0.06/0.11	% Problem  : theBenchmark.p : TPTP v0.0.0. Released v0.0.0.
0.06/0.12	% Command  : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 240 THM
0.12/0.34	% Computer : n031.cluster.edu
0.12/0.34	% Model    : x86_64 x86_64
0.12/0.34	% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
0.12/0.34	% Memory   : 8042.1875MB
0.12/0.34	% OS       : Linux 3.10.0-693.el7.x86_64
0.12/0.34	% CPULimit : 1920
0.12/0.34	% WCLimit  : 240
0.12/0.34	% DateTime : Sat Sep  6 02:03:52 EDT 2025
0.12/0.34	% CPUTime  : 
0.19/0.49	%----Proving TH0
0.90/1.11	--- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 72s...
0.90/1.11	% SZS status Theorem
0.90/1.11	% SZS output start Proof
0.90/1.11	(
0.90/1.11	(declare-type tptp.a ())
0.90/1.11	(define @t1 () (@var "Xy" tptp.a))
0.90/1.11	(define @t2 () (@var "Xq" (-> tptp.a Bool)))
0.90/1.11	(define @t3 () (_ @t2 @t1))
0.90/1.11	(define @t4 () (@var "Xv" tptp.a))
0.90/1.11	(define @t5 () (_ @t2 @t4))
0.90/1.11	(define @t6 () (@var "Xu" tptp.a))
0.90/1.11	(define @t7 () (_ @t2 @t6))
0.90/1.11	(define @t8 () (@var "R" (-> tptp.a tptp.a Bool)))
0.90/1.11	(define @t9 () (_ (_ @t8 @t6) @t4))
0.90/1.11	(define @t10 () (@var "S" (-> tptp.a tptp.a Bool)))
0.90/1.11	(define @t11 () (_ (_ @t10 @t6) @t4))
0.90/1.11	(define @t12 () (or @t11 @t9))
0.90/1.11	(define @t13 () (and @t12 @t7))
0.90/1.11	(define @t14 () (@list @t6 @t4))
0.90/1.11	(define @t15 () (forall @t14 (=> @t13 @t5)))
0.90/1.11	(define @t16 () (@var "Xw" tptp.a))
0.90/1.11	(define @t17 () (_ @t2 @t16))
0.90/1.11	(define @t18 () (@var "Xx" tptp.a))
0.90/1.11	(define @t19 () (_ (_ @t10 @t18) @t16))
0.90/1.11	(define @t20 () (_ (_ @t8 @t18) @t16))
0.90/1.11	(define @t21 () (or @t20 @t19))
0.90/1.11	(define @t22 () (@list @t16))
0.90/1.11	(define @t23 () (forall @t22 (=> @t21 @t17)))
0.90/1.11	(define @t24 () (and @t23 @t15))
0.90/1.11	(define @t25 () (=> @t24 @t3))
0.90/1.11	(define @t26 () (@list @t2))
0.90/1.11	(define @t27 () (forall @t26 @t25))
0.90/1.11	(define @t28 () (@var "Xy0" tptp.a))
0.90/1.11	(define @t29 () (_ @t2 @t28))
0.90/1.11	(define @t30 () (@var "Xx0" tptp.a))
0.90/1.11	(define @t31 () (_ (_ @t10 @t30) @t16))
0.90/1.11	(define @t32 () (_ (_ @t8 @t30) @t16))
0.90/1.11	(define @t33 () (or @t32 @t31))
0.90/1.11	(define @t34 () (forall @t22 (=> @t33 @t17)))
0.90/1.11	(define @t35 () (or @t9 @t11))
0.90/1.11	(define @t36 () (and @t7 @t35))
0.90/1.11	(define @t37 () (forall @t14 (=> @t36 @t5)))
0.90/1.11	(define @t38 () (and @t37 @t34))
0.90/1.11	(define @t39 () (=> @t38 @t29))
0.90/1.11	(define @t40 () (forall @t26 @t39))
0.90/1.11	(define @t41 () (forall @t22 (=> @t31 @t17)))
0.90/1.11	(define @t42 () (and @t11 @t7))
0.90/1.11	(define @t43 () (forall @t14 (=> @t42 @t5)))
0.90/1.11	(define @t44 () (and @t43 @t41))
0.90/1.11	(define @t45 () (=> @t44 @t29))
0.90/1.11	(define @t46 () (forall @t26 @t45))
0.90/1.11	(define @t47 () (forall @t22 (=> @t32 @t17)))
0.90/1.11	(define @t48 () (and @t9 @t7))
0.90/1.11	(define @t49 () (forall @t14 (=> @t48 @t5)))
0.90/1.11	(define @t50 () (and @t49 @t47))
0.90/1.11	(define @t51 () (=> @t50 @t29))
0.90/1.11	(define @t52 () (forall @t26 @t51))
0.90/1.11	(define @t53 () (or @t52 @t46))
0.90/1.11	(define @t54 () (=> @t53 @t40))
0.90/1.11	(define @t55 () (@list @t30 @t28))
0.90/1.11	(define @t56 () (forall @t55 @t54))
0.90/1.11	(define @t57 () (@var "Xz" tptp.a))
0.90/1.11	(define @t58 () (_ @t2 @t57))
0.90/1.11	(define @t59 () (or @t31 @t32))
0.90/1.11	(define @t60 () (forall @t22 (=> @t59 @t17)))
0.90/1.11	(define @t61 () (and @t37 @t60))
0.90/1.11	(define @t62 () (=> @t61 @t58))
0.90/1.11	(define @t63 () (forall @t26 @t62))
0.90/1.11	(define @t64 () (and @t15 @t34))
0.90/1.11	(define @t65 () (=> @t64 @t29))
0.90/1.11	(define @t66 () (forall @t26 @t65))
0.90/1.11	(define @t67 () (and @t35 @t7))
0.90/1.11	(define @t68 () (forall @t14 (=> @t67 @t5)))
0.90/1.11	(define @t69 () (_ (_ @t8 @t28) @t16))
0.90/1.11	(define @t70 () (_ (_ @t10 @t28) @t16))
0.90/1.11	(define @t71 () (or @t70 @t69))
0.90/1.11	(define @t72 () (forall @t22 (=> @t71 @t17)))
0.90/1.11	(define @t73 () (and @t72 @t68))
0.90/1.11	(define @t74 () (=> @t73 @t58))
0.90/1.11	(define @t75 () (forall @t26 @t74))
0.90/1.11	(define @t76 () (and @t75 @t66))
0.90/1.11	(define @t77 () (=> @t76 @t63))
0.90/1.11	(define @t78 () (@list @t30 @t28 @t57))
0.90/1.11	(define @t79 () (forall @t78 @t77))
0.90/1.11	(define @t80 () (not @t27))
0.90/1.11	(define @t81 () (and @t80 @t79 @t56))
0.90/1.11	(define @t82 () (or @t81 @t27))
0.90/1.11	(define @t83 () (@list @t8 @t10 @t18 @t1))
0.90/1.11	(define @t84 () (forall @t83 @t82))
0.90/1.11	(define @t85 () (not @t84))
0.90/1.11	(define @t86 () (@var "BOUND_VARIABLE_7696" (-> tptp.a Bool)))
0.90/1.11	(define @t87 () (_ @t86 @t1))
0.90/1.11	(define @t88 () (_ @t8 @t6 @t4))
0.90/1.11	(define @t89 () (not @t88))
0.90/1.11	(define @t90 () (_ @t10 @t6 @t4))
0.90/1.11	(define @t91 () (not @t90))
0.90/1.11	(define @t92 () (and @t91 @t89))
0.90/1.11	(define @t93 () (not (forall @t14 (or @t92 (not (_ @t86 @t6)) (_ @t86 @t4)))))
0.90/1.11	(define @t94 () (_ @t10 @t18 @t16))
0.90/1.11	(define @t95 () (_ @t8 @t18 @t16))
0.90/1.11	(define @t96 () (and (not @t95) (not @t94)))
0.90/1.11	(define @t97 () (not (forall @t22 (or @t96 (_ @t86 @t16)))))
0.90/1.11	(define @t98 () (@var "BOUND_VARIABLE_7660" tptp.a))
0.90/1.11	(define @t99 () (@var "BOUND_VARIABLE_7662" (-> tptp.a Bool)))
0.90/1.11	(define @t100 () (@var "BOUND_VARIABLE_7658" tptp.a))
0.90/1.11	(define @t101 () (not (_ @t10 @t100 @t16)))
0.90/1.11	(define @t102 () (not (_ @t8 @t100 @t16)))
0.90/1.11	(define @t103 () (and @t89 @t91))
0.90/1.11	(define @t104 () (_ @t2 @t98))
0.90/1.11	(define @t105 () (_ @t2 @t16))
0.90/1.11	(define @t106 () (_ @t2 @t4))
0.90/1.11	(define @t107 () (_ @t2 @t6))
0.90/1.11	(define @t108 () (not @t107))
0.90/1.11	(define @t109 () (forall @t14 (or @t91 @t108 @t106)))
0.90/1.11	(define @t110 () (not @t109))
0.90/1.11	(define @t111 () (forall @t14 (or @t89 @t108 @t106)))
0.90/1.11	(define @t112 () (not @t111))
0.90/1.11	(define @t113 () (or (and (not (forall @t26 (or @t112 (not (forall @t22 (or @t102 @t105))) @t104))) (not (forall @t26 (or @t110 (not (forall @t22 (or @t101 @t105))) @t104)))) (not (forall @t14 (or (not (_ @t99 @t6)) @t103 (_ @t99 @t4)))) (not (forall @t22 (or (and @t102 @t101) (_ @t99 @t16)))) (_ @t99 @t98)))
0.90/1.11	(define @t114 () (@var "BOUND_VARIABLE_7617" tptp.a))
0.90/1.11	(define @t115 () (@var "BOUND_VARIABLE_7619" (-> tptp.a Bool)))
0.90/1.11	(define @t116 () (@var "BOUND_VARIABLE_7613" tptp.a))
0.90/1.11	(define @t117 () (not (_ @t8 @t116 @t16)))
0.90/1.11	(define @t118 () (not (_ @t10 @t116 @t16)))
0.90/1.11	(define @t119 () (@var "BOUND_VARIABLE_7615" tptp.a))
0.90/1.11	(define @t120 () (forall @t14 (or @t92 @t108 @t106)))
0.90/1.11	(define @t121 () (not @t120))
0.90/1.11	(define @t122 () (forall @t14 (or @t103 @t108 @t106)))
0.90/1.11	(define @t123 () (not @t122))
0.90/1.11	(define @t124 () (or (not (forall @t26 (or (not (forall @t22 (or (and (not (_ @t10 @t119 @t16)) (not (_ @t8 @t119 @t16))) @t105))) @t123 (_ @t2 @t114)))) (not (forall @t26 (or @t121 (not (forall @t22 (or (and @t117 @t118) @t105))) (_ @t2 @t119)))) (not (forall @t14 (or (not (_ @t115 @t6)) @t103 (_ @t115 @t4)))) (not (forall @t22 (or (and @t118 @t117) (_ @t115 @t16)))) (_ @t115 @t114)))
0.90/1.11	(define @t125 () (_ @t2 @t1))
0.90/1.11	(define @t126 () (forall @t22 (or @t96 @t105)))
0.90/1.11	(define @t127 () (not @t126))
0.90/1.11	(define @t128 () (forall @t26 (or @t127 @t121 @t125)))
0.90/1.11	(define @t129 () (not @t128))
0.90/1.11	(define @t130 () (and @t129 @t124 @t113))
0.90/1.11	(define @t131 () (or @t130 @t97 @t93 @t87))
0.90/1.11	(define @t132 () (@list @t8 @t10 @t18 @t1 @t116 @t119 @t114 @t115 @t100 @t98 @t99 @t86))
0.90/1.11	(define @t133 () (forall @t132 @t131))
0.90/1.11	(define @t134 () (@quantifiers_skolemize @t133 10))
0.90/1.11	(define @t135 () (_ @t134 @t4))
0.90/1.11	(define @t136 () (@quantifiers_skolemize @t133 1))
0.90/1.11	(define @t137 () (not (_ @t136 @t6 @t4)))
0.90/1.11	(define @t138 () (@quantifiers_skolemize @t133 0))
0.90/1.11	(define @t139 () (not (_ @t138 @t6 @t4)))
0.90/1.11	(define @t140 () (and @t139 @t137))
0.90/1.11	(define @t141 () (not (_ @t134 @t6)))
0.90/1.11	(define @t142 () (forall @t14 (or @t141 @t140 @t135)))
0.90/1.11	(define @t143 () (@quantifiers_skolemize @t133 9))
0.90/1.11	(define @t144 () (_ @t134 @t143))
0.90/1.11	(define @t145 () (_ @t134 @t16))
0.90/1.11	(define @t146 () (@quantifiers_skolemize @t133 8))
0.90/1.11	(define @t147 () (not (_ @t136 @t146 @t16)))
0.90/1.11	(define @t148 () (not (_ @t138 @t146 @t16)))
0.90/1.11	(define @t149 () (forall @t22 (or (and @t148 @t147) @t145)))
0.90/1.11	(define @t150 () (not @t149))
0.90/1.11	(define @t151 () (not @t142))
0.90/1.11	(define @t152 () (_ @t2 @t143))
0.90/1.11	(define @t153 () (forall @t26 (or (not (forall @t14 (or @t137 @t108 @t106))) (not (forall @t22 (or @t147 @t105))) @t152)))
0.90/1.11	(define @t154 () (not @t153))
0.90/1.11	(define @t155 () (forall @t26 (or (not (forall @t14 (or @t139 @t108 @t106))) (not (forall @t22 (or @t148 @t105))) @t152)))
0.90/1.11	(define @t156 () (not @t155))
0.90/1.11	(define @t157 () (and @t156 @t154))
0.90/1.11	(define @t158 () (or @t157 @t151 @t150 @t144))
0.90/1.11	(define @t159 () (forall @t14 (or @t139 @t141 @t135)))
0.90/1.11	(define @t160 () (@quantifiers_skolemize @t159 1))
0.90/1.11	(define @t161 () (@quantifiers_skolemize @t159 0))
0.90/1.11	(define @t162 () (_ @t134 @t160))
0.90/1.11	(define @t163 () (_ @t138 @t161 @t160))
0.90/1.11	(define @t164 () (not @t163))
0.90/1.11	(define @t165 () (and @t164 (not (_ @t136 @t161 @t160))))
0.90/1.11	(define @t166 () (_ @t134 @t161))
0.90/1.11	(define @t167 () (not @t166))
0.90/1.11	(define @t168 () (or @t167 @t165 @t162))
0.90/1.11	(define @t169 () (forall @t14 (or @t137 @t141 @t135)))
0.90/1.11	(define @t170 () (@quantifiers_skolemize @t169 1))
0.90/1.11	(define @t171 () (@quantifiers_skolemize @t169 0))
0.90/1.11	(define @t172 () (_ @t134 @t170))
0.90/1.11	(define @t173 () (_ @t136 @t171 @t170))
0.90/1.11	(define @t174 () (not @t173))
0.90/1.11	(define @t175 () (and (not (_ @t138 @t171 @t170)) @t174))
0.90/1.11	(define @t176 () (_ @t134 @t171))
0.90/1.11	(define @t177 () (not @t176))
0.90/1.11	(define @t178 () (or @t177 @t175 @t172))
0.90/1.11	(define @t179 () (forall @t22 (or @t148 @t145)))
0.90/1.11	(define @t180 () (@quantifiers_skolemize @t179 0))
0.90/1.11	(define @t181 () (_ @t134 @t180))
0.90/1.11	(define @t182 () (_ @t138 @t146 @t180))
0.90/1.11	(define @t183 () (not @t182))
0.90/1.11	(define @t184 () (and @t183 (not (_ @t136 @t146 @t180))))
0.90/1.11	(define @t185 () (or @t184 @t181))
0.90/1.11	(define @t186 () (or @t164 @t167 @t162))
0.90/1.11	(define @t187 () (not @t168))
0.90/1.11	(define @t188 () (@list true true false false))
0.90/1.11	(define @t189 () (or @t174 @t177 @t172))
0.90/1.11	(define @t190 () (not @t178))
0.90/1.11	(define @t191 () (or @t183 @t181))
0.90/1.11	(define @t192 () (not @t185))
0.90/1.11	(define @t193 () (@list true true false))
0.90/1.11	(define @t194 () (not @t186))
0.90/1.11	(define @t195 () (not @t159))
0.90/1.11	(define @t196 () (not @t189))
0.90/1.11	(define @t197 () (not @t169))
0.90/1.11	(define @t198 () (not @t191))
0.90/1.11	(define @t199 () (not @t179))
0.90/1.11	(define @t200 () (or @t195 @t199 @t144))
0.90/1.11	(define @t201 () (@list @t134))
0.90/1.11	(define @t202 () (forall @t22 (or @t147 @t145)))
0.90/1.11	(define @t203 () (not @t202))
0.90/1.11	(define @t204 () (or @t197 @t203 @t144))
0.90/1.11	(define @t205 () (@quantifiers_skolemize @t202 0))
0.90/1.11	(define @t206 () (_ @t134 @t205))
0.90/1.11	(define @t207 () (_ @t136 @t146 @t205))
0.90/1.11	(define @t208 () (not @t207))
0.90/1.11	(define @t209 () (or @t208 @t206))
0.90/1.11	(define @t210 () (not @t209))
0.90/1.11	(define @t211 () (and (not (_ @t138 @t146 @t205)) @t208))
0.90/1.11	(define @t212 () (or @t211 @t206))
0.90/1.11	(define @t213 () (@list true false false))
0.90/1.11	(define @t214 () (or @t97 @t93 @t87))
0.90/1.11	(define @t215 () (or @t130 @t214))
0.90/1.11	(define @t216 () (forall @t132 @t215))
0.90/1.11	(define @t217 () (forall (@list @t116 @t119 @t114 @t115 @t100 @t98 @t99 @t86) @t215))
0.90/1.11	(define @t218 () (forall (@list @t86) @t214))
0.90/1.11	(define @t219 () (@list @t2))
0.90/1.11	(define @t220 () (forall (@list @t100 @t98 @t99) @t113))
0.90/1.11	(define @t221 () (@var "BOUND_VARIABLE_7591" (-> tptp.a Bool)))
0.90/1.11	(define @t222 () (@list @t116 @t119 @t114 @t115 @t100 @t98 @t99))
0.90/1.11	(define @t223 () (forall @t222 @t113))
0.90/1.11	(define @t224 () (forall (@list @t116 @t119 @t114 @t115) @t124))
0.90/1.11	(define @t225 () (@var "BOUND_VARIABLE_7512" (-> tptp.a Bool)))
0.90/1.11	(define @t226 () (forall @t222 @t124))
0.90/1.11	(define @t227 () (forall @t222 @t129))
0.90/1.11	(define @t228 () (and @t227 @t226 @t223))
0.90/1.11	(define @t229 () (forall @t222 @t130))
0.90/1.11	(define @t230 () (or @t229 @t218))
0.90/1.11	(define @t231 () (_ @t221 @t28))
0.90/1.11	(define @t232 () (_ @t10 @t30 @t16))
0.90/1.11	(define @t233 () (not @t232))
0.90/1.11	(define @t234 () (_ @t8 @t30 @t16))
0.90/1.11	(define @t235 () (not @t234))
0.90/1.11	(define @t236 () (and @t235 @t233))
0.90/1.11	(define @t237 () (not (forall @t22 (or @t236 (_ @t221 @t16)))))
0.90/1.11	(define @t238 () (not (forall @t14 (or (not (_ @t221 @t6)) @t103 (_ @t221 @t4)))))
0.90/1.11	(define @t239 () (_ @t2 @t28))
0.90/1.11	(define @t240 () (forall @t22 (or @t233 @t105)))
0.90/1.11	(define @t241 () (not @t240))
0.90/1.11	(define @t242 () (forall @t26 (or @t110 @t241 @t239)))
0.90/1.11	(define @t243 () (forall @t22 (or @t235 @t105)))
0.90/1.11	(define @t244 () (not @t243))
0.90/1.11	(define @t245 () (forall @t26 (or @t112 @t244 @t239)))
0.90/1.11	(define @t246 () (and (not @t245) (not @t242)))
0.90/1.11	(define @t247 () (or @t246 @t238 @t237 @t231))
0.90/1.11	(define @t248 () (@list @t30 @t28 @t221))
0.90/1.11	(define @t249 () (_ @t225 @t57))
0.90/1.11	(define @t250 () (and @t233 @t235))
0.90/1.11	(define @t251 () (not (forall @t22 (or @t250 (_ @t225 @t16)))))
0.90/1.11	(define @t252 () (not (forall @t14 (or (not (_ @t225 @t6)) @t103 (_ @t225 @t4)))))
0.90/1.11	(define @t253 () (forall @t22 (or @t236 @t105)))
0.90/1.11	(define @t254 () (not @t253))
0.90/1.11	(define @t255 () (forall @t26 (or @t121 @t254 @t239)))
0.90/1.11	(define @t256 () (not @t255))
0.90/1.11	(define @t257 () (_ @t2 @t57))
0.90/1.11	(define @t258 () (_ @t8 @t28 @t16))
0.90/1.11	(define @t259 () (_ @t10 @t28 @t16))
0.90/1.11	(define @t260 () (forall @t22 (or (and (not @t259) (not @t258)) @t105)))
0.90/1.11	(define @t261 () (not @t260))
0.90/1.11	(define @t262 () (forall @t26 (or @t261 @t123 @t257)))
0.90/1.11	(define @t263 () (not @t262))
0.90/1.11	(define @t264 () (or @t263 @t256 @t252 @t251 @t249))
0.90/1.11	(define @t265 () (@list @t30 @t28 @t57 @t225))
0.90/1.11	(define @t266 () (or @t127 @t121 @t3))
0.90/1.11	(define @t267 () (and @t126 @t120))
0.90/1.11	(define @t268 () (not @t7))
0.90/1.11	(define @t269 () (not @t9))
0.90/1.11	(define @t270 () (not @t11))
0.90/1.11	(define @t271 () (and @t270 @t269))
0.90/1.11	(define @t272 () (or @t271 @t268 @t5))
0.90/1.11	(define @t273 () (not @t19))
0.90/1.11	(define @t274 () (not @t20))
0.90/1.11	(define @t275 () (and @t274 @t273))
0.90/1.11	(define @t276 () (or @t275 @t17))
0.90/1.11	(define @t277 () (or @t238 @t237 @t231))
0.90/1.11	(define @t278 () (or @t246 @t277))
0.90/1.11	(define @t279 () (forall @t248 @t278))
0.90/1.11	(define @t280 () (@list @t221))
0.90/1.11	(define @t281 () (forall @t280 @t278))
0.90/1.11	(define @t282 () (forall @t280 @t277))
0.90/1.11	(define @t283 () (or @t246 @t282))
0.90/1.11	(define @t284 () (forall @t14 (or @t108 @t103 @t106)))
0.90/1.11	(define @t285 () (not @t284))
0.90/1.11	(define @t286 () (forall @t26 (or @t285 @t254 @t239)))
0.90/1.11	(define @t287 () (or @t245 @t242))
0.90/1.11	(define @t288 () (or @t285 @t254 @t29))
0.90/1.11	(define @t289 () (and @t284 @t253))
0.90/1.11	(define @t290 () (not @t31))
0.90/1.11	(define @t291 () (not @t32))
0.90/1.11	(define @t292 () (and @t291 @t290))
0.90/1.11	(define @t293 () (or @t292 @t17))
0.90/1.11	(define @t294 () (and @t269 @t270))
0.90/1.11	(define @t295 () (or @t268 @t294 @t5))
0.90/1.11	(define @t296 () (not @t35))
0.90/1.11	(define @t297 () (or @t110 @t241 @t29))
0.90/1.11	(define @t298 () (and @t109 @t240))
0.90/1.11	(define @t299 () (or @t290 @t17))
0.90/1.11	(define @t300 () (or @t270 @t268 @t5))
0.90/1.11	(define @t301 () (or @t112 @t244 @t29))
0.90/1.11	(define @t302 () (and @t111 @t243))
0.90/1.11	(define @t303 () (or @t291 @t17))
0.90/1.11	(define @t304 () (or @t269 @t268 @t5))
0.90/1.11	(define @t305 () (or @t252 @t251 @t249))
0.90/1.11	(define @t306 () (or @t263 @t256 @t305))
0.90/1.11	(define @t307 () (forall @t265 @t306))
0.90/1.11	(define @t308 () (@list @t225))
0.90/1.11	(define @t309 () (forall @t308 @t306))
0.90/1.11	(define @t310 () (forall @t308 @t305))
0.90/1.11	(define @t311 () (or @t263 @t256 @t310))
0.90/1.11	(define @t312 () (forall @t22 (or @t250 @t105)))
0.90/1.11	(define @t313 () (not @t312))
0.90/1.11	(define @t314 () (forall @t26 (or @t285 @t313 @t257)))
0.90/1.11	(define @t315 () (or @t263 @t256 @t314))
0.90/1.11	(define @t316 () (and @t262 @t255))
0.90/1.11	(define @t317 () (or @t285 @t313 @t58))
0.90/1.11	(define @t318 () (and @t284 @t312))
0.90/1.11	(define @t319 () (and @t290 @t291))
0.90/1.11	(define @t320 () (or @t319 @t17))
0.90/1.11	(define @t321 () (or @t121 @t254 @t29))
0.90/1.11	(define @t322 () (and @t120 @t253))
0.90/1.11	(define @t323 () (or @t261 @t123 @t58))
0.90/1.11	(define @t324 () (and @t260 @t122))
0.90/1.11	(define @t325 () (or @t294 @t268 @t5))
0.90/1.11	(define @t326 () (not @t69))
0.90/1.11	(define @t327 () (not @t70))
0.90/1.11	(define @t328 () (and @t327 @t326))
0.90/1.11	(define @t329 () (or @t328 @t17))
0.90/1.11	(define @t330 () (@quantifiers_skolemize @t133 3))
0.90/1.11	(define @t331 () (@quantifiers_skolemize @t133 11))
0.90/1.11	(define @t332 () (_ @t331 @t330))
0.90/1.11	(define @t333 () (and @t137 @t139))
0.90/1.11	(define @t334 () (forall @t14 (or @t333 (not (_ @t331 @t6)) (_ @t331 @t4))))
0.90/1.11	(define @t335 () (not @t334))
0.90/1.11	(define @t336 () (@quantifiers_skolemize @t133 2))
0.90/1.11	(define @t337 () (and (not (_ @t138 @t336 @t16)) (not (_ @t136 @t336 @t16))))
0.90/1.11	(define @t338 () (forall @t22 (or @t337 (_ @t331 @t16))))
0.90/1.11	(define @t339 () (not @t338))
0.90/1.11	(define @t340 () (@quantifiers_skolemize @t133 6))
0.90/1.11	(define @t341 () (@quantifiers_skolemize @t133 7))
0.90/1.11	(define @t342 () (_ @t341 @t340))
0.90/1.11	(define @t343 () (_ @t341 @t16))
0.90/1.11	(define @t344 () (@quantifiers_skolemize @t133 4))
0.90/1.11	(define @t345 () (not (_ @t138 @t344 @t16)))
0.90/1.11	(define @t346 () (not (_ @t136 @t344 @t16)))
0.90/1.11	(define @t347 () (and @t346 @t345))
0.90/1.11	(define @t348 () (forall @t22 (or @t347 @t343)))
0.90/1.11	(define @t349 () (not @t348))
0.90/1.11	(define @t350 () (_ @t341 @t4))
0.90/1.11	(define @t351 () (not (_ @t341 @t6)))
0.90/1.11	(define @t352 () (or @t351 @t140 @t350))
0.90/1.11	(define @t353 () (forall @t14 @t352))
0.90/1.11	(define @t354 () (not @t353))
0.90/1.11	(define @t355 () (@quantifiers_skolemize @t133 5))
0.90/1.11	(define @t356 () (and @t345 @t346))
0.90/1.11	(define @t357 () (not (forall @t14 (or @t333 @t108 @t106))))
0.90/1.11	(define @t358 () (forall @t26 (or @t357 (not (forall @t22 (or @t356 @t105))) (_ @t2 @t355))))
0.90/1.11	(define @t359 () (not @t358))
0.90/1.11	(define @t360 () (and (not (_ @t136 @t355 @t16)) (not (_ @t138 @t355 @t16))))
0.90/1.11	(define @t361 () (forall @t26 (or (not (forall @t22 (or @t360 @t105))) (not (forall @t14 (or @t140 @t108 @t106))) (_ @t2 @t340))))
0.90/1.11	(define @t362 () (not @t361))
0.90/1.11	(define @t363 () (or @t362 @t359 @t354 @t349 @t342))
0.90/1.11	(define @t364 () (forall @t26 (or (not (forall @t22 (or @t337 @t105))) @t357 (_ @t2 @t330))))
0.90/1.11	(define @t365 () (not @t364))
0.90/1.11	(define @t366 () (and @t365 @t363 @t158))
0.90/1.11	(define @t367 () (or @t366 @t339 @t335 @t332))
0.90/1.11	(define @t368 () (@list true))
0.90/1.11	(define @t369 () (@list @t367))
0.90/1.11	(define @t370 () (or @t339 @t335 @t332))
0.90/1.11	(define @t371 () (not @t158))
0.90/1.11	(define @t372 () (not @t363))
0.90/1.11	(define @t373 () (@list @t363))
0.90/1.11	(define @t374 () (forall @t22 (or @t360 @t343)))
0.90/1.11	(define @t375 () (@quantifiers_skolemize @t374 0))
0.90/1.11	(define @t376 () (_ @t341 @t375))
0.90/1.11	(define @t377 () (_ @t136 @t355 @t375))
0.90/1.11	(define @t378 () (not @t377))
0.90/1.11	(define @t379 () (_ @t138 @t355 @t375))
0.90/1.11	(define @t380 () (not @t379))
0.90/1.11	(define @t381 () (and @t380 @t378))
0.90/1.11	(define @t382 () (_ @t341 @t355))
0.90/1.11	(define @t383 () (not @t382))
0.90/1.11	(define @t384 () (or @t383 @t381 @t376))
0.90/1.11	(define @t385 () (@list false))
0.90/1.11	(define @t386 () (@list @t353))
0.90/1.11	(define @t387 () (@list @t341))
0.90/1.11	(define @t388 () (or @t356 @t343))
0.90/1.11	(define @t389 () (forall @t22 @t388))
0.90/1.11	(define @t390 () (not @t389))
0.90/1.11	(define @t391 () (forall @t14 (or @t333 @t351 @t350)))
0.90/1.11	(define @t392 () (not @t391))
0.90/1.11	(define @t393 () (or @t392 @t390 @t382))
0.90/1.11	(define @t394 () (or @t140 @t351 @t350))
0.90/1.11	(define @t395 () (forall @t14 @t394))
0.90/1.11	(define @t396 () (not @t395))
0.90/1.11	(define @t397 () (not @t374))
0.90/1.11	(define @t398 () (or @t397 @t396 @t342))
0.90/1.11	(define @t399 () (and @t378 @t380))
0.90/1.11	(define @t400 () (or @t399 @t376))
0.90/1.11	(define @t401 () (not @t400))
0.90/1.11	(define @t402 () (not @t384))
0.90/1.11	(define @t403 () (not @t381))
0.90/1.11	(assume @p1 @t85)
0.90/1.11	(assume @p2 true)
0.90/1.11	(step @p3 :rule bool-double-not-elim :args (@t142))
0.90/1.11	(step @p4 :rule refl :args (@t158))
0.90/1.11	(step @p5 :rule nary_cong :premises (@p4 @p3) :args ((or @t158 (not @t151))))
0.90/1.11	(step @p6 :rule cnf_or_neg :args (@t158 1))
0.90/1.11	(step @p7 :rule eq_resolve :premises (@p6 @p5))
0.90/1.11	(step @p8 :rule reordering :premises (@p7) :args ((or @t142 @t158)))
0.90/1.11	(step @p9 :rule bool-double-not-elim :args (@t149))
0.90/1.11	(step @p10 :rule nary_cong :premises (@p4 @p9) :args ((or @t158 (not @t150))))
0.90/1.11	(step @p11 :rule cnf_or_neg :args (@t158 2))
0.90/1.11	(step @p12 :rule eq_resolve :premises (@p11 @p10))
0.90/1.11	(step @p13 :rule reordering :premises (@p12) :args ((or @t149 @t158)))
0.90/1.11	(step @p14 :rule cnf_or_neg :args (@t158 3))
0.90/1.11	(step @p15 :rule cnf_or_neg :args (@t158 0))
0.90/1.11	(assume-push @p677 @t142)
0.90/1.11	(step @p17 :rule instantiate :premises (@p677) :args ((@list @t161 @t160)))
0.90/1.11	(step-pop @p677 :rule scope :premises (@p17))
0.90/1.11	(step @p18 :rule process_scope :premises (@p677) :args (@t168))
0.90/1.11	(step @p20 :rule implies_elim :premises (@p18))
0.90/1.11	(assume-push @p679 @t142)
0.90/1.11	(step @p22 :rule instantiate :premises (@p679) :args ((@list @t171 @t170)))
0.90/1.11	(step-pop @p679 :rule scope :premises (@p22))
0.90/1.11	(step @p23 :rule process_scope :premises (@p679) :args (@t178))
0.90/1.11	(step @p25 :rule implies_elim :premises (@p23))
0.90/1.11	(assume-push @p681 @t149)
0.90/1.11	(step @p27 :rule instantiate :premises (@p681) :args ((@list @t180)))
0.90/1.11	(step-pop @p681 :rule scope :premises (@p27))
0.90/1.11	(step @p28 :rule process_scope :premises (@p681) :args (@t185))
0.90/1.11	(step @p30 :rule implies_elim :premises (@p28))
0.90/1.11	(step @p31 :rule bool-double-not-elim :args (@t163))
0.90/1.11	(step @p32 :rule refl :args (@t186))
0.90/1.11	(step @p33 :rule nary_cong :premises (@p32 @p31) :args ((or @t186 (not @t164))))
0.90/1.11	(step @p34 :rule cnf_or_neg :args (@t186 0))
0.90/1.11	(step @p35 :rule eq_resolve :premises (@p34 @p33))
0.90/1.11	(step @p36 :rule reordering :premises (@p35) :args ((or @t163 @t186)))
0.90/1.11	(step @p37 :rule bool-double-not-elim :args (@t166))
0.90/1.11	(step @p38 :rule nary_cong :premises (@p32 @p37) :args ((or @t186 (not @t167))))
0.90/1.11	(step @p39 :rule cnf_or_neg :args (@t186 1))
0.90/1.11	(step @p40 :rule eq_resolve :premises (@p39 @p38))
0.90/1.11	(step @p41 :rule reordering :premises (@p40) :args ((or @t166 @t186)))
0.90/1.11	(step @p42 :rule cnf_or_neg :args (@t186 2))
0.90/1.11	(step @p43 :rule cnf_and_pos :args (@t165 0))
0.90/1.11	(step @p44 :rule reordering :premises (@p43) :args ((or @t164 (not @t165))))
0.90/1.11	(step @p45 :rule cnf_or_pos :args (@t168))
0.90/1.11	(step @p46 :rule reordering :premises (@p45) :args ((or @t167 @t162 @t165 @t187)))
0.90/1.11	(step @p47 :rule chain_resolution :premises (@p46 @p44 @p42 @p41 @p36) :args (@t188 (@list @t165 @t162 @t166 @t163)))
0.90/1.11	(step @p48 :rule factoring :premises (@p47))
0.90/1.11	(step @p49 :rule reordering :premises (@p48) :args ((or @t186 @t187)))
0.90/1.11	(step @p50 :rule bool-double-not-elim :args (@t173))
0.90/1.11	(step @p51 :rule refl :args (@t189))
0.90/1.11	(step @p52 :rule nary_cong :premises (@p51 @p50) :args ((or @t189 (not @t174))))
0.90/1.11	(step @p53 :rule cnf_or_neg :args (@t189 0))
0.90/1.11	(step @p54 :rule eq_resolve :premises (@p53 @p52))
0.90/1.11	(step @p55 :rule reordering :premises (@p54) :args ((or @t173 @t189)))
0.90/1.11	(step @p56 :rule bool-double-not-elim :args (@t176))
0.90/1.11	(step @p57 :rule nary_cong :premises (@p51 @p56) :args ((or @t189 (not @t177))))
0.90/1.11	(step @p58 :rule cnf_or_neg :args (@t189 1))
0.90/1.11	(step @p59 :rule eq_resolve :premises (@p58 @p57))
0.90/1.11	(step @p60 :rule reordering :premises (@p59) :args ((or @t176 @t189)))
0.90/1.11	(step @p61 :rule cnf_or_neg :args (@t189 2))
0.90/1.11	(step @p62 :rule cnf_and_pos :args (@t175 1))
0.90/1.11	(step @p63 :rule reordering :premises (@p62) :args ((or @t174 (not @t175))))
0.90/1.11	(step @p64 :rule cnf_or_pos :args (@t178))
0.90/1.11	(step @p65 :rule reordering :premises (@p64) :args ((or @t177 @t172 @t175 @t190)))
0.90/1.11	(step @p66 :rule chain_resolution :premises (@p65 @p63 @p61 @p60 @p55) :args (@t188 (@list @t175 @t172 @t176 @t173)))
0.90/1.11	(step @p67 :rule factoring :premises (@p66))
0.90/1.11	(step @p68 :rule reordering :premises (@p67) :args ((or @t189 @t190)))
0.90/1.11	(step @p69 :rule bool-double-not-elim :args (@t182))
0.90/1.11	(step @p70 :rule refl :args (@t191))
0.90/1.11	(step @p71 :rule nary_cong :premises (@p70 @p69) :args ((or @t191 (not @t183))))
0.90/1.11	(step @p72 :rule cnf_or_neg :args (@t191 0))
0.90/1.11	(step @p73 :rule eq_resolve :premises (@p72 @p71))
0.90/1.11	(step @p74 :rule reordering :premises (@p73) :args ((or @t182 @t191)))
0.90/1.11	(step @p75 :rule cnf_or_neg :args (@t191 1))
0.90/1.11	(step @p76 :rule cnf_and_pos :args (@t184 0))
0.90/1.11	(step @p77 :rule reordering :premises (@p76) :args ((or @t183 (not @t184))))
0.90/1.11	(step @p78 :rule cnf_or_pos :args (@t185))
0.90/1.11	(step @p79 :rule reordering :premises (@p78) :args ((or @t181 @t184 @t192)))
0.90/1.11	(step @p80 :rule chain_resolution :premises (@p79 @p77 @p75 @p74) :args (@t193 (@list @t184 @t181 @t182)))
0.90/1.11	(step @p81 :rule factoring :premises (@p80))
0.90/1.11	(step @p82 :rule reordering :premises (@p81) :args ((or @t191 @t192)))
0.90/1.11	(step @p83 :rule refl :args (@t194))
0.90/1.11	(step @p84 :rule bool-double-not-elim :args (@t159))
0.90/1.11	(step @p85 :rule nary_cong :premises (@p84 @p83) :args ((or (not @t195) @t194)))
0.90/1.11	(assume-push @p683 @t195)
0.90/1.11	(step @p87 :rule skolemize :premises (@p683))
0.90/1.11	(step-pop @p683 :rule scope :premises (@p87))
0.90/1.11	(step @p88 :rule process_scope :premises (@p683) :args (@t194))
0.90/1.11	(step @p90 :rule implies_elim :premises (@p88))
0.90/1.11	(step @p91 :rule eq_resolve :premises (@p90 @p85))
0.90/1.11	(step @p92 :rule refl :args (@t196))
0.90/1.11	(step @p93 :rule bool-double-not-elim :args (@t169))
0.90/1.11	(step @p94 :rule nary_cong :premises (@p93 @p92) :args ((or (not @t197) @t196)))
0.90/1.11	(assume-push @p685 @t197)
0.90/1.11	(step @p96 :rule skolemize :premises (@p685))
0.90/1.11	(step-pop @p685 :rule scope :premises (@p96))
0.90/1.11	(step @p97 :rule process_scope :premises (@p685) :args (@t196))
0.90/1.11	(step @p99 :rule implies_elim :premises (@p97))
0.90/1.11	(step @p100 :rule eq_resolve :premises (@p99 @p94))
0.90/1.11	(step @p101 :rule refl :args (@t198))
0.90/1.11	(step @p102 :rule bool-double-not-elim :args (@t179))
0.90/1.11	(step @p103 :rule nary_cong :premises (@p102 @p101) :args ((or (not @t199) @t198)))
0.90/1.11	(assume-push @p687 @t199)
0.90/1.11	(step @p105 :rule skolemize :premises (@p687))
0.90/1.11	(step-pop @p687 :rule scope :premises (@p105))
0.90/1.11	(step @p106 :rule process_scope :premises (@p687) :args (@t198))
0.90/1.11	(step @p108 :rule implies_elim :premises (@p106))
0.90/1.11	(step @p109 :rule eq_resolve :premises (@p108 @p103))
0.90/1.11	(step @p110 :rule cnf_or_pos :args (@t200))
0.90/1.11	(step @p111 :rule reordering :premises (@p110) :args ((or @t144 @t195 @t199 (not @t200))))
0.90/1.11	(assume-push @p689 @t155)
0.90/1.11	(step @p113 :rule instantiate :premises (@p689) :args (@t201))
0.90/1.11	(step-pop @p689 :rule scope :premises (@p113))
0.90/1.11	(step @p114 :rule process_scope :premises (@p689) :args (@t200))
0.90/1.11	(step @p116 :rule implies_elim :premises (@p114))
0.90/1.11	(step @p117 :rule bool-double-not-elim :args (@t153))
0.90/1.11	(step @p118 :rule bool-double-not-elim :args (@t155))
0.90/1.11	(step @p119 :rule refl :args (@t157))
0.90/1.11	(step @p120 :rule nary_cong :premises (@p119 @p118 @p117) :args ((or @t157 (not @t156) (not @t154))))
0.90/1.11	(step @p121 :rule cnf_and_neg :args (@t157))
0.90/1.11	(step @p122 :rule eq_resolve :premises (@p121 @p120))
0.90/1.11	(step @p123 :rule reordering :premises (@p122) :args ((or @t155 @t153 @t157)))
0.90/1.11	(assume-push @p691 @t153)
0.90/1.11	(step @p125 :rule instantiate :premises (@p691) :args (@t201))
0.90/1.11	(step-pop @p691 :rule scope :premises (@p125))
0.90/1.11	(step @p126 :rule process_scope :premises (@p691) :args (@t204))
0.90/1.11	(step @p128 :rule implies_elim :premises (@p126))
0.90/1.11	(step @p129 :rule cnf_or_pos :args (@t204))
0.90/1.11	(step @p130 :rule reordering :premises (@p129) :args ((or @t144 @t197 @t203 (not @t204))))
0.90/1.11	(step @p131 :rule refl :args (@t210))
0.90/1.11	(step @p132 :rule bool-double-not-elim :args (@t202))
0.90/1.11	(step @p133 :rule nary_cong :premises (@p132 @p131) :args ((or (not @t203) @t210)))
0.90/1.11	(assume-push @p693 @t203)
0.90/1.11	(step @p135 :rule skolemize :premises (@p693))
0.90/1.11	(step-pop @p693 :rule scope :premises (@p135))
0.90/1.11	(step @p136 :rule process_scope :premises (@p693) :args (@t210))
0.90/1.11	(step @p138 :rule implies_elim :premises (@p136))
0.90/1.11	(step @p139 :rule eq_resolve :premises (@p138 @p133))
0.90/1.11	(step @p140 :rule bool-double-not-elim :args (@t207))
0.90/1.11	(step @p141 :rule refl :args (@t209))
0.90/1.11	(step @p142 :rule nary_cong :premises (@p141 @p140) :args ((or @t209 (not @t208))))
0.90/1.11	(step @p143 :rule cnf_or_neg :args (@t209 0))
0.90/1.11	(step @p144 :rule eq_resolve :premises (@p143 @p142))
0.90/1.11	(step @p145 :rule reordering :premises (@p144) :args ((or @t207 @t209)))
0.90/1.11	(step @p146 :rule cnf_or_neg :args (@t209 1))
0.90/1.11	(step @p147 :rule cnf_and_pos :args (@t211 1))
0.90/1.11	(step @p148 :rule reordering :premises (@p147) :args ((or @t208 (not @t211))))
0.90/1.11	(assume-push @p695 @t149)
0.90/1.11	(step @p150 :rule instantiate :premises (@p695) :args ((@list @t205)))
0.90/1.11	(step-pop @p695 :rule scope :premises (@p150))
0.90/1.11	(step @p151 :rule process_scope :premises (@p695) :args (@t212))
0.90/1.11	(step @p153 :rule implies_elim :premises (@p151))
0.90/1.11	(step @p154 :rule cnf_or_pos :args (@t212))
0.90/1.11	(step @p155 :rule reordering :premises (@p154) :args ((or @t206 @t211 (not @t212))))
0.90/1.11	(step @p156 :rule chain_resolution :premises (@p155 @p153 @p148 @p146 @p145) :args ((@list false true true false) (@list @t212 @t211 @t206 @t207)))
0.90/1.11	(step @p157 :rule factoring :premises (@p156))
0.90/1.11	(step @p158 :rule chain_resolution :premises (@p157 @p139 @p130 @p128 @p123 @p116 @p111 @p109 @p100 @p91 @p82 @p68 @p49 @p30 @p25 @p20 @p15) :args ((@list true true false false true true false false false false false false false false false true) (@list @t209 @t202 @t204 @t153 @t155 @t200 @t179 @t169 @t159 @t191 @t189 @t186 @t185 @t178 @t168 @t157)))
0.90/1.11	(step @p159 :rule factoring :premises (@p158))
0.90/1.11	(step @p160 :rule chain_resolution :premises (@p159 @p14 @p13 @p8) :args (@t213 (@list @t144 @t149 @t142)))
0.90/1.11	(step @p161 :rule factoring :premises (@p160))
0.90/1.11	(step @p162 :rule aci_norm :args ((= @t215 @t131)))
0.90/1.11	(step @p163 :rule cong :premises (@p162) :args (@t216))
0.90/1.11	(step @p164 :rule quant-merge-prenex :args ((= (forall @t83 @t217) @t216)))
0.90/1.11	(step @p165 :rule alpha_equiv :args (@t218 (@list @t86) @t219))
0.90/1.11	(step @p166 :rule alpha_equiv :args (@t220 (@list @t100 @t98 @t99) (@list @t30 @t28 @t221)))
0.90/1.11	(step @p167 :rule quant-unused-vars :args ((= @t223 @t220)))
0.90/1.11	(step @p168 :rule trans :premises (@p167 @p166))
0.90/1.11	(step @p169 :rule alpha_equiv :args (@t224 (@list @t116 @t119 @t114 @t115) (@list @t30 @t28 @t57 @t225)))
0.90/1.11	(step @p170 :rule quant-unused-vars :args ((= @t226 @t224)))
0.90/1.11	(step @p171 :rule trans :premises (@p170 @p169))
0.90/1.11	(step @p172 :rule quant-unused-vars :args ((= @t227 @t129)))
0.90/1.11	(step @p173 :rule nary_cong :premises (@p172 @p171 @p168) :args (@t228))
0.90/1.11	(step @p174 :rule quant-miniscope-and :args ((= @t229 @t228)))
0.90/1.11	(step @p175 :rule trans :premises (@p174 @p173))
0.90/1.11	(step @p176 :rule nary_cong :premises (@p175 @p165) :args (@t230))
0.90/1.11	(step @p177 :rule quant-miniscope-or :args ((= @t217 @t230)))
0.90/1.11	(step @p178 :rule trans :premises (@p177 @p176))
0.90/1.11	(step @p179 :rule symm :premises (@p178))
0.90/1.11	(step @p180 :rule cong :premises (@p179) :args ((forall @t83 (or (and @t129 (forall @t265 @t264) (forall @t248 @t247)) @t128))))
0.90/1.11	(step @p181 :rule trans :premises (@p180 @p164))
0.90/1.11	(step @p182 :rule trans :premises (@p181 @p163))
0.90/1.11	(step @p183 :rule refl :args (@t125))
0.90/1.11	(step @p184 :rule refl :args (@t3))
0.90/1.11	(step @p185 :rule cong :premises (@p184 @p183) :args ((= @t3 @t125)))
0.90/1.11	(step @p186 :rule symm :premises (@p185))
0.90/1.11	(step @p187 :rule eq_resolve :premises (@p184 @p186))
0.90/1.11	(step @p188 :rule refl :args (@t121))
0.90/1.11	(step @p189 :rule refl :args (@t127))
0.90/1.11	(step @p190 :rule nary_cong :premises (@p189 @p188 @p187) :args (@t266))
0.90/1.11	(step @p191 :rule cong :premises (@p190) :args ((forall @t26 @t266)))
0.90/1.11	(step @p192 :rule aci_norm :args ((= (or (or @t127 @t121) @t3) @t266)))
0.90/1.11	(step @p193 :rule bool-and-de-morgan :args (@t126 @t120 true))
0.90/1.11	(step @p194 :rule nary_cong :premises (@p193 @p184) :args ((or (not @t267) @t3)))
0.90/1.11	(step @p195 :rule trans :premises (@p194 @p192))
0.90/1.11	(step @p196 :rule bool-impl-elim :args (@t267 @t3))
0.90/1.11	(step @p197 :rule trans :premises (@p196 @p195))
0.90/1.11	(step @p198 :rule cong :premises (@p197) :args ((forall @t26 (=> @t267 @t3))))
0.90/1.11	(step @p199 :rule trans :premises (@p198 @p191))
0.90/1.11	(step @p200 :rule refl :args (@t3))
0.90/1.11	(step @p201 :rule refl :args (@t106))
0.90/1.11	(step @p202 :rule refl :args (@t5))
0.90/1.11	(step @p203 :rule cong :premises (@p202 @p201) :args ((= @t5 @t106)))
0.90/1.11	(step @p204 :rule symm :premises (@p203))
0.90/1.11	(step @p205 :rule eq_resolve :premises (@p202 @p204))
0.90/1.11	(step @p206 :rule refl :args (@t107))
0.90/1.11	(step @p207 :rule refl :args (@t7))
0.90/1.11	(step @p208 :rule cong :premises (@p207 @p206) :args ((= @t7 @t107)))
0.90/1.11	(step @p209 :rule symm :premises (@p208))
0.90/1.11	(step @p210 :rule eq_resolve :premises (@p207 @p209))
0.90/1.11	(step @p211 :rule cong :premises (@p210) :args (@t268))
0.90/1.11	(step @p212 :rule refl :args (@t88))
0.90/1.11	(step @p213 :rule refl :args (@t9))
0.90/1.11	(step @p214 :rule cong :premises (@p213 @p212) :args ((= @t9 @t88)))
0.90/1.11	(step @p215 :rule symm :premises (@p214))
0.90/1.11	(step @p216 :rule eq_resolve :premises (@p213 @p215))
0.90/1.11	(step @p217 :rule cong :premises (@p216) :args (@t269))
0.90/1.11	(step @p218 :rule refl :args (@t90))
0.90/1.11	(step @p219 :rule refl :args (@t11))
0.90/1.11	(step @p220 :rule cong :premises (@p219 @p218) :args ((= @t11 @t90)))
0.90/1.11	(step @p221 :rule symm :premises (@p220))
0.90/1.11	(step @p222 :rule eq_resolve :premises (@p219 @p221))
0.90/1.11	(step @p223 :rule cong :premises (@p222) :args (@t270))
0.90/1.11	(step @p224 :rule nary_cong :premises (@p223 @p217) :args (@t271))
0.90/1.11	(step @p225 :rule nary_cong :premises (@p224 @p211 @p205) :args (@t272))
0.90/1.11	(step @p226 :rule cong :premises (@p225) :args ((forall @t14 @t272)))
0.90/1.11	(step @p227 :rule aci_norm :args ((= (or (or @t271 @t268) @t5) @t272)))
0.90/1.11	(step @p228 :rule refl :args (@t268))
0.90/1.11	(step @p229 :rule bool-or-de-morgan :args (@t11 @t9 false))
0.90/1.11	(step @p230 :rule nary_cong :premises (@p229 @p228) :args ((or (not @t12) @t268)))
0.90/1.11	(step @p231 :rule bool-and-de-morgan :args (@t12 @t7 true))
0.90/1.11	(step @p232 :rule trans :premises (@p231 @p230))
0.90/1.11	(step @p233 :rule nary_cong :premises (@p232 @p202) :args ((or (not @t13) @t5)))
0.90/1.11	(step @p234 :rule trans :premises (@p233 @p227))
0.90/1.11	(step @p235 :rule bool-impl-elim :args (@t13 @t5))
0.90/1.11	(step @p236 :rule trans :premises (@p235 @p234))
0.90/1.11	(step @p237 :rule cong :premises (@p236) :args (@t15))
0.90/1.11	(step @p238 :rule trans :premises (@p237 @p226))
0.90/1.11	(step @p239 :rule refl :args (@t105))
0.90/1.11	(step @p240 :rule refl :args (@t17))
0.90/1.11	(step @p241 :rule cong :premises (@p240 @p239) :args ((= @t17 @t105)))
0.90/1.11	(step @p242 :rule symm :premises (@p241))
0.90/1.11	(step @p243 :rule eq_resolve :premises (@p240 @p242))
0.90/1.11	(step @p244 :rule refl :args (@t94))
0.90/1.11	(step @p245 :rule refl :args (@t19))
0.90/1.11	(step @p246 :rule cong :premises (@p245 @p244) :args ((= @t19 @t94)))
0.90/1.11	(step @p247 :rule symm :premises (@p246))
0.90/1.11	(step @p248 :rule eq_resolve :premises (@p245 @p247))
0.90/1.11	(step @p249 :rule cong :premises (@p248) :args (@t273))
0.90/1.11	(step @p250 :rule refl :args (@t95))
0.90/1.11	(step @p251 :rule refl :args (@t20))
0.90/1.11	(step @p252 :rule cong :premises (@p251 @p250) :args ((= @t20 @t95)))
0.90/1.11	(step @p253 :rule symm :premises (@p252))
0.90/1.11	(step @p254 :rule eq_resolve :premises (@p251 @p253))
0.90/1.11	(step @p255 :rule cong :premises (@p254) :args (@t274))
0.90/1.11	(step @p256 :rule nary_cong :premises (@p255 @p249) :args (@t275))
0.90/1.11	(step @p257 :rule nary_cong :premises (@p256 @p243) :args (@t276))
0.90/1.11	(step @p258 :rule cong :premises (@p257) :args ((forall @t22 @t276)))
0.90/1.11	(step @p259 :rule bool-or-de-morgan :args (@t20 @t19 false))
0.90/1.11	(step @p260 :rule nary_cong :premises (@p259 @p240) :args ((or (not @t21) @t17)))
0.90/1.11	(step @p261 :rule bool-impl-elim :args (@t21 @t17))
0.90/1.11	(step @p262 :rule trans :premises (@p261 @p260))
0.90/1.11	(step @p263 :rule cong :premises (@p262) :args (@t23))
0.90/1.11	(step @p264 :rule trans :premises (@p263 @p258))
0.90/1.11	(step @p265 :rule nary_cong :premises (@p264 @p238) :args (@t24))
0.90/1.11	(step @p266 :rule cong :premises (@p265 @p200) :args (@t25))
0.90/1.11	(step @p267 :rule cong :premises (@p266) :args (@t27))
0.90/1.11	(step @p268 :rule trans :premises (@p267 @p199))
0.90/1.11	(step @p269 :rule aci_norm :args ((= @t278 @t247)))
0.90/1.11	(step @p270 :rule cong :premises (@p269) :args (@t279))
0.90/1.11	(step @p271 :rule quant-merge-prenex :args ((= (forall @t55 @t281) @t279)))
0.90/1.11	(step @p272 :rule alpha_equiv :args (@t282 (@list @t221) @t219))
0.90/1.11	(step @p273 :rule refl :args (@t246))
0.90/1.11	(step @p274 :rule nary_cong :premises (@p273 @p272) :args (@t283))
0.90/1.11	(step @p275 :rule quant-miniscope-or :args ((= @t281 @t283)))
0.90/1.11	(step @p276 :rule trans :premises (@p275 @p274))
0.90/1.11	(step @p277 :rule symm :premises (@p276))
0.90/1.11	(step @p278 :rule cong :premises (@p277) :args ((forall @t55 (or @t246 @t286))))
0.90/1.11	(step @p279 :rule trans :premises (@p278 @p271))
0.90/1.11	(step @p280 :rule trans :premises (@p279 @p270))
0.90/1.11	(step @p281 :rule refl :args (@t286))
0.90/1.11	(step @p282 :rule bool-or-de-morgan :args (@t245 @t242 false))
0.90/1.11	(step @p283 :rule nary_cong :premises (@p282 @p281) :args ((or (not @t287) @t286)))
0.90/1.11	(step @p284 :rule bool-impl-elim :args (@t287 @t286))
0.90/1.11	(step @p285 :rule trans :premises (@p284 @p283))
0.90/1.11	(step @p286 :rule cong :premises (@p285) :args ((forall @t55 (=> @t287 @t286))))
0.90/1.11	(step @p287 :rule trans :premises (@p286 @p280))
0.90/1.11	(step @p288 :rule refl :args (@t239))
0.90/1.11	(step @p289 :rule refl :args (@t29))
0.90/1.11	(step @p290 :rule cong :premises (@p289 @p288) :args ((= @t29 @t239)))
0.90/1.11	(step @p291 :rule symm :premises (@p290))
0.90/1.11	(step @p292 :rule eq_resolve :premises (@p289 @p291))
0.90/1.11	(step @p293 :rule refl :args (@t254))
0.90/1.11	(step @p294 :rule refl :args (@t285))
0.90/1.11	(step @p295 :rule nary_cong :premises (@p294 @p293 @p292) :args (@t288))
0.90/1.11	(step @p296 :rule cong :premises (@p295) :args ((forall @t26 @t288)))
0.90/1.11	(step @p297 :rule aci_norm :args ((= (or (or @t285 @t254) @t29) @t288)))
0.90/1.11	(step @p298 :rule bool-and-de-morgan :args (@t284 @t253 true))
0.90/1.11	(step @p299 :rule nary_cong :premises (@p298 @p289) :args ((or (not @t289) @t29)))
0.90/1.11	(step @p300 :rule trans :premises (@p299 @p297))
0.90/1.11	(step @p301 :rule bool-impl-elim :args (@t289 @t29))
0.90/1.11	(step @p302 :rule trans :premises (@p301 @p300))
0.90/1.11	(step @p303 :rule cong :premises (@p302) :args ((forall @t26 (=> @t289 @t29))))
0.90/1.11	(step @p304 :rule trans :premises (@p303 @p296))
0.90/1.11	(step @p305 :rule refl :args (@t29))
0.90/1.11	(step @p306 :rule refl :args (@t232))
0.90/1.11	(step @p307 :rule refl :args (@t31))
0.90/1.11	(step @p308 :rule cong :premises (@p307 @p306) :args ((= @t31 @t232)))
0.90/1.11	(step @p309 :rule symm :premises (@p308))
0.90/1.11	(step @p310 :rule eq_resolve :premises (@p307 @p309))
0.90/1.11	(step @p311 :rule cong :premises (@p310) :args (@t290))
0.90/1.11	(step @p312 :rule refl :args (@t234))
0.90/1.11	(step @p313 :rule refl :args (@t32))
0.90/1.11	(step @p314 :rule cong :premises (@p313 @p312) :args ((= @t32 @t234)))
0.90/1.11	(step @p315 :rule symm :premises (@p314))
0.90/1.11	(step @p316 :rule eq_resolve :premises (@p313 @p315))
0.90/1.11	(step @p317 :rule cong :premises (@p316) :args (@t291))
0.90/1.11	(step @p318 :rule nary_cong :premises (@p317 @p311) :args (@t292))
0.90/1.11	(step @p319 :rule nary_cong :premises (@p318 @p243) :args (@t293))
0.90/1.11	(step @p320 :rule cong :premises (@p319) :args ((forall @t22 @t293)))
0.90/1.11	(step @p321 :rule bool-or-de-morgan :args (@t32 @t31 false))
0.90/1.11	(step @p322 :rule nary_cong :premises (@p321 @p240) :args ((or (not @t33) @t17)))
0.90/1.11	(step @p323 :rule bool-impl-elim :args (@t33 @t17))
0.90/1.11	(step @p324 :rule trans :premises (@p323 @p322))
0.90/1.11	(step @p325 :rule cong :premises (@p324) :args (@t34))
0.90/1.11	(step @p326 :rule trans :premises (@p325 @p320))
0.90/1.11	(step @p327 :rule nary_cong :premises (@p217 @p223) :args (@t294))
0.90/1.11	(step @p328 :rule nary_cong :premises (@p211 @p327 @p205) :args (@t295))
0.90/1.11	(step @p329 :rule cong :premises (@p328) :args ((forall @t14 @t295)))
0.90/1.11	(step @p330 :rule aci_norm :args ((= (or (or @t268 @t294) @t5) @t295)))
0.90/1.11	(step @p331 :rule bool-or-de-morgan :args (@t9 @t11 false))
0.90/1.11	(step @p332 :rule nary_cong :premises (@p228 @p331) :args ((or @t268 @t296)))
0.90/1.11	(step @p333 :rule bool-and-de-morgan :args (@t7 @t35 true))
0.90/1.11	(step @p334 :rule trans :premises (@p333 @p332))
0.90/1.11	(step @p335 :rule nary_cong :premises (@p334 @p202) :args ((or (not @t36) @t5)))
0.90/1.11	(step @p336 :rule trans :premises (@p335 @p330))
0.90/1.11	(step @p337 :rule bool-impl-elim :args (@t36 @t5))
0.90/1.11	(step @p338 :rule trans :premises (@p337 @p336))
0.90/1.11	(step @p339 :rule cong :premises (@p338) :args (@t37))
0.90/1.11	(step @p340 :rule trans :premises (@p339 @p329))
0.90/1.11	(step @p341 :rule nary_cong :premises (@p340 @p326) :args (@t38))
0.90/1.11	(step @p342 :rule cong :premises (@p341 @p305) :args (@t39))
0.90/1.11	(step @p343 :rule cong :premises (@p342) :args (@t40))
0.90/1.11	(step @p344 :rule trans :premises (@p343 @p304))
0.90/1.11	(step @p345 :rule refl :args (@t241))
0.90/1.11	(step @p346 :rule refl :args (@t110))
0.90/1.11	(step @p347 :rule nary_cong :premises (@p346 @p345 @p292) :args (@t297))
0.90/1.11	(step @p348 :rule cong :premises (@p347) :args ((forall @t26 @t297)))
0.90/1.11	(step @p349 :rule aci_norm :args ((= (or (or @t110 @t241) @t29) @t297)))
0.90/1.11	(step @p350 :rule bool-and-de-morgan :args (@t109 @t240 true))
0.90/1.11	(step @p351 :rule nary_cong :premises (@p350 @p289) :args ((or (not @t298) @t29)))
0.90/1.11	(step @p352 :rule trans :premises (@p351 @p349))
0.90/1.11	(step @p353 :rule bool-impl-elim :args (@t298 @t29))
0.90/1.11	(step @p354 :rule trans :premises (@p353 @p352))
0.90/1.11	(step @p355 :rule cong :premises (@p354) :args ((forall @t26 (=> @t298 @t29))))
0.90/1.11	(step @p356 :rule trans :premises (@p355 @p348))
0.90/1.11	(step @p357 :rule nary_cong :premises (@p311 @p243) :args (@t299))
0.90/1.11	(step @p358 :rule cong :premises (@p357) :args ((forall @t22 @t299)))
0.90/1.11	(step @p359 :rule bool-impl-elim :args (@t31 @t17))
0.90/1.11	(step @p360 :rule cong :premises (@p359) :args (@t41))
0.90/1.11	(step @p361 :rule trans :premises (@p360 @p358))
0.90/1.11	(step @p362 :rule nary_cong :premises (@p223 @p211 @p205) :args (@t300))
0.90/1.11	(step @p363 :rule cong :premises (@p362) :args ((forall @t14 @t300)))
0.90/1.11	(step @p364 :rule aci_norm :args ((= (or (or @t270 @t268) @t5) @t300)))
0.90/1.11	(step @p365 :rule bool-and-de-morgan :args (@t11 @t7 true))
0.90/1.11	(step @p366 :rule nary_cong :premises (@p365 @p202) :args ((or (not @t42) @t5)))
0.90/1.11	(step @p367 :rule trans :premises (@p366 @p364))
0.90/1.11	(step @p368 :rule bool-impl-elim :args (@t42 @t5))
0.90/1.11	(step @p369 :rule trans :premises (@p368 @p367))
0.90/1.11	(step @p370 :rule cong :premises (@p369) :args (@t43))
0.90/1.11	(step @p371 :rule trans :premises (@p370 @p363))
0.90/1.11	(step @p372 :rule nary_cong :premises (@p371 @p361) :args (@t44))
0.90/1.11	(step @p373 :rule cong :premises (@p372 @p305) :args (@t45))
0.90/1.11	(step @p374 :rule cong :premises (@p373) :args (@t46))
0.90/1.11	(step @p375 :rule trans :premises (@p374 @p356))
0.90/1.11	(step @p376 :rule refl :args (@t244))
0.90/1.11	(step @p377 :rule refl :args (@t112))
0.90/1.11	(step @p378 :rule nary_cong :premises (@p377 @p376 @p292) :args (@t301))
0.90/1.11	(step @p379 :rule cong :premises (@p378) :args ((forall @t26 @t301)))
0.90/1.11	(step @p380 :rule aci_norm :args ((= (or (or @t112 @t244) @t29) @t301)))
0.90/1.11	(step @p381 :rule bool-and-de-morgan :args (@t111 @t243 true))
0.90/1.11	(step @p382 :rule nary_cong :premises (@p381 @p289) :args ((or (not @t302) @t29)))
0.90/1.11	(step @p383 :rule trans :premises (@p382 @p380))
0.90/1.11	(step @p384 :rule bool-impl-elim :args (@t302 @t29))
0.90/1.11	(step @p385 :rule trans :premises (@p384 @p383))
0.90/1.11	(step @p386 :rule cong :premises (@p385) :args ((forall @t26 (=> @t302 @t29))))
0.90/1.11	(step @p387 :rule trans :premises (@p386 @p379))
0.90/1.11	(step @p388 :rule nary_cong :premises (@p317 @p243) :args (@t303))
0.90/1.11	(step @p389 :rule cong :premises (@p388) :args ((forall @t22 @t303)))
0.90/1.11	(step @p390 :rule bool-impl-elim :args (@t32 @t17))
0.90/1.11	(step @p391 :rule cong :premises (@p390) :args (@t47))
0.90/1.11	(step @p392 :rule trans :premises (@p391 @p389))
0.90/1.11	(step @p393 :rule nary_cong :premises (@p217 @p211 @p205) :args (@t304))
0.90/1.11	(step @p394 :rule cong :premises (@p393) :args ((forall @t14 @t304)))
0.90/1.11	(step @p395 :rule aci_norm :args ((= (or (or @t269 @t268) @t5) @t304)))
0.90/1.11	(step @p396 :rule bool-and-de-morgan :args (@t9 @t7 true))
0.90/1.11	(step @p397 :rule nary_cong :premises (@p396 @p202) :args ((or (not @t48) @t5)))
0.90/1.11	(step @p398 :rule trans :premises (@p397 @p395))
0.90/1.11	(step @p399 :rule bool-impl-elim :args (@t48 @t5))
0.90/1.11	(step @p400 :rule trans :premises (@p399 @p398))
0.90/1.11	(step @p401 :rule cong :premises (@p400) :args (@t49))
0.90/1.11	(step @p402 :rule trans :premises (@p401 @p394))
0.90/1.11	(step @p403 :rule nary_cong :premises (@p402 @p392) :args (@t50))
0.90/1.11	(step @p404 :rule cong :premises (@p403 @p305) :args (@t51))
0.90/1.11	(step @p405 :rule cong :premises (@p404) :args (@t52))
0.90/1.11	(step @p406 :rule trans :premises (@p405 @p387))
0.90/1.11	(step @p407 :rule nary_cong :premises (@p406 @p375) :args (@t53))
0.90/1.11	(step @p408 :rule cong :premises (@p407 @p344) :args (@t54))
0.90/1.11	(step @p409 :rule cong :premises (@p408) :args (@t56))
0.90/1.11	(step @p410 :rule trans :premises (@p409 @p287))
0.90/1.11	(step @p411 :rule aci_norm :args ((= @t306 @t264)))
0.90/1.11	(step @p412 :rule cong :premises (@p411) :args (@t307))
0.90/1.11	(step @p413 :rule quant-merge-prenex :args ((= (forall @t78 @t309) @t307)))
0.90/1.11	(step @p414 :rule alpha_equiv :args (@t310 (@list @t225) @t219))
0.90/1.11	(step @p415 :rule refl :args (@t256))
0.90/1.11	(step @p416 :rule refl :args (@t263))
0.90/1.11	(step @p417 :rule nary_cong :premises (@p416 @p415 @p414) :args (@t311))
0.90/1.11	(step @p418 :rule quant-miniscope-or :args ((= @t309 @t311)))
0.90/1.11	(step @p419 :rule trans :premises (@p418 @p417))
0.90/1.11	(step @p420 :rule symm :premises (@p419))
0.90/1.11	(step @p421 :rule cong :premises (@p420) :args ((forall @t78 @t315)))
0.90/1.11	(step @p422 :rule trans :premises (@p421 @p413))
0.90/1.11	(step @p423 :rule trans :premises (@p422 @p412))
0.90/1.11	(step @p424 :rule aci_norm :args ((= (or (or @t263 @t256) @t314) @t315)))
0.90/1.11	(step @p425 :rule refl :args (@t314))
0.90/1.11	(step @p426 :rule bool-and-de-morgan :args (@t262 @t255 true))
0.90/1.11	(step @p427 :rule nary_cong :premises (@p426 @p425) :args ((or (not @t316) @t314)))
0.90/1.11	(step @p428 :rule trans :premises (@p427 @p424))
0.90/1.11	(step @p429 :rule bool-impl-elim :args (@t316 @t314))
0.90/1.11	(step @p430 :rule trans :premises (@p429 @p428))
0.90/1.11	(step @p431 :rule cong :premises (@p430) :args ((forall @t78 (=> @t316 @t314))))
0.90/1.11	(step @p432 :rule trans :premises (@p431 @p423))
0.90/1.11	(step @p433 :rule refl :args (@t257))
0.90/1.11	(step @p434 :rule refl :args (@t58))
0.90/1.11	(step @p435 :rule cong :premises (@p434 @p433) :args ((= @t58 @t257)))
0.90/1.11	(step @p436 :rule symm :premises (@p435))
0.90/1.11	(step @p437 :rule eq_resolve :premises (@p434 @p436))
0.90/1.11	(step @p438 :rule refl :args (@t313))
0.90/1.11	(step @p439 :rule nary_cong :premises (@p294 @p438 @p437) :args (@t317))
0.90/1.11	(step @p440 :rule cong :premises (@p439) :args ((forall @t26 @t317)))
0.90/1.11	(step @p441 :rule aci_norm :args ((= (or (or @t285 @t313) @t58) @t317)))
0.90/1.11	(step @p442 :rule bool-and-de-morgan :args (@t284 @t312 true))
0.90/1.11	(step @p443 :rule nary_cong :premises (@p442 @p434) :args ((or (not @t318) @t58)))
0.90/1.11	(step @p444 :rule trans :premises (@p443 @p441))
0.90/1.11	(step @p445 :rule bool-impl-elim :args (@t318 @t58))
0.90/1.11	(step @p446 :rule trans :premises (@p445 @p444))
0.90/1.11	(step @p447 :rule cong :premises (@p446) :args ((forall @t26 (=> @t318 @t58))))
0.90/1.11	(step @p448 :rule trans :premises (@p447 @p440))
0.90/1.11	(step @p449 :rule refl :args (@t58))
0.90/1.11	(step @p450 :rule nary_cong :premises (@p311 @p317) :args (@t319))
0.90/1.11	(step @p451 :rule nary_cong :premises (@p450 @p243) :args (@t320))
0.90/1.11	(step @p452 :rule cong :premises (@p451) :args ((forall @t22 @t320)))
0.90/1.11	(step @p453 :rule bool-or-de-morgan :args (@t31 @t32 false))
0.90/1.11	(step @p454 :rule nary_cong :premises (@p453 @p240) :args ((or (not @t59) @t17)))
0.90/1.11	(step @p455 :rule bool-impl-elim :args (@t59 @t17))
0.90/1.11	(step @p456 :rule trans :premises (@p455 @p454))
0.90/1.11	(step @p457 :rule cong :premises (@p456) :args (@t60))
0.90/1.11	(step @p458 :rule trans :premises (@p457 @p452))
0.90/1.11	(step @p459 :rule nary_cong :premises (@p340 @p458) :args (@t61))
0.90/1.11	(step @p460 :rule cong :premises (@p459 @p449) :args (@t62))
0.90/1.11	(step @p461 :rule cong :premises (@p460) :args (@t63))
0.90/1.11	(step @p462 :rule trans :premises (@p461 @p448))
0.90/1.11	(step @p463 :rule nary_cong :premises (@p188 @p293 @p292) :args (@t321))
0.90/1.11	(step @p464 :rule cong :premises (@p463) :args ((forall @t26 @t321)))
0.90/1.11	(step @p465 :rule aci_norm :args ((= (or (or @t121 @t254) @t29) @t321)))
0.90/1.11	(step @p466 :rule bool-and-de-morgan :args (@t120 @t253 true))
0.90/1.11	(step @p467 :rule nary_cong :premises (@p466 @p289) :args ((or (not @t322) @t29)))
0.90/1.11	(step @p468 :rule trans :premises (@p467 @p465))
0.90/1.11	(step @p469 :rule bool-impl-elim :args (@t322 @t29))
0.90/1.11	(step @p470 :rule trans :premises (@p469 @p468))
0.90/1.11	(step @p471 :rule cong :premises (@p470) :args ((forall @t26 (=> @t322 @t29))))
0.90/1.11	(step @p472 :rule trans :premises (@p471 @p464))
0.90/1.11	(step @p473 :rule nary_cong :premises (@p238 @p326) :args (@t64))
0.90/1.11	(step @p474 :rule cong :premises (@p473 @p305) :args (@t65))
0.90/1.11	(step @p475 :rule cong :premises (@p474) :args (@t66))
0.90/1.11	(step @p476 :rule trans :premises (@p475 @p472))
0.90/1.11	(step @p477 :rule refl :args (@t123))
0.90/1.11	(step @p478 :rule refl :args (@t261))
0.90/1.11	(step @p479 :rule nary_cong :premises (@p478 @p477 @p437) :args (@t323))
0.90/1.11	(step @p480 :rule cong :premises (@p479) :args ((forall @t26 @t323)))
0.90/1.11	(step @p481 :rule aci_norm :args ((= (or (or @t261 @t123) @t58) @t323)))
0.90/1.11	(step @p482 :rule bool-and-de-morgan :args (@t260 @t122 true))
0.90/1.11	(step @p483 :rule nary_cong :premises (@p482 @p434) :args ((or (not @t324) @t58)))
0.90/1.11	(step @p484 :rule trans :premises (@p483 @p481))
0.90/1.11	(step @p485 :rule bool-impl-elim :args (@t324 @t58))
0.90/1.11	(step @p486 :rule trans :premises (@p485 @p484))
0.90/1.11	(step @p487 :rule cong :premises (@p486) :args ((forall @t26 (=> @t324 @t58))))
0.90/1.11	(step @p488 :rule trans :premises (@p487 @p480))
0.90/1.11	(step @p489 :rule nary_cong :premises (@p327 @p211 @p205) :args (@t325))
0.90/1.11	(step @p490 :rule cong :premises (@p489) :args ((forall @t14 @t325)))
0.90/1.11	(step @p491 :rule aci_norm :args ((= (or (or @t294 @t268) @t5) @t325)))
0.90/1.11	(step @p492 :rule nary_cong :premises (@p331 @p228) :args ((or @t296 @t268)))
0.90/1.11	(step @p493 :rule bool-and-de-morgan :args (@t35 @t7 true))
0.90/1.11	(step @p494 :rule trans :premises (@p493 @p492))
0.90/1.11	(step @p495 :rule nary_cong :premises (@p494 @p202) :args ((or (not @t67) @t5)))
0.90/1.11	(step @p496 :rule trans :premises (@p495 @p491))
0.90/1.11	(step @p497 :rule bool-impl-elim :args (@t67 @t5))
0.90/1.11	(step @p498 :rule trans :premises (@p497 @p496))
0.90/1.11	(step @p499 :rule cong :premises (@p498) :args (@t68))
0.90/1.11	(step @p500 :rule trans :premises (@p499 @p490))
0.90/1.11	(step @p501 :rule refl :args (@t258))
0.90/1.11	(step @p502 :rule refl :args (@t69))
0.90/1.11	(step @p503 :rule cong :premises (@p502 @p501) :args ((= @t69 @t258)))
0.90/1.11	(step @p504 :rule symm :premises (@p503))
0.90/1.11	(step @p505 :rule eq_resolve :premises (@p502 @p504))
0.90/1.11	(step @p506 :rule cong :premises (@p505) :args (@t326))
0.90/1.11	(step @p507 :rule refl :args (@t259))
0.90/1.11	(step @p508 :rule refl :args (@t70))
0.90/1.11	(step @p509 :rule cong :premises (@p508 @p507) :args ((= @t70 @t259)))
0.90/1.11	(step @p510 :rule symm :premises (@p509))
0.90/1.11	(step @p511 :rule eq_resolve :premises (@p508 @p510))
0.90/1.11	(step @p512 :rule cong :premises (@p511) :args (@t327))
0.90/1.11	(step @p513 :rule nary_cong :premises (@p512 @p506) :args (@t328))
0.90/1.11	(step @p514 :rule nary_cong :premises (@p513 @p243) :args (@t329))
0.90/1.11	(step @p515 :rule cong :premises (@p514) :args ((forall @t22 @t329)))
0.90/1.11	(step @p516 :rule bool-or-de-morgan :args (@t70 @t69 false))
0.90/1.11	(step @p517 :rule nary_cong :premises (@p516 @p240) :args ((or (not @t71) @t17)))
0.90/1.11	(step @p518 :rule bool-impl-elim :args (@t71 @t17))
0.90/1.11	(step @p519 :rule trans :premises (@p518 @p517))
0.90/1.11	(step @p520 :rule cong :premises (@p519) :args (@t72))
0.90/1.11	(step @p521 :rule trans :premises (@p520 @p515))
0.90/1.11	(step @p522 :rule nary_cong :premises (@p521 @p500) :args (@t73))
0.90/1.11	(step @p523 :rule cong :premises (@p522 @p449) :args (@t74))
0.90/1.11	(step @p524 :rule cong :premises (@p523) :args (@t75))
0.90/1.11	(step @p525 :rule trans :premises (@p524 @p488))
0.90/1.11	(step @p526 :rule nary_cong :premises (@p525 @p476) :args (@t76))
0.90/1.11	(step @p527 :rule cong :premises (@p526 @p462) :args (@t77))
0.90/1.11	(step @p528 :rule cong :premises (@p527) :args (@t79))
0.90/1.11	(step @p529 :rule trans :premises (@p528 @p432))
0.90/1.11	(step @p530 :rule cong :premises (@p268) :args (@t80))
0.90/1.11	(step @p531 :rule nary_cong :premises (@p530 @p529 @p410) :args (@t81))
0.90/1.11	(step @p532 :rule nary_cong :premises (@p531 @p268) :args (@t82))
0.90/1.11	(step @p533 :rule cong :premises (@p532) :args (@t84))
0.90/1.11	(step @p534 :rule trans :premises (@p533 @p182))
0.90/1.11	(step @p535 :rule cong :premises (@p534) :args (@t85))
0.90/1.11	(step @p536 :rule eq_resolve :premises (@p1 @p535))
0.90/1.11	(step @p537 :rule skolemize :premises (@p536))
0.90/1.11	(step @p538 :rule cnf_or_neg :args (@t367 0))
0.90/1.11	(step @p539 :rule chain_resolution :premises (@p538 @p537) :args (@t368 @t369))
0.90/1.11	(step @p540 :rule cnf_or_neg :args (@t367 3))
0.90/1.11	(step @p541 :rule chain_resolution :premises (@p540 @p537) :args (@t368 @t369))
0.90/1.11	(step @p542 :rule bool-double-not-elim :args (@t334))
0.90/1.11	(step @p543 :rule refl :args (@t367))
0.90/1.11	(step @p544 :rule nary_cong :premises (@p543 @p542) :args ((or @t367 (not @t335))))
0.90/1.11	(step @p545 :rule cnf_or_neg :args (@t367 2))
0.90/1.11	(step @p546 :rule eq_resolve :premises (@p545 @p544))
0.90/1.11	(step @p547 :rule reordering :premises (@p546) :args ((or @t334 @t367)))
0.90/1.11	(step @p548 :rule chain_resolution :premises (@p547 @p537) :args (@t368 @t369))
0.90/1.11	(step @p549 :rule bool-double-not-elim :args (@t338))
0.90/1.11	(step @p550 :rule nary_cong :premises (@p543 @p549) :args ((or @t367 (not @t339))))
0.90/1.11	(step @p551 :rule cnf_or_neg :args (@t367 1))
0.90/1.11	(step @p552 :rule eq_resolve :premises (@p551 @p550))
0.90/1.11	(step @p553 :rule reordering :premises (@p552) :args ((or @t338 @t367)))
0.90/1.11	(step @p554 :rule chain_resolution :premises (@p553 @p537) :args (@t368 @t369))
0.90/1.11	(step @p555 :rule cnf_or_pos :args (@t370))
0.90/1.11	(step @p556 :rule reordering :premises (@p555) :args ((or @t339 @t335 @t332 (not @t370))))
0.90/1.11	(step @p557 :rule chain_resolution :premises (@p556 @p554 @p548 @p541) :args ((@list false false true) (@list @t338 @t334 @t332)))
0.90/1.11	(assume-push @p697 @t364)
0.90/1.11	(step @p559 :rule instantiate :premises (@p697) :args ((@list @t331)))
0.90/1.11	(step-pop @p697 :rule scope :premises (@p559))
0.90/1.11	(step @p560 :rule process_scope :premises (@p697) :args (@t370))
0.90/1.11	(step @p562 :rule implies_elim :premises (@p560))
0.90/1.11	(step @p563 :rule chain_resolution :premises (@p562 @p557) :args (@t368 (@list @t370)))
0.90/1.11	(step @p564 :rule refl :args (@t371))
0.90/1.11	(step @p565 :rule refl :args (@t372))
0.90/1.11	(step @p566 :rule bool-double-not-elim :args (@t364))
0.90/1.11	(step @p567 :rule refl :args (@t366))
0.90/1.11	(step @p568 :rule nary_cong :premises (@p567 @p566 @p565 @p564) :args ((or @t366 (not @t365) @t372 @t371)))
0.90/1.11	(step @p569 :rule cnf_and_neg :args (@t366))
0.90/1.11	(step @p570 :rule eq_resolve :premises (@p569 @p568))
0.90/1.11	(step @p571 :rule reordering :premises (@p570) :args ((or @t364 @t366 @t372 @t371)))
0.90/1.11	(step @p572 :rule chain_resolution :premises (@p571 @p563 @p539 @p161) :args (@t193 (@list @t364 @t366 @t158)))
0.90/1.11	(step @p573 :rule bool-double-not-elim :args (@t353))
0.90/1.11	(step @p574 :rule refl :args (@t363))
0.90/1.11	(step @p575 :rule nary_cong :premises (@p574 @p573) :args ((or @t363 (not @t354))))
0.90/1.11	(step @p576 :rule cnf_or_neg :args (@t363 2))
0.90/1.11	(step @p577 :rule eq_resolve :premises (@p576 @p575))
0.90/1.11	(step @p578 :rule reordering :premises (@p577) :args ((or @t353 @t363)))
0.90/1.11	(step @p579 :rule chain_resolution :premises (@p578 @p572) :args (@t368 @t373))
0.90/1.11	(assume-push @p699 @t353)
0.90/1.11	(step @p581 :rule instantiate :premises (@p699) :args ((@list @t355 @t375)))
0.90/1.11	(step-pop @p699 :rule scope :premises (@p581))
0.90/1.11	(step @p582 :rule process_scope :premises (@p699) :args (@t384))
0.90/1.11	(step @p584 :rule implies_elim :premises (@p582))
0.90/1.11	(step @p585 :rule chain_resolution :premises (@p584 @p579) :args (@t385 @t386))
0.90/1.11	(step @p586 :rule bool-double-not-elim :args (@t358))
0.90/1.11	(step @p587 :rule nary_cong :premises (@p574 @p586) :args ((or @t363 (not @t359))))
0.90/1.11	(step @p588 :rule cnf_or_neg :args (@t363 1))
0.90/1.11	(step @p589 :rule eq_resolve :premises (@p588 @p587))
0.90/1.11	(step @p590 :rule reordering :premises (@p589) :args ((or @t358 @t363)))
0.90/1.11	(step @p591 :rule chain_resolution :premises (@p590 @p572) :args (@t368 @t373))
0.90/1.11	(assume-push @p701 @t358)
0.90/1.11	(step @p593 :rule instantiate :premises (@p701) :args (@t387))
0.90/1.11	(step-pop @p701 :rule scope :premises (@p593))
0.90/1.11	(step @p594 :rule process_scope :premises (@p701) :args (@t393))
0.90/1.11	(step @p596 :rule implies_elim :premises (@p594))
0.90/1.11	(step @p597 :rule chain_resolution :premises (@p596 @p591) :args (@t385 (@list @t358)))
0.90/1.11	(step @p598 :rule bool-double-not-elim :args (@t348))
0.90/1.11	(step @p599 :rule nary_cong :premises (@p574 @p598) :args ((or @t363 (not @t349))))
0.90/1.11	(step @p600 :rule cnf_or_neg :args (@t363 3))
0.90/1.11	(step @p601 :rule eq_resolve :premises (@p600 @p599))
0.90/1.11	(step @p602 :rule reordering :premises (@p601) :args ((or @t348 @t363)))
0.90/1.11	(step @p603 :rule chain_resolution :premises (@p602 @p572) :args (@t368 @t373))
0.90/1.11	(step @p604 :rule refl :args (@t343))
0.90/1.11	(step @p605 :rule aci_norm :args ((= @t356 @t347)))
0.90/1.11	(step @p606 :rule nary_cong :premises (@p605 @p604) :args (@t388))
0.90/1.11	(step @p607 :rule cong :premises (@p606) :args (@t389))
0.90/1.11	(step @p608 :rule true_intro :premises (@p607))
0.90/1.11	(step @p609 :rule eq-symm :args (@t348 @t389))
0.90/1.11	(step @p610 :rule trans :premises (@p609 @p608))
0.90/1.11	(step @p611 :rule true_elim :premises (@p610))
0.90/1.11	(step @p612 :rule equiv_elim1 :premises (@p611))
0.90/1.11	(step @p613 :rule chain_resolution :premises (@p612 @p603) :args (@t385 (@list @t348)))
0.90/1.11	; WARNING: add trust step for TRUST
0.90/1.11	; trust TRUST EXT_THEORY_REWRITE
0.90/1.11	(step @p614 :rule trust :premises () :args ((= (= @t353 @t391) true)))
0.90/1.11	(step @p615 :rule true_elim :premises (@p614))
0.90/1.11	(step @p616 :rule equiv_elim1 :premises (@p615))
0.90/1.11	(step @p617 :rule chain_resolution :premises (@p616 @p579) :args (@t385 @t386))
0.90/1.11	(step @p618 :rule cnf_or_pos :args (@t393))
0.90/1.11	(step @p619 :rule reordering :premises (@p618) :args ((or @t382 @t392 @t390 (not @t393))))
0.90/1.11	(step @p620 :rule chain_resolution :premises (@p619 @p617 @p613 @p597) :args ((@list false false false) (@list @t391 @t389 @t393)))
0.90/1.11	(step @p621 :rule bool-double-not-elim :args (@t361))
0.90/1.11	(step @p622 :rule nary_cong :premises (@p574 @p621) :args ((or @t363 (not @t362))))
0.90/1.11	(step @p623 :rule cnf_or_neg :args (@t363 0))
0.90/1.11	(step @p624 :rule eq_resolve :premises (@p623 @p622))
0.90/1.11	(step @p625 :rule reordering :premises (@p624) :args ((or @t361 @t363)))
0.90/1.11	(step @p626 :rule chain_resolution :premises (@p625 @p572) :args (@t368 @t373))
0.90/1.11	(assume-push @p703 @t361)
0.90/1.11	(step @p628 :rule instantiate :premises (@p703) :args (@t387))
0.90/1.11	(step-pop @p703 :rule scope :premises (@p628))
0.90/1.11	(step @p629 :rule process_scope :premises (@p703) :args (@t398))
0.90/1.11	(step @p631 :rule implies_elim :premises (@p629))
0.90/1.11	(step @p632 :rule chain_resolution :premises (@p631 @p626) :args (@t385 (@list @t361)))
0.90/1.11	(step @p633 :rule aci_norm :args ((= @t394 @t352)))
0.90/1.11	(step @p634 :rule cong :premises (@p633) :args (@t395))
0.90/1.11	(step @p635 :rule true_intro :premises (@p634))
0.90/1.11	(step @p636 :rule eq-symm :args (@t353 @t395))
0.90/1.11	(step @p637 :rule trans :premises (@p636 @p635))
0.90/1.11	(step @p638 :rule true_elim :premises (@p637))
0.90/1.11	(step @p639 :rule equiv_elim1 :premises (@p638))
0.90/1.11	(step @p640 :rule chain_resolution :premises (@p639 @p579) :args (@t385 @t386))
0.90/1.11	(step @p641 :rule cnf_or_neg :args (@t363 4))
0.90/1.11	(step @p642 :rule chain_resolution :premises (@p641 @p572) :args (@t368 @t373))
0.90/1.11	(step @p643 :rule cnf_or_pos :args (@t398))
0.90/1.11	(step @p644 :rule reordering :premises (@p643) :args ((or @t342 @t397 @t396 (not @t398))))
0.90/1.11	(step @p645 :rule chain_resolution :premises (@p644 @p642 @p640 @p632) :args (@t213 (@list @t342 @t395 @t398)))
0.90/1.11	(step @p646 :rule refl :args (@t401))
0.90/1.11	(step @p647 :rule bool-double-not-elim :args (@t374))
0.90/1.11	(step @p648 :rule nary_cong :premises (@p647 @p646) :args ((or (not @t397) @t401)))
0.90/1.11	(assume-push @p705 @t397)
0.90/1.11	(step @p650 :rule skolemize :premises (@p705))
0.90/1.11	(step-pop @p705 :rule scope :premises (@p650))
0.90/1.11	(step @p651 :rule process_scope :premises (@p705) :args (@t401))
0.90/1.11	(step @p653 :rule implies_elim :premises (@p651))
0.90/1.11	(step @p654 :rule eq_resolve :premises (@p653 @p648))
0.90/1.11	(step @p655 :rule chain_resolution :premises (@p654 @p645) :args (@t368 (@list @t374)))
0.90/1.11	(step @p656 :rule cnf_or_neg :args (@t400 0))
0.90/1.11	(step @p657 :rule cnf_or_neg :args (@t400 1))
0.90/1.11	(step @p658 :rule cnf_or_pos :args (@t384))
0.90/1.11	(step @p659 :rule reordering :premises (@p658) :args ((or @t376 @t383 @t381 @t402)))
0.90/1.11	(step @p660 :rule cnf_and_pos :args (@t381 0))
0.90/1.11	(step @p661 :rule reordering :premises (@p660) :args ((or @t380 @t403)))
0.90/1.11	(step @p662 :rule cnf_and_pos :args (@t381 1))
0.90/1.11	(step @p663 :rule reordering :premises (@p662) :args ((or @t378 @t403)))
0.90/1.11	(step @p664 :rule bool-double-not-elim :args (@t379))
0.90/1.11	(step @p665 :rule bool-double-not-elim :args (@t377))
0.90/1.11	(step @p666 :rule refl :args (@t399))
0.90/1.11	(step @p667 :rule nary_cong :premises (@p666 @p665 @p664) :args ((or @t399 (not @t378) (not @t380))))
0.90/1.11	(step @p668 :rule cnf_and_neg :args (@t399))
0.90/1.11	(step @p669 :rule eq_resolve :premises (@p668 @p667))
0.90/1.11	(step @p670 :rule reordering :premises (@p669) :args ((or @t377 @t379 @t399)))
0.90/1.11	(step @p671 :rule chain_resolution :premises (@p670 @p663 @p661) :args ((@list true true) (@list @t377 @t379)))
0.90/1.11	(step @p672 :rule factoring :premises (@p671))
0.90/1.11	(step @p673 :rule chain_resolution :premises (@p672 @p659 @p657 @p656) :args ((@list false true true) (@list @t381 @t376 @t399)))
0.90/1.11	(step @p674 :rule factoring :premises (@p673))
0.90/1.11	(step @p675 :rule reordering :premises (@p674) :args ((or @t400 @t383 @t402)))
0.90/1.11	(step @p676 false :rule chain_resolution :premises (@p675 @p655 @p620 @p585) :args (@t213 (@list @t400 @t382 @t384)))
0.90/1.11	)
0.90/1.11	% SZS output end Proof
0.90/1.11	% cvc5 exiting
0.90/1.11	EOF