%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : DAT329_1 : TPTP v9.2.1. Released v7.0.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % Computer : n007.cluster.edu % Model : x86_64 x86_64 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz % Memory : 8042.1875MB % OS : Linux 3.10.0-693.el7.x86_64 % CPULimit : 300s % WCLimit : 300s % DateTime : Wed Jun 3 08:14:44 AM UTC 2026 % Result : Unsatisfiable 45.44s 45.68s % Output : Proof 45.44s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : DAT329_1 : TPTP v9.2.1. Released v7.0.0. % 0.12/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.18/0.34 % Computer : n007.cluster.edu % 0.18/0.34 % Model : x86_64 x86_64 % 0.18/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.18/0.34 % Memory : 8042.1875MB % 0.18/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.18/0.34 % CPULimit : 300 % 0.18/0.34 % WCLimit : 300 % 0.18/0.34 % DateTime : Mon Jun 1 22:31:26 EDT 2026 % 0.18/0.34 % CPUTime : % 0.28/0.50 %----Proving TF0_ARI % 0.28/0.51 --- Run --finite-model-find --decision=internal at 45... % 45.33/45.58 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 60... % 45.44/45.68 % SZS status Unsatisfiable % 45.44/45.68 % SZS output start Proof % 45.44/45.77 ( % 45.44/45.77 (declare-sort |tptp.'Queue'| 0) % 45.44/45.77 (declare-sort |tptp.'Array[Int,Int]'| 0) % 45.44/45.77 (declare-const |tptp.'const:(Int)>Array[Int,Int]'| (-> Int |tptp.'Array[Int,Int]'|)) % 45.44/45.77 (declare-const tptp.elems (-> |tptp.'Queue'| |tptp.'Array[Int,Int]'|)) % 45.44/45.77 (declare-const tptp.size (-> |tptp.'Queue'| Int)) % 45.44/45.77 (declare-const |tptp.'store:(Array[Int,Int]*Int*Int)>Array[Int,Int]'| (-> |tptp.'Array[Int,Int]'| Int Int |tptp.'Array[Int,Int]'|)) % 45.44/45.77 (declare-const tptp.key (-> Int Int)) % 45.44/45.77 (declare-const |tptp.'select:(Array[Int,Int]*Int)>Int'| (-> |tptp.'Array[Int,Int]'| Int Int)) % 45.44/45.77 (define @t1 () (@var "A__questionmark_k" Int)) % 45.44/45.77 (define @t2 () (@var "A__questionmark_ee" |tptp.'Array[Int,Int]'|)) % 45.44/45.77 (define @t3 () (tptp.key (|tptp.'select:(Array[Int,Int]*Int)>Int'| @t2 @t1))) % 45.44/45.77 (define @t4 () (@var "A__questionmark_j" Int)) % 45.44/45.77 (define @t5 () (tptp.key (|tptp.'select:(Array[Int,Int]*Int)>Int'| @t2 @t4))) % 45.44/45.77 (define @t6 () (@var "A__questionmark_v_1_2" Int)) % 45.44/45.77 (define @t7 () (@var "A__questionmark_v_0_1" |tptp.'Array[Int,Int]'|)) % 45.44/45.77 (define @t8 () (@var "A__questionmark_i" Int)) % 45.44/45.77 (define @t9 () (|tptp.'select:(Array[Int,Int]*Int)>Int'| @t7 @t8)) % 45.44/45.77 (define @t10 () (= @t2 (|tptp.'store:(Array[Int,Int]*Int*Int)>Array[Int,Int]'| (|tptp.'store:(Array[Int,Int]*Int*Int)>Array[Int,Int]'| @t7 @t6 @t9) @t8 (|tptp.'select:(Array[Int,Int]*Int)>Int'| @t7 @t6)))) % 45.44/45.77 (define @t11 () (not (= @t4 @t6))) % 45.44/45.77 (define @t12 () (< @t1 @t4)) % 45.44/45.77 (define @t13 () (>= @t1 0)) % 45.44/45.77 (define @t14 () (@var "A__questionmark_pp" |tptp.'Queue'|)) % 45.44/45.77 (define @t15 () (tptp.size @t14)) % 45.44/45.77 (define @t16 () (< @t4 @t15)) % 45.44/45.77 (define @t17 () (> @t4 0)) % 45.44/45.77 (define @t18 () (and @t17 @t16 @t13 @t12 @t11 @t10)) % 45.44/45.77 (define @t19 () (=> @t18 (<= @t5 @t3))) % 45.44/45.77 (define @t20 () (- @t8 1)) % 45.44/45.77 (define @t21 () (= @t6 @t20)) % 45.44/45.77 (define @t22 () (and @t21 @t19)) % 45.44/45.77 (define @t23 () (@list @t6)) % 45.44/45.77 (define @t24 () (exists @t23 @t22)) % 45.44/45.77 (define @t25 () (@list @t4 @t1 @t2)) % 45.44/45.77 (define @t26 () (forall @t25 @t24)) % 45.44/45.77 (define @t27 () (|tptp.'select:(Array[Int,Int]*Int)>Int'| @t7 @t20)) % 45.44/45.77 (define @t28 () (tptp.key @t27)) % 45.44/45.77 (define @t29 () (tptp.key @t9)) % 45.44/45.77 (define @t30 () (<= @t29 @t28)) % 45.44/45.77 (define @t31 () (not @t30)) % 45.44/45.77 (define @t32 () (tptp.key (|tptp.'select:(Array[Int,Int]*Int)>Int'| @t7 @t1))) % 45.44/45.77 (define @t33 () (tptp.key (|tptp.'select:(Array[Int,Int]*Int)>Int'| @t7 @t4))) % 45.44/45.77 (define @t34 () (= @t8 @t4)) % 45.44/45.77 (define @t35 () (not @t34)) % 45.44/45.77 (define @t36 () (and @t17 @t16 @t13 @t12 @t35)) % 45.44/45.77 (define @t37 () (=> @t36 (<= @t33 @t32))) % 45.44/45.77 (define @t38 () (@list @t4 @t1)) % 45.44/45.77 (define @t39 () (forall @t38 @t37)) % 45.44/45.77 (define @t40 () (>= @t8 0)) % 45.44/45.77 (define @t41 () (and @t40 @t39 @t31 (> @t8 0) (< @t8 @t15))) % 45.44/45.77 (define @t42 () (=> @t41 @t26)) % 45.44/45.77 (define @t43 () (tptp.elems @t14)) % 45.44/45.77 (define @t44 () (= @t7 @t43)) % 45.44/45.77 (define @t45 () (and @t44 @t42)) % 45.44/45.77 (define @t46 () (@list @t7)) % 45.44/45.77 (define @t47 () (exists @t46 @t45)) % 45.44/45.77 (define @t48 () (@list @t8 @t14)) % 45.44/45.77 (define @t49 () (forall @t48 @t47)) % 45.44/45.77 (define @t50 () (not @t49)) % 45.44/45.77 (define @t51 () (@var "E" Int)) % 45.44/45.77 (define @t52 () (@var "I" Int)) % 45.44/45.77 (define @t53 () (@var "A" |tptp.'Array[Int,Int]'|)) % 45.44/45.77 (define @t54 () (|tptp.'store:(Array[Int,Int]*Int*Int)>Array[Int,Int]'| @t53 @t52 @t51)) % 45.44/45.77 (define @t55 () (|tptp.'select:(Array[Int,Int]*Int)>Int'| @t54 @t52)) % 45.44/45.77 (define @t56 () (= @t55 @t51)) % 45.44/45.77 (define @t57 () (forall (@list @t53 @t52 @t51) @t56)) % 45.44/45.77 (define @t58 () (@var "J" Int)) % 45.44/45.77 (define @t59 () (= (|tptp.'select:(Array[Int,Int]*Int)>Int'| @t54 @t58) (|tptp.'select:(Array[Int,Int]*Int)>Int'| @t53 @t58))) % 45.44/45.77 (define @t60 () (= @t52 @t58)) % 45.44/45.77 (define @t61 () (not @t60)) % 45.44/45.77 (define @t62 () (@list @t53 @t52 @t58 @t51)) % 45.44/45.77 (define @t63 () (forall @t62 (=> @t61 @t59))) % 45.44/45.77 (define @t64 () (@var "B" |tptp.'Array[Int,Int]'|)) % 45.44/45.77 (define @t65 () (@var "BOUND_VARIABLE_7749" Int)) % 45.44/45.77 (define @t66 () (+ -1 @t8)) % 45.44/45.77 (define @t67 () (|tptp.'select:(Array[Int,Int]*Int)>Int'| @t43 @t66)) % 45.44/45.77 (define @t68 () (|tptp.'select:(Array[Int,Int]*Int)>Int'| @t43 @t8)) % 45.44/45.77 (define @t69 () (|tptp.'store:(Array[Int,Int]*Int*Int)>Array[Int,Int]'| (|tptp.'store:(Array[Int,Int]*Int*Int)>Array[Int,Int]'| @t43 @t66 @t68) @t8 @t67)) % 45.44/45.77 (define @t70 () (@var "BOUND_VARIABLE_7747" Int)) % 45.44/45.77 (define @t71 () (not (>= (+ (tptp.key (|tptp.'select:(Array[Int,Int]*Int)>Int'| @t69 @t70)) (* -1 (tptp.key (|tptp.'select:(Array[Int,Int]*Int)>Int'| @t69 @t65)))) 1))) % 45.44/45.77 (define @t72 () (= @t8 (+ 1 @t70))) % 45.44/45.77 (define @t73 () (not (>= (+ @t70 (* -1 @t65)) 1))) % 45.44/45.77 (define @t74 () (not (>= @t65 0))) % 45.44/45.77 (define @t75 () (* -1 @t15)) % 45.44/45.77 (define @t76 () (>= (+ @t70 @t75) 0)) % 45.44/45.77 (define @t77 () (not (>= @t70 1))) % 45.44/45.77 (define @t78 () (+ @t8 @t75)) % 45.44/45.77 (define @t79 () (>= @t78 0)) % 45.44/45.77 (define @t80 () (>= @t8 1)) % 45.44/45.77 (define @t81 () (not @t80)) % 45.44/45.77 (define @t82 () (>= (+ (tptp.key @t68) (* -1 (tptp.key @t67))) 1)) % 45.44/45.77 (define @t83 () (not @t82)) % 45.44/45.77 (define @t84 () (@var "BOUND_VARIABLE_7708" Int)) % 45.44/45.77 (define @t85 () (@var "BOUND_VARIABLE_7706" Int)) % 45.44/45.77 (define @t86 () (not (>= (+ @t85 (* -1 @t84)) 1))) % 45.44/45.77 (define @t87 () (not (>= @t84 0))) % 45.44/45.77 (define @t88 () (not (>= @t85 1))) % 45.44/45.77 (define @t89 () (@list @t85 @t84)) % 45.44/45.77 (define @t90 () (forall @t89 (or @t88 (>= (+ @t85 @t75) 0) @t87 @t86 (= @t8 @t85) (not (>= (+ (tptp.key (|tptp.'select:(Array[Int,Int]*Int)>Int'| @t43 @t85)) (* -1 (tptp.key (|tptp.'select:(Array[Int,Int]*Int)>Int'| @t43 @t84)))) 1))))) % 45.44/45.77 (define @t91 () (not @t90)) % 45.44/45.77 (define @t92 () (not @t40)) % 45.44/45.77 (define @t93 () (or @t92 @t91 @t83 @t81 @t79 @t77 @t76 @t74 @t73 @t72 @t71)) % 45.44/45.77 (define @t94 () (or @t77 @t76 @t74 @t73 @t72 @t71)) % 45.44/45.77 (define @t95 () (or @t92 @t91 @t83 @t81 @t79 @t94)) % 45.44/45.77 (define @t96 () (@list @t8 @t14 @t70 @t65)) % 45.44/45.77 (define @t97 () (forall @t96 @t95)) % 45.44/45.77 (define @t98 () (@list @t70 @t65)) % 45.44/45.77 (define @t99 () (forall @t98 @t95)) % 45.44/45.77 (define @t100 () (forall @t98 @t94)) % 45.44/45.77 (define @t101 () (@list @t4 @t1)) % 45.44/45.77 (define @t102 () (or @t92 @t91 @t83 @t81 @t79 @t100)) % 45.44/45.77 (define @t103 () (+ 1 @t4)) % 45.44/45.77 (define @t104 () (= @t8 @t103)) % 45.44/45.77 (define @t105 () (+ @t4 (* -1 @t1))) % 45.44/45.77 (define @t106 () (>= @t105 1)) % 45.44/45.77 (define @t107 () (not @t106)) % 45.44/45.77 (define @t108 () (not @t13)) % 45.44/45.77 (define @t109 () (+ @t4 @t75)) % 45.44/45.77 (define @t110 () (>= @t109 0)) % 45.44/45.77 (define @t111 () (>= @t4 1)) % 45.44/45.77 (define @t112 () (not @t111)) % 45.44/45.77 (define @t113 () (forall @t38 (or @t112 @t110 @t108 @t107 @t104 (not (>= (+ (tptp.key (|tptp.'select:(Array[Int,Int]*Int)>Int'| @t69 @t4)) (* -1 (tptp.key (|tptp.'select:(Array[Int,Int]*Int)>Int'| @t69 @t1)))) 1))))) % 45.44/45.77 (define @t114 () (not @t113)) % 45.44/45.77 (define @t115 () (not @t114)) % 45.44/45.77 (define @t116 () (not @t79)) % 45.44/45.77 (define @t117 () (not @t116)) % 45.44/45.77 (define @t118 () (or @t92 @t91 @t83 @t81 @t117 @t115)) % 45.44/45.77 (define @t119 () (@var "BOUND_VARIABLE_7643" Int)) % 45.44/45.77 (define @t120 () (@var "BOUND_VARIABLE_7641" Int)) % 45.44/45.77 (define @t121 () (@list @t120 @t119)) % 45.44/45.77 (define @t122 () (forall @t121 @t114)) % 45.44/45.77 (define @t123 () (forall @t121 @t116)) % 45.44/45.77 (define @t124 () (forall @t121 @t80)) % 45.44/45.77 (define @t125 () (forall @t121 @t82)) % 45.44/45.77 (define @t126 () (= @t8 @t120)) % 45.44/45.77 (define @t127 () (not (>= (+ @t120 (* -1 @t119)) 1))) % 45.44/45.77 (define @t128 () (not (>= @t119 0))) % 45.44/45.77 (define @t129 () (>= (+ @t120 @t75) 0)) % 45.44/45.77 (define @t130 () (not (>= @t120 1))) % 45.44/45.77 (define @t131 () (or @t130 @t129 @t128 @t127 @t126 (not (>= (+ (tptp.key (|tptp.'select:(Array[Int,Int]*Int)>Int'| @t43 @t120)) (* -1 (tptp.key (|tptp.'select:(Array[Int,Int]*Int)>Int'| @t43 @t119)))) 1)))) % 45.44/45.77 (define @t132 () (forall @t121 @t131)) % 45.44/45.77 (define @t133 () (@list @t120 @t119)) % 45.44/45.77 (define @t134 () (forall @t121 @t40)) % 45.44/45.77 (define @t135 () (and @t134 @t132 @t125 @t124 @t123 @t122)) % 45.44/45.77 (define @t136 () (and @t40 @t131 @t82 @t80 @t116 @t114)) % 45.44/45.77 (define @t137 () (not (= @t43 @t43))) % 45.44/45.77 (define @t138 () (or @t137 @t136)) % 45.44/45.77 (define @t139 () (|tptp.'select:(Array[Int,Int]*Int)>Int'| @t7 @t66)) % 45.44/45.77 (define @t140 () (|tptp.'store:(Array[Int,Int]*Int*Int)>Array[Int,Int]'| (|tptp.'store:(Array[Int,Int]*Int*Int)>Array[Int,Int]'| @t7 @t66 @t9) @t8 @t139)) % 45.44/45.77 (define @t141 () (not (>= (+ (tptp.key (|tptp.'select:(Array[Int,Int]*Int)>Int'| @t140 @t4)) (* -1 (tptp.key (|tptp.'select:(Array[Int,Int]*Int)>Int'| @t140 @t1)))) 1))) % 45.44/45.77 (define @t142 () (or @t112 @t110 @t108 @t107 @t104 @t141)) % 45.44/45.77 (define @t143 () (forall @t38 @t142)) % 45.44/45.77 (define @t144 () (not @t143)) % 45.44/45.77 (define @t145 () (tptp.key @t139)) % 45.44/45.77 (define @t146 () (+ @t29 (* -1 @t145))) % 45.44/45.77 (define @t147 () (>= @t146 1)) % 45.44/45.77 (define @t148 () (or @t130 @t129 @t128 @t127 @t126 (not (>= (+ (tptp.key (|tptp.'select:(Array[Int,Int]*Int)>Int'| @t7 @t120)) (* -1 (tptp.key (|tptp.'select:(Array[Int,Int]*Int)>Int'| @t7 @t119)))) 1)))) % 45.44/45.77 (define @t149 () (and @t40 @t148 @t147 @t80 @t116 @t144)) % 45.44/45.77 (define @t150 () (not @t44)) % 45.44/45.77 (define @t151 () (or @t150 @t150 @t149)) % 45.44/45.77 (define @t152 () (or @t150 @t149)) % 45.44/45.77 (define @t153 () (forall @t46 @t152)) % 45.44/45.77 (define @t154 () (forall @t121 @t153)) % 45.44/45.77 (define @t155 () (forall (@list @t120 @t119 @t7) @t152)) % 45.44/45.77 (define @t156 () (forall (@list @t7 @t120 @t119) @t152)) % 45.44/45.77 (define @t157 () (forall @t121 @t152)) % 45.44/45.77 (define @t158 () (forall @t121 @t144)) % 45.44/45.77 (define @t159 () (forall @t121 @t147)) % 45.44/45.77 (define @t160 () (forall @t121 @t148)) % 45.44/45.77 (define @t161 () (and @t134 @t160 @t159 @t124 @t123 @t158)) % 45.44/45.77 (define @t162 () (forall @t121 @t149)) % 45.44/45.77 (define @t163 () (or @t150 @t162)) % 45.44/45.77 (define @t164 () (+ @t33 (* -1 @t32))) % 45.44/45.77 (define @t165 () (>= @t164 1)) % 45.44/45.77 (define @t166 () (not @t165)) % 45.44/45.77 (define @t167 () (or @t112 @t110 @t108 @t107 @t34 @t166)) % 45.44/45.77 (define @t168 () (forall @t38 @t167)) % 45.44/45.77 (define @t169 () (and @t40 @t168 @t147 @t80 @t116 @t144)) % 45.44/45.77 (define @t170 () (and @t40 @t168 @t147 @t80 @t116)) % 45.44/45.77 (define @t171 () (=> @t170 @t143)) % 45.44/45.77 (define @t172 () (and @t44 @t171)) % 45.44/45.77 (define @t173 () (forall @t46 (not @t172))) % 45.44/45.77 (define @t174 () (not @t173)) % 45.44/45.77 (define @t175 () (not (= @t140 @t140))) % 45.44/45.77 (define @t176 () (or @t112 @t110 @t108 @t107 @t104 @t175 @t141)) % 45.44/45.77 (define @t177 () (+ @t5 (* -1 @t3))) % 45.44/45.77 (define @t178 () (>= @t177 1)) % 45.44/45.77 (define @t179 () (not @t178)) % 45.44/45.77 (define @t180 () (= @t2 @t140)) % 45.44/45.77 (define @t181 () (not @t180)) % 45.44/45.77 (define @t182 () (or @t181 @t112 @t110 @t108 @t107 @t104 @t181 @t179)) % 45.44/45.77 (define @t183 () (@list @t2)) % 45.44/45.77 (define @t184 () (or @t112 @t110 @t108 @t107 @t104 @t181 @t179)) % 45.44/45.77 (define @t185 () (forall @t183 @t184)) % 45.44/45.77 (define @t186 () (forall @t38 @t185)) % 45.44/45.77 (define @t187 () (not @t104)) % 45.44/45.77 (define @t188 () (not @t187)) % 45.44/45.77 (define @t189 () (not @t110)) % 45.44/45.77 (define @t190 () (not @t189)) % 45.44/45.77 (define @t191 () (or @t112 @t190 @t108 @t107 @t188 @t181 @t179)) % 45.44/45.77 (define @t192 () (and @t111 @t189 @t13 @t106 @t187 @t180 @t178)) % 45.44/45.77 (define @t193 () (= @t4 @t66)) % 45.44/45.77 (define @t194 () (not @t193)) % 45.44/45.77 (define @t195 () (and @t111 @t189 @t13 @t106 @t194 @t180 @t178)) % 45.44/45.77 (define @t196 () (+ 1 @t66)) % 45.44/45.77 (define @t197 () (= @t8 @t196)) % 45.44/45.77 (define @t198 () (not @t197)) % 45.44/45.77 (define @t199 () (or @t198 @t195)) % 45.44/45.77 (define @t200 () (and @t111 @t189 @t13 @t106 @t11 @t10 @t178)) % 45.44/45.77 (define @t201 () (+ 1 @t6)) % 45.44/45.77 (define @t202 () (= @t8 @t201)) % 45.44/45.77 (define @t203 () (not @t202)) % 45.44/45.77 (define @t204 () (= @t6 @t66)) % 45.44/45.77 (define @t205 () (* -1 (- @t6 @t66))) % 45.44/45.77 (define @t206 () (* 1 (- @t8 @t201))) % 45.44/45.77 (define @t207 () (or @t203 @t203 @t200)) % 45.44/45.77 (define @t208 () (or @t203 @t200)) % 45.44/45.77 (define @t209 () (and @t111 @t189 @t13 @t106 @t11 @t10)) % 45.44/45.77 (define @t210 () (=> @t209 @t179)) % 45.44/45.77 (define @t211 () (and @t202 @t210)) % 45.44/45.77 (define @t212 () (forall @t23 (not @t211))) % 45.44/45.77 (define @t213 () (not @t212)) % 45.44/45.77 (define @t214 () (+ @t3 1)) % 45.44/45.77 (define @t215 () (>= @t5 @t214)) % 45.44/45.77 (define @t216 () (+ @t105 1)) % 45.44/45.77 (define @t217 () (>= @t1 @t4)) % 45.44/45.77 (define @t218 () (>= @t4 @t15)) % 45.44/45.77 (define @t219 () (+ 0 1)) % 45.44/45.77 (define @t220 () (>= @t4 @t219)) % 45.44/45.77 (define @t221 () (* -1 1)) % 45.44/45.77 (define @t222 () (+ @t8 @t221)) % 45.44/45.77 (define @t223 () (>= @t8 @t15)) % 45.44/45.77 (define @t224 () (>= @t8 @t219)) % 45.44/45.77 (define @t225 () (+ @t145 1)) % 45.44/45.77 (define @t226 () (>= @t29 @t225)) % 45.44/45.77 (define @t227 () (not @t35)) % 45.44/45.77 (define @t228 () (or @t112 @t190 @t108 @t107 @t227)) % 45.44/45.77 (define @t229 () (and @t111 @t189 @t13 @t106 @t35)) % 45.44/45.77 (define @t230 () (+ @t32 1)) % 45.44/45.77 (define @t231 () (>= @t33 @t230)) % 45.44/45.77 (define @t232 () (forall @t96 @t93)) % 45.44/45.77 (define @t233 () (@quantifiers_skolemize @t232 3)) % 45.44/45.77 (define @t234 () (@quantifiers_skolemize @t232 0)) % 45.44/45.77 (define @t235 () (+ -1 @t234)) % 45.44/45.77 (define @t236 () (@quantifiers_skolemize @t232 1)) % 45.44/45.77 (define @t237 () (tptp.elems @t236)) % 45.44/45.77 (define @t238 () (|tptp.'select:(Array[Int,Int]*Int)>Int'| @t237 @t235)) % 45.44/45.77 (define @t239 () (|tptp.'select:(Array[Int,Int]*Int)>Int'| @t237 @t234)) % 45.44/45.77 (define @t240 () (|tptp.'store:(Array[Int,Int]*Int*Int)>Array[Int,Int]'| @t237 @t235 @t239)) % 45.44/45.77 (define @t241 () (|tptp.'store:(Array[Int,Int]*Int*Int)>Array[Int,Int]'| @t240 @t234 @t238)) % 45.44/45.77 (define @t242 () (|tptp.'select:(Array[Int,Int]*Int)>Int'| @t241 @t233)) % 45.44/45.77 (define @t243 () (tptp.key @t242)) % 45.44/45.77 (define @t244 () (* -1 @t243)) % 45.44/45.77 (define @t245 () (@quantifiers_skolemize @t232 2)) % 45.44/45.77 (define @t246 () (|tptp.'select:(Array[Int,Int]*Int)>Int'| @t241 @t245)) % 45.44/45.77 (define @t247 () (tptp.key @t246)) % 45.44/45.77 (define @t248 () (+ @t247 @t244)) % 45.44/45.77 (define @t249 () (>= @t248 1)) % 45.44/45.77 (define @t250 () (not @t249)) % 45.44/45.77 (define @t251 () (+ 1 @t245)) % 45.44/45.77 (define @t252 () (= @t234 @t251)) % 45.44/45.77 (define @t253 () (* -1 @t233)) % 45.44/45.77 (define @t254 () (+ @t245 @t253)) % 45.44/45.77 (define @t255 () (>= @t254 1)) % 45.44/45.77 (define @t256 () (not @t255)) % 45.44/45.77 (define @t257 () (>= @t233 0)) % 45.44/45.77 (define @t258 () (not @t257)) % 45.44/45.77 (define @t259 () (tptp.size @t236)) % 45.44/45.77 (define @t260 () (* -1 @t259)) % 45.44/45.77 (define @t261 () (>= (+ @t245 @t260) 0)) % 45.44/45.77 (define @t262 () (>= @t245 1)) % 45.44/45.77 (define @t263 () (not @t262)) % 45.44/45.77 (define @t264 () (+ @t234 @t260)) % 45.44/45.77 (define @t265 () (>= @t264 0)) % 45.44/45.77 (define @t266 () (>= @t234 1)) % 45.44/45.77 (define @t267 () (not @t266)) % 45.44/45.77 (define @t268 () (tptp.key @t238)) % 45.44/45.77 (define @t269 () (* -1 @t268)) % 45.44/45.77 (define @t270 () (tptp.key @t239)) % 45.44/45.77 (define @t271 () (+ @t270 @t269)) % 45.44/45.77 (define @t272 () (>= @t271 1)) % 45.44/45.77 (define @t273 () (not @t272)) % 45.44/45.77 (define @t274 () (not (>= (+ (tptp.key (|tptp.'select:(Array[Int,Int]*Int)>Int'| @t237 @t85)) (* -1 (tptp.key (|tptp.'select:(Array[Int,Int]*Int)>Int'| @t237 @t84)))) 1))) % 45.44/45.77 (define @t275 () (= @t85 @t234)) % 45.44/45.77 (define @t276 () (>= (+ @t85 @t260) 0)) % 45.44/45.77 (define @t277 () (forall @t89 (or @t88 @t276 @t87 @t86 @t275 @t274))) % 45.44/45.77 (define @t278 () (not @t277)) % 45.44/45.77 (define @t279 () (not (>= @t234 0))) % 45.44/45.77 (define @t280 () (or @t279 @t278 @t273 @t267 @t265 @t263 @t261 @t258 @t256 @t252 @t250)) % 45.44/45.77 (define @t281 () (not @t280)) % 45.44/45.77 (define @t282 () (not @t232)) % 45.44/45.77 (define @t283 () (= @t234 @t85)) % 45.44/45.77 (define @t284 () (or @t88 @t276 @t87 @t86 @t283 @t274)) % 45.44/45.77 (define @t285 () (forall @t89 @t284)) % 45.44/45.77 (define @t286 () (not @t285)) % 45.44/45.77 (define @t287 () (or @t279 @t286 @t273 @t267 @t265 @t263 @t261 @t258 @t256 @t252 @t250)) % 45.44/45.77 (define @t288 () (not @t287)) % 45.44/45.77 (define @t289 () (@list true)) % 45.44/45.77 (define @t290 () (@list @t280)) % 45.44/45.77 (define @t291 () (|tptp.'select:(Array[Int,Int]*Int)>Int'| @t237 @t245)) % 45.44/45.77 (define @t292 () (tptp.key @t291)) % 45.44/45.77 (define @t293 () (* -1 @t292)) % 45.44/45.77 (define @t294 () (|tptp.'select:(Array[Int,Int]*Int)>Int'| @t237 @t233)) % 45.44/45.77 (define @t295 () (tptp.key @t294)) % 45.44/45.77 (define @t296 () (+ @t295 @t293)) % 45.44/45.77 (define @t297 () (>= @t296 0)) % 45.44/45.77 (define @t298 () (* -1 @t295)) % 45.44/45.77 (define @t299 () (+ @t298 @t292)) % 45.44/45.77 (define @t300 () (+ @t296 1)) % 45.44/45.77 (define @t301 () (+ @t292 @t298)) % 45.44/45.77 (define @t302 () (>= @t301 1)) % 45.44/45.77 (define @t303 () (not @t302)) % 45.44/45.77 (define @t304 () (- @t234 @t245)) % 45.44/45.77 (define @t305 () (= @t234 @t245)) % 45.44/45.77 (define @t306 () (= @t245 @t234)) % 45.44/45.77 (define @t307 () (or @t263 @t261 @t258 @t256 @t306 @t303)) % 45.44/45.77 (define @t308 () (or @t263 @t261 @t258 @t256 @t305 @t297)) % 45.44/45.77 (define @t309 () (@list false)) % 45.44/45.77 (define @t310 () (@list @t277)) % 45.44/45.77 (define @t311 () (+ @t234 @t253)) % 45.44/45.77 (define @t312 () (>= @t311 1)) % 45.44/45.77 (define @t313 () (not @t305)) % 45.44/45.77 (define @t314 () (not @t312)) % 45.44/45.77 (define @t315 () (not @t314)) % 45.44/45.77 (define @t316 () (* -1 @t245)) % 45.44/45.77 (define @t317 () (+ @t234 @t316)) % 45.44/45.77 (define @t318 () (= @t317 0)) % 45.44/45.77 (define @t319 () (>= 0 0)) % 45.44/45.77 (define @t320 () (* -1 0)) % 45.44/45.77 (define @t321 () (+ @t320 1 @t221)) % 45.44/45.77 (define @t322 () (= (+ @t245 0 @t316 0) 0)) % 45.44/45.77 (define @t323 () (* 0 @t234)) % 45.44/45.77 (define @t324 () (= @t323 0)) % 45.44/45.77 (define @t325 () (* 0 @t233)) % 45.44/45.77 (define @t326 () (= @t325 0)) % 45.44/45.77 (define @t327 () (+ @t245 @t325 @t316 @t323)) % 45.44/45.77 (define @t328 () (* -1 @t254)) % 45.44/45.77 (define @t329 () (+ (* -1 @t317) @t311 @t328)) % 45.44/45.77 (define @t330 () (= @t329 @t327)) % 45.44/45.77 (define @t331 () (>= @t329 @t321)) % 45.44/45.77 (define @t332 () (< -1 0)) % 45.44/45.77 (define @t333 () (* 1 @t304)) % 45.44/45.77 (define @t334 () (* 1 (- @t317 0))) % 45.44/45.77 (define @t335 () (= @t334 @t333)) % 45.44/45.77 (define @t336 () (= @t318 @t305)) % 45.44/45.77 (define @t337 () (and @t255 @t314 @t305)) % 45.44/45.77 (define @t338 () (= @t245 @t233)) % 45.44/45.77 (define @t339 () (not @t338)) % 45.44/45.77 (define @t340 () (= @t234 @t233)) % 45.44/45.77 (define @t341 () (not @t340)) % 45.44/45.77 (define @t342 () (>= -1 0)) % 45.44/45.77 (define @t343 () (+ -1 @t233)) % 45.44/45.77 (define @t344 () (- @t343 @t233)) % 45.44/45.77 (define @t345 () (+ @t233 @t221)) % 45.44/45.77 (define @t346 () (+ @t316 @t233)) % 45.44/45.77 (define @t347 () (+ @t245 @t328)) % 45.44/45.77 (define @t348 () (and @t255 @t305)) % 45.44/45.77 (define @t349 () (|tptp.'select:(Array[Int,Int]*Int)>Int'| @t241 @t234)) % 45.44/45.77 (define @t350 () (= @t238 @t349)) % 45.44/45.77 (define @t351 () (= @t268 @t247)) % 45.44/45.77 (define @t352 () (and @t305 @t350)) % 45.44/45.77 (define @t353 () (|tptp.'select:(Array[Int,Int]*Int)>Int'| @t240 @t233)) % 45.44/45.77 (define @t354 () (= @t242 @t353)) % 45.44/45.77 (define @t355 () (or @t340 @t354)) % 45.44/45.77 (define @t356 () (= @t270 @t243)) % 45.44/45.77 (define @t357 () (+ @t270 @t244)) % 45.44/45.77 (define @t358 () (= @t357 0)) % 45.44/45.77 (define @t359 () (<= 0 -2)) % 45.44/45.77 (define @t360 () (+ 0 @t221 @t320 @t221)) % 45.44/45.77 (define @t361 () (* -1 @t247)) % 45.44/45.77 (define @t362 () (* 0 @t270)) % 45.44/45.77 (define @t363 () (= @t362 0)) % 45.44/45.77 (define @t364 () (* 0 @t243)) % 45.44/45.77 (define @t365 () (= @t364 0)) % 45.44/45.77 (define @t366 () (+ @t247 @t364 @t361 @t268 @t269 @t362)) % 45.44/45.77 (define @t367 () (* -1 @t271)) % 45.44/45.77 (define @t368 () (+ @t268 @t361)) % 45.44/45.77 (define @t369 () (* -1 @t368)) % 45.44/45.77 (define @t370 () (* -1 @t248)) % 45.44/45.77 (define @t371 () (+ @t357 @t370 @t369 @t367)) % 45.44/45.77 (define @t372 () (= @t368 0)) % 45.44/45.77 (define @t373 () (= (* 1 (- @t368 0)) (* 1 (- @t268 @t247)))) % 45.44/45.77 (define @t374 () (= @t372 @t351)) % 45.44/45.77 (define @t375 () (= (* 1 (- @t357 0)) (* 1 (- @t270 @t243)))) % 45.44/45.77 (define @t376 () (= @t358 @t356)) % 45.44/45.77 (define @t377 () (+ 1 @t233)) % 45.44/45.77 (define @t378 () (= @t234 @t377)) % 45.44/45.77 (define @t379 () (|tptp.'select:(Array[Int,Int]*Int)>Int'| @t240 @t235)) % 45.44/45.77 (define @t380 () (= @t239 @t379)) % 45.44/45.77 (define @t381 () (= @t233 @t235)) % 45.44/45.77 (define @t382 () (- @t234 @t377)) % 45.44/45.77 (define @t383 () (= (* -1 (- @t233 @t235)) (* 1 @t382))) % 45.44/45.77 (define @t384 () (= @t381 @t378)) % 45.44/45.77 (define @t385 () (and @t272 @t351 @t249 @t356)) % 45.44/45.77 (define @t386 () (= @t353 @t294)) % 45.44/45.77 (define @t387 () (* -1 @t382)) % 45.44/45.77 (define @t388 () (= @t235 @t233)) % 45.44/45.77 (define @t389 () (or @t388 @t386)) % 45.44/45.77 (define @t390 () (forall @t62 (or @t60 @t59))) % 45.44/45.77 (define @t391 () (or @t378 @t386)) % 45.44/45.77 (define @t392 () (@list @t390)) % 45.44/45.77 (define @t393 () (>= @t234 2)) % 45.44/45.77 (define @t394 () (not @t393)) % 45.44/45.77 (define @t395 () (not @t378)) % 45.44/45.77 (define @t396 () (not @t395)) % 45.44/45.77 (define @t397 () (* -1 2)) % 45.44/45.77 (define @t398 () (+ 2 @t320 @t397)) % 45.44/45.77 (define @t399 () (* -1 @t234)) % 45.44/45.77 (define @t400 () (+ @t399 @t233)) % 45.44/45.77 (define @t401 () (* -1 @t311)) % 45.44/45.77 (define @t402 () (+ @t234 @t253 @t401)) % 45.44/45.77 (define @t403 () (>= @t402 @t398)) % 45.44/45.77 (define @t404 () (>= @t311 2)) % 45.44/45.77 (define @t405 () (* -1 (- @t311 1))) % 45.44/45.77 (define @t406 () (= @t405 @t387)) % 45.44/45.77 (define @t407 () (= @t311 1)) % 45.44/45.77 (define @t408 () (= @t407 @t378)) % 45.44/45.77 (define @t409 () (not @t407)) % 45.44/45.77 (define @t410 () (= @t242 @t294)) % 45.44/45.77 (define @t411 () (= @t243 @t295)) % 45.44/45.77 (define @t412 () (and @t354 @t386)) % 45.44/45.77 (define @t413 () (and @t395 @t312)) % 45.44/45.77 (define @t414 () (+ @t268 @t298)) % 45.44/45.77 (define @t415 () (>= @t414 1)) % 45.44/45.77 (define @t416 () (not @t411)) % 45.44/45.77 (define @t417 () (not @t351)) % 45.44/45.77 (define @t418 () (not @t415)) % 45.44/45.77 (define @t419 () (+ 1 @t320 @t221 @t320)) % 45.44/45.77 (define @t420 () (* 0 @t268)) % 45.44/45.77 (define @t421 () (= @t420 0)) % 45.44/45.77 (define @t422 () (* 0 @t295)) % 45.44/45.77 (define @t423 () (+ @t422 @t247 @t243 @t244 @t361 @t420)) % 45.44/45.77 (define @t424 () (+ @t243 @t298)) % 45.44/45.77 (define @t425 () (* -1 @t424)) % 45.44/45.77 (define @t426 () (+ @t414 @t369 @t370 @t425)) % 45.44/45.77 (define @t427 () (>= @t426 @t419)) % 45.44/45.77 (define @t428 () (= @t424 0)) % 45.44/45.77 (define @t429 () (= (* 1 (- @t424 0)) (* 1 (- @t243 @t295)))) % 45.44/45.77 (define @t430 () (= @t428 @t411)) % 45.44/45.77 (define @t431 () (not @t404)) % 45.44/45.77 (define @t432 () (>= @t264 1)) % 45.44/45.77 (define @t433 () (or @t394 @t432 @t258 @t431 @t418)) % 45.44/45.77 (define @t434 () (- @t234 @t235)) % 45.44/45.77 (define @t435 () (- @t235 @t234)) % 45.44/45.77 (define @t436 () (* -2 (- @t311 2))) % 45.44/45.77 (define @t437 () (+ -1 @t234 @t253)) % 45.44/45.77 (define @t438 () (+ @t253 @t234 -1)) % 45.44/45.77 (define @t439 () (+ @t235 @t253)) % 45.44/45.77 (define @t440 () (>= @t439 1)) % 45.44/45.77 (define @t441 () (not @t440)) % 45.44/45.77 (define @t442 () (+ -1 @t234 @t260)) % 45.44/45.77 (define @t443 () (+ @t260 @t234 -1)) % 45.44/45.77 (define @t444 () (+ @t235 @t260)) % 45.44/45.77 (define @t445 () (>= @t444 0)) % 45.44/45.77 (define @t446 () (>= @t235 1)) % 45.44/45.77 (define @t447 () (not @t446)) % 45.44/45.77 (define @t448 () (or @t447 @t445 @t258 @t441 (= @t235 @t234) @t418)) % 45.44/45.77 (define @t449 () (not @t265)) % 45.44/45.77 (define @t450 () (not @t432)) % 45.44/45.77 (define @t451 () (+ @t221 -1)) % 45.44/45.77 (define @t452 () (+ 0 0)) % 45.44/45.77 (define @t453 () (* 0 @t259)) % 45.44/45.77 (define @t454 () (+ @t453 @t323)) % 45.44/45.77 (define @t455 () (+ (* -1 @t264) @t264)) % 45.44/45.77 (define @t456 () (and @t432 @t449)) % 45.44/45.77 (define @t457 () (|tptp.'select:(Array[Int,Int]*Int)>Int'| @t240 @t245)) % 45.44/45.77 (define @t458 () (= @t457 @t291)) % 45.44/45.77 (define @t459 () (* -1 (- @t234 @t251))) % 45.44/45.77 (define @t460 () (= @t235 @t245)) % 45.44/45.77 (define @t461 () (or @t460 @t458)) % 45.44/45.77 (define @t462 () (or @t252 @t458)) % 45.44/45.77 (define @t463 () (not @t252)) % 45.44/45.77 (define @t464 () (@list true false)) % 45.44/45.77 (define @t465 () (= @t246 @t457)) % 45.44/45.77 (define @t466 () (or @t305 @t465)) % 45.44/45.77 (define @t467 () (= @t247 @t292)) % 45.44/45.77 (define @t468 () (<= 0 -1)) % 45.44/45.77 (define @t469 () (+ @t320 0 @t221 @t320)) % 45.44/45.77 (define @t470 () (* 0 @t247)) % 45.44/45.77 (define @t471 () (= @t470 0)) % 45.44/45.77 (define @t472 () (* 0 @t292)) % 45.44/45.77 (define @t473 () (= @t472 0)) % 45.44/45.77 (define @t474 () (+ @t472 @t295 @t298 @t243 @t244 @t470)) % 45.44/45.77 (define @t475 () (+ @t247 @t293)) % 45.44/45.77 (define @t476 () (+ @t425 @t475 @t370 (* -1 @t296))) % 45.44/45.77 (define @t477 () (= (* 1 (- @t475 0)) (* 1 (- @t247 @t292)))) % 45.44/45.77 (define @t478 () (= @t475 0)) % 45.44/45.77 (define @t479 () (= @t478 @t467)) % 45.44/45.77 (define @t480 () (and @t297 @t249 @t467 @t411)) % 45.44/45.77 (define @t481 () (@list false false false false)) % 45.44/45.77 (define @t482 () (>= @t311 @t219)) % 45.44/45.77 (define @t483 () (<= @t311 0)) % 45.44/45.77 (define @t484 () (+ 0 -1)) % 45.44/45.77 (define @t485 () (+ 0 @t221)) % 45.44/45.77 (define @t486 () (+ @t325 @t323)) % 45.44/45.77 (define @t487 () (+ @t311 @t401)) % 45.44/45.77 (define @t488 () (= @t487 @t486)) % 45.44/45.77 (define @t489 () (<= @t487 @t485)) % 45.44/45.77 (define @t490 () (and @t314 @t378)) % 45.44/45.77 (define @t491 () (+ @t397 1)) % 45.44/45.77 (define @t492 () (+ @t401 @t311)) % 45.44/45.77 (define @t493 () (= @t311 0)) % 45.44/45.77 (define @t494 () (>= @t317 0)) % 45.44/45.77 (define @t495 () (not @t494)) % 45.44/45.77 (define @t496 () (>= @t317 2)) % 45.44/45.77 (define @t497 () (+ @t397 2 @t221)) % 45.44/45.77 (define @t498 () (>= @t329 @t497)) % 45.44/45.77 (define @t499 () (* -1 (- @t317 1))) % 45.44/45.77 (define @t500 () (= @t317 1)) % 45.44/45.77 (define @t501 () (and @t255 @t431 @t463 @t313 @t494)) % 45.44/45.77 (define @t502 () (>= @t234 @t245)) % 45.44/45.77 (define @t503 () (+ @t245 1)) % 45.44/45.77 (define @t504 () (>= @t317 1)) % 45.44/45.77 (define @t505 () (>= @t234 @t503)) % 45.44/45.77 (define @t506 () (<= @t234 @t245)) % 45.44/45.77 (define @t507 () (not @t502)) % 45.44/45.77 (define @t508 () (not @t506)) % 45.44/45.77 (define @t509 () (+ @t316 @t245)) % 45.44/45.77 (define @t510 () (+ @t399 @t234)) % 45.44/45.77 (define @t511 () (= @t510 0)) % 45.44/45.77 (define @t512 () (>= @t510 @t509)) % 45.44/45.77 (define @t513 () (+ @t268 @t293)) % 45.44/45.77 (define @t514 () (>= @t513 0)) % 45.44/45.77 (define @t515 () (+ 0 0 @t221 @t221 @t320)) % 45.44/45.77 (define @t516 () (+ @t472 @t364 @t470 @t268 @t269 @t362)) % 45.44/45.77 (define @t517 () (* -1 @t513)) % 45.44/45.77 (define @t518 () (+ @t475 @t357 @t367 @t370 @t517)) % 45.44/45.77 (define @t519 () (= @t239 @t242)) % 45.44/45.77 (define @t520 () (= @t239 @t353)) % 45.44/45.77 (define @t521 () (and @t514 @t249 @t272 @t356 @t467)) % 45.44/45.77 (define @t522 () (+ @t269 @t292)) % 45.44/45.77 (define @t523 () (+ @t513 1)) % 45.44/45.77 (define @t524 () (+ @t292 @t269)) % 45.44/45.77 (define @t525 () (>= @t524 1)) % 45.44/45.77 (define @t526 () (not @t525)) % 45.44/45.77 (define @t527 () (+ 1 @t399 @t245)) % 45.44/45.77 (define @t528 () (+ @t317 1)) % 45.44/45.77 (define @t529 () (+ 1 @t399)) % 45.44/45.77 (define @t530 () (* -1 @t235)) % 45.44/45.77 (define @t531 () (+ @t245 @t530)) % 45.44/45.77 (define @t532 () (>= @t531 1)) % 45.44/45.77 (define @t533 () (not @t532)) % 45.44/45.77 (define @t534 () (>= @t235 0)) % 45.44/45.77 (define @t535 () (not @t534)) % 45.44/45.77 (define @t536 () (or @t263 @t261 @t535 @t533 @t306 @t526)) % 45.44/45.77 (define @t537 () (or @t263 @t261 @t267 @t504 @t305 @t514)) % 45.44/45.77 (define @t538 () (and @t465 @t458)) % 45.44/45.77 (define @t539 () (@list false false)) % 45.44/45.77 (define @t540 () (>= @t234 @t377)) % 45.44/45.77 (define @t541 () (+ @t377 1)) % 45.44/45.77 (define @t542 () (>= @t234 @t541)) % 45.44/45.77 (define @t543 () (<= @t234 @t377)) % 45.44/45.77 (define @t544 () (not @t540)) % 45.44/45.77 (define @t545 () (not @t543)) % 45.44/45.77 (define @t546 () (+ (* -1 @t377) @t377)) % 45.44/45.77 (define @t547 () (>= @t510 @t546)) % 45.44/45.77 (define @t548 () (>= @t368 0)) % 45.44/45.77 (define @t549 () (not @t514)) % 45.44/45.77 (define @t550 () (not @t467)) % 45.44/45.77 (define @t551 () (not @t548)) % 45.44/45.77 (define @t552 () (+ 0 0 @t320)) % 45.44/45.77 (define @t553 () (+ @t472 @t361 @t247 @t420)) % 45.44/45.77 (define @t554 () (+ @t368 @t475 @t517)) % 45.44/45.77 (define @t555 () (>= @t554 @t552)) % 45.44/45.77 (define @t556 () (= @t268 @t243)) % 45.44/45.77 (define @t557 () (+ @t320 @t221 0)) % 45.44/45.77 (define @t558 () (+ @t247 @t364 @t361 @t420)) % 45.44/45.77 (define @t559 () (+ @t268 @t244)) % 45.44/45.77 (define @t560 () (+ @t369 @t370 @t559)) % 45.44/45.77 (define @t561 () (and @t556 @t249 @t548)) % 45.44/45.77 (assume @p1 @t50) % 45.44/45.77 (assume @p2 @t57) % 45.44/45.77 (assume @p3 @t63) % 45.44/45.77 (assume @p4 (forall (@list @t53 @t64) (=> (forall (@list @t52) (= (|tptp.'select:(Array[Int,Int]*Int)>Int'| @t53 @t52) (|tptp.'select:(Array[Int,Int]*Int)>Int'| @t64 @t52))) (= @t53 @t64)))) % 45.44/45.77 (assume @p5 (forall (@list @t52 @t51) (= (|tptp.'select:(Array[Int,Int]*Int)>Int'| (|tptp.'const:(Int)>Array[Int,Int]'| @t51) @t52) @t51))) % 45.44/45.77 (step @p6 :rule aci_norm :args ((= @t95 @t93))) % 45.44/45.77 (step @p7 :rule cong :premises (@p6) :args (@t97)) % 45.44/45.77 (step @p8 :rule quant-merge-prenex :args ((= (forall @t48 @t99) @t97))) % 45.44/45.77 (step @p9 :rule alpha_equiv :args (@t100 (@list @t70 @t65) @t101)) % 45.44/45.77 (step @p10 :rule refl :args (@t79)) % 45.44/45.77 (step @p11 :rule refl :args (@t81)) % 45.44/45.77 (step @p12 :rule refl :args (@t83)) % 45.44/45.77 (step @p13 :rule refl :args (@t91)) % 45.44/45.77 (step @p14 :rule refl :args (@t92)) % 45.44/45.77 (step @p15 :rule nary_cong :premises (@p14 @p13 @p12 @p11 @p10 @p9) :args (@t102)) % 45.44/45.77 (step @p16 :rule quant-miniscope-or :args ((= @t99 @t102))) % 45.44/45.77 (step @p17 :rule trans :premises (@p16 @p15)) % 45.44/45.77 (step @p18 :rule symm :premises (@p17)) % 45.44/45.77 (step @p19 :rule cong :premises (@p18) :args ((forall @t48 (or @t92 @t91 @t83 @t81 @t79 @t113)))) % 45.44/45.77 (step @p20 :rule trans :premises (@p19 @p8)) % 45.44/45.77 (step @p21 :rule trans :premises (@p20 @p7)) % 45.44/45.77 (step @p22 :rule bool-double-not-elim :args (@t113)) % 45.44/45.77 (step @p23 :rule bool-double-not-elim :args (@t79)) % 45.44/45.77 (step @p24 :rule nary_cong :premises (@p14 @p13 @p12 @p11 @p23 @p22) :args (@t118)) % 45.44/45.77 (step @p25 :rule aci_norm :args ((= (or @t92 (or @t91 (or @t83 (or @t81 (or @t117 @t115))))) @t118))) % 45.44/45.77 (step @p26 :rule trans :premises (@p25 @p24)) % 45.44/45.77 (step @p27 :rule bool-and-de-morgan :args (@t116 @t114 true)) % 45.44/45.77 (step @p28 :rule nary_cong :premises (@p11 @p27) :args ((or @t81 (not (and @t116 @t114))))) % 45.44/45.77 (step @p29 :rule bool-and-de-morgan :args (@t80 @t116 (and @t114))) % 45.44/45.77 (step @p30 :rule trans :premises (@p29 @p28)) % 45.44/45.77 (step @p31 :rule nary_cong :premises (@p12 @p30) :args ((or @t83 (not (and @t80 @t116 @t114))))) % 45.44/45.77 (step @p32 :rule bool-and-de-morgan :args (@t82 @t80 (and @t116 @t114))) % 45.44/45.77 (step @p33 :rule trans :premises (@p32 @p31)) % 45.44/45.77 (step @p34 :rule nary_cong :premises (@p13 @p33) :args ((or @t91 (not (and @t82 @t80 @t116 @t114))))) % 45.44/45.77 (step @p35 :rule bool-and-de-morgan :args (@t90 @t82 (and @t80 @t116 @t114))) % 45.44/45.77 (step @p36 :rule trans :premises (@p35 @p34)) % 45.44/45.77 (step @p37 :rule nary_cong :premises (@p14 @p36) :args ((or @t92 (not (and @t90 @t82 @t80 @t116 @t114))))) % 45.44/45.77 (step @p38 :rule bool-and-de-morgan :args (@t40 @t90 (and @t82 @t80 @t116 @t114))) % 45.44/45.77 (step @p39 :rule trans :premises (@p38 @p37)) % 45.44/45.77 (step @p40 :rule trans :premises (@p39 @p26)) % 45.44/45.77 (step @p41 :rule cong :premises (@p40) :args ((forall @t48 (not (and @t40 @t90 @t82 @t80 @t116 @t114))))) % 45.44/45.77 (step @p42 :rule trans :premises (@p41 @p21)) % 45.44/45.77 (step @p43 :rule quant-unused-vars :args ((= @t122 @t114))) % 45.44/45.77 (step @p44 :rule quant-unused-vars :args ((= @t123 @t116))) % 45.44/45.77 (step @p45 :rule quant-unused-vars :args ((= @t124 @t80))) % 45.44/45.77 (step @p46 :rule quant-unused-vars :args ((= @t125 @t82))) % 45.44/45.77 (step @p47 :rule alpha_equiv :args (@t132 @t133 (@list @t85 @t84))) % 45.44/45.77 (step @p48 :rule quant-unused-vars :args ((= @t134 @t40))) % 45.44/45.77 (step @p49 :rule nary_cong :premises (@p48 @p47 @p46 @p45 @p44 @p43) :args (@t135)) % 45.44/45.77 (step @p50 :rule quant-miniscope-and :args ((= (forall @t121 @t136) @t135))) % 45.44/45.77 (step @p51 :rule trans :premises (@p50 @p49)) % 45.44/45.77 (step @p52 :rule aci_norm :args ((= (or false @t136) @t136))) % 45.44/45.77 (step @p53 :rule refl :args (@t136)) % 45.44/45.77 (step @p54 :rule evaluate :args ((not true))) % 45.44/45.77 (step @p55 :rule eq-refl :args (@t43)) % 45.44/45.77 (step @p56 :rule cong :premises (@p55) :args (@t137)) % 45.44/45.77 (step @p57 :rule trans :premises (@p56 @p54)) % 45.44/45.77 (step @p58 :rule nary_cong :premises (@p57 @p53) :args (@t138)) % 45.44/45.77 (step @p59 :rule trans :premises (@p58 @p52)) % 45.44/45.77 (step @p60 :rule cong :premises (@p59) :args ((forall @t121 @t138))) % 45.44/45.77 (step @p61 :rule trans :premises (@p60 @p51)) % 45.44/45.77 (step @p62 :rule quant-var-elim-eq :args ((= (forall @t46 @t151) @t138))) % 45.44/45.77 (step @p63 :rule aci_norm :args ((= @t152 @t151))) % 45.44/45.77 (step @p64 :rule cong :premises (@p63) :args (@t153)) % 45.44/45.77 (step @p65 :rule trans :premises (@p64 @p62)) % 45.44/45.77 (step @p66 :rule cong :premises (@p65) :args (@t154)) % 45.44/45.77 (step @p67 :rule quant-merge-prenex :args ((= @t154 @t155))) % 45.44/45.77 (step @p68 :rule symm :premises (@p67)) % 45.44/45.77 (step @p69 :rule quant_var_reordering :args ((= @t156 @t155))) % 45.44/45.77 (step @p70 :rule trans :premises (@p69 @p68 @p66)) % 45.44/45.77 (step @p71 :rule trans :premises (@p70 @p61)) % 45.44/45.77 (step @p72 :rule quant-merge-prenex :args ((= (forall @t46 @t157) @t156))) % 45.44/45.77 (step @p73 :rule quant-unused-vars :args ((= @t158 @t144))) % 45.44/45.77 (step @p74 :rule quant-unused-vars :args ((= @t159 @t147))) % 45.44/45.77 (step @p75 :rule alpha_equiv :args (@t160 @t133 @t101)) % 45.44/45.77 (step @p76 :rule nary_cong :premises (@p48 @p75 @p74 @p45 @p44 @p73) :args (@t161)) % 45.44/45.77 (step @p77 :rule quant-miniscope-and :args ((= @t162 @t161))) % 45.44/45.77 (step @p78 :rule trans :premises (@p77 @p76)) % 45.44/45.77 (step @p79 :rule refl :args (@t150)) % 45.44/45.77 (step @p80 :rule nary_cong :premises (@p79 @p78) :args (@t163)) % 45.44/45.77 (step @p81 :rule quant-miniscope-or :args ((= @t157 @t163))) % 45.44/45.77 (step @p82 :rule trans :premises (@p81 @p80)) % 45.44/45.77 (step @p83 :rule symm :premises (@p82)) % 45.44/45.77 (step @p84 :rule cong :premises (@p83) :args ((forall @t46 (or @t150 @t169)))) % 45.44/45.77 (step @p85 :rule trans :premises (@p84 @p72)) % 45.44/45.77 (step @p86 :rule trans :premises (@p85 @p71)) % 45.44/45.77 (step @p87 :rule aci_norm :args ((= (and @t170 @t144) @t169))) % 45.44/45.77 (step @p88 :rule bool-implies-de-morgan :args (@t170 @t143)) % 45.44/45.77 (step @p89 :rule trans :premises (@p88 @p87)) % 45.44/45.77 (step @p90 :rule nary_cong :premises (@p79 @p89) :args ((or @t150 (not @t171)))) % 45.44/45.77 (step @p91 :rule bool-and-de-morgan :args (@t44 @t171 true)) % 45.44/45.77 (step @p92 :rule trans :premises (@p91 @p90)) % 45.44/45.77 (step @p93 :rule cong :premises (@p92) :args (@t173)) % 45.44/45.77 (step @p94 :rule trans :premises (@p93 @p86)) % 45.44/45.77 (step @p95 :rule cong :premises (@p94) :args (@t174)) % 45.44/45.77 (step @p96 :rule exists-elim :args ((= (exists @t46 @t172) @t174))) % 45.44/45.77 (step @p97 :rule trans :premises (@p96 @p95)) % 45.44/45.77 (step @p98 :rule aci_norm :args ((= (or @t112 @t110 @t108 @t107 @t104 false @t141) @t142))) % 45.44/45.77 (step @p99 :rule refl :args (@t141)) % 45.44/45.77 (step @p100 :rule eq-refl :args (@t140)) % 45.44/45.77 (step @p101 :rule cong :premises (@p100) :args (@t175)) % 45.44/45.77 (step @p102 :rule trans :premises (@p101 @p54)) % 45.44/45.77 (step @p103 :rule refl :args (@t104)) % 45.44/45.77 (step @p104 :rule refl :args (@t107)) % 45.44/45.77 (step @p105 :rule refl :args (@t108)) % 45.44/45.77 (step @p106 :rule refl :args (@t110)) % 45.44/45.77 (step @p107 :rule refl :args (@t112)) % 45.44/45.77 (step @p108 :rule nary_cong :premises (@p107 @p106 @p105 @p104 @p103 @p102 @p99) :args (@t176)) % 45.44/45.77 (step @p109 :rule trans :premises (@p108 @p98)) % 45.44/45.77 (step @p110 :rule cong :premises (@p109) :args ((forall @t38 @t176))) % 45.44/45.77 (step @p111 :rule quant-var-elim-eq :args ((= (forall @t183 @t182) @t176))) % 45.44/45.77 (step @p112 :rule aci_norm :args ((= @t184 @t182))) % 45.44/45.77 (step @p113 :rule cong :premises (@p112) :args (@t185)) % 45.44/45.77 (step @p114 :rule trans :premises (@p113 @p111)) % 45.44/45.77 (step @p115 :rule cong :premises (@p114) :args (@t186)) % 45.44/45.77 (step @p116 :rule quant-merge-prenex :args ((= @t186 (forall @t25 @t184)))) % 45.44/45.77 (step @p117 :rule symm :premises (@p116)) % 45.44/45.77 (step @p118 :rule trans :premises (@p117 @p115)) % 45.44/45.77 (step @p119 :rule trans :premises (@p118 @p110)) % 45.44/45.77 (step @p120 :rule refl :args (@t179)) % 45.44/45.77 (step @p121 :rule refl :args (@t181)) % 45.44/45.77 (step @p122 :rule bool-double-not-elim :args (@t104)) % 45.44/45.77 (step @p123 :rule refl :args (@t107)) % 45.44/45.77 (step @p124 :rule refl :args (@t108)) % 45.44/45.77 (step @p125 :rule bool-double-not-elim :args (@t110)) % 45.44/45.77 (step @p126 :rule refl :args (@t112)) % 45.44/45.77 (step @p127 :rule nary_cong :premises (@p126 @p125 @p124 @p123 @p122 @p121 @p120) :args (@t191)) % 45.44/45.77 (step @p128 :rule aci_norm :args ((= (or @t112 (or @t190 (or @t108 (or @t107 (or @t188 (or @t181 @t179)))))) @t191))) % 45.44/45.77 (step @p129 :rule trans :premises (@p128 @p127)) % 45.44/45.77 (step @p130 :rule bool-and-de-morgan :args (@t180 @t178 true)) % 45.44/45.77 (step @p131 :rule refl :args (@t188)) % 45.44/45.77 (step @p132 :rule nary_cong :premises (@p131 @p130) :args ((or @t188 (not (and @t180 @t178))))) % 45.44/45.77 (step @p133 :rule bool-and-de-morgan :args (@t187 @t180 (and @t178))) % 45.44/45.77 (step @p134 :rule trans :premises (@p133 @p132)) % 45.44/45.77 (step @p135 :rule nary_cong :premises (@p123 @p134) :args ((or @t107 (not (and @t187 @t180 @t178))))) % 45.44/45.77 (step @p136 :rule bool-and-de-morgan :args (@t106 @t187 (and @t180 @t178))) % 45.44/45.77 (step @p137 :rule trans :premises (@p136 @p135)) % 45.44/45.77 (step @p138 :rule nary_cong :premises (@p124 @p137) :args ((or @t108 (not (and @t106 @t187 @t180 @t178))))) % 45.44/45.77 (step @p139 :rule bool-and-de-morgan :args (@t13 @t106 (and @t187 @t180 @t178))) % 45.44/45.77 (step @p140 :rule trans :premises (@p139 @p138)) % 45.44/45.77 (step @p141 :rule refl :args (@t190)) % 45.44/45.77 (step @p142 :rule nary_cong :premises (@p141 @p140) :args ((or @t190 (not (and @t13 @t106 @t187 @t180 @t178))))) % 45.44/45.77 (step @p143 :rule bool-and-de-morgan :args (@t189 @t13 (and @t106 @t187 @t180 @t178))) % 45.44/45.77 (step @p144 :rule trans :premises (@p143 @p142)) % 45.44/45.77 (step @p145 :rule nary_cong :premises (@p126 @p144) :args ((or @t112 (not (and @t189 @t13 @t106 @t187 @t180 @t178))))) % 45.44/45.77 (step @p146 :rule bool-and-de-morgan :args (@t111 @t189 (and @t13 @t106 @t187 @t180 @t178))) % 45.44/45.77 (step @p147 :rule trans :premises (@p146 @p145)) % 45.44/45.77 (step @p148 :rule trans :premises (@p147 @p129)) % 45.44/45.77 (step @p149 :rule cong :premises (@p148) :args ((forall @t25 (not @t192)))) % 45.44/45.77 (step @p150 :rule trans :premises (@p149 @p119)) % 45.44/45.77 (step @p151 :rule aci_norm :args ((= (or false @t192) @t192))) % 45.44/45.77 (step @p152 :rule refl :args (@t178)) % 45.44/45.77 (step @p153 :rule refl :args (@t180)) % 45.44/45.77 (step @p154 :rule arith_poly_norm :args ((= (* -1 (- @t4 @t66)) (* 1 (- @t8 @t103))))) % 45.44/45.77 (step @p155 :rule arith_poly_norm_rel :premises (@p154) :args ((= @t193 @t104))) % 45.44/45.77 (step @p156 :rule cong :premises (@p155) :args (@t194)) % 45.44/45.77 (step @p157 :rule refl :args (@t106)) % 45.44/45.77 (step @p158 :rule refl :args (@t13)) % 45.44/45.77 (step @p159 :rule refl :args (@t189)) % 45.44/45.77 (step @p160 :rule refl :args (@t111)) % 45.44/45.77 (step @p161 :rule nary_cong :premises (@p160 @p159 @p158 @p157 @p156 @p153 @p152) :args (@t195)) % 45.44/45.77 (step @p162 :rule eq-refl :args (@t8)) % 45.44/45.77 (step @p163 :rule arith_poly_norm :args ((= @t196 @t8))) % 45.44/45.77 (step @p164 :rule refl :args (@t8)) % 45.44/45.77 (step @p165 :rule cong :premises (@p164 @p163) :args (@t197)) % 45.44/45.77 (step @p166 :rule trans :premises (@p165 @p162)) % 45.44/45.77 (step @p167 :rule cong :premises (@p166) :args (@t198)) % 45.44/45.77 (step @p168 :rule trans :premises (@p167 @p54)) % 45.44/45.77 (step @p169 :rule nary_cong :premises (@p168 @p161) :args (@t199)) % 45.44/45.77 (step @p170 :rule trans :premises (@p169 @p151)) % 45.44/45.77 (step @p171 :rule quant-var-elim-eq :args ((= (forall @t23 (or (not @t204) @t203 @t200)) @t199))) % 45.44/45.77 (step @p172 :rule refl :args (@t200)) % 45.44/45.77 (step @p173 :rule refl :args (@t203)) % 45.44/45.77 (step @p174 :rule arith_poly_norm :args ((= @t206 @t205))) % 45.44/45.77 (step @p175 :rule arith_poly_norm_rel :premises (@p174) :args ((= @t202 @t204))) % 45.44/45.77 (step @p176 :rule cong :premises (@p175) :args (@t203)) % 45.44/45.77 (step @p177 :rule nary_cong :premises (@p176 @p173 @p172) :args (@t207)) % 45.44/45.77 (step @p178 :rule aci_norm :args ((= @t208 @t207))) % 45.44/45.77 (step @p179 :rule trans :premises (@p178 @p177)) % 45.44/45.77 (step @p180 :rule cong :premises (@p179) :args ((forall @t23 @t208))) % 45.44/45.77 (step @p181 :rule trans :premises (@p180 @p171)) % 45.44/45.77 (step @p182 :rule trans :premises (@p181 @p170)) % 45.44/45.77 (step @p183 :rule aci_norm :args ((= (and @t209 @t178) @t200))) % 45.44/45.77 (step @p184 :rule bool-double-not-elim :args (@t178)) % 45.44/45.77 (step @p185 :rule refl :args (@t209)) % 45.44/45.77 (step @p186 :rule nary_cong :premises (@p185 @p184) :args ((and @t209 (not @t179)))) % 45.44/45.77 (step @p187 :rule bool-implies-de-morgan :args (@t209 @t179)) % 45.44/45.77 (step @p188 :rule trans :premises (@p187 @p186)) % 45.44/45.77 (step @p189 :rule trans :premises (@p188 @p183)) % 45.44/45.77 (step @p190 :rule nary_cong :premises (@p173 @p189) :args ((or @t203 (not @t210)))) % 45.44/45.77 (step @p191 :rule bool-and-de-morgan :args (@t202 @t210 true)) % 45.44/45.77 (step @p192 :rule trans :premises (@p191 @p190)) % 45.44/45.77 (step @p193 :rule cong :premises (@p192) :args (@t212)) % 45.44/45.77 (step @p194 :rule trans :premises (@p193 @p182)) % 45.44/45.77 (step @p195 :rule cong :premises (@p194) :args (@t213)) % 45.44/45.77 (step @p196 :rule exists-elim :args ((= (exists @t23 @t211) @t213))) % 45.44/45.77 (step @p197 :rule trans :premises (@p196 @p195)) % 45.44/45.77 (step @p198 :rule arith_poly_norm :args ((= (* -1 (- @t5 @t214)) (* -1 (- @t177 1))))) % 45.44/45.77 (step @p199 :rule arith_poly_norm_rel :premises (@p198) :args ((= @t215 @t178))) % 45.44/45.77 (step @p200 :rule cong :premises (@p199) :args ((not @t215))) % 45.44/45.77 (step @p201 :rule arith-leq-norm :args (@t5 @t3)) % 45.44/45.77 (step @p202 :rule trans :premises (@p201 @p200)) % 45.44/45.77 (step @p203 :rule refl :args (@t10)) % 45.44/45.77 (step @p204 :rule refl :args (@t11)) % 45.44/45.77 (step @p205 :rule bool-double-not-elim :args (@t106)) % 45.44/45.77 (step @p206 :rule arith_poly_norm :args ((= (* -1 (- 1 @t216)) (* -1 (- @t1 @t4))))) % 45.44/45.77 (step @p207 :rule arith_poly_norm_rel :premises (@p206) :args ((= (>= 1 @t216) @t217))) % 45.44/45.77 (step @p208 :rule arith-geq-tighten :args (@t105 1)) % 45.44/45.77 (step @p209 :rule trans :premises (@p208 @p207)) % 45.44/45.77 (step @p210 :rule symm :premises (@p209)) % 45.44/45.77 (step @p211 :rule cong :premises (@p210) :args ((not @t217))) % 45.44/45.77 (step @p212 :rule trans :premises (@p211 @p205)) % 45.44/45.77 (step @p213 :rule arith-elim-lt :args (@t1 @t4)) % 45.44/45.77 (step @p214 :rule trans :premises (@p213 @p212)) % 45.44/45.77 (step @p215 :rule arith_poly_norm :args ((= (* 1 (- @t4 @t15)) (* 1 (- @t109 0))))) % 45.44/45.77 (step @p216 :rule arith_poly_norm_rel :premises (@p215) :args ((= @t218 @t110))) % 45.44/45.77 (step @p217 :rule cong :premises (@p216) :args ((not @t218))) % 45.44/45.77 (step @p218 :rule arith-elim-lt :args (@t4 @t15)) % 45.44/45.77 (step @p219 :rule trans :premises (@p218 @p217)) % 45.44/45.77 (step @p220 :rule bool-double-not-elim :args (@t111)) % 45.44/45.77 (step @p221 :rule evaluate :args (@t219)) % 45.44/45.77 (step @p222 :rule refl :args (@t4)) % 45.44/45.77 (step @p223 :rule cong :premises (@p222 @p221) :args (@t220)) % 45.44/45.77 (step @p224 :rule cong :premises (@p223) :args ((not @t220))) % 45.44/45.77 (step @p225 :rule arith-leq-norm :args (@t4 0)) % 45.44/45.77 (step @p226 :rule trans :premises (@p225 @p224)) % 45.44/45.77 (step @p227 :rule cong :premises (@p226) :args ((not (<= @t4 0)))) % 45.44/45.77 (step @p228 :rule trans :premises (@p227 @p220)) % 45.44/45.77 (step @p229 :rule arith-elim-leq :args (@t4 0)) % 45.44/45.77 (step @p230 :rule symm :premises (@p229)) % 45.44/45.77 (step @p231 :rule cong :premises (@p230) :args ((not (>= 0 @t4)))) % 45.44/45.77 (step @p232 :rule arith-elim-gt :args (@t4 0)) % 45.44/45.77 (step @p233 :rule trans :premises (@p232 @p231)) % 45.44/45.77 (step @p234 :rule trans :premises (@p233 @p228)) % 45.44/45.77 (step @p235 :rule nary_cong :premises (@p234 @p219 @p158 @p214 @p204 @p203) :args (@t18)) % 45.44/45.77 (step @p236 :rule cong :premises (@p235 @p202) :args (@t19)) % 45.44/45.77 (step @p237 :rule arith_poly_norm :args ((= @t205 @t206))) % 45.44/45.77 (step @p238 :rule arith_poly_norm_rel :premises (@p237) :args ((= @t204 @t202))) % 45.44/45.77 (step @p239 :rule arith_poly_norm :args ((= (+ @t8 -1) @t66))) % 45.44/45.77 (step @p240 :rule evaluate :args (@t221)) % 45.44/45.77 (step @p241 :rule nary_cong :premises (@p164 @p240) :args (@t222)) % 45.44/45.77 (step @p242 :rule trans :premises (@p241 @p239)) % 45.44/45.77 (step @p243 :rule arith_poly_norm :args ((= @t20 @t222))) % 45.44/45.77 (step @p244 :rule trans :premises (@p243 @p242)) % 45.44/45.77 (step @p245 :rule refl :args (@t6)) % 45.44/45.77 (step @p246 :rule cong :premises (@p245 @p244) :args (@t21)) % 45.44/45.77 (step @p247 :rule trans :premises (@p246 @p238)) % 45.44/45.77 (step @p248 :rule nary_cong :premises (@p247 @p236) :args (@t22)) % 45.44/45.77 (step @p249 :rule cong :premises (@p248) :args (@t24)) % 45.44/45.77 (step @p250 :rule trans :premises (@p249 @p197)) % 45.44/45.77 (step @p251 :rule cong :premises (@p250) :args (@t26)) % 45.44/45.77 (step @p252 :rule trans :premises (@p251 @p150)) % 45.44/45.77 (step @p253 :rule arith_poly_norm :args ((= (* 1 (- @t8 @t15)) (* 1 (- @t78 0))))) % 45.44/45.77 (step @p254 :rule arith_poly_norm_rel :premises (@p253) :args ((= @t223 @t79))) % 45.44/45.77 (step @p255 :rule cong :premises (@p254) :args ((not @t223))) % 45.44/45.77 (step @p256 :rule arith-elim-lt :args (@t8 @t15)) % 45.44/45.77 (step @p257 :rule trans :premises (@p256 @p255)) % 45.44/45.77 (step @p258 :rule bool-double-not-elim :args (@t80)) % 45.44/45.77 (step @p259 :rule refl :args (@t8)) % 45.44/45.77 (step @p260 :rule cong :premises (@p259 @p221) :args (@t224)) % 45.44/45.77 (step @p261 :rule cong :premises (@p260) :args ((not @t224))) % 45.44/45.77 (step @p262 :rule arith-leq-norm :args (@t8 0)) % 45.44/45.77 (step @p263 :rule trans :premises (@p262 @p261)) % 45.44/45.77 (step @p264 :rule cong :premises (@p263) :args ((not (<= @t8 0)))) % 45.44/45.77 (step @p265 :rule trans :premises (@p264 @p258)) % 45.44/45.77 (step @p266 :rule arith-elim-leq :args (@t8 0)) % 45.44/45.77 (step @p267 :rule symm :premises (@p266)) % 45.44/45.77 (step @p268 :rule cong :premises (@p267) :args ((not (>= 0 @t8)))) % 45.44/45.77 (step @p269 :rule arith-elim-gt :args (@t8 0)) % 45.44/45.77 (step @p270 :rule trans :premises (@p269 @p268)) % 45.44/45.77 (step @p271 :rule trans :premises (@p270 @p265)) % 45.44/45.77 (step @p272 :rule bool-double-not-elim :args (@t147)) % 45.44/45.77 (step @p273 :rule arith_poly_norm :args ((= (* -1 (- @t29 @t225)) (* -1 (- @t146 1))))) % 45.44/45.77 (step @p274 :rule arith_poly_norm_rel :premises (@p273) :args ((= @t226 @t147))) % 45.44/45.77 (step @p275 :rule cong :premises (@p274) :args ((not @t226))) % 45.44/45.77 (step @p276 :rule arith-leq-norm :args (@t29 @t145)) % 45.44/45.77 (step @p277 :rule trans :premises (@p276 @p275)) % 45.44/45.77 (step @p278 :rule refl :args (@t7)) % 45.44/45.77 (step @p279 :rule cong :premises (@p278 @p244) :args (@t27)) % 45.44/45.77 (step @p280 :rule cong :premises (@p279) :args (@t28)) % 45.44/45.77 (step @p281 :rule refl :args (@t29)) % 45.44/45.77 (step @p282 :rule cong :premises (@p281 @p280) :args (@t30)) % 45.44/45.77 (step @p283 :rule trans :premises (@p282 @p277)) % 45.44/45.77 (step @p284 :rule cong :premises (@p283) :args (@t31)) % 45.44/45.77 (step @p285 :rule trans :premises (@p284 @p272)) % 45.44/45.77 (step @p286 :rule aci_norm :args ((= (or (or @t112 @t110 @t108 @t107 @t34) @t166) @t167))) % 45.44/45.77 (step @p287 :rule refl :args (@t166)) % 45.44/45.77 (step @p288 :rule bool-double-not-elim :args (@t34)) % 45.44/45.77 (step @p289 :rule nary_cong :premises (@p126 @p125 @p124 @p123 @p288) :args (@t228)) % 45.44/45.77 (step @p290 :rule aci_norm :args ((= (or @t112 (or @t190 (or @t108 (or @t107 @t227)))) @t228))) % 45.44/45.77 (step @p291 :rule trans :premises (@p290 @p289)) % 45.44/45.77 (step @p292 :rule bool-and-de-morgan :args (@t106 @t35 true)) % 45.44/45.77 (step @p293 :rule nary_cong :premises (@p124 @p292) :args ((or @t108 (not (and @t106 @t35))))) % 45.44/45.77 (step @p294 :rule bool-and-de-morgan :args (@t13 @t106 (and @t35))) % 45.44/45.77 (step @p295 :rule trans :premises (@p294 @p293)) % 45.44/45.77 (step @p296 :rule nary_cong :premises (@p141 @p295) :args ((or @t190 (not (and @t13 @t106 @t35))))) % 45.44/45.77 (step @p297 :rule bool-and-de-morgan :args (@t189 @t13 (and @t106 @t35))) % 45.44/45.77 (step @p298 :rule trans :premises (@p297 @p296)) % 45.44/45.77 (step @p299 :rule nary_cong :premises (@p126 @p298) :args ((or @t112 (not (and @t189 @t13 @t106 @t35))))) % 45.44/45.77 (step @p300 :rule bool-and-de-morgan :args (@t111 @t189 (and @t13 @t106 @t35))) % 45.44/45.77 (step @p301 :rule trans :premises (@p300 @p299)) % 45.44/45.77 (step @p302 :rule trans :premises (@p301 @p291)) % 45.44/45.77 (step @p303 :rule nary_cong :premises (@p302 @p287) :args ((or (not @t229) @t166))) % 45.44/45.77 (step @p304 :rule trans :premises (@p303 @p286)) % 45.44/45.77 (step @p305 :rule bool-impl-elim :args (@t229 @t166)) % 45.44/45.77 (step @p306 :rule trans :premises (@p305 @p304)) % 45.44/45.77 (step @p307 :rule cong :premises (@p306) :args ((forall @t38 (=> @t229 @t166)))) % 45.44/45.77 (step @p308 :rule arith_poly_norm :args ((= (* -1 (- @t33 @t230)) (* -1 (- @t164 1))))) % 45.44/45.77 (step @p309 :rule arith_poly_norm_rel :premises (@p308) :args ((= @t231 @t165))) % 45.44/45.77 (step @p310 :rule cong :premises (@p309) :args ((not @t231))) % 45.44/45.77 (step @p311 :rule arith-leq-norm :args (@t33 @t32)) % 45.44/45.77 (step @p312 :rule trans :premises (@p311 @p310)) % 45.44/45.77 (step @p313 :rule refl :args (@t35)) % 45.44/45.77 (step @p314 :rule nary_cong :premises (@p234 @p219 @p158 @p214 @p313) :args (@t36)) % 45.44/45.77 (step @p315 :rule cong :premises (@p314 @p312) :args (@t37)) % 45.44/45.77 (step @p316 :rule cong :premises (@p315) :args (@t39)) % 45.44/45.77 (step @p317 :rule trans :premises (@p316 @p307)) % 45.44/45.77 (step @p318 :rule refl :args (@t40)) % 45.44/45.77 (step @p319 :rule nary_cong :premises (@p318 @p317 @p285 @p271 @p257) :args (@t41)) % 45.44/45.77 (step @p320 :rule cong :premises (@p319 @p252) :args (@t42)) % 45.44/45.77 (step @p321 :rule refl :args (@t44)) % 45.44/45.77 (step @p322 :rule nary_cong :premises (@p321 @p320) :args (@t45)) % 45.44/45.77 (step @p323 :rule cong :premises (@p322) :args (@t47)) % 45.44/45.77 (step @p324 :rule trans :premises (@p323 @p97)) % 45.44/45.77 (step @p325 :rule cong :premises (@p324) :args (@t49)) % 45.44/45.77 (step @p326 :rule trans :premises (@p325 @p42)) % 45.44/45.77 (step @p327 :rule cong :premises (@p326) :args (@t50)) % 45.44/45.77 (step @p328 :rule eq_resolve :premises (@p1 @p327)) % 45.44/45.77 (step @p329 :rule refl :args (@t281)) % 45.44/45.77 (step @p330 :rule bool-double-not-elim :args (@t232)) % 45.44/45.77 (step @p331 :rule nary_cong :premises (@p330 @p329) :args ((or (not @t282) @t281))) % 45.44/45.77 (step @p332 :rule refl :args (@t250)) % 45.44/45.77 (step @p333 :rule refl :args (@t252)) % 45.44/45.77 (step @p334 :rule refl :args (@t256)) % 45.44/45.77 (step @p335 :rule refl :args (@t258)) % 45.44/45.77 (step @p336 :rule refl :args (@t261)) % 45.44/45.77 (step @p337 :rule refl :args (@t263)) % 45.44/45.77 (step @p338 :rule refl :args (@t265)) % 45.44/45.77 (step @p339 :rule refl :args (@t267)) % 45.44/45.77 (step @p340 :rule refl :args (@t273)) % 45.44/45.77 (step @p341 :rule refl :args (@t274)) % 45.44/45.77 (step @p342 :rule arith_poly_norm :args ((= (* 1 (- @t234 @t85)) (* -1 (- @t85 @t234))))) % 45.44/45.77 (step @p343 :rule arith_poly_norm_rel :premises (@p342) :args ((= @t283 @t275))) % 45.44/45.77 (step @p344 :rule refl :args (@t86)) % 45.44/45.77 (step @p345 :rule refl :args (@t87)) % 45.44/45.77 (step @p346 :rule refl :args (@t276)) % 45.44/45.77 (step @p347 :rule refl :args (@t88)) % 45.44/45.77 (step @p348 :rule nary_cong :premises (@p347 @p346 @p345 @p344 @p343 @p341) :args (@t284)) % 45.44/45.77 (step @p349 :rule cong :premises (@p348) :args (@t285)) % 45.44/45.77 (step @p350 :rule cong :premises (@p349) :args (@t286)) % 45.44/45.77 (step @p351 :rule refl :args (@t279)) % 45.44/45.77 (step @p352 :rule nary_cong :premises (@p351 @p350 @p340 @p339 @p338 @p337 @p336 @p335 @p334 @p333 @p332) :args (@t287)) % 45.44/45.77 (step @p353 :rule cong :premises (@p352) :args (@t288)) % 45.44/45.77 (step @p354 :rule refl :args (@t282)) % 45.44/45.77 (step @p355 :rule cong :premises (@p354 @p353) :args ((=> @t282 @t288))) % 45.44/45.77 (assume-push @p1548 @t282) % 45.44/45.77 (step @p357 :rule skolemize :premises (@p328)) % 45.44/45.77 (step-pop @p1549 :rule scope :premises (@p357)) % 45.44/45.77 (step @p358 :rule process_scope :premises (@p1549) :args (@t288)) % 45.44/45.77 (step @p360 :rule eq_resolve :premises (@p358 @p355)) % 45.44/45.77 (step @p361 :rule implies_elim :premises (@p360)) % 45.44/45.77 (step @p362 :rule eq_resolve :premises (@p361 @p331)) % 45.44/45.77 (step @p363 :rule chain_m_resolution :premises (@p362 @p328) :args (@t281 @t289 (@list @t232))) % 45.44/45.77 (step @p364 :rule bool-double-not-elim :args (@t249)) % 45.44/45.77 (step @p365 :rule refl :args (@t280)) % 45.44/45.77 (step @p366 :rule nary_cong :premises (@p365 @p364) :args ((or @t280 (not @t250)))) % 45.44/45.77 (step @p367 :rule cnf_or_neg :args (@t280 10)) % 45.44/45.77 (step @p368 :rule eq_resolve :premises (@p367 @p366)) % 45.44/45.77 (step @p369 :rule reordering :premises (@p368) :args ((or @t249 @t280))) % 45.44/45.77 (step @p370 :rule chain_m_resolution :premises (@p369 @p363) :args (@t249 @t289 @t290)) % 45.44/45.77 (step @p371 :rule arith_poly_norm :args ((= (* 1 (- @t55 @t51)) (* -1 (- @t51 @t55))))) % 45.44/45.77 (step @p372 :rule arith_poly_norm_rel :premises (@p371) :args ((= @t56 (= @t51 @t55)))) % 45.44/45.77 (step @p373 :rule cong :premises (@p372) :args (@t57)) % 45.44/45.77 (step @p374 :rule eq_resolve :premises (@p2 @p373)) % 45.44/45.77 (step @p375 :rule instantiate :premises (@p374) :args ((@list @t240 @t234 @t238))) % 45.44/45.77 (step @p376 :rule refl :args (@t59)) % 45.44/45.77 (step @p377 :rule bool-double-not-elim :args (@t60)) % 45.44/45.77 (step @p378 :rule nary_cong :premises (@p377 @p376) :args ((or (not @t61) @t59))) % 45.44/45.77 (step @p379 :rule bool-impl-elim :args (@t61 @t59)) % 45.44/45.77 (step @p380 :rule trans :premises (@p379 @p378)) % 45.44/45.77 (step @p381 :rule cong :premises (@p380) :args (@t63)) % 45.44/45.77 (step @p382 :rule eq_resolve :premises (@p3 @p381)) % 45.44/45.77 (step @p383 :rule instantiate :premises (@p382) :args ((@list @t240 @t234 @t233 @t238))) % 45.44/45.77 (step @p384 :rule bool-double-not-elim :args (@t277)) % 45.44/45.77 (step @p385 :rule nary_cong :premises (@p365 @p384) :args ((or @t280 (not @t278)))) % 45.44/45.77 (step @p386 :rule cnf_or_neg :args (@t280 1)) % 45.44/45.77 (step @p387 :rule eq_resolve :premises (@p386 @p385)) % 45.44/45.77 (step @p388 :rule reordering :premises (@p387) :args ((or @t277 @t280))) % 45.44/45.77 (step @p389 :rule chain_m_resolution :premises (@p388 @p363) :args (@t277 @t289 @t290)) % 45.44/45.77 (step @p390 :rule bool-double-not-elim :args (@t297)) % 45.44/45.77 (step @p391 :rule arith_poly_norm :args ((= (* -1 (- 0 @t300)) (* -1 (- @t299 1))))) % 45.44/45.77 (step @p392 :rule arith_poly_norm_rel :premises (@p391) :args ((= (>= 0 @t300) (>= @t299 1)))) % 45.44/45.77 (step @p393 :rule arith-geq-tighten :args (@t296 0)) % 45.44/45.77 (step @p394 :rule trans :premises (@p393 @p392)) % 45.44/45.77 (step @p395 :rule symm :premises (@p394)) % 45.44/45.77 (step @p396 :rule refl :args (1)) % 45.44/45.77 (step @p397 :rule arith_poly_norm :args ((= @t301 @t299))) % 45.44/45.77 (step @p398 :rule cong :premises (@p397 @p396) :args (@t302)) % 45.44/45.77 (step @p399 :rule trans :premises (@p398 @p395)) % 45.44/45.77 (step @p400 :rule cong :premises (@p399) :args (@t303)) % 45.44/45.77 (step @p401 :rule trans :premises (@p400 @p390)) % 45.44/45.77 (step @p402 :rule arith_poly_norm :args ((= (* 1 (- @t245 @t234)) (* -1 @t304)))) % 45.44/45.77 (step @p403 :rule arith_poly_norm_rel :premises (@p402) :args ((= @t306 @t305))) % 45.44/45.77 (step @p404 :rule nary_cong :premises (@p337 @p336 @p335 @p334 @p403 @p401) :args (@t307)) % 45.44/45.77 (step @p405 :rule refl :args (@t277)) % 45.44/45.77 (step @p406 :rule cong :premises (@p405 @p404) :args ((=> @t277 @t307))) % 45.44/45.77 (assume-push @p1550 @t277) % 45.44/45.77 (step @p408 :rule instantiate :premises (@p389) :args ((@list @t245 @t233))) % 45.44/45.77 (step-pop @p1551 :rule scope :premises (@p408)) % 45.44/45.77 (step @p409 :rule process_scope :premises (@p1551) :args (@t307)) % 45.44/45.77 (step @p411 :rule eq_resolve :premises (@p409 @p406)) % 45.44/45.77 (step @p412 :rule implies_elim :premises (@p411)) % 45.44/45.77 (step @p413 :rule chain_m_resolution :premises (@p412 @p389) :args (@t308 @t309 @t310)) % 45.44/45.77 (step @p414 :rule bool-double-not-elim :args (@t255)) % 45.44/45.77 (step @p415 :rule nary_cong :premises (@p365 @p414) :args ((or @t280 (not @t256)))) % 45.44/45.77 (step @p416 :rule cnf_or_neg :args (@t280 8)) % 45.44/45.77 (step @p417 :rule eq_resolve :premises (@p416 @p415)) % 45.44/45.77 (step @p418 :rule reordering :premises (@p417) :args ((or @t255 @t280))) % 45.44/45.77 (step @p419 :rule chain_m_resolution :premises (@p418 @p363) :args (@t255 @t289 @t290)) % 45.44/45.77 (step @p420 :rule bool-double-not-elim :args (@t312)) % 45.44/45.77 (step @p421 :rule refl :args (@t313)) % 45.44/45.77 (step @p422 :rule nary_cong :premises (@p334 @p421 @p420) :args ((or @t256 @t313 @t315))) % 45.44/45.77 (assume-push @p1552 @t255) % 45.44/45.77 (assume-push @p1553 @t314) % 45.44/45.77 (assume-push @p1554 @t305) % 45.44/45.77 (assume-push @p1555 @t318) % 45.44/45.77 (step @p427 :rule evaluate :args (@t319)) % 45.44/45.77 (step @p428 :rule evaluate :args ((+ 0 1 -1))) % 45.44/45.77 (step @p429 :rule evaluate :args (@t320)) % 45.44/45.77 (step @p430 :rule nary_cong :premises (@p429 @p396 @p240) :args (@t321)) % 45.44/45.77 (step @p431 :rule trans :premises (@p430 @p428)) % 45.44/45.77 (step @p432 :rule arith_poly_norm :args (@t322)) % 45.44/45.77 (step @p433 :rule arith_poly_norm :args (@t324)) % 45.44/45.77 (step @p434 :rule refl :args (@t316)) % 45.44/45.77 (step @p435 :rule arith_poly_norm :args (@t326)) % 45.44/45.77 (step @p436 :rule refl :args (@t245)) % 45.44/45.77 (step @p437 :rule nary_cong :premises (@p436 @p435 @p434 @p433) :args (@t327)) % 45.44/45.77 (step @p438 :rule trans :premises (@p437 @p432)) % 45.44/45.77 (step @p439 :rule arith_poly_norm :args (@t330)) % 45.44/45.77 (step @p440 :rule trans :premises (@p439 @p438)) % 45.44/45.77 (step @p441 :rule cong :premises (@p440 @p431) :args (@t331)) % 45.44/45.77 (step @p442 :rule trans :premises (@p441 @p427)) % 45.44/45.77 (step @p443 :rule cong :premises (@p442) :args ((not @t331))) % 45.44/45.77 (step @p444 :rule trans :premises (@p443 @p54)) % 45.44/45.77 (step @p445 :rule arith-elim-lt :args (@t329 @t321)) % 45.44/45.77 (step @p446 :rule trans :premises (@p445 @p444)) % 45.44/45.77 (step @p447 :rule arith_mult_neg :args (-1 @t255)) % 45.44/45.77 (step @p448 :rule evaluate :args (@t332)) % 45.44/45.77 (step @p449 :rule true_elim :premises (@p448)) % 45.44/45.77 (step @p450 :rule and_intro :premises (@p449 @p419)) % 45.44/45.77 (step @p451 :rule modus_ponens :premises (@p450 @p447)) % 45.44/45.77 (step @p452 :rule arith-elim-lt :args (@t311 1)) % 45.44/45.77 (step @p453 :rule symm :premises (@p452)) % 45.44/45.77 (step @p454 :rule eq_resolve :premises (@p1553 @p453)) % 45.44/45.77 (step @p455 :rule arith_mult_neg :args (-1 @t318)) % 45.44/45.77 (step @p456 :rule and_intro :premises (@p449 @p1555)) % 45.44/45.77 (step @p457 :rule modus_ponens :premises (@p456 @p455)) % 45.44/45.77 (step @p458 :rule arith_sum_ub :premises (@p457 @p454 @p451)) % 45.44/45.77 (step @p459 false :rule eq_resolve :premises (@p458 @p446)) % 45.44/45.77 (step-pop @p1556 :rule scope :premises (@p459)) % 45.44/45.77 (step @p460 :rule process_scope :premises (@p1556) :args (false)) % 45.44/45.77 (step @p462 :rule arith_poly_norm :args (@t335)) % 45.44/45.77 (step @p463 :rule arith_poly_norm_rel :premises (@p462) :args (@t336)) % 45.44/45.77 (step @p464 :rule symm :premises (@p463)) % 45.44/45.77 (step @p465 :rule eq_resolve :premises (@p1554 @p464)) % 45.44/45.77 (step @p466 false :rule contra :premises (@p465 @p460)) % 45.44/45.77 (step-pop @p1557 :rule scope :premises (@p466)) % 45.44/45.77 (step-pop @p1558 :rule scope :premises (@p1557)) % 45.44/45.77 (step-pop @p1559 :rule scope :premises (@p1558)) % 45.44/45.77 (step @p467 :rule process_scope :premises (@p1559) :args (false)) % 45.44/45.77 (assume-push @p1560 @t255) % 45.44/45.77 (assume-push @p1561 @t305) % 45.44/45.77 (assume-push @p1562 @t314) % 45.44/45.77 (step @p474 :rule and_intro :premises (@p419 @p1562 @p1561)) % 45.44/45.77 (step-pop @p1563 :rule scope :premises (@p474)) % 45.44/45.77 (step-pop @p1564 :rule scope :premises (@p1563)) % 45.44/45.77 (step-pop @p1565 :rule scope :premises (@p1564)) % 45.44/45.77 (step @p475 :rule process_scope :premises (@p1565) :args (@t337)) % 45.44/45.77 (step @p479 :rule implies_elim :premises (@p475)) % 45.44/45.77 (step @p480 :rule resolution :premises (@p479 @p467) :args (true @t337)) % 45.44/45.77 (step @p481 :rule not_and :premises (@p480)) % 45.44/45.77 (step @p482 :rule eq_resolve :premises (@p481 @p422)) % 45.44/45.77 (assume-push @p1566 @t255) % 45.44/45.77 (assume-push @p1567 @t305) % 45.44/45.77 (assume-push @p1568 @t339) % 45.44/45.77 (assume-push @p1569 @t305) % 45.44/45.77 (step @p487 :rule false_intro :premises (@p1568)) % 45.44/45.77 (step @p488 :rule refl :args (@t233)) % 45.44/45.77 (step @p489 :rule cong :premises (@p1567 @p488) :args (@t340)) % 45.44/45.77 (step @p490 :rule trans :premises (@p489 @p487)) % 45.44/45.77 (step @p491 :rule false_elim :premises (@p490)) % 45.44/45.77 (step-pop @p1570 :rule scope :premises (@p491)) % 45.44/45.77 (step-pop @p1571 :rule scope :premises (@p1570)) % 45.44/45.77 (step @p492 :rule process_scope :premises (@p1571) :args (@t341)) % 45.44/45.77 (assume-push @p1572 @t255) % 45.44/45.77 (assume-push @p1573 @t338) % 45.44/45.77 (step @p497 :rule evaluate :args (@t342)) % 45.44/45.77 (step @p498 :rule refl :args (0)) % 45.44/45.77 (step @p499 :rule arith_poly_norm :args ((= @t344 -1))) % 45.44/45.77 (step @p500 :rule cong :premises (@p499 @p498) :args ((>= @t344 0))) % 45.44/45.77 (step @p501 :rule trans :premises (@p500 @p497)) % 45.44/45.77 (step @p502 :rule arith-geq-norm1-int :args (@t343 @t233)) % 45.44/45.77 (step @p503 :rule trans :premises (@p502 @p501)) % 45.44/45.77 (step @p504 :rule arith-elim-leq :args (@t233 @t343)) % 45.44/45.77 (step @p505 :rule trans :premises (@p504 @p503)) % 45.44/45.77 (step @p506 :rule arith_poly_norm :args ((= (+ @t233 -1) @t343))) % 45.44/45.77 (step @p488 :rule refl :args (@t233)) % 45.44/45.77 (step @p507 :rule nary_cong :premises (@p488 @p240) :args (@t345)) % 45.44/45.77 (step @p508 :rule trans :premises (@p507 @p506)) % 45.44/45.77 (step @p509 :rule arith_poly_norm :args ((= (+ @t245 @t346) @t233))) % 45.44/45.77 (step @p510 :rule arith_poly_norm :args ((= @t328 @t346))) % 45.44/45.77 (step @p436 :rule refl :args (@t245)) % 45.44/45.77 (step @p511 :rule nary_cong :premises (@p436 @p510) :args (@t347)) % 45.44/45.77 (step @p512 :rule trans :premises (@p511 @p509)) % 45.44/45.77 (step @p513 :rule cong :premises (@p512 @p508) :args ((<= @t347 @t345))) % 45.44/45.77 (step @p514 :rule trans :premises (@p513 @p505)) % 45.44/45.77 (step @p447 :rule arith_mult_neg :args (-1 @t255)) % 45.44/45.77 (step @p448 :rule evaluate :args (@t332)) % 45.44/45.77 (step @p449 :rule true_elim :premises (@p448)) % 45.44/45.77 (step @p450 :rule and_intro :premises (@p449 @p419)) % 45.44/45.77 (step @p451 :rule modus_ponens :premises (@p450 @p447)) % 45.44/45.77 (step @p515 :rule arith_sum_ub :premises (@p1573 @p451)) % 45.44/45.77 (step @p516 false :rule eq_resolve :premises (@p515 @p514)) % 45.44/45.77 (step-pop @p1574 :rule scope :premises (@p516)) % 45.44/45.77 (step @p517 :rule process_scope :premises (@p1574) :args (false)) % 45.44/45.77 (step-pop @p1575 :rule scope :premises (@p517)) % 45.44/45.77 (step @p519 :rule process_scope :premises (@p1575) :args (@t339)) % 45.44/45.77 (step @p521 :rule modus_ponens :premises (@p419 @p519)) % 45.44/45.77 (step @p522 :rule and_intro :premises (@p521 @p1567)) % 45.44/45.77 (step @p523 :rule modus_ponens :premises (@p522 @p492)) % 45.44/45.77 (step-pop @p1576 :rule scope :premises (@p523)) % 45.44/45.77 (step-pop @p1577 :rule scope :premises (@p1576)) % 45.44/45.77 (step @p524 :rule process_scope :premises (@p1577) :args (@t341)) % 45.44/45.77 (step @p527 :rule implies_elim :premises (@p524)) % 45.44/45.77 (step @p528 :rule cnf_and_neg :args (@t348)) % 45.44/45.77 (step @p529 :rule resolution :premises (@p528 @p527) :args (true @t348)) % 45.44/45.77 (assume-push @p1578 @t305) % 45.44/45.77 (assume-push @p1579 @t350) % 45.44/45.77 (assume-push @p1580 @t305) % 45.44/45.77 (assume-push @p1581 @t350) % 45.44/45.77 (step @p534 :rule refl :args (@t241)) % 45.44/45.77 (step @p535 :rule cong :premises (@p534 @p1578) :args (@t349)) % 45.44/45.77 (step @p536 :rule trans :premises (@p375 @p535)) % 45.44/45.77 (step @p537 :rule cong :premises (@p536) :args (@t268)) % 45.44/45.77 (step-pop @p1582 :rule scope :premises (@p537)) % 45.44/45.77 (step-pop @p1583 :rule scope :premises (@p1582)) % 45.44/45.77 (step @p538 :rule process_scope :premises (@p1583) :args (@t351)) % 45.44/45.77 (step @p541 :rule and_intro :premises (@p1578 @p375)) % 45.44/45.77 (step @p542 :rule modus_ponens :premises (@p541 @p538)) % 45.44/45.77 (step-pop @p1584 :rule scope :premises (@p542)) % 45.44/45.77 (step-pop @p1585 :rule scope :premises (@p1584)) % 45.44/45.77 (step @p543 :rule process_scope :premises (@p1585) :args (@t351)) % 45.44/45.77 (step @p546 :rule implies_elim :premises (@p543)) % 45.44/45.77 (step @p547 :rule cnf_and_neg :args (@t352)) % 45.44/45.77 (step @p548 :rule resolution :premises (@p547 @p546) :args (true @t352)) % 45.44/45.77 (step @p549 :rule cnf_or_pos :args (@t355)) % 45.44/45.77 (step @p550 :rule reordering :premises (@p549) :args ((or @t340 @t354 (not @t355)))) % 45.44/45.77 (step @p551 :rule bool-double-not-elim :args (@t272)) % 45.44/45.77 (step @p552 :rule nary_cong :premises (@p365 @p551) :args ((or @t280 (not @t273)))) % 45.44/45.77 (step @p553 :rule cnf_or_neg :args (@t280 2)) % 45.44/45.77 (step @p554 :rule eq_resolve :premises (@p553 @p552)) % 45.44/45.77 (step @p555 :rule reordering :premises (@p554) :args ((or @t272 @t280))) % 45.44/45.77 (step @p556 :rule chain_m_resolution :premises (@p555 @p363) :args (@t272 @t289 @t290)) % 45.44/45.77 (step @p557 :rule instantiate :premises (@p374) :args ((@list @t237 @t235 @t239))) % 45.44/45.77 (assume-push @p1586 @t272) % 45.44/45.77 (assume-push @p1587 @t351) % 45.44/45.77 (assume-push @p1588 @t249) % 45.44/45.77 (assume-push @p1589 @t356) % 45.44/45.77 (assume-push @p1590 @t358) % 45.44/45.77 (step @p563 :rule evaluate :args (@t359)) % 45.44/45.77 (step @p564 :rule evaluate :args ((+ 0 -1 0 -1))) % 45.44/45.77 (step @p429 :rule evaluate :args (@t320)) % 45.44/45.77 (step @p565 :rule refl :args (0)) % 45.44/45.77 (step @p566 :rule nary_cong :premises (@p565 @p240 @p429 @p240) :args (@t360)) % 45.44/45.77 (step @p567 :rule trans :premises (@p566 @p564)) % 45.44/45.77 (step @p568 :rule arith_poly_norm :args ((= (+ @t247 0 @t361 @t268 @t269 0) 0))) % 45.44/45.77 (step @p569 :rule arith_poly_norm :args (@t363)) % 45.44/45.77 (step @p570 :rule refl :args (@t269)) % 45.44/45.77 (step @p571 :rule refl :args (@t268)) % 45.44/45.77 (step @p572 :rule refl :args (@t361)) % 45.44/45.77 (step @p573 :rule arith_poly_norm :args (@t365)) % 45.44/45.77 (step @p574 :rule refl :args (@t247)) % 45.44/45.77 (step @p575 :rule nary_cong :premises (@p574 @p573 @p572 @p571 @p570 @p569) :args (@t366)) % 45.44/45.77 (step @p576 :rule trans :premises (@p575 @p568)) % 45.44/45.77 (step @p577 :rule arith_poly_norm :args ((= @t371 @t366))) % 45.44/45.77 (step @p578 :rule trans :premises (@p577 @p576)) % 45.44/45.77 (step @p579 :rule cong :premises (@p578 @p567) :args ((<= @t371 @t360))) % 45.44/45.77 (step @p580 :rule trans :premises (@p579 @p563)) % 45.44/45.77 (step @p581 :rule arith_mult_neg :args (-1 @t272)) % 45.44/45.77 (step @p448 :rule evaluate :args (@t332)) % 45.44/45.77 (step @p449 :rule true_elim :premises (@p448)) % 45.44/45.77 (step @p582 :rule and_intro :premises (@p449 @p556)) % 45.44/45.77 (step @p583 :rule modus_ponens :premises (@p582 @p581)) % 45.44/45.77 (step @p584 :rule arith_mult_neg :args (-1 @t372)) % 45.44/45.77 (step @p585 :rule arith_poly_norm :args (@t373)) % 45.44/45.77 (step @p586 :rule arith_poly_norm_rel :premises (@p585) :args (@t374)) % 45.44/45.77 (step @p587 :rule symm :premises (@p586)) % 45.44/45.77 (step @p588 :rule eq_resolve :premises (@p1587 @p587)) % 45.44/45.77 (step @p589 :rule and_intro :premises (@p449 @p588)) % 45.44/45.77 (step @p590 :rule modus_ponens :premises (@p589 @p584)) % 45.44/45.77 (step @p591 :rule arith_mult_neg :args (-1 @t249)) % 45.44/45.77 (step @p592 :rule and_intro :premises (@p449 @p370)) % 45.44/45.77 (step @p593 :rule modus_ponens :premises (@p592 @p591)) % 45.44/45.77 (step @p594 :rule arith_sum_ub :premises (@p1590 @p593 @p590 @p583)) % 45.44/45.77 (step @p595 false :rule eq_resolve :premises (@p594 @p580)) % 45.44/45.77 (step-pop @p1591 :rule scope :premises (@p595)) % 45.44/45.77 (step @p596 :rule process_scope :premises (@p1591) :args (false)) % 45.44/45.77 (step @p598 :rule arith_poly_norm :args (@t375)) % 45.44/45.77 (step @p599 :rule arith_poly_norm_rel :premises (@p598) :args (@t376)) % 45.44/45.77 (step @p600 :rule symm :premises (@p599)) % 45.44/45.77 (step @p601 :rule eq_resolve :premises (@p1589 @p600)) % 45.44/45.77 (step @p602 false :rule contra :premises (@p601 @p596)) % 45.44/45.77 (step-pop @p1592 :rule scope :premises (@p602)) % 45.44/45.77 (step-pop @p1593 :rule scope :premises (@p1592)) % 45.44/45.77 (step-pop @p1594 :rule scope :premises (@p1593)) % 45.44/45.77 (step-pop @p1595 :rule scope :premises (@p1594)) % 45.44/45.77 (step @p603 :rule process_scope :premises (@p1595) :args (false)) % 45.44/45.77 (assume-push @p1596 @t272) % 45.44/45.77 (assume-push @p1597 @t249) % 45.44/45.77 (assume-push @p1598 @t305) % 45.44/45.77 (assume-push @p1599 @t378) % 45.44/45.77 (assume-push @p1600 @t380) % 45.44/45.77 (assume-push @p1601 @t350) % 45.44/45.77 (assume-push @p1602 @t354) % 45.44/45.77 (assume-push @p1603 @t354) % 45.44/45.77 (assume-push @p1604 @t381) % 45.44/45.77 (assume-push @p1605 @t380) % 45.44/45.77 (step @p618 :rule symm :premises (@p1602)) % 45.44/45.77 (step @p619 :rule symm :premises (@p1604)) % 45.44/45.77 (step @p620 :rule refl :args (@t240)) % 45.44/45.77 (step @p621 :rule cong :premises (@p620 @p619) :args (@t379)) % 45.44/45.77 (step @p622 :rule trans :premises (@p557 @p621 @p618)) % 45.44/45.77 (step @p623 :rule cong :premises (@p622) :args (@t270)) % 45.44/45.77 (step-pop @p1606 :rule scope :premises (@p623)) % 45.44/45.77 (step-pop @p1607 :rule scope :premises (@p1606)) % 45.44/45.77 (step-pop @p1608 :rule scope :premises (@p1607)) % 45.44/45.77 (step @p624 :rule process_scope :premises (@p1608) :args (@t356)) % 45.44/45.77 (step @p628 :rule arith_poly_norm :args (@t383)) % 45.44/45.77 (step @p629 :rule arith_poly_norm_rel :premises (@p628) :args (@t384)) % 45.44/45.77 (step @p630 :rule symm :premises (@p629)) % 45.44/45.77 (step @p631 :rule eq_resolve :premises (@p1599 @p630)) % 45.44/45.77 (step @p632 :rule and_intro :premises (@p1602 @p631 @p557)) % 45.44/45.77 (step @p633 :rule modus_ponens :premises (@p632 @p624)) % 45.44/45.77 (assume-push @p1609 @t305) % 45.44/45.77 (assume-push @p1610 @t350) % 45.44/45.77 (step @p534 :rule refl :args (@t241)) % 45.44/45.77 (step @p535 :rule cong :premises (@p534 @p1598) :args (@t349)) % 45.44/45.77 (step @p536 :rule trans :premises (@p375 @p535)) % 45.44/45.77 (step @p537 :rule cong :premises (@p536) :args (@t268)) % 45.44/45.77 (step-pop @p1611 :rule scope :premises (@p537)) % 45.44/45.77 (step-pop @p1612 :rule scope :premises (@p1611)) % 45.44/45.77 (step @p636 :rule process_scope :premises (@p1612) :args (@t351)) % 45.44/45.77 (step @p639 :rule and_intro :premises (@p1598 @p375)) % 45.44/45.77 (step @p640 :rule modus_ponens :premises (@p639 @p636)) % 45.44/45.77 (step @p641 :rule and_intro :premises (@p556 @p640 @p370 @p633)) % 45.44/45.77 (step-pop @p1613 :rule scope :premises (@p641)) % 45.44/45.77 (step-pop @p1614 :rule scope :premises (@p1613)) % 45.44/45.78 (step-pop @p1615 :rule scope :premises (@p1614)) % 45.44/45.78 (step-pop @p1616 :rule scope :premises (@p1615)) % 45.44/45.78 (step-pop @p1617 :rule scope :premises (@p1616)) % 45.44/45.78 (step-pop @p1618 :rule scope :premises (@p1617)) % 45.44/45.78 (step-pop @p1619 :rule scope :premises (@p1618)) % 45.44/45.78 (step @p642 :rule process_scope :premises (@p1619) :args (@t385)) % 45.44/45.78 (step @p650 :rule implies_elim :premises (@p642)) % 45.44/45.78 (step @p651 :rule resolution :premises (@p650 @p603) :args (true @t385)) % 45.44/45.78 (step @p652 :rule not_and :premises (@p651)) % 45.44/45.78 (step @p653 :rule refl :args (@t386)) % 45.44/45.78 (step @p654 :rule arith_poly_norm :args ((= (* -1 (- @t235 @t233)) @t387))) % 45.44/45.78 (step @p655 :rule arith_poly_norm_rel :premises (@p654) :args ((= @t388 @t378))) % 45.44/45.78 (step @p656 :rule nary_cong :premises (@p655 @p653) :args (@t389)) % 45.44/45.78 (step @p657 :rule refl :args (@t390)) % 45.44/45.78 (step @p658 :rule cong :premises (@p657 @p656) :args ((=> @t390 @t389))) % 45.44/45.78 (assume-push @p1620 @t390) % 45.44/45.78 (step @p660 :rule instantiate :premises (@p382) :args ((@list @t237 @t235 @t233 @t239))) % 45.44/45.78 (step-pop @p1621 :rule scope :premises (@p660)) % 45.44/45.78 (step @p661 :rule process_scope :premises (@p1621) :args (@t389)) % 45.44/45.78 (step @p663 :rule eq_resolve :premises (@p661 @p658)) % 45.44/45.78 (step @p664 :rule implies_elim :premises (@p663)) % 45.44/45.78 (step @p665 :rule chain_m_resolution :premises (@p664 @p382) :args (@t391 @t309 @t392)) % 45.44/45.78 (step @p666 :rule cnf_or_pos :args (@t391)) % 45.44/45.78 (step @p667 :rule reordering :premises (@p666) :args ((or @t378 @t386 (not @t391)))) % 45.44/45.78 (step @p668 :rule bool-double-not-elim :args (@t257)) % 45.44/45.78 (step @p669 :rule nary_cong :premises (@p365 @p668) :args ((or @t280 (not @t258)))) % 45.44/45.78 (step @p670 :rule cnf_or_neg :args (@t280 7)) % 45.44/45.78 (step @p671 :rule eq_resolve :premises (@p670 @p669)) % 45.44/45.78 (step @p672 :rule reordering :premises (@p671) :args ((or @t257 @t280))) % 45.44/45.78 (step @p673 :rule chain_m_resolution :premises (@p672 @p363) :args (@t257 @t289 @t290)) % 45.44/45.78 (step @p674 :rule bool-double-not-elim :args (@t393)) % 45.44/45.78 (step @p675 :rule bool-double-not-elim :args (@t378)) % 45.44/45.78 (step @p676 :rule refl :args (@t314)) % 45.44/45.78 (step @p677 :rule nary_cong :premises (@p335 @p676 @p675 @p674) :args ((or @t258 @t314 @t396 (not @t394)))) % 45.44/45.78 (assume-push @p1622 @t257) % 45.44/45.78 (assume-push @p1623 @t312) % 45.44/45.78 (assume-push @p1624 @t395) % 45.44/45.78 (assume-push @p1625 @t394) % 45.44/45.78 (step @p427 :rule evaluate :args (@t319)) % 45.44/45.78 (step @p682 :rule evaluate :args ((+ 2 0 -2))) % 45.44/45.78 (step @p683 :rule evaluate :args (@t397)) % 45.44/45.78 (step @p429 :rule evaluate :args (@t320)) % 45.44/45.78 (step @p684 :rule refl :args (2)) % 45.44/45.78 (step @p685 :rule nary_cong :premises (@p684 @p429 @p683) :args (@t398)) % 45.44/45.78 (step @p686 :rule trans :premises (@p685 @p682)) % 45.44/45.78 (step @p687 :rule arith_poly_norm :args ((= (+ @t234 @t253 @t400) 0))) % 45.44/45.78 (step @p688 :rule arith_poly_norm :args ((= @t401 @t400))) % 45.44/45.78 (step @p689 :rule refl :args (@t253)) % 45.44/45.78 (step @p690 :rule refl :args (@t234)) % 45.44/45.78 (step @p691 :rule nary_cong :premises (@p690 @p689 @p688) :args (@t402)) % 45.44/45.78 (step @p692 :rule trans :premises (@p691 @p687)) % 45.44/45.78 (step @p693 :rule cong :premises (@p692 @p686) :args (@t403)) % 45.44/45.78 (step @p694 :rule trans :premises (@p693 @p427)) % 45.44/45.78 (step @p695 :rule cong :premises (@p694) :args ((not @t403))) % 45.44/45.78 (step @p696 :rule trans :premises (@p695 @p54)) % 45.44/45.78 (step @p697 :rule arith-elim-lt :args (@t402 @t398)) % 45.44/45.78 (step @p698 :rule trans :premises (@p697 @p696)) % 45.44/45.78 (step @p699 :rule arith_mult_neg :args (-1 @t404)) % 45.44/45.78 (step @p700 :rule arith_poly_norm :args (@t406)) % 45.44/45.78 (step @p701 :rule arith_poly_norm_rel :premises (@p700) :args (@t408)) % 45.44/45.78 (step @p702 :rule cong :premises (@p701) :args (@t409)) % 45.44/45.78 (step @p703 :rule symm :premises (@p702)) % 45.44/45.78 (step @p704 :rule eq_resolve :premises (@p1624 @p703)) % 45.44/45.78 (step @p705 :rule arith_trichotomy :premises (@p1623 @p704)) % 45.44/45.78 (step @p706 :rule int_tight_lb :premises (@p705)) % 45.44/45.78 (step @p448 :rule evaluate :args (@t332)) % 45.44/45.78 (step @p449 :rule true_elim :premises (@p448)) % 45.44/45.78 (step @p707 :rule and_intro :premises (@p449 @p706)) % 45.44/45.78 (step @p708 :rule modus_ponens :premises (@p707 @p699)) % 45.44/45.78 (step @p709 :rule arith_mult_neg :args (-1 @t257)) % 45.44/45.78 (step @p710 :rule and_intro :premises (@p449 @p673)) % 45.44/45.78 (step @p711 :rule modus_ponens :premises (@p710 @p709)) % 45.44/45.78 (step @p712 :rule arith-elim-lt :args (@t234 2)) % 45.44/45.78 (step @p713 :rule symm :premises (@p712)) % 45.44/45.78 (step @p714 :rule eq_resolve :premises (@p1625 @p713)) % 45.44/45.78 (step @p715 :rule arith_sum_ub :premises (@p714 @p711 @p708)) % 45.44/45.78 (step @p716 false :rule eq_resolve :premises (@p715 @p698)) % 45.44/45.78 (step-pop @p1626 :rule scope :premises (@p716)) % 45.44/45.78 (step-pop @p1627 :rule scope :premises (@p1626)) % 45.44/45.78 (step-pop @p1628 :rule scope :premises (@p1627)) % 45.44/45.78 (step-pop @p1629 :rule scope :premises (@p1628)) % 45.44/45.78 (step @p717 :rule process_scope :premises (@p1629) :args (false)) % 45.44/45.78 (step @p722 :rule not_and :premises (@p717)) % 45.44/45.78 (step @p723 :rule eq_resolve :premises (@p722 @p677)) % 45.44/45.78 (step @p724 :rule reordering :premises (@p723) :args ((or @t258 @t378 @t393 @t314))) % 45.44/45.78 (assume-push @p1630 @t354) % 45.44/45.78 (assume-push @p1631 @t386) % 45.44/45.78 (assume-push @p1632 @t410) % 45.44/45.78 (step @p728 :rule cong :premises (@p1632) :args (@t243)) % 45.44/45.78 (step-pop @p1633 :rule scope :premises (@p728)) % 45.44/45.78 (step @p729 :rule process_scope :premises (@p1633) :args (@t411)) % 45.44/45.78 (assume-push @p1634 @t386) % 45.44/45.78 (assume-push @p1635 @t354) % 45.44/45.78 (step @p733 :rule trans :premises (@p1630 @p1631)) % 45.44/45.78 (step-pop @p1636 :rule scope :premises (@p733)) % 45.44/45.78 (step-pop @p1637 :rule scope :premises (@p1636)) % 45.44/45.78 (step @p734 :rule process_scope :premises (@p1637) :args (@t410)) % 45.44/45.78 (step @p737 :rule and_intro :premises (@p1631 @p1630)) % 45.44/45.78 (step @p738 :rule modus_ponens :premises (@p737 @p734)) % 45.44/45.78 (step @p739 :rule modus_ponens :premises (@p738 @p729)) % 45.44/45.78 (step-pop @p1638 :rule scope :premises (@p739)) % 45.44/45.78 (step-pop @p1639 :rule scope :premises (@p1638)) % 45.44/45.78 (step @p740 :rule process_scope :premises (@p1639) :args (@t411)) % 45.44/45.78 (step @p743 :rule implies_elim :premises (@p740)) % 45.44/45.78 (step @p744 :rule cnf_and_neg :args (@t412)) % 45.44/45.78 (step @p745 :rule resolution :premises (@p744 @p743) :args (true @t412)) % 45.44/45.78 (step @p746 :rule refl :args (@t404)) % 45.44/45.78 (step @p747 :rule nary_cong :premises (@p675 @p676 @p746) :args ((or @t396 @t314 @t404))) % 45.44/45.78 (assume-push @p1640 @t395) % 45.44/45.78 (assume-push @p1641 @t312) % 45.44/45.78 (assume-push @p1642 @t312) % 45.44/45.78 (assume-push @p1643 @t395) % 45.44/45.78 (step @p700 :rule arith_poly_norm :args (@t406)) % 45.44/45.78 (step @p701 :rule arith_poly_norm_rel :premises (@p700) :args (@t408)) % 45.44/45.78 (step @p702 :rule cong :premises (@p701) :args (@t409)) % 45.44/45.78 (step @p703 :rule symm :premises (@p702)) % 45.44/45.78 (step @p752 :rule eq_resolve :premises (@p1640 @p703)) % 45.44/45.78 (step @p753 :rule arith_trichotomy :premises (@p1641 @p752)) % 45.44/45.78 (step @p754 :rule int_tight_lb :premises (@p753)) % 45.44/45.78 (step-pop @p1644 :rule scope :premises (@p754)) % 45.44/45.78 (step-pop @p1645 :rule scope :premises (@p1644)) % 45.44/45.78 (step @p755 :rule process_scope :premises (@p1645) :args (@t404)) % 45.44/45.78 (step @p758 :rule and_intro :premises (@p1641 @p1640)) % 45.44/45.78 (step @p759 :rule modus_ponens :premises (@p758 @p755)) % 45.44/45.78 (step-pop @p1646 :rule scope :premises (@p759)) % 45.44/45.78 (step-pop @p1647 :rule scope :premises (@p1646)) % 45.44/45.78 (step @p760 :rule process_scope :premises (@p1647) :args (@t404)) % 45.44/45.78 (step @p763 :rule implies_elim :premises (@p760)) % 45.44/45.78 (step @p764 :rule cnf_and_neg :args (@t413)) % 45.44/45.78 (step @p765 :rule resolution :premises (@p764 @p763) :args (true @t413)) % 45.44/45.78 (step @p766 :rule eq_resolve :premises (@p765 @p747)) % 45.44/45.78 (step @p767 :rule reordering :premises (@p766) :args ((or @t378 @t404 @t314))) % 45.44/45.78 (step @p768 :rule bool-double-not-elim :args (@t415)) % 45.44/45.78 (step @p769 :rule refl :args (@t416)) % 45.44/45.78 (step @p770 :rule refl :args (@t417)) % 45.44/45.78 (step @p771 :rule nary_cong :premises (@p770 @p332 @p769 @p768) :args ((or @t417 @t250 @t416 (not @t418)))) % 45.44/45.78 (assume-push @p1648 @t351) % 45.44/45.78 (assume-push @p1649 @t249) % 45.44/45.78 (assume-push @p1650 @t411) % 45.44/45.78 (assume-push @p1651 @t418) % 45.44/45.78 (step @p427 :rule evaluate :args (@t319)) % 45.44/45.78 (step @p776 :rule evaluate :args ((+ 1 0 -1 0))) % 45.44/45.78 (step @p429 :rule evaluate :args (@t320)) % 45.44/45.78 (step @p777 :rule nary_cong :premises (@p396 @p429 @p240 @p429) :args (@t419)) % 45.44/45.78 (step @p778 :rule trans :premises (@p777 @p776)) % 45.44/45.78 (step @p779 :rule arith_poly_norm :args ((= (+ 0 @t247 @t243 @t244 @t361 0) 0))) % 45.44/45.78 (step @p780 :rule arith_poly_norm :args (@t421)) % 45.44/45.78 (step @p572 :rule refl :args (@t361)) % 45.44/45.78 (step @p781 :rule refl :args (@t244)) % 45.44/45.78 (step @p782 :rule refl :args (@t243)) % 45.44/45.78 (step @p574 :rule refl :args (@t247)) % 45.44/45.78 (step @p783 :rule arith_poly_norm :args ((= @t422 0))) % 45.44/45.78 (step @p784 :rule nary_cong :premises (@p783 @p574 @p782 @p781 @p572 @p780) :args (@t423)) % 45.44/45.78 (step @p785 :rule trans :premises (@p784 @p779)) % 45.44/45.78 (step @p786 :rule arith_poly_norm :args ((= @t426 @t423))) % 45.44/45.78 (step @p787 :rule trans :premises (@p786 @p785)) % 45.44/45.78 (step @p788 :rule cong :premises (@p787 @p778) :args (@t427)) % 45.44/45.78 (step @p789 :rule trans :premises (@p788 @p427)) % 45.44/45.78 (step @p790 :rule cong :premises (@p789) :args ((not @t427))) % 45.44/45.78 (step @p791 :rule trans :premises (@p790 @p54)) % 45.44/45.78 (step @p792 :rule arith-elim-lt :args (@t426 @t419)) % 45.44/45.78 (step @p793 :rule trans :premises (@p792 @p791)) % 45.44/45.78 (step @p794 :rule arith_mult_neg :args (-1 @t428)) % 45.44/45.78 (step @p795 :rule arith_poly_norm :args (@t429)) % 45.44/45.78 (step @p796 :rule arith_poly_norm_rel :premises (@p795) :args (@t430)) % 45.44/45.78 (step @p797 :rule symm :premises (@p796)) % 45.44/45.78 (step @p798 :rule eq_resolve :premises (@p1650 @p797)) % 45.44/45.78 (step @p448 :rule evaluate :args (@t332)) % 45.44/45.78 (step @p449 :rule true_elim :premises (@p448)) % 45.44/45.78 (step @p799 :rule and_intro :premises (@p449 @p798)) % 45.44/45.78 (step @p800 :rule modus_ponens :premises (@p799 @p794)) % 45.44/45.78 (step @p591 :rule arith_mult_neg :args (-1 @t249)) % 45.44/45.78 (step @p592 :rule and_intro :premises (@p449 @p370)) % 45.44/45.78 (step @p593 :rule modus_ponens :premises (@p592 @p591)) % 45.44/45.78 (step @p584 :rule arith_mult_neg :args (-1 @t372)) % 45.44/45.78 (step @p585 :rule arith_poly_norm :args (@t373)) % 45.44/45.78 (step @p586 :rule arith_poly_norm_rel :premises (@p585) :args (@t374)) % 45.44/45.78 (step @p587 :rule symm :premises (@p586)) % 45.44/45.78 (step @p801 :rule eq_resolve :premises (@p1648 @p587)) % 45.44/45.78 (step @p802 :rule and_intro :premises (@p449 @p801)) % 45.44/45.78 (step @p803 :rule modus_ponens :premises (@p802 @p584)) % 45.44/45.78 (step @p804 :rule arith-elim-lt :args (@t414 1)) % 45.44/45.78 (step @p805 :rule symm :premises (@p804)) % 45.44/45.78 (step @p806 :rule eq_resolve :premises (@p1651 @p805)) % 45.44/45.78 (step @p807 :rule arith_sum_ub :premises (@p806 @p803 @p593 @p800)) % 45.44/45.78 (step @p808 false :rule eq_resolve :premises (@p807 @p793)) % 45.44/45.78 (step-pop @p1652 :rule scope :premises (@p808)) % 45.44/45.78 (step-pop @p1653 :rule scope :premises (@p1652)) % 45.44/45.78 (step-pop @p1654 :rule scope :premises (@p1653)) % 45.44/45.78 (step-pop @p1655 :rule scope :premises (@p1654)) % 45.44/45.78 (step @p809 :rule process_scope :premises (@p1655) :args (false)) % 45.44/45.78 (step @p814 :rule not_and :premises (@p809)) % 45.44/45.78 (step @p815 :rule eq_resolve :premises (@p814 @p771)) % 45.44/45.78 (step @p816 :rule reordering :premises (@p815) :args ((or @t250 @t417 @t415 @t416))) % 45.44/45.78 (step @p817 :rule aci_norm :args ((= (or @t394 @t432 @t258 @t431 false @t418) @t433))) % 45.44/45.78 (step @p818 :rule refl :args (@t418)) % 45.44/45.78 (step @p819 :rule evaluate :args ((and false true))) % 45.44/45.78 (step @p820 :rule evaluate :args ((>= 1 0))) % 45.44/45.78 (step @p498 :rule refl :args (0)) % 45.44/45.78 (step @p821 :rule arith_poly_norm :args ((= @t434 1))) % 45.44/45.78 (step @p822 :rule cong :premises (@p821 @p498) :args ((>= @t434 0))) % 45.44/45.78 (step @p823 :rule trans :premises (@p822 @p820)) % 45.44/45.78 (step @p824 :rule arith-geq-norm1-int :args (@t234 @t235)) % 45.44/45.78 (step @p825 :rule trans :premises (@p824 @p823)) % 45.44/45.78 (step @p826 :rule arith-elim-leq :args (@t235 @t234)) % 45.44/45.78 (step @p827 :rule trans :premises (@p826 @p825)) % 45.44/45.78 (step @p497 :rule evaluate :args (@t342)) % 45.44/45.78 (step @p828 :rule arith_poly_norm :args ((= @t435 -1))) % 45.44/45.78 (step @p829 :rule cong :premises (@p828 @p498) :args ((>= @t435 0))) % 45.44/45.78 (step @p830 :rule trans :premises (@p829 @p497)) % 45.44/45.78 (step @p831 :rule arith-geq-norm1-int :args (@t235 @t234)) % 45.44/45.78 (step @p832 :rule trans :premises (@p831 @p830)) % 45.44/45.78 (step @p833 :rule nary_cong :premises (@p832 @p827) :args ((and (>= @t235 @t234) (<= @t235 @t234)))) % 45.44/45.78 (step @p834 :rule trans :premises (@p833 @p819)) % 45.44/45.78 (step @p835 :rule arith-eq-elim-int :args (@t235 @t234)) % 45.44/45.78 (step @p836 :rule trans :premises (@p835 @p834)) % 45.44/45.78 (step @p837 :rule arith_poly_norm :args ((= (* -2 (- @t437 1)) @t436))) % 45.44/45.78 (step @p838 :rule arith_poly_norm_rel :premises (@p837) :args ((= (>= @t437 1) @t404))) % 45.44/45.78 (step @p839 :rule arith_poly_norm :args ((= @t438 @t437))) % 45.44/45.78 (step @p840 :rule arith_poly_norm :args ((= @t439 @t438))) % 45.44/45.78 (step @p841 :rule trans :premises (@p840 @p839)) % 45.44/45.78 (step @p842 :rule cong :premises (@p841 @p396) :args (@t440)) % 45.44/45.78 (step @p843 :rule trans :premises (@p842 @p838)) % 45.44/45.78 (step @p844 :rule cong :premises (@p843) :args (@t441)) % 45.44/45.78 (step @p845 :rule arith_poly_norm :args ((= (* -1 (- @t442 0)) (* -1 (- @t264 1))))) % 45.44/45.78 (step @p846 :rule arith_poly_norm_rel :premises (@p845) :args ((= (>= @t442 0) @t432))) % 45.44/45.78 (step @p565 :rule refl :args (0)) % 45.44/45.78 (step @p847 :rule arith_poly_norm :args ((= @t443 @t442))) % 45.44/45.78 (step @p848 :rule arith_poly_norm :args ((= @t444 @t443))) % 45.44/45.78 (step @p849 :rule trans :premises (@p848 @p847)) % 45.44/45.78 (step @p850 :rule cong :premises (@p849 @p565) :args (@t445)) % 45.44/45.78 (step @p851 :rule trans :premises (@p850 @p846)) % 45.44/45.78 (step @p852 :rule arith_poly_norm :args ((= (* -2 (- @t235 1)) (* -2 (- @t234 2))))) % 45.44/45.78 (step @p853 :rule arith_poly_norm_rel :premises (@p852) :args ((= @t446 @t393))) % 45.44/45.78 (step @p854 :rule cong :premises (@p853) :args (@t447)) % 45.44/45.78 (step @p855 :rule nary_cong :premises (@p854 @p851 @p335 @p844 @p836 @p818) :args (@t448)) % 45.44/45.78 (step @p856 :rule trans :premises (@p855 @p817)) % 45.44/45.78 (step @p857 :rule cong :premises (@p405 @p856) :args ((=> @t277 @t448))) % 45.44/45.78 (assume-push @p1656 @t277) % 45.44/45.78 (step @p859 :rule instantiate :premises (@p389) :args ((@list @t235 @t233))) % 45.44/45.78 (step-pop @p1657 :rule scope :premises (@p859)) % 45.44/45.78 (step @p860 :rule process_scope :premises (@p1657) :args (@t448)) % 45.44/45.78 (step @p862 :rule eq_resolve :premises (@p860 @p857)) % 45.44/45.78 (step @p863 :rule implies_elim :premises (@p862)) % 45.44/45.78 (step @p864 :rule chain_m_resolution :premises (@p863 @p389) :args (@t433 @t309 @t310)) % 45.44/45.78 (step @p865 :rule cnf_or_neg :args (@t280 4)) % 45.44/45.78 (step @p866 :rule chain_m_resolution :premises (@p865 @p363) :args (@t449 @t289 @t290)) % 45.44/45.78 (step @p867 :rule refl :args (@t450)) % 45.44/45.78 (step @p868 :rule bool-double-not-elim :args (@t265)) % 45.44/45.78 (step @p869 :rule nary_cong :premises (@p868 @p867) :args ((or (not @t449) @t450))) % 45.44/45.78 (assume-push @p1658 @t432) % 45.44/45.78 (assume-push @p1659 @t449) % 45.44/45.78 (step @p872 :rule bool-double-not-elim :args (@t432)) % 45.44/45.78 (step @p873 :rule arith-elim-lt :args (@t264 1)) % 45.44/45.78 (step @p874 :rule cong :premises (@p873) :args ((not (< @t264 1)))) % 45.44/45.78 (step @p875 :rule trans :premises (@p874 @p872)) % 45.44/45.78 (step @p876 :rule symm :premises (@p875)) % 45.44/45.78 (step @p877 :rule eq_resolve :premises (@p1658 @p876)) % 45.44/45.78 (step @p878 :rule symm :premises (@p873)) % 45.44/45.78 (assume-push @p1660 @t432) % 45.44/45.78 (step @p563 :rule evaluate :args (@t359)) % 45.44/45.78 (step @p880 :rule evaluate :args ((+ -1 -1))) % 45.44/45.78 (step @p881 :rule refl :args (-1)) % 45.44/45.78 (step @p882 :rule nary_cong :premises (@p240 @p881) :args (@t451)) % 45.44/45.78 (step @p883 :rule trans :premises (@p882 @p880)) % 45.44/45.78 (step @p884 :rule evaluate :args (@t452)) % 45.44/45.78 (step @p433 :rule arith_poly_norm :args (@t324)) % 45.44/45.78 (step @p885 :rule arith_poly_norm :args ((= @t453 0))) % 45.44/45.78 (step @p886 :rule nary_cong :premises (@p885 @p433) :args (@t454)) % 45.44/45.78 (step @p887 :rule trans :premises (@p886 @p884)) % 45.44/45.78 (step @p888 :rule arith_poly_norm :args ((= @t455 @t454))) % 45.44/45.78 (step @p889 :rule trans :premises (@p888 @p887)) % 45.44/45.78 (step @p890 :rule cong :premises (@p889 @p883) :args ((<= @t455 @t451))) % 45.44/45.78 (step @p891 :rule trans :premises (@p890 @p563)) % 45.44/45.78 (step @p892 :rule arith-elim-lt :args (@t264 0)) % 45.44/45.78 (step @p893 :rule symm :premises (@p892)) % 45.44/45.78 (step @p894 :rule eq_resolve :premises (@p866 @p893)) % 45.44/45.78 (step @p895 :rule int_tight_ub :premises (@p894)) % 45.44/45.78 (step @p896 :rule arith_mult_neg :args (-1 @t432)) % 45.44/45.78 (step @p448 :rule evaluate :args (@t332)) % 45.44/45.78 (step @p449 :rule true_elim :premises (@p448)) % 45.44/45.78 (step @p897 :rule and_intro :premises (@p449 @p1658)) % 45.44/45.78 (step @p898 :rule modus_ponens :premises (@p897 @p896)) % 45.44/45.78 (step @p899 :rule arith_sum_ub :premises (@p898 @p895)) % 45.44/45.78 (step @p900 false :rule eq_resolve :premises (@p899 @p891)) % 45.44/45.78 (step-pop @p1661 :rule scope :premises (@p900)) % 45.44/45.78 (step @p901 :rule process_scope :premises (@p1661) :args (false)) % 45.44/45.78 (step @p903 :rule eq_resolve :premises (@p901 @p878)) % 45.44/45.78 (step @p904 false :rule contra :premises (@p903 @p877)) % 45.44/45.78 (step-pop @p1662 :rule scope :premises (@p904)) % 45.44/45.78 (step-pop @p1663 :rule scope :premises (@p1662)) % 45.44/45.78 (step @p905 :rule process_scope :premises (@p1663) :args (false)) % 45.44/45.78 (assume-push @p1664 @t449) % 45.44/45.78 (assume-push @p1665 @t432) % 45.44/45.78 (step @p910 :rule and_intro :premises (@p1665 @p866)) % 45.44/45.78 (step-pop @p1666 :rule scope :premises (@p910)) % 45.44/45.78 (step-pop @p1667 :rule scope :premises (@p1666)) % 45.44/45.78 (step @p911 :rule process_scope :premises (@p1667) :args (@t456)) % 45.44/45.78 (step @p914 :rule implies_elim :premises (@p911)) % 45.44/45.78 (step @p915 :rule resolution :premises (@p914 @p905) :args (true @t456)) % 45.44/45.78 (step @p916 :rule not_and :premises (@p915)) % 45.44/45.78 (step @p917 :rule eq_resolve :premises (@p916 @p869)) % 45.44/45.78 (step @p918 :rule chain_m_resolution :premises (@p917 @p866) :args (@t450 @t289 (@list @t265))) % 45.44/45.78 (step @p919 :rule cnf_or_pos :args (@t433)) % 45.44/45.78 (step @p920 :rule reordering :premises (@p919) :args ((or @t258 @t394 @t432 @t431 @t418 (not @t433)))) % 45.44/45.78 (step @p921 :rule chain_m_resolution :premises (@p920 @p918 @p864 @p673 @p816 @p370 @p767 @p745 @p724 @p673 @p667 @p665 @p652 @p375 @p557 @p370 @p556 @p550 @p383 @p548 @p375 @p529 @p419 @p482 @p419) :args (@t313 (@list true false false false false false false false false false false true false false false false false false false false true false false false) (@list @t432 @t433 @t257 @t415 @t249 @t404 @t411 @t393 @t257 @t386 @t391 @t378 @t350 @t380 @t249 @t272 @t354 @t355 @t351 @t350 @t340 @t255 @t312 @t255))) % 45.44/45.78 (step @p922 :rule cnf_or_neg :args (@t280 6)) % 45.44/45.78 (step @p923 :rule chain_m_resolution :premises (@p922 @p363) :args ((not @t261) @t289 @t290)) % 45.44/45.78 (step @p924 :rule bool-double-not-elim :args (@t262)) % 45.44/45.78 (step @p925 :rule nary_cong :premises (@p365 @p924) :args ((or @t280 (not @t263)))) % 45.44/45.78 (step @p926 :rule cnf_or_neg :args (@t280 5)) % 45.44/45.78 (step @p927 :rule eq_resolve :premises (@p926 @p925)) % 45.44/45.78 (step @p928 :rule reordering :premises (@p927) :args ((or @t262 @t280))) % 45.44/45.78 (step @p929 :rule chain_m_resolution :premises (@p928 @p363) :args (@t262 @t289 @t290)) % 45.44/45.78 (step @p930 :rule cnf_or_pos :args (@t308)) % 45.44/45.78 (step @p931 :rule reordering :premises (@p930) :args ((or @t263 @t261 @t258 @t256 @t305 @t297 (not @t308)))) % 45.44/45.78 (step @p932 :rule chain_m_resolution :premises (@p931 @p929 @p923 @p673 @p419 @p921 @p413) :args (@t297 (@list false true false false true false) (@list @t262 @t261 @t257 @t255 @t305 @t308))) % 45.44/45.78 (step @p933 :rule refl :args (@t458)) % 45.44/45.78 (step @p934 :rule arith_poly_norm :args ((= (* -1 (- @t235 @t245)) @t459))) % 45.44/45.78 (step @p935 :rule arith_poly_norm_rel :premises (@p934) :args ((= @t460 @t252))) % 45.44/45.78 (step @p936 :rule nary_cong :premises (@p935 @p933) :args (@t461)) % 45.44/45.78 (step @p937 :rule cong :premises (@p657 @p936) :args ((=> @t390 @t461))) % 45.44/45.78 (assume-push @p1668 @t390) % 45.44/45.78 (step @p939 :rule instantiate :premises (@p382) :args ((@list @t237 @t235 @t245 @t239))) % 45.44/45.78 (step-pop @p1669 :rule scope :premises (@p939)) % 45.44/45.78 (step @p940 :rule process_scope :premises (@p1669) :args (@t461)) % 45.44/45.78 (step @p942 :rule eq_resolve :premises (@p940 @p937)) % 45.44/45.78 (step @p943 :rule implies_elim :premises (@p942)) % 45.44/45.78 (step @p944 :rule chain_m_resolution :premises (@p943 @p382) :args (@t462 @t309 @t392)) % 45.44/45.78 (step @p945 :rule cnf_or_neg :args (@t280 9)) % 45.44/45.78 (step @p946 :rule chain_m_resolution :premises (@p945 @p363) :args (@t463 @t289 @t290)) % 45.44/45.78 (step @p947 :rule cnf_or_pos :args (@t462)) % 45.44/45.78 (step @p948 :rule reordering :premises (@p947) :args ((or @t252 @t458 (not @t462)))) % 45.44/45.78 (step @p949 :rule chain_m_resolution :premises (@p948 @p946 @p944) :args (@t458 @t464 (@list @t252 @t462))) % 45.44/45.78 (step @p950 :rule instantiate :premises (@p382) :args ((@list @t240 @t234 @t245 @t238))) % 45.44/45.78 (step @p951 :rule cnf_or_pos :args (@t466)) % 45.44/45.78 (step @p952 :rule reordering :premises (@p951) :args ((or @t305 @t465 (not @t466)))) % 45.44/45.78 (step @p953 :rule chain_m_resolution :premises (@p952 @p921 @p950) :args (@t465 @t464 (@list @t305 @t466))) % 45.44/45.78 (assume-push @p1670 @t297) % 45.44/45.78 (assume-push @p1671 @t249) % 45.44/45.78 (assume-push @p1672 @t467) % 45.44/45.78 (assume-push @p1673 @t411) % 45.44/45.78 (assume-push @p1674 @t428) % 45.44/45.78 (step @p959 :rule evaluate :args (@t468)) % 45.44/45.78 (step @p960 :rule evaluate :args ((+ 0 0 -1 0))) % 45.44/45.78 (step @p429 :rule evaluate :args (@t320)) % 45.44/45.78 (step @p961 :rule nary_cong :premises (@p429 @p565 @p240 @p429) :args (@t469)) % 45.44/45.78 (step @p962 :rule trans :premises (@p961 @p960)) % 45.44/45.78 (step @p963 :rule arith_poly_norm :args ((= (+ 0 @t295 @t298 @t243 @t244 0) 0))) % 45.44/45.78 (step @p964 :rule arith_poly_norm :args (@t471)) % 45.44/45.78 (step @p781 :rule refl :args (@t244)) % 45.44/45.78 (step @p782 :rule refl :args (@t243)) % 45.44/45.78 (step @p965 :rule refl :args (@t298)) % 45.44/45.78 (step @p966 :rule refl :args (@t295)) % 45.44/45.78 (step @p967 :rule arith_poly_norm :args (@t473)) % 45.44/45.78 (step @p968 :rule nary_cong :premises (@p967 @p966 @p965 @p782 @p781 @p964) :args (@t474)) % 45.44/45.78 (step @p969 :rule trans :premises (@p968 @p963)) % 45.44/45.78 (step @p970 :rule arith_poly_norm :args ((= @t476 @t474))) % 45.44/45.78 (step @p971 :rule trans :premises (@p970 @p969)) % 45.44/45.78 (step @p972 :rule cong :premises (@p971 @p962) :args ((<= @t476 @t469))) % 45.44/45.78 (step @p973 :rule trans :premises (@p972 @p959)) % 45.44/45.78 (step @p974 :rule arith_mult_neg :args (-1 @t297)) % 45.44/45.78 (step @p448 :rule evaluate :args (@t332)) % 45.44/45.78 (step @p449 :rule true_elim :premises (@p448)) % 45.44/45.78 (step @p975 :rule and_intro :premises (@p449 @p1670)) % 45.44/45.78 (step @p976 :rule modus_ponens :premises (@p975 @p974)) % 45.44/45.78 (step @p591 :rule arith_mult_neg :args (-1 @t249)) % 45.44/45.78 (step @p592 :rule and_intro :premises (@p449 @p370)) % 45.44/45.78 (step @p593 :rule modus_ponens :premises (@p592 @p591)) % 45.44/45.78 (step @p977 :rule arith_poly_norm :args (@t477)) % 45.44/45.78 (step @p978 :rule arith_poly_norm_rel :premises (@p977) :args (@t479)) % 45.44/45.78 (step @p979 :rule symm :premises (@p978)) % 45.44/45.78 (step @p980 :rule eq_resolve :premises (@p1672 @p979)) % 45.44/45.78 (step @p794 :rule arith_mult_neg :args (-1 @t428)) % 45.44/45.78 (step @p981 :rule and_intro :premises (@p449 @p1674)) % 45.44/45.78 (step @p982 :rule modus_ponens :premises (@p981 @p794)) % 45.44/45.78 (step @p983 :rule arith_sum_ub :premises (@p982 @p980 @p593 @p976)) % 45.44/45.78 (step @p984 false :rule eq_resolve :premises (@p983 @p973)) % 45.44/45.78 (step-pop @p1675 :rule scope :premises (@p984)) % 45.44/45.78 (step @p985 :rule process_scope :premises (@p1675) :args (false)) % 45.44/45.78 (step @p795 :rule arith_poly_norm :args (@t429)) % 45.44/45.78 (step @p796 :rule arith_poly_norm_rel :premises (@p795) :args (@t430)) % 45.44/45.78 (step @p797 :rule symm :premises (@p796)) % 45.44/45.78 (step @p987 :rule eq_resolve :premises (@p1673 @p797)) % 45.44/45.78 (step @p988 false :rule contra :premises (@p987 @p985)) % 45.44/45.78 (step-pop @p1676 :rule scope :premises (@p988)) % 45.44/45.78 (step-pop @p1677 :rule scope :premises (@p1676)) % 45.44/45.78 (step-pop @p1678 :rule scope :premises (@p1677)) % 45.44/45.78 (step-pop @p1679 :rule scope :premises (@p1678)) % 45.44/45.78 (step @p989 :rule process_scope :premises (@p1679) :args (false)) % 45.44/45.78 (assume-push @p1680 @t249) % 45.44/45.78 (assume-push @p1681 @t465) % 45.44/45.78 (assume-push @p1682 @t458) % 45.44/45.78 (assume-push @p1683 @t411) % 45.44/45.78 (assume-push @p1684 @t297) % 45.44/45.78 (assume-push @p1685 @t458) % 45.44/45.78 (assume-push @p1686 @t465) % 45.44/45.78 (step @p1001 :rule trans :premises (@p1681 @p949)) % 45.44/45.78 (step @p1002 :rule cong :premises (@p1001) :args (@t247)) % 45.44/45.78 (step-pop @p1687 :rule scope :premises (@p1002)) % 45.44/45.78 (step-pop @p1688 :rule scope :premises (@p1687)) % 45.44/45.78 (step @p1003 :rule process_scope :premises (@p1688) :args (@t467)) % 45.44/45.78 (step @p1006 :rule and_intro :premises (@p949 @p1681)) % 45.44/45.78 (step @p1007 :rule modus_ponens :premises (@p1006 @p1003)) % 45.44/45.78 (step @p1008 :rule and_intro :premises (@p1684 @p370 @p1007 @p1683)) % 45.44/45.78 (step-pop @p1689 :rule scope :premises (@p1008)) % 45.44/45.78 (step-pop @p1690 :rule scope :premises (@p1689)) % 45.44/45.78 (step-pop @p1691 :rule scope :premises (@p1690)) % 45.44/45.78 (step-pop @p1692 :rule scope :premises (@p1691)) % 45.44/45.78 (step-pop @p1693 :rule scope :premises (@p1692)) % 45.44/45.78 (step @p1009 :rule process_scope :premises (@p1693) :args (@t480)) % 45.44/45.78 (step @p1015 :rule implies_elim :premises (@p1009)) % 45.44/45.78 (step @p1016 :rule resolution :premises (@p1015 @p989) :args (true @t480)) % 45.44/45.78 (step @p1017 :rule not_and :premises (@p1016)) % 45.44/45.78 (step @p1018 :rule chain_m_resolution :premises (@p1017 @p370 @p953 @p949 @p932) :args (@t416 @t481 (@list @t249 @t465 @t458 @t297))) % 45.44/45.78 (step @p1019 :rule refl :args (@t395)) % 45.44/45.78 (step @p1020 :rule nary_cong :premises (@p1019 @p420) :args ((or @t395 @t315))) % 45.44/45.78 (assume-push @p1694 @t314) % 45.44/45.78 (assume-push @p1695 @t378) % 45.44/45.78 (step @p1023 :rule refl :args (@t311)) % 45.44/45.78 (step @p1024 :rule cong :premises (@p1023 @p221) :args (@t482)) % 45.44/45.78 (step @p1025 :rule cong :premises (@p1024) :args ((not @t482))) % 45.44/45.78 (step @p1026 :rule arith-leq-norm :args (@t311 0)) % 45.44/45.78 (step @p1027 :rule trans :premises (@p1026 @p1025)) % 45.44/45.78 (step @p1028 :rule cong :premises (@p1027) :args ((not @t483))) % 45.44/45.78 (step @p1029 :rule trans :premises (@p1028 @p420)) % 45.44/45.78 (step @p1030 :rule arith-elim-leq :args (@t311 0)) % 45.44/45.78 (step @p1031 :rule symm :premises (@p1030)) % 45.44/45.78 (step @p1032 :rule cong :premises (@p1031) :args ((not (>= 0 @t311)))) % 45.44/45.78 (step @p1033 :rule arith-elim-gt :args (@t311 0)) % 45.44/45.78 (step @p1034 :rule trans :premises (@p1033 @p1032)) % 45.44/45.78 (step @p1035 :rule trans :premises (@p1034 @p1029)) % 45.44/45.78 (step @p1036 :rule cong :premises (@p1035) :args ((not (> @t311 0)))) % 45.44/45.78 (step @p1037 :rule symm :premises (@p1036)) % 45.44/45.78 (step @p1038 :rule trans :premises (@p1027 @p1037)) % 45.44/45.78 (step @p452 :rule arith-elim-lt :args (@t311 1)) % 45.44/45.78 (step @p453 :rule symm :premises (@p452)) % 45.44/45.78 (step @p1039 :rule eq_resolve :premises (@p1694 @p453)) % 45.44/45.78 (step @p1040 :rule int_tight_ub :premises (@p1039)) % 45.44/45.78 (step @p1041 :rule eq_resolve :premises (@p1040 @p1038)) % 45.44/45.78 (step @p1042 :rule symm :premises (@p1035)) % 45.44/45.78 (step @p1043 :rule trans :premises (@p1029 @p1042)) % 45.44/45.78 (assume-push @p1696 @t483) % 45.44/45.78 (step @p959 :rule evaluate :args (@t468)) % 45.44/45.78 (step @p1045 :rule evaluate :args (@t484)) % 45.44/45.78 (step @p1046 :rule nary_cong :premises (@p565 @p240) :args (@t485)) % 45.44/45.78 (step @p1047 :rule trans :premises (@p1046 @p1045)) % 45.44/45.78 (step @p884 :rule evaluate :args (@t452)) % 45.44/45.78 (step @p433 :rule arith_poly_norm :args (@t324)) % 45.44/45.78 (step @p435 :rule arith_poly_norm :args (@t326)) % 45.44/45.78 (step @p1048 :rule nary_cong :premises (@p435 @p433) :args (@t486)) % 45.44/45.78 (step @p1049 :rule trans :premises (@p1048 @p884)) % 45.44/45.78 (step @p1050 :rule arith_poly_norm :args (@t488)) % 45.44/45.78 (step @p1051 :rule trans :premises (@p1050 @p1049)) % 45.44/45.78 (step @p1052 :rule cong :premises (@p1051 @p1047) :args (@t489)) % 45.44/45.78 (step @p1053 :rule trans :premises (@p1052 @p959)) % 45.44/45.78 (step @p1054 :rule arith_mult_neg :args (-1 @t407)) % 45.44/45.78 (step @p700 :rule arith_poly_norm :args (@t406)) % 45.44/45.78 (step @p701 :rule arith_poly_norm_rel :premises (@p700) :args (@t408)) % 45.44/45.78 (step @p1055 :rule symm :premises (@p701)) % 45.44/45.78 (step @p1056 :rule eq_resolve :premises (@p1695 @p1055)) % 45.44/45.78 (step @p448 :rule evaluate :args (@t332)) % 45.44/45.78 (step @p449 :rule true_elim :premises (@p448)) % 45.44/45.78 (step @p1057 :rule and_intro :premises (@p449 @p1056)) % 45.44/45.78 (step @p1058 :rule modus_ponens :premises (@p1057 @p1054)) % 45.44/45.78 (step @p1059 :rule arith_sum_ub :premises (@p1696 @p1058)) % 45.44/45.78 (step @p1060 false :rule eq_resolve :premises (@p1059 @p1053)) % 45.44/45.78 (step-pop @p1697 :rule scope :premises (@p1060)) % 45.44/45.78 (step @p1061 :rule process_scope :premises (@p1697) :args (false)) % 45.44/45.78 (step @p1063 :rule eq_resolve :premises (@p1061 @p1043)) % 45.44/45.78 (step @p1064 false :rule contra :premises (@p1063 @p1041)) % 45.44/45.78 (step-pop @p1698 :rule scope :premises (@p1064)) % 45.44/45.78 (step-pop @p1699 :rule scope :premises (@p1698)) % 45.44/45.78 (step @p1065 :rule process_scope :premises (@p1699) :args (false)) % 45.44/45.78 (assume-push @p1700 @t378) % 45.44/45.78 (assume-push @p1701 @t314) % 45.44/45.78 (step @p1070 :rule and_intro :premises (@p1701 @p1700)) % 45.44/45.78 (step-pop @p1702 :rule scope :premises (@p1070)) % 45.44/45.78 (step-pop @p1703 :rule scope :premises (@p1702)) % 45.44/45.78 (step @p1071 :rule process_scope :premises (@p1703) :args (@t490)) % 45.44/45.78 (step @p1074 :rule implies_elim :premises (@p1071)) % 45.44/45.78 (step @p1075 :rule resolution :premises (@p1074 @p1065) :args (true @t490)) % 45.44/45.78 (step @p1076 :rule not_and :premises (@p1075)) % 45.44/45.78 (step @p1077 :rule eq_resolve :premises (@p1076 @p1020)) % 45.44/45.78 (assume-push @p1704 @t378) % 45.44/45.78 (assume-push @p1705 @t378) % 45.44/45.78 (step @p1080 :rule arith-elim-lt :args (@t311 2)) % 45.44/45.78 (step @p1081 :rule symm :premises (@p1080)) % 45.44/45.78 (assume-push @p1706 @t404) % 45.44/45.78 (step @p959 :rule evaluate :args (@t468)) % 45.44/45.78 (step @p1083 :rule evaluate :args ((+ -2 1))) % 45.44/45.78 (step @p683 :rule evaluate :args (@t397)) % 45.44/45.78 (step @p1084 :rule nary_cong :premises (@p683 @p396) :args (@t491)) % 45.44/45.78 (step @p1085 :rule trans :premises (@p1084 @p1083)) % 45.44/45.78 (step @p884 :rule evaluate :args (@t452)) % 45.44/45.78 (step @p433 :rule arith_poly_norm :args (@t324)) % 45.44/45.78 (step @p435 :rule arith_poly_norm :args (@t326)) % 45.44/45.78 (step @p1048 :rule nary_cong :premises (@p435 @p433) :args (@t486)) % 45.44/45.78 (step @p1049 :rule trans :premises (@p1048 @p884)) % 45.44/45.78 (step @p1086 :rule arith_poly_norm :args ((= @t492 @t486))) % 45.44/45.78 (step @p1087 :rule trans :premises (@p1086 @p1049)) % 45.44/45.78 (step @p1088 :rule cong :premises (@p1087 @p1085) :args ((<= @t492 @t491))) % 45.44/45.78 (step @p1089 :rule trans :premises (@p1088 @p959)) % 45.44/45.78 (step @p700 :rule arith_poly_norm :args (@t406)) % 45.44/45.78 (step @p701 :rule arith_poly_norm_rel :premises (@p700) :args (@t408)) % 45.44/45.78 (step @p1055 :rule symm :premises (@p701)) % 45.44/45.78 (step @p1090 :rule eq_resolve :premises (@p1704 @p1055)) % 45.44/45.78 (step @p699 :rule arith_mult_neg :args (-1 @t404)) % 45.44/45.78 (step @p448 :rule evaluate :args (@t332)) % 45.44/45.78 (step @p449 :rule true_elim :premises (@p448)) % 45.44/45.78 (step @p1091 :rule and_intro :premises (@p449 @p1706)) % 45.44/45.78 (step @p1092 :rule modus_ponens :premises (@p1091 @p699)) % 45.44/45.78 (step @p1093 :rule arith_sum_ub :premises (@p1092 @p1090)) % 45.44/45.78 (step @p1094 false :rule eq_resolve :premises (@p1093 @p1089)) % 45.44/45.78 (step-pop @p1707 :rule scope :premises (@p1094)) % 45.44/45.78 (step @p1095 :rule process_scope :premises (@p1707) :args (false)) % 45.44/45.78 (step @p1097 :rule eq_resolve :premises (@p1095 @p1081)) % 45.44/45.78 (step @p1098 :rule eq_resolve :premises (@p1097 @p1080)) % 45.44/45.78 (step-pop @p1708 :rule scope :premises (@p1098)) % 45.44/45.78 (step @p1099 :rule process_scope :premises (@p1708) :args (@t431)) % 45.44/45.78 (step @p1101 :rule modus_ponens :premises (@p1704 @p1099)) % 45.44/45.78 (step-pop @p1709 :rule scope :premises (@p1101)) % 45.44/45.78 (step @p1102 :rule process_scope :premises (@p1709) :args (@t431)) % 45.44/45.78 (step @p1104 :rule implies_elim :premises (@p1102)) % 45.44/45.78 (assume-push @p1710 @t312) % 45.44/45.78 (assume-push @p1711 @t312) % 45.44/45.78 (step @p1107 :rule arith_poly_norm :args ((= (* 1 (- @t311 0)) (* 1 (- @t234 @t233))))) % 45.44/45.78 (step @p1108 :rule arith_poly_norm_rel :premises (@p1107) :args ((= @t493 @t340))) % 45.44/45.78 (step @p1109 :rule cong :premises (@p1108) :args ((not @t493))) % 45.44/45.78 (assume-push @p1712 @t493) % 45.44/45.78 (step @p959 :rule evaluate :args (@t468)) % 45.44/45.78 (step @p1045 :rule evaluate :args (@t484)) % 45.44/45.78 (step @p1046 :rule nary_cong :premises (@p565 @p240) :args (@t485)) % 45.44/45.78 (step @p1047 :rule trans :premises (@p1046 @p1045)) % 45.44/45.78 (step @p884 :rule evaluate :args (@t452)) % 45.44/45.78 (step @p433 :rule arith_poly_norm :args (@t324)) % 45.44/45.78 (step @p435 :rule arith_poly_norm :args (@t326)) % 45.44/45.78 (step @p1048 :rule nary_cong :premises (@p435 @p433) :args (@t486)) % 45.44/45.78 (step @p1049 :rule trans :premises (@p1048 @p884)) % 45.44/45.78 (step @p1050 :rule arith_poly_norm :args (@t488)) % 45.44/45.78 (step @p1051 :rule trans :premises (@p1050 @p1049)) % 45.44/45.78 (step @p1052 :rule cong :premises (@p1051 @p1047) :args (@t489)) % 45.44/45.78 (step @p1053 :rule trans :premises (@p1052 @p959)) % 45.44/45.78 (step @p1111 :rule arith_mult_neg :args (-1 @t312)) % 45.44/45.78 (step @p448 :rule evaluate :args (@t332)) % 45.44/45.78 (step @p449 :rule true_elim :premises (@p448)) % 45.44/45.78 (step @p1112 :rule and_intro :premises (@p449 @p1710)) % 45.44/45.78 (step @p1113 :rule modus_ponens :premises (@p1112 @p1111)) % 45.44/45.78 (step @p1114 :rule arith_sum_ub :premises (@p1712 @p1113)) % 45.44/45.78 (step @p1115 false :rule eq_resolve :premises (@p1114 @p1053)) % 45.44/45.78 (step-pop @p1713 :rule scope :premises (@p1115)) % 45.44/45.78 (step @p1116 :rule process_scope :premises (@p1713) :args (false)) % 45.44/45.78 (step @p1118 :rule eq_resolve :premises (@p1116 @p1109)) % 45.44/45.78 (step-pop @p1714 :rule scope :premises (@p1118)) % 45.44/45.78 (step @p1119 :rule process_scope :premises (@p1714) :args (@t341)) % 45.44/45.78 (step @p1121 :rule modus_ponens :premises (@p1710 @p1119)) % 45.44/45.78 (step-pop @p1715 :rule scope :premises (@p1121)) % 45.44/45.78 (step @p1122 :rule process_scope :premises (@p1715) :args (@t341)) % 45.44/45.78 (step @p1124 :rule implies_elim :premises (@p1122)) % 45.44/45.78 (step @p1125 :rule reordering :premises (@p1124) :args ((or @t341 @t314))) % 45.44/45.78 (step @p1126 :rule refl :args (@t495)) % 45.44/45.78 (step @p1127 :rule bool-double-not-elim :args (@t404)) % 45.44/45.78 (step @p1128 :rule bool-double-not-elim :args (@t305)) % 45.44/45.78 (step @p1129 :rule bool-double-not-elim :args (@t252)) % 45.44/45.78 (step @p1130 :rule nary_cong :premises (@p334 @p1129 @p1128 @p1127 @p1126) :args ((or @t256 (not @t463) (not @t313) (not @t431) @t495))) % 45.44/45.78 (assume-push @p1716 @t255) % 45.44/45.78 (assume-push @p1717 @t431) % 45.44/45.78 (assume-push @p1718 @t463) % 45.44/45.78 (assume-push @p1719 @t313) % 45.44/45.78 (assume-push @p1720 @t494) % 45.44/45.78 (step @p1136 :rule arith-elim-lt :args (@t317 2)) % 45.44/45.78 (step @p1137 :rule symm :premises (@p1136)) % 45.44/45.78 (assume-push @p1721 @t496) % 45.44/45.78 (step @p1139 :rule evaluate :args ((>= 0 -1))) % 45.44/45.78 (step @p1140 :rule evaluate :args ((+ -2 2 -1))) % 45.44/45.78 (step @p684 :rule refl :args (2)) % 45.44/45.78 (step @p683 :rule evaluate :args (@t397)) % 45.44/45.78 (step @p1141 :rule nary_cong :premises (@p683 @p684 @p240) :args (@t497)) % 45.44/45.78 (step @p1142 :rule trans :premises (@p1141 @p1140)) % 45.44/45.78 (step @p432 :rule arith_poly_norm :args (@t322)) % 45.44/45.78 (step @p433 :rule arith_poly_norm :args (@t324)) % 45.44/45.78 (step @p434 :rule refl :args (@t316)) % 45.44/45.78 (step @p435 :rule arith_poly_norm :args (@t326)) % 45.44/45.78 (step @p436 :rule refl :args (@t245)) % 45.44/45.78 (step @p437 :rule nary_cong :premises (@p436 @p435 @p434 @p433) :args (@t327)) % 45.44/45.78 (step @p438 :rule trans :premises (@p437 @p432)) % 45.44/45.78 (step @p439 :rule arith_poly_norm :args (@t330)) % 45.44/45.78 (step @p440 :rule trans :premises (@p439 @p438)) % 45.44/45.78 (step @p1143 :rule cong :premises (@p440 @p1142) :args (@t498)) % 45.44/45.78 (step @p1144 :rule trans :premises (@p1143 @p1139)) % 45.44/45.78 (step @p1145 :rule cong :premises (@p1144) :args ((not @t498))) % 45.44/45.78 (step @p1146 :rule trans :premises (@p1145 @p54)) % 45.44/45.78 (step @p1147 :rule arith-elim-lt :args (@t329 @t497)) % 45.44/45.78 (step @p1148 :rule trans :premises (@p1147 @p1146)) % 45.44/45.78 (step @p447 :rule arith_mult_neg :args (-1 @t255)) % 45.44/45.78 (step @p448 :rule evaluate :args (@t332)) % 45.44/45.78 (step @p449 :rule true_elim :premises (@p448)) % 45.44/45.78 (step @p450 :rule and_intro :premises (@p449 @p419)) % 45.44/45.78 (step @p451 :rule modus_ponens :premises (@p450 @p447)) % 45.44/45.78 (step @p1080 :rule arith-elim-lt :args (@t311 2)) % 45.44/45.78 (step @p1081 :rule symm :premises (@p1080)) % 45.44/45.78 (step @p1149 :rule eq_resolve :premises (@p1717 @p1081)) % 45.44/45.78 (step @p1150 :rule arith_mult_neg :args (-1 @t496)) % 45.44/45.78 (step @p1151 :rule and_intro :premises (@p449 @p1721)) % 45.44/45.78 (step @p1152 :rule modus_ponens :premises (@p1151 @p1150)) % 45.44/45.78 (step @p1153 :rule arith_sum_ub :premises (@p1152 @p1149 @p451)) % 45.44/45.78 (step @p1154 false :rule eq_resolve :premises (@p1153 @p1148)) % 45.44/45.78 (step-pop @p1722 :rule scope :premises (@p1154)) % 45.44/45.78 (step @p1155 :rule process_scope :premises (@p1722) :args (false)) % 45.44/45.78 (step @p1157 :rule eq_resolve :premises (@p1155 @p1137)) % 45.44/45.78 (step @p1158 :rule eq_resolve :premises (@p1157 @p1136)) % 45.44/45.78 (step @p462 :rule arith_poly_norm :args (@t335)) % 45.44/45.78 (step @p463 :rule arith_poly_norm_rel :premises (@p462) :args (@t336)) % 45.44/45.78 (step @p1159 :rule cong :premises (@p463) :args ((not @t318))) % 45.44/45.78 (step @p1160 :rule symm :premises (@p1159)) % 45.44/45.78 (step @p1161 :rule eq_resolve :premises (@p1719 @p1160)) % 45.44/45.78 (step @p1162 :rule arith_trichotomy :premises (@p1161 @p1720)) % 45.44/45.78 (step @p1163 :rule int_tight_lb :premises (@p1162)) % 45.44/45.78 (step @p1164 :rule arith_poly_norm :args ((= @t499 @t459))) % 45.44/45.78 (step @p1165 :rule arith_poly_norm_rel :premises (@p1164) :args ((= @t500 @t252))) % 45.44/45.78 (step @p1166 :rule cong :premises (@p1165) :args ((not @t500))) % 45.44/45.78 (step @p1167 :rule symm :premises (@p1166)) % 45.44/45.78 (step @p1168 :rule eq_resolve :premises (@p946 @p1167)) % 45.44/45.78 (step @p1169 :rule arith_trichotomy :premises (@p1168 @p1163)) % 45.44/45.78 (step @p1170 :rule int_tight_lb :premises (@p1169)) % 45.44/45.78 (step @p1171 false :rule contra :premises (@p1170 @p1158)) % 45.44/45.78 (step-pop @p1723 :rule scope :premises (@p1171)) % 45.44/45.78 (step-pop @p1724 :rule scope :premises (@p1723)) % 45.44/45.78 (step-pop @p1725 :rule scope :premises (@p1724)) % 45.44/45.78 (step-pop @p1726 :rule scope :premises (@p1725)) % 45.44/45.78 (step-pop @p1727 :rule scope :premises (@p1726)) % 45.44/45.78 (step @p1172 :rule process_scope :premises (@p1727) :args (false)) % 45.44/45.78 (assume-push @p1728 @t255) % 45.44/45.78 (assume-push @p1729 @t463) % 45.44/45.78 (assume-push @p1730 @t313) % 45.44/45.78 (assume-push @p1731 @t431) % 45.44/45.78 (assume-push @p1732 @t494) % 45.44/45.78 (step @p1183 :rule and_intro :premises (@p419 @p1731 @p946 @p1730 @p1732)) % 45.44/45.78 (step-pop @p1733 :rule scope :premises (@p1183)) % 45.44/45.78 (step-pop @p1734 :rule scope :premises (@p1733)) % 45.44/45.78 (step-pop @p1735 :rule scope :premises (@p1734)) % 45.44/45.78 (step-pop @p1736 :rule scope :premises (@p1735)) % 45.44/45.78 (step-pop @p1737 :rule scope :premises (@p1736)) % 45.44/45.78 (step @p1184 :rule process_scope :premises (@p1737) :args (@t501)) % 45.44/45.78 (step @p1190 :rule implies_elim :premises (@p1184)) % 45.44/45.78 (step @p1191 :rule resolution :premises (@p1190 @p1172) :args (true @t501)) % 45.44/45.78 (step @p1192 :rule not_and :premises (@p1191)) % 45.44/45.78 (step @p1193 :rule eq_resolve :premises (@p1192 @p1130)) % 45.44/45.78 (step @p1194 :rule arith_poly_norm :args ((= @t333 @t334))) % 45.44/45.78 (step @p1195 :rule arith_poly_norm_rel :premises (@p1194) :args ((= @t502 @t494))) % 45.44/45.78 (step @p1196 :rule arith_poly_norm :args ((= (* -1 (- @t234 @t503)) @t499))) % 45.44/45.78 (step @p1197 :rule arith_poly_norm_rel :premises (@p1196) :args ((= @t505 @t504))) % 45.44/45.78 (step @p1198 :rule cong :premises (@p1197) :args ((not @t505))) % 45.44/45.78 (step @p1199 :rule arith-leq-norm :args (@t234 @t245)) % 45.44/45.78 (step @p1200 :rule trans :premises (@p1199 @p1198)) % 45.44/45.78 (step @p1201 :rule nary_cong :premises (@p1200 @p1195) :args ((or @t506 @t502))) % 45.44/45.78 (step @p1202 :rule symm :premises (@p1201)) % 45.44/45.78 (step @p1203 :rule bool-double-not-elim :args (@t502)) % 45.44/45.78 (step @p1204 :rule trans :premises (@p1203 @p1195)) % 45.44/45.78 (step @p1205 :rule bool-double-not-elim :args (@t506)) % 45.44/45.78 (step @p1206 :rule trans :premises (@p1205 @p1200)) % 45.44/45.78 (step @p1207 :rule nary_cong :premises (@p1206 @p1204) :args ((or (not @t508) (not @t507)))) % 45.44/45.78 (step @p1208 :rule trans :premises (@p1207 @p1202)) % 45.44/45.78 (assume-push @p1738 @t508) % 45.44/45.78 (assume-push @p1739 @t507) % 45.44/45.78 (step @p427 :rule evaluate :args (@t319)) % 45.44/45.78 (step @p1211 :rule arith_poly_norm :args ((= @t509 0))) % 45.44/45.78 (step @p1212 :rule arith_poly_norm :args (@t511)) % 45.44/45.78 (step @p1213 :rule cong :premises (@p1212 @p1211) :args (@t512)) % 45.44/45.78 (step @p1214 :rule trans :premises (@p1213 @p427)) % 45.44/45.78 (step @p1215 :rule cong :premises (@p1214) :args ((not @t512))) % 45.44/45.78 (step @p1216 :rule trans :premises (@p1215 @p54)) % 45.44/45.78 (step @p1217 :rule arith-elim-lt :args (@t510 @t509)) % 45.44/45.78 (step @p1218 :rule trans :premises (@p1217 @p1216)) % 45.44/45.78 (step @p1219 :rule cong :premises (@p1195) :args (@t507)) % 45.44/45.78 (step @p1220 :rule arith-elim-lt :args (@t234 @t245)) % 45.44/45.78 (step @p1221 :rule trans :premises (@p1220 @p1219)) % 45.44/45.78 (step @p1222 :rule symm :premises (@p1221)) % 45.44/45.78 (step @p1223 :rule trans :premises (@p1219 @p1222)) % 45.44/45.78 (step @p1224 :rule eq_resolve :premises (@p1739 @p1223)) % 45.44/45.78 (step @p1225 :rule arith_mult_neg :args (-1 (> @t234 @t245))) % 45.44/45.78 (step @p1226 :rule bool-double-not-elim :args (@t504)) % 45.44/45.78 (step @p1227 :rule cong :premises (@p1200) :args (@t508)) % 45.44/45.78 (step @p1228 :rule trans :premises (@p1227 @p1226)) % 45.44/45.78 (step @p1229 :rule arith-elim-leq :args (@t234 @t245)) % 45.44/45.78 (step @p1230 :rule symm :premises (@p1229)) % 45.44/45.78 (step @p1231 :rule cong :premises (@p1230) :args ((not (>= @t245 @t234)))) % 45.44/45.78 (step @p1232 :rule arith-elim-gt :args (@t234 @t245)) % 45.44/45.78 (step @p1233 :rule trans :premises (@p1232 @p1231)) % 45.44/45.78 (step @p1234 :rule trans :premises (@p1233 @p1228)) % 45.44/45.78 (step @p1235 :rule symm :premises (@p1234)) % 45.44/45.78 (step @p1236 :rule trans :premises (@p1228 @p1235)) % 45.44/45.78 (step @p1237 :rule eq_resolve :premises (@p1738 @p1236)) % 45.44/45.78 (step @p448 :rule evaluate :args (@t332)) % 45.44/45.78 (step @p449 :rule true_elim :premises (@p448)) % 45.44/45.78 (step @p1238 :rule and_intro :premises (@p449 @p1237)) % 45.44/45.78 (step @p1239 :rule modus_ponens :premises (@p1238 @p1225)) % 45.44/45.78 (step @p1240 :rule arith_sum_ub :premises (@p1239 @p1224)) % 45.44/45.78 (step @p1241 false :rule eq_resolve :premises (@p1240 @p1218)) % 45.44/45.78 (step-pop @p1740 :rule scope :premises (@p1241)) % 45.44/45.78 (step-pop @p1741 :rule scope :premises (@p1740)) % 45.44/45.78 (step @p1242 :rule process_scope :premises (@p1741) :args (false)) % 45.44/45.78 (step @p1245 :rule not_and :premises (@p1242)) % 45.44/45.78 (step @p1246 :rule eq_resolve :premises (@p1245 @p1208)) % 45.44/45.78 (step @p1247 :rule eq_resolve :premises (@p1246 @p1201)) % 45.44/45.78 (assume-push @p1742 @t514) % 45.44/45.78 (assume-push @p1743 @t249) % 45.44/45.78 (assume-push @p1744 @t272) % 45.44/45.78 (assume-push @p1745 @t356) % 45.44/45.78 (assume-push @p1746 @t467) % 45.44/45.78 (assume-push @p1747 @t478) % 45.44/45.78 (step @p563 :rule evaluate :args (@t359)) % 45.44/45.78 (step @p1254 :rule evaluate :args ((+ 0 0 -1 -1 0))) % 45.44/45.78 (step @p429 :rule evaluate :args (@t320)) % 45.44/45.78 (step @p1255 :rule nary_cong :premises (@p565 @p565 @p240 @p240 @p429) :args (@t515)) % 45.44/45.78 (step @p1256 :rule trans :premises (@p1255 @p1254)) % 45.44/45.78 (step @p1257 :rule arith_poly_norm :args ((= (+ 0 0 0 @t268 @t269 0) 0))) % 45.44/45.78 (step @p569 :rule arith_poly_norm :args (@t363)) % 45.44/45.78 (step @p570 :rule refl :args (@t269)) % 45.44/45.78 (step @p571 :rule refl :args (@t268)) % 45.44/45.78 (step @p964 :rule arith_poly_norm :args (@t471)) % 45.44/45.78 (step @p573 :rule arith_poly_norm :args (@t365)) % 45.44/45.78 (step @p967 :rule arith_poly_norm :args (@t473)) % 45.44/45.78 (step @p1258 :rule nary_cong :premises (@p967 @p573 @p964 @p571 @p570 @p569) :args (@t516)) % 45.44/45.78 (step @p1259 :rule trans :premises (@p1258 @p1257)) % 45.44/45.78 (step @p1260 :rule arith_poly_norm :args ((= @t518 @t516))) % 45.44/45.78 (step @p1261 :rule trans :premises (@p1260 @p1259)) % 45.44/45.78 (step @p1262 :rule cong :premises (@p1261 @p1256) :args ((<= @t518 @t515))) % 45.44/45.78 (step @p1263 :rule trans :premises (@p1262 @p563)) % 45.44/45.78 (step @p1264 :rule arith_mult_neg :args (-1 @t514)) % 45.44/45.78 (step @p448 :rule evaluate :args (@t332)) % 45.44/45.78 (step @p449 :rule true_elim :premises (@p448)) % 45.44/45.78 (step @p1265 :rule and_intro :premises (@p449 @p1742)) % 45.44/45.78 (step @p1266 :rule modus_ponens :premises (@p1265 @p1264)) % 45.44/45.78 (step @p591 :rule arith_mult_neg :args (-1 @t249)) % 45.44/45.78 (step @p592 :rule and_intro :premises (@p449 @p370)) % 45.44/45.78 (step @p593 :rule modus_ponens :premises (@p592 @p591)) % 45.44/45.78 (step @p581 :rule arith_mult_neg :args (-1 @t272)) % 45.44/45.78 (step @p582 :rule and_intro :premises (@p449 @p556)) % 45.44/45.78 (step @p583 :rule modus_ponens :premises (@p582 @p581)) % 45.44/45.78 (step @p598 :rule arith_poly_norm :args (@t375)) % 45.44/45.78 (step @p599 :rule arith_poly_norm_rel :premises (@p598) :args (@t376)) % 45.44/45.78 (step @p600 :rule symm :premises (@p599)) % 45.44/45.78 (step @p1267 :rule eq_resolve :premises (@p1745 @p600)) % 45.44/45.78 (step @p1268 :rule arith_sum_ub :premises (@p1747 @p1267 @p583 @p593 @p1266)) % 45.44/45.78 (step @p1269 false :rule eq_resolve :premises (@p1268 @p1263)) % 45.44/45.78 (step-pop @p1748 :rule scope :premises (@p1269)) % 45.44/45.78 (step @p1270 :rule process_scope :premises (@p1748) :args (false)) % 45.44/45.78 (step @p977 :rule arith_poly_norm :args (@t477)) % 45.44/45.78 (step @p978 :rule arith_poly_norm_rel :premises (@p977) :args (@t479)) % 45.44/45.78 (step @p979 :rule symm :premises (@p978)) % 45.44/45.78 (step @p1272 :rule eq_resolve :premises (@p1746 @p979)) % 45.44/45.78 (step @p1273 false :rule contra :premises (@p1272 @p1270)) % 45.44/45.78 (step-pop @p1749 :rule scope :premises (@p1273)) % 45.44/45.78 (step-pop @p1750 :rule scope :premises (@p1749)) % 45.44/45.78 (step-pop @p1751 :rule scope :premises (@p1750)) % 45.44/45.78 (step-pop @p1752 :rule scope :premises (@p1751)) % 45.44/45.78 (step-pop @p1753 :rule scope :premises (@p1752)) % 45.44/45.78 (step @p1274 :rule process_scope :premises (@p1753) :args (false)) % 45.44/45.78 (assume-push @p1754 @t272) % 45.44/45.78 (assume-push @p1755 @t249) % 45.44/45.78 (assume-push @p1756 @t378) % 45.44/45.78 (assume-push @p1757 @t380) % 45.44/45.78 (assume-push @p1758 @t354) % 45.44/45.78 (assume-push @p1759 @t465) % 45.44/45.78 (assume-push @p1760 @t458) % 45.44/45.78 (assume-push @p1761 @t514) % 45.44/45.78 (assume-push @p1762 @t458) % 45.44/45.78 (assume-push @p1763 @t465) % 45.44/45.78 (step @p1001 :rule trans :premises (@p1759 @p949)) % 45.44/45.78 (step @p1002 :rule cong :premises (@p1001) :args (@t247)) % 45.44/45.78 (step-pop @p1764 :rule scope :premises (@p1002)) % 45.44/45.78 (step-pop @p1765 :rule scope :premises (@p1764)) % 45.44/45.78 (step @p1290 :rule process_scope :premises (@p1765) :args (@t467)) % 45.44/45.78 (step @p1293 :rule and_intro :premises (@p949 @p1759)) % 45.44/45.78 (step @p1294 :rule modus_ponens :premises (@p1293 @p1290)) % 45.44/45.78 (assume-push @p1766 @t519) % 45.44/45.78 (step @p1296 :rule cong :premises (@p1766) :args (@t270)) % 45.44/45.78 (step-pop @p1767 :rule scope :premises (@p1296)) % 45.44/45.78 (step @p1297 :rule process_scope :premises (@p1767) :args (@t356)) % 45.44/45.78 (assume-push @p1768 @t354) % 45.44/45.78 (assume-push @p1769 @t520) % 45.44/45.78 (step @p1301 :rule symm :premises (@p1758)) % 45.44/45.78 (step @p1302 :rule trans :premises (@p1769 @p1301)) % 45.44/45.78 (step-pop @p1770 :rule scope :premises (@p1302)) % 45.44/45.78 (step-pop @p1771 :rule scope :premises (@p1770)) % 45.44/45.78 (step @p1303 :rule process_scope :premises (@p1771) :args (@t519)) % 45.44/45.78 (assume-push @p1772 @t381) % 45.44/45.78 (assume-push @p1773 @t380) % 45.44/45.78 (step @p1308 :rule symm :premises (@p1772)) % 45.44/45.78 (step @p620 :rule refl :args (@t240)) % 45.44/45.78 (step @p1309 :rule cong :premises (@p620 @p1308) :args (@t379)) % 45.44/45.78 (step @p1310 :rule trans :premises (@p557 @p1309)) % 45.44/45.78 (step-pop @p1774 :rule scope :premises (@p1310)) % 45.44/45.78 (step-pop @p1775 :rule scope :premises (@p1774)) % 45.44/45.78 (step @p1311 :rule process_scope :premises (@p1775) :args (@t520)) % 45.44/45.78 (step @p628 :rule arith_poly_norm :args (@t383)) % 45.44/45.78 (step @p629 :rule arith_poly_norm_rel :premises (@p628) :args (@t384)) % 45.44/45.78 (step @p630 :rule symm :premises (@p629)) % 45.44/45.78 (step @p1314 :rule eq_resolve :premises (@p1756 @p630)) % 45.44/45.78 (step @p1315 :rule and_intro :premises (@p1314 @p557)) % 45.44/45.78 (step @p1316 :rule modus_ponens :premises (@p1315 @p1311)) % 45.44/45.78 (step @p1317 :rule and_intro :premises (@p1758 @p1316)) % 45.44/45.78 (step @p1318 :rule modus_ponens :premises (@p1317 @p1303)) % 45.44/45.78 (step @p1319 :rule modus_ponens :premises (@p1318 @p1297)) % 45.44/45.78 (step @p1320 :rule and_intro :premises (@p1761 @p370 @p556 @p1319 @p1294)) % 45.44/45.78 (step-pop @p1776 :rule scope :premises (@p1320)) % 45.44/45.78 (step-pop @p1777 :rule scope :premises (@p1776)) % 45.44/45.78 (step-pop @p1778 :rule scope :premises (@p1777)) % 45.44/45.78 (step-pop @p1779 :rule scope :premises (@p1778)) % 45.44/45.78 (step-pop @p1780 :rule scope :premises (@p1779)) % 45.44/45.78 (step-pop @p1781 :rule scope :premises (@p1780)) % 45.44/45.78 (step-pop @p1782 :rule scope :premises (@p1781)) % 45.44/45.78 (step-pop @p1783 :rule scope :premises (@p1782)) % 45.44/45.78 (step @p1321 :rule process_scope :premises (@p1783) :args (@t521)) % 45.44/45.78 (step @p1330 :rule implies_elim :premises (@p1321)) % 45.44/45.78 (step @p1331 :rule resolution :premises (@p1330 @p1274) :args (true @t521)) % 45.44/45.78 (step @p1332 :rule not_and :premises (@p1331)) % 45.44/45.78 (step @p1333 :rule bool-double-not-elim :args (@t266)) % 45.44/45.78 (step @p1334 :rule nary_cong :premises (@p365 @p1333) :args ((or @t280 (not @t267)))) % 45.44/45.78 (step @p1335 :rule cnf_or_neg :args (@t280 3)) % 45.44/45.78 (step @p1336 :rule eq_resolve :premises (@p1335 @p1334)) % 45.44/45.78 (step @p1337 :rule reordering :premises (@p1336) :args ((or @t266 @t280))) % 45.44/45.78 (step @p1338 :rule chain_m_resolution :premises (@p1337 @p363) :args (@t266 @t289 @t290)) % 45.44/45.78 (step @p1339 :rule bool-double-not-elim :args (@t514)) % 45.44/45.78 (step @p1340 :rule arith_poly_norm :args ((= (* -1 (- 0 @t523)) (* -1 (- @t522 1))))) % 45.44/45.78 (step @p1341 :rule arith_poly_norm_rel :premises (@p1340) :args ((= (>= 0 @t523) (>= @t522 1)))) % 45.44/45.78 (step @p1342 :rule arith-geq-tighten :args (@t513 0)) % 45.44/45.78 (step @p1343 :rule trans :premises (@p1342 @p1341)) % 45.44/45.78 (step @p1344 :rule symm :premises (@p1343)) % 45.44/45.78 (step @p1345 :rule arith_poly_norm :args ((= @t524 @t522))) % 45.44/45.78 (step @p1346 :rule cong :premises (@p1345 @p396) :args (@t525)) % 45.44/45.78 (step @p1347 :rule trans :premises (@p1346 @p1344)) % 45.44/45.78 (step @p1348 :rule cong :premises (@p1347) :args (@t526)) % 45.44/45.78 (step @p1349 :rule trans :premises (@p1348 @p1339)) % 45.44/45.78 (step @p1226 :rule bool-double-not-elim :args (@t504)) % 45.44/45.78 (step @p1350 :rule arith_poly_norm :args ((= (* -1 (- 1 @t528)) (* -1 (- @t527 1))))) % 45.44/45.78 (step @p1351 :rule arith_poly_norm_rel :premises (@p1350) :args ((= (>= 1 @t528) (>= @t527 1)))) % 45.44/45.78 (step @p1352 :rule arith-geq-tighten :args (@t317 1)) % 45.44/45.78 (step @p1353 :rule trans :premises (@p1352 @p1351)) % 45.44/45.78 (step @p1354 :rule symm :premises (@p1353)) % 45.44/45.78 (step @p1355 :rule arith_poly_norm :args ((= (+ @t245 @t529) @t527))) % 45.44/45.78 (step @p1356 :rule arith_poly_norm :args ((= @t530 @t529))) % 45.44/45.78 (step @p436 :rule refl :args (@t245)) % 45.44/45.78 (step @p1357 :rule nary_cong :premises (@p436 @p1356) :args (@t531)) % 45.44/45.78 (step @p1358 :rule trans :premises (@p1357 @p1355)) % 45.44/45.78 (step @p1359 :rule cong :premises (@p1358 @p396) :args (@t532)) % 45.44/45.78 (step @p1360 :rule trans :premises (@p1359 @p1354)) % 45.44/45.78 (step @p1361 :rule cong :premises (@p1360) :args (@t533)) % 45.44/45.78 (step @p1362 :rule trans :premises (@p1361 @p1226)) % 45.44/45.78 (step @p1363 :rule arith_poly_norm :args ((= (* -1 (- @t235 0)) (* -1 (- @t234 1))))) % 45.44/45.78 (step @p1364 :rule arith_poly_norm_rel :premises (@p1363) :args ((= @t534 @t266))) % 45.44/45.78 (step @p1365 :rule cong :premises (@p1364) :args (@t535)) % 45.44/45.78 (step @p1366 :rule nary_cong :premises (@p337 @p336 @p1365 @p1362 @p403 @p1349) :args (@t536)) % 45.44/45.78 (step @p1367 :rule cong :premises (@p405 @p1366) :args ((=> @t277 @t536))) % 45.44/45.78 (assume-push @p1784 @t277) % 45.44/45.78 (step @p1369 :rule instantiate :premises (@p389) :args ((@list @t245 @t235))) % 45.44/45.78 (step-pop @p1785 :rule scope :premises (@p1369)) % 45.44/45.78 (step @p1370 :rule process_scope :premises (@p1785) :args (@t536)) % 45.44/45.78 (step @p1372 :rule eq_resolve :premises (@p1370 @p1367)) % 45.44/45.78 (step @p1373 :rule implies_elim :premises (@p1372)) % 45.44/45.78 (step @p1374 :rule chain_m_resolution :premises (@p1373 @p389) :args (@t537 @t309 @t310)) % 45.44/45.78 (step @p1375 :rule cnf_or_pos :args (@t537)) % 45.44/45.78 (step @p1376 :rule reordering :premises (@p1375) :args ((or @t267 @t263 @t261 @t305 @t504 @t514 (not @t537)))) % 45.44/45.78 (step @p1377 :rule chain_m_resolution :premises (@p1376 @p1374 @p921 @p923 @p929 @p1338 @p1332 @p953 @p949 @p557 @p370 @p556 @p1247 @p550 @p383 @p1193 @p921 @p946 @p419 @p1125 @p1104 @p1077) :args (@t395 (@list false true true false false true false false false false false true false false true true true false true true false) (@list @t537 @t305 @t261 @t262 @t266 @t514 @t465 @t458 @t380 @t249 @t272 @t504 @t354 @t355 @t494 @t305 @t252 @t255 @t340 @t404 @t312))) % 45.44/45.78 (step @p1378 :rule chain_m_resolution :premises (@p667 @p1377 @p665) :args (@t386 @t464 (@list @t378 @t391))) % 45.44/45.78 (step @p1379 :rule chain_m_resolution :premises (@p745 @p1378 @p1018) :args ((not @t354) (@list false true) (@list @t386 @t411))) % 45.44/45.78 (step @p1380 :rule chain_m_resolution :premises (@p550 @p1379 @p383) :args (@t340 @t464 (@list @t354 @t355))) % 45.44/45.78 (assume-push @p1786 @t465) % 45.44/45.78 (assume-push @p1787 @t458) % 45.44/45.78 (assume-push @p1788 @t458) % 45.44/45.78 (assume-push @p1789 @t465) % 45.44/45.78 (step @p1001 :rule trans :premises (@p1786 @p949)) % 45.44/45.78 (step @p1002 :rule cong :premises (@p1001) :args (@t247)) % 45.44/45.78 (step-pop @p1790 :rule scope :premises (@p1002)) % 45.44/45.78 (step-pop @p1791 :rule scope :premises (@p1790)) % 45.44/45.78 (step @p1385 :rule process_scope :premises (@p1791) :args (@t467)) % 45.44/45.78 (step @p1388 :rule and_intro :premises (@p949 @p1786)) % 45.44/45.78 (step @p1389 :rule modus_ponens :premises (@p1388 @p1385)) % 45.44/45.78 (step-pop @p1792 :rule scope :premises (@p1389)) % 45.44/45.78 (step-pop @p1793 :rule scope :premises (@p1792)) % 45.44/45.78 (step @p1390 :rule process_scope :premises (@p1793) :args (@t467)) % 45.44/45.78 (step @p1393 :rule implies_elim :premises (@p1390)) % 45.44/45.78 (step @p1394 :rule cnf_and_neg :args (@t538)) % 45.44/45.78 (step @p1395 :rule resolution :premises (@p1394 @p1393) :args (true @t538)) % 45.44/45.78 (step @p1396 :rule chain_m_resolution :premises (@p1395 @p953 @p949) :args (@t467 @t539 (@list @t465 @t458))) % 45.44/45.78 (step @p1397 :rule chain_m_resolution :premises (@p1125 @p1380) :args (@t314 @t309 (@list @t340))) % 45.44/45.78 (step @p1398 :rule arith_poly_norm :args ((= @t387 @t405))) % 45.44/45.78 (step @p1399 :rule arith_poly_norm_rel :premises (@p1398) :args ((= @t540 @t312))) % 45.44/45.78 (step @p1400 :rule arith_poly_norm :args ((= (* -2 (- @t234 @t541)) @t436))) % 45.44/45.78 (step @p1401 :rule arith_poly_norm_rel :premises (@p1400) :args ((= @t542 @t404))) % 45.44/45.78 (step @p1402 :rule cong :premises (@p1401) :args ((not @t542))) % 45.44/45.78 (step @p1403 :rule arith-leq-norm :args (@t234 @t377)) % 45.44/45.78 (step @p1404 :rule trans :premises (@p1403 @p1402)) % 45.44/45.78 (step @p1405 :rule nary_cong :premises (@p1404 @p1399) :args ((or @t543 @t540))) % 45.44/45.78 (step @p1406 :rule symm :premises (@p1405)) % 45.44/45.78 (step @p1407 :rule bool-double-not-elim :args (@t540)) % 45.44/45.78 (step @p1408 :rule trans :premises (@p1407 @p1399)) % 45.44/45.78 (step @p1409 :rule bool-double-not-elim :args (@t543)) % 45.44/45.78 (step @p1410 :rule trans :premises (@p1409 @p1404)) % 45.44/45.78 (step @p1411 :rule nary_cong :premises (@p1410 @p1408) :args ((or (not @t545) (not @t544)))) % 45.44/45.78 (step @p1412 :rule trans :premises (@p1411 @p1406)) % 45.44/45.78 (assume-push @p1794 @t545) % 45.44/45.78 (assume-push @p1795 @t544) % 45.44/45.78 (step @p427 :rule evaluate :args (@t319)) % 45.44/45.78 (step @p435 :rule arith_poly_norm :args (@t326)) % 45.44/45.78 (step @p1415 :rule arith_poly_norm :args ((= @t546 @t325))) % 45.44/45.78 (step @p1416 :rule trans :premises (@p1415 @p435)) % 45.44/45.78 (step @p1212 :rule arith_poly_norm :args (@t511)) % 45.44/45.78 (step @p1417 :rule cong :premises (@p1212 @p1416) :args (@t547)) % 45.44/45.78 (step @p1418 :rule trans :premises (@p1417 @p427)) % 45.44/45.78 (step @p1419 :rule cong :premises (@p1418) :args ((not @t547))) % 45.44/45.78 (step @p1420 :rule trans :premises (@p1419 @p54)) % 45.44/45.78 (step @p1421 :rule arith-elim-lt :args (@t510 @t546)) % 45.44/45.78 (step @p1422 :rule trans :premises (@p1421 @p1420)) % 45.44/45.78 (step @p1423 :rule cong :premises (@p1399) :args (@t544)) % 45.44/45.78 (step @p1424 :rule arith-elim-lt :args (@t234 @t377)) % 45.44/45.78 (step @p1425 :rule trans :premises (@p1424 @p1423)) % 45.44/45.78 (step @p1426 :rule symm :premises (@p1425)) % 45.44/45.78 (step @p1427 :rule trans :premises (@p1423 @p1426)) % 45.44/45.78 (step @p1428 :rule eq_resolve :premises (@p1795 @p1427)) % 45.44/45.78 (step @p1429 :rule arith_mult_neg :args (-1 (> @t234 @t377))) % 45.44/45.78 (step @p1430 :rule cong :premises (@p1404) :args (@t545)) % 45.44/45.78 (step @p1431 :rule trans :premises (@p1430 @p1127)) % 45.44/45.78 (step @p1432 :rule arith-elim-leq :args (@t234 @t377)) % 45.44/45.78 (step @p1433 :rule symm :premises (@p1432)) % 45.44/45.78 (step @p1434 :rule cong :premises (@p1433) :args ((not (>= @t377 @t234)))) % 45.44/45.78 (step @p1435 :rule arith-elim-gt :args (@t234 @t377)) % 45.44/45.78 (step @p1436 :rule trans :premises (@p1435 @p1434)) % 45.44/45.78 (step @p1437 :rule trans :premises (@p1436 @p1431)) % 45.44/45.78 (step @p1438 :rule symm :premises (@p1437)) % 45.44/45.78 (step @p1439 :rule trans :premises (@p1431 @p1438)) % 45.44/45.78 (step @p1440 :rule eq_resolve :premises (@p1794 @p1439)) % 45.44/45.78 (step @p448 :rule evaluate :args (@t332)) % 45.44/45.78 (step @p449 :rule true_elim :premises (@p448)) % 45.44/45.78 (step @p1441 :rule and_intro :premises (@p449 @p1440)) % 45.44/45.78 (step @p1442 :rule modus_ponens :premises (@p1441 @p1429)) % 45.44/45.78 (step @p1443 :rule arith_sum_ub :premises (@p1442 @p1428)) % 45.44/45.78 (step @p1444 false :rule eq_resolve :premises (@p1443 @p1422)) % 45.44/45.78 (step-pop @p1796 :rule scope :premises (@p1444)) % 45.44/45.78 (step-pop @p1797 :rule scope :premises (@p1796)) % 45.44/45.78 (step @p1445 :rule process_scope :premises (@p1797) :args (false)) % 45.44/45.78 (step @p1448 :rule not_and :premises (@p1445)) % 45.44/45.78 (step @p1449 :rule eq_resolve :premises (@p1448 @p1412)) % 45.44/45.78 (step @p1450 :rule eq_resolve :premises (@p1449 @p1405)) % 45.44/45.78 (step @p1451 :rule chain_m_resolution :premises (@p1450 @p1397) :args (@t431 @t289 (@list @t312))) % 45.44/45.78 (step @p1452 :rule chain_m_resolution :premises (@p1193 @p419 @p946 @p921 @p1451) :args (@t495 (@list false true true true) (@list @t255 @t252 @t305 @t404))) % 45.44/45.78 (step @p1453 :rule chain_m_resolution :premises (@p1247 @p1452) :args ((not @t504) @t289 (@list @t494))) % 45.44/45.78 (step @p1454 :rule chain_m_resolution :premises (@p1376 @p1338 @p929 @p923 @p921 @p1453 @p1374) :args (@t514 (@list false false true true true false) (@list @t266 @t262 @t261 @t305 @t504 @t537))) % 45.44/45.78 (step @p1455 :rule bool-double-not-elim :args (@t548)) % 45.44/45.78 (step @p1456 :rule refl :args (@t549)) % 45.44/45.78 (step @p1457 :rule refl :args (@t550)) % 45.44/45.78 (step @p1458 :rule nary_cong :premises (@p1457 @p1456 @p1455) :args ((or @t550 @t549 (not @t551)))) % 45.44/45.78 (assume-push @p1798 @t467) % 45.44/45.78 (assume-push @p1799 @t514) % 45.44/45.78 (assume-push @p1800 @t551) % 45.44/45.78 (step @p427 :rule evaluate :args (@t319)) % 45.44/45.78 (step @p1462 :rule evaluate :args ((+ 0 0 0))) % 45.44/45.78 (step @p429 :rule evaluate :args (@t320)) % 45.44/45.78 (step @p1463 :rule nary_cong :premises (@p565 @p565 @p429) :args (@t552)) % 45.44/45.78 (step @p1464 :rule trans :premises (@p1463 @p1462)) % 45.44/45.78 (step @p1465 :rule arith_poly_norm :args ((= (+ 0 @t361 @t247 0) 0))) % 45.44/45.78 (step @p780 :rule arith_poly_norm :args (@t421)) % 45.44/45.78 (step @p574 :rule refl :args (@t247)) % 45.44/45.78 (step @p572 :rule refl :args (@t361)) % 45.44/45.78 (step @p967 :rule arith_poly_norm :args (@t473)) % 45.44/45.78 (step @p1466 :rule nary_cong :premises (@p967 @p572 @p574 @p780) :args (@t553)) % 45.44/45.78 (step @p1467 :rule trans :premises (@p1466 @p1465)) % 45.44/45.78 (step @p1468 :rule arith_poly_norm :args ((= @t554 @t553))) % 45.44/45.78 (step @p1469 :rule trans :premises (@p1468 @p1467)) % 45.44/45.78 (step @p1470 :rule cong :premises (@p1469 @p1464) :args (@t555)) % 45.44/45.78 (step @p1471 :rule trans :premises (@p1470 @p427)) % 45.44/45.78 (step @p1472 :rule cong :premises (@p1471) :args ((not @t555))) % 45.44/45.78 (step @p1473 :rule trans :premises (@p1472 @p54)) % 45.44/45.78 (step @p1474 :rule arith-elim-lt :args (@t554 @t552)) % 45.44/45.78 (step @p1475 :rule trans :premises (@p1474 @p1473)) % 45.44/45.78 (step @p1264 :rule arith_mult_neg :args (-1 @t514)) % 45.44/45.78 (step @p448 :rule evaluate :args (@t332)) % 45.44/45.78 (step @p449 :rule true_elim :premises (@p448)) % 45.44/45.78 (step @p1476 :rule and_intro :premises (@p449 @p1799)) % 45.44/45.78 (step @p1477 :rule modus_ponens :premises (@p1476 @p1264)) % 45.44/45.78 (step @p977 :rule arith_poly_norm :args (@t477)) % 45.44/45.78 (step @p978 :rule arith_poly_norm_rel :premises (@p977) :args (@t479)) % 45.44/45.78 (step @p979 :rule symm :premises (@p978)) % 45.44/45.78 (step @p1478 :rule eq_resolve :premises (@p1798 @p979)) % 45.44/45.78 (step @p1479 :rule arith-elim-lt :args (@t368 0)) % 45.44/45.78 (step @p1480 :rule symm :premises (@p1479)) % 45.44/45.78 (step @p1481 :rule eq_resolve :premises (@p1800 @p1480)) % 45.44/45.78 (step @p1482 :rule arith_sum_ub :premises (@p1481 @p1478 @p1477)) % 45.44/45.78 (step @p1483 false :rule eq_resolve :premises (@p1482 @p1475)) % 45.44/45.78 (step-pop @p1801 :rule scope :premises (@p1483)) % 45.44/45.78 (step-pop @p1802 :rule scope :premises (@p1801)) % 45.44/45.78 (step-pop @p1803 :rule scope :premises (@p1802)) % 45.44/45.78 (step @p1484 :rule process_scope :premises (@p1803) :args (false)) % 45.44/45.78 (step @p1488 :rule not_and :premises (@p1484)) % 45.44/45.78 (step @p1489 :rule eq_resolve :premises (@p1488 @p1458)) % 45.44/45.78 (step @p1490 :rule reordering :premises (@p1489) :args ((or @t549 @t550 @t548))) % 45.44/45.78 (step @p1491 :rule chain_m_resolution :premises (@p1490 @p1454 @p1396) :args (@t548 @t539 (@list @t514 @t467))) % 45.44/45.78 (assume-push @p1804 @t556) % 45.44/45.78 (assume-push @p1805 @t249) % 45.44/45.78 (assume-push @p1806 @t548) % 45.44/45.78 (step @p1479 :rule arith-elim-lt :args (@t368 0)) % 45.44/45.78 (step @p1480 :rule symm :premises (@p1479)) % 45.44/45.78 (assume-push @p1807 @t548) % 45.44/45.78 (step @p959 :rule evaluate :args (@t468)) % 45.44/45.78 (step @p1496 :rule evaluate :args ((+ 0 -1 0))) % 45.44/45.78 (step @p429 :rule evaluate :args (@t320)) % 45.44/45.78 (step @p1497 :rule nary_cong :premises (@p429 @p240 @p565) :args (@t557)) % 45.44/45.78 (step @p1498 :rule trans :premises (@p1497 @p1496)) % 45.44/45.78 (step @p1499 :rule arith_poly_norm :args ((= (+ @t247 0 @t361 0) 0))) % 45.44/45.78 (step @p780 :rule arith_poly_norm :args (@t421)) % 45.44/45.78 (step @p572 :rule refl :args (@t361)) % 45.44/45.78 (step @p573 :rule arith_poly_norm :args (@t365)) % 45.44/45.78 (step @p574 :rule refl :args (@t247)) % 45.44/45.78 (step @p1500 :rule nary_cong :premises (@p574 @p573 @p572 @p780) :args (@t558)) % 45.44/45.78 (step @p1501 :rule trans :premises (@p1500 @p1499)) % 45.44/45.78 (step @p1502 :rule arith_poly_norm :args ((= @t560 @t558))) % 45.44/45.78 (step @p1503 :rule trans :premises (@p1502 @p1501)) % 45.44/45.78 (step @p1504 :rule cong :premises (@p1503 @p1498) :args ((<= @t560 @t557))) % 45.44/45.78 (step @p1505 :rule trans :premises (@p1504 @p959)) % 45.44/45.78 (step @p1506 :rule arith_poly_norm :args ((= (* 1 (- @t559 0)) (* 1 (- @t268 @t243))))) % 45.44/45.78 (step @p1507 :rule arith_poly_norm_rel :premises (@p1506) :args ((= (= @t559 0) @t556))) % 45.44/45.78 (step @p1508 :rule symm :premises (@p1507)) % 45.44/45.78 (step @p1509 :rule eq_resolve :premises (@p1804 @p1508)) % 45.44/45.78 (step @p591 :rule arith_mult_neg :args (-1 @t249)) % 45.44/45.78 (step @p448 :rule evaluate :args (@t332)) % 45.44/45.78 (step @p449 :rule true_elim :premises (@p448)) % 45.44/45.78 (step @p592 :rule and_intro :premises (@p449 @p370)) % 45.44/45.78 (step @p593 :rule modus_ponens :premises (@p592 @p591)) % 45.44/45.78 (step @p1510 :rule arith_mult_neg :args (-1 @t548)) % 45.44/45.78 (step @p1511 :rule and_intro :premises (@p449 @p1806)) % 45.44/45.78 (step @p1512 :rule modus_ponens :premises (@p1511 @p1510)) % 45.44/45.78 (step @p1513 :rule arith_sum_ub :premises (@p1512 @p593 @p1509)) % 45.44/45.78 (step @p1514 false :rule eq_resolve :premises (@p1513 @p1505)) % 45.44/45.78 (step-pop @p1808 :rule scope :premises (@p1514)) % 45.44/45.78 (step @p1515 :rule process_scope :premises (@p1808) :args (false)) % 45.44/45.78 (step @p1517 :rule eq_resolve :premises (@p1515 @p1480)) % 45.44/45.78 (step @p1518 :rule eq_resolve :premises (@p1517 @p1479)) % 45.44/45.78 (step @p1519 false :rule contra :premises (@p1806 @p1518)) % 45.44/45.78 (step-pop @p1809 :rule scope :premises (@p1519)) % 45.44/45.78 (step-pop @p1810 :rule scope :premises (@p1809)) % 45.44/45.78 (step-pop @p1811 :rule scope :premises (@p1810)) % 45.44/45.78 (step @p1520 :rule process_scope :premises (@p1811) :args (false)) % 45.44/45.78 (assume-push @p1812 @t249) % 45.44/45.78 (assume-push @p1813 @t340) % 45.44/45.78 (assume-push @p1814 @t350) % 45.44/45.78 (assume-push @p1815 @t548) % 45.44/45.78 (assume-push @p1816 @t340) % 45.44/45.78 (assume-push @p1817 @t350) % 45.44/45.78 (step @p534 :rule refl :args (@t241)) % 45.44/45.78 (step @p1530 :rule cong :premises (@p534 @p1813) :args (@t349)) % 45.44/45.78 (step @p1531 :rule trans :premises (@p375 @p1530)) % 45.44/45.78 (step @p1532 :rule cong :premises (@p1531) :args (@t268)) % 45.44/45.78 (step-pop @p1818 :rule scope :premises (@p1532)) % 45.44/45.78 (step-pop @p1819 :rule scope :premises (@p1818)) % 45.44/45.78 (step @p1533 :rule process_scope :premises (@p1819) :args (@t556)) % 45.44/45.78 (step @p1536 :rule and_intro :premises (@p1813 @p375)) % 45.44/45.78 (step @p1537 :rule modus_ponens :premises (@p1536 @p1533)) % 45.44/45.78 (step @p1538 :rule and_intro :premises (@p1537 @p370 @p1815)) % 45.44/45.78 (step-pop @p1820 :rule scope :premises (@p1538)) % 45.44/45.78 (step-pop @p1821 :rule scope :premises (@p1820)) % 45.44/45.78 (step-pop @p1822 :rule scope :premises (@p1821)) % 45.44/45.78 (step-pop @p1823 :rule scope :premises (@p1822)) % 45.44/45.78 (step @p1539 :rule process_scope :premises (@p1823) :args (@t561)) % 45.44/45.78 (step @p1544 :rule implies_elim :premises (@p1539)) % 45.44/45.78 (step @p1545 :rule resolution :premises (@p1544 @p1520) :args (true @t561)) % 45.44/45.78 (step @p1546 :rule not_and :premises (@p1545)) % 45.44/45.78 (step @p1547 false :rule chain_m_resolution :premises (@p1546 @p1491 @p1380 @p375 @p370) :args (false @t481 (@list @t548 @t340 @t350 @t249))) % 45.44/45.78 ) % 45.44/45.78 % SZS output end Proof % 45.44/45.78 % cvc5 exiting %------------------------------------------------------------------------------