%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : ARI668_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 : n015.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 08:08:05 AM UTC 2026 % Result : Theorem 0.44s 0.67s % Output : Proof 0.44s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : ARI668_1 : TPTP v9.2.1. Released v6.3.0. % 0.12/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.17/0.34 % Computer : n015.cluster.edu % 0.17/0.34 % Model : x86_64 x86_64 % 0.17/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.17/0.34 % Memory : 8042.1875MB % 0.17/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.17/0.34 % CPULimit : 300 % 0.17/0.34 % WCLimit : 300 % 0.17/0.34 % DateTime : Wed Jun 3 02:32:04 EDT 2026 % 0.17/0.34 % CPUTime : % 0.32/0.50 %----Proving TF0_ARI % 0.44/0.67 --- Run --finite-model-find --decision=internal at 45... % 0.44/0.67 % SZS status Theorem % 0.44/0.67 % SZS output start Proof % 0.44/0.67 ( % 0.44/0.67 (declare-const tptp.c Int) % 0.44/0.67 (declare-const tptp.a Int) % 0.44/0.67 (declare-const tptp.b Int) % 0.44/0.67 (define @t1 () (* 7 tptp.b)) % 0.44/0.67 (define @t2 () (+ (* 11 tptp.a) @t1)) % 0.44/0.67 (define @t3 () (= @t2 1)) % 0.44/0.67 (define @t4 () (* tptp.a tptp.c)) % 0.44/0.67 (define @t5 () (>= 0 @t4)) % 0.44/0.67 (define @t6 () (<= 4 @t4)) % 0.44/0.67 (define @t7 () (or @t6 @t5)) % 0.44/0.67 (define @t8 () (not @t7)) % 0.44/0.67 (define @t9 () (+ 1 (* -11 tptp.a))) % 0.44/0.67 (define @t10 () (= @t1 @t9)) % 0.44/0.67 (define @t11 () (* -1 tptp.c)) % 0.44/0.67 (define @t12 () (+ tptp.a @t11)) % 0.44/0.67 (define @t13 () (+ tptp.c 1)) % 0.44/0.67 (define @t14 () (>= @t12 1)) % 0.44/0.67 (define @t15 () (>= tptp.a @t13)) % 0.44/0.67 (define @t16 () (>= tptp.c 2)) % 0.44/0.67 (define @t17 () (not @t10)) % 0.44/0.67 (define @t18 () (+ (* 3 tptp.a) (* 2 tptp.b))) % 0.44/0.67 (define @t19 () (>= @t18 1)) % 0.44/0.67 (define @t20 () (not @t16)) % 0.44/0.67 (define @t21 () (not @t20)) % 0.44/0.67 (define @t22 () (not @t14)) % 0.44/0.67 (define @t23 () (not @t22)) % 0.44/0.67 (define @t24 () (not @t19)) % 0.44/0.67 (define @t25 () (not @t24)) % 0.44/0.67 (define @t26 () (not true)) % 0.44/0.67 (define @t27 () (>= 0 0)) % 0.44/0.67 (define @t28 () (* -2 1)) % 0.44/0.67 (define @t29 () (* 7 0)) % 0.44/0.67 (define @t30 () (+ 2 @t29 @t28 0)) % 0.44/0.67 (define @t31 () (* -22 tptp.a)) % 0.44/0.67 (define @t32 () (* -14 tptp.b)) % 0.44/0.67 (define @t33 () (* 21 tptp.a)) % 0.44/0.67 (define @t34 () (* 14 tptp.b)) % 0.44/0.67 (define @t35 () (+ @t34 @t33 @t11 @t32 @t31 tptp.c tptp.a)) % 0.44/0.67 (define @t36 () (= @t35 0)) % 0.44/0.67 (define @t37 () (* -2 @t2)) % 0.44/0.67 (define @t38 () (* 7 @t18)) % 0.44/0.67 (define @t39 () (+ tptp.c @t38 @t37 @t12)) % 0.44/0.67 (define @t40 () (>= @t39 @t30)) % 0.44/0.67 (define @t41 () (< -2 0)) % 0.44/0.67 (define @t42 () (<= @t18 0)) % 0.44/0.67 (define @t43 () (> 7 0)) % 0.44/0.67 (define @t44 () (>= tptp.a 2)) % 0.44/0.67 (define @t45 () (not @t44)) % 0.44/0.67 (define @t46 () (+ 2 @t29 @t28)) % 0.44/0.67 (define @t47 () (+ @t31 @t32)) % 0.44/0.67 (define @t48 () (+ @t33 @t34)) % 0.44/0.67 (define @t49 () (+ tptp.a @t38 @t37)) % 0.44/0.67 (define @t50 () (>= @t49 @t46)) % 0.44/0.67 (define @t51 () (>= tptp.c 1)) % 0.44/0.67 (define @t52 () (+ 1 1)) % 0.44/0.67 (define @t53 () (>= tptp.c @t52)) % 0.44/0.67 (define @t54 () (<= tptp.c 1)) % 0.44/0.67 (define @t55 () (not @t51)) % 0.44/0.67 (define @t56 () (not @t54)) % 0.44/0.67 (define @t57 () (+ -1 1)) % 0.44/0.67 (define @t58 () (* -1 1)) % 0.44/0.67 (define @t59 () (+ @t58 1)) % 0.44/0.67 (define @t60 () (+ @t11 tptp.c)) % 0.44/0.67 (define @t61 () (= @t60 0)) % 0.44/0.67 (define @t62 () (>= @t60 @t59)) % 0.44/0.67 (define @t63 () (> tptp.c 1)) % 0.44/0.67 (define @t64 () (not (>= 1 tptp.c))) % 0.44/0.67 (define @t65 () (< -1 0)) % 0.44/0.67 (define @t66 () (and @t51 @t44)) % 0.44/0.67 (define @t67 () (* 2 tptp.c)) % 0.44/0.67 (define @t68 () (* tptp.a tptp.c)) % 0.44/0.67 (define @t69 () (* -1 @t68)) % 0.44/0.67 (define @t70 () (+ @t67 @t69)) % 0.44/0.67 (define @t71 () (+ @t70 1)) % 0.44/0.67 (define @t72 () (* -1 -2)) % 0.44/0.67 (define @t73 () (* tptp.c @t72)) % 0.44/0.67 (define @t74 () (* tptp.c tptp.a)) % 0.44/0.67 (define @t75 () (>= @t74 @t73)) % 0.44/0.67 (define @t76 () (+ 0 1)) % 0.44/0.67 (define @t77 () (>= tptp.c @t76)) % 0.44/0.67 (define @t78 () (> tptp.c 0)) % 0.44/0.67 (define @t79 () (and @t78 @t44)) % 0.44/0.67 (define @t80 () (>= tptp.a @t72)) % 0.44/0.67 (define @t81 () (and @t78 @t80)) % 0.44/0.67 (define @t82 () (>= @t70 1)) % 0.44/0.67 (define @t83 () (not @t82)) % 0.44/0.67 (define @t84 () (+ @t68 1)) % 0.44/0.67 (define @t85 () (>= @t68 4)) % 0.44/0.67 (define @t86 () (not @t85)) % 0.44/0.67 (define @t87 () (not @t86)) % 0.44/0.67 (define @t88 () (+ 3 1)) % 0.44/0.67 (define @t89 () (>= @t68 @t88)) % 0.44/0.67 (define @t90 () (<= @t68 3)) % 0.44/0.67 (define @t91 () (* 14 0)) % 0.44/0.67 (define @t92 () (* -4 1)) % 0.44/0.67 (define @t93 () (* 2 0)) % 0.44/0.67 (define @t94 () (+ 3 @t93 @t92 @t91 1)) % 0.44/0.67 (define @t95 () (+ @t67 (* 28 tptp.b) (* 42 tptp.a) @t69 @t68 (* -2 tptp.c) (* -28 tptp.b) (* -44 tptp.a) (* 2 tptp.a))) % 0.44/0.67 (define @t96 () (+ @t68 (* 2 @t12) (* -4 @t2) (* 14 @t18) @t70)) % 0.44/0.67 (define @t97 () (>= @t96 @t94)) % 0.44/0.67 (define @t98 () (> 2 0)) % 0.44/0.67 (define @t99 () (and @t83 @t24 @t10 @t22 @t86)) % 0.44/0.67 (define @t100 () (+ tptp.a @t68)) % 0.44/0.67 (define @t101 () (>= @t100 0)) % 0.44/0.67 (define @t102 () (not @t101)) % 0.44/0.67 (define @t103 () (<= 0 -2)) % 0.44/0.67 (define @t104 () (* -7 1)) % 0.44/0.67 (define @t105 () (* 2 1)) % 0.44/0.67 (define @t106 () (* -1 0)) % 0.44/0.67 (define @t107 () (+ @t106 3 @t105 @t104)) % 0.44/0.67 (define @t108 () (+ (* -21 tptp.a) @t32)) % 0.44/0.67 (define @t109 () (+ (* 22 tptp.a) @t34)) % 0.44/0.67 (define @t110 () (* -1 tptp.a)) % 0.44/0.67 (define @t111 () (+ @t110 @t69)) % 0.44/0.67 (define @t112 () (* -7 @t18)) % 0.44/0.67 (define @t113 () (= @t112 @t108)) % 0.44/0.67 (define @t114 () (* 2 @t2)) % 0.44/0.67 (define @t115 () (= @t114 @t109)) % 0.44/0.67 (define @t116 () (* -1 @t100)) % 0.44/0.67 (define @t117 () (+ @t116 @t68 @t114 @t112)) % 0.44/0.67 (define @t118 () (< -7 0)) % 0.44/0.67 (define @t119 () (= @t68 0)) % 0.44/0.67 (define @t120 () (>= @t68 1)) % 0.44/0.67 (define @t121 () (<= 0 -1)) % 0.44/0.67 (define @t122 () (+ 0 -1)) % 0.44/0.67 (define @t123 () (+ 0 @t58)) % 0.44/0.67 (define @t124 () (+ @t68 @t69)) % 0.44/0.67 (define @t125 () (= @t124 0)) % 0.44/0.67 (define @t126 () (and @t119 @t120)) % 0.44/0.67 (define @t127 () (@list false)) % 0.44/0.67 (define @t128 () (@list @t120)) % 0.44/0.67 (define @t129 () (= tptp.c 0)) % 0.44/0.67 (define @t130 () (= (* tptp.a 0) 0)) % 0.44/0.67 (define @t131 () (not @t129)) % 0.44/0.67 (define @t132 () (@list true)) % 0.44/0.67 (define @t133 () (>= tptp.a -1)) % 0.44/0.67 (define @t134 () (<= 0 -4)) % 0.44/0.67 (define @t135 () (* -1 -1)) % 0.44/0.67 (define @t136 () (+ @t135 @t104 @t105)) % 0.44/0.67 (define @t137 () (+ @t110 @t112 @t114)) % 0.44/0.67 (define @t138 () (not @t133)) % 0.44/0.67 (define @t139 () (= tptp.a 0)) % 0.44/0.67 (define @t140 () (not @t139)) % 0.44/0.67 (define @t141 () (not @t138)) % 0.44/0.67 (define @t142 () (+ 0 -2)) % 0.44/0.67 (define @t143 () (+ @t106 -2)) % 0.44/0.67 (define @t144 () (+ @t110 tptp.a)) % 0.44/0.67 (define @t145 () (= @t144 0)) % 0.44/0.67 (define @t146 () (<= @t144 @t143)) % 0.44/0.67 (define @t147 () (@list @t133)) % 0.44/0.67 (define @t148 () (>= tptp.c -1)) % 0.44/0.67 (define @t149 () (not @t148)) % 0.44/0.67 (define @t150 () (>= tptp.c 0)) % 0.44/0.67 (define @t151 () (ite @t150 @t16 @t149)) % 0.44/0.67 (define @t152 () (not @t151)) % 0.44/0.67 (define @t153 () (and @t151 @t140 @t131)) % 0.44/0.67 (define @t154 () (not @t131)) % 0.44/0.67 (define @t155 () (not @t140)) % 0.44/0.67 (define @t156 () (>= tptp.a 0)) % 0.44/0.67 (define @t157 () (not @t156)) % 0.44/0.67 (define @t158 () (ite @t156 @t44 @t138)) % 0.44/0.67 (define @t159 () (@list true true)) % 0.44/0.67 (define @t160 () (not @t158)) % 0.44/0.67 (define @t161 () (and @t158 @t151 @t140 @t131)) % 0.44/0.67 (define @t162 () (+ tptp.a @t69)) % 0.44/0.67 (define @t163 () (>= @t162 1)) % 0.44/0.67 (define @t164 () (+ @t110 1)) % 0.44/0.67 (define @t165 () (>= @t69 @t164)) % 0.44/0.67 (define @t166 () (- tptp.a)) % 0.44/0.67 (define @t167 () (- @t68)) % 0.44/0.67 (define @t168 () (<= @t167 @t166)) % 0.44/0.67 (define @t169 () (* 1 (- @t100 0))) % 0.44/0.67 (define @t170 () (* 1 (- tptp.a @t69))) % 0.44/0.67 (define @t171 () (<= @t167 tptp.a)) % 0.44/0.67 (define @t172 () (ite @t156 (> @t167 tptp.a) (> @t167 @t166))) % 0.44/0.67 (define @t173 () (>= @t100 1)) % 0.44/0.67 (define @t174 () (>= @t68 @t164)) % 0.44/0.67 (define @t175 () (<= @t68 @t166)) % 0.44/0.67 (define @t176 () (* 1 (- @t162 0))) % 0.44/0.67 (define @t177 () (- tptp.a @t68)) % 0.44/0.67 (define @t178 () (* 1 @t177)) % 0.44/0.67 (define @t179 () (>= @t162 0)) % 0.44/0.67 (define @t180 () (>= tptp.a @t68)) % 0.44/0.67 (define @t181 () (ite @t156 (> @t68 tptp.a) (> @t68 @t166))) % 0.44/0.67 (define @t182 () (>= @t68 0)) % 0.44/0.67 (define @t183 () (ite @t182 @t181 @t172)) % 0.44/0.67 (define @t184 () (- 1)) % 0.44/0.67 (define @t185 () (- tptp.c)) % 0.44/0.67 (define @t186 () (<= @t185 @t184)) % 0.44/0.67 (define @t187 () (<= @t185 1)) % 0.44/0.67 (define @t188 () (>= 1 0)) % 0.44/0.67 (define @t189 () (ite @t188 (> @t185 1) (> @t185 @t184))) % 0.44/0.67 (define @t190 () (>= tptp.c @t57)) % 0.44/0.67 (define @t191 () (<= tptp.c @t184)) % 0.44/0.67 (define @t192 () (ite @t188 @t63 (> tptp.c @t184))) % 0.44/0.67 (define @t193 () (ite @t150 @t192 @t189)) % 0.44/0.67 (define @t194 () (and @t193 @t140 @t131)) % 0.44/0.67 (define @t195 () (abs @t68)) % 0.44/0.67 (define @t196 () (abs tptp.a)) % 0.44/0.67 (define @t197 () (+ @t196 (* -1 @t195))) % 0.44/0.67 (define @t198 () (>= @t196 @t195)) % 0.44/0.67 (define @t199 () (* 1 tptp.a)) % 0.44/0.67 (define @t200 () (abs @t199)) % 0.44/0.67 (define @t201 () (* tptp.c tptp.a)) % 0.44/0.67 (define @t202 () (abs @t201)) % 0.44/0.67 (define @t203 () (<= @t202 @t200)) % 0.44/0.67 (define @t204 () (ite @t156 (not @t179) @t173)) % 0.44/0.67 (define @t205 () (ite @t182 @t204 (ite @t156 @t102 @t163))) % 0.44/0.67 (define @t206 () (>= @t68 -1)) % 0.44/0.67 (define @t207 () (not @t206)) % 0.44/0.67 (define @t208 () (not @t120)) % 0.44/0.67 (define @t209 () (<= @t167 @t184)) % 0.44/0.67 (define @t210 () (<= @t167 1)) % 0.44/0.67 (define @t211 () (ite @t188 (> @t167 1) (> @t167 @t184))) % 0.44/0.67 (define @t212 () (>= @t68 2)) % 0.44/0.67 (define @t213 () (>= @t68 @t57)) % 0.44/0.67 (define @t214 () (<= @t68 @t184)) % 0.44/0.67 (define @t215 () (>= @t68 @t52)) % 0.44/0.67 (define @t216 () (ite @t188 (> @t68 1) (> @t68 @t184))) % 0.44/0.67 (define @t217 () (ite @t182 @t216 @t211)) % 0.44/0.67 (define @t218 () (>= tptp.a 1)) % 0.44/0.67 (define @t219 () (<= @t166 @t184)) % 0.44/0.67 (define @t220 () (<= @t166 1)) % 0.44/0.67 (define @t221 () (ite @t188 (> @t166 1) (> @t166 @t184))) % 0.44/0.67 (define @t222 () (>= tptp.a @t57)) % 0.44/0.67 (define @t223 () (<= tptp.a @t184)) % 0.44/0.67 (define @t224 () (>= tptp.a @t52)) % 0.44/0.67 (define @t225 () (ite @t188 (> tptp.a 1) (> tptp.a @t184))) % 0.44/0.67 (define @t226 () (ite @t156 @t225 @t221)) % 0.44/0.67 (define @t227 () (and @t226 @t193 @t140 @t131)) % 0.44/0.67 (define @t228 () (>= @t195 @t52)) % 0.44/0.67 (define @t229 () (abs 1)) % 0.44/0.67 (define @t230 () (<= @t195 @t229)) % 0.44/0.67 (define @t231 () (* 1 1)) % 0.44/0.67 (define @t232 () (abs @t231)) % 0.44/0.67 (define @t233 () (<= @t195 @t232)) % 0.44/0.67 (define @t234 () (ite @t182 @t212 @t207)) % 0.44/0.67 (define @t235 () (not @t173)) % 0.44/0.67 (define @t236 () (not @t102)) % 0.44/0.67 (define @t237 () (+ @t58 -1)) % 0.44/0.67 (define @t238 () (+ 0 0)) % 0.44/0.67 (define @t239 () (* 0 tptp.a)) % 0.44/0.67 (define @t240 () (= @t239 0)) % 0.44/0.67 (define @t241 () (* 0 @t68)) % 0.44/0.67 (define @t242 () (= @t241 0)) % 0.44/0.67 (define @t243 () (+ @t241 @t239)) % 0.44/0.67 (define @t244 () (+ @t116 @t100)) % 0.44/0.67 (define @t245 () (= @t244 @t243)) % 0.44/0.67 (define @t246 () (not @t204)) % 0.44/0.67 (define @t247 () (+ -2 1)) % 0.44/0.67 (define @t248 () (>= @t68 @t247)) % 0.44/0.67 (define @t249 () (<= @t68 -2)) % 0.44/0.67 (define @t250 () (+ -2 @t58)) % 0.44/0.67 (define @t251 () (and @t207 @t120)) % 0.44/0.67 (define @t252 () (not @t149)) % 0.44/0.67 (define @t253 () (not @t150)) % 0.44/0.67 (define @t254 () (= tptp.a @t68)) % 0.44/0.67 (define @t255 () (= @t68 tptp.a)) % 0.44/0.67 (define @t256 () (= tptp.c 1)) % 0.44/0.67 (define @t257 () (= (* tptp.a 1) tptp.a)) % 0.44/0.67 (define @t258 () (not @t256)) % 0.44/0.67 (define @t259 () (= @t162 0)) % 0.44/0.67 (define @t260 () (+ @t106 @t104 @t105 @t135)) % 0.44/0.67 (define @t261 () (+ @t110 @t68)) % 0.44/0.67 (define @t262 () (* -1 @t162)) % 0.44/0.67 (define @t263 () (+ @t262 @t112 @t114 @t69)) % 0.44/0.67 (define @t264 () (and @t206 @t10 @t19 @t254)) % 0.44/0.67 (define @t265 () (< @t12 1)) % 0.44/0.67 (define @t266 () (+ 1 @t28 @t29 1)) % 0.44/0.67 (define @t267 () (+ @t12 @t37 @t38 tptp.c)) % 0.44/0.67 (define @t268 () (>= @t267 @t266)) % 0.44/0.67 (define @t269 () (and @t256 @t24 @t10 @t22)) % 0.44/0.67 (define @t270 () (and @t258 @t20 @t131 @t150)) % 0.44/0.67 (define @t271 () (= tptp.c -1)) % 0.44/0.67 (define @t272 () (not @t271)) % 0.44/0.67 (define @t273 () (and @t272 @t253 @t148)) % 0.44/0.67 (define @t274 () (= tptp.a @t69)) % 0.44/0.67 (define @t275 () (= @t68 @t110)) % 0.44/0.67 (define @t276 () (= (* tptp.a -1) @t110)) % 0.44/0.67 (define @t277 () (not @t274)) % 0.44/0.67 (define @t278 () (= @t100 0)) % 0.44/0.67 (define @t279 () (+ @t106 -1)) % 0.44/0.67 (define @t280 () (and @t274 @t102)) % 0.44/0.67 (assume @p1 @t3) % 0.44/0.67 (assume @p2 (<= tptp.a tptp.c)) % 0.44/0.67 (assume @p3 @t8) % 0.44/0.67 (assume @p4 true) % 0.44/0.67 (step @p5 :rule arith_poly_norm :args ((= (* -1 (- @t2 1)) (* -1 (- @t1 @t9))))) % 0.44/0.67 (step @p6 :rule arith_poly_norm_rel :premises (@p5) :args ((= @t3 @t10))) % 0.44/0.67 (step @p7 :rule eq_resolve :premises (@p1 @p6)) % 0.44/0.67 (step @p8 :rule arith_poly_norm :args ((= (* -1 (- tptp.a @t13)) (* -1 (- @t12 1))))) % 0.44/0.67 (step @p9 :rule arith_poly_norm_rel :premises (@p8) :args ((= @t15 @t14))) % 0.44/0.67 (step @p10 :rule cong :premises (@p9) :args ((not @t15))) % 0.44/0.67 (step @p11 :rule arith-leq-norm :args (tptp.a tptp.c)) % 0.44/0.67 (step @p12 :rule trans :premises (@p11 @p10)) % 0.44/0.67 (step @p13 :rule eq_resolve :premises (@p2 @p12)) % 0.44/0.67 (step @p14 :rule bool-double-not-elim :args (@t16)) % 0.44/0.67 (step @p15 :rule bool-double-not-elim :args (@t14)) % 0.44/0.67 (step @p16 :rule refl :args (@t17)) % 0.44/0.67 (step @p17 :rule bool-double-not-elim :args (@t19)) % 0.44/0.67 (step @p18 :rule nary_cong :premises (@p17 @p16 @p15 @p14) :args ((or @t25 @t17 @t23 @t21))) % 0.44/0.67 (assume-push @p1238 @t24) % 0.44/0.67 (assume-push @p1239 @t10) % 0.44/0.67 (assume-push @p1240 @t22) % 0.44/0.67 (assume-push @p1241 @t20) % 0.44/0.67 (step @p23 :rule evaluate :args (@t26)) % 0.44/0.67 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(step @p1236 :rule eq_resolve :premises (@p1235 @p1202)) % 0.44/0.67 (step @p1237 false :rule chain_m_resolution :premises (@p1236 @p1200 @p360) :args (false (@list false true) (@list @t274 @t101))) % 0.44/0.67 ) % 0.44/0.67 % SZS output end Proof % 0.44/0.67 % cvc5 exiting %------------------------------------------------------------------------------