%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : ARI656_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 : n022.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 08:08:04 AM UTC 2026 % Result : Theorem 0.45s 0.68s % Output : Proof 0.45s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : ARI656_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 % 0.15/0.34 % Computer : n022.cluster.edu % 0.15/0.34 % Model : x86_64 x86_64 % 0.15/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.15/0.34 % Memory : 8042.1875MB % 0.15/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.15/0.34 % CPULimit : 300 % 0.15/0.34 % WCLimit : 300 % 0.15/0.34 % DateTime : Wed Jun 3 02:31:23 EDT 2026 % 0.15/0.34 % CPUTime : % 0.28/0.49 %----Proving TF0_ARI % 0.45/0.68 --- Run --finite-model-find --decision=internal at 45... % 0.45/0.68 % SZS status Theorem % 0.45/0.68 % SZS output start Proof % 0.45/0.68 ( % 0.45/0.68 (declare-const tptp.a Int) % 0.45/0.68 (declare-const tptp.c Int) % 0.45/0.68 (declare-const tptp.b Int) % 0.45/0.68 (define @t1 () (<= tptp.c tptp.b)) % 0.45/0.68 (define @t2 () (* tptp.a tptp.b)) % 0.45/0.68 (define @t3 () (* tptp.a tptp.c)) % 0.45/0.68 (define @t4 () (<= @t3 @t2)) % 0.45/0.68 (define @t5 () (not @t4)) % 0.45/0.68 (define @t6 () (* -1 tptp.c)) % 0.45/0.68 (define @t7 () (+ tptp.b @t6)) % 0.45/0.68 (define @t8 () (* 1 (- @t7 0))) % 0.45/0.68 (define @t9 () (* 1 (- tptp.b tptp.c))) % 0.45/0.68 (define @t10 () (>= @t7 0)) % 0.45/0.68 (define @t11 () (>= tptp.b tptp.c)) % 0.45/0.68 (define @t12 () (* tptp.b tptp.a)) % 0.45/0.68 (define @t13 () (* -1 @t12)) % 0.45/0.68 (define @t14 () (* tptp.c tptp.a)) % 0.45/0.68 (define @t15 () (+ @t14 @t13)) % 0.45/0.68 (define @t16 () (>= @t15 1)) % 0.45/0.68 (define @t17 () (* -1 (- @t15 1))) % 0.45/0.68 (define @t18 () (+ @t12 1)) % 0.45/0.68 (define @t19 () (>= @t14 @t18)) % 0.45/0.68 (define @t20 () (>= @t7 1)) % 0.45/0.68 (define @t21 () (not @t16)) % 0.45/0.68 (define @t22 () (not @t10)) % 0.45/0.68 (define @t23 () (not @t20)) % 0.45/0.68 (define @t24 () (and @t10 @t23 @t16)) % 0.45/0.68 (define @t25 () (= false true)) % 0.45/0.68 (define @t26 () (+ -1 @t12)) % 0.45/0.68 (define @t27 () (- @t26 @t12)) % 0.45/0.68 (define @t28 () (* -1 1)) % 0.45/0.68 (define @t29 () (+ @t12 @t28)) % 0.45/0.68 (define @t30 () (* -1 @t14)) % 0.45/0.68 (define @t31 () (+ @t30 @t12)) % 0.45/0.68 (define @t32 () (* -1 @t15)) % 0.45/0.68 (define @t33 () (= @t32 @t31)) % 0.45/0.68 (define @t34 () (+ @t14 @t32)) % 0.45/0.68 (define @t35 () (< -1 0)) % 0.45/0.68 (define @t36 () (= @t12 0)) % 0.45/0.68 (define @t37 () (>= @t12 2)) % 0.45/0.68 (define @t38 () (<= 0 -2)) % 0.45/0.68 (define @t39 () (* -1 2)) % 0.45/0.68 (define @t40 () (+ 0 @t39)) % 0.45/0.68 (define @t41 () (+ @t12 @t13)) % 0.45/0.68 (define @t42 () (= @t41 0)) % 0.45/0.68 (define @t43 () (>= @t14 1)) % 0.45/0.68 (define @t44 () (not @t36)) % 0.45/0.68 (define @t45 () (not @t43)) % 0.45/0.68 (define @t46 () (not true)) % 0.45/0.68 (define @t47 () (>= 0 0)) % 0.45/0.68 (define @t48 () (+ 1 0 -1)) % 0.45/0.68 (define @t49 () (* -1 0)) % 0.45/0.68 (define @t50 () (+ 1 @t49 @t28)) % 0.45/0.68 (define @t51 () (= (+ @t14 @t13 @t31) 0)) % 0.45/0.68 (define @t52 () (+ @t14 @t13 @t32)) % 0.45/0.68 (define @t53 () (>= @t52 @t50)) % 0.45/0.68 (define @t54 () (+ @t14 @t12)) % 0.45/0.68 (define @t55 () (>= @t54 1)) % 0.45/0.68 (define @t56 () (not @t55)) % 0.45/0.68 (define @t57 () (* -2 0)) % 0.45/0.68 (define @t58 () (+ 1 @t57 @t28)) % 0.45/0.68 (define @t59 () (* -2 @t12)) % 0.45/0.68 (define @t60 () (= (+ @t59 @t12 @t12 0) 0)) % 0.45/0.68 (define @t61 () (* 0 @t14)) % 0.45/0.68 (define @t62 () (= @t61 0)) % 0.45/0.68 (define @t63 () (+ @t59 @t12 @t12 @t61)) % 0.45/0.68 (define @t64 () (+ @t54 @t59 @t32)) % 0.45/0.68 (define @t65 () (>= @t64 @t58)) % 0.45/0.68 (define @t66 () (< -2 0)) % 0.45/0.68 (define @t67 () (>= @t14 0)) % 0.45/0.68 (define @t68 () (+ 0 1)) % 0.45/0.68 (define @t69 () (>= @t14 @t68)) % 0.45/0.68 (define @t70 () (<= @t14 0)) % 0.45/0.68 (define @t71 () (not @t67)) % 0.45/0.68 (define @t72 () (not @t71)) % 0.45/0.68 (define @t73 () (not @t70)) % 0.45/0.68 (define @t74 () (+ 0 0)) % 0.45/0.68 (define @t75 () (+ @t49 0)) % 0.45/0.68 (define @t76 () (+ @t30 @t14)) % 0.45/0.68 (define @t77 () (>= @t76 @t75)) % 0.45/0.68 (define @t78 () (>= @t15 0)) % 0.45/0.68 (define @t79 () (not @t78)) % 0.45/0.68 (define @t80 () (+ -1 1)) % 0.45/0.68 (define @t81 () (>= @t15 @t80)) % 0.45/0.68 (define @t82 () (<= @t15 -1)) % 0.45/0.68 (define @t83 () (+ -1 @t28)) % 0.45/0.68 (define @t84 () (* 0 @t12)) % 0.45/0.68 (define @t85 () (= @t84 0)) % 0.45/0.68 (define @t86 () (+ @t84 @t61)) % 0.45/0.68 (define @t87 () (+ @t15 @t32)) % 0.45/0.68 (define @t88 () (and @t79 @t16)) % 0.45/0.68 (define @t89 () (@list false)) % 0.45/0.68 (define @t90 () (= @t14 0)) % 0.45/0.68 (define @t91 () (<= 0 -1)) % 0.45/0.68 (define @t92 () (* 2 0)) % 0.45/0.68 (define @t93 () (+ @t28 @t49 @t92)) % 0.45/0.68 (define @t94 () (* 2 @t14)) % 0.45/0.68 (define @t95 () (+ @t30 @t13)) % 0.45/0.68 (define @t96 () (* -1 @t54)) % 0.45/0.68 (define @t97 () (+ @t96 @t32 @t94)) % 0.45/0.68 (define @t98 () (and @t90 @t78 @t55)) % 0.45/0.68 (define @t99 () (>= tptp.a 1)) % 0.45/0.68 (define @t100 () (>= tptp.a @t68)) % 0.45/0.68 (define @t101 () (> tptp.a 0)) % 0.45/0.68 (define @t102 () (and (< tptp.c 0) @t101)) % 0.45/0.68 (define @t103 () (>= tptp.c 0)) % 0.45/0.68 (define @t104 () (not @t103)) % 0.45/0.68 (define @t105 () (and @t104 @t99)) % 0.45/0.68 (define @t106 () (= tptp.c 0)) % 0.45/0.68 (define @t107 () (= 0 0)) % 0.45/0.68 (define @t108 () (= (* 0 tptp.a) 0)) % 0.45/0.68 (define @t109 () (not @t106)) % 0.45/0.68 (define @t110 () (= tptp.a 0)) % 0.45/0.68 (define @t111 () (= (* tptp.c 0) 0)) % 0.45/0.68 (define @t112 () (not @t110)) % 0.45/0.68 (define @t113 () (>= tptp.a 0)) % 0.45/0.68 (define @t114 () (not @t113)) % 0.45/0.68 (define @t115 () (not @t112)) % 0.45/0.68 (define @t116 () (and @t113 @t112)) % 0.45/0.68 (define @t117 () (not @t99)) % 0.45/0.68 (define @t118 () (not @t104)) % 0.45/0.68 (define @t119 () (- tptp.b @t12)) % 0.45/0.68 (define @t120 () (= tptp.b @t12)) % 0.45/0.68 (define @t121 () (= @t12 tptp.b)) % 0.45/0.68 (define @t122 () (= tptp.a 1)) % 0.45/0.68 (define @t123 () (= (* tptp.b 1) tptp.b)) % 0.45/0.68 (define @t124 () (- tptp.c @t14)) % 0.45/0.68 (define @t125 () (= tptp.c @t14)) % 0.45/0.68 (define @t126 () (= @t14 tptp.c)) % 0.45/0.68 (define @t127 () (= (* tptp.c 1) tptp.c)) % 0.45/0.68 (define @t128 () (+ tptp.c @t30)) % 0.45/0.68 (define @t129 () (= @t128 0)) % 0.45/0.68 (define @t130 () (+ @t49 @t28 0 @t49)) % 0.45/0.68 (define @t131 () (* 0 tptp.b)) % 0.45/0.68 (define @t132 () (= @t131 0)) % 0.45/0.68 (define @t133 () (+ @t14 @t84 @t30 tptp.c @t6 @t131)) % 0.45/0.68 (define @t134 () (+ tptp.b @t13)) % 0.45/0.68 (define @t135 () (* -1 @t7)) % 0.45/0.68 (define @t136 () (+ (* -1 @t128) @t135 @t134 @t32)) % 0.45/0.68 (define @t137 () (* 1 @t119)) % 0.45/0.68 (define @t138 () (* 1 (- @t134 0))) % 0.45/0.68 (define @t139 () (= @t138 @t137)) % 0.45/0.68 (define @t140 () (= @t134 0)) % 0.45/0.68 (define @t141 () (= @t140 @t120)) % 0.45/0.68 (define @t142 () (and @t78 @t120 @t20 @t125)) % 0.45/0.68 (define @t143 () (not @t122)) % 0.45/0.68 (define @t144 () (@list false false false)) % 0.45/0.68 (define @t145 () (>= tptp.a 2)) % 0.45/0.68 (define @t146 () (not @t145)) % 0.45/0.68 (define @t147 () (and @t99 @t146)) % 0.45/0.68 (define @t148 () (>= tptp.b 0)) % 0.45/0.68 (define @t149 () (not @t148)) % 0.45/0.68 (define @t150 () (+ 0 0 0)) % 0.45/0.68 (define @t151 () (+ @t49 0 @t49)) % 0.45/0.68 (define @t152 () (* -1 tptp.b)) % 0.45/0.68 (define @t153 () (+ @t152 tptp.c)) % 0.45/0.68 (define @t154 () (+ @t135 tptp.b @t6)) % 0.45/0.68 (define @t155 () (>= @t154 @t151)) % 0.45/0.68 (define @t156 () (and @t103 @t149 @t10)) % 0.45/0.68 (define @t157 () (>= tptp.c 1)) % 0.45/0.68 (define @t158 () (not @t109)) % 0.45/0.68 (define @t159 () (and @t109 @t103)) % 0.45/0.68 (define @t160 () (>= tptp.a -1)) % 0.45/0.68 (define @t161 () (not @t160)) % 0.45/0.68 (define @t162 () (ite @t113 @t145 @t161)) % 0.45/0.68 (define @t163 () (>= @t134 0)) % 0.45/0.68 (define @t164 () (not @t157)) % 0.45/0.68 (define @t165 () (not @t37)) % 0.45/0.68 (define @t166 () (not @t165)) % 0.45/0.68 (define @t167 () (not @t163)) % 0.45/0.68 (define @t168 () (not @t167)) % 0.45/0.68 (define @t169 () (>= 0 -1)) % 0.45/0.68 (define @t170 () (+ 2 @t28 @t28 -1)) % 0.45/0.68 (define @t171 () (= (+ @t13 @t12 0 0) 0)) % 0.45/0.68 (define @t172 () (* 0 tptp.c)) % 0.45/0.68 (define @t173 () (= @t172 0)) % 0.45/0.68 (define @t174 () (+ @t13 @t12 @t172 @t131)) % 0.45/0.68 (define @t175 () (+ @t12 @t135 @t6 @t134)) % 0.45/0.68 (define @t176 () (= @t175 @t174)) % 0.45/0.68 (define @t177 () (>= @t175 @t170)) % 0.45/0.68 (define @t178 () (= tptp.b 0)) % 0.45/0.68 (define @t179 () (not @t162)) % 0.45/0.68 (define @t180 () (not @t178)) % 0.45/0.68 (define @t181 () (and @t162 @t180 @t112)) % 0.45/0.68 (define @t182 () (not @t180)) % 0.45/0.68 (define @t183 () (+ tptp.b @t12)) % 0.45/0.68 (define @t184 () (>= @t183 1)) % 0.45/0.68 (define @t185 () (ite @t148 @t167 @t184)) % 0.45/0.68 (define @t186 () (>= @t134 1)) % 0.45/0.68 (define @t187 () (+ @t152 1)) % 0.45/0.68 (define @t188 () (>= @t13 @t187)) % 0.45/0.68 (define @t189 () (- tptp.b)) % 0.45/0.68 (define @t190 () (- @t12)) % 0.45/0.68 (define @t191 () (<= @t190 @t189)) % 0.45/0.68 (define @t192 () (>= @t183 0)) % 0.45/0.68 (define @t193 () (<= @t190 tptp.b)) % 0.45/0.68 (define @t194 () (ite @t148 (> @t190 tptp.b) (> @t190 @t189))) % 0.45/0.68 (define @t195 () (>= @t12 @t187)) % 0.45/0.68 (define @t196 () (<= @t12 @t189)) % 0.45/0.68 (define @t197 () (>= tptp.b @t12)) % 0.45/0.68 (define @t198 () (ite @t148 (> @t12 tptp.b) (> @t12 @t189))) % 0.45/0.68 (define @t199 () (>= @t12 0)) % 0.45/0.68 (define @t200 () (ite @t199 @t198 @t194)) % 0.45/0.68 (define @t201 () (* -1 tptp.a)) % 0.45/0.68 (define @t202 () (- 1)) % 0.45/0.68 (define @t203 () (- tptp.a)) % 0.45/0.68 (define @t204 () (<= @t203 @t202)) % 0.45/0.68 (define @t205 () (<= @t203 1)) % 0.45/0.68 (define @t206 () (>= 1 0)) % 0.45/0.68 (define @t207 () (ite @t206 (> @t203 1) (> @t203 @t202))) % 0.45/0.68 (define @t208 () (>= tptp.a @t80)) % 0.45/0.68 (define @t209 () (<= tptp.a @t202)) % 0.45/0.68 (define @t210 () (+ 1 1)) % 0.45/0.68 (define @t211 () (>= tptp.a @t210)) % 0.45/0.68 (define @t212 () (ite @t206 (> tptp.a 1) (> tptp.a @t202))) % 0.45/0.68 (define @t213 () (ite @t113 @t212 @t207)) % 0.45/0.68 (define @t214 () (and @t213 @t180 @t112)) % 0.45/0.68 (define @t215 () (abs @t12)) % 0.45/0.68 (define @t216 () (abs tptp.b)) % 0.45/0.68 (define @t217 () (+ @t216 (* -1 @t215))) % 0.45/0.68 (define @t218 () (>= @t216 @t215)) % 0.45/0.68 (define @t219 () (* 1 tptp.b)) % 0.45/0.68 (define @t220 () (abs @t219)) % 0.45/0.68 (define @t221 () (* tptp.a tptp.b)) % 0.45/0.68 (define @t222 () (abs @t221)) % 0.45/0.68 (define @t223 () (<= @t222 @t220)) % 0.45/0.68 (define @t224 () (ite @t199 @t185 (ite @t148 (not @t192) @t186))) % 0.45/0.68 (define @t225 () (not @t199)) % 0.45/0.68 (define @t226 () (not @t225)) % 0.45/0.68 (define @t227 () (>= @t12 @t80)) % 0.45/0.68 (define @t228 () (<= @t12 -1)) % 0.45/0.68 (define @t229 () (+ -1 0)) % 0.45/0.68 (define @t230 () (+ -1 @t49)) % 0.45/0.68 (define @t231 () (and @t225 @t36)) % 0.45/0.68 (define @t232 () (= (* tptp.b 0) 0)) % 0.45/0.68 (define @t233 () (>= tptp.b 1)) % 0.45/0.68 (define @t234 () (and @t180 @t148)) % 0.45/0.68 (define @t235 () (and @t233 @t99)) % 0.45/0.68 (define @t236 () (>= @t12 1)) % 0.45/0.68 (define @t237 () (>= @t12 @t68)) % 0.45/0.68 (define @t238 () (<= @t12 0)) % 0.45/0.68 (define @t239 () (not @t238)) % 0.45/0.68 (define @t240 () (>= tptp.b @t68)) % 0.45/0.68 (define @t241 () (and (> tptp.b 0) @t101)) % 0.45/0.68 (define @t242 () (> @t12 0)) % 0.45/0.68 (define @t243 () (+ @t13 @t12)) % 0.45/0.68 (define @t244 () (>= @t243 @t75)) % 0.45/0.68 (define @t245 () (+ 0 @t49 @t28)) % 0.45/0.68 (define @t246 () (>= @t52 @t245)) % 0.45/0.68 (define @t247 () (ite @t67 @t79 @t55)) % 0.45/0.68 (define @t248 () (>= @t54 0)) % 0.45/0.68 (define @t249 () (not @t248)) % 0.45/0.68 (define @t250 () (ite @t199 @t247 (ite @t67 @t249 @t16))) % 0.45/0.68 (define @t251 () (+ tptp.b tptp.c)) % 0.45/0.68 (define @t252 () (>= @t251 1)) % 0.45/0.68 (define @t253 () (ite @t103 @t20 @t252)) % 0.45/0.68 (define @t254 () (+ @t30 1)) % 0.45/0.68 (define @t255 () (>= @t13 @t254)) % 0.45/0.68 (define @t256 () (- @t14)) % 0.45/0.68 (define @t257 () (<= @t190 @t256)) % 0.45/0.68 (define @t258 () (* 1 (- @t54 0))) % 0.45/0.68 (define @t259 () (<= @t190 @t14)) % 0.45/0.68 (define @t260 () (ite @t67 (> @t190 @t14) (> @t190 @t256))) % 0.45/0.68 (define @t261 () (* -1 (- @t54 1))) % 0.45/0.68 (define @t262 () (>= @t12 @t254)) % 0.45/0.68 (define @t263 () (<= @t12 @t256)) % 0.45/0.68 (define @t264 () (* -1 (- @t15 0))) % 0.45/0.68 (define @t265 () (>= @t14 @t12)) % 0.45/0.68 (define @t266 () (ite @t67 (> @t12 @t14) (> @t12 @t256))) % 0.45/0.68 (define @t267 () (ite @t199 @t266 @t260)) % 0.45/0.68 (define @t268 () (- tptp.c)) % 0.45/0.68 (define @t269 () (<= @t189 @t268)) % 0.45/0.68 (define @t270 () (* 1 (- @t251 0))) % 0.45/0.68 (define @t271 () (>= @t251 0)) % 0.45/0.68 (define @t272 () (<= @t189 tptp.c)) % 0.45/0.68 (define @t273 () (ite @t103 (> @t189 tptp.c) (> @t189 @t268))) % 0.45/0.68 (define @t274 () (* -1 (- @t251 1))) % 0.45/0.68 (define @t275 () (+ @t6 1)) % 0.45/0.68 (define @t276 () (>= tptp.b @t275)) % 0.45/0.68 (define @t277 () (<= tptp.b @t268)) % 0.45/0.68 (define @t278 () (* -1 (- @t7 1))) % 0.45/0.68 (define @t279 () (+ tptp.c 1)) % 0.45/0.68 (define @t280 () (>= tptp.b @t279)) % 0.45/0.68 (define @t281 () (ite @t103 (> tptp.b tptp.c) (> tptp.b @t268))) % 0.45/0.68 (define @t282 () (ite @t148 @t281 @t273)) % 0.45/0.68 (define @t283 () (and @t282 @t180 @t112)) % 0.45/0.68 (define @t284 () (abs tptp.a)) % 0.45/0.68 (define @t285 () (not @t271)) % 0.45/0.68 (define @t286 () (ite @t148 @t253 (ite @t103 @t285 @t22))) % 0.45/0.68 (define @t287 () (and @t286 @t180 @t112)) % 0.45/0.68 (define @t288 () (not @t286)) % 0.45/0.68 (define @t289 () (ite @t148 @t285 @t20)) % 0.45/0.68 (define @t290 () (ite @t103 (ite @t148 @t22 @t252) @t289)) % 0.45/0.68 (define @t291 () (ite @t199 @t249 @t79)) % 0.45/0.68 (define @t292 () (not @t291)) % 0.45/0.68 (define @t293 () (< @t54 0)) % 0.45/0.68 (define @t294 () (+ 0 @t49 @t57)) % 0.45/0.68 (define @t295 () (+ @t54 @t32 @t59)) % 0.45/0.68 (define @t296 () (>= @t295 @t294)) % 0.45/0.68 (define @t297 () (and @t199 @t78 @t249)) % 0.45/0.68 (define @t298 () (ite @t67 (ite @t199 @t16 @t55) @t291)) % 0.45/0.68 (define @t299 () (<= @t256 @t190)) % 0.45/0.68 (define @t300 () (<= @t256 @t12)) % 0.45/0.68 (define @t301 () (ite @t199 (> @t256 @t12) (> @t256 @t190))) % 0.45/0.68 (define @t302 () (+ @t13 1)) % 0.45/0.68 (define @t303 () (>= @t14 @t302)) % 0.45/0.68 (define @t304 () (<= @t14 @t190)) % 0.45/0.68 (define @t305 () (ite @t199 (> @t14 @t12) (> @t14 @t190))) % 0.45/0.68 (define @t306 () (ite @t67 @t305 @t301)) % 0.45/0.68 (define @t307 () (>= @t6 @t187)) % 0.45/0.68 (define 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(step @p1470 false :rule contra :premises (@p1783 @p1469)) % 0.45/0.68 (step-pop @p1786 :rule scope :premises (@p1470)) % 0.45/0.68 (step-pop @p1787 :rule scope :premises (@p1786)) % 0.45/0.68 (step-pop @p1788 :rule scope :premises (@p1787)) % 0.45/0.68 (step @p1471 :rule process_scope :premises (@p1788) :args (false)) % 0.45/0.68 (assume-push @p1789 @t16) % 0.45/0.68 (assume-push @p1790 @t90) % 0.45/0.68 (assume-push @p1791 @t199) % 0.45/0.68 (step @p1478 :rule and_intro :premises (@p1790 @p22 @p1791)) % 0.45/0.68 (step-pop @p1792 :rule scope :premises (@p1478)) % 0.45/0.68 (step-pop @p1793 :rule scope :premises (@p1792)) % 0.45/0.68 (step-pop @p1794 :rule scope :premises (@p1793)) % 0.45/0.68 (step @p1479 :rule process_scope :premises (@p1794) :args (@t325)) % 0.45/0.68 (step @p1483 :rule implies_elim :premises (@p1479)) % 0.45/0.68 (step @p1484 :rule resolution :premises (@p1483 @p1471) :args (true @t325)) % 0.45/0.68 (step @p1485 :rule not_and :premises (@p1484)) % 0.45/0.68 (step @p1486 :rule refl :args (@t320)) % 0.45/0.68 (step @p1487 :rule nary_cong :premises (@p636 @p635 @p1486 @p633) :args ((or @t23 @t164 @t320 @t166))) % 0.45/0.68 (assume-push @p1795 @t20) % 0.45/0.68 (assume-push @p1796 @t157) % 0.45/0.68 (assume-push @p1797 @t120) % 0.45/0.68 (assume-push @p1798 @t165) % 0.45/0.68 (step @p130 :rule evaluate :args (@t46)) % 0.45/0.68 (step @p131 :rule evaluate :args (@t47)) % 0.45/0.68 (step @p1492 :rule evaluate :args ((+ 2 -1 -1 0))) % 0.45/0.68 (step @p106 :rule refl :args (0)) % 0.45/0.68 (step @p58 :rule evaluate :args (@t28)) % 0.45/0.68 (step @p644 :rule refl :args (2)) % 0.45/0.68 (step @p1493 :rule nary_cong :premises (@p644 @p58 @p58 @p106) :args (@t326)) % 0.45/0.68 (step @p1494 :rule trans :premises (@p1493 @p1492)) % 0.45/0.68 (step @p647 :rule arith_poly_norm :args (@t171)) % 0.45/0.68 (step @p482 :rule arith_poly_norm :args (@t132)) % 0.45/0.68 (step @p648 :rule arith_poly_norm :args (@t173)) % 0.45/0.68 (step @p138 :rule refl :args (@t13)) % 0.45/0.68 (step @p649 :rule nary_cong :premises (@p138 @p59 @p648 @p482) :args (@t174)) % 0.45/0.68 (step @p650 :rule trans :premises (@p649 @p647)) % 0.45/0.68 (step @p651 :rule arith_poly_norm :args (@t176)) % 0.45/0.68 (step @p652 :rule trans :premises (@p651 @p650)) % 0.45/0.68 (step @p1495 :rule cong :premises (@p652 @p1494) :args (@t327)) % 0.45/0.68 (step @p1496 :rule trans :premises (@p1495 @p131)) % 0.45/0.68 (step @p1497 :rule cong :premises (@p1496) :args ((not @t327))) % 0.45/0.68 (step @p1498 :rule trans :premises (@p1497 @p130)) % 0.45/0.68 (step @p1499 :rule arith-elim-lt :args (@t175 @t326)) % 0.45/0.68 (step @p1500 :rule trans :premises (@p1499 @p1498)) % 0.45/0.68 (step @p493 :rule arith_poly_norm :args (@t139)) % 0.45/0.68 (step @p494 :rule arith_poly_norm_rel :premises (@p493) :args (@t141)) % 0.45/0.68 (step @p495 :rule symm :premises (@p494)) % 0.45/0.68 (step @p1501 :rule eq_resolve :premises (@p1797 @p495)) % 0.45/0.68 (step @p663 :rule arith_mult_neg :args (-1 @t157)) % 0.45/0.68 (step @p70 :rule evaluate :args (@t35)) % 0.45/0.68 (step @p71 :rule true_elim :premises (@p70)) % 0.45/0.68 (step @p1502 :rule and_intro :premises (@p71 @p1796)) % 0.45/0.68 (step @p1503 :rule modus_ponens :premises (@p1502 @p663)) % 0.45/0.68 (step @p497 :rule arith_mult_neg :args (-1 @t20)) % 0.45/0.68 (step @p1504 :rule and_intro :premises (@p71 @p1795)) % 0.45/0.68 (step @p1505 :rule modus_ponens :premises (@p1504 @p497)) % 0.45/0.68 (step @p668 :rule arith-elim-lt :args (@t12 2)) % 0.45/0.68 (step @p669 :rule symm :premises (@p668)) % 0.45/0.68 (step @p1506 :rule eq_resolve :premises (@p1798 @p669)) % 0.45/0.68 (step @p1507 :rule arith_sum_ub :premises (@p1506 @p1505 @p1503 @p1501)) % 0.45/0.68 (step @p1508 false :rule eq_resolve :premises (@p1507 @p1500)) % 0.45/0.68 (step-pop @p1799 :rule scope :premises (@p1508)) % 0.45/0.68 (step-pop @p1800 :rule scope :premises (@p1799)) % 0.45/0.68 (step-pop @p1801 :rule scope :premises (@p1800)) % 0.45/0.68 (step-pop @p1802 :rule scope :premises (@p1801)) % 0.45/0.68 (step @p1509 :rule process_scope :premises (@p1802) :args (false)) % 0.45/0.68 (step @p1514 :rule not_and :premises (@p1509)) % 0.45/0.68 (step @p1515 :rule eq_resolve :premises (@p1514 @p1487)) % 0.45/0.68 (step @p1516 :rule reordering :premises (@p1515) :args ((or @t164 @t23 @t37 @t320))) % 0.45/0.68 (step @p1517 :rule nary_cong :premises (@p1486 @p634) :args ((or @t320 @t168))) % 0.45/0.68 (assume-push @p1803 @t167) % 0.45/0.68 (assume-push @p1804 @t120) % 0.45/0.68 (step @p1520 :rule refl :args (@t134)) % 0.45/0.68 (step @p1521 :rule cong :premises (@p1520 @p256) :args (@t328)) % 0.45/0.68 (step @p1522 :rule cong :premises (@p1521) :args ((not @t328))) % 0.45/0.68 (step @p1523 :rule arith-leq-norm :args (@t134 -1)) % 0.45/0.68 (step @p1524 :rule trans :premises (@p1523 @p1522)) % 0.45/0.68 (step @p1525 :rule cong :premises (@p1524) :args ((not @t329))) % 0.45/0.68 (step @p1526 :rule trans :premises (@p1525 @p634)) % 0.45/0.68 (step @p1527 :rule arith-elim-leq :args (@t134 -1)) % 0.45/0.68 (step @p1528 :rule symm :premises (@p1527)) % 0.45/0.68 (step @p1529 :rule cong :premises (@p1528) :args ((not (>= -1 @t134)))) % 0.45/0.68 (step @p1530 :rule arith-elim-gt :args (@t134 -1)) % 0.45/0.68 (step @p1531 :rule trans :premises (@p1530 @p1529)) % 0.45/0.68 (step @p1532 :rule trans :premises (@p1531 @p1526)) % 0.45/0.68 (step @p1533 :rule cong :premises (@p1532) :args ((not (> @t134 -1)))) % 0.45/0.68 (step @p1534 :rule symm :premises (@p1533)) % 0.45/0.68 (step @p1535 :rule trans :premises (@p1524 @p1534)) % 0.45/0.68 (step @p659 :rule arith-elim-lt :args (@t134 0)) % 0.45/0.68 (step @p660 :rule symm :premises (@p659)) % 0.45/0.68 (step @p1536 :rule eq_resolve :premises (@p1803 @p660)) % 0.45/0.68 (step @p1537 :rule int_tight_ub :premises (@p1536)) % 0.45/0.68 (step @p1538 :rule eq_resolve :premises (@p1537 @p1535)) % 0.45/0.68 (step @p1539 :rule symm :premises (@p1532)) % 0.45/0.68 (step @p1540 :rule trans :premises (@p1526 @p1539)) % 0.45/0.68 (assume-push @p1805 @t329) % 0.45/0.68 (step @p316 :rule evaluate :args (@t91)) % 0.45/0.68 (step @p895 :rule evaluate :args (@t229)) % 0.45/0.68 (step @p133 :rule evaluate :args (@t49)) % 0.45/0.68 (step @p282 :rule refl :args (-1)) % 0.45/0.68 (step @p896 :rule nary_cong :premises (@p282 @p133) :args (@t230)) % 0.45/0.68 (step @p897 :rule trans :premises (@p896 @p895)) % 0.45/0.68 (step @p216 :rule evaluate :args (@t74)) % 0.45/0.68 (step @p482 :rule arith_poly_norm :args (@t132)) % 0.45/0.68 (step @p285 :rule arith_poly_norm :args (@t85)) % 0.45/0.68 (step @p1542 :rule nary_cong :premises (@p285 @p482) :args (@t330)) % 0.45/0.68 (step @p1543 :rule trans :premises (@p1542 @p216)) % 0.45/0.68 (step @p1544 :rule arith_poly_norm :args ((= @t331 @t330))) % 0.45/0.68 (step @p1545 :rule trans :premises (@p1544 @p1543)) % 0.45/0.68 (step @p1546 :rule cong :premises (@p1545 @p897) :args ((<= @t331 @t230))) % 0.45/0.68 (step @p1547 :rule trans :premises (@p1546 @p316)) % 0.45/0.68 (step @p1548 :rule arith_mult_neg :args (-1 @t140)) % 0.45/0.68 (step @p493 :rule arith_poly_norm :args (@t139)) % 0.45/0.68 (step @p494 :rule arith_poly_norm_rel :premises (@p493) :args (@t141)) % 0.45/0.68 (step @p495 :rule symm :premises (@p494)) % 0.45/0.68 (step @p1549 :rule eq_resolve :premises (@p1804 @p495)) % 0.45/0.68 (step @p70 :rule evaluate :args (@t35)) % 0.45/0.68 (step @p71 :rule true_elim :premises (@p70)) % 0.45/0.68 (step @p1550 :rule and_intro :premises (@p71 @p1549)) % 0.45/0.68 (step @p1551 :rule modus_ponens :premises (@p1550 @p1548)) % 0.45/0.68 (step @p1552 :rule arith_sum_ub :premises (@p1805 @p1551)) % 0.45/0.68 (step @p1553 false :rule eq_resolve :premises (@p1552 @p1547)) % 0.45/0.68 (step-pop @p1806 :rule scope :premises (@p1553)) % 0.45/0.68 (step @p1554 :rule process_scope :premises (@p1806) :args (false)) % 0.45/0.68 (step @p1556 :rule eq_resolve :premises (@p1554 @p1540)) % 0.45/0.68 (step @p1557 false :rule contra :premises (@p1556 @p1538)) % 0.45/0.68 (step-pop @p1807 :rule scope :premises (@p1557)) % 0.45/0.68 (step-pop @p1808 :rule scope :premises (@p1807)) % 0.45/0.68 (step @p1558 :rule process_scope :premises (@p1808) :args (false)) % 0.45/0.68 (assume-push @p1809 @t120) % 0.45/0.68 (assume-push @p1810 @t167) % 0.45/0.68 (step @p1563 :rule and_intro :premises (@p1810 @p1809)) % 0.45/0.68 (step-pop @p1811 :rule scope :premises (@p1563)) % 0.45/0.68 (step-pop @p1812 :rule scope :premises (@p1811)) % 0.45/0.68 (step @p1564 :rule process_scope :premises (@p1812) :args (@t332)) % 0.45/0.68 (step @p1567 :rule implies_elim :premises (@p1564)) % 0.45/0.68 (step @p1568 :rule resolution :premises (@p1567 @p1558) :args (true @t332)) % 0.45/0.68 (step @p1569 :rule not_and :premises (@p1568)) % 0.45/0.68 (step @p1570 :rule eq_resolve :premises (@p1569 @p1517)) % 0.45/0.68 (step @p1571 :rule chain_m_resolution :premises (@p1570 @p689 @p866 @p864 @p687 @p1427 @p123 @p1516 @p630 @p394 @p632 @p555 @p530 @p609 @p9 @p438 @p381 @p1046 @p431 @p409 @p407 @p1485 @p22) :args ((or @t23 @t225 @t320) (@list true false false false true true false false true false false true false false false true false false false true true false) (@list @t163 @t185 @t224 @t181 @t178 @t36 @t37 @t157 @t106 @t162 @t145 @t122 @t148 @t10 @t103 @t105 @t67 @t99 @t113 @t110 @t90 @t16))) % 0.45/0.68 (step @p1572 false :rule chain_m_resolution :premises (@p1571 @p1449 @p1447 @p99) :args (false @t144 (@list @t199 @t120 @t20))) % 0.45/0.68 ) % 0.45/0.68 % SZS output end Proof % 0.45/0.68 % cvc5 exiting %------------------------------------------------------------------------------