%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : ARI630_1 : TPTP v9.2.1. Released v6.3.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % Computer : n020.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 08:08:01 AM UTC 2026 % Result : Theorem 0.62s 0.89s % Output : Proof 0.75s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : ARI630_1 : TPTP v9.2.1. Released v6.3.0. % 0.12/0.14 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.18/0.35 % Computer : n020.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 02:30:41 EDT 2026 % 0.18/0.35 % CPUTime : % 0.32/0.51 %----Proving TF0_ARI % 0.62/0.89 --- Run --finite-model-find --decision=internal at 45... % 0.62/0.89 % SZS status Theorem % 0.62/0.89 % SZS output start Proof % 0.62/0.89 ( % 0.62/0.89 (declare-const tptp.x Real) % 0.62/0.89 (define @t1 () (> tptp.x 0/1)) % 0.62/0.89 (define @t2 () (< tptp.x 1/1)) % 0.62/0.89 (define @t3 () (* tptp.x tptp.x)) % 0.62/0.89 (define @t4 () (- 1/1)) % 0.62/0.89 (define @t5 () (* @t4 @t3)) % 0.62/0.89 (define @t6 () (+ @t5 1/1)) % 0.62/0.89 (define @t7 () (/ 1/1 @t6)) % 0.62/0.89 (define @t8 () (* @t4 tptp.x)) % 0.62/0.89 (define @t9 () (+ @t8 1/1)) % 0.62/0.89 (define @t10 () (/ 1/1 @t9)) % 0.62/0.89 (define @t11 () (not (> @t10 @t7))) % 0.62/0.89 (define @t12 () (= tptp.x 1/1)) % 0.62/0.89 (define @t13 () (not @t12)) % 0.62/0.89 (define @t14 () (>= tptp.x 1/1)) % 0.62/0.89 (define @t15 () (not @t14)) % 0.62/0.89 (define @t16 () (not @t15)) % 0.62/0.89 (define @t17 () (not true)) % 0.62/0.89 (define @t18 () (>= 0/1 0/1)) % 0.62/0.89 (define @t19 () (* -1/1 1/1)) % 0.62/0.89 (define @t20 () (+ @t19 1/1)) % 0.62/0.89 (define @t21 () (* -1/1 tptp.x)) % 0.62/0.89 (define @t22 () (+ @t21 tptp.x)) % 0.62/0.89 (define @t23 () (>= @t22 @t20)) % 0.62/0.89 (define @t24 () (< -1/1 0/1)) % 0.62/0.89 (define @t25 () (@list true)) % 0.62/0.89 (define @t26 () (+ 1/1 @t21)) % 0.62/0.89 (define @t27 () (/_total 1/1 @t26)) % 0.62/0.89 (define @t28 () (@div_by_zero 1/1)) % 0.62/0.89 (define @t29 () (ite @t12 @t28 @t27)) % 0.62/0.89 (define @t30 () (@purify @t29)) % 0.62/0.89 (define @t31 () (= @t30 @t27)) % 0.62/0.89 (define @t32 () (= @t30 @t28)) % 0.62/0.89 (define @t33 () (= @t30 @t29)) % 0.62/0.89 (define @t34 () (= @t29 @t27)) % 0.62/0.89 (define @t35 () (= @t29 @t28)) % 0.62/0.89 (define @t36 () (@purify @t27)) % 0.62/0.89 (define @t37 () (= @t30 @t36)) % 0.62/0.89 (define @t38 () (@list @t12)) % 0.62/0.89 (define @t39 () (* tptp.x @t36)) % 0.62/0.89 (define @t40 () (+ 1/1 @t39)) % 0.62/0.89 (define @t41 () (= @t36 @t40)) % 0.62/0.89 (define @t42 () (* -1/1 @t39)) % 0.62/0.89 (define @t43 () (+ @t36 @t42)) % 0.62/0.89 (define @t44 () (= @t43 1/1)) % 0.62/0.89 (define @t45 () (* @t26 @t36)) % 0.62/0.89 (define @t46 () (= @t45 1/1)) % 0.62/0.89 (define @t47 () (= @t26 0/1)) % 0.62/0.89 (define @t48 () (not @t47)) % 0.62/0.89 (define @t49 () (>= @t36 0/1)) % 0.62/0.89 (define @t50 () (not @t37)) % 0.62/0.89 (define @t51 () (>= @t30 0/1)) % 0.62/0.89 (define @t52 () (not @t51)) % 0.62/0.89 (define @t53 () (not @t49)) % 0.62/0.89 (define @t54 () (* -1/1 0/1)) % 0.62/0.89 (define @t55 () (+ 0/1 @t54 0/1)) % 0.62/0.89 (define @t56 () (* -1/1 @t36)) % 0.62/0.89 (define @t57 () (* -1/1 @t30)) % 0.62/0.89 (define @t58 () (+ @t57 @t56 @t36 @t30)) % 0.62/0.89 (define @t59 () (+ @t30 @t56)) % 0.62/0.89 (define @t60 () (+ @t36 @t57 @t59)) % 0.62/0.89 (define @t61 () (>= @t60 @t55)) % 0.62/0.89 (define @t62 () (= (* -1/1 (- @t59 0/1)) (* -1/1 (- @t30 @t36)))) % 0.62/0.89 (define @t63 () (= @t59 0/1)) % 0.62/0.89 (define @t64 () (= @t63 @t37)) % 0.62/0.89 (define @t65 () (>= @t21 0/1)) % 0.62/0.89 (define @t66 () (>= 0/1 tptp.x)) % 0.62/0.89 (define @t67 () (>= tptp.x 0/1)) % 0.62/0.89 (define @t68 () (not @t67)) % 0.62/0.89 (define @t69 () (not @t65)) % 0.62/0.89 (define @t70 () (not @t69)) % 0.62/0.89 (define @t71 () (< tptp.x 0/1)) % 0.62/0.89 (define @t72 () (+ 0/1 0/1)) % 0.62/0.89 (define @t73 () (+ 0/1 @t54)) % 0.62/0.89 (define @t74 () (+ tptp.x @t21)) % 0.62/0.89 (define @t75 () (= @t74 0/1)) % 0.62/0.89 (define @t76 () (>= @t74 @t73)) % 0.62/0.89 (define @t77 () (not @t76)) % 0.62/0.89 (define @t78 () (and @t68 @t69)) % 0.62/0.89 (define @t79 () (@list @t65)) % 0.62/0.89 (define @t80 () (ite @t67 @t15 (not (>= @t21 1/1)))) % 0.62/0.89 (define @t81 () (@list true false)) % 0.62/0.89 (define @t82 () (= tptp.x 0/1)) % 0.62/0.89 (define @t83 () (not @t82)) % 0.62/0.89 (define @t84 () (and @t82 @t69)) % 0.62/0.89 (define @t85 () (not @t80)) % 0.62/0.89 (define @t86 () (and @t80 @t83)) % 0.62/0.89 (define @t87 () (not @t83)) % 0.62/0.89 (define @t88 () (* tptp.x tptp.x)) % 0.62/0.89 (define @t89 () (* -1/1 @t88)) % 0.62/0.89 (define @t90 () (+ tptp.x @t89)) % 0.62/0.89 (define @t91 () (>= @t90 0/1)) % 0.62/0.89 (define @t92 () (- @t88)) % 0.62/0.89 (define @t93 () (- tptp.x)) % 0.62/0.89 (define @t94 () (<= @t93 @t92)) % 0.62/0.89 (define @t95 () (+ tptp.x @t88)) % 0.62/0.89 (define @t96 () (>= @t95 0/1)) % 0.62/0.89 (define @t97 () (<= @t93 @t88)) % 0.62/0.89 (define @t98 () (>= @t88 0/1)) % 0.62/0.89 (define @t99 () (ite @t98 (> @t93 @t88) (> @t93 @t92))) % 0.62/0.89 (define @t100 () (+ @t21 @t89)) % 0.62/0.89 (define @t101 () (>= @t100 0/1)) % 0.62/0.89 (define @t102 () (<= tptp.x @t92)) % 0.62/0.89 (define @t103 () (+ @t21 @t88)) % 0.62/0.89 (define @t104 () (* -1/1 (- @t103 0/1))) % 0.62/0.89 (define @t105 () (>= @t103 0/1)) % 0.62/0.89 (define @t106 () (>= @t88 tptp.x)) % 0.62/0.89 (define @t107 () (ite @t98 (> tptp.x @t88) (> tptp.x @t92))) % 0.62/0.89 (define @t108 () (ite @t67 @t107 @t99)) % 0.62/0.89 (define @t109 () (<= @t4 @t93)) % 0.62/0.89 (define @t110 () (<= @t4 tptp.x)) % 0.62/0.89 (define @t111 () (ite @t67 (> @t4 tptp.x) (> @t4 @t93))) % 0.62/0.89 (define @t112 () (<= 1/1 @t93)) % 0.62/0.89 (define @t113 () (ite @t67 (> 1/1 tptp.x) (> 1/1 @t93))) % 0.62/0.89 (define @t114 () (>= 1/1 0/1)) % 0.62/0.89 (define @t115 () (ite @t114 @t113 @t111)) % 0.62/0.89 (define @t116 () (and @t115 @t83)) % 0.62/0.89 (define @t117 () (abs @t88)) % 0.62/0.89 (define @t118 () (abs tptp.x)) % 0.62/0.89 (define @t119 () (+ (* -1/1 @t118) @t117)) % 0.62/0.89 (define @t120 () (>= @t117 @t118)) % 0.62/0.89 (define @t121 () (* 1/1 tptp.x)) % 0.62/0.89 (define @t122 () (abs @t121)) % 0.62/0.89 (define @t123 () (<= @t122 @t117)) % 0.62/0.89 (define @t124 () (not @t91)) % 0.62/0.89 (define @t125 () (not @t105)) % 0.62/0.89 (define @t126 () (ite @t98 @t125 (not @t101))) % 0.62/0.89 (define @t127 () (ite @t67 @t126 (ite @t98 (not @t96) @t124))) % 0.62/0.89 (define @t128 () (@list false)) % 0.62/0.89 (define @t129 () (@list false false)) % 0.62/0.89 (define @t130 () (>= @t89 0/1)) % 0.62/0.89 (define @t131 () (not @t130)) % 0.62/0.89 (define @t132 () (>= 0/1 @t88)) % 0.62/0.89 (define @t133 () (> @t88 0/1)) % 0.62/0.89 (define @t134 () (< @t88 0/1)) % 0.62/0.89 (define @t135 () (+ @t88 @t89)) % 0.62/0.89 (define @t136 () (>= @t135 @t73)) % 0.62/0.89 (define @t137 () (not @t125)) % 0.62/0.89 (define @t138 () (>= 0/1 @t90)) % 0.62/0.89 (define @t139 () (not @t138)) % 0.62/0.89 (define @t140 () (= (* -1/1 (- 0/1 @t90)) @t104)) % 0.62/0.89 (define @t141 () (= @t138 @t105)) % 0.62/0.89 (define @t142 () (not (<= @t90 0/1))) % 0.62/0.89 (define @t143 () (> @t90 0/1)) % 0.62/0.89 (define @t144 () (not @t143)) % 0.62/0.89 (define @t145 () (+ @t54 0/1)) % 0.62/0.89 (define @t146 () (* 0/1 tptp.x)) % 0.62/0.89 (define @t147 () (= @t146 0/1)) % 0.62/0.89 (define @t148 () (* 0/1 @t88)) % 0.62/0.89 (define @t149 () (+ @t148 @t146)) % 0.62/0.89 (define @t150 () (* -1/1 @t90)) % 0.62/0.89 (define @t151 () (+ @t150 @t90)) % 0.62/0.89 (define @t152 () (>= @t151 @t145)) % 0.62/0.89 (define @t153 () (= @t88 1/1)) % 0.62/0.89 (define @t154 () (not @t153)) % 0.62/0.89 (define @t155 () (not @t2)) % 0.62/0.89 (define @t156 () (+ 1/1 -1/1 0/1)) % 0.62/0.89 (define @t157 () (+ 1/1 @t19 @t54)) % 0.62/0.89 (define @t158 () (= @t150 @t103)) % 0.62/0.89 (define @t159 () (+ tptp.x @t89 @t150)) % 0.62/0.89 (define @t160 () (>= @t159 @t157)) % 0.62/0.89 (define @t161 () (and @t91 @t153 @t15)) % 0.62/0.89 (define @t162 () (+ 1/1 @t89)) % 0.62/0.89 (define @t163 () (/_total 1/1 @t162)) % 0.62/0.89 (define @t164 () (@purify @t163)) % 0.62/0.89 (define @t165 () (* tptp.x tptp.x @t164)) % 0.62/0.89 (define @t166 () (+ 1/1 @t165)) % 0.62/0.89 (define @t167 () (= @t164 @t166)) % 0.62/0.89 (define @t168 () (* -1/1 @t165)) % 0.62/0.89 (define @t169 () (+ @t164 @t168)) % 0.62/0.89 (define @t170 () (= @t169 1/1)) % 0.62/0.89 (define @t171 () (* @t162 @t164)) % 0.62/0.89 (define @t172 () (= @t171 1/1)) % 0.62/0.89 (define @t173 () (= @t162 0/1)) % 0.62/0.89 (define @t174 () (not @t173)) % 0.62/0.89 (define @t175 () (@list @t153)) % 0.62/0.89 (define @t176 () (ite @t153 @t28 @t163)) % 0.62/0.89 (define @t177 () (@purify @t176)) % 0.62/0.89 (define @t178 () (= @t177 @t163)) % 0.62/0.89 (define @t179 () (= @t177 @t28)) % 0.62/0.89 (define @t180 () (= @t177 @t176)) % 0.62/0.89 (define @t181 () (= @t176 @t163)) % 0.62/0.89 (define @t182 () (= @t176 @t28)) % 0.62/0.89 (define @t183 () (= @t177 @t164)) % 0.62/0.89 (define @t184 () (+ @t177 @t57)) % 0.62/0.89 (define @t185 () (/ 1/1 @t162)) % 0.62/0.89 (define @t186 () (/ 1/1 @t26)) % 0.62/0.89 (define @t187 () (* -1/1 @t186)) % 0.62/0.89 (define @t188 () (+ @t187 @t185)) % 0.62/0.89 (define @t189 () (>= @t188 0/1)) % 0.62/0.89 (define @t190 () (<= @t10 @t7)) % 0.62/0.89 (define @t191 () (+ @t164 @t56)) % 0.62/0.89 (define @t192 () (>= @t191 0/1)) % 0.62/0.89 (define @t193 () (not @t183)) % 0.62/0.89 (define @t194 () (>= @t184 0/1)) % 0.62/0.89 (define @t195 () (not @t194)) % 0.62/0.89 (define @t196 () (not @t192)) % 0.62/0.89 (define @t197 () (< @t191 0/1)) % 0.62/0.89 (define @t198 () (+ 0/1 @t54 0/1 @t54)) % 0.62/0.89 (define @t199 () (* -1/1 @t164)) % 0.62/0.89 (define @t200 () (* 0/1 @t177)) % 0.62/0.89 (define @t201 () (* 0/1 @t36)) % 0.62/0.89 (define @t202 () (= @t201 0/1)) % 0.62/0.89 (define @t203 () (+ @t201 @t199 @t164 @t30 @t57 @t200)) % 0.62/0.89 (define @t204 () (+ @t177 @t199)) % 0.62/0.89 (define @t205 () (* -1/1 @t59)) % 0.62/0.89 (define @t206 () (+ @t191 @t205 @t204 (* -1/1 @t184))) % 0.62/0.89 (define @t207 () (>= @t206 @t198)) % 0.62/0.89 (define @t208 () (@list false false false)) % 0.62/0.89 (define @t209 () (+ @t165 @t42)) % 0.62/0.89 (define @t210 () (>= @t209 0/1)) % 0.62/0.89 (define @t211 () (not @t41)) % 0.62/0.89 (define @t212 () (not @t167)) % 0.62/0.89 (define @t213 () (not @t210)) % 0.62/0.89 (define @t214 () (+ 0/1 @t54 1/1 @t19)) % 0.62/0.89 (define @t215 () (* 0/1 @t164)) % 0.62/0.89 (define @t216 () (= @t215 0/1)) % 0.62/0.89 (define @t217 () (* 0/1 @t39)) % 0.62/0.89 (define @t218 () (= @t217 0/1)) % 0.62/0.89 (define @t219 () (+ @t36 @t217 @t168 @t165 @t56 @t215)) % 0.62/0.89 (define @t220 () (* -1/1 @t43)) % 0.62/0.89 (define @t221 () (* -1/1 @t191)) % 0.62/0.89 (define @t222 () (+ @t209 @t221 @t169 @t220)) % 0.62/0.89 (define @t223 () (>= @t222 @t214)) % 0.62/0.89 (define @t224 () (+ @t42 @t165)) % 0.62/0.89 (define @t225 () (* tptp.x @t164)) % 0.62/0.89 (define @t226 () (+ @t56 @t225)) % 0.62/0.89 (define @t227 () (* tptp.x @t226)) % 0.62/0.89 (define @t228 () (>= @t227 0/1)) % 0.62/0.89 (define @t229 () (@purify @t226)) % 0.62/0.89 (define @t230 () (* tptp.x @t229)) % 0.62/0.89 (define @t231 () (>= @t230 0/1)) % 0.62/0.89 (define @t232 () (and @t1 (< @t229 0/1))) % 0.62/0.89 (define @t233 () (>= @t229 0/1)) % 0.62/0.89 (define @t234 () (not @t233)) % 0.62/0.89 (define @t235 () (and @t69 @t234)) % 0.62/0.89 (define @t236 () (not @t235)) % 0.62/0.89 (define @t237 () (@list true true)) % 0.62/0.89 (define @t238 () (* -1/1 @t229)) % 0.62/0.89 (define @t239 () (+ @t238 @t225)) % 0.62/0.89 (define @t240 () (* 1/1 (- @t36 @t239))) % 0.62/0.89 (define @t241 () (= @t36 @t239)) % 0.62/0.89 (define @t242 () (* -1/1 @t225)) % 0.62/0.89 (define @t243 () (+ @t39 @t242)) % 0.62/0.89 (define @t244 () (>= @t243 0/1)) % 0.62/0.89 (define @t245 () (<= 0/1 -1/1)) % 0.62/0.89 (define @t246 () (+ @t54 @t54 0/1 @t19)) % 0.62/0.89 (define @t247 () (* 0/1 @t225)) % 0.62/0.89 (define @t248 () (+ @t238 @t229 @t247 @t39 @t42 @t201)) % 0.62/0.89 (define @t249 () (+ @t36 @t229 @t242)) % 0.62/0.89 (define @t250 () (+ (* -1/1 @t243) @t238 @t249 @t220)) % 0.62/0.89 (define @t251 () (not @t244)) % 0.62/0.89 (define @t252 () (+ @t199 @t36)) % 0.62/0.89 (define @t253 () (>= @t252 0/1)) % 0.62/0.89 (define @t254 () (not @t253)) % 0.62/0.89 (define @t255 () (and @t192 @t253 @t37 @t251)) % 0.62/0.89 (define @t256 () (= false true)) % 0.62/0.89 (define @t257 () (* -1/1 (- @t191 0/1))) % 0.62/0.89 (define @t258 () (* 1/1 (- @t252 0/1))) % 0.62/0.89 (define @t259 () (= (* 1/1 (- 0/1 @t191)) @t258)) % 0.62/0.89 (define @t260 () (>= 0/1 @t191)) % 0.62/0.89 (define @t261 () (= @t260 @t253)) % 0.62/0.89 (define @t262 () (= @t39 @t225)) % 0.62/0.89 (define @t263 () (- @t242 @t242)) % 0.62/0.89 (define @t264 () (+ @t242 0/1)) % 0.62/0.89 (define @t265 () (+ @t242 @t42 @t39)) % 0.62/0.89 (define @t266 () (+ @t42 @t243)) % 0.62/0.89 (define @t267 () (>= @t266 @t264)) % 0.62/0.89 (define @t268 () (@list false false true)) % 0.62/0.89 (define @t269 () (>= @t168 1/1)) % 0.62/0.89 (define @t270 () (not @t269)) % 0.62/0.89 (define @t271 () (not @t254)) % 0.62/0.89 (define @t272 () (+ -1/1 @t54 0/1 1/1 @t54)) % 0.62/0.89 (define @t273 () (+ @t57 @t201 @t168 @t165 @t215 @t30)) % 0.62/0.89 (define @t274 () (+ @t165 @t57 @t59 @t169 @t221)) % 0.62/0.89 (define @t275 () (>= @t274 @t272)) % 0.62/0.89 (define @t276 () (= (* -1/1 (- -1/1 @t165)) (* -1/1 (- @t168 1/1)))) % 0.62/0.89 (define @t277 () (>= -1/1 @t165)) % 0.62/0.89 (define @t278 () (= @t277 @t269)) % 0.62/0.89 (define @t279 () (+ @t199 @t56)) % 0.62/0.89 (define @t280 () (>= @t279 0/1)) % 0.62/0.89 (define @t281 () (ite @t49 @t254 (not @t280))) % 0.62/0.89 (define @t282 () (>= @t199 0/1)) % 0.62/0.89 (define @t283 () (not @t282)) % 0.62/0.89 (define @t284 () (* -1/1 -1/1)) % 0.62/0.89 (define @t285 () (+ 0/1 @t19 @t284)) % 0.62/0.89 (define @t286 () (+ @t199 @t165)) % 0.62/0.89 (define @t287 () (* -1/1 @t169)) % 0.62/0.89 (define @t288 () (+ @t164 @t287 @t168)) % 0.62/0.89 (define @t289 () (>= @t288 @t285)) % 0.62/0.89 (define @t290 () (= (* -1/1 (- 0/1 @t164)) (* -1/1 (- @t199 0/1)))) % 0.62/0.89 (define @t291 () (>= 0/1 @t164)) % 0.62/0.89 (define @t292 () (= @t291 @t282)) % 0.62/0.89 (define @t293 () (>= @t164 0/1)) % 0.62/0.89 (define @t294 () (<= @t164 0/1)) % 0.62/0.89 (define @t295 () (not @t293)) % 0.62/0.89 (define @t296 () (not @t294)) % 0.62/0.89 (define @t297 () (+ @t199 @t164)) % 0.62/0.89 (define @t298 () (>= @t297 @t145)) % 0.62/0.89 (define @t299 () (> @t164 0/1)) % 0.62/0.89 (define @t300 () (not @t291)) % 0.62/0.89 (define @t301 () (+ @t164 @t36)) % 0.62/0.89 (define @t302 () (>= @t301 0/1)) % 0.62/0.89 (define @t303 () (ite @t293 @t281 (ite @t49 (not @t302) @t196))) % 0.62/0.89 (define @t304 () (* @t164 @t162)) % 0.62/0.89 (define @t305 () (= @t304 1/1)) % 0.62/0.89 (define @t306 () (@purify @t162)) % 0.62/0.89 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0/1)) % 0.62/0.89 (define @t330 () (* -1/1 @t323)) % 0.62/0.89 (define @t331 () (+ @t323 @t330)) % 0.62/0.89 (define @t332 () (>= @t331 @t315)) % 0.62/0.89 (define @t333 () (and @t328 @t324)) % 0.62/0.89 (define @t334 () (+ @t323 @t316)) % 0.62/0.89 (define @t335 () (>= @t334 0/1)) % 0.62/0.89 (define @t336 () (not @t335)) % 0.62/0.89 (define @t337 () (and @t336 @t308 @t324)) % 0.62/0.89 (define @t338 () (= true false)) % 0.62/0.89 (define @t339 () (= @t323 @t307)) % 0.62/0.89 (define @t340 () (- @t316 @t316)) % 0.62/0.89 (define @t341 () (+ @t316 0/1)) % 0.62/0.89 (define @t342 () (+ @t330 @t316 @t323)) % 0.62/0.89 (define @t343 () (+ @t330 @t334)) % 0.62/0.89 (define @t344 () (>= @t343 @t341)) % 0.62/0.89 (define @t345 () (+ @t330 @t316)) % 0.62/0.89 (define @t346 () (>= @t345 0/1)) % 0.62/0.89 (define @t347 () (ite @t326 @t336 (not @t346))) % 0.62/0.89 (define @t348 () (not @t347)) % 0.62/0.89 (define @t349 () (+ @t330 @t307)) % 0.62/0.89 (define @t350 () (>= @t349 0/1)) % 0.62/0.89 (define @t351 () (+ @t323 @t307)) % 0.62/0.89 (define @t352 () (>= @t351 0/1)) % 0.62/0.89 (define @t353 () (ite @t309 @t347 (ite @t326 (not @t352) (not @t350)))) % 0.62/0.89 (define @t354 () (not @t353)) % 0.62/0.89 (define @t355 () (- @t323)) % 0.62/0.89 (define @t356 () (- @t307)) % 0.62/0.89 (define @t357 () (<= @t356 @t355)) % 0.62/0.89 (define @t358 () (<= @t356 @t323)) % 0.62/0.89 (define @t359 () (ite @t326 (> @t356 @t323) (> @t356 @t355))) % 0.62/0.89 (define @t360 () (<= @t307 @t355)) % 0.62/0.89 (define @t361 () (>= @t323 @t307)) % 0.62/0.89 (define @t362 () (ite @t326 (> @t307 @t323) (> @t307 @t355))) % 0.62/0.89 (define @t363 () (ite @t309 @t362 @t359)) % 0.62/0.89 (define @t364 () (= @t306 0/1)) % 0.62/0.89 (define @t365 () (not @t364)) % 0.62/0.89 (define @t366 () (= @t164 0/1)) % 0.62/0.89 (define @t367 () (not @t366)) % 0.62/0.89 (define @t368 () (* -1/1 @t322)) % 0.62/0.89 (define @t369 () (+ @t368 @t306)) % 0.62/0.89 (define @t370 () (* -1/1 @t306)) % 0.62/0.89 (define @t371 () (>= @t369 0/1)) % 0.62/0.89 (define @t372 () (- @t322)) % 0.62/0.89 (define @t373 () (- @t306)) % 0.62/0.89 (define @t374 () (<= @t373 @t372)) % 0.62/0.89 (define @t375 () (+ @t322 @t306)) % 0.62/0.89 (define @t376 () (>= @t375 0/1)) % 0.62/0.89 (define @t377 () (<= @t373 @t322)) % 0.62/0.89 (define @t378 () (>= @t322 0/1)) % 0.62/0.89 (define @t379 () (ite @t378 (> @t373 @t322) (> @t373 @t372))) % 0.62/0.89 (define @t380 () (+ @t368 @t370)) % 0.62/0.89 (define @t381 () (>= @t380 0/1)) % 0.62/0.89 (define @t382 () (<= @t306 @t372)) % 0.62/0.89 (define @t383 () (+ @t322 @t370)) % 0.62/0.89 (define @t384 () (>= @t383 0/1)) % 0.62/0.89 (define @t385 () (>= @t322 @t306)) % 0.62/0.89 (define @t386 () (ite @t378 (> @t306 @t322) (> @t306 @t372))) % 0.62/0.89 (define @t387 () (>= @t306 0/1)) % 0.62/0.89 (define @t388 () (ite @t387 @t386 @t379)) % 0.62/0.89 (define @t389 () (- @t36)) % 0.62/0.89 (define @t390 () (- @t164)) % 0.62/0.89 (define @t391 () (<= @t390 @t389)) % 0.62/0.89 (define @t392 () (<= @t390 @t36)) % 0.62/0.89 (define @t393 () (ite @t49 (> @t390 @t36) (> @t390 @t389))) % 0.62/0.89 (define @t394 () (<= @t164 @t389)) % 0.62/0.89 (define @t395 () (>= @t36 @t164)) % 0.62/0.89 (define @t396 () (ite @t49 (> @t164 @t36) (> @t164 @t389))) % 0.62/0.89 (define @t397 () (ite @t293 @t396 @t393)) % 0.62/0.89 (define @t398 () (and @t397 @t388 @t367 @t365)) % 0.62/0.89 (define @t399 () (not @t384)) % 0.62/0.89 (define @t400 () (ite @t378 @t399 (not @t381))) % 0.62/0.89 (define @t401 () (ite @t387 @t400 (ite @t378 (not @t376) (not @t371)))) % 0.62/0.89 (define @t402 () (and @t303 @t401 @t367 @t365)) % 0.62/0.89 (define @t403 () (not @t402)) % 0.62/0.89 (define @t404 () (>= @t88 1/1)) % 0.62/0.89 (define @t405 () (not @t404)) % 0.62/0.89 (define @t406 () (+ @t19 @t54 1/1)) % 0.62/0.89 (define @t407 () (+ @t89 @t150 tptp.x)) % 0.62/0.89 (define @t408 () (>= @t407 @t406)) % 0.62/0.89 (define @t409 () (= @t306 @t162)) % 0.62/0.89 (define @t410 () (not @t409)) % 0.62/0.89 (define @t411 () (< @t88 1/1)) % 0.62/0.89 (define @t412 () (+ 1/1 @t19 0/1)) % 0.62/0.89 (define @t413 () (+ @t370 @t89)) % 0.62/0.89 (define @t414 () (+ @t306 @t88)) % 0.62/0.89 (define @t415 () (* -1/1 @t414)) % 0.62/0.89 (define @t416 () (+ @t88 @t415 @t306)) % 0.62/0.89 (define @t417 () (>= @t416 @t412)) % 0.62/0.89 (define @t418 () (= @t414 1/1)) % 0.62/0.89 (define @t419 () (= (* -1/1 (- @t414 1/1)) (* -1/1 (- @t306 @t162)))) % 0.62/0.89 (define @t420 () (= @t418 @t409)) % 0.62/0.89 (define @t421 () (and @t364 @t409 @t405)) % 0.62/0.89 (define @t422 () (+ 1/1 @t368)) % 0.62/0.89 (define @t423 () (* -1/1 (- tptp.x @t422))) % 0.62/0.89 (define @t424 () (= tptp.x @t422)) % 0.62/0.89 (define @t425 () (not @t424)) % 0.62/0.89 (define @t426 () (not @t378)) % 0.62/0.89 (define @t427 () (+ @t21 @t368)) % 0.62/0.89 (define @t428 () (+ tptp.x @t322)) % 0.62/0.89 (define @t429 () (* -1/1 @t428)) % 0.62/0.89 (define @t430 () (+ tptp.x @t429 @t322)) % 0.62/0.89 (define @t431 () (>= @t430 @t412)) % 0.62/0.89 (define @t432 () (= @t428 1/1)) % 0.62/0.89 (define @t433 () (= (* -1/1 (- @t428 1/1)) @t423)) % 0.62/0.89 (define @t434 () (= @t432 @t424)) % 0.62/0.89 (define @t435 () (and @t426 @t424 @t15)) % 0.62/0.89 (define @t436 () (+ @t54 @t19 1/1 @t54)) % 0.62/0.89 (define @t437 () (* 0/1 @t322)) % 0.62/0.89 (define @t438 () (= @t437 0/1)) % 0.62/0.89 (define @t439 () (+ @t306 @t370 @t437 @t88 @t89 @t146)) % 0.62/0.89 (define @t440 () (+ @t150 @t415 @t428 (* -1/1 @t383))) % 0.62/0.89 (define @t441 () (>= @t440 @t436)) % 0.62/0.89 (define @t442 () (and @t384 @t424 @t409 @t125)) % 0.62/0.89 (define @t443 () (not @t399)) % 0.62/0.89 (define @t444 () (not @t387)) % 0.62/0.89 (define @t445 () (+ 0/1 0/1 @t19 1/1)) % 0.62/0.89 (define @t446 () (+ @t370 @t306 @t437 @t146)) % 0.62/0.89 (define @t447 () (+ @t306 @t383 @t429 tptp.x)) % 0.62/0.89 (define @t448 () (>= @t447 @t445)) % 0.62/0.89 (define @t449 () (not @t401)) % 0.62/0.89 (define @t450 () (not @t303)) % 0.62/0.89 (define @t451 () (+ @t164 @t199)) % 0.62/0.89 (define @t452 () (>= @t451 @t73)) % 0.62/0.89 (define @t453 () (>= @t39 0/1)) % 0.62/0.89 (define @t454 () (not @t453)) % 0.62/0.89 (define @t455 () (not @t52)) % 0.62/0.89 (define @t456 () (+ 0/1 @t54 @t19 @t54)) % 0.62/0.89 (define @t457 () (+ @t57 @t36)) % 0.62/0.89 (define @t458 () (+ @t56 @t39)) % 0.62/0.89 (define @t459 () (= @t205 @t457)) % 0.62/0.89 (define @t460 () (= @t220 @t458)) % 0.62/0.89 (define @t461 () (+ @t30 @t42 @t220 @t205)) % 0.62/0.89 (define @t462 () (>= @t461 @t456)) % 0.62/0.89 (define @t463 () (>= @t36 1/1)) % 0.62/0.89 (define @t464 () (not @t463)) % 0.62/0.89 (define @t465 () (+ @t19 1/1 0/1)) % 0.62/0.89 (define @t466 () (+ @t56 @t42 @t39 @t36)) % 0.62/0.89 (define @t467 () (+ @t56 @t43 @t39)) % 0.62/0.89 (define @t468 () (>= @t467 @t465)) % 0.62/0.89 (define @t469 () (>= @t43 0/1)) % 0.62/0.89 (define @t470 () (not @t469)) % 0.62/0.89 (define @t471 () (< @t43 0/1)) % 0.62/0.89 (define @t472 () (+ @t217 @t201)) % 0.62/0.89 (define @t473 () (+ @t43 @t220)) % 0.62/0.89 (define @t474 () (>= @t473 @t315)) % 0.62/0.89 (define @t475 () (and @t470 @t41)) % 0.62/0.89 (define @t476 () (+ @t36 @t39)) % 0.62/0.89 (define @t477 () (>= @t476 0/1)) % 0.62/0.89 (define @t478 () (ite @t453 (not @t477) @t470)) % 0.62/0.89 (define @t479 () (>= @t56 1/1)) % 0.62/0.89 (define @t480 () (not @t479)) % 0.62/0.89 (define @t481 () (ite @t49 @t464 @t480)) % 0.62/0.89 (define @t482 () (not @t464)) % 0.62/0.89 (define @t483 () (+ @t56 @t42)) % 0.62/0.89 (define @t484 () (>= @t483 0/1)) % 0.62/0.89 (define @t485 () (>= @t458 0/1)) % 0.62/0.89 (define @t486 () (ite @t49 (ite @t453 (not @t485) (not @t484)) @t478)) % 0.62/0.89 (define @t487 () (- @t39)) % 0.62/0.89 (define @t488 () (<= @t389 @t487)) % 0.62/0.89 (define @t489 () (<= @t389 @t39)) % 0.62/0.89 (define @t490 () (ite @t453 (> @t389 @t39) (> @t389 @t487))) % 0.62/0.89 (define @t491 () (<= @t36 @t487)) % 0.62/0.89 (define @t492 () (>= @t39 @t36)) % 0.62/0.89 (define @t493 () (ite @t453 (> @t36 @t39) (> @t36 @t487))) % 0.62/0.89 (define @t494 () (ite @t49 @t493 @t490)) % 0.62/0.89 (define @t495 () (= @t36 0/1)) % 0.62/0.89 (define @t496 () (not @t495)) % 0.62/0.89 (define @t497 () (and @t115 @t496)) % 0.62/0.89 (define @t498 () (abs @t39)) % 0.62/0.89 (define @t499 () (abs @t36)) % 0.62/0.89 (define @t500 () (+ (* -1/1 @t499) @t498)) % 0.62/0.89 (define @t501 () (>= @t498 @t499)) % 0.62/0.89 (define @t502 () (* 1/1 @t36)) % 0.62/0.89 (define @t503 () (abs @t502)) % 0.62/0.89 (define @t504 () (<= @t503 @t498)) % 0.62/0.89 (define @t505 () (and @t80 @t496)) % 0.62/0.89 (define @t506 () (+ @t54 -1/1)) % 0.62/0.89 (define @t507 () (+ @t56 @t36)) % 0.62/0.89 (define @t508 () (and @t80 @t481)) % 0.62/0.89 (define @t509 () (>= @t42 1/1)) % 0.62/0.89 (define @t510 () (not @t509)) % 0.62/0.89 (define @t511 () (not (>= @t39 1/1))) % 0.62/0.89 (define @t512 () (ite @t453 @t511 @t510)) % 0.62/0.89 (define @t513 () (<= @t4 @t487)) % 0.62/0.89 (define @t514 () (<= @t4 @t39)) % 0.62/0.89 (define @t515 () (ite @t453 (> @t4 @t39) (> @t4 @t487))) % 0.62/0.89 (define @t516 () (<= 1/1 @t487)) % 0.62/0.89 (define @t517 () (ite @t453 (> 1/1 @t39) (> 1/1 @t487))) % 0.62/0.89 (define @t518 () (ite @t114 @t517 @t515)) % 0.62/0.89 (define @t519 () (<= @t4 @t389)) % 0.62/0.89 (define @t520 () (<= @t4 @t36)) % 0.62/0.89 (define @t521 () (ite @t49 (> @t4 @t36) (> @t4 @t389))) % 0.62/0.89 (define @t522 () (<= 1/1 @t389)) % 0.62/0.89 (define @t523 () (ite @t49 (> 1/1 @t36) (> 1/1 @t389))) % 0.62/0.89 (define @t524 () (ite @t114 @t523 @t521)) % 0.62/0.89 (define @t525 () (and @t115 @t524)) % 0.62/0.89 (define @t526 () (abs 1/1)) % 0.62/0.89 (define @t527 () (<= @t526 @t498)) % 0.62/0.89 (define @t528 () (* 1/1 1/1)) % 0.62/0.89 (define @t529 () (abs @t528)) % 0.62/0.89 (define @t530 () (<= @t529 @t498)) % 0.62/0.89 (define @t531 () (>= -1/1 @t39)) % 0.62/0.89 (define @t532 () (> @t39 -1/1)) % 0.62/0.89 (define @t533 () (+ @t284 @t54 0/1 @t19)) % 0.62/0.89 (define @t534 () (+ @t42 @t205 @t30 @t220)) % 0.62/0.89 (define @t535 () (>= @t534 @t533)) % 0.62/0.89 (define @t536 () (and @t41 @t52 @t37 @t510)) % 0.62/0.89 (assume @p1 @t1) % 0.62/0.89 (assume @p2 @t2) % 0.62/0.89 (assume @p3 @t11) % 0.62/0.89 (assume @p4 true) % 0.62/0.89 (step @p5 :rule arith-elim-lt :args (tptp.x 1/1)) % 0.62/0.89 (step @p6 :rule eq_resolve :premises (@p2 @p5)) % 0.62/0.89 (step @p7 :rule refl :args (@t13)) % 0.62/0.89 (step @p8 :rule bool-double-not-elim :args (@t14)) % 0.62/0.89 (step @p9 :rule nary_cong :premises (@p8 @p7) :args ((or @t16 @t13))) % 0.62/0.89 (assume-push @p2184 @t15) % 0.62/0.89 (assume-push @p2185 @t12) % 0.62/0.89 (step @p12 :rule evaluate :args (@t17)) % 0.62/0.89 (step @p13 :rule evaluate :args (@t18)) % 0.62/0.89 (step @p14 :rule evaluate :args ((+ -1/1 1/1))) % 0.62/0.89 (step @p15 :rule refl :args (1/1)) % 0.62/0.89 (step @p16 :rule evaluate :args (@t19)) % 0.62/0.89 (step @p17 :rule nary_cong :premises (@p16 @p15) 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(false)) % 0.75/0.90 (assume-push @p2464 @t37) % 0.75/0.90 (assume-push @p2465 @t41) % 0.75/0.90 (assume-push @p2466 @t510) % 0.75/0.90 (assume-push @p2467 @t52) % 0.75/0.90 (step @p2173 :rule and_intro :premises (@p2465 @p2467 @p2464 @p2466)) % 0.75/0.90 (step-pop @p2468 :rule scope :premises (@p2173)) % 0.75/0.90 (step-pop @p2469 :rule scope :premises (@p2468)) % 0.75/0.90 (step-pop @p2470 :rule scope :premises (@p2469)) % 0.75/0.90 (step-pop @p2471 :rule scope :premises (@p2470)) % 0.75/0.90 (step @p2174 :rule process_scope :premises (@p2471) :args (@t536)) % 0.75/0.90 (step @p2179 :rule implies_elim :premises (@p2174)) % 0.75/0.90 (step @p2180 :rule resolution :premises (@p2179 @p2164) :args (true @t536)) % 0.75/0.90 (step @p2181 :rule not_and :premises (@p2180)) % 0.75/0.90 (step @p2182 :rule eq_resolve :premises (@p2181 @p2111)) % 0.75/0.90 (step @p2183 false :rule chain_m_resolution :premises (@p2182 @p2109 @p1706 @p80 @p63) :args (false (@list true true false false) (@list @t509 @t51 @t41 @t37))) % 0.75/0.90 ) % 0.75/0.90 % SZS output end Proof % 0.75/0.90 % cvc5 exiting %------------------------------------------------------------------------------