cvc5---1.3.4.THM-Prf.s

%------------------------------------------------------------------------------
% File     : cvc5---1.3.4
% Problem  : SEU301+1 : TPTP v9.2.1. Released v3.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM

% Computer : n006.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 08:51:18 AM UTC 2026

% Result   : Theorem 1.51s 1.76s
% Output   : Proof 1.51s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : SEU301+1 : TPTP v9.2.1. Released v3.3.0.
% 0.12/0.14  % Command  : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.17/0.35  % Computer : n006.cluster.edu
% 0.17/0.35  % Model    : x86_64 x86_64
% 0.17/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.35  % Memory   : 8042.1875MB
% 0.17/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.17/0.35  % CPULimit : 300
% 0.17/0.35  % WCLimit  : 300
% 0.17/0.35  % DateTime : Tue Jun  2 16:54:34 EDT 2026
% 0.17/0.35  % CPUTime  : 
% 0.27/0.52  %----Proving TF0_NAR, FOF, or CNF
% 1.51/1.76  --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15...
% 1.51/1.76  % SZS status Theorem
% 1.51/1.76  % SZS output start Proof
% 1.51/1.76  (
% 1.51/1.76  (declare-sort $$unsorted 0)
% 1.51/1.76  (declare-const tptp.relation (-> $$unsorted Bool))
% 1.51/1.76  (declare-const tptp.function (-> $$unsorted Bool))
% 1.51/1.76  (declare-const tptp.one_to_one (-> $$unsorted Bool))
% 1.51/1.76  (declare-const tptp.epsilon_transitive (-> $$unsorted Bool))
% 1.51/1.76  (declare-const tptp.relation_empty_yielding (-> $$unsorted Bool))
% 1.51/1.76  (declare-const tptp.subset (-> $$unsorted $$unsorted Bool))
% 1.51/1.76  (declare-const tptp.empty (-> $$unsorted Bool))
% 1.51/1.76  (declare-const tptp.in (-> $$unsorted $$unsorted Bool))
% 1.51/1.76  (declare-const tptp.set_union2 (-> $$unsorted $$unsorted $$unsorted))
% 1.51/1.76  (declare-const tptp.empty_set $$unsorted)
% 1.51/1.76  (declare-const tptp.singleton (-> $$unsorted $$unsorted))
% 1.51/1.76  (declare-const tptp.powerset (-> $$unsorted $$unsorted))
% 1.51/1.76  (declare-const tptp.epsilon_connected (-> $$unsorted Bool))
% 1.51/1.76  (declare-const tptp.element (-> $$unsorted $$unsorted Bool))
% 1.51/1.76  (declare-const tptp.natural (-> $$unsorted Bool))
% 1.51/1.77  (declare-const tptp.omega $$unsorted)
% 1.51/1.77  (declare-const tptp.ordinal (-> $$unsorted Bool))
% 1.51/1.77  (declare-const tptp.being_limit_ordinal (-> $$unsorted Bool))
% 1.51/1.77  (declare-const tptp.succ (-> $$unsorted $$unsorted))
% 1.51/1.77  (declare-const tptp.finite (-> $$unsorted Bool))
% 1.51/1.77  (define @t1 () (@var "S" $$unsorted))
% 1.51/1.77  (define @t2 () (@var "T" $$unsorted))
% 1.51/1.77  (define @t3 () (tptp.subset @t1 @t2))
% 1.51/1.77  (define @t4 () (@var "R" $$unsorted))
% 1.51/1.77  (define @t5 () (tptp.in @t2 @t4))
% 1.51/1.77  (define @t6 () (and @t5 @t3))
% 1.51/1.77  (define @t7 () (=> @t6 (= @t2 @t1)))
% 1.51/1.77  (define @t8 () (@list @t2))
% 1.51/1.77  (define @t9 () (forall @t8 @t7))
% 1.51/1.77  (define @t10 () (tptp.in @t1 @t4))
% 1.51/1.77  (define @t11 () (and @t10 @t9))
% 1.51/1.77  (define @t12 () (not @t11))
% 1.51/1.77  (define @t13 () (@list @t1))
% 1.51/1.77  (define @t14 () (forall @t13 @t12))
% 1.51/1.77  (define @t15 () (not (= @t4 tptp.empty_set)))
% 1.51/1.77  (define @t16 () (and @t15 @t14))
% 1.51/1.77  (define @t17 () (not @t16))
% 1.51/1.77  (define @t18 () (@var "D" $$unsorted))
% 1.51/1.77  (define @t19 () (tptp.powerset (tptp.powerset @t18)))
% 1.51/1.77  (define @t20 () (tptp.element @t4 @t19))
% 1.51/1.77  (define @t21 () (=> @t20 @t17))
% 1.51/1.77  (define @t22 () (@list @t4))
% 1.51/1.77  (define @t23 () (forall @t22 @t21))
% 1.51/1.77  (define @t24 () (tptp.in @t18 tptp.omega))
% 1.51/1.77  (define @t25 () (=> @t24 @t23))
% 1.51/1.77  (define @t26 () (tptp.ordinal @t18))
% 1.51/1.77  (define @t27 () (=> @t26 @t25))
% 1.51/1.77  (define @t28 () (@list @t18))
% 1.51/1.77  (define @t29 () (forall @t28 @t27))
% 1.51/1.77  (define @t30 () (@var "P" $$unsorted))
% 1.51/1.77  (define @t31 () (@var "Q" $$unsorted))
% 1.51/1.77  (define @t32 () (tptp.subset @t30 @t31))
% 1.51/1.77  (define @t33 () (@var "O" $$unsorted))
% 1.51/1.77  (define @t34 () (tptp.in @t31 @t33))
% 1.51/1.77  (define @t35 () (and @t34 @t32))
% 1.51/1.77  (define @t36 () (=> @t35 (= @t31 @t30)))
% 1.51/1.77  (define @t37 () (@list @t31))
% 1.51/1.77  (define @t38 () (forall @t37 @t36))
% 1.51/1.77  (define @t39 () (tptp.in @t30 @t33))
% 1.51/1.77  (define @t40 () (and @t39 @t38))
% 1.51/1.77  (define @t41 () (not @t40))
% 1.51/1.77  (define @t42 () (@list @t30))
% 1.51/1.77  (define @t43 () (forall @t42 @t41))
% 1.51/1.77  (define @t44 () (not (= @t33 tptp.empty_set)))
% 1.51/1.77  (define @t45 () (and @t44 @t43))
% 1.51/1.77  (define @t46 () (not @t45))
% 1.51/1.77  (define @t47 () (tptp.element @t33 @t19))
% 1.51/1.77  (define @t48 () (=> @t47 @t46))
% 1.51/1.77  (define @t49 () (@list @t33))
% 1.51/1.77  (define @t50 () (forall @t49 @t48))
% 1.51/1.77  (define @t51 () (=> @t24 @t50))
% 1.51/1.77  (define @t52 () (or (= @t18 tptp.empty_set) @t51))
% 1.51/1.77  (define @t53 () (@var "M" $$unsorted))
% 1.51/1.77  (define @t54 () (@var "N" $$unsorted))
% 1.51/1.77  (define @t55 () (tptp.subset @t53 @t54))
% 1.51/1.77  (define @t56 () (@var "L" $$unsorted))
% 1.51/1.77  (define @t57 () (tptp.in @t54 @t56))
% 1.51/1.77  (define @t58 () (and @t57 @t55))
% 1.51/1.77  (define @t59 () (=> @t58 (= @t54 @t53)))
% 1.51/1.77  (define @t60 () (@list @t54))
% 1.51/1.77  (define @t61 () (forall @t60 @t59))
% 1.51/1.77  (define @t62 () (tptp.in @t53 @t56))
% 1.51/1.77  (define @t63 () (and @t62 @t61))
% 1.51/1.77  (define @t64 () (not @t63))
% 1.51/1.77  (define @t65 () (@list @t53))
% 1.51/1.77  (define @t66 () (forall @t65 @t64))
% 1.51/1.77  (define @t67 () (not (= @t56 tptp.empty_set)))
% 1.51/1.77  (define @t68 () (and @t67 @t66))
% 1.51/1.77  (define @t69 () (not @t68))
% 1.51/1.77  (define @t70 () (@var "K" $$unsorted))
% 1.51/1.77  (define @t71 () (tptp.powerset (tptp.powerset @t70)))
% 1.51/1.77  (define @t72 () (tptp.element @t56 @t71))
% 1.51/1.77  (define @t73 () (=> @t72 @t69))
% 1.51/1.77  (define @t74 () (@list @t56))
% 1.51/1.77  (define @t75 () (forall @t74 @t73))
% 1.51/1.77  (define @t76 () (tptp.in @t70 tptp.omega))
% 1.51/1.77  (define @t77 () (=> @t76 @t75))
% 1.51/1.77  (define @t78 () (tptp.in @t70 @t18))
% 1.51/1.77  (define @t79 () (=> @t78 @t77))
% 1.51/1.77  (define @t80 () (tptp.ordinal @t70))
% 1.51/1.77  (define @t81 () (=> @t80 @t79))
% 1.51/1.77  (define @t82 () (@list @t70))
% 1.51/1.77  (define @t83 () (forall @t82 @t81))
% 1.51/1.77  (define @t84 () (tptp.being_limit_ordinal @t18))
% 1.51/1.77  (define @t85 () (and @t84 @t83))
% 1.51/1.77  (define @t86 () (=> @t85 @t52))
% 1.51/1.77  (define @t87 () (=> @t26 @t86))
% 1.51/1.77  (define @t88 () (forall @t28 @t87))
% 1.51/1.77  (define @t89 () (@var "I" $$unsorted))
% 1.51/1.77  (define @t90 () (@var "J" $$unsorted))
% 1.51/1.77  (define @t91 () (tptp.subset @t89 @t90))
% 1.51/1.77  (define @t92 () (@var "H" $$unsorted))
% 1.51/1.77  (define @t93 () (tptp.in @t90 @t92))
% 1.51/1.77  (define @t94 () (and @t93 @t91))
% 1.51/1.77  (define @t95 () (=> @t94 (= @t90 @t89)))
% 1.51/1.77  (define @t96 () (@list @t90))
% 1.51/1.77  (define @t97 () (forall @t96 @t95))
% 1.51/1.77  (define @t98 () (tptp.in @t89 @t92))
% 1.51/1.77  (define @t99 () (and @t98 @t97))
% 1.51/1.77  (define @t100 () (not @t99))
% 1.51/1.77  (define @t101 () (@list @t89))
% 1.51/1.77  (define @t102 () (forall @t101 @t100))
% 1.51/1.77  (define @t103 () (not (= @t92 tptp.empty_set)))
% 1.51/1.77  (define @t104 () (and @t103 @t102))
% 1.51/1.77  (define @t105 () (not @t104))
% 1.51/1.77  (define @t106 () (tptp.succ @t18))
% 1.51/1.77  (define @t107 () (tptp.powerset (tptp.powerset @t106)))
% 1.51/1.77  (define @t108 () (tptp.element @t92 @t107))
% 1.51/1.77  (define @t109 () (=> @t108 @t105))
% 1.51/1.77  (define @t110 () (@list @t92))
% 1.51/1.77  (define @t111 () (forall @t110 @t109))
% 1.51/1.77  (define @t112 () (tptp.in @t106 tptp.omega))
% 1.51/1.77  (define @t113 () (=> @t112 @t111))
% 1.51/1.77  (define @t114 () (@var "F" $$unsorted))
% 1.51/1.77  (define @t115 () (@var "G" $$unsorted))
% 1.51/1.77  (define @t116 () (tptp.subset @t114 @t115))
% 1.51/1.77  (define @t117 () (@var "E" $$unsorted))
% 1.51/1.77  (define @t118 () (tptp.in @t115 @t117))
% 1.51/1.77  (define @t119 () (and @t118 @t116))
% 1.51/1.77  (define @t120 () (=> @t119 (= @t115 @t114)))
% 1.51/1.77  (define @t121 () (@list @t115))
% 1.51/1.77  (define @t122 () (forall @t121 @t120))
% 1.51/1.77  (define @t123 () (tptp.in @t114 @t117))
% 1.51/1.77  (define @t124 () (and @t123 @t122))
% 1.51/1.77  (define @t125 () (not @t124))
% 1.51/1.77  (define @t126 () (@list @t114))
% 1.51/1.77  (define @t127 () (forall @t126 @t125))
% 1.51/1.77  (define @t128 () (not (= @t117 tptp.empty_set)))
% 1.51/1.77  (define @t129 () (and @t128 @t127))
% 1.51/1.77  (define @t130 () (not @t129))
% 1.51/1.77  (define @t131 () (tptp.element @t117 @t19))
% 1.51/1.77  (define @t132 () (=> @t131 @t130))
% 1.51/1.77  (define @t133 () (@list @t117))
% 1.51/1.77  (define @t134 () (forall @t133 @t132))
% 1.51/1.77  (define @t135 () (=> @t24 @t134))
% 1.51/1.77  (define @t136 () (=> @t135 @t113))
% 1.51/1.77  (define @t137 () (=> @t26 @t136))
% 1.51/1.77  (define @t138 () (forall @t28 @t137))
% 1.51/1.77  (define @t139 () (@var "B" $$unsorted))
% 1.51/1.77  (define @t140 () (@var "C" $$unsorted))
% 1.51/1.77  (define @t141 () (tptp.subset @t139 @t140))
% 1.51/1.77  (define @t142 () (@var "A" $$unsorted))
% 1.51/1.77  (define @t143 () (tptp.in @t140 @t142))
% 1.51/1.77  (define @t144 () (and @t143 @t141))
% 1.51/1.77  (define @t145 () (=> @t144 (= @t140 @t139)))
% 1.51/1.77  (define @t146 () (@list @t140))
% 1.51/1.77  (define @t147 () (forall @t146 @t145))
% 1.51/1.77  (define @t148 () (tptp.in @t139 @t142))
% 1.51/1.77  (define @t149 () (and @t148 @t147))
% 1.51/1.77  (define @t150 () (not @t149))
% 1.51/1.77  (define @t151 () (@list @t139))
% 1.51/1.77  (define @t152 () (forall @t151 @t150))
% 1.51/1.77  (define @t153 () (= @t142 tptp.empty_set))
% 1.51/1.77  (define @t154 () (not @t153))
% 1.51/1.77  (define @t155 () (and @t154 @t152))
% 1.51/1.77  (define @t156 () (not @t155))
% 1.51/1.77  (define @t157 () (tptp.powerset (tptp.powerset tptp.empty_set)))
% 1.51/1.77  (define @t158 () (tptp.element @t142 @t157))
% 1.51/1.77  (define @t159 () (=> @t158 @t156))
% 1.51/1.77  (define @t160 () (@list @t142))
% 1.51/1.77  (define @t161 () (forall @t160 @t159))
% 1.51/1.77  (define @t162 () (tptp.in tptp.empty_set tptp.omega))
% 1.51/1.77  (define @t163 () (=> @t162 @t161))
% 1.51/1.77  (define @t164 () (and @t163 @t138 @t88))
% 1.51/1.77  (define @t165 () (=> @t164 @t29))
% 1.51/1.77  (define @t166 () (not @t165))
% 1.51/1.77  (define @t167 () (tptp.finite @t142))
% 1.51/1.77  (define @t168 () (tptp.empty @t142))
% 1.51/1.77  (define @t169 () (not @t168))
% 1.51/1.77  (define @t170 () (tptp.finite @t139))
% 1.51/1.77  (define @t171 () (tptp.ordinal @t139))
% 1.51/1.77  (define @t172 () (tptp.epsilon_connected @t139))
% 1.51/1.77  (define @t173 () (tptp.epsilon_transitive @t139))
% 1.51/1.77  (define @t174 () (tptp.empty @t139))
% 1.51/1.77  (define @t175 () (tptp.powerset @t142))
% 1.51/1.77  (define @t176 () (tptp.element @t139 @t175))
% 1.51/1.77  (define @t177 () (not @t174))
% 1.51/1.77  (define @t178 () (tptp.function @t142))
% 1.51/1.77  (define @t179 () (tptp.relation @t142))
% 1.51/1.77  (define @t180 () (and @t179 @t168 @t178))
% 1.51/1.77  (define @t181 () (tptp.one_to_one @t142))
% 1.51/1.77  (define @t182 () (and @t179 @t178 @t181))
% 1.51/1.77  (define @t183 () (tptp.relation_empty_yielding @t142))
% 1.51/1.77  (define @t184 () (tptp.being_limit_ordinal @t142))
% 1.51/1.77  (define @t185 () (tptp.ordinal @t142))
% 1.51/1.77  (define @t186 () (tptp.epsilon_connected @t142))
% 1.51/1.77  (define @t187 () (tptp.epsilon_transitive @t142))
% 1.51/1.77  (define @t188 () (tptp.natural @t142))
% 1.51/1.77  (define @t189 () (and @t187 @t186 @t185 @t188))
% 1.51/1.77  (define @t190 () (tptp.succ @t142))
% 1.51/1.77  (define @t191 () (tptp.ordinal @t190))
% 1.51/1.77  (define @t192 () (tptp.epsilon_connected @t190))
% 1.51/1.77  (define @t193 () (tptp.epsilon_transitive @t190))
% 1.51/1.77  (define @t194 () (not (tptp.empty @t190)))
% 1.51/1.77  (define @t195 () (and @t187 @t186))
% 1.51/1.77  (define @t196 () (and @t187 @t186 @t185))
% 1.51/1.77  (define @t197 () (and @t179 @t178 @t181 @t168 @t187 @t186 @t185))
% 1.51/1.77  (define @t198 () (exists @t160 @t197))
% 1.51/1.77  (define @t199 () (@list @t142 @t139))
% 1.51/1.77  (define @t200 () (not @t148))
% 1.51/1.77  (define @t201 () (tptp.in @t142 @t139))
% 1.51/1.77  (define @t202 () (tptp.empty tptp.omega))
% 1.51/1.77  (define @t203 () (tptp.relation tptp.empty_set))
% 1.51/1.77  (define @t204 () (tptp.empty tptp.empty_set))
% 1.51/1.77  (define @t205 () (tptp.relation_empty_yielding tptp.empty_set))
% 1.51/1.77  (define @t206 () (tptp.element @t139 @t142))
% 1.51/1.77  (define @t207 () (tptp.subset @t90 @t70))
% 1.51/1.77  (define @t208 () (tptp.in @t70 @t89))
% 1.51/1.77  (define @t209 () (and @t208 @t207))
% 1.51/1.77  (define @t210 () (=> @t209 (= @t70 @t90)))
% 1.51/1.77  (define @t211 () (forall @t82 @t210))
% 1.51/1.77  (define @t212 () (tptp.in @t90 @t89))
% 1.51/1.77  (define @t213 () (and @t212 @t211))
% 1.51/1.77  (define @t214 () (not @t213))
% 1.51/1.77  (define @t215 () (forall @t96 @t214))
% 1.51/1.77  (define @t216 () (not (= @t89 tptp.empty_set)))
% 1.51/1.77  (define @t217 () (and @t216 @t215))
% 1.51/1.77  (define @t218 () (not @t217))
% 1.51/1.77  (define @t219 () (tptp.powerset @t175))
% 1.51/1.77  (define @t220 () (tptp.element @t89 @t219))
% 1.51/1.77  (define @t221 () (=> @t220 @t218))
% 1.51/1.77  (define @t222 () (forall @t101 @t221))
% 1.51/1.77  (define @t223 () (tptp.in @t142 tptp.omega))
% 1.51/1.77  (define @t224 () (=> @t223 @t222))
% 1.51/1.77  (define @t225 () (=> @t185 @t224))
% 1.51/1.77  (define @t226 () (forall @t160 @t225))
% 1.51/1.77  (define @t227 () (tptp.subset @t115 @t92))
% 1.51/1.77  (define @t228 () (tptp.in @t92 @t114))
% 1.51/1.77  (define @t229 () (and @t228 @t227))
% 1.51/1.77  (define @t230 () (=> @t229 (= @t92 @t115)))
% 1.51/1.77  (define @t231 () (forall @t110 @t230))
% 1.51/1.77  (define @t232 () (tptp.in @t115 @t114))
% 1.51/1.77  (define @t233 () (and @t232 @t231))
% 1.51/1.77  (define @t234 () (not @t233))
% 1.51/1.77  (define @t235 () (forall @t121 @t234))
% 1.51/1.77  (define @t236 () (not (= @t114 tptp.empty_set)))
% 1.51/1.77  (define @t237 () (and @t236 @t235))
% 1.51/1.77  (define @t238 () (not @t237))
% 1.51/1.77  (define @t239 () (tptp.element @t114 @t219))
% 1.51/1.77  (define @t240 () (=> @t239 @t238))
% 1.51/1.77  (define @t241 () (forall @t126 @t240))
% 1.51/1.77  (define @t242 () (=> @t223 @t241))
% 1.51/1.77  (define @t243 () (tptp.subset @t18 @t117))
% 1.51/1.77  (define @t244 () (tptp.in @t117 @t140))
% 1.51/1.77  (define @t245 () (and @t244 @t243))
% 1.51/1.77  (define @t246 () (=> @t245 (= @t117 @t18)))
% 1.51/1.77  (define @t247 () (forall @t133 @t246))
% 1.51/1.77  (define @t248 () (tptp.in @t18 @t140))
% 1.51/1.77  (define @t249 () (and @t248 @t247))
% 1.51/1.77  (define @t250 () (not @t249))
% 1.51/1.77  (define @t251 () (forall @t28 @t250))
% 1.51/1.77  (define @t252 () (not (= @t140 tptp.empty_set)))
% 1.51/1.77  (define @t253 () (and @t252 @t251))
% 1.51/1.77  (define @t254 () (not @t253))
% 1.51/1.77  (define @t255 () (tptp.powerset (tptp.powerset @t139)))
% 1.51/1.77  (define @t256 () (tptp.element @t140 @t255))
% 1.51/1.77  (define @t257 () (=> @t256 @t254))
% 1.51/1.77  (define @t258 () (forall @t146 @t257))
% 1.51/1.77  (define @t259 () (tptp.in @t139 tptp.omega))
% 1.51/1.77  (define @t260 () (=> @t259 @t258))
% 1.51/1.77  (define @t261 () (=> @t148 @t260))
% 1.51/1.77  (define @t262 () (=> @t171 @t261))
% 1.51/1.77  (define @t263 () (forall @t151 @t262))
% 1.51/1.77  (define @t264 () (=> @t263 @t242))
% 1.51/1.77  (define @t265 () (=> @t185 @t264))
% 1.51/1.77  (define @t266 () (forall @t160 @t265))
% 1.51/1.77  (define @t267 () (=> @t266 @t226))
% 1.51/1.77  (define @t268 () (tptp.set_union2 @t139 @t142))
% 1.51/1.77  (define @t269 () (tptp.set_union2 @t142 @t139))
% 1.51/1.77  (define @t270 () (tptp.singleton @t142))
% 1.51/1.77  (define @t271 () (tptp.element @t142 @t139))
% 1.51/1.77  (define @t272 () (forall @t199 (=> @t201 @t271)))
% 1.51/1.77  (define @t273 () (or @t174 @t201))
% 1.51/1.77  (define @t274 () (forall @t199 (=> @t271 @t273)))
% 1.51/1.77  (define @t275 () (tptp.succ @t139))
% 1.51/1.77  (define @t276 () (= @t142 @t275))
% 1.51/1.77  (define @t277 () (and @t171 @t276))
% 1.51/1.77  (define @t278 () (exists @t151 @t277))
% 1.51/1.77  (define @t279 () (and @t278 @t184))
% 1.51/1.77  (define @t280 () (not @t279))
% 1.51/1.77  (define @t281 () (not @t276))
% 1.51/1.77  (define @t282 () (forall @t151 (=> @t171 @t281)))
% 1.51/1.77  (define @t283 () (not @t184))
% 1.51/1.77  (define @t284 () (and @t283 @t282))
% 1.51/1.77  (define @t285 () (not @t284))
% 1.51/1.77  (define @t286 () (and @t285 @t280))
% 1.51/1.77  (define @t287 () (=> @t185 @t286))
% 1.51/1.77  (define @t288 () (forall @t160 @t287))
% 1.51/1.77  (define @t289 () (=> @t168 @t153))
% 1.51/1.77  (define @t290 () (forall @t160 @t289))
% 1.51/1.77  (define @t291 () (= @t1 @t2))
% 1.51/1.77  (define @t292 () (not @t3))
% 1.51/1.77  (define @t293 () (@var "BOUND_VARIABLE_8159" $$unsorted))
% 1.51/1.77  (define @t294 () (not (forall @t13 (or (not (tptp.in @t1 @t293)) (not (forall @t8 (or (not (tptp.in @t2 @t293)) @t292 @t291)))))))
% 1.51/1.77  (define @t295 () (= tptp.empty_set @t293))
% 1.51/1.77  (define @t296 () (not (tptp.element @t293 @t19)))
% 1.51/1.77  (define @t297 () (not @t24))
% 1.51/1.77  (define @t298 () (not @t26))
% 1.51/1.77  (define @t299 () (or @t298 @t297 @t296 @t295 @t294))
% 1.51/1.77  (define @t300 () (or @t296 @t295 @t294))
% 1.51/1.77  (define @t301 () (or @t298 @t297 @t300))
% 1.51/1.77  (define @t302 () (@list @t18 @t293))
% 1.51/1.77  (define @t303 () (forall @t302 @t301))
% 1.51/1.77  (define @t304 () (@list @t293))
% 1.51/1.77  (define @t305 () (forall @t304 @t301))
% 1.51/1.77  (define @t306 () (forall @t304 @t300))
% 1.51/1.77  (define @t307 () (or @t298 @t297 @t306))
% 1.51/1.77  (define @t308 () (not @t5))
% 1.51/1.77  (define @t309 () (or @t308 @t292 @t291))
% 1.51/1.77  (define @t310 () (forall @t8 @t309))
% 1.51/1.77  (define @t311 () (forall @t13 (or (not @t10) (not @t310))))
% 1.51/1.77  (define @t312 () (not @t311))
% 1.51/1.77  (define @t313 () (= tptp.empty_set @t4))
% 1.51/1.77  (define @t314 () (not @t20))
% 1.51/1.77  (define @t315 () (or @t314 @t313 @t312))
% 1.51/1.77  (define @t316 () (forall @t22 @t315))
% 1.51/1.77  (define @t317 () (or @t298 @t297 @t316))
% 1.51/1.77  (define @t318 () (=> @t24 @t316))
% 1.51/1.77  (define @t319 () (not @t313))
% 1.51/1.77  (define @t320 () (not (and @t319 @t311)))
% 1.51/1.77  (define @t321 () (= @t30 @t31))
% 1.51/1.77  (define @t322 () (not @t32))
% 1.51/1.77  (define @t323 () (@var "BOUND_VARIABLE_8104" $$unsorted))
% 1.51/1.77  (define @t324 () (not (forall @t42 (or (not (tptp.in @t30 @t323)) (not (forall @t37 (or (not (tptp.in @t31 @t323)) @t322 @t321)))))))
% 1.51/1.77  (define @t325 () (= tptp.empty_set @t323))
% 1.51/1.77  (define @t326 () (not (tptp.element @t323 @t19)))
% 1.51/1.77  (define @t327 () (= tptp.empty_set @t18))
% 1.51/1.77  (define @t328 () (= @t53 @t54))
% 1.51/1.77  (define @t329 () (not @t55))
% 1.51/1.77  (define @t330 () (@var "BOUND_VARIABLE_8039" $$unsorted))
% 1.51/1.77  (define @t331 () (not (forall @t65 (or (not (tptp.in @t53 @t330)) (not (forall @t60 (or (not (tptp.in @t54 @t330)) @t329 @t328)))))))
% 1.51/1.77  (define @t332 () (= tptp.empty_set @t330))
% 1.51/1.77  (define @t333 () (not (tptp.element @t330 @t71)))
% 1.51/1.77  (define @t334 () (not @t76))
% 1.51/1.77  (define @t335 () (not @t78))
% 1.51/1.77  (define @t336 () (not @t80))
% 1.51/1.77  (define @t337 () (or @t336 @t335 @t334 @t333 @t332 @t331))
% 1.51/1.77  (define @t338 () (@list @t70 @t330))
% 1.51/1.77  (define @t339 () (forall @t338 @t337))
% 1.51/1.77  (define @t340 () (not @t339))
% 1.51/1.77  (define @t341 () (not @t84))
% 1.51/1.77  (define @t342 () (or @t326 @t325 @t324))
% 1.51/1.77  (define @t343 () (or @t298 @t341 @t340 @t327 @t297 @t342))
% 1.51/1.77  (define @t344 () (forall (@list @t18 @t323) @t343))
% 1.51/1.77  (define @t345 () (@list @t323))
% 1.51/1.77  (define @t346 () (forall @t345 @t343))
% 1.51/1.77  (define @t347 () (forall @t345 @t342))
% 1.51/1.77  (define @t348 () (or @t298 @t341 @t340 @t327 @t297 @t347))
% 1.51/1.77  (define @t349 () (not @t34))
% 1.51/1.77  (define @t350 () (or @t349 @t322 @t321))
% 1.51/1.77  (define @t351 () (forall @t37 @t350))
% 1.51/1.77  (define @t352 () (forall @t42 (or (not @t39) (not @t351))))
% 1.51/1.77  (define @t353 () (not @t352))
% 1.51/1.77  (define @t354 () (= tptp.empty_set @t33))
% 1.51/1.77  (define @t355 () (not @t47))
% 1.51/1.77  (define @t356 () (or @t355 @t354 @t353))
% 1.51/1.77  (define @t357 () (forall @t49 @t356))
% 1.51/1.77  (define @t358 () (or @t298 @t341 @t340 @t327 @t297 @t357))
% 1.51/1.77  (define @t359 () (or @t341 @t340 @t327 @t297 @t357))
% 1.51/1.77  (define @t360 () (or @t327 @t297 @t357))
% 1.51/1.77  (define @t361 () (or @t327 (=> @t24 @t357)))
% 1.51/1.77  (define @t362 () (and @t84 @t339))
% 1.51/1.77  (define @t363 () (=> @t362 @t361))
% 1.51/1.77  (define @t364 () (not @t354))
% 1.51/1.77  (define @t365 () (not (and @t364 @t352)))
% 1.51/1.77  (define @t366 () (or @t333 @t332 @t331))
% 1.51/1.77  (define @t367 () (or @t336 @t335 @t334 @t366))
% 1.51/1.77  (define @t368 () (forall @t338 @t367))
% 1.51/1.77  (define @t369 () (@list @t330))
% 1.51/1.77  (define @t370 () (forall @t369 @t367))
% 1.51/1.77  (define @t371 () (forall @t369 @t366))
% 1.51/1.77  (define @t372 () (or @t336 @t335 @t334 @t371))
% 1.51/1.77  (define @t373 () (not @t57))
% 1.51/1.77  (define @t374 () (or @t373 @t329 @t328))
% 1.51/1.77  (define @t375 () (forall @t60 @t374))
% 1.51/1.77  (define @t376 () (forall @t65 (or (not @t62) (not @t375))))
% 1.51/1.77  (define @t377 () (not @t376))
% 1.51/1.77  (define @t378 () (= tptp.empty_set @t56))
% 1.51/1.77  (define @t379 () (not @t72))
% 1.51/1.77  (define @t380 () (or @t379 @t378 @t377))
% 1.51/1.77  (define @t381 () (forall @t74 @t380))
% 1.51/1.77  (define @t382 () (or @t336 @t335 @t334 @t381))
% 1.51/1.77  (define @t383 () (or @t335 @t334 @t381))
% 1.51/1.77  (define @t384 () (=> @t76 @t381))
% 1.51/1.77  (define @t385 () (=> @t78 @t384))
% 1.51/1.77  (define @t386 () (not @t378))
% 1.51/1.77  (define @t387 () (not (and @t386 @t376)))
% 1.51/1.77  (define @t388 () (= @t89 @t90))
% 1.51/1.77  (define @t389 () (not @t91))
% 1.51/1.77  (define @t390 () (@var "BOUND_VARIABLE_7980" $$unsorted))
% 1.51/1.77  (define @t391 () (not (forall @t101 (or (not (tptp.in @t89 @t390)) (not (forall @t96 (or (not (tptp.in @t90 @t390)) @t389 @t388)))))))
% 1.51/1.77  (define @t392 () (= tptp.empty_set @t390))
% 1.51/1.77  (define @t393 () (not (tptp.element @t390 @t107)))
% 1.51/1.77  (define @t394 () (not @t112))
% 1.51/1.77  (define @t395 () (= @t114 @t115))
% 1.51/1.77  (define @t396 () (not @t116))
% 1.51/1.77  (define @t397 () (not @t118))
% 1.51/1.77  (define @t398 () (or @t397 @t396 @t395))
% 1.51/1.77  (define @t399 () (forall @t121 @t398))
% 1.51/1.77  (define @t400 () (forall @t126 (or (not @t123) (not @t399))))
% 1.51/1.77  (define @t401 () (not @t400))
% 1.51/1.77  (define @t402 () (= tptp.empty_set @t117))
% 1.51/1.77  (define @t403 () (not @t131))
% 1.51/1.77  (define @t404 () (or @t403 @t402 @t401))
% 1.51/1.77  (define @t405 () (forall @t133 @t404))
% 1.51/1.77  (define @t406 () (and @t24 (not @t405)))
% 1.51/1.77  (define @t407 () (or @t393 @t392 @t391))
% 1.51/1.77  (define @t408 () (or @t298 @t406 @t394 @t407))
% 1.51/1.77  (define @t409 () (forall (@list @t18 @t390) @t408))
% 1.51/1.77  (define @t410 () (@list @t390))
% 1.51/1.77  (define @t411 () (forall @t410 @t408))
% 1.51/1.77  (define @t412 () (forall @t410 @t407))
% 1.51/1.77  (define @t413 () (or @t298 @t406 @t394 @t412))
% 1.51/1.77  (define @t414 () (not @t93))
% 1.51/1.77  (define @t415 () (or @t414 @t389 @t388))
% 1.51/1.77  (define @t416 () (forall @t96 @t415))
% 1.51/1.77  (define @t417 () (forall @t101 (or (not @t98) (not @t416))))
% 1.51/1.77  (define @t418 () (not @t417))
% 1.51/1.77  (define @t419 () (= tptp.empty_set @t92))
% 1.51/1.77  (define @t420 () (not @t108))
% 1.51/1.77  (define @t421 () (or @t420 @t419 @t418))
% 1.51/1.77  (define @t422 () (forall @t110 @t421))
% 1.51/1.77  (define @t423 () (or @t298 @t406 @t394 @t422))
% 1.51/1.77  (define @t424 () (or @t406 @t394 @t422))
% 1.51/1.77  (define @t425 () (=> @t112 @t422))
% 1.51/1.77  (define @t426 () (=> @t24 @t405))
% 1.51/1.77  (define @t427 () (=> @t426 @t425))
% 1.51/1.77  (define @t428 () (not @t419))
% 1.51/1.77  (define @t429 () (not (and @t428 @t417)))
% 1.51/1.77  (define @t430 () (not @t402))
% 1.51/1.77  (define @t431 () (not (and @t430 @t400)))
% 1.51/1.77  (define @t432 () (= @t139 @t140))
% 1.51/1.77  (define @t433 () (not @t141))
% 1.51/1.77  (define @t434 () (not @t143))
% 1.51/1.77  (define @t435 () (or @t434 @t433 @t432))
% 1.51/1.77  (define @t436 () (forall @t146 @t435))
% 1.51/1.77  (define @t437 () (forall @t151 (or @t200 (not @t436))))
% 1.51/1.77  (define @t438 () (not @t437))
% 1.51/1.77  (define @t439 () (= tptp.empty_set @t142))
% 1.51/1.77  (define @t440 () (not @t158))
% 1.51/1.77  (define @t441 () (or @t440 @t439 @t438))
% 1.51/1.77  (define @t442 () (not @t439))
% 1.51/1.77  (define @t443 () (not (and @t442 @t437)))
% 1.51/1.77  (define @t444 () (forall @t302 @t299))
% 1.51/1.77  (define @t445 () (@var "BOUND_VARIABLE_8573" $$unsorted))
% 1.51/1.77  (define @t446 () (= @t90 @t70))
% 1.51/1.77  (define @t447 () (not @t207))
% 1.51/1.77  (define @t448 () (not (forall @t96 (or (not (tptp.in @t90 @t445)) (not (forall @t82 (or (not (tptp.in @t70 @t445)) @t447 @t446)))))))
% 1.51/1.77  (define @t449 () (= tptp.empty_set @t445))
% 1.51/1.77  (define @t450 () (not (tptp.element @t445 @t219)))
% 1.51/1.77  (define @t451 () (not @t223))
% 1.51/1.77  (define @t452 () (not @t185))
% 1.51/1.77  (define @t453 () (or @t452 @t451 @t450 @t449 @t448))
% 1.51/1.77  (define @t454 () (@list @t142 @t445))
% 1.51/1.77  (define @t455 () (forall @t454 @t453))
% 1.51/1.77  (define @t456 () (@list true))
% 1.51/1.77  (define @t457 () (or @t450 @t449 @t448))
% 1.51/1.77  (define @t458 () (or @t452 @t451 @t457))
% 1.51/1.77  (define @t459 () (forall @t454 @t458))
% 1.51/1.77  (define @t460 () (@list @t445))
% 1.51/1.77  (define @t461 () (forall @t460 @t458))
% 1.51/1.77  (define @t462 () (forall @t460 @t457))
% 1.51/1.77  (define @t463 () (or @t452 @t451 @t462))
% 1.51/1.77  (define @t464 () (not @t208))
% 1.51/1.77  (define @t465 () (or @t464 @t447 @t446))
% 1.51/1.77  (define @t466 () (forall @t82 @t465))
% 1.51/1.77  (define @t467 () (forall @t96 (or (not @t212) (not @t466))))
% 1.51/1.77  (define @t468 () (not @t467))
% 1.51/1.77  (define @t469 () (= tptp.empty_set @t89))
% 1.51/1.77  (define @t470 () (not @t220))
% 1.51/1.77  (define @t471 () (or @t470 @t469 @t468))
% 1.51/1.77  (define @t472 () (forall @t101 @t471))
% 1.51/1.77  (define @t473 () (or @t452 @t451 @t472))
% 1.51/1.77  (define @t474 () (=> @t223 @t472))
% 1.51/1.77  (define @t475 () (not @t469))
% 1.51/1.77  (define @t476 () (not (and @t475 @t467)))
% 1.51/1.77  (define @t477 () (= @t115 @t92))
% 1.51/1.77  (define @t478 () (not @t227))
% 1.51/1.77  (define @t479 () (@var "BOUND_VARIABLE_8519" $$unsorted))
% 1.51/1.77  (define @t480 () (not (forall @t121 (or (not (tptp.in @t115 @t479)) (not (forall @t110 (or (not (tptp.in @t92 @t479)) @t478 @t477)))))))
% 1.51/1.77  (define @t481 () (= tptp.empty_set @t479))
% 1.51/1.77  (define @t482 () (not (tptp.element @t479 @t219)))
% 1.51/1.77  (define @t483 () (= @t18 @t117))
% 1.51/1.77  (define @t484 () (not @t243))
% 1.51/1.77  (define @t485 () (@var "BOUND_VARIABLE_8461" $$unsorted))
% 1.51/1.77  (define @t486 () (not (forall @t28 (or (not (tptp.in @t18 @t485)) (not (forall @t133 (or (not (tptp.in @t117 @t485)) @t484 @t483)))))))
% 1.51/1.77  (define @t487 () (= tptp.empty_set @t485))
% 1.51/1.77  (define @t488 () (not (tptp.element @t485 @t255)))
% 1.51/1.77  (define @t489 () (not @t259))
% 1.51/1.77  (define @t490 () (not @t171))
% 1.51/1.77  (define @t491 () (or @t490 @t200 @t489 @t488 @t487 @t486))
% 1.51/1.77  (define @t492 () (@list @t139 @t485))
% 1.51/1.77  (define @t493 () (forall @t492 @t491))
% 1.51/1.77  (define @t494 () (not @t493))
% 1.51/1.77  (define @t495 () (or @t452 @t494 @t451 @t482 @t481 @t480))
% 1.51/1.77  (define @t496 () (or @t482 @t481 @t480))
% 1.51/1.77  (define @t497 () (or @t452 @t494 @t451 @t496))
% 1.51/1.77  (define @t498 () (@list @t142 @t479))
% 1.51/1.77  (define @t499 () (forall @t498 @t497))
% 1.51/1.77  (define @t500 () (@list @t479))
% 1.51/1.77  (define @t501 () (forall @t500 @t497))
% 1.51/1.77  (define @t502 () (forall @t500 @t496))
% 1.51/1.77  (define @t503 () (or @t452 @t494 @t451 @t502))
% 1.51/1.77  (define @t504 () (not @t228))
% 1.51/1.77  (define @t505 () (or @t504 @t478 @t477))
% 1.51/1.77  (define @t506 () (forall @t110 @t505))
% 1.51/1.77  (define @t507 () (forall @t121 (or (not @t232) (not @t506))))
% 1.51/1.77  (define @t508 () (not @t507))
% 1.51/1.77  (define @t509 () (= tptp.empty_set @t114))
% 1.51/1.77  (define @t510 () (not @t239))
% 1.51/1.77  (define @t511 () (or @t510 @t509 @t508))
% 1.51/1.77  (define @t512 () (forall @t126 @t511))
% 1.51/1.77  (define @t513 () (or @t452 @t494 @t451 @t512))
% 1.51/1.77  (define @t514 () (or @t494 @t451 @t512))
% 1.51/1.77  (define @t515 () (=> @t223 @t512))
% 1.51/1.77  (define @t516 () (=> @t493 @t515))
% 1.51/1.77  (define @t517 () (not @t509))
% 1.51/1.77  (define @t518 () (not (and @t517 @t507)))
% 1.51/1.77  (define @t519 () (or @t488 @t487 @t486))
% 1.51/1.77  (define @t520 () (or @t490 @t200 @t489 @t519))
% 1.51/1.77  (define @t521 () (forall @t492 @t520))
% 1.51/1.77  (define @t522 () (@list @t485))
% 1.51/1.77  (define @t523 () (forall @t522 @t520))
% 1.51/1.77  (define @t524 () (forall @t522 @t519))
% 1.51/1.77  (define @t525 () (or @t490 @t200 @t489 @t524))
% 1.51/1.77  (define @t526 () (not @t244))
% 1.51/1.77  (define @t527 () (or @t526 @t484 @t483))
% 1.51/1.77  (define @t528 () (forall @t133 @t527))
% 1.51/1.77  (define @t529 () (forall @t28 (or (not @t248) (not @t528))))
% 1.51/1.77  (define @t530 () (not @t529))
% 1.51/1.77  (define @t531 () (= tptp.empty_set @t140))
% 1.51/1.77  (define @t532 () (not @t256))
% 1.51/1.77  (define @t533 () (or @t532 @t531 @t530))
% 1.51/1.77  (define @t534 () (forall @t146 @t533))
% 1.51/1.77  (define @t535 () (or @t490 @t200 @t489 @t534))
% 1.51/1.77  (define @t536 () (or @t200 @t489 @t534))
% 1.51/1.77  (define @t537 () (=> @t259 @t534))
% 1.51/1.77  (define @t538 () (=> @t148 @t537))
% 1.51/1.77  (define @t539 () (not @t531))
% 1.51/1.77  (define @t540 () (not (and @t539 @t529)))
% 1.51/1.77  (define @t541 () (forall @t498 @t495))
% 1.51/1.77  (define @t542 () (not @t541))
% 1.51/1.77  (define @t543 () (@quantifiers_skolemize @t541 0))
% 1.51/1.77  (define @t544 () (tptp.powerset @t543))
% 1.51/1.77  (define @t545 () (tptp.powerset @t544))
% 1.51/1.77  (define @t546 () (@quantifiers_skolemize @t541 1))
% 1.51/1.77  (define @t547 () (tptp.element @t546 @t545))
% 1.51/1.77  (define @t548 () (forall @t121 (or (not (tptp.in @t115 @t546)) (not (forall @t110 (or (not (tptp.in @t92 @t546)) @t478 @t477))))))
% 1.51/1.77  (define @t549 () (not @t548))
% 1.51/1.77  (define @t550 () (= tptp.empty_set @t546))
% 1.51/1.77  (define @t551 () (not @t547))
% 1.51/1.77  (define @t552 () (tptp.in @t543 tptp.omega))
% 1.51/1.77  (define @t553 () (not @t552))
% 1.51/1.77  (define @t554 () (forall @t492 (or @t490 (not (tptp.in @t139 @t543)) @t489 @t488 @t487 @t486)))
% 1.51/1.77  (define @t555 () (not @t554))
% 1.51/1.77  (define @t556 () (tptp.ordinal @t543))
% 1.51/1.77  (define @t557 () (not @t556))
% 1.51/1.77  (define @t558 () (or @t557 @t555 @t553 @t551 @t550 @t549))
% 1.51/1.77  (define @t559 () (@list @t558))
% 1.51/1.77  (define @t560 () (@list @t92 @t115))
% 1.51/1.77  (define @t561 () (forall @t42 (or (not (tptp.in @t30 @t546)) (not (forall @t37 (or (not (tptp.in @t31 @t546)) @t322 @t321))))))
% 1.51/1.77  (define @t562 () (@list false))
% 1.51/1.77  (define @t563 () (@list @t548))
% 1.51/1.77  (define @t564 () (forall @t338 (or @t336 (not (tptp.in @t70 @t543)) @t334 @t333 @t332 @t331)))
% 1.51/1.77  (define @t565 () (@var "BOUND_VARIABLE_8638" $$unsorted))
% 1.51/1.77  (define @t566 () (not (= @t142 (tptp.succ @t565))))
% 1.51/1.77  (define @t567 () (not (tptp.ordinal @t565)))
% 1.51/1.77  (define @t568 () (or @t283 @t567 @t566))
% 1.51/1.77  (define @t569 () (or @t567 @t566))
% 1.51/1.77  (define @t570 () (or @t569 @t283))
% 1.51/1.77  (define @t571 () (forall @t151 (or @t490 @t281)))
% 1.51/1.77  (define @t572 () (not @t571))
% 1.51/1.77  (define @t573 () (or @t184 @t572))
% 1.51/1.77  (define @t574 () (and @t573 @t570))
% 1.51/1.77  (define @t575 () (or @t452 @t574))
% 1.51/1.77  (define @t576 () (@list @t142 @t565))
% 1.51/1.77  (define @t577 () (forall @t576 @t575))
% 1.51/1.77  (define @t578 () (@list @t565))
% 1.51/1.77  (define @t579 () (forall @t578 @t575))
% 1.51/1.77  (define @t580 () (forall @t578 @t569))
% 1.51/1.77  (define @t581 () (or @t580 @t283))
% 1.51/1.77  (define @t582 () (forall @t578 @t570))
% 1.51/1.77  (define @t583 () (forall @t578 @t573))
% 1.51/1.77  (define @t584 () (and @t583 @t582))
% 1.51/1.77  (define @t585 () (forall @t578 @t574))
% 1.51/1.77  (define @t586 () (or @t452 @t585))
% 1.51/1.77  (define @t587 () (and (not (and @t283 @t571)) (not (and @t572 @t184))))
% 1.51/1.77  (define @t588 () (forall @t151 (not @t277)))
% 1.51/1.77  (define @t589 () (not @t588))
% 1.51/1.77  (define @t590 () (tptp.being_limit_ordinal @t543))
% 1.51/1.77  (define @t591 () (not @t590))
% 1.51/1.77  (define @t592 () (or @t591 @t557 (not (= @t543 (tptp.succ @t543)))))
% 1.51/1.77  (define @t593 () (not (= @t543 @t275)))
% 1.51/1.77  (define @t594 () (or @t490 @t593))
% 1.51/1.77  (define @t595 () (forall @t151 @t594))
% 1.51/1.77  (define @t596 () (not @t595))
% 1.51/1.77  (define @t597 () (or @t590 @t596))
% 1.51/1.77  (define @t598 () (and @t597 @t592))
% 1.51/1.77  (define @t599 () (or @t557 @t598))
% 1.51/1.77  (define @t600 () (forall @t576 (or @t452 (and @t573 @t568))))
% 1.51/1.77  (define @t601 () (forall @t151 (or @t490 (not (= @t275 @t543)))))
% 1.51/1.77  (define @t602 () (not @t601))
% 1.51/1.77  (define @t603 () (or @t590 @t602))
% 1.51/1.77  (define @t604 () (and @t603 @t592))
% 1.51/1.77  (define @t605 () (or @t557 @t604))
% 1.51/1.77  (define @t606 () (@list false false))
% 1.51/1.77  (define @t607 () (@quantifiers_skolemize @t601 0))
% 1.51/1.77  (define @t608 () (tptp.ordinal @t607))
% 1.51/1.77  (define @t609 () (tptp.succ @t607))
% 1.51/1.77  (define @t610 () (= @t543 @t609))
% 1.51/1.77  (define @t611 () (not @t610))
% 1.51/1.77  (define @t612 () (not @t608))
% 1.51/1.77  (define @t613 () (or @t612 @t611))
% 1.51/1.77  (define @t614 () (tptp.in @t607 @t609))
% 1.51/1.77  (define @t615 () (tptp.in @t607 @t543))
% 1.51/1.77  (define @t616 () (and @t610 @t614))
% 1.51/1.77  (define @t617 () (tptp.in @t609 tptp.omega))
% 1.51/1.77  (define @t618 () (and @t552 @t610))
% 1.51/1.77  (define @t619 () (tptp.powerset @t609))
% 1.51/1.77  (define @t620 () (tptp.powerset @t619))
% 1.51/1.77  (define @t621 () (tptp.element @t546 @t620))
% 1.51/1.77  (define @t622 () (and @t547 @t610))
% 1.51/1.77  (define @t623 () (forall @t101 (or (not (tptp.in @t89 @t546)) (not (forall @t96 (or (not (tptp.in @t90 @t546)) @t389 @t388))))))
% 1.51/1.77  (define @t624 () (not @t623))
% 1.51/1.77  (define @t625 () (not @t621))
% 1.51/1.77  (define @t626 () (not @t617))
% 1.51/1.77  (define @t627 () (tptp.powerset (tptp.powerset @t607)))
% 1.51/1.77  (define @t628 () (forall @t133 (or (not (tptp.element @t117 @t627)) @t402 @t401)))
% 1.51/1.77  (define @t629 () (not @t628))
% 1.51/1.77  (define @t630 () (tptp.in @t607 tptp.omega))
% 1.51/1.77  (define @t631 () (and @t630 @t629))
% 1.51/1.77  (define @t632 () (or @t612 @t631 @t626 @t625 @t550 @t624))
% 1.51/1.77  (define @t633 () (not @t631))
% 1.51/1.77  (define @t634 () (@quantifiers_skolemize @t628 0))
% 1.51/1.77  (define @t635 () (forall @t126 (or (not (tptp.in @t114 @t634)) (not (forall @t121 (or (not (tptp.in @t115 @t634)) @t396 @t395))))))
% 1.51/1.77  (define @t636 () (not @t635))
% 1.51/1.77  (define @t637 () (= tptp.empty_set @t634))
% 1.51/1.77  (define @t638 () (tptp.element @t634 @t627))
% 1.51/1.77  (define @t639 () (not @t638))
% 1.51/1.77  (define @t640 () (or @t639 @t637 @t636))
% 1.51/1.77  (define @t641 () (not @t640))
% 1.51/1.77  (define @t642 () (forall @t28 (or (not (tptp.in @t18 @t634)) (not (forall @t133 (or (not (tptp.in @t117 @t634)) @t484 @t483))))))
% 1.51/1.77  (define @t643 () (not @t642))
% 1.51/1.77  (define @t644 () (not @t630))
% 1.51/1.77  (define @t645 () (not @t615))
% 1.51/1.77  (define @t646 () (or @t612 @t645 @t644 @t639 @t637 @t643))
% 1.51/1.77  (define @t647 () (not @t613))
% 1.51/1.77  (define @t648 () (not (= @t609 @t543)))
% 1.51/1.77  (define @t649 () (or @t612 @t648))
% 1.51/1.77  (define @t650 () (not @t649))
% 1.51/1.77  (define @t651 () (not @t561))
% 1.51/1.77  (define @t652 () (= tptp.empty_set @t543))
% 1.51/1.77  (define @t653 () (not @t564))
% 1.51/1.77  (define @t654 () (or @t557 @t591 @t653 @t652 @t553 @t551 @t550 @t651))
% 1.51/1.77  (define @t655 () (not @t271))
% 1.51/1.77  (define @t656 () (not @t186))
% 1.51/1.77  (define @t657 () (not @t187))
% 1.51/1.77  (define @t658 () (not @t181))
% 1.51/1.77  (define @t659 () (not @t178))
% 1.51/1.77  (define @t660 () (not @t179))
% 1.51/1.77  (define @t661 () (or @t660 @t659 @t658 @t169 @t657 @t656 @t452))
% 1.51/1.77  (define @t662 () (@quantifiers_skolemize (forall @t160 @t661) 0))
% 1.51/1.77  (define @t663 () (forall @t160 (not @t197)))
% 1.51/1.77  (define @t664 () (not @t663))
% 1.51/1.77  (define @t665 () (tptp.empty @t662))
% 1.51/1.77  (define @t666 () (not @t665))
% 1.51/1.77  (define @t667 () (or (not (tptp.relation @t662)) (not (tptp.function @t662)) (not (tptp.one_to_one @t662)) @t666 (not (tptp.epsilon_transitive @t662)) (not (tptp.epsilon_connected @t662)) (not (tptp.ordinal @t662))))
% 1.51/1.77  (define @t668 () (= tptp.empty_set @t662))
% 1.51/1.77  (define @t669 () (or @t666 @t668))
% 1.51/1.77  (define @t670 () (tptp.element @t543 tptp.omega))
% 1.51/1.77  (define @t671 () (or @t553 @t670))
% 1.51/1.77  (define @t672 () (not @t668))
% 1.51/1.77  (define @t673 () (not @t670))
% 1.51/1.77  (define @t674 () (tptp.element tptp.empty_set tptp.omega))
% 1.51/1.77  (define @t675 () (not @t652))
% 1.51/1.77  (define @t676 () (not @t674))
% 1.51/1.77  (define @t677 () (and @t670 @t652 @t668 @t676))
% 1.51/1.77  (define @t678 () (or @t676 @t202 @t162))
% 1.51/1.77  (define @t679 () (@list true false false))
% 1.51/1.77  (define @t680 () (forall @t160 @t441))
% 1.51/1.77  (define @t681 () (forall @t151 (or (not (tptp.in @t139 @t546)) (not (forall @t146 (or (not (tptp.in @t140 @t546)) @t433 @t432))))))
% 1.51/1.77  (define @t682 () (not @t681))
% 1.51/1.77  (define @t683 () (tptp.element @t546 @t157))
% 1.51/1.77  (define @t684 () (not @t683))
% 1.51/1.77  (define @t685 () (or @t684 @t550 @t682))
% 1.51/1.77  (define @t686 () (and @t684 @t652 @t547))
% 1.51/1.77  (assume @p1 @t166)
% 1.51/1.77  (assume @p2 (exists @t160 (and @t169 @t167)))
% 1.51/1.77  (assume @p3 (forall @t160 (exists @t151 (and @t176 @t174 (tptp.relation @t139) (tptp.function @t139) (tptp.one_to_one @t139) @t173 @t172 @t171 (tptp.natural @t139) @t170))))
% 1.51/1.77  (assume @p4 (forall @t160 (=> @t169 (exists @t151 (and @t176 @t177 @t170)))))
% 1.51/1.77  (assume @p5 (forall @t160 (=> @t167 (forall @t151 (=> @t176 @t170)))))
% 1.51/1.77  (assume @p6 (forall @t160 (=> @t168 @t167)))
% 1.51/1.77  (assume @p7 (exists @t160 (and @t179 @t178)))
% 1.51/1.77  (assume @p8 (forall @t160 (=> @t168 @t178)))
% 1.51/1.77  (assume @p9 (exists @t160 @t180))
% 1.51/1.77  (assume @p10 (forall @t160 (=> @t180 @t182)))
% 1.51/1.77  (assume @p11 (exists @t160 @t182))
% 1.51/1.77  (assume @p12 (exists @t160 (and @t179 @t183 @t178)))
% 1.51/1.77  (assume @p13 (exists @t160 (and @t187 @t186 @t185 @t184)))
% 1.51/1.77  (assume @p14 (exists @t160 (and @t168 @t179)))
% 1.51/1.77  (assume @p15 (forall @t160 (=> @t168 @t179)))
% 1.51/1.77  (assume @p16 (exists @t160 (and @t169 @t179)))
% 1.51/1.77  (assume @p17 (exists @t160 (and @t179 @t183)))
% 1.51/1.77  (assume @p18 (forall @t160 (=> (and @t168 @t185) @t189)))
% 1.51/1.77  (assume @p19 (exists @t160 (and @t169 @t187 @t186 @t185 @t188)))
% 1.51/1.77  (assume @p20 (forall @t160 (=> (and @t185 @t188) (and @t194 @t193 @t192 @t191 (tptp.natural @t190)))))
% 1.51/1.77  (assume @p21 (forall @t160 (=> @t195 @t185)))
% 1.51/1.77  (assume @p22 (exists @t160 @t196))
% 1.51/1.77  (assume @p23 @t198)
% 1.51/1.77  (assume @p24 (forall @t160 (=> @t168 @t196)))
% 1.51/1.77  (assume @p25 (exists @t160 (and @t169 @t187 @t186 @t185)))
% 1.51/1.77  (assume @p26 (forall @t160 (=> @t169 (exists @t151 (and @t176 @t177)))))
% 1.51/1.77  (assume @p27 (forall @t160 (exists @t151 (and @t176 @t174))))
% 1.51/1.77  (assume @p28 (exists @t160 @t168))
% 1.51/1.77  (assume @p29 (exists @t160 @t169))
% 1.51/1.77  (assume @p30 (forall @t199 (tptp.subset @t142 @t142)))
% 1.51/1.77  (assume @p31 (forall @t199 (=> @t201 @t200)))
% 1.51/1.77  (assume @p32 true)
% 1.51/1.77  (assume @p33 (and (tptp.epsilon_transitive tptp.omega) (tptp.epsilon_connected tptp.omega) (tptp.ordinal tptp.omega) (not @t202)))
% 1.51/1.77  (assume @p34 (and @t204 @t203))
% 1.51/1.77  (assume @p35 (and @t204 @t203 @t205))
% 1.51/1.77  (assume @p36 (forall @t160 (=> @t185 (forall @t151 (=> @t206 (and @t173 @t172 @t171))))))
% 1.51/1.77  (assume @p37 (forall @t160 (=> (tptp.element @t142 tptp.omega) @t189)))
% 1.51/1.77  (assume @p38 (forall @t160 @t194))
% 1.51/1.77  (assume @p39 (forall @t160 (=> @t185 @t195)))
% 1.51/1.77  (assume @p40 (and @t203 @t205 (tptp.function tptp.empty_set) (tptp.one_to_one tptp.empty_set) @t204 (tptp.epsilon_transitive tptp.empty_set) (tptp.epsilon_connected tptp.empty_set) (tptp.ordinal tptp.empty_set)))
% 1.51/1.77  (assume @p41 (forall @t160 (=> @t185 (and @t194 @t193 @t192 @t191))))
% 1.51/1.77  (assume @p42 (forall @t160 (not (tptp.empty @t175))))
% 1.51/1.77  (assume @p43 @t204)
% 1.51/1.77  (assume @p44 @t267)
% 1.51/1.77  (assume @p45 (forall @t199 (= @t269 @t268)))
% 1.51/1.77  (assume @p46 (forall @t160 (= @t190 (tptp.set_union2 @t142 @t270))))
% 1.51/1.77  (assume @p47 (forall @t160 (exists @t151 @t206)))
% 1.51/1.77  (assume @p48 (forall @t160 (not (tptp.empty @t270))))
% 1.51/1.77  (assume @p49 (forall @t199 (=> @t169 (not (tptp.empty @t269)))))
% 1.51/1.77  (assume @p50 (forall @t199 (=> @t169 (not (tptp.empty @t268)))))
% 1.51/1.77  (assume @p51 (forall @t199 (= (tptp.set_union2 @t142 @t142) @t142)))
% 1.51/1.77  (assume @p52 (forall @t160 (tptp.in @t142 @t190)))
% 1.51/1.77  (assume @p53 (forall @t160 (= (tptp.set_union2 @t142 tptp.empty_set) @t142)))
% 1.51/1.77  (assume @p54 @t272)
% 1.51/1.77  (assume @p55 @t274)
% 1.51/1.77  (assume @p56 @t288)
% 1.51/1.77  (assume @p57 @t290)
% 1.51/1.77  (assume @p58 (forall @t199 (not (and @t201 @t174))))
% 1.51/1.77  (assume @p59 (forall @t199 (not (and @t168 (not (= @t142 @t139)) @t174))))
% 1.51/1.77  (step @p60 :rule aci_norm :args ((= @t301 @t299)))
% 1.51/1.77  (step @p61 :rule cong :premises (@p60) :args (@t303))
% 1.51/1.77  (step @p62 :rule quant-merge-prenex :args ((= (forall @t28 @t305) @t303)))
% 1.51/1.77  (step @p63 :rule alpha_equiv :args (@t306 (@list @t293) (@list @t4)))
% 1.51/1.77  (step @p64 :rule refl :args (@t297))
% 1.51/1.77  (step @p65 :rule refl :args (@t298))
% 1.51/1.77  (step @p66 :rule nary_cong :premises (@p65 @p64 @p63) :args (@t307))
% 1.51/1.77  (step @p67 :rule quant-miniscope-or :args ((= @t305 @t307)))
% 1.51/1.77  (step @p68 :rule trans :premises (@p67 @p66))
% 1.51/1.77  (step @p69 :rule symm :premises (@p68))
% 1.51/1.77  (step @p70 :rule cong :premises (@p69) :args ((forall @t28 @t317)))
% 1.51/1.77  (step @p71 :rule trans :premises (@p70 @p62))
% 1.51/1.77  (step @p72 :rule trans :premises (@p71 @p61))
% 1.51/1.77  (step @p73 :rule aci_norm :args ((= (or @t298 (or @t297 @t316)) @t317)))
% 1.51/1.77  (step @p74 :rule bool-impl-elim :args (@t24 @t316))
% 1.51/1.77  (step @p75 :rule nary_cong :premises (@p65 @p74) :args ((or @t298 @t318)))
% 1.51/1.77  (step @p76 :rule trans :premises (@p75 @p73))
% 1.51/1.77  (step @p77 :rule bool-impl-elim :args (@t26 @t318))
% 1.51/1.77  (step @p78 :rule trans :premises (@p77 @p76))
% 1.51/1.77  (step @p79 :rule cong :premises (@p78) :args ((forall @t28 (=> @t26 @t318))))
% 1.51/1.77  (step @p80 :rule trans :premises (@p79 @p72))
% 1.51/1.77  (step @p81 :rule aci_norm :args ((= (or @t314 (or @t313 @t312)) @t315)))
% 1.51/1.77  (step @p82 :rule refl :args (@t312))
% 1.51/1.77  (step @p83 :rule bool-double-not-elim :args (@t313))
% 1.51/1.77  (step @p84 :rule nary_cong :premises (@p83 @p82) :args ((or (not @t319) @t312)))
% 1.51/1.77  (step @p85 :rule bool-and-de-morgan :args (@t319 @t311 true))
% 1.51/1.77  (step @p86 :rule trans :premises (@p85 @p84))
% 1.51/1.77  (step @p87 :rule refl :args (@t314))
% 1.51/1.77  (step @p88 :rule nary_cong :premises (@p87 @p86) :args ((or @t314 @t320)))
% 1.51/1.77  (step @p89 :rule trans :premises (@p88 @p81))
% 1.51/1.77  (step @p90 :rule bool-impl-elim :args (@t20 @t320))
% 1.51/1.77  (step @p91 :rule trans :premises (@p90 @p89))
% 1.51/1.77  (step @p92 :rule cong :premises (@p91) :args ((forall @t22 (=> @t20 @t320))))
% 1.51/1.77  (step @p93 :rule bool-and-de-morgan :args (@t10 @t310 true))
% 1.51/1.77  (step @p94 :rule cong :premises (@p93) :args ((forall @t13 (not (and @t10 @t310)))))
% 1.51/1.77  (step @p95 :rule aci_norm :args ((= (or (or @t308 @t292) @t291) @t309)))
% 1.51/1.77  (step @p96 :rule refl :args (@t291))
% 1.51/1.77  (step @p97 :rule bool-and-de-morgan :args (@t5 @t3 true))
% 1.51/1.77  (step @p98 :rule nary_cong :premises (@p97 @p96) :args ((or (not @t6) @t291)))
% 1.51/1.77  (step @p99 :rule trans :premises (@p98 @p95))
% 1.51/1.77  (step @p100 :rule bool-impl-elim :args (@t6 @t291))
% 1.51/1.77  (step @p101 :rule trans :premises (@p100 @p99))
% 1.51/1.77  (step @p102 :rule cong :premises (@p101) :args ((forall @t8 (=> @t6 @t291))))
% 1.51/1.77  (step @p103 :rule eq-symm :args (@t2 @t1))
% 1.51/1.77  (step @p104 :rule refl :args (@t6))
% 1.51/1.77  (step @p105 :rule cong :premises (@p104 @p103) :args (@t7))
% 1.51/1.77  (step @p106 :rule cong :premises (@p105) :args (@t9))
% 1.51/1.77  (step @p107 :rule trans :premises (@p106 @p102))
% 1.51/1.77  (step @p108 :rule refl :args (@t10))
% 1.51/1.77  (step @p109 :rule nary_cong :premises (@p108 @p107) :args (@t11))
% 1.51/1.77  (step @p110 :rule cong :premises (@p109) :args (@t12))
% 1.51/1.77  (step @p111 :rule cong :premises (@p110) :args (@t14))
% 1.51/1.77  (step @p112 :rule trans :premises (@p111 @p94))
% 1.51/1.77  (step @p113 :rule eq-symm :args (@t4 tptp.empty_set))
% 1.51/1.77  (step @p114 :rule cong :premises (@p113) :args (@t15))
% 1.51/1.77  (step @p115 :rule nary_cong :premises (@p114 @p112) :args (@t16))
% 1.51/1.77  (step @p116 :rule cong :premises (@p115) :args (@t17))
% 1.51/1.77  (step @p117 :rule refl :args (@t20))
% 1.51/1.77  (step @p118 :rule cong :premises (@p117 @p116) :args (@t21))
% 1.51/1.77  (step @p119 :rule cong :premises (@p118) :args (@t23))
% 1.51/1.77  (step @p120 :rule trans :premises (@p119 @p92))
% 1.51/1.77  (step @p121 :rule refl :args (@t24))
% 1.51/1.77  (step @p122 :rule cong :premises (@p121 @p120) :args (@t25))
% 1.51/1.77  (step @p123 :rule refl :args (@t26))
% 1.51/1.77  (step @p124 :rule cong :premises (@p123 @p122) :args (@t27))
% 1.51/1.77  (step @p125 :rule cong :premises (@p124) :args (@t29))
% 1.51/1.77  (step @p126 :rule trans :premises (@p125 @p80))
% 1.51/1.77  (step @p127 :rule aci_norm :args ((= @t343 (or @t298 @t341 @t340 @t327 @t297 @t326 @t325 @t324))))
% 1.51/1.77  (step @p128 :rule cong :premises (@p127) :args (@t344))
% 1.51/1.77  (step @p129 :rule quant-merge-prenex :args ((= (forall @t28 @t346) @t344)))
% 1.51/1.77  (step @p130 :rule alpha_equiv :args (@t347 (@list @t323) (@list @t33)))
% 1.51/1.77  (step @p131 :rule refl :args (@t327))
% 1.51/1.77  (step @p132 :rule refl :args (@t340))
% 1.51/1.77  (step @p133 :rule refl :args (@t341))
% 1.51/1.77  (step @p134 :rule nary_cong :premises (@p65 @p133 @p132 @p131 @p64 @p130) :args (@t348))
% 1.51/1.77  (step @p135 :rule quant-miniscope-or :args ((= @t346 @t348)))
% 1.51/1.77  (step @p136 :rule trans :premises (@p135 @p134))
% 1.51/1.77  (step @p137 :rule symm :premises (@p136))
% 1.51/1.77  (step @p138 :rule cong :premises (@p137) :args ((forall @t28 @t358)))
% 1.51/1.77  (step @p139 :rule trans :premises (@p138 @p129))
% 1.51/1.77  (step @p140 :rule trans :premises (@p139 @p128))
% 1.51/1.77  (step @p141 :rule aci_norm :args ((= (or @t298 @t359) @t358)))
% 1.51/1.77  (step @p142 :rule aci_norm :args ((= (or (or @t341 @t340) @t360) @t359)))
% 1.51/1.77  (step @p143 :rule aci_norm :args ((= (or @t327 (or @t297 @t357)) @t360)))
% 1.51/1.77  (step @p144 :rule bool-impl-elim :args (@t24 @t357))
% 1.51/1.77  (step @p145 :rule nary_cong :premises (@p131 @p144) :args (@t361))
% 1.51/1.77  (step @p146 :rule trans :premises (@p145 @p143))
% 1.51/1.77  (step @p147 :rule bool-and-de-morgan :args (@t84 @t339 true))
% 1.51/1.77  (step @p148 :rule nary_cong :premises (@p147 @p146) :args ((or (not @t362) @t361)))
% 1.51/1.77  (step @p149 :rule trans :premises (@p148 @p142))
% 1.51/1.77  (step @p150 :rule bool-impl-elim :args (@t362 @t361))
% 1.51/1.77  (step @p151 :rule trans :premises (@p150 @p149))
% 1.51/1.77  (step @p152 :rule nary_cong :premises (@p65 @p151) :args ((or @t298 @t363)))
% 1.51/1.77  (step @p153 :rule trans :premises (@p152 @p141))
% 1.51/1.77  (step @p154 :rule bool-impl-elim :args (@t26 @t363))
% 1.51/1.77  (step @p155 :rule trans :premises (@p154 @p153))
% 1.51/1.77  (step @p156 :rule cong :premises (@p155) :args ((forall @t28 (=> @t26 @t363))))
% 1.51/1.77  (step @p157 :rule trans :premises (@p156 @p140))
% 1.51/1.77  (step @p158 :rule aci_norm :args ((= (or @t355 (or @t354 @t353)) @t356)))
% 1.51/1.77  (step @p159 :rule refl :args (@t353))
% 1.51/1.77  (step @p160 :rule bool-double-not-elim :args (@t354))
% 1.51/1.77  (step @p161 :rule nary_cong :premises (@p160 @p159) :args ((or (not @t364) @t353)))
% 1.51/1.77  (step @p162 :rule bool-and-de-morgan :args (@t364 @t352 true))
% 1.51/1.77  (step @p163 :rule trans :premises (@p162 @p161))
% 1.51/1.77  (step @p164 :rule refl :args (@t355))
% 1.51/1.77  (step @p165 :rule nary_cong :premises (@p164 @p163) :args ((or @t355 @t365)))
% 1.51/1.77  (step @p166 :rule trans :premises (@p165 @p158))
% 1.51/1.77  (step @p167 :rule bool-impl-elim :args (@t47 @t365))
% 1.51/1.77  (step @p168 :rule trans :premises (@p167 @p166))
% 1.51/1.77  (step @p169 :rule cong :premises (@p168) :args ((forall @t49 (=> @t47 @t365))))
% 1.51/1.77  (step @p170 :rule bool-and-de-morgan :args (@t39 @t351 true))
% 1.51/1.77  (step @p171 :rule cong :premises (@p170) :args ((forall @t42 (not (and @t39 @t351)))))
% 1.51/1.77  (step @p172 :rule aci_norm :args ((= (or (or @t349 @t322) @t321) @t350)))
% 1.51/1.77  (step @p173 :rule refl :args (@t321))
% 1.51/1.77  (step @p174 :rule bool-and-de-morgan :args (@t34 @t32 true))
% 1.51/1.77  (step @p175 :rule nary_cong :premises (@p174 @p173) :args ((or (not @t35) @t321)))
% 1.51/1.77  (step @p176 :rule trans :premises (@p175 @p172))
% 1.51/1.77  (step @p177 :rule bool-impl-elim :args (@t35 @t321))
% 1.51/1.77  (step @p178 :rule trans :premises (@p177 @p176))
% 1.51/1.77  (step @p179 :rule cong :premises (@p178) :args ((forall @t37 (=> @t35 @t321))))
% 1.51/1.77  (step @p180 :rule eq-symm :args (@t31 @t30))
% 1.51/1.77  (step @p181 :rule refl :args (@t35))
% 1.51/1.77  (step @p182 :rule cong :premises (@p181 @p180) :args (@t36))
% 1.51/1.77  (step @p183 :rule cong :premises (@p182) :args (@t38))
% 1.51/1.77  (step @p184 :rule trans :premises (@p183 @p179))
% 1.51/1.77  (step @p185 :rule refl :args (@t39))
% 1.51/1.77  (step @p186 :rule nary_cong :premises (@p185 @p184) :args (@t40))
% 1.51/1.77  (step @p187 :rule cong :premises (@p186) :args (@t41))
% 1.51/1.77  (step @p188 :rule cong :premises (@p187) :args (@t43))
% 1.51/1.77  (step @p189 :rule trans :premises (@p188 @p171))
% 1.51/1.77  (step @p190 :rule eq-symm :args (@t33 tptp.empty_set))
% 1.51/1.77  (step @p191 :rule cong :premises (@p190) :args (@t44))
% 1.51/1.77  (step @p192 :rule nary_cong :premises (@p191 @p189) :args (@t45))
% 1.51/1.77  (step @p193 :rule cong :premises (@p192) :args (@t46))
% 1.51/1.77  (step @p194 :rule refl :args (@t47))
% 1.51/1.77  (step @p195 :rule cong :premises (@p194 @p193) :args (@t48))
% 1.51/1.77  (step @p196 :rule cong :premises (@p195) :args (@t50))
% 1.51/1.77  (step @p197 :rule trans :premises (@p196 @p169))
% 1.51/1.77  (step @p198 :rule cong :premises (@p121 @p197) :args (@t51))
% 1.51/1.77  (step @p199 :rule eq-symm :args (@t18 tptp.empty_set))
% 1.51/1.77  (step @p200 :rule nary_cong :premises (@p199 @p198) :args (@t52))
% 1.51/1.77  (step @p201 :rule aci_norm :args ((= @t367 @t337)))
% 1.51/1.77  (step @p202 :rule cong :premises (@p201) :args (@t368))
% 1.51/1.77  (step @p203 :rule quant-merge-prenex :args ((= (forall @t82 @t370) @t368)))
% 1.51/1.77  (step @p204 :rule alpha_equiv :args (@t371 (@list @t330) (@list @t56)))
% 1.51/1.77  (step @p205 :rule refl :args (@t334))
% 1.51/1.77  (step @p206 :rule refl :args (@t335))
% 1.51/1.77  (step @p207 :rule refl :args (@t336))
% 1.51/1.77  (step @p208 :rule nary_cong :premises (@p207 @p206 @p205 @p204) :args (@t372))
% 1.51/1.77  (step @p209 :rule quant-miniscope-or :args ((= @t370 @t372)))
% 1.51/1.77  (step @p210 :rule trans :premises (@p209 @p208))
% 1.51/1.77  (step @p211 :rule symm :premises (@p210))
% 1.51/1.77  (step @p212 :rule cong :premises (@p211) :args ((forall @t82 @t382)))
% 1.51/1.77  (step @p213 :rule trans :premises (@p212 @p203))
% 1.51/1.77  (step @p214 :rule trans :premises (@p213 @p202))
% 1.51/1.77  (step @p215 :rule aci_norm :args ((= (or @t336 @t383) @t382)))
% 1.51/1.77  (step @p216 :rule aci_norm :args ((= (or @t335 (or @t334 @t381)) @t383)))
% 1.51/1.77  (step @p217 :rule bool-impl-elim :args (@t76 @t381))
% 1.51/1.77  (step @p218 :rule nary_cong :premises (@p206 @p217) :args ((or @t335 @t384)))
% 1.51/1.77  (step @p219 :rule trans :premises (@p218 @p216))
% 1.51/1.77  (step @p220 :rule bool-impl-elim :args (@t78 @t384))
% 1.51/1.77  (step @p221 :rule trans :premises (@p220 @p219))
% 1.51/1.77  (step @p222 :rule nary_cong :premises (@p207 @p221) :args ((or @t336 @t385)))
% 1.51/1.77  (step @p223 :rule trans :premises (@p222 @p215))
% 1.51/1.77  (step @p224 :rule bool-impl-elim :args (@t80 @t385))
% 1.51/1.77  (step @p225 :rule trans :premises (@p224 @p223))
% 1.51/1.77  (step @p226 :rule cong :premises (@p225) :args ((forall @t82 (=> @t80 @t385))))
% 1.51/1.77  (step @p227 :rule trans :premises (@p226 @p214))
% 1.51/1.77  (step @p228 :rule aci_norm :args ((= (or @t379 (or @t378 @t377)) @t380)))
% 1.51/1.77  (step @p229 :rule refl :args (@t377))
% 1.51/1.77  (step @p230 :rule bool-double-not-elim :args (@t378))
% 1.51/1.77  (step @p231 :rule nary_cong :premises (@p230 @p229) :args ((or (not @t386) @t377)))
% 1.51/1.77  (step @p232 :rule bool-and-de-morgan :args (@t386 @t376 true))
% 1.51/1.77  (step @p233 :rule trans :premises (@p232 @p231))
% 1.51/1.77  (step @p234 :rule refl :args (@t379))
% 1.51/1.77  (step @p235 :rule nary_cong :premises (@p234 @p233) :args ((or @t379 @t387)))
% 1.51/1.77  (step @p236 :rule trans :premises (@p235 @p228))
% 1.51/1.77  (step @p237 :rule bool-impl-elim :args (@t72 @t387))
% 1.51/1.77  (step @p238 :rule trans :premises (@p237 @p236))
% 1.51/1.77  (step @p239 :rule cong :premises (@p238) :args ((forall @t74 (=> @t72 @t387))))
% 1.51/1.77  (step @p240 :rule bool-and-de-morgan :args (@t62 @t375 true))
% 1.51/1.77  (step @p241 :rule cong :premises (@p240) :args ((forall @t65 (not (and @t62 @t375)))))
% 1.51/1.77  (step @p242 :rule aci_norm :args ((= (or (or @t373 @t329) @t328) @t374)))
% 1.51/1.77  (step @p243 :rule refl :args (@t328))
% 1.51/1.77  (step @p244 :rule bool-and-de-morgan :args (@t57 @t55 true))
% 1.51/1.77  (step @p245 :rule nary_cong :premises (@p244 @p243) :args ((or (not @t58) @t328)))
% 1.51/1.77  (step @p246 :rule trans :premises (@p245 @p242))
% 1.51/1.77  (step @p247 :rule bool-impl-elim :args (@t58 @t328))
% 1.51/1.77  (step @p248 :rule trans :premises (@p247 @p246))
% 1.51/1.77  (step @p249 :rule cong :premises (@p248) :args ((forall @t60 (=> @t58 @t328))))
% 1.51/1.77  (step @p250 :rule eq-symm :args (@t54 @t53))
% 1.51/1.77  (step @p251 :rule refl :args (@t58))
% 1.51/1.77  (step @p252 :rule cong :premises (@p251 @p250) :args (@t59))
% 1.51/1.77  (step @p253 :rule cong :premises (@p252) :args (@t61))
% 1.51/1.77  (step @p254 :rule trans :premises (@p253 @p249))
% 1.51/1.77  (step @p255 :rule refl :args (@t62))
% 1.51/1.77  (step @p256 :rule nary_cong :premises (@p255 @p254) :args (@t63))
% 1.51/1.77  (step @p257 :rule cong :premises (@p256) :args (@t64))
% 1.51/1.77  (step @p258 :rule cong :premises (@p257) :args (@t66))
% 1.51/1.77  (step @p259 :rule trans :premises (@p258 @p241))
% 1.51/1.77  (step @p260 :rule eq-symm :args (@t56 tptp.empty_set))
% 1.51/1.77  (step @p261 :rule cong :premises (@p260) :args (@t67))
% 1.51/1.77  (step @p262 :rule nary_cong :premises (@p261 @p259) :args (@t68))
% 1.51/1.77  (step @p263 :rule cong :premises (@p262) :args (@t69))
% 1.51/1.77  (step @p264 :rule refl :args (@t72))
% 1.51/1.77  (step @p265 :rule cong :premises (@p264 @p263) :args (@t73))
% 1.51/1.77  (step @p266 :rule cong :premises (@p265) :args (@t75))
% 1.51/1.77  (step @p267 :rule trans :premises (@p266 @p239))
% 1.51/1.77  (step @p268 :rule refl :args (@t76))
% 1.51/1.77  (step @p269 :rule cong :premises (@p268 @p267) :args (@t77))
% 1.51/1.77  (step @p270 :rule refl :args (@t78))
% 1.51/1.77  (step @p271 :rule cong :premises (@p270 @p269) :args (@t79))
% 1.51/1.77  (step @p272 :rule refl :args (@t80))
% 1.51/1.77  (step @p273 :rule cong :premises (@p272 @p271) :args (@t81))
% 1.51/1.77  (step @p274 :rule cong :premises (@p273) :args (@t83))
% 1.51/1.77  (step @p275 :rule trans :premises (@p274 @p227))
% 1.51/1.77  (step @p276 :rule refl :args (@t84))
% 1.51/1.77  (step @p277 :rule nary_cong :premises (@p276 @p275) :args (@t85))
% 1.51/1.77  (step @p278 :rule cong :premises (@p277 @p200) :args (@t86))
% 1.51/1.77  (step @p279 :rule cong :premises (@p123 @p278) :args (@t87))
% 1.51/1.77  (step @p280 :rule cong :premises (@p279) :args (@t88))
% 1.51/1.77  (step @p281 :rule trans :premises (@p280 @p157))
% 1.51/1.77  (step @p282 :rule aci_norm :args ((= @t408 (or @t298 @t406 @t394 @t393 @t392 @t391))))
% 1.51/1.77  (step @p283 :rule cong :premises (@p282) :args (@t409))
% 1.51/1.77  (step @p284 :rule quant-merge-prenex :args ((= (forall @t28 @t411) @t409)))
% 1.51/1.77  (step @p285 :rule alpha_equiv :args (@t412 (@list @t390) (@list @t92)))
% 1.51/1.77  (step @p286 :rule refl :args (@t394))
% 1.51/1.77  (step @p287 :rule refl :args (@t406))
% 1.51/1.77  (step @p288 :rule nary_cong :premises (@p65 @p287 @p286 @p285) :args (@t413))
% 1.51/1.77  (step @p289 :rule quant-miniscope-or :args ((= @t411 @t413)))
% 1.51/1.77  (step @p290 :rule trans :premises (@p289 @p288))
% 1.51/1.77  (step @p291 :rule symm :premises (@p290))
% 1.51/1.77  (step @p292 :rule cong :premises (@p291) :args ((forall @t28 @t423)))
% 1.51/1.77  (step @p293 :rule trans :premises (@p292 @p284))
% 1.51/1.77  (step @p294 :rule trans :premises (@p293 @p283))
% 1.51/1.77  (step @p295 :rule aci_norm :args ((= (or @t298 @t424) @t423)))
% 1.51/1.77  (step @p296 :rule aci_norm :args ((= (or @t406 (or @t394 @t422)) @t424)))
% 1.51/1.77  (step @p297 :rule bool-impl-elim :args (@t112 @t422))
% 1.51/1.77  (step @p298 :rule bool-implies-de-morgan :args (@t24 @t405))
% 1.51/1.77  (step @p299 :rule nary_cong :premises (@p298 @p297) :args ((or (not @t426) @t425)))
% 1.51/1.77  (step @p300 :rule trans :premises (@p299 @p296))
% 1.51/1.77  (step @p301 :rule bool-impl-elim :args (@t426 @t425))
% 1.51/1.77  (step @p302 :rule trans :premises (@p301 @p300))
% 1.51/1.77  (step @p303 :rule nary_cong :premises (@p65 @p302) :args ((or @t298 @t427)))
% 1.51/1.77  (step @p304 :rule trans :premises (@p303 @p295))
% 1.51/1.77  (step @p305 :rule bool-impl-elim :args (@t26 @t427))
% 1.51/1.77  (step @p306 :rule trans :premises (@p305 @p304))
% 1.51/1.77  (step @p307 :rule cong :premises (@p306) :args ((forall @t28 (=> @t26 @t427))))
% 1.51/1.77  (step @p308 :rule trans :premises (@p307 @p294))
% 1.51/1.77  (step @p309 :rule aci_norm :args ((= (or @t420 (or @t419 @t418)) @t421)))
% 1.51/1.77  (step @p310 :rule refl :args (@t418))
% 1.51/1.77  (step @p311 :rule bool-double-not-elim :args (@t419))
% 1.51/1.77  (step @p312 :rule nary_cong :premises (@p311 @p310) :args ((or (not @t428) @t418)))
% 1.51/1.77  (step @p313 :rule bool-and-de-morgan :args (@t428 @t417 true))
% 1.51/1.77  (step @p314 :rule trans :premises (@p313 @p312))
% 1.51/1.77  (step @p315 :rule refl :args (@t420))
% 1.51/1.77  (step @p316 :rule nary_cong :premises (@p315 @p314) :args ((or @t420 @t429)))
% 1.51/1.77  (step @p317 :rule trans :premises (@p316 @p309))
% 1.51/1.77  (step @p318 :rule bool-impl-elim :args (@t108 @t429))
% 1.51/1.77  (step @p319 :rule trans :premises (@p318 @p317))
% 1.51/1.77  (step @p320 :rule cong :premises (@p319) :args ((forall @t110 (=> @t108 @t429))))
% 1.51/1.77  (step @p321 :rule bool-and-de-morgan :args (@t98 @t416 true))
% 1.51/1.77  (step @p322 :rule cong :premises (@p321) :args ((forall @t101 (not (and @t98 @t416)))))
% 1.51/1.77  (step @p323 :rule aci_norm :args ((= (or (or @t414 @t389) @t388) @t415)))
% 1.51/1.77  (step @p324 :rule refl :args (@t388))
% 1.51/1.77  (step @p325 :rule bool-and-de-morgan :args (@t93 @t91 true))
% 1.51/1.77  (step @p326 :rule nary_cong :premises (@p325 @p324) :args ((or (not @t94) @t388)))
% 1.51/1.77  (step @p327 :rule trans :premises (@p326 @p323))
% 1.51/1.77  (step @p328 :rule bool-impl-elim :args (@t94 @t388))
% 1.51/1.77  (step @p329 :rule trans :premises (@p328 @p327))
% 1.51/1.77  (step @p330 :rule cong :premises (@p329) :args ((forall @t96 (=> @t94 @t388))))
% 1.51/1.77  (step @p331 :rule eq-symm :args (@t90 @t89))
% 1.51/1.77  (step @p332 :rule refl :args (@t94))
% 1.51/1.77  (step @p333 :rule cong :premises (@p332 @p331) :args (@t95))
% 1.51/1.77  (step @p334 :rule cong :premises (@p333) :args (@t97))
% 1.51/1.77  (step @p335 :rule trans :premises (@p334 @p330))
% 1.51/1.77  (step @p336 :rule refl :args (@t98))
% 1.51/1.77  (step @p337 :rule nary_cong :premises (@p336 @p335) :args (@t99))
% 1.51/1.77  (step @p338 :rule cong :premises (@p337) :args (@t100))
% 1.51/1.77  (step @p339 :rule cong :premises (@p338) :args (@t102))
% 1.51/1.77  (step @p340 :rule trans :premises (@p339 @p322))
% 1.51/1.77  (step @p341 :rule eq-symm :args (@t92 tptp.empty_set))
% 1.51/1.77  (step @p342 :rule cong :premises (@p341) :args (@t103))
% 1.51/1.77  (step @p343 :rule nary_cong :premises (@p342 @p340) :args (@t104))
% 1.51/1.77  (step @p344 :rule cong :premises (@p343) :args (@t105))
% 1.51/1.77  (step @p345 :rule refl :args (@t108))
% 1.51/1.77  (step @p346 :rule cong :premises (@p345 @p344) :args (@t109))
% 1.51/1.77  (step @p347 :rule cong :premises (@p346) :args (@t111))
% 1.51/1.77  (step @p348 :rule trans :premises (@p347 @p320))
% 1.51/1.77  (step @p349 :rule refl :args (@t112))
% 1.51/1.77  (step @p350 :rule cong :premises (@p349 @p348) :args (@t113))
% 1.51/1.77  (step @p351 :rule aci_norm :args ((= (or @t403 (or @t402 @t401)) @t404)))
% 1.51/1.77  (step @p352 :rule refl :args (@t401))
% 1.51/1.77  (step @p353 :rule bool-double-not-elim :args (@t402))
% 1.51/1.77  (step @p354 :rule nary_cong :premises (@p353 @p352) :args ((or (not @t430) @t401)))
% 1.51/1.77  (step @p355 :rule bool-and-de-morgan :args (@t430 @t400 true))
% 1.51/1.77  (step @p356 :rule trans :premises (@p355 @p354))
% 1.51/1.77  (step @p357 :rule refl :args (@t403))
% 1.51/1.77  (step @p358 :rule nary_cong :premises (@p357 @p356) :args ((or @t403 @t431)))
% 1.51/1.77  (step @p359 :rule trans :premises (@p358 @p351))
% 1.51/1.77  (step @p360 :rule bool-impl-elim :args (@t131 @t431))
% 1.51/1.77  (step @p361 :rule trans :premises (@p360 @p359))
% 1.51/1.77  (step @p362 :rule cong :premises (@p361) :args ((forall @t133 (=> @t131 @t431))))
% 1.51/1.77  (step @p363 :rule bool-and-de-morgan :args (@t123 @t399 true))
% 1.51/1.77  (step @p364 :rule cong :premises (@p363) :args ((forall @t126 (not (and @t123 @t399)))))
% 1.51/1.77  (step @p365 :rule aci_norm :args ((= (or (or @t397 @t396) @t395) @t398)))
% 1.51/1.77  (step @p366 :rule refl :args (@t395))
% 1.51/1.77  (step @p367 :rule bool-and-de-morgan :args (@t118 @t116 true))
% 1.51/1.77  (step @p368 :rule nary_cong :premises (@p367 @p366) :args ((or (not @t119) @t395)))
% 1.51/1.77  (step @p369 :rule trans :premises (@p368 @p365))
% 1.51/1.77  (step @p370 :rule bool-impl-elim :args (@t119 @t395))
% 1.51/1.77  (step @p371 :rule trans :premises (@p370 @p369))
% 1.51/1.77  (step @p372 :rule cong :premises (@p371) :args ((forall @t121 (=> @t119 @t395))))
% 1.51/1.77  (step @p373 :rule eq-symm :args (@t115 @t114))
% 1.51/1.77  (step @p374 :rule refl :args (@t119))
% 1.51/1.77  (step @p375 :rule cong :premises (@p374 @p373) :args (@t120))
% 1.51/1.77  (step @p376 :rule cong :premises (@p375) :args (@t122))
% 1.51/1.77  (step @p377 :rule trans :premises (@p376 @p372))
% 1.51/1.77  (step @p378 :rule refl :args (@t123))
% 1.51/1.77  (step @p379 :rule nary_cong :premises (@p378 @p377) :args (@t124))
% 1.51/1.77  (step @p380 :rule cong :premises (@p379) :args (@t125))
% 1.51/1.77  (step @p381 :rule cong :premises (@p380) :args (@t127))
% 1.51/1.77  (step @p382 :rule trans :premises (@p381 @p364))
% 1.51/1.77  (step @p383 :rule eq-symm :args (@t117 tptp.empty_set))
% 1.51/1.77  (step @p384 :rule cong :premises (@p383) :args (@t128))
% 1.51/1.77  (step @p385 :rule nary_cong :premises (@p384 @p382) :args (@t129))
% 1.51/1.77  (step @p386 :rule cong :premises (@p385) :args (@t130))
% 1.51/1.77  (step @p387 :rule refl :args (@t131))
% 1.51/1.77  (step @p388 :rule cong :premises (@p387 @p386) :args (@t132))
% 1.51/1.77  (step @p389 :rule cong :premises (@p388) :args (@t134))
% 1.51/1.77  (step @p390 :rule trans :premises (@p389 @p362))
% 1.51/1.77  (step @p391 :rule cong :premises (@p121 @p390) :args (@t135))
% 1.51/1.77  (step @p392 :rule cong :premises (@p391 @p350) :args (@t136))
% 1.51/1.77  (step @p393 :rule cong :premises (@p123 @p392) :args (@t137))
% 1.51/1.77  (step @p394 :rule cong :premises (@p393) :args (@t138))
% 1.51/1.77  (step @p395 :rule trans :premises (@p394 @p308))
% 1.51/1.77  (step @p396 :rule aci_norm :args ((= (or @t440 (or @t439 @t438)) @t441)))
% 1.51/1.77  (step @p397 :rule refl :args (@t438))
% 1.51/1.77  (step @p398 :rule bool-double-not-elim :args (@t439))
% 1.51/1.77  (step @p399 :rule nary_cong :premises (@p398 @p397) :args ((or (not @t442) @t438)))
% 1.51/1.77  (step @p400 :rule bool-and-de-morgan :args (@t442 @t437 true))
% 1.51/1.77  (step @p401 :rule trans :premises (@p400 @p399))
% 1.51/1.77  (step @p402 :rule refl :args (@t440))
% 1.51/1.77  (step @p403 :rule nary_cong :premises (@p402 @p401) :args ((or @t440 @t443)))
% 1.51/1.77  (step @p404 :rule trans :premises (@p403 @p396))
% 1.51/1.77  (step @p405 :rule bool-impl-elim :args (@t158 @t443))
% 1.51/1.77  (step @p406 :rule trans :premises (@p405 @p404))
% 1.51/1.77  (step @p407 :rule cong :premises (@p406) :args ((forall @t160 (=> @t158 @t443))))
% 1.51/1.77  (step @p408 :rule bool-and-de-morgan :args (@t148 @t436 true))
% 1.51/1.77  (step @p409 :rule cong :premises (@p408) :args ((forall @t151 (not (and @t148 @t436)))))
% 1.51/1.77  (step @p410 :rule aci_norm :args ((= (or (or @t434 @t433) @t432) @t435)))
% 1.51/1.77  (step @p411 :rule refl :args (@t432))
% 1.51/1.77  (step @p412 :rule bool-and-de-morgan :args (@t143 @t141 true))
% 1.51/1.77  (step @p413 :rule nary_cong :premises (@p412 @p411) :args ((or (not @t144) @t432)))
% 1.51/1.77  (step @p414 :rule trans :premises (@p413 @p410))
% 1.51/1.77  (step @p415 :rule bool-impl-elim :args (@t144 @t432))
% 1.51/1.77  (step @p416 :rule trans :premises (@p415 @p414))
% 1.51/1.77  (step @p417 :rule cong :premises (@p416) :args ((forall @t146 (=> @t144 @t432))))
% 1.51/1.77  (step @p418 :rule eq-symm :args (@t140 @t139))
% 1.51/1.77  (step @p419 :rule refl :args (@t144))
% 1.51/1.77  (step @p420 :rule cong :premises (@p419 @p418) :args (@t145))
% 1.51/1.77  (step @p421 :rule cong :premises (@p420) :args (@t147))
% 1.51/1.77  (step @p422 :rule trans :premises (@p421 @p417))
% 1.51/1.77  (step @p423 :rule refl :args (@t148))
% 1.51/1.77  (step @p424 :rule nary_cong :premises (@p423 @p422) :args (@t149))
% 1.51/1.77  (step @p425 :rule cong :premises (@p424) :args (@t150))
% 1.51/1.77  (step @p426 :rule cong :premises (@p425) :args (@t152))
% 1.51/1.77  (step @p427 :rule trans :premises (@p426 @p409))
% 1.51/1.77  (step @p428 :rule eq-symm :args (@t142 tptp.empty_set))
% 1.51/1.77  (step @p429 :rule cong :premises (@p428) :args (@t154))
% 1.51/1.77  (step @p430 :rule nary_cong :premises (@p429 @p427) :args (@t155))
% 1.51/1.77  (step @p431 :rule cong :premises (@p430) :args (@t156))
% 1.51/1.77  (step @p432 :rule refl :args (@t158))
% 1.51/1.77  (step @p433 :rule cong :premises (@p432 @p431) :args (@t159))
% 1.51/1.77  (step @p434 :rule cong :premises (@p433) :args (@t161))
% 1.51/1.77  (step @p435 :rule trans :premises (@p434 @p407))
% 1.51/1.77  (step @p436 :rule refl :args (@t162))
% 1.51/1.77  (step @p437 :rule cong :premises (@p436 @p435) :args (@t163))
% 1.51/1.77  (step @p438 :rule nary_cong :premises (@p437 @p395 @p281) :args (@t164))
% 1.51/1.77  (step @p439 :rule cong :premises (@p438 @p126) :args (@t165))
% 1.51/1.77  (step @p440 :rule cong :premises (@p439) :args (@t166))
% 1.51/1.77  (step @p441 :rule eq_resolve :premises (@p1 @p440))
% 1.51/1.77  (step @p442 :rule not_implies_elim2 :premises (@p441))
% 1.51/1.77  (step @p443 :rule alpha_equiv :args (@t444 (@list @t293 @t1 @t2 @t18) (@list @t445 @t90 @t70 @t142)))
% 1.51/1.77  (step @p444 :rule equiv_elim2 :premises (@p443))
% 1.51/1.77  (step @p445 :rule chain_m_resolution :premises (@p444 @p442) :args ((not @t455) @t456 (@list @t444)))
% 1.51/1.77  (step @p446 :rule aci_norm :args ((= @t458 @t453)))
% 1.51/1.77  (step @p447 :rule cong :premises (@p446) :args (@t459))
% 1.51/1.77  (step @p448 :rule quant-merge-prenex :args ((= (forall @t160 @t461) @t459)))
% 1.51/1.77  (step @p449 :rule alpha_equiv :args (@t462 (@list @t445) (@list @t89)))
% 1.51/1.77  (step @p450 :rule refl :args (@t451))
% 1.51/1.77  (step @p451 :rule refl :args (@t452))
% 1.51/1.77  (step @p452 :rule nary_cong :premises (@p451 @p450 @p449) :args (@t463))
% 1.51/1.77  (step @p453 :rule quant-miniscope-or :args ((= @t461 @t463)))
% 1.51/1.77  (step @p454 :rule trans :premises (@p453 @p452))
% 1.51/1.77  (step @p455 :rule symm :premises (@p454))
% 1.51/1.77  (step @p456 :rule cong :premises (@p455) :args ((forall @t160 @t473)))
% 1.51/1.77  (step @p457 :rule trans :premises (@p456 @p448))
% 1.51/1.77  (step @p458 :rule trans :premises (@p457 @p447))
% 1.51/1.77  (step @p459 :rule aci_norm :args ((= (or @t452 (or @t451 @t472)) @t473)))
% 1.51/1.77  (step @p460 :rule bool-impl-elim :args (@t223 @t472))
% 1.51/1.77  (step @p461 :rule nary_cong :premises (@p451 @p460) :args ((or @t452 @t474)))
% 1.51/1.77  (step @p462 :rule trans :premises (@p461 @p459))
% 1.51/1.77  (step @p463 :rule bool-impl-elim :args (@t185 @t474))
% 1.51/1.77  (step @p464 :rule trans :premises (@p463 @p462))
% 1.51/1.77  (step @p465 :rule cong :premises (@p464) :args ((forall @t160 (=> @t185 @t474))))
% 1.51/1.77  (step @p466 :rule trans :premises (@p465 @p458))
% 1.51/1.77  (step @p467 :rule aci_norm :args ((= (or @t470 (or @t469 @t468)) @t471)))
% 1.51/1.77  (step @p468 :rule refl :args (@t468))
% 1.51/1.77  (step @p469 :rule bool-double-not-elim :args (@t469))
% 1.51/1.77  (step @p470 :rule nary_cong :premises (@p469 @p468) :args ((or (not @t475) @t468)))
% 1.51/1.77  (step @p471 :rule bool-and-de-morgan :args (@t475 @t467 true))
% 1.51/1.77  (step @p472 :rule trans :premises (@p471 @p470))
% 1.51/1.77  (step @p473 :rule refl :args (@t470))
% 1.51/1.77  (step @p474 :rule nary_cong :premises (@p473 @p472) :args ((or @t470 @t476)))
% 1.51/1.77  (step @p475 :rule trans :premises (@p474 @p467))
% 1.51/1.77  (step @p476 :rule bool-impl-elim :args (@t220 @t476))
% 1.51/1.77  (step @p477 :rule trans :premises (@p476 @p475))
% 1.51/1.77  (step @p478 :rule cong :premises (@p477) :args ((forall @t101 (=> @t220 @t476))))
% 1.51/1.77  (step @p479 :rule bool-and-de-morgan :args (@t212 @t466 true))
% 1.51/1.77  (step @p480 :rule cong :premises (@p479) :args ((forall @t96 (not (and @t212 @t466)))))
% 1.51/1.77  (step @p481 :rule aci_norm :args ((= (or (or @t464 @t447) @t446) @t465)))
% 1.51/1.77  (step @p482 :rule refl :args (@t446))
% 1.51/1.77  (step @p483 :rule bool-and-de-morgan :args (@t208 @t207 true))
% 1.51/1.77  (step @p484 :rule nary_cong :premises (@p483 @p482) :args ((or (not @t209) @t446)))
% 1.51/1.77  (step @p485 :rule trans :premises (@p484 @p481))
% 1.51/1.77  (step @p486 :rule bool-impl-elim :args (@t209 @t446))
% 1.51/1.77  (step @p487 :rule trans :premises (@p486 @p485))
% 1.51/1.77  (step @p488 :rule cong :premises (@p487) :args ((forall @t82 (=> @t209 @t446))))
% 1.51/1.77  (step @p489 :rule eq-symm :args (@t70 @t90))
% 1.51/1.77  (step @p490 :rule refl :args (@t209))
% 1.51/1.77  (step @p491 :rule cong :premises (@p490 @p489) :args (@t210))
% 1.51/1.77  (step @p492 :rule cong :premises (@p491) :args (@t211))
% 1.51/1.77  (step @p493 :rule trans :premises (@p492 @p488))
% 1.51/1.77  (step @p494 :rule refl :args (@t212))
% 1.51/1.77  (step @p495 :rule nary_cong :premises (@p494 @p493) :args (@t213))
% 1.51/1.77  (step @p496 :rule cong :premises (@p495) :args (@t214))
% 1.51/1.77  (step @p497 :rule cong :premises (@p496) :args (@t215))
% 1.51/1.77  (step @p498 :rule trans :premises (@p497 @p480))
% 1.51/1.77  (step @p499 :rule eq-symm :args (@t89 tptp.empty_set))
% 1.51/1.77  (step @p500 :rule cong :premises (@p499) :args (@t216))
% 1.51/1.77  (step @p501 :rule nary_cong :premises (@p500 @p498) :args (@t217))
% 1.51/1.77  (step @p502 :rule cong :premises (@p501) :args (@t218))
% 1.51/1.77  (step @p503 :rule refl :args (@t220))
% 1.51/1.77  (step @p504 :rule cong :premises (@p503 @p502) :args (@t221))
% 1.51/1.77  (step @p505 :rule cong :premises (@p504) :args (@t222))
% 1.51/1.77  (step @p506 :rule trans :premises (@p505 @p478))
% 1.51/1.77  (step @p507 :rule refl :args (@t223))
% 1.51/1.77  (step @p508 :rule cong :premises (@p507 @p506) :args (@t224))
% 1.51/1.77  (step @p509 :rule refl :args (@t185))
% 1.51/1.77  (step @p510 :rule cong :premises (@p509 @p508) :args (@t225))
% 1.51/1.77  (step @p511 :rule cong :premises (@p510) :args (@t226))
% 1.51/1.77  (step @p512 :rule trans :premises (@p511 @p466))
% 1.51/1.77  (step @p513 :rule aci_norm :args ((= @t497 @t495)))
% 1.51/1.77  (step @p514 :rule cong :premises (@p513) :args (@t499))
% 1.51/1.77  (step @p515 :rule quant-merge-prenex :args ((= (forall @t160 @t501) @t499)))
% 1.51/1.77  (step @p516 :rule alpha_equiv :args (@t502 (@list @t479) (@list @t114)))
% 1.51/1.77  (step @p517 :rule refl :args (@t494))
% 1.51/1.77  (step @p518 :rule nary_cong :premises (@p451 @p517 @p450 @p516) :args (@t503))
% 1.51/1.77  (step @p519 :rule quant-miniscope-or :args ((= @t501 @t503)))
% 1.51/1.77  (step @p520 :rule trans :premises (@p519 @p518))
% 1.51/1.77  (step @p521 :rule symm :premises (@p520))
% 1.51/1.77  (step @p522 :rule cong :premises (@p521) :args ((forall @t160 @t513)))
% 1.51/1.77  (step @p523 :rule trans :premises (@p522 @p515))
% 1.51/1.77  (step @p524 :rule trans :premises (@p523 @p514))
% 1.51/1.77  (step @p525 :rule aci_norm :args ((= (or @t452 @t514) @t513)))
% 1.51/1.77  (step @p526 :rule aci_norm :args ((= (or @t494 (or @t451 @t512)) @t514)))
% 1.51/1.77  (step @p527 :rule bool-impl-elim :args (@t223 @t512))
% 1.51/1.77  (step @p528 :rule nary_cong :premises (@p517 @p527) :args ((or @t494 @t515)))
% 1.51/1.77  (step @p529 :rule trans :premises (@p528 @p526))
% 1.51/1.77  (step @p530 :rule bool-impl-elim :args (@t493 @t515))
% 1.51/1.77  (step @p531 :rule trans :premises (@p530 @p529))
% 1.51/1.77  (step @p532 :rule nary_cong :premises (@p451 @p531) :args ((or @t452 @t516)))
% 1.51/1.77  (step @p533 :rule trans :premises (@p532 @p525))
% 1.51/1.77  (step @p534 :rule bool-impl-elim :args (@t185 @t516))
% 1.51/1.77  (step @p535 :rule trans :premises (@p534 @p533))
% 1.51/1.77  (step @p536 :rule cong :premises (@p535) :args ((forall @t160 (=> @t185 @t516))))
% 1.51/1.77  (step @p537 :rule trans :premises (@p536 @p524))
% 1.51/1.77  (step @p538 :rule aci_norm :args ((= (or @t510 (or @t509 @t508)) @t511)))
% 1.51/1.77  (step @p539 :rule refl :args (@t508))
% 1.51/1.77  (step @p540 :rule bool-double-not-elim :args (@t509))
% 1.51/1.77  (step @p541 :rule nary_cong :premises (@p540 @p539) :args ((or (not @t517) @t508)))
% 1.51/1.77  (step @p542 :rule bool-and-de-morgan :args (@t517 @t507 true))
% 1.51/1.77  (step @p543 :rule trans :premises (@p542 @p541))
% 1.51/1.77  (step @p544 :rule refl :args (@t510))
% 1.51/1.77  (step @p545 :rule nary_cong :premises (@p544 @p543) :args ((or @t510 @t518)))
% 1.51/1.77  (step @p546 :rule trans :premises (@p545 @p538))
% 1.51/1.77  (step @p547 :rule bool-impl-elim :args (@t239 @t518))
% 1.51/1.77  (step @p548 :rule trans :premises (@p547 @p546))
% 1.51/1.77  (step @p549 :rule cong :premises (@p548) :args ((forall @t126 (=> @t239 @t518))))
% 1.51/1.77  (step @p550 :rule bool-and-de-morgan :args (@t232 @t506 true))
% 1.51/1.77  (step @p551 :rule cong :premises (@p550) :args ((forall @t121 (not (and @t232 @t506)))))
% 1.51/1.77  (step @p552 :rule aci_norm :args ((= (or (or @t504 @t478) @t477) @t505)))
% 1.51/1.77  (step @p553 :rule refl :args (@t477))
% 1.51/1.77  (step @p554 :rule bool-and-de-morgan :args (@t228 @t227 true))
% 1.51/1.77  (step @p555 :rule nary_cong :premises (@p554 @p553) :args ((or (not @t229) @t477)))
% 1.51/1.77  (step @p556 :rule trans :premises (@p555 @p552))
% 1.51/1.77  (step @p557 :rule bool-impl-elim :args (@t229 @t477))
% 1.51/1.77  (step @p558 :rule trans :premises (@p557 @p556))
% 1.51/1.77  (step @p559 :rule cong :premises (@p558) :args ((forall @t110 (=> @t229 @t477))))
% 1.51/1.77  (step @p560 :rule eq-symm :args (@t92 @t115))
% 1.51/1.77  (step @p561 :rule refl :args (@t229))
% 1.51/1.77  (step @p562 :rule cong :premises (@p561 @p560) :args (@t230))
% 1.51/1.77  (step @p563 :rule cong :premises (@p562) :args (@t231))
% 1.51/1.77  (step @p564 :rule trans :premises (@p563 @p559))
% 1.51/1.77  (step @p565 :rule refl :args (@t232))
% 1.51/1.77  (step @p566 :rule nary_cong :premises (@p565 @p564) :args (@t233))
% 1.51/1.77  (step @p567 :rule cong :premises (@p566) :args (@t234))
% 1.51/1.77  (step @p568 :rule cong :premises (@p567) :args (@t235))
% 1.51/1.77  (step @p569 :rule trans :premises (@p568 @p551))
% 1.51/1.77  (step @p570 :rule eq-symm :args (@t114 tptp.empty_set))
% 1.51/1.77  (step @p571 :rule cong :premises (@p570) :args (@t236))
% 1.51/1.77  (step @p572 :rule nary_cong :premises (@p571 @p569) :args (@t237))
% 1.51/1.77  (step @p573 :rule cong :premises (@p572) :args (@t238))
% 1.51/1.77  (step @p574 :rule refl :args (@t239))
% 1.51/1.77  (step @p575 :rule cong :premises (@p574 @p573) :args (@t240))
% 1.51/1.77  (step @p576 :rule cong :premises (@p575) :args (@t241))
% 1.51/1.77  (step @p577 :rule trans :premises (@p576 @p549))
% 1.51/1.77  (step @p578 :rule cong :premises (@p507 @p577) :args (@t242))
% 1.51/1.77  (step @p579 :rule aci_norm :args ((= @t520 @t491)))
% 1.51/1.77  (step @p580 :rule cong :premises (@p579) :args (@t521))
% 1.51/1.77  (step @p581 :rule quant-merge-prenex :args ((= (forall @t151 @t523) @t521)))
% 1.51/1.77  (step @p582 :rule alpha_equiv :args (@t524 (@list @t485) (@list @t140)))
% 1.51/1.77  (step @p583 :rule refl :args (@t489))
% 1.51/1.77  (step @p584 :rule refl :args (@t200))
% 1.51/1.77  (step @p585 :rule refl :args (@t490))
% 1.51/1.77  (step @p586 :rule nary_cong :premises (@p585 @p584 @p583 @p582) :args (@t525))
% 1.51/1.77  (step @p587 :rule quant-miniscope-or :args ((= @t523 @t525)))
% 1.51/1.77  (step @p588 :rule trans :premises (@p587 @p586))
% 1.51/1.77  (step @p589 :rule symm :premises (@p588))
% 1.51/1.77  (step @p590 :rule cong :premises (@p589) :args ((forall @t151 @t535)))
% 1.51/1.77  (step @p591 :rule trans :premises (@p590 @p581))
% 1.51/1.77  (step @p592 :rule trans :premises (@p591 @p580))
% 1.51/1.77  (step @p593 :rule aci_norm :args ((= (or @t490 @t536) @t535)))
% 1.51/1.77  (step @p594 :rule aci_norm :args ((= (or @t200 (or @t489 @t534)) @t536)))
% 1.51/1.77  (step @p595 :rule bool-impl-elim :args (@t259 @t534))
% 1.51/1.77  (step @p596 :rule nary_cong :premises (@p584 @p595) :args ((or @t200 @t537)))
% 1.51/1.77  (step @p597 :rule trans :premises (@p596 @p594))
% 1.51/1.77  (step @p598 :rule bool-impl-elim :args (@t148 @t537))
% 1.51/1.77  (step @p599 :rule trans :premises (@p598 @p597))
% 1.51/1.77  (step @p600 :rule nary_cong :premises (@p585 @p599) :args ((or @t490 @t538)))
% 1.51/1.77  (step @p601 :rule trans :premises (@p600 @p593))
% 1.51/1.77  (step @p602 :rule bool-impl-elim :args (@t171 @t538))
% 1.51/1.77  (step @p603 :rule trans :premises (@p602 @p601))
% 1.51/1.77  (step @p604 :rule cong :premises (@p603) :args ((forall @t151 (=> @t171 @t538))))
% 1.51/1.77  (step @p605 :rule trans :premises (@p604 @p592))
% 1.51/1.77  (step @p606 :rule aci_norm :args ((= (or @t532 (or @t531 @t530)) @t533)))
% 1.51/1.77  (step @p607 :rule refl :args (@t530))
% 1.51/1.77  (step @p608 :rule bool-double-not-elim :args (@t531))
% 1.51/1.77  (step @p609 :rule nary_cong :premises (@p608 @p607) :args ((or (not @t539) @t530)))
% 1.51/1.77  (step @p610 :rule bool-and-de-morgan :args (@t539 @t529 true))
% 1.51/1.77  (step @p611 :rule trans :premises (@p610 @p609))
% 1.51/1.77  (step @p612 :rule refl :args (@t532))
% 1.51/1.77  (step @p613 :rule nary_cong :premises (@p612 @p611) :args ((or @t532 @t540)))
% 1.51/1.77  (step @p614 :rule trans :premises (@p613 @p606))
% 1.51/1.77  (step @p615 :rule bool-impl-elim :args (@t256 @t540))
% 1.51/1.77  (step @p616 :rule trans :premises (@p615 @p614))
% 1.51/1.77  (step @p617 :rule cong :premises (@p616) :args ((forall @t146 (=> @t256 @t540))))
% 1.51/1.77  (step @p618 :rule bool-and-de-morgan :args (@t248 @t528 true))
% 1.51/1.77  (step @p619 :rule cong :premises (@p618) :args ((forall @t28 (not (and @t248 @t528)))))
% 1.51/1.77  (step @p620 :rule aci_norm :args ((= (or (or @t526 @t484) @t483) @t527)))
% 1.51/1.77  (step @p621 :rule refl :args (@t483))
% 1.51/1.77  (step @p622 :rule bool-and-de-morgan :args (@t244 @t243 true))
% 1.51/1.77  (step @p623 :rule nary_cong :premises (@p622 @p621) :args ((or (not @t245) @t483)))
% 1.51/1.77  (step @p624 :rule trans :premises (@p623 @p620))
% 1.51/1.77  (step @p625 :rule bool-impl-elim :args (@t245 @t483))
% 1.51/1.77  (step @p626 :rule trans :premises (@p625 @p624))
% 1.51/1.77  (step @p627 :rule cong :premises (@p626) :args ((forall @t133 (=> @t245 @t483))))
% 1.51/1.77  (step @p628 :rule eq-symm :args (@t117 @t18))
% 1.51/1.77  (step @p629 :rule refl :args (@t245))
% 1.51/1.77  (step @p630 :rule cong :premises (@p629 @p628) :args (@t246))
% 1.51/1.77  (step @p631 :rule cong :premises (@p630) :args (@t247))
% 1.51/1.77  (step @p632 :rule trans :premises (@p631 @p627))
% 1.51/1.77  (step @p633 :rule refl :args (@t248))
% 1.51/1.77  (step @p634 :rule nary_cong :premises (@p633 @p632) :args (@t249))
% 1.51/1.77  (step @p635 :rule cong :premises (@p634) :args (@t250))
% 1.51/1.77  (step @p636 :rule cong :premises (@p635) :args (@t251))
% 1.51/1.77  (step @p637 :rule trans :premises (@p636 @p619))
% 1.51/1.77  (step @p638 :rule eq-symm :args (@t140 tptp.empty_set))
% 1.51/1.77  (step @p639 :rule cong :premises (@p638) :args (@t252))
% 1.51/1.77  (step @p640 :rule nary_cong :premises (@p639 @p637) :args (@t253))
% 1.51/1.77  (step @p641 :rule cong :premises (@p640) :args (@t254))
% 1.51/1.77  (step @p642 :rule refl :args (@t256))
% 1.51/1.77  (step @p643 :rule cong :premises (@p642 @p641) :args (@t257))
% 1.51/1.77  (step @p644 :rule cong :premises (@p643) :args (@t258))
% 1.51/1.77  (step @p645 :rule trans :premises (@p644 @p617))
% 1.51/1.77  (step @p646 :rule refl :args (@t259))
% 1.51/1.77  (step @p647 :rule cong :premises (@p646 @p645) :args (@t260))
% 1.51/1.77  (step @p648 :rule cong :premises (@p423 @p647) :args (@t261))
% 1.51/1.77  (step @p649 :rule refl :args (@t171))
% 1.51/1.77  (step @p650 :rule cong :premises (@p649 @p648) :args (@t262))
% 1.51/1.77  (step @p651 :rule cong :premises (@p650) :args (@t263))
% 1.51/1.77  (step @p652 :rule trans :premises (@p651 @p605))
% 1.51/1.77  (step @p653 :rule cong :premises (@p652 @p578) :args (@t264))
% 1.51/1.77  (step @p654 :rule cong :premises (@p509 @p653) :args (@t265))
% 1.51/1.77  (step @p655 :rule cong :premises (@p654) :args (@t266))
% 1.51/1.77  (step @p656 :rule trans :premises (@p655 @p537))
% 1.51/1.77  (step @p657 :rule cong :premises (@p656 @p512) :args (@t267))
% 1.51/1.77  (step @p658 :rule eq_resolve :premises (@p44 @p657))
% 1.51/1.77  (step @p659 :rule implies_elim :premises (@p658))
% 1.51/1.77  (step @p660 :rule reordering :premises (@p659) :args ((or @t455 @t542)))
% 1.51/1.77  (step @p661 :rule chain_m_resolution :premises (@p660 @p445) :args (@t542 @t456 (@list @t455)))
% 1.51/1.77  (step @p662 :rule skolemize :premises (@p661))
% 1.51/1.77  (step @p663 :rule bool-double-not-elim :args (@t547))
% 1.51/1.77  (step @p664 :rule refl :args (@t558))
% 1.51/1.77  (step @p665 :rule nary_cong :premises (@p664 @p663) :args ((or @t558 (not @t551))))
% 1.51/1.77  (step @p666 :rule cnf_or_neg :args (@t558 3))
% 1.51/1.77  (step @p667 :rule eq_resolve :premises (@p666 @p665))
% 1.51/1.77  (step @p668 :rule reordering :premises (@p667) :args ((or @t547 @t558)))
% 1.51/1.77  (step @p669 :rule chain_m_resolution :premises (@p668 @p662) :args (@t547 @t456 @t559))
% 1.51/1.77  (step @p670 :rule not_implies_elim1 :premises (@p441))
% 1.51/1.77  (step @p671 :rule and_elim :premises (@p670) :args (2))
% 1.51/1.77  (step @p672 :rule instantiate :premises (@p671) :args ((@list @t543 @t546)))
% 1.51/1.77  (step @p673 :rule bool-double-not-elim :args (@t548))
% 1.51/1.77  (step @p674 :rule nary_cong :premises (@p664 @p673) :args ((or @t558 (not @t549))))
% 1.51/1.77  (step @p675 :rule cnf_or_neg :args (@t558 5))
% 1.51/1.77  (step @p676 :rule eq_resolve :premises (@p675 @p674))
% 1.51/1.77  (step @p677 :rule reordering :premises (@p676) :args ((or @t548 @t558)))
% 1.51/1.77  (step @p678 :rule chain_m_resolution :premises (@p677 @p662) :args (@t548 @t456 @t559))
% 1.51/1.77  (step @p679 :rule alpha_equiv :args (@t548 @t560 (@list @t31 @t30)))
% 1.51/1.77  (step @p680 :rule equiv_elim1 :premises (@p679))
% 1.51/1.77  (step @p681 :rule chain_m_resolution :premises (@p680 @p678) :args (@t561 @t562 @t563))
% 1.51/1.77  (step @p682 :rule bool-double-not-elim :args (@t554))
% 1.51/1.77  (step @p683 :rule nary_cong :premises (@p664 @p682) :args ((or @t558 (not @t555))))
% 1.51/1.77  (step @p684 :rule cnf_or_neg :args (@t558 1))
% 1.51/1.77  (step @p685 :rule eq_resolve :premises (@p684 @p683))
% 1.51/1.77  (step @p686 :rule reordering :premises (@p685) :args ((or @t554 @t558)))
% 1.51/1.77  (step @p687 :rule chain_m_resolution :premises (@p686 @p662) :args (@t554 @t456 @t559))
% 1.51/1.77  (step @p688 :rule alpha_equiv :args (@t554 (@list @t485 @t18 @t117 @t139) (@list @t330 @t53 @t54 @t70)))
% 1.51/1.77  (step @p689 :rule equiv_elim1 :premises (@p688))
% 1.51/1.77  (step @p690 :rule chain_m_resolution :premises (@p689 @p687) :args (@t564 @t562 (@list @t554)))
% 1.51/1.77  (step @p691 :rule aci_norm :args ((= @t570 @t568)))
% 1.51/1.77  (step @p692 :rule refl :args (@t573))
% 1.51/1.77  (step @p693 :rule nary_cong :premises (@p692 @p691) :args (@t574))
% 1.51/1.77  (step @p694 :rule refl :args (@t452))
% 1.51/1.77  (step @p695 :rule nary_cong :premises (@p694 @p693) :args (@t575))
% 1.51/1.77  (step @p696 :rule cong :premises (@p695) :args (@t577))
% 1.51/1.77  (step @p697 :rule quant-merge-prenex :args ((= (forall @t160 @t579) @t577)))
% 1.51/1.77  (step @p698 :rule refl :args (@t283))
% 1.51/1.77  (step @p699 :rule alpha_equiv :args (@t580 (@list @t565) (@list @t139)))
% 1.51/1.77  (step @p700 :rule nary_cong :premises (@p699 @p698) :args (@t581))
% 1.51/1.77  (step @p701 :rule quant-miniscope-or :args ((= @t582 @t581)))
% 1.51/1.77  (step @p702 :rule trans :premises (@p701 @p700))
% 1.51/1.77  (step @p703 :rule quant-unused-vars :args ((= @t583 @t573)))
% 1.51/1.77  (step @p704 :rule nary_cong :premises (@p703 @p702) :args (@t584))
% 1.51/1.77  (step @p705 :rule quant-miniscope-and :args ((= @t585 @t584)))
% 1.51/1.77  (step @p706 :rule trans :premises (@p705 @p704))
% 1.51/1.77  (step @p707 :rule nary_cong :premises (@p451 @p706) :args (@t586))
% 1.51/1.77  (step @p708 :rule quant-miniscope-or :args ((= @t579 @t586)))
% 1.51/1.77  (step @p709 :rule trans :premises (@p708 @p707))
% 1.51/1.77  (step @p710 :rule symm :premises (@p709))
% 1.51/1.77  (step @p711 :rule cong :premises (@p710) :args ((forall @t160 (or @t452 (and @t573 (or @t571 @t283))))))
% 1.51/1.77  (step @p712 :rule trans :premises (@p711 @p697))
% 1.51/1.77  (step @p713 :rule trans :premises (@p712 @p696))
% 1.51/1.77  (step @p714 :rule bool-double-not-elim :args (@t571))
% 1.51/1.77  (step @p715 :rule nary_cong :premises (@p714 @p698) :args ((or (not @t572) @t283)))
% 1.51/1.77  (step @p716 :rule bool-and-de-morgan :args (@t572 @t184 true))
% 1.51/1.77  (step @p717 :rule trans :premises (@p716 @p715))
% 1.51/1.77  (step @p718 :rule refl :args (@t572))
% 1.51/1.77  (step @p719 :rule bool-double-not-elim :args (@t184))
% 1.51/1.77  (step @p720 :rule nary_cong :premises (@p719 @p718) :args ((or (not @t283) @t572)))
% 1.51/1.77  (step @p721 :rule bool-and-de-morgan :args (@t283 @t571 true))
% 1.51/1.77  (step @p722 :rule trans :premises (@p721 @p720))
% 1.51/1.77  (step @p723 :rule nary_cong :premises (@p722 @p717) :args (@t587))
% 1.51/1.77  (step @p724 :rule nary_cong :premises (@p451 @p723) :args ((or @t452 @t587)))
% 1.51/1.77  (step @p725 :rule bool-impl-elim :args (@t185 @t587))
% 1.51/1.77  (step @p726 :rule trans :premises (@p725 @p724))
% 1.51/1.77  (step @p727 :rule cong :premises (@p726) :args ((forall @t160 (=> @t185 @t587))))
% 1.51/1.77  (step @p728 :rule trans :premises (@p727 @p713))
% 1.51/1.77  (step @p729 :rule refl :args (@t184))
% 1.51/1.77  (step @p730 :rule bool-and-de-morgan :args (@t171 @t276 true))
% 1.51/1.77  (step @p731 :rule cong :premises (@p730) :args (@t588))
% 1.51/1.77  (step @p732 :rule cong :premises (@p731) :args (@t589))
% 1.51/1.77  (step @p733 :rule exists-elim :args ((= @t278 @t589)))
% 1.51/1.77  (step @p734 :rule trans :premises (@p733 @p732))
% 1.51/1.77  (step @p735 :rule nary_cong :premises (@p734 @p729) :args (@t279))
% 1.51/1.77  (step @p736 :rule cong :premises (@p735) :args (@t280))
% 1.51/1.77  (step @p737 :rule bool-impl-elim :args (@t171 @t281))
% 1.51/1.77  (step @p738 :rule cong :premises (@p737) :args (@t282))
% 1.51/1.77  (step @p739 :rule refl :args (@t283))
% 1.51/1.77  (step @p740 :rule nary_cong :premises (@p739 @p738) :args (@t284))
% 1.51/1.77  (step @p741 :rule cong :premises (@p740) :args (@t285))
% 1.51/1.77  (step @p742 :rule nary_cong :premises (@p741 @p736) :args (@t286))
% 1.51/1.77  (step @p743 :rule cong :premises (@p509 @p742) :args (@t287))
% 1.51/1.77  (step @p744 :rule cong :premises (@p743) :args (@t288))
% 1.51/1.77  (step @p745 :rule trans :premises (@p744 @p728))
% 1.51/1.77  (step @p746 :rule eq_resolve :premises (@p56 @p745))
% 1.51/1.77  (step @p747 :rule refl :args (@t592))
% 1.51/1.77  (step @p748 :rule eq-symm :args (@t543 @t275))
% 1.51/1.77  (step @p749 :rule cong :premises (@p748) :args (@t593))
% 1.51/1.77  (step @p750 :rule refl :args (@t490))
% 1.51/1.77  (step @p751 :rule nary_cong :premises (@p750 @p749) :args (@t594))
% 1.51/1.77  (step @p752 :rule cong :premises (@p751) :args (@t595))
% 1.51/1.77  (step @p753 :rule cong :premises (@p752) :args (@t596))
% 1.51/1.77  (step @p754 :rule refl :args (@t590))
% 1.51/1.77  (step @p755 :rule nary_cong :premises (@p754 @p753) :args (@t597))
% 1.51/1.77  (step @p756 :rule nary_cong :premises (@p755 @p747) :args (@t598))
% 1.51/1.77  (step @p757 :rule refl :args (@t557))
% 1.51/1.77  (step @p758 :rule nary_cong :premises (@p757 @p756) :args (@t599))
% 1.51/1.77  (step @p759 :rule refl :args (@t600))
% 1.51/1.77  (step @p760 :rule cong :premises (@p759 @p758) :args ((=> @t600 @t599)))
% 1.51/1.77  (assume-push @p1078 @t600)
% 1.51/1.77  (step @p762 :rule instantiate :premises (@p746) :args ((@list @t543 @t543)))
% 1.51/1.77  (step-pop @p1079 :rule scope :premises (@p762))
% 1.51/1.77  (step @p763 :rule process_scope :premises (@p1079) :args (@t599))
% 1.51/1.77  (step @p765 :rule eq_resolve :premises (@p763 @p760))
% 1.51/1.77  (step @p766 :rule implies_elim :premises (@p765))
% 1.51/1.77  (step @p767 :rule chain_m_resolution :premises (@p766 @p746) :args (@t605 @t562 (@list @t600)))
% 1.51/1.77  (step @p768 :rule bool-double-not-elim :args (@t556))
% 1.51/1.77  (step @p769 :rule nary_cong :premises (@p664 @p768) :args ((or @t558 (not @t557))))
% 1.51/1.77  (step @p770 :rule cnf_or_neg :args (@t558 0))
% 1.51/1.77  (step @p771 :rule eq_resolve :premises (@p770 @p769))
% 1.51/1.77  (step @p772 :rule reordering :premises (@p771) :args ((or @t556 @t558)))
% 1.51/1.77  (step @p773 :rule chain_m_resolution :premises (@p772 @p662) :args (@t556 @t456 @t559))
% 1.51/1.77  (step @p774 :rule cnf_or_pos :args (@t605))
% 1.51/1.77  (step @p775 :rule reordering :premises (@p774) :args ((or @t557 @t604 (not @t605))))
% 1.51/1.77  (step @p776 :rule chain_m_resolution :premises (@p775 @p773 @p767) :args (@t604 @t606 (@list @t556 @t605)))
% 1.51/1.77  (step @p777 :rule cnf_and_pos :args (@t604 0))
% 1.51/1.77  (step @p778 :rule reordering :premises (@p777) :args ((or @t603 (not @t604))))
% 1.51/1.77  (step @p779 :rule chain_m_resolution :premises (@p778 @p776) :args (@t603 @t562 (@list @t604)))
% 1.51/1.77  (step @p780 :rule bool-double-not-elim :args (@t608))
% 1.51/1.77  (step @p781 :rule refl :args (@t613))
% 1.51/1.77  (step @p782 :rule nary_cong :premises (@p781 @p780) :args ((or @t613 (not @t612))))
% 1.51/1.77  (step @p783 :rule cnf_or_neg :args (@t613 0))
% 1.51/1.77  (step @p784 :rule eq_resolve :premises (@p783 @p782))
% 1.51/1.77  (step @p785 :rule reordering :premises (@p784) :args ((or @t608 @t613)))
% 1.51/1.77  (step @p786 :rule bool-double-not-elim :args (@t610))
% 1.51/1.77  (step @p787 :rule nary_cong :premises (@p781 @p786) :args ((or @t613 (not @t611))))
% 1.51/1.77  (step @p788 :rule cnf_or_neg :args (@t613 1))
% 1.51/1.77  (step @p789 :rule eq_resolve :premises (@p788 @p787))
% 1.51/1.77  (step @p790 :rule reordering :premises (@p789) :args ((or @t610 @t613)))
% 1.51/1.77  (step @p791 :rule instantiate :premises (@p52) :args ((@list @t607)))
% 1.51/1.77  (assume-push @p1080 @t610)
% 1.51/1.77  (assume-push @p1081 @t614)
% 1.51/1.77  (assume-push @p1082 @t614)
% 1.51/1.77  (assume-push @p1083 @t610)
% 1.51/1.77  (step @p796 :rule true_intro :premises (@p791))
% 1.51/1.77  (step @p797 :rule refl :args (@t607))
% 1.51/1.77  (step @p798 :rule cong :premises (@p797 @p1080) :args (@t615))
% 1.51/1.77  (step @p799 :rule trans :premises (@p798 @p796))
% 1.51/1.77  (step @p800 :rule true_elim :premises (@p799))
% 1.51/1.77  (step-pop @p1084 :rule scope :premises (@p800))
% 1.51/1.77  (step-pop @p1085 :rule scope :premises (@p1084))
% 1.51/1.77  (step @p801 :rule process_scope :premises (@p1085) :args (@t615))
% 1.51/1.77  (step @p804 :rule and_intro :premises (@p791 @p1080))
% 1.51/1.77  (step @p805 :rule modus_ponens :premises (@p804 @p801))
% 1.51/1.77  (step-pop @p1086 :rule scope :premises (@p805))
% 1.51/1.77  (step-pop @p1087 :rule scope :premises (@p1086))
% 1.51/1.77  (step @p806 :rule process_scope :premises (@p1087) :args (@t615))
% 1.51/1.77  (step @p809 :rule implies_elim :premises (@p806))
% 1.51/1.77  (step @p810 :rule cnf_and_neg :args (@t616))
% 1.51/1.77  (step @p811 :rule resolution :premises (@p810 @p809) :args (true @t616))
% 1.51/1.77  (step @p812 :rule bool-double-not-elim :args (@t552))
% 1.51/1.77  (step @p813 :rule nary_cong :premises (@p664 @p812) :args ((or @t558 (not @t553))))
% 1.51/1.77  (step @p814 :rule cnf_or_neg :args (@t558 2))
% 1.51/1.77  (step @p815 :rule eq_resolve :premises (@p814 @p813))
% 1.51/1.77  (step @p816 :rule reordering :premises (@p815) :args ((or @t552 @t558)))
% 1.51/1.77  (step @p817 :rule chain_m_resolution :premises (@p816 @p662) :args (@t552 @t456 @t559))
% 1.51/1.77  (assume-push @p1088 @t552)
% 1.51/1.77  (assume-push @p1089 @t610)
% 1.51/1.77  (assume-push @p1090 @t552)
% 1.51/1.77  (assume-push @p1091 @t610)
% 1.51/1.77  (step @p822 :rule true_intro :premises (@p817))
% 1.51/1.77  (step @p823 :rule refl :args (tptp.omega))
% 1.51/1.77  (step @p824 :rule symm :premises (@p1089))
% 1.51/1.77  (step @p825 :rule cong :premises (@p824 @p823) :args (@t617))
% 1.51/1.77  (step @p826 :rule trans :premises (@p825 @p822))
% 1.51/1.77  (step @p827 :rule true_elim :premises (@p826))
% 1.51/1.77  (step-pop @p1092 :rule scope :premises (@p827))
% 1.51/1.77  (step-pop @p1093 :rule scope :premises (@p1092))
% 1.51/1.77  (step @p828 :rule process_scope :premises (@p1093) :args (@t617))
% 1.51/1.77  (step @p831 :rule and_intro :premises (@p817 @p1089))
% 1.51/1.77  (step @p832 :rule modus_ponens :premises (@p831 @p828))
% 1.51/1.77  (step-pop @p1094 :rule scope :premises (@p832))
% 1.51/1.77  (step-pop @p1095 :rule scope :premises (@p1094))
% 1.51/1.77  (step @p833 :rule process_scope :premises (@p1095) :args (@t617))
% 1.51/1.77  (step @p836 :rule implies_elim :premises (@p833))
% 1.51/1.77  (step @p837 :rule cnf_and_neg :args (@t618))
% 1.51/1.77  (step @p838 :rule resolution :premises (@p837 @p836) :args (true @t618))
% 1.51/1.77  (assume-push @p1096 @t547)
% 1.51/1.77  (assume-push @p1097 @t610)
% 1.51/1.77  (assume-push @p1098 @t547)
% 1.51/1.77  (assume-push @p1099 @t610)
% 1.51/1.77  (step @p843 :rule true_intro :premises (@p669))
% 1.51/1.77  (step @p844 :rule symm :premises (@p1097))
% 1.51/1.77  (step @p845 :rule cong :premises (@p844) :args (@t619))
% 1.51/1.77  (step @p846 :rule cong :premises (@p845) :args (@t620))
% 1.51/1.77  (step @p847 :rule refl :args (@t546))
% 1.51/1.77  (step @p848 :rule cong :premises (@p847 @p846) :args (@t621))
% 1.51/1.77  (step @p849 :rule trans :premises (@p848 @p843))
% 1.51/1.77  (step @p850 :rule true_elim :premises (@p849))
% 1.51/1.77  (step-pop @p1100 :rule scope :premises (@p850))
% 1.51/1.77  (step-pop @p1101 :rule scope :premises (@p1100))
% 1.51/1.77  (step @p851 :rule process_scope :premises (@p1101) :args (@t621))
% 1.51/1.77  (step @p854 :rule and_intro :premises (@p669 @p1097))
% 1.51/1.77  (step @p855 :rule modus_ponens :premises (@p854 @p851))
% 1.51/1.77  (step-pop @p1102 :rule scope :premises (@p855))
% 1.51/1.77  (step-pop @p1103 :rule scope :premises (@p1102))
% 1.51/1.77  (step @p856 :rule process_scope :premises (@p1103) :args (@t621))
% 1.51/1.77  (step @p859 :rule implies_elim :premises (@p856))
% 1.51/1.77  (step @p860 :rule cnf_and_neg :args (@t622))
% 1.51/1.77  (step @p861 :rule resolution :premises (@p860 @p859) :args (true @t622))
% 1.51/1.77  (step @p862 :rule cnf_or_neg :args (@t558 4))
% 1.51/1.77  (step @p863 :rule chain_m_resolution :premises (@p862 @p662) :args ((not @t550) @t456 @t559))
% 1.51/1.77  (step @p864 :rule alpha_equiv :args (@t548 @t560 (@list @t90 @t89)))
% 1.51/1.77  (step @p865 :rule equiv_elim1 :premises (@p864))
% 1.51/1.77  (step @p866 :rule chain_m_resolution :premises (@p865 @p678) :args (@t623 @t562 @t563))
% 1.51/1.77  (step @p867 :rule and_elim :premises (@p670) :args (1))
% 1.51/1.77  (step @p868 :rule instantiate :premises (@p867) :args ((@list @t607 @t546)))
% 1.51/1.77  (step @p869 :rule cnf_or_pos :args (@t632))
% 1.51/1.77  (step @p870 :rule reordering :premises (@p869) :args ((or @t550 @t612 @t631 @t626 @t625 @t624 (not @t632))))
% 1.51/1.77  (step @p871 :rule cnf_and_pos :args (@t631 0))
% 1.51/1.77  (step @p872 :rule reordering :premises (@p871) :args ((or @t630 @t633)))
% 1.51/1.77  (step @p873 :rule cnf_and_pos :args (@t631 1))
% 1.51/1.77  (step @p874 :rule reordering :premises (@p873) :args ((or @t629 @t633)))
% 1.51/1.77  (step @p875 :rule refl :args (@t641))
% 1.51/1.77  (step @p876 :rule bool-double-not-elim :args (@t628))
% 1.51/1.77  (step @p877 :rule nary_cong :premises (@p876 @p875) :args ((or (not @t629) @t641)))
% 1.51/1.77  (assume-push @p1104 @t629)
% 1.51/1.77  (step @p879 :rule skolemize :premises (@p1104))
% 1.51/1.77  (step-pop @p1105 :rule scope :premises (@p879))
% 1.51/1.77  (step @p880 :rule process_scope :premises (@p1105) :args (@t641))
% 1.51/1.77  (step @p882 :rule implies_elim :premises (@p880))
% 1.51/1.77  (step @p883 :rule eq_resolve :premises (@p882 @p877))
% 1.51/1.77  (step @p884 :rule bool-double-not-elim :args (@t638))
% 1.51/1.77  (step @p885 :rule refl :args (@t640))
% 1.51/1.77  (step @p886 :rule nary_cong :premises (@p885 @p884) :args ((or @t640 (not @t639))))
% 1.51/1.77  (step @p887 :rule cnf_or_neg :args (@t640 0))
% 1.51/1.77  (step @p888 :rule eq_resolve :premises (@p887 @p886))
% 1.51/1.77  (step @p889 :rule reordering :premises (@p888) :args ((or @t638 @t640)))
% 1.51/1.77  (step @p890 :rule cnf_or_neg :args (@t640 1))
% 1.51/1.77  (step @p891 :rule bool-double-not-elim :args (@t635))
% 1.51/1.77  (step @p892 :rule nary_cong :premises (@p885 @p891) :args ((or @t640 (not @t636))))
% 1.51/1.77  (step @p893 :rule cnf_or_neg :args (@t640 2))
% 1.51/1.77  (step @p894 :rule eq_resolve :premises (@p893 @p892))
% 1.51/1.77  (step @p895 :rule reordering :premises (@p894) :args ((or @t635 @t640)))
% 1.51/1.77  (step @p896 :rule instantiate :premises (@p687) :args ((@list @t607 @t634)))
% 1.51/1.77  (step @p897 :rule cnf_or_pos :args (@t646))
% 1.51/1.77  (step @p898 :rule reordering :premises (@p897) :args ((or @t612 @t644 @t639 @t637 @t645 @t643 (not @t646))))
% 1.51/1.77  (step @p899 :rule alpha_equiv :args (@t635 (@list @t115 @t114) (@list @t117 @t18)))
% 1.51/1.77  (step @p900 :rule equiv_elim1 :premises (@p899))
% 1.51/1.77  (step @p901 :rule chain_m_resolution :premises (@p900 @p898 @p896 @p895 @p890 @p889 @p883 @p874 @p872 @p870 @p868 @p866 @p863 @p861 @p669 @p838 @p817 @p811 @p791 @p790 @p785) :args (@t613 (@list true false false true false true true false false false false true false false false false false false false false) (@list @t642 @t646 @t635 @t637 @t638 @t640 @t628 @t630 @t631 @t632 @t623 @t550 @t621 @t547 @t617 @t552 @t615 @t614 @t610 @t608)))
% 1.51/1.77  (step @p902 :rule refl :args (@t647))
% 1.51/1.77  (step @p903 :rule bool-double-not-elim :args (@t601))
% 1.51/1.77  (step @p904 :rule nary_cong :premises (@p903 @p902) :args ((or (not @t602) @t647)))
% 1.51/1.77  (step @p905 :rule eq-symm :args (@t609 @t543))
% 1.51/1.77  (step @p906 :rule cong :premises (@p905) :args (@t648))
% 1.51/1.77  (step @p907 :rule refl :args (@t612))
% 1.51/1.77  (step @p908 :rule nary_cong :premises (@p907 @p906) :args (@t649))
% 1.51/1.77  (step @p909 :rule cong :premises (@p908) :args (@t650))
% 1.51/1.77  (step @p910 :rule refl :args (@t602))
% 1.51/1.77  (step @p911 :rule cong :premises (@p910 @p909) :args ((=> @t602 @t650)))
% 1.51/1.77  (assume-push @p1106 @t602)
% 1.51/1.77  (step @p913 :rule skolemize :premises (@p1106))
% 1.51/1.77  (step-pop @p1107 :rule scope :premises (@p913))
% 1.51/1.77  (step @p914 :rule process_scope :premises (@p1107) :args (@t650))
% 1.51/1.77  (step @p916 :rule eq_resolve :premises (@p914 @p911))
% 1.51/1.77  (step @p917 :rule implies_elim :premises (@p916))
% 1.51/1.77  (step @p918 :rule eq_resolve :premises (@p917 @p904))
% 1.51/1.77  (step @p919 :rule chain_m_resolution :premises (@p918 @p901) :args (@t601 @t562 (@list @t613)))
% 1.51/1.77  (step @p920 :rule cnf_or_pos :args (@t603))
% 1.51/1.77  (step @p921 :rule reordering :premises (@p920) :args ((or @t590 @t602 (not @t603))))
% 1.51/1.77  (step @p922 :rule chain_m_resolution :premises (@p921 @p919 @p779) :args (@t590 @t606 (@list @t601 @t603)))
% 1.51/1.77  (step @p923 :rule cnf_or_pos :args (@t654))
% 1.51/1.77  (step @p924 :rule reordering :premises (@p923) :args ((or @t557 @t553 @t551 @t550 @t591 @t653 @t652 @t651 (not @t654))))
% 1.51/1.77  (step @p925 :rule chain_m_resolution :premises (@p924 @p773 @p817 @p669 @p863 @p922 @p690 @p681 @p672) :args (@t652 (@list false false false true false false false false) (@list @t556 @t552 @t547 @t550 @t590 @t564 @t561 @t654)))
% 1.51/1.77  (step @p926 :rule aci_norm :args ((= (or @t655 @t273) (or @t655 @t174 @t201))))
% 1.51/1.77  (step @p927 :rule bool-impl-elim :args (@t271 @t273))
% 1.51/1.77  (step @p928 :rule trans :premises (@p927 @p926))
% 1.51/1.77  (step @p929 :rule cong :premises (@p928) :args (@t274))
% 1.51/1.77  (step @p930 :rule eq_resolve :premises (@p55 @p929))
% 1.51/1.77  (step @p931 :rule instantiate :premises (@p930) :args ((@list tptp.empty_set tptp.omega)))
% 1.51/1.77  (step @p932 :rule bool-impl-elim :args (@t168 @t439))
% 1.51/1.77  (step @p933 :rule cong :premises (@p932) :args ((forall @t160 (=> @t168 @t439))))
% 1.51/1.77  (step @p934 :rule refl :args (@t168))
% 1.51/1.77  (step @p935 :rule cong :premises (@p934 @p428) :args (@t289))
% 1.51/1.77  (step @p936 :rule cong :premises (@p935) :args (@t290))
% 1.51/1.77  (step @p937 :rule trans :premises (@p936 @p933))
% 1.51/1.77  (step @p938 :rule eq_resolve :premises (@p57 @p937))
% 1.51/1.77  (step @p939 :rule instantiate :premises (@p938) :args ((@list @t662)))
% 1.51/1.77  (step @p940 :rule aci_norm :args ((= (or @t660 (or @t659 (or @t658 (or @t169 (or @t657 (or @t656 @t452)))))) @t661)))
% 1.51/1.77  (step @p941 :rule bool-and-de-morgan :args (@t186 @t185 true))
% 1.51/1.77  (step @p942 :rule refl :args (@t657))
% 1.51/1.77  (step @p943 :rule nary_cong :premises (@p942 @p941) :args ((or @t657 (not (and @t186 @t185)))))
% 1.51/1.77  (step @p944 :rule bool-and-de-morgan :args (@t187 @t186 (and @t185)))
% 1.51/1.77  (step @p945 :rule trans :premises (@p944 @p943))
% 1.51/1.77  (step @p946 :rule refl :args (@t169))
% 1.51/1.77  (step @p947 :rule nary_cong :premises (@p946 @p945) :args ((or @t169 (not @t196))))
% 1.51/1.77  (step @p948 :rule bool-and-de-morgan :args (@t168 @t187 (and @t186 @t185)))
% 1.51/1.77  (step @p949 :rule trans :premises (@p948 @p947))
% 1.51/1.77  (step @p950 :rule refl :args (@t658))
% 1.51/1.77  (step @p951 :rule nary_cong :premises (@p950 @p949) :args ((or @t658 (not (and @t168 @t187 @t186 @t185)))))
% 1.51/1.77  (step @p952 :rule bool-and-de-morgan :args (@t181 @t168 (and @t187 @t186 @t185)))
% 1.51/1.77  (step @p953 :rule trans :premises (@p952 @p951))
% 1.51/1.77  (step @p954 :rule refl :args (@t659))
% 1.51/1.77  (step @p955 :rule nary_cong :premises (@p954 @p953) :args ((or @t659 (not (and @t181 @t168 @t187 @t186 @t185)))))
% 1.51/1.77  (step @p956 :rule bool-and-de-morgan :args (@t178 @t181 (and @t168 @t187 @t186 @t185)))
% 1.51/1.77  (step @p957 :rule trans :premises (@p956 @p955))
% 1.51/1.77  (step @p958 :rule refl :args (@t660))
% 1.51/1.77  (step @p959 :rule nary_cong :premises (@p958 @p957) :args ((or @t660 (not (and @t178 @t181 @t168 @t187 @t186 @t185)))))
% 1.51/1.77  (step @p960 :rule bool-and-de-morgan :args (@t179 @t178 (and @t181 @t168 @t187 @t186 @t185)))
% 1.51/1.77  (step @p961 :rule trans :premises (@p960 @p959))
% 1.51/1.77  (step @p962 :rule trans :premises (@p961 @p940))
% 1.51/1.77  (step @p963 :rule cong :premises (@p962) :args (@t663))
% 1.51/1.77  (step @p964 :rule cong :premises (@p963) :args (@t664))
% 1.51/1.77  (step @p965 :rule exists-elim :args ((= @t198 @t664)))
% 1.51/1.77  (step @p966 :rule trans :premises (@p965 @p964))
% 1.51/1.77  (step @p967 :rule eq_resolve :premises (@p23 @p966))
% 1.51/1.77  (step @p968 :rule skolemize :premises (@p967))
% 1.51/1.77  (step @p969 :rule bool-double-not-elim :args (@t665))
% 1.51/1.77  (step @p970 :rule refl :args (@t667))
% 1.51/1.77  (step @p971 :rule nary_cong :premises (@p970 @p969) :args ((or @t667 (not @t666))))
% 1.51/1.77  (step @p972 :rule cnf_or_neg :args (@t667 3))
% 1.51/1.77  (step @p973 :rule eq_resolve :premises (@p972 @p971))
% 1.51/1.77  (step @p974 :rule reordering :premises (@p973) :args ((or @t665 @t667)))
% 1.51/1.77  (step @p975 :rule chain_m_resolution :premises (@p974 @p968) :args (@t665 @t456 (@list @t667)))
% 1.51/1.77  (step @p976 :rule cnf_or_pos :args (@t669))
% 1.51/1.77  (step @p977 :rule reordering :premises (@p976) :args ((or @t666 @t668 (not @t669))))
% 1.51/1.77  (step @p978 :rule chain_m_resolution :premises (@p977 @p975 @p939) :args (@t668 @t606 (@list @t665 @t669)))
% 1.51/1.77  (step @p979 :rule bool-impl-elim :args (@t201 @t271))
% 1.51/1.77  (step @p980 :rule cong :premises (@p979) :args (@t272))
% 1.51/1.77  (step @p981 :rule eq_resolve :premises (@p54 @p980))
% 1.51/1.77  (step @p982 :rule instantiate :premises (@p981) :args ((@list @t543 tptp.omega)))
% 1.51/1.77  (step @p983 :rule cnf_or_pos :args (@t671))
% 1.51/1.77  (step @p984 :rule reordering :premises (@p983) :args ((or @t553 @t670 (not @t671))))
% 1.51/1.77  (step @p985 :rule chain_m_resolution :premises (@p984 @p817 @p982) :args (@t670 @t606 (@list @t552 @t671)))
% 1.51/1.77  (step @p986 :rule refl :args (@t672))
% 1.51/1.77  (step @p987 :rule refl :args (@t673))
% 1.51/1.77  (step @p988 :rule bool-double-not-elim :args (@t674))
% 1.51/1.77  (step @p989 :rule refl :args (@t675))
% 1.51/1.77  (step @p990 :rule nary_cong :premises (@p989 @p988 @p987 @p986) :args ((or @t675 (not @t676) @t673 @t672)))
% 1.51/1.77  (assume-push @p1108 @t670)
% 1.51/1.77  (assume-push @p1109 @t652)
% 1.51/1.77  (assume-push @p1110 @t668)
% 1.51/1.77  (assume-push @p1111 @t676)
% 1.51/1.77  (step @p995 :rule evaluate :args ((= false true)))
% 1.51/1.77  (step @p996 :rule true_intro :premises (@p985))
% 1.51/1.77  (step @p823 :rule refl :args (tptp.omega))
% 1.51/1.77  (step @p997 :rule symm :premises (@p978))
% 1.51/1.77  (step @p998 :rule trans :premises (@p997 @p1109))
% 1.51/1.77  (step @p999 :rule cong :premises (@p998 @p823) :args ((tptp.element @t662 tptp.omega)))
% 1.51/1.77  (step @p1000 :rule cong :premises (@p978 @p823) :args (@t674))
% 1.51/1.77  (step @p1001 :rule false_intro :premises (@p1111))
% 1.51/1.77  (step @p1002 :rule symm :premises (@p1001))
% 1.51/1.77  (step @p1003 :rule trans :premises (@p1002 @p1000 @p999 @p996))
% 1.51/1.77  (step @p1004 false :rule eq_resolve :premises (@p1003 @p995))
% 1.51/1.77  (step-pop @p1112 :rule scope :premises (@p1004))
% 1.51/1.77  (step-pop @p1113 :rule scope :premises (@p1112))
% 1.51/1.77  (step-pop @p1114 :rule scope :premises (@p1113))
% 1.51/1.77  (step-pop @p1115 :rule scope :premises (@p1114))
% 1.51/1.77  (step @p1005 :rule process_scope :premises (@p1115) :args (false))
% 1.51/1.77  (assume-push @p1116 @t652)
% 1.51/1.77  (assume-push @p1117 @t676)
% 1.51/1.77  (assume-push @p1118 @t670)
% 1.51/1.77  (assume-push @p1119 @t668)
% 1.51/1.77  (step @p1014 :rule and_intro :premises (@p985 @p1116 @p978 @p1117))
% 1.51/1.77  (step-pop @p1120 :rule scope :premises (@p1014))
% 1.51/1.77  (step-pop @p1121 :rule scope :premises (@p1120))
% 1.51/1.77  (step-pop @p1122 :rule scope :premises (@p1121))
% 1.51/1.77  (step-pop @p1123 :rule scope :premises (@p1122))
% 1.51/1.77  (step @p1015 :rule process_scope :premises (@p1123) :args (@t677))
% 1.51/1.77  (step @p1020 :rule implies_elim :premises (@p1015))
% 1.51/1.77  (step @p1021 :rule resolution :premises (@p1020 @p1005) :args (true @t677))
% 1.51/1.77  (step @p1022 :rule not_and :premises (@p1021))
% 1.51/1.77  (step @p1023 :rule eq_resolve :premises (@p1022 @p990))
% 1.51/1.77  (step @p1024 :rule reordering :premises (@p1023) :args ((or @t674 @t673 @t675 @t672)))
% 1.51/1.77  (step @p1025 :rule chain_m_resolution :premises (@p1024 @p985 @p925 @p978) :args (@t674 (@list false false false) (@list @t670 @t652 @t668)))
% 1.51/1.77  (step @p1026 :rule and_elim :premises (@p33) :args (3))
% 1.51/1.77  (step @p1027 :rule cnf_or_pos :args (@t678))
% 1.51/1.77  (step @p1028 :rule reordering :premises (@p1027) :args ((or @t162 @t202 @t676 (not @t678))))
% 1.51/1.77  (step @p1029 :rule chain_m_resolution :premises (@p1028 @p1026 @p1025 @p931) :args (@t162 @t679 (@list @t202 @t674 @t678)))
% 1.51/1.77  (step @p1030 :rule and_elim :premises (@p670) :args (0))
% 1.51/1.77  (step @p1031 :rule implies_elim :premises (@p1030))
% 1.51/1.77  (step @p1032 :rule reordering :premises (@p1031) :args ((or @t680 (not @t162))))
% 1.51/1.77  (step @p1033 :rule chain_m_resolution :premises (@p1032 @p1029) :args (@t680 @t562 (@list @t162)))
% 1.51/1.77  (assume-push @p1124 @t680)
% 1.51/1.77  (step @p1035 :rule instantiate :premises (@p1124) :args ((@list @t546)))
% 1.51/1.77  (step-pop @p1125 :rule scope :premises (@p1035))
% 1.51/1.78  (step @p1036 :rule process_scope :premises (@p1125) :args (@t685))
% 1.51/1.78  (step @p1038 :rule implies_elim :premises (@p1036))
% 1.51/1.78  (step @p1039 :rule chain_m_resolution :premises (@p1038 @p1033) :args (@t685 @t562 (@list @t680)))
% 1.51/1.78  (step @p1040 :rule alpha_equiv :args (@t548 @t560 (@list @t140 @t139)))
% 1.51/1.78  (step @p1041 :rule equiv_elim1 :premises (@p1040))
% 1.51/1.78  (step @p1042 :rule chain_m_resolution :premises (@p1041 @p678) :args (@t681 @t562 @t563))
% 1.51/1.78  (step @p1043 :rule cnf_or_pos :args (@t685))
% 1.51/1.78  (step @p1044 :rule reordering :premises (@p1043) :args ((or @t550 @t684 @t682 (not @t685))))
% 1.51/1.78  (step @p1045 :rule chain_m_resolution :premises (@p1044 @p863 @p1042 @p1039) :args (@t684 @t679 (@list @t550 @t681 @t685)))
% 1.51/1.78  (step @p1046 :rule bool-double-not-elim :args (@t683))
% 1.51/1.78  (step @p1047 :rule refl :args (@t551))
% 1.51/1.78  (step @p1048 :rule nary_cong :premises (@p1047 @p989 @p1046) :args ((or @t551 @t675 (not @t684))))
% 1.51/1.78  (assume-push @p1126 @t684)
% 1.51/1.78  (assume-push @p1127 @t652)
% 1.51/1.78  (assume-push @p1128 @t547)
% 1.51/1.78  (step @p1052 :rule evaluate :args ((= true false)))
% 1.51/1.78  (step @p1053 :rule false_intro :premises (@p1126))
% 1.51/1.78  (step @p1054 :rule symm :premises (@p1127))
% 1.51/1.78  (step @p1055 :rule cong :premises (@p1054) :args (@t544))
% 1.51/1.78  (step @p1056 :rule cong :premises (@p1055) :args (@t545))
% 1.51/1.78  (step @p847 :rule refl :args (@t546))
% 1.51/1.78  (step @p1057 :rule cong :premises (@p847 @p1056) :args (@t547))
% 1.51/1.78  (step @p843 :rule true_intro :premises (@p669))
% 1.51/1.78  (step @p1058 :rule symm :premises (@p843))
% 1.51/1.78  (step @p1059 :rule trans :premises (@p1058 @p1057 @p1053))
% 1.51/1.78  (step @p1060 false :rule eq_resolve :premises (@p1059 @p1052))
% 1.51/1.78  (step-pop @p1129 :rule scope :premises (@p1060))
% 1.51/1.78  (step-pop @p1130 :rule scope :premises (@p1129))
% 1.51/1.78  (step-pop @p1131 :rule scope :premises (@p1130))
% 1.51/1.78  (step @p1061 :rule process_scope :premises (@p1131) :args (false))
% 1.51/1.78  (assume-push @p1132 @t547)
% 1.51/1.78  (assume-push @p1133 @t652)
% 1.51/1.78  (assume-push @p1134 @t684)
% 1.51/1.78  (step @p1068 :rule and_intro :premises (@p1134 @p1133 @p669))
% 1.51/1.78  (step-pop @p1135 :rule scope :premises (@p1068))
% 1.51/1.78  (step-pop @p1136 :rule scope :premises (@p1135))
% 1.51/1.78  (step-pop @p1137 :rule scope :premises (@p1136))
% 1.51/1.78  (step @p1069 :rule process_scope :premises (@p1137) :args (@t686))
% 1.51/1.78  (step @p1073 :rule implies_elim :premises (@p1069))
% 1.51/1.78  (step @p1074 :rule resolution :premises (@p1073 @p1061) :args (true @t686))
% 1.51/1.78  (step @p1075 :rule not_and :premises (@p1074))
% 1.51/1.78  (step @p1076 :rule eq_resolve :premises (@p1075 @p1048))
% 1.51/1.78  (step @p1077 false :rule chain_m_resolution :premises (@p1076 @p1045 @p925 @p669) :args (false @t679 (@list @t683 @t652 @t547)))
% 1.51/1.78  )
% 1.51/1.78  % SZS output end Proof
% 1.51/1.78  % cvc5 exiting
%------------------------------------------------------------------------------