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cvc5---1.3.4.THM-Prf.s

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%------------------------------------------------------------------------------
% File     : cvc5---1.3.4
% Problem  : SWW597_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 : n001.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 45.84s 46.10s
% Output   : Proof 45.84s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : SWW597_2 : TPTP v9.2.1. Released v6.1.0.
% 0.12/0.13  % Command  : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.17/0.35  % Computer : n001.cluster.edu
% 0.17/0.35  % Model    : x86_64 x86_64
% 0.17/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.35  % Memory   : 8042.1875MB
% 0.17/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.17/0.35  % CPULimit : 300
% 0.17/0.35  % WCLimit  : 300
% 0.17/0.35  % DateTime : Tue Jun  2 22:18:05 EDT 2026
% 0.17/0.35  % CPUTime  : 
% 0.28/0.52  %----Proving TF0_ARI
% 45.84/46.10  --- Run --finite-model-find --decision=internal at 45...
% 45.84/46.10  --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 60...
% 45.84/46.10  % SZS status Theorem
% 45.84/46.10  % SZS output start Proof
% 45.84/46.10  (
% 45.84/46.10  (declare-sort tptp.array_color 0)
% 45.84/46.10  (declare-sort tptp.map_int_color 0)
% 45.84/46.10  (declare-sort tptp.tuple0 0)
% 45.84/46.10  (declare-sort tptp.color 0)
% 45.84/46.10  (declare-sort tptp.bool 0)
% 45.84/46.10  (declare-sort tptp.ty 0)
% 45.84/46.10  (declare-sort tptp.uni 0)
% 45.84/46.10  (declare-const tptp.t2tb3 (-> tptp.map_int_color tptp.uni))
% 45.84/46.10  (declare-const tptp.tb2t2 (-> tptp.uni tptp.color))
% 45.84/46.10  (declare-const tptp.color1 tptp.ty)
% 45.84/46.10  (declare-const tptp.t2tb1 (-> tptp.array_color tptp.uni))
% 45.84/46.10  (declare-const tptp.red tptp.color)
% 45.84/46.10  (declare-const tptp.white tptp.color)
% 45.84/46.10  (declare-const tptp.blue tptp.color)
% 45.84/46.10  (declare-const tptp.t2tb2 (-> tptp.color tptp.uni))
% 45.84/46.10  (declare-const tptp.match_color (-> tptp.ty tptp.color tptp.uni tptp.uni tptp.uni tptp.uni))
% 45.84/46.10  (declare-const tptp.permut_all (-> tptp.ty tptp.uni tptp.uni Bool))
% 45.84/46.10  (declare-const tptp.permut1 (-> tptp.ty tptp.uni tptp.uni Int Int Bool))
% 45.84/46.10  (declare-const tptp.tb2t3 (-> tptp.uni tptp.map_int_color))
% 45.84/46.10  (declare-const tptp.set (-> tptp.ty tptp.ty tptp.uni tptp.uni tptp.uni tptp.uni))
% 45.84/46.10  (declare-const tptp.const (-> tptp.ty tptp.ty tptp.uni tptp.uni))
% 45.84/46.10  (declare-const tptp.witness (-> tptp.ty tptp.uni))
% 45.84/46.10  (declare-const tptp.match_bool (-> tptp.ty tptp.bool tptp.uni tptp.uni tptp.uni))
% 45.84/46.10  (declare-const tptp.contents (-> tptp.ty tptp.uni tptp.uni))
% 45.84/46.10  (declare-const tptp.ref (-> tptp.ty tptp.ty))
% 45.84/46.10  (declare-const tptp.permut_sub (-> tptp.ty tptp.uni tptp.uni Int Int Bool))
% 45.84/46.10  (declare-const tptp.false tptp.bool)
% 45.84/46.10  (declare-const tptp.true tptp.bool)
% 45.84/46.10  (declare-const tptp.set1 (-> tptp.ty tptp.uni Int tptp.uni tptp.uni))
% 45.84/46.10  (declare-const tptp.map (-> tptp.ty tptp.ty tptp.ty))
% 45.84/46.10  (declare-const tptp.sort (-> tptp.ty tptp.uni Bool))
% 45.84/46.10  (declare-const tptp.monochrome (-> tptp.array_color Int Int tptp.color Bool))
% 45.84/46.10  (declare-const tptp.get (-> tptp.ty tptp.ty tptp.uni tptp.uni tptp.uni))
% 45.84/46.10  (declare-const tptp.length (-> tptp.ty tptp.uni Int))
% 45.84/46.10  (declare-const tptp.elts (-> tptp.ty tptp.uni tptp.uni))
% 45.84/46.10  (declare-const tptp.map_eq_sub (-> tptp.ty tptp.uni tptp.uni Int Int Bool))
% 45.84/46.10  (declare-const tptp.mk_array (-> tptp.ty Int tptp.uni tptp.uni))
% 45.84/46.10  (declare-const tptp.array (-> tptp.ty tptp.ty))
% 45.84/46.10  (declare-const tptp.get1 (-> tptp.ty tptp.uni Int tptp.uni))
% 45.84/46.10  (declare-const tptp.array_eq (-> tptp.ty tptp.uni tptp.uni Bool))
% 45.84/46.10  (declare-const tptp.exchange (-> tptp.ty tptp.uni tptp.uni Int Int Int Int Bool))
% 45.84/46.10  (declare-const tptp.int tptp.ty)
% 45.84/46.10  (declare-const tptp.mk_ref (-> tptp.ty tptp.uni tptp.uni))
% 45.84/46.10  (declare-const tptp.t2tb (-> Int tptp.uni))
% 45.84/46.10  (declare-const tptp.make (-> tptp.ty Int tptp.uni tptp.uni))
% 45.84/46.10  (declare-const tptp.tb2t1 (-> tptp.uni tptp.array_color))
% 45.84/46.10  (declare-const tptp.tuple02 tptp.tuple0)
% 45.84/46.10  (declare-const tptp.exchange1 (-> tptp.ty tptp.uni tptp.uni Int Int Bool))
% 45.84/46.10  (declare-const tptp.occ (-> tptp.ty tptp.uni tptp.uni Int Int Int))
% 45.84/46.10  (declare-const tptp.tb2t (-> tptp.uni Int))
% 45.84/46.10  (declare-const tptp.permut (-> tptp.ty tptp.uni tptp.uni Int Int Bool))
% 45.84/46.10  (declare-const tptp.array_eq_sub (-> tptp.ty tptp.uni tptp.uni Int Int Bool))
% 45.84/46.10  (define @t1 () (@var "A" tptp.ty))
% 45.84/46.10  (define @t2 () (@var "X2" tptp.uni))
% 45.84/46.10  (define @t3 () (@var "X1" tptp.uni))
% 45.84/46.10  (define @t4 () (@var "X" tptp.bool))
% 45.84/46.10  (define @t5 () (@var "Z" tptp.uni))
% 45.84/46.10  (define @t6 () (@var "Z1" tptp.uni))
% 45.84/46.10  (define @t7 () (tptp.sort @t1 @t5))
% 45.84/46.10  (define @t8 () (@list @t1 @t5 @t6))
% 45.84/46.10  (define @t9 () (tptp.sort @t1 @t6))
% 45.84/46.10  (define @t10 () (@var "U" tptp.bool))
% 45.84/46.10  (define @t11 () (@var "U" tptp.tuple0))
% 45.84/46.10  (define @t12 () (@var "Z" Int))
% 45.84/46.10  (define @t13 () (@var "Y" Int))
% 45.84/46.10  (define @t14 () (@var "X" Int))
% 45.84/46.10  (define @t15 () (@var "X" tptp.uni))
% 45.84/46.10  (define @t16 () (tptp.ref @t1))
% 45.84/46.10  (define @t17 () (@list @t1 @t15))
% 45.84/46.10  (define @t18 () (@var "U" tptp.uni))
% 45.84/46.10  (define @t19 () (@list @t1 @t18))
% 45.84/46.10  (define @t20 () (@var "B" tptp.ty))
% 45.84/46.10  (define @t21 () (tptp.map @t1 @t20))
% 45.84/46.10  (define @t22 () (@var "B1" tptp.uni))
% 45.84/46.10  (define @t23 () (@var "A2" tptp.uni))
% 45.84/46.10  (define @t24 () (@var "A1" tptp.uni))
% 45.84/46.10  (define @t25 () (@var "M" tptp.uni))
% 45.84/46.10  (define @t26 () (tptp.get @t20 @t1 (tptp.set @t20 @t1 @t25 @t24 @t22) @t23))
% 45.84/46.10  (define @t27 () (= @t24 @t23))
% 45.84/46.10  (define @t28 () (tptp.sort @t20 @t22))
% 45.84/46.10  (define @t29 () (tptp.array @t1))
% 45.84/46.10  (define @t30 () (@list @t1 @t14 @t3))
% 45.84/46.10  (define @t31 () (@var "U" Int))
% 45.84/46.10  (define @t32 () (@var "U1" tptp.uni))
% 45.84/46.10  (define @t33 () (tptp.mk_array @t1 @t31 @t32))
% 45.84/46.10  (define @t34 () (@list @t1 @t31 @t32))
% 45.84/46.10  (define @t35 () (tptp.map tptp.int @t1))
% 45.84/46.10  (define @t36 () (tptp.elts @t1 @t33))
% 45.84/46.10  (define @t37 () (tptp.sort @t35 @t32))
% 45.84/46.10  (define @t38 () (=> @t37 (= @t36 @t32)))
% 45.84/46.10  (define @t39 () (forall @t34 @t38))
% 45.84/46.10  (define @t40 () (@var "X1" Int))
% 45.84/46.10  (define @t41 () (@var "I" Int))
% 45.84/46.10  (define @t42 () (tptp.t2tb @t41))
% 45.84/46.10  (define @t43 () (@list @t41))
% 45.84/46.10  (define @t44 () (@var "J" tptp.uni))
% 45.84/46.10  (define @t45 () (@list @t44))
% 45.84/46.10  (define @t46 () (tptp.elts @t1 @t24))
% 45.84/46.10  (define @t47 () (@var "V" tptp.uni))
% 45.84/46.10  (define @t48 () (tptp.length @t1 @t24))
% 45.84/46.10  (define @t49 () (@var "N" Int))
% 45.84/46.10  (define @t50 () (@var "K" Int))
% 45.84/46.10  (define @t51 () (tptp.t2tb @t50))
% 45.84/46.10  (define @t52 () (@var "J" Int))
% 45.84/46.10  (define @t53 () (@var "L" Int))
% 45.84/46.10  (define @t54 () (@list @t50))
% 45.84/46.10  (define @t55 () (tptp.get @t1 tptp.int @t23 @t42))
% 45.84/46.10  (define @t56 () (tptp.t2tb @t52))
% 45.84/46.10  (define @t57 () (tptp.get @t1 tptp.int @t24 @t56))
% 45.84/46.10  (define @t58 () (= @t57 @t55))
% 45.84/46.10  (define @t59 () (tptp.get @t1 tptp.int @t24 @t42))
% 45.84/46.10  (define @t60 () (< @t52 @t31))
% 45.84/46.10  (define @t61 () (<= @t53 @t52))
% 45.84/46.10  (define @t62 () (< @t41 @t31))
% 45.84/46.10  (define @t63 () (<= @t53 @t41))
% 45.84/46.10  (define @t64 () (and @t61 @t60))
% 45.84/46.10  (define @t65 () (and @t63 @t62))
% 45.84/46.10  (define @t66 () (tptp.elts @t1 @t23))
% 45.84/46.10  (define @t67 () (= @t48 (tptp.length @t1 @t23)))
% 45.84/46.10  (define @t68 () (tptp.exchange1 @t1 @t24 @t23 @t41 @t52))
% 45.84/46.10  (define @t69 () (@list @t1 @t24 @t23 @t41 @t52))
% 45.84/46.10  (define @t70 () (tptp.occ @t1 @t47 @t25 @t53 @t31))
% 45.84/46.10  (define @t71 () (= @t70 0))
% 45.84/46.10  (define @t72 () (@list @t1 @t47 @t25 @t53 @t31))
% 45.84/46.10  (define @t73 () (- @t31 1))
% 45.84/46.10  (define @t74 () (tptp.occ @t1 @t47 @t25 @t53 @t73))
% 45.84/46.10  (define @t75 () (= (tptp.get @t1 tptp.int @t25 (tptp.t2tb @t73)) @t47))
% 45.84/46.10  (define @t76 () (< @t53 @t31))
% 45.84/46.10  (define @t77 () (tptp.sort @t1 @t47))
% 45.84/46.10  (define @t78 () (@var "Mid" Int))
% 45.84/46.10  (define @t79 () (tptp.get @t1 tptp.int @t25 @t42))
% 45.84/46.10  (define @t80 () (= @t79 @t47))
% 45.84/46.10  (define @t81 () (@var "M2" tptp.uni))
% 45.84/46.10  (define @t82 () (@var "M1" tptp.uni))
% 45.84/46.10  (define @t83 () (= (tptp.occ @t1 @t47 @t82 @t53 @t31) (tptp.occ @t1 @t47 @t81 @t53 @t31)))
% 45.84/46.10  (define @t84 () (tptp.permut @t1 @t82 @t81 @t53 @t31))
% 45.84/46.10  (define @t85 () (@list @t47))
% 45.84/46.10  (define @t86 () (@var "A3" tptp.uni))
% 45.84/46.10  (define @t87 () (tptp.permut @t1 @t24 @t23 @t53 @t31))
% 45.84/46.10  (define @t88 () (@list @t1 @t24 @t23 @t53 @t31))
% 45.84/46.10  (define @t89 () (<= @t31 @t48))
% 45.84/46.10  (define @t90 () (<= 0 @t31))
% 45.84/46.10  (define @t91 () (<= @t53 @t48))
% 45.84/46.10  (define @t92 () (<= 0 @t53))
% 45.84/46.10  (define @t93 () (@list @t1 @t24 @t23))
% 45.84/46.10  (define @t94 () (tptp.permut1 @t1 @t24 @t23 @t53 @t31))
% 45.84/46.10  (define @t95 () (tptp.permut_sub @t1 @t24 @t23 @t53 @t31))
% 45.84/46.10  (define @t96 () (tptp.permut_all @t1 @t24 @t23))
% 45.84/46.10  (define @t97 () (@var "U2" Int))
% 45.84/46.10  (define @t98 () (@var "L2" Int))
% 45.84/46.10  (define @t99 () (@var "U1" Int))
% 45.84/46.10  (define @t100 () (@var "L1" Int))
% 45.84/46.10  (define @t101 () (@var "X3" tptp.uni))
% 45.84/46.10  (define @t102 () (@var "X" tptp.color))
% 45.84/46.10  (define @t103 () (@var "Z2" tptp.uni))
% 45.84/46.10  (define @t104 () (@list @t1 @t5 @t6 @t103))
% 45.84/46.10  (define @t105 () (@var "U" tptp.color))
% 45.84/46.10  (define @t106 () (@var "X" tptp.array_color))
% 45.84/46.10  (define @t107 () (@var "I" tptp.array_color))
% 45.84/46.10  (define @t108 () (tptp.t2tb1 (tptp.tb2t1 @t44)))
% 45.84/46.10  (define @t109 () (forall @t45 (= @t108 @t44)))
% 45.84/46.10  (define @t110 () (@var "I" tptp.color))
% 45.84/46.10  (define @t111 () (@var "C" tptp.color))
% 45.84/46.10  (define @t112 () (@var "A" tptp.array_color))
% 45.84/46.10  (define @t113 () (tptp.tb2t2 (tptp.get1 tptp.color1 (tptp.t2tb1 @t112) @t50)))
% 45.84/46.10  (define @t114 () (and (<= @t41 @t50) (< @t50 @t52)))
% 45.84/46.10  (define @t115 () (=> @t114 (= @t113 @t111)))
% 45.84/46.10  (define @t116 () (forall @t54 @t115))
% 45.84/46.10  (define @t117 () (tptp.monochrome @t112 @t41 @t52 @t111))
% 45.84/46.10  (define @t118 () (= @t117 @t116))
% 45.84/46.10  (define @t119 () (@list @t112 @t41 @t52 @t111))
% 45.84/46.10  (define @t120 () (forall @t119 @t118))
% 45.84/46.10  (define @t121 () (@var "X" tptp.map_int_color))
% 45.84/46.10  (define @t122 () (tptp.map tptp.int tptp.color1))
% 45.84/46.10  (define @t123 () (@var "I" tptp.map_int_color))
% 45.84/46.10  (define @t124 () (@var "I1" Int))
% 45.84/46.10  (define @t125 () (@var "B" Int))
% 45.84/46.10  (define @t126 () (@var "A2" tptp.map_int_color))
% 45.84/46.10  (define @t127 () (tptp.t2tb3 @t126))
% 45.84/46.10  (define @t128 () (@var "A" Int))
% 45.84/46.10  (define @t129 () (tptp.mk_array tptp.color1 @t128 @t127))
% 45.84/46.10  (define @t130 () (tptp.tb2t1 @t129))
% 45.84/46.10  (define @t131 () (tptp.monochrome @t130 @t125 @t124 tptp.white))
% 45.84/46.10  (define @t132 () (+ @t41 1))
% 45.84/46.10  (define @t133 () (= @t124 @t132))
% 45.84/46.10  (define @t134 () (=> @t133 @t131))
% 45.84/46.10  (define @t135 () (@list @t124))
% 45.84/46.10  (define @t136 () (forall @t135 @t134))
% 45.84/46.10  (define @t137 () (tptp.tb2t2 (tptp.get tptp.color1 tptp.int @t127 @t42)))
% 45.84/46.10  (define @t138 () (=> (= @t137 tptp.white) @t136))
% 45.84/46.10  (define @t139 () (<= 0 @t128))
% 45.84/46.10  (define @t140 () (and @t139 (<= 0 @t41) (< @t41 @t128)))
% 45.84/46.10  (define @t141 () (=> @t140 @t138))
% 45.84/46.10  (define @t142 () (@var "R" Int))
% 45.84/46.10  (define @t143 () (=> (< @t41 @t142) @t141))
% 45.84/46.10  (define @t144 () (@var "A1" tptp.map_int_color))
% 45.84/46.10  (define @t145 () (tptp.mk_array tptp.color1 @t128 (tptp.t2tb3 @t144)))
% 45.84/46.10  (define @t146 () (tptp.permut_all tptp.color1 @t145 @t129))
% 45.84/46.10  (define @t147 () (tptp.monochrome @t130 @t142 @t128 tptp.red))
% 45.84/46.10  (define @t148 () (tptp.monochrome @t130 @t125 @t41 tptp.white))
% 45.84/46.10  (define @t149 () (tptp.monochrome @t130 0 @t125 tptp.blue))
% 45.84/46.10  (define @t150 () (and (<= 0 @t125) (<= @t125 @t41) (<= @t41 @t142) (<= @t142 @t128) @t149 @t148 @t147 @t146))
% 45.84/46.10  (define @t151 () (=> @t150 @t143))
% 45.84/46.10  (define @t152 () (@list @t142 @t41 @t125 @t126))
% 45.84/46.10  (define @t153 () (forall @t152 @t151))
% 45.84/46.10  (define @t154 () (=> @t139 @t153))
% 45.84/46.10  (define @t155 () (@list @t128 @t144))
% 45.84/46.10  (define @t156 () (forall @t155 @t154))
% 45.84/46.10  (define @t157 () (not @t156))
% 45.84/46.10  (define @t158 () (@var "BOUND_VARIABLE_8682" Int))
% 45.84/46.10  (define @t159 () (@var "BOUND_VARIABLE_8684" Int))
% 45.84/46.10  (define @t160 () (@var "BOUND_VARIABLE_8686" tptp.map_int_color))
% 45.84/46.10  (define @t161 () (tptp.t2tb3 @t160))
% 45.84/46.10  (define @t162 () (tptp.mk_array tptp.color1 @t128 @t161))
% 45.84/46.10  (define @t163 () (tptp.tb2t1 @t162))
% 45.84/46.10  (define @t164 () (tptp.monochrome @t163 @t159 (+ 1 @t158) tptp.white))
% 45.84/46.10  (define @t165 () (not (= tptp.white (tptp.tb2t2 (tptp.get tptp.color1 tptp.int @t161 (tptp.t2tb @t158))))))
% 45.84/46.10  (define @t166 () (* -1 @t128))
% 45.84/46.10  (define @t167 () (+ @t166 @t158))
% 45.84/46.10  (define @t168 () (* -1 @t158))
% 45.84/46.10  (define @t169 () (+ @t128 @t168))
% 45.84/46.10  (define @t170 () (+ @t169 1))
% 45.84/46.10  (define @t171 () (+ @t158 @t166))
% 45.84/46.10  (define @t172 () (>= @t171 0))
% 45.84/46.10  (define @t173 () (not (>= @t158 0)))
% 45.84/46.10  (define @t174 () (@var "BOUND_VARIABLE_8680" Int))
% 45.84/46.10  (define @t175 () (* -1 @t174))
% 45.84/46.10  (define @t176 () (+ @t175 @t158))
% 45.84/46.10  (define @t177 () (+ @t174 @t168))
% 45.84/46.10  (define @t178 () (+ @t177 1))
% 45.84/46.10  (define @t179 () (+ @t158 @t175))
% 45.84/46.10  (define @t180 () (>= @t179 0))
% 45.84/46.10  (define @t181 () (not (tptp.permut_all tptp.color1 @t145 @t162)))
% 45.84/46.10  (define @t182 () (not (tptp.monochrome @t163 @t174 @t128 tptp.red)))
% 45.84/46.10  (define @t183 () (not (tptp.monochrome @t163 @t159 @t158 tptp.white)))
% 45.84/46.10  (define @t184 () (not (tptp.monochrome @t163 0 @t159 tptp.blue)))
% 45.84/46.10  (define @t185 () (not (>= (+ @t128 @t175) 0)))
% 45.84/46.10  (define @t186 () (>= @t179 1))
% 45.84/46.10  (define @t187 () (not (>= (+ @t158 (* -1 @t159)) 0)))
% 45.84/46.10  (define @t188 () (not (>= @t159 0)))
% 45.84/46.10  (define @t189 () (>= @t128 0))
% 45.84/46.10  (define @t190 () (not @t189))
% 45.84/46.10  (define @t191 () (or @t190 @t188 @t187 @t186 @t185 @t184 @t183 @t182 @t181 @t180 @t173 @t172 @t165 @t164))
% 45.84/46.10  (define @t192 () (or @t188 @t187 @t186 @t185 @t184 @t183 @t182 @t181 @t180 @t173 @t172 @t165 @t164))
% 45.84/46.10  (define @t193 () (or @t190 @t192))
% 45.84/46.10  (define @t194 () (@list @t128 @t144 @t174 @t158 @t159 @t160))
% 45.84/46.10  (define @t195 () (forall @t194 @t193))
% 45.84/46.10  (define @t196 () (@list @t174 @t158 @t159 @t160))
% 45.84/46.10  (define @t197 () (forall @t196 @t193))
% 45.84/46.10  (define @t198 () (forall @t196 @t192))
% 45.84/46.10  (define @t199 () (or @t190 @t198))
% 45.84/46.10  (define @t200 () (+ 1 @t41))
% 45.84/46.10  (define @t201 () (tptp.monochrome @t130 @t125 @t200 tptp.white))
% 45.84/46.10  (define @t202 () (= tptp.white @t137))
% 45.84/46.10  (define @t203 () (not @t202))
% 45.84/46.10  (define @t204 () (+ @t41 @t166))
% 45.84/46.10  (define @t205 () (>= @t204 0))
% 45.84/46.10  (define @t206 () (>= @t41 0))
% 45.84/46.10  (define @t207 () (not @t206))
% 45.84/46.10  (define @t208 () (* -1 @t142))
% 45.84/46.10  (define @t209 () (+ @t41 @t208))
% 45.84/46.10  (define @t210 () (>= @t209 0))
% 45.84/46.10  (define @t211 () (not @t146))
% 45.84/46.10  (define @t212 () (not @t147))
% 45.84/46.10  (define @t213 () (not @t148))
% 45.84/46.10  (define @t214 () (not @t149))
% 45.84/46.10  (define @t215 () (+ @t128 @t208))
% 45.84/46.10  (define @t216 () (>= @t215 0))
% 45.84/46.10  (define @t217 () (not @t216))
% 45.84/46.10  (define @t218 () (>= @t209 1))
% 45.84/46.10  (define @t219 () (+ @t41 (* -1 @t125)))
% 45.84/46.10  (define @t220 () (>= @t219 0))
% 45.84/46.10  (define @t221 () (not @t220))
% 45.84/46.10  (define @t222 () (>= @t125 0))
% 45.84/46.10  (define @t223 () (not @t222))
% 45.84/46.10  (define @t224 () (or @t223 @t221 @t218 @t217 @t214 @t213 @t212 @t211 @t210 @t207 @t205 @t203 @t201))
% 45.84/46.10  (define @t225 () (or @t190 (forall @t152 @t224)))
% 45.84/46.10  (define @t226 () (or @t190 @t224))
% 45.84/46.10  (define @t227 () (or @t223 @t221 @t218 @t217 @t214 @t213 @t212 @t211 @t210 @t190 @t207 @t205 @t203 @t201))
% 45.84/46.10  (define @t228 () (or @t210 @t190 @t207 @t205 @t203 @t201))
% 45.84/46.10  (define @t229 () (or @t190 @t207 @t205 @t203 @t201))
% 45.84/46.10  (define @t230 () (not @t205))
% 45.84/46.10  (define @t231 () (not @t230))
% 45.84/46.10  (define @t232 () (or @t190 @t207 @t231))
% 45.84/46.10  (define @t233 () (=> @t202 @t201))
% 45.84/46.10  (define @t234 () (and @t189 @t206 @t230))
% 45.84/46.10  (define @t235 () (=> @t234 @t233))
% 45.84/46.10  (define @t236 () (not @t210))
% 45.84/46.10  (define @t237 () (not @t218))
% 45.84/46.10  (define @t238 () (not @t237))
% 45.84/46.10  (define @t239 () (or @t223 @t221 @t238 @t217 @t214 @t213 @t212 @t211))
% 45.84/46.10  (define @t240 () (=> @t236 @t235))
% 45.84/46.10  (define @t241 () (and @t222 @t220 @t237 @t216 @t149 @t148 @t147 @t146))
% 45.84/46.10  (define @t242 () (+ -1 @t200))
% 45.84/46.10  (define @t243 () (= @t41 @t242))
% 45.84/46.10  (define @t244 () (not @t243))
% 45.84/46.10  (define @t245 () (or @t244 @t201))
% 45.84/46.10  (define @t246 () (+ -1 @t124))
% 45.84/46.10  (define @t247 () (= @t41 @t246))
% 45.84/46.10  (define @t248 () (not @t247))
% 45.84/46.10  (define @t249 () (= @t124 @t200))
% 45.84/46.10  (define @t250 () (* 1 (- @t124 @t200)))
% 45.84/46.10  (define @t251 () (* -1 (- @t41 @t246)))
% 45.84/46.10  (define @t252 () (or @t248 @t248 @t131))
% 45.84/46.10  (define @t253 () (or @t248 @t131))
% 45.84/46.10  (define @t254 () (>= @t41 @t128))
% 45.84/46.10  (define @t255 () (>= @t41 @t142))
% 45.84/46.10  (define @t256 () (+ @t142 1))
% 45.84/46.10  (define @t257 () (>= @t41 @t256))
% 45.84/46.10  (define @t258 () (forall @t194 (or @t190 @t188 @t187 (not (>= @t177 0)) @t185 @t184 @t183 @t182 @t181 (not (>= @t177 1)) @t173 (not (>= @t169 1)) @t165 @t164)))
% 45.84/46.10  (define @t259 () (@quantifiers_skolemize @t258 3))
% 45.84/46.10  (define @t260 () (tptp.t2tb @t259))
% 45.84/46.10  (define @t261 () (@quantifiers_skolemize @t258 5))
% 45.84/46.10  (define @t262 () (tptp.t2tb3 @t261))
% 45.84/46.10  (define @t263 () (tptp.get tptp.color1 tptp.int @t262 @t260))
% 45.84/46.10  (define @t264 () (tptp.tb2t2 @t263))
% 45.84/46.10  (define @t265 () (= tptp.white @t264))
% 45.84/46.10  (define @t266 () (+ 1 @t259))
% 45.84/46.10  (define @t267 () (@quantifiers_skolemize @t258 4))
% 45.84/46.10  (define @t268 () (@quantifiers_skolemize @t258 0))
% 45.84/46.10  (define @t269 () (tptp.mk_array tptp.color1 @t268 @t262))
% 45.84/46.10  (define @t270 () (tptp.tb2t1 @t269))
% 45.84/46.10  (define @t271 () (tptp.monochrome @t270 @t267 @t266 tptp.white))
% 45.84/46.10  (define @t272 () (not @t265))
% 45.84/46.10  (define @t273 () (* -1 @t259))
% 45.84/46.10  (define @t274 () (@quantifiers_skolemize @t258 2))
% 45.84/46.10  (define @t275 () (+ @t274 @t273))
% 45.84/46.10  (define @t276 () (tptp.monochrome @t270 @t267 @t259 tptp.white))
% 45.84/46.10  (define @t277 () (not @t276))
% 45.84/46.10  (define @t278 () (* -1 @t267))
% 45.84/46.10  (define @t279 () (or (not (>= @t268 0)) (not (>= @t267 0)) (not (>= (+ @t259 @t278) 0)) (not (>= @t275 0)) (not (>= (+ @t268 (* -1 @t274)) 0)) (not (tptp.monochrome @t270 0 @t267 tptp.blue)) @t277 (not (tptp.monochrome @t270 @t274 @t268 tptp.red)) (not (tptp.permut_all tptp.color1 (tptp.mk_array tptp.color1 @t268 (tptp.t2tb3 (@quantifiers_skolemize @t258 1))) @t269)) (not (>= @t275 1)) (not (>= @t259 0)) (not (>= (+ @t268 @t273) 1)) @t272 @t271))
% 45.84/46.10  (define @t280 () (@list true))
% 45.84/46.10  (define @t281 () (@list @t279))
% 45.84/46.10  (define @t282 () (= @t32 @t36))
% 45.84/46.10  (define @t283 () (tptp.elts tptp.color1 @t269))
% 45.84/46.10  (define @t284 () (= @t262 @t283))
% 45.84/46.10  (define @t285 () (tptp.sort @t122 @t262))
% 45.84/46.10  (define @t286 () (not @t285))
% 45.84/46.10  (define @t287 () (or @t286 @t284))
% 45.84/46.10  (define @t288 () (@list false false))
% 45.84/46.10  (define @t289 () (= @t111 @t113))
% 45.84/46.10  (define @t290 () (* -1 @t50))
% 45.84/46.10  (define @t291 () (+ @t52 @t290))
% 45.84/46.10  (define @t292 () (>= @t291 1))
% 45.84/46.10  (define @t293 () (not @t292))
% 45.84/46.10  (define @t294 () (+ @t41 @t290))
% 45.84/46.10  (define @t295 () (>= @t294 1))
% 45.84/46.10  (define @t296 () (or @t295 @t293 @t289))
% 45.84/46.10  (define @t297 () (not @t295))
% 45.84/46.10  (define @t298 () (and @t297 @t292))
% 45.84/46.10  (define @t299 () (+ @t291 1))
% 45.84/46.10  (define @t300 () (>= @t50 @t52))
% 45.84/46.10  (define @t301 () (+ @t50 1))
% 45.84/46.10  (define @t302 () (>= @t41 @t301))
% 45.84/46.10  (define @t303 () (tptp.t2tb1 @t270))
% 45.84/46.10  (define @t304 () (= tptp.white (tptp.tb2t2 (tptp.get1 tptp.color1 @t303 @t50))))
% 45.84/46.10  (define @t305 () (+ @t50 @t273))
% 45.84/46.10  (define @t306 () (>= @t305 1))
% 45.84/46.10  (define @t307 () (+ 1 @t290 @t259))
% 45.84/46.10  (define @t308 () (+ @t305 1))
% 45.84/46.10  (define @t309 () (+ @t259 @t290 1))
% 45.84/46.10  (define @t310 () (+ @t266 @t290))
% 45.84/46.10  (define @t311 () (>= @t310 1))
% 45.84/46.10  (define @t312 () (not @t311))
% 45.84/46.10  (define @t313 () (+ @t290 @t267))
% 45.84/46.10  (define @t314 () (+ @t50 @t278))
% 45.84/46.10  (define @t315 () (+ @t314 1))
% 45.84/46.10  (define @t316 () (+ @t267 @t290))
% 45.84/46.10  (define @t317 () (>= @t316 1))
% 45.84/46.10  (define @t318 () (or @t317 @t312 @t304))
% 45.84/46.10  (define @t319 () (forall @t54 @t318))
% 45.84/46.10  (define @t320 () (= @t271 @t319))
% 45.84/46.10  (define @t321 () (forall @t119 (= @t117 (forall @t54 @t296))))
% 45.84/46.10  (define @t322 () (not (>= @t314 0)))
% 45.84/46.10  (define @t323 () (forall @t54 (or @t322 @t306 @t304)))
% 45.84/46.10  (define @t324 () (= @t271 @t323))
% 45.84/46.10  (define @t325 () (@list false))
% 45.84/46.10  (define @t326 () (@list @t321))
% 45.84/46.10  (define @t327 () (not @t323))
% 45.84/46.10  (define @t328 () (@quantifiers_skolemize @t323 0))
% 45.84/46.10  (define @t329 () (= tptp.white (tptp.tb2t2 (tptp.get1 tptp.color1 @t303 @t328))))
% 45.84/46.10  (define @t330 () (* -1 @t328))
% 45.84/46.10  (define @t331 () (+ @t259 @t330))
% 45.84/46.10  (define @t332 () (>= @t331 0))
% 45.84/46.10  (define @t333 () (not @t332))
% 45.84/46.10  (define @t334 () (+ @t267 @t330))
% 45.84/46.10  (define @t335 () (>= @t334 1))
% 45.84/46.10  (define @t336 () (or @t335 @t333 @t329))
% 45.84/46.10  (define @t337 () (not @t336))
% 45.84/46.10  (define @t338 () (+ @t273 @t328))
% 45.84/46.10  (define @t339 () (+ @t331 1))
% 45.84/46.10  (define @t340 () (+ @t328 @t273))
% 45.84/46.10  (define @t341 () (>= @t340 1))
% 45.84/46.10  (define @t342 () (+ @t278 @t328))
% 45.84/46.10  (define @t343 () (+ @t334 1))
% 45.84/46.10  (define @t344 () (+ @t328 @t278))
% 45.84/46.10  (define @t345 () (>= @t344 0))
% 45.84/46.10  (define @t346 () (not @t345))
% 45.84/46.10  (define @t347 () (or @t346 @t341 @t329))
% 45.84/46.10  (define @t348 () (not @t347))
% 45.84/46.10  (define @t349 () (@list @t336))
% 45.84/46.10  (define @t350 () (>= @t305 0))
% 45.84/46.10  (define @t351 () (+ @t290 @t259))
% 45.84/46.10  (define @t352 () (+ @t259 @t290))
% 45.84/46.10  (define @t353 () (>= @t352 1))
% 45.84/46.10  (define @t354 () (not @t353))
% 45.84/46.10  (define @t355 () (or @t317 @t354 @t304))
% 45.84/46.10  (define @t356 () (forall @t54 @t355))
% 45.84/46.10  (define @t357 () (= @t276 @t356))
% 45.84/46.10  (define @t358 () (forall @t54 (or @t322 @t350 @t304)))
% 45.84/46.10  (define @t359 () (= @t276 @t358))
% 45.84/46.10  (define @t360 () (>= @t340 0))
% 45.84/46.10  (define @t361 () (or @t346 @t360 @t329))
% 45.84/46.10  (define @t362 () (>= @t331 1))
% 45.84/46.10  (define @t363 () (not @t362))
% 45.84/46.10  (define @t364 () (or @t335 @t363 @t329))
% 45.84/46.10  (define @t365 () (not @t335))
% 45.84/46.10  (define @t366 () (tptp.get1 tptp.color1 @t269 @t259))
% 45.84/46.10  (define @t367 () (= @t366 (tptp.get tptp.color1 tptp.int @t283 @t260)))
% 45.84/46.10  (define @t368 () (not @t367))
% 45.84/46.10  (define @t369 () (= @t269 @t303))
% 45.84/46.10  (define @t370 () (not @t369))
% 45.84/46.10  (define @t371 () (not @t284))
% 45.84/46.10  (define @t372 () (= @t259 @t328))
% 45.84/46.10  (define @t373 () (= (* 1 (- @t331 0)) (* 1 (- @t259 @t328))))
% 45.84/46.10  (define @t374 () (= (= @t331 0) @t372))
% 45.84/46.10  (define @t375 () (and @t265 @t284 @t369 @t332 @t367 @t363))
% 45.84/46.10  (assume @p1 (forall (@list @t1) (tptp.sort @t1 (tptp.witness @t1))))
% 45.84/46.10  (assume @p2 (forall (@list @t1 @t4 @t3 @t2) (tptp.sort @t1 (tptp.match_bool @t1 @t4 @t3 @t2))))
% 45.84/46.10  (assume @p3 (forall @t8 (=> @t7 (= (tptp.match_bool @t1 tptp.true @t5 @t6) @t5))))
% 45.84/46.10  (assume @p4 (forall @t8 (=> @t9 (= (tptp.match_bool @t1 tptp.false @t5 @t6) @t6))))
% 45.84/46.10  (assume @p5 (not (= tptp.true tptp.false)))
% 45.84/46.10  (assume @p6 (forall (@list @t10) (or (= @t10 tptp.true) (= @t10 tptp.false))))
% 45.84/46.10  (assume @p7 (forall (@list @t11) (= @t11 tptp.tuple02)))
% 45.84/46.10  (assume @p8 (forall (@list @t14 @t13 @t12) (=> (<= @t14 @t13) (=> (<= 0 @t12) (<= (* @t14 @t12) (* @t13 @t12))))))
% 45.84/46.10  (assume @p9 (forall @t17 (tptp.sort @t16 (tptp.mk_ref @t1 @t15))))
% 45.84/46.10  (assume @p10 (forall @t17 (tptp.sort @t1 (tptp.contents @t1 @t15))))
% 45.84/46.10  (assume @p11 (forall @t19 (=> (tptp.sort @t1 @t18) (= (tptp.contents @t1 (tptp.mk_ref @t1 @t18)) @t18))))
% 45.84/46.10  (assume @p12 (forall @t19 (=> (tptp.sort @t16 @t18) (= @t18 (tptp.mk_ref @t1 (tptp.contents @t1 @t18))))))
% 45.84/46.10  (assume @p13 (forall (@list @t1 @t20 @t15 @t3) (tptp.sort @t20 (tptp.get @t20 @t1 @t15 @t3))))
% 45.84/46.10  (assume @p14 (forall (@list @t1 @t20 @t15 @t3 @t2) (tptp.sort @t21 (tptp.set @t20 @t1 @t15 @t3 @t2))))
% 45.84/46.10  (assume @p15 (forall (@list @t1 @t20 @t25 @t24 @t23 @t22) (=> @t28 (=> @t27 (= @t26 @t22)))))
% 45.84/46.10  (assume @p16 (forall (@list @t1 @t20 @t25 @t24 @t23) (=> (tptp.sort @t1 @t24) (=> (tptp.sort @t1 @t23) (forall (@list @t22) (=> (not @t27) (= @t26 (tptp.get @t20 @t1 @t25 @t23))))))))
% 45.84/46.10  (assume @p17 (forall (@list @t1 @t20 @t15) (tptp.sort @t21 (tptp.const @t20 @t1 @t15))))
% 45.84/46.10  (assume @p18 (forall (@list @t1 @t20 @t22 @t24) (=> @t28 (= (tptp.get @t20 @t1 (tptp.const @t20 @t1 @t22) @t24) @t22))))
% 45.84/46.10  (assume @p19 (forall @t30 (tptp.sort @t29 (tptp.mk_array @t1 @t14 @t3))))
% 45.84/46.10  (assume @p20 (forall @t34 (= (tptp.length @t1 @t33) @t31)))
% 45.84/46.10  (assume @p21 (forall @t17 (tptp.sort @t35 (tptp.elts @t1 @t15))))
% 45.84/46.10  (assume @p22 @t39)
% 45.84/46.10  (assume @p23 (forall @t19 (= @t18 (tptp.mk_array @t1 (tptp.length @t1 @t18) (tptp.elts @t1 @t18)))))
% 45.84/46.10  (assume @p24 (forall (@list @t1 @t15 @t40) (tptp.sort @t1 (tptp.get1 @t1 @t15 @t40))))
% 45.84/46.10  (assume @p25 (forall (@list @t14) (tptp.sort tptp.int (tptp.t2tb @t14))))
% 45.84/46.10  (assume @p26 (forall @t43 (= (tptp.tb2t @t42) @t41)))
% 45.84/46.10  (assume @p27 (forall @t45 (= (tptp.t2tb (tptp.tb2t @t44)) @t44)))
% 45.84/46.10  (assume @p28 (forall (@list @t1 @t24 @t41) (= (tptp.get1 @t1 @t24 @t41) (tptp.get @t1 tptp.int @t46 @t42))))
% 45.84/46.10  (assume @p29 (forall (@list @t1 @t15 @t40 @t2) (tptp.sort @t29 (tptp.set1 @t1 @t15 @t40 @t2))))
% 45.84/46.10  (assume @p30 (forall (@list @t1 @t24 @t41 @t47) (= (tptp.set1 @t1 @t24 @t41 @t47) (tptp.mk_array @t1 @t48 (tptp.set @t1 tptp.int @t46 @t42 @t47)))))
% 45.84/46.10  (assume @p31 (forall @t30 (tptp.sort @t29 (tptp.make @t1 @t14 @t3))))
% 45.84/46.10  (assume @p32 (forall (@list @t1 @t49 @t47) (= (tptp.make @t1 @t49 @t47) (tptp.mk_array @t1 @t49 (tptp.const @t1 tptp.int @t47)))))
% 45.84/46.10  (assume @p33 (forall (@list @t1 @t24 @t23 @t53 @t31 @t41 @t52) (= (tptp.exchange @t1 @t24 @t23 @t53 @t31 @t41 @t52) (and @t63 @t62 @t61 @t60 (= @t59 (tptp.get @t1 tptp.int @t23 @t56)) @t58 (forall @t54 (=> (and (<= @t53 @t50) (< @t50 @t31)) (=> (not (= @t50 @t41)) (=> (not (= @t50 @t52)) (= (tptp.get @t1 tptp.int @t24 @t51) (tptp.get @t1 tptp.int @t23 @t51))))))))))
% 45.84/46.10  (assume @p34 (forall (@list @t1 @t24 @t53 @t31 @t41 @t52) (=> @t65 (=> @t64 (tptp.exchange @t1 @t24 (tptp.set @t1 tptp.int (tptp.set @t1 tptp.int @t24 @t42 @t57) @t56 @t59) @t53 @t31 @t41 @t52)))))
% 45.84/46.10  (assume @p35 (forall @t69 (= @t68 (and @t67 (tptp.exchange @t1 @t46 @t66 0 @t48 @t41 @t52)))))
% 45.84/46.10  (assume @p36 (forall @t72 (=> (<= @t31 @t53) @t71)))
% 45.84/46.10  (assume @p37 (forall @t72 (=> @t77 (=> @t76 (=> (not @t75) (= @t70 @t74))))))
% 45.84/46.10  (assume @p38 (forall @t72 (=> @t76 (=> @t75 (= @t70 (+ 1 @t74))))))
% 45.84/46.10  (assume @p39 (forall @t72 (=> (<= @t53 @t31) (and (<= 0 @t70) (<= @t70 (- @t31 @t53))))))
% 45.84/46.10  (assume @p40 (forall (@list @t1 @t47 @t25 @t53 @t78 @t31) (=> (and (<= @t53 @t78) (<= @t78 @t31)) (= @t70 (+ (tptp.occ @t1 @t47 @t25 @t53 @t78) (tptp.occ @t1 @t47 @t25 @t78 @t31))))))
% 45.84/46.10  (assume @p41 (forall @t72 (=> @t77 (=> (forall @t43 (=> @t65 (not @t80))) @t71))))
% 45.84/46.10  (assume @p42 (forall @t72 (=> @t77 (=> (< 0 @t70) (exists @t43 (and @t63 @t62 @t80))))))
% 45.84/46.10  (assume @p43 (forall (@list @t1 @t25 @t53 @t31 @t41) (=> @t65 (< 0 (tptp.occ @t1 @t79 @t25 @t53 @t31)))))
% 45.84/46.10  (assume @p44 (forall (@list @t1 @t47 @t82 @t81 @t53 @t31) (=> (forall @t43 (=> @t65 (= (tptp.get @t1 tptp.int @t82 @t42) (tptp.get @t1 tptp.int @t81 @t42)))) @t83)))
% 45.84/46.10  (assume @p45 (forall (@list @t1 @t82 @t81 @t53 @t31) (and (=> @t84 (forall @t85 @t83)) (=> (forall @t85 (=> @t77 @t83)) @t84))))
% 45.84/46.10  (assume @p46 (forall (@list @t1 @t24 @t23 @t86 @t53 @t31) (=> @t87 (=> (tptp.permut @t1 @t23 @t86 @t53 @t31) (tptp.permut @t1 @t24 @t86 @t53 @t31)))))
% 45.84/46.10  (assume @p47 (forall (@list @t1 @t24 @t23 @t53 @t31 @t41) (=> @t87 (=> @t65 (exists (@list @t52) (and @t61 @t60 @t58))))))
% 45.84/46.10  (assume @p48 (forall @t88 (= (tptp.map_eq_sub @t1 @t24 @t23 @t53 @t31) (forall @t43 (=> @t65 (= @t59 @t55))))))
% 45.84/46.10  (assume @p49 (forall @t88 (= (tptp.array_eq_sub @t1 @t24 @t23 @t53 @t31) (and @t67 @t92 @t91 @t90 @t89 (tptp.map_eq_sub @t1 @t46 @t66 @t53 @t31)))))
% 45.84/46.10  (assume @p50 (forall @t93 (= (tptp.array_eq @t1 @t24 @t23) (and @t67 (tptp.map_eq_sub @t1 @t46 @t66 0 @t48)))))
% 45.84/46.10  (assume @p51 (forall @t88 (= @t94 (and @t67 @t92 @t91 @t90 @t89 (tptp.permut @t1 @t46 @t66 @t53 @t31)))))
% 45.84/46.10  (assume @p52 (forall @t88 (= @t95 (and (tptp.map_eq_sub @t1 @t46 @t66 0 @t53) @t94 (tptp.map_eq_sub @t1 @t46 @t66 @t31 @t48)))))
% 45.84/46.10  (assume @p53 (forall @t93 (= @t96 (and @t67 (tptp.permut @t1 @t46 @t66 0 @t48)))))
% 45.84/46.10  (assume @p54 (forall (@list @t1 @t24 @t23 @t41 @t52 @t53 @t31) (=> @t68 (=> @t65 (=> @t64 (=> @t92 (=> @t89 @t95)))))))
% 45.84/46.10  (assume @p55 (forall (@list @t1 @t24 @t23 @t100 @t99 @t98 @t97) (=> (tptp.permut_sub @t1 @t24 @t23 @t100 @t99) (=> (and (<= 0 @t98) (<= @t98 @t100)) (=> (and (<= @t99 @t97) (<= @t97 @t48)) (tptp.permut_sub @t1 @t24 @t23 @t98 @t97))))))
% 45.84/46.10  (assume @p56 (forall @t69 (=> @t68 @t96)))
% 45.84/46.10  (assume @p57 (forall (@list @t1 @t102 @t3 @t2 @t101) (tptp.sort @t1 (tptp.match_color @t1 @t102 @t3 @t2 @t101))))
% 45.84/46.10  (assume @p58 (forall @t104 (=> @t7 (= (tptp.match_color @t1 tptp.blue @t5 @t6 @t103) @t5))))
% 45.84/46.10  (assume @p59 (forall @t104 (=> @t9 (= (tptp.match_color @t1 tptp.white @t5 @t6 @t103) @t6))))
% 45.84/46.10  (assume @p60 (forall @t104 (=> (tptp.sort @t1 @t103) (= (tptp.match_color @t1 tptp.red @t5 @t6 @t103) @t103))))
% 45.84/46.10  (assume @p61 (not (= tptp.blue tptp.white)))
% 45.84/46.10  (assume @p62 (not (= tptp.blue tptp.red)))
% 45.84/46.10  (assume @p63 (not (= tptp.white tptp.red)))
% 45.84/46.10  (assume @p64 (forall (@list @t105) (or (= @t105 tptp.blue) (= @t105 tptp.white) (= @t105 tptp.red))))
% 45.84/46.10  (assume @p65 (forall (@list @t106) (tptp.sort (tptp.array tptp.color1) (tptp.t2tb1 @t106))))
% 45.84/46.10  (assume @p66 (forall (@list @t107) (= (tptp.tb2t1 (tptp.t2tb1 @t107)) @t107)))
% 45.84/46.10  (assume @p67 @t109)
% 45.84/46.10  (assume @p68 (forall (@list @t102) (tptp.sort tptp.color1 (tptp.t2tb2 @t102))))
% 45.84/46.10  (assume @p69 (forall (@list @t110) (= (tptp.tb2t2 (tptp.t2tb2 @t110)) @t110)))
% 45.84/46.10  (assume @p70 (forall @t45 (=> (tptp.sort tptp.color1 @t44) (= (tptp.t2tb2 (tptp.tb2t2 @t44)) @t44))))
% 45.84/46.10  (assume @p71 @t120)
% 45.84/46.10  (assume @p72 (forall (@list @t121) (tptp.sort @t122 (tptp.t2tb3 @t121))))
% 45.84/46.10  (assume @p73 (forall (@list @t123) (= (tptp.tb2t3 (tptp.t2tb3 @t123)) @t123)))
% 45.84/46.10  (assume @p74 (forall @t45 (=> (tptp.sort @t122 @t44) (= (tptp.t2tb3 (tptp.tb2t3 @t44)) @t44))))
% 45.84/46.10  (assume @p75 @t157)
% 45.84/46.10  (assume @p76 true)
% 45.84/46.10  (step @p77 :rule refl :args (@t164))
% 45.84/46.10  (step @p78 :rule refl :args (@t165))
% 45.84/46.10  (step @p79 :rule arith_poly_norm :args ((= (* -1 (- 1 @t170)) (* -1 (- @t167 0)))))
% 45.84/46.10  (step @p80 :rule arith_poly_norm_rel :premises (@p79) :args ((= (>= 1 @t170) (>= @t167 0))))
% 45.84/46.10  (step @p81 :rule arith-geq-tighten :args (@t169 1))
% 45.84/46.10  (step @p82 :rule trans :premises (@p81 @p80))
% 45.84/46.10  (step @p83 :rule symm :premises (@p82))
% 45.84/46.10  (step @p84 :rule refl :args (0))
% 45.84/46.10  (step @p85 :rule arith_poly_norm :args ((= @t171 @t167)))
% 45.84/46.10  (step @p86 :rule cong :premises (@p85 @p84) :args (@t172))
% 45.84/46.10  (step @p87 :rule trans :premises (@p86 @p83))
% 45.84/46.10  (step @p88 :rule refl :args (@t173))
% 45.84/46.10  (step @p89 :rule arith_poly_norm :args ((= (* -1 (- 1 @t178)) (* -1 (- @t176 0)))))
% 45.84/46.10  (step @p90 :rule arith_poly_norm_rel :premises (@p89) :args ((= (>= 1 @t178) (>= @t176 0))))
% 45.84/46.10  (step @p91 :rule arith-geq-tighten :args (@t177 1))
% 45.84/46.10  (step @p92 :rule trans :premises (@p91 @p90))
% 45.84/46.10  (step @p93 :rule symm :premises (@p92))
% 45.84/46.10  (step @p94 :rule arith_poly_norm :args ((= @t179 @t176)))
% 45.84/46.10  (step @p95 :rule cong :premises (@p94 @p84) :args (@t180))
% 45.84/46.10  (step @p96 :rule trans :premises (@p95 @p93))
% 45.84/46.10  (step @p97 :rule refl :args (@t181))
% 45.84/46.10  (step @p98 :rule refl :args (@t182))
% 45.84/46.10  (step @p99 :rule refl :args (@t183))
% 45.84/46.10  (step @p100 :rule refl :args (@t184))
% 45.84/46.10  (step @p101 :rule refl :args (@t185))
% 45.84/46.10  (step @p102 :rule arith_poly_norm :args ((= (* -1 (- 0 @t178)) (* -1 (- @t176 1)))))
% 45.84/46.10  (step @p103 :rule arith_poly_norm_rel :premises (@p102) :args ((= (>= 0 @t178) (>= @t176 1))))
% 45.84/46.10  (step @p104 :rule arith-geq-tighten :args (@t177 0))
% 45.84/46.10  (step @p105 :rule trans :premises (@p104 @p103))
% 45.84/46.10  (step @p106 :rule symm :premises (@p105))
% 45.84/46.10  (step @p107 :rule refl :args (1))
% 45.84/46.10  (step @p108 :rule cong :premises (@p94 @p107) :args (@t186))
% 45.84/46.10  (step @p109 :rule trans :premises (@p108 @p106))
% 45.84/46.10  (step @p110 :rule refl :args (@t187))
% 45.84/46.10  (step @p111 :rule refl :args (@t188))
% 45.84/46.10  (step @p112 :rule refl :args (@t190))
% 45.84/46.10  (step @p113 :rule nary_cong :premises (@p112 @p111 @p110 @p109 @p101 @p100 @p99 @p98 @p97 @p96 @p88 @p87 @p78 @p77) :args (@t191))
% 45.84/46.10  (step @p114 :rule aci_norm :args ((= @t193 @t191)))
% 45.84/46.10  (step @p115 :rule trans :premises (@p114 @p113))
% 45.84/46.10  (step @p116 :rule cong :premises (@p115) :args (@t195))
% 45.84/46.10  (step @p117 :rule quant-merge-prenex :args ((= (forall @t155 @t197) @t195)))
% 45.84/46.10  (step @p118 :rule alpha_equiv :args (@t198 (@list @t174 @t158 @t159 @t160) (@list @t142 @t41 @t125 @t126)))
% 45.84/46.10  (step @p119 :rule refl :args (@t190))
% 45.84/46.10  (step @p120 :rule nary_cong :premises (@p119 @p118) :args (@t199))
% 45.84/46.10  (step @p121 :rule quant-miniscope-or :args ((= @t197 @t199)))
% 45.84/46.10  (step @p122 :rule trans :premises (@p121 @p120))
% 45.84/46.10  (step @p123 :rule symm :premises (@p122))
% 45.84/46.10  (step @p124 :rule cong :premises (@p123) :args ((forall @t155 @t225)))
% 45.84/46.10  (step @p125 :rule trans :premises (@p124 @p117))
% 45.84/46.10  (step @p126 :rule trans :premises (@p125 @p116))
% 45.84/46.10  (step @p127 :rule aci_norm :args ((= (or @t190 @t225) @t225)))
% 45.84/46.10  (step @p128 :rule bool-impl-elim :args (@t189 @t225))
% 45.84/46.10  (step @p129 :rule trans :premises (@p128 @p127))
% 45.84/46.10  (step @p130 :rule cong :premises (@p129) :args ((forall @t155 (=> @t189 @t225))))
% 45.84/46.10  (step @p131 :rule trans :premises (@p130 @p126))
% 45.84/46.10  (step @p132 :rule quant-miniscope-or :args ((= (forall @t152 @t226) @t225)))
% 45.84/46.10  (step @p133 :rule aci_norm :args ((= @t227 @t226)))
% 45.84/46.10  (step @p134 :rule cong :premises (@p133) :args ((forall @t152 @t227)))
% 45.84/46.10  (step @p135 :rule trans :premises (@p134 @p132))
% 45.84/46.10  (step @p136 :rule aci_norm :args ((= (or (or @t223 @t221 @t218 @t217 @t214 @t213 @t212 @t211) @t228) @t227)))
% 45.84/46.10  (step @p137 :rule aci_norm :args ((= (or @t210 @t229) @t228)))
% 45.84/46.10  (step @p138 :rule aci_norm :args ((= (or (or @t190 @t207 @t205) (or @t203 @t201)) @t229)))
% 45.84/46.10  (step @p139 :rule bool-impl-elim :args (@t202 @t201))
% 45.84/46.10  (step @p140 :rule bool-double-not-elim :args (@t205))
% 45.84/46.10  (step @p141 :rule refl :args (@t207))
% 45.84/46.10  (step @p142 :rule nary_cong :premises (@p119 @p141 @p140) :args (@t232))
% 45.84/46.10  (step @p143 :rule aci_norm :args ((= (or @t190 (or @t207 @t231)) @t232)))
% 45.84/46.10  (step @p144 :rule trans :premises (@p143 @p142))
% 45.84/46.10  (step @p145 :rule bool-and-de-morgan :args (@t206 @t230 true))
% 45.84/46.10  (step @p146 :rule nary_cong :premises (@p119 @p145) :args ((or @t190 (not (and @t206 @t230)))))
% 45.84/46.10  (step @p147 :rule bool-and-de-morgan :args (@t189 @t206 (and @t230)))
% 45.84/46.10  (step @p148 :rule trans :premises (@p147 @p146))
% 45.84/46.10  (step @p149 :rule trans :premises (@p148 @p144))
% 45.84/46.10  (step @p150 :rule nary_cong :premises (@p149 @p139) :args ((or (not @t234) @t233)))
% 45.84/46.10  (step @p151 :rule trans :premises (@p150 @p138))
% 45.84/46.10  (step @p152 :rule bool-impl-elim :args (@t234 @t233))
% 45.84/46.10  (step @p153 :rule trans :premises (@p152 @p151))
% 45.84/46.10  (step @p154 :rule refl :args (@t210))
% 45.84/46.10  (step @p155 :rule nary_cong :premises (@p154 @p153) :args ((or @t210 @t235)))
% 45.84/46.10  (step @p156 :rule trans :premises (@p155 @p137))
% 45.84/46.10  (step @p157 :rule refl :args (@t235))
% 45.84/46.10  (step @p158 :rule bool-double-not-elim :args (@t210))
% 45.84/46.10  (step @p159 :rule nary_cong :premises (@p158 @p157) :args ((or (not @t236) @t235)))
% 45.84/46.10  (step @p160 :rule bool-impl-elim :args (@t236 @t235))
% 45.84/46.10  (step @p161 :rule trans :premises (@p160 @p159))
% 45.84/46.10  (step @p162 :rule trans :premises (@p161 @p156))
% 45.84/46.10  (step @p163 :rule refl :args (@t211))
% 45.84/46.10  (step @p164 :rule refl :args (@t212))
% 45.84/46.10  (step @p165 :rule refl :args (@t213))
% 45.84/46.10  (step @p166 :rule refl :args (@t214))
% 45.84/46.10  (step @p167 :rule refl :args (@t217))
% 45.84/46.10  (step @p168 :rule bool-double-not-elim :args (@t218))
% 45.84/46.10  (step @p169 :rule refl :args (@t221))
% 45.84/46.10  (step @p170 :rule refl :args (@t223))
% 45.84/46.10  (step @p171 :rule nary_cong :premises (@p170 @p169 @p168 @p167 @p166 @p165 @p164 @p163) :args (@t239))
% 45.84/46.10  (step @p172 :rule aci_norm :args ((= (or @t223 (or @t221 (or @t238 (or @t217 (or @t214 (or @t213 (or @t212 @t211))))))) @t239)))
% 45.84/46.10  (step @p173 :rule trans :premises (@p172 @p171))
% 45.84/46.10  (step @p174 :rule bool-and-de-morgan :args (@t147 @t146 true))
% 45.84/46.10  (step @p175 :rule nary_cong :premises (@p165 @p174) :args ((or @t213 (not (and @t147 @t146)))))
% 45.84/46.10  (step @p176 :rule bool-and-de-morgan :args (@t148 @t147 (and @t146)))
% 45.84/46.10  (step @p177 :rule trans :premises (@p176 @p175))
% 45.84/46.10  (step @p178 :rule nary_cong :premises (@p166 @p177) :args ((or @t214 (not (and @t148 @t147 @t146)))))
% 45.84/46.10  (step @p179 :rule bool-and-de-morgan :args (@t149 @t148 (and @t147 @t146)))
% 45.84/46.10  (step @p180 :rule trans :premises (@p179 @p178))
% 45.84/46.10  (step @p181 :rule nary_cong :premises (@p167 @p180) :args ((or @t217 (not (and @t149 @t148 @t147 @t146)))))
% 45.84/46.10  (step @p182 :rule bool-and-de-morgan :args (@t216 @t149 (and @t148 @t147 @t146)))
% 45.84/46.10  (step @p183 :rule trans :premises (@p182 @p181))
% 45.84/46.10  (step @p184 :rule refl :args (@t238))
% 45.84/46.10  (step @p185 :rule nary_cong :premises (@p184 @p183) :args ((or @t238 (not (and @t216 @t149 @t148 @t147 @t146)))))
% 45.84/46.10  (step @p186 :rule bool-and-de-morgan :args (@t237 @t216 (and @t149 @t148 @t147 @t146)))
% 45.84/46.10  (step @p187 :rule trans :premises (@p186 @p185))
% 45.84/46.10  (step @p188 :rule nary_cong :premises (@p169 @p187) :args ((or @t221 (not (and @t237 @t216 @t149 @t148 @t147 @t146)))))
% 45.84/46.10  (step @p189 :rule bool-and-de-morgan :args (@t220 @t237 (and @t216 @t149 @t148 @t147 @t146)))
% 45.84/46.10  (step @p190 :rule trans :premises (@p189 @p188))
% 45.84/46.10  (step @p191 :rule nary_cong :premises (@p170 @p190) :args ((or @t223 (not (and @t220 @t237 @t216 @t149 @t148 @t147 @t146)))))
% 45.84/46.10  (step @p192 :rule bool-and-de-morgan :args (@t222 @t220 (and @t237 @t216 @t149 @t148 @t147 @t146)))
% 45.84/46.10  (step @p193 :rule trans :premises (@p192 @p191))
% 45.84/46.10  (step @p194 :rule trans :premises (@p193 @p173))
% 45.84/46.10  (step @p195 :rule nary_cong :premises (@p194 @p162) :args ((or (not @t241) @t240)))
% 45.84/46.10  (step @p196 :rule trans :premises (@p195 @p136))
% 45.84/46.10  (step @p197 :rule bool-impl-elim :args (@t241 @t240))
% 45.84/46.10  (step @p198 :rule trans :premises (@p197 @p196))
% 45.84/46.10  (step @p199 :rule cong :premises (@p198) :args ((forall @t152 (=> @t241 @t240))))
% 45.84/46.10  (step @p200 :rule trans :premises (@p199 @p135))
% 45.84/46.10  (step @p201 :rule aci_norm :args ((= (or false @t201) @t201)))
% 45.84/46.10  (step @p202 :rule refl :args (@t201))
% 45.84/46.10  (step @p203 :rule evaluate :args ((not true)))
% 45.84/46.10  (step @p204 :rule eq-refl :args (@t41))
% 45.84/46.10  (step @p205 :rule arith_poly_norm :args ((= @t242 @t41)))
% 45.84/46.10  (step @p206 :rule refl :args (@t41))
% 45.84/46.10  (step @p207 :rule cong :premises (@p206 @p205) :args (@t243))
% 45.84/46.10  (step @p208 :rule trans :premises (@p207 @p204))
% 45.84/46.10  (step @p209 :rule cong :premises (@p208) :args (@t244))
% 45.84/46.10  (step @p210 :rule trans :premises (@p209 @p203))
% 45.84/46.10  (step @p211 :rule nary_cong :premises (@p210 @p202) :args (@t245))
% 45.84/46.10  (step @p212 :rule trans :premises (@p211 @p201))
% 45.84/46.10  (step @p213 :rule quant-var-elim-eq :args ((= (forall @t135 (or (not @t249) @t248 @t131)) @t245)))
% 45.84/46.10  (step @p214 :rule refl :args (@t131))
% 45.84/46.10  (step @p215 :rule refl :args (@t248))
% 45.84/46.10  (step @p216 :rule arith_poly_norm :args ((= @t251 @t250)))
% 45.84/46.10  (step @p217 :rule arith_poly_norm_rel :premises (@p216) :args ((= @t247 @t249)))
% 45.84/46.10  (step @p218 :rule cong :premises (@p217) :args (@t248))
% 45.84/46.10  (step @p219 :rule nary_cong :premises (@p218 @p215 @p214) :args (@t252))
% 45.84/46.10  (step @p220 :rule aci_norm :args ((= @t253 @t252)))
% 45.84/46.10  (step @p221 :rule trans :premises (@p220 @p219))
% 45.84/46.10  (step @p222 :rule cong :premises (@p221) :args ((forall @t135 @t253)))
% 45.84/46.10  (step @p223 :rule trans :premises (@p222 @p213))
% 45.84/46.10  (step @p224 :rule trans :premises (@p223 @p212))
% 45.84/46.10  (step @p225 :rule bool-impl-elim :args (@t247 @t131))
% 45.84/46.10  (step @p226 :rule cong :premises (@p225) :args ((forall @t135 (=> @t247 @t131))))
% 45.84/46.10  (step @p227 :rule trans :premises (@p226 @p224))
% 45.84/46.10  (step @p228 :rule refl :args (@t131))
% 45.84/46.10  (step @p229 :rule arith_poly_norm :args ((= @t250 @t251)))
% 45.84/46.10  (step @p230 :rule arith_poly_norm_rel :premises (@p229) :args ((= @t249 @t247)))
% 45.84/46.10  (step @p231 :rule arith_poly_norm :args ((= @t132 @t200)))
% 45.84/46.10  (step @p232 :rule refl :args (@t124))
% 45.84/46.10  (step @p233 :rule cong :premises (@p232 @p231) :args (@t133))
% 45.84/46.10  (step @p234 :rule trans :premises (@p233 @p230))
% 45.84/46.10  (step @p235 :rule cong :premises (@p234 @p228) :args (@t134))
% 45.84/46.10  (step @p236 :rule cong :premises (@p235) :args (@t136))
% 45.84/46.10  (step @p237 :rule trans :premises (@p236 @p227))
% 45.84/46.10  (step @p238 :rule eq-symm :args (@t137 tptp.white))
% 45.84/46.10  (step @p239 :rule cong :premises (@p238 @p237) :args (@t138))
% 45.84/46.10  (step @p240 :rule arith_poly_norm :args ((= (* 1 (- @t41 @t128)) (* 1 (- @t204 0)))))
% 45.84/46.10  (step @p241 :rule arith_poly_norm_rel :premises (@p240) :args ((= @t254 @t205)))
% 45.84/46.10  (step @p242 :rule cong :premises (@p241) :args ((not @t254)))
% 45.84/46.10  (step @p243 :rule arith-elim-lt :args (@t41 @t128))
% 45.84/46.10  (step @p244 :rule trans :premises (@p243 @p242))
% 45.84/46.10  (step @p245 :rule arith-elim-leq :args (0 @t41))
% 45.84/46.10  (step @p246 :rule arith-elim-leq :args (0 @t128))
% 45.84/46.10  (step @p247 :rule nary_cong :premises (@p246 @p245 @p244) :args (@t140))
% 45.84/46.10  (step @p248 :rule cong :premises (@p247 @p239) :args (@t141))
% 45.84/46.10  (step @p249 :rule arith_poly_norm :args ((= (* 1 (- @t41 @t142)) (* 1 (- @t209 0)))))
% 45.84/46.10  (step @p250 :rule arith_poly_norm_rel :premises (@p249) :args ((= @t255 @t210)))
% 45.84/46.10  (step @p251 :rule cong :premises (@p250) :args ((not @t255)))
% 45.84/46.10  (step @p252 :rule arith-elim-lt :args (@t41 @t142))
% 45.84/46.10  (step @p253 :rule trans :premises (@p252 @p251))
% 45.84/46.10  (step @p254 :rule cong :premises (@p253 @p248) :args (@t143))
% 45.84/46.10  (step @p255 :rule refl :args (@t146))
% 45.84/46.10  (step @p256 :rule refl :args (@t147))
% 45.84/46.10  (step @p257 :rule refl :args (@t148))
% 45.84/46.10  (step @p258 :rule refl :args (@t149))
% 45.84/46.10  (step @p259 :rule arith_poly_norm :args ((= (* 1 (- @t128 @t142)) (* 1 (- @t215 0)))))
% 45.84/46.10  (step @p260 :rule arith_poly_norm_rel :premises (@p259) :args ((= (>= @t128 @t142) @t216)))
% 45.84/46.10  (step @p261 :rule arith-elim-leq :args (@t142 @t128))
% 45.84/46.10  (step @p262 :rule trans :premises (@p261 @p260))
% 45.84/46.10  (step @p263 :rule arith_poly_norm :args ((= (* -1 (- @t41 @t256)) (* -1 (- @t209 1)))))
% 45.84/46.10  (step @p264 :rule arith_poly_norm_rel :premises (@p263) :args ((= @t257 @t218)))
% 45.84/46.10  (step @p265 :rule cong :premises (@p264) :args ((not @t257)))
% 45.84/46.10  (step @p266 :rule arith-leq-norm :args (@t41 @t142))
% 45.84/46.10  (step @p267 :rule trans :premises (@p266 @p265))
% 45.84/46.10  (step @p268 :rule arith_poly_norm :args ((= (* 1 (- @t41 @t125)) (* 1 (- @t219 0)))))
% 45.84/46.10  (step @p269 :rule arith_poly_norm_rel :premises (@p268) :args ((= (>= @t41 @t125) @t220)))
% 45.84/46.10  (step @p270 :rule arith-elim-leq :args (@t125 @t41))
% 45.84/46.10  (step @p271 :rule trans :premises (@p270 @p269))
% 45.84/46.10  (step @p272 :rule arith-elim-leq :args (0 @t125))
% 45.84/46.10  (step @p273 :rule nary_cong :premises (@p272 @p271 @p267 @p262 @p258 @p257 @p256 @p255) :args (@t150))
% 45.84/46.10  (step @p274 :rule cong :premises (@p273 @p254) :args (@t151))
% 45.84/46.10  (step @p275 :rule cong :premises (@p274) :args (@t153))
% 45.84/46.10  (step @p276 :rule trans :premises (@p275 @p200))
% 45.84/46.10  (step @p277 :rule cong :premises (@p246 @p276) :args (@t154))
% 45.84/46.10  (step @p278 :rule cong :premises (@p277) :args (@t156))
% 45.84/46.10  (step @p279 :rule trans :premises (@p278 @p131))
% 45.84/46.10  (step @p280 :rule cong :premises (@p279) :args (@t157))
% 45.84/46.10  (step @p281 :rule eq_resolve :premises (@p75 @p280))
% 45.84/46.10  (step @p282 :rule skolemize :premises (@p281))
% 45.84/46.10  (step @p283 :rule bool-double-not-elim :args (@t265))
% 45.84/46.10  (step @p284 :rule refl :args (@t279))
% 45.84/46.10  (step @p285 :rule nary_cong :premises (@p284 @p283) :args ((or @t279 (not @t272))))
% 45.84/46.10  (step @p286 :rule cnf_or_neg :args (@t279 12))
% 45.84/46.10  (step @p287 :rule eq_resolve :premises (@p286 @p285))
% 45.84/46.10  (step @p288 :rule reordering :premises (@p287) :args ((or @t265 @t279)))
% 45.84/46.10  (step @p289 :rule chain_m_resolution :premises (@p288 @p282) :args (@t265 @t280 @t281))
% 45.84/46.10  (step @p290 :rule eq-symm :args (@t108 @t44))
% 45.84/46.10  (step @p291 :rule cong :premises (@p290) :args (@t109))
% 45.84/46.10  (step @p292 :rule eq_resolve :premises (@p67 @p291))
% 45.84/46.10  (step @p293 :rule instantiate :premises (@p292) :args ((@list @t269)))
% 45.84/46.10  (step @p294 :rule bool-impl-elim :args (@t37 @t282))
% 45.84/46.10  (step @p295 :rule cong :premises (@p294) :args ((forall @t34 (=> @t37 @t282))))
% 45.84/46.10  (step @p296 :rule eq-symm :args (@t36 @t32))
% 45.84/46.10  (step @p297 :rule refl :args (@t37))
% 45.84/46.10  (step @p298 :rule cong :premises (@p297 @p296) :args (@t38))
% 45.84/46.10  (step @p299 :rule cong :premises (@p298) :args (@t39))
% 45.84/46.10  (step @p300 :rule trans :premises (@p299 @p295))
% 45.84/46.10  (step @p301 :rule eq_resolve :premises (@p22 @p300))
% 45.84/46.10  (step @p302 :rule instantiate :premises (@p301) :args ((@list tptp.color1 @t268 @t262)))
% 45.84/46.10  (step @p303 :rule instantiate :premises (@p72) :args ((@list @t261)))
% 45.84/46.10  (step @p304 :rule cnf_or_pos :args (@t287))
% 45.84/46.10  (step @p305 :rule reordering :premises (@p304) :args ((or @t286 @t284 (not @t287))))
% 45.84/46.10  (step @p306 :rule chain_m_resolution :premises (@p305 @p303 @p302) :args (@t284 @t288 (@list @t285 @t287)))
% 45.84/46.10  (step @p307 :rule aci_norm :args ((= (or (or @t295 @t293) @t289) @t296)))
% 45.84/46.10  (step @p308 :rule refl :args (@t289))
% 45.84/46.10  (step @p309 :rule refl :args (@t293))
% 45.84/46.10  (step @p310 :rule bool-double-not-elim :args (@t295))
% 45.84/46.10  (step @p311 :rule nary_cong :premises (@p310 @p309) :args ((or (not @t297) @t293)))
% 45.84/46.10  (step @p312 :rule bool-and-de-morgan :args (@t297 @t292 true))
% 45.84/46.10  (step @p313 :rule trans :premises (@p312 @p311))
% 45.84/46.10  (step @p314 :rule nary_cong :premises (@p313 @p308) :args ((or (not @t298) @t289)))
% 45.84/46.10  (step @p315 :rule trans :premises (@p314 @p307))
% 45.84/46.10  (step @p316 :rule bool-impl-elim :args (@t298 @t289))
% 45.84/46.10  (step @p317 :rule trans :premises (@p316 @p315))
% 45.84/46.10  (step @p318 :rule cong :premises (@p317) :args ((forall @t54 (=> @t298 @t289))))
% 45.84/46.10  (step @p319 :rule eq-symm :args (@t113 @t111))
% 45.84/46.10  (step @p320 :rule bool-double-not-elim :args (@t292))
% 45.84/46.10  (step @p321 :rule arith_poly_norm :args ((= (* -1 (- 1 @t299)) (* -1 (- @t50 @t52)))))
% 45.84/46.10  (step @p322 :rule arith_poly_norm_rel :premises (@p321) :args ((= (>= 1 @t299) @t300)))
% 45.84/46.10  (step @p323 :rule arith-geq-tighten :args (@t291 1))
% 45.84/46.10  (step @p324 :rule trans :premises (@p323 @p322))
% 45.84/46.10  (step @p325 :rule symm :premises (@p324))
% 45.84/46.10  (step @p326 :rule cong :premises (@p325) :args ((not @t300)))
% 45.84/46.10  (step @p327 :rule trans :premises (@p326 @p320))
% 45.84/46.10  (step @p328 :rule arith-elim-lt :args (@t50 @t52))
% 45.84/46.10  (step @p329 :rule trans :premises (@p328 @p327))
% 45.84/46.10  (step @p330 :rule arith_poly_norm :args ((= (* -1 (- @t41 @t301)) (* -1 (- @t294 1)))))
% 45.84/46.10  (step @p331 :rule arith_poly_norm_rel :premises (@p330) :args ((= @t302 @t295)))
% 45.84/46.10  (step @p332 :rule cong :premises (@p331) :args ((not @t302)))
% 45.84/46.10  (step @p333 :rule arith-leq-norm :args (@t41 @t50))
% 45.84/46.10  (step @p334 :rule trans :premises (@p333 @p332))
% 45.84/46.10  (step @p335 :rule nary_cong :premises (@p334 @p329) :args (@t114))
% 45.84/46.10  (step @p336 :rule cong :premises (@p335 @p319) :args (@t115))
% 45.84/46.10  (step @p337 :rule cong :premises (@p336) :args (@t116))
% 45.84/46.10  (step @p338 :rule trans :premises (@p337 @p318))
% 45.84/46.10  (step @p339 :rule refl :args (@t117))
% 45.84/46.10  (step @p340 :rule cong :premises (@p339 @p338) :args (@t118))
% 45.84/46.10  (step @p341 :rule cong :premises (@p340) :args (@t120))
% 45.84/46.10  (step @p342 :rule eq_resolve :premises (@p71 @p341))
% 45.84/46.10  (step @p343 :rule refl :args (@t304))
% 45.84/46.10  (step @p344 :rule bool-double-not-elim :args (@t306))
% 45.84/46.10  (step @p345 :rule arith_poly_norm :args ((= (* -1 (- 1 @t308)) (* -1 (- @t307 1)))))
% 45.84/46.10  (step @p346 :rule arith_poly_norm_rel :premises (@p345) :args ((= (>= 1 @t308) (>= @t307 1))))
% 45.84/46.10  (step @p347 :rule arith-geq-tighten :args (@t305 1))
% 45.84/46.10  (step @p348 :rule trans :premises (@p347 @p346))
% 45.84/46.10  (step @p349 :rule symm :premises (@p348))
% 45.84/46.10  (step @p350 :rule arith_poly_norm :args ((= @t309 @t307)))
% 45.84/46.10  (step @p351 :rule arith_poly_norm :args ((= @t310 @t309)))
% 45.84/46.10  (step @p352 :rule trans :premises (@p351 @p350))
% 45.84/46.10  (step @p353 :rule cong :premises (@p352 @p107) :args (@t311))
% 45.84/46.10  (step @p354 :rule trans :premises (@p353 @p349))
% 45.84/46.10  (step @p355 :rule cong :premises (@p354) :args (@t312))
% 45.84/46.10  (step @p356 :rule trans :premises (@p355 @p344))
% 45.84/46.10  (step @p357 :rule arith_poly_norm :args ((= (* -1 (- 0 @t315)) (* -1 (- @t313 1)))))
% 45.84/46.10  (step @p358 :rule arith_poly_norm_rel :premises (@p357) :args ((= (>= 0 @t315) (>= @t313 1))))
% 45.84/46.10  (step @p359 :rule arith-geq-tighten :args (@t314 0))
% 45.84/46.10  (step @p360 :rule trans :premises (@p359 @p358))
% 45.84/46.10  (step @p361 :rule symm :premises (@p360))
% 45.84/46.10  (step @p362 :rule arith_poly_norm :args ((= @t316 @t313)))
% 45.84/46.10  (step @p363 :rule cong :premises (@p362 @p107) :args (@t317))
% 45.84/46.10  (step @p364 :rule trans :premises (@p363 @p361))
% 45.84/46.10  (step @p365 :rule nary_cong :premises (@p364 @p356 @p343) :args (@t318))
% 45.84/46.10  (step @p366 :rule cong :premises (@p365) :args (@t319))
% 45.84/46.10  (step @p367 :rule refl :args (@t271))
% 45.84/46.10  (step @p368 :rule cong :premises (@p367 @p366) :args (@t320))
% 45.84/46.10  (step @p369 :rule refl :args (@t321))
% 45.84/46.10  (step @p370 :rule cong :premises (@p369 @p368) :args ((=> @t321 @t320)))
% 45.84/46.10  (assume-push @p540 @t321)
% 45.84/46.10  (step @p372 :rule instantiate :premises (@p342) :args ((@list @t270 @t267 @t266 tptp.white)))
% 45.84/46.10  (step-pop @p541 :rule scope :premises (@p372))
% 45.84/46.10  (step @p373 :rule process_scope :premises (@p541) :args (@t320))
% 45.84/46.10  (step @p375 :rule eq_resolve :premises (@p373 @p370))
% 45.84/46.10  (step @p376 :rule implies_elim :premises (@p375))
% 45.84/46.10  (step @p377 :rule chain_m_resolution :premises (@p376 @p342) :args (@t324 @t325 @t326))
% 45.84/46.10  (step @p378 :rule cnf_or_neg :args (@t279 13))
% 45.84/46.10  (step @p379 :rule chain_m_resolution :premises (@p378 @p282) :args ((not @t271) @t280 @t281))
% 45.84/46.10  (step @p380 :rule cnf_equiv_pos2 :args (@t324))
% 45.84/46.10  (step @p381 :rule reordering :premises (@p380) :args ((or @t271 @t327 (not @t324))))
% 45.84/46.10  (step @p382 :rule chain_m_resolution :premises (@p381 @p379 @p377) :args (@t327 (@list true false) (@list @t271 @t324)))
% 45.84/46.10  (step @p383 :rule refl :args (@t337))
% 45.84/46.10  (step @p384 :rule bool-double-not-elim :args (@t323))
% 45.84/46.10  (step @p385 :rule nary_cong :premises (@p384 @p383) :args ((or (not @t327) @t337)))
% 45.84/46.10  (step @p386 :rule refl :args (@t329))
% 45.84/46.10  (step @p387 :rule arith_poly_norm :args ((= (* -1 (- 0 @t339)) (* -1 (- @t338 1)))))
% 45.84/46.10  (step @p388 :rule arith_poly_norm_rel :premises (@p387) :args ((= (>= 0 @t339) (>= @t338 1))))
% 45.84/46.10  (step @p389 :rule arith-geq-tighten :args (@t331 0))
% 45.84/46.10  (step @p390 :rule trans :premises (@p389 @p388))
% 45.84/46.10  (step @p391 :rule symm :premises (@p390))
% 45.84/46.10  (step @p392 :rule arith_poly_norm :args ((= @t340 @t338)))
% 45.84/46.10  (step @p393 :rule cong :premises (@p392 @p107) :args (@t341))
% 45.84/46.10  (step @p394 :rule trans :premises (@p393 @p391))
% 45.84/46.10  (step @p395 :rule bool-double-not-elim :args (@t335))
% 45.84/46.10  (step @p396 :rule arith_poly_norm :args ((= (* -1 (- 1 @t343)) (* -1 (- @t342 0)))))
% 45.84/46.10  (step @p397 :rule arith_poly_norm_rel :premises (@p396) :args ((= (>= 1 @t343) (>= @t342 0))))
% 45.84/46.10  (step @p398 :rule arith-geq-tighten :args (@t334 1))
% 45.84/46.10  (step @p399 :rule trans :premises (@p398 @p397))
% 45.84/46.10  (step @p400 :rule symm :premises (@p399))
% 45.84/46.10  (step @p401 :rule arith_poly_norm :args ((= @t344 @t342)))
% 45.84/46.10  (step @p402 :rule cong :premises (@p401 @p84) :args (@t345))
% 45.84/46.10  (step @p403 :rule trans :premises (@p402 @p400))
% 45.84/46.10  (step @p404 :rule cong :premises (@p403) :args (@t346))
% 45.84/46.10  (step @p405 :rule trans :premises (@p404 @p395))
% 45.84/46.10  (step @p406 :rule nary_cong :premises (@p405 @p394 @p386) :args (@t347))
% 45.84/46.10  (step @p407 :rule cong :premises (@p406) :args (@t348))
% 45.84/46.10  (step @p408 :rule refl :args (@t327))
% 45.84/46.10  (step @p409 :rule cong :premises (@p408 @p407) :args ((=> @t327 @t348)))
% 45.84/46.10  (assume-push @p542 @t327)
% 45.84/46.10  (step @p411 :rule skolemize :premises (@p382))
% 45.84/46.10  (step-pop @p543 :rule scope :premises (@p411))
% 45.84/46.10  (step @p412 :rule process_scope :premises (@p543) :args (@t348))
% 45.84/46.10  (step @p414 :rule eq_resolve :premises (@p412 @p409))
% 45.84/46.10  (step @p415 :rule implies_elim :premises (@p414))
% 45.84/46.10  (step @p416 :rule eq_resolve :premises (@p415 @p385))
% 45.84/46.10  (step @p417 :rule chain_m_resolution :premises (@p416 @p382) :args (@t337 @t280 (@list @t323)))
% 45.84/46.10  (step @p418 :rule bool-double-not-elim :args (@t332))
% 45.84/46.10  (step @p419 :rule refl :args (@t336))
% 45.84/46.10  (step @p420 :rule nary_cong :premises (@p419 @p418) :args ((or @t336 (not @t333))))
% 45.84/46.10  (step @p421 :rule cnf_or_neg :args (@t336 1))
% 45.84/46.10  (step @p422 :rule eq_resolve :premises (@p421 @p420))
% 45.84/46.10  (step @p423 :rule reordering :premises (@p422) :args ((or @t332 @t336)))
% 45.84/46.10  (step @p424 :rule chain_m_resolution :premises (@p423 @p417) :args (@t332 @t280 @t349))
% 45.84/46.10  (step @p425 :rule cnf_or_neg :args (@t336 2))
% 45.84/46.10  (step @p426 :rule chain_m_resolution :premises (@p425 @p417) :args ((not @t329) @t280 @t349))
% 45.84/46.10  (step @p427 :rule instantiate :premises (@p28) :args ((@list tptp.color1 @t269 @t259)))
% 45.84/46.10  (step @p428 :rule bool-double-not-elim :args (@t350))
% 45.84/46.10  (step @p429 :rule arith_poly_norm :args ((= (* -1 (- 0 @t308)) (* -1 (- @t351 1)))))
% 45.84/46.10  (step @p430 :rule arith_poly_norm_rel :premises (@p429) :args ((= (>= 0 @t308) (>= @t351 1))))
% 45.84/46.10  (step @p431 :rule arith-geq-tighten :args (@t305 0))
% 45.84/46.10  (step @p432 :rule trans :premises (@p431 @p430))
% 45.84/46.10  (step @p433 :rule symm :premises (@p432))
% 45.84/46.10  (step @p434 :rule arith_poly_norm :args ((= @t352 @t351)))
% 45.84/46.10  (step @p435 :rule cong :premises (@p434 @p107) :args (@t353))
% 45.84/46.10  (step @p436 :rule trans :premises (@p435 @p433))
% 45.84/46.10  (step @p437 :rule cong :premises (@p436) :args (@t354))
% 45.84/46.10  (step @p438 :rule trans :premises (@p437 @p428))
% 45.84/46.10  (step @p439 :rule nary_cong :premises (@p364 @p438 @p343) :args (@t355))
% 45.84/46.10  (step @p440 :rule cong :premises (@p439) :args (@t356))
% 45.84/46.10  (step @p441 :rule refl :args (@t276))
% 45.84/46.10  (step @p442 :rule cong :premises (@p441 @p440) :args (@t357))
% 45.84/46.10  (step @p443 :rule cong :premises (@p369 @p442) :args ((=> @t321 @t357)))
% 45.84/46.10  (assume-push @p544 @t321)
% 45.84/46.10  (step @p445 :rule instantiate :premises (@p342) :args ((@list @t270 @t267 @t259 tptp.white)))
% 45.84/46.10  (step-pop @p545 :rule scope :premises (@p445))
% 45.84/46.10  (step @p446 :rule process_scope :premises (@p545) :args (@t357))
% 45.84/46.10  (step @p448 :rule eq_resolve :premises (@p446 @p443))
% 45.84/46.10  (step @p449 :rule implies_elim :premises (@p448))
% 45.84/46.10  (step @p450 :rule chain_m_resolution :premises (@p449 @p342) :args (@t359 @t325 @t326))
% 45.84/46.10  (step @p451 :rule bool-double-not-elim :args (@t276))
% 45.84/46.10  (step @p452 :rule nary_cong :premises (@p284 @p451) :args ((or @t279 (not @t277))))
% 45.84/46.10  (step @p453 :rule cnf_or_neg :args (@t279 6))
% 45.84/46.10  (step @p454 :rule eq_resolve :premises (@p453 @p452))
% 45.84/46.10  (step @p455 :rule reordering :premises (@p454) :args ((or @t276 @t279)))
% 45.84/46.10  (step @p456 :rule chain_m_resolution :premises (@p455 @p282) :args (@t276 @t280 @t281))
% 45.84/46.10  (step @p457 :rule cnf_equiv_pos1 :args (@t359))
% 45.84/46.10  (step @p458 :rule reordering :premises (@p457) :args ((or @t277 @t358 (not @t359))))
% 45.84/46.10  (step @p459 :rule chain_m_resolution :premises (@p458 @p456 @p450) :args (@t358 @t288 (@list @t276 @t359)))
% 45.84/46.10  (step @p460 :rule arith_poly_norm :args ((= (* -1 (- 1 @t339)) (* -1 (- @t338 0)))))
% 45.84/46.10  (step @p461 :rule arith_poly_norm_rel :premises (@p460) :args ((= (>= 1 @t339) (>= @t338 0))))
% 45.84/46.10  (step @p462 :rule arith-geq-tighten :args (@t331 1))
% 45.84/46.10  (step @p463 :rule trans :premises (@p462 @p461))
% 45.84/46.10  (step @p464 :rule symm :premises (@p463))
% 45.84/46.10  (step @p465 :rule cong :premises (@p392 @p84) :args (@t360))
% 45.84/46.10  (step @p466 :rule trans :premises (@p465 @p464))
% 45.84/46.10  (step @p467 :rule nary_cong :premises (@p405 @p466 @p386) :args (@t361))
% 45.84/46.10  (step @p468 :rule refl :args (@t358))
% 45.84/46.10  (step @p469 :rule cong :premises (@p468 @p467) :args ((=> @t358 @t361)))
% 45.84/46.10  (assume-push @p546 @t358)
% 45.84/46.10  (step @p471 :rule instantiate :premises (@p459) :args ((@list @t328)))
% 45.84/46.10  (step-pop @p547 :rule scope :premises (@p471))
% 45.84/46.10  (step @p472 :rule process_scope :premises (@p547) :args (@t361))
% 45.84/46.10  (step @p474 :rule eq_resolve :premises (@p472 @p469))
% 45.84/46.10  (step @p475 :rule implies_elim :premises (@p474))
% 45.84/46.10  (step @p476 :rule chain_m_resolution :premises (@p475 @p459) :args (@t364 @t325 (@list @t358)))
% 45.84/46.10  (step @p477 :rule cnf_or_neg :args (@t336 0))
% 45.84/46.10  (step @p478 :rule reordering :premises (@p477) :args ((or @t365 @t336)))
% 45.84/46.10  (step @p479 :rule chain_m_resolution :premises (@p478 @p417) :args (@t365 @t280 @t349))
% 45.84/46.10  (step @p480 :rule cnf_or_pos :args (@t364))
% 45.84/46.10  (step @p481 :rule reordering :premises (@p480) :args ((or @t329 @t335 @t363 (not @t364))))
% 45.84/46.10  (step @p482 :rule chain_m_resolution :premises (@p481 @p426 @p479 @p476) :args (@t363 (@list true true false) (@list @t329 @t335 @t364)))
% 45.84/46.10  (step @p483 :rule bool-double-not-elim :args (@t362))
% 45.84/46.10  (step @p484 :rule refl :args (@t368))
% 45.84/46.10  (step @p485 :rule refl :args (@t333))
% 45.84/46.10  (step @p486 :rule refl :args (@t370))
% 45.84/46.10  (step @p487 :rule refl :args (@t371))
% 45.84/46.10  (step @p488 :rule refl :args (@t272))
% 45.84/46.10  (step @p489 :rule nary_cong :premises (@p488 @p487 @p486 @p485 @p484 @p483 @p386) :args ((or @t272 @t371 @t370 @t333 @t368 (not @t363) @t329)))
% 45.84/46.10  (assume-push @p548 @t265)
% 45.84/46.10  (assume-push @p549 @t284)
% 45.84/46.10  (assume-push @p550 @t369)
% 45.84/46.10  (assume-push @p551 @t332)
% 45.84/46.10  (assume-push @p552 @t367)
% 45.84/46.10  (assume-push @p553 @t363)
% 45.84/46.10  (assume-push @p554 @t369)
% 45.84/46.10  (assume-push @p555 @t372)
% 45.84/46.10  (assume-push @p556 @t367)
% 45.84/46.10  (assume-push @p557 @t284)
% 45.84/46.10  (assume-push @p558 @t265)
% 45.84/46.10  (step @p501 :rule arith_poly_norm :args (@t373))
% 45.84/46.10  (step @p502 :rule arith_poly_norm_rel :premises (@p501) :args (@t374))
% 45.84/46.10  (step @p503 :rule arith-elim-lt :args (@t331 1))
% 45.84/46.10  (step @p504 :rule symm :premises (@p503))
% 45.84/46.10  (step @p505 :rule eq_resolve :premises (@p482 @p504))
% 45.84/46.10  (step @p506 :rule int_tight_ub :premises (@p505))
% 45.84/46.10  (step @p507 :rule arith_trichotomy :premises (@p424 @p506))
% 45.84/46.10  (step @p508 :rule eq_resolve :premises (@p507 @p502))
% 45.84/46.10  (step @p509 :rule refl :args (tptp.color1))
% 45.84/46.10  (step @p510 :rule cong :premises (@p509 @p293 @p508) :args (@t366))
% 45.84/46.10  (step @p511 :rule symm :premises (@p427))
% 45.84/46.10  (step @p512 :rule refl :args (@t260))
% 45.84/46.10  (step @p513 :rule refl :args (tptp.int))
% 45.84/46.10  (step @p514 :rule cong :premises (@p509 @p513 @p306 @p512) :args (@t263))
% 45.84/46.10  (step @p515 :rule trans :premises (@p514 @p511 @p510))
% 45.84/46.10  (step @p516 :rule cong :premises (@p515) :args (@t264))
% 45.84/46.10  (step @p517 :rule trans :premises (@p289 @p516))
% 45.84/46.10  (step-pop @p559 :rule scope :premises (@p517))
% 45.84/46.10  (step-pop @p560 :rule scope :premises (@p559))
% 45.84/46.10  (step-pop @p561 :rule scope :premises (@p560))
% 45.84/46.10  (step-pop @p562 :rule scope :premises (@p561))
% 45.84/46.10  (step-pop @p563 :rule scope :premises (@p562))
% 45.84/46.10  (step @p518 :rule process_scope :premises (@p563) :args (@t329))
% 45.84/46.10  (step @p501 :rule arith_poly_norm :args (@t373))
% 45.84/46.10  (step @p502 :rule arith_poly_norm_rel :premises (@p501) :args (@t374))
% 45.84/46.10  (step @p503 :rule arith-elim-lt :args (@t331 1))
% 45.84/46.10  (step @p504 :rule symm :premises (@p503))
% 45.84/46.10  (step @p505 :rule eq_resolve :premises (@p482 @p504))
% 45.84/46.10  (step @p506 :rule int_tight_ub :premises (@p505))
% 45.84/46.10  (step @p507 :rule arith_trichotomy :premises (@p424 @p506))
% 45.84/46.10  (step @p524 :rule eq_resolve :premises (@p507 @p502))
% 45.84/46.10  (step @p525 :rule and_intro :premises (@p293 @p524 @p427 @p306 @p289))
% 45.84/46.10  (step @p526 :rule modus_ponens :premises (@p525 @p518))
% 45.84/46.10  (step-pop @p564 :rule scope :premises (@p526))
% 45.84/46.10  (step-pop @p565 :rule scope :premises (@p564))
% 45.84/46.10  (step-pop @p566 :rule scope :premises (@p565))
% 45.84/46.10  (step-pop @p567 :rule scope :premises (@p566))
% 45.84/46.10  (step-pop @p568 :rule scope :premises (@p567))
% 45.84/46.10  (step-pop @p569 :rule scope :premises (@p568))
% 45.84/46.10  (step @p527 :rule process_scope :premises (@p569) :args (@t329))
% 45.84/46.10  (step @p534 :rule implies_elim :premises (@p527))
% 45.84/46.10  (step @p535 :rule cnf_and_neg :args (@t375))
% 45.84/46.10  (step @p536 :rule resolution :premises (@p535 @p534) :args (true @t375))
% 45.84/46.10  (step @p537 :rule eq_resolve :premises (@p536 @p489))
% 45.84/46.10  (step @p538 :rule reordering :premises (@p537) :args ((or @t272 @t371 @t370 @t329 @t333 @t362 @t368)))
% 45.84/46.10  (step @p539 false :rule chain_m_resolution :premises (@p538 @p482 @p427 @p426 @p424 @p306 @p293 @p289) :args (false (@list true false true false false false false) (@list @t362 @t367 @t329 @t332 @t284 @t369 @t265)))
% 45.84/46.10  )
% 45.84/46.10  % SZS output end Proof
% 45.84/46.10  % cvc5 exiting
%------------------------------------------------------------------------------