%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : NUM861_1 : TPTP v9.2.1. Released v4.1.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % Computer : n029.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 109.63s 109.80s % Output : Proof 109.63s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : NUM861_1 : TPTP v9.2.1. Released v4.1.0. % 0.12/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.18/0.34 % Computer : n029.cluster.edu % 0.18/0.34 % Model : x86_64 x86_64 % 0.18/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.18/0.34 % Memory : 8042.1875MB % 0.18/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.18/0.34 % CPULimit : 300 % 0.18/0.34 % WCLimit : 300 % 0.18/0.34 % DateTime : Tue Jun 2 12:30:32 EDT 2026 % 0.18/0.34 % CPUTime : % 0.28/0.50 %----Proving TF0_ARI % 109.63/109.80 --- Run --finite-model-find --decision=internal at 45... % 109.63/109.80 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 60... % 109.63/109.80 --- Run --no-e-matching --full-saturate-quant at 45... % 109.63/109.80 --- Run --cegqi-all --purify-triggers --full-saturate-quant at 45... % 109.63/109.80 % SZS status Theorem % 109.63/109.80 % SZS output start Proof % 109.63/109.80 ( % 109.63/109.80 (declare-const tptp.minsol_model_ub (-> Int Int Int Bool)) % 109.63/109.80 (declare-const tptp.minsol_model_max (-> Int Int Int Bool)) % 109.63/109.80 (declare-const tptp.model_ub (-> Int Int Int Bool)) % 109.63/109.80 (declare-const tptp.model_max (-> Int Int Int Bool)) % 109.63/109.80 (declare-const tptp.c Int) % 109.63/109.80 (declare-const tptp.ub (-> Int Int Int Bool)) % 109.63/109.80 (declare-const tptp.max (-> Int Int Int)) % 109.63/109.80 (declare-const tptp.summation (-> Int Int)) % 109.63/109.80 (define @t1 () (@var "Y" Int)) % 109.63/109.80 (define @t2 () (@var "X" Int)) % 109.63/109.80 (define @t3 () (<= @t2 @t1)) % 109.63/109.80 (define @t4 () (@list @t2 @t1)) % 109.63/109.80 (define @t5 () (not (<= @t1 @t2))) % 109.63/109.80 (define @t6 () (tptp.max @t2 @t1)) % 109.63/109.80 (define @t7 () (= @t6 @t2)) % 109.63/109.80 (define @t8 () (or @t7 @t5)) % 109.63/109.80 (define @t9 () (forall @t4 @t8)) % 109.63/109.80 (define @t10 () (not @t3)) % 109.63/109.80 (define @t11 () (= @t6 @t1)) % 109.63/109.80 (define @t12 () (or @t11 @t10)) % 109.63/109.80 (define @t13 () (forall @t4 @t12)) % 109.63/109.80 (define @t14 () (@var "Z" Int)) % 109.63/109.80 (define @t15 () (and (<= @t2 @t14) (<= @t1 @t14))) % 109.63/109.80 (define @t16 () (tptp.ub @t2 @t1 @t14)) % 109.63/109.80 (define @t17 () (= @t16 @t15)) % 109.63/109.80 (define @t18 () (@list @t2 @t1 @t14)) % 109.63/109.80 (define @t19 () (forall @t18 @t17)) % 109.63/109.80 (define @t20 () (@var "N" Int)) % 109.63/109.80 (define @t21 () (+ tptp.c @t6)) % 109.63/109.80 (define @t22 () (tptp.model_max @t2 @t1 @t20)) % 109.63/109.80 (define @t23 () (= @t22 (<= @t21 @t20))) % 109.63/109.80 (define @t24 () (@list @t2 @t1 @t20)) % 109.63/109.80 (define @t25 () (forall @t24 @t23)) % 109.63/109.80 (define @t26 () (+ tptp.c @t14)) % 109.63/109.80 (define @t27 () (and @t16 (<= @t26 @t20))) % 109.63/109.80 (define @t28 () (@list @t14)) % 109.63/109.80 (define @t29 () (exists @t28 @t27)) % 109.63/109.80 (define @t30 () (tptp.model_ub @t2 @t1 @t20)) % 109.63/109.80 (define @t31 () (= @t30 @t29)) % 109.63/109.80 (define @t32 () (forall @t24 @t31)) % 109.63/109.80 (define @t33 () (<= @t20 @t14)) % 109.63/109.80 (define @t34 () (tptp.model_max @t2 @t1 @t14)) % 109.63/109.80 (define @t35 () (=> @t34 @t33)) % 109.63/109.80 (define @t36 () (forall @t28 @t35)) % 109.63/109.80 (define @t37 () (and @t22 @t36)) % 109.63/109.80 (define @t38 () (tptp.minsol_model_max @t2 @t1 @t20)) % 109.63/109.80 (define @t39 () (= @t38 @t37)) % 109.63/109.80 (define @t40 () (forall @t24 @t39)) % 109.63/109.80 (define @t41 () (tptp.model_ub @t2 @t1 @t14)) % 109.63/109.80 (define @t42 () (=> @t41 @t33)) % 109.63/109.80 (define @t43 () (forall @t28 @t42)) % 109.63/109.80 (define @t44 () (and @t30 @t43)) % 109.63/109.80 (define @t45 () (tptp.minsol_model_ub @t2 @t1 @t20)) % 109.63/109.80 (define @t46 () (= @t45 @t44)) % 109.63/109.80 (define @t47 () (forall @t24 @t46)) % 109.63/109.80 (define @t48 () (forall @t18 (= (tptp.minsol_model_ub @t2 @t1 @t14) (tptp.minsol_model_max @t2 @t1 @t14)))) % 109.63/109.80 (define @t49 () (* -1 @t20)) % 109.63/109.80 (define @t50 () (+ tptp.c @t14 @t49)) % 109.63/109.80 (define @t51 () (>= @t50 1)) % 109.63/109.80 (define @t52 () (not @t16)) % 109.63/109.80 (define @t53 () (not @t51)) % 109.63/109.80 (define @t54 () (and @t16 @t53)) % 109.63/109.80 (define @t55 () (forall @t28 (not @t54))) % 109.63/109.80 (define @t56 () (not @t55)) % 109.63/109.80 (define @t57 () (+ @t20 1)) % 109.63/109.80 (define @t58 () (>= @t26 @t57)) % 109.63/109.80 (define @t59 () (@quantifiers_skolemize @t48 2)) % 109.63/109.80 (define @t60 () (@quantifiers_skolemize @t48 1)) % 109.63/109.80 (define @t61 () (@quantifiers_skolemize @t48 0)) % 109.63/109.80 (define @t62 () (@list @t61 @t60 @t59)) % 109.63/109.80 (define @t63 () (* -1 @t14)) % 109.63/109.80 (define @t64 () (+ @t1 @t63)) % 109.63/109.80 (define @t65 () (+ @t14 1)) % 109.63/109.80 (define @t66 () (>= @t64 1)) % 109.63/109.80 (define @t67 () (>= @t1 @t65)) % 109.63/109.80 (define @t68 () (+ @t2 @t63)) % 109.63/109.80 (define @t69 () (>= @t68 1)) % 109.63/109.80 (define @t70 () (>= @t2 @t65)) % 109.63/109.80 (define @t71 () (* -1 @t59)) % 109.63/109.80 (define @t72 () (+ tptp.c @t60 @t71)) % 109.63/109.80 (define @t73 () (+ tptp.c @t71)) % 109.63/109.80 (define @t74 () (* -1 tptp.c)) % 109.63/109.80 (define @t75 () (+ @t74 @t59)) % 109.63/109.80 (define @t76 () (* -1 @t75)) % 109.63/109.80 (define @t77 () (+ @t60 @t76)) % 109.63/109.80 (define @t78 () (>= @t77 1)) % 109.63/109.80 (define @t79 () (not @t78)) % 109.63/109.80 (define @t80 () (+ tptp.c @t61 @t71)) % 109.63/109.80 (define @t81 () (+ @t61 @t76)) % 109.63/109.80 (define @t82 () (>= @t81 1)) % 109.63/109.80 (define @t83 () (not @t82)) % 109.63/109.80 (define @t84 () (and @t83 @t79)) % 109.63/109.80 (define @t85 () (tptp.ub @t61 @t60 @t75)) % 109.63/109.80 (define @t86 () (= @t85 @t84)) % 109.63/109.80 (define @t87 () (forall @t18 (= @t16 (and (not @t69) (not @t66))))) % 109.63/109.80 (define @t88 () (>= @t72 1)) % 109.63/109.80 (define @t89 () (not @t88)) % 109.63/109.80 (define @t90 () (>= @t80 1)) % 109.63/109.80 (define @t91 () (not @t90)) % 109.63/109.80 (define @t92 () (and @t91 @t89)) % 109.63/109.80 (define @t93 () (= @t85 @t92)) % 109.63/109.80 (define @t94 () (@list false)) % 109.63/109.80 (define @t95 () (@list @t87)) % 109.63/109.80 (define @t96 () (* -1 @t60)) % 109.63/109.80 (define @t97 () (+ @t61 @t96)) % 109.63/109.80 (define @t98 () (>= @t97 1)) % 109.63/109.80 (define @t99 () (>= @t97 0)) % 109.63/109.80 (define @t100 () (< @t97 0)) % 109.63/109.80 (define @t101 () (not @t100)) % 109.63/109.80 (define @t102 () (not true)) % 109.63/109.80 (define @t103 () (* -1 1)) % 109.63/109.80 (define @t104 () (+ 0 @t103)) % 109.63/109.80 (define @t105 () (+ 0 0)) % 109.63/109.80 (define @t106 () (* 0 @t61)) % 109.63/109.80 (define @t107 () (= @t106 0)) % 109.63/109.80 (define @t108 () (* 0 @t60)) % 109.63/109.80 (define @t109 () (= @t108 0)) % 109.63/109.80 (define @t110 () (+ @t108 @t106)) % 109.63/109.80 (define @t111 () (* -1 @t97)) % 109.63/109.80 (define @t112 () (+ @t97 @t111)) % 109.63/109.80 (define @t113 () (>= @t112 @t104)) % 109.63/109.80 (define @t114 () (< -1 0)) % 109.63/109.80 (define @t115 () (not @t98)) % 109.63/109.80 (define @t116 () (+ @t2 (* -1 @t1))) % 109.63/109.80 (define @t117 () (@list @t61 @t60)) % 109.63/109.80 (define @t118 () (not @t99)) % 109.63/109.80 (define @t119 () (tptp.max @t61 @t60)) % 109.63/109.80 (define @t120 () (= @t61 @t119)) % 109.63/109.80 (define @t121 () (or @t120 @t118)) % 109.63/109.80 (define @t122 () (* -1 @t119)) % 109.63/109.80 (define @t123 () (+ @t60 @t122)) % 109.63/109.80 (define @t124 () (>= @t123 0)) % 109.63/109.80 (define @t125 () (<= 0 -1)) % 109.63/109.80 (define @t126 () (* -1 0)) % 109.63/109.80 (define @t127 () (+ @t126 @t103 0)) % 109.63/109.80 (define @t128 () (* 0 @t119)) % 109.63/109.80 (define @t129 () (= @t128 0)) % 109.63/109.80 (define @t130 () (+ @t128 @t60 @t96 @t106)) % 109.63/109.80 (define @t131 () (+ @t61 @t122)) % 109.63/109.80 (define @t132 () (* -1 @t123)) % 109.63/109.80 (define @t133 () (+ @t132 @t111 @t131)) % 109.63/109.80 (define @t134 () (= (* 1 (- @t131 0)) (* 1 (- @t61 @t119)))) % 109.63/109.80 (define @t135 () (= @t131 0)) % 109.63/109.80 (define @t136 () (= @t135 @t120)) % 109.63/109.80 (define @t137 () (not @t120)) % 109.63/109.80 (define @t138 () (* 1 (- @t123 0))) % 109.63/109.80 (define @t139 () (* 1 (- @t60 @t119))) % 109.63/109.80 (define @t140 () (>= @t60 @t119)) % 109.63/109.80 (define @t141 () (+ @t119 1)) % 109.63/109.80 (define @t142 () (>= @t123 1)) % 109.63/109.80 (define @t143 () (>= @t60 @t141)) % 109.63/109.80 (define @t144 () (<= @t60 @t119)) % 109.63/109.80 (define @t145 () (not @t140)) % 109.63/109.80 (define @t146 () (not @t144)) % 109.63/109.80 (define @t147 () (>= 0 0)) % 109.63/109.80 (define @t148 () (+ @t122 @t119)) % 109.63/109.80 (define @t149 () (+ @t96 @t60)) % 109.63/109.80 (define @t150 () (>= @t149 @t148)) % 109.63/109.80 (define @t151 () (+ tptp.c @t49 @t6)) % 109.63/109.80 (define @t152 () (>= @t151 1)) % 109.63/109.80 (define @t153 () (>= @t21 @t57)) % 109.63/109.80 (define @t154 () (+ @t14 @t49)) % 109.63/109.80 (define @t155 () (>= @t154 0)) % 109.63/109.80 (define @t156 () (tptp.minsol_model_max @t61 @t60 @t59)) % 109.63/109.80 (define @t157 () (tptp.minsol_model_ub @t61 @t60 @t59)) % 109.63/109.80 (define @t158 () (= @t157 @t156)) % 109.63/109.80 (define @t159 () (>= (+ @t14 @t71) 0)) % 109.63/109.80 (define @t160 () (forall @t28 (or (not (tptp.model_ub @t61 @t60 @t14)) @t159))) % 109.63/109.80 (define @t161 () (tptp.model_ub @t61 @t60 @t59)) % 109.63/109.80 (define @t162 () (and @t161 @t160)) % 109.63/109.80 (define @t163 () (= @t157 @t162)) % 109.63/109.80 (define @t164 () (not @t163)) % 109.63/109.80 (define @t165 () (not @t157)) % 109.63/109.80 (define @t166 () (forall @t28 (or (not (tptp.model_max @t61 @t60 @t14)) @t159))) % 109.63/109.80 (define @t167 () (tptp.model_max @t61 @t60 @t59)) % 109.63/109.80 (define @t168 () (and @t167 @t166)) % 109.63/109.80 (define @t169 () (= @t156 @t168)) % 109.63/109.80 (define @t170 () (not @t169)) % 109.63/109.80 (define @t171 () (not @t168)) % 109.63/109.80 (define @t172 () (not @t162)) % 109.63/109.80 (define @t173 () (+ tptp.c @t14 @t71)) % 109.63/109.80 (define @t174 () (not (tptp.ub @t61 @t60 @t14))) % 109.63/109.80 (define @t175 () (forall @t28 (or @t174 (>= @t173 1)))) % 109.63/109.80 (define @t176 () (not @t175)) % 109.63/109.80 (define @t177 () (= @t161 @t176)) % 109.63/109.80 (define @t178 () (not @t177)) % 109.63/109.80 (define @t179 () (+ -1 @t59)) % 109.63/109.80 (define @t180 () (tptp.model_ub @t61 @t60 @t179)) % 109.63/109.80 (define @t181 () (not @t180)) % 109.63/109.80 (define @t182 () (+ @t71 @t59 -1)) % 109.63/109.80 (define @t183 () (+ @t179 @t71)) % 109.63/109.80 (define @t184 () (>= @t183 0)) % 109.63/109.80 (define @t185 () (or @t181 @t184)) % 109.63/109.80 (define @t186 () (@list @t179)) % 109.63/109.80 (define @t187 () (@quantifiers_skolemize @t175 0)) % 109.63/109.80 (define @t188 () (+ tptp.c @t71 @t187)) % 109.63/109.80 (define @t189 () (>= @t188 1)) % 109.63/109.80 (define @t190 () (tptp.ub @t61 @t60 @t187)) % 109.63/109.80 (define @t191 () (not @t190)) % 109.63/109.80 (define @t192 () (or @t191 @t189)) % 109.63/109.80 (define @t193 () (not @t192)) % 109.63/109.80 (define @t194 () (not @t176)) % 109.63/109.80 (define @t195 () (+ tptp.c @t187 @t71)) % 109.63/109.80 (define @t196 () (>= @t195 1)) % 109.63/109.80 (define @t197 () (or @t191 @t196)) % 109.63/109.80 (define @t198 () (not @t197)) % 109.63/109.80 (define @t199 () (+ 1 tptp.c @t14 @t71)) % 109.63/109.80 (define @t200 () (>= @t173 0)) % 109.63/109.80 (define @t201 () (+ 1 @t71)) % 109.63/109.80 (define @t202 () (* -1 @t179)) % 109.63/109.80 (define @t203 () (+ tptp.c @t14 @t202)) % 109.63/109.80 (define @t204 () (>= @t203 1)) % 109.63/109.80 (define @t205 () (or @t174 @t204)) % 109.63/109.80 (define @t206 () (forall @t28 @t205)) % 109.63/109.80 (define @t207 () (not @t206)) % 109.63/109.80 (define @t208 () (= @t180 @t207)) % 109.63/109.80 (define @t209 () (forall @t24 (= @t30 (not (forall @t28 (or @t52 @t51)))))) % 109.63/109.80 (define @t210 () (@list @t61 @t60 @t179)) % 109.63/109.80 (define @t211 () (forall @t28 (or @t174 @t200))) % 109.63/109.80 (define @t212 () (not @t211)) % 109.63/109.80 (define @t213 () (= @t180 @t212)) % 109.63/109.80 (define @t214 () (not @t213)) % 109.63/109.80 (define @t215 () (+ -1 @t74 @t59)) % 109.63/109.80 (define @t216 () (tptp.ub @t61 @t60 @t215)) % 109.63/109.80 (define @t217 () (not @t216)) % 109.63/109.80 (define @t218 () (+ @t74 @t71 @t59 tptp.c -1)) % 109.63/109.80 (define @t219 () (+ tptp.c @t215 @t71)) % 109.63/109.80 (define @t220 () (>= @t219 0)) % 109.63/109.80 (define @t221 () (or @t217 @t220)) % 109.63/109.80 (define @t222 () (* -1 @t187)) % 109.63/109.80 (define @t223 () (+ @t60 @t222)) % 109.63/109.80 (define @t224 () (>= @t223 1)) % 109.63/109.80 (define @t225 () (not @t224)) % 109.63/109.80 (define @t226 () (+ @t61 @t222)) % 109.63/109.80 (define @t227 () (>= @t226 1)) % 109.63/109.80 (define @t228 () (not @t227)) % 109.63/109.80 (define @t229 () (and @t228 @t225)) % 109.63/109.80 (define @t230 () (= @t190 @t229)) % 109.63/109.80 (define @t231 () (+ 1 tptp.c @t60 @t71)) % 109.63/109.80 (define @t232 () (>= @t72 0)) % 109.63/109.80 (define @t233 () (+ 1 tptp.c @t71)) % 109.63/109.80 (define @t234 () (* -1 @t215)) % 109.63/109.80 (define @t235 () (+ @t60 @t234)) % 109.63/109.80 (define @t236 () (>= @t235 1)) % 109.63/109.80 (define @t237 () (not @t236)) % 109.63/109.80 (define @t238 () (+ 1 tptp.c @t61 @t71)) % 109.63/109.80 (define @t239 () (>= @t80 0)) % 109.63/109.80 (define @t240 () (+ @t61 @t234)) % 109.63/109.80 (define @t241 () (>= @t240 1)) % 109.63/109.80 (define @t242 () (not @t241)) % 109.63/109.80 (define @t243 () (and @t242 @t237)) % 109.63/109.80 (define @t244 () (= @t216 @t243)) % 109.63/109.80 (define @t245 () (not @t232)) % 109.63/109.80 (define @t246 () (not @t239)) % 109.63/109.80 (define @t247 () (and @t246 @t245)) % 109.63/109.80 (define @t248 () (= @t216 @t247)) % 109.63/109.80 (define @t249 () (not @t229)) % 109.63/109.80 (define @t250 () (= @t60 @t119)) % 109.63/109.80 (define @t251 () (not @t250)) % 109.63/109.80 (define @t252 () (+ tptp.c @t71 @t119)) % 109.63/109.80 (define @t253 () (>= @t252 1)) % 109.63/109.80 (define @t254 () (not @t253)) % 109.63/109.80 (define @t255 () (not @t189)) % 109.63/109.80 (define @t256 () (not @t255)) % 109.63/109.80 (define @t257 () (= @t123 0)) % 109.63/109.80 (define @t258 () (+ 0 0 -1 1)) % 109.63/109.80 (define @t259 () (+ @t126 0 @t103 1)) % 109.63/109.80 (define @t260 () (= (+ @t119 @t222 @t187 @t122 0 0 0) 0)) % 109.63/109.80 (define @t261 () (* 0 tptp.c)) % 109.63/109.80 (define @t262 () (= @t261 0)) % 109.63/109.80 (define @t263 () (* 0 @t59)) % 109.63/109.80 (define @t264 () (= @t263 0)) % 109.63/109.80 (define @t265 () (+ @t119 @t222 @t187 @t122 @t263 @t108 @t261)) % 109.63/109.80 (define @t266 () (* -1 @t252)) % 109.63/109.80 (define @t267 () (+ @t132 @t188 @t266 @t223)) % 109.63/109.80 (define @t268 () (>= @t267 @t259)) % 109.63/109.80 (define @t269 () (= @t138 @t139)) % 109.63/109.80 (define @t270 () (= @t257 @t250)) % 109.63/109.80 (define @t271 () (and @t225 @t253 @t255 @t250)) % 109.63/109.80 (define @t272 () (>= @t116 1)) % 109.63/109.80 (define @t273 () (+ @t1 1)) % 109.63/109.80 (define @t274 () (>= @t2 @t273)) % 109.63/109.80 (define @t275 () (or @t250 @t98)) % 109.63/109.80 (define @t276 () (+ @t119 @t222 @t187 @t122 @t263 @t106 @t261)) % 109.63/109.80 (define @t277 () (* -1 @t131)) % 109.63/109.80 (define @t278 () (+ @t277 @t188 @t266 @t226)) % 109.63/109.80 (define @t279 () (>= @t278 @t259)) % 109.63/109.80 (define @t280 () (and @t228 @t253 @t255 @t120)) % 109.63/109.80 (define @t281 () (= @t167 @t254)) % 109.63/109.80 (define @t282 () (not @t281)) % 109.63/109.80 (define @t283 () (not @t254)) % 109.63/109.80 (define @t284 () (@quantifiers_skolemize @t166 0)) % 109.63/109.80 (define @t285 () (* -1 @t284)) % 109.63/109.80 (define @t286 () (+ @t59 @t285)) % 109.63/109.80 (define @t287 () (>= @t286 1)) % 109.63/109.80 (define @t288 () (not @t287)) % 109.63/109.80 (define @t289 () (tptp.model_max @t61 @t60 @t284)) % 109.63/109.80 (define @t290 () (not @t289)) % 109.63/109.80 (define @t291 () (or @t290 @t288)) % 109.63/109.80 (define @t292 () (not @t291)) % 109.63/109.80 (define @t293 () (not @t166)) % 109.63/109.80 (define @t294 () (+ @t71 @t284)) % 109.63/109.80 (define @t295 () (+ @t286 1)) % 109.63/109.80 (define @t296 () (+ @t284 @t71)) % 109.63/109.80 (define @t297 () (>= @t296 0)) % 109.63/109.80 (define @t298 () (or @t290 @t297)) % 109.63/109.80 (define @t299 () (not @t298)) % 109.63/109.80 (define @t300 () (+ tptp.c @t285 @t119)) % 109.63/109.80 (define @t301 () (>= @t300 1)) % 109.63/109.80 (define @t302 () (not @t301)) % 109.63/109.80 (define @t303 () (= @t289 @t302)) % 109.63/109.80 (define @t304 () (not @t302)) % 109.63/109.80 (define @t305 () (< @t300 1)) % 109.63/109.80 (define @t306 () (+ 1 @t103 0 @t126)) % 109.63/109.80 (define @t307 () (= (+ 0 @t122 @t119 @t59 @t71 0 0) 0)) % 109.63/109.80 (define @t308 () (* 0 @t284)) % 109.63/109.80 (define @t309 () (= @t308 0)) % 109.63/109.80 (define @t310 () (+ @t308 @t122 @t119 @t59 @t71 @t108 @t261)) % 109.63/109.80 (define @t311 () (* -1 @t72)) % 109.63/109.80 (define @t312 () (* -1 @t286)) % 109.63/109.80 (define @t313 () (+ @t300 @t312 @t123 @t311)) % 109.63/109.80 (define @t314 () (>= @t313 @t306)) % 109.63/109.80 (define @t315 () (and @t232 @t250 @t287 @t302)) % 109.63/109.80 (define @t316 () (not @t245)) % 109.63/109.80 (define @t317 () (not @t118)) % 109.63/109.80 (define @t318 () (+ 0 0 @t126)) % 109.63/109.80 (define @t319 () (+ @t263 @t96 @t60 @t106 @t261)) % 109.63/109.80 (define @t320 () (* -1 @t80)) % 109.63/109.80 (define @t321 () (+ @t97 @t72 @t320)) % 109.63/109.80 (define @t322 () (>= @t321 @t318)) % 109.63/109.80 (define @t323 () (and @t239 @t245 @t118)) % 109.63/109.80 (define @t324 () (+ @t126 1 @t103 0)) % 109.63/109.80 (define @t325 () (+ @t308 @t122 @t119 @t59 @t71 @t106 @t261)) % 109.63/109.80 (define @t326 () (+ @t320 @t300 @t312 @t131)) % 109.63/109.80 (define @t327 () (>= @t326 @t324)) % 109.63/109.80 (define @t328 () (+ @t126 @t103 1 0 @t126)) % 109.63/109.80 (define @t329 () (+ @t308 @t122 @t119 @t59 @t60 @t71 @t96 @t106 @t261)) % 109.63/109.80 (define @t330 () (+ @t311 @t312 @t300 @t131 @t111)) % 109.63/109.80 (define @t331 () (>= @t330 @t328)) % 109.63/109.80 (define @t332 () (and @t99 @t120 @t302 @t287 @t232)) % 109.63/109.80 (define @t333 () (@list false false)) % 109.63/109.80 (define @t334 () (@list @t168)) % 109.63/109.80 (define @t335 () (not @t142)) % 109.63/109.80 (define @t336 () (not @t335)) % 109.63/109.80 (define @t337 () (+ 0 1)) % 109.63/109.80 (define @t338 () (>= @t252 @t337)) % 109.63/109.80 (define @t339 () (<= @t252 0)) % 109.63/109.80 (define @t340 () (+ 0 1 -1)) % 109.63/109.80 (define @t341 () (+ 0 1 @t103)) % 109.63/109.80 (define @t342 () (= (+ @t122 @t119 0 0 0) 0)) % 109.63/109.80 (define @t343 () (+ @t122 @t119 @t263 @t108 @t261)) % 109.63/109.80 (define @t344 () (+ @t252 @t123 @t311)) % 109.63/109.80 (define @t345 () (>= @t344 @t341)) % 109.63/109.80 (define @t346 () (and @t88 @t335 @t254)) % 109.63/109.80 (define @t347 () (+ @t122 @t119 @t263 @t106 @t261)) % 109.63/109.80 (define @t348 () (+ @t131 @t252 @t320)) % 109.63/109.80 (define @t349 () (>= @t348 @t341)) % 109.63/109.80 (define @t350 () (and @t90 @t254 @t120)) % 109.63/109.80 (define @t351 () (+ @t103 0)) % 109.63/109.80 (define @t352 () (+ @t128 @t108)) % 109.63/109.80 (define @t353 () (+ @t132 @t123)) % 109.63/109.80 (define @t354 () (+ -1 1)) % 109.63/109.80 (define @t355 () (>= @t97 @t354)) % 109.63/109.80 (define @t356 () (<= @t97 -1)) % 109.63/109.80 (define @t357 () (+ -1 1 @t103 1)) % 109.63/109.80 (define @t358 () (+ @t122 @t119 @t263 @t96 @t60 @t106 @t261)) % 109.63/109.80 (define @t359 () (+ @t97 @t252 @t320 @t123)) % 109.63/109.80 (define @t360 () (>= @t359 @t357)) % 109.63/109.80 (define @t361 () (and @t335 @t90 @t254 @t118)) % 109.63/109.80 (define @t362 () (not @t85)) % 109.63/109.80 (define @t363 () (+ @t74 @t71 @t59 tptp.c)) % 109.63/109.80 (define @t364 () (+ tptp.c @t75 @t71)) % 109.63/109.80 (define @t365 () (>= @t364 1)) % 109.63/109.80 (define @t366 () (or @t362 @t365)) % 109.63/109.80 (define @t367 () (@list true false)) % 109.63/109.80 (define @t368 () (not @t160)) % 109.63/109.80 (define @t369 () (@quantifiers_skolemize @t160 0)) % 109.63/109.80 (define @t370 () (* -1 @t369)) % 109.63/109.80 (define @t371 () (+ @t59 @t370)) % 109.63/109.80 (define @t372 () (>= @t371 1)) % 109.63/109.80 (define @t373 () (not @t372)) % 109.63/109.80 (define @t374 () (tptp.model_ub @t61 @t60 @t369)) % 109.63/109.80 (define @t375 () (not @t374)) % 109.63/109.80 (define @t376 () (or @t375 @t373)) % 109.63/109.80 (define @t377 () (not @t376)) % 109.63/109.80 (define @t378 () (+ @t71 @t369)) % 109.63/109.80 (define @t379 () (+ @t371 1)) % 109.63/109.80 (define @t380 () (+ @t369 @t71)) % 109.63/109.80 (define @t381 () (>= @t380 0)) % 109.63/109.80 (define @t382 () (or @t375 @t381)) % 109.63/109.80 (define @t383 () (not @t382)) % 109.63/109.80 (define @t384 () (@list true)) % 109.63/109.80 (define @t385 () (forall @t28 (or @t174 (>= (+ tptp.c @t14 @t370) 1)))) % 109.63/109.80 (define @t386 () (not @t385)) % 109.63/109.80 (define @t387 () (= @t374 @t386)) % 109.63/109.80 (define @t388 () (@quantifiers_skolemize @t385 0)) % 109.63/109.80 (define @t389 () (+ tptp.c @t370 @t388)) % 109.63/109.80 (define @t390 () (>= @t389 1)) % 109.63/109.80 (define @t391 () (tptp.ub @t61 @t60 @t388)) % 109.63/109.80 (define @t392 () (not @t391)) % 109.63/109.80 (define @t393 () (or @t392 @t390)) % 109.63/109.80 (define @t394 () (not @t393)) % 109.63/109.80 (define @t395 () (+ tptp.c @t388 @t370)) % 109.63/109.80 (define @t396 () (>= @t395 1)) % 109.63/109.80 (define @t397 () (or @t392 @t396)) % 109.63/109.80 (define @t398 () (not @t397)) % 109.63/109.80 (define @t399 () (not @t392)) % 109.63/109.80 (define @t400 () (+ tptp.c @t71 @t388)) % 109.63/109.80 (define @t401 () (>= @t400 0)) % 109.63/109.80 (define @t402 () (or @t392 @t401)) % 109.63/109.80 (define @t403 () (not @t402)) % 109.63/109.80 (define @t404 () (not @t401)) % 109.63/109.80 (define @t405 () (not @t390)) % 109.63/109.80 (define @t406 () (+ @t126 1 @t103)) % 109.63/109.80 (define @t407 () (* 0 @t369)) % 109.63/109.80 (define @t408 () (* 0 @t388)) % 109.63/109.80 (define @t409 () (+ @t408 @t407 @t59 @t71 @t261)) % 109.63/109.80 (define @t410 () (+ (* -1 @t400) @t389 (* -1 @t371))) % 109.63/109.80 (define @t411 () (>= @t410 @t406)) % 109.63/109.80 (define @t412 () (@list @t402)) % 109.63/109.80 (define @t413 () (* -1 @t388)) % 109.63/109.80 (define @t414 () (+ @t60 @t413)) % 109.63/109.80 (define @t415 () (>= @t414 1)) % 109.63/109.80 (define @t416 () (not @t415)) % 109.63/109.80 (define @t417 () (+ @t61 @t413)) % 109.63/109.80 (define @t418 () (>= @t417 1)) % 109.63/109.80 (define @t419 () (not @t418)) % 109.63/109.80 (define @t420 () (and @t419 @t416)) % 109.63/109.80 (define @t421 () (= @t391 @t420)) % 109.63/109.80 (define @t422 () (not @t420)) % 109.63/109.80 (define @t423 () (@list @t420)) % 109.63/109.80 (define @t424 () (+ 1 tptp.c @t71 @t119)) % 109.63/109.80 (define @t425 () (>= @t252 0)) % 109.63/109.80 (define @t426 () (+ tptp.c @t202 @t119)) % 109.63/109.80 (define @t427 () (>= @t426 1)) % 109.63/109.80 (define @t428 () (not @t427)) % 109.63/109.80 (define @t429 () (tptp.model_max @t61 @t60 @t179)) % 109.63/109.80 (define @t430 () (= @t429 @t428)) % 109.63/109.80 (define @t431 () (forall @t24 (= @t22 (not @t152)))) % 109.63/109.80 (define @t432 () (not @t425)) % 109.63/109.80 (define @t433 () (= @t429 @t432)) % 109.63/109.80 (define @t434 () (not @t429)) % 109.63/109.80 (define @t435 () (or @t434 @t184)) % 109.63/109.80 (define @t436 () (not @t433)) % 109.63/109.80 (define @t437 () (not @t404)) % 109.63/109.80 (define @t438 () (>= @t414 @t337)) % 109.63/109.80 (define @t439 () (<= @t414 0)) % 109.63/109.80 (define @t440 () (+ 0 0 0 0)) % 109.63/109.80 (define @t441 () (+ 0 @t126 0 @t126)) % 109.63/109.80 (define @t442 () (= (+ @t413 @t388 @t119 @t122 0 0 0) 0)) % 109.63/109.80 (define @t443 () (+ @t413 @t388 @t119 @t122 @t263 @t108 @t261)) % 109.63/109.80 (define @t444 () (+ @t414 @t132 @t400 @t266)) % 109.63/109.80 (define @t445 () (>= @t444 @t441)) % 109.63/109.80 (define @t446 () (and @t425 @t404 @t250 @t416)) % 109.63/109.80 (define @t447 () (>= @t417 @t337)) % 109.63/109.80 (define @t448 () (<= @t417 0)) % 109.63/109.80 (define @t449 () (+ @t413 @t388 @t119 @t122 @t263 @t106 @t261)) % 109.63/109.80 (define @t450 () (+ @t417 @t266 @t400 @t277)) % 109.63/109.80 (define @t451 () (>= @t450 @t441)) % 109.63/109.80 (define @t452 () (and @t120 @t404 @t425 @t419)) % 109.63/109.80 (assume @p1 (forall @t4 (= @t3 (<= (tptp.summation @t2) (tptp.summation @t1))))) % 109.63/109.80 (assume @p2 @t9) % 109.63/109.80 (assume @p3 @t13) % 109.63/109.80 (assume @p4 @t19) % 109.63/109.80 (assume @p5 @t25) % 109.63/109.80 (assume @p6 @t32) % 109.63/109.80 (assume @p7 @t40) % 109.63/109.80 (assume @p8 @t47) % 109.63/109.80 (assume @p9 (not @t48)) % 109.63/109.80 (assume @p10 true) % 109.63/109.80 (step @p11 :rule bool-double-not-elim :args (@t51)) % 109.63/109.80 (step @p12 :rule refl :args (@t52)) % 109.63/109.80 (step @p13 :rule nary_cong :premises (@p12 @p11) :args ((or @t52 (not @t53)))) % 109.63/109.80 (step @p14 :rule bool-and-de-morgan :args (@t16 @t53 true)) % 109.63/109.80 (step @p15 :rule trans :premises (@p14 @p13)) % 109.63/109.80 (step @p16 :rule cong :premises (@p15) :args (@t55)) % 109.63/109.80 (step @p17 :rule cong :premises (@p16) :args (@t56)) % 109.63/109.80 (step @p18 :rule exists-elim :args ((= (exists @t28 @t54) @t56))) % 109.63/109.80 (step @p19 :rule trans :premises (@p18 @p17)) % 109.63/109.80 (step @p20 :rule arith_poly_norm :args ((= (* -1 (- @t26 @t57)) (* -1 (- @t50 1))))) % 109.63/109.80 (step @p21 :rule arith_poly_norm_rel :premises (@p20) :args ((= @t58 @t51))) % 109.63/109.80 (step @p22 :rule cong :premises (@p21) :args ((not @t58))) % 109.63/109.80 (step @p23 :rule arith-leq-norm :args (@t26 @t20)) % 109.63/109.80 (step @p24 :rule trans :premises (@p23 @p22)) % 109.63/109.80 (step @p25 :rule refl :args (@t16)) % 109.63/109.80 (step @p26 :rule nary_cong :premises (@p25 @p24) :args (@t27)) % 109.63/109.80 (step @p27 :rule cong :premises (@p26) :args (@t29)) % 109.63/109.80 (step @p28 :rule trans :premises (@p27 @p19)) % 109.63/109.80 (step @p29 :rule refl :args (@t30)) % 109.63/109.80 (step @p30 :rule cong :premises (@p29 @p28) :args (@t31)) % 109.63/109.80 (step @p31 :rule cong :premises (@p30) :args (@t32)) % 109.63/109.80 (step @p32 :rule eq_resolve :premises (@p6 @p31)) % 109.63/109.80 (step @p33 :rule instantiate :premises (@p32) :args (@t62)) % 109.63/109.80 (step @p34 :rule arith_poly_norm :args ((= (* -1 (- @t1 @t65)) (* -1 (- @t64 1))))) % 109.63/109.80 (step @p35 :rule arith_poly_norm_rel :premises (@p34) :args ((= @t67 @t66))) % 109.63/109.80 (step @p36 :rule cong :premises (@p35) :args ((not @t67))) % 109.63/109.80 (step @p37 :rule arith-leq-norm :args (@t1 @t14)) % 109.63/109.80 (step @p38 :rule trans :premises (@p37 @p36)) % 109.63/109.80 (step @p39 :rule arith_poly_norm :args ((= (* -1 (- @t2 @t65)) (* -1 (- @t68 1))))) % 109.63/109.80 (step @p40 :rule arith_poly_norm_rel :premises (@p39) :args ((= @t70 @t69))) % 109.63/109.80 (step @p41 :rule cong :premises (@p40) :args ((not @t70))) % 109.63/109.80 (step @p42 :rule arith-leq-norm :args (@t2 @t14)) % 109.63/109.80 (step @p43 :rule trans :premises (@p42 @p41)) % 109.63/109.80 (step @p44 :rule nary_cong :premises (@p43 @p38) :args (@t15)) % 109.63/109.80 (step @p45 :rule cong :premises (@p25 @p44) :args (@t17)) % 109.63/109.80 (step @p46 :rule cong :premises (@p45) :args (@t19)) % 109.63/109.80 (step @p47 :rule eq_resolve :premises (@p4 @p46)) % 109.63/109.80 (step @p48 :rule refl :args (1)) % 109.63/109.80 (step @p49 :rule arith_poly_norm :args ((= (+ @t60 @t73) @t72))) % 109.63/109.80 (step @p50 :rule arith_poly_norm :args ((= @t76 @t73))) % 109.63/109.80 (step @p51 :rule refl :args (@t60)) % 109.63/109.80 (step @p52 :rule nary_cong :premises (@p51 @p50) :args (@t77)) % 109.63/109.80 (step @p53 :rule trans :premises (@p52 @p49)) % 109.63/109.80 (step @p54 :rule cong :premises (@p53 @p48) :args (@t78)) % 109.63/109.80 (step @p55 :rule cong :premises (@p54) :args (@t79)) % 109.63/109.80 (step @p56 :rule arith_poly_norm :args ((= (+ @t61 @t73) @t80))) % 109.63/109.80 (step @p57 :rule refl :args (@t61)) % 109.63/109.80 (step @p58 :rule nary_cong :premises (@p57 @p50) :args (@t81)) % 109.63/109.80 (step @p59 :rule trans :premises (@p58 @p56)) % 109.63/109.80 (step @p60 :rule cong :premises (@p59 @p48) :args (@t82)) % 109.63/109.80 (step @p61 :rule cong :premises (@p60) :args (@t83)) % 109.63/109.80 (step @p62 :rule nary_cong :premises (@p61 @p55) :args (@t84)) % 109.63/109.80 (step @p63 :rule refl :args (@t85)) % 109.63/109.80 (step @p64 :rule cong :premises (@p63 @p62) :args (@t86)) % 109.63/109.80 (step @p65 :rule refl :args (@t87)) % 109.63/109.80 (step @p66 :rule cong :premises (@p65 @p64) :args ((=> @t87 @t86))) % 109.63/109.80 (assume-push @p1399 @t87) % 109.63/109.80 (step @p68 :rule instantiate :premises (@p47) :args ((@list @t61 @t60 @t75))) % 109.63/109.80 (step-pop @p1400 :rule scope :premises (@p68)) % 109.63/109.80 (step @p69 :rule process_scope :premises (@p1400) :args (@t86)) % 109.63/109.80 (step @p71 :rule eq_resolve :premises (@p69 @p66)) % 109.63/109.80 (step @p72 :rule implies_elim :premises (@p71)) % 109.63/109.80 (step @p73 :rule chain_m_resolution :premises (@p72 @p47) :args (@t93 @t94 @t95)) % 109.63/109.80 (assume-push @p1401 @t98) % 109.63/109.80 (assume-push @p1402 @t98) % 109.63/109.80 (step @p76 :rule bool-double-not-elim :args (@t99)) % 109.63/109.80 (step @p77 :rule arith-elim-lt :args (@t97 0)) % 109.63/109.80 (step @p78 :rule cong :premises (@p77) :args (@t101)) % 109.63/109.80 (step @p79 :rule trans :premises (@p78 @p76)) % 109.63/109.80 (assume-push @p1403 @t100) % 109.63/109.80 (step @p81 :rule evaluate :args (@t102)) % 109.63/109.80 (step @p82 :rule evaluate :args ((>= 0 -1))) % 109.63/109.80 (step @p83 :rule evaluate :args ((+ 0 -1))) % 109.63/109.80 (step @p84 :rule evaluate :args (@t103)) % 109.63/109.80 (step @p85 :rule refl :args (0)) % 109.63/109.80 (step @p86 :rule nary_cong :premises (@p85 @p84) :args (@t104)) % 109.63/109.80 (step @p87 :rule trans :premises (@p86 @p83)) % 109.63/109.80 (step @p88 :rule evaluate :args (@t105)) % 109.63/109.80 (step @p89 :rule arith_poly_norm :args (@t107)) % 109.63/109.80 (step @p90 :rule arith_poly_norm :args (@t109)) % 109.63/109.80 (step @p91 :rule nary_cong :premises (@p90 @p89) :args (@t110)) % 109.63/109.80 (step @p92 :rule trans :premises (@p91 @p88)) % 109.63/109.80 (step @p93 :rule arith_poly_norm :args ((= @t112 @t110))) % 109.63/109.80 (step @p94 :rule trans :premises (@p93 @p92)) % 109.63/109.80 (step @p95 :rule cong :premises (@p94 @p87) :args (@t113)) % 109.63/109.80 (step @p96 :rule trans :premises (@p95 @p82)) % 109.63/109.80 (step @p97 :rule cong :premises (@p96) :args ((not @t113))) % 109.63/109.80 (step @p98 :rule trans :premises (@p97 @p81)) % 109.63/109.80 (step @p99 :rule arith-elim-lt :args (@t112 @t104)) % 109.63/109.80 (step @p100 :rule trans :premises (@p99 @p98)) % 109.63/109.80 (step @p101 :rule arith_mult_neg :args (-1 @t98)) % 109.63/109.80 (step @p102 :rule evaluate :args (@t114)) % 109.63/109.80 (step @p103 :rule true_elim :premises (@p102)) % 109.63/109.80 (step @p104 :rule and_intro :premises (@p103 @p1401)) % 109.63/109.80 (step @p105 :rule modus_ponens :premises (@p104 @p101)) % 109.63/109.80 (step @p106 :rule arith_sum_ub :premises (@p1403 @p105)) % 109.63/109.80 (step @p107 false :rule eq_resolve :premises (@p106 @p100)) % 109.63/109.80 (step-pop @p1404 :rule scope :premises (@p107)) % 109.63/109.80 (step @p108 :rule process_scope :premises (@p1404) :args (false)) % 109.63/109.80 (step @p110 :rule eq_resolve :premises (@p108 @p79)) % 109.63/109.80 (step-pop @p1405 :rule scope :premises (@p110)) % 109.63/109.80 (step @p111 :rule process_scope :premises (@p1405) :args (@t99)) % 109.63/109.80 (step @p113 :rule modus_ponens :premises (@p1401 @p111)) % 109.63/109.80 (step-pop @p1406 :rule scope :premises (@p113)) % 109.63/109.80 (step @p114 :rule process_scope :premises (@p1406) :args (@t99)) % 109.63/109.80 (step @p116 :rule implies_elim :premises (@p114)) % 109.63/109.80 (step @p117 :rule reordering :premises (@p116) :args ((or @t99 @t115))) % 109.63/109.80 (step @p118 :rule arith_poly_norm :args ((= (* 1 (- @t2 @t1)) (* 1 (- @t116 0))))) % 109.63/109.80 (step 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(@p1324 @p1252)) % 109.63/109.81 (step @p1326 :rule chain_m_resolution :premises (@p1325 @p1248 @p1190 @p1245) :args (@t251 (@list true true false) (@list @t415 @t401 @t425))) % 109.63/109.81 (step @p1327 :rule chain_m_resolution :premises (@p484 @p1326 @p482) :args (@t98 @t367 (@list @t250 @t275))) % 109.63/109.81 (step @p1328 :rule chain_m_resolution :premises (@p117 @p1327) :args (@t99 @t94 (@list @t98))) % 109.63/109.81 (step @p1329 :rule chain_m_resolution :premises (@p130 @p1328 @p128) :args (@t120 @t333 (@list @t99 @t121))) % 109.63/109.81 (step @p1330 :rule bool-double-not-elim :args (@t418)) % 109.63/109.81 (step @p1331 :rule nary_cong :premises (@p486 @p1330 @p1250 @p1249) :args ((or @t137 (not @t419) @t437 @t432))) % 109.63/109.81 (assume-push @p1617 @t120) % 109.63/109.81 (assume-push @p1618 @t404) % 109.63/109.81 (assume-push @p1619 @t425) % 109.63/109.81 (assume-push @p1620 @t419) % 109.63/109.81 (step @p1336 :rule arith-elim-leq :args (@t417 0)) % 109.63/109.81 (step @p1337 :rule symm :premises (@p1336)) % 109.63/109.81 (step @p1338 :rule cong :premises (@p1337) :args ((not (>= 0 @t417)))) % 109.63/109.81 (step @p1339 :rule arith-elim-gt :args (@t417 0)) % 109.63/109.81 (step @p1340 :rule trans :premises (@p1339 @p1338)) % 109.63/109.81 (step @p835 :rule evaluate :args (@t337)) % 109.63/109.81 (step @p1341 :rule refl :args (@t417)) % 109.63/109.81 (step @p1342 :rule cong :premises (@p1341 @p835) :args (@t447)) % 109.63/109.81 (step @p1343 :rule cong :premises (@p1342) :args ((not @t447))) % 109.63/109.81 (step @p1344 :rule arith-leq-norm :args (@t417 0)) % 109.63/109.81 (step @p1345 :rule trans :premises (@p1344 @p1343)) % 109.63/109.81 (step @p1346 :rule cong :premises (@p1345) :args ((not @t448))) % 109.63/109.81 (step @p1347 :rule trans :premises (@p1346 @p1330)) % 109.63/109.81 (step @p1348 :rule trans :premises (@p1340 @p1347)) % 109.63/109.81 (step @p1349 :rule symm :premises (@p1348)) % 109.63/109.81 (step @p1350 :rule trans :premises (@p1347 @p1349)) % 109.63/109.81 (assume-push @p1621 @t448) % 109.63/109.81 (step @p81 :rule evaluate :args (@t102)) % 109.63/109.81 (step @p182 :rule evaluate :args (@t147)) % 109.63/109.81 (step @p1273 :rule evaluate :args (@t440)) % 109.63/109.81 (step @p136 :rule evaluate :args (@t126)) % 109.63/109.81 (step @p1274 :rule nary_cong :premises (@p85 @p136 @p85 @p136) :args (@t441)) % 109.63/109.81 (step @p1275 :rule trans :premises (@p1274 @p1273)) % 109.63/109.81 (step @p1276 :rule arith_poly_norm :args (@t442)) % 109.63/109.81 (step @p411 :rule arith_poly_norm :args (@t262)) % 109.63/109.81 (step @p89 :rule arith_poly_norm :args (@t107)) % 109.63/109.81 (step @p412 :rule arith_poly_norm :args (@t264)) % 109.63/109.81 (step @p413 :rule refl :args (@t122)) % 109.63/109.81 (step @p1277 :rule refl :args (@t388)) % 109.63/109.81 (step @p1278 :rule refl :args (@t413)) % 109.63/109.81 (step @p1352 :rule nary_cong :premises (@p1278 @p1277 @p416 @p413 @p412 @p89 @p411) :args (@t449)) % 109.63/109.81 (step @p1353 :rule trans :premises (@p1352 @p1276)) % 109.63/109.81 (step @p1354 :rule arith_poly_norm :args ((= @t450 @t449))) % 109.63/109.81 (step @p1355 :rule trans :premises (@p1354 @p1353)) % 109.63/109.81 (step @p1356 :rule cong :premises (@p1355 @p1275) :args (@t451)) % 109.63/109.81 (step @p1357 :rule trans :premises (@p1356 @p182)) % 109.63/109.81 (step @p1358 :rule cong :premises (@p1357) :args ((not @t451))) % 109.63/109.81 (step @p1359 :rule trans :premises (@p1358 @p81)) % 109.63/109.81 (step @p1360 :rule arith-elim-lt :args (@t450 @t441)) % 109.63/109.81 (step @p1361 :rule trans :premises (@p1360 @p1359)) % 109.63/109.81 (step @p510 :rule arith_mult_neg :args (-1 @t135)) % 109.63/109.81 (step @p148 :rule arith_poly_norm :args (@t134)) % 109.63/109.81 (step @p149 :rule arith_poly_norm_rel :premises (@p148) :args (@t136)) % 109.63/109.81 (step @p150 :rule symm :premises (@p149)) % 109.63/109.81 (step @p1362 :rule eq_resolve :premises (@p1617 @p150)) % 109.63/109.81 (step @p102 :rule evaluate :args (@t114)) % 109.63/109.81 (step @p103 :rule true_elim :premises (@p102)) % 109.63/109.81 (step @p1363 :rule and_intro :premises (@p103 @p1362)) % 109.63/109.81 (step @p1364 :rule modus_ponens :premises (@p1363 @p510)) % 109.63/109.81 (step @p1147 :rule arith-elim-lt :args (@t400 0)) % 109.63/109.81 (step @p1148 :rule symm :premises (@p1147)) % 109.63/109.81 (step @p1365 :rule eq_resolve :premises (@p1618 @p1148)) % 109.63/109.81 (step @p1289 :rule arith_mult_neg :args (-1 @t425)) % 109.63/109.81 (step @p1366 :rule and_intro :premises (@p103 @p1619)) % 109.63/109.81 (step @p1367 :rule modus_ponens :premises (@p1366 @p1289)) % 109.63/109.81 (step @p1368 :rule arith_sum_ub :premises (@p1621 @p1367 @p1365 @p1364)) % 109.63/109.81 (step @p1369 false :rule eq_resolve :premises (@p1368 @p1361)) % 109.63/109.81 (step-pop @p1622 :rule scope :premises (@p1369)) % 109.63/109.81 (step @p1370 :rule process_scope :premises (@p1622) :args (false)) % 109.63/109.81 (step @p1372 :rule eq_resolve :premises (@p1370 @p1350)) % 109.63/109.81 (step @p1373 :rule eq_resolve :premises (@p1372 @p1340)) % 109.63/109.81 (step @p1374 :rule arith-elim-lt :args (@t417 1)) % 109.63/109.81 (step @p1375 :rule symm :premises (@p1374)) % 109.63/109.81 (step @p1376 :rule eq_resolve :premises (@p1620 @p1375)) % 109.63/109.81 (step @p1377 :rule int_tight_ub :premises (@p1376)) % 109.63/109.81 (step @p1378 false :rule contra :premises (@p1377 @p1373)) % 109.63/109.81 (step-pop @p1623 :rule scope :premises (@p1378)) % 109.63/109.81 (step-pop @p1624 :rule scope :premises (@p1623)) % 109.63/109.81 (step-pop @p1625 :rule scope :premises (@p1624)) % 109.63/109.81 (step-pop @p1626 :rule scope :premises (@p1625)) % 109.63/109.81 (step @p1379 :rule process_scope :premises (@p1626) :args (false)) % 109.63/109.81 (assume-push @p1627 @t120) % 109.63/109.81 (assume-push @p1628 @t419) % 109.63/109.81 (assume-push @p1629 @t404) % 109.63/109.81 (assume-push @p1630 @t425) % 109.63/109.81 (step @p1388 :rule and_intro :premises (@p1627 @p1629 @p1630 @p1628)) % 109.63/109.81 (step-pop @p1631 :rule scope :premises (@p1388)) % 109.63/109.81 (step-pop @p1632 :rule scope :premises (@p1631)) % 109.63/109.81 (step-pop @p1633 :rule scope :premises (@p1632)) % 109.63/109.81 (step-pop @p1634 :rule scope :premises (@p1633)) % 109.63/109.81 (step @p1389 :rule process_scope :premises (@p1634) :args (@t452)) % 109.63/109.81 (step @p1394 :rule implies_elim :premises (@p1389)) % 109.63/109.81 (step @p1395 :rule resolution :premises (@p1394 @p1379) :args (true @t452)) % 109.63/109.81 (step @p1396 :rule not_and :premises (@p1395)) % 109.63/109.81 (step @p1397 :rule eq_resolve :premises (@p1396 @p1331)) % 109.63/109.81 (step @p1398 false :rule chain_m_resolution :premises (@p1397 @p1329 @p1245 @p1203 @p1190) :args (false (@list false false true true) (@list @t120 @t425 @t418 @t401))) % 109.63/109.81 ) % 109.63/109.81 % SZS output end Proof % 109.63/109.81 % cvc5 exiting %------------------------------------------------------------------------------