%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : DAT040_1 : TPTP v9.2.1. Released v5.0.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % Computer : n012.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 08:14:24 AM UTC 2026 % Result : Theorem 0.18s 45.68s % Output : Proof 0.18s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.06 % Problem : DAT040_1 : TPTP v9.2.1. Released v5.0.0. % 0.00/0.07 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.08/0.25 % Computer : n012.cluster.edu % 0.08/0.25 % Model : x86_64 x86_64 % 0.08/0.25 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.08/0.25 % Memory : 8042.1875MB % 0.08/0.25 % OS : Linux 3.10.0-693.el7.x86_64 % 0.08/0.25 % CPULimit : 300 % 0.08/0.25 % WCLimit : 300 % 0.08/0.25 % DateTime : Mon Jun 1 22:27:03 EDT 2026 % 0.08/0.26 % CPUTime : % 0.16/0.34 %----Proving TF0_ARI % 0.18/45.68 --- Run --finite-model-find --decision=internal at 45... % 0.18/45.68 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 60... % 0.18/45.68 % SZS status Theorem % 0.18/45.68 % SZS output start Proof % 0.18/45.68 ( % 0.18/45.68 (declare-sort tptp.collection 0) % 0.18/45.68 (declare-const tptp.count (-> tptp.collection Int)) % 0.18/45.68 (declare-const tptp.remove (-> Int tptp.collection tptp.collection)) % 0.18/45.68 (declare-const tptp.add (-> Int tptp.collection tptp.collection)) % 0.18/45.68 (declare-const tptp.in (-> Int tptp.collection Bool)) % 0.18/45.68 (declare-const tptp.empty tptp.collection) % 0.18/45.68 (define @t1 () (@var "U" Int)) % 0.18/45.68 (define @t2 () (@var "W" tptp.collection)) % 0.18/45.68 (define @t3 () (@var "V" Int)) % 0.18/45.68 (define @t4 () (@var "Y" tptp.collection)) % 0.18/45.68 (define @t5 () (@var "X" Int)) % 0.18/45.68 (define @t6 () (@var "X1" tptp.collection)) % 0.18/45.68 (define @t7 () (@var "X2" Int)) % 0.18/45.68 (define @t8 () (@var "Z" Int)) % 0.18/45.68 (define @t9 () (forall (@list @t8 @t6 @t7) (= (or (tptp.in @t8 @t6) (= @t8 @t7)) (tptp.in @t8 (tptp.add @t7 @t6))))) % 0.18/45.68 (define @t10 () (@var "X4" tptp.collection)) % 0.18/45.68 (define @t11 () (@var "X5" Int)) % 0.18/45.68 (define @t12 () (@var "X3" Int)) % 0.18/45.68 (define @t13 () (@var "X6" tptp.collection)) % 0.18/45.68 (define @t14 () (@var "X7" tptp.collection)) % 0.18/45.68 (define @t15 () (= (tptp.count @t14) 0)) % 0.18/45.68 (define @t16 () (= (= @t14 tptp.empty) @t15)) % 0.18/45.68 (define @t17 () (forall (@list @t14) @t16)) % 0.18/45.68 (define @t18 () (@var "X9" tptp.collection)) % 0.18/45.68 (define @t19 () (@var "X8" Int)) % 0.18/45.68 (define @t20 () (@var "X11" tptp.collection)) % 0.18/45.68 (define @t21 () (@var "X10" Int)) % 0.18/45.68 (define @t22 () (@var "X13" tptp.collection)) % 0.18/45.68 (define @t23 () (tptp.count @t22)) % 0.18/45.68 (define @t24 () (- @t23 1)) % 0.18/45.68 (define @t25 () (@var "X12" Int)) % 0.18/45.68 (define @t26 () (tptp.count (tptp.remove @t25 @t22))) % 0.18/45.68 (define @t27 () (= @t26 @t24)) % 0.18/45.68 (define @t28 () (tptp.in @t25 @t22)) % 0.18/45.68 (define @t29 () (= @t28 @t27)) % 0.18/45.68 (define @t30 () (@list @t25 @t22)) % 0.18/45.68 (define @t31 () (forall @t30 @t29)) % 0.18/45.68 (define @t32 () (@var "X15" tptp.collection)) % 0.18/45.68 (define @t33 () (@var "X14" Int)) % 0.18/45.68 (define @t34 () (@var "X17" tptp.collection)) % 0.18/45.68 (define @t35 () (@var "X16" Int)) % 0.18/45.68 (define @t36 () (= @t34 (tptp.add @t35 (tptp.remove @t35 @t34)))) % 0.18/45.68 (define @t37 () (tptp.in @t35 @t34)) % 0.18/45.68 (define @t38 () (forall (@list @t35 @t34) (=> @t37 @t36))) % 0.18/45.68 (define @t39 () (@var "U" tptp.collection)) % 0.18/45.68 (define @t40 () (not (tptp.in 5 @t39))) % 0.18/45.68 (define @t41 () (= (tptp.count @t39) 2)) % 0.18/45.68 (define @t42 () (@var "W" Int)) % 0.18/45.68 (define @t43 () (tptp.in @t42 @t39)) % 0.18/45.68 (define @t44 () (tptp.in @t3 @t39)) % 0.18/45.68 (define @t45 () (and (< @t3 3) (< 6 @t42) @t44 @t43 @t41)) % 0.18/45.68 (define @t46 () (=> @t45 @t40)) % 0.18/45.68 (define @t47 () (@list @t39 @t3 @t42)) % 0.18/45.68 (define @t48 () (forall @t47 @t46)) % 0.18/45.68 (define @t49 () (not @t48)) % 0.18/45.68 (define @t50 () (not @t41)) % 0.18/45.68 (define @t51 () (not @t43)) % 0.18/45.68 (define @t52 () (not @t44)) % 0.18/45.68 (define @t53 () (>= @t42 7)) % 0.18/45.68 (define @t54 () (not @t53)) % 0.18/45.68 (define @t55 () (>= @t3 3)) % 0.18/45.68 (define @t56 () (or @t55 @t54 @t52 @t51 @t50 @t40)) % 0.18/45.68 (define @t57 () (not @t55)) % 0.18/45.68 (define @t58 () (not @t57)) % 0.18/45.68 (define @t59 () (or @t58 @t54 @t52 @t51 @t50)) % 0.18/45.68 (define @t60 () (and @t57 @t53 @t44 @t43 @t41)) % 0.18/45.68 (define @t61 () (+ @t42 1)) % 0.18/45.68 (define @t62 () (>= 6 @t42)) % 0.18/45.68 (define @t63 () (forall @t47 @t56)) % 0.18/45.68 (define @t64 () (@quantifiers_skolemize @t63 2)) % 0.18/45.68 (define @t65 () (>= @t64 7)) % 0.18/45.68 (define @t66 () (@quantifiers_skolemize @t63 0)) % 0.18/45.68 (define @t67 () (tptp.in 5 @t66)) % 0.18/45.68 (define @t68 () (not @t67)) % 0.18/45.68 (define @t69 () (tptp.count @t66)) % 0.18/45.68 (define @t70 () (= @t69 2)) % 0.18/45.68 (define @t71 () (not @t70)) % 0.18/45.68 (define @t72 () (tptp.in @t64 @t66)) % 0.18/45.68 (define @t73 () (not @t72)) % 0.18/45.68 (define @t74 () (@quantifiers_skolemize @t63 1)) % 0.18/45.68 (define @t75 () (tptp.in @t74 @t66)) % 0.18/45.68 (define @t76 () (not @t75)) % 0.18/45.68 (define @t77 () (not @t65)) % 0.18/45.68 (define @t78 () (>= @t74 3)) % 0.18/45.68 (define @t79 () (or @t78 @t77 @t76 @t73 @t71 @t68)) % 0.18/45.68 (define @t80 () (@list true)) % 0.18/45.68 (define @t81 () (@list @t79)) % 0.18/45.68 (define @t82 () (= @t64 5)) % 0.18/45.68 (define @t83 () (tptp.remove @t64 @t66)) % 0.18/45.68 (define @t84 () (tptp.in 5 @t83)) % 0.18/45.68 (define @t85 () (or @t84 @t82)) % 0.18/45.68 (define @t86 () (tptp.add @t64 @t83)) % 0.18/45.68 (define @t87 () (tptp.in 5 @t86)) % 0.18/45.68 (define @t88 () (= 5 @t64)) % 0.18/45.68 (define @t89 () (or @t84 @t88)) % 0.18/45.68 (define @t90 () (= @t89 @t87)) % 0.18/45.68 (define @t91 () (= @t87 @t85)) % 0.18/45.68 (define @t92 () (@list false)) % 0.18/45.68 (define @t93 () (@list @t9)) % 0.18/45.68 (define @t94 () (@list @t64 @t66)) % 0.18/45.68 (define @t95 () (= @t66 @t86)) % 0.18/45.68 (define @t96 () (or @t73 @t95)) % 0.18/45.68 (define @t97 () (@list false false)) % 0.18/45.68 (define @t98 () (+ -1 @t23)) % 0.18/45.68 (define @t99 () (* -1 1)) % 0.18/45.68 (define @t100 () (+ @t23 @t99)) % 0.18/45.68 (define @t101 () (tptp.remove 5 @t83)) % 0.18/45.68 (define @t102 () (tptp.count @t101)) % 0.18/45.68 (define @t103 () (+ 1 @t102)) % 0.18/45.68 (define @t104 () (tptp.count @t83)) % 0.18/45.68 (define @t105 () (- @t104 @t103)) % 0.18/45.68 (define @t106 () (+ -1 @t104)) % 0.18/45.68 (define @t107 () (= @t104 @t103)) % 0.18/45.68 (define @t108 () (= @t102 @t106)) % 0.18/45.68 (define @t109 () (= @t84 @t108)) % 0.18/45.68 (define @t110 () (forall @t30 (= @t28 (= @t26 @t98)))) % 0.18/45.68 (define @t111 () (@list 5 @t83)) % 0.18/45.68 (define @t112 () (= @t84 @t107)) % 0.18/45.68 (define @t113 () (@list @t110)) % 0.18/45.68 (define @t114 () (not @t84)) % 0.18/45.68 (define @t115 () (@list @t74 @t83)) % 0.18/45.68 (define @t116 () (tptp.in @t74 @t86)) % 0.18/45.68 (define @t117 () (= @t74 @t64)) % 0.18/45.68 (define @t118 () (tptp.in @t74 @t83)) % 0.18/45.68 (define @t119 () (or @t118 @t117)) % 0.18/45.68 (define @t120 () (= @t119 @t116)) % 0.18/45.68 (define @t121 () (not @t78)) % 0.18/45.68 (define @t122 () (not @t117)) % 0.18/45.68 (define @t123 () (not @t121)) % 0.18/45.68 (define @t124 () (< @t74 3)) % 0.18/45.68 (define @t125 () (* -1 0)) % 0.18/45.68 (define @t126 () (* -1 7)) % 0.18/45.68 (define @t127 () (+ 3 @t126 @t125)) % 0.18/45.68 (define @t128 () (* -1 @t74)) % 0.18/45.68 (define @t129 () (+ @t128 @t64)) % 0.18/45.68 (define @t130 () (* -1 @t64)) % 0.18/45.68 (define @t131 () (+ @t74 @t130)) % 0.18/45.68 (define @t132 () (* -1 @t131)) % 0.18/45.68 (define @t133 () (+ @t74 @t130 @t132)) % 0.18/45.68 (define @t134 () (>= @t133 @t127)) % 0.18/45.68 (define @t135 () (= @t131 0)) % 0.18/45.68 (define @t136 () (- @t74 @t64)) % 0.18/45.68 (define @t137 () (< -1 0)) % 0.18/45.68 (define @t138 () (and @t117 @t65 @t121)) % 0.18/45.68 (define @t139 () (@list true false)) % 0.18/45.68 (define @t140 () (tptp.remove @t74 @t83)) % 0.18/45.68 (define @t141 () (tptp.add @t74 @t140)) % 0.18/45.68 (define @t142 () (= @t83 @t141)) % 0.18/45.68 (define @t143 () (not @t118)) % 0.18/45.68 (define @t144 () (or @t143 @t142)) % 0.18/45.68 (define @t145 () (tptp.in 5 @t141)) % 0.18/45.68 (define @t146 () (and @t84 @t142)) % 0.18/45.68 (define @t147 () (= @t74 5)) % 0.18/45.68 (define @t148 () (tptp.in 5 @t140)) % 0.18/45.68 (define @t149 () (or @t148 @t147)) % 0.18/45.68 (define @t150 () (= 5 @t74)) % 0.18/45.68 (define @t151 () (or @t148 @t150)) % 0.18/45.68 (define @t152 () (= @t151 @t145)) % 0.18/45.68 (define @t153 () (= @t145 @t149)) % 0.18/45.68 (define @t154 () (not @t147)) % 0.18/45.68 (define @t155 () (* -1 5)) % 0.18/45.68 (define @t156 () (+ @t155 2)) % 0.18/45.68 (define @t157 () (+ @t128 @t74)) % 0.18/45.68 (define @t158 () (and @t147 @t121)) % 0.18/45.68 (define @t159 () (+ 1 @t104)) % 0.18/45.68 (define @t160 () (- @t69 @t159)) % 0.18/45.68 (define @t161 () (+ -1 @t69)) % 0.18/45.68 (define @t162 () (= @t69 @t159)) % 0.18/45.68 (define @t163 () (= @t104 @t161)) % 0.18/45.68 (define @t164 () (= @t72 @t163)) % 0.18/45.68 (define @t165 () (= @t72 @t162)) % 0.18/45.68 (define @t166 () (@list @t101)) % 0.18/45.68 (define @t167 () (= @t102 0)) % 0.18/45.68 (define @t168 () (>= @t102 0)) % 0.18/45.68 (define @t169 () (not @t168)) % 0.18/45.68 (define @t170 () (not @t107)) % 0.18/45.68 (define @t171 () (not @t162)) % 0.18/45.68 (define @t172 () (not @t167)) % 0.18/45.68 (define @t173 () (* -1 @t102)) % 0.18/45.68 (define @t174 () (+ @t104 @t173)) % 0.18/45.68 (define @t175 () (= @t174 1)) % 0.18/45.68 (define @t176 () (<= 0 -1)) % 0.18/45.68 (define @t177 () (+ -1 -1 2 -1)) % 0.18/45.68 (define @t178 () (+ @t99 @t99 2 @t99)) % 0.18/45.68 (define @t179 () (* -1 @t69)) % 0.18/45.68 (define @t180 () (+ @t179 @t104)) % 0.18/45.68 (define @t181 () (* -1 @t104)) % 0.18/45.68 (define @t182 () (+ @t181 @t102)) % 0.18/45.68 (define @t183 () (+ @t69 @t181)) % 0.18/45.68 (define @t184 () (* -1 @t183)) % 0.18/45.68 (define @t185 () (= @t184 @t180)) % 0.18/45.68 (define @t186 () (* -1 @t174)) % 0.18/45.68 (define @t187 () (+ @t186 @t184 @t69 @t173)) % 0.18/45.68 (define @t188 () (= @t183 1)) % 0.18/45.68 (define @t189 () (= (* -1 (- @t183 1)) (* -1 @t160))) % 0.18/45.68 (define @t190 () (= @t188 @t162)) % 0.18/45.68 (define @t191 () (and @t168 @t172 @t70 @t162 @t107)) % 0.18/45.68 (define @t192 () (= tptp.empty @t101)) % 0.18/45.68 (define @t193 () (= @t167 @t192)) % 0.18/45.68 (define @t194 () (tptp.remove @t74 @t66)) % 0.18/45.68 (define @t195 () (tptp.remove @t64 @t194)) % 0.18/45.68 (define @t196 () (@list @t195)) % 0.18/45.68 (define @t197 () (tptp.count @t195)) % 0.18/45.68 (define @t198 () (+ 1 @t197)) % 0.18/45.68 (define @t199 () (tptp.count @t194)) % 0.18/45.68 (define @t200 () (- @t199 @t198)) % 0.18/45.68 (define @t201 () (+ -1 @t199)) % 0.18/45.68 (define @t202 () (= @t199 @t198)) % 0.18/45.68 (define @t203 () (= @t197 @t201)) % 0.18/45.68 (define @t204 () (tptp.in @t64 @t194)) % 0.18/45.68 (define @t205 () (= @t204 @t203)) % 0.18/45.68 (define @t206 () (= @t204 @t202)) % 0.18/45.68 (define @t207 () (or @t204 @t117)) % 0.18/45.68 (define @t208 () (tptp.add @t74 @t194)) % 0.18/45.68 (define @t209 () (tptp.in @t64 @t208)) % 0.18/45.68 (define @t210 () (= @t64 @t74)) % 0.18/45.68 (define @t211 () (or @t204 @t210)) % 0.18/45.68 (define @t212 () (= @t211 @t209)) % 0.18/45.68 (define @t213 () (= @t209 @t207)) % 0.18/45.68 (define @t214 () (@list @t74 @t66)) % 0.18/45.68 (define @t215 () (= @t66 @t208)) % 0.18/45.68 (define @t216 () (or @t76 @t215)) % 0.18/45.68 (define @t217 () (+ 1 @t199)) % 0.18/45.68 (define @t218 () (- @t69 @t217)) % 0.18/45.68 (define @t219 () (= @t69 @t217)) % 0.18/45.68 (define @t220 () (= @t199 @t161)) % 0.18/45.68 (define @t221 () (= @t75 @t220)) % 0.18/45.68 (define @t222 () (= @t75 @t219)) % 0.18/45.68 (define @t223 () (= @t197 0)) % 0.18/45.68 (define @t224 () (>= @t197 0)) % 0.18/45.68 (define @t225 () (not @t224)) % 0.18/45.68 (define @t226 () (not @t202)) % 0.18/45.68 (define @t227 () (not @t219)) % 0.18/45.68 (define @t228 () (not @t223)) % 0.18/45.68 (define @t229 () (* -1 @t197)) % 0.18/45.68 (define @t230 () (+ @t199 @t229)) % 0.18/45.68 (define @t231 () (= @t230 1)) % 0.18/45.68 (define @t232 () (+ @t179 @t199)) % 0.18/45.68 (define @t233 () (* -1 @t199)) % 0.18/45.68 (define @t234 () (+ @t233 @t197)) % 0.18/45.68 (define @t235 () (+ @t69 @t233)) % 0.18/45.68 (define @t236 () (* -1 @t235)) % 0.18/45.68 (define @t237 () (* -1 @t230)) % 0.18/45.68 (define @t238 () (+ @t237 @t236 @t69 @t229)) % 0.18/45.68 (define @t239 () (= @t235 1)) % 0.18/45.68 (define @t240 () (and @t224 @t228 @t70 @t219 @t202)) % 0.18/45.68 (define @t241 () (@list false false false false)) % 0.18/45.68 (define @t242 () (= tptp.empty @t195)) % 0.18/45.68 (define @t243 () (= @t223 @t242)) % 0.18/45.68 (define @t244 () (@list @t140)) % 0.18/45.68 (define @t245 () (tptp.count @t140)) % 0.18/45.68 (define @t246 () (+ 1 @t245)) % 0.18/45.68 (define @t247 () (- @t104 @t246)) % 0.18/45.68 (define @t248 () (= @t104 @t246)) % 0.18/45.68 (define @t249 () (= @t245 @t106)) % 0.18/45.68 (define @t250 () (= @t118 @t249)) % 0.18/45.68 (define @t251 () (= @t118 @t248)) % 0.18/45.68 (define @t252 () (= @t245 0)) % 0.18/45.68 (define @t253 () (>= @t245 0)) % 0.18/45.68 (define @t254 () (not @t253)) % 0.18/45.68 (define @t255 () (not @t248)) % 0.18/45.68 (define @t256 () (not @t252)) % 0.18/45.68 (define @t257 () (* -1 @t245)) % 0.18/45.68 (define @t258 () (+ @t104 @t257)) % 0.18/45.68 (define @t259 () (= @t258 1)) % 0.18/45.68 (define @t260 () (+ @t181 @t245)) % 0.18/45.68 (define @t261 () (* -1 @t258)) % 0.18/45.68 (define @t262 () (+ @t261 @t184 @t69 @t257)) % 0.18/45.68 (define @t263 () (and @t253 @t256 @t70 @t162 @t248)) % 0.18/45.68 (define @t264 () (= tptp.empty @t140)) % 0.18/45.68 (define @t265 () (= @t252 @t264)) % 0.18/45.68 (define @t266 () (not @t242)) % 0.18/45.68 (define @t267 () (not @t264)) % 0.18/45.68 (define @t268 () (not @t192)) % 0.18/45.68 (define @t269 () (not @t148)) % 0.18/45.68 (define @t270 () (tptp.in 5 @t101)) % 0.18/45.68 (define @t271 () (not @t270)) % 0.18/45.68 (define @t272 () (and @t148 @t264 @t242 @t192 @t271)) % 0.18/45.68 (define @t273 () (+ 5 @t126)) % 0.18/45.68 (define @t274 () (+ @t64 @t130)) % 0.18/45.68 (define @t275 () (and @t82 @t65)) % 0.18/45.68 (assume @p1 (forall (@list @t1) (not (tptp.in @t1 tptp.empty)))) % 0.18/45.68 (assume @p2 (forall (@list @t3 @t2) (tptp.in @t3 (tptp.add @t3 @t2)))) % 0.18/45.68 (assume @p3 (forall (@list @t5 @t4) (not (tptp.in @t5 (tptp.remove @t5 @t4))))) % 0.18/45.68 (assume @p4 @t9) % 0.18/45.68 (assume @p5 (forall (@list @t12 @t10 @t11) (= (and (tptp.in @t12 @t10) (not (= @t12 @t11))) (tptp.in @t12 (tptp.remove @t11 @t10))))) % 0.18/45.68 (assume @p6 (forall (@list @t13) (>= (tptp.count @t13) 0))) % 0.18/45.68 (assume @p7 @t17) % 0.18/45.68 (assume @p8 (forall (@list @t19 @t18) (= (not (tptp.in @t19 @t18)) (= (tptp.count (tptp.add @t19 @t18)) (+ (tptp.count @t18) 1))))) % 0.18/45.68 (assume @p9 (forall (@list @t21 @t20) (= (tptp.in @t21 @t20) (= (tptp.count (tptp.add @t21 @t20)) (tptp.count @t20))))) % 0.18/45.68 (assume @p10 @t31) % 0.18/45.68 (assume @p11 (forall (@list @t33 @t32) (= (not (tptp.in @t33 @t32)) (= (tptp.count (tptp.remove @t33 @t32)) (tptp.count @t32))))) % 0.18/45.68 (assume @p12 @t38) % 0.18/45.68 (assume @p13 @t49) % 0.18/45.68 (assume @p14 true) % 0.18/45.68 (step @p15 :rule aci_norm :args ((= (or (or @t55 @t54 @t52 @t51 @t50) @t40) @t56))) % 0.18/45.68 (step @p16 :rule refl :args (@t40)) % 0.18/45.68 (step @p17 :rule refl :args (@t50)) % 0.18/45.68 (step @p18 :rule refl :args (@t51)) % 0.18/45.68 (step @p19 :rule refl :args (@t52)) % 0.18/45.68 (step @p20 :rule refl :args (@t54)) % 0.18/45.68 (step @p21 :rule bool-double-not-elim :args (@t55)) % 0.18/45.68 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@p685 :rule evaluate :args ((+ 5 -7))) % 0.18/45.68 (step @p177 :rule evaluate :args (@t126)) % 0.18/45.68 (step @p686 :rule nary_cong :premises (@p109 @p177) :args (@t273)) % 0.18/45.68 (step @p687 :rule trans :premises (@p686 @p685)) % 0.18/45.68 (step @p688 :rule arith_poly_norm :args ((= @t274 0))) % 0.18/45.68 (step @p689 :rule cong :premises (@p688 @p687) :args ((<= @t274 @t273))) % 0.18/45.68 (step @p690 :rule trans :premises (@p689 @p684)) % 0.18/45.68 (step @p201 :rule arith_mult_neg :args (-1 @t65)) % 0.18/45.68 (step @p197 :rule evaluate :args (@t137)) % 0.18/45.68 (step @p198 :rule true_elim :premises (@p197)) % 0.18/45.68 (step @p202 :rule and_intro :premises (@p198 @p70)) % 0.18/45.68 (step @p203 :rule modus_ponens :premises (@p202 @p201)) % 0.18/45.68 (step @p691 :rule arith_sum_ub :premises (@p843 @p203)) % 0.18/45.68 (step @p692 false :rule eq_resolve :premises (@p691 @p690)) % 0.18/45.68 (step-pop @p846 :rule scope :premises (@p692)) % 0.18/45.68 (step @p693 :rule process_scope :premises (@p846) :args (false)) % 0.18/45.68 (step @p695 false :rule contra :premises (@p843 @p693)) % 0.18/45.68 (step-pop @p847 :rule scope :premises (@p695)) % 0.18/45.68 (step-pop @p848 :rule scope :premises (@p847)) % 0.18/45.68 (step @p696 :rule process_scope :premises (@p848) :args (false)) % 0.18/45.68 (assume-push @p849 @t65) % 0.18/45.68 (assume-push @p850 @t82) % 0.18/45.68 (step @p701 :rule and_intro :premises (@p850 @p70)) % 0.18/45.68 (step-pop @p851 :rule scope :premises (@p701)) % 0.18/45.68 (step-pop @p852 :rule scope :premises (@p851)) % 0.18/45.68 (step @p702 :rule process_scope :premises (@p852) :args (@t275)) % 0.18/45.68 (step @p705 :rule implies_elim :premises (@p702)) % 0.18/45.68 (step @p706 :rule resolution :premises (@p705 @p696) :args (true @t275)) % 0.18/45.68 (step @p707 :rule not_and :premises (@p706)) % 0.18/45.68 (step @p708 false :rule chain_m_resolution :premises (@p707 @p680 @p70) :args (false @t97 (@list @t82 @t65))) % 0.18/45.68 ) % 0.18/45.68 % SZS output end Proof % 0.18/45.68 % cvc5 exiting %------------------------------------------------------------------------------