%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SWC448_1 : TPTP v9.2.1. Released v9.0.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % Computer : n019.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 08:59:18 AM UTC 2026 % Result : Theorem 0.44s 0.69s % Output : Proof 0.44s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SWC448_1 : TPTP v9.2.1. Released v9.0.0. % 0.12/0.14 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.16/0.34 % Computer : n019.cluster.edu % 0.16/0.34 % Model : x86_64 x86_64 % 0.16/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.16/0.34 % Memory : 8042.1875MB % 0.16/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.16/0.34 % CPULimit : 300 % 0.16/0.34 % WCLimit : 300 % 0.16/0.34 % DateTime : Tue Jun 2 19:47:49 EDT 2026 % 0.16/0.35 % CPUTime : % 0.32/0.50 %----Proving TF0_ARI % 0.44/0.69 --- Run --finite-model-find --decision=internal at 45... % 0.44/0.69 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 60... % 0.44/0.69 % SZS status Theorem % 0.44/0.69 % SZS output start Proof % 0.44/0.69 ( % 0.44/0.69 (declare-const tptp.fast (-> Int Int)) % 0.44/0.69 (declare-const tptp.small (-> Int Int)) % 0.44/0.69 (declare-const tptp.v0 (-> Int Int)) % 0.44/0.69 (declare-const tptp.u0 (-> Int Int Int)) % 0.44/0.69 (declare-const tptp.h0 (-> Int Int)) % 0.44/0.69 (declare-const tptp.g0 Int) % 0.44/0.69 (declare-const tptp.f0 (-> Int Int)) % 0.44/0.69 (define @t1 () (@var "X" Int)) % 0.44/0.69 (define @t2 () (+ 2 (+ @t1 @t1))) % 0.44/0.69 (define @t3 () (* 2 @t2)) % 0.44/0.69 (define @t4 () (+ @t3 @t1)) % 0.44/0.69 (define @t5 () (* 2 @t4)) % 0.44/0.69 (define @t6 () (tptp.f0 @t1)) % 0.44/0.69 (define @t7 () (= @t6 @t5)) % 0.44/0.69 (define @t8 () (@list @t1)) % 0.44/0.69 (define @t9 () (forall @t8 @t7)) % 0.44/0.69 (define @t10 () (= tptp.g0 2)) % 0.44/0.69 (define @t11 () (tptp.h0 @t1)) % 0.44/0.69 (define @t12 () (= @t11 @t1)) % 0.44/0.69 (define @t13 () (forall @t8 @t12)) % 0.44/0.69 (define @t14 () (@var "Y" Int)) % 0.44/0.69 (define @t15 () (- @t1 1)) % 0.44/0.69 (define @t16 () (tptp.u0 @t15 @t14)) % 0.44/0.69 (define @t17 () (tptp.f0 @t16)) % 0.44/0.69 (define @t18 () (tptp.u0 @t1 @t14)) % 0.44/0.69 (define @t19 () (= @t18 @t17)) % 0.44/0.69 (define @t20 () (<= @t1 0)) % 0.44/0.69 (define @t21 () (not @t20)) % 0.44/0.69 (define @t22 () (=> @t21 @t19)) % 0.44/0.69 (define @t23 () (= @t18 @t14)) % 0.44/0.69 (define @t24 () (=> @t20 @t23)) % 0.44/0.69 (define @t25 () (and @t24 @t22)) % 0.44/0.69 (define @t26 () (@list @t1 @t14)) % 0.44/0.69 (define @t27 () (forall @t26 @t25)) % 0.44/0.69 (define @t28 () (tptp.v0 @t1)) % 0.44/0.69 (define @t29 () (- @t28 1)) % 0.44/0.69 (define @t30 () (tptp.small @t1)) % 0.44/0.69 (define @t31 () (= @t30 @t29)) % 0.44/0.69 (define @t32 () (forall @t8 @t31)) % 0.44/0.69 (define @t33 () (* 2 @t5)) % 0.44/0.69 (define @t34 () (+ 1 @t33)) % 0.44/0.69 (define @t35 () (+ 1 (+ 2 2))) % 0.44/0.69 (define @t36 () (* @t35 @t34)) % 0.44/0.69 (define @t37 () (+ 2 @t36)) % 0.44/0.69 (define @t38 () (tptp.fast @t1)) % 0.44/0.69 (define @t39 () (= @t38 @t37)) % 0.44/0.69 (define @t40 () (forall @t8 @t39)) % 0.44/0.69 (define @t41 () (@var "C" Int)) % 0.44/0.69 (define @t42 () (= (tptp.small @t41) (tptp.fast @t41))) % 0.44/0.69 (define @t43 () (not @t42)) % 0.44/0.69 (define @t44 () (>= @t41 0)) % 0.44/0.69 (define @t45 () (and @t44 @t43)) % 0.44/0.69 (define @t46 () (@list @t41)) % 0.44/0.69 (define @t47 () (exists @t46 @t45)) % 0.44/0.69 (define @t48 () (not @t44)) % 0.44/0.69 (define @t49 () (forall @t46 (not @t45))) % 0.44/0.69 (define @t50 () (not @t49)) % 0.44/0.69 (define @t51 () (@quantifiers_skolemize (forall @t46 (or @t48 @t42)) 0)) % 0.44/0.69 (define @t52 () (tptp.fast @t51)) % 0.44/0.69 (define @t53 () (tptp.small @t51)) % 0.44/0.69 (define @t54 () (= @t53 @t52)) % 0.44/0.69 (define @t55 () (or (not (>= @t51 0)) @t54)) % 0.44/0.69 (define @t56 () (not @t54)) % 0.44/0.69 (define @t57 () (+ 1 @t30)) % 0.44/0.69 (define @t58 () (+ -1 @t28)) % 0.44/0.69 (define @t59 () (= @t28 @t57)) % 0.44/0.69 (define @t60 () (* -1 1)) % 0.44/0.69 (define @t61 () (+ @t28 @t60)) % 0.44/0.69 (define @t62 () (tptp.v0 @t51)) % 0.44/0.69 (define @t63 () (+ -1 @t62)) % 0.44/0.69 (define @t64 () (- @t53 @t63)) % 0.44/0.69 (define @t65 () (+ 1 @t53)) % 0.44/0.69 (define @t66 () (= @t53 @t63)) % 0.44/0.69 (define @t67 () (= @t62 @t65)) % 0.44/0.69 (define @t68 () (forall @t8 @t59)) % 0.44/0.69 (define @t69 () (@list @t51)) % 0.44/0.69 (define @t70 () (@list false)) % 0.44/0.69 (define @t71 () (* 100 @t1)) % 0.44/0.69 (define @t72 () (+ 85 @t71)) % 0.44/0.69 (define @t73 () (* 20 @t1)) % 0.44/0.69 (define @t74 () (+ 17 @t73)) % 0.44/0.69 (define @t75 () (+ 16 @t73)) % 0.44/0.69 (define @t76 () (+ 8 (* 10 @t1))) % 0.44/0.69 (define @t77 () (+ 4 (* 5 @t1))) % 0.44/0.69 (define @t78 () (+ 4 (* 4 @t1))) % 0.44/0.69 (define @t79 () (* 2 @t1)) % 0.44/0.69 (define @t80 () (+ 2 @t79)) % 0.44/0.69 (define @t81 () (+ @t79 2)) % 0.44/0.69 (define @t82 () (+ -1 @t1)) % 0.44/0.69 (define @t83 () (= @t18 (tptp.f0 (tptp.u0 @t82 @t14)))) % 0.44/0.69 (define @t84 () (>= @t1 1)) % 0.44/0.69 (define @t85 () (not @t84)) % 0.44/0.69 (define @t86 () (or @t85 @t83)) % 0.44/0.69 (define @t87 () (forall @t26 @t86)) % 0.44/0.69 (define @t88 () (@list @t1 @t14)) % 0.44/0.69 (define @t89 () (@var "BOUND_VARIABLE_7529" Int)) % 0.44/0.69 (define @t90 () (@var "BOUND_VARIABLE_7527" Int)) % 0.44/0.69 (define @t91 () (= @t14 @t18)) % 0.44/0.69 (define @t92 () (or @t84 @t91)) % 0.44/0.69 (define @t93 () (forall @t26 @t92)) % 0.44/0.69 (define @t94 () (@var "BOUND_VARIABLE_7519" Int)) % 0.44/0.69 (define @t95 () (@var "BOUND_VARIABLE_7517" Int)) % 0.44/0.69 (define @t96 () (and @t93 @t87)) % 0.44/0.69 (define @t97 () (and (=> @t85 @t91) (=> @t84 @t83))) % 0.44/0.69 (define @t98 () (+ @t1 @t60)) % 0.44/0.69 (define @t99 () (+ 0 1)) % 0.44/0.69 (define @t100 () (>= @t1 @t99)) % 0.44/0.69 (define @t101 () (tptp.h0 @t51)) % 0.44/0.69 (define @t102 () (>= tptp.g0 1)) % 0.44/0.69 (define @t103 () (not @t10)) % 0.44/0.69 (define @t104 () (not @t102)) % 0.44/0.69 (define @t105 () (>= tptp.g0 @t99)) % 0.44/0.69 (define @t106 () (<= tptp.g0 0)) % 0.44/0.69 (define @t107 () (* -1 2)) % 0.44/0.69 (define @t108 () (+ 0 @t107)) % 0.44/0.69 (define @t109 () (* -1 tptp.g0)) % 0.44/0.69 (define @t110 () (+ tptp.g0 @t109)) % 0.44/0.69 (define @t111 () (= @t110 0)) % 0.44/0.69 (define @t112 () (< -1 0)) % 0.44/0.69 (define @t113 () (and @t104 @t10)) % 0.44/0.69 (define @t114 () (@list @t10)) % 0.44/0.69 (define @t115 () (+ -1 tptp.g0)) % 0.44/0.69 (define @t116 () (tptp.u0 @t115 @t101)) % 0.44/0.69 (define @t117 () (tptp.f0 @t116)) % 0.44/0.69 (define @t118 () (tptp.u0 tptp.g0 @t101)) % 0.44/0.69 (define @t119 () (= @t118 @t117)) % 0.44/0.69 (define @t120 () (or @t104 @t119)) % 0.44/0.69 (define @t121 () (@list false false)) % 0.44/0.69 (define @t122 () (+ -2 tptp.g0)) % 0.44/0.69 (define @t123 () (+ tptp.g0 -2)) % 0.44/0.69 (define @t124 () (+ -1 @t115)) % 0.44/0.69 (define @t125 () (tptp.u0 @t124 @t101)) % 0.44/0.69 (define @t126 () (tptp.f0 @t125)) % 0.44/0.69 (define @t127 () (= @t116 @t126)) % 0.44/0.69 (define @t128 () (>= tptp.g0 2)) % 0.44/0.69 (define @t129 () (>= @t115 1)) % 0.44/0.69 (define @t130 () (not @t129)) % 0.44/0.69 (define @t131 () (or @t130 @t127)) % 0.44/0.69 (define @t132 () (forall (@list @t90 @t89) (or (not (>= @t90 1)) (= (tptp.u0 @t90 @t89) (tptp.f0 (tptp.u0 (+ -1 @t90) @t89)))))) % 0.44/0.69 (define @t133 () (tptp.u0 @t122 @t101)) % 0.44/0.69 (define @t134 () (tptp.f0 @t133)) % 0.44/0.69 (define @t135 () (= @t116 @t134)) % 0.44/0.69 (define @t136 () (not @t128)) % 0.44/0.69 (define @t137 () (or @t136 @t135)) % 0.44/0.69 (define @t138 () (+ 1 1)) % 0.44/0.69 (define @t139 () (>= tptp.g0 @t138)) % 0.44/0.69 (define @t140 () (<= tptp.g0 1)) % 0.44/0.69 (define @t141 () (<= 0 -1)) % 0.44/0.69 (define @t142 () (+ 1 @t107)) % 0.44/0.69 (define @t143 () (and @t136 @t10)) % 0.44/0.69 (define @t144 () (= @t101 @t133)) % 0.44/0.69 (define @t145 () (>= tptp.g0 3)) % 0.44/0.69 (define @t146 () (>= @t122 1)) % 0.44/0.69 (define @t147 () (or @t146 @t144)) % 0.44/0.69 (define @t148 () (forall (@list @t95 @t94) (or (>= @t95 1) (= @t94 (tptp.u0 @t95 @t94))))) % 0.44/0.69 (define @t149 () (or @t145 @t144)) % 0.44/0.69 (define @t150 () (* -1 3)) % 0.44/0.69 (define @t151 () (+ @t150 2)) % 0.44/0.69 (define @t152 () (+ @t109 tptp.g0)) % 0.44/0.69 (define @t153 () (and @t145 @t10)) % 0.44/0.69 (define @t154 () (* 100 @t51)) % 0.44/0.69 (define @t155 () (+ 87 @t154)) % 0.44/0.69 (define @t156 () (= @t52 @t155)) % 0.44/0.69 (define @t157 () (= @t62 @t118)) % 0.44/0.69 (define @t158 () (= @t51 @t101)) % 0.44/0.69 (define @t159 () (* 10 @t116)) % 0.44/0.69 (define @t160 () (+ 8 @t159)) % 0.44/0.69 (define @t161 () (= @t117 @t160)) % 0.44/0.69 (define @t162 () (* 10 @t133)) % 0.44/0.69 (define @t163 () (+ 8 @t162)) % 0.44/0.69 (define @t164 () (= @t134 @t163)) % 0.44/0.69 (define @t165 () (* -1 @t52)) % 0.44/0.69 (define @t166 () (+ @t53 @t165)) % 0.44/0.69 (define @t167 () (>= @t166 0)) % 0.44/0.69 (define @t168 () (< @t166 0)) % 0.44/0.69 (define @t169 () (* 100 0)) % 0.44/0.69 (define @t170 () (* -1 0)) % 0.44/0.69 (define @t171 () (* -1 -87)) % 0.44/0.69 (define @t172 () (* -1 -1)) % 0.44/0.69 (define @t173 () (* 10 -8)) % 0.44/0.69 (define @t174 () (* -10 0)) % 0.44/0.69 (define @t175 () (+ 0 @t169 @t174 @t173 @t170 @t172 @t171 @t170 -8 @t169)) % 0.44/0.69 (define @t176 () (* -1 @t62)) % 0.44/0.69 (define @t177 () (* -100 @t51)) % 0.44/0.69 (define @t178 () (* 100 @t101)) % 0.44/0.69 (define @t179 () (* -1 @t118)) % 0.44/0.69 (define @t180 () (* -10 @t116)) % 0.44/0.69 (define @t181 () (* -100 @t101)) % 0.44/0.69 (define @t182 () (* 100 @t133)) % 0.44/0.69 (define @t183 () (* -100 @t133)) % 0.44/0.69 (define @t184 () (* 0 @t53)) % 0.44/0.69 (define @t185 () (= @t184 0)) % 0.44/0.69 (define @t186 () (* 0 @t52)) % 0.44/0.69 (define @t187 () (= @t186 0)) % 0.44/0.69 (define @t188 () (* 0 @t117)) % 0.44/0.69 (define @t189 () (= @t188 0)) % 0.44/0.69 (define @t190 () (* 0 @t134)) % 0.44/0.69 (define @t191 () (= @t190 0)) % 0.44/0.69 (define @t192 () (+ @t183 @t182 @t190 @t159 @t188 @t181 @t180 @t118 @t179 @t178 @t62 @t177 @t176 @t186 @t184 @t154)) % 0.44/0.69 (define @t193 () (+ @t51 (* -1 @t101))) % 0.44/0.69 (define @t194 () (* -1 @t117)) % 0.44/0.69 (define @t195 () (+ @t159 @t194)) % 0.44/0.69 (define @t196 () (+ @t62 @t179)) % 0.44/0.69 (define @t197 () (+ @t154 @t165)) % 0.44/0.69 (define @t198 () (+ @t53 @t176)) % 0.44/0.69 (define @t199 () (+ @t118 @t194)) % 0.44/0.69 (define @t200 () (* -1 @t134)) % 0.44/0.69 (define @t201 () (+ @t162 @t200)) % 0.44/0.69 (define @t202 () (+ @t116 @t200)) % 0.44/0.69 (define @t203 () (+ @t101 (* -1 @t133))) % 0.44/0.69 (define @t204 () (+ @t166 (* 100 @t203) (* -10 @t202) (* 10 @t201) (* -1 @t199) (* -1 @t198) (* -1 @t197) (* -1 @t196) @t195 (* 100 @t193))) % 0.44/0.69 (define @t205 () (>= @t204 @t175)) % 0.44/0.69 (define @t206 () (= @t193 0)) % 0.44/0.69 (define @t207 () (= (* 1 (- @t193 0)) (* 1 (- @t51 @t101)))) % 0.44/0.69 (define @t208 () (= @t206 @t158)) % 0.44/0.69 (define @t209 () (= (* -8 (- @t195 -8)) (* 8 (- @t117 @t160)))) % 0.44/0.69 (define @t210 () (= @t195 -8)) % 0.44/0.69 (define @t211 () (= @t210 @t161)) % 0.44/0.69 (define @t212 () (= @t196 0)) % 0.44/0.69 (define @t213 () (= (* 1 (- @t196 0)) (* 1 (- @t62 @t118)))) % 0.44/0.69 (define @t214 () (= @t212 @t157)) % 0.44/0.69 (define @t215 () (= @t197 -87)) % 0.44/0.69 (define @t216 () (= (* -87 (- @t197 -87)) (* 87 (- @t52 @t155)))) % 0.44/0.69 (define @t217 () (= @t215 @t156)) % 0.44/0.69 (define @t218 () (= @t198 -1)) % 0.44/0.69 (define @t219 () (= (* 1 (- @t198 -1)) (* 1 @t64))) % 0.44/0.69 (define @t220 () (= @t218 @t66)) % 0.44/0.69 (define @t221 () (= @t199 0)) % 0.44/0.69 (define @t222 () (= (* 1 (- @t199 0)) (* 1 (- @t118 @t117)))) % 0.44/0.69 (define @t223 () (= @t221 @t119)) % 0.44/0.69 (define @t224 () (= @t201 -8)) % 0.44/0.69 (define @t225 () (= (* -8 (- @t201 -8)) (* 8 (- @t134 @t163)))) % 0.44/0.69 (define @t226 () (= @t224 @t164)) % 0.44/0.69 (define @t227 () (> 10 0)) % 0.44/0.69 (define @t228 () (= @t202 0)) % 0.44/0.69 (define @t229 () (= (* 1 (- @t202 0)) (* 1 (- @t116 @t134)))) % 0.44/0.69 (define @t230 () (= @t228 @t135)) % 0.44/0.69 (define @t231 () (< -10 0)) % 0.44/0.69 (define @t232 () (= @t203 0)) % 0.44/0.69 (define @t233 () (= (* 1 (- @t203 0)) (* 1 (- @t101 @t133)))) % 0.44/0.69 (define @t234 () (= @t232 @t144)) % 0.44/0.69 (define @t235 () (and @t66 @t156 @t157 @t158 @t119 @t161 @t135 @t164 @t144)) % 0.44/0.69 (define @t236 () (not @t144)) % 0.44/0.69 (define @t237 () (not @t164)) % 0.44/0.69 (define @t238 () (not @t135)) % 0.44/0.69 (define @t239 () (not @t161)) % 0.44/0.69 (define @t240 () (not @t119)) % 0.44/0.69 (define @t241 () (not @t158)) % 0.44/0.69 (define @t242 () (not @t157)) % 0.44/0.69 (define @t243 () (not @t156)) % 0.44/0.69 (define @t244 () (not @t66)) % 0.44/0.69 (define @t245 () (not @t167)) % 0.44/0.69 (define @t246 () (>= @t166 1)) % 0.44/0.69 (define @t247 () (* -100 0)) % 0.44/0.69 (define @t248 () (* -1 -8)) % 0.44/0.69 (define @t249 () (* -10 -8)) % 0.44/0.69 (define @t250 () (* 10 0)) % 0.44/0.69 (define @t251 () (+ @t60 @t250 @t249 0 -1 @t247 -87 0 @t248 @t247)) % 0.44/0.69 (define @t252 () (+ @t182 @t183 @t190 @t180 @t188 @t178 @t159 @t179 @t118 @t181 @t176 @t154 @t62 @t186 @t184 @t177)) % 0.44/0.69 (define @t253 () (+ (* -1 @t166) (* 10 @t202) (* -10 @t201) @t199 @t198 (* -100 @t203) @t197 @t196 (* -1 @t195) (* -100 @t193))) % 0.44/0.69 (define @t254 () (= @t166 0)) % 0.44/0.69 (define @t255 () (and @t158 @t161 @t157 @t156 @t144 @t66 @t119 @t164 @t135 @t56 @t167)) % 0.44/0.69 (assume @p1 @t9) % 0.44/0.69 (assume @p2 @t10) % 0.44/0.69 (assume @p3 @t13) % 0.44/0.69 (assume @p4 @t27) % 0.44/0.69 (assume @p5 (forall @t8 (= @t28 (tptp.u0 tptp.g0 @t11)))) % 0.44/0.69 (assume @p6 @t32) % 0.44/0.69 (assume @p7 @t40) % 0.44/0.69 (assume @p8 (not (not @t47))) % 0.44/0.69 (assume @p9 true) % 0.44/0.69 (step @p10 :rule bool-double-not-elim :args (@t42)) % 0.44/0.69 (step @p11 :rule refl :args (@t48)) % 0.44/0.69 (step @p12 :rule nary_cong :premises (@p11 @p10) :args ((or @t48 (not @t43)))) % 0.44/0.69 (step @p13 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:rule evaluate :args (@t141)) % 0.44/0.69 (step @p523 :rule evaluate :args ((+ -1 0 80 0 -1 0 -87 0 8 0))) % 0.44/0.69 (step @p524 :rule evaluate :args (@t247)) % 0.44/0.69 (step @p525 :rule evaluate :args (@t248)) % 0.44/0.69 (step @p163 :rule refl :args (0)) % 0.44/0.69 (step @p526 :rule refl :args (-87)) % 0.44/0.69 (step @p527 :rule refl :args (-1)) % 0.44/0.69 (step @p528 :rule evaluate :args (@t249)) % 0.44/0.69 (step @p529 :rule evaluate :args (@t250)) % 0.44/0.69 (step @p530 :rule nary_cong :premises (@p28 @p529 @p528 @p163 @p527 @p524 @p526 @p163 @p525 @p524) :args (@t251)) % 0.44/0.69 (step @p531 :rule trans :premises (@p530 @p523)) % 0.44/0.69 (step @p532 :rule arith_poly_norm :args ((= (+ @t182 @t183 0 @t180 0 @t178 @t159 @t179 @t118 @t181 @t176 @t154 @t62 0 0 @t177) 0))) % 0.44/0.69 (step @p377 :rule refl :args (@t177)) % 0.44/0.69 (step @p374 :rule arith_poly_norm :args (@t185)) % 0.44/0.69 (step @p375 :rule arith_poly_norm :args (@t187)) % 0.44/0.69 (step @p378 :rule refl :args (@t62)) % 0.44/0.69 (step @p373 :rule refl :args (@t154)) % 0.44/0.69 (step @p376 :rule refl :args (@t176)) % 0.44/0.69 (step @p383 :rule refl :args (@t181)) % 0.44/0.69 (step @p381 :rule refl :args (@t118)) % 0.44/0.69 (step @p380 :rule refl :args (@t179)) % 0.44/0.69 (step @p385 :rule refl :args (@t159)) % 0.44/0.69 (step @p379 :rule refl :args (@t178)) % 0.44/0.69 (step @p384 :rule arith_poly_norm :args (@t189)) % 0.44/0.69 (step @p382 :rule refl :args (@t180)) % 0.44/0.69 (step @p386 :rule arith_poly_norm :args (@t191)) % 0.44/0.69 (step @p388 :rule refl :args (@t183)) % 0.44/0.69 (step @p387 :rule refl :args (@t182)) % 0.44/0.69 (step @p533 :rule nary_cong :premises (@p387 @p388 @p386 @p382 @p384 @p379 @p385 @p380 @p381 @p383 @p376 @p373 @p378 @p375 @p374 @p377) :args (@t252)) % 0.44/0.69 (step @p534 :rule trans :premises (@p533 @p532)) % 0.44/0.69 (step @p535 :rule arith_poly_norm :args ((= @t253 @t252))) % 0.44/0.69 (step @p536 :rule trans :premises (@p535 @p534)) % 0.44/0.69 (step @p537 :rule cong :premises (@p536 @p531) :args ((<= @t253 @t251))) % 0.44/0.69 (step @p538 :rule trans :premises (@p537 @p251)) % 0.44/0.69 (step @p539 :rule arith_mult_neg :args (-100 @t206)) % 0.44/0.69 (step @p400 :rule arith_poly_norm :args (@t207)) % 0.44/0.69 (step @p401 :rule arith_poly_norm_rel :premises (@p400) :args (@t208)) % 0.44/0.69 (step @p402 :rule symm :premises (@p401)) % 0.44/0.69 (step @p403 :rule eq_resolve :premises (@p88 @p402)) % 0.44/0.69 (step @p540 :rule evaluate :args ((< -100 0))) % 0.44/0.69 (step @p541 :rule true_elim :premises (@p540)) % 0.44/0.69 (step @p542 :rule and_intro :premises (@p541 @p403)) % 0.44/0.69 (step @p543 :rule modus_ponens :premises (@p542 @p539)) % 0.44/0.69 (step @p544 :rule arith_mult_neg :args (-1 @t210)) % 0.44/0.69 (step @p408 :rule arith_poly_norm :args (@t209)) % 0.44/0.69 (step @p409 :rule arith_poly_norm_rel :premises (@p408) :args (@t211)) % 0.44/0.69 (step @p410 :rule symm :premises (@p409)) % 0.44/0.69 (step @p411 :rule eq_resolve :premises (@p201 @p410)) % 0.44/0.69 (step @p170 :rule evaluate :args (@t112)) % 0.44/0.69 (step @p171 :rule true_elim :premises (@p170)) % 0.44/0.69 (step @p545 :rule and_intro :premises (@p171 @p411)) % 0.44/0.69 (step @p546 :rule modus_ponens :premises (@p545 @p544)) % 0.44/0.69 (step @p413 :rule arith_poly_norm :args (@t213)) % 0.44/0.69 (step @p414 :rule arith_poly_norm_rel :premises (@p413) :args (@t214)) % 0.44/0.69 (step @p415 :rule symm :premises (@p414)) % 0.44/0.69 (step @p416 :rule eq_resolve :premises (@p83 @p415)) % 0.44/0.69 (step @p420 :rule arith_poly_norm :args (@t216)) % 0.44/0.69 (step @p421 :rule arith_poly_norm_rel :premises (@p420) :args (@t217)) % 0.44/0.69 (step @p422 :rule symm :premises (@p421)) % 0.44/0.69 (step @p423 :rule eq_resolve :premises (@p82 @p422)) % 0.44/0.69 (step @p547 :rule arith_mult_neg :args (-100 @t232)) % 0.44/0.69 (step @p459 :rule arith_poly_norm :args (@t233)) % 0.44/0.69 (step @p460 :rule arith_poly_norm_rel :premises (@p459) :args (@t234)) % 0.44/0.69 (step @p461 :rule symm :premises (@p460)) % 0.44/0.69 (step @p548 :rule eq_resolve :premises (@p695 @p461)) % 0.44/0.69 (step @p549 :rule and_intro :premises (@p541 @p548)) % 0.44/0.69 (step @p550 :rule modus_ponens :premises (@p549 @p547)) % 0.44/0.69 (step @p427 :rule arith_poly_norm :args (@t219)) % 0.44/0.69 (step @p428 :rule arith_poly_norm_rel :premises (@p427) :args (@t220)) % 0.44/0.69 (step @p429 :rule symm :premises (@p428)) % 0.44/0.69 (step @p430 :rule eq_resolve :premises (@p49 @p429)) % 0.44/0.69 (step @p434 :rule arith_poly_norm :args (@t222)) % 0.44/0.69 (step @p435 :rule arith_poly_norm_rel :premises (@p434) :args (@t223)) % 0.44/0.69 (step @p436 :rule symm :premises (@p435)) % 0.44/0.69 (step @p551 :rule eq_resolve :premises (@p697 @p436)) % 0.44/0.69 (step @p552 :rule arith_mult_neg :args (-10 @t224)) % 0.44/0.69 (step @p441 :rule arith_poly_norm :args (@t225)) % 0.44/0.69 (step @p442 :rule arith_poly_norm_rel :premises (@p441) :args (@t226)) % 0.44/0.69 (step @p443 :rule symm :premises (@p442)) % 0.44/0.69 (step @p444 :rule eq_resolve :premises (@p280 @p443)) % 0.44/0.69 (step @p454 :rule evaluate :args (@t231)) % 0.44/0.69 (step @p455 :rule true_elim :premises (@p454)) % 0.44/0.69 (step @p553 :rule and_intro :premises (@p455 @p444)) % 0.44/0.69 (step @p554 :rule modus_ponens :premises (@p553 @p552)) % 0.44/0.69 (step @p555 :rule arith_mult_pos :args (10 @t228)) % 0.44/0.69 (step @p450 :rule arith_poly_norm :args (@t229)) % 0.44/0.69 (step @p451 :rule arith_poly_norm_rel :premises (@p450) :args (@t230)) % 0.44/0.69 (step @p452 :rule symm :premises (@p451)) % 0.44/0.69 (step @p556 :rule eq_resolve :premises (@p699 @p452)) % 0.44/0.69 (step @p445 :rule evaluate :args (@t227)) % 0.44/0.69 (step @p446 :rule true_elim :premises (@p445)) % 0.44/0.69 (step @p557 :rule and_intro :premises (@p446 @p556)) % 0.44/0.69 (step @p558 :rule modus_ponens :premises (@p557 @p555)) % 0.44/0.69 (step @p559 :rule arith_mult_neg :args (-1 @t246)) % 0.44/0.69 (step @p560 :rule and_intro :premises (@p171 @p702)) % 0.44/0.69 (step @p561 :rule modus_ponens :premises (@p560 @p559)) % 0.44/0.69 (step @p562 :rule arith_sum_ub :premises (@p561 @p558 @p554 @p551 @p430 @p550 @p423 @p416 @p546 @p543)) % 0.44/0.69 (step @p563 false :rule eq_resolve :premises (@p562 @p538)) % 0.44/0.69 (step-pop @p703 :rule scope :premises (@p563)) % 0.44/0.69 (step @p564 :rule process_scope :premises (@p703) :args (false)) % 0.44/0.69 (step @p566 :rule eq_resolve :premises (@p564 @p521)) % 0.44/0.69 (step @p567 :rule eq_resolve :premises (@p566 @p520)) % 0.44/0.69 (step @p568 :rule arith_poly_norm :args ((= (* 1 (- @t166 0)) (* 1 (- @t53 @t52))))) % 0.44/0.69 (step @p569 :rule arith_poly_norm_rel :premises (@p568) :args ((= @t254 @t54))) % 0.44/0.69 (step @p570 :rule cong :premises (@p569) :args ((not @t254))) % 0.44/0.69 (step @p571 :rule symm :premises (@p570)) % 0.44/0.69 (step @p572 :rule eq_resolve :premises (@p24 @p571)) % 0.44/0.69 (step @p573 :rule arith_trichotomy :premises (@p572 @p701)) % 0.44/0.69 (step @p574 :rule int_tight_lb :premises (@p573)) % 0.44/0.69 (step @p575 false :rule contra :premises (@p574 @p567)) % 0.44/0.69 (step-pop @p704 :rule scope :premises (@p575)) % 0.44/0.69 (step-pop @p705 :rule scope :premises (@p704)) % 0.44/0.69 (step-pop @p706 :rule scope :premises (@p705)) % 0.44/0.69 (step-pop @p707 :rule scope :premises (@p706)) % 0.44/0.69 (step-pop @p708 :rule scope :premises (@p707)) % 0.44/0.69 (step-pop @p709 :rule scope :premises (@p708)) % 0.44/0.69 (step-pop @p710 :rule scope :premises (@p709)) % 0.44/0.69 (step-pop @p711 :rule scope :premises (@p710)) % 0.44/0.69 (step-pop @p712 :rule scope :premises (@p711)) % 0.44/0.69 (step-pop @p713 :rule scope :premises (@p712)) % 0.44/0.69 (step-pop @p714 :rule scope :premises (@p713)) % 0.44/0.69 (step @p576 :rule process_scope :premises (@p714) :args (false)) % 0.44/0.69 (assume-push @p715 @t56) % 0.44/0.69 (assume-push @p716 @t167) % 0.44/0.69 (assume-push @p717 @t66) % 0.44/0.69 (assume-push @p718 @t156) % 0.44/0.69 (assume-push @p719 @t157) % 0.44/0.69 (assume-push @p720 @t158) % 0.44/0.69 (assume-push @p721 @t119) % 0.44/0.69 (assume-push @p722 @t161) % 0.44/0.69 (assume-push @p723 @t135) % 0.44/0.69 (assume-push @p724 @t164) % 0.44/0.69 (assume-push @p725 @t144) % 0.44/0.69 (step @p599 :rule and_intro :premises (@p88 @p201 @p83 @p82 @p725 @p49 @p721 @p280 @p723 @p24 @p716)) % 0.44/0.69 (step-pop @p726 :rule scope :premises (@p599)) % 0.44/0.69 (step-pop @p727 :rule scope :premises (@p726)) % 0.44/0.69 (step-pop @p728 :rule scope :premises (@p727)) % 0.44/0.69 (step-pop @p729 :rule scope :premises (@p728)) % 0.44/0.69 (step-pop @p730 :rule scope :premises (@p729)) % 0.44/0.69 (step-pop @p731 :rule scope :premises (@p730)) % 0.44/0.69 (step-pop @p732 :rule scope :premises (@p731)) % 0.44/0.69 (step-pop @p733 :rule scope :premises (@p732)) % 0.44/0.69 (step-pop @p734 :rule scope :premises (@p733)) % 0.44/0.69 (step-pop @p735 :rule scope :premises (@p734)) % 0.44/0.69 (step-pop @p736 :rule scope :premises (@p735)) % 0.44/0.69 (step @p600 :rule process_scope :premises (@p736) :args (@t255)) % 0.44/0.69 (step @p612 :rule implies_elim :premises (@p600)) % 0.44/0.69 (step @p613 :rule resolution :premises (@p612 @p576) :args (true @t255)) % 0.44/0.69 (step @p614 :rule not_and :premises (@p613)) % 0.44/0.69 (step @p615 :rule eq_resolve :premises (@p614 @p508)) % 0.44/0.69 (step @p616 false :rule chain_m_resolution :premises (@p615 @p496 @p336 @p280 @p279 @p201 @p196 @p88 @p83 @p82 @p49 @p24) :args (false (@list false false false false false false false false false false true) (@list @t167 @t144 @t164 @t135 @t161 @t119 @t158 @t157 @t156 @t66 @t54))) % 0.44/0.69 ) % 0.44/0.69 % SZS output end Proof % 0.44/0.69 % cvc5 exiting %------------------------------------------------------------------------------