0.10/0.12 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.10/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 120 THM 0.14/0.34 % Computer : n029.cluster.edu 0.14/0.34 % Model : x86_64 x86_64 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.14/0.34 % Memory : 8042.1875MB 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64 0.14/0.34 % CPULimit : 960 0.14/0.34 % WCLimit : 120 0.14/0.34 % DateTime : Fri Sep 5 12:39:07 EDT 2025 0.14/0.34 % CPUTime : 0.20/0.49 %----Proving TF0_ARI 18.59/18.81 --- Run --finite-model-find --decision=internal at 18... 18.59/18.81 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 24... 18.59/18.81 % SZS status Theorem 18.59/18.81 % SZS output start Proof 18.59/18.81 ( 18.59/18.81 (declare-type tptp.collection ()) 18.59/18.81 (declare-const tptp.count (-> tptp.collection Int)) 18.59/18.81 (declare-const tptp.remove (-> Int tptp.collection tptp.collection)) 18.59/18.81 (declare-const tptp.add (-> Int tptp.collection tptp.collection)) 18.59/18.81 (declare-const tptp.in (-> Int tptp.collection Bool)) 18.59/18.81 (declare-const tptp.empty tptp.collection) 18.59/18.81 (define @t1 () (@var "U" Int)) 18.59/18.81 (define @t2 () (@var "X1" tptp.collection)) 18.59/18.81 (define @t3 () (@var "X2" Int)) 18.59/18.81 (define @t4 () (@var "Z" Int)) 18.59/18.81 (define @t5 () (forall (@list @t4 @t2 @t3) (= (or (tptp.in @t4 @t2) (= @t4 @t3)) (tptp.in @t4 (tptp.add @t3 @t2))))) 18.59/18.81 (define @t6 () (@var "X4" tptp.collection)) 18.59/18.81 (define @t7 () (@var "X3" Int)) 18.59/18.81 (define @t8 () (@var "X5" Int)) 18.59/18.81 (define @t9 () (forall (@list @t7 @t6 @t8) (= (tptp.in @t7 (tptp.remove @t8 @t6)) (and (not (= @t7 @t8)) (tptp.in @t7 @t6))))) 18.59/18.81 (define @t10 () (@var "W" tptp.collection)) 18.59/18.81 (define @t11 () (@var "V" Int)) 18.59/18.81 (define @t12 () (@var "Y" tptp.collection)) 18.59/18.81 (define @t13 () (@var "X" Int)) 18.59/18.81 (define @t14 () (@var "X13" tptp.collection)) 18.59/18.81 (define @t15 () (tptp.count @t14)) 18.59/18.81 (define @t16 () (- @t15 1)) 18.59/18.81 (define @t17 () (@var "X12" Int)) 18.59/18.81 (define @t18 () (tptp.count (tptp.remove @t17 @t14))) 18.59/18.81 (define @t19 () (= @t18 @t16)) 18.59/18.81 (define @t20 () (tptp.in @t17 @t14)) 18.59/18.81 (define @t21 () (= @t20 @t19)) 18.59/18.81 (define @t22 () (forall (@list @t17 @t14) @t21)) 18.59/18.81 (define @t23 () (@var "X15" tptp.collection)) 18.59/18.81 (define @t24 () (@var "X14" Int)) 18.59/18.81 (define @t25 () (@var "X6" tptp.collection)) 18.59/18.81 (define @t26 () (@var "X11" tptp.collection)) 18.59/18.81 (define @t27 () (@var "X10" Int)) 18.59/18.81 (define @t28 () (forall (@list @t27 @t26) (= (tptp.in @t27 @t26) (= (tptp.count (tptp.add @t27 @t26)) (tptp.count @t26))))) 18.59/18.81 (define @t29 () (@var "X7" tptp.collection)) 18.59/18.81 (define @t30 () (@var "X17" tptp.collection)) 18.59/18.81 (define @t31 () (@var "X16" Int)) 18.59/18.81 (define @t32 () (@var "X9" tptp.collection)) 18.59/18.81 (define @t33 () (tptp.count @t32)) 18.59/18.81 (define @t34 () (+ @t33 1)) 18.59/18.81 (define @t35 () (@var "X8" Int)) 18.59/18.81 (define @t36 () (tptp.count (tptp.add @t35 @t32))) 18.59/18.81 (define @t37 () (= @t36 @t34)) 18.59/18.81 (define @t38 () (not (tptp.in @t35 @t32))) 18.59/18.81 (define @t39 () (= @t38 @t37)) 18.59/18.81 (define @t40 () (@list @t35 @t32)) 18.59/18.81 (define @t41 () (forall @t40 @t39)) 18.59/18.81 (define @t42 () (@var "U" tptp.collection)) 18.59/18.81 (define @t43 () (forall (@list @t42 @t11) (= (tptp.count (tptp.add 0 (tptp.remove @t11 (tptp.add @t11 @t42)))) (tptp.count (tptp.add 0 (tptp.remove @t11 @t42)))))) 18.59/18.81 (define @t44 () (* -1 1)) 18.59/18.81 (define @t45 () (+ @t15 @t44)) 18.59/18.81 (define @t46 () (@quantifiers_skolemize @t43 0)) 18.59/18.81 (define @t47 () (@quantifiers_skolemize @t43 1)) 18.59/18.81 (define @t48 () (tptp.add @t47 @t46)) 18.59/18.81 (define @t49 () (@list @t47 @t48)) 18.59/18.81 (define @t50 () (@list @t47 @t46)) 18.59/18.81 (define @t51 () (tptp.count @t48)) 18.59/18.81 (define @t52 () (+ -1 @t51)) 18.59/18.81 (define @t53 () (tptp.remove @t47 @t48)) 18.59/18.81 (define @t54 () (tptp.count @t53)) 18.59/18.81 (define @t55 () (= @t54 @t52)) 18.59/18.81 (define @t56 () (tptp.in @t47 @t48)) 18.59/18.81 (define @t57 () (= @t56 @t55)) 18.59/18.81 (define @t58 () (@list false false)) 18.59/18.81 (define @t59 () (* -1 @t51)) 18.59/18.81 (define @t60 () (+ @t54 @t59)) 18.59/18.81 (define @t61 () (>= @t60 0)) 18.59/18.81 (define @t62 () (<= 0 -1)) 18.59/18.81 (define @t63 () (+ 0 -1)) 18.59/18.81 (define @t64 () (* -1 0)) 18.59/18.81 (define @t65 () (+ @t64 -1)) 18.59/18.81 (define @t66 () (+ 0 0)) 18.59/18.81 (define @t67 () (* 0 @t54)) 18.59/18.81 (define @t68 () (= @t67 0)) 18.59/18.81 (define @t69 () (* 0 @t51)) 18.59/18.81 (define @t70 () (= @t69 0)) 18.59/18.81 (define @t71 () (+ @t69 @t67)) 18.59/18.81 (define @t72 () (* -1 @t60)) 18.59/18.81 (define @t73 () (+ @t72 @t60)) 18.59/18.81 (define @t74 () (= (* 1 (- @t60 -1)) (* 1 (- @t54 @t52)))) 18.59/18.81 (define @t75 () (= @t60 -1)) 18.59/18.81 (define @t76 () (= @t75 @t55)) 18.59/18.81 (define @t77 () (< -1 0)) 18.59/18.81 (define @t78 () (not @t61)) 18.59/18.81 (define @t79 () (@list false)) 18.59/18.81 (define @t80 () (+ 1 @t33)) 18.59/18.81 (define @t81 () (tptp.remove @t47 @t46)) 18.59/18.81 (define @t82 () (tptp.count @t81)) 18.59/18.81 (define @t83 () (tptp.count (tptp.add 0 @t81))) 18.59/18.81 (define @t84 () (= @t83 @t82)) 18.59/18.81 (define @t85 () (* -1 @t82)) 18.59/18.81 (define @t86 () (+ @t83 @t85)) 18.59/18.81 (define @t87 () (>= @t86 1)) 18.59/18.81 (define @t88 () (+ -1 0)) 18.59/18.81 (define @t89 () (+ @t44 0)) 18.59/18.81 (define @t90 () (* 0 @t83)) 18.59/18.81 (define @t91 () (= @t90 0)) 18.59/18.81 (define @t92 () (* 0 @t82)) 18.59/18.81 (define @t93 () (= @t92 0)) 18.59/18.81 (define @t94 () (+ @t92 @t90)) 18.59/18.81 (define @t95 () (* -1 @t86)) 18.59/18.81 (define @t96 () (+ @t95 @t86)) 18.59/18.81 (define @t97 () (= @t96 @t94)) 18.59/18.81 (define @t98 () (= (* 1 (- @t86 0)) (* 1 (- @t83 @t82)))) 18.59/18.81 (define @t99 () (= @t86 0)) 18.59/18.81 (define @t100 () (= @t99 @t84)) 18.59/18.81 (define @t101 () (not @t87)) 18.59/18.81 (define @t102 () (tptp.count @t46)) 18.59/18.81 (define @t103 () (+ -1 @t102)) 18.59/18.81 (define @t104 () (= @t82 @t103)) 18.59/18.81 (define @t105 () (tptp.in @t47 @t46)) 18.59/18.81 (define @t106 () (= @t105 @t104)) 18.59/18.81 (define @t107 () (not @t105)) 18.59/18.81 (define @t108 () (- @t102 @t51)) 18.59/18.81 (define @t109 () (= @t102 @t51)) 18.59/18.81 (define @t110 () (= @t51 @t102)) 18.59/18.81 (define @t111 () (= @t105 @t110)) 18.59/18.81 (define @t112 () (= @t105 @t109)) 18.59/18.81 (define @t113 () (tptp.count (tptp.add 0 @t53))) 18.59/18.81 (define @t114 () (= @t113 @t54)) 18.59/18.81 (define @t115 () (not @t114)) 18.59/18.81 (define @t116 () (not @t109)) 18.59/18.81 (define @t117 () (not @t55)) 18.59/18.81 (define @t118 () (not @t104)) 18.59/18.81 (define @t119 () (* -1 @t83)) 18.59/18.81 (define @t120 () (+ @t113 @t119)) 18.59/18.81 (define @t121 () (>= @t120 0)) 18.59/18.81 (define @t122 () (not @t101)) 18.59/18.81 (define @t123 () (not @t121)) 18.59/18.81 (define @t124 () (not @t123)) 18.59/18.81 (define @t125 () (* -1 @t102)) 18.59/18.81 (define @t126 () (+ @t82 @t125)) 18.59/18.81 (define @t127 () (= @t126 -1)) 18.59/18.81 (define @t128 () (not true)) 18.59/18.81 (define @t129 () (>= 0 0)) 18.59/18.81 (define @t130 () (+ -1 1 0 1 -1 0)) 18.59/18.81 (define @t131 () (* -1 -1)) 18.59/18.81 (define @t132 () (+ -1 @t131 @t64 1 -1 0)) 18.59/18.81 (define @t133 () (* -1 @t54)) 18.59/18.81 (define @t134 () (= (+ @t85 @t54 0 @t125 @t133 @t102 @t82 @t119 @t83 0) 0)) 18.59/18.81 (define @t135 () (* 0 @t113)) 18.59/18.81 (define @t136 () (= @t135 0)) 18.59/18.81 (define @t137 () (+ @t85 @t54 @t69 @t125 @t133 @t102 @t82 @t119 @t83 @t135)) 18.59/18.81 (define @t138 () (+ @t102 @t59)) 18.59/18.81 (define @t139 () (+ @t113 @t133)) 18.59/18.81 (define @t140 () (* -1 @t139)) 18.59/18.81 (define @t141 () (+ @t126 @t72 @t140 @t86 @t120 @t138)) 18.59/18.81 (define @t142 () (= @t141 @t137)) 18.59/18.81 (define @t143 () (>= @t141 @t132)) 18.59/18.81 (define @t144 () (not @t143)) 18.59/18.81 (define @t145 () (= (* 1 (- @t138 0)) (* 1 @t108))) 18.59/18.81 (define @t146 () (= @t138 0)) 18.59/18.81 (define @t147 () (= @t146 @t109)) 18.59/18.81 (define @t148 () (= @t139 0)) 18.59/18.81 (define @t149 () (= (* 1 (- @t139 0)) (* 1 (- @t113 @t54)))) 18.59/18.81 (define @t150 () (= @t148 @t114)) 18.59/18.81 (define @t151 () (= (* 1 (- @t126 -1)) (* 1 (- @t82 @t103)))) 18.59/18.81 (define @t152 () (= @t127 @t104)) 18.59/18.81 (define @t153 () (and @t109 @t123 @t101 @t114 @t55 @t104)) 18.59/18.81 (define @t154 () (= @t82 @t102)) 18.59/18.81 (define @t155 () (= @t154 @t107)) 18.59/18.81 (define @t156 () (not @t155)) 18.59/18.81 (define @t157 () (not @t107)) 18.59/18.81 (define @t158 () (- @t102 @t52)) 18.59/18.81 (define @t159 () (+ 1 @t102)) 18.59/18.81 (define @t160 () (= @t102 @t52)) 18.59/18.81 (define @t161 () (= @t51 @t159)) 18.59/18.81 (define @t162 () (= @t107 @t161)) 18.59/18.81 (define @t163 () (forall @t40 (= @t38 (= @t36 @t80)))) 18.59/18.81 (define @t164 () (= @t107 @t160)) 18.59/18.81 (define @t165 () (not @t164)) 18.59/18.81 (define @t166 () (not @t160)) 18.59/18.81 (define @t167 () (not @t84)) 18.59/18.81 (define @t168 () (not @t154)) 18.59/18.81 (define @t169 () (= @t113 @t83)) 18.59/18.81 (define @t170 () (not @t169)) 18.59/18.81 (define @t171 () (not @t170)) 18.59/18.81 (define @t172 () (and @t84 @t154 @t160 @t55 @t114 @t170)) 18.59/18.81 (define @t173 () (@list true true)) 18.59/18.81 (define @t174 () (@list 0 @t53)) 18.59/18.81 (define @t175 () (tptp.in 0 @t53)) 18.59/18.81 (define @t176 () (= @t175 @t114)) 18.59/18.81 (define @t177 () (not @t175)) 18.59/18.81 (define @t178 () (+ 1 @t54)) 18.59/18.81 (define @t179 () (= @t113 @t178)) 18.59/18.81 (define @t180 () (= @t177 @t179)) 18.59/18.81 (define @t181 () (not @t180)) 18.59/18.81 (define @t182 () (>= @t139 0)) 18.59/18.81 (define @t183 () (< @t139 0)) 18.59/18.81 (define @t184 () (+ 0 @t44)) 18.59/18.81 (define @t185 () (+ @t67 @t135)) 18.59/18.81 (define @t186 () (+ @t139 @t140)) 18.59/18.81 (define @t187 () (>= @t186 @t184)) 18.59/18.81 (define @t188 () (= @t139 1)) 18.59/18.81 (define @t189 () (= (* -1 (- @t139 1)) (* -1 (- @t113 @t178)))) 18.59/18.81 (define @t190 () (= @t188 @t179)) 18.59/18.81 (define @t191 () (not @t182)) 18.59/18.81 (define @t192 () (= @t83 @t54)) 18.59/18.81 (define @t193 () (+ @t83 @t133)) 18.59/18.81 (define @t194 () (= @t193 0)) 18.59/18.81 (define @t195 () (+ 0 0 @t64)) 18.59/18.81 (define @t196 () (+ @t67 @t119 @t83 @t135)) 18.59/18.81 (define @t197 () (+ @t193 @t120 @t140)) 18.59/18.81 (define @t198 () (>= @t197 @t195)) 18.59/18.81 (define @t199 () (and @t182 @t123 @t192)) 18.59/18.81 (define @t200 () (and @t109 @t123 @t101 @t182 @t55 @t104)) 18.59/18.81 (define @t201 () (@list 0 @t81)) 18.59/18.81 (define @t202 () (tptp.in 0 @t81)) 18.59/18.81 (define @t203 () (= @t202 @t84)) 18.59/18.81 (define @t204 () (not @t202)) 18.59/18.81 (define @t205 () (+ 1 @t82)) 18.59/18.81 (define @t206 () (= @t83 @t205)) 18.59/18.81 (define @t207 () (= @t204 @t206)) 18.59/18.81 (define @t208 () (not @t207)) 18.59/18.81 (define @t209 () (tptp.in 0 @t46)) 18.59/18.81 (define @t210 () (= @t47 0)) 18.59/18.81 (define @t211 () (= 0 @t47)) 18.59/18.81 (define @t212 () (not @t211)) 18.59/18.81 (define @t213 () (and @t212 @t209)) 18.59/18.81 (define @t214 () (= @t202 @t213)) 18.59/18.81 (define @t215 () (@list 0 @t46 @t47)) 18.59/18.81 (define @t216 () (not @t210)) 18.59/18.81 (define @t217 () (and @t216 @t209)) 18.59/18.81 (define @t218 () (= @t202 @t217)) 18.59/18.81 (define @t219 () (not @t218)) 18.59/18.81 (define @t220 () (not @t217)) 18.59/18.81 (define @t221 () (tptp.in @t47 @t53)) 18.59/18.81 (define @t222 () (not @t221)) 18.59/18.81 (define @t223 () (and @t222 @t211 @t175)) 18.59/18.81 (define @t224 () (tptp.in 0 @t48)) 18.59/18.81 (define @t225 () (and @t212 @t224)) 18.59/18.81 (define @t226 () (= @t175 @t225)) 18.59/18.81 (define @t227 () (@list @t9)) 18.59/18.81 (define @t228 () (and @t216 @t224)) 18.59/18.81 (define @t229 () (= @t175 @t228)) 18.59/18.81 (define @t230 () (not @t229)) 18.59/18.81 (define @t231 () (not @t209)) 18.59/18.81 (define @t232 () (not @t216)) 18.59/18.81 (define @t233 () (not @t228)) 18.59/18.81 (define @t234 () (or @t209 @t210)) 18.59/18.81 (define @t235 () (not @t234)) 18.59/18.81 (define @t236 () (or @t209 @t211)) 18.59/18.81 (define @t237 () (= @t236 @t224)) 18.59/18.81 (define @t238 () (= @t224 @t234)) 18.59/18.81 (define @t239 () (not @t238)) 18.59/18.81 (define @t240 () (not @t224)) 18.59/18.81 (define @t241 () (>= @t138 1)) 18.59/18.81 (define @t242 () (not @t206)) 18.59/18.81 (define @t243 () (not @t179)) 18.59/18.81 (define @t244 () (not @t241)) 18.59/18.81 (define @t245 () (+ @t44 @t131 1 1 -1 -1)) 18.59/18.81 (define @t246 () (+ @t140 @t72 @t138 @t86 @t120 @t126)) 18.59/18.81 (define @t247 () (>= @t246 @t245)) 18.59/18.81 (define @t248 () (= (* -1 (- @t86 1)) (* -1 (- @t83 @t205)))) 18.59/18.81 (define @t249 () (= @t86 1)) 18.59/18.81 (define @t250 () (= @t249 @t206)) 18.59/18.81 (define @t251 () (and @t104 @t123 @t206 @t244 @t55 @t179)) 18.59/18.81 (define @t252 () (* 0 @t102)) 18.59/18.81 (define @t253 () (+ @t69 @t252)) 18.59/18.81 (define @t254 () (* -1 @t138)) 18.59/18.81 (define @t255 () (+ @t254 @t138)) 18.59/18.81 (define @t256 () (and @t241 @t109)) 18.59/18.81 (define @t257 () (>= @t86 2)) 18.59/18.81 (define @t258 () (+ -2 1)) 18.59/18.81 (define @t259 () (* -1 2)) 18.59/18.81 (define @t260 () (+ @t259 1)) 18.59/18.81 (define @t261 () (not @t257)) 18.59/18.81 (define @t262 () (= @t82 @t54)) 18.59/18.81 (define @t263 () (+ @t82 @t133)) 18.59/18.81 (define @t264 () (= @t263 0)) 18.59/18.81 (define @t265 () (+ 0 2 -1 @t44)) 18.59/18.81 (define @t266 () (+ @t85 @t67 @t82 @t119 @t83 @t135)) 18.59/18.81 (define @t267 () (+ @t263 @t86 @t120 @t140)) 18.59/18.81 (define @t268 () (>= @t267 @t265)) 18.59/18.81 (define @t269 () (and @t179 @t123 @t261 @t262)) 18.59/18.81 (define @t270 () (>= @t120 1)) 18.59/18.81 (define @t271 () (not @t270)) 18.59/18.81 (define @t272 () (= @t120 0)) 18.59/18.81 (define @t273 () (and @t170 @t271)) 18.59/18.81 (define @t274 () (not @t78)) 18.59/18.81 (define @t275 () (+ @t44 1 0 @t131 @t44 @t64)) 18.59/18.81 (define @t276 () (= (+ @t82 @t133 0 @t102 @t54 @t125 @t85 @t83 @t119 0) 0)) 18.59/18.81 (define @t277 () (+ @t82 @t133 @t69 @t102 @t54 @t125 @t85 @t83 @t119 @t135)) 18.59/18.81 (define @t278 () (+ @t95 @t139 @t60 @t254 (* -1 @t120) (* -1 @t126))) 18.59/18.81 (define @t279 () (= @t278 @t277)) 18.59/18.81 (define @t280 () (>= @t278 @t275)) 18.59/18.81 (define @t281 () (= @t126 0)) 18.59/18.81 (define @t282 () (= @t138 -1)) 18.59/18.81 (define @t283 () (and @t154 @t270 @t160 @t78 @t179 @t206)) 18.59/18.81 (define @t284 () (@list false false false false)) 18.59/18.81 (define @t285 () (>= @t139 2)) 18.59/18.81 (define @t286 () (+ @t140 @t139)) 18.59/18.81 (define @t287 () (not @t285)) 18.59/18.81 (define @t288 () (+ @t44 2 -1 @t64 @t44 @t131)) 18.59/18.81 (define @t289 () (>= @t278 @t288)) 18.59/18.81 (define @t290 () (and @t104 @t270 @t109 @t55 @t287 @t206)) 18.59/18.81 (define @t291 () (+ @t64 0 0 @t64 @t44 @t131)) 18.59/18.81 (define @t292 () (>= @t278 @t291)) 18.59/18.81 (define @t293 () (and @t104 @t270 @t109 @t78 @t114 @t84)) 18.59/18.81 (assume @p1 (forall (@list @t1) (not (tptp.in @t1 tptp.empty)))) 18.59/18.81 (assume @p2 @t5) 18.59/18.81 (assume @p3 @t9) 18.59/18.81 (assume @p4 (forall (@list @t11 @t10) (tptp.in @t11 (tptp.add @t11 @t10)))) 18.59/18.81 (assume @p5 (forall (@list @t13 @t12) (not (tptp.in @t13 (tptp.remove @t13 @t12))))) 18.59/18.81 (assume @p6 @t22) 18.59/18.81 (assume @p7 (forall (@list @t24 @t23) (= (= (tptp.count (tptp.remove @t24 @t23)) (tptp.count @t23)) (not (tptp.in @t24 @t23))))) 18.59/18.81 (assume @p8 (forall (@list @t25) (>= (tptp.count @t25) 0))) 18.59/18.81 (assume @p9 @t28) 18.59/18.81 (assume @p10 (forall (@list @t29) (= (= (tptp.count @t29) 0) (= @t29 tptp.empty)))) 18.59/18.81 (assume @p11 (forall (@list @t31 @t30) (=> (tptp.in @t31 @t30) (= @t30 (tptp.add @t31 (tptp.remove @t31 @t30)))))) 18.59/18.81 (assume @p12 @t41) 18.59/18.81 (assume @p13 (not @t43)) 18.59/18.81 (assume @p14 true) 18.59/18.81 (step @p15 :rule arith_poly_norm :args ((= (+ @t15 -1) (+ -1 @t15)))) 18.59/18.81 (step @p16 :rule evaluate :args (@t44)) 18.59/18.81 (step @p17 :rule refl :args (@t15)) 18.59/18.81 (step @p18 :rule nary_cong :premises (@p17 @p16) :args (@t45)) 18.59/18.81 (step @p19 :rule trans :premises (@p18 @p15)) 18.59/18.81 (step @p20 :rule arith_poly_norm :args ((= @t16 @t45))) 18.59/18.81 (step @p21 :rule trans :premises (@p20 @p19)) 18.59/18.81 (step @p22 :rule refl :args (@t18)) 18.59/18.81 (step @p23 :rule cong :premises (@p22 @p21) :args (@t19)) 18.59/18.81 (step @p24 :rule refl :args (@t20)) 18.59/18.81 (step @p25 :rule cong :premises (@p24 @p23) :args (@t21)) 18.59/18.81 (step @p26 :rule cong :premises (@p25) :args (@t22)) 18.59/18.81 (step @p27 :rule eq_resolve :premises (@p6 @p26)) 18.59/18.81 (step @p28 :rule instantiate :premises (@p27) :args (@t49)) 18.59/18.81 (step @p29 :rule instantiate :premises (@p4) :args (@t50)) 18.59/18.81 (step @p30 :rule cnf_equiv_pos1 :args (@t57)) 18.59/18.81 (step @p31 :rule reordering :premises (@p30) :args ((or @t55 (not @t56) (not @t57)))) 18.59/18.81 (step @p32 :rule chain_resolution :premises (@p31 @p29 @p28) :args (@t58 (@list @t56 @t57))) 18.59/18.81 (assume-push @p1109 @t55) 18.59/18.81 (assume-push @p1110 @t55) 18.59/18.81 (step @p35 :rule arith-elim-lt :args (@t60 0)) 18.59/18.81 (step @p36 :rule symm :premises (@p35)) 18.59/18.81 (assume-push @p1111 @t61) 18.59/18.81 (step @p38 :rule evaluate :args (@t62)) 18.59/18.81 (step @p39 :rule evaluate :args (@t63)) 18.59/18.81 (step @p40 :rule refl :args (-1)) 18.59/18.81 (step @p41 :rule evaluate :args (@t64)) 18.59/18.81 (step @p42 :rule nary_cong :premises (@p41 @p40) :args (@t65)) 18.59/18.81 (step @p43 :rule trans :premises (@p42 @p39)) 18.59/18.81 (step @p44 :rule evaluate :args (@t66)) 18.59/18.81 (step @p45 :rule arith_poly_norm :args (@t68)) 18.59/18.81 (step @p46 :rule arith_poly_norm :args (@t70)) 18.59/18.81 (step @p47 :rule nary_cong :premises (@p46 @p45) :args (@t71)) 18.59/18.81 (step @p48 :rule trans :premises (@p47 @p44)) 18.59/18.81 (step @p49 :rule arith_poly_norm :args ((= @t73 @t71))) 18.59/18.81 (step @p50 :rule trans :premises (@p49 @p48)) 18.59/18.81 (step @p51 :rule cong :premises (@p50 @p43) :args ((<= @t73 @t65))) 18.59/18.81 (step @p52 :rule trans :premises (@p51 @p38)) 18.59/18.81 (step @p53 :rule arith_poly_norm :args (@t74)) 18.59/18.81 (step @p54 :rule arith_poly_norm_rel :premises (@p53) :args (@t76)) 18.59/18.81 (step @p55 :rule symm :premises (@p54)) 18.59/18.81 (step @p56 :rule eq_resolve :premises (@p32 @p55)) 18.59/18.81 (step @p57 :rule arith_mult_neg :args (-1 @t61)) 18.59/18.81 (step @p58 :rule evaluate :args (@t77)) 18.59/18.81 (step @p59 :rule true_elim :premises (@p58)) 18.59/18.81 (step @p60 :rule and_intro :premises (@p59 @p1111)) 18.59/18.81 (step @p61 :rule modus_ponens :premises (@p60 @p57)) 18.59/18.81 (step @p62 :rule arith_sum_ub :premises (@p61 @p56)) 18.59/18.81 (step @p63 false :rule eq_resolve :premises (@p62 @p52)) 18.59/18.81 (step-pop @p1111 :rule scope :premises (@p63)) 18.59/18.81 (step @p64 :rule process_scope :premises (@p1111) :args (false)) 18.59/18.81 (step @p66 :rule eq_resolve :premises (@p64 @p36)) 18.59/18.81 (step @p67 :rule eq_resolve :premises (@p66 @p35)) 18.59/18.81 (step-pop @p1112 :rule scope :premises (@p67)) 18.59/18.81 (step @p68 :rule process_scope :premises (@p1112) :args (@t78)) 18.59/18.81 (step @p70 :rule modus_ponens :premises (@p32 @p68)) 18.59/18.81 (step-pop @p1113 :rule scope :premises (@p70)) 18.59/18.81 (step @p71 :rule process_scope :premises (@p1113) :args (@t78)) 18.59/18.81 (step @p73 :rule implies_elim :premises (@p71)) 18.59/18.81 (step @p74 :rule chain_resolution :premises (@p73 @p32) :args (@t79 (@list @t55))) 18.59/18.81 (step @p75 :rule arith_poly_norm :args ((= @t34 @t80))) 18.59/18.81 (step @p76 :rule refl :args (@t36)) 18.59/18.81 (step @p77 :rule cong :premises (@p76 @p75) :args (@t37)) 18.59/18.81 (step @p78 :rule refl :args (@t38)) 18.59/18.81 (step @p79 :rule cong :premises (@p78 @p77) :args (@t39)) 18.59/18.81 (step @p80 :rule cong :premises (@p79) :args (@t41)) 18.59/18.81 (step @p81 :rule eq_resolve :premises (@p12 @p80)) 18.59/18.81 (assume-push @p1115 @t84) 18.59/18.81 (assume-push @p1116 @t84) 18.59/18.81 (step @p84 :rule arith-elim-lt :args (@t86 1)) 18.59/18.81 (step @p85 :rule symm :premises (@p84)) 18.59/18.81 (assume-push @p1117 @t87) 18.59/18.81 (step @p38 :rule evaluate :args (@t62)) 18.59/18.81 (step @p87 :rule evaluate :args (@t88)) 18.59/18.81 (step @p88 :rule refl :args (0)) 18.59/18.81 (step @p89 :rule nary_cong :premises (@p16 @p88) :args (@t89)) 18.59/18.81 (step @p90 :rule trans :premises (@p89 @p87)) 18.59/18.81 (step @p44 :rule evaluate :args (@t66)) 18.59/18.81 (step @p91 :rule arith_poly_norm :args (@t91)) 18.59/18.81 (step @p92 :rule arith_poly_norm :args (@t93)) 18.59/18.81 (step @p93 :rule nary_cong :premises (@p92 @p91) :args (@t94)) 18.59/18.81 (step @p94 :rule trans :premises (@p93 @p44)) 18.59/18.81 (step @p95 :rule arith_poly_norm :args (@t97)) 18.59/18.81 (step @p96 :rule trans :premises (@p95 @p94)) 18.59/18.81 (step @p97 :rule cong :premises (@p96 @p90) :args ((<= @t96 @t89))) 18.59/18.81 (step @p98 :rule trans :premises (@p97 @p38)) 18.59/18.81 (step @p99 :rule arith_poly_norm :args (@t98)) 18.59/18.81 (step @p100 :rule arith_poly_norm_rel :premises (@p99) :args (@t100)) 18.59/18.81 (step @p101 :rule symm :premises (@p100)) 18.59/18.81 (step @p102 :rule eq_resolve :premises (@p1115 @p101)) 18.59/18.81 (step @p103 :rule arith_mult_neg :args (-1 @t87)) 18.59/18.81 (step @p58 :rule evaluate :args (@t77)) 18.59/18.81 (step @p59 :rule true_elim :premises (@p58)) 18.59/18.81 (step @p104 :rule and_intro :premises (@p59 @p1117)) 18.59/18.81 (step @p105 :rule modus_ponens :premises (@p104 @p103)) 18.59/18.81 (step @p106 :rule arith_sum_ub :premises (@p105 @p102)) 18.59/18.81 (step @p107 false :rule eq_resolve :premises (@p106 @p98)) 18.59/18.81 (step-pop @p1117 :rule scope :premises (@p107)) 18.59/18.81 (step @p108 :rule process_scope :premises (@p1117) :args (false)) 18.59/18.81 (step @p110 :rule eq_resolve :premises (@p108 @p85)) 18.59/18.81 (step @p111 :rule eq_resolve :premises (@p110 @p84)) 18.59/18.81 (step-pop @p1118 :rule scope :premises (@p111)) 18.59/18.81 (step @p112 :rule process_scope :premises (@p1118) :args (@t101)) 18.59/18.81 (step @p114 :rule modus_ponens :premises (@p1115 @p112)) 18.59/18.81 (step-pop @p1119 :rule scope :premises (@p114)) 18.59/18.81 (step @p115 :rule process_scope :premises (@p1119) :args (@t101)) 18.59/18.81 (step @p117 :rule implies_elim :premises (@p115)) 18.59/18.81 (step @p118 :rule instantiate :premises (@p27) :args (@t50)) 18.59/18.81 (step @p119 :rule cnf_equiv_pos1 :args (@t106)) 18.59/18.81 (step @p120 :rule reordering :premises (@p119) :args ((or @t104 @t107 (not @t106)))) 18.59/18.81 (step @p121 :rule arith_poly_norm :args ((= (* 1 (- @t51 @t102)) (* -1 @t108)))) 18.59/18.81 (step @p122 :rule arith_poly_norm_rel :premises (@p121) :args ((= @t110 @t109))) 18.59/18.81 (step @p123 :rule refl :args (@t105)) 18.59/18.81 (step @p124 :rule cong :premises (@p123 @p122) :args (@t111)) 18.59/18.81 (step @p125 :rule refl :args (@t28)) 18.59/18.81 (step @p126 :rule cong :premises (@p125 @p124) :args ((=> @t28 @t111))) 18.59/18.81 (assume-push @p1121 @t28) 18.59/18.81 (step @p128 :rule instantiate :premises (@p9) :args (@t50)) 18.59/18.81 (step-pop @p1121 :rule scope :premises (@p128)) 18.59/18.81 (step @p129 :rule process_scope :premises (@p1121) :args (@t111)) 18.59/18.81 (step @p131 :rule eq_resolve :premises (@p129 @p126)) 18.59/18.81 (step @p132 :rule implies_elim :premises (@p131)) 18.59/18.81 (step @p133 :rule chain_resolution :premises (@p132 @p9) :args (@t79 (@list @t28))) 18.59/18.81 (step @p134 :rule cnf_equiv_pos1 :args (@t112)) 18.59/18.81 (step @p135 :rule reordering :premises (@p134) :args ((or @t107 @t109 (not @t112)))) 18.59/18.81 (step @p136 :rule bool-double-not-elim :args (@t87)) 18.59/18.81 (step @p137 :rule refl :args (@t115)) 18.59/18.81 (step @p138 :rule refl :args (@t116)) 18.59/18.81 (step @p139 :rule refl :args (@t117)) 18.59/18.81 (step @p140 :rule refl :args (@t118)) 18.59/18.81 (step @p141 :rule bool-double-not-elim :args (@t121)) 18.59/18.81 (step @p142 :rule nary_cong :premises (@p141 @p140 @p139 @p138 @p137 @p136) :args ((or @t124 @t118 @t117 @t116 @t115 @t122))) 18.59/18.81 (assume-push @p1123 @t109) 18.59/18.81 (assume-push @p1124 @t123) 18.59/18.81 (assume-push @p1125 @t101) 18.59/18.81 (assume-push @p1126 @t114) 18.59/18.81 (assume-push @p1127 @t55) 18.59/18.81 (assume-push @p1128 @t104) 18.59/18.81 (assume-push @p1129 @t127) 18.59/18.81 (step @p150 :rule evaluate :args (@t128)) 18.59/18.81 (step @p151 :rule evaluate :args (@t129)) 18.59/18.81 (step @p152 :rule evaluate :args (@t130)) 18.59/18.81 (step @p88 :rule refl :args (0)) 18.59/18.81 (step @p40 :rule refl :args (-1)) 18.59/18.81 (step @p153 :rule refl :args (1)) 18.59/18.81 (step @p41 :rule evaluate :args (@t64)) 18.59/18.81 (step @p154 :rule evaluate :args (@t131)) 18.59/18.81 (step @p155 :rule nary_cong :premises (@p40 @p154 @p41 @p153 @p40 @p88) :args (@t132)) 18.59/18.81 (step @p156 :rule trans :premises (@p155 @p152)) 18.59/18.81 (step @p157 :rule arith_poly_norm :args (@t134)) 18.59/18.81 (step @p158 :rule arith_poly_norm :args (@t136)) 18.59/18.81 (step @p159 :rule refl :args (@t83)) 18.59/18.81 (step @p160 :rule refl :args (@t119)) 18.59/18.81 (step @p161 :rule refl :args (@t82)) 18.59/18.81 (step @p162 :rule refl :args (@t102)) 18.59/18.81 (step @p163 :rule refl :args (@t133)) 18.59/18.81 (step @p164 :rule refl :args (@t125)) 18.59/18.81 (step @p46 :rule arith_poly_norm :args (@t70)) 18.59/18.81 (step @p165 :rule refl :args (@t54)) 18.59/18.81 (step @p166 :rule refl :args (@t85)) 18.59/18.81 (step @p167 :rule nary_cong :premises (@p166 @p165 @p46 @p164 @p163 @p162 @p161 @p160 @p159 @p158) :args (@t137)) 18.59/18.81 (step @p168 :rule trans :premises (@p167 @p157)) 18.59/18.81 (step @p169 :rule arith_poly_norm :args (@t142)) 18.59/18.81 (step @p170 :rule trans :premises (@p169 @p168)) 18.59/18.81 (step @p171 :rule cong :premises (@p170 @p156) :args (@t143)) 18.59/18.81 (step @p172 :rule trans :premises (@p171 @p151)) 18.59/18.81 (step @p173 :rule cong :premises (@p172) :args (@t144)) 18.59/18.81 (step @p174 :rule trans :premises (@p173 @p150)) 18.59/18.81 (step @p175 :rule arith-elim-lt :args (@t141 @t132)) 18.59/18.81 (step @p176 :rule trans :premises (@p175 @p174)) 18.59/18.81 (step @p177 :rule arith_poly_norm :args (@t145)) 18.59/18.81 (step @p178 :rule arith_poly_norm_rel :premises (@p177) :args (@t147)) 18.59/18.81 (step @p179 :rule symm :premises (@p178)) 18.59/18.81 (step @p180 :rule eq_resolve :premises (@p1123 @p179)) 18.59/18.81 (step @p181 :rule arith-elim-lt :args (@t120 0)) 18.59/18.81 (step @p182 :rule symm :premises (@p181)) 18.59/18.81 (step @p183 :rule eq_resolve :premises (@p1124 @p182)) 18.59/18.81 (step @p184 :rule int_tight_ub :premises (@p183)) 18.59/18.81 (step @p84 :rule arith-elim-lt :args (@t86 1)) 18.59/18.81 (step @p85 :rule symm :premises (@p84)) 18.59/18.81 (step @p185 :rule eq_resolve :premises (@p1125 @p85)) 18.59/18.81 (step @p186 :rule arith_mult_neg :args (-1 @t148)) 18.59/18.81 (step @p187 :rule arith_poly_norm :args (@t149)) 18.59/18.81 (step @p188 :rule arith_poly_norm_rel :premises (@p187) :args (@t150)) 18.59/18.81 (step @p189 :rule symm :premises (@p188)) 18.59/18.81 (step @p190 :rule eq_resolve :premises (@p1126 @p189)) 18.59/18.81 (step @p58 :rule evaluate :args (@t77)) 18.59/18.81 (step @p59 :rule true_elim :premises (@p58)) 18.59/18.81 (step @p191 :rule and_intro :premises (@p59 @p190)) 18.59/18.81 (step @p192 :rule modus_ponens :premises (@p191 @p186)) 18.59/18.81 (step @p193 :rule arith_mult_neg :args (-1 @t75)) 18.59/18.81 (step @p53 :rule arith_poly_norm :args (@t74)) 18.59/18.81 (step @p54 :rule arith_poly_norm_rel :premises (@p53) :args (@t76)) 18.59/18.81 (step @p55 :rule symm :premises (@p54)) 18.59/18.81 (step @p56 :rule eq_resolve :premises (@p32 @p55)) 18.59/18.81 (step @p194 :rule and_intro :premises (@p59 @p56)) 18.59/18.81 (step @p195 :rule modus_ponens :premises (@p194 @p193)) 18.59/18.81 (step @p196 :rule arith_sum_ub :premises (@p1129 @p195 @p192 @p185 @p184 @p180)) 18.59/18.81 (step @p197 false :rule eq_resolve :premises (@p196 @p176)) 18.59/18.81 (step-pop @p1129 :rule scope :premises (@p197)) 18.59/18.81 (step @p198 :rule process_scope :premises (@p1129) :args (false)) 18.59/18.81 (step @p200 :rule arith_poly_norm :args (@t151)) 18.59/18.81 (step @p201 :rule arith_poly_norm_rel :premises (@p200) :args (@t152)) 18.59/18.81 (step @p202 :rule symm :premises (@p201)) 18.59/18.81 (step @p203 :rule eq_resolve :premises (@p1128 @p202)) 18.59/18.81 (step @p204 false :rule contra :premises (@p203 @p198)) 18.59/18.81 (step-pop @p1130 :rule scope :premises (@p204)) 18.59/18.81 (step-pop @p1131 :rule scope :premises (@p1130)) 18.59/18.81 (step-pop @p1132 :rule scope :premises (@p1131)) 18.59/18.81 (step-pop @p1133 :rule scope :premises (@p1132)) 18.59/18.81 (step-pop @p1134 :rule scope :premises (@p1133)) 18.59/18.81 (step-pop @p1135 :rule scope :premises (@p1134)) 18.59/18.81 (step @p205 :rule process_scope :premises (@p1135) :args (false)) 18.59/18.81 (assume-push @p1137 @t123) 18.59/18.81 (assume-push @p1138 @t104) 18.59/18.81 (assume-push @p1139 @t55) 18.59/18.81 (assume-push @p1140 @t109) 18.59/18.81 (assume-push @p1141 @t114) 18.59/18.81 (assume-push @p1142 @t101) 18.59/18.81 (step @p218 :rule and_intro :premises (@p1140 @p1137 @p1142 @p1141 @p32 @p1138)) 18.59/18.81 (step-pop @p1142 :rule scope :premises (@p218)) 18.59/18.81 (step-pop @p1143 :rule scope :premises (@p1142)) 18.59/18.81 (step-pop @p1144 :rule scope :premises (@p1143)) 18.59/18.81 (step-pop @p1145 :rule scope :premises (@p1144)) 18.59/18.81 (step-pop @p1146 :rule scope :premises (@p1145)) 18.59/18.81 (step-pop @p1147 :rule scope :premises (@p1146)) 18.59/18.81 (step @p219 :rule process_scope :premises (@p1147) :args (@t153)) 18.59/18.81 (step @p226 :rule implies_elim :premises (@p219)) 18.59/18.81 (step @p227 :rule resolution :premises (@p226 @p205) :args (true @t153)) 18.59/18.81 (step @p228 :rule not_and :premises (@p227)) 18.59/18.81 (step @p229 :rule eq_resolve :premises (@p228 @p142)) 18.59/18.81 (step @p230 :rule chain_resolution :premises (@p229 @p32 @p135 @p133 @p120 @p118) :args ((@list false false false false false) (@list @t55 @t109 @t112 @t104 @t106))) 18.59/18.81 (step @p231 :rule factoring :premises (@p230)) 18.59/18.81 (step @p232 :rule reordering :premises (@p231) :args ((or @t121 @t107 @t115 @t87))) 18.59/18.81 (step @p233 :rule instantiate :premises (@p7) :args (@t50)) 18.59/18.81 (step @p234 :rule bool-double-not-elim :args (@t105)) 18.59/18.81 (step @p235 :rule refl :args (@t154)) 18.59/18.81 (step @p236 :rule refl :args (@t156)) 18.59/18.81 (step @p237 :rule nary_cong :premises (@p236 @p235 @p234) :args ((or @t156 @t154 @t157))) 18.59/18.81 (step @p238 :rule cnf_equiv_pos2 :args (@t155)) 18.59/18.81 (step @p239 :rule eq_resolve :premises (@p238 @p237)) 18.59/18.81 (step @p240 :rule reordering :premises (@p239) :args ((or @t105 @t154 @t156))) 18.59/18.81 (step @p241 :rule arith_poly_norm :args ((= (* 1 (- @t51 @t159)) (* -1 @t158)))) 18.59/18.81 (step @p242 :rule arith_poly_norm_rel :premises (@p241) :args ((= @t161 @t160))) 18.59/18.81 (step @p243 :rule refl :args (@t107)) 18.59/18.81 (step @p244 :rule cong :premises (@p243 @p242) :args (@t162)) 18.59/18.81 (step @p245 :rule refl :args (@t163)) 18.59/18.81 (step @p246 :rule cong :premises (@p245 @p244) :args ((=> @t163 @t162))) 18.59/18.81 (assume-push @p1149 @t163) 18.59/18.81 (step @p248 :rule instantiate :premises (@p81) :args (@t50)) 18.59/18.81 (step-pop @p1149 :rule scope :premises (@p248)) 18.59/18.81 (step @p249 :rule process_scope :premises (@p1149) :args (@t162)) 18.59/18.81 (step @p251 :rule eq_resolve :premises (@p249 @p246)) 18.59/18.81 (step @p252 :rule implies_elim :premises (@p251)) 18.59/18.81 (step @p253 :rule chain_resolution :premises (@p252 @p81) :args (@t79 (@list @t163))) 18.59/18.81 (step @p254 :rule refl :args (@t160)) 18.59/18.81 (step @p255 :rule refl :args (@t165)) 18.59/18.81 (step @p256 :rule nary_cong :premises (@p255 @p234 @p254) :args ((or @t165 @t157 @t160))) 18.59/18.81 (step @p257 :rule cnf_equiv_pos1 :args (@t164)) 18.59/18.81 (step @p258 :rule eq_resolve :premises (@p257 @p256)) 18.59/18.81 (step @p259 :rule reordering :premises (@p258) :args ((or @t105 @t160 @t165))) 18.59/18.81 (step @p260 :rule skolemize :premises (@p13)) 18.59/18.81 (step @p261 :rule refl :args (@t166)) 18.59/18.81 (step @p262 :rule refl :args (@t167)) 18.59/18.81 (step @p263 :rule refl :args (@t168)) 18.59/18.81 (step @p264 :rule bool-double-not-elim :args (@t169)) 18.59/18.81 (step @p265 :rule nary_cong :premises (@p264 @p139 @p263 @p137 @p262 @p261) :args ((or @t171 @t117 @t168 @t115 @t167 @t166))) 18.59/18.81 (assume-push @p1151 @t84) 18.59/18.81 (assume-push @p1152 @t154) 18.59/18.81 (assume-push @p1153 @t160) 18.59/18.81 (assume-push @p1154 @t55) 18.59/18.81 (assume-push @p1155 @t114) 18.59/18.81 (assume-push @p1156 @t170) 18.59/18.81 (step @p272 :rule evaluate :args ((= false true))) 18.59/18.81 (step @p273 :rule symm :premises (@p1151)) 18.59/18.81 (step @p274 :rule symm :premises (@p1152)) 18.59/18.81 (step @p275 :rule symm :premises (@p1153)) 18.59/18.81 (step @p276 :rule trans :premises (@p1155 @p32 @p275 @p274 @p273)) 18.59/18.81 (step @p277 :rule true_intro :premises (@p276)) 18.59/18.81 (step @p278 :rule false_intro :premises (@p260)) 18.59/18.81 (step @p279 :rule symm :premises (@p278)) 18.59/18.81 (step @p280 :rule trans :premises (@p279 @p277)) 18.59/18.81 (step @p281 false :rule eq_resolve :premises (@p280 @p272)) 18.59/18.81 (step-pop @p1156 :rule scope :premises (@p281)) 18.59/18.81 (step-pop @p1157 :rule scope :premises (@p1156)) 18.59/18.81 (step-pop @p1158 :rule scope :premises (@p1157)) 18.59/18.81 (step-pop @p1159 :rule scope :premises (@p1158)) 18.59/18.81 (step-pop @p1160 :rule scope :premises (@p1159)) 18.59/18.81 (step-pop @p1161 :rule scope :premises (@p1160)) 18.59/18.81 (step @p282 :rule process_scope :premises (@p1161) :args (false)) 18.59/18.81 (assume-push @p1163 @t170) 18.59/18.81 (assume-push @p1164 @t55) 18.59/18.81 (assume-push @p1165 @t154) 18.59/18.81 (assume-push @p1166 @t114) 18.59/18.81 (assume-push @p1167 @t84) 18.59/18.81 (assume-push @p1168 @t160) 18.59/18.81 (step @p295 :rule and_intro :premises (@p1167 @p1165 @p1168 @p32 @p1166 @p260)) 18.59/18.81 (step-pop @p1168 :rule scope :premises (@p295)) 18.59/18.81 (step-pop @p1169 :rule scope :premises (@p1168)) 18.59/18.81 (step-pop @p1170 :rule scope :premises (@p1169)) 18.59/18.81 (step-pop @p1171 :rule scope :premises (@p1170)) 18.59/18.81 (step-pop @p1172 :rule scope :premises (@p1171)) 18.59/18.81 (step-pop @p1173 :rule scope :premises (@p1172)) 18.59/18.81 (step @p296 :rule process_scope :premises (@p1173) :args (@t172)) 18.59/18.81 (step @p303 :rule implies_elim :premises (@p296)) 18.59/18.81 (step @p304 :rule resolution :premises (@p303 @p282) :args (true @t172)) 18.59/18.81 (step @p305 :rule not_and :premises (@p304)) 18.59/18.81 (step @p306 :rule eq_resolve :premises (@p305 @p265)) 18.59/18.81 (step @p307 :rule chain_resolution :premises (@p306 @p32 @p260 @p259 @p253 @p240 @p233) :args ((@list false true false false false false) (@list @t55 @t169 @t160 @t164 @t154 @t155))) 18.59/18.81 (step @p308 :rule factoring :premises (@p307)) 18.59/18.81 (step @p309 :rule chain_resolution :premises (@p308 @p232 @p117) :args (@t173 (@list @t105 @t87))) 18.59/18.81 (step @p310 :rule factoring :premises (@p309)) 18.59/18.81 (step @p311 :rule reordering :premises (@p310) :args ((or @t121 @t115 @t167))) 18.59/18.81 (assume-push @p1175 @t28) 18.59/18.81 (step @p313 :rule instantiate :premises (@p9) :args (@t174)) 18.59/18.81 (step-pop @p1175 :rule scope :premises (@p313)) 18.59/18.81 (step @p314 :rule process_scope :premises (@p1175) :args (@t176)) 18.59/18.81 (step @p316 :rule implies_elim :premises (@p314)) 18.59/18.81 (step @p317 :rule cnf_equiv_pos1 :args (@t176)) 18.59/18.81 (step @p318 :rule reordering :premises (@p317) :args ((or @t114 @t177 (not @t176)))) 18.59/18.81 (assume-push @p1177 @t163) 18.59/18.81 (step @p320 :rule instantiate :premises (@p81) :args (@t174)) 18.59/18.81 (step-pop @p1177 :rule scope :premises (@p320)) 18.59/18.81 (step @p321 :rule process_scope :premises (@p1177) :args (@t180)) 18.59/18.81 (step @p323 :rule implies_elim :premises (@p321)) 18.59/18.81 (step @p324 :rule refl :args (@t179)) 18.59/18.81 (step @p325 :rule bool-double-not-elim :args (@t175)) 18.59/18.81 (step @p326 :rule refl :args (@t181)) 18.59/18.81 (step @p327 :rule nary_cong :premises (@p326 @p325 @p324) :args ((or @t181 (not @t177) @t179))) 18.59/18.81 (step @p328 :rule cnf_equiv_pos1 :args (@t180)) 18.59/18.81 (step @p329 :rule eq_resolve :premises (@p328 @p327)) 18.59/18.81 (step @p330 :rule reordering :premises (@p329) :args ((or @t175 @t179 @t181))) 18.59/18.81 (assume-push @p1179 @t179) 18.59/18.81 (assume-push @p1180 @t179) 18.59/18.81 (step @p333 :rule bool-double-not-elim :args (@t182)) 18.59/18.81 (step @p334 :rule arith-elim-lt :args (@t139 0)) 18.59/18.81 (step @p335 :rule cong :premises (@p334) :args ((not @t183))) 18.59/18.81 (step @p336 :rule trans :premises (@p335 @p333)) 18.59/18.81 (assume-push @p1181 @t183) 18.59/18.81 (step @p150 :rule evaluate :args (@t128)) 18.59/18.81 (step @p338 :rule evaluate :args ((>= 0 -1))) 18.59/18.81 (step @p39 :rule evaluate :args (@t63)) 18.59/18.81 (step @p88 :rule refl :args (0)) 18.59/18.81 (step @p339 :rule nary_cong :premises (@p88 @p16) :args (@t184)) 18.59/18.81 (step @p340 :rule trans :premises (@p339 @p39)) 18.59/18.81 (step @p44 :rule evaluate :args (@t66)) 18.59/18.81 (step @p158 :rule arith_poly_norm :args (@t136)) 18.59/18.81 (step @p45 :rule arith_poly_norm :args (@t68)) 18.59/18.81 (step @p341 :rule nary_cong :premises (@p45 @p158) :args (@t185)) 18.59/18.81 (step @p342 :rule trans :premises (@p341 @p44)) 18.59/18.81 (step @p343 :rule arith_poly_norm :args ((= @t186 @t185))) 18.59/18.81 (step @p344 :rule trans :premises (@p343 @p342)) 18.59/18.81 (step @p345 :rule cong :premises (@p344 @p340) :args (@t187)) 18.59/18.81 (step @p346 :rule trans :premises (@p345 @p338)) 18.59/18.81 (step @p347 :rule cong :premises (@p346) :args ((not @t187))) 18.59/18.81 (step @p348 :rule trans :premises (@p347 @p150)) 18.59/18.81 (step @p349 :rule arith-elim-lt :args (@t186 @t184)) 18.59/18.81 (step @p350 :rule trans :premises (@p349 @p348)) 18.59/18.81 (step @p351 :rule arith_mult_neg :args (-1 @t188)) 18.59/18.81 (step @p352 :rule arith_poly_norm :args (@t189)) 18.59/18.81 (step @p353 :rule arith_poly_norm_rel :premises (@p352) :args (@t190)) 18.59/18.81 (step @p354 :rule symm :premises (@p353)) 18.59/18.81 (step @p355 :rule eq_resolve :premises (@p1179 @p354)) 18.59/18.81 (step @p58 :rule evaluate :args (@t77)) 18.59/18.81 (step @p59 :rule true_elim :premises (@p58)) 18.59/18.81 (step @p356 :rule and_intro :premises (@p59 @p355)) 18.59/18.81 (step @p357 :rule modus_ponens :premises (@p356 @p351)) 18.59/18.81 (step @p358 :rule arith_sum_ub :premises (@p1181 @p357)) 18.59/18.81 (step @p359 false :rule eq_resolve :premises (@p358 @p350)) 18.59/18.81 (step-pop @p1181 :rule scope :premises (@p359)) 18.59/18.81 (step @p360 :rule process_scope :premises (@p1181) :args (false)) 18.59/18.81 (step @p362 :rule eq_resolve :premises (@p360 @p336)) 18.59/18.81 (step-pop @p1182 :rule scope :premises (@p362)) 18.59/18.81 (step @p363 :rule process_scope :premises (@p1182) :args (@t182)) 18.59/18.81 (step @p365 :rule modus_ponens :premises (@p1179 @p363)) 18.59/18.81 (step-pop @p1183 :rule scope :premises (@p365)) 18.59/18.81 (step @p366 :rule process_scope :premises (@p1183) :args (@t182)) 18.59/18.81 (step @p368 :rule implies_elim :premises (@p366)) 18.59/18.81 (step @p369 :rule refl :args (@t191)) 18.59/18.81 (step @p370 :rule nary_cong :premises (@p141 @p139 @p263 @p262 @p261 @p369) :args ((or @t124 @t117 @t168 @t167 @t166 @t191))) 18.59/18.81 (assume-push @p1185 @t182) 18.59/18.81 (assume-push @p1186 @t123) 18.59/18.81 (assume-push @p1187 @t192) 18.59/18.81 (assume-push @p1188 @t194) 18.59/18.81 (step @p150 :rule evaluate :args (@t128)) 18.59/18.81 (step @p151 :rule evaluate :args (@t129)) 18.59/18.81 (step @p375 :rule evaluate :args ((+ 0 0 0))) 18.59/18.81 (step @p41 :rule evaluate :args (@t64)) 18.59/18.81 (step @p88 :rule refl :args (0)) 18.59/18.81 (step @p376 :rule nary_cong :premises (@p88 @p88 @p41) :args (@t195)) 18.59/18.81 (step @p377 :rule trans :premises (@p376 @p375)) 18.59/18.81 (step @p378 :rule arith_poly_norm :args ((= (+ 0 @t119 @t83 0) 0))) 18.59/18.81 (step @p158 :rule arith_poly_norm :args (@t136)) 18.59/18.81 (step @p159 :rule refl :args (@t83)) 18.59/18.81 (step @p160 :rule refl :args (@t119)) 18.59/18.81 (step @p45 :rule arith_poly_norm :args (@t68)) 18.59/18.81 (step @p379 :rule nary_cong :premises (@p45 @p160 @p159 @p158) :args (@t196)) 18.59/18.81 (step @p380 :rule trans :premises (@p379 @p378)) 18.59/18.81 (step @p381 :rule arith_poly_norm :args ((= @t197 @t196))) 18.59/18.81 (step @p382 :rule trans :premises (@p381 @p380)) 18.59/18.81 (step @p383 :rule cong :premises (@p382 @p377) :args (@t198)) 18.59/18.81 (step @p384 :rule trans :premises (@p383 @p151)) 18.59/18.81 (step @p385 :rule cong :premises (@p384) :args ((not @t198))) 18.59/18.81 (step @p386 :rule trans :premises (@p385 @p150)) 18.59/18.81 (step @p387 :rule arith-elim-lt :args (@t197 @t195)) 18.59/18.81 (step @p388 :rule trans :premises (@p387 @p386)) 18.59/18.81 (step @p389 :rule arith_mult_neg :args (-1 @t182)) 18.59/18.81 (step @p58 :rule evaluate :args (@t77)) 18.59/18.81 (step @p59 :rule true_elim :premises (@p58)) 18.59/18.81 (step @p390 :rule and_intro :premises (@p59 @p1185)) 18.59/18.81 (step @p391 :rule modus_ponens :premises (@p390 @p389)) 18.59/18.81 (step @p181 :rule arith-elim-lt :args (@t120 0)) 18.59/18.81 (step @p182 :rule symm :premises (@p181)) 18.59/18.81 (step @p392 :rule eq_resolve :premises (@p1186 @p182)) 18.59/18.81 (step @p393 :rule arith_sum_ub :premises (@p1188 @p392 @p391)) 18.59/18.81 (step @p394 false :rule eq_resolve :premises (@p393 @p388)) 18.59/18.81 (step-pop @p1188 :rule scope :premises (@p394)) 18.59/18.81 (step @p395 :rule process_scope :premises (@p1188) :args (false)) 18.59/18.81 (step @p397 :rule arith_poly_norm :args ((= (* 1 (- @t193 0)) (* 1 (- @t83 @t54))))) 18.59/18.81 (step @p398 :rule arith_poly_norm_rel :premises (@p397) :args ((= @t194 @t192))) 18.59/18.81 (step @p399 :rule symm :premises (@p398)) 18.59/18.81 (step @p400 :rule eq_resolve :premises (@p1187 @p399)) 18.59/18.81 (step @p401 false :rule contra :premises (@p400 @p395)) 18.59/18.81 (step-pop @p1189 :rule scope :premises (@p401)) 18.59/18.81 (step-pop @p1190 :rule scope :premises (@p1189)) 18.59/18.81 (step-pop @p1191 :rule scope :premises (@p1190)) 18.59/18.81 (step @p402 :rule process_scope :premises (@p1191) :args (false)) 18.59/18.81 (assume-push @p1193 @t123) 18.59/18.81 (assume-push @p1194 @t55) 18.59/18.81 (assume-push @p1195 @t154) 18.59/18.81 (assume-push @p1196 @t84) 18.59/18.81 (assume-push @p1197 @t160) 18.59/18.81 (assume-push @p1198 @t182) 18.59/18.81 (assume-push @p1199 @t55) 18.59/18.81 (assume-push @p1200 @t160) 18.59/18.81 (assume-push @p1201 @t154) 18.59/18.81 (assume-push @p1202 @t84) 18.59/18.81 (step @p416 :rule symm :premises (@p32)) 18.59/18.81 (step @p417 :rule trans :premises (@p1196 @p1195 @p1197 @p416)) 18.59/18.81 (step-pop @p1202 :rule scope :premises (@p417)) 18.59/18.81 (step-pop @p1203 :rule scope :premises (@p1202)) 18.59/18.81 (step-pop @p1204 :rule scope :premises (@p1203)) 18.59/18.81 (step-pop @p1205 :rule scope :premises (@p1204)) 18.59/18.81 (step @p418 :rule process_scope :premises (@p1205) :args (@t192)) 18.59/18.81 (step @p423 :rule and_intro :premises (@p32 @p1197 @p1195 @p1196)) 18.59/18.81 (step @p424 :rule modus_ponens :premises (@p423 @p418)) 18.59/18.81 (step @p425 :rule and_intro :premises (@p1198 @p1193 @p424)) 18.59/18.81 (step-pop @p1206 :rule scope :premises (@p425)) 18.59/18.81 (step-pop @p1207 :rule scope :premises (@p1206)) 18.59/18.81 (step-pop @p1208 :rule scope :premises (@p1207)) 18.59/18.81 (step-pop @p1209 :rule scope :premises (@p1208)) 18.59/18.81 (step-pop @p1210 :rule scope :premises (@p1209)) 18.59/18.81 (step-pop @p1211 :rule scope :premises (@p1210)) 18.59/18.81 (step @p426 :rule process_scope :premises (@p1211) :args (@t199)) 18.59/18.81 (step @p433 :rule implies_elim :premises (@p426)) 18.59/18.81 (step @p434 :rule resolution :premises (@p433 @p402) :args (true @t199)) 18.59/18.81 (step @p435 :rule not_and :premises (@p434)) 18.59/18.81 (step @p436 :rule eq_resolve :premises (@p435 @p370)) 18.59/18.81 (step @p437 :rule chain_resolution :premises (@p436 @p32 @p259 @p253 @p240 @p233 @p368 @p330 @p323 @p81 @p318 @p316 @p9 @p311) :args ((@list false false false false false false false false false true false false true) (@list @t55 @t160 @t164 @t154 @t155 @t182 @t179 @t180 @t163 @t175 @t176 @t28 @t114))) 18.59/18.81 (step @p438 :rule factoring :premises (@p437)) 18.59/18.81 (step @p439 :rule reordering :premises (@p438) :args ((or @t121 @t105 @t167))) 18.59/18.81 (step @p313 :rule instantiate :premises (@p9) :args (@t174)) 18.59/18.81 (step @p320 :rule instantiate :premises (@p81) :args (@t174)) 18.59/18.81 (step @p440 :rule nary_cong :premises (@p141 @p140 @p139 @p138 @p136 @p369) :args ((or @t124 @t118 @t117 @t116 @t122 @t191))) 18.59/18.81 (assume-push @p1213 @t109) 18.59/18.81 (assume-push @p1214 @t123) 18.59/18.81 (assume-push @p1215 @t101) 18.59/18.81 (assume-push @p1216 @t182) 18.59/18.81 (assume-push @p1217 @t55) 18.59/18.81 (assume-push @p1218 @t104) 18.59/18.81 (assume-push @p1219 @t127) 18.59/18.81 (step @p150 :rule evaluate :args (@t128)) 18.59/18.81 (step @p151 :rule evaluate :args (@t129)) 18.59/18.81 (step @p152 :rule evaluate :args (@t130)) 18.59/18.81 (step @p88 :rule refl :args (0)) 18.59/18.81 (step @p40 :rule refl :args (-1)) 18.59/18.81 (step @p153 :rule refl :args (1)) 18.59/18.81 (step @p41 :rule evaluate :args (@t64)) 18.59/18.81 (step @p154 :rule evaluate :args (@t131)) 18.59/18.81 (step @p155 :rule nary_cong :premises (@p40 @p154 @p41 @p153 @p40 @p88) :args (@t132)) 18.59/18.81 (step @p156 :rule trans :premises (@p155 @p152)) 18.59/18.81 (step @p157 :rule arith_poly_norm :args (@t134)) 18.59/18.81 (step @p158 :rule arith_poly_norm :args (@t136)) 18.59/18.81 (step @p159 :rule refl :args (@t83)) 18.59/18.81 (step @p160 :rule refl :args (@t119)) 18.59/18.81 (step @p161 :rule refl :args (@t82)) 18.59/18.81 (step @p162 :rule refl :args (@t102)) 18.59/18.81 (step @p163 :rule refl :args (@t133)) 18.59/18.81 (step @p164 :rule refl :args (@t125)) 18.59/18.81 (step @p46 :rule arith_poly_norm :args (@t70)) 18.59/18.81 (step @p165 :rule refl :args (@t54)) 18.59/18.81 (step @p166 :rule refl :args (@t85)) 18.59/18.81 (step @p167 :rule nary_cong :premises (@p166 @p165 @p46 @p164 @p163 @p162 @p161 @p160 @p159 @p158) :args (@t137)) 18.59/18.81 (step @p168 :rule trans :premises (@p167 @p157)) 18.59/18.81 (step @p169 :rule arith_poly_norm :args (@t142)) 18.59/18.81 (step @p170 :rule trans :premises (@p169 @p168)) 18.59/18.81 (step @p171 :rule cong :premises (@p170 @p156) :args (@t143)) 18.59/18.81 (step @p172 :rule trans :premises (@p171 @p151)) 18.59/18.81 (step @p173 :rule cong :premises (@p172) :args (@t144)) 18.59/18.81 (step @p174 :rule trans :premises (@p173 @p150)) 18.59/18.81 (step @p175 :rule arith-elim-lt :args (@t141 @t132)) 18.59/18.81 (step @p176 :rule trans :premises (@p175 @p174)) 18.59/18.81 (step @p177 :rule arith_poly_norm :args (@t145)) 18.59/18.81 (step @p178 :rule arith_poly_norm_rel :premises (@p177) :args (@t147)) 18.59/18.81 (step @p179 :rule symm :premises (@p178)) 18.59/18.81 (step @p448 :rule eq_resolve :premises (@p1213 @p179)) 18.59/18.81 (step @p181 :rule arith-elim-lt :args (@t120 0)) 18.59/18.81 (step @p182 :rule symm :premises (@p181)) 18.59/18.81 (step @p449 :rule eq_resolve :premises (@p1214 @p182)) 18.59/18.81 (step @p450 :rule int_tight_ub :premises (@p449)) 18.59/18.81 (step @p84 :rule arith-elim-lt :args (@t86 1)) 18.59/18.81 (step @p85 :rule symm :premises (@p84)) 18.59/18.81 (step @p451 :rule eq_resolve :premises (@p1215 @p85)) 18.59/18.81 (step @p389 :rule arith_mult_neg :args (-1 @t182)) 18.59/18.81 (step @p58 :rule evaluate :args (@t77)) 18.59/18.81 (step @p59 :rule true_elim :premises (@p58)) 18.59/18.81 (step @p452 :rule and_intro :premises (@p59 @p1216)) 18.59/18.81 (step @p453 :rule modus_ponens :premises (@p452 @p389)) 18.59/18.81 (step @p193 :rule arith_mult_neg :args (-1 @t75)) 18.59/18.81 (step @p53 :rule arith_poly_norm :args (@t74)) 18.59/18.81 (step @p54 :rule arith_poly_norm_rel :premises (@p53) :args (@t76)) 18.59/18.81 (step @p55 :rule symm :premises (@p54)) 18.59/18.81 (step @p56 :rule eq_resolve :premises (@p32 @p55)) 18.59/18.81 (step @p194 :rule and_intro :premises (@p59 @p56)) 18.59/18.81 (step @p195 :rule modus_ponens :premises (@p194 @p193)) 18.59/18.81 (step @p454 :rule arith_sum_ub :premises (@p1219 @p195 @p453 @p451 @p450 @p448)) 18.59/18.81 (step @p455 false :rule eq_resolve :premises (@p454 @p176)) 18.59/18.81 (step-pop @p1219 :rule scope :premises (@p455)) 18.59/18.81 (step @p456 :rule process_scope :premises (@p1219) :args (false)) 18.59/18.81 (step @p200 :rule arith_poly_norm :args (@t151)) 18.59/18.81 (step @p201 :rule arith_poly_norm_rel :premises (@p200) :args (@t152)) 18.59/18.81 (step @p202 :rule symm :premises (@p201)) 18.59/18.81 (step @p458 :rule eq_resolve :premises (@p1218 @p202)) 18.59/18.81 (step @p459 false :rule contra :premises (@p458 @p456)) 18.59/18.81 (step-pop @p1220 :rule scope :premises (@p459)) 18.59/18.81 (step-pop @p1221 :rule scope :premises (@p1220)) 18.59/18.81 (step-pop @p1222 :rule scope :premises (@p1221)) 18.59/18.81 (step-pop @p1223 :rule scope :premises (@p1222)) 18.59/18.81 (step-pop @p1224 :rule scope :premises (@p1223)) 18.59/18.81 (step-pop @p1225 :rule scope :premises (@p1224)) 18.59/18.81 (step @p460 :rule process_scope :premises (@p1225) :args (false)) 18.59/18.81 (assume-push @p1227 @t123) 18.59/18.81 (assume-push @p1228 @t104) 18.59/18.81 (assume-push @p1229 @t55) 18.59/18.81 (assume-push @p1230 @t109) 18.59/18.81 (assume-push @p1231 @t101) 18.59/18.81 (assume-push @p1232 @t182) 18.59/18.81 (step @p473 :rule and_intro :premises (@p1230 @p1227 @p1231 @p1232 @p32 @p1228)) 18.59/18.81 (step-pop @p1232 :rule scope :premises (@p473)) 18.59/18.81 (step-pop @p1233 :rule scope :premises (@p1232)) 18.59/18.81 (step-pop @p1234 :rule scope :premises (@p1233)) 18.59/18.81 (step-pop @p1235 :rule scope :premises (@p1234)) 18.59/18.81 (step-pop @p1236 :rule scope :premises (@p1235)) 18.59/18.81 (step-pop @p1237 :rule scope :premises (@p1236)) 18.59/18.81 (step @p474 :rule process_scope :premises (@p1237) :args (@t200)) 18.59/18.81 (step @p481 :rule implies_elim :premises (@p474)) 18.59/18.81 (step @p482 :rule resolution :premises (@p481 @p460) :args (true @t200)) 18.59/18.81 (step @p483 :rule not_and :premises (@p482)) 18.59/18.81 (step @p484 :rule eq_resolve :premises (@p483 @p440)) 18.59/18.81 (step @p485 :rule chain_resolution :premises (@p484 @p32 @p135 @p133 @p120 @p118 @p368 @p330 @p320 @p318 @p313 @p311 @p117) :args ((@list false false false false false false false false true false true true) (@list @t55 @t109 @t112 @t104 @t106 @t182 @t179 @t180 @t175 @t176 @t114 @t87))) 18.59/18.81 (step @p486 :rule factoring :premises (@p485)) 18.59/18.81 (step @p487 :rule chain_resolution :premises (@p486 @p439) :args (@t79 (@list @t105))) 18.59/18.81 (step @p488 :rule factoring :premises (@p487)) 18.59/18.81 (assume-push @p1239 @t28) 18.59/18.81 (step @p490 :rule instantiate :premises (@p9) :args (@t201)) 18.59/18.81 (step-pop @p1239 :rule scope :premises (@p490)) 18.59/18.81 (step @p491 :rule process_scope :premises (@p1239) :args (@t203)) 18.59/18.81 (step @p493 :rule implies_elim :premises (@p491)) 18.59/18.81 (step @p494 :rule cnf_equiv_pos1 :args (@t203)) 18.59/18.81 (step @p495 :rule reordering :premises (@p494) :args ((or @t84 @t204 (not @t203)))) 18.59/18.81 (assume-push @p1241 @t163) 18.59/18.81 (step @p497 :rule instantiate :premises (@p81) :args (@t201)) 18.59/18.81 (step-pop @p1241 :rule scope :premises (@p497)) 18.59/18.81 (step @p498 :rule process_scope :premises (@p1241) :args (@t207)) 18.59/18.81 (step @p500 :rule implies_elim :premises (@p498)) 18.59/18.81 (step @p501 :rule refl :args (@t206)) 18.59/18.81 (step @p502 :rule bool-double-not-elim :args (@t202)) 18.59/18.81 (step @p503 :rule refl :args (@t208)) 18.59/18.81 (step @p504 :rule nary_cong :premises (@p503 @p502 @p501) :args ((or @t208 (not @t204) @t206))) 18.59/18.81 (step @p505 :rule cnf_equiv_pos1 :args (@t207)) 18.59/18.81 (step @p506 :rule eq_resolve :premises (@p505 @p504)) 18.59/18.81 (step @p507 :rule reordering :premises (@p506) :args ((or @t202 @t206 @t208))) 18.59/18.81 (step @p508 :rule refl :args (@t209)) 18.59/18.81 (step @p509 :rule arith_poly_norm :args ((= (* 1 (- 0 @t47)) (* -1 (- @t47 0))))) 18.59/18.81 (step @p510 :rule arith_poly_norm_rel :premises (@p509) :args ((= @t211 @t210))) 18.59/18.81 (step @p511 :rule cong :premises (@p510) :args (@t212)) 18.59/18.81 (step @p512 :rule nary_cong :premises (@p511 @p508) :args (@t213)) 18.59/18.81 (step @p513 :rule refl :args (@t202)) 18.59/18.81 (step @p514 :rule cong :premises (@p513 @p512) :args (@t214)) 18.59/18.81 (step @p515 :rule refl :args (@t9)) 18.59/18.81 (step @p516 :rule cong :premises (@p515 @p514) :args ((=> @t9 @t214))) 18.59/18.81 (assume-push @p1243 @t9) 18.59/18.81 (step @p518 :rule instantiate :premises (@p3) :args (@t215)) 18.59/18.81 (step-pop @p1243 :rule scope :premises (@p518)) 18.59/18.81 (step @p519 :rule process_scope :premises (@p1243) :args (@t214)) 18.59/18.81 (step @p521 :rule eq_resolve :premises (@p519 @p516)) 18.59/18.81 (step @p522 :rule implies_elim :premises (@p521)) 18.59/18.81 (step @p523 :rule cnf_equiv_pos2 :args (@t218)) 18.59/18.81 (step @p524 :rule reordering :premises (@p523) :args ((or @t202 @t220 @t219))) 18.59/18.81 (step @p525 :rule instantiate :premises (@p5) :args (@t49)) 18.59/18.81 (step @p526 :rule refl :args (@t177)) 18.59/18.81 (step @p527 :rule bool-double-not-elim :args (@t221)) 18.59/18.81 (step @p528 :rule refl :args (@t216)) 18.59/18.81 (step @p529 :rule nary_cong :premises (@p528 @p527 @p526) :args ((or @t216 (not @t222) @t177))) 18.59/18.81 (assume-push @p1245 @t222) 18.59/18.81 (assume-push @p1246 @t211) 18.59/18.81 (assume-push @p1247 @t175) 18.59/18.81 (step @p533 :rule evaluate :args ((= true false))) 18.59/18.81 (step @p534 :rule false_intro :premises (@p525)) 18.59/18.81 (step @p535 :rule refl :args (@t53)) 18.59/18.81 (step @p536 :rule cong :premises (@p1246 @p535) :args (@t175)) 18.59/18.81 (step @p537 :rule true_intro :premises (@p1247)) 18.59/18.81 (step @p538 :rule symm :premises (@p537)) 18.59/18.81 (step @p539 :rule trans :premises (@p538 @p536 @p534)) 18.59/18.81 (step @p540 false :rule eq_resolve :premises (@p539 @p533)) 18.59/18.81 (step-pop @p1247 :rule scope :premises (@p540)) 18.59/18.81 (step-pop @p1248 :rule scope :premises (@p1247)) 18.59/18.81 (step-pop @p1249 :rule scope :premises (@p1248)) 18.59/18.81 (step @p541 :rule process_scope :premises (@p1249) :args (false)) 18.59/18.81 (assume-push @p1251 @t210) 18.59/18.81 (assume-push @p1252 @t222) 18.59/18.81 (assume-push @p1253 @t175) 18.59/18.81 (assume-push @p1254 @t210) 18.59/18.81 (step @p549 :rule symm :premises (@p1251)) 18.59/18.81 (step-pop @p1254 :rule scope :premises (@p549)) 18.59/18.81 (step @p550 :rule process_scope :premises (@p1254) :args (@t211)) 18.59/18.81 (step @p552 :rule modus_ponens :premises (@p1251 @p550)) 18.59/18.81 (step @p553 :rule and_intro :premises (@p525 @p552 @p1253)) 18.59/18.81 (step-pop @p1255 :rule scope :premises (@p553)) 18.59/18.81 (step-pop @p1256 :rule scope :premises (@p1255)) 18.59/18.81 (step-pop @p1257 :rule scope :premises (@p1256)) 18.59/18.81 (step @p554 :rule process_scope :premises (@p1257) :args (@t223)) 18.59/18.81 (step @p558 :rule implies_elim :premises (@p554)) 18.59/18.81 (step @p559 :rule resolution :premises (@p558 @p541) :args (true @t223)) 18.59/18.81 (step @p560 :rule not_and :premises (@p559)) 18.59/18.81 (step @p561 :rule eq_resolve :premises (@p560 @p529)) 18.59/18.81 (step @p562 :rule refl :args (@t224)) 18.59/18.81 (step @p563 :rule nary_cong :premises (@p511 @p562) :args (@t225)) 18.59/18.81 (step @p564 :rule refl :args (@t175)) 18.59/18.81 (step @p565 :rule cong :premises (@p564 @p563) :args (@t226)) 18.59/18.81 (step @p566 :rule cong :premises (@p515 @p565) :args ((=> @t9 @t226))) 18.59/18.81 (assume-push @p1259 @t9) 18.59/18.81 (step @p568 :rule instantiate :premises (@p3) :args ((@list 0 @t48 @t47))) 18.59/18.81 (step-pop @p1259 :rule scope :premises (@p568)) 18.59/18.81 (step @p569 :rule process_scope :premises (@p1259) :args (@t226)) 18.59/18.81 (step @p571 :rule eq_resolve :premises (@p569 @p566)) 18.59/18.81 (step @p572 :rule implies_elim :premises (@p571)) 18.59/18.81 (step @p573 :rule chain_resolution :premises (@p572 @p3) :args (@t79 @t227)) 18.59/18.81 (step @p574 :rule cnf_equiv_pos1 :args (@t229)) 18.59/18.81 (step @p575 :rule reordering :premises (@p574) :args ((or @t177 @t228 @t230))) 18.59/18.81 (step @p576 :rule refl :args (@t231)) 18.59/18.81 (step @p577 :rule bool-double-not-elim :args (@t210)) 18.59/18.81 (step @p578 :rule refl :args (@t217)) 18.59/18.81 (step @p579 :rule nary_cong :premises (@p578 @p577 @p576) :args ((or @t217 @t232 @t231))) 18.59/18.81 (step @p580 :rule cnf_and_neg :args (@t217)) 18.59/18.81 (step @p581 :rule eq_resolve :premises (@p580 @p579)) 18.59/18.81 (step @p582 :rule reordering :premises (@p581) :args ((or @t210 @t217 @t231))) 18.59/18.81 (step @p583 :rule cnf_and_pos :args (@t228 1)) 18.59/18.81 (step @p584 :rule reordering :premises (@p583) :args ((or @t224 @t233))) 18.59/18.81 (step @p585 :rule cnf_or_pos :args (@t234)) 18.59/18.81 (step @p586 :rule reordering :premises (@p585) :args ((or @t210 @t209 @t235))) 18.59/18.81 (step @p587 :rule nary_cong :premises (@p508 @p510) :args (@t236)) 18.59/18.81 (step @p588 :rule cong :premises (@p562 @p587) :args ((= @t224 @t236))) 18.59/18.81 (step @p589 :rule eq-symm :args (@t236 @t224)) 18.59/18.81 (step @p590 :rule trans :premises (@p589 @p588)) 18.59/18.81 (step @p591 :rule refl :args (@t5)) 18.59/18.81 (step @p592 :rule cong :premises (@p591 @p590) :args ((=> @t5 @t237))) 18.59/18.81 (assume-push @p1261 @t5) 18.59/18.81 (step @p594 :rule instantiate :premises (@p2) :args (@t215)) 18.59/18.81 (step-pop @p1261 :rule scope :premises (@p594)) 18.59/18.81 (step @p595 :rule process_scope :premises (@p1261) :args (@t237)) 18.59/18.81 (step @p597 :rule eq_resolve :premises (@p595 @p592)) 18.59/18.81 (step @p598 :rule implies_elim :premises (@p597)) 18.59/18.81 (step @p599 :rule chain_resolution :premises (@p598 @p2) :args (@t79 (@list @t5))) 18.59/18.81 (step @p600 :rule cnf_equiv_pos1 :args (@t238)) 18.59/18.81 (step @p601 :rule reordering :premises (@p600) :args ((or @t240 @t234 @t239))) 18.59/18.81 (step @p602 :rule chain_resolution :premises (@p601 @p599 @p586 @p584 @p582 @p575 @p573) :args ((@list false true false true false false) (@list @t238 @t234 @t224 @t209 @t228 @t229))) 18.59/18.81 (step @p603 :rule factoring :premises (@p602)) 18.59/18.81 (step @p604 :rule chain_resolution :premises (@p603 @p561 @p525) :args (@t173 (@list @t210 @t221))) 18.59/18.81 (step @p605 :rule factoring :premises (@p604)) 18.59/18.81 (step @p606 :rule reordering :premises (@p605) :args ((or @t177 @t217))) 18.59/18.81 (step @p607 :rule bool-double-not-elim :args (@t241)) 18.59/18.81 (step @p608 :rule refl :args (@t242)) 18.59/18.81 (step @p609 :rule refl :args (@t243)) 18.59/18.81 (step @p610 :rule nary_cong :premises (@p141 @p140 @p139 @p609 @p608 @p607) :args ((or @t124 @t118 @t117 @t243 @t242 (not @t244)))) 18.59/18.81 (assume-push @p1263 @t104) 18.59/18.81 (assume-push @p1264 @t123) 18.59/18.81 (assume-push @p1265 @t206) 18.59/18.81 (assume-push @p1266 @t244) 18.59/18.81 (assume-push @p1267 @t55) 18.59/18.81 (assume-push @p1268 @t179) 18.59/18.81 (assume-push @p1269 @t188) 18.59/18.81 (step @p150 :rule evaluate :args (@t128)) 18.59/18.81 (step @p151 :rule evaluate :args (@t129)) 18.59/18.81 (step @p618 :rule evaluate :args ((+ -1 1 1 1 -1 -1))) 18.59/18.81 (step @p40 :rule refl :args (-1)) 18.59/18.81 (step @p153 :rule refl :args (1)) 18.59/18.81 (step @p154 :rule evaluate :args (@t131)) 18.59/18.81 (step @p619 :rule nary_cong :premises (@p16 @p154 @p153 @p153 @p40 @p40) :args (@t245)) 18.59/18.81 (step @p620 :rule trans :premises (@p619 @p618)) 18.59/18.81 (step @p157 :rule arith_poly_norm :args (@t134)) 18.59/18.81 (step @p158 :rule arith_poly_norm :args (@t136)) 18.59/18.81 (step @p159 :rule refl :args (@t83)) 18.59/18.81 (step @p160 :rule refl :args (@t119)) 18.59/18.81 (step @p161 :rule refl :args (@t82)) 18.59/18.81 (step @p162 :rule refl :args (@t102)) 18.59/18.81 (step @p163 :rule refl :args (@t133)) 18.59/18.81 (step @p164 :rule refl :args (@t125)) 18.59/18.81 (step @p46 :rule arith_poly_norm :args (@t70)) 18.59/18.81 (step @p165 :rule refl :args (@t54)) 18.59/18.81 (step @p166 :rule refl :args (@t85)) 18.59/18.81 (step @p167 :rule nary_cong :premises (@p166 @p165 @p46 @p164 @p163 @p162 @p161 @p160 @p159 @p158) :args (@t137)) 18.59/18.81 (step @p168 :rule trans :premises (@p167 @p157)) 18.59/18.81 (step @p621 :rule arith_poly_norm :args ((= @t246 @t137))) 18.59/18.81 (step @p622 :rule trans :premises (@p621 @p168)) 18.59/18.81 (step @p623 :rule cong :premises (@p622 @p620) :args (@t247)) 18.59/18.81 (step @p624 :rule trans :premises (@p623 @p151)) 18.59/18.81 (step @p625 :rule cong :premises (@p624) :args ((not @t247))) 18.59/18.81 (step @p626 :rule trans :premises (@p625 @p150)) 18.59/18.81 (step @p627 :rule arith-elim-lt :args (@t246 @t245)) 18.59/18.81 (step @p628 :rule trans :premises (@p627 @p626)) 18.59/18.81 (step @p200 :rule arith_poly_norm :args (@t151)) 18.59/18.81 (step @p201 :rule arith_poly_norm_rel :premises (@p200) :args (@t152)) 18.59/18.81 (step @p202 :rule symm :premises (@p201)) 18.59/18.81 (step @p629 :rule eq_resolve :premises (@p1263 @p202)) 18.59/18.81 (step @p181 :rule arith-elim-lt :args (@t120 0)) 18.59/18.81 (step @p182 :rule symm :premises (@p181)) 18.59/18.81 (step @p630 :rule eq_resolve :premises (@p1264 @p182)) 18.59/18.81 (step @p631 :rule int_tight_ub :premises (@p630)) 18.59/18.81 (step @p632 :rule arith_poly_norm :args (@t248)) 18.59/18.81 (step @p633 :rule arith_poly_norm_rel :premises (@p632) :args (@t250)) 18.59/18.81 (step @p634 :rule symm :premises (@p633)) 18.59/18.81 (step @p635 :rule eq_resolve :premises (@p1265 @p634)) 18.59/18.81 (step @p636 :rule arith-elim-lt :args (@t138 1)) 18.59/18.81 (step @p637 :rule symm :premises (@p636)) 18.59/18.81 (step @p638 :rule eq_resolve :premises (@p1266 @p637)) 18.59/18.81 (step @p193 :rule arith_mult_neg :args (-1 @t75)) 18.59/18.81 (step @p53 :rule arith_poly_norm :args (@t74)) 18.59/18.81 (step @p54 :rule arith_poly_norm_rel :premises (@p53) :args (@t76)) 18.59/18.81 (step @p55 :rule symm :premises (@p54)) 18.59/18.81 (step @p56 :rule eq_resolve :premises (@p32 @p55)) 18.59/18.81 (step @p58 :rule evaluate :args (@t77)) 18.59/18.81 (step @p59 :rule true_elim :premises (@p58)) 18.59/18.81 (step @p194 :rule and_intro :premises (@p59 @p56)) 18.59/18.81 (step @p195 :rule modus_ponens :premises (@p194 @p193)) 18.59/18.81 (step @p351 :rule arith_mult_neg :args (-1 @t188)) 18.59/18.81 (step @p639 :rule and_intro :premises (@p59 @p1269)) 18.59/18.81 (step @p640 :rule modus_ponens :premises (@p639 @p351)) 18.59/18.81 (step @p641 :rule arith_sum_ub :premises (@p640 @p195 @p638 @p635 @p631 @p629)) 18.59/18.81 (step @p642 false :rule eq_resolve :premises (@p641 @p628)) 18.59/18.81 (step-pop @p1269 :rule scope :premises (@p642)) 18.59/18.81 (step @p643 :rule process_scope :premises (@p1269) :args (false)) 18.59/18.81 (step @p352 :rule arith_poly_norm :args (@t189)) 18.59/18.81 (step @p353 :rule arith_poly_norm_rel :premises (@p352) :args (@t190)) 18.59/18.81 (step @p354 :rule symm :premises (@p353)) 18.59/18.81 (step @p645 :rule eq_resolve :premises (@p1268 @p354)) 18.59/18.81 (step @p646 false :rule contra :premises (@p645 @p643)) 18.59/18.81 (step-pop @p1270 :rule scope :premises (@p646)) 18.59/18.81 (step-pop @p1271 :rule scope :premises (@p1270)) 18.59/18.81 (step-pop @p1272 :rule scope :premises (@p1271)) 18.59/18.81 (step-pop @p1273 :rule scope :premises (@p1272)) 18.59/18.81 (step-pop @p1274 :rule scope :premises (@p1273)) 18.59/18.81 (step-pop @p1275 :rule scope :premises (@p1274)) 18.59/18.81 (step @p647 :rule process_scope :premises (@p1275) :args (false)) 18.59/18.81 (assume-push @p1277 @t123) 18.59/18.81 (assume-push @p1278 @t104) 18.59/18.81 (assume-push @p1279 @t55) 18.59/18.81 (assume-push @p1280 @t179) 18.59/18.81 (assume-push @p1281 @t206) 18.59/18.81 (assume-push @p1282 @t244) 18.59/18.81 (step @p660 :rule and_intro :premises (@p1278 @p1277 @p1281 @p1282 @p32 @p1280)) 18.59/18.81 (step-pop @p1282 :rule scope :premises (@p660)) 18.59/18.81 (step-pop @p1283 :rule scope :premises (@p1282)) 18.59/18.81 (step-pop @p1284 :rule scope :premises (@p1283)) 18.59/18.81 (step-pop @p1285 :rule scope :premises (@p1284)) 18.59/18.81 (step-pop @p1286 :rule scope :premises (@p1285)) 18.59/18.81 (step-pop @p1287 :rule scope :premises (@p1286)) 18.59/18.81 (step @p661 :rule process_scope :premises (@p1287) :args (@t251)) 18.59/18.81 (step @p668 :rule implies_elim :premises (@p661)) 18.59/18.81 (step @p669 :rule resolution :premises (@p668 @p647) :args (true @t251)) 18.59/18.81 (step @p670 :rule not_and :premises (@p669)) 18.59/18.81 (step @p671 :rule eq_resolve :premises (@p670 @p610)) 18.59/18.81 (assume-push @p1289 @t241) 18.59/18.81 (assume-push @p1290 @t109) 18.59/18.81 (step @p636 :rule arith-elim-lt :args (@t138 1)) 18.59/18.81 (step @p674 :rule cong :premises (@p636) :args ((not (< @t138 1)))) 18.59/18.81 (step @p675 :rule trans :premises (@p674 @p607)) 18.59/18.81 (step @p676 :rule symm :premises (@p675)) 18.59/18.81 (step @p677 :rule eq_resolve :premises (@p1289 @p676)) 18.59/18.81 (step @p637 :rule symm :premises (@p636)) 18.59/18.81 (assume-push @p1291 @t241) 18.59/18.81 (step @p38 :rule evaluate :args (@t62)) 18.59/18.81 (step @p87 :rule evaluate :args (@t88)) 18.59/18.81 (step @p88 :rule refl :args (0)) 18.59/18.81 (step @p89 :rule nary_cong :premises (@p16 @p88) :args (@t89)) 18.59/18.81 (step @p90 :rule trans :premises (@p89 @p87)) 18.59/18.81 (step @p44 :rule evaluate :args (@t66)) 18.59/18.81 (step @p679 :rule arith_poly_norm :args ((= @t252 0))) 18.59/18.81 (step @p46 :rule arith_poly_norm :args (@t70)) 18.59/18.81 (step @p680 :rule nary_cong :premises (@p46 @p679) :args (@t253)) 18.59/18.81 (step @p681 :rule trans :premises (@p680 @p44)) 18.59/18.81 (step @p682 :rule arith_poly_norm :args ((= @t255 @t253))) 18.59/18.81 (step @p683 :rule trans :premises (@p682 @p681)) 18.59/18.81 (step @p684 :rule cong :premises (@p683 @p90) :args ((<= @t255 @t89))) 18.59/18.81 (step @p685 :rule trans :premises (@p684 @p38)) 18.59/18.81 (step @p177 :rule arith_poly_norm :args (@t145)) 18.59/18.81 (step @p178 :rule arith_poly_norm_rel :premises (@p177) :args (@t147)) 18.59/18.81 (step @p179 :rule symm :premises (@p178)) 18.59/18.81 (step @p686 :rule eq_resolve :premises (@p1290 @p179)) 18.59/18.81 (step @p687 :rule arith_mult_neg :args (-1 @t241)) 18.59/18.81 (step @p58 :rule evaluate :args (@t77)) 18.59/18.81 (step @p59 :rule true_elim :premises (@p58)) 18.59/18.81 (step @p688 :rule and_intro :premises (@p59 @p1289)) 18.59/18.81 (step @p689 :rule modus_ponens :premises (@p688 @p687)) 18.59/18.81 (step @p690 :rule arith_sum_ub :premises (@p689 @p686)) 18.59/18.81 (step @p691 false :rule eq_resolve :premises (@p690 @p685)) 18.59/18.81 (step-pop @p1291 :rule scope :premises (@p691)) 18.59/18.81 (step @p692 :rule process_scope :premises (@p1291) :args (false)) 18.59/18.81 (step @p694 :rule eq_resolve :premises (@p692 @p637)) 18.59/18.81 (step @p695 false :rule contra :premises (@p694 @p677)) 18.59/18.81 (step-pop @p1292 :rule scope :premises (@p695)) 18.59/18.81 (step-pop @p1293 :rule scope :premises (@p1292)) 18.59/18.81 (step @p696 :rule process_scope :premises (@p1293) :args (false)) 18.59/18.81 (assume-push @p1295 @t109) 18.59/18.81 (assume-push @p1296 @t241) 18.59/18.81 (step @p701 :rule and_intro :premises (@p1296 @p1295)) 18.59/18.81 (step-pop @p1296 :rule scope :premises (@p701)) 18.59/18.81 (step-pop @p1297 :rule scope :premises (@p1296)) 18.59/18.81 (step @p702 :rule process_scope :premises (@p1297) :args (@t256)) 18.59/18.81 (step @p705 :rule implies_elim :premises (@p702)) 18.59/18.81 (step @p706 :rule resolution :premises (@p705 @p696) :args (true @t256)) 18.59/18.81 (step @p707 :rule not_and :premises (@p706)) 18.59/18.81 (step @p708 :rule chain_resolution :premises (@p707 @p671 @p32 @p135 @p133 @p120 @p118 @p330 @p323 @p606 @p524 @p522 @p3 @p507 @p500) :args ((@list false false false false false false false false true true false false false false) (@list @t241 @t55 @t109 @t112 @t104 @t106 @t179 @t180 @t175 @t217 @t218 @t9 @t206 @t207))) 18.59/18.81 (step @p709 :rule factoring :premises (@p708)) 18.59/18.81 (step @p710 :rule chain_resolution :premises (@p709 @p495 @p493 @p9 @p488 @p81) :args ((@list true false false true false) (@list @t202 @t203 @t28 @t84 @t163))) 18.59/18.81 (step @p711 :rule factoring :premises (@p710)) 18.59/18.81 (step @p490 :rule instantiate :premises (@p9) :args (@t201)) 18.59/18.81 (step @p497 :rule instantiate :premises (@p81) :args (@t201)) 18.59/18.81 (step @p712 :rule chain_resolution :premises (@p522 @p3) :args (@t79 @t227)) 18.59/18.81 (assume-push @p1299 @t206) 18.59/18.81 (assume-push @p1300 @t206) 18.59/18.81 (step @p715 :rule arith-elim-lt :args (@t86 2)) 18.59/18.81 (step @p716 :rule symm :premises (@p715)) 18.59/18.81 (assume-push @p1301 @t257) 18.59/18.81 (step @p38 :rule evaluate :args (@t62)) 18.59/18.81 (step @p718 :rule evaluate :args (@t258)) 18.59/18.81 (step @p153 :rule refl :args (1)) 18.59/18.81 (step @p719 :rule evaluate :args (@t259)) 18.59/18.81 (step @p720 :rule nary_cong :premises (@p719 @p153) :args (@t260)) 18.59/18.81 (step @p721 :rule trans :premises (@p720 @p718)) 18.59/18.81 (step @p44 :rule evaluate :args (@t66)) 18.59/18.81 (step @p91 :rule arith_poly_norm :args (@t91)) 18.59/18.81 (step @p92 :rule arith_poly_norm :args (@t93)) 18.59/18.81 (step @p93 :rule nary_cong :premises (@p92 @p91) :args (@t94)) 18.59/18.81 (step @p94 :rule trans :premises (@p93 @p44)) 18.59/18.81 (step @p95 :rule arith_poly_norm :args (@t97)) 18.59/18.81 (step @p96 :rule trans :premises (@p95 @p94)) 18.59/18.81 (step @p722 :rule cong :premises (@p96 @p721) :args ((<= @t96 @t260))) 18.59/18.81 (step @p723 :rule trans :premises (@p722 @p38)) 18.59/18.81 (step @p632 :rule arith_poly_norm :args (@t248)) 18.59/18.81 (step @p633 :rule arith_poly_norm_rel :premises (@p632) :args (@t250)) 18.59/18.81 (step @p634 :rule symm :premises (@p633)) 18.59/18.81 (step @p724 :rule eq_resolve :premises (@p1299 @p634)) 18.59/18.81 (step @p725 :rule arith_mult_neg :args (-1 @t257)) 18.59/18.81 (step @p58 :rule evaluate :args (@t77)) 18.59/18.81 (step @p59 :rule true_elim :premises (@p58)) 18.59/18.81 (step @p726 :rule and_intro :premises (@p59 @p1301)) 18.59/18.81 (step @p727 :rule modus_ponens :premises (@p726 @p725)) 18.59/18.81 (step @p728 :rule arith_sum_ub :premises (@p727 @p724)) 18.59/18.81 (step @p729 false :rule eq_resolve :premises (@p728 @p723)) 18.59/18.81 (step-pop @p1301 :rule scope :premises (@p729)) 18.59/18.81 (step @p730 :rule process_scope :premises (@p1301) :args (false)) 18.59/18.81 (step @p732 :rule eq_resolve :premises (@p730 @p716)) 18.59/18.81 (step @p733 :rule eq_resolve :premises (@p732 @p715)) 18.59/18.81 (step-pop @p1302 :rule scope :premises (@p733)) 18.59/18.81 (step @p734 :rule process_scope :premises (@p1302) :args (@t261)) 18.59/18.81 (step @p736 :rule modus_ponens :premises (@p1299 @p734)) 18.59/18.81 (step-pop @p1303 :rule scope :premises (@p736)) 18.59/18.81 (step @p737 :rule process_scope :premises (@p1303) :args (@t261)) 18.59/18.81 (step @p739 :rule implies_elim :premises (@p737)) 18.59/18.81 (step @p740 :rule bool-double-not-elim :args (@t257)) 18.59/18.81 (step @p741 :rule nary_cong :premises (@p141 @p139 @p263 @p261 @p609 @p740) :args ((or @t124 @t117 @t168 @t166 @t243 (not @t261)))) 18.59/18.81 (assume-push @p1305 @t179) 18.59/18.81 (assume-push @p1306 @t123) 18.59/18.81 (assume-push @p1307 @t261) 18.59/18.81 (assume-push @p1308 @t262) 18.59/18.81 (assume-push @p1309 @t264) 18.59/18.81 (step @p150 :rule evaluate :args (@t128)) 18.59/18.81 (step @p151 :rule evaluate :args (@t129)) 18.59/18.81 (step @p747 :rule evaluate :args ((+ 0 2 -1 -1))) 18.59/18.81 (step @p40 :rule refl :args (-1)) 18.59/18.81 (step @p748 :rule refl :args (2)) 18.59/18.81 (step @p88 :rule refl :args (0)) 18.59/18.81 (step @p749 :rule nary_cong :premises (@p88 @p748 @p40 @p16) :args (@t265)) 18.59/18.81 (step @p750 :rule trans :premises (@p749 @p747)) 18.59/18.81 (step @p751 :rule arith_poly_norm :args ((= (+ @t85 0 @t82 @t119 @t83 0) 0))) 18.59/18.81 (step @p158 :rule arith_poly_norm :args (@t136)) 18.59/18.81 (step @p159 :rule refl :args (@t83)) 18.59/18.81 (step @p160 :rule refl :args (@t119)) 18.59/18.81 (step @p161 :rule refl :args (@t82)) 18.59/18.81 (step @p45 :rule arith_poly_norm :args (@t68)) 18.59/18.81 (step @p166 :rule refl :args (@t85)) 18.59/18.81 (step @p752 :rule nary_cong :premises (@p166 @p45 @p161 @p160 @p159 @p158) :args (@t266)) 18.59/18.81 (step @p753 :rule trans :premises (@p752 @p751)) 18.59/18.81 (step @p754 :rule arith_poly_norm :args ((= @t267 @t266))) 18.59/18.81 (step @p755 :rule trans :premises (@p754 @p753)) 18.59/18.81 (step @p756 :rule cong :premises (@p755 @p750) :args (@t268)) 18.59/18.81 (step @p757 :rule trans :premises (@p756 @p151)) 18.59/18.81 (step @p758 :rule cong :premises (@p757) :args ((not @t268))) 18.59/18.81 (step @p759 :rule trans :premises (@p758 @p150)) 18.59/18.81 (step @p760 :rule arith-elim-lt :args (@t267 @t265)) 18.59/18.81 (step @p761 :rule trans :premises (@p760 @p759)) 18.59/18.81 (step @p351 :rule arith_mult_neg :args (-1 @t188)) 18.59/18.81 (step @p352 :rule arith_poly_norm :args (@t189)) 18.59/18.81 (step @p353 :rule arith_poly_norm_rel :premises (@p352) :args (@t190)) 18.59/18.81 (step @p354 :rule symm :premises (@p353)) 18.59/18.81 (step @p762 :rule eq_resolve :premises (@p1305 @p354)) 18.59/18.81 (step @p58 :rule evaluate :args (@t77)) 18.59/18.81 (step @p59 :rule true_elim :premises (@p58)) 18.59/18.81 (step @p763 :rule and_intro :premises (@p59 @p762)) 18.59/18.81 (step @p764 :rule modus_ponens :premises (@p763 @p351)) 18.59/18.81 (step @p181 :rule arith-elim-lt :args (@t120 0)) 18.59/18.81 (step @p182 :rule symm :premises (@p181)) 18.59/18.81 (step @p765 :rule eq_resolve :premises (@p1306 @p182)) 18.59/18.81 (step @p766 :rule int_tight_ub :premises (@p765)) 18.59/18.81 (step @p715 :rule arith-elim-lt :args (@t86 2)) 18.59/18.81 (step @p716 :rule symm :premises (@p715)) 18.59/18.81 (step @p767 :rule eq_resolve :premises (@p1307 @p716)) 18.59/18.81 (step @p768 :rule arith_sum_ub :premises (@p1309 @p767 @p766 @p764)) 18.59/18.81 (step @p769 false :rule eq_resolve :premises (@p768 @p761)) 18.59/18.81 (step-pop @p1309 :rule scope :premises (@p769)) 18.59/18.81 (step @p770 :rule process_scope :premises (@p1309) :args (false)) 18.59/18.81 (step @p772 :rule arith_poly_norm :args ((= (* 1 (- @t263 0)) (* 1 (- @t82 @t54))))) 18.59/18.81 (step @p773 :rule arith_poly_norm_rel :premises (@p772) :args ((= @t264 @t262))) 18.59/18.81 (step @p774 :rule symm :premises (@p773)) 18.59/18.81 (step @p775 :rule eq_resolve :premises (@p1308 @p774)) 18.59/18.81 (step @p776 false :rule contra :premises (@p775 @p770)) 18.59/18.81 (step-pop @p1310 :rule scope :premises (@p776)) 18.59/18.81 (step-pop @p1311 :rule scope :premises (@p1310)) 18.59/18.81 (step-pop @p1312 :rule scope :premises (@p1311)) 18.59/18.81 (step-pop @p1313 :rule scope :premises (@p1312)) 18.59/18.81 (step @p777 :rule process_scope :premises (@p1313) :args (false)) 18.59/18.81 (assume-push @p1315 @t123) 18.59/18.81 (assume-push @p1316 @t55) 18.59/18.81 (assume-push @p1317 @t154) 18.59/18.81 (assume-push @p1318 @t160) 18.59/18.81 (assume-push @p1319 @t179) 18.59/18.81 (assume-push @p1320 @t261) 18.59/18.81 (assume-push @p1321 @t55) 18.59/18.81 (assume-push @p1322 @t160) 18.59/18.81 (assume-push @p1323 @t154) 18.59/18.81 (step @p416 :rule symm :premises (@p32)) 18.59/18.81 (step @p791 :rule trans :premises (@p1317 @p1318 @p416)) 18.59/18.81 (step-pop @p1323 :rule scope :premises (@p791)) 18.59/18.81 (step-pop @p1324 :rule scope :premises (@p1323)) 18.59/18.81 (step-pop @p1325 :rule scope :premises (@p1324)) 18.59/18.81 (step @p792 :rule process_scope :premises (@p1325) :args (@t262)) 18.59/18.81 (step @p796 :rule and_intro :premises (@p32 @p1318 @p1317)) 18.59/18.81 (step @p797 :rule modus_ponens :premises (@p796 @p792)) 18.59/18.81 (step @p798 :rule and_intro :premises (@p1319 @p1315 @p1320 @p797)) 18.59/18.81 (step-pop @p1326 :rule scope :premises (@p798)) 18.59/18.81 (step-pop @p1327 :rule scope :premises (@p1326)) 18.59/18.81 (step-pop @p1328 :rule scope :premises (@p1327)) 18.59/18.81 (step-pop @p1329 :rule scope :premises (@p1328)) 18.59/18.81 (step-pop @p1330 :rule scope :premises (@p1329)) 18.59/18.81 (step-pop @p1331 :rule scope :premises (@p1330)) 18.59/18.81 (step @p799 :rule process_scope :premises (@p1331) :args (@t269)) 18.59/18.81 (step @p806 :rule implies_elim :premises (@p799)) 18.59/18.81 (step @p807 :rule resolution :premises (@p806 @p777) :args (true @t269)) 18.59/18.81 (step @p808 :rule not_and :premises (@p807)) 18.59/18.81 (step @p809 :rule eq_resolve :premises (@p808 @p741)) 18.59/18.81 (step @p810 :rule chain_resolution :premises (@p809 @p32 @p259 @p253 @p240 @p233 @p330 @p320 @p606 @p739 @p524 @p712 @p507 @p497) :args ((@list false false false false false false false true true true false false false) (@list @t55 @t160 @t164 @t154 @t155 @t179 @t180 @t175 @t257 @t217 @t218 @t206 @t207))) 18.59/18.81 (step @p811 :rule factoring :premises (@p810)) 18.59/18.81 (step @p812 :rule chain_resolution :premises (@p811 @p495 @p490 @p488 @p711) :args ((@list true false true true) (@list @t202 @t203 @t84 @t105))) 18.59/18.81 (step @p813 :rule factoring :premises (@p812)) 18.59/18.81 (step @p814 :rule refl :args (@t123)) 18.59/18.81 (step @p815 :rule bool-double-not-elim :args (@t270)) 18.59/18.81 (step @p816 :rule nary_cong :premises (@p264 @p815 @p814) :args ((or @t171 (not @t271) @t123))) 18.59/18.81 (assume-push @p1333 @t170) 18.59/18.81 (assume-push @p1334 @t271) 18.59/18.81 (assume-push @p1335 @t170) 18.59/18.81 (assume-push @p1336 @t271) 18.59/18.81 (step @p181 :rule arith-elim-lt :args (@t120 0)) 18.59/18.81 (step @p821 :rule arith-elim-lt :args (@t120 1)) 18.59/18.81 (step @p822 :rule symm :premises (@p821)) 18.59/18.81 (step @p823 :rule eq_resolve :premises (@p1334 @p822)) 18.59/18.81 (step @p824 :rule int_tight_ub :premises (@p823)) 18.59/18.81 (step @p825 :rule arith_poly_norm :args ((= (* 1 (- @t120 0)) (* 1 (- @t113 @t83))))) 18.59/18.81 (step @p826 :rule arith_poly_norm_rel :premises (@p825) :args ((= @t272 @t169))) 18.59/18.81 (step @p827 :rule cong :premises (@p826) :args ((not @t272))) 18.59/18.81 (step @p828 :rule symm :premises (@p827)) 18.59/18.81 (step @p829 :rule eq_resolve :premises (@p260 @p828)) 18.59/18.81 (step @p830 :rule arith_trichotomy :premises (@p829 @p824)) 18.59/18.81 (step @p831 :rule eq_resolve :premises (@p830 @p181)) 18.59/18.81 (step-pop @p1336 :rule scope :premises (@p831)) 18.59/18.81 (step-pop @p1337 :rule scope :premises (@p1336)) 18.59/18.81 (step @p832 :rule process_scope :premises (@p1337) :args (@t123)) 18.59/18.81 (step @p835 :rule and_intro :premises (@p260 @p1334)) 18.59/18.81 (step @p836 :rule modus_ponens :premises (@p835 @p832)) 18.59/18.81 (step-pop @p1338 :rule scope :premises (@p836)) 18.59/18.81 (step-pop @p1339 :rule scope :premises (@p1338)) 18.59/18.81 (step @p837 :rule process_scope :premises (@p1339) :args (@t123)) 18.59/18.81 (step @p840 :rule implies_elim :premises (@p837)) 18.59/18.81 (step @p841 :rule cnf_and_neg :args (@t273)) 18.59/18.81 (step @p842 :rule resolution :premises (@p841 @p840) :args (true @t273)) 18.59/18.81 (step @p843 :rule eq_resolve :premises (@p842 @p816)) 18.59/18.81 (step @p844 :rule chain_resolution :premises (@p843 @p260 @p813) :args ((@list true false) (@list @t169 @t121))) 18.59/18.81 (step @p845 :rule bool-double-not-elim :args (@t61)) 18.59/18.81 (step @p846 :rule refl :args (@t271)) 18.59/18.81 (step @p847 :rule nary_cong :premises (@p846 @p263 @p261 @p609 @p608 @p845) :args ((or @t271 @t168 @t166 @t243 @t242 @t274))) 18.59/18.81 (assume-push @p1341 @t154) 18.59/18.81 (assume-push @p1342 @t270) 18.59/18.81 (assume-push @p1343 @t160) 18.59/18.81 (assume-push @p1344 @t78) 18.59/18.81 (assume-push @p1345 @t179) 18.59/18.81 (assume-push @p1346 @t206) 18.59/18.81 (assume-push @p1347 @t249) 18.59/18.81 (step @p150 :rule evaluate :args (@t128)) 18.59/18.81 (step @p151 :rule evaluate :args (@t129)) 18.59/18.81 (step @p152 :rule evaluate :args (@t130)) 18.59/18.81 (step @p41 :rule evaluate :args (@t64)) 18.59/18.81 (step @p154 :rule evaluate :args (@t131)) 18.59/18.81 (step @p88 :rule refl :args (0)) 18.59/18.81 (step @p153 :rule refl :args (1)) 18.59/18.81 (step @p855 :rule nary_cong :premises (@p16 @p153 @p88 @p154 @p16 @p41) :args (@t275)) 18.59/18.81 (step @p856 :rule trans :premises (@p855 @p152)) 18.59/18.81 (step @p857 :rule arith_poly_norm :args (@t276)) 18.59/18.81 (step @p158 :rule arith_poly_norm :args (@t136)) 18.59/18.81 (step @p160 :rule refl :args (@t119)) 18.59/18.81 (step @p159 :rule refl :args (@t83)) 18.59/18.81 (step @p166 :rule refl :args (@t85)) 18.59/18.81 (step @p164 :rule refl :args (@t125)) 18.59/18.81 (step @p165 :rule refl :args (@t54)) 18.59/18.81 (step @p162 :rule refl :args (@t102)) 18.59/18.81 (step @p46 :rule arith_poly_norm :args (@t70)) 18.59/18.81 (step @p163 :rule refl :args (@t133)) 18.59/18.81 (step @p161 :rule refl :args (@t82)) 18.59/18.81 (step @p858 :rule nary_cong :premises (@p161 @p163 @p46 @p162 @p165 @p164 @p166 @p159 @p160 @p158) :args (@t277)) 18.59/18.81 (step @p859 :rule trans :premises (@p858 @p857)) 18.59/18.81 (step @p860 :rule arith_poly_norm :args (@t279)) 18.59/18.81 (step @p861 :rule trans :premises (@p860 @p859)) 18.59/18.81 (step @p862 :rule cong :premises (@p861 @p856) :args (@t280)) 18.59/18.81 (step @p863 :rule trans :premises (@p862 @p151)) 18.59/18.81 (step @p864 :rule cong :premises (@p863) :args ((not @t280))) 18.59/18.81 (step @p865 :rule trans :premises (@p864 @p150)) 18.59/18.81 (step @p866 :rule arith-elim-lt :args (@t278 @t275)) 18.59/18.81 (step @p867 :rule trans :premises (@p866 @p865)) 18.59/18.81 (step @p868 :rule arith_mult_neg :args (-1 @t281)) 18.59/18.81 (step @p869 :rule arith_poly_norm :args ((= (* 1 (- @t126 0)) (* 1 (- @t82 @t102))))) 18.59/18.81 (step @p870 :rule arith_poly_norm_rel :premises (@p869) :args ((= @t281 @t154))) 18.59/18.81 (step @p871 :rule symm :premises (@p870)) 18.59/18.81 (step @p872 :rule eq_resolve :premises (@p1341 @p871)) 18.59/18.81 (step @p58 :rule evaluate :args (@t77)) 18.59/18.81 (step @p59 :rule true_elim :premises (@p58)) 18.59/18.81 (step @p873 :rule and_intro :premises (@p59 @p872)) 18.59/18.81 (step @p874 :rule modus_ponens :premises (@p873 @p868)) 18.59/18.81 (step @p875 :rule arith_mult_neg :args (-1 @t270)) 18.59/18.81 (step @p876 :rule and_intro :premises (@p59 @p1342)) 18.59/18.81 (step @p877 :rule modus_ponens :premises (@p876 @p875)) 18.59/18.81 (step @p878 :rule arith_mult_neg :args (-1 @t282)) 18.59/18.81 (step @p879 :rule arith_poly_norm :args ((= (* 1 (- @t138 -1)) (* 1 @t158)))) 18.59/18.81 (step @p880 :rule arith_poly_norm_rel :premises (@p879) :args ((= @t282 @t160))) 18.59/18.81 (step @p881 :rule symm :premises (@p880)) 18.59/18.81 (step @p882 :rule eq_resolve :premises (@p1343 @p881)) 18.59/18.81 (step @p883 :rule and_intro :premises (@p59 @p882)) 18.59/18.81 (step @p884 :rule modus_ponens :premises (@p883 @p878)) 18.59/18.81 (step @p35 :rule arith-elim-lt :args (@t60 0)) 18.59/18.81 (step @p36 :rule symm :premises (@p35)) 18.59/18.81 (step @p885 :rule eq_resolve :premises (@p1344 @p36)) 18.59/18.81 (step @p352 :rule arith_poly_norm :args (@t189)) 18.59/18.81 (step @p353 :rule arith_poly_norm_rel :premises (@p352) :args (@t190)) 18.59/18.81 (step @p354 :rule symm :premises (@p353)) 18.59/18.81 (step @p886 :rule eq_resolve :premises (@p1345 @p354)) 18.59/18.81 (step @p887 :rule arith_mult_neg :args (-1 @t249)) 18.59/18.81 (step @p888 :rule and_intro :premises (@p59 @p1347)) 18.59/18.81 (step @p889 :rule modus_ponens :premises (@p888 @p887)) 18.59/18.81 (step @p890 :rule arith_sum_ub :premises (@p889 @p886 @p885 @p884 @p877 @p874)) 18.59/18.81 (step @p891 false :rule eq_resolve :premises (@p890 @p867)) 18.59/18.81 (step-pop @p1347 :rule scope :premises (@p891)) 18.59/18.81 (step @p892 :rule process_scope :premises (@p1347) :args (false)) 18.59/18.81 (step @p632 :rule arith_poly_norm :args (@t248)) 18.59/18.81 (step @p633 :rule arith_poly_norm_rel :premises (@p632) :args (@t250)) 18.59/18.81 (step @p634 :rule symm :premises (@p633)) 18.59/18.81 (step @p894 :rule eq_resolve :premises (@p1346 @p634)) 18.59/18.81 (step @p895 false :rule contra :premises (@p894 @p892)) 18.59/18.81 (step-pop @p1348 :rule scope :premises (@p895)) 18.59/18.81 (step-pop @p1349 :rule scope :premises (@p1348)) 18.59/18.81 (step-pop @p1350 :rule scope :premises (@p1349)) 18.59/18.81 (step-pop @p1351 :rule scope :premises (@p1350)) 18.59/18.81 (step-pop @p1352 :rule scope :premises (@p1351)) 18.59/18.81 (step-pop @p1353 :rule scope :premises (@p1352)) 18.59/18.81 (step @p896 :rule process_scope :premises (@p1353) :args (false)) 18.59/18.81 (assume-push @p1355 @t270) 18.59/18.81 (assume-push @p1356 @t154) 18.59/18.81 (assume-push @p1357 @t160) 18.59/18.81 (assume-push @p1358 @t179) 18.59/18.81 (assume-push @p1359 @t206) 18.59/18.81 (assume-push @p1360 @t78) 18.59/18.81 (step @p909 :rule and_intro :premises (@p1356 @p1355 @p1357 @p1360 @p1358 @p1359)) 18.59/18.81 (step-pop @p1360 :rule scope :premises (@p909)) 18.59/18.81 (step-pop @p1361 :rule scope :premises (@p1360)) 18.59/18.81 (step-pop @p1362 :rule scope :premises (@p1361)) 18.59/18.81 (step-pop @p1363 :rule scope :premises (@p1362)) 18.59/18.81 (step-pop @p1364 :rule scope :premises (@p1363)) 18.59/18.81 (step-pop @p1365 :rule scope :premises (@p1364)) 18.59/18.81 (step @p910 :rule process_scope :premises (@p1365) :args (@t283)) 18.59/18.81 (step @p917 :rule implies_elim :premises (@p910)) 18.59/18.81 (step @p918 :rule resolution :premises (@p917 @p896) :args (true @t283)) 18.59/18.81 (step @p919 :rule not_and :premises (@p918)) 18.59/18.81 (step @p920 :rule eq_resolve :premises (@p919 @p847)) 18.59/18.81 (step @p921 :rule chain_resolution :premises (@p920 @p844 @p74 @p330 @p320 @p606 @p524 @p712 @p507 @p497) :args ((@list false true false false true true false false false) (@list @t270 @t61 @t179 @t180 @t175 @t217 @t218 @t206 @t207))) 18.59/18.81 (step @p922 :rule factoring :premises (@p921)) 18.59/18.81 (step @p923 :rule reordering :premises (@p922) :args ((or @t202 @t168 @t166))) 18.59/18.81 (step @p924 :rule cnf_equiv_pos1 :args (@t218)) 18.59/18.81 (step @p925 :rule reordering :premises (@p924) :args ((or @t204 @t217 @t219))) 18.59/18.81 (step @p926 :rule cnf_and_pos :args (@t217 0)) 18.59/18.81 (step @p927 :rule reordering :premises (@p926) :args ((or @t216 @t220))) 18.59/18.81 (step @p928 :rule cnf_and_pos :args (@t217 1)) 18.59/18.81 (step @p929 :rule reordering :premises (@p928) :args ((or @t209 @t220))) 18.59/18.81 (step @p930 :rule cnf_or_neg :args (@t234 0)) 18.59/18.81 (step @p931 :rule reordering :premises (@p930) :args ((or @t231 @t234))) 18.59/18.81 (step @p932 :rule cnf_equiv_pos2 :args (@t229)) 18.59/18.81 (step @p933 :rule reordering :premises (@p932) :args ((or @t175 @t233 @t230))) 18.59/18.81 (step @p934 :rule cnf_equiv_pos2 :args (@t238)) 18.59/18.81 (step @p935 :rule reordering :premises (@p934) :args ((or @t224 @t235 @t239))) 18.59/18.81 (step @p936 :rule refl :args (@t240)) 18.59/18.81 (step @p937 :rule refl :args (@t228)) 18.59/18.81 (step @p938 :rule nary_cong :premises (@p937 @p577 @p936) :args ((or @t228 @t232 @t240))) 18.59/18.81 (step @p939 :rule cnf_and_neg :args (@t228)) 18.59/18.81 (step @p940 :rule eq_resolve :premises (@p939 @p938)) 18.59/18.81 (step @p941 :rule reordering :premises (@p940) :args ((or @t210 @t228 @t240))) 18.59/18.81 (step @p942 :rule chain_resolution :premises (@p941 @p935 @p599 @p933 @p573 @p931 @p318 @p313 @p929 @p927 @p306 @p32 @p260) :args ((@list false false true false false true false false true true false true) (@list @t224 @t238 @t228 @t229 @t234 @t175 @t176 @t209 @t210 @t114 @t55 @t169))) 18.59/18.81 (step @p943 :rule factoring :premises (@p942)) 18.59/18.81 (step @p944 :rule chain_resolution :premises (@p943 @p925 @p712 @p495 @p490) :args (@t284 (@list @t217 @t218 @t84 @t203))) 18.59/18.81 (step @p945 :rule factoring :premises (@p944)) 18.59/18.81 (step @p946 :rule chain_resolution :premises (@p945 @p923) :args (@t79 (@list @t202))) 18.59/18.81 (step @p947 :rule factoring :premises (@p946)) 18.59/18.81 (step @p948 :rule chain_resolution :premises (@p947 @p259 @p253 @p240 @p233) :args (@t284 (@list @t160 @t164 @t154 @t155))) 18.59/18.81 (step @p949 :rule factoring :premises (@p948)) 18.59/18.81 (step @p950 :rule chain_resolution :premises (@p120 @p949 @p118) :args (@t58 (@list @t105 @t106))) 18.59/18.81 (step @p951 :rule chain_resolution :premises (@p135 @p949 @p133) :args (@t58 (@list @t105 @t112))) 18.59/18.81 (assume-push @p1367 @t179) 18.59/18.81 (assume-push @p1368 @t179) 18.59/18.81 (step @p954 :rule arith-elim-lt :args (@t139 2)) 18.59/18.81 (step @p955 :rule symm :premises (@p954)) 18.59/18.81 (assume-push @p1369 @t285) 18.59/18.81 (step @p38 :rule evaluate :args (@t62)) 18.59/18.81 (step @p718 :rule evaluate :args (@t258)) 18.59/18.81 (step @p153 :rule refl :args (1)) 18.59/18.81 (step @p719 :rule evaluate :args (@t259)) 18.59/18.81 (step @p720 :rule nary_cong :premises (@p719 @p153) :args (@t260)) 18.59/18.81 (step @p721 :rule trans :premises (@p720 @p718)) 18.59/18.81 (step @p44 :rule evaluate :args (@t66)) 18.59/18.81 (step @p158 :rule arith_poly_norm :args (@t136)) 18.59/18.81 (step @p45 :rule arith_poly_norm :args (@t68)) 18.59/18.81 (step @p341 :rule nary_cong :premises (@p45 @p158) :args (@t185)) 18.59/18.81 (step @p342 :rule trans :premises (@p341 @p44)) 18.59/18.81 (step @p957 :rule arith_poly_norm :args ((= @t286 @t185))) 18.59/18.81 (step @p958 :rule trans :premises (@p957 @p342)) 18.59/18.81 (step @p959 :rule cong :premises (@p958 @p721) :args ((<= @t286 @t260))) 18.59/18.81 (step @p960 :rule trans :premises (@p959 @p38)) 18.59/18.81 (step @p352 :rule arith_poly_norm :args (@t189)) 18.59/18.81 (step @p353 :rule arith_poly_norm_rel :premises (@p352) :args (@t190)) 18.59/18.81 (step @p354 :rule symm :premises (@p353)) 18.59/18.81 (step @p961 :rule eq_resolve :premises (@p1367 @p354)) 18.59/18.81 (step @p962 :rule arith_mult_neg :args (-1 @t285)) 18.59/18.81 (step @p58 :rule evaluate :args (@t77)) 18.59/18.81 (step @p59 :rule true_elim :premises (@p58)) 18.59/18.81 (step @p963 :rule and_intro :premises (@p59 @p1369)) 18.59/18.81 (step @p964 :rule modus_ponens :premises (@p963 @p962)) 18.59/18.81 (step @p965 :rule arith_sum_ub :premises (@p964 @p961)) 18.59/18.81 (step @p966 false :rule eq_resolve :premises (@p965 @p960)) 18.59/18.81 (step-pop @p1369 :rule scope :premises (@p966)) 18.59/18.81 (step @p967 :rule process_scope :premises (@p1369) :args (false)) 18.59/18.81 (step @p969 :rule eq_resolve :premises (@p967 @p955)) 18.59/18.81 (step @p970 :rule eq_resolve :premises (@p969 @p954)) 18.59/18.81 (step-pop @p1370 :rule scope :premises (@p970)) 18.59/18.81 (step @p971 :rule process_scope :premises (@p1370) :args (@t287)) 18.59/18.81 (step @p973 :rule modus_ponens :premises (@p1367 @p971)) 18.59/18.81 (step-pop @p1371 :rule scope :premises (@p973)) 18.59/18.81 (step @p974 :rule process_scope :premises (@p1371) :args (@t287)) 18.59/18.81 (step @p976 :rule implies_elim :premises (@p974)) 18.59/18.81 (step @p977 :rule chain_resolution :premises (@p935 @p599 @p931 @p941 @p929 @p927) :args ((@list false false true false true) (@list @t238 @t234 @t224 @t209 @t210))) 18.59/18.81 (step @p978 :rule factoring :premises (@p977)) 18.59/18.81 (step @p979 :rule bool-double-not-elim :args (@t285)) 18.59/18.81 (step @p980 :rule nary_cong :premises (@p846 @p140 @p139 @p138 @p608 @p979) :args ((or @t271 @t118 @t117 @t116 @t242 (not @t287)))) 18.59/18.81 (assume-push @p1373 @t104) 18.59/18.81 (assume-push @p1374 @t270) 18.59/18.81 (assume-push @p1375 @t109) 18.59/18.81 (assume-push @p1376 @t55) 18.59/18.81 (assume-push @p1377 @t287) 18.59/18.81 (assume-push @p1378 @t206) 18.59/18.81 (assume-push @p1379 @t249) 18.59/18.81 (step @p150 :rule evaluate :args (@t128)) 18.59/18.81 (step @p151 :rule evaluate :args (@t129)) 18.59/18.81 (step @p988 :rule evaluate :args ((+ -1 2 -1 0 -1 1))) 18.59/18.81 (step @p154 :rule evaluate :args (@t131)) 18.59/18.81 (step @p41 :rule evaluate :args (@t64)) 18.59/18.81 (step @p40 :rule refl :args (-1)) 18.59/18.81 (step @p748 :rule refl :args (2)) 18.59/18.81 (step @p989 :rule nary_cong :premises (@p16 @p748 @p40 @p41 @p16 @p154) :args (@t288)) 18.59/18.81 (step @p990 :rule trans :premises (@p989 @p988)) 18.59/18.81 (step @p857 :rule arith_poly_norm :args (@t276)) 18.59/18.81 (step @p158 :rule arith_poly_norm :args (@t136)) 18.59/18.81 (step @p160 :rule refl :args (@t119)) 18.59/18.81 (step @p159 :rule refl :args (@t83)) 18.59/18.81 (step @p166 :rule refl :args (@t85)) 18.59/18.81 (step @p164 :rule refl :args (@t125)) 18.59/18.81 (step @p165 :rule refl :args (@t54)) 18.59/18.81 (step @p162 :rule refl :args (@t102)) 18.59/18.81 (step @p46 :rule arith_poly_norm :args (@t70)) 18.59/18.81 (step @p163 :rule refl :args (@t133)) 18.59/18.81 (step @p161 :rule refl :args (@t82)) 18.59/18.81 (step @p858 :rule nary_cong :premises (@p161 @p163 @p46 @p162 @p165 @p164 @p166 @p159 @p160 @p158) :args (@t277)) 18.59/18.81 (step @p859 :rule trans :premises (@p858 @p857)) 18.59/18.81 (step @p860 :rule arith_poly_norm :args (@t279)) 18.59/18.81 (step @p861 :rule trans :premises (@p860 @p859)) 18.59/18.81 (step @p991 :rule cong :premises (@p861 @p990) :args (@t289)) 18.59/18.81 (step @p992 :rule trans :premises (@p991 @p151)) 18.59/18.81 (step @p993 :rule cong :premises (@p992) :args ((not @t289))) 18.59/18.81 (step @p994 :rule trans :premises (@p993 @p150)) 18.59/18.81 (step @p995 :rule arith-elim-lt :args (@t278 @t288)) 18.59/18.81 (step @p996 :rule trans :premises (@p995 @p994)) 18.59/18.81 (step @p997 :rule arith_mult_neg :args (-1 @t127)) 18.59/18.81 (step @p200 :rule arith_poly_norm :args (@t151)) 18.59/18.81 (step @p201 :rule arith_poly_norm_rel :premises (@p200) :args (@t152)) 18.59/18.81 (step @p202 :rule symm :premises (@p201)) 18.59/18.81 (step @p998 :rule eq_resolve :premises (@p1373 @p202)) 18.59/18.81 (step @p58 :rule evaluate :args (@t77)) 18.59/18.81 (step @p59 :rule true_elim :premises (@p58)) 18.59/18.81 (step @p999 :rule and_intro :premises (@p59 @p998)) 18.59/18.81 (step @p1000 :rule modus_ponens :premises (@p999 @p997)) 18.59/18.81 (step @p875 :rule arith_mult_neg :args (-1 @t270)) 18.59/18.81 (step @p1001 :rule and_intro :premises (@p59 @p1374)) 18.59/18.81 (step @p1002 :rule modus_ponens :premises (@p1001 @p875)) 18.59/18.81 (step @p1003 :rule arith_mult_neg :args (-1 @t146)) 18.59/18.81 (step @p177 :rule arith_poly_norm :args (@t145)) 18.59/18.81 (step @p178 :rule arith_poly_norm_rel :premises (@p177) :args (@t147)) 18.59/18.81 (step @p179 :rule symm :premises (@p178)) 18.59/18.81 (step @p1004 :rule eq_resolve :premises (@p1375 @p179)) 18.59/18.81 (step @p1005 :rule and_intro :premises (@p59 @p1004)) 18.59/18.81 (step @p1006 :rule modus_ponens :premises (@p1005 @p1003)) 18.59/18.81 (step @p53 :rule arith_poly_norm :args (@t74)) 18.59/18.81 (step @p54 :rule arith_poly_norm_rel :premises (@p53) :args (@t76)) 18.59/18.81 (step @p55 :rule symm :premises (@p54)) 18.59/18.81 (step @p56 :rule eq_resolve :premises (@p32 @p55)) 18.59/18.81 (step @p954 :rule arith-elim-lt :args (@t139 2)) 18.59/18.81 (step @p955 :rule symm :premises (@p954)) 18.59/18.81 (step @p1007 :rule eq_resolve :premises (@p1377 @p955)) 18.59/18.81 (step @p887 :rule arith_mult_neg :args (-1 @t249)) 18.59/18.81 (step @p1008 :rule and_intro :premises (@p59 @p1379)) 18.59/18.81 (step @p1009 :rule modus_ponens :premises (@p1008 @p887)) 18.59/18.81 (step @p1010 :rule arith_sum_ub :premises (@p1009 @p1007 @p56 @p1006 @p1002 @p1000)) 18.59/18.81 (step @p1011 false :rule eq_resolve :premises (@p1010 @p996)) 18.59/18.81 (step-pop @p1379 :rule scope :premises (@p1011)) 18.59/18.81 (step @p1012 :rule process_scope :premises (@p1379) :args (false)) 18.59/18.81 (step @p632 :rule arith_poly_norm :args (@t248)) 18.59/18.81 (step @p633 :rule arith_poly_norm_rel :premises (@p632) :args (@t250)) 18.59/18.81 (step @p634 :rule symm :premises (@p633)) 18.59/18.81 (step @p1014 :rule eq_resolve :premises (@p1378 @p634)) 18.59/18.81 (step @p1015 false :rule contra :premises (@p1014 @p1012)) 18.59/18.81 (step-pop @p1380 :rule scope :premises (@p1015)) 18.59/18.81 (step-pop @p1381 :rule scope :premises (@p1380)) 18.59/18.81 (step-pop @p1382 :rule scope :premises (@p1381)) 18.59/18.81 (step-pop @p1383 :rule scope :premises (@p1382)) 18.59/18.81 (step-pop @p1384 :rule scope :premises (@p1383)) 18.59/18.81 (step-pop @p1385 :rule scope :premises (@p1384)) 18.59/18.81 (step @p1016 :rule process_scope :premises (@p1385) :args (false)) 18.59/18.81 (assume-push @p1387 @t270) 18.59/18.81 (assume-push @p1388 @t104) 18.59/18.81 (assume-push @p1389 @t55) 18.59/18.81 (assume-push @p1390 @t109) 18.59/18.81 (assume-push @p1391 @t206) 18.59/18.81 (assume-push @p1392 @t287) 18.59/18.81 (step @p1029 :rule and_intro :premises (@p1388 @p1387 @p1390 @p32 @p1392 @p1391)) 18.59/18.81 (step-pop @p1392 :rule scope :premises (@p1029)) 18.59/18.81 (step-pop @p1393 :rule scope :premises (@p1392)) 18.59/18.81 (step-pop @p1394 :rule scope :premises (@p1393)) 18.59/18.81 (step-pop @p1395 :rule scope :premises (@p1394)) 18.59/18.81 (step-pop @p1396 :rule scope :premises (@p1395)) 18.59/18.81 (step-pop @p1397 :rule scope :premises (@p1396)) 18.59/18.81 (step @p1030 :rule process_scope :premises (@p1397) :args (@t290)) 18.59/18.81 (step @p1037 :rule implies_elim :premises (@p1030)) 18.59/18.81 (step @p1038 :rule resolution :premises (@p1037 @p1016) :args (true @t290)) 18.59/18.81 (step @p1039 :rule not_and :premises (@p1038)) 18.59/18.81 (step @p1040 :rule eq_resolve :premises (@p1039 @p980)) 18.59/18.81 (step @p1041 :rule chain_resolution :premises (@p1040 @p951 @p950 @p844 @p32 @p507 @p497 @p925 @p712 @p978 @p976 @p933 @p573 @p330 @p320) :args ((@list false false false false false false true false true true true false false false) (@list @t109 @t104 @t270 @t55 @t206 @t207 @t202 @t218 @t217 @t285 @t228 @t229 @t179 @t180))) 18.59/18.81 (step @p1042 :rule factoring :premises (@p1041)) 18.59/18.81 (step @p1043 :rule chain_resolution :premises (@p318 @p1042 @p313) :args (@t58 (@list @t175 @t176))) 18.59/18.81 (step @p1044 :rule chain_resolution :premises (@p606 @p1042) :args (@t79 (@list @t175))) 18.59/18.81 (step @p1045 :rule chain_resolution :premises (@p524 @p1044 @p712) :args (@t58 (@list @t217 @t218))) 18.59/18.81 (step @p1046 :rule chain_resolution :premises (@p495 @p1045 @p490) :args (@t58 (@list @t202 @t203))) 18.59/18.81 (step @p1047 :rule nary_cong :premises (@p846 @p140 @p138 @p137 @p262 @p845) :args ((or @t271 @t118 @t116 @t115 @t167 @t274))) 18.59/18.81 (assume-push @p1399 @t104) 18.59/18.81 (assume-push @p1400 @t270) 18.59/18.81 (assume-push @p1401 @t109) 18.59/18.81 (assume-push @p1402 @t78) 18.59/18.81 (assume-push @p1403 @t114) 18.59/18.81 (assume-push @p1404 @t84) 18.59/18.81 (assume-push @p1405 @t99) 18.59/18.81 (step @p150 :rule evaluate :args (@t128)) 18.59/18.81 (step @p151 :rule evaluate :args (@t129)) 18.59/18.81 (step @p1055 :rule evaluate :args ((+ 0 0 0 0 -1 1))) 18.59/18.81 (step @p154 :rule evaluate :args (@t131)) 18.59/18.81 (step @p41 :rule evaluate :args (@t64)) 18.59/18.81 (step @p88 :rule refl :args (0)) 18.59/18.81 (step @p1056 :rule nary_cong :premises (@p41 @p88 @p88 @p41 @p16 @p154) :args (@t291)) 18.59/18.81 (step @p1057 :rule trans :premises (@p1056 @p1055)) 18.59/18.81 (step @p857 :rule arith_poly_norm :args (@t276)) 18.59/18.81 (step @p158 :rule arith_poly_norm :args (@t136)) 18.59/18.81 (step @p160 :rule refl :args (@t119)) 18.59/18.81 (step @p159 :rule refl :args (@t83)) 18.59/18.81 (step @p166 :rule refl :args (@t85)) 18.59/18.81 (step @p164 :rule refl :args (@t125)) 18.59/18.81 (step @p165 :rule refl :args (@t54)) 18.59/18.81 (step @p162 :rule refl :args (@t102)) 18.59/18.81 (step @p46 :rule arith_poly_norm :args (@t70)) 18.59/18.81 (step @p163 :rule refl :args (@t133)) 18.59/18.81 (step @p161 :rule refl :args (@t82)) 18.59/18.81 (step @p858 :rule nary_cong :premises (@p161 @p163 @p46 @p162 @p165 @p164 @p166 @p159 @p160 @p158) :args (@t277)) 18.59/18.81 (step @p859 :rule trans :premises (@p858 @p857)) 18.59/18.81 (step @p860 :rule arith_poly_norm :args (@t279)) 18.59/18.81 (step @p861 :rule trans :premises (@p860 @p859)) 18.59/18.81 (step @p1058 :rule cong :premises (@p861 @p1057) :args (@t292)) 18.59/18.81 (step @p1059 :rule trans :premises (@p1058 @p151)) 18.59/18.81 (step @p1060 :rule cong :premises (@p1059) :args ((not @t292))) 18.59/18.81 (step @p1061 :rule trans :premises (@p1060 @p150)) 18.59/18.81 (step @p1062 :rule arith-elim-lt :args (@t278 @t291)) 18.59/18.81 (step @p1063 :rule trans :premises (@p1062 @p1061)) 18.59/18.81 (step @p997 :rule arith_mult_neg :args (-1 @t127)) 18.59/18.81 (step @p200 :rule arith_poly_norm :args (@t151)) 18.59/18.81 (step @p201 :rule arith_poly_norm_rel :premises (@p200) :args (@t152)) 18.59/18.81 (step @p202 :rule symm :premises (@p201)) 18.59/18.81 (step @p1064 :rule eq_resolve :premises (@p1399 @p202)) 18.59/18.81 (step @p58 :rule evaluate :args (@t77)) 18.59/18.81 (step @p59 :rule true_elim :premises (@p58)) 18.59/18.81 (step @p1065 :rule and_intro :premises (@p59 @p1064)) 18.59/18.81 (step @p1066 :rule modus_ponens :premises (@p1065 @p997)) 18.59/18.81 (step @p875 :rule arith_mult_neg :args (-1 @t270)) 18.59/18.81 (step @p1067 :rule and_intro :premises (@p59 @p1400)) 18.59/18.81 (step @p1068 :rule modus_ponens :premises (@p1067 @p875)) 18.59/18.81 (step @p1003 :rule arith_mult_neg :args (-1 @t146)) 18.59/18.81 (step @p177 :rule arith_poly_norm :args (@t145)) 18.59/18.81 (step @p178 :rule arith_poly_norm_rel :premises (@p177) :args (@t147)) 18.59/18.81 (step @p179 :rule symm :premises (@p178)) 18.59/18.81 (step @p1069 :rule eq_resolve :premises (@p1401 @p179)) 18.59/18.81 (step @p1070 :rule and_intro :premises (@p59 @p1069)) 18.59/18.81 (step @p1071 :rule modus_ponens :premises (@p1070 @p1003)) 18.59/18.81 (step @p35 :rule arith-elim-lt :args (@t60 0)) 18.59/18.81 (step @p36 :rule symm :premises (@p35)) 18.59/18.81 (step @p1072 :rule eq_resolve :premises (@p1402 @p36)) 18.59/18.81 (step @p187 :rule arith_poly_norm :args (@t149)) 18.59/18.81 (step @p188 :rule arith_poly_norm_rel :premises (@p187) :args (@t150)) 18.59/18.81 (step @p189 :rule symm :premises (@p188)) 18.59/18.81 (step @p1073 :rule eq_resolve :premises (@p1403 @p189)) 18.59/18.81 (step @p1074 :rule arith_mult_neg :args (-1 @t99)) 18.59/18.81 (step @p1075 :rule and_intro :premises (@p59 @p1405)) 18.59/18.81 (step @p1076 :rule modus_ponens :premises (@p1075 @p1074)) 18.59/18.81 (step @p1077 :rule arith_sum_ub :premises (@p1076 @p1073 @p1072 @p1071 @p1068 @p1066)) 18.59/18.81 (step @p1078 false :rule eq_resolve :premises (@p1077 @p1063)) 18.59/18.81 (step-pop @p1405 :rule scope :premises (@p1078)) 18.59/18.81 (step @p1079 :rule process_scope :premises (@p1405) :args (false)) 18.59/18.81 (step @p99 :rule arith_poly_norm :args (@t98)) 18.59/18.81 (step @p100 :rule arith_poly_norm_rel :premises (@p99) :args (@t100)) 18.59/18.81 (step @p101 :rule symm :premises (@p100)) 18.59/18.81 (step @p1081 :rule eq_resolve :premises (@p1404 @p101)) 18.59/18.81 (step @p1082 false :rule contra :premises (@p1081 @p1079)) 18.59/18.81 (step-pop @p1406 :rule scope :premises (@p1082)) 18.59/18.81 (step-pop @p1407 :rule scope :premises (@p1406)) 18.59/18.81 (step-pop @p1408 :rule scope :premises (@p1407)) 18.59/18.81 (step-pop @p1409 :rule scope :premises (@p1408)) 18.59/18.81 (step-pop @p1410 :rule scope :premises (@p1409)) 18.59/18.81 (step-pop @p1411 :rule scope :premises (@p1410)) 18.59/18.81 (step @p1083 :rule process_scope :premises (@p1411) :args (false)) 18.59/18.81 (assume-push @p1413 @t270) 18.59/18.81 (assume-push @p1414 @t104) 18.59/18.81 (assume-push @p1415 @t109) 18.59/18.81 (assume-push @p1416 @t114) 18.59/18.81 (assume-push @p1417 @t84) 18.59/18.81 (assume-push @p1418 @t78) 18.59/18.81 (step @p1096 :rule and_intro :premises (@p1414 @p1413 @p1415 @p1418 @p1416 @p1417)) 18.59/18.81 (step-pop @p1418 :rule scope :premises (@p1096)) 18.59/18.81 (step-pop @p1419 :rule scope :premises (@p1418)) 18.59/18.81 (step-pop @p1420 :rule scope :premises (@p1419)) 18.59/18.81 (step-pop @p1421 :rule scope :premises (@p1420)) 18.59/18.81 (step-pop @p1422 :rule scope :premises (@p1421)) 18.59/18.81 (step-pop @p1423 :rule scope :premises (@p1422)) 18.59/18.81 (step @p1097 :rule process_scope :premises (@p1423) :args (@t293)) 18.59/18.81 (step @p1104 :rule implies_elim :premises (@p1097)) 18.59/18.81 (step @p1105 :rule resolution :premises (@p1104 @p1083) :args (true @t293)) 18.59/18.81 (step @p1106 :rule not_and :premises (@p1105)) 18.59/18.81 (step @p1107 :rule eq_resolve :premises (@p1106 @p1047)) 18.59/18.81 (step @p1108 false :rule chain_resolution :premises (@p1107 @p1046 @p1043 @p951 @p950 @p844 @p74) :args ((@list false false false false false true) (@list @t84 @t114 @t109 @t104 @t270 @t61))) 18.59/18.81 ) 18.59/18.81 % SZS output end Proof 18.59/18.81 % cvc5 exiting 18.59/18.81 EOF