0.07/0.12 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.07/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 120 THM 0.14/0.34 % Computer : n031.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 12:52:37 EDT 2025 0.14/0.34 % CPUTime : 0.20/0.49 %----Proving TF0_ARI 0.59/0.77 --- Run --finite-model-find --decision=internal at 18... 0.59/0.77 % SZS status Theorem 0.59/0.77 % SZS output start Proof 0.59/0.77 ( 0.59/0.77 (declare-const tptp.x Real) 0.59/0.77 (define @t1 () (* tptp.x tptp.x)) 0.59/0.77 (define @t2 () (- 1/1)) 0.59/0.77 (define @t3 () (* @t2 @t1)) 0.59/0.77 (define @t4 () (+ @t3 1/1)) 0.59/0.77 (define @t5 () (/ 1/1 @t4)) 0.59/0.77 (define @t6 () (* @t2 tptp.x)) 0.59/0.77 (define @t7 () (+ @t6 1/1)) 0.59/0.77 (define @t8 () (/ 1/1 @t7)) 0.59/0.77 (define @t9 () (not (> @t8 @t5))) 0.59/0.77 (define @t10 () (< tptp.x 1/1)) 0.59/0.77 (define @t11 () (> tptp.x 0/1)) 0.59/0.77 (define @t12 () (- tptp.x 1/1)) 0.59/0.77 (define @t13 () (>= tptp.x 1)) 0.59/0.77 (define @t14 () (>= tptp.x 1/1)) 0.59/0.77 (define @t15 () (= @t14 @t13)) 0.59/0.77 (define @t16 () (not @t14)) 0.59/0.77 (define @t17 () (= tptp.x 1/1)) 0.59/0.77 (define @t18 () (not @t17)) 0.59/0.77 (define @t19 () (not @t13)) 0.59/0.77 (define @t20 () (not @t19)) 0.59/0.77 (define @t21 () (not true)) 0.59/0.77 (define @t22 () (>= 0/1 0/1)) 0.59/0.77 (define @t23 () (* -1/1 1/1)) 0.59/0.77 (define @t24 () (+ @t23 1/1)) 0.59/0.77 (define @t25 () (* -1 tptp.x)) 0.59/0.77 (define @t26 () (* -1/1 tptp.x)) 0.59/0.77 (define @t27 () (= @t26 @t25)) 0.59/0.77 (define @t28 () (+ @t26 tptp.x)) 0.59/0.77 (define @t29 () (>= @t28 @t24)) 0.59/0.77 (define @t30 () (< -1/1 0/1)) 0.59/0.77 (define @t31 () (@list true)) 0.59/0.77 (define @t32 () (+ 1 @t25)) 0.59/0.77 (define @t33 () (/_total 1/1 @t32)) 0.59/0.77 (define @t34 () (@div_by_zero 1/1)) 0.59/0.77 (define @t35 () (ite @t17 @t34 @t33)) 0.59/0.77 (define @t36 () (@purify @t35)) 0.59/0.77 (define @t37 () (= @t36 @t33)) 0.59/0.77 (define @t38 () (= @t36 @t34)) 0.59/0.77 (define @t39 () (= @t36 @t35)) 0.59/0.77 (define @t40 () (= @t35 @t33)) 0.59/0.77 (define @t41 () (= @t35 @t34)) 0.59/0.77 (define @t42 () (@list @t17)) 0.59/0.77 (define @t43 () (>= @t25 0)) 0.59/0.77 (define @t44 () (>= 0/1 tptp.x)) 0.59/0.77 (define @t45 () (>= tptp.x 0)) 0.59/0.77 (define @t46 () (not @t45)) 0.59/0.77 (define @t47 () (not @t43)) 0.59/0.77 (define @t48 () (not @t47)) 0.59/0.77 (define @t49 () (= (* 1/1 (- tptp.x 0/1)) (* 1/1 (- tptp.x 0)))) 0.59/0.77 (define @t50 () (>= tptp.x 0/1)) 0.59/0.77 (define @t51 () (= @t50 @t45)) 0.59/0.77 (define @t52 () (< tptp.x 0/1)) 0.59/0.77 (define @t53 () (+ 0/1 0/1)) 0.59/0.77 (define @t54 () (* -1/1 0/1)) 0.59/0.77 (define @t55 () (+ 0/1 @t54)) 0.59/0.77 (define @t56 () (= (+ tptp.x @t25) 0/1)) 0.59/0.77 (define @t57 () (+ tptp.x @t26)) 0.59/0.77 (define @t58 () (>= @t57 @t55)) 0.59/0.77 (define @t59 () (not @t58)) 0.59/0.77 (define @t60 () (and @t46 @t47)) 0.59/0.77 (define @t61 () (@list @t43)) 0.59/0.77 (define @t62 () (>= @t25 1)) 0.59/0.77 (define @t63 () (ite @t45 @t19 (not @t62))) 0.59/0.77 (define @t64 () (@list true false)) 0.59/0.77 (define @t65 () (= tptp.x 0/1)) 0.59/0.77 (define @t66 () (not @t65)) 0.59/0.77 (define @t67 () (and @t65 @t47)) 0.59/0.77 (define @t68 () (not @t63)) 0.59/0.77 (define @t69 () (and @t63 @t66)) 0.59/0.77 (define @t70 () (not @t66)) 0.59/0.77 (define @t71 () (* tptp.x tptp.x)) 0.59/0.77 (define @t72 () (* -1 @t71)) 0.59/0.77 (define @t73 () (+ tptp.x @t72)) 0.59/0.77 (define @t74 () (* 1/1 (- @t73 0))) 0.59/0.77 (define @t75 () (>= @t73 0)) 0.59/0.77 (define @t76 () (- @t71)) 0.59/0.77 (define @t77 () (- tptp.x)) 0.59/0.77 (define @t78 () (<= @t77 @t76)) 0.59/0.77 (define @t79 () (+ tptp.x @t71)) 0.59/0.77 (define @t80 () (>= @t79 0)) 0.59/0.77 (define @t81 () (<= @t77 @t71)) 0.59/0.77 (define @t82 () (>= @t71 0)) 0.59/0.77 (define @t83 () (>= @t71 0/1)) 0.59/0.77 (define @t84 () (ite @t83 (> @t77 @t71) (> @t77 @t76))) 0.59/0.77 (define @t85 () (+ @t25 @t72)) 0.59/0.77 (define @t86 () (>= @t85 0)) 0.59/0.77 (define @t87 () (<= tptp.x @t76)) 0.59/0.77 (define @t88 () (+ @t25 @t71)) 0.59/0.77 (define @t89 () (* -1/1 (- @t88 0))) 0.59/0.77 (define @t90 () (>= @t88 0)) 0.59/0.77 (define @t91 () (>= @t71 tptp.x)) 0.59/0.77 (define @t92 () (ite @t83 (> tptp.x @t71) (> tptp.x @t76))) 0.59/0.77 (define @t93 () (ite @t50 @t92 @t84)) 0.59/0.77 (define @t94 () (>= @t25 -1)) 0.59/0.77 (define @t95 () (>= tptp.x -1)) 0.59/0.77 (define @t96 () (<= @t2 @t77)) 0.59/0.77 (define @t97 () (<= @t2 tptp.x)) 0.59/0.77 (define @t98 () (ite @t50 (> @t2 tptp.x) (> @t2 @t77))) 0.59/0.77 (define @t99 () (<= 1/1 @t77)) 0.59/0.77 (define @t100 () (ite @t50 (> 1/1 tptp.x) (> 1/1 @t77))) 0.59/0.77 (define @t101 () (>= 1/1 0/1)) 0.59/0.77 (define @t102 () (ite @t101 @t100 @t98)) 0.59/0.77 (define @t103 () (and @t102 @t66)) 0.59/0.77 (define @t104 () (abs @t71)) 0.59/0.77 (define @t105 () (abs tptp.x)) 0.59/0.77 (define @t106 () (+ (* -1 @t105) @t104)) 0.59/0.77 (define @t107 () (>= @t104 @t105)) 0.59/0.77 (define @t108 () (* 1/1 tptp.x)) 0.59/0.77 (define @t109 () (abs @t108)) 0.59/0.77 (define @t110 () (<= @t109 @t104)) 0.59/0.77 (define @t111 () (not @t75)) 0.59/0.77 (define @t112 () (not @t90)) 0.59/0.77 (define @t113 () (ite @t82 @t112 (not @t86))) 0.59/0.77 (define @t114 () (ite @t45 @t113 (ite @t82 (not @t80) @t111))) 0.59/0.77 (define @t115 () (@list false)) 0.59/0.77 (define @t116 () (@list false false)) 0.59/0.77 (define @t117 () (>= @t72 0)) 0.59/0.77 (define @t118 () (not @t117)) 0.59/0.77 (define @t119 () (>= 0/1 @t71)) 0.59/0.77 (define @t120 () (> @t71 0/1)) 0.59/0.77 (define @t121 () (< @t71 0/1)) 0.59/0.77 (define @t122 () (* -1/1 @t71)) 0.59/0.77 (define @t123 () (= @t122 @t72)) 0.59/0.77 (define @t124 () (+ @t71 @t122)) 0.59/0.77 (define @t125 () (>= @t124 @t55)) 0.59/0.77 (define @t126 () (not @t112)) 0.59/0.77 (define @t127 () (>= 0/1 @t73)) 0.59/0.77 (define @t128 () (not @t127)) 0.59/0.77 (define @t129 () (= (* -1/1 (- 0/1 @t73)) @t89)) 0.59/0.77 (define @t130 () (= @t127 @t90)) 0.59/0.77 (define @t131 () (not (<= @t73 0/1))) 0.59/0.77 (define @t132 () (> @t73 0/1)) 0.59/0.77 (define @t133 () (+ @t54 0/1)) 0.59/0.77 (define @t134 () (* 0 tptp.x)) 0.59/0.77 (define @t135 () (= @t134 0/1)) 0.59/0.77 (define @t136 () (* 0 @t71)) 0.59/0.77 (define @t137 () (+ @t136 @t134)) 0.59/0.77 (define @t138 () (* -1/1 @t73)) 0.59/0.77 (define @t139 () (+ @t138 @t73)) 0.59/0.77 (define @t140 () (>= @t139 @t133)) 0.59/0.77 (define @t141 () (= (* 1/1 (- @t73 0/1)) @t74)) 0.59/0.77 (define @t142 () (>= @t73 0/1)) 0.59/0.77 (define @t143 () (= @t142 @t75)) 0.59/0.77 (define @t144 () (= @t71 1/1)) 0.59/0.77 (define @t145 () (not @t144)) 0.59/0.77 (define @t146 () (not @t10)) 0.59/0.77 (define @t147 () (+ 1/1 -1/1 0/1)) 0.59/0.77 (define @t148 () (+ 1/1 @t23 @t54)) 0.59/0.77 (define @t149 () (= @t138 @t88)) 0.59/0.77 (define @t150 () (+ tptp.x @t122 @t138)) 0.59/0.77 (define @t151 () (>= @t150 @t148)) 0.59/0.77 (define @t152 () (and @t75 @t144 @t19)) 0.59/0.77 (define @t153 () (+ 1 @t72)) 0.59/0.77 (define @t154 () (/_total 1/1 @t153)) 0.59/0.77 (define @t155 () (ite @t144 @t34 @t154)) 0.59/0.77 (define @t156 () (@purify @t155)) 0.59/0.77 (define @t157 () (= @t156 @t154)) 0.59/0.77 (define @t158 () (= @t156 @t34)) 0.59/0.77 (define @t159 () (= @t156 @t155)) 0.59/0.77 (define @t160 () (= @t155 @t154)) 0.59/0.77 (define @t161 () (= @t155 @t34)) 0.59/0.77 (define @t162 () (@list @t144)) 0.59/0.77 (define @t163 () (* -1 @t36)) 0.59/0.77 (define @t164 () (+ @t156 @t163)) 0.59/0.77 (define @t165 () (= @t153 0/1)) 0.59/0.77 (define @t166 () (/ 1/1 @t153)) 0.59/0.77 (define @t167 () (= @t32 0/1)) 0.59/0.77 (define @t168 () (/ 1/1 @t32)) 0.59/0.77 (define @t169 () (* -1 @t168)) 0.59/0.77 (define @t170 () (+ @t169 @t166)) 0.59/0.77 (define @t171 () (>= @t170 0)) 0.59/0.77 (define @t172 () (<= @t8 @t5)) 0.59/0.77 (define @t173 () (@purify @t33)) 0.59/0.77 (define @t174 () (* -1 @t173)) 0.59/0.77 (define @t175 () (@purify @t154)) 0.59/0.77 (define @t176 () (+ @t175 @t174)) 0.59/0.77 (define @t177 () (>= @t176 0)) 0.59/0.77 (define @t178 () (= @t36 @t173)) 0.59/0.77 (define @t179 () (not @t178)) 0.59/0.77 (define @t180 () (= @t156 @t175)) 0.59/0.77 (define @t181 () (not @t180)) 0.59/0.77 (define @t182 () (>= @t164 0)) 0.59/0.77 (define @t183 () (not @t182)) 0.59/0.77 (define @t184 () (not @t177)) 0.59/0.77 (define @t185 () (* 1/1 (- @t176 0))) 0.59/0.77 (define @t186 () (* 1/1 (- @t176 0/1))) 0.59/0.77 (define @t187 () (= @t186 @t185)) 0.59/0.77 (define @t188 () (>= @t176 0/1)) 0.59/0.77 (define @t189 () (= @t188 @t177)) 0.59/0.77 (define @t190 () (< @t176 0/1)) 0.59/0.77 (define @t191 () (+ 0/1 @t54 0/1 @t54)) 0.59/0.77 (define @t192 () (* -1 @t175)) 0.59/0.77 (define @t193 () (* 0 @t156)) 0.59/0.77 (define @t194 () (* 0 @t173)) 0.59/0.77 (define @t195 () (+ @t194 @t192 @t175 @t36 @t163 @t193)) 0.59/0.77 (define @t196 () (+ @t156 @t192)) 0.59/0.77 (define @t197 () (+ @t36 @t174)) 0.59/0.77 (define @t198 () (+ @t176 (* -1/1 @t197) @t196 (* -1/1 @t164))) 0.59/0.77 (define @t199 () (>= @t198 @t191)) 0.59/0.77 (define @t200 () (>= @t164 0/1)) 0.59/0.77 (define @t201 () (= @t197 0/1)) 0.59/0.77 (define @t202 () (@list false false false)) 0.59/0.77 (define @t203 () (* tptp.x @t173)) 0.59/0.77 (define @t204 () (+ 1 @t203)) 0.59/0.77 (define @t205 () (= @t173 @t204)) 0.59/0.77 (define @t206 () (* -1 @t203)) 0.59/0.77 (define @t207 () (+ @t173 @t206)) 0.59/0.77 (define @t208 () (= @t207 1/1)) 0.59/0.77 (define @t209 () (* @t32 @t173)) 0.59/0.77 (define @t210 () (= @t209 1/1)) 0.59/0.77 (define @t211 () (not @t167)) 0.59/0.77 (define @t212 () (* tptp.x tptp.x @t175)) 0.59/0.77 (define @t213 () (+ 1 @t212)) 0.59/0.77 (define @t214 () (= @t175 @t213)) 0.59/0.77 (define @t215 () (* -1 @t212)) 0.59/0.77 (define @t216 () (+ @t175 @t215)) 0.59/0.77 (define @t217 () (= @t216 1/1)) 0.59/0.77 (define @t218 () (* @t153 @t175)) 0.59/0.77 (define @t219 () (= @t218 1/1)) 0.59/0.77 (define @t220 () (not @t165)) 0.59/0.77 (define @t221 () (>= @t212 0)) 0.59/0.77 (define @t222 () (>= @t203 0)) 0.59/0.77 (define @t223 () (not @t222)) 0.59/0.77 (define @t224 () (not @t205)) 0.59/0.77 (define @t225 () (not @t214)) 0.59/0.77 (define @t226 () (not @t221)) 0.59/0.77 (define @t227 () (not @t226)) 0.59/0.77 (define @t228 () (= (* 1/1 (- @t212 0/1)) (* 1/1 (- @t212 0)))) 0.59/0.77 (define @t229 () (>= @t212 0/1)) 0.59/0.77 (define @t230 () (= @t229 @t221)) 0.59/0.77 (define @t231 () (not @t229)) 0.59/0.77 (define @t232 () (< @t212 0/1)) 0.59/0.77 (define @t233 () (+ 0/1 @t23 @t54 1/1 @t54)) 0.59/0.77 (define @t234 () (= (+ @t206 @t173 @t203 @t215 @t212 @t174 0/1) 0/1)) 0.59/0.77 (define @t235 () (* 0 @t175)) 0.59/0.77 (define @t236 () (= @t235 0/1)) 0.59/0.77 (define @t237 () (+ @t206 @t173 @t203 @t215 @t212 @t174 @t235)) 0.59/0.77 (define @t238 () (* -1/1 @t176)) 0.59/0.77 (define @t239 () (* -1/1 @t203)) 0.59/0.77 (define @t240 () (* -1/1 @t207)) 0.59/0.77 (define @t241 () (+ @t212 @t240 @t239 @t216 @t238)) 0.59/0.77 (define @t242 () (>= @t241 @t233)) 0.59/0.77 (define @t243 () (>= @t203 0/1)) 0.59/0.77 (define @t244 () (= (* 1/1 (- @t203 0/1)) (* 1/1 (- @t203 0)))) 0.59/0.77 (define @t245 () (= @t243 @t222)) 0.59/0.77 (define @t246 () (and @t177 @t214 @t222 @t205 @t226)) 0.59/0.77 (define @t247 () (>= @t173 1)) 0.59/0.77 (define @t248 () (not @t247)) 0.59/0.77 (define @t249 () (not @t248)) 0.59/0.77 (define @t250 () (+ @t174 @t203)) 0.59/0.77 (define @t251 () (= (+ @t173 @t250 @t206) 0/1)) 0.59/0.77 (define @t252 () (= @t239 @t206)) 0.59/0.77 (define @t253 () (= @t240 @t250)) 0.59/0.77 (define @t254 () (+ @t173 @t240 @t239)) 0.59/0.77 (define @t255 () (>= @t254 @t148)) 0.59/0.77 (define @t256 () (= (* -1/1 (- @t173 1/1)) (* -1/1 (- @t173 1)))) 0.59/0.77 (define @t257 () (>= @t173 1/1)) 0.59/0.77 (define @t258 () (= @t257 @t247)) 0.59/0.77 (define @t259 () (not @t257)) 0.59/0.77 (define @t260 () (>= @t175 1)) 0.59/0.77 (define @t261 () (not @t260)) 0.59/0.77 (define @t262 () (+ 1/1 @t54 @t23)) 0.59/0.77 (define @t263 () (+ @t192 @t212)) 0.59/0.77 (define @t264 () (= (+ @t175 @t215 @t263) 0/1)) 0.59/0.77 (define @t265 () (* -1/1 @t216)) 0.59/0.77 (define @t266 () (= @t265 @t263)) 0.59/0.77 (define @t267 () (* -1/1 @t212)) 0.59/0.77 (define @t268 () (= @t267 @t215)) 0.59/0.77 (define @t269 () (+ @t175 @t267 @t265)) 0.59/0.77 (define @t270 () (>= @t269 @t262)) 0.59/0.77 (define @t271 () (= (* -1/1 (- @t175 1/1)) (* -1/1 (- @t175 1)))) 0.59/0.77 (define @t272 () (>= @t175 1/1)) 0.59/0.77 (define @t273 () (= @t272 @t260)) 0.59/0.77 (define @t274 () (= (* 1/1 (- @t173 0/1)) (* 1/1 (- @t173 0)))) 0.59/0.77 (define @t275 () (>= @t173 0)) 0.59/0.77 (define @t276 () (>= @t173 0/1)) 0.59/0.77 (define @t277 () (= @t276 @t275)) 0.59/0.77 (define @t278 () (not @t276)) 0.59/0.77 (define @t279 () (< @t173 0/1)) 0.59/0.77 (define @t280 () (>= 0/1 -1/1)) 0.59/0.77 (define @t281 () (+ 0/1 -1/1)) 0.59/0.77 (define @t282 () (+ 0/1 @t23)) 0.59/0.77 (define @t283 () (* -1/1 @t173)) 0.59/0.77 (define @t284 () (+ @t173 @t283)) 0.59/0.77 (define @t285 () (>= @t284 @t282)) 0.59/0.77 (define @t286 () (= (* -1/1 (- 0/1 @t175)) (* -1/1 (- @t192 0)))) 0.59/0.77 (define @t287 () (>= @t192 0)) 0.59/0.77 (define @t288 () (>= 0/1 @t175)) 0.59/0.77 (define @t289 () (= @t288 @t287)) 0.59/0.77 (define @t290 () (<= @t175 0/1)) 0.59/0.77 (define @t291 () (not @t290)) 0.59/0.77 (define @t292 () (not @t288)) 0.59/0.77 (define @t293 () (<= 0/1 -1/1)) 0.59/0.77 (define @t294 () (= (+ @t175 @t192) 0/1)) 0.59/0.77 (define @t295 () (* -1/1 @t175)) 0.59/0.77 (define @t296 () (= @t295 @t192)) 0.59/0.77 (define @t297 () (+ @t175 @t295)) 0.59/0.77 (define @t298 () (<= @t297 @t282)) 0.59/0.77 (define @t299 () (not @t287)) 0.59/0.77 (define @t300 () (= (* 1/1 (- @t175 0/1)) (* 1/1 (- @t175 0)))) 0.59/0.77 (define @t301 () (>= @t175 0)) 0.59/0.77 (define @t302 () (>= @t175 0/1)) 0.59/0.77 (define @t303 () (= @t302 @t301)) 0.59/0.77 (define @t304 () (not @t302)) 0.59/0.77 (define @t305 () (< @t175 0/1)) 0.59/0.77 (define @t306 () (>= @t297 @t282)) 0.59/0.77 (define @t307 () (= @t175 0/1)) 0.59/0.77 (define @t308 () (not @t307)) 0.59/0.77 (define @t309 () (+ @t192 @t173)) 0.59/0.77 (define @t310 () (>= @t309 0)) 0.59/0.77 (define @t311 () (- @t175 @t173)) 0.59/0.77 (define @t312 () (= @t186 (* 1/1 @t311))) 0.59/0.77 (define @t313 () (= @t175 @t173)) 0.59/0.77 (define @t314 () (= (= @t176 0/1) @t313)) 0.59/0.77 (define @t315 () (* -1/1 (- @t309 0))) 0.59/0.77 (define @t316 () (= (* -1/1 (- 0/1 @t176)) @t315)) 0.59/0.77 (define @t317 () (= (>= 0/1 @t176) @t310)) 0.59/0.77 (define @t318 () (and @t310 @t177)) 0.59/0.77 (define @t319 () (not @t310)) 0.59/0.77 (define @t320 () (= @t173 0/1)) 0.59/0.77 (define @t321 () (not @t320)) 0.59/0.77 (define @t322 () (>= @t297 @t55)) 0.59/0.77 (define @t323 () (> @t175 0/1)) 0.59/0.77 (define @t324 () (and @t299 @t310 @t177)) 0.59/0.77 (define @t325 () (+ @t203 @t215)) 0.59/0.77 (define @t326 () (>= @t325 0)) 0.59/0.77 (define @t327 () (not @t326)) 0.59/0.77 (define @t328 () (+ 0/1 0/1 @t23 1/1)) 0.59/0.77 (define @t329 () (* 0 @t212)) 0.59/0.77 (define @t330 () (= @t329 0/1)) 0.59/0.77 (define @t331 () (+ @t174 @t206 @t203 @t329 @t173 @t235)) 0.59/0.77 (define @t332 () (+ @t325 @t176 @t265 @t207)) 0.59/0.77 (define @t333 () (>= @t332 @t328)) 0.59/0.77 (define @t334 () (* 1/1 (- @t325 0))) 0.59/0.77 (define @t335 () (>= @t325 0/1)) 0.59/0.77 (define @t336 () (= @t175 @t174)) 0.59/0.77 (define @t337 () (or @t313 @t336)) 0.59/0.77 (define @t338 () (not @t337)) 0.59/0.77 (define @t339 () (and @t337 @t63 @t321 @t66)) 0.59/0.77 (define @t340 () (- @t212)) 0.59/0.77 (define @t341 () (- @t203)) 0.59/0.77 (define @t342 () (<= @t341 @t340)) 0.59/0.77 (define @t343 () (+ @t203 @t212)) 0.59/0.77 (define @t344 () (>= @t343 0)) 0.59/0.77 (define @t345 () (<= @t341 @t212)) 0.59/0.77 (define @t346 () (ite @t229 (> @t341 @t212) (> @t341 @t340))) 0.59/0.77 (define @t347 () (+ @t206 @t215)) 0.59/0.77 (define @t348 () (>= @t347 0)) 0.59/0.77 (define @t349 () (<= @t203 @t340)) 0.59/0.77 (define @t350 () (+ @t206 @t212)) 0.59/0.77 (define @t351 () (* -1/1 (- @t350 0))) 0.59/0.77 (define @t352 () (>= @t350 0)) 0.59/0.77 (define @t353 () (>= @t212 @t203)) 0.59/0.77 (define @t354 () (ite @t229 (> @t203 @t212) (> @t203 @t340))) 0.59/0.77 (define @t355 () (ite @t243 @t354 @t346)) 0.59/0.77 (define @t356 () (* 1/1 (- @t173 @t192))) 0.59/0.77 (define @t357 () (- @t175)) 0.59/0.77 (define @t358 () (= @t173 @t357)) 0.59/0.77 (define @t359 () (- @t173 @t175)) 0.59/0.77 (define @t360 () (= @t173 @t175)) 0.59/0.77 (define @t361 () (or @t360 @t358)) 0.59/0.77 (define @t362 () (and @t361 @t102 @t321 @t66)) 0.59/0.77 (define @t363 () (abs @t203)) 0.59/0.77 (define @t364 () (abs @t212)) 0.59/0.77 (define @t365 () (+ @t364 (* -1 @t363))) 0.59/0.77 (define @t366 () (>= @t364 @t363)) 0.59/0.77 (define @t367 () (* tptp.x @t175 tptp.x)) 0.59/0.77 (define @t368 () (abs @t367)) 0.59/0.77 (define @t369 () (* 1/1 @t173 tptp.x)) 0.59/0.77 (define @t370 () (abs @t369)) 0.59/0.77 (define @t371 () (<= @t370 @t368)) 0.59/0.77 (define @t372 () (ite @t221 (not @t344) @t327)) 0.59/0.77 (define @t373 () (not @t352)) 0.59/0.77 (define @t374 () (ite @t221 @t373 (not @t348))) 0.59/0.77 (define @t375 () (ite @t222 @t374 @t372)) 0.59/0.77 (define @t376 () (+ @t54 @t54 1/1 @t23)) 0.59/0.77 (define @t377 () (+ @t173 @t203 @t206 @t329 @t174 @t235)) 0.59/0.77 (define @t378 () (+ (* -1/1 @t325) @t238 @t216 @t240)) 0.59/0.77 (define @t379 () (>= @t378 @t376)) 0.59/0.77 (define @t380 () (>= 0/1 @t325)) 0.59/0.77 (define @t381 () (not @t375)) 0.59/0.77 (define @t382 () (not @t223)) 0.59/0.77 (define @t383 () (+ @t54 1/1 0/1 @t23 0/1)) 0.59/0.77 (define @t384 () (+ @t215 @t174 @t206 @t203 @t212 @t173 @t235)) 0.59/0.77 (define @t385 () (+ @t267 @t207 @t203 @t265 @t176)) 0.59/0.77 (define @t386 () (>= @t385 @t383)) 0.59/0.77 (define @t387 () (not @t243)) 0.59/0.77 (define @t388 () (and @t310 @t214 @t223 @t205 @t221)) 0.59/0.77 (define @t389 () (@list @t221)) 0.59/0.77 (define @t390 () (@purify @t153)) 0.59/0.77 (define @t391 () (= @t390 0/1)) 0.59/0.77 (define @t392 () (not @t391)) 0.59/0.77 (define @t393 () (= @t390 @t153)) 0.59/0.77 (define @t394 () (not @t393)) 0.59/0.77 (define @t395 () (+ 0/1 1/1 -1/1 0/1)) 0.59/0.77 (define @t396 () (+ 0/1 1/1 @t23 @t54)) 0.59/0.77 (define @t397 () (* -1 @t390)) 0.59/0.77 (define @t398 () (+ @t397 @t72)) 0.59/0.77 (define @t399 () (= (+ @t390 tptp.x @t398 @t88) 0/1)) 0.59/0.77 (define @t400 () (+ @t390 @t71)) 0.59/0.77 (define @t401 () (* -1/1 @t400)) 0.59/0.77 (define @t402 () (= @t401 @t398)) 0.59/0.77 (define @t403 () (+ @t390 tptp.x @t401 @t138)) 0.59/0.77 (define @t404 () (>= @t403 @t396)) 0.59/0.77 (define @t405 () (not @t404)) 0.59/0.77 (define @t406 () (= @t400 1/1)) 0.59/0.77 (define @t407 () (= (* -1/1 (- @t400 1/1)) (* -1/1 (- @t390 @t153)))) 0.59/0.77 (define @t408 () (= @t406 @t393)) 0.59/0.77 (define @t409 () (and @t75 @t393 @t19 @t391)) 0.59/0.77 (define @t410 () (@list true false false)) 0.59/0.77 (define @t411 () (@list @t13 @t75 @t393)) 0.59/0.77 (define @t412 () (* @t175 @t153)) 0.59/0.77 (define @t413 () (= @t412 1/1)) 0.59/0.77 (define @t414 () (* @t175 @t390)) 0.59/0.77 (define @t415 () (= @t414 1/1)) 0.59/0.77 (define @t416 () (>= @t414 0)) 0.59/0.77 (define @t417 () (not @t415)) 0.59/0.77 (define @t418 () (not @t416)) 0.59/0.77 (define @t419 () (= (* 1/1 (- @t414 0/1)) (* 1/1 (- @t414 0)))) 0.59/0.77 (define @t420 () (>= @t414 0/1)) 0.59/0.77 (define @t421 () (= @t420 @t416)) 0.59/0.77 (define @t422 () (< @t414 0/1)) 0.59/0.77 (define @t423 () (* -1 @t414)) 0.59/0.77 (define @t424 () (* -1/1 @t414)) 0.59/0.77 (define @t425 () (+ @t414 @t424)) 0.59/0.77 (define @t426 () (>= @t425 @t282)) 0.59/0.77 (define @t427 () (and @t418 @t415)) 0.59/0.77 (define @t428 () (* @t173 @t32)) 0.59/0.77 (define @t429 () (= @t428 1/1)) 0.59/0.77 (define @t430 () (@purify @t32)) 0.59/0.77 (define @t431 () (* @t173 @t430)) 0.59/0.77 (define @t432 () (= @t431 1/1)) 0.59/0.77 (define @t433 () (>= @t431 0)) 0.59/0.77 (define @t434 () (not @t432)) 0.59/0.77 (define @t435 () (not @t433)) 0.59/0.77 (define @t436 () (= (* 1/1 (- @t431 0/1)) (* 1/1 (- @t431 0)))) 0.59/0.77 (define @t437 () (>= @t431 0/1)) 0.59/0.77 (define @t438 () (= @t437 @t433)) 0.59/0.77 (define @t439 () (not @t437)) 0.59/0.77 (define @t440 () (< @t431 0/1)) 0.59/0.77 (define @t441 () (* -1 @t431)) 0.59/0.77 (define @t442 () (* -1/1 @t431)) 0.59/0.77 (define @t443 () (= @t442 @t441)) 0.59/0.77 (define @t444 () (+ @t431 @t442)) 0.59/0.77 (define @t445 () (>= @t444 @t282)) 0.59/0.77 (define @t446 () (and @t435 @t432)) 0.59/0.77 (define @t447 () (+ @t423 @t431)) 0.59/0.77 (define @t448 () (>= @t447 0)) 0.59/0.77 (define @t449 () (not @t448)) 0.59/0.77 (define @t450 () (+ 0/1 -1/1 1/1)) 0.59/0.77 (define @t451 () (+ @t54 @t23 1/1)) 0.59/0.77 (define @t452 () (+ @t414 @t441)) 0.59/0.77 (define @t453 () (* -1/1 @t452)) 0.59/0.77 (define @t454 () (+ @t453 @t442 @t414)) 0.59/0.77 (define @t455 () (>= @t454 @t451)) 0.59/0.77 (define @t456 () (* 1/1 (- @t447 0))) 0.59/0.77 (define @t457 () (>= 0/1 @t452)) 0.59/0.77 (define @t458 () (+ @t423 @t441)) 0.59/0.77 (define @t459 () (>= @t458 0)) 0.59/0.77 (define @t460 () (ite @t433 @t449 (not @t459))) 0.59/0.77 (define @t461 () (>= @t452 0)) 0.59/0.77 (define @t462 () (+ @t414 @t431)) 0.59/0.77 (define @t463 () (>= @t462 0)) 0.59/0.77 (define @t464 () (ite @t416 @t460 (ite @t433 (not @t463) (not @t461)))) 0.59/0.77 (define @t465 () (- @t431)) 0.59/0.77 (define @t466 () (- @t414)) 0.59/0.77 (define @t467 () (<= @t466 @t465)) 0.59/0.77 (define @t468 () (<= @t466 @t431)) 0.59/0.77 (define @t469 () (ite @t437 (> @t466 @t431) (> @t466 @t465))) 0.59/0.77 (define @t470 () (<= @t414 @t465)) 0.59/0.77 (define @t471 () (>= @t431 @t414)) 0.59/0.77 (define @t472 () (ite @t437 (> @t414 @t431) (> @t414 @t465))) 0.59/0.77 (define @t473 () (ite @t420 @t472 @t469)) 0.59/0.77 (define @t474 () (* -1 @t430)) 0.59/0.77 (define @t475 () (+ @t474 @t390)) 0.59/0.77 (define @t476 () (>= @t475 0)) 0.59/0.77 (define @t477 () (- @t430)) 0.59/0.77 (define @t478 () (- @t390)) 0.59/0.77 (define @t479 () (<= @t478 @t477)) 0.59/0.77 (define @t480 () (+ @t430 @t390)) 0.59/0.77 (define @t481 () (>= @t480 0)) 0.59/0.77 (define @t482 () (<= @t478 @t430)) 0.59/0.77 (define @t483 () (>= @t430 0)) 0.59/0.77 (define @t484 () (>= @t430 0/1)) 0.59/0.77 (define @t485 () (ite @t484 (> @t478 @t430) (> @t478 @t477))) 0.59/0.77 (define @t486 () (+ @t474 @t397)) 0.59/0.77 (define @t487 () (>= @t486 0)) 0.59/0.77 (define @t488 () (<= @t390 @t477)) 0.59/0.77 (define @t489 () (+ @t430 @t397)) 0.59/0.77 (define @t490 () (* 1/1 (- @t489 0))) 0.59/0.77 (define @t491 () (>= @t489 0)) 0.59/0.77 (define @t492 () (>= @t430 @t390)) 0.59/0.77 (define @t493 () (ite @t484 (> @t390 @t430) (> @t390 @t477))) 0.59/0.77 (define @t494 () (>= @t390 0)) 0.59/0.77 (define @t495 () (>= @t390 0/1)) 0.59/0.77 (define @t496 () (ite @t495 @t493 @t485)) 0.59/0.77 (define @t497 () (- @t173)) 0.59/0.77 (define @t498 () (<= @t357 @t497)) 0.59/0.77 (define @t499 () (+ @t175 @t173)) 0.59/0.77 (define @t500 () (>= @t499 0)) 0.59/0.77 (define @t501 () (<= @t357 @t173)) 0.59/0.77 (define @t502 () (ite @t276 (> @t357 @t173) (> @t357 @t497))) 0.59/0.77 (define @t503 () (+ @t192 @t174)) 0.59/0.77 (define @t504 () (* -1/1 (- @t503 0))) 0.59/0.77 (define @t505 () (>= @t503 0)) 0.59/0.77 (define @t506 () (<= @t175 @t497)) 0.59/0.77 (define @t507 () (>= @t173 @t175)) 0.59/0.77 (define @t508 () (ite @t276 (> @t175 @t173) (> @t175 @t497))) 0.59/0.77 (define @t509 () (ite @t302 @t508 @t502)) 0.59/0.77 (define @t510 () (and @t509 @t496 @t308 @t392)) 0.59/0.77 (define @t511 () (not @t491)) 0.59/0.77 (define @t512 () (ite @t483 @t511 (not @t487))) 0.59/0.77 (define @t513 () (ite @t494 @t512 (ite @t483 (not @t481) (not @t476)))) 0.59/0.77 (define @t514 () (not @t505)) 0.59/0.77 (define @t515 () (ite @t275 @t319 @t514)) 0.59/0.77 (define @t516 () (ite @t301 @t515 (ite @t275 (not @t500) @t184))) 0.59/0.77 (define @t517 () (and @t516 @t513 @t308 @t392)) 0.59/0.77 (define @t518 () (+ 1 @t474)) 0.59/0.77 (define @t519 () (* -1/1 (- tptp.x @t518))) 0.59/0.77 (define @t520 () (= tptp.x @t518)) 0.59/0.77 (define @t521 () (not @t520)) 0.59/0.77 (define @t522 () (not @t483)) 0.59/0.77 (define @t523 () (+ 1/1 @t23 0/1)) 0.59/0.77 (define @t524 () (+ @t25 @t474)) 0.59/0.77 (define @t525 () (+ tptp.x @t430)) 0.59/0.77 (define @t526 () (* -1/1 @t525)) 0.59/0.77 (define @t527 () (= @t526 @t524)) 0.59/0.77 (define @t528 () (+ tptp.x @t526 @t430)) 0.59/0.77 (define @t529 () (>= @t528 @t523)) 0.59/0.77 (define @t530 () (= @t525 1/1)) 0.59/0.77 (define @t531 () (= (* -1/1 (- @t525 1/1)) @t519)) 0.59/0.77 (define @t532 () (= @t530 @t520)) 0.59/0.77 (define @t533 () (and @t522 @t520 @t19)) 0.59/0.77 (define @t534 () (@list @t13 @t520)) 0.59/0.77 (define @t535 () (+ @t54 @t23 1/1 @t54)) 0.59/0.77 (define @t536 () (* 0 @t430)) 0.59/0.77 (define @t537 () (+ @t390 @t397 @t536 @t71 @t72 @t134)) 0.59/0.77 (define @t538 () (+ (* -1/1 @t489) @t401 @t525 @t138)) 0.59/0.77 (define @t539 () (>= @t538 @t535)) 0.59/0.77 (define @t540 () (>= @t489 0/1)) 0.59/0.77 (define @t541 () (not @t494)) 0.59/0.77 (define @t542 () (< @t390 0/1)) 0.59/0.77 (define @t543 () (and @t75 @t393 @t19 @t541)) 0.59/0.77 (define @t544 () (not @t513)) 0.59/0.77 (define @t545 () (not @t516)) 0.59/0.77 (define @t546 () (not @t275)) 0.59/0.77 (define @t547 () (not @t319)) 0.59/0.77 (define @t548 () (+ @t23 0/1 1/1)) 0.59/0.77 (define @t549 () (+ @t174 @t206 @t203 @t173)) 0.59/0.77 (define @t550 () (+ @t283 @t203 @t207)) 0.59/0.77 (define @t551 () (>= @t550 @t548)) 0.59/0.77 (define @t552 () (@list false true)) 0.59/0.77 (define @t553 () (>= @t474 0)) 0.59/0.77 (define @t554 () (>= 0/1 @t430)) 0.59/0.77 (define @t555 () (<= @t430 0/1)) 0.59/0.77 (define @t556 () (and @t279 (> @t430 0/1))) 0.59/0.77 (define @t557 () (not @t553)) 0.59/0.77 (define @t558 () (and @t546 @t557)) 0.59/0.77 (define @t559 () (+ 0/1 @t23 1/1)) 0.59/0.77 (define @t560 () (+ @t430 @t526 tptp.x)) 0.59/0.77 (define @t561 () (>= @t560 @t559)) 0.59/0.77 (define @t562 () (@list true true)) 0.59/0.77 (define @t563 () (>= @t174 1)) 0.59/0.77 (define @t564 () (ite @t275 @t248 (not @t563))) 0.59/0.77 (define @t565 () (and @t63 @t564)) 0.59/0.77 (define @t566 () (>= @t206 1)) 0.59/0.77 (define @t567 () (not @t566)) 0.59/0.77 (define @t568 () (>= @t203 1)) 0.59/0.77 (define @t569 () (ite @t222 (not @t568) @t567)) 0.59/0.77 (define @t570 () (>= @t206 -1)) 0.59/0.77 (define @t571 () (>= @t203 -1)) 0.59/0.77 (define @t572 () (<= @t2 @t341)) 0.59/0.77 (define @t573 () (<= @t2 @t203)) 0.59/0.77 (define @t574 () (ite @t243 (> @t2 @t203) (> @t2 @t341))) 0.59/0.77 (define @t575 () (* -1/1 (- @t206 1))) 0.59/0.77 (define @t576 () (<= 1/1 @t341)) 0.59/0.77 (define @t577 () (>= @t203 1/1)) 0.59/0.77 (define @t578 () (ite @t243 (> 1/1 @t203) (> 1/1 @t341))) 0.59/0.77 (define @t579 () (ite @t101 @t578 @t574)) 0.59/0.77 (define @t580 () (>= @t174 -1)) 0.59/0.77 (define @t581 () (>= @t173 -1)) 0.59/0.77 (define @t582 () (<= @t2 @t497)) 0.59/0.77 (define @t583 () (<= @t2 @t173)) 0.59/0.77 (define @t584 () (ite @t276 (> @t2 @t173) (> @t2 @t497))) 0.59/0.77 (define @t585 () (<= 1/1 @t497)) 0.59/0.77 (define @t586 () (ite @t276 (> 1/1 @t173) (> 1/1 @t497))) 0.59/0.77 (define @t587 () (ite @t101 @t586 @t584)) 0.59/0.77 (define @t588 () (and @t102 @t587)) 0.59/0.77 (define @t589 () (abs 1/1)) 0.59/0.77 (define @t590 () (<= @t589 @t363)) 0.59/0.77 (define @t591 () (* 1/1 1/1)) 0.59/0.77 (define @t592 () (abs @t591)) 0.59/0.77 (define @t593 () (<= @t592 @t363)) 0.59/0.77 (define @t594 () (>= @t215 1)) 0.59/0.77 (define @t595 () (not @t594)) 0.59/0.77 (define @t596 () (not @t567)) 0.59/0.77 (define @t597 () (* -1/1 -1/1)) 0.59/0.77 (define @t598 () (+ -1/1 @t54 @t23 @t597 1/1)) 0.59/0.77 (define @t599 () (+ @t212 @t238 @t240 @t239 @t216)) 0.59/0.77 (define @t600 () (>= @t599 @t598)) 0.59/0.77 (define @t601 () (> @t203 -1/1)) 0.59/0.77 (define @t602 () (= (* -1/1 (- -1/1 @t203)) @t575)) 0.59/0.77 (define @t603 () (>= -1/1 @t203)) 0.59/0.77 (define @t604 () (= @t603 @t566)) 0.59/0.77 (define @t605 () (not (<= @t203 -1/1))) 0.59/0.77 (define @t606 () (not @t603)) 0.59/0.77 (define @t607 () (= (* -1/1 (- -1/1 @t212)) (* -1/1 (- @t215 1)))) 0.59/0.77 (define @t608 () (>= -1/1 @t212)) 0.59/0.77 (define @t609 () (= @t608 @t594)) 0.59/0.77 (define @t610 () (not @t595)) 0.59/0.77 (define @t611 () (+ 0/1 @t597 @t23)) 0.59/0.77 (define @t612 () (>= @t269 @t611)) 0.59/0.77 (define @t613 () (> @t212 -1/1)) 0.59/0.77 (define @t614 () (not (<= @t212 -1/1))) 0.59/0.77 (define @t615 () (not @t608)) 0.59/0.77 (define @t616 () (+ @t295 @t175)) 0.59/0.77 (define @t617 () (>= @t616 @t133)) 0.59/0.77 (define @t618 () (@list @t287)) 0.59/0.77 (define @t619 () (>= @t174 0)) 0.59/0.77 (define @t620 () (not @t619)) 0.59/0.77 (define @t621 () (+ 0/1 @t23 @t597)) 0.59/0.77 (define @t622 () (>= @t254 @t621)) 0.59/0.77 (define @t623 () (= (* -1/1 (- 0/1 @t173)) (* -1/1 (- @t174 0)))) 0.59/0.77 (define @t624 () (>= 0/1 @t173)) 0.59/0.77 (define @t625 () (= @t624 @t619)) 0.59/0.77 (define @t626 () (+ 0/1 @t597 @t23 @t54)) 0.59/0.77 (define @t627 () (+ @t215 @t174 @t212 @t173 @t235)) 0.59/0.77 (define @t628 () (+ @t499 @t267 @t265 @t283)) 0.59/0.77 (define @t629 () (>= @t628 @t626)) 0.59/0.77 (define @t630 () (= @t212 0/1)) 0.59/0.77 (define @t631 () (not @t630)) 0.59/0.77 (define @t632 () (+ @t267 @t212)) 0.59/0.77 (define @t633 () (>= @t632 @t133)) 0.59/0.77 (define @t634 () (= (* tptp.x tptp.x 0/1) 0/1)) 0.59/0.77 (assume @p1 @t9) 0.59/0.77 (assume @p2 @t10) 0.59/0.77 (assume @p3 @t11) 0.59/0.77 (assume @p4 true) 0.59/0.77 (step @p5 :rule arith_poly_norm :args ((= (* -1/1 @t12) (* -1/1 (- tptp.x 1))))) 0.59/0.77 (step @p6 :rule arith_poly_norm_rel :premises (@p5) :args (@t15)) 0.59/0.77 (step @p7 :rule cong :premises (@p6) :args (@t16)) 0.59/0.77 (step @p8 :rule arith-elim-lt :args (tptp.x 1/1)) 0.59/0.77 (step @p9 :rule trans :premises (@p8 @p7)) 0.59/0.77 (step @p10 :rule eq_resolve :premises (@p2 @p9)) 0.59/0.77 (step @p11 :rule refl :args (@t18)) 0.59/0.77 (step @p12 :rule bool-double-not-elim :args (@t13)) 0.59/0.77 (step @p13 :rule nary_cong :premises (@p12 @p11) :args ((or @t20 @t18))) 0.59/0.77 (assume-push @p2541 @t19) 0.59/0.77 (assume-push @p2542 @t17) 0.59/0.77 (step @p16 :rule evaluate :args (@t21)) 0.59/0.77 (step @p17 :rule evaluate :args (@t22)) 0.59/0.77 (step @p18 :rule evaluate :args ((+ -1/1 1/1))) 0.59/0.77 (step @p19 :rule refl :args (1/1)) 0.59/0.77 (step @p20 :rule evaluate :args (@t23)) 0.59/0.77 (step @p21 :rule nary_cong :premises (@p20 @p19) :args (@t24)) 0.59/0.77 (step @p22 :rule trans :premises (@p21 @p18)) 0.59/0.77 (step @p23 :rule arith_poly_norm :args ((= (+ @t25 tptp.x) 0/1))) 0.59/0.77 (step @p24 :rule refl :args (tptp.x)) 0.59/0.77 (step @p25 :rule arith_poly_norm :args (@t27)) 0.59/0.77 (step @p26 :rule nary_cong :premises (@p25 @p24) :args (@t28)) 0.59/0.77 (step @p27 :rule trans :premises (@p26 @p23)) 0.59/0.77 (step @p28 :rule cong :premises (@p27 @p22) :args (@t29)) 0.59/0.77 (step @p29 :rule trans :premises (@p28 @p17)) 0.59/0.77 (step @p30 :rule cong :premises (@p29) :args ((not @t29))) 0.59/0.77 (step @p31 :rule trans :premises (@p30 @p16)) 0.59/0.77 (step @p32 :rule arith-elim-lt :args (@t28 @t24)) 0.59/0.77 (step @p33 :rule trans :premises (@p32 @p31)) 0.59/0.77 (step @p34 :rule arith_mult_neg :args (-1/1 @t17)) 0.59/0.77 (step @p35 :rule evaluate :args (@t30)) 0.59/0.77 (step @p36 :rule true_elim :premises (@p35)) 0.59/0.77 (step @p37 :rule and_intro :premises (@p36 @p2542)) 0.59/0.77 (step @p38 :rule modus_ponens :premises (@p37 @p34)) 0.59/0.77 (step @p39 :rule arith_sum_ub :premises (@p38 @p2)) 0.59/0.77 (step @p40 false :rule eq_resolve :premises (@p39 @p33)) 0.59/0.77 (step-pop @p2542 :rule scope :premises (@p40)) 0.59/0.77 (step-pop @p2543 :rule scope :premises (@p2542)) 0.59/0.77 (step @p41 :rule process_scope :premises (@p2543) :args (false)) 0.59/0.77 (step @p44 :rule not_and :premises (@p41)) 0.59/0.77 (step @p45 :rule eq_resolve :premises (@p44 @p13)) 0.59/0.77 (step @p46 :rule chain_resolution :premises (@p45 @p10) :args (@t31 (@list @t13))) 0.59/0.77 (step @p47 :rule arith_reduction :args (@t33)) 0.59/0.77 (step @p48 :rule and_elim :premises (@p47) :args (0)) 0.59/0.77 (step @p49 :rule refl :args (@t36)) 0.59/0.77 (step @p50 :rule cong :premises (@p49 @p48) :args (@t37)) 0.59/0.77 (step @p51 :rule refl :args (@t38)) 0.59/0.77 (step @p52 :rule refl :args (@t17)) 0.59/0.77 (step @p53 :rule cong :premises (@p52 @p51 @p50) :args ((ite @t17 @t38 @t37))) 0.59/0.77 (step @p54 :rule refl :args (@t33)) 0.59/0.77 (step @p55 :rule eq-refl :args (@t35)) 0.59/0.77 (step @p56 :rule refl :args (@t35)) 0.59/0.77 (step @p57 :rule skolem_intro :args (@t36)) 0.59/0.77 (step @p58 :rule cong :premises (@p57 @p56) :args (@t39)) 0.59/0.77 (step @p59 :rule arith_poly_norm :args ((= (* -1/1 (- @t35 @t36)) (* 1/1 (- @t36 @t35))))) 0.59/0.77 (step @p60 :rule arith_poly_norm_rel :premises (@p59) :args ((= (= @t35 @t36) @t39))) 0.59/0.77 (step @p61 :rule trans :premises (@p60 @p58 @p55)) 0.59/0.77 (step @p62 :rule true_elim :premises (@p61)) 0.59/0.77 (step @p63 :rule cong :premises (@p62 @p54) :args (@t40)) 0.59/0.77 (step @p64 :rule refl :args (@t34)) 0.59/0.77 (step @p65 :rule cong :premises (@p62 @p64) :args (@t41)) 0.59/0.77 (step @p66 :rule cong :premises (@p52 @p65 @p63) :args ((ite @t17 @t41 @t40))) 0.59/0.77 (step @p67 :rule ite_eq :args (@t35)) 0.59/0.77 (step @p68 :rule eq_resolve :premises (@p67 @p66)) 0.59/0.77 (step @p69 :rule eq_resolve :premises (@p68 @p53)) 0.59/0.77 (step @p70 :rule ite_elim2 :premises (@p69)) 0.59/0.77 (step @p71 :rule chain_resolution :premises (@p70 @p46) :args (@t31 @t42)) 0.59/0.77 (step @p72 :rule arith_poly_norm :args ((= (* -1/1 (- 0/1 tptp.x)) (* -1/1 (- @t25 0))))) 0.59/0.77 (step @p73 :rule arith_poly_norm_rel :premises (@p72) :args ((= @t44 @t43))) 0.59/0.77 (step @p74 :rule arith-elim-leq :args (tptp.x 0/1)) 0.59/0.77 (step @p75 :rule trans :premises (@p74 @p73)) 0.59/0.77 (step @p76 :rule cong :premises (@p75) :args ((not (<= tptp.x 0/1)))) 0.59/0.77 (step @p77 :rule symm :premises (@p74)) 0.59/0.77 (step @p78 :rule cong :premises (@p77) :args ((not @t44))) 0.59/0.77 (step @p79 :rule arith-elim-gt :args (tptp.x 0/1)) 0.59/0.77 (step @p80 :rule trans :premises (@p79 @p78)) 0.59/0.77 (step @p81 :rule trans :premises (@p80 @p76)) 0.59/0.77 (step @p82 :rule eq_resolve :premises (@p3 @p81)) 0.59/0.77 (step @p83 :rule bool-double-not-elim :args (@t45)) 0.59/0.77 (step @p84 :rule bool-double-not-elim :args (@t43)) 0.59/0.77 (step @p85 :rule nary_cong :premises (@p84 @p83) :args ((or @t48 (not @t46)))) 0.59/0.77 (assume-push @p2545 @t46) 0.59/0.77 (assume-push @p2546 @t47) 0.59/0.77 (step @p88 :rule arith-elim-lt :args (tptp.x 0/1)) 0.59/0.77 (step @p89 :rule arith_poly_norm :args (@t49)) 0.59/0.77 (step @p90 :rule arith_poly_norm_rel :premises (@p89) :args (@t51)) 0.59/0.77 (step @p91 :rule cong :premises (@p90) :args ((not @t50))) 0.59/0.77 (step @p92 :rule trans :premises (@p88 @p91)) 0.59/0.77 (step @p93 :rule symm :premises (@p92)) 0.59/0.77 (step @p94 :rule eq_resolve :premises (@p2545 @p93)) 0.59/0.77 (step @p95 :rule eq_resolve :premises (@p94 @p88)) 0.59/0.77 (step @p96 :rule symm :premises (@p90)) 0.59/0.77 (step @p97 :rule cong :premises (@p92) :args ((not @t52))) 0.59/0.77 (step @p98 :rule trans :premises (@p97 @p83)) 0.59/0.77 (step @p99 :rule trans :premises (@p98 @p96)) 0.59/0.77 (assume-push @p2547 @t52) 0.59/0.77 (step @p16 :rule evaluate :args (@t21)) 0.59/0.77 (step @p17 :rule evaluate :args (@t22)) 0.59/0.77 (step @p101 :rule evaluate :args (@t53)) 0.59/0.77 (step @p102 :rule evaluate :args (@t54)) 0.59/0.77 (step @p103 :rule refl :args (0/1)) 0.59/0.77 (step @p104 :rule nary_cong :premises (@p103 @p102) :args (@t55)) 0.59/0.77 (step @p105 :rule trans :premises (@p104 @p101)) 0.59/0.77 (step @p106 :rule arith_poly_norm :args (@t56)) 0.59/0.77 (step @p25 :rule arith_poly_norm :args (@t27)) 0.59/0.77 (step @p24 :rule refl :args (tptp.x)) 0.59/0.77 (step @p107 :rule nary_cong :premises (@p24 @p25) :args (@t57)) 0.59/0.77 (step @p108 :rule trans :premises (@p107 @p106)) 0.59/0.77 (step @p109 :rule cong :premises (@p108 @p105) :args (@t58)) 0.59/0.77 (step @p110 :rule trans :premises (@p109 @p17)) 0.59/0.77 (step @p111 :rule cong :premises (@p110) :args (@t59)) 0.59/0.77 (step @p112 :rule trans :premises (@p111 @p16)) 0.59/0.77 (step @p113 :rule arith-elim-lt :args (@t57 @t55)) 0.59/0.77 (step @p114 :rule trans :premises (@p113 @p112)) 0.59/0.77 (step @p115 :rule arith_mult_neg :args (-1/1 @t11)) 0.59/0.77 (step @p35 :rule evaluate :args (@t30)) 0.59/0.77 (step @p36 :rule true_elim :premises (@p35)) 0.59/0.77 (step @p116 :rule and_intro :premises (@p36 @p3)) 0.59/0.77 (step @p117 :rule modus_ponens :premises (@p116 @p115)) 0.59/0.77 (step @p118 :rule arith_sum_ub :premises (@p2547 @p117)) 0.59/0.77 (step @p119 false :rule eq_resolve :premises (@p118 @p114)) 0.59/0.77 (step-pop @p2547 :rule scope :premises (@p119)) 0.59/0.77 (step @p120 :rule process_scope :premises (@p2547) :args (false)) 0.59/0.77 (step @p122 :rule eq_resolve :premises (@p120 @p99)) 0.59/0.77 (step @p123 false :rule contra :premises (@p122 @p95)) 0.59/0.77 (step-pop @p2548 :rule scope :premises (@p123)) 0.59/0.77 (step-pop @p2549 :rule scope :premises (@p2548)) 0.59/0.77 (step @p124 :rule process_scope :premises (@p2549) :args (false)) 0.59/0.77 (assume-push @p2551 @t47) 0.59/0.77 (assume-push @p2552 @t46) 0.59/0.77 (step @p129 :rule and_intro :premises (@p2552 @p82)) 0.59/0.77 (step-pop @p2552 :rule scope :premises (@p129)) 0.59/0.77 (step-pop @p2553 :rule scope :premises (@p2552)) 0.59/0.77 (step @p130 :rule process_scope :premises (@p2553) :args (@t60)) 0.59/0.77 (step @p133 :rule implies_elim :premises (@p130)) 0.59/0.77 (step @p134 :rule resolution :premises (@p133 @p124) :args (true @t60)) 0.59/0.77 (step @p135 :rule not_and :premises (@p134)) 0.59/0.77 (step @p136 :rule eq_resolve :premises (@p135 @p85)) 0.59/0.77 (step @p137 :rule chain_resolution :premises (@p136 @p82) :args (@t31 @t61)) 0.59/0.77 (step @p138 :rule refl :args (@t46)) 0.59/0.77 (step @p139 :rule refl :args (@t63)) 0.59/0.77 (step @p140 :rule nary_cong :premises (@p139 @p138 @p12) :args ((or @t63 @t46 @t20))) 0.59/0.77 (step @p141 :rule cnf_ite_neg1 :args (@t63)) 0.59/0.77 (step @p142 :rule eq_resolve :premises (@p141 @p140)) 0.59/0.77 (step @p143 :rule reordering :premises (@p142) :args ((or @t13 @t63 @t46))) 0.59/0.77 (step @p144 :rule chain_resolution :premises (@p143 @p10 @p137) :args (@t64 (@list @t13 @t45))) 0.59/0.77 (step @p145 :rule refl :args (@t66)) 0.59/0.77 (step @p146 :rule nary_cong :premises (@p84 @p145) :args ((or @t48 @t66))) 0.59/0.77 (assume-push @p2555 @t65) 0.59/0.77 (assume-push @p2556 @t47) 0.59/0.77 (assume-push @p2557 @t65) 0.59/0.77 (step @p16 :rule evaluate :args (@t21)) 0.59/0.77 (step @p17 :rule evaluate :args (@t22)) 0.59/0.77 (step @p101 :rule evaluate :args (@t53)) 0.59/0.77 (step @p102 :rule evaluate :args (@t54)) 0.59/0.77 (step @p103 :rule refl :args (0/1)) 0.59/0.77 (step @p104 :rule nary_cong :premises (@p103 @p102) :args (@t55)) 0.59/0.77 (step @p105 :rule trans :premises (@p104 @p101)) 0.59/0.77 (step @p106 :rule arith_poly_norm :args (@t56)) 0.59/0.77 (step @p25 :rule arith_poly_norm :args (@t27)) 0.59/0.77 (step @p24 :rule refl :args (tptp.x)) 0.59/0.77 (step @p107 :rule nary_cong :premises (@p24 @p25) :args (@t57)) 0.59/0.77 (step @p108 :rule trans :premises (@p107 @p106)) 0.59/0.77 (step @p109 :rule cong :premises (@p108 @p105) :args (@t58)) 0.59/0.77 (step @p110 :rule trans :premises (@p109 @p17)) 0.59/0.77 (step @p111 :rule cong :premises (@p110) :args (@t59)) 0.59/0.77 (step @p112 :rule trans :premises (@p111 @p16)) 0.59/0.77 (step @p113 :rule arith-elim-lt :args (@t57 @t55)) 0.59/0.77 (step @p114 :rule trans :premises (@p113 @p112)) 0.59/0.77 (step @p115 :rule arith_mult_neg :args (-1/1 @t11)) 0.59/0.77 (step @p35 :rule evaluate :args (@t30)) 0.59/0.77 (step @p36 :rule true_elim :premises (@p35)) 0.59/0.77 (step @p116 :rule and_intro :premises (@p36 @p3)) 0.59/0.77 (step @p117 :rule modus_ponens :premises (@p116 @p115)) 0.59/0.77 (step @p150 :rule arith_sum_ub :premises (@p2555 @p117)) 0.59/0.77 (step @p151 false :rule eq_resolve :premises (@p150 @p114)) 0.59/0.77 (step-pop @p2557 :rule scope :premises (@p151)) 0.59/0.77 (step @p152 :rule process_scope :premises (@p2557) :args (false)) 0.59/0.77 (step @p154 false :rule contra :premises (@p2555 @p152)) 0.59/0.77 (step-pop @p2558 :rule scope :premises (@p154)) 0.59/0.77 (step-pop @p2559 :rule scope :premises (@p2558)) 0.59/0.77 (step @p155 :rule process_scope :premises (@p2559) :args (false)) 0.59/0.77 (assume-push @p2561 @t47) 0.59/0.77 (assume-push @p2562 @t65) 0.59/0.77 (step @p160 :rule and_intro :premises (@p2562 @p82)) 0.59/0.77 (step-pop @p2562 :rule scope :premises (@p160)) 0.59/0.77 (step-pop @p2563 :rule scope :premises (@p2562)) 0.59/0.77 (step @p161 :rule process_scope :premises (@p2563) :args (@t67)) 0.59/0.77 (step @p164 :rule implies_elim :premises (@p161)) 0.59/0.77 (step @p165 :rule resolution :premises (@p164 @p155) :args (true @t67)) 0.59/0.77 (step @p166 :rule not_and :premises (@p165)) 0.59/0.77 (step @p167 :rule eq_resolve :premises (@p166 @p146)) 0.59/0.77 (step @p168 :rule chain_resolution :premises (@p167 @p82) :args (@t31 @t61)) 0.59/0.77 (step @p169 :rule bool-double-not-elim :args (@t65)) 0.59/0.77 (step @p170 :rule refl :args (@t68)) 0.59/0.77 (step @p171 :rule refl :args (@t69)) 0.59/0.77 (step @p172 :rule nary_cong :premises (@p171 @p170 @p169) :args ((or @t69 @t68 @t70))) 0.59/0.77 (step @p173 :rule cnf_and_neg :args (@t69)) 0.59/0.77 (step @p174 :rule eq_resolve :premises (@p173 @p172)) 0.59/0.77 (step @p175 :rule reordering :premises (@p174) :args ((or @t65 @t68 @t69))) 0.59/0.77 (step @p176 :rule chain_resolution :premises (@p175 @p168 @p144) :args (@t64 (@list @t65 @t63))) 0.59/0.77 (step @p177 :rule arith_poly_norm :args ((= (* 1/1 (- @t72 @t25)) @t74))) 0.59/0.77 (step @p178 :rule arith_poly_norm_rel :premises (@p177) :args ((= (>= @t72 @t25) @t75))) 0.59/0.77 (step @p179 :rule arith-elim-leq :args (@t25 @t72)) 0.59/0.77 (step @p180 :rule trans :premises (@p179 @p178)) 0.59/0.77 (step @p181 :rule arith_poly_norm :args ((= @t76 @t72))) 0.59/0.77 (step @p182 :rule arith_poly_norm :args ((= @t77 @t25))) 0.59/0.77 (step @p183 :rule cong :premises (@p182 @p181) :args (@t78)) 0.59/0.77 (step @p184 :rule trans :premises (@p183 @p180)) 0.59/0.77 (step @p185 :rule cong :premises (@p184) :args ((not @t78))) 0.59/0.77 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(step-pop @p2882 :rule scope :premises (@p2514)) 0.59/0.78 (step @p2516 :rule process_scope :premises (@p2882) :args (@t631)) 0.59/0.78 (step @p2518 :rule modus_ponens :premises (@p2879 @p2516)) 0.59/0.78 (step-pop @p2883 :rule scope :premises (@p2518)) 0.59/0.78 (step @p2519 :rule process_scope :premises (@p2883) :args (@t631)) 0.59/0.78 (step @p2521 :rule implies_elim :premises (@p2519)) 0.59/0.78 (step @p2522 :rule eq_resolve :premises (@p2521 @p2495)) 0.59/0.78 (step @p2523 :rule reordering :premises (@p2522) :args ((or @t631 @t221))) 0.59/0.78 (step @p2524 :rule chain_resolution :premises (@p2523 @p2493) :args (@t31 @t389)) 0.59/0.78 (assume-push @p2885 @t307) 0.59/0.78 (step @p2526 :rule evaluate :args ((= 0/1 0/1))) 0.59/0.78 (step @p103 :rule refl :args (0/1)) 0.59/0.78 (step @p2527 :rule arith_poly_norm :args (@t634)) 0.59/0.78 (step @p2528 :rule cong :premises (@p2527 @p103) :args (@t634)) 0.59/0.78 (step @p2529 :rule trans :premises (@p2528 @p2526)) 0.59/0.78 (step @p2530 :rule nary_cong :premises (@p24 @p24 @p2885) :args (@t212)) 0.59/0.78 (step @p2531 :rule cong :premises (@p2530 @p103) :args (@t630)) 0.59/0.78 (step @p2532 :rule trans :premises (@p2531 @p2529)) 0.59/0.78 (step @p2533 :rule true_elim :premises (@p2532)) 0.59/0.78 (step-pop @p2885 :rule scope :premises (@p2533)) 0.59/0.78 (step @p2534 :rule process_scope :premises (@p2885) :args (@t630)) 0.59/0.78 (step @p2536 :rule implies_elim :premises (@p2534)) 0.59/0.78 (step @p2537 :rule reordering :premises (@p2536) :args ((or @t630 @t308))) 0.59/0.78 (step @p2538 :rule chain_resolution :premises (@p2537 @p2524) :args (@t31 (@list @t630))) 0.59/0.78 (step @p2539 :rule chain_resolution :premises (@p1987 @p2538 @p1446 @p1818 @p1978) :args ((@list true true true false) (@list @t307 @t391 @t517 @t513))) 0.59/0.78 (step @p2540 false :rule chain_resolution :premises (@p1996 @p2539 @p2489 @p2393) :args (@t410 (@list @t516 @t515 @t301))) 0.59/0.78 ) 0.59/0.78 % SZS output end Proof 0.59/0.78 % cvc5 exiting 0.59/0.78 EOF