0.00/0.11	% Problem  : theBenchmark.p : TPTP v0.0.0. Released v0.0.0.
0.11/0.12	% Command  : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 120 THM
0.12/0.32	% Computer : n029.cluster.edu
0.12/0.32	% Model    : x86_64 x86_64
0.12/0.32	% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
0.12/0.32	% Memory   : 8042.1875MB
0.12/0.32	% OS       : Linux 3.10.0-693.el7.x86_64
0.12/0.32	% CPULimit : 960
0.12/0.32	% WCLimit  : 120
0.12/0.32	% DateTime : Fri Sep  5 12:18:52 EDT 2025
0.12/0.32	% CPUTime  : 
0.18/0.47	%----Proving TF0_ARI
18.50/18.81	--- Run --finite-model-find --decision=internal at 18...
18.50/18.81	--- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 24...
18.50/18.81	% SZS status Theorem
18.50/18.81	% SZS output start Proof
18.50/18.81	(
18.50/18.81	(declare-type tptp.collection ())
18.50/18.81	(declare-const tptp.count (-> tptp.collection Int))
18.50/18.81	(declare-const tptp.remove (-> Int tptp.collection tptp.collection))
18.50/18.81	(declare-const tptp.add (-> Int tptp.collection tptp.collection))
18.50/18.81	(declare-const tptp.in (-> Int tptp.collection Bool))
18.50/18.81	(declare-const tptp.empty tptp.collection)
18.50/18.81	(define @t1 () (@var "U" Int))
18.50/18.81	(define @t2 () (@var "X1" tptp.collection))
18.50/18.81	(define @t3 () (@var "X2" Int))
18.50/18.81	(define @t4 () (@var "Z" Int))
18.50/18.81	(define @t5 () (forall (@list @t4 @t2 @t3) (= (or (tptp.in @t4 @t2) (= @t4 @t3)) (tptp.in @t4 (tptp.add @t3 @t2)))))
18.50/18.81	(define @t6 () (@var "X4" tptp.collection))
18.50/18.81	(define @t7 () (@var "X3" Int))
18.50/18.81	(define @t8 () (@var "X5" Int))
18.50/18.81	(define @t9 () (@var "W" tptp.collection))
18.50/18.81	(define @t10 () (@var "V" Int))
18.50/18.81	(define @t11 () (@var "Y" tptp.collection))
18.50/18.81	(define @t12 () (@var "X" Int))
18.50/18.81	(define @t13 () (@var "X13" tptp.collection))
18.50/18.81	(define @t14 () (tptp.count @t13))
18.50/18.81	(define @t15 () (- @t14 1))
18.50/18.81	(define @t16 () (@var "X12" Int))
18.50/18.81	(define @t17 () (tptp.count (tptp.remove @t16 @t13)))
18.50/18.81	(define @t18 () (= @t17 @t15))
18.50/18.81	(define @t19 () (tptp.in @t16 @t13))
18.50/18.81	(define @t20 () (= @t19 @t18))
18.50/18.81	(define @t21 () (@list @t16 @t13))
18.50/18.81	(define @t22 () (forall @t21 @t20))
18.50/18.81	(define @t23 () (@var "X15" tptp.collection))
18.50/18.81	(define @t24 () (@var "X14" Int))
18.50/18.81	(define @t25 () (@var "X6" tptp.collection))
18.50/18.81	(define @t26 () (@var "X11" tptp.collection))
18.50/18.81	(define @t27 () (@var "X10" Int))
18.50/18.81	(define @t28 () (@var "X7" tptp.collection))
18.50/18.81	(define @t29 () (= (tptp.count @t28) 0))
18.50/18.81	(define @t30 () (= @t29 (= @t28 tptp.empty)))
18.50/18.81	(define @t31 () (forall (@list @t28) @t30))
18.50/18.81	(define @t32 () (@var "X17" tptp.collection))
18.50/18.81	(define @t33 () (@var "X16" Int))
18.50/18.81	(define @t34 () (= @t32 (tptp.add @t33 (tptp.remove @t33 @t32))))
18.50/18.81	(define @t35 () (tptp.in @t33 @t32))
18.50/18.81	(define @t36 () (forall (@list @t33 @t32) (=> @t35 @t34)))
18.50/18.81	(define @t37 () (@var "X9" tptp.collection))
18.50/18.81	(define @t38 () (@var "X8" Int))
18.50/18.81	(define @t39 () (@var "U" tptp.collection))
18.50/18.81	(define @t40 () (tptp.count @t39))
18.50/18.81	(define @t41 () (@var "W" Int))
18.50/18.81	(define @t42 () (tptp.in @t10 @t39))
18.50/18.81	(define @t43 () (tptp.in @t12 @t39))
18.50/18.81	(define @t44 () (tptp.in @t41 @t39))
18.50/18.81	(define @t45 () (and (> @t10 @t41) @t44 @t43 @t42 (> @t41 @t12)))
18.50/18.81	(define @t46 () (=> @t45 (> @t40 2)))
18.50/18.81	(define @t47 () (@list @t39 @t10 @t41 @t12))
18.50/18.81	(define @t48 () (forall @t47 @t46))
18.50/18.81	(define @t49 () (not @t48))
18.50/18.81	(define @t50 () (>= @t40 3))
18.50/18.81	(define @t51 () (* -1 @t41))
18.50/18.81	(define @t52 () (+ @t12 @t51))
18.50/18.81	(define @t53 () (>= @t52 0))
18.50/18.81	(define @t54 () (not @t42))
18.50/18.81	(define @t55 () (not @t43))
18.50/18.81	(define @t56 () (not @t44))
18.50/18.81	(define @t57 () (+ @t10 @t51))
18.50/18.81	(define @t58 () (>= @t57 1))
18.50/18.81	(define @t59 () (not @t58))
18.50/18.81	(define @t60 () (or @t59 @t56 @t55 @t54 @t53 @t50))
18.50/18.81	(define @t61 () (not @t53))
18.50/18.81	(define @t62 () (not @t61))
18.50/18.81	(define @t63 () (or @t59 @t56 @t55 @t54 @t62))
18.50/18.81	(define @t64 () (and @t58 @t44 @t43 @t42 @t61))
18.50/18.81	(define @t65 () (+ 2 1))
18.50/18.81	(define @t66 () (>= @t40 @t65))
18.50/18.81	(define @t67 () (>= @t12 @t41))
18.50/18.81	(define @t68 () (+ @t41 1))
18.50/18.81	(define @t69 () (>= @t10 @t68))
18.50/18.81	(define @t70 () (forall @t47 @t60))
18.50/18.81	(define @t71 () (@quantifiers_skolemize @t70 0))
18.50/18.81	(define @t72 () (tptp.count @t71))
18.50/18.81	(define @t73 () (>= @t72 3))
18.50/18.81	(define @t74 () (@quantifiers_skolemize @t70 3))
18.50/18.81	(define @t75 () (* -1 @t74))
18.50/18.81	(define @t76 () (@quantifiers_skolemize @t70 2))
18.50/18.81	(define @t77 () (+ @t76 @t75))
18.50/18.81	(define @t78 () (>= @t77 1))
18.50/18.81	(define @t79 () (not @t78))
18.50/18.81	(define @t80 () (@quantifiers_skolemize @t70 1))
18.50/18.81	(define @t81 () (tptp.in @t80 @t71))
18.50/18.81	(define @t82 () (not @t81))
18.50/18.81	(define @t83 () (tptp.in @t74 @t71))
18.50/18.81	(define @t84 () (not @t83))
18.50/18.81	(define @t85 () (tptp.in @t76 @t71))
18.50/18.81	(define @t86 () (not @t85))
18.50/18.81	(define @t87 () (* -1 @t76))
18.50/18.81	(define @t88 () (+ @t80 @t87))
18.50/18.81	(define @t89 () (>= @t88 1))
18.50/18.81	(define @t90 () (not @t89))
18.50/18.81	(define @t91 () (or @t90 @t86 @t84 @t82 @t79 @t73))
18.50/18.81	(define @t92 () (not @t91))
18.50/18.81	(define @t93 () (not @t70))
18.50/18.81	(define @t94 () (+ @t87 @t74))
18.50/18.81	(define @t95 () (+ @t77 1))
18.50/18.81	(define @t96 () (+ @t74 @t87))
18.50/18.81	(define @t97 () (>= @t96 0))
18.50/18.81	(define @t98 () (or @t90 @t86 @t84 @t82 @t97 @t73))
18.50/18.81	(define @t99 () (not @t98))
18.50/18.81	(define @t100 () (@list true))
18.50/18.81	(define @t101 () (@list @t91))
18.50/18.81	(define @t102 () (tptp.remove @t74 @t71))
18.50/18.81	(define @t103 () (@list @t74 @t71))
18.50/18.81	(define @t104 () (tptp.add @t74 @t102))
18.50/18.81	(define @t105 () (= @t71 @t104))
18.50/18.81	(define @t106 () (or @t84 @t105))
18.50/18.81	(define @t107 () (@list false false))
18.50/18.81	(define @t108 () (tptp.in @t80 @t104))
18.50/18.81	(define @t109 () (= @t80 @t74))
18.50/18.81	(define @t110 () (tptp.in @t80 @t102))
18.50/18.81	(define @t111 () (or @t110 @t109))
18.50/18.81	(define @t112 () (= @t111 @t108))
18.50/18.81	(define @t113 () (+ -1 @t14))
18.50/18.81	(define @t114 () (* -1 1))
18.50/18.81	(define @t115 () (+ @t14 @t114))
18.50/18.81	(define @t116 () (tptp.remove @t80 @t102))
18.50/18.81	(define @t117 () (tptp.count @t116))
18.50/18.81	(define @t118 () (+ 1 @t117))
18.50/18.81	(define @t119 () (tptp.count @t102))
18.50/18.81	(define @t120 () (- @t119 @t118))
18.50/18.81	(define @t121 () (+ -1 @t119))
18.50/18.81	(define @t122 () (= @t119 @t118))
18.50/18.81	(define @t123 () (= @t117 @t121))
18.50/18.81	(define @t124 () (= @t110 @t123))
18.50/18.81	(define @t125 () (forall @t21 (= @t19 (= @t17 @t113))))
18.50/18.81	(define @t126 () (@list @t80 @t102))
18.50/18.81	(define @t127 () (@list false))
18.50/18.81	(define @t128 () (@list @t125))
18.50/18.81	(define @t129 () (= @t110 @t122))
18.50/18.81	(define @t130 () (not @t110))
18.50/18.81	(define @t131 () (tptp.add @t80 @t116))
18.50/18.81	(define @t132 () (= @t102 @t131))
18.50/18.81	(define @t133 () (or @t130 @t132))
18.50/18.81	(define @t134 () (tptp.in @t76 @t104))
18.50/18.81	(define @t135 () (= @t76 @t74))
18.50/18.81	(define @t136 () (tptp.in @t76 @t102))
18.50/18.81	(define @t137 () (or @t136 @t135))
18.50/18.81	(define @t138 () (= @t137 @t134))
18.50/18.81	(define @t139 () (>= -1 0))
18.50/18.81	(define @t140 () (+ -1 @t74))
18.50/18.81	(define @t141 () (- @t140 @t74))
18.50/18.81	(define @t142 () (+ @t74 @t114))
18.50/18.81	(define @t143 () (* -1 @t77))
18.50/18.81	(define @t144 () (+ @t76 @t143))
18.50/18.81	(define @t145 () (< -1 0))
18.50/18.81	(define @t146 () (not @t135))
18.50/18.81	(define @t147 () (@list true false))
18.50/18.81	(define @t148 () (tptp.in @t76 @t131))
18.50/18.81	(define @t149 () (and @t136 @t132))
18.50/18.81	(define @t150 () (= @t80 @t76))
18.50/18.81	(define @t151 () (tptp.in @t76 @t116))
18.50/18.81	(define @t152 () (or @t151 @t150))
18.50/18.81	(define @t153 () (= @t76 @t80))
18.50/18.81	(define @t154 () (or @t151 @t153))
18.50/18.81	(define @t155 () (= @t154 @t148))
18.50/18.81	(define @t156 () (@list @t5))
18.50/18.81	(define @t157 () (= @t148 @t152))
18.50/18.81	(define @t158 () (+ -1 @t76))
18.50/18.81	(define @t159 () (- @t158 @t76))
18.50/18.81	(define @t160 () (+ @t76 @t114))
18.50/18.81	(define @t161 () (+ (* -1 @t80) @t76))
18.50/18.81	(define @t162 () (* -1 @t88))
18.50/18.81	(define @t163 () (+ @t80 @t162))
18.50/18.81	(define @t164 () (not @t150))
18.50/18.81	(define @t165 () (tptp.remove @t76 @t71))
18.50/18.81	(define @t166 () (tptp.count @t165))
18.50/18.81	(define @t167 () (+ 1 @t166))
18.50/18.81	(define @t168 () (- @t72 @t167))
18.50/18.81	(define @t169 () (+ -1 @t72))
18.50/18.81	(define @t170 () (= @t72 @t167))
18.50/18.81	(define @t171 () (= @t166 @t169))
18.50/18.81	(define @t172 () (= @t85 @t171))
18.50/18.81	(define @t173 () (@list @t76 @t71))
18.50/18.81	(define @t174 () (= @t85 @t170))
18.50/18.81	(define @t175 () (+ 1 @t119))
18.50/18.81	(define @t176 () (- @t72 @t175))
18.50/18.81	(define @t177 () (= @t72 @t175))
18.50/18.81	(define @t178 () (= @t119 @t169))
18.50/18.81	(define @t179 () (= @t83 @t178))
18.50/18.81	(define @t180 () (= @t83 @t177))
18.50/18.81	(define @t181 () (tptp.remove @t74 @t165))
18.50/18.81	(define @t182 () (tptp.count @t181))
18.50/18.81	(define @t183 () (+ 1 @t182))
18.50/18.81	(define @t184 () (- @t166 @t183))
18.50/18.81	(define @t185 () (+ -1 @t166))
18.50/18.81	(define @t186 () (= @t166 @t183))
18.50/18.81	(define @t187 () (= @t182 @t185))
18.50/18.81	(define @t188 () (tptp.in @t74 @t165))
18.50/18.81	(define @t189 () (= @t188 @t187))
18.50/18.81	(define @t190 () (@list @t74 @t165))
18.50/18.81	(define @t191 () (or @t188 @t135))
18.50/18.81	(define @t192 () (tptp.add @t76 @t165))
18.50/18.81	(define @t193 () (tptp.in @t74 @t192))
18.50/18.81	(define @t194 () (= @t74 @t76))
18.50/18.81	(define @t195 () (or @t188 @t194))
18.50/18.81	(define @t196 () (= @t195 @t193))
18.50/18.81	(define @t197 () (= @t71 @t192))
18.50/18.81	(define @t198 () (or @t86 @t197))
18.50/18.81	(define @t199 () (= @t193 @t191))
18.50/18.81	(define @t200 () (= @t188 @t186))
18.50/18.81	(define @t201 () (not @t188))
18.50/18.81	(define @t202 () (@list @t116))
18.50/18.81	(define @t203 () (@list @t181))
18.50/18.81	(define @t204 () (= @t182 0))
18.50/18.81	(define @t205 () (>= @t182 0))
18.50/18.81	(define @t206 () (not @t205))
18.50/18.81	(define @t207 () (not @t186))
18.50/18.81	(define @t208 () (not @t170))
18.50/18.81	(define @t209 () (not @t204))
18.50/18.81	(define @t210 () (not @t73))
18.50/18.81	(define @t211 () (< @t72 3))
18.50/18.81	(define @t212 () (not true))
18.50/18.81	(define @t213 () (>= 0 0))
18.50/18.81	(define @t214 () (+ 3 @t114 @t114 @t114))
18.50/18.81	(define @t215 () (* -1 @t182))
18.50/18.81	(define @t216 () (+ (* -1 @t72) @t166))
18.50/18.81	(define @t217 () (* -1 @t166))
18.50/18.81	(define @t218 () (+ @t217 @t182))
18.50/18.81	(define @t219 () (+ @t72 @t217))
18.50/18.81	(define @t220 () (* -1 @t219))
18.50/18.81	(define @t221 () (+ @t166 @t215))
18.50/18.81	(define @t222 () (* -1 @t221))
18.50/18.81	(define @t223 () (+ @t72 @t222 @t220 @t215))
18.50/18.81	(define @t224 () (>= @t223 @t214))
18.50/18.81	(define @t225 () (>= @t182 1))
18.50/18.81	(define @t226 () (= @t219 1))
18.50/18.81	(define @t227 () (= (* -1 (- @t219 1)) (* -1 @t168)))
18.50/18.81	(define @t228 () (= @t226 @t170))
18.50/18.81	(define @t229 () (= @t221 1))
18.50/18.81	(define @t230 () (= (* -1 (- @t221 1)) (* -1 @t184)))
18.50/18.81	(define @t231 () (= @t229 @t186))
18.50/18.81	(define @t232 () (and @t205 @t209 @t170 @t186 @t210))
18.50/18.81	(define @t233 () (+ @t114 0))
18.50/18.81	(define @t234 () (+ @t215 @t182))
18.50/18.81	(define @t235 () (not @t225))
18.50/18.81	(define @t236 () (= @t117 0))
18.50/18.81	(define @t237 () (>= @t117 0))
18.50/18.81	(define @t238 () (not @t237))
18.50/18.81	(define @t239 () (not @t122))
18.50/18.81	(define @t240 () (not @t177))
18.50/18.81	(define @t241 () (not @t236))
18.50/18.81	(define @t242 () (* -1 @t117))
18.50/18.81	(define @t243 () (+ @t119 @t242))
18.50/18.81	(define @t244 () (= @t243 1))
18.50/18.81	(define @t245 () (+ @t114 1 @t114 1 1 @t114))
18.50/18.81	(define @t246 () (* -1 @t119))
18.50/18.81	(define @t247 () (* 0 @t72))
18.50/18.81	(define @t248 () (* 0 @t117))
18.50/18.81	(define @t249 () (+ @t215 @t248 @t182 @t119 @t217 @t246 @t166 @t247))
18.50/18.81	(define @t250 () (+ @t72 @t246))
18.50/18.81	(define @t251 () (+ (* -1 @t243) @t221 (* -1 @t250) @t219 @t182 @t242))
18.50/18.81	(define @t252 () (>= @t251 @t245))
18.50/18.81	(define @t253 () (= @t250 1))
18.50/18.81	(define @t254 () (and @t237 @t241 @t235 @t170 @t177 @t186 @t122))
18.50/18.81	(define @t255 () (= tptp.empty @t116))
18.50/18.81	(define @t256 () (= @t236 @t255))
18.50/18.81	(define @t257 () (tptp.add @t74 @t181))
18.50/18.81	(define @t258 () (= @t165 @t257))
18.50/18.81	(define @t259 () (or @t201 @t258))
18.50/18.81	(define @t260 () (tptp.in @t76 @t257))
18.50/18.81	(define @t261 () (not @t260))
18.50/18.81	(define @t262 () (not @t258))
18.50/18.81	(define @t263 () (tptp.in @t76 @t165))
18.50/18.81	(define @t264 () (not @t263))
18.50/18.81	(define @t265 () (and @t264 @t258))
18.50/18.81	(define @t266 () (tptp.in @t76 @t181))
18.50/18.81	(define @t267 () (or @t266 @t135))
18.50/18.81	(define @t268 () (= @t267 @t260))
18.50/18.81	(define @t269 () (= tptp.empty @t181))
18.50/18.81	(define @t270 () (= @t204 @t269))
18.50/18.81	(define @t271 () (not @t269))
18.50/18.81	(define @t272 () (not @t255))
18.50/18.81	(define @t273 () (not @t151))
18.50/18.81	(define @t274 () (not @t266))
18.50/18.81	(define @t275 () (and @t274 @t269 @t255 @t151))
18.50/18.81	(define @t276 () (+ @t80 @t75))
18.50/18.81	(define @t277 () (= @t276 0))
18.50/18.81	(define @t278 () (+ 0 @t114 @t114))
18.50/18.81	(define @t279 () (* 0 @t80))
18.50/18.81	(define @t280 () (* 0 @t74))
18.50/18.81	(define @t281 () (+ @t280 @t76 @t87 @t279))
18.50/18.81	(define @t282 () (+ @t276 @t162 @t143))
18.50/18.81	(define @t283 () (and @t78 @t89 @t109))
18.50/18.81	(assume @p1 (forall (@list @t1) (not (tptp.in @t1 tptp.empty))))
18.50/18.81	(assume @p2 @t5)
18.50/18.81	(assume @p3 (forall (@list @t7 @t6 @t8) (= (tptp.in @t7 (tptp.remove @t8 @t6)) (and (not (= @t7 @t8)) (tptp.in @t7 @t6)))))
18.50/18.81	(assume @p4 (forall (@list @t10 @t9) (tptp.in @t10 (tptp.add @t10 @t9))))
18.50/18.81	(assume @p5 (forall (@list @t12 @t11) (not (tptp.in @t12 (tptp.remove @t12 @t11)))))
18.50/18.81	(assume @p6 @t22)
18.50/18.81	(assume @p7 (forall (@list @t24 @t23) (= (= (tptp.count (tptp.remove @t24 @t23)) (tptp.count @t23)) (not (tptp.in @t24 @t23)))))
18.50/18.81	(assume @p8 (forall (@list @t25) (>= (tptp.count @t25) 0)))
18.50/18.81	(assume @p9 (forall (@list @t27 @t26) (= (tptp.in @t27 @t26) (= (tptp.count (tptp.add @t27 @t26)) (tptp.count @t26)))))
18.50/18.81	(assume @p10 @t31)
18.50/18.81	(assume @p11 @t36)
18.50/18.81	(assume @p12 (forall (@list @t38 @t37) (= (not (tptp.in @t38 @t37)) (= (tptp.count (tptp.add @t38 @t37)) (+ (tptp.count @t37) 1)))))
18.50/18.81	(assume @p13 @t49)
18.50/18.81	(assume @p14 true)
18.50/18.81	(step @p15 :rule aci_norm :args ((= (or (or @t59 @t56 @t55 @t54 @t53) @t50) @t60)))
18.50/18.81	(step @p16 :rule refl :args (@t50))
18.50/18.81	(step @p17 :rule bool-double-not-elim :args (@t53))
18.50/18.81	(step @p18 :rule refl :args (@t54))
18.50/18.81	(step @p19 :rule refl :args (@t55))
18.50/18.81	(step @p20 :rule refl :args (@t56))
18.50/18.81	(step @p21 :rule refl :args (@t59))
18.50/18.81	(step @p22 :rule nary_cong :premises (@p21 @p20 @p19 @p18 @p17) :args (@t63))
18.50/18.81	(step @p23 :rule aci_norm :args ((= (or @t59 (or @t56 (or @t55 (or @t54 @t62)))) @t63)))
18.50/18.81	(step @p24 :rule trans :premises (@p23 @p22))
18.50/18.81	(step @p25 :rule bool-and-de-morgan :args (@t42 @t61 true))
18.50/18.81	(step @p26 :rule nary_cong :premises (@p19 @p25) :args ((or @t55 (not (and @t42 @t61)))))
18.50/18.81	(step @p27 :rule bool-and-de-morgan :args (@t43 @t42 (and @t61)))
18.50/18.81	(step @p28 :rule trans :premises (@p27 @p26))
18.50/18.81	(step @p29 :rule nary_cong :premises (@p20 @p28) :args ((or @t56 (not (and @t43 @t42 @t61)))))
18.50/18.81	(step @p30 :rule bool-and-de-morgan :args (@t44 @t43 (and @t42 @t61)))
18.50/18.81	(step @p31 :rule trans :premises (@p30 @p29))
18.50/18.81	(step @p32 :rule nary_cong :premises (@p21 @p31) :args ((or @t59 (not (and @t44 @t43 @t42 @t61)))))
18.50/18.81	(step @p33 :rule bool-and-de-morgan :args (@t58 @t44 (and @t43 @t42 @t61)))
18.50/18.81	(step @p34 :rule trans :premises (@p33 @p32))
18.50/18.81	(step @p35 :rule trans :premises (@p34 @p24))
18.50/18.81	(step @p36 :rule nary_cong :premises (@p35 @p16) :args ((or (not @t64) @t50)))
18.50/18.81	(step @p37 :rule trans :premises (@p36 @p15))
18.50/18.81	(step @p38 :rule bool-impl-elim :args (@t64 @t50))
18.50/18.81	(step @p39 :rule trans :premises (@p38 @p37))
18.50/18.81	(step @p40 :rule cong :premises (@p39) :args ((forall @t47 (=> @t64 @t50))))
18.50/18.81	(step @p41 :rule bool-double-not-elim :args (@t50))
18.50/18.81	(step @p42 :rule evaluate :args (@t65))
18.50/18.81	(step @p43 :rule refl :args (@t40))
18.50/18.81	(step @p44 :rule cong :premises (@p43 @p42) :args (@t66))
18.50/18.81	(step @p45 :rule cong :premises (@p44) :args ((not @t66)))
18.50/18.81	(step @p46 :rule arith-leq-norm :args (@t40 2))
18.50/18.81	(step @p47 :rule trans :premises (@p46 @p45))
18.50/18.81	(step @p48 :rule cong :premises (@p47) :args ((not (<= @t40 2))))
18.50/18.81	(step @p49 :rule trans :premises (@p48 @p41))
18.50/18.81	(step @p50 :rule arith-elim-leq :args (@t40 2))
18.50/18.81	(step @p51 :rule symm :premises (@p50))
18.50/18.81	(step @p52 :rule cong :premises (@p51) :args ((not (>= 2 @t40))))
18.50/18.81	(step @p53 :rule arith-elim-gt :args (@t40 2))
18.50/18.81	(step @p54 :rule trans :premises (@p53 @p52))
18.50/18.81	(step @p55 :rule trans :premises (@p54 @p49))
18.50/18.81	(step @p56 :rule arith_poly_norm :args ((= (* 1 (- @t12 @t41)) (* 1 (- @t52 0)))))
18.50/18.81	(step @p57 :rule arith_poly_norm_rel :premises (@p56) :args ((= @t67 @t53)))
18.50/18.81	(step @p58 :rule arith-elim-leq :args (@t41 @t12))
18.50/18.81	(step @p59 :rule trans :premises (@p58 @p57))
18.50/18.81	(step @p60 :rule cong :premises (@p59) :args ((not (<= @t41 @t12))))
18.50/18.81	(step @p61 :rule symm :premises (@p58))
18.50/18.81	(step @p62 :rule cong :premises (@p61) :args ((not @t67)))
18.50/18.81	(step @p63 :rule arith-elim-gt :args (@t41 @t12))
18.50/18.81	(step @p64 :rule trans :premises (@p63 @p62))
18.50/18.81	(step @p65 :rule trans :premises (@p64 @p60))
18.50/18.81	(step @p66 :rule refl :args (@t42))
18.50/18.81	(step @p67 :rule refl :args (@t43))
18.50/18.81	(step @p68 :rule refl :args (@t44))
18.50/18.81	(step @p69 :rule bool-double-not-elim :args (@t58))
18.50/18.81	(step @p70 :rule arith_poly_norm :args ((= (* -1 (- @t10 @t68)) (* -1 (- @t57 1)))))
18.50/18.81	(step @p71 :rule arith_poly_norm_rel :premises (@p70) :args ((= @t69 @t58)))
18.50/18.81	(step @p72 :rule cong :premises (@p71) :args ((not @t69)))
18.50/18.81	(step @p73 :rule arith-leq-norm :args (@t10 @t41))
18.50/18.81	(step @p74 :rule trans :premises (@p73 @p72))
18.50/18.81	(step @p75 :rule cong :premises (@p74) :args ((not (<= @t10 @t41))))
18.50/18.81	(step @p76 :rule trans :premises (@p75 @p69))
18.50/18.81	(step @p77 :rule arith-elim-leq :args (@t10 @t41))
18.50/18.81	(step @p78 :rule symm :premises (@p77))
18.50/18.81	(step @p79 :rule cong :premises (@p78) :args ((not (>= @t41 @t10))))
18.50/18.81	(step @p80 :rule arith-elim-gt :args (@t10 @t41))
18.50/18.81	(step @p81 :rule trans :premises (@p80 @p79))
18.50/18.81	(step @p82 :rule trans :premises (@p81 @p76))
18.50/18.81	(step @p83 :rule nary_cong :premises (@p82 @p68 @p67 @p66 @p65) :args (@t45))
18.50/18.81	(step @p84 :rule cong :premises (@p83 @p55) :args (@t46))
18.50/18.81	(step @p85 :rule cong :premises (@p84) :args (@t48))
18.50/18.81	(step @p86 :rule trans :premises (@p85 @p40))
18.50/18.81	(step @p87 :rule cong :premises (@p86) :args (@t49))
18.50/18.81	(step @p88 :rule eq_resolve :premises (@p13 @p87))
18.50/18.81	(step @p89 :rule refl :args (@t92))
18.50/18.81	(step @p90 :rule bool-double-not-elim :args (@t70))
18.50/18.81	(step @p91 :rule nary_cong :premises (@p90 @p89) :args ((or (not @t93) @t92)))
18.50/18.81	(step @p92 :rule refl :args (@t73))
18.50/18.81	(step @p93 :rule arith_poly_norm :args ((= (* -1 (- 1 @t95)) (* -1 (- @t94 0)))))
18.50/18.81	(step @p94 :rule arith_poly_norm_rel :premises (@p93) :args ((= (>= 1 @t95) (>= @t94 0))))
18.50/18.81	(step @p95 :rule arith-geq-tighten :args (@t77 1))
18.50/18.81	(step @p96 :rule trans :premises (@p95 @p94))
18.50/18.81	(step @p97 :rule symm :premises (@p96))
18.50/18.81	(step @p98 :rule refl :args (0))
18.50/18.81	(step @p99 :rule arith_poly_norm :args ((= @t96 @t94)))
18.50/18.81	(step @p100 :rule cong :premises (@p99 @p98) :args (@t97))
18.50/18.81	(step @p101 :rule trans :premises (@p100 @p97))
18.50/18.81	(step @p102 :rule refl :args (@t82))
18.50/18.81	(step @p103 :rule refl :args (@t84))
18.50/18.81	(step @p104 :rule refl :args (@t86))
18.50/18.81	(step @p105 :rule refl :args (@t90))
18.50/18.81	(step @p106 :rule nary_cong :premises (@p105 @p104 @p103 @p102 @p101 @p92) :args (@t98))
18.50/18.81	(step @p107 :rule cong :premises (@p106) :args (@t99))
18.50/18.81	(step @p108 :rule refl :args (@t93))
18.50/18.81	(step @p109 :rule cong :premises (@p108 @p107) :args ((=> @t93 @t99)))
18.50/18.81	(assume-push @p742 @t93)
18.50/18.81	(step @p111 :rule skolemize :premises (@p88))
18.50/18.81	(step-pop @p742 :rule scope :premises (@p111))
18.50/18.81	(step @p112 :rule process_scope :premises (@p742) :args (@t99))
18.50/18.81	(step @p114 :rule eq_resolve :premises (@p112 @p109))
18.50/18.81	(step @p115 :rule implies_elim :premises (@p114))
18.50/18.81	(step @p116 :rule eq_resolve :premises (@p115 @p91))
18.50/18.81	(step @p117 :rule chain_resolution :premises (@p116 @p88) :args (@t100 (@list @t70)))
18.50/18.81	(step @p118 :rule bool-double-not-elim :args (@t89))
18.50/18.81	(step @p119 :rule refl :args (@t91))
18.50/18.81	(step @p120 :rule nary_cong :premises (@p119 @p118) :args ((or @t91 (not @t90))))
18.50/18.81	(step @p121 :rule cnf_or_neg :args (@t91 0))
18.50/18.81	(step @p122 :rule eq_resolve :premises (@p121 @p120))
18.50/18.81	(step @p123 :rule reordering :premises (@p122) :args ((or @t89 @t91)))
18.50/18.81	(step @p124 :rule chain_resolution :premises (@p123 @p117) :args (@t100 @t101))
18.50/18.81	(step @p125 :rule bool-double-not-elim :args (@t78))
18.50/18.81	(step @p126 :rule nary_cong :premises (@p119 @p125) :args ((or @t91 (not @t79))))
18.50/18.81	(step @p127 :rule cnf_or_neg :args (@t91 4))
18.50/18.81	(step @p128 :rule eq_resolve :premises (@p127 @p126))
18.50/18.81	(step @p129 :rule reordering :premises (@p128) :args ((or @t78 @t91)))
18.50/18.81	(step @p130 :rule chain_resolution :premises (@p129 @p117) :args (@t100 @t101))
18.50/18.81	(step @p131 :rule instantiate :premises (@p2) :args ((@list @t80 @t102 @t74)))
18.50/18.81	(step @p132 :rule bool-double-not-elim :args (@t81))
18.50/18.81	(step @p133 :rule nary_cong :premises (@p119 @p132) :args ((or @t91 (not @t82))))
18.50/18.81	(step @p134 :rule cnf_or_neg :args (@t91 3))
18.50/18.81	(step @p135 :rule eq_resolve :premises (@p134 @p133))
18.50/18.81	(step @p136 :rule reordering :premises (@p135) :args ((or @t81 @t91)))
18.50/18.81	(step @p137 :rule chain_resolution :premises (@p136 @p117) :args (@t100 @t101))
18.50/18.81	(step @p138 :rule true_intro :premises (@p137))
18.50/18.81	(step @p139 :rule bool-impl-elim :args (@t35 @t34))
18.50/18.81	(step @p140 :rule cong :premises (@p139) :args (@t36))
18.50/18.81	(step @p141 :rule eq_resolve :premises (@p11 @p140))
18.50/18.81	(step @p142 :rule instantiate :premises (@p141) :args (@t103))
18.50/18.81	(step @p143 :rule bool-double-not-elim :args (@t83))
18.50/18.81	(step @p144 :rule nary_cong :premises (@p119 @p143) :args ((or @t91 (not @t84))))
18.50/18.81	(step @p145 :rule cnf_or_neg :args (@t91 2))
18.50/18.81	(step @p146 :rule eq_resolve :premises (@p145 @p144))
18.50/18.81	(step @p147 :rule reordering :premises (@p146) :args ((or @t83 @t91)))
18.50/18.81	(step @p148 :rule chain_resolution :premises (@p147 @p117) :args (@t100 @t101))
18.50/18.81	(step @p149 :rule cnf_or_pos :args (@t106))
18.50/18.81	(step @p150 :rule reordering :premises (@p149) :args ((or @t84 @t105 (not @t106))))
18.50/18.81	(step @p151 :rule chain_resolution :premises (@p150 @p148 @p142) :args (@t107 (@list @t83 @t106)))
18.50/18.81	(step @p152 :rule symm :premises (@p151))
18.50/18.81	(step @p153 :rule refl :args (@t80))
18.50/18.81	(step @p154 :rule cong :premises (@p153 @p152) :args (@t108))
18.50/18.81	(step @p155 :rule trans :premises (@p154 @p138))
18.50/18.81	(step @p156 :rule true_elim :premises (@p155))
18.50/18.81	(step @p157 :rule cnf_equiv_pos2 :args (@t112))
18.50/18.81	(step @p158 :rule reordering :premises (@p157) :args ((or @t111 (not @t108) (not @t112))))
18.50/18.81	(step @p159 :rule chain_resolution :premises (@p158 @p156 @p131) :args (@t107 (@list @t108 @t112)))
18.50/18.81	(step @p160 :rule arith_poly_norm :args ((= (+ @t14 -1) @t113)))
18.50/18.81	(step @p161 :rule evaluate :args (@t114))
18.50/18.81	(step @p162 :rule refl :args (@t14))
18.50/18.81	(step @p163 :rule nary_cong :premises (@p162 @p161) :args (@t115))
18.50/18.81	(step @p164 :rule trans :premises (@p163 @p160))
18.50/18.81	(step @p165 :rule arith_poly_norm :args ((= @t15 @t115)))
18.50/18.81	(step @p166 :rule trans :premises (@p165 @p164))
18.50/18.81	(step @p167 :rule refl :args (@t17))
18.50/18.81	(step @p168 :rule cong :premises (@p167 @p166) :args (@t18))
18.50/18.81	(step @p169 :rule refl :args (@t19))
18.50/18.81	(step @p170 :rule cong :premises (@p169 @p168) :args (@t20))
18.50/18.81	(step @p171 :rule cong :premises (@p170) :args (@t22))
18.50/18.81	(step @p172 :rule eq_resolve :premises (@p6 @p171))
18.50/18.81	(step @p173 :rule arith_poly_norm :args ((= (* -1 (- @t117 @t121)) (* 1 @t120))))
18.50/18.81	(step @p174 :rule arith_poly_norm_rel :premises (@p173) :args ((= @t123 @t122)))
18.50/18.81	(step @p175 :rule refl :args (@t110))
18.50/18.81	(step @p176 :rule cong :premises (@p175 @p174) :args (@t124))
18.50/18.81	(step @p177 :rule refl :args (@t125))
18.50/18.81	(step @p178 :rule cong :premises (@p177 @p176) :args ((=> @t125 @t124)))
18.50/18.81	(assume-push @p744 @t125)
18.50/18.81	(step @p180 :rule instantiate :premises (@p172) :args (@t126))
18.50/18.81	(step-pop @p744 :rule scope :premises (@p180))
18.50/18.81	(step @p181 :rule process_scope :premises (@p744) :args (@t124))
18.50/18.81	(step @p183 :rule eq_resolve :premises (@p181 @p178))
18.50/18.81	(step @p184 :rule implies_elim :premises (@p183))
18.50/18.81	(step @p185 :rule chain_resolution :premises (@p184 @p172) :args (@t127 @t128))
18.50/18.81	(step @p186 :rule cnf_equiv_pos1 :args (@t129))
18.50/18.81	(step @p187 :rule reordering :premises (@p186) :args ((or @t130 @t122 (not @t129))))
18.50/18.81	(step @p188 :rule instantiate :premises (@p141) :args (@t126))
18.50/18.81	(step @p189 :rule cnf_or_pos :args (@t133))
18.50/18.81	(step @p190 :rule reordering :premises (@p189) :args ((or @t130 @t132 (not @t133))))
18.50/18.81	(step @p191 :rule instantiate :premises (@p2) :args ((@list @t76 @t102 @t74)))
18.50/18.81	(step @p192 :rule bool-double-not-elim :args (@t85))
18.50/18.81	(step @p193 :rule nary_cong :premises (@p119 @p192) :args ((or @t91 (not @t86))))
18.50/18.81	(step @p194 :rule cnf_or_neg :args (@t91 1))
18.50/18.81	(step @p195 :rule eq_resolve :premises (@p194 @p193))
18.50/18.81	(step @p196 :rule reordering :premises (@p195) :args ((or @t85 @t91)))
18.50/18.81	(step @p197 :rule chain_resolution :premises (@p196 @p117) :args (@t100 @t101))
18.50/18.81	(step @p198 :rule true_intro :premises (@p197))
18.50/18.81	(step @p199 :rule refl :args (@t76))
18.50/18.81	(step @p200 :rule cong :premises (@p199 @p152) :args (@t134))
18.50/18.81	(step @p201 :rule trans :premises (@p200 @p198))
18.50/18.81	(step @p202 :rule true_elim :premises (@p201))
18.50/18.81	(step @p203 :rule cnf_equiv_pos2 :args (@t138))
18.50/18.81	(step @p204 :rule reordering :premises (@p203) :args ((or @t137 (not @t134) (not @t138))))
18.50/18.81	(step @p205 :rule chain_resolution :premises (@p204 @p202 @p191) :args (@t107 (@list @t134 @t138)))
18.50/18.81	(assume-push @p746 @t78)
18.50/18.81	(assume-push @p747 @t78)
18.50/18.81	(assume-push @p748 @t135)
18.50/18.81	(step @p209 :rule evaluate :args (@t139))
18.50/18.81	(step @p210 :rule refl :args (0))
18.50/18.81	(step @p211 :rule arith_poly_norm :args ((= @t141 -1)))
18.50/18.81	(step @p212 :rule cong :premises (@p211 @p210) :args ((>= @t141 0)))
18.50/18.81	(step @p213 :rule trans :premises (@p212 @p209))
18.50/18.81	(step @p214 :rule arith-geq-norm1-int :args (@t140 @t74))
18.50/18.81	(step @p215 :rule trans :premises (@p214 @p213))
18.50/18.81	(step @p216 :rule arith-elim-leq :args (@t74 @t140))
18.50/18.81	(step @p217 :rule trans :premises (@p216 @p215))
18.50/18.81	(step @p218 :rule arith_poly_norm :args ((= (+ @t74 -1) @t140)))
18.50/18.81	(step @p219 :rule refl :args (@t74))
18.50/18.81	(step @p220 :rule nary_cong :premises (@p219 @p161) :args (@t142))
18.50/18.81	(step @p221 :rule trans :premises (@p220 @p218))
18.50/18.81	(step @p222 :rule arith_poly_norm :args ((= (+ @t76 @t94) @t74)))
18.50/18.81	(step @p223 :rule arith_poly_norm :args ((= @t143 @t94)))
18.50/18.81	(step @p224 :rule nary_cong :premises (@p199 @p223) :args (@t144))
18.50/18.81	(step @p225 :rule trans :premises (@p224 @p222))
18.50/18.81	(step @p226 :rule cong :premises (@p225 @p221) :args ((<= @t144 @t142)))
18.50/18.81	(step @p227 :rule trans :premises (@p226 @p217))
18.50/18.81	(step @p228 :rule arith_mult_neg :args (-1 @t78))
18.50/18.81	(step @p229 :rule evaluate :args (@t145))
18.50/18.81	(step @p230 :rule true_elim :premises (@p229))
18.50/18.81	(step @p231 :rule and_intro :premises (@p230 @p130))
18.50/18.81	(step @p232 :rule modus_ponens :premises (@p231 @p228))
18.50/18.81	(step @p233 :rule arith_sum_ub :premises (@p748 @p232))
18.50/18.81	(step @p234 false :rule eq_resolve :premises (@p233 @p227))
18.50/18.81	(step-pop @p748 :rule scope :premises (@p234))
18.50/18.81	(step @p235 :rule process_scope :premises (@p748) :args (false))
18.50/18.81	(step-pop @p749 :rule scope :premises (@p235))
18.50/18.81	(step @p237 :rule process_scope :premises (@p749) :args (@t146))
18.50/18.81	(step @p239 :rule modus_ponens :premises (@p130 @p237))
18.50/18.81	(step-pop @p750 :rule scope :premises (@p239))
18.50/18.81	(step @p240 :rule process_scope :premises (@p750) :args (@t146))
18.50/18.81	(step @p242 :rule implies_elim :premises (@p240))
18.50/18.81	(step @p243 :rule chain_resolution :premises (@p242 @p130) :args (@t127 (@list @t78)))
18.50/18.81	(step @p244 :rule cnf_or_pos :args (@t137))
18.50/18.81	(step @p245 :rule reordering :premises (@p244) :args ((or @t135 @t136 (not @t137))))
18.50/18.81	(step @p246 :rule chain_resolution :premises (@p245 @p243 @p205) :args (@t147 (@list @t135 @t137)))
18.50/18.81	(assume-push @p752 @t136)
18.50/18.81	(assume-push @p753 @t132)
18.50/18.81	(assume-push @p754 @t136)
18.50/18.81	(assume-push @p755 @t132)
18.50/18.81	(step @p251 :rule true_intro :premises (@p752))
18.50/18.81	(step @p252 :rule symm :premises (@p753))
18.50/18.81	(step @p253 :rule cong :premises (@p199 @p252) :args (@t148))
18.50/18.81	(step @p254 :rule trans :premises (@p253 @p251))
18.50/18.81	(step @p255 :rule true_elim :premises (@p254))
18.50/18.81	(step-pop @p755 :rule scope :premises (@p255))
18.50/18.81	(step-pop @p756 :rule scope :premises (@p755))
18.50/18.81	(step @p256 :rule process_scope :premises (@p756) :args (@t148))
18.50/18.81	(step @p259 :rule and_intro :premises (@p752 @p753))
18.50/18.81	(step @p260 :rule modus_ponens :premises (@p259 @p256))
18.50/18.81	(step-pop @p757 :rule scope :premises (@p260))
18.50/18.81	(step-pop @p758 :rule scope :premises (@p757))
18.50/18.81	(step @p261 :rule process_scope :premises (@p758) :args (@t148))
18.50/18.81	(step @p264 :rule implies_elim :premises (@p261))
18.50/18.81	(step @p265 :rule cnf_and_neg :args (@t149))
18.50/18.81	(step @p266 :rule resolution :premises (@p265 @p264) :args (true @t149))
18.50/18.81	(step @p267 :rule eq-symm :args (@t152 @t148))
18.50/18.81	(step @p268 :rule refl :args (@t148))
18.50/18.81	(step @p269 :rule arith_poly_norm :args ((= (* 1 (- @t76 @t80)) (* -1 (- @t80 @t76)))))
18.50/18.81	(step @p270 :rule arith_poly_norm_rel :premises (@p269) :args ((= @t153 @t150)))
18.50/18.81	(step @p271 :rule refl :args (@t151))
18.50/18.81	(step @p272 :rule nary_cong :premises (@p271 @p270) :args (@t154))
18.50/18.81	(step @p273 :rule cong :premises (@p272 @p268) :args (@t155))
18.50/18.81	(step @p274 :rule trans :premises (@p273 @p267))
18.50/18.81	(step @p275 :rule refl :args (@t5))
18.50/18.81	(step @p276 :rule cong :premises (@p275 @p274) :args ((=> @t5 @t155)))
18.50/18.81	(assume-push @p760 @t5)
18.50/18.81	(step @p278 :rule instantiate :premises (@p2) :args ((@list @t76 @t116 @t80)))
18.50/18.81	(step-pop @p760 :rule scope :premises (@p278))
18.50/18.81	(step @p279 :rule process_scope :premises (@p760) :args (@t155))
18.50/18.81	(step @p281 :rule eq_resolve :premises (@p279 @p276))
18.50/18.81	(step @p282 :rule implies_elim :premises (@p281))
18.50/18.81	(step @p283 :rule chain_resolution :premises (@p282 @p2) :args (@t127 @t156))
18.50/18.81	(step @p284 :rule cnf_equiv_pos1 :args (@t157))
18.50/18.81	(step @p285 :rule reordering :premises (@p284) :args ((or @t152 (not @t148) (not @t157))))
18.50/18.81	(assume-push @p762 @t89)
18.50/18.81	(assume-push @p763 @t89)
18.50/18.81	(assume-push @p764 @t150)
18.50/18.81	(step @p209 :rule evaluate :args (@t139))
18.50/18.81	(step @p210 :rule refl :args (0))
18.50/18.81	(step @p289 :rule arith_poly_norm :args ((= @t159 -1)))
18.50/18.81	(step @p290 :rule cong :premises (@p289 @p210) :args ((>= @t159 0)))
18.50/18.81	(step @p291 :rule trans :premises (@p290 @p209))
18.50/18.81	(step @p292 :rule arith-geq-norm1-int :args (@t158 @t76))
18.50/18.81	(step @p293 :rule trans :premises (@p292 @p291))
18.50/18.81	(step @p294 :rule arith-elim-leq :args (@t76 @t158))
18.50/18.81	(step @p295 :rule trans :premises (@p294 @p293))
18.50/18.81	(step @p296 :rule arith_poly_norm :args ((= (+ @t76 -1) @t158)))
18.50/18.81	(step @p297 :rule nary_cong :premises (@p199 @p161) :args (@t160))
18.50/18.81	(step @p298 :rule trans :premises (@p297 @p296))
18.50/18.81	(step @p299 :rule arith_poly_norm :args ((= (+ @t80 @t161) @t76)))
18.50/18.81	(step @p300 :rule arith_poly_norm :args ((= @t162 @t161)))
18.50/18.81	(step @p301 :rule nary_cong :premises (@p153 @p300) :args (@t163))
18.50/18.81	(step @p302 :rule trans :premises (@p301 @p299))
18.50/18.81	(step @p303 :rule cong :premises (@p302 @p298) :args ((<= @t163 @t160)))
18.50/18.81	(step @p304 :rule trans :premises (@p303 @p295))
18.50/18.81	(step @p305 :rule arith_mult_neg :args (-1 @t89))
18.50/18.81	(step @p229 :rule evaluate :args (@t145))
18.50/18.81	(step @p230 :rule true_elim :premises (@p229))
18.50/18.81	(step @p306 :rule and_intro :premises (@p230 @p124))
18.50/18.81	(step @p307 :rule modus_ponens :premises (@p306 @p305))
18.50/18.81	(step @p308 :rule arith_sum_ub :premises (@p764 @p307))
18.50/18.81	(step @p309 false :rule eq_resolve :premises (@p308 @p304))
18.50/18.81	(step-pop @p764 :rule scope :premises (@p309))
18.50/18.81	(step @p310 :rule process_scope :premises (@p764) :args (false))
18.50/18.81	(step-pop @p765 :rule scope :premises (@p310))
18.50/18.81	(step @p312 :rule process_scope :premises (@p765) :args (@t164))
18.50/18.81	(step @p314 :rule modus_ponens :premises (@p124 @p312))
18.50/18.81	(step-pop @p766 :rule scope :premises (@p314))
18.50/18.81	(step @p315 :rule process_scope :premises (@p766) :args (@t164))
18.50/18.81	(step @p317 :rule implies_elim :premises (@p315))
18.50/18.81	(step @p318 :rule chain_resolution :premises (@p317 @p124) :args (@t127 (@list @t89)))
18.50/18.81	(step @p319 :rule cnf_or_pos :args (@t152))
18.50/18.81	(step @p320 :rule reordering :premises (@p319) :args ((or @t150 @t151 (not @t152))))
18.50/18.81	(step @p321 :rule arith_poly_norm :args ((= (* -1 (- @t166 @t169)) (* 1 @t168))))
18.50/18.81	(step @p322 :rule arith_poly_norm_rel :premises (@p321) :args ((= @t171 @t170)))
18.50/18.81	(step @p323 :rule refl :args (@t85))
18.50/18.81	(step @p324 :rule cong :premises (@p323 @p322) :args (@t172))
18.50/18.81	(step @p325 :rule cong :premises (@p177 @p324) :args ((=> @t125 @t172)))
18.50/18.81	(assume-push @p768 @t125)
18.50/18.81	(step @p327 :rule instantiate :premises (@p172) :args (@t173))
18.50/18.81	(step-pop @p768 :rule scope :premises (@p327))
18.50/18.81	(step @p328 :rule process_scope :premises (@p768) :args (@t172))
18.50/18.81	(step @p330 :rule eq_resolve :premises (@p328 @p325))
18.50/18.81	(step @p331 :rule implies_elim :premises (@p330))
18.50/18.81	(step @p332 :rule chain_resolution :premises (@p331 @p172) :args (@t127 @t128))
18.50/18.81	(step @p333 :rule cnf_equiv_pos1 :args (@t174))
18.50/18.81	(step @p334 :rule reordering :premises (@p333) :args ((or @t86 @t170 (not @t174))))
18.50/18.81	(step @p335 :rule chain_resolution :premises (@p334 @p197 @p332) :args (@t107 (@list @t85 @t174)))
18.50/18.81	(step @p336 :rule arith_poly_norm :args ((= (* -1 (- @t119 @t169)) (* 1 @t176))))
18.50/18.81	(step @p337 :rule arith_poly_norm_rel :premises (@p336) :args ((= @t178 @t177)))
18.50/18.81	(step @p338 :rule refl :args (@t83))
18.50/18.81	(step @p339 :rule cong :premises (@p338 @p337) :args (@t179))
18.50/18.81	(step @p340 :rule cong :premises (@p177 @p339) :args ((=> @t125 @t179)))
18.50/18.81	(assume-push @p770 @t125)
18.50/18.81	(step @p342 :rule instantiate :premises (@p172) :args (@t103))
18.50/18.81	(step-pop @p770 :rule scope :premises (@p342))
18.50/18.81	(step @p343 :rule process_scope :premises (@p770) :args (@t179))
18.50/18.81	(step @p345 :rule eq_resolve :premises (@p343 @p340))
18.50/18.81	(step @p346 :rule implies_elim :premises (@p345))
18.50/18.81	(step @p347 :rule chain_resolution :premises (@p346 @p172) :args (@t127 @t128))
18.50/18.81	(step @p348 :rule cnf_equiv_pos1 :args (@t180))
18.50/18.81	(step @p349 :rule reordering :premises (@p348) :args ((or @t84 @t177 (not @t180))))
18.50/18.81	(step @p350 :rule chain_resolution :premises (@p349 @p148 @p347) :args (@t107 (@list @t83 @t180)))
18.50/18.81	(step @p351 :rule arith_poly_norm :args ((= (* -1 (- @t182 @t185)) (* 1 @t184))))
18.50/18.81	(step @p352 :rule arith_poly_norm_rel :premises (@p351) :args ((= @t187 @t186)))
18.50/18.81	(step @p353 :rule refl :args (@t188))
18.50/18.81	(step @p354 :rule cong :premises (@p353 @p352) :args (@t189))
18.50/18.81	(step @p355 :rule cong :premises (@p177 @p354) :args ((=> @t125 @t189)))
18.50/18.81	(assume-push @p772 @t125)
18.50/18.81	(step @p357 :rule instantiate :premises (@p172) :args (@t190))
18.50/18.81	(step-pop @p772 :rule scope :premises (@p357))
18.50/18.81	(step @p358 :rule process_scope :premises (@p772) :args (@t189))
18.50/18.81	(step @p360 :rule eq_resolve :premises (@p358 @p355))
18.50/18.81	(step @p361 :rule implies_elim :premises (@p360))
18.50/18.81	(step @p362 :rule chain_resolution :premises (@p361 @p172) :args (@t127 @t128))
18.50/18.81	(step @p363 :rule eq-symm :args (@t191 @t193))
18.50/18.81	(step @p364 :rule refl :args (@t193))
18.50/18.81	(step @p365 :rule arith_poly_norm :args ((= (* 1 (- @t74 @t76)) (* -1 (- @t76 @t74)))))
18.50/18.81	(step @p366 :rule arith_poly_norm_rel :premises (@p365) :args ((= @t194 @t135)))
18.50/18.81	(step @p367 :rule nary_cong :premises (@p353 @p366) :args (@t195))
18.50/18.81	(step @p368 :rule cong :premises (@p367 @p364) :args (@t196))
18.50/18.81	(step @p369 :rule trans :premises (@p368 @p363))
18.50/18.81	(step @p370 :rule cong :premises (@p275 @p369) :args ((=> @t5 @t196)))
18.50/18.81	(assume-push @p774 @t5)
18.50/18.81	(step @p372 :rule instantiate :premises (@p2) :args ((@list @t74 @t165 @t76)))
18.50/18.81	(step-pop @p774 :rule scope :premises (@p372))
18.50/18.81	(step @p373 :rule process_scope :premises (@p774) :args (@t196))
18.50/18.81	(step @p375 :rule eq_resolve :premises (@p373 @p370))
18.50/18.81	(step @p376 :rule implies_elim :premises (@p375))
18.50/18.81	(step @p377 :rule chain_resolution :premises (@p376 @p2) :args (@t127 @t156))
18.50/18.81	(step @p378 :rule true_intro :premises (@p148))
18.50/18.81	(step @p379 :rule instantiate :premises (@p141) :args (@t173))
18.50/18.81	(step @p380 :rule cnf_or_pos :args (@t198))
18.50/18.81	(step @p381 :rule reordering :premises (@p380) :args ((or @t86 @t197 (not @t198))))
18.50/18.81	(step @p382 :rule chain_resolution :premises (@p381 @p197 @p379) :args (@t107 (@list @t85 @t198)))
18.50/18.81	(step @p383 :rule symm :premises (@p382))
18.50/18.81	(step @p219 :rule refl :args (@t74))
18.50/18.81	(step @p384 :rule cong :premises (@p219 @p383) :args (@t193))
18.50/18.81	(step @p385 :rule trans :premises (@p384 @p378))
18.50/18.81	(step @p386 :rule true_elim :premises (@p385))
18.50/18.81	(step @p387 :rule cnf_equiv_pos1 :args (@t199))
18.50/18.81	(step @p388 :rule reordering :premises (@p387) :args ((or @t191 (not @t193) (not @t199))))
18.50/18.81	(step @p389 :rule chain_resolution :premises (@p388 @p386 @p377) :args (@t107 (@list @t193 @t199)))
18.50/18.81	(step @p390 :rule cnf_or_pos :args (@t191))
18.50/18.81	(step @p391 :rule reordering :premises (@p390) :args ((or @t135 @t188 (not @t191))))
18.50/18.81	(step @p392 :rule chain_resolution :premises (@p391 @p243 @p389) :args (@t147 (@list @t135 @t191)))
18.50/18.81	(step @p393 :rule cnf_equiv_pos1 :args (@t200))
18.50/18.81	(step @p394 :rule reordering :premises (@p393) :args ((or @t201 @t186 (not @t200))))
18.50/18.81	(step @p395 :rule chain_resolution :premises (@p394 @p392 @p362) :args (@t107 (@list @t188 @t200)))
18.50/18.81	(step @p396 :rule instantiate :premises (@p8) :args (@t202))
18.50/18.81	(step @p397 :rule instantiate :premises (@p8) :args (@t203))
18.50/18.81	(step @p398 :rule cnf_or_neg :args (@t91 5))
18.50/18.81	(step @p399 :rule chain_resolution :premises (@p398 @p117) :args (@t100 @t101))
18.50/18.81	(step @p400 :rule bool-double-not-elim :args (@t204))
18.50/18.81	(step @p401 :rule refl :args (@t206))
18.50/18.81	(step @p402 :rule refl :args (@t207))
18.50/18.81	(step @p403 :rule refl :args (@t208))
18.50/18.81	(step @p404 :rule bool-double-not-elim :args (@t73))
18.50/18.81	(step @p405 :rule nary_cong :premises (@p404 @p403 @p402 @p401 @p400) :args ((or (not @t210) @t208 @t207 @t206 (not @t209))))
18.50/18.81	(assume-push @p776 @t205)
18.50/18.81	(assume-push @p777 @t209)
18.50/18.81	(assume-push @p778 @t170)
18.50/18.81	(assume-push @p779 @t186)
18.50/18.81	(assume-push @p780 @t210)
18.50/18.81	(step @p411 :rule arith-elim-lt :args (@t72 3))
18.50/18.81	(step @p412 :rule cong :premises (@p411) :args ((not @t211)))
18.50/18.81	(step @p413 :rule trans :premises (@p412 @p404))
18.50/18.81	(step @p414 :rule symm :premises (@p413))
18.50/18.81	(assume-push @p781 @t211)
18.50/18.81	(step @p416 :rule evaluate :args (@t212))
18.50/18.81	(step @p417 :rule evaluate :args (@t213))
18.50/18.81	(step @p418 :rule evaluate :args ((+ 3 -1 -1 -1)))
18.50/18.81	(step @p419 :rule refl :args (3))
18.50/18.81	(step @p420 :rule nary_cong :premises (@p419 @p161 @p161 @p161) :args (@t214))
18.50/18.81	(step @p421 :rule trans :premises (@p420 @p418))
18.50/18.81	(step @p422 :rule arith_poly_norm :args ((= (+ @t72 @t218 @t216 @t215) 0)))
18.50/18.81	(step @p423 :rule refl :args (@t215))
18.50/18.81	(step @p424 :rule arith_poly_norm :args ((= @t220 @t216)))
18.50/18.81	(step @p425 :rule arith_poly_norm :args ((= @t222 @t218)))
18.50/18.81	(step @p426 :rule refl :args (@t72))
18.50/18.81	(step @p427 :rule nary_cong :premises (@p426 @p425 @p424 @p423) :args (@t223))
18.50/18.81	(step @p428 :rule trans :premises (@p427 @p422))
18.50/18.81	(step @p429 :rule cong :premises (@p428 @p421) :args (@t224))
18.50/18.81	(step @p430 :rule trans :premises (@p429 @p417))
18.50/18.81	(step @p431 :rule cong :premises (@p430) :args ((not @t224)))
18.50/18.81	(step @p432 :rule trans :premises (@p431 @p416))
18.50/18.81	(step @p433 :rule arith-elim-lt :args (@t223 @t214))
18.50/18.81	(step @p434 :rule trans :premises (@p433 @p432))
18.50/18.81	(step @p435 :rule arith_mult_neg :args (-1 @t225))
18.50/18.81	(step @p436 :rule arith_trichotomy :premises (@p397 @p777))
18.50/18.81	(step @p437 :rule int_tight_lb :premises (@p436))
18.50/18.81	(step @p229 :rule evaluate :args (@t145))
18.50/18.81	(step @p230 :rule true_elim :premises (@p229))
18.50/18.81	(step @p438 :rule and_intro :premises (@p230 @p437))
18.50/18.81	(step @p439 :rule modus_ponens :premises (@p438 @p435))
18.50/18.81	(step @p440 :rule arith_mult_neg :args (-1 @t226))
18.50/18.81	(step @p441 :rule arith_poly_norm :args (@t227))
18.50/18.81	(step @p442 :rule arith_poly_norm_rel :premises (@p441) :args (@t228))
18.50/18.81	(step @p443 :rule symm :premises (@p442))
18.50/18.81	(step @p444 :rule eq_resolve :premises (@p335 @p443))
18.50/18.81	(step @p445 :rule and_intro :premises (@p230 @p444))
18.50/18.81	(step @p446 :rule modus_ponens :premises (@p445 @p440))
18.50/18.81	(step @p447 :rule arith_mult_neg :args (-1 @t229))
18.50/18.81	(step @p448 :rule arith_poly_norm :args (@t230))
18.50/18.81	(step @p449 :rule arith_poly_norm_rel :premises (@p448) :args (@t231))
18.50/18.81	(step @p450 :rule symm :premises (@p449))
18.50/18.81	(step @p451 :rule eq_resolve :premises (@p779 @p450))
18.50/18.81	(step @p452 :rule and_intro :premises (@p230 @p451))
18.50/18.81	(step @p453 :rule modus_ponens :premises (@p452 @p447))
18.50/18.81	(step @p454 :rule symm :premises (@p411))
18.50/18.81	(step @p455 :rule chain_resolution :premises (@p398 @p117) :args (@t100 @t101))
18.50/18.81	(step @p456 :rule eq_resolve :premises (@p455 @p454))
18.50/18.81	(step @p457 :rule arith_sum_ub :premises (@p456 @p453 @p446 @p439))
18.50/18.81	(step @p458 false :rule eq_resolve :premises (@p457 @p434))
18.50/18.81	(step-pop @p781 :rule scope :premises (@p458))
18.50/18.81	(step @p459 :rule process_scope :premises (@p781) :args (false))
18.50/18.81	(step @p461 :rule eq_resolve :premises (@p459 @p413))
18.50/18.81	(step @p462 :rule eq_resolve :premises (@p461 @p414))
18.50/18.81	(step @p454 :rule symm :premises (@p411))
18.50/18.81	(step @p463 :rule eq_resolve :premises (@p399 @p454))
18.50/18.81	(step @p464 false :rule contra :premises (@p463 @p462))
18.50/18.81	(step-pop @p782 :rule scope :premises (@p464))
18.50/18.81	(step-pop @p783 :rule scope :premises (@p782))
18.50/18.81	(step-pop @p784 :rule scope :premises (@p783))
18.50/18.81	(step-pop @p785 :rule scope :premises (@p784))
18.50/18.81	(step-pop @p786 :rule scope :premises (@p785))
18.50/18.81	(step @p465 :rule process_scope :premises (@p786) :args (false))
18.50/18.81	(assume-push @p788 @t210)
18.50/18.81	(assume-push @p789 @t170)
18.50/18.81	(assume-push @p790 @t186)
18.50/18.81	(assume-push @p791 @t205)
18.50/18.81	(assume-push @p792 @t209)
18.50/18.81	(step @p476 :rule and_intro :premises (@p397 @p792 @p335 @p790 @p399))
18.50/18.81	(step-pop @p792 :rule scope :premises (@p476))
18.50/18.81	(step-pop @p793 :rule scope :premises (@p792))
18.50/18.81	(step-pop @p794 :rule scope :premises (@p793))
18.50/18.81	(step-pop @p795 :rule scope :premises (@p794))
18.50/18.81	(step-pop @p796 :rule scope :premises (@p795))
18.50/18.81	(step @p477 :rule process_scope :premises (@p796) :args (@t232))
18.50/18.81	(step @p483 :rule implies_elim :premises (@p477))
18.50/18.81	(step @p484 :rule resolution :premises (@p483 @p465) :args (true @t232))
18.50/18.81	(step @p485 :rule not_and :premises (@p484))
18.50/18.81	(step @p486 :rule eq_resolve :premises (@p485 @p405))
18.50/18.81	(step @p487 :rule reordering :premises (@p486) :args ((or @t73 @t208 @t207 @t204 @t206)))
18.50/18.81	(step @p488 :rule chain_resolution :premises (@p487 @p399 @p335 @p395 @p397) :args ((@list true false false false) (@list @t73 @t170 @t186 @t205)))
18.50/18.81	(assume-push @p798 @t204)
18.50/18.81	(assume-push @p799 @t204)
18.50/18.81	(step @p491 :rule arith-elim-lt :args (@t182 1))
18.50/18.81	(step @p492 :rule symm :premises (@p491))
18.50/18.81	(assume-push @p800 @t225)
18.50/18.81	(step @p494 :rule evaluate :args ((<= 0 -1)))
18.50/18.81	(step @p495 :rule evaluate :args ((+ -1 0)))
18.50/18.81	(step @p496 :rule nary_cong :premises (@p161 @p98) :args (@t233))
18.50/18.81	(step @p497 :rule trans :premises (@p496 @p495))
18.50/18.81	(step @p498 :rule arith_poly_norm :args ((= @t234 0)))
18.50/18.81	(step @p499 :rule cong :premises (@p498 @p497) :args ((<= @t234 @t233)))
18.50/18.81	(step @p500 :rule trans :premises (@p499 @p494))
18.50/18.81	(step @p435 :rule arith_mult_neg :args (-1 @t225))
18.50/18.81	(step @p229 :rule evaluate :args (@t145))
18.50/18.81	(step @p230 :rule true_elim :premises (@p229))
18.50/18.81	(step @p501 :rule and_intro :premises (@p230 @p800))
18.50/18.81	(step @p502 :rule modus_ponens :premises (@p501 @p435))
18.50/18.81	(step @p503 :rule arith_sum_ub :premises (@p502 @p798))
18.50/18.81	(step @p504 false :rule eq_resolve :premises (@p503 @p500))
18.50/18.81	(step-pop @p800 :rule scope :premises (@p504))
18.50/18.81	(step @p505 :rule process_scope :premises (@p800) :args (false))
18.50/18.81	(step @p507 :rule eq_resolve :premises (@p505 @p492))
18.50/18.81	(step @p508 :rule eq_resolve :premises (@p507 @p491))
18.50/18.81	(step-pop @p801 :rule scope :premises (@p508))
18.50/18.81	(step @p509 :rule process_scope :premises (@p801) :args (@t235))
18.50/18.81	(step @p511 :rule modus_ponens :premises (@p798 @p509))
18.50/18.81	(step-pop @p802 :rule scope :premises (@p511))
18.50/18.81	(step @p512 :rule process_scope :premises (@p802) :args (@t235))
18.50/18.81	(step @p514 :rule implies_elim :premises (@p512))
18.50/18.81	(step @p515 :rule chain_resolution :premises (@p514 @p488) :args (@t127 (@list @t204)))
18.50/18.81	(step @p516 :rule bool-double-not-elim :args (@t225))
18.50/18.81	(step @p517 :rule bool-double-not-elim :args (@t236))
18.50/18.81	(step @p518 :rule refl :args (@t238))
18.50/18.81	(step @p519 :rule refl :args (@t239))
18.50/18.81	(step @p520 :rule refl :args (@t240))
18.50/18.81	(step @p521 :rule nary_cong :premises (@p403 @p520 @p519 @p402 @p518 @p517 @p516) :args ((or @t208 @t240 @t239 @t207 @t238 (not @t241) (not @t235))))
18.50/18.81	(assume-push @p804 @t237)
18.50/18.81	(assume-push @p805 @t241)
18.50/18.81	(assume-push @p806 @t235)
18.50/18.81	(assume-push @p807 @t170)
18.50/18.81	(assume-push @p808 @t177)
18.50/18.81	(assume-push @p809 @t186)
18.50/18.81	(assume-push @p810 @t122)
18.50/18.81	(assume-push @p811 @t244)
18.50/18.81	(step @p416 :rule evaluate :args (@t212))
18.50/18.81	(step @p417 :rule evaluate :args (@t213))
18.50/18.81	(step @p530 :rule evaluate :args ((+ -1 1 -1 1 1 -1)))
18.50/18.81	(step @p531 :rule refl :args (1))
18.50/18.81	(step @p532 :rule nary_cong :premises (@p161 @p531 @p161 @p531 @p531 @p161) :args (@t245))
18.50/18.81	(step @p533 :rule trans :premises (@p532 @p530))
18.50/18.81	(step @p534 :rule arith_poly_norm :args ((= (+ @t215 0 @t182 @t119 @t217 @t246 @t166 0) 0)))
18.50/18.81	(step @p535 :rule arith_poly_norm :args ((= @t247 0)))
18.50/18.81	(step @p536 :rule refl :args (@t166))
18.50/18.81	(step @p537 :rule refl :args (@t246))
18.50/18.81	(step @p538 :rule refl :args (@t217))
18.50/18.81	(step @p539 :rule refl :args (@t119))
18.50/18.81	(step @p540 :rule refl :args (@t182))
18.50/18.81	(step @p541 :rule arith_poly_norm :args ((= @t248 0)))
18.50/18.81	(step @p423 :rule refl :args (@t215))
18.50/18.81	(step @p542 :rule nary_cong :premises (@p423 @p541 @p540 @p539 @p538 @p537 @p536 @p535) :args (@t249))
18.50/18.81	(step @p543 :rule trans :premises (@p542 @p534))
18.50/18.81	(step @p544 :rule arith_poly_norm :args ((= @t251 @t249)))
18.50/18.81	(step @p545 :rule trans :premises (@p544 @p543))
18.50/18.81	(step @p546 :rule cong :premises (@p545 @p533) :args (@t252))
18.50/18.81	(step @p547 :rule trans :premises (@p546 @p417))
18.50/18.81	(step @p548 :rule cong :premises (@p547) :args ((not @t252)))
18.50/18.81	(step @p549 :rule trans :premises (@p548 @p416))
18.50/18.81	(step @p550 :rule arith-elim-lt :args (@t251 @t245))
18.50/18.81	(step @p551 :rule trans :premises (@p550 @p549))
18.50/18.81	(step @p552 :rule arith_mult_neg :args (-1 (>= @t117 1)))
18.50/18.81	(step @p553 :rule arith_trichotomy :premises (@p396 @p805))
18.50/18.81	(step @p554 :rule int_tight_lb :premises (@p553))
18.50/18.81	(step @p229 :rule evaluate :args (@t145))
18.50/18.81	(step @p230 :rule true_elim :premises (@p229))
18.50/18.81	(step @p555 :rule and_intro :premises (@p230 @p554))
18.50/18.81	(step @p556 :rule modus_ponens :premises (@p555 @p552))
18.50/18.81	(step @p491 :rule arith-elim-lt :args (@t182 1))
18.50/18.81	(step @p492 :rule symm :premises (@p491))
18.50/18.81	(step @p557 :rule eq_resolve :premises (@p806 @p492))
18.50/18.81	(step @p441 :rule arith_poly_norm :args (@t227))
18.50/18.81	(step @p442 :rule arith_poly_norm_rel :premises (@p441) :args (@t228))
18.50/18.81	(step @p443 :rule symm :premises (@p442))
18.50/18.81	(step @p444 :rule eq_resolve :premises (@p335 @p443))
18.50/18.81	(step @p558 :rule arith_mult_neg :args (-1 @t253))
18.50/18.81	(step @p559 :rule arith_poly_norm :args ((= (* -1 (- @t250 1)) (* -1 @t176))))
18.50/18.81	(step @p560 :rule arith_poly_norm_rel :premises (@p559) :args ((= @t253 @t177)))
18.50/18.81	(step @p561 :rule symm :premises (@p560))
18.50/18.81	(step @p562 :rule eq_resolve :premises (@p350 @p561))
18.50/18.81	(step @p563 :rule and_intro :premises (@p230 @p562))
18.50/18.81	(step @p564 :rule modus_ponens :premises (@p563 @p558))
18.50/18.81	(step @p448 :rule arith_poly_norm :args (@t230))
18.50/18.81	(step @p449 :rule arith_poly_norm_rel :premises (@p448) :args (@t231))
18.50/18.81	(step @p450 :rule symm :premises (@p449))
18.50/18.81	(step @p565 :rule eq_resolve :premises (@p809 @p450))
18.50/18.81	(step @p566 :rule arith_mult_neg :args (-1 @t244))
18.50/18.81	(step @p567 :rule and_intro :premises (@p230 @p811))
18.50/18.81	(step @p568 :rule modus_ponens :premises (@p567 @p566))
18.50/18.81	(step @p569 :rule arith_sum_ub :premises (@p568 @p565 @p564 @p444 @p557 @p556))
18.50/18.81	(step @p570 false :rule eq_resolve :premises (@p569 @p551))
18.50/18.81	(step-pop @p811 :rule scope :premises (@p570))
18.50/18.81	(step @p571 :rule process_scope :premises (@p811) :args (false))
18.50/18.81	(step @p573 :rule arith_poly_norm :args ((= (* -1 (- @t243 1)) (* -1 @t120))))
18.50/18.81	(step @p574 :rule arith_poly_norm_rel :premises (@p573) :args ((= @t244 @t122)))
18.50/18.81	(step @p575 :rule symm :premises (@p574))
18.50/18.81	(step @p576 :rule eq_resolve :premises (@p810 @p575))
18.50/18.81	(step @p577 false :rule contra :premises (@p576 @p571))
18.50/18.81	(step-pop @p812 :rule scope :premises (@p577))
18.50/18.81	(step-pop @p813 :rule scope :premises (@p812))
18.50/18.81	(step-pop @p814 :rule scope :premises (@p813))
18.50/18.81	(step-pop @p815 :rule scope :premises (@p814))
18.50/18.81	(step-pop @p816 :rule scope :premises (@p815))
18.50/18.81	(step-pop @p817 :rule scope :premises (@p816))
18.50/18.81	(step-pop @p818 :rule scope :premises (@p817))
18.50/18.81	(step @p578 :rule process_scope :premises (@p818) :args (false))
18.50/18.81	(assume-push @p820 @t170)
18.50/18.81	(assume-push @p821 @t177)
18.50/18.81	(assume-push @p822 @t122)
18.50/18.81	(assume-push @p823 @t186)
18.50/18.81	(assume-push @p824 @t237)
18.50/18.81	(assume-push @p825 @t241)
18.50/18.81	(assume-push @p826 @t235)
18.50/18.81	(step @p593 :rule and_intro :premises (@p396 @p825 @p826 @p335 @p350 @p823 @p822))
18.50/18.81	(step-pop @p826 :rule scope :premises (@p593))
18.50/18.81	(step-pop @p827 :rule scope :premises (@p826))
18.50/18.81	(step-pop @p828 :rule scope :premises (@p827))
18.50/18.81	(step-pop @p829 :rule scope :premises (@p828))
18.50/18.81	(step-pop @p830 :rule scope :premises (@p829))
18.50/18.81	(step-pop @p831 :rule scope :premises (@p830))
18.50/18.81	(step-pop @p832 :rule scope :premises (@p831))
18.50/18.81	(step @p594 :rule process_scope :premises (@p832) :args (@t254))
18.50/18.81	(step @p602 :rule implies_elim :premises (@p594))
18.50/18.81	(step @p603 :rule resolution :premises (@p602 @p578) :args (true @t254))
18.50/18.81	(step @p604 :rule not_and :premises (@p603))
18.50/18.81	(step @p605 :rule eq_resolve :premises (@p604 @p521))
18.50/18.81	(step @p606 :rule reordering :premises (@p605) :args ((or @t208 @t240 @t239 @t207 @t236 @t238 @t225)))
18.50/18.81	(step @p607 :rule eq-symm :args (@t28 tptp.empty))
18.50/18.81	(step @p608 :rule refl :args (@t29))
18.50/18.81	(step @p609 :rule cong :premises (@p608 @p607) :args (@t30))
18.50/18.81	(step @p610 :rule cong :premises (@p609) :args (@t31))
18.50/18.81	(step @p611 :rule eq_resolve :premises (@p10 @p610))
18.50/18.81	(step @p612 :rule instantiate :premises (@p611) :args (@t202))
18.50/18.81	(step @p613 :rule cnf_equiv_pos1 :args (@t256))
18.50/18.81	(step @p614 :rule reordering :premises (@p613) :args ((or @t255 @t241 (not @t256))))
18.50/18.81	(step @p615 :rule instantiate :premises (@p2) :args ((@list @t76 @t181 @t74)))
18.50/18.81	(step @p616 :rule instantiate :premises (@p141) :args (@t190))
18.50/18.81	(step @p617 :rule cnf_or_pos :args (@t259))
18.50/18.81	(step @p618 :rule reordering :premises (@p617) :args ((or @t201 @t258 (not @t259))))
18.50/18.81	(step @p619 :rule chain_resolution :premises (@p618 @p392 @p616) :args (@t107 (@list @t188 @t259)))
18.50/18.81	(step @p620 :rule instantiate :premises (@p5) :args (@t173))
18.50/18.81	(step @p621 :rule refl :args (@t261))
18.50/18.81	(step @p622 :rule refl :args (@t262))
18.50/18.81	(step @p623 :rule bool-double-not-elim :args (@t263))
18.50/18.81	(step @p624 :rule nary_cong :premises (@p623 @p622 @p621) :args ((or (not @t264) @t262 @t261)))
18.50/18.81	(assume-push @p834 @t264)
18.50/18.81	(assume-push @p835 @t258)
18.50/18.81	(assume-push @p836 @t264)
18.50/18.81	(assume-push @p837 @t258)
18.50/18.81	(step @p629 :rule false_intro :premises (@p620))
18.50/18.81	(step @p630 :rule symm :premises (@p835))
18.50/18.81	(step @p631 :rule cong :premises (@p199 @p630) :args (@t260))
18.50/18.81	(step @p632 :rule trans :premises (@p631 @p629))
18.50/18.81	(step @p633 :rule false_elim :premises (@p632))
18.50/18.81	(step-pop @p837 :rule scope :premises (@p633))
18.50/18.81	(step-pop @p838 :rule scope :premises (@p837))
18.50/18.81	(step @p634 :rule process_scope :premises (@p838) :args (@t261))
18.50/18.81	(step @p637 :rule and_intro :premises (@p620 @p835))
18.50/18.81	(step @p638 :rule modus_ponens :premises (@p637 @p634))
18.50/18.81	(step-pop @p839 :rule scope :premises (@p638))
18.50/18.81	(step-pop @p840 :rule scope :premises (@p839))
18.50/18.81	(step @p639 :rule process_scope :premises (@p840) :args (@t261))
18.50/18.81	(step @p642 :rule implies_elim :premises (@p639))
18.50/18.81	(step @p643 :rule cnf_and_neg :args (@t265))
18.50/18.81	(step @p644 :rule resolution :premises (@p643 @p642) :args (true @t265))
18.50/18.81	(step @p645 :rule eq_resolve :premises (@p644 @p624))
18.50/18.81	(step @p646 :rule chain_resolution :premises (@p645 @p620 @p619) :args (@t147 (@list @t263 @t258)))
18.50/18.81	(step @p647 :rule cnf_equiv_pos1 :args (@t268))
18.50/18.81	(step @p648 :rule reordering :premises (@p647) :args ((or @t260 (not @t267) (not @t268))))
18.50/18.81	(step @p649 :rule chain_resolution :premises (@p648 @p646 @p615) :args (@t147 (@list @t260 @t268)))
18.50/18.81	(step @p650 :rule cnf_or_neg :args (@t267 0))
18.50/18.81	(step @p651 :rule chain_resolution :premises (@p650 @p649) :args (@t100 (@list @t267)))
18.50/18.81	(step @p652 :rule instantiate :premises (@p611) :args (@t203))
18.50/18.81	(step @p653 :rule cnf_equiv_pos1 :args (@t270))
18.50/18.81	(step @p654 :rule reordering :premises (@p653) :args ((or @t269 @t209 (not @t270))))
18.50/18.81	(step @p655 :rule chain_resolution :premises (@p654 @p488 @p652) :args (@t107 (@list @t204 @t270)))
18.50/18.81	(step @p656 :rule bool-double-not-elim :args (@t266))
18.50/18.81	(step @p657 :rule refl :args (@t271))
18.50/18.81	(step @p658 :rule refl :args (@t272))
18.50/18.81	(step @p659 :rule refl :args (@t273))
18.50/18.81	(step @p660 :rule nary_cong :premises (@p659 @p658 @p657 @p656) :args ((or @t273 @t272 @t271 (not @t274))))
18.50/18.81	(assume-push @p842 @t274)
18.50/18.81	(assume-push @p843 @t269)
18.50/18.81	(assume-push @p844 @t255)
18.50/18.81	(assume-push @p845 @t151)
18.50/18.81	(step @p665 :rule evaluate :args ((= true false)))
18.50/18.81	(step @p666 :rule false_intro :premises (@p842))
18.50/18.81	(step @p667 :rule symm :premises (@p844))
18.50/18.81	(step @p668 :rule trans :premises (@p667 @p843))
18.50/18.81	(step @p669 :rule cong :premises (@p199 @p668) :args (@t151))
18.50/18.81	(step @p670 :rule true_intro :premises (@p845))
18.50/18.81	(step @p671 :rule symm :premises (@p670))
18.50/18.81	(step @p672 :rule trans :premises (@p671 @p669 @p666))
18.50/18.81	(step @p673 false :rule eq_resolve :premises (@p672 @p665))
18.50/18.81	(step-pop @p845 :rule scope :premises (@p673))
18.50/18.81	(step-pop @p846 :rule scope :premises (@p845))
18.50/18.81	(step-pop @p847 :rule scope :premises (@p846))
18.50/18.81	(step-pop @p848 :rule scope :premises (@p847))
18.50/18.81	(step @p674 :rule process_scope :premises (@p848) :args (false))
18.50/18.81	(assume-push @p850 @t151)
18.50/18.81	(assume-push @p851 @t255)
18.50/18.81	(assume-push @p852 @t269)
18.50/18.81	(assume-push @p853 @t274)
18.50/18.81	(step @p683 :rule and_intro :premises (@p853 @p852 @p851 @p850))
18.50/18.81	(step-pop @p853 :rule scope :premises (@p683))
18.50/18.81	(step-pop @p854 :rule scope :premises (@p853))
18.50/18.81	(step-pop @p855 :rule scope :premises (@p854))
18.50/18.81	(step-pop @p856 :rule scope :premises (@p855))
18.50/18.81	(step @p684 :rule process_scope :premises (@p856) :args (@t275))
18.50/18.81	(step @p689 :rule implies_elim :premises (@p684))
18.50/18.81	(step @p690 :rule resolution :premises (@p689 @p674) :args (true @t275))
18.50/18.81	(step @p691 :rule not_and :premises (@p690))
18.50/18.81	(step @p692 :rule eq_resolve :premises (@p691 @p660))
18.50/18.81	(step @p693 :rule reordering :premises (@p692) :args ((or @t266 @t273 @t272 @t271)))
18.50/18.81	(step @p694 :rule chain_resolution :premises (@p693 @p655 @p651 @p614 @p612 @p606 @p515 @p396 @p395 @p350 @p335 @p320 @p318 @p285 @p283 @p266 @p246 @p190 @p188 @p187 @p185) :args ((@list false true false false false true false false false false false true false false false false false false false false) (@list @t269 @t266 @t255 @t256 @t236 @t225 @t237 @t186 @t177 @t170 @t151 @t150 @t152 @t157 @t148 @t136 @t132 @t133 @t122 @t129)))
18.50/18.81	(step @p695 :rule factoring :premises (@p694))
18.50/18.81	(step @p696 :rule cnf_or_pos :args (@t111))
18.50/18.81	(step @p697 :rule reordering :premises (@p696) :args ((or @t110 @t109 (not @t111))))
18.50/18.81	(step @p698 :rule chain_resolution :premises (@p697 @p695 @p159) :args (@t147 (@list @t110 @t111)))
18.50/18.81	(assume-push @p858 @t78)
18.50/18.81	(assume-push @p859 @t89)
18.50/18.81	(assume-push @p860 @t109)
18.50/18.81	(assume-push @p861 @t277)
18.50/18.81	(step @p703 :rule evaluate :args ((<= 0 -2)))
18.50/18.81	(step @p704 :rule evaluate :args ((+ 0 -1 -1)))
18.50/18.81	(step @p705 :rule nary_cong :premises (@p98 @p161 @p161) :args (@t278))
18.50/18.81	(step @p706 :rule trans :premises (@p705 @p704))
18.50/18.81	(step @p707 :rule arith_poly_norm :args ((= (+ 0 @t76 @t87 0) 0)))
18.50/18.81	(step @p708 :rule arith_poly_norm :args ((= @t279 0)))
18.50/18.81	(step @p709 :rule refl :args (@t87))
18.50/18.81	(step @p710 :rule arith_poly_norm :args ((= @t280 0)))
18.50/18.81	(step @p711 :rule nary_cong :premises (@p710 @p199 @p709 @p708) :args (@t281))
18.50/18.81	(step @p712 :rule trans :premises (@p711 @p707))
18.50/18.81	(step @p713 :rule arith_poly_norm :args ((= @t282 @t281)))
18.50/18.81	(step @p714 :rule trans :premises (@p713 @p712))
18.50/18.81	(step @p715 :rule cong :premises (@p714 @p706) :args ((<= @t282 @t278)))
18.50/18.81	(step @p716 :rule trans :premises (@p715 @p703))
18.50/18.81	(step @p228 :rule arith_mult_neg :args (-1 @t78))
18.50/18.81	(step @p229 :rule evaluate :args (@t145))
18.50/18.81	(step @p230 :rule true_elim :premises (@p229))
18.50/18.81	(step @p231 :rule and_intro :premises (@p230 @p130))
18.50/18.81	(step @p232 :rule modus_ponens :premises (@p231 @p228))
18.50/18.81	(step @p305 :rule arith_mult_neg :args (-1 @t89))
18.50/18.81	(step @p306 :rule and_intro :premises (@p230 @p124))
18.50/18.81	(step @p307 :rule modus_ponens :premises (@p306 @p305))
18.50/18.81	(step @p717 :rule arith_sum_ub :premises (@p861 @p307 @p232))
18.50/18.81	(step @p718 false :rule eq_resolve :premises (@p717 @p716))
18.50/18.81	(step-pop @p861 :rule scope :premises (@p718))
18.50/18.81	(step @p719 :rule process_scope :premises (@p861) :args (false))
18.50/18.81	(step @p721 :rule arith_poly_norm :args ((= (* 1 (- @t276 0)) (* 1 (- @t80 @t74)))))
18.50/18.81	(step @p722 :rule arith_poly_norm_rel :premises (@p721) :args ((= @t277 @t109)))
18.50/18.81	(step @p723 :rule symm :premises (@p722))
18.50/18.81	(step @p724 :rule eq_resolve :premises (@p860 @p723))
18.50/18.81	(step @p725 false :rule contra :premises (@p724 @p719))
18.50/18.81	(step-pop @p862 :rule scope :premises (@p725))
18.50/18.81	(step-pop @p863 :rule scope :premises (@p862))
18.50/18.81	(step-pop @p864 :rule scope :premises (@p863))
18.50/18.81	(step @p726 :rule process_scope :premises (@p864) :args (false))
18.50/18.81	(assume-push @p866 @t89)
18.50/18.81	(assume-push @p867 @t78)
18.50/18.81	(assume-push @p868 @t109)
18.50/18.81	(step @p733 :rule and_intro :premises (@p130 @p124 @p868))
18.50/18.81	(step-pop @p868 :rule scope :premises (@p733))
18.50/18.81	(step-pop @p869 :rule scope :premises (@p868))
18.50/18.81	(step-pop @p870 :rule scope :premises (@p869))
18.50/18.81	(step @p734 :rule process_scope :premises (@p870) :args (@t283))
18.50/18.81	(step @p738 :rule implies_elim :premises (@p734))
18.50/18.81	(step @p739 :rule resolution :premises (@p738 @p726) :args (true @t283))
18.50/18.81	(step @p740 :rule not_and :premises (@p739))
18.50/18.81	(step @p741 false :rule chain_resolution :premises (@p740 @p698 @p130 @p124) :args ((@list false false false) (@list @t109 @t78 @t89)))
18.50/18.81	)
18.50/18.81	% SZS output end Proof
18.50/18.81	% cvc5 exiting
18.50/18.81	EOF