%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : ARI645_1 : TPTP v9.2.1. Released v6.3.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % Computer : n012.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 08:08:02 AM UTC 2026 % Result : Theorem 106.34s 106.63s % Output : Proof 106.34s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.06 % Problem : ARI645_1 : TPTP v9.2.1. Released v6.3.0. % 0.00/0.07 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.07/0.25 % Computer : n012.cluster.edu % 0.07/0.25 % Model : x86_64 x86_64 % 0.07/0.25 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.07/0.25 % Memory : 8042.1875MB % 0.07/0.25 % OS : Linux 3.10.0-693.el7.x86_64 % 0.07/0.25 % CPULimit : 300 % 0.07/0.25 % WCLimit : 300 % 0.07/0.25 % DateTime : Wed Jun 3 02:30:33 EDT 2026 % 0.07/0.25 % CPUTime : % 0.15/0.33 %----Proving TF0_ARI % 106.34/106.63 --- Run --finite-model-find --decision=internal at 45... % 106.34/106.63 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 60... % 106.34/106.63 --- Run --no-e-matching --full-saturate-quant at 45... % 106.34/106.63 % SZS status Theorem % 106.34/106.63 % SZS output start Proof % 106.34/106.63 ( % 106.34/106.63 (declare-const tptp.b Int) % 106.34/106.63 (declare-const tptp.d Int) % 106.34/106.63 (declare-const tptp.a Int) % 106.34/106.63 (define @t1 () (to_real tptp.a)) % 106.34/106.63 (define @t2 () (to_real tptp.d)) % 106.34/106.63 (define @t3 () (/ @t2 @t1)) % 106.34/106.63 (define @t4 () (- @t3)) % 106.34/106.63 (define @t5 () (to_int @t4)) % 106.34/106.63 (define @t6 () (- @t5)) % 106.34/106.63 (define @t7 () (to_int @t3)) % 106.34/106.63 (define @t8 () (>= @t1 0/1)) % 106.34/106.63 (define @t9 () (ite @t8 @t7 @t6)) % 106.34/106.63 (define @t10 () (to_real tptp.b)) % 106.34/106.63 (define @t11 () (/ @t2 @t10)) % 106.34/106.63 (define @t12 () (- @t11)) % 106.34/106.63 (define @t13 () (to_int @t12)) % 106.34/106.63 (define @t14 () (- @t13)) % 106.34/106.63 (define @t15 () (to_int @t11)) % 106.34/106.63 (define @t16 () (>= @t10 0/1)) % 106.34/106.63 (define @t17 () (ite @t16 @t15 @t14)) % 106.34/106.63 (define @t18 () (<= @t17 @t9)) % 106.34/106.63 (define @t19 () (> tptp.a 0)) % 106.34/106.63 (define @t20 () (>= tptp.b tptp.a)) % 106.34/106.63 (define @t21 () (>= tptp.d 0)) % 106.34/106.63 (define @t22 () (and @t21 @t20 @t19)) % 106.34/106.63 (define @t23 () (=> @t22 @t18)) % 106.34/106.63 (define @t24 () (not @t23)) % 106.34/106.63 (define @t25 () (/ tptp.d tptp.b)) % 106.34/106.63 (define @t26 () (* -1/1 @t25)) % 106.34/106.63 (define @t27 () (to_int @t26)) % 106.34/106.63 (define @t28 () (* -1 @t27)) % 106.34/106.63 (define @t29 () (to_int @t25)) % 106.34/106.63 (define @t30 () (>= tptp.b 0)) % 106.34/106.63 (define @t31 () (ite @t30 @t29 @t28)) % 106.34/106.63 (define @t32 () (@purify @t31)) % 106.34/106.63 (define @t33 () (* -1 @t32)) % 106.34/106.63 (define @t34 () (/ tptp.d tptp.a)) % 106.34/106.63 (define @t35 () (* -1/1 @t34)) % 106.34/106.63 (define @t36 () (to_int @t35)) % 106.34/106.63 (define @t37 () (* -1 @t36)) % 106.34/106.63 (define @t38 () (to_int @t34)) % 106.34/106.63 (define @t39 () (>= tptp.a 0)) % 106.34/106.63 (define @t40 () (ite @t39 @t38 @t37)) % 106.34/106.63 (define @t41 () (@purify @t40)) % 106.34/106.63 (define @t42 () (+ @t41 @t33)) % 106.34/106.63 (define @t43 () (>= @t42 0)) % 106.34/106.63 (define @t44 () (* -1 @t41)) % 106.34/106.63 (define @t45 () (+ @t44 @t32)) % 106.34/106.63 (define @t46 () (+ @t42 1)) % 106.34/106.63 (define @t47 () (= @t41 @t40)) % 106.34/106.63 (define @t48 () (* -1 @t40)) % 106.34/106.63 (define @t49 () (= @t32 @t31)) % 106.34/106.63 (define @t50 () (+ @t31 @t48)) % 106.34/106.63 (define @t51 () (>= @t50 1)) % 106.34/106.63 (define @t52 () (not @t51)) % 106.34/106.63 (define @t53 () (>= tptp.a 1)) % 106.34/106.63 (define @t54 () (* -1 tptp.b)) % 106.34/106.63 (define @t55 () (+ tptp.a @t54)) % 106.34/106.63 (define @t56 () (>= @t55 1)) % 106.34/106.63 (define @t57 () (not @t56)) % 106.34/106.63 (define @t58 () (and @t21 @t57 @t53)) % 106.34/106.63 (define @t59 () (=> @t58 @t52)) % 106.34/106.63 (define @t60 () (+ @t40 1)) % 106.34/106.63 (define @t61 () (>= @t31 @t60)) % 106.34/106.63 (define @t62 () (* -1/1 @t3)) % 106.34/106.63 (define @t63 () (* -1 @t5)) % 106.34/106.63 (define @t64 () (= @t8 @t39)) % 106.34/106.63 (define @t65 () (* -1/1 @t11)) % 106.34/106.63 (define @t66 () (* -1 @t13)) % 106.34/106.63 (define @t67 () (* 1/1 (to_real (- tptp.b 0)))) % 106.34/106.63 (define @t68 () (* 1/1 (- @t10 0/1))) % 106.34/106.63 (define @t69 () (= @t16 @t30)) % 106.34/106.63 (define @t70 () (+ 0 1)) % 106.34/106.63 (define @t71 () (>= tptp.a @t70)) % 106.34/106.63 (define @t72 () (- tptp.b tptp.a)) % 106.34/106.63 (define @t73 () (+ @t55 1)) % 106.34/106.63 (define @t74 () (= tptp.a 0)) % 106.34/106.63 (define @t75 () (+ 0 -1)) % 106.34/106.63 (define @t76 () (* -1 1)) % 106.34/106.63 (define @t77 () (+ 0 @t76)) % 106.34/106.63 (define @t78 () (* -1 tptp.a)) % 106.34/106.63 (define @t79 () (+ tptp.a @t78)) % 106.34/106.63 (define @t80 () (= @t79 0)) % 106.34/106.63 (define @t81 () (< -1 0)) % 106.34/106.63 (define @t82 () (not @t74)) % 106.34/106.63 (define @t83 () (@list false)) % 106.34/106.63 (define @t84 () (@list @t53)) % 106.34/106.63 (define @t85 () (/_total tptp.d tptp.a)) % 106.34/106.63 (define @t86 () (@purify @t85)) % 106.34/106.63 (define @t87 () (* @t86 @t1)) % 106.34/106.63 (define @t88 () (= @t87 @t2)) % 106.34/106.63 (define @t89 () (* @t1 @t86)) % 106.34/106.63 (define @t90 () (= @t89 @t2)) % 106.34/106.63 (define @t91 () (= @t1 0/1)) % 106.34/106.63 (define @t92 () (not @t91)) % 106.34/106.63 (define @t93 () (@list true)) % 106.34/106.63 (define @t94 () (@list @t74)) % 106.34/106.63 (define @t95 () (@div_by_zero @t2)) % 106.34/106.63 (define @t96 () (ite @t74 @t95 @t85)) % 106.34/106.63 (define @t97 () (@purify @t96)) % 106.34/106.63 (define @t98 () (to_int @t97)) % 106.34/106.63 (define @t99 () (@purify @t98)) % 106.34/106.63 (define @t100 () (* -1 @t99)) % 106.34/106.63 (define @t101 () (to_real @t100)) % 106.34/106.63 (define @t102 () (to_real @t99)) % 106.34/106.63 (define @t103 () (* -1/1 @t102)) % 106.34/106.63 (define @t104 () (+ @t97 @t103)) % 106.34/106.63 (define @t105 () (- @t97 @t102)) % 106.34/106.63 (define @t106 () (>= @t105 1/1)) % 106.34/106.63 (define @t107 () (+ @t97 @t101)) % 106.34/106.63 (define @t108 () (<= 0/1 @t105)) % 106.34/106.63 (define @t109 () (not @t53)) % 106.34/106.63 (define @t110 () (not @t39)) % 106.34/106.63 (define @t111 () (not true)) % 106.34/106.63 (define @t112 () (>= 0 -1)) % 106.34/106.63 (define @t113 () (>= @t79 @t77)) % 106.34/106.63 (define @t114 () (= @t97 @t96)) % 106.34/106.63 (define @t115 () (= @t41 @t37)) % 106.34/106.63 (define @t116 () (= @t41 @t38)) % 106.34/106.63 (define @t117 () (= @t40 @t37)) % 106.34/106.63 (define @t118 () (= @t40 @t38)) % 106.34/106.63 (define @t119 () (= @t41 @t99)) % 106.34/106.63 (define @t120 () (= @t97 @t85)) % 106.34/106.63 (define @t121 () (= @t97 @t95)) % 106.34/106.63 (define @t122 () (= @t96 @t85)) % 106.34/106.63 (define @t123 () (= @t96 @t95)) % 106.34/106.63 (define @t124 () (= @t97 @t86)) % 106.34/106.63 (define @t125 () (= @t41 -1)) % 106.34/106.63 (define @t126 () (not @t125)) % 106.34/106.63 (define @t127 () (>= @t86 0/1)) % 106.34/106.63 (define @t128 () (not @t127)) % 106.34/106.63 (define @t129 () (>= @t107 1/1)) % 106.34/106.63 (define @t130 () (not @t124)) % 106.34/106.63 (define @t131 () (not @t119)) % 106.34/106.63 (define @t132 () (not @t129)) % 106.34/106.63 (define @t133 () (not @t132)) % 106.34/106.63 (define @t134 () (>= 0/1 0/1)) % 106.34/106.63 (define @t135 () (+ -1/1 0/1 0/1 1/1 0/1)) % 106.34/106.63 (define @t136 () (* -1/1 0/1)) % 106.34/106.63 (define @t137 () (to_real 0)) % 106.34/106.63 (define @t138 () (* -1 0)) % 106.34/106.63 (define @t139 () (to_real @t138)) % 106.34/106.63 (define @t140 () (+ -1/1 @t136 @t139 1/1 @t136)) % 106.34/106.63 (define @t141 () (* -1/1 @t86)) % 106.34/106.63 (define @t142 () (= (+ @t141 @t86 0/1 0/1 0/1) 0/1)) % 106.34/106.63 (define @t143 () (* 0 @t41)) % 106.34/106.63 (define @t144 () (= @t143 0)) % 106.34/106.63 (define @t145 () (to_real @t143)) % 106.34/106.63 (define @t146 () (* 0/1 @t97)) % 106.34/106.63 (define @t147 () (= @t146 0/1)) % 106.34/106.63 (define @t148 () (* 0 @t99)) % 106.34/106.63 (define @t149 () (= @t148 0)) % 106.34/106.63 (define @t150 () (to_real @t148)) % 106.34/106.63 (define @t151 () (+ @t141 @t86 @t150 @t146 @t145)) % 106.34/106.63 (define @t152 () (+ @t41 @t100)) % 106.34/106.63 (define @t153 () (to_real (* -1 @t152))) % 106.34/106.63 (define @t154 () (+ @t97 @t141)) % 106.34/106.63 (define @t155 () (* -1/1 @t154)) % 106.34/106.63 (define @t156 () (to_real @t41)) % 106.34/106.63 (define @t157 () (+ @t156 @t155 @t153 @t107 @t141)) % 106.34/106.63 (define @t158 () (= @t157 @t151)) % 106.34/106.63 (define @t159 () (>= @t157 @t140)) % 106.34/106.63 (define @t160 () (not @t159)) % 106.34/106.63 (define @t161 () (< -1/1 0/1)) % 106.34/106.63 (define @t162 () (= @t152 0)) % 106.34/106.63 (define @t163 () (= (* -1 (- @t152 0)) (* -1 (- @t41 @t99)))) % 106.34/106.63 (define @t164 () (= @t162 @t119)) % 106.34/106.63 (define @t165 () (= @t154 0/1)) % 106.34/106.63 (define @t166 () (= (* 1/1 (- @t154 0/1)) (* 1/1 (- @t97 @t86)))) % 106.34/106.63 (define @t167 () (= @t165 @t124)) % 106.34/106.63 (define @t168 () (to_real -1)) % 106.34/106.63 (define @t169 () (and @t127 @t132 @t119 @t124 @t125)) % 106.34/106.63 (define @t170 () (>= @t41 -1)) % 106.34/106.63 (define @t171 () (not @t170)) % 106.34/106.63 (define @t172 () (< @t41 -1)) % 106.34/106.63 (define @t173 () (not @t172)) % 106.34/106.63 (define @t174 () (< @t156 @t168)) % 106.34/106.63 (define @t175 () (and @t127 @t132 @t119 @t124 @t171)) % 106.34/106.63 (define @t176 () (/_total tptp.d tptp.b)) % 106.34/106.63 (define @t177 () (= tptp.b 0)) % 106.34/106.63 (define @t178 () (ite @t177 @t95 @t176)) % 106.34/106.63 (define @t179 () (@purify @t178)) % 106.34/106.63 (define @t180 () (to_int @t179)) % 106.34/106.63 (define @t181 () (@purify @t180)) % 106.34/106.63 (define @t182 () (* -1 @t181)) % 106.34/106.63 (define @t183 () (to_real @t182)) % 106.34/106.63 (define @t184 () (to_real @t181)) % 106.34/106.63 (define @t185 () (* -1/1 @t184)) % 106.34/106.63 (define @t186 () (+ @t179 @t185)) % 106.34/106.63 (define @t187 () (- @t179 @t184)) % 106.34/106.63 (define @t188 () (>= @t187 1/1)) % 106.34/106.63 (define @t189 () (+ @t179 @t183)) % 106.34/106.63 (define @t190 () (<= 0/1 @t187)) % 106.34/106.63 (define @t191 () (not @t177)) % 106.34/106.63 (define @t192 () (not @t57)) % 106.34/106.63 (define @t193 () (+ 0 1 @t76)) % 106.34/106.63 (define @t194 () (+ @t78 @t54 tptp.b tptp.a)) % 106.34/106.63 (define @t195 () (= @t194 0)) % 106.34/106.63 (define @t196 () (+ tptp.b @t55 @t78)) % 106.34/106.63 (define @t197 () (= @t196 @t194)) % 106.34/106.63 (define @t198 () (>= @t196 @t193)) % 106.34/106.63 (define @t199 () (and @t53 @t57 @t177)) % 106.34/106.63 (define @t200 () (@list true false)) % 106.34/106.63 (define @t201 () (@list @t56 @t53)) % 106.34/106.63 (define @t202 () (= @t179 @t176)) % 106.34/106.63 (define @t203 () (= @t179 @t95)) % 106.34/106.63 (define @t204 () (= @t179 @t178)) % 106.34/106.63 (define @t205 () (= @t178 @t176)) % 106.34/106.63 (define @t206 () (= @t178 @t95)) % 106.34/106.63 (define @t207 () (@purify @t176)) % 106.34/106.63 (define @t208 () (= @t179 @t207)) % 106.34/106.63 (define @t209 () (@list @t177)) % 106.34/106.63 (define @t210 () (not @t30)) % 106.34/106.63 (define @t211 () (+ 0 0 @t76)) % 106.34/106.63 (define @t212 () (>= @t196 @t211)) % 106.34/106.63 (define @t213 () (= @t32 @t28)) % 106.34/106.63 (define @t214 () (= @t32 @t29)) % 106.34/106.63 (define @t215 () (= @t31 @t28)) % 106.34/106.63 (define @t216 () (= @t31 @t29)) % 106.34/106.63 (define @t217 () (= @t32 @t181)) % 106.34/106.63 (define @t218 () (* -1/1 @t207)) % 106.34/106.63 (define @t219 () (+ @t86 @t218)) % 106.34/106.63 (define @t220 () (>= @t219 0/1)) % 106.34/106.63 (define @t221 () (not @t220)) % 106.34/106.63 (define @t222 () (>= @t189 0/1)) % 106.34/106.63 (define @t223 () (not @t222)) % 106.34/106.63 (define @t224 () (not @t208)) % 106.34/106.63 (define @t225 () (not @t217)) % 106.34/106.63 (define @t226 () (not @t43)) % 106.34/106.63 (define @t227 () (not @t226)) % 106.34/106.63 (define @t228 () (< @t107 1/1)) % 106.34/106.63 (define @t229 () (+ 1/1 @t136 -1/1 0/1 0/1 @t136 @t139 @t136)) % 106.34/106.63 (define @t230 () (to_real @t32)) % 106.34/106.63 (define @t231 () (to_real @t33)) % 106.34/106.63 (define @t232 () (* 0/1 @t179)) % 106.34/106.63 (define @t233 () (= @t232 0/1)) % 106.34/106.63 (define @t234 () (* 0 @t181)) % 106.34/106.63 (define @t235 () (= @t234 0)) % 106.34/106.63 (define @t236 () (to_real @t234)) % 106.34/106.63 (define @t237 () (* 0/1 @t207)) % 106.34/106.63 (define @t238 () (+ @t237 @t86 @t236 @t150 @t141 @t232 @t146 @t231 @t230 @t145)) % 106.34/106.63 (define @t239 () (+ @t179 @t218)) % 106.34/106.63 (define @t240 () (+ @t32 @t182)) % 106.34/106.63 (define @t241 () (to_real @t240)) % 106.34/106.63 (define @t242 () (to_real @t42)) % 106.34/106.63 (define @t243 () (* -1/1 @t189)) % 106.34/106.63 (define @t244 () (+ @t107 @t243 @t242 @t241 @t239 @t155 @t153 (* -1/1 @t219))) % 106.34/106.63 (define @t245 () (>= @t244 @t229)) % 106.34/106.63 (define @t246 () (= (* 1/1 (- @t239 0/1)) (* 1/1 (- @t179 @t207)))) % 106.34/106.63 (define @t247 () (= (= @t239 0/1) @t208)) % 106.34/106.63 (define @t248 () (= (* -1 (- @t240 0)) (* -1 (- @t32 @t181)))) % 106.34/106.63 (define @t249 () (= (= @t240 0) @t217)) % 106.34/106.63 (define @t250 () (<= @t242 @t168)) % 106.34/106.63 (define @t251 () (and @t220 @t119 @t124 @t208 @t217 @t226 @t222 @t132)) % 106.34/106.63 (define @t252 () (+ @t141 @t218)) % 106.34/106.63 (define @t253 () (>= @t252 0/1)) % 106.34/106.63 (define @t254 () (ite @t127 @t221 (not @t253))) % 106.34/106.63 (define @t255 () (>= @t41 0)) % 106.34/106.63 (define @t256 () (+ -1 1)) % 106.34/106.63 (define @t257 () (>= @t41 @t256)) % 106.34/106.63 (define @t258 () (> @t41 -1)) % 106.34/106.63 (define @t259 () (not @t258)) % 106.34/106.63 (define @t260 () (>= @t218 0/1)) % 106.34/106.63 (define @t261 () (not @t260)) % 106.34/106.63 (define @t262 () (not @t255)) % 106.34/106.63 (define @t263 () (>= 0/1 @t207)) % 106.34/106.63 (define @t264 () (not @t263)) % 106.34/106.63 (define @t265 () (= (* -1/1 (- 0/1 @t207)) (* -1/1 (- @t218 0/1)))) % 106.34/106.63 (define @t266 () (= @t263 @t260)) % 106.34/106.63 (define @t267 () (<= @t207 0/1)) % 106.34/106.63 (define @t268 () (not @t267)) % 106.34/106.63 (define @t269 () (+ 0/1 @t136 0/1 0/1 0/1 @t139)) % 106.34/106.63 (define @t270 () (to_real @t44)) % 106.34/106.63 (define @t271 () (+ @t218 @t236 @t207 @t232 @t231 @t230 @t270 @t156)) % 106.34/106.63 (define @t272 () (+ @t207 @t243 @t242 @t241 @t239 @t270)) % 106.34/106.63 (define @t273 () (>= @t272 @t269)) % 106.34/106.63 (define @t274 () (< @t242 @t137)) % 106.34/106.63 (define @t275 () (and @t255 @t208 @t217 @t226 @t222 @t260)) % 106.34/106.63 (define @t276 () (>= tptp.b 1)) % 106.34/106.63 (define @t277 () (not @t276)) % 106.34/106.63 (define @t278 () (not @t191)) % 106.34/106.63 (define @t279 () (and @t261 @t276)) % 106.34/106.63 (define @t280 () (not @t261)) % 106.34/106.63 (define @t281 () (* @t207 @t10)) % 106.34/106.63 (define @t282 () (* -1/1 @t281)) % 106.34/106.63 (define @t283 () (>= @t282 0/1)) % 106.34/106.63 (define @t284 () (>= 0/1 @t281)) % 106.34/106.63 (define @t285 () (>= tptp.b @t70)) % 106.34/106.63 (define @t286 () (> tptp.b 0)) % 106.34/106.63 (define @t287 () (> @t207 0/1)) % 106.34/106.63 (define @t288 () (and @t287 @t286)) % 106.34/106.63 (define @t289 () (> @t281 0/1)) % 106.34/106.63 (define @t290 () (> @t10 0/1)) % 106.34/106.63 (define @t291 () (and @t287 @t290)) % 106.34/106.63 (define @t292 () (not @t283)) % 106.34/106.63 (define @t293 () (= @t281 @t2)) % 106.34/106.63 (define @t294 () (* @t10 @t207)) % 106.34/106.63 (define @t295 () (= @t294 @t2)) % 106.34/106.63 (define @t296 () (= @t10 0/1)) % 106.34/106.63 (define @t297 () (not @t296)) % 106.34/106.63 (define @t298 () (>= @t87 0/1)) % 106.34/106.63 (define @t299 () (not @t88)) % 106.34/106.63 (define @t300 () (not @t293)) % 106.34/106.63 (define @t301 () (not @t298)) % 106.34/106.63 (define @t302 () (not @t301)) % 106.34/106.63 (define @t303 () (not @t292)) % 106.34/106.63 (define @t304 () (+ 0/1 @t136 0/1 @t136)) % 106.34/106.63 (define @t305 () (* 0/1 @t87)) % 106.34/106.63 (define @t306 () (* 0 tptp.d)) % 106.34/106.63 (define @t307 () (to_real @t306)) % 106.34/106.63 (define @t308 () (+ @t282 @t307 @t281 @t305)) % 106.34/106.63 (define @t309 () (* -1 tptp.d)) % 106.34/106.63 (define @t310 () (to_real @t309)) % 106.34/106.63 (define @t311 () (+ @t87 @t310)) % 106.34/106.63 (define @t312 () (* -1/1 @t311)) % 106.34/106.63 (define @t313 () (+ @t281 @t310)) % 106.34/106.63 (define @t314 () (+ @t87 @t282 @t313 @t312)) % 106.34/106.63 (define @t315 () (>= @t314 @t304)) % 106.34/106.63 (define @t316 () (= @t311 0/1)) % 106.34/106.63 (define @t317 () (= (* -1/1 (- @t311 0/1)) (* -1/1 (- @t87 @t2)))) % 106.34/106.63 (define @t318 () (= @t316 @t88)) % 106.34/106.63 (define @t319 () (+ @t87 @t282)) % 106.34/106.63 (define @t320 () (>= @t319 0/1)) % 106.34/106.63 (define @t321 () (not @t320)) % 106.34/106.63 (define @t322 () (and @t321 @t293 @t88)) % 106.34/106.63 (define @t323 () (= true false)) % 106.34/106.63 (define @t324 () (= @t87 @t281)) % 106.34/106.63 (define @t325 () (- @t282 @t282)) % 106.34/106.63 (define @t326 () (+ @t282 0/1)) % 106.34/106.63 (define @t327 () (* -1/1 @t87)) % 106.34/106.63 (define @t328 () (+ @t327 @t282 @t87)) % 106.34/106.63 (define @t329 () (+ @t327 @t319)) % 106.34/106.63 (define @t330 () (>= @t329 @t326)) % 106.34/106.63 (define @t331 () (+ @t327 @t282)) % 106.34/106.63 (define @t332 () (>= @t331 0/1)) % 106.34/106.63 (define @t333 () (ite @t298 @t321 (not @t332))) % 106.34/106.63 (define @t334 () (>= @t207 0/1)) % 106.34/106.63 (define @t335 () (< @t207 0/1)) % 106.34/106.63 (define @t336 () (+ 0/1 0/1)) % 106.34/106.63 (define @t337 () (+ 0/1 @t136)) % 106.34/106.63 (define @t338 () (+ @t207 @t218)) % 106.34/106.63 (define @t339 () (= @t338 0/1)) % 106.34/106.63 (define @t340 () (>= @t338 @t337)) % 106.34/106.63 (define @t341 () (not @t340)) % 106.34/106.63 (define @t342 () (= @t207 0/1)) % 106.34/106.63 (define @t343 () (not @t342)) % 106.34/106.63 (define @t344 () (>= @t281 0/1)) % 106.34/106.63 (define @t345 () (< @t281 0/1)) % 106.34/106.63 (define @t346 () (+ @t281 @t282)) % 106.34/106.63 (define @t347 () (>= @t346 @t337)) % 106.34/106.63 (define @t348 () (+ @t141 @t207)) % 106.34/106.63 (define @t349 () (>= @t348 0/1)) % 106.34/106.63 (define @t350 () (+ @t86 @t207)) % 106.34/106.63 (define @t351 () (>= @t350 0/1)) % 106.34/106.63 (define @t352 () (ite @t334 @t254 (ite @t127 (not @t351) (not @t349)))) % 106.34/106.63 (define @t353 () (+ @t327 @t281)) % 106.34/106.63 (define @t354 () (>= @t353 0/1)) % 106.34/106.63 (define @t355 () (+ @t87 @t281)) % 106.34/106.63 (define @t356 () (>= @t355 0/1)) % 106.34/106.63 (define @t357 () (ite @t344 @t333 (ite @t298 (not @t356) (not @t354)))) % 106.34/106.63 (define @t358 () (- @t87)) % 106.34/106.63 (define @t359 () (- @t281)) % 106.34/106.63 (define @t360 () (<= @t359 @t358)) % 106.34/106.63 (define @t361 () (<= @t359 @t87)) % 106.34/106.63 (define @t362 () (ite @t298 (> @t359 @t87) (> @t359 @t358))) % 106.34/106.63 (define @t363 () (<= @t281 @t358)) % 106.34/106.63 (define @t364 () (>= @t87 @t281)) % 106.34/106.63 (define @t365 () (ite @t298 (> @t281 @t87) (> @t281 @t358))) % 106.34/106.63 (define @t366 () (ite @t344 @t365 @t362)) % 106.34/106.63 (define @t367 () (- @t86)) % 106.34/106.63 (define @t368 () (- @t207)) % 106.34/106.63 (define @t369 () (<= @t368 @t367)) % 106.34/106.63 (define @t370 () (<= @t368 @t86)) % 106.34/106.63 (define @t371 () (ite @t127 (> @t368 @t86) (> @t368 @t367))) % 106.34/106.63 (define @t372 () (<= @t207 @t367)) % 106.34/106.63 (define @t373 () (>= @t86 @t207)) % 106.34/106.63 (define @t374 () (ite @t127 (> @t207 @t86) (> @t207 @t367))) % 106.34/106.63 (define @t375 () (ite @t334 @t374 @t371)) % 106.34/106.63 (define @t376 () (* 1 (- tptp.a @t54))) % 106.34/106.63 (define @t377 () (= tptp.a @t54)) % 106.34/106.63 (define @t378 () (- tptp.a)) % 106.34/106.63 (define @t379 () (= tptp.b @t378)) % 106.34/106.63 (define @t380 () (- tptp.a tptp.b)) % 106.34/106.63 (define @t381 () (= tptp.a tptp.b)) % 106.34/106.63 (define @t382 () (= tptp.b tptp.a)) % 106.34/106.63 (define @t383 () (or @t382 @t379)) % 106.34/106.63 (define @t384 () (and @t383 @t375 @t191 @t343)) % 106.34/106.63 (define @t385 () (- @t1)) % 106.34/106.63 (define @t386 () (= (* 1/1 (- @t10 @t385)) (* 1/1 (to_real (- tptp.b @t378))))) % 106.34/106.63 (define @t387 () (= @t10 @t385)) % 106.34/106.63 (define @t388 () (= (* -1/1 (- @t10 @t1)) (* -1/1 (to_real @t72)))) % 106.34/106.63 (define @t389 () (= @t10 @t1)) % 106.34/106.63 (define @t390 () (or @t381 @t377)) % 106.34/106.63 (define @t391 () (and @t390 @t352 @t191 @t343)) % 106.34/106.63 (define @t392 () (+ @t78 1)) % 106.34/106.63 (define @t393 () (>= @t54 @t392)) % 106.34/106.63 (define @t394 () (- tptp.b)) % 106.34/106.63 (define @t395 () (<= @t394 @t378)) % 106.34/106.63 (define @t396 () (+ tptp.a tptp.b)) % 106.34/106.63 (define @t397 () (>= @t396 0)) % 106.34/106.63 (define @t398 () (<= @t394 tptp.a)) % 106.34/106.63 (define @t399 () (> @t394 @t378)) % 106.34/106.63 (define @t400 () (> @t394 tptp.a)) % 106.34/106.63 (define @t401 () (ite @t39 @t400 @t399)) % 106.34/106.63 (define @t402 () (>= @t396 1)) % 106.34/106.63 (define @t403 () (>= tptp.b @t392)) % 106.34/106.63 (define @t404 () (<= tptp.b @t378)) % 106.34/106.63 (define @t405 () (* 1 (- @t55 0))) % 106.34/106.63 (define @t406 () (* 1 @t380)) % 106.34/106.63 (define @t407 () (>= @t55 0)) % 106.34/106.63 (define @t408 () (>= tptp.a tptp.b)) % 106.34/106.63 (define @t409 () (> tptp.b @t378)) % 106.34/106.63 (define @t410 () (> tptp.b tptp.a)) % 106.34/106.63 (define @t411 () (ite @t39 @t410 @t409)) % 106.34/106.63 (define @t412 () (ite @t30 @t411 @t401)) % 106.34/106.63 (define @t413 () (and @t412 @t375 @t191 @t343)) % 106.34/106.63 (define @t414 () (abs @t281)) % 106.34/106.63 (define @t415 () (abs @t87)) % 106.34/106.63 (define @t416 () (+ @t415 (* -1/1 @t414))) % 106.34/106.63 (define @t417 () (>= @t415 @t414)) % 106.34/106.63 (define @t418 () (* @t1 @t86)) % 106.34/106.63 (define @t419 () (abs @t418)) % 106.34/106.63 (define @t420 () (* @t10 @t207)) % 106.34/106.63 (define @t421 () (abs @t420)) % 106.34/106.63 (define @t422 () (<= @t421 @t419)) % 106.34/106.63 (define @t423 () (- @t10)) % 106.34/106.63 (define @t424 () (> @t423 @t385)) % 106.34/106.63 (define @t425 () (> @t423 @t1)) % 106.34/106.63 (define @t426 () (ite @t8 @t425 @t424)) % 106.34/106.63 (define @t427 () (> @t10 @t385)) % 106.34/106.63 (define @t428 () (> @t10 @t1)) % 106.34/106.63 (define @t429 () (ite @t8 @t428 @t427)) % 106.34/106.63 (define @t430 () (not @t407)) % 106.34/106.63 (define @t431 () (ite @t39 @t430 @t402)) % 106.34/106.63 (define @t432 () (ite @t30 @t431 (ite @t39 (not @t397) @t56))) % 106.34/106.63 (define @t433 () (and @t432 @t352 @t191 @t343)) % 106.34/106.63 (define @t434 () (not @t352)) % 106.34/106.63 (define @t435 () (not @t390)) % 106.34/106.63 (define @t436 () (not @t343)) % 106.34/106.63 (define @t437 () (not @t432)) % 106.34/106.63 (define @t438 () (not @t381)) % 106.34/106.63 (define @t439 () (= @t55 0)) % 106.34/106.63 (define @t440 () (and @t128 @t53)) % 106.34/106.63 (define @t441 () (< @t86 0/1)) % 106.34/106.63 (define @t442 () (and @t441 @t19)) % 106.34/106.63 (define @t443 () (< @t87 0/1)) % 106.34/106.63 (define @t444 () (> @t1 0/1)) % 106.34/106.63 (define @t445 () (and @t441 @t444)) % 106.34/106.63 (define @t446 () (not @t21)) % 106.34/106.63 (define @t447 () (+ 0/1 @t139 @t136)) % 106.34/106.63 (define @t448 () (+ @t327 @t2)) % 106.34/106.63 (define @t449 () (+ @t87 @t310 @t312)) % 106.34/106.63 (define @t450 () (>= @t449 @t447)) % 106.34/106.63 (define @t451 () (and @t88 @t21 @t301)) % 106.34/106.63 (assume @p1 @t24) % 106.34/106.63 (assume @p2 true) % 106.34/106.63 (step @p3 :rule bool-double-not-elim :args (@t43)) % 106.34/106.63 (step @p4 :rule arith_poly_norm :args ((= (* -1 (- 0 @t46)) (* -1 (- @t45 1))))) % 106.34/106.63 (step @p5 :rule arith_poly_norm_rel :premises (@p4) :args ((= (>= 0 @t46) (>= @t45 1)))) % 106.34/106.63 (step @p6 :rule arith-geq-tighten :args (@t42 0)) % 106.34/106.63 (step @p7 :rule trans :premises (@p6 @p5)) % 106.34/106.63 (step @p8 :rule symm :premises (@p7)) % 106.34/106.63 (step @p9 :rule refl :args (1)) % 106.34/106.63 (step @p10 :rule arith_poly_norm :args ((= (+ @t32 @t44) @t45))) % 106.34/106.63 (step @p11 :rule eq-refl :args (@t40)) % 106.34/106.63 (step @p12 :rule refl :args (@t40)) % 106.34/106.63 (step @p13 :rule skolem_intro :args (@t41)) % 106.34/106.63 (step @p14 :rule cong :premises (@p13 @p12) :args (@t47)) % 106.34/106.63 (step @p15 :rule arith_poly_norm :args ((= (* -1 (- @t40 @t41)) (* 1 (- @t41 @t40))))) % 106.34/106.63 (step @p16 :rule arith_poly_norm_rel :premises (@p15) :args ((= (= @t40 @t41) @t47))) % 106.34/106.63 (step @p17 :rule trans :premises (@p16 @p14 @p11)) % 106.34/106.63 (step @p18 :rule true_elim :premises (@p17)) % 106.34/106.63 (step @p19 :rule refl :args (-1)) % 106.34/106.63 (step @p20 :rule nary_cong :premises (@p19 @p18) :args (@t48)) % 106.34/106.63 (step @p21 :rule eq-refl :args (@t31)) % 106.34/106.63 (step @p22 :rule refl :args (@t31)) % 106.34/106.63 (step @p23 :rule skolem_intro :args (@t32)) % 106.34/106.63 (step @p24 :rule cong :premises (@p23 @p22) :args (@t49)) % 106.34/106.63 (step @p25 :rule arith_poly_norm :args ((= (* -1 (- @t31 @t32)) (* 1 (- @t32 @t31))))) % 106.34/106.63 (step @p26 :rule arith_poly_norm_rel :premises (@p25) :args ((= (= @t31 @t32) @t49))) % 106.34/106.63 (step @p27 :rule trans :premises (@p26 @p24 @p21)) % 106.34/106.63 (step @p28 :rule true_elim :premises (@p27)) % 106.34/106.63 (step @p29 :rule nary_cong :premises (@p28 @p20) :args (@t50)) % 106.34/106.63 (step @p30 :rule trans :premises (@p29 @p10)) % 106.34/106.63 (step @p31 :rule cong :premises (@p30 @p9) :args (@t51)) % 106.34/106.63 (step @p32 :rule trans :premises (@p31 @p8)) % 106.34/106.63 (step @p33 :rule cong :premises (@p32) :args (@t52)) % 106.34/106.63 (step @p34 :rule trans :premises (@p33 @p3)) % 106.34/106.63 (step @p35 :rule refl :args (@t58)) % 106.34/106.63 (step @p36 :rule cong :premises (@p35 @p34) :args (@t59)) % 106.34/106.63 (step @p37 :rule cong :premises (@p36) :args ((not @t59))) % 106.34/106.63 (step @p38 :rule arith_poly_norm :args ((= (* -1 (- @t31 @t60)) (* -1 (- @t50 1))))) % 106.34/106.63 (step @p39 :rule arith_poly_norm_rel :premises (@p38) :args ((= @t61 @t51))) % 106.34/106.63 (step @p40 :rule cong :premises (@p39) :args ((not @t61))) % 106.34/106.63 (step @p41 :rule arith-leq-norm :args (@t31 @t40)) % 106.34/106.63 (step @p42 :rule trans :premises (@p41 @p40)) % 106.34/106.63 ; WARNING: add trust step for TRUST_THEORY_REWRITE % 106.34/106.63 ; trust TRUST_THEORY_REWRITE % 106.34/106.63 (step @p43 :rule trust :premises () :args ((= @t3 @t34))) % 106.34/106.63 (step @p44 :rule refl :args (-1/1)) % 106.34/106.63 (step @p45 :rule nary_cong :premises (@p44 @p43) :args (@t62)) % 106.34/106.63 (step @p46 :rule arith_poly_norm :args ((= @t4 @t62))) % 106.34/106.63 (step @p47 :rule trans :premises (@p46 @p45)) % 106.34/106.63 (step @p48 :rule cong :premises (@p47) :args (@t5)) % 106.34/106.63 (step @p49 :rule nary_cong :premises (@p19 @p48) :args (@t63)) % 106.34/106.63 (step @p50 :rule arith_poly_norm :args ((= @t6 @t63))) % 106.34/106.63 (step @p51 :rule trans :premises (@p50 @p49)) % 106.34/106.63 (step @p52 :rule cong :premises (@p43) :args (@t7)) % 106.34/106.63 (step @p53 :rule arith_poly_norm :args ((= (* 1/1 (- @t1 0/1)) (* 1/1 (to_real (- tptp.a 0)))))) % 106.34/106.63 (step @p54 :rule arith_poly_norm_rel :premises (@p53) :args (@t64)) % 106.34/106.63 (step @p55 :rule cong :premises (@p54 @p52 @p51) :args (@t9)) % 106.34/106.63 ; trust TRUST_THEORY_REWRITE % 106.34/106.63 (step @p56 :rule trust :premises () :args ((= @t11 @t25))) % 106.34/106.63 (step @p57 :rule refl :args (-1/1)) % 106.34/106.63 (step @p58 :rule nary_cong :premises (@p57 @p56) :args (@t65)) % 106.34/106.63 (step @p59 :rule arith_poly_norm :args ((= @t12 @t65))) % 106.34/106.63 (step @p60 :rule trans :premises (@p59 @p58)) % 106.34/106.63 (step @p61 :rule cong :premises (@p60) :args (@t13)) % 106.34/106.63 (step @p62 :rule nary_cong :premises (@p19 @p61) :args (@t66)) % 106.34/106.63 (step @p63 :rule arith_poly_norm :args ((= @t14 @t66))) % 106.34/106.63 (step @p64 :rule trans :premises (@p63 @p62)) % 106.34/106.63 (step @p65 :rule cong :premises (@p56) :args (@t15)) % 106.34/106.63 (step @p66 :rule arith_poly_norm :args ((= @t68 @t67))) % 106.34/106.63 (step @p67 :rule arith_poly_norm_rel :premises (@p66) :args (@t69)) % 106.34/106.63 (step @p68 :rule cong :premises (@p67 @p65 @p64) :args (@t17)) % 106.34/106.63 (step @p69 :rule cong :premises (@p68 @p55) :args (@t18)) % 106.34/106.63 (step @p70 :rule trans :premises (@p69 @p42)) % 106.34/106.63 (step @p71 :rule bool-double-not-elim :args (@t53)) % 106.34/106.63 (step @p72 :rule evaluate :args (@t70)) % 106.34/106.63 (step @p73 :rule refl :args (tptp.a)) % 106.34/106.63 (step @p74 :rule cong :premises (@p73 @p72) :args (@t71)) % 106.34/106.63 (step @p75 :rule cong :premises (@p74) :args ((not @t71))) % 106.34/106.63 (step @p76 :rule arith-leq-norm :args (tptp.a 0)) % 106.34/106.63 (step @p77 :rule trans :premises (@p76 @p75)) % 106.34/106.63 (step @p78 :rule cong :premises (@p77) :args ((not (<= tptp.a 0)))) % 106.34/106.63 (step @p79 :rule trans :premises (@p78 @p71)) % 106.34/106.63 (step @p80 :rule arith-elim-leq :args (tptp.a 0)) % 106.34/106.63 (step @p81 :rule symm :premises (@p80)) % 106.34/106.63 (step @p82 :rule cong :premises (@p81) :args ((not (>= 0 tptp.a)))) % 106.34/106.63 (step @p83 :rule arith-elim-gt :args (tptp.a 0)) % 106.34/106.63 (step @p84 :rule trans :premises (@p83 @p82)) % 106.34/106.63 (step @p85 :rule trans :premises (@p84 @p79)) % 106.34/106.63 (step @p86 :rule arith_poly_norm :args ((= (* -1 (- 1 @t73)) (* -1 @t72)))) % 106.34/106.63 (step @p87 :rule arith_poly_norm_rel :premises (@p86) :args ((= (>= 1 @t73) @t20))) % 106.34/106.63 (step @p88 :rule arith-geq-tighten :args (@t55 1)) % 106.34/106.63 (step @p89 :rule trans :premises (@p88 @p87)) % 106.34/106.63 (step @p90 :rule symm :premises (@p89)) % 106.34/106.63 (step @p91 :rule refl :args (@t21)) % 106.34/106.63 (step @p92 :rule nary_cong :premises (@p91 @p90 @p85) :args (@t22)) % 106.34/106.63 (step @p93 :rule cong :premises (@p92 @p70) :args (@t23)) % 106.34/106.63 (step @p94 :rule cong :premises (@p93) :args (@t24)) % 106.34/106.63 (step @p95 :rule trans :premises (@p94 @p37)) % 106.34/106.63 (step @p96 :rule eq_resolve :premises (@p1 @p95)) % 106.34/106.63 (step @p97 :rule not_implies_elim1 :premises (@p96)) % 106.34/106.63 (step @p98 :rule and_elim :premises (@p97) 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106.34/106.63 (step @p1345 :rule arith_poly_norm_rel :premises (@p53) :args (@t64)) % 106.34/106.63 (step @p1346 :rule cong :premises (@p1345 @p1344 @p1342) :args (@t426)) % 106.34/106.63 (step @p1224 :rule arith_poly_norm :args (@t386)) % 106.34/106.63 (step @p1347 :rule arith_poly_norm_rel :premises (@p1224) :args ((= @t427 @t409))) % 106.34/106.63 (step @p1226 :rule arith_poly_norm :args (@t388)) % 106.34/106.63 (step @p1348 :rule arith_poly_norm_rel :premises (@p1226) :args ((= @t428 @t410))) % 106.34/106.63 (step @p1349 :rule cong :premises (@p1345 @p1348 @p1347) :args (@t429)) % 106.34/106.63 (step @p1350 :rule arith_poly_norm_rel :premises (@p66) :args (@t69)) % 106.34/106.63 (step @p1351 :rule cong :premises (@p1350 @p1349 @p1346) :args ((ite @t16 @t429 @t426))) % 106.34/106.63 (step @p1352 :rule arith-abs-real-gt :args (@t10 @t1)) % 106.34/106.63 (step @p1353 :rule trans :premises (@p1352 @p1351)) % 106.34/106.63 (step @p1354 :rule symm :premises (@p1353)) % 106.34/106.63 (step @p1355 :rule arith-abs-int-gt :args (tptp.b tptp.a)) % 106.34/106.63 (step @p1356 :rule trans :premises (@p1355 @p1354)) % 106.34/106.63 (step @p1357 :rule symm :premises (@p1355)) % 106.34/106.63 (step @p1358 :rule eq_resolve :premises (@p1690 @p1357)) % 106.34/106.63 (step @p1359 :rule eq_resolve :premises (@p1358 @p1356)) % 106.34/106.63 (step @p1360 :rule arith_mult_abs_comparison :premises (@p1359 @p1340)) % 106.34/106.63 (step @p1361 :rule eq_resolve :premises (@p1360 @p1339)) % 106.34/106.63 (step @p1362 :rule eq_resolve :premises (@p1361 @p1214)) % 106.34/106.63 (step-pop @p1694 :rule scope :premises (@p1362)) % 106.34/106.63 (step-pop @p1695 :rule scope :premises (@p1694)) % 106.34/106.63 (step-pop @p1696 :rule scope :premises (@p1695)) % 106.34/106.63 (step-pop @p1697 :rule scope :premises (@p1696)) % 106.34/106.63 (step @p1363 :rule process_scope :premises (@p1697) :args (@t366)) % 106.34/106.63 (step @p1368 :rule eq_resolve :premises (@p1363 @p1310)) % 106.34/106.63 (step @p1369 :rule implies_elim :premises (@p1368)) % 106.34/106.63 (step @p1370 :rule reordering :premises (@p1369) :args ((or @t357 (not @t433)))) % 106.34/106.63 (step @p1371 :rule bool-double-not-elim :args (@t342)) % 106.34/106.63 (step @p1372 :rule refl :args (@t434)) % 106.34/106.63 (step @p1373 :rule refl :args (@t435)) % 106.34/106.63 (step @p1374 :rule refl :args (@t391)) % 106.34/106.63 (step @p1375 :rule nary_cong :premises (@p1374 @p1373 @p1372 @p796 @p1371) :args ((or @t391 @t435 @t434 @t278 @t436))) % 106.34/106.63 (step @p1376 :rule cnf_and_neg :args (@t391)) % 106.34/106.63 (step @p1377 :rule eq_resolve :premises (@p1376 @p1375)) % 106.34/106.63 (step @p1378 :rule reordering :premises (@p1377) :args ((or @t177 @t342 @t391 @t435 @t434))) % 106.34/106.63 (step @p1379 :rule refl :args (@t437)) % 106.34/106.63 (step @p1380 :rule refl :args (@t433)) % 106.34/106.63 (step @p1381 :rule nary_cong :premises (@p1380 @p1379 @p1372 @p796 @p1371) :args ((or @t433 @t437 @t434 @t278 @t436))) % 106.34/106.63 (step @p1382 :rule cnf_and_neg :args (@t433)) % 106.34/106.63 (step @p1383 :rule eq_resolve :premises (@p1382 @p1381)) % 106.34/106.63 (step @p1384 :rule reordering :premises (@p1383) :args ((or @t177 @t342 @t434 @t433 @t437))) % 106.34/106.63 (step @p1385 :rule cnf_or_neg :args (@t390 0)) % 106.34/106.63 (step @p1386 :rule cnf_ite_neg1 :args (@t432)) % 106.34/106.63 (step @p1387 :rule reordering :premises (@p1386) :args ((or @t210 @t432 (not @t431)))) % 106.34/106.63 (step @p1388 :rule refl :args (@t430)) % 106.34/106.63 (step @p1389 :rule bool-double-not-elim :args (@t381)) % 106.34/106.63 (step @p1390 :rule nary_cong :premises (@p408 @p1389 @p1388) :args ((or @t192 (not @t438) @t430))) % 106.34/106.63 (assume-push @p1698 @t57) % 106.34/106.63 (assume-push @p1699 @t438) % 106.34/106.63 (assume-push @p1700 @t407) % 106.34/106.63 (step @p1394 :rule arith-elim-lt :args (@t55 0)) % 106.34/106.63 (step @p1395 :rule arith_poly_norm :args ((= @t405 @t406))) % 106.34/106.63 (step @p1396 :rule arith_poly_norm_rel :premises (@p1395) :args ((= @t439 @t381))) % 106.34/106.63 (step @p1397 :rule cong :premises (@p1396) :args ((not @t439))) % 106.34/106.63 (step @p1398 :rule symm :premises (@p1397)) % 106.34/106.63 (step @p1399 :rule eq_resolve :premises (@p1699 @p1398)) % 106.34/106.63 (step @p427 :rule arith-elim-lt :args (@t55 1)) % 106.34/106.63 (step @p428 :rule symm :premises (@p427)) % 106.34/106.63 (step @p429 :rule eq_resolve :premises (@p406 @p428)) % 106.34/106.63 (step @p489 :rule int_tight_ub :premises (@p429)) % 106.34/106.63 (step @p1400 :rule arith_trichotomy :premises (@p489 @p1399)) % 106.34/106.63 (step @p1401 :rule eq_resolve :premises (@p1400 @p1394)) % 106.34/106.63 (step @p1402 false :rule contra :premises (@p1700 @p1401)) % 106.34/106.63 (step-pop @p1701 :rule scope :premises (@p1402)) % 106.34/106.63 (step-pop @p1702 :rule scope :premises (@p1701)) % 106.34/106.63 (step-pop @p1703 :rule scope :premises (@p1702)) % 106.34/106.63 (step @p1403 :rule process_scope :premises (@p1703) :args (false)) % 106.34/106.63 (step @p1407 :rule not_and :premises (@p1403)) % 106.34/106.63 (step @p1408 :rule eq_resolve :premises (@p1407 @p1390)) % 106.34/106.63 (step @p1409 :rule bool-double-not-elim :args (@t407)) % 106.34/106.63 (step @p1410 :rule refl :args (@t110)) % 106.34/106.63 (step @p1411 :rule refl :args (@t431)) % 106.34/106.63 (step @p1412 :rule nary_cong :premises (@p1411 @p1410 @p1409) :args ((or @t431 @t110 (not @t430)))) % 106.34/106.63 (step @p1413 :rule cnf_ite_neg1 :args (@t431)) % 106.34/106.63 (step @p1414 :rule eq_resolve :premises (@p1413 @p1412)) % 106.34/106.63 (step @p1415 :rule reordering :premises (@p1414) :args ((or @t110 @t407 @t431))) % 106.34/106.63 (step @p1416 :rule chain_m_resolution :premises (@p1415 @p180 @p1408 @p406 @p1387 @p501 @p1385 @p1384 @p451 @p1378 @p451 @p1370 @p1249 @p1085 @p1083 @p1081 @p1050 @p1031 @p996 @p994 @p932 @p873 @p137 @p861 @p826 @p819 @p794 @p474 @p529 @p405 @p530 @p695 @p658 @p652 @p388 @p231 @p216 @p156 @p328 @p231 @p216 @p156) :args (@t128 (@list false true true true false true true true true true true true true false false true false true false false false false true false false true false false false true false false true false false false true true false false true) (@list @t39 @t407 @t56 @t431 @t30 @t381 @t432 @t177 @t390 @t177 @t433 @t391 @t357 @t352 @t344 @t342 @t334 @t333 @t320 @t298 @t293 @t88 @t283 @t279 @t276 @t260 @t208 @t217 @t222 @t43 @t255 @t254 @t220 @t170 @t124 @t119 @t129 @t125 @t124 @t119 @t129))) % 106.34/106.63 (step @p1417 :rule bool-double-not-elim :args (@t127)) % 106.34/106.63 (step @p1418 :rule refl :args (@t440)) % 106.34/106.63 (step @p1419 :rule nary_cong :premises (@p1418 @p1417 @p158) :args ((or @t440 (not @t128) @t109))) % 106.34/106.63 (step @p1420 :rule cnf_and_neg :args (@t440)) % 106.34/106.63 (step @p1421 :rule eq_resolve :premises (@p1420 @p1419)) % 106.34/106.63 (step @p1422 :rule reordering :premises (@p1421) :args ((or @t109 @t127 @t440))) % 106.34/106.63 (step @p1423 :rule chain_m_resolution :premises (@p1422 @p99 @p1416) :args (@t440 (@list false true) (@list @t53 @t127))) % 106.34/106.63 (step @p920 :rule arith-elim-lt :args (@t87 0/1)) % 106.34/106.63 (step @p1424 :rule arith-elim-lt :args (@t86 0/1)) % 106.34/106.63 (step @p1425 :rule nary_cong :premises (@p1424 @p85) :args (@t442)) % 106.34/106.63 (step @p1426 :rule cong :premises (@p1425 @p920) :args ((=> @t442 @t443))) % 106.34/106.63 (step @p1427 :rule refl :args (@t443)) % 106.34/106.63 (step @p1428 :rule arith_poly_norm_rel :premises (@p53) :args ((= @t444 @t19))) % 106.34/106.63 (step @p1429 :rule refl :args (@t441)) % 106.34/106.63 (step @p1430 :rule nary_cong :premises (@p1429 @p1428) :args (@t445)) % 106.34/106.63 (step @p1431 :rule cong :premises (@p1430 @p1427) :args ((=> @t445 @t443))) % 106.34/106.63 (step @p1432 :rule arith_mult_sign :args (@t445 @t87)) % 106.34/106.63 (step @p1433 :rule eq_resolve :premises (@p1432 @p1431)) % 106.34/106.63 (step @p1434 :rule eq_resolve :premises (@p1433 @p1426)) % 106.34/106.63 (step @p1435 :rule implies_elim :premises (@p1434)) % 106.34/106.63 (step @p1436 :rule reordering :premises (@p1435) :args ((or @t301 (not @t440)))) % 106.34/106.63 (step @p1437 :rule chain_m_resolution :premises (@p1436 @p1423) :args (@t301 @t83 (@list @t440))) % 106.34/106.63 (step @p1438 :rule refl :args (@t446)) % 106.34/106.63 (step @p1439 :rule nary_cong :premises (@p1438 @p875 @p874) :args ((or @t446 @t299 @t302))) % 106.34/106.63 (assume-push @p1704 @t88) % 106.34/106.63 (assume-push @p1705 @t21) % 106.34/106.63 (assume-push @p1706 @t301) % 106.34/106.63 (step @p1443 :rule cong :premises (@p920) :args ((not @t443))) % 106.34/106.63 (step @p1444 :rule trans :premises (@p1443 @p874)) % 106.34/106.63 (step @p1445 :rule symm :premises (@p1444)) % 106.34/106.63 (assume-push @p1707 @t443) % 106.34/106.63 (step @p162 :rule evaluate :args (@t111)) % 106.34/106.63 (step @p244 :rule evaluate :args (@t134)) % 106.34/106.63 (step @p1447 :rule evaluate :args ((+ 0/1 0/1 0/1))) % 106.34/106.63 (step @p246 :rule evaluate :args (@t136)) % 106.34/106.63 (step @p1448 :rule evaluate :args (@t137)) % 106.34/106.63 (step @p248 :rule evaluate :args (@t138)) % 106.34/106.63 (step @p1449 :rule cong :premises (@p248) :args (@t139)) % 106.34/106.63 (step @p1450 :rule trans :premises (@p1449 @p1448)) % 106.34/106.63 (step @p1451 :rule nary_cong :premises (@p149 @p1450 @p246) :args (@t447)) % 106.34/106.63 (step @p1452 :rule trans :premises (@p1451 @p1447)) % 106.34/106.63 (step @p1453 :rule arith_poly_norm :args ((= (+ @t87 @t310 @t448) 0/1))) % 106.34/106.63 (step @p1454 :rule arith_poly_norm :args ((= @t312 @t448))) % 106.34/106.63 (step @p1455 :rule refl :args (@t310)) % 106.34/106.63 (step @p1456 :rule nary_cong :premises (@p1105 @p1455 @p1454) :args (@t449)) % 106.34/106.63 (step @p1457 :rule trans :premises (@p1456 @p1453)) % 106.34/106.63 (step @p1458 :rule cong :premises (@p1457 @p1452) :args (@t450)) % 106.34/106.63 (step @p1459 :rule trans :premises (@p1458 @p244)) % 106.34/106.63 (step @p1460 :rule cong :premises (@p1459) :args ((not @t450))) % 106.34/106.63 (step @p1461 :rule trans :premises (@p1460 @p162)) % 106.34/106.63 (step @p1462 :rule arith-elim-lt :args (@t449 @t447)) % 106.34/106.63 (step @p1463 :rule trans :premises (@p1462 @p1461)) % 106.34/106.63 (step @p904 :rule arith_mult_neg :args (-1/1 @t316)) % 106.34/106.63 (step @p905 :rule arith_poly_norm :args (@t317)) % 106.34/106.63 (step @p906 :rule arith_poly_norm_rel :premises (@p905) :args (@t318)) % 106.34/106.63 (step @p907 :rule symm :premises (@p906)) % 106.34/106.63 (step @p1464 :rule eq_resolve :premises (@p1704 @p907)) % 106.34/106.63 (step @p276 :rule evaluate :args (@t161)) % 106.34/106.63 (step @p277 :rule true_elim :premises (@p276)) % 106.34/106.63 (step @p1465 :rule and_intro :premises (@p277 @p1464)) % 106.34/106.63 (step @p1466 :rule modus_ponens :premises (@p1465 @p904)) % 106.34/106.63 (step @p1467 :rule arith_poly_norm :args ((= (* -1/1 (to_real (- @t309 @t138))) (* -1/1 (- @t310 @t139))))) % 106.34/106.63 (step @p1468 :rule arith_poly_norm_rel :premises (@p1467) :args ((= (<= @t309 @t138) (<= @t310 @t139)))) % 106.34/106.63 (step @p1469 :rule arith_mult_neg :args (-1 @t21)) % 106.34/106.63 (step @p112 :rule evaluate :args (@t81)) % 106.34/106.63 (step @p113 :rule true_elim :premises (@p112)) % 106.34/106.63 (step @p1470 :rule and_intro :premises (@p113 @p98)) % 106.34/106.63 (step @p1471 :rule modus_ponens :premises (@p1470 @p1469)) % 106.34/106.63 (step @p1472 :rule eq_resolve :premises (@p1471 @p1468)) % 106.34/106.63 (step @p1473 :rule arith_sum_ub :premises (@p1707 @p1472 @p1466)) % 106.34/106.63 (step @p1474 false :rule eq_resolve :premises (@p1473 @p1463)) % 106.34/106.63 (step-pop @p1708 :rule scope :premises (@p1474)) % 106.34/106.63 (step @p1475 :rule process_scope :premises (@p1708) :args (false)) % 106.34/106.63 (step @p1477 :rule eq_resolve :premises (@p1475 @p1444)) % 106.34/106.63 (step @p1478 :rule eq_resolve :premises (@p1477 @p1445)) % 106.34/106.63 (step @p921 :rule symm :premises (@p920)) % 106.34/106.63 (step @p1479 :rule eq_resolve :premises (@p1706 @p921)) % 106.34/106.63 (step @p1480 false :rule contra :premises (@p1479 @p1478)) % 106.34/106.63 (step-pop @p1709 :rule scope :premises (@p1480)) % 106.34/106.63 (step-pop @p1710 :rule scope :premises (@p1709)) % 106.34/106.63 (step-pop @p1711 :rule scope :premises (@p1710)) % 106.34/106.63 (step @p1481 :rule process_scope :premises (@p1711) :args (false)) % 106.34/106.63 (assume-push @p1712 @t21) % 106.34/106.63 (assume-push @p1713 @t88) % 106.34/106.63 (assume-push @p1714 @t301) % 106.34/106.63 (step @p1488 :rule and_intro :premises (@p1713 @p98 @p1714)) % 106.34/106.63 (step-pop @p1715 :rule scope :premises (@p1488)) % 106.34/106.63 (step-pop @p1716 :rule scope :premises (@p1715)) % 106.34/106.63 (step-pop @p1717 :rule scope :premises (@p1716)) % 106.34/106.63 (step @p1489 :rule process_scope :premises (@p1717) :args (@t451)) % 106.34/106.63 (step @p1493 :rule implies_elim :premises (@p1489)) % 106.34/106.63 (step @p1494 :rule resolution :premises (@p1493 @p1481) :args (true @t451)) % 106.34/106.63 (step @p1495 :rule not_and :premises (@p1494)) % 106.34/106.63 (step @p1496 :rule eq_resolve :premises (@p1495 @p1439)) % 106.34/106.63 (step @p1497 false :rule chain_m_resolution :premises (@p1496 @p1437 @p137 @p98) :args (false (@list true false false) (@list @t298 @t88 @t21))) % 106.34/106.63 ) % 106.34/106.63 % SZS output end Proof % 106.34/106.63 % cvc5 exiting %------------------------------------------------------------------------------