%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : NUM859_1 : TPTP v9.2.1. Released v4.1.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % Computer : n002.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 08:40:51 AM UTC 2026 % Result : Theorem 106.98s 107.23s % Output : Proof 106.98s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.12/0.13 % Problem : NUM859_1 : TPTP v9.2.1. Released v4.1.0. % 0.12/0.14 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.18/0.35 % Computer : n002.cluster.edu % 0.18/0.35 % Model : x86_64 x86_64 % 0.18/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.18/0.35 % Memory : 8042.1875MB % 0.18/0.35 % OS : Linux 3.10.0-693.el7.x86_64 % 0.18/0.35 % CPULimit : 300 % 0.18/0.35 % WCLimit : 300 % 0.18/0.35 % DateTime : Tue Jun 2 12:30:33 EDT 2026 % 0.18/0.36 % CPUTime : % 0.29/0.51 %----Proving TF0_ARI % 106.98/107.23 --- Run --finite-model-find --decision=internal at 45... % 106.98/107.23 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 60... % 106.98/107.23 --- Run --no-e-matching --full-saturate-quant at 45... % 106.98/107.23 --- Run --cegqi-all --purify-triggers --full-saturate-quant at 45... % 106.98/107.23 % SZS status Theorem % 106.98/107.23 % SZS output start Proof % 106.98/107.23 ( % 106.98/107.23 (declare-const tptp.minsol_model_ub (-> Int Int Int Bool)) % 106.98/107.23 (declare-const tptp.minsol_model_max (-> Int Int Int Bool)) % 106.98/107.23 (declare-const tptp.model_ub (-> Int Int Int Bool)) % 106.98/107.23 (declare-const tptp.model_max (-> Int Int Int Bool)) % 106.98/107.23 (declare-const tptp.ub (-> Int Int Int Bool)) % 106.98/107.23 (declare-const tptp.max (-> Int Int Int)) % 106.98/107.23 (declare-const tptp.summation (-> Int Int)) % 106.98/107.23 (define @t1 () (@var "Y" Int)) % 106.98/107.23 (define @t2 () (@var "X" Int)) % 106.98/107.23 (define @t3 () (<= @t2 @t1)) % 106.98/107.23 (define @t4 () (@list @t2 @t1)) % 106.98/107.23 (define @t5 () (not (<= @t1 @t2))) % 106.98/107.23 (define @t6 () (tptp.max @t2 @t1)) % 106.98/107.23 (define @t7 () (= @t6 @t2)) % 106.98/107.23 (define @t8 () (or @t7 @t5)) % 106.98/107.23 (define @t9 () (forall @t4 @t8)) % 106.98/107.23 (define @t10 () (not @t3)) % 106.98/107.23 (define @t11 () (= @t6 @t1)) % 106.98/107.23 (define @t12 () (or @t11 @t10)) % 106.98/107.23 (define @t13 () (forall @t4 @t12)) % 106.98/107.23 (define @t14 () (@var "Z" Int)) % 106.98/107.23 (define @t15 () (and (<= @t2 @t14) (<= @t1 @t14))) % 106.98/107.23 (define @t16 () (tptp.ub @t2 @t1 @t14)) % 106.98/107.23 (define @t17 () (= @t16 @t15)) % 106.98/107.23 (define @t18 () (@list @t2 @t1 @t14)) % 106.98/107.23 (define @t19 () (forall @t18 @t17)) % 106.98/107.23 (define @t20 () (@var "N" Int)) % 106.98/107.23 (define @t21 () (tptp.model_max @t2 @t1 @t20)) % 106.98/107.23 (define @t22 () (= @t21 (<= @t6 @t20))) % 106.98/107.23 (define @t23 () (@list @t2 @t1 @t20)) % 106.98/107.23 (define @t24 () (forall @t23 @t22)) % 106.98/107.23 (define @t25 () (and @t16 (<= @t14 @t20))) % 106.98/107.23 (define @t26 () (@list @t14)) % 106.98/107.23 (define @t27 () (exists @t26 @t25)) % 106.98/107.23 (define @t28 () (tptp.model_ub @t2 @t1 @t20)) % 106.98/107.23 (define @t29 () (= @t28 @t27)) % 106.98/107.23 (define @t30 () (forall @t23 @t29)) % 106.98/107.23 (define @t31 () (<= @t20 @t14)) % 106.98/107.23 (define @t32 () (tptp.model_max @t2 @t1 @t14)) % 106.98/107.23 (define @t33 () (=> @t32 @t31)) % 106.98/107.23 (define @t34 () (forall @t26 @t33)) % 106.98/107.23 (define @t35 () (and @t21 @t34)) % 106.98/107.23 (define @t36 () (tptp.minsol_model_max @t2 @t1 @t20)) % 106.98/107.23 (define @t37 () (= @t36 @t35)) % 106.98/107.23 (define @t38 () (forall @t23 @t37)) % 106.98/107.23 (define @t39 () (tptp.model_ub @t2 @t1 @t14)) % 106.98/107.23 (define @t40 () (=> @t39 @t31)) % 106.98/107.23 (define @t41 () (forall @t26 @t40)) % 106.98/107.23 (define @t42 () (and @t28 @t41)) % 106.98/107.23 (define @t43 () (tptp.minsol_model_ub @t2 @t1 @t20)) % 106.98/107.23 (define @t44 () (= @t43 @t42)) % 106.98/107.23 (define @t45 () (forall @t23 @t44)) % 106.98/107.23 (define @t46 () (forall @t18 (= (tptp.minsol_model_ub @t2 @t1 @t14) (tptp.minsol_model_max @t2 @t1 @t14)))) % 106.98/107.23 (define @t47 () (+ @t14 (* -1 @t20))) % 106.98/107.23 (define @t48 () (>= @t47 1)) % 106.98/107.23 (define @t49 () (not @t16)) % 106.98/107.23 (define @t50 () (not @t48)) % 106.98/107.23 (define @t51 () (and @t16 @t50)) % 106.98/107.23 (define @t52 () (forall @t26 (not @t51))) % 106.98/107.23 (define @t53 () (not @t52)) % 106.98/107.23 (define @t54 () (+ @t20 1)) % 106.98/107.23 (define @t55 () (>= @t14 @t54)) % 106.98/107.23 (define @t56 () (@quantifiers_skolemize @t46 2)) % 106.98/107.23 (define @t57 () (@quantifiers_skolemize @t46 1)) % 106.98/107.23 (define @t58 () (@quantifiers_skolemize @t46 0)) % 106.98/107.23 (define @t59 () (@list @t58 @t57 @t56)) % 106.98/107.23 (define @t60 () (* -1 @t14)) % 106.98/107.23 (define @t61 () (+ @t1 @t60)) % 106.98/107.23 (define @t62 () (+ @t14 1)) % 106.98/107.23 (define @t63 () (>= @t61 1)) % 106.98/107.23 (define @t64 () (>= @t1 @t62)) % 106.98/107.23 (define @t65 () (+ @t2 @t60)) % 106.98/107.23 (define @t66 () (>= @t65 1)) % 106.98/107.23 (define @t67 () (>= @t2 @t62)) % 106.98/107.23 (define @t68 () (+ @t2 (* -1 @t1))) % 106.98/107.23 (define @t69 () (>= @t68 1)) % 106.98/107.23 (define @t70 () (+ @t1 1)) % 106.98/107.23 (define @t71 () (>= @t2 @t70)) % 106.98/107.23 (define @t72 () (@list @t58 @t57)) % 106.98/107.23 (define @t73 () (* -1 @t57)) % 106.98/107.23 (define @t74 () (+ @t58 @t73)) % 106.98/107.23 (define @t75 () (>= @t74 1)) % 106.98/107.23 (define @t76 () (tptp.max @t58 @t57)) % 106.98/107.23 (define @t77 () (= @t57 @t76)) % 106.98/107.23 (define @t78 () (or @t77 @t75)) % 106.98/107.23 (define @t79 () (+ @t20 (* -1 @t6))) % 106.98/107.23 (define @t80 () (>= @t79 0)) % 106.98/107.23 (define @t81 () (>= @t47 0)) % 106.98/107.23 (define @t82 () (tptp.minsol_model_max @t58 @t57 @t56)) % 106.98/107.23 (define @t83 () (tptp.minsol_model_ub @t58 @t57 @t56)) % 106.98/107.23 (define @t84 () (= @t83 @t82)) % 106.98/107.23 (define @t85 () (* -1 @t56)) % 106.98/107.23 (define @t86 () (+ @t14 @t85)) % 106.98/107.23 (define @t87 () (>= @t86 0)) % 106.98/107.23 (define @t88 () (forall @t26 (or (not (tptp.model_ub @t58 @t57 @t14)) @t87))) % 106.98/107.23 (define @t89 () (tptp.model_ub @t58 @t57 @t56)) % 106.98/107.23 (define @t90 () (and @t89 @t88)) % 106.98/107.23 (define @t91 () (= @t83 @t90)) % 106.98/107.23 (define @t92 () (not @t91)) % 106.98/107.23 (define @t93 () (not @t83)) % 106.98/107.23 (define @t94 () (forall @t26 (or (not (tptp.model_max @t58 @t57 @t14)) @t87))) % 106.98/107.23 (define @t95 () (tptp.model_max @t58 @t57 @t56)) % 106.98/107.23 (define @t96 () (and @t95 @t94)) % 106.98/107.23 (define @t97 () (= @t82 @t96)) % 106.98/107.23 (define @t98 () (not @t97)) % 106.98/107.23 (define @t99 () (not @t96)) % 106.98/107.23 (define @t100 () (not @t90)) % 106.98/107.23 (define @t101 () (not (tptp.ub @t58 @t57 @t14))) % 106.98/107.23 (define @t102 () (forall @t26 (or @t101 (>= @t86 1)))) % 106.98/107.23 (define @t103 () (not @t102)) % 106.98/107.23 (define @t104 () (= @t89 @t103)) % 106.98/107.23 (define @t105 () (not @t104)) % 106.98/107.23 (define @t106 () (+ -1 @t56)) % 106.98/107.23 (define @t107 () (tptp.model_ub @t58 @t57 @t106)) % 106.98/107.23 (define @t108 () (not @t107)) % 106.98/107.23 (define @t109 () (+ @t85 @t56 -1)) % 106.98/107.23 (define @t110 () (+ @t106 @t85)) % 106.98/107.23 (define @t111 () (>= @t110 0)) % 106.98/107.23 (define @t112 () (or @t108 @t111)) % 106.98/107.23 (define @t113 () (@list @t106)) % 106.98/107.23 (define @t114 () (@quantifiers_skolemize @t102 0)) % 106.98/107.23 (define @t115 () (* -1 @t114)) % 106.98/107.23 (define @t116 () (+ @t56 @t115)) % 106.98/107.23 (define @t117 () (>= @t116 0)) % 106.98/107.23 (define @t118 () (not @t117)) % 106.98/107.23 (define @t119 () (tptp.ub @t58 @t57 @t114)) % 106.98/107.23 (define @t120 () (not @t119)) % 106.98/107.23 (define @t121 () (or @t120 @t118)) % 106.98/107.23 (define @t122 () (not @t121)) % 106.98/107.23 (define @t123 () (not @t103)) % 106.98/107.23 (define @t124 () (+ @t85 @t114)) % 106.98/107.23 (define @t125 () (+ @t116 1)) % 106.98/107.23 (define @t126 () (+ @t114 @t85)) % 106.98/107.23 (define @t127 () (>= @t126 1)) % 106.98/107.23 (define @t128 () (or @t120 @t127)) % 106.98/107.23 (define @t129 () (not @t128)) % 106.98/107.23 (define @t130 () (+ 1 @t14 @t85)) % 106.98/107.23 (define @t131 () (+ 1 @t85)) % 106.98/107.23 (define @t132 () (* -1 @t106)) % 106.98/107.23 (define @t133 () (+ @t14 @t132)) % 106.98/107.23 (define @t134 () (>= @t133 1)) % 106.98/107.23 (define @t135 () (or @t101 @t134)) % 106.98/107.23 (define @t136 () (forall @t26 @t135)) % 106.98/107.23 (define @t137 () (not @t136)) % 106.98/107.23 (define @t138 () (= @t107 @t137)) % 106.98/107.23 (define @t139 () (forall @t23 (= @t28 (not (forall @t26 (or @t49 @t48)))))) % 106.98/107.23 (define @t140 () (@list @t58 @t57 @t106)) % 106.98/107.23 (define @t141 () (forall @t26 (or @t101 @t87))) % 106.98/107.23 (define @t142 () (not @t141)) % 106.98/107.23 (define @t143 () (= @t107 @t142)) % 106.98/107.23 (define @t144 () (@list false)) % 106.98/107.23 (define @t145 () (not @t143)) % 106.98/107.23 (define @t146 () (tptp.ub @t58 @t57 @t106)) % 106.98/107.23 (define @t147 () (not @t146)) % 106.98/107.23 (define @t148 () (or @t147 @t111)) % 106.98/107.23 (define @t149 () (+ @t57 @t115)) % 106.98/107.23 (define @t150 () (>= @t149 1)) % 106.98/107.23 (define @t151 () (not @t150)) % 106.98/107.23 (define @t152 () (+ @t58 @t115)) % 106.98/107.23 (define @t153 () (>= @t152 1)) % 106.98/107.23 (define @t154 () (not @t153)) % 106.98/107.23 (define @t155 () (and @t154 @t151)) % 106.98/107.23 (define @t156 () (= @t119 @t155)) % 106.98/107.23 (define @t157 () (+ @t57 @t85)) % 106.98/107.23 (define @t158 () (+ 1 @t57 @t85)) % 106.98/107.23 (define @t159 () (>= @t157 0)) % 106.98/107.23 (define @t160 () (+ @t57 @t132)) % 106.98/107.23 (define @t161 () (>= @t160 1)) % 106.98/107.23 (define @t162 () (not @t161)) % 106.98/107.23 (define @t163 () (+ @t58 @t85)) % 106.98/107.23 (define @t164 () (+ 1 @t58 @t85)) % 106.98/107.23 (define @t165 () (>= @t163 0)) % 106.98/107.23 (define @t166 () (+ @t58 @t132)) % 106.98/107.23 (define @t167 () (>= @t166 1)) % 106.98/107.23 (define @t168 () (not @t167)) % 106.98/107.23 (define @t169 () (and @t168 @t162)) % 106.98/107.23 (define @t170 () (= @t146 @t169)) % 106.98/107.23 (define @t171 () (forall @t18 (= @t16 (and (not @t66) (not @t63))))) % 106.98/107.23 (define @t172 () (not @t159)) % 106.98/107.23 (define @t173 () (not @t165)) % 106.98/107.23 (define @t174 () (and @t173 @t172)) % 106.98/107.23 (define @t175 () (= @t146 @t174)) % 106.98/107.23 (define @t176 () (not @t155)) % 106.98/107.23 (define @t177 () (not @t77)) % 106.98/107.23 (define @t178 () (* -1 @t76)) % 106.98/107.23 (define @t179 () (+ @t56 @t178)) % 106.98/107.23 (define @t180 () (>= @t179 0)) % 106.98/107.23 (define @t181 () (not @t180)) % 106.98/107.23 (define @t182 () (not @t181)) % 106.98/107.23 (define @t183 () (+ 0 1)) % 106.98/107.23 (define @t184 () (>= @t149 @t183)) % 106.98/107.23 (define @t185 () (<= @t149 0)) % 106.98/107.23 (define @t186 () (not true)) % 106.98/107.23 (define @t187 () (>= 0 0)) % 106.98/107.23 (define @t188 () (+ 0 0 0 0)) % 106.98/107.23 (define @t189 () (* -1 0)) % 106.98/107.23 (define @t190 () (+ 0 0 @t189 @t189)) % 106.98/107.23 (define @t191 () (* 0 @t57)) % 106.98/107.23 (define @t192 () (= @t191 0)) % 106.98/107.23 (define @t193 () (* 0 @t56)) % 106.98/107.23 (define @t194 () (= @t193 0)) % 106.98/107.23 (define @t195 () (* 0 @t76)) % 106.98/107.23 (define @t196 () (= @t195 0)) % 106.98/107.23 (define @t197 () (* 0 @t114)) % 106.98/107.23 (define @t198 () (= @t197 0)) % 106.98/107.23 (define @t199 () (+ @t197 @t195 @t193 @t191)) % 106.98/107.23 (define @t200 () (+ @t57 @t178)) % 106.98/107.23 (define @t201 () (* -1 @t200)) % 106.98/107.23 (define @t202 () (* -1 @t116)) % 106.98/107.23 (define @t203 () (+ @t149 @t179 @t202 @t201)) % 106.98/107.23 (define @t204 () (>= @t203 @t190)) % 106.98/107.23 (define @t205 () (= @t200 0)) % 106.98/107.23 (define @t206 () (= (* 1 (- @t200 0)) (* 1 (- @t57 @t76)))) % 106.98/107.23 (define @t207 () (= @t205 @t77)) % 106.98/107.23 (define @t208 () (< -1 0)) % 106.98/107.23 (define @t209 () (and @t77 @t117 @t181 @t151)) % 106.98/107.23 (define @t210 () (>= @t74 0)) % 106.98/107.23 (define @t211 () (< @t74 0)) % 106.98/107.23 (define @t212 () (not @t211)) % 106.98/107.23 (define @t213 () (>= 0 -1)) % 106.98/107.23 (define @t214 () (+ 0 -1)) % 106.98/107.23 (define @t215 () (* -1 1)) % 106.98/107.23 (define @t216 () (+ 0 @t215)) % 106.98/107.23 (define @t217 () (+ 0 0)) % 106.98/107.23 (define @t218 () (* 0 @t58)) % 106.98/107.23 (define @t219 () (= @t218 0)) % 106.98/107.23 (define @t220 () (+ @t191 @t218)) % 106.98/107.23 (define @t221 () (* -1 @t74)) % 106.98/107.23 (define @t222 () (+ @t74 @t221)) % 106.98/107.23 (define @t223 () (>= @t222 @t216)) % 106.98/107.23 (define @t224 () (not @t75)) % 106.98/107.23 (define @t225 () (not @t210)) % 106.98/107.23 (define @t226 () (= @t58 @t76)) % 106.98/107.23 (define @t227 () (or @t226 @t225)) % 106.98/107.23 (define @t228 () (not @t226)) % 106.98/107.23 (define @t229 () (+ @t58 @t178)) % 106.98/107.23 (define @t230 () (= @t229 0)) % 106.98/107.23 (define @t231 () (+ 0 0 -1 1)) % 106.98/107.23 (define @t232 () (+ @t189 @t189 -1 1)) % 106.98/107.23 (define @t233 () (+ @t197 @t195 @t193 @t218)) % 106.98/107.23 (define @t234 () (* -1 @t229)) % 106.98/107.23 (define @t235 () (+ @t234 @t202 @t179 @t152)) % 106.98/107.23 (define @t236 () (>= @t235 @t232)) % 106.98/107.23 (define @t237 () (= (* 1 (- @t229 0)) (* 1 (- @t58 @t76)))) % 106.98/107.23 (define @t238 () (= @t230 @t226)) % 106.98/107.23 (define @t239 () (and @t154 @t181 @t117 @t226)) % 106.98/107.23 (define @t240 () (= @t95 @t180)) % 106.98/107.23 (define @t241 () (not @t240)) % 106.98/107.23 (define @t242 () (@quantifiers_skolemize @t94 0)) % 106.98/107.23 (define @t243 () (* -1 @t242)) % 106.98/107.23 (define @t244 () (+ @t56 @t243)) % 106.98/107.23 (define @t245 () (>= @t244 1)) % 106.98/107.23 (define @t246 () (not @t245)) % 106.98/107.23 (define @t247 () (tptp.model_max @t58 @t57 @t242)) % 106.98/107.23 (define @t248 () (not @t247)) % 106.98/107.23 (define @t249 () (or @t248 @t246)) % 106.98/107.23 (define @t250 () (not @t249)) % 106.98/107.23 (define @t251 () (not @t94)) % 106.98/107.23 (define @t252 () (+ @t85 @t242)) % 106.98/107.23 (define @t253 () (+ @t244 1)) % 106.98/107.23 (define @t254 () (+ @t242 @t85)) % 106.98/107.23 (define @t255 () (>= @t254 0)) % 106.98/107.23 (define @t256 () (or @t248 @t255)) % 106.98/107.23 (define @t257 () (not @t256)) % 106.98/107.23 (define @t258 () (+ @t242 @t178)) % 106.98/107.23 (define @t259 () (>= @t258 0)) % 106.98/107.23 (define @t260 () (= @t247 @t259)) % 106.98/107.23 (define @t261 () (>= @t244 0)) % 106.98/107.23 (define @t262 () (< @t244 0)) % 106.98/107.23 (define @t263 () (* 0 @t242)) % 106.98/107.23 (define @t264 () (+ @t263 @t193)) % 106.98/107.23 (define @t265 () (* -1 @t244)) % 106.98/107.23 (define @t266 () (+ @t244 @t265)) % 106.98/107.23 (define @t267 () (>= @t266 @t216)) % 106.98/107.23 (define @t268 () (<= 0 -1)) % 106.98/107.23 (define @t269 () (+ @t189 0 @t215 @t189)) % 106.98/107.23 (define @t270 () (= (+ @t242 @t243 0 @t56 @t85 0) 0)) % 106.98/107.23 (define @t271 () (+ @t242 @t243 @t195 @t56 @t85 @t191)) % 106.98/107.23 (define @t272 () (* -1 @t258)) % 106.98/107.23 (define @t273 () (* -1 @t157)) % 106.98/107.23 (define @t274 () (+ @t273 @t200 @t265 @t272)) % 106.98/107.23 (define @t275 () (not @t173)) % 106.98/107.23 (define @t276 () (+ @t189 @t215 @t189 0)) % 106.98/107.23 (define @t277 () (+ @t242 @t243 @t195 @t56 @t85 @t218)) % 106.98/107.23 (define @t278 () (* -1 @t163)) % 106.98/107.23 (define @t279 () (+ @t278 @t265 @t272 @t229)) % 106.98/107.23 (define @t280 () (and @t226 @t259 @t245 @t165)) % 106.98/107.23 (define @t281 () (not @t261)) % 106.98/107.23 (define @t282 () (not @t259)) % 106.98/107.23 (define @t283 () (+ 0 0 @t189 @t189 @t189)) % 106.98/107.23 (define @t284 () (+ @t242 @t243 @t195 @t56 @t73 @t85 @t57 @t218)) % 106.98/107.23 (define @t285 () (+ @t74 @t200 @t272 @t265 @t278)) % 106.98/107.23 (define @t286 () (>= @t285 @t283)) % 106.98/107.23 (define @t287 () (and @t165 @t261 @t259 @t77 @t225)) % 106.98/107.23 (define @t288 () (+ @t189 0 @t189)) % 106.98/107.23 (define @t289 () (= (+ 0 @t57 @t73 0) 0)) % 106.98/107.23 (define @t290 () (+ @t193 @t57 @t73 @t218)) % 106.98/107.23 (define @t291 () (+ @t273 @t163 @t221)) % 106.98/107.23 (define @t292 () (= @t291 @t290)) % 106.98/107.23 (define @t293 () (>= @t291 @t288)) % 106.98/107.23 (define @t294 () (@list false false)) % 106.98/107.23 (define @t295 () (@list @t96)) % 106.98/107.23 (define @t296 () (>= @t157 1)) % 106.98/107.23 (define @t297 () (+ -1 0 0)) % 106.98/107.23 (define @t298 () (+ @t215 0 @t189)) % 106.98/107.23 (define @t299 () (= (+ 0 @t56 @t85 0) 0)) % 106.98/107.23 (define @t300 () (+ @t195 @t56 @t85 @t191)) % 106.98/107.23 (define @t301 () (* -1 @t179)) % 106.98/107.23 (define @t302 () (+ @t273 @t200 @t301)) % 106.98/107.23 (define @t303 () (not @t296)) % 106.98/107.23 (define @t304 () (>= @t163 1)) % 106.98/107.23 (define @t305 () (not @t304)) % 106.98/107.23 (define @t306 () (and @t305 @t303)) % 106.98/107.23 (define @t307 () (not @t305)) % 106.98/107.23 (define @t308 () (>= @t200 1)) % 106.98/107.23 (define @t309 () (not @t308)) % 106.98/107.23 (define @t310 () (>= @t74 @t183)) % 106.98/107.23 (define @t311 () (<= @t74 0)) % 106.98/107.23 (define @t312 () (+ 0 @t189 1 @t215)) % 106.98/107.23 (define @t313 () (+ @t195 @t56 @t73 @t85 @t57 @t218)) % 106.98/107.23 (define @t314 () (+ @t74 @t301 @t200 @t278)) % 106.98/107.23 (define @t315 () (>= @t314 @t312)) % 106.98/107.23 (define @t316 () (and @t304 @t309 @t180 @t224)) % 106.98/107.23 (define @t317 () (+ @t215 0)) % 106.98/107.23 (define @t318 () (+ @t195 @t191)) % 106.98/107.23 (define @t319 () (+ @t201 @t200)) % 106.98/107.23 (define @t320 () (and @t308 @t77)) % 106.98/107.23 (define @t321 () (+ @t215 @t189 0)) % 106.98/107.23 (define @t322 () (+ @t195 @t56 @t85 @t218)) % 106.98/107.23 (define @t323 () (+ @t278 @t301 @t229)) % 106.98/107.23 (define @t324 () (+ @t215 1 @t189)) % 106.98/107.23 (define @t325 () (>= @t291 @t324)) % 106.98/107.23 (define @t326 () (tptp.ub @t58 @t57 @t56)) % 106.98/107.23 (define @t327 () (= @t326 @t306)) % 106.98/107.23 (define @t328 () (not @t326)) % 106.98/107.23 (define @t329 () (+ @t56 @t85)) % 106.98/107.23 (define @t330 () (>= @t329 1)) % 106.98/107.23 (define @t331 () (or @t328 @t330)) % 106.98/107.23 (define @t332 () (@list true false)) % 106.98/107.23 (define @t333 () (not @t88)) % 106.98/107.23 (define @t334 () (@quantifiers_skolemize @t88 0)) % 106.98/107.23 (define @t335 () (* -1 @t334)) % 106.98/107.23 (define @t336 () (+ @t56 @t335)) % 106.98/107.23 (define @t337 () (>= @t336 1)) % 106.98/107.23 (define @t338 () (not @t337)) % 106.98/107.23 (define @t339 () (tptp.model_ub @t58 @t57 @t334)) % 106.98/107.23 (define @t340 () (not @t339)) % 106.98/107.23 (define @t341 () (or @t340 @t338)) % 106.98/107.23 (define @t342 () (not @t341)) % 106.98/107.23 (define @t343 () (+ @t85 @t334)) % 106.98/107.23 (define @t344 () (+ @t336 1)) % 106.98/107.23 (define @t345 () (+ @t334 @t85)) % 106.98/107.23 (define @t346 () (>= @t345 0)) % 106.98/107.23 (define @t347 () (or @t340 @t346)) % 106.98/107.23 (define @t348 () (not @t347)) % 106.98/107.23 (define @t349 () (@list true)) % 106.98/107.23 (define @t350 () (forall @t26 (or @t101 (>= (+ @t14 @t335) 1)))) % 106.98/107.23 (define @t351 () (not @t350)) % 106.98/107.23 (define @t352 () (= @t339 @t351)) % 106.98/107.23 (define @t353 () (@quantifiers_skolemize @t350 0)) % 106.98/107.23 (define @t354 () (* -1 @t353)) % 106.98/107.23 (define @t355 () (+ @t334 @t354)) % 106.98/107.23 (define @t356 () (>= @t355 0)) % 106.98/107.23 (define @t357 () (not @t356)) % 106.98/107.23 (define @t358 () (tptp.ub @t58 @t57 @t353)) % 106.98/107.23 (define @t359 () (not @t358)) % 106.98/107.23 (define @t360 () (or @t359 @t357)) % 106.98/107.23 (define @t361 () (not @t360)) % 106.98/107.23 (define @t362 () (+ @t335 @t353)) % 106.98/107.23 (define @t363 () (+ @t355 1)) % 106.98/107.23 (define @t364 () (+ @t353 @t335)) % 106.98/107.23 (define @t365 () (>= @t364 1)) % 106.98/107.23 (define @t366 () (or @t359 @t365)) % 106.98/107.23 (define @t367 () (not @t366)) % 106.98/107.23 (define @t368 () (not @t359)) % 106.98/107.23 (define @t369 () (+ @t56 @t354)) % 106.98/107.23 (define @t370 () (>= @t369 1)) % 106.98/107.23 (define @t371 () (not @t370)) % 106.98/107.23 (define @t372 () (or @t359 @t371)) % 106.98/107.23 (define @t373 () (not @t372)) % 106.98/107.23 (define @t374 () (not @t371)) % 106.98/107.23 (define @t375 () (< @t369 1)) % 106.98/107.23 (define @t376 () (+ 1 @t189 @t215)) % 106.98/107.23 (define @t377 () (* 0 @t353)) % 106.98/107.23 (define @t378 () (= @t377 0)) % 106.98/107.23 (define @t379 () (+ @t377 @t334 @t335 @t193)) % 106.98/107.23 (define @t380 () (+ @t369 (* -1 @t355) (* -1 @t336))) % 106.98/107.23 (define @t381 () (>= @t380 @t376)) % 106.98/107.23 (define @t382 () (@list @t372)) % 106.98/107.23 (define @t383 () (+ @t57 @t354)) % 106.98/107.23 (define @t384 () (>= @t383 1)) % 106.98/107.23 (define @t385 () (not @t384)) % 106.98/107.23 (define @t386 () (+ @t58 @t354)) % 106.98/107.23 (define @t387 () (>= @t386 1)) % 106.98/107.23 (define @t388 () (not @t387)) % 106.98/107.23 (define @t389 () (and @t388 @t385)) % 106.98/107.23 (define @t390 () (= @t358 @t389)) % 106.98/107.23 (define @t391 () (not @t389)) % 106.98/107.23 (define @t392 () (@list @t389)) % 106.98/107.23 (define @t393 () (+ -1 @t56 @t178)) % 106.98/107.23 (define @t394 () (>= @t179 1)) % 106.98/107.23 (define @t395 () (+ @t178 @t56 -1)) % 106.98/107.23 (define @t396 () (+ @t106 @t178)) % 106.98/107.23 (define @t397 () (>= @t396 0)) % 106.98/107.23 (define @t398 () (tptp.model_max @t58 @t57 @t106)) % 106.98/107.23 (define @t399 () (= @t398 @t397)) % 106.98/107.23 (define @t400 () (forall @t23 (= @t21 @t80))) % 106.98/107.23 (define @t401 () (= @t398 @t394)) % 106.98/107.23 (define @t402 () (not @t398)) % 106.98/107.23 (define @t403 () (or @t402 @t111)) % 106.98/107.23 (define @t404 () (not @t394)) % 106.98/107.23 (define @t405 () (not @t404)) % 106.98/107.23 (define @t406 () (>= @t383 @t183)) % 106.98/107.23 (define @t407 () (<= @t383 0)) % 106.98/107.23 (define @t408 () (+ 0 @t189 @t215 1)) % 106.98/107.23 (define @t409 () (+ @t377 @t195 @t193 @t191)) % 106.98/107.23 (define @t410 () (* -1 @t369)) % 106.98/107.23 (define @t411 () (+ @t383 @t201 @t410 @t179)) % 106.98/107.23 (define @t412 () (>= @t411 @t408)) % 106.98/107.23 (define @t413 () (and @t404 @t370 @t77 @t385)) % 106.98/107.23 (define @t414 () (>= @t386 @t183)) % 106.98/107.23 (define @t415 () (<= @t386 0)) % 106.98/107.23 (define @t416 () (+ 0 @t215 1 @t189)) % 106.98/107.23 (define @t417 () (+ @t377 @t195 @t193 @t218)) % 106.98/107.23 (define @t418 () (+ @t386 @t410 @t179 @t234)) % 106.98/107.23 (define @t419 () (>= @t418 @t416)) % 106.98/107.23 (define @t420 () (and @t226 @t404 @t370 @t388)) % 106.98/107.23 (assume @p1 (forall @t4 (= @t3 (<= (tptp.summation @t2) (tptp.summation @t1))))) % 106.98/107.23 (assume @p2 @t9) % 106.98/107.23 (assume @p3 @t13) % 106.98/107.23 (assume @p4 @t19) % 106.98/107.23 (assume @p5 @t24) % 106.98/107.23 (assume @p6 @t30) % 106.98/107.23 (assume @p7 @t38) % 106.98/107.23 (assume @p8 @t45) % 106.98/107.23 (assume @p9 (not @t46)) % 106.98/107.23 (assume @p10 true) % 106.98/107.23 (step @p11 :rule bool-double-not-elim :args (@t48)) % 106.98/107.23 (step @p12 :rule refl :args (@t49)) % 106.98/107.23 (step @p13 :rule nary_cong :premises (@p12 @p11) :args ((or @t49 (not @t50)))) % 106.98/107.23 (step @p14 :rule bool-and-de-morgan :args (@t16 @t50 true)) % 106.98/107.23 (step @p15 :rule trans :premises (@p14 @p13)) % 106.98/107.23 (step @p16 :rule cong :premises (@p15) :args (@t52)) % 106.98/107.23 (step @p17 :rule cong :premises (@p16) :args (@t53)) % 106.98/107.23 (step @p18 :rule exists-elim :args ((= (exists @t26 @t51) @t53))) % 106.98/107.23 (step @p19 :rule trans :premises (@p18 @p17)) % 106.98/107.23 (step @p20 :rule arith_poly_norm :args ((= (* -1 (- @t14 @t54)) (* -1 (- @t47 1))))) % 106.98/107.23 (step @p21 :rule arith_poly_norm_rel :premises (@p20) :args ((= @t55 @t48))) % 106.98/107.23 (step @p22 :rule cong :premises (@p21) :args ((not @t55))) % 106.98/107.23 (step @p23 :rule arith-leq-norm :args (@t14 @t20)) % 106.98/107.23 (step @p24 :rule trans :premises (@p23 @p22)) % 106.98/107.23 (step @p25 :rule refl :args (@t16)) % 106.98/107.23 (step @p26 :rule nary_cong :premises (@p25 @p24) :args (@t25)) % 106.98/107.23 (step @p27 :rule cong :premises (@p26) :args (@t27)) % 106.98/107.23 (step @p28 :rule trans :premises (@p27 @p19)) % 106.98/107.23 (step @p29 :rule refl :args (@t28)) % 106.98/107.23 (step @p30 :rule cong :premises (@p29 @p28) :args (@t29)) % 106.98/107.23 (step @p31 :rule cong :premises (@p30) :args (@t30)) % 106.98/107.23 (step @p32 :rule eq_resolve :premises (@p6 @p31)) % 106.98/107.23 (step @p33 :rule instantiate :premises (@p32) :args (@t59)) % 106.98/107.23 (step @p34 :rule arith_poly_norm :args ((= (* -1 (- @t1 @t62)) (* -1 (- @t61 1))))) % 106.98/107.23 (step @p35 :rule arith_poly_norm_rel :premises (@p34) :args ((= @t64 @t63))) % 106.98/107.23 (step @p36 :rule cong :premises (@p35) :args ((not @t64))) % 106.98/107.23 (step @p37 :rule arith-leq-norm :args (@t1 @t14)) % 106.98/107.23 (step @p38 :rule trans :premises (@p37 @p36)) % 106.98/107.23 (step @p39 :rule arith_poly_norm :args ((= (* -1 (- @t2 @t62)) (* -1 (- @t65 1))))) % 106.98/107.23 (step @p40 :rule arith_poly_norm_rel :premises (@p39) :args ((= @t67 @t66))) % 106.98/107.23 (step @p41 :rule cong :premises (@p40) :args ((not @t67))) % 106.98/107.23 (step @p42 :rule arith-leq-norm :args (@t2 @t14)) % 106.98/107.23 (step @p43 :rule trans :premises (@p42 @p41)) % 106.98/107.23 (step @p44 :rule nary_cong :premises (@p43 @p38) :args (@t15)) % 106.98/107.23 (step @p45 :rule cong :premises (@p25 @p44) :args (@t17)) % 106.98/107.23 (step @p46 :rule cong :premises (@p45) :args (@t19)) % 106.98/107.23 (step @p47 :rule eq_resolve :premises (@p4 @p46)) % 106.98/107.23 (step @p48 :rule instantiate :premises (@p47) :args (@t59)) % 106.98/107.23 (step @p49 :rule bool-double-not-elim :args (@t69)) % 106.98/107.23 (step @p50 :rule arith_poly_norm :args ((= (* -1 (- @t2 @t70)) (* -1 (- @t68 1))))) % 106.98/107.23 (step @p51 :rule arith_poly_norm_rel :premises (@p50) :args ((= @t71 @t69))) % 106.98/107.23 (step @p52 :rule cong :premises (@p51) :args ((not @t71))) % 106.98/107.23 (step @p53 :rule arith-leq-norm :args (@t2 @t1)) % 106.98/107.23 (step @p54 :rule trans :premises (@p53 @p52)) % 106.98/107.23 (step @p55 :rule cong :premises (@p54) :args (@t10)) % 106.98/107.23 (step @p56 :rule trans :premises (@p55 @p49)) % 106.98/107.23 (step @p57 :rule arith_poly_norm :args ((= (* 1 (- @t6 @t1)) (* -1 (- @t1 @t6))))) % 106.98/107.23 (step @p58 :rule arith_poly_norm_rel :premises (@p57) :args ((= @t11 (= @t1 @t6)))) % 106.98/107.23 (step @p59 :rule nary_cong :premises (@p58 @p56) :args (@t12)) % 106.98/107.23 (step @p60 :rule cong :premises (@p59) :args (@t13)) % 106.98/107.23 (step @p61 :rule eq_resolve :premises (@p3 @p60)) % 106.98/107.23 (step @p62 :rule instantiate :premises (@p61) :args (@t72)) % 106.98/107.23 (step @p63 :rule cnf_or_pos :args (@t78)) % 106.98/107.23 (step @p64 :rule reordering :premises (@p63) :args ((or @t77 @t75 (not @t78)))) % 106.98/107.23 (step @p65 :rule arith_poly_norm :args ((= (* -1 (- @t20 @t6)) (* -1 (- @t79 0))))) % 106.98/107.23 (step @p66 :rule arith_poly_norm_rel :premises (@p65) :args ((= (>= @t20 @t6) @t80))) % 106.98/107.23 (step @p67 :rule arith-elim-leq :args (@t6 @t20)) % 106.98/107.23 (step @p68 :rule trans :premises (@p67 @p66)) % 106.98/107.23 (step @p69 :rule refl :args (@t21)) % 106.98/107.23 (step @p70 :rule cong :premises (@p69 @p68) :args (@t22)) % 106.98/107.23 (step @p71 :rule cong :premises (@p70) :args (@t24)) % 106.98/107.23 (step @p72 :rule eq_resolve :premises (@p5 @p71)) % 106.98/107.23 (step @p73 :rule instantiate :premises (@p72) :args (@t59)) % 106.98/107.23 (step @p74 :rule bool-impl-elim :args (@t32 @t81)) % 106.98/107.23 (step @p75 :rule cong :premises (@p74) :args ((forall @t26 (=> @t32 @t81)))) % 106.98/107.23 (step @p76 :rule arith_poly_norm :args ((= (* 1 (- @t14 @t20)) (* 1 (- @t47 0))))) % 106.98/107.23 (step @p77 :rule arith_poly_norm_rel :premises (@p76) :args ((= (>= @t14 @t20) @t81))) % 106.98/107.23 (step @p78 :rule arith-elim-leq :args (@t20 @t14)) % 106.98/107.23 (step @p79 :rule trans :premises (@p78 @p77)) % 106.98/107.23 (step @p80 :rule refl :args (@t32)) % 106.98/107.23 (step @p81 :rule cong :premises (@p80 @p79) :args (@t33)) % 106.98/107.23 (step @p82 :rule cong :premises (@p81) :args (@t34)) % 106.98/107.23 (step @p83 :rule trans :premises (@p82 @p75)) % 106.98/107.23 (step @p84 :rule nary_cong :premises (@p69 @p83) :args (@t35)) % 106.98/107.23 (step @p85 :rule refl :args (@t36)) % 106.98/107.23 (step @p86 :rule cong :premises (@p85 @p84) :args (@t37)) % 106.98/107.23 (step @p87 :rule cong :premises (@p86) :args (@t38)) % 106.98/107.23 (step @p88 :rule eq_resolve :premises (@p7 @p87)) % 106.98/107.23 (step @p89 :rule instantiate :premises (@p88) :args (@t59)) % 106.98/107.23 (step @p90 :rule skolemize :premises (@p9)) % 106.98/107.23 (step @p91 :rule cnf_equiv_neg2 :args (@t84)) % 106.98/107.23 (step @p92 :rule bool-impl-elim :args (@t39 @t81)) % 106.98/107.23 (step @p93 :rule cong :premises (@p92) :args ((forall @t26 (=> @t39 @t81)))) % 106.98/107.23 (step @p94 :rule refl :args (@t39)) % 106.98/107.23 (step @p95 :rule cong :premises (@p94 @p79) :args (@t40)) % 106.98/107.23 (step @p96 :rule cong :premises (@p95) :args (@t41)) % 106.98/107.23 (step @p97 :rule trans :premises (@p96 @p93)) % 106.98/107.23 (step @p98 :rule nary_cong :premises (@p29 @p97) :args (@t42)) % 106.98/107.23 (step @p99 :rule refl :args (@t43)) % 106.98/107.23 (step @p100 :rule cong :premises (@p99 @p98) :args (@t44)) % 106.98/107.23 (step @p101 :rule cong :premises (@p100) :args (@t45)) % 106.98/107.23 (step @p102 :rule eq_resolve :premises (@p8 @p101)) % 106.98/107.23 (step @p103 :rule instantiate :premises (@p102) :args (@t59)) % 106.98/107.23 (step @p104 :rule cnf_equiv_pos1 :args (@t91)) % 106.98/107.23 (step @p105 :rule reordering :premises (@p104) :args ((or @t93 @t90 @t92))) % 106.98/107.23 (step @p106 :rule cnf_equiv_pos2 :args (@t97)) % 106.98/107.23 (step @p107 :rule reordering :premises (@p106) :args ((or @t82 @t99 @t98))) % 106.98/107.23 (step @p108 :rule cnf_and_pos :args (@t90 0)) % 106.98/107.23 (step @p109 :rule reordering :premises (@p108) :args ((or @t89 @t100))) % 106.98/107.23 (step @p110 :rule cnf_and_pos :args (@t90 1)) % 106.98/107.23 (step @p111 :rule reordering :premises (@p110) :args ((or @t88 @t100))) % 106.98/107.23 (step @p112 :rule cnf_equiv_pos1 :args (@t104)) % 106.98/107.23 (step @p113 :rule reordering :premises (@p112) :args ((or (not @t89) @t103 @t105))) % 106.98/107.23 (step @p114 :rule aci_norm :args ((= (or @t108 false) @t108))) % 106.98/107.23 (step @p115 :rule evaluate :args ((>= -1 0))) % 106.98/107.23 (step @p116 :rule refl :args (0)) % 106.98/107.23 (step @p117 :rule arith_poly_norm :args ((= @t109 -1))) % 106.98/107.23 (step @p118 :rule arith_poly_norm :args ((= @t110 @t109))) % 106.98/107.23 (step @p119 :rule trans :premises (@p118 @p117)) % 106.98/107.23 (step @p120 :rule cong :premises (@p119 @p116) :args (@t111)) % 106.98/107.23 (step @p121 :rule trans :premises (@p120 @p115)) % 106.98/107.23 (step @p122 :rule refl :args (@t108)) % 106.98/107.23 (step @p123 :rule nary_cong :premises (@p122 @p121) :args (@t112)) % 106.98/107.23 (step @p124 :rule trans :premises (@p123 @p114)) % 106.98/107.23 (step @p125 :rule refl :args (@t88)) % 106.98/107.23 (step @p126 :rule cong :premises (@p125 @p124) :args ((=> @t88 @t112))) % 106.98/107.23 (assume-push @p1319 @t88) % 106.98/107.23 (step @p128 :rule instantiate :premises (@p1319) :args (@t113)) % 106.98/107.23 (step-pop @p1320 :rule scope :premises (@p128)) % 106.98/107.23 (step @p129 :rule process_scope :premises (@p1320) :args (@t112)) % 106.98/107.23 (step @p131 :rule eq_resolve :premises (@p129 @p126)) % 106.98/107.23 (step @p132 :rule implies_elim :premises (@p131)) % 106.98/107.23 (step @p133 :rule refl :args (@t122)) % 106.98/107.23 (step @p134 :rule bool-double-not-elim :args (@t102)) % 106.98/107.23 (step @p135 :rule nary_cong :premises (@p134 @p133) :args ((or @t123 @t122))) % 106.98/107.23 (step @p136 :rule arith_poly_norm :args ((= (* -1 (- 0 @t125)) (* -1 (- @t124 1))))) % 106.98/107.23 (step @p137 :rule arith_poly_norm_rel :premises (@p136) :args ((= (>= 0 @t125) (>= @t124 1)))) % 106.98/107.23 (step @p138 :rule arith-geq-tighten :args (@t116 0)) % 106.98/107.23 (step @p139 :rule trans :premises (@p138 @p137)) % 106.98/107.23 (step @p140 :rule 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(assume-push @p1501 @t404) % 106.98/107.23 (assume-push @p1502 @t370) % 106.98/107.23 (assume-push @p1503 @t77) % 106.98/107.23 (assume-push @p1504 @t385) % 106.98/107.23 (step @p1176 :rule arith-elim-leq :args (@t383 0)) % 106.98/107.23 (step @p1177 :rule symm :premises (@p1176)) % 106.98/107.23 (step @p1178 :rule cong :premises (@p1177) :args ((not (>= 0 @t383)))) % 106.98/107.23 (step @p1179 :rule arith-elim-gt :args (@t383 0)) % 106.98/107.23 (step @p1180 :rule trans :premises (@p1179 @p1178)) % 106.98/107.23 (step @p263 :rule evaluate :args (@t183)) % 106.98/107.23 (step @p1181 :rule refl :args (@t383)) % 106.98/107.23 (step @p1182 :rule cong :premises (@p1181 @p263) :args (@t406)) % 106.98/107.23 (step @p1183 :rule cong :premises (@p1182) :args ((not @t406))) % 106.98/107.23 (step @p1184 :rule arith-leq-norm :args (@t383 0)) % 106.98/107.23 (step @p1185 :rule trans :premises (@p1184 @p1183)) % 106.98/107.23 (step @p1186 :rule cong :premises (@p1185) :args ((not @t407))) % 106.98/107.23 (step @p1187 :rule trans :premises (@p1186 @p1170)) % 106.98/107.23 (step @p1188 :rule trans :premises (@p1180 @p1187)) % 106.98/107.23 (step @p1189 :rule symm :premises (@p1188)) % 106.98/107.23 (step @p1190 :rule trans :premises (@p1187 @p1189)) % 106.98/107.23 (assume-push @p1505 @t407) % 106.98/107.23 (step @p275 :rule evaluate :args (@t186)) % 106.98/107.23 (step @p276 :rule evaluate :args (@t187)) % 106.98/107.23 (step @p401 :rule evaluate :args (@t231)) % 106.98/107.23 (step @p350 :rule evaluate :args (@t215)) % 106.98/107.23 (step @p278 :rule evaluate :args (@t189)) % 106.98/107.23 (step @p1192 :rule nary_cong :premises (@p116 @p278 @p350 @p141) :args (@t408)) % 106.98/107.23 (step @p1193 :rule trans :premises (@p1192 @p401)) % 106.98/107.23 (step @p277 :rule evaluate :args (@t188)) % 106.98/107.23 (step @p281 :rule arith_poly_norm :args (@t192)) % 106.98/107.23 (step @p282 :rule arith_poly_norm :args (@t194)) % 106.98/107.23 (step @p283 :rule arith_poly_norm :args (@t196)) % 106.98/107.23 (step @p1076 :rule arith_poly_norm :args (@t378)) % 106.98/107.23 (step @p1194 :rule nary_cong :premises (@p1076 @p283 @p282 @p281) :args (@t409)) % 106.98/107.23 (step @p1195 :rule trans :premises (@p1194 @p277)) % 106.98/107.23 (step @p1196 :rule arith_poly_norm :args ((= @t411 @t409))) % 106.98/107.23 (step @p1197 :rule trans :premises (@p1196 @p1195)) % 106.98/107.23 (step @p1198 :rule cong :premises (@p1197 @p1193) :args (@t412)) % 106.98/107.23 (step @p1199 :rule trans :premises (@p1198 @p276)) % 106.98/107.23 (step @p1200 :rule cong :premises (@p1199) :args ((not @t412))) % 106.98/107.23 (step @p1201 :rule trans :premises (@p1200 @p275)) % 106.98/107.23 (step @p1202 :rule arith-elim-lt :args (@t411 @t408)) % 106.98/107.23 (step @p1203 :rule trans :premises (@p1202 @p1201)) % 106.98/107.23 (step @p1204 :rule arith-elim-lt :args (@t179 1)) % 106.98/107.23 (step @p1205 :rule symm :premises (@p1204)) % 106.98/107.23 (step @p1206 :rule eq_resolve :premises (@p1501 @p1205)) % 106.98/107.23 (step @p1207 :rule arith_mult_neg :args (-1 @t370)) % 106.98/107.23 (step @p300 :rule evaluate :args (@t208)) % 106.98/107.23 (step @p301 :rule true_elim :premises (@p300)) % 106.98/107.23 (step @p1208 :rule and_intro :premises (@p301 @p1502)) % 106.98/107.23 (step @p1209 :rule modus_ponens :premises (@p1208 @p1207)) % 106.98/107.23 (step @p295 :rule arith_mult_neg :args (-1 @t205)) % 106.98/107.23 (step @p296 :rule arith_poly_norm :args (@t206)) % 106.98/107.23 (step @p297 :rule arith_poly_norm_rel :premises (@p296) :args (@t207)) % 106.98/107.23 (step @p298 :rule symm :premises (@p297)) % 106.98/107.23 (step @p1210 :rule eq_resolve :premises (@p1503 @p298)) % 106.98/107.23 (step @p1211 :rule and_intro :premises (@p301 @p1210)) % 106.98/107.23 (step @p1212 :rule modus_ponens :premises (@p1211 @p295)) % 106.98/107.23 (step @p1213 :rule arith_sum_ub :premises (@p1505 @p1212 @p1209 @p1206)) % 106.98/107.23 (step @p1214 false :rule eq_resolve :premises (@p1213 @p1203)) % 106.98/107.23 (step-pop @p1506 :rule scope :premises (@p1214)) % 106.98/107.23 (step @p1215 :rule process_scope :premises (@p1506) :args (false)) % 106.98/107.23 (step @p1217 :rule eq_resolve :premises (@p1215 @p1190)) % 106.98/107.23 (step @p1218 :rule eq_resolve :premises (@p1217 @p1180)) % 106.98/107.23 (step @p1219 :rule arith-elim-lt :args (@t383 1)) % 106.98/107.23 (step @p1220 :rule symm :premises (@p1219)) % 106.98/107.23 (step @p1221 :rule eq_resolve :premises (@p1504 @p1220)) % 106.98/107.23 (step @p1222 :rule int_tight_ub :premises (@p1221)) % 106.98/107.23 (step @p1223 false :rule contra :premises (@p1222 @p1218)) % 106.98/107.23 (step-pop @p1507 :rule scope :premises (@p1223)) % 106.98/107.23 (step-pop @p1508 :rule scope :premises (@p1507)) % 106.98/107.23 (step-pop @p1509 :rule scope :premises (@p1508)) % 106.98/107.23 (step-pop @p1510 :rule scope :premises (@p1509)) % 106.98/107.23 (step @p1224 :rule process_scope :premises (@p1510) :args (false)) % 106.98/107.23 (assume-push @p1511 @t77) % 106.98/107.23 (assume-push @p1512 @t385) % 106.98/107.23 (assume-push @p1513 @t370) % 106.98/107.23 (assume-push @p1514 @t404) % 106.98/107.23 (step @p1233 :rule and_intro :premises (@p1514 @p1513 @p1511 @p1512)) % 106.98/107.23 (step-pop @p1515 :rule scope :premises (@p1233)) % 106.98/107.23 (step-pop @p1516 :rule scope :premises (@p1515)) % 106.98/107.23 (step-pop @p1517 :rule scope :premises (@p1516)) % 106.98/107.23 (step-pop @p1518 :rule scope :premises (@p1517)) % 106.98/107.23 (step @p1234 :rule process_scope :premises (@p1518) :args (@t413)) % 106.98/107.23 (step @p1239 :rule implies_elim :premises (@p1234)) % 106.98/107.23 (step @p1240 :rule resolution :premises (@p1239 @p1224) :args (true @t413)) % 106.98/107.23 (step @p1241 :rule not_and :premises (@p1240)) % 106.98/107.23 (step @p1242 :rule eq_resolve :premises (@p1241 @p1171)) % 106.98/107.23 (step @p1243 :rule chain_m_resolution :premises (@p1242 @p1167 @p1115 @p1164) :args (@t177 (@list true false true) (@list @t384 @t370 @t394))) % 106.98/107.23 (step @p1244 :rule chain_m_resolution :premises (@p64 @p1243 @p62) :args (@t75 @t332 (@list @t77 @t78))) % 106.98/107.23 (step @p1245 :rule chain_m_resolution :premises (@p379 @p1244) :args (@t210 @t144 (@list @t75))) % 106.98/107.23 (step @p1246 :rule chain_m_resolution :premises (@p392 @p1245 @p390) :args (@t226 @t294 (@list @t210 @t227))) % 106.98/107.23 (step @p1247 :rule bool-double-not-elim :args (@t387)) % 106.98/107.23 (step @p1248 :rule nary_cong :premises (@p394 @p1247 @p1169 @p1168) :args ((or @t228 (not @t388) @t371 @t405))) % 106.98/107.23 (assume-push @p1519 @t226) % 106.98/107.23 (assume-push @p1520 @t404) % 106.98/107.23 (assume-push @p1521 @t370) % 106.98/107.23 (assume-push @p1522 @t388) % 106.98/107.23 (step @p1253 :rule arith-elim-leq :args (@t386 0)) % 106.98/107.23 (step @p1254 :rule symm :premises (@p1253)) % 106.98/107.23 (step @p1255 :rule cong :premises (@p1254) :args ((not (>= 0 @t386)))) % 106.98/107.23 (step @p1256 :rule arith-elim-gt :args (@t386 0)) % 106.98/107.23 (step @p1257 :rule trans :premises (@p1256 @p1255)) % 106.98/107.23 (step @p263 :rule evaluate :args (@t183)) % 106.98/107.23 (step @p1258 :rule refl :args (@t386)) % 106.98/107.23 (step @p1259 :rule cong :premises (@p1258 @p263) :args (@t414)) % 106.98/107.23 (step @p1260 :rule cong :premises (@p1259) :args ((not @t414))) % 106.98/107.23 (step @p1261 :rule arith-leq-norm :args (@t386 0)) % 106.98/107.23 (step @p1262 :rule trans :premises (@p1261 @p1260)) % 106.98/107.23 (step @p1263 :rule cong :premises (@p1262) :args ((not @t415))) % 106.98/107.23 (step @p1264 :rule trans :premises (@p1263 @p1247)) % 106.98/107.23 (step @p1265 :rule trans :premises (@p1257 @p1264)) % 106.98/107.23 (step @p1266 :rule symm :premises (@p1265)) % 106.98/107.23 (step @p1267 :rule trans :premises (@p1264 @p1266)) % 106.98/107.23 (assume-push @p1523 @t415) % 106.98/107.23 (step @p275 :rule evaluate :args (@t186)) % 106.98/107.23 (step @p276 :rule evaluate :args (@t187)) % 106.98/107.23 (step @p1269 :rule evaluate :args ((+ 0 -1 1 0))) % 106.98/107.23 (step @p278 :rule evaluate :args (@t189)) % 106.98/107.23 (step @p350 :rule evaluate :args (@t215)) % 106.98/107.23 (step @p1270 :rule nary_cong :premises (@p116 @p350 @p141 @p278) :args (@t416)) % 106.98/107.23 (step @p1271 :rule trans :premises (@p1270 @p1269)) % 106.98/107.23 (step @p277 :rule evaluate :args (@t188)) % 106.98/107.23 (step @p354 :rule arith_poly_norm :args (@t219)) % 106.98/107.23 (step @p282 :rule arith_poly_norm :args (@t194)) % 106.98/107.23 (step @p283 :rule arith_poly_norm :args (@t196)) % 106.98/107.23 (step @p1076 :rule arith_poly_norm :args (@t378)) % 106.98/107.23 (step @p1272 :rule nary_cong :premises (@p1076 @p283 @p282 @p354) :args (@t417)) % 106.98/107.23 (step @p1273 :rule trans :premises (@p1272 @p277)) % 106.98/107.23 (step @p1274 :rule arith_poly_norm :args ((= @t418 @t417))) % 106.98/107.23 (step @p1275 :rule trans :premises (@p1274 @p1273)) % 106.98/107.23 (step @p1276 :rule cong :premises (@p1275 @p1271) :args (@t419)) % 106.98/107.23 (step @p1277 :rule trans :premises (@p1276 @p276)) % 106.98/107.23 (step @p1278 :rule cong :premises (@p1277) :args ((not @t419))) % 106.98/107.23 (step @p1279 :rule trans :premises (@p1278 @p275)) % 106.98/107.23 (step @p1280 :rule arith-elim-lt :args (@t418 @t416)) % 106.98/107.23 (step @p1281 :rule trans :premises (@p1280 @p1279)) % 106.98/107.23 (step @p422 :rule arith_mult_neg :args (-1 @t230)) % 106.98/107.23 (step @p429 :rule arith_poly_norm :args (@t237)) % 106.98/107.23 (step @p430 :rule arith_poly_norm_rel :premises (@p429) :args (@t238)) % 106.98/107.23 (step @p431 :rule symm :premises (@p430)) % 106.98/107.23 (step @p1282 :rule eq_resolve :premises (@p1519 @p431)) % 106.98/107.23 (step @p300 :rule evaluate :args (@t208)) % 106.98/107.23 (step @p301 :rule true_elim :premises (@p300)) % 106.98/107.23 (step @p1283 :rule and_intro :premises (@p301 @p1282)) % 106.98/107.23 (step @p1284 :rule modus_ponens :premises (@p1283 @p422)) % 106.98/107.23 (step @p1204 :rule arith-elim-lt :args (@t179 1)) % 106.98/107.23 (step @p1205 :rule symm :premises (@p1204)) % 106.98/107.23 (step @p1285 :rule eq_resolve :premises (@p1520 @p1205)) % 106.98/107.23 (step @p1207 :rule arith_mult_neg :args (-1 @t370)) % 106.98/107.23 (step @p1286 :rule and_intro :premises (@p301 @p1521)) % 106.98/107.23 (step @p1287 :rule modus_ponens :premises (@p1286 @p1207)) % 106.98/107.23 (step @p1288 :rule arith_sum_ub :premises (@p1523 @p1287 @p1285 @p1284)) % 106.98/107.23 (step @p1289 false :rule eq_resolve :premises (@p1288 @p1281)) % 106.98/107.23 (step-pop @p1524 :rule scope :premises (@p1289)) % 106.98/107.23 (step @p1290 :rule process_scope :premises (@p1524) :args (false)) % 106.98/107.23 (step @p1292 :rule eq_resolve :premises (@p1290 @p1267)) % 106.98/107.23 (step @p1293 :rule eq_resolve :premises (@p1292 @p1257)) % 106.98/107.23 (step @p1294 :rule arith-elim-lt :args (@t386 1)) % 106.98/107.23 (step @p1295 :rule symm :premises (@p1294)) % 106.98/107.23 (step @p1296 :rule eq_resolve :premises (@p1522 @p1295)) % 106.98/107.23 (step @p1297 :rule int_tight_ub :premises (@p1296)) % 106.98/107.23 (step @p1298 false :rule contra :premises (@p1297 @p1293)) % 106.98/107.23 (step-pop @p1525 :rule scope :premises (@p1298)) % 106.98/107.23 (step-pop @p1526 :rule scope :premises (@p1525)) % 106.98/107.23 (step-pop @p1527 :rule scope :premises (@p1526)) % 106.98/107.23 (step-pop @p1528 :rule scope :premises (@p1527)) % 106.98/107.23 (step @p1299 :rule process_scope :premises (@p1528) :args (false)) % 106.98/107.23 (assume-push @p1529 @t226) % 106.98/107.23 (assume-push @p1530 @t388) % 106.98/107.23 (assume-push @p1531 @t370) % 106.98/107.23 (assume-push @p1532 @t404) % 106.98/107.23 (step @p1308 :rule and_intro :premises (@p1529 @p1532 @p1531 @p1530)) % 106.98/107.23 (step-pop @p1533 :rule scope :premises (@p1308)) % 106.98/107.23 (step-pop @p1534 :rule scope :premises (@p1533)) % 106.98/107.23 (step-pop @p1535 :rule scope :premises (@p1534)) % 106.98/107.23 (step-pop @p1536 :rule scope :premises (@p1535)) % 106.98/107.23 (step @p1309 :rule process_scope :premises (@p1536) :args (@t420)) % 106.98/107.23 (step @p1314 :rule implies_elim :premises (@p1309)) % 106.98/107.23 (step @p1315 :rule resolution :premises (@p1314 @p1299) :args (true @t420)) % 106.98/107.23 (step @p1316 :rule not_and :premises (@p1315)) % 106.98/107.23 (step @p1317 :rule eq_resolve :premises (@p1316 @p1248)) % 106.98/107.23 (step @p1318 false :rule chain_m_resolution :premises (@p1317 @p1246 @p1164 @p1127 @p1115) :args (false (@list false true true false) (@list @t226 @t394 @t387 @t370))) % 106.98/107.23 ) % 106.98/107.23 % SZS output end Proof % 106.98/107.23 % cvc5 exiting %------------------------------------------------------------------------------