%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : DAT051_1 : TPTP v9.2.1. Released v5.0.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % Computer : n008.cluster.edu % Model : x86_64 x86_64 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz % Memory : 8042.1875MB % OS : Linux 3.10.0-693.el7.x86_64 % CPULimit : 300s % WCLimit : 300s % DateTime : Wed Jun 3 08:14:25 AM UTC 2026 % Result : Theorem 0.46s 0.66s % Output : Proof 0.46s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : DAT051_1 : TPTP v9.2.1. Released v5.0.0. % 0.12/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.16/0.33 % Computer : n008.cluster.edu % 0.16/0.33 % Model : x86_64 x86_64 % 0.16/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.16/0.33 % Memory : 8042.1875MB % 0.16/0.33 % OS : Linux 3.10.0-693.el7.x86_64 % 0.16/0.33 % CPULimit : 300 % 0.16/0.33 % WCLimit : 300 % 0.16/0.33 % DateTime : Mon Jun 1 22:27:33 EDT 2026 % 0.16/0.34 % CPUTime : % 0.30/0.47 %----Proving TF0_ARI % 0.46/0.66 --- Run --finite-model-find --decision=internal at 45... % 0.46/0.66 % SZS status Theorem % 0.46/0.66 % SZS output start Proof % 0.46/0.66 ( % 0.46/0.66 (declare-sort tptp.record 0) % 0.46/0.66 (declare-const tptp.split2 (-> tptp.record tptp.record)) % 0.46/0.66 (declare-const tptp.data (-> tptp.record Int)) % 0.46/0.66 (declare-const tptp.split1 (-> tptp.record tptp.record)) % 0.46/0.66 (declare-const tptp.next (-> tptp.record tptp.record)) % 0.46/0.66 (declare-const tptp.isrecord (-> tptp.record Bool)) % 0.46/0.66 (declare-const tptp.length (-> tptp.record Int)) % 0.46/0.66 (define @t1 () (@var "U" tptp.record)) % 0.46/0.66 (define @t2 () (tptp.length @t1)) % 0.46/0.66 (define @t3 () (tptp.isrecord @t1)) % 0.46/0.66 (define @t4 () (not @t3)) % 0.46/0.66 (define @t5 () (@list @t1)) % 0.46/0.66 (define @t6 () (tptp.next @t1)) % 0.46/0.66 (define @t7 () (tptp.length @t6)) % 0.46/0.66 (define @t8 () (+ @t7 1)) % 0.46/0.66 (define @t9 () (= @t2 @t8)) % 0.46/0.66 (define @t10 () (=> @t3 @t9)) % 0.46/0.66 (define @t11 () (forall @t5 @t10)) % 0.46/0.66 (define @t12 () (tptp.split1 @t1)) % 0.46/0.66 (define @t13 () (tptp.isrecord @t12)) % 0.46/0.66 (define @t14 () (tptp.next @t12)) % 0.46/0.66 (define @t15 () (tptp.isrecord @t6)) % 0.46/0.66 (define @t16 () (not @t15)) % 0.46/0.66 (define @t17 () (tptp.next @t6)) % 0.46/0.66 (define @t18 () (and @t3 @t15)) % 0.46/0.66 (define @t19 () (tptp.split2 @t1)) % 0.46/0.66 (define @t20 () (tptp.isrecord @t19)) % 0.46/0.66 (define @t21 () (not @t20)) % 0.46/0.66 (define @t22 () (forall @t5 (=> @t18 @t20))) % 0.46/0.66 (define @t23 () (tptp.split2 @t17)) % 0.46/0.66 (define @t24 () (= (tptp.next @t19) @t23)) % 0.46/0.66 (define @t25 () (forall @t5 (=> @t18 @t24))) % 0.46/0.66 (define @t26 () (* 2 (tptp.length @t19))) % 0.46/0.66 (define @t27 () (= @t26 @t2)) % 0.46/0.66 (define @t28 () (- @t2 1)) % 0.46/0.66 (define @t29 () (= @t26 @t28)) % 0.46/0.66 (define @t30 () (or @t29 @t27)) % 0.46/0.66 (define @t31 () (@var "V" tptp.record)) % 0.46/0.66 (define @t32 () (tptp.length @t31)) % 0.46/0.66 (define @t33 () (* 2 (tptp.length (tptp.split2 @t31)))) % 0.46/0.66 (define @t34 () (= @t33 @t32)) % 0.46/0.66 (define @t35 () (- @t32 1)) % 0.46/0.66 (define @t36 () (= @t33 @t35)) % 0.46/0.66 (define @t37 () (or @t36 @t34)) % 0.46/0.66 (define @t38 () (= @t31 @t17)) % 0.46/0.66 (define @t39 () (and @t3 @t15 @t38 @t37)) % 0.46/0.66 (define @t40 () (=> @t39 @t30)) % 0.46/0.66 (define @t41 () (@list @t1 @t31)) % 0.46/0.66 (define @t42 () (forall @t41 @t40)) % 0.46/0.66 (define @t43 () (not @t42)) % 0.46/0.66 (define @t44 () (= @t2 @t26)) % 0.46/0.66 (define @t45 () (+ 1 @t26)) % 0.46/0.66 (define @t46 () (= @t2 @t45)) % 0.46/0.66 (define @t47 () (* 2 (tptp.length @t23))) % 0.46/0.66 (define @t48 () (tptp.length @t17)) % 0.46/0.66 (define @t49 () (and (not (= @t48 (+ 1 @t47))) (not (= @t48 @t47)))) % 0.46/0.66 (define @t50 () (or @t4 @t16 @t49 @t46 @t44)) % 0.46/0.66 (define @t51 () (not (= @t17 @t17))) % 0.46/0.66 (define @t52 () (or @t4 @t16 @t51 @t49 @t46 @t44)) % 0.46/0.66 (define @t53 () (= @t32 @t33)) % 0.46/0.66 (define @t54 () (+ 1 @t33)) % 0.46/0.66 (define @t55 () (= @t32 @t54)) % 0.46/0.66 (define @t56 () (and (not @t55) (not @t53))) % 0.46/0.66 (define @t57 () (= @t17 @t31)) % 0.46/0.66 (define @t58 () (not @t57)) % 0.46/0.66 (define @t59 () (@list @t31)) % 0.46/0.66 (define @t60 () (or @t58 @t4 @t16 @t58 @t56 @t46 @t44)) % 0.46/0.66 (define @t61 () (or @t4 @t16 @t58 @t56 @t46 @t44)) % 0.46/0.66 (define @t62 () (forall @t59 @t61)) % 0.46/0.66 (define @t63 () (forall @t5 @t62)) % 0.46/0.66 (define @t64 () (or @t46 @t44)) % 0.46/0.66 (define @t65 () (or @t55 @t53)) % 0.46/0.66 (define @t66 () (not @t65)) % 0.46/0.66 (define @t67 () (or @t4 @t16 @t58 @t66)) % 0.46/0.66 (define @t68 () (and @t3 @t15 @t57 @t65)) % 0.46/0.66 (define @t69 () (+ -1 @t2)) % 0.46/0.66 (define @t70 () (* -1 1)) % 0.46/0.66 (define @t71 () (+ @t2 @t70)) % 0.46/0.66 (define @t72 () (+ -1 @t32)) % 0.46/0.66 (define @t73 () (+ @t32 @t70)) % 0.46/0.66 (define @t74 () (@quantifiers_skolemize (forall @t5 @t50) 0)) % 0.46/0.66 (define @t75 () (tptp.split2 @t74)) % 0.46/0.66 (define @t76 () (tptp.length @t75)) % 0.46/0.66 (define @t77 () (* 2 @t76)) % 0.46/0.66 (define @t78 () (tptp.length @t74)) % 0.46/0.66 (define @t79 () (= @t78 @t77)) % 0.46/0.66 (define @t80 () (+ 1 @t77)) % 0.46/0.66 (define @t81 () (= @t78 @t80)) % 0.46/0.66 (define @t82 () (tptp.next @t74)) % 0.46/0.66 (define @t83 () (tptp.next @t82)) % 0.46/0.66 (define @t84 () (tptp.split2 @t83)) % 0.46/0.66 (define @t85 () (tptp.length @t84)) % 0.46/0.66 (define @t86 () (* 2 @t85)) % 0.46/0.66 (define @t87 () (tptp.length @t83)) % 0.46/0.66 (define @t88 () (= @t87 @t86)) % 0.46/0.66 (define @t89 () (not @t88)) % 0.46/0.66 (define @t90 () (+ 1 @t86)) % 0.46/0.66 (define @t91 () (= @t87 @t90)) % 0.46/0.66 (define @t92 () (not @t91)) % 0.46/0.66 (define @t93 () (and @t92 @t89)) % 0.46/0.66 (define @t94 () (tptp.isrecord @t82)) % 0.46/0.66 (define @t95 () (not @t94)) % 0.46/0.66 (define @t96 () (tptp.isrecord @t74)) % 0.46/0.66 (define @t97 () (not @t96)) % 0.46/0.66 (define @t98 () (or @t97 @t95 @t93 @t81 @t79)) % 0.46/0.66 (define @t99 () (not @t81)) % 0.46/0.66 (define @t100 () (@list true)) % 0.46/0.66 (define @t101 () (@list @t98)) % 0.46/0.66 (define @t102 () (not @t79)) % 0.46/0.66 (define @t103 () (or @t4 @t16 @t24)) % 0.46/0.66 (define @t104 () (or @t4 @t16)) % 0.46/0.66 (define @t105 () (not @t18)) % 0.46/0.66 (define @t106 () (tptp.next @t75)) % 0.46/0.66 (define @t107 () (or @t97 @t95 (= @t106 @t84))) % 0.46/0.66 (define @t108 () (forall @t5 @t103)) % 0.46/0.66 (define @t109 () (@list @t74)) % 0.46/0.66 (define @t110 () (= @t84 @t106)) % 0.46/0.66 (define @t111 () (or @t97 @t95 @t110)) % 0.46/0.66 (define @t112 () (@list false)) % 0.46/0.66 (define @t113 () (@list false false false)) % 0.46/0.66 (define @t114 () (+ 1 @t7)) % 0.46/0.66 (define @t115 () (= @t2 @t114)) % 0.46/0.66 (define @t116 () (tptp.length @t82)) % 0.46/0.66 (define @t117 () (+ -1 @t116)) % 0.46/0.66 (define @t118 () (- @t87 @t117)) % 0.46/0.66 (define @t119 () (+ 1 @t87)) % 0.46/0.66 (define @t120 () (= @t87 @t117)) % 0.46/0.66 (define @t121 () (= @t116 @t119)) % 0.46/0.66 (define @t122 () (or @t95 @t121)) % 0.46/0.66 (define @t123 () (forall @t5 (or @t4 @t115))) % 0.46/0.66 (define @t124 () (or @t95 @t120)) % 0.46/0.66 (define @t125 () (@list false false)) % 0.46/0.66 (define @t126 () (+ 1 @t116)) % 0.46/0.66 (define @t127 () (= @t78 @t126)) % 0.46/0.66 (define @t128 () (or @t97 @t127)) % 0.46/0.66 (define @t129 () (tptp.isrecord @t75)) % 0.46/0.66 (define @t130 () (or @t97 @t95 @t129)) % 0.46/0.66 (define @t131 () (tptp.length @t106)) % 0.46/0.66 (define @t132 () (+ 1 @t131)) % 0.46/0.66 (define @t133 () (= @t76 @t132)) % 0.46/0.66 (define @t134 () (not @t129)) % 0.46/0.66 (define @t135 () (or @t134 @t133)) % 0.46/0.66 (define @t136 () (+ @t87 (* -2 @t85))) % 0.46/0.66 (define @t137 () (>= @t136 2)) % 0.46/0.66 (define @t138 () (* -1 2)) % 0.46/0.66 (define @t139 () (+ @t138 1)) % 0.46/0.66 (define @t140 () (+ 0 0)) % 0.46/0.66 (define @t141 () (* 0 @t87)) % 0.46/0.66 (define @t142 () (= @t141 0)) % 0.46/0.66 (define @t143 () (* 0 @t85)) % 0.46/0.66 (define @t144 () (= @t143 0)) % 0.46/0.66 (define @t145 () (+ @t143 @t141)) % 0.46/0.66 (define @t146 () (+ (* -1 @t136) @t136)) % 0.46/0.66 (define @t147 () (= @t146 @t145)) % 0.46/0.66 (define @t148 () (= (* -1 (- @t136 1)) (* -1 (- @t87 @t90)))) % 0.46/0.66 (define @t149 () (= @t136 1)) % 0.46/0.66 (define @t150 () (= @t149 @t91)) % 0.46/0.66 (define @t151 () (< -1 0)) % 0.46/0.66 (define @t152 () (not @t137)) % 0.46/0.66 (define @t153 () (not @t133)) % 0.46/0.66 (define @t154 () (not @t127)) % 0.46/0.66 (define @t155 () (not @t120)) % 0.46/0.66 (define @t156 () (not @t110)) % 0.46/0.66 (define @t157 () (* -2 @t76)) % 0.46/0.66 (define @t158 () (+ @t78 @t157)) % 0.46/0.66 (define @t159 () (>= @t158 0)) % 0.46/0.66 (define @t160 () (not @t159)) % 0.46/0.66 (define @t161 () (= @t85 @t131)) % 0.46/0.66 (define @t162 () (* -1 @t131)) % 0.46/0.66 (define @t163 () (+ @t85 @t162)) % 0.46/0.66 (define @t164 () (= @t163 0)) % 0.46/0.66 (define @t165 () (>= 0/1 0/1)) % 0.46/0.66 (define @t166 () (to_real -1)) % 0.46/0.66 (define @t167 () (to_real @t70)) % 0.46/0.66 (define @t168 () (* 1/2 2/1)) % 0.46/0.66 (define @t169 () (* 1/2 1/1)) % 0.46/0.66 (define @t170 () (* -1/2 -1/1)) % 0.46/0.66 (define @t171 () (* -1/2 2/1)) % 0.46/0.66 (define @t172 () (+ 0/1 @t171 @t170 @t169 @t168 @t167)) % 0.46/0.66 (define @t173 () (to_real 0)) % 0.46/0.66 (define @t174 () (* -1 @t76)) % 0.46/0.66 (define @t175 () (* -1 @t85)) % 0.46/0.66 (define @t176 () (* 0 @t78)) % 0.46/0.66 (define @t177 () (= @t176 0)) % 0.46/0.66 (define @t178 () (* 0 @t116)) % 0.46/0.66 (define @t179 () (= @t178 0)) % 0.46/0.66 (define @t180 () (* 0 @t131)) % 0.46/0.66 (define @t181 () (= @t180 0)) % 0.46/0.66 (define @t182 () (+ @t180 @t178 @t76 @t175 @t174 @t176 @t85 @t141)) % 0.46/0.66 (define @t183 () (to_real @t182)) % 0.46/0.66 (define @t184 () (+ @t76 @t162)) % 0.46/0.66 (define @t185 () (to_real (* -1 @t184))) % 0.46/0.66 (define @t186 () (to_real @t136)) % 0.46/0.66 (define @t187 () (* 1/2 @t186)) % 0.46/0.66 (define @t188 () (* -1 @t116)) % 0.46/0.66 (define @t189 () (+ @t78 @t188)) % 0.46/0.66 (define @t190 () (to_real @t189)) % 0.46/0.66 (define @t191 () (* 1/2 @t190)) % 0.46/0.66 (define @t192 () (+ @t87 @t188)) % 0.46/0.66 (define @t193 () (to_real @t192)) % 0.46/0.66 (define @t194 () (* -1/2 @t193)) % 0.46/0.66 (define @t195 () (to_real @t158)) % 0.46/0.66 (define @t196 () (* -1/2 @t195)) % 0.46/0.66 (define @t197 () (to_real @t163)) % 0.46/0.66 (define @t198 () (+ @t197 @t196 @t194 @t191 @t187 @t185)) % 0.46/0.66 (define @t199 () (>= @t198 @t172)) % 0.46/0.66 (define @t200 () (= @t184 1)) % 0.46/0.66 (define @t201 () (= (* -1 (- @t184 1)) (* -1 (- @t76 @t132)))) % 0.46/0.66 (define @t202 () (= @t200 @t133)) % 0.46/0.66 (define @t203 () (> 1/2 0/1)) % 0.46/0.66 (define @t204 () (< @t136 2)) % 0.46/0.66 (define @t205 () (to_real 2)) % 0.46/0.66 (define @t206 () (< @t186 @t205)) % 0.46/0.66 (define @t207 () (= @t189 1)) % 0.46/0.66 (define @t208 () (= @t190 1/1)) % 0.46/0.66 (define @t209 () (to_real 1)) % 0.46/0.66 (define @t210 () (= (* -1 (- @t189 1)) (* -1 (- @t78 @t126)))) % 0.46/0.66 (define @t211 () (= @t207 @t127)) % 0.46/0.66 (define @t212 () (< -1/2 0/1)) % 0.46/0.66 (define @t213 () (= @t192 -1)) % 0.46/0.66 (define @t214 () (= @t193 -1/1)) % 0.46/0.66 (define @t215 () (= (* 1 (- @t192 -1)) (* 1 @t118))) % 0.46/0.66 (define @t216 () (= @t213 @t120)) % 0.46/0.66 (define @t217 () (>= @t158 2)) % 0.46/0.66 (define @t218 () (>= @t195 @t205)) % 0.46/0.66 (define @t219 () (* 1 (- @t78 @t77))) % 0.46/0.66 (define @t220 () (- @t158 0)) % 0.46/0.66 (define @t221 () (* 1 @t220)) % 0.46/0.66 (define @t222 () (= @t158 0)) % 0.46/0.66 (define @t223 () (- @t158 1)) % 0.46/0.66 (define @t224 () (* -1 @t223)) % 0.46/0.66 (define @t225 () (= @t158 1)) % 0.46/0.66 (define @t226 () (= (* 1 (- @t163 0)) (* 1 (- @t85 @t131)))) % 0.46/0.66 (define @t227 () (= @t164 @t161)) % 0.46/0.66 (define @t228 () (and @t133 @t152 @t127 @t120 @t99 @t102 @t159 @t161)) % 0.46/0.66 (define @t229 () (>= @t78 @t77)) % 0.46/0.66 (define @t230 () (+ @t77 1)) % 0.46/0.66 (define @t231 () (>= @t158 1)) % 0.46/0.66 (define @t232 () (>= @t78 @t230)) % 0.46/0.66 (define @t233 () (<= @t78 @t77)) % 0.46/0.66 (define @t234 () (not @t229)) % 0.46/0.66 (define @t235 () (not @t233)) % 0.46/0.66 (define @t236 () (* -1 @t77)) % 0.46/0.66 (define @t237 () (+ @t236 @t77)) % 0.46/0.66 (define @t238 () (+ (* -1 @t78) @t78)) % 0.46/0.66 (define @t239 () (>= @t238 @t237)) % 0.46/0.66 (define @t240 () (not @t231)) % 0.46/0.66 (define @t241 () (* -1/2 1/1)) % 0.46/0.66 (define @t242 () (* 1/2 -1/1)) % 0.46/0.66 (define @t243 () (* -1 0)) % 0.46/0.66 (define @t244 () (to_real @t243)) % 0.46/0.66 (define @t245 () (+ @t244 @t242 @t169 1/1 @t241 @t241)) % 0.46/0.66 (define @t246 () (= (+ 0 0 @t174 @t85 @t76 0 @t175 0) 0)) % 0.46/0.66 (define @t247 () (+ @t180 @t178 @t174 @t85 @t76 @t176 @t175 @t141)) % 0.46/0.66 (define @t248 () (to_real @t247)) % 0.46/0.66 (define @t249 () (* -1/2 @t190)) % 0.46/0.66 (define @t250 () (* -1/2 @t186)) % 0.46/0.66 (define @t251 () (to_real @t184)) % 0.46/0.66 (define @t252 () (* 1/2 @t195)) % 0.46/0.66 (define @t253 () (* 1/2 @t193)) % 0.46/0.66 (define @t254 () (to_real (* -1 @t163))) % 0.46/0.66 (define @t255 () (+ @t254 @t253 @t252 @t251 @t250 @t249)) % 0.46/0.66 (define @t256 () (>= @t255 @t245)) % 0.46/0.66 (define @t257 () (= @t249 @t241)) % 0.46/0.66 (define @t258 () (< @t158 1)) % 0.46/0.66 (define @t259 () (< @t195 @t209)) % 0.46/0.66 (define @t260 () (= @t253 @t242)) % 0.46/0.66 (define @t261 () (and @t127 @t91 @t133 @t240 @t120 @t161)) % 0.46/0.66 (define @t262 () (+ @t138 0)) % 0.46/0.66 (define @t263 () (= (* 1 (- @t136 0)) (* 1 (- @t87 @t86)))) % 0.46/0.66 (define @t264 () (= @t136 0)) % 0.46/0.66 (define @t265 () (= @t264 @t88)) % 0.46/0.66 (define @t266 () (* -1/2 0/1)) % 0.46/0.66 (define @t267 () (* 1/2 0/1)) % 0.46/0.66 (define @t268 () (+ @t244 @t267 @t242 @t241 @t266 1/1)) % 0.46/0.66 (define @t269 () (+ @t254 @t252 @t253 @t249 @t250 @t251)) % 0.46/0.66 (define @t270 () (>= @t269 @t268)) % 0.46/0.66 (define @t271 () (< @t158 0)) % 0.46/0.66 (define @t272 () (< @t195 @t173)) % 0.46/0.66 (define @t273 () (and @t133 @t88 @t127 @t120 @t160 @t161)) % 0.46/0.66 (assume @p1 (forall @t5 (=> @t4 (= @t2 0)))) % 0.46/0.66 (assume @p2 (forall @t5 (=> @t3 (>= @t2 1)))) % 0.46/0.66 (assume @p3 @t11) % 0.46/0.66 (assume @p4 (forall @t5 (=> @t4 (not @t13)))) % 0.46/0.66 (assume @p5 (forall @t5 (=> @t3 @t13))) % 0.46/0.66 (assume @p6 (forall @t5 (=> @t3 (= (tptp.data @t12) (tptp.data @t1))))) % 0.46/0.66 (assume @p7 (forall @t5 (=> (and @t3 @t16) (not (tptp.isrecord @t14))))) % 0.46/0.66 (assume @p8 (forall @t5 (=> @t18 (= @t14 (tptp.split1 @t17))))) % 0.46/0.66 (assume @p9 (forall @t5 (=> @t4 @t21))) % 0.46/0.66 (assume @p10 (forall @t5 (=> @t16 @t21))) % 0.46/0.66 (assume @p11 @t22) % 0.46/0.66 (assume @p12 (forall @t5 (=> @t18 (= (tptp.data @t19) (tptp.data @t6))))) % 0.46/0.66 (assume @p13 @t25) % 0.46/0.66 (assume @p14 @t43) % 0.46/0.66 (assume @p15 true) % 0.46/0.66 (step @p16 :rule aci_norm :args ((= (or @t4 @t16 false @t49 @t46 @t44) @t50))) % 0.46/0.66 (step @p17 :rule refl :args (@t44)) % 0.46/0.66 (step @p18 :rule refl :args (@t46)) % 0.46/0.66 (step @p19 :rule refl :args (@t49)) % 0.46/0.66 (step @p20 :rule evaluate :args ((not true))) % 0.46/0.66 (step @p21 :rule eq-refl :args (@t17)) % 0.46/0.66 (step @p22 :rule cong :premises (@p21) :args (@t51)) % 0.46/0.66 (step @p23 :rule trans :premises (@p22 @p20)) % 0.46/0.66 (step @p24 :rule refl :args (@t16)) % 0.46/0.66 (step @p25 :rule refl :args (@t4)) % 0.46/0.66 (step @p26 :rule nary_cong :premises (@p25 @p24 @p23 @p19 @p18 @p17) :args (@t52)) % 0.46/0.66 (step @p27 :rule trans :premises (@p26 @p16)) % 0.46/0.66 (step @p28 :rule cong :premises (@p27) :args ((forall @t5 @t52))) % 0.46/0.66 (step @p29 :rule quant-var-elim-eq :args ((= (forall @t59 (or (not @t38) @t4 @t16 @t58 @t56 @t46 @t44)) @t52))) % 0.46/0.66 (step @p30 :rule refl :args (@t44)) % 0.46/0.66 (step @p31 :rule refl :args (@t46)) % 0.46/0.66 (step @p32 :rule refl :args (@t56)) % 0.46/0.66 (step @p33 :rule refl :args (@t58)) % 0.46/0.66 (step @p34 :rule refl :args (@t16)) % 0.46/0.66 (step @p35 :rule refl :args (@t4)) % 0.46/0.66 (step @p36 :rule eq-symm :args (@t17 @t31)) % 0.46/0.66 (step @p37 :rule cong :premises (@p36) :args (@t58)) % 0.46/0.66 (step @p38 :rule nary_cong :premises (@p37 @p35 @p34 @p33 @p32 @p31 @p30) :args (@t60)) % 0.46/0.66 (step @p39 :rule aci_norm :args ((= @t61 @t60))) % 0.46/0.66 (step @p40 :rule trans :premises (@p39 @p38)) % 0.46/0.66 (step @p41 :rule cong :premises (@p40) :args (@t62)) % 0.46/0.66 (step @p42 :rule trans :premises (@p41 @p29)) % 0.46/0.66 (step @p43 :rule cong :premises (@p42) :args (@t63)) % 0.46/0.66 (step @p44 :rule quant-merge-prenex :args ((= @t63 (forall @t41 @t61)))) % 0.46/0.66 (step @p45 :rule symm :premises (@p44)) % 0.46/0.66 (step @p46 :rule trans :premises (@p45 @p43)) % 0.46/0.66 (step @p47 :rule trans :premises (@p46 @p28)) % 0.46/0.66 (step @p48 :rule aci_norm :args ((= (or (or @t4 @t16 @t58 @t56) @t64) @t61))) % 0.46/0.66 (step @p49 :rule refl :args (@t64)) % 0.46/0.66 (step @p50 :rule bool-or-de-morgan :args (@t55 @t53 false)) % 0.46/0.66 (step @p51 :rule nary_cong :premises (@p35 @p34 @p33 @p50) :args (@t67)) % 0.46/0.66 (step @p52 :rule aci_norm :args ((= (or @t4 (or @t16 (or @t58 @t66))) @t67))) % 0.46/0.66 (step @p53 :rule bool-and-de-morgan :args (@t57 @t65 true)) % 0.46/0.66 (step @p54 :rule nary_cong :premises (@p34 @p53) :args ((or @t16 (not (and @t57 @t65))))) % 0.46/0.66 (step @p55 :rule bool-and-de-morgan :args (@t15 @t57 (and @t65))) % 0.46/0.66 (step @p56 :rule trans :premises (@p55 @p54)) % 0.46/0.66 (step @p57 :rule nary_cong :premises (@p35 @p56) :args ((or @t4 (not (and @t15 @t57 @t65))))) % 0.46/0.66 (step @p58 :rule bool-and-de-morgan :args (@t3 @t15 (and @t57 @t65))) % 0.46/0.66 (step @p59 :rule trans :premises (@p58 @p57)) % 0.46/0.66 (step @p60 :rule trans :premises (@p59 @p52)) % 0.46/0.66 (step @p61 :rule trans :premises (@p60 @p51)) % 0.46/0.66 (step @p62 :rule nary_cong :premises (@p61 @p49) :args ((or (not @t68) @t64))) % 0.46/0.66 (step @p63 :rule trans :premises (@p62 @p48)) % 0.46/0.66 (step @p64 :rule bool-impl-elim :args (@t68 @t64)) % 0.46/0.66 (step @p65 :rule trans :premises (@p64 @p63)) % 0.46/0.66 (step @p66 :rule cong :premises (@p65) :args ((forall @t41 (=> @t68 @t64)))) % 0.46/0.66 (step @p67 :rule trans :premises (@p66 @p47)) % 0.46/0.66 (step @p68 :rule arith_poly_norm :args ((= (* 1 (- @t26 @t2)) (* -1 (- @t2 @t26))))) % 0.46/0.66 (step @p69 :rule arith_poly_norm_rel :premises (@p68) :args ((= @t27 @t44))) % 0.46/0.66 (step @p70 :rule arith_poly_norm :args ((= (* -1 (- @t26 @t69)) (* 1 (- @t2 @t45))))) % 0.46/0.66 (step @p71 :rule arith_poly_norm_rel :premises (@p70) :args ((= (= @t26 @t69) @t46))) % 0.46/0.66 (step @p72 :rule arith_poly_norm :args ((= (+ @t2 -1) @t69))) % 0.46/0.66 (step @p73 :rule evaluate :args (@t70)) % 0.46/0.66 (step @p74 :rule refl :args (@t2)) % 0.46/0.66 (step @p75 :rule nary_cong :premises (@p74 @p73) :args (@t71)) % 0.46/0.66 (step @p76 :rule trans :premises (@p75 @p72)) % 0.46/0.66 (step @p77 :rule arith_poly_norm :args ((= @t28 @t71))) % 0.46/0.66 (step @p78 :rule trans :premises (@p77 @p76)) % 0.46/0.66 (step @p79 :rule refl :args (@t26)) % 0.46/0.66 (step @p80 :rule cong :premises (@p79 @p78) :args (@t29)) % 0.46/0.66 (step @p81 :rule trans :premises (@p80 @p71)) % 0.46/0.66 (step @p82 :rule nary_cong :premises (@p81 @p69) :args (@t30)) % 0.46/0.66 (step @p83 :rule arith_poly_norm :args ((= (* 1 (- @t33 @t32)) (* -1 (- @t32 @t33))))) % 0.46/0.66 (step @p84 :rule arith_poly_norm_rel :premises (@p83) :args ((= @t34 @t53))) % 0.46/0.66 (step @p85 :rule arith_poly_norm :args ((= (* -1 (- @t33 @t72)) (* 1 (- @t32 @t54))))) % 0.46/0.66 (step @p86 :rule arith_poly_norm_rel :premises (@p85) :args ((= (= @t33 @t72) @t55))) % 0.46/0.66 (step @p87 :rule arith_poly_norm :args ((= (+ @t32 -1) @t72))) % 0.46/0.66 (step @p88 :rule refl :args (@t32)) % 0.46/0.66 (step @p89 :rule nary_cong :premises (@p88 @p73) :args (@t73)) % 0.46/0.66 (step @p90 :rule trans :premises (@p89 @p87)) % 0.46/0.66 (step @p91 :rule arith_poly_norm :args ((= @t35 @t73))) % 0.46/0.66 (step @p92 :rule trans :premises (@p91 @p90)) % 0.46/0.66 (step @p93 :rule refl :args (@t33)) % 0.46/0.66 (step @p94 :rule cong :premises (@p93 @p92) :args (@t36)) % 0.46/0.66 (step @p95 :rule trans :premises (@p94 @p86)) % 0.46/0.66 (step @p96 :rule nary_cong :premises (@p95 @p84) :args (@t37)) % 0.46/0.66 (step @p97 :rule eq-symm :args (@t31 @t17)) % 0.46/0.66 (step @p98 :rule refl :args (@t15)) % 0.46/0.66 (step @p99 :rule refl :args (@t3)) % 0.46/0.66 (step @p100 :rule nary_cong :premises (@p99 @p98 @p97 @p96) :args (@t39)) % 0.46/0.66 (step @p101 :rule cong :premises (@p100 @p82) :args (@t40)) % 0.46/0.66 (step @p102 :rule cong :premises (@p101) :args (@t42)) % 0.46/0.66 (step @p103 :rule trans :premises (@p102 @p67)) % 0.46/0.66 (step @p104 :rule cong :premises (@p103) :args (@t43)) % 0.46/0.66 (step @p105 :rule eq_resolve :premises (@p14 @p104)) % 0.46/0.66 (step @p106 :rule skolemize :premises (@p105)) % 0.46/0.66 (step @p107 :rule cnf_or_neg :args (@t98 3)) % 0.46/0.66 (step @p108 :rule chain_m_resolution :premises (@p107 @p106) :args (@t99 @t100 @t101)) % 0.46/0.66 (step @p109 :rule cnf_or_neg :args (@t98 4)) % 0.46/0.66 (step @p110 :rule chain_m_resolution :premises (@p109 @p106) :args (@t102 @t100 @t101)) % 0.46/0.66 (step @p111 :rule aci_norm :args ((= (or @t104 @t24) @t103))) % 0.46/0.66 (step @p112 :rule refl :args (@t24)) % 0.46/0.66 (step @p113 :rule bool-and-de-morgan :args (@t3 @t15 true)) % 0.46/0.66 (step @p114 :rule nary_cong :premises (@p113 @p112) :args ((or @t105 @t24))) % 0.46/0.66 (step @p115 :rule trans :premises (@p114 @p111)) % 0.46/0.66 (step @p116 :rule bool-impl-elim :args (@t18 @t24)) % 0.46/0.66 (step @p117 :rule trans :premises (@p116 @p115)) % 0.46/0.66 (step @p118 :rule cong :premises (@p117) :args (@t25)) % 0.46/0.66 (step @p119 :rule eq_resolve :premises (@p13 @p118)) % 0.46/0.66 (step @p120 :rule eq-symm :args (@t106 @t84)) % 0.46/0.66 (step @p121 :rule refl :args (@t95)) % 0.46/0.66 (step @p122 :rule refl :args (@t97)) % 0.46/0.66 (step @p123 :rule nary_cong :premises (@p122 @p121 @p120) :args (@t107)) % 0.46/0.66 (step @p124 :rule refl :args (@t108)) % 0.46/0.66 (step @p125 :rule cong :premises (@p124 @p123) :args ((=> @t108 @t107))) % 0.46/0.66 (assume-push @p762 @t108) % 0.46/0.66 (step @p127 :rule instantiate :premises (@p119) :args (@t109)) % 0.46/0.66 (step-pop @p763 :rule scope :premises (@p127)) % 0.46/0.66 (step @p128 :rule process_scope :premises (@p763) :args (@t107)) % 0.46/0.66 (step @p130 :rule eq_resolve :premises (@p128 @p125)) % 0.46/0.66 (step @p131 :rule implies_elim :premises (@p130)) % 0.46/0.66 (step @p132 :rule chain_m_resolution :premises (@p131 @p119) :args (@t111 @t112 (@list @t108))) % 0.46/0.66 (step @p133 :rule bool-double-not-elim :args (@t94)) % 0.46/0.66 (step @p134 :rule refl :args (@t98)) % 0.46/0.66 (step @p135 :rule nary_cong :premises (@p134 @p133) :args ((or @t98 (not @t95)))) % 0.46/0.66 (step @p136 :rule cnf_or_neg :args (@t98 1)) % 0.46/0.66 (step @p137 :rule eq_resolve :premises (@p136 @p135)) % 0.46/0.66 (step @p138 :rule reordering :premises (@p137) :args ((or @t94 @t98))) % 0.46/0.66 (step @p139 :rule chain_m_resolution :premises (@p138 @p106) :args (@t94 @t100 @t101)) % 0.46/0.66 (step @p140 :rule bool-double-not-elim :args (@t96)) % 0.46/0.66 (step @p141 :rule nary_cong :premises (@p134 @p140) :args ((or @t98 (not @t97)))) % 0.46/0.66 (step @p142 :rule cnf_or_neg :args (@t98 0)) % 0.46/0.66 (step @p143 :rule eq_resolve :premises (@p142 @p141)) % 0.46/0.66 (step @p144 :rule reordering :premises (@p143) :args ((or @t96 @t98))) % 0.46/0.66 (step @p145 :rule chain_m_resolution :premises (@p144 @p106) :args (@t96 @t100 @t101)) % 0.46/0.66 (step @p146 :rule cnf_or_pos :args (@t111)) % 0.46/0.66 (step @p147 :rule reordering :premises (@p146) :args ((or @t97 @t95 @t110 (not @t111)))) % 0.46/0.66 (step @p148 :rule chain_m_resolution :premises (@p147 @p145 @p139 @p132) :args (@t110 @t113 (@list @t96 @t94 @t111))) % 0.46/0.66 (step @p149 :rule bool-impl-elim :args (@t3 @t115)) % 0.46/0.66 (step @p150 :rule cong :premises (@p149) :args ((forall @t5 (=> @t3 @t115)))) % 0.46/0.66 (step @p151 :rule arith_poly_norm :args ((= @t8 @t114))) % 0.46/0.66 (step @p152 :rule cong :premises (@p74 @p151) :args (@t9)) % 0.46/0.66 (step @p153 :rule cong :premises (@p99 @p152) :args (@t10)) % 0.46/0.66 (step @p154 :rule cong :premises (@p153) :args (@t11)) % 0.46/0.66 (step @p155 :rule trans :premises (@p154 @p150)) % 0.46/0.66 (step @p156 :rule eq_resolve :premises (@p3 @p155)) % 0.46/0.66 (step @p157 :rule arith_poly_norm :args ((= (* 1 (- @t116 @t119)) (* -1 @t118)))) % 0.46/0.66 (step @p158 :rule arith_poly_norm_rel :premises (@p157) :args ((= @t121 @t120))) % 0.46/0.66 (step @p159 :rule nary_cong :premises (@p121 @p158) :args (@t122)) % 0.46/0.66 (step @p160 :rule refl :args (@t123)) % 0.46/0.66 (step @p161 :rule cong :premises (@p160 @p159) :args ((=> @t123 @t122))) % 0.46/0.66 (assume-push @p764 @t123) % 0.46/0.66 (step @p163 :rule instantiate :premises (@p156) :args ((@list @t82))) % 0.46/0.66 (step-pop @p765 :rule scope :premises (@p163)) % 0.46/0.66 (step @p164 :rule process_scope :premises (@p765) :args (@t122)) % 0.46/0.66 (step @p166 :rule eq_resolve :premises (@p164 @p161)) % 0.46/0.66 (step @p167 :rule implies_elim :premises (@p166)) % 0.46/0.66 (step @p168 :rule chain_m_resolution :premises (@p167 @p156) :args (@t124 @t112 (@list @t123))) % 0.46/0.66 (step @p169 :rule cnf_or_pos :args (@t124)) % 0.46/0.66 (step @p170 :rule reordering :premises (@p169) :args ((or @t95 @t120 (not @t124)))) % 0.46/0.66 (step @p171 :rule chain_m_resolution :premises (@p170 @p139 @p168) :args (@t120 @t125 (@list @t94 @t124))) % 0.46/0.66 (step @p172 :rule instantiate :premises (@p156) :args (@t109)) % 0.46/0.66 (step @p173 :rule cnf_or_pos :args (@t128)) % 0.46/0.66 (step @p174 :rule reordering :premises (@p173) :args ((or @t97 @t127 (not @t128)))) % 0.46/0.66 (step @p175 :rule chain_m_resolution :premises (@p174 @p145 @p172) :args (@t127 @t125 (@list @t96 @t128))) % 0.46/0.66 (step @p176 :rule instantiate :premises (@p156) :args ((@list @t75))) % 0.46/0.66 (step @p177 :rule aci_norm :args ((= (or @t104 @t20) (or @t4 @t16 @t20)))) % 0.46/0.66 (step @p178 :rule refl :args (@t20)) % 0.46/0.66 (step @p179 :rule nary_cong :premises (@p113 @p178) :args ((or @t105 @t20))) % 0.46/0.66 (step @p180 :rule trans :premises (@p179 @p177)) % 0.46/0.66 (step @p181 :rule bool-impl-elim :args (@t18 @t20)) % 0.46/0.66 (step @p182 :rule trans :premises (@p181 @p180)) % 0.46/0.66 (step @p183 :rule cong :premises (@p182) :args (@t22)) % 0.46/0.66 (step @p184 :rule eq_resolve :premises (@p11 @p183)) % 0.46/0.66 (step @p185 :rule instantiate :premises (@p184) :args (@t109)) % 0.46/0.66 (step @p186 :rule cnf_or_pos :args (@t130)) % 0.46/0.66 (step @p187 :rule reordering :premises (@p186) :args ((or @t97 @t95 @t129 (not @t130)))) % 0.46/0.66 (step @p188 :rule chain_m_resolution :premises (@p187 @p145 @p139 @p185) :args (@t129 @t113 (@list @t96 @t94 @t130))) % 0.46/0.66 (step @p189 :rule cnf_or_pos :args (@t135)) % 0.46/0.66 (step @p190 :rule reordering :premises (@p189) :args ((or @t134 @t133 (not @t135)))) % 0.46/0.66 (step @p191 :rule chain_m_resolution :premises (@p190 @p188 @p176) :args (@t133 @t125 (@list @t129 @t135))) % 0.46/0.66 (step @p192 :rule cnf_or_neg :args (@t98 2)) % 0.46/0.66 (step @p193 :rule chain_m_resolution :premises (@p192 @p106) :args ((not @t93) @t100 @t101)) % 0.46/0.66 (assume-push @p766 @t91) % 0.46/0.66 (assume-push @p767 @t91) % 0.46/0.66 (step @p196 :rule arith-elim-lt :args (@t136 2)) % 0.46/0.66 (step @p197 :rule symm :premises (@p196)) % 0.46/0.66 (assume-push @p768 @t137) % 0.46/0.66 (step @p199 :rule evaluate :args ((<= 0 -1))) % 0.46/0.66 (step @p200 :rule evaluate :args ((+ -2 1))) % 0.46/0.66 (step @p201 :rule refl :args (1)) % 0.46/0.66 (step @p202 :rule evaluate :args (@t138)) % 0.46/0.66 (step @p203 :rule nary_cong :premises (@p202 @p201) :args (@t139)) % 0.46/0.66 (step @p204 :rule trans :premises (@p203 @p200)) % 0.46/0.66 (step @p205 :rule evaluate :args (@t140)) % 0.46/0.66 (step @p206 :rule arith_poly_norm :args (@t142)) % 0.46/0.66 (step @p207 :rule arith_poly_norm :args (@t144)) % 0.46/0.66 (step @p208 :rule nary_cong :premises (@p207 @p206) :args (@t145)) % 0.46/0.66 (step @p209 :rule trans :premises (@p208 @p205)) % 0.46/0.66 (step @p210 :rule arith_poly_norm :args (@t147)) % 0.46/0.66 (step @p211 :rule trans :premises (@p210 @p209)) % 0.46/0.66 (step @p212 :rule cong :premises (@p211 @p204) :args ((<= @t146 @t139))) % 0.46/0.66 (step @p213 :rule trans :premises (@p212 @p199)) % 0.46/0.66 (step @p214 :rule arith_poly_norm :args (@t148)) % 0.46/0.66 (step @p215 :rule arith_poly_norm_rel :premises (@p214) :args (@t150)) % 0.46/0.66 (step @p216 :rule symm :premises (@p215)) % 0.46/0.66 (step @p217 :rule eq_resolve :premises (@p766 @p216)) % 0.46/0.66 (step @p218 :rule arith_mult_neg :args (-1 @t137)) % 0.46/0.66 (step @p219 :rule evaluate :args (@t151)) % 0.46/0.66 (step @p220 :rule true_elim :premises (@p219)) % 0.46/0.66 (step @p221 :rule and_intro :premises (@p220 @p768)) % 0.46/0.66 (step @p222 :rule modus_ponens :premises (@p221 @p218)) % 0.46/0.66 (step @p223 :rule arith_sum_ub :premises (@p222 @p217)) % 0.46/0.66 (step @p224 false :rule eq_resolve :premises (@p223 @p213)) % 0.46/0.66 (step-pop @p769 :rule scope :premises (@p224)) % 0.46/0.66 (step @p225 :rule process_scope :premises (@p769) :args (false)) % 0.46/0.66 (step @p227 :rule eq_resolve :premises (@p225 @p197)) % 0.46/0.66 (step @p228 :rule eq_resolve :premises (@p227 @p196)) % 0.46/0.66 (step-pop @p770 :rule scope :premises (@p228)) % 0.46/0.66 (step @p229 :rule process_scope :premises (@p770) :args (@t152)) % 0.46/0.66 (step @p231 :rule modus_ponens :premises (@p766 @p229)) % 0.46/0.66 (step-pop @p771 :rule scope :premises (@p231)) % 0.46/0.66 (step @p232 :rule process_scope :premises (@p771) :args (@t152)) % 0.46/0.66 (step @p234 :rule implies_elim :premises (@p232)) % 0.46/0.66 (step @p235 :rule refl :args (@t153)) % 0.46/0.66 (step @p236 :rule refl :args (@t154)) % 0.46/0.66 (step @p237 :rule bool-double-not-elim :args (@t137)) % 0.46/0.66 (step @p238 :rule refl :args (@t155)) % 0.46/0.66 (step @p239 :rule refl :args (@t156)) % 0.46/0.66 (step @p240 :rule refl :args (@t160)) % 0.46/0.66 (step @p241 :rule bool-double-not-elim :args (@t79)) % 0.46/0.66 (step @p242 :rule bool-double-not-elim :args (@t81)) % 0.46/0.66 (step @p243 :rule nary_cong :premises (@p242 @p241 @p240 @p239 @p238 @p237 @p236 @p235) :args ((or (not @t99) (not @t102) @t160 @t156 @t155 (not @t152) @t154 @t153))) % 0.46/0.66 (assume-push @p772 @t133) % 0.46/0.66 (assume-push @p773 @t152) % 0.46/0.66 (assume-push @p774 @t127) % 0.46/0.66 (assume-push @p775 @t120) % 0.46/0.66 (assume-push @p776 @t99) % 0.46/0.66 (assume-push @p777 @t102) % 0.46/0.66 (assume-push @p778 @t159) % 0.46/0.66 (assume-push @p779 @t161) % 0.46/0.66 (assume-push @p780 @t164) % 0.46/0.66 (step @p253 :rule evaluate :args (@t165)) % 0.46/0.66 (step @p254 :rule evaluate :args ((+ 0/1 -1/1 1/2 1/2 1/1 -1/1))) % 0.46/0.66 (step @p255 :rule evaluate :args (@t166)) % 0.46/0.66 (step @p256 :rule cong :premises (@p73) :args (@t167)) % 0.46/0.66 (step @p257 :rule trans :premises (@p256 @p255)) % 0.46/0.66 (step @p258 :rule evaluate :args (@t168)) % 0.46/0.66 (step @p259 :rule evaluate :args (@t169)) % 0.46/0.66 (step @p260 :rule evaluate :args (@t170)) % 0.46/0.66 (step @p261 :rule evaluate :args (@t171)) % 0.46/0.66 (step @p262 :rule refl :args (0/1)) % 0.46/0.66 (step @p263 :rule nary_cong :premises (@p262 @p261 @p260 @p259 @p258 @p257) :args (@t172)) % 0.46/0.66 (step @p264 :rule trans :premises (@p263 @p254)) % 0.46/0.66 (step @p265 :rule evaluate :args (@t173)) % 0.46/0.66 (step @p266 :rule arith_poly_norm :args ((= (+ 0 0 @t76 @t175 @t174 0 @t85 0) 0))) % 0.46/0.66 (step @p206 :rule arith_poly_norm :args (@t142)) % 0.46/0.66 (step @p267 :rule refl :args (@t85)) % 0.46/0.66 (step @p268 :rule arith_poly_norm :args (@t177)) % 0.46/0.66 (step @p269 :rule refl :args (@t174)) % 0.46/0.66 (step @p270 :rule refl :args (@t175)) % 0.46/0.66 (step @p271 :rule refl :args (@t76)) % 0.46/0.66 (step @p272 :rule arith_poly_norm :args (@t179)) % 0.46/0.66 (step @p273 :rule arith_poly_norm :args (@t181)) % 0.46/0.66 (step @p274 :rule nary_cong :premises (@p273 @p272 @p271 @p270 @p269 @p268 @p267 @p206) :args (@t182)) % 0.46/0.66 (step @p275 :rule trans :premises (@p274 @p266)) % 0.46/0.66 (step @p276 :rule cong :premises (@p275) :args (@t183)) % 0.46/0.66 (step @p277 :rule trans :premises (@p276 @p265)) % 0.46/0.66 (step @p278 :rule arith_poly_norm :args ((= @t198 @t183))) % 0.46/0.66 (step @p279 :rule trans :premises (@p278 @p277)) % 0.46/0.66 (step @p280 :rule cong :premises (@p279 @p264) :args (@t199)) % 0.46/0.66 (step @p281 :rule trans :premises (@p280 @p253)) % 0.46/0.66 (step @p282 :rule cong :premises (@p281) :args ((not @t199))) % 0.46/0.66 (step @p283 :rule trans :premises (@p282 @p20)) % 0.46/0.66 (step @p284 :rule arith-elim-lt :args (@t198 @t172)) % 0.46/0.66 (step @p285 :rule trans :premises (@p284 @p283)) % 0.46/0.66 (step @p286 :rule arith_mult_neg :args (-1 @t200)) % 0.46/0.66 (step @p287 :rule arith_poly_norm :args (@t201)) % 0.46/0.66 (step @p288 :rule arith_poly_norm_rel :premises (@p287) :args (@t202)) % 0.46/0.66 (step @p289 :rule symm :premises (@p288)) % 0.46/0.66 (step @p290 :rule eq_resolve :premises (@p191 @p289)) % 0.46/0.66 (step @p219 :rule evaluate :args (@t151)) % 0.46/0.66 (step @p220 :rule true_elim :premises (@p219)) % 0.46/0.66 (step @p291 :rule and_intro :premises (@p220 @p290)) % 0.46/0.66 (step @p292 :rule modus_ponens :premises (@p291 @p286)) % 0.46/0.66 (step @p293 :rule cong :premises (@p292) :args (@t185)) % 0.46/0.66 (assume-push @p781 @t203) % 0.46/0.66 (assume-push @p782 @t204) % 0.46/0.66 (step @p296 :rule arith_mult_pos :args (1/2 (< @t186 2/1))) % 0.46/0.66 (step @p297 :rule evaluate :args (@t205)) % 0.46/0.66 (step @p298 :rule refl :args (@t186)) % 0.46/0.66 (step @p299 :rule cong :premises (@p298 @p297) :args (@t206)) % 0.46/0.66 (step @p300 :rule arith_poly_norm :args ((= (* -2/1 (to_real (- @t136 2))) (* -2/1 (- @t186 @t205))))) % 0.46/0.66 (step @p301 :rule arith_poly_norm_rel :premises (@p300) :args ((= @t204 @t206))) % 0.46/0.66 (step @p302 :rule trans :premises (@p301 @p299)) % 0.46/0.66 (step @p303 :rule eq_resolve :premises (@p782 @p302)) % 0.46/0.66 (step @p304 :rule and_intro :premises (@p781 @p303)) % 0.46/0.66 (step @p305 :rule modus_ponens :premises (@p304 @p296)) % 0.46/0.66 (step-pop @p783 :rule scope :premises (@p305)) % 0.46/0.66 (step-pop @p784 :rule scope :premises (@p783)) % 0.46/0.66 (step @p306 :rule process_scope :premises (@p784) :args ((< @t187 @t168))) % 0.46/0.66 (step @p196 :rule arith-elim-lt :args (@t136 2)) % 0.46/0.66 (step @p197 :rule symm :premises (@p196)) % 0.46/0.66 (step @p309 :rule eq_resolve :premises (@p773 @p197)) % 0.46/0.66 (step @p310 :rule evaluate :args (@t203)) % 0.46/0.66 (step @p311 :rule true_elim :premises (@p310)) % 0.46/0.66 (step @p312 :rule and_intro :premises (@p311 @p309)) % 0.46/0.66 (step @p313 :rule modus_ponens :premises (@p312 @p306)) % 0.46/0.66 (assume-push @p785 @t203) % 0.46/0.66 (assume-push @p786 @t207) % 0.46/0.66 (step @p316 :rule arith_mult_pos :args (1/2 @t208)) % 0.46/0.66 (step @p317 :rule evaluate :args (@t209)) % 0.46/0.66 (step @p318 :rule cong :premises (@p786) :args (@t190)) % 0.46/0.66 (step @p319 :rule trans :premises (@p318 @p317)) % 0.46/0.66 (step @p320 :rule and_intro :premises (@p785 @p319)) % 0.46/0.66 (step @p321 :rule modus_ponens :premises (@p320 @p316)) % 0.46/0.66 (step-pop @p787 :rule scope :premises (@p321)) % 0.46/0.66 (step-pop @p788 :rule scope :premises (@p787)) % 0.46/0.66 (step @p322 :rule process_scope :premises (@p788) :args ((= @t191 @t169))) % 0.46/0.66 (step @p325 :rule arith_poly_norm :args (@t210)) % 0.46/0.66 (step @p326 :rule arith_poly_norm_rel :premises (@p325) :args (@t211)) % 0.46/0.66 (step @p327 :rule symm :premises (@p326)) % 0.46/0.66 (step @p328 :rule eq_resolve :premises (@p175 @p327)) % 0.46/0.66 (step @p329 :rule and_intro :premises (@p311 @p328)) % 0.46/0.66 (step @p330 :rule modus_ponens :premises (@p329 @p322)) % 0.46/0.66 (assume-push @p789 @t212) % 0.46/0.66 (assume-push @p790 @t213) % 0.46/0.66 (step @p333 :rule arith_mult_neg :args (-1/2 @t214)) % 0.46/0.66 (step @p334 :rule evaluate :args (@t166)) % 0.46/0.66 (step @p335 :rule cong :premises (@p790) :args (@t193)) % 0.46/0.66 (step @p336 :rule trans :premises (@p335 @p334)) % 0.46/0.66 (step @p337 :rule and_intro :premises (@p789 @p336)) % 0.46/0.66 (step @p338 :rule modus_ponens :premises (@p337 @p333)) % 0.46/0.66 (step-pop @p791 :rule scope :premises (@p338)) % 0.46/0.66 (step-pop @p792 :rule scope :premises (@p791)) % 0.46/0.66 (step @p339 :rule process_scope :premises (@p792) :args ((= @t194 @t170))) % 0.46/0.66 (step @p342 :rule arith_poly_norm :args (@t215)) % 0.46/0.66 (step @p343 :rule arith_poly_norm_rel :premises (@p342) :args (@t216)) % 0.46/0.66 (step @p344 :rule symm :premises (@p343)) % 0.46/0.66 (step @p345 :rule eq_resolve :premises (@p171 @p344)) % 0.46/0.66 (step @p346 :rule evaluate :args (@t212)) % 0.46/0.66 (step @p347 :rule true_elim :premises (@p346)) % 0.46/0.66 (step @p348 :rule and_intro :premises (@p347 @p345)) % 0.46/0.66 (step @p349 :rule modus_ponens :premises (@p348 @p339)) % 0.46/0.66 (assume-push @p793 @t212) % 0.46/0.66 (assume-push @p794 @t217) % 0.46/0.66 (step @p352 :rule arith_mult_neg :args (-1/2 (>= @t195 2/1))) % 0.46/0.66 (step @p353 :rule evaluate :args (@t205)) % 0.46/0.66 (step @p354 :rule refl :args (@t195)) % 0.46/0.66 (step @p355 :rule cong :premises (@p354 @p353) :args (@t218)) % 0.46/0.66 (step @p356 :rule arith_poly_norm :args ((= (* -2/1 (to_real (- @t158 2))) (* -2/1 (- @t195 @t205))))) % 0.46/0.66 (step @p357 :rule arith_poly_norm_rel :premises (@p356) :args ((= @t217 @t218))) % 0.46/0.66 (step @p358 :rule trans :premises (@p357 @p355)) % 0.46/0.66 (step @p359 :rule eq_resolve :premises (@p794 @p358)) % 0.46/0.66 (step @p360 :rule and_intro :premises (@p793 @p359)) % 0.46/0.66 (step @p361 :rule modus_ponens :premises (@p360 @p352)) % 0.46/0.66 (step-pop @p795 :rule scope :premises (@p361)) % 0.46/0.66 (step-pop @p796 :rule scope :premises (@p795)) % 0.46/0.66 (step @p362 :rule process_scope :premises (@p796) :args ((<= @t196 @t171))) % 0.46/0.66 (step @p365 :rule arith_poly_norm :args ((= @t221 @t219))) % 0.46/0.66 (step @p366 :rule arith_poly_norm_rel :premises (@p365) :args ((= @t222 @t79))) % 0.46/0.66 (step @p367 :rule cong :premises (@p366) :args ((not @t222))) % 0.46/0.66 (step @p368 :rule symm :premises (@p367)) % 0.46/0.66 (step @p369 :rule eq_resolve :premises (@p110 @p368)) % 0.46/0.66 (step @p370 :rule arith_trichotomy :premises (@p369 @p778)) % 0.46/0.66 (step @p371 :rule int_tight_lb :premises (@p370)) % 0.46/0.66 (step @p372 :rule arith_poly_norm :args ((= @t224 (* -1 (- @t78 @t80))))) % 0.46/0.66 (step @p373 :rule arith_poly_norm_rel :premises (@p372) :args ((= @t225 @t81))) % 0.46/0.66 (step @p374 :rule cong :premises (@p373) :args ((not @t225))) % 0.46/0.66 (step @p375 :rule symm :premises (@p374)) % 0.46/0.66 (step @p376 :rule eq_resolve :premises (@p108 @p375)) % 0.46/0.66 (step @p377 :rule arith_trichotomy :premises (@p376 @p371)) % 0.46/0.66 (step @p378 :rule int_tight_lb :premises (@p377)) % 0.46/0.66 (step @p379 :rule and_intro :premises (@p347 @p378)) % 0.46/0.66 (step @p380 :rule modus_ponens :premises (@p379 @p362)) % 0.46/0.66 (step @p381 :rule evaluate :args (@t173)) % 0.46/0.66 (step @p382 :rule arith_poly_norm :args (@t226)) % 0.46/0.66 (step @p383 :rule arith_poly_norm_rel :premises (@p382) :args (@t227)) % 0.46/0.66 (step @p384 :rule symm :premises (@p383)) % 0.46/0.66 (step @p385 :rule cong :premises (@p148) :args (@t85)) % 0.46/0.66 (step @p386 :rule eq_resolve :premises (@p385 @p384)) % 0.46/0.66 (step @p387 :rule cong :premises (@p386) :args (@t197)) % 0.46/0.66 (step @p388 :rule trans :premises (@p387 @p381)) % 0.46/0.66 (step @p389 :rule arith_sum_ub :premises (@p388 @p380 @p349 @p330 @p313 @p293)) % 0.46/0.66 (step @p390 false :rule eq_resolve :premises (@p389 @p285)) % 0.46/0.66 (step-pop @p797 :rule scope :premises (@p390)) % 0.46/0.66 (step @p391 :rule process_scope :premises (@p797) :args (false)) % 0.46/0.66 (step @p382 :rule arith_poly_norm :args (@t226)) % 0.46/0.66 (step @p383 :rule arith_poly_norm_rel :premises (@p382) :args (@t227)) % 0.46/0.66 (step @p384 :rule symm :premises (@p383)) % 0.46/0.66 (step @p385 :rule cong :premises (@p148) :args (@t85)) % 0.46/0.66 (step @p393 :rule eq_resolve :premises (@p385 @p384)) % 0.46/0.66 (step @p394 false :rule contra :premises (@p393 @p391)) % 0.46/0.66 (step-pop @p798 :rule scope :premises (@p394)) % 0.46/0.66 (step-pop @p799 :rule scope :premises (@p798)) % 0.46/0.66 (step-pop @p800 :rule scope :premises (@p799)) % 0.46/0.66 (step-pop @p801 :rule scope :premises (@p800)) % 0.46/0.66 (step-pop @p802 :rule scope :premises (@p801)) % 0.46/0.66 (step-pop @p803 :rule scope :premises (@p802)) % 0.46/0.66 (step-pop @p804 :rule scope :premises (@p803)) % 0.46/0.66 (step-pop @p805 :rule scope :premises (@p804)) % 0.46/0.66 (step @p395 :rule process_scope :premises (@p805) :args (false)) % 0.46/0.66 (assume-push @p806 @t99) % 0.46/0.66 (assume-push @p807 @t102) % 0.46/0.66 (assume-push @p808 @t159) % 0.46/0.66 (assume-push @p809 @t110) % 0.46/0.66 (assume-push @p810 @t120) % 0.46/0.66 (assume-push @p811 @t152) % 0.46/0.66 (assume-push @p812 @t127) % 0.46/0.66 (assume-push @p813 @t133) % 0.46/0.66 (step @p412 :rule cong :premises (@p148) :args (@t85)) % 0.46/0.66 (step @p413 :rule and_intro :premises (@p191 @p811 @p175 @p171 @p108 @p110 @p808 @p412)) % 0.46/0.66 (step-pop @p814 :rule scope :premises (@p413)) % 0.46/0.66 (step-pop @p815 :rule scope :premises (@p814)) % 0.46/0.66 (step-pop @p816 :rule scope :premises (@p815)) % 0.46/0.66 (step-pop @p817 :rule scope :premises (@p816)) % 0.46/0.66 (step-pop @p818 :rule scope :premises (@p817)) % 0.46/0.66 (step-pop @p819 :rule scope :premises (@p818)) % 0.46/0.66 (step-pop @p820 :rule scope :premises (@p819)) % 0.46/0.66 (step-pop @p821 :rule scope :premises (@p820)) % 0.46/0.66 (step @p414 :rule process_scope :premises (@p821) :args (@t228)) % 0.46/0.66 (step @p423 :rule implies_elim :premises (@p414)) % 0.46/0.66 (step @p424 :rule resolution :premises (@p423 @p395) :args (true @t228)) % 0.46/0.66 (step @p425 :rule not_and :premises (@p424)) % 0.46/0.66 (step @p426 :rule eq_resolve :premises (@p425 @p243)) % 0.46/0.66 (step @p427 :rule arith_poly_norm :args ((= @t219 @t221))) % 0.46/0.66 (step @p428 :rule arith_poly_norm_rel :premises (@p427) :args ((= @t229 @t159))) % 0.46/0.66 (step @p429 :rule arith_poly_norm :args ((= (* -1 (- @t78 @t230)) @t224))) % 0.46/0.66 (step @p430 :rule arith_poly_norm_rel :premises (@p429) :args ((= @t232 @t231))) % 0.46/0.66 (step @p431 :rule cong :premises (@p430) :args ((not @t232))) % 0.46/0.66 (step @p432 :rule arith-leq-norm :args (@t78 @t77)) % 0.46/0.66 (step @p433 :rule trans :premises (@p432 @p431)) % 0.46/0.66 (step @p434 :rule nary_cong :premises (@p433 @p428) :args ((or @t233 @t229))) % 0.46/0.66 (step @p435 :rule symm :premises (@p434)) % 0.46/0.66 (step @p436 :rule bool-double-not-elim :args (@t229)) % 0.46/0.66 (step @p437 :rule trans :premises (@p436 @p428)) % 0.46/0.66 (step @p438 :rule bool-double-not-elim :args (@t233)) % 0.46/0.66 (step @p439 :rule trans :premises (@p438 @p433)) % 0.46/0.66 (step @p440 :rule nary_cong :premises (@p439 @p437) :args ((or (not @t235) (not @t234)))) % 0.46/0.66 (step @p441 :rule trans :premises (@p440 @p435)) % 0.46/0.66 (assume-push @p822 @t235) % 0.46/0.66 (assume-push @p823 @t234) % 0.46/0.66 (step @p444 :rule evaluate :args ((>= 0 0))) % 0.46/0.66 (step @p445 :rule arith_poly_norm :args ((= (+ @t157 @t77) 0))) % 0.46/0.66 (step @p446 :rule refl :args (@t77)) % 0.46/0.66 (step @p447 :rule arith_poly_norm :args ((= @t236 @t157))) % 0.46/0.66 (step @p448 :rule nary_cong :premises (@p447 @p446) :args (@t237)) % 0.46/0.66 (step @p449 :rule trans :premises (@p448 @p445)) % 0.46/0.66 (step @p450 :rule arith_poly_norm :args ((= @t238 0))) % 0.46/0.66 (step @p451 :rule cong :premises (@p450 @p449) :args (@t239)) % 0.46/0.66 (step @p452 :rule trans :premises (@p451 @p444)) % 0.46/0.66 (step @p453 :rule cong :premises (@p452) :args ((not @t239))) % 0.46/0.66 (step @p454 :rule trans :premises (@p453 @p20)) % 0.46/0.66 (step @p455 :rule arith-elim-lt :args (@t238 @t237)) % 0.46/0.66 (step @p456 :rule trans :premises (@p455 @p454)) % 0.46/0.66 (step @p457 :rule cong :premises (@p428) :args (@t234)) % 0.46/0.66 (step @p458 :rule arith-elim-lt :args (@t78 @t77)) % 0.46/0.66 (step @p459 :rule trans :premises (@p458 @p457)) % 0.46/0.66 (step @p460 :rule symm :premises (@p459)) % 0.46/0.66 (step @p461 :rule trans :premises (@p457 @p460)) % 0.46/0.66 (step @p462 :rule eq_resolve :premises (@p823 @p461)) % 0.46/0.66 (step @p463 :rule arith_mult_neg :args (-1 (> @t78 @t77))) % 0.46/0.66 (step @p464 :rule bool-double-not-elim :args (@t231)) % 0.46/0.66 (step @p465 :rule cong :premises (@p433) :args (@t235)) % 0.46/0.66 (step @p466 :rule trans :premises (@p465 @p464)) % 0.46/0.66 (step @p467 :rule arith-elim-leq :args (@t78 @t77)) % 0.46/0.66 (step @p468 :rule symm :premises (@p467)) % 0.46/0.66 (step @p469 :rule cong :premises (@p468) :args ((not (>= @t77 @t78)))) % 0.46/0.66 (step @p470 :rule arith-elim-gt :args (@t78 @t77)) % 0.46/0.66 (step @p471 :rule trans :premises (@p470 @p469)) % 0.46/0.66 (step @p472 :rule trans :premises (@p471 @p466)) % 0.46/0.66 (step @p473 :rule symm :premises (@p472)) % 0.46/0.66 (step @p474 :rule trans :premises (@p466 @p473)) % 0.46/0.66 (step @p475 :rule eq_resolve :premises (@p822 @p474)) % 0.46/0.66 (step @p219 :rule evaluate :args (@t151)) % 0.46/0.66 (step @p220 :rule true_elim :premises (@p219)) % 0.46/0.66 (step @p476 :rule and_intro :premises (@p220 @p475)) % 0.46/0.66 (step @p477 :rule modus_ponens :premises (@p476 @p463)) % 0.46/0.66 (step @p478 :rule arith_sum_ub :premises (@p477 @p462)) % 0.46/0.66 (step @p479 false :rule eq_resolve :premises (@p478 @p456)) % 0.46/0.66 (step-pop @p824 :rule scope :premises (@p479)) % 0.46/0.66 (step-pop @p825 :rule scope :premises (@p824)) % 0.46/0.66 (step @p480 :rule process_scope :premises (@p825) :args (false)) % 0.46/0.66 (step @p483 :rule not_and :premises (@p480)) % 0.46/0.66 (step @p484 :rule eq_resolve :premises (@p483 @p441)) % 0.46/0.66 (step @p485 :rule eq_resolve :premises (@p484 @p434)) % 0.46/0.66 (step @p464 :rule bool-double-not-elim :args (@t231)) % 0.46/0.66 (step @p486 :rule refl :args (@t92)) % 0.46/0.66 (step @p487 :rule nary_cong :premises (@p486 @p464 @p239 @p238 @p236 @p235) :args ((or @t92 (not @t240) @t156 @t155 @t154 @t153))) % 0.46/0.66 (assume-push @p826 @t127) % 0.46/0.66 (assume-push @p827 @t91) % 0.46/0.66 (assume-push @p828 @t133) % 0.46/0.66 (assume-push @p829 @t240) % 0.46/0.66 (assume-push @p830 @t120) % 0.46/0.66 (assume-push @p831 @t161) % 0.46/0.66 (assume-push @p832 @t164) % 0.46/0.66 (step @p253 :rule evaluate :args (@t165)) % 0.46/0.66 (step @p495 :rule evaluate :args ((+ 0/1 -1/2 1/2 1/1 -1/2 -1/2))) % 0.46/0.66 (step @p496 :rule evaluate :args (@t241)) % 0.46/0.66 (step @p497 :rule refl :args (1/1)) % 0.46/0.66 (step @p259 :rule evaluate :args (@t169)) % 0.46/0.66 (step @p498 :rule evaluate :args (@t242)) % 0.46/0.66 (step @p499 :rule evaluate :args (@t173)) % 0.46/0.66 (step @p500 :rule evaluate :args (@t243)) % 0.46/0.66 (step @p501 :rule cong :premises (@p500) :args (@t244)) % 0.46/0.66 (step @p502 :rule trans :premises (@p501 @p499)) % 0.46/0.66 (step @p503 :rule nary_cong :premises (@p502 @p498 @p259 @p497 @p496 @p496) :args (@t245)) % 0.46/0.66 (step @p504 :rule trans :premises (@p503 @p495)) % 0.46/0.66 (step @p265 :rule evaluate :args (@t173)) % 0.46/0.66 (step @p505 :rule arith_poly_norm :args (@t246)) % 0.46/0.66 (step @p206 :rule arith_poly_norm :args (@t142)) % 0.46/0.66 (step @p270 :rule refl :args (@t175)) % 0.46/0.66 (step @p268 :rule arith_poly_norm :args (@t177)) % 0.46/0.66 (step @p271 :rule refl :args (@t76)) % 0.46/0.66 (step @p267 :rule refl :args (@t85)) % 0.46/0.66 (step @p269 :rule refl :args (@t174)) % 0.46/0.66 (step @p272 :rule arith_poly_norm :args (@t179)) % 0.46/0.66 (step @p273 :rule arith_poly_norm :args (@t181)) % 0.46/0.66 (step @p506 :rule nary_cong :premises (@p273 @p272 @p269 @p267 @p271 @p268 @p270 @p206) :args (@t247)) % 0.46/0.66 (step @p507 :rule trans :premises (@p506 @p505)) % 0.46/0.66 (step @p508 :rule cong :premises (@p507) :args (@t248)) % 0.46/0.66 (step @p509 :rule trans :premises (@p508 @p265)) % 0.46/0.66 (step @p510 :rule arith_poly_norm :args ((= @t255 @t248))) % 0.46/0.66 (step @p511 :rule trans :premises (@p510 @p509)) % 0.46/0.66 (step @p512 :rule cong :premises (@p511 @p504) :args (@t256)) % 0.46/0.66 (step @p513 :rule trans :premises (@p512 @p253)) % 0.46/0.66 (step @p514 :rule cong :premises (@p513) :args ((not @t256))) % 0.46/0.66 (step @p515 :rule trans :premises (@p514 @p20)) % 0.46/0.66 (step @p516 :rule arith-elim-lt :args (@t255 @t245)) % 0.46/0.66 (step @p517 :rule trans :premises (@p516 @p515)) % 0.46/0.66 (assume-push @p833 @t212) % 0.46/0.66 (assume-push @p834 @t207) % 0.46/0.66 (step @p520 :rule arith_mult_neg :args (-1/2 @t208)) % 0.46/0.66 (step @p521 :rule evaluate :args (@t209)) % 0.46/0.66 (step @p522 :rule cong :premises (@p834) :args (@t190)) % 0.46/0.66 (step @p523 :rule trans :premises (@p522 @p521)) % 0.46/0.66 (step @p524 :rule and_intro :premises (@p833 @p523)) % 0.46/0.66 (step @p525 :rule modus_ponens :premises (@p524 @p520)) % 0.46/0.66 (step-pop @p835 :rule scope :premises (@p525)) % 0.46/0.66 (step-pop @p836 :rule scope :premises (@p835)) % 0.46/0.66 (step @p526 :rule process_scope :premises (@p836) :args (@t257)) % 0.46/0.66 (step @p325 :rule arith_poly_norm :args (@t210)) % 0.46/0.66 (step @p326 :rule arith_poly_norm_rel :premises (@p325) :args (@t211)) % 0.46/0.66 (step @p327 :rule symm :premises (@p326)) % 0.46/0.66 (step @p328 :rule eq_resolve :premises (@p175 @p327)) % 0.46/0.66 (step @p346 :rule evaluate :args (@t212)) % 0.46/0.66 (step @p347 :rule true_elim :premises (@p346)) % 0.46/0.66 (step @p529 :rule and_intro :premises (@p347 @p328)) % 0.46/0.66 (step @p530 :rule modus_ponens :premises (@p529 @p526)) % 0.46/0.66 (assume-push @p837 @t212) % 0.46/0.66 (assume-push @p838 @t149) % 0.46/0.66 (step @p533 :rule arith_mult_neg :args (-1/2 (= @t186 1/1))) % 0.46/0.66 (step @p534 :rule evaluate :args (@t209)) % 0.46/0.66 (step @p535 :rule cong :premises (@p838) :args (@t186)) % 0.46/0.66 (step @p536 :rule trans :premises (@p535 @p534)) % 0.46/0.66 (step @p537 :rule and_intro :premises (@p837 @p536)) % 0.46/0.66 (step @p538 :rule modus_ponens :premises (@p537 @p533)) % 0.46/0.66 (step-pop @p839 :rule scope :premises (@p538)) % 0.46/0.66 (step-pop @p840 :rule scope :premises (@p839)) % 0.46/0.66 (step @p539 :rule process_scope :premises (@p840) :args ((= @t250 @t241))) % 0.46/0.66 (step @p214 :rule arith_poly_norm :args (@t148)) % 0.46/0.66 (step @p215 :rule arith_poly_norm_rel :premises (@p214) :args (@t150)) % 0.46/0.66 (step @p216 :rule symm :premises (@p215)) % 0.46/0.66 (step @p542 :rule eq_resolve :premises (@p827 @p216)) % 0.46/0.66 (step @p543 :rule and_intro :premises (@p347 @p542)) % 0.46/0.66 (step @p544 :rule modus_ponens :premises (@p543 @p539)) % 0.46/0.66 (step @p545 :rule evaluate :args (@t209)) % 0.46/0.66 (step @p287 :rule arith_poly_norm :args (@t201)) % 0.46/0.66 (step @p288 :rule arith_poly_norm_rel :premises (@p287) :args (@t202)) % 0.46/0.66 (step @p289 :rule symm :premises (@p288)) % 0.46/0.66 (step @p290 :rule eq_resolve :premises (@p191 @p289)) % 0.46/0.66 (step @p546 :rule cong :premises (@p290) :args (@t251)) % 0.46/0.66 (step @p547 :rule trans :premises (@p546 @p545)) % 0.46/0.66 (assume-push @p841 @t203) % 0.46/0.66 (assume-push @p842 @t258) % 0.46/0.66 (step @p550 :rule arith_mult_pos :args (1/2 (< @t195 1/1))) % 0.46/0.66 (step @p551 :rule evaluate :args (@t209)) % 0.46/0.66 (step @p552 :rule refl :args (@t195)) % 0.46/0.66 (step @p553 :rule cong :premises (@p552 @p551) :args (@t259)) % 0.46/0.66 (step @p554 :rule arith_poly_norm :args ((= (* -1/1 (to_real @t223)) (* -1/1 (- @t195 @t209))))) % 0.46/0.66 (step @p555 :rule arith_poly_norm_rel :premises (@p554) :args ((= @t258 @t259))) % 0.46/0.66 (step @p556 :rule trans :premises (@p555 @p553)) % 0.46/0.66 (step @p557 :rule eq_resolve :premises (@p842 @p556)) % 0.46/0.66 (step @p558 :rule and_intro :premises (@p841 @p557)) % 0.46/0.66 (step @p559 :rule modus_ponens :premises (@p558 @p550)) % 0.46/0.66 (step-pop @p843 :rule scope :premises (@p559)) % 0.46/0.66 (step-pop @p844 :rule scope :premises (@p843)) % 0.46/0.66 (step @p560 :rule process_scope :premises (@p844) :args ((< @t252 @t169))) % 0.46/0.66 (step @p563 :rule arith-elim-lt :args (@t158 1)) % 0.46/0.66 (step @p564 :rule symm :premises (@p563)) % 0.46/0.66 (step @p565 :rule eq_resolve :premises (@p829 @p564)) % 0.46/0.66 (step @p310 :rule evaluate :args (@t203)) % 0.46/0.66 (step @p311 :rule true_elim :premises (@p310)) % 0.46/0.66 (step @p566 :rule and_intro :premises (@p311 @p565)) % 0.46/0.66 (step @p567 :rule modus_ponens :premises (@p566 @p560)) % 0.46/0.66 (assume-push @p845 @t203) % 0.46/0.66 (assume-push @p846 @t213) % 0.46/0.66 (step @p570 :rule arith_mult_pos :args (1/2 @t214)) % 0.46/0.66 (step @p571 :rule evaluate :args (@t166)) % 0.46/0.66 (step @p572 :rule cong :premises (@p846) :args (@t193)) % 0.46/0.66 (step @p573 :rule trans :premises (@p572 @p571)) % 0.46/0.66 (step @p574 :rule and_intro :premises (@p845 @p573)) % 0.46/0.66 (step @p575 :rule modus_ponens :premises (@p574 @p570)) % 0.46/0.66 (step-pop @p847 :rule scope :premises (@p575)) % 0.46/0.66 (step-pop @p848 :rule scope :premises (@p847)) % 0.46/0.66 (step @p576 :rule process_scope :premises (@p848) :args (@t260)) % 0.46/0.66 (step @p342 :rule arith_poly_norm :args (@t215)) % 0.46/0.66 (step @p343 :rule arith_poly_norm_rel :premises (@p342) :args (@t216)) % 0.46/0.66 (step @p344 :rule symm :premises (@p343)) % 0.46/0.66 (step @p345 :rule eq_resolve :premises (@p171 @p344)) % 0.46/0.66 (step @p579 :rule and_intro :premises (@p311 @p345)) % 0.46/0.67 (step @p580 :rule modus_ponens :premises (@p579 @p576)) % 0.46/0.67 (step @p581 :rule arith_mult_neg :args (-1 @t164)) % 0.46/0.67 (step @p382 :rule arith_poly_norm :args (@t226)) % 0.46/0.67 (step @p383 :rule arith_poly_norm_rel :premises (@p382) :args (@t227)) % 0.46/0.67 (step @p582 :rule symm :premises (@p383)) % 0.46/0.67 (step @p412 :rule cong :premises (@p148) :args (@t85)) % 0.46/0.67 (step @p583 :rule eq_resolve :premises (@p412 @p582)) % 0.46/0.67 (step @p219 :rule evaluate :args (@t151)) % 0.46/0.67 (step @p220 :rule true_elim :premises (@p219)) % 0.46/0.67 (step @p584 :rule and_intro :premises (@p220 @p583)) % 0.46/0.67 (step @p585 :rule modus_ponens :premises (@p584 @p581)) % 0.46/0.67 (step @p586 :rule cong :premises (@p585) :args (@t254)) % 0.46/0.67 (step @p587 :rule arith_sum_ub :premises (@p586 @p580 @p567 @p547 @p544 @p530)) % 0.46/0.67 (step @p588 false :rule eq_resolve :premises (@p587 @p517)) % 0.46/0.67 (step-pop @p849 :rule scope :premises (@p588)) % 0.46/0.67 (step @p589 :rule process_scope :premises (@p849) :args (false)) % 0.46/0.67 (step @p382 :rule arith_poly_norm :args (@t226)) % 0.46/0.67 (step @p383 :rule arith_poly_norm_rel :premises (@p382) :args (@t227)) % 0.46/0.67 (step @p582 :rule symm :premises (@p383)) % 0.46/0.67 (step @p412 :rule cong :premises (@p148) :args (@t85)) % 0.46/0.67 (step @p583 :rule eq_resolve :premises (@p412 @p582)) % 0.46/0.67 (step @p591 false :rule contra :premises (@p583 @p589)) % 0.46/0.67 (step-pop @p850 :rule scope :premises (@p591)) % 0.46/0.67 (step-pop @p851 :rule scope :premises (@p850)) % 0.46/0.67 (step-pop @p852 :rule scope :premises (@p851)) % 0.46/0.67 (step-pop @p853 :rule scope :premises (@p852)) % 0.46/0.67 (step-pop @p854 :rule scope :premises (@p853)) % 0.46/0.67 (step-pop @p855 :rule scope :premises (@p854)) % 0.46/0.67 (step @p592 :rule process_scope :premises (@p855) :args (false)) % 0.46/0.67 (assume-push @p856 @t91) % 0.46/0.67 (assume-push @p857 @t240) % 0.46/0.67 (assume-push @p858 @t110) % 0.46/0.67 (assume-push @p859 @t120) % 0.46/0.67 (assume-push @p860 @t127) % 0.46/0.67 (assume-push @p861 @t133) % 0.46/0.67 (step @p412 :rule cong :premises (@p148) :args (@t85)) % 0.46/0.67 (step @p605 :rule and_intro :premises (@p175 @p856 @p191 @p857 @p171 @p412)) % 0.46/0.67 (step-pop @p862 :rule scope :premises (@p605)) % 0.46/0.67 (step-pop @p863 :rule scope :premises (@p862)) % 0.46/0.67 (step-pop @p864 :rule scope :premises (@p863)) % 0.46/0.67 (step-pop @p865 :rule scope :premises (@p864)) % 0.46/0.67 (step-pop @p866 :rule scope :premises (@p865)) % 0.46/0.67 (step-pop @p867 :rule scope :premises (@p866)) % 0.46/0.67 (step @p606 :rule process_scope :premises (@p867) :args (@t261)) % 0.46/0.67 (step @p613 :rule implies_elim :premises (@p606)) % 0.46/0.67 (step @p614 :rule resolution :premises (@p613 @p592) :args (true @t261)) % 0.46/0.67 (step @p615 :rule not_and :premises (@p614)) % 0.46/0.67 (step @p616 :rule eq_resolve :premises (@p615 @p487)) % 0.46/0.67 (step @p617 :rule chain_m_resolution :premises (@p616 @p191 @p175 @p171 @p148 @p485 @p426 @p191 @p175 @p171 @p148 @p110 @p108 @p234) :args (@t92 (@list false false false false true true false false false false true true true) (@list @t133 @t127 @t120 @t110 @t231 @t159 @t133 @t127 @t120 @t110 @t79 @t81 @t137))) % 0.46/0.67 (step @p618 :rule bool-double-not-elim :args (@t88)) % 0.46/0.67 (step @p619 :rule bool-double-not-elim :args (@t91)) % 0.46/0.67 (step @p620 :rule refl :args (@t93)) % 0.46/0.67 (step @p621 :rule nary_cong :premises (@p620 @p619 @p618) :args ((or @t93 (not @t92) (not @t89)))) % 0.46/0.67 (step @p622 :rule cnf_and_neg :args (@t93)) % 0.46/0.67 (step @p623 :rule eq_resolve :premises (@p622 @p621)) % 0.46/0.67 (step @p624 :rule reordering :premises (@p623) :args ((or @t91 @t88 @t93))) % 0.46/0.67 (step @p625 :rule chain_m_resolution :premises (@p624 @p617 @p193) :args (@t88 (@list true true) (@list @t91 @t93))) % 0.46/0.67 (assume-push @p868 @t88) % 0.46/0.67 (assume-push @p869 @t88) % 0.46/0.67 (step @p196 :rule arith-elim-lt :args (@t136 2)) % 0.46/0.67 (step @p197 :rule symm :premises (@p196)) % 0.46/0.67 (assume-push @p870 @t137) % 0.46/0.67 (step @p629 :rule evaluate :args ((<= 0 -2))) % 0.46/0.67 (step @p630 :rule evaluate :args ((+ -2 0))) % 0.46/0.67 (step @p631 :rule refl :args (0)) % 0.46/0.67 (step @p202 :rule evaluate :args (@t138)) % 0.46/0.67 (step @p632 :rule nary_cong :premises (@p202 @p631) :args (@t262)) % 0.46/0.67 (step @p633 :rule trans :premises (@p632 @p630)) % 0.46/0.67 (step @p205 :rule evaluate :args (@t140)) % 0.46/0.67 (step @p206 :rule arith_poly_norm :args (@t142)) % 0.46/0.67 (step @p207 :rule arith_poly_norm :args (@t144)) % 0.46/0.67 (step @p208 :rule nary_cong :premises (@p207 @p206) :args (@t145)) % 0.46/0.67 (step @p209 :rule trans :premises (@p208 @p205)) % 0.46/0.67 (step @p210 :rule arith_poly_norm :args (@t147)) % 0.46/0.67 (step @p211 :rule trans :premises (@p210 @p209)) % 0.46/0.67 (step @p634 :rule cong :premises (@p211 @p633) :args ((<= @t146 @t262))) % 0.46/0.67 (step @p635 :rule trans :premises (@p634 @p629)) % 0.46/0.67 (step @p636 :rule arith_poly_norm :args (@t263)) % 0.46/0.67 (step @p637 :rule arith_poly_norm_rel :premises (@p636) :args (@t265)) % 0.46/0.67 (step @p638 :rule symm :premises (@p637)) % 0.46/0.67 (step @p639 :rule eq_resolve :premises (@p868 @p638)) % 0.46/0.67 (step @p218 :rule arith_mult_neg :args (-1 @t137)) % 0.46/0.67 (step @p219 :rule evaluate :args (@t151)) % 0.46/0.67 (step @p220 :rule true_elim :premises (@p219)) % 0.46/0.67 (step @p640 :rule and_intro :premises (@p220 @p870)) % 0.46/0.67 (step @p641 :rule modus_ponens :premises (@p640 @p218)) % 0.46/0.67 (step @p642 :rule arith_sum_ub :premises (@p641 @p639)) % 0.46/0.67 (step @p643 false :rule eq_resolve :premises (@p642 @p635)) % 0.46/0.67 (step-pop @p871 :rule scope :premises (@p643)) % 0.46/0.67 (step @p644 :rule process_scope :premises (@p871) :args (false)) % 0.46/0.67 (step @p646 :rule eq_resolve :premises (@p644 @p197)) % 0.46/0.67 (step @p647 :rule eq_resolve :premises (@p646 @p196)) % 0.46/0.67 (step-pop @p872 :rule scope :premises (@p647)) % 0.46/0.67 (step @p648 :rule process_scope :premises (@p872) :args (@t152)) % 0.46/0.67 (step @p650 :rule modus_ponens :premises (@p868 @p648)) % 0.46/0.67 (step-pop @p873 :rule scope :premises (@p650)) % 0.46/0.67 (step @p651 :rule process_scope :premises (@p873) :args (@t152)) % 0.46/0.67 (step @p653 :rule implies_elim :premises (@p651)) % 0.46/0.67 (step @p654 :rule chain_m_resolution :premises (@p653 @p625) :args (@t152 @t112 (@list @t88))) % 0.46/0.67 (step @p655 :rule bool-double-not-elim :args (@t159)) % 0.46/0.67 (step @p656 :rule refl :args (@t89)) % 0.46/0.67 (step @p657 :rule nary_cong :premises (@p656 @p655 @p239 @p238 @p236 @p235) :args ((or @t89 (not @t160) @t156 @t155 @t154 @t153))) % 0.46/0.67 (assume-push @p874 @t133) % 0.46/0.67 (assume-push @p875 @t88) % 0.46/0.67 (assume-push @p876 @t127) % 0.46/0.67 (assume-push @p877 @t120) % 0.46/0.67 (assume-push @p878 @t160) % 0.46/0.67 (assume-push @p879 @t161) % 0.46/0.67 (assume-push @p880 @t164) % 0.46/0.67 (step @p253 :rule evaluate :args (@t165)) % 0.46/0.67 (step @p665 :rule evaluate :args ((+ 0/1 0/1 -1/2 -1/2 0/1 1/1))) % 0.46/0.67 (step @p666 :rule refl :args (1/1)) % 0.46/0.67 (step @p667 :rule evaluate :args (@t266)) % 0.46/0.67 (step @p496 :rule evaluate :args (@t241)) % 0.46/0.67 (step @p498 :rule evaluate :args (@t242)) % 0.46/0.67 (step @p668 :rule evaluate :args (@t267)) % 0.46/0.67 (step @p669 :rule evaluate :args (@t173)) % 0.46/0.67 (step @p500 :rule evaluate :args (@t243)) % 0.46/0.67 (step @p670 :rule cong :premises (@p500) :args (@t244)) % 0.46/0.67 (step @p671 :rule trans :premises (@p670 @p669)) % 0.46/0.67 (step @p672 :rule nary_cong :premises (@p671 @p668 @p498 @p496 @p667 @p666) :args (@t268)) % 0.46/0.67 (step @p673 :rule trans :premises (@p672 @p665)) % 0.46/0.67 (step @p265 :rule evaluate :args (@t173)) % 0.46/0.67 (step @p505 :rule arith_poly_norm :args (@t246)) % 0.46/0.67 (step @p206 :rule arith_poly_norm :args (@t142)) % 0.46/0.67 (step @p270 :rule refl :args (@t175)) % 0.46/0.67 (step @p268 :rule arith_poly_norm :args (@t177)) % 0.46/0.67 (step @p271 :rule refl :args (@t76)) % 0.46/0.67 (step @p267 :rule refl :args (@t85)) % 0.46/0.67 (step @p269 :rule refl :args (@t174)) % 0.46/0.67 (step @p272 :rule arith_poly_norm :args (@t179)) % 0.46/0.67 (step @p273 :rule arith_poly_norm :args (@t181)) % 0.46/0.67 (step @p506 :rule nary_cong :premises (@p273 @p272 @p269 @p267 @p271 @p268 @p270 @p206) :args (@t247)) % 0.46/0.67 (step @p507 :rule trans :premises (@p506 @p505)) % 0.46/0.67 (step @p508 :rule cong :premises (@p507) :args (@t248)) % 0.46/0.67 (step @p509 :rule trans :premises (@p508 @p265)) % 0.46/0.67 (step @p674 :rule arith_poly_norm :args ((= @t269 @t248))) % 0.46/0.67 (step @p675 :rule trans :premises (@p674 @p509)) % 0.46/0.67 (step @p676 :rule cong :premises (@p675 @p673) :args (@t270)) % 0.46/0.67 (step @p677 :rule trans :premises (@p676 @p253)) % 0.46/0.67 (step @p678 :rule cong :premises (@p677) :args ((not @t270))) % 0.46/0.67 (step @p679 :rule trans :premises (@p678 @p20)) % 0.46/0.67 (step @p680 :rule arith-elim-lt :args (@t269 @t268)) % 0.46/0.67 (step @p681 :rule trans :premises (@p680 @p679)) % 0.46/0.67 (step @p682 :rule evaluate :args (@t209)) % 0.46/0.67 (step @p287 :rule arith_poly_norm :args (@t201)) % 0.46/0.67 (step @p288 :rule arith_poly_norm_rel :premises (@p287) :args (@t202)) % 0.46/0.67 (step @p289 :rule symm :premises (@p288)) % 0.46/0.67 (step @p290 :rule eq_resolve :premises (@p191 @p289)) % 0.46/0.67 (step @p683 :rule cong :premises (@p290) :args (@t251)) % 0.46/0.67 (step @p684 :rule trans :premises (@p683 @p682)) % 0.46/0.67 (assume-push @p881 @t212) % 0.46/0.67 (assume-push @p882 @t264) % 0.46/0.67 (step @p687 :rule arith_mult_neg :args (-1/2 (= @t186 0/1))) % 0.46/0.67 (step @p688 :rule evaluate :args (@t173)) % 0.46/0.67 (step @p689 :rule cong :premises (@p882) :args (@t186)) % 0.46/0.67 (step @p690 :rule trans :premises (@p689 @p688)) % 0.46/0.67 (step @p691 :rule and_intro :premises (@p881 @p690)) % 0.46/0.67 (step @p692 :rule modus_ponens :premises (@p691 @p687)) % 0.46/0.67 (step-pop @p883 :rule scope :premises (@p692)) % 0.46/0.67 (step-pop @p884 :rule scope :premises (@p883)) % 0.46/0.67 (step @p693 :rule process_scope :premises (@p884) :args ((= @t250 @t266))) % 0.46/0.67 (step @p636 :rule arith_poly_norm :args (@t263)) % 0.46/0.67 (step @p637 :rule arith_poly_norm_rel :premises (@p636) :args (@t265)) % 0.46/0.67 (step @p638 :rule symm :premises (@p637)) % 0.46/0.67 (step @p696 :rule eq_resolve :premises (@p875 @p638)) % 0.46/0.67 (step @p346 :rule evaluate :args (@t212)) % 0.46/0.67 (step @p347 :rule true_elim :premises (@p346)) % 0.46/0.67 (step @p697 :rule and_intro :premises (@p347 @p696)) % 0.46/0.67 (step @p698 :rule modus_ponens :premises (@p697 @p693)) % 0.46/0.67 (assume-push @p885 @t212) % 0.46/0.67 (assume-push @p886 @t207) % 0.46/0.67 (step @p520 :rule arith_mult_neg :args (-1/2 @t208)) % 0.46/0.67 (step @p521 :rule evaluate :args (@t209)) % 0.46/0.67 (step @p522 :rule cong :premises (@p886) :args (@t190)) % 0.46/0.67 (step @p523 :rule trans :premises (@p522 @p521)) % 0.46/0.67 (step @p524 :rule and_intro :premises (@p885 @p523)) % 0.46/0.67 (step @p525 :rule modus_ponens :premises (@p524 @p520)) % 0.46/0.67 (step-pop @p887 :rule scope :premises (@p525)) % 0.46/0.67 (step-pop @p888 :rule scope :premises (@p887)) % 0.46/0.67 (step @p526 :rule process_scope :premises (@p888) :args (@t257)) % 0.46/0.67 (step @p325 :rule arith_poly_norm :args (@t210)) % 0.46/0.67 (step @p326 :rule arith_poly_norm_rel :premises (@p325) :args (@t211)) % 0.46/0.67 (step @p327 :rule symm :premises (@p326)) % 0.46/0.67 (step @p328 :rule eq_resolve :premises (@p175 @p327)) % 0.46/0.67 (step @p529 :rule and_intro :premises (@p347 @p328)) % 0.46/0.67 (step @p530 :rule modus_ponens :premises (@p529 @p526)) % 0.46/0.67 (assume-push @p889 @t203) % 0.46/0.67 (assume-push @p890 @t213) % 0.46/0.67 (step @p570 :rule arith_mult_pos :args (1/2 @t214)) % 0.46/0.67 (step @p571 :rule evaluate :args (@t166)) % 0.46/0.67 (step @p572 :rule cong :premises (@p890) :args (@t193)) % 0.46/0.67 (step @p573 :rule trans :premises (@p572 @p571)) % 0.46/0.67 (step @p574 :rule and_intro :premises (@p889 @p573)) % 0.46/0.67 (step @p575 :rule modus_ponens :premises (@p574 @p570)) % 0.46/0.67 (step-pop @p891 :rule scope :premises (@p575)) % 0.46/0.67 (step-pop @p892 :rule scope :premises (@p891)) % 0.46/0.67 (step @p576 :rule process_scope :premises (@p892) :args (@t260)) % 0.46/0.67 (step @p342 :rule arith_poly_norm :args (@t215)) % 0.46/0.67 (step @p343 :rule arith_poly_norm_rel :premises (@p342) :args (@t216)) % 0.46/0.67 (step @p344 :rule symm :premises (@p343)) % 0.46/0.67 (step @p345 :rule eq_resolve :premises (@p171 @p344)) % 0.46/0.67 (step @p310 :rule evaluate :args (@t203)) % 0.46/0.67 (step @p311 :rule true_elim :premises (@p310)) % 0.46/0.67 (step @p579 :rule and_intro :premises (@p311 @p345)) % 0.46/0.67 (step @p580 :rule modus_ponens :premises (@p579 @p576)) % 0.46/0.67 (assume-push @p893 @t203) % 0.46/0.67 (assume-push @p894 @t271) % 0.46/0.67 (step @p709 :rule arith_mult_pos :args (1/2 (< @t195 0/1))) % 0.46/0.67 (step @p710 :rule evaluate :args (@t173)) % 0.46/0.67 (step @p711 :rule refl :args (@t195)) % 0.46/0.67 (step @p712 :rule cong :premises (@p711 @p710) :args (@t272)) % 0.46/0.67 (step @p713 :rule arith_poly_norm :args ((= (* 1/1 (to_real @t220)) (* 1/1 (- @t195 @t173))))) % 0.46/0.67 (step @p714 :rule arith_poly_norm_rel :premises (@p713) :args ((= @t271 @t272))) % 0.46/0.67 (step @p715 :rule trans :premises (@p714 @p712)) % 0.46/0.67 (step @p716 :rule eq_resolve :premises (@p894 @p715)) % 0.46/0.67 (step @p717 :rule and_intro :premises (@p893 @p716)) % 0.46/0.67 (step @p718 :rule modus_ponens :premises (@p717 @p709)) % 0.46/0.67 (step-pop @p895 :rule scope :premises (@p718)) % 0.46/0.67 (step-pop @p896 :rule scope :premises (@p895)) % 0.46/0.67 (step @p719 :rule process_scope :premises (@p896) :args ((< @t252 @t267))) % 0.46/0.67 (step @p722 :rule arith-elim-lt :args (@t158 0)) % 0.46/0.67 (step @p723 :rule symm :premises (@p722)) % 0.46/0.67 (step @p724 :rule eq_resolve :premises (@p878 @p723)) % 0.46/0.67 (step @p725 :rule and_intro :premises (@p311 @p724)) % 0.46/0.67 (step @p726 :rule modus_ponens :premises (@p725 @p719)) % 0.46/0.67 (step @p727 :rule arith_mult_neg :args (-1 @t164)) % 0.46/0.67 (step @p382 :rule arith_poly_norm :args (@t226)) % 0.46/0.67 (step @p383 :rule arith_poly_norm_rel :premises (@p382) :args (@t227)) % 0.46/0.67 (step @p582 :rule symm :premises (@p383)) % 0.46/0.67 (step @p412 :rule cong :premises (@p148) :args (@t85)) % 0.46/0.67 (step @p583 :rule eq_resolve :premises (@p412 @p582)) % 0.46/0.67 (step @p219 :rule evaluate :args (@t151)) % 0.46/0.67 (step @p220 :rule true_elim :premises (@p219)) % 0.46/0.67 (step @p584 :rule and_intro :premises (@p220 @p583)) % 0.46/0.67 (step @p728 :rule modus_ponens :premises (@p584 @p727)) % 0.46/0.67 (step @p729 :rule cong :premises (@p728) :args (@t254)) % 0.46/0.67 (step @p730 :rule arith_sum_ub :premises (@p729 @p726 @p580 @p530 @p698 @p684)) % 0.46/0.67 (step @p731 false :rule eq_resolve :premises (@p730 @p681)) % 0.46/0.67 (step-pop @p897 :rule scope :premises (@p731)) % 0.46/0.67 (step @p732 :rule process_scope :premises (@p897) :args (false)) % 0.46/0.67 (step @p382 :rule arith_poly_norm :args (@t226)) % 0.46/0.67 (step @p383 :rule arith_poly_norm_rel :premises (@p382) :args (@t227)) % 0.46/0.67 (step @p582 :rule symm :premises (@p383)) % 0.46/0.67 (step @p412 :rule cong :premises (@p148) :args (@t85)) % 0.46/0.67 (step @p583 :rule eq_resolve :premises (@p412 @p582)) % 0.46/0.67 (step @p734 false :rule contra :premises (@p583 @p732)) % 0.46/0.67 (step-pop @p898 :rule scope :premises (@p734)) % 0.46/0.67 (step-pop @p899 :rule scope :premises (@p898)) % 0.46/0.67 (step-pop @p900 :rule scope :premises (@p899)) % 0.46/0.67 (step-pop @p901 :rule scope :premises (@p900)) % 0.46/0.67 (step-pop @p902 :rule scope :premises (@p901)) % 0.46/0.67 (step-pop @p903 :rule scope :premises (@p902)) % 0.46/0.67 (step @p735 :rule process_scope :premises (@p903) :args (false)) % 0.46/0.67 (assume-push @p904 @t88) % 0.46/0.67 (assume-push @p905 @t160) % 0.46/0.67 (assume-push @p906 @t110) % 0.46/0.67 (assume-push @p907 @t120) % 0.46/0.67 (assume-push @p908 @t127) % 0.46/0.67 (assume-push @p909 @t133) % 0.46/0.67 (step @p412 :rule cong :premises (@p148) :args (@t85)) % 0.46/0.67 (step @p748 :rule and_intro :premises (@p191 @p904 @p175 @p171 @p905 @p412)) % 0.46/0.67 (step-pop @p910 :rule scope :premises (@p748)) % 0.46/0.67 (step-pop @p911 :rule scope :premises (@p910)) % 0.46/0.67 (step-pop @p912 :rule scope :premises (@p911)) % 0.46/0.67 (step-pop @p913 :rule scope :premises (@p912)) % 0.46/0.67 (step-pop @p914 :rule scope :premises (@p913)) % 0.46/0.67 (step-pop @p915 :rule scope :premises (@p914)) % 0.46/0.67 (step @p749 :rule process_scope :premises (@p915) :args (@t273)) % 0.46/0.67 (step @p756 :rule implies_elim :premises (@p749)) % 0.46/0.67 (step @p757 :rule resolution :premises (@p756 @p735) :args (true @t273)) % 0.46/0.67 (step @p758 :rule not_and :premises (@p757)) % 0.46/0.67 (step @p759 :rule eq_resolve :premises (@p758 @p657)) % 0.46/0.67 (step @p760 :rule chain_m_resolution :premises (@p759 @p625 @p148 @p171 @p175 @p191) :args (@t159 (@list false false false false false) (@list @t88 @t110 @t120 @t127 @t133))) % 0.46/0.67 (step @p761 false :rule chain_m_resolution :premises (@p426 @p760 @p654 @p191 @p175 @p171 @p148 @p110 @p108) :args (false (@list false true false false false false true true) (@list @t159 @t137 @t133 @t127 @t120 @t110 @t79 @t81))) % 0.46/0.67 ) % 0.46/0.67 % SZS output end Proof % 0.46/0.67 % cvc5 exiting %------------------------------------------------------------------------------