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cvc5---1.3.4.THM-Prf.s

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%------------------------------------------------------------------------------
% File     : cvc5---1.3.4
% Problem  : SWW619_2 : TPTP v9.2.1. Released v6.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM

% Computer : 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 09:05:21 AM UTC 2026

% Result   : Theorem 0.37s 0.64s
% Output   : Proof 0.37s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : SWW619_2 : TPTP v9.2.1. Released v6.1.0.
% 0.13/0.13  % Command  : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.16/0.34  % Computer : n004.cluster.edu
% 0.16/0.34  % Model    : x86_64 x86_64
% 0.16/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.34  % Memory   : 8042.1875MB
% 0.16/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.16/0.34  % CPULimit : 300
% 0.16/0.34  % WCLimit  : 300
% 0.16/0.34  % DateTime : Tue Jun  2 22:18:37 EDT 2026
% 0.16/0.35  % CPUTime  : 
% 0.29/0.52  %----Proving TF0_ARI
% 0.37/0.64  --- Run --finite-model-find --decision=internal at 45...
% 0.37/0.64  % SZS status Theorem
% 0.37/0.64  % SZS output start Proof
% 0.37/0.64  (
% 0.37/0.64  (declare-sort tptp.array_elt2 0)
% 0.37/0.64  (declare-sort tptp.map_int_elt2 0)
% 0.37/0.64  (declare-sort tptp.elt4 0)
% 0.37/0.64  (declare-sort tptp.tuple02 0)
% 0.37/0.64  (declare-sort tptp.bool1 0)
% 0.37/0.64  (declare-sort tptp.ty 0)
% 0.37/0.64  (declare-sort tptp.uni 0)
% 0.37/0.64  (declare-const tptp.tb2t9 (-> tptp.uni tptp.map_int_elt2))
% 0.37/0.64  (declare-const tptp.t2tb9 (-> tptp.map_int_elt2 tptp.uni))
% 0.37/0.64  (declare-const tptp.max (-> Int Int Int))
% 0.37/0.64  (declare-const tptp.mod (-> Int Int Int))
% 0.37/0.64  (declare-const tptp.abs (-> Int Int))
% 0.37/0.64  (declare-const tptp.permut_all (-> tptp.ty tptp.uni tptp.uni Bool))
% 0.37/0.64  (declare-const tptp.permut_sub1 (-> tptp.ty tptp.uni tptp.uni Int Int Bool))
% 0.37/0.64  (declare-const tptp.permut3 (-> tptp.ty tptp.uni tptp.uni Int Int Bool))
% 0.37/0.64  (declare-const tptp.exchange3 (-> tptp.ty tptp.uni tptp.uni Int Int Bool))
% 0.37/0.64  (declare-const tptp.array_eq (-> tptp.ty tptp.uni tptp.uni Bool))
% 0.37/0.64  (declare-const tptp.array_eq_sub1 (-> tptp.ty tptp.uni tptp.uni Int Int Bool))
% 0.37/0.64  (declare-const tptp.map_eq_sub1 (-> tptp.ty tptp.uni tptp.uni Int Int Bool))
% 0.37/0.64  (declare-const tptp.permut2 (-> tptp.ty tptp.uni tptp.uni Int Int Bool))
% 0.37/0.64  (declare-const tptp.contents (-> tptp.ty tptp.uni tptp.uni))
% 0.37/0.64  (declare-const tptp.ref (-> tptp.ty tptp.ty))
% 0.37/0.64  (declare-const tptp.length1 (-> tptp.ty tptp.uni Int))
% 0.37/0.64  (declare-const tptp.const (-> tptp.ty tptp.ty tptp.uni tptp.uni))
% 0.37/0.64  (declare-const tptp.set (-> tptp.ty tptp.ty tptp.uni tptp.uni tptp.uni tptp.uni))
% 0.37/0.64  (declare-const tptp.tuple03 tptp.tuple02)
% 0.37/0.64  (declare-const tptp.map (-> tptp.ty tptp.ty tptp.ty))
% 0.37/0.64  (declare-const tptp.false1 tptp.bool1)
% 0.37/0.64  (declare-const tptp.array (-> tptp.ty tptp.ty))
% 0.37/0.64  (declare-const tptp.mk_ref (-> tptp.ty tptp.uni tptp.uni))
% 0.37/0.64  (declare-const tptp.match_bool1 (-> tptp.ty tptp.bool1 tptp.uni tptp.uni tptp.uni))
% 0.37/0.64  (declare-const tptp.true1 tptp.bool1)
% 0.37/0.64  (declare-const tptp.set2 (-> tptp.ty tptp.uni Int tptp.uni tptp.uni))
% 0.37/0.64  (declare-const tptp.le3 (-> tptp.elt4 tptp.elt4 Bool))
% 0.37/0.64  (declare-const tptp.sort1 (-> tptp.ty tptp.uni Bool))
% 0.37/0.64  (declare-const tptp.t2tb7 (-> tptp.elt4 tptp.uni))
% 0.37/0.64  (declare-const tptp.witness1 (-> tptp.ty tptp.uni))
% 0.37/0.64  (declare-const tptp.min (-> Int Int Int))
% 0.37/0.64  (declare-const tptp.get (-> tptp.ty tptp.ty tptp.uni tptp.uni tptp.uni))
% 0.37/0.64  (declare-const tptp.int tptp.ty)
% 0.37/0.64  (declare-const tptp.exchange2 (-> tptp.ty tptp.uni tptp.uni Int Int Int Int Bool))
% 0.37/0.64  (declare-const tptp.mk_array1 (-> tptp.ty Int tptp.uni tptp.uni))
% 0.37/0.64  (declare-const tptp.sorted3 (-> tptp.array_elt2 Bool))
% 0.37/0.64  (declare-const tptp.elts (-> tptp.ty tptp.uni tptp.uni))
% 0.37/0.64  (declare-const tptp.get2 (-> tptp.ty tptp.uni Int tptp.uni))
% 0.37/0.64  (declare-const tptp.occ1 (-> tptp.ty tptp.uni tptp.uni Int Int Int))
% 0.37/0.64  (declare-const tptp.elt5 tptp.ty)
% 0.37/0.64  (declare-const tptp.tb2t7 (-> tptp.uni tptp.elt4))
% 0.37/0.64  (declare-const tptp.t2tb (-> Int tptp.uni))
% 0.37/0.64  (declare-const tptp.div (-> Int Int Int))
% 0.37/0.64  (declare-const tptp.tb2t (-> tptp.uni Int))
% 0.37/0.64  (declare-const tptp.make1 (-> tptp.ty Int tptp.uni tptp.uni))
% 0.37/0.64  (declare-const tptp.t2tb8 (-> tptp.array_elt2 tptp.uni))
% 0.37/0.64  (declare-const tptp.tb2t8 (-> tptp.uni tptp.array_elt2))
% 0.37/0.64  (declare-const tptp.sorted_sub3 (-> tptp.array_elt2 Int Int Bool))
% 0.37/0.64  (define @t1 () (@var "A" tptp.ty))
% 0.37/0.64  (define @t2 () (@var "X2" tptp.uni))
% 0.37/0.64  (define @t3 () (@var "X1" tptp.uni))
% 0.37/0.64  (define @t4 () (@var "X" tptp.bool1))
% 0.37/0.64  (define @t5 () (@var "Z" tptp.uni))
% 0.37/0.64  (define @t6 () (@var "Z1" tptp.uni))
% 0.37/0.64  (define @t7 () (@list @t1 @t5 @t6))
% 0.37/0.64  (define @t8 () (@var "U" tptp.bool1))
% 0.37/0.64  (define @t9 () (@var "U" tptp.tuple02))
% 0.37/0.64  (define @t10 () (@var "Z" Int))
% 0.37/0.64  (define @t11 () (@var "Y" Int))
% 0.37/0.64  (define @t12 () (@var "X" Int))
% 0.37/0.64  (define @t13 () (<= 0 @t10))
% 0.37/0.64  (define @t14 () (<= @t12 @t11))
% 0.37/0.64  (define @t15 () (@list @t12 @t11 @t10))
% 0.37/0.64  (define @t16 () (@var "X" tptp.uni))
% 0.37/0.64  (define @t17 () (@var "B" tptp.ty))
% 0.37/0.64  (define @t18 () (tptp.map @t1 @t17))
% 0.37/0.64  (define @t19 () (@var "B1" tptp.uni))
% 0.37/0.64  (define @t20 () (@var "A2" tptp.uni))
% 0.37/0.64  (define @t21 () (@var "A1" tptp.uni))
% 0.37/0.64  (define @t22 () (@var "M" tptp.uni))
% 0.37/0.64  (define @t23 () (tptp.get @t17 @t1 (tptp.set @t17 @t1 @t22 @t21 @t19) @t20))
% 0.37/0.64  (define @t24 () (= @t21 @t20))
% 0.37/0.64  (define @t25 () (tptp.sort1 @t17 @t19))
% 0.37/0.64  (define @t26 () (tptp.array @t1))
% 0.37/0.64  (define @t27 () (@list @t1 @t12 @t3))
% 0.37/0.64  (define @t28 () (@var "U" Int))
% 0.37/0.64  (define @t29 () (@var "U1" tptp.uni))
% 0.37/0.64  (define @t30 () (tptp.mk_array1 @t1 @t28 @t29))
% 0.37/0.64  (define @t31 () (@list @t1 @t28 @t29))
% 0.37/0.64  (define @t32 () (tptp.map tptp.int @t1))
% 0.37/0.64  (define @t33 () (@list @t1 @t16))
% 0.37/0.64  (define @t34 () (@var "U" tptp.uni))
% 0.37/0.64  (define @t35 () (@list @t1 @t34))
% 0.37/0.64  (define @t36 () (@var "X1" Int))
% 0.37/0.64  (define @t37 () (@list @t12))
% 0.37/0.64  (define @t38 () (@var "I" Int))
% 0.37/0.64  (define @t39 () (tptp.t2tb @t38))
% 0.37/0.64  (define @t40 () (@list @t38))
% 0.37/0.64  (define @t41 () (@var "J" tptp.uni))
% 0.37/0.64  (define @t42 () (@list @t41))
% 0.37/0.64  (define @t43 () (tptp.elts @t1 @t21))
% 0.37/0.64  (define @t44 () (@var "V" tptp.uni))
% 0.37/0.64  (define @t45 () (tptp.length1 @t1 @t21))
% 0.37/0.64  (define @t46 () (@var "N" Int))
% 0.37/0.64  (define @t47 () (@var "X" tptp.elt4))
% 0.37/0.64  (define @t48 () (@list @t47))
% 0.37/0.64  (define @t49 () (@var "Z" tptp.elt4))
% 0.37/0.64  (define @t50 () (@var "Y" tptp.elt4))
% 0.37/0.64  (define @t51 () (tptp.le3 @t47 @t50))
% 0.37/0.64  (define @t52 () (@var "I" tptp.elt4))
% 0.37/0.64  (define @t53 () (@var "X" tptp.array_elt2))
% 0.37/0.64  (define @t54 () (@var "I" tptp.array_elt2))
% 0.37/0.64  (define @t55 () (@var "I2" Int))
% 0.37/0.64  (define @t56 () (@var "A" tptp.array_elt2))
% 0.37/0.64  (define @t57 () (tptp.t2tb8 @t56))
% 0.37/0.64  (define @t58 () (@var "I1" Int))
% 0.37/0.64  (define @t59 () (tptp.le3 (tptp.tb2t7 (tptp.get2 tptp.elt5 @t57 @t58)) (tptp.tb2t7 (tptp.get2 tptp.elt5 @t57 @t55))))
% 0.37/0.64  (define @t60 () (<= @t58 @t55))
% 0.37/0.64  (define @t61 () (@var "L" Int))
% 0.37/0.64  (define @t62 () (@list @t58 @t55))
% 0.37/0.64  (define @t63 () (tptp.ref @t1))
% 0.37/0.64  (define @t64 () (tptp.occ1 @t1 @t44 @t22 @t61 @t28))
% 0.37/0.64  (define @t65 () (= @t64 0))
% 0.37/0.64  (define @t66 () (@list @t1 @t44 @t22 @t61 @t28))
% 0.37/0.64  (define @t67 () (- @t28 1))
% 0.37/0.64  (define @t68 () (tptp.occ1 @t1 @t44 @t22 @t61 @t67))
% 0.37/0.64  (define @t69 () (= (tptp.get @t1 tptp.int @t22 (tptp.t2tb @t67)) @t44))
% 0.37/0.64  (define @t70 () (< @t61 @t28))
% 0.37/0.64  (define @t71 () (tptp.sort1 @t1 @t44))
% 0.37/0.64  (define @t72 () (@var "Mid" Int))
% 0.37/0.64  (define @t73 () (tptp.get @t1 tptp.int @t22 @t39))
% 0.37/0.64  (define @t74 () (= @t73 @t44))
% 0.37/0.64  (define @t75 () (< @t38 @t28))
% 0.37/0.64  (define @t76 () (<= @t61 @t38))
% 0.37/0.64  (define @t77 () (and @t76 @t75))
% 0.37/0.64  (define @t78 () (@var "M2" tptp.uni))
% 0.37/0.64  (define @t79 () (@var "M1" tptp.uni))
% 0.37/0.64  (define @t80 () (= (tptp.occ1 @t1 @t44 @t79 @t61 @t28) (tptp.occ1 @t1 @t44 @t78 @t61 @t28)))
% 0.37/0.64  (define @t81 () (tptp.permut2 @t1 @t79 @t78 @t61 @t28))
% 0.37/0.64  (define @t82 () (@list @t44))
% 0.37/0.64  (define @t83 () (@var "A3" tptp.uni))
% 0.37/0.64  (define @t84 () (tptp.permut2 @t1 @t21 @t20 @t61 @t28))
% 0.37/0.64  (define @t85 () (tptp.get @t1 tptp.int @t20 @t39))
% 0.37/0.64  (define @t86 () (@var "J" Int))
% 0.37/0.64  (define @t87 () (tptp.t2tb @t86))
% 0.37/0.64  (define @t88 () (tptp.get @t1 tptp.int @t21 @t87))
% 0.37/0.64  (define @t89 () (= @t88 @t85))
% 0.37/0.64  (define @t90 () (< @t86 @t28))
% 0.37/0.64  (define @t91 () (<= @t61 @t86))
% 0.37/0.64  (define @t92 () (tptp.get @t1 tptp.int @t21 @t39))
% 0.37/0.64  (define @t93 () (@list @t1 @t21 @t20 @t61 @t28))
% 0.37/0.64  (define @t94 () (tptp.elts @t1 @t20))
% 0.37/0.64  (define @t95 () (<= @t28 @t45))
% 0.37/0.64  (define @t96 () (<= 0 @t28))
% 0.37/0.64  (define @t97 () (<= @t61 @t45))
% 0.37/0.64  (define @t98 () (<= 0 @t61))
% 0.37/0.64  (define @t99 () (= @t45 (tptp.length1 @t1 @t20)))
% 0.37/0.64  (define @t100 () (@list @t1 @t21 @t20))
% 0.37/0.64  (define @t101 () (@var "K" Int))
% 0.37/0.64  (define @t102 () (tptp.t2tb @t101))
% 0.37/0.64  (define @t103 () (@list @t101))
% 0.37/0.64  (define @t104 () (and @t91 @t90))
% 0.37/0.64  (define @t105 () (tptp.exchange3 @t1 @t21 @t20 @t38 @t86))
% 0.37/0.64  (define @t106 () (@list @t1 @t21 @t20 @t38 @t86))
% 0.37/0.64  (define @t107 () (tptp.permut3 @t1 @t21 @t20 @t61 @t28))
% 0.37/0.64  (define @t108 () (tptp.permut_sub1 @t1 @t21 @t20 @t61 @t28))
% 0.37/0.64  (define @t109 () (tptp.permut_all @t1 @t21 @t20))
% 0.37/0.64  (define @t110 () (@var "U2" Int))
% 0.37/0.64  (define @t111 () (@var "L2" Int))
% 0.37/0.64  (define @t112 () (@var "U1" Int))
% 0.37/0.64  (define @t113 () (@var "L1" Int))
% 0.37/0.64  (define @t114 () (tptp.abs @t12))
% 0.37/0.64  (define @t115 () (<= 0 @t12))
% 0.37/0.64  (define @t116 () (@list @t12 @t11))
% 0.37/0.64  (define @t117 () (tptp.mod @t12 @t11))
% 0.37/0.64  (define @t118 () (tptp.div @t12 @t11))
% 0.37/0.64  (define @t119 () (not (= @t11 0)))
% 0.37/0.64  (define @t120 () (<= 0 @t118))
% 0.37/0.64  (define @t121 () (< 0 @t11))
% 0.37/0.64  (define @t122 () (and @t115 @t121))
% 0.37/0.64  (define @t123 () (tptp.abs @t11))
% 0.37/0.64  (define @t124 () (<= @t12 0))
% 0.37/0.64  (define @t125 () (and @t115 (< @t12 @t11)))
% 0.37/0.64  (define @t126 () (+ (* @t12 @t11) @t10))
% 0.37/0.64  (define @t127 () (and (< 0 @t12) (<= 0 @t11) @t13))
% 0.37/0.64  (define @t128 () (tptp.max @t12 @t11))
% 0.37/0.64  (define @t129 () (= @t128 @t11))
% 0.37/0.64  (define @t130 () (= @t128 @t12))
% 0.37/0.64  (define @t131 () (tptp.min @t12 @t11))
% 0.37/0.64  (define @t132 () (= @t131 @t11))
% 0.37/0.64  (define @t133 () (= @t131 @t12))
% 0.37/0.64  (define @t134 () (<= @t11 @t12))
% 0.37/0.64  (define @t135 () (@var "X" tptp.map_int_elt2))
% 0.37/0.64  (define @t136 () (tptp.map tptp.int tptp.elt5))
% 0.37/0.64  (define @t137 () (@var "I" tptp.map_int_elt2))
% 0.37/0.64  (define @t138 () (@var "Len" Int))
% 0.37/0.64  (define @t139 () (* @t101 @t138))
% 0.37/0.64  (define @t140 () (+ @t139 @t138))
% 0.37/0.64  (define @t141 () (@var "A" Int))
% 0.37/0.64  (define @t142 () (tptp.min @t141 @t140))
% 0.37/0.64  (define @t143 () (@var "A2" tptp.map_int_elt2))
% 0.37/0.64  (define @t144 () (tptp.mk_array1 tptp.elt5 @t141 (tptp.t2tb9 @t143)))
% 0.37/0.64  (define @t145 () (tptp.tb2t8 @t144))
% 0.37/0.64  (define @t146 () (tptp.sorted_sub3 @t145 @t139 @t142))
% 0.37/0.64  (define @t147 () (<= 0 @t139))
% 0.37/0.64  (define @t148 () (and @t147 (< @t139 @t141)))
% 0.37/0.64  (define @t149 () (=> @t148 @t146))
% 0.37/0.64  (define @t150 () (forall @t103 @t149))
% 0.37/0.64  (define @t151 () (=> (< @t138 @t141) @t150))
% 0.37/0.64  (define @t152 () (@var "A1" tptp.map_int_elt2))
% 0.37/0.64  (define @t153 () (tptp.t2tb9 @t152))
% 0.37/0.64  (define @t154 () (tptp.permut_all tptp.elt5 (tptp.mk_array1 tptp.elt5 @t141 @t153) @t144))
% 0.37/0.64  (define @t155 () (and (<= 1 @t138) @t154 @t150))
% 0.37/0.64  (define @t156 () (=> @t155 @t151))
% 0.37/0.64  (define @t157 () (@list @t138 @t143))
% 0.37/0.64  (define @t158 () (forall @t157 @t156))
% 0.37/0.64  (define @t159 () (@var "Tmp1" tptp.map_int_elt2))
% 0.37/0.64  (define @t160 () (= (tptp.tb2t7 (tptp.get tptp.elt5 tptp.int (tptp.t2tb9 @t159) @t39)) (tptp.tb2t7 (tptp.get tptp.elt5 tptp.int @t153 @t39))))
% 0.37/0.64  (define @t161 () (@var "Tmp" Int))
% 0.37/0.64  (define @t162 () (and (<= 0 @t38) (< @t38 @t161)))
% 0.37/0.64  (define @t163 () (=> @t162 @t160))
% 0.37/0.64  (define @t164 () (forall @t40 @t163))
% 0.37/0.64  (define @t165 () (= @t161 @t141))
% 0.37/0.64  (define @t166 () (and (<= 0 @t161) @t165 @t164))
% 0.37/0.64  (define @t167 () (=> @t166 @t158))
% 0.37/0.64  (define @t168 () (@list @t161 @t159))
% 0.37/0.64  (define @t169 () (forall @t168 @t167))
% 0.37/0.64  (define @t170 () (=> (<= 0 @t141) @t169))
% 0.37/0.64  (define @t171 () (@list @t141 @t152))
% 0.37/0.64  (define @t172 () (forall @t171 @t170))
% 0.37/0.64  (define @t173 () (not @t172))
% 0.37/0.64  (define @t174 () (+ @t38 (* -1 @t161)))
% 0.37/0.64  (define @t175 () (>= @t174 0))
% 0.37/0.64  (define @t176 () (>= @t38 0))
% 0.37/0.64  (define @t177 () (not @t176))
% 0.37/0.64  (define @t178 () (or @t177 @t175 @t160))
% 0.37/0.64  (define @t179 () (= @t141 @t161))
% 0.37/0.64  (define @t180 () (not @t154))
% 0.37/0.64  (define @t181 () (>= @t138 1))
% 0.37/0.64  (define @t182 () (not @t181))
% 0.37/0.64  (define @t183 () (* @t101 @t138))
% 0.37/0.64  (define @t184 () (+ @t138 @t183))
% 0.37/0.64  (define @t185 () (tptp.sorted_sub3 @t145 @t183 (tptp.min @t141 @t184)))
% 0.37/0.64  (define @t186 () (+ @t141 (* -1 @t183)))
% 0.37/0.64  (define @t187 () (>= @t186 1))
% 0.37/0.64  (define @t188 () (not @t187))
% 0.37/0.64  (define @t189 () (>= @t183 0))
% 0.37/0.64  (define @t190 () (not @t189))
% 0.37/0.64  (define @t191 () (or @t190 @t188 @t185))
% 0.37/0.64  (define @t192 () (forall @t103 @t191))
% 0.37/0.64  (define @t193 () (+ @t141 (* -1 @t138)))
% 0.37/0.64  (define @t194 () (>= @t193 1))
% 0.37/0.64  (define @t195 () (not @t194))
% 0.37/0.64  (define @t196 () (not @t192))
% 0.37/0.64  (define @t197 () (or @t182 @t180 @t196))
% 0.37/0.64  (define @t198 () (=> @t194 @t192))
% 0.37/0.64  (define @t199 () (and @t181 @t154 @t192))
% 0.37/0.64  (define @t200 () (and @t189 @t187))
% 0.37/0.64  (define @t201 () (+ @t186 1))
% 0.37/0.64  (define @t202 () (>= @t139 @t141))
% 0.37/0.64  (define @t203 () (+ @t193 1))
% 0.37/0.64  (define @t204 () (>= @t138 @t141))
% 0.37/0.64  (define @t205 () (not @t175))
% 0.37/0.64  (define @t206 () (and @t176 @t205))
% 0.37/0.64  (define @t207 () (>= @t38 @t161))
% 0.37/0.64  (assume @p1 (forall (@list @t1) (tptp.sort1 @t1 (tptp.witness1 @t1))))
% 0.37/0.64  (assume @p2 (forall (@list @t1 @t4 @t3 @t2) (tptp.sort1 @t1 (tptp.match_bool1 @t1 @t4 @t3 @t2))))
% 0.37/0.64  (assume @p3 (forall @t7 (=> (tptp.sort1 @t1 @t5) (= (tptp.match_bool1 @t1 tptp.true1 @t5 @t6) @t5))))
% 0.37/0.64  (assume @p4 (forall @t7 (=> (tptp.sort1 @t1 @t6) (= (tptp.match_bool1 @t1 tptp.false1 @t5 @t6) @t6))))
% 0.37/0.64  (assume @p5 (not (= tptp.true1 tptp.false1)))
% 0.37/0.64  (assume @p6 (forall (@list @t8) (or (= @t8 tptp.true1) (= @t8 tptp.false1))))
% 0.37/0.64  (assume @p7 (forall (@list @t9) (= @t9 tptp.tuple03)))
% 0.37/0.64  (assume @p8 (forall @t15 (=> @t14 (=> @t13 (<= (* @t12 @t10) (* @t11 @t10))))))
% 0.37/0.64  (assume @p9 (forall (@list @t1 @t17 @t16 @t3) (tptp.sort1 @t17 (tptp.get @t17 @t1 @t16 @t3))))
% 0.37/0.64  (assume @p10 (forall (@list @t1 @t17 @t16 @t3 @t2) (tptp.sort1 @t18 (tptp.set @t17 @t1 @t16 @t3 @t2))))
% 0.37/0.64  (assume @p11 (forall (@list @t1 @t17 @t22 @t21 @t20 @t19) (=> @t25 (=> @t24 (= @t23 @t19)))))
% 0.37/0.64  (assume @p12 (forall (@list @t1 @t17 @t22 @t21 @t20) (=> (tptp.sort1 @t1 @t21) (=> (tptp.sort1 @t1 @t20) (forall (@list @t19) (=> (not @t24) (= @t23 (tptp.get @t17 @t1 @t22 @t20))))))))
% 0.37/0.64  (assume @p13 (forall (@list @t1 @t17 @t16) (tptp.sort1 @t18 (tptp.const @t17 @t1 @t16))))
% 0.37/0.64  (assume @p14 (forall (@list @t1 @t17 @t19 @t21) (=> @t25 (= (tptp.get @t17 @t1 (tptp.const @t17 @t1 @t19) @t21) @t19))))
% 0.37/0.64  (assume @p15 (forall @t27 (tptp.sort1 @t26 (tptp.mk_array1 @t1 @t12 @t3))))
% 0.37/0.64  (assume @p16 (forall @t31 (= (tptp.length1 @t1 @t30) @t28)))
% 0.37/0.64  (assume @p17 (forall @t33 (tptp.sort1 @t32 (tptp.elts @t1 @t16))))
% 0.37/0.64  (assume @p18 (forall @t31 (=> (tptp.sort1 @t32 @t29) (= (tptp.elts @t1 @t30) @t29))))
% 0.37/0.64  (assume @p19 (forall @t35 (= @t34 (tptp.mk_array1 @t1 (tptp.length1 @t1 @t34) (tptp.elts @t1 @t34)))))
% 0.37/0.64  (assume @p20 (forall (@list @t1 @t16 @t36) (tptp.sort1 @t1 (tptp.get2 @t1 @t16 @t36))))
% 0.37/0.64  (assume @p21 (forall @t37 (tptp.sort1 tptp.int (tptp.t2tb @t12))))
% 0.37/0.64  (assume @p22 (forall @t40 (= (tptp.tb2t @t39) @t38)))
% 0.37/0.64  (assume @p23 (forall @t42 (= (tptp.t2tb (tptp.tb2t @t41)) @t41)))
% 0.37/0.64  (assume @p24 (forall (@list @t1 @t21 @t38) (= (tptp.get2 @t1 @t21 @t38) (tptp.get @t1 tptp.int @t43 @t39))))
% 0.37/0.64  (assume @p25 (forall (@list @t1 @t16 @t36 @t2) (tptp.sort1 @t26 (tptp.set2 @t1 @t16 @t36 @t2))))
% 0.37/0.64  (assume @p26 (forall (@list @t1 @t21 @t38 @t44) (= (tptp.set2 @t1 @t21 @t38 @t44) (tptp.mk_array1 @t1 @t45 (tptp.set @t1 tptp.int @t43 @t39 @t44)))))
% 0.37/0.64  (assume @p27 (forall @t27 (tptp.sort1 @t26 (tptp.make1 @t1 @t12 @t3))))
% 0.37/0.64  (assume @p28 (forall (@list @t1 @t46 @t44) (= (tptp.make1 @t1 @t46 @t44) (tptp.mk_array1 @t1 @t46 (tptp.const @t1 tptp.int @t44)))))
% 0.37/0.64  (assume @p29 (forall @t48 (tptp.le3 @t47 @t47)))
% 0.37/0.64  (assume @p30 (forall (@list @t47 @t50 @t49) (=> @t51 (=> (tptp.le3 @t50 @t49) (tptp.le3 @t47 @t49)))))
% 0.37/0.64  (assume @p31 (forall (@list @t47 @t50) (or @t51 (tptp.le3 @t50 @t47))))
% 0.37/0.64  (assume @p32 (forall @t48 (tptp.sort1 tptp.elt5 (tptp.t2tb7 @t47))))
% 0.37/0.64  (assume @p33 (forall (@list @t52) (= (tptp.tb2t7 (tptp.t2tb7 @t52)) @t52)))
% 0.37/0.64  (assume @p34 (forall @t42 (=> (tptp.sort1 tptp.elt5 @t41) (= (tptp.t2tb7 (tptp.tb2t7 @t41)) @t41))))
% 0.37/0.64  (assume @p35 (forall (@list @t53) (tptp.sort1 (tptp.array tptp.elt5) (tptp.t2tb8 @t53))))
% 0.37/0.64  (assume @p36 (forall (@list @t54) (= (tptp.tb2t8 (tptp.t2tb8 @t54)) @t54)))
% 0.37/0.64  (assume @p37 (forall @t42 (= (tptp.t2tb8 (tptp.tb2t8 @t41)) @t41)))
% 0.37/0.64  (assume @p38 (forall (@list @t56 @t61 @t28) (= (tptp.sorted_sub3 @t56 @t61 @t28) (forall @t62 (=> (and (<= @t61 @t58) @t60 (< @t55 @t28)) @t59)))))
% 0.37/0.64  (assume @p39 (forall (@list @t56) (= (tptp.sorted3 @t56) (forall @t62 (=> (and (<= 0 @t58) @t60 (< @t55 (tptp.length1 tptp.elt5 @t57))) @t59)))))
% 0.37/0.64  (assume @p40 (forall @t33 (tptp.sort1 @t63 (tptp.mk_ref @t1 @t16))))
% 0.37/0.64  (assume @p41 (forall @t33 (tptp.sort1 @t1 (tptp.contents @t1 @t16))))
% 0.37/0.64  (assume @p42 (forall @t35 (=> (tptp.sort1 @t1 @t34) (= (tptp.contents @t1 (tptp.mk_ref @t1 @t34)) @t34))))
% 0.37/0.64  (assume @p43 (forall @t35 (=> (tptp.sort1 @t63 @t34) (= @t34 (tptp.mk_ref @t1 (tptp.contents @t1 @t34))))))
% 0.37/0.64  (assume @p44 (forall @t66 (=> (<= @t28 @t61) @t65)))
% 0.37/0.64  (assume @p45 (forall @t66 (=> @t71 (=> @t70 (=> (not @t69) (= @t64 @t68))))))
% 0.37/0.64  (assume @p46 (forall @t66 (=> @t70 (=> @t69 (= @t64 (+ 1 @t68))))))
% 0.37/0.64  (assume @p47 (forall @t66 (=> (<= @t61 @t28) (and (<= 0 @t64) (<= @t64 (- @t28 @t61))))))
% 0.37/0.64  (assume @p48 (forall (@list @t1 @t44 @t22 @t61 @t72 @t28) (=> (and (<= @t61 @t72) (<= @t72 @t28)) (= @t64 (+ (tptp.occ1 @t1 @t44 @t22 @t61 @t72) (tptp.occ1 @t1 @t44 @t22 @t72 @t28))))))
% 0.37/0.64  (assume @p49 (forall @t66 (=> @t71 (=> (forall @t40 (=> @t77 (not @t74))) @t65))))
% 0.37/0.64  (assume @p50 (forall @t66 (=> @t71 (=> (< 0 @t64) (exists @t40 (and @t76 @t75 @t74))))))
% 0.37/0.64  (assume @p51 (forall (@list @t1 @t22 @t61 @t28 @t38) (=> @t77 (< 0 (tptp.occ1 @t1 @t73 @t22 @t61 @t28)))))
% 0.37/0.64  (assume @p52 (forall (@list @t1 @t44 @t79 @t78 @t61 @t28) (=> (forall @t40 (=> @t77 (= (tptp.get @t1 tptp.int @t79 @t39) (tptp.get @t1 tptp.int @t78 @t39)))) @t80)))
% 0.37/0.64  (assume @p53 (forall (@list @t1 @t79 @t78 @t61 @t28) (and (=> @t81 (forall @t82 @t80)) (=> (forall @t82 (=> @t71 @t80)) @t81))))
% 0.37/0.64  (assume @p54 (forall (@list @t1 @t21 @t20 @t83 @t61 @t28) (=> @t84 (=> (tptp.permut2 @t1 @t20 @t83 @t61 @t28) (tptp.permut2 @t1 @t21 @t83 @t61 @t28)))))
% 0.37/0.64  (assume @p55 (forall (@list @t1 @t21 @t20 @t61 @t28 @t38) (=> @t84 (=> @t77 (exists (@list @t86) (and @t91 @t90 @t89))))))
% 0.37/0.64  (assume @p56 (forall @t93 (= (tptp.map_eq_sub1 @t1 @t21 @t20 @t61 @t28) (forall @t40 (=> @t77 (= @t92 @t85))))))
% 0.37/0.64  (assume @p57 (forall @t93 (= (tptp.array_eq_sub1 @t1 @t21 @t20 @t61 @t28) (and @t99 @t98 @t97 @t96 @t95 (tptp.map_eq_sub1 @t1 @t43 @t94 @t61 @t28)))))
% 0.37/0.64  (assume @p58 (forall @t100 (= (tptp.array_eq @t1 @t21 @t20) (and @t99 (tptp.map_eq_sub1 @t1 @t43 @t94 0 @t45)))))
% 0.37/0.64  (assume @p59 (forall (@list @t1 @t21 @t20 @t61 @t28 @t38 @t86) (= (tptp.exchange2 @t1 @t21 @t20 @t61 @t28 @t38 @t86) (and @t76 @t75 @t91 @t90 (= @t92 (tptp.get @t1 tptp.int @t20 @t87)) @t89 (forall @t103 (=> (and (<= @t61 @t101) (< @t101 @t28)) (=> (not (= @t101 @t38)) (=> (not (= @t101 @t86)) (= (tptp.get @t1 tptp.int @t21 @t102) (tptp.get @t1 tptp.int @t20 @t102))))))))))
% 0.37/0.64  (assume @p60 (forall (@list @t1 @t21 @t61 @t28 @t38 @t86) (=> @t77 (=> @t104 (tptp.exchange2 @t1 @t21 (tptp.set @t1 tptp.int (tptp.set @t1 tptp.int @t21 @t39 @t88) @t87 @t92) @t61 @t28 @t38 @t86)))))
% 0.37/0.64  (assume @p61 (forall @t106 (= @t105 (and @t99 (tptp.exchange2 @t1 @t43 @t94 0 @t45 @t38 @t86)))))
% 0.37/0.64  (assume @p62 (forall @t93 (= @t107 (and @t99 @t98 @t97 @t96 @t95 (tptp.permut2 @t1 @t43 @t94 @t61 @t28)))))
% 0.37/0.64  (assume @p63 (forall @t93 (= @t108 (and (tptp.map_eq_sub1 @t1 @t43 @t94 0 @t61) @t107 (tptp.map_eq_sub1 @t1 @t43 @t94 @t28 @t45)))))
% 0.37/0.64  (assume @p64 (forall @t100 (= @t109 (and @t99 (tptp.permut2 @t1 @t43 @t94 0 @t45)))))
% 0.37/0.64  (assume @p65 (forall (@list @t1 @t21 @t20 @t38 @t86 @t61 @t28) (=> @t105 (=> @t77 (=> @t104 (=> @t98 (=> @t95 @t108)))))))
% 0.37/0.64  (assume @p66 (forall (@list @t1 @t21 @t20 @t113 @t112 @t111 @t110) (=> (tptp.permut_sub1 @t1 @t21 @t20 @t113 @t112) (=> (and (<= 0 @t111) (<= @t111 @t113)) (=> (and (<= @t112 @t110) (<= @t110 @t45)) (tptp.permut_sub1 @t1 @t21 @t20 @t111 @t110))))))
% 0.37/0.64  (assume @p67 (forall @t106 (=> @t105 @t109)))
% 0.37/0.64  (assume @p68 (forall @t37 (and (=> @t115 (= @t114 @t12)) (=> (not @t115) (= @t114 (- @t12))))))
% 0.37/0.64  (assume @p69 (forall @t116 (= (<= @t114 @t11) (and (<= (- @t11) @t12) @t14))))
% 0.37/0.64  (assume @p70 (forall @t37 (<= 0 @t114)))
% 0.37/0.64  (assume @p71 (forall @t116 (=> @t119 (= @t12 (+ (* @t11 @t118) @t117)))))
% 0.37/0.64  (assume @p72 (forall @t116 (=> @t122 (and @t120 (<= @t118 @t12)))))
% 0.37/0.64  (assume @p73 (forall @t116 (=> @t119 (and (< (- @t123) @t117) (< @t117 @t123)))))
% 0.37/0.64  (assume @p74 (forall @t116 (=> @t122 @t120)))
% 0.37/0.64  (assume @p75 (forall @t116 (=> (and @t124 @t121) (<= @t118 0))))
% 0.37/0.64  (assume @p76 (forall @t116 (=> (and @t115 @t119) (<= 0 @t117))))
% 0.37/0.64  (assume @p77 (forall @t116 (=> (and @t124 @t119) (<= @t117 0))))
% 0.37/0.64  (assume @p78 (forall @t116 (=> @t119 (<= (tptp.abs (* @t118 @t11)) @t114))))
% 0.37/0.64  (assume @p79 (forall @t37 (= (tptp.div @t12 1) @t12)))
% 0.37/0.64  (assume @p80 (forall @t37 (= (tptp.mod @t12 1) 0)))
% 0.37/0.64  (assume @p81 (forall @t116 (=> @t125 (= @t118 0))))
% 0.37/0.64  (assume @p82 (forall @t116 (=> @t125 (= @t117 @t12))))
% 0.37/0.64  (assume @p83 (forall @t15 (=> @t127 (= (tptp.div @t126 @t12) (+ @t11 (tptp.div @t10 @t12))))))
% 0.37/0.64  (assume @p84 (forall @t15 (=> @t127 (= (tptp.mod @t126 @t12) (tptp.mod @t10 @t12)))))
% 0.37/0.64  (assume @p85 (forall @t116 (and (<= @t12 @t128) (<= @t11 @t128))))
% 0.37/0.64  (assume @p86 (forall @t116 (or @t130 @t129)))
% 0.37/0.64  (assume @p87 (forall @t116 (and (<= @t131 @t12) (<= @t131 @t11))))
% 0.37/0.64  (assume @p88 (forall @t116 (or @t133 @t132)))
% 0.37/0.64  (assume @p89 (forall @t116 (=> @t134 @t130)))
% 0.37/0.64  (assume @p90 (forall @t116 (=> @t14 @t129)))
% 0.37/0.64  (assume @p91 (forall @t116 (=> @t14 @t133)))
% 0.37/0.64  (assume @p92 (forall @t116 (=> @t134 @t132)))
% 0.37/0.64  (assume @p93 (forall @t116 (=> @t134 (= @t128 (tptp.max @t11 @t12)))))
% 0.37/0.64  (assume @p94 (forall @t116 (=> @t134 (= @t131 (tptp.min @t11 @t12)))))
% 0.37/0.64  (assume @p95 (forall (@list @t135) (tptp.sort1 @t136 (tptp.t2tb9 @t135))))
% 0.37/0.64  (assume @p96 (forall (@list @t137) (= (tptp.tb2t9 (tptp.t2tb9 @t137)) @t137)))
% 0.37/0.64  (assume @p97 (forall @t42 (=> (tptp.sort1 @t136 @t41) (= (tptp.t2tb9 (tptp.tb2t9 @t41)) @t41))))
% 0.37/0.64  (assume @p98 @t173)
% 0.37/0.64  (assume @p99 true)
% 0.37/0.64  (step @p100 :rule evaluate :args ((not true)))
% 0.37/0.64  (step @p101 :rule quant-unused-vars :args ((= (forall @t171 true) true)))
% 0.37/0.64  (step @p102 :rule bool-impl-true1 :args ((>= @t141 0)))
% 0.37/0.64  (step @p103 :rule quant-unused-vars :args ((= (forall @t168 true) true)))
% 0.37/0.64  (step @p104 :rule bool-impl-true1 :args ((and (>= @t161 0) @t179 (forall @t40 @t178))))
% 0.37/0.64  (step @p105 :rule quant-unused-vars :args ((= (forall @t157 true) true)))
% 0.37/0.64  (step @p106 :rule bool-or-taut2 :args ((or @t182 @t180) @t192 (or @t195) false))
% 0.37/0.64  (step @p107 :rule aci_norm :args ((= (or @t197 (or @t195 @t192)) (or @t182 @t180 @t196 @t195 @t192))))
% 0.37/0.64  (step @p108 :rule trans :premises (@p107 @p106))
% 0.37/0.64  (step @p109 :rule bool-impl-elim :args (@t194 @t192))
% 0.37/0.64  (step @p110 :rule aci_norm :args ((= (or @t182 (or @t180 @t196)) @t197)))
% 0.37/0.64  (step @p111 :rule bool-and-de-morgan :args (@t154 @t192 true))
% 0.37/0.64  (step @p112 :rule refl :args (@t182))
% 0.37/0.64  (step @p113 :rule nary_cong :premises (@p112 @p111) :args ((or @t182 (not (and @t154 @t192)))))
% 0.37/0.64  (step @p114 :rule bool-and-de-morgan :args (@t181 @t154 (and @t192)))
% 0.37/0.64  (step @p115 :rule trans :premises (@p114 @p113))
% 0.37/0.64  (step @p116 :rule trans :premises (@p115 @p110))
% 0.37/0.64  (step @p117 :rule nary_cong :premises (@p116 @p109) :args ((or (not @t199) @t198)))
% 0.37/0.64  (step @p118 :rule trans :premises (@p117 @p108))
% 0.37/0.64  (step @p119 :rule bool-impl-elim :args (@t199 @t198))
% 0.37/0.64  (step @p120 :rule trans :premises (@p119 @p118))
% 0.37/0.64  (step @p121 :rule cong :premises (@p120) :args ((forall @t157 (=> @t199 @t198))))
% 0.37/0.64  (step @p122 :rule trans :premises (@p121 @p105))
% 0.37/0.64  (step @p123 :rule aci_norm :args ((= (or (or @t190 @t188) @t185) @t191)))
% 0.37/0.64  (step @p124 :rule refl :args (@t185))
% 0.37/0.64  (step @p125 :rule bool-and-de-morgan :args (@t189 @t187 true))
% 0.37/0.64  (step @p126 :rule nary_cong :premises (@p125 @p124) :args ((or (not @t200) @t185)))
% 0.37/0.64  (step @p127 :rule trans :premises (@p126 @p123))
% 0.37/0.64  (step @p128 :rule bool-impl-elim :args (@t200 @t185))
% 0.37/0.64  (step @p129 :rule trans :premises (@p128 @p127))
% 0.37/0.64  (step @p130 :rule cong :premises (@p129) :args ((forall @t103 (=> @t200 @t185))))
% 0.37/0.64  (step @p131 :rule arith_poly_norm :args ((= (+ @t183 @t138) @t184)))
% 0.37/0.64  (step @p132 :rule refl :args (@t138))
% 0.37/0.64  (step @p133 :rule arith_poly_norm :args ((= @t139 @t183)))
% 0.37/0.64  (step @p134 :rule nary_cong :premises (@p133 @p132) :args (@t140))
% 0.37/0.64  (step @p135 :rule trans :premises (@p134 @p131))
% 0.37/0.64  (step @p136 :rule refl :args (@t141))
% 0.37/0.64  (step @p137 :rule cong :premises (@p136 @p135) :args (@t142))
% 0.37/0.64  (step @p138 :rule refl :args (@t145))
% 0.37/0.64  (step @p139 :rule cong :premises (@p138 @p133 @p137) :args (@t146))
% 0.37/0.64  (step @p140 :rule bool-double-not-elim :args (@t187))
% 0.37/0.64  (step @p141 :rule arith_poly_norm :args ((= (* -1 (- 1 @t201)) (* -1 (- @t183 @t141)))))
% 0.37/0.64  (step @p142 :rule arith_poly_norm_rel :premises (@p141) :args ((= (>= 1 @t201) (>= @t183 @t141))))
% 0.37/0.64  (step @p143 :rule arith-geq-tighten :args (@t186 1))
% 0.37/0.64  (step @p144 :rule trans :premises (@p143 @p142))
% 0.37/0.64  (step @p145 :rule symm :premises (@p144))
% 0.37/0.64  (step @p146 :rule cong :premises (@p133 @p136) :args (@t202))
% 0.37/0.64  (step @p147 :rule trans :premises (@p146 @p145))
% 0.37/0.64  (step @p148 :rule cong :premises (@p147) :args ((not @t202)))
% 0.37/0.64  (step @p149 :rule trans :premises (@p148 @p140))
% 0.37/0.64  (step @p150 :rule arith-elim-lt :args (@t139 @t141))
% 0.37/0.64  (step @p151 :rule trans :premises (@p150 @p149))
% 0.37/0.64  (step @p152 :rule arith-elim-leq :args (0 @t183))
% 0.37/0.64  (step @p153 :rule refl :args (0))
% 0.37/0.64  (step @p154 :rule cong :premises (@p153 @p133) :args (@t147))
% 0.37/0.64  (step @p155 :rule trans :premises (@p154 @p152))
% 0.37/0.64  (step @p156 :rule nary_cong :premises (@p155 @p151) :args (@t148))
% 0.37/0.64  (step @p157 :rule cong :premises (@p156 @p139) :args (@t149))
% 0.37/0.64  (step @p158 :rule cong :premises (@p157) :args (@t150))
% 0.37/0.64  (step @p159 :rule trans :premises (@p158 @p130))
% 0.37/0.64  (step @p160 :rule bool-double-not-elim :args (@t194))
% 0.37/0.64  (step @p161 :rule arith_poly_norm :args ((= (* -1 (- 1 @t203)) (* -1 (- @t138 @t141)))))
% 0.37/0.64  (step @p162 :rule arith_poly_norm_rel :premises (@p161) :args ((= (>= 1 @t203) @t204)))
% 0.37/0.64  (step @p163 :rule arith-geq-tighten :args (@t193 1))
% 0.37/0.64  (step @p164 :rule trans :premises (@p163 @p162))
% 0.37/0.64  (step @p165 :rule symm :premises (@p164))
% 0.37/0.64  (step @p166 :rule cong :premises (@p165) :args ((not @t204)))
% 0.37/0.64  (step @p167 :rule trans :premises (@p166 @p160))
% 0.37/0.64  (step @p168 :rule arith-elim-lt :args (@t138 @t141))
% 0.37/0.64  (step @p169 :rule trans :premises (@p168 @p167))
% 0.37/0.64  (step @p170 :rule cong :premises (@p169 @p159) :args (@t151))
% 0.37/0.64  (step @p171 :rule refl :args (@t154))
% 0.37/0.64  (step @p172 :rule arith-elim-leq :args (1 @t138))
% 0.37/0.64  (step @p173 :rule nary_cong :premises (@p172 @p171 @p159) :args (@t155))
% 0.37/0.64  (step @p174 :rule cong :premises (@p173 @p170) :args (@t156))
% 0.37/0.64  (step @p175 :rule cong :premises (@p174) :args (@t158))
% 0.37/0.64  (step @p176 :rule trans :premises (@p175 @p122))
% 0.37/0.64  (step @p177 :rule aci_norm :args ((= (or (or @t177 @t175) @t160) @t178)))
% 0.37/0.64  (step @p178 :rule refl :args (@t160))
% 0.37/0.64  (step @p179 :rule bool-double-not-elim :args (@t175))
% 0.37/0.64  (step @p180 :rule refl :args (@t177))
% 0.37/0.64  (step @p181 :rule nary_cong :premises (@p180 @p179) :args ((or @t177 (not @t205))))
% 0.37/0.64  (step @p182 :rule bool-and-de-morgan :args (@t176 @t205 true))
% 0.37/0.64  (step @p183 :rule trans :premises (@p182 @p181))
% 0.37/0.64  (step @p184 :rule nary_cong :premises (@p183 @p178) :args ((or (not @t206) @t160)))
% 0.37/0.64  (step @p185 :rule trans :premises (@p184 @p177))
% 0.37/0.64  (step @p186 :rule bool-impl-elim :args (@t206 @t160))
% 0.37/0.64  (step @p187 :rule trans :premises (@p186 @p185))
% 0.37/0.64  (step @p188 :rule cong :premises (@p187) :args ((forall @t40 (=> @t206 @t160))))
% 0.37/0.64  (step @p189 :rule refl :args (@t160))
% 0.37/0.64  (step @p190 :rule arith_poly_norm :args ((= (* 1 (- @t38 @t161)) (* 1 (- @t174 0)))))
% 0.37/0.64  (step @p191 :rule arith_poly_norm_rel :premises (@p190) :args ((= @t207 @t175)))
% 0.37/0.64  (step @p192 :rule cong :premises (@p191) :args ((not @t207)))
% 0.37/0.64  (step @p193 :rule arith-elim-lt :args (@t38 @t161))
% 0.37/0.64  (step @p194 :rule trans :premises (@p193 @p192))
% 0.37/0.64  (step @p195 :rule arith-elim-leq :args (0 @t38))
% 0.37/0.64  (step @p196 :rule nary_cong :premises (@p195 @p194) :args (@t162))
% 0.37/0.64  (step @p197 :rule cong :premises (@p196 @p189) :args (@t163))
% 0.37/0.64  (step @p198 :rule cong :premises (@p197) :args (@t164))
% 0.37/0.64  (step @p199 :rule trans :premises (@p198 @p188))
% 0.37/0.64  (step @p200 :rule arith_poly_norm :args ((= (* 1 (- @t161 @t141)) (* -1 (- @t141 @t161)))))
% 0.37/0.64  (step @p201 :rule arith_poly_norm_rel :premises (@p200) :args ((= @t165 @t179)))
% 0.37/0.64  (step @p202 :rule arith-elim-leq :args (0 @t161))
% 0.37/0.64  (step @p203 :rule nary_cong :premises (@p202 @p201 @p199) :args (@t166))
% 0.37/0.64  (step @p204 :rule cong :premises (@p203 @p176) :args (@t167))
% 0.37/0.64  (step @p205 :rule trans :premises (@p204 @p104))
% 0.37/0.64  (step @p206 :rule cong :premises (@p205) :args (@t169))
% 0.37/0.64  (step @p207 :rule trans :premises (@p206 @p103))
% 0.37/0.64  (step @p208 :rule arith-elim-leq :args (0 @t141))
% 0.37/0.64  (step @p209 :rule cong :premises (@p208 @p207) :args (@t170))
% 0.37/0.64  (step @p210 :rule trans :premises (@p209 @p102))
% 0.37/0.64  (step @p211 :rule cong :premises (@p210) :args (@t172))
% 0.37/0.64  (step @p212 :rule trans :premises (@p211 @p101))
% 0.37/0.64  (step @p213 :rule cong :premises (@p212) :args (@t173))
% 0.37/0.64  (step @p214 :rule trans :premises (@p213 @p100))
% 0.37/0.64  (step @p215 false :rule eq_resolve :premises (@p98 @p214))
% 0.37/0.64  )
% 0.37/0.64  % SZS output end Proof
% 0.37/0.64  % cvc5 exiting
%------------------------------------------------------------------------------