cvc5---1.3.4.THM-Prf.s

%------------------------------------------------------------------------------
% File     : cvc5---1.3.4
% Problem  : SWW614_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 : n010.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 09:05:20 AM UTC 2026

% Result   : Theorem 109.43s 109.60s
% Output   : Proof 109.43s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : SWW614_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
% 0.18/0.35  % Computer : n010.cluster.edu
% 0.18/0.35  % Model    : x86_64 x86_64
% 0.18/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.18/0.35  % Memory   : 8042.1875MB
% 0.18/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.18/0.35  % CPULimit : 300
% 0.18/0.35  % WCLimit  : 300
% 0.18/0.35  % DateTime : Tue Jun  2 22:18:40 EDT 2026
% 0.18/0.35  % CPUTime  : 
% 0.29/0.51  %----Proving TF0_ARI
% 109.43/109.60  --- Run --finite-model-find --decision=internal at 45...
% 109.43/109.60  --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 60...
% 109.43/109.60  --- Run --no-e-matching --full-saturate-quant at 45...
% 109.43/109.60  % SZS status Theorem
% 109.43/109.60  % SZS output start Proof
% 109.43/109.60  (
% 109.43/109.60  (declare-sort tptp.map_int_int 0)
% 109.43/109.60  (declare-sort tptp.tuple0 0)
% 109.43/109.60  (declare-sort tptp.bool 0)
% 109.43/109.60  (declare-sort tptp.ty 0)
% 109.43/109.60  (declare-sort tptp.uni 0)
% 109.43/109.60  (declare-sort tptp.array_int 0)
% 109.43/109.60  (declare-const tptp.t2tb2 (-> tptp.map_int_int tptp.uni))
% 109.43/109.60  (declare-const tptp.eqseq (-> tptp.array_int Int Int Int Bool))
% 109.43/109.60  (declare-const tptp.make (-> tptp.ty Int tptp.uni tptp.uni))
% 109.43/109.60  (declare-const tptp.t2tb (-> Int tptp.uni))
% 109.43/109.60  (declare-const tptp.get1 (-> tptp.ty tptp.uni Int tptp.uni))
% 109.43/109.60  (declare-const tptp.array (-> tptp.ty tptp.ty))
% 109.43/109.60  (declare-const tptp.mk_array (-> tptp.ty Int tptp.uni tptp.uni))
% 109.43/109.60  (declare-const tptp.tb2t (-> tptp.uni Int))
% 109.43/109.60  (declare-const tptp.elts (-> tptp.ty tptp.uni tptp.uni))
% 109.43/109.60  (declare-const tptp.tuple02 tptp.tuple0)
% 109.43/109.60  (declare-const tptp.length (-> tptp.ty tptp.uni Int))
% 109.43/109.60  (declare-const tptp.mk_ref (-> tptp.ty tptp.uni tptp.uni))
% 109.43/109.60  (declare-const tptp.sort (-> tptp.ty tptp.uni Bool))
% 109.43/109.60  (declare-const tptp.map (-> tptp.ty tptp.ty tptp.ty))
% 109.43/109.60  (declare-const tptp.true tptp.bool)
% 109.43/109.60  (declare-const tptp.tb2t2 (-> tptp.uni tptp.map_int_int))
% 109.43/109.60  (declare-const tptp.false tptp.bool)
% 109.43/109.60  (declare-const tptp.t2tb1 (-> tptp.array_int tptp.uni))
% 109.43/109.60  (declare-const tptp.ref (-> tptp.ty tptp.ty))
% 109.43/109.60  (declare-const tptp.contents (-> tptp.ty tptp.uni tptp.uni))
% 109.43/109.60  (declare-const tptp.set1 (-> tptp.ty tptp.uni Int tptp.uni tptp.uni))
% 109.43/109.60  (declare-const tptp.int tptp.ty)
% 109.43/109.60  (declare-const tptp.witness (-> tptp.ty tptp.uni))
% 109.43/109.60  (declare-const tptp.get (-> tptp.ty tptp.ty tptp.uni tptp.uni tptp.uni))
% 109.43/109.60  (declare-const tptp.const (-> tptp.ty tptp.ty tptp.uni tptp.uni))
% 109.43/109.60  (declare-const tptp.tb2t1 (-> tptp.uni tptp.array_int))
% 109.43/109.60  (declare-const tptp.match_bool (-> tptp.ty tptp.bool tptp.uni tptp.uni tptp.uni))
% 109.43/109.60  (declare-const tptp.set (-> tptp.ty tptp.ty tptp.uni tptp.uni tptp.uni tptp.uni))
% 109.43/109.60  (define @t1 () (@var "A" tptp.ty))
% 109.43/109.60  (define @t2 () (@var "X2" tptp.uni))
% 109.43/109.60  (define @t3 () (@var "X1" tptp.uni))
% 109.43/109.60  (define @t4 () (@var "X" tptp.bool))
% 109.43/109.60  (define @t5 () (@var "Z" tptp.uni))
% 109.43/109.60  (define @t6 () (@var "Z1" tptp.uni))
% 109.43/109.60  (define @t7 () (@list @t1 @t5 @t6))
% 109.43/109.60  (define @t8 () (@var "U" tptp.bool))
% 109.43/109.60  (define @t9 () (@var "U" tptp.tuple0))
% 109.43/109.60  (define @t10 () (@var "Z" Int))
% 109.43/109.60  (define @t11 () (@var "Y" Int))
% 109.43/109.60  (define @t12 () (@var "X" Int))
% 109.43/109.60  (define @t13 () (@var "X" tptp.uni))
% 109.43/109.60  (define @t14 () (tptp.ref @t1))
% 109.43/109.60  (define @t15 () (@list @t1 @t13))
% 109.43/109.60  (define @t16 () (@var "U" tptp.uni))
% 109.43/109.60  (define @t17 () (@list @t1 @t16))
% 109.43/109.60  (define @t18 () (@var "B" tptp.ty))
% 109.43/109.60  (define @t19 () (tptp.map @t1 @t18))
% 109.43/109.60  (define @t20 () (@var "B1" tptp.uni))
% 109.43/109.60  (define @t21 () (@var "A2" tptp.uni))
% 109.43/109.60  (define @t22 () (@var "A1" tptp.uni))
% 109.43/109.60  (define @t23 () (@var "M" tptp.uni))
% 109.43/109.60  (define @t24 () (tptp.get @t18 @t1 (tptp.set @t18 @t1 @t23 @t22 @t20) @t21))
% 109.43/109.60  (define @t25 () (= @t22 @t21))
% 109.43/109.60  (define @t26 () (tptp.sort @t18 @t20))
% 109.43/109.60  (define @t27 () (tptp.array @t1))
% 109.43/109.60  (define @t28 () (@list @t1 @t12 @t3))
% 109.43/109.60  (define @t29 () (@var "U" Int))
% 109.43/109.61  (define @t30 () (@var "U1" tptp.uni))
% 109.43/109.61  (define @t31 () (tptp.mk_array @t1 @t29 @t30))
% 109.43/109.61  (define @t32 () (tptp.length @t1 @t31))
% 109.43/109.61  (define @t33 () (= @t32 @t29))
% 109.43/109.61  (define @t34 () (@list @t1 @t29 @t30))
% 109.43/109.61  (define @t35 () (forall @t34 @t33))
% 109.43/109.61  (define @t36 () (tptp.map tptp.int @t1))
% 109.43/109.61  (define @t37 () (tptp.elts @t1 @t31))
% 109.43/109.61  (define @t38 () (tptp.sort @t36 @t30))
% 109.43/109.61  (define @t39 () (=> @t38 (= @t37 @t30)))
% 109.43/109.61  (define @t40 () (forall @t34 @t39))
% 109.43/109.61  (define @t41 () (@var "X1" Int))
% 109.43/109.61  (define @t42 () (@var "I" Int))
% 109.43/109.61  (define @t43 () (tptp.t2tb @t42))
% 109.43/109.61  (define @t44 () (tptp.tb2t @t43))
% 109.43/109.61  (define @t45 () (= @t44 @t42))
% 109.43/109.61  (define @t46 () (@list @t42))
% 109.43/109.61  (define @t47 () (forall @t46 @t45))
% 109.43/109.61  (define @t48 () (@var "J" tptp.uni))
% 109.43/109.61  (define @t49 () (tptp.t2tb (tptp.tb2t @t48)))
% 109.43/109.61  (define @t50 () (@list @t48))
% 109.43/109.61  (define @t51 () (forall @t50 (= @t49 @t48)))
% 109.43/109.61  (define @t52 () (tptp.elts @t1 @t22))
% 109.43/109.61  (define @t53 () (@var "V" tptp.uni))
% 109.43/109.61  (define @t54 () (@var "N" Int))
% 109.43/109.61  (define @t55 () (@var "X" tptp.array_int))
% 109.43/109.61  (define @t56 () (@var "I" tptp.array_int))
% 109.43/109.61  (define @t57 () (tptp.t2tb1 (tptp.tb2t1 @t48)))
% 109.43/109.61  (define @t58 () (forall @t50 (= @t57 @t48)))
% 109.43/109.61  (define @t59 () (@var "A" tptp.array_int))
% 109.43/109.61  (define @t60 () (tptp.t2tb1 @t59))
% 109.43/109.61  (define @t61 () (= (tptp.tb2t (tptp.get1 tptp.int @t60 (+ @t12 @t42))) (tptp.tb2t (tptp.get1 tptp.int @t60 (+ @t11 @t42)))))
% 109.43/109.61  (define @t62 () (@var "Len" Int))
% 109.43/109.61  (define @t63 () (< @t42 @t62))
% 109.43/109.61  (define @t64 () (<= 0 @t42))
% 109.43/109.61  (define @t65 () (and @t64 @t63))
% 109.43/109.61  (define @t66 () (=> @t65 @t61))
% 109.43/109.61  (define @t67 () (forall @t46 @t66))
% 109.43/109.61  (define @t68 () (tptp.length tptp.int @t60))
% 109.43/109.61  (define @t69 () (+ @t11 @t62))
% 109.43/109.61  (define @t70 () (+ @t12 @t62))
% 109.43/109.61  (define @t71 () (and (<= 0 @t62) (<= @t70 @t68) (<= @t69 @t68) @t67))
% 109.43/109.61  (define @t72 () (tptp.eqseq @t59 @t12 @t11 @t62))
% 109.43/109.61  (define @t73 () (= @t72 @t71))
% 109.43/109.61  (define @t74 () (@list @t59 @t12 @t11 @t62))
% 109.43/109.61  (define @t75 () (forall @t74 @t73))
% 109.43/109.61  (define @t76 () (@var "X" tptp.map_int_int))
% 109.43/109.61  (define @t77 () (tptp.map tptp.int tptp.int))
% 109.43/109.61  (define @t78 () (@var "I" tptp.map_int_int))
% 109.43/109.61  (define @t79 () (@var "L1" Int))
% 109.43/109.61  (define @t80 () (@var "A1" tptp.map_int_int))
% 109.43/109.61  (define @t81 () (tptp.t2tb2 @t80))
% 109.43/109.61  (define @t82 () (@var "A" Int))
% 109.43/109.61  (define @t83 () (tptp.tb2t1 (tptp.mk_array tptp.int @t82 @t81)))
% 109.43/109.61  (define @t84 () (tptp.eqseq @t83 @t12 @t11 @t79))
% 109.43/109.61  (define @t85 () (@var "L" Int))
% 109.43/109.61  (define @t86 () (+ @t85 1))
% 109.43/109.61  (define @t87 () (= @t79 @t86))
% 109.43/109.61  (define @t88 () (=> @t87 @t84))
% 109.43/109.61  (define @t89 () (@list @t79))
% 109.43/109.61  (define @t90 () (forall @t89 @t88))
% 109.43/109.61  (define @t91 () (+ @t11 @t85))
% 109.43/109.61  (define @t92 () (+ @t12 @t85))
% 109.43/109.61  (define @t93 () (= (tptp.tb2t (tptp.get tptp.int tptp.int @t81 (tptp.t2tb @t92))) (tptp.tb2t (tptp.get tptp.int tptp.int @t81 (tptp.t2tb @t91)))))
% 109.43/109.61  (define @t94 () (=> @t93 @t90))
% 109.43/109.61  (define @t95 () (< @t92 @t82))
% 109.43/109.61  (define @t96 () (and (<= 0 @t92) @t95))
% 109.43/109.61  (define @t97 () (=> @t96 @t94))
% 109.43/109.61  (define @t98 () (< @t91 @t82))
% 109.43/109.61  (define @t99 () (and (<= 0 @t91) @t98))
% 109.43/109.61  (define @t100 () (=> @t99 @t97))
% 109.43/109.61  (define @t101 () (=> @t98 @t100))
% 109.43/109.61  (define @t102 () (=> @t95 @t101))
% 109.43/109.61  (define @t103 () (tptp.eqseq @t83 @t12 @t11 @t85))
% 109.43/109.61  (define @t104 () (=> @t103 @t102))
% 109.43/109.61  (define @t105 () (@list @t85))
% 109.43/109.61  (define @t106 () (forall @t105 @t104))
% 109.43/109.61  (define @t107 () (and (<= 0 @t82) (<= 0 @t12) (< @t12 @t82) (<= 0 @t11) (< @t11 @t82)))
% 109.43/109.61  (define @t108 () (=> @t107 @t106))
% 109.43/109.61  (define @t109 () (@list @t82 @t80 @t12 @t11))
% 109.43/109.61  (define @t110 () (forall @t109 @t108))
% 109.43/109.61  (define @t111 () (not @t110))
% 109.43/109.61  (define @t112 () (@var "BOUND_VARIABLE_8038" Int))
% 109.43/109.61  (define @t113 () (tptp.eqseq @t83 @t12 @t11 (+ 1 @t112)))
% 109.43/109.61  (define @t114 () (+ @t11 @t112))
% 109.43/109.61  (define @t115 () (+ @t12 @t112))
% 109.43/109.61  (define @t116 () (not (= (tptp.tb2t (tptp.get tptp.int tptp.int @t81 (tptp.t2tb @t115))) (tptp.tb2t (tptp.get tptp.int tptp.int @t81 (tptp.t2tb @t114))))))
% 109.43/109.61  (define @t117 () (not (>= @t115 0)))
% 109.43/109.61  (define @t118 () (not (>= @t114 0)))
% 109.43/109.61  (define @t119 () (* -1 @t82))
% 109.43/109.61  (define @t120 () (>= (+ @t11 @t119 @t112) 0))
% 109.43/109.61  (define @t121 () (>= (+ @t12 @t119 @t112) 0))
% 109.43/109.61  (define @t122 () (not (tptp.eqseq @t83 @t12 @t11 @t112)))
% 109.43/109.61  (define @t123 () (+ @t11 @t119))
% 109.43/109.61  (define @t124 () (>= @t123 0))
% 109.43/109.61  (define @t125 () (>= @t11 0))
% 109.43/109.61  (define @t126 () (not @t125))
% 109.43/109.61  (define @t127 () (+ @t12 @t119))
% 109.43/109.61  (define @t128 () (>= @t127 0))
% 109.43/109.61  (define @t129 () (>= @t12 0))
% 109.43/109.61  (define @t130 () (not @t129))
% 109.43/109.61  (define @t131 () (>= @t82 0))
% 109.43/109.61  (define @t132 () (not @t131))
% 109.43/109.61  (define @t133 () (or @t132 @t130 @t128 @t126 @t124 @t122 @t121 @t120 @t118 @t117 @t116 @t113))
% 109.43/109.61  (define @t134 () (or @t122 @t121 @t120 @t118 @t117 @t116 @t113))
% 109.43/109.61  (define @t135 () (or @t132 @t130 @t128 @t126 @t124 @t134))
% 109.43/109.61  (define @t136 () (@list @t82 @t80 @t12 @t11 @t112))
% 109.43/109.61  (define @t137 () (forall @t136 @t135))
% 109.43/109.61  (define @t138 () (@list @t112))
% 109.43/109.61  (define @t139 () (forall @t138 @t135))
% 109.43/109.61  (define @t140 () (forall @t138 @t134))
% 109.43/109.61  (define @t141 () (or @t132 @t130 @t128 @t126 @t124 @t140))
% 109.43/109.61  (define @t142 () (+ 1 @t85))
% 109.43/109.61  (define @t143 () (tptp.eqseq @t83 @t12 @t11 @t142))
% 109.43/109.61  (define @t144 () (not @t93))
% 109.43/109.61  (define @t145 () (>= @t92 0))
% 109.43/109.61  (define @t146 () (not @t145))
% 109.43/109.61  (define @t147 () (>= @t91 0))
% 109.43/109.61  (define @t148 () (not @t147))
% 109.43/109.61  (define @t149 () (+ @t11 @t119 @t85))
% 109.43/109.61  (define @t150 () (>= @t149 0))
% 109.43/109.61  (define @t151 () (+ @t12 @t119 @t85))
% 109.43/109.61  (define @t152 () (>= @t151 0))
% 109.43/109.61  (define @t153 () (not @t103))
% 109.43/109.61  (define @t154 () (or @t153 @t152 @t150 @t148 @t146 @t144 @t143))
% 109.43/109.61  (define @t155 () (forall @t105 @t154))
% 109.43/109.61  (define @t156 () (or @t132 @t130 @t128 @t126 @t124 @t155))
% 109.43/109.61  (define @t157 () (not @t124))
% 109.43/109.61  (define @t158 () (not @t157))
% 109.43/109.61  (define @t159 () (not @t128))
% 109.43/109.61  (define @t160 () (not @t159))
% 109.43/109.61  (define @t161 () (or @t132 @t130 @t160 @t126 @t158))
% 109.43/109.61  (define @t162 () (and @t131 @t129 @t159 @t125 @t157))
% 109.43/109.61  (define @t163 () (or @t152 @t150 @t148 @t146 @t144 @t143))
% 109.43/109.61  (define @t164 () (or @t150 @t148 @t146 @t152 @t144 @t143))
% 109.43/109.61  (define @t165 () (or @t148 @t150 @t146 @t152 @t144 @t143))
% 109.43/109.61  (define @t166 () (or @t146 @t152 @t144 @t143))
% 109.43/109.61  (define @t167 () (not @t152))
% 109.43/109.61  (define @t168 () (not @t167))
% 109.43/109.61  (define @t169 () (=> @t93 @t143))
% 109.43/109.61  (define @t170 () (and @t145 @t167))
% 109.43/109.61  (define @t171 () (not @t150))
% 109.43/109.61  (define @t172 () (not @t171))
% 109.43/109.61  (define @t173 () (=> @t170 @t169))
% 109.43/109.61  (define @t174 () (and @t147 @t171))
% 109.43/109.61  (define @t175 () (=> @t174 @t173))
% 109.43/109.61  (define @t176 () (=> @t171 @t175))
% 109.43/109.61  (define @t177 () (=> @t167 @t176))
% 109.43/109.61  (define @t178 () (+ -1 @t142))
% 109.43/109.61  (define @t179 () (= @t85 @t178))
% 109.43/109.61  (define @t180 () (not @t179))
% 109.43/109.61  (define @t181 () (or @t180 @t143))
% 109.43/109.61  (define @t182 () (+ -1 @t79))
% 109.43/109.61  (define @t183 () (= @t85 @t182))
% 109.43/109.61  (define @t184 () (not @t183))
% 109.43/109.61  (define @t185 () (= @t79 @t142))
% 109.43/109.61  (define @t186 () (* 1 (- @t79 @t142)))
% 109.43/109.61  (define @t187 () (* -1 (- @t85 @t182)))
% 109.43/109.61  (define @t188 () (or @t184 @t184 @t84))
% 109.43/109.61  (define @t189 () (or @t184 @t84))
% 109.43/109.61  (define @t190 () (>= @t92 @t82))
% 109.43/109.61  (define @t191 () (>= @t91 @t82))
% 109.43/109.61  (define @t192 () (>= @t11 @t82))
% 109.43/109.61  (define @t193 () (>= @t12 @t82))
% 109.43/109.61  (define @t194 () (forall @t136 @t133))
% 109.43/109.61  (define @t195 () (@quantifiers_skolemize @t194 4))
% 109.43/109.61  (define @t196 () (+ 1 @t195))
% 109.43/109.61  (define @t197 () (@quantifiers_skolemize @t194 3))
% 109.43/109.61  (define @t198 () (@quantifiers_skolemize @t194 2))
% 109.43/109.61  (define @t199 () (@quantifiers_skolemize @t194 1))
% 109.43/109.61  (define @t200 () (tptp.t2tb2 @t199))
% 109.43/109.61  (define @t201 () (@quantifiers_skolemize @t194 0))
% 109.43/109.61  (define @t202 () (tptp.mk_array tptp.int @t201 @t200))
% 109.43/109.61  (define @t203 () (tptp.tb2t1 @t202))
% 109.43/109.61  (define @t204 () (tptp.eqseq @t203 @t198 @t197 @t196))
% 109.43/109.61  (define @t205 () (+ @t197 @t195))
% 109.43/109.61  (define @t206 () (tptp.t2tb @t205))
% 109.43/109.61  (define @t207 () (tptp.get tptp.int tptp.int @t200 @t206))
% 109.43/109.61  (define @t208 () (tptp.tb2t @t207))
% 109.43/109.61  (define @t209 () (+ @t198 @t195))
% 109.43/109.61  (define @t210 () (tptp.t2tb @t209))
% 109.43/109.61  (define @t211 () (tptp.get tptp.int tptp.int @t200 @t210))
% 109.43/109.61  (define @t212 () (tptp.tb2t @t211))
% 109.43/109.61  (define @t213 () (= @t212 @t208))
% 109.43/109.61  (define @t214 () (not @t213))
% 109.43/109.61  (define @t215 () (not (>= @t209 0)))
% 109.43/109.61  (define @t216 () (not (>= @t205 0)))
% 109.43/109.61  (define @t217 () (* -1 @t195))
% 109.43/109.61  (define @t218 () (* -1 @t197))
% 109.43/109.61  (define @t219 () (+ @t201 @t218 @t217))
% 109.43/109.61  (define @t220 () (>= @t219 1))
% 109.43/109.61  (define @t221 () (not @t220))
% 109.43/109.61  (define @t222 () (* -1 @t198))
% 109.43/109.61  (define @t223 () (+ @t201 @t222 @t217))
% 109.43/109.61  (define @t224 () (>= @t223 1))
% 109.43/109.61  (define @t225 () (not @t224))
% 109.43/109.61  (define @t226 () (tptp.eqseq @t203 @t198 @t197 @t195))
% 109.43/109.61  (define @t227 () (not @t226))
% 109.43/109.61  (define @t228 () (+ @t201 @t218))
% 109.43/109.61  (define @t229 () (not (>= @t197 0)))
% 109.43/109.61  (define @t230 () (+ @t201 @t222))
% 109.43/109.61  (define @t231 () (not (>= @t198 0)))
% 109.43/109.61  (define @t232 () (not (>= @t201 0)))
% 109.43/109.61  (define @t233 () (or @t232 @t231 (not (>= @t230 1)) @t229 (not (>= @t228 1)) @t227 @t225 @t221 @t216 @t215 @t214 @t204))
% 109.43/109.61  (define @t234 () (not @t233))
% 109.43/109.61  (define @t235 () (not @t194))
% 109.43/109.61  (define @t236 () (* -1 @t201))
% 109.43/109.61  (define @t237 () (+ @t236 @t197 @t195))
% 109.43/109.61  (define @t238 () (+ @t219 1))
% 109.43/109.61  (define @t239 () (+ @t197 @t236 @t195))
% 109.43/109.61  (define @t240 () (>= @t239 0))
% 109.43/109.61  (define @t241 () (+ @t236 @t198 @t195))
% 109.43/109.61  (define @t242 () (+ @t223 1))
% 109.43/109.61  (define @t243 () (+ @t198 @t236 @t195))
% 109.43/109.61  (define @t244 () (>= @t243 0))
% 109.43/109.61  (define @t245 () (+ @t236 @t197))
% 109.43/109.61  (define @t246 () (+ @t228 1))
% 109.43/109.61  (define @t247 () (+ @t197 @t236))
% 109.43/109.61  (define @t248 () (>= @t247 0))
% 109.43/109.61  (define @t249 () (+ @t236 @t198))
% 109.43/109.61  (define @t250 () (+ @t230 1))
% 109.43/109.61  (define @t251 () (+ @t198 @t236))
% 109.43/109.61  (define @t252 () (>= @t251 0))
% 109.43/109.61  (define @t253 () (or @t232 @t231 @t252 @t229 @t248 @t227 @t244 @t240 @t216 @t215 @t214 @t204))
% 109.43/109.61  (define @t254 () (not @t253))
% 109.43/109.61  (define @t255 () (@list true))
% 109.43/109.61  (define @t256 () (@list @t233))
% 109.43/109.61  (define @t257 () (= @t30 @t37))
% 109.43/109.61  (define @t258 () (@list tptp.int @t201 @t200))
% 109.43/109.61  (define @t259 () (tptp.elts tptp.int @t202))
% 109.43/109.61  (define @t260 () (= @t200 @t259))
% 109.43/109.61  (define @t261 () (tptp.sort @t77 @t200))
% 109.43/109.61  (define @t262 () (not @t261))
% 109.43/109.61  (define @t263 () (or @t262 @t260))
% 109.43/109.61  (define @t264 () (@list false false))
% 109.43/109.61  (define @t265 () (+ @t42 (* -1 @t62)))
% 109.43/109.61  (define @t266 () (>= @t265 0))
% 109.43/109.61  (define @t267 () (>= @t42 0))
% 109.43/109.61  (define @t268 () (not @t267))
% 109.43/109.61  (define @t269 () (or @t268 @t266 @t61))
% 109.43/109.61  (define @t270 () (not @t266))
% 109.43/109.61  (define @t271 () (and @t267 @t270))
% 109.43/109.61  (define @t272 () (>= @t42 @t62))
% 109.43/109.61  (define @t273 () (* -1 @t68))
% 109.43/109.61  (define @t274 () (+ @t11 @t62 @t273))
% 109.43/109.61  (define @t275 () (+ @t68 1))
% 109.43/109.61  (define @t276 () (>= @t274 1))
% 109.43/109.61  (define @t277 () (>= @t69 @t275))
% 109.43/109.61  (define @t278 () (+ @t12 @t62 @t273))
% 109.43/109.61  (define @t279 () (>= @t278 1))
% 109.43/109.61  (define @t280 () (>= @t70 @t275))
% 109.43/109.61  (define @t281 () (+ @t42 @t197))
% 109.43/109.61  (define @t282 () (+ @t197 @t42))
% 109.43/109.61  (define @t283 () (tptp.t2tb1 @t203))
% 109.43/109.61  (define @t284 () (tptp.get1 tptp.int @t283 @t282))
% 109.43/109.61  (define @t285 () (tptp.tb2t @t284))
% 109.43/109.61  (define @t286 () (+ @t42 @t198))
% 109.43/109.61  (define @t287 () (+ @t198 @t42))
% 109.43/109.61  (define @t288 () (tptp.get1 tptp.int @t283 @t287))
% 109.43/109.61  (define @t289 () (tptp.tb2t @t288))
% 109.43/109.61  (define @t290 () (= @t289 @t285))
% 109.43/109.61  (define @t291 () (+ @t42 @t217))
% 109.43/109.61  (define @t292 () (>= @t291 0))
% 109.43/109.61  (define @t293 () (or @t268 @t292 @t290))
% 109.43/109.61  (define @t294 () (forall @t46 @t293))
% 109.43/109.61  (define @t295 () (tptp.length tptp.int @t283))
% 109.43/109.61  (define @t296 () (* -1 @t295))
% 109.43/109.61  (define @t297 () (+ @t197 @t195 @t296))
% 109.43/109.61  (define @t298 () (not (>= @t297 1)))
% 109.43/109.61  (define @t299 () (+ @t198 @t195 @t296))
% 109.43/109.61  (define @t300 () (not (>= @t299 1)))
% 109.43/109.61  (define @t301 () (>= @t195 0))
% 109.43/109.61  (define @t302 () (and @t301 @t300 @t298 @t294))
% 109.43/109.61  (define @t303 () (= @t226 @t302))
% 109.43/109.61  (define @t304 () (forall @t74 (= @t72 (and (>= @t62 0) (not @t279) (not @t276) (forall @t46 @t269)))))
% 109.43/109.61  (define @t305 () (= (tptp.tb2t (tptp.get1 tptp.int @t283 @t286)) (tptp.tb2t (tptp.get1 tptp.int @t283 @t281))))
% 109.43/109.61  (define @t306 () (forall @t46 (or @t268 @t292 @t305)))
% 109.43/109.61  (define @t307 () (and @t301 @t300 @t298 @t306))
% 109.43/109.61  (define @t308 () (= @t226 @t307))
% 109.43/109.61  (define @t309 () (@list false))
% 109.43/109.61  (define @t310 () (@list @t304))
% 109.43/109.61  (define @t311 () (not @t307))
% 109.43/109.61  (define @t312 () (@list @t307))
% 109.43/109.61  (define @t313 () (>= @t195 -1))
% 109.43/109.61  (define @t314 () (< @t195 -1))
% 109.43/109.61  (define @t315 () (* -1 0))
% 109.43/109.61  (define @t316 () (+ -1 @t315))
% 109.43/109.61  (define @t317 () (+ @t195 @t217))
% 109.43/109.61  (define @t318 () (>= @t317 @t316))
% 109.43/109.61  (define @t319 () (< -1 0))
% 109.43/109.61  (define @t320 () (+ -1 @t42 @t217))
% 109.43/109.61  (define @t321 () (>= @t291 1))
% 109.43/109.61  (define @t322 () (+ -1 @t217))
% 109.43/109.61  (define @t323 () (* -1 @t196))
% 109.43/109.61  (define @t324 () (+ @t42 @t323))
% 109.43/109.61  (define @t325 () (>= @t324 0))
% 109.43/109.61  (define @t326 () (or @t268 @t325 @t290))
% 109.43/109.61  (define @t327 () (forall @t46 @t326))
% 109.43/109.61  (define @t328 () (+ 1 @t197 @t195 @t296))
% 109.43/109.61  (define @t329 () (>= @t297 0))
% 109.43/109.61  (define @t330 () (+ @t296 @t195 @t197 1))
% 109.43/109.61  (define @t331 () (+ @t197 @t196 @t296))
% 109.43/109.61  (define @t332 () (>= @t331 1))
% 109.43/109.61  (define @t333 () (not @t332))
% 109.43/109.61  (define @t334 () (+ 1 @t198 @t195 @t296))
% 109.43/109.61  (define @t335 () (>= @t299 0))
% 109.43/109.61  (define @t336 () (+ @t296 @t195 @t198 1))
% 109.43/109.61  (define @t337 () (+ @t198 @t196 @t296))
% 109.43/109.61  (define @t338 () (>= @t337 1))
% 109.43/109.61  (define @t339 () (not @t338))
% 109.43/109.61  (define @t340 () (>= @t196 0))
% 109.43/109.61  (define @t341 () (and @t340 @t339 @t333 @t327))
% 109.43/109.61  (define @t342 () (= @t204 @t341))
% 109.43/109.61  (define @t343 () (forall @t46 (or @t268 @t321 @t305)))
% 109.43/109.61  (define @t344 () (not @t329))
% 109.43/109.61  (define @t345 () (not @t335))
% 109.43/109.61  (define @t346 () (and @t313 @t345 @t344 @t343))
% 109.43/109.61  (define @t347 () (= @t204 @t346))
% 109.43/109.61  (define @t348 () (not @t346))
% 109.43/109.61  (define @t349 () (@list true false))
% 109.43/109.61  (define @t350 () (= @t201 @t295))
% 109.43/109.61  (define @t351 () (<= 0 -1))
% 109.43/109.61  (define @t352 () (+ -1 0 0))
% 109.43/109.61  (define @t353 () (* -1 1))
% 109.43/109.61  (define @t354 () (+ @t353 0 @t315))
% 109.43/109.61  (define @t355 () (* 0 @t201))
% 109.43/109.61  (define @t356 () (= @t355 0))
% 109.43/109.61  (define @t357 () (* 0 @t295))
% 109.43/109.61  (define @t358 () (= @t357 0))
% 109.43/109.61  (define @t359 () (+ @t357 @t195 @t197 @t217 @t218 @t355))
% 109.43/109.61  (define @t360 () (+ @t201 @t296))
% 109.43/109.61  (define @t361 () (+ (* -1 @t219) @t360 (* -1 @t297)))
% 109.43/109.61  (define @t362 () (= (* 1 (- @t360 0)) (* 1 (- @t201 @t295))))
% 109.43/109.61  (define @t363 () (= (= @t360 0) @t350))
% 109.43/109.61  (define @t364 () (tptp.length tptp.int @t202))
% 109.43/109.61  (define @t365 () (= @t201 @t364))
% 109.43/109.61  (define @t366 () (= @t202 @t283))
% 109.43/109.61  (define @t367 () (and @t329 @t350 @t220))
% 109.43/109.61  (define @t368 () (@list false false false))
% 109.43/109.61  (define @t369 () (+ @t357 @t195 @t198 @t217 @t222 @t355))
% 109.43/109.61  (define @t370 () (+ (* -1 @t223) @t360 (* -1 @t299)))
% 109.43/109.61  (define @t371 () (and @t335 @t350 @t224))
% 109.43/109.61  (define @t372 () (not @t343))
% 109.43/109.61  (define @t373 () (not @t313))
% 109.43/109.61  (define @t374 () (@quantifiers_skolemize @t343 0))
% 109.43/109.61  (define @t375 () (+ @t197 @t374))
% 109.43/109.61  (define @t376 () (tptp.tb2t (tptp.get1 tptp.int @t283 @t375)))
% 109.43/109.61  (define @t377 () (+ @t198 @t374))
% 109.43/109.61  (define @t378 () (tptp.get1 tptp.int @t283 @t377))
% 109.43/109.61  (define @t379 () (tptp.tb2t @t378))
% 109.43/109.61  (define @t380 () (= @t379 @t376))
% 109.43/109.61  (define @t381 () (* -1 @t374))
% 109.43/109.61  (define @t382 () (+ @t195 @t381))
% 109.43/109.61  (define @t383 () (>= @t382 0))
% 109.43/109.61  (define @t384 () (not @t383))
% 109.43/109.61  (define @t385 () (>= @t374 0))
% 109.43/109.61  (define @t386 () (not @t385))
% 109.43/109.61  (define @t387 () (or @t386 @t384 @t380))
% 109.43/109.61  (define @t388 () (not @t387))
% 109.43/109.61  (define @t389 () (+ @t374 @t197))
% 109.43/109.61  (define @t390 () (tptp.get1 tptp.int @t283 @t389))
% 109.43/109.61  (define @t391 () (tptp.tb2t @t390))
% 109.43/109.61  (define @t392 () (+ @t374 @t198))
% 109.43/109.61  (define @t393 () (tptp.get1 tptp.int @t283 @t392))
% 109.43/109.61  (define @t394 () (tptp.tb2t @t393))
% 109.43/109.61  (define @t395 () (= @t394 @t391))
% 109.43/109.61  (define @t396 () (+ @t217 @t374))
% 109.43/109.61  (define @t397 () (+ @t382 1))
% 109.43/109.61  (define @t398 () (+ @t374 @t217))
% 109.43/109.61  (define @t399 () (>= @t398 1))
% 109.43/109.61  (define @t400 () (or @t386 @t399 @t395))
% 109.43/109.61  (define @t401 () (not @t400))
% 109.43/109.61  (define @t402 () (@list @t387))
% 109.43/109.61  (define @t403 () (>= @t398 0))
% 109.43/109.61  (define @t404 () (or @t386 @t403 @t395))
% 109.43/109.61  (define @t405 () (>= @t382 1))
% 109.43/109.61  (define @t406 () (not @t405))
% 109.43/109.61  (define @t407 () (or @t386 @t406 @t380))
% 109.43/109.61  (define @t408 () (not @t380))
% 109.43/109.61  (define @t409 () (= @t195 @t374))
% 109.43/109.61  (define @t410 () (not @t409))
% 109.43/109.61  (define @t411 () (* 1 (- @t195 @t374)))
% 109.43/109.61  (define @t412 () (= @t382 0))
% 109.43/109.61  (define @t413 () (and @t383 @t410))
% 109.43/109.61  (define @t414 () (= @t42 @t44))
% 109.43/109.61  (define @t415 () (tptp.t2tb @t377))
% 109.43/109.61  (define @t416 () (tptp.tb2t @t415))
% 109.43/109.61  (define @t417 () (+ @t381 @t416))
% 109.43/109.61  (define @t418 () (* 1 (- @t198 @t417)))
% 109.43/109.61  (define @t419 () (= @t198 @t417))
% 109.43/109.61  (define @t420 () (= @t377 @t416))
% 109.43/109.61  (define @t421 () (forall @t46 @t414))
% 109.43/109.61  (define @t422 () (@list @t421))
% 109.43/109.61  (define @t423 () (tptp.tb2t @t210))
% 109.43/109.61  (define @t424 () (+ @t217 @t423))
% 109.43/109.61  (define @t425 () (* 1 (- @t198 @t424)))
% 109.43/109.61  (define @t426 () (= @t198 @t424))
% 109.43/109.61  (define @t427 () (= @t209 @t423))
% 109.43/109.61  (define @t428 () (* -1 @t416))
% 109.43/109.61  (define @t429 () (+ @t423 @t428))
% 109.43/109.61  (define @t430 () (>= @t429 1))
% 109.43/109.61  (define @t431 () (not @t430))
% 109.43/109.61  (define @t432 () (not @t419))
% 109.43/109.61  (define @t433 () (not @t426))
% 109.43/109.61  (define @t434 () (+ @t353 1 @t315 0))
% 109.43/109.61  (define @t435 () (* -1 @t423))
% 109.43/109.61  (define @t436 () (* 0 @t198))
% 109.43/109.61  (define @t437 () (= @t436 0))
% 109.43/109.61  (define @t438 () (* 0 @t195))
% 109.43/109.61  (define @t439 () (= @t438 0))
% 109.43/109.61  (define @t440 () (* 0 @t416))
% 109.43/109.61  (define @t441 () (= @t440 0))
% 109.43/109.61  (define @t442 () (+ @t440 @t423 @t435 @t381 @t374 @t438 @t436))
% 109.43/109.61  (define @t443 () (+ @t198 @t374 @t428))
% 109.43/109.61  (define @t444 () (+ @t198 @t195 @t435))
% 109.43/109.61  (define @t445 () (+ (* -1 @t429) @t382 (* -1 @t444) @t443))
% 109.43/109.61  (define @t446 () (>= @t445 @t434))
% 109.43/109.61  (define @t447 () (= (* 1 (- @t443 0)) @t418))
% 109.43/109.61  (define @t448 () (= @t443 0))
% 109.43/109.61  (define @t449 () (= @t448 @t419))
% 109.43/109.61  (define @t450 () (= @t444 0))
% 109.43/109.61  (define @t451 () (= (* 1 (- @t444 0)) @t425))
% 109.43/109.61  (define @t452 () (= @t450 @t426))
% 109.43/109.61  (define @t453 () (and @t419 @t426 @t406 @t430))
% 109.43/109.61  (define @t454 () (= @t423 @t416))
% 109.43/109.61  (define @t455 () (not @t454))
% 109.43/109.61  (define @t456 () (+ -1 1))
% 109.43/109.61  (define @t457 () (>= @t429 @t456))
% 109.43/109.61  (define @t458 () (<= @t429 -1))
% 109.43/109.61  (define @t459 () (+ -1 @t315 0 @t315))
% 109.43/109.61  (define @t460 () (+ @t440 @t435 @t423 @t374 @t381 @t438 @t436))
% 109.43/109.61  (define @t461 () (+ @t429 (* -1 @t382) @t444 (* -1 @t443)))
% 109.43/109.61  (define @t462 () (= @t429 0))
% 109.43/109.61  (define @t463 () (and @t419 @t426 @t383 @t455 @t431))
% 109.43/109.61  (define @t464 () (= @t212 @t376))
% 109.43/109.61  (define @t465 () (not @t464))
% 109.43/109.61  (define @t466 () (= @t415 (tptp.t2tb @t416)))
% 109.43/109.61  (define @t467 () (not @t466))
% 109.43/109.61  (define @t468 () (tptp.t2tb @t423))
% 109.43/109.61  (define @t469 () (= @t210 @t468))
% 109.43/109.61  (define @t470 () (not @t469))
% 109.43/109.61  (define @t471 () (tptp.elts tptp.int @t283))
% 109.43/109.61  (define @t472 () (= @t378 (tptp.get tptp.int tptp.int @t471 @t415)))
% 109.43/109.61  (define @t473 () (not @t472))
% 109.43/109.61  (define @t474 () (= @t211 (tptp.t2tb @t212)))
% 109.43/109.61  (define @t475 () (not @t474))
% 109.43/109.61  (define @t476 () (not @t366))
% 109.43/109.61  (define @t477 () (tptp.t2tb @t208))
% 109.43/109.61  (define @t478 () (= @t207 @t477))
% 109.43/109.61  (define @t479 () (not @t478))
% 109.43/109.61  (define @t480 () (not @t260))
% 109.43/109.61  (define @t481 () (= @t212 @t379))
% 109.43/109.61  (define @t482 () (and @t213 @t260 @t478 @t366 @t474 @t408 @t472 @t469 @t466 @t454))
% 109.43/109.61  (define @t483 () (tptp.get1 tptp.int @t283 @t205))
% 109.43/109.61  (define @t484 () (= @t483 (tptp.get tptp.int tptp.int @t471 @t206)))
% 109.43/109.61  (define @t485 () (= @t205 @t375))
% 109.43/109.61  (define @t486 () (and @t213 @t260 @t366 @t409 @t484))
% 109.43/109.61  (assume @p1 (forall (@list @t1) (tptp.sort @t1 (tptp.witness @t1))))
% 109.43/109.61  (assume @p2 (forall (@list @t1 @t4 @t3 @t2) (tptp.sort @t1 (tptp.match_bool @t1 @t4 @t3 @t2))))
% 109.43/109.61  (assume @p3 (forall @t7 (=> (tptp.sort @t1 @t5) (= (tptp.match_bool @t1 tptp.true @t5 @t6) @t5))))
% 109.43/109.61  (assume @p4 (forall @t7 (=> (tptp.sort @t1 @t6) (= (tptp.match_bool @t1 tptp.false @t5 @t6) @t6))))
% 109.43/109.61  (assume @p5 (not (= tptp.true tptp.false)))
% 109.43/109.61  (assume @p6 (forall (@list @t8) (or (= @t8 tptp.true) (= @t8 tptp.false))))
% 109.43/109.61  (assume @p7 (forall (@list @t9) (= @t9 tptp.tuple02)))
% 109.43/109.61  (assume @p8 (forall (@list @t12 @t11 @t10) (=> (<= @t12 @t11) (=> (<= 0 @t10) (<= (* @t12 @t10) (* @t11 @t10))))))
% 109.43/109.61  (assume @p9 (forall @t15 (tptp.sort @t14 (tptp.mk_ref @t1 @t13))))
% 109.43/109.61  (assume @p10 (forall @t15 (tptp.sort @t1 (tptp.contents @t1 @t13))))
% 109.43/109.61  (assume @p11 (forall @t17 (=> (tptp.sort @t1 @t16) (= (tptp.contents @t1 (tptp.mk_ref @t1 @t16)) @t16))))
% 109.43/109.61  (assume @p12 (forall @t17 (=> (tptp.sort @t14 @t16) (= @t16 (tptp.mk_ref @t1 (tptp.contents @t1 @t16))))))
% 109.43/109.61  (assume @p13 (forall (@list @t1 @t18 @t13 @t3) (tptp.sort @t18 (tptp.get @t18 @t1 @t13 @t3))))
% 109.43/109.61  (assume @p14 (forall (@list @t1 @t18 @t13 @t3 @t2) (tptp.sort @t19 (tptp.set @t18 @t1 @t13 @t3 @t2))))
% 109.43/109.61  (assume @p15 (forall (@list @t1 @t18 @t23 @t22 @t21 @t20) (=> @t26 (=> @t25 (= @t24 @t20)))))
% 109.43/109.61  (assume @p16 (forall (@list @t1 @t18 @t23 @t22 @t21) (=> (tptp.sort @t1 @t22) (=> (tptp.sort @t1 @t21) (forall (@list @t20) (=> (not @t25) (= @t24 (tptp.get @t18 @t1 @t23 @t21))))))))
% 109.43/109.61  (assume @p17 (forall (@list @t1 @t18 @t13) (tptp.sort @t19 (tptp.const @t18 @t1 @t13))))
% 109.43/109.61  (assume @p18 (forall (@list @t1 @t18 @t20 @t22) (=> @t26 (= (tptp.get @t18 @t1 (tptp.const @t18 @t1 @t20) @t22) @t20))))
% 109.43/109.61  (assume @p19 (forall @t28 (tptp.sort @t27 (tptp.mk_array @t1 @t12 @t3))))
% 109.43/109.61  (assume @p20 @t35)
% 109.43/109.61  (assume @p21 (forall @t15 (tptp.sort @t36 (tptp.elts @t1 @t13))))
% 109.43/109.61  (assume @p22 @t40)
% 109.43/109.61  (assume @p23 (forall @t17 (= @t16 (tptp.mk_array @t1 (tptp.length @t1 @t16) (tptp.elts @t1 @t16)))))
% 109.43/109.61  (assume @p24 (forall (@list @t1 @t13 @t41) (tptp.sort @t1 (tptp.get1 @t1 @t13 @t41))))
% 109.43/109.61  (assume @p25 (forall (@list @t12) (tptp.sort tptp.int (tptp.t2tb @t12))))
% 109.43/109.61  (assume @p26 @t47)
% 109.43/109.61  (assume @p27 @t51)
% 109.43/109.61  (assume @p28 (forall (@list @t1 @t22 @t42) (= (tptp.get1 @t1 @t22 @t42) (tptp.get @t1 tptp.int @t52 @t43))))
% 109.43/109.61  (assume @p29 (forall (@list @t1 @t13 @t41 @t2) (tptp.sort @t27 (tptp.set1 @t1 @t13 @t41 @t2))))
% 109.43/109.61  (assume @p30 (forall (@list @t1 @t22 @t42 @t53) (= (tptp.set1 @t1 @t22 @t42 @t53) (tptp.mk_array @t1 (tptp.length @t1 @t22) (tptp.set @t1 tptp.int @t52 @t43 @t53)))))
% 109.43/109.61  (assume @p31 (forall @t28 (tptp.sort @t27 (tptp.make @t1 @t12 @t3))))
% 109.43/109.61  (assume @p32 (forall (@list @t1 @t54 @t53) (= (tptp.make @t1 @t54 @t53) (tptp.mk_array @t1 @t54 (tptp.const @t1 tptp.int @t53)))))
% 109.43/109.61  (assume @p33 (forall (@list @t55) (tptp.sort (tptp.array tptp.int) (tptp.t2tb1 @t55))))
% 109.43/109.61  (assume @p34 (forall (@list @t56) (= (tptp.tb2t1 (tptp.t2tb1 @t56)) @t56)))
% 109.43/109.61  (assume @p35 @t58)
% 109.43/109.61  (assume @p36 @t75)
% 109.43/109.61  (assume @p37 (forall (@list @t59 @t12 @t11 @t42) (=> @t64 (=> (not @t61) (forall (@list @t62) (=> @t63 (not @t72)))))))
% 109.43/109.61  (assume @p38 (forall (@list @t76) (tptp.sort @t77 (tptp.t2tb2 @t76))))
% 109.43/109.61  (assume @p39 (forall (@list @t78) (= (tptp.tb2t2 (tptp.t2tb2 @t78)) @t78)))
% 109.43/109.61  (assume @p40 (forall @t50 (= (tptp.t2tb2 (tptp.tb2t2 @t48)) @t48)))
% 109.43/109.61  (assume @p41 @t111)
% 109.43/109.61  (assume @p42 true)
% 109.43/109.61  (step @p43 :rule aci_norm :args ((= @t135 @t133)))
% 109.43/109.61  (step @p44 :rule cong :premises (@p43) :args (@t137))
% 109.43/109.61  (step @p45 :rule quant-merge-prenex :args ((= (forall @t109 @t139) @t137)))
% 109.43/109.61  (step @p46 :rule alpha_equiv :args (@t140 (@list @t112) (@list @t85)))
% 109.43/109.61  (step @p47 :rule refl :args (@t124))
% 109.43/109.61  (step @p48 :rule refl :args (@t126))
% 109.43/109.61  (step @p49 :rule refl :args (@t128))
% 109.43/109.61  (step @p50 :rule refl :args (@t130))
% 109.43/109.61  (step @p51 :rule refl :args (@t132))
% 109.43/109.61  (step @p52 :rule nary_cong :premises (@p51 @p50 @p49 @p48 @p47 @p46) :args (@t141))
% 109.43/109.61  (step @p53 :rule quant-miniscope-or :args ((= @t139 @t141)))
% 109.43/109.61  (step @p54 :rule trans :premises (@p53 @p52))
% 109.43/109.61  (step @p55 :rule symm :premises (@p54))
% 109.43/109.61  (step @p56 :rule cong :premises (@p55) :args ((forall @t109 @t156)))
% 109.43/109.61  (step @p57 :rule trans :premises (@p56 @p45))
% 109.43/109.61  (step @p58 :rule trans :premises (@p57 @p44))
% 109.43/109.61  (step @p59 :rule aci_norm :args ((= (or (or @t132 @t130 @t128 @t126 @t124) @t155) @t156)))
% 109.43/109.61  (step @p60 :rule refl :args (@t155))
% 109.43/109.61  (step @p61 :rule bool-double-not-elim :args (@t124))
% 109.43/109.61  (step @p62 :rule bool-double-not-elim :args (@t128))
% 109.43/109.61  (step @p63 :rule nary_cong :premises (@p51 @p50 @p62 @p48 @p61) :args (@t161))
% 109.43/109.61  (step @p64 :rule aci_norm :args ((= (or @t132 (or @t130 (or @t160 (or @t126 @t158)))) @t161)))
% 109.43/109.61  (step @p65 :rule trans :premises (@p64 @p63))
% 109.43/109.61  (step @p66 :rule bool-and-de-morgan :args (@t125 @t157 true))
% 109.43/109.61  (step @p67 :rule refl :args (@t160))
% 109.43/109.61  (step @p68 :rule nary_cong :premises (@p67 @p66) :args ((or @t160 (not (and @t125 @t157)))))
% 109.43/109.61  (step @p69 :rule bool-and-de-morgan :args (@t159 @t125 (and @t157)))
% 109.43/109.61  (step @p70 :rule trans :premises (@p69 @p68))
% 109.43/109.61  (step @p71 :rule nary_cong :premises (@p50 @p70) :args ((or @t130 (not (and @t159 @t125 @t157)))))
% 109.43/109.61  (step @p72 :rule bool-and-de-morgan :args (@t129 @t159 (and @t125 @t157)))
% 109.43/109.61  (step @p73 :rule trans :premises (@p72 @p71))
% 109.43/109.61  (step @p74 :rule nary_cong :premises (@p51 @p73) :args ((or @t132 (not (and @t129 @t159 @t125 @t157)))))
% 109.43/109.61  (step @p75 :rule bool-and-de-morgan :args (@t131 @t129 (and @t159 @t125 @t157)))
% 109.43/109.61  (step @p76 :rule trans :premises (@p75 @p74))
% 109.43/109.61  (step @p77 :rule trans :premises (@p76 @p65))
% 109.43/109.61  (step @p78 :rule nary_cong :premises (@p77 @p60) :args ((or (not @t162) @t155)))
% 109.43/109.61  (step @p79 :rule trans :premises (@p78 @p59))
% 109.43/109.61  (step @p80 :rule bool-impl-elim :args (@t162 @t155))
% 109.43/109.61  (step @p81 :rule trans :premises (@p80 @p79))
% 109.43/109.61  (step @p82 :rule cong :premises (@p81) :args ((forall @t109 (=> @t162 @t155))))
% 109.43/109.61  (step @p83 :rule trans :premises (@p82 @p58))
% 109.43/109.61  (step @p84 :rule aci_norm :args ((= (or @t153 @t163) @t154)))
% 109.43/109.61  (step @p85 :rule aci_norm :args ((= (or @t152 @t164) @t163)))
% 109.43/109.61  (step @p86 :rule aci_norm :args ((= (or @t150 @t165) @t164)))
% 109.43/109.61  (step @p87 :rule aci_norm :args ((= (or (or @t148 @t150) @t166) @t165)))
% 109.43/109.61  (step @p88 :rule aci_norm :args ((= (or (or @t146 @t152) (or @t144 @t143)) @t166)))
% 109.43/109.61  (step @p89 :rule bool-impl-elim :args (@t93 @t143))
% 109.43/109.61  (step @p90 :rule bool-double-not-elim :args (@t152))
% 109.43/109.61  (step @p91 :rule refl :args (@t146))
% 109.43/109.61  (step @p92 :rule nary_cong :premises (@p91 @p90) :args ((or @t146 @t168)))
% 109.43/109.61  (step @p93 :rule bool-and-de-morgan :args (@t145 @t167 true))
% 109.43/109.61  (step @p94 :rule trans :premises (@p93 @p92))
% 109.43/109.61  (step @p95 :rule nary_cong :premises (@p94 @p89) :args ((or (not @t170) @t169)))
% 109.43/109.61  (step @p96 :rule trans :premises (@p95 @p88))
% 109.43/109.61  (step @p97 :rule bool-impl-elim :args (@t170 @t169))
% 109.43/109.61  (step @p98 :rule trans :premises (@p97 @p96))
% 109.43/109.61  (step @p99 :rule bool-double-not-elim :args (@t150))
% 109.43/109.61  (step @p100 :rule refl :args (@t148))
% 109.43/109.61  (step @p101 :rule nary_cong :premises (@p100 @p99) :args ((or @t148 @t172)))
% 109.43/109.61  (step @p102 :rule bool-and-de-morgan :args (@t147 @t171 true))
% 109.43/109.61  (step @p103 :rule trans :premises (@p102 @p101))
% 109.43/109.61  (step @p104 :rule nary_cong :premises (@p103 @p98) :args ((or (not @t174) @t173)))
% 109.43/109.61  (step @p105 :rule trans :premises (@p104 @p87))
% 109.43/109.61  (step @p106 :rule bool-impl-elim :args (@t174 @t173))
% 109.43/109.61  (step @p107 :rule trans :premises (@p106 @p105))
% 109.43/109.61  (step @p108 :rule refl :args (@t150))
% 109.43/109.61  (step @p109 :rule nary_cong :premises (@p108 @p107) :args ((or @t150 @t175)))
% 109.43/109.61  (step @p110 :rule trans :premises (@p109 @p86))
% 109.43/109.61  (step @p111 :rule refl :args (@t175))
% 109.43/109.61  (step @p112 :rule nary_cong :premises (@p99 @p111) :args ((or @t172 @t175)))
% 109.43/109.61  (step @p113 :rule bool-impl-elim :args (@t171 @t175))
% 109.43/109.61  (step @p114 :rule trans :premises (@p113 @p112))
% 109.43/109.61  (step @p115 :rule trans :premises (@p114 @p110))
% 109.43/109.61  (step @p116 :rule refl :args (@t152))
% 109.43/109.61  (step @p117 :rule nary_cong :premises (@p116 @p115) :args ((or @t152 @t176)))
% 109.43/109.61  (step @p118 :rule trans :premises (@p117 @p85))
% 109.43/109.61  (step @p119 :rule refl :args (@t176))
% 109.43/109.61  (step @p120 :rule nary_cong :premises (@p90 @p119) :args ((or @t168 @t176)))
% 109.43/109.61  (step @p121 :rule bool-impl-elim :args (@t167 @t176))
% 109.43/109.61  (step @p122 :rule trans :premises (@p121 @p120))
% 109.43/109.61  (step @p123 :rule trans :premises (@p122 @p118))
% 109.43/109.61  (step @p124 :rule refl :args (@t153))
% 109.43/109.61  (step @p125 :rule nary_cong :premises (@p124 @p123) :args ((or @t153 @t177)))
% 109.43/109.61  (step @p126 :rule trans :premises (@p125 @p84))
% 109.43/109.61  (step @p127 :rule bool-impl-elim :args (@t103 @t177))
% 109.43/109.61  (step @p128 :rule trans :premises (@p127 @p126))
% 109.43/109.61  (step @p129 :rule cong :premises (@p128) :args ((forall @t105 (=> @t103 @t177))))
% 109.43/109.61  (step @p130 :rule aci_norm :args ((= (or false @t143) @t143)))
% 109.43/109.61  (step @p131 :rule refl :args (@t143))
% 109.43/109.61  (step @p132 :rule evaluate :args ((not true)))
% 109.43/109.61  (step @p133 :rule eq-refl :args (@t85))
% 109.43/109.61  (step @p134 :rule arith_poly_norm :args ((= @t178 @t85)))
% 109.43/109.61  (step @p135 :rule refl :args (@t85))
% 109.43/109.61  (step @p136 :rule cong :premises (@p135 @p134) :args (@t179))
% 109.43/109.61  (step @p137 :rule trans :premises (@p136 @p133))
% 109.43/109.61  (step @p138 :rule cong :premises (@p137) :args (@t180))
% 109.43/109.61  (step @p139 :rule trans :premises (@p138 @p132))
% 109.43/109.61  (step @p140 :rule nary_cong :premises (@p139 @p131) :args (@t181))
% 109.43/109.61  (step @p141 :rule trans :premises (@p140 @p130))
% 109.43/109.61  (step @p142 :rule quant-var-elim-eq :args ((= (forall @t89 (or (not @t185) @t184 @t84)) @t181)))
% 109.43/109.61  (step @p143 :rule refl :args (@t84))
% 109.43/109.61  (step @p144 :rule refl :args (@t184))
% 109.43/109.61  (step @p145 :rule arith_poly_norm :args ((= @t187 @t186)))
% 109.43/109.61  (step @p146 :rule arith_poly_norm_rel :premises (@p145) :args ((= @t183 @t185)))
% 109.43/109.61  (step @p147 :rule cong :premises (@p146) :args (@t184))
% 109.43/109.61  (step @p148 :rule nary_cong :premises (@p147 @p144 @p143) :args (@t188))
% 109.43/109.61  (step @p149 :rule aci_norm :args ((= @t189 @t188)))
% 109.43/109.61  (step @p150 :rule trans :premises (@p149 @p148))
% 109.43/109.61  (step @p151 :rule cong :premises (@p150) :args ((forall @t89 @t189)))
% 109.43/109.61  (step @p152 :rule trans :premises (@p151 @p142))
% 109.43/109.61  (step @p153 :rule trans :premises (@p152 @p141))
% 109.43/109.61  (step @p154 :rule bool-impl-elim :args (@t183 @t84))
% 109.43/109.61  (step @p155 :rule cong :premises (@p154) :args ((forall @t89 (=> @t183 @t84))))
% 109.43/109.61  (step @p156 :rule trans :premises (@p155 @p153))
% 109.43/109.61  (step @p157 :rule refl :args (@t84))
% 109.43/109.61  (step @p158 :rule arith_poly_norm :args ((= @t186 @t187)))
% 109.43/109.61  (step @p159 :rule arith_poly_norm_rel :premises (@p158) :args ((= @t185 @t183)))
% 109.43/109.61  (step @p160 :rule arith_poly_norm :args ((= @t86 @t142)))
% 109.43/109.61  (step @p161 :rule refl :args (@t79))
% 109.43/109.61  (step @p162 :rule cong :premises (@p161 @p160) :args (@t87))
% 109.43/109.61  (step @p163 :rule trans :premises (@p162 @p159))
% 109.43/109.61  (step @p164 :rule cong :premises (@p163 @p157) :args (@t88))
% 109.43/109.61  (step @p165 :rule cong :premises (@p164) :args (@t90))
% 109.43/109.61  (step @p166 :rule trans :premises (@p165 @p156))
% 109.43/109.61  (step @p167 :rule refl :args (@t93))
% 109.43/109.61  (step @p168 :rule cong :premises (@p167 @p166) :args (@t94))
% 109.43/109.61  (step @p169 :rule arith_poly_norm :args ((= (* 1 (- @t92 @t82)) (* 1 (- @t151 0)))))
% 109.43/109.61  (step @p170 :rule arith_poly_norm_rel :premises (@p169) :args ((= @t190 @t152)))
% 109.43/109.61  (step @p171 :rule cong :premises (@p170) :args ((not @t190)))
% 109.43/109.61  (step @p172 :rule arith-elim-lt :args (@t92 @t82))
% 109.43/109.61  (step @p173 :rule trans :premises (@p172 @p171))
% 109.43/109.61  (step @p174 :rule arith-elim-leq :args (0 @t92))
% 109.43/109.61  (step @p175 :rule nary_cong :premises (@p174 @p173) :args (@t96))
% 109.43/109.61  (step @p176 :rule cong :premises (@p175 @p168) :args (@t97))
% 109.43/109.61  (step @p177 :rule arith_poly_norm :args ((= (* 1 (- @t91 @t82)) (* 1 (- @t149 0)))))
% 109.43/109.61  (step @p178 :rule arith_poly_norm_rel :premises (@p177) :args ((= @t191 @t150)))
% 109.43/109.61  (step @p179 :rule cong :premises (@p178) :args ((not @t191)))
% 109.43/109.61  (step @p180 :rule arith-elim-lt :args (@t91 @t82))
% 109.43/109.61  (step @p181 :rule trans :premises (@p180 @p179))
% 109.43/109.61  (step @p182 :rule arith-elim-leq :args (0 @t91))
% 109.43/109.61  (step @p183 :rule nary_cong :premises (@p182 @p181) :args (@t99))
% 109.43/109.61  (step @p184 :rule cong :premises (@p183 @p176) :args (@t100))
% 109.43/109.61  (step @p185 :rule cong :premises (@p181 @p184) :args (@t101))
% 109.43/109.61  (step @p186 :rule cong :premises (@p173 @p185) :args (@t102))
% 109.43/109.61  (step @p187 :rule refl :args (@t103))
% 109.43/109.61  (step @p188 :rule cong :premises (@p187 @p186) :args (@t104))
% 109.43/109.61  (step @p189 :rule cong :premises (@p188) :args (@t106))
% 109.43/109.61  (step @p190 :rule trans :premises (@p189 @p129))
% 109.43/109.61  (step @p191 :rule arith_poly_norm :args ((= (* 1 (- @t11 @t82)) (* 1 (- @t123 0)))))
% 109.43/109.61  (step @p192 :rule arith_poly_norm_rel :premises (@p191) :args ((= @t192 @t124)))
% 109.43/109.61  (step @p193 :rule cong :premises (@p192) :args ((not @t192)))
% 109.43/109.61  (step @p194 :rule arith-elim-lt :args (@t11 @t82))
% 109.43/109.61  (step @p195 :rule trans :premises (@p194 @p193))
% 109.43/109.61  (step @p196 :rule arith-elim-leq :args (0 @t11))
% 109.43/109.61  (step @p197 :rule arith_poly_norm :args ((= (* 1 (- @t12 @t82)) (* 1 (- @t127 0)))))
% 109.43/109.61  (step @p198 :rule arith_poly_norm_rel :premises (@p197) :args ((= @t193 @t128)))
% 109.43/109.61  (step @p199 :rule cong :premises (@p198) :args ((not @t193)))
% 109.43/109.61  (step @p200 :rule arith-elim-lt :args (@t12 @t82))
% 109.43/109.61  (step @p201 :rule trans :premises (@p200 @p199))
% 109.43/109.61  (step @p202 :rule arith-elim-leq :args (0 @t12))
% 109.43/109.61  (step @p203 :rule arith-elim-leq :args (0 @t82))
% 109.43/109.61  (step @p204 :rule nary_cong :premises (@p203 @p202 @p201 @p196 @p195) :args (@t107))
% 109.43/109.61  (step @p205 :rule cong :premises (@p204 @p190) :args (@t108))
% 109.43/109.61  (step @p206 :rule cong :premises (@p205) :args (@t110))
% 109.43/109.61  (step @p207 :rule trans :premises (@p206 @p83))
% 109.43/109.61  (step @p208 :rule cong :premises (@p207) :args (@t111))
% 109.43/109.61  (step @p209 :rule eq_resolve :premises (@p41 @p208))
% 109.43/109.61  (step @p210 :rule refl :args (@t234))
% 109.43/109.61  (step @p211 :rule bool-double-not-elim :args (@t194))
% 109.43/109.61  (step @p212 :rule nary_cong :premises (@p211 @p210) :args ((or (not @t235) @t234)))
% 109.43/109.61  (step @p213 :rule refl :args (@t204))
% 109.43/109.61  (step @p214 :rule refl :args (@t214))
% 109.43/109.61  (step @p215 :rule refl :args (@t215))
% 109.43/109.61  (step @p216 :rule refl :args (@t216))
% 109.43/109.61  (step @p217 :rule arith_poly_norm :args ((= (* -1 (- 1 @t238)) (* -1 (- @t237 0)))))
% 109.43/109.61  (step @p218 :rule arith_poly_norm_rel :premises (@p217) :args ((= (>= 1 @t238) (>= @t237 0))))
% 109.43/109.61  (step @p219 :rule arith-geq-tighten :args (@t219 1))
% 109.43/109.61  (step @p220 :rule trans :premises (@p219 @p218))
% 109.43/109.61  (step @p221 :rule symm :premises (@p220))
% 109.43/109.61  (step @p222 :rule refl :args (0))
% 109.43/109.61  (step @p223 :rule arith_poly_norm :args ((= @t239 @t237)))
% 109.43/109.61  (step @p224 :rule cong :premises (@p223 @p222) :args (@t240))
% 109.43/109.61  (step @p225 :rule trans :premises (@p224 @p221))
% 109.43/109.61  (step @p226 :rule arith_poly_norm :args ((= (* -1 (- 1 @t242)) (* -1 (- @t241 0)))))
% 109.43/109.61  (step @p227 :rule arith_poly_norm_rel :premises (@p226) :args ((= (>= 1 @t242) (>= @t241 0))))
% 109.43/109.61  (step @p228 :rule arith-geq-tighten :args (@t223 1))
% 109.43/109.61  (step @p229 :rule trans :premises (@p228 @p227))
% 109.43/109.61  (step @p230 :rule symm :premises (@p229))
% 109.43/109.61  (step @p231 :rule arith_poly_norm :args ((= @t243 @t241)))
% 109.43/109.61  (step @p232 :rule cong :premises (@p231 @p222) :args (@t244))
% 109.43/109.61  (step @p233 :rule trans :premises (@p232 @p230))
% 109.43/109.61  (step @p234 :rule refl :args (@t227))
% 109.43/109.61  (step @p235 :rule arith_poly_norm :args ((= (* -1 (- 1 @t246)) (* -1 (- @t245 0)))))
% 109.43/109.61  (step @p236 :rule arith_poly_norm_rel :premises (@p235) :args ((= (>= 1 @t246) (>= @t245 0))))
% 109.43/109.61  (step @p237 :rule arith-geq-tighten :args (@t228 1))
% 109.43/109.61  (step @p238 :rule trans :premises (@p237 @p236))
% 109.43/109.61  (step @p239 :rule symm :premises (@p238))
% 109.43/109.61  (step @p240 :rule arith_poly_norm :args ((= @t247 @t245)))
% 109.43/109.61  (step @p241 :rule cong :premises (@p240 @p222) :args (@t248))
% 109.43/109.61  (step @p242 :rule trans :premises (@p241 @p239))
% 109.43/109.61  (step @p243 :rule refl :args (@t229))
% 109.43/109.61  (step @p244 :rule arith_poly_norm :args ((= (* -1 (- 1 @t250)) (* -1 (- @t249 0)))))
% 109.43/109.61  (step @p245 :rule arith_poly_norm_rel :premises (@p244) :args ((= (>= 1 @t250) (>= @t249 0))))
% 109.43/109.61  (step @p246 :rule arith-geq-tighten :args (@t230 1))
% 109.43/109.61  (step @p247 :rule trans :premises (@p246 @p245))
% 109.43/109.61  (step @p248 :rule symm :premises (@p247))
% 109.43/109.61  (step @p249 :rule arith_poly_norm :args ((= @t251 @t249)))
% 109.43/109.61  (step @p250 :rule cong :premises (@p249 @p222) :args (@t252))
% 109.43/109.61  (step @p251 :rule trans :premises (@p250 @p248))
% 109.43/109.61  (step @p252 :rule refl :args (@t231))
% 109.43/109.61  (step @p253 :rule refl :args (@t232))
% 109.43/109.61  (step @p254 :rule nary_cong :premises (@p253 @p252 @p251 @p243 @p242 @p234 @p233 @p225 @p216 @p215 @p214 @p213) :args (@t253))
% 109.43/109.61  (step @p255 :rule cong :premises (@p254) :args (@t254))
% 109.43/109.61  (step @p256 :rule refl :args (@t235))
% 109.43/109.61  (step @p257 :rule cong :premises (@p256 @p255) :args ((=> @t235 @t254)))
% 109.43/109.61  (assume-push @p1002 @t235)
% 109.43/109.61  (step @p259 :rule skolemize :premises (@p209))
% 109.43/109.61  (step-pop @p1003 :rule scope :premises (@p259))
% 109.43/109.61  (step @p260 :rule process_scope :premises (@p1003) :args (@t254))
% 109.43/109.61  (step @p262 :rule eq_resolve :premises (@p260 @p257))
% 109.43/109.61  (step @p263 :rule implies_elim :premises (@p262))
% 109.43/109.61  (step @p264 :rule eq_resolve :premises (@p263 @p212))
% 109.43/109.61  (step @p265 :rule chain_m_resolution :premises (@p264 @p209) :args (@t234 @t255 (@list @t194)))
% 109.43/109.61  (step @p266 :rule bool-double-not-elim :args (@t213))
% 109.43/109.61  (step @p267 :rule refl :args (@t233))
% 109.43/109.61  (step @p268 :rule nary_cong :premises (@p267 @p266) :args ((or @t233 (not @t214))))
% 109.43/109.61  (step @p269 :rule cnf_or_neg :args (@t233 10))
% 109.43/109.61  (step @p270 :rule eq_resolve :premises (@p269 @p268))
% 109.43/109.61  (step @p271 :rule reordering :premises (@p270) :args ((or @t213 @t233)))
% 109.43/109.61  (step @p272 :rule chain_m_resolution :premises (@p271 @p265) :args (@t213 @t255 @t256))
% 109.43/109.61  (step @p273 :rule eq-symm :args (@t57 @t48))
% 109.43/109.61  (step @p274 :rule cong :premises (@p273) :args (@t58))
% 109.43/109.61  (step @p275 :rule eq_resolve :premises (@p35 @p274))
% 109.43/109.61  (step @p276 :rule instantiate :premises (@p275) :args ((@list @t202)))
% 109.43/109.61  (step @p277 :rule bool-impl-elim :args (@t38 @t257))
% 109.43/109.61  (step @p278 :rule cong :premises (@p277) :args ((forall @t34 (=> @t38 @t257))))
% 109.43/109.61  (step @p279 :rule eq-symm :args (@t37 @t30))
% 109.43/109.61  (step @p280 :rule refl :args (@t38))
% 109.43/109.61  (step @p281 :rule cong :premises (@p280 @p279) :args (@t39))
% 109.43/109.61  (step @p282 :rule cong :premises (@p281) :args (@t40))
% 109.43/109.61  (step @p283 :rule trans :premises (@p282 @p278))
% 109.43/109.61  (step @p284 :rule eq_resolve :premises (@p22 @p283))
% 109.43/109.61  (step @p285 :rule instantiate :premises (@p284) :args (@t258))
% 109.43/109.61  (step @p286 :rule instantiate :premises (@p38) :args ((@list @t199)))
% 109.43/109.61  (step @p287 :rule cnf_or_pos :args (@t263))
% 109.43/109.61  (step @p288 :rule reordering :premises (@p287) :args ((or @t262 @t260 (not @t263))))
% 109.43/109.61  (step @p289 :rule chain_m_resolution :premises (@p288 @p286 @p285) :args (@t260 @t264 (@list @t261 @t263)))
% 109.43/109.61  (step @p290 :rule aci_norm :args ((= (or (or @t268 @t266) @t61) @t269)))
% 109.43/109.61  (step @p291 :rule refl :args (@t61))
% 109.43/109.61  (step @p292 :rule bool-double-not-elim :args (@t266))
% 109.43/109.61  (step @p293 :rule refl :args (@t268))
% 109.43/109.61  (step @p294 :rule nary_cong :premises (@p293 @p292) :args ((or @t268 (not @t270))))
% 109.43/109.61  (step @p295 :rule bool-and-de-morgan :args (@t267 @t270 true))
% 109.43/109.61  (step @p296 :rule trans :premises (@p295 @p294))
% 109.43/109.61  (step @p297 :rule nary_cong :premises (@p296 @p291) :args ((or (not @t271) @t61)))
% 109.43/109.61  (step @p298 :rule trans :premises (@p297 @p290))
% 109.43/109.61  (step @p299 :rule bool-impl-elim :args (@t271 @t61))
% 109.43/109.61  (step @p300 :rule trans :premises (@p299 @p298))
% 109.43/109.61  (step @p301 :rule cong :premises (@p300) :args ((forall @t46 (=> @t271 @t61))))
% 109.43/109.61  (step @p302 :rule refl :args (@t61))
% 109.43/109.61  (step @p303 :rule arith_poly_norm :args ((= (* 1 (- @t42 @t62)) (* 1 (- @t265 0)))))
% 109.43/109.61  (step @p304 :rule arith_poly_norm_rel :premises (@p303) :args ((= @t272 @t266)))
% 109.43/109.61  (step @p305 :rule cong :premises (@p304) :args ((not @t272)))
% 109.43/109.61  (step @p306 :rule arith-elim-lt :args (@t42 @t62))
% 109.43/109.61  (step @p307 :rule trans :premises (@p306 @p305))
% 109.43/109.61  (step @p308 :rule arith-elim-leq :args (0 @t42))
% 109.43/109.61  (step @p309 :rule nary_cong :premises (@p308 @p307) :args (@t65))
% 109.43/109.61  (step @p310 :rule cong :premises (@p309 @p302) :args (@t66))
% 109.43/109.61  (step @p311 :rule cong :premises (@p310) :args (@t67))
% 109.43/109.61  (step @p312 :rule trans :premises (@p311 @p301))
% 109.43/109.61  (step @p313 :rule arith_poly_norm :args ((= (* -1 (- @t69 @t275)) (* -1 (- @t274 1)))))
% 109.43/109.61  (step @p314 :rule arith_poly_norm_rel :premises (@p313) :args ((= @t277 @t276)))
% 109.43/109.61  (step @p315 :rule cong :premises (@p314) :args ((not @t277)))
% 109.43/109.61  (step @p316 :rule arith-leq-norm :args (@t69 @t68))
% 109.43/109.61  (step @p317 :rule trans :premises (@p316 @p315))
% 109.43/109.61  (step @p318 :rule arith_poly_norm :args ((= (* -1 (- @t70 @t275)) (* -1 (- @t278 1)))))
% 109.43/109.61  (step @p319 :rule arith_poly_norm_rel :premises (@p318) :args ((= @t280 @t279)))
% 109.43/109.61  (step @p320 :rule cong :premises (@p319) :args ((not @t280)))
% 109.43/109.61  (step @p321 :rule arith-leq-norm :args (@t70 @t68))
% 109.43/109.61  (step @p322 :rule trans :premises (@p321 @p320))
% 109.43/109.61  (step @p323 :rule arith-elim-leq :args (0 @t62))
% 109.43/109.61  (step @p324 :rule nary_cong :premises (@p323 @p322 @p317 @p312) :args (@t71))
% 109.43/109.61  (step @p325 :rule refl :args (@t72))
% 109.43/109.61  (step @p326 :rule cong :premises (@p325 @p324) :args (@t73))
% 109.43/109.61  (step @p327 :rule cong :premises (@p326) :args (@t75))
% 109.43/109.61  (step @p328 :rule eq_resolve :premises (@p36 @p327))
% 109.43/109.61  (step @p329 :rule arith_poly_norm :args ((= @t282 @t281)))
% 109.43/109.61  (step @p330 :rule refl :args (@t283))
% 109.43/109.61  (step @p331 :rule refl :args (tptp.int))
% 109.43/109.61  (step @p332 :rule cong :premises (@p331 @p330 @p329) :args (@t284))
% 109.43/109.61  (step @p333 :rule cong :premises (@p332) :args (@t285))
% 109.43/109.61  (step @p334 :rule arith_poly_norm :args ((= @t287 @t286)))
% 109.43/109.61  (step @p335 :rule cong :premises (@p331 @p330 @p334) :args (@t288))
% 109.43/109.61  (step @p336 :rule cong :premises (@p335) :args (@t289))
% 109.43/109.61  (step @p337 :rule cong :premises (@p336 @p333) :args (@t290))
% 109.43/109.61  (step @p338 :rule refl :args (@t292))
% 109.43/109.61  (step @p339 :rule refl :args (@t268))
% 109.43/109.61  (step @p340 :rule nary_cong :premises (@p339 @p338 @p337) :args (@t293))
% 109.43/109.61  (step @p341 :rule cong :premises (@p340) :args (@t294))
% 109.43/109.61  (step @p342 :rule refl :args (@t298))
% 109.43/109.61  (step @p343 :rule refl :args (@t300))
% 109.43/109.61  (step @p344 :rule refl :args (@t301))
% 109.43/109.61  (step @p345 :rule nary_cong :premises (@p344 @p343 @p342 @p341) :args (@t302))
% 109.43/109.61  (step @p346 :rule refl :args (@t226))
% 109.43/109.61  (step @p347 :rule cong :premises (@p346 @p345) :args (@t303))
% 109.43/109.61  (step @p348 :rule refl :args (@t304))
% 109.43/109.61  (step @p349 :rule cong :premises (@p348 @p347) :args ((=> @t304 @t303)))
% 109.43/109.61  (assume-push @p1004 @t304)
% 109.43/109.61  (step @p351 :rule instantiate :premises (@p328) :args ((@list @t203 @t198 @t197 @t195)))
% 109.43/109.61  (step-pop @p1005 :rule scope :premises (@p351))
% 109.43/109.61  (step @p352 :rule process_scope :premises (@p1005) :args (@t303))
% 109.43/109.61  (step @p354 :rule eq_resolve :premises (@p352 @p349))
% 109.43/109.61  (step @p355 :rule implies_elim :premises (@p354))
% 109.43/109.61  (step @p356 :rule chain_m_resolution :premises (@p355 @p328) :args (@t308 @t309 @t310))
% 109.43/109.61  (step @p357 :rule bool-double-not-elim :args (@t226))
% 109.43/109.61  (step @p358 :rule nary_cong :premises (@p267 @p357) :args ((or @t233 (not @t227))))
% 109.43/109.61  (step @p359 :rule cnf_or_neg :args (@t233 5))
% 109.43/109.61  (step @p360 :rule eq_resolve :premises (@p359 @p358))
% 109.43/109.61  (step @p361 :rule reordering :premises (@p360) :args ((or @t226 @t233)))
% 109.43/109.61  (step @p362 :rule chain_m_resolution :premises (@p361 @p265) :args (@t226 @t255 @t256))
% 109.43/109.61  (step @p363 :rule cnf_equiv_pos1 :args (@t308))
% 109.43/109.61  (step @p364 :rule reordering :premises (@p363) :args ((or @t227 @t307 (not @t308))))
% 109.43/109.61  (step @p365 :rule chain_m_resolution :premises (@p364 @p362 @p356) :args (@t307 @t264 (@list @t226 @t308)))
% 109.43/109.61  (step @p366 :rule cnf_and_pos :args (@t307 0))
% 109.43/109.61  (step @p367 :rule reordering :premises (@p366) :args ((or @t301 @t311)))
% 109.43/109.61  (step @p368 :rule chain_m_resolution :premises (@p367 @p365) :args (@t301 @t309 @t312))
% 109.43/109.61  (assume-push @p1006 @t301)
% 109.43/109.61  (assume-push @p1007 @t301)
% 109.43/109.61  (step @p371 :rule bool-double-not-elim :args (@t313))
% 109.43/109.61  (step @p372 :rule arith-elim-lt :args (@t195 -1))
% 109.43/109.61  (step @p373 :rule cong :premises (@p372) :args ((not @t314)))
% 109.43/109.61  (step @p374 :rule trans :premises (@p373 @p371))
% 109.43/109.61  (assume-push @p1008 @t314)
% 109.43/109.61  (step @p376 :rule evaluate :args ((>= 0 -1)))
% 109.43/109.61  (step @p377 :rule evaluate :args ((+ -1 0)))
% 109.43/109.61  (step @p378 :rule evaluate :args (@t315))
% 109.43/109.61  (step @p379 :rule refl :args (-1))
% 109.43/109.61  (step @p380 :rule nary_cong :premises (@p379 @p378) :args (@t316))
% 109.43/109.61  (step @p381 :rule trans :premises (@p380 @p377))
% 109.43/109.61  (step @p382 :rule arith_poly_norm :args ((= @t317 0)))
% 109.43/109.61  (step @p383 :rule cong :premises (@p382 @p381) :args (@t318))
% 109.43/109.61  (step @p384 :rule trans :premises (@p383 @p376))
% 109.43/109.61  (step @p385 :rule cong :premises (@p384) :args ((not @t318)))
% 109.43/109.61  (step @p386 :rule trans :premises (@p385 @p132))
% 109.43/109.61  (step @p387 :rule arith-elim-lt :args (@t317 @t316))
% 109.43/109.61  (step @p388 :rule trans :premises (@p387 @p386))
% 109.43/109.61  (step @p389 :rule arith_mult_neg :args (-1 @t301))
% 109.43/109.61  (step @p390 :rule evaluate :args (@t319))
% 109.43/109.61  (step @p391 :rule true_elim :premises (@p390))
% 109.43/109.61  (step @p392 :rule and_intro :premises (@p391 @p368))
% 109.43/109.61  (step @p393 :rule modus_ponens :premises (@p392 @p389))
% 109.43/109.61  (step @p394 :rule arith_sum_ub :premises (@p1008 @p393))
% 109.43/109.61  (step @p395 false :rule eq_resolve :premises (@p394 @p388))
% 109.43/109.61  (step-pop @p1009 :rule scope :premises (@p395))
% 109.43/109.61  (step @p396 :rule process_scope :premises (@p1009) :args (false))
% 109.43/109.61  (step @p398 :rule eq_resolve :premises (@p396 @p374))
% 109.43/109.61  (step-pop @p1010 :rule scope :premises (@p398))
% 109.43/109.61  (step @p399 :rule process_scope :premises (@p1010) :args (@t313))
% 109.43/109.61  (step @p401 :rule modus_ponens :premises (@p368 @p399))
% 109.43/109.61  (step-pop @p1011 :rule scope :premises (@p401))
% 109.43/109.61  (step @p402 :rule process_scope :premises (@p1011) :args (@t313))
% 109.43/109.61  (step @p404 :rule implies_elim :premises (@p402))
% 109.43/109.61  (step @p405 :rule reordering :premises (@p404) :args ((or @t313 (not @t301))))
% 109.43/109.61  (step @p406 :rule chain_m_resolution :premises (@p405 @p368) :args (@t313 @t309 (@list @t301)))
% 109.43/109.61  (step @p407 :rule arith_poly_norm :args ((= (* -1 (- @t320 0)) (* -1 (- @t291 1)))))
% 109.43/109.61  (step @p408 :rule arith_poly_norm_rel :premises (@p407) :args ((= (>= @t320 0) @t321)))
% 109.43/109.61  (step @p409 :rule arith_poly_norm :args ((= (+ @t42 @t322) @t320)))
% 109.43/109.61  (step @p410 :rule arith_poly_norm :args ((= @t323 @t322)))
% 109.43/109.61  (step @p411 :rule refl :args (@t42))
% 109.43/109.61  (step @p412 :rule nary_cong :premises (@p411 @p410) :args (@t324))
% 109.43/109.61  (step @p413 :rule trans :premises (@p412 @p409))
% 109.43/109.61  (step @p414 :rule cong :premises (@p413 @p222) :args (@t325))
% 109.43/109.61  (step @p415 :rule trans :premises (@p414 @p408))
% 109.43/109.61  (step @p416 :rule nary_cong :premises (@p339 @p415 @p337) :args (@t326))
% 109.43/109.61  (step @p417 :rule cong :premises (@p416) :args (@t327))
% 109.43/109.61  (step @p418 :rule arith_poly_norm :args ((= (* 1 (- @t328 1)) (* 1 (- @t297 0)))))
% 109.43/109.61  (step @p419 :rule arith_poly_norm_rel :premises (@p418) :args ((= (>= @t328 1) @t329)))
% 109.43/109.61  (step @p420 :rule refl :args (1))
% 109.43/109.61  (step @p421 :rule arith_poly_norm :args ((= @t330 @t328)))
% 109.43/109.61  (step @p422 :rule arith_poly_norm :args ((= @t331 @t330)))
% 109.43/109.61  (step @p423 :rule trans :premises (@p422 @p421))
% 109.43/109.61  (step @p424 :rule cong :premises (@p423 @p420) :args (@t332))
% 109.43/109.61  (step @p425 :rule trans :premises (@p424 @p419))
% 109.43/109.61  (step @p426 :rule cong :premises (@p425) :args (@t333))
% 109.43/109.61  (step @p427 :rule arith_poly_norm :args ((= (* 1 (- @t334 1)) (* 1 (- @t299 0)))))
% 109.43/109.61  (step @p428 :rule arith_poly_norm_rel :premises (@p427) :args ((= (>= @t334 1) @t335)))
% 109.43/109.61  (step @p429 :rule arith_poly_norm :args ((= @t336 @t334)))
% 109.43/109.61  (step @p430 :rule arith_poly_norm :args ((= @t337 @t336)))
% 109.43/109.61  (step @p431 :rule trans :premises (@p430 @p429))
% 109.43/109.61  (step @p432 :rule cong :premises (@p431 @p420) :args (@t338))
% 109.43/109.61  (step @p433 :rule trans :premises (@p432 @p428))
% 109.43/109.61  (step @p434 :rule cong :premises (@p433) :args (@t339))
% 109.43/109.61  (step @p435 :rule arith_poly_norm :args ((= (* 1 (- @t196 0)) (* 1 (- @t195 -1)))))
% 109.43/109.61  (step @p436 :rule arith_poly_norm_rel :premises (@p435) :args ((= @t340 @t313)))
% 109.43/109.61  (step @p437 :rule nary_cong :premises (@p436 @p434 @p426 @p417) :args (@t341))
% 109.43/109.61  (step @p438 :rule cong :premises (@p213 @p437) :args (@t342))
% 109.43/109.61  (step @p439 :rule cong :premises (@p348 @p438) :args ((=> @t304 @t342)))
% 109.43/109.61  (assume-push @p1012 @t304)
% 109.43/109.61  (step @p441 :rule instantiate :premises (@p328) :args ((@list @t203 @t198 @t197 @t196)))
% 109.43/109.61  (step-pop @p1013 :rule scope :premises (@p441))
% 109.43/109.61  (step @p442 :rule process_scope :premises (@p1013) :args (@t342))
% 109.43/109.61  (step @p444 :rule eq_resolve :premises (@p442 @p439))
% 109.43/109.61  (step @p445 :rule implies_elim :premises (@p444))
% 109.43/109.61  (step @p446 :rule chain_m_resolution :premises (@p445 @p328) :args (@t347 @t309 @t310))
% 109.43/109.61  (step @p447 :rule cnf_or_neg :args (@t233 11))
% 109.43/109.61  (step @p448 :rule chain_m_resolution :premises (@p447 @p265) :args ((not @t204) @t255 @t256))
% 109.43/109.61  (step @p449 :rule cnf_equiv_pos2 :args (@t347))
% 109.43/109.61  (step @p450 :rule reordering :premises (@p449) :args ((or @t204 @t348 (not @t347))))
% 109.43/109.61  (step @p451 :rule chain_m_resolution :premises (@p450 @p448 @p446) :args (@t348 @t349 (@list @t204 @t347)))
% 109.43/109.61  (step @p452 :rule arith_poly_norm :args ((= (* 1 (- @t32 @t29)) (* -1 (- @t29 @t32)))))
% 109.43/109.61  (step @p453 :rule arith_poly_norm_rel :premises (@p452) :args ((= @t33 (= @t29 @t32))))
% 109.43/109.61  (step @p454 :rule cong :premises (@p453) :args (@t35))
% 109.43/109.61  (step @p455 :rule eq_resolve :premises (@p20 @p454))
% 109.43/109.61  (step @p456 :rule instantiate :premises (@p455) :args (@t258))
% 109.43/109.61  (step @p457 :rule bool-double-not-elim :args (@t220))
% 109.43/109.61  (step @p458 :rule nary_cong :premises (@p267 @p457) :args ((or @t233 (not @t221))))
% 109.43/109.61  (step @p459 :rule cnf_or_neg :args (@t233 7))
% 109.43/109.61  (step @p460 :rule eq_resolve :premises (@p459 @p458))
% 109.43/109.61  (step @p461 :rule reordering :premises (@p460) :args ((or @t220 @t233)))
% 109.43/109.61  (step @p462 :rule chain_m_resolution :premises (@p461 @p265) :args (@t220 @t255 @t256))
% 109.43/109.61  (assume-push @p1014 @t329)
% 109.43/109.61  (assume-push @p1015 @t350)
% 109.43/109.61  (assume-push @p1016 @t220)
% 109.43/109.61  (step @p466 :rule arith-elim-lt :args (@t219 1))
% 109.43/109.61  (step @p467 :rule symm :premises (@p466))
% 109.43/109.61  (assume-push @p1017 @t220)
% 109.43/109.61  (step @p469 :rule evaluate :args (@t351))
% 109.43/109.61  (step @p470 :rule evaluate :args (@t352))
% 109.43/109.61  (step @p378 :rule evaluate :args (@t315))
% 109.43/109.61  (step @p471 :rule evaluate :args (@t353))
% 109.43/109.61  (step @p472 :rule nary_cong :premises (@p471 @p222 @p378) :args (@t354))
% 109.43/109.61  (step @p473 :rule trans :premises (@p472 @p470))
% 109.43/109.61  (step @p474 :rule arith_poly_norm :args ((= (+ 0 @t195 @t197 @t217 @t218 0) 0)))
% 109.43/109.61  (step @p475 :rule arith_poly_norm :args (@t356))
% 109.43/109.61  (step @p476 :rule refl :args (@t218))
% 109.43/109.61  (step @p477 :rule refl :args (@t217))
% 109.43/109.61  (step @p478 :rule refl :args (@t197))
% 109.43/109.61  (step @p479 :rule refl :args (@t195))
% 109.43/109.61  (step @p480 :rule arith_poly_norm :args (@t358))
% 109.43/109.61  (step @p481 :rule nary_cong :premises (@p480 @p479 @p478 @p477 @p476 @p475) :args (@t359))
% 109.43/109.61  (step @p482 :rule trans :premises (@p481 @p474))
% 109.43/109.61  (step @p483 :rule arith_poly_norm :args ((= @t361 @t359)))
% 109.43/109.61  (step @p484 :rule trans :premises (@p483 @p482))
% 109.43/109.61  (step @p485 :rule cong :premises (@p484 @p473) :args ((<= @t361 @t354)))
% 109.43/109.61  (step @p486 :rule trans :premises (@p485 @p469))
% 109.43/109.61  (step @p487 :rule arith_mult_neg :args (-1 @t329))
% 109.43/109.61  (step @p390 :rule evaluate :args (@t319))
% 109.43/109.61  (step @p391 :rule true_elim :premises (@p390))
% 109.43/109.61  (step @p488 :rule and_intro :premises (@p391 @p1014))
% 109.43/109.61  (step @p489 :rule modus_ponens :premises (@p488 @p487))
% 109.43/109.61  (step @p490 :rule arith_poly_norm :args (@t362))
% 109.43/109.61  (step @p491 :rule arith_poly_norm_rel :premises (@p490) :args (@t363))
% 109.43/109.61  (step @p492 :rule symm :premises (@p491))
% 109.43/109.61  (step @p493 :rule cong :premises (@p331 @p276) :args (@t364))
% 109.43/109.61  (step @p494 :rule trans :premises (@p456 @p493))
% 109.43/109.61  (step @p495 :rule eq_resolve :premises (@p494 @p492))
% 109.43/109.61  (step @p496 :rule arith_mult_neg :args (-1 @t220))
% 109.43/109.61  (step @p497 :rule and_intro :premises (@p391 @p462))
% 109.43/109.61  (step @p498 :rule modus_ponens :premises (@p497 @p496))
% 109.43/109.61  (step @p499 :rule arith_sum_ub :premises (@p498 @p495 @p489))
% 109.43/109.61  (step @p500 false :rule eq_resolve :premises (@p499 @p486))
% 109.43/109.61  (step-pop @p1018 :rule scope :premises (@p500))
% 109.43/109.61  (step @p501 :rule process_scope :premises (@p1018) :args (false))
% 109.43/109.61  (step @p503 :rule eq_resolve :premises (@p501 @p467))
% 109.43/109.61  (step @p504 :rule eq_resolve :premises (@p503 @p466))
% 109.43/109.61  (step @p505 false :rule contra :premises (@p462 @p504))
% 109.43/109.61  (step-pop @p1019 :rule scope :premises (@p505))
% 109.43/109.61  (step-pop @p1020 :rule scope :premises (@p1019))
% 109.43/109.61  (step-pop @p1021 :rule scope :premises (@p1020))
% 109.43/109.61  (step @p506 :rule process_scope :premises (@p1021) :args (false))
% 109.43/109.61  (assume-push @p1022 @t220)
% 109.43/109.61  (assume-push @p1023 @t365)
% 109.43/109.61  (assume-push @p1024 @t366)
% 109.43/109.61  (assume-push @p1025 @t329)
% 109.43/109.61  (step @p493 :rule cong :premises (@p331 @p276) :args (@t364))
% 109.43/109.61  (step @p514 :rule trans :premises (@p456 @p493))
% 109.43/109.61  (step @p515 :rule and_intro :premises (@p1025 @p514 @p462))
% 109.43/109.61  (step-pop @p1026 :rule scope :premises (@p515))
% 109.43/109.61  (step-pop @p1027 :rule scope :premises (@p1026))
% 109.43/109.61  (step-pop @p1028 :rule scope :premises (@p1027))
% 109.43/109.61  (step-pop @p1029 :rule scope :premises (@p1028))
% 109.43/109.61  (step @p516 :rule process_scope :premises (@p1029) :args (@t367))
% 109.43/109.61  (step @p521 :rule implies_elim :premises (@p516))
% 109.43/109.61  (step @p522 :rule resolution :premises (@p521 @p506) :args (true @t367))
% 109.43/109.61  (step @p523 :rule not_and :premises (@p522))
% 109.43/109.61  (step @p524 :rule chain_m_resolution :premises (@p523 @p462 @p456 @p276) :args (@t344 @t368 (@list @t220 @t365 @t366)))
% 109.43/109.61  (step @p525 :rule bool-double-not-elim :args (@t224))
% 109.43/109.61  (step @p526 :rule nary_cong :premises (@p267 @p525) :args ((or @t233 (not @t225))))
% 109.43/109.61  (step @p527 :rule cnf_or_neg :args (@t233 6))
% 109.43/109.61  (step @p528 :rule eq_resolve :premises (@p527 @p526))
% 109.43/109.61  (step @p529 :rule reordering :premises (@p528) :args ((or @t224 @t233)))
% 109.43/109.61  (step @p530 :rule chain_m_resolution :premises (@p529 @p265) :args (@t224 @t255 @t256))
% 109.43/109.61  (assume-push @p1030 @t335)
% 109.43/109.61  (assume-push @p1031 @t350)
% 109.43/109.61  (assume-push @p1032 @t224)
% 109.43/109.61  (step @p534 :rule arith-elim-lt :args (@t223 1))
% 109.43/109.61  (step @p535 :rule symm :premises (@p534))
% 109.43/109.61  (assume-push @p1033 @t224)
% 109.43/109.61  (step @p469 :rule evaluate :args (@t351))
% 109.43/109.61  (step @p470 :rule evaluate :args (@t352))
% 109.43/109.61  (step @p378 :rule evaluate :args (@t315))
% 109.43/109.61  (step @p471 :rule evaluate :args (@t353))
% 109.43/109.61  (step @p472 :rule nary_cong :premises (@p471 @p222 @p378) :args (@t354))
% 109.43/109.61  (step @p473 :rule trans :premises (@p472 @p470))
% 109.43/109.61  (step @p537 :rule arith_poly_norm :args ((= (+ 0 @t195 @t198 @t217 @t222 0) 0)))
% 109.43/109.61  (step @p475 :rule arith_poly_norm :args (@t356))
% 109.43/109.61  (step @p538 :rule refl :args (@t222))
% 109.43/109.61  (step @p477 :rule refl :args (@t217))
% 109.43/109.61  (step @p539 :rule refl :args (@t198))
% 109.43/109.61  (step @p479 :rule refl :args (@t195))
% 109.43/109.61  (step @p480 :rule arith_poly_norm :args (@t358))
% 109.43/109.61  (step @p540 :rule nary_cong :premises (@p480 @p479 @p539 @p477 @p538 @p475) :args (@t369))
% 109.43/109.61  (step @p541 :rule trans :premises (@p540 @p537))
% 109.43/109.61  (step @p542 :rule arith_poly_norm :args ((= @t370 @t369)))
% 109.43/109.61  (step @p543 :rule trans :premises (@p542 @p541))
% 109.43/109.61  (step @p544 :rule cong :premises (@p543 @p473) :args ((<= @t370 @t354)))
% 109.43/109.61  (step @p545 :rule trans :premises (@p544 @p469))
% 109.43/109.61  (step @p546 :rule arith_mult_neg :args (-1 @t335))
% 109.43/109.61  (step @p390 :rule evaluate :args (@t319))
% 109.43/109.61  (step @p391 :rule true_elim :premises (@p390))
% 109.43/109.61  (step @p547 :rule and_intro :premises (@p391 @p1030))
% 109.43/109.61  (step @p548 :rule modus_ponens :premises (@p547 @p546))
% 109.43/109.61  (step @p490 :rule arith_poly_norm :args (@t362))
% 109.43/109.61  (step @p491 :rule arith_poly_norm_rel :premises (@p490) :args (@t363))
% 109.43/109.61  (step @p549 :rule symm :premises (@p491))
% 109.43/109.61  (step @p493 :rule cong :premises (@p331 @p276) :args (@t364))
% 109.43/109.61  (step @p514 :rule trans :premises (@p456 @p493))
% 109.43/109.61  (step @p550 :rule eq_resolve :premises (@p514 @p549))
% 109.43/109.61  (step @p551 :rule arith_mult_neg :args (-1 @t224))
% 109.43/109.61  (step @p552 :rule and_intro :premises (@p391 @p530))
% 109.43/109.61  (step @p553 :rule modus_ponens :premises (@p552 @p551))
% 109.43/109.61  (step @p554 :rule arith_sum_ub :premises (@p553 @p550 @p548))
% 109.43/109.61  (step @p555 false :rule eq_resolve :premises (@p554 @p545))
% 109.43/109.61  (step-pop @p1034 :rule scope :premises (@p555))
% 109.43/109.61  (step @p556 :rule process_scope :premises (@p1034) :args (false))
% 109.43/109.61  (step @p558 :rule eq_resolve :premises (@p556 @p535))
% 109.43/109.61  (step @p559 :rule eq_resolve :premises (@p558 @p534))
% 109.43/109.61  (step @p560 false :rule contra :premises (@p530 @p559))
% 109.43/109.61  (step-pop @p1035 :rule scope :premises (@p560))
% 109.43/109.61  (step-pop @p1036 :rule scope :premises (@p1035))
% 109.43/109.61  (step-pop @p1037 :rule scope :premises (@p1036))
% 109.43/109.61  (step @p561 :rule process_scope :premises (@p1037) :args (false))
% 109.43/109.61  (assume-push @p1038 @t224)
% 109.43/109.61  (assume-push @p1039 @t365)
% 109.43/109.61  (assume-push @p1040 @t366)
% 109.43/109.61  (assume-push @p1041 @t335)
% 109.43/109.61  (step @p493 :rule cong :premises (@p331 @p276) :args (@t364))
% 109.43/109.61  (step @p514 :rule trans :premises (@p456 @p493))
% 109.43/109.61  (step @p569 :rule and_intro :premises (@p1041 @p514 @p530))
% 109.43/109.61  (step-pop @p1042 :rule scope :premises (@p569))
% 109.43/109.61  (step-pop @p1043 :rule scope :premises (@p1042))
% 109.43/109.61  (step-pop @p1044 :rule scope :premises (@p1043))
% 109.43/109.61  (step-pop @p1045 :rule scope :premises (@p1044))
% 109.43/109.61  (step @p570 :rule process_scope :premises (@p1045) :args (@t371))
% 109.43/109.61  (step @p575 :rule implies_elim :premises (@p570))
% 109.43/109.61  (step @p576 :rule resolution :premises (@p575 @p561) :args (true @t371))
% 109.43/109.61  (step @p577 :rule not_and :premises (@p576))
% 109.43/109.61  (step @p578 :rule chain_m_resolution :premises (@p577 @p530 @p456 @p276) :args (@t345 @t368 (@list @t224 @t365 @t366)))
% 109.43/109.61  (step @p579 :rule refl :args (@t372))
% 109.43/109.61  (step @p580 :rule bool-double-not-elim :args (@t329))
% 109.43/109.61  (step @p581 :rule bool-double-not-elim :args (@t335))
% 109.43/109.61  (step @p582 :rule refl :args (@t373))
% 109.43/109.61  (step @p583 :rule refl :args (@t346))
% 109.43/109.61  (step @p584 :rule nary_cong :premises (@p583 @p582 @p581 @p580 @p579) :args ((or @t346 @t373 (not @t345) (not @t344) @t372)))
% 109.43/109.61  (step @p585 :rule cnf_and_neg :args (@t346))
% 109.43/109.61  (step @p586 :rule eq_resolve :premises (@p585 @p584))
% 109.43/109.61  (step @p587 :rule reordering :premises (@p586) :args ((or @t335 @t329 @t346 @t373 @t372)))
% 109.43/109.61  (step @p588 :rule chain_m_resolution :premises (@p587 @p578 @p524 @p451 @p406) :args (@t372 (@list true true true false) (@list @t335 @t329 @t346 @t313)))
% 109.43/109.61  (step @p589 :rule refl :args (@t388))
% 109.43/109.61  (step @p590 :rule bool-double-not-elim :args (@t343))
% 109.43/109.61  (step @p591 :rule nary_cong :premises (@p590 @p589) :args ((or (not @t372) @t388)))
% 109.43/109.61  (step @p592 :rule arith_poly_norm :args ((= @t389 @t375)))
% 109.43/109.61  (step @p593 :rule cong :premises (@p331 @p330 @p592) :args (@t390))
% 109.43/109.61  (step @p594 :rule cong :premises (@p593) :args (@t391))
% 109.43/109.61  (step @p595 :rule arith_poly_norm :args ((= @t392 @t377)))
% 109.43/109.61  (step @p596 :rule cong :premises (@p331 @p330 @p595) :args (@t393))
% 109.43/109.61  (step @p597 :rule cong :premises (@p596) :args (@t394))
% 109.43/109.61  (step @p598 :rule cong :premises (@p597 @p594) :args (@t395))
% 109.43/109.61  (step @p599 :rule arith_poly_norm :args ((= (* -1 (- 0 @t397)) (* -1 (- @t396 1)))))
% 109.43/109.61  (step @p600 :rule arith_poly_norm_rel :premises (@p599) :args ((= (>= 0 @t397) (>= @t396 1))))
% 109.43/109.61  (step @p601 :rule arith-geq-tighten :args (@t382 0))
% 109.43/109.61  (step @p602 :rule trans :premises (@p601 @p600))
% 109.43/109.61  (step @p603 :rule symm :premises (@p602))
% 109.43/109.61  (step @p604 :rule arith_poly_norm :args ((= @t398 @t396)))
% 109.43/109.61  (step @p605 :rule cong :premises (@p604 @p420) :args (@t399))
% 109.43/109.61  (step @p606 :rule trans :premises (@p605 @p603))
% 109.43/109.61  (step @p607 :rule refl :args (@t386))
% 109.43/109.61  (step @p608 :rule nary_cong :premises (@p607 @p606 @p598) :args (@t400))
% 109.43/109.61  (step @p609 :rule cong :premises (@p608) :args (@t401))
% 109.43/109.61  (step @p610 :rule cong :premises (@p579 @p609) :args ((=> @t372 @t401)))
% 109.43/109.61  (assume-push @p1046 @t372)
% 109.43/109.61  (step @p612 :rule skolemize :premises (@p1046))
% 109.43/109.61  (step-pop @p1047 :rule scope :premises (@p612))
% 109.43/109.61  (step @p613 :rule process_scope :premises (@p1047) :args (@t401))
% 109.43/109.61  (step @p615 :rule eq_resolve :premises (@p613 @p610))
% 109.43/109.61  (step @p616 :rule implies_elim :premises (@p615))
% 109.43/109.61  (step @p617 :rule eq_resolve :premises (@p616 @p591))
% 109.43/109.61  (step @p618 :rule chain_m_resolution :premises (@p617 @p588) :args (@t388 @t255 (@list @t343)))
% 109.43/109.61  (step @p619 :rule bool-double-not-elim :args (@t383))
% 109.43/109.61  (step @p620 :rule refl :args (@t387))
% 109.43/109.61  (step @p621 :rule nary_cong :premises (@p620 @p619) :args ((or @t387 (not @t384))))
% 109.43/109.61  (step @p622 :rule cnf_or_neg :args (@t387 1))
% 109.43/109.61  (step @p623 :rule eq_resolve :premises (@p622 @p621))
% 109.43/109.61  (step @p624 :rule reordering :premises (@p623) :args ((or @t383 @t387)))
% 109.43/109.61  (step @p625 :rule chain_m_resolution :premises (@p624 @p618) :args (@t383 @t255 @t402))
% 109.43/109.61  (step @p626 :rule cnf_and_pos :args (@t307 3))
% 109.43/109.61  (step @p627 :rule reordering :premises (@p626) :args ((or @t306 @t311)))
% 109.43/109.61  (step @p628 :rule chain_m_resolution :premises (@p627 @p365) :args (@t306 @t309 @t312))
% 109.43/109.61  (step @p629 :rule arith_poly_norm :args ((= (* -1 (- 1 @t397)) (* -1 (- @t396 0)))))
% 109.43/109.61  (step @p630 :rule arith_poly_norm_rel :premises (@p629) :args ((= (>= 1 @t397) (>= @t396 0))))
% 109.43/109.61  (step @p631 :rule arith-geq-tighten :args (@t382 1))
% 109.43/109.61  (step @p632 :rule trans :premises (@p631 @p630))
% 109.43/109.61  (step @p633 :rule symm :premises (@p632))
% 109.43/109.61  (step @p634 :rule cong :premises (@p604 @p222) :args (@t403))
% 109.43/109.61  (step @p635 :rule trans :premises (@p634 @p633))
% 109.43/109.61  (step @p636 :rule nary_cong :premises (@p607 @p635 @p598) :args (@t404))
% 109.43/109.61  (step @p637 :rule refl :args (@t306))
% 109.43/109.61  (step @p638 :rule cong :premises (@p637 @p636) :args ((=> @t306 @t404)))
% 109.43/109.61  (assume-push @p1048 @t306)
% 109.43/109.61  (step @p640 :rule instantiate :premises (@p628) :args ((@list @t374)))
% 109.43/109.61  (step-pop @p1049 :rule scope :premises (@p640))
% 109.43/109.61  (step @p641 :rule process_scope :premises (@p1049) :args (@t404))
% 109.43/109.61  (step @p643 :rule eq_resolve :premises (@p641 @p638))
% 109.43/109.61  (step @p644 :rule implies_elim :premises (@p643))
% 109.43/109.61  (step @p645 :rule chain_m_resolution :premises (@p644 @p628) :args (@t407 @t309 (@list @t306)))
% 109.43/109.61  (step @p646 :rule cnf_or_neg :args (@t387 2))
% 109.43/109.61  (step @p647 :rule chain_m_resolution :premises (@p646 @p618) :args (@t408 @t255 @t402))
% 109.43/109.61  (step @p648 :rule bool-double-not-elim :args (@t385))
% 109.43/109.61  (step @p649 :rule nary_cong :premises (@p620 @p648) :args ((or @t387 (not @t386))))
% 109.43/109.61  (step @p650 :rule cnf_or_neg :args (@t387 0))
% 109.43/109.61  (step @p651 :rule eq_resolve :premises (@p650 @p649))
% 109.43/109.61  (step @p652 :rule reordering :premises (@p651) :args ((or @t385 @t387)))
% 109.43/109.61  (step @p653 :rule chain_m_resolution :premises (@p652 @p618) :args (@t385 @t255 @t402))
% 109.43/109.61  (step @p654 :rule cnf_or_pos :args (@t407))
% 109.43/109.61  (step @p655 :rule reordering :premises (@p654) :args ((or @t386 @t380 @t406 (not @t407))))
% 109.43/109.61  (step @p656 :rule chain_m_resolution :premises (@p655 @p653 @p647 @p645) :args (@t406 (@list false true false) (@list @t385 @t380 @t407)))
% 109.43/109.61  (step @p657 :rule refl :args (@t405))
% 109.43/109.61  (step @p658 :rule bool-double-not-elim :args (@t409))
% 109.43/109.61  (step @p659 :rule refl :args (@t384))
% 109.43/109.61  (step @p660 :rule nary_cong :premises (@p659 @p658 @p657) :args ((or @t384 (not @t410) @t405)))
% 109.43/109.61  (assume-push @p1050 @t383)
% 109.43/109.61  (assume-push @p1051 @t410)
% 109.43/109.61  (assume-push @p1052 @t383)
% 109.43/109.61  (assume-push @p1053 @t410)
% 109.43/109.61  (step @p665 :rule arith_poly_norm :args ((= (* 1 (- @t382 0)) @t411)))
% 109.43/109.61  (step @p666 :rule arith_poly_norm_rel :premises (@p665) :args ((= @t412 @t409)))
% 109.43/109.61  (step @p667 :rule cong :premises (@p666) :args ((not @t412)))
% 109.43/109.61  (step @p668 :rule symm :premises (@p667))
% 109.43/109.61  (step @p669 :rule eq_resolve :premises (@p1051 @p668))
% 109.43/109.61  (step @p670 :rule arith_trichotomy :premises (@p1050 @p669))
% 109.43/109.61  (step @p671 :rule int_tight_lb :premises (@p670))
% 109.43/109.61  (step-pop @p1054 :rule scope :premises (@p671))
% 109.43/109.61  (step-pop @p1055 :rule scope :premises (@p1054))
% 109.43/109.61  (step @p672 :rule process_scope :premises (@p1055) :args (@t405))
% 109.43/109.61  (step @p675 :rule and_intro :premises (@p1050 @p1051))
% 109.43/109.61  (step @p676 :rule modus_ponens :premises (@p675 @p672))
% 109.43/109.61  (step-pop @p1056 :rule scope :premises (@p676))
% 109.43/109.61  (step-pop @p1057 :rule scope :premises (@p1056))
% 109.43/109.61  (step @p677 :rule process_scope :premises (@p1057) :args (@t405))
% 109.43/109.61  (step @p680 :rule implies_elim :premises (@p677))
% 109.43/109.61  (step @p681 :rule cnf_and_neg :args (@t413))
% 109.43/109.61  (step @p682 :rule resolution :premises (@p681 @p680) :args (true @t413))
% 109.43/109.61  (step @p683 :rule eq_resolve :premises (@p682 @p660))
% 109.43/109.61  (step @p684 :rule chain_m_resolution :premises (@p683 @p656 @p625) :args (@t409 @t349 (@list @t405 @t383)))
% 109.43/109.61  (step @p685 :rule arith_poly_norm :args ((= (* 1 (- @t44 @t42)) (* -1 (- @t42 @t44)))))
% 109.43/109.61  (step @p686 :rule arith_poly_norm_rel :premises (@p685) :args ((= @t45 @t414)))
% 109.43/109.61  (step @p687 :rule cong :premises (@p686) :args (@t47))
% 109.43/109.61  (step @p688 :rule eq_resolve :premises (@p26 @p687))
% 109.43/109.61  (step @p689 :rule arith_poly_norm :args ((= (* 1 (- @t377 @t416)) @t418)))
% 109.43/109.61  (step @p690 :rule arith_poly_norm_rel :premises (@p689) :args ((= @t420 @t419)))
% 109.43/109.61  (step @p691 :rule refl :args (@t421))
% 109.43/109.61  (step @p692 :rule cong :premises (@p691 @p690) :args ((=> @t421 @t420)))
% 109.43/109.61  (assume-push @p1058 @t421)
% 109.43/109.61  (step @p694 :rule instantiate :premises (@p688) :args ((@list @t377)))
% 109.43/109.61  (step-pop @p1059 :rule scope :premises (@p694))
% 109.43/109.61  (step @p695 :rule process_scope :premises (@p1059) :args (@t420))
% 109.43/109.61  (step @p697 :rule eq_resolve :premises (@p695 @p692))
% 109.43/109.61  (step @p698 :rule implies_elim :premises (@p697))
% 109.43/109.61  (step @p699 :rule chain_m_resolution :premises (@p698 @p688) :args (@t419 @t309 @t422))
% 109.43/109.61  (step @p700 :rule arith_poly_norm :args ((= (* 1 (- @t209 @t423)) @t425)))
% 109.43/109.61  (step @p701 :rule arith_poly_norm_rel :premises (@p700) :args ((= @t427 @t426)))
% 109.43/109.61  (step @p702 :rule cong :premises (@p691 @p701) :args ((=> @t421 @t427)))
% 109.43/109.61  (assume-push @p1060 @t421)
% 109.43/109.61  (step @p704 :rule instantiate :premises (@p688) :args ((@list @t209)))
% 109.43/109.61  (step-pop @p1061 :rule scope :premises (@p704))
% 109.43/109.61  (step @p705 :rule process_scope :premises (@p1061) :args (@t427))
% 109.43/109.61  (step @p707 :rule eq_resolve :premises (@p705 @p702))
% 109.43/109.61  (step @p708 :rule implies_elim :premises (@p707))
% 109.43/109.61  (step @p709 :rule chain_m_resolution :premises (@p708 @p688) :args (@t426 @t309 @t422))
% 109.43/109.61  (step @p710 :rule refl :args (@t431))
% 109.43/109.61  (step @p711 :rule refl :args (@t432))
% 109.43/109.61  (step @p712 :rule refl :args (@t433))
% 109.43/109.61  (step @p713 :rule bool-double-not-elim :args (@t405))
% 109.43/109.61  (step @p714 :rule nary_cong :premises (@p713 @p712 @p711 @p710) :args ((or (not @t406) @t433 @t432 @t431)))
% 109.43/109.61  (assume-push @p1062 @t419)
% 109.43/109.61  (assume-push @p1063 @t426)
% 109.43/109.61  (assume-push @p1064 @t406)
% 109.43/109.61  (assume-push @p1065 @t430)
% 109.43/109.61  (step @p719 :rule arith-elim-lt :args (@t429 1))
% 109.43/109.61  (step @p720 :rule symm :premises (@p719))
% 109.43/109.61  (assume-push @p1066 @t430)
% 109.43/109.61  (step @p722 :rule evaluate :args ((>= 0 0)))
% 109.43/109.61  (step @p723 :rule evaluate :args ((+ -1 1 0 0)))
% 109.43/109.61  (step @p378 :rule evaluate :args (@t315))
% 109.43/109.61  (step @p471 :rule evaluate :args (@t353))
% 109.43/109.61  (step @p724 :rule nary_cong :premises (@p471 @p420 @p378 @p222) :args (@t434))
% 109.43/109.61  (step @p725 :rule trans :premises (@p724 @p723))
% 109.43/109.61  (step @p726 :rule arith_poly_norm :args ((= (+ 0 @t423 @t435 @t381 @t374 0 0) 0)))
% 109.43/109.61  (step @p727 :rule arith_poly_norm :args (@t437))
% 109.43/109.61  (step @p728 :rule arith_poly_norm :args (@t439))
% 109.43/109.61  (step @p729 :rule refl :args (@t374))
% 109.43/109.61  (step @p730 :rule refl :args (@t381))
% 109.43/109.61  (step @p731 :rule refl :args (@t435))
% 109.43/109.61  (step @p732 :rule refl :args (@t423))
% 109.43/109.61  (step @p733 :rule arith_poly_norm :args (@t441))
% 109.43/109.61  (step @p734 :rule nary_cong :premises (@p733 @p732 @p731 @p730 @p729 @p728 @p727) :args (@t442))
% 109.43/109.61  (step @p735 :rule trans :premises (@p734 @p726))
% 109.43/109.61  (step @p736 :rule arith_poly_norm :args ((= @t445 @t442)))
% 109.43/109.61  (step @p737 :rule trans :premises (@p736 @p735))
% 109.43/109.61  (step @p738 :rule cong :premises (@p737 @p725) :args (@t446))
% 109.43/109.61  (step @p739 :rule trans :premises (@p738 @p722))
% 109.43/109.61  (step @p740 :rule cong :premises (@p739) :args ((not @t446)))
% 109.43/109.61  (step @p741 :rule trans :premises (@p740 @p132))
% 109.43/109.61  (step @p742 :rule arith-elim-lt :args (@t445 @t434))
% 109.43/109.61  (step @p743 :rule trans :premises (@p742 @p741))
% 109.43/109.61  (step @p744 :rule arith_poly_norm :args (@t447))
% 109.43/109.61  (step @p745 :rule arith_poly_norm_rel :premises (@p744) :args (@t449))
% 109.43/109.61  (step @p746 :rule symm :premises (@p745))
% 109.43/109.61  (step @p747 :rule eq_resolve :premises (@p699 @p746))
% 109.43/109.61  (step @p748 :rule arith_mult_neg :args (-1 @t450))
% 109.43/109.61  (step @p749 :rule arith_poly_norm :args (@t451))
% 109.43/109.61  (step @p750 :rule arith_poly_norm_rel :premises (@p749) :args (@t452))
% 109.43/109.61  (step @p751 :rule symm :premises (@p750))
% 109.43/109.61  (step @p752 :rule eq_resolve :premises (@p709 @p751))
% 109.43/109.61  (step @p390 :rule evaluate :args (@t319))
% 109.43/109.61  (step @p391 :rule true_elim :premises (@p390))
% 109.43/109.61  (step @p753 :rule and_intro :premises (@p391 @p752))
% 109.43/109.61  (step @p754 :rule modus_ponens :premises (@p753 @p748))
% 109.43/109.61  (step @p755 :rule arith-elim-lt :args (@t382 1))
% 109.43/109.61  (step @p756 :rule symm :premises (@p755))
% 109.43/109.61  (step @p757 :rule eq_resolve :premises (@p1064 @p756))
% 109.43/109.61  (step @p758 :rule arith_mult_neg :args (-1 @t430))
% 109.43/109.61  (step @p759 :rule and_intro :premises (@p391 @p1065))
% 109.43/109.61  (step @p760 :rule modus_ponens :premises (@p759 @p758))
% 109.43/109.61  (step @p761 :rule arith_sum_ub :premises (@p760 @p757 @p754 @p747))
% 109.43/109.61  (step @p762 false :rule eq_resolve :premises (@p761 @p743))
% 109.43/109.61  (step-pop @p1067 :rule scope :premises (@p762))
% 109.43/109.61  (step @p763 :rule process_scope :premises (@p1067) :args (false))
% 109.43/109.61  (step @p765 :rule eq_resolve :premises (@p763 @p720))
% 109.43/109.61  (step @p766 :rule eq_resolve :premises (@p765 @p719))
% 109.43/109.61  (step @p767 false :rule contra :premises (@p1065 @p766))
% 109.43/109.61  (step-pop @p1068 :rule scope :premises (@p767))
% 109.43/109.61  (step-pop @p1069 :rule scope :premises (@p1068))
% 109.43/109.61  (step-pop @p1070 :rule scope :premises (@p1069))
% 109.43/109.61  (step-pop @p1071 :rule scope :premises (@p1070))
% 109.43/109.61  (step @p768 :rule process_scope :premises (@p1071) :args (false))
% 109.43/109.61  (assume-push @p1072 @t406)
% 109.43/109.61  (assume-push @p1073 @t426)
% 109.43/109.61  (assume-push @p1074 @t419)
% 109.43/109.61  (assume-push @p1075 @t430)
% 109.43/109.61  (step @p777 :rule and_intro :premises (@p699 @p709 @p1072 @p1075))
% 109.43/109.61  (step-pop @p1076 :rule scope :premises (@p777))
% 109.43/109.61  (step-pop @p1077 :rule scope :premises (@p1076))
% 109.43/109.61  (step-pop @p1078 :rule scope :premises (@p1077))
% 109.43/109.61  (step-pop @p1079 :rule scope :premises (@p1078))
% 109.43/109.61  (step @p778 :rule process_scope :premises (@p1079) :args (@t453))
% 109.43/109.61  (step @p783 :rule implies_elim :premises (@p778))
% 109.43/109.61  (step @p784 :rule resolution :premises (@p783 @p768) :args (true @t453))
% 109.43/109.61  (step @p785 :rule not_and :premises (@p784))
% 109.43/109.61  (step @p786 :rule eq_resolve :premises (@p785 @p714))
% 109.43/109.61  (step @p787 :rule chain_m_resolution :premises (@p786 @p656 @p709 @p699) :args (@t431 (@list true false false) (@list @t405 @t426 @t419)))
% 109.43/109.61  (step @p788 :rule bool-double-not-elim :args (@t430))
% 109.43/109.61  (step @p789 :rule bool-double-not-elim :args (@t454))
% 109.43/109.61  (step @p790 :rule nary_cong :premises (@p659 @p712 @p711 @p789 @p788) :args ((or @t384 @t433 @t432 (not @t455) (not @t431))))
% 109.43/109.61  (assume-push @p1080 @t419)
% 109.43/109.61  (assume-push @p1081 @t426)
% 109.43/109.61  (assume-push @p1082 @t383)
% 109.43/109.61  (assume-push @p1083 @t455)
% 109.43/109.61  (assume-push @p1084 @t431)
% 109.43/109.61  (step @p796 :rule arith-elim-leq :args (@t429 -1))
% 109.43/109.61  (step @p797 :rule symm :premises (@p796))
% 109.43/109.61  (step @p798 :rule cong :premises (@p797) :args ((not (>= -1 @t429))))
% 109.43/109.61  (step @p799 :rule arith-elim-gt :args (@t429 -1))
% 109.43/109.61  (step @p800 :rule trans :premises (@p799 @p798))
% 109.43/109.61  (step @p801 :rule bool-double-not-elim :args ((>= @t429 0)))
% 109.43/109.61  (step @p802 :rule evaluate :args (@t456))
% 109.43/109.61  (step @p803 :rule refl :args (@t429))
% 109.43/109.61  (step @p804 :rule cong :premises (@p803 @p802) :args (@t457))
% 109.43/109.61  (step @p805 :rule cong :premises (@p804) :args ((not @t457)))
% 109.43/109.61  (step @p806 :rule arith-leq-norm :args (@t429 -1))
% 109.43/109.61  (step @p807 :rule trans :premises (@p806 @p805))
% 109.43/109.61  (step @p808 :rule cong :premises (@p807) :args ((not @t458)))
% 109.43/109.61  (step @p809 :rule trans :premises (@p808 @p801))
% 109.43/109.61  (step @p810 :rule trans :premises (@p800 @p809))
% 109.43/109.61  (step @p811 :rule symm :premises (@p810))
% 109.43/109.61  (step @p812 :rule trans :premises (@p809 @p811))
% 109.43/109.61  (assume-push @p1085 @t458)
% 109.43/109.61  (step @p469 :rule evaluate :args (@t351))
% 109.43/109.61  (step @p814 :rule evaluate :args ((+ -1 0 0 0)))
% 109.43/109.61  (step @p378 :rule evaluate :args (@t315))
% 109.43/109.61  (step @p379 :rule refl :args (-1))
% 109.43/109.61  (step @p815 :rule nary_cong :premises (@p379 @p378 @p222 @p378) :args (@t459))
% 109.43/109.61  (step @p816 :rule trans :premises (@p815 @p814))
% 109.43/109.61  (step @p817 :rule arith_poly_norm :args ((= (+ 0 @t435 @t423 @t374 @t381 0 0) 0)))
% 109.43/109.61  (step @p727 :rule arith_poly_norm :args (@t437))
% 109.43/109.61  (step @p728 :rule arith_poly_norm :args (@t439))
% 109.43/109.61  (step @p730 :rule refl :args (@t381))
% 109.43/109.61  (step @p729 :rule refl :args (@t374))
% 109.43/109.61  (step @p732 :rule refl :args (@t423))
% 109.43/109.61  (step @p731 :rule refl :args (@t435))
% 109.43/109.61  (step @p733 :rule arith_poly_norm :args (@t441))
% 109.43/109.61  (step @p818 :rule nary_cong :premises (@p733 @p731 @p732 @p729 @p730 @p728 @p727) :args (@t460))
% 109.43/109.61  (step @p819 :rule trans :premises (@p818 @p817))
% 109.43/109.61  (step @p820 :rule arith_poly_norm :args ((= @t461 @t460)))
% 109.43/109.61  (step @p821 :rule trans :premises (@p820 @p819))
% 109.43/109.61  (step @p822 :rule cong :premises (@p821 @p816) :args ((<= @t461 @t459)))
% 109.43/109.61  (step @p823 :rule trans :premises (@p822 @p469))
% 109.43/109.61  (step @p824 :rule arith_mult_neg :args (-1 @t448))
% 109.43/109.61  (step @p744 :rule arith_poly_norm :args (@t447))
% 109.43/109.61  (step @p745 :rule arith_poly_norm_rel :premises (@p744) :args (@t449))
% 109.43/109.61  (step @p746 :rule symm :premises (@p745))
% 109.43/109.61  (step @p747 :rule eq_resolve :premises (@p699 @p746))
% 109.43/109.61  (step @p390 :rule evaluate :args (@t319))
% 109.43/109.61  (step @p391 :rule true_elim :premises (@p390))
% 109.43/109.61  (step @p825 :rule and_intro :premises (@p391 @p747))
% 109.43/109.61  (step @p826 :rule modus_ponens :premises (@p825 @p824))
% 109.43/109.61  (step @p749 :rule arith_poly_norm :args (@t451))
% 109.43/109.61  (step @p750 :rule arith_poly_norm_rel :premises (@p749) :args (@t452))
% 109.43/109.61  (step @p751 :rule symm :premises (@p750))
% 109.43/109.61  (step @p752 :rule eq_resolve :premises (@p709 @p751))
% 109.43/109.61  (step @p827 :rule arith_mult_neg :args (-1 @t383))
% 109.43/109.61  (step @p828 :rule and_intro :premises (@p391 @p1082))
% 109.43/109.61  (step @p829 :rule modus_ponens :premises (@p828 @p827))
% 109.43/109.61  (step @p830 :rule arith_sum_ub :premises (@p1085 @p829 @p752 @p826))
% 109.43/109.61  (step @p831 false :rule eq_resolve :premises (@p830 @p823))
% 109.43/109.61  (step-pop @p1086 :rule scope :premises (@p831))
% 109.43/109.61  (step @p832 :rule process_scope :premises (@p1086) :args (false))
% 109.43/109.61  (step @p834 :rule eq_resolve :premises (@p832 @p812))
% 109.43/109.61  (step @p835 :rule eq_resolve :premises (@p834 @p800))
% 109.43/109.61  (step @p719 :rule arith-elim-lt :args (@t429 1))
% 109.43/109.61  (step @p720 :rule symm :premises (@p719))
% 109.43/109.61  (step @p836 :rule eq_resolve :premises (@p1084 @p720))
% 109.43/109.61  (step @p837 :rule int_tight_ub :premises (@p836))
% 109.43/109.61  (step @p838 :rule arith_poly_norm :args ((= (* 1 (- @t429 0)) (* 1 (- @t423 @t416)))))
% 109.43/109.61  (step @p839 :rule arith_poly_norm_rel :premises (@p838) :args ((= @t462 @t454)))
% 109.43/109.61  (step @p840 :rule cong :premises (@p839) :args ((not @t462)))
% 109.43/109.61  (step @p841 :rule symm :premises (@p840))
% 109.43/109.61  (step @p842 :rule eq_resolve :premises (@p1083 @p841))
% 109.43/109.61  (step @p843 :rule arith_trichotomy :premises (@p842 @p837))
% 109.43/109.61  (step @p844 :rule int_tight_ub :premises (@p843))
% 109.43/109.61  (step @p845 false :rule contra :premises (@p844 @p835))
% 109.43/109.61  (step-pop @p1087 :rule scope :premises (@p845))
% 109.43/109.61  (step-pop @p1088 :rule scope :premises (@p1087))
% 109.43/109.61  (step-pop @p1089 :rule scope :premises (@p1088))
% 109.43/109.61  (step-pop @p1090 :rule scope :premises (@p1089))
% 109.43/109.61  (step-pop @p1091 :rule scope :premises (@p1090))
% 109.43/109.61  (step @p846 :rule process_scope :premises (@p1091) :args (false))
% 109.43/109.61  (assume-push @p1092 @t383)
% 109.43/109.61  (assume-push @p1093 @t426)
% 109.43/109.61  (assume-push @p1094 @t419)
% 109.43/109.61  (assume-push @p1095 @t455)
% 109.43/109.61  (assume-push @p1096 @t431)
% 109.43/109.61  (step @p857 :rule and_intro :premises (@p699 @p709 @p1092 @p1095 @p1096))
% 109.43/109.61  (step-pop @p1097 :rule scope :premises (@p857))
% 109.43/109.61  (step-pop @p1098 :rule scope :premises (@p1097))
% 109.43/109.61  (step-pop @p1099 :rule scope :premises (@p1098))
% 109.43/109.61  (step-pop @p1100 :rule scope :premises (@p1099))
% 109.43/109.61  (step-pop @p1101 :rule scope :premises (@p1100))
% 109.43/109.61  (step @p858 :rule process_scope :premises (@p1101) :args (@t463))
% 109.43/109.61  (step @p864 :rule implies_elim :premises (@p858))
% 109.43/109.61  (step @p865 :rule resolution :premises (@p864 @p846) :args (true @t463))
% 109.43/109.61  (step @p866 :rule not_and :premises (@p865))
% 109.43/109.61  (step @p867 :rule eq_resolve :premises (@p866 @p790))
% 109.43/109.61  (step @p868 :rule chain_m_resolution :premises (@p867 @p625 @p709 @p699 @p787) :args (@t454 (@list false false false true) (@list @t383 @t426 @t419 @t430)))
% 109.43/109.61  (step @p869 :rule eq-symm :args (@t49 @t48))
% 109.43/109.61  (step @p870 :rule cong :premises (@p869) :args (@t51))
% 109.43/109.61  (step @p871 :rule eq_resolve :premises (@p27 @p870))
% 109.43/109.61  (step @p872 :rule instantiate :premises (@p871) :args ((@list @t415)))
% 109.43/109.61  (step @p873 :rule instantiate :premises (@p871) :args ((@list @t210)))
% 109.43/109.61  (step @p874 :rule instantiate :premises (@p28) :args ((@list tptp.int @t283 @t377)))
% 109.43/109.61  (step @p875 :rule instantiate :premises (@p871) :args ((@list @t211)))
% 109.43/109.61  (step @p876 :rule instantiate :premises (@p871) :args ((@list @t207)))
% 109.43/109.61  (step @p877 :rule refl :args (@t465))
% 109.43/109.61  (step @p878 :rule refl :args (@t455))
% 109.43/109.61  (step @p879 :rule refl :args (@t467))
% 109.43/109.61  (step @p880 :rule refl :args (@t470))
% 109.43/109.61  (step @p881 :rule refl :args (@t473))
% 109.43/109.61  (step @p882 :rule bool-double-not-elim :args (@t380))
% 109.43/109.61  (step @p883 :rule refl :args (@t475))
% 109.43/109.61  (step @p884 :rule refl :args (@t476))
% 109.43/109.61  (step @p885 :rule refl :args (@t479))
% 109.43/109.61  (step @p886 :rule refl :args (@t480))
% 109.43/109.61  (step @p887 :rule nary_cong :premises (@p214 @p886 @p885 @p884 @p883 @p882 @p881 @p880 @p879 @p878 @p877) :args ((or @t214 @t480 @t479 @t476 @t475 (not @t408) @t473 @t470 @t467 @t455 @t465)))
% 109.43/109.61  (assume-push @p1102 @t213)
% 109.43/109.61  (assume-push @p1103 @t260)
% 109.43/109.61  (assume-push @p1104 @t478)
% 109.43/109.61  (assume-push @p1105 @t366)
% 109.43/109.61  (assume-push @p1106 @t474)
% 109.43/109.61  (assume-push @p1107 @t408)
% 109.43/109.61  (assume-push @p1108 @t472)
% 109.43/109.61  (assume-push @p1109 @t469)
% 109.43/109.61  (assume-push @p1110 @t466)
% 109.43/109.61  (assume-push @p1111 @t454)
% 109.43/109.61  (assume-push @p1112 @t408)
% 109.43/109.61  (assume-push @p1113 @t481)
% 109.43/109.61  (step @p900 :rule false_intro :premises (@p1107))
% 109.43/109.61  (step @p901 :rule refl :args (@t376))
% 109.43/109.61  (step @p902 :rule cong :premises (@p1113 @p901) :args (@t464))
% 109.43/109.61  (step @p903 :rule trans :premises (@p902 @p900))
% 109.43/109.61  (step @p904 :rule false_elim :premises (@p903))
% 109.43/109.61  (step-pop @p1114 :rule scope :premises (@p904))
% 109.43/109.61  (step-pop @p1115 :rule scope :premises (@p1114))
% 109.43/109.61  (step @p905 :rule process_scope :premises (@p1115) :args (@t465))
% 109.43/109.61  (assume-push @p1116 @t472)
% 109.43/109.61  (assume-push @p1117 @t366)
% 109.43/109.61  (assume-push @p1118 @t260)
% 109.43/109.61  (assume-push @p1119 @t466)
% 109.43/109.61  (assume-push @p1120 @t454)
% 109.43/109.61  (assume-push @p1121 @t469)
% 109.43/109.61  (assume-push @p1122 @t474)
% 109.43/109.61  (assume-push @p1123 @t213)
% 109.43/109.61  (assume-push @p1124 @t478)
% 109.43/109.61  (step @p917 :rule symm :premises (@p874))
% 109.43/109.61  (step @p918 :rule symm :premises (@p872))
% 109.43/109.61  (step @p919 :rule cong :premises (@p1111) :args (@t468))
% 109.43/109.61  (step @p920 :rule trans :premises (@p873 @p919 @p918))
% 109.43/109.61  (step @p921 :rule cong :premises (@p331 @p276) :args (@t259))
% 109.43/109.61  (step @p922 :rule trans :premises (@p289 @p921))
% 109.43/109.61  (step @p923 :rule cong :premises (@p331 @p331 @p922 @p920) :args (@t211))
% 109.43/109.61  (step @p924 :rule symm :premises (@p875))
% 109.43/109.61  (step @p925 :rule symm :premises (@p272))
% 109.43/109.61  (step @p926 :rule cong :premises (@p925) :args (@t477))
% 109.43/109.61  (step @p927 :rule trans :premises (@p876 @p926 @p924 @p923 @p917))
% 109.43/109.61  (step @p928 :rule cong :premises (@p927) :args (@t208))
% 109.43/109.61  (step @p929 :rule trans :premises (@p272 @p928))
% 109.43/109.61  (step-pop @p1125 :rule scope :premises (@p929))
% 109.43/109.61  (step-pop @p1126 :rule scope :premises (@p1125))
% 109.43/109.61  (step-pop @p1127 :rule scope :premises (@p1126))
% 109.43/109.61  (step-pop @p1128 :rule scope :premises (@p1127))
% 109.43/109.61  (step-pop @p1129 :rule scope :premises (@p1128))
% 109.43/109.61  (step-pop @p1130 :rule scope :premises (@p1129))
% 109.43/109.61  (step-pop @p1131 :rule scope :premises (@p1130))
% 109.43/109.61  (step-pop @p1132 :rule scope :premises (@p1131))
% 109.43/109.61  (step-pop @p1133 :rule scope :premises (@p1132))
% 109.43/109.61  (step @p930 :rule process_scope :premises (@p1133) :args (@t481))
% 109.43/109.61  (step @p940 :rule and_intro :premises (@p874 @p276 @p289 @p872 @p1111 @p873 @p875 @p272 @p876))
% 109.43/109.61  (step @p941 :rule modus_ponens :premises (@p940 @p930))
% 109.43/109.61  (step @p942 :rule and_intro :premises (@p1107 @p941))
% 109.43/109.61  (step @p943 :rule modus_ponens :premises (@p942 @p905))
% 109.43/109.61  (step-pop @p1134 :rule scope :premises (@p943))
% 109.43/109.61  (step-pop @p1135 :rule scope :premises (@p1134))
% 109.43/109.61  (step-pop @p1136 :rule scope :premises (@p1135))
% 109.43/109.61  (step-pop @p1137 :rule scope :premises (@p1136))
% 109.43/109.61  (step-pop @p1138 :rule scope :premises (@p1137))
% 109.43/109.61  (step-pop @p1139 :rule scope :premises (@p1138))
% 109.43/109.61  (step-pop @p1140 :rule scope :premises (@p1139))
% 109.43/109.61  (step-pop @p1141 :rule scope :premises (@p1140))
% 109.43/109.61  (step-pop @p1142 :rule scope :premises (@p1141))
% 109.43/109.61  (step-pop @p1143 :rule scope :premises (@p1142))
% 109.43/109.61  (step @p944 :rule process_scope :premises (@p1143) :args (@t465))
% 109.43/109.61  (step @p955 :rule implies_elim :premises (@p944))
% 109.43/109.61  (step @p956 :rule cnf_and_neg :args (@t482))
% 109.43/109.61  (step @p957 :rule resolution :premises (@p956 @p955) :args (true @t482))
% 109.43/109.61  (step @p958 :rule eq_resolve :premises (@p957 @p887))
% 109.43/109.61  (step @p959 :rule reordering :premises (@p958) :args ((or @t214 @t480 @t479 @t476 @t475 @t380 @t465 @t473 @t470 @t467 @t455)))
% 109.43/109.61  (step @p960 :rule chain_m_resolution :premises (@p959 @p272 @p289 @p876 @p276 @p875 @p647 @p874 @p873 @p872 @p868) :args (@t465 (@list false false false false false true false false false false) (@list @t213 @t260 @t478 @t366 @t474 @t380 @t472 @t469 @t466 @t454)))
% 109.43/109.61  (step @p961 :rule instantiate :premises (@p28) :args ((@list tptp.int @t283 @t205)))
% 109.43/109.61  (assume-push @p1144 @t213)
% 109.43/109.61  (assume-push @p1145 @t260)
% 109.43/109.61  (assume-push @p1146 @t366)
% 109.43/109.61  (assume-push @p1147 @t409)
% 109.43/109.61  (assume-push @p1148 @t484)
% 109.43/109.61  (assume-push @p1149 @t485)
% 109.43/109.61  (assume-push @p1150 @t484)
% 109.43/109.61  (assume-push @p1151 @t366)
% 109.43/109.61  (assume-push @p1152 @t260)
% 109.43/109.61  (assume-push @p1153 @t213)
% 109.43/109.61  (step @p972 :rule cong :premises (@p331 @p330 @p1149) :args (@t483))
% 109.43/109.61  (step @p973 :rule symm :premises (@p961))
% 109.43/109.61  (step @p974 :rule refl :args (@t206))
% 109.43/109.61  (step @p921 :rule cong :premises (@p331 @p276) :args (@t259))
% 109.43/109.61  (step @p922 :rule trans :premises (@p289 @p921))
% 109.43/109.61  (step @p975 :rule cong :premises (@p331 @p331 @p922 @p974) :args (@t207))
% 109.43/109.61  (step @p976 :rule trans :premises (@p975 @p973 @p972))
% 109.43/109.61  (step @p977 :rule cong :premises (@p976) :args (@t208))
% 109.43/109.61  (step @p978 :rule trans :premises (@p272 @p977))
% 109.43/109.61  (step-pop @p1154 :rule scope :premises (@p978))
% 109.43/109.61  (step-pop @p1155 :rule scope :premises (@p1154))
% 109.43/109.61  (step-pop @p1156 :rule scope :premises (@p1155))
% 109.43/109.61  (step-pop @p1157 :rule scope :premises (@p1156))
% 109.43/109.61  (step-pop @p1158 :rule scope :premises (@p1157))
% 109.43/109.61  (step @p979 :rule process_scope :premises (@p1158) :args (@t464))
% 109.43/109.61  (step @p985 :rule arith_poly_norm :args ((= (* 1 (- @t205 @t375)) @t411)))
% 109.43/109.61  (step @p986 :rule arith_poly_norm_rel :premises (@p985) :args ((= @t485 @t409)))
% 109.43/109.61  (step @p987 :rule symm :premises (@p986))
% 109.43/109.61  (step @p988 :rule eq_resolve :premises (@p1147 @p987))
% 109.43/109.61  (step @p989 :rule and_intro :premises (@p988 @p961 @p276 @p289 @p272))
% 109.43/109.61  (step @p990 :rule modus_ponens :premises (@p989 @p979))
% 109.43/109.61  (step-pop @p1159 :rule scope :premises (@p990))
% 109.43/109.61  (step-pop @p1160 :rule scope :premises (@p1159))
% 109.43/109.61  (step-pop @p1161 :rule scope :premises (@p1160))
% 109.43/109.61  (step-pop @p1162 :rule scope :premises (@p1161))
% 109.43/109.61  (step-pop @p1163 :rule scope :premises (@p1162))
% 109.43/109.61  (step @p991 :rule process_scope :premises (@p1163) :args (@t464))
% 109.43/109.61  (step @p997 :rule implies_elim :premises (@p991))
% 109.43/109.61  (step @p998 :rule cnf_and_neg :args (@t486))
% 109.43/109.61  (step @p999 :rule resolution :premises (@p998 @p997) :args (true @t486))
% 109.43/109.61  (step @p1000 :rule reordering :premises (@p999) :args ((or @t214 @t480 @t476 @t410 @t464 (not @t484))))
% 109.43/109.61  (step @p1001 false :rule chain_m_resolution :premises (@p1000 @p961 @p960 @p684 @p289 @p276 @p272) :args (false (@list false true false false false false) (@list @t484 @t464 @t409 @t260 @t366 @t213)))
% 109.43/109.61  )
% 109.43/109.61  % SZS output end Proof
% 109.43/109.61  % cvc5 exiting
%------------------------------------------------------------------------------