%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : NUM862_1 : TPTP v9.2.1. Released v4.1.0. % 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 08:40:52 AM UTC 2026 % Result : Theorem 107.32s 107.58s % Output : Proof 107.32s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : NUM862_1 : TPTP v9.2.1. Released v4.1.0. % 0.13/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.17/0.34 % Computer : n020.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 : Tue Jun 2 12:30:40 EDT 2026 % 0.17/0.34 % CPUTime : % 0.32/0.49 %----Proving TF0_ARI % 107.32/107.58 --- Run --finite-model-find --decision=internal at 45... % 107.32/107.58 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 60... % 107.32/107.58 --- Run --no-e-matching --full-saturate-quant at 45... % 107.32/107.58 --- Run --cegqi-all --purify-triggers --full-saturate-quant at 45... % 107.32/107.58 % SZS status Theorem % 107.32/107.58 % SZS output start Proof % 107.32/107.58 ( % 107.32/107.58 (declare-const tptp.minsol_model_ub (-> Int Int Int Bool)) % 107.32/107.58 (declare-const tptp.minsol_model_max (-> Int Int Int Bool)) % 107.32/107.58 (declare-const tptp.model_ub (-> Int Int Int Bool)) % 107.32/107.58 (declare-const tptp.model_max (-> Int Int Int Bool)) % 107.32/107.58 (declare-const tptp.c Int) % 107.32/107.58 (declare-const tptp.ub (-> Int Int Int Bool)) % 107.32/107.58 (declare-const tptp.max (-> Int Int Int)) % 107.32/107.58 (declare-const tptp.summation (-> Int Int)) % 107.32/107.58 (define @t1 () (@var "Y" Int)) % 107.32/107.58 (define @t2 () (tptp.summation @t1)) % 107.32/107.58 (define @t3 () (@var "X" Int)) % 107.32/107.58 (define @t4 () (tptp.summation @t3)) % 107.32/107.58 (define @t5 () (<= @t3 @t1)) % 107.32/107.58 (define @t6 () (= @t5 (<= @t4 @t2))) % 107.32/107.58 (define @t7 () (@list @t3 @t1)) % 107.32/107.58 (define @t8 () (forall @t7 @t6)) % 107.32/107.58 (define @t9 () (not (<= @t1 @t3))) % 107.32/107.58 (define @t10 () (tptp.max @t3 @t1)) % 107.32/107.58 (define @t11 () (= @t10 @t3)) % 107.32/107.58 (define @t12 () (or @t11 @t9)) % 107.32/107.58 (define @t13 () (forall @t7 @t12)) % 107.32/107.58 (define @t14 () (not @t5)) % 107.32/107.58 (define @t15 () (= @t10 @t1)) % 107.32/107.58 (define @t16 () (or @t15 @t14)) % 107.32/107.58 (define @t17 () (forall @t7 @t16)) % 107.32/107.58 (define @t18 () (@var "Z" Int)) % 107.32/107.58 (define @t19 () (and (<= @t3 @t18) (<= @t1 @t18))) % 107.32/107.58 (define @t20 () (tptp.ub @t3 @t1 @t18)) % 107.32/107.58 (define @t21 () (= @t20 @t19)) % 107.32/107.58 (define @t22 () (@list @t3 @t1 @t18)) % 107.32/107.58 (define @t23 () (forall @t22 @t21)) % 107.32/107.58 (define @t24 () (@var "N" Int)) % 107.32/107.58 (define @t25 () (tptp.summation @t10)) % 107.32/107.58 (define @t26 () (+ tptp.c @t25)) % 107.32/107.58 (define @t27 () (tptp.model_max @t3 @t1 @t24)) % 107.32/107.58 (define @t28 () (= @t27 (<= @t26 @t24))) % 107.32/107.58 (define @t29 () (@list @t3 @t1 @t24)) % 107.32/107.58 (define @t30 () (forall @t29 @t28)) % 107.32/107.58 (define @t31 () (tptp.summation @t18)) % 107.32/107.58 (define @t32 () (+ tptp.c @t31)) % 107.32/107.58 (define @t33 () (and @t20 (<= @t32 @t24))) % 107.32/107.58 (define @t34 () (@list @t18)) % 107.32/107.58 (define @t35 () (exists @t34 @t33)) % 107.32/107.58 (define @t36 () (tptp.model_ub @t3 @t1 @t24)) % 107.32/107.58 (define @t37 () (= @t36 @t35)) % 107.32/107.58 (define @t38 () (forall @t29 @t37)) % 107.32/107.58 (define @t39 () (<= @t24 @t18)) % 107.32/107.58 (define @t40 () (tptp.model_max @t3 @t1 @t18)) % 107.32/107.58 (define @t41 () (=> @t40 @t39)) % 107.32/107.58 (define @t42 () (forall @t34 @t41)) % 107.32/107.58 (define @t43 () (and @t27 @t42)) % 107.32/107.58 (define @t44 () (tptp.minsol_model_max @t3 @t1 @t24)) % 107.32/107.58 (define @t45 () (= @t44 @t43)) % 107.32/107.58 (define @t46 () (forall @t29 @t45)) % 107.32/107.58 (define @t47 () (tptp.model_ub @t3 @t1 @t18)) % 107.32/107.58 (define @t48 () (=> @t47 @t39)) % 107.32/107.58 (define @t49 () (forall @t34 @t48)) % 107.32/107.58 (define @t50 () (and @t36 @t49)) % 107.32/107.58 (define @t51 () (tptp.minsol_model_ub @t3 @t1 @t24)) % 107.32/107.58 (define @t52 () (= @t51 @t50)) % 107.32/107.58 (define @t53 () (forall @t29 @t52)) % 107.32/107.58 (define @t54 () (forall @t22 (= (tptp.minsol_model_ub @t3 @t1 @t18) (tptp.minsol_model_max @t3 @t1 @t18)))) % 107.32/107.58 (define @t55 () (* -1 @t18)) % 107.32/107.58 (define @t56 () (+ @t1 @t55)) % 107.32/107.58 (define @t57 () (+ @t18 1)) % 107.32/107.58 (define @t58 () (>= @t1 @t57)) % 107.32/107.58 (define @t59 () (+ @t3 @t55)) % 107.32/107.58 (define @t60 () (>= @t3 @t57)) % 107.32/107.58 (define @t61 () (@quantifiers_skolemize @t54 2)) % 107.32/107.58 (define @t62 () (* -1 @t61)) % 107.32/107.58 (define @t63 () (+ tptp.c @t62 @t31)) % 107.32/107.58 (define @t64 () (>= @t63 0)) % 107.32/107.58 (define @t65 () (@quantifiers_skolemize @t54 1)) % 107.32/107.58 (define @t66 () (@quantifiers_skolemize @t54 0)) % 107.32/107.58 (define @t67 () (not (tptp.ub @t66 @t65 @t18))) % 107.32/107.58 (define @t68 () (forall @t34 (or @t67 @t64))) % 107.32/107.58 (define @t69 () (@quantifiers_skolemize @t68 0)) % 107.32/107.58 (define @t70 () (* -1 @t24)) % 107.32/107.58 (define @t71 () (+ tptp.c @t70 @t31)) % 107.32/107.58 (define @t72 () (>= @t71 1)) % 107.32/107.58 (define @t73 () (not @t20)) % 107.32/107.58 (define @t74 () (not @t72)) % 107.32/107.58 (define @t75 () (and @t20 @t74)) % 107.32/107.58 (define @t76 () (forall @t34 (not @t75))) % 107.32/107.58 (define @t77 () (not @t76)) % 107.32/107.58 (define @t78 () (+ @t24 1)) % 107.32/107.58 (define @t79 () (>= @t32 @t78)) % 107.32/107.58 (define @t80 () (>= (+ @t18 @t62) 0)) % 107.32/107.58 (define @t81 () (forall @t34 (or (not (tptp.model_ub @t66 @t65 @t18)) @t80))) % 107.32/107.58 (define @t82 () (@quantifiers_skolemize @t81 0)) % 107.32/107.58 (define @t83 () (@list @t66 @t65 @t61)) % 107.32/107.58 (define @t84 () (tptp.max @t66 @t65)) % 107.32/107.58 (define @t85 () (= @t65 @t84)) % 107.32/107.58 (define @t86 () (* -1 @t84)) % 107.32/107.58 (define @t87 () (+ @t65 @t86)) % 107.32/107.58 (define @t88 () (>= @t87 1)) % 107.32/107.58 (define @t89 () (<= 0 -1)) % 107.32/107.58 (define @t90 () (* -1 1)) % 107.32/107.58 (define @t91 () (+ @t90 0)) % 107.32/107.58 (define @t92 () (+ 0 0)) % 107.32/107.58 (define @t93 () (* 0 @t65)) % 107.32/107.58 (define @t94 () (= @t93 0)) % 107.32/107.58 (define @t95 () (* 0 @t84)) % 107.32/107.58 (define @t96 () (= @t95 0)) % 107.32/107.58 (define @t97 () (+ @t95 @t93)) % 107.32/107.58 (define @t98 () (* -1 @t87)) % 107.32/107.58 (define @t99 () (+ @t98 @t87)) % 107.32/107.58 (define @t100 () (= (* 1 (- @t87 0)) (* 1 (- @t65 @t84)))) % 107.32/107.58 (define @t101 () (= @t87 0)) % 107.32/107.58 (define @t102 () (= @t101 @t85)) % 107.32/107.58 (define @t103 () (< -1 0)) % 107.32/107.58 (define @t104 () (not @t88)) % 107.32/107.58 (define @t105 () (+ @t3 (* -1 @t1))) % 107.32/107.58 (define @t106 () (>= @t105 1)) % 107.32/107.58 (define @t107 () (+ @t1 1)) % 107.32/107.58 (define @t108 () (>= @t3 @t107)) % 107.32/107.58 (define @t109 () (@list @t66 @t65)) % 107.32/107.58 (define @t110 () (* -1 @t65)) % 107.32/107.58 (define @t111 () (+ @t66 @t110)) % 107.32/107.58 (define @t112 () (>= @t111 1)) % 107.32/107.58 (define @t113 () (or @t85 @t112)) % 107.32/107.58 (define @t114 () (>= @t111 0)) % 107.32/107.58 (define @t115 () (< @t111 0)) % 107.32/107.58 (define @t116 () (not @t115)) % 107.32/107.58 (define @t117 () (not true)) % 107.32/107.58 (define @t118 () (+ 0 @t90)) % 107.32/107.58 (define @t119 () (* 0 @t66)) % 107.32/107.58 (define @t120 () (= @t119 0)) % 107.32/107.58 (define @t121 () (+ @t93 @t119)) % 107.32/107.58 (define @t122 () (* -1 @t111)) % 107.32/107.58 (define @t123 () (+ @t111 @t122)) % 107.32/107.58 (define @t124 () (>= @t123 @t118)) % 107.32/107.58 (define @t125 () (not @t112)) % 107.32/107.58 (define @t126 () (not @t114)) % 107.32/107.58 (define @t127 () (= @t66 @t84)) % 107.32/107.58 (define @t128 () (or @t127 @t126)) % 107.32/107.58 (define @t129 () (+ 0 -1 0)) % 107.32/107.58 (define @t130 () (* -1 0)) % 107.32/107.58 (define @t131 () (+ @t130 @t90 0)) % 107.32/107.58 (define @t132 () (+ @t95 @t65 @t110 @t119)) % 107.32/107.58 (define @t133 () (+ @t66 @t86)) % 107.32/107.58 (define @t134 () (+ @t122 @t98 @t133)) % 107.32/107.58 (define @t135 () (= (* 1 (- @t133 0)) (* 1 (- @t66 @t84)))) % 107.32/107.58 (define @t136 () (= @t133 0)) % 107.32/107.58 (define @t137 () (= @t136 @t127)) % 107.32/107.58 (define @t138 () (and @t127 @t88 @t114)) % 107.32/107.58 (define @t139 () (not @t127)) % 107.32/107.58 (define @t140 () (>= @t133 1)) % 107.32/107.58 (define @t141 () (not @t140)) % 107.32/107.58 (define @t142 () (not @t104)) % 107.32/107.58 (define @t143 () (>= 0 0)) % 107.32/107.58 (define @t144 () (+ 0 1 @t90)) % 107.32/107.58 (define @t145 () (+ @t95 @t110 @t65 @t119)) % 107.32/107.58 (define @t146 () (* -1 @t133)) % 107.32/107.58 (define @t147 () (+ @t111 @t87 @t146)) % 107.32/107.58 (define @t148 () (>= @t147 @t144)) % 107.32/107.58 (define @t149 () (and @t140 @t104 @t126)) % 107.32/107.58 (define @t150 () (>= -1 0)) % 107.32/107.58 (define @t151 () (+ -1 @t84)) % 107.32/107.58 (define @t152 () (- @t151 @t84)) % 107.32/107.58 (define @t153 () (+ @t84 @t90)) % 107.32/107.58 (define @t154 () (+ (* -1 @t66) @t84)) % 107.32/107.58 (define @t155 () (+ @t66 @t146)) % 107.32/107.58 (define @t156 () (and @t139 @t127)) % 107.32/107.58 (define @t157 () (and @t141 @t104)) % 107.32/107.58 (define @t158 () (@list true true)) % 107.32/107.58 (define @t159 () (tptp.ub @t66 @t65 @t84)) % 107.32/107.58 (define @t160 () (= @t159 @t157)) % 107.32/107.58 (define @t161 () (@list false false)) % 107.32/107.58 (define @t162 () (+ tptp.c @t70 @t25)) % 107.32/107.58 (define @t163 () (>= @t162 1)) % 107.32/107.58 (define @t164 () (>= @t26 @t78)) % 107.32/107.58 (define @t165 () (+ @t18 @t70)) % 107.32/107.58 (define @t166 () (>= @t165 0)) % 107.32/107.58 (define @t167 () (tptp.minsol_model_max @t66 @t65 @t61)) % 107.32/107.58 (define @t168 () (tptp.minsol_model_ub @t66 @t65 @t61)) % 107.32/107.58 (define @t169 () (= @t168 @t167)) % 107.32/107.58 (define @t170 () (tptp.model_ub @t66 @t65 @t61)) % 107.32/107.58 (define @t171 () (and @t170 @t81)) % 107.32/107.58 (define @t172 () (= @t168 @t171)) % 107.32/107.58 (define @t173 () (not @t172)) % 107.32/107.58 (define @t174 () (not @t168)) % 107.32/107.58 (define @t175 () (forall @t34 (or (not (tptp.model_max @t66 @t65 @t18)) @t80))) % 107.32/107.58 (define @t176 () (tptp.model_max @t66 @t65 @t61)) % 107.32/107.58 (define @t177 () (and @t176 @t175)) % 107.32/107.58 (define @t178 () (= @t167 @t177)) % 107.32/107.58 (define @t179 () (not @t178)) % 107.32/107.58 (define @t180 () (not @t177)) % 107.32/107.58 (define @t181 () (not @t171)) % 107.32/107.58 (define @t182 () (forall @t34 (or @t67 (>= @t63 1)))) % 107.32/107.58 (define @t183 () (not @t182)) % 107.32/107.58 (define @t184 () (= @t170 @t183)) % 107.32/107.58 (define @t185 () (not @t184)) % 107.32/107.58 (define @t186 () (+ -1 @t61)) % 107.32/107.58 (define @t187 () (tptp.model_ub @t66 @t65 @t186)) % 107.32/107.58 (define @t188 () (not @t187)) % 107.32/107.58 (define @t189 () (+ @t62 @t61 -1)) % 107.32/107.58 (define @t190 () (+ @t186 @t62)) % 107.32/107.58 (define @t191 () (>= @t190 0)) % 107.32/107.58 (define @t192 () (or @t188 @t191)) % 107.32/107.58 (define @t193 () (@list @t186)) % 107.32/107.58 (define @t194 () (@quantifiers_skolemize @t182 0)) % 107.32/107.58 (define @t195 () (tptp.summation @t194)) % 107.32/107.58 (define @t196 () (+ tptp.c @t62 @t195)) % 107.32/107.58 (define @t197 () (>= @t196 1)) % 107.32/107.58 (define @t198 () (tptp.ub @t66 @t65 @t194)) % 107.32/107.58 (define @t199 () (not @t198)) % 107.32/107.58 (define @t200 () (or @t199 @t197)) % 107.32/107.58 (define @t201 () (not @t200)) % 107.32/107.58 (define @t202 () (not @t183)) % 107.32/107.58 (define @t203 () (+ 1 tptp.c @t62 @t31)) % 107.32/107.58 (define @t204 () (+ 1 @t62)) % 107.32/107.58 (define @t205 () (* -1 @t186)) % 107.32/107.58 (define @t206 () (+ tptp.c @t205 @t31)) % 107.32/107.58 (define @t207 () (>= @t206 1)) % 107.32/107.58 (define @t208 () (or @t67 @t207)) % 107.32/107.58 (define @t209 () (forall @t34 @t208)) % 107.32/107.58 (define @t210 () (not @t209)) % 107.32/107.58 (define @t211 () (= @t187 @t210)) % 107.32/107.58 (define @t212 () (forall @t29 (= @t36 (not (forall @t34 (or @t73 @t72)))))) % 107.32/107.58 (define @t213 () (@list @t66 @t65 @t186)) % 107.32/107.58 (define @t214 () (not @t68)) % 107.32/107.58 (define @t215 () (= @t187 @t214)) % 107.32/107.58 (define @t216 () (@list false)) % 107.32/107.58 (define @t217 () (not @t215)) % 107.32/107.58 (define @t218 () (not @t214)) % 107.32/107.58 (define @t219 () (>= @t196 0)) % 107.32/107.58 (define @t220 () (or @t199 @t219)) % 107.32/107.58 (define @t221 () (@list @t84)) % 107.32/107.58 (define @t222 () (tptp.summation @t84)) % 107.32/107.58 (define @t223 () (+ tptp.c @t62 @t222)) % 107.32/107.58 (define @t224 () (>= @t223 0)) % 107.32/107.58 (define @t225 () (not @t159)) % 107.32/107.58 (define @t226 () (or @t225 @t224)) % 107.32/107.58 (define @t227 () (* -1 @t194)) % 107.32/107.58 (define @t228 () (+ @t65 @t227)) % 107.32/107.58 (define @t229 () (>= @t228 1)) % 107.32/107.58 (define @t230 () (not @t229)) % 107.32/107.58 (define @t231 () (+ @t66 @t227)) % 107.32/107.58 (define @t232 () (>= @t231 1)) % 107.32/107.58 (define @t233 () (not @t232)) % 107.32/107.58 (define @t234 () (and @t233 @t230)) % 107.32/107.58 (define @t235 () (= @t198 @t234)) % 107.32/107.58 (define @t236 () (not @t234)) % 107.32/107.58 (define @t237 () (not @t224)) % 107.32/107.58 (define @t238 () (* -1 @t195)) % 107.32/107.58 (define @t239 () (+ @t222 @t238)) % 107.32/107.58 (define @t240 () (>= @t239 0)) % 107.32/107.58 (define @t241 () (not @t197)) % 107.32/107.58 (define @t242 () (not @t241)) % 107.32/107.58 (define @t243 () (not @t240)) % 107.32/107.58 (define @t244 () (+ @t130 -1 0)) % 107.32/107.58 (define @t245 () (= (+ @t238 @t195 0 0 0) 0)) % 107.32/107.58 (define @t246 () (* 0 tptp.c)) % 107.32/107.58 (define @t247 () (= @t246 0)) % 107.32/107.58 (define @t248 () (* 0 @t61)) % 107.32/107.58 (define @t249 () (= @t248 0)) % 107.32/107.58 (define @t250 () (* 0 @t222)) % 107.32/107.58 (define @t251 () (= @t250 0)) % 107.32/107.58 (define @t252 () (+ @t238 @t195 @t250 @t248 @t246)) % 107.32/107.58 (define @t253 () (* -1 @t223)) % 107.32/107.58 (define @t254 () (+ @t253 @t239 @t196)) % 107.32/107.58 (define @t255 () (>= @t239 1)) % 107.32/107.58 (define @t256 () (>= @t223 1)) % 107.32/107.58 (define @t257 () (not @t256)) % 107.32/107.58 (define @t258 () (not @t255)) % 107.32/107.58 (define @t259 () (+ 1 0 -1)) % 107.32/107.58 (define @t260 () (+ 1 0 @t90)) % 107.32/107.58 (define @t261 () (+ @t239 @t196 @t253)) % 107.32/107.58 (define @t262 () (>= @t261 @t260)) % 107.32/107.58 (define @t263 () (+ @t4 (* -1 @t2))) % 107.32/107.58 (define @t264 () (+ @t2 1)) % 107.32/107.58 (define @t265 () (>= @t263 1)) % 107.32/107.58 (define @t266 () (>= @t4 @t264)) % 107.32/107.58 (define @t267 () (+ @t194 @t86)) % 107.32/107.58 (define @t268 () (>= @t267 0)) % 107.32/107.58 (define @t269 () (+ @t227 @t84)) % 107.32/107.58 (define @t270 () (+ @t267 1)) % 107.32/107.58 (define @t271 () (+ @t84 @t227)) % 107.32/107.58 (define @t272 () (>= @t271 1)) % 107.32/107.58 (define @t273 () (not @t272)) % 107.32/107.58 (define @t274 () (= @t273 @t258)) % 107.32/107.58 (define @t275 () (forall @t7 (= (not @t106) (not @t265)))) % 107.32/107.58 (define @t276 () (= @t258 @t268)) % 107.32/107.58 (define @t277 () (@list @t275)) % 107.32/107.58 (define @t278 () (not @t268)) % 107.32/107.58 (define @t279 () (>= @t267 1)) % 107.32/107.58 (define @t280 () (not @t279)) % 107.32/107.58 (define @t281 () (not @t278)) % 107.32/107.58 (define @t282 () (+ @t90 -1)) % 107.32/107.58 (define @t283 () (* 0 @t194)) % 107.32/107.58 (define @t284 () (+ @t95 @t283)) % 107.32/107.58 (define @t285 () (+ (* -1 @t267) @t267)) % 107.32/107.58 (define @t286 () (= @t65 @t194)) % 107.32/107.58 (define @t287 () (not @t286)) % 107.32/107.58 (define @t288 () (not @t85)) % 107.32/107.58 (define @t289 () (= @t222 @t195)) % 107.32/107.58 (define @t290 () (= @t239 0)) % 107.32/107.58 (define @t291 () (+ 0 -1 1)) % 107.32/107.58 (define @t292 () (+ 0 @t90 1)) % 107.32/107.58 (define @t293 () (+ @t239 @t253 @t196)) % 107.32/107.58 (define @t294 () (>= @t293 @t292)) % 107.32/107.58 (define @t295 () (and @t241 @t256 @t289)) % 107.32/107.58 (define @t296 () (+ @t130 -1 1)) % 107.32/107.58 (define @t297 () (= (+ @t227 0 @t194 0) 0)) % 107.32/107.58 (define @t298 () (+ @t227 @t95 @t194 @t93)) % 107.32/107.58 (define @t299 () (+ @t98 @t228 @t267)) % 107.32/107.58 (define @t300 () (>= @t299 @t296)) % 107.32/107.58 (define @t301 () (= @t228 0)) % 107.32/107.58 (define @t302 () (and @t280 @t230 @t287 @t85)) % 107.32/107.58 (define @t303 () (+ 0 1)) % 107.32/107.58 (define @t304 () (>= @t231 @t303)) % 107.32/107.58 (define @t305 () (<= @t231 0)) % 107.32/107.58 (define @t306 () (+ 0 0 0)) % 107.32/107.58 (define @t307 () (+ 0 0 @t130)) % 107.32/107.58 (define @t308 () (+ @t227 @t95 @t194 @t119)) % 107.32/107.58 (define @t309 () (+ @t231 @t267 @t146)) % 107.32/107.58 (define @t310 () (>= @t309 @t307)) % 107.32/107.58 (define @t311 () (and @t127 @t278 @t233)) % 107.32/107.58 (define @t312 () (= @t176 @t257)) % 107.32/107.58 (define @t313 () (not @t312)) % 107.32/107.58 (define @t314 () (@quantifiers_skolemize @t175 0)) % 107.32/107.58 (define @t315 () (* -1 @t314)) % 107.32/107.58 (define @t316 () (+ @t61 @t315)) % 107.32/107.58 (define @t317 () (>= @t316 1)) % 107.32/107.58 (define @t318 () (not @t317)) % 107.32/107.58 (define @t319 () (tptp.model_max @t66 @t65 @t314)) % 107.32/107.58 (define @t320 () (not @t319)) % 107.32/107.58 (define @t321 () (or @t320 @t318)) % 107.32/107.58 (define @t322 () (not @t321)) % 107.32/107.58 (define @t323 () (not @t175)) % 107.32/107.58 (define @t324 () (+ @t62 @t314)) % 107.32/107.58 (define @t325 () (+ @t316 1)) % 107.32/107.58 (define @t326 () (+ @t314 @t62)) % 107.32/107.58 (define @t327 () (>= @t326 0)) % 107.32/107.58 (define @t328 () (or @t320 @t327)) % 107.32/107.58 (define @t329 () (not @t328)) % 107.32/107.58 (define @t330 () (+ tptp.c @t315 @t222)) % 107.32/107.58 (define @t331 () (>= @t330 1)) % 107.32/107.58 (define @t332 () (not @t331)) % 107.32/107.58 (define @t333 () (= @t319 @t332)) % 107.32/107.58 (define @t334 () (not @t219)) % 107.32/107.58 (define @t335 () (+ @t130 0 @t90 @t130)) % 107.32/107.58 (define @t336 () (* 0 @t314)) % 107.32/107.58 (define @t337 () (+ @t336 @t195 @t238 @t250 @t61 @t62 @t246)) % 107.32/107.58 (define @t338 () (+ (* -1 @t239) @t330 (* -1 @t316) (* -1 @t196))) % 107.32/107.58 (define @t339 () (@list @t177)) % 107.32/107.58 (define @t340 () (or @t225 @t256)) % 107.32/107.58 (define @t341 () (not @t340)) % 107.32/107.58 (define @t342 () (@list true false)) % 107.32/107.58 (define @t343 () (@list true)) % 107.32/107.58 (define @t344 () (not @t81)) % 107.32/107.58 (define @t345 () (* -1 @t82)) % 107.32/107.58 (define @t346 () (+ @t61 @t345)) % 107.32/107.58 (define @t347 () (>= @t346 1)) % 107.32/107.58 (define @t348 () (not @t347)) % 107.32/107.58 (define @t349 () (tptp.model_ub @t66 @t65 @t82)) % 107.32/107.58 (define @t350 () (not @t349)) % 107.32/107.58 (define @t351 () (or @t350 @t348)) % 107.32/107.58 (define @t352 () (not @t351)) % 107.32/107.58 (define @t353 () (+ @t62 @t82)) % 107.32/107.58 (define @t354 () (+ @t346 1)) % 107.32/107.58 (define @t355 () (+ @t82 @t62)) % 107.32/107.58 (define @t356 () (>= @t355 0)) % 107.32/107.58 (define @t357 () (or @t350 @t356)) % 107.32/107.58 (define @t358 () (not @t357)) % 107.32/107.58 (define @t359 () (@list @t351)) % 107.32/107.58 (define @t360 () (forall @t34 (or @t67 (>= (+ tptp.c @t345 @t31) 1)))) % 107.32/107.58 (define @t361 () (not @t360)) % 107.32/107.58 (define @t362 () (= @t349 @t361)) % 107.32/107.58 (define @t363 () (@quantifiers_skolemize @t360 0)) % 107.32/107.58 (define @t364 () (tptp.summation @t363)) % 107.32/107.58 (define @t365 () (+ tptp.c @t345 @t364)) % 107.32/107.58 (define @t366 () (>= @t365 1)) % 107.32/107.58 (define @t367 () (tptp.ub @t66 @t65 @t363)) % 107.32/107.58 (define @t368 () (not @t367)) % 107.32/107.58 (define @t369 () (or @t368 @t366)) % 107.32/107.58 (define @t370 () (not @t369)) % 107.32/107.58 (define @t371 () (not @t366)) % 107.32/107.58 (define @t372 () (@list @t369)) % 107.32/107.58 (define @t373 () (+ tptp.c @t62 @t364)) % 107.32/107.58 (define @t374 () (>= @t373 0)) % 107.32/107.58 (define @t375 () (not @t374)) % 107.32/107.58 (define @t376 () (* 0 @t82)) % 107.32/107.58 (define @t377 () (* 0 @t364)) % 107.32/107.58 (define @t378 () (+ @t377 @t376 @t61 @t62 @t246)) % 107.32/107.58 (define @t379 () (+ (* -1 @t373) (* -1 @t346) @t365)) % 107.32/107.58 (define @t380 () (@list false true)) % 107.32/107.58 (define @t381 () (or @t368 @t374)) % 107.32/107.58 (define @t382 () (not @t381)) % 107.32/107.58 (define @t383 () (tptp.summation @t69)) % 107.32/107.58 (define @t384 () (+ tptp.c @t62 @t383)) % 107.32/107.58 (define @t385 () (>= @t384 0)) % 107.32/107.58 (define @t386 () (tptp.ub @t66 @t65 @t69)) % 107.32/107.58 (define @t387 () (not @t386)) % 107.32/107.58 (define @t388 () (or @t387 @t385)) % 107.32/107.58 (define @t389 () (not @t388)) % 107.32/107.58 (define @t390 () (@list @t388)) % 107.32/107.58 (define @t391 () (* -1 @t69)) % 107.32/107.58 (define @t392 () (+ @t65 @t391)) % 107.32/107.58 (define @t393 () (>= @t392 1)) % 107.32/107.58 (define @t394 () (not @t393)) % 107.32/107.58 (define @t395 () (+ @t66 @t391)) % 107.32/107.58 (define @t396 () (>= @t395 1)) % 107.32/107.58 (define @t397 () (not @t396)) % 107.32/107.58 (define @t398 () (and @t397 @t394)) % 107.32/107.58 (define @t399 () (= @t386 @t398)) % 107.32/107.58 (define @t400 () (not @t398)) % 107.32/107.58 (define @t401 () (@list @t398)) % 107.32/107.58 (define @t402 () (+ @t69 @t86)) % 107.32/107.58 (define @t403 () (>= @t402 0)) % 107.32/107.58 (define @t404 () (* -1 @t383)) % 107.32/107.58 (define @t405 () (+ @t222 @t404)) % 107.32/107.58 (define @t406 () (>= @t405 1)) % 107.32/107.58 (define @t407 () (not @t406)) % 107.32/107.58 (define @t408 () (+ @t391 @t84)) % 107.32/107.58 (define @t409 () (+ @t402 1)) % 107.32/107.58 (define @t410 () (+ @t84 @t391)) % 107.32/107.58 (define @t411 () (>= @t410 1)) % 107.32/107.58 (define @t412 () (not @t411)) % 107.32/107.58 (define @t413 () (= @t412 @t407)) % 107.32/107.58 (define @t414 () (= @t407 @t403)) % 107.32/107.58 (define @t415 () (not @t385)) % 107.32/107.58 (define @t416 () (tptp.model_max @t66 @t65 @t186)) % 107.32/107.58 (define @t417 () (+ 1 tptp.c @t62 @t222)) % 107.32/107.58 (define @t418 () (+ tptp.c @t205 @t222)) % 107.32/107.58 (define @t419 () (>= @t418 1)) % 107.32/107.58 (define @t420 () (not @t419)) % 107.32/107.58 (define @t421 () (= @t416 @t420)) % 107.32/107.58 (define @t422 () (forall @t29 (= @t27 (not @t163)))) % 107.32/107.58 (define @t423 () (= @t237 @t416)) % 107.32/107.58 (define @t424 () (not @t416)) % 107.32/107.58 (define @t425 () (or @t424 @t191)) % 107.32/107.58 (define @t426 () (not @t423)) % 107.32/107.58 (define @t427 () (+ 1 @t130 -1)) % 107.32/107.58 (define @t428 () (+ @t404 @t383 @t250 @t248 @t246)) % 107.32/107.58 (define @t429 () (+ @t405 @t253 @t384)) % 107.32/107.58 (define @t430 () (>= @t429 @t427)) % 107.32/107.58 (define @t431 () (not @t403)) % 107.32/107.58 (define @t432 () (not @t431)) % 107.32/107.58 (define @t433 () (= (+ @t391 @t69 0 0) 0)) % 107.32/107.58 (define @t434 () (+ @t391 @t69 @t95 @t119)) % 107.32/107.58 (define @t435 () (+ @t402 @t395 @t146)) % 107.32/107.58 (define @t436 () (>= @t435 @t307)) % 107.32/107.58 (define @t437 () (+ @t391 @t69 @t95 @t93)) % 107.32/107.58 (define @t438 () (+ @t98 @t402 @t392)) % 107.32/107.58 (define @t439 () (>= @t438 @t296)) % 107.32/107.58 (define @t440 () (and @t394 @t431 @t85)) % 107.32/107.58 (assume @p1 @t8) % 107.32/107.58 (assume @p2 @t13) % 107.32/107.58 (assume @p3 @t17) % 107.32/107.58 (assume @p4 @t23) % 107.32/107.58 (assume @p5 @t30) % 107.32/107.58 (assume @p6 @t38) % 107.32/107.58 (assume @p7 @t46) % 107.32/107.58 (assume @p8 @t53) % 107.32/107.58 (assume @p9 (not @t54)) % 107.32/107.58 (assume @p10 true) % 107.32/107.58 (step @p11 :rule arith_poly_norm :args ((= (* -1 (- @t1 @t57)) (* -1 (- @t56 1))))) % 107.32/107.58 (step @p12 :rule arith_poly_norm_rel :premises (@p11) :args ((= @t58 (>= @t56 1)))) % 107.32/107.58 (step @p13 :rule cong :premises (@p12) :args ((not @t58))) % 107.32/107.58 (step @p14 :rule arith-leq-norm :args (@t1 @t18)) % 107.32/107.58 (step @p15 :rule trans :premises (@p14 @p13)) % 107.32/107.58 (step @p16 :rule arith_poly_norm :args ((= (* -1 (- @t3 @t57)) (* -1 (- @t59 1))))) % 107.32/107.58 (step @p17 :rule arith_poly_norm_rel :premises (@p16) :args ((= @t60 (>= @t59 1)))) % 107.32/107.58 (step @p18 :rule cong :premises (@p17) :args ((not @t60))) % 107.32/107.58 (step @p19 :rule arith-leq-norm :args (@t3 @t18)) % 107.32/107.58 (step @p20 :rule trans :premises (@p19 @p18)) % 107.32/107.58 (step @p21 :rule nary_cong :premises (@p20 @p15) :args (@t19)) % 107.32/107.58 (step @p22 :rule refl :args (@t20)) % 107.32/107.58 (step @p23 :rule cong :premises (@p22 @p21) :args (@t21)) % 107.32/107.58 (step @p24 :rule cong :premises (@p23) :args (@t23)) % 107.32/107.58 (step @p25 :rule eq_resolve :premises (@p4 @p24)) % 107.32/107.58 (step @p26 :rule instantiate :premises (@p25) :args ((@list @t66 @t65 @t69))) % 107.32/107.58 (step @p27 :rule bool-double-not-elim :args (@t72)) % 107.32/107.58 (step @p28 :rule refl :args (@t73)) % 107.32/107.58 (step @p29 :rule nary_cong :premises (@p28 @p27) :args ((or @t73 (not @t74)))) % 107.32/107.58 (step @p30 :rule bool-and-de-morgan :args (@t20 @t74 true)) % 107.32/107.58 (step @p31 :rule trans :premises (@p30 @p29)) % 107.32/107.58 (step @p32 :rule cong :premises (@p31) :args (@t76)) % 107.32/107.58 (step @p33 :rule cong :premises (@p32) :args (@t77)) % 107.32/107.58 (step @p34 :rule exists-elim :args ((= (exists @t34 @t75) @t77))) % 107.32/107.58 (step @p35 :rule trans :premises (@p34 @p33)) % 107.32/107.58 (step @p36 :rule arith_poly_norm :args ((= (* -1 (- @t32 @t78)) (* -1 (- @t71 1))))) % 107.32/107.58 (step @p37 :rule arith_poly_norm_rel :premises (@p36) :args ((= @t79 @t72))) % 107.32/107.58 (step @p38 :rule cong :premises (@p37) :args ((not @t79))) % 107.32/107.58 (step @p39 :rule arith-leq-norm :args (@t32 @t24)) % 107.32/107.58 (step @p40 :rule trans :premises (@p39 @p38)) % 107.32/107.58 (step @p41 :rule nary_cong :premises (@p22 @p40) :args (@t33)) % 107.32/107.58 (step @p42 :rule cong :premises (@p41) :args (@t35)) % 107.32/107.58 (step @p43 :rule trans :premises (@p42 @p35)) % 107.32/107.58 (step @p44 :rule refl :args (@t36)) % 107.32/107.58 (step @p45 :rule cong :premises (@p44 @p43) :args (@t37)) % 107.32/107.58 (step @p46 :rule cong :premises (@p45) :args (@t38)) % 107.32/107.58 (step @p47 :rule eq_resolve :premises (@p6 @p46)) % 107.32/107.58 (step @p48 :rule instantiate :premises (@p47) :args ((@list @t66 @t65 @t82))) % 107.32/107.58 (step @p49 :rule instantiate :premises (@p47) :args (@t83)) % 107.32/107.58 (step @p50 :rule instantiate :premises (@p25) :args ((@list @t66 @t65 @t84))) % 107.32/107.58 (assume-push @p1251 @t85) % 107.32/107.58 (assume-push @p1252 @t85) % 107.32/107.58 (step @p53 :rule arith-elim-lt :args (@t87 1)) % 107.32/107.58 (step @p54 :rule symm :premises (@p53)) % 107.32/107.58 (assume-push @p1253 @t88) % 107.32/107.58 (step @p56 :rule evaluate :args (@t89)) % 107.32/107.58 (step @p57 :rule evaluate :args ((+ -1 0))) % 107.32/107.58 (step @p58 :rule refl :args (0)) % 107.32/107.58 (step @p59 :rule evaluate :args (@t90)) % 107.32/107.58 (step @p60 :rule nary_cong :premises (@p59 @p58) :args (@t91)) % 107.32/107.58 (step @p61 :rule trans :premises (@p60 @p57)) % 107.32/107.58 (step @p62 :rule evaluate :args (@t92)) % 107.32/107.58 (step @p63 :rule arith_poly_norm :args (@t94)) % 107.32/107.58 (step @p64 :rule arith_poly_norm :args (@t96)) % 107.32/107.58 (step @p65 :rule nary_cong :premises (@p64 @p63) :args (@t97)) % 107.32/107.58 (step @p66 :rule trans :premises (@p65 @p62)) % 107.32/107.58 (step @p67 :rule arith_poly_norm :args ((= @t99 @t97))) % 107.32/107.58 (step @p68 :rule trans :premises (@p67 @p66)) % 107.32/107.58 (step @p69 :rule cong :premises (@p68 @p61) :args ((<= @t99 @t91))) % 107.32/107.58 (step @p70 :rule trans :premises (@p69 @p56)) % 107.32/107.58 (step @p71 :rule arith_poly_norm :args (@t100)) % 107.32/107.58 (step @p72 :rule arith_poly_norm_rel :premises (@p71) :args (@t102)) % 107.32/107.58 (step @p73 :rule symm :premises (@p72)) % 107.32/107.58 (step @p74 :rule eq_resolve :premises (@p1251 @p73)) % 107.32/107.58 (step @p75 :rule arith_mult_neg :args (-1 @t88)) % 107.32/107.58 (step @p76 :rule evaluate :args (@t103)) % 107.32/107.58 (step @p77 :rule true_elim :premises (@p76)) % 107.32/107.58 (step @p78 :rule and_intro :premises (@p77 @p1253)) % 107.32/107.58 (step @p79 :rule modus_ponens :premises (@p78 @p75)) % 107.32/107.58 (step @p80 :rule arith_sum_ub :premises (@p79 @p74)) % 107.32/107.58 (step @p81 false :rule eq_resolve :premises (@p80 @p70)) % 107.32/107.58 (step-pop @p1254 :rule scope :premises (@p81)) % 107.32/107.58 (step @p82 :rule process_scope :premises (@p1254) :args (false)) % 107.32/107.58 (step @p84 :rule eq_resolve :premises (@p82 @p54)) % 107.32/107.58 (step @p85 :rule eq_resolve :premises (@p84 @p53)) % 107.32/107.58 (step-pop @p1255 :rule scope :premises (@p85)) % 107.32/107.58 (step @p86 :rule process_scope :premises (@p1255) :args (@t104)) % 107.32/107.58 (step @p88 :rule modus_ponens :premises (@p1251 @p86)) % 107.32/107.58 (step-pop @p1256 :rule scope :premises (@p88)) % 107.32/107.58 (step @p89 :rule process_scope :premises (@p1256) :args (@t104)) % 107.32/107.58 (step @p91 :rule implies_elim :premises (@p89)) % 107.32/107.58 (step @p92 :rule bool-double-not-elim :args (@t106)) % 107.32/107.58 (step @p93 :rule arith_poly_norm :args ((= (* -1 (- @t3 @t107)) (* -1 (- @t105 1))))) % 107.32/107.58 (step @p94 :rule arith_poly_norm_rel :premises (@p93) :args ((= @t108 @t106))) % 107.32/107.58 (step @p95 :rule cong :premises (@p94) :args ((not @t108))) % 107.32/107.58 (step @p96 :rule arith-leq-norm :args (@t3 @t1)) % 107.32/107.58 (step @p97 :rule trans :premises (@p96 @p95)) % 107.32/107.58 (step @p98 :rule cong :premises (@p97) :args (@t14)) % 107.32/107.58 (step @p99 :rule trans :premises (@p98 @p92)) % 107.32/107.58 (step @p100 :rule arith_poly_norm :args ((= (* 1 (- @t10 @t1)) (* -1 (- @t1 @t10))))) % 107.32/107.58 (step @p101 :rule arith_poly_norm_rel :premises (@p100) :args ((= @t15 (= @t1 @t10)))) % 107.32/107.58 (step @p102 :rule nary_cong :premises (@p101 @p99) :args (@t16)) % 107.32/107.58 (step @p103 :rule cong :premises (@p102) :args (@t17)) % 107.32/107.58 (step @p104 :rule eq_resolve :premises (@p3 @p103)) % 107.32/107.58 (step @p105 :rule instantiate :premises (@p104) :args (@t109)) % 107.32/107.58 (step @p106 :rule cnf_or_pos :args (@t113)) % 107.32/107.58 (step @p107 :rule reordering :premises (@p106) :args ((or @t85 @t112 (not @t113)))) % 107.32/107.58 (assume-push @p1257 @t112) % 107.32/107.58 (assume-push @p1258 @t112) % 107.32/107.58 (step @p110 :rule bool-double-not-elim :args (@t114)) % 107.32/107.58 (step @p111 :rule arith-elim-lt :args (@t111 0)) % 107.32/107.58 (step @p112 :rule cong :premises (@p111) :args (@t116)) % 107.32/107.58 (step @p113 :rule trans :premises (@p112 @p110)) % 107.32/107.58 (assume-push @p1259 @t115) % 107.32/107.58 (step @p115 :rule evaluate :args (@t117)) % 107.32/107.58 (step @p116 :rule evaluate :args ((>= 0 -1))) % 107.32/107.58 (step @p117 :rule evaluate :args ((+ 0 -1))) % 107.32/107.58 (step @p59 :rule evaluate 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evaluate :args (@t143)) % 107.32/107.59 (step @p753 :rule evaluate :args (@t306)) % 107.32/107.59 (step @p165 :rule evaluate :args (@t130)) % 107.32/107.59 (step @p754 :rule nary_cong :premises (@p58 @p58 @p165) :args (@t307)) % 107.32/107.59 (step @p755 :rule trans :premises (@p754 @p753)) % 107.32/107.59 (step @p1169 :rule arith_poly_norm :args (@t433)) % 107.32/107.59 (step @p120 :rule arith_poly_norm :args (@t120)) % 107.32/107.59 (step @p64 :rule arith_poly_norm :args (@t96)) % 107.32/107.59 (step @p1170 :rule refl :args (@t69)) % 107.32/107.59 (step @p1171 :rule refl :args (@t391)) % 107.32/107.59 (step @p1172 :rule nary_cong :premises (@p1171 @p1170 @p64 @p120) :args (@t434)) % 107.32/107.59 (step @p1173 :rule trans :premises (@p1172 @p1169)) % 107.32/107.59 (step @p1174 :rule arith_poly_norm :args ((= @t435 @t434))) % 107.32/107.59 (step @p1175 :rule trans :premises (@p1174 @p1173)) % 107.32/107.59 (step @p1176 :rule cong :premises (@p1175 @p755) :args (@t436)) % 107.32/107.59 (step @p1177 :rule trans :premises (@p1176 @p218)) % 107.32/107.59 (step @p1178 :rule cong :premises (@p1177) :args ((not @t436))) % 107.32/107.59 (step @p1179 :rule trans :premises (@p1178 @p115)) % 107.32/107.59 (step @p1180 :rule arith-elim-lt :args (@t435 @t307)) % 107.32/107.59 (step @p1181 :rule trans :premises (@p1180 @p1179)) % 107.32/107.59 (step @p766 :rule arith_mult_neg :args (-1 @t136)) % 107.32/107.59 (step @p177 :rule arith_poly_norm :args (@t135)) % 107.32/107.59 (step @p178 :rule arith_poly_norm_rel :premises (@p177) :args (@t137)) % 107.32/107.59 (step @p179 :rule symm :premises (@p178)) % 107.32/107.59 (step @p1182 :rule eq_resolve :premises (@p1424 @p179)) % 107.32/107.59 (step @p76 :rule evaluate :args (@t103)) % 107.32/107.59 (step @p77 :rule true_elim :premises (@p76)) % 107.32/107.59 (step @p1183 :rule and_intro :premises (@p77 @p1182)) % 107.32/107.59 (step @p1184 :rule modus_ponens :premises (@p1183 @p766)) % 107.32/107.59 (step @p1185 :rule arith-elim-lt :args (@t395 1)) % 107.32/107.59 (step @p1186 :rule symm :premises (@p1185)) % 107.32/107.59 (step @p1187 :rule eq_resolve :premises (@p1423 @p1186)) % 107.32/107.59 (step @p1188 :rule int_tight_ub :premises (@p1187)) % 107.32/107.59 (step @p1189 :rule arith-elim-lt :args (@t402 0)) % 107.32/107.59 (step @p1190 :rule symm :premises (@p1189)) % 107.32/107.59 (step @p1191 :rule eq_resolve :premises (@p1425 @p1190)) % 107.32/107.59 (step @p1192 :rule arith_sum_ub :premises (@p1191 @p1188 @p1184)) % 107.32/107.59 (step @p1193 false :rule eq_resolve :premises (@p1192 @p1181)) % 107.32/107.59 (step-pop @p1426 :rule scope :premises (@p1193)) % 107.32/107.59 (step-pop @p1427 :rule scope :premises (@p1426)) % 107.32/107.59 (step-pop @p1428 :rule scope :premises (@p1427)) % 107.32/107.59 (step @p1194 :rule process_scope :premises (@p1428) :args (false)) % 107.32/107.59 (step @p1198 :rule not_and :premises (@p1194)) % 107.32/107.59 (step @p1199 :rule eq_resolve :premises (@p1198 @p1165)) % 107.32/107.59 (step @p1200 :rule reordering :premises (@p1199) :args ((or @t139 @t403 @t396))) % 107.32/107.59 (step @p1201 :rule chain_m_resolution :premises (@p1200 @p1160 @p1163) :args (@t139 @t158 (@list @t403 @t396))) % 107.32/107.59 (step @p1202 :rule chain_m_resolution :premises (@p158 @p1201 @p156) :args (@t126 @t342 (@list @t127 @t128))) % 107.32/107.59 (step @p1203 :rule chain_m_resolution :premises (@p145 @p1202) :args (@t125 @t343 (@list @t114))) % 107.32/107.59 (step @p1204 :rule chain_m_resolution :premises (@p107 @p1203 @p105) :args (@t85 @t342 (@list @t112 @t113))) % 107.32/107.59 (step @p1205 :rule bool-double-not-elim :args (@t393)) % 107.32/107.59 (step @p1206 :rule nary_cong :premises (@p607 @p1051 @p1205) :args ((or @t288 @t432 (not @t394)))) % 107.32/107.59 (assume-push @p1429 @t394) % 107.32/107.59 (assume-push @p1430 @t431) % 107.32/107.59 (assume-push @p1431 @t85) % 107.32/107.59 (assume-push @p1432 @t101) % 107.32/107.59 (step @p115 :rule evaluate :args (@t117)) % 107.32/107.59 (step @p218 :rule evaluate :args (@t143)) % 107.32/107.59 (step @p613 :rule evaluate :args (@t291)) % 107.32/107.59 (step @p465 :rule refl :args (-1)) % 107.32/107.59 (step @p165 :rule evaluate :args (@t130)) % 107.32/107.59 (step @p673 :rule nary_cong :premises (@p165 @p465 @p220) :args (@t296)) % 107.32/107.59 (step @p674 :rule trans :premises (@p673 @p613)) % 107.32/107.59 (step @p1169 :rule arith_poly_norm :args (@t433)) % 107.32/107.59 (step @p63 :rule arith_poly_norm :args (@t94)) % 107.32/107.59 (step @p64 :rule arith_poly_norm :args (@t96)) % 107.32/107.59 (step @p1170 :rule refl :args (@t69)) % 107.32/107.59 (step @p1171 :rule refl :args (@t391)) % 107.32/107.59 (step @p1211 :rule nary_cong :premises (@p1171 @p1170 @p64 @p63) :args (@t437)) % 107.32/107.59 (step @p1212 :rule trans :premises (@p1211 @p1169)) % 107.32/107.59 (step @p1213 :rule arith_poly_norm :args ((= @t438 @t437))) % 107.32/107.59 (step @p1214 :rule trans :premises (@p1213 @p1212)) % 107.32/107.59 (step @p1215 :rule cong :premises (@p1214 @p674) :args (@t439)) % 107.32/107.59 (step @p1216 :rule trans :premises (@p1215 @p218)) % 107.32/107.59 (step @p1217 :rule cong :premises (@p1216) :args ((not @t439))) % 107.32/107.59 (step @p1218 :rule trans :premises (@p1217 @p115)) % 107.32/107.59 (step @p1219 :rule arith-elim-lt :args (@t438 @t296)) % 107.32/107.59 (step @p1220 :rule trans :premises (@p1219 @p1218)) % 107.32/107.59 (step @p1221 :rule arith-elim-lt :args (@t392 1)) % 107.32/107.59 (step @p1222 :rule symm :premises (@p1221)) % 107.32/107.59 (step @p1223 :rule eq_resolve :premises (@p1429 @p1222)) % 107.32/107.59 (step @p1189 :rule arith-elim-lt :args (@t402 0)) % 107.32/107.59 (step @p1190 :rule symm :premises (@p1189)) % 107.32/107.59 (step @p1224 :rule eq_resolve :premises (@p1430 @p1190)) % 107.32/107.59 (step @p1225 :rule int_tight_ub :premises (@p1224)) % 107.32/107.59 (step @p700 :rule arith_mult_neg :args (-1 @t101)) % 107.32/107.59 (step @p76 :rule evaluate :args (@t103)) % 107.32/107.59 (step @p77 :rule true_elim :premises (@p76)) % 107.32/107.59 (step @p1226 :rule and_intro :premises (@p77 @p1432)) % 107.32/107.59 (step @p1227 :rule modus_ponens :premises (@p1226 @p700)) % 107.32/107.59 (step @p1228 :rule arith_sum_ub :premises (@p1227 @p1225 @p1223)) % 107.32/107.59 (step @p1229 false :rule eq_resolve :premises (@p1228 @p1220)) % 107.32/107.59 (step-pop @p1433 :rule scope :premises (@p1229)) % 107.32/107.59 (step @p1230 :rule process_scope :premises (@p1433) :args (false)) % 107.32/107.59 (step @p71 :rule arith_poly_norm :args (@t100)) % 107.32/107.59 (step @p72 :rule arith_poly_norm_rel :premises (@p71) :args (@t102)) % 107.32/107.59 (step @p73 :rule symm :premises (@p72)) % 107.32/107.59 (step @p1232 :rule eq_resolve :premises (@p1431 @p73)) % 107.32/107.59 (step @p1233 false :rule contra :premises (@p1232 @p1230)) % 107.32/107.59 (step-pop @p1434 :rule scope :premises (@p1233)) % 107.32/107.59 (step-pop @p1435 :rule scope :premises (@p1434)) % 107.32/107.59 (step-pop @p1436 :rule scope :premises (@p1435)) % 107.32/107.59 (step @p1234 :rule process_scope :premises (@p1436) :args (false)) % 107.32/107.59 (assume-push @p1437 @t85) % 107.32/107.59 (assume-push @p1438 @t431) % 107.32/107.59 (assume-push @p1439 @t394) % 107.32/107.59 (step @p1241 :rule and_intro :premises (@p1439 @p1438 @p1437)) % 107.32/107.59 (step-pop @p1440 :rule scope :premises (@p1241)) % 107.32/107.59 (step-pop @p1441 :rule scope :premises (@p1440)) % 107.32/107.59 (step-pop @p1442 :rule scope :premises (@p1441)) % 107.32/107.59 (step @p1242 :rule process_scope :premises (@p1442) :args (@t440)) % 107.32/107.59 (step @p1246 :rule implies_elim :premises (@p1242)) % 107.32/107.59 (step @p1247 :rule resolution :premises (@p1246 @p1234) :args (true @t440)) % 107.32/107.59 (step @p1248 :rule not_and :premises (@p1247)) % 107.32/107.59 (step @p1249 :rule eq_resolve :premises (@p1248 @p1206)) % 107.32/107.59 (step @p1250 false :rule chain_m_resolution :premises (@p1249 @p1204 @p1160 @p1048) :args (false (@list false true true) (@list @t85 @t403 @t393))) % 107.32/107.59 ) % 107.32/107.59 % SZS output end Proof % 107.32/107.59 % cvc5 exiting %------------------------------------------------------------------------------