%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SWW604_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 : n028.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 152.44s 152.72s % Output : Proof 152.44s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SWW604_2 : TPTP v9.2.1. Released v6.1.0. % 0.12/0.14 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.19/0.35 % Computer : n028.cluster.edu % 0.19/0.35 % Model : x86_64 x86_64 % 0.19/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.19/0.35 % Memory : 8042.1875MB % 0.19/0.35 % OS : Linux 3.10.0-693.el7.x86_64 % 0.19/0.35 % CPULimit : 300 % 0.19/0.35 % WCLimit : 300 % 0.19/0.35 % DateTime : Tue Jun 2 22:18:20 EDT 2026 % 0.19/0.35 % CPUTime : % 0.28/0.53 %----Proving TF0_ARI % 152.44/152.72 --- Run --finite-model-find --decision=internal at 45... % 152.44/152.72 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 60... % 152.44/152.72 --- Run --no-e-matching --full-saturate-quant at 45... % 152.44/152.72 --- Run --cegqi-all --purify-triggers --full-saturate-quant at 45... % 152.44/152.72 % SZS status Theorem % 152.44/152.72 % SZS output start Proof % 152.44/152.72 ( % 152.44/152.72 (declare-sort tptp.uni 0) % 152.44/152.72 (declare-sort tptp.ty 0) % 152.44/152.72 (declare-sort tptp.bool1 0) % 152.44/152.72 (declare-sort tptp.a1 0) % 152.44/152.72 (declare-sort tptp.tuple02 0) % 152.44/152.72 (declare-sort tptp.array_lplist_lpkeycm_a1rprp 0) % 152.44/152.72 (declare-sort tptp.key1 0) % 152.44/152.72 (declare-sort tptp.list_lpkeycm_a1rp 0) % 152.44/152.72 (declare-sort tptp.map_int_lplist_lpkeycm_a1rprp 0) % 152.44/152.72 (declare-sort tptp.map_key_lpoption_a1rp 0) % 152.44/152.72 (declare-sort tptp.option_a1 0) % 152.44/152.72 (declare-const tptp.tb2t7 (-> tptp.uni tptp.a1)) % 152.44/152.72 (declare-const tptp.tb2t6 (-> tptp.uni tptp.list_lpkeycm_a1rp)) % 152.44/152.72 (declare-const tptp.tb2t5 (-> tptp.uni tptp.array_lplist_lpkeycm_a1rprp)) % 152.44/152.72 (declare-const tptp.t2tb5 (-> tptp.array_lplist_lpkeycm_a1rprp tptp.uni)) % 152.44/152.72 (declare-const tptp.array (-> tptp.ty tptp.ty)) % 152.44/152.72 (declare-const tptp.some (-> tptp.ty tptp.uni tptp.uni)) % 152.44/152.72 (declare-const tptp.tuple2_proj_11 (-> tptp.ty tptp.ty tptp.uni tptp.uni)) % 152.44/152.72 (declare-const tptp.elts (-> tptp.ty tptp.uni tptp.uni)) % 152.44/152.72 (declare-const tptp.good_hash1 (-> tptp.ty tptp.uni Int Bool)) % 152.44/152.72 (declare-const tptp.t2tb2 (-> tptp.map_int_lplist_lpkeycm_a1rprp tptp.uni)) % 152.44/152.72 (declare-const tptp.cons_proj_21 (-> tptp.ty tptp.uni tptp.uni)) % 152.44/152.72 (declare-const tptp.cons_proj_11 (-> tptp.ty tptp.uni tptp.uni)) % 152.44/152.72 (declare-const tptp.length1 (-> tptp.ty tptp.uni Int)) % 152.44/152.72 (declare-const tptp.get (-> tptp.ty tptp.ty tptp.uni tptp.uni tptp.uni)) % 152.44/152.72 (declare-const tptp.t2tb7 (-> tptp.a1 tptp.uni)) % 152.44/152.72 (declare-const tptp.witness1 (-> tptp.ty tptp.uni)) % 152.44/152.72 (declare-const tptp.const (-> tptp.ty tptp.ty tptp.uni tptp.uni)) % 152.44/152.72 (declare-const tptp.mem (-> tptp.ty tptp.uni tptp.uni Bool)) % 152.44/152.72 (declare-const tptp.tuple03 tptp.tuple02) % 152.44/152.72 (declare-const tptp.none (-> tptp.ty tptp.uni)) % 152.44/152.72 (declare-const tptp.tuple21 (-> tptp.ty tptp.ty tptp.uni tptp.uni tptp.uni)) % 152.44/152.72 (declare-const tptp.list (-> tptp.ty tptp.ty)) % 152.44/152.72 (declare-const tptp.option (-> tptp.ty tptp.ty)) % 152.44/152.72 (declare-const tptp.tuple2 (-> tptp.ty tptp.ty tptp.ty)) % 152.44/152.72 (declare-const tptp.match_bool1 (-> tptp.ty tptp.bool1 tptp.uni tptp.uni tptp.uni)) % 152.44/152.72 (declare-const tptp.true1 tptp.bool1) % 152.44/152.72 (declare-const tptp.false1 tptp.bool1) % 152.44/152.72 (declare-const tptp.abs1 (-> Int Int)) % 152.44/152.72 (declare-const tptp.nil (-> tptp.ty tptp.uni)) % 152.44/152.72 (declare-const tptp.mk_array1 (-> tptp.ty Int tptp.uni tptp.uni)) % 152.44/152.72 (declare-const tptp.match_list1 (-> tptp.ty tptp.ty tptp.uni tptp.uni tptp.uni tptp.uni)) % 152.44/152.72 (declare-const tptp.t2tb4 (-> tptp.option_a1 tptp.uni)) % 152.44/152.72 (declare-const tptp.a tptp.ty) % 152.44/152.72 (declare-const tptp.mod1 (-> Int Int Int)) % 152.44/152.72 (declare-const tptp.some_proj_11 (-> tptp.ty tptp.uni tptp.uni)) % 152.44/152.72 (declare-const tptp.div1 (-> Int Int Int)) % 152.44/152.72 (declare-const tptp.set (-> tptp.ty tptp.ty tptp.uni tptp.uni tptp.uni tptp.uni)) % 152.44/152.72 (declare-const tptp.mk_t1 (-> tptp.ty Int tptp.uni tptp.uni tptp.uni)) % 152.44/152.72 (declare-const tptp.match_option1 (-> tptp.ty tptp.ty tptp.uni tptp.uni tptp.uni tptp.uni)) % 152.44/152.72 (declare-const tptp.good_data1 (-> tptp.ty tptp.key1 tptp.uni tptp.uni tptp.uni Bool)) % 152.44/152.72 (declare-const tptp.int tptp.ty) % 152.44/152.72 (declare-const tptp.get2 (-> tptp.ty tptp.uni Int tptp.uni)) % 152.44/152.72 (declare-const tptp.t2tb1 (-> tptp.key1 tptp.uni)) % 152.44/152.72 (declare-const tptp.t (-> tptp.ty tptp.ty)) % 152.44/152.72 (declare-const tptp.t2tb (-> Int tptp.uni)) % 152.44/152.72 (declare-const tptp.tb2t3 (-> tptp.uni tptp.map_key_lpoption_a1rp)) % 152.44/152.72 (declare-const tptp.tb2t1 (-> tptp.uni tptp.key1)) % 152.44/152.72 (declare-const tptp.tb2t (-> tptp.uni Int)) % 152.44/152.72 (declare-const tptp.set2 (-> tptp.ty tptp.uni Int tptp.uni tptp.uni)) % 152.44/152.72 (declare-const tptp.map (-> tptp.ty tptp.ty tptp.ty)) % 152.44/152.72 (declare-const tptp.make1 (-> tptp.ty Int tptp.uni tptp.uni)) % 152.44/152.72 (declare-const tptp.tuple2_proj_21 (-> tptp.ty tptp.ty tptp.uni tptp.uni)) % 152.44/152.72 (declare-const tptp.t2tb6 (-> tptp.list_lpkeycm_a1rp tptp.uni)) % 152.44/152.72 (declare-const tptp.key tptp.ty) % 152.44/152.72 (declare-const tptp.t2tb3 (-> tptp.map_key_lpoption_a1rp tptp.uni)) % 152.44/152.72 (declare-const tptp.in_data1 (-> tptp.ty tptp.key1 tptp.uni tptp.uni Bool)) % 152.44/152.72 (declare-const tptp.hash1 (-> tptp.key1 Int)) % 152.44/152.72 (declare-const tptp.size1 (-> tptp.ty tptp.uni Int)) % 152.44/152.72 (declare-const tptp.bucket1 (-> tptp.key1 Int Int)) % 152.44/152.72 (declare-const tptp.data (-> tptp.ty tptp.uni tptp.uni)) % 152.44/152.72 (declare-const tptp.sort1 (-> tptp.ty tptp.uni Bool)) % 152.44/152.72 (declare-const tptp.view (-> tptp.ty tptp.uni tptp.uni)) % 152.44/152.72 (declare-const tptp.cons (-> tptp.ty tptp.uni tptp.uni tptp.uni)) % 152.44/152.72 (declare-const tptp.tb2t2 (-> tptp.uni tptp.map_int_lplist_lpkeycm_a1rprp)) % 152.44/152.72 (declare-const tptp.tb2t4 (-> tptp.uni tptp.option_a1)) % 152.44/152.72 (define @t1 () (@var "A" tptp.ty)) % 152.44/152.72 (define @t2 () (@list @t1)) % 152.44/152.72 (define @t3 () (@var "X2" tptp.uni)) % 152.44/152.72 (define @t4 () (@var "X1" tptp.uni)) % 152.44/152.72 (define @t5 () (@var "X" tptp.bool1)) % 152.44/152.72 (define @t6 () (@var "Z" tptp.uni)) % 152.44/152.72 (define @t7 () (@var "Z1" tptp.uni)) % 152.44/152.72 (define @t8 () (@list @t1 @t6 @t7)) % 152.44/152.72 (define @t9 () (@var "U" tptp.bool1)) % 152.44/152.72 (define @t10 () (@var "U" tptp.tuple02)) % 152.44/152.72 (define @t11 () (@var "Z" Int)) % 152.44/152.72 (define @t12 () (@var "Y" Int)) % 152.44/152.72 (define @t13 () (@var "X" Int)) % 152.44/152.72 (define @t14 () (<= 0 @t11)) % 152.44/152.72 (define @t15 () (<= @t13 @t12)) % 152.44/152.72 (define @t16 () (@list @t13 @t12 @t11)) % 152.44/152.72 (define @t17 () (tptp.abs1 @t13)) % 152.44/152.72 (define @t18 () (<= 0 @t13)) % 152.44/152.72 (define @t19 () (@list @t13)) % 152.44/152.72 (define @t20 () (@list @t13 @t12)) % 152.44/152.72 (define @t21 () (tptp.mod1 @t13 @t12)) % 152.44/152.72 (define @t22 () (tptp.div1 @t13 @t12)) % 152.44/152.72 (define @t23 () (not (= @t12 0))) % 152.44/152.72 (define @t24 () (<= 0 @t22)) % 152.44/152.72 (define @t25 () (< 0 @t12)) % 152.44/152.72 (define @t26 () (and @t18 @t25)) % 152.44/152.72 (define @t27 () (tptp.abs1 @t12)) % 152.44/152.72 (define @t28 () (<= @t13 0)) % 152.44/152.72 (define @t29 () (and @t18 (< @t13 @t12))) % 152.44/152.72 (define @t30 () (+ (* @t13 @t12) @t11)) % 152.44/152.72 (define @t31 () (and (< 0 @t13) (<= 0 @t12) @t14)) % 152.44/152.72 (define @t32 () (tptp.none @t1)) % 152.44/152.72 (define @t33 () (tptp.option @t1)) % 152.44/152.72 (define @t34 () (@var "X" tptp.uni)) % 152.44/152.72 (define @t35 () (@list @t1 @t34)) % 152.44/152.72 (define @t36 () (@var "A1" tptp.ty)) % 152.44/152.72 (define @t37 () (@list @t1 @t36 @t34 @t4 @t3)) % 152.44/152.72 (define @t38 () (tptp.sort1 @t36 @t6)) % 152.44/152.72 (define @t39 () (@list @t1 @t36 @t6 @t7)) % 152.44/152.72 (define @t40 () (@var "U" tptp.uni)) % 152.44/152.72 (define @t41 () (tptp.some @t1 @t40)) % 152.44/152.72 (define @t42 () (tptp.sort1 @t36 @t7)) % 152.44/152.72 (define @t43 () (@var "V" tptp.uni)) % 152.44/152.72 (define @t44 () (tptp.some @t1 @t43)) % 152.44/152.72 (define @t45 () (tptp.sort1 @t1 @t40)) % 152.44/152.72 (define @t46 () (@list @t1 @t40)) % 152.44/152.72 (define @t47 () (tptp.nil @t1)) % 152.44/152.72 (define @t48 () (tptp.list @t1)) % 152.44/152.72 (define @t49 () (@var "U1" tptp.uni)) % 152.44/152.72 (define @t50 () (tptp.cons @t1 @t40 @t49)) % 152.44/152.72 (define @t51 () (@var "V1" tptp.uni)) % 152.44/152.72 (define @t52 () (@list @t1 @t40 @t49)) % 152.44/152.72 (define @t53 () (tptp.mem @t1 @t34 @t3)) % 152.44/152.72 (define @t54 () (or (= @t34 @t4) @t53)) % 152.44/152.72 (define @t55 () (tptp.mem @t1 @t34 (tptp.cons @t1 @t4 @t3))) % 152.44/152.72 (define @t56 () (= @t55 @t54)) % 152.44/152.72 (define @t57 () (tptp.sort1 @t1 @t4)) % 152.44/152.72 (define @t58 () (=> @t57 @t56)) % 152.44/152.72 (define @t59 () (@list @t4 @t3)) % 152.44/152.72 (define @t60 () (forall @t59 @t58)) % 152.44/152.72 (define @t61 () (not (tptp.mem @t1 @t34 @t47))) % 152.44/152.72 (define @t62 () (and @t61 @t60)) % 152.44/152.72 (define @t63 () (tptp.sort1 @t1 @t34)) % 152.44/152.72 (define @t64 () (=> @t63 @t62)) % 152.44/152.72 (define @t65 () (forall @t35 @t64)) % 152.44/152.72 (define @t66 () (@var "B" tptp.ty)) % 152.44/152.72 (define @t67 () (tptp.map @t1 @t66)) % 152.44/152.72 (define @t68 () (@var "B1" tptp.uni)) % 152.44/152.72 (define @t69 () (@var "A2" tptp.uni)) % 152.44/152.72 (define @t70 () (@var "A1" tptp.uni)) % 152.44/152.72 (define @t71 () (@var "M" tptp.uni)) % 152.44/152.72 (define @t72 () (tptp.get @t66 @t1 (tptp.set @t66 @t1 @t71 @t70 @t68) @t69)) % 152.44/152.72 (define @t73 () (= @t70 @t69)) % 152.44/152.72 (define @t74 () (tptp.sort1 @t66 @t68)) % 152.44/152.72 (define @t75 () (tptp.get @t66 @t1 (tptp.const @t66 @t1 @t68) @t70)) % 152.44/152.72 (define @t76 () (=> @t74 (= @t75 @t68))) % 152.44/152.72 (define @t77 () (@list @t1 @t66 @t68 @t70)) % 152.44/152.72 (define @t78 () (forall @t77 @t76)) % 152.44/152.72 (define @t79 () (tptp.array @t1)) % 152.44/152.72 (define @t80 () (@list @t1 @t13 @t4)) % 152.44/152.72 (define @t81 () (@var "U" Int)) % 152.44/152.72 (define @t82 () (tptp.mk_array1 @t1 @t81 @t49)) % 152.44/152.72 (define @t83 () (tptp.length1 @t1 @t82)) % 152.44/152.72 (define @t84 () (= @t83 @t81)) % 152.44/152.72 (define @t85 () (@list @t1 @t81 @t49)) % 152.44/152.72 (define @t86 () (forall @t85 @t84)) % 152.44/152.72 (define @t87 () (tptp.map tptp.int @t1)) % 152.44/152.72 (define @t88 () (tptp.elts @t1 @t82)) % 152.44/152.72 (define @t89 () (tptp.sort1 @t87 @t49)) % 152.44/152.72 (define @t90 () (=> @t89 (= @t88 @t49))) % 152.44/152.72 (define @t91 () (forall @t85 @t90)) % 152.44/152.72 (define @t92 () (@var "X1" Int)) % 152.44/152.72 (define @t93 () (@var "I" Int)) % 152.44/152.72 (define @t94 () (tptp.t2tb @t93)) % 152.44/152.72 (define @t95 () (@list @t93)) % 152.44/152.72 (define @t96 () (@var "J" tptp.uni)) % 152.44/152.72 (define @t97 () (@list @t96)) % 152.44/152.72 (define @t98 () (tptp.elts @t1 @t70)) % 152.44/152.72 (define @t99 () (@var "N" Int)) % 152.44/152.72 (define @t100 () (@var "K" tptp.key1)) % 152.44/152.72 (define @t101 () (tptp.hash1 @t100)) % 152.44/152.72 (define @t102 () (@list @t100)) % 152.44/152.72 (define @t103 () (tptp.bucket1 @t100 @t99)) % 152.44/152.72 (define @t104 () (and (<= 0 @t103) (< @t103 @t99))) % 152.44/152.72 (define @t105 () (forall @t102 @t104)) % 152.44/152.72 (define @t106 () (=> (< 0 @t99) @t105)) % 152.44/152.72 (define @t107 () (@list @t99)) % 152.44/152.72 (define @t108 () (forall @t107 @t106)) % 152.44/152.72 (define @t109 () (tptp.tuple2 @t36 @t1)) % 152.44/152.72 (define @t110 () (@list @t1 @t36 @t34)) % 152.44/152.72 (define @t111 () (tptp.tuple21 @t36 @t1 @t40 @t49)) % 152.44/152.72 (define @t112 () (@list @t1 @t36 @t40 @t49)) % 152.44/152.72 (define @t113 () (@var "X" tptp.key1)) % 152.44/152.72 (define @t114 () (@var "I" tptp.key1)) % 152.44/152.72 (define @t115 () (@var "D" tptp.uni)) % 152.44/152.72 (define @t116 () (tptp.tuple2 tptp.key @t1)) % 152.44/152.72 (define @t117 () (tptp.list @t116)) % 152.44/152.72 (define @t118 () (tptp.bucket1 @t100 (tptp.length1 @t117 @t115))) % 152.44/152.72 (define @t119 () (tptp.t2tb1 @t100)) % 152.44/152.72 (define @t120 () (tptp.tuple21 tptp.key @t1 @t119 @t43)) % 152.44/152.72 (define @t121 () (tptp.in_data1 @t1 @t100 @t43 @t115)) % 152.44/152.72 (define @t122 () (tptp.get @t33 tptp.key @t71 @t119)) % 152.44/152.72 (define @t123 () (= @t122 @t44)) % 152.44/152.72 (define @t124 () (tptp.good_data1 @t1 @t100 @t43 @t71 @t115)) % 152.44/152.72 (define @t125 () (= @t124 (= @t123 @t121))) % 152.44/152.72 (define @t126 () (forall (@list @t1 @t100 @t43 @t71 @t115) @t125)) % 152.44/152.72 (define @t127 () (tptp.good_hash1 @t1 @t115 @t93)) % 152.44/152.72 (define @t128 () (= @t118 @t93)) % 152.44/152.72 (define @t129 () (tptp.mem @t116 @t120 (tptp.get2 @t117 @t115 @t93))) % 152.44/152.72 (define @t130 () (=> @t129 @t128)) % 152.44/152.72 (define @t131 () (tptp.sort1 @t1 @t43)) % 152.44/152.72 (define @t132 () (=> @t131 @t130)) % 152.44/152.72 (define @t133 () (@list @t100 @t43)) % 152.44/152.72 (define @t134 () (forall @t133 @t132)) % 152.44/152.72 (define @t135 () (=> @t134 @t127)) % 152.44/152.72 (define @t136 () (forall @t133 @t130)) % 152.44/152.72 (define @t137 () (=> @t127 @t136)) % 152.44/152.72 (define @t138 () (and @t137 @t135)) % 152.44/152.72 (define @t139 () (@list @t1 @t115 @t93)) % 152.44/152.72 (define @t140 () (forall @t139 @t138)) % 152.44/152.72 (define @t141 () (@var "U2" tptp.uni)) % 152.44/152.72 (define @t142 () (tptp.mk_t1 @t1 @t81 @t49 @t141)) % 152.44/152.72 (define @t143 () (@list @t1 @t81 @t49 @t141)) % 152.44/152.72 (define @t144 () (tptp.map tptp.key @t33)) % 152.44/152.72 (define @t145 () (@var "X" tptp.map_int_lplist_lpkeycm_a1rprp)) % 152.44/152.72 (define @t146 () (tptp.tuple2 tptp.key tptp.a)) % 152.44/152.72 (define @t147 () (tptp.list @t146)) % 152.44/152.72 (define @t148 () (tptp.map tptp.int @t147)) % 152.44/152.72 (define @t149 () (@var "I" tptp.map_int_lplist_lpkeycm_a1rprp)) % 152.44/152.72 (define @t150 () (@var "X" tptp.map_key_lpoption_a1rp)) % 152.44/152.72 (define @t151 () (tptp.option tptp.a)) % 152.44/152.72 (define @t152 () (tptp.map tptp.key @t151)) % 152.44/152.72 (define @t153 () (@var "I" tptp.map_key_lpoption_a1rp)) % 152.44/152.72 (define @t154 () (tptp.t2tb3 (tptp.tb2t3 @t96))) % 152.44/152.72 (define @t155 () (tptp.sort1 @t152 @t96)) % 152.44/152.72 (define @t156 () (=> @t155 (= @t154 @t96))) % 152.44/152.72 (define @t157 () (forall @t97 @t156)) % 152.44/152.72 (define @t158 () (@var "X" tptp.option_a1)) % 152.44/152.72 (define @t159 () (@var "I" tptp.option_a1)) % 152.44/152.72 (define @t160 () (@var "X" tptp.array_lplist_lpkeycm_a1rprp)) % 152.44/152.72 (define @t161 () (@var "I" tptp.array_lplist_lpkeycm_a1rprp)) % 152.44/152.72 (define @t162 () (@var "X" tptp.list_lpkeycm_a1rp)) % 152.44/152.72 (define @t163 () (@var "I" tptp.list_lpkeycm_a1rp)) % 152.44/152.72 (define @t164 () (tptp.t2tb6 (tptp.tb2t6 @t96))) % 152.44/152.72 (define @t165 () (forall @t97 (= @t164 @t96))) % 152.44/152.72 (define @t166 () (@var "X" tptp.a1)) % 152.44/152.72 (define @t167 () (@var "I" tptp.a1)) % 152.44/152.72 (define @t168 () (tptp.none tptp.a)) % 152.44/152.72 (define @t169 () (tptp.const @t151 tptp.key @t168)) % 152.44/152.72 (define @t170 () (tptp.tb2t3 @t169)) % 152.44/152.72 (define @t171 () (@var "Rho1" tptp.map_key_lpoption_a1rp)) % 152.44/152.72 (define @t172 () (= @t171 @t170)) % 152.44/152.72 (define @t173 () (@var "H" Int)) % 152.44/152.72 (define @t174 () (<= 0 @t173)) % 152.44/152.72 (define @t175 () (@var "O" tptp.map_int_lplist_lpkeycm_a1rprp)) % 152.44/152.72 (define @t176 () (tptp.t2tb2 @t175)) % 152.44/152.72 (define @t177 () (tptp.mk_array1 @t147 @t173 @t176)) % 152.44/152.72 (define @t178 () (tptp.t2tb3 @t171)) % 152.44/152.72 (define @t179 () (@var "V" tptp.a1)) % 152.44/152.72 (define @t180 () (tptp.t2tb7 @t179)) % 152.44/152.72 (define @t181 () (@list @t100 @t179)) % 152.44/152.72 (define @t182 () (forall @t181 (tptp.good_data1 tptp.a @t100 @t180 @t178 @t177))) % 152.44/152.72 (define @t183 () (tptp.good_hash1 tptp.a @t177 @t93)) % 152.44/152.72 (define @t184 () (< @t93 @t173)) % 152.44/152.72 (define @t185 () (<= 0 @t93)) % 152.44/152.72 (define @t186 () (and @t185 @t184)) % 152.44/152.72 (define @t187 () (=> @t186 @t183)) % 152.44/152.72 (define @t188 () (forall @t95 @t187)) % 152.44/152.72 (define @t189 () (< 0 @t173)) % 152.44/152.72 (define @t190 () (and @t189 @t188 @t182 @t174 @t172)) % 152.44/152.72 (define @t191 () (=> @t172 @t190)) % 152.44/152.72 (define @t192 () (@list @t171)) % 152.44/152.72 (define @t193 () (forall @t192 @t191)) % 152.44/152.72 (define @t194 () (tptp.nil @t146)) % 152.44/152.72 (define @t195 () (tptp.tb2t6 @t194)) % 152.44/152.72 (define @t196 () (tptp.tb2t6 (tptp.get @t147 tptp.int @t176 @t94))) % 152.44/152.72 (define @t197 () (= @t196 @t195)) % 152.44/152.72 (define @t198 () (+ 0 @t173)) % 152.44/152.72 (define @t199 () (and @t185 (< @t93 @t198))) % 152.44/152.72 (define @t200 () (=> @t199 @t197)) % 152.44/152.72 (define @t201 () (forall @t95 @t200)) % 152.44/152.72 (define @t202 () (@var "H1" tptp.map_int_lplist_lpkeycm_a1rprp)) % 152.44/152.72 (define @t203 () (tptp.t2tb2 @t202)) % 152.44/152.72 (define @t204 () (= @t196 (tptp.tb2t6 (tptp.get @t147 tptp.int @t203 @t94)))) % 152.44/152.72 (define @t205 () (<= @t198 @t93)) % 152.44/152.72 (define @t206 () (and @t205 @t184)) % 152.44/152.72 (define @t207 () (and @t185 (< @t93 0))) % 152.44/152.72 (define @t208 () (or @t207 @t206)) % 152.44/152.72 (define @t209 () (=> @t208 @t204)) % 152.44/152.72 (define @t210 () (forall @t95 @t209)) % 152.44/152.72 (define @t211 () (and @t174 @t210 @t201)) % 152.44/152.72 (define @t212 () (=> @t211 @t193)) % 152.44/152.72 (define @t213 () (@list @t175)) % 152.44/152.72 (define @t214 () (forall @t213 @t212)) % 152.44/152.72 (define @t215 () (<= @t198 @t173)) % 152.44/152.72 (define @t216 () (<= 0 0)) % 152.44/152.72 (define @t217 () (and @t216 @t174 @t215 @t214)) % 152.44/152.72 (define @t218 () (@var "Rho" Int)) % 152.44/152.72 (define @t219 () (= @t218 0)) % 152.44/152.72 (define @t220 () (=> @t219 @t217)) % 152.44/152.72 (define @t221 () (@list @t218)) % 152.44/152.72 (define @t222 () (forall @t221 @t220)) % 152.44/152.72 (define @t223 () (tptp.mk_array1 @t147 @t173 @t203)) % 152.44/152.72 (define @t224 () (@var "H2" tptp.map_key_lpoption_a1rp)) % 152.44/152.72 (define @t225 () (forall @t181 (tptp.good_data1 tptp.a @t100 @t180 (tptp.t2tb3 @t224) @t223))) % 152.44/152.72 (define @t226 () (tptp.good_hash1 tptp.a @t223 @t93)) % 152.44/152.72 (define @t227 () (=> @t186 @t226)) % 152.44/152.72 (define @t228 () (forall @t95 @t227)) % 152.44/152.72 (define @t229 () (and @t189 @t228 @t225 @t174)) % 152.44/152.72 (define @t230 () (=> @t229 @t222)) % 152.44/152.72 (define @t231 () (@list @t173 @t202 @t224)) % 152.44/152.72 (define @t232 () (forall @t231 @t230)) % 152.44/152.72 (define @t233 () (not @t232)) % 152.44/152.72 (define @t234 () (>= @t173 0)) % 152.44/152.72 (define @t235 () (@var "BOUND_VARIABLE_9044" tptp.map_int_lplist_lpkeycm_a1rprp)) % 152.44/152.72 (define @t236 () (tptp.t2tb2 @t235)) % 152.44/152.72 (define @t237 () (tptp.mk_array1 @t147 @t173 @t236)) % 152.44/152.72 (define @t238 () (tptp.t2tb3 @t170)) % 152.44/152.72 (define @t239 () (@var "BOUND_VARIABLE_9050" tptp.a1)) % 152.44/152.72 (define @t240 () (@var "BOUND_VARIABLE_9048" tptp.key1)) % 152.44/152.72 (define @t241 () (@var "BOUND_VARIABLE_9046" Int)) % 152.44/152.72 (define @t242 () (>= @t173 1)) % 152.44/152.72 (define @t243 () (and @t242 (or (not (>= @t241 0)) (not (>= (+ @t173 (* -1 @t241)) 1)) (tptp.good_hash1 tptp.a @t237 @t241)) (tptp.good_data1 tptp.a @t240 (tptp.t2tb7 @t239) @t238 @t237) @t234)) % 152.44/152.72 (define @t244 () (tptp.tb2t6 (tptp.get @t147 tptp.int @t236 @t94))) % 152.44/152.72 (define @t245 () (* -1 @t173)) % 152.44/152.72 (define @t246 () (+ @t93 @t245)) % 152.44/152.72 (define @t247 () (>= @t246 0)) % 152.44/152.72 (define @t248 () (>= @t93 0)) % 152.44/152.72 (define @t249 () (not @t248)) % 152.44/152.72 (define @t250 () (or @t249 @t247 (= @t244 @t195))) % 152.44/152.72 (define @t251 () (forall @t95 @t250)) % 152.44/152.72 (define @t252 () (not @t251)) % 152.44/152.72 (define @t253 () (not @t234)) % 152.44/152.72 (define @t254 () (or @t253 @t252 @t243)) % 152.44/152.72 (define @t255 () (or @t252 @t243)) % 152.44/152.72 (define @t256 () (or @t253 @t255)) % 152.44/152.72 (define @t257 () (and @t234 @t256)) % 152.44/152.72 (define @t258 () (not @t225)) % 152.44/152.72 (define @t259 () (or @t249 @t247 @t226)) % 152.44/152.72 (define @t260 () (forall @t95 @t259)) % 152.44/152.72 (define @t261 () (not @t260)) % 152.44/152.72 (define @t262 () (not @t242)) % 152.44/152.72 (define @t263 () (or @t262 @t261 @t258 @t253 @t257)) % 152.44/152.72 (define @t264 () (@list @t173 @t202 @t224 @t235 @t241 @t240 @t239)) % 152.44/152.72 (define @t265 () (forall @t264 @t263)) % 152.44/152.72 (define @t266 () (@list @t235 @t241 @t240 @t239)) % 152.44/152.72 (define @t267 () (forall @t266 @t263)) % 152.44/152.72 (define @t268 () (forall @t266 @t255)) % 152.44/152.72 (define @t269 () (@var "BOUND_VARIABLE_9015" tptp.a1)) % 152.44/152.72 (define @t270 () (@var "BOUND_VARIABLE_9013" tptp.key1)) % 152.44/152.72 (define @t271 () (@var "BOUND_VARIABLE_9003" Int)) % 152.44/152.72 (define @t272 () (or @t253 @t268)) % 152.44/152.72 (define @t273 () (forall @t266 @t256)) % 152.44/152.72 (define @t274 () (forall @t266 @t234)) % 152.44/152.72 (define @t275 () (and @t274 @t273)) % 152.44/152.72 (define @t276 () (forall @t266 @t257)) % 152.44/152.72 (define @t277 () (or @t262 @t261 @t258 @t253 @t276)) % 152.44/152.72 (define @t278 () (tptp.good_data1 tptp.a @t270 (tptp.t2tb7 @t269) @t238 @t177)) % 152.44/152.72 (define @t279 () (or (not (>= @t271 0)) (not (>= (+ @t173 (* -1 @t271)) 1)) (tptp.good_hash1 tptp.a @t177 @t271))) % 152.44/152.72 (define @t280 () (and @t242 @t279 @t278 @t234)) % 152.44/152.72 (define @t281 () (or @t249 @t247 @t197)) % 152.44/152.72 (define @t282 () (forall @t95 @t281)) % 152.44/152.72 (define @t283 () (not @t282)) % 152.44/152.72 (define @t284 () (or @t283 @t280)) % 152.44/152.72 (define @t285 () (forall (@list @t175 @t271 @t270 @t269) @t284)) % 152.44/152.72 (define @t286 () (or @t253 @t285)) % 152.44/152.72 (define @t287 () (and @t234 @t286)) % 152.44/152.72 (define @t288 () (or @t262 @t261 @t258 @t253 @t287)) % 152.44/152.72 (define @t289 () (or @t262 @t261 @t258 @t253)) % 152.44/152.72 (define @t290 () (and @t242 @t260 @t225 @t234)) % 152.44/152.72 (define @t291 () (= 0 0)) % 152.44/152.72 (define @t292 () (not @t291)) % 152.44/152.72 (define @t293 () (not @t219)) % 152.44/152.72 (define @t294 () (or @t293 @t293)) % 152.44/152.72 (define @t295 () (forall @t221 @t293)) % 152.44/152.72 (define @t296 () (or @t287 @t295)) % 152.44/152.72 (define @t297 () (or @t287 @t293)) % 152.44/152.72 (define @t298 () (or @t293 @t287)) % 152.44/152.72 (define @t299 () (@list @t271 @t270 @t269)) % 152.44/152.72 (define @t300 () (forall @t299 @t284)) % 152.44/152.72 (define @t301 () (forall @t299 @t234)) % 152.44/152.72 (define @t302 () (forall (@list @t270 @t269) @t278)) % 152.44/152.72 (define @t303 () (@var "BOUND_VARIABLE_8972" tptp.a1)) % 152.44/152.72 (define @t304 () (@var "BOUND_VARIABLE_8970" tptp.key1)) % 152.44/152.72 (define @t305 () (forall @t299 @t278)) % 152.44/152.72 (define @t306 () (forall (@list @t271) @t279)) % 152.44/152.72 (define @t307 () (@var "BOUND_VARIABLE_8952" Int)) % 152.44/152.72 (define @t308 () (forall @t299 @t279)) % 152.44/152.72 (define @t309 () (forall @t299 @t242)) % 152.44/152.72 (define @t310 () (and @t309 @t308 @t305 @t301)) % 152.44/152.72 (define @t311 () (forall @t299 @t280)) % 152.44/152.72 (define @t312 () (or @t283 @t311)) % 152.44/152.72 (define @t313 () (tptp.good_data1 tptp.a @t304 (tptp.t2tb7 @t303) @t238 @t177)) % 152.44/152.72 (define @t314 () (forall (@list @t304 @t303) @t313)) % 152.44/152.72 (define @t315 () (or (not (>= @t307 0)) (not (>= (+ @t173 (* -1 @t307)) 1)) (tptp.good_hash1 tptp.a @t177 @t307))) % 152.44/152.72 (define @t316 () (forall (@list @t307) @t315)) % 152.44/152.72 (define @t317 () (and @t242 @t316 @t314 @t234)) % 152.44/152.72 (define @t318 () (or @t283 @t317)) % 152.44/152.72 (define @t319 () (forall @t213 @t318)) % 152.44/152.72 (define @t320 () (or @t253 @t319)) % 152.44/152.72 (define @t321 () (or @t253 @t318)) % 152.44/152.72 (define @t322 () (or @t253 @t283 @t317)) % 152.44/152.72 (define @t323 () (and @t234 @t282)) % 152.44/152.72 (define @t324 () (@var "BOUND_VARIABLE_8968" Int)) % 152.44/152.72 (define @t325 () (forall (@list @t324 @t304 @t303) @t313)) % 152.44/152.72 (define @t326 () (@var "BOUND_VARIABLE_8956" tptp.a1)) % 152.44/152.72 (define @t327 () (@var "BOUND_VARIABLE_8954" tptp.key1)) % 152.44/152.72 (define @t328 () (forall (@list @t307 @t327 @t326) @t315)) % 152.44/152.72 (define @t329 () (@var "BOUND_VARIABLE_8922" tptp.a1)) % 152.44/152.72 (define @t330 () (@var "BOUND_VARIABLE_8920" tptp.key1)) % 152.44/152.72 (define @t331 () (@var "BOUND_VARIABLE_8912" Int)) % 152.44/152.72 (define @t332 () (@list @t331 @t330 @t329)) % 152.44/152.72 (define @t333 () (forall @t332 @t234)) % 152.44/152.72 (define @t334 () (tptp.t2tb7 @t329)) % 152.44/152.72 (define @t335 () (tptp.good_data1 tptp.a @t330 @t334 @t238 @t177)) % 152.44/152.72 (define @t336 () (forall @t332 @t335)) % 152.44/152.72 (define @t337 () (@list @t331 @t330 @t329)) % 152.44/152.72 (define @t338 () (tptp.good_hash1 tptp.a @t177 @t331)) % 152.44/152.72 (define @t339 () (+ @t173 (* -1 @t331))) % 152.44/152.72 (define @t340 () (not (>= @t331 0))) % 152.44/152.72 (define @t341 () (or @t340 (not (>= @t339 1)) @t338)) % 152.44/152.72 (define @t342 () (forall @t332 @t341)) % 152.44/152.72 (define @t343 () (forall @t332 @t242)) % 152.44/152.72 (define @t344 () (and @t343 @t342 @t336 @t333)) % 152.44/152.72 (define @t345 () (and @t242 @t341 @t335 @t234)) % 152.44/152.72 (define @t346 () (= @t170 @t170)) % 152.44/152.72 (define @t347 () (and @t242 @t341 @t335 @t234 @t346)) % 152.44/152.72 (define @t348 () (not @t346)) % 152.44/152.72 (define @t349 () (or @t348 @t347)) % 152.44/152.72 (define @t350 () (tptp.good_data1 tptp.a @t330 @t334 @t178 @t177)) % 152.44/152.72 (define @t351 () (and @t242 @t341 @t350 @t234 @t172)) % 152.44/152.72 (define @t352 () (not @t172)) % 152.44/152.72 (define @t353 () (or @t352 @t352 @t351)) % 152.44/152.72 (define @t354 () (or @t352 @t351)) % 152.44/152.72 (define @t355 () (forall @t192 @t354)) % 152.44/152.72 (define @t356 () (forall @t332 @t355)) % 152.44/152.72 (define @t357 () (forall (@list @t331 @t330 @t329 @t171) @t354)) % 152.44/152.72 (define @t358 () (@list @t171 @t331 @t330 @t329)) % 152.44/152.72 (define @t359 () (+ @t245 @t331)) % 152.44/152.72 (define @t360 () (+ @t339 1)) % 152.44/152.72 (define @t361 () (+ @t331 @t245)) % 152.44/152.72 (define @t362 () (>= @t361 0)) % 152.44/152.72 (define @t363 () (or @t340 @t362 @t338)) % 152.44/152.72 (define @t364 () (and @t242 @t363 @t350 @t234 @t172)) % 152.44/152.72 (define @t365 () (or @t352 @t364)) % 152.44/152.72 (define @t366 () (forall @t358 @t365)) % 152.44/152.72 (define @t367 () (forall @t332 @t365)) % 152.44/152.72 (define @t368 () (forall @t332 @t172)) % 152.44/152.72 (define @t369 () (forall (@list @t330 @t329) @t350)) % 152.44/152.72 (define @t370 () (forall @t332 @t350)) % 152.44/152.72 (define @t371 () (forall (@list @t331) @t363)) % 152.44/152.72 (define @t372 () (forall @t332 @t363)) % 152.44/152.72 (define @t373 () (and @t343 @t372 @t370 @t333 @t368)) % 152.44/152.72 (define @t374 () (forall @t332 @t364)) % 152.44/152.72 (define @t375 () (or @t352 @t374)) % 152.44/152.72 (define @t376 () (or @t249 @t247 @t183)) % 152.44/152.72 (define @t377 () (and @t242 (forall @t95 @t376) @t182 @t234 @t172)) % 152.44/152.72 (define @t378 () (or @t249 @t247)) % 152.44/152.72 (define @t379 () (not @t247)) % 152.44/152.72 (define @t380 () (not @t379)) % 152.44/152.72 (define @t381 () (and @t248 @t379)) % 152.44/152.72 (define @t382 () (not @t381)) % 152.44/152.72 (define @t383 () (>= @t93 @t173)) % 152.44/152.72 (define @t384 () (= @t383 @t247)) % 152.44/152.72 (define @t385 () (+ @t173 1)) % 152.44/152.72 (define @t386 () (>= 0 @t173)) % 152.44/152.72 (define @t387 () (>= @t93 @t198)) % 152.44/152.72 (define @t388 () (or true @t204)) % 152.44/152.72 (define @t389 () (and @t247 @t379)) % 152.44/152.72 (define @t390 () (and @t248 @t249)) % 152.44/152.72 (define @t391 () (or @t390 @t389)) % 152.44/152.72 (define @t392 () (- @t173 @t173)) % 152.44/152.72 (define @t393 () (forall @t264 (or @t262 @t261 @t258 @t253 (and @t234 (or @t253 (not (forall @t95 (or @t249 @t247 (= @t195 @t244)))) @t243))))) % 152.44/152.72 (define @t394 () (@quantifiers_skolemize @t393 0)) % 152.44/152.72 (define @t395 () (>= @t394 1)) % 152.44/152.72 (define @t396 () (>= @t394 0)) % 152.44/152.72 (define @t397 () (@quantifiers_skolemize @t393 3)) % 152.44/152.72 (define @t398 () (tptp.t2tb2 @t397)) % 152.44/152.72 (define @t399 () (tptp.mk_array1 @t147 @t394 @t398)) % 152.44/152.72 (define @t400 () (tptp.t2tb7 (@quantifiers_skolemize @t393 6))) % 152.44/152.72 (define @t401 () (@quantifiers_skolemize @t393 5)) % 152.44/152.72 (define @t402 () (tptp.good_data1 tptp.a @t401 @t400 @t238 @t399)) % 152.44/152.72 (define @t403 () (@quantifiers_skolemize @t393 4)) % 152.44/152.72 (define @t404 () (tptp.good_hash1 tptp.a @t399 @t403)) % 152.44/152.72 (define @t405 () (+ @t394 (* -1 @t403))) % 152.44/152.72 (define @t406 () (>= @t405 1)) % 152.44/152.72 (define @t407 () (not @t406)) % 152.44/152.72 (define @t408 () (>= @t403 0)) % 152.44/152.72 (define @t409 () (not @t408)) % 152.44/152.72 (define @t410 () (or @t409 @t407 @t404)) % 152.44/152.72 (define @t411 () (and @t395 @t410 @t402 @t396)) % 152.44/152.72 (define @t412 () (* -1 @t394)) % 152.44/152.72 (define @t413 () (>= (+ @t93 @t412) 0)) % 152.44/152.72 (define @t414 () (forall @t95 (or @t249 @t413 (= @t195 (tptp.tb2t6 (tptp.get @t147 tptp.int @t398 @t94)))))) % 152.44/152.72 (define @t415 () (not @t414)) % 152.44/152.72 (define @t416 () (not @t396)) % 152.44/152.72 (define @t417 () (or @t416 @t415 @t411)) % 152.44/152.72 (define @t418 () (and @t396 @t417)) % 152.44/152.72 (define @t419 () (tptp.mk_array1 @t147 @t394 (tptp.t2tb2 (@quantifiers_skolemize @t393 1)))) % 152.44/152.72 (define @t420 () (not @t395)) % 152.44/152.72 (define @t421 () (or @t420 (not (forall @t95 (or @t249 @t413 (tptp.good_hash1 tptp.a @t419 @t93)))) (not (forall @t181 (tptp.good_data1 tptp.a @t100 @t180 (tptp.t2tb3 (@quantifiers_skolemize @t393 2)) @t419))) @t416 @t418)) % 152.44/152.72 (define @t422 () (@list true)) % 152.44/152.72 (define @t423 () (@list @t421)) % 152.44/152.72 (define @t424 () (@list @t147 @t394 @t398)) % 152.44/152.72 (define @t425 () (@var "BOUND_VARIABLE_8664" tptp.key1)) % 152.44/152.72 (define @t426 () (>= (+ @t99 (* -1 (tptp.bucket1 @t425 @t99))) 1)) % 152.44/152.72 (define @t427 () (@var "BOUND_VARIABLE_8660" tptp.key1)) % 152.44/152.72 (define @t428 () (>= (tptp.bucket1 @t427 @t99) 0)) % 152.44/152.72 (define @t429 () (and @t428 @t426)) % 152.44/152.72 (define @t430 () (>= @t99 1)) % 152.44/152.72 (define @t431 () (not @t430)) % 152.44/152.72 (define @t432 () (or @t431 @t429)) % 152.44/152.72 (define @t433 () (@list @t427 @t425)) % 152.44/152.72 (define @t434 () (forall @t433 @t432)) % 152.44/152.72 (define @t435 () (forall (@list @t425) @t426)) % 152.44/152.72 (define @t436 () (@var "BOUND_VARIABLE_8647" tptp.key1)) % 152.44/152.72 (define @t437 () (@list @t436)) % 152.44/152.72 (define @t438 () (forall @t433 @t426)) % 152.44/152.72 (define @t439 () (forall (@list @t427) @t428)) % 152.44/152.72 (define @t440 () (@var "BOUND_VARIABLE_8641" tptp.key1)) % 152.44/152.72 (define @t441 () (@list @t440)) % 152.44/152.72 (define @t442 () (forall @t433 @t428)) % 152.44/152.72 (define @t443 () (and @t442 @t438)) % 152.44/152.72 (define @t444 () (forall @t433 @t429)) % 152.44/152.72 (define @t445 () (or @t431 @t444)) % 152.44/152.72 (define @t446 () (and (forall (@list @t440) (>= (tptp.bucket1 @t440 @t99) 0)) (forall (@list @t436) (>= (+ @t99 (* -1 (tptp.bucket1 @t436 @t99))) 1)))) % 152.44/152.72 (define @t447 () (+ @t99 (* -1 @t103))) % 152.44/152.72 (define @t448 () (>= @t447 1)) % 152.44/152.72 (define @t449 () (forall @t102 @t448)) % 152.44/152.72 (define @t450 () (@list @t100)) % 152.44/152.72 (define @t451 () (>= @t103 0)) % 152.44/152.72 (define @t452 () (forall @t102 @t451)) % 152.44/152.72 (define @t453 () (and @t452 @t449)) % 152.44/152.72 (define @t454 () (+ @t447 1)) % 152.44/152.72 (define @t455 () (>= @t103 @t99)) % 152.44/152.72 (define @t456 () (+ @t99 1)) % 152.44/152.72 (define @t457 () (>= 0 @t99)) % 152.44/152.72 (define @t458 () (tptp.length1 @t147 @t399)) % 152.44/152.72 (define @t459 () (tptp.get2 @t147 @t399 @t403)) % 152.44/152.72 (define @t460 () (forall @t133 (or (not (tptp.sort1 tptp.a @t43)) (not (tptp.mem @t146 (tptp.tuple21 tptp.key tptp.a @t119 @t43) @t459)) (= @t403 (tptp.bucket1 @t100 @t458))))) % 152.44/152.72 (define @t461 () (@quantifiers_skolemize @t460 0)) % 152.44/152.72 (define @t462 () (tptp.bucket1 @t401 @t458)) % 152.44/152.72 (define @t463 () (* -1 @t462)) % 152.44/152.72 (define @t464 () (+ @t458 @t463)) % 152.44/152.72 (define @t465 () (>= @t464 1)) % 152.44/152.72 (define @t466 () (tptp.bucket1 @t461 @t458)) % 152.44/152.72 (define @t467 () (and (>= @t466 0) @t465)) % 152.44/152.72 (define @t468 () (>= @t458 1)) % 152.44/152.72 (define @t469 () (not @t468)) % 152.44/152.72 (define @t470 () (or @t469 @t467)) % 152.44/152.72 (define @t471 () (>= @t462 0)) % 152.44/152.72 (define @t472 () (and @t471 (>= (+ @t458 (* -1 @t466)) 1))) % 152.44/152.72 (define @t473 () (or @t469 @t472)) % 152.44/152.72 (define @t474 () (+ @t394 @t463)) % 152.44/152.72 (define @t475 () (>= @t474 1)) % 152.44/152.72 (define @t476 () (not @t465)) % 152.44/152.72 (define @t477 () (= @t394 @t458)) % 152.44/152.72 (define @t478 () (not @t477)) % 152.44/152.72 (define @t479 () (not @t475)) % 152.44/152.72 (define @t480 () (+ -1 0 1)) % 152.44/152.72 (define @t481 () (* -1 0)) % 152.44/152.72 (define @t482 () (* -1 1)) % 152.44/152.72 (define @t483 () (+ @t482 @t481 1)) % 152.44/152.72 (define @t484 () (* -1 @t458)) % 152.44/152.72 (define @t485 () (* 0 @t394)) % 152.44/152.72 (define @t486 () (* 0 @t462)) % 152.44/152.72 (define @t487 () (+ @t486 @t458 @t484 @t485)) % 152.44/152.72 (define @t488 () (+ @t394 @t484)) % 152.44/152.72 (define @t489 () (+ (* -1 @t464) (* -1 @t488) @t474)) % 152.44/152.72 (define @t490 () (>= @t489 @t483)) % 152.44/152.72 (define @t491 () (= @t488 0)) % 152.44/152.72 (define @t492 () (= (* 1 (- @t488 0)) (* 1 (- @t394 @t458)))) % 152.44/152.72 (define @t493 () (= @t491 @t477)) % 152.44/152.72 (define @t494 () (< -1 0)) % 152.44/152.72 (define @t495 () (and @t479 @t477 @t465)) % 152.44/152.72 (define @t496 () (@var "BOUND_VARIABLE_8530" tptp.uni)) % 152.44/152.72 (define @t497 () (tptp.mem @t1 @t34 @t496)) % 152.44/152.72 (define @t498 () (@var "BOUND_VARIABLE_8528" tptp.uni)) % 152.44/152.72 (define @t499 () (or (= @t498 @t34) @t497)) % 152.44/152.72 (define @t500 () (tptp.mem @t1 @t34 (tptp.cons @t1 @t498 @t496))) % 152.44/152.72 (define @t501 () (= @t500 @t499)) % 152.44/152.72 (define @t502 () (not (tptp.sort1 @t1 @t498))) % 152.44/152.72 (define @t503 () (or @t502 @t501)) % 152.44/152.72 (define @t504 () (and @t61 @t503)) % 152.44/152.72 (define @t505 () (not @t63)) % 152.44/152.72 (define @t506 () (or @t505 @t504)) % 152.44/152.72 (define @t507 () (@list @t1 @t34 @t498 @t496)) % 152.44/152.72 (define @t508 () (forall @t507 @t506)) % 152.44/152.72 (define @t509 () (@list @t498 @t496)) % 152.44/152.72 (define @t510 () (forall @t509 @t506)) % 152.44/152.72 (define @t511 () (forall @t509 @t503)) % 152.44/152.72 (define @t512 () (forall @t509 @t61)) % 152.44/152.72 (define @t513 () (and @t512 @t511)) % 152.44/152.72 (define @t514 () (forall @t509 @t504)) % 152.44/152.72 (define @t515 () (or @t505 @t514)) % 152.44/152.72 (define @t516 () (= @t55 (or (= @t4 @t34) @t53))) % 152.44/152.72 (define @t517 () (and @t61 (forall @t59 (or (not @t57) @t516)))) % 152.44/152.72 (define @t518 () (tptp.t2tb1 @t401)) % 152.44/152.72 (define @t519 () (tptp.tuple21 tptp.key tptp.a @t518 @t400)) % 152.44/152.72 (define @t520 () (tptp.mem @t146 @t519 @t168)) % 152.44/152.72 (define @t521 () (or (= @t519 @t168) @t520)) % 152.44/152.72 (define @t522 () (tptp.cons @t146 @t168 @t168)) % 152.44/152.72 (define @t523 () (tptp.mem @t146 @t519 @t522)) % 152.44/152.72 (define @t524 () (= @t523 @t521)) % 152.44/152.72 (define @t525 () (not (tptp.sort1 @t146 @t168))) % 152.44/152.72 (define @t526 () (or @t525 @t524)) % 152.44/152.72 (define @t527 () (tptp.mem @t146 @t519 @t194)) % 152.44/152.72 (define @t528 () (not @t527)) % 152.44/152.72 (define @t529 () (and @t528 @t526)) % 152.44/152.72 (define @t530 () (tptp.sort1 @t146 @t519)) % 152.44/152.72 (define @t531 () (not @t530)) % 152.44/152.72 (define @t532 () (or @t531 @t529)) % 152.44/152.72 (define @t533 () (forall @t507 (or @t505 (and @t61 (or @t502 (= @t500 (or (= @t34 @t498) @t497))))))) % 152.44/152.72 (define @t534 () (and @t528 (or @t525 (= @t523 (or (= @t168 @t519) @t520))))) % 152.44/152.72 (define @t535 () (or @t531 @t534)) % 152.44/152.72 (define @t536 () (@list false)) % 152.44/152.72 (define @t537 () (@list @t533)) % 152.44/152.72 (define @t538 () (@list false false)) % 152.44/152.72 (define @t539 () (tptp.t2tb @t462)) % 152.44/152.72 (define @t540 () (tptp.get @t147 tptp.int @t398 @t539)) % 152.44/152.72 (define @t541 () (not @t417)) % 152.44/152.72 (define @t542 () (@list @t417)) % 152.44/152.72 (define @t543 () (tptp.t2tb @t403)) % 152.44/152.72 (define @t544 () (tptp.get @t147 tptp.int @t398 @t543)) % 152.44/152.72 (define @t545 () (tptp.tb2t6 @t544)) % 152.44/152.72 (define @t546 () (= @t195 @t545)) % 152.44/152.72 (define @t547 () (+ @t412 @t403)) % 152.44/152.72 (define @t548 () (+ @t405 1)) % 152.44/152.72 (define @t549 () (+ @t403 @t412)) % 152.44/152.72 (define @t550 () (>= @t549 0)) % 152.44/152.72 (define @t551 () (or @t409 @t550 @t546)) % 152.44/152.72 (define @t552 () (or @t409 @t407 @t546)) % 152.44/152.72 (define @t553 () (@list @t414)) % 152.44/152.72 (define @t554 () (@var "BOUND_VARIABLE_8756" Int)) % 152.44/152.72 (define @t555 () (@var "BOUND_VARIABLE_8754" tptp.uni)) % 152.44/152.72 (define @t556 () (@var "BOUND_VARIABLE_8752" tptp.ty)) % 152.44/152.72 (define @t557 () (tptp.tuple2 tptp.key @t556)) % 152.44/152.72 (define @t558 () (tptp.list @t557)) % 152.44/152.72 (define @t559 () (forall (@list @t556 @t555 @t554) (or (not (forall @t133 (or (not (tptp.sort1 @t556 @t43)) (not (tptp.mem @t557 (tptp.tuple21 tptp.key @t556 @t119 @t43) (tptp.get2 @t558 @t555 @t554))) (= @t554 (tptp.bucket1 @t100 (tptp.length1 @t558 @t555)))))) (tptp.good_hash1 @t556 @t555 @t554)))) % 152.44/152.72 (define @t560 () (@var "BOUND_VARIABLE_8732" tptp.uni)) % 152.44/152.72 (define @t561 () (@var "BOUND_VARIABLE_8730" tptp.ty)) % 152.44/152.72 (define @t562 () (tptp.tuple2 tptp.key @t561)) % 152.44/152.72 (define @t563 () (tptp.list @t562)) % 152.44/152.72 (define @t564 () (tptp.length1 @t563 @t560)) % 152.44/152.72 (define @t565 () (@var "BOUND_VARIABLE_8777" tptp.key1)) % 152.44/152.72 (define @t566 () (@var "BOUND_VARIABLE_8734" Int)) % 152.44/152.72 (define @t567 () (= @t566 (tptp.bucket1 @t565 @t564))) % 152.44/152.72 (define @t568 () (tptp.get2 @t563 @t560 @t566)) % 152.44/152.72 (define @t569 () (@var "BOUND_VARIABLE_8779" tptp.uni)) % 152.44/152.72 (define @t570 () (not (tptp.mem @t562 (tptp.tuple21 tptp.key @t561 (tptp.t2tb1 @t565) @t569) @t568))) % 152.44/152.72 (define @t571 () (not (tptp.good_hash1 @t561 @t560 @t566))) % 152.44/152.72 (define @t572 () (or @t570 @t567)) % 152.44/152.72 (define @t573 () (or @t571 @t572)) % 152.44/152.72 (define @t574 () (forall (@list @t561 @t560 @t566 @t565 @t569) @t573)) % 152.44/152.72 (define @t575 () (@list @t565 @t569)) % 152.44/152.72 (define @t576 () (forall @t575 @t573)) % 152.44/152.72 (define @t577 () (@list @t561 @t560 @t566)) % 152.44/152.72 (define @t578 () (forall @t575 @t572)) % 152.44/152.72 (define @t579 () (or @t571 @t578)) % 152.44/152.72 (define @t580 () (forall @t577 (or @t571 (forall @t133 (or (not (tptp.mem @t562 (tptp.tuple21 tptp.key @t561 @t119 @t43) @t568)) (= @t566 (tptp.bucket1 @t100 @t564))))))) % 152.44/152.72 (define @t581 () (= @t93 @t118)) % 152.44/152.72 (define @t582 () (not @t129)) % 152.44/152.72 (define @t583 () (not @t131)) % 152.44/152.72 (define @t584 () (or @t583 @t582 @t581)) % 152.44/152.72 (define @t585 () (forall @t133 @t584)) % 152.44/152.72 (define @t586 () (or (not @t585) @t127)) % 152.44/152.72 (define @t587 () (forall @t139 @t586)) % 152.44/152.72 (define @t588 () (@list @t1 @t115 @t93)) % 152.44/152.72 (define @t589 () (or @t582 @t581)) % 152.44/152.72 (define @t590 () (forall @t133 @t589)) % 152.44/152.72 (define @t591 () (or (not @t127) @t590)) % 152.44/152.72 (define @t592 () (forall @t139 @t591)) % 152.44/152.72 (define @t593 () (and @t592 @t587)) % 152.44/152.72 (define @t594 () (and (=> @t127 @t590) (=> @t585 @t127))) % 152.44/152.72 (define @t595 () (=> @t129 @t581)) % 152.44/152.72 (define @t596 () (not @t460)) % 152.44/152.72 (define @t597 () (or @t596 @t404)) % 152.44/152.72 (define @t598 () (@quantifiers_skolemize @t460 1)) % 152.44/152.72 (define @t599 () (tptp.t2tb1 @t461)) % 152.44/152.72 (define @t600 () (tptp.tuple21 tptp.key tptp.a @t599 @t598)) % 152.44/152.72 (define @t601 () (tptp.mem @t146 @t600 @t459)) % 152.44/152.72 (define @t602 () (not @t601)) % 152.44/152.72 (define @t603 () (or (not (tptp.sort1 tptp.a @t598)) @t602 (= @t403 @t466))) % 152.44/152.72 (define @t604 () (not @t603)) % 152.44/152.72 (define @t605 () (= @t49 @t88)) % 152.44/152.72 (define @t606 () (tptp.elts @t147 @t399)) % 152.44/152.72 (define @t607 () (= @t398 @t606)) % 152.44/152.72 (define @t608 () (tptp.sort1 @t148 @t398)) % 152.44/152.72 (define @t609 () (not @t608)) % 152.44/152.72 (define @t610 () (or @t609 @t607)) % 152.44/152.72 (define @t611 () (tptp.mem @t146 @t600 @t168)) % 152.44/152.72 (define @t612 () (or (= @t600 @t168) @t611)) % 152.44/152.72 (define @t613 () (tptp.mem @t146 @t600 @t522)) % 152.44/152.72 (define @t614 () (= @t613 @t612)) % 152.44/152.72 (define @t615 () (or @t525 @t614)) % 152.44/152.72 (define @t616 () (tptp.mem @t146 @t600 @t194)) % 152.44/152.72 (define @t617 () (not @t616)) % 152.44/152.72 (define @t618 () (and @t617 @t615)) % 152.44/152.72 (define @t619 () (tptp.sort1 @t146 @t600)) % 152.44/152.72 (define @t620 () (not @t619)) % 152.44/152.72 (define @t621 () (or @t620 @t618)) % 152.44/152.72 (define @t622 () (and @t617 (or @t525 (= @t613 (or (= @t168 @t600) @t611))))) % 152.44/152.72 (define @t623 () (or @t620 @t622)) % 152.44/152.72 (define @t624 () (tptp.t2tb6 @t545)) % 152.44/152.72 (define @t625 () (= @t544 @t624)) % 152.44/152.72 (define @t626 () (not @t625)) % 152.44/152.72 (define @t627 () (not @t546)) % 152.44/152.72 (define @t628 () (tptp.get @t147 tptp.int @t606 @t543)) % 152.44/152.72 (define @t629 () (= @t459 @t628)) % 152.44/152.72 (define @t630 () (not @t629)) % 152.44/152.72 (define @t631 () (= @t194 (tptp.t2tb6 @t195))) % 152.44/152.72 (define @t632 () (not @t631)) % 152.44/152.72 (define @t633 () (not @t607)) % 152.44/152.72 (define @t634 () (and @t607 @t631 @t629 @t617 @t546 @t625)) % 152.44/152.72 (define @t635 () (not @t402)) % 152.44/152.72 (define @t636 () (tptp.some tptp.a @t400)) % 152.44/152.72 (define @t637 () (= @t636 (tptp.get @t151 tptp.key @t238 @t518))) % 152.44/152.72 (define @t638 () (tptp.in_data1 tptp.a @t401 @t400 @t399)) % 152.44/152.72 (define @t639 () (= @t638 @t637)) % 152.44/152.72 (define @t640 () (= @t402 @t639)) % 152.44/152.72 (define @t641 () (not @t639)) % 152.44/152.72 (define @t642 () (= @t68 @t75)) % 152.44/152.72 (define @t643 () (tptp.get @t151 tptp.key @t169 @t518)) % 152.44/152.72 (define @t644 () (= @t168 @t643)) % 152.44/152.72 (define @t645 () (tptp.sort1 @t151 @t168)) % 152.44/152.72 (define @t646 () (not @t645)) % 152.44/152.72 (define @t647 () (or @t646 @t644)) % 152.44/152.72 (define @t648 () (= @t96 @t154)) % 152.44/152.72 (define @t649 () (= @t169 @t238)) % 152.44/152.72 (define @t650 () (tptp.sort1 @t152 @t169)) % 152.44/152.72 (define @t651 () (not @t650)) % 152.44/152.72 (define @t652 () (or @t651 @t649)) % 152.44/152.72 (define @t653 () (= @t168 @t636)) % 152.44/152.72 (define @t654 () (and @t649 @t637 @t644)) % 152.44/152.72 (define @t655 () (tptp.get2 @t147 @t399 @t462)) % 152.44/152.72 (define @t656 () (tptp.mem @t146 @t519 @t655)) % 152.44/152.72 (define @t657 () (= @t638 @t656)) % 152.44/152.72 (define @t658 () (tptp.tb2t6 @t540)) % 152.44/152.72 (define @t659 () (tptp.t2tb6 @t658)) % 152.44/152.72 (define @t660 () (= @t540 @t659)) % 152.44/152.72 (define @t661 () (not @t660)) % 152.44/152.72 (define @t662 () (= @t195 @t658)) % 152.44/152.72 (define @t663 () (not @t662)) % 152.44/152.72 (define @t664 () (tptp.get @t147 tptp.int @t606 @t539)) % 152.44/152.72 (define @t665 () (= @t655 @t664)) % 152.44/152.72 (define @t666 () (not @t665)) % 152.44/152.72 (define @t667 () (not @t656)) % 152.44/152.72 (define @t668 () (and @t528 @t631 @t662 @t660 @t607 @t665 @t656)) % 152.44/152.72 (define @t669 () (+ @t412 @t462)) % 152.44/152.72 (define @t670 () (+ @t474 1)) % 152.44/152.72 (define @t671 () (+ @t462 @t412)) % 152.44/152.72 (define @t672 () (>= @t671 0)) % 152.44/152.72 (define @t673 () (not @t471)) % 152.44/152.72 (define @t674 () (or @t673 @t672 @t662)) % 152.44/152.72 (define @t675 () (or @t673 @t479 @t662)) % 152.44/152.72 (define @t676 () (+ @t482 0 1)) % 152.44/152.72 (define @t677 () (+ @t484 @t458 @t412 @t394)) % 152.44/152.72 (define @t678 () (+ @t412 @t488 @t458)) % 152.44/152.72 (define @t679 () (>= @t678 @t676)) % 152.44/152.72 (define @t680 () (and @t469 @t477 @t395)) % 152.44/152.72 (assume @p1 (forall @t2 (tptp.sort1 @t1 (tptp.witness1 @t1)))) % 152.44/152.72 (assume @p2 (forall (@list @t1 @t5 @t4 @t3) (tptp.sort1 @t1 (tptp.match_bool1 @t1 @t5 @t4 @t3)))) % 152.44/152.72 (assume @p3 (forall @t8 (=> (tptp.sort1 @t1 @t6) (= (tptp.match_bool1 @t1 tptp.true1 @t6 @t7) @t6)))) % 152.44/152.72 (assume @p4 (forall @t8 (=> (tptp.sort1 @t1 @t7) (= (tptp.match_bool1 @t1 tptp.false1 @t6 @t7) @t7)))) % 152.44/152.72 (assume @p5 (not (= tptp.true1 tptp.false1))) % 152.44/152.72 (assume @p6 (forall (@list @t9) (or (= @t9 tptp.true1) (= @t9 tptp.false1)))) % 152.44/152.72 (assume @p7 (forall (@list @t10) (= @t10 tptp.tuple03))) % 152.44/152.72 (assume @p8 (forall @t16 (=> @t15 (=> @t14 (<= (* @t13 @t11) (* @t12 @t11)))))) % 152.44/152.72 (assume @p9 (forall @t19 (and (=> @t18 (= @t17 @t13)) (=> (not @t18) (= @t17 (- @t13)))))) % 152.44/152.72 (assume @p10 (forall @t20 (= (<= @t17 @t12) (and (<= (- @t12) @t13) @t15)))) % 152.44/152.72 (assume @p11 (forall @t19 (<= 0 @t17))) % 152.44/152.72 (assume @p12 (forall @t20 (=> @t23 (= @t13 (+ (* @t12 @t22) @t21))))) % 152.44/152.72 (assume @p13 (forall @t20 (=> @t26 (and @t24 (<= @t22 @t13))))) % 152.44/152.72 (assume @p14 (forall @t20 (=> @t23 (and (< (- @t27) @t21) (< @t21 @t27))))) % 152.44/152.72 (assume @p15 (forall @t20 (=> @t26 @t24))) % 152.44/152.72 (assume @p16 (forall @t20 (=> (and @t28 @t25) (<= @t22 0)))) % 152.44/152.72 (assume @p17 (forall @t20 (=> (and @t18 @t23) (<= 0 @t21)))) % 152.44/152.72 (assume @p18 (forall @t20 (=> (and @t28 @t23) (<= @t21 0)))) % 152.44/152.72 (assume @p19 (forall @t20 (=> @t23 (<= (tptp.abs1 (* @t22 @t12)) @t17)))) % 152.44/152.72 (assume @p20 (forall @t19 (= (tptp.div1 @t13 1) @t13))) % 152.44/152.72 (assume @p21 (forall @t19 (= (tptp.mod1 @t13 1) 0))) % 152.44/152.72 (assume @p22 (forall @t20 (=> @t29 (= @t22 0)))) % 152.44/152.72 (assume @p23 (forall @t20 (=> @t29 (= @t21 @t13)))) % 152.44/152.72 (assume @p24 (forall @t16 (=> @t31 (= (tptp.div1 @t30 @t13) (+ @t12 (tptp.div1 @t11 @t13)))))) % 152.44/152.72 (assume @p25 (forall @t16 (=> @t31 (= (tptp.mod1 @t30 @t13) (tptp.mod1 @t11 @t13))))) % 152.44/152.72 (assume @p26 (forall @t2 (tptp.sort1 @t33 @t32))) % 152.44/152.72 (assume @p27 (forall @t35 (tptp.sort1 @t33 (tptp.some @t1 @t34)))) % 152.44/152.72 (assume @p28 (forall @t37 (tptp.sort1 @t36 (tptp.match_option1 @t36 @t1 @t34 @t4 @t3)))) % 152.44/152.72 (assume @p29 (forall @t39 (=> @t38 (= (tptp.match_option1 @t36 @t1 @t32 @t6 @t7) @t6)))) % 152.44/152.72 (assume @p30 (forall (@list @t1 @t36 @t6 @t7 @t40) (=> @t42 (= (tptp.match_option1 @t36 @t1 @t41 @t6 @t7) @t7)))) % 152.44/152.72 (assume @p31 (forall (@list @t1 @t43) (not (= @t32 @t44)))) % 152.44/152.72 (assume @p32 (forall @t35 (tptp.sort1 @t1 (tptp.some_proj_11 @t1 @t34)))) % 152.44/152.72 (assume @p33 (forall @t46 (=> @t45 (= (tptp.some_proj_11 @t1 @t41) @t40)))) % 152.44/152.72 (assume @p34 (forall @t46 (=> (tptp.sort1 @t33 @t40) (or (= @t40 @t32) (= @t40 (tptp.some @t1 (tptp.some_proj_11 @t1 @t40))))))) % 152.44/152.72 (assume @p35 (forall @t2 (tptp.sort1 @t48 @t47))) % 152.44/152.72 (assume @p36 (forall (@list @t1 @t34 @t4) (tptp.sort1 @t48 (tptp.cons @t1 @t34 @t4)))) % 152.44/152.72 (assume @p37 (forall @t37 (tptp.sort1 @t36 (tptp.match_list1 @t36 @t1 @t34 @t4 @t3)))) % 152.44/152.72 (assume @p38 (forall @t39 (=> @t38 (= (tptp.match_list1 @t36 @t1 @t47 @t6 @t7) @t6)))) % 152.44/152.72 (assume @p39 (forall (@list @t1 @t36 @t6 @t7 @t40 @t49) (=> @t42 (= (tptp.match_list1 @t36 @t1 @t50 @t6 @t7) @t7)))) % 152.44/152.72 (assume @p40 (forall (@list @t1 @t43 @t51) (not (= @t47 (tptp.cons @t1 @t43 @t51))))) % 152.44/152.72 (assume @p41 (forall @t35 (tptp.sort1 @t1 (tptp.cons_proj_11 @t1 @t34)))) % 152.44/152.72 (assume @p42 (forall @t52 (=> @t45 (= (tptp.cons_proj_11 @t1 @t50) @t40)))) % 152.44/152.72 (assume @p43 (forall @t35 (tptp.sort1 @t48 (tptp.cons_proj_21 @t1 @t34)))) % 152.44/152.72 (assume @p44 (forall @t52 (= (tptp.cons_proj_21 @t1 @t50) @t49))) % 152.44/152.72 (assume @p45 (forall @t46 (or (= @t40 @t47) (= @t40 (tptp.cons @t1 (tptp.cons_proj_11 @t1 @t40) (tptp.cons_proj_21 @t1 @t40)))))) % 152.44/152.72 (assume @p46 @t65) % 152.44/152.72 (assume @p47 (forall (@list @t1 @t66 @t34 @t4) (tptp.sort1 @t66 (tptp.get @t66 @t1 @t34 @t4)))) % 152.44/152.72 (assume @p48 (forall (@list @t1 @t66 @t34 @t4 @t3) (tptp.sort1 @t67 (tptp.set @t66 @t1 @t34 @t4 @t3)))) % 152.44/152.72 (assume @p49 (forall (@list @t1 @t66 @t71 @t70 @t69 @t68) (=> @t74 (=> @t73 (= @t72 @t68))))) % 152.44/152.72 (assume @p50 (forall (@list @t1 @t66 @t71 @t70 @t69) (=> (tptp.sort1 @t1 @t70) (=> (tptp.sort1 @t1 @t69) (forall (@list @t68) (=> (not @t73) (= @t72 (tptp.get @t66 @t1 @t71 @t69)))))))) % 152.44/152.72 (assume @p51 (forall (@list @t1 @t66 @t34) (tptp.sort1 @t67 (tptp.const @t66 @t1 @t34)))) % 152.44/152.72 (assume @p52 @t78) % 152.44/152.72 (assume @p53 (forall @t80 (tptp.sort1 @t79 (tptp.mk_array1 @t1 @t13 @t4)))) % 152.44/152.72 (assume @p54 @t86) % 152.44/152.72 (assume @p55 (forall @t35 (tptp.sort1 @t87 (tptp.elts @t1 @t34)))) % 152.44/152.72 (assume @p56 @t91) % 152.44/152.72 (assume @p57 (forall @t46 (= @t40 (tptp.mk_array1 @t1 (tptp.length1 @t1 @t40) (tptp.elts @t1 @t40))))) % 152.44/152.72 (assume @p58 (forall (@list @t1 @t34 @t92) (tptp.sort1 @t1 (tptp.get2 @t1 @t34 @t92)))) % 152.44/152.72 (assume @p59 (forall @t19 (tptp.sort1 tptp.int (tptp.t2tb @t13)))) % 152.44/152.72 (assume @p60 (forall @t95 (= (tptp.tb2t @t94) @t93))) % 152.44/152.72 (assume @p61 (forall @t97 (= (tptp.t2tb (tptp.tb2t @t96)) @t96))) % 152.44/152.72 (assume @p62 (forall (@list @t1 @t70 @t93) (= (tptp.get2 @t1 @t70 @t93) (tptp.get @t1 tptp.int @t98 @t94)))) % 152.44/152.72 (assume @p63 (forall (@list @t1 @t34 @t92 @t3) (tptp.sort1 @t79 (tptp.set2 @t1 @t34 @t92 @t3)))) % 152.44/152.72 (assume @p64 (forall (@list @t1 @t70 @t93 @t43) (= (tptp.set2 @t1 @t70 @t93 @t43) (tptp.mk_array1 @t1 (tptp.length1 @t1 @t70) (tptp.set @t1 tptp.int @t98 @t94 @t43))))) % 152.44/152.72 (assume @p65 (forall @t80 (tptp.sort1 @t79 (tptp.make1 @t1 @t13 @t4)))) % 152.44/152.72 (assume @p66 (forall (@list @t1 @t99 @t43) (= (tptp.make1 @t1 @t99 @t43) (tptp.mk_array1 @t1 @t99 (tptp.const @t1 tptp.int @t43))))) % 152.44/152.72 (assume @p67 (forall @t102 (<= 0 @t101))) % 152.44/152.72 (assume @p68 (forall (@list @t100 @t99) (= @t103 (tptp.mod1 @t101 @t99)))) % 152.44/152.72 (assume @p69 @t108) % 152.44/152.72 (assume @p70 (forall (@list @t1 @t36 @t34 @t4) (tptp.sort1 @t109 (tptp.tuple21 @t36 @t1 @t34 @t4)))) % 152.44/152.72 (assume @p71 (forall @t110 (tptp.sort1 @t36 (tptp.tuple2_proj_11 @t36 @t1 @t34)))) % 152.44/152.72 (assume @p72 (forall @t112 (=> (tptp.sort1 @t36 @t40) (= (tptp.tuple2_proj_11 @t36 @t1 @t111) @t40)))) % 152.44/152.72 (assume @p73 (forall @t110 (tptp.sort1 @t1 (tptp.tuple2_proj_21 @t36 @t1 @t34)))) % 152.44/152.72 (assume @p74 (forall @t112 (=> (tptp.sort1 @t1 @t49) (= (tptp.tuple2_proj_21 @t36 @t1 @t111) @t49)))) % 152.44/152.72 (assume @p75 (forall (@list @t1 @t36 @t40) (=> (tptp.sort1 @t109 @t40) (= @t40 (tptp.tuple21 @t36 @t1 (tptp.tuple2_proj_11 @t36 @t1 @t40) (tptp.tuple2_proj_21 @t36 @t1 @t40)))))) % 152.44/152.72 (assume @p76 (forall (@list @t113) (tptp.sort1 tptp.key (tptp.t2tb1 @t113)))) % 152.44/152.72 (assume @p77 (forall (@list @t114) (= (tptp.tb2t1 (tptp.t2tb1 @t114)) @t114))) % 152.44/152.72 (assume @p78 (forall @t97 (=> (tptp.sort1 tptp.key @t96) (= (tptp.t2tb1 (tptp.tb2t1 @t96)) @t96)))) % 152.44/152.72 (assume @p79 (forall (@list @t1 @t100 @t43 @t115) (= @t121 (tptp.mem @t116 @t120 (tptp.get2 @t117 @t115 @t118))))) % 152.44/152.72 (assume @p80 @t126) % 152.44/152.72 (assume @p81 @t140) % 152.44/152.72 (assume @p82 (forall (@list @t1 @t13 @t4 @t3) (tptp.sort1 (tptp.t @t1) (tptp.mk_t1 @t1 @t13 @t4 @t3)))) % 152.44/152.72 (assume @p83 (forall @t143 (= (tptp.size1 @t1 @t142) @t81))) % 152.44/152.72 (assume @p84 (forall @t35 (tptp.sort1 (tptp.array @t117) (tptp.data @t1 @t34)))) % 152.44/152.72 (assume @p85 (forall @t143 (= (tptp.data @t1 @t142) @t49))) % 152.44/152.72 (assume @p86 (forall @t35 (tptp.sort1 @t144 (tptp.view @t1 @t34)))) % 152.44/152.72 (assume @p87 (forall @t143 (=> (tptp.sort1 @t144 @t141) (= (tptp.view @t1 @t142) @t141)))) % 152.44/152.72 (assume @p88 (forall @t46 (= @t40 (tptp.mk_t1 @t1 (tptp.size1 @t1 @t40) (tptp.data @t1 @t40) (tptp.view @t1 @t40))))) % 152.44/152.72 (assume @p89 (forall (@list @t145) (tptp.sort1 @t148 (tptp.t2tb2 @t145)))) % 152.44/152.72 (assume @p90 (forall (@list @t149) (= (tptp.tb2t2 (tptp.t2tb2 @t149)) @t149))) % 152.44/152.72 (assume @p91 (forall @t97 (= (tptp.t2tb2 (tptp.tb2t2 @t96)) @t96))) % 152.44/152.72 (assume @p92 (forall (@list @t150) (tptp.sort1 @t152 (tptp.t2tb3 @t150)))) % 152.44/152.72 (assume @p93 (forall (@list @t153) (= (tptp.tb2t3 (tptp.t2tb3 @t153)) @t153))) % 152.44/152.72 (assume @p94 @t157) % 152.44/152.72 (assume @p95 (forall (@list @t158) (tptp.sort1 @t151 (tptp.t2tb4 @t158)))) % 152.44/152.72 (assume @p96 (forall (@list @t159) (= (tptp.tb2t4 (tptp.t2tb4 @t159)) @t159))) % 152.44/152.72 (assume @p97 (forall @t97 (=> (tptp.sort1 @t151 @t96) (= (tptp.t2tb4 (tptp.tb2t4 @t96)) @t96)))) % 152.44/152.72 (assume @p98 (forall (@list @t160) (tptp.sort1 (tptp.array @t147) (tptp.t2tb5 @t160)))) % 152.44/152.72 (assume @p99 (forall (@list @t161) (= (tptp.tb2t5 (tptp.t2tb5 @t161)) @t161))) % 152.44/152.72 (assume @p100 (forall @t97 (= (tptp.t2tb5 (tptp.tb2t5 @t96)) @t96))) % 152.44/152.72 (assume @p101 (forall (@list @t162) (tptp.sort1 @t147 (tptp.t2tb6 @t162)))) % 152.44/152.72 (assume @p102 (forall (@list @t163) (= (tptp.tb2t6 (tptp.t2tb6 @t163)) @t163))) % 152.44/152.72 (assume @p103 @t165) % 152.44/152.72 (assume @p104 (forall (@list @t166) (tptp.sort1 tptp.a (tptp.t2tb7 @t166)))) % 152.44/152.72 (assume @p105 (forall (@list @t167) (= (tptp.tb2t7 (tptp.t2tb7 @t167)) @t167))) % 152.44/152.72 (assume @p106 (forall @t97 (=> (tptp.sort1 tptp.a @t96) (= (tptp.t2tb7 (tptp.tb2t7 @t96)) @t96)))) % 152.44/152.72 (assume @p107 @t233) % 152.44/152.72 (assume @p108 true) % 152.44/152.72 (step @p109 :rule refl :args (@t243)) % 152.44/152.72 (step @p110 :rule eq-symm :args (@t244 @t195)) % 152.44/152.72 (step @p111 :rule refl :args (@t247)) % 152.44/152.72 (step @p112 :rule refl :args (@t249)) % 152.44/152.72 (step @p113 :rule nary_cong :premises (@p112 @p111 @p110) :args (@t250)) % 152.44/152.72 (step @p114 :rule cong :premises (@p113) :args (@t251)) % 152.44/152.72 (step @p115 :rule cong :premises (@p114) :args (@t252)) % 152.44/152.72 (step @p116 :rule refl :args (@t253)) % 152.44/152.72 (step @p117 :rule nary_cong :premises (@p116 @p115 @p109) :args (@t254)) % 152.44/152.72 (step @p118 :rule aci_norm :args ((= @t256 @t254))) % 152.44/152.72 (step @p119 :rule trans :premises (@p118 @p117)) % 152.44/152.72 (step @p120 :rule refl :args (@t234)) % 152.44/152.72 (step @p121 :rule nary_cong :premises (@p120 @p119) :args (@t257)) % 152.44/152.72 (step @p122 :rule refl :args (@t258)) % 152.44/152.72 (step @p123 :rule refl :args (@t261)) % 152.44/152.72 (step @p124 :rule refl :args (@t262)) % 152.44/152.72 (step @p125 :rule nary_cong :premises (@p124 @p123 @p122 @p116 @p121) :args (@t263)) % 152.44/152.72 (step @p126 :rule cong :premises (@p125) :args (@t265)) % 152.44/152.72 (step @p127 :rule quant-merge-prenex :args ((= (forall @t231 @t267) @t265))) % 152.44/152.72 (step @p128 :rule alpha_equiv :args (@t268 (@list @t235 @t241 @t240 @t239) (@list @t175 @t271 @t270 @t269))) % 152.44/152.72 (step @p129 :rule refl :args (@t253)) % 152.44/152.72 (step @p130 :rule nary_cong :premises (@p129 @p128) :args (@t272)) % 152.44/152.72 (step @p131 :rule quant-miniscope-or :args ((= @t273 @t272))) % 152.44/152.72 (step @p132 :rule trans :premises (@p131 @p130)) % 152.44/152.72 (step @p133 :rule quant-unused-vars :args ((= @t274 @t234))) % 152.44/152.72 (step @p134 :rule nary_cong :premises (@p133 @p132) :args (@t275)) % 152.44/152.72 (step @p135 :rule quant-miniscope-and :args ((= @t276 @t275))) % 152.44/152.72 (step @p136 :rule trans :premises (@p135 @p134)) % 152.44/152.72 (step @p137 :rule refl :args (@t258)) % 152.44/152.72 (step @p138 :rule refl :args (@t261)) % 152.44/152.72 (step @p139 :rule refl :args (@t262)) % 152.44/152.72 (step @p140 :rule nary_cong :premises (@p139 @p138 @p137 @p129 @p136) :args (@t277)) % 152.44/152.72 (step @p141 :rule quant-miniscope-or :args ((= @t267 @t277))) % 152.44/152.72 (step @p142 :rule trans :premises (@p141 @p140)) % 152.44/152.72 (step @p143 :rule symm :premises (@p142)) % 152.44/152.72 (step @p144 :rule cong :premises (@p143) :args ((forall @t231 @t288))) % 152.44/152.72 (step @p145 :rule trans :premises (@p144 @p127)) % 152.44/152.72 (step @p146 :rule trans :premises (@p145 @p126)) % 152.44/152.72 (step @p147 :rule aci_norm :args ((= (or @t289 @t287) @t288))) % 152.44/152.72 (step @p148 :rule refl :args (@t287)) % 152.44/152.72 (step @p149 :rule aci_norm :args ((= (or @t262 (or @t261 (or @t258 @t253))) @t289))) % 152.44/152.72 (step @p150 :rule bool-and-de-morgan :args (@t225 @t234 true)) % 152.44/152.72 (step @p151 :rule nary_cong :premises (@p138 @p150) :args ((or @t261 (not (and @t225 @t234))))) % 152.44/152.72 (step @p152 :rule 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nary_cong :premises (@p1036 @p515 @p1035) :args ((or @t420 @t478 (not @t469)))) % 152.44/152.73 (assume-push @p1173 @t469) % 152.44/152.73 (assume-push @p1174 @t477) % 152.44/152.73 (assume-push @p1175 @t395) % 152.44/152.73 (step @p1041 :rule arith-elim-lt :args (@t394 1)) % 152.44/152.73 (step @p1042 :rule symm :premises (@p1041)) % 152.44/152.73 (assume-push @p1176 @t395) % 152.44/152.73 (step @p523 :rule evaluate :args (@t480)) % 152.44/152.73 (step @p524 :rule refl :args (1)) % 152.44/152.73 (step @p526 :rule evaluate :args (@t482)) % 152.44/152.73 (step @p1044 :rule nary_cong :premises (@p526 @p263 @p524) :args (@t676)) % 152.44/152.73 (step @p1045 :rule trans :premises (@p1044 @p523)) % 152.44/152.73 (step @p1046 :rule arith_poly_norm :args ((= @t677 0))) % 152.44/152.73 (step @p1047 :rule arith_poly_norm :args ((= @t678 @t677))) % 152.44/152.73 (step @p1048 :rule trans :premises (@p1047 @p1046)) % 152.44/152.73 (step @p1049 :rule cong :premises (@p1048 @p1045) :args (@t679)) % 152.44/152.73 (step @p1050 :rule trans :premises (@p1049 @p400)) % 152.44/152.73 (step @p1051 :rule cong :premises (@p1050) :args ((not @t679))) % 152.44/152.73 (step @p1052 :rule trans :premises (@p1051 @p165)) % 152.44/152.73 (step @p1053 :rule arith-elim-lt :args (@t678 @t676)) % 152.44/152.73 (step @p1054 :rule trans :premises (@p1053 @p1052)) % 152.44/152.73 (step @p1055 :rule arith-elim-lt :args (@t458 1)) % 152.44/152.73 (step @p1056 :rule symm :premises (@p1055)) % 152.44/152.73 (step @p1057 :rule eq_resolve :premises (@p1173 @p1056)) % 152.44/152.73 (step @p548 :rule arith_poly_norm :args (@t492)) % 152.44/152.73 (step @p549 :rule arith_poly_norm_rel :premises (@p548) :args (@t493)) % 152.44/152.73 (step @p550 :rule symm :premises (@p549)) % 152.44/152.73 (step @p551 :rule eq_resolve :premises (@p449 @p550)) % 152.44/152.73 (step @p1058 :rule arith_mult_neg :args (-1 @t395)) % 152.44/152.73 (step @p552 :rule evaluate :args (@t494)) % 152.44/152.73 (step @p553 :rule true_elim :premises (@p552)) % 152.44/152.73 (step @p1059 :rule and_intro :premises (@p553 @p444)) % 152.44/152.73 (step @p1060 :rule modus_ponens :premises (@p1059 @p1058)) % 152.44/152.73 (step @p1061 :rule arith_sum_ub :premises (@p1060 @p551 @p1057)) % 152.44/152.73 (step @p1062 false :rule eq_resolve :premises (@p1061 @p1054)) % 152.44/152.73 (step-pop @p1177 :rule scope :premises (@p1062)) % 152.44/152.73 (step @p1063 :rule process_scope :premises (@p1177) :args (false)) % 152.44/152.73 (step @p1065 :rule eq_resolve :premises (@p1063 @p1042)) % 152.44/152.73 (step @p1066 :rule eq_resolve :premises (@p1065 @p1041)) % 152.44/152.73 (step @p1067 false :rule contra :premises (@p444 @p1066)) % 152.44/152.73 (step-pop @p1178 :rule scope :premises (@p1067)) % 152.44/152.73 (step-pop @p1179 :rule scope :premises (@p1178)) % 152.44/152.73 (step-pop @p1180 :rule scope :premises (@p1179)) % 152.44/152.73 (step @p1068 :rule process_scope :premises (@p1180) :args (false)) % 152.44/152.73 (assume-push @p1181 @t395) % 152.44/152.73 (assume-push @p1182 @t477) % 152.44/152.73 (assume-push @p1183 @t469) % 152.44/152.73 (step @p1075 :rule and_intro :premises (@p1183 @p449 @p444)) % 152.44/152.73 (step-pop @p1184 :rule scope :premises (@p1075)) % 152.44/152.73 (step-pop @p1185 :rule scope :premises (@p1184)) % 152.44/152.73 (step-pop @p1186 :rule scope :premises (@p1185)) % 152.44/152.73 (step @p1076 :rule process_scope :premises (@p1186) :args (@t680)) % 152.44/152.73 (step @p1080 :rule implies_elim :premises (@p1076)) % 152.44/152.73 (step @p1081 :rule resolution :premises (@p1080 @p1068) :args (true @t680)) % 152.44/152.73 (step @p1082 :rule not_and :premises (@p1081)) % 152.44/152.73 (step @p1083 :rule eq_resolve :premises (@p1082 @p1037)) % 152.44/152.73 (step @p1084 false :rule chain_m_resolution :premises (@p1083 @p1034 @p449 @p444) :args (false (@list true false false) (@list @t468 @t477 @t395))) % 152.44/152.73 ) % 152.44/152.73 % SZS output end Proof % 152.44/152.73 % cvc5 exiting %------------------------------------------------------------------------------