%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : ARI628_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 : n009.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 08:08:00 AM UTC 2026 % Result : Theorem 0.51s 0.72s % Output : Proof 0.51s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.12/0.13 % Problem : ARI628_1 : TPTP v9.2.1. Released v6.3.0. % 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 : n009.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 : Wed Jun 3 02:30:14 EDT 2026 % 0.18/0.35 % CPUTime : % 0.21/0.49 %----Proving TF0_ARI % 0.51/0.72 --- Run --finite-model-find --decision=internal at 45... % 0.51/0.72 % SZS status Theorem % 0.51/0.72 % SZS output start Proof % 0.51/0.72 ( % 0.51/0.72 (declare-const tptp.y Real) % 0.51/0.72 (declare-const tptp.x Real) % 0.51/0.72 (declare-const tptp.v Real) % 0.51/0.72 (declare-const tptp.u Real) % 0.51/0.72 (define @t1 () (> tptp.u 0/1)) % 0.51/0.72 (define @t2 () (< tptp.v 1/1)) % 0.51/0.72 (define @t3 () (>= tptp.x 2/1)) % 0.51/0.72 (define @t4 () (<= tptp.x tptp.y)) % 0.51/0.72 (define @t5 () (* tptp.y tptp.y)) % 0.51/0.72 (define @t6 () (* @t5 tptp.v)) % 0.51/0.72 (define @t7 () (* tptp.u tptp.u)) % 0.51/0.72 (define @t8 () (* 2/1 @t7)) % 0.51/0.72 (define @t9 () (* @t8 tptp.x)) % 0.51/0.72 (define @t10 () (not (< @t9 @t6))) % 0.51/0.72 (define @t11 () (* -1/1 tptp.u)) % 0.51/0.72 (define @t12 () (>= @t11 0/1)) % 0.51/0.72 (define @t13 () (>= 0/1 tptp.u)) % 0.51/0.72 (define @t14 () (* -1/1 tptp.v)) % 0.51/0.72 (define @t15 () (+ @t14 tptp.u)) % 0.51/0.72 (define @t16 () (* -1/1 (- @t15 0/1))) % 0.51/0.72 (define @t17 () (>= @t15 0/1)) % 0.51/0.72 (define @t18 () (>= tptp.u tptp.v)) % 0.51/0.72 (define @t19 () (= @t18 @t17)) % 0.51/0.72 (define @t20 () (not @t18)) % 0.51/0.72 (define @t21 () (>= @t14 0/1)) % 0.51/0.72 (define @t22 () (not @t21)) % 0.51/0.72 (define @t23 () (not @t17)) % 0.51/0.72 (define @t24 () (not @t23)) % 0.51/0.72 (define @t25 () (not @t12)) % 0.51/0.72 (define @t26 () (not @t25)) % 0.51/0.72 (define @t27 () (>= 0/1 tptp.v)) % 0.51/0.72 (define @t28 () (not @t27)) % 0.51/0.72 (define @t29 () (= (* -1/1 (- 0/1 tptp.v)) (* -1/1 (- @t14 0/1)))) % 0.51/0.72 (define @t30 () (= @t27 @t21)) % 0.51/0.72 (define @t31 () (<= tptp.v 0/1)) % 0.51/0.72 (define @t32 () (not @t31)) % 0.51/0.72 (define @t33 () (not true)) % 0.51/0.72 (define @t34 () (>= 0/1 0/1)) % 0.51/0.72 (define @t35 () (+ 0/1 0/1 0/1)) % 0.51/0.72 (define @t36 () (* -1/1 0/1)) % 0.51/0.72 (define @t37 () (+ 0/1 @t36 @t36)) % 0.51/0.72 (define @t38 () (= (+ tptp.v @t11 @t15) 0/1)) % 0.51/0.72 (define @t39 () (+ tptp.v @t11)) % 0.51/0.72 (define @t40 () (* -1/1 @t39)) % 0.51/0.72 (define @t41 () (= @t40 @t15)) % 0.51/0.72 (define @t42 () (+ tptp.v @t11 @t40)) % 0.51/0.72 (define @t43 () (>= @t42 @t37)) % 0.51/0.72 (define @t44 () (> @t39 0/1)) % 0.51/0.72 (define @t45 () (= (* -1/1 (- 0/1 @t39)) @t16)) % 0.51/0.72 (define @t46 () (>= 0/1 @t39)) % 0.51/0.72 (define @t47 () (= @t46 @t17)) % 0.51/0.72 (define @t48 () (not (<= @t39 0/1))) % 0.51/0.72 (define @t49 () (not @t46)) % 0.51/0.72 (define @t50 () (< -1/1 0/1)) % 0.51/0.72 (define @t51 () (and @t23 @t25 @t21)) % 0.51/0.72 (define @t52 () (@list true true)) % 0.51/0.72 (define @t53 () (>= tptp.v 0/1)) % 0.51/0.72 (define @t54 () (not @t53)) % 0.51/0.72 (define @t55 () (not @t22)) % 0.51/0.72 (define @t56 () (< tptp.v 0/1)) % 0.51/0.72 (define @t57 () (+ 0/1 0/1)) % 0.51/0.72 (define @t58 () (+ 0/1 @t36)) % 0.51/0.72 (define @t59 () (+ tptp.v @t14)) % 0.51/0.72 (define @t60 () (= @t59 0/1)) % 0.51/0.72 (define @t61 () (>= @t59 @t58)) % 0.51/0.72 (define @t62 () (not @t61)) % 0.51/0.72 (define @t63 () (> tptp.v 0/1)) % 0.51/0.72 (define @t64 () (and @t54 @t22)) % 0.51/0.72 (define @t65 () (@list true)) % 0.51/0.72 (define @t66 () (@list @t21)) % 0.51/0.72 (define @t67 () (* -1/1 tptp.x)) % 0.51/0.72 (define @t68 () (+ tptp.y @t67)) % 0.51/0.72 (define @t69 () (>= @t68 0/1)) % 0.51/0.72 (define @t70 () (* -1/1 tptp.y)) % 0.51/0.72 (define @t71 () (>= @t70 -1/1)) % 0.51/0.72 (define @t72 () (* -1/1 2/1)) % 0.51/0.72 (define @t73 () (+ 1/1 @t36 @t72)) % 0.51/0.72 (define @t74 () (+ @t70 tptp.x)) % 0.51/0.72 (define @t75 () (* -1/1 @t68)) % 0.51/0.72 (define @t76 () (= @t75 @t74)) % 0.51/0.72 (define @t77 () (+ tptp.y @t75 @t67)) % 0.51/0.72 (define @t78 () (= (* 1/1 (- 1/1 tptp.y)) (* 1/1 (- @t70 -1/1)))) % 0.51/0.72 (define @t79 () (>= 1/1 tptp.y)) % 0.51/0.72 (define @t80 () (= @t79 @t71)) % 0.51/0.72 (define @t81 () (not @t71)) % 0.51/0.72 (define @t82 () (not @t69)) % 0.51/0.72 (define @t83 () (not @t3)) % 0.51/0.72 (define @t84 () (@list false false)) % 0.51/0.72 (define @t85 () (>= @t70 0/1)) % 0.51/0.72 (define @t86 () (not @t85)) % 0.51/0.72 (define @t87 () (not @t81)) % 0.51/0.72 (define @t88 () (= (* -1/1 (- 0/1 tptp.y)) (* -1/1 (- @t70 0/1)))) % 0.51/0.72 (define @t89 () (>= 0/1 tptp.y)) % 0.51/0.72 (define @t90 () (= @t89 @t85)) % 0.51/0.72 (define @t91 () (<= tptp.y 0/1)) % 0.51/0.72 (define @t92 () (not @t91)) % 0.51/0.72 (define @t93 () (not @t89)) % 0.51/0.72 (define @t94 () (> tptp.y 0/1)) % 0.51/0.72 (define @t95 () (>= 0/1 -1/1)) % 0.51/0.72 (define @t96 () (+ 0/1 -1/1)) % 0.51/0.72 (define @t97 () (* -1/1 1/1)) % 0.51/0.72 (define @t98 () (+ 0/1 @t97)) % 0.51/0.72 (define @t99 () (+ tptp.y @t70)) % 0.51/0.72 (define @t100 () (= @t99 0/1)) % 0.51/0.72 (define @t101 () (>= @t99 @t98)) % 0.51/0.72 (define @t102 () (not @t101)) % 0.51/0.72 (define @t103 () (> tptp.y 1/1)) % 0.51/0.72 (define @t104 () (not (<= tptp.y 1/1))) % 0.51/0.72 (define @t105 () (not @t79)) % 0.51/0.72 (define @t106 () (and @t85 @t81)) % 0.51/0.72 (define @t107 () (@list @t71)) % 0.51/0.72 (define @t108 () (and @t86 @t22)) % 0.51/0.72 (define @t109 () (not @t86)) % 0.51/0.72 (define @t110 () (* tptp.y tptp.v)) % 0.51/0.72 (define @t111 () (* -1/1 @t110)) % 0.51/0.72 (define @t112 () (>= @t111 0/1)) % 0.51/0.72 (define @t113 () (>= 0/1 @t110)) % 0.51/0.72 (define @t114 () (and @t94 @t63)) % 0.51/0.72 (define @t115 () (> @t110 0/1)) % 0.51/0.72 (define @t116 () (not @t112)) % 0.51/0.72 (define @t117 () (@list false)) % 0.51/0.72 (define @t118 () (+ tptp.v @t110)) % 0.51/0.72 (define @t119 () (>= @t118 0/1)) % 0.51/0.72 (define @t120 () (not @t119)) % 0.51/0.72 (define @t121 () (not @t116)) % 0.51/0.72 (define @t122 () (< @t118 0/1)) % 0.51/0.72 (define @t123 () (+ 0/1 @t36 @t36 @t36)) % 0.51/0.72 (define @t124 () (* 0/1 tptp.v)) % 0.51/0.72 (define @t125 () (+ @t111 @t11 @t110 tptp.u @t124)) % 0.51/0.72 (define @t126 () (+ @t118 @t40 @t11 @t111)) % 0.51/0.72 (define @t127 () (>= @t126 @t123)) % 0.51/0.72 (define @t128 () (and @t116 @t25 @t23 @t120)) % 0.51/0.72 (define @t129 () (+ @t14 @t110)) % 0.51/0.72 (define @t130 () (>= @t129 0/1)) % 0.51/0.72 (define @t131 () (ite @t53 @t120 (not @t130))) % 0.51/0.72 (define @t132 () (>= @t39 0/1)) % 0.51/0.72 (define @t133 () (+ tptp.v tptp.u)) % 0.51/0.72 (define @t134 () (>= @t133 0/1)) % 0.51/0.72 (define @t135 () (>= tptp.u 0/1)) % 0.51/0.72 (define @t136 () (+ @t14 @t11)) % 0.51/0.72 (define @t137 () (>= @t136 0/1)) % 0.51/0.72 (define @t138 () (ite @t135 @t23 (not @t137))) % 0.51/0.72 (define @t139 () (ite @t53 @t138 (ite @t135 (not @t134) (not @t132)))) % 0.51/0.72 (define @t140 () (not @t138)) % 0.51/0.72 (define @t141 () (>= @t67 0/1)) % 0.51/0.72 (define @t142 () (= (* -1/1 (- 0/1 tptp.x)) (* -1/1 (- @t67 0/1)))) % 0.51/0.72 (define @t143 () (>= 0/1 tptp.x)) % 0.51/0.72 (define @t144 () (= @t143 @t141)) % 0.51/0.72 (define @t145 () (<= tptp.x 0/1)) % 0.51/0.72 (define @t146 () (not @t145)) % 0.51/0.72 (define @t147 () (not @t143)) % 0.51/0.72 (define @t148 () (> tptp.x 0/1)) % 0.51/0.72 (define @t149 () (+ 0/1 @t72)) % 0.51/0.72 (define @t150 () (+ tptp.x @t67)) % 0.51/0.72 (define @t151 () (and @t141 @t3)) % 0.51/0.72 (define @t152 () (not @t141)) % 0.51/0.72 (define @t153 () (>= tptp.y 0/1)) % 0.51/0.72 (define @t154 () (not @t153)) % 0.51/0.72 (define @t155 () (< tptp.y 0/1)) % 0.51/0.72 (define @t156 () (+ tptp.y @t67 @t75)) % 0.51/0.72 (define @t157 () (>= @t156 @t37)) % 0.51/0.72 (define @t158 () (@list false true)) % 0.51/0.72 (define @t159 () (>= tptp.y -1/1)) % 0.51/0.72 (define @t160 () (not @t159)) % 0.51/0.72 (define @t161 () (ite @t153 @t81 @t160)) % 0.51/0.72 (define @t162 () (= tptp.v 0/1)) % 0.51/0.72 (define @t163 () (not @t162)) % 0.51/0.72 (define @t164 () (and @t162 @t22)) % 0.51/0.72 (define @t165 () (= tptp.y 0/1)) % 0.51/0.72 (define @t166 () (not @t165)) % 0.51/0.72 (define @t167 () (not @t161)) % 0.51/0.72 (define @t168 () (and @t161 @t166 @t163)) % 0.51/0.72 (define @t169 () (not @t163)) % 0.51/0.72 (define @t170 () (not @t166)) % 0.51/0.72 (define @t171 () (- tptp.v)) % 0.51/0.72 (define @t172 () (- @t110)) % 0.51/0.72 (define @t173 () (<= @t172 @t171)) % 0.51/0.72 (define @t174 () (<= @t172 tptp.v)) % 0.51/0.72 (define @t175 () (ite @t53 (> @t172 tptp.v) (> @t172 @t171))) % 0.51/0.72 (define @t176 () (+ @t14 @t111)) % 0.51/0.72 (define @t177 () (>= @t176 0/1)) % 0.51/0.72 (define @t178 () (<= @t110 @t171)) % 0.51/0.72 (define @t179 () (+ tptp.v @t111)) % 0.51/0.72 (define @t180 () (>= @t179 0/1)) % 0.51/0.72 (define @t181 () (>= tptp.v @t110)) % 0.51/0.72 (define @t182 () (ite @t53 (> @t110 tptp.v) (> @t110 @t171))) % 0.51/0.72 (define @t183 () (>= @t110 0/1)) % 0.51/0.72 (define @t184 () (ite @t183 @t182 @t175)) % 0.51/0.72 (define @t185 () (>= tptp.y 1/1)) % 0.51/0.72 (define @t186 () (- 1/1)) % 0.51/0.72 (define @t187 () (- tptp.y)) % 0.51/0.72 (define @t188 () (<= @t187 @t186)) % 0.51/0.72 (define @t189 () (<= @t187 1/1)) % 0.51/0.72 (define @t190 () (>= 1/1 0/1)) % 0.51/0.72 (define @t191 () (ite @t190 (> @t187 1/1) (> @t187 @t186))) % 0.51/0.72 (define @t192 () (>= @t70 1/1)) % 0.51/0.72 (define @t193 () (<= tptp.y @t186)) % 0.51/0.72 (define @t194 () (ite @t190 @t103 (> tptp.y @t186))) % 0.51/0.72 (define @t195 () (ite @t153 @t194 @t191)) % 0.51/0.72 (define @t196 () (and @t195 @t166 @t163)) % 0.51/0.72 (define @t197 () (abs @t110)) % 0.51/0.72 (define @t198 () (* -1/1 @t197)) % 0.51/0.72 (define @t199 () (abs tptp.v)) % 0.51/0.72 (define @t200 () (+ @t199 @t198)) % 0.51/0.72 (define @t201 () (>= @t199 @t197)) % 0.51/0.72 (define @t202 () (* 1/1 tptp.v)) % 0.51/0.72 (define @t203 () (abs @t202)) % 0.51/0.72 (define @t204 () (<= @t197 @t203)) % 0.51/0.72 (define @t205 () (ite @t183 (ite @t53 (not @t180) (not @t177)) @t131)) % 0.51/0.72 (define @t206 () (>= @t11 1/1)) % 0.51/0.72 (define @t207 () (not @t206)) % 0.51/0.72 (define @t208 () (>= -1/1 tptp.u)) % 0.51/0.72 (define @t209 () (<= tptp.u -1/1)) % 0.51/0.72 (define @t210 () (+ -1/1 @t36)) % 0.51/0.72 (define @t211 () (+ tptp.u @t11)) % 0.51/0.72 (define @t212 () (= @t211 0/1)) % 0.51/0.72 (define @t213 () (>= @t211 @t210)) % 0.51/0.72 (define @t214 () (and @t206 @t25)) % 0.51/0.72 (define @t215 () (@list @t12)) % 0.51/0.72 (define @t216 () (>= tptp.u 1/1)) % 0.51/0.72 (define @t217 () (not @t216)) % 0.51/0.72 (define @t218 () (>= tptp.v 1/1)) % 0.51/0.72 (define @t219 () (not @t218)) % 0.51/0.72 (define @t220 () (+ 1/1 @t97 @t36)) % 0.51/0.72 (define @t221 () (>= @t42 @t220)) % 0.51/0.72 (define @t222 () (and @t23 @t216 @t219)) % 0.51/0.72 (define @t223 () (ite @t135 @t217 @t207)) % 0.51/0.72 (define @t224 () (not @t223)) % 0.51/0.72 (define @t225 () (not @t139)) % 0.51/0.72 (define @t226 () (and @t139 @t223 @t166 @t163)) % 0.51/0.72 (define @t227 () (and @t116 @t3)) % 0.51/0.72 (define @t228 () (* tptp.y tptp.x tptp.v)) % 0.51/0.72 (define @t229 () (* 1/2 @t228)) % 0.51/0.72 (define @t230 () (+ @t111 @t229)) % 0.51/0.72 (define @t231 () (- @t230 0/1)) % 0.51/0.72 (define @t232 () (* 2/1 @t110)) % 0.51/0.72 (define @t233 () (>= @t230 0/1)) % 0.51/0.72 (define @t234 () (* -1/1 -2/1)) % 0.51/0.72 (define @t235 () (* tptp.y tptp.v)) % 0.51/0.72 (define @t236 () (* @t235 @t234)) % 0.51/0.72 (define @t237 () (* @t235 tptp.x)) % 0.51/0.72 (define @t238 () (>= @t237 @t236)) % 0.51/0.72 (define @t239 () (<= @t235 0/1)) % 0.51/0.72 (define @t240 () (> @t235 0/1)) % 0.51/0.72 (define @t241 () (and @t240 @t3)) % 0.51/0.72 (define @t242 () (>= tptp.x @t234)) % 0.51/0.72 (define @t243 () (and @t240 @t242)) % 0.51/0.72 (define @t244 () (= tptp.u 0/1)) % 0.51/0.72 (define @t245 () (not @t244)) % 0.51/0.72 (define @t246 () (>= @t211 @t58)) % 0.51/0.72 (define @t247 () (not @t246)) % 0.51/0.72 (define @t248 () (and @t244 @t25)) % 0.51/0.72 (define @t249 () (* tptp.u tptp.u)) % 0.51/0.72 (define @t250 () (* -1/1 @t249)) % 0.51/0.72 (define @t251 () (>= @t250 0/1)) % 0.51/0.72 (define @t252 () (not @t251)) % 0.51/0.72 (define @t253 () (not @t245)) % 0.51/0.72 (define @t254 () (>= 0/1 @t249)) % 0.51/0.72 (define @t255 () (and @t252 @t69)) % 0.51/0.72 (define @t256 () (* tptp.y tptp.u tptp.u)) % 0.51/0.72 (define @t257 () (* tptp.x tptp.u tptp.u)) % 0.51/0.72 (define @t258 () (+ (* -1/1 @t257) @t256)) % 0.51/0.72 (define @t259 () (* 1/1 (- @t258 0/1))) % 0.51/0.72 (define @t260 () (>= @t258 0/1)) % 0.51/0.72 (define @t261 () (* @t7 tptp.y)) % 0.51/0.72 (define @t262 () (* @t7 tptp.x)) % 0.51/0.72 (define @t263 () (<= @t262 @t261)) % 0.51/0.72 (define @t264 () (<= @t7 0/1)) % 0.51/0.72 (define @t265 () (> @t7 0/1)) % 0.51/0.72 (define @t266 () (and @t265 @t69)) % 0.51/0.72 (define @t267 () (and @t265 @t4)) % 0.51/0.72 (define @t268 () (and @t116 @t69)) % 0.51/0.72 (define @t269 () (* tptp.y tptp.y tptp.v)) % 0.51/0.72 (define @t270 () (+ @t269 (* -1/1 @t228))) % 0.51/0.72 (define @t271 () (>= @t270 0/1)) % 0.51/0.72 (define @t272 () (* -1/1 @t67)) % 0.51/0.72 (define @t273 () (* @t235 @t272)) % 0.51/0.72 (define @t274 () (* @t235 tptp.y)) % 0.51/0.72 (define @t275 () (>= @t274 @t273)) % 0.51/0.72 (define @t276 () (and @t240 @t69)) % 0.51/0.72 (define @t277 () (>= tptp.y @t272)) % 0.51/0.72 (define @t278 () (and @t240 @t277)) % 0.51/0.72 (define @t279 () (* -1/2 @t269)) % 0.51/0.72 (define @t280 () (+ @t257 @t279)) % 0.51/0.72 (define @t281 () (>= @t280 0/1)) % 0.51/0.72 (define @t282 () (* 2/1 @t257)) % 0.51/0.72 (define @t283 () (* tptp.y tptp.y)) % 0.51/0.72 (define @t284 () (>= @t9 @t6)) % 0.51/0.72 (define @t285 () (+ @t111 @t256)) % 0.51/0.72 (define @t286 () (>= @t285 0/1)) % 0.51/0.72 (define @t287 () (not @t233)) % 0.51/0.72 (define @t288 () (not @t260)) % 0.51/0.72 (define @t289 () (not @t271)) % 0.51/0.72 (define @t290 () (not @t281)) % 0.51/0.72 (define @t291 () (not @t286)) % 0.51/0.72 (define @t292 () (* -1/2 0/1)) % 0.51/0.72 (define @t293 () (+ @t36 0/1 0/1 @t292 @t36)) % 0.51/0.72 (define @t294 () (* 1/2 @t269)) % 0.51/0.72 (define @t295 () (* -1/2 @t228)) % 0.51/0.72 (define @t296 () (* 0/1 @t257)) % 0.51/0.72 (define @t297 () (* 0/1 @t110)) % 0.51/0.72 (define @t298 () (* 0/1 @t256)) % 0.51/0.72 (define @t299 () (+ @t295 @t298 @t229 @t297 @t294 @t279 @t296)) % 0.51/0.72 (define @t300 () (* -1/1 @t256)) % 0.51/0.72 (define @t301 () (+ @t110 @t300)) % 0.51/0.72 (define @t302 () (+ @t110 @t295)) % 0.51/0.72 (define @t303 () (+ @t257 @t300)) % 0.51/0.72 (define @t304 () (+ (* -1/1 @t280) @t303 @t302 (* -1/2 @t270) (* -1/1 @t301))) % 0.51/0.72 (define @t305 () (>= @t304 @t293)) % 0.51/0.72 (define @t306 () (* -1/1 (- @t285 0/1))) % 0.51/0.72 (define @t307 () (>= 0/1 @t301)) % 0.51/0.72 (define @t308 () (and @t291 @t271 @t233 @t260 @t281)) % 0.51/0.72 (define @t309 () (and @t86 @t245)) % 0.51/0.72 (define @t310 () (>= @t300 0/1)) % 0.51/0.72 (define @t311 () (>= 0/1 @t256)) % 0.51/0.72 (define @t312 () (and @t94 @t245)) % 0.51/0.72 (define @t313 () (> @t256 0/1)) % 0.51/0.72 (define @t314 () (not @t310)) % 0.51/0.72 (define @t315 () (>= @t256 0/1)) % 0.51/0.72 (define @t316 () (not @t315)) % 0.51/0.72 (define @t317 () (< @t256 0/1)) % 0.51/0.72 (define @t318 () (+ @t256 @t300)) % 0.51/0.72 (define @t319 () (>= @t318 @t58)) % 0.51/0.72 (define @t320 () (and @t316 @t314)) % 0.51/0.72 (define @t321 () (+ @t111 @t300)) % 0.51/0.72 (define @t322 () (>= @t321 0/1)) % 0.51/0.72 (define @t323 () (ite @t315 @t291 (not @t322))) % 0.51/0.72 (define @t324 () (not @t323)) % 0.51/0.72 (define @t325 () (>= @t301 0/1)) % 0.51/0.72 (define @t326 () (+ @t110 @t256)) % 0.51/0.72 (define @t327 () (>= @t326 0/1)) % 0.51/0.72 (define @t328 () (ite @t183 @t323 (ite @t315 (not @t327) (not @t325)))) % 0.51/0.72 (define @t329 () (- @t256)) % 0.51/0.72 (define @t330 () (<= @t172 @t329)) % 0.51/0.72 (define @t331 () (<= @t172 @t256)) % 0.51/0.72 (define @t332 () (ite @t315 (> @t172 @t256) (> @t172 @t329))) % 0.51/0.72 (define @t333 () (<= @t110 @t329)) % 0.51/0.72 (define @t334 () (>= @t256 @t110)) % 0.51/0.72 (define @t335 () (ite @t315 (> @t110 @t256) (> @t110 @t329))) % 0.51/0.72 (define @t336 () (ite @t183 @t335 @t332)) % 0.51/0.72 (define @t337 () (- tptp.u)) % 0.51/0.72 (define @t338 () (<= @t186 @t337)) % 0.51/0.72 (define @t339 () (<= @t186 tptp.u)) % 0.51/0.72 (define @t340 () (ite @t135 (> @t186 tptp.u) (> @t186 @t337))) % 0.51/0.72 (define @t341 () (<= 1/1 @t337)) % 0.51/0.72 (define @t342 () (ite @t135 (> 1/1 tptp.u) (> 1/1 @t337))) % 0.51/0.72 (define @t343 () (ite @t190 @t342 @t340)) % 0.51/0.72 (define @t344 () (<= @t171 @t337)) % 0.51/0.72 (define @t345 () (<= @t171 tptp.u)) % 0.51/0.72 (define @t346 () (ite @t135 (> @t171 tptp.u) (> @t171 @t337))) % 0.51/0.72 (define @t347 () (<= tptp.v @t337)) % 0.51/0.72 (define @t348 () (ite @t135 (> tptp.v tptp.u) (> tptp.v @t337))) % 0.51/0.72 (define @t349 () (ite @t53 @t348 @t346)) % 0.51/0.72 (define @t350 () (and @t349 @t343 @t166 @t163)) % 0.51/0.72 (define @t351 () (abs @t256)) % 0.51/0.72 (define @t352 () (+ @t198 @t351)) % 0.51/0.72 (define @t353 () (>= @t351 @t197)) % 0.51/0.72 (define @t354 () (* tptp.u tptp.u tptp.y)) % 0.51/0.72 (define @t355 () (abs @t354)) % 0.51/0.72 (define @t356 () (* tptp.v 1/1 tptp.y)) % 0.51/0.72 (define @t357 () (abs @t356)) % 0.51/0.72 (define @t358 () (<= @t357 @t355)) % 0.51/0.72 (define @t359 () (not @t135)) % 0.51/0.72 (define @t360 () (< tptp.u 0/1)) % 0.51/0.72 (define @t361 () (and @t359 @t25)) % 0.51/0.72 (assume @p1 @t1) % 0.51/0.72 (assume @p2 (< tptp.u tptp.v)) 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0.51/0.72 (step @p20 :rule arith_poly_norm_rel :premises (@p19) :args (@t19)) % 0.51/0.72 (step @p21 :rule cong :premises (@p20) :args (@t20)) % 0.51/0.72 (step @p22 :rule arith-elim-lt :args (tptp.u tptp.v)) % 0.51/0.72 (step @p23 :rule trans :premises (@p22 @p21)) % 0.51/0.72 (step @p24 :rule eq_resolve :premises (@p2 @p23)) % 0.51/0.72 (step @p25 :rule refl :args (@t22)) % 0.51/0.72 (step @p26 :rule bool-double-not-elim :args (@t17)) % 0.51/0.72 (step @p27 :rule bool-double-not-elim :args (@t12)) % 0.51/0.72 (step @p28 :rule nary_cong :premises (@p27 @p26 @p25) :args ((or @t26 @t24 @t22))) % 0.51/0.72 (assume-push @p1382 @t23) % 0.51/0.72 (assume-push @p1383 @t25) % 0.51/0.72 (assume-push @p1384 @t21) % 0.51/0.72 (step @p32 :rule arith-elim-leq :args (tptp.v 0/1)) % 0.51/0.72 (step @p33 :rule symm :premises (@p32)) % 0.51/0.72 (step @p34 :rule cong :premises (@p33) :args (@t28)) % 0.51/0.72 (step @p35 :rule arith-elim-gt :args (tptp.v 0/1)) % 0.51/0.72 (step @p36 :rule trans 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(step-pop @p1386 :rule scope :premises (@p85)) % 0.51/0.72 (step @p86 :rule process_scope :premises (@p1386) :args (false)) % 0.51/0.72 (step @p88 :rule eq_resolve :premises (@p86 @p43)) % 0.51/0.72 (step @p89 :rule eq_resolve :premises (@p88 @p36)) % 0.51/0.72 (step @p90 :rule symm :premises (@p39)) % 0.51/0.72 (step @p91 :rule eq_resolve :premises (@p1384 @p90)) % 0.51/0.72 (step @p92 false :rule contra :premises (@p91 @p89)) % 0.51/0.72 (step-pop @p1387 :rule scope :premises (@p92)) % 0.51/0.72 (step-pop @p1388 :rule scope :premises (@p1387)) % 0.51/0.72 (step-pop @p1389 :rule scope :premises (@p1388)) % 0.51/0.72 (step @p93 :rule process_scope :premises (@p1389) :args (false)) % 0.51/0.72 (assume-push @p1390 @t25) % 0.51/0.72 (assume-push @p1391 @t23) % 0.51/0.72 (assume-push @p1392 @t21) % 0.51/0.72 (step @p100 :rule and_intro :premises (@p24 @p18 @p1392)) % 0.51/0.72 (step-pop @p1393 :rule scope :premises (@p100)) % 0.51/0.72 (step-pop @p1394 :rule scope :premises (@p1393)) % 0.51/0.72 (step-pop @p1395 :rule scope :premises (@p1394)) % 0.51/0.72 (step @p101 :rule process_scope :premises (@p1395) :args (@t51)) % 0.51/0.72 (step @p105 :rule implies_elim :premises (@p101)) % 0.51/0.72 (step @p106 :rule resolution :premises (@p105 @p93) :args (true @t51)) % 0.51/0.72 (step @p107 :rule not_and :premises (@p106)) % 0.51/0.72 (step @p108 :rule eq_resolve :premises (@p107 @p28)) % 0.51/0.72 (step @p109 :rule chain_m_resolution :premises (@p108 @p18 @p24) :args (@t22 @t52 (@list @t12 @t17))) % 0.51/0.72 (step @p110 :rule bool-double-not-elim :args (@t53)) % 0.51/0.72 (step @p111 :rule bool-double-not-elim :args (@t21)) % 0.51/0.72 (step @p112 :rule nary_cong :premises (@p111 @p110) :args ((or @t55 (not @t54)))) % 0.51/0.72 (assume-push @p1396 @t54) % 0.51/0.72 (assume-push @p1397 @t22) % 0.51/0.72 (step @p115 :rule arith-elim-lt :args (tptp.v 0/1)) % 0.51/0.72 (step @p116 :rule symm :premises (@p115)) % 0.51/0.72 (step @p117 :rule eq_resolve :premises (@p1396 @p116)) % 0.51/0.72 (step @p118 :rule eq_resolve :premises (@p117 @p115)) % 0.51/0.72 (step @p119 :rule cong :premises (@p115) :args ((not @t56))) % 0.51/0.72 (step @p120 :rule trans :premises (@p119 @p110)) % 0.51/0.72 (assume-push @p1398 @t56) % 0.51/0.72 (step @p45 :rule evaluate :args (@t33)) % 0.51/0.72 (step @p46 :rule evaluate :args (@t34)) % 0.51/0.72 (step @p122 :rule evaluate :args (@t57)) % 0.51/0.72 (step @p48 :rule evaluate :args (@t36)) % 0.51/0.72 (step @p49 :rule refl :args (0/1)) % 0.51/0.72 (step @p123 :rule nary_cong :premises (@p49 @p48) :args (@t58)) % 0.51/0.72 (step @p124 :rule trans :premises (@p123 @p122)) % 0.51/0.72 (step @p125 :rule arith_poly_norm :args (@t60)) % 0.51/0.72 (step @p126 :rule cong :premises (@p125 @p124) :args (@t61)) % 0.51/0.72 (step @p127 :rule trans :premises (@p126 @p46)) % 0.51/0.72 (step @p128 :rule cong :premises (@p127) :args (@t62)) % 0.51/0.72 (step @p129 :rule trans :premises (@p128 @p45)) % 0.51/0.72 (step @p130 :rule 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(@p77)) % 0.51/0.72 (step @p134 :rule and_intro :premises (@p78 @p133)) % 0.51/0.72 (step @p135 :rule modus_ponens :premises (@p134 @p132)) % 0.51/0.72 (step @p136 :rule arith_sum_ub :premises (@p1398 @p135)) % 0.51/0.72 (step @p137 false :rule eq_resolve :premises (@p136 @p131)) % 0.51/0.72 (step-pop @p1399 :rule scope :premises (@p137)) % 0.51/0.72 (step @p138 :rule process_scope :premises (@p1399) :args (false)) % 0.51/0.72 (step @p140 :rule eq_resolve :premises (@p138 @p120)) % 0.51/0.72 (step @p141 false :rule contra :premises (@p140 @p118)) % 0.51/0.72 (step-pop @p1400 :rule scope :premises (@p141)) % 0.51/0.72 (step-pop @p1401 :rule scope :premises (@p1400)) % 0.51/0.72 (step @p142 :rule process_scope :premises (@p1401) :args (false)) % 0.51/0.72 (assume-push @p1402 @t22) % 0.51/0.72 (assume-push @p1403 @t54) % 0.51/0.72 (step @p147 :rule and_intro :premises (@p1403 @p1402)) % 0.51/0.72 (step-pop @p1404 :rule scope :premises (@p147)) % 0.51/0.72 (step-pop @p1405 :rule scope 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arith-elim-lt :args (tptp.u 0/1)) % 0.51/0.73 (step @p1356 :rule symm :premises (@p1355)) % 0.51/0.73 (step @p1357 :rule eq_resolve :premises (@p1554 @p1356)) % 0.51/0.73 (step @p1358 :rule eq_resolve :premises (@p1357 @p1355)) % 0.51/0.73 (step @p1359 :rule cong :premises (@p1355) :args ((not @t360))) % 0.51/0.73 (step @p1360 :rule trans :premises (@p1359 @p1351)) % 0.51/0.73 (assume-push @p1556 @t360) % 0.51/0.73 (step @p45 :rule evaluate :args (@t33)) % 0.51/0.73 (step @p46 :rule evaluate :args (@t34)) % 0.51/0.73 (step @p122 :rule evaluate :args (@t57)) % 0.51/0.73 (step @p48 :rule evaluate :args (@t36)) % 0.51/0.73 (step @p123 :rule nary_cong :premises (@p49 @p48) :args (@t58)) % 0.51/0.73 (step @p124 :rule trans :premises (@p123 @p122)) % 0.51/0.73 (step @p693 :rule arith_poly_norm :args (@t212)) % 0.51/0.73 (step @p830 :rule cong :premises (@p693 @p124) :args (@t246)) % 0.51/0.73 (step @p831 :rule trans :premises (@p830 @p46)) % 0.51/0.73 (step @p832 :rule cong :premises (@p831) :args (@t247)) % 0.51/0.73 (step @p833 :rule trans :premises (@p832 @p45)) % 0.51/0.73 (step @p834 :rule arith-elim-lt :args (@t211 @t58)) % 0.51/0.73 (step @p835 :rule trans :premises (@p834 @p833)) % 0.51/0.73 (step @p81 :rule arith_mult_neg :args (-1/1 @t1)) % 0.51/0.73 (step @p77 :rule evaluate :args (@t50)) % 0.51/0.73 (step @p78 :rule true_elim :premises (@p77)) % 0.51/0.73 (step @p82 :rule and_intro :premises (@p78 @p1)) % 0.51/0.73 (step @p83 :rule modus_ponens :premises (@p82 @p81)) % 0.51/0.73 (step @p1362 :rule arith_sum_ub :premises (@p1556 @p83)) % 0.51/0.73 (step @p1363 false :rule eq_resolve :premises (@p1362 @p835)) % 0.51/0.73 (step-pop @p1557 :rule scope :premises (@p1363)) % 0.51/0.73 (step @p1364 :rule process_scope :premises (@p1557) :args (false)) % 0.51/0.73 (step @p1366 :rule eq_resolve :premises (@p1364 @p1360)) % 0.51/0.73 (step @p1367 false :rule contra :premises (@p1366 @p1358)) % 0.51/0.73 (step-pop @p1558 :rule scope :premises (@p1367)) % 0.51/0.73 (step-pop @p1559 :rule scope :premises (@p1558)) % 0.51/0.73 (step @p1368 :rule process_scope :premises (@p1559) :args (false)) % 0.51/0.73 (assume-push @p1560 @t25) % 0.51/0.73 (assume-push @p1561 @t359) % 0.51/0.73 (step @p1373 :rule and_intro :premises (@p1561 @p18)) % 0.51/0.73 (step-pop @p1562 :rule scope :premises (@p1373)) % 0.51/0.73 (step-pop @p1563 :rule scope :premises (@p1562)) % 0.51/0.73 (step @p1374 :rule process_scope :premises (@p1563) :args (@t361)) % 0.51/0.73 (step @p1377 :rule implies_elim :premises (@p1374)) % 0.51/0.73 (step @p1378 :rule resolution :premises (@p1377 @p1368) :args (true @t361)) % 0.51/0.73 (step @p1379 :rule not_and :premises (@p1378)) % 0.51/0.73 (step @p1380 :rule eq_resolve :premises (@p1379 @p1352)) % 0.51/0.73 (step @p1381 false :rule chain_m_resolution :premises (@p1380 @p1350 @p18) :args (false @t52 (@list @t135 @t12))) % 0.51/0.73 ) % 0.51/0.73 % SZS output end Proof % 0.51/0.73 % cvc5 exiting %------------------------------------------------------------------------------