cvc5---1.3.4.THM-Prf.s

%------------------------------------------------------------------------------
% File     : cvc5---1.3.4
% Problem  : LCL644+1.010 : TPTP v9.3.1. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM

% Computer : n004.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8046.5625MB
% OS       : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Mon Sep  7 11:23:15 AM UTC 2026

% Result   : Theorem 0.32s 0.99s
% Output   : Proof 0.32s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04  % Problem  : LCL644+1.010 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.07  % Command  : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.16/0.43  % Computer : n004.cluster.edu
% 0.16/0.43  % Model    : x86_64 x86_64
% 0.16/0.43  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.43  % Memory   : 8046.5625MB
% 0.16/0.43  % OS       : Linux 6.8.0-71-generic
% 0.16/0.43  % CPULimit : 300
% 0.16/0.43  % WCLimit  : 300
% 0.16/0.43  % DateTime : Fri Sep  4 13:07:29 UTC 2026
% 0.16/0.43  % CPUTime  : 
% 0.23/0.57  %----Proving TF0_NAR, FOF, or CNF
% 0.32/0.99  --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15...
% 0.32/0.99  % SZS status Theorem
% 0.32/0.99  % SZS output start Proof
% 0.32/0.99  (
% 0.32/0.99  (declare-sort $$unsorted 0)
% 0.32/0.99  (declare-const tptp.p11 (-> $$unsorted Bool))
% 0.32/0.99  (declare-const tptp.p9 (-> $$unsorted Bool))
% 0.32/0.99  (declare-const tptp.p8 (-> $$unsorted Bool))
% 0.32/0.99  (declare-const tptp.p7 (-> $$unsorted Bool))
% 0.32/0.99  (declare-const tptp.p6 (-> $$unsorted Bool))
% 0.32/0.99  (declare-const tptp.p5 (-> $$unsorted Bool))
% 0.32/0.99  (declare-const tptp.p10 (-> $$unsorted Bool))
% 0.32/0.99  (declare-const tptp.p4 (-> $$unsorted Bool))
% 0.32/0.99  (declare-const tptp.p3 (-> $$unsorted Bool))
% 0.32/0.99  (declare-const tptp.p2 (-> $$unsorted Bool))
% 0.32/0.99  (declare-const tptp.r1 (-> $$unsorted $$unsorted Bool))
% 0.32/0.99  (declare-const tptp.p1 (-> $$unsorted Bool))
% 0.32/0.99  (define @t1 () (@var "Y" $$unsorted))
% 0.32/0.99  (define @t2 () (tptp.p1 @t1))
% 0.32/0.99  (define @t3 () (@var "X" $$unsorted))
% 0.32/0.99  (define @t4 () (tptp.p1 @t3))
% 0.32/0.99  (define @t5 () (not (tptp.r1 @t1 @t3)))
% 0.32/0.99  (define @t6 () (@list @t3))
% 0.32/0.99  (define @t7 () (forall @t6 (or @t5 @t4)))
% 0.32/0.99  (define @t8 () (not (and @t2 @t7 @t2)))
% 0.32/0.99  (define @t9 () (tptp.p2 @t1))
% 0.32/0.99  (define @t10 () (tptp.p2 @t3))
% 0.32/0.99  (define @t11 () (forall @t6 (or @t5 @t10)))
% 0.32/0.99  (define @t12 () (not (and @t9 @t11)))
% 0.32/0.99  (define @t13 () (not (tptp.r1 @t3 @t1)))
% 0.32/0.99  (define @t14 () (or @t13 @t12 @t2 @t9 @t8))
% 0.32/0.99  (define @t15 () (@list @t1))
% 0.32/0.99  (define @t16 () (forall @t15 @t14))
% 0.32/0.99  (define @t17 () (forall @t15 (or @t13 @t2)))
% 0.32/0.99  (define @t18 () (or @t5 @t10 (not (and @t4 @t17 @t4))))
% 0.32/0.99  (define @t19 () (forall @t6 @t18))
% 0.32/0.99  (define @t20 () (or @t13 @t12 @t2 @t19))
% 0.32/0.99  (define @t21 () (forall @t15 @t20))
% 0.32/0.99  (define @t22 () (@var "Y" $$unsorted))
% 0.32/0.99  (define @t23 () (tptp.p2 @t22))
% 0.32/0.99  (define @t24 () (@list @t22))
% 0.32/0.99  (define @t25 () (forall @t24 (or (not (tptp.r1 @t3 @t22)) @t23)))
% 0.32/0.99  (define @t26 () (or @t5 (not (and @t10 @t25)) @t4))
% 0.32/0.99  (define @t27 () (forall @t6 @t26))
% 0.32/0.99  (define @t28 () (or @t13 @t27 @t9 @t8))
% 0.32/0.99  (define @t29 () (forall @t15 @t28))
% 0.32/0.99  (define @t30 () (and @t29 @t21 @t16))
% 0.32/0.99  (define @t31 () (not @t30))
% 0.32/0.99  (define @t32 () (or @t13 @t9 @t8))
% 0.32/0.99  (define @t33 () (forall @t15 @t32))
% 0.32/0.99  (define @t34 () (or @t13 @t12 @t2))
% 0.32/0.99  (define @t35 () (forall @t15 @t34))
% 0.32/0.99  (define @t36 () (or @t35 @t33 @t31))
% 0.32/0.99  (define @t37 () (not @t36))
% 0.32/0.99  (define @t38 () (not (and @t9 @t11 @t9)))
% 0.32/0.99  (define @t39 () (tptp.p3 @t1))
% 0.32/0.99  (define @t40 () (tptp.p3 @t3))
% 0.32/0.99  (define @t41 () (forall @t6 (or @t5 @t40)))
% 0.32/0.99  (define @t42 () (not (and @t39 @t41)))
% 0.32/0.99  (define @t43 () (or @t13 @t42 @t9 @t39 @t38))
% 0.32/0.99  (define @t44 () (forall @t15 @t43))
% 0.32/0.99  (define @t45 () (forall @t15 (or @t13 @t9)))
% 0.32/0.99  (define @t46 () (or @t5 @t40 (not (and @t10 @t45 @t10))))
% 0.32/0.99  (define @t47 () (forall @t6 @t46))
% 0.32/0.99  (define @t48 () (or @t13 @t42 @t9 @t47))
% 0.32/0.99  (define @t49 () (forall @t15 @t48))
% 0.32/0.99  (define @t50 () (@var "Y" $$unsorted))
% 0.32/0.99  (define @t51 () (tptp.p3 @t50))
% 0.32/0.99  (define @t52 () (@list @t50))
% 0.32/0.99  (define @t53 () (forall @t52 (or (not (tptp.r1 @t3 @t50)) @t51)))
% 0.32/0.99  (define @t54 () (or @t5 (not (and @t40 @t53)) @t10))
% 0.32/0.99  (define @t55 () (forall @t6 @t54))
% 0.32/0.99  (define @t56 () (or @t13 @t55 @t39 @t38))
% 0.32/0.99  (define @t57 () (forall @t15 @t56))
% 0.32/0.99  (define @t58 () (and @t57 @t49 @t44))
% 0.32/0.99  (define @t59 () (not @t58))
% 0.32/0.99  (define @t60 () (or @t13 @t39 @t38))
% 0.32/0.99  (define @t61 () (forall @t15 @t60))
% 0.32/0.99  (define @t62 () (or @t13 @t42 @t9))
% 0.32/0.99  (define @t63 () (forall @t15 @t62))
% 0.32/0.99  (define @t64 () (or @t63 @t61 @t59))
% 0.32/0.99  (define @t65 () (not @t64))
% 0.32/0.99  (define @t66 () (not (and @t39 @t41 @t39)))
% 0.32/0.99  (define @t67 () (tptp.p4 @t1))
% 0.32/0.99  (define @t68 () (tptp.p4 @t3))
% 0.32/0.99  (define @t69 () (forall @t6 (or @t5 @t68)))
% 0.32/0.99  (define @t70 () (not (and @t67 @t69)))
% 0.32/0.99  (define @t71 () (or @t13 @t70 @t39 @t67 @t66))
% 0.32/0.99  (define @t72 () (forall @t15 @t71))
% 0.32/0.99  (define @t73 () (forall @t15 (or @t13 @t39)))
% 0.32/0.99  (define @t74 () (or @t5 @t68 (not (and @t40 @t73 @t40))))
% 0.32/0.99  (define @t75 () (forall @t6 @t74))
% 0.32/0.99  (define @t76 () (or @t13 @t70 @t39 @t75))
% 0.32/0.99  (define @t77 () (forall @t15 @t76))
% 0.32/0.99  (define @t78 () (@var "Y" $$unsorted))
% 0.32/0.99  (define @t79 () (tptp.p4 @t78))
% 0.32/0.99  (define @t80 () (@list @t78))
% 0.32/0.99  (define @t81 () (forall @t80 (or (not (tptp.r1 @t3 @t78)) @t79)))
% 0.32/0.99  (define @t82 () (or @t5 (not (and @t68 @t81)) @t40))
% 0.32/0.99  (define @t83 () (forall @t6 @t82))
% 0.32/0.99  (define @t84 () (or @t13 @t83 @t67 @t66))
% 0.32/0.99  (define @t85 () (forall @t15 @t84))
% 0.32/0.99  (define @t86 () (and @t85 @t77 @t72))
% 0.32/0.99  (define @t87 () (not @t86))
% 0.32/0.99  (define @t88 () (or @t13 @t67 @t66))
% 0.32/0.99  (define @t89 () (forall @t15 @t88))
% 0.32/0.99  (define @t90 () (or @t13 @t70 @t39))
% 0.32/0.99  (define @t91 () (forall @t15 @t90))
% 0.32/0.99  (define @t92 () (or @t91 @t89 @t87))
% 0.32/0.99  (define @t93 () (not @t92))
% 0.32/0.99  (define @t94 () (tptp.p10 @t1))
% 0.32/0.99  (define @t95 () (tptp.p10 @t3))
% 0.32/0.99  (define @t96 () (forall @t6 (or @t5 @t95)))
% 0.32/0.99  (define @t97 () (not (and @t96 @t94)))
% 0.32/0.99  (define @t98 () (or @t13 @t94 @t97))
% 0.32/0.99  (define @t99 () (forall @t15 @t98))
% 0.32/0.99  (define @t100 () (not (and @t67 @t69 @t67)))
% 0.32/0.99  (define @t101 () (tptp.p5 @t1))
% 0.32/0.99  (define @t102 () (tptp.p5 @t3))
% 0.32/0.99  (define @t103 () (forall @t6 (or @t5 @t102)))
% 0.32/0.99  (define @t104 () (not (and @t101 @t103)))
% 0.32/0.99  (define @t105 () (or @t13 @t104 @t67 @t101 @t100))
% 0.32/0.99  (define @t106 () (forall @t15 @t105))
% 0.32/0.99  (define @t107 () (forall @t15 (or @t13 @t67)))
% 0.32/0.99  (define @t108 () (or @t5 @t102 (not (and @t68 @t107 @t68))))
% 0.32/0.99  (define @t109 () (forall @t6 @t108))
% 0.32/0.99  (define @t110 () (or @t13 @t104 @t67 @t109))
% 0.32/0.99  (define @t111 () (forall @t15 @t110))
% 0.32/0.99  (define @t112 () (@var "Y" $$unsorted))
% 0.32/0.99  (define @t113 () (tptp.p5 @t112))
% 0.32/0.99  (define @t114 () (@list @t112))
% 0.32/0.99  (define @t115 () (forall @t114 (or (not (tptp.r1 @t3 @t112)) @t113)))
% 0.32/0.99  (define @t116 () (or @t5 (not (and @t102 @t115)) @t68))
% 0.32/0.99  (define @t117 () (forall @t6 @t116))
% 0.32/0.99  (define @t118 () (or @t13 @t117 @t101 @t100))
% 0.32/0.99  (define @t119 () (forall @t15 @t118))
% 0.32/0.99  (define @t120 () (and @t119 @t111 @t106))
% 0.32/0.99  (define @t121 () (not @t120))
% 0.32/0.99  (define @t122 () (or @t13 @t101 @t100))
% 0.32/0.99  (define @t123 () (forall @t15 @t122))
% 0.32/0.99  (define @t124 () (or @t13 @t104 @t67))
% 0.32/0.99  (define @t125 () (forall @t15 @t124))
% 0.32/0.99  (define @t126 () (or @t125 @t123 @t121))
% 0.32/0.99  (define @t127 () (not @t126))
% 0.32/0.99  (define @t128 () (not (and @t101 @t103 @t101)))
% 0.32/0.99  (define @t129 () (tptp.p6 @t1))
% 0.32/0.99  (define @t130 () (tptp.p6 @t3))
% 0.32/0.99  (define @t131 () (forall @t6 (or @t5 @t130)))
% 0.32/0.99  (define @t132 () (not (and @t129 @t131)))
% 0.32/0.99  (define @t133 () (or @t13 @t132 @t101 @t129 @t128))
% 0.32/0.99  (define @t134 () (forall @t15 @t133))
% 0.32/0.99  (define @t135 () (forall @t15 (or @t13 @t101)))
% 0.32/0.99  (define @t136 () (or @t5 @t130 (not (and @t102 @t135 @t102))))
% 0.32/0.99  (define @t137 () (forall @t6 @t136))
% 0.32/0.99  (define @t138 () (or @t13 @t132 @t101 @t137))
% 0.32/0.99  (define @t139 () (forall @t15 @t138))
% 0.32/0.99  (define @t140 () (@var "Y" $$unsorted))
% 0.32/0.99  (define @t141 () (tptp.p6 @t140))
% 0.32/0.99  (define @t142 () (@list @t140))
% 0.32/0.99  (define @t143 () (forall @t142 (or (not (tptp.r1 @t3 @t140)) @t141)))
% 0.32/0.99  (define @t144 () (or @t5 (not (and @t130 @t143)) @t102))
% 0.32/0.99  (define @t145 () (forall @t6 @t144))
% 0.32/0.99  (define @t146 () (or @t13 @t145 @t129 @t128))
% 0.32/0.99  (define @t147 () (forall @t15 @t146))
% 0.32/0.99  (define @t148 () (and @t147 @t139 @t134))
% 0.32/0.99  (define @t149 () (not @t148))
% 0.32/0.99  (define @t150 () (or @t13 @t129 @t128))
% 0.32/0.99  (define @t151 () (forall @t15 @t150))
% 0.32/0.99  (define @t152 () (or @t13 @t132 @t101))
% 0.32/0.99  (define @t153 () (forall @t15 @t152))
% 0.32/0.99  (define @t154 () (or @t153 @t151 @t149))
% 0.32/0.99  (define @t155 () (not @t154))
% 0.32/0.99  (define @t156 () (not (and @t129 @t131 @t129)))
% 0.32/0.99  (define @t157 () (tptp.p7 @t1))
% 0.32/0.99  (define @t158 () (tptp.p7 @t3))
% 0.32/0.99  (define @t159 () (forall @t6 (or @t5 @t158)))
% 0.32/0.99  (define @t160 () (not (and @t157 @t159)))
% 0.32/0.99  (define @t161 () (or @t13 @t160 @t129 @t157 @t156))
% 0.32/0.99  (define @t162 () (forall @t15 @t161))
% 0.32/0.99  (define @t163 () (forall @t15 (or @t13 @t129)))
% 0.32/0.99  (define @t164 () (or @t5 @t158 (not (and @t130 @t163 @t130))))
% 0.32/0.99  (define @t165 () (forall @t6 @t164))
% 0.32/0.99  (define @t166 () (or @t13 @t160 @t129 @t165))
% 0.32/0.99  (define @t167 () (forall @t15 @t166))
% 0.32/0.99  (define @t168 () (@var "Y" $$unsorted))
% 0.32/0.99  (define @t169 () (tptp.p7 @t168))
% 0.32/0.99  (define @t170 () (@list @t168))
% 0.32/0.99  (define @t171 () (forall @t170 (or (not (tptp.r1 @t3 @t168)) @t169)))
% 0.32/0.99  (define @t172 () (or @t5 (not (and @t158 @t171)) @t130))
% 0.32/0.99  (define @t173 () (forall @t6 @t172))
% 0.32/0.99  (define @t174 () (or @t13 @t173 @t157 @t156))
% 0.32/0.99  (define @t175 () (forall @t15 @t174))
% 0.32/0.99  (define @t176 () (and @t175 @t167 @t162))
% 0.32/0.99  (define @t177 () (not @t176))
% 0.32/0.99  (define @t178 () (or @t13 @t157 @t156))
% 0.32/0.99  (define @t179 () (forall @t15 @t178))
% 0.32/0.99  (define @t180 () (or @t13 @t160 @t129))
% 0.32/0.99  (define @t181 () (forall @t15 @t180))
% 0.32/0.99  (define @t182 () (or @t181 @t179 @t177))
% 0.32/0.99  (define @t183 () (not @t182))
% 0.32/0.99  (define @t184 () (not (and @t157 @t159 @t157)))
% 0.32/0.99  (define @t185 () (tptp.p8 @t1))
% 0.32/0.99  (define @t186 () (tptp.p8 @t3))
% 0.32/0.99  (define @t187 () (forall @t6 (or @t5 @t186)))
% 0.32/0.99  (define @t188 () (not (and @t185 @t187)))
% 0.32/0.99  (define @t189 () (or @t13 @t188 @t157 @t185 @t184))
% 0.32/0.99  (define @t190 () (forall @t15 @t189))
% 0.32/0.99  (define @t191 () (forall @t15 (or @t13 @t157)))
% 0.32/0.99  (define @t192 () (or @t5 @t186 (not (and @t158 @t191 @t158))))
% 0.32/0.99  (define @t193 () (forall @t6 @t192))
% 0.32/0.99  (define @t194 () (or @t13 @t188 @t157 @t193))
% 0.32/0.99  (define @t195 () (forall @t15 @t194))
% 0.32/0.99  (define @t196 () (@var "Y" $$unsorted))
% 0.32/0.99  (define @t197 () (tptp.p8 @t196))
% 0.32/0.99  (define @t198 () (@list @t196))
% 0.32/0.99  (define @t199 () (forall @t198 (or (not (tptp.r1 @t3 @t196)) @t197)))
% 0.32/0.99  (define @t200 () (or @t5 (not (and @t186 @t199)) @t158))
% 0.32/0.99  (define @t201 () (forall @t6 @t200))
% 0.32/0.99  (define @t202 () (or @t13 @t201 @t185 @t184))
% 0.32/0.99  (define @t203 () (forall @t15 @t202))
% 0.32/0.99  (define @t204 () (and @t203 @t195 @t190))
% 0.32/0.99  (define @t205 () (not @t204))
% 0.32/0.99  (define @t206 () (or @t13 @t185 @t184))
% 0.32/0.99  (define @t207 () (forall @t15 @t206))
% 0.32/0.99  (define @t208 () (or @t13 @t188 @t157))
% 0.32/0.99  (define @t209 () (forall @t15 @t208))
% 0.32/0.99  (define @t210 () (or @t209 @t207 @t205))
% 0.32/0.99  (define @t211 () (not @t210))
% 0.32/0.99  (define @t212 () (not (and @t185 @t187 @t185)))
% 0.32/0.99  (define @t213 () (tptp.p9 @t1))
% 0.32/0.99  (define @t214 () (tptp.p9 @t3))
% 0.32/0.99  (define @t215 () (forall @t6 (or @t5 @t214)))
% 0.32/0.99  (define @t216 () (not (and @t213 @t215)))
% 0.32/0.99  (define @t217 () (or @t13 @t216 @t185 @t213 @t212))
% 0.32/0.99  (define @t218 () (forall @t15 @t217))
% 0.32/0.99  (define @t219 () (forall @t15 (or @t13 @t185)))
% 0.32/0.99  (define @t220 () (or @t5 @t214 (not (and @t186 @t219 @t186))))
% 0.32/0.99  (define @t221 () (forall @t6 @t220))
% 0.32/0.99  (define @t222 () (or @t13 @t216 @t185 @t221))
% 0.32/0.99  (define @t223 () (forall @t15 @t222))
% 0.32/0.99  (define @t224 () (@var "Y" $$unsorted))
% 0.32/0.99  (define @t225 () (tptp.p9 @t224))
% 0.32/0.99  (define @t226 () (@list @t224))
% 0.32/0.99  (define @t227 () (forall @t226 (or (not (tptp.r1 @t3 @t224)) @t225)))
% 0.32/0.99  (define @t228 () (or @t5 (not (and @t214 @t227)) @t186))
% 0.32/0.99  (define @t229 () (forall @t6 @t228))
% 0.32/0.99  (define @t230 () (or @t13 @t229 @t213 @t212))
% 0.32/0.99  (define @t231 () (forall @t15 @t230))
% 0.32/0.99  (define @t232 () (and @t231 @t223 @t218))
% 0.32/0.99  (define @t233 () (not @t232))
% 0.32/0.99  (define @t234 () (or @t13 @t213 @t212))
% 0.32/0.99  (define @t235 () (forall @t15 @t234))
% 0.32/0.99  (define @t236 () (or @t13 @t216 @t185))
% 0.32/0.99  (define @t237 () (forall @t15 @t236))
% 0.32/0.99  (define @t238 () (or @t237 @t235 @t233))
% 0.32/0.99  (define @t239 () (not @t238))
% 0.32/0.99  (define @t240 () (not (and @t213 @t215 @t213)))
% 0.32/0.99  (define @t241 () (not (and @t94 @t96)))
% 0.32/0.99  (define @t242 () (or @t13 @t241 @t213 @t94 @t240))
% 0.32/0.99  (define @t243 () (forall @t15 @t242))
% 0.32/0.99  (define @t244 () (forall @t15 (or @t13 @t213)))
% 0.32/0.99  (define @t245 () (or @t5 @t95 (not (and @t214 @t244 @t214))))
% 0.32/0.99  (define @t246 () (forall @t6 @t245))
% 0.32/0.99  (define @t247 () (or @t13 @t241 @t213 @t246))
% 0.32/0.99  (define @t248 () (forall @t15 @t247))
% 0.32/0.99  (define @t249 () (@var "Y" $$unsorted))
% 0.32/0.99  (define @t250 () (tptp.p10 @t249))
% 0.32/0.99  (define @t251 () (@list @t249))
% 0.32/0.99  (define @t252 () (forall @t251 (or (not (tptp.r1 @t3 @t249)) @t250)))
% 0.32/0.99  (define @t253 () (or @t5 (not (and @t95 @t252)) @t214))
% 0.32/0.99  (define @t254 () (forall @t6 @t253))
% 0.32/0.99  (define @t255 () (or @t13 @t254 @t94 @t240))
% 0.32/0.99  (define @t256 () (forall @t15 @t255))
% 0.32/0.99  (define @t257 () (and @t256 @t248 @t243))
% 0.32/0.99  (define @t258 () (not @t257))
% 0.32/0.99  (define @t259 () (or @t13 @t94 @t240))
% 0.32/0.99  (define @t260 () (forall @t15 @t259))
% 0.32/0.99  (define @t261 () (or @t13 @t241 @t213))
% 0.32/0.99  (define @t262 () (forall @t15 @t261))
% 0.32/0.99  (define @t263 () (or @t262 @t260 @t258))
% 0.32/0.99  (define @t264 () (not @t263))
% 0.32/0.99  (define @t265 () (not (and @t94 @t96 @t94)))
% 0.32/0.99  (define @t266 () (tptp.p11 @t1))
% 0.32/0.99  (define @t267 () (tptp.p11 @t3))
% 0.32/0.99  (define @t268 () (forall @t6 (or @t5 @t267)))
% 0.32/0.99  (define @t269 () (not (and @t266 @t268)))
% 0.32/0.99  (define @t270 () (or @t13 @t269 @t94 @t266 @t265))
% 0.32/0.99  (define @t271 () (forall @t15 @t270))
% 0.32/0.99  (define @t272 () (forall @t15 (or @t13 @t94)))
% 0.32/0.99  (define @t273 () (or @t5 @t267 (not (and @t95 @t272 @t95))))
% 0.32/0.99  (define @t274 () (forall @t6 @t273))
% 0.32/0.99  (define @t275 () (or @t13 @t269 @t94 @t274))
% 0.32/0.99  (define @t276 () (forall @t15 @t275))
% 0.32/0.99  (define @t277 () (@var "Y" $$unsorted))
% 0.32/0.99  (define @t278 () (tptp.p11 @t277))
% 0.32/0.99  (define @t279 () (@list @t277))
% 0.32/0.99  (define @t280 () (forall @t279 (or (not (tptp.r1 @t3 @t277)) @t278)))
% 0.32/0.99  (define @t281 () (or @t5 (not (and @t267 @t280)) @t95))
% 0.32/0.99  (define @t282 () (forall @t6 @t281))
% 0.32/0.99  (define @t283 () (or @t13 @t282 @t266 @t265))
% 0.32/0.99  (define @t284 () (forall @t15 @t283))
% 0.32/0.99  (define @t285 () (and @t284 @t276 @t271))
% 0.32/0.99  (define @t286 () (not @t285))
% 0.32/0.99  (define @t287 () (or @t13 @t266 @t265))
% 0.32/0.99  (define @t288 () (forall @t15 @t287))
% 0.32/0.99  (define @t289 () (or @t13 @t269 @t94))
% 0.32/0.99  (define @t290 () (forall @t15 @t289))
% 0.32/0.99  (define @t291 () (or @t290 @t288 @t286))
% 0.32/0.99  (define @t292 () (not @t291))
% 0.32/0.99  (define @t293 () (or @t292 @t264 @t239 @t211 @t183 @t155 @t127 @t99 @t99 @t93 @t65 @t37))
% 0.32/0.99  (define @t294 () (not @t293))
% 0.32/0.99  (define @t295 () (exists @t6 @t294))
% 0.32/0.99  (define @t296 () (not false))
% 0.32/0.99  (define @t297 () (forall @t6 @t296))
% 0.32/0.99  (define @t298 () (not @t297))
% 0.32/0.99  (define @t299 () (@var "BOUND_VARIABLE_8662" $$unsorted))
% 0.32/0.99  (define @t300 () (tptp.p1 @t299))
% 0.32/0.99  (define @t301 () (@var "BOUND_VARIABLE_8677" $$unsorted))
% 0.32/0.99  (define @t302 () (@list @t299))
% 0.32/0.99  (define @t303 () (not (forall @t302 (or (not (tptp.r1 @t301 @t299)) @t300))))
% 0.32/0.99  (define @t304 () (not (tptp.p1 @t301)))
% 0.32/0.99  (define @t305 () (tptp.p2 @t301))
% 0.32/0.99  (define @t306 () (not (tptp.r1 @t1 @t301)))
% 0.32/0.99  (define @t307 () (not @t11))
% 0.32/0.99  (define @t308 () (not @t9))
% 0.32/0.99  (define @t309 () (or @t13 @t308 @t307 @t2 @t306 @t305 @t304 @t303))
% 0.32/0.99  (define @t310 () (@list @t1 @t301))
% 0.32/0.99  (define @t311 () (forall @t310 @t309))
% 0.32/0.99  (define @t312 () (@var "BOUND_VARIABLE_8637" $$unsorted))
% 0.32/0.99  (define @t313 () (tptp.p1 @t312))
% 0.32/0.99  (define @t314 () (not (forall @t24 (or (not (tptp.r1 @t312 @t22)) @t23))))
% 0.32/0.99  (define @t315 () (not (tptp.p2 @t312)))
% 0.32/0.99  (define @t316 () (not (tptp.r1 @t1 @t312)))
% 0.32/0.99  (define @t317 () (not @t7))
% 0.32/0.99  (define @t318 () (not @t2))
% 0.32/0.99  (define @t319 () (or @t13 @t9 @t318 @t317 @t316 @t315 @t314 @t313))
% 0.32/0.99  (define @t320 () (@list @t1 @t312))
% 0.32/0.99  (define @t321 () (forall @t320 @t319))
% 0.32/0.99  (define @t322 () (and @t321 @t311))
% 0.32/0.99  (define @t323 () (or @t13 @t9 @t318 @t317))
% 0.32/0.99  (define @t324 () (or @t13 @t308 @t307 @t2))
% 0.32/0.99  (define @t325 () (@var "BOUND_VARIABLE_8584" $$unsorted))
% 0.32/0.99  (define @t326 () (tptp.p2 @t325))
% 0.32/0.99  (define @t327 () (@var "BOUND_VARIABLE_8599" $$unsorted))
% 0.32/0.99  (define @t328 () (@list @t325))
% 0.32/0.99  (define @t329 () (not (forall @t328 (or (not (tptp.r1 @t327 @t325)) @t326))))
% 0.32/0.99  (define @t330 () (not (tptp.p2 @t327)))
% 0.32/0.99  (define @t331 () (tptp.p3 @t327))
% 0.32/0.99  (define @t332 () (not (tptp.r1 @t1 @t327)))
% 0.32/0.99  (define @t333 () (not @t41))
% 0.32/0.99  (define @t334 () (not @t39))
% 0.32/0.99  (define @t335 () (or @t13 @t334 @t333 @t9 @t332 @t331 @t330 @t329))
% 0.32/0.99  (define @t336 () (@list @t1 @t327))
% 0.32/0.99  (define @t337 () (forall @t336 @t335))
% 0.32/0.99  (define @t338 () (@var "BOUND_VARIABLE_8559" $$unsorted))
% 0.32/0.99  (define @t339 () (tptp.p2 @t338))
% 0.32/0.99  (define @t340 () (not (forall @t52 (or (not (tptp.r1 @t338 @t50)) @t51))))
% 0.32/0.99  (define @t341 () (not (tptp.p3 @t338)))
% 0.32/0.99  (define @t342 () (not (tptp.r1 @t1 @t338)))
% 0.32/0.99  (define @t343 () (or @t13 @t39 @t308 @t307 @t342 @t341 @t340 @t339))
% 0.32/0.99  (define @t344 () (@list @t1 @t338))
% 0.32/0.99  (define @t345 () (forall @t344 @t343))
% 0.32/0.99  (define @t346 () (and @t345 @t337))
% 0.32/0.99  (define @t347 () (or @t13 @t39 @t308 @t307))
% 0.32/0.99  (define @t348 () (or @t13 @t334 @t333 @t9))
% 0.32/0.99  (define @t349 () (@var "BOUND_VARIABLE_8506" $$unsorted))
% 0.32/0.99  (define @t350 () (tptp.p3 @t349))
% 0.32/0.99  (define @t351 () (@var "BOUND_VARIABLE_8521" $$unsorted))
% 0.32/0.99  (define @t352 () (@list @t349))
% 0.32/0.99  (define @t353 () (not (forall @t352 (or (not (tptp.r1 @t351 @t349)) @t350))))
% 0.32/0.99  (define @t354 () (not (tptp.p3 @t351)))
% 0.32/0.99  (define @t355 () (tptp.p4 @t351))
% 0.32/0.99  (define @t356 () (not (tptp.r1 @t1 @t351)))
% 0.32/0.99  (define @t357 () (not @t69))
% 0.32/0.99  (define @t358 () (not @t67))
% 0.32/0.99  (define @t359 () (or @t13 @t358 @t357 @t39 @t356 @t355 @t354 @t353))
% 0.32/0.99  (define @t360 () (@list @t1 @t351))
% 0.32/0.99  (define @t361 () (forall @t360 @t359))
% 0.32/0.99  (define @t362 () (@var "BOUND_VARIABLE_8481" $$unsorted))
% 0.32/0.99  (define @t363 () (tptp.p3 @t362))
% 0.32/0.99  (define @t364 () (not (forall @t80 (or (not (tptp.r1 @t362 @t78)) @t79))))
% 0.32/0.99  (define @t365 () (not (tptp.p4 @t362)))
% 0.32/0.99  (define @t366 () (not (tptp.r1 @t1 @t362)))
% 0.32/0.99  (define @t367 () (or @t13 @t67 @t334 @t333 @t366 @t365 @t364 @t363))
% 0.32/0.99  (define @t368 () (@list @t1 @t362))
% 0.32/0.99  (define @t369 () (forall @t368 @t367))
% 0.32/0.99  (define @t370 () (and @t369 @t361))
% 0.32/0.99  (define @t371 () (or @t13 @t67 @t334 @t333))
% 0.32/0.99  (define @t372 () (or @t13 @t358 @t357 @t39))
% 0.32/0.99  (define @t373 () (@var "BOUND_VARIABLE_8427" $$unsorted))
% 0.32/0.99  (define @t374 () (tptp.p4 @t373))
% 0.32/0.99  (define @t375 () (@var "BOUND_VARIABLE_8442" $$unsorted))
% 0.32/0.99  (define @t376 () (@list @t373))
% 0.32/0.99  (define @t377 () (not (forall @t376 (or (not (tptp.r1 @t375 @t373)) @t374))))
% 0.32/0.99  (define @t378 () (not (tptp.p4 @t375)))
% 0.32/0.99  (define @t379 () (tptp.p5 @t375))
% 0.32/0.99  (define @t380 () (not (tptp.r1 @t1 @t375)))
% 0.32/0.99  (define @t381 () (not @t103))
% 0.32/0.99  (define @t382 () (not @t101))
% 0.32/0.99  (define @t383 () (or @t13 @t382 @t381 @t67 @t380 @t379 @t378 @t377))
% 0.32/0.99  (define @t384 () (@list @t1 @t375))
% 0.32/0.99  (define @t385 () (forall @t384 @t383))
% 0.32/0.99  (define @t386 () (@var "BOUND_VARIABLE_8402" $$unsorted))
% 0.32/0.99  (define @t387 () (tptp.p4 @t386))
% 0.32/0.99  (define @t388 () (not (forall @t114 (or (not (tptp.r1 @t386 @t112)) @t113))))
% 0.32/0.99  (define @t389 () (not (tptp.p5 @t386)))
% 0.32/0.99  (define @t390 () (not (tptp.r1 @t1 @t386)))
% 0.32/0.99  (define @t391 () (or @t13 @t101 @t358 @t357 @t390 @t389 @t388 @t387))
% 0.32/0.99  (define @t392 () (@list @t1 @t386))
% 0.32/0.99  (define @t393 () (forall @t392 @t391))
% 0.32/0.99  (define @t394 () (and @t393 @t385))
% 0.32/0.99  (define @t395 () (or @t13 @t101 @t358 @t357))
% 0.32/0.99  (define @t396 () (or @t13 @t382 @t381 @t67))
% 0.32/0.99  (define @t397 () (@var "BOUND_VARIABLE_8349" $$unsorted))
% 0.32/0.99  (define @t398 () (tptp.p5 @t397))
% 0.32/0.99  (define @t399 () (@var "BOUND_VARIABLE_8364" $$unsorted))
% 0.32/0.99  (define @t400 () (@list @t397))
% 0.32/0.99  (define @t401 () (not (forall @t400 (or (not (tptp.r1 @t399 @t397)) @t398))))
% 0.32/0.99  (define @t402 () (not (tptp.p5 @t399)))
% 0.32/0.99  (define @t403 () (tptp.p6 @t399))
% 0.32/0.99  (define @t404 () (not (tptp.r1 @t1 @t399)))
% 0.32/0.99  (define @t405 () (not @t131))
% 0.32/0.99  (define @t406 () (not @t129))
% 0.32/0.99  (define @t407 () (or @t13 @t406 @t405 @t101 @t404 @t403 @t402 @t401))
% 0.32/0.99  (define @t408 () (@list @t1 @t399))
% 0.32/0.99  (define @t409 () (forall @t408 @t407))
% 0.32/0.99  (define @t410 () (@var "BOUND_VARIABLE_8324" $$unsorted))
% 0.32/0.99  (define @t411 () (tptp.p5 @t410))
% 0.32/0.99  (define @t412 () (not (forall @t142 (or (not (tptp.r1 @t410 @t140)) @t141))))
% 0.32/0.99  (define @t413 () (not (tptp.p6 @t410)))
% 0.32/0.99  (define @t414 () (not (tptp.r1 @t1 @t410)))
% 0.32/0.99  (define @t415 () (or @t13 @t129 @t382 @t381 @t414 @t413 @t412 @t411))
% 0.32/0.99  (define @t416 () (@list @t1 @t410))
% 0.32/0.99  (define @t417 () (forall @t416 @t415))
% 0.32/0.99  (define @t418 () (and @t417 @t409))
% 0.32/0.99  (define @t419 () (or @t13 @t129 @t382 @t381))
% 0.32/0.99  (define @t420 () (or @t13 @t406 @t405 @t101))
% 0.32/0.99  (define @t421 () (@var "BOUND_VARIABLE_8271" $$unsorted))
% 0.32/0.99  (define @t422 () (tptp.p6 @t421))
% 0.32/0.99  (define @t423 () (@var "BOUND_VARIABLE_8286" $$unsorted))
% 0.32/0.99  (define @t424 () (@list @t421))
% 0.32/0.99  (define @t425 () (not (forall @t424 (or (not (tptp.r1 @t423 @t421)) @t422))))
% 0.32/0.99  (define @t426 () (not (tptp.p6 @t423)))
% 0.32/0.99  (define @t427 () (tptp.p7 @t423))
% 0.32/0.99  (define @t428 () (not (tptp.r1 @t1 @t423)))
% 0.32/0.99  (define @t429 () (not @t159))
% 0.32/0.99  (define @t430 () (not @t157))
% 0.32/0.99  (define @t431 () (or @t13 @t430 @t429 @t129 @t428 @t427 @t426 @t425))
% 0.32/0.99  (define @t432 () (@list @t1 @t423))
% 0.32/0.99  (define @t433 () (forall @t432 @t431))
% 0.32/0.99  (define @t434 () (@var "BOUND_VARIABLE_8246" $$unsorted))
% 0.32/0.99  (define @t435 () (tptp.p6 @t434))
% 0.32/0.99  (define @t436 () (not (forall @t170 (or (not (tptp.r1 @t434 @t168)) @t169))))
% 0.32/0.99  (define @t437 () (not (tptp.p7 @t434)))
% 0.32/0.99  (define @t438 () (not (tptp.r1 @t1 @t434)))
% 0.32/0.99  (define @t439 () (or @t13 @t157 @t406 @t405 @t438 @t437 @t436 @t435))
% 0.32/0.99  (define @t440 () (@list @t1 @t434))
% 0.32/0.99  (define @t441 () (forall @t440 @t439))
% 0.32/0.99  (define @t442 () (and @t441 @t433))
% 0.32/0.99  (define @t443 () (or @t13 @t157 @t406 @t405))
% 0.32/0.99  (define @t444 () (or @t13 @t430 @t429 @t129))
% 0.32/0.99  (define @t445 () (@var "BOUND_VARIABLE_8193" $$unsorted))
% 0.32/0.99  (define @t446 () (tptp.p7 @t445))
% 0.32/0.99  (define @t447 () (@var "BOUND_VARIABLE_8208" $$unsorted))
% 0.32/0.99  (define @t448 () (@list @t445))
% 0.32/0.99  (define @t449 () (not (forall @t448 (or (not (tptp.r1 @t447 @t445)) @t446))))
% 0.32/0.99  (define @t450 () (not (tptp.p7 @t447)))
% 0.32/0.99  (define @t451 () (tptp.p8 @t447))
% 0.32/0.99  (define @t452 () (not (tptp.r1 @t1 @t447)))
% 0.32/0.99  (define @t453 () (not @t187))
% 0.32/0.99  (define @t454 () (not @t185))
% 0.32/0.99  (define @t455 () (or @t13 @t454 @t453 @t157 @t452 @t451 @t450 @t449))
% 0.32/0.99  (define @t456 () (@list @t1 @t447))
% 0.32/0.99  (define @t457 () (forall @t456 @t455))
% 0.32/0.99  (define @t458 () (@var "BOUND_VARIABLE_8168" $$unsorted))
% 0.32/0.99  (define @t459 () (tptp.p7 @t458))
% 0.32/0.99  (define @t460 () (not (forall @t198 (or (not (tptp.r1 @t458 @t196)) @t197))))
% 0.32/0.99  (define @t461 () (not (tptp.p8 @t458)))
% 0.32/0.99  (define @t462 () (not (tptp.r1 @t1 @t458)))
% 0.32/0.99  (define @t463 () (or @t13 @t185 @t430 @t429 @t462 @t461 @t460 @t459))
% 0.32/0.99  (define @t464 () (@list @t1 @t458))
% 0.32/0.99  (define @t465 () (forall @t464 @t463))
% 0.32/0.99  (define @t466 () (and @t465 @t457))
% 0.32/0.99  (define @t467 () (or @t13 @t185 @t430 @t429))
% 0.32/0.99  (define @t468 () (or @t13 @t454 @t453 @t157))
% 0.32/0.99  (define @t469 () (@var "BOUND_VARIABLE_8115" $$unsorted))
% 0.32/0.99  (define @t470 () (tptp.p8 @t469))
% 0.32/0.99  (define @t471 () (@var "BOUND_VARIABLE_8130" $$unsorted))
% 0.32/0.99  (define @t472 () (@list @t469))
% 0.32/0.99  (define @t473 () (not (forall @t472 (or (not (tptp.r1 @t471 @t469)) @t470))))
% 0.32/0.99  (define @t474 () (not (tptp.p8 @t471)))
% 0.32/0.99  (define @t475 () (tptp.p9 @t471))
% 0.32/0.99  (define @t476 () (not (tptp.r1 @t1 @t471)))
% 0.32/0.99  (define @t477 () (not @t215))
% 0.32/0.99  (define @t478 () (not @t213))
% 0.32/0.99  (define @t479 () (or @t13 @t478 @t477 @t185 @t476 @t475 @t474 @t473))
% 0.32/0.99  (define @t480 () (@list @t1 @t471))
% 0.32/0.99  (define @t481 () (forall @t480 @t479))
% 0.32/0.99  (define @t482 () (@var "BOUND_VARIABLE_8090" $$unsorted))
% 0.32/0.99  (define @t483 () (tptp.p8 @t482))
% 0.32/0.99  (define @t484 () (not (forall @t226 (or (not (tptp.r1 @t482 @t224)) @t225))))
% 0.32/0.99  (define @t485 () (not (tptp.p9 @t482)))
% 0.32/0.99  (define @t486 () (not (tptp.r1 @t1 @t482)))
% 0.32/0.99  (define @t487 () (or @t13 @t213 @t454 @t453 @t486 @t485 @t484 @t483))
% 0.32/0.99  (define @t488 () (@list @t1 @t482))
% 0.32/0.99  (define @t489 () (forall @t488 @t487))
% 0.32/0.99  (define @t490 () (and @t489 @t481))
% 0.32/0.99  (define @t491 () (or @t13 @t213 @t454 @t453))
% 0.32/0.99  (define @t492 () (or @t13 @t478 @t477 @t185))
% 0.32/0.99  (define @t493 () (@var "BOUND_VARIABLE_8037" $$unsorted))
% 0.32/0.99  (define @t494 () (tptp.p9 @t493))
% 0.32/0.99  (define @t495 () (@var "BOUND_VARIABLE_8052" $$unsorted))
% 0.32/0.99  (define @t496 () (@list @t493))
% 0.32/0.99  (define @t497 () (not (forall @t496 (or (not (tptp.r1 @t495 @t493)) @t494))))
% 0.32/0.99  (define @t498 () (not (tptp.p9 @t495)))
% 0.32/0.99  (define @t499 () (tptp.p10 @t495))
% 0.32/0.99  (define @t500 () (not (tptp.r1 @t1 @t495)))
% 0.32/0.99  (define @t501 () (not @t96))
% 0.32/0.99  (define @t502 () (not @t94))
% 0.32/0.99  (define @t503 () (or @t13 @t502 @t501 @t213 @t500 @t499 @t498 @t497))
% 0.32/0.99  (define @t504 () (@list @t1 @t495))
% 0.32/0.99  (define @t505 () (forall @t504 @t503))
% 0.32/0.99  (define @t506 () (@var "BOUND_VARIABLE_8012" $$unsorted))
% 0.32/0.99  (define @t507 () (tptp.p9 @t506))
% 0.32/0.99  (define @t508 () (not (forall @t251 (or (not (tptp.r1 @t506 @t249)) @t250))))
% 0.32/0.99  (define @t509 () (not (tptp.p10 @t506)))
% 0.32/0.99  (define @t510 () (not (tptp.r1 @t1 @t506)))
% 0.32/0.99  (define @t511 () (or @t13 @t94 @t478 @t477 @t510 @t509 @t508 @t507))
% 0.32/0.99  (define @t512 () (@list @t1 @t506))
% 0.32/0.99  (define @t513 () (forall @t512 @t511))
% 0.32/0.99  (define @t514 () (and @t513 @t505))
% 0.32/0.99  (define @t515 () (or @t13 @t94 @t478 @t477))
% 0.32/0.99  (define @t516 () (or @t13 @t502 @t501 @t213))
% 0.32/0.99  (define @t517 () (@var "BOUND_VARIABLE_7958" $$unsorted))
% 0.32/0.99  (define @t518 () (tptp.p10 @t517))
% 0.32/0.99  (define @t519 () (@var "BOUND_VARIABLE_7973" $$unsorted))
% 0.32/0.99  (define @t520 () (@list @t517))
% 0.32/0.99  (define @t521 () (not (forall @t520 (or (not (tptp.r1 @t519 @t517)) @t518))))
% 0.32/0.99  (define @t522 () (not (tptp.p10 @t519)))
% 0.32/0.99  (define @t523 () (tptp.p11 @t519))
% 0.32/0.99  (define @t524 () (not (tptp.r1 @t1 @t519)))
% 0.32/0.99  (define @t525 () (not @t268))
% 0.32/0.99  (define @t526 () (not @t266))
% 0.32/0.99  (define @t527 () (or @t13 @t526 @t525 @t94 @t524 @t523 @t522 @t521))
% 0.32/0.99  (define @t528 () (@list @t1 @t519))
% 0.32/0.99  (define @t529 () (forall @t528 @t527))
% 0.32/0.99  (define @t530 () (@var "BOUND_VARIABLE_7933" $$unsorted))
% 0.32/0.99  (define @t531 () (tptp.p10 @t530))
% 0.32/0.99  (define @t532 () (not (forall @t279 (or (not (tptp.r1 @t530 @t277)) @t278))))
% 0.32/0.99  (define @t533 () (not (tptp.p11 @t530)))
% 0.32/0.99  (define @t534 () (not (tptp.r1 @t1 @t530)))
% 0.32/0.99  (define @t535 () (or @t13 @t266 @t502 @t501 @t534 @t533 @t532 @t531))
% 0.32/0.99  (define @t536 () (@list @t1 @t530))
% 0.32/0.99  (define @t537 () (forall @t536 @t535))
% 0.32/0.99  (define @t538 () (and @t537 @t529))
% 0.32/0.99  (define @t539 () (or @t13 @t266 @t502 @t501))
% 0.32/0.99  (define @t540 () (or @t13 @t526 @t525 @t94))
% 0.32/0.99  (define @t541 () (or @t318 @t317))
% 0.32/0.99  (define @t542 () (or @t308 @t307))
% 0.32/0.99  (define @t543 () (or @t318 @t317 @t318))
% 0.32/0.99  (define @t544 () (or @t306 @t305 @t304 @t303))
% 0.32/0.99  (define @t545 () (or @t13 @t308 @t307 @t2 @t544))
% 0.32/0.99  (define @t546 () (forall @t310 @t545))
% 0.32/0.99  (define @t547 () (@list @t301))
% 0.32/0.99  (define @t548 () (forall @t547 @t545))
% 0.32/0.99  (define @t549 () (forall @t547 @t544))
% 0.32/0.99  (define @t550 () (@list @t3))
% 0.32/0.99  (define @t551 () (or @t13 @t308 @t307 @t2 @t549))
% 0.32/0.99  (define @t552 () (not @t4))
% 0.32/0.99  (define @t553 () (forall @t6 (or @t5 @t10 @t552 (not (forall @t302 (or (not (tptp.r1 @t3 @t299)) @t300))))))
% 0.32/0.99  (define @t554 () (or @t13 @t308 @t307 @t2 @t553))
% 0.32/0.99  (define @t555 () (or @t13 @t12 @t2 @t553))
% 0.32/0.99  (define @t556 () (@list @t1))
% 0.32/0.99  (define @t557 () (not @t17))
% 0.32/0.99  (define @t558 () (or @t5 @t10 @t552 @t557))
% 0.32/0.99  (define @t559 () (forall @t6 @t558))
% 0.32/0.99  (define @t560 () (or @t13 @t12 @t2 @t559))
% 0.32/0.99  (define @t561 () (or @t552 @t557))
% 0.32/0.99  (define @t562 () (or @t552 @t557 @t552))
% 0.32/0.99  (define @t563 () (or @t316 @t315 @t314 @t313))
% 0.32/0.99  (define @t564 () (or @t13 @t563 @t9 @t318 @t317))
% 0.32/0.99  (define @t565 () (forall @t320 @t564))
% 0.32/0.99  (define @t566 () (@list @t312))
% 0.32/0.99  (define @t567 () (forall @t566 @t564))
% 0.32/0.99  (define @t568 () (forall @t566 @t563))
% 0.32/0.99  (define @t569 () (or @t13 @t568 @t9 @t318 @t317))
% 0.32/0.99  (define @t570 () (not @t25))
% 0.32/0.99  (define @t571 () (not @t10))
% 0.32/0.99  (define @t572 () (or @t5 @t571 @t570 @t4))
% 0.32/0.99  (define @t573 () (forall @t6 @t572))
% 0.32/0.99  (define @t574 () (or @t13 @t573 @t9 @t318 @t317))
% 0.32/0.99  (define @t575 () (or @t13 @t573 @t9 @t8))
% 0.32/0.99  (define @t576 () (or @t334 @t333))
% 0.32/0.99  (define @t577 () (or @t308 @t307 @t308))
% 0.32/0.99  (define @t578 () (or @t332 @t331 @t330 @t329))
% 0.32/0.99  (define @t579 () (or @t13 @t334 @t333 @t9 @t578))
% 0.32/0.99  (define @t580 () (forall @t336 @t579))
% 0.32/0.99  (define @t581 () (@list @t327))
% 0.32/0.99  (define @t582 () (forall @t581 @t579))
% 0.32/0.99  (define @t583 () (forall @t581 @t578))
% 0.32/0.99  (define @t584 () (or @t13 @t334 @t333 @t9 @t583))
% 0.32/0.99  (define @t585 () (forall @t6 (or @t5 @t40 @t571 (not (forall @t328 (or (not (tptp.r1 @t3 @t325)) @t326))))))
% 0.32/0.99  (define @t586 () (or @t13 @t334 @t333 @t9 @t585))
% 0.32/0.99  (define @t587 () (or @t13 @t42 @t9 @t585))
% 0.32/0.99  (define @t588 () (not @t45))
% 0.32/0.99  (define @t589 () (or @t5 @t40 @t571 @t588))
% 0.32/0.99  (define @t590 () (forall @t6 @t589))
% 0.32/0.99  (define @t591 () (or @t13 @t42 @t9 @t590))
% 0.32/0.99  (define @t592 () (or @t571 @t588))
% 0.32/0.99  (define @t593 () (or @t571 @t588 @t571))
% 0.32/0.99  (define @t594 () (or @t342 @t341 @t340 @t339))
% 0.32/0.99  (define @t595 () (or @t13 @t594 @t39 @t308 @t307))
% 0.32/0.99  (define @t596 () (forall @t344 @t595))
% 0.32/0.99  (define @t597 () (@list @t338))
% 0.32/0.99  (define @t598 () (forall @t597 @t595))
% 0.32/0.99  (define @t599 () (forall @t597 @t594))
% 0.32/0.99  (define @t600 () (or @t13 @t599 @t39 @t308 @t307))
% 0.32/0.99  (define @t601 () (not @t53))
% 0.32/0.99  (define @t602 () (not @t40))
% 0.32/0.99  (define @t603 () (or @t5 @t602 @t601 @t10))
% 0.32/0.99  (define @t604 () (forall @t6 @t603))
% 0.32/0.99  (define @t605 () (or @t13 @t604 @t39 @t308 @t307))
% 0.32/0.99  (define @t606 () (or @t13 @t604 @t39 @t38))
% 0.32/0.99  (define @t607 () (or @t358 @t357))
% 0.32/0.99  (define @t608 () (or @t334 @t333 @t334))
% 0.32/0.99  (define @t609 () (or @t356 @t355 @t354 @t353))
% 0.32/0.99  (define @t610 () (or @t13 @t358 @t357 @t39 @t609))
% 0.32/0.99  (define @t611 () (forall @t360 @t610))
% 0.32/0.99  (define @t612 () (@list @t351))
% 0.32/0.99  (define @t613 () (forall @t612 @t610))
% 0.32/0.99  (define @t614 () (forall @t612 @t609))
% 0.32/0.99  (define @t615 () (or @t13 @t358 @t357 @t39 @t614))
% 0.32/0.99  (define @t616 () (forall @t6 (or @t5 @t68 @t602 (not (forall @t352 (or (not (tptp.r1 @t3 @t349)) @t350))))))
% 0.32/0.99  (define @t617 () (or @t13 @t358 @t357 @t39 @t616))
% 0.32/0.99  (define @t618 () (or @t13 @t70 @t39 @t616))
% 0.32/0.99  (define @t619 () (not @t73))
% 0.32/0.99  (define @t620 () (or @t5 @t68 @t602 @t619))
% 0.32/0.99  (define @t621 () (forall @t6 @t620))
% 0.32/0.99  (define @t622 () (or @t13 @t70 @t39 @t621))
% 0.32/0.99  (define @t623 () (or @t602 @t619))
% 0.32/0.99  (define @t624 () (or @t602 @t619 @t602))
% 0.32/0.99  (define @t625 () (or @t366 @t365 @t364 @t363))
% 0.32/0.99  (define @t626 () (or @t13 @t625 @t67 @t334 @t333))
% 0.32/0.99  (define @t627 () (forall @t368 @t626))
% 0.32/0.99  (define @t628 () (@list @t362))
% 0.32/0.99  (define @t629 () (forall @t628 @t626))
% 0.32/0.99  (define @t630 () (forall @t628 @t625))
% 0.32/0.99  (define @t631 () (or @t13 @t630 @t67 @t334 @t333))
% 0.32/0.99  (define @t632 () (not @t81))
% 0.32/0.99  (define @t633 () (not @t68))
% 0.32/0.99  (define @t634 () (or @t5 @t633 @t632 @t40))
% 0.32/0.99  (define @t635 () (forall @t6 @t634))
% 0.32/0.99  (define @t636 () (or @t13 @t635 @t67 @t334 @t333))
% 0.32/0.99  (define @t637 () (or @t13 @t635 @t67 @t66))
% 0.32/0.99  (define @t638 () (or @t501 @t502))
% 0.32/0.99  (define @t639 () (or @t382 @t381))
% 0.32/0.99  (define @t640 () (or @t358 @t357 @t358))
% 0.32/0.99  (define @t641 () (or @t380 @t379 @t378 @t377))
% 0.32/0.99  (define @t642 () (or @t13 @t382 @t381 @t67 @t641))
% 0.32/0.99  (define @t643 () (forall @t384 @t642))
% 0.32/0.99  (define @t644 () (@list @t375))
% 0.32/0.99  (define @t645 () (forall @t644 @t642))
% 0.32/0.99  (define @t646 () (forall @t644 @t641))
% 0.32/0.99  (define @t647 () (or @t13 @t382 @t381 @t67 @t646))
% 0.32/0.99  (define @t648 () (forall @t6 (or @t5 @t102 @t633 (not (forall @t376 (or (not (tptp.r1 @t3 @t373)) @t374))))))
% 0.32/0.99  (define @t649 () (or @t13 @t382 @t381 @t67 @t648))
% 0.32/0.99  (define @t650 () (or @t13 @t104 @t67 @t648))
% 0.32/0.99  (define @t651 () (not @t107))
% 0.32/0.99  (define @t652 () (or @t5 @t102 @t633 @t651))
% 0.32/0.99  (define @t653 () (forall @t6 @t652))
% 0.32/0.99  (define @t654 () (or @t13 @t104 @t67 @t653))
% 0.32/0.99  (define @t655 () (or @t633 @t651))
% 0.32/0.99  (define @t656 () (or @t633 @t651 @t633))
% 0.32/0.99  (define @t657 () (or @t390 @t389 @t388 @t387))
% 0.32/0.99  (define @t658 () (or @t13 @t657 @t101 @t358 @t357))
% 0.32/0.99  (define @t659 () (forall @t392 @t658))
% 0.32/0.99  (define @t660 () (@list @t386))
% 0.32/0.99  (define @t661 () (forall @t660 @t658))
% 0.32/0.99  (define @t662 () (forall @t660 @t657))
% 0.32/0.99  (define @t663 () (or @t13 @t662 @t101 @t358 @t357))
% 0.32/0.99  (define @t664 () (not @t115))
% 0.32/0.99  (define @t665 () (not @t102))
% 0.32/0.99  (define @t666 () (or @t5 @t665 @t664 @t68))
% 0.32/0.99  (define @t667 () (forall @t6 @t666))
% 0.32/0.99  (define @t668 () (or @t13 @t667 @t101 @t358 @t357))
% 0.32/0.99  (define @t669 () (or @t13 @t667 @t101 @t100))
% 0.32/0.99  (define @t670 () (or @t406 @t405))
% 0.32/0.99  (define @t671 () (or @t382 @t381 @t382))
% 0.32/0.99  (define @t672 () (or @t404 @t403 @t402 @t401))
% 0.32/0.99  (define @t673 () (or @t13 @t406 @t405 @t101 @t672))
% 0.32/0.99  (define @t674 () (forall @t408 @t673))
% 0.32/0.99  (define @t675 () (@list @t399))
% 0.32/0.99  (define @t676 () (forall @t675 @t673))
% 0.32/0.99  (define @t677 () (forall @t675 @t672))
% 0.32/0.99  (define @t678 () (or @t13 @t406 @t405 @t101 @t677))
% 0.32/0.99  (define @t679 () (forall @t6 (or @t5 @t130 @t665 (not (forall @t400 (or (not (tptp.r1 @t3 @t397)) @t398))))))
% 0.32/0.99  (define @t680 () (or @t13 @t406 @t405 @t101 @t679))
% 0.32/0.99  (define @t681 () (or @t13 @t132 @t101 @t679))
% 0.32/0.99  (define @t682 () (not @t135))
% 0.32/0.99  (define @t683 () (or @t5 @t130 @t665 @t682))
% 0.32/0.99  (define @t684 () (forall @t6 @t683))
% 0.32/0.99  (define @t685 () (or @t13 @t132 @t101 @t684))
% 0.32/0.99  (define @t686 () (or @t665 @t682))
% 0.32/0.99  (define @t687 () (or @t665 @t682 @t665))
% 0.32/0.99  (define @t688 () (or @t414 @t413 @t412 @t411))
% 0.32/0.99  (define @t689 () (or @t13 @t688 @t129 @t382 @t381))
% 0.32/0.99  (define @t690 () (forall @t416 @t689))
% 0.32/0.99  (define @t691 () (@list @t410))
% 0.32/0.99  (define @t692 () (forall @t691 @t689))
% 0.32/0.99  (define @t693 () (forall @t691 @t688))
% 0.32/0.99  (define @t694 () (or @t13 @t693 @t129 @t382 @t381))
% 0.32/0.99  (define @t695 () (not @t143))
% 0.32/0.99  (define @t696 () (not @t130))
% 0.32/0.99  (define @t697 () (or @t5 @t696 @t695 @t102))
% 0.32/0.99  (define @t698 () (forall @t6 @t697))
% 0.32/0.99  (define @t699 () (or @t13 @t698 @t129 @t382 @t381))
% 0.32/0.99  (define @t700 () (or @t13 @t698 @t129 @t128))
% 0.32/0.99  (define @t701 () (or @t430 @t429))
% 0.32/0.99  (define @t702 () (or @t406 @t405 @t406))
% 0.32/0.99  (define @t703 () (or @t428 @t427 @t426 @t425))
% 0.32/0.99  (define @t704 () (or @t13 @t430 @t429 @t129 @t703))
% 0.32/0.99  (define @t705 () (forall @t432 @t704))
% 0.32/0.99  (define @t706 () (@list @t423))
% 0.32/0.99  (define @t707 () (forall @t706 @t704))
% 0.32/0.99  (define @t708 () (forall @t706 @t703))
% 0.32/0.99  (define @t709 () (or @t13 @t430 @t429 @t129 @t708))
% 0.32/0.99  (define @t710 () (forall @t6 (or @t5 @t158 @t696 (not (forall @t424 (or (not (tptp.r1 @t3 @t421)) @t422))))))
% 0.32/0.99  (define @t711 () (or @t13 @t430 @t429 @t129 @t710))
% 0.32/0.99  (define @t712 () (or @t13 @t160 @t129 @t710))
% 0.32/0.99  (define @t713 () (not @t163))
% 0.32/0.99  (define @t714 () (or @t5 @t158 @t696 @t713))
% 0.32/0.99  (define @t715 () (forall @t6 @t714))
% 0.32/0.99  (define @t716 () (or @t13 @t160 @t129 @t715))
% 0.32/0.99  (define @t717 () (or @t696 @t713))
% 0.32/0.99  (define @t718 () (or @t696 @t713 @t696))
% 0.32/0.99  (define @t719 () (or @t438 @t437 @t436 @t435))
% 0.32/0.99  (define @t720 () (or @t13 @t719 @t157 @t406 @t405))
% 0.32/0.99  (define @t721 () (forall @t440 @t720))
% 0.32/0.99  (define @t722 () (@list @t434))
% 0.32/0.99  (define @t723 () (forall @t722 @t720))
% 0.32/0.99  (define @t724 () (forall @t722 @t719))
% 0.32/0.99  (define @t725 () (or @t13 @t724 @t157 @t406 @t405))
% 0.32/0.99  (define @t726 () (not @t171))
% 0.32/0.99  (define @t727 () (not @t158))
% 0.32/0.99  (define @t728 () (or @t5 @t727 @t726 @t130))
% 0.32/0.99  (define @t729 () (forall @t6 @t728))
% 0.32/0.99  (define @t730 () (or @t13 @t729 @t157 @t406 @t405))
% 0.32/0.99  (define @t731 () (or @t13 @t729 @t157 @t156))
% 0.32/0.99  (define @t732 () (or @t454 @t453))
% 0.32/0.99  (define @t733 () (or @t430 @t429 @t430))
% 0.32/0.99  (define @t734 () (or @t452 @t451 @t450 @t449))
% 0.32/0.99  (define @t735 () (or @t13 @t454 @t453 @t157 @t734))
% 0.32/0.99  (define @t736 () (forall @t456 @t735))
% 0.32/0.99  (define @t737 () (@list @t447))
% 0.32/0.99  (define @t738 () (forall @t737 @t735))
% 0.32/0.99  (define @t739 () (forall @t737 @t734))
% 0.32/0.99  (define @t740 () (or @t13 @t454 @t453 @t157 @t739))
% 0.32/0.99  (define @t741 () (forall @t6 (or @t5 @t186 @t727 (not (forall @t448 (or (not (tptp.r1 @t3 @t445)) @t446))))))
% 0.32/0.99  (define @t742 () (or @t13 @t454 @t453 @t157 @t741))
% 0.32/0.99  (define @t743 () (or @t13 @t188 @t157 @t741))
% 0.32/0.99  (define @t744 () (not @t191))
% 0.32/0.99  (define @t745 () (or @t5 @t186 @t727 @t744))
% 0.32/0.99  (define @t746 () (forall @t6 @t745))
% 0.32/0.99  (define @t747 () (or @t13 @t188 @t157 @t746))
% 0.32/0.99  (define @t748 () (or @t727 @t744))
% 0.32/0.99  (define @t749 () (or @t727 @t744 @t727))
% 0.32/0.99  (define @t750 () (or @t462 @t461 @t460 @t459))
% 0.32/0.99  (define @t751 () (or @t13 @t750 @t185 @t430 @t429))
% 0.32/0.99  (define @t752 () (forall @t464 @t751))
% 0.32/0.99  (define @t753 () (@list @t458))
% 0.32/0.99  (define @t754 () (forall @t753 @t751))
% 0.32/0.99  (define @t755 () (forall @t753 @t750))
% 0.32/0.99  (define @t756 () (or @t13 @t755 @t185 @t430 @t429))
% 0.32/0.99  (define @t757 () (not @t199))
% 0.32/0.99  (define @t758 () (not @t186))
% 0.32/0.99  (define @t759 () (or @t5 @t758 @t757 @t158))
% 0.32/0.99  (define @t760 () (forall @t6 @t759))
% 0.32/0.99  (define @t761 () (or @t13 @t760 @t185 @t430 @t429))
% 0.32/0.99  (define @t762 () (or @t13 @t760 @t185 @t184))
% 0.32/0.99  (define @t763 () (or @t478 @t477))
% 0.32/0.99  (define @t764 () (or @t454 @t453 @t454))
% 0.32/0.99  (define @t765 () (or @t476 @t475 @t474 @t473))
% 0.32/0.99  (define @t766 () (or @t13 @t478 @t477 @t185 @t765))
% 0.32/0.99  (define @t767 () (forall @t480 @t766))
% 0.32/0.99  (define @t768 () (@list @t471))
% 0.32/0.99  (define @t769 () (forall @t768 @t766))
% 0.32/0.99  (define @t770 () (forall @t768 @t765))
% 0.32/0.99  (define @t771 () (or @t13 @t478 @t477 @t185 @t770))
% 0.32/0.99  (define @t772 () (forall @t6 (or @t5 @t214 @t758 (not (forall @t472 (or (not (tptp.r1 @t3 @t469)) @t470))))))
% 0.32/0.99  (define @t773 () (or @t13 @t478 @t477 @t185 @t772))
% 0.32/0.99  (define @t774 () (or @t13 @t216 @t185 @t772))
% 0.32/0.99  (define @t775 () (not @t219))
% 0.32/0.99  (define @t776 () (or @t5 @t214 @t758 @t775))
% 0.32/0.99  (define @t777 () (forall @t6 @t776))
% 0.32/0.99  (define @t778 () (or @t13 @t216 @t185 @t777))
% 0.32/0.99  (define @t779 () (or @t758 @t775))
% 0.32/0.99  (define @t780 () (or @t758 @t775 @t758))
% 0.32/0.99  (define @t781 () (or @t486 @t485 @t484 @t483))
% 0.32/0.99  (define @t782 () (or @t13 @t781 @t213 @t454 @t453))
% 0.32/0.99  (define @t783 () (forall @t488 @t782))
% 0.32/0.99  (define @t784 () (@list @t482))
% 0.32/0.99  (define @t785 () (forall @t784 @t782))
% 0.32/0.99  (define @t786 () (forall @t784 @t781))
% 0.32/0.99  (define @t787 () (or @t13 @t786 @t213 @t454 @t453))
% 0.32/0.99  (define @t788 () (not @t227))
% 0.32/0.99  (define @t789 () (not @t214))
% 0.32/0.99  (define @t790 () (or @t5 @t789 @t788 @t186))
% 0.32/0.99  (define @t791 () (forall @t6 @t790))
% 0.32/0.99  (define @t792 () (or @t13 @t791 @t213 @t454 @t453))
% 0.32/0.99  (define @t793 () (or @t13 @t791 @t213 @t212))
% 0.32/0.99  (define @t794 () (or @t502 @t501))
% 0.32/0.99  (define @t795 () (or @t478 @t477 @t478))
% 0.32/0.99  (define @t796 () (or @t500 @t499 @t498 @t497))
% 0.32/0.99  (define @t797 () (or @t13 @t502 @t501 @t213 @t796))
% 0.32/0.99  (define @t798 () (forall @t504 @t797))
% 0.32/0.99  (define @t799 () (@list @t495))
% 0.32/0.99  (define @t800 () (forall @t799 @t797))
% 0.32/0.99  (define @t801 () (forall @t799 @t796))
% 0.32/0.99  (define @t802 () (or @t13 @t502 @t501 @t213 @t801))
% 0.32/0.99  (define @t803 () (forall @t6 (or @t5 @t95 @t789 (not (forall @t496 (or (not (tptp.r1 @t3 @t493)) @t494))))))
% 0.32/0.99  (define @t804 () (or @t13 @t502 @t501 @t213 @t803))
% 0.32/0.99  (define @t805 () (or @t13 @t241 @t213 @t803))
% 0.32/0.99  (define @t806 () (not @t244))
% 0.32/0.99  (define @t807 () (or @t5 @t95 @t789 @t806))
% 0.32/0.99  (define @t808 () (forall @t6 @t807))
% 0.32/0.99  (define @t809 () (or @t13 @t241 @t213 @t808))
% 0.32/0.99  (define @t810 () (or @t789 @t806))
% 0.32/0.99  (define @t811 () (or @t789 @t806 @t789))
% 0.32/0.99  (define @t812 () (or @t510 @t509 @t508 @t507))
% 0.32/0.99  (define @t813 () (or @t13 @t812 @t94 @t478 @t477))
% 0.32/0.99  (define @t814 () (forall @t512 @t813))
% 0.32/0.99  (define @t815 () (@list @t506))
% 0.32/0.99  (define @t816 () (forall @t815 @t813))
% 0.32/0.99  (define @t817 () (forall @t815 @t812))
% 0.32/0.99  (define @t818 () (or @t13 @t817 @t94 @t478 @t477))
% 0.32/0.99  (define @t819 () (not @t252))
% 0.32/0.99  (define @t820 () (not @t95))
% 0.32/0.99  (define @t821 () (or @t5 @t820 @t819 @t214))
% 0.32/0.99  (define @t822 () (forall @t6 @t821))
% 0.32/0.99  (define @t823 () (or @t13 @t822 @t94 @t478 @t477))
% 0.32/0.99  (define @t824 () (or @t13 @t822 @t94 @t240))
% 0.32/0.99  (define @t825 () (or @t526 @t525))
% 0.32/0.99  (define @t826 () (or @t502 @t501 @t502))
% 0.32/0.99  (define @t827 () (or @t524 @t523 @t522 @t521))
% 0.32/0.99  (define @t828 () (or @t13 @t526 @t525 @t94 @t827))
% 0.32/0.99  (define @t829 () (forall @t528 @t828))
% 0.32/0.99  (define @t830 () (@list @t519))
% 0.32/0.99  (define @t831 () (forall @t830 @t828))
% 0.32/0.99  (define @t832 () (forall @t830 @t827))
% 0.32/0.99  (define @t833 () (or @t13 @t526 @t525 @t94 @t832))
% 0.32/0.99  (define @t834 () (forall @t6 (or @t5 @t267 @t820 (not (forall @t520 (or (not (tptp.r1 @t3 @t517)) @t518))))))
% 0.32/0.99  (define @t835 () (or @t13 @t526 @t525 @t94 @t834))
% 0.32/0.99  (define @t836 () (or @t13 @t269 @t94 @t834))
% 0.32/0.99  (define @t837 () (not @t272))
% 0.32/0.99  (define @t838 () (or @t5 @t267 @t820 @t837))
% 0.32/0.99  (define @t839 () (forall @t6 @t838))
% 0.32/0.99  (define @t840 () (or @t13 @t269 @t94 @t839))
% 0.32/0.99  (define @t841 () (or @t820 @t837))
% 0.32/0.99  (define @t842 () (or @t820 @t837 @t820))
% 0.32/0.99  (define @t843 () (or @t534 @t533 @t532 @t531))
% 0.32/0.99  (define @t844 () (or @t13 @t843 @t266 @t502 @t501))
% 0.32/0.99  (define @t845 () (forall @t536 @t844))
% 0.32/0.99  (define @t846 () (@list @t530))
% 0.32/0.99  (define @t847 () (forall @t846 @t844))
% 0.32/0.99  (define @t848 () (forall @t846 @t843))
% 0.32/0.99  (define @t849 () (or @t13 @t848 @t266 @t502 @t501))
% 0.32/0.99  (define @t850 () (not @t280))
% 0.32/0.99  (define @t851 () (not @t267))
% 0.32/0.99  (define @t852 () (or @t5 @t851 @t850 @t95))
% 0.32/0.99  (define @t853 () (forall @t6 @t852))
% 0.32/0.99  (define @t854 () (or @t13 @t853 @t266 @t502 @t501))
% 0.32/0.99  (define @t855 () (or @t13 @t853 @t266 @t265))
% 0.32/0.99  (assume @p1 (not (not @t295)))
% 0.32/0.99  (assume @p2 true)
% 0.32/0.99  (step @p3 :rule evaluate :args ((not true)))
% 0.32/0.99  (step @p4 :rule quant-unused-vars :args ((= (forall @t6 true) true)))
% 0.32/0.99  (step @p5 :rule evaluate :args (@t296))
% 0.32/0.99  (step @p6 :rule cong :premises (@p5) :args (@t297))
% 0.32/0.99  (step @p7 :rule trans :premises (@p6 @p4))
% 0.32/0.99  (step @p8 :rule cong :premises (@p7) :args (@t298))
% 0.32/0.99  (step @p9 :rule trans :premises (@p8 @p3))
% 0.32/0.99  (step @p10 :rule exists-elim :args ((= (exists @t6 false) @t298)))
% 0.32/0.99  (step @p11 :rule trans :premises (@p10 @p9))
% 0.32/0.99  (step @p12 :rule absorb :args ((= (or (not (or (forall @t15 @t540) (forall @t15 @t539) (not @t538))) (not (or (forall @t15 @t516) (forall @t15 @t515) (not @t514))) (not (or (forall @t15 @t492) (forall @t15 @t491) (not @t490))) (not (or (forall @t15 @t468) (forall @t15 @t467) (not @t466))) (not (or (forall @t15 @t444) (forall @t15 @t443) (not @t442))) (not (or (forall @t15 @t420) (forall @t15 @t419) (not @t418))) (not (or (forall @t15 @t396) (forall @t15 @t395) (not @t394))) true true (not (or (forall @t15 @t372) (forall @t15 @t371) (not @t370))) (not (or (forall @t15 @t348) (forall @t15 @t347) (not @t346))) (not (or (forall @t15 @t324) (forall @t15 @t323) (not @t322)))) true)))
% 0.32/0.99  (step @p13 :rule aci_norm :args ((= (and @t321 @t311 true) @t322)))
% 0.32/0.99  (step @p14 :rule quant-unused-vars :args ((= (forall @t15 true) true)))
% 0.32/0.99  (step @p15 :rule bool-or-taut2 :args ((or @t13) @t9 (or @t307 @t2) (or @t318 @t317)))
% 0.32/0.99  (step @p16 :rule aci_norm :args ((= (or @t13 @t542 @t2 @t9 @t541) (or @t13 @t308 @t307 @t2 @t9 @t318 @t317))))
% 0.32/0.99  (step @p17 :rule trans :premises (@p16 @p15))
% 0.32/0.99  (step @p18 :rule aci_norm :args ((= @t543 @t541)))
% 0.32/0.99  (step @p19 :rule aci_norm :args ((= (or @t318 (or @t317 @t318)) @t543)))
% 0.32/0.99  (step @p20 :rule bool-and-de-morgan :args (@t7 @t2 true))
% 0.32/0.99  (step @p21 :rule refl :args (@t318))
% 0.32/0.99  (step @p22 :rule nary_cong :premises (@p21 @p20) :args ((or @t318 (not (and @t7 @t2)))))
% 0.32/0.99  (step @p23 :rule bool-and-de-morgan :args (@t2 @t7 (and @t2)))
% 0.32/0.99  (step @p24 :rule trans :premises (@p23 @p22))
% 0.32/0.99  (step @p25 :rule trans :premises (@p24 @p19))
% 0.32/0.99  (step @p26 :rule trans :premises (@p25 @p18))
% 0.32/0.99  (step @p27 :rule refl :args (@t9))
% 0.32/0.99  (step @p28 :rule refl :args (@t2))
% 0.32/0.99  (step @p29 :rule bool-and-de-morgan :args (@t9 @t11 true))
% 0.32/0.99  (step @p30 :rule refl :args (@t13))
% 0.32/0.99  (step @p31 :rule nary_cong :premises (@p30 @p29 @p28 @p27 @p26) :args (@t14))
% 0.32/0.99  (step @p32 :rule trans :premises (@p31 @p17))
% 0.32/0.99  (step @p33 :rule cong :premises (@p32) :args (@t16))
% 0.32/0.99  (step @p34 :rule trans :premises (@p33 @p14))
% 0.32/0.99  (step @p35 :rule aci_norm :args ((= @t545 @t309)))
% 0.32/0.99  (step @p36 :rule cong :premises (@p35) :args (@t546))
% 0.32/0.99  (step @p37 :rule quant-merge-prenex :args ((= (forall @t15 @t548) @t546)))
% 0.32/0.99  (step @p38 :rule alpha_equiv :args (@t549 (@list @t301) @t550))
% 0.32/0.99  (step @p39 :rule refl :args (@t307))
% 0.32/0.99  (step @p40 :rule refl :args (@t308))
% 0.32/0.99  (step @p41 :rule nary_cong :premises (@p30 @p40 @p39 @p28 @p38) :args (@t551))
% 0.32/0.99  (step @p42 :rule quant-miniscope-or :args ((= @t548 @t551)))
% 0.32/0.99  (step @p43 :rule trans :premises (@p42 @p41))
% 0.32/0.99  (step @p44 :rule symm :premises (@p43))
% 0.32/0.99  (step @p45 :rule cong :premises (@p44) :args ((forall @t15 @t554)))
% 0.32/0.99  (step @p46 :rule trans :premises (@p45 @p37))
% 0.32/0.99  (step @p47 :rule trans :premises (@p46 @p36))
% 0.32/0.99  (step @p48 :rule aci_norm :args ((= (or @t13 @t542 @t2 @t553) @t554)))
% 0.32/0.99  (step @p49 :rule refl :args (@t553))
% 0.32/0.99  (step @p50 :rule nary_cong :premises (@p30 @p29 @p28 @p49) :args (@t555))
% 0.32/0.99  (step @p51 :rule trans :premises (@p50 @p48))
% 0.32/0.99  (step @p52 :rule cong :premises (@p51) :args ((forall @t15 @t555)))
% 0.32/0.99  (step @p53 :rule trans :premises (@p52 @p47))
% 0.32/0.99  (step @p54 :rule alpha_equiv :args (@t17 @t556 (@list @t299)))
% 0.32/0.99  (step @p55 :rule cong :premises (@p54) :args (@t557))
% 0.32/0.99  (step @p56 :rule refl :args (@t552))
% 0.32/0.99  (step @p57 :rule refl :args (@t10))
% 0.32/0.99  (step @p58 :rule refl :args (@t5))
% 0.32/0.99  (step @p59 :rule nary_cong :premises (@p58 @p57 @p56 @p55) :args (@t558))
% 0.32/0.99  (step @p60 :rule cong :premises (@p59) :args (@t559))
% 0.32/0.99  (step @p61 :rule refl :args (@t12))
% 0.32/0.99  (step @p62 :rule nary_cong :premises (@p30 @p61 @p28 @p60) :args (@t560))
% 0.32/0.99  (step @p63 :rule cong :premises (@p62) :args ((forall @t15 @t560)))
% 0.32/0.99  (step @p64 :rule trans :premises (@p63 @p53))
% 0.32/0.99  (step @p65 :rule aci_norm :args ((= (or @t5 @t10 @t561) @t558)))
% 0.32/0.99  (step @p66 :rule aci_norm :args ((= @t562 @t561)))
% 0.32/0.99  (step @p67 :rule aci_norm :args ((= (or @t552 (or @t557 @t552)) @t562)))
% 0.32/0.99  (step @p68 :rule bool-and-de-morgan :args (@t17 @t4 true))
% 0.32/0.99  (step @p69 :rule nary_cong :premises (@p56 @p68) :args ((or @t552 (not (and @t17 @t4)))))
% 0.32/0.99  (step @p70 :rule bool-and-de-morgan :args (@t4 @t17 (and @t4)))
% 0.32/0.99  (step @p71 :rule trans :premises (@p70 @p69))
% 0.32/0.99  (step @p72 :rule trans :premises (@p71 @p67))
% 0.32/0.99  (step @p73 :rule trans :premises (@p72 @p66))
% 0.32/0.99  (step @p74 :rule nary_cong :premises (@p58 @p57 @p73) :args (@t18))
% 0.32/0.99  (step @p75 :rule trans :premises (@p74 @p65))
% 0.32/0.99  (step @p76 :rule cong :premises (@p75) :args (@t19))
% 0.32/0.99  (step @p77 :rule refl :args (@t2))
% 0.32/0.99  (step @p78 :rule refl :args (@t12))
% 0.32/0.99  (step @p79 :rule refl :args (@t13))
% 0.32/0.99  (step @p80 :rule nary_cong :premises (@p79 @p78 @p77 @p76) :args (@t20))
% 0.32/0.99  (step @p81 :rule cong :premises (@p80) :args (@t21))
% 0.32/0.99  (step @p82 :rule trans :premises (@p81 @p64))
% 0.32/0.99  (step @p83 :rule aci_norm :args ((= @t564 @t319)))
% 0.32/0.99  (step @p84 :rule cong :premises (@p83) :args (@t565))
% 0.32/0.99  (step @p85 :rule quant-merge-prenex :args ((= (forall @t15 @t567) @t565)))
% 0.32/0.99  (step @p86 :rule refl :args (@t317))
% 0.32/0.99  (step @p87 :rule alpha_equiv :args (@t568 (@list @t312) @t550))
% 0.32/0.99  (step @p88 :rule nary_cong :premises (@p30 @p87 @p27 @p21 @p86) :args (@t569))
% 0.32/0.99  (step @p89 :rule quant-miniscope-or :args ((= @t567 @t569)))
% 0.32/0.99  (step @p90 :rule trans :premises (@p89 @p88))
% 0.32/0.99  (step @p91 :rule symm :premises (@p90))
% 0.32/0.99  (step @p92 :rule cong :premises (@p91) :args ((forall @t15 @t574)))
% 0.32/0.99  (step @p93 :rule trans :premises (@p92 @p85))
% 0.32/0.99  (step @p94 :rule trans :premises (@p93 @p84))
% 0.32/0.99  (step @p95 :rule aci_norm :args ((= (or @t13 @t573 @t9 @t541) @t574)))
% 0.32/0.99  (step @p96 :rule refl :args (@t573))
% 0.32/0.99  (step @p97 :rule nary_cong :premises (@p30 @p96 @p27 @p26) :args (@t575))
% 0.32/0.99  (step @p98 :rule trans :premises (@p97 @p95))
% 0.32/0.99  (step @p99 :rule cong :premises (@p98) :args ((forall @t15 @t575)))
% 0.32/0.99  (step @p100 :rule trans :premises (@p99 @p94))
% 0.32/0.99  (step @p101 :rule refl :args (@t8))
% 0.32/0.99  (step @p102 :rule refl :args (@t9))
% 0.32/0.99  (step @p103 :rule aci_norm :args ((= (or @t5 (or @t571 @t570) @t4) @t572)))
% 0.32/0.99  (step @p104 :rule refl :args (@t4))
% 0.32/0.99  (step @p105 :rule bool-and-de-morgan :args (@t10 @t25 true))
% 0.32/0.99  (step @p106 :rule nary_cong :premises (@p58 @p105 @p104) :args (@t26))
% 0.32/0.99  (step @p107 :rule trans :premises (@p106 @p103))
% 0.32/0.99  (step @p108 :rule cong :premises (@p107) :args (@t27))
% 0.32/0.99  (step @p109 :rule nary_cong :premises (@p79 @p108 @p102 @p101) :args (@t28))
% 0.32/0.99  (step @p110 :rule cong :premises (@p109) :args (@t29))
% 0.32/0.99  (step @p111 :rule trans :premises (@p110 @p100))
% 0.32/0.99  (step @p112 :rule nary_cong :premises (@p111 @p82 @p34) :args (@t30))
% 0.32/0.99  (step @p113 :rule trans :premises (@p112 @p13))
% 0.32/0.99  (step @p114 :rule cong :premises (@p113) :args (@t31))
% 0.32/0.99  (step @p115 :rule aci_norm :args ((= (or @t13 @t9 @t541) @t323)))
% 0.32/0.99  (step @p116 :rule nary_cong :premises (@p30 @p27 @p26) :args (@t32))
% 0.32/0.99  (step @p117 :rule trans :premises (@p116 @p115))
% 0.32/0.99  (step @p118 :rule cong :premises (@p117) :args (@t33))
% 0.32/0.99  (step @p119 :rule aci_norm :args ((= (or @t13 @t542 @t2) @t324)))
% 0.32/0.99  (step @p120 :rule nary_cong :premises (@p30 @p29 @p28) :args (@t34))
% 0.32/0.99  (step @p121 :rule trans :premises (@p120 @p119))
% 0.32/0.99  (step @p122 :rule cong :premises (@p121) :args (@t35))
% 0.32/0.99  (step @p123 :rule nary_cong :premises (@p122 @p118 @p114) :args (@t36))
% 0.32/0.99  (step @p124 :rule cong :premises (@p123) :args (@t37))
% 0.32/0.99  (step @p125 :rule aci_norm :args ((= (and @t345 @t337 true) @t346)))
% 0.32/0.99  (step @p126 :rule bool-or-taut2 :args ((or @t13) @t39 (or @t333 @t9) (or @t308 @t307)))
% 0.32/0.99  (step @p127 :rule aci_norm :args ((= (or @t13 @t576 @t9 @t39 @t542) (or @t13 @t334 @t333 @t9 @t39 @t308 @t307))))
% 0.32/0.99  (step @p128 :rule trans :premises (@p127 @p126))
% 0.32/0.99  (step @p129 :rule aci_norm :args ((= @t577 @t542)))
% 0.32/0.99  (step @p130 :rule aci_norm :args ((= (or @t308 (or @t307 @t308)) @t577)))
% 0.32/0.99  (step @p131 :rule bool-and-de-morgan :args (@t11 @t9 true))
% 0.32/0.99  (step @p132 :rule nary_cong :premises (@p40 @p131) :args ((or @t308 (not (and @t11 @t9)))))
% 0.32/0.99  (step @p133 :rule bool-and-de-morgan :args (@t9 @t11 (and @t9)))
% 0.32/0.99  (step @p134 :rule trans :premises (@p133 @p132))
% 0.32/0.99  (step @p135 :rule trans :premises (@p134 @p130))
% 0.32/0.99  (step @p136 :rule trans :premises (@p135 @p129))
% 0.32/0.99  (step @p137 :rule refl :args (@t39))
% 0.32/0.99  (step @p138 :rule bool-and-de-morgan :args (@t39 @t41 true))
% 0.32/0.99  (step @p139 :rule nary_cong :premises (@p30 @p138 @p27 @p137 @p136) :args (@t43))
% 0.32/0.99  (step @p140 :rule trans :premises (@p139 @p128))
% 0.32/0.99  (step @p141 :rule cong :premises (@p140) :args (@t44))
% 0.32/0.99  (step @p142 :rule trans :premises (@p141 @p14))
% 0.32/0.99  (step @p143 :rule aci_norm :args ((= @t579 @t335)))
% 0.32/0.99  (step @p144 :rule cong :premises (@p143) :args (@t580))
% 0.32/0.99  (step @p145 :rule quant-merge-prenex :args ((= (forall @t15 @t582) @t580)))
% 0.32/0.99  (step @p146 :rule alpha_equiv :args (@t583 (@list @t327) @t550))
% 0.32/0.99  (step @p147 :rule refl :args (@t333))
% 0.32/0.99  (step @p148 :rule refl :args (@t334))
% 0.32/0.99  (step @p149 :rule nary_cong :premises (@p30 @p148 @p147 @p27 @p146) :args (@t584))
% 0.32/0.99  (step @p150 :rule quant-miniscope-or :args ((= @t582 @t584)))
% 0.32/0.99  (step @p151 :rule trans :premises (@p150 @p149))
% 0.32/0.99  (step @p152 :rule symm :premises (@p151))
% 0.32/0.99  (step @p153 :rule cong :premises (@p152) :args ((forall @t15 @t586)))
% 0.32/0.99  (step @p154 :rule trans :premises (@p153 @p145))
% 0.32/0.99  (step @p155 :rule trans :premises (@p154 @p144))
% 0.32/0.99  (step @p156 :rule aci_norm :args ((= (or @t13 @t576 @t9 @t585) @t586)))
% 0.32/0.99  (step @p157 :rule refl :args (@t585))
% 0.32/0.99  (step @p158 :rule nary_cong :premises (@p30 @p138 @p27 @p157) :args (@t587))
% 0.32/0.99  (step @p159 :rule trans :premises (@p158 @p156))
% 0.32/0.99  (step @p160 :rule cong :premises (@p159) :args ((forall @t15 @t587)))
% 0.32/0.99  (step @p161 :rule trans :premises (@p160 @p155))
% 0.32/0.99  (step @p162 :rule alpha_equiv :args (@t45 @t556 (@list @t325)))
% 0.32/0.99  (step @p163 :rule cong :premises (@p162) :args (@t588))
% 0.32/0.99  (step @p164 :rule refl :args (@t571))
% 0.32/0.99  (step @p165 :rule refl :args (@t40))
% 0.32/0.99  (step @p166 :rule nary_cong :premises (@p58 @p165 @p164 @p163) :args (@t589))
% 0.32/0.99  (step @p167 :rule cong :premises (@p166) :args (@t590))
% 0.32/0.99  (step @p168 :rule refl :args (@t42))
% 0.32/0.99  (step @p169 :rule nary_cong :premises (@p30 @p168 @p27 @p167) :args (@t591))
% 0.32/0.99  (step @p170 :rule cong :premises (@p169) :args ((forall @t15 @t591)))
% 0.32/0.99  (step @p171 :rule trans :premises (@p170 @p161))
% 0.32/0.99  (step @p172 :rule aci_norm :args ((= (or @t5 @t40 @t592) @t589)))
% 0.32/0.99  (step @p173 :rule aci_norm :args ((= @t593 @t592)))
% 0.32/0.99  (step @p174 :rule aci_norm :args ((= (or @t571 (or @t588 @t571)) @t593)))
% 0.32/0.99  (step @p175 :rule bool-and-de-morgan :args (@t45 @t10 true))
% 0.32/0.99  (step @p176 :rule nary_cong :premises (@p164 @p175) :args ((or @t571 (not (and @t45 @t10)))))
% 0.32/0.99  (step @p177 :rule bool-and-de-morgan :args (@t10 @t45 (and @t10)))
% 0.32/0.99  (step @p178 :rule trans :premises (@p177 @p176))
% 0.32/0.99  (step @p179 :rule trans :premises (@p178 @p174))
% 0.32/0.99  (step @p180 :rule trans :premises (@p179 @p173))
% 0.32/0.99  (step @p181 :rule nary_cong :premises (@p58 @p165 @p180) :args (@t46))
% 0.32/0.99  (step @p182 :rule trans :premises (@p181 @p172))
% 0.32/0.99  (step @p183 :rule cong :premises (@p182) :args (@t47))
% 0.32/0.99  (step @p184 :rule refl :args (@t42))
% 0.32/0.99  (step @p185 :rule nary_cong :premises (@p79 @p184 @p102 @p183) :args (@t48))
% 0.32/0.99  (step @p186 :rule cong :premises (@p185) :args (@t49))
% 0.32/0.99  (step @p187 :rule trans :premises (@p186 @p171))
% 0.32/0.99  (step @p188 :rule aci_norm :args ((= @t595 @t343)))
% 0.32/0.99  (step @p189 :rule cong :premises (@p188) :args (@t596))
% 0.32/0.99  (step @p190 :rule quant-merge-prenex :args ((= (forall @t15 @t598) @t596)))
% 0.32/0.99  (step @p191 :rule alpha_equiv :args (@t599 (@list @t338) @t550))
% 0.32/0.99  (step @p192 :rule nary_cong :premises (@p30 @p191 @p137 @p40 @p39) :args (@t600))
% 0.32/0.99  (step @p193 :rule quant-miniscope-or :args ((= @t598 @t600)))
% 0.32/0.99  (step @p194 :rule trans :premises (@p193 @p192))
% 0.32/0.99  (step @p195 :rule symm :premises (@p194))
% 0.32/0.99  (step @p196 :rule cong :premises (@p195) :args ((forall @t15 @t605)))
% 0.32/0.99  (step @p197 :rule trans :premises (@p196 @p190))
% 0.32/0.99  (step @p198 :rule trans :premises (@p197 @p189))
% 0.32/0.99  (step @p199 :rule aci_norm :args ((= (or @t13 @t604 @t39 @t542) @t605)))
% 0.32/0.99  (step @p200 :rule refl :args (@t604))
% 0.32/0.99  (step @p201 :rule nary_cong :premises (@p30 @p200 @p137 @p136) :args (@t606))
% 0.32/0.99  (step @p202 :rule trans :premises (@p201 @p199))
% 0.32/0.99  (step @p203 :rule cong :premises (@p202) :args ((forall @t15 @t606)))
% 0.32/0.99  (step @p204 :rule trans :premises (@p203 @p198))
% 0.32/0.99  (step @p205 :rule refl :args (@t38))
% 0.32/0.99  (step @p206 :rule refl :args (@t39))
% 0.32/0.99  (step @p207 :rule aci_norm :args ((= (or @t5 (or @t602 @t601) @t10) @t603)))
% 0.32/0.99  (step @p208 :rule bool-and-de-morgan :args (@t40 @t53 true))
% 0.32/0.99  (step @p209 :rule nary_cong :premises (@p58 @p208 @p57) :args (@t54))
% 0.32/0.99  (step @p210 :rule trans :premises (@p209 @p207))
% 0.32/0.99  (step @p211 :rule cong :premises (@p210) :args (@t55))
% 0.32/0.99  (step @p212 :rule nary_cong :premises (@p79 @p211 @p206 @p205) :args (@t56))
% 0.32/0.99  (step @p213 :rule cong :premises (@p212) :args (@t57))
% 0.32/0.99  (step @p214 :rule trans :premises (@p213 @p204))
% 0.32/0.99  (step @p215 :rule nary_cong :premises (@p214 @p187 @p142) :args (@t58))
% 0.32/0.99  (step @p216 :rule trans :premises (@p215 @p125))
% 0.32/0.99  (step @p217 :rule cong :premises (@p216) :args (@t59))
% 0.32/0.99  (step @p218 :rule aci_norm :args ((= (or @t13 @t39 @t542) @t347)))
% 0.32/0.99  (step @p219 :rule nary_cong :premises (@p30 @p137 @p136) :args (@t60))
% 0.32/0.99  (step @p220 :rule trans :premises (@p219 @p218))
% 0.32/0.99  (step @p221 :rule cong :premises (@p220) :args (@t61))
% 0.32/0.99  (step @p222 :rule aci_norm :args ((= (or @t13 @t576 @t9) @t348)))
% 0.32/0.99  (step @p223 :rule nary_cong :premises (@p30 @p138 @p27) :args (@t62))
% 0.32/0.99  (step @p224 :rule trans :premises (@p223 @p222))
% 0.32/0.99  (step @p225 :rule cong :premises (@p224) :args (@t63))
% 0.32/0.99  (step @p226 :rule nary_cong :premises (@p225 @p221 @p217) :args (@t64))
% 0.32/0.99  (step @p227 :rule cong :premises (@p226) :args (@t65))
% 0.32/0.99  (step @p228 :rule aci_norm :args ((= (and @t369 @t361 true) @t370)))
% 0.32/0.99  (step @p229 :rule bool-or-taut2 :args ((or @t13) @t67 (or @t357 @t39) (or @t334 @t333)))
% 0.32/0.99  (step @p230 :rule aci_norm :args ((= (or @t13 @t607 @t39 @t67 @t576) (or @t13 @t358 @t357 @t39 @t67 @t334 @t333))))
% 0.32/0.99  (step @p231 :rule trans :premises (@p230 @p229))
% 0.32/0.99  (step @p232 :rule aci_norm :args ((= @t608 @t576)))
% 0.32/0.99  (step @p233 :rule aci_norm :args ((= (or @t334 (or @t333 @t334)) @t608)))
% 0.32/0.99  (step @p234 :rule bool-and-de-morgan :args (@t41 @t39 true))
% 0.32/0.99  (step @p235 :rule nary_cong :premises (@p148 @p234) :args ((or @t334 (not (and @t41 @t39)))))
% 0.32/0.99  (step @p236 :rule bool-and-de-morgan :args (@t39 @t41 (and @t39)))
% 0.32/0.99  (step @p237 :rule trans :premises (@p236 @p235))
% 0.32/0.99  (step @p238 :rule trans :premises (@p237 @p233))
% 0.32/0.99  (step @p239 :rule trans :premises (@p238 @p232))
% 0.32/0.99  (step @p240 :rule refl :args (@t67))
% 0.32/0.99  (step @p241 :rule bool-and-de-morgan :args (@t67 @t69 true))
% 0.32/0.99  (step @p242 :rule nary_cong :premises (@p30 @p241 @p137 @p240 @p239) :args (@t71))
% 0.32/0.99  (step @p243 :rule trans :premises (@p242 @p231))
% 0.32/0.99  (step @p244 :rule cong :premises (@p243) :args (@t72))
% 0.32/0.99  (step @p245 :rule trans :premises (@p244 @p14))
% 0.32/0.99  (step @p246 :rule aci_norm :args ((= @t610 @t359)))
% 0.32/0.99  (step @p247 :rule cong :premises (@p246) :args (@t611))
% 0.32/0.99  (step @p248 :rule quant-merge-prenex :args ((= (forall @t15 @t613) @t611)))
% 0.32/0.99  (step @p249 :rule alpha_equiv :args (@t614 (@list @t351) @t550))
% 0.32/0.99  (step @p250 :rule refl :args (@t357))
% 0.32/0.99  (step @p251 :rule refl :args (@t358))
% 0.32/0.99  (step @p252 :rule nary_cong :premises (@p30 @p251 @p250 @p137 @p249) :args (@t615))
% 0.32/0.99  (step @p253 :rule quant-miniscope-or :args ((= @t613 @t615)))
% 0.32/0.99  (step @p254 :rule trans :premises (@p253 @p252))
% 0.32/0.99  (step @p255 :rule symm :premises (@p254))
% 0.32/0.99  (step @p256 :rule cong :premises (@p255) :args ((forall @t15 @t617)))
% 0.32/0.99  (step @p257 :rule trans :premises (@p256 @p248))
% 0.32/0.99  (step @p258 :rule trans :premises (@p257 @p247))
% 0.32/0.99  (step @p259 :rule aci_norm :args ((= (or @t13 @t607 @t39 @t616) @t617)))
% 0.32/0.99  (step @p260 :rule refl :args (@t616))
% 0.32/0.99  (step @p261 :rule nary_cong :premises (@p30 @p241 @p137 @p260) :args (@t618))
% 0.32/0.99  (step @p262 :rule trans :premises (@p261 @p259))
% 0.32/0.99  (step @p263 :rule cong :premises (@p262) :args ((forall @t15 @t618)))
% 0.32/0.99  (step @p264 :rule trans :premises (@p263 @p258))
% 0.32/0.99  (step @p265 :rule alpha_equiv :args (@t73 @t556 (@list @t349)))
% 0.32/0.99  (step @p266 :rule cong :premises (@p265) :args (@t619))
% 0.32/0.99  (step @p267 :rule refl :args (@t602))
% 0.32/0.99  (step @p268 :rule refl :args (@t68))
% 0.32/0.99  (step @p269 :rule nary_cong :premises (@p58 @p268 @p267 @p266) :args (@t620))
% 0.32/0.99  (step @p270 :rule cong :premises (@p269) :args (@t621))
% 0.32/0.99  (step @p271 :rule refl :args (@t70))
% 0.32/0.99  (step @p272 :rule nary_cong :premises (@p30 @p271 @p137 @p270) :args (@t622))
% 0.32/0.99  (step @p273 :rule cong :premises (@p272) :args ((forall @t15 @t622)))
% 0.32/0.99  (step @p274 :rule trans :premises (@p273 @p264))
% 0.32/0.99  (step @p275 :rule aci_norm :args ((= (or @t5 @t68 @t623) @t620)))
% 0.32/0.99  (step @p276 :rule aci_norm :args ((= @t624 @t623)))
% 0.32/0.99  (step @p277 :rule aci_norm :args ((= (or @t602 (or @t619 @t602)) @t624)))
% 0.32/0.99  (step @p278 :rule bool-and-de-morgan :args (@t73 @t40 true))
% 0.32/0.99  (step @p279 :rule nary_cong :premises (@p267 @p278) :args ((or @t602 (not (and @t73 @t40)))))
% 0.32/0.99  (step @p280 :rule bool-and-de-morgan :args (@t40 @t73 (and @t40)))
% 0.32/0.99  (step @p281 :rule trans :premises (@p280 @p279))
% 0.32/0.99  (step @p282 :rule trans :premises (@p281 @p277))
% 0.32/0.99  (step @p283 :rule trans :premises (@p282 @p276))
% 0.32/0.99  (step @p284 :rule nary_cong :premises (@p58 @p268 @p283) :args (@t74))
% 0.32/0.99  (step @p285 :rule trans :premises (@p284 @p275))
% 0.32/0.99  (step @p286 :rule cong :premises (@p285) :args (@t75))
% 0.32/0.99  (step @p287 :rule refl :args (@t70))
% 0.32/0.99  (step @p288 :rule nary_cong :premises (@p79 @p287 @p206 @p286) :args (@t76))
% 0.32/0.99  (step @p289 :rule cong :premises (@p288) :args (@t77))
% 0.32/0.99  (step @p290 :rule trans :premises (@p289 @p274))
% 0.32/0.99  (step @p291 :rule aci_norm :args ((= @t626 @t367)))
% 0.32/0.99  (step @p292 :rule cong :premises (@p291) :args (@t627))
% 0.32/0.99  (step @p293 :rule quant-merge-prenex :args ((= (forall @t15 @t629) @t627)))
% 0.32/0.99  (step @p294 :rule alpha_equiv :args (@t630 (@list @t362) @t550))
% 0.32/0.99  (step @p295 :rule nary_cong :premises (@p30 @p294 @p240 @p148 @p147) :args (@t631))
% 0.32/0.99  (step @p296 :rule quant-miniscope-or :args ((= @t629 @t631)))
% 0.32/0.99  (step @p297 :rule trans :premises (@p296 @p295))
% 0.32/0.99  (step @p298 :rule symm :premises (@p297))
% 0.32/0.99  (step @p299 :rule cong :premises (@p298) :args ((forall @t15 @t636)))
% 0.32/0.99  (step @p300 :rule trans :premises (@p299 @p293))
% 0.32/0.99  (step @p301 :rule trans :premises (@p300 @p292))
% 0.32/0.99  (step @p302 :rule aci_norm :args ((= (or @t13 @t635 @t67 @t576) @t636)))
% 0.32/0.99  (step @p303 :rule refl :args (@t635))
% 0.32/0.99  (step @p304 :rule nary_cong :premises (@p30 @p303 @p240 @p239) :args (@t637))
% 0.32/0.99  (step @p305 :rule trans :premises (@p304 @p302))
% 0.32/0.99  (step @p306 :rule cong :premises (@p305) :args ((forall @t15 @t637)))
% 0.32/0.99  (step @p307 :rule trans :premises (@p306 @p301))
% 0.32/0.99  (step @p308 :rule refl :args (@t66))
% 0.32/0.99  (step @p309 :rule refl :args (@t67))
% 0.32/0.99  (step @p310 :rule aci_norm :args ((= (or @t5 (or @t633 @t632) @t40) @t634)))
% 0.32/0.99  (step @p311 :rule bool-and-de-morgan :args (@t68 @t81 true))
% 0.32/0.99  (step @p312 :rule nary_cong :premises (@p58 @p311 @p165) :args (@t82))
% 0.32/0.99  (step @p313 :rule trans :premises (@p312 @p310))
% 0.32/0.99  (step @p314 :rule cong :premises (@p313) :args (@t83))
% 0.32/0.99  (step @p315 :rule nary_cong :premises (@p79 @p314 @p309 @p308) :args (@t84))
% 0.32/0.99  (step @p316 :rule cong :premises (@p315) :args (@t85))
% 0.32/0.99  (step @p317 :rule trans :premises (@p316 @p307))
% 0.32/0.99  (step @p318 :rule nary_cong :premises (@p317 @p290 @p245) :args (@t86))
% 0.32/0.99  (step @p319 :rule trans :premises (@p318 @p228))
% 0.32/0.99  (step @p320 :rule cong :premises (@p319) :args (@t87))
% 0.32/0.99  (step @p321 :rule aci_norm :args ((= (or @t13 @t67 @t576) @t371)))
% 0.32/0.99  (step @p322 :rule nary_cong :premises (@p30 @p240 @p239) :args (@t88))
% 0.32/0.99  (step @p323 :rule trans :premises (@p322 @p321))
% 0.32/0.99  (step @p324 :rule cong :premises (@p323) :args (@t89))
% 0.32/0.99  (step @p325 :rule aci_norm :args ((= (or @t13 @t607 @t39) @t372)))
% 0.32/0.99  (step @p326 :rule nary_cong :premises (@p30 @p241 @p137) :args (@t90))
% 0.32/0.99  (step @p327 :rule trans :premises (@p326 @p325))
% 0.32/0.99  (step @p328 :rule cong :premises (@p327) :args (@t91))
% 0.32/0.99  (step @p329 :rule nary_cong :premises (@p328 @p324 @p320) :args (@t92))
% 0.32/0.99  (step @p330 :rule cong :premises (@p329) :args (@t93))
% 0.32/0.99  (step @p331 :rule bool-or-taut :args ((or @t13) @t94 (or @t501) false))
% 0.32/0.99  (step @p332 :rule aci_norm :args ((= (or @t13 @t94 @t638) (or @t13 @t94 @t501 @t502))))
% 0.32/0.99  (step @p333 :rule trans :premises (@p332 @p331))
% 0.32/0.99  (step @p334 :rule bool-and-de-morgan :args (@t96 @t94 true))
% 0.32/0.99  (step @p335 :rule refl :args (@t94))
% 0.32/0.99  (step @p336 :rule nary_cong :premises (@p30 @p335 @p334) :args (@t98))
% 0.32/0.99  (step @p337 :rule trans :premises (@p336 @p333))
% 0.32/0.99  (step @p338 :rule cong :premises (@p337) :args (@t99))
% 0.32/0.99  (step @p339 :rule trans :premises (@p338 @p14))
% 0.32/0.99  (step @p340 :rule aci_norm :args ((= (and @t393 @t385 true) @t394)))
% 0.32/0.99  (step @p341 :rule bool-or-taut2 :args ((or @t13) @t101 (or @t381 @t67) (or @t358 @t357)))
% 0.32/0.99  (step @p342 :rule aci_norm :args ((= (or @t13 @t639 @t67 @t101 @t607) (or @t13 @t382 @t381 @t67 @t101 @t358 @t357))))
% 0.32/0.99  (step @p343 :rule trans :premises (@p342 @p341))
% 0.32/0.99  (step @p344 :rule aci_norm :args ((= @t640 @t607)))
% 0.32/0.99  (step @p345 :rule aci_norm :args ((= (or @t358 (or @t357 @t358)) @t640)))
% 0.32/0.99  (step @p346 :rule bool-and-de-morgan :args (@t69 @t67 true))
% 0.32/0.99  (step @p347 :rule nary_cong :premises (@p251 @p346) :args ((or @t358 (not (and @t69 @t67)))))
% 0.32/0.99  (step @p348 :rule bool-and-de-morgan :args (@t67 @t69 (and @t67)))
% 0.32/0.99  (step @p349 :rule trans :premises (@p348 @p347))
% 0.32/0.99  (step @p350 :rule trans :premises (@p349 @p345))
% 0.32/0.99  (step @p351 :rule trans :premises (@p350 @p344))
% 0.32/0.99  (step @p352 :rule refl :args (@t101))
% 0.32/0.99  (step @p353 :rule bool-and-de-morgan :args (@t101 @t103 true))
% 0.32/0.99  (step @p354 :rule nary_cong :premises (@p30 @p353 @p240 @p352 @p351) :args (@t105))
% 0.32/0.99  (step @p355 :rule trans :premises (@p354 @p343))
% 0.32/0.99  (step @p356 :rule cong :premises (@p355) :args (@t106))
% 0.32/0.99  (step @p357 :rule trans :premises (@p356 @p14))
% 0.32/0.99  (step @p358 :rule aci_norm :args ((= @t642 @t383)))
% 0.32/0.99  (step @p359 :rule cong :premises (@p358) :args (@t643))
% 0.32/0.99  (step @p360 :rule quant-merge-prenex :args ((= (forall @t15 @t645) @t643)))
% 0.32/0.99  (step @p361 :rule alpha_equiv :args (@t646 (@list @t375) @t550))
% 0.32/0.99  (step @p362 :rule refl :args (@t381))
% 0.32/0.99  (step @p363 :rule refl :args (@t382))
% 0.32/0.99  (step @p364 :rule nary_cong :premises (@p30 @p363 @p362 @p240 @p361) :args (@t647))
% 0.32/0.99  (step @p365 :rule quant-miniscope-or :args ((= @t645 @t647)))
% 0.32/0.99  (step @p366 :rule trans :premises (@p365 @p364))
% 0.32/0.99  (step @p367 :rule symm :premises (@p366))
% 0.32/0.99  (step @p368 :rule cong :premises (@p367) :args ((forall @t15 @t649)))
% 0.32/0.99  (step @p369 :rule trans :premises (@p368 @p360))
% 0.32/0.99  (step @p370 :rule trans :premises (@p369 @p359))
% 0.32/0.99  (step @p371 :rule aci_norm :args ((= (or @t13 @t639 @t67 @t648) @t649)))
% 0.32/0.99  (step @p372 :rule refl :args (@t648))
% 0.32/0.99  (step @p373 :rule nary_cong :premises (@p30 @p353 @p240 @p372) :args (@t650))
% 0.32/0.99  (step @p374 :rule trans :premises (@p373 @p371))
% 0.32/0.99  (step @p375 :rule cong :premises (@p374) :args ((forall @t15 @t650)))
% 0.32/0.99  (step @p376 :rule trans :premises (@p375 @p370))
% 0.32/0.99  (step @p377 :rule alpha_equiv :args (@t107 @t556 (@list @t373)))
% 0.32/0.99  (step @p378 :rule cong :premises (@p377) :args (@t651))
% 0.32/0.99  (step @p379 :rule refl :args (@t633))
% 0.32/0.99  (step @p380 :rule refl :args (@t102))
% 0.32/0.99  (step @p381 :rule nary_cong :premises (@p58 @p380 @p379 @p378) :args (@t652))
% 0.32/0.99  (step @p382 :rule cong :premises (@p381) :args (@t653))
% 0.32/0.99  (step @p383 :rule refl :args (@t104))
% 0.32/0.99  (step @p384 :rule nary_cong :premises (@p30 @p383 @p240 @p382) :args (@t654))
% 0.32/0.99  (step @p385 :rule cong :premises (@p384) :args ((forall @t15 @t654)))
% 0.32/0.99  (step @p386 :rule trans :premises (@p385 @p376))
% 0.32/0.99  (step @p387 :rule aci_norm :args ((= (or @t5 @t102 @t655) @t652)))
% 0.32/0.99  (step @p388 :rule aci_norm :args ((= @t656 @t655)))
% 0.32/0.99  (step @p389 :rule aci_norm :args ((= (or @t633 (or @t651 @t633)) @t656)))
% 0.32/0.99  (step @p390 :rule bool-and-de-morgan :args (@t107 @t68 true))
% 0.32/0.99  (step @p391 :rule nary_cong :premises (@p379 @p390) :args ((or @t633 (not (and @t107 @t68)))))
% 0.32/0.99  (step @p392 :rule bool-and-de-morgan :args (@t68 @t107 (and @t68)))
% 0.32/0.99  (step @p393 :rule trans :premises (@p392 @p391))
% 0.32/0.99  (step @p394 :rule trans :premises (@p393 @p389))
% 0.32/0.99  (step @p395 :rule trans :premises (@p394 @p388))
% 0.32/0.99  (step @p396 :rule nary_cong :premises (@p58 @p380 @p395) :args (@t108))
% 0.32/0.99  (step @p397 :rule trans :premises (@p396 @p387))
% 0.32/0.99  (step @p398 :rule cong :premises (@p397) :args (@t109))
% 0.32/0.99  (step @p399 :rule refl :args (@t104))
% 0.32/0.99  (step @p400 :rule nary_cong :premises (@p79 @p399 @p309 @p398) :args (@t110))
% 0.32/0.99  (step @p401 :rule cong :premises (@p400) :args (@t111))
% 0.32/0.99  (step @p402 :rule trans :premises (@p401 @p386))
% 0.32/0.99  (step @p403 :rule aci_norm :args ((= @t658 @t391)))
% 0.32/0.99  (step @p404 :rule cong :premises (@p403) :args (@t659))
% 0.32/0.99  (step @p405 :rule quant-merge-prenex :args ((= (forall @t15 @t661) @t659)))
% 0.32/0.99  (step @p406 :rule alpha_equiv :args (@t662 (@list @t386) @t550))
% 0.32/0.99  (step @p407 :rule nary_cong :premises (@p30 @p406 @p352 @p251 @p250) :args (@t663))
% 0.32/0.99  (step @p408 :rule quant-miniscope-or :args ((= @t661 @t663)))
% 0.32/0.99  (step @p409 :rule trans :premises (@p408 @p407))
% 0.32/0.99  (step @p410 :rule symm :premises (@p409))
% 0.32/0.99  (step @p411 :rule cong :premises (@p410) :args ((forall @t15 @t668)))
% 0.32/0.99  (step @p412 :rule trans :premises (@p411 @p405))
% 0.32/0.99  (step @p413 :rule trans :premises (@p412 @p404))
% 0.32/0.99  (step @p414 :rule aci_norm :args ((= (or @t13 @t667 @t101 @t607) @t668)))
% 0.32/0.99  (step @p415 :rule refl :args (@t667))
% 0.32/0.99  (step @p416 :rule nary_cong :premises (@p30 @p415 @p352 @p351) :args (@t669))
% 0.32/0.99  (step @p417 :rule trans :premises (@p416 @p414))
% 0.32/0.99  (step @p418 :rule cong :premises (@p417) :args ((forall @t15 @t669)))
% 0.32/0.99  (step @p419 :rule trans :premises (@p418 @p413))
% 0.32/0.99  (step @p420 :rule refl :args (@t100))
% 0.32/0.99  (step @p421 :rule refl :args (@t101))
% 0.32/0.99  (step @p422 :rule aci_norm :args ((= (or @t5 (or @t665 @t664) @t68) @t666)))
% 0.32/0.99  (step @p423 :rule bool-and-de-morgan :args (@t102 @t115 true))
% 0.32/0.99  (step @p424 :rule nary_cong :premises (@p58 @p423 @p268) :args (@t116))
% 0.32/0.99  (step @p425 :rule trans :premises (@p424 @p422))
% 0.32/0.99  (step @p426 :rule cong :premises (@p425) :args (@t117))
% 0.32/0.99  (step @p427 :rule nary_cong :premises (@p79 @p426 @p421 @p420) :args (@t118))
% 0.32/0.99  (step @p428 :rule cong :premises (@p427) :args (@t119))
% 0.32/0.99  (step @p429 :rule trans :premises (@p428 @p419))
% 0.32/0.99  (step @p430 :rule nary_cong :premises (@p429 @p402 @p357) :args (@t120))
% 0.32/0.99  (step @p431 :rule trans :premises (@p430 @p340))
% 0.32/0.99  (step @p432 :rule cong :premises (@p431) :args (@t121))
% 0.32/0.99  (step @p433 :rule aci_norm :args ((= (or @t13 @t101 @t607) @t395)))
% 0.32/0.99  (step @p434 :rule nary_cong :premises (@p30 @p352 @p351) :args (@t122))
% 0.32/0.99  (step @p435 :rule trans :premises (@p434 @p433))
% 0.32/0.99  (step @p436 :rule cong :premises (@p435) :args (@t123))
% 0.32/0.99  (step @p437 :rule aci_norm :args ((= (or @t13 @t639 @t67) @t396)))
% 0.32/0.99  (step @p438 :rule nary_cong :premises (@p30 @p353 @p240) :args (@t124))
% 0.32/0.99  (step @p439 :rule trans :premises (@p438 @p437))
% 0.32/0.99  (step @p440 :rule cong :premises (@p439) :args (@t125))
% 0.32/0.99  (step @p441 :rule nary_cong :premises (@p440 @p436 @p432) :args (@t126))
% 0.32/0.99  (step @p442 :rule cong :premises (@p441) :args (@t127))
% 0.32/0.99  (step @p443 :rule aci_norm :args ((= (and @t417 @t409 true) @t418)))
% 0.32/0.99  (step @p444 :rule bool-or-taut2 :args ((or @t13) @t129 (or @t405 @t101) (or @t382 @t381)))
% 0.32/0.99  (step @p445 :rule aci_norm :args ((= (or @t13 @t670 @t101 @t129 @t639) (or @t13 @t406 @t405 @t101 @t129 @t382 @t381))))
% 0.32/0.99  (step @p446 :rule trans :premises (@p445 @p444))
% 0.32/0.99  (step @p447 :rule aci_norm :args ((= @t671 @t639)))
% 0.32/0.99  (step @p448 :rule aci_norm :args ((= (or @t382 (or @t381 @t382)) @t671)))
% 0.32/0.99  (step @p449 :rule bool-and-de-morgan :args (@t103 @t101 true))
% 0.32/0.99  (step @p450 :rule nary_cong :premises (@p363 @p449) :args ((or @t382 (not (and @t103 @t101)))))
% 0.32/0.99  (step @p451 :rule bool-and-de-morgan :args (@t101 @t103 (and @t101)))
% 0.32/0.99  (step @p452 :rule trans :premises (@p451 @p450))
% 0.32/0.99  (step @p453 :rule trans :premises (@p452 @p448))
% 0.32/0.99  (step @p454 :rule trans :premises (@p453 @p447))
% 0.32/0.99  (step @p455 :rule refl :args (@t129))
% 0.32/0.99  (step @p456 :rule bool-and-de-morgan :args (@t129 @t131 true))
% 0.32/0.99  (step @p457 :rule nary_cong :premises (@p30 @p456 @p352 @p455 @p454) :args (@t133))
% 0.32/0.99  (step @p458 :rule trans :premises (@p457 @p446))
% 0.32/0.99  (step @p459 :rule cong :premises (@p458) :args (@t134))
% 0.32/0.99  (step @p460 :rule trans :premises (@p459 @p14))
% 0.32/0.99  (step @p461 :rule aci_norm :args ((= @t673 @t407)))
% 0.32/0.99  (step @p462 :rule cong :premises (@p461) :args (@t674))
% 0.32/0.99  (step @p463 :rule quant-merge-prenex :args ((= (forall @t15 @t676) @t674)))
% 0.32/0.99  (step @p464 :rule alpha_equiv :args (@t677 (@list @t399) @t550))
% 0.32/0.99  (step @p465 :rule refl :args (@t405))
% 0.32/0.99  (step @p466 :rule refl :args (@t406))
% 0.32/0.99  (step @p467 :rule nary_cong :premises (@p30 @p466 @p465 @p352 @p464) :args (@t678))
% 0.32/0.99  (step @p468 :rule quant-miniscope-or :args ((= @t676 @t678)))
% 0.32/0.99  (step @p469 :rule trans :premises (@p468 @p467))
% 0.32/0.99  (step @p470 :rule symm :premises (@p469))
% 0.32/0.99  (step @p471 :rule cong :premises (@p470) :args ((forall @t15 @t680)))
% 0.32/0.99  (step @p472 :rule trans :premises (@p471 @p463))
% 0.32/0.99  (step @p473 :rule trans :premises (@p472 @p462))
% 0.32/0.99  (step @p474 :rule aci_norm :args ((= (or @t13 @t670 @t101 @t679) @t680)))
% 0.32/0.99  (step @p475 :rule refl :args (@t679))
% 0.32/0.99  (step @p476 :rule nary_cong :premises (@p30 @p456 @p352 @p475) :args (@t681))
% 0.32/0.99  (step @p477 :rule trans :premises (@p476 @p474))
% 0.32/0.99  (step @p478 :rule cong :premises (@p477) :args ((forall @t15 @t681)))
% 0.32/0.99  (step @p479 :rule trans :premises (@p478 @p473))
% 0.32/0.99  (step @p480 :rule alpha_equiv :args (@t135 @t556 (@list @t397)))
% 0.32/0.99  (step @p481 :rule cong :premises (@p480) :args (@t682))
% 0.32/0.99  (step @p482 :rule refl :args (@t665))
% 0.32/0.99  (step @p483 :rule refl :args (@t130))
% 0.32/0.99  (step @p484 :rule nary_cong :premises (@p58 @p483 @p482 @p481) :args (@t683))
% 0.32/0.99  (step @p485 :rule cong :premises (@p484) :args (@t684))
% 0.32/0.99  (step @p486 :rule refl :args (@t132))
% 0.32/0.99  (step @p487 :rule nary_cong :premises (@p30 @p486 @p352 @p485) :args (@t685))
% 0.32/0.99  (step @p488 :rule cong :premises (@p487) :args ((forall @t15 @t685)))
% 0.32/0.99  (step @p489 :rule trans :premises (@p488 @p479))
% 0.32/0.99  (step @p490 :rule aci_norm :args ((= (or @t5 @t130 @t686) @t683)))
% 0.32/0.99  (step @p491 :rule aci_norm :args ((= @t687 @t686)))
% 0.32/0.99  (step @p492 :rule aci_norm :args ((= (or @t665 (or @t682 @t665)) @t687)))
% 0.32/0.99  (step @p493 :rule bool-and-de-morgan :args (@t135 @t102 true))
% 0.32/0.99  (step @p494 :rule nary_cong :premises (@p482 @p493) :args ((or @t665 (not (and @t135 @t102)))))
% 0.32/0.99  (step @p495 :rule bool-and-de-morgan :args (@t102 @t135 (and @t102)))
% 0.32/0.99  (step @p496 :rule trans :premises (@p495 @p494))
% 0.32/0.99  (step @p497 :rule trans :premises (@p496 @p492))
% 0.32/0.99  (step @p498 :rule trans :premises (@p497 @p491))
% 0.32/0.99  (step @p499 :rule nary_cong :premises (@p58 @p483 @p498) :args (@t136))
% 0.32/0.99  (step @p500 :rule trans :premises (@p499 @p490))
% 0.32/0.99  (step @p501 :rule cong :premises (@p500) :args (@t137))
% 0.32/0.99  (step @p502 :rule refl :args (@t132))
% 0.32/0.99  (step @p503 :rule nary_cong :premises (@p79 @p502 @p421 @p501) :args (@t138))
% 0.32/0.99  (step @p504 :rule cong :premises (@p503) :args (@t139))
% 0.32/0.99  (step @p505 :rule trans :premises (@p504 @p489))
% 0.32/0.99  (step @p506 :rule aci_norm :args ((= @t689 @t415)))
% 0.32/0.99  (step @p507 :rule cong :premises (@p506) :args (@t690))
% 0.32/0.99  (step @p508 :rule quant-merge-prenex :args ((= (forall @t15 @t692) @t690)))
% 0.32/0.99  (step @p509 :rule alpha_equiv :args (@t693 (@list @t410) @t550))
% 0.32/0.99  (step @p510 :rule nary_cong :premises (@p30 @p509 @p455 @p363 @p362) :args (@t694))
% 0.32/0.99  (step @p511 :rule quant-miniscope-or :args ((= @t692 @t694)))
% 0.32/0.99  (step @p512 :rule trans :premises (@p511 @p510))
% 0.32/0.99  (step @p513 :rule symm :premises (@p512))
% 0.32/0.99  (step @p514 :rule cong :premises (@p513) :args ((forall @t15 @t699)))
% 0.32/0.99  (step @p515 :rule trans :premises (@p514 @p508))
% 0.32/0.99  (step @p516 :rule trans :premises (@p515 @p507))
% 0.32/0.99  (step @p517 :rule aci_norm :args ((= (or @t13 @t698 @t129 @t639) @t699)))
% 0.32/0.99  (step @p518 :rule refl :args (@t698))
% 0.32/0.99  (step @p519 :rule nary_cong :premises (@p30 @p518 @p455 @p454) :args (@t700))
% 0.32/0.99  (step @p520 :rule trans :premises (@p519 @p517))
% 0.32/0.99  (step @p521 :rule cong :premises (@p520) :args ((forall @t15 @t700)))
% 0.32/0.99  (step @p522 :rule trans :premises (@p521 @p516))
% 0.32/0.99  (step @p523 :rule refl :args (@t128))
% 0.32/0.99  (step @p524 :rule refl :args (@t129))
% 0.32/0.99  (step @p525 :rule aci_norm :args ((= (or @t5 (or @t696 @t695) @t102) @t697)))
% 0.32/0.99  (step @p526 :rule bool-and-de-morgan :args (@t130 @t143 true))
% 0.32/0.99  (step @p527 :rule nary_cong :premises (@p58 @p526 @p380) :args (@t144))
% 0.32/0.99  (step @p528 :rule trans :premises (@p527 @p525))
% 0.32/0.99  (step @p529 :rule cong :premises (@p528) :args (@t145))
% 0.32/0.99  (step @p530 :rule nary_cong :premises (@p79 @p529 @p524 @p523) :args (@t146))
% 0.32/0.99  (step @p531 :rule cong :premises (@p530) :args (@t147))
% 0.32/0.99  (step @p532 :rule trans :premises (@p531 @p522))
% 0.32/0.99  (step @p533 :rule nary_cong :premises (@p532 @p505 @p460) :args (@t148))
% 0.32/0.99  (step @p534 :rule trans :premises (@p533 @p443))
% 0.32/0.99  (step @p535 :rule cong :premises (@p534) :args (@t149))
% 0.32/0.99  (step @p536 :rule aci_norm :args ((= (or @t13 @t129 @t639) @t419)))
% 0.32/0.99  (step @p537 :rule nary_cong :premises (@p30 @p455 @p454) :args (@t150))
% 0.32/0.99  (step @p538 :rule trans :premises (@p537 @p536))
% 0.32/0.99  (step @p539 :rule cong :premises (@p538) :args (@t151))
% 0.32/0.99  (step @p540 :rule aci_norm :args ((= (or @t13 @t670 @t101) @t420)))
% 0.32/0.99  (step @p541 :rule nary_cong :premises (@p30 @p456 @p352) :args (@t152))
% 0.32/0.99  (step @p542 :rule trans :premises (@p541 @p540))
% 0.32/0.99  (step @p543 :rule cong :premises (@p542) :args (@t153))
% 0.32/0.99  (step @p544 :rule nary_cong :premises (@p543 @p539 @p535) :args (@t154))
% 0.32/0.99  (step @p545 :rule cong :premises (@p544) :args (@t155))
% 0.32/0.99  (step @p546 :rule aci_norm :args ((= (and @t441 @t433 true) @t442)))
% 0.32/0.99  (step @p547 :rule bool-or-taut2 :args ((or @t13) @t157 (or @t429 @t129) (or @t406 @t405)))
% 0.32/0.99  (step @p548 :rule aci_norm :args ((= (or @t13 @t701 @t129 @t157 @t670) (or @t13 @t430 @t429 @t129 @t157 @t406 @t405))))
% 0.32/0.99  (step @p549 :rule trans :premises (@p548 @p547))
% 0.32/0.99  (step @p550 :rule aci_norm :args ((= @t702 @t670)))
% 0.32/0.99  (step @p551 :rule aci_norm :args ((= (or @t406 (or @t405 @t406)) @t702)))
% 0.32/1.00  (step @p552 :rule bool-and-de-morgan :args (@t131 @t129 true))
% 0.32/1.00  (step @p553 :rule nary_cong :premises (@p466 @p552) :args ((or @t406 (not (and @t131 @t129)))))
% 0.32/1.00  (step @p554 :rule bool-and-de-morgan :args (@t129 @t131 (and @t129)))
% 0.32/1.00  (step @p555 :rule trans :premises (@p554 @p553))
% 0.32/1.00  (step @p556 :rule trans :premises (@p555 @p551))
% 0.32/1.00  (step @p557 :rule trans :premises (@p556 @p550))
% 0.32/1.00  (step @p558 :rule refl :args (@t157))
% 0.32/1.00  (step @p559 :rule bool-and-de-morgan :args (@t157 @t159 true))
% 0.32/1.00  (step @p560 :rule nary_cong :premises (@p30 @p559 @p455 @p558 @p557) :args (@t161))
% 0.32/1.00  (step @p561 :rule trans :premises (@p560 @p549))
% 0.32/1.00  (step @p562 :rule cong :premises (@p561) :args (@t162))
% 0.32/1.00  (step @p563 :rule trans :premises (@p562 @p14))
% 0.32/1.00  (step @p564 :rule aci_norm :args ((= @t704 @t431)))
% 0.32/1.00  (step @p565 :rule cong :premises (@p564) :args (@t705))
% 0.32/1.00  (step @p566 :rule quant-merge-prenex :args ((= (forall @t15 @t707) @t705)))
% 0.32/1.00  (step @p567 :rule alpha_equiv :args (@t708 (@list @t423) @t550))
% 0.32/1.00  (step @p568 :rule refl :args (@t429))
% 0.32/1.00  (step @p569 :rule refl :args (@t430))
% 0.32/1.00  (step @p570 :rule nary_cong :premises (@p30 @p569 @p568 @p455 @p567) :args (@t709))
% 0.32/1.00  (step @p571 :rule quant-miniscope-or :args ((= @t707 @t709)))
% 0.32/1.00  (step @p572 :rule trans :premises (@p571 @p570))
% 0.32/1.00  (step @p573 :rule symm :premises (@p572))
% 0.32/1.00  (step @p574 :rule cong :premises (@p573) :args ((forall @t15 @t711)))
% 0.32/1.00  (step @p575 :rule trans :premises (@p574 @p566))
% 0.32/1.00  (step @p576 :rule trans :premises (@p575 @p565))
% 0.32/1.00  (step @p577 :rule aci_norm :args ((= (or @t13 @t701 @t129 @t710) @t711)))
% 0.32/1.00  (step @p578 :rule refl :args (@t710))
% 0.32/1.00  (step @p579 :rule nary_cong :premises (@p30 @p559 @p455 @p578) :args (@t712))
% 0.32/1.00  (step @p580 :rule trans :premises (@p579 @p577))
% 0.32/1.00  (step @p581 :rule cong :premises (@p580) :args ((forall @t15 @t712)))
% 0.32/1.00  (step @p582 :rule trans :premises (@p581 @p576))
% 0.32/1.00  (step @p583 :rule alpha_equiv :args (@t163 @t556 (@list @t421)))
% 0.32/1.00  (step @p584 :rule cong :premises (@p583) :args (@t713))
% 0.32/1.00  (step @p585 :rule refl :args (@t696))
% 0.32/1.00  (step @p586 :rule refl :args (@t158))
% 0.32/1.00  (step @p587 :rule nary_cong :premises (@p58 @p586 @p585 @p584) :args (@t714))
% 0.32/1.00  (step @p588 :rule cong :premises (@p587) :args (@t715))
% 0.32/1.00  (step @p589 :rule refl :args (@t160))
% 0.32/1.00  (step @p590 :rule nary_cong :premises (@p30 @p589 @p455 @p588) :args (@t716))
% 0.32/1.00  (step @p591 :rule cong :premises (@p590) :args ((forall @t15 @t716)))
% 0.32/1.00  (step @p592 :rule trans :premises (@p591 @p582))
% 0.32/1.00  (step @p593 :rule aci_norm :args ((= (or @t5 @t158 @t717) @t714)))
% 0.32/1.00  (step @p594 :rule aci_norm :args ((= @t718 @t717)))
% 0.32/1.00  (step @p595 :rule aci_norm :args ((= (or @t696 (or @t713 @t696)) @t718)))
% 0.32/1.00  (step @p596 :rule bool-and-de-morgan :args (@t163 @t130 true))
% 0.32/1.00  (step @p597 :rule nary_cong :premises (@p585 @p596) :args ((or @t696 (not (and @t163 @t130)))))
% 0.32/1.00  (step @p598 :rule bool-and-de-morgan :args (@t130 @t163 (and @t130)))
% 0.32/1.00  (step @p599 :rule trans :premises (@p598 @p597))
% 0.32/1.00  (step @p600 :rule trans :premises (@p599 @p595))
% 0.32/1.00  (step @p601 :rule trans :premises (@p600 @p594))
% 0.32/1.00  (step @p602 :rule nary_cong :premises (@p58 @p586 @p601) :args (@t164))
% 0.32/1.00  (step @p603 :rule trans :premises (@p602 @p593))
% 0.32/1.00  (step @p604 :rule cong :premises (@p603) :args (@t165))
% 0.32/1.00  (step @p605 :rule refl :args (@t160))
% 0.32/1.00  (step @p606 :rule nary_cong :premises (@p79 @p605 @p524 @p604) :args (@t166))
% 0.32/1.00  (step @p607 :rule cong :premises (@p606) :args (@t167))
% 0.32/1.00  (step @p608 :rule trans :premises (@p607 @p592))
% 0.32/1.00  (step @p609 :rule aci_norm :args ((= @t720 @t439)))
% 0.32/1.00  (step @p610 :rule cong :premises (@p609) :args (@t721))
% 0.32/1.00  (step @p611 :rule quant-merge-prenex :args ((= (forall @t15 @t723) @t721)))
% 0.32/1.00  (step @p612 :rule alpha_equiv :args (@t724 (@list @t434) @t550))
% 0.32/1.00  (step @p613 :rule nary_cong :premises (@p30 @p612 @p558 @p466 @p465) :args (@t725))
% 0.32/1.00  (step @p614 :rule quant-miniscope-or :args ((= @t723 @t725)))
% 0.32/1.00  (step @p615 :rule trans :premises (@p614 @p613))
% 0.32/1.00  (step @p616 :rule symm :premises (@p615))
% 0.32/1.00  (step @p617 :rule cong :premises (@p616) :args ((forall @t15 @t730)))
% 0.32/1.00  (step @p618 :rule trans :premises (@p617 @p611))
% 0.32/1.00  (step @p619 :rule trans :premises (@p618 @p610))
% 0.32/1.00  (step @p620 :rule aci_norm :args ((= (or @t13 @t729 @t157 @t670) @t730)))
% 0.32/1.00  (step @p621 :rule refl :args (@t729))
% 0.32/1.00  (step @p622 :rule nary_cong :premises (@p30 @p621 @p558 @p557) :args (@t731))
% 0.32/1.00  (step @p623 :rule trans :premises (@p622 @p620))
% 0.32/1.00  (step @p624 :rule cong :premises (@p623) :args ((forall @t15 @t731)))
% 0.32/1.00  (step @p625 :rule trans :premises (@p624 @p619))
% 0.32/1.00  (step @p626 :rule refl :args (@t156))
% 0.32/1.00  (step @p627 :rule refl :args (@t157))
% 0.32/1.00  (step @p628 :rule aci_norm :args ((= (or @t5 (or @t727 @t726) @t130) @t728)))
% 0.32/1.00  (step @p629 :rule bool-and-de-morgan :args (@t158 @t171 true))
% 0.32/1.00  (step @p630 :rule nary_cong :premises (@p58 @p629 @p483) :args (@t172))
% 0.32/1.00  (step @p631 :rule trans :premises (@p630 @p628))
% 0.32/1.00  (step @p632 :rule cong :premises (@p631) :args (@t173))
% 0.32/1.00  (step @p633 :rule nary_cong :premises (@p79 @p632 @p627 @p626) :args (@t174))
% 0.32/1.00  (step @p634 :rule cong :premises (@p633) :args (@t175))
% 0.32/1.00  (step @p635 :rule trans :premises (@p634 @p625))
% 0.32/1.00  (step @p636 :rule nary_cong :premises (@p635 @p608 @p563) :args (@t176))
% 0.32/1.00  (step @p637 :rule trans :premises (@p636 @p546))
% 0.32/1.00  (step @p638 :rule cong :premises (@p637) :args (@t177))
% 0.32/1.00  (step @p639 :rule aci_norm :args ((= (or @t13 @t157 @t670) @t443)))
% 0.32/1.00  (step @p640 :rule nary_cong :premises (@p30 @p558 @p557) :args (@t178))
% 0.32/1.00  (step @p641 :rule trans :premises (@p640 @p639))
% 0.32/1.00  (step @p642 :rule cong :premises (@p641) :args (@t179))
% 0.32/1.00  (step @p643 :rule aci_norm :args ((= (or @t13 @t701 @t129) @t444)))
% 0.32/1.00  (step @p644 :rule nary_cong :premises (@p30 @p559 @p455) :args (@t180))
% 0.32/1.00  (step @p645 :rule trans :premises (@p644 @p643))
% 0.32/1.00  (step @p646 :rule cong :premises (@p645) :args (@t181))
% 0.32/1.00  (step @p647 :rule nary_cong :premises (@p646 @p642 @p638) :args (@t182))
% 0.32/1.00  (step @p648 :rule cong :premises (@p647) :args (@t183))
% 0.32/1.00  (step @p649 :rule aci_norm :args ((= (and @t465 @t457 true) @t466)))
% 0.32/1.00  (step @p650 :rule bool-or-taut2 :args ((or @t13) @t185 (or @t453 @t157) (or @t430 @t429)))
% 0.32/1.00  (step @p651 :rule aci_norm :args ((= (or @t13 @t732 @t157 @t185 @t701) (or @t13 @t454 @t453 @t157 @t185 @t430 @t429))))
% 0.32/1.00  (step @p652 :rule trans :premises (@p651 @p650))
% 0.32/1.00  (step @p653 :rule aci_norm :args ((= @t733 @t701)))
% 0.32/1.00  (step @p654 :rule aci_norm :args ((= (or @t430 (or @t429 @t430)) @t733)))
% 0.32/1.00  (step @p655 :rule bool-and-de-morgan :args (@t159 @t157 true))
% 0.32/1.00  (step @p656 :rule nary_cong :premises (@p569 @p655) :args ((or @t430 (not (and @t159 @t157)))))
% 0.32/1.00  (step @p657 :rule bool-and-de-morgan :args (@t157 @t159 (and @t157)))
% 0.32/1.00  (step @p658 :rule trans :premises (@p657 @p656))
% 0.32/1.00  (step @p659 :rule trans :premises (@p658 @p654))
% 0.32/1.00  (step @p660 :rule trans :premises (@p659 @p653))
% 0.32/1.00  (step @p661 :rule refl :args (@t185))
% 0.32/1.00  (step @p662 :rule bool-and-de-morgan :args (@t185 @t187 true))
% 0.32/1.00  (step @p663 :rule nary_cong :premises (@p30 @p662 @p558 @p661 @p660) :args (@t189))
% 0.32/1.00  (step @p664 :rule trans :premises (@p663 @p652))
% 0.32/1.00  (step @p665 :rule cong :premises (@p664) :args (@t190))
% 0.32/1.00  (step @p666 :rule trans :premises (@p665 @p14))
% 0.32/1.00  (step @p667 :rule aci_norm :args ((= @t735 @t455)))
% 0.32/1.00  (step @p668 :rule cong :premises (@p667) :args (@t736))
% 0.32/1.00  (step @p669 :rule quant-merge-prenex :args ((= (forall @t15 @t738) @t736)))
% 0.32/1.00  (step @p670 :rule alpha_equiv :args (@t739 (@list @t447) @t550))
% 0.32/1.00  (step @p671 :rule refl :args (@t453))
% 0.32/1.00  (step @p672 :rule refl :args (@t454))
% 0.32/1.00  (step @p673 :rule nary_cong :premises (@p30 @p672 @p671 @p558 @p670) :args (@t740))
% 0.32/1.00  (step @p674 :rule quant-miniscope-or :args ((= @t738 @t740)))
% 0.32/1.00  (step @p675 :rule trans :premises (@p674 @p673))
% 0.32/1.00  (step @p676 :rule symm :premises (@p675))
% 0.32/1.00  (step @p677 :rule cong :premises (@p676) :args ((forall @t15 @t742)))
% 0.32/1.00  (step @p678 :rule trans :premises (@p677 @p669))
% 0.32/1.00  (step @p679 :rule trans :premises (@p678 @p668))
% 0.32/1.00  (step @p680 :rule aci_norm :args ((= (or @t13 @t732 @t157 @t741) @t742)))
% 0.32/1.00  (step @p681 :rule refl :args (@t741))
% 0.32/1.00  (step @p682 :rule nary_cong :premises (@p30 @p662 @p558 @p681) :args (@t743))
% 0.32/1.00  (step @p683 :rule trans :premises (@p682 @p680))
% 0.32/1.00  (step @p684 :rule cong :premises (@p683) :args ((forall @t15 @t743)))
% 0.32/1.00  (step @p685 :rule trans :premises (@p684 @p679))
% 0.32/1.00  (step @p686 :rule alpha_equiv :args (@t191 @t556 (@list @t445)))
% 0.32/1.00  (step @p687 :rule cong :premises (@p686) :args (@t744))
% 0.32/1.00  (step @p688 :rule refl :args (@t727))
% 0.32/1.00  (step @p689 :rule refl :args (@t186))
% 0.32/1.00  (step @p690 :rule nary_cong :premises (@p58 @p689 @p688 @p687) :args (@t745))
% 0.32/1.00  (step @p691 :rule cong :premises (@p690) :args (@t746))
% 0.32/1.00  (step @p692 :rule refl :args (@t188))
% 0.32/1.00  (step @p693 :rule nary_cong :premises (@p30 @p692 @p558 @p691) :args (@t747))
% 0.32/1.00  (step @p694 :rule cong :premises (@p693) :args ((forall @t15 @t747)))
% 0.32/1.00  (step @p695 :rule trans :premises (@p694 @p685))
% 0.32/1.00  (step @p696 :rule aci_norm :args ((= (or @t5 @t186 @t748) @t745)))
% 0.32/1.00  (step @p697 :rule aci_norm :args ((= @t749 @t748)))
% 0.32/1.00  (step @p698 :rule aci_norm :args ((= (or @t727 (or @t744 @t727)) @t749)))
% 0.32/1.00  (step @p699 :rule bool-and-de-morgan :args (@t191 @t158 true))
% 0.32/1.00  (step @p700 :rule nary_cong :premises (@p688 @p699) :args ((or @t727 (not (and @t191 @t158)))))
% 0.32/1.00  (step @p701 :rule bool-and-de-morgan :args (@t158 @t191 (and @t158)))
% 0.32/1.00  (step @p702 :rule trans :premises (@p701 @p700))
% 0.32/1.00  (step @p703 :rule trans :premises (@p702 @p698))
% 0.32/1.00  (step @p704 :rule trans :premises (@p703 @p697))
% 0.32/1.00  (step @p705 :rule nary_cong :premises (@p58 @p689 @p704) :args (@t192))
% 0.32/1.00  (step @p706 :rule trans :premises (@p705 @p696))
% 0.32/1.00  (step @p707 :rule cong :premises (@p706) :args (@t193))
% 0.32/1.00  (step @p708 :rule refl :args (@t188))
% 0.32/1.00  (step @p709 :rule nary_cong :premises (@p79 @p708 @p627 @p707) :args (@t194))
% 0.32/1.00  (step @p710 :rule cong :premises (@p709) :args (@t195))
% 0.32/1.00  (step @p711 :rule trans :premises (@p710 @p695))
% 0.32/1.00  (step @p712 :rule aci_norm :args ((= @t751 @t463)))
% 0.32/1.00  (step @p713 :rule cong :premises (@p712) :args (@t752))
% 0.32/1.00  (step @p714 :rule quant-merge-prenex :args ((= (forall @t15 @t754) @t752)))
% 0.32/1.00  (step @p715 :rule alpha_equiv :args (@t755 (@list @t458) @t550))
% 0.32/1.00  (step @p716 :rule nary_cong :premises (@p30 @p715 @p661 @p569 @p568) :args (@t756))
% 0.32/1.00  (step @p717 :rule quant-miniscope-or :args ((= @t754 @t756)))
% 0.32/1.00  (step @p718 :rule trans :premises (@p717 @p716))
% 0.32/1.00  (step @p719 :rule symm :premises (@p718))
% 0.32/1.00  (step @p720 :rule cong :premises (@p719) :args ((forall @t15 @t761)))
% 0.32/1.00  (step @p721 :rule trans :premises (@p720 @p714))
% 0.32/1.00  (step @p722 :rule trans :premises (@p721 @p713))
% 0.32/1.00  (step @p723 :rule aci_norm :args ((= (or @t13 @t760 @t185 @t701) @t761)))
% 0.32/1.00  (step @p724 :rule refl :args (@t760))
% 0.32/1.00  (step @p725 :rule nary_cong :premises (@p30 @p724 @p661 @p660) :args (@t762))
% 0.32/1.00  (step @p726 :rule trans :premises (@p725 @p723))
% 0.32/1.00  (step @p727 :rule cong :premises (@p726) :args ((forall @t15 @t762)))
% 0.32/1.00  (step @p728 :rule trans :premises (@p727 @p722))
% 0.32/1.00  (step @p729 :rule refl :args (@t184))
% 0.32/1.00  (step @p730 :rule refl :args (@t185))
% 0.32/1.00  (step @p731 :rule aci_norm :args ((= (or @t5 (or @t758 @t757) @t158) @t759)))
% 0.32/1.00  (step @p732 :rule bool-and-de-morgan :args (@t186 @t199 true))
% 0.32/1.00  (step @p733 :rule nary_cong :premises (@p58 @p732 @p586) :args (@t200))
% 0.32/1.00  (step @p734 :rule trans :premises (@p733 @p731))
% 0.32/1.00  (step @p735 :rule cong :premises (@p734) :args (@t201))
% 0.32/1.00  (step @p736 :rule nary_cong :premises (@p79 @p735 @p730 @p729) :args (@t202))
% 0.32/1.00  (step @p737 :rule cong :premises (@p736) :args (@t203))
% 0.32/1.00  (step @p738 :rule trans :premises (@p737 @p728))
% 0.32/1.00  (step @p739 :rule nary_cong :premises (@p738 @p711 @p666) :args (@t204))
% 0.32/1.00  (step @p740 :rule trans :premises (@p739 @p649))
% 0.32/1.00  (step @p741 :rule cong :premises (@p740) :args (@t205))
% 0.32/1.00  (step @p742 :rule aci_norm :args ((= (or @t13 @t185 @t701) @t467)))
% 0.32/1.00  (step @p743 :rule nary_cong :premises (@p30 @p661 @p660) :args (@t206))
% 0.32/1.00  (step @p744 :rule trans :premises (@p743 @p742))
% 0.32/1.00  (step @p745 :rule cong :premises (@p744) :args (@t207))
% 0.32/1.00  (step @p746 :rule aci_norm :args ((= (or @t13 @t732 @t157) @t468)))
% 0.32/1.00  (step @p747 :rule nary_cong :premises (@p30 @p662 @p558) :args (@t208))
% 0.32/1.00  (step @p748 :rule trans :premises (@p747 @p746))
% 0.32/1.00  (step @p749 :rule cong :premises (@p748) :args (@t209))
% 0.32/1.00  (step @p750 :rule nary_cong :premises (@p749 @p745 @p741) :args (@t210))
% 0.32/1.00  (step @p751 :rule cong :premises (@p750) :args (@t211))
% 0.32/1.00  (step @p752 :rule aci_norm :args ((= (and @t489 @t481 true) @t490)))
% 0.32/1.00  (step @p753 :rule bool-or-taut2 :args ((or @t13) @t213 (or @t477 @t185) (or @t454 @t453)))
% 0.32/1.00  (step @p754 :rule aci_norm :args ((= (or @t13 @t763 @t185 @t213 @t732) (or @t13 @t478 @t477 @t185 @t213 @t454 @t453))))
% 0.32/1.00  (step @p755 :rule trans :premises (@p754 @p753))
% 0.32/1.00  (step @p756 :rule aci_norm :args ((= @t764 @t732)))
% 0.32/1.00  (step @p757 :rule aci_norm :args ((= (or @t454 (or @t453 @t454)) @t764)))
% 0.32/1.00  (step @p758 :rule bool-and-de-morgan :args (@t187 @t185 true))
% 0.32/1.00  (step @p759 :rule nary_cong :premises (@p672 @p758) :args ((or @t454 (not (and @t187 @t185)))))
% 0.32/1.00  (step @p760 :rule bool-and-de-morgan :args (@t185 @t187 (and @t185)))
% 0.32/1.00  (step @p761 :rule trans :premises (@p760 @p759))
% 0.32/1.00  (step @p762 :rule trans :premises (@p761 @p757))
% 0.32/1.00  (step @p763 :rule trans :premises (@p762 @p756))
% 0.32/1.00  (step @p764 :rule refl :args (@t213))
% 0.32/1.00  (step @p765 :rule bool-and-de-morgan :args (@t213 @t215 true))
% 0.32/1.00  (step @p766 :rule nary_cong :premises (@p30 @p765 @p661 @p764 @p763) :args (@t217))
% 0.32/1.00  (step @p767 :rule trans :premises (@p766 @p755))
% 0.32/1.00  (step @p768 :rule cong :premises (@p767) :args (@t218))
% 0.32/1.00  (step @p769 :rule trans :premises (@p768 @p14))
% 0.32/1.00  (step @p770 :rule aci_norm :args ((= @t766 @t479)))
% 0.32/1.00  (step @p771 :rule cong :premises (@p770) :args (@t767))
% 0.32/1.00  (step @p772 :rule quant-merge-prenex :args ((= (forall @t15 @t769) @t767)))
% 0.32/1.00  (step @p773 :rule alpha_equiv :args (@t770 (@list @t471) @t550))
% 0.32/1.00  (step @p774 :rule refl :args (@t477))
% 0.32/1.00  (step @p775 :rule refl :args (@t478))
% 0.32/1.00  (step @p776 :rule nary_cong :premises (@p30 @p775 @p774 @p661 @p773) :args (@t771))
% 0.32/1.00  (step @p777 :rule quant-miniscope-or :args ((= @t769 @t771)))
% 0.32/1.00  (step @p778 :rule trans :premises (@p777 @p776))
% 0.32/1.00  (step @p779 :rule symm :premises (@p778))
% 0.32/1.00  (step @p780 :rule cong :premises (@p779) :args ((forall @t15 @t773)))
% 0.32/1.00  (step @p781 :rule trans :premises (@p780 @p772))
% 0.32/1.00  (step @p782 :rule trans :premises (@p781 @p771))
% 0.32/1.00  (step @p783 :rule aci_norm :args ((= (or @t13 @t763 @t185 @t772) @t773)))
% 0.32/1.00  (step @p784 :rule refl :args (@t772))
% 0.32/1.00  (step @p785 :rule nary_cong :premises (@p30 @p765 @p661 @p784) :args (@t774))
% 0.32/1.00  (step @p786 :rule trans :premises (@p785 @p783))
% 0.32/1.00  (step @p787 :rule cong :premises (@p786) :args ((forall @t15 @t774)))
% 0.32/1.00  (step @p788 :rule trans :premises (@p787 @p782))
% 0.32/1.00  (step @p789 :rule alpha_equiv :args (@t219 @t556 (@list @t469)))
% 0.32/1.00  (step @p790 :rule cong :premises (@p789) :args (@t775))
% 0.32/1.00  (step @p791 :rule refl :args (@t758))
% 0.32/1.00  (step @p792 :rule refl :args (@t214))
% 0.32/1.00  (step @p793 :rule nary_cong :premises (@p58 @p792 @p791 @p790) :args (@t776))
% 0.32/1.00  (step @p794 :rule cong :premises (@p793) :args (@t777))
% 0.32/1.00  (step @p795 :rule refl :args (@t216))
% 0.32/1.00  (step @p796 :rule nary_cong :premises (@p30 @p795 @p661 @p794) :args (@t778))
% 0.32/1.00  (step @p797 :rule cong :premises (@p796) :args ((forall @t15 @t778)))
% 0.32/1.00  (step @p798 :rule trans :premises (@p797 @p788))
% 0.32/1.00  (step @p799 :rule aci_norm :args ((= (or @t5 @t214 @t779) @t776)))
% 0.32/1.00  (step @p800 :rule aci_norm :args ((= @t780 @t779)))
% 0.32/1.00  (step @p801 :rule aci_norm :args ((= (or @t758 (or @t775 @t758)) @t780)))
% 0.32/1.00  (step @p802 :rule bool-and-de-morgan :args (@t219 @t186 true))
% 0.32/1.00  (step @p803 :rule nary_cong :premises (@p791 @p802) :args ((or @t758 (not (and @t219 @t186)))))
% 0.32/1.00  (step @p804 :rule bool-and-de-morgan :args (@t186 @t219 (and @t186)))
% 0.32/1.00  (step @p805 :rule trans :premises (@p804 @p803))
% 0.32/1.00  (step @p806 :rule trans :premises (@p805 @p801))
% 0.32/1.00  (step @p807 :rule trans :premises (@p806 @p800))
% 0.32/1.00  (step @p808 :rule nary_cong :premises (@p58 @p792 @p807) :args (@t220))
% 0.32/1.00  (step @p809 :rule trans :premises (@p808 @p799))
% 0.32/1.00  (step @p810 :rule cong :premises (@p809) :args (@t221))
% 0.32/1.00  (step @p811 :rule refl :args (@t216))
% 0.32/1.00  (step @p812 :rule nary_cong :premises (@p79 @p811 @p730 @p810) :args (@t222))
% 0.32/1.00  (step @p813 :rule cong :premises (@p812) :args (@t223))
% 0.32/1.00  (step @p814 :rule trans :premises (@p813 @p798))
% 0.32/1.00  (step @p815 :rule aci_norm :args ((= @t782 @t487)))
% 0.32/1.00  (step @p816 :rule cong :premises (@p815) :args (@t783))
% 0.32/1.00  (step @p817 :rule quant-merge-prenex :args ((= (forall @t15 @t785) @t783)))
% 0.32/1.00  (step @p818 :rule alpha_equiv :args (@t786 (@list @t482) @t550))
% 0.32/1.00  (step @p819 :rule nary_cong :premises (@p30 @p818 @p764 @p672 @p671) :args (@t787))
% 0.32/1.00  (step @p820 :rule quant-miniscope-or :args ((= @t785 @t787)))
% 0.32/1.00  (step @p821 :rule trans :premises (@p820 @p819))
% 0.32/1.00  (step @p822 :rule symm :premises (@p821))
% 0.32/1.00  (step @p823 :rule cong :premises (@p822) :args ((forall @t15 @t792)))
% 0.32/1.00  (step @p824 :rule trans :premises (@p823 @p817))
% 0.32/1.00  (step @p825 :rule trans :premises (@p824 @p816))
% 0.32/1.00  (step @p826 :rule aci_norm :args ((= (or @t13 @t791 @t213 @t732) @t792)))
% 0.32/1.00  (step @p827 :rule refl :args (@t791))
% 0.32/1.00  (step @p828 :rule nary_cong :premises (@p30 @p827 @p764 @p763) :args (@t793))
% 0.32/1.00  (step @p829 :rule trans :premises (@p828 @p826))
% 0.32/1.00  (step @p830 :rule cong :premises (@p829) :args ((forall @t15 @t793)))
% 0.32/1.00  (step @p831 :rule trans :premises (@p830 @p825))
% 0.32/1.00  (step @p832 :rule refl :args (@t212))
% 0.32/1.00  (step @p833 :rule refl :args (@t213))
% 0.32/1.00  (step @p834 :rule aci_norm :args ((= (or @t5 (or @t789 @t788) @t186) @t790)))
% 0.32/1.00  (step @p835 :rule bool-and-de-morgan :args (@t214 @t227 true))
% 0.32/1.00  (step @p836 :rule nary_cong :premises (@p58 @p835 @p689) :args (@t228))
% 0.32/1.00  (step @p837 :rule trans :premises (@p836 @p834))
% 0.32/1.00  (step @p838 :rule cong :premises (@p837) :args (@t229))
% 0.32/1.00  (step @p839 :rule nary_cong :premises (@p79 @p838 @p833 @p832) :args (@t230))
% 0.32/1.00  (step @p840 :rule cong :premises (@p839) :args (@t231))
% 0.32/1.00  (step @p841 :rule trans :premises (@p840 @p831))
% 0.32/1.00  (step @p842 :rule nary_cong :premises (@p841 @p814 @p769) :args (@t232))
% 0.32/1.00  (step @p843 :rule trans :premises (@p842 @p752))
% 0.32/1.00  (step @p844 :rule cong :premises (@p843) :args (@t233))
% 0.32/1.00  (step @p845 :rule aci_norm :args ((= (or @t13 @t213 @t732) @t491)))
% 0.32/1.00  (step @p846 :rule nary_cong :premises (@p30 @p764 @p763) :args (@t234))
% 0.32/1.00  (step @p847 :rule trans :premises (@p846 @p845))
% 0.32/1.00  (step @p848 :rule cong :premises (@p847) :args (@t235))
% 0.32/1.00  (step @p849 :rule aci_norm :args ((= (or @t13 @t763 @t185) @t492)))
% 0.32/1.00  (step @p850 :rule nary_cong :premises (@p30 @p765 @p661) :args (@t236))
% 0.32/1.00  (step @p851 :rule trans :premises (@p850 @p849))
% 0.32/1.00  (step @p852 :rule cong :premises (@p851) :args (@t237))
% 0.32/1.00  (step @p853 :rule nary_cong :premises (@p852 @p848 @p844) :args (@t238))
% 0.32/1.00  (step @p854 :rule cong :premises (@p853) :args (@t239))
% 0.32/1.00  (step @p855 :rule aci_norm :args ((= (and @t513 @t505 true) @t514)))
% 0.32/1.00  (step @p856 :rule bool-or-taut2 :args ((or @t13) @t94 (or @t501 @t213) (or @t478 @t477)))
% 0.32/1.00  (step @p857 :rule aci_norm :args ((= (or @t13 @t794 @t213 @t94 @t763) (or @t13 @t502 @t501 @t213 @t94 @t478 @t477))))
% 0.32/1.00  (step @p858 :rule trans :premises (@p857 @p856))
% 0.32/1.00  (step @p859 :rule aci_norm :args ((= @t795 @t763)))
% 0.32/1.00  (step @p860 :rule aci_norm :args ((= (or @t478 (or @t477 @t478)) @t795)))
% 0.32/1.00  (step @p861 :rule bool-and-de-morgan :args (@t215 @t213 true))
% 0.32/1.00  (step @p862 :rule nary_cong :premises (@p775 @p861) :args ((or @t478 (not (and @t215 @t213)))))
% 0.32/1.00  (step @p863 :rule bool-and-de-morgan :args (@t213 @t215 (and @t213)))
% 0.32/1.00  (step @p864 :rule trans :premises (@p863 @p862))
% 0.32/1.00  (step @p865 :rule trans :premises (@p864 @p860))
% 0.32/1.00  (step @p866 :rule trans :premises (@p865 @p859))
% 0.32/1.00  (step @p867 :rule bool-and-de-morgan :args (@t94 @t96 true))
% 0.32/1.00  (step @p868 :rule nary_cong :premises (@p30 @p867 @p764 @p335 @p866) :args (@t242))
% 0.32/1.00  (step @p869 :rule trans :premises (@p868 @p858))
% 0.32/1.00  (step @p870 :rule cong :premises (@p869) :args (@t243))
% 0.32/1.00  (step @p871 :rule trans :premises (@p870 @p14))
% 0.32/1.00  (step @p872 :rule aci_norm :args ((= @t797 @t503)))
% 0.32/1.00  (step @p873 :rule cong :premises (@p872) :args (@t798))
% 0.32/1.00  (step @p874 :rule quant-merge-prenex :args ((= (forall @t15 @t800) @t798)))
% 0.32/1.00  (step @p875 :rule alpha_equiv :args (@t801 (@list @t495) @t550))
% 0.32/1.00  (step @p876 :rule refl :args (@t501))
% 0.32/1.00  (step @p877 :rule refl :args (@t502))
% 0.32/1.00  (step @p878 :rule nary_cong :premises (@p30 @p877 @p876 @p764 @p875) :args (@t802))
% 0.32/1.00  (step @p879 :rule quant-miniscope-or :args ((= @t800 @t802)))
% 0.32/1.00  (step @p880 :rule trans :premises (@p879 @p878))
% 0.32/1.00  (step @p881 :rule symm :premises (@p880))
% 0.32/1.00  (step @p882 :rule cong :premises (@p881) :args ((forall @t15 @t804)))
% 0.32/1.00  (step @p883 :rule trans :premises (@p882 @p874))
% 0.32/1.00  (step @p884 :rule trans :premises (@p883 @p873))
% 0.32/1.00  (step @p885 :rule aci_norm :args ((= (or @t13 @t794 @t213 @t803) @t804)))
% 0.32/1.00  (step @p886 :rule refl :args (@t803))
% 0.32/1.00  (step @p887 :rule nary_cong :premises (@p30 @p867 @p764 @p886) :args (@t805))
% 0.32/1.00  (step @p888 :rule trans :premises (@p887 @p885))
% 0.32/1.00  (step @p889 :rule cong :premises (@p888) :args ((forall @t15 @t805)))
% 0.32/1.00  (step @p890 :rule trans :premises (@p889 @p884))
% 0.32/1.00  (step @p891 :rule alpha_equiv :args (@t244 @t556 (@list @t493)))
% 0.32/1.00  (step @p892 :rule cong :premises (@p891) :args (@t806))
% 0.32/1.00  (step @p893 :rule refl :args (@t789))
% 0.32/1.00  (step @p894 :rule refl :args (@t95))
% 0.32/1.00  (step @p895 :rule nary_cong :premises (@p58 @p894 @p893 @p892) :args (@t807))
% 0.32/1.00  (step @p896 :rule cong :premises (@p895) :args (@t808))
% 0.32/1.00  (step @p897 :rule refl :args (@t241))
% 0.32/1.00  (step @p898 :rule nary_cong :premises (@p30 @p897 @p764 @p896) :args (@t809))
% 0.32/1.00  (step @p899 :rule cong :premises (@p898) :args ((forall @t15 @t809)))
% 0.32/1.00  (step @p900 :rule trans :premises (@p899 @p890))
% 0.32/1.00  (step @p901 :rule aci_norm :args ((= (or @t5 @t95 @t810) @t807)))
% 0.32/1.00  (step @p902 :rule aci_norm :args ((= @t811 @t810)))
% 0.32/1.00  (step @p903 :rule aci_norm :args ((= (or @t789 (or @t806 @t789)) @t811)))
% 0.32/1.00  (step @p904 :rule bool-and-de-morgan :args (@t244 @t214 true))
% 0.32/1.00  (step @p905 :rule nary_cong :premises (@p893 @p904) :args ((or @t789 (not (and @t244 @t214)))))
% 0.32/1.00  (step @p906 :rule bool-and-de-morgan :args (@t214 @t244 (and @t214)))
% 0.32/1.00  (step @p907 :rule trans :premises (@p906 @p905))
% 0.32/1.00  (step @p908 :rule trans :premises (@p907 @p903))
% 0.32/1.00  (step @p909 :rule trans :premises (@p908 @p902))
% 0.32/1.00  (step @p910 :rule nary_cong :premises (@p58 @p894 @p909) :args (@t245))
% 0.32/1.00  (step @p911 :rule trans :premises (@p910 @p901))
% 0.32/1.00  (step @p912 :rule cong :premises (@p911) :args (@t246))
% 0.32/1.00  (step @p913 :rule refl :args (@t241))
% 0.32/1.00  (step @p914 :rule nary_cong :premises (@p79 @p913 @p833 @p912) :args (@t247))
% 0.32/1.00  (step @p915 :rule cong :premises (@p914) :args (@t248))
% 0.32/1.00  (step @p916 :rule trans :premises (@p915 @p900))
% 0.32/1.00  (step @p917 :rule aci_norm :args ((= @t813 @t511)))
% 0.32/1.00  (step @p918 :rule cong :premises (@p917) :args (@t814))
% 0.32/1.00  (step @p919 :rule quant-merge-prenex :args ((= (forall @t15 @t816) @t814)))
% 0.32/1.00  (step @p920 :rule alpha_equiv :args (@t817 (@list @t506) @t550))
% 0.32/1.00  (step @p921 :rule nary_cong :premises (@p30 @p920 @p335 @p775 @p774) :args (@t818))
% 0.32/1.00  (step @p922 :rule quant-miniscope-or :args ((= @t816 @t818)))
% 0.32/1.00  (step @p923 :rule trans :premises (@p922 @p921))
% 0.32/1.00  (step @p924 :rule symm :premises (@p923))
% 0.32/1.00  (step @p925 :rule cong :premises (@p924) :args ((forall @t15 @t823)))
% 0.32/1.00  (step @p926 :rule trans :premises (@p925 @p919))
% 0.32/1.00  (step @p927 :rule trans :premises (@p926 @p918))
% 0.32/1.00  (step @p928 :rule aci_norm :args ((= (or @t13 @t822 @t94 @t763) @t823)))
% 0.32/1.00  (step @p929 :rule refl :args (@t822))
% 0.32/1.00  (step @p930 :rule nary_cong :premises (@p30 @p929 @p335 @p866) :args (@t824))
% 0.32/1.00  (step @p931 :rule trans :premises (@p930 @p928))
% 0.32/1.00  (step @p932 :rule cong :premises (@p931) :args ((forall @t15 @t824)))
% 0.32/1.00  (step @p933 :rule trans :premises (@p932 @p927))
% 0.32/1.00  (step @p934 :rule refl :args (@t240))
% 0.32/1.00  (step @p935 :rule refl :args (@t94))
% 0.32/1.00  (step @p936 :rule aci_norm :args ((= (or @t5 (or @t820 @t819) @t214) @t821)))
% 0.32/1.00  (step @p937 :rule bool-and-de-morgan :args (@t95 @t252 true))
% 0.32/1.00  (step @p938 :rule nary_cong :premises (@p58 @p937 @p792) :args (@t253))
% 0.32/1.00  (step @p939 :rule trans :premises (@p938 @p936))
% 0.32/1.00  (step @p940 :rule cong :premises (@p939) :args (@t254))
% 0.32/1.00  (step @p941 :rule nary_cong :premises (@p79 @p940 @p935 @p934) :args (@t255))
% 0.32/1.00  (step @p942 :rule cong :premises (@p941) :args (@t256))
% 0.32/1.00  (step @p943 :rule trans :premises (@p942 @p933))
% 0.32/1.00  (step @p944 :rule nary_cong :premises (@p943 @p916 @p871) :args (@t257))
% 0.32/1.00  (step @p945 :rule trans :premises (@p944 @p855))
% 0.32/1.00  (step @p946 :rule cong :premises (@p945) :args (@t258))
% 0.32/1.00  (step @p947 :rule aci_norm :args ((= (or @t13 @t94 @t763) @t515)))
% 0.32/1.00  (step @p948 :rule nary_cong :premises (@p30 @p335 @p866) :args (@t259))
% 0.32/1.00  (step @p949 :rule trans :premises (@p948 @p947))
% 0.32/1.00  (step @p950 :rule cong :premises (@p949) :args (@t260))
% 0.32/1.00  (step @p951 :rule aci_norm :args ((= (or @t13 @t794 @t213) @t516)))
% 0.32/1.00  (step @p952 :rule nary_cong :premises (@p30 @p867 @p764) :args (@t261))
% 0.32/1.00  (step @p953 :rule trans :premises (@p952 @p951))
% 0.32/1.00  (step @p954 :rule cong :premises (@p953) :args (@t262))
% 0.32/1.00  (step @p955 :rule nary_cong :premises (@p954 @p950 @p946) :args (@t263))
% 0.32/1.00  (step @p956 :rule cong :premises (@p955) :args (@t264))
% 0.32/1.00  (step @p957 :rule aci_norm :args ((= (and @t537 @t529 true) @t538)))
% 0.32/1.00  (step @p958 :rule bool-or-taut2 :args ((or @t13) @t266 (or @t525 @t94) (or @t502 @t501)))
% 0.32/1.00  (step @p959 :rule aci_norm :args ((= (or @t13 @t825 @t94 @t266 @t794) (or @t13 @t526 @t525 @t94 @t266 @t502 @t501))))
% 0.32/1.00  (step @p960 :rule trans :premises (@p959 @p958))
% 0.32/1.00  (step @p961 :rule aci_norm :args ((= @t826 @t794)))
% 0.32/1.00  (step @p962 :rule aci_norm :args ((= (or @t502 @t638) @t826)))
% 0.32/1.00  (step @p963 :rule nary_cong :premises (@p877 @p334) :args ((or @t502 @t97)))
% 0.32/1.00  (step @p964 :rule bool-and-de-morgan :args (@t94 @t96 (and @t94)))
% 0.32/1.00  (step @p965 :rule trans :premises (@p964 @p963))
% 0.32/1.00  (step @p966 :rule trans :premises (@p965 @p962))
% 0.32/1.00  (step @p967 :rule trans :premises (@p966 @p961))
% 0.32/1.00  (step @p968 :rule refl :args (@t266))
% 0.32/1.00  (step @p969 :rule bool-and-de-morgan :args (@t266 @t268 true))
% 0.32/1.00  (step @p970 :rule nary_cong :premises (@p30 @p969 @p335 @p968 @p967) :args (@t270))
% 0.32/1.00  (step @p971 :rule trans :premises (@p970 @p960))
% 0.32/1.00  (step @p972 :rule cong :premises (@p971) :args (@t271))
% 0.32/1.00  (step @p973 :rule trans :premises (@p972 @p14))
% 0.32/1.00  (step @p974 :rule aci_norm :args ((= @t828 @t527)))
% 0.32/1.00  (step @p975 :rule cong :premises (@p974) :args (@t829))
% 0.32/1.00  (step @p976 :rule quant-merge-prenex :args ((= (forall @t15 @t831) @t829)))
% 0.32/1.00  (step @p977 :rule alpha_equiv :args (@t832 (@list @t519) @t550))
% 0.32/1.00  (step @p978 :rule refl :args (@t525))
% 0.32/1.00  (step @p979 :rule refl :args (@t526))
% 0.32/1.00  (step @p980 :rule nary_cong :premises (@p30 @p979 @p978 @p335 @p977) :args (@t833))
% 0.32/1.00  (step @p981 :rule quant-miniscope-or :args ((= @t831 @t833)))
% 0.32/1.00  (step @p982 :rule trans :premises (@p981 @p980))
% 0.32/1.00  (step @p983 :rule symm :premises (@p982))
% 0.32/1.00  (step @p984 :rule cong :premises (@p983) :args ((forall @t15 @t835)))
% 0.32/1.00  (step @p985 :rule trans :premises (@p984 @p976))
% 0.32/1.00  (step @p986 :rule trans :premises (@p985 @p975))
% 0.32/1.00  (step @p987 :rule aci_norm :args ((= (or @t13 @t825 @t94 @t834) @t835)))
% 0.32/1.00  (step @p988 :rule refl :args (@t834))
% 0.32/1.00  (step @p989 :rule nary_cong :premises (@p30 @p969 @p335 @p988) :args (@t836))
% 0.32/1.00  (step @p990 :rule trans :premises (@p989 @p987))
% 0.32/1.00  (step @p991 :rule cong :premises (@p990) :args ((forall @t15 @t836)))
% 0.32/1.00  (step @p992 :rule trans :premises (@p991 @p986))
% 0.32/1.00  (step @p993 :rule alpha_equiv :args (@t272 @t556 (@list @t517)))
% 0.32/1.00  (step @p994 :rule cong :premises (@p993) :args (@t837))
% 0.32/1.00  (step @p995 :rule refl :args (@t820))
% 0.32/1.00  (step @p996 :rule refl :args (@t267))
% 0.32/1.00  (step @p997 :rule nary_cong :premises (@p58 @p996 @p995 @p994) :args (@t838))
% 0.32/1.00  (step @p998 :rule cong :premises (@p997) :args (@t839))
% 0.32/1.00  (step @p999 :rule refl :args (@t269))
% 0.32/1.00  (step @p1000 :rule nary_cong :premises (@p30 @p999 @p335 @p998) :args (@t840))
% 0.32/1.00  (step @p1001 :rule cong :premises (@p1000) :args ((forall @t15 @t840)))
% 0.32/1.00  (step @p1002 :rule trans :premises (@p1001 @p992))
% 0.32/1.00  (step @p1003 :rule aci_norm :args ((= (or @t5 @t267 @t841) @t838)))
% 0.32/1.00  (step @p1004 :rule aci_norm :args ((= @t842 @t841)))
% 0.32/1.00  (step @p1005 :rule aci_norm :args ((= (or @t820 (or @t837 @t820)) @t842)))
% 0.32/1.00  (step @p1006 :rule bool-and-de-morgan :args (@t272 @t95 true))
% 0.32/1.00  (step @p1007 :rule nary_cong :premises (@p995 @p1006) :args ((or @t820 (not (and @t272 @t95)))))
% 0.32/1.00  (step @p1008 :rule bool-and-de-morgan :args (@t95 @t272 (and @t95)))
% 0.32/1.00  (step @p1009 :rule trans :premises (@p1008 @p1007))
% 0.32/1.00  (step @p1010 :rule trans :premises (@p1009 @p1005))
% 0.32/1.00  (step @p1011 :rule trans :premises (@p1010 @p1004))
% 0.32/1.00  (step @p1012 :rule nary_cong :premises (@p58 @p996 @p1011) :args (@t273))
% 0.32/1.00  (step @p1013 :rule trans :premises (@p1012 @p1003))
% 0.32/1.00  (step @p1014 :rule cong :premises (@p1013) :args (@t274))
% 0.32/1.00  (step @p1015 :rule refl :args (@t269))
% 0.32/1.00  (step @p1016 :rule nary_cong :premises (@p79 @p1015 @p935 @p1014) :args (@t275))
% 0.32/1.00  (step @p1017 :rule cong :premises (@p1016) :args (@t276))
% 0.32/1.00  (step @p1018 :rule trans :premises (@p1017 @p1002))
% 0.32/1.00  (step @p1019 :rule aci_norm :args ((= @t844 @t535)))
% 0.32/1.00  (step @p1020 :rule cong :premises (@p1019) :args (@t845))
% 0.32/1.00  (step @p1021 :rule quant-merge-prenex :args ((= (forall @t15 @t847) @t845)))
% 0.32/1.00  (step @p1022 :rule alpha_equiv :args (@t848 (@list @t530) @t550))
% 0.32/1.00  (step @p1023 :rule nary_cong :premises (@p30 @p1022 @p968 @p877 @p876) :args (@t849))
% 0.32/1.00  (step @p1024 :rule quant-miniscope-or :args ((= @t847 @t849)))
% 0.32/1.00  (step @p1025 :rule trans :premises (@p1024 @p1023))
% 0.32/1.00  (step @p1026 :rule symm :premises (@p1025))
% 0.32/1.00  (step @p1027 :rule cong :premises (@p1026) :args ((forall @t15 @t854)))
% 0.32/1.00  (step @p1028 :rule trans :premises (@p1027 @p1021))
% 0.32/1.00  (step @p1029 :rule trans :premises (@p1028 @p1020))
% 0.32/1.00  (step @p1030 :rule aci_norm :args ((= (or @t13 @t853 @t266 @t794) @t854)))
% 0.32/1.00  (step @p1031 :rule refl :args (@t853))
% 0.32/1.00  (step @p1032 :rule nary_cong :premises (@p30 @p1031 @p968 @p967) :args (@t855))
% 0.32/1.00  (step @p1033 :rule trans :premises (@p1032 @p1030))
% 0.32/1.00  (step @p1034 :rule cong :premises (@p1033) :args ((forall @t15 @t855)))
% 0.32/1.00  (step @p1035 :rule trans :premises (@p1034 @p1029))
% 0.32/1.00  (step @p1036 :rule refl :args (@t265))
% 0.32/1.00  (step @p1037 :rule refl :args (@t266))
% 0.32/1.00  (step @p1038 :rule aci_norm :args ((= (or @t5 (or @t851 @t850) @t95) @t852)))
% 0.32/1.00  (step @p1039 :rule bool-and-de-morgan :args (@t267 @t280 true))
% 0.32/1.00  (step @p1040 :rule nary_cong :premises (@p58 @p1039 @p894) :args (@t281))
% 0.32/1.00  (step @p1041 :rule trans :premises (@p1040 @p1038))
% 0.32/1.00  (step @p1042 :rule cong :premises (@p1041) :args (@t282))
% 0.32/1.00  (step @p1043 :rule nary_cong :premises (@p79 @p1042 @p1037 @p1036) :args (@t283))
% 0.32/1.00  (step @p1044 :rule cong :premises (@p1043) :args (@t284))
% 0.32/1.00  (step @p1045 :rule trans :premises (@p1044 @p1035))
% 0.32/1.00  (step @p1046 :rule nary_cong :premises (@p1045 @p1018 @p973) :args (@t285))
% 0.32/1.00  (step @p1047 :rule trans :premises (@p1046 @p957))
% 0.32/1.00  (step @p1048 :rule cong :premises (@p1047) :args (@t286))
% 0.32/1.00  (step @p1049 :rule aci_norm :args ((= (or @t13 @t266 @t794) @t539)))
% 0.32/1.00  (step @p1050 :rule nary_cong :premises (@p30 @p968 @p967) :args (@t287))
% 0.32/1.00  (step @p1051 :rule trans :premises (@p1050 @p1049))
% 0.32/1.00  (step @p1052 :rule cong :premises (@p1051) :args (@t288))
% 0.32/1.00  (step @p1053 :rule aci_norm :args ((= (or @t13 @t825 @t94) @t540)))
% 0.32/1.00  (step @p1054 :rule nary_cong :premises (@p30 @p969 @p335) :args (@t289))
% 0.32/1.00  (step @p1055 :rule trans :premises (@p1054 @p1053))
% 0.32/1.00  (step @p1056 :rule cong :premises (@p1055) :args (@t290))
% 0.32/1.00  (step @p1057 :rule nary_cong :premises (@p1056 @p1052 @p1048) :args (@t291))
% 0.32/1.00  (step @p1058 :rule cong :premises (@p1057) :args (@t292))
% 0.32/1.00  (step @p1059 :rule nary_cong :premises (@p1058 @p956 @p854 @p751 @p648 @p545 @p442 @p339 @p339 @p330 @p227 @p124) :args (@t293))
% 0.32/1.00  (step @p1060 :rule trans :premises (@p1059 @p12))
% 0.32/1.00  (step @p1061 :rule cong :premises (@p1060) :args (@t294))
% 0.32/1.00  (step @p1062 :rule trans :premises (@p1061 @p3))
% 0.32/1.00  (step @p1063 :rule cong :premises (@p1062) :args (@t295))
% 0.32/1.00  (step @p1064 :rule trans :premises (@p1063 @p11))
% 0.32/1.00  (step @p1065 :rule bool-double-not-elim :args (@t295))
% 0.32/1.00  (step @p1066 :rule trans :premises (@p1065 @p1064))
% 0.32/1.00  (step @p1067 false :rule eq_resolve :premises (@p1 @p1066))
% 0.32/1.00  )
% 0.32/1.00  % SZS output end Proof
% 0.32/1.00  % cvc5 exiting
%------------------------------------------------------------------------------