%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SWC438_1 : TPTP v9.2.1. Released v9.0.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % Computer : n025.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 08:59:17 AM UTC 2026 % Result : Theorem 0.40s 0.65s % Output : Proof 0.40s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SWC438_1 : TPTP v9.2.1. Released v9.0.0. % 0.12/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.15/0.34 % Computer : n025.cluster.edu % 0.15/0.34 % Model : x86_64 x86_64 % 0.15/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.15/0.34 % Memory : 8042.1875MB % 0.15/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.15/0.34 % CPULimit : 300 % 0.15/0.34 % WCLimit : 300 % 0.15/0.34 % DateTime : Tue Jun 2 19:47:31 EDT 2026 % 0.15/0.34 % CPUTime : % 0.29/0.49 %----Proving TF0_ARI % 0.40/0.65 --- Run --finite-model-find --decision=internal at 45... % 0.40/0.65 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 60... % 0.40/0.65 % SZS status Theorem % 0.40/0.65 % SZS output start Proof % 0.40/0.65 ( % 0.40/0.65 (declare-const tptp.fast (-> Int Int)) % 0.40/0.65 (declare-const tptp.small (-> Int Int)) % 0.40/0.65 (declare-const tptp.v0 (-> Int Int)) % 0.40/0.65 (declare-const tptp.u0 (-> Int Int Int)) % 0.40/0.65 (declare-const tptp.h0 (-> Int Int)) % 0.40/0.65 (declare-const tptp.g0 Int) % 0.40/0.65 (declare-const tptp.f0 (-> Int Int)) % 0.40/0.65 (define @t1 () (@var "X" Int)) % 0.40/0.65 (define @t2 () (+ 1 (+ @t1 @t1))) % 0.40/0.65 (define @t3 () (tptp.f0 @t1)) % 0.40/0.65 (define @t4 () (= @t3 @t2)) % 0.40/0.65 (define @t5 () (@list @t1)) % 0.40/0.65 (define @t6 () (forall @t5 @t4)) % 0.40/0.65 (define @t7 () (= tptp.g0 2)) % 0.40/0.65 (define @t8 () (tptp.h0 @t1)) % 0.40/0.65 (define @t9 () (= @t8 @t1)) % 0.40/0.65 (define @t10 () (forall @t5 @t9)) % 0.40/0.65 (define @t11 () (@var "Y" Int)) % 0.40/0.65 (define @t12 () (- @t1 1)) % 0.40/0.65 (define @t13 () (tptp.u0 @t12 @t11)) % 0.40/0.65 (define @t14 () (tptp.f0 @t13)) % 0.40/0.65 (define @t15 () (tptp.u0 @t1 @t11)) % 0.40/0.65 (define @t16 () (= @t15 @t14)) % 0.40/0.65 (define @t17 () (<= @t1 0)) % 0.40/0.65 (define @t18 () (not @t17)) % 0.40/0.65 (define @t19 () (=> @t18 @t16)) % 0.40/0.65 (define @t20 () (= @t15 @t11)) % 0.40/0.65 (define @t21 () (=> @t17 @t20)) % 0.40/0.65 (define @t22 () (and @t21 @t19)) % 0.40/0.65 (define @t23 () (@list @t1 @t11)) % 0.40/0.65 (define @t24 () (forall @t23 @t22)) % 0.40/0.65 (define @t25 () (tptp.v0 @t1)) % 0.40/0.65 (define @t26 () (+ @t25 @t1)) % 0.40/0.65 (define @t27 () (* 2 @t26)) % 0.40/0.65 (define @t28 () (tptp.small @t1)) % 0.40/0.65 (define @t29 () (= @t28 @t27)) % 0.40/0.65 (define @t30 () (forall @t5 @t29)) % 0.40/0.65 (define @t31 () (+ 1 (+ 2 2))) % 0.40/0.65 (define @t32 () (* @t31 @t2)) % 0.40/0.65 (define @t33 () (+ 1 @t32)) % 0.40/0.65 (define @t34 () (tptp.fast @t1)) % 0.40/0.65 (define @t35 () (= @t34 @t33)) % 0.40/0.65 (define @t36 () (forall @t5 @t35)) % 0.40/0.65 (define @t37 () (@var "C" Int)) % 0.40/0.65 (define @t38 () (= (tptp.small @t37) (tptp.fast @t37))) % 0.40/0.65 (define @t39 () (not @t38)) % 0.40/0.65 (define @t40 () (>= @t37 0)) % 0.40/0.65 (define @t41 () (and @t40 @t39)) % 0.40/0.65 (define @t42 () (@list @t37)) % 0.40/0.65 (define @t43 () (exists @t42 @t41)) % 0.40/0.65 (define @t44 () (not @t40)) % 0.40/0.65 (define @t45 () (forall @t42 (not @t41))) % 0.40/0.65 (define @t46 () (not @t45)) % 0.40/0.65 (define @t47 () (@quantifiers_skolemize (forall @t42 (or @t44 @t38)) 0)) % 0.40/0.65 (define @t48 () (tptp.fast @t47)) % 0.40/0.65 (define @t49 () (tptp.small @t47)) % 0.40/0.65 (define @t50 () (= @t49 @t48)) % 0.40/0.65 (define @t51 () (or (not (>= @t47 0)) @t50)) % 0.40/0.65 (define @t52 () (not @t50)) % 0.40/0.65 (define @t53 () (* 2 @t1)) % 0.40/0.65 (define @t54 () (+ @t1 @t25)) % 0.40/0.65 (define @t55 () (@list @t47)) % 0.40/0.65 (define @t56 () (* 10 @t1)) % 0.40/0.65 (define @t57 () (+ 5 @t56)) % 0.40/0.65 (define @t58 () (+ 1 @t53)) % 0.40/0.65 (define @t59 () (+ @t53 1)) % 0.40/0.65 (define @t60 () (+ -1 @t1)) % 0.40/0.65 (define @t61 () (= @t15 (tptp.f0 (tptp.u0 @t60 @t11)))) % 0.40/0.65 (define @t62 () (>= @t1 1)) % 0.40/0.65 (define @t63 () (not @t62)) % 0.40/0.65 (define @t64 () (or @t63 @t61)) % 0.40/0.65 (define @t65 () (forall @t23 @t64)) % 0.40/0.65 (define @t66 () (@list @t1 @t11)) % 0.40/0.65 (define @t67 () (@var "BOUND_VARIABLE_7512" Int)) % 0.40/0.65 (define @t68 () (@var "BOUND_VARIABLE_7510" Int)) % 0.40/0.65 (define @t69 () (= @t11 @t15)) % 0.40/0.65 (define @t70 () (or @t62 @t69)) % 0.40/0.65 (define @t71 () (forall @t23 @t70)) % 0.40/0.65 (define @t72 () (@var "BOUND_VARIABLE_7502" Int)) % 0.40/0.65 (define @t73 () (@var "BOUND_VARIABLE_7500" Int)) % 0.40/0.65 (define @t74 () (and @t71 @t65)) % 0.40/0.65 (define @t75 () (and (=> @t63 @t69) (=> @t62 @t61))) % 0.40/0.65 (define @t76 () (* -1 1)) % 0.40/0.65 (define @t77 () (+ @t1 @t76)) % 0.40/0.65 (define @t78 () (+ 0 1)) % 0.40/0.65 (define @t79 () (>= @t1 @t78)) % 0.40/0.65 (define @t80 () (tptp.h0 @t47)) % 0.40/0.65 (define @t81 () (>= tptp.g0 1)) % 0.40/0.65 (define @t82 () (not @t7)) % 0.40/0.65 (define @t83 () (not @t81)) % 0.40/0.65 (define @t84 () (>= tptp.g0 @t78)) % 0.40/0.65 (define @t85 () (<= tptp.g0 0)) % 0.40/0.65 (define @t86 () (* -1 2)) % 0.40/0.65 (define @t87 () (+ 0 @t86)) % 0.40/0.65 (define @t88 () (* -1 tptp.g0)) % 0.40/0.65 (define @t89 () (+ tptp.g0 @t88)) % 0.40/0.65 (define @t90 () (= @t89 0)) % 0.40/0.65 (define @t91 () (< -1 0)) % 0.40/0.65 (define @t92 () (and @t83 @t7)) % 0.40/0.65 (define @t93 () (@list false)) % 0.40/0.65 (define @t94 () (@list @t7)) % 0.40/0.65 (define @t95 () (+ -1 tptp.g0)) % 0.40/0.65 (define @t96 () (tptp.u0 @t95 @t80)) % 0.40/0.65 (define @t97 () (tptp.f0 @t96)) % 0.40/0.65 (define @t98 () (tptp.u0 tptp.g0 @t80)) % 0.40/0.65 (define @t99 () (= @t98 @t97)) % 0.40/0.65 (define @t100 () (or @t83 @t99)) % 0.40/0.65 (define @t101 () (@list false false)) % 0.40/0.65 (define @t102 () (+ -2 tptp.g0)) % 0.40/0.65 (define @t103 () (+ tptp.g0 -2)) % 0.40/0.65 (define @t104 () (+ -1 @t95)) % 0.40/0.65 (define @t105 () (tptp.u0 @t104 @t80)) % 0.40/0.65 (define @t106 () (tptp.f0 @t105)) % 0.40/0.65 (define @t107 () (= @t96 @t106)) % 0.40/0.65 (define @t108 () (>= tptp.g0 2)) % 0.40/0.65 (define @t109 () (>= @t95 1)) % 0.40/0.65 (define @t110 () (not @t109)) % 0.40/0.65 (define @t111 () (or @t110 @t107)) % 0.40/0.65 (define @t112 () (forall (@list @t68 @t67) (or (not (>= @t68 1)) (= (tptp.u0 @t68 @t67) (tptp.f0 (tptp.u0 (+ -1 @t68) @t67)))))) % 0.40/0.65 (define @t113 () (tptp.u0 @t102 @t80)) % 0.40/0.65 (define @t114 () (tptp.f0 @t113)) % 0.40/0.65 (define @t115 () (= @t96 @t114)) % 0.40/0.65 (define @t116 () (not @t108)) % 0.40/0.65 (define @t117 () (or @t116 @t115)) % 0.40/0.65 (define @t118 () (+ 1 1)) % 0.40/0.65 (define @t119 () (>= tptp.g0 @t118)) % 0.40/0.65 (define @t120 () (<= tptp.g0 1)) % 0.40/0.65 (define @t121 () (<= 0 -1)) % 0.40/0.65 (define @t122 () (+ 1 @t86)) % 0.40/0.65 (define @t123 () (and @t116 @t7)) % 0.40/0.65 (define @t124 () (= @t80 @t113)) % 0.40/0.65 (define @t125 () (>= tptp.g0 3)) % 0.40/0.65 (define @t126 () (>= @t102 1)) % 0.40/0.65 (define @t127 () (or @t126 @t124)) % 0.40/0.65 (define @t128 () (forall (@list @t73 @t72) (or (>= @t73 1) (= @t72 (tptp.u0 @t73 @t72))))) % 0.40/0.65 (define @t129 () (or @t125 @t124)) % 0.40/0.65 (define @t130 () (* -1 3)) % 0.40/0.65 (define @t131 () (+ @t130 2)) % 0.40/0.65 (define @t132 () (+ @t88 tptp.g0)) % 0.40/0.65 (define @t133 () (and @t125 @t7)) % 0.40/0.65 (define @t134 () (tptp.v0 @t47)) % 0.40/0.65 (define @t135 () (* 2 @t134)) % 0.40/0.65 (define @t136 () (* 2 @t47)) % 0.40/0.65 (define @t137 () (+ @t136 @t135)) % 0.40/0.65 (define @t138 () (= @t49 @t137)) % 0.40/0.65 (define @t139 () (* 10 @t47)) % 0.40/0.65 (define @t140 () (+ 6 @t139)) % 0.40/0.65 (define @t141 () (= @t48 @t140)) % 0.40/0.65 (define @t142 () (= @t134 @t98)) % 0.40/0.65 (define @t143 () (= @t47 @t80)) % 0.40/0.65 (define @t144 () (* 2 @t96)) % 0.40/0.65 (define @t145 () (+ 1 @t144)) % 0.40/0.65 (define @t146 () (= @t97 @t145)) % 0.40/0.65 (define @t147 () (* 2 @t113)) % 0.40/0.65 (define @t148 () (+ 1 @t147)) % 0.40/0.65 (define @t149 () (= @t114 @t148)) % 0.40/0.65 (define @t150 () (* -1 @t48)) % 0.40/0.65 (define @t151 () (+ @t49 @t150)) % 0.40/0.65 (define @t152 () (>= @t151 0)) % 0.40/0.65 (define @t153 () (< @t151 0)) % 0.40/0.65 (define @t154 () (* -1 -6)) % 0.40/0.65 (define @t155 () (* -2 0)) % 0.40/0.65 (define @t156 () (* 2 -1)) % 0.40/0.65 (define @t157 () (* 8 0)) % 0.40/0.65 (define @t158 () (* 4 -1)) % 0.40/0.65 (define @t159 () (* -4 0)) % 0.40/0.65 (define @t160 () (+ 0 @t157 @t159 @t158 @t157 @t156 @t155 @t155 @t154 0)) % 0.40/0.65 (define @t161 () (* 8 @t47)) % 0.40/0.65 (define @t162 () (* -1 @t49)) % 0.40/0.65 (define @t163 () (* -2 @t134)) % 0.40/0.65 (define @t164 () (* -10 @t47)) % 0.40/0.65 (define @t165 () (* 8 @t80)) % 0.40/0.65 (define @t166 () (* -2 @t98)) % 0.40/0.65 (define @t167 () (* 2 @t98)) % 0.40/0.65 (define @t168 () (* -4 @t96)) % 0.40/0.65 (define @t169 () (* -8 @t80)) % 0.40/0.65 (define @t170 () (* 4 @t96)) % 0.40/0.65 (define @t171 () (* 8 @t113)) % 0.40/0.65 (define @t172 () (* -8 @t113)) % 0.40/0.65 (define @t173 () (* 0 @t48)) % 0.40/0.65 (define @t174 () (= @t173 0)) % 0.40/0.65 (define @t175 () (* 0 @t97)) % 0.40/0.65 (define @t176 () (= @t175 0)) % 0.40/0.65 (define @t177 () (* 0 @t114)) % 0.40/0.65 (define @t178 () (= @t177 0)) % 0.40/0.65 (define @t179 () (+ @t172 @t171 @t177 @t170 @t175 @t169 @t168 @t167 @t166 @t165 @t164 @t135 @t163 @t136 @t162 @t173 @t49 @t161)) % 0.40/0.65 (define @t180 () (+ @t136 @t162 @t135)) % 0.40/0.65 (define @t181 () (+ @t139 @t150)) % 0.40/0.65 (define @t182 () (* -1 @t97)) % 0.40/0.65 (define @t183 () (+ @t98 @t182)) % 0.40/0.65 (define @t184 () (+ @t134 (* -1 @t98))) % 0.40/0.65 (define @t185 () (+ @t144 @t182)) % 0.40/0.65 (define @t186 () (+ @t47 (* -1 @t80))) % 0.40/0.65 (define @t187 () (* -1 @t114)) % 0.40/0.65 (define @t188 () (+ @t147 @t187)) % 0.40/0.65 (define @t189 () (+ @t96 @t187)) % 0.40/0.65 (define @t190 () (+ @t80 (* -1 @t113))) % 0.40/0.65 (define @t191 () (+ @t151 (* 8 @t190) (* -4 @t189) (* 4 @t188) (* 8 @t186) (* 2 @t185) (* -2 @t184) (* -2 @t183) (* -1 @t181) @t180)) % 0.40/0.65 (define @t192 () (>= @t191 @t160)) % 0.40/0.65 (define @t193 () (= (* -2 (- @t180 0)) (* 2 (- @t49 @t137)))) % 0.40/0.65 (define @t194 () (= @t180 0)) % 0.40/0.65 (define @t195 () (= @t194 @t138)) % 0.40/0.65 (define @t196 () (= @t181 -6)) % 0.40/0.65 (define @t197 () (= (* -6 (- @t181 -6)) (* 6 (- @t48 @t140)))) % 0.40/0.65 (define @t198 () (= @t196 @t141)) % 0.40/0.65 (define @t199 () (= @t183 0)) % 0.40/0.65 (define @t200 () (= (* 1 (- @t183 0)) (* 1 (- @t98 @t97)))) % 0.40/0.65 (define @t201 () (= @t199 @t99)) % 0.40/0.65 (define @t202 () (< -2 0)) % 0.40/0.65 (define @t203 () (= @t184 0)) % 0.40/0.65 (define @t204 () (= (* 1 (- @t184 0)) (* 1 (- @t134 @t98)))) % 0.40/0.65 (define @t205 () (= @t203 @t142)) % 0.40/0.65 (define @t206 () (= @t185 -1)) % 0.40/0.65 (define @t207 () (= (* -1 (- @t185 -1)) (* 1 (- @t97 @t145)))) % 0.40/0.65 (define @t208 () (= @t206 @t146)) % 0.40/0.65 (define @t209 () (> 2 0)) % 0.40/0.65 (define @t210 () (= @t186 0)) % 0.40/0.65 (define @t211 () (= (* 1 (- @t186 0)) (* 1 (- @t47 @t80)))) % 0.40/0.65 (define @t212 () (= @t210 @t143)) % 0.40/0.65 (define @t213 () (= @t188 -1)) % 0.40/0.65 (define @t214 () (= (* -1 (- @t188 -1)) (* 1 (- @t114 @t148)))) % 0.40/0.65 (define @t215 () (= @t213 @t149)) % 0.40/0.65 (define @t216 () (> 4 0)) % 0.40/0.65 (define @t217 () (= @t189 0)) % 0.40/0.65 (define @t218 () (= (* 1 (- @t189 0)) (* 1 (- @t96 @t114)))) % 0.40/0.65 (define @t219 () (= @t217 @t115)) % 0.40/0.65 (define @t220 () (< -4 0)) % 0.40/0.65 (define @t221 () (= @t190 0)) % 0.40/0.65 (define @t222 () (= (* 1 (- @t190 0)) (* 1 (- @t80 @t113)))) % 0.40/0.65 (define @t223 () (= @t221 @t124)) % 0.40/0.65 (define @t224 () (and @t138 @t141 @t142 @t143 @t99 @t146 @t115 @t149 @t124)) % 0.40/0.65 (define @t225 () (not @t124)) % 0.40/0.65 (define @t226 () (not @t149)) % 0.40/0.65 (define @t227 () (not @t115)) % 0.40/0.65 (define @t228 () (not @t146)) % 0.40/0.65 (define @t229 () (not @t99)) % 0.40/0.65 (define @t230 () (not @t143)) % 0.40/0.65 (define @t231 () (not @t142)) % 0.40/0.65 (define @t232 () (not @t141)) % 0.40/0.65 (define @t233 () (not @t138)) % 0.40/0.65 (define @t234 () (not @t152)) % 0.40/0.65 (define @t235 () (>= @t151 1)) % 0.40/0.65 (define @t236 () (* -1 0)) % 0.40/0.65 (define @t237 () (* -8 0)) % 0.40/0.65 (define @t238 () (* 2 0)) % 0.40/0.65 (define @t239 () (* -2 -1)) % 0.40/0.65 (define @t240 () (* -4 -1)) % 0.40/0.65 (define @t241 () (* 4 0)) % 0.40/0.65 (define @t242 () (+ @t76 @t241 @t240 @t237 @t239 @t238 @t238 -6 @t237 @t236)) % 0.40/0.65 (define @t243 () (* -8 @t47)) % 0.40/0.65 (define @t244 () (* -2 @t47)) % 0.40/0.65 (define @t245 () (+ @t171 @t172 @t177 @t168 @t175 @t165 @t170 @t166 @t167 @t169 @t139 @t163 @t135 @t244 @t49 @t173 @t162 @t243)) % 0.40/0.65 (define @t246 () (+ (* -1 @t151) (* 4 @t189) (* -4 @t188) (* -8 @t186) (* -2 @t185) (* 2 @t184) (* 2 @t183) @t181 (* -8 @t190) (* -1 @t180))) % 0.40/0.65 (define @t247 () (= @t151 0)) % 0.40/0.65 (define @t248 () (and @t138 @t124 @t141 @t99 @t142 @t146 @t143 @t149 @t115 @t52 @t152)) % 0.40/0.65 (assume @p1 @t6) % 0.40/0.65 (assume @p2 @t7) % 0.40/0.65 (assume @p3 @t10) % 0.40/0.65 (assume @p4 @t24) % 0.40/0.65 (assume @p5 (forall @t5 (= @t25 (tptp.u0 tptp.g0 @t8)))) % 0.40/0.65 (assume @p6 @t30) % 0.40/0.65 (assume @p7 @t36) % 0.40/0.65 (assume @p8 (not (not @t43))) % 0.40/0.65 (assume @p9 true) % 0.40/0.65 (step @p10 :rule bool-double-not-elim :args (@t38)) % 0.40/0.65 (step @p11 :rule refl :args (@t44)) % 0.40/0.65 (step @p12 :rule nary_cong :premises (@p11 @p10) :args ((or @t44 (not @t39)))) % 0.40/0.65 (step @p13 :rule bool-and-de-morgan :args (@t40 @t39 true)) % 0.40/0.65 (step @p14 :rule trans :premises (@p13 @p12)) % 0.40/0.65 (step @p15 :rule cong :premises (@p14) :args (@t45)) % 0.40/0.65 (step @p16 :rule cong :premises (@p15) :args (@t46)) % 0.40/0.65 (step @p17 :rule exists-elim :args ((= @t43 @t46))) % 0.40/0.65 (step @p18 :rule 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0.40/0.65 (step @p517 :rule trans :premises (@p516 @p221)) % 0.40/0.65 (step @p518 :rule arith_mult_neg :args (-1 @t194)) % 0.40/0.65 (step @p370 :rule arith_poly_norm :args (@t193)) % 0.40/0.65 (step @p371 :rule arith_poly_norm_rel :premises (@p370) :args (@t195)) % 0.40/0.65 (step @p372 :rule symm :premises (@p371)) % 0.40/0.65 (step @p373 :rule eq_resolve :premises (@p34 @p372)) % 0.40/0.65 (step @p140 :rule evaluate :args (@t91)) % 0.40/0.65 (step @p141 :rule true_elim :premises (@p140)) % 0.40/0.65 (step @p519 :rule and_intro :premises (@p141 @p373)) % 0.40/0.65 (step @p520 :rule modus_ponens :premises (@p519 @p518)) % 0.40/0.65 (step @p521 :rule arith_mult_neg :args (-8 @t221)) % 0.40/0.65 (step @p434 :rule arith_poly_norm :args (@t222)) % 0.40/0.65 (step @p435 :rule arith_poly_norm_rel :premises (@p434) :args (@t223)) % 0.40/0.65 (step @p436 :rule symm :premises (@p435)) % 0.40/0.65 (step @p522 :rule eq_resolve :premises (@p678 @p436)) % 0.40/0.65 (step @p523 :rule evaluate :args ((< -8 0))) % 0.40/0.65 (step @p524 :rule true_elim :premises (@p523)) % 0.40/0.65 (step @p525 :rule and_intro :premises (@p524 @p522)) % 0.40/0.65 (step @p526 :rule modus_ponens :premises (@p525 @p521)) % 0.40/0.65 (step @p375 :rule arith_poly_norm :args (@t197)) % 0.40/0.65 (step @p376 :rule arith_poly_norm_rel :premises (@p375) :args (@t198)) % 0.40/0.65 (step @p377 :rule symm :premises (@p376)) % 0.40/0.65 (step @p378 :rule eq_resolve :premises (@p50 @p377)) % 0.40/0.65 (step @p527 :rule arith_mult_pos :args (2 @t199)) % 0.40/0.65 (step @p382 :rule arith_poly_norm :args (@t200)) % 0.40/0.65 (step @p383 :rule arith_poly_norm_rel :premises (@p382) :args (@t201)) % 0.40/0.65 (step @p384 :rule symm :premises (@p383)) % 0.40/0.65 (step @p528 :rule eq_resolve :premises (@p680 @p384)) % 0.40/0.65 (step @p402 :rule evaluate :args (@t209)) % 0.40/0.65 (step @p403 :rule true_elim :premises (@p402)) % 0.40/0.65 (step @p529 :rule and_intro :premises (@p403 @p528)) % 0.40/0.65 (step @p530 :rule modus_ponens :premises (@p529 @p527)) % 0.40/0.65 (step @p531 :rule arith_mult_pos :args (2 @t203)) % 0.40/0.65 (step @p391 :rule arith_poly_norm :args (@t204)) % 0.40/0.65 (step @p392 :rule arith_poly_norm_rel :premises (@p391) :args (@t205)) % 0.40/0.65 (step @p393 :rule symm :premises (@p392)) % 0.40/0.65 (step @p394 :rule eq_resolve :premises (@p51 @p393)) % 0.40/0.65 (step @p532 :rule and_intro :premises (@p403 @p394)) % 0.40/0.65 (step @p533 :rule modus_ponens :premises (@p532 @p531)) % 0.40/0.65 (step @p534 :rule arith_mult_neg :args (-2 @t206)) % 0.40/0.65 (step @p398 :rule arith_poly_norm :args (@t207)) % 0.40/0.65 (step @p399 :rule arith_poly_norm_rel :premises (@p398) :args (@t208)) % 0.40/0.65 (step @p400 :rule symm :premises (@p399)) % 0.40/0.65 (step @p401 :rule eq_resolve :premises (@p171 @p400)) % 0.40/0.65 (step @p386 :rule evaluate :args (@t202)) % 0.40/0.65 (step @p387 :rule true_elim :premises (@p386)) % 0.40/0.65 (step @p535 :rule and_intro :premises (@p387 @p401)) % 0.40/0.65 (step @p536 :rule modus_ponens :premises (@p535 @p534)) % 0.40/0.65 (step @p537 :rule arith_mult_neg :args (-8 @t210)) % 0.40/0.65 (step @p407 :rule arith_poly_norm :args (@t211)) % 0.40/0.65 (step @p408 :rule arith_poly_norm_rel :premises (@p407) :args (@t212)) % 0.40/0.65 (step @p409 :rule symm :premises (@p408)) % 0.40/0.65 (step @p410 :rule eq_resolve :premises (@p56 @p409)) % 0.40/0.65 (step @p538 :rule and_intro :premises (@p524 @p410)) % 0.40/0.65 (step @p539 :rule modus_ponens :premises (@p538 @p537)) % 0.40/0.65 (step @p540 :rule arith_mult_neg :args (-4 @t213)) % 0.40/0.65 (step @p416 :rule arith_poly_norm :args (@t214)) % 0.40/0.65 (step @p417 :rule arith_poly_norm_rel :premises (@p416) :args (@t215)) % 0.40/0.65 (step @p418 :rule symm :premises (@p417)) % 0.40/0.65 (step @p419 :rule eq_resolve :premises (@p250 @p418)) % 0.40/0.65 (step @p429 :rule evaluate :args (@t220)) % 0.40/0.65 (step @p430 :rule true_elim :premises (@p429)) % 0.40/0.65 (step @p541 :rule and_intro :premises (@p430 @p419)) % 0.40/0.65 (step @p542 :rule modus_ponens :premises (@p541 @p540)) % 0.40/0.65 (step @p543 :rule arith_mult_pos :args (4 @t217)) % 0.40/0.65 (step @p425 :rule arith_poly_norm :args (@t218)) % 0.40/0.65 (step @p426 :rule arith_poly_norm_rel :premises (@p425) :args (@t219)) % 0.40/0.65 (step @p427 :rule symm :premises (@p426)) % 0.40/0.65 (step @p544 :rule eq_resolve :premises (@p685 @p427)) % 0.40/0.65 (step @p420 :rule evaluate :args (@t216)) % 0.40/0.65 (step @p421 :rule true_elim :premises (@p420)) % 0.40/0.65 (step @p545 :rule and_intro :premises (@p421 @p544)) % 0.40/0.65 (step @p546 :rule modus_ponens :premises (@p545 @p543)) % 0.40/0.65 (step @p547 :rule arith_mult_neg :args (-1 @t235)) % 0.40/0.65 (step @p548 :rule and_intro :premises (@p141 @p688)) % 0.40/0.65 (step @p549 :rule modus_ponens :premises (@p548 @p547)) % 0.40/0.65 (step @p550 :rule arith_sum_ub :premises (@p549 @p546 @p542 @p539 @p536 @p533 @p530 @p378 @p526 @p520)) % 0.40/0.65 (step @p551 false :rule eq_resolve :premises (@p550 @p517)) % 0.40/0.65 (step-pop @p689 :rule scope :premises (@p551)) % 0.40/0.65 (step @p552 :rule process_scope :premises (@p689) :args (false)) % 0.40/0.65 (step @p554 :rule eq_resolve :premises (@p552 @p496)) % 0.40/0.65 (step @p555 :rule eq_resolve :premises (@p554 @p495)) % 0.40/0.65 (step @p556 :rule arith_poly_norm :args ((= (* 1 (- @t151 0)) (* 1 (- @t49 @t48))))) % 0.40/0.65 (step @p557 :rule arith_poly_norm_rel :premises (@p556) :args ((= @t247 @t50))) % 0.40/0.65 (step @p558 :rule cong :premises (@p557) :args ((not @t247))) % 0.40/0.65 (step @p559 :rule symm :premises (@p558)) % 0.40/0.65 (step @p560 :rule eq_resolve :premises (@p24 @p559)) % 0.40/0.65 (step @p561 :rule arith_trichotomy :premises (@p560 @p687)) % 0.40/0.65 (step @p562 :rule int_tight_lb :premises (@p561)) % 0.40/0.65 (step @p563 false :rule contra :premises (@p562 @p555)) % 0.40/0.65 (step-pop @p690 :rule scope :premises (@p563)) % 0.40/0.65 (step-pop @p691 :rule scope :premises (@p690)) % 0.40/0.65 (step-pop @p692 :rule scope :premises (@p691)) % 0.40/0.65 (step-pop @p693 :rule scope :premises (@p692)) % 0.40/0.65 (step-pop @p694 :rule scope :premises (@p693)) % 0.40/0.65 (step-pop @p695 :rule scope :premises (@p694)) % 0.40/0.65 (step-pop @p696 :rule scope :premises (@p695)) % 0.40/0.65 (step-pop @p697 :rule scope :premises (@p696)) % 0.40/0.65 (step-pop @p698 :rule scope :premises (@p697)) % 0.40/0.65 (step-pop @p699 :rule scope :premises (@p698)) % 0.40/0.65 (step-pop @p700 :rule scope :premises (@p699)) % 0.40/0.65 (step @p564 :rule process_scope :premises (@p700) :args (false)) % 0.40/0.65 (assume-push @p701 @t52) % 0.40/0.65 (assume-push @p702 @t152) % 0.40/0.65 (assume-push @p703 @t138) % 0.40/0.65 (assume-push @p704 @t141) % 0.40/0.65 (assume-push @p705 @t142) % 0.40/0.65 (assume-push @p706 @t143) % 0.40/0.65 (assume-push @p707 @t99) % 0.40/0.65 (assume-push @p708 @t146) % 0.40/0.65 (assume-push @p709 @t115) % 0.40/0.65 (assume-push @p710 @t149) % 0.40/0.65 (assume-push @p711 @t124) % 0.40/0.65 (step @p587 :rule and_intro :premises (@p34 @p711 @p50 @p707 @p51 @p171 @p56 @p250 @p709 @p24 @p702)) % 0.40/0.65 (step-pop @p712 :rule scope :premises (@p587)) % 0.40/0.65 (step-pop @p713 :rule scope :premises (@p712)) % 0.40/0.65 (step-pop @p714 :rule scope :premises (@p713)) % 0.40/0.65 (step-pop @p715 :rule scope :premises (@p714)) % 0.40/0.65 (step-pop @p716 :rule scope :premises (@p715)) % 0.40/0.65 (step-pop @p717 :rule scope :premises (@p716)) % 0.40/0.65 (step-pop @p718 :rule scope :premises (@p717)) % 0.40/0.65 (step-pop @p719 :rule scope :premises (@p718)) % 0.40/0.65 (step-pop @p720 :rule scope :premises (@p719)) % 0.40/0.65 (step-pop @p721 :rule scope :premises (@p720)) % 0.40/0.65 (step-pop @p722 :rule scope :premises (@p721)) % 0.40/0.65 (step @p588 :rule process_scope :premises (@p722) :args (@t248)) % 0.40/0.65 (step @p600 :rule implies_elim :premises (@p588)) % 0.40/0.65 (step @p601 :rule resolution :premises (@p600 @p564) :args (true @t248)) % 0.40/0.65 (step @p602 :rule not_and :premises (@p601)) % 0.40/0.65 (step @p603 :rule eq_resolve :premises (@p602 @p483)) % 0.40/0.65 (step @p604 false :rule chain_m_resolution :premises (@p603 @p471 @p306 @p250 @p249 @p171 @p166 @p56 @p51 @p50 @p34 @p24) :args (false (@list false false false false false false false false false false true) (@list @t152 @t124 @t149 @t115 @t146 @t99 @t143 @t142 @t141 @t138 @t50))) % 0.40/0.65 ) % 0.40/0.65 % SZS output end Proof % 0.40/0.65 % cvc5 exiting %------------------------------------------------------------------------------