cvc5---1.3.4.THM-Prf.s

%------------------------------------------------------------------------------
% File     : cvc5---1.3.4
% Problem  : SEV260^5 : TPTP v9.2.1. 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 : n012.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Wed Jun  3 08:55:41 AM UTC 2026

% Result   : Theorem 78.30s 78.54s
% Output   : Proof 78.30s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.06  % Problem  : SEV260^5 : TPTP v9.2.1. Released v4.0.0.
% 0.00/0.07  % Command  : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.08/0.25  % Computer : n012.cluster.edu
% 0.08/0.25  % Model    : x86_64 x86_64
% 0.08/0.25  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.25  % Memory   : 8042.1875MB
% 0.08/0.25  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.08/0.25  % CPULimit : 300
% 0.08/0.25  % WCLimit  : 300
% 0.08/0.25  % DateTime : Tue Jun  2 18:23:18 EDT 2026
% 0.08/0.25  % CPUTime  : 
% 0.17/0.33  %----Proving TH0
% 78.30/78.54  --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 90s...
% 78.30/78.54  % SZS status Theorem
% 78.30/78.54  % SZS output start Proof
% 78.30/78.54  (
% 78.30/78.54  (declare-sort tptp.b 0)
% 78.30/78.54  (declare-sort tptp.a 0)
% 78.30/78.54  (define @t1 () (@var "R" (-> tptp.a Bool)))
% 78.30/78.54  (define @t2 () (@var "T" (-> (-> tptp.a Bool) Bool)))
% 78.30/78.54  (define @t3 () (_ @t2 @t1))
% 78.30/78.54  (define @t4 () (@var "Xx" tptp.a))
% 78.30/78.54  (define @t5 () (@var "Y" (-> tptp.a Bool)))
% 78.30/78.54  (define @t6 () (_ @t5 @t4))
% 78.30/78.54  (define @t7 () (not @t6))
% 78.30/78.54  (define @t8 () (@list @t4))
% 78.30/78.54  (define @t9 () (lambda @t8 @t7))
% 78.30/78.54  (define @t10 () (= @t1 @t9))
% 78.30/78.54  (define @t11 () (@list @t1))
% 78.30/78.54  (define @t12 () (forall @t11 (=> @t10 @t3)))
% 78.30/78.54  (define @t13 () (@var "Xb" tptp.a))
% 78.30/78.54  (define @t14 () (@var "Xf" (-> tptp.a tptp.b)))
% 78.30/78.54  (define @t15 () (_ @t14 @t13))
% 78.30/78.54  (define @t16 () (@var "X" (-> tptp.b Bool)))
% 78.30/78.54  (define @t17 () (_ @t16 @t15))
% 78.30/78.54  (define @t18 () (@list @t13))
% 78.30/78.54  (define @t19 () (lambda @t18 @t17))
% 78.30/78.54  (define @t20 () (= @t5 @t19))
% 78.30/78.54  (define @t21 () (=> @t20 @t12))
% 78.30/78.54  (define @t22 () (@list @t5))
% 78.30/78.54  (define @t23 () (forall @t22 @t21))
% 78.30/78.54  (define @t24 () (@var "R" (-> tptp.b Bool)))
% 78.30/78.54  (define @t25 () (@var "S" (-> (-> tptp.b Bool) Bool)))
% 78.30/78.54  (define @t26 () (_ @t25 @t24))
% 78.30/78.54  (define @t27 () (@var "Xx" tptp.b))
% 78.30/78.54  (define @t28 () (_ @t16 @t27))
% 78.30/78.54  (define @t29 () (not @t28))
% 78.30/78.54  (define @t30 () (@list @t27))
% 78.30/78.54  (define @t31 () (lambda @t30 @t29))
% 78.30/78.54  (define @t32 () (= @t24 @t31))
% 78.30/78.54  (define @t33 () (@list @t24))
% 78.30/78.54  (define @t34 () (forall @t33 (=> @t32 @t26)))
% 78.30/78.54  (define @t35 () (=> @t34 @t23))
% 78.30/78.54  (define @t36 () (@list @t16))
% 78.30/78.54  (define @t37 () (forall @t36 @t35))
% 78.30/78.54  (define @t38 () (_ @t2 @t5))
% 78.30/78.54  (define @t39 () (forall @t22 (=> @t20 @t38)))
% 78.30/78.54  (define @t40 () (_ @t25 @t16))
% 78.30/78.54  (define @t41 () (=> @t40 @t39))
% 78.30/78.54  (define @t42 () (forall @t36 @t41))
% 78.30/78.54  (define @t43 () (@var "S0" (-> tptp.b Bool)))
% 78.30/78.54  (define @t44 () (_ @t25 @t43))
% 78.30/78.54  (define @t45 () (@var "Z" (-> tptp.b Bool)))
% 78.30/78.54  (define @t46 () (_ @t45 @t27))
% 78.30/78.54  (define @t47 () (@var "Y" (-> tptp.b Bool)))
% 78.30/78.54  (define @t48 () (_ @t47 @t27))
% 78.30/78.54  (define @t49 () (and @t48 @t46))
% 78.30/78.54  (define @t50 () (lambda @t30 @t49))
% 78.30/78.54  (define @t51 () (= @t43 @t50))
% 78.30/78.54  (define @t52 () (_ @t25 @t45))
% 78.30/78.54  (define @t53 () (_ @t25 @t47))
% 78.30/78.54  (define @t54 () (and @t53 @t52 @t51))
% 78.30/78.54  (define @t55 () (@list @t47 @t45 @t43))
% 78.30/78.54  (define @t56 () (forall @t55 (=> @t54 @t44)))
% 78.30/78.54  (define @t57 () (_ @t43 @t27))
% 78.30/78.54  (define @t58 () (@var "K" (-> (-> tptp.b Bool) Bool)))
% 78.30/78.54  (define @t59 () (_ @t58 @t43))
% 78.30/78.54  (define @t60 () (and @t59 @t57))
% 78.30/78.54  (define @t61 () (@list @t43))
% 78.30/78.54  (define @t62 () (exists @t61 @t60))
% 78.30/78.54  (define @t63 () (lambda @t30 @t62))
% 78.30/78.54  (define @t64 () (= @t24 @t63))
% 78.30/78.54  (define @t65 () (@var "Xx" (-> tptp.b Bool)))
% 78.30/78.54  (define @t66 () (_ @t25 @t65))
% 78.30/78.54  (define @t67 () (_ @t58 @t65))
% 78.30/78.54  (define @t68 () (@list @t65))
% 78.30/78.54  (define @t69 () (forall @t68 (=> @t67 @t66)))
% 78.30/78.54  (define @t70 () (and @t69 @t64))
% 78.30/78.54  (define @t71 () (=> @t70 @t26))
% 78.30/78.54  (define @t72 () (@list @t58 @t24))
% 78.30/78.54  (define @t73 () (forall @t72 @t71))
% 78.30/78.54  (define @t74 () (not false))
% 78.30/78.54  (define @t75 () (lambda @t30 @t74))
% 78.30/78.54  (define @t76 () (= @t24 @t75))
% 78.30/78.54  (define @t77 () (=> @t76 @t26))
% 78.30/78.54  (define @t78 () (forall @t33 @t77))
% 78.30/78.54  (define @t79 () (lambda @t30 false))
% 78.30/78.54  (define @t80 () (= @t24 @t79))
% 78.30/78.54  (define @t81 () (=> @t80 @t26))
% 78.30/78.54  (define @t82 () (forall @t33 @t81))
% 78.30/78.54  (define @t83 () (@var "S0" (-> tptp.a Bool)))
% 78.30/78.54  (define @t84 () (_ @t2 @t83))
% 78.30/78.54  (define @t85 () (@var "Z" (-> tptp.a Bool)))
% 78.30/78.54  (define @t86 () (_ @t85 @t4))
% 78.30/78.54  (define @t87 () (and @t6 @t86))
% 78.30/78.54  (define @t88 () (lambda @t8 @t87))
% 78.30/78.54  (define @t89 () (= @t83 @t88))
% 78.30/78.54  (define @t90 () (_ @t2 @t85))
% 78.30/78.54  (define @t91 () (and @t38 @t90 @t89))
% 78.30/78.54  (define @t92 () (@list @t5 @t85 @t83))
% 78.30/78.54  (define @t93 () (forall @t92 (=> @t91 @t84)))
% 78.30/78.54  (define @t94 () (_ @t83 @t4))
% 78.30/78.54  (define @t95 () (@var "K" (-> (-> tptp.a Bool) Bool)))
% 78.30/78.54  (define @t96 () (_ @t95 @t83))
% 78.30/78.54  (define @t97 () (and @t96 @t94))
% 78.30/78.54  (define @t98 () (@list @t83))
% 78.30/78.54  (define @t99 () (exists @t98 @t97))
% 78.30/78.54  (define @t100 () (lambda @t8 @t99))
% 78.30/78.54  (define @t101 () (= @t1 @t100))
% 78.30/78.54  (define @t102 () (@var "Xx" (-> tptp.a Bool)))
% 78.30/78.54  (define @t103 () (_ @t2 @t102))
% 78.30/78.54  (define @t104 () (_ @t95 @t102))
% 78.30/78.54  (define @t105 () (@list @t102))
% 78.30/78.54  (define @t106 () (forall @t105 (=> @t104 @t103)))
% 78.30/78.54  (define @t107 () (and @t106 @t101))
% 78.30/78.54  (define @t108 () (=> @t107 @t3))
% 78.30/78.54  (define @t109 () (@list @t95 @t1))
% 78.30/78.54  (define @t110 () (forall @t109 @t108))
% 78.30/78.54  (define @t111 () (lambda @t8 @t74))
% 78.30/78.54  (define @t112 () (= @t1 @t111))
% 78.30/78.54  (define @t113 () (=> @t112 @t3))
% 78.30/78.54  (define @t114 () (forall @t11 @t113))
% 78.30/78.54  (define @t115 () (lambda @t8 false))
% 78.30/78.54  (define @t116 () (= @t1 @t115))
% 78.30/78.54  (define @t117 () (=> @t116 @t3))
% 78.30/78.54  (define @t118 () (forall @t11 @t117))
% 78.30/78.54  (define @t119 () (and @t118 @t114 @t110 @t93 @t82 @t78 @t73 @t56 @t42))
% 78.30/78.54  (define @t120 () (=> @t119 @t37))
% 78.30/78.54  (define @t121 () (@list @t2 @t25 @t14))
% 78.30/78.54  (define @t122 () (forall @t121 @t120))
% 78.30/78.54  (define @t123 () (not @t122))
% 78.30/78.54  (define @t124 () (@var "BOUND_VARIABLE_8079" tptp.b))
% 78.30/78.54  (define @t125 () (lambda (@list @t124) true))
% 78.30/78.54  (define @t126 () (@purify @t125))
% 78.30/78.54  (define @t127 () (_ @t14 @t4))
% 78.30/78.54  (define @t128 () (@var "BOUND_VARIABLE_7846" (-> tptp.b Bool)))
% 78.30/78.54  (define @t129 () (_ @t2 (lambda @t8 (not (_ @t128 @t127)))))
% 78.30/78.54  (define @t130 () (not (_ @t25 (lambda @t30 (not (_ @t128 @t27))))))
% 78.30/78.54  (define @t131 () (_ @t14 @t13))
% 78.30/78.54  (define @t132 () (_ @t16 @t131))
% 78.30/78.54  (define @t133 () (lambda @t18 @t132))
% 78.30/78.54  (define @t134 () (_ @t2 @t133))
% 78.30/78.54  (define @t135 () (_ @t25 @t16))
% 78.30/78.54  (define @t136 () (forall @t36 (or (not @t135) @t134)))
% 78.30/78.54  (define @t137 () (not @t136))
% 78.30/78.54  (define @t138 () (_ @t45 @t27))
% 78.30/78.54  (define @t139 () (_ @t47 @t27))
% 78.30/78.54  (define @t140 () (lambda @t30 (and @t139 @t138)))
% 78.30/78.54  (define @t141 () (_ @t25 @t140))
% 78.30/78.54  (define @t142 () (_ @t25 @t45))
% 78.30/78.54  (define @t143 () (not @t142))
% 78.30/78.54  (define @t144 () (_ @t25 @t47))
% 78.30/78.54  (define @t145 () (not @t144))
% 78.30/78.54  (define @t146 () (or @t145 @t143 @t141))
% 78.30/78.54  (define @t147 () (@list @t47 @t45))
% 78.30/78.54  (define @t148 () (forall @t147 @t146))
% 78.30/78.54  (define @t149 () (not @t148))
% 78.30/78.54  (define @t150 () (_ @t43 @t27))
% 78.30/78.54  (define @t151 () (_ @t58 @t43))
% 78.30/78.54  (define @t152 () (lambda @t30 (not (forall @t61 (or (not @t151) (not @t150))))))
% 78.30/78.54  (define @t153 () (_ @t25 @t152))
% 78.30/78.54  (define @t154 () (_ @t25 @t65))
% 78.30/78.54  (define @t155 () (_ @t58 @t65))
% 78.30/78.54  (define @t156 () (not @t155))
% 78.30/78.54  (define @t157 () (forall @t68 (or @t156 @t154)))
% 78.30/78.54  (define @t158 () (not @t157))
% 78.30/78.54  (define @t159 () (or @t158 @t153))
% 78.30/78.54  (define @t160 () (@list @t58))
% 78.30/78.54  (define @t161 () (forall @t160 @t159))
% 78.30/78.54  (define @t162 () (not @t161))
% 78.30/78.54  (define @t163 () (_ @t25 @t125))
% 78.30/78.54  (define @t164 () (not @t163))
% 78.30/78.54  (define @t165 () (@var "BOUND_VARIABLE_8089" tptp.b))
% 78.30/78.54  (define @t166 () (lambda (@list @t165) false))
% 78.30/78.54  (define @t167 () (_ @t25 @t166))
% 78.30/78.54  (define @t168 () (not @t167))
% 78.30/78.54  (define @t169 () (_ @t85 @t4))
% 78.30/78.54  (define @t170 () (_ @t5 @t4))
% 78.30/78.54  (define @t171 () (lambda @t8 (and @t170 @t169)))
% 78.30/78.54  (define @t172 () (_ @t2 @t171))
% 78.30/78.54  (define @t173 () (_ @t2 @t85))
% 78.30/78.54  (define @t174 () (not @t173))
% 78.30/78.54  (define @t175 () (_ @t2 @t5))
% 78.30/78.54  (define @t176 () (not @t175))
% 78.30/78.54  (define @t177 () (or @t176 @t174 @t172))
% 78.30/78.54  (define @t178 () (@list @t5 @t85))
% 78.30/78.54  (define @t179 () (forall @t178 @t177))
% 78.30/78.54  (define @t180 () (not @t179))
% 78.30/78.54  (define @t181 () (_ @t83 @t4))
% 78.30/78.54  (define @t182 () (_ @t95 @t83))
% 78.30/78.54  (define @t183 () (lambda @t8 (not (forall @t98 (or (not @t182) (not @t181))))))
% 78.30/78.54  (define @t184 () (_ @t2 @t183))
% 78.30/78.54  (define @t185 () (_ @t2 @t102))
% 78.30/78.54  (define @t186 () (_ @t95 @t102))
% 78.30/78.54  (define @t187 () (not @t186))
% 78.30/78.54  (define @t188 () (forall @t105 (or @t187 @t185)))
% 78.30/78.54  (define @t189 () (not @t188))
% 78.30/78.54  (define @t190 () (or @t189 @t184))
% 78.30/78.54  (define @t191 () (@list @t95))
% 78.30/78.54  (define @t192 () (forall @t191 @t190))
% 78.30/78.54  (define @t193 () (not @t192))
% 78.30/78.54  (define @t194 () (@var "BOUND_VARIABLE_8099" tptp.a))
% 78.30/78.54  (define @t195 () (lambda (@list @t194) true))
% 78.30/78.54  (define @t196 () (_ @t2 @t195))
% 78.30/78.54  (define @t197 () (not @t196))
% 78.30/78.54  (define @t198 () (@var "BOUND_VARIABLE_8109" tptp.a))
% 78.30/78.54  (define @t199 () (lambda (@list @t198) false))
% 78.30/78.54  (define @t200 () (_ @t2 @t199))
% 78.30/78.54  (define @t201 () (not @t200))
% 78.30/78.54  (define @t202 () (or @t201 @t197 @t193 @t180 @t168 @t164 @t162 @t149 @t137 @t130 @t129))
% 78.30/78.54  (define @t203 () (@list @t2 @t25 @t14 @t128))
% 78.30/78.54  (define @t204 () (forall @t203 @t202))
% 78.30/78.54  (define @t205 () (@quantifiers_skolemize @t204 3))
% 78.30/78.54  (define @t206 () (not (_ @t205 @t27)))
% 78.30/78.54  (define @t207 () (lambda @t30 @t206))
% 78.30/78.54  (define @t208 () (@purify @t207))
% 78.30/78.54  (define @t209 () (_ @t208 @t27))
% 78.30/78.54  (define @t210 () (and @t209 (_ @t126 @t27)))
% 78.30/78.54  (define @t211 () (lambda @t30 @t210))
% 78.30/78.54  (define @t212 () (@purify @t211))
% 78.30/78.54  (define @t213 () (_ @t212 @t27))
% 78.30/78.54  (define @t214 () (_ @t211 @t27))
% 78.30/78.54  (define @t215 () (= @t213 @t214))
% 78.30/78.54  (define @t216 () (forall @t30 @t215))
% 78.30/78.54  (define @t217 () (@const 0 tptp.b))
% 78.30/78.54  (define @t218 () (_ @t212 @t217))
% 78.30/78.54  (define @t219 () (_ @t208 @t217))
% 78.30/78.54  (define @t220 () (_ @t125 @t217))
% 78.30/78.54  (define @t221 () (_ @t126 @t217))
% 78.30/78.54  (define @t222 () (and @t219 @t221))
% 78.30/78.54  (define @t223 () (= @t218 @t222))
% 78.30/78.54  (define @t224 () (forall @t30 (= @t210 @t213)))
% 78.30/78.54  (define @t225 () (= @t222 @t218))
% 78.30/78.54  (define @t226 () (= @t219 @t218))
% 78.30/78.54  (define @t227 () (@list false))
% 78.30/78.54  (define @t228 () (not (_ @t205 @t217)))
% 78.30/78.54  (define @t229 () (_ @t207 @t217))
% 78.30/78.54  (define @t230 () (@var "BOUND_VARIABLE_260469" tptp.b))
% 78.30/78.54  (define @t231 () (lambda (@list @t230) (not (_ @t205 @t230))))
% 78.30/78.54  (define @t232 () (_ @t231 @t217))
% 78.30/78.54  (define @t233 () (and @t232 @t220))
% 78.30/78.54  (define @t234 () (_ @t125 @t27))
% 78.30/78.54  (define @t235 () (@list @t27))
% 78.30/78.54  (define @t236 () (_ @t207 @t27))
% 78.30/78.54  (define @t237 () (and @t236 @t234))
% 78.30/78.54  (define @t238 () (lambda @t30 @t237))
% 78.30/78.54  (define @t239 () (_ @t238 @t217))
% 78.30/78.54  (define @t240 () (not (= @t229 @t239)))
% 78.30/78.54  (define @t241 () (= @t207 @t238))
% 78.30/78.54  (define @t242 () (not @t226))
% 78.30/78.54  (define @t243 () (= @t208 @t212))
% 78.30/78.54  (define @t244 () (@quantifiers_skolemize @t204 2))
% 78.30/78.54  (define @t245 () (_ @t244 @t13))
% 78.30/78.54  (define @t246 () (_ @t212 @t245))
% 78.30/78.54  (define @t247 () (lambda @t18 @t246))
% 78.30/78.54  (define @t248 () (@purify @t247))
% 78.30/78.54  (define @t249 () (_ @t248 @t13))
% 78.30/78.54  (define @t250 () (_ @t247 @t13))
% 78.30/78.54  (define @t251 () (= @t249 @t250))
% 78.30/78.54  (define @t252 () (forall @t18 @t251))
% 78.30/78.54  (define @t253 () (@const 1 tptp.a))
% 78.30/78.54  (define @t254 () (_ @t244 @t253))
% 78.30/78.54  (define @t255 () (_ @t212 @t254))
% 78.30/78.54  (define @t256 () (_ @t248 @t253))
% 78.30/78.54  (define @t257 () (forall @t18 (= @t246 @t249)))
% 78.30/78.54  (define @t258 () (= @t255 @t256))
% 78.30/78.54  (define @t259 () (@list @t253))
% 78.30/78.54  (define @t260 () (= @t256 @t255))
% 78.30/78.54  (define @t261 () (or @t130 @t129))
% 78.30/78.54  (define @t262 () (or @t201 @t197 @t193 @t180 @t168 @t164 @t162 @t149 @t137 @t261))
% 78.30/78.54  (define @t263 () (forall @t203 @t262))
% 78.30/78.54  (define @t264 () (@list @t128))
% 78.30/78.54  (define @t265 () (forall @t264 @t262))
% 78.30/78.54  (define @t266 () (forall @t264 @t261))
% 78.30/78.54  (define @t267 () (or @t201 @t197 @t193 @t180 @t168 @t164 @t162 @t149 @t137 @t266))
% 78.30/78.54  (define @t268 () (_ @t16 @t127))
% 78.30/78.54  (define @t269 () (_ @t2 (lambda @t8 (not @t268))))
% 78.30/78.54  (define @t270 () (_ @t16 @t27))
% 78.30/78.54  (define @t271 () (lambda @t30 (not @t270)))
% 78.30/78.54  (define @t272 () (_ @t25 @t271))
% 78.30/78.54  (define @t273 () (forall @t36 (or (not @t272) @t269)))
% 78.30/78.54  (define @t274 () (or @t201 @t197 @t193 @t180 @t168 @t164 @t162 @t149 @t137 @t273))
% 78.30/78.54  (define @t275 () (or @t201 @t197 @t193 @t180 @t168 @t164 @t162 @t149 @t137))
% 78.30/78.54  (define @t276 () (and @t200 @t196 @t192 @t179 @t167 @t163 @t161 @t148 @t136))
% 78.30/78.54  (define @t277 () (_ @t133 @t4))
% 78.30/78.54  (define @t278 () (not @t277))
% 78.30/78.54  (define @t279 () (lambda @t8 @t278))
% 78.30/78.54  (define @t280 () (_ @t2 @t279))
% 78.30/78.54  (define @t281 () (not (= @t133 @t133)))
% 78.30/78.54  (define @t282 () (or @t281 @t280))
% 78.30/78.54  (define @t283 () (lambda @t8 (not @t170)))
% 78.30/78.54  (define @t284 () (_ @t2 @t283))
% 78.30/78.54  (define @t285 () (not (= @t5 @t133)))
% 78.30/78.54  (define @t286 () (or @t285 @t285 @t284))
% 78.30/78.54  (define @t287 () (or @t285 @t284))
% 78.30/78.54  (define @t288 () (not @t20))
% 78.30/78.54  (define @t289 () (or @t288 @t284))
% 78.30/78.54  (define @t290 () (not (= @t283 @t283)))
% 78.30/78.54  (define @t291 () (or @t290 @t284))
% 78.30/78.54  (define @t292 () (_ @t2 @t1))
% 78.30/78.54  (define @t293 () (not (= @t1 @t283)))
% 78.30/78.54  (define @t294 () (or @t293 @t293 @t292))
% 78.30/78.54  (define @t295 () (or @t293 @t292))
% 78.30/78.54  (define @t296 () (not @t10))
% 78.30/78.54  (define @t297 () (or @t296 @t3))
% 78.30/78.54  (define @t298 () (not (= @t271 @t271)))
% 78.30/78.54  (define @t299 () (or @t298 @t272))
% 78.30/78.54  (define @t300 () (_ @t25 @t24))
% 78.30/78.54  (define @t301 () (not (= @t24 @t271)))
% 78.30/78.54  (define @t302 () (or @t301 @t301 @t300))
% 78.30/78.54  (define @t303 () (or @t301 @t300))
% 78.30/78.54  (define @t304 () (not @t32))
% 78.30/78.54  (define @t305 () (or @t304 @t26))
% 78.30/78.54  (define @t306 () (not @t40))
% 78.30/78.54  (define @t307 () (or @t306 @t134))
% 78.30/78.54  (define @t308 () (or @t281 @t134))
% 78.30/78.54  (define @t309 () (or @t285 @t285 @t175))
% 78.30/78.54  (define @t310 () (or @t285 @t175))
% 78.30/78.54  (define @t311 () (or @t288 @t38))
% 78.30/78.54  (define @t312 () (not (= @t140 @t140)))
% 78.30/78.54  (define @t313 () (or @t145 @t143 @t312 @t141))
% 78.30/78.54  (define @t314 () (_ @t25 @t43))
% 78.30/78.54  (define @t315 () (not (= @t43 @t140)))
% 78.30/78.54  (define @t316 () (or @t315 @t145 @t143 @t315 @t314))
% 78.30/78.54  (define @t317 () (or @t145 @t143 @t315 @t314))
% 78.30/78.54  (define @t318 () (forall @t61 @t317))
% 78.30/78.54  (define @t319 () (forall @t147 @t318))
% 78.30/78.54  (define @t320 () (not @t51))
% 78.30/78.54  (define @t321 () (not @t52))
% 78.30/78.54  (define @t322 () (not @t53))
% 78.30/78.54  (define @t323 () (or @t322 @t321 @t320 @t44))
% 78.30/78.54  (define @t324 () (or @t322 @t321 @t320))
% 78.30/78.54  (define @t325 () (not (= @t152 @t152)))
% 78.30/78.54  (define @t326 () (or @t158 @t325 @t153))
% 78.30/78.54  (define @t327 () (= @t24 @t152))
% 78.30/78.54  (define @t328 () (not @t327))
% 78.30/78.54  (define @t329 () (or @t328 @t158 @t328 @t300))
% 78.30/78.54  (define @t330 () (or @t158 @t328 @t300))
% 78.30/78.54  (define @t331 () (forall @t33 @t330))
% 78.30/78.54  (define @t332 () (forall @t160 @t331))
% 78.30/78.54  (define @t333 () (or @t158 @t328 @t26))
% 78.30/78.54  (define @t334 () (and @t157 @t327))
% 78.30/78.54  (define @t335 () (not @t57))
% 78.30/78.54  (define @t336 () (not @t59))
% 78.30/78.54  (define @t337 () (or @t336 @t335))
% 78.30/78.54  (define @t338 () (forall @t61 (not @t60)))
% 78.30/78.54  (define @t339 () (not @t338))
% 78.30/78.54  (define @t340 () (not @t67))
% 78.30/78.54  (define @t341 () (or @t340 @t66))
% 78.30/78.54  (define @t342 () (= @t125 @t125))
% 78.30/78.54  (define @t343 () (not @t342))
% 78.30/78.54  (define @t344 () (or @t343 @t163))
% 78.30/78.54  (define @t345 () (= @t24 @t125))
% 78.30/78.54  (define @t346 () (not @t345))
% 78.30/78.54  (define @t347 () (or @t346 @t346 @t300))
% 78.30/78.54  (define @t348 () (or @t346 @t300))
% 78.30/78.54  (define @t349 () (or @t346 @t26))
% 78.30/78.54  (define @t350 () (= @t166 @t166))
% 78.30/78.54  (define @t351 () (not @t350))
% 78.30/78.54  (define @t352 () (or @t351 @t167))
% 78.30/78.54  (define @t353 () (= @t24 @t166))
% 78.30/78.54  (define @t354 () (not @t353))
% 78.30/78.54  (define @t355 () (or @t354 @t354 @t300))
% 78.30/78.54  (define @t356 () (or @t354 @t300))
% 78.30/78.54  (define @t357 () (or @t354 @t26))
% 78.30/78.54  (define @t358 () (not (= @t171 @t171)))
% 78.30/78.54  (define @t359 () (or @t176 @t174 @t358 @t172))
% 78.30/78.54  (define @t360 () (_ @t2 @t83))
% 78.30/78.54  (define @t361 () (not (= @t83 @t171)))
% 78.30/78.54  (define @t362 () (or @t361 @t176 @t174 @t361 @t360))
% 78.30/78.54  (define @t363 () (or @t176 @t174 @t361 @t360))
% 78.30/78.54  (define @t364 () (forall @t98 @t363))
% 78.30/78.54  (define @t365 () (forall @t178 @t364))
% 78.30/78.54  (define @t366 () (not @t89))
% 78.30/78.54  (define @t367 () (not @t90))
% 78.30/78.54  (define @t368 () (not @t38))
% 78.30/78.54  (define @t369 () (or @t368 @t367 @t366 @t84))
% 78.30/78.54  (define @t370 () (or @t368 @t367 @t366))
% 78.30/78.54  (define @t371 () (not (= @t183 @t183)))
% 78.30/78.54  (define @t372 () (or @t189 @t371 @t184))
% 78.30/78.54  (define @t373 () (= @t1 @t183))
% 78.30/78.54  (define @t374 () (not @t373))
% 78.30/78.54  (define @t375 () (or @t374 @t189 @t374 @t292))
% 78.30/78.54  (define @t376 () (or @t189 @t374 @t292))
% 78.30/78.54  (define @t377 () (forall @t11 @t376))
% 78.30/78.54  (define @t378 () (forall @t191 @t377))
% 78.30/78.54  (define @t379 () (or @t189 @t374 @t3))
% 78.30/78.54  (define @t380 () (and @t188 @t373))
% 78.30/78.54  (define @t381 () (not @t94))
% 78.30/78.54  (define @t382 () (not @t96))
% 78.30/78.54  (define @t383 () (or @t382 @t381))
% 78.30/78.54  (define @t384 () (forall @t98 (not @t97)))
% 78.30/78.54  (define @t385 () (not @t384))
% 78.30/78.54  (define @t386 () (not @t104))
% 78.30/78.54  (define @t387 () (or @t386 @t103))
% 78.30/78.54  (define @t388 () (= @t195 @t195))
% 78.30/78.54  (define @t389 () (not @t388))
% 78.30/78.54  (define @t390 () (or @t389 @t196))
% 78.30/78.54  (define @t391 () (= @t1 @t195))
% 78.30/78.54  (define @t392 () (not @t391))
% 78.30/78.54  (define @t393 () (or @t392 @t392 @t292))
% 78.30/78.54  (define @t394 () (or @t392 @t292))
% 78.30/78.54  (define @t395 () (or @t392 @t3))
% 78.30/78.54  (define @t396 () (@list @t4))
% 78.30/78.54  (define @t397 () (= @t199 @t199))
% 78.30/78.54  (define @t398 () (not @t397))
% 78.30/78.54  (define @t399 () (or @t398 @t200))
% 78.30/78.54  (define @t400 () (= @t1 @t199))
% 78.30/78.54  (define @t401 () (not @t400))
% 78.30/78.54  (define @t402 () (or @t401 @t401 @t292))
% 78.30/78.54  (define @t403 () (or @t401 @t292))
% 78.30/78.54  (define @t404 () (or @t401 @t3))
% 78.30/78.54  (define @t405 () (not (_ @t205 (_ @t244 @t4))))
% 78.30/78.54  (define @t406 () (lambda @t8 @t405))
% 78.30/78.54  (define @t407 () (@purify @t406))
% 78.30/78.54  (define @t408 () (@quantifiers_skolemize @t204 0))
% 78.30/78.54  (define @t409 () (_ @t408 @t407))
% 78.30/78.54  (define @t410 () (@quantifiers_skolemize @t204 1))
% 78.30/78.54  (define @t411 () (_ @t410 @t208))
% 78.30/78.54  (define @t412 () (not @t411))
% 78.30/78.54  (define @t413 () (forall @t36 (or (not (_ @t410 @t16)) (_ @t408 (lambda @t18 (_ @t16 @t245))))))
% 78.30/78.54  (define @t414 () (not @t413))
% 78.30/78.54  (define @t415 () (forall @t147 (or (not (_ @t410 @t47)) (not (_ @t410 @t45)) (_ @t410 @t140))))
% 78.30/78.54  (define @t416 () (not @t415))
% 78.30/78.54  (define @t417 () (not (forall @t160 (or (not (forall @t68 (or @t156 (_ @t410 @t65)))) (_ @t410 @t152)))))
% 78.30/78.54  (define @t418 () (_ @t410 @t126))
% 78.30/78.54  (define @t419 () (not @t418))
% 78.30/78.54  (define @t420 () (@purify @t166))
% 78.30/78.54  (define @t421 () (not (forall @t178 (or (not (_ @t408 @t5)) (not (_ @t408 @t85)) (_ @t408 @t171)))))
% 78.30/78.54  (define @t422 () (not (forall @t191 (or (not (forall @t105 (or @t187 (_ @t408 @t102)))) (_ @t408 @t183)))))
% 78.30/78.54  (define @t423 () (@purify @t195))
% 78.30/78.54  (define @t424 () (@purify @t199))
% 78.30/78.54  (define @t425 () (or (not (_ @t408 @t424)) (not (_ @t408 @t423)) @t422 @t421 (not (_ @t410 @t420)) @t419 @t417 @t416 @t414 @t412 @t409))
% 78.30/78.54  (define @t426 () (not @t425))
% 78.30/78.54  (define @t427 () (not @t204))
% 78.30/78.54  (define @t428 () (_ @t408 @t406))
% 78.30/78.54  (define @t429 () (_ @t410 @t207))
% 78.30/78.54  (define @t430 () (not @t429))
% 78.30/78.54  (define @t431 () (_ @t410 @t125))
% 78.30/78.54  (define @t432 () (not @t431))
% 78.30/78.54  (define @t433 () (_ @t410 @t166))
% 78.30/78.54  (define @t434 () (not @t433))
% 78.30/78.54  (define @t435 () (_ @t408 @t195))
% 78.30/78.54  (define @t436 () (not @t435))
% 78.30/78.54  (define @t437 () (_ @t408 @t199))
% 78.30/78.54  (define @t438 () (not @t437))
% 78.30/78.54  (define @t439 () (or @t438 @t436 @t422 @t421 @t434 @t432 @t417 @t416 @t414 @t430 @t428))
% 78.30/78.54  (define @t440 () (not @t439))
% 78.30/78.54  (define @t441 () (@list true))
% 78.30/78.54  (define @t442 () (@list @t425))
% 78.30/78.54  (define @t443 () (_ @t408 @t247))
% 78.30/78.54  (define @t444 () (_ @t410 @t212))
% 78.30/78.54  (define @t445 () (not @t444))
% 78.30/78.54  (define @t446 () (or @t445 @t443))
% 78.30/78.54  (define @t447 () (_ @t408 @t248))
% 78.30/78.54  (define @t448 () (or @t445 @t447))
% 78.30/78.54  (define @t449 () (_ @t410 @t211))
% 78.30/78.54  (define @t450 () (or @t412 @t419 @t449))
% 78.30/78.54  (define @t451 () (or @t412 @t419 @t444))
% 78.30/78.54  (define @t452 () (@list false false))
% 78.30/78.54  (define @t453 () (not @t409))
% 78.30/78.54  (define @t454 () (= @t407 @t248))
% 78.30/78.54  (define @t455 () (not @t454))
% 78.30/78.54  (define @t456 () (not @t447))
% 78.30/78.54  (define @t457 () (and @t453 @t454 @t447))
% 78.30/78.54  (define @t458 () (@list true false))
% 78.30/78.54  (define @t459 () (_ @t407 @t253))
% 78.30/78.54  (define @t460 () (= @t459 @t256))
% 78.30/78.54  (define @t461 () (not @t460))
% 78.30/78.54  (define @t462 () (_ @t407 @t4))
% 78.30/78.54  (define @t463 () (_ @t406 @t4))
% 78.30/78.54  (define @t464 () (= @t462 @t463))
% 78.30/78.54  (define @t465 () (forall @t8 @t464))
% 78.30/78.54  (define @t466 () (_ @t205 @t254))
% 78.30/78.54  (define @t467 () (not @t466))
% 78.30/78.54  (define @t468 () (forall @t8 (= @t405 @t462)))
% 78.30/78.54  (define @t469 () (= @t467 @t459))
% 78.30/78.54  (define @t470 () (= @t459 @t467))
% 78.30/78.54  (define @t471 () (not @t470))
% 78.30/78.54  (define @t472 () (not @t459))
% 78.30/78.54  (define @t473 () (not @t260))
% 78.30/78.54  (define @t474 () (not @t255))
% 78.30/78.54  (define @t475 () (= @t209 @t236))
% 78.30/78.54  (define @t476 () (forall @t30 @t475))
% 78.30/78.54  (define @t477 () (_ @t208 @t254))
% 78.30/78.54  (define @t478 () (= @t467 @t477))
% 78.30/78.54  (define @t479 () (not @t478))
% 78.30/78.54  (define @t480 () (not @t467))
% 78.30/78.54  (define @t481 () (not @t477))
% 78.30/78.54  (define @t482 () (not @t243))
% 78.30/78.54  (define @t483 () (and @t243 @t474))
% 78.30/78.54  (define @t484 () (and @t243 @t255))
% 78.30/78.54  (assume @p1 @t123)
% 78.30/78.54  (assume @p2 true)
% 78.30/78.54  (step @p3 :rule eq-symm :args (@t213 @t210))
% 78.30/78.54  (step @p4 :rule beta-reduce :args ((= @t214 @t210)))
% 78.30/78.54  (step @p5 :rule refl :args (@t213))
% 78.30/78.54  (step @p6 :rule cong :premises (@p5 @p4) :args (@t215))
% 78.30/78.54  (step @p7 :rule trans :premises (@p6 @p3))
% 78.30/78.54  (step @p8 :rule cong :premises (@p7) :args (@t216))
% 78.30/78.54  (step @p9 :rule quant-unused-vars :args ((= (forall @t30 true) true)))
% 78.30/78.54  (step @p10 :rule eq-refl :args (@t214))
% 78.30/78.54  (step @p11 :rule cong :premises (@p10) :args ((forall @t30 (= @t214 @t214))))
% 78.30/78.54  (step @p12 :rule trans :premises (@p11 @p9))
% 78.30/78.54  (step @p13 :rule refl :args (@t214))
% 78.30/78.54  (step @p14 :rule refl :args (@t27))
% 78.30/78.54  (step @p15 :rule skolem_intro :args (@t212))
% 78.30/78.54  (step @p16 :rule ho_cong :premises (@p15 @p14))
% 78.30/78.54  (step @p17 :rule cong :premises (@p16 @p13) :args (@t215))
% 78.30/78.54  (step @p18 :rule cong :premises (@p17) :args (@t216))
% 78.30/78.54  (step @p19 :rule trans :premises (@p18 @p12))
% 78.30/78.54  (step @p20 :rule true_elim :premises (@p19))
% 78.30/78.54  (step @p21 :rule eq_resolve :premises (@p20 @p8))
% 78.30/78.54  (step @p22 :rule eq-symm :args (@t218 @t219))
% 78.30/78.54  (step @p23 :rule aci_norm :args ((= (and @t219 true) @t219)))
% 78.30/78.54  (step @p24 :rule beta-reduce :args ((= @t220 true)))
% 78.30/78.54  (step @p25 :rule refl :args (@t217))
% 78.30/78.54  (step @p26 :rule skolem_intro :args (@t126))
% 78.30/78.54  (step @p27 :rule ho_cong :premises (@p26 @p25))
% 78.30/78.54  (step @p28 :rule bool-eq-true :args (@t221))
% 78.30/78.54  (step @p29 :rule trans :premises (@p28 @p27 @p24))
% 78.30/78.54  (step @p30 :rule true_elim :premises (@p29))
% 78.30/78.54  (step @p31 :rule refl :args (@t219))
% 78.30/78.54  (step @p32 :rule nary_cong :premises (@p31 @p30) :args (@t222))
% 78.30/78.54  (step @p33 :rule trans :premises (@p32 @p23))
% 78.30/78.54  (step @p34 :rule refl :args (@t218))
% 78.30/78.54  (step @p35 :rule cong :premises (@p34 @p33) :args (@t223))
% 78.30/78.54  (step @p36 :rule trans :premises (@p35 @p22))
% 78.30/78.54  (step @p37 :rule refl :args (@t224))
% 78.30/78.54  (step @p38 :rule cong :premises (@p37 @p36) :args ((=> @t224 @t223)))
% 78.30/78.54  (step @p39 :rule eq-symm :args (@t222 @t218))
% 78.30/78.54  (step @p40 :rule cong :premises (@p37 @p39) :args ((=> @t224 @t225)))
% 78.30/78.54  (assume-push @p1018 @t224)
% 78.30/78.54  (step @p42 :rule instantiate :premises (@p21) :args ((@list @t217)))
% 78.30/78.54  (step-pop @p1019 :rule scope :premises (@p42))
% 78.30/78.54  (step @p43 :rule process_scope :premises (@p1019) :args (@t225))
% 78.30/78.54  (step @p45 :rule eq_resolve :premises (@p43 @p40))
% 78.30/78.54  (step @p46 :rule eq_resolve :premises (@p45 @p38))
% 78.30/78.54  (step @p47 :rule implies_elim :premises (@p46))
% 78.30/78.54  (step @p48 :rule chain_m_resolution :premises (@p47 @p21) :args (@t226 @t227 (@list @t224)))
% 78.30/78.54  (step @p49 :rule evaluate :args ((or true false)))
% 78.30/78.54  (step @p50 :rule evaluate :args ((not true)))
% 78.30/78.54  (step @p51 :rule eq-refl :args (@t228))
% 78.30/78.54  (step @p52 :rule beta-reduce :args ((= @t229 @t228)))
% 78.30/78.54  (step @p53 :rule aci_norm :args ((= (and @t228 true) @t228)))
% 78.30/78.54  (step @p54 :rule beta-reduce :args ((= @t232 @t228)))
% 78.30/78.54  (step @p55 :rule nary_cong :premises (@p54 @p24) :args (@t233))
% 78.30/78.54  (step @p56 :rule trans :premises (@p55 @p53))
% 78.30/78.54  (step @p57 :rule beta-reduce :args ((= (_ (lambda @t30 (and (_ @t231 @t27) @t234)) @t217) @t233)))
% 78.30/78.54  (step @p58 :rule trans :premises (@p57 @p56))
% 78.30/78.54  (step @p59 :rule refl :args (@t217))
% 78.30/78.54  (step @p60 :rule refl :args (@t234))
% 78.30/78.54  (step @p61 :rule refl :args (@t27))
% 78.30/78.54  (step @p62 :rule alpha_equiv :args (@t207 @t235 (@list @t230)))
% 78.30/78.54  (step @p63 :rule ho_cong :premises (@p62 @p61))
% 78.30/78.54  (step @p64 :rule nary_cong :premises (@p63 @p60) :args (@t237))
% 78.30/78.54  (step @p65 :rule cong :premises (@p64) :args (@t238))
% 78.30/78.54  (step @p66 :rule ho_cong :premises (@p65 @p59))
% 78.30/78.54  (step @p67 :rule trans :premises (@p66 @p58))
% 78.30/78.54  (step @p68 :rule cong :premises (@p67 @p52) :args ((= @t239 @t229)))
% 78.30/78.54  (step @p69 :rule trans :premises (@p68 @p51))
% 78.30/78.54  (step @p70 :rule eq-symm :args (@t229 @t239))
% 78.30/78.54  (step @p71 :rule trans :premises (@p70 @p69))
% 78.30/78.54  (step @p72 :rule cong :premises (@p71) :args (@t240))
% 78.30/78.54  (step @p73 :rule trans :premises (@p72 @p50))
% 78.30/78.54  (step @p74 :rule eq-refl :args (@t207))
% 78.30/78.54  (step @p75 :rule aci_norm :args ((= (and @t206 true) @t206)))
% 78.30/78.54  (step @p76 :rule beta-reduce :args ((= @t234 true)))
% 78.30/78.54  (step @p77 :rule beta-reduce :args ((= @t236 @t206)))
% 78.30/78.54  (step @p78 :rule nary_cong :premises (@p77 @p76) :args (@t237))
% 78.30/78.54  (step @p79 :rule trans :premises (@p78 @p75))
% 78.30/78.54  (step @p80 :rule cong :premises (@p79) :args (@t238))
% 78.30/78.54  (step @p81 :rule refl :args (@t207))
% 78.30/78.54  (step @p82 :rule cong :premises (@p81 @p80) :args (@t241))
% 78.30/78.54  (step @p83 :rule trans :premises (@p82 @p74))
% 78.30/78.54  (step @p84 :rule nary_cong :premises (@p83 @p73) :args ((or @t241 @t240)))
% 78.30/78.54  (step @p85 :rule trans :premises (@p84 @p49))
% 78.30/78.54  (step @p86 :rule ho_cong :premises (@p26 @p14))
% 78.30/78.54  (step @p87 :rule skolem_intro :args (@t208))
% 78.30/78.54  (step @p88 :rule ho_cong :premises (@p87 @p14))
% 78.30/78.54  (step @p89 :rule nary_cong :premises (@p88 @p86) :args (@t210))
% 78.30/78.54  (step @p90 :rule cong :premises (@p89) :args (@t211))
% 78.30/78.54  (step @p91 :rule trans :premises (@p15 @p90))
% 78.30/78.54  (step @p92 :rule ho_cong :premises (@p91 @p25))
% 78.30/78.54  (step @p93 :rule ho_cong :premises (@p87 @p25))
% 78.30/78.54  (step @p94 :rule cong :premises (@p93 @p92) :args (@t226))
% 78.30/78.54  (step @p95 :rule cong :premises (@p94) :args (@t242))
% 78.30/78.54  (step @p96 :rule cong :premises (@p87 @p91) :args (@t243))
% 78.30/78.54  (step @p97 :rule nary_cong :premises (@p96 @p95) :args ((or @t243 @t242)))
% 78.30/78.54  (step @p98 :rule trans :premises (@p97 @p85))
% 78.30/78.54  (step @p99 :rule true_elim :premises (@p98))
% 78.30/78.54  (step @p100 :rule chain_m_resolution :premises (@p99 @p48) :args (@t243 @t227 (@list @t226)))
% 78.30/78.54  (step @p101 :rule eq-symm :args (@t249 @t246))
% 78.30/78.54  (step @p102 :rule beta-reduce :args ((= @t250 @t246)))
% 78.30/78.54  (step @p103 :rule refl :args (@t249))
% 78.30/78.54  (step @p104 :rule cong :premises (@p103 @p102) :args (@t251))
% 78.30/78.54  (step @p105 :rule trans :premises (@p104 @p101))
% 78.30/78.54  (step @p106 :rule cong :premises (@p105) :args (@t252))
% 78.30/78.54  (step @p107 :rule quant-unused-vars :args ((= (forall @t18 true) true)))
% 78.30/78.54  (step @p108 :rule eq-refl :args (@t250))
% 78.30/78.54  (step @p109 :rule cong :premises (@p108) :args ((forall @t18 (= @t250 @t250))))
% 78.30/78.54  (step @p110 :rule trans :premises (@p109 @p107))
% 78.30/78.54  (step @p111 :rule refl :args (@t250))
% 78.30/78.54  (step @p112 :rule refl :args (@t13))
% 78.30/78.54  (step @p113 :rule skolem_intro :args (@t248))
% 78.30/78.54  (step @p114 :rule ho_cong :premises (@p113 @p112))
% 78.30/78.54  (step @p115 :rule cong :premises (@p114 @p111) :args (@t251))
% 78.30/78.54  (step @p116 :rule cong :premises (@p115) :args (@t252))
% 78.30/78.54  (step @p117 :rule trans :premises (@p116 @p110))
% 78.30/78.54  (step @p118 :rule true_elim :premises (@p117))
% 78.30/78.54  (step @p119 :rule eq_resolve :premises (@p118 @p106))
% 78.30/78.54  (step @p120 :rule eq-symm :args (@t255 @t256))
% 78.30/78.54  (step @p121 :rule refl :args (@t257))
% 78.30/78.54  (step @p122 :rule cong :premises (@p121 @p120) :args ((=> @t257 @t258)))
% 78.30/78.54  (assume-push @p1020 @t257)
% 78.30/78.54  (step @p124 :rule instantiate :premises (@p119) :args (@t259))
% 78.30/78.54  (step-pop @p1021 :rule scope :premises (@p124))
% 78.30/78.54  (step @p125 :rule process_scope :premises (@p1021) :args (@t258))
% 78.30/78.54  (step @p127 :rule eq_resolve :premises (@p125 @p122))
% 78.30/78.54  (step @p128 :rule implies_elim :premises (@p127))
% 78.30/78.54  (step @p129 :rule chain_m_resolution :premises (@p128 @p119) :args (@t260 @t227 (@list @t257)))
% 78.30/78.54  (step @p130 :rule aci_norm :args ((= @t262 @t202)))
% 78.30/78.54  (step @p131 :rule cong :premises (@p130) :args (@t263))
% 78.30/78.54  (step @p132 :rule quant-merge-prenex :args ((= (forall @t121 @t265) @t263)))
% 78.30/78.54  (step @p133 :rule alpha_equiv :args (@t266 (@list @t128) (@list @t16)))
% 78.30/78.54  (step @p134 :rule refl :args (@t137))
% 78.30/78.54  (step @p135 :rule refl :args (@t149))
% 78.30/78.54  (step @p136 :rule refl :args (@t162))
% 78.30/78.54  (step @p137 :rule refl :args (@t164))
% 78.30/78.54  (step @p138 :rule refl :args (@t168))
% 78.30/78.54  (step @p139 :rule refl :args (@t180))
% 78.30/78.54  (step @p140 :rule refl :args (@t193))
% 78.30/78.54  (step @p141 :rule refl :args (@t197))
% 78.30/78.54  (step @p142 :rule refl :args (@t201))
% 78.30/78.54  (step @p143 :rule nary_cong :premises (@p142 @p141 @p140 @p139 @p138 @p137 @p136 @p135 @p134 @p133) :args (@t267))
% 78.30/78.54  (step @p144 :rule quant-miniscope-or :args ((= @t265 @t267)))
% 78.30/78.54  (step @p145 :rule trans :premises (@p144 @p143))
% 78.30/78.54  (step @p146 :rule symm :premises (@p145))
% 78.30/78.54  (step @p147 :rule cong :premises (@p146) :args ((forall @t121 @t274)))
% 78.30/78.54  (step @p148 :rule trans :premises (@p147 @p132))
% 78.30/78.54  (step @p149 :rule trans :premises (@p148 @p131))
% 78.30/78.54  (step @p150 :rule aci_norm :args ((= (or @t275 @t273) @t274)))
% 78.30/78.54  (step @p151 :rule refl :args (@t273))
% 78.30/78.54  (step @p152 :rule aci_norm :args ((= (or @t201 (or @t197 (or @t193 (or @t180 (or @t168 (or @t164 (or @t162 (or @t149 @t137)))))))) @t275)))
% 78.30/78.54  (step @p153 :rule bool-and-de-morgan :args (@t148 @t136 true))
% 78.30/78.54  (step @p154 :rule nary_cong :premises (@p136 @p153) :args ((or @t162 (not (and @t148 @t136)))))
% 78.30/78.54  (step @p155 :rule bool-and-de-morgan :args (@t161 @t148 (and @t136)))
% 78.30/78.54  (step @p156 :rule trans :premises (@p155 @p154))
% 78.30/78.54  (step @p157 :rule nary_cong :premises (@p137 @p156) :args ((or @t164 (not (and @t161 @t148 @t136)))))
% 78.30/78.54  (step @p158 :rule bool-and-de-morgan :args (@t163 @t161 (and @t148 @t136)))
% 78.30/78.54  (step @p159 :rule trans :premises (@p158 @p157))
% 78.30/78.54  (step @p160 :rule nary_cong :premises (@p138 @p159) :args ((or @t168 (not (and @t163 @t161 @t148 @t136)))))
% 78.30/78.54  (step @p161 :rule bool-and-de-morgan :args (@t167 @t163 (and @t161 @t148 @t136)))
% 78.30/78.54  (step @p162 :rule trans :premises (@p161 @p160))
% 78.30/78.54  (step @p163 :rule nary_cong :premises (@p139 @p162) :args ((or @t180 (not (and @t167 @t163 @t161 @t148 @t136)))))
% 78.30/78.54  (step @p164 :rule bool-and-de-morgan :args (@t179 @t167 (and @t163 @t161 @t148 @t136)))
% 78.30/78.54  (step @p165 :rule trans :premises (@p164 @p163))
% 78.30/78.54  (step @p166 :rule nary_cong :premises (@p140 @p165) :args ((or @t193 (not (and @t179 @t167 @t163 @t161 @t148 @t136)))))
% 78.30/78.54  (step @p167 :rule bool-and-de-morgan :args (@t192 @t179 (and @t167 @t163 @t161 @t148 @t136)))
% 78.30/78.54  (step @p168 :rule trans :premises (@p167 @p166))
% 78.30/78.54  (step @p169 :rule nary_cong :premises (@p141 @p168) :args ((or @t197 (not (and @t192 @t179 @t167 @t163 @t161 @t148 @t136)))))
% 78.30/78.54  (step @p170 :rule bool-and-de-morgan :args (@t196 @t192 (and @t179 @t167 @t163 @t161 @t148 @t136)))
% 78.30/78.54  (step @p171 :rule trans :premises (@p170 @p169))
% 78.30/78.54  (step @p172 :rule nary_cong :premises (@p142 @p171) :args ((or @t201 (not (and @t196 @t192 @t179 @t167 @t163 @t161 @t148 @t136)))))
% 78.30/78.54  (step @p173 :rule bool-and-de-morgan :args (@t200 @t196 (and @t192 @t179 @t167 @t163 @t161 @t148 @t136)))
% 78.30/78.54  (step @p174 :rule trans :premises (@p173 @p172))
% 78.30/78.54  (step @p175 :rule trans :premises (@p174 @p152))
% 78.30/78.54  (step @p176 :rule nary_cong :premises (@p175 @p151) :args ((or (not @t276) @t273)))
% 78.30/78.54  (step @p177 :rule trans :premises (@p176 @p150))
% 78.30/78.54  (step @p178 :rule bool-impl-elim :args (@t276 @t273))
% 78.30/78.54  (step @p179 :rule trans :premises (@p178 @p177))
% 78.30/78.54  (step @p180 :rule cong :premises (@p179) :args ((forall @t121 (=> @t276 @t273))))
% 78.30/78.54  (step @p181 :rule trans :premises (@p180 @p149))
% 78.30/78.54  (step @p182 :rule bool-impl-elim :args (@t272 @t269))
% 78.30/78.54  (step @p183 :rule cong :premises (@p182) :args ((forall @t36 (=> @t272 @t269))))
% 78.30/78.54  (step @p184 :rule aci_norm :args ((= (or false @t269) @t269)))
% 78.30/78.54  (step @p185 :rule beta-reduce :args ((= @t277 @t268)))
% 78.30/78.54  (step @p186 :rule cong :premises (@p185) :args (@t278))
% 78.30/78.54  (step @p187 :rule cong :premises (@p186) :args (@t279))
% 78.30/78.54  (step @p188 :rule cong :premises (@p187) :args (@t280))
% 78.30/78.54  (step @p189 :rule eq-refl :args (@t133))
% 78.30/78.54  (step @p190 :rule cong :premises (@p189) :args (@t281))
% 78.30/78.54  (step @p191 :rule trans :premises (@p190 @p50))
% 78.30/78.54  (step @p192 :rule nary_cong :premises (@p191 @p188) :args (@t282))
% 78.30/78.54  (step @p193 :rule trans :premises (@p192 @p184))
% 78.30/78.54  (step @p194 :rule quant-var-elim-eq :args ((= (forall @t22 @t286) @t282)))
% 78.30/78.54  (step @p195 :rule aci_norm :args ((= @t287 @t286)))
% 78.30/78.54  (step @p196 :rule cong :premises (@p195) :args ((forall @t22 @t287)))
% 78.30/78.54  (step @p197 :rule trans :premises (@p196 @p194))
% 78.30/78.54  (step @p198 :rule trans :premises (@p197 @p193))
% 78.30/78.54  (step @p199 :rule refl :args (@t284))
% 78.30/78.54  (step @p200 :rule refl :args ((_ @t16 @t15)))
% 78.30/78.54  (step @p201 :rule refl :args (@t131))
% 78.30/78.54  (step @p202 :rule cong :premises (@p201) :args (@t132))
% 78.30/78.54  (step @p203 :rule trans :premises (@p202 @p200))
% 78.30/78.54  (step @p204 :rule refl :args (@t16))
% 78.30/78.54  (step @p205 :rule ho_cong :premises (@p204 @p201))
% 78.30/78.54  (step @p206 :rule cong :premises (@p205 @p203) :args ((= (_ @t16 @t131) @t132)))
% 78.30/78.54  (step @p207 :rule symm :premises (@p206))
% 78.30/78.54  (step @p208 :rule refl :args (@t17))
% 78.30/78.54  (step @p209 :rule eq_resolve :premises (@p208 @p207))
% 78.30/78.54  (step @p210 :rule refl :args (@t15))
% 78.30/78.54  (step @p211 :rule cong :premises (@p210 @p201) :args ((= @t15 @t131)))
% 78.30/78.54  (step @p212 :rule symm :premises (@p211))
% 78.30/78.54  (step @p213 :rule eq_resolve :premises (@p210 @p212))
% 78.30/78.54  (step @p214 :rule ho_cong :premises (@p204 @p213))
% 78.30/78.54  (step @p215 :rule trans :premises (@p214 @p209))
% 78.30/78.54  (step @p216 :rule cong :premises (@p215) :args (@t19))
% 78.30/78.54  (step @p217 :rule refl :args (@t5))
% 78.30/78.54  (step @p218 :rule cong :premises (@p217 @p216) :args (@t20))
% 78.30/78.54  (step @p219 :rule cong :premises (@p218) :args (@t288))
% 78.30/78.54  (step @p220 :rule nary_cong :premises (@p219 @p199) :args (@t289))
% 78.30/78.54  (step @p221 :rule cong :premises (@p220) :args ((forall @t22 @t289)))
% 78.30/78.54  (step @p222 :rule trans :premises (@p221 @p198))
% 78.30/78.54  (step @p223 :rule bool-impl-elim :args (@t20 @t284))
% 78.30/78.54  (step @p224 :rule cong :premises (@p223) :args ((forall @t22 (=> @t20 @t284))))
% 78.30/78.54  (step @p225 :rule trans :premises (@p224 @p222))
% 78.30/78.54  (step @p226 :rule aci_norm :args ((= (or false @t284) @t284)))
% 78.30/78.54  (step @p227 :rule refl :args (@t284))
% 78.30/78.54  (step @p228 :rule eq-refl :args (@t283))
% 78.30/78.54  (step @p229 :rule cong :premises (@p228) :args (@t290))
% 78.30/78.54  (step @p230 :rule trans :premises (@p229 @p50))
% 78.30/78.54  (step @p231 :rule nary_cong :premises (@p230 @p227) :args (@t291))
% 78.30/78.54  (step @p232 :rule trans :premises (@p231 @p226))
% 78.30/78.54  (step @p233 :rule quant-var-elim-eq :args ((= (forall @t11 @t294) @t291)))
% 78.30/78.54  (step @p234 :rule aci_norm :args ((= @t295 @t294)))
% 78.30/78.54  (step @p235 :rule cong :premises (@p234) :args ((forall @t11 @t295)))
% 78.30/78.54  (step @p236 :rule trans :premises (@p235 @p233))
% 78.30/78.54  (step @p237 :rule trans :premises (@p236 @p232))
% 78.30/78.54  (step @p238 :rule refl :args (@t292))
% 78.30/78.54  (step @p239 :rule refl :args (@t3))
% 78.30/78.54  (step @p240 :rule cong :premises (@p239 @p238) :args ((= @t3 @t292)))
% 78.30/78.54  (step @p241 :rule symm :premises (@p240))
% 78.30/78.54  (step @p242 :rule eq_resolve :premises (@p239 @p241))
% 78.30/78.54  (step @p243 :rule refl :args (@t170))
% 78.30/78.54  (step @p244 :rule refl :args (@t6))
% 78.30/78.54  (step @p245 :rule cong :premises (@p244 @p243) :args ((= @t6 @t170)))
% 78.30/78.54  (step @p246 :rule symm :premises (@p245))
% 78.30/78.54  (step @p247 :rule eq_resolve :premises (@p244 @p246))
% 78.30/78.54  (step @p248 :rule cong :premises (@p247) :args (@t7))
% 78.30/78.54  (step @p249 :rule cong :premises (@p248) :args (@t9))
% 78.30/78.54  (step @p250 :rule refl :args (@t1))
% 78.30/78.54  (step @p251 :rule cong :premises (@p250 @p249) :args (@t10))
% 78.30/78.54  (step @p252 :rule cong :premises (@p251) :args (@t296))
% 78.30/78.54  (step @p253 :rule nary_cong :premises (@p252 @p242) :args (@t297))
% 78.30/78.54  (step @p254 :rule cong :premises (@p253) :args ((forall @t11 @t297)))
% 78.30/78.54  (step @p255 :rule trans :premises (@p254 @p237))
% 78.30/78.54  (step @p256 :rule bool-impl-elim :args (@t10 @t3))
% 78.30/78.54  (step @p257 :rule cong :premises (@p256) :args (@t12))
% 78.30/78.54  (step @p258 :rule trans :premises (@p257 @p255))
% 78.30/78.54  (step @p259 :rule refl :args (@t20))
% 78.30/78.54  (step @p260 :rule cong :premises (@p259 @p258) :args (@t21))
% 78.30/78.54  (step @p261 :rule cong :premises (@p260) :args (@t23))
% 78.30/78.54  (step @p262 :rule trans :premises (@p261 @p225))
% 78.30/78.54  (step @p263 :rule aci_norm :args ((= (or false @t272) @t272)))
% 78.30/78.54  (step @p264 :rule refl :args (@t272))
% 78.30/78.54  (step @p265 :rule eq-refl :args (@t271))
% 78.30/78.54  (step @p266 :rule cong :premises (@p265) :args (@t298))
% 78.30/78.54  (step @p267 :rule trans :premises (@p266 @p50))
% 78.30/78.54  (step @p268 :rule nary_cong :premises (@p267 @p264) :args (@t299))
% 78.30/78.54  (step @p269 :rule trans :premises (@p268 @p263))
% 78.30/78.54  (step @p270 :rule quant-var-elim-eq :args ((= (forall @t33 @t302) @t299)))
% 78.30/78.54  (step @p271 :rule aci_norm :args ((= @t303 @t302)))
% 78.30/78.54  (step @p272 :rule cong :premises (@p271) :args ((forall @t33 @t303)))
% 78.30/78.54  (step @p273 :rule trans :premises (@p272 @p270))
% 78.30/78.54  (step @p274 :rule trans :premises (@p273 @p269))
% 78.30/78.54  (step @p275 :rule refl :args (@t300))
% 78.30/78.54  (step @p276 :rule refl :args (@t26))
% 78.30/78.54  (step @p277 :rule cong :premises (@p276 @p275) :args ((= @t26 @t300)))
% 78.30/78.54  (step @p278 :rule symm :premises (@p277))
% 78.30/78.54  (step @p279 :rule eq_resolve :premises (@p276 @p278))
% 78.30/78.54  (step @p280 :rule refl :args (@t270))
% 78.30/78.54  (step @p281 :rule refl :args (@t28))
% 78.30/78.54  (step @p282 :rule cong :premises (@p281 @p280) :args ((= @t28 @t270)))
% 78.30/78.54  (step @p283 :rule symm :premises (@p282))
% 78.30/78.54  (step @p284 :rule eq_resolve :premises (@p281 @p283))
% 78.30/78.54  (step @p285 :rule cong :premises (@p284) :args (@t29))
% 78.30/78.54  (step @p286 :rule cong :premises (@p285) :args (@t31))
% 78.30/78.54  (step @p287 :rule refl :args (@t24))
% 78.30/78.54  (step @p288 :rule cong :premises (@p287 @p286) :args (@t32))
% 78.30/78.54  (step @p289 :rule cong :premises (@p288) :args (@t304))
% 78.30/78.54  (step @p290 :rule nary_cong :premises (@p289 @p279) :args (@t305))
% 78.30/78.54  (step @p291 :rule cong :premises (@p290) :args ((forall @t33 @t305)))
% 78.30/78.54  (step @p292 :rule trans :premises (@p291 @p274))
% 78.30/78.54  (step @p293 :rule bool-impl-elim :args (@t32 @t26))
% 78.30/78.54  (step @p294 :rule cong :premises (@p293) :args (@t34))
% 78.30/78.54  (step @p295 :rule trans :premises (@p294 @p292))
% 78.30/78.54  (step @p296 :rule cong :premises (@p295 @p262) :args (@t35))
% 78.30/78.54  (step @p297 :rule cong :premises (@p296) :args (@t37))
% 78.30/78.54  (step @p298 :rule trans :premises (@p297 @p183))
% 78.30/78.54  (step @p299 :rule refl :args (@t134))
% 78.30/78.54  (step @p300 :rule refl :args (@t135))
% 78.30/78.54  (step @p301 :rule refl :args (@t40))
% 78.30/78.54  (step @p302 :rule cong :premises (@p301 @p300) :args ((= @t40 @t135)))
% 78.30/78.54  (step @p303 :rule symm :premises (@p302))
% 78.30/78.54  (step @p304 :rule eq_resolve :premises (@p301 @p303))
% 78.30/78.54  (step @p305 :rule cong :premises (@p304) :args (@t306))
% 78.30/78.54  (step @p306 :rule nary_cong :premises (@p305 @p299) :args (@t307))
% 78.30/78.54  (step @p307 :rule cong :premises (@p306) :args ((forall @t36 @t307)))
% 78.30/78.54  (step @p308 :rule bool-impl-elim :args (@t40 @t134))
% 78.30/78.54  (step @p309 :rule cong :premises (@p308) :args ((forall @t36 (=> @t40 @t134))))
% 78.30/78.54  (step @p310 :rule trans :premises (@p309 @p307))
% 78.30/78.54  (step @p311 :rule aci_norm :args ((= (or false @t134) @t134)))
% 78.30/78.54  (step @p312 :rule refl :args (@t134))
% 78.30/78.54  (step @p313 :rule nary_cong :premises (@p191 @p312) :args (@t308))
% 78.30/78.54  (step @p314 :rule trans :premises (@p313 @p311))
% 78.30/78.54  (step @p315 :rule quant-var-elim-eq :args ((= (forall @t22 @t309) @t308)))
% 78.30/78.54  (step @p316 :rule aci_norm :args ((= @t310 @t309)))
% 78.30/78.54  (step @p317 :rule cong :premises (@p316) :args ((forall @t22 @t310)))
% 78.30/78.54  (step @p318 :rule trans :premises (@p317 @p315))
% 78.30/78.54  (step @p319 :rule trans :premises (@p318 @p314))
% 78.30/78.54  (step @p320 :rule refl :args (@t175))
% 78.30/78.54  (step @p321 :rule refl :args (@t38))
% 78.30/78.54  (step @p322 :rule cong :premises (@p321 @p320) :args ((= @t38 @t175)))
% 78.30/78.54  (step @p323 :rule symm :premises (@p322))
% 78.30/78.54  (step @p324 :rule eq_resolve :premises (@p321 @p323))
% 78.30/78.54  (step @p325 :rule nary_cong :premises (@p219 @p324) :args (@t311))
% 78.30/78.54  (step @p326 :rule cong :premises (@p325) :args ((forall @t22 @t311)))
% 78.30/78.54  (step @p327 :rule trans :premises (@p326 @p319))
% 78.30/78.54  (step @p328 :rule bool-impl-elim :args (@t20 @t38))
% 78.30/78.54  (step @p329 :rule cong :premises (@p328) :args (@t39))
% 78.30/78.54  (step @p330 :rule trans :premises (@p329 @p327))
% 78.30/78.54  (step @p331 :rule refl :args (@t40))
% 78.30/78.54  (step @p332 :rule cong :premises (@p331 @p330) :args (@t41))
% 78.30/78.54  (step @p333 :rule cong :premises (@p332) :args (@t42))
% 78.30/78.54  (step @p334 :rule trans :premises (@p333 @p310))
% 78.30/78.54  (step @p335 :rule aci_norm :args ((= (or @t145 @t143 false @t141) @t146)))
% 78.30/78.54  (step @p336 :rule refl :args (@t141))
% 78.30/78.54  (step @p337 :rule eq-refl :args (@t140))
% 78.30/78.54  (step @p338 :rule cong :premises (@p337) :args (@t312))
% 78.30/78.54  (step @p339 :rule trans :premises (@p338 @p50))
% 78.30/78.54  (step @p340 :rule refl :args (@t143))
% 78.30/78.54  (step @p341 :rule refl :args (@t145))
% 78.30/78.54  (step @p342 :rule nary_cong :premises (@p341 @p340 @p339 @p336) :args (@t313))
% 78.30/78.54  (step @p343 :rule trans :premises (@p342 @p335))
% 78.30/78.54  (step @p344 :rule cong :premises (@p343) :args ((forall @t147 @t313)))
% 78.30/78.54  (step @p345 :rule quant-var-elim-eq :args ((= (forall @t61 @t316) @t313)))
% 78.30/78.54  (step @p346 :rule aci_norm :args ((= @t317 @t316)))
% 78.30/78.54  (step @p347 :rule cong :premises (@p346) :args (@t318))
% 78.30/78.54  (step @p348 :rule trans :premises (@p347 @p345))
% 78.30/78.54  (step @p349 :rule cong :premises (@p348) :args (@t319))
% 78.30/78.54  (step @p350 :rule quant-merge-prenex :args ((= @t319 (forall @t55 @t317))))
% 78.30/78.54  (step @p351 :rule symm :premises (@p350))
% 78.30/78.54  (step @p352 :rule trans :premises (@p351 @p349))
% 78.30/78.54  (step @p353 :rule trans :premises (@p352 @p344))
% 78.30/78.54  (step @p354 :rule refl :args (@t314))
% 78.30/78.54  (step @p355 :rule refl :args (@t44))
% 78.30/78.54  (step @p356 :rule cong :premises (@p355 @p354) :args ((= @t44 @t314)))
% 78.30/78.54  (step @p357 :rule symm :premises (@p356))
% 78.30/78.54  (step @p358 :rule eq_resolve :premises (@p355 @p357))
% 78.30/78.54  (step @p359 :rule refl :args (@t138))
% 78.30/78.54  (step @p360 :rule refl :args (@t46))
% 78.30/78.54  (step @p361 :rule cong :premises (@p360 @p359) :args ((= @t46 @t138)))
% 78.30/78.54  (step @p362 :rule symm :premises (@p361))
% 78.30/78.54  (step @p363 :rule eq_resolve :premises (@p360 @p362))
% 78.30/78.54  (step @p364 :rule refl :args (@t139))
% 78.30/78.54  (step @p365 :rule refl :args (@t48))
% 78.30/78.54  (step @p366 :rule cong :premises (@p365 @p364) :args ((= @t48 @t139)))
% 78.30/78.54  (step @p367 :rule symm :premises (@p366))
% 78.30/78.54  (step @p368 :rule eq_resolve :premises (@p365 @p367))
% 78.30/78.54  (step @p369 :rule nary_cong :premises (@p368 @p363) :args (@t49))
% 78.30/78.54  (step @p370 :rule cong :premises (@p369) :args (@t50))
% 78.30/78.54  (step @p371 :rule refl :args (@t43))
% 78.30/78.54  (step @p372 :rule cong :premises (@p371 @p370) :args (@t51))
% 78.30/78.54  (step @p373 :rule cong :premises (@p372) :args (@t320))
% 78.30/78.54  (step @p374 :rule refl :args (@t142))
% 78.30/78.54  (step @p375 :rule refl :args (@t52))
% 78.30/78.54  (step @p376 :rule cong :premises (@p375 @p374) :args ((= @t52 @t142)))
% 78.30/78.54  (step @p377 :rule symm :premises (@p376))
% 78.30/78.54  (step @p378 :rule eq_resolve :premises (@p375 @p377))
% 78.30/78.54  (step @p379 :rule cong :premises (@p378) :args (@t321))
% 78.30/78.54  (step @p380 :rule refl :args (@t144))
% 78.30/78.54  (step @p381 :rule refl :args (@t53))
% 78.30/78.54  (step @p382 :rule cong :premises (@p381 @p380) :args ((= @t53 @t144)))
% 78.30/78.54  (step @p383 :rule symm :premises (@p382))
% 78.30/78.54  (step @p384 :rule eq_resolve :premises (@p381 @p383))
% 78.30/78.54  (step @p385 :rule cong :premises (@p384) :args (@t322))
% 78.30/78.54  (step @p386 :rule nary_cong :premises (@p385 @p379 @p373 @p358) :args (@t323))
% 78.30/78.54  (step @p387 :rule cong :premises (@p386) :args ((forall @t55 @t323)))
% 78.30/78.54  (step @p388 :rule trans :premises (@p387 @p353))
% 78.30/78.54  (step @p389 :rule aci_norm :args ((= (or @t324 @t44) @t323)))
% 78.30/78.54  (step @p390 :rule aci_norm :args ((= (or @t322 (or @t321 @t320)) @t324)))
% 78.30/78.54  (step @p391 :rule bool-and-de-morgan :args (@t52 @t51 true))
% 78.30/78.54  (step @p392 :rule refl :args (@t322))
% 78.30/78.54  (step @p393 :rule nary_cong :premises (@p392 @p391) :args ((or @t322 (not (and @t52 @t51)))))
% 78.30/78.54  (step @p394 :rule bool-and-de-morgan :args (@t53 @t52 (and @t51)))
% 78.30/78.54  (step @p395 :rule trans :premises (@p394 @p393))
% 78.30/78.54  (step @p396 :rule trans :premises (@p395 @p390))
% 78.30/78.54  (step @p397 :rule nary_cong :premises (@p396 @p355) :args ((or (not @t54) @t44)))
% 78.30/78.54  (step @p398 :rule trans :premises (@p397 @p389))
% 78.30/78.54  (step @p399 :rule bool-impl-elim :args (@t54 @t44))
% 78.30/78.54  (step @p400 :rule trans :premises (@p399 @p398))
% 78.30/78.54  (step @p401 :rule cong :premises (@p400) :args (@t56))
% 78.30/78.54  (step @p402 :rule trans :premises (@p401 @p388))
% 78.30/78.54  (step @p403 :rule aci_norm :args ((= (or @t158 false @t153) @t159)))
% 78.30/78.54  (step @p404 :rule refl :args (@t153))
% 78.30/78.54  (step @p405 :rule eq-refl :args (@t152))
% 78.30/78.54  (step @p406 :rule cong :premises (@p405) :args (@t325))
% 78.30/78.54  (step @p407 :rule trans :premises (@p406 @p50))
% 78.30/78.54  (step @p408 :rule refl :args (@t158))
% 78.30/78.54  (step @p409 :rule nary_cong :premises (@p408 @p407 @p404) :args (@t326))
% 78.30/78.54  (step @p410 :rule trans :premises (@p409 @p403))
% 78.30/78.54  (step @p411 :rule cong :premises (@p410) :args ((forall @t160 @t326)))
% 78.30/78.54  (step @p412 :rule quant-var-elim-eq :args ((= (forall @t33 @t329) @t326)))
% 78.30/78.54  (step @p413 :rule aci_norm :args ((= @t330 @t329)))
% 78.30/78.54  (step @p414 :rule cong :premises (@p413) :args (@t331))
% 78.30/78.54  (step @p415 :rule trans :premises (@p414 @p412))
% 78.30/78.54  (step @p416 :rule cong :premises (@p415) :args (@t332))
% 78.30/78.54  (step @p417 :rule quant-merge-prenex :args ((= @t332 (forall @t72 @t330))))
% 78.30/78.54  (step @p418 :rule symm :premises (@p417))
% 78.30/78.54  (step @p419 :rule trans :premises (@p418 @p416))
% 78.30/78.54  (step @p420 :rule trans :premises (@p419 @p411))
% 78.30/78.54  (step @p421 :rule refl :args (@t328))
% 78.30/78.54  (step @p422 :rule refl :args (@t158))
% 78.30/78.54  (step @p423 :rule nary_cong :premises (@p422 @p421 @p279) :args (@t333))
% 78.30/78.54  (step @p424 :rule cong :premises (@p423) :args ((forall @t72 @t333)))
% 78.30/78.54  (step @p425 :rule trans :premises (@p424 @p420))
% 78.30/78.54  (step @p426 :rule aci_norm :args ((= (or (or @t158 @t328) @t26) @t333)))
% 78.30/78.54  (step @p427 :rule bool-and-de-morgan :args (@t157 @t327 true))
% 78.30/78.54  (step @p428 :rule nary_cong :premises (@p427 @p276) :args ((or (not @t334) @t26)))
% 78.30/78.54  (step @p429 :rule trans :premises (@p428 @p426))
% 78.30/78.54  (step @p430 :rule bool-impl-elim :args (@t334 @t26))
% 78.30/78.54  (step @p431 :rule trans :premises (@p430 @p429))
% 78.30/78.54  (step @p432 :rule cong :premises (@p431) :args ((forall @t72 (=> @t334 @t26))))
% 78.30/78.54  (step @p433 :rule trans :premises (@p432 @p425))
% 78.30/78.54  (step @p434 :rule refl :args (@t26))
% 78.30/78.54  (step @p435 :rule refl :args (@t150))
% 78.30/78.54  (step @p436 :rule refl :args (@t57))
% 78.30/78.54  (step @p437 :rule cong :premises (@p436 @p435) :args ((= @t57 @t150)))
% 78.30/78.54  (step @p438 :rule symm :premises (@p437))
% 78.30/78.54  (step @p439 :rule eq_resolve :premises (@p436 @p438))
% 78.30/78.54  (step @p440 :rule cong :premises (@p439) :args (@t335))
% 78.30/78.54  (step @p441 :rule refl :args (@t151))
% 78.30/78.54  (step @p442 :rule refl :args (@t59))
% 78.30/78.54  (step @p443 :rule cong :premises (@p442 @p441) :args ((= @t59 @t151)))
% 78.30/78.54  (step @p444 :rule symm :premises (@p443))
% 78.30/78.54  (step @p445 :rule eq_resolve :premises (@p442 @p444))
% 78.30/78.54  (step @p446 :rule cong :premises (@p445) :args (@t336))
% 78.30/78.54  (step @p447 :rule nary_cong :premises (@p446 @p440) :args (@t337))
% 78.30/78.54  (step @p448 :rule cong :premises (@p447) :args ((forall @t61 @t337)))
% 78.30/78.54  (step @p449 :rule bool-and-de-morgan :args (@t59 @t57 true))
% 78.30/78.54  (step @p450 :rule cong :premises (@p449) :args (@t338))
% 78.30/78.54  (step @p451 :rule trans :premises (@p450 @p448))
% 78.30/78.54  (step @p452 :rule cong :premises (@p451) :args (@t339))
% 78.30/78.54  (step @p453 :rule exists-elim :args ((= @t62 @t339)))
% 78.30/78.54  (step @p454 :rule trans :premises (@p453 @p452))
% 78.30/78.54  (step @p455 :rule cong :premises (@p454) :args (@t63))
% 78.30/78.54  (step @p456 :rule refl :args (@t24))
% 78.30/78.54  (step @p457 :rule cong :premises (@p456 @p455) :args (@t64))
% 78.30/78.54  (step @p458 :rule refl :args (@t154))
% 78.30/78.54  (step @p459 :rule refl :args (@t66))
% 78.30/78.54  (step @p460 :rule cong :premises (@p459 @p458) :args ((= @t66 @t154)))
% 78.30/78.54  (step @p461 :rule symm :premises (@p460))
% 78.30/78.54  (step @p462 :rule eq_resolve :premises (@p459 @p461))
% 78.30/78.54  (step @p463 :rule refl :args (@t155))
% 78.30/78.54  (step @p464 :rule refl :args (@t67))
% 78.30/78.54  (step @p465 :rule cong :premises (@p464 @p463) :args ((= @t67 @t155)))
% 78.30/78.54  (step @p466 :rule symm :premises (@p465))
% 78.30/78.54  (step @p467 :rule eq_resolve :premises (@p464 @p466))
% 78.30/78.54  (step @p468 :rule cong :premises (@p467) :args (@t340))
% 78.30/78.54  (step @p469 :rule nary_cong :premises (@p468 @p462) :args (@t341))
% 78.30/78.54  (step @p470 :rule cong :premises (@p469) :args ((forall @t68 @t341)))
% 78.30/78.54  (step @p471 :rule bool-impl-elim :args (@t67 @t66))
% 78.30/78.54  (step @p472 :rule cong :premises (@p471) :args (@t69))
% 78.30/78.54  (step @p473 :rule trans :premises (@p472 @p470))
% 78.30/78.54  (step @p474 :rule nary_cong :premises (@p473 @p457) :args (@t70))
% 78.30/78.54  (step @p475 :rule cong :premises (@p474 @p434) :args (@t71))
% 78.30/78.54  (step @p476 :rule cong :premises (@p475) :args (@t73))
% 78.30/78.54  (step @p477 :rule trans :premises (@p476 @p433))
% 78.30/78.54  (step @p478 :rule aci_norm :args ((= (or false @t163) @t163)))
% 78.30/78.54  (step @p479 :rule refl :args (@t163))
% 78.30/78.54  (step @p480 :rule eq-refl :args (@t125))
% 78.30/78.54  (step @p481 :rule cong :premises (@p480) :args (@t343))
% 78.30/78.54  (step @p482 :rule trans :premises (@p481 @p50))
% 78.30/78.54  (step @p483 :rule nary_cong :premises (@p482 @p479) :args (@t344))
% 78.30/78.54  (step @p484 :rule trans :premises (@p483 @p478))
% 78.30/78.54  (step @p485 :rule quant-var-elim-eq :args ((= (forall @t33 @t347) @t344)))
% 78.30/78.54  (step @p486 :rule aci_norm :args ((= @t348 @t347)))
% 78.30/78.54  (step @p487 :rule cong :premises (@p486) :args ((forall @t33 @t348)))
% 78.30/78.54  (step @p488 :rule trans :premises (@p487 @p485))
% 78.30/78.54  (step @p489 :rule trans :premises (@p488 @p484))
% 78.30/78.54  (step @p490 :rule refl :args (@t346))
% 78.30/78.54  (step @p491 :rule nary_cong :premises (@p490 @p279) :args (@t349))
% 78.30/78.54  (step @p492 :rule cong :premises (@p491) :args ((forall @t33 @t349)))
% 78.30/78.54  (step @p493 :rule trans :premises (@p492 @p489))
% 78.30/78.54  (step @p494 :rule bool-impl-elim :args (@t345 @t26))
% 78.30/78.54  (step @p495 :rule cong :premises (@p494) :args ((forall @t33 (=> @t345 @t26))))
% 78.30/78.54  (step @p496 :rule trans :premises (@p495 @p493))
% 78.30/78.54  (step @p497 :rule refl :args (@t125))
% 78.30/78.54  (step @p498 :rule symm :premises (@p497))
% 78.30/78.54  (step @p499 :rule alpha_equiv :args ((lambda @t30 true) @t235 (@list @t124)))
% 78.30/78.54  (step @p500 :rule trans :premises (@p499 @p498))
% 78.30/78.54  (step @p501 :rule evaluate :args (@t74))
% 78.30/78.54  (step @p502 :rule cong :premises (@p501) :args (@t75))
% 78.30/78.54  (step @p503 :rule trans :premises (@p502 @p500))
% 78.30/78.54  (step @p504 :rule cong :premises (@p456 @p503) :args (@t76))
% 78.30/78.54  (step @p505 :rule cong :premises (@p504 @p434) :args (@t77))
% 78.30/78.54  (step @p506 :rule cong :premises (@p505) :args (@t78))
% 78.30/78.54  (step @p507 :rule trans :premises (@p506 @p496))
% 78.30/78.54  (step @p508 :rule aci_norm :args ((= (or false @t167) @t167)))
% 78.30/78.54  (step @p509 :rule refl :args (@t167))
% 78.30/78.54  (step @p510 :rule eq-refl :args (@t166))
% 78.30/78.54  (step @p511 :rule cong :premises (@p510) :args (@t351))
% 78.30/78.54  (step @p512 :rule trans :premises (@p511 @p50))
% 78.30/78.54  (step @p513 :rule nary_cong :premises (@p512 @p509) :args (@t352))
% 78.30/78.54  (step @p514 :rule trans :premises (@p513 @p508))
% 78.30/78.54  (step @p515 :rule quant-var-elim-eq :args ((= (forall @t33 @t355) @t352)))
% 78.30/78.54  (step @p516 :rule aci_norm :args ((= @t356 @t355)))
% 78.30/78.54  (step @p517 :rule cong :premises (@p516) :args ((forall @t33 @t356)))
% 78.30/78.54  (step @p518 :rule trans :premises (@p517 @p515))
% 78.30/78.54  (step @p519 :rule trans :premises (@p518 @p514))
% 78.30/78.54  (step @p520 :rule refl :args (@t354))
% 78.30/78.54  (step @p521 :rule nary_cong :premises (@p520 @p279) :args (@t357))
% 78.30/78.54  (step @p522 :rule cong :premises (@p521) :args ((forall @t33 @t357)))
% 78.30/78.54  (step @p523 :rule trans :premises (@p522 @p519))
% 78.30/78.54  (step @p524 :rule bool-impl-elim :args (@t353 @t26))
% 78.30/78.54  (step @p525 :rule cong :premises (@p524) :args ((forall @t33 (=> @t353 @t26))))
% 78.30/78.54  (step @p526 :rule trans :premises (@p525 @p523))
% 78.30/78.54  (step @p527 :rule refl :args (@t166))
% 78.30/78.54  (step @p528 :rule symm :premises (@p527))
% 78.30/78.54  (step @p529 :rule alpha_equiv :args (@t79 @t235 (@list @t165)))
% 78.30/78.54  (step @p530 :rule trans :premises (@p529 @p528))
% 78.30/78.54  (step @p531 :rule cong :premises (@p456 @p530) :args (@t80))
% 78.30/78.54  (step @p532 :rule cong :premises (@p531 @p434) :args (@t81))
% 78.30/78.54  (step @p533 :rule cong :premises (@p532) :args (@t82))
% 78.30/78.54  (step @p534 :rule trans :premises (@p533 @p526))
% 78.30/78.54  (step @p535 :rule aci_norm :args ((= (or @t176 @t174 false @t172) @t177)))
% 78.30/78.54  (step @p536 :rule refl :args (@t172))
% 78.30/78.54  (step @p537 :rule eq-refl :args (@t171))
% 78.30/78.54  (step @p538 :rule cong :premises (@p537) :args (@t358))
% 78.30/78.54  (step @p539 :rule trans :premises (@p538 @p50))
% 78.30/78.54  (step @p540 :rule refl :args (@t174))
% 78.30/78.54  (step @p541 :rule refl :args (@t176))
% 78.30/78.54  (step @p542 :rule nary_cong :premises (@p541 @p540 @p539 @p536) :args (@t359))
% 78.30/78.54  (step @p543 :rule trans :premises (@p542 @p535))
% 78.30/78.54  (step @p544 :rule cong :premises (@p543) :args ((forall @t178 @t359)))
% 78.30/78.54  (step @p545 :rule quant-var-elim-eq :args ((= (forall @t98 @t362) @t359)))
% 78.30/78.54  (step @p546 :rule aci_norm :args ((= @t363 @t362)))
% 78.30/78.54  (step @p547 :rule cong :premises (@p546) :args (@t364))
% 78.30/78.54  (step @p548 :rule trans :premises (@p547 @p545))
% 78.30/78.54  (step @p549 :rule cong :premises (@p548) :args (@t365))
% 78.30/78.54  (step @p550 :rule quant-merge-prenex :args ((= @t365 (forall @t92 @t363))))
% 78.30/78.54  (step @p551 :rule symm :premises (@p550))
% 78.30/78.54  (step @p552 :rule trans :premises (@p551 @p549))
% 78.30/78.54  (step @p553 :rule trans :premises (@p552 @p544))
% 78.30/78.54  (step @p554 :rule refl :args (@t360))
% 78.30/78.54  (step @p555 :rule refl :args (@t84))
% 78.30/78.54  (step @p556 :rule cong :premises (@p555 @p554) :args ((= @t84 @t360)))
% 78.30/78.54  (step @p557 :rule symm :premises (@p556))
% 78.30/78.54  (step @p558 :rule eq_resolve :premises (@p555 @p557))
% 78.30/78.54  (step @p559 :rule refl :args (@t169))
% 78.30/78.54  (step @p560 :rule refl :args (@t86))
% 78.30/78.54  (step @p561 :rule cong :premises (@p560 @p559) :args ((= @t86 @t169)))
% 78.30/78.54  (step @p562 :rule symm :premises (@p561))
% 78.30/78.54  (step @p563 :rule eq_resolve :premises (@p560 @p562))
% 78.30/78.54  (step @p564 :rule nary_cong :premises (@p247 @p563) :args (@t87))
% 78.30/78.54  (step @p565 :rule cong :premises (@p564) :args (@t88))
% 78.30/78.54  (step @p566 :rule refl :args (@t83))
% 78.30/78.54  (step @p567 :rule cong :premises (@p566 @p565) :args (@t89))
% 78.30/78.54  (step @p568 :rule cong :premises (@p567) :args (@t366))
% 78.30/78.54  (step @p569 :rule refl :args (@t173))
% 78.30/78.54  (step @p570 :rule refl :args (@t90))
% 78.30/78.54  (step @p571 :rule cong :premises (@p570 @p569) :args ((= @t90 @t173)))
% 78.30/78.54  (step @p572 :rule symm :premises (@p571))
% 78.30/78.54  (step @p573 :rule eq_resolve :premises (@p570 @p572))
% 78.30/78.54  (step @p574 :rule cong :premises (@p573) :args (@t367))
% 78.30/78.54  (step @p575 :rule cong :premises (@p324) :args (@t368))
% 78.30/78.54  (step @p576 :rule nary_cong :premises (@p575 @p574 @p568 @p558) :args (@t369))
% 78.30/78.54  (step @p577 :rule cong :premises (@p576) :args ((forall @t92 @t369)))
% 78.30/78.54  (step @p578 :rule trans :premises (@p577 @p553))
% 78.30/78.54  (step @p579 :rule aci_norm :args ((= (or @t370 @t84) @t369)))
% 78.30/78.54  (step @p580 :rule aci_norm :args ((= (or @t368 (or @t367 @t366)) @t370)))
% 78.30/78.54  (step @p581 :rule bool-and-de-morgan :args (@t90 @t89 true))
% 78.30/78.54  (step @p582 :rule refl :args (@t368))
% 78.30/78.54  (step @p583 :rule nary_cong :premises (@p582 @p581) :args ((or @t368 (not (and @t90 @t89)))))
% 78.30/78.54  (step @p584 :rule bool-and-de-morgan :args (@t38 @t90 (and @t89)))
% 78.30/78.54  (step @p585 :rule trans :premises (@p584 @p583))
% 78.30/78.54  (step @p586 :rule trans :premises (@p585 @p580))
% 78.30/78.54  (step @p587 :rule nary_cong :premises (@p586 @p555) :args ((or (not @t91) @t84)))
% 78.30/78.54  (step @p588 :rule trans :premises (@p587 @p579))
% 78.30/78.54  (step @p589 :rule bool-impl-elim :args (@t91 @t84))
% 78.30/78.54  (step @p590 :rule trans :premises (@p589 @p588))
% 78.30/78.54  (step @p591 :rule cong :premises (@p590) :args (@t93))
% 78.30/78.54  (step @p592 :rule trans :premises (@p591 @p578))
% 78.30/78.54  (step @p593 :rule aci_norm :args ((= (or @t189 false @t184) @t190)))
% 78.30/78.54  (step @p594 :rule refl :args (@t184))
% 78.30/78.54  (step @p595 :rule eq-refl :args (@t183))
% 78.30/78.54  (step @p596 :rule cong :premises (@p595) :args (@t371))
% 78.30/78.54  (step @p597 :rule trans :premises (@p596 @p50))
% 78.30/78.54  (step @p598 :rule refl :args (@t189))
% 78.30/78.54  (step @p599 :rule nary_cong :premises (@p598 @p597 @p594) :args (@t372))
% 78.30/78.54  (step @p600 :rule trans :premises (@p599 @p593))
% 78.30/78.54  (step @p601 :rule cong :premises (@p600) :args ((forall @t191 @t372)))
% 78.30/78.54  (step @p602 :rule quant-var-elim-eq :args ((= (forall @t11 @t375) @t372)))
% 78.30/78.54  (step @p603 :rule aci_norm :args ((= @t376 @t375)))
% 78.30/78.54  (step @p604 :rule cong :premises (@p603) :args (@t377))
% 78.30/78.54  (step @p605 :rule trans :premises (@p604 @p602))
% 78.30/78.54  (step @p606 :rule cong :premises (@p605) :args (@t378))
% 78.30/78.54  (step @p607 :rule quant-merge-prenex :args ((= @t378 (forall @t109 @t376))))
% 78.30/78.54  (step @p608 :rule symm :premises (@p607))
% 78.30/78.54  (step @p609 :rule trans :premises (@p608 @p606))
% 78.30/78.54  (step @p610 :rule trans :premises (@p609 @p601))
% 78.30/78.54  (step @p611 :rule refl :args (@t374))
% 78.30/78.54  (step @p612 :rule refl :args (@t189))
% 78.30/78.54  (step @p613 :rule nary_cong :premises (@p612 @p611 @p242) :args (@t379))
% 78.30/78.54  (step @p614 :rule cong :premises (@p613) :args ((forall @t109 @t379)))
% 78.30/78.54  (step @p615 :rule trans :premises (@p614 @p610))
% 78.30/78.54  (step @p616 :rule aci_norm :args ((= (or (or @t189 @t374) @t3) @t379)))
% 78.30/78.54  (step @p617 :rule bool-and-de-morgan :args (@t188 @t373 true))
% 78.30/78.54  (step @p618 :rule nary_cong :premises (@p617 @p239) :args ((or (not @t380) @t3)))
% 78.30/78.54  (step @p619 :rule trans :premises (@p618 @p616))
% 78.30/78.54  (step @p620 :rule bool-impl-elim :args (@t380 @t3))
% 78.30/78.54  (step @p621 :rule trans :premises (@p620 @p619))
% 78.30/78.54  (step @p622 :rule cong :premises (@p621) :args ((forall @t109 (=> @t380 @t3))))
% 78.30/78.54  (step @p623 :rule trans :premises (@p622 @p615))
% 78.30/78.54  (step @p624 :rule refl :args (@t3))
% 78.30/78.54  (step @p625 :rule refl :args (@t181))
% 78.30/78.54  (step @p626 :rule refl :args (@t94))
% 78.30/78.54  (step @p627 :rule cong :premises (@p626 @p625) :args ((= @t94 @t181)))
% 78.30/78.54  (step @p628 :rule symm :premises (@p627))
% 78.30/78.54  (step @p629 :rule eq_resolve :premises (@p626 @p628))
% 78.30/78.54  (step @p630 :rule cong :premises (@p629) :args (@t381))
% 78.30/78.54  (step @p631 :rule refl :args (@t182))
% 78.30/78.54  (step @p632 :rule refl :args (@t96))
% 78.30/78.54  (step @p633 :rule cong :premises (@p632 @p631) :args ((= @t96 @t182)))
% 78.30/78.54  (step @p634 :rule symm :premises (@p633))
% 78.30/78.54  (step @p635 :rule eq_resolve :premises (@p632 @p634))
% 78.30/78.54  (step @p636 :rule cong :premises (@p635) :args (@t382))
% 78.30/78.54  (step @p637 :rule nary_cong :premises (@p636 @p630) :args (@t383))
% 78.30/78.54  (step @p638 :rule cong :premises (@p637) :args ((forall @t98 @t383)))
% 78.30/78.54  (step @p639 :rule bool-and-de-morgan :args (@t96 @t94 true))
% 78.30/78.54  (step @p640 :rule cong :premises (@p639) :args (@t384))
% 78.30/78.54  (step @p641 :rule trans :premises (@p640 @p638))
% 78.30/78.54  (step @p642 :rule cong :premises (@p641) :args (@t385))
% 78.30/78.54  (step @p643 :rule exists-elim :args ((= @t99 @t385)))
% 78.30/78.54  (step @p644 :rule trans :premises (@p643 @p642))
% 78.30/78.54  (step @p645 :rule cong :premises (@p644) :args (@t100))
% 78.30/78.54  (step @p646 :rule refl :args (@t1))
% 78.30/78.54  (step @p647 :rule cong :premises (@p646 @p645) :args (@t101))
% 78.30/78.54  (step @p648 :rule refl :args (@t185))
% 78.30/78.54  (step @p649 :rule refl :args (@t103))
% 78.30/78.54  (step @p650 :rule cong :premises (@p649 @p648) :args ((= @t103 @t185)))
% 78.30/78.54  (step @p651 :rule symm :premises (@p650))
% 78.30/78.54  (step @p652 :rule eq_resolve :premises (@p649 @p651))
% 78.30/78.54  (step @p653 :rule refl :args (@t186))
% 78.30/78.54  (step @p654 :rule refl :args (@t104))
% 78.30/78.54  (step @p655 :rule cong :premises (@p654 @p653) :args ((= @t104 @t186)))
% 78.30/78.54  (step @p656 :rule symm :premises (@p655))
% 78.30/78.54  (step @p657 :rule eq_resolve :premises (@p654 @p656))
% 78.30/78.54  (step @p658 :rule cong :premises (@p657) :args (@t386))
% 78.30/78.54  (step @p659 :rule nary_cong :premises (@p658 @p652) :args (@t387))
% 78.30/78.54  (step @p660 :rule cong :premises (@p659) :args ((forall @t105 @t387)))
% 78.30/78.54  (step @p661 :rule bool-impl-elim :args (@t104 @t103))
% 78.30/78.54  (step @p662 :rule cong :premises (@p661) :args (@t106))
% 78.30/78.54  (step @p663 :rule trans :premises (@p662 @p660))
% 78.30/78.54  (step @p664 :rule nary_cong :premises (@p663 @p647) :args (@t107))
% 78.30/78.54  (step @p665 :rule cong :premises (@p664 @p624) :args (@t108))
% 78.30/78.54  (step @p666 :rule cong :premises (@p665) :args (@t110))
% 78.30/78.54  (step @p667 :rule trans :premises (@p666 @p623))
% 78.30/78.54  (step @p668 :rule aci_norm :args ((= (or false @t196) @t196)))
% 78.30/78.54  (step @p669 :rule refl :args (@t196))
% 78.30/78.54  (step @p670 :rule eq-refl :args (@t195))
% 78.30/78.54  (step @p671 :rule cong :premises (@p670) :args (@t389))
% 78.30/78.54  (step @p672 :rule trans :premises (@p671 @p50))
% 78.30/78.54  (step @p673 :rule nary_cong :premises (@p672 @p669) :args (@t390))
% 78.30/78.54  (step @p674 :rule trans :premises (@p673 @p668))
% 78.30/78.54  (step @p675 :rule quant-var-elim-eq :args ((= (forall @t11 @t393) @t390)))
% 78.30/78.54  (step @p676 :rule aci_norm :args ((= @t394 @t393)))
% 78.30/78.54  (step @p677 :rule cong :premises (@p676) :args ((forall @t11 @t394)))
% 78.30/78.54  (step @p678 :rule trans :premises (@p677 @p675))
% 78.30/78.54  (step @p679 :rule trans :premises (@p678 @p674))
% 78.30/78.54  (step @p680 :rule refl :args (@t392))
% 78.30/78.54  (step @p681 :rule nary_cong :premises (@p680 @p242) :args (@t395))
% 78.30/78.54  (step @p682 :rule cong :premises (@p681) :args ((forall @t11 @t395)))
% 78.30/78.54  (step @p683 :rule trans :premises (@p682 @p679))
% 78.30/78.54  (step @p684 :rule bool-impl-elim :args (@t391 @t3))
% 78.30/78.54  (step @p685 :rule cong :premises (@p684) :args ((forall @t11 (=> @t391 @t3))))
% 78.30/78.54  (step @p686 :rule trans :premises (@p685 @p683))
% 78.30/78.54  (step @p687 :rule refl :args (@t195))
% 78.30/78.54  (step @p688 :rule symm :premises (@p687))
% 78.30/78.54  (step @p689 :rule alpha_equiv :args ((lambda @t8 true) @t396 (@list @t194)))
% 78.30/78.54  (step @p690 :rule trans :premises (@p689 @p688))
% 78.30/78.54  (step @p691 :rule cong :premises (@p501) :args (@t111))
% 78.30/78.54  (step @p692 :rule trans :premises (@p691 @p690))
% 78.30/78.54  (step @p693 :rule cong :premises (@p646 @p692) :args (@t112))
% 78.30/78.54  (step @p694 :rule cong :premises (@p693 @p624) :args (@t113))
% 78.30/78.54  (step @p695 :rule cong :premises (@p694) :args (@t114))
% 78.30/78.54  (step @p696 :rule trans :premises (@p695 @p686))
% 78.30/78.54  (step @p697 :rule aci_norm :args ((= (or false @t200) @t200)))
% 78.30/78.54  (step @p698 :rule refl :args (@t200))
% 78.30/78.54  (step @p699 :rule eq-refl :args (@t199))
% 78.30/78.54  (step @p700 :rule cong :premises (@p699) :args (@t398))
% 78.30/78.54  (step @p701 :rule trans :premises (@p700 @p50))
% 78.30/78.54  (step @p702 :rule nary_cong :premises (@p701 @p698) :args (@t399))
% 78.30/78.54  (step @p703 :rule trans :premises (@p702 @p697))
% 78.30/78.54  (step @p704 :rule quant-var-elim-eq :args ((= (forall @t11 @t402) @t399)))
% 78.30/78.54  (step @p705 :rule aci_norm :args ((= @t403 @t402)))
% 78.30/78.54  (step @p706 :rule cong :premises (@p705) :args ((forall @t11 @t403)))
% 78.30/78.54  (step @p707 :rule trans :premises (@p706 @p704))
% 78.30/78.54  (step @p708 :rule trans :premises (@p707 @p703))
% 78.30/78.54  (step @p709 :rule refl :args (@t401))
% 78.30/78.54  (step @p710 :rule nary_cong :premises (@p709 @p242) :args (@t404))
% 78.30/78.54  (step @p711 :rule cong :premises (@p710) :args ((forall @t11 @t404)))
% 78.30/78.54  (step @p712 :rule trans :premises (@p711 @p708))
% 78.30/78.54  (step @p713 :rule bool-impl-elim :args (@t400 @t3))
% 78.30/78.54  (step @p714 :rule cong :premises (@p713) :args ((forall @t11 (=> @t400 @t3))))
% 78.30/78.54  (step @p715 :rule trans :premises (@p714 @p712))
% 78.30/78.54  (step @p716 :rule refl :args (@t199))
% 78.30/78.54  (step @p717 :rule symm :premises (@p716))
% 78.30/78.54  (step @p718 :rule alpha_equiv :args (@t115 @t396 (@list @t198)))
% 78.30/78.54  (step @p719 :rule trans :premises (@p718 @p717))
% 78.30/78.54  (step @p720 :rule cong :premises (@p646 @p719) :args (@t116))
% 78.30/78.54  (step @p721 :rule cong :premises (@p720 @p624) :args (@t117))
% 78.30/78.54  (step @p722 :rule cong :premises (@p721) :args (@t118))
% 78.30/78.54  (step @p723 :rule trans :premises (@p722 @p715))
% 78.30/78.54  (step @p724 :rule nary_cong :premises (@p723 @p696 @p667 @p592 @p534 @p507 @p477 @p402 @p334) :args (@t119))
% 78.30/78.54  (step @p725 :rule cong :premises (@p724 @p298) :args (@t120))
% 78.30/78.54  (step @p726 :rule cong :premises (@p725) :args (@t122))
% 78.30/78.54  (step @p727 :rule trans :premises (@p726 @p181))
% 78.30/78.54  (step @p728 :rule cong :premises (@p727) :args (@t123))
% 78.30/78.54  (step @p729 :rule eq_resolve :premises (@p1 @p728))
% 78.30/78.54  (step @p730 :rule refl :args (@t426))
% 78.30/78.54  (step @p731 :rule bool-double-not-elim :args (@t204))
% 78.30/78.54  (step @p732 :rule nary_cong :premises (@p731 @p730) :args ((or (not @t427) @t426)))
% 78.30/78.54  (step @p733 :rule eq-refl :args (@t406))
% 78.30/78.54  (step @p734 :rule skolem_intro :args (@t407))
% 78.30/78.54  (step @p735 :rule refl :args (@t406))
% 78.30/78.54  (step @p736 :rule cong :premises (@p735 @p734) :args ((= @t406 @t407)))
% 78.30/78.54  (step @p737 :rule trans :premises (@p736 @p733))
% 78.30/78.54  (step @p738 :rule true_elim :premises (@p737))
% 78.30/78.54  (step @p739 :rule cong :premises (@p738) :args (@t428))
% 78.30/78.54  (step @p740 :rule cong :premises (@p81 @p87) :args ((= @t207 @t208)))
% 78.30/78.54  (step @p741 :rule trans :premises (@p740 @p74))
% 78.30/78.54  (step @p742 :rule true_elim :premises (@p741))
% 78.30/78.54  (step @p743 :rule cong :premises (@p742) :args (@t429))
% 78.30/78.54  (step @p744 :rule cong :premises (@p743) :args (@t430))
% 78.30/78.54  (step @p745 :rule refl :args (@t414))
% 78.30/78.54  (step @p746 :rule refl :args (@t416))
% 78.30/78.54  (step @p747 :rule refl :args (@t417))
% 78.30/78.54  (step @p748 :rule refl :args (@t125))
% 78.30/78.54  (step @p749 :rule cong :premises (@p748 @p498) :args (@t342))
% 78.30/78.54  (step @p750 :rule trans :premises (@p749 @p480))
% 78.30/78.54  (step @p751 :rule cong :premises (@p748 @p26) :args ((= @t125 @t126)))
% 78.30/78.54  (step @p752 :rule trans :premises (@p751 @p750))
% 78.30/78.54  (step @p753 :rule true_elim :premises (@p752))
% 78.30/78.54  (step @p754 :rule cong :premises (@p753) :args (@t431))
% 78.30/78.54  (step @p755 :rule cong :premises (@p754) :args (@t432))
% 78.30/78.54  (step @p756 :rule refl :args (@t166))
% 78.30/78.54  (step @p757 :rule cong :premises (@p756 @p528) :args (@t350))
% 78.30/78.54  (step @p758 :rule trans :premises (@p757 @p510))
% 78.30/78.54  (step @p759 :rule skolem_intro :args (@t420))
% 78.30/78.54  (step @p760 :rule cong :premises (@p756 @p759) :args ((= @t166 @t420)))
% 78.30/78.54  (step @p761 :rule trans :premises (@p760 @p758))
% 78.30/78.54  (step @p762 :rule true_elim :premises (@p761))
% 78.30/78.54  (step @p763 :rule cong :premises (@p762) :args (@t433))
% 78.30/78.54  (step @p764 :rule cong :premises (@p763) :args (@t434))
% 78.30/78.54  (step @p765 :rule refl :args (@t421))
% 78.30/78.54  (step @p766 :rule refl :args (@t422))
% 78.30/78.54  (step @p767 :rule refl :args (@t195))
% 78.30/78.54  (step @p768 :rule cong :premises (@p767 @p688) :args (@t388))
% 78.30/78.54  (step @p769 :rule trans :premises (@p768 @p670))
% 78.30/78.54  (step @p770 :rule skolem_intro :args (@t423))
% 78.30/78.54  (step @p771 :rule cong :premises (@p767 @p770) :args ((= @t195 @t423)))
% 78.30/78.54  (step @p772 :rule trans :premises (@p771 @p769))
% 78.30/78.54  (step @p773 :rule true_elim :premises (@p772))
% 78.30/78.54  (step @p774 :rule cong :premises (@p773) :args (@t435))
% 78.30/78.54  (step @p775 :rule cong :premises (@p774) :args (@t436))
% 78.30/78.54  (step @p776 :rule refl :args (@t199))
% 78.30/78.54  (step @p777 :rule cong :premises (@p776 @p717) :args (@t397))
% 78.30/78.54  (step @p778 :rule trans :premises (@p777 @p699))
% 78.30/78.54  (step @p779 :rule skolem_intro :args (@t424))
% 78.30/78.54  (step @p780 :rule cong :premises (@p776 @p779) :args ((= @t199 @t424)))
% 78.30/78.54  (step @p781 :rule trans :premises (@p780 @p778))
% 78.30/78.54  (step @p782 :rule true_elim :premises (@p781))
% 78.30/78.54  (step @p783 :rule cong :premises (@p782) :args (@t437))
% 78.30/78.54  (step @p784 :rule cong :premises (@p783) :args (@t438))
% 78.30/78.54  (step @p785 :rule nary_cong :premises (@p784 @p775 @p766 @p765 @p764 @p755 @p747 @p746 @p745 @p744 @p739) :args (@t439))
% 78.30/78.54  (step @p786 :rule cong :premises (@p785) :args (@t440))
% 78.30/78.54  (step @p787 :rule refl :args (@t427))
% 78.30/78.54  (step @p788 :rule cong :premises (@p787 @p786) :args ((=> @t427 @t440)))
% 78.30/78.54  (assume-push @p1022 @t427)
% 78.30/78.54  (step @p790 :rule skolemize :premises (@p729))
% 78.30/78.54  (step-pop @p1023 :rule scope :premises (@p790))
% 78.30/78.54  (step @p791 :rule process_scope :premises (@p1023) :args (@t440))
% 78.30/78.54  (step @p793 :rule eq_resolve :premises (@p791 @p788))
% 78.30/78.54  (step @p794 :rule implies_elim :premises (@p793))
% 78.30/78.54  (step @p795 :rule eq_resolve :premises (@p794 @p732))
% 78.30/78.54  (step @p796 :rule chain_m_resolution :premises (@p795 @p729) :args (@t426 @t441 (@list @t204)))
% 78.30/78.54  (step @p797 :rule bool-double-not-elim :args (@t413))
% 78.30/78.54  (step @p798 :rule refl :args (@t425))
% 78.30/78.54  (step @p799 :rule nary_cong :premises (@p798 @p797) :args ((or @t425 (not @t414))))
% 78.30/78.54  (step @p800 :rule cnf_or_neg :args (@t425 8))
% 78.30/78.54  (step @p801 :rule eq_resolve :premises (@p800 @p799))
% 78.30/78.54  (step @p802 :rule reordering :premises (@p801) :args ((or @t413 @t425)))
% 78.30/78.54  (step @p803 :rule chain_m_resolution :premises (@p802 @p796) :args (@t413 @t441 @t442))
% 78.30/78.54  (step @p804 :rule eq-refl :args ((lambda @t18 (_ @t238 @t245))))
% 78.30/78.54  (step @p805 :rule refl :args (@t245))
% 78.30/78.54  (step @p806 :rule ho_cong :premises (@p91 @p805))
% 78.30/78.54  (step @p807 :rule cong :premises (@p806) :args (@t247))
% 78.30/78.54  (step @p808 :rule trans :premises (@p113 @p807))
% 78.30/78.54  (step @p809 :rule cong :premises (@p807 @p808) :args ((= @t247 @t248)))
% 78.30/78.54  (step @p810 :rule trans :premises (@p809 @p804))
% 78.30/78.54  (step @p811 :rule true_elim :premises (@p810))
% 78.30/78.54  (step @p812 :rule cong :premises (@p811) :args (@t443))
% 78.30/78.54  (step @p813 :rule refl :args (@t445))
% 78.30/78.54  (step @p814 :rule nary_cong :premises (@p813 @p812) :args (@t446))
% 78.30/78.54  (step @p815 :rule refl :args (@t413))
% 78.30/78.54  (step @p816 :rule cong :premises (@p815 @p814) :args ((=> @t413 @t446)))
% 78.30/78.54  (assume-push @p1024 @t413)
% 78.30/78.54  (step @p818 :rule instantiate :premises (@p803) :args ((@list @t212)))
% 78.30/78.54  (step-pop @p1025 :rule scope :premises (@p818))
% 78.30/78.54  (step @p819 :rule process_scope :premises (@p1025) :args (@t446))
% 78.30/78.54  (step @p821 :rule eq_resolve :premises (@p819 @p816))
% 78.30/78.54  (step @p822 :rule implies_elim :premises (@p821))
% 78.30/78.54  (step @p823 :rule chain_m_resolution :premises (@p822 @p803) :args (@t448 @t227 (@list @t413)))
% 78.30/78.54  (step @p824 :rule bool-double-not-elim :args (@t415))
% 78.30/78.54  (step @p825 :rule nary_cong :premises (@p798 @p824) :args ((or @t425 (not @t416))))
% 78.30/78.54  (step @p826 :rule cnf_or_neg :args (@t425 7))
% 78.30/78.54  (step @p827 :rule eq_resolve :premises (@p826 @p825))
% 78.30/78.54  (step @p828 :rule reordering :premises (@p827) :args ((or @t415 @t425)))
% 78.30/78.54  (step @p829 :rule chain_m_resolution :premises (@p828 @p796) :args (@t415 @t441 @t442))
% 78.30/78.54  (step @p830 :rule eq-refl :args (@t238))
% 78.30/78.54  (step @p831 :rule cong :premises (@p90 @p91) :args ((= @t211 @t212)))
% 78.30/78.54  (step @p832 :rule trans :premises (@p831 @p830))
% 78.30/78.54  (step @p833 :rule true_elim :premises (@p832))
% 78.30/78.54  (step @p834 :rule cong :premises (@p833) :args (@t449))
% 78.30/78.54  (step @p835 :rule refl :args (@t419))
% 78.30/78.54  (step @p836 :rule refl :args (@t412))
% 78.30/78.54  (step @p837 :rule nary_cong :premises (@p836 @p835 @p834) :args (@t450))
% 78.30/78.54  (step @p838 :rule refl :args (@t415))
% 78.30/78.54  (step @p839 :rule cong :premises (@p838 @p837) :args ((=> @t415 @t450)))
% 78.30/78.54  (assume-push @p1026 @t415)
% 78.30/78.54  (step @p841 :rule instantiate :premises (@p829) :args ((@list @t208 @t126)))
% 78.30/78.54  (step-pop @p1027 :rule scope :premises (@p841))
% 78.30/78.54  (step @p842 :rule process_scope :premises (@p1027) :args (@t450))
% 78.30/78.54  (step @p844 :rule eq_resolve :premises (@p842 @p839))
% 78.30/78.54  (step @p845 :rule implies_elim :premises (@p844))
% 78.30/78.54  (step @p846 :rule chain_m_resolution :premises (@p845 @p829) :args (@t451 @t227 (@list @t415)))
% 78.30/78.54  (step @p847 :rule bool-double-not-elim :args (@t418))
% 78.30/78.54  (step @p848 :rule nary_cong :premises (@p798 @p847) :args ((or @t425 (not @t419))))
% 78.30/78.54  (step @p849 :rule cnf_or_neg :args (@t425 5))
% 78.30/78.54  (step @p850 :rule eq_resolve :premises (@p849 @p848))
% 78.30/78.54  (step @p851 :rule reordering :premises (@p850) :args ((or @t418 @t425)))
% 78.30/78.54  (step @p852 :rule chain_m_resolution :premises (@p851 @p796) :args (@t418 @t441 @t442))
% 78.30/78.54  (step @p853 :rule bool-double-not-elim :args (@t411))
% 78.30/78.54  (step @p854 :rule nary_cong :premises (@p798 @p853) :args ((or @t425 (not @t412))))
% 78.30/78.54  (step @p855 :rule cnf_or_neg :args (@t425 9))
% 78.30/78.54  (step @p856 :rule eq_resolve :premises (@p855 @p854))
% 78.30/78.54  (step @p857 :rule reordering :premises (@p856) :args ((or @t411 @t425)))
% 78.30/78.54  (step @p858 :rule chain_m_resolution :premises (@p857 @p796) :args (@t411 @t441 @t442))
% 78.30/78.54  (step @p859 :rule cnf_or_pos :args (@t451))
% 78.30/78.54  (step @p860 :rule reordering :premises (@p859) :args ((or @t412 @t419 @t444 (not @t451))))
% 78.30/78.54  (step @p861 :rule chain_m_resolution :premises (@p860 @p858 @p852 @p846) :args (@t444 (@list false false false) (@list @t411 @t418 @t451)))
% 78.30/78.54  (step @p862 :rule cnf_or_pos :args (@t448))
% 78.30/78.54  (step @p863 :rule reordering :premises (@p862) :args ((or @t445 @t447 (not @t448))))
% 78.30/78.54  (step @p864 :rule chain_m_resolution :premises (@p863 @p861 @p823) :args (@t447 @t452 (@list @t444 @t448)))
% 78.30/78.54  (step @p865 :rule cnf_or_neg :args (@t425 10))
% 78.30/78.54  (step @p866 :rule chain_m_resolution :premises (@p865 @p796) :args (@t453 @t441 @t442))
% 78.30/78.54  (step @p867 :rule refl :args (@t455))
% 78.30/78.54  (step @p868 :rule refl :args (@t456))
% 78.30/78.54  (step @p869 :rule bool-double-not-elim :args (@t409))
% 78.30/78.54  (step @p870 :rule nary_cong :premises (@p869 @p868 @p867) :args ((or (not @t453) @t456 @t455)))
% 78.30/78.54  (assume-push @p1028 @t453)
% 78.30/78.54  (assume-push @p1029 @t454)
% 78.30/78.54  (assume-push @p1030 @t447)
% 78.30/78.54  (step @p874 :rule evaluate :args ((= true false)))
% 78.30/78.54  (step @p875 :rule false_intro :premises (@p866))
% 78.30/78.54  (step @p876 :rule symm :premises (@p1029))
% 78.30/78.54  (step @p877 :rule cong :premises (@p876) :args (@t447))
% 78.30/78.54  (step @p878 :rule true_intro :premises (@p864))
% 78.30/78.54  (step @p879 :rule symm :premises (@p878))
% 78.30/78.54  (step @p880 :rule trans :premises (@p879 @p877 @p875))
% 78.30/78.54  (step @p881 false :rule eq_resolve :premises (@p880 @p874))
% 78.30/78.54  (step-pop @p1031 :rule scope :premises (@p881))
% 78.30/78.54  (step-pop @p1032 :rule scope :premises (@p1031))
% 78.30/78.54  (step-pop @p1033 :rule scope :premises (@p1032))
% 78.30/78.54  (step @p882 :rule process_scope :premises (@p1033) :args (false))
% 78.30/78.54  (assume-push @p1034 @t453)
% 78.30/78.54  (assume-push @p1035 @t447)
% 78.30/78.54  (assume-push @p1036 @t454)
% 78.30/78.54  (step @p889 :rule and_intro :premises (@p866 @p1036 @p864))
% 78.30/78.54  (step-pop @p1037 :rule scope :premises (@p889))
% 78.30/78.54  (step-pop @p1038 :rule scope :premises (@p1037))
% 78.30/78.54  (step-pop @p1039 :rule scope :premises (@p1038))
% 78.30/78.54  (step @p890 :rule process_scope :premises (@p1039) :args (@t457))
% 78.30/78.54  (step @p894 :rule implies_elim :premises (@p890))
% 78.30/78.54  (step @p895 :rule resolution :premises (@p894 @p882) :args (true @t457))
% 78.30/78.54  (step @p896 :rule not_and :premises (@p895))
% 78.30/78.54  (step @p897 :rule eq_resolve :premises (@p896 @p870))
% 78.30/78.54  (step @p898 :rule chain_m_resolution :premises (@p897 @p866 @p864) :args (@t455 @t458 (@list @t409 @t447)))
% 78.30/78.54  ; WARNING: add trust step for TRUST
% 78.30/78.54  ; trust TRUST THEORY_LEMMA
% 78.30/78.54  (step @p899 :rule trust :premises () :args ((or @t454 @t461)))
% 78.30/78.54  (step @p900 :rule chain_m_resolution :premises (@p899 @p898) :args (@t461 @t441 (@list @t454)))
% 78.30/78.54  (step @p901 :rule cnf_equiv_neg2 :args (@t460))
% 78.30/78.54  (step @p902 :rule eq-symm :args (@t462 @t405))
% 78.30/78.54  (step @p903 :rule beta-reduce :args ((= @t463 @t405)))
% 78.30/78.54  (step @p904 :rule refl :args (@t462))
% 78.30/78.54  (step @p905 :rule cong :premises (@p904 @p903) :args (@t464))
% 78.30/78.54  (step @p906 :rule trans :premises (@p905 @p902))
% 78.30/78.54  (step @p907 :rule cong :premises (@p906) :args (@t465))
% 78.30/78.54  (step @p908 :rule quant-unused-vars :args ((= (forall @t8 true) true)))
% 78.30/78.54  (step @p909 :rule eq-refl :args (@t463))
% 78.30/78.54  (step @p910 :rule cong :premises (@p909) :args ((forall @t8 (= @t463 @t463))))
% 78.30/78.54  (step @p911 :rule trans :premises (@p910 @p908))
% 78.30/78.54  (step @p912 :rule refl :args (@t463))
% 78.30/78.54  (step @p913 :rule refl :args (@t4))
% 78.30/78.54  (step @p914 :rule ho_cong :premises (@p734 @p913))
% 78.30/78.54  (step @p915 :rule cong :premises (@p914 @p912) :args (@t464))
% 78.30/78.54  (step @p916 :rule cong :premises (@p915) :args (@t465))
% 78.30/78.54  (step @p917 :rule trans :premises (@p916 @p911))
% 78.30/78.54  (step @p918 :rule true_elim :premises (@p917))
% 78.30/78.54  (step @p919 :rule eq_resolve :premises (@p918 @p907))
% 78.30/78.54  (step @p920 :rule eq-symm :args (@t467 @t459))
% 78.30/78.54  (step @p921 :rule refl :args (@t468))
% 78.30/78.54  (step @p922 :rule cong :premises (@p921 @p920) :args ((=> @t468 @t469)))
% 78.30/78.54  (assume-push @p1040 @t468)
% 78.30/78.54  (step @p924 :rule instantiate :premises (@p919) :args (@t259))
% 78.30/78.54  (step-pop @p1041 :rule scope :premises (@p924))
% 78.30/78.54  (step @p925 :rule process_scope :premises (@p1041) :args (@t469))
% 78.30/78.54  (step @p927 :rule eq_resolve :premises (@p925 @p922))
% 78.30/78.54  (step @p928 :rule implies_elim :premises (@p927))
% 78.30/78.54  (step @p929 :rule chain_m_resolution :premises (@p928 @p919) :args (@t470 @t227 (@list @t468)))
% 78.30/78.54  (step @p930 :rule cnf_equiv_pos1 :args (@t470))
% 78.30/78.54  (step @p931 :rule reordering :premises (@p930) :args ((or @t472 @t467 @t471)))
% 78.30/78.54  (step @p932 :rule cnf_equiv_pos2 :args (@t260))
% 78.30/78.54  (step @p933 :rule reordering :premises (@p932) :args ((or @t256 @t474 @t473)))
% 78.30/78.54  (step @p934 :rule eq-symm :args (@t209 @t206))
% 78.30/78.54  (step @p935 :rule refl :args (@t209))
% 78.30/78.54  (step @p936 :rule cong :premises (@p935 @p77) :args (@t475))
% 78.30/78.54  (step @p937 :rule trans :premises (@p936 @p934))
% 78.30/78.54  (step @p938 :rule cong :premises (@p937) :args (@t476))
% 78.30/78.54  (step @p939 :rule eq-refl :args (@t236))
% 78.30/78.54  (step @p940 :rule cong :premises (@p939) :args ((forall @t30 (= @t236 @t236))))
% 78.30/78.54  (step @p941 :rule trans :premises (@p940 @p9))
% 78.30/78.54  (step @p942 :rule refl :args (@t236))
% 78.30/78.54  (step @p943 :rule cong :premises (@p88 @p942) :args (@t475))
% 78.30/78.54  (step @p944 :rule cong :premises (@p943) :args (@t476))
% 78.30/78.54  (step @p945 :rule trans :premises (@p944 @p941))
% 78.30/78.54  (step @p946 :rule true_elim :premises (@p945))
% 78.30/78.54  (step @p947 :rule eq_resolve :premises (@p946 @p938))
% 78.30/78.54  (step @p948 :rule instantiate :premises (@p947) :args ((@list @t254)))
% 78.30/78.54  (step @p949 :rule refl :args (@t477))
% 78.30/78.54  (step @p950 :rule bool-double-not-elim :args (@t466))
% 78.30/78.54  (step @p951 :rule refl :args (@t479))
% 78.30/78.54  (step @p952 :rule nary_cong :premises (@p951 @p950 @p949) :args ((or @t479 @t480 @t477)))
% 78.30/78.54  (step @p953 :rule cnf_equiv_pos1 :args (@t478))
% 78.30/78.54  (step @p954 :rule eq_resolve :premises (@p953 @p952))
% 78.30/78.54  (step @p955 :rule reordering :premises (@p954) :args ((or @t466 @t477 @t479)))
% 78.30/78.54  (step @p956 :rule refl :args (@t481))
% 78.30/78.54  (step @p957 :rule bool-double-not-elim :args (@t255))
% 78.30/78.54  (step @p958 :rule refl :args (@t482))
% 78.30/78.54  (step @p959 :rule nary_cong :premises (@p958 @p957 @p956) :args ((or @t482 (not @t474) @t481)))
% 78.30/78.54  (assume-push @p1042 @t243)
% 78.30/78.54  (assume-push @p1043 @t474)
% 78.30/78.54  (assume-push @p1044 @t474)
% 78.30/78.54  (assume-push @p1045 @t243)
% 78.30/78.54  (step @p964 :rule false_intro :premises (@p1043))
% 78.30/78.54  (step @p965 :rule refl :args (@t254))
% 78.30/78.54  (step @p966 :rule ho_cong :premises (@p100 @p965))
% 78.30/78.54  (step @p967 :rule trans :premises (@p966 @p964))
% 78.30/78.54  (step @p968 :rule false_elim :premises (@p967))
% 78.30/78.54  (step-pop @p1046 :rule scope :premises (@p968))
% 78.30/78.54  (step-pop @p1047 :rule scope :premises (@p1046))
% 78.30/78.54  (step @p969 :rule process_scope :premises (@p1047) :args (@t481))
% 78.30/78.54  (step @p972 :rule and_intro :premises (@p1043 @p100))
% 78.30/78.54  (step @p973 :rule modus_ponens :premises (@p972 @p969))
% 78.30/78.54  (step-pop @p1048 :rule scope :premises (@p973))
% 78.30/78.54  (step-pop @p1049 :rule scope :premises (@p1048))
% 78.30/78.54  (step @p974 :rule process_scope :premises (@p1049) :args (@t481))
% 78.30/78.54  (step @p977 :rule implies_elim :premises (@p974))
% 78.30/78.54  (step @p978 :rule cnf_and_neg :args (@t483))
% 78.30/78.54  (step @p979 :rule resolution :premises (@p978 @p977) :args (true @t483))
% 78.30/78.54  (step @p980 :rule eq_resolve :premises (@p979 @p959))
% 78.30/78.54  (step @p981 :rule chain_m_resolution :premises (@p980 @p100 @p955 @p948 @p933 @p129 @p931 @p929 @p901 @p900) :args (@t472 (@list false false false true false true false true true) (@list @t243 @t477 @t478 @t255 @t260 @t466 @t470 @t256 @t460)))
% 78.30/78.54  (step @p982 :rule cnf_equiv_neg1 :args (@t460))
% 78.30/78.54  (step @p983 :rule reordering :premises (@p982) :args ((or @t459 @t256 @t460)))
% 78.30/78.54  (step @p984 :rule chain_m_resolution :premises (@p983 @p981 @p900) :args (@t256 (@list true true) (@list @t459 @t460)))
% 78.30/78.54  (step @p985 :rule cnf_equiv_pos1 :args (@t260))
% 78.30/78.54  (step @p986 :rule reordering :premises (@p985) :args ((or (not @t256) @t255 @t473)))
% 78.30/78.54  (step @p987 :rule chain_m_resolution :premises (@p986 @p984 @p129) :args (@t255 @t452 (@list @t256 @t260)))
% 78.30/78.54  (step @p988 :rule refl :args (@t459))
% 78.30/78.54  (step @p989 :rule refl :args (@t471))
% 78.30/78.54  (step @p990 :rule nary_cong :premises (@p989 @p988 @p950) :args ((or @t471 @t459 @t480)))
% 78.30/78.54  (step @p991 :rule cnf_equiv_pos2 :args (@t470))
% 78.30/78.54  (step @p992 :rule eq_resolve :premises (@p991 @p990))
% 78.30/78.54  (step @p993 :rule reordering :premises (@p992) :args ((or @t459 @t466 @t471)))
% 78.30/78.54  (step @p994 :rule chain_m_resolution :premises (@p993 @p981 @p929) :args (@t466 @t458 (@list @t459 @t470)))
% 78.30/78.54  (step @p995 :rule cnf_equiv_pos2 :args (@t478))
% 78.30/78.54  (step @p996 :rule reordering :premises (@p995) :args ((or @t467 @t481 @t479)))
% 78.30/78.55  (step @p997 :rule chain_m_resolution :premises (@p996 @p994 @p948) :args (@t481 @t452 (@list @t466 @t478)))
% 78.30/78.55  (assume-push @p1050 @t243)
% 78.30/78.55  (assume-push @p1051 @t255)
% 78.30/78.55  (assume-push @p1052 @t255)
% 78.30/78.55  (assume-push @p1053 @t243)
% 78.30/78.55  (step @p1002 :rule true_intro :premises (@p1051))
% 78.30/78.55  (step @p965 :rule refl :args (@t254))
% 78.30/78.55  (step @p966 :rule ho_cong :premises (@p100 @p965))
% 78.30/78.55  (step @p1003 :rule trans :premises (@p966 @p1002))
% 78.30/78.55  (step @p1004 :rule true_elim :premises (@p1003))
% 78.30/78.55  (step-pop @p1054 :rule scope :premises (@p1004))
% 78.30/78.55  (step-pop @p1055 :rule scope :premises (@p1054))
% 78.30/78.55  (step @p1005 :rule process_scope :premises (@p1055) :args (@t477))
% 78.30/78.55  (step @p1008 :rule and_intro :premises (@p1051 @p100))
% 78.30/78.55  (step @p1009 :rule modus_ponens :premises (@p1008 @p1005))
% 78.30/78.55  (step-pop @p1056 :rule scope :premises (@p1009))
% 78.30/78.55  (step-pop @p1057 :rule scope :premises (@p1056))
% 78.30/78.55  (step @p1010 :rule process_scope :premises (@p1057) :args (@t477))
% 78.30/78.55  (step @p1013 :rule implies_elim :premises (@p1010))
% 78.30/78.55  (step @p1014 :rule cnf_and_neg :args (@t484))
% 78.30/78.55  (step @p1015 :rule resolution :premises (@p1014 @p1013) :args (true @t484))
% 78.30/78.55  (step @p1016 :rule reordering :premises (@p1015) :args ((or @t482 @t477 @t474)))
% 78.30/78.55  (step @p1017 false :rule chain_m_resolution :premises (@p1016 @p997 @p987 @p100) :args (false (@list true false false) (@list @t477 @t255 @t243)))
% 78.30/78.55  )
% 78.30/78.55  % SZS output end Proof
% 78.30/78.55  % cvc5 exiting
%------------------------------------------------------------------------------