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%------------------------------------------------------------------------------
% File     : cvc5---1.3.4
% Problem  : DAT042_1 : TPTP v9.2.1. Released v5.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM

% Computer : n018.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 08:14:24 AM UTC 2026

% Result   : Theorem 62.31s 62.58s
% Output   : Proof 62.31s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : DAT042_1 : TPTP v9.2.1. Released v5.0.0.
% 0.12/0.13  % Command  : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.16/0.35  % Computer : n018.cluster.edu
% 0.16/0.35  % Model    : x86_64 x86_64
% 0.16/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.35  % Memory   : 8042.1875MB
% 0.16/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.16/0.35  % CPULimit : 300
% 0.16/0.35  % WCLimit  : 300
% 0.16/0.35  % DateTime : Mon Jun  1 22:27:05 EDT 2026
% 0.16/0.35  % CPUTime  : 
% 0.33/0.50  %----Proving TF0_ARI
% 62.31/62.58  --- Run --finite-model-find --decision=internal at 45...
% 62.31/62.58  --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 60...
% 62.31/62.58  --- Run --no-e-matching --full-saturate-quant at 45...
% 62.31/62.58  % SZS status Theorem
% 62.31/62.58  % SZS output start Proof
% 62.31/62.58  (
% 62.31/62.58  (declare-sort tptp.collection 0)
% 62.31/62.58  (declare-const tptp.count (-> tptp.collection Int))
% 62.31/62.58  (declare-const tptp.remove (-> Int tptp.collection tptp.collection))
% 62.31/62.58  (declare-const tptp.add (-> Int tptp.collection tptp.collection))
% 62.31/62.58  (declare-const tptp.in (-> Int tptp.collection Bool))
% 62.31/62.58  (declare-const tptp.empty tptp.collection)
% 62.31/62.58  (define @t1 () (@var "U" Int))
% 62.31/62.58  (define @t2 () (@var "W" tptp.collection))
% 62.31/62.58  (define @t3 () (@var "V" Int))
% 62.31/62.58  (define @t4 () (@var "Y" tptp.collection))
% 62.31/62.58  (define @t5 () (@var "X" Int))
% 62.31/62.58  (define @t6 () (@var "X1" tptp.collection))
% 62.31/62.58  (define @t7 () (@var "X2" Int))
% 62.31/62.58  (define @t8 () (@var "Z" Int))
% 62.31/62.58  (define @t9 () (forall (@list @t8 @t6 @t7) (= (or (tptp.in @t8 @t6) (= @t8 @t7)) (tptp.in @t8 (tptp.add @t7 @t6)))))
% 62.31/62.58  (define @t10 () (@var "X4" tptp.collection))
% 62.31/62.58  (define @t11 () (@var "X5" Int))
% 62.31/62.58  (define @t12 () (@var "X3" Int))
% 62.31/62.58  (define @t13 () (forall (@list @t12 @t10 @t11) (= (and (tptp.in @t12 @t10) (not (= @t12 @t11))) (tptp.in @t12 (tptp.remove @t11 @t10)))))
% 62.31/62.58  (define @t14 () (@var "X6" tptp.collection))
% 62.31/62.58  (define @t15 () (@var "X7" tptp.collection))
% 62.31/62.58  (define @t16 () (= (tptp.count @t15) 0))
% 62.31/62.58  (define @t17 () (= (= @t15 tptp.empty) @t16))
% 62.31/62.58  (define @t18 () (@list @t15))
% 62.31/62.58  (define @t19 () (forall @t18 @t17))
% 62.31/62.58  (define @t20 () (@var "X9" tptp.collection))
% 62.31/62.58  (define @t21 () (tptp.count @t20))
% 62.31/62.58  (define @t22 () (+ @t21 1))
% 62.31/62.58  (define @t23 () (@var "X8" Int))
% 62.31/62.58  (define @t24 () (tptp.count (tptp.add @t23 @t20)))
% 62.31/62.58  (define @t25 () (= @t24 @t22))
% 62.31/62.58  (define @t26 () (not (tptp.in @t23 @t20)))
% 62.31/62.58  (define @t27 () (= @t26 @t25))
% 62.31/62.58  (define @t28 () (@list @t23 @t20))
% 62.31/62.58  (define @t29 () (forall @t28 @t27))
% 62.31/62.58  (define @t30 () (@var "X11" tptp.collection))
% 62.31/62.58  (define @t31 () (@var "X10" Int))
% 62.31/62.58  (define @t32 () (forall (@list @t31 @t30) (= (tptp.in @t31 @t30) (= (tptp.count (tptp.add @t31 @t30)) (tptp.count @t30)))))
% 62.31/62.58  (define @t33 () (@var "X13" tptp.collection))
% 62.31/62.58  (define @t34 () (tptp.count @t33))
% 62.31/62.58  (define @t35 () (- @t34 1))
% 62.31/62.58  (define @t36 () (@var "X12" Int))
% 62.31/62.58  (define @t37 () (tptp.count (tptp.remove @t36 @t33)))
% 62.31/62.58  (define @t38 () (= @t37 @t35))
% 62.31/62.58  (define @t39 () (tptp.in @t36 @t33))
% 62.31/62.58  (define @t40 () (= @t39 @t38))
% 62.31/62.58  (define @t41 () (@list @t36 @t33))
% 62.31/62.58  (define @t42 () (forall @t41 @t40))
% 62.31/62.58  (define @t43 () (@var "X15" tptp.collection))
% 62.31/62.58  (define @t44 () (@var "X14" Int))
% 62.31/62.58  (define @t45 () (@var "X17" tptp.collection))
% 62.31/62.58  (define @t46 () (@var "X16" Int))
% 62.31/62.58  (define @t47 () (@var "U" tptp.collection))
% 62.31/62.58  (define @t48 () (= (tptp.count @t47) 3))
% 62.31/62.58  (define @t49 () (@list @t47))
% 62.31/62.58  (define @t50 () (exists @t49 @t48))
% 62.31/62.58  (define @t51 () (not @t50))
% 62.31/62.58  (define @t52 () (= tptp.empty @t15))
% 62.31/62.58  (define @t53 () (tptp.count tptp.empty))
% 62.31/62.58  (define @t54 () (= @t53 0))
% 62.31/62.58  (define @t55 () (= @t54 (= tptp.empty tptp.empty)))
% 62.31/62.58  (define @t56 () (forall @t18 (= @t16 @t52)))
% 62.31/62.58  (define @t57 () (@list false))
% 62.31/62.58  (define @t58 () (+ 1 @t21))
% 62.31/62.58  (define @t59 () (tptp.add 0 tptp.empty))
% 62.31/62.58  (define @t60 () (tptp.count @t59))
% 62.31/62.58  (define @t61 () (+ -1 @t60))
% 62.31/62.58  (define @t62 () (- @t53 @t61))
% 62.31/62.58  (define @t63 () (+ 1 @t53))
% 62.31/62.58  (define @t64 () (= @t53 @t61))
% 62.31/62.58  (define @t65 () (= @t60 @t63))
% 62.31/62.58  (define @t66 () (tptp.in 0 tptp.empty))
% 62.31/62.58  (define @t67 () (not @t66))
% 62.31/62.58  (define @t68 () (= @t67 @t65))
% 62.31/62.58  (define @t69 () (forall @t28 (= @t26 (= @t24 @t58))))
% 62.31/62.58  (define @t70 () (@list 0 tptp.empty))
% 62.31/62.58  (define @t71 () (= @t67 @t64))
% 62.31/62.58  (define @t72 () (@list @t69))
% 62.31/62.58  (define @t73 () (not @t71))
% 62.31/62.58  (define @t74 () (not @t67))
% 62.31/62.58  (define @t75 () (@list true false))
% 62.31/62.58  (define @t76 () (tptp.remove @t60 @t59))
% 62.31/62.58  (define @t77 () (@list @t76))
% 62.31/62.58  (define @t78 () (+ -1 @t34))
% 62.31/62.58  (define @t79 () (* -1 1))
% 62.31/62.58  (define @t80 () (+ @t34 @t79))
% 62.31/62.58  (define @t81 () (tptp.count @t76))
% 62.31/62.58  (define @t82 () (+ 1 @t81))
% 62.31/62.58  (define @t83 () (- @t60 @t82))
% 62.31/62.58  (define @t84 () (= @t60 @t82))
% 62.31/62.58  (define @t85 () (= @t81 @t61))
% 62.31/62.58  (define @t86 () (tptp.in @t60 @t59))
% 62.31/62.58  (define @t87 () (= @t86 @t85))
% 62.31/62.58  (define @t88 () (forall @t41 (= @t39 (= @t37 @t78))))
% 62.31/62.58  (define @t89 () (@list @t60 @t59))
% 62.31/62.58  (define @t90 () (= @t86 @t84))
% 62.31/62.58  (define @t91 () (@list @t88))
% 62.31/62.58  (define @t92 () (tptp.add @t60 @t59))
% 62.31/62.58  (define @t93 () (tptp.count @t92))
% 62.31/62.58  (define @t94 () (+ -1 @t93))
% 62.31/62.58  (define @t95 () (- @t60 @t94))
% 62.31/62.58  (define @t96 () (+ 1 @t60))
% 62.31/62.58  (define @t97 () (= @t60 @t94))
% 62.31/62.58  (define @t98 () (= @t93 @t96))
% 62.31/62.58  (define @t99 () (not @t86))
% 62.31/62.58  (define @t100 () (= @t99 @t98))
% 62.31/62.58  (define @t101 () (= @t99 @t97))
% 62.31/62.58  (define @t102 () (* -1 @t60))
% 62.31/62.58  (define @t103 () (+ @t53 @t102))
% 62.31/62.58  (define @t104 () (tptp.add @t103 @t92))
% 62.31/62.58  (define @t105 () (tptp.count @t104))
% 62.31/62.58  (define @t106 () (+ -1 @t105))
% 62.31/62.58  (define @t107 () (- @t93 @t106))
% 62.31/62.58  (define @t108 () (+ 1 @t93))
% 62.31/62.58  (define @t109 () (= @t93 @t106))
% 62.31/62.58  (define @t110 () (= @t105 @t108))
% 62.31/62.58  (define @t111 () (tptp.in @t103 @t92))
% 62.31/62.58  (define @t112 () (not @t111))
% 62.31/62.58  (define @t113 () (= @t112 @t110))
% 62.31/62.58  (define @t114 () (= @t112 @t109))
% 62.31/62.58  (define @t115 () (* 2 @t60))
% 62.31/62.58  (define @t116 () (= @t53 @t115))
% 62.31/62.58  (define @t117 () (tptp.in @t103 @t59))
% 62.31/62.58  (define @t118 () (or @t117 @t116))
% 62.31/62.58  (define @t119 () (* 1 (- @t53 @t115)))
% 62.31/62.58  (define @t120 () (= @t103 @t60))
% 62.31/62.58  (define @t121 () (or @t117 @t120))
% 62.31/62.58  (define @t122 () (= @t121 @t111))
% 62.31/62.58  (define @t123 () (= @t111 @t118))
% 62.31/62.58  (define @t124 () (>= @t103 0))
% 62.31/62.58  (define @t125 () (<= 0 -1))
% 62.31/62.58  (define @t126 () (* -1 0))
% 62.31/62.58  (define @t127 () (+ @t126 -1))
% 62.31/62.58  (define @t128 () (+ 0 0))
% 62.31/62.58  (define @t129 () (* 0 @t53))
% 62.31/62.58  (define @t130 () (* 0 @t60))
% 62.31/62.58  (define @t131 () (= @t130 0))
% 62.31/62.58  (define @t132 () (+ @t130 @t129))
% 62.31/62.58  (define @t133 () (* -1 @t103))
% 62.31/62.58  (define @t134 () (+ @t133 @t103))
% 62.31/62.58  (define @t135 () (= (* 1 (- @t103 -1)) (* 1 @t62)))
% 62.31/62.58  (define @t136 () (= @t103 -1))
% 62.31/62.58  (define @t137 () (= @t136 @t64))
% 62.31/62.58  (define @t138 () (< -1 0))
% 62.31/62.58  (define @t139 () (not @t124))
% 62.31/62.58  (define @t140 () (not @t116))
% 62.31/62.58  (define @t141 () (not @t54))
% 62.31/62.58  (define @t142 () (* -2 @t60))
% 62.31/62.58  (define @t143 () (+ @t53 @t142))
% 62.31/62.58  (define @t144 () (= @t143 0))
% 62.31/62.58  (define @t145 () (not true))
% 62.31/62.58  (define @t146 () (>= 0 0))
% 62.31/62.58  (define @t147 () (* 2 0))
% 62.31/62.58  (define @t148 () (+ @t126 @t147 @t126))
% 62.31/62.58  (define @t149 () (* -1 @t53))
% 62.31/62.58  (define @t150 () (+ (* 2 @t53) @t142))
% 62.31/62.58  (define @t151 () (+ @t149 @t115))
% 62.31/62.58  (define @t152 () (* 2 @t103))
% 62.31/62.58  (define @t153 () (* -1 @t143))
% 62.31/62.58  (define @t154 () (+ @t153 @t152 @t149))
% 62.31/62.58  (define @t155 () (>= @t154 @t148))
% 62.31/62.58  (define @t156 () (@list false true))
% 62.31/62.58  (define @t157 () (tptp.remove @t103 @t59))
% 62.31/62.58  (define @t158 () (tptp.count @t157))
% 62.31/62.58  (define @t159 () (+ 1 @t158))
% 62.31/62.58  (define @t160 () (- @t60 @t159))
% 62.31/62.58  (define @t161 () (= @t60 @t159))
% 62.31/62.58  (define @t162 () (= @t158 @t61))
% 62.31/62.58  (define @t163 () (= @t117 @t162))
% 62.31/62.58  (define @t164 () (= @t117 @t161))
% 62.31/62.58  (define @t165 () (@list @t157))
% 62.31/62.58  (define @t166 () (= @t53 @t60))
% 62.31/62.58  (define @t167 () (not @t166))
% 62.31/62.58  (define @t168 () (tptp.in 0 @t59))
% 62.31/62.58  (define @t169 () (and @t168 @t167))
% 62.31/62.58  (define @t170 () (tptp.in 0 @t157))
% 62.31/62.58  (define @t171 () (* -1 (- @t53 @t60)))
% 62.31/62.58  (define @t172 () (= 0 @t103))
% 62.31/62.58  (define @t173 () (not @t172))
% 62.31/62.58  (define @t174 () (and @t168 @t173))
% 62.31/62.58  (define @t175 () (= @t174 @t170))
% 62.31/62.58  (define @t176 () (= @t170 @t169))
% 62.31/62.58  (define @t177 () (@list @t13))
% 62.31/62.58  (define @t178 () (= @t60 @t53))
% 62.31/62.58  (define @t179 () (= @t66 @t178))
% 62.31/62.58  (define @t180 () (= @t66 @t166))
% 62.31/62.58  (define @t181 () (not @t168))
% 62.31/62.58  (define @t182 () (@list false false))
% 62.31/62.58  (define @t183 () (= tptp.empty @t157))
% 62.31/62.58  (define @t184 () (not @t183))
% 62.31/62.58  (define @t185 () (not @t170))
% 62.31/62.58  (define @t186 () (= true false))
% 62.31/62.58  (define @t187 () (and @t67 @t183 @t170))
% 62.31/62.58  (define @t188 () (= @t158 0))
% 62.31/62.58  (define @t189 () (= @t188 @t183))
% 62.31/62.58  (define @t190 () (not @t188))
% 62.31/62.58  (define @t191 () (* -1 @t158))
% 62.31/62.58  (define @t192 () (+ @t60 @t191))
% 62.31/62.58  (define @t193 () (>= @t192 1))
% 62.31/62.58  (define @t194 () (not @t193))
% 62.31/62.58  (define @t195 () (>= @t158 0))
% 62.31/62.58  (define @t196 () (not @t195))
% 62.31/62.58  (define @t197 () (not @t64))
% 62.31/62.58  (define @t198 () (* -1 -1))
% 62.31/62.58  (define @t199 () (+ @t79 0 @t198 @t79))
% 62.31/62.58  (define @t200 () (+ @t149 @t60))
% 62.31/62.58  (define @t201 () (+ @t102 @t158))
% 62.31/62.58  (define @t202 () (= @t133 @t200))
% 62.31/62.58  (define @t203 () (* -1 @t192))
% 62.31/62.58  (define @t204 () (+ @t203 @t53 @t133 @t191))
% 62.31/62.58  (define @t205 () (not @t161))
% 62.31/62.58  (define @t206 () (= @t192 1))
% 62.31/62.58  (define @t207 () (+ @t79 0))
% 62.31/62.58  (define @t208 () (* 0 @t158))
% 62.31/62.58  (define @t209 () (+ @t208 @t130))
% 62.31/62.58  (define @t210 () (+ @t203 @t192))
% 62.31/62.58  (define @t211 () (not @t117))
% 62.31/62.58  (define @t212 () (not @t118))
% 62.31/62.58  (define @t213 () (not @t114))
% 62.31/62.58  (define @t214 () (>= @t105 3))
% 62.31/62.58  (define @t215 () (not @t109))
% 62.31/62.58  (define @t216 () (not @t97))
% 62.31/62.58  (define @t217 () (not @t214))
% 62.31/62.58  (define @t218 () (+ 3 -1 -1 @t126 -1))
% 62.31/62.58  (define @t219 () (* -1 @t93))
% 62.31/62.58  (define @t220 () (* -1 @t105))
% 62.31/62.58  (define @t221 () (+ @t220 @t105 @t219 @t93 @t149 @t102 @t60 @t53))
% 62.31/62.58  (define @t222 () (+ @t93 @t220))
% 62.31/62.58  (define @t223 () (+ @t60 @t219))
% 62.31/62.58  (define @t224 () (+ @t105 @t223 @t103 @t149 @t222))
% 62.31/62.58  (define @t225 () (>= @t224 @t218))
% 62.31/62.58  (define @t226 () (= (* 1 (- @t222 -1)) (* 1 @t107)))
% 62.31/62.58  (define @t227 () (= @t222 -1))
% 62.31/62.58  (define @t228 () (= @t227 @t109))
% 62.31/62.58  (define @t229 () (= (* 1 (- @t223 -1)) (* 1 @t95)))
% 62.31/62.58  (define @t230 () (= @t223 -1))
% 62.31/62.58  (define @t231 () (= @t230 @t97))
% 62.31/62.58  (define @t232 () (>= @t105 4))
% 62.31/62.58  (define @t233 () (* -1 4))
% 62.31/62.58  (define @t234 () (+ @t233 @t198 @t198 0 @t198))
% 62.31/62.58  (define @t235 () (+ @t219 @t105))
% 62.31/62.58  (define @t236 () (+ @t102 @t93))
% 62.31/62.58  (define @t237 () (* -1 @t222))
% 62.31/62.58  (define @t238 () (* -1 @t223))
% 62.31/62.58  (define @t239 () (+ @t220 @t238 @t133 @t53 @t237))
% 62.31/62.58  (define @t240 () (not @t232))
% 62.31/62.58  (define @t241 () (forall @t49 (not @t48)))
% 62.31/62.58  (define @t242 () (= @t105 3))
% 62.31/62.58  (define @t243 () (not @t242))
% 62.31/62.58  (define @t244 () (+ 3 1))
% 62.31/62.58  (define @t245 () (>= @t105 @t244))
% 62.31/62.58  (define @t246 () (and @t240 @t243 @t214))
% 62.31/62.58  (define @t247 () (not @t101))
% 62.31/62.58  (define @t248 () (= @t60 0))
% 62.31/62.58  (define @t249 () (not @t248))
% 62.31/62.58  (define @t250 () (and @t168 @t249))
% 62.31/62.58  (define @t251 () (tptp.in 0 @t76))
% 62.31/62.58  (define @t252 () (= 0 @t60))
% 62.31/62.58  (define @t253 () (not @t252))
% 62.31/62.58  (define @t254 () (and @t168 @t253))
% 62.31/62.58  (define @t255 () (= @t254 @t251))
% 62.31/62.58  (define @t256 () (= @t251 @t250))
% 62.31/62.58  (define @t257 () (= tptp.empty @t76))
% 62.31/62.58  (define @t258 () (not @t257))
% 62.31/62.58  (define @t259 () (not @t251))
% 62.31/62.58  (define @t260 () (and @t67 @t257 @t251))
% 62.31/62.58  (define @t261 () (= @t81 0))
% 62.31/62.58  (define @t262 () (= @t261 @t257))
% 62.31/62.58  (define @t263 () (not @t261))
% 62.31/62.58  (define @t264 () (>= @t81 0))
% 62.31/62.58  (define @t265 () (not @t264))
% 62.31/62.58  (define @t266 () (not @t84))
% 62.31/62.58  (define @t267 () (>= @t81 1))
% 62.31/62.58  (define @t268 () (+ @t79 @t198 @t79 0))
% 62.31/62.58  (define @t269 () (+ @t102 @t81))
% 62.31/62.58  (define @t270 () (* -1 @t81))
% 62.31/62.58  (define @t271 () (+ @t60 @t270))
% 62.31/62.58  (define @t272 () (* -1 @t271))
% 62.31/62.58  (define @t273 () (+ @t270 @t133 @t272 @t53))
% 62.31/62.58  (define @t274 () (= @t271 1))
% 62.31/62.58  (define @t275 () (and @t54 @t84 @t64 @t264 @t263))
% 62.31/62.58  (assume @p1 (forall (@list @t1) (not (tptp.in @t1 tptp.empty))))
% 62.31/62.58  (assume @p2 (forall (@list @t3 @t2) (tptp.in @t3 (tptp.add @t3 @t2))))
% 62.31/62.58  (assume @p3 (forall (@list @t5 @t4) (not (tptp.in @t5 (tptp.remove @t5 @t4)))))
% 62.31/62.58  (assume @p4 @t9)
% 62.31/62.58  (assume @p5 @t13)
% 62.31/62.58  (assume @p6 (forall (@list @t14) (>= (tptp.count @t14) 0)))
% 62.31/62.58  (assume @p7 @t19)
% 62.31/62.58  (assume @p8 @t29)
% 62.31/62.58  (assume @p9 @t32)
% 62.31/62.58  (assume @p10 @t42)
% 62.31/62.58  (assume @p11 (forall (@list @t44 @t43) (= (not (tptp.in @t44 @t43)) (= (tptp.count (tptp.remove @t44 @t43)) (tptp.count @t43)))))
% 62.31/62.58  (assume @p12 (forall (@list @t46 @t45) (=> (tptp.in @t46 @t45) (= @t45 (tptp.add @t46 (tptp.remove @t46 @t45))))))
% 62.31/62.58  (assume @p13 @t51)
% 62.31/62.58  (assume @p14 true)
% 62.31/62.58  (step @p15 :rule eq-symm :args (@t52 @t16))
% 62.31/62.58  (step @p16 :rule refl :args (@t16))
% 62.31/62.58  (step @p17 :rule eq-symm :args (@t15 tptp.empty))
% 62.31/62.58  (step @p18 :rule cong :premises (@p17 @p16) :args (@t17))
% 62.31/62.58  (step @p19 :rule trans :premises (@p18 @p15))
% 62.31/62.58  (step @p20 :rule cong :premises (@p19) :args (@t19))
% 62.31/62.58  (step @p21 :rule eq_resolve :premises (@p7 @p20))
% 62.31/62.58  (step @p22 :rule bool-eq-true :args (@t54))
% 62.31/62.58  (step @p23 :rule eq-refl :args (tptp.empty))
% 62.31/62.58  (step @p24 :rule refl :args (@t54))
% 62.31/62.58  (step @p25 :rule cong :premises (@p24 @p23) :args (@t55))
% 62.31/62.58  (step @p26 :rule trans :premises (@p25 @p22))
% 62.31/62.58  (step @p27 :rule refl :args (@t56))
% 62.31/62.58  (step @p28 :rule cong :premises (@p27 @p26) :args ((=> @t56 @t55)))
% 62.31/62.58  (assume-push @p710 @t56)
% 62.31/62.58  (step @p30 :rule instantiate :premises (@p21) :args ((@list tptp.empty)))
% 62.31/62.58  (step-pop @p711 :rule scope :premises (@p30))
% 62.31/62.58  (step @p31 :rule process_scope :premises (@p711) :args (@t55))
% 62.31/62.58  (step @p33 :rule eq_resolve :premises (@p31 @p28))
% 62.31/62.58  (step @p34 :rule implies_elim :premises (@p33))
% 62.31/62.58  (step @p35 :rule chain_m_resolution :premises (@p34 @p21) :args (@t54 @t57 (@list @t56)))
% 62.31/62.58  (step @p36 :rule arith_poly_norm :args ((= @t22 @t58)))
% 62.31/62.58  (step @p37 :rule refl :args (@t24))
% 62.31/62.58  (step @p38 :rule cong :premises (@p37 @p36) :args (@t25))
% 62.31/62.58  (step @p39 :rule refl :args (@t26))
% 62.31/62.58  (step @p40 :rule cong :premises (@p39 @p38) :args (@t27))
% 62.31/62.58  (step @p41 :rule cong :premises (@p40) :args (@t29))
% 62.31/62.58  (step @p42 :rule eq_resolve :premises (@p8 @p41))
% 62.31/62.58  (step @p43 :rule arith_poly_norm :args ((= (* 1 (- @t60 @t63)) (* -1 @t62))))
% 62.31/62.58  (step @p44 :rule arith_poly_norm_rel :premises (@p43) :args ((= @t65 @t64)))
% 62.31/62.58  (step @p45 :rule refl :args (@t67))
% 62.31/62.58  (step @p46 :rule cong :premises (@p45 @p44) :args (@t68))
% 62.31/62.58  (step @p47 :rule refl :args (@t69))
% 62.31/62.58  (step @p48 :rule cong :premises (@p47 @p46) :args ((=> @t69 @t68)))
% 62.31/62.58  (assume-push @p712 @t69)
% 62.31/62.58  (step @p50 :rule instantiate :premises (@p42) :args (@t70))
% 62.31/62.58  (step-pop @p713 :rule scope :premises (@p50))
% 62.31/62.58  (step @p51 :rule process_scope :premises (@p713) :args (@t68))
% 62.31/62.58  (step @p53 :rule eq_resolve :premises (@p51 @p48))
% 62.31/62.58  (step @p54 :rule implies_elim :premises (@p53))
% 62.31/62.58  (step @p55 :rule chain_m_resolution :premises (@p54 @p42) :args (@t71 @t57 @t72))
% 62.31/62.58  (step @p56 :rule instantiate :premises (@p1) :args ((@list 0)))
% 62.31/62.58  (step @p57 :rule refl :args (@t64))
% 62.31/62.58  (step @p58 :rule bool-double-not-elim :args (@t66))
% 62.31/62.58  (step @p59 :rule refl :args (@t73))
% 62.31/62.58  (step @p60 :rule nary_cong :premises (@p59 @p58 @p57) :args ((or @t73 @t74 @t64)))
% 62.31/62.58  (step @p61 :rule cnf_equiv_pos1 :args (@t71))
% 62.31/62.58  (step @p62 :rule eq_resolve :premises (@p61 @p60))
% 62.31/62.58  (step @p63 :rule reordering :premises (@p62) :args ((or @t66 @t64 @t73)))
% 62.31/62.58  (step @p64 :rule chain_m_resolution :premises (@p63 @p56 @p55) :args (@t64 @t75 (@list @t66 @t71)))
% 62.31/62.58  (step @p65 :rule instantiate :premises (@p6) :args (@t77))
% 62.31/62.58  (step @p66 :rule arith_poly_norm :args ((= (+ @t34 -1) @t78)))
% 62.31/62.58  (step @p67 :rule evaluate :args (@t79))
% 62.31/62.58  (step @p68 :rule refl :args (@t34))
% 62.31/62.58  (step @p69 :rule nary_cong :premises (@p68 @p67) :args (@t80))
% 62.31/62.58  (step @p70 :rule trans :premises (@p69 @p66))
% 62.31/62.58  (step @p71 :rule arith_poly_norm :args ((= @t35 @t80)))
% 62.31/62.58  (step @p72 :rule trans :premises (@p71 @p70))
% 62.31/62.58  (step @p73 :rule refl :args (@t37))
% 62.31/62.58  (step @p74 :rule cong :premises (@p73 @p72) :args (@t38))
% 62.31/62.58  (step @p75 :rule refl :args (@t39))
% 62.31/62.58  (step @p76 :rule cong :premises (@p75 @p74) :args (@t40))
% 62.31/62.58  (step @p77 :rule cong :premises (@p76) :args (@t42))
% 62.31/62.58  (step @p78 :rule eq_resolve :premises (@p10 @p77))
% 62.31/62.58  (step @p79 :rule arith_poly_norm :args ((= (* -1 (- @t81 @t61)) (* 1 @t83))))
% 62.31/62.58  (step @p80 :rule arith_poly_norm_rel :premises (@p79) :args ((= @t85 @t84)))
% 62.31/62.58  (step @p81 :rule refl :args (@t86))
% 62.31/62.58  (step @p82 :rule cong :premises (@p81 @p80) :args (@t87))
% 62.31/62.58  (step @p83 :rule refl :args (@t88))
% 62.31/62.58  (step @p84 :rule cong :premises (@p83 @p82) :args ((=> @t88 @t87)))
% 62.31/62.58  (assume-push @p714 @t88)
% 62.31/62.58  (step @p86 :rule instantiate :premises (@p78) :args (@t89))
% 62.31/62.58  (step-pop @p715 :rule scope :premises (@p86))
% 62.31/62.58  (step @p87 :rule process_scope :premises (@p715) :args (@t87))
% 62.31/62.58  (step @p89 :rule eq_resolve :premises (@p87 @p84))
% 62.31/62.58  (step @p90 :rule implies_elim :premises (@p89))
% 62.31/62.58  (step @p91 :rule chain_m_resolution :premises (@p90 @p78) :args (@t90 @t57 @t91))
% 62.31/62.58  (step @p92 :rule arith_poly_norm :args ((= (* 1 (- @t93 @t96)) (* -1 @t95))))
% 62.31/62.58  (step @p93 :rule arith_poly_norm_rel :premises (@p92) :args ((= @t98 @t97)))
% 62.31/62.58  (step @p94 :rule refl :args (@t99))
% 62.31/62.58  (step @p95 :rule cong :premises (@p94 @p93) :args (@t100))
% 62.31/62.58  (step @p96 :rule cong :premises (@p47 @p95) :args ((=> @t69 @t100)))
% 62.31/62.58  (assume-push @p716 @t69)
% 62.31/62.58  (step @p98 :rule instantiate :premises (@p42) :args (@t89))
% 62.31/62.58  (step-pop @p717 :rule scope :premises (@p98))
% 62.31/62.58  (step @p99 :rule process_scope :premises (@p717) :args (@t100))
% 62.31/62.58  (step @p101 :rule eq_resolve :premises (@p99 @p96))
% 62.31/62.58  (step @p102 :rule implies_elim :premises (@p101))
% 62.31/62.58  (step @p103 :rule chain_m_resolution :premises (@p102 @p42) :args (@t101 @t57 @t72))
% 62.31/62.58  (step @p104 :rule arith_poly_norm :args ((= (* 1 (- @t105 @t108)) (* -1 @t107))))
% 62.31/62.58  (step @p105 :rule arith_poly_norm_rel :premises (@p104) :args ((= @t110 @t109)))
% 62.31/62.58  (step @p106 :rule refl :args (@t112))
% 62.31/62.58  (step @p107 :rule cong :premises (@p106 @p105) :args (@t113))
% 62.31/62.58  (step @p108 :rule cong :premises (@p47 @p107) :args ((=> @t69 @t113)))
% 62.31/62.58  (assume-push @p718 @t69)
% 62.31/62.58  (step @p110 :rule instantiate :premises (@p42) :args ((@list @t103 @t92)))
% 62.31/62.58  (step-pop @p719 :rule scope :premises (@p110))
% 62.31/62.58  (step @p111 :rule process_scope :premises (@p719) :args (@t113))
% 62.31/62.58  (step @p113 :rule eq_resolve :premises (@p111 @p108))
% 62.31/62.58  (step @p114 :rule implies_elim :premises (@p113))
% 62.31/62.58  (step @p115 :rule chain_m_resolution :premises (@p114 @p42) :args (@t114 @t57 @t72))
% 62.31/62.58  (step @p116 :rule eq-symm :args (@t118 @t111))
% 62.31/62.58  (step @p117 :rule refl :args (@t111))
% 62.31/62.58  (step @p118 :rule arith_poly_norm :args ((= (* 1 (- @t103 @t60)) @t119)))
% 62.31/62.58  (step @p119 :rule arith_poly_norm_rel :premises (@p118) :args ((= @t120 @t116)))
% 62.31/62.58  (step @p120 :rule refl :args (@t117))
% 62.31/62.58  (step @p121 :rule nary_cong :premises (@p120 @p119) :args (@t121))
% 62.31/62.58  (step @p122 :rule cong :premises (@p121 @p117) :args (@t122))
% 62.31/62.58  (step @p123 :rule trans :premises (@p122 @p116))
% 62.31/62.58  (step @p124 :rule refl :args (@t9))
% 62.31/62.58  (step @p125 :rule cong :premises (@p124 @p123) :args ((=> @t9 @t122)))
% 62.31/62.58  (assume-push @p720 @t9)
% 62.31/62.58  (step @p127 :rule instantiate :premises (@p4) :args ((@list @t103 @t59 @t60)))
% 62.31/62.58  (step-pop @p721 :rule scope :premises (@p127))
% 62.31/62.58  (step @p128 :rule process_scope :premises (@p721) :args (@t122))
% 62.31/62.58  (step @p130 :rule eq_resolve :premises (@p128 @p125))
% 62.31/62.58  (step @p131 :rule implies_elim :premises (@p130))
% 62.31/62.58  (step @p132 :rule chain_m_resolution :premises (@p131 @p4) :args (@t123 @t57 (@list @t9)))
% 62.31/62.58  (assume-push @p722 @t64)
% 62.31/62.58  (assume-push @p723 @t64)
% 62.31/62.58  (step @p135 :rule arith-elim-lt :args (@t103 0))
% 62.31/62.58  (step @p136 :rule symm :premises (@p135))
% 62.31/62.58  (assume-push @p724 @t124)
% 62.31/62.58  (step @p138 :rule evaluate :args (@t125))
% 62.31/62.58  (step @p139 :rule evaluate :args ((+ 0 -1)))
% 62.31/62.58  (step @p140 :rule refl :args (-1))
% 62.31/62.58  (step @p141 :rule evaluate :args (@t126))
% 62.31/62.58  (step @p142 :rule nary_cong :premises (@p141 @p140) :args (@t127))
% 62.31/62.58  (step @p143 :rule trans :premises (@p142 @p139))
% 62.31/62.58  (step @p144 :rule evaluate :args (@t128))
% 62.31/62.58  (step @p145 :rule arith_poly_norm :args ((= @t129 0)))
% 62.31/62.58  (step @p146 :rule arith_poly_norm :args (@t131))
% 62.31/62.58  (step @p147 :rule nary_cong :premises (@p146 @p145) :args (@t132))
% 62.31/62.58  (step @p148 :rule trans :premises (@p147 @p144))
% 62.31/62.58  (step @p149 :rule arith_poly_norm :args ((= @t134 @t132)))
% 62.31/62.58  (step @p150 :rule trans :premises (@p149 @p148))
% 62.31/62.58  (step @p151 :rule cong :premises (@p150 @p143) :args ((<= @t134 @t127)))
% 62.31/62.58  (step @p152 :rule trans :premises (@p151 @p138))
% 62.31/62.58  (step @p153 :rule arith_poly_norm :args (@t135))
% 62.31/62.58  (step @p154 :rule arith_poly_norm_rel :premises (@p153) :args (@t137))
% 62.31/62.58  (step @p155 :rule symm :premises (@p154))
% 62.31/62.58  (step @p156 :rule eq_resolve :premises (@p64 @p155))
% 62.31/62.58  (step @p157 :rule arith_mult_neg :args (-1 @t124))
% 62.31/62.58  (step @p158 :rule evaluate :args (@t138))
% 62.31/62.58  (step @p159 :rule true_elim :premises (@p158))
% 62.31/62.58  (step @p160 :rule and_intro :premises (@p159 @p724))
% 62.31/62.58  (step @p161 :rule modus_ponens :premises (@p160 @p157))
% 62.31/62.58  (step @p162 :rule arith_sum_ub :premises (@p161 @p156))
% 62.31/62.58  (step @p163 false :rule eq_resolve :premises (@p162 @p152))
% 62.31/62.58  (step-pop @p725 :rule scope :premises (@p163))
% 62.31/62.58  (step @p164 :rule process_scope :premises (@p725) :args (false))
% 62.31/62.58  (step @p166 :rule eq_resolve :premises (@p164 @p136))
% 62.31/62.58  (step @p167 :rule eq_resolve :premises (@p166 @p135))
% 62.31/62.58  (step-pop @p726 :rule scope :premises (@p167))
% 62.31/62.58  (step @p168 :rule process_scope :premises (@p726) :args (@t139))
% 62.31/62.58  (step @p170 :rule modus_ponens :premises (@p64 @p168))
% 62.31/62.58  (step-pop @p727 :rule scope :premises (@p170))
% 62.31/62.58  (step @p171 :rule process_scope :premises (@p727) :args (@t139))
% 62.31/62.58  (step @p173 :rule implies_elim :premises (@p171))
% 62.31/62.58  (step @p174 :rule chain_m_resolution :premises (@p173 @p64) :args (@t139 @t57 (@list @t64)))
% 62.31/62.58  (step @p175 :rule refl :args (@t140))
% 62.31/62.58  (step @p176 :rule bool-double-not-elim :args (@t124))
% 62.31/62.58  (step @p177 :rule refl :args (@t141))
% 62.31/62.58  (step @p178 :rule nary_cong :premises (@p177 @p176 @p175) :args ((or @t141 (not @t139) @t140)))
% 62.31/62.58  (assume-push @p728 @t54)
% 62.31/62.58  (assume-push @p729 @t139)
% 62.31/62.58  (assume-push @p730 @t116)
% 62.31/62.58  (assume-push @p731 @t144)
% 62.31/62.58  (step @p183 :rule evaluate :args (@t145))
% 62.31/62.58  (step @p184 :rule evaluate :args (@t146))
% 62.31/62.58  (step @p185 :rule evaluate :args ((+ 0 0 0)))
% 62.31/62.58  (step @p141 :rule evaluate :args (@t126))
% 62.31/62.58  (step @p186 :rule evaluate :args (@t147))
% 62.31/62.58  (step @p187 :rule nary_cong :premises (@p141 @p186 @p141) :args (@t148))
% 62.31/62.58  (step @p188 :rule trans :premises (@p187 @p185))
% 62.31/62.58  (step @p189 :rule arith_poly_norm :args ((= (+ @t151 @t150 @t149) 0)))
% 62.31/62.58  (step @p190 :rule refl :args (@t149))
% 62.31/62.58  (step @p191 :rule arith_poly_norm :args ((= @t152 @t150)))
% 62.31/62.58  (step @p192 :rule arith_poly_norm :args ((= @t153 @t151)))
% 62.31/62.58  (step @p193 :rule nary_cong :premises (@p192 @p191 @p190) :args (@t154))
% 62.31/62.58  (step @p194 :rule trans :premises (@p193 @p189))
% 62.31/62.58  (step @p195 :rule cong :premises (@p194 @p188) :args (@t155))
% 62.31/62.58  (step @p196 :rule trans :premises (@p195 @p184))
% 62.31/62.58  (step @p197 :rule cong :premises (@p196) :args ((not @t155)))
% 62.31/62.58  (step @p198 :rule trans :premises (@p197 @p183))
% 62.31/62.58  (step @p199 :rule arith-elim-lt :args (@t154 @t148))
% 62.31/62.58  (step @p200 :rule trans :premises (@p199 @p198))
% 62.31/62.58  (step @p201 :rule arith_mult_neg :args (-1 @t54))
% 62.31/62.58  (step @p158 :rule evaluate :args (@t138))
% 62.31/62.58  (step @p159 :rule true_elim :premises (@p158))
% 62.31/62.58  (step @p202 :rule and_intro :premises (@p159 @p35))
% 62.31/62.58  (step @p203 :rule modus_ponens :premises (@p202 @p201))
% 62.31/62.58  (step @p204 :rule arith_mult_pos :args (2 (< @t103 0)))
% 62.31/62.58  (step @p135 :rule arith-elim-lt :args (@t103 0))
% 62.31/62.58  (step @p136 :rule symm :premises (@p135))
% 62.31/62.58  (step @p205 :rule eq_resolve :premises (@p729 @p136))
% 62.31/62.58  (step @p206 :rule evaluate :args ((> 2 0)))
% 62.31/62.58  (step @p207 :rule true_elim :premises (@p206))
% 62.31/62.58  (step @p208 :rule and_intro :premises (@p207 @p205))
% 62.31/62.58  (step @p209 :rule modus_ponens :premises (@p208 @p204))
% 62.31/62.58  (step @p210 :rule arith_mult_neg :args (-1 @t144))
% 62.31/62.58  (step @p211 :rule and_intro :premises (@p159 @p731))
% 62.31/62.58  (step @p212 :rule modus_ponens :premises (@p211 @p210))
% 62.31/62.58  (step @p213 :rule arith_sum_ub :premises (@p212 @p209 @p203))
% 62.31/62.58  (step @p214 false :rule eq_resolve :premises (@p213 @p200))
% 62.31/62.58  (step-pop @p732 :rule scope :premises (@p214))
% 62.31/62.58  (step @p215 :rule process_scope :premises (@p732) :args (false))
% 62.31/62.58  (step @p217 :rule arith_poly_norm :args ((= (* 1 (- @t143 0)) @t119)))
% 62.31/62.58  (step @p218 :rule arith_poly_norm_rel :premises (@p217) :args ((= @t144 @t116)))
% 62.31/62.58  (step @p219 :rule symm :premises (@p218))
% 62.31/62.58  (step @p220 :rule eq_resolve :premises (@p730 @p219))
% 62.31/62.58  (step @p221 false :rule contra :premises (@p220 @p215))
% 62.31/62.58  (step-pop @p733 :rule scope :premises (@p221))
% 62.31/62.58  (step-pop @p734 :rule scope :premises (@p733))
% 62.31/62.58  (step-pop @p735 :rule scope :premises (@p734))
% 62.31/62.58  (step @p222 :rule process_scope :premises (@p735) :args (false))
% 62.31/62.58  (step @p226 :rule not_and :premises (@p222))
% 62.31/62.58  (step @p227 :rule eq_resolve :premises (@p226 @p178))
% 62.31/62.58  (step @p228 :rule chain_m_resolution :premises (@p227 @p35 @p174) :args (@t140 @t156 (@list @t54 @t124)))
% 62.31/62.58  (step @p229 :rule arith_poly_norm :args ((= (* -1 (- @t158 @t61)) (* 1 @t160))))
% 62.31/62.58  (step @p230 :rule arith_poly_norm_rel :premises (@p229) :args ((= @t162 @t161)))
% 62.31/62.58  (step @p231 :rule cong :premises (@p120 @p230) :args (@t163))
% 62.31/62.58  (step @p232 :rule cong :premises (@p83 @p231) :args ((=> @t88 @t163)))
% 62.31/62.58  (assume-push @p736 @t88)
% 62.31/62.58  (step @p234 :rule instantiate :premises (@p78) :args ((@list @t103 @t59)))
% 62.31/62.58  (step-pop @p737 :rule scope :premises (@p234))
% 62.31/62.58  (step @p235 :rule process_scope :premises (@p737) :args (@t163))
% 62.31/62.58  (step @p237 :rule eq_resolve :premises (@p235 @p232))
% 62.31/62.58  (step @p238 :rule implies_elim :premises (@p237))
% 62.31/62.58  (step @p239 :rule chain_m_resolution :premises (@p238 @p78) :args (@t164 @t57 @t91))
% 62.31/62.58  (step @p240 :rule instantiate :premises (@p6) :args (@t165))
% 62.31/62.58  (step @p241 :rule instantiate :premises (@p21) :args (@t165))
% 62.31/62.58  (step @p242 :rule eq-symm :args (@t169 @t170))
% 62.31/62.58  (step @p243 :rule refl :args (@t170))
% 62.31/62.58  (step @p244 :rule arith_poly_norm :args ((= (* 1 (- 0 @t103)) @t171)))
% 62.31/62.58  (step @p245 :rule arith_poly_norm_rel :premises (@p244) :args ((= @t172 @t166)))
% 62.31/62.58  (step @p246 :rule cong :premises (@p245) :args (@t173))
% 62.31/62.58  (step @p247 :rule refl :args (@t168))
% 62.31/62.58  (step @p248 :rule nary_cong :premises (@p247 @p246) :args (@t174))
% 62.31/62.58  (step @p249 :rule cong :premises (@p248 @p243) :args (@t175))
% 62.31/62.58  (step @p250 :rule trans :premises (@p249 @p242))
% 62.31/62.58  (step @p251 :rule refl :args (@t13))
% 62.31/62.58  (step @p252 :rule cong :premises (@p251 @p250) :args ((=> @t13 @t175)))
% 62.31/62.58  (assume-push @p738 @t13)
% 62.31/62.58  (step @p254 :rule instantiate :premises (@p5) :args ((@list 0 @t59 @t103)))
% 62.31/62.58  (step-pop @p739 :rule scope :premises (@p254))
% 62.31/62.58  (step @p255 :rule process_scope :premises (@p739) :args (@t175))
% 62.31/62.58  (step @p257 :rule eq_resolve :premises (@p255 @p252))
% 62.31/62.58  (step @p258 :rule implies_elim :premises (@p257))
% 62.31/62.58  (step @p259 :rule chain_m_resolution :premises (@p258 @p5) :args (@t176 @t57 @t177))
% 62.31/62.58  (step @p260 :rule instantiate :premises (@p2) :args (@t70))
% 62.31/62.58  (step @p261 :rule arith_poly_norm :args ((= (* 1 (- @t60 @t53)) @t171)))
% 62.31/62.58  (step @p262 :rule arith_poly_norm_rel :premises (@p261) :args ((= @t178 @t166)))
% 62.31/62.58  (step @p263 :rule refl :args (@t66))
% 62.31/62.58  (step @p264 :rule cong :premises (@p263 @p262) :args (@t179))
% 62.31/62.58  (step @p265 :rule refl :args (@t32))
% 62.31/62.58  (step @p266 :rule cong :premises (@p265 @p264) :args ((=> @t32 @t179)))
% 62.31/62.58  (assume-push @p740 @t32)
% 62.31/62.58  (step @p268 :rule instantiate :premises (@p9) :args (@t70))
% 62.31/62.58  (step-pop @p741 :rule scope :premises (@p268))
% 62.31/62.58  (step @p269 :rule process_scope :premises (@p741) :args (@t179))
% 62.31/62.58  (step @p271 :rule eq_resolve :premises (@p269 @p266))
% 62.31/62.58  (step @p272 :rule implies_elim :premises (@p271))
% 62.31/62.58  (step @p273 :rule chain_m_resolution :premises (@p272 @p9) :args (@t180 @t57 (@list @t32)))
% 62.31/62.58  (step @p274 :rule cnf_equiv_pos2 :args (@t180))
% 62.31/62.58  (step @p275 :rule reordering :premises (@p274) :args ((or @t66 @t167 (not @t180))))
% 62.31/62.58  (step @p276 :rule chain_m_resolution :premises (@p275 @p56 @p273) :args (@t167 @t75 (@list @t66 @t180)))
% 62.31/62.58  (step @p277 :rule bool-double-not-elim :args (@t166))
% 62.31/62.58  (step @p278 :rule refl :args (@t181))
% 62.31/62.58  (step @p279 :rule refl :args (@t169))
% 62.31/62.58  (step @p280 :rule nary_cong :premises (@p279 @p278 @p277) :args ((or @t169 @t181 (not @t167))))
% 62.31/62.58  (step @p281 :rule cnf_and_neg :args (@t169))
% 62.31/62.58  (step @p282 :rule eq_resolve :premises (@p281 @p280))
% 62.31/62.58  (step @p283 :rule reordering :premises (@p282) :args ((or @t166 @t181 @t169)))
% 62.31/62.58  (step @p284 :rule chain_m_resolution :premises (@p283 @p276 @p260) :args (@t169 @t75 (@list @t166 @t168)))
% 62.31/62.58  (step @p285 :rule cnf_equiv_pos2 :args (@t176))
% 62.31/62.58  (step @p286 :rule reordering :premises (@p285) :args ((or @t170 (not @t169) (not @t176))))
% 62.31/62.58  (step @p287 :rule chain_m_resolution :premises (@p286 @p284 @p259) :args (@t170 @t182 (@list @t169 @t176)))
% 62.31/62.58  (step @p288 :rule refl :args (@t184))
% 62.31/62.58  (step @p289 :rule refl :args (@t185))
% 62.31/62.58  (step @p290 :rule nary_cong :premises (@p58 @p289 @p288) :args ((or @t74 @t185 @t184)))
% 62.31/62.58  (assume-push @p742 @t67)
% 62.31/62.58  (assume-push @p743 @t183)
% 62.31/62.58  (assume-push @p744 @t170)
% 62.31/62.58  (step @p294 :rule evaluate :args (@t186))
% 62.31/62.58  (step @p295 :rule false_intro :premises (@p56))
% 62.31/62.58  (step @p296 :rule symm :premises (@p743))
% 62.31/62.58  (step @p297 :rule refl :args (0))
% 62.31/62.58  (step @p298 :rule cong :premises (@p297 @p296) :args (@t170))
% 62.31/62.58  (step @p299 :rule true_intro :premises (@p287))
% 62.31/62.58  (step @p300 :rule symm :premises (@p299))
% 62.31/62.58  (step @p301 :rule trans :premises (@p300 @p298 @p295))
% 62.31/62.58  (step @p302 false :rule eq_resolve :premises (@p301 @p294))
% 62.31/62.58  (step-pop @p745 :rule scope :premises (@p302))
% 62.31/62.58  (step-pop @p746 :rule scope :premises (@p745))
% 62.31/62.58  (step-pop @p747 :rule scope :premises (@p746))
% 62.31/62.58  (step @p303 :rule process_scope :premises (@p747) :args (false))
% 62.31/62.58  (assume-push @p748 @t67)
% 62.31/62.58  (assume-push @p749 @t170)
% 62.31/62.58  (assume-push @p750 @t183)
% 62.31/62.58  (step @p310 :rule and_intro :premises (@p56 @p750 @p287))
% 62.31/62.58  (step-pop @p751 :rule scope :premises (@p310))
% 62.31/62.58  (step-pop @p752 :rule scope :premises (@p751))
% 62.31/62.58  (step-pop @p753 :rule scope :premises (@p752))
% 62.31/62.58  (step @p311 :rule process_scope :premises (@p753) :args (@t187))
% 62.31/62.58  (step @p315 :rule implies_elim :premises (@p311))
% 62.31/62.58  (step @p316 :rule resolution :premises (@p315 @p303) :args (true @t187))
% 62.31/62.58  (step @p317 :rule not_and :premises (@p316))
% 62.31/62.58  (step @p318 :rule eq_resolve :premises (@p317 @p290))
% 62.31/62.58  (step @p319 :rule chain_m_resolution :premises (@p318 @p56 @p287) :args (@t184 @t75 (@list @t66 @t170)))
% 62.31/62.58  (step @p320 :rule cnf_equiv_pos1 :args (@t189))
% 62.31/62.58  (step @p321 :rule reordering :premises (@p320) :args ((or @t183 @t190 (not @t189))))
% 62.31/62.58  (step @p322 :rule chain_m_resolution :premises (@p321 @p319 @p241) :args (@t190 @t75 (@list @t183 @t189)))
% 62.31/62.58  (step @p323 :rule refl :args (@t194))
% 62.31/62.58  (step @p324 :rule bool-double-not-elim :args (@t188))
% 62.31/62.58  (step @p325 :rule refl :args (@t196))
% 62.31/62.58  (step @p326 :rule refl :args (@t197))
% 62.31/62.58  (step @p327 :rule nary_cong :premises (@p177 @p326 @p325 @p324 @p323) :args ((or @t141 @t197 @t196 (not @t190) @t194)))
% 62.31/62.58  (assume-push @p754 @t54)
% 62.31/62.58  (assume-push @p755 @t64)
% 62.31/62.58  (assume-push @p756 @t195)
% 62.31/62.58  (assume-push @p757 @t190)
% 62.31/62.58  (assume-push @p758 @t193)
% 62.31/62.58  (step @p138 :rule evaluate :args (@t125))
% 62.31/62.58  (step @p333 :rule evaluate :args ((+ -1 0 1 -1)))
% 62.31/62.58  (step @p334 :rule evaluate :args (@t198))
% 62.31/62.58  (step @p297 :rule refl :args (0))
% 62.31/62.58  (step @p335 :rule nary_cong :premises (@p67 @p297 @p334 @p67) :args (@t199))
% 62.31/62.58  (step @p336 :rule trans :premises (@p335 @p333))
% 62.31/62.58  (step @p337 :rule arith_poly_norm :args ((= (+ @t201 @t53 @t200 @t191) 0)))
% 62.31/62.58  (step @p338 :rule refl :args (@t191))
% 62.31/62.58  (step @p339 :rule arith_poly_norm :args (@t202))
% 62.31/62.58  (step @p340 :rule refl :args (@t53))
% 62.31/62.58  (step @p341 :rule arith_poly_norm :args ((= @t203 @t201)))
% 62.31/62.58  (step @p342 :rule nary_cong :premises (@p341 @p340 @p339 @p338) :args (@t204))
% 62.31/62.58  (step @p343 :rule trans :premises (@p342 @p337))
% 62.31/62.58  (step @p344 :rule cong :premises (@p343 @p336) :args ((<= @t204 @t199)))
% 62.31/62.58  (step @p345 :rule trans :premises (@p344 @p138))
% 62.31/62.58  (step @p346 :rule arith_mult_neg :args (-1 (>= @t158 1)))
% 62.31/62.58  (step @p347 :rule arith_trichotomy :premises (@p240 @p757))
% 62.31/62.58  (step @p348 :rule int_tight_lb :premises (@p347))
% 62.31/62.58  (step @p158 :rule evaluate :args (@t138))
% 62.31/62.58  (step @p159 :rule true_elim :premises (@p158))
% 62.31/62.58  (step @p349 :rule and_intro :premises (@p159 @p348))
% 62.31/62.58  (step @p350 :rule modus_ponens :premises (@p349 @p346))
% 62.31/62.58  (step @p351 :rule arith_mult_neg :args (-1 @t136))
% 62.31/62.58  (step @p153 :rule arith_poly_norm :args (@t135))
% 62.31/62.58  (step @p154 :rule arith_poly_norm_rel :premises (@p153) :args (@t137))
% 62.31/62.58  (step @p155 :rule symm :premises (@p154))
% 62.31/62.58  (step @p156 :rule eq_resolve :premises (@p64 @p155))
% 62.31/62.58  (step @p352 :rule and_intro :premises (@p159 @p156))
% 62.31/62.58  (step @p353 :rule modus_ponens :premises (@p352 @p351))
% 62.31/62.58  (step @p354 :rule arith_mult_neg :args (-1 @t193))
% 62.31/62.58  (step @p355 :rule and_intro :premises (@p159 @p758))
% 62.31/62.58  (step @p356 :rule modus_ponens :premises (@p355 @p354))
% 62.31/62.58  (step @p357 :rule arith_sum_ub :premises (@p356 @p35 @p353 @p350))
% 62.31/62.58  (step @p358 false :rule eq_resolve :premises (@p357 @p345))
% 62.31/62.58  (step-pop @p759 :rule scope :premises (@p358))
% 62.31/62.58  (step-pop @p760 :rule scope :premises (@p759))
% 62.31/62.58  (step-pop @p761 :rule scope :premises (@p760))
% 62.31/62.58  (step-pop @p762 :rule scope :premises (@p761))
% 62.31/62.58  (step-pop @p763 :rule scope :premises (@p762))
% 62.31/62.58  (step @p359 :rule process_scope :premises (@p763) :args (false))
% 62.31/62.58  (step @p365 :rule not_and :premises (@p359))
% 62.31/62.58  (step @p366 :rule eq_resolve :premises (@p365 @p327))
% 62.31/62.58  (step @p367 :rule reordering :premises (@p366) :args ((or @t141 @t197 @t188 @t196 @t194)))
% 62.31/62.58  (step @p368 :rule chain_m_resolution :premises (@p367 @p35 @p64 @p322 @p240) :args (@t194 (@list false false true false) (@list @t54 @t64 @t188 @t195)))
% 62.31/62.58  (step @p369 :rule refl :args (@t205))
% 62.31/62.58  (step @p370 :rule bool-double-not-elim :args (@t193))
% 62.31/62.58  (step @p371 :rule nary_cong :premises (@p370 @p369) :args ((or (not @t194) @t205)))
% 62.31/62.58  (assume-push @p764 @t194)
% 62.31/62.58  (assume-push @p765 @t194)
% 62.31/62.58  (step @p374 :rule arith_poly_norm :args ((= (* -1 (- @t192 1)) (* -1 @t160))))
% 62.31/62.58  (step @p375 :rule arith_poly_norm_rel :premises (@p374) :args ((= @t206 @t161)))
% 62.31/62.58  (step @p376 :rule cong :premises (@p375) :args ((not @t206)))
% 62.31/62.58  (assume-push @p766 @t206)
% 62.31/62.58  (step @p138 :rule evaluate :args (@t125))
% 62.31/62.58  (step @p378 :rule evaluate :args ((+ -1 0)))
% 62.31/62.58  (step @p297 :rule refl :args (0))
% 62.31/62.58  (step @p379 :rule nary_cong :premises (@p67 @p297) :args (@t207))
% 62.31/62.58  (step @p380 :rule trans :premises (@p379 @p378))
% 62.31/62.58  (step @p144 :rule evaluate :args (@t128))
% 62.31/62.58  (step @p146 :rule arith_poly_norm :args (@t131))
% 62.31/62.58  (step @p381 :rule arith_poly_norm :args ((= @t208 0)))
% 62.31/62.58  (step @p382 :rule nary_cong :premises (@p381 @p146) :args (@t209))
% 62.31/62.58  (step @p383 :rule trans :premises (@p382 @p144))
% 62.31/62.58  (step @p384 :rule arith_poly_norm :args ((= @t210 @t209)))
% 62.31/62.58  (step @p385 :rule trans :premises (@p384 @p383))
% 62.31/62.58  (step @p386 :rule cong :premises (@p385 @p380) :args ((<= @t210 @t207)))
% 62.31/62.58  (step @p387 :rule trans :premises (@p386 @p138))
% 62.31/62.58  (step @p388 :rule arith-elim-lt :args (@t192 1))
% 62.31/62.58  (step @p389 :rule symm :premises (@p388))
% 62.31/62.58  (step @p390 :rule eq_resolve :premises (@p764 @p389))
% 62.31/62.58  (step @p391 :rule int_tight_ub :premises (@p390))
% 62.31/62.58  (step @p392 :rule arith_mult_neg :args (-1 @t206))
% 62.31/62.58  (step @p158 :rule evaluate :args (@t138))
% 62.31/62.58  (step @p159 :rule true_elim :premises (@p158))
% 62.31/62.58  (step @p393 :rule and_intro :premises (@p159 @p766))
% 62.31/62.58  (step @p394 :rule modus_ponens :premises (@p393 @p392))
% 62.31/62.58  (step @p395 :rule arith_sum_ub :premises (@p394 @p391))
% 62.31/62.58  (step @p396 false :rule eq_resolve :premises (@p395 @p387))
% 62.31/62.58  (step-pop @p767 :rule scope :premises (@p396))
% 62.31/62.58  (step @p397 :rule process_scope :premises (@p767) :args (false))
% 62.31/62.58  (step @p399 :rule eq_resolve :premises (@p397 @p376))
% 62.31/62.58  (step-pop @p768 :rule scope :premises (@p399))
% 62.31/62.58  (step @p400 :rule process_scope :premises (@p768) :args (@t205))
% 62.31/62.58  (step @p402 :rule modus_ponens :premises (@p764 @p400))
% 62.31/62.58  (step-pop @p769 :rule scope :premises (@p402))
% 62.31/62.58  (step @p403 :rule process_scope :premises (@p769) :args (@t205))
% 62.31/62.58  (step @p405 :rule implies_elim :premises (@p403))
% 62.31/62.58  (step @p406 :rule eq_resolve :premises (@p405 @p371))
% 62.31/62.58  (step @p407 :rule reordering :premises (@p406) :args ((or @t205 @t193)))
% 62.31/62.58  (step @p408 :rule chain_m_resolution :premises (@p407 @p368) :args (@t205 (@list true) (@list @t193)))
% 62.31/62.58  (step @p409 :rule cnf_equiv_pos1 :args (@t164))
% 62.31/62.58  (step @p410 :rule reordering :premises (@p409) :args ((or @t211 @t161 (not @t164))))
% 62.31/62.58  (step @p411 :rule chain_m_resolution :premises (@p410 @p408 @p239) :args (@t211 @t75 (@list @t161 @t164)))
% 62.31/62.58  (step @p412 :rule cnf_or_pos :args (@t118))
% 62.31/62.58  (step @p413 :rule reordering :premises (@p412) :args ((or @t117 @t116 @t212)))
% 62.31/62.58  (step @p414 :rule chain_m_resolution :premises (@p413 @p411 @p228) :args (@t212 (@list true true) (@list @t117 @t116)))
% 62.31/62.58  (step @p415 :rule cnf_equiv_pos1 :args (@t123))
% 62.31/62.58  (step @p416 :rule reordering :premises (@p415) :args ((or @t118 @t112 (not @t123))))
% 62.31/62.58  (step @p417 :rule chain_m_resolution :premises (@p416 @p414 @p132) :args (@t112 @t75 (@list @t118 @t123)))
% 62.31/62.58  (step @p418 :rule refl :args (@t109))
% 62.31/62.58  (step @p419 :rule bool-double-not-elim :args (@t111))
% 62.31/62.58  (step @p420 :rule refl :args (@t213))
% 62.31/62.58  (step @p421 :rule nary_cong :premises (@p420 @p419 @p418) :args ((or @t213 (not @t112) @t109)))
% 62.31/62.58  (step @p422 :rule cnf_equiv_pos1 :args (@t114))
% 62.31/62.58  (step @p423 :rule eq_resolve :premises (@p422 @p421))
% 62.31/62.58  (step @p424 :rule reordering :premises (@p423) :args ((or @t111 @t109 @t213)))
% 62.31/62.58  (step @p425 :rule chain_m_resolution :premises (@p424 @p417 @p115) :args (@t109 @t75 (@list @t111 @t114)))
% 62.31/62.58  (step @p426 :rule bool-double-not-elim :args (@t214))
% 62.31/62.58  (step @p427 :rule refl :args (@t215))
% 62.31/62.58  (step @p428 :rule refl :args (@t216))
% 62.31/62.58  (step @p429 :rule nary_cong :premises (@p428 @p326 @p177 @p427 @p426) :args ((or @t216 @t197 @t141 @t215 (not @t217))))
% 62.31/62.58  (assume-push @p770 @t97)
% 62.31/62.58  (assume-push @p771 @t64)
% 62.31/62.58  (assume-push @p772 @t54)
% 62.31/62.58  (assume-push @p773 @t109)
% 62.31/62.58  (assume-push @p774 @t217)
% 62.31/62.58  (step @p183 :rule evaluate :args (@t145))
% 62.31/62.58  (step @p184 :rule evaluate :args (@t146))
% 62.31/62.58  (step @p435 :rule evaluate :args ((+ 3 -1 -1 0 -1)))
% 62.31/62.58  (step @p140 :rule refl :args (-1))
% 62.31/62.58  (step @p141 :rule evaluate :args (@t126))
% 62.31/62.58  (step @p436 :rule refl :args (3))
% 62.31/62.58  (step @p437 :rule nary_cong :premises (@p436 @p140 @p140 @p141 @p140) :args (@t218))
% 62.31/62.58  (step @p438 :rule trans :premises (@p437 @p435))
% 62.31/62.58  (step @p439 :rule arith_poly_norm :args ((= @t221 0)))
% 62.31/62.58  (step @p440 :rule arith_poly_norm :args ((= @t224 @t221)))
% 62.31/62.58  (step @p441 :rule trans :premises (@p440 @p439))
% 62.31/62.58  (step @p442 :rule cong :premises (@p441 @p438) :args (@t225))
% 62.31/62.58  (step @p443 :rule trans :premises (@p442 @p184))
% 62.31/62.58  (step @p444 :rule cong :premises (@p443) :args ((not @t225)))
% 62.31/62.58  (step @p445 :rule trans :premises (@p444 @p183))
% 62.31/62.58  (step @p446 :rule arith-elim-lt :args (@t224 @t218))
% 62.31/62.58  (step @p447 :rule trans :premises (@p446 @p445))
% 62.31/62.58  (step @p448 :rule arith_poly_norm :args (@t226))
% 62.31/62.58  (step @p449 :rule arith_poly_norm_rel :premises (@p448) :args (@t228))
% 62.31/62.58  (step @p450 :rule symm :premises (@p449))
% 62.31/62.58  (step @p451 :rule eq_resolve :premises (@p773 @p450))
% 62.31/62.58  (step @p201 :rule arith_mult_neg :args (-1 @t54))
% 62.31/62.58  (step @p158 :rule evaluate :args (@t138))
% 62.31/62.58  (step @p159 :rule true_elim :premises (@p158))
% 62.31/62.58  (step @p202 :rule and_intro :premises (@p159 @p35))
% 62.31/62.58  (step @p203 :rule modus_ponens :premises (@p202 @p201))
% 62.31/62.58  (step @p153 :rule arith_poly_norm :args (@t135))
% 62.31/62.58  (step @p154 :rule arith_poly_norm_rel :premises (@p153) :args (@t137))
% 62.31/62.58  (step @p155 :rule symm :premises (@p154))
% 62.31/62.58  (step @p156 :rule eq_resolve :premises (@p64 @p155))
% 62.31/62.58  (step @p452 :rule arith_poly_norm :args (@t229))
% 62.31/62.58  (step @p453 :rule arith_poly_norm_rel :premises (@p452) :args (@t231))
% 62.31/62.58  (step @p454 :rule symm :premises (@p453))
% 62.31/62.58  (step @p455 :rule eq_resolve :premises (@p770 @p454))
% 62.31/62.58  (step @p456 :rule arith-elim-lt :args (@t105 3))
% 62.31/62.58  (step @p457 :rule symm :premises (@p456))
% 62.31/62.58  (step @p458 :rule eq_resolve :premises (@p774 @p457))
% 62.31/62.58  (step @p459 :rule arith_sum_ub :premises (@p458 @p455 @p156 @p203 @p451))
% 62.31/62.58  (step @p460 false :rule eq_resolve :premises (@p459 @p447))
% 62.31/62.58  (step-pop @p775 :rule scope :premises (@p460))
% 62.31/62.58  (step-pop @p776 :rule scope :premises (@p775))
% 62.31/62.58  (step-pop @p777 :rule scope :premises (@p776))
% 62.31/62.58  (step-pop @p778 :rule scope :premises (@p777))
% 62.31/62.58  (step-pop @p779 :rule scope :premises (@p778))
% 62.31/62.58  (step @p461 :rule process_scope :premises (@p779) :args (false))
% 62.31/62.58  (step @p467 :rule not_and :premises (@p461))
% 62.31/62.58  (step @p468 :rule eq_resolve :premises (@p467 @p429))
% 62.31/62.58  (step @p469 :rule reordering :premises (@p468) :args ((or @t141 @t197 @t216 @t215 @t214)))
% 62.31/62.58  (assume-push @p780 @t97)
% 62.31/62.58  (assume-push @p781 @t64)
% 62.31/62.58  (assume-push @p782 @t54)
% 62.31/62.58  (assume-push @p783 @t109)
% 62.31/62.58  (assume-push @p784 @t232)
% 62.31/62.58  (step @p138 :rule evaluate :args (@t125))
% 62.31/62.58  (step @p475 :rule evaluate :args ((+ -4 1 1 0 1)))
% 62.31/62.58  (step @p334 :rule evaluate :args (@t198))
% 62.31/62.58  (step @p297 :rule refl :args (0))
% 62.31/62.58  (step @p476 :rule evaluate :args (@t233))
% 62.31/62.58  (step @p477 :rule nary_cong :premises (@p476 @p334 @p334 @p297 @p334) :args (@t234))
% 62.31/62.58  (step @p478 :rule trans :premises (@p477 @p475))
% 62.31/62.58  (step @p479 :rule arith_poly_norm :args ((= (+ @t220 @t236 @t200 @t53 @t235) 0)))
% 62.31/62.58  (step @p480 :rule arith_poly_norm :args ((= @t237 @t235)))
% 62.31/62.58  (step @p340 :rule refl :args (@t53))
% 62.31/62.58  (step @p339 :rule arith_poly_norm :args (@t202))
% 62.31/62.58  (step @p481 :rule arith_poly_norm :args ((= @t238 @t236)))
% 62.31/62.58  (step @p482 :rule refl :args (@t220))
% 62.31/62.58  (step @p483 :rule nary_cong :premises (@p482 @p481 @p339 @p340 @p480) :args (@t239))
% 62.31/62.58  (step @p484 :rule trans :premises (@p483 @p479))
% 62.31/62.58  (step @p485 :rule cong :premises (@p484 @p478) :args ((<= @t239 @t234)))
% 62.31/62.58  (step @p486 :rule trans :premises (@p485 @p138))
% 62.31/62.58  (step @p487 :rule arith_mult_neg :args (-1 @t227))
% 62.31/62.58  (step @p448 :rule arith_poly_norm :args (@t226))
% 62.31/62.58  (step @p449 :rule arith_poly_norm_rel :premises (@p448) :args (@t228))
% 62.31/62.58  (step @p450 :rule symm :premises (@p449))
% 62.31/62.58  (step @p488 :rule eq_resolve :premises (@p783 @p450))
% 62.31/62.58  (step @p158 :rule evaluate :args (@t138))
% 62.31/62.58  (step @p159 :rule true_elim :premises (@p158))
% 62.31/62.58  (step @p489 :rule and_intro :premises (@p159 @p488))
% 62.31/62.58  (step @p490 :rule modus_ponens :premises (@p489 @p487))
% 62.31/62.58  (step @p351 :rule arith_mult_neg :args (-1 @t136))
% 62.31/62.58  (step @p153 :rule arith_poly_norm :args (@t135))
% 62.31/62.58  (step @p154 :rule arith_poly_norm_rel :premises (@p153) :args (@t137))
% 62.31/62.58  (step @p155 :rule symm :premises (@p154))
% 62.31/62.58  (step @p156 :rule eq_resolve :premises (@p64 @p155))
% 62.31/62.58  (step @p352 :rule and_intro :premises (@p159 @p156))
% 62.31/62.58  (step @p353 :rule modus_ponens :premises (@p352 @p351))
% 62.31/62.58  (step @p491 :rule arith_mult_neg :args (-1 @t230))
% 62.31/62.58  (step @p452 :rule arith_poly_norm :args (@t229))
% 62.31/62.58  (step @p453 :rule arith_poly_norm_rel :premises (@p452) :args (@t231))
% 62.31/62.58  (step @p454 :rule symm :premises (@p453))
% 62.31/62.58  (step @p492 :rule eq_resolve :premises (@p780 @p454))
% 62.31/62.58  (step @p493 :rule and_intro :premises (@p159 @p492))
% 62.31/62.58  (step @p494 :rule modus_ponens :premises (@p493 @p491))
% 62.31/62.58  (step @p495 :rule arith_mult_neg :args (-1 @t232))
% 62.31/62.58  (step @p496 :rule and_intro :premises (@p159 @p784))
% 62.31/62.58  (step @p497 :rule modus_ponens :premises (@p496 @p495))
% 62.31/62.58  (step @p498 :rule arith_sum_ub :premises (@p497 @p494 @p353 @p35 @p490))
% 62.31/62.58  (step @p499 false :rule eq_resolve :premises (@p498 @p486))
% 62.31/62.58  (step-pop @p785 :rule scope :premises (@p499))
% 62.31/62.58  (step-pop @p786 :rule scope :premises (@p785))
% 62.31/62.58  (step-pop @p787 :rule scope :premises (@p786))
% 62.31/62.58  (step-pop @p788 :rule scope :premises (@p787))
% 62.31/62.58  (step-pop @p789 :rule scope :premises (@p788))
% 62.31/62.58  (step @p500 :rule process_scope :premises (@p789) :args (false))
% 62.31/62.58  (step @p506 :rule not_and :premises (@p500))
% 62.31/62.58  (step @p507 :rule reordering :premises (@p506) :args ((or @t141 @t197 @t216 @t215 @t240)))
% 62.31/62.58  (step @p508 :rule bool-double-not-elim :args (@t241))
% 62.31/62.58  (step @p509 :rule exists-elim :args ((= @t50 (not @t241))))
% 62.31/62.58  (step @p510 :rule cong :premises (@p509) :args (@t51))
% 62.31/62.58  (step @p511 :rule trans :premises (@p510 @p508))
% 62.31/62.58  (step @p512 :rule eq_resolve :premises (@p13 @p511))
% 62.31/62.58  (step @p513 :rule instantiate :premises (@p512) :args ((@list @t104)))
% 62.31/62.58  (step @p514 :rule bool-double-not-elim :args (@t232))
% 62.31/62.58  (step @p515 :rule refl :args (@t217))
% 62.31/62.58  (step @p516 :rule bool-double-not-elim :args (@t242))
% 62.31/62.58  (step @p517 :rule nary_cong :premises (@p516 @p515 @p514) :args ((or (not @t243) @t217 (not @t240))))
% 62.31/62.58  (assume-push @p790 @t240)
% 62.31/62.58  (assume-push @p791 @t243)
% 62.31/62.58  (assume-push @p792 @t214)
% 62.31/62.58  (step @p521 :rule evaluate :args (@t244))
% 62.31/62.58  (step @p522 :rule refl :args (@t105))
% 62.31/62.58  (step @p523 :rule cong :premises (@p522 @p521) :args (@t245))
% 62.31/62.58  (step @p524 :rule cong :premises (@p523) :args ((not @t245)))
% 62.31/62.58  (step @p525 :rule arith-leq-norm :args (@t105 3))
% 62.31/62.58  (step @p526 :rule trans :premises (@p525 @p524))
% 62.31/62.58  (step @p527 :rule cong :premises (@p526) :args ((not (<= @t105 3))))
% 62.31/62.58  (step @p528 :rule trans :premises (@p527 @p514))
% 62.31/62.58  (step @p529 :rule arith-elim-leq :args (@t105 3))
% 62.31/62.58  (step @p530 :rule symm :premises (@p529))
% 62.31/62.58  (step @p531 :rule cong :premises (@p530) :args ((not (>= 3 @t105))))
% 62.31/62.58  (step @p532 :rule arith-elim-gt :args (@t105 3))
% 62.31/62.58  (step @p533 :rule trans :premises (@p532 @p531))
% 62.31/62.58  (step @p534 :rule trans :premises (@p533 @p528))
% 62.31/62.58  (step @p535 :rule cong :premises (@p534) :args ((not (> @t105 3))))
% 62.31/62.58  (step @p536 :rule symm :premises (@p535))
% 62.31/62.58  (step @p537 :rule trans :premises (@p526 @p536))
% 62.31/62.58  (step @p538 :rule arith-elim-lt :args (@t105 4))
% 62.31/62.58  (step @p539 :rule symm :premises (@p538))
% 62.31/62.58  (step @p540 :rule eq_resolve :premises (@p790 @p539))
% 62.31/62.58  (step @p541 :rule int_tight_ub :premises (@p540))
% 62.31/62.58  (step @p542 :rule eq_resolve :premises (@p541 @p537))
% 62.31/62.58  (step @p543 :rule arith_trichotomy :premises (@p513 @p792))
% 62.31/62.58  (step @p544 false :rule contra :premises (@p543 @p542))
% 62.31/62.58  (step-pop @p793 :rule scope :premises (@p544))
% 62.31/62.58  (step-pop @p794 :rule scope :premises (@p793))
% 62.31/62.58  (step-pop @p795 :rule scope :premises (@p794))
% 62.31/62.58  (step @p545 :rule process_scope :premises (@p795) :args (false))
% 62.31/62.58  (assume-push @p796 @t243)
% 62.31/62.58  (assume-push @p797 @t214)
% 62.31/62.58  (assume-push @p798 @t240)
% 62.31/62.58  (step @p552 :rule and_intro :premises (@p798 @p513 @p797))
% 62.31/62.58  (step-pop @p799 :rule scope :premises (@p552))
% 62.31/62.58  (step-pop @p800 :rule scope :premises (@p799))
% 62.31/62.58  (step-pop @p801 :rule scope :premises (@p800))
% 62.31/62.58  (step @p553 :rule process_scope :premises (@p801) :args (@t246))
% 62.31/62.58  (step @p557 :rule implies_elim :premises (@p553))
% 62.31/62.58  (step @p558 :rule resolution :premises (@p557 @p545) :args (true @t246))
% 62.31/62.58  (step @p559 :rule not_and :premises (@p558))
% 62.31/62.58  (step @p560 :rule eq_resolve :premises (@p559 @p517))
% 62.31/62.58  (step @p561 :rule chain_m_resolution :premises (@p560 @p513 @p507 @p64 @p35 @p469 @p64 @p35) :args ((or @t216 @t215) (@list true true false false false false false) (@list @t242 @t232 @t64 @t54 @t214 @t64 @t54)))
% 62.31/62.58  (step @p562 :rule chain_m_resolution :premises (@p561 @p425) :args (@t216 @t57 (@list @t109)))
% 62.31/62.58  (step @p563 :rule refl :args (@t97))
% 62.31/62.58  (step @p564 :rule bool-double-not-elim :args (@t86))
% 62.31/62.58  (step @p565 :rule refl :args (@t247))
% 62.31/62.58  (step @p566 :rule nary_cong :premises (@p565 @p564 @p563) :args ((or @t247 (not @t99) @t97)))
% 62.31/62.58  (step @p567 :rule cnf_equiv_pos1 :args (@t101))
% 62.31/62.58  (step @p568 :rule eq_resolve :premises (@p567 @p566))
% 62.31/62.58  (step @p569 :rule reordering :premises (@p568) :args ((or @t86 @t97 @t247)))
% 62.31/62.58  (step @p570 :rule chain_m_resolution :premises (@p569 @p562 @p103) :args (@t86 @t75 (@list @t97 @t101)))
% 62.31/62.58  (step @p571 :rule cnf_equiv_pos1 :args (@t90))
% 62.31/62.58  (step @p572 :rule reordering :premises (@p571) :args ((or @t99 @t84 (not @t90))))
% 62.31/62.58  (step @p573 :rule chain_m_resolution :premises (@p572 @p570 @p91) :args (@t84 @t182 (@list @t86 @t90)))
% 62.31/62.58  (step @p574 :rule instantiate :premises (@p21) :args (@t77))
% 62.31/62.58  (step @p575 :rule eq-symm :args (@t250 @t251))
% 62.31/62.58  (step @p576 :rule refl :args (@t251))
% 62.31/62.58  (step @p577 :rule arith_poly_norm :args ((= (* 1 (- 0 @t60)) (* -1 (- @t60 0)))))
% 62.31/62.58  (step @p578 :rule arith_poly_norm_rel :premises (@p577) :args ((= @t252 @t248)))
% 62.31/62.58  (step @p579 :rule cong :premises (@p578) :args (@t253))
% 62.31/62.58  (step @p580 :rule nary_cong :premises (@p247 @p579) :args (@t254))
% 62.31/62.58  (step @p581 :rule cong :premises (@p580 @p576) :args (@t255))
% 62.31/62.58  (step @p582 :rule trans :premises (@p581 @p575))
% 62.31/62.58  (step @p583 :rule cong :premises (@p251 @p582) :args ((=> @t13 @t255)))
% 62.31/62.58  (assume-push @p802 @t13)
% 62.31/62.58  (step @p585 :rule instantiate :premises (@p5) :args ((@list 0 @t59 @t60)))
% 62.31/62.58  (step-pop @p803 :rule scope :premises (@p585))
% 62.31/62.58  (step @p586 :rule process_scope :premises (@p803) :args (@t255))
% 62.31/62.58  (step @p588 :rule eq_resolve :premises (@p586 @p583))
% 62.31/62.58  (step @p589 :rule implies_elim :premises (@p588))
% 62.31/62.58  (step @p590 :rule chain_m_resolution :premises (@p589 @p5) :args (@t256 @t57 @t177))
% 62.31/62.58  (step @p591 :rule bool-eq-false :args (@t248))
% 62.31/62.58  (step @p592 :rule symm :premises (@p591))
% 62.31/62.58  (step @p593 :rule bool-eq-false :args (@t252))
% 62.31/62.58  (step @p594 :rule trans :premises (@p593 @p579))
% 62.31/62.58  (step @p595 :rule trans :premises (@p594 @p592))
% 62.31/62.58  (step @p596 :rule false_intro :premises (@p276))
% 62.31/62.58  (step @p597 :rule refl :args (@t60))
% 62.31/62.58  (step @p598 :rule symm :premises (@p35))
% 62.31/62.58  (step @p599 :rule cong :premises (@p598 @p597) :args (@t252))
% 62.31/62.58  (step @p600 :rule trans :premises (@p599 @p596))
% 62.31/62.58  (step @p601 :rule eq_resolve :premises (@p600 @p595))
% 62.31/62.58  (step @p602 :rule false_elim :premises (@p601))
% 62.31/62.58  (step @p603 :rule bool-double-not-elim :args (@t248))
% 62.31/62.58  (step @p604 :rule refl :args (@t250))
% 62.31/62.58  (step @p605 :rule nary_cong :premises (@p604 @p278 @p603) :args ((or @t250 @t181 (not @t249))))
% 62.31/62.58  (step @p606 :rule cnf_and_neg :args (@t250))
% 62.31/62.58  (step @p607 :rule eq_resolve :premises (@p606 @p605))
% 62.31/62.58  (step @p608 :rule reordering :premises (@p607) :args ((or @t181 @t248 @t250)))
% 62.31/62.58  (step @p609 :rule chain_m_resolution :premises (@p608 @p260 @p602) :args (@t250 @t156 (@list @t168 @t248)))
% 62.31/62.58  (step @p610 :rule cnf_equiv_pos2 :args (@t256))
% 62.31/62.58  (step @p611 :rule reordering :premises (@p610) :args ((or @t251 (not @t250) (not @t256))))
% 62.31/62.58  (step @p612 :rule chain_m_resolution :premises (@p611 @p609 @p590) :args (@t251 @t182 (@list @t250 @t256)))
% 62.31/62.58  (step @p613 :rule refl :args (@t258))
% 62.31/62.58  (step @p614 :rule refl :args (@t259))
% 62.31/62.58  (step @p615 :rule nary_cong :premises (@p58 @p614 @p613) :args ((or @t74 @t259 @t258)))
% 62.31/62.58  (assume-push @p804 @t67)
% 62.31/62.58  (assume-push @p805 @t257)
% 62.31/62.58  (assume-push @p806 @t251)
% 62.31/62.58  (step @p294 :rule evaluate :args (@t186))
% 62.31/62.58  (step @p295 :rule false_intro :premises (@p56))
% 62.31/62.58  (step @p619 :rule symm :premises (@p805))
% 62.31/62.58  (step @p297 :rule refl :args (0))
% 62.31/62.58  (step @p620 :rule cong :premises (@p297 @p619) :args (@t251))
% 62.31/62.58  (step @p621 :rule true_intro :premises (@p612))
% 62.31/62.58  (step @p622 :rule symm :premises (@p621))
% 62.31/62.58  (step @p623 :rule trans :premises (@p622 @p620 @p295))
% 62.31/62.58  (step @p624 false :rule eq_resolve :premises (@p623 @p294))
% 62.31/62.58  (step-pop @p807 :rule scope :premises (@p624))
% 62.31/62.58  (step-pop @p808 :rule scope :premises (@p807))
% 62.31/62.58  (step-pop @p809 :rule scope :premises (@p808))
% 62.31/62.58  (step @p625 :rule process_scope :premises (@p809) :args (false))
% 62.31/62.58  (assume-push @p810 @t67)
% 62.31/62.58  (assume-push @p811 @t251)
% 62.31/62.58  (assume-push @p812 @t257)
% 62.31/62.58  (step @p632 :rule and_intro :premises (@p56 @p812 @p612))
% 62.31/62.58  (step-pop @p813 :rule scope :premises (@p632))
% 62.31/62.58  (step-pop @p814 :rule scope :premises (@p813))
% 62.31/62.58  (step-pop @p815 :rule scope :premises (@p814))
% 62.31/62.58  (step @p633 :rule process_scope :premises (@p815) :args (@t260))
% 62.31/62.58  (step @p637 :rule implies_elim :premises (@p633))
% 62.31/62.58  (step @p638 :rule resolution :premises (@p637 @p625) :args (true @t260))
% 62.31/62.58  (step @p639 :rule not_and :premises (@p638))
% 62.31/62.58  (step @p640 :rule eq_resolve :premises (@p639 @p615))
% 62.31/62.58  (step @p641 :rule chain_m_resolution :premises (@p640 @p56 @p612) :args (@t258 @t75 (@list @t66 @t251)))
% 62.31/62.58  (step @p642 :rule cnf_equiv_pos1 :args (@t262))
% 62.31/62.58  (step @p643 :rule reordering :premises (@p642) :args ((or @t257 @t263 (not @t262))))
% 62.31/62.58  (step @p644 :rule chain_m_resolution :premises (@p643 @p641 @p574) :args (@t263 @t75 (@list @t257 @t262)))
% 62.31/62.58  (step @p645 :rule bool-double-not-elim :args (@t261))
% 62.31/62.58  (step @p646 :rule refl :args (@t265))
% 62.31/62.58  (step @p647 :rule refl :args (@t266))
% 62.31/62.58  (step @p648 :rule nary_cong :premises (@p177 @p326 @p647 @p646 @p645) :args ((or @t141 @t197 @t266 @t265 (not @t263))))
% 62.31/62.58  (assume-push @p816 @t54)
% 62.31/62.58  (assume-push @p817 @t84)
% 62.31/62.58  (assume-push @p818 @t64)
% 62.31/62.58  (assume-push @p819 @t264)
% 62.31/62.58  (assume-push @p820 @t263)
% 62.31/62.58  (step @p654 :rule arith-elim-lt :args (@t81 1))
% 62.31/62.58  (step @p655 :rule symm :premises (@p654))
% 62.31/62.58  (assume-push @p821 @t267)
% 62.31/62.58  (step @p138 :rule evaluate :args (@t125))
% 62.31/62.58  (step @p657 :rule evaluate :args ((+ -1 1 -1 0)))
% 62.31/62.58  (step @p297 :rule refl :args (0))
% 62.31/62.58  (step @p334 :rule evaluate :args (@t198))
% 62.31/62.58  (step @p658 :rule nary_cong :premises (@p67 @p334 @p67 @p297) :args (@t268))
% 62.31/62.58  (step @p659 :rule trans :premises (@p658 @p657))
% 62.31/62.58  (step @p660 :rule arith_poly_norm :args ((= (+ @t270 @t200 @t269 @t53) 0)))
% 62.31/62.58  (step @p340 :rule refl :args (@t53))
% 62.31/62.58  (step @p661 :rule arith_poly_norm :args ((= @t272 @t269)))
% 62.31/62.58  (step @p339 :rule arith_poly_norm :args (@t202))
% 62.31/62.58  (step @p662 :rule refl :args (@t270))
% 62.31/62.58  (step @p663 :rule nary_cong :premises (@p662 @p339 @p661 @p340) :args (@t273))
% 62.31/62.58  (step @p664 :rule trans :premises (@p663 @p660))
% 62.31/62.58  (step @p665 :rule cong :premises (@p664 @p659) :args ((<= @t273 @t268)))
% 62.31/62.58  (step @p666 :rule trans :premises (@p665 @p138))
% 62.31/62.58  (step @p667 :rule arith_mult_neg :args (-1 @t274))
% 62.31/62.58  (step @p668 :rule arith_poly_norm :args ((= (* -1 (- @t271 1)) (* -1 @t83))))
% 62.31/62.58  (step @p669 :rule arith_poly_norm_rel :premises (@p668) :args ((= @t274 @t84)))
% 62.31/62.58  (step @p670 :rule symm :premises (@p669))
% 62.31/62.58  (step @p671 :rule eq_resolve :premises (@p817 @p670))
% 62.31/62.58  (step @p158 :rule evaluate :args (@t138))
% 62.31/62.58  (step @p159 :rule true_elim :premises (@p158))
% 62.31/62.58  (step @p672 :rule and_intro :premises (@p159 @p671))
% 62.31/62.58  (step @p673 :rule modus_ponens :premises (@p672 @p667))
% 62.31/62.58  (step @p351 :rule arith_mult_neg :args (-1 @t136))
% 62.31/62.58  (step @p153 :rule arith_poly_norm :args (@t135))
% 62.31/62.58  (step @p154 :rule arith_poly_norm_rel :premises (@p153) :args (@t137))
% 62.31/62.58  (step @p155 :rule symm :premises (@p154))
% 62.31/62.58  (step @p156 :rule eq_resolve :premises (@p64 @p155))
% 62.31/62.58  (step @p352 :rule and_intro :premises (@p159 @p156))
% 62.31/62.58  (step @p353 :rule modus_ponens :premises (@p352 @p351))
% 62.31/62.58  (step @p674 :rule arith_mult_neg :args (-1 @t267))
% 62.31/62.58  (step @p675 :rule and_intro :premises (@p159 @p821))
% 62.31/62.58  (step @p676 :rule modus_ponens :premises (@p675 @p674))
% 62.31/62.58  (step @p677 :rule arith_sum_ub :premises (@p676 @p353 @p673 @p35))
% 62.31/62.58  (step @p678 false :rule eq_resolve :premises (@p677 @p666))
% 62.31/62.58  (step-pop @p822 :rule scope :premises (@p678))
% 62.31/62.58  (step @p679 :rule process_scope :premises (@p822) :args (false))
% 62.31/62.58  (step @p681 :rule eq_resolve :premises (@p679 @p655))
% 62.31/62.58  (step @p682 :rule eq_resolve :premises (@p681 @p654))
% 62.31/62.58  (step @p683 :rule arith_trichotomy :premises (@p65 @p820))
% 62.31/62.58  (step @p684 :rule int_tight_lb :premises (@p683))
% 62.31/62.58  (step @p685 false :rule contra :premises (@p684 @p682))
% 62.31/62.58  (step-pop @p823 :rule scope :premises (@p685))
% 62.31/62.58  (step-pop @p824 :rule scope :premises (@p823))
% 62.31/62.58  (step-pop @p825 :rule scope :premises (@p824))
% 62.31/62.58  (step-pop @p826 :rule scope :premises (@p825))
% 62.31/62.58  (step-pop @p827 :rule scope :premises (@p826))
% 62.31/62.58  (step @p686 :rule process_scope :premises (@p827) :args (false))
% 62.31/62.58  (assume-push @p828 @t54)
% 62.31/62.58  (assume-push @p829 @t64)
% 62.31/62.58  (assume-push @p830 @t84)
% 62.31/62.58  (assume-push @p831 @t264)
% 62.31/62.58  (assume-push @p832 @t263)
% 62.31/62.58  (step @p697 :rule and_intro :premises (@p35 @p830 @p64 @p65 @p832))
% 62.31/62.58  (step-pop @p833 :rule scope :premises (@p697))
% 62.31/62.58  (step-pop @p834 :rule scope :premises (@p833))
% 62.31/62.58  (step-pop @p835 :rule scope :premises (@p834))
% 62.31/62.58  (step-pop @p836 :rule scope :premises (@p835))
% 62.31/62.58  (step-pop @p837 :rule scope :premises (@p836))
% 62.31/62.58  (step @p698 :rule process_scope :premises (@p837) :args (@t275))
% 62.31/62.58  (step @p704 :rule implies_elim :premises (@p698))
% 62.31/62.58  (step @p705 :rule resolution :premises (@p704 @p686) :args (true @t275))
% 62.31/62.58  (step @p706 :rule not_and :premises (@p705))
% 62.31/62.58  (step @p707 :rule eq_resolve :premises (@p706 @p648))
% 62.31/62.58  (step @p708 :rule reordering :premises (@p707) :args ((or @t141 @t197 @t266 @t261 @t265)))
% 62.31/62.58  (step @p709 false :rule chain_m_resolution :premises (@p708 @p644 @p573 @p65 @p64 @p35) :args (false (@list true false false false false) (@list @t261 @t84 @t264 @t64 @t54)))
% 62.31/62.58  )
% 62.31/62.58  % SZS output end Proof
% 62.31/62.58  % cvc5 exiting
%------------------------------------------------------------------------------