%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SWW579_2 : TPTP v9.2.1. Released v6.1.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/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 09:05:16 AM UTC 2026 % Result : Theorem 2.33s 2.55s % Output : Proof 2.33s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SWW579_2 : TPTP v9.2.1. Released v6.1.0. % 0.12/0.14 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.18/0.35 % Computer : n019.cluster.edu % 0.18/0.35 % Model : x86_64 x86_64 % 0.18/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.18/0.35 % Memory : 8042.1875MB % 0.18/0.35 % OS : Linux 3.10.0-693.el7.x86_64 % 0.18/0.35 % CPULimit : 300 % 0.18/0.35 % WCLimit : 300 % 0.18/0.35 % DateTime : Tue Jun 2 22:17:19 EDT 2026 % 0.18/0.35 % CPUTime : % 0.27/0.51 %----Proving TF0_ARI % 2.33/2.55 --- Run --finite-model-find --decision=internal at 45... % 2.33/2.55 % SZS status Theorem % 2.33/2.55 % SZS output start Proof % 2.33/2.55 ( % 2.33/2.55 (declare-sort tptp.tuple0 0) % 2.33/2.55 (declare-sort tptp.bool 0) % 2.33/2.55 (declare-sort tptp.ty 0) % 2.33/2.55 (declare-sort tptp.uni 0) % 2.33/2.55 (declare-const tptp.min (-> Real Real Real)) % 2.33/2.55 (declare-const tptp.max (-> Real Real Real)) % 2.33/2.55 (declare-const tptp.false tptp.bool) % 2.33/2.55 (declare-const tptp.true tptp.bool) % 2.33/2.55 (declare-const tptp.match_bool (-> tptp.ty tptp.bool tptp.uni tptp.uni tptp.uni)) % 2.33/2.55 (declare-const tptp.sort (-> tptp.ty tptp.uni Bool)) % 2.33/2.55 (declare-const tptp.tuple02 tptp.tuple0) % 2.33/2.55 (declare-const tptp.witness (-> tptp.ty tptp.uni)) % 2.33/2.55 (define @t1 () (@var "A" tptp.ty)) % 2.33/2.55 (define @t2 () (@var "X2" tptp.uni)) % 2.33/2.55 (define @t3 () (@var "X1" tptp.uni)) % 2.33/2.55 (define @t4 () (@var "X" tptp.bool)) % 2.33/2.55 (define @t5 () (@var "Z" tptp.uni)) % 2.33/2.55 (define @t6 () (@var "Z1" tptp.uni)) % 2.33/2.55 (define @t7 () (@list @t1 @t5 @t6)) % 2.33/2.55 (define @t8 () (@var "U" tptp.bool)) % 2.33/2.55 (define @t9 () (@var "U" tptp.tuple0)) % 2.33/2.55 (define @t10 () (@var "Z" Real)) % 2.33/2.55 (define @t11 () (@var "Y" Real)) % 2.33/2.55 (define @t12 () (/ @t11 @t10)) % 2.33/2.55 (define @t13 () (@var "X" Real)) % 2.33/2.55 (define @t14 () (/ @t13 @t10)) % 2.33/2.55 (define @t15 () (not (= @t10 0/1))) % 2.33/2.55 (define @t16 () (@list @t13 @t11 @t10)) % 2.33/2.55 (define @t17 () (/ @t13 @t11)) % 2.33/2.55 (define @t18 () (not (= @t11 0/1))) % 2.33/2.55 (define @t19 () (@list @t13 @t11)) % 2.33/2.55 (define @t20 () (* @t11 @t10)) % 2.33/2.55 (define @t21 () (and @t18 @t15)) % 2.33/2.55 (define @t22 () (* @t13 @t10)) % 2.33/2.55 (define @t23 () (@var "Z" Int)) % 2.33/2.55 (define @t24 () (@var "Y" Int)) % 2.33/2.55 (define @t25 () (@var "X" Int)) % 2.33/2.55 (define @t26 () (tptp.max @t13 @t11)) % 2.33/2.55 (define @t27 () (= @t26 @t11)) % 2.33/2.55 (define @t28 () (= @t26 @t13)) % 2.33/2.55 (define @t29 () (or @t28 @t27)) % 2.33/2.55 (define @t30 () (forall @t19 @t29)) % 2.33/2.55 (define @t31 () (tptp.min @t13 @t11)) % 2.33/2.55 (define @t32 () (@var "Eps0" Real)) % 2.33/2.55 (define @t33 () (@var "R" Real)) % 2.33/2.55 (define @t34 () (tptp.max @t33 1/1)) % 2.33/2.55 (define @t35 () (/ @t34 @t32)) % 2.33/2.55 (define @t36 () (@var "N" Int)) % 2.33/2.55 (define @t37 () (to_real @t36)) % 2.33/2.55 (define @t38 () (* @t37 @t32)) % 2.33/2.55 (define @t39 () (/ @t38 @t32)) % 2.33/2.55 (define @t40 () (<= @t39 @t35)) % 2.33/2.55 (define @t41 () (=> @t40 (<= @t37 @t35))) % 2.33/2.55 (define @t42 () (/ 1/1 @t32)) % 2.33/2.55 (define @t43 () (* @t34 @t42)) % 2.33/2.55 (define @t44 () (* @t38 @t42)) % 2.33/2.55 (define @t45 () (<= @t44 @t43)) % 2.33/2.55 (define @t46 () (=> @t45 @t41)) % 2.33/2.55 (define @t47 () (=> (< 0/1 @t42) @t46)) % 2.33/2.55 (define @t48 () (<= @t38 @t34)) % 2.33/2.55 (define @t49 () (=> @t48 @t47)) % 2.33/2.55 (define @t50 () (@var "Eps" Real)) % 2.33/2.55 (define @t51 () (and (< @t33 @t50) (< 1/1 @t50))) % 2.33/2.55 (define @t52 () (not @t51)) % 2.33/2.55 (define @t53 () (=> @t52 @t49)) % 2.33/2.55 (define @t54 () (= @t50 @t38)) % 2.33/2.55 (define @t55 () (and (<= 0/1 @t33) (< 0/1 @t32) (<= 1 @t36) @t54)) % 2.33/2.55 (define @t56 () (=> @t55 @t53)) % 2.33/2.55 (define @t57 () (@list @t33 @t50 @t36 @t32)) % 2.33/2.55 (define @t58 () (forall @t57 @t56)) % 2.33/2.55 (define @t59 () (not @t58)) % 2.33/2.55 (define @t60 () (+ @t35 (to_real (* -1 @t36)))) % 2.33/2.55 (define @t61 () (>= @t60 0/1)) % 2.33/2.55 (define @t62 () (* @t32 @t37)) % 2.33/2.55 (define @t63 () (/ @t62 @t32)) % 2.33/2.55 (define @t64 () (+ @t35 (* -1/1 @t63))) % 2.33/2.55 (define @t65 () (>= @t64 0/1)) % 2.33/2.55 (define @t66 () (not @t65)) % 2.33/2.55 (define @t67 () (* @t34 @t42)) % 2.33/2.55 (define @t68 () (* @t32 @t42 @t37)) % 2.33/2.55 (define @t69 () (+ (* -1/1 @t68) @t67)) % 2.33/2.55 (define @t70 () (>= @t69 0/1)) % 2.33/2.55 (define @t71 () (not @t70)) % 2.33/2.55 (define @t72 () (* -1/1 @t42)) % 2.33/2.55 (define @t73 () (>= @t72 0/1)) % 2.33/2.55 (define @t74 () (* -1/1 @t62)) % 2.33/2.55 (define @t75 () (+ @t34 @t74)) % 2.33/2.55 (define @t76 () (>= @t75 0/1)) % 2.33/2.55 (define @t77 () (not @t76)) % 2.33/2.55 (define @t78 () (and (not (>= (+ @t33 @t74) 0/1)) (not (>= @t74 -1/1)))) % 2.33/2.55 (define @t79 () (>= @t36 1)) % 2.33/2.55 (define @t80 () (not @t79)) % 2.33/2.55 (define @t81 () (* -1/1 @t32)) % 2.33/2.55 (define @t82 () (>= @t81 0/1)) % 2.33/2.55 (define @t83 () (>= @t33 0/1)) % 2.33/2.55 (define @t84 () (not @t83)) % 2.33/2.55 (define @t85 () (or @t84 @t82 @t80 @t78 @t77 @t73 @t71 @t66 @t61)) % 2.33/2.55 (define @t86 () (not (= @t62 @t62))) % 2.33/2.55 (define @t87 () (or @t84 @t82 @t80 @t86 @t78 @t77 @t73 @t71 @t66 @t61)) % 2.33/2.55 (define @t88 () (@list @t33 @t36 @t32)) % 2.33/2.55 (define @t89 () (* -1/1 @t50)) % 2.33/2.55 (define @t90 () (>= @t89 -1/1)) % 2.33/2.55 (define @t91 () (+ @t33 @t89)) % 2.33/2.55 (define @t92 () (>= @t91 0/1)) % 2.33/2.55 (define @t93 () (and (not @t92) (not @t90))) % 2.33/2.55 (define @t94 () (= @t50 @t62)) % 2.33/2.55 (define @t95 () (not @t94)) % 2.33/2.55 (define @t96 () (or @t95 @t84 @t82 @t80 @t95 @t93 @t77 @t73 @t71 @t66 @t61)) % 2.33/2.55 (define @t97 () (@list @t50)) % 2.33/2.55 (define @t98 () (or @t84 @t82 @t80 @t95 @t93 @t77 @t73 @t71 @t66 @t61)) % 2.33/2.55 (define @t99 () (forall @t97 @t98)) % 2.33/2.55 (define @t100 () (forall @t88 @t99)) % 2.33/2.55 (define @t101 () (forall (@list @t33 @t36 @t32 @t50) @t98)) % 2.33/2.55 (define @t102 () (or @t93 @t77 @t73 @t71 @t66 @t61)) % 2.33/2.55 (define @t103 () (or @t77 @t73 @t71 @t66 @t61)) % 2.33/2.55 (define @t104 () (or @t73 @t71 @t66 @t61)) % 2.33/2.55 (define @t105 () (or @t71 @t66 @t61)) % 2.33/2.55 (define @t106 () (=> @t65 @t61)) % 2.33/2.55 (define @t107 () (=> @t70 @t106)) % 2.33/2.55 (define @t108 () (not @t73)) % 2.33/2.55 (define @t109 () (=> @t108 @t107)) % 2.33/2.55 (define @t110 () (=> @t76 @t109)) % 2.33/2.55 (define @t111 () (not @t93)) % 2.33/2.55 (define @t112 () (not @t82)) % 2.33/2.55 (define @t113 () (not @t112)) % 2.33/2.55 (define @t114 () (or @t84 @t113 @t80 @t95)) % 2.33/2.55 (define @t115 () (=> @t111 @t110)) % 2.33/2.55 (define @t116 () (and @t83 @t112 @t79 @t94)) % 2.33/2.55 (define @t117 () (>= 0/1 @t42)) % 2.33/2.55 (define @t118 () (>= 1/1 @t50)) % 2.33/2.55 (define @t119 () (>= @t33 @t50)) % 2.33/2.55 (define @t120 () (>= 0/1 @t32)) % 2.33/2.55 (define @t121 () (forall @t88 @t85)) % 2.33/2.55 (define @t122 () (@quantifiers_skolemize @t121 1)) % 2.33/2.55 (define @t123 () (* -1 @t122)) % 2.33/2.55 (define @t124 () (to_real @t123)) % 2.33/2.55 (define @t125 () (@quantifiers_skolemize @t121 2)) % 2.33/2.55 (define @t126 () (@quantifiers_skolemize @t121 0)) % 2.33/2.55 (define @t127 () (tptp.max @t126 1/1)) % 2.33/2.55 (define @t128 () (/_total @t127 @t125)) % 2.33/2.55 (define @t129 () @div_by_zero) % 2.33/2.55 (define @t130 () (@div_by_zero @t127)) % 2.33/2.55 (define @t131 () (= @t125 0/1)) % 2.33/2.55 (define @t132 () (ite @t131 @t130 @t128)) % 2.33/2.55 (define @t133 () (@purify @t132)) % 2.33/2.55 (define @t134 () (+ @t133 @t124)) % 2.33/2.55 (define @t135 () (>= @t134 0/1)) % 2.33/2.55 (define @t136 () (to_real @t122)) % 2.33/2.55 (define @t137 () (* @t125 @t136)) % 2.33/2.55 (define @t138 () (ite @t131 (@div_by_zero @t137) (/_total @t137 @t125))) % 2.33/2.55 (define @t139 () (@purify @t138)) % 2.33/2.55 (define @t140 () (ite @t131 (@div_by_zero 1/1) (/_total 1/1 @t125))) % 2.33/2.55 (define @t141 () (@purify @t140)) % 2.33/2.55 (define @t142 () (* -1/1 (* @t125 @t141 @t136))) % 2.33/2.55 (define @t143 () (* @t141 @t127)) % 2.33/2.55 (define @t144 () (+ @t143 @t142)) % 2.33/2.55 (define @t145 () (* -1/1 @t137)) % 2.33/2.55 (define @t146 () (+ @t145 @t127)) % 2.33/2.55 (define @t147 () (>= @t146 0/1)) % 2.33/2.55 (define @t148 () (not @t147)) % 2.33/2.55 (define @t149 () (and (not (>= (+ @t126 @t145) 0/1)) (not (>= @t145 -1/1)))) % 2.33/2.55 (define @t150 () (>= @t122 1)) % 2.33/2.55 (define @t151 () (not @t150)) % 2.33/2.55 (define @t152 () (* -1/1 @t125)) % 2.33/2.55 (define @t153 () (>= @t152 0/1)) % 2.33/2.55 (define @t154 () (>= @t126 0/1)) % 2.33/2.55 (define @t155 () (not @t154)) % 2.33/2.55 (define @t156 () (or @t155 @t153 @t151 @t149 @t148 (>= (* -1/1 @t141) 0/1) (not (>= @t144 0/1)) (not (>= (+ @t133 (* -1/1 @t139)) 0/1)) @t135)) % 2.33/2.55 (define @t157 () (not @t156)) % 2.33/2.55 (define @t158 () (not @t121)) % 2.33/2.55 (define @t159 () (= @t133 @t132)) % 2.33/2.55 (define @t160 () (/ @t127 @t125)) % 2.33/2.55 (define @t161 () (+ @t160 @t124)) % 2.33/2.55 (define @t162 () (>= @t161 0/1)) % 2.33/2.55 (define @t163 () (= @t139 @t138)) % 2.33/2.55 (define @t164 () (/ @t137 @t125)) % 2.33/2.55 (define @t165 () (* -1/1 @t164)) % 2.33/2.55 (define @t166 () (+ @t160 @t165)) % 2.33/2.55 (define @t167 () (>= @t166 0/1)) % 2.33/2.55 (define @t168 () (not @t167)) % 2.33/2.55 (define @t169 () (= @t141 @t140)) % 2.33/2.55 (define @t170 () (/ 1/1 @t125)) % 2.33/2.55 (define @t171 () (* @t127 @t170)) % 2.33/2.55 (define @t172 () (* @t125 @t170 @t136)) % 2.33/2.55 (define @t173 () (* -1/1 @t172)) % 2.33/2.55 (define @t174 () (+ @t173 @t171)) % 2.33/2.55 (define @t175 () (>= @t174 0/1)) % 2.33/2.55 (define @t176 () (not @t175)) % 2.33/2.55 (define @t177 () (* -1/1 @t170)) % 2.33/2.55 (define @t178 () (>= @t177 0/1)) % 2.33/2.55 (define @t179 () (or @t155 @t153 @t151 @t149 @t148 @t178 @t176 @t168 @t162)) % 2.33/2.55 (define @t180 () (not @t179)) % 2.33/2.55 (define @t181 () (+ @t127 @t145)) % 2.33/2.55 (define @t182 () (>= @t181 0/1)) % 2.33/2.55 (define @t183 () (not @t182)) % 2.33/2.55 (define @t184 () (or @t155 @t153 @t151 @t149 @t183 @t178 @t176 @t168 @t162)) % 2.33/2.55 (define @t185 () (not @t184)) % 2.33/2.55 (define @t186 () (@list true)) % 2.33/2.55 (define @t187 () (@list @t156)) % 2.33/2.55 (define @t188 () (not @t153)) % 2.33/2.55 (define @t189 () (and @t188 @t150)) % 2.33/2.55 (define @t190 () (not @t188)) % 2.33/2.55 (define @t191 () (@list true false)) % 2.33/2.55 (define @t192 () (>= @t145 0/1)) % 2.33/2.55 (define @t193 () (>= 0/1 @t137)) % 2.33/2.55 (define @t194 () (+ 0 1)) % 2.33/2.55 (define @t195 () (>= @t122 @t194)) % 2.33/2.55 (define @t196 () (>= 0/1 @t125)) % 2.33/2.55 (define @t197 () (> @t122 0)) % 2.33/2.55 (define @t198 () (> @t125 0/1)) % 2.33/2.55 (define @t199 () (and @t198 @t197)) % 2.33/2.55 (define @t200 () (> @t137 0/1)) % 2.33/2.55 (define @t201 () (> @t136 0/1)) % 2.33/2.55 (define @t202 () (and @t198 @t201)) % 2.33/2.55 (define @t203 () (not @t192)) % 2.33/2.55 (define @t204 () (@list false)) % 2.33/2.55 (define @t205 () (- @t125 @t137)) % 2.33/2.55 (define @t206 () (= @t125 @t137)) % 2.33/2.55 (define @t207 () (= @t137 @t125)) % 2.33/2.55 (define @t208 () (= @t122 1)) % 2.33/2.55 (define @t209 () (= (* @t125 1/1) @t125)) % 2.33/2.55 (define @t210 () (not @t131)) % 2.33/2.55 (define @t211 () (>= 0/1 0/1)) % 2.33/2.55 (define @t212 () (+ 0/1 0/1)) % 2.33/2.55 (define @t213 () (* -1/1 0/1)) % 2.33/2.55 (define @t214 () (+ 0/1 @t213)) % 2.33/2.55 (define @t215 () (+ @t125 @t152)) % 2.33/2.55 (define @t216 () (>= @t215 @t214)) % 2.33/2.55 (define @t217 () (< -1/1 0/1)) % 2.33/2.55 (define @t218 () (@purify @t128)) % 2.33/2.55 (define @t219 () (* @t125 @t218)) % 2.33/2.55 (define @t220 () (= @t127 @t219)) % 2.33/2.55 (define @t221 () (not @t210)) % 2.33/2.55 (define @t222 () (- @t127 @t219)) % 2.33/2.55 (define @t223 () (* @t125 @t218)) % 2.33/2.55 (define @t224 () (= @t223 @t127)) % 2.33/2.55 (define @t225 () (@list @t131)) % 2.33/2.55 (define @t226 () (* -1/1 @t127)) % 2.33/2.55 (define @t227 () (>= @t226 0/1)) % 2.33/2.55 (define @t228 () (not @t227)) % 2.33/2.55 (define @t229 () (not @t203)) % 2.33/2.55 (define @t230 () (+ 0/1 0/1 0/1)) % 2.33/2.55 (define @t231 () (+ 0/1 @t213 0/1)) % 2.33/2.55 (define @t232 () (+ @t145 @t226 @t127 @t137)) % 2.33/2.55 (define @t233 () (+ @t137 @t226)) % 2.33/2.55 (define @t234 () (+ @t127 @t145 @t233)) % 2.33/2.55 (define @t235 () (>= @t234 @t231)) % 2.33/2.55 (define @t236 () (= (* 1/1 (- 0/1 @t233)) (* 1/1 (- @t146 0/1)))) % 2.33/2.55 (define @t237 () (>= 0/1 @t233)) % 2.33/2.55 (define @t238 () (= @t237 @t147)) % 2.33/2.55 (define @t239 () (= (* -1/1 (- 0/1 @t127)) (* -1/1 (- @t226 0/1)))) % 2.33/2.55 (define @t240 () (>= 0/1 @t127)) % 2.33/2.55 (define @t241 () (= @t240 @t227)) % 2.33/2.55 (define @t242 () (@list false true)) % 2.33/2.55 (define @t243 () (* -1/1 @t219)) % 2.33/2.55 (define @t244 () (+ @t145 @t243)) % 2.33/2.55 (define @t245 () (>= @t244 0/1)) % 2.33/2.55 (define @t246 () (not @t245)) % 2.33/2.55 (define @t247 () (not @t220)) % 2.33/2.55 (define @t248 () (not @t206)) % 2.33/2.55 (define @t249 () (+ 0/1 @t213 0/1 @t213 0/1)) % 2.33/2.55 (define @t250 () (+ @t152 @t226 @t243 @t219 @t127 @t145 @t137 @t125)) % 2.33/2.55 (define @t251 () (+ @t127 @t243)) % 2.33/2.55 (define @t252 () (+ @t125 @t145)) % 2.33/2.55 (define @t253 () (+ @t137 @t219)) % 2.33/2.55 (define @t254 () (+ @t253 @t152 @t252 @t226 @t251)) % 2.33/2.55 (define @t255 () (>= @t254 @t249)) % 2.33/2.55 (define @t256 () (= (* 1/1 (- @t251 0/1)) (* 1/1 @t222))) % 2.33/2.55 (define @t257 () (= (= @t251 0/1) @t220)) % 2.33/2.55 (define @t258 () (* -1/1 (- @t244 0/1))) % 2.33/2.55 (define @t259 () (= (* -1/1 (- 0/1 @t253)) @t258)) % 2.33/2.55 (define @t260 () (>= 0/1 @t253)) % 2.33/2.55 (define @t261 () (= @t260 @t245)) % 2.33/2.55 (define @t262 () (= @t122 0)) % 2.33/2.55 (define @t263 () (not @t262)) % 2.33/2.55 (define @t264 () (>= @t253 0/1)) % 2.33/2.55 (define @t265 () (< @t253 0/1)) % 2.33/2.55 (define @t266 () (* 0/1 @t137)) % 2.33/2.55 (define @t267 () (= @t266 0/1)) % 2.33/2.55 (define @t268 () (* 0/1 @t219)) % 2.33/2.55 (define @t269 () (= @t268 0/1)) % 2.33/2.55 (define @t270 () (+ @t268 @t266)) % 2.33/2.55 (define @t271 () (+ @t253 (* -1/1 @t253))) % 2.33/2.55 (define @t272 () (>= @t271 @t214)) % 2.33/2.55 (define @t273 () (= @t133 @t128)) % 2.33/2.55 (define @t274 () (= @t133 @t130)) % 2.33/2.55 (define @t275 () (= @t132 @t128)) % 2.33/2.55 (define @t276 () (= @t132 @t130)) % 2.33/2.55 (define @t277 () (= @t133 @t218)) % 2.33/2.55 (define @t278 () (not @t135)) % 2.33/2.55 (define @t279 () (+ @t218 @t124)) % 2.33/2.55 (define @t280 () (>= @t279 0/1)) % 2.33/2.55 (define @t281 () (not @t280)) % 2.33/2.55 (define @t282 () (not @t277)) % 2.33/2.55 (define @t283 () (+ @t213 0/1 @t213)) % 2.33/2.55 (define @t284 () (* -1/1 @t218)) % 2.33/2.55 (define @t285 () (* 0 @t122)) % 2.33/2.55 (define @t286 () (to_real @t285)) % 2.33/2.55 (define @t287 () (* 0/1 @t133)) % 2.33/2.55 (define @t288 () (+ @t218 @t284 @t287 @t286)) % 2.33/2.55 (define @t289 () (+ @t133 @t284)) % 2.33/2.55 (define @t290 () (+ (* -1/1 @t279) @t134 (* -1/1 @t289))) % 2.33/2.55 (define @t291 () (>= @t290 @t283)) % 2.33/2.55 (define @t292 () (= @t289 0/1)) % 2.33/2.55 (define @t293 () (>= @t219 0/1)) % 2.33/2.55 (define @t294 () (= @t126 @t127)) % 2.33/2.55 (define @t295 () (not @t294)) % 2.33/2.55 (define @t296 () (not @t293)) % 2.33/2.55 (define @t297 () (not @t296)) % 2.33/2.55 (define @t298 () (< @t219 0/1)) % 2.33/2.55 (define @t299 () (+ 0/1 @t213 0/1 0/1)) % 2.33/2.55 (define @t300 () (* -1/1 @t126)) % 2.33/2.55 (define @t301 () (+ @t300 @t243 @t226 @t219 @t127 @t126)) % 2.33/2.55 (define @t302 () (+ @t126 @t226)) % 2.33/2.55 (define @t303 () (+ @t219 @t300 @t251 @t302)) % 2.33/2.55 (define @t304 () (>= @t303 @t299)) % 2.33/2.55 (define @t305 () (and @t294 @t220 @t154 @t296)) % 2.33/2.55 (define @t306 () (= @t11 @t26)) % 2.33/2.55 (define @t307 () (= @t13 @t26)) % 2.33/2.55 (define @t308 () (= @t127 1/1)) % 2.33/2.55 (define @t309 () (= 1/1 @t127)) % 2.33/2.55 (define @t310 () (or @t294 @t309)) % 2.33/2.55 (define @t311 () (forall @t19 (or @t307 @t306))) % 2.33/2.55 (define @t312 () (or @t294 @t308)) % 2.33/2.55 (define @t313 () (not @t308)) % 2.33/2.55 (define @t314 () (* -1/1 1/1)) % 2.33/2.55 (define @t315 () (+ @t314 0/1 0/1)) % 2.33/2.55 (define @t316 () (+ @t226 @t243 @t219 @t127)) % 2.33/2.55 (define @t317 () (+ @t226 @t251 @t219)) % 2.33/2.55 (define @t318 () (>= @t317 @t315)) % 2.33/2.55 (define @t319 () (and @t296 @t220 @t308)) % 2.33/2.55 (define @t320 () (and @t198 (< @t218 0/1))) % 2.33/2.55 (define @t321 () (>= @t218 0/1)) % 2.33/2.55 (define @t322 () (not @t321)) % 2.33/2.55 (define @t323 () (and @t188 @t322)) % 2.33/2.55 (define @t324 () (not @t323)) % 2.33/2.55 (define @t325 () (@list true true)) % 2.33/2.55 (define @t326 () (+ @t284 @t124)) % 2.33/2.55 (define @t327 () (>= @t326 0/1)) % 2.33/2.55 (define @t328 () (ite @t321 @t281 (not @t327))) % 2.33/2.55 (define @t329 () (>= @t122 0)) % 2.33/2.55 (define @t330 () (not @t329)) % 2.33/2.55 (define @t331 () (not @t330)) % 2.33/2.55 (define @t332 () (+ -1 1)) % 2.33/2.55 (define @t333 () (>= @t122 @t332)) % 2.33/2.55 (define @t334 () (not @t333)) % 2.33/2.55 (define @t335 () (<= @t122 -1)) % 2.33/2.55 (define @t336 () (not @t335)) % 2.33/2.55 (define @t337 () (not (>= -1 @t122))) % 2.33/2.55 (define @t338 () (not (> @t122 -1))) % 2.33/2.55 (define @t339 () (<= 0 -2)) % 2.33/2.55 (define @t340 () (* -1 1)) % 2.33/2.55 (define @t341 () (+ -1 @t340)) % 2.33/2.55 (define @t342 () (+ @t122 @t123)) % 2.33/2.55 (define @t343 () (= @t342 0)) % 2.33/2.55 (define @t344 () (< -1 0)) % 2.33/2.55 (define @t345 () (and @t330 @t150)) % 2.33/2.55 (define @t346 () (+ @t284 @t136)) % 2.33/2.55 (define @t347 () (>= @t346 0/1)) % 2.33/2.55 (define @t348 () (+ @t218 @t136)) % 2.33/2.55 (define @t349 () (>= @t348 0/1)) % 2.33/2.55 (define @t350 () (ite @t329 @t328 (ite @t321 (not @t349) (not @t347)))) % 2.33/2.55 (define @t351 () (@list false false)) % 2.33/2.55 (define @t352 () (not @t350)) % 2.33/2.55 (define @t353 () (and @t350 @t263 @t210)) % 2.33/2.55 (define @t354 () (+ @t137 @t243)) % 2.33/2.55 (define @t355 () (>= @t354 0/1)) % 2.33/2.55 (define @t356 () (not @t264)) % 2.33/2.55 (define @t357 () (ite @t293 @t356 (not @t355))) % 2.33/2.55 (define @t358 () (- @t219)) % 2.33/2.55 (define @t359 () (- @t137)) % 2.33/2.55 (define @t360 () (<= @t359 @t358)) % 2.33/2.55 (define @t361 () (<= @t359 @t219)) % 2.33/2.55 (define @t362 () (ite @t293 (> @t359 @t219) (> @t359 @t358))) % 2.33/2.55 (define @t363 () (<= @t137 @t358)) % 2.33/2.55 (define @t364 () (+ @t145 @t219)) % 2.33/2.55 (define @t365 () (* -1/1 (- @t364 0/1))) % 2.33/2.55 (define @t366 () (>= @t364 0/1)) % 2.33/2.55 (define @t367 () (>= @t219 @t137)) % 2.33/2.55 (define @t368 () (ite @t293 (> @t137 @t219) (> @t137 @t358))) % 2.33/2.55 (define @t369 () (>= @t137 0/1)) % 2.33/2.55 (define @t370 () (ite @t369 @t368 @t362)) % 2.33/2.55 (define @t371 () (- @t218)) % 2.33/2.55 (define @t372 () (* -1/1 @t136)) % 2.33/2.55 (define @t373 () (- @t136)) % 2.33/2.55 (define @t374 () (<= @t373 @t371)) % 2.33/2.55 (define @t375 () (<= @t373 @t218)) % 2.33/2.55 (define @t376 () (ite @t321 (> @t373 @t218) (> @t373 @t371))) % 2.33/2.55 (define @t377 () (<= @t136 @t371)) % 2.33/2.55 (define @t378 () (>= @t218 @t136)) % 2.33/2.55 (define @t379 () (ite @t321 (> @t136 @t218) (> @t136 @t371))) % 2.33/2.55 (define @t380 () (>= @t136 0/1)) % 2.33/2.55 (define @t381 () (ite @t380 @t379 @t376)) % 2.33/2.55 (define @t382 () (and @t381 @t263 @t210)) % 2.33/2.55 (define @t383 () (abs @t219)) % 2.33/2.55 (define @t384 () (abs @t137)) % 2.33/2.55 (define @t385 () (+ (* -1/1 @t384) @t383)) % 2.33/2.55 (define @t386 () (>= @t383 @t384)) % 2.33/2.55 (define @t387 () (* @t218 @t125)) % 2.33/2.55 (define @t388 () (abs @t387)) % 2.33/2.55 (define @t389 () (* @t136 @t125)) % 2.33/2.55 (define @t390 () (abs @t389)) % 2.33/2.55 (define @t391 () (<= @t390 @t388)) % 2.33/2.55 (define @t392 () (not @t366)) % 2.33/2.55 (define @t393 () (ite @t293 @t392 @t246)) % 2.33/2.55 (define @t394 () (ite @t369 @t393 @t357)) % 2.33/2.55 (define @t395 () (<= @t233 0/1)) % 2.33/2.55 (define @t396 () (+ 0/1 0/1 @t213)) % 2.33/2.55 (define @t397 () (+ @t268 @t226 @t127 @t266)) % 2.33/2.55 (define @t398 () (+ @t233 @t251 (* -1/1 @t354))) % 2.33/2.55 (define @t399 () (>= @t398 @t396)) % 2.33/2.55 (define @t400 () (>= 0/1 @t354)) % 2.33/2.55 (define @t401 () (and @t392 @t220 @t147)) % 2.33/2.55 (define @t402 () (not @t393)) % 2.33/2.55 (define @t403 () (not @t394)) % 2.33/2.55 (define @t404 () (not @t208)) % 2.33/2.55 (define @t405 () (>= @t122 2)) % 2.33/2.55 (define @t406 () (and @t150 @t404)) % 2.33/2.55 (define @t407 () (* -1 2)) % 2.33/2.55 (define @t408 () (+ 0 @t407)) % 2.33/2.55 (define @t409 () (and @t262 @t405)) % 2.33/2.55 (define @t410 () (not @t405)) % 2.33/2.55 (define @t411 () (+ -1 @t407)) % 2.33/2.55 (define @t412 () (and @t330 @t405)) % 2.33/2.55 (define @t413 () (not @t369)) % 2.33/2.55 (define @t414 () (< @t137 0/1)) % 2.33/2.55 (define @t415 () (+ @t137 @t145)) % 2.33/2.55 (define @t416 () (>= @t415 @t214)) % 2.33/2.55 (define @t417 () (and @t413 @t203)) % 2.33/2.55 (assume @p1 (forall (@list @t1) (tptp.sort @t1 (tptp.witness @t1)))) % 2.33/2.55 (assume @p2 (forall (@list @t1 @t4 @t3 @t2) (tptp.sort @t1 (tptp.match_bool @t1 @t4 @t3 @t2)))) % 2.33/2.55 (assume @p3 (forall @t7 (=> (tptp.sort @t1 @t5) (= (tptp.match_bool @t1 tptp.true @t5 @t6) @t5)))) % 2.33/2.55 (assume @p4 (forall @t7 (=> (tptp.sort @t1 @t6) (= (tptp.match_bool @t1 tptp.false @t5 @t6) @t6)))) % 2.33/2.55 (assume @p5 (not (= tptp.true tptp.false))) % 2.33/2.55 (assume @p6 (forall (@list @t8) (or (= @t8 tptp.true) (= @t8 tptp.false)))) % 2.33/2.55 (assume @p7 (forall (@list @t9) (= @t9 tptp.tuple02))) % 2.33/2.55 (assume @p8 (forall @t16 (=> @t15 (= (/ (+ @t13 @t11) @t10) (+ @t14 @t12))))) % 2.33/2.55 (assume @p9 (forall @t16 (=> @t15 (= (/ (- @t13 @t11) @t10) (- @t14 @t12))))) % 2.33/2.55 (assume @p10 (forall @t19 (=> @t18 (= (/ (- @t13) @t11) (- @t17))))) % 2.33/2.55 (assume @p11 (forall @t16 (=> @t15 (= (/ (* @t13 @t11) @t10) (* @t13 @t12))))) % 2.33/2.55 (assume @p12 (forall @t16 (=> @t21 (= (/ @t17 @t10) (/ @t13 @t20))))) % 2.33/2.55 (assume @p13 (forall @t16 (=> @t21 (= (/ @t13 @t12) (/ @t22 @t11))))) % 2.33/2.55 (assume @p14 (forall @t16 (=> (<= @t13 @t11) (=> (<= 0/1 @t10) (<= @t22 @t20))))) % 2.33/2.55 (assume @p15 (forall (@list @t25 @t24 @t23) (=> (<= @t25 @t24) (=> (<= 0 @t23) (<= (* @t25 @t23) (* @t24 @t23)))))) % 2.33/2.55 (assume @p16 (forall @t19 (and (<= @t13 @t26) (<= @t11 @t26)))) % 2.33/2.55 (assume @p17 @t30) % 2.33/2.55 (assume @p18 (forall @t19 (and (<= @t31 @t13) (<= @t31 @t11)))) % 2.33/2.55 (assume @p19 (forall @t19 (or (= @t31 @t13) (= @t31 @t11)))) % 2.33/2.55 (assume @p20 @t59) % 2.33/2.55 (assume @p21 true) % 2.33/2.55 (step @p22 :rule aci_norm :args ((= (or @t84 @t82 @t80 false @t78 @t77 @t73 @t71 @t66 @t61) @t85))) % 2.33/2.55 (step @p23 :rule refl :args (@t61)) % 2.33/2.55 (step @p24 :rule refl :args (@t66)) % 2.33/2.55 (step @p25 :rule refl :args (@t71)) % 2.33/2.55 (step @p26 :rule refl :args (@t73)) % 2.33/2.55 (step @p27 :rule refl :args (@t77)) % 2.33/2.55 (step @p28 :rule refl :args (@t78)) % 2.33/2.55 (step @p29 :rule evaluate :args ((not true))) % 2.33/2.55 (step @p30 :rule eq-refl :args (@t62)) % 2.33/2.55 (step @p31 :rule cong :premises (@p30) :args (@t86)) % 2.33/2.55 (step @p32 :rule trans :premises (@p31 @p29)) % 2.33/2.55 (step @p33 :rule refl :args (@t80)) % 2.33/2.55 (step @p34 :rule refl :args (@t82)) % 2.33/2.55 (step @p35 :rule refl :args (@t84)) % 2.33/2.55 (step @p36 :rule nary_cong :premises (@p35 @p34 @p33 @p32 @p28 @p27 @p26 @p25 @p24 @p23) :args (@t87)) % 2.33/2.55 (step @p37 :rule trans :premises (@p36 @p22)) % 2.33/2.55 (step @p38 :rule cong :premises (@p37) :args ((forall @t88 @t87))) % 2.33/2.55 (step @p39 :rule quant-var-elim-eq :args ((= (forall @t97 @t96) @t87))) % 2.33/2.55 (step @p40 :rule aci_norm :args ((= @t98 @t96))) % 2.33/2.55 (step @p41 :rule cong :premises (@p40) :args (@t99)) % 2.33/2.55 (step @p42 :rule trans :premises (@p41 @p39)) % 2.33/2.55 (step @p43 :rule cong :premises (@p42) :args (@t100)) % 2.33/2.55 (step @p44 :rule quant-merge-prenex :args ((= @t100 @t101))) % 2.33/2.55 (step @p45 :rule symm :premises (@p44)) % 2.33/2.55 (step @p46 :rule quant_var_reordering :args ((= (forall @t57 @t98) @t101))) % 2.33/2.55 (step @p47 :rule trans :premises (@p46 @p45 @p43)) % 2.33/2.55 (step @p48 :rule trans :premises (@p47 @p38)) % 2.33/2.55 (step @p49 :rule aci_norm :args ((= (or (or @t84 @t82 @t80 @t95) @t102) @t98))) % 2.33/2.55 (step @p50 :rule aci_norm :args ((= (or @t93 @t103) @t102))) % 2.33/2.55 (step @p51 :rule aci_norm :args ((= (or @t77 @t104) @t103))) % 2.33/2.55 (step @p52 :rule aci_norm :args ((= (or @t73 @t105) @t104))) % 2.33/2.55 (step @p53 :rule aci_norm :args ((= (or @t71 (or @t66 @t61)) @t105))) % 2.33/2.55 (step @p54 :rule bool-impl-elim :args (@t65 @t61)) % 2.33/2.55 (step @p55 :rule refl :args (@t71)) % 2.33/2.55 (step @p56 :rule nary_cong :premises (@p55 @p54) :args ((or @t71 @t106))) % 2.33/2.55 (step @p57 :rule trans :premises (@p56 @p53)) % 2.33/2.55 (step @p58 :rule bool-impl-elim :args (@t70 @t106)) % 2.33/2.55 (step @p59 :rule trans :premises (@p58 @p57)) % 2.33/2.55 (step @p60 :rule refl :args (@t73)) % 2.33/2.55 (step @p61 :rule nary_cong :premises (@p60 @p59) :args ((or @t73 @t107))) % 2.33/2.55 (step @p62 :rule trans :premises (@p61 @p52)) % 2.33/2.55 (step @p63 :rule refl :args (@t107)) % 2.33/2.55 (step @p64 :rule bool-double-not-elim :args (@t73)) % 2.33/2.55 (step @p65 :rule nary_cong :premises (@p64 @p63) :args ((or (not @t108) @t107))) % 2.33/2.55 (step @p66 :rule bool-impl-elim :args (@t108 @t107)) % 2.33/2.55 (step @p67 :rule trans :premises (@p66 @p65)) % 2.33/2.55 (step @p68 :rule trans :premises (@p67 @p62)) % 2.33/2.55 (step @p69 :rule refl :args (@t77)) % 2.33/2.55 (step @p70 :rule nary_cong :premises (@p69 @p68) :args ((or @t77 @t109))) % 2.33/2.55 (step @p71 :rule trans :premises (@p70 @p51)) % 2.33/2.55 (step @p72 :rule bool-impl-elim :args (@t76 @t109)) % 2.33/2.55 (step @p73 :rule trans :premises (@p72 @p71)) % 2.33/2.55 (step @p74 :rule refl :args (@t93)) % 2.33/2.55 (step @p75 :rule nary_cong :premises (@p74 @p73) :args ((or @t93 @t110))) % 2.33/2.55 (step @p76 :rule trans :premises (@p75 @p50)) % 2.33/2.55 (step @p77 :rule refl :args (@t110)) % 2.33/2.55 (step @p78 :rule bool-double-not-elim :args (@t93)) % 2.33/2.55 (step @p79 :rule nary_cong :premises (@p78 @p77) :args ((or (not @t111) @t110))) % 2.33/2.55 (step @p80 :rule bool-impl-elim :args (@t111 @t110)) % 2.33/2.55 (step @p81 :rule trans :premises (@p80 @p79)) % 2.33/2.55 (step @p82 :rule trans :premises (@p81 @p76)) % 2.33/2.55 (step @p83 :rule refl :args (@t95)) % 2.33/2.55 (step @p84 :rule refl :args (@t80)) % 2.33/2.55 (step @p85 :rule bool-double-not-elim :args (@t82)) % 2.33/2.55 (step @p86 :rule refl :args (@t84)) % 2.33/2.55 (step @p87 :rule nary_cong :premises (@p86 @p85 @p84 @p83) :args (@t114)) % 2.33/2.55 (step @p88 :rule aci_norm :args ((= (or @t84 (or @t113 (or @t80 @t95))) @t114))) % 2.33/2.55 (step @p89 :rule trans :premises (@p88 @p87)) % 2.33/2.55 (step @p90 :rule bool-and-de-morgan :args (@t79 @t94 true)) % 2.33/2.55 (step @p91 :rule refl :args (@t113)) % 2.33/2.55 (step @p92 :rule nary_cong :premises (@p91 @p90) :args ((or @t113 (not (and @t79 @t94))))) % 2.33/2.55 (step @p93 :rule bool-and-de-morgan :args (@t112 @t79 (and @t94))) % 2.33/2.55 (step @p94 :rule trans :premises (@p93 @p92)) % 2.33/2.55 (step @p95 :rule nary_cong :premises (@p86 @p94) :args ((or @t84 (not (and @t112 @t79 @t94))))) % 2.33/2.55 (step @p96 :rule bool-and-de-morgan :args (@t83 @t112 (and @t79 @t94))) % 2.33/2.55 (step @p97 :rule trans :premises (@p96 @p95)) % 2.33/2.55 (step @p98 :rule trans :premises (@p97 @p89)) % 2.33/2.55 (step @p99 :rule nary_cong :premises (@p98 @p82) :args ((or (not @t116) @t115))) % 2.33/2.55 (step @p100 :rule trans :premises (@p99 @p49)) % 2.33/2.55 (step @p101 :rule bool-impl-elim :args (@t116 @t115)) % 2.33/2.55 (step @p102 :rule trans :premises (@p101 @p100)) % 2.33/2.55 (step @p103 :rule cong :premises (@p102) :args ((forall @t57 (=> @t116 @t115)))) % 2.33/2.55 (step @p104 :rule trans :premises (@p103 @p48)) % 2.33/2.55 (step @p105 :rule arith_poly_norm :args ((= (* -1/1 (- @t35 @t37)) (* -1/1 (- @t60 0/1))))) % 2.33/2.55 (step @p106 :rule arith_poly_norm_rel :premises (@p105) :args ((= (>= @t35 @t37) @t61))) % 2.33/2.55 (step @p107 :rule arith-elim-leq :args (@t37 @t35)) % 2.33/2.55 (step @p108 :rule trans :premises (@p107 @p106)) % 2.33/2.55 (step @p109 :rule arith_poly_norm :args ((= (* 1/1 (- @t35 @t63)) (* 1/1 (- @t64 0/1))))) % 2.33/2.55 (step @p110 :rule arith_poly_norm_rel :premises (@p109) :args ((= (>= @t35 @t63) @t65))) % 2.33/2.55 (step @p111 :rule arith-elim-leq :args (@t63 @t35)) % 2.33/2.55 (step @p112 :rule trans :premises (@p111 @p110)) % 2.33/2.55 (step @p113 :rule refl :args (@t35)) % 2.33/2.55 (step @p114 :rule refl :args (@t32)) % 2.33/2.55 (step @p115 :rule arith_poly_norm :args ((= @t38 @t62))) % 2.33/2.55 (step @p116 :rule cong :premises (@p115 @p114) :args (@t39)) % 2.33/2.55 (step @p117 :rule cong :premises (@p116 @p113) :args (@t40)) % 2.33/2.55 (step @p118 :rule trans :premises (@p117 @p112)) % 2.33/2.55 (step @p119 :rule cong :premises (@p118 @p108) :args (@t41)) % 2.33/2.55 (step @p120 :rule arith_poly_norm :args ((= (* -1/1 (- @t67 @t68)) (* -1/1 (- @t69 0/1))))) % 2.33/2.55 (step @p121 :rule arith_poly_norm_rel :premises (@p120) :args ((= (>= @t67 @t68) @t70))) % 2.33/2.55 (step @p122 :rule arith-elim-leq :args (@t68 @t67)) % 2.33/2.55 (step @p123 :rule trans :premises (@p122 @p121)) % 2.33/2.55 (step @p124 :rule arith_poly_norm :args ((= @t43 @t67))) % 2.33/2.55 (step @p125 :rule arith_poly_norm :args ((= (* @t62 @t42) @t68))) % 2.33/2.55 (step @p126 :rule refl :args (@t42)) % 2.33/2.55 (step @p127 :rule nary_cong :premises (@p115 @p126) :args (@t44)) % 2.33/2.55 (step @p128 :rule trans :premises (@p127 @p125)) % 2.33/2.55 (step @p129 :rule cong :premises (@p128 @p124) :args (@t45)) % 2.33/2.55 (step @p130 :rule trans :premises (@p129 @p123)) % 2.33/2.55 (step @p131 :rule cong :premises (@p130 @p119) :args (@t46)) % 2.33/2.55 (step @p132 :rule arith_poly_norm :args ((= (* -1/1 (- 0/1 @t42)) (* -1/1 (- @t72 0/1))))) % 2.33/2.55 (step @p133 :rule arith_poly_norm_rel :premises (@p132) :args ((= @t117 @t73))) % 2.33/2.55 (step @p134 :rule cong :premises (@p133) :args ((not @t117))) % 2.33/2.55 (step @p135 :rule arith-elim-lt :args (0/1 @t42)) % 2.33/2.55 (step @p136 :rule trans :premises (@p135 @p134)) % 2.33/2.55 (step @p137 :rule cong :premises (@p136 @p131) :args (@t47)) % 2.33/2.55 (step @p138 :rule arith_poly_norm :args ((= (* 1/1 (- @t34 @t62)) (* 1/1 (- @t75 0/1))))) % 2.33/2.55 (step @p139 :rule arith_poly_norm_rel :premises (@p138) :args ((= (>= @t34 @t62) @t76))) % 2.33/2.55 (step @p140 :rule arith-elim-leq :args (@t62 @t34)) % 2.33/2.55 (step @p141 :rule trans :premises (@p140 @p139)) % 2.33/2.55 (step @p142 :rule refl :args (@t34)) % 2.33/2.55 (step @p143 :rule cong :premises (@p115 @p142) :args (@t48)) % 2.33/2.55 (step @p144 :rule trans :premises (@p143 @p141)) % 2.33/2.55 (step @p145 :rule cong :premises (@p144 @p137) :args (@t49)) % 2.33/2.55 (step @p146 :rule arith_poly_norm :args ((= (* 1/1 (- 1/1 @t50)) (* 1/1 (- @t89 -1/1))))) % 2.33/2.55 (step @p147 :rule arith_poly_norm_rel :premises (@p146) :args ((= @t118 @t90))) % 2.33/2.55 (step @p148 :rule cong :premises (@p147) :args ((not @t118))) % 2.33/2.55 (step @p149 :rule arith-elim-lt :args (1/1 @t50)) % 2.33/2.55 (step @p150 :rule trans :premises (@p149 @p148)) % 2.33/2.55 (step @p151 :rule arith_poly_norm :args ((= (* 1/1 (- @t33 @t50)) (* 1/1 (- @t91 0/1))))) % 2.33/2.55 (step @p152 :rule arith_poly_norm_rel :premises (@p151) :args ((= @t119 @t92))) % 2.33/2.55 (step @p153 :rule cong :premises (@p152) :args ((not @t119))) % 2.33/2.55 (step @p154 :rule arith-elim-lt :args (@t33 @t50)) % 2.33/2.55 (step @p155 :rule trans :premises (@p154 @p153)) % 2.33/2.55 (step @p156 :rule nary_cong :premises (@p155 @p150) :args (@t51)) % 2.33/2.55 (step @p157 :rule cong :premises (@p156) :args (@t52)) % 2.33/2.55 (step @p158 :rule cong :premises (@p157 @p145) :args (@t53)) % 2.33/2.55 (step @p159 :rule refl :args (@t50)) % 2.33/2.55 (step @p160 :rule cong :premises (@p159 @p115) :args (@t54)) % 2.33/2.55 (step @p161 :rule arith-elim-leq :args (1 @t36)) % 2.33/2.55 (step @p162 :rule arith_poly_norm :args ((= (* -1/1 (- 0/1 @t32)) (* -1/1 (- @t81 0/1))))) % 2.33/2.55 (step @p163 :rule arith_poly_norm_rel :premises (@p162) :args ((= @t120 @t82))) % 2.33/2.55 (step @p164 :rule cong :premises (@p163) :args ((not @t120))) % 2.33/2.55 (step @p165 :rule arith-elim-lt :args (0/1 @t32)) % 2.33/2.55 (step @p166 :rule trans :premises (@p165 @p164)) % 2.33/2.55 (step @p167 :rule arith-elim-leq :args (0/1 @t33)) % 2.33/2.55 (step @p168 :rule nary_cong :premises (@p167 @p166 @p161 @p160) :args (@t55)) % 2.33/2.55 (step @p169 :rule cong :premises (@p168 @p158) :args (@t56)) % 2.33/2.55 (step @p170 :rule cong :premises (@p169) :args (@t58)) % 2.33/2.55 (step @p171 :rule trans :premises (@p170 @p104)) % 2.33/2.55 (step @p172 :rule cong :premises (@p171) :args (@t59)) % 2.33/2.55 (step @p173 :rule eq_resolve :premises (@p20 @p172)) % 2.33/2.55 (step @p174 :rule refl :args (@t157)) % 2.33/2.55 (step @p175 :rule bool-double-not-elim :args (@t121)) % 2.33/2.55 (step @p176 :rule nary_cong :premises (@p175 @p174) :args ((or (not @t158) @t157))) % 2.33/2.55 (step @p177 :rule refl :args (0/1)) % 2.33/2.55 (step @p178 :rule refl :args (@t124)) % 2.33/2.55 (step @p179 :rule eq-refl :args (@t132)) % 2.33/2.55 (step @p180 :rule refl :args (@t132)) % 2.33/2.55 (step @p181 :rule skolem_intro :args (@t133)) % 2.33/2.55 (step @p182 :rule cong :premises (@p181 @p180) :args (@t159)) % 2.33/2.55 (step @p183 :rule arith_poly_norm :args ((= (* -1/1 (- @t132 @t133)) (* 1/1 (- @t133 @t132))))) % 2.33/2.55 (step @p184 :rule arith_poly_norm_rel :premises (@p183) :args ((= (= @t132 @t133) @t159))) % 2.33/2.55 (step @p185 :rule trans :premises (@p184 @p182 @p179)) % 2.33/2.55 (step @p186 :rule true_elim :premises (@p185)) % 2.33/2.55 (step @p187 :rule arith_reduction :args (@t160)) % 2.33/2.55 (step @p188 :rule trans :premises (@p187 @p186)) % 2.33/2.55 (step @p189 :rule nary_cong :premises (@p188 @p178) :args (@t161)) % 2.33/2.55 (step @p190 :rule cong :premises (@p189 @p177) :args (@t162)) % 2.33/2.55 (step @p191 :rule refl :args (0/1)) % 2.33/2.55 (step @p192 :rule eq-refl :args (@t138)) % 2.33/2.55 (step @p193 :rule refl :args (@t138)) % 2.33/2.55 (step @p194 :rule skolem_intro :args (@t139)) % 2.33/2.55 (step @p195 :rule cong :premises (@p194 @p193) :args (@t163)) % 2.33/2.55 (step @p196 :rule arith_poly_norm :args ((= (* -1/1 (- @t138 @t139)) (* 1/1 (- @t139 @t138))))) % 2.33/2.55 (step @p197 :rule arith_poly_norm_rel :premises (@p196) :args ((= (= @t138 @t139) @t163))) % 2.33/2.55 (step @p198 :rule trans :premises (@p197 @p195 @p192)) % 2.33/2.55 (step @p199 :rule true_elim :premises (@p198)) % 2.33/2.55 (step @p200 :rule arith_reduction :args (@t164)) % 2.33/2.55 (step @p201 :rule trans :premises (@p200 @p199)) % 2.33/2.55 (step @p202 :rule refl :args (-1/1)) % 2.33/2.55 (step @p203 :rule nary_cong :premises (@p202 @p201) :args (@t165)) % 2.33/2.55 (step @p204 :rule nary_cong :premises (@p188 @p203) :args (@t166)) % 2.33/2.55 (step @p205 :rule cong :premises (@p204 @p191) :args (@t167)) % 2.33/2.55 (step @p206 :rule cong :premises (@p205) :args (@t168)) % 2.33/2.55 (step @p207 :rule refl :args (0/1)) % 2.33/2.55 (step @p208 :rule arith_poly_norm :args ((= (+ @t142 @t143) @t144))) % 2.33/2.55 (step @p209 :rule arith_poly_norm :args ((= (* @t127 @t141) @t143))) % 2.33/2.55 (step @p210 :rule eq-refl :args (@t140)) % 2.33/2.55 (step @p211 :rule refl :args (@t140)) % 2.33/2.55 (step @p212 :rule skolem_intro :args (@t141)) % 2.33/2.55 (step @p213 :rule cong :premises (@p212 @p211) :args (@t169)) % 2.33/2.55 (step @p214 :rule arith_poly_norm :args ((= (* -1/1 (- @t140 @t141)) (* 1/1 (- @t141 @t140))))) % 2.33/2.55 (step @p215 :rule arith_poly_norm_rel :premises (@p214) :args ((= (= @t140 @t141) @t169))) % 2.33/2.55 (step @p216 :rule trans :premises (@p215 @p213 @p210)) % 2.33/2.55 (step @p217 :rule true_elim :premises (@p216)) % 2.33/2.55 (step @p218 :rule arith_reduction :args (@t170)) % 2.33/2.55 (step @p219 :rule trans :premises (@p218 @p217)) % 2.33/2.55 (step @p220 :rule refl :args (@t127)) % 2.33/2.55 (step @p221 :rule nary_cong :premises (@p220 @p219) :args (@t171)) % 2.33/2.55 (step @p222 :rule trans :premises (@p221 @p209)) % 2.33/2.55 (step @p223 :rule refl :args (@t136)) % 2.33/2.55 (step @p224 :rule refl :args (@t125)) % 2.33/2.55 (step @p225 :rule nary_cong :premises (@p224 @p219 @p223) :args (@t172)) % 2.33/2.55 (step @p226 :rule refl :args (-1/1)) % 2.33/2.55 (step @p227 :rule nary_cong :premises (@p226 @p225) :args (@t173)) % 2.33/2.55 (step @p228 :rule nary_cong :premises (@p227 @p222) :args (@t174)) % 2.33/2.55 (step @p229 :rule trans :premises (@p228 @p208)) % 2.33/2.55 (step @p230 :rule cong :premises (@p229 @p207) :args (@t175)) % 2.33/2.55 (step @p231 :rule cong :premises (@p230) :args (@t176)) % 2.33/2.55 (step @p232 :rule refl :args (0/1)) % 2.33/2.55 (step @p233 :rule refl :args (-1/1)) % 2.33/2.55 (step @p234 :rule nary_cong :premises (@p233 @p219) :args (@t177)) % 2.33/2.55 (step @p235 :rule cong :premises (@p234 @p232) :args (@t178)) % 2.33/2.55 (step @p236 :rule refl :args (@t148)) % 2.33/2.55 (step @p237 :rule refl :args (@t149)) % 2.33/2.55 (step @p238 :rule refl :args (@t151)) % 2.33/2.55 (step @p239 :rule refl :args (@t153)) % 2.33/2.55 (step @p240 :rule refl :args (@t155)) % 2.33/2.55 (step @p241 :rule nary_cong :premises (@p240 @p239 @p238 @p237 @p236 @p235 @p231 @p206 @p190) :args (@t179)) % 2.33/2.55 (step @p242 :rule cong :premises (@p241) :args (@t180)) % 2.33/2.55 (step @p243 :rule refl :args (@t158)) % 2.33/2.55 (step @p244 :rule cong :premises (@p243 @p242) :args ((=> @t158 @t180))) % 2.33/2.55 (step @p245 :rule refl :args (@t162)) % 2.33/2.55 (step @p246 :rule refl :args (@t168)) % 2.33/2.55 (step @p247 :rule refl :args (@t176)) % 2.33/2.55 (step @p248 :rule refl :args (@t178)) % 2.33/2.55 (step @p249 :rule refl :args (0/1)) % 2.33/2.55 (step @p250 :rule arith_poly_norm :args ((= @t181 @t146))) % 2.33/2.55 (step @p251 :rule cong :premises (@p250 @p249) :args (@t182)) % 2.33/2.55 (step @p252 :rule cong :premises (@p251) :args (@t183)) % 2.33/2.55 (step @p253 :rule nary_cong :premises (@p240 @p239 @p238 @p237 @p252 @p248 @p247 @p246 @p245) :args (@t184)) % 2.33/2.55 (step @p254 :rule cong :premises (@p253) :args (@t185)) % 2.33/2.55 (step @p255 :rule cong :premises (@p243 @p254) :args ((=> @t158 @t185))) % 2.33/2.55 (step @p256 :rule trans :premises (@p255 @p244)) % 2.33/2.55 (assume-push @p1244 @t158) % 2.33/2.55 (step @p258 :rule skolemize :premises (@p173)) % 2.33/2.55 (step-pop @p1245 :rule scope :premises (@p258)) % 2.33/2.55 (step @p259 :rule process_scope :premises (@p1245) :args (@t185)) % 2.33/2.55 (step @p261 :rule eq_resolve :premises (@p259 @p256)) % 2.33/2.55 (step @p262 :rule implies_elim :premises (@p261)) % 2.33/2.55 (step @p263 :rule eq_resolve :premises (@p262 @p176)) % 2.33/2.55 (step @p264 :rule chain_m_resolution :premises (@p263 @p173) :args (@t157 @t186 (@list @t121))) % 2.33/2.55 (step @p265 :rule bool-double-not-elim :args (@t150)) % 2.33/2.55 (step @p266 :rule refl :args (@t156)) % 2.33/2.55 (step @p267 :rule nary_cong :premises (@p266 @p265) :args ((or @t156 (not @t151)))) % 2.33/2.55 (step @p268 :rule cnf_or_neg :args (@t156 2)) % 2.33/2.55 (step @p269 :rule eq_resolve :premises (@p268 @p267)) % 2.33/2.55 (step @p270 :rule reordering :premises (@p269) :args ((or @t150 @t156))) % 2.33/2.55 (step @p271 :rule chain_m_resolution :premises (@p270 @p264) :args (@t150 @t186 @t187)) % 2.33/2.55 (step @p272 :rule cnf_or_neg :args (@t156 1)) % 2.33/2.55 (step @p273 :rule chain_m_resolution :premises (@p272 @p264) :args (@t188 @t186 @t187)) % 2.33/2.55 (step @p274 :rule bool-double-not-elim :args (@t153)) % 2.33/2.55 (step @p275 :rule refl :args (@t189)) % 2.33/2.55 (step @p276 :rule nary_cong :premises (@p275 @p274 @p238) :args ((or @t189 @t190 @t151))) % 2.33/2.55 (step @p277 :rule cnf_and_neg :args (@t189)) % 2.33/2.55 (step @p278 :rule eq_resolve :premises (@p277 @p276)) % 2.33/2.55 (step @p279 :rule reordering :premises (@p278) :args ((or @t153 @t151 @t189))) % 2.33/2.55 (step @p280 :rule chain_m_resolution :premises (@p279 @p273 @p271) :args (@t189 @t191 (@list @t153 @t150))) % 2.33/2.55 (step @p281 :rule arith_poly_norm :args ((= (* -1/1 (- 0/1 @t137)) (* -1/1 (- @t145 0/1))))) % 2.33/2.55 (step @p282 :rule arith_poly_norm_rel :premises (@p281) :args ((= @t193 @t192))) % 2.33/2.55 (step @p283 :rule arith-elim-leq :args (@t137 0/1)) % 2.33/2.55 (step @p284 :rule trans :premises (@p283 @p282)) % 2.33/2.55 (step @p285 :rule cong :premises (@p284) :args ((not (<= @t137 0/1)))) % 2.33/2.55 (step @p286 :rule symm :premises (@p283)) % 2.33/2.55 (step @p287 :rule cong :premises (@p286) :args ((not @t193))) % 2.33/2.55 (step @p288 :rule arith-elim-gt :args (@t137 0/1)) % 2.33/2.55 (step @p289 :rule trans :premises (@p288 @p287)) % 2.33/2.55 (step @p290 :rule trans :premises (@p289 @p285)) % 2.33/2.55 (step @p291 :rule evaluate :args (@t194)) % 2.33/2.55 (step @p292 :rule refl :args (@t122)) % 2.33/2.55 (step @p293 :rule cong :premises (@p292 @p291) :args (@t195)) % 2.33/2.55 (step @p294 :rule cong :premises (@p293) :args ((not @t195))) % 2.33/2.55 (step @p295 :rule arith-leq-norm :args (@t122 0)) % 2.33/2.55 (step @p296 :rule trans :premises (@p295 @p294)) % 2.33/2.55 (step @p297 :rule cong :premises (@p296) :args ((not (<= @t122 0)))) % 2.33/2.55 (step @p298 :rule trans :premises (@p297 @p265)) % 2.33/2.55 (step @p299 :rule arith-elim-leq :args (@t122 0)) % 2.33/2.55 (step @p300 :rule symm :premises (@p299)) % 2.33/2.55 (step @p301 :rule cong :premises (@p300) :args ((not (>= 0 @t122)))) % 2.33/2.55 (step @p302 :rule arith-elim-gt :args (@t122 0)) % 2.33/2.55 (step @p303 :rule trans :premises (@p302 @p301)) % 2.33/2.55 (step @p304 :rule trans :premises (@p303 @p298)) % 2.33/2.55 (step @p305 :rule arith_poly_norm :args ((= (* -1/1 (- 0/1 @t125)) (* -1/1 (- @t152 0/1))))) % 2.33/2.55 (step @p306 :rule arith_poly_norm_rel :premises (@p305) :args ((= @t196 @t153))) % 2.33/2.55 (step @p307 :rule arith-elim-leq :args (@t125 0/1)) % 2.33/2.55 (step @p308 :rule trans :premises (@p307 @p306)) % 2.33/2.55 (step @p309 :rule cong :premises (@p308) :args ((not (<= @t125 0/1)))) % 2.33/2.55 (step @p310 :rule symm :premises (@p307)) % 2.33/2.55 (step @p311 :rule cong :premises (@p310) :args ((not @t196))) % 2.33/2.55 (step @p312 :rule arith-elim-gt :args (@t125 0/1)) % 2.33/2.55 (step @p313 :rule trans :premises (@p312 @p311)) % 2.33/2.55 (step @p314 :rule trans :premises (@p313 @p309)) % 2.33/2.55 (step @p315 :rule nary_cong :premises (@p314 @p304) :args (@t199)) % 2.33/2.55 (step @p316 :rule cong :premises (@p315 @p290) :args ((=> @t199 @t200))) % 2.33/2.55 (step @p317 :rule refl :args (@t200)) % 2.33/2.55 (step @p318 :rule arith_poly_norm :args ((= (* 1/1 (- @t136 0/1)) (* 1/1 (to_real (- @t122 0)))))) % 2.33/2.55 (step @p319 :rule arith_poly_norm_rel :premises (@p318) :args ((= @t201 @t197))) % 2.33/2.55 (step @p320 :rule refl :args (@t198)) % 2.33/2.55 (step @p321 :rule nary_cong :premises (@p320 @p319) :args (@t202)) % 2.33/2.55 (step @p322 :rule cong :premises (@p321 @p317) :args ((=> @t202 @t200))) % 2.33/2.55 (step @p323 :rule arith_mult_sign :args (@t202 @t137)) % 2.33/2.55 (step @p324 :rule eq_resolve :premises (@p323 @p322)) % 2.33/2.55 (step @p325 :rule eq_resolve :premises (@p324 @p316)) % 2.33/2.55 (step @p326 :rule implies_elim :premises (@p325)) % 2.33/2.55 (step @p327 :rule reordering :premises (@p326) :args ((or @t203 (not @t189)))) % 2.33/2.55 (step @p328 :rule chain_m_resolution :premises (@p327 @p280) :args (@t203 @t204 (@list @t189))) % 2.33/2.55 (step @p329 :rule arith_poly_norm :args ((= (* 1/1 (- @t137 @t125)) (* -1/1 @t205)))) % 2.33/2.55 (step @p330 :rule arith_poly_norm_rel :premises (@p329) :args ((= @t207 @t206))) % 2.33/2.55 (step @p331 :rule refl :args (@t208)) % 2.33/2.55 (step @p332 :rule cong :premises (@p331 @p330) :args ((=> @t208 @t207))) % 2.33/2.55 (assume-push @p1246 @t208) % 2.33/2.55 (step @p334 :rule eq-refl :args (@t125)) % 2.33/2.55 (step @p335 :rule arith_poly_norm :args (@t209)) % 2.33/2.55 (step @p336 :rule cong :premises (@p335 @p224) :args (@t209)) % 2.33/2.55 (step @p337 :rule trans :premises (@p336 @p334)) % 2.33/2.55 (step @p338 :rule evaluate :args ((to_real 1))) % 2.33/2.55 (step @p339 :rule cong :premises (@p1246) :args (@t136)) % 2.33/2.55 (step @p340 :rule trans :premises (@p339 @p338)) % 2.33/2.55 (step @p341 :rule nary_cong :premises (@p224 @p340) :args (@t137)) % 2.33/2.55 (step @p342 :rule cong :premises (@p341 @p224) :args (@t207)) % 2.33/2.55 (step @p343 :rule trans :premises (@p342 @p337)) % 2.33/2.55 (step @p344 :rule true_elim :premises (@p343)) % 2.33/2.55 (step-pop @p1247 :rule scope :premises (@p344)) % 2.33/2.55 (step @p345 :rule process_scope :premises (@p1247) :args (@t207)) % 2.33/2.55 (step @p347 :rule eq_resolve :premises (@p345 @p332)) % 2.33/2.55 (step @p348 :rule implies_elim :premises (@p347)) % 2.33/2.55 (step @p349 :rule refl :args (@t210)) % 2.33/2.55 (step @p350 :rule nary_cong :premises (@p274 @p349) :args ((or @t190 @t210))) % 2.33/2.55 (assume-push @p1248 @t188) % 2.33/2.55 (assume-push @p1249 @t188) % 2.33/2.55 (assume-push @p1250 @t131) % 2.33/2.55 (step @p354 :rule evaluate :args (@t211)) % 2.33/2.55 (step @p355 :rule evaluate :args (@t212)) % 2.33/2.55 (step @p356 :rule evaluate :args (@t213)) % 2.33/2.55 (step @p357 :rule refl :args (0/1)) % 2.33/2.55 (step @p358 :rule nary_cong :premises (@p357 @p356) :args (@t214)) % 2.33/2.55 (step @p359 :rule trans :premises (@p358 @p355)) % 2.33/2.55 (step @p360 :rule arith_poly_norm :args ((= @t215 0/1))) % 2.33/2.55 (step @p361 :rule cong :premises (@p360 @p359) :args (@t216)) % 2.33/2.55 (step @p362 :rule trans :premises (@p361 @p354)) % 2.33/2.55 (step @p363 :rule cong :premises (@p362) :args ((not @t216))) % 2.33/2.55 (step @p364 :rule trans :premises (@p363 @p29)) % 2.33/2.55 (step @p365 :rule arith-elim-lt :args (@t215 @t214)) % 2.33/2.55 (step @p366 :rule trans :premises (@p365 @p364)) % 2.33/2.55 (step @p367 :rule arith_mult_neg :args (-1/1 @t198)) % 2.33/2.55 (step @p368 :rule symm :premises (@p314)) % 2.33/2.55 (step @p369 :rule eq_resolve :premises (@p273 @p368)) % 2.33/2.55 (step @p370 :rule evaluate :args (@t217)) % 2.33/2.55 (step @p371 :rule true_elim :premises (@p370)) % 2.33/2.55 (step @p372 :rule and_intro :premises (@p371 @p369)) % 2.33/2.55 (step @p373 :rule modus_ponens :premises (@p372 @p367)) % 2.33/2.55 (step @p374 :rule arith_sum_ub :premises (@p1250 @p373)) % 2.33/2.55 (step @p375 false :rule eq_resolve :premises (@p374 @p366)) % 2.33/2.55 (step-pop @p1251 :rule scope :premises (@p375)) % 2.33/2.55 (step @p376 :rule process_scope :premises (@p1251) :args (false)) % 2.33/2.55 (step-pop @p1252 :rule scope :premises (@p376)) % 2.33/2.55 (step @p378 :rule process_scope :premises (@p1252) :args (@t210)) % 2.33/2.55 (step @p380 :rule modus_ponens :premises (@p273 @p378)) % 2.33/2.55 (step-pop @p1253 :rule scope :premises (@p380)) % 2.33/2.55 (step @p381 :rule process_scope :premises (@p1253) :args (@t210)) % 2.33/2.55 (step @p383 :rule implies_elim :premises (@p381)) % 2.33/2.55 (step @p384 :rule eq_resolve :premises (@p383 @p350)) % 2.33/2.55 (step @p385 :rule chain_m_resolution :premises (@p384 @p273) :args (@t210 @t186 (@list @t153))) % 2.33/2.55 (step @p386 :rule refl :args (@t220)) % 2.33/2.55 (step @p387 :rule bool-double-not-elim :args (@t131)) % 2.33/2.55 (step @p388 :rule nary_cong :premises (@p387 @p386) :args ((or @t221 @t220))) % 2.33/2.55 (step @p389 :rule arith_poly_norm :args ((= (* 1/1 (- @t219 @t127)) (* -1/1 @t222)))) % 2.33/2.55 (step @p390 :rule arith_poly_norm_rel :premises (@p389) :args ((= (= @t219 @t127) @t220))) % 2.33/2.55 (step @p391 :rule arith_poly_norm :args ((= @t223 @t219))) % 2.33/2.55 (step @p392 :rule cong :premises (@p391 @p220) :args (@t224)) % 2.33/2.55 (step @p393 :rule trans :premises (@p392 @p390)) % 2.33/2.55 (step @p394 :rule cong :premises (@p349 @p393) :args ((=> @t210 @t224))) % 2.33/2.55 (step @p395 :rule arith_reduction :args (@t128)) % 2.33/2.55 (step @p396 :rule and_elim :premises (@p395) :args (1)) % 2.33/2.55 (step @p397 :rule eq_resolve :premises (@p396 @p394)) % 2.33/2.55 (step @p398 :rule implies_elim :premises (@p397)) % 2.33/2.55 (step @p399 :rule eq_resolve :premises (@p398 @p388)) % 2.33/2.55 (step @p400 :rule chain_m_resolution :premises (@p399 @p385) :args (@t220 @t186 @t225)) % 2.33/2.55 (step @p401 :rule bool-double-not-elim :args (@t147)) % 2.33/2.55 (step @p402 :rule nary_cong :premises (@p266 @p401) :args ((or @t156 (not @t148)))) % 2.33/2.55 (step @p403 :rule cnf_or_neg :args (@t156 4)) % 2.33/2.55 (step @p404 :rule eq_resolve :premises (@p403 @p402)) % 2.33/2.55 (step @p405 :rule reordering :premises (@p404) :args ((or @t147 @t156))) % 2.33/2.55 (step @p406 :rule chain_m_resolution :premises (@p405 @p264) :args (@t147 @t186 @t187)) % 2.33/2.55 (step @p407 :rule refl :args (@t228)) % 2.33/2.55 (step @p408 :rule bool-double-not-elim :args (@t192)) % 2.33/2.55 (step @p409 :rule nary_cong :premises (@p408 @p236 @p407) :args ((or @t229 @t148 @t228))) % 2.33/2.55 (assume-push @p1254 @t203) % 2.33/2.55 (assume-push @p1255 @t147) % 2.33/2.55 (assume-push @p1256 @t227) % 2.33/2.55 (step @p354 :rule evaluate :args (@t211)) % 2.33/2.55 (step @p413 :rule evaluate :args (@t230)) % 2.33/2.55 (step @p357 :rule refl :args (0/1)) % 2.33/2.55 (step @p356 :rule evaluate :args (@t213)) % 2.33/2.55 (step @p414 :rule nary_cong :premises (@p357 @p356 @p357) :args (@t231)) % 2.33/2.55 (step @p415 :rule trans :premises (@p414 @p413)) % 2.33/2.55 (step @p416 :rule arith_poly_norm :args ((= @t232 0/1))) % 2.33/2.55 (step @p417 :rule arith_poly_norm :args ((= @t234 @t232))) % 2.33/2.55 (step @p418 :rule trans :premises (@p417 @p416)) % 2.33/2.55 (step @p419 :rule cong :premises (@p418 @p415) :args (@t235)) % 2.33/2.55 (step @p420 :rule trans :premises (@p419 @p354)) % 2.33/2.55 (step @p421 :rule cong :premises (@p420) :args ((not @t235))) % 2.33/2.55 (step @p422 :rule trans :premises (@p421 @p29)) % 2.33/2.55 (step @p423 :rule arith-elim-lt :args (@t234 @t231)) % 2.33/2.55 (step @p424 :rule trans :premises (@p423 @p422)) % 2.33/2.55 (step @p425 :rule arith_poly_norm :args (@t236)) % 2.33/2.55 (step @p426 :rule arith_poly_norm_rel :premises (@p425) :args (@t238)) % 2.33/2.55 (step @p427 :rule arith-elim-leq :args (@t233 0/1)) % 2.33/2.55 (step @p428 :rule trans :premises (@p427 @p426)) % 2.33/2.55 (step @p429 :rule symm :premises (@p428)) % 2.33/2.55 (step @p430 :rule eq_resolve :premises (@p406 @p429)) % 2.33/2.55 (step @p431 :rule arith_mult_neg :args (-1/1 @t200)) % 2.33/2.55 (step @p432 :rule symm :premises (@p290)) % 2.33/2.55 (step @p433 :rule eq_resolve :premises (@p328 @p432)) % 2.33/2.55 (step @p370 :rule evaluate :args (@t217)) % 2.33/2.55 (step @p371 :rule true_elim :premises (@p370)) % 2.33/2.55 (step @p434 :rule and_intro :premises (@p371 @p433)) % 2.33/2.55 (step @p435 :rule modus_ponens :premises (@p434 @p431)) % 2.33/2.55 (step @p436 :rule arith_poly_norm :args (@t239)) % 2.33/2.55 (step @p437 :rule arith_poly_norm_rel :premises (@p436) :args (@t241)) % 2.33/2.55 (step @p438 :rule arith-elim-leq :args (@t127 0/1)) % 2.33/2.55 (step @p439 :rule trans :premises (@p438 @p437)) % 2.33/2.55 (step @p440 :rule symm :premises (@p439)) % 2.33/2.55 (step @p441 :rule eq_resolve :premises (@p1256 @p440)) % 2.33/2.55 (step @p442 :rule arith_sum_ub :premises (@p441 @p435 @p430)) % 2.33/2.55 (step @p443 false :rule eq_resolve :premises (@p442 @p424)) % 2.33/2.55 (step-pop @p1257 :rule scope :premises (@p443)) % 2.33/2.55 (step-pop @p1258 :rule scope :premises (@p1257)) % 2.33/2.55 (step-pop @p1259 :rule scope :premises (@p1258)) % 2.33/2.55 (step @p444 :rule process_scope :premises (@p1259) :args (false)) % 2.33/2.55 (step @p448 :rule not_and :premises (@p444)) % 2.33/2.55 (step @p449 :rule eq_resolve :premises (@p448 @p409)) % 2.33/2.55 (step @p450 :rule reordering :premises (@p449) :args ((or @t148 @t228 @t192))) % 2.33/2.55 (step @p451 :rule chain_m_resolution :premises (@p450 @p406 @p328) :args (@t228 @t242 (@list @t147 @t192))) % 2.33/2.55 (step @p452 :rule refl :args (@t246)) % 2.33/2.55 (step @p453 :rule refl :args (@t247)) % 2.33/2.55 (step @p454 :rule bool-double-not-elim :args (@t227)) % 2.33/2.55 (step @p455 :rule refl :args (@t248)) % 2.33/2.55 (step @p456 :rule nary_cong :premises (@p274 @p455 @p454 @p453 @p452) :args ((or @t190 @t248 (not @t228) @t247 @t246))) % 2.33/2.55 (assume-push @p1260 @t188) % 2.33/2.55 (assume-push @p1261 @t206) % 2.33/2.55 (assume-push @p1262 @t228) % 2.33/2.55 (assume-push @p1263 @t220) % 2.33/2.55 (assume-push @p1264 @t245) % 2.33/2.55 (step @p354 :rule evaluate :args (@t211)) % 2.33/2.55 (step @p462 :rule evaluate :args ((+ 0/1 0/1 0/1 0/1 0/1))) % 2.33/2.55 (step @p357 :rule refl :args (0/1)) % 2.33/2.55 (step @p356 :rule evaluate :args (@t213)) % 2.33/2.55 (step @p463 :rule nary_cong :premises (@p357 @p356 @p357 @p356 @p357) :args (@t249)) % 2.33/2.55 (step @p464 :rule trans :premises (@p463 @p462)) % 2.33/2.55 (step @p465 :rule arith_poly_norm :args ((= @t250 0/1))) % 2.33/2.55 (step @p466 :rule arith_poly_norm :args ((= @t254 @t250))) % 2.33/2.55 (step @p467 :rule trans :premises (@p466 @p465)) % 2.33/2.55 (step @p468 :rule cong :premises (@p467 @p464) :args (@t255)) % 2.33/2.55 (step @p469 :rule trans :premises (@p468 @p354)) % 2.33/2.55 (step @p470 :rule cong :premises (@p469) :args ((not @t255))) % 2.33/2.55 (step @p471 :rule trans :premises (@p470 @p29)) % 2.33/2.55 (step @p472 :rule arith-elim-lt :args (@t254 @t249)) % 2.33/2.55 (step @p473 :rule trans :premises (@p472 @p471)) % 2.33/2.55 (step @p474 :rule arith_poly_norm :args (@t256)) % 2.33/2.55 (step @p475 :rule arith_poly_norm_rel :premises (@p474) :args (@t257)) % 2.33/2.55 (step @p476 :rule symm :premises (@p475)) % 2.33/2.55 (step @p477 :rule eq_resolve :premises (@p1263 @p476)) % 2.33/2.55 (step @p478 :rule arith_mult_neg :args (-1/1 (> @t127 0/1))) % 2.33/2.55 (step @p436 :rule arith_poly_norm :args (@t239)) % 2.33/2.55 (step @p437 :rule arith_poly_norm_rel :premises (@p436) :args (@t241)) % 2.33/2.55 (step @p438 :rule arith-elim-leq :args (@t127 0/1)) % 2.33/2.55 (step @p439 :rule trans :premises (@p438 @p437)) % 2.33/2.55 (step @p479 :rule cong :premises (@p439) :args ((not (<= @t127 0/1)))) % 2.33/2.55 (step @p480 :rule symm :premises (@p438)) % 2.33/2.55 (step @p481 :rule cong :premises (@p480) :args ((not @t240))) % 2.33/2.55 (step @p482 :rule arith-elim-gt :args (@t127 0/1)) % 2.33/2.55 (step @p483 :rule trans :premises (@p482 @p481)) % 2.33/2.55 (step @p484 :rule trans :premises (@p483 @p479)) % 2.33/2.55 (step @p485 :rule symm :premises (@p484)) % 2.33/2.55 (step @p486 :rule eq_resolve :premises (@p1262 @p485)) % 2.33/2.55 (step @p370 :rule evaluate :args (@t217)) % 2.33/2.55 (step @p371 :rule true_elim :premises (@p370)) % 2.33/2.55 (step @p487 :rule and_intro :premises (@p371 @p486)) % 2.33/2.55 (step @p488 :rule modus_ponens :premises (@p487 @p478)) % 2.33/2.55 (step @p489 :rule arith_poly_norm :args ((= (* 1/1 (- @t252 0/1)) (* 1/1 @t205)))) % 2.33/2.55 (step @p490 :rule arith_poly_norm_rel :premises (@p489) :args ((= (= @t252 0/1) @t206))) % 2.33/2.55 (step @p491 :rule symm :premises (@p490)) % 2.33/2.55 (step @p492 :rule eq_resolve :premises (@p1261 @p491)) % 2.33/2.55 (step @p367 :rule arith_mult_neg :args (-1/1 @t198)) % 2.33/2.55 (step @p368 :rule symm :premises (@p314)) % 2.33/2.55 (step @p369 :rule eq_resolve :premises (@p273 @p368)) % 2.33/2.55 (step @p372 :rule and_intro :premises (@p371 @p369)) % 2.33/2.55 (step @p373 :rule modus_ponens :premises (@p372 @p367)) % 2.33/2.55 (step @p493 :rule arith_poly_norm :args (@t259)) % 2.33/2.55 (step @p494 :rule arith_poly_norm_rel :premises (@p493) :args (@t261)) % 2.33/2.55 (step @p495 :rule arith-elim-leq :args (@t253 0/1)) % 2.33/2.55 (step @p496 :rule trans :premises (@p495 @p494)) % 2.33/2.55 (step @p497 :rule symm :premises (@p496)) % 2.33/2.55 (step @p498 :rule eq_resolve :premises (@p1264 @p497)) % 2.33/2.55 (step @p499 :rule arith_sum_ub :premises (@p498 @p373 @p492 @p488 @p477)) % 2.33/2.55 (step @p500 false :rule eq_resolve :premises (@p499 @p473)) % 2.33/2.55 (step-pop @p1265 :rule scope :premises (@p500)) % 2.33/2.55 (step-pop @p1266 :rule scope :premises (@p1265)) % 2.33/2.55 (step-pop @p1267 :rule scope :premises (@p1266)) % 2.33/2.55 (step-pop @p1268 :rule scope :premises (@p1267)) % 2.33/2.55 (step-pop @p1269 :rule scope :premises (@p1268)) % 2.33/2.55 (step @p501 :rule process_scope :premises (@p1269) :args (false)) % 2.33/2.55 (step @p507 :rule not_and :premises (@p501)) % 2.33/2.55 (step @p508 :rule eq_resolve :premises (@p507 @p456)) % 2.33/2.55 (step @p509 :rule reordering :premises (@p508) :args ((or @t153 @t247 @t227 @t248 @t246))) % 2.33/2.55 (assume-push @p1270 @t208) % 2.33/2.55 (assume-push @p1271 @t208) % 2.33/2.55 (step @p512 :rule evaluate :args ((= 1 0))) % 2.33/2.55 (step @p513 :rule refl :args (0)) % 2.33/2.55 (step @p514 :rule cong :premises (@p1270 @p513) :args (@t262)) % 2.33/2.55 (step @p515 :rule trans :premises (@p514 @p512)) % 2.33/2.55 (step @p516 :rule false_elim :premises (@p515)) % 2.33/2.55 (step-pop @p1272 :rule scope :premises (@p516)) % 2.33/2.55 (step @p517 :rule process_scope :premises (@p1272) :args (@t263)) % 2.33/2.55 (step @p519 :rule modus_ponens :premises (@p1270 @p517)) % 2.33/2.55 (step-pop @p1273 :rule scope :premises (@p519)) % 2.33/2.55 (step @p520 :rule process_scope :premises (@p1273) :args (@t263)) % 2.33/2.55 (step @p522 :rule implies_elim :premises (@p520)) % 2.33/2.55 (step @p523 :rule refl :args (@t264)) % 2.33/2.55 (step @p524 :rule bool-double-not-elim :args (@t245)) % 2.33/2.55 (step @p525 :rule nary_cong :premises (@p524 @p523) :args ((or (not @t246) @t264))) % 2.33/2.55 (assume-push @p1274 @t246) % 2.33/2.55 (assume-push @p1275 @t246) % 2.33/2.55 (step @p528 :rule bool-double-not-elim :args (@t264)) % 2.33/2.55 (step @p529 :rule arith-elim-lt :args (@t253 0/1)) % 2.33/2.55 (step @p530 :rule cong :premises (@p529) :args ((not @t265))) % 2.33/2.55 (step @p531 :rule trans :premises (@p530 @p528)) % 2.33/2.55 (assume-push @p1276 @t265) % 2.33/2.55 (step @p354 :rule evaluate :args (@t211)) % 2.33/2.55 (step @p355 :rule evaluate :args (@t212)) % 2.33/2.55 (step @p356 :rule evaluate :args (@t213)) % 2.33/2.55 (step @p357 :rule refl :args (0/1)) % 2.33/2.55 (step @p358 :rule nary_cong :premises (@p357 @p356) :args (@t214)) % 2.33/2.55 (step @p359 :rule trans :premises (@p358 @p355)) % 2.33/2.55 (step @p533 :rule arith_poly_norm :args (@t267)) % 2.33/2.55 (step @p534 :rule arith_poly_norm :args (@t269)) % 2.33/2.55 (step @p535 :rule nary_cong :premises (@p534 @p533) :args (@t270)) % 2.33/2.55 (step @p536 :rule trans :premises (@p535 @p355)) % 2.33/2.55 (step @p537 :rule arith_poly_norm :args ((= @t271 @t270))) % 2.33/2.55 (step @p538 :rule trans :premises (@p537 @p536)) % 2.33/2.55 (step @p539 :rule cong :premises (@p538 @p359) :args (@t272)) % 2.33/2.55 (step @p540 :rule trans :premises (@p539 @p354)) % 2.33/2.55 (step @p541 :rule cong :premises (@p540) :args ((not @t272))) % 2.33/2.55 (step @p542 :rule trans :premises (@p541 @p29)) % 2.33/2.55 (step @p543 :rule arith-elim-lt :args (@t271 @t214)) % 2.33/2.55 (step @p544 :rule trans :premises (@p543 @p542)) % 2.33/2.55 (step @p545 :rule arith_mult_neg :args (-1/1 (> @t253 0/1))) % 2.33/2.55 (step @p493 :rule arith_poly_norm :args (@t259)) % 2.33/2.55 (step @p494 :rule arith_poly_norm_rel :premises (@p493) :args (@t261)) % 2.33/2.55 (step @p495 :rule arith-elim-leq :args (@t253 0/1)) % 2.33/2.55 (step @p496 :rule trans :premises (@p495 @p494)) % 2.33/2.55 (step @p546 :rule cong :premises (@p496) :args ((not (<= @t253 0/1)))) % 2.33/2.55 (step @p547 :rule symm :premises (@p495)) % 2.33/2.55 (step @p548 :rule cong :premises (@p547) :args ((not @t260))) % 2.33/2.55 (step @p549 :rule arith-elim-gt :args (@t253 0/1)) % 2.33/2.55 (step @p550 :rule trans :premises (@p549 @p548)) % 2.33/2.55 (step @p551 :rule trans :premises (@p550 @p546)) % 2.33/2.55 (step @p552 :rule symm :premises (@p551)) % 2.33/2.55 (step @p553 :rule eq_resolve :premises (@p1274 @p552)) % 2.33/2.55 (step @p370 :rule evaluate :args (@t217)) % 2.33/2.55 (step @p371 :rule true_elim :premises (@p370)) % 2.33/2.55 (step @p554 :rule and_intro :premises (@p371 @p553)) % 2.33/2.55 (step @p555 :rule modus_ponens :premises (@p554 @p545)) % 2.33/2.55 (step @p556 :rule arith_sum_ub :premises (@p1276 @p555)) % 2.33/2.55 (step @p557 false :rule eq_resolve :premises (@p556 @p544)) % 2.33/2.55 (step-pop @p1277 :rule scope :premises (@p557)) % 2.33/2.55 (step @p558 :rule process_scope :premises (@p1277) :args (false)) % 2.33/2.55 (step @p560 :rule eq_resolve :premises (@p558 @p531)) % 2.33/2.55 (step-pop @p1278 :rule scope :premises (@p560)) % 2.33/2.55 (step @p561 :rule process_scope :premises (@p1278) :args (@t264)) % 2.33/2.55 (step @p563 :rule modus_ponens :premises (@p1274 @p561)) % 2.33/2.55 (step-pop @p1279 :rule scope :premises (@p563)) % 2.33/2.55 (step @p564 :rule process_scope :premises (@p1279) :args (@t264)) % 2.33/2.55 (step @p566 :rule implies_elim :premises (@p564)) % 2.33/2.55 (step @p567 :rule eq_resolve :premises (@p566 @p525)) % 2.33/2.55 (step @p568 :rule and_elim :premises (@p395) :args (0)) % 2.33/2.55 (step @p569 :rule refl :args (@t133)) % 2.33/2.55 (step @p570 :rule cong :premises (@p569 @p568) :args (@t273)) % 2.33/2.55 (step @p571 :rule refl :args (@t274)) % 2.33/2.55 (step @p572 :rule refl :args (@t131)) % 2.33/2.55 (step @p573 :rule cong :premises (@p572 @p571 @p570) :args ((ite @t131 @t274 @t273))) % 2.33/2.55 (step @p574 :rule refl :args (@t128)) % 2.33/2.55 (step @p575 :rule cong :premises (@p186 @p574) :args (@t275)) % 2.33/2.55 (step @p576 :rule refl :args (@t130)) % 2.33/2.55 (step @p577 :rule cong :premises (@p186 @p576) :args (@t276)) % 2.33/2.55 (step @p578 :rule cong :premises (@p572 @p577 @p575) :args ((ite @t131 @t276 @t275))) % 2.33/2.55 (step @p579 :rule ite_eq :args (@t132)) % 2.33/2.55 (step @p580 :rule eq_resolve :premises (@p579 @p578)) % 2.33/2.55 (step @p581 :rule eq_resolve :premises (@p580 @p573)) % 2.33/2.55 (step @p582 :rule ite_elim2 :premises (@p581)) % 2.33/2.55 (step @p583 :rule chain_m_resolution :premises (@p582 @p385) :args (@t277 @t186 @t225)) % 2.33/2.55 (step @p584 :rule cnf_or_neg :args (@t156 8)) % 2.33/2.55 (step @p585 :rule chain_m_resolution :premises (@p584 @p264) :args (@t278 @t186 @t187)) % 2.33/2.55 (step @p586 :rule refl :args (@t281)) % 2.33/2.55 (step @p587 :rule bool-double-not-elim :args (@t135)) % 2.33/2.55 (step @p588 :rule refl :args (@t282)) % 2.33/2.55 (step @p589 :rule nary_cong :premises (@p588 @p587 @p586) :args ((or @t282 (not @t278) @t281))) % 2.33/2.55 (assume-push @p1280 @t277) % 2.33/2.55 (assume-push @p1281 @t278) % 2.33/2.55 (assume-push @p1282 @t280) % 2.33/2.55 (step @p593 :rule arith-elim-lt :args (@t279 0/1)) % 2.33/2.55 (step @p594 :rule symm :premises (@p593)) % 2.33/2.55 (assume-push @p1283 @t280) % 2.33/2.55 (step @p354 :rule evaluate :args (@t211)) % 2.33/2.55 (step @p413 :rule evaluate :args (@t230)) % 2.33/2.55 (step @p356 :rule evaluate :args (@t213)) % 2.33/2.55 (step @p357 :rule refl :args (0/1)) % 2.33/2.55 (step @p596 :rule nary_cong :premises (@p356 @p357 @p356) :args (@t283)) % 2.33/2.55 (step @p597 :rule trans :premises (@p596 @p413)) % 2.33/2.55 (step @p598 :rule arith_poly_norm :args ((= (+ @t218 @t284 0/1 0/1) 0/1))) % 2.33/2.55 (step @p599 :rule evaluate :args ((to_real 0))) % 2.33/2.55 (step @p600 :rule arith_poly_norm :args ((= @t285 0))) % 2.33/2.55 (step @p601 :rule cong :premises (@p600) :args (@t286)) % 2.33/2.55 (step @p602 :rule trans :premises (@p601 @p599)) % 2.33/2.55 (step @p603 :rule arith_poly_norm :args ((= @t287 0/1))) % 2.33/2.55 (step @p604 :rule refl :args (@t284)) % 2.33/2.55 (step @p605 :rule refl :args (@t218)) % 2.33/2.55 (step @p606 :rule nary_cong :premises (@p605 @p604 @p603 @p602) :args (@t288)) % 2.33/2.55 (step @p607 :rule trans :premises (@p606 @p598)) % 2.33/2.55 (step @p608 :rule arith_poly_norm :args ((= @t290 @t288))) % 2.33/2.55 (step @p609 :rule trans :premises (@p608 @p607)) % 2.33/2.55 (step @p610 :rule cong :premises (@p609 @p597) :args (@t291)) % 2.33/2.55 (step @p611 :rule trans :premises (@p610 @p354)) % 2.33/2.55 (step @p612 :rule cong :premises (@p611) :args ((not @t291))) % 2.33/2.55 (step @p613 :rule trans :premises (@p612 @p29)) % 2.33/2.55 (step @p614 :rule arith-elim-lt :args (@t290 @t283)) % 2.33/2.55 (step @p615 :rule trans :premises (@p614 @p613)) % 2.33/2.55 (step @p616 :rule arith_mult_neg :args (-1/1 @t292)) % 2.33/2.55 (step @p617 :rule arith_poly_norm :args ((= (* 1/1 (- @t289 0/1)) (* 1/1 (- @t133 @t218))))) % 2.33/2.55 (step @p618 :rule arith_poly_norm_rel :premises (@p617) :args ((= @t292 @t277))) % 2.33/2.55 (step @p619 :rule symm :premises (@p618)) % 2.33/2.55 (step @p620 :rule eq_resolve :premises (@p1280 @p619)) % 2.33/2.55 (step @p370 :rule evaluate :args (@t217)) % 2.33/2.55 (step @p371 :rule true_elim :premises (@p370)) % 2.33/2.55 (step @p621 :rule and_intro :premises (@p371 @p620)) % 2.33/2.55 (step @p622 :rule modus_ponens :premises (@p621 @p616)) % 2.33/2.55 (step @p623 :rule arith-elim-lt :args (@t134 0/1)) % 2.33/2.55 (step @p624 :rule symm :premises (@p623)) % 2.33/2.55 (step @p625 :rule eq_resolve :premises (@p585 @p624)) % 2.33/2.55 (step @p626 :rule arith_mult_neg :args (-1/1 @t280)) % 2.33/2.55 (step @p627 :rule and_intro :premises (@p371 @p1282)) % 2.33/2.55 (step @p628 :rule modus_ponens :premises (@p627 @p626)) % 2.33/2.55 (step @p629 :rule arith_sum_ub :premises (@p628 @p625 @p622)) % 2.33/2.55 (step @p630 false :rule eq_resolve :premises (@p629 @p615)) % 2.33/2.55 (step-pop @p1284 :rule scope :premises (@p630)) % 2.33/2.55 (step @p631 :rule process_scope :premises (@p1284) :args (false)) % 2.33/2.55 (step @p633 :rule eq_resolve :premises (@p631 @p594)) % 2.33/2.55 (step @p634 :rule eq_resolve :premises (@p633 @p593)) % 2.33/2.55 (step @p635 false :rule contra :premises (@p1282 @p634)) % 2.33/2.55 (step-pop @p1285 :rule scope :premises (@p635)) % 2.33/2.55 (step-pop @p1286 :rule scope :premises (@p1285)) % 2.33/2.55 (step-pop @p1287 :rule scope :premises (@p1286)) % 2.33/2.55 (step @p636 :rule process_scope :premises (@p1287) :args (false)) % 2.33/2.55 (step @p640 :rule not_and :premises (@p636)) % 2.33/2.55 (step @p641 :rule eq_resolve :premises (@p640 @p589)) % 2.33/2.55 (step @p642 :rule reordering :premises (@p641) :args ((or @t135 @t282 @t281))) % 2.33/2.55 (step @p643 :rule chain_m_resolution :premises (@p642 @p585 @p583) :args (@t281 @t191 (@list @t135 @t277))) % 2.33/2.55 (step @p644 :rule bool-double-not-elim :args (@t154)) % 2.33/2.55 (step @p645 :rule nary_cong :premises (@p266 @p644) :args ((or @t156 (not @t155)))) % 2.33/2.55 (step @p646 :rule cnf_or_neg :args (@t156 0)) % 2.33/2.55 (step @p647 :rule eq_resolve :premises (@p646 @p645)) % 2.33/2.55 (step @p648 :rule reordering :premises (@p647) :args ((or @t154 @t156))) % 2.33/2.55 (step @p649 :rule chain_m_resolution :premises (@p648 @p264) :args (@t154 @t186 @t187)) % 2.33/2.55 (step @p650 :rule bool-double-not-elim :args (@t293)) % 2.33/2.55 (step @p651 :rule refl :args (@t295)) % 2.33/2.55 (step @p652 :rule nary_cong :premises (@p240 @p453 @p651 @p650) :args ((or @t155 @t247 @t295 @t297))) % 2.33/2.55 (assume-push @p1288 @t294) % 2.33/2.55 (assume-push @p1289 @t220) % 2.33/2.55 (assume-push @p1290 @t154) % 2.33/2.55 (assume-push @p1291 @t296) % 2.33/2.55 (step @p657 :rule arith-elim-lt :args (@t219 0/1)) % 2.33/2.55 (step @p658 :rule cong :premises (@p657) :args ((not @t298))) % 2.33/2.55 (step @p659 :rule trans :premises (@p658 @p650)) % 2.33/2.55 (step @p660 :rule symm :premises (@p659)) % 2.33/2.55 (assume-push @p1292 @t298) % 2.33/2.55 (step @p354 :rule evaluate :args (@t211)) % 2.33/2.55 (step @p662 :rule evaluate :args ((+ 0/1 0/1 0/1 0/1))) % 2.33/2.55 (step @p357 :rule refl :args (0/1)) % 2.33/2.55 (step @p356 :rule evaluate :args (@t213)) % 2.33/2.55 (step @p663 :rule nary_cong :premises (@p357 @p356 @p357 @p357) :args (@t299)) % 2.33/2.55 (step @p664 :rule trans :premises (@p663 @p662)) % 2.33/2.55 (step @p665 :rule arith_poly_norm :args ((= @t301 0/1))) % 2.33/2.55 (step @p666 :rule arith_poly_norm :args ((= @t303 @t301))) % 2.33/2.55 (step @p667 :rule trans :premises (@p666 @p665)) % 2.33/2.55 (step @p668 :rule cong :premises (@p667 @p664) :args (@t304)) % 2.33/2.55 (step @p669 :rule trans :premises (@p668 @p354)) % 2.33/2.55 (step @p670 :rule cong :premises (@p669) :args ((not @t304))) % 2.33/2.55 (step @p671 :rule trans :premises (@p670 @p29)) % 2.33/2.55 (step @p672 :rule arith-elim-lt :args (@t303 @t299)) % 2.33/2.55 (step @p673 :rule trans :premises (@p672 @p671)) % 2.33/2.55 (step @p674 :rule arith_poly_norm :args ((= (* 1/1 (- @t302 0/1)) (* 1/1 (- @t126 @t127))))) % 2.33/2.55 (step @p675 :rule arith_poly_norm_rel :premises (@p674) :args ((= (= @t302 0/1) @t294))) % 2.33/2.55 (step @p676 :rule symm :premises (@p675)) % 2.33/2.55 (step @p677 :rule eq_resolve :premises (@p1288 @p676)) % 2.33/2.55 (step @p474 :rule arith_poly_norm :args (@t256)) % 2.33/2.55 (step @p475 :rule arith_poly_norm_rel :premises (@p474) :args (@t257)) % 2.33/2.55 (step @p476 :rule symm :premises (@p475)) % 2.33/2.55 (step @p678 :rule eq_resolve :premises (@p1289 @p476)) % 2.33/2.55 (step @p679 :rule arith_mult_neg :args (-1/1 @t154)) % 2.33/2.55 (step @p370 :rule evaluate :args (@t217)) % 2.33/2.55 (step @p371 :rule true_elim :premises (@p370)) % 2.33/2.55 (step @p680 :rule and_intro :premises (@p371 @p649)) % 2.33/2.55 (step @p681 :rule modus_ponens :premises (@p680 @p679)) % 2.33/2.55 (step @p682 :rule arith_sum_ub :premises (@p1292 @p681 @p678 @p677)) % 2.33/2.55 (step @p683 false :rule eq_resolve :premises (@p682 @p673)) % 2.33/2.55 (step-pop @p1293 :rule scope :premises (@p683)) % 2.33/2.55 (step @p684 :rule process_scope :premises (@p1293) :args (false)) % 2.33/2.55 (step @p686 :rule eq_resolve :premises (@p684 @p659)) % 2.33/2.55 (step @p687 :rule eq_resolve :premises (@p686 @p660)) % 2.33/2.55 (step @p688 :rule symm :premises (@p657)) % 2.33/2.55 (step @p689 :rule eq_resolve :premises (@p1291 @p688)) % 2.33/2.55 (step @p690 false :rule contra :premises (@p689 @p687)) % 2.33/2.55 (step-pop @p1294 :rule scope :premises (@p690)) % 2.33/2.55 (step-pop @p1295 :rule scope :premises (@p1294)) % 2.33/2.55 (step-pop @p1296 :rule scope :premises (@p1295)) % 2.33/2.55 (step-pop @p1297 :rule scope :premises (@p1296)) % 2.33/2.55 (step @p691 :rule process_scope :premises (@p1297) :args (false)) % 2.33/2.55 (assume-push @p1298 @t154) % 2.33/2.55 (assume-push @p1299 @t220) % 2.33/2.55 (assume-push @p1300 @t294) % 2.33/2.55 (assume-push @p1301 @t296) % 2.33/2.55 (step @p700 :rule and_intro :premises (@p1300 @p1299 @p649 @p1301)) % 2.33/2.55 (step-pop @p1302 :rule scope :premises (@p700)) % 2.33/2.55 (step-pop @p1303 :rule scope :premises (@p1302)) % 2.33/2.55 (step-pop @p1304 :rule scope :premises (@p1303)) % 2.33/2.55 (step-pop @p1305 :rule scope :premises (@p1304)) % 2.33/2.55 (step @p701 :rule process_scope :premises (@p1305) :args (@t305)) % 2.33/2.55 (step @p706 :rule implies_elim :premises (@p701)) % 2.33/2.55 (step @p707 :rule resolution :premises (@p706 @p691) :args (true @t305)) % 2.33/2.55 (step @p708 :rule not_and :premises (@p707)) % 2.33/2.55 (step @p709 :rule eq_resolve :premises (@p708 @p652)) % 2.33/2.55 (step @p710 :rule arith_poly_norm :args ((= (* 1/1 (- @t26 @t11)) (* -1/1 (- @t11 @t26))))) % 2.33/2.55 (step @p711 :rule arith_poly_norm_rel :premises (@p710) :args ((= @t27 @t306))) % 2.33/2.55 (step @p712 :rule arith_poly_norm :args ((= (* 1/1 (- @t26 @t13)) (* -1/1 (- @t13 @t26))))) % 2.33/2.55 (step @p713 :rule arith_poly_norm_rel :premises (@p712) :args ((= @t28 @t307))) % 2.33/2.55 (step @p714 :rule nary_cong :premises (@p713 @p711) :args (@t29)) % 2.33/2.55 (step @p715 :rule cong :premises (@p714) :args (@t30)) % 2.33/2.55 (step @p716 :rule eq_resolve :premises (@p17 @p715)) % 2.33/2.55 (step @p717 :rule arith_poly_norm :args ((= (* -1/1 (- 1/1 @t127)) (* 1/1 (- @t127 1/1))))) % 2.33/2.55 (step @p718 :rule arith_poly_norm_rel :premises (@p717) :args ((= @t309 @t308))) % 2.33/2.55 (step @p719 :rule refl :args (@t294)) % 2.33/2.55 (step @p720 :rule nary_cong :premises (@p719 @p718) :args (@t310)) % 2.33/2.55 (step @p721 :rule refl :args (@t311)) % 2.33/2.55 (step @p722 :rule cong :premises (@p721 @p720) :args ((=> @t311 @t310))) % 2.33/2.55 (assume-push @p1306 @t311) % 2.33/2.55 (step @p724 :rule instantiate :premises (@p716) :args ((@list @t126 1/1))) % 2.33/2.55 (step-pop @p1307 :rule scope :premises (@p724)) % 2.33/2.55 (step @p725 :rule process_scope :premises (@p1307) :args (@t310)) % 2.33/2.55 (step @p727 :rule eq_resolve :premises (@p725 @p722)) % 2.33/2.55 (step @p728 :rule implies_elim :premises (@p727)) % 2.33/2.55 (step @p729 :rule chain_m_resolution :premises (@p728 @p716) :args (@t312 @t204 (@list @t311))) % 2.33/2.55 (step @p730 :rule cnf_or_pos :args (@t312)) % 2.33/2.55 (step @p731 :rule reordering :premises (@p730) :args ((or @t294 @t308 (not @t312)))) % 2.33/2.55 (step @p732 :rule refl :args (@t313)) % 2.33/2.55 (step @p733 :rule nary_cong :premises (@p453 @p732 @p650) :args ((or @t247 @t313 @t297))) % 2.33/2.55 (assume-push @p1308 @t296) % 2.33/2.55 (assume-push @p1309 @t220) % 2.33/2.55 (assume-push @p1310 @t308) % 2.33/2.55 (assume-push @p1311 @t308) % 2.33/2.55 (step @p738 :rule evaluate :args ((>= 0/1 -1/1))) % 2.33/2.55 (step @p739 :rule evaluate :args ((+ -1/1 0/1 0/1))) % 2.33/2.55 (step @p357 :rule refl :args (0/1)) % 2.33/2.55 (step @p740 :rule evaluate :args (@t314)) % 2.33/2.55 (step @p741 :rule nary_cong :premises (@p740 @p357 @p357) :args (@t315)) % 2.33/2.55 (step @p742 :rule trans :premises (@p741 @p739)) % 2.33/2.55 (step @p743 :rule arith_poly_norm :args ((= @t316 0/1))) % 2.33/2.55 (step @p744 :rule arith_poly_norm :args ((= @t317 @t316))) % 2.33/2.55 (step @p745 :rule trans :premises (@p744 @p743)) % 2.33/2.55 (step @p746 :rule cong :premises (@p745 @p742) :args (@t318)) % 2.33/2.55 (step @p747 :rule trans :premises (@p746 @p738)) % 2.33/2.55 (step @p748 :rule cong :premises (@p747) :args ((not @t318))) % 2.33/2.55 (step @p749 :rule trans :premises (@p748 @p29)) % 2.33/2.55 (step @p750 :rule arith-elim-lt :args (@t317 @t315)) % 2.33/2.55 (step @p751 :rule trans :premises (@p750 @p749)) % 2.33/2.55 (step @p657 :rule arith-elim-lt :args (@t219 0/1)) % 2.33/2.55 (step @p688 :rule symm :premises (@p657)) % 2.33/2.55 (step @p752 :rule eq_resolve :premises (@p1308 @p688)) % 2.33/2.55 (step @p474 :rule arith_poly_norm :args (@t256)) % 2.33/2.55 (step @p475 :rule arith_poly_norm_rel :premises (@p474) :args (@t257)) % 2.33/2.55 (step @p476 :rule symm :premises (@p475)) % 2.33/2.55 (step @p753 :rule eq_resolve :premises (@p1309 @p476)) % 2.33/2.55 (step @p754 :rule arith_mult_neg :args (-1/1 @t308)) % 2.33/2.55 (step @p370 :rule evaluate :args (@t217)) % 2.33/2.55 (step @p371 :rule true_elim :premises (@p370)) % 2.33/2.55 (step @p755 :rule and_intro :premises (@p371 @p1310)) % 2.33/2.55 (step @p756 :rule modus_ponens :premises (@p755 @p754)) % 2.33/2.55 (step @p757 :rule arith_sum_ub :premises (@p756 @p753 @p752)) % 2.33/2.55 (step @p758 false :rule eq_resolve :premises (@p757 @p751)) % 2.33/2.55 (step-pop @p1312 :rule scope :premises (@p758)) % 2.33/2.55 (step @p759 :rule process_scope :premises (@p1312) :args (false)) % 2.33/2.55 (step @p761 false :rule contra :premises (@p1310 @p759)) % 2.33/2.55 (step-pop @p1313 :rule scope :premises (@p761)) % 2.33/2.55 (step-pop @p1314 :rule scope :premises (@p1313)) % 2.33/2.55 (step-pop @p1315 :rule scope :premises (@p1314)) % 2.33/2.55 (step @p762 :rule process_scope :premises (@p1315) :args (false)) % 2.33/2.55 (assume-push @p1316 @t220) % 2.33/2.55 (assume-push @p1317 @t308) % 2.33/2.55 (assume-push @p1318 @t296) % 2.33/2.55 (step @p769 :rule and_intro :premises (@p1318 @p1316 @p1317)) % 2.33/2.55 (step-pop @p1319 :rule scope :premises (@p769)) % 2.33/2.55 (step-pop @p1320 :rule scope :premises (@p1319)) % 2.33/2.55 (step-pop @p1321 :rule scope :premises (@p1320)) % 2.33/2.55 (step @p770 :rule process_scope :premises (@p1321) :args (@t319)) % 2.33/2.55 (step @p774 :rule implies_elim :premises (@p770)) % 2.33/2.55 (step @p775 :rule resolution :premises (@p774 @p762) :args (true @t319)) % 2.33/2.55 (step @p776 :rule not_and :premises (@p775)) % 2.33/2.55 (step @p777 :rule eq_resolve :premises (@p776 @p733)) % 2.33/2.55 (step @p778 :rule chain_m_resolution :premises (@p777 @p400 @p731 @p729 @p709 @p400 @p649) :args (@t293 (@list false false false true false false) (@list @t220 @t308 @t312 @t294 @t220 @t154))) % 2.33/2.55 (step @p657 :rule arith-elim-lt :args (@t219 0/1)) % 2.33/2.55 (step @p779 :rule arith-elim-lt :args (@t218 0/1)) % 2.33/2.55 (step @p780 :rule nary_cong :premises (@p314 @p779) :args (@t320)) % 2.33/2.55 (step @p781 :rule cong :premises (@p780 @p657) :args ((=> @t320 @t298))) % 2.33/2.55 (step @p782 :rule arith_mult_sign :args (@t320 @t219)) % 2.33/2.55 (step @p783 :rule eq_resolve :premises (@p782 @p781)) % 2.33/2.55 (step @p784 :rule implies_elim :premises (@p783)) % 2.33/2.55 (step @p785 :rule reordering :premises (@p784) :args ((or @t296 @t324))) % 2.33/2.55 (step @p786 :rule chain_m_resolution :premises (@p785 @p778) :args (@t324 @t204 (@list @t293))) % 2.33/2.55 (step @p787 :rule bool-double-not-elim :args (@t321)) % 2.33/2.55 (step @p788 :rule refl :args (@t323)) % 2.33/2.55 (step @p789 :rule nary_cong :premises (@p788 @p274 @p787) :args ((or @t323 @t190 (not @t322)))) % 2.33/2.55 (step @p790 :rule cnf_and_neg :args (@t323)) % 2.33/2.55 (step @p791 :rule eq_resolve :premises (@p790 @p789)) % 2.33/2.55 (step @p792 :rule reordering :premises (@p791) :args ((or @t153 @t321 @t323))) % 2.33/2.55 (step @p793 :rule chain_m_resolution :premises (@p792 @p273 @p786) :args (@t321 @t325 (@list @t153 @t323))) % 2.33/2.55 (step @p794 :rule bool-double-not-elim :args (@t280)) % 2.33/2.55 (step @p795 :rule refl :args (@t322)) % 2.33/2.55 (step @p796 :rule refl :args (@t328)) % 2.33/2.55 (step @p797 :rule nary_cong :premises (@p796 @p795 @p794) :args ((or @t328 @t322 (not @t281)))) % 2.33/2.55 (step @p798 :rule cnf_ite_neg1 :args (@t328)) % 2.33/2.55 (step @p799 :rule eq_resolve :premises (@p798 @p797)) % 2.33/2.55 (step @p800 :rule reordering :premises (@p799) :args ((or @t322 @t280 @t328))) % 2.33/2.55 (step @p801 :rule chain_m_resolution :premises (@p800 @p793 @p643) :args (@t328 @t242 (@list @t321 @t280))) % 2.33/2.55 (step @p802 :rule bool-double-not-elim :args (@t329)) % 2.33/2.55 (step @p803 :rule nary_cong :premises (@p238 @p802) :args ((or @t151 @t331))) % 2.33/2.55 (assume-push @p1322 @t330) % 2.33/2.55 (assume-push @p1323 @t150) % 2.33/2.55 (step @p806 :rule evaluate :args (@t332)) % 2.33/2.55 (step @p807 :rule cong :premises (@p292 @p806) :args (@t333)) % 2.33/2.55 (step @p808 :rule cong :premises (@p807) :args (@t334)) % 2.33/2.55 (step @p809 :rule arith-leq-norm :args (@t122 -1)) % 2.33/2.55 (step @p810 :rule trans :premises (@p809 @p808)) % 2.33/2.55 (step @p811 :rule cong :premises (@p810) :args (@t336)) % 2.33/2.55 (step @p812 :rule trans :premises (@p811 @p802)) % 2.33/2.55 (step @p813 :rule arith-elim-leq :args (@t122 -1)) % 2.33/2.55 (step @p814 :rule symm :premises (@p813)) % 2.33/2.55 (step @p815 :rule cong :premises (@p814) :args (@t337)) % 2.33/2.55 (step @p816 :rule arith-elim-gt :args (@t122 -1)) % 2.33/2.55 (step @p817 :rule trans :premises (@p816 @p815)) % 2.33/2.55 (step @p818 :rule trans :premises (@p817 @p812)) % 2.33/2.55 (step @p819 :rule cong :premises (@p818) :args (@t338)) % 2.33/2.55 (step @p820 :rule symm :premises (@p819)) % 2.33/2.55 (step @p821 :rule trans :premises (@p810 @p820)) % 2.33/2.55 (step @p822 :rule arith-elim-lt :args (@t122 0)) % 2.33/2.55 (step @p823 :rule symm :premises (@p822)) % 2.33/2.55 (step @p824 :rule eq_resolve :premises (@p1322 @p823)) % 2.33/2.55 (step @p825 :rule int_tight_ub :premises (@p824)) % 2.33/2.55 (step @p826 :rule eq_resolve :premises (@p825 @p821)) % 2.33/2.55 (step @p827 :rule symm :premises (@p818)) % 2.33/2.55 (step @p828 :rule trans :premises (@p812 @p827)) % 2.33/2.55 (assume-push @p1324 @t335) % 2.33/2.55 (step @p830 :rule evaluate :args (@t339)) % 2.33/2.55 (step @p831 :rule evaluate :args ((+ -1 -1))) % 2.33/2.55 (step @p832 :rule evaluate :args (@t340)) % 2.33/2.55 (step @p833 :rule refl :args (-1)) % 2.33/2.55 (step @p834 :rule nary_cong :premises (@p833 @p832) :args (@t341)) % 2.33/2.55 (step @p835 :rule trans :premises (@p834 @p831)) % 2.33/2.55 (step @p836 :rule arith_poly_norm :args (@t343)) % 2.33/2.55 (step @p837 :rule cong :premises (@p836 @p835) :args ((<= @t342 @t341))) % 2.33/2.55 (step @p838 :rule trans :premises (@p837 @p830)) % 2.33/2.55 (step @p839 :rule arith_mult_neg :args (-1 @t150)) % 2.33/2.55 (step @p840 :rule evaluate :args (@t344)) % 2.33/2.55 (step @p841 :rule true_elim :premises (@p840)) % 2.33/2.55 (step @p842 :rule and_intro :premises (@p841 @p271)) % 2.33/2.55 (step @p843 :rule modus_ponens :premises (@p842 @p839)) % 2.33/2.55 (step @p844 :rule arith_sum_ub :premises (@p1324 @p843)) % 2.33/2.55 (step @p845 false :rule eq_resolve :premises (@p844 @p838)) % 2.33/2.55 (step-pop @p1325 :rule scope :premises (@p845)) % 2.33/2.55 (step @p846 :rule process_scope :premises (@p1325) :args (false)) % 2.33/2.55 (step @p848 :rule eq_resolve :premises (@p846 @p828)) % 2.33/2.55 (step @p849 false :rule contra :premises (@p848 @p826)) % 2.33/2.55 (step-pop @p1326 :rule scope :premises (@p849)) % 2.33/2.55 (step-pop @p1327 :rule scope :premises (@p1326)) % 2.33/2.55 (step @p850 :rule process_scope :premises (@p1327) :args (false)) % 2.33/2.55 (assume-push @p1328 @t150) % 2.33/2.55 (assume-push @p1329 @t330) % 2.33/2.55 (step @p855 :rule and_intro :premises (@p1329 @p271)) % 2.33/2.55 (step-pop @p1330 :rule scope :premises (@p855)) % 2.33/2.55 (step-pop @p1331 :rule scope :premises (@p1330)) % 2.33/2.55 (step @p856 :rule process_scope :premises (@p1331) :args (@t345)) % 2.33/2.55 (step @p859 :rule implies_elim :premises (@p856)) % 2.33/2.55 (step @p860 :rule resolution :premises (@p859 @p850) :args (true @t345)) % 2.33/2.55 (step @p861 :rule not_and :premises (@p860)) % 2.33/2.55 (step @p862 :rule eq_resolve :premises (@p861 @p803)) % 2.33/2.55 (step @p863 :rule chain_m_resolution :premises (@p862 @p271) :args (@t329 @t204 (@list @t150))) % 2.33/2.55 (step @p864 :rule cnf_ite_neg1 :args (@t350)) % 2.33/2.55 (step @p865 :rule reordering :premises (@p864) :args ((or @t330 @t350 (not @t328)))) % 2.33/2.55 (step @p866 :rule chain_m_resolution :premises (@p865 @p863 @p801) :args (@t350 @t351 (@list @t329 @t328))) % 2.33/2.55 (step @p867 :rule bool-double-not-elim :args (@t262)) % 2.33/2.55 (step @p868 :rule refl :args (@t352)) % 2.33/2.55 (step @p869 :rule refl :args (@t353)) % 2.33/2.55 (step @p870 :rule nary_cong :premises (@p869 @p868 @p867 @p387) :args ((or @t353 @t352 (not @t263) @t221))) % 2.33/2.55 (step @p871 :rule cnf_and_neg :args (@t353)) % 2.33/2.55 (step @p872 :rule eq_resolve :premises (@p871 @p870)) % 2.33/2.55 (step @p873 :rule reordering :premises (@p872) :args ((or @t131 @t262 @t353 @t352))) % 2.33/2.55 (step @p874 :rule cnf_ite_pos1 :args (@t357)) % 2.33/2.55 (step @p875 :rule reordering :premises (@p874) :args ((or @t296 @t356 (not @t357)))) % 2.33/2.55 (step @p876 :rule arith_poly_norm :args ((= (* 1/1 (- @t243 @t145)) (* 1/1 (- @t354 0/1))))) % 2.33/2.55 (step @p877 :rule arith_poly_norm_rel :premises (@p876) :args ((= (>= @t243 @t145) @t355))) % 2.33/2.55 (step @p878 :rule arith-elim-leq :args (@t145 @t243)) % 2.33/2.55 (step @p879 :rule trans :premises (@p878 @p877)) % 2.33/2.55 (step @p880 :rule arith_poly_norm :args ((= @t358 @t243))) % 2.33/2.55 (step @p881 :rule arith_poly_norm :args ((= @t359 @t145))) % 2.33/2.55 (step @p882 :rule cong :premises (@p881 @p880) :args (@t360)) % 2.33/2.55 (step @p883 :rule trans :premises (@p882 @p879)) % 2.33/2.55 (step @p884 :rule cong :premises (@p883) :args ((not @t360))) % 2.33/2.55 (step @p885 :rule arith-elim-leq :args (@t359 @t358)) % 2.33/2.55 (step @p886 :rule symm :premises (@p885)) % 2.33/2.55 (step @p887 :rule cong :premises (@p886) :args ((not (>= @t358 @t359)))) % 2.33/2.55 (step @p888 :rule arith-elim-gt :args (@t359 @t358)) % 2.33/2.55 (step @p889 :rule trans :premises (@p888 @p887)) % 2.33/2.55 (step @p890 :rule trans :premises (@p889 @p884)) % 2.33/2.55 (step @p891 :rule arith_poly_norm :args ((= (* 1/1 (- @t219 @t145)) (* 1/1 (- @t253 0/1))))) % 2.33/2.55 (step @p892 :rule arith_poly_norm_rel :premises (@p891) :args ((= (>= @t219 @t145) @t264))) % 2.33/2.55 (step @p893 :rule arith-elim-leq :args (@t145 @t219)) % 2.33/2.55 (step @p894 :rule trans :premises (@p893 @p892)) % 2.33/2.55 (step @p895 :rule refl :args (@t219)) % 2.33/2.55 (step @p896 :rule cong :premises (@p881 @p895) :args (@t361)) % 2.33/2.55 (step @p897 :rule trans :premises (@p896 @p894)) % 2.33/2.55 (step @p898 :rule cong :premises (@p897) :args ((not @t361))) % 2.33/2.55 (step @p899 :rule arith-elim-leq :args (@t359 @t219)) % 2.33/2.55 (step @p900 :rule symm :premises (@p899)) % 2.33/2.55 (step @p901 :rule cong :premises (@p900) :args ((not (>= @t219 @t359)))) % 2.33/2.55 (step @p902 :rule arith-elim-gt :args (@t359 @t219)) % 2.33/2.55 (step @p903 :rule trans :premises (@p902 @p901)) % 2.33/2.55 (step @p904 :rule trans :premises (@p903 @p898)) % 2.33/2.55 (step @p905 :rule refl :args (@t293)) % 2.33/2.55 (step @p906 :rule cong :premises (@p905 @p904 @p890) :args (@t362)) % 2.33/2.55 (step @p907 :rule arith_poly_norm :args ((= (* -1/1 (- @t243 @t137)) @t258))) % 2.33/2.55 (step @p908 :rule arith_poly_norm_rel :premises (@p907) :args ((= (>= @t243 @t137) @t245))) % 2.33/2.55 (step @p909 :rule arith-elim-leq :args (@t137 @t243)) % 2.33/2.55 (step @p910 :rule trans :premises (@p909 @p908)) % 2.33/2.55 (step @p911 :rule refl :args (@t137)) % 2.33/2.55 (step @p912 :rule cong :premises (@p911 @p880) :args (@t363)) % 2.33/2.55 (step @p913 :rule trans :premises (@p912 @p910)) % 2.33/2.55 (step @p914 :rule cong :premises (@p913) :args ((not @t363))) % 2.33/2.55 (step @p915 :rule arith-elim-leq :args (@t137 @t358)) % 2.33/2.55 (step @p916 :rule symm :premises (@p915)) % 2.33/2.55 (step @p917 :rule cong :premises (@p916) :args ((not (>= @t358 @t137)))) % 2.33/2.55 (step @p918 :rule arith-elim-gt :args (@t137 @t358)) % 2.33/2.55 (step @p919 :rule trans :premises (@p918 @p917)) % 2.33/2.55 (step @p920 :rule trans :premises (@p919 @p914)) % 2.33/2.55 (step @p921 :rule arith_poly_norm :args ((= (* -1/1 (- @t219 @t137)) @t365))) % 2.33/2.55 (step @p922 :rule arith_poly_norm_rel :premises (@p921) :args ((= @t367 @t366))) % 2.33/2.55 (step @p923 :rule arith-elim-leq :args (@t137 @t219)) % 2.33/2.55 (step @p924 :rule trans :premises (@p923 @p922)) % 2.33/2.55 (step @p925 :rule cong :premises (@p924) :args ((not (<= @t137 @t219)))) % 2.33/2.55 (step @p926 :rule symm :premises (@p923)) % 2.33/2.55 (step @p927 :rule cong :premises (@p926) :args ((not @t367))) % 2.33/2.55 (step @p928 :rule arith-elim-gt :args (@t137 @t219)) % 2.33/2.55 (step @p929 :rule trans :premises (@p928 @p927)) % 2.33/2.55 (step @p930 :rule trans :premises (@p929 @p925)) % 2.33/2.55 (step @p931 :rule cong :premises (@p905 @p930 @p920) :args (@t368)) % 2.33/2.55 (step @p932 :rule refl :args (@t369)) % 2.33/2.55 (step @p933 :rule cong :premises (@p932 @p931 @p906) :args (@t370)) % 2.33/2.55 (step @p934 :rule refl :args (@t263)) % 2.33/2.55 (step @p935 :rule arith_poly_norm :args ((= (* 1/1 (- @t284 @t124)) (* 1/1 (- @t346 0/1))))) % 2.33/2.55 (step @p936 :rule arith_poly_norm_rel :premises (@p935) :args ((= (>= @t284 @t124) @t347))) % 2.33/2.55 (step @p937 :rule arith-elim-leq :args (@t124 @t284)) % 2.33/2.55 (step @p938 :rule trans :premises (@p937 @p936)) % 2.33/2.55 (step @p939 :rule arith_poly_norm :args ((= @t371 @t284))) % 2.33/2.55 (step @p940 :rule arith_poly_norm :args ((= @t372 @t124))) % 2.33/2.55 (step @p941 :rule arith_poly_norm :args ((= @t373 @t372))) % 2.33/2.55 (step @p942 :rule trans :premises (@p941 @p940)) % 2.33/2.55 (step @p943 :rule cong :premises (@p942 @p939) :args (@t374)) % 2.33/2.55 (step @p944 :rule trans :premises (@p943 @p938)) % 2.33/2.55 (step @p945 :rule cong :premises (@p944) :args ((not @t374))) % 2.33/2.55 (step @p946 :rule arith-elim-leq :args (@t373 @t371)) % 2.33/2.55 (step @p947 :rule symm :premises (@p946)) % 2.33/2.55 (step @p948 :rule cong :premises (@p947) :args ((not (>= @t371 @t373)))) % 2.33/2.55 (step @p949 :rule arith-elim-gt :args (@t373 @t371)) % 2.33/2.55 (step @p950 :rule trans :premises (@p949 @p948)) % 2.33/2.55 (step @p951 :rule trans :premises (@p950 @p945)) % 2.33/2.55 (step @p952 :rule arith_poly_norm :args ((= (* 1/1 (- @t218 @t124)) (* 1/1 (- @t348 0/1))))) % 2.33/2.55 (step @p953 :rule arith_poly_norm_rel :premises (@p952) :args ((= (>= @t218 @t124) @t349))) % 2.33/2.55 (step @p954 :rule arith-elim-leq :args (@t124 @t218)) % 2.33/2.55 (step @p955 :rule trans :premises (@p954 @p953)) % 2.33/2.55 (step @p605 :rule refl :args (@t218)) % 2.33/2.55 (step @p956 :rule cong :premises (@p942 @p605) :args (@t375)) % 2.33/2.55 (step @p957 :rule trans :premises (@p956 @p955)) % 2.33/2.55 (step @p958 :rule cong :premises (@p957) :args ((not @t375))) % 2.33/2.55 (step @p959 :rule arith-elim-leq :args (@t373 @t218)) % 2.33/2.55 (step @p960 :rule symm :premises (@p959)) % 2.33/2.55 (step @p961 :rule cong :premises (@p960) :args ((not (>= @t218 @t373)))) % 2.33/2.55 (step @p962 :rule arith-elim-gt :args (@t373 @t218)) % 2.33/2.55 (step @p963 :rule trans :premises (@p962 @p961)) % 2.33/2.55 (step @p964 :rule trans :premises (@p963 @p958)) % 2.33/2.55 (step @p965 :rule refl :args (@t321)) % 2.33/2.55 (step @p966 :rule cong :premises (@p965 @p964 @p951) :args (@t376)) % 2.33/2.55 (step @p967 :rule arith_poly_norm :args ((= (* -1/1 (- @t284 @t136)) (* -1/1 (- @t326 0/1))))) % 2.33/2.55 (step @p968 :rule arith_poly_norm_rel :premises (@p967) :args ((= (>= @t284 @t136) @t327))) % 2.33/2.55 (step @p969 :rule arith-elim-leq :args (@t136 @t284)) % 2.33/2.55 (step @p970 :rule trans :premises (@p969 @p968)) % 2.33/2.55 (step @p971 :rule refl :args (@t136)) % 2.33/2.55 (step @p972 :rule cong :premises (@p971 @p939) :args (@t377)) % 2.33/2.55 (step @p973 :rule trans :premises (@p972 @p970)) % 2.33/2.55 (step @p974 :rule cong :premises (@p973) :args ((not @t377))) % 2.33/2.55 (step @p975 :rule arith-elim-leq :args (@t136 @t371)) % 2.33/2.55 (step @p976 :rule symm :premises (@p975)) % 2.33/2.55 (step @p977 :rule cong :premises (@p976) :args ((not (>= @t371 @t136)))) % 2.33/2.55 (step @p978 :rule arith-elim-gt :args (@t136 @t371)) % 2.33/2.55 (step @p979 :rule trans :premises (@p978 @p977)) % 2.33/2.55 (step @p980 :rule trans :premises (@p979 @p974)) % 2.33/2.55 (step @p981 :rule arith_poly_norm :args ((= (* -1/1 (- @t218 @t136)) (* -1/1 (- @t279 0/1))))) % 2.33/2.55 (step @p982 :rule arith_poly_norm_rel :premises (@p981) :args ((= @t378 @t280))) % 2.33/2.55 (step @p983 :rule arith-elim-leq :args (@t136 @t218)) % 2.33/2.55 (step @p984 :rule trans :premises (@p983 @p982)) % 2.33/2.55 (step @p985 :rule cong :premises (@p984) :args ((not (<= @t136 @t218)))) % 2.33/2.55 (step @p986 :rule symm :premises (@p983)) % 2.33/2.55 (step @p987 :rule cong :premises (@p986) :args ((not @t378))) % 2.33/2.55 (step @p988 :rule arith-elim-gt :args (@t136 @t218)) % 2.33/2.55 (step @p989 :rule trans :premises (@p988 @p987)) % 2.33/2.55 (step @p990 :rule trans :premises (@p989 @p985)) % 2.33/2.55 (step @p991 :rule cong :premises (@p965 @p990 @p980) :args (@t379)) % 2.33/2.55 (step @p992 :rule arith_poly_norm_rel :premises (@p318) :args ((= @t380 @t329))) % 2.33/2.55 (step @p993 :rule cong :premises (@p992 @p991 @p966) :args (@t381)) % 2.33/2.55 (step @p994 :rule nary_cong :premises (@p993 @p934 @p349) :args (@t382)) % 2.33/2.55 (step @p995 :rule cong :premises (@p994 @p933) :args ((=> @t382 @t370))) % 2.33/2.55 (assume-push @p1332 @t381) % 2.33/2.55 (assume-push @p1333 @t263) % 2.33/2.55 (assume-push @p1334 @t210) % 2.33/2.55 (step @p999 :rule arith-abs-real-gt :args (@t137 @t219)) % 2.33/2.55 (step @p1000 :rule arith_poly_norm :args ((= (* 1/1 (- @t383 @t384)) (* 1/1 (- @t385 0/1))))) % 2.33/2.55 (step @p1001 :rule arith_poly_norm_rel :premises (@p1000) :args ((= @t386 (>= @t385 0/1)))) % 2.33/2.55 (step @p1002 :rule arith-elim-leq :args (@t384 @t383)) % 2.33/2.55 (step @p1003 :rule trans :premises (@p1002 @p1001)) % 2.33/2.55 (step @p1004 :rule cong :premises (@p1003) :args ((not (<= @t384 @t383)))) % 2.33/2.55 (step @p1005 :rule symm :premises (@p1002)) % 2.33/2.55 (step @p1006 :rule cong :premises (@p1005) :args ((not @t386))) % 2.33/2.55 (step @p1007 :rule arith-elim-gt :args (@t384 @t383)) % 2.33/2.55 (step @p1008 :rule trans :premises (@p1007 @p1006)) % 2.33/2.55 (step @p1009 :rule trans :premises (@p1008 @p1004)) % 2.33/2.55 (step @p1010 :rule symm :premises (@p1009)) % 2.33/2.55 (step @p1011 :rule arith_poly_norm :args ((= @t387 @t219))) % 2.33/2.55 (step @p1012 :rule cong :premises (@p1011) :args (@t388)) % 2.33/2.55 (step @p1013 :rule arith_poly_norm :args ((= @t389 @t137))) % 2.33/2.55 (step @p1014 :rule cong :premises (@p1013) :args (@t390)) % 2.33/2.55 (step @p1015 :rule cong :premises (@p1014 @p1012) :args (@t391)) % 2.33/2.55 (step @p1016 :rule trans :premises (@p1015 @p1003)) % 2.33/2.55 (step @p1017 :rule cong :premises (@p1016) :args ((not @t391))) % 2.33/2.55 (step @p1018 :rule arith-elim-leq :args (@t390 @t388)) % 2.33/2.55 (step @p1019 :rule symm :premises (@p1018)) % 2.33/2.55 (step @p1020 :rule cong :premises (@p1019) :args ((not (>= @t388 @t390)))) % 2.33/2.55 (step @p1021 :rule arith-elim-gt :args (@t390 @t388)) % 2.33/2.55 (step @p1022 :rule trans :premises (@p1021 @p1020)) % 2.33/2.55 (step @p1023 :rule trans :premises (@p1022 @p1017)) % 2.33/2.55 (step @p1024 :rule trans :premises (@p1023 @p1010)) % 2.33/2.55 (step @p1025 :rule refl :args ((abs @t125))) % 2.33/2.55 (step @p1026 :rule and_intro :premises (@p1025 @p1334)) % 2.33/2.55 (step @p1027 :rule arith-abs-real-gt :args (@t136 @t218)) % 2.33/2.55 (step @p1028 :rule symm :premises (@p1027)) % 2.33/2.55 (step @p1029 :rule eq_resolve :premises (@p1332 @p1028)) % 2.33/2.55 (step @p1030 :rule arith_mult_abs_comparison :premises (@p1029 @p1026)) % 2.33/2.55 (step @p1031 :rule eq_resolve :premises (@p1030 @p1024)) % 2.33/2.55 (step @p1032 :rule eq_resolve :premises (@p1031 @p999)) % 2.33/2.55 (step-pop @p1335 :rule scope :premises (@p1032)) % 2.33/2.55 (step-pop @p1336 :rule scope :premises (@p1335)) % 2.33/2.55 (step-pop @p1337 :rule scope :premises (@p1336)) % 2.33/2.55 (step @p1033 :rule process_scope :premises (@p1337) :args (@t370)) % 2.33/2.55 (step @p1037 :rule eq_resolve :premises (@p1033 @p995)) % 2.33/2.55 (step @p1038 :rule implies_elim :premises (@p1037)) % 2.33/2.55 (step @p1039 :rule reordering :premises (@p1038) :args ((or @t394 (not @t353)))) % 2.33/2.55 (step @p1040 :rule bool-double-not-elim :args (@t366)) % 2.33/2.55 (step @p1041 :rule nary_cong :premises (@p236 @p453 @p1040) :args ((or @t148 @t247 (not @t392)))) % 2.33/2.55 (assume-push @p1338 @t392) % 2.33/2.55 (assume-push @p1339 @t220) % 2.33/2.55 (assume-push @p1340 @t147) % 2.33/2.55 (step @p427 :rule arith-elim-leq :args (@t233 0/1)) % 2.33/2.55 (step @p1045 :rule symm :premises (@p427)) % 2.33/2.55 (step @p1046 :rule cong :premises (@p1045) :args ((not @t237))) % 2.33/2.55 (step @p1047 :rule arith-elim-gt :args (@t233 0/1)) % 2.33/2.55 (step @p1048 :rule trans :premises (@p1047 @p1046)) % 2.33/2.55 (step @p425 :rule arith_poly_norm :args (@t236)) % 2.33/2.55 (step @p426 :rule arith_poly_norm_rel :premises (@p425) :args (@t238)) % 2.33/2.55 (step @p428 :rule trans :premises (@p427 @p426)) % 2.33/2.55 (step @p1049 :rule cong :premises (@p428) :args ((not @t395))) % 2.33/2.55 (step @p1050 :rule trans :premises (@p1048 @p1049)) % 2.33/2.55 (step @p1051 :rule symm :premises (@p1050)) % 2.33/2.55 (step @p1052 :rule trans :premises (@p1049 @p1051)) % 2.33/2.55 (assume-push @p1341 @t395) % 2.33/2.55 (step @p354 :rule evaluate :args (@t211)) % 2.33/2.55 (step @p413 :rule evaluate :args (@t230)) % 2.33/2.55 (step @p356 :rule evaluate :args (@t213)) % 2.33/2.55 (step @p357 :rule refl :args (0/1)) % 2.33/2.55 (step @p1054 :rule nary_cong :premises (@p357 @p357 @p356) :args (@t396)) % 2.33/2.55 (step @p1055 :rule trans :premises (@p1054 @p413)) % 2.33/2.55 (step @p1056 :rule arith_poly_norm :args ((= (+ 0/1 @t226 @t127 0/1) 0/1))) % 2.33/2.55 (step @p533 :rule arith_poly_norm :args (@t267)) % 2.33/2.55 (step @p1057 :rule refl :args (@t226)) % 2.33/2.55 (step @p534 :rule arith_poly_norm :args (@t269)) % 2.33/2.55 (step @p1058 :rule nary_cong :premises (@p534 @p1057 @p220 @p533) :args (@t397)) % 2.33/2.55 (step @p1059 :rule trans :premises (@p1058 @p1056)) % 2.33/2.55 (step @p1060 :rule arith_poly_norm :args ((= @t398 @t397))) % 2.33/2.55 (step @p1061 :rule trans :premises (@p1060 @p1059)) % 2.33/2.55 (step @p1062 :rule cong :premises (@p1061 @p1055) :args (@t399)) % 2.33/2.55 (step @p1063 :rule trans :premises (@p1062 @p354)) % 2.33/2.55 (step @p1064 :rule cong :premises (@p1063) :args ((not @t399))) % 2.33/2.55 (step @p1065 :rule trans :premises (@p1064 @p29)) % 2.33/2.55 (step @p1066 :rule arith-elim-lt :args (@t398 @t396)) % 2.33/2.55 (step @p1067 :rule trans :premises (@p1066 @p1065)) % 2.33/2.55 (step @p1068 :rule arith_mult_neg :args (-1/1 (> @t354 0/1))) % 2.33/2.55 (step @p1069 :rule arith_poly_norm :args ((= (* -1/1 (- 0/1 @t354)) @t365))) % 2.33/2.55 (step @p1070 :rule arith_poly_norm_rel :premises (@p1069) :args ((= @t400 @t366))) % 2.33/2.55 (step @p1071 :rule arith-elim-leq :args (@t354 0/1)) % 2.33/2.55 (step @p1072 :rule trans :premises (@p1071 @p1070)) % 2.33/2.55 (step @p1073 :rule cong :premises (@p1072) :args ((not (<= @t354 0/1)))) % 2.33/2.55 (step @p1074 :rule symm :premises (@p1071)) % 2.33/2.55 (step @p1075 :rule cong :premises (@p1074) :args ((not @t400))) % 2.33/2.55 (step @p1076 :rule arith-elim-gt :args (@t354 0/1)) % 2.33/2.55 (step @p1077 :rule trans :premises (@p1076 @p1075)) % 2.33/2.55 (step @p1078 :rule trans :premises (@p1077 @p1073)) % 2.33/2.55 (step @p1079 :rule symm :premises (@p1078)) % 2.33/2.55 (step @p1080 :rule eq_resolve :premises (@p1338 @p1079)) % 2.33/2.55 (step @p370 :rule evaluate :args (@t217)) % 2.33/2.55 (step @p371 :rule true_elim :premises (@p370)) % 2.33/2.55 (step @p1081 :rule and_intro :premises (@p371 @p1080)) % 2.33/2.55 (step @p1082 :rule modus_ponens :premises (@p1081 @p1068)) % 2.33/2.55 (step @p474 :rule arith_poly_norm :args (@t256)) % 2.33/2.55 (step @p475 :rule arith_poly_norm_rel :premises (@p474) :args (@t257)) % 2.33/2.55 (step @p476 :rule symm :premises (@p475)) % 2.33/2.55 (step @p1083 :rule eq_resolve :premises (@p1339 @p476)) % 2.33/2.55 (step @p429 :rule symm :premises (@p428)) % 2.33/2.55 (step @p430 :rule eq_resolve :premises (@p406 @p429)) % 2.33/2.55 (step @p1084 :rule arith_sum_ub :premises (@p430 @p1083 @p1082)) % 2.33/2.55 (step @p1085 false :rule eq_resolve :premises (@p1084 @p1067)) % 2.33/2.55 (step-pop @p1342 :rule scope :premises (@p1085)) % 2.33/2.55 (step @p1086 :rule process_scope :premises (@p1342) :args (false)) % 2.33/2.55 (step @p1088 :rule eq_resolve :premises (@p1086 @p1052)) % 2.33/2.55 (step @p1089 :rule eq_resolve :premises (@p1088 @p1048)) % 2.33/2.55 (step @p429 :rule symm :premises (@p428)) % 2.33/2.55 (step @p430 :rule eq_resolve :premises (@p406 @p429)) % 2.33/2.55 (step @p1090 false :rule contra :premises (@p430 @p1089)) % 2.33/2.55 (step-pop @p1343 :rule scope :premises (@p1090)) % 2.33/2.55 (step-pop @p1344 :rule scope :premises (@p1343)) % 2.33/2.55 (step-pop @p1345 :rule scope :premises (@p1344)) % 2.33/2.55 (step @p1091 :rule process_scope :premises (@p1345) :args (false)) % 2.33/2.55 (assume-push @p1346 @t147) % 2.33/2.55 (assume-push @p1347 @t220) % 2.33/2.55 (assume-push @p1348 @t392) % 2.33/2.55 (step @p1098 :rule and_intro :premises (@p1348 @p1347 @p406)) % 2.33/2.55 (step-pop @p1349 :rule scope :premises (@p1098)) % 2.33/2.55 (step-pop @p1350 :rule scope :premises (@p1349)) % 2.33/2.55 (step-pop @p1351 :rule scope :premises (@p1350)) % 2.33/2.55 (step @p1099 :rule process_scope :premises (@p1351) :args (@t401)) % 2.33/2.55 (step @p1103 :rule implies_elim :premises (@p1099)) % 2.33/2.55 (step @p1104 :rule resolution :premises (@p1103 @p1091) :args (true @t401)) % 2.33/2.55 (step @p1105 :rule not_and :premises (@p1104)) % 2.33/2.55 (step @p1106 :rule eq_resolve :premises (@p1105 @p1041)) % 2.33/2.55 (step @p1107 :rule chain_m_resolution :premises (@p1106 @p406 @p400) :args (@t366 @t351 (@list @t147 @t220))) % 2.33/2.55 (step @p1108 :rule cnf_ite_pos1 :args (@t393)) % 2.33/2.55 (step @p1109 :rule reordering :premises (@p1108) :args ((or @t296 @t392 @t402))) % 2.33/2.55 (step @p1110 :rule chain_m_resolution :premises (@p1109 @p778 @p1107) :args (@t402 @t351 (@list @t293 @t366))) % 2.33/2.55 (step @p1111 :rule cnf_ite_pos3 :args (@t394)) % 2.33/2.55 (step @p1112 :rule reordering :premises (@p1111) :args ((or @t393 @t357 @t403))) % 2.33/2.55 (step @p1113 :rule chain_m_resolution :premises (@p1112 @p1110 @p1039 @p875 @p778 @p873 @p866 @p385 @p567 @p522 @p509 @p451 @p400 @p273 @p348) :args (@t404 (@list true false true false false false true false true true true false true false) (@list @t393 @t394 @t357 @t293 @t353 @t350 @t131 @t264 @t262 @t245 @t227 @t220 @t153 @t206))) % 2.33/2.55 (step @p1114 :rule refl :args (@t405)) % 2.33/2.55 (step @p1115 :rule bool-double-not-elim :args (@t208)) % 2.33/2.55 (step @p1116 :rule nary_cong :premises (@p238 @p1115 @p1114) :args ((or @t151 (not @t404) @t405))) % 2.33/2.55 (assume-push @p1352 @t150) % 2.33/2.55 (assume-push @p1353 @t404) % 2.33/2.55 (assume-push @p1354 @t150) % 2.33/2.55 (assume-push @p1355 @t404) % 2.33/2.55 (step @p1121 :rule arith_trichotomy :premises (@p271 @p1353)) % 2.33/2.55 (step @p1122 :rule int_tight_lb :premises (@p1121)) % 2.33/2.55 (step-pop @p1356 :rule scope :premises (@p1122)) % 2.33/2.55 (step-pop @p1357 :rule scope :premises (@p1356)) % 2.33/2.55 (step @p1123 :rule process_scope :premises (@p1357) :args (@t405)) % 2.33/2.55 (step @p1126 :rule and_intro :premises (@p271 @p1353)) % 2.33/2.55 (step @p1127 :rule modus_ponens :premises (@p1126 @p1123)) % 2.33/2.55 (step-pop @p1358 :rule scope :premises (@p1127)) % 2.33/2.55 (step-pop @p1359 :rule scope :premises (@p1358)) % 2.33/2.55 (step @p1128 :rule process_scope :premises (@p1359) :args (@t405)) % 2.33/2.55 (step @p1131 :rule implies_elim :premises (@p1128)) % 2.33/2.55 (step @p1132 :rule cnf_and_neg :args (@t406)) % 2.33/2.55 (step @p1133 :rule resolution :premises (@p1132 @p1131) :args (true @t406)) % 2.33/2.55 (step @p1134 :rule eq_resolve :premises (@p1133 @p1116)) % 2.33/2.55 (step @p1135 :rule chain_m_resolution :premises (@p1134 @p271 @p1113) :args (@t405 @t242 (@list @t150 @t208))) % 2.33/2.55 (assume-push @p1360 @t262) % 2.33/2.55 (assume-push @p1361 @t405) % 2.33/2.55 (assume-push @p1362 @t262) % 2.33/2.55 (step @p830 :rule evaluate :args (@t339)) % 2.33/2.55 (step @p1139 :rule evaluate :args ((+ 0 -2))) % 2.33/2.55 (step @p1140 :rule evaluate :args (@t407)) % 2.33/2.55 (step @p513 :rule refl :args (0)) % 2.33/2.55 (step @p1141 :rule nary_cong :premises (@p513 @p1140) :args (@t408)) % 2.33/2.55 (step @p1142 :rule trans :premises (@p1141 @p1139)) % 2.33/2.55 (step @p836 :rule arith_poly_norm :args (@t343)) % 2.33/2.55 (step @p1143 :rule cong :premises (@p836 @p1142) :args ((<= @t342 @t408))) % 2.33/2.55 (step @p1144 :rule trans :premises (@p1143 @p830)) % 2.33/2.55 (step @p1145 :rule arith_mult_neg :args (-1 @t405)) % 2.33/2.55 (step @p840 :rule evaluate :args (@t344)) % 2.33/2.55 (step @p841 :rule true_elim :premises (@p840)) % 2.33/2.55 (step @p1146 :rule and_intro :premises (@p841 @p1361)) % 2.33/2.55 (step @p1147 :rule modus_ponens :premises (@p1146 @p1145)) % 2.33/2.55 (step @p1148 :rule arith_sum_ub :premises (@p1360 @p1147)) % 2.33/2.55 (step @p1149 false :rule eq_resolve :premises (@p1148 @p1144)) % 2.33/2.55 (step-pop @p1363 :rule scope :premises (@p1149)) % 2.33/2.55 (step @p1150 :rule process_scope :premises (@p1363) :args (false)) % 2.33/2.55 (step @p1152 false :rule contra :premises (@p1360 @p1150)) % 2.33/2.55 (step-pop @p1364 :rule scope :premises (@p1152)) % 2.33/2.55 (step-pop @p1365 :rule scope :premises (@p1364)) % 2.33/2.55 (step @p1153 :rule process_scope :premises (@p1365) :args (false)) % 2.33/2.55 (assume-push @p1366 @t405) % 2.33/2.55 (assume-push @p1367 @t262) % 2.33/2.55 (step @p1158 :rule and_intro :premises (@p1367 @p1366)) % 2.33/2.55 (step-pop @p1368 :rule scope :premises (@p1158)) % 2.33/2.55 (step-pop @p1369 :rule scope :premises (@p1368)) % 2.33/2.55 (step @p1159 :rule process_scope :premises (@p1369) :args (@t409)) % 2.33/2.55 (step @p1162 :rule implies_elim :premises (@p1159)) % 2.33/2.55 (step @p1163 :rule resolution :premises (@p1162 @p1153) :args (true @t409)) % 2.33/2.55 (step @p1164 :rule not_and :premises (@p1163)) % 2.33/2.55 (step @p1165 :rule refl :args (@t410)) % 2.33/2.55 (step @p1166 :rule nary_cong :premises (@p1165 @p802) :args ((or @t410 @t331))) % 2.33/2.55 (assume-push @p1370 @t330) % 2.33/2.55 (assume-push @p1371 @t405) % 2.33/2.55 (step @p806 :rule evaluate :args (@t332)) % 2.33/2.55 (step @p807 :rule cong :premises (@p292 @p806) :args (@t333)) % 2.33/2.55 (step @p808 :rule cong :premises (@p807) :args (@t334)) % 2.33/2.55 (step @p809 :rule arith-leq-norm :args (@t122 -1)) % 2.33/2.55 (step @p810 :rule trans :premises (@p809 @p808)) % 2.33/2.55 (step @p811 :rule cong :premises (@p810) :args (@t336)) % 2.33/2.55 (step @p812 :rule trans :premises (@p811 @p802)) % 2.33/2.55 (step @p813 :rule arith-elim-leq :args (@t122 -1)) % 2.33/2.55 (step @p814 :rule symm :premises (@p813)) % 2.33/2.55 (step @p815 :rule cong :premises (@p814) :args (@t337)) % 2.33/2.55 (step @p816 :rule arith-elim-gt :args (@t122 -1)) % 2.33/2.55 (step @p817 :rule trans :premises (@p816 @p815)) % 2.33/2.55 (step @p818 :rule trans :premises (@p817 @p812)) % 2.33/2.55 (step @p819 :rule cong :premises (@p818) :args (@t338)) % 2.33/2.55 (step @p820 :rule symm :premises (@p819)) % 2.33/2.55 (step @p821 :rule trans :premises (@p810 @p820)) % 2.33/2.55 (step @p822 :rule arith-elim-lt :args (@t122 0)) % 2.33/2.55 (step @p823 :rule symm :premises (@p822)) % 2.33/2.55 (step @p1169 :rule eq_resolve :premises (@p1370 @p823)) % 2.33/2.55 (step @p1170 :rule int_tight_ub :premises (@p1169)) % 2.33/2.55 (step @p1171 :rule eq_resolve :premises (@p1170 @p821)) % 2.33/2.55 (step @p827 :rule symm :premises (@p818)) % 2.33/2.55 (step @p828 :rule trans :premises (@p812 @p827)) % 2.33/2.55 (assume-push @p1372 @t335) % 2.33/2.55 (step @p1173 :rule evaluate :args ((<= 0 -3))) % 2.33/2.55 (step @p1174 :rule evaluate :args ((+ -1 -2))) % 2.33/2.55 (step @p1140 :rule evaluate :args (@t407)) % 2.33/2.55 (step @p833 :rule refl :args (-1)) % 2.33/2.55 (step @p1175 :rule nary_cong :premises (@p833 @p1140) :args (@t411)) % 2.33/2.55 (step @p1176 :rule trans :premises (@p1175 @p1174)) % 2.33/2.55 (step @p836 :rule arith_poly_norm :args (@t343)) % 2.33/2.55 (step @p1177 :rule cong :premises (@p836 @p1176) :args ((<= @t342 @t411))) % 2.33/2.55 (step @p1178 :rule trans :premises (@p1177 @p1173)) % 2.33/2.55 (step @p1145 :rule arith_mult_neg :args (-1 @t405)) % 2.33/2.55 (step @p840 :rule evaluate :args (@t344)) % 2.33/2.55 (step @p841 :rule true_elim :premises (@p840)) % 2.33/2.55 (step @p1179 :rule and_intro :premises (@p841 @p1371)) % 2.33/2.55 (step @p1180 :rule modus_ponens :premises (@p1179 @p1145)) % 2.33/2.55 (step @p1181 :rule arith_sum_ub :premises (@p1372 @p1180)) % 2.33/2.55 (step @p1182 false :rule eq_resolve :premises (@p1181 @p1178)) % 2.33/2.55 (step-pop @p1373 :rule scope :premises (@p1182)) % 2.33/2.55 (step @p1183 :rule process_scope :premises (@p1373) :args (false)) % 2.33/2.55 (step @p1185 :rule eq_resolve :premises (@p1183 @p828)) % 2.33/2.55 (step @p1186 false :rule contra :premises (@p1185 @p1171)) % 2.33/2.55 (step-pop @p1374 :rule scope :premises (@p1186)) % 2.33/2.55 (step-pop @p1375 :rule scope :premises (@p1374)) % 2.33/2.55 (step @p1187 :rule process_scope :premises (@p1375) :args (false)) % 2.33/2.55 (assume-push @p1376 @t405) % 2.33/2.55 (assume-push @p1377 @t330) % 2.33/2.55 (step @p1192 :rule and_intro :premises (@p1377 @p1376)) % 2.33/2.55 (step-pop @p1378 :rule scope :premises (@p1192)) % 2.33/2.55 (step-pop @p1379 :rule scope :premises (@p1378)) % 2.33/2.55 (step @p1193 :rule process_scope :premises (@p1379) :args (@t412)) % 2.33/2.55 (step @p1196 :rule implies_elim :premises (@p1193)) % 2.33/2.55 (step @p1197 :rule resolution :premises (@p1196 @p1187) :args (true @t412)) % 2.33/2.55 (step @p1198 :rule not_and :premises (@p1197)) % 2.33/2.55 (step @p1199 :rule eq_resolve :premises (@p1198 @p1166)) % 2.33/2.55 (step @p1200 :rule chain_m_resolution :premises (@p865 @p801 @p873 @p385 @p1199 @p1164) :args ((or @t410 @t353) (@list false true true false true) (@list @t328 @t350 @t131 @t329 @t262))) % 2.33/2.55 (step @p1201 :rule chain_m_resolution :premises (@p1200 @p1135) :args (@t353 @t204 (@list @t405))) % 2.33/2.55 (step @p1202 :rule chain_m_resolution :premises (@p1039 @p1201) :args (@t394 @t204 (@list @t353))) % 2.33/2.55 (step @p1203 :rule cnf_ite_pos1 :args (@t394)) % 2.33/2.55 (step @p1204 :rule reordering :premises (@p1203) :args ((or @t413 @t393 @t403))) % 2.33/2.55 (step @p1205 :rule chain_m_resolution :premises (@p1204 @p1110 @p1202) :args (@t413 @t191 (@list @t393 @t394))) % 2.33/2.55 (step @p1206 :rule bool-double-not-elim :args (@t369)) % 2.33/2.55 (step @p1207 :rule nary_cong :premises (@p408 @p1206) :args ((or @t229 (not @t413)))) % 2.33/2.55 (assume-push @p1380 @t413) % 2.33/2.55 (assume-push @p1381 @t203) % 2.33/2.55 (step @p1210 :rule arith-elim-lt :args (@t137 0/1)) % 2.33/2.55 (step @p1211 :rule symm :premises (@p1210)) % 2.33/2.55 (step @p1212 :rule eq_resolve :premises (@p1380 @p1211)) % 2.33/2.55 (step @p1213 :rule eq_resolve :premises (@p1212 @p1210)) % 2.33/2.55 (step @p1214 :rule cong :premises (@p1210) :args ((not @t414))) % 2.33/2.55 (step @p1215 :rule trans :premises (@p1214 @p1206)) % 2.33/2.55 (assume-push @p1382 @t414) % 2.33/2.55 (step @p354 :rule evaluate :args (@t211)) % 2.33/2.55 (step @p355 :rule evaluate :args (@t212)) % 2.33/2.55 (step @p356 :rule evaluate :args (@t213)) % 2.33/2.55 (step @p357 :rule refl :args (0/1)) % 2.33/2.55 (step @p358 :rule nary_cong :premises (@p357 @p356) :args (@t214)) % 2.33/2.55 (step @p359 :rule trans :premises (@p358 @p355)) % 2.33/2.55 (step @p1217 :rule arith_poly_norm :args ((= @t415 0/1))) % 2.33/2.55 (step @p1218 :rule cong :premises (@p1217 @p359) :args (@t416)) % 2.33/2.55 (step @p1219 :rule trans :premises (@p1218 @p354)) % 2.33/2.55 (step @p1220 :rule cong :premises (@p1219) :args ((not @t416))) % 2.33/2.55 (step @p1221 :rule trans :premises (@p1220 @p29)) % 2.33/2.55 (step @p1222 :rule arith-elim-lt :args (@t415 @t214)) % 2.33/2.55 (step @p1223 :rule trans :premises (@p1222 @p1221)) % 2.33/2.55 (step @p431 :rule arith_mult_neg :args (-1/1 @t200)) % 2.33/2.55 (step @p432 :rule symm :premises (@p290)) % 2.33/2.55 (step @p433 :rule eq_resolve :premises (@p328 @p432)) % 2.33/2.55 (step @p370 :rule evaluate :args (@t217)) % 2.33/2.55 (step @p371 :rule true_elim :premises (@p370)) % 2.33/2.55 (step @p434 :rule and_intro :premises (@p371 @p433)) % 2.33/2.55 (step @p435 :rule modus_ponens :premises (@p434 @p431)) % 2.33/2.55 (step @p1224 :rule arith_sum_ub :premises (@p1382 @p435)) % 2.33/2.55 (step @p1225 false :rule eq_resolve :premises (@p1224 @p1223)) % 2.33/2.55 (step-pop @p1383 :rule scope :premises (@p1225)) % 2.33/2.55 (step @p1226 :rule process_scope :premises (@p1383) :args (false)) % 2.33/2.55 (step @p1228 :rule eq_resolve :premises (@p1226 @p1215)) % 2.33/2.55 (step @p1229 false :rule contra :premises (@p1228 @p1213)) % 2.33/2.55 (step-pop @p1384 :rule scope :premises (@p1229)) % 2.33/2.55 (step-pop @p1385 :rule scope :premises (@p1384)) % 2.33/2.55 (step @p1230 :rule process_scope :premises (@p1385) :args (false)) % 2.33/2.55 (assume-push @p1386 @t203) % 2.33/2.55 (assume-push @p1387 @t413) % 2.33/2.55 (step @p1235 :rule and_intro :premises (@p1387 @p328)) % 2.33/2.55 (step-pop @p1388 :rule scope :premises (@p1235)) % 2.33/2.55 (step-pop @p1389 :rule scope :premises (@p1388)) % 2.33/2.55 (step @p1236 :rule process_scope :premises (@p1389) :args (@t417)) % 2.33/2.55 (step @p1239 :rule implies_elim :premises (@p1236)) % 2.33/2.55 (step @p1240 :rule resolution :premises (@p1239 @p1230) :args (true @t417)) % 2.33/2.55 (step @p1241 :rule not_and :premises (@p1240)) % 2.33/2.55 (step @p1242 :rule eq_resolve :premises (@p1241 @p1207)) % 2.33/2.55 (step @p1243 false :rule chain_m_resolution :premises (@p1242 @p1205 @p328) :args (false @t325 (@list @t369 @t192))) % 2.33/2.55 ) % 2.33/2.55 % SZS output end Proof % 2.33/2.55 % cvc5 exiting %------------------------------------------------------------------------------