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%------------------------------------------------------------------------------
% File     : cvc5---1.3.4
% Problem  : SWW605_2 : TPTP v9.2.1. Released v6.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM

% Computer : n004.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 152.13s 152.42s
% Output   : Proof 152.13s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13  % Problem  : SWW605_2 : TPTP v9.2.1. Released v6.1.0.
% 0.12/0.14  % Command  : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.18/0.35  % Computer : n004.cluster.edu
% 0.18/0.35  % Model    : x86_64 x86_64
% 0.18/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.18/0.35  % Memory   : 8042.1875MB
% 0.18/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.18/0.35  % CPULimit : 300
% 0.18/0.35  % WCLimit  : 300
% 0.18/0.35  % DateTime : Tue Jun  2 22:18:22 EDT 2026
% 0.18/0.35  % CPUTime  : 
% 0.27/0.53  %----Proving TF0_ARI
% 152.13/152.42  --- Run --finite-model-find --decision=internal at 45...
% 152.13/152.42  --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 60...
% 152.13/152.42  --- Run --no-e-matching --full-saturate-quant at 45...
% 152.13/152.42  --- Run --cegqi-all --purify-triggers --full-saturate-quant at 45...
% 152.13/152.42  % SZS status Theorem
% 152.13/152.42  % SZS output start Proof
% 152.13/152.42  (
% 152.13/152.42  (declare-sort tptp.uni 0)
% 152.13/152.42  (declare-sort tptp.ty 0)
% 152.13/152.42  (declare-sort tptp.bool1 0)
% 152.13/152.42  (declare-sort tptp.a1 0)
% 152.13/152.42  (declare-sort tptp.tuple02 0)
% 152.13/152.42  (declare-sort tptp.array_lplist_lpkeycm_a1rprp 0)
% 152.13/152.42  (declare-sort tptp.key1 0)
% 152.13/152.42  (declare-sort tptp.list_lpkeycm_a1rp 0)
% 152.13/152.42  (declare-sort tptp.map_int_lplist_lpkeycm_a1rprp 0)
% 152.13/152.42  (declare-sort tptp.lpkeycm_a1rp 0)
% 152.13/152.42  (declare-sort tptp.map_key_lpoption_a1rp 0)
% 152.13/152.42  (declare-sort tptp.option_a1 0)
% 152.13/152.42  (declare-const tptp.tb2t8 (-> tptp.uni tptp.lpkeycm_a1rp))
% 152.13/152.42  (declare-const tptp.t2tb8 (-> tptp.lpkeycm_a1rp tptp.uni))
% 152.13/152.42  (declare-const tptp.tb2t6 (-> tptp.uni tptp.list_lpkeycm_a1rp))
% 152.13/152.42  (declare-const tptp.tb2t5 (-> tptp.uni tptp.array_lplist_lpkeycm_a1rprp))
% 152.13/152.42  (declare-const tptp.t2tb5 (-> tptp.array_lplist_lpkeycm_a1rprp tptp.uni))
% 152.13/152.42  (declare-const tptp.array (-> tptp.ty tptp.ty))
% 152.13/152.42  (declare-const tptp.some (-> tptp.ty tptp.uni tptp.uni))
% 152.13/152.42  (declare-const tptp.tuple2_proj_11 (-> tptp.ty tptp.ty tptp.uni tptp.uni))
% 152.13/152.42  (declare-const tptp.elts (-> tptp.ty tptp.uni tptp.uni))
% 152.13/152.42  (declare-const tptp.good_hash1 (-> tptp.ty tptp.uni Int Bool))
% 152.13/152.42  (declare-const tptp.t2tb2 (-> tptp.map_int_lplist_lpkeycm_a1rprp tptp.uni))
% 152.13/152.42  (declare-const tptp.cons_proj_21 (-> tptp.ty tptp.uni tptp.uni))
% 152.13/152.42  (declare-const tptp.cons_proj_11 (-> tptp.ty tptp.uni tptp.uni))
% 152.13/152.42  (declare-const tptp.tb2t7 (-> tptp.uni tptp.a1))
% 152.13/152.42  (declare-const tptp.length1 (-> tptp.ty tptp.uni Int))
% 152.13/152.42  (declare-const tptp.get (-> tptp.ty tptp.ty tptp.uni tptp.uni tptp.uni))
% 152.13/152.42  (declare-const tptp.witness1 (-> tptp.ty tptp.uni))
% 152.13/152.42  (declare-const tptp.const (-> tptp.ty tptp.ty tptp.uni tptp.uni))
% 152.13/152.42  (declare-const tptp.mem (-> tptp.ty tptp.uni tptp.uni Bool))
% 152.13/152.42  (declare-const tptp.tuple03 tptp.tuple02)
% 152.13/152.42  (declare-const tptp.none (-> tptp.ty tptp.uni))
% 152.13/152.42  (declare-const tptp.tuple21 (-> tptp.ty tptp.ty tptp.uni tptp.uni tptp.uni))
% 152.13/152.42  (declare-const tptp.list (-> tptp.ty tptp.ty))
% 152.13/152.42  (declare-const tptp.option (-> tptp.ty tptp.ty))
% 152.13/152.42  (declare-const tptp.tuple2 (-> tptp.ty tptp.ty tptp.ty))
% 152.13/152.42  (declare-const tptp.match_bool1 (-> tptp.ty tptp.bool1 tptp.uni tptp.uni tptp.uni))
% 152.13/152.42  (declare-const tptp.true1 tptp.bool1)
% 152.13/152.42  (declare-const tptp.false1 tptp.bool1)
% 152.13/152.42  (declare-const tptp.abs1 (-> Int Int))
% 152.13/152.42  (declare-const tptp.t2tb7 (-> tptp.a1 tptp.uni))
% 152.13/152.42  (declare-const tptp.nil (-> tptp.ty tptp.uni))
% 152.13/152.42  (declare-const tptp.mk_array1 (-> tptp.ty Int tptp.uni tptp.uni))
% 152.13/152.42  (declare-const tptp.match_list1 (-> tptp.ty tptp.ty tptp.uni tptp.uni tptp.uni tptp.uni))
% 152.13/152.42  (declare-const tptp.t2tb4 (-> tptp.option_a1 tptp.uni))
% 152.13/152.42  (declare-const tptp.a tptp.ty)
% 152.13/152.42  (declare-const tptp.mod1 (-> Int Int Int))
% 152.13/152.42  (declare-const tptp.some_proj_11 (-> tptp.ty tptp.uni tptp.uni))
% 152.13/152.42  (declare-const tptp.div1 (-> Int Int Int))
% 152.13/152.42  (declare-const tptp.set (-> tptp.ty tptp.ty tptp.uni tptp.uni tptp.uni tptp.uni))
% 152.13/152.42  (declare-const tptp.mk_t1 (-> tptp.ty Int tptp.uni tptp.uni tptp.uni))
% 152.13/152.42  (declare-const tptp.match_option1 (-> tptp.ty tptp.ty tptp.uni tptp.uni tptp.uni tptp.uni))
% 152.13/152.42  (declare-const tptp.good_data1 (-> tptp.ty tptp.key1 tptp.uni tptp.uni tptp.uni Bool))
% 152.13/152.42  (declare-const tptp.int tptp.ty)
% 152.13/152.42  (declare-const tptp.get2 (-> tptp.ty tptp.uni Int tptp.uni))
% 152.13/152.42  (declare-const tptp.t2tb1 (-> tptp.key1 tptp.uni))
% 152.13/152.42  (declare-const tptp.t (-> tptp.ty tptp.ty))
% 152.13/152.42  (declare-const tptp.t2tb (-> Int tptp.uni))
% 152.13/152.42  (declare-const tptp.tb2t3 (-> tptp.uni tptp.map_key_lpoption_a1rp))
% 152.13/152.42  (declare-const tptp.tb2t1 (-> tptp.uni tptp.key1))
% 152.13/152.42  (declare-const tptp.tb2t (-> tptp.uni Int))
% 152.13/152.42  (declare-const tptp.set2 (-> tptp.ty tptp.uni Int tptp.uni tptp.uni))
% 152.13/152.42  (declare-const tptp.map (-> tptp.ty tptp.ty tptp.ty))
% 152.13/152.42  (declare-const tptp.make1 (-> tptp.ty Int tptp.uni tptp.uni))
% 152.13/152.42  (declare-const tptp.tuple2_proj_21 (-> tptp.ty tptp.ty tptp.uni tptp.uni))
% 152.13/152.42  (declare-const tptp.t2tb6 (-> tptp.list_lpkeycm_a1rp tptp.uni))
% 152.13/152.42  (declare-const tptp.key tptp.ty)
% 152.13/152.42  (declare-const tptp.t2tb3 (-> tptp.map_key_lpoption_a1rp tptp.uni))
% 152.13/152.42  (declare-const tptp.in_data1 (-> tptp.ty tptp.key1 tptp.uni tptp.uni Bool))
% 152.13/152.42  (declare-const tptp.hash1 (-> tptp.key1 Int))
% 152.13/152.42  (declare-const tptp.size1 (-> tptp.ty tptp.uni Int))
% 152.13/152.42  (declare-const tptp.bucket1 (-> tptp.key1 Int Int))
% 152.13/152.42  (declare-const tptp.data (-> tptp.ty tptp.uni tptp.uni))
% 152.13/152.42  (declare-const tptp.sort1 (-> tptp.ty tptp.uni Bool))
% 152.13/152.42  (declare-const tptp.view (-> tptp.ty tptp.uni tptp.uni))
% 152.13/152.42  (declare-const tptp.cons (-> tptp.ty tptp.uni tptp.uni tptp.uni))
% 152.13/152.42  (declare-const tptp.tb2t2 (-> tptp.uni tptp.map_int_lplist_lpkeycm_a1rprp))
% 152.13/152.42  (declare-const tptp.tb2t4 (-> tptp.uni tptp.option_a1))
% 152.13/152.42  (define @t1 () (@var "A" tptp.ty))
% 152.13/152.42  (define @t2 () (@list @t1))
% 152.13/152.42  (define @t3 () (@var "X2" tptp.uni))
% 152.13/152.42  (define @t4 () (@var "X1" tptp.uni))
% 152.13/152.42  (define @t5 () (@var "X" tptp.bool1))
% 152.13/152.42  (define @t6 () (@var "Z" tptp.uni))
% 152.13/152.42  (define @t7 () (@var "Z1" tptp.uni))
% 152.13/152.42  (define @t8 () (@list @t1 @t6 @t7))
% 152.13/152.42  (define @t9 () (@var "U" tptp.bool1))
% 152.13/152.42  (define @t10 () (@var "U" tptp.tuple02))
% 152.13/152.42  (define @t11 () (@var "Z" Int))
% 152.13/152.42  (define @t12 () (@var "Y" Int))
% 152.13/152.42  (define @t13 () (@var "X" Int))
% 152.13/152.42  (define @t14 () (<= 0 @t11))
% 152.13/152.42  (define @t15 () (<= @t13 @t12))
% 152.13/152.42  (define @t16 () (@list @t13 @t12 @t11))
% 152.13/152.42  (define @t17 () (tptp.abs1 @t13))
% 152.13/152.42  (define @t18 () (<= 0 @t13))
% 152.13/152.42  (define @t19 () (@list @t13))
% 152.13/152.42  (define @t20 () (@list @t13 @t12))
% 152.13/152.42  (define @t21 () (tptp.mod1 @t13 @t12))
% 152.13/152.42  (define @t22 () (tptp.div1 @t13 @t12))
% 152.13/152.42  (define @t23 () (not (= @t12 0)))
% 152.13/152.42  (define @t24 () (<= 0 @t22))
% 152.13/152.42  (define @t25 () (< 0 @t12))
% 152.13/152.42  (define @t26 () (and @t18 @t25))
% 152.13/152.42  (define @t27 () (tptp.abs1 @t12))
% 152.13/152.42  (define @t28 () (<= @t13 0))
% 152.13/152.42  (define @t29 () (and @t18 (< @t13 @t12)))
% 152.13/152.42  (define @t30 () (+ (* @t13 @t12) @t11))
% 152.13/152.42  (define @t31 () (and (< 0 @t13) (<= 0 @t12) @t14))
% 152.13/152.42  (define @t32 () (tptp.none @t1))
% 152.13/152.42  (define @t33 () (tptp.option @t1))
% 152.13/152.42  (define @t34 () (@var "X" tptp.uni))
% 152.13/152.42  (define @t35 () (@list @t1 @t34))
% 152.13/152.42  (define @t36 () (@var "A1" tptp.ty))
% 152.13/152.42  (define @t37 () (@list @t1 @t36 @t34 @t4 @t3))
% 152.13/152.42  (define @t38 () (tptp.sort1 @t36 @t6))
% 152.13/152.42  (define @t39 () (@list @t1 @t36 @t6 @t7))
% 152.13/152.42  (define @t40 () (@var "U" tptp.uni))
% 152.13/152.42  (define @t41 () (tptp.some @t1 @t40))
% 152.13/152.42  (define @t42 () (tptp.sort1 @t36 @t7))
% 152.13/152.42  (define @t43 () (@var "V" tptp.uni))
% 152.13/152.42  (define @t44 () (tptp.some @t1 @t43))
% 152.13/152.42  (define @t45 () (tptp.sort1 @t1 @t40))
% 152.13/152.42  (define @t46 () (@list @t1 @t40))
% 152.13/152.42  (define @t47 () (tptp.nil @t1))
% 152.13/152.42  (define @t48 () (tptp.list @t1))
% 152.13/152.42  (define @t49 () (@var "U1" tptp.uni))
% 152.13/152.42  (define @t50 () (tptp.cons @t1 @t40 @t49))
% 152.13/152.42  (define @t51 () (@var "V1" tptp.uni))
% 152.13/152.42  (define @t52 () (@list @t1 @t40 @t49))
% 152.13/152.42  (define @t53 () (tptp.mem @t1 @t34 @t3))
% 152.13/152.42  (define @t54 () (or (= @t34 @t4) @t53))
% 152.13/152.42  (define @t55 () (tptp.mem @t1 @t34 (tptp.cons @t1 @t4 @t3)))
% 152.13/152.42  (define @t56 () (= @t55 @t54))
% 152.13/152.42  (define @t57 () (tptp.sort1 @t1 @t4))
% 152.13/152.42  (define @t58 () (=> @t57 @t56))
% 152.13/152.42  (define @t59 () (@list @t4 @t3))
% 152.13/152.42  (define @t60 () (forall @t59 @t58))
% 152.13/152.42  (define @t61 () (not (tptp.mem @t1 @t34 @t47)))
% 152.13/152.42  (define @t62 () (and @t61 @t60))
% 152.13/152.42  (define @t63 () (tptp.sort1 @t1 @t34))
% 152.13/152.42  (define @t64 () (=> @t63 @t62))
% 152.13/152.42  (define @t65 () (forall @t35 @t64))
% 152.13/152.42  (define @t66 () (@var "B" tptp.ty))
% 152.13/152.42  (define @t67 () (tptp.map @t1 @t66))
% 152.13/152.42  (define @t68 () (@var "B1" tptp.uni))
% 152.13/152.42  (define @t69 () (@var "A2" tptp.uni))
% 152.13/152.42  (define @t70 () (@var "A1" tptp.uni))
% 152.13/152.42  (define @t71 () (@var "M" tptp.uni))
% 152.13/152.42  (define @t72 () (tptp.get @t66 @t1 (tptp.set @t66 @t1 @t71 @t70 @t68) @t69))
% 152.13/152.42  (define @t73 () (= @t70 @t69))
% 152.13/152.42  (define @t74 () (tptp.sort1 @t66 @t68))
% 152.13/152.42  (define @t75 () (tptp.array @t1))
% 152.13/152.42  (define @t76 () (@list @t1 @t13 @t4))
% 152.13/152.42  (define @t77 () (@var "U" Int))
% 152.13/152.42  (define @t78 () (tptp.mk_array1 @t1 @t77 @t49))
% 152.13/152.42  (define @t79 () (@list @t1 @t77 @t49))
% 152.13/152.42  (define @t80 () (tptp.map tptp.int @t1))
% 152.13/152.42  (define @t81 () (@var "X1" Int))
% 152.13/152.42  (define @t82 () (@var "I" Int))
% 152.13/152.42  (define @t83 () (tptp.t2tb @t82))
% 152.13/152.42  (define @t84 () (@list @t82))
% 152.13/152.42  (define @t85 () (@var "J" tptp.uni))
% 152.13/152.42  (define @t86 () (@list @t85))
% 152.13/152.42  (define @t87 () (tptp.elts @t1 @t70))
% 152.13/152.42  (define @t88 () (@var "N" Int))
% 152.13/152.42  (define @t89 () (@var "K" tptp.key1))
% 152.13/152.42  (define @t90 () (tptp.hash1 @t89))
% 152.13/152.42  (define @t91 () (@list @t89))
% 152.13/152.42  (define @t92 () (tptp.bucket1 @t89 @t88))
% 152.13/152.42  (define @t93 () (and (<= 0 @t92) (< @t92 @t88)))
% 152.13/152.42  (define @t94 () (forall @t91 @t93))
% 152.13/152.42  (define @t95 () (=> (< 0 @t88) @t94))
% 152.13/152.42  (define @t96 () (@list @t88))
% 152.13/152.42  (define @t97 () (forall @t96 @t95))
% 152.13/152.42  (define @t98 () (tptp.tuple2 @t36 @t1))
% 152.13/152.42  (define @t99 () (@list @t1 @t36 @t34))
% 152.13/152.42  (define @t100 () (tptp.tuple21 @t36 @t1 @t40 @t49))
% 152.13/152.42  (define @t101 () (@list @t1 @t36 @t40 @t49))
% 152.13/152.42  (define @t102 () (@var "X" tptp.key1))
% 152.13/152.42  (define @t103 () (@var "I" tptp.key1))
% 152.13/152.42  (define @t104 () (@var "D" tptp.uni))
% 152.13/152.42  (define @t105 () (tptp.tuple2 tptp.key @t1))
% 152.13/152.42  (define @t106 () (tptp.list @t105))
% 152.13/152.42  (define @t107 () (tptp.bucket1 @t89 (tptp.length1 @t106 @t104)))
% 152.13/152.42  (define @t108 () (tptp.t2tb1 @t89))
% 152.13/152.42  (define @t109 () (tptp.tuple21 tptp.key @t1 @t108 @t43))
% 152.13/152.42  (define @t110 () (tptp.in_data1 @t1 @t89 @t43 @t104))
% 152.13/152.42  (define @t111 () (tptp.get @t33 tptp.key @t71 @t108))
% 152.13/152.42  (define @t112 () (= @t111 @t44))
% 152.13/152.42  (define @t113 () (tptp.good_data1 @t1 @t89 @t43 @t71 @t104))
% 152.13/152.42  (define @t114 () (= @t113 (= @t112 @t110)))
% 152.13/152.42  (define @t115 () (forall (@list @t1 @t89 @t43 @t71 @t104) @t114))
% 152.13/152.42  (define @t116 () (tptp.good_hash1 @t1 @t104 @t82))
% 152.13/152.42  (define @t117 () (=> (tptp.mem @t105 @t109 (tptp.get2 @t106 @t104 @t82)) (= @t107 @t82)))
% 152.13/152.42  (define @t118 () (@list @t89 @t43))
% 152.13/152.42  (define @t119 () (@var "U2" tptp.uni))
% 152.13/152.42  (define @t120 () (tptp.mk_t1 @t1 @t77 @t49 @t119))
% 152.13/152.42  (define @t121 () (@list @t1 @t77 @t49 @t119))
% 152.13/152.42  (define @t122 () (tptp.map tptp.key @t33))
% 152.13/152.42  (define @t123 () (@var "X" tptp.map_int_lplist_lpkeycm_a1rprp))
% 152.13/152.42  (define @t124 () (tptp.tuple2 tptp.key tptp.a))
% 152.13/152.42  (define @t125 () (tptp.list @t124))
% 152.13/152.42  (define @t126 () (@var "I" tptp.map_int_lplist_lpkeycm_a1rprp))
% 152.13/152.42  (define @t127 () (@var "X" tptp.map_key_lpoption_a1rp))
% 152.13/152.42  (define @t128 () (tptp.option tptp.a))
% 152.13/152.42  (define @t129 () (tptp.map tptp.key @t128))
% 152.13/152.42  (define @t130 () (@var "I" tptp.map_key_lpoption_a1rp))
% 152.13/152.42  (define @t131 () (@var "X" tptp.option_a1))
% 152.13/152.42  (define @t132 () (@var "I" tptp.option_a1))
% 152.13/152.42  (define @t133 () (tptp.t2tb4 (tptp.tb2t4 @t85)))
% 152.13/152.42  (define @t134 () (tptp.sort1 @t128 @t85))
% 152.13/152.42  (define @t135 () (=> @t134 (= @t133 @t85)))
% 152.13/152.42  (define @t136 () (forall @t86 @t135))
% 152.13/152.42  (define @t137 () (@var "X" tptp.array_lplist_lpkeycm_a1rprp))
% 152.13/152.42  (define @t138 () (@var "I" tptp.array_lplist_lpkeycm_a1rprp))
% 152.13/152.42  (define @t139 () (@var "X" tptp.list_lpkeycm_a1rp))
% 152.13/152.42  (define @t140 () (@var "I" tptp.list_lpkeycm_a1rp))
% 152.13/152.42  (define @t141 () (tptp.t2tb6 (tptp.tb2t6 @t85)))
% 152.13/152.42  (define @t142 () (forall @t86 (= @t141 @t85)))
% 152.13/152.42  (define @t143 () (@var "X" tptp.lpkeycm_a1rp))
% 152.13/152.42  (define @t144 () (@var "I" tptp.lpkeycm_a1rp))
% 152.13/152.42  (define @t145 () (@var "X" tptp.a1))
% 152.13/152.42  (define @t146 () (@var "I" tptp.a1))
% 152.13/152.42  (define @t147 () (@var "Ndata" tptp.map_int_lplist_lpkeycm_a1rprp))
% 152.13/152.42  (define @t148 () (tptp.t2tb2 @t147))
% 152.13/152.42  (define @t149 () (@var "H" Int))
% 152.13/152.42  (define @t150 () (* 2 @t149))
% 152.13/152.42  (define @t151 () (+ @t150 1))
% 152.13/152.42  (define @t152 () (tptp.mk_array1 @t125 @t151 @t148))
% 152.13/152.42  (define @t153 () (@var "V" tptp.a1))
% 152.13/152.42  (define @t154 () (tptp.t2tb7 @t153))
% 152.13/152.42  (define @t155 () (tptp.in_data1 tptp.a @t89 @t154 @t152))
% 152.13/152.42  (define @t156 () (not @t155))
% 152.13/152.42  (define @t157 () (tptp.bucket1 @t89 @t149))
% 152.13/152.42  (define @t158 () (<= 0 @t157))
% 152.13/152.42  (define @t159 () (and @t158 (<= @t157 @t82)))
% 152.13/152.42  (define @t160 () (not @t159))
% 152.13/152.42  (define @t161 () (=> @t160 @t156))
% 152.13/152.42  (define @t162 () (@var "Rho" tptp.map_key_lpoption_a1rp))
% 152.13/152.42  (define @t163 () (tptp.t2tb3 @t162))
% 152.13/152.42  (define @t164 () (tptp.good_data1 tptp.a @t89 @t154 @t163 @t152))
% 152.13/152.42  (define @t165 () (=> @t159 @t164))
% 152.13/152.42  (define @t166 () (and @t165 @t161))
% 152.13/152.42  (define @t167 () (@list @t89 @t153))
% 152.13/152.42  (define @t168 () (forall @t167 @t166))
% 152.13/152.42  (define @t169 () (tptp.nil @t124))
% 152.13/152.42  (define @t170 () (tptp.tb2t6 @t169))
% 152.13/152.42  (define @t171 () (@var "L" tptp.list_lpkeycm_a1rp))
% 152.13/152.42  (define @t172 () (= @t171 @t170))
% 152.13/152.42  (define @t173 () (=> @t172 @t168))
% 152.13/152.42  (define @t174 () (= @t157 @t82))
% 152.13/152.42  (define @t175 () (not @t174))
% 152.13/152.42  (define @t176 () (and @t175 @t156))
% 152.13/152.42  (define @t177 () (tptp.tuple21 tptp.key tptp.a @t108 @t154))
% 152.13/152.42  (define @t178 () (tptp.mem @t124 @t177 (tptp.t2tb6 @t171)))
% 152.13/152.42  (define @t179 () (or @t178 @t155))
% 152.13/152.42  (define @t180 () (tptp.tb2t4 (tptp.some tptp.a @t154)))
% 152.13/152.42  (define @t181 () (= (tptp.tb2t4 (tptp.get @t128 tptp.key @t163 @t108)) @t180))
% 152.13/152.42  (define @t182 () (= @t181 @t179))
% 152.13/152.42  (define @t183 () (and @t174 @t182))
% 152.13/152.42  (define @t184 () (or @t183 @t176))
% 152.13/152.42  (define @t185 () (< @t157 @t82))
% 152.13/152.42  (define @t186 () (and @t158 @t185))
% 152.13/152.42  (define @t187 () (not @t186))
% 152.13/152.42  (define @t188 () (and @t187 @t184))
% 152.13/152.42  (define @t189 () (and @t158 @t185 @t164))
% 152.13/152.42  (define @t190 () (or @t189 @t188))
% 152.13/152.42  (define @t191 () (forall @t167 @t190))
% 152.13/152.42  (define @t192 () (@var "J" Int))
% 152.13/152.42  (define @t193 () (tptp.good_hash1 tptp.a @t152 @t192))
% 152.13/152.42  (define @t194 () (and (<= 0 @t192) (< @t192 @t151)))
% 152.13/152.42  (define @t195 () (=> @t194 @t193))
% 152.13/152.42  (define @t196 () (@list @t192))
% 152.13/152.42  (define @t197 () (forall @t196 @t195))
% 152.13/152.42  (define @t198 () (=> @t178 @t174))
% 152.13/152.42  (define @t199 () (forall @t167 @t198))
% 152.13/152.42  (define @t200 () (<= 0 @t151))
% 152.13/152.42  (define @t201 () (@var "Rho1" Int))
% 152.13/152.42  (define @t202 () (@var "Rho2" tptp.map_int_lplist_lpkeycm_a1rprp))
% 152.13/152.42  (define @t203 () (tptp.mk_array1 @t125 @t201 (tptp.t2tb2 @t202)))
% 152.13/152.42  (define @t204 () (forall @t167 (tptp.good_data1 tptp.a @t89 @t154 @t163 @t203)))
% 152.13/152.42  (define @t205 () (@var "I1" Int))
% 152.13/152.42  (define @t206 () (tptp.good_hash1 tptp.a @t203 @t205))
% 152.13/152.42  (define @t207 () (and (<= 0 @t205) (< @t205 @t201)))
% 152.13/152.42  (define @t208 () (=> @t207 @t206))
% 152.13/152.42  (define @t209 () (@list @t205))
% 152.13/152.42  (define @t210 () (forall @t209 @t208))
% 152.13/152.43  (define @t211 () (and (< 0 @t201) @t210 @t204 (<= 0 @t201) @t200 @t199 @t197 @t191))
% 152.13/152.43  (define @t212 () (=> @t211 @t173))
% 152.13/152.43  (define @t213 () (@list @t82 @t171 @t147 @t162 @t201 @t202))
% 152.13/152.43  (define @t214 () (forall @t213 @t212))
% 152.13/152.43  (define @t215 () (=> @t200 @t214))
% 152.13/152.43  (define @t216 () (=> @t200 @t215))
% 152.13/152.43  (define @t217 () (@var "H1" tptp.map_int_lplist_lpkeycm_a1rprp))
% 152.13/152.43  (define @t218 () (tptp.mk_array1 @t125 @t149 (tptp.t2tb2 @t217)))
% 152.13/152.43  (define @t219 () (@var "H2" tptp.map_key_lpoption_a1rp))
% 152.13/152.43  (define @t220 () (forall @t167 (tptp.good_data1 tptp.a @t89 @t154 (tptp.t2tb3 @t219) @t218)))
% 152.13/152.43  (define @t221 () (tptp.good_hash1 tptp.a @t218 @t82))
% 152.13/152.43  (define @t222 () (and (<= 0 @t82) (< @t82 @t149)))
% 152.13/152.43  (define @t223 () (=> @t222 @t221))
% 152.13/152.43  (define @t224 () (forall @t84 @t223))
% 152.13/152.43  (define @t225 () (and (< 0 @t149) @t224 @t220 (<= 0 @t149)))
% 152.13/152.43  (define @t226 () (=> @t225 @t216))
% 152.13/152.43  (define @t227 () (@list @t149 @t217 @t219))
% 152.13/152.43  (define @t228 () (forall @t227 @t226))
% 152.13/152.43  (define @t229 () (not @t228))
% 152.13/152.43  (define @t230 () (@var "BOUND_VARIABLE_9153" tptp.map_int_lplist_lpkeycm_a1rprp))
% 152.13/152.43  (define @t231 () (+ 1 @t150))
% 152.13/152.43  (define @t232 () (tptp.mk_array1 @t125 @t231 (tptp.t2tb2 @t230)))
% 152.13/152.43  (define @t233 () (@var "BOUND_VARIABLE_9167" tptp.a1))
% 152.13/152.43  (define @t234 () (@var "BOUND_VARIABLE_9165" tptp.key1))
% 152.13/152.43  (define @t235 () (tptp.bucket1 @t234 @t149))
% 152.13/152.43  (define @t236 () (@var "BOUND_VARIABLE_9151" Int))
% 152.13/152.43  (define @t237 () (@var "BOUND_VARIABLE_9155" tptp.map_key_lpoption_a1rp))
% 152.13/152.43  (define @t238 () (tptp.t2tb3 @t237))
% 152.13/152.43  (define @t239 () (@var "BOUND_VARIABLE_9163" tptp.a1))
% 152.13/152.43  (define @t240 () (@var "BOUND_VARIABLE_9161" tptp.key1))
% 152.13/152.43  (define @t241 () (tptp.bucket1 @t240 @t149))
% 152.13/152.43  (define @t242 () (and (or (not (>= @t241 0)) (not (>= (+ @t236 (* -1 @t241)) 0)) (tptp.good_data1 tptp.a @t240 (tptp.t2tb7 @t239) @t238 @t232)) (or (and (>= @t235 0) (>= (+ @t236 (* -1 @t235)) 0)) (not (tptp.in_data1 tptp.a @t234 (tptp.t2tb7 @t233) @t232)))))
% 152.13/152.43  (define @t243 () (tptp.in_data1 tptp.a @t89 @t154 @t232))
% 152.13/152.43  (define @t244 () (= @t236 @t157))
% 152.13/152.43  (define @t245 () (and (not @t244) (not @t243)))
% 152.13/152.43  (define @t246 () (tptp.tb2t4 (tptp.get @t128 tptp.key @t238 @t108)))
% 152.13/152.43  (define @t247 () (= @t180 @t246))
% 152.13/152.43  (define @t248 () (tptp.t2tb6 @t170))
% 152.13/152.43  (define @t249 () (tptp.mem @t124 @t177 @t248))
% 152.13/152.43  (define @t250 () (or @t249 @t243))
% 152.13/152.43  (define @t251 () (* -1 @t157))
% 152.13/152.43  (define @t252 () (>= (+ @t236 @t251) 1))
% 152.13/152.43  (define @t253 () (>= @t157 0))
% 152.13/152.43  (define @t254 () (not @t253))
% 152.13/152.43  (define @t255 () (or @t254 (not @t252)))
% 152.13/152.43  (define @t256 () (and @t253 @t252 (tptp.good_data1 tptp.a @t89 @t154 @t238 @t232)))
% 152.13/152.43  (define @t257 () (@var "BOUND_VARIABLE_9157" Int))
% 152.13/152.43  (define @t258 () (not (>= @t257 0)))
% 152.13/152.43  (define @t259 () (@var "BOUND_VARIABLE_9159" tptp.map_int_lplist_lpkeycm_a1rprp))
% 152.13/152.43  (define @t260 () (tptp.mk_array1 @t125 @t257 (tptp.t2tb2 @t259)))
% 152.13/152.43  (define @t261 () (not (forall @t167 (tptp.good_data1 tptp.a @t89 @t154 @t238 @t260))))
% 152.13/152.43  (define @t262 () (tptp.good_hash1 tptp.a @t260 @t205))
% 152.13/152.43  (define @t263 () (+ @t205 (* -1 @t257)))
% 152.13/152.43  (define @t264 () (>= @t263 0))
% 152.13/152.43  (define @t265 () (>= @t205 0))
% 152.13/152.43  (define @t266 () (not @t265))
% 152.13/152.43  (define @t267 () (not (>= @t257 1)))
% 152.13/152.43  (define @t268 () (* -1 @t192))
% 152.13/152.43  (define @t269 () (+ @t150 @t268))
% 152.13/152.43  (define @t270 () (>= @t269 0))
% 152.13/152.43  (define @t271 () (not @t270))
% 152.13/152.43  (define @t272 () (>= @t192 0))
% 152.13/152.43  (define @t273 () (not @t272))
% 152.13/152.43  (define @t274 () (not (forall @t196 (or @t273 @t271 (tptp.good_hash1 tptp.a @t232 @t192)))))
% 152.13/152.43  (define @t275 () (not @t249))
% 152.13/152.43  (define @t276 () (not (forall @t167 (or @t275 @t244))))
% 152.13/152.43  (define @t277 () (>= @t149 0))
% 152.13/152.43  (define @t278 () (not @t277))
% 152.13/152.43  (define @t279 () (not @t220))
% 152.13/152.43  (define @t280 () (+ @t82 (* -1 @t149)))
% 152.13/152.43  (define @t281 () (>= @t280 0))
% 152.13/152.43  (define @t282 () (>= @t82 0))
% 152.13/152.43  (define @t283 () (not @t282))
% 152.13/152.43  (define @t284 () (or @t283 @t281 @t221))
% 152.13/152.43  (define @t285 () (forall @t84 @t284))
% 152.13/152.43  (define @t286 () (not @t285))
% 152.13/152.43  (define @t287 () (>= @t149 1))
% 152.13/152.43  (define @t288 () (not @t287))
% 152.13/152.43  (define @t289 () (@list @t149 @t217 @t219 @t236 @t230 @t237 @t257 @t259 @t240 @t239 @t234 @t233))
% 152.13/152.43  (define @t290 () (forall @t289 (or @t288 @t286 @t279 @t278 @t276 @t274 @t267 (not (forall @t209 (or @t266 @t264 @t262))) @t261 @t258 (not (forall @t167 (or @t256 (and @t255 (or (and @t244 (= @t250 @t247)) @t245))))) @t242)))
% 152.13/152.43  (define @t291 () (@quantifiers_skolemize @t290 0))
% 152.13/152.43  (define @t292 () (* 2 @t291))
% 152.13/152.43  (define @t293 () (tptp.mk_array1 @t125 (+ 1 @t292) (tptp.t2tb2 (@quantifiers_skolemize @t290 4))))
% 152.13/152.43  (define @t294 () (@quantifiers_skolemize @t290 11))
% 152.13/152.43  (define @t295 () (tptp.t2tb7 @t294))
% 152.13/152.43  (define @t296 () (@quantifiers_skolemize @t290 10))
% 152.13/152.43  (define @t297 () (tptp.in_data1 tptp.a @t296 @t295 @t293))
% 152.13/152.43  (define @t298 () (not @t297))
% 152.13/152.43  (define @t299 () (tptp.bucket1 @t296 @t291))
% 152.13/152.43  (define @t300 () (@quantifiers_skolemize @t290 3))
% 152.13/152.43  (define @t301 () (+ @t300 (* -1 @t299)))
% 152.13/152.43  (define @t302 () (>= @t301 0))
% 152.13/152.43  (define @t303 () (>= @t299 0))
% 152.13/152.43  (define @t304 () (and @t303 @t302))
% 152.13/152.43  (define @t305 () (or @t304 @t298))
% 152.13/152.43  (define @t306 () (@var "BOUND_VARIABLE_8715" tptp.key1))
% 152.13/152.43  (define @t307 () (>= (+ @t88 (* -1 (tptp.bucket1 @t306 @t88))) 1))
% 152.13/152.43  (define @t308 () (@var "BOUND_VARIABLE_8711" tptp.key1))
% 152.13/152.43  (define @t309 () (>= (tptp.bucket1 @t308 @t88) 0))
% 152.13/152.43  (define @t310 () (and @t309 @t307))
% 152.13/152.43  (define @t311 () (>= @t88 1))
% 152.13/152.43  (define @t312 () (not @t311))
% 152.13/152.43  (define @t313 () (or @t312 @t310))
% 152.13/152.43  (define @t314 () (@list @t308 @t306))
% 152.13/152.43  (define @t315 () (forall @t314 @t313))
% 152.13/152.43  (define @t316 () (forall (@list @t306) @t307))
% 152.13/152.43  (define @t317 () (@var "BOUND_VARIABLE_8698" tptp.key1))
% 152.13/152.43  (define @t318 () (@list @t317))
% 152.13/152.43  (define @t319 () (forall @t314 @t307))
% 152.13/152.43  (define @t320 () (forall (@list @t308) @t309))
% 152.13/152.43  (define @t321 () (@var "BOUND_VARIABLE_8692" tptp.key1))
% 152.13/152.43  (define @t322 () (@list @t321))
% 152.13/152.43  (define @t323 () (forall @t314 @t309))
% 152.13/152.43  (define @t324 () (and @t323 @t319))
% 152.13/152.43  (define @t325 () (forall @t314 @t310))
% 152.13/152.43  (define @t326 () (or @t312 @t325))
% 152.13/152.43  (define @t327 () (and (forall (@list @t321) (>= (tptp.bucket1 @t321 @t88) 0)) (forall (@list @t317) (>= (+ @t88 (* -1 (tptp.bucket1 @t317 @t88))) 1))))
% 152.13/152.43  (define @t328 () (+ @t88 (* -1 @t92)))
% 152.13/152.43  (define @t329 () (>= @t328 1))
% 152.13/152.43  (define @t330 () (forall @t91 @t329))
% 152.13/152.43  (define @t331 () (@list @t89))
% 152.13/152.43  (define @t332 () (>= @t92 0))
% 152.13/152.43  (define @t333 () (forall @t91 @t332))
% 152.13/152.43  (define @t334 () (and @t333 @t330))
% 152.13/152.43  (define @t335 () (+ @t328 1))
% 152.13/152.43  (define @t336 () (>= @t92 @t88))
% 152.13/152.43  (define @t337 () (+ @t88 1))
% 152.13/152.43  (define @t338 () (>= 0 @t88))
% 152.13/152.43  (define @t339 () (@quantifiers_skolemize @t290 8))
% 152.13/152.43  (define @t340 () (= (= @t246 @t180) @t250))
% 152.13/152.43  (define @t341 () (and @t244 @t340))
% 152.13/152.43  (define @t342 () (or @t341 @t245))
% 152.13/152.43  (define @t343 () (and @t255 @t342))
% 152.13/152.43  (define @t344 () (or @t256 @t343))
% 152.13/152.43  (define @t345 () (forall @t167 @t344))
% 152.13/152.43  (define @t346 () (not @t345))
% 152.13/152.43  (define @t347 () (* -1 @t205))
% 152.13/152.43  (define @t348 () (+ @t347 @t257))
% 152.13/152.43  (define @t349 () (+ @t263 1))
% 152.13/152.43  (define @t350 () (+ @t257 @t347))
% 152.13/152.43  (define @t351 () (>= @t350 1))
% 152.13/152.43  (define @t352 () (not @t351))
% 152.13/152.43  (define @t353 () (or @t266 @t352 @t262))
% 152.13/152.43  (define @t354 () (forall @t209 @t353))
% 152.13/152.43  (define @t355 () (not @t354))
% 152.13/152.43  (define @t356 () (or @t288 @t286 @t279 @t278 @t276 @t274 @t267 @t355 @t261 @t258 @t346 @t242))
% 152.13/152.43  (define @t357 () (or @t276 @t274 @t267 @t355 @t261 @t258 @t346 @t242))
% 152.13/152.43  (define @t358 () (or @t288 @t286 @t279 @t278 @t357))
% 152.13/152.43  (define @t359 () (forall @t289 @t358))
% 152.13/152.43  (define @t360 () (@list @t236 @t230 @t237 @t257 @t259 @t240 @t239 @t234 @t233))
% 152.13/152.43  (define @t361 () (forall @t360 @t358))
% 152.13/152.43  (define @t362 () (forall @t360 @t357))
% 152.13/152.43  (define @t363 () (@var "BOUND_VARIABLE_9102" tptp.a1))
% 152.13/152.43  (define @t364 () (@var "BOUND_VARIABLE_9100" tptp.key1))
% 152.13/152.43  (define @t365 () (@var "BOUND_VARIABLE_9088" tptp.a1))
% 152.13/152.43  (define @t366 () (@var "BOUND_VARIABLE_9086" tptp.key1))
% 152.13/152.43  (define @t367 () (or @t288 @t286 @t279 @t278 @t362))
% 152.13/152.43  (define @t368 () (tptp.mk_array1 @t125 @t231 @t148))
% 152.13/152.43  (define @t369 () (tptp.bucket1 @t364 @t149))
% 152.13/152.43  (define @t370 () (or (and (>= @t369 0) (>= (+ @t82 (* -1 @t369)) 0)) (not (tptp.in_data1 tptp.a @t364 (tptp.t2tb7 @t363) @t368))))
% 152.13/152.43  (define @t371 () (tptp.bucket1 @t366 @t149))
% 152.13/152.43  (define @t372 () (or (not (>= @t371 0)) (not (>= (+ @t82 (* -1 @t371)) 0)) (tptp.good_data1 tptp.a @t366 (tptp.t2tb7 @t365) @t163 @t368)))
% 152.13/152.43  (define @t373 () (and @t372 @t370))
% 152.13/152.43  (define @t374 () (tptp.in_data1 tptp.a @t89 @t154 @t368))
% 152.13/152.43  (define @t375 () (not @t374))
% 152.13/152.43  (define @t376 () (= @t82 @t157))
% 152.13/152.43  (define @t377 () (and (not @t376) @t375))
% 152.13/152.43  (define @t378 () (+ @t82 @t251))
% 152.13/152.43  (define @t379 () (>= @t378 1))
% 152.13/152.43  (define @t380 () (or @t254 (not @t379)))
% 152.13/152.43  (define @t381 () (tptp.good_data1 tptp.a @t89 @t154 @t163 @t368))
% 152.13/152.43  (define @t382 () (and @t253 @t379 @t381))
% 152.13/152.43  (define @t383 () (not (forall @t167 (or @t382 (and @t380 (or (and @t376 (= @t181 (or @t249 @t374))) @t377))))))
% 152.13/152.43  (define @t384 () (>= @t201 0))
% 152.13/152.43  (define @t385 () (not @t384))
% 152.13/152.43  (define @t386 () (not @t204))
% 152.13/152.43  (define @t387 () (+ @t201 @t347))
% 152.13/152.43  (define @t388 () (>= @t387 1))
% 152.13/152.43  (define @t389 () (not @t388))
% 152.13/152.43  (define @t390 () (or @t266 @t389 @t206))
% 152.13/152.43  (define @t391 () (forall @t209 @t390))
% 152.13/152.43  (define @t392 () (not @t391))
% 152.13/152.43  (define @t393 () (>= @t201 1))
% 152.13/152.43  (define @t394 () (not @t393))
% 152.13/152.43  (define @t395 () (tptp.good_hash1 tptp.a @t368 @t192))
% 152.13/152.43  (define @t396 () (or @t273 @t271 @t395))
% 152.13/152.43  (define @t397 () (forall @t196 @t396))
% 152.13/152.43  (define @t398 () (not @t397))
% 152.13/152.43  (define @t399 () (not (forall @t167 (or @t275 @t376))))
% 152.13/152.43  (define @t400 () (or @t399 @t398 @t394 @t392 @t386 @t385 @t383 @t373))
% 152.13/152.43  (define @t401 () (@list @t82 @t147 @t162 @t201 @t202 @t366 @t365 @t364 @t363))
% 152.13/152.43  (define @t402 () (forall @t401 @t400))
% 152.13/152.43  (define @t403 () (or @t288 @t286 @t279 @t278 @t402))
% 152.13/152.43  (define @t404 () (or @t278 @t402))
% 152.13/152.43  (define @t405 () (or @t288 @t286 @t279 @t278))
% 152.13/152.43  (define @t406 () (=> @t277 @t404))
% 152.13/152.43  (define @t407 () (=> @t277 @t406))
% 152.13/152.43  (define @t408 () (and @t287 @t285 @t220 @t277))
% 152.13/152.43  (define @t409 () (not (= @t170 @t170)))
% 152.13/152.43  (define @t410 () (or @t399 @t398 @t394 @t392 @t386 @t385 @t383 @t409 @t373))
% 152.13/152.43  (define @t411 () (not @t172))
% 152.13/152.43  (define @t412 () (or (and @t376 (= @t181 (or @t178 @t374))) @t377))
% 152.13/152.43  (define @t413 () (forall @t167 (or @t382 (and @t380 @t412))))
% 152.13/152.43  (define @t414 () (not @t413))
% 152.13/152.43  (define @t415 () (forall @t167 (or (not @t178) @t376)))
% 152.13/152.43  (define @t416 () (not @t415))
% 152.13/152.43  (define @t417 () (or @t411 @t416 @t398 @t394 @t392 @t386 @t385 @t414 @t411 @t373))
% 152.13/152.43  (define @t418 () (@list @t171))
% 152.13/152.43  (define @t419 () (or @t416 @t398 @t394 @t392 @t386 @t385 @t414 @t411 @t373))
% 152.13/152.43  (define @t420 () (forall @t418 @t419))
% 152.13/152.43  (define @t421 () (forall @t401 @t420))
% 152.13/152.43  (define @t422 () (forall (@list @t82 @t147 @t162 @t201 @t202 @t366 @t365 @t364 @t363 @t171) @t419))
% 152.13/152.43  (define @t423 () (forall (@list @t82 @t171 @t147 @t162 @t201 @t202 @t366 @t365 @t364 @t363) @t419))
% 152.13/152.43  (define @t424 () (@list @t366 @t365 @t364 @t363))
% 152.13/152.43  (define @t425 () (forall @t424 @t419))
% 152.13/152.43  (define @t426 () (forall (@list @t364 @t363) @t370))
% 152.13/152.43  (define @t427 () (@var "BOUND_VARIABLE_9052" tptp.a1))
% 152.13/152.43  (define @t428 () (@var "BOUND_VARIABLE_9050" tptp.key1))
% 152.13/152.43  (define @t429 () (@list @t428 @t427))
% 152.13/152.43  (define @t430 () (forall @t424 @t370))
% 152.13/152.43  (define @t431 () (forall (@list @t366 @t365) @t372))
% 152.13/152.43  (define @t432 () (@var "BOUND_VARIABLE_9036" tptp.a1))
% 152.13/152.43  (define @t433 () (@var "BOUND_VARIABLE_9034" tptp.key1))
% 152.13/152.43  (define @t434 () (@list @t433 @t432))
% 152.13/152.43  (define @t435 () (forall @t424 @t372))
% 152.13/152.43  (define @t436 () (and @t435 @t430))
% 152.13/152.43  (define @t437 () (forall @t424 @t373))
% 152.13/152.43  (define @t438 () (or @t416 @t398 @t394 @t392 @t386 @t385 @t414 @t411 @t437))
% 152.13/152.43  (define @t439 () (tptp.bucket1 @t428 @t149))
% 152.13/152.43  (define @t440 () (tptp.bucket1 @t433 @t149))
% 152.13/152.43  (define @t441 () (and (forall (@list @t433 @t432) (or (not (>= @t440 0)) (not (>= (+ @t82 (* -1 @t440)) 0)) (tptp.good_data1 tptp.a @t433 (tptp.t2tb7 @t432) @t163 @t368))) (forall (@list @t428 @t427) (or (and (>= @t439 0) (>= (+ @t82 (* -1 @t439)) 0)) (not (tptp.in_data1 tptp.a @t428 (tptp.t2tb7 @t427) @t368))))))
% 152.13/152.43  (define @t442 () (or @t416 @t398 @t394 @t392 @t386 @t385 @t414 @t411 @t441))
% 152.13/152.43  (define @t443 () (forall @t213 @t442))
% 152.13/152.43  (define @t444 () (or @t278 @t443))
% 152.13/152.43  (define @t445 () (or @t278 @t442))
% 152.13/152.43  (define @t446 () (or @t394 @t392 @t386 @t385 @t278 @t416 @t398 @t414 @t411 @t441))
% 152.13/152.43  (define @t447 () (or @t394 @t392 @t386 @t385 @t278 @t416 @t398 @t414))
% 152.13/152.43  (define @t448 () (=> @t172 @t441))
% 152.13/152.43  (define @t449 () (and @t393 @t391 @t204 @t384 @t277 @t415 @t397 @t413))
% 152.13/152.43  (define @t450 () (>= @t378 0))
% 152.13/152.43  (define @t451 () (and @t253 @t450))
% 152.13/152.43  (define @t452 () (or @t451 @t375))
% 152.13/152.43  (define @t453 () (forall @t167 @t452))
% 152.13/152.43  (define @t454 () (@list @t89 @t153))
% 152.13/152.43  (define @t455 () (not @t450))
% 152.13/152.43  (define @t456 () (or @t254 @t455 @t381))
% 152.13/152.43  (define @t457 () (forall @t167 @t456))
% 152.13/152.43  (define @t458 () (and @t457 @t453))
% 152.13/152.43  (define @t459 () (not @t451))
% 152.13/152.43  (define @t460 () (and (=> @t451 @t381) (=> @t459 @t375)))
% 152.13/152.43  (define @t461 () (- @t82 @t157))
% 152.13/152.43  (define @t462 () (and (not (and @t253 @t379)) @t412))
% 152.13/152.43  (define @t463 () (or @t382 @t462))
% 152.13/152.43  (define @t464 () (- @t157 @t82))
% 152.13/152.43  (define @t465 () (+ @t378 1))
% 152.13/152.43  (define @t466 () (>= @t157 @t82))
% 152.13/152.43  (define @t467 () (and @t272 @t270))
% 152.13/152.43  (define @t468 () (+ @t269 1))
% 152.13/152.43  (define @t469 () (>= @t192 @t151))
% 152.13/152.43  (define @t470 () (to_int -1/2))
% 152.13/152.43  (define @t471 () (to_real @t149))
% 152.13/152.43  (define @t472 () (and @t265 @t388))
% 152.13/152.43  (define @t473 () (+ @t387 1))
% 152.13/152.43  (define @t474 () (>= @t205 @t201))
% 152.13/152.43  (define @t475 () (+ @t201 1))
% 152.13/152.43  (define @t476 () (>= 0 @t201))
% 152.13/152.43  (define @t477 () (not @t281))
% 152.13/152.43  (define @t478 () (and @t282 @t477))
% 152.13/152.43  (define @t479 () (>= @t82 @t149))
% 152.13/152.43  (define @t480 () (+ @t149 1))
% 152.13/152.43  (define @t481 () (>= 0 @t149))
% 152.13/152.43  (define @t482 () (tptp.t2tb3 (@quantifiers_skolemize @t290 5)))
% 152.13/152.43  (define @t483 () (@quantifiers_skolemize @t290 9))
% 152.13/152.43  (define @t484 () (tptp.t2tb7 @t483))
% 152.13/152.43  (define @t485 () (tptp.good_data1 tptp.a @t339 @t484 @t482 @t293))
% 152.13/152.43  (define @t486 () (tptp.bucket1 @t339 @t291))
% 152.13/152.43  (define @t487 () (* -1 @t486))
% 152.13/152.43  (define @t488 () (+ @t300 @t487))
% 152.13/152.43  (define @t489 () (>= @t488 0))
% 152.13/152.43  (define @t490 () (not @t489))
% 152.13/152.43  (define @t491 () (>= @t486 0))
% 152.13/152.43  (define @t492 () (not @t491))
% 152.13/152.43  (define @t493 () (or @t492 @t490 @t485))
% 152.13/152.43  (define @t494 () (and @t493 @t305))
% 152.13/152.43  (define @t495 () (tptp.in_data1 tptp.a @t89 @t154 @t293))
% 152.13/152.43  (define @t496 () (tptp.bucket1 @t89 @t291))
% 152.13/152.43  (define @t497 () (= @t300 @t496))
% 152.13/152.43  (define @t498 () (>= (+ @t300 (* -1 @t496)) 1))
% 152.13/152.43  (define @t499 () (>= @t496 0))
% 152.13/152.43  (define @t500 () (forall @t167 (or (and @t499 @t498 (tptp.good_data1 tptp.a @t89 @t154 @t482 @t293)) (and (or (not @t499) (not @t498)) (or (and @t497 (= (or @t249 @t495) (= @t180 (tptp.tb2t4 (tptp.get @t128 tptp.key @t482 @t108))))) (and (not @t497) (not @t495)))))))
% 152.13/152.43  (define @t501 () (not @t500))
% 152.13/152.43  (define @t502 () (@quantifiers_skolemize @t290 6))
% 152.13/152.43  (define @t503 () (not (>= @t502 0)))
% 152.13/152.43  (define @t504 () (tptp.mk_array1 @t125 @t502 (tptp.t2tb2 (@quantifiers_skolemize @t290 7))))
% 152.13/152.43  (define @t505 () (not (forall @t167 (tptp.good_data1 tptp.a @t89 @t154 @t482 @t504))))
% 152.13/152.43  (define @t506 () (not (forall @t209 (or @t266 (>= (+ @t205 (* -1 @t502)) 0) (tptp.good_hash1 tptp.a @t504 @t205)))))
% 152.13/152.43  (define @t507 () (not (>= @t502 1)))
% 152.13/152.43  (define @t508 () (tptp.good_hash1 tptp.a @t293 @t192))
% 152.13/152.43  (define @t509 () (+ @t192 (* -2 @t291)))
% 152.13/152.43  (define @t510 () (>= @t509 1))
% 152.13/152.43  (define @t511 () (not (forall @t167 (or @t275 @t497))))
% 152.13/152.43  (define @t512 () (not (>= @t291 0)))
% 152.13/152.43  (define @t513 () (tptp.mk_array1 @t125 @t291 (tptp.t2tb2 (@quantifiers_skolemize @t290 1))))
% 152.13/152.43  (define @t514 () (not (forall @t167 (tptp.good_data1 tptp.a @t89 @t154 (tptp.t2tb3 (@quantifiers_skolemize @t290 2)) @t513))))
% 152.13/152.43  (define @t515 () (not (forall @t84 (or @t283 (>= (+ @t82 (* -1 @t291)) 0) (tptp.good_hash1 tptp.a @t513 @t82)))))
% 152.13/152.43  (define @t516 () (>= @t291 1))
% 152.13/152.43  (define @t517 () (not @t516))
% 152.13/152.43  (define @t518 () (or @t517 @t515 @t514 @t512 @t511 (not (forall @t196 (or @t273 @t510 @t508))) @t507 @t506 @t505 @t503 @t501 @t494))
% 152.13/152.43  (define @t519 () (not @t518))
% 152.13/152.43  (define @t520 () (not @t290))
% 152.13/152.43  (define @t521 () (+ @t268 @t292))
% 152.13/152.43  (define @t522 () (+ @t509 1))
% 152.13/152.43  (define @t523 () (+ @t292 @t268))
% 152.13/152.43  (define @t524 () (>= @t523 0))
% 152.13/152.43  (define @t525 () (not @t524))
% 152.13/152.43  (define @t526 () (or @t273 @t525 @t508))
% 152.13/152.43  (define @t527 () (forall @t196 @t526))
% 152.13/152.43  (define @t528 () (not @t527))
% 152.13/152.43  (define @t529 () (or @t517 @t515 @t514 @t512 @t511 @t528 @t507 @t506 @t505 @t503 @t501 @t494))
% 152.13/152.43  (define @t530 () (not @t529))
% 152.13/152.43  (define @t531 () (@list true))
% 152.13/152.43  (define @t532 () (@list @t518))
% 152.13/152.43  (define @t533 () (>= (+ @t291 @t487) 1))
% 152.13/152.43  (define @t534 () (and @t303 @t533))
% 152.13/152.43  (define @t535 () (or @t517 @t534))
% 152.13/152.43  (define @t536 () (@list false false))
% 152.13/152.43  (define @t537 () (@list false))
% 152.13/152.43  (define @t538 () (= @t300 @t299))
% 152.13/152.43  (define @t539 () (not @t538))
% 152.13/152.43  (define @t540 () (and @t539 @t298))
% 152.13/152.43  (define @t541 () (not @t302))
% 152.13/152.43  (define @t542 () (not @t541))
% 152.13/152.43  (define @t543 () (= @t301 0))
% 152.13/152.43  (define @t544 () (* -1 0))
% 152.13/152.43  (define @t545 () (+ @t544 -1))
% 152.13/152.43  (define @t546 () (+ 0 0))
% 152.13/152.43  (define @t547 () (* 0 @t300))
% 152.13/152.43  (define @t548 () (= @t547 0))
% 152.13/152.43  (define @t549 () (* 0 @t299))
% 152.13/152.43  (define @t550 () (= @t549 0))
% 152.13/152.43  (define @t551 () (+ @t549 @t547))
% 152.13/152.43  (define @t552 () (+ (* -1 @t301) @t301))
% 152.13/152.43  (define @t553 () (= @t552 @t551))
% 152.13/152.43  (define @t554 () (< -1 0))
% 152.13/152.43  (define @t555 () (>= @t301 1))
% 152.13/152.43  (define @t556 () (not @t555))
% 152.13/152.43  (define @t557 () (* -1 1))
% 152.13/152.43  (define @t558 () (+ @t557 -1))
% 152.13/152.43  (define @t559 () (tptp.t2tb1 @t296))
% 152.13/152.43  (define @t560 () (and @t538 (= (or (tptp.mem @t124 (tptp.tuple21 tptp.key tptp.a @t559 @t295) @t248) @t297) (= (tptp.tb2t4 (tptp.some tptp.a @t295)) (tptp.tb2t4 (tptp.get @t128 tptp.key @t482 @t559))))))
% 152.13/152.43  (define @t561 () (and @t303 @t555 (tptp.good_data1 tptp.a @t296 @t295 @t482 @t293)))
% 152.13/152.43  (define @t562 () (or @t560 @t540))
% 152.13/152.43  (define @t563 () (and (or (not @t303) @t556) @t562))
% 152.13/152.43  (define @t564 () (or @t561 @t563))
% 152.13/152.43  (define @t565 () (@list true false))
% 152.13/152.43  (define @t566 () (@list @t493))
% 152.13/152.43  (define @t567 () (>= @t488 1))
% 152.13/152.43  (define @t568 () (and @t491 @t567 @t485))
% 152.13/152.43  (define @t569 () (tptp.t2tb1 @t339))
% 152.13/152.43  (define @t570 () (tptp.get @t128 tptp.key @t482 @t569))
% 152.13/152.43  (define @t571 () (tptp.some tptp.a @t484))
% 152.13/152.43  (define @t572 () (= @t571 @t570))
% 152.13/152.43  (define @t573 () (tptp.in_data1 tptp.a @t339 @t484 @t293))
% 152.13/152.43  (define @t574 () (= @t573 @t572))
% 152.13/152.43  (define @t575 () (= @t485 @t574))
% 152.13/152.43  (define @t576 () (not @t573))
% 152.13/152.43  (define @t577 () (= @t300 @t486))
% 152.13/152.43  (define @t578 () (not @t577))
% 152.13/152.43  (define @t579 () (and @t578 @t576))
% 152.13/152.43  (define @t580 () (tptp.tb2t4 @t570))
% 152.13/152.43  (define @t581 () (tptp.tb2t4 @t571))
% 152.13/152.43  (define @t582 () (= @t581 @t580))
% 152.13/152.43  (define @t583 () (tptp.tuple21 tptp.key tptp.a @t569 @t484))
% 152.13/152.43  (define @t584 () (tptp.mem @t124 @t583 @t248))
% 152.13/152.43  (define @t585 () (or @t584 @t573))
% 152.13/152.43  (define @t586 () (= @t585 @t582))
% 152.13/152.43  (define @t587 () (and @t577 @t586))
% 152.13/152.43  (define @t588 () (or @t587 @t579))
% 152.13/152.43  (define @t589 () (not @t567))
% 152.13/152.43  (define @t590 () (or @t492 @t589))
% 152.13/152.43  (define @t591 () (and @t590 @t588))
% 152.13/152.43  (define @t592 () (or @t568 @t591))
% 152.13/152.43  (define @t593 () (not @t591))
% 152.13/152.43  (define @t594 () (and @t491 @t533))
% 152.13/152.43  (define @t595 () (or @t517 @t594))
% 152.13/152.43  (define @t596 () (and @t489 @t589))
% 152.13/152.43  (define @t597 () (not @t586))
% 152.13/152.43  (define @t598 () (not @t585))
% 152.13/152.43  (define @t599 () (= @t85 @t133))
% 152.13/152.43  (define @t600 () (tptp.t2tb4 @t581))
% 152.13/152.43  (define @t601 () (= @t571 @t600))
% 152.13/152.43  (define @t602 () (tptp.sort1 @t128 @t571))
% 152.13/152.43  (define @t603 () (not @t602))
% 152.13/152.43  (define @t604 () (or @t603 @t601))
% 152.13/152.43  (define @t605 () (= @t570 (tptp.t2tb4 @t580)))
% 152.13/152.43  (define @t606 () (tptp.sort1 @t128 @t570))
% 152.13/152.43  (define @t607 () (not @t606))
% 152.13/152.43  (define @t608 () (or @t607 @t605))
% 152.13/152.43  (define @t609 () (and @t582 @t601 @t605))
% 152.13/152.43  (define @t610 () (not @t582))
% 152.13/152.43  (define @t611 () (@var "BOUND_VARIABLE_8581" tptp.uni))
% 152.13/152.43  (define @t612 () (tptp.mem @t1 @t34 @t611))
% 152.13/152.43  (define @t613 () (@var "BOUND_VARIABLE_8579" tptp.uni))
% 152.13/152.43  (define @t614 () (or (= @t613 @t34) @t612))
% 152.13/152.43  (define @t615 () (tptp.mem @t1 @t34 (tptp.cons @t1 @t613 @t611)))
% 152.13/152.43  (define @t616 () (= @t615 @t614))
% 152.13/152.43  (define @t617 () (not (tptp.sort1 @t1 @t613)))
% 152.13/152.43  (define @t618 () (or @t617 @t616))
% 152.13/152.43  (define @t619 () (and @t61 @t618))
% 152.13/152.43  (define @t620 () (not @t63))
% 152.13/152.43  (define @t621 () (or @t620 @t619))
% 152.13/152.43  (define @t622 () (@list @t1 @t34 @t613 @t611))
% 152.13/152.43  (define @t623 () (forall @t622 @t621))
% 152.13/152.43  (define @t624 () (@list @t613 @t611))
% 152.13/152.43  (define @t625 () (forall @t624 @t621))
% 152.13/152.43  (define @t626 () (forall @t624 @t618))
% 152.13/152.43  (define @t627 () (forall @t624 @t61))
% 152.13/152.43  (define @t628 () (and @t627 @t626))
% 152.13/152.43  (define @t629 () (forall @t624 @t619))
% 152.13/152.43  (define @t630 () (or @t620 @t629))
% 152.13/152.43  (define @t631 () (= @t55 (or (= @t4 @t34) @t53)))
% 152.13/152.43  (define @t632 () (and @t61 (forall @t59 (or (not @t57) @t631))))
% 152.13/152.43  (define @t633 () (tptp.mem @t124 @t583 @t169))
% 152.13/152.43  (define @t634 () (or (= @t583 @t169) @t633))
% 152.13/152.43  (define @t635 () (tptp.mem @t124 @t583 (tptp.cons @t124 @t169 @t169)))
% 152.13/152.43  (define @t636 () (= @t635 @t634))
% 152.13/152.43  (define @t637 () (not (tptp.sort1 @t124 @t169)))
% 152.13/152.43  (define @t638 () (or @t637 @t636))
% 152.13/152.43  (define @t639 () (not @t633))
% 152.13/152.43  (define @t640 () (and @t639 @t638))
% 152.13/152.43  (define @t641 () (tptp.sort1 @t124 @t583))
% 152.13/152.43  (define @t642 () (not @t641))
% 152.13/152.43  (define @t643 () (or @t642 @t640))
% 152.13/152.43  (define @t644 () (forall @t622 (or @t620 (and @t61 (or @t617 (= @t615 (or (= @t34 @t613) @t612)))))))
% 152.13/152.43  (define @t645 () (and @t639 (or @t637 (= @t635 (or (= @t169 @t583) @t633)))))
% 152.13/152.43  (define @t646 () (or @t642 @t645))
% 152.13/152.43  (assume @p1 (forall @t2 (tptp.sort1 @t1 (tptp.witness1 @t1))))
% 152.13/152.43  (assume @p2 (forall (@list @t1 @t5 @t4 @t3) (tptp.sort1 @t1 (tptp.match_bool1 @t1 @t5 @t4 @t3))))
% 152.13/152.43  (assume @p3 (forall @t8 (=> (tptp.sort1 @t1 @t6) (= (tptp.match_bool1 @t1 tptp.true1 @t6 @t7) @t6))))
% 152.13/152.43  (assume @p4 (forall @t8 (=> (tptp.sort1 @t1 @t7) (= (tptp.match_bool1 @t1 tptp.false1 @t6 @t7) @t7))))
% 152.13/152.43  (assume @p5 (not (= tptp.true1 tptp.false1)))
% 152.13/152.43  (assume @p6 (forall (@list @t9) (or (= @t9 tptp.true1) (= @t9 tptp.false1))))
% 152.13/152.43  (assume @p7 (forall (@list @t10) (= @t10 tptp.tuple03)))
% 152.13/152.43  (assume @p8 (forall @t16 (=> @t15 (=> @t14 (<= (* @t13 @t11) (* @t12 @t11))))))
% 152.13/152.43  (assume @p9 (forall @t19 (and (=> @t18 (= @t17 @t13)) (=> (not @t18) (= @t17 (- @t13))))))
% 152.13/152.43  (assume @p10 (forall @t20 (= (<= @t17 @t12) (and (<= (- @t12) @t13) @t15))))
% 152.13/152.43  (assume @p11 (forall @t19 (<= 0 @t17)))
% 152.13/152.43  (assume @p12 (forall @t20 (=> @t23 (= @t13 (+ (* @t12 @t22) @t21)))))
% 152.13/152.43  (assume @p13 (forall @t20 (=> @t26 (and @t24 (<= @t22 @t13)))))
% 152.13/152.43  (assume @p14 (forall @t20 (=> @t23 (and (< (- @t27) @t21) (< @t21 @t27)))))
% 152.13/152.43  (assume @p15 (forall @t20 (=> @t26 @t24)))
% 152.13/152.43  (assume @p16 (forall @t20 (=> (and @t28 @t25) (<= @t22 0))))
% 152.13/152.43  (assume @p17 (forall @t20 (=> (and @t18 @t23) (<= 0 @t21))))
% 152.13/152.43  (assume @p18 (forall @t20 (=> (and @t28 @t23) (<= @t21 0))))
% 152.13/152.43  (assume @p19 (forall @t20 (=> @t23 (<= (tptp.abs1 (* @t22 @t12)) @t17))))
% 152.13/152.43  (assume @p20 (forall @t19 (= (tptp.div1 @t13 1) @t13)))
% 152.13/152.43  (assume @p21 (forall @t19 (= (tptp.mod1 @t13 1) 0)))
% 152.13/152.43  (assume @p22 (forall @t20 (=> @t29 (= @t22 0))))
% 152.13/152.43  (assume @p23 (forall @t20 (=> @t29 (= @t21 @t13))))
% 152.13/152.43  (assume @p24 (forall @t16 (=> @t31 (= (tptp.div1 @t30 @t13) (+ @t12 (tptp.div1 @t11 @t13))))))
% 152.13/152.43  (assume @p25 (forall @t16 (=> @t31 (= (tptp.mod1 @t30 @t13) (tptp.mod1 @t11 @t13)))))
% 152.13/152.43  (assume @p26 (forall @t2 (tptp.sort1 @t33 @t32)))
% 152.13/152.43  (assume @p27 (forall @t35 (tptp.sort1 @t33 (tptp.some @t1 @t34))))
% 152.13/152.43  (assume @p28 (forall @t37 (tptp.sort1 @t36 (tptp.match_option1 @t36 @t1 @t34 @t4 @t3))))
% 152.13/152.43  (assume @p29 (forall @t39 (=> @t38 (= (tptp.match_option1 @t36 @t1 @t32 @t6 @t7) @t6))))
% 152.13/152.43  (assume @p30 (forall (@list @t1 @t36 @t6 @t7 @t40) (=> @t42 (= (tptp.match_option1 @t36 @t1 @t41 @t6 @t7) @t7))))
% 152.13/152.43  (assume @p31 (forall (@list @t1 @t43) (not (= @t32 @t44))))
% 152.13/152.43  (assume @p32 (forall @t35 (tptp.sort1 @t1 (tptp.some_proj_11 @t1 @t34))))
% 152.13/152.43  (assume @p33 (forall @t46 (=> @t45 (= (tptp.some_proj_11 @t1 @t41) @t40))))
% 152.13/152.43  (assume @p34 (forall @t46 (=> (tptp.sort1 @t33 @t40) (or (= @t40 @t32) (= @t40 (tptp.some @t1 (tptp.some_proj_11 @t1 @t40)))))))
% 152.13/152.43  (assume @p35 (forall @t2 (tptp.sort1 @t48 @t47)))
% 152.13/152.43  (assume @p36 (forall (@list @t1 @t34 @t4) (tptp.sort1 @t48 (tptp.cons @t1 @t34 @t4))))
% 152.13/152.43  (assume @p37 (forall @t37 (tptp.sort1 @t36 (tptp.match_list1 @t36 @t1 @t34 @t4 @t3))))
% 152.13/152.43  (assume @p38 (forall @t39 (=> @t38 (= (tptp.match_list1 @t36 @t1 @t47 @t6 @t7) @t6))))
% 152.13/152.43  (assume @p39 (forall (@list @t1 @t36 @t6 @t7 @t40 @t49) (=> @t42 (= (tptp.match_list1 @t36 @t1 @t50 @t6 @t7) @t7))))
% 152.13/152.43  (assume @p40 (forall (@list @t1 @t43 @t51) (not (= @t47 (tptp.cons @t1 @t43 @t51)))))
% 152.13/152.43  (assume @p41 (forall @t35 (tptp.sort1 @t1 (tptp.cons_proj_11 @t1 @t34))))
% 152.13/152.43  (assume @p42 (forall @t52 (=> @t45 (= (tptp.cons_proj_11 @t1 @t50) @t40))))
% 152.13/152.43  (assume @p43 (forall @t35 (tptp.sort1 @t48 (tptp.cons_proj_21 @t1 @t34))))
% 152.13/152.43  (assume @p44 (forall @t52 (= (tptp.cons_proj_21 @t1 @t50) @t49)))
% 152.13/152.43  (assume @p45 (forall @t46 (or (= @t40 @t47) (= @t40 (tptp.cons @t1 (tptp.cons_proj_11 @t1 @t40) (tptp.cons_proj_21 @t1 @t40))))))
% 152.13/152.43  (assume @p46 @t65)
% 152.13/152.43  (assume @p47 (forall (@list @t1 @t66 @t34 @t4) (tptp.sort1 @t66 (tptp.get @t66 @t1 @t34 @t4))))
% 152.13/152.43  (assume @p48 (forall (@list @t1 @t66 @t34 @t4 @t3) (tptp.sort1 @t67 (tptp.set @t66 @t1 @t34 @t4 @t3))))
% 152.13/152.43  (assume @p49 (forall (@list @t1 @t66 @t71 @t70 @t69 @t68) (=> @t74 (=> @t73 (= @t72 @t68)))))
% 152.13/152.43  (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))))))))
% 152.13/152.43  (assume @p51 (forall (@list @t1 @t66 @t34) (tptp.sort1 @t67 (tptp.const @t66 @t1 @t34))))
% 152.13/152.43  (assume @p52 (forall (@list @t1 @t66 @t68 @t70) (=> @t74 (= (tptp.get @t66 @t1 (tptp.const @t66 @t1 @t68) @t70) @t68))))
% 152.13/152.43  (assume @p53 (forall @t76 (tptp.sort1 @t75 (tptp.mk_array1 @t1 @t13 @t4))))
% 152.13/152.43  (assume @p54 (forall @t79 (= (tptp.length1 @t1 @t78) @t77)))
% 152.13/152.43  (assume @p55 (forall @t35 (tptp.sort1 @t80 (tptp.elts @t1 @t34))))
% 152.13/152.43  (assume @p56 (forall @t79 (=> (tptp.sort1 @t80 @t49) (= (tptp.elts @t1 @t78) @t49))))
% 152.13/152.43  (assume @p57 (forall @t46 (= @t40 (tptp.mk_array1 @t1 (tptp.length1 @t1 @t40) (tptp.elts @t1 @t40)))))
% 152.13/152.43  (assume @p58 (forall (@list @t1 @t34 @t81) (tptp.sort1 @t1 (tptp.get2 @t1 @t34 @t81))))
% 152.13/152.43  (assume @p59 (forall @t19 (tptp.sort1 tptp.int (tptp.t2tb @t13))))
% 152.13/152.43  (assume @p60 (forall @t84 (= (tptp.tb2t @t83) @t82)))
% 152.13/152.43  (assume @p61 (forall @t86 (= (tptp.t2tb (tptp.tb2t @t85)) @t85)))
% 152.13/152.43  (assume @p62 (forall (@list @t1 @t70 @t82) (= (tptp.get2 @t1 @t70 @t82) (tptp.get @t1 tptp.int @t87 @t83))))
% 152.13/152.43  (assume @p63 (forall (@list @t1 @t34 @t81 @t3) (tptp.sort1 @t75 (tptp.set2 @t1 @t34 @t81 @t3))))
% 152.13/152.43  (assume @p64 (forall (@list @t1 @t70 @t82 @t43) (= (tptp.set2 @t1 @t70 @t82 @t43) (tptp.mk_array1 @t1 (tptp.length1 @t1 @t70) (tptp.set @t1 tptp.int @t87 @t83 @t43)))))
% 152.13/152.43  (assume @p65 (forall @t76 (tptp.sort1 @t75 (tptp.make1 @t1 @t13 @t4))))
% 152.13/152.43  (assume @p66 (forall (@list @t1 @t88 @t43) (= (tptp.make1 @t1 @t88 @t43) (tptp.mk_array1 @t1 @t88 (tptp.const @t1 tptp.int @t43)))))
% 152.13/152.43  (assume @p67 (forall @t91 (<= 0 @t90)))
% 152.13/152.43  (assume @p68 (forall (@list @t89 @t88) (= @t92 (tptp.mod1 @t90 @t88))))
% 152.13/152.43  (assume @p69 @t97)
% 152.13/152.43  (assume @p70 (forall (@list @t1 @t36 @t34 @t4) (tptp.sort1 @t98 (tptp.tuple21 @t36 @t1 @t34 @t4))))
% 152.13/152.43  (assume @p71 (forall @t99 (tptp.sort1 @t36 (tptp.tuple2_proj_11 @t36 @t1 @t34))))
% 152.13/152.43  (assume @p72 (forall @t101 (=> (tptp.sort1 @t36 @t40) (= (tptp.tuple2_proj_11 @t36 @t1 @t100) @t40))))
% 152.13/152.43  (assume @p73 (forall @t99 (tptp.sort1 @t1 (tptp.tuple2_proj_21 @t36 @t1 @t34))))
% 152.13/152.43  (assume @p74 (forall @t101 (=> (tptp.sort1 @t1 @t49) (= (tptp.tuple2_proj_21 @t36 @t1 @t100) @t49))))
% 152.13/152.43  (assume @p75 (forall (@list @t1 @t36 @t40) (=> (tptp.sort1 @t98 @t40) (= @t40 (tptp.tuple21 @t36 @t1 (tptp.tuple2_proj_11 @t36 @t1 @t40) (tptp.tuple2_proj_21 @t36 @t1 @t40))))))
% 152.13/152.43  (assume @p76 (forall (@list @t102) (tptp.sort1 tptp.key (tptp.t2tb1 @t102))))
% 152.13/152.43  (assume @p77 (forall (@list @t103) (= (tptp.tb2t1 (tptp.t2tb1 @t103)) @t103)))
% 152.13/152.43  (assume @p78 (forall @t86 (=> (tptp.sort1 tptp.key @t85) (= (tptp.t2tb1 (tptp.tb2t1 @t85)) @t85))))
% 152.13/152.43  (assume @p79 (forall (@list @t1 @t89 @t43 @t104) (= @t110 (tptp.mem @t105 @t109 (tptp.get2 @t106 @t104 @t107)))))
% 152.13/152.43  (assume @p80 @t115)
% 152.13/152.43  (assume @p81 (forall (@list @t1 @t104 @t82) (and (=> @t116 (forall @t118 @t117)) (=> (forall @t118 (=> (tptp.sort1 @t1 @t43) @t117)) @t116))))
% 152.13/152.43  (assume @p82 (forall (@list @t1 @t13 @t4 @t3) (tptp.sort1 (tptp.t @t1) (tptp.mk_t1 @t1 @t13 @t4 @t3))))
% 152.13/152.43  (assume @p83 (forall @t121 (= (tptp.size1 @t1 @t120) @t77)))
% 152.13/152.43  (assume @p84 (forall @t35 (tptp.sort1 (tptp.array @t106) (tptp.data @t1 @t34))))
% 152.13/152.43  (assume @p85 (forall @t121 (= (tptp.data @t1 @t120) @t49)))
% 152.13/152.43  (assume @p86 (forall @t35 (tptp.sort1 @t122 (tptp.view @t1 @t34))))
% 152.13/152.43  (assume @p87 (forall @t121 (=> (tptp.sort1 @t122 @t119) (= (tptp.view @t1 @t120) @t119))))
% 152.13/152.43  (assume @p88 (forall @t46 (= @t40 (tptp.mk_t1 @t1 (tptp.size1 @t1 @t40) (tptp.data @t1 @t40) (tptp.view @t1 @t40)))))
% 152.13/152.43  (assume @p89 (forall (@list @t123) (tptp.sort1 (tptp.map tptp.int @t125) (tptp.t2tb2 @t123))))
% 152.13/152.43  (assume @p90 (forall (@list @t126) (= (tptp.tb2t2 (tptp.t2tb2 @t126)) @t126)))
% 152.13/152.43  (assume @p91 (forall @t86 (= (tptp.t2tb2 (tptp.tb2t2 @t85)) @t85)))
% 152.13/152.43  (assume @p92 (forall (@list @t127) (tptp.sort1 @t129 (tptp.t2tb3 @t127))))
% 152.13/152.43  (assume @p93 (forall (@list @t130) (= (tptp.tb2t3 (tptp.t2tb3 @t130)) @t130)))
% 152.13/152.43  (assume @p94 (forall @t86 (=> (tptp.sort1 @t129 @t85) (= (tptp.t2tb3 (tptp.tb2t3 @t85)) @t85))))
% 152.13/152.43  (assume @p95 (forall (@list @t131) (tptp.sort1 @t128 (tptp.t2tb4 @t131))))
% 152.13/152.43  (assume @p96 (forall (@list @t132) (= (tptp.tb2t4 (tptp.t2tb4 @t132)) @t132)))
% 152.13/152.43  (assume @p97 @t136)
% 152.13/152.43  (assume @p98 (forall (@list @t137) (tptp.sort1 (tptp.array @t125) (tptp.t2tb5 @t137))))
% 152.13/152.43  (assume @p99 (forall (@list @t138) (= (tptp.tb2t5 (tptp.t2tb5 @t138)) @t138)))
% 152.13/152.43  (assume @p100 (forall @t86 (= (tptp.t2tb5 (tptp.tb2t5 @t85)) @t85)))
% 152.13/152.43  (assume @p101 (forall (@list @t139) (tptp.sort1 @t125 (tptp.t2tb6 @t139))))
% 152.13/152.43  (assume @p102 (forall (@list @t140) (= (tptp.tb2t6 (tptp.t2tb6 @t140)) @t140)))
% 152.13/152.43  (assume @p103 @t142)
% 152.13/152.43  (assume @p104 (forall (@list @t143) (tptp.sort1 @t124 (tptp.t2tb8 @t143))))
% 152.13/152.43  (assume @p105 (forall (@list @t144) (= (tptp.tb2t8 (tptp.t2tb8 @t144)) @t144)))
% 152.13/152.43  (assume @p106 (forall @t86 (=> (tptp.sort1 @t124 @t85) (= (tptp.t2tb8 (tptp.tb2t8 @t85)) @t85))))
% 152.13/152.43  (assume @p107 (forall (@list @t145) (tptp.sort1 tptp.a (tptp.t2tb7 @t145))))
% 152.13/152.43  (assume @p108 (forall (@list @t146) (= (tptp.tb2t7 (tptp.t2tb7 @t146)) @t146)))
% 152.13/152.43  (assume @p109 (forall @t86 (=> (tptp.sort1 tptp.a @t85) (= (tptp.t2tb7 (tptp.tb2t7 @t85)) @t85))))
% 152.13/152.43  (assume @p110 @t229)
% 152.13/152.43  (assume @p111 true)
% 152.13/152.43  (step @p112 :rule cnf_or_neg :args (@t305 0))
% 152.13/152.43  (step @p113 :rule bool-double-not-elim :args (@t297))
% 152.13/152.43  (step @p114 :rule refl :args (@t305))
% 152.13/152.43  (step @p115 :rule nary_cong :premises (@p114 @p113) :args ((or @t305 (not @t298))))
% 152.13/152.43  (step @p116 :rule cnf_or_neg :args (@t305 1))
% 152.13/152.43  (step @p117 :rule eq_resolve :premises (@p116 @p115))
% 152.13/152.43  (step @p118 :rule reordering :premises (@p117) :args ((or @t297 @t305)))
% 152.13/152.43  (step @p119 :rule quant-merge-prenex :args ((= (forall @t96 @t315) (forall (@list @t88 @t308 @t306) @t313))))
% 152.13/152.43  (step @p120 :rule alpha_equiv :args (@t316 (@list @t306) @t318))
% 152.13/152.43  (step @p121 :rule quant-unused-vars :args ((= @t319 @t316)))
% 152.13/152.43  (step @p122 :rule trans :premises (@p121 @p120))
% 152.13/152.43  (step @p123 :rule alpha_equiv :args (@t320 (@list @t308) @t322))
% 152.13/152.43  (step @p124 :rule quant-unused-vars :args ((= @t323 @t320)))
% 152.13/152.43  (step @p125 :rule trans :premises (@p124 @p123))
% 152.13/152.43  (step @p126 :rule nary_cong :premises (@p125 @p122) :args (@t324))
% 152.13/152.43  (step @p127 :rule quant-miniscope-and :args ((= @t325 @t324)))
% 152.13/152.43  (step @p128 :rule trans :premises (@p127 @p126))
% 152.13/152.43  (step @p129 :rule refl :args (@t312))
% 152.13/152.43  (step @p130 :rule nary_cong :premises (@p129 @p128) :args (@t326))
% 152.13/152.43  (step @p131 :rule quant-miniscope-or :args ((= @t315 @t326)))
% 152.13/152.43  (step @p132 :rule trans :premises (@p131 @p130))
% 152.13/152.43  (step @p133 :rule symm :premises (@p132))
% 152.13/152.43  (step @p134 :rule cong :premises (@p133) :args ((forall @t96 (or @t312 @t327))))
% 152.13/152.43  (step @p135 :rule trans :premises (@p134 @p119))
% 152.13/152.43  (step @p136 :rule bool-impl-elim :args (@t311 @t327))
% 152.13/152.43  (step @p137 :rule cong :premises (@p136) :args ((forall @t96 (=> @t311 @t327))))
% 152.13/152.43  (step @p138 :rule trans :premises (@p137 @p135))
% 152.13/152.43  (step @p139 :rule alpha_equiv :args (@t330 @t331 @t318))
% 152.13/152.43  (step @p140 :rule alpha_equiv :args (@t333 @t331 @t322))
% 152.13/152.43  (step @p141 :rule nary_cong :premises (@p140 @p139) :args (@t334))
% 152.13/152.43  (step @p142 :rule quant-miniscope-and :args ((= (forall @t91 (and @t332 @t329)) @t334)))
% 152.13/152.43  (step @p143 :rule trans :premises (@p142 @p141))
% 152.13/152.43  (step @p144 :rule bool-double-not-elim :args (@t329))
% 152.13/152.43  (step @p145 :rule arith_poly_norm :args ((= (* -1 (- 1 @t335)) (* -1 (- @t92 @t88)))))
% 152.13/152.43  (step @p146 :rule arith_poly_norm_rel :premises (@p145) :args ((= (>= 1 @t335) @t336)))
% 152.13/152.43  (step @p147 :rule arith-geq-tighten :args (@t328 1))
% 152.13/152.43  (step @p148 :rule trans :premises (@p147 @p146))
% 152.13/152.43  (step @p149 :rule symm :premises (@p148))
% 152.13/152.43  (step @p150 :rule cong :premises (@p149) :args ((not @t336)))
% 152.13/152.43  (step @p151 :rule trans :premises (@p150 @p144))
% 152.13/152.43  (step @p152 :rule arith-elim-lt :args (@t92 @t88))
% 152.13/152.43  (step @p153 :rule trans :premises (@p152 @p151))
% 152.13/152.43  (step @p154 :rule arith-elim-leq :args (0 @t92))
% 152.13/152.43  (step @p155 :rule nary_cong :premises (@p154 @p153) :args (@t93))
% 152.13/152.43  (step @p156 :rule cong :premises (@p155) :args (@t94))
% 152.13/152.43  (step @p157 :rule trans :premises (@p156 @p143))
% 152.13/152.43  (step @p158 :rule bool-double-not-elim :args (@t311))
% 152.13/152.43  (step @p159 :rule arith_poly_norm :args ((= (* -1 (- 1 @t337)) (* -1 (- 0 @t88)))))
% 152.13/152.43  (step @p160 :rule arith_poly_norm_rel :premises (@p159) :args ((= (>= 1 @t337) @t338)))
% 152.13/152.43  (step @p161 :rule arith-geq-tighten :args (@t88 1))
% 152.13/152.43  (step @p162 :rule trans :premises (@p161 @p160))
% 152.13/152.43  (step @p163 :rule symm :premises (@p162))
% 152.13/152.43  (step @p164 :rule cong :premises (@p163) :args ((not @t338)))
% 152.13/152.43  (step @p165 :rule trans :premises (@p164 @p158))
% 152.13/152.43  (step @p166 :rule arith-elim-lt :args (0 @t88))
% 152.13/152.43  (step @p167 :rule trans :premises (@p166 @p165))
% 152.13/152.43  (step @p168 :rule cong :premises (@p167 @p157) :args (@t95))
% 152.13/152.43  (step @p169 :rule cong :premises (@p168) :args (@t97))
% 152.13/152.43  (step @p170 :rule trans :premises (@p169 @p138))
% 152.13/152.43  (step @p171 :rule eq_resolve :premises (@p69 @p170))
% 152.13/152.43  (step @p172 :rule instantiate :premises (@p171) :args ((@list @t291 @t296 @t339)))
% 152.13/152.43  (step @p173 :rule refl :args (@t242))
% 152.13/152.43  (step @p174 :rule refl :args (@t245))
% 152.13/152.43  (step @p175 :rule eq-symm :args (@t247 @t250))
% 152.13/152.43  (step @p176 :rule refl :args (@t250))
% 152.13/152.43  (step @p177 :rule eq-symm :args (@t246 @t180))
% 152.13/152.43  (step @p178 :rule cong :premises (@p177 @p176) :args (@t340))
% 152.13/152.43  (step @p179 :rule trans :premises (@p178 @p175))
% 152.13/152.43  (step @p180 :rule refl :args (@t244))
% 152.13/152.43  (step @p181 :rule nary_cong :premises (@p180 @p179) :args (@t341))
% 152.13/152.43  (step @p182 :rule nary_cong :premises (@p181 @p174) :args (@t342))
% 152.13/152.43  (step @p183 :rule refl :args (@t255))
% 152.13/152.43  (step @p184 :rule nary_cong :premises (@p183 @p182) :args (@t343))
% 152.13/152.43  (step @p185 :rule refl :args (@t256))
% 152.13/152.43  (step @p186 :rule nary_cong :premises (@p185 @p184) :args (@t344))
% 152.13/152.43  (step @p187 :rule cong :premises (@p186) :args (@t345))
% 152.13/152.43  (step @p188 :rule cong :premises (@p187) :args (@t346))
% 152.13/152.43  (step @p189 :rule refl :args (@t258))
% 152.13/152.43  (step @p190 :rule refl :args (@t261))
% 152.13/152.43  (step @p191 :rule refl :args (@t262))
% 152.13/152.43  (step @p192 :rule bool-double-not-elim :args (@t264))
% 152.13/152.43  (step @p193 :rule arith_poly_norm :args ((= (* -1 (- 0 @t349)) (* -1 (- @t348 1)))))
% 152.13/152.43  (step @p194 :rule arith_poly_norm_rel :premises (@p193) :args ((= (>= 0 @t349) (>= @t348 1))))
% 152.13/152.43  (step @p195 :rule arith-geq-tighten :args (@t263 0))
% 152.13/152.43  (step @p196 :rule trans :premises (@p195 @p194))
% 152.13/152.43  (step @p197 :rule symm :premises (@p196))
% 152.13/152.43  (step @p198 :rule refl :args (1))
% 152.13/152.43  (step @p199 :rule arith_poly_norm :args ((= @t350 @t348)))
% 152.13/152.43  (step @p200 :rule cong :premises (@p199 @p198) :args (@t351))
% 152.13/152.43  (step @p201 :rule trans :premises (@p200 @p197))
% 152.13/152.43  (step @p202 :rule cong :premises (@p201) :args (@t352))
% 152.13/152.43  (step @p203 :rule trans :premises (@p202 @p192))
% 152.13/152.43  (step @p204 :rule refl :args (@t266))
% 152.13/152.43  (step @p205 :rule nary_cong :premises (@p204 @p203 @p191) :args (@t353))
% 152.13/152.43  (step @p206 :rule cong :premises (@p205) :args (@t354))
% 152.13/152.43  (step @p207 :rule cong :premises (@p206) :args (@t355))
% 152.13/152.43  (step @p208 :rule refl :args (@t267))
% 152.13/152.43  (step @p209 :rule refl :args (@t274))
% 152.13/152.43  (step @p210 :rule refl :args (@t276))
% 152.13/152.43  (step @p211 :rule refl :args (@t278))
% 152.13/152.43  (step @p212 :rule refl :args (@t279))
% 152.13/152.43  (step @p213 :rule refl :args (@t286))
% 152.13/152.43  (step @p214 :rule refl :args (@t288))
% 152.13/152.43  (step @p215 :rule nary_cong :premises (@p214 @p213 @p212 @p211 @p210 @p209 @p208 @p207 @p190 @p189 @p188 @p173) :args (@t356))
% 152.13/152.43  (step @p216 :rule aci_norm :args ((= @t358 @t356)))
% 152.13/152.43  (step @p217 :rule trans :premises (@p216 @p215))
% 152.13/152.43  (step @p218 :rule cong :premises (@p217) :args (@t359))
% 152.13/152.43  (step @p219 :rule quant-merge-prenex :args ((= (forall @t227 @t361) @t359)))
% 152.13/152.43  (step @p220 :rule alpha_equiv :args (@t362 (@list @t236 @t230 @t237 @t257 @t259 @t240 @t239 @t234 @t233) (@list @t82 @t147 @t162 @t201 @t202 @t366 @t365 @t364 @t363)))
% 152.13/152.43  (step @p221 :rule refl :args (@t278))
% 152.13/152.43  (step @p222 :rule refl :args (@t279))
% 152.13/152.43  (step @p223 :rule refl :args (@t286))
% 152.13/152.43  (step @p224 :rule refl :args (@t288))
% 152.13/152.43  (step @p225 :rule nary_cong :premises (@p224 @p223 @p222 @p221 @p220) :args (@t367))
% 152.13/152.43  (step @p226 :rule quant-miniscope-or :args ((= @t361 @t367)))
% 152.13/152.43  (step @p227 :rule trans :premises (@p226 @p225))
% 152.13/152.43  (step @p228 :rule symm :premises (@p227))
% 152.13/152.43  (step @p229 :rule cong :premises (@p228) :args ((forall @t227 @t403)))
% 152.13/152.43  (step @p230 :rule trans :premises (@p229 @p219))
% 152.13/152.43  (step @p231 :rule trans :premises (@p230 @p218))
% 152.13/152.43  (step @p232 :rule aci_norm :args ((= (or @t405 @t404) @t403)))
% 152.13/152.43  (step @p233 :rule aci_norm :args ((= (or @t278 @t404) @t404)))
% 152.13/152.43  (step @p234 :rule bool-impl-elim :args (@t277 @t404))
% 152.13/152.43  (step @p235 :rule trans :premises (@p234 @p233))
% 152.13/152.43  (step @p236 :rule nary_cong :premises (@p221 @p235) :args ((or @t278 @t406)))
% 152.13/152.43  (step @p237 :rule trans :premises (@p236 @p233))
% 152.13/152.43  (step @p238 :rule bool-impl-elim :args (@t277 @t406))
% 152.13/152.43  (step @p239 :rule trans :premises (@p238 @p237))
% 152.13/152.43  (step @p240 :rule aci_norm :args ((= (or @t288 (or @t286 (or @t279 @t278))) @t405)))
% 152.13/152.43  (step @p241 :rule bool-and-de-morgan :args (@t220 @t277 true))
% 152.13/152.43  (step @p242 :rule nary_cong :premises (@p223 @p241) :args ((or @t286 (not (and @t220 @t277)))))
% 152.13/152.43  (step @p243 :rule bool-and-de-morgan :args (@t285 @t220 (and @t277)))
% 152.13/152.43  (step @p244 :rule trans :premises (@p243 @p242))
% 152.13/152.43  (step @p245 :rule nary_cong :premises (@p224 @p244) :args ((or @t288 (not (and @t285 @t220 @t277)))))
% 152.13/152.43  (step @p246 :rule bool-and-de-morgan :args (@t287 @t285 (and @t220 @t277)))
% 152.13/152.43  (step @p247 :rule trans :premises (@p246 @p245))
% 152.13/152.43  (step @p248 :rule trans :premises (@p247 @p240))
% 152.13/152.43  (step @p249 :rule nary_cong :premises (@p248 @p239) :args ((or (not @t408) @t407)))
% 152.13/152.43  (step @p250 :rule trans :premises (@p249 @p232))
% 152.13/152.43  (step @p251 :rule bool-impl-elim :args (@t408 @t407))
% 152.13/152.43  (step @p252 :rule trans :premises (@p251 @p250))
% 152.13/152.43  (step @p253 :rule cong :premises (@p252) :args ((forall @t227 (=> @t408 @t407))))
% 152.13/152.43  (step @p254 :rule trans :premises (@p253 @p231))
% 152.13/152.43  (step @p255 :rule aci_norm :args ((= (or @t399 @t398 @t394 @t392 @t386 @t385 @t383 false @t373) @t400)))
% 152.13/152.43  (step @p256 :rule refl :args (@t373))
% 152.13/152.43  (step @p257 :rule evaluate :args ((not true)))
% 152.13/152.43  (step @p258 :rule eq-refl :args (@t170))
% 152.13/152.43  (step @p259 :rule cong :premises (@p258) :args (@t409))
% 152.13/152.43  (step @p260 :rule trans :premises (@p259 @p257))
% 152.13/152.43  (step @p261 :rule refl :args (@t383))
% 152.13/152.43  (step @p262 :rule refl :args (@t385))
% 152.13/152.43  (step @p263 :rule refl :args (@t386))
% 152.13/152.43  (step @p264 :rule refl :args (@t392))
% 152.13/152.43  (step @p265 :rule refl :args (@t394))
% 152.13/152.43  (step @p266 :rule refl :args (@t398))
% 152.13/152.43  (step @p267 :rule refl :args (@t399))
% 152.13/152.43  (step @p268 :rule nary_cong :premises (@p267 @p266 @p265 @p264 @p263 @p262 @p261 @p260 @p256) :args (@t410))
% 152.13/152.43  (step @p269 :rule trans :premises (@p268 @p255))
% 152.13/152.43  (step @p270 :rule cong :premises (@p269) :args ((forall @t401 @t410)))
% 152.13/152.43  (step @p271 :rule quant-var-elim-eq :args ((= (forall @t418 @t417) @t410)))
% 152.13/152.43  (step @p272 :rule aci_norm :args ((= @t419 @t417)))
% 152.13/152.43  (step @p273 :rule cong :premises (@p272) :args (@t420))
% 152.13/152.43  (step @p274 :rule trans :premises (@p273 @p271))
% 152.13/152.43  (step @p275 :rule cong :premises (@p274) :args (@t421))
% 152.13/152.43  (step @p276 :rule quant-merge-prenex :args ((= @t421 @t422)))
% 152.13/152.43  (step @p277 :rule symm :premises (@p276))
% 152.13/152.43  (step @p278 :rule quant_var_reordering :args ((= @t423 @t422)))
% 152.13/152.43  (step @p279 :rule trans :premises (@p278 @p277 @p275))
% 152.13/152.43  (step @p280 :rule trans :premises (@p279 @p270))
% 152.13/152.43  (step @p281 :rule quant-merge-prenex :args ((= (forall @t213 @t425) @t423)))
% 152.13/152.43  (step @p282 :rule alpha_equiv :args (@t426 (@list @t364 @t363) @t429))
% 152.13/152.43  (step @p283 :rule quant-unused-vars :args ((= @t430 @t426)))
% 152.13/152.43  (step @p284 :rule trans :premises (@p283 @p282))
% 152.13/152.43  (step @p285 :rule alpha_equiv :args (@t431 (@list @t366 @t365) @t434))
% 152.13/152.43  (step @p286 :rule quant-unused-vars :args ((= @t435 @t431)))
% 152.13/152.43  (step @p287 :rule trans :premises (@p286 @p285))
% 152.13/152.43  (step @p288 :rule nary_cong :premises (@p287 @p284) :args (@t436))
% 152.13/152.43  (step @p289 :rule quant-miniscope-and :args ((= @t437 @t436)))
% 152.13/152.43  (step @p290 :rule trans :premises (@p289 @p288))
% 152.13/152.43  (step @p291 :rule refl :args (@t411))
% 152.13/152.43  (step @p292 :rule refl :args (@t414))
% 152.13/152.43  (step @p293 :rule refl :args (@t385))
% 152.13/152.43  (step @p294 :rule refl :args (@t386))
% 152.13/152.43  (step @p295 :rule refl :args (@t392))
% 152.13/152.43  (step @p296 :rule refl :args (@t394))
% 152.13/152.43  (step @p297 :rule refl :args (@t398))
% 152.13/152.43  (step @p298 :rule refl :args (@t416))
% 152.13/152.43  (step @p299 :rule nary_cong :premises (@p298 @p297 @p296 @p295 @p294 @p293 @p292 @p291 @p290) :args (@t438))
% 152.13/152.43  (step @p300 :rule quant-miniscope-or :args ((= @t425 @t438)))
% 152.13/152.43  (step @p301 :rule trans :premises (@p300 @p299))
% 152.13/152.43  (step @p302 :rule symm :premises (@p301))
% 152.13/152.43  (step @p303 :rule cong :premises (@p302) :args (@t443))
% 152.13/152.43  (step @p304 :rule trans :premises (@p303 @p281))
% 152.13/152.43  (step @p305 :rule trans :premises (@p304 @p280))
% 152.13/152.43  (step @p306 :rule nary_cong :premises (@p211 @p305) :args (@t444))
% 152.13/152.43  (step @p307 :rule quant-miniscope-or :args ((= (forall @t213 @t445) @t444)))
% 152.13/152.43  (step @p308 :rule aci_norm :args ((= @t446 @t445)))
% 152.13/152.43  (step @p309 :rule cong :premises (@p308) :args ((forall @t213 @t446)))
% 152.13/152.43  (step @p310 :rule trans :premises (@p309 @p307))
% 152.13/152.43  (step @p311 :rule trans :premises (@p310 @p306))
% 152.13/152.43  (step @p312 :rule aci_norm :args ((= (or @t447 (or @t411 @t441)) @t446)))
% 152.13/152.43  (step @p313 :rule bool-impl-elim :args (@t172 @t441))
% 152.13/152.43  (step @p314 :rule aci_norm :args ((= (or @t394 (or @t392 (or @t386 (or @t385 (or @t278 (or @t416 (or @t398 @t414))))))) @t447)))
% 152.13/152.43  (step @p315 :rule bool-and-de-morgan :args (@t397 @t413 true))
% 152.13/152.43  (step @p316 :rule nary_cong :premises (@p298 @p315) :args ((or @t416 (not (and @t397 @t413)))))
% 152.13/152.43  (step @p317 :rule bool-and-de-morgan :args (@t415 @t397 (and @t413)))
% 152.13/152.43  (step @p318 :rule trans :premises (@p317 @p316))
% 152.13/152.43  (step @p319 :rule nary_cong :premises (@p221 @p318) :args ((or @t278 (not (and @t415 @t397 @t413)))))
% 152.13/152.43  (step @p320 :rule bool-and-de-morgan :args (@t277 @t415 (and @t397 @t413)))
% 152.13/152.43  (step @p321 :rule trans :premises (@p320 @p319))
% 152.13/152.43  (step @p322 :rule nary_cong :premises (@p293 @p321) :args ((or @t385 (not (and @t277 @t415 @t397 @t413)))))
% 152.13/152.43  (step @p323 :rule bool-and-de-morgan :args (@t384 @t277 (and @t415 @t397 @t413)))
% 152.13/152.43  (step @p324 :rule trans :premises (@p323 @p322))
% 152.13/152.43  (step @p325 :rule nary_cong :premises (@p294 @p324) :args ((or @t386 (not (and @t384 @t277 @t415 @t397 @t413)))))
% 152.13/152.43  (step @p326 :rule bool-and-de-morgan :args (@t204 @t384 (and @t277 @t415 @t397 @t413)))
% 152.13/152.43  (step @p327 :rule trans :premises (@p326 @p325))
% 152.13/152.43  (step @p328 :rule nary_cong :premises (@p295 @p327) :args ((or @t392 (not (and @t204 @t384 @t277 @t415 @t397 @t413)))))
% 152.13/152.43  (step @p329 :rule bool-and-de-morgan :args (@t391 @t204 (and @t384 @t277 @t415 @t397 @t413)))
% 152.13/152.43  (step @p330 :rule trans :premises (@p329 @p328))
% 152.13/152.43  (step @p331 :rule nary_cong :premises (@p296 @p330) :args ((or @t394 (not (and @t391 @t204 @t384 @t277 @t415 @t397 @t413)))))
% 152.13/152.43  (step @p332 :rule bool-and-de-morgan :args (@t393 @t391 (and @t204 @t384 @t277 @t415 @t397 @t413)))
% 152.13/152.43  (step @p333 :rule trans :premises (@p332 @p331))
% 152.13/152.43  (step @p334 :rule trans :premises (@p333 @p314))
% 152.13/152.43  (step @p335 :rule nary_cong :premises (@p334 @p313) :args ((or (not @t449) @t448)))
% 152.13/152.43  (step @p336 :rule trans :premises (@p335 @p312))
% 152.13/152.43  (step @p337 :rule bool-impl-elim :args (@t449 @t448))
% 152.13/152.43  (step @p338 :rule trans :premises (@p337 @p336))
% 152.13/152.43  (step @p339 :rule cong :premises (@p338) :args ((forall @t213 (=> @t449 @t448))))
% 152.13/152.43  (step @p340 :rule trans :premises (@p339 @p311))
% 152.13/152.43  (step @p341 :rule alpha_equiv :args (@t453 @t454 @t429))
% 152.13/152.43  (step @p342 :rule alpha_equiv :args (@t457 @t454 @t434))
% 152.13/152.43  (step @p343 :rule nary_cong :premises (@p342 @p341) :args (@t458))
% 152.13/152.43  (step @p344 :rule quant-miniscope-and :args ((= (forall @t167 (and @t456 @t452)) @t458)))
% 152.13/152.43  (step @p345 :rule trans :premises (@p344 @p343))
% 152.13/152.43  (step @p346 :rule refl :args (@t375))
% 152.13/152.43  (step @p347 :rule bool-double-not-elim :args (@t451))
% 152.13/152.43  (step @p348 :rule nary_cong :premises (@p347 @p346) :args ((or (not @t459) @t375)))
% 152.13/152.43  (step @p349 :rule bool-impl-elim :args (@t459 @t375))
% 152.13/152.43  (step @p350 :rule trans :premises (@p349 @p348))
% 152.13/152.43  (step @p351 :rule aci_norm :args ((= (or (or @t254 @t455) @t381) @t456)))
% 152.13/152.43  (step @p352 :rule refl :args (@t381))
% 152.13/152.43  (step @p353 :rule bool-and-de-morgan :args (@t253 @t450 true))
% 152.13/152.43  (step @p354 :rule nary_cong :premises (@p353 @p352) :args ((or @t459 @t381)))
% 152.13/152.43  (step @p355 :rule trans :premises (@p354 @p351))
% 152.13/152.43  (step @p356 :rule bool-impl-elim :args (@t451 @t381))
% 152.13/152.43  (step @p357 :rule trans :premises (@p356 @p355))
% 152.13/152.43  (step @p358 :rule nary_cong :premises (@p357 @p350) :args (@t460))
% 152.13/152.43  (step @p359 :rule cong :premises (@p358) :args ((forall @t167 @t460)))
% 152.13/152.43  (step @p360 :rule trans :premises (@p359 @p345))
% 152.13/152.43  (step @p361 :rule refl :args (@t148))
% 152.13/152.43  (step @p362 :rule arith_poly_norm :args ((= @t151 @t231)))
% 152.13/152.43  (step @p363 :rule refl :args (@t125))
% 152.13/152.43  (step @p364 :rule cong :premises (@p363 @p362 @p361) :args (@t152))
% 152.13/152.43  (step @p365 :rule refl :args (@t154))
% 152.13/152.43  (step @p366 :rule refl :args (@t89))
% 152.13/152.43  (step @p367 :rule refl :args (tptp.a))
% 152.13/152.43  (step @p368 :rule cong :premises (@p367 @p366 @p365 @p364) :args (@t155))
% 152.13/152.43  (step @p369 :rule cong :premises (@p368) :args (@t156))
% 152.13/152.43  (step @p370 :rule arith_poly_norm :args ((= (* 1 @t461) (* 1 (- @t378 0)))))
% 152.13/152.43  (step @p371 :rule arith_poly_norm_rel :premises (@p370) :args ((= (>= @t82 @t157) @t450)))
% 152.13/152.43  (step @p372 :rule arith-elim-leq :args (@t157 @t82))
% 152.13/152.43  (step @p373 :rule trans :premises (@p372 @p371))
% 152.13/152.43  (step @p374 :rule arith-elim-leq :args (0 @t157))
% 152.13/152.43  (step @p375 :rule nary_cong :premises (@p374 @p373) :args (@t159))
% 152.13/152.43  (step @p376 :rule cong :premises (@p375) :args (@t160))
% 152.13/152.43  (step @p377 :rule cong :premises (@p376 @p369) :args (@t161))
% 152.13/152.43  (step @p378 :rule refl :args (@t163))
% 152.13/152.43  (step @p379 :rule cong :premises (@p367 @p366 @p365 @p378 @p364) :args (@t164))
% 152.13/152.43  (step @p380 :rule cong :premises (@p375 @p379) :args (@t165))
% 152.13/152.43  (step @p381 :rule nary_cong :premises (@p380 @p377) :args (@t166))
% 152.13/152.43  (step @p382 :rule cong :premises (@p381) :args (@t168))
% 152.13/152.43  (step @p383 :rule trans :premises (@p382 @p360))
% 152.13/152.43  (step @p384 :rule refl :args (@t172))
% 152.13/152.43  (step @p385 :rule cong :premises (@p384 @p383) :args (@t173))
% 152.13/152.43  (step @p386 :rule refl :args (@t412))
% 152.13/152.43  (step @p387 :rule bool-and-de-morgan :args (@t253 @t379 true))
% 152.13/152.43  (step @p388 :rule nary_cong :premises (@p387 @p386) :args (@t462))
% 152.13/152.43  (step @p389 :rule refl :args (@t382))
% 152.13/152.43  (step @p390 :rule nary_cong :premises (@p389 @p388) :args (@t463))
% 152.13/152.43  (step @p391 :rule cong :premises (@p390) :args ((forall @t167 @t463)))
% 152.13/152.43  (step @p392 :rule arith_poly_norm :args ((= (* 1 @t464) (* -1 @t461))))
% 152.13/152.43  (step @p393 :rule arith_poly_norm_rel :premises (@p392) :args ((= @t174 @t376)))
% 152.13/152.43  (step @p394 :rule cong :premises (@p393) :args (@t175))
% 152.13/152.43  (step @p395 :rule nary_cong :premises (@p394 @p369) :args (@t176))
% 152.13/152.43  (step @p396 :rule refl :args (@t178))
% 152.13/152.43  (step @p397 :rule nary_cong :premises (@p396 @p368) :args (@t179))
% 152.13/152.43  (step @p398 :rule refl :args (@t181))
% 152.13/152.43  (step @p399 :rule cong :premises (@p398 @p397) :args (@t182))
% 152.13/152.43  (step @p400 :rule nary_cong :premises (@p393 @p399) :args (@t183))
% 152.13/152.43  (step @p401 :rule nary_cong :premises (@p400 @p395) :args (@t184))
% 152.13/152.43  (step @p402 :rule bool-double-not-elim :args (@t379))
% 152.13/152.43  (step @p403 :rule arith_poly_norm :args ((= (* -1 (- 1 @t465)) (* -1 @t464))))
% 152.13/152.43  (step @p404 :rule arith_poly_norm_rel :premises (@p403) :args ((= (>= 1 @t465) @t466)))
% 152.13/152.43  (step @p405 :rule arith-geq-tighten :args (@t378 1))
% 152.13/152.43  (step @p406 :rule trans :premises (@p405 @p404))
% 152.13/152.43  (step @p407 :rule symm :premises (@p406))
% 152.13/152.43  (step @p408 :rule cong :premises (@p407) :args ((not @t466)))
% 152.13/152.43  (step @p409 :rule trans :premises (@p408 @p402))
% 152.13/152.43  (step @p410 :rule arith-elim-lt :args (@t157 @t82))
% 152.13/152.43  (step @p411 :rule trans :premises (@p410 @p409))
% 152.13/152.43  (step @p412 :rule nary_cong :premises (@p374 @p411) :args (@t186))
% 152.13/152.43  (step @p413 :rule cong :premises (@p412) :args (@t187))
% 152.13/152.43  (step @p414 :rule nary_cong :premises (@p413 @p401) :args (@t188))
% 152.13/152.43  (step @p415 :rule nary_cong :premises (@p374 @p411 @p379) :args (@t189))
% 152.13/152.43  (step @p416 :rule nary_cong :premises (@p415 @p414) :args (@t190))
% 152.13/152.43  (step @p417 :rule cong :premises (@p416) :args (@t191))
% 152.13/152.43  (step @p418 :rule trans :premises (@p417 @p391))
% 152.13/152.43  (step @p419 :rule aci_norm :args ((= (or (or @t273 @t271) @t395) @t396)))
% 152.13/152.43  (step @p420 :rule refl :args (@t395))
% 152.13/152.43  (step @p421 :rule bool-and-de-morgan :args (@t272 @t270 true))
% 152.13/152.43  (step @p422 :rule nary_cong :premises (@p421 @p420) :args ((or (not @t467) @t395)))
% 152.13/152.43  (step @p423 :rule trans :premises (@p422 @p419))
% 152.13/152.43  (step @p424 :rule bool-impl-elim :args (@t467 @t395))
% 152.13/152.43  (step @p425 :rule trans :premises (@p424 @p423))
% 152.13/152.43  (step @p426 :rule cong :premises (@p425) :args ((forall @t196 (=> @t467 @t395))))
% 152.13/152.43  (step @p427 :rule refl :args (@t192))
% 152.13/152.43  (step @p428 :rule cong :premises (@p367 @p364 @p427) :args (@t193))
% 152.13/152.43  (step @p429 :rule bool-double-not-elim :args (@t270))
% 152.13/152.43  (step @p430 :rule arith_poly_norm :args ((= (* -1 (- 0 @t468)) (* -1 (- @t192 @t231)))))
% 152.13/152.43  (step @p431 :rule arith_poly_norm_rel :premises (@p430) :args ((= (>= 0 @t468) (>= @t192 @t231))))
% 152.13/152.43  (step @p432 :rule arith-geq-tighten :args (@t269 0))
% 152.13/152.43  (step @p433 :rule trans :premises (@p432 @p431))
% 152.13/152.43  (step @p434 :rule symm :premises (@p433))
% 152.13/152.43  (step @p435 :rule cong :premises (@p427 @p362) :args (@t469))
% 152.13/152.43  (step @p436 :rule trans :premises (@p435 @p434))
% 152.13/152.43  (step @p437 :rule cong :premises (@p436) :args ((not @t469)))
% 152.13/152.43  (step @p438 :rule trans :premises (@p437 @p429))
% 152.13/152.43  (step @p439 :rule arith-elim-lt :args (@t192 @t151))
% 152.13/152.43  (step @p440 :rule trans :premises (@p439 @p438))
% 152.13/152.43  (step @p441 :rule arith-elim-leq :args (0 @t192))
% 152.13/152.43  (step @p442 :rule nary_cong :premises (@p441 @p440) :args (@t194))
% 152.13/152.43  (step @p443 :rule cong :premises (@p442 @p428) :args (@t195))
% 152.13/152.43  (step @p444 :rule cong :premises (@p443) :args (@t197))
% 152.13/152.43  (step @p445 :rule trans :premises (@p444 @p426))
% 152.13/152.43  (step @p446 :rule bool-impl-elim :args (@t178 @t376))
% 152.13/152.43  (step @p447 :rule cong :premises (@p446) :args ((forall @t167 (=> @t178 @t376))))
% 152.13/152.43  (step @p448 :rule cong :premises (@p396 @p393) :args (@t198))
% 152.13/152.43  (step @p449 :rule cong :premises (@p448) :args (@t199))
% 152.13/152.43  (step @p450 :rule trans :premises (@p449 @p447))
% 152.13/152.43  (step @p451 :rule evaluate :args ((+ @t470 1)))
% 152.13/152.43  (step @p452 :rule symm :premises (@p451))
% 152.13/152.43  (step @p453 :rule evaluate :args ((= (to_real @t470) -1/2)))
% 152.13/152.43  (step @p454 :rule arith-int-geq-tighten :premises (@p453 @p452) :args (@t149 -1/2 0))
% 152.13/152.43  (step @p455 :rule arith_poly_norm :args ((= (* 1/2 (to_real (- @t231 0))) (* 1/1 (- @t471 -1/2)))))
% 152.13/152.43  (step @p456 :rule arith_poly_norm_rel :premises (@p455) :args ((= (>= @t231 0) (>= @t471 -1/2))))
% 152.13/152.43  (step @p457 :rule trans :premises (@p456 @p454))
% 152.13/152.43  (step @p458 :rule arith-elim-leq :args (0 @t231))
% 152.13/152.43  (step @p459 :rule trans :premises (@p458 @p457))
% 152.13/152.43  (step @p460 :rule refl :args (0))
% 152.13/152.43  (step @p461 :rule cong :premises (@p460 @p362) :args (@t200))
% 152.13/152.43  (step @p462 :rule trans :premises (@p461 @p459))
% 152.13/152.43  (step @p463 :rule arith-elim-leq :args (0 @t201))
% 152.13/152.43  (step @p464 :rule refl :args (@t204))
% 152.13/152.43  (step @p465 :rule aci_norm :args ((= (or (or @t266 @t389) @t206) @t390)))
% 152.13/152.43  (step @p466 :rule refl :args (@t206))
% 152.13/152.43  (step @p467 :rule bool-and-de-morgan :args (@t265 @t388 true))
% 152.13/152.43  (step @p468 :rule nary_cong :premises (@p467 @p466) :args ((or (not @t472) @t206)))
% 152.13/152.43  (step @p469 :rule trans :premises (@p468 @p465))
% 152.13/152.43  (step @p470 :rule bool-impl-elim :args (@t472 @t206))
% 152.13/152.43  (step @p471 :rule trans :premises (@p470 @p469))
% 152.13/152.43  (step @p472 :rule cong :premises (@p471) :args ((forall @t209 (=> @t472 @t206))))
% 152.13/152.43  (step @p473 :rule refl :args (@t206))
% 152.13/152.43  (step @p474 :rule bool-double-not-elim :args (@t388))
% 152.13/152.43  (step @p475 :rule arith_poly_norm :args ((= (* -1 (- 1 @t473)) (* -1 (- @t205 @t201)))))
% 152.13/152.43  (step @p476 :rule arith_poly_norm_rel :premises (@p475) :args ((= (>= 1 @t473) @t474)))
% 152.13/152.43  (step @p477 :rule arith-geq-tighten :args (@t387 1))
% 152.13/152.43  (step @p478 :rule trans :premises (@p477 @p476))
% 152.13/152.43  (step @p479 :rule symm :premises (@p478))
% 152.13/152.43  (step @p480 :rule cong :premises (@p479) :args ((not @t474)))
% 152.13/152.43  (step @p481 :rule trans :premises (@p480 @p474))
% 152.13/152.43  (step @p482 :rule arith-elim-lt :args (@t205 @t201))
% 152.13/152.43  (step @p483 :rule trans :premises (@p482 @p481))
% 152.13/152.43  (step @p484 :rule arith-elim-leq :args (0 @t205))
% 152.13/152.43  (step @p485 :rule nary_cong :premises (@p484 @p483) :args (@t207))
% 152.13/152.43  (step @p486 :rule cong :premises (@p485 @p473) :args (@t208))
% 152.13/152.43  (step @p487 :rule cong :premises (@p486) :args (@t210))
% 152.13/152.43  (step @p488 :rule trans :premises (@p487 @p472))
% 152.13/152.43  (step @p489 :rule bool-double-not-elim :args (@t393))
% 152.13/152.43  (step @p490 :rule arith_poly_norm :args ((= (* -1 (- 1 @t475)) (* -1 (- 0 @t201)))))
% 152.13/152.43  (step @p491 :rule arith_poly_norm_rel :premises (@p490) :args ((= (>= 1 @t475) @t476)))
% 152.13/152.43  (step @p492 :rule arith-geq-tighten :args (@t201 1))
% 152.13/152.43  (step @p493 :rule trans :premises (@p492 @p491))
% 152.13/152.43  (step @p494 :rule symm :premises (@p493))
% 152.13/152.43  (step @p495 :rule cong :premises (@p494) :args ((not @t476)))
% 152.13/152.43  (step @p496 :rule trans :premises (@p495 @p489))
% 152.13/152.43  (step @p497 :rule arith-elim-lt :args (0 @t201))
% 152.13/152.43  (step @p498 :rule trans :premises (@p497 @p496))
% 152.13/152.43  (step @p499 :rule nary_cong :premises (@p498 @p488 @p464 @p463 @p462 @p450 @p445 @p418) :args (@t211))
% 152.13/152.43  (step @p500 :rule cong :premises (@p499 @p385) :args (@t212))
% 152.13/152.43  (step @p501 :rule cong :premises (@p500) :args (@t214))
% 152.13/152.43  (step @p502 :rule trans :premises (@p501 @p340))
% 152.13/152.43  (step @p503 :rule cong :premises (@p462 @p502) :args (@t215))
% 152.13/152.43  (step @p504 :rule cong :premises (@p462 @p503) :args (@t216))
% 152.13/152.43  (step @p505 :rule arith-elim-leq :args (0 @t149))
% 152.13/152.43  (step @p506 :rule refl :args (@t220))
% 152.13/152.43  (step @p507 :rule aci_norm :args ((= (or (or @t283 @t281) @t221) @t284)))
% 152.13/152.43  (step @p508 :rule refl :args (@t221))
% 152.13/152.43  (step @p509 :rule bool-double-not-elim :args (@t281))
% 152.13/152.43  (step @p510 :rule refl :args (@t283))
% 152.13/152.43  (step @p511 :rule nary_cong :premises (@p510 @p509) :args ((or @t283 (not @t477))))
% 152.13/152.43  (step @p512 :rule bool-and-de-morgan :args (@t282 @t477 true))
% 152.13/152.43  (step @p513 :rule trans :premises (@p512 @p511))
% 152.13/152.43  (step @p514 :rule nary_cong :premises (@p513 @p508) :args ((or (not @t478) @t221)))
% 152.13/152.43  (step @p515 :rule trans :premises (@p514 @p507))
% 152.13/152.43  (step @p516 :rule bool-impl-elim :args (@t478 @t221))
% 152.13/152.43  (step @p517 :rule trans :premises (@p516 @p515))
% 152.13/152.43  (step @p518 :rule cong :premises (@p517) :args ((forall @t84 (=> @t478 @t221))))
% 152.13/152.43  (step @p519 :rule refl :args (@t221))
% 152.13/152.43  (step @p520 :rule arith_poly_norm :args ((= (* 1 (- @t82 @t149)) (* 1 (- @t280 0)))))
% 152.13/152.43  (step @p521 :rule arith_poly_norm_rel :premises (@p520) :args ((= @t479 @t281)))
% 152.13/152.43  (step @p522 :rule cong :premises (@p521) :args ((not @t479)))
% 152.13/152.43  (step @p523 :rule arith-elim-lt :args (@t82 @t149))
% 152.13/152.43  (step @p524 :rule trans :premises (@p523 @p522))
% 152.13/152.43  (step @p525 :rule arith-elim-leq :args (0 @t82))
% 152.13/152.43  (step @p526 :rule nary_cong :premises (@p525 @p524) :args (@t222))
% 152.13/152.43  (step @p527 :rule cong :premises (@p526 @p519) :args (@t223))
% 152.13/152.43  (step @p528 :rule cong :premises (@p527) :args (@t224))
% 152.13/152.43  (step @p529 :rule trans :premises (@p528 @p518))
% 152.13/152.43  (step @p530 :rule bool-double-not-elim :args (@t287))
% 152.13/152.43  (step @p531 :rule arith_poly_norm :args ((= (* -1 (- 1 @t480)) (* -1 (- 0 @t149)))))
% 152.13/152.43  (step @p532 :rule arith_poly_norm_rel :premises (@p531) :args ((= (>= 1 @t480) @t481)))
% 152.13/152.43  (step @p533 :rule arith-geq-tighten :args (@t149 1))
% 152.13/152.43  (step @p534 :rule trans :premises (@p533 @p532))
% 152.13/152.43  (step @p535 :rule symm :premises (@p534))
% 152.13/152.43  (step @p536 :rule cong :premises (@p535) :args ((not @t481)))
% 152.13/152.43  (step @p537 :rule trans :premises (@p536 @p530))
% 152.13/152.43  (step @p538 :rule arith-elim-lt :args (0 @t149))
% 152.13/152.43  (step @p539 :rule trans :premises (@p538 @p537))
% 152.13/152.43  (step @p540 :rule nary_cong :premises (@p539 @p529 @p506 @p505) :args (@t225))
% 152.13/152.43  (step @p541 :rule cong :premises (@p540 @p504) :args (@t226))
% 152.13/152.43  (step @p542 :rule cong :premises (@p541) :args (@t228))
% 152.13/152.43  (step @p543 :rule trans :premises (@p542 @p254))
% 152.13/152.43  (step @p544 :rule cong :premises (@p543) :args (@t229))
% 152.13/152.43  (step @p545 :rule eq_resolve :premises (@p110 @p544))
% 152.13/152.43  (step @p546 :rule refl :args (@t519))
% 152.13/152.43  (step @p547 :rule bool-double-not-elim :args (@t290))
% 152.13/152.43  (step @p548 :rule nary_cong :premises (@p547 @p546) :args ((or (not @t520) @t519)))
% 152.13/152.43  (step @p549 :rule refl :args (@t494))
% 152.13/152.43  (step @p550 :rule refl :args (@t501))
% 152.13/152.43  (step @p551 :rule refl :args (@t503))
% 152.13/152.43  (step @p552 :rule refl :args (@t505))
% 152.13/152.43  (step @p553 :rule refl :args (@t506))
% 152.13/152.43  (step @p554 :rule refl :args (@t507))
% 152.13/152.43  (step @p555 :rule refl :args (@t508))
% 152.13/152.43  (step @p556 :rule bool-double-not-elim :args (@t510))
% 152.13/152.43  (step @p557 :rule arith_poly_norm :args ((= (* -1 (- 1 @t522)) (* -1 (- @t521 0)))))
% 152.13/152.43  (step @p558 :rule arith_poly_norm_rel :premises (@p557) :args ((= (>= 1 @t522) (>= @t521 0))))
% 152.13/152.43  (step @p559 :rule arith-geq-tighten :args (@t509 1))
% 152.13/152.43  (step @p560 :rule trans :premises (@p559 @p558))
% 152.13/152.43  (step @p561 :rule symm :premises (@p560))
% 152.13/152.43  (step @p562 :rule arith_poly_norm :args ((= @t523 @t521)))
% 152.13/152.43  (step @p563 :rule cong :premises (@p562 @p460) :args (@t524))
% 152.13/152.43  (step @p564 :rule trans :premises (@p563 @p561))
% 152.13/152.43  (step @p565 :rule cong :premises (@p564) :args (@t525))
% 152.13/152.43  (step @p566 :rule trans :premises (@p565 @p556))
% 152.13/152.43  (step @p567 :rule refl :args (@t273))
% 152.13/152.43  (step @p568 :rule nary_cong :premises (@p567 @p566 @p555) :args (@t526))
% 152.13/152.43  (step @p569 :rule cong :premises (@p568) :args (@t527))
% 152.13/152.43  (step @p570 :rule cong :premises (@p569) :args (@t528))
% 152.13/152.43  (step @p571 :rule refl :args (@t511))
% 152.13/152.43  (step @p572 :rule refl :args (@t512))
% 152.13/152.43  (step @p573 :rule refl :args (@t514))
% 152.13/152.43  (step @p574 :rule refl :args (@t515))
% 152.13/152.43  (step @p575 :rule refl :args (@t517))
% 152.13/152.43  (step @p576 :rule nary_cong :premises (@p575 @p574 @p573 @p572 @p571 @p570 @p554 @p553 @p552 @p551 @p550 @p549) :args (@t529))
% 152.13/152.43  (step @p577 :rule cong :premises (@p576) :args (@t530))
% 152.13/152.43  (step @p578 :rule refl :args (@t520))
% 152.13/152.43  (step @p579 :rule cong :premises (@p578 @p577) :args ((=> @t520 @t530)))
% 152.13/152.43  (assume-push @p925 @t520)
% 152.13/152.43  (step @p581 :rule skolemize :premises (@p545))
% 152.13/152.43  (step-pop @p926 :rule scope :premises (@p581))
% 152.13/152.43  (step @p582 :rule process_scope :premises (@p926) :args (@t530))
% 152.13/152.43  (step @p584 :rule eq_resolve :premises (@p582 @p579))
% 152.13/152.43  (step @p585 :rule implies_elim :premises (@p584))
% 152.13/152.43  (step @p586 :rule eq_resolve :premises (@p585 @p548))
% 152.13/152.43  (step @p587 :rule chain_m_resolution :premises (@p586 @p545) :args (@t519 @t531 (@list @t290)))
% 152.13/152.43  (step @p588 :rule bool-double-not-elim :args (@t516))
% 152.13/152.43  (step @p589 :rule refl :args (@t518))
% 152.13/152.43  (step @p590 :rule nary_cong :premises (@p589 @p588) :args ((or @t518 (not @t517))))
% 152.13/152.43  (step @p591 :rule cnf_or_neg :args (@t518 0))
% 152.13/152.43  (step @p592 :rule eq_resolve :premises (@p591 @p590))
% 152.13/152.43  (step @p593 :rule reordering :premises (@p592) :args ((or @t516 @t518)))
% 152.13/152.43  (step @p594 :rule chain_m_resolution :premises (@p593 @p587) :args (@t516 @t531 @t532))
% 152.13/152.43  (step @p595 :rule cnf_or_pos :args (@t535))
% 152.13/152.43  (step @p596 :rule reordering :premises (@p595) :args ((or @t517 @t534 (not @t535))))
% 152.13/152.43  (step @p597 :rule chain_m_resolution :premises (@p596 @p594 @p172) :args (@t534 @t536 (@list @t516 @t535)))
% 152.13/152.43  (step @p598 :rule cnf_and_pos :args (@t534 0))
% 152.13/152.43  (step @p599 :rule reordering :premises (@p598) :args ((or @t303 (not @t534))))
% 152.13/152.43  (step @p600 :rule chain_m_resolution :premises (@p599 @p597) :args (@t303 @t537 (@list @t534)))
% 152.13/152.43  (step @p601 :rule cnf_and_neg :args (@t304))
% 152.13/152.43  (step @p602 :rule cnf_and_pos :args (@t540 1))
% 152.13/152.43  (step @p603 :rule reordering :premises (@p602) :args ((or @t298 (not @t540))))
% 152.13/152.43  (step @p604 :rule refl :args (@t539))
% 152.13/152.43  (step @p605 :rule bool-double-not-elim :args (@t302))
% 152.13/152.43  (step @p606 :rule nary_cong :premises (@p605 @p604) :args ((or @t542 @t539)))
% 152.13/152.43  (assume-push @p927 @t541)
% 152.13/152.43  (assume-push @p928 @t541)
% 152.13/152.43  (step @p609 :rule arith_poly_norm :args ((= (* 1 (- @t301 0)) (* 1 (- @t300 @t299)))))
% 152.13/152.43  (step @p610 :rule arith_poly_norm_rel :premises (@p609) :args ((= @t543 @t538)))
% 152.13/152.43  (step @p611 :rule cong :premises (@p610) :args ((not @t543)))
% 152.13/152.43  (assume-push @p929 @t543)
% 152.13/152.43  (step @p613 :rule evaluate :args ((<= 0 -1)))
% 152.13/152.43  (step @p614 :rule evaluate :args ((+ 0 -1)))
% 152.13/152.43  (step @p615 :rule refl :args (-1))
% 152.13/152.43  (step @p616 :rule evaluate :args (@t544))
% 152.13/152.43  (step @p617 :rule nary_cong :premises (@p616 @p615) :args (@t545))
% 152.13/152.43  (step @p618 :rule trans :premises (@p617 @p614))
% 152.13/152.43  (step @p619 :rule evaluate :args (@t546))
% 152.13/152.43  (step @p620 :rule arith_poly_norm :args (@t548))
% 152.13/152.43  (step @p621 :rule arith_poly_norm :args (@t550))
% 152.13/152.43  (step @p622 :rule nary_cong :premises (@p621 @p620) :args (@t551))
% 152.13/152.43  (step @p623 :rule trans :premises (@p622 @p619))
% 152.13/152.43  (step @p624 :rule arith_poly_norm :args (@t553))
% 152.13/152.43  (step @p625 :rule trans :premises (@p624 @p623))
% 152.13/152.43  (step @p626 :rule cong :premises (@p625 @p618) :args ((<= @t552 @t545)))
% 152.13/152.43  (step @p627 :rule trans :premises (@p626 @p613))
% 152.13/152.43  (step @p628 :rule arith-elim-lt :args (@t301 0))
% 152.13/152.43  (step @p629 :rule symm :premises (@p628))
% 152.13/152.43  (step @p630 :rule eq_resolve :premises (@p927 @p629))
% 152.13/152.43  (step @p631 :rule int_tight_ub :premises (@p630))
% 152.13/152.43  (step @p632 :rule arith_mult_neg :args (-1 @t543))
% 152.13/152.43  (step @p633 :rule evaluate :args (@t554))
% 152.13/152.43  (step @p634 :rule true_elim :premises (@p633))
% 152.13/152.43  (step @p635 :rule and_intro :premises (@p634 @p929))
% 152.13/152.43  (step @p636 :rule modus_ponens :premises (@p635 @p632))
% 152.13/152.43  (step @p637 :rule arith_sum_ub :premises (@p636 @p631))
% 152.13/152.43  (step @p638 false :rule eq_resolve :premises (@p637 @p627))
% 152.13/152.43  (step-pop @p930 :rule scope :premises (@p638))
% 152.13/152.43  (step @p639 :rule process_scope :premises (@p930) :args (false))
% 152.13/152.43  (step @p641 :rule eq_resolve :premises (@p639 @p611))
% 152.13/152.43  (step-pop @p931 :rule scope :premises (@p641))
% 152.13/152.43  (step @p642 :rule process_scope :premises (@p931) :args (@t539))
% 152.13/152.43  (step @p644 :rule modus_ponens :premises (@p927 @p642))
% 152.13/152.43  (step-pop @p932 :rule scope :premises (@p644))
% 152.13/152.43  (step @p645 :rule process_scope :premises (@p932) :args (@t539))
% 152.13/152.43  (step @p647 :rule implies_elim :premises (@p645))
% 152.13/152.43  (step @p648 :rule eq_resolve :premises (@p647 @p606))
% 152.13/152.43  (step @p649 :rule refl :args (@t556))
% 152.13/152.43  (step @p650 :rule nary_cong :premises (@p605 @p649) :args ((or @t542 @t556)))
% 152.13/152.43  (assume-push @p933 @t541)
% 152.13/152.43  (assume-push @p934 @t541)
% 152.13/152.43  (step @p653 :rule arith-elim-lt :args (@t301 1))
% 152.13/152.43  (step @p654 :rule symm :premises (@p653))
% 152.13/152.43  (assume-push @p935 @t555)
% 152.13/152.43  (step @p656 :rule evaluate :args ((<= 0 -2)))
% 152.13/152.43  (step @p657 :rule evaluate :args ((+ -1 -1)))
% 152.13/152.43  (step @p615 :rule refl :args (-1))
% 152.13/152.43  (step @p658 :rule evaluate :args (@t557))
% 152.13/152.43  (step @p659 :rule nary_cong :premises (@p658 @p615) :args (@t558))
% 152.13/152.43  (step @p660 :rule trans :premises (@p659 @p657))
% 152.13/152.43  (step @p619 :rule evaluate :args (@t546))
% 152.13/152.43  (step @p620 :rule arith_poly_norm :args (@t548))
% 152.13/152.43  (step @p621 :rule arith_poly_norm :args (@t550))
% 152.13/152.43  (step @p622 :rule nary_cong :premises (@p621 @p620) :args (@t551))
% 152.13/152.43  (step @p623 :rule trans :premises (@p622 @p619))
% 152.13/152.43  (step @p624 :rule arith_poly_norm :args (@t553))
% 152.13/152.43  (step @p625 :rule trans :premises (@p624 @p623))
% 152.13/152.43  (step @p661 :rule cong :premises (@p625 @p660) :args ((<= @t552 @t558)))
% 152.13/152.43  (step @p662 :rule trans :premises (@p661 @p656))
% 152.13/152.43  (step @p628 :rule arith-elim-lt :args (@t301 0))
% 152.13/152.43  (step @p629 :rule symm :premises (@p628))
% 152.13/152.43  (step @p663 :rule eq_resolve :premises (@p933 @p629))
% 152.13/152.43  (step @p664 :rule int_tight_ub :premises (@p663))
% 152.13/152.43  (step @p665 :rule arith_mult_neg :args (-1 @t555))
% 152.13/152.43  (step @p633 :rule evaluate :args (@t554))
% 152.13/152.43  (step @p634 :rule true_elim :premises (@p633))
% 152.13/152.43  (step @p666 :rule and_intro :premises (@p634 @p935))
% 152.13/152.43  (step @p667 :rule modus_ponens :premises (@p666 @p665))
% 152.13/152.43  (step @p668 :rule arith_sum_ub :premises (@p667 @p664))
% 152.13/152.43  (step @p669 false :rule eq_resolve :premises (@p668 @p662))
% 152.13/152.43  (step-pop @p936 :rule scope :premises (@p669))
% 152.13/152.43  (step @p670 :rule process_scope :premises (@p936) :args (false))
% 152.13/152.43  (step @p672 :rule eq_resolve :premises (@p670 @p654))
% 152.13/152.43  (step @p673 :rule eq_resolve :premises (@p672 @p653))
% 152.13/152.43  (step-pop @p937 :rule scope :premises (@p673))
% 152.13/152.43  (step @p674 :rule process_scope :premises (@p937) :args (@t556))
% 152.13/152.43  (step @p676 :rule modus_ponens :premises (@p933 @p674))
% 152.13/152.43  (step-pop @p938 :rule scope :premises (@p676))
% 152.13/152.43  (step @p677 :rule process_scope :premises (@p938) :args (@t556))
% 152.13/152.43  (step @p679 :rule implies_elim :premises (@p677))
% 152.13/152.43  (step @p680 :rule eq_resolve :premises (@p679 @p650))
% 152.13/152.43  (step @p681 :rule cnf_and_pos :args (@t560 0))
% 152.13/152.43  (step @p682 :rule reordering :premises (@p681) :args ((or @t538 (not @t560))))
% 152.13/152.43  (step @p683 :rule cnf_and_pos :args (@t561 1))
% 152.13/152.43  (step @p684 :rule reordering :premises (@p683) :args ((or @t555 (not @t561))))
% 152.13/152.43  (step @p685 :rule cnf_or_pos :args (@t562))
% 152.13/152.43  (step @p686 :rule reordering :premises (@p685) :args ((or @t560 @t540 (not @t562))))
% 152.13/152.43  (step @p687 :rule bool-double-not-elim :args (@t500))
% 152.13/152.43  (step @p688 :rule nary_cong :premises (@p589 @p687) :args ((or @t518 (not @t501))))
% 152.13/152.43  (step @p689 :rule cnf_or_neg :args (@t518 10))
% 152.13/152.43  (step @p690 :rule eq_resolve :premises (@p689 @p688))
% 152.13/152.43  (step @p691 :rule reordering :premises (@p690) :args ((or @t500 @t518)))
% 152.13/152.43  (step @p692 :rule chain_m_resolution :premises (@p691 @p587) :args (@t500 @t531 @t532))
% 152.13/152.43  (step @p693 :rule instantiate :premises (@p692) :args ((@list @t296 @t294)))
% 152.13/152.43  (step @p694 :rule cnf_or_pos :args (@t564))
% 152.13/152.43  (step @p695 :rule reordering :premises (@p694) :args ((or @t561 @t563 (not @t564))))
% 152.13/152.43  (step @p696 :rule cnf_and_pos :args (@t563 1))
% 152.13/152.43  (step @p697 :rule reordering :premises (@p696) :args ((or @t562 (not @t563))))
% 152.13/152.43  (step @p698 :rule chain_m_resolution :premises (@p697 @p695 @p693 @p686 @p684 @p682 @p680 @p648 @p603 @p601 @p600 @p118 @p112) :args (@t305 (@list false false true true true true true true true false false true) (@list @t563 @t564 @t562 @t561 @t560 @t555 @t538 @t540 @t302 @t303 @t297 @t304)))
% 152.13/152.43  (step @p699 :rule cnf_or_neg :args (@t518 11))
% 152.13/152.43  (step @p700 :rule chain_m_resolution :premises (@p699 @p587) :args ((not @t494) @t531 @t532))
% 152.13/152.43  (step @p701 :rule cnf_and_neg :args (@t494))
% 152.13/152.43  (step @p702 :rule chain_m_resolution :premises (@p701 @p700 @p698) :args ((not @t493) @t565 (@list @t494 @t305)))
% 152.13/152.43  (step @p703 :rule bool-double-not-elim :args (@t489))
% 152.13/152.43  (step @p704 :rule refl :args (@t493))
% 152.13/152.43  (step @p705 :rule nary_cong :premises (@p704 @p703) :args ((or @t493 (not @t490))))
% 152.13/152.43  (step @p706 :rule cnf_or_neg :args (@t493 1))
% 152.13/152.43  (step @p707 :rule eq_resolve :premises (@p706 @p705))
% 152.13/152.43  (step @p708 :rule reordering :premises (@p707) :args ((or @t489 @t493)))
% 152.13/152.43  (step @p709 :rule chain_m_resolution :premises (@p708 @p702) :args (@t489 @t531 @t566))
% 152.13/152.43  (step @p710 :rule cnf_or_neg :args (@t493 2))
% 152.13/152.43  (step @p711 :rule chain_m_resolution :premises (@p710 @p702) :args ((not @t485) @t531 @t566))
% 152.13/152.43  (step @p712 :rule cnf_and_pos :args (@t568 2))
% 152.13/152.43  (step @p713 :rule reordering :premises (@p712) :args ((or @t485 (not @t568))))
% 152.13/152.43  (step @p714 :rule eq-symm :args (@t111 @t44))
% 152.13/152.43  (step @p715 :rule refl :args (@t110))
% 152.13/152.43  (step @p716 :rule cong :premises (@p715 @p714) :args ((= @t110 @t112)))
% 152.13/152.43  (step @p717 :rule eq-symm :args (@t112 @t110))
% 152.13/152.43  (step @p718 :rule trans :premises (@p717 @p716))
% 152.13/152.43  (step @p719 :rule refl :args (@t113))
% 152.13/152.43  (step @p720 :rule cong :premises (@p719 @p718) :args (@t114))
% 152.13/152.43  (step @p721 :rule cong :premises (@p720) :args (@t115))
% 152.13/152.43  (step @p722 :rule eq_resolve :premises (@p80 @p721))
% 152.13/152.43  (step @p723 :rule instantiate :premises (@p722) :args ((@list tptp.a @t339 @t484 @t482 @t293)))
% 152.13/152.43  (step @p724 :rule cnf_equiv_pos2 :args (@t575))
% 152.13/152.43  (step @p725 :rule reordering :premises (@p724) :args ((or @t485 (not @t574) (not @t575))))
% 152.13/152.43  (step @p726 :rule instantiate :premises (@p692) :args ((@list @t339 @t483)))
% 152.13/152.43  (step @p727 :rule cnf_or_pos :args (@t592))
% 152.13/152.43  (step @p728 :rule reordering :premises (@p727) :args ((or @t568 @t591 (not @t592))))
% 152.13/152.43  (step @p729 :rule cnf_and_pos :args (@t591 0))
% 152.13/152.43  (step @p730 :rule reordering :premises (@p729) :args ((or @t590 @t593)))
% 152.13/152.43  (step @p731 :rule cnf_and_pos :args (@t591 1))
% 152.13/152.43  (step @p732 :rule reordering :premises (@p731) :args ((or @t588 @t593)))
% 152.13/152.43  (step @p733 :rule instantiate :premises (@p171) :args ((@list @t291 @t339 @t339)))
% 152.13/152.43  (step @p734 :rule cnf_or_pos :args (@t595))
% 152.13/152.43  (step @p735 :rule reordering :premises (@p734) :args ((or @t517 @t594 (not @t595))))
% 152.13/152.43  (step @p736 :rule chain_m_resolution :premises (@p735 @p594 @p733) :args (@t594 @t536 (@list @t516 @t595)))
% 152.13/152.43  (step @p737 :rule cnf_and_pos :args (@t594 0))
% 152.13/152.43  (step @p738 :rule reordering :premises (@p737) :args ((or @t491 (not @t594))))
% 152.13/152.43  (step @p739 :rule chain_m_resolution :premises (@p738 @p736) :args (@t491 @t537 (@list @t594)))
% 152.13/152.43  (step @p740 :rule cnf_or_pos :args (@t590))
% 152.13/152.43  (step @p741 :rule reordering :premises (@p740) :args ((or @t492 @t589 (not @t590))))
% 152.13/152.43  (step @p742 :rule refl :args (@t577))
% 152.13/152.43  (step @p743 :rule bool-double-not-elim :args (@t567))
% 152.13/152.43  (step @p744 :rule refl :args (@t490))
% 152.13/152.43  (step @p745 :rule nary_cong :premises (@p744 @p743 @p742) :args ((or @t490 (not @t589) @t577)))
% 152.13/152.43  (assume-push @p939 @t489)
% 152.13/152.43  (assume-push @p940 @t589)
% 152.13/152.43  (assume-push @p941 @t489)
% 152.13/152.43  (assume-push @p942 @t589)
% 152.13/152.43  (step @p750 :rule arith_poly_norm :args ((= (* 1 (- @t488 0)) (* 1 (- @t300 @t486)))))
% 152.13/152.43  (step @p751 :rule arith_poly_norm_rel :premises (@p750) :args ((= (= @t488 0) @t577)))
% 152.13/152.43  (step @p752 :rule arith-elim-lt :args (@t488 1))
% 152.13/152.43  (step @p753 :rule symm :premises (@p752))
% 152.13/152.43  (step @p754 :rule eq_resolve :premises (@p940 @p753))
% 152.13/152.43  (step @p755 :rule int_tight_ub :premises (@p754))
% 152.13/152.43  (step @p756 :rule arith_trichotomy :premises (@p939 @p755))
% 152.13/152.43  (step @p757 :rule eq_resolve :premises (@p756 @p751))
% 152.13/152.43  (step-pop @p943 :rule scope :premises (@p757))
% 152.13/152.43  (step-pop @p944 :rule scope :premises (@p943))
% 152.13/152.43  (step @p758 :rule process_scope :premises (@p944) :args (@t577))
% 152.13/152.43  (step @p761 :rule and_intro :premises (@p939 @p940))
% 152.13/152.43  (step @p762 :rule modus_ponens :premises (@p761 @p758))
% 152.13/152.43  (step-pop @p945 :rule scope :premises (@p762))
% 152.13/152.43  (step-pop @p946 :rule scope :premises (@p945))
% 152.13/152.43  (step @p763 :rule process_scope :premises (@p946) :args (@t577))
% 152.13/152.43  (step @p766 :rule implies_elim :premises (@p763))
% 152.13/152.43  (step @p767 :rule cnf_and_neg :args (@t596))
% 152.13/152.43  (step @p768 :rule resolution :premises (@p767 @p766) :args (true @t596))
% 152.13/152.43  (step @p769 :rule eq_resolve :premises (@p768 @p745))
% 152.13/152.43  (step @p770 :rule reordering :premises (@p769) :args ((or @t490 @t577 @t567)))
% 152.13/152.43  (step @p771 :rule cnf_and_pos :args (@t579 0))
% 152.13/152.43  (step @p772 :rule reordering :premises (@p771) :args ((or @t578 (not @t579))))
% 152.13/152.43  (step @p773 :rule cnf_or_pos :args (@t588))
% 152.13/152.43  (step @p774 :rule reordering :premises (@p773) :args ((or @t587 @t579 (not @t588))))
% 152.13/152.43  (step @p775 :rule cnf_and_pos :args (@t587 1))
% 152.13/152.43  (step @p776 :rule reordering :premises (@p775) :args ((or @t586 (not @t587))))
% 152.13/152.43  (step @p777 :rule cnf_equiv_neg2 :args (@t574))
% 152.13/152.43  (step @p778 :rule cnf_or_neg :args (@t585 1))
% 152.13/152.43  (step @p779 :rule cnf_equiv_pos1 :args (@t586))
% 152.13/152.43  (step @p780 :rule reordering :premises (@p779) :args ((or @t582 @t598 @t597)))
% 152.13/152.43  (step @p781 :rule bool-impl-elim :args (@t134 @t599))
% 152.13/152.43  (step @p782 :rule cong :premises (@p781) :args ((forall @t86 (=> @t134 @t599))))
% 152.13/152.43  (step @p783 :rule eq-symm :args (@t133 @t85))
% 152.13/152.43  (step @p784 :rule refl :args (@t134))
% 152.13/152.43  (step @p785 :rule cong :premises (@p784 @p783) :args (@t135))
% 152.13/152.43  (step @p786 :rule cong :premises (@p785) :args (@t136))
% 152.13/152.43  (step @p787 :rule trans :premises (@p786 @p782))
% 152.13/152.43  (step @p788 :rule eq_resolve :premises (@p97 @p787))
% 152.13/152.43  (step @p789 :rule instantiate :premises (@p788) :args ((@list @t571)))
% 152.13/152.43  (step @p790 :rule instantiate :premises (@p27) :args ((@list tptp.a @t484)))
% 152.13/152.43  (step @p791 :rule cnf_or_pos :args (@t604))
% 152.13/152.43  (step @p792 :rule reordering :premises (@p791) :args ((or @t603 @t601 (not @t604))))
% 152.13/152.43  (step @p793 :rule chain_m_resolution :premises (@p792 @p790 @p789) :args (@t601 @t536 (@list @t602 @t604)))
% 152.13/152.43  (step @p794 :rule instantiate :premises (@p788) :args ((@list @t570)))
% 152.13/152.43  (step @p795 :rule instantiate :premises (@p47) :args ((@list tptp.key @t128 @t482 @t569)))
% 152.13/152.43  (step @p796 :rule cnf_or_pos :args (@t608))
% 152.13/152.43  (step @p797 :rule reordering :premises (@p796) :args ((or @t607 @t605 (not @t608))))
% 152.13/152.43  (step @p798 :rule chain_m_resolution :premises (@p797 @p795 @p794) :args (@t605 @t536 (@list @t606 @t608)))
% 152.13/152.43  (assume-push @p947 @t582)
% 152.13/152.43  (assume-push @p948 @t601)
% 152.13/152.43  (assume-push @p949 @t605)
% 152.13/152.43  (assume-push @p950 @t605)
% 152.13/152.43  (assume-push @p951 @t582)
% 152.13/152.43  (assume-push @p952 @t601)
% 152.13/152.43  (step @p805 :rule symm :premises (@p798))
% 152.13/152.43  (step @p806 :rule cong :premises (@p947) :args (@t600))
% 152.13/152.43  (step @p807 :rule trans :premises (@p793 @p806 @p805))
% 152.13/152.43  (step-pop @p953 :rule scope :premises (@p807))
% 152.13/152.43  (step-pop @p954 :rule scope :premises (@p953))
% 152.13/152.43  (step-pop @p955 :rule scope :premises (@p954))
% 152.13/152.43  (step @p808 :rule process_scope :premises (@p955) :args (@t572))
% 152.13/152.43  (step @p812 :rule and_intro :premises (@p798 @p947 @p793))
% 152.13/152.43  (step @p813 :rule modus_ponens :premises (@p812 @p808))
% 152.13/152.43  (step-pop @p956 :rule scope :premises (@p813))
% 152.13/152.43  (step-pop @p957 :rule scope :premises (@p956))
% 152.13/152.43  (step-pop @p958 :rule scope :premises (@p957))
% 152.13/152.43  (step @p814 :rule process_scope :premises (@p958) :args (@t572))
% 152.13/152.43  (step @p818 :rule implies_elim :premises (@p814))
% 152.13/152.43  (step @p819 :rule cnf_and_neg :args (@t609))
% 152.13/152.43  (step @p820 :rule resolution :premises (@p819 @p818) :args (true @t609))
% 152.13/152.43  (step @p821 :rule reordering :premises (@p820) :args ((or @t572 @t610 (not @t601) (not @t605))))
% 152.13/152.43  (step @p822 :rule chain_m_resolution :premises (@p821 @p798 @p793 @p780 @p778 @p777) :args ((or @t574 @t576 @t597) (@list false false false false true) (@list @t605 @t601 @t582 @t585 @t572)))
% 152.13/152.43  (step @p823 :rule cnf_equiv_neg1 :args (@t574))
% 152.13/152.43  (step @p824 :rule reordering :premises (@p823) :args ((or @t573 @t572 @t574)))
% 152.13/152.43  (step @p825 :rule refl :args (@t612))
% 152.13/152.43  (step @p826 :rule eq-symm :args (@t613 @t34))
% 152.13/152.43  (step @p827 :rule nary_cong :premises (@p826 @p825) :args (@t614))
% 152.13/152.43  (step @p828 :rule refl :args (@t615))
% 152.13/152.43  (step @p829 :rule cong :premises (@p828 @p827) :args (@t616))
% 152.13/152.43  (step @p830 :rule refl :args (@t617))
% 152.13/152.43  (step @p831 :rule nary_cong :premises (@p830 @p829) :args (@t618))
% 152.13/152.43  (step @p832 :rule refl :args (@t61))
% 152.13/152.43  (step @p833 :rule nary_cong :premises (@p832 @p831) :args (@t619))
% 152.13/152.43  (step @p834 :rule refl :args (@t620))
% 152.13/152.43  (step @p835 :rule nary_cong :premises (@p834 @p833) :args (@t621))
% 152.13/152.43  (step @p836 :rule cong :premises (@p835) :args (@t623))
% 152.13/152.43  (step @p837 :rule quant-merge-prenex :args ((= (forall @t35 @t625) @t623)))
% 152.13/152.43  (step @p838 :rule alpha_equiv :args (@t626 (@list @t613 @t611) (@list @t4 @t3)))
% 152.13/152.43  (step @p839 :rule quant-unused-vars :args ((= @t627 @t61)))
% 152.13/152.43  (step @p840 :rule nary_cong :premises (@p839 @p838) :args (@t628))
% 152.13/152.43  (step @p841 :rule quant-miniscope-and :args ((= @t629 @t628)))
% 152.13/152.43  (step @p842 :rule trans :premises (@p841 @p840))
% 152.13/152.43  (step @p843 :rule refl :args (@t620))
% 152.13/152.43  (step @p844 :rule nary_cong :premises (@p843 @p842) :args (@t630))
% 152.13/152.43  (step @p845 :rule quant-miniscope-or :args ((= @t625 @t630)))
% 152.13/152.43  (step @p846 :rule trans :premises (@p845 @p844))
% 152.13/152.43  (step @p847 :rule symm :premises (@p846))
% 152.13/152.43  (step @p848 :rule cong :premises (@p847) :args ((forall @t35 (or @t620 @t632))))
% 152.13/152.43  (step @p849 :rule trans :premises (@p848 @p837))
% 152.13/152.43  (step @p850 :rule trans :premises (@p849 @p836))
% 152.13/152.43  (step @p851 :rule bool-impl-elim :args (@t63 @t632))
% 152.13/152.43  (step @p852 :rule cong :premises (@p851) :args ((forall @t35 (=> @t63 @t632))))
% 152.13/152.43  (step @p853 :rule trans :premises (@p852 @p850))
% 152.13/152.43  (step @p854 :rule bool-impl-elim :args (@t57 @t631))
% 152.13/152.43  (step @p855 :rule cong :premises (@p854) :args ((forall @t59 (=> @t57 @t631))))
% 152.13/152.43  (step @p856 :rule refl :args (@t53))
% 152.13/152.43  (step @p857 :rule eq-symm :args (@t34 @t4))
% 152.13/152.43  (step @p858 :rule nary_cong :premises (@p857 @p856) :args (@t54))
% 152.13/152.43  (step @p859 :rule refl :args (@t55))
% 152.13/152.43  (step @p860 :rule cong :premises (@p859 @p858) :args (@t56))
% 152.13/152.43  (step @p861 :rule refl :args (@t57))
% 152.13/152.43  (step @p862 :rule cong :premises (@p861 @p860) :args (@t58))
% 152.13/152.43  (step @p863 :rule cong :premises (@p862) :args (@t60))
% 152.13/152.43  (step @p864 :rule trans :premises (@p863 @p855))
% 152.13/152.43  (step @p865 :rule nary_cong :premises (@p832 @p864) :args (@t62))
% 152.13/152.43  (step @p866 :rule refl :args (@t63))
% 152.13/152.43  (step @p867 :rule cong :premises (@p866 @p865) :args (@t64))
% 152.13/152.43  (step @p868 :rule cong :premises (@p867) :args (@t65))
% 152.13/152.43  (step @p869 :rule trans :premises (@p868 @p853))
% 152.13/152.43  (step @p870 :rule eq_resolve :premises (@p46 @p869))
% 152.13/152.43  (step @p871 :rule refl :args (@t633))
% 152.13/152.43  (step @p872 :rule eq-symm :args (@t583 @t169))
% 152.13/152.43  (step @p873 :rule nary_cong :premises (@p872 @p871) :args (@t634))
% 152.13/152.43  (step @p874 :rule refl :args (@t635))
% 152.13/152.43  (step @p875 :rule cong :premises (@p874 @p873) :args (@t636))
% 152.13/152.43  (step @p876 :rule refl :args (@t637))
% 152.13/152.43  (step @p877 :rule nary_cong :premises (@p876 @p875) :args (@t638))
% 152.13/152.43  (step @p878 :rule refl :args (@t639))
% 152.13/152.43  (step @p879 :rule nary_cong :premises (@p878 @p877) :args (@t640))
% 152.13/152.43  (step @p880 :rule refl :args (@t642))
% 152.13/152.43  (step @p881 :rule nary_cong :premises (@p880 @p879) :args (@t643))
% 152.13/152.43  (step @p882 :rule refl :args (@t644))
% 152.13/152.43  (step @p883 :rule cong :premises (@p882 @p881) :args ((=> @t644 @t643)))
% 152.13/152.43  (assume-push @p959 @t644)
% 152.13/152.43  (step @p885 :rule instantiate :premises (@p870) :args ((@list @t124 @t583 @t169 @t169)))
% 152.13/152.43  (step-pop @p960 :rule scope :premises (@p885))
% 152.13/152.43  (step @p886 :rule process_scope :premises (@p960) :args (@t643))
% 152.13/152.43  (step @p888 :rule eq_resolve :premises (@p886 @p883))
% 152.13/152.43  (step @p889 :rule implies_elim :premises (@p888))
% 152.13/152.43  (step @p890 :rule chain_m_resolution :premises (@p889 @p870) :args (@t646 @t537 (@list @t644)))
% 152.13/152.43  (step @p891 :rule instantiate :premises (@p70) :args ((@list tptp.a tptp.key @t569 @t484)))
% 152.13/152.43  (step @p892 :rule cnf_or_pos :args (@t646))
% 152.13/152.43  (step @p893 :rule reordering :premises (@p892) :args ((or @t642 @t645 (not @t646))))
% 152.13/152.43  (step @p894 :rule chain_m_resolution :premises (@p893 @p891 @p890) :args (@t645 @t536 (@list @t641 @t646)))
% 152.13/152.43  (step @p895 :rule cnf_and_pos :args (@t645 0))
% 152.13/152.43  (step @p896 :rule reordering :premises (@p895) :args ((or @t639 (not @t645))))
% 152.13/152.43  (step @p897 :rule chain_m_resolution :premises (@p896 @p894) :args (@t639 @t537 (@list @t645)))
% 152.13/152.43  (step @p898 :rule false_intro :premises (@p897))
% 152.13/152.43  (step @p899 :rule eq-symm :args (@t141 @t85))
% 152.13/152.43  (step @p900 :rule cong :premises (@p899) :args (@t142))
% 152.13/152.43  (step @p901 :rule eq_resolve :premises (@p103 @p900))
% 152.13/152.43  (step @p902 :rule instantiate :premises (@p901) :args ((@list @t169)))
% 152.13/152.43  (step @p903 :rule symm :premises (@p902))
% 152.13/152.43  (step @p904 :rule refl :args (@t583))
% 152.13/152.43  (step @p905 :rule refl :args (@t124))
% 152.13/152.43  (step @p906 :rule cong :premises (@p905 @p904 @p903) :args (@t584))
% 152.13/152.43  (step @p907 :rule trans :premises (@p906 @p898))
% 152.13/152.43  (step @p908 :rule false_elim :premises (@p907))
% 152.13/152.43  (step @p909 :rule cnf_or_pos :args (@t585))
% 152.13/152.43  (step @p910 :rule reordering :premises (@p909) :args ((or @t573 @t584 @t598)))
% 152.13/152.43  (step @p911 :rule cnf_equiv_pos2 :args (@t586))
% 152.13/152.43  (step @p912 :rule reordering :premises (@p911) :args ((or @t585 @t610 @t597)))
% 152.13/152.43  (assume-push @p961 @t572)
% 152.13/152.43  (assume-push @p962 @t572)
% 152.13/152.43  (step @p915 :rule cong :premises (@p961) :args (@t581))
% 152.13/152.43  (step-pop @p963 :rule scope :premises (@p915))
% 152.13/152.43  (step @p916 :rule process_scope :premises (@p963) :args (@t582))
% 152.13/152.43  (step @p918 :rule modus_ponens :premises (@p961 @p916))
% 152.13/152.43  (step-pop @p964 :rule scope :premises (@p918))
% 152.13/152.43  (step @p919 :rule process_scope :premises (@p964) :args (@t582))
% 152.13/152.43  (step @p921 :rule implies_elim :premises (@p919))
% 152.13/152.43  (step @p922 :rule reordering :premises (@p921) :args ((or @t582 (not @t572))))
% 152.13/152.43  (step @p923 :rule chain_m_resolution :premises (@p922 @p912 @p910 @p908 @p824 @p822 @p776 @p774 @p772 @p770 @p741 @p739 @p732 @p730 @p728 @p726 @p725 @p723 @p713) :args ((or @t490 @t485) (@list true true true false true false false true false true false false false false false true false true) (@list @t582 @t585 @t584 @t572 @t573 @t586 @t587 @t579 @t577 @t567 @t491 @t588 @t590 @t591 @t592 @t574 @t575 @t568)))
% 152.13/152.43  (step @p924 false :rule chain_m_resolution :premises (@p923 @p711 @p709) :args (false @t565 (@list @t485 @t489)))
% 152.13/152.43  )
% 152.13/152.43  % SZS output end Proof
% 152.13/152.43  % cvc5 exiting
%------------------------------------------------------------------------------