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cvc5---1.3.4.THM-Prf.s

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%------------------------------------------------------------------------------
% File     : cvc5---1.3.4
% Problem  : SEU545^1 : TPTP v9.2.1. Released v3.7.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM

% Computer : n004.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Wed Jun  3 08:52:08 AM UTC 2026

% Result   : Theorem 0.37s 0.77s
% Output   : Proof 0.37s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : SEU545^1 : TPTP v9.2.1. Released v3.7.0.
% 0.11/0.13  % Command  : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.16/0.33  % Computer : n004.cluster.edu
% 0.16/0.33  % Model    : x86_64 x86_64
% 0.16/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.33  % Memory   : 8042.1875MB
% 0.16/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.16/0.33  % CPULimit : 300
% 0.16/0.33  % WCLimit  : 300
% 0.16/0.33  % DateTime : Tue Jun  2 17:41:07 EDT 2026
% 0.16/0.33  % CPUTime  : 
% 0.28/0.51  %----Proving TH0
% 0.37/0.77  --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 90s...
% 0.37/0.77  % SZS status Theorem
% 0.37/0.77  % SZS output start Proof
% 0.37/0.77  (
% 0.37/0.77  (declare-sort $$unsorted 0)
% 0.37/0.77  (declare-const tptp.emptyset $$unsorted)
% 0.37/0.77  (declare-const tptp.exuI1 Bool)
% 0.37/0.77  (declare-const tptp.set2prop (-> $$unsorted Bool))
% 0.37/0.77  (declare-const tptp.quantDeMorgan3 Bool)
% 0.37/0.77  (declare-const tptp.quantDeMorgan2 Bool)
% 0.37/0.77  (declare-const tptp.quantDeMorgan1 Bool)
% 0.37/0.77  (declare-const tptp.vacuousDall Bool)
% 0.37/0.77  (declare-const tptp.emptyE1 Bool)
% 0.37/0.77  (declare-const tptp.upairsetIR Bool)
% 0.37/0.77  (declare-const tptp.emptysetE Bool)
% 0.37/0.77  (declare-const tptp.setadjoinIL Bool)
% 0.37/0.77  (declare-const tptp.prop2setE Bool)
% 0.37/0.77  (declare-const tptp.prop2set (-> Bool $$unsorted))
% 0.37/0.77  (declare-const tptp.dsetconstrI Bool)
% 0.37/0.77  (declare-const tptp.setext Bool)
% 0.37/0.77  (declare-const tptp.nonemptyImpWitness Bool)
% 0.37/0.77  (declare-const tptp.descr (-> (-> $$unsorted Bool) $$unsorted))
% 0.37/0.77  (declare-const tptp.wellorderingAx Bool)
% 0.37/0.77  (declare-const tptp.replAx Bool)
% 0.37/0.77  (declare-const tptp.upairsetE Bool)
% 0.37/0.77  (declare-const tptp.dsetconstrEL Bool)
% 0.37/0.77  (declare-const tptp.prop2setI Bool)
% 0.37/0.77  (declare-const tptp.emptyinPowerset Bool)
% 0.37/0.77  (declare-const tptp.in (-> $$unsorted $$unsorted Bool))
% 0.37/0.77  (declare-const tptp.setextAx Bool)
% 0.37/0.77  (declare-const tptp.setadjoinOr Bool)
% 0.37/0.77  (declare-const tptp.uniqinunit Bool)
% 0.37/0.77  (declare-const tptp.foundationAx Bool)
% 0.37/0.77  (declare-const tptp.emptysetimpfalse Bool)
% 0.37/0.77  (declare-const tptp.notinemptyset Bool)
% 0.37/0.77  (declare-const tptp.setadjoinIR Bool)
% 0.37/0.77  (declare-const tptp.exuE2 Bool)
% 0.37/0.77  (declare-const tptp.setadjoin (-> $$unsorted $$unsorted $$unsorted))
% 0.37/0.77  (declare-const tptp.notdallE Bool)
% 0.37/0.77  (declare-const tptp.dsetconstrER Bool)
% 0.37/0.77  (declare-const tptp.emptyInPowerset Bool)
% 0.37/0.77  (declare-const tptp.setadjoinAx Bool)
% 0.37/0.77  (declare-const tptp.nonemptyE1 Bool)
% 0.37/0.77  (declare-const tptp.powerset (-> $$unsorted $$unsorted))
% 0.37/0.77  (declare-const tptp.dsetconstr (-> $$unsorted (-> $$unsorted Bool) $$unsorted))
% 0.37/0.77  (declare-const tptp.powersetAx Bool)
% 0.37/0.77  (declare-const tptp.prop2set2propI Bool)
% 0.37/0.77  (declare-const tptp.powersetE Bool)
% 0.37/0.77  (declare-const tptp.omegaSAx Bool)
% 0.37/0.77  (declare-const tptp.descrp Bool)
% 0.37/0.77  (declare-const tptp.setunion (-> $$unsorted $$unsorted))
% 0.37/0.77  (declare-const tptp.omega0Ax Bool)
% 0.37/0.77  (declare-const tptp.setoftrueEq Bool)
% 0.37/0.77  (declare-const tptp.setunionAx Bool)
% 0.37/0.77  (declare-const tptp.omega $$unsorted)
% 0.37/0.77  (declare-const tptp.omegaIndAx Bool)
% 0.37/0.77  (declare-const tptp.quantDeMorgan4 Bool)
% 0.37/0.77  (declare-const tptp.powersetI Bool)
% 0.37/0.77  (declare-const tptp.exuE3e Bool)
% 0.37/0.77  (declare-const tptp.emptyI Bool)
% 0.37/0.77  (declare-const tptp.noeltsimpempty Bool)
% 0.37/0.77  (declare-const tptp.eqinunit Bool)
% 0.37/0.77  (declare-const tptp.upairsetIL Bool)
% 0.37/0.77  (declare-const tptp.nonemptyI Bool)
% 0.37/0.77  (declare-const tptp.emptysetAx Bool)
% 0.37/0.77  (declare-const tptp.nonemptyI1 Bool)
% 0.37/0.77  (declare-const tptp.emptyinunitempty Bool)
% 0.37/0.77  (declare-const tptp.setadjoinE Bool)
% 0.37/0.77  (declare-const tptp.notdexE Bool)
% 0.37/0.77  (declare-const tptp.setunionI Bool)
% 0.37/0.77  (declare-const tptp.exuE1 Bool)
% 0.37/0.77  (declare-const tptp.setunionE Bool)
% 0.37/0.77  (declare-const tptp.subPowSU Bool)
% 0.37/0.77  (declare-const tptp.notinsingleton Bool)
% 0.37/0.77  (declare-const tptp.setbeta Bool)
% 0.37/0.77  (declare-const tptp.singletonsswitch Bool)
% 0.37/0.77  (define tptp.exu () (let ((_let_1 (@var "Xy" $$unsorted))) (let ((_let_2 (@var "Xx" $$unsorted))) (let ((_let_3 (@var "Xphi" (-> $$unsorted Bool)))) (lambda (@list _let_3) (exists (@list _let_2) (and (_ _let_3 _let_2) (forall (@list _let_1) (=> (_ _let_3 _let_1) (= _let_2 _let_1))))))))))
% 0.37/0.77  (define tptp.nonempty () (let ((_let_1 (@var "Xx" $$unsorted))) (lambda (@list _let_1) (not (= _let_1 tptp.emptyset)))))
% 0.37/0.77  (define @t1 () (@var "B" $$unsorted))
% 0.37/0.77  (define @t2 () (@var "A" $$unsorted))
% 0.37/0.77  (define @t3 () (= @t2 @t1))
% 0.37/0.77  (define @t4 () (@var "Xx" $$unsorted))
% 0.37/0.77  (define @t5 () (_ tptp.in @t4))
% 0.37/0.77  (define @t6 () (_ @t5 @t1))
% 0.37/0.77  (define @t7 () (_ @t5 @t2))
% 0.37/0.77  (define @t8 () (= @t7 @t6))
% 0.37/0.77  (define @t9 () (@list @t4))
% 0.37/0.77  (define @t10 () (forall @t9 @t8))
% 0.37/0.77  (define @t11 () (=> @t10 @t3))
% 0.37/0.77  (define @t12 () (@list @t2 @t1))
% 0.37/0.77  (define @t13 () (forall @t12 @t11))
% 0.37/0.77  (define @t14 () (= tptp.setextAx @t13))
% 0.37/0.77  (define @t15 () (_ @t5 tptp.emptyset))
% 0.37/0.77  (define @t16 () (not @t15))
% 0.37/0.77  (define @t17 () (forall @t9 @t16))
% 0.37/0.77  (define @t18 () (= tptp.emptysetAx @t17))
% 0.37/0.77  (define @t19 () (@var "Xy" $$unsorted))
% 0.37/0.77  (define @t20 () (_ tptp.in @t19))
% 0.37/0.77  (define @t21 () (_ @t20 @t2))
% 0.37/0.77  (define @t22 () (= @t19 @t4))
% 0.37/0.77  (define @t23 () (or @t22 @t21))
% 0.37/0.77  (define @t24 () (_ tptp.setadjoin @t4))
% 0.37/0.77  (define @t25 () (_ @t24 @t2))
% 0.37/0.77  (define @t26 () (_ @t20 @t25))
% 0.37/0.77  (define @t27 () (= @t26 @t23))
% 0.37/0.77  (define @t28 () (@list @t4 @t2 @t19))
% 0.37/0.77  (define @t29 () (forall @t28 @t27))
% 0.37/0.77  (define @t30 () (= tptp.setadjoinAx @t29))
% 0.37/0.77  (define @t31 () (=> @t6 @t7))
% 0.37/0.77  (define @t32 () (forall @t9 @t31))
% 0.37/0.77  (define @t33 () (_ tptp.powerset @t2))
% 0.37/0.77  (define @t34 () (_ tptp.in @t1))
% 0.37/0.77  (define @t35 () (_ @t34 @t33))
% 0.37/0.77  (define @t36 () (= @t35 @t32))
% 0.37/0.77  (define @t37 () (forall @t12 @t36))
% 0.37/0.77  (define @t38 () (= tptp.powersetAx @t37))
% 0.37/0.77  (define @t39 () (_ @t34 @t2))
% 0.37/0.77  (define @t40 () (and @t6 @t39))
% 0.37/0.77  (define @t41 () (@list @t1))
% 0.37/0.77  (define @t42 () (exists @t41 @t40))
% 0.37/0.77  (define @t43 () (_ tptp.setunion @t2))
% 0.37/0.77  (define @t44 () (_ @t5 @t43))
% 0.37/0.77  (define @t45 () (= @t44 @t42))
% 0.37/0.77  (define @t46 () (@list @t2 @t4))
% 0.37/0.77  (define @t47 () (forall @t46 @t45))
% 0.37/0.77  (define @t48 () (= tptp.setunionAx @t47))
% 0.37/0.77  (define @t49 () (_ tptp.in tptp.emptyset))
% 0.37/0.77  (define @t50 () (_ @t49 tptp.omega))
% 0.37/0.77  (define @t51 () (_ @t24 @t4))
% 0.37/0.77  (define @t52 () (_ tptp.in @t51))
% 0.37/0.77  (define @t53 () (_ @t52 tptp.omega))
% 0.37/0.77  (define @t54 () (_ @t5 tptp.omega))
% 0.37/0.77  (define @t55 () (forall @t9 (=> @t54 @t53)))
% 0.37/0.77  (define @t56 () (= tptp.omegaSAx @t55))
% 0.37/0.77  (define @t57 () (forall @t9 (=> @t54 @t7)))
% 0.37/0.77  (define @t58 () (_ @t52 @t2))
% 0.37/0.77  (define @t59 () (and @t54 @t7))
% 0.37/0.77  (define @t60 () (forall @t9 (=> @t59 @t58)))
% 0.37/0.77  (define @t61 () (_ @t49 @t2))
% 0.37/0.77  (define @t62 () (and @t61 @t60))
% 0.37/0.77  (define @t63 () (=> @t62 @t57))
% 0.37/0.77  (define @t64 () (@list @t2))
% 0.37/0.77  (define @t65 () (forall @t64 @t63))
% 0.37/0.77  (define @t66 () (= tptp.omegaIndAx @t65))
% 0.37/0.77  (define @t67 () (@var "Xphi" (-> $$unsorted $$unsorted Bool)))
% 0.37/0.77  (define @t68 () (_ (_ @t67 @t19) @t4))
% 0.37/0.77  (define @t69 () (and @t21 @t68))
% 0.37/0.77  (define @t70 () (@list @t19))
% 0.37/0.77  (define @t71 () (exists @t70 @t69))
% 0.37/0.77  (define @t72 () (= @t6 @t71))
% 0.37/0.77  (define @t73 () (forall @t9 @t72))
% 0.37/0.77  (define @t74 () (exists @t41 @t73))
% 0.37/0.77  (define @t75 () (_ @t67 @t4))
% 0.37/0.77  (define @t76 () (_ @t75 @t19))
% 0.37/0.77  (define @t77 () (lambda @t70 @t76))
% 0.37/0.77  (define @t78 () (=> @t7 (_ tptp.exu @t77)))
% 0.37/0.77  (define @t79 () (forall @t9 @t78))
% 0.37/0.77  (define @t80 () (=> @t79 @t74))
% 0.37/0.77  (define @t81 () (@list @t67 @t2))
% 0.37/0.77  (define @t82 () (forall @t81 @t80))
% 0.37/0.77  (define @t83 () (= tptp.replAx @t82))
% 0.37/0.77  (define @t84 () (and @t6 @t7))
% 0.37/0.77  (define @t85 () (exists @t9 @t84))
% 0.37/0.77  (define @t86 () (not @t85))
% 0.37/0.77  (define @t87 () (and @t39 @t86))
% 0.37/0.77  (define @t88 () (exists @t41 @t87))
% 0.37/0.77  (define @t89 () (exists @t9 @t7))
% 0.37/0.77  (define @t90 () (=> @t89 @t88))
% 0.37/0.77  (define @t91 () (forall @t64 @t90))
% 0.37/0.77  (define @t92 () (= tptp.foundationAx @t91))
% 0.37/0.77  (define @t93 () (@var "E" $$unsorted))
% 0.37/0.77  (define @t94 () (_ @t5 @t93))
% 0.37/0.77  (define @t95 () (@var "D" $$unsorted))
% 0.37/0.77  (define @t96 () (_ @t20 @t95))
% 0.37/0.77  (define @t97 () (_ @t20 @t93))
% 0.37/0.77  (define @t98 () (forall @t70 (=> @t97 @t96)))
% 0.37/0.77  (define @t99 () (or @t98 @t94))
% 0.37/0.77  (define @t100 () (_ (_ tptp.in @t93) @t1))
% 0.37/0.77  (define @t101 () (=> @t100 @t99))
% 0.37/0.77  (define @t102 () (@list @t93))
% 0.37/0.77  (define @t103 () (forall @t102 @t101))
% 0.37/0.77  (define @t104 () (@var "C" $$unsorted))
% 0.37/0.77  (define @t105 () (_ @t20 @t104))
% 0.37/0.77  (define @t106 () (and @t96 @t105))
% 0.37/0.77  (define @t107 () (exists @t70 @t106))
% 0.37/0.77  (define @t108 () (not @t107))
% 0.37/0.77  (define @t109 () (_ @t5 @t104))
% 0.37/0.77  (define @t110 () (_ (_ tptp.in @t95) @t1))
% 0.37/0.77  (define @t111 () (and @t110 @t109 @t108 @t103))
% 0.37/0.77  (define @t112 () (@list @t95 @t4))
% 0.37/0.77  (define @t113 () (exists @t112 @t111))
% 0.37/0.77  (define @t114 () (exists @t9 @t109))
% 0.37/0.77  (define @t115 () (forall @t9 (=> @t109 @t7)))
% 0.37/0.77  (define @t116 () (and @t115 @t114))
% 0.37/0.77  (define @t117 () (=> @t116 @t113))
% 0.37/0.77  (define @t118 () (@list @t104))
% 0.37/0.77  (define @t119 () (forall @t118 @t117))
% 0.37/0.77  (define @t120 () (_ @t5 @t95))
% 0.37/0.77  (define @t121 () (forall @t9 (=> @t120 @t109)))
% 0.37/0.77  (define @t122 () (forall @t9 (=> @t109 @t120)))
% 0.37/0.77  (define @t123 () (or @t122 @t121))
% 0.37/0.77  (define @t124 () (_ (_ tptp.in @t104) @t1))
% 0.37/0.77  (define @t125 () (and @t124 @t110))
% 0.37/0.77  (define @t126 () (=> @t125 @t123))
% 0.37/0.77  (define @t127 () (@list @t104 @t95))
% 0.37/0.77  (define @t128 () (forall @t127 @t126))
% 0.37/0.77  (define @t129 () (= @t4 @t19))
% 0.37/0.77  (define @t130 () (= @t109 @t105))
% 0.37/0.77  (define @t131 () (forall @t118 (=> @t124 @t130)))
% 0.37/0.77  (define @t132 () (=> @t131 @t129))
% 0.37/0.77  (define @t133 () (and @t7 @t21))
% 0.37/0.77  (define @t134 () (=> @t133 @t132))
% 0.37/0.77  (define @t135 () (@list @t4 @t19))
% 0.37/0.77  (define @t136 () (forall @t135 @t134))
% 0.37/0.77  (define @t137 () (=> @t124 @t115))
% 0.37/0.77  (define @t138 () (forall @t118 @t137))
% 0.37/0.77  (define @t139 () (and @t138 @t136 @t128 @t119))
% 0.37/0.77  (define @t140 () (exists @t41 @t139))
% 0.37/0.77  (define @t141 () (forall @t64 @t140))
% 0.37/0.77  (define @t142 () (= tptp.wellorderingAx @t141))
% 0.37/0.77  (define @t143 () (@var "Xphi" (-> $$unsorted Bool)))
% 0.37/0.77  (define @t144 () (_ @t143 @t4))
% 0.37/0.77  (define @t145 () (lambda @t9 @t144))
% 0.37/0.77  (define @t146 () (_ tptp.descr @t145))
% 0.37/0.77  (define @t147 () (_ @t143 @t146))
% 0.37/0.77  (define @t148 () (_ tptp.exu @t145))
% 0.37/0.77  (define @t149 () (=> @t148 @t147))
% 0.37/0.77  (define @t150 () (@list @t143))
% 0.37/0.77  (define @t151 () (forall @t150 @t149))
% 0.37/0.77  (define @t152 () (= tptp.descrp @t151))
% 0.37/0.77  (define @t153 () (_ @t143 @t19))
% 0.37/0.77  (define @t154 () (lambda @t70 @t153))
% 0.37/0.77  (define @t155 () (_ tptp.dsetconstr @t2))
% 0.37/0.77  (define @t156 () (_ @t155 @t154))
% 0.37/0.77  (define @t157 () (_ @t5 @t156))
% 0.37/0.77  (define @t158 () (=> @t144 @t157))
% 0.37/0.77  (define @t159 () (@list @t2 @t143 @t4))
% 0.37/0.77  (define @t160 () (forall @t159 (=> @t7 @t158)))
% 0.37/0.77  (define @t161 () (= tptp.dsetconstrI @t160))
% 0.37/0.77  (define @t162 () (forall @t159 (=> @t157 @t7)))
% 0.37/0.77  (define @t163 () (= tptp.dsetconstrEL @t162))
% 0.37/0.77  (define @t164 () (forall @t159 (=> @t157 @t144)))
% 0.37/0.77  (define @t165 () (= tptp.dsetconstrER @t164))
% 0.37/0.77  (define @t166 () (=> @t153 @t129))
% 0.37/0.77  (define @t167 () (forall @t70 @t166))
% 0.37/0.77  (define @t168 () (and @t144 @t167))
% 0.37/0.77  (define @t169 () (exists @t9 @t168))
% 0.37/0.77  (define @t170 () (=> @t148 @t169))
% 0.37/0.77  (define @t171 () (forall @t150 @t170))
% 0.37/0.77  (define @t172 () (= tptp.exuE1 @t171))
% 0.37/0.77  (define @t173 () (@var "Xphi" Bool))
% 0.37/0.77  (define @t174 () (_ tptp.prop2set @t173))
% 0.37/0.77  (define @t175 () (_ @t5 @t174))
% 0.37/0.77  (define @t176 () (@list @t173 @t4))
% 0.37/0.77  (define @t177 () (forall @t176 (=> @t175 @t173)))
% 0.37/0.77  (define @t178 () (= tptp.prop2setE @t177))
% 0.37/0.77  (define @t179 () (@list @t173))
% 0.37/0.77  (define @t180 () (forall @t179 @t173))
% 0.37/0.77  (define @t181 () (=> @t15 @t180))
% 0.37/0.77  (define @t182 () (forall @t9 @t181))
% 0.37/0.77  (define @t183 () (= tptp.emptysetE @t182))
% 0.37/0.77  (define @t184 () (forall @t9 (=> @t15 false)))
% 0.37/0.77  (define @t185 () (= tptp.emptysetimpfalse @t184))
% 0.37/0.77  (define @t186 () (exists @t9 @t144))
% 0.37/0.77  (define @t187 () (=> @t148 @t186))
% 0.37/0.77  (define @t188 () (forall @t150 @t187))
% 0.37/0.77  (define @t189 () (= tptp.exuE3e @t188))
% 0.37/0.77  (define @t190 () (=> @t32 @t3))
% 0.37/0.77  (define @t191 () (forall @t9 (=> @t7 @t6)))
% 0.37/0.77  (define @t192 () (=> @t191 @t190))
% 0.37/0.77  (define @t193 () (forall @t12 @t192))
% 0.37/0.77  (define @t194 () (= tptp.setext @t193))
% 0.37/0.77  (define @t195 () (= @t2 tptp.emptyset))
% 0.37/0.77  (define @t196 () (not @t7))
% 0.37/0.77  (define @t197 () (forall @t9 @t196))
% 0.37/0.77  (define @t198 () (=> @t197 @t195))
% 0.37/0.77  (define @t199 () (forall @t64 @t198))
% 0.37/0.77  (define @t200 () (= tptp.emptyI @t199))
% 0.37/0.77  (define @t201 () (=> @t7 (= @t157 @t144)))
% 0.37/0.77  (define @t202 () (forall @t159 @t201))
% 0.37/0.77  (define @t203 () (= tptp.setbeta @t202))
% 0.37/0.77  (define @t204 () (_ tptp.nonempty @t2))
% 0.37/0.77  (define @t205 () (=> @t204 @t89))
% 0.37/0.77  (define @t206 () (forall @t64 @t205))
% 0.37/0.77  (define @t207 () (= tptp.nonemptyE1 @t206))
% 0.37/0.77  (define @t208 () (=> @t144 (_ tptp.nonempty @t156)))
% 0.37/0.77  (define @t209 () (=> @t7 @t208))
% 0.37/0.77  (define @t210 () (forall @t159 @t209))
% 0.37/0.77  (define @t211 () (= tptp.nonemptyI @t210))
% 0.37/0.77  (define @t212 () (=> @t89 @t204))
% 0.37/0.77  (define @t213 () (forall @t64 @t212))
% 0.37/0.77  (define @t214 () (= tptp.nonemptyI1 @t213))
% 0.37/0.77  (define @t215 () (_ @t24 @t19))
% 0.37/0.77  (define @t216 () (_ @t5 @t215))
% 0.37/0.77  (define @t217 () (forall @t135 @t216))
% 0.37/0.77  (define @t218 () (= tptp.setadjoinIL @t217))
% 0.37/0.77  (define @t219 () (_ (_ tptp.setadjoin tptp.emptyset) tptp.emptyset))
% 0.37/0.77  (define @t220 () (_ @t49 @t219))
% 0.37/0.77  (define @t221 () (forall @t28 (=> @t21 @t26)))
% 0.37/0.77  (define @t222 () (= tptp.setadjoinIR @t221))
% 0.37/0.77  (define @t223 () (=> @t21 @t173))
% 0.37/0.77  (define @t224 () (=> @t223 @t173))
% 0.37/0.77  (define @t225 () (=> @t22 @t173))
% 0.37/0.77  (define @t226 () (=> @t225 @t224))
% 0.37/0.77  (define @t227 () (forall @t179 @t226))
% 0.37/0.77  (define @t228 () (=> @t26 @t227))
% 0.37/0.77  (define @t229 () (forall @t28 @t228))
% 0.37/0.77  (define @t230 () (= tptp.setadjoinE @t229))
% 0.37/0.77  (define @t231 () (=> @t26 @t23))
% 0.37/0.77  (define @t232 () (forall @t28 @t231))
% 0.37/0.77  (define @t233 () (= tptp.setadjoinOr @t232))
% 0.37/0.77  (define @t234 () (lambda @t9 true))
% 0.37/0.77  (define @t235 () (= (_ @t155 @t234) @t2))
% 0.37/0.77  (define @t236 () (forall @t64 @t235))
% 0.37/0.77  (define @t237 () (= tptp.setoftrueEq @t236))
% 0.37/0.77  (define @t238 () (=> @t32 @t35))
% 0.37/0.77  (define @t239 () (forall @t12 @t238))
% 0.37/0.77  (define @t240 () (= tptp.powersetI @t239))
% 0.37/0.77  (define @t241 () (_ @t49 @t33))
% 0.37/0.77  (define @t242 () (forall @t64 @t241))
% 0.37/0.77  (define @t243 () (= tptp.emptyinPowerset @t242))
% 0.37/0.77  (define @t244 () (@list @t2 @t1 @t4))
% 0.37/0.77  (define @t245 () (forall @t244 (=> @t35 @t31)))
% 0.37/0.77  (define @t246 () (= tptp.powersetE @t245))
% 0.37/0.77  (define @t247 () (=> @t39 @t44))
% 0.37/0.77  (define @t248 () (@list @t2 @t4 @t1))
% 0.37/0.77  (define @t249 () (forall @t248 (=> @t6 @t247)))
% 0.37/0.77  (define @t250 () (= tptp.setunionI @t249))
% 0.37/0.77  (define @t251 () (=> @t39 @t173))
% 0.37/0.77  (define @t252 () (forall @t41 (=> @t6 @t251)))
% 0.37/0.77  (define @t253 () (=> @t252 @t173))
% 0.37/0.77  (define @t254 () (forall @t179 @t253))
% 0.37/0.77  (define @t255 () (=> @t44 @t254))
% 0.37/0.77  (define @t256 () (forall @t46 @t255))
% 0.37/0.77  (define @t257 () (= tptp.setunionE @t256))
% 0.37/0.77  (define @t258 () (_ tptp.powerset @t43))
% 0.37/0.77  (define @t259 () (_ @t5 @t258))
% 0.37/0.77  (define @t260 () (forall @t46 (=> @t7 @t259)))
% 0.37/0.77  (define @t261 () (= tptp.subPowSU @t260))
% 0.37/0.77  (define @t262 () (= @t153 @t22))
% 0.37/0.77  (define @t263 () (forall @t70 @t262))
% 0.37/0.77  (define @t264 () (exists @t9 @t263))
% 0.37/0.77  (define @t265 () (=> @t148 @t264))
% 0.37/0.77  (define @t266 () (forall @t150 @t265))
% 0.37/0.77  (define @t267 () (= tptp.exuE2 @t266))
% 0.37/0.77  (define @t268 () (and @t7 true))
% 0.37/0.77  (define @t269 () (exists @t9 @t268))
% 0.37/0.77  (define @t270 () (=> @t204 @t269))
% 0.37/0.77  (define @t271 () (forall @t64 @t270))
% 0.37/0.77  (define @t272 () (= tptp.nonemptyImpWitness @t271))
% 0.37/0.77  (define @t273 () (_ (_ tptp.setadjoin @t19) tptp.emptyset))
% 0.37/0.77  (define @t274 () (_ @t5 @t273))
% 0.37/0.77  (define @t275 () (forall @t135 (=> @t274 @t129)))
% 0.37/0.77  (define @t276 () (= tptp.uniqinunit @t275))
% 0.37/0.77  (define @t277 () (_ @t24 tptp.emptyset))
% 0.37/0.77  (define @t278 () (_ @t20 @t277))
% 0.37/0.77  (define @t279 () (not @t278))
% 0.37/0.77  (define @t280 () (not @t129))
% 0.37/0.77  (define @t281 () (forall @t135 (=> @t280 @t279)))
% 0.37/0.77  (define @t282 () (= tptp.notinsingleton @t281))
% 0.37/0.77  (define @t283 () (forall @t135 (=> @t129 @t274)))
% 0.37/0.77  (define @t284 () (= tptp.eqinunit @t283))
% 0.37/0.77  (define @t285 () (forall @t135 (=> @t274 @t278)))
% 0.37/0.77  (define @t286 () (= tptp.singletonsswitch @t285))
% 0.37/0.77  (define @t287 () (@var "Xz" $$unsorted))
% 0.37/0.77  (define @t288 () (or (= @t287 @t4) (= @t287 @t19)))
% 0.37/0.77  (define @t289 () (_ @t24 @t273))
% 0.37/0.77  (define @t290 () (_ tptp.in @t287))
% 0.37/0.77  (define @t291 () (_ @t290 @t289))
% 0.37/0.77  (define @t292 () (=> @t291 @t288))
% 0.37/0.77  (define @t293 () (@list @t4 @t19 @t287))
% 0.37/0.77  (define @t294 () (forall @t293 @t292))
% 0.37/0.77  (define @t295 () (= tptp.upairsetE @t294))
% 0.37/0.77  (define @t296 () (_ @t5 @t289))
% 0.37/0.77  (define @t297 () (forall @t135 @t296))
% 0.37/0.77  (define @t298 () (= tptp.upairsetIL @t297))
% 0.37/0.77  (define @t299 () (_ @t20 @t289))
% 0.37/0.77  (define @t300 () (forall @t135 @t299))
% 0.37/0.77  (define @t301 () (= tptp.upairsetIR @t300))
% 0.37/0.77  (define @t302 () (_ @t155 @t145))
% 0.37/0.77  (define @t303 () (= @t302 tptp.emptyset))
% 0.37/0.77  (define @t304 () (and @t7 @t144))
% 0.37/0.77  (define @t305 () (exists @t9 @t304))
% 0.37/0.77  (define @t306 () (=> @t305 (=> @t303 false)))
% 0.37/0.77  (define @t307 () (@list @t2 @t143))
% 0.37/0.77  (define @t308 () (forall @t307 @t306))
% 0.37/0.77  (define @t309 () (= tptp.emptyE1 @t308))
% 0.37/0.77  (define @t310 () (@list @t143 @t4))
% 0.37/0.77  (define @t311 () (forall @t310 (=> @t15 @t144)))
% 0.37/0.77  (define @t312 () (= tptp.vacuousDall @t311))
% 0.37/0.77  (define @t313 () (not @t144))
% 0.37/0.77  (define @t314 () (and @t7 @t313))
% 0.37/0.77  (define @t315 () (exists @t9 @t314))
% 0.37/0.77  (define @t316 () (forall @t9 (=> @t7 @t144)))
% 0.37/0.77  (define @t317 () (not @t316))
% 0.37/0.77  (define @t318 () (=> @t317 @t315))
% 0.37/0.77  (define @t319 () (forall @t307 @t318))
% 0.37/0.77  (define @t320 () (= tptp.quantDeMorgan1 @t319))
% 0.37/0.77  (define @t321 () (not @t305))
% 0.37/0.77  (define @t322 () (forall @t9 (=> @t7 @t313)))
% 0.37/0.77  (define @t323 () (=> @t322 @t321))
% 0.37/0.77  (define @t324 () (forall @t307 @t323))
% 0.37/0.77  (define @t325 () (= tptp.quantDeMorgan2 @t324))
% 0.37/0.77  (define @t326 () (=> @t321 @t322))
% 0.37/0.77  (define @t327 () (forall @t307 @t326))
% 0.37/0.77  (define @t328 () (= tptp.quantDeMorgan3 @t327))
% 0.37/0.77  (define @t329 () (=> @t315 @t317))
% 0.37/0.77  (define @t330 () (forall @t307 @t329))
% 0.37/0.77  (define @t331 () (= tptp.quantDeMorgan4 @t330))
% 0.37/0.77  (define @t332 () (_ @t49 @t174))
% 0.37/0.77  (define @t333 () (forall @t179 (=> @t173 @t332)))
% 0.37/0.77  (define @t334 () (= tptp.prop2setI @t333))
% 0.37/0.77  (define @t335 () (_ tptp.set2prop @t174))
% 0.37/0.77  (define @t336 () (forall @t179 (=> @t173 @t335)))
% 0.37/0.77  (define @t337 () (= tptp.prop2set2propI @t336))
% 0.37/0.77  (define @t338 () (=> @t169 @t148))
% 0.37/0.77  (define @t339 () (forall @t150 @t338))
% 0.37/0.77  (define @t340 () (= tptp.exuI1 @t339))
% 0.37/0.77  (define @t341 () (forall @t135 (=> @t144 @t166)))
% 0.37/0.77  (define @t342 () (=> @t341 @t148))
% 0.37/0.77  (define @t343 () (=> @t186 @t342))
% 0.37/0.77  (define @t344 () (forall @t150 @t343))
% 0.37/0.77  (define @t345 () (=> tptp.exuI1 @t344))
% 0.37/0.77  (define @t346 () (=> tptp.notdallE @t345))
% 0.37/0.77  (define @t347 () (=> tptp.notdexE @t346))
% 0.37/0.77  (define @t348 () (=> tptp.prop2set2propI @t347))
% 0.37/0.77  (define @t349 () (=> tptp.prop2setI @t348))
% 0.37/0.77  (define @t350 () (=> tptp.quantDeMorgan4 @t349))
% 0.37/0.77  (define @t351 () (=> tptp.quantDeMorgan3 @t350))
% 0.37/0.77  (define @t352 () (=> tptp.quantDeMorgan2 @t351))
% 0.37/0.77  (define @t353 () (=> tptp.quantDeMorgan1 @t352))
% 0.37/0.77  (define @t354 () (=> tptp.vacuousDall @t353))
% 0.37/0.77  (define @t355 () (=> tptp.emptyE1 @t354))
% 0.37/0.77  (define @t356 () (=> tptp.upairsetIR @t355))
% 0.37/0.77  (define @t357 () (=> tptp.upairsetIL @t356))
% 0.37/0.77  (define @t358 () (=> tptp.upairsetE @t357))
% 0.37/0.77  (define @t359 () (=> tptp.singletonsswitch @t358))
% 0.37/0.77  (define @t360 () (=> tptp.eqinunit @t359))
% 0.37/0.77  (define @t361 () (=> tptp.notinsingleton @t360))
% 0.37/0.77  (define @t362 () (=> tptp.uniqinunit @t361))
% 0.37/0.77  (define @t363 () (=> tptp.nonemptyImpWitness @t362))
% 0.37/0.77  (define @t364 () (=> tptp.exuE2 @t363))
% 0.37/0.77  (define @t365 () (=> tptp.subPowSU @t364))
% 0.37/0.77  (define @t366 () (=> tptp.setunionE @t365))
% 0.37/0.77  (define @t367 () (=> tptp.setunionI @t366))
% 0.37/0.77  (define @t368 () (=> tptp.powersetE @t367))
% 0.37/0.77  (define @t369 () (=> tptp.emptyInPowerset @t368))
% 0.37/0.77  (define @t370 () (=> tptp.emptyinPowerset @t369))
% 0.37/0.77  (define @t371 () (=> tptp.powersetI @t370))
% 0.37/0.77  (define @t372 () (=> tptp.setoftrueEq @t371))
% 0.37/0.77  (define @t373 () (=> tptp.setadjoinOr @t372))
% 0.37/0.77  (define @t374 () (=> tptp.setadjoinE @t373))
% 0.37/0.77  (define @t375 () (=> tptp.setadjoinIR @t374))
% 0.37/0.77  (define @t376 () (=> tptp.emptyinunitempty @t375))
% 0.37/0.77  (define @t377 () (=> tptp.setadjoinIL @t376))
% 0.37/0.77  (define @t378 () (=> tptp.nonemptyI1 @t377))
% 0.37/0.77  (define @t379 () (=> tptp.nonemptyI @t378))
% 0.37/0.77  (define @t380 () (=> tptp.nonemptyE1 @t379))
% 0.37/0.77  (define @t381 () (=> tptp.setbeta @t380))
% 0.37/0.77  (define @t382 () (=> tptp.noeltsimpempty @t381))
% 0.37/0.77  (define @t383 () (=> tptp.emptyI @t382))
% 0.37/0.77  (define @t384 () (=> tptp.setext @t383))
% 0.37/0.77  (define @t385 () (=> tptp.exuE3e @t384))
% 0.37/0.77  (define @t386 () (=> tptp.notinemptyset @t385))
% 0.37/0.77  (define @t387 () (=> tptp.emptysetimpfalse @t386))
% 0.37/0.77  (define @t388 () (=> tptp.emptysetE @t387))
% 0.37/0.77  (define @t389 () (=> tptp.prop2setE @t388))
% 0.37/0.77  (define @t390 () (=> tptp.exuE1 @t389))
% 0.37/0.77  (define @t391 () (=> tptp.dsetconstrER @t390))
% 0.37/0.77  (define @t392 () (=> tptp.dsetconstrEL @t391))
% 0.37/0.77  (define @t393 () (=> tptp.dsetconstrI @t392))
% 0.37/0.77  (define @t394 () (=> tptp.descrp @t393))
% 0.37/0.77  (define @t395 () (=> tptp.wellorderingAx @t394))
% 0.37/0.77  (define @t396 () (=> tptp.foundationAx @t395))
% 0.37/0.77  (define @t397 () (=> tptp.replAx @t396))
% 0.37/0.77  (define @t398 () (=> tptp.omegaIndAx @t397))
% 0.37/0.77  (define @t399 () (=> tptp.omegaSAx @t398))
% 0.37/0.77  (define @t400 () (=> tptp.omega0Ax @t399))
% 0.37/0.77  (define @t401 () (=> tptp.setunionAx @t400))
% 0.37/0.77  (define @t402 () (=> tptp.powersetAx @t401))
% 0.37/0.77  (define @t403 () (=> tptp.setadjoinAx @t402))
% 0.37/0.77  (define @t404 () (=> tptp.emptysetAx @t403))
% 0.37/0.77  (define @t405 () (=> tptp.setextAx @t404))
% 0.37/0.77  (define @t406 () (not @t405))
% 0.37/0.77  (define @t407 () (lambda @t150 @t169))
% 0.37/0.77  (define @t408 () (lambda @t9 (not (= @t4 tptp.emptyset))))
% 0.37/0.77  (define @t409 () (_ @t143 @t19))
% 0.37/0.77  (define @t410 () (not @t409))
% 0.37/0.77  (define @t411 () (forall @t70 (or @t410 @t129)))
% 0.37/0.77  (define @t412 () (not @t411))
% 0.37/0.77  (define @t413 () (_ @t143 @t4))
% 0.37/0.77  (define @t414 () (not @t413))
% 0.37/0.77  (define @t415 () (forall @t9 (or @t414 @t412)))
% 0.37/0.77  (define @t416 () (not @t415))
% 0.37/0.77  (define @t417 () (forall @t135 (or @t414 @t410 @t129)))
% 0.37/0.77  (define @t418 () (not @t417))
% 0.37/0.77  (define @t419 () (@var "BOUND_VARIABLE_9056" $$unsorted))
% 0.37/0.77  (define @t420 () (not (_ @t143 @t419)))
% 0.37/0.77  (define @t421 () (or @t420 @t418 @t416))
% 0.37/0.77  (define @t422 () (forall (@list @t143 @t419) @t421))
% 0.37/0.77  (define @t423 () (tptp.prop2set true))
% 0.37/0.77  (define @t424 () (tptp.set2prop @t423))
% 0.37/0.77  (define @t425 () (=> @t424 @t422))
% 0.37/0.77  (define @t426 () (tptp.in tptp.emptyset @t423))
% 0.37/0.77  (define @t427 () (=> @t426 @t425))
% 0.37/0.77  (define @t428 () (tptp.in @t4 tptp.emptyset))
% 0.37/0.77  (define @t429 () (not @t428))
% 0.37/0.77  (define @t430 () (forall @t310 (or @t429 @t413)))
% 0.37/0.77  (define @t431 () (=> @t430 @t427))
% 0.37/0.77  (define @t432 () (@var "BOUND_VARIABLE_8904" $$unsorted))
% 0.37/0.77  (define @t433 () (not (_ @t143 @t432)))
% 0.37/0.77  (define @t434 () (not (tptp.in @t432 @t2)))
% 0.37/0.77  (define @t435 () (tptp.dsetconstr @t2 @t143))
% 0.37/0.77  (define @t436 () (not (= tptp.emptyset @t435)))
% 0.37/0.77  (define @t437 () (or @t436 @t434 @t433))
% 0.37/0.77  (define @t438 () (@list @t2 @t143 @t432))
% 0.37/0.77  (define @t439 () (forall @t438 @t437))
% 0.37/0.77  (define @t440 () (=> @t439 @t431))
% 0.37/0.77  (define @t441 () (tptp.setadjoin @t19 tptp.emptyset))
% 0.37/0.77  (define @t442 () (tptp.setadjoin @t4 @t441))
% 0.37/0.77  (define @t443 () (tptp.in @t19 @t442))
% 0.37/0.77  (define @t444 () (forall @t135 @t443))
% 0.37/0.77  (define @t445 () (=> @t444 @t440))
% 0.37/0.77  (define @t446 () (tptp.in @t4 @t442))
% 0.37/0.77  (define @t447 () (forall @t135 @t446))
% 0.37/0.77  (define @t448 () (=> @t447 @t445))
% 0.37/0.77  (define @t449 () (= @t19 @t287))
% 0.37/0.77  (define @t450 () (= @t4 @t287))
% 0.37/0.77  (define @t451 () (tptp.in @t287 @t442))
% 0.37/0.77  (define @t452 () (forall @t293 (or (not @t451) @t450 @t449)))
% 0.37/0.77  (define @t453 () (=> @t452 @t448))
% 0.37/0.77  (define @t454 () (tptp.setadjoin @t4 tptp.emptyset))
% 0.37/0.77  (define @t455 () (tptp.in @t19 @t454))
% 0.37/0.77  (define @t456 () (tptp.in @t4 @t441))
% 0.37/0.77  (define @t457 () (not @t456))
% 0.37/0.77  (define @t458 () (forall @t135 (or @t457 @t455)))
% 0.37/0.77  (define @t459 () (=> @t458 @t453))
% 0.37/0.77  (define @t460 () (tptp.in @t19 @t441))
% 0.37/0.77  (define @t461 () (forall @t70 @t460))
% 0.37/0.77  (define @t462 () (=> @t461 @t459))
% 0.37/0.77  (define @t463 () (forall @t135 (or @t129 (not @t455))))
% 0.37/0.77  (define @t464 () (=> @t463 @t462))
% 0.37/0.77  (define @t465 () (forall @t135 (or @t457 @t129)))
% 0.37/0.77  (define @t466 () (=> @t465 @t464))
% 0.37/0.77  (define @t467 () (tptp.in @t4 @t2))
% 0.37/0.77  (define @t468 () (not @t467))
% 0.37/0.77  (define @t469 () (forall @t9 @t468))
% 0.37/0.77  (define @t470 () (not @t469))
% 0.37/0.77  (define @t471 () (forall @t64 (or @t195 @t470)))
% 0.37/0.77  (define @t472 () (=> @t471 @t466))
% 0.37/0.77  (define @t473 () (@var "BOUND_VARIABLE_8788" $$unsorted))
% 0.37/0.77  (define @t474 () (not (_ @t143 @t473)))
% 0.37/0.77  (define @t475 () (forall @t70 (= @t129 @t409)))
% 0.37/0.77  (define @t476 () (not (forall @t9 (not @t475))))
% 0.37/0.77  (define @t477 () (@list @t143 @t473))
% 0.37/0.77  (define @t478 () (forall @t477 (or @t476 @t474 (not (forall @t70 (or @t410 (= @t19 @t473)))))))
% 0.37/0.77  (define @t479 () (=> @t478 @t472))
% 0.37/0.77  (define @t480 () (tptp.setunion @t2))
% 0.37/0.77  (define @t481 () (tptp.powerset @t480))
% 0.37/0.77  (define @t482 () (tptp.in @t4 @t481))
% 0.37/0.77  (define @t483 () (forall @t46 (or @t468 @t482)))
% 0.37/0.77  (define @t484 () (=> @t483 @t479))
% 0.37/0.77  (define @t485 () (tptp.in @t1 @t2))
% 0.37/0.77  (define @t486 () (not @t485))
% 0.37/0.77  (define @t487 () (tptp.in @t4 @t1))
% 0.37/0.77  (define @t488 () (not @t487))
% 0.37/0.77  (define @t489 () (forall @t41 (or @t488 @t486)))
% 0.37/0.77  (define @t490 () (not @t489))
% 0.37/0.77  (define @t491 () (tptp.in @t4 @t480))
% 0.37/0.77  (define @t492 () (forall @t46 (or (not @t491) @t490)))
% 0.37/0.77  (define @t493 () (=> @t492 @t484))
% 0.37/0.77  (define @t494 () (forall @t248 (or @t488 @t486 @t491)))
% 0.37/0.77  (define @t495 () (=> @t494 @t493))
% 0.37/0.77  (define @t496 () (tptp.powerset @t2))
% 0.37/0.77  (define @t497 () (tptp.in @t1 @t496))
% 0.37/0.77  (define @t498 () (forall @t244 (or (not @t497) @t488 @t467)))
% 0.37/0.77  (define @t499 () (=> @t498 @t495))
% 0.37/0.77  (define @t500 () (tptp.in tptp.emptyset @t496))
% 0.37/0.77  (define @t501 () (forall @t64 @t500))
% 0.37/0.77  (define @t502 () (=> @t501 @t499))
% 0.37/0.77  (define @t503 () (=> @t501 @t502))
% 0.37/0.77  (define @t504 () (forall @t9 (or @t488 @t467)))
% 0.37/0.77  (define @t505 () (not @t504))
% 0.37/0.77  (define @t506 () (forall @t12 (or @t505 @t497)))
% 0.37/0.77  (define @t507 () (=> @t506 @t503))
% 0.37/0.77  (define @t508 () (@var "BOUND_VARIABLE_18458" $$unsorted))
% 0.37/0.77  (define @t509 () (lambda (@list @t508) true))
% 0.37/0.77  (define @t510 () (tptp.dsetconstr @t2 @t509))
% 0.37/0.77  (define @t511 () (forall @t64 (= @t2 @t510)))
% 0.37/0.77  (define @t512 () (=> @t511 @t507))
% 0.37/0.77  (define @t513 () (tptp.in @t19 @t2))
% 0.37/0.77  (define @t514 () (tptp.setadjoin @t4 @t2))
% 0.37/0.77  (define @t515 () (tptp.in @t19 @t514))
% 0.37/0.77  (define @t516 () (forall @t28 (or (not @t515) @t129 @t513)))
% 0.37/0.77  (define @t517 () (=> @t516 @t512))
% 0.37/0.77  (define @t518 () (=> @t516 @t517))
% 0.37/0.77  (define @t519 () (not @t513))
% 0.37/0.77  (define @t520 () (forall @t28 (or @t519 @t515)))
% 0.37/0.77  (define @t521 () (=> @t520 @t518))
% 0.37/0.77  (define @t522 () (tptp.setadjoin tptp.emptyset tptp.emptyset))
% 0.37/0.77  (define @t523 () (tptp.in tptp.emptyset @t522))
% 0.37/0.77  (define @t524 () (=> @t220 @t521))
% 0.37/0.77  (define @t525 () (tptp.setadjoin @t4 @t19))
% 0.37/0.77  (define @t526 () (tptp.in @t4 @t525))
% 0.37/0.77  (define @t527 () (forall @t135 @t526))
% 0.37/0.77  (define @t528 () (=> @t527 @t524))
% 0.37/0.77  (define @t529 () (@var "BOUND_VARIABLE_8628" $$unsorted))
% 0.37/0.77  (define @t530 () (not (tptp.in @t529 tptp.emptyset)))
% 0.37/0.77  (define @t531 () (@list @t529))
% 0.37/0.77  (define @t532 () (forall @t531 @t530))
% 0.37/0.77  (define @t533 () (=> @t532 @t528))
% 0.37/0.77  (define @t534 () (forall @t159 (or @t468 @t414 @t436)))
% 0.37/0.77  (define @t535 () (=> @t534 @t533))
% 0.37/0.77  (define @t536 () (=> @t471 @t535))
% 0.37/0.77  (define @t537 () (tptp.in @t4 @t435))
% 0.37/0.77  (define @t538 () (forall @t159 (or @t468 (= @t413 @t537))))
% 0.37/0.77  (define @t539 () (=> @t538 @t536))
% 0.37/0.77  (define @t540 () (forall @t64 (or @t470 @t195)))
% 0.37/0.77  (define @t541 () (=> @t540 @t539))
% 0.37/0.77  (define @t542 () (=> @t540 @t541))
% 0.37/0.77  (define @t543 () (forall @t9 (or @t468 @t487)))
% 0.37/0.77  (define @t544 () (not @t543))
% 0.37/0.77  (define @t545 () (or @t544 @t505 @t3))
% 0.37/0.77  (define @t546 () (forall @t12 @t545))
% 0.37/0.77  (define @t547 () (=> @t546 @t542))
% 0.37/0.77  (define @t548 () (@var "BOUND_VARIABLE_8525" $$unsorted))
% 0.37/0.77  (define @t549 () (not (_ @t143 @t548)))
% 0.37/0.77  (define @t550 () (forall @t9 @t414))
% 0.37/0.77  (define @t551 () (not @t550))
% 0.37/0.77  (define @t552 () (@list @t143 @t548))
% 0.37/0.77  (define @t553 () (forall @t552 (or @t551 @t549 (not (forall @t70 (or @t410 (= @t19 @t548)))))))
% 0.37/0.77  (define @t554 () (=> @t553 @t547))
% 0.37/0.77  (define @t555 () (forall @t9 @t429))
% 0.37/0.77  (define @t556 () (=> @t555 @t554))
% 0.37/0.77  (define @t557 () (=> @t555 @t556))
% 0.37/0.77  (define @t558 () (=> @t555 @t557))
% 0.37/0.77  (define @t559 () (not (tptp.in @t4 (tptp.prop2set false))))
% 0.37/0.77  (define @t560 () (forall @t9 @t559))
% 0.37/0.77  (define @t561 () (=> @t560 @t558))
% 0.37/0.77  (define @t562 () (not @t537))
% 0.37/0.77  (define @t563 () (forall @t159 (or @t562 @t413)))
% 0.37/0.77  (define @t564 () (=> @t563 @t561))
% 0.37/0.77  (define @t565 () (forall @t159 (or @t562 @t467)))
% 0.37/0.77  (define @t566 () (=> @t565 @t564))
% 0.37/0.77  (define @t567 () (forall @t159 (or @t468 @t414 @t537)))
% 0.37/0.77  (define @t568 () (=> @t567 @t566))
% 0.37/0.77  (define @t569 () (@var "BOUND_VARIABLE_8424" $$unsorted))
% 0.37/0.77  (define @t570 () (not (_ @t143 @t569)))
% 0.37/0.77  (define @t571 () (_ @t143 (tptp.descr @t143)))
% 0.37/0.77  (define @t572 () (@list @t143 @t569))
% 0.37/0.77  (define @t573 () (forall @t572 (or @t571 @t570 (not (forall @t70 (or @t410 (= @t19 @t569)))))))
% 0.37/0.77  (define @t574 () (=> @t573 @t568))
% 0.37/0.77  (define @t575 () (@var "BOUND_VARIABLE_8344" $$unsorted))
% 0.37/0.77  (define @t576 () (tptp.in @t575 @t95))
% 0.37/0.77  (define @t577 () (not (tptp.in @t575 @t93)))
% 0.37/0.77  (define @t578 () (tptp.in @t4 @t93))
% 0.37/0.77  (define @t579 () (tptp.in @t93 @t1))
% 0.37/0.77  (define @t580 () (not @t579))
% 0.37/0.77  (define @t581 () (or @t580 @t578 @t577 @t576))
% 0.37/0.77  (define @t582 () (@list @t93 @t575))
% 0.37/0.77  (define @t583 () (forall @t582 @t581))
% 0.37/0.77  (define @t584 () (not @t583))
% 0.37/0.77  (define @t585 () (tptp.in @t19 @t104))
% 0.37/0.77  (define @t586 () (tptp.in @t19 @t95))
% 0.37/0.77  (define @t587 () (forall @t70 (or (not @t586) (not @t585))))
% 0.37/0.77  (define @t588 () (not @t587))
% 0.37/0.77  (define @t589 () (tptp.in @t4 @t104))
% 0.37/0.77  (define @t590 () (not @t589))
% 0.37/0.77  (define @t591 () (tptp.in @t95 @t1))
% 0.37/0.77  (define @t592 () (not @t591))
% 0.37/0.77  (define @t593 () (not (forall @t112 (or @t592 @t590 @t588 @t584))))
% 0.37/0.77  (define @t594 () (@var "BOUND_VARIABLE_8373" $$unsorted))
% 0.37/0.77  (define @t595 () (not (tptp.in @t594 @t104)))
% 0.37/0.77  (define @t596 () (forall @t9 (or @t590 @t467)))
% 0.37/0.77  (define @t597 () (not @t596))
% 0.37/0.77  (define @t598 () (or @t597 @t595 @t593))
% 0.37/0.77  (define @t599 () (forall (@list @t104 @t594) @t598))
% 0.37/0.77  (define @t600 () (not @t599))
% 0.37/0.77  (define @t601 () (@var "BOUND_VARIABLE_8296" $$unsorted))
% 0.37/0.77  (define @t602 () (tptp.in @t601 @t104))
% 0.37/0.77  (define @t603 () (not (tptp.in @t601 @t95)))
% 0.37/0.77  (define @t604 () (@var "BOUND_VARIABLE_8290" $$unsorted))
% 0.37/0.77  (define @t605 () (tptp.in @t604 @t95))
% 0.37/0.77  (define @t606 () (not (tptp.in @t604 @t104)))
% 0.37/0.77  (define @t607 () (tptp.in @t104 @t1))
% 0.37/0.77  (define @t608 () (not @t607))
% 0.37/0.77  (define @t609 () (or @t608 @t592 @t606 @t605 @t603 @t602))
% 0.37/0.77  (define @t610 () (@list @t104 @t95 @t604 @t601))
% 0.37/0.77  (define @t611 () (forall @t610 @t609))
% 0.37/0.77  (define @t612 () (not @t611))
% 0.37/0.77  (define @t613 () (forall @t118 (or @t608 (= @t589 @t585))))
% 0.37/0.77  (define @t614 () (not @t613))
% 0.37/0.77  (define @t615 () (forall @t135 (or @t468 @t519 @t614 @t129)))
% 0.37/0.77  (define @t616 () (not @t615))
% 0.37/0.77  (define @t617 () (@var "BOUND_VARIABLE_8239" $$unsorted))
% 0.37/0.77  (define @t618 () (tptp.in @t617 @t2))
% 0.37/0.77  (define @t619 () (not (tptp.in @t617 @t104)))
% 0.37/0.77  (define @t620 () (or @t608 @t619 @t618))
% 0.37/0.77  (define @t621 () (@list @t104 @t617))
% 0.37/0.77  (define @t622 () (forall @t621 @t620))
% 0.37/0.77  (define @t623 () (not @t622))
% 0.37/0.77  (define @t624 () (or @t623 @t616 @t612 @t600))
% 0.37/0.77  (define @t625 () (forall @t64 (not (forall @t41 @t624))))
% 0.37/0.77  (define @t626 () (=> @t625 @t574))
% 0.37/0.77  (define @t627 () (forall @t9 (or @t488 @t468)))
% 0.37/0.77  (define @t628 () (not @t627))
% 0.37/0.77  (define @t629 () (not (forall @t41 (or @t486 @t628))))
% 0.37/0.77  (define @t630 () (@var "BOUND_VARIABLE_8214" $$unsorted))
% 0.37/0.77  (define @t631 () (not (tptp.in @t630 @t2)))
% 0.37/0.77  (define @t632 () (or @t631 @t629))
% 0.37/0.77  (define @t633 () (forall (@list @t2 @t630) @t632))
% 0.37/0.77  (define @t634 () (=> @t633 @t626))
% 0.37/0.77  (define @t635 () (_ @t67 @t19 @t4))
% 0.37/0.77  (define @t636 () (not (forall @t70 (or @t519 (not @t635)))))
% 0.37/0.77  (define @t637 () (forall @t9 (= @t487 @t636)))
% 0.37/0.77  (define @t638 () (not (forall @t41 (not @t637))))
% 0.37/0.77  (define @t639 () (@var "BOUND_VARIABLE_8104" $$unsorted))
% 0.37/0.77  (define @t640 () (= @t19 @t639))
% 0.37/0.77  (define @t641 () (_ @t67 @t4 @t19))
% 0.37/0.77  (define @t642 () (not (forall @t70 (or (not @t641) @t640))))
% 0.37/0.77  (define @t643 () (_ @t67 @t4 @t639))
% 0.37/0.77  (define @t644 () (@list @t639))
% 0.37/0.77  (define @t645 () (not (forall @t644 (or (not @t643) @t642))))
% 0.37/0.77  (define @t646 () (forall @t9 (or @t468 @t645)))
% 0.37/0.77  (define @t647 () (forall @t81 (or (not @t646) @t638)))
% 0.37/0.77  (define @t648 () (=> @t647 @t634))
% 0.37/0.77  (define @t649 () (@var "BOUND_VARIABLE_8085" $$unsorted))
% 0.37/0.77  (define @t650 () (tptp.in @t649 @t2))
% 0.37/0.77  (define @t651 () (not (tptp.in @t649 tptp.omega)))
% 0.37/0.77  (define @t652 () (tptp.setadjoin @t4 @t4))
% 0.37/0.77  (define @t653 () (tptp.in @t652 @t2))
% 0.37/0.77  (define @t654 () (tptp.in @t4 tptp.omega))
% 0.37/0.77  (define @t655 () (not @t654))
% 0.37/0.77  (define @t656 () (forall @t9 (or @t655 @t468 @t653)))
% 0.37/0.77  (define @t657 () (not @t656))
% 0.37/0.77  (define @t658 () (tptp.in tptp.emptyset @t2))
% 0.37/0.77  (define @t659 () (not @t658))
% 0.37/0.77  (define @t660 () (or @t659 @t657 @t651 @t650))
% 0.37/0.77  (define @t661 () (@list @t2 @t649))
% 0.37/0.77  (define @t662 () (forall @t661 @t660))
% 0.37/0.77  (define @t663 () (=> @t662 @t648))
% 0.37/0.77  (define @t664 () (tptp.in @t652 tptp.omega))
% 0.37/0.77  (define @t665 () (forall @t9 (or @t655 @t664)))
% 0.37/0.77  (define @t666 () (=> @t665 @t663))
% 0.37/0.77  (define @t667 () (tptp.in tptp.emptyset tptp.omega))
% 0.37/0.77  (define @t668 () (=> @t50 @t666))
% 0.37/0.77  (define @t669 () (forall @t46 (= @t490 @t491)))
% 0.37/0.77  (define @t670 () (=> @t669 @t668))
% 0.37/0.77  (define @t671 () (forall @t12 (= @t504 @t497)))
% 0.37/0.77  (define @t672 () (=> @t671 @t670))
% 0.37/0.77  (define @t673 () (or @t129 @t513))
% 0.37/0.77  (define @t674 () (forall @t28 (= @t515 @t673)))
% 0.37/0.77  (define @t675 () (=> @t674 @t672))
% 0.37/0.77  (define @t676 () (=> @t555 @t675))
% 0.37/0.77  (define @t677 () (forall @t9 (= @t467 @t487)))
% 0.37/0.77  (define @t678 () (forall @t12 (or (not @t677) @t3)))
% 0.37/0.77  (define @t679 () (=> @t678 @t676))
% 0.37/0.77  (define @t680 () (=> true (=> true @t422)))
% 0.37/0.77  (define @t681 () (=> true @t680))
% 0.37/0.77  (define @t682 () (=> @t424 @t681))
% 0.37/0.77  (define @t683 () (=> @t426 @t682))
% 0.37/0.77  (define @t684 () (=> true (=> true @t683)))
% 0.37/0.77  (define @t685 () (=> true @t684))
% 0.37/0.77  (define @t686 () (=> true @t685))
% 0.37/0.77  (define @t687 () (=> @t430 @t686))
% 0.37/0.77  (define @t688 () (=> @t439 @t687))
% 0.37/0.77  (define @t689 () (=> @t444 @t688))
% 0.37/0.77  (define @t690 () (=> @t447 @t689))
% 0.37/0.77  (define @t691 () (=> @t452 @t690))
% 0.37/0.77  (define @t692 () (=> @t458 @t691))
% 0.37/0.77  (define @t693 () (=> @t461 @t692))
% 0.37/0.77  (define @t694 () (=> @t463 @t693))
% 0.37/0.77  (define @t695 () (=> @t465 @t694))
% 0.37/0.77  (define @t696 () (=> @t471 @t695))
% 0.37/0.77  (define @t697 () (=> @t478 @t696))
% 0.37/0.77  (define @t698 () (=> @t483 @t697))
% 0.37/0.77  (define @t699 () (=> @t492 @t698))
% 0.37/0.77  (define @t700 () (=> @t494 @t699))
% 0.37/0.77  (define @t701 () (=> @t498 @t700))
% 0.37/0.77  (define @t702 () (=> @t501 @t701))
% 0.37/0.77  (define @t703 () (=> @t501 @t702))
% 0.37/0.77  (define @t704 () (=> @t506 @t703))
% 0.37/0.77  (define @t705 () (=> @t511 @t704))
% 0.37/0.77  (define @t706 () (=> @t516 @t705))
% 0.37/0.77  (define @t707 () (=> @t516 @t706))
% 0.37/0.77  (define @t708 () (=> @t520 @t707))
% 0.37/0.77  (define @t709 () (=> @t220 @t708))
% 0.37/0.77  (define @t710 () (=> @t527 @t709))
% 0.37/0.77  (define @t711 () (=> @t532 @t710))
% 0.37/0.77  (define @t712 () (=> @t534 @t711))
% 0.37/0.77  (define @t713 () (=> @t471 @t712))
% 0.37/0.77  (define @t714 () (=> @t538 @t713))
% 0.37/0.77  (define @t715 () (=> @t540 @t714))
% 0.37/0.77  (define @t716 () (=> @t540 @t715))
% 0.37/0.77  (define @t717 () (=> @t546 @t716))
% 0.37/0.77  (define @t718 () (=> @t553 @t717))
% 0.37/0.77  (define @t719 () (=> @t555 @t718))
% 0.37/0.77  (define @t720 () (=> @t555 @t719))
% 0.37/0.77  (define @t721 () (=> @t555 @t720))
% 0.37/0.77  (define @t722 () (=> @t560 @t721))
% 0.37/0.77  (define @t723 () (=> @t563 (=> true @t722)))
% 0.37/0.77  (define @t724 () (=> @t565 @t723))
% 0.37/0.77  (define @t725 () (=> @t567 @t724))
% 0.37/0.77  (define @t726 () (=> @t573 @t725))
% 0.37/0.77  (define @t727 () (=> @t625 @t726))
% 0.37/0.77  (define @t728 () (=> @t633 @t727))
% 0.37/0.77  (define @t729 () (=> @t647 @t728))
% 0.37/0.77  (define @t730 () (=> @t662 @t729))
% 0.37/0.77  (define @t731 () (=> @t665 @t730))
% 0.37/0.77  (define @t732 () (=> @t50 @t731))
% 0.37/0.77  (define @t733 () (=> @t669 @t732))
% 0.37/0.77  (define @t734 () (=> @t671 @t733))
% 0.37/0.77  (define @t735 () (=> @t674 @t734))
% 0.37/0.77  (define @t736 () (=> @t555 @t735))
% 0.37/0.77  (define @t737 () (=> @t678 @t736))
% 0.37/0.77  (define @t738 () (not @t416))
% 0.37/0.77  (define @t739 () (or @t313 @t412))
% 0.37/0.77  (define @t740 () (not @t153))
% 0.37/0.77  (define @t741 () (or @t740 @t129))
% 0.37/0.77  (define @t742 () (_ @t145 @t19))
% 0.37/0.77  (define @t743 () (not @t742))
% 0.37/0.77  (define @t744 () (or @t743 @t129))
% 0.37/0.77  (define @t745 () (forall @t70 @t744))
% 0.37/0.77  (define @t746 () (not @t745))
% 0.37/0.77  (define @t747 () (_ @t145 @t4))
% 0.37/0.77  (define @t748 () (not @t747))
% 0.37/0.77  (define @t749 () (or @t748 @t746))
% 0.37/0.77  (define @t750 () (forall @t9 @t749))
% 0.37/0.77  (define @t751 () (not @t750))
% 0.37/0.77  (define @t752 () (lambda @t150 @t416))
% 0.37/0.77  (define @t753 () (_ @t752 @t145))
% 0.37/0.77  (define @t754 () (and @t144 @t411))
% 0.37/0.77  (define @t755 () (forall @t9 (not @t754)))
% 0.37/0.77  (define @t756 () (not @t755))
% 0.37/0.77  (define @t757 () (=> @t169 @t753))
% 0.37/0.77  (define @t758 () (forall @t150 @t757))
% 0.37/0.77  (define @t759 () (=> tptp.exuI1 @t422))
% 0.37/0.77  (define @t760 () (forall @t9 (or @t468 @t413)))
% 0.37/0.77  (define @t761 () (not @t760))
% 0.37/0.77  (define @t762 () (or @t196 @t144))
% 0.37/0.77  (define @t763 () (forall @t9 (not @t314)))
% 0.37/0.77  (define @t764 () (not @t763))
% 0.37/0.77  (define @t765 () (=> tptp.notdallE @t759))
% 0.37/0.77  (define @t766 () (forall @t9 (or @t468 @t414)))
% 0.37/0.77  (define @t767 () (or @t196 @t313))
% 0.37/0.77  (define @t768 () (forall @t9 (not @t304)))
% 0.37/0.77  (define @t769 () (not @t768))
% 0.37/0.77  (define @t770 () (=> tptp.notdexE @t765))
% 0.37/0.77  (define @t771 () (not true))
% 0.37/0.77  (define @t772 () (or @t771 @t424))
% 0.37/0.77  (define @t773 () (tptp.prop2set @t173))
% 0.37/0.77  (define @t774 () (tptp.set2prop @t773))
% 0.37/0.77  (define @t775 () (not @t173))
% 0.37/0.77  (define @t776 () (not (= @t173 true)))
% 0.37/0.77  (define @t777 () (or @t775 @t775 @t774))
% 0.37/0.77  (define @t778 () (or @t775 @t774))
% 0.37/0.77  (define @t779 () (or @t775 @t335))
% 0.37/0.77  (define @t780 () (=> tptp.prop2set2propI @t770))
% 0.37/0.77  (define @t781 () (or @t771 @t426))
% 0.37/0.77  (define @t782 () (tptp.in tptp.emptyset @t773))
% 0.37/0.77  (define @t783 () (or @t775 @t775 @t782))
% 0.37/0.77  (define @t784 () (or @t775 @t782))
% 0.37/0.77  (define @t785 () (or @t775 @t332))
% 0.37/0.77  (define @t786 () (=> tptp.prop2setI @t780))
% 0.37/0.77  (define @t787 () (=> tptp.quantDeMorgan4 @t786))
% 0.37/0.77  (define @t788 () (=> tptp.quantDeMorgan3 @t787))
% 0.37/0.77  (define @t789 () (=> tptp.quantDeMorgan2 @t788))
% 0.37/0.77  (define @t790 () (=> tptp.quantDeMorgan1 @t789))
% 0.37/0.77  (define @t791 () (or @t16 @t144))
% 0.37/0.77  (define @t792 () (=> tptp.vacuousDall @t790))
% 0.37/0.77  (define @t793 () (or @t434 @t433))
% 0.37/0.77  (define @t794 () (or @t793 @t436))
% 0.37/0.77  (define @t795 () (forall @t438 @t794))
% 0.37/0.77  (define @t796 () (@list @t432))
% 0.37/0.77  (define @t797 () (forall @t796 @t794))
% 0.37/0.77  (define @t798 () (forall @t796 @t793))
% 0.37/0.77  (define @t799 () (@list @t4))
% 0.37/0.77  (define @t800 () (or @t798 @t436))
% 0.37/0.77  (define @t801 () (lambda @t9 @t413))
% 0.37/0.77  (define @t802 () (tptp.dsetconstr @t2 @t801))
% 0.37/0.77  (define @t803 () (= tptp.emptyset @t802))
% 0.37/0.77  (define @t804 () (not @t803))
% 0.37/0.77  (define @t805 () (or @t766 @t804))
% 0.37/0.77  (define @t806 () (= tptp.emptyset @t302))
% 0.37/0.77  (define @t807 () (not @t806))
% 0.37/0.77  (define @t808 () (or @t766 @t807))
% 0.37/0.77  (define @t809 () (not @t766))
% 0.37/0.77  (define @t810 () (=> tptp.emptyE1 @t792))
% 0.37/0.77  (define @t811 () (=> tptp.upairsetIR @t810))
% 0.37/0.77  (define @t812 () (=> tptp.upairsetIL @t811))
% 0.37/0.77  (define @t813 () (not @t291))
% 0.37/0.77  (define @t814 () (or @t813 @t450 @t449))
% 0.37/0.77  (define @t815 () (or @t450 @t449))
% 0.37/0.77  (define @t816 () (=> tptp.upairsetE @t812))
% 0.37/0.77  (define @t817 () (not @t274))
% 0.37/0.77  (define @t818 () (or @t817 @t278))
% 0.37/0.77  (define @t819 () (=> tptp.singletonsswitch @t816))
% 0.37/0.77  (define @t820 () (not (= @t19 @t19)))
% 0.37/0.77  (define @t821 () (or @t820 @t460))
% 0.37/0.77  (define @t822 () (or @t280 @t280 @t456))
% 0.37/0.77  (define @t823 () (or @t280 @t456))
% 0.37/0.77  (define @t824 () (forall @t9 @t823))
% 0.37/0.77  (define @t825 () (forall @t70 @t824))
% 0.37/0.77  (define @t826 () (forall (@list @t19 @t4) @t823))
% 0.37/0.77  (define @t827 () (or @t280 @t274))
% 0.37/0.77  (define @t828 () (=> tptp.eqinunit @t819))
% 0.37/0.77  (define @t829 () (or @t129 @t279))
% 0.37/0.77  (define @t830 () (=> tptp.notinsingleton @t828))
% 0.37/0.77  (define @t831 () (or @t817 @t129))
% 0.37/0.77  (define @t832 () (=> tptp.uniqinunit @t830))
% 0.37/0.77  (define @t833 () (not @t195))
% 0.37/0.77  (define @t834 () (not @t197))
% 0.37/0.77  (define @t835 () (_ @t408 @t2))
% 0.37/0.77  (define @t836 () (=> @t835 @t269))
% 0.37/0.77  (define @t837 () (forall @t64 @t836))
% 0.37/0.77  (define @t838 () (=> tptp.nonemptyImpWitness @t832))
% 0.37/0.77  (define @t839 () (or @t410 (= @t473 @t19)))
% 0.37/0.77  (define @t840 () (forall @t70 @t839))
% 0.37/0.77  (define @t841 () (not @t840))
% 0.37/0.77  (define @t842 () (or @t476 @t474 @t841))
% 0.37/0.77  (define @t843 () (or @t474 @t841))
% 0.37/0.77  (define @t844 () (or @t843 @t476))
% 0.37/0.77  (define @t845 () (forall @t477 @t844))
% 0.37/0.77  (define @t846 () (@list @t473))
% 0.37/0.77  (define @t847 () (forall @t846 @t844))
% 0.37/0.77  (define @t848 () (forall @t846 @t843))
% 0.37/0.77  (define @t849 () (or @t848 @t476))
% 0.37/0.77  (define @t850 () (= @t153 @t129))
% 0.37/0.77  (define @t851 () (=> @t753 @t264))
% 0.37/0.77  (define @t852 () (forall @t150 @t851))
% 0.37/0.77  (define @t853 () (=> tptp.exuE2 @t838))
% 0.37/0.77  (define @t854 () (or @t196 @t259))
% 0.37/0.77  (define @t855 () (=> tptp.subPowSU @t853))
% 0.37/0.77  (define @t856 () (not @t44))
% 0.37/0.77  (define @t857 () (or @t856 @t490))
% 0.37/0.77  (define @t858 () (not false))
% 0.37/0.77  (define @t859 () (and @t858 @t490))
% 0.37/0.77  (define @t860 () (or @t859 false))
% 0.37/0.77  (define @t861 () (and @t775 @t490))
% 0.37/0.77  (define @t862 () (not (= @t173 false)))
% 0.37/0.77  (define @t863 () (or @t173 @t861 @t173))
% 0.37/0.77  (define @t864 () (or @t861 @t173))
% 0.37/0.77  (define @t865 () (or @t173 @t489))
% 0.37/0.77  (define @t866 () (not @t39))
% 0.37/0.77  (define @t867 () (not @t6))
% 0.37/0.77  (define @t868 () (or @t867 @t866))
% 0.37/0.77  (define @t869 () (forall @t41 @t868))
% 0.37/0.77  (define @t870 () (or @t173 @t869))
% 0.37/0.77  (define @t871 () (or @t173 @t868))
% 0.37/0.77  (define @t872 () (or @t867 @t866 @t173))
% 0.37/0.77  (define @t873 () (=> tptp.setunionE @t855))
% 0.37/0.77  (define @t874 () (or @t867 @t866 @t44))
% 0.37/0.77  (define @t875 () (=> tptp.setunionI @t873))
% 0.37/0.77  (define @t876 () (not @t35))
% 0.37/0.77  (define @t877 () (or @t876 @t867 @t7))
% 0.37/0.77  (define @t878 () (or @t867 @t7))
% 0.37/0.77  (define @t879 () (=> tptp.powersetE @t875))
% 0.37/0.77  (define @t880 () (=> tptp.emptyInPowerset @t879))
% 0.37/0.77  (define @t881 () (=> tptp.emptyinPowerset @t880))
% 0.37/0.77  (define @t882 () (or @t505 @t35))
% 0.37/0.77  (define @t883 () (=> tptp.powersetI @t881))
% 0.37/0.77  (define @t884 () (_ @t155 @t509))
% 0.37/0.77  (define @t885 () (= @t2 @t884))
% 0.37/0.77  (define @t886 () (=> tptp.setoftrueEq @t883))
% 0.37/0.77  (define @t887 () (not @t26))
% 0.37/0.77  (define @t888 () (or @t887 @t129 @t21))
% 0.37/0.77  (define @t889 () (or @t129 @t21))
% 0.37/0.77  (define @t890 () (=> tptp.setadjoinOr @t886))
% 0.37/0.77  (define @t891 () (or @t887 @t129 @t513))
% 0.37/0.77  (define @t892 () (and @t513 @t858))
% 0.37/0.77  (define @t893 () (and @t129 @t858))
% 0.37/0.77  (define @t894 () (or @t893 @t892))
% 0.37/0.77  (define @t895 () (or @t893 @t892 false))
% 0.37/0.77  (define @t896 () (and @t513 @t775))
% 0.37/0.77  (define @t897 () (and @t129 @t775))
% 0.37/0.77  (define @t898 () (or @t173 @t897 @t896 @t173))
% 0.37/0.77  (define @t899 () (or @t897 @t896 @t173))
% 0.37/0.77  (define @t900 () (and @t21 @t775))
% 0.37/0.77  (define @t901 () (or @t897 @t900 @t173))
% 0.37/0.77  (define @t902 () (=> @t129 @t173))
% 0.37/0.77  (define @t903 () (=> tptp.setadjoinE @t890))
% 0.37/0.77  (define @t904 () (not @t21))
% 0.37/0.77  (define @t905 () (or @t904 @t26))
% 0.37/0.77  (define @t906 () (=> tptp.setadjoinIR @t903))
% 0.37/0.77  (define @t907 () (=> tptp.emptyinunitempty @t906))
% 0.37/0.77  (define @t908 () (=> tptp.setadjoinIL @t907))
% 0.37/0.77  (define @t909 () (not (= tptp.emptyset tptp.emptyset)))
% 0.37/0.77  (define @t910 () (or @t530 @t909))
% 0.37/0.77  (define @t911 () (not (tptp.in @t529 @t2)))
% 0.37/0.77  (define @t912 () (or @t833 @t911 @t833))
% 0.37/0.77  (define @t913 () (or @t911 @t833))
% 0.37/0.77  (define @t914 () (forall @t64 @t913))
% 0.37/0.77  (define @t915 () (forall @t531 @t914))
% 0.37/0.77  (define @t916 () (forall (@list @t529 @t2) @t913))
% 0.37/0.77  (define @t917 () (forall (@list @t2 @t529) @t913))
% 0.37/0.77  (define @t918 () (forall @t531 @t913))
% 0.37/0.77  (define @t919 () (forall @t531 @t911))
% 0.37/0.77  (define @t920 () (or @t919 @t833))
% 0.37/0.77  (define @t921 () (not @t470))
% 0.37/0.77  (define @t922 () (=> @t89 @t835))
% 0.37/0.77  (define @t923 () (forall @t64 @t922))
% 0.37/0.77  (define @t924 () (=> tptp.nonemptyI1 @t908))
% 0.37/0.77  (define @t925 () (lambda @t70 @t409))
% 0.37/0.77  (define @t926 () (tptp.dsetconstr @t2 @t925))
% 0.37/0.77  (define @t927 () (= tptp.emptyset @t926))
% 0.37/0.77  (define @t928 () (not @t927))
% 0.37/0.77  (define @t929 () (or @t468 @t414 @t928))
% 0.37/0.77  (define @t930 () (= tptp.emptyset @t156))
% 0.37/0.77  (define @t931 () (not @t930))
% 0.37/0.77  (define @t932 () (or @t196 @t313 @t931))
% 0.37/0.77  (define @t933 () (=> @t144 @t931))
% 0.37/0.77  (define @t934 () (not (= @t156 tptp.emptyset)))
% 0.37/0.77  (define @t935 () (_ @t408 @t156))
% 0.37/0.77  (define @t936 () (=> @t144 @t935))
% 0.37/0.77  (define @t937 () (=> @t7 @t936))
% 0.37/0.77  (define @t938 () (forall @t159 @t937))
% 0.37/0.77  (define @t939 () (=> tptp.nonemptyI @t924))
% 0.37/0.77  (define @t940 () (=> @t835 @t89))
% 0.37/0.77  (define @t941 () (forall @t64 @t940))
% 0.37/0.77  (define @t942 () (=> tptp.nonemptyE1 @t939))
% 0.37/0.77  (define @t943 () (tptp.in @t4 @t926))
% 0.37/0.77  (define @t944 () (= @t413 @t943))
% 0.37/0.77  (define @t945 () (or @t468 @t944))
% 0.37/0.77  (define @t946 () (= @t144 @t157))
% 0.37/0.77  (define @t947 () (or @t196 @t946))
% 0.37/0.77  (define @t948 () (=> tptp.setbeta @t942))
% 0.37/0.77  (define @t949 () (=> tptp.noeltsimpempty @t948))
% 0.37/0.77  (define @t950 () (=> tptp.emptyI @t949))
% 0.37/0.77  (define @t951 () (=> @t504 @t3))
% 0.37/0.77  (define @t952 () (or @t196 @t6))
% 0.37/0.77  (define @t953 () (=> tptp.setext @t950))
% 0.37/0.77  (define @t954 () (or @t410 (= @t548 @t19)))
% 0.37/0.77  (define @t955 () (forall @t70 @t954))
% 0.37/0.77  (define @t956 () (not @t955))
% 0.37/0.77  (define @t957 () (or @t551 @t549 @t956))
% 0.37/0.77  (define @t958 () (or @t549 @t956))
% 0.37/0.77  (define @t959 () (or @t958 @t551))
% 0.37/0.77  (define @t960 () (forall @t552 @t959))
% 0.37/0.77  (define @t961 () (@list @t548))
% 0.37/0.77  (define @t962 () (forall @t961 @t959))
% 0.37/0.77  (define @t963 () (forall @t961 @t958))
% 0.37/0.77  (define @t964 () (or @t963 @t551))
% 0.37/0.77  (define @t965 () (forall @t9 @t313))
% 0.37/0.77  (define @t966 () (not @t965))
% 0.37/0.77  (define @t967 () (=> @t753 @t186))
% 0.37/0.77  (define @t968 () (forall @t150 @t967))
% 0.37/0.77  (define @t969 () (=> tptp.exuE3e @t953))
% 0.37/0.77  (define @t970 () (=> tptp.notinemptyset @t969))
% 0.37/0.77  (define @t971 () (=> tptp.emptysetimpfalse @t970))
% 0.37/0.77  (define @t972 () (or @t173 @t173))
% 0.37/0.77  (define @t973 () (=> tptp.emptysetE @t971))
% 0.37/0.77  (define @t974 () (or @t559 false))
% 0.37/0.77  (define @t975 () (tptp.in @t4 @t773))
% 0.37/0.77  (define @t976 () (not @t975))
% 0.37/0.77  (define @t977 () (or @t173 @t976 @t173))
% 0.37/0.77  (define @t978 () (or @t976 @t173))
% 0.37/0.77  (define @t979 () (forall @t179 @t978))
% 0.37/0.77  (define @t980 () (forall @t9 @t979))
% 0.37/0.77  (define @t981 () (forall (@list @t4 @t173) @t978))
% 0.37/0.77  (define @t982 () (not @t175))
% 0.37/0.77  (define @t983 () (or @t982 @t173))
% 0.37/0.77  (define @t984 () (=> tptp.prop2setE @t973))
% 0.37/0.77  (define @t985 () (=> @t753 @t169))
% 0.37/0.77  (define @t986 () (forall @t150 @t985))
% 0.37/0.77  (define @t987 () (=> tptp.exuE1 @t984))
% 0.37/0.77  (define @t988 () (not @t943))
% 0.37/0.77  (define @t989 () (or @t988 @t413))
% 0.37/0.77  (define @t990 () (not @t157))
% 0.37/0.77  (define @t991 () (or @t990 @t144))
% 0.37/0.77  (define @t992 () (=> tptp.dsetconstrER @t987))
% 0.37/0.77  (define @t993 () (or @t988 @t467))
% 0.37/0.77  (define @t994 () (or @t990 @t7))
% 0.37/0.77  (define @t995 () (=> tptp.dsetconstrEL @t992))
% 0.37/0.77  (define @t996 () (or @t468 @t414 @t943))
% 0.37/0.77  (define @t997 () (or @t196 @t313 @t157))
% 0.37/0.77  (define @t998 () (=> tptp.dsetconstrI @t995))
% 0.37/0.77  (define @t999 () (or @t410 (= @t569 @t19)))
% 0.37/0.77  (define @t1000 () (forall @t70 @t999))
% 0.37/0.77  (define @t1001 () (not @t1000))
% 0.37/0.77  (define @t1002 () (or @t571 @t570 @t1001))
% 0.37/0.77  (define @t1003 () (or @t570 @t1001))
% 0.37/0.77  (define @t1004 () (or @t1003 @t571))
% 0.37/0.77  (define @t1005 () (forall @t572 @t1004))
% 0.37/0.77  (define @t1006 () (@list @t569))
% 0.37/0.77  (define @t1007 () (forall @t1006 @t1004))
% 0.37/0.77  (define @t1008 () (forall @t1006 @t1003))
% 0.37/0.77  (define @t1009 () (or @t1008 @t571))
% 0.37/0.77  (define @t1010 () (tptp.descr @t801))
% 0.37/0.77  (define @t1011 () (_ @t143 @t1010))
% 0.37/0.77  (define @t1012 () (or @t415 @t1011))
% 0.37/0.77  (define @t1013 () (or @t415 @t147))
% 0.37/0.77  (define @t1014 () (=> @t753 @t147))
% 0.37/0.77  (define @t1015 () (forall @t150 @t1014))
% 0.37/0.77  (define @t1016 () (=> tptp.descrp @t998))
% 0.37/0.77  (define @t1017 () (and @t622 @t615 @t611 @t599))
% 0.37/0.77  (define @t1018 () (forall @t41 (not @t1017)))
% 0.37/0.77  (define @t1019 () (not @t1018))
% 0.37/0.77  (define @t1020 () (@list @t594))
% 0.37/0.77  (define @t1021 () (forall @t1020 @t598))
% 0.37/0.77  (define @t1022 () (forall @t1020 @t595))
% 0.37/0.77  (define @t1023 () (or @t597 @t1022 @t593))
% 0.37/0.77  (define @t1024 () (forall @t9 @t590))
% 0.37/0.77  (define @t1025 () (or @t597 @t1024 @t593))
% 0.37/0.77  (define @t1026 () (not @t1024))
% 0.37/0.77  (define @t1027 () (and @t596 @t1026))
% 0.37/0.77  (define @t1028 () (not @t109))
% 0.37/0.77  (define @t1029 () (not @t110))
% 0.37/0.77  (define @t1030 () (or @t1029 @t1028 @t588 @t584))
% 0.37/0.77  (define @t1031 () (and @t110 @t109 @t587 @t583))
% 0.37/0.77  (define @t1032 () (forall @t112 (not @t1031)))
% 0.37/0.77  (define @t1033 () (not @t1032))
% 0.37/0.77  (define @t1034 () (or @t577 @t576))
% 0.37/0.77  (define @t1035 () (or @t580 @t1034 @t578))
% 0.37/0.77  (define @t1036 () (forall @t582 @t1035))
% 0.37/0.77  (define @t1037 () (@list @t575))
% 0.37/0.77  (define @t1038 () (forall @t1037 @t1035))
% 0.37/0.77  (define @t1039 () (forall @t1037 @t1034))
% 0.37/0.77  (define @t1040 () (or @t580 @t1039 @t578))
% 0.37/0.77  (define @t1041 () (tptp.in @t19 @t93))
% 0.37/0.77  (define @t1042 () (forall @t70 (or (not @t1041) @t586)))
% 0.37/0.77  (define @t1043 () (not @t100))
% 0.37/0.77  (define @t1044 () (or @t1043 @t1042 @t94))
% 0.37/0.77  (define @t1045 () (or @t1042 @t94))
% 0.37/0.77  (define @t1046 () (not @t97))
% 0.37/0.77  (define @t1047 () (or @t1046 @t96))
% 0.37/0.77  (define @t1048 () (not @t105))
% 0.37/0.77  (define @t1049 () (not @t96))
% 0.37/0.77  (define @t1050 () (or @t1049 @t1048))
% 0.37/0.77  (define @t1051 () (forall @t70 (not @t106)))
% 0.37/0.77  (define @t1052 () (not @t1051))
% 0.37/0.77  (define @t1053 () (forall @t9 @t1028))
% 0.37/0.77  (define @t1054 () (not @t1053))
% 0.37/0.77  (define @t1055 () (or @t1028 @t7))
% 0.37/0.77  (define @t1056 () (or @t603 @t602))
% 0.37/0.77  (define @t1057 () (or @t606 @t605))
% 0.37/0.77  (define @t1058 () (or @t608 @t592 @t1057 @t1056))
% 0.37/0.77  (define @t1059 () (forall @t610 @t1058))
% 0.37/0.77  (define @t1060 () (forall (@list @t604 @t601) @t1058))
% 0.37/0.77  (define @t1061 () (forall (@list @t601) @t1056))
% 0.37/0.77  (define @t1062 () (forall (@list @t604) @t1057))
% 0.37/0.77  (define @t1063 () (or @t608 @t592 @t1062 @t1061))
% 0.37/0.77  (define @t1064 () (tptp.in @t4 @t95))
% 0.37/0.77  (define @t1065 () (forall @t9 (or (not @t1064) @t589)))
% 0.37/0.77  (define @t1066 () (forall @t9 (or @t590 @t1064)))
% 0.37/0.77  (define @t1067 () (not @t124))
% 0.37/0.77  (define @t1068 () (or @t1067 @t1029 @t1066 @t1065))
% 0.37/0.77  (define @t1069 () (or @t1066 @t1065))
% 0.37/0.77  (define @t1070 () (not @t120))
% 0.37/0.77  (define @t1071 () (or @t1070 @t109))
% 0.37/0.77  (define @t1072 () (or @t1028 @t120))
% 0.37/0.77  (define @t1073 () (or @t196 @t904 @t614 @t129))
% 0.37/0.77  (define @t1074 () (=> @t613 @t129))
% 0.37/0.77  (define @t1075 () (or @t1067 @t130))
% 0.37/0.77  (define @t1076 () (or @t619 @t618))
% 0.37/0.77  (define @t1077 () (or @t608 @t1076))
% 0.37/0.77  (define @t1078 () (forall @t621 @t1077))
% 0.37/0.77  (define @t1079 () (@list @t617))
% 0.37/0.77  (define @t1080 () (forall @t1079 @t1077))
% 0.37/0.77  (define @t1081 () (forall @t1079 @t1076))
% 0.37/0.77  (define @t1082 () (or @t608 @t1081))
% 0.37/0.77  (define @t1083 () (or @t1067 @t596))
% 0.37/0.77  (define @t1084 () (=> tptp.wellorderingAx @t1016))
% 0.37/0.77  (define @t1085 () (@list @t630))
% 0.37/0.77  (define @t1086 () (forall @t1085 @t632))
% 0.37/0.77  (define @t1087 () (forall @t1085 @t631))
% 0.37/0.77  (define @t1088 () (or @t1087 @t629))
% 0.37/0.77  (define @t1089 () (or @t866 @t628))
% 0.37/0.77  (define @t1090 () (and @t39 @t627))
% 0.37/0.77  (define @t1091 () (forall @t41 (not @t1090)))
% 0.37/0.77  (define @t1092 () (not @t1091))
% 0.37/0.77  (define @t1093 () (or @t867 @t196))
% 0.37/0.77  (define @t1094 () (forall @t9 (not @t84)))
% 0.37/0.77  (define @t1095 () (not @t1094))
% 0.37/0.77  (define @t1096 () (=> tptp.foundationAx @t1084))
% 0.37/0.77  (define @t1097 () (= @t6 @t636))
% 0.37/0.77  (define @t1098 () (not @t68))
% 0.37/0.77  (define @t1099 () (or @t904 @t1098))
% 0.37/0.77  (define @t1100 () (forall @t70 (not @t69)))
% 0.37/0.77  (define @t1101 () (not @t1100))
% 0.37/0.77  (define @t1102 () (or @t196 @t645))
% 0.37/0.77  (define @t1103 () (_ @t75 @t639))
% 0.37/0.77  (define @t1104 () (not @t1103))
% 0.37/0.77  (define @t1105 () (or @t1104 @t642))
% 0.37/0.77  (define @t1106 () (not @t76))
% 0.37/0.77  (define @t1107 () (or @t1106 @t640))
% 0.37/0.77  (define @t1108 () (_ @t77 @t19))
% 0.37/0.77  (define @t1109 () (not @t1108))
% 0.37/0.77  (define @t1110 () (or @t1109 @t640))
% 0.37/0.77  (define @t1111 () (forall @t70 @t1110))
% 0.37/0.77  (define @t1112 () (not @t1111))
% 0.37/0.77  (define @t1113 () (_ @t77 @t639))
% 0.37/0.77  (define @t1114 () (not @t1113))
% 0.37/0.77  (define @t1115 () (or @t1114 @t1112))
% 0.37/0.77  (define @t1116 () (forall @t644 @t1115))
% 0.37/0.77  (define @t1117 () (not @t1116))
% 0.37/0.77  (define @t1118 () (not (_ @t143 @t639)))
% 0.37/0.77  (define @t1119 () (or @t410 (= @t639 @t19)))
% 0.37/0.77  (define @t1120 () (forall @t70 @t1119))
% 0.37/0.77  (define @t1121 () (not @t1120))
% 0.37/0.77  (define @t1122 () (or @t1118 @t1121))
% 0.37/0.77  (define @t1123 () (forall @t644 @t1122))
% 0.37/0.77  (define @t1124 () (not @t1123))
% 0.37/0.77  (define @t1125 () (=> @t7 (_ @t752 @t77)))
% 0.37/0.77  (define @t1126 () (forall @t9 @t1125))
% 0.37/0.77  (define @t1127 () (=> @t1126 @t74))
% 0.37/0.77  (define @t1128 () (forall @t81 @t1127))
% 0.37/0.77  (define @t1129 () (=> tptp.replAx @t1096))
% 0.37/0.77  (define @t1130 () (or @t651 @t650))
% 0.37/0.77  (define @t1131 () (or @t659 @t657 @t1130))
% 0.37/0.77  (define @t1132 () (forall @t661 @t1131))
% 0.37/0.77  (define @t1133 () (@list @t649))
% 0.37/0.77  (define @t1134 () (forall @t1133 @t1131))
% 0.37/0.77  (define @t1135 () (forall @t1133 @t1130))
% 0.37/0.77  (define @t1136 () (or @t659 @t657 @t1135))
% 0.37/0.77  (define @t1137 () (forall @t9 (or @t655 @t467)))
% 0.37/0.77  (define @t1138 () (not @t61))
% 0.37/0.77  (define @t1139 () (or @t1138 @t657 @t1137))
% 0.37/0.77  (define @t1140 () (and @t61 @t656))
% 0.37/0.77  (define @t1141 () (not @t54))
% 0.37/0.77  (define @t1142 () (or @t1141 @t7))
% 0.37/0.77  (define @t1143 () (_ tptp.in @t652))
% 0.37/0.77  (define @t1144 () (or @t1141 @t196 @t58))
% 0.37/0.77  (define @t1145 () (=> tptp.omegaIndAx @t1129))
% 0.37/0.77  (define @t1146 () (or @t1141 @t53))
% 0.37/0.77  (define @t1147 () (=> tptp.omegaSAx @t1145))
% 0.37/0.77  (define @t1148 () (=> tptp.omega0Ax @t1147))
% 0.37/0.77  (define @t1149 () (= @t44 @t490))
% 0.37/0.77  (define @t1150 () (forall @t41 (not @t40)))
% 0.37/0.77  (define @t1151 () (not @t1150))
% 0.37/0.77  (define @t1152 () (=> tptp.setunionAx @t1148))
% 0.37/0.77  (define @t1153 () (= @t35 @t504))
% 0.37/0.77  (define @t1154 () (=> tptp.powersetAx @t1152))
% 0.37/0.77  (define @t1155 () (= @t26 @t889))
% 0.37/0.77  (define @t1156 () (=> tptp.setadjoinAx @t1154))
% 0.37/0.77  (define @t1157 () (=> tptp.emptysetAx @t1156))
% 0.37/0.77  (define @t1158 () (=> tptp.setextAx @t1157))
% 0.37/0.77  (define @t1159 () (@list @t419))
% 0.37/0.77  (define @t1160 () (forall @t1159 @t421))
% 0.37/0.77  (define @t1161 () (forall @t1159 @t420))
% 0.37/0.77  (define @t1162 () (or @t1161 @t418 @t416))
% 0.37/0.77  (define @t1163 () (or @t550 @t418 @t416))
% 0.37/0.77  (define @t1164 () (=> @t417 @t416))
% 0.37/0.77  (define @t1165 () (or @t313 @t740 @t129))
% 0.37/0.77  (define @t1166 () (=> @t341 @t753))
% 0.37/0.77  (define @t1167 () (=> @t186 @t1166))
% 0.37/0.77  (define @t1168 () (forall @t150 @t1167))
% 0.37/0.77  (define @t1169 () (=> tptp.exuI1 @t1168))
% 0.37/0.77  (define @t1170 () (=> tptp.notdallE @t1169))
% 0.37/0.77  (define @t1171 () (=> tptp.notdexE @t1170))
% 0.37/0.77  (define @t1172 () (=> tptp.prop2set2propI @t1171))
% 0.37/0.77  (define @t1173 () (=> tptp.prop2setI @t1172))
% 0.37/0.77  (define @t1174 () (=> tptp.quantDeMorgan4 @t1173))
% 0.37/0.77  (define @t1175 () (=> tptp.quantDeMorgan3 @t1174))
% 0.37/0.77  (define @t1176 () (=> tptp.quantDeMorgan2 @t1175))
% 0.37/0.77  (define @t1177 () (=> tptp.quantDeMorgan1 @t1176))
% 0.37/0.77  (define @t1178 () (=> tptp.vacuousDall @t1177))
% 0.37/0.77  (define @t1179 () (=> tptp.emptyE1 @t1178))
% 0.37/0.77  (define @t1180 () (=> tptp.upairsetIR @t1179))
% 0.37/0.77  (define @t1181 () (=> tptp.upairsetIL @t1180))
% 0.37/0.77  (define @t1182 () (=> tptp.upairsetE @t1181))
% 0.37/0.77  (define @t1183 () (=> tptp.singletonsswitch @t1182))
% 0.37/0.77  (define @t1184 () (=> tptp.eqinunit @t1183))
% 0.37/0.77  (define @t1185 () (=> tptp.notinsingleton @t1184))
% 0.37/0.77  (define @t1186 () (=> tptp.uniqinunit @t1185))
% 0.37/0.77  (define @t1187 () (=> tptp.nonemptyImpWitness @t1186))
% 0.37/0.77  (define @t1188 () (=> tptp.exuE2 @t1187))
% 0.37/0.77  (define @t1189 () (=> tptp.subPowSU @t1188))
% 0.37/0.77  (define @t1190 () (=> tptp.setunionE @t1189))
% 0.37/0.77  (define @t1191 () (=> tptp.setunionI @t1190))
% 0.37/0.77  (define @t1192 () (=> tptp.powersetE @t1191))
% 0.37/0.77  (define @t1193 () (=> tptp.emptyInPowerset @t1192))
% 0.37/0.77  (define @t1194 () (=> tptp.emptyinPowerset @t1193))
% 0.37/0.77  (define @t1195 () (=> tptp.powersetI @t1194))
% 0.37/0.77  (define @t1196 () (=> tptp.setoftrueEq @t1195))
% 0.37/0.77  (define @t1197 () (=> tptp.setadjoinOr @t1196))
% 0.37/0.77  (define @t1198 () (=> tptp.setadjoinE @t1197))
% 0.37/0.77  (define @t1199 () (=> tptp.setadjoinIR @t1198))
% 0.37/0.77  (define @t1200 () (=> tptp.emptyinunitempty @t1199))
% 0.37/0.77  (define @t1201 () (=> tptp.setadjoinIL @t1200))
% 0.37/0.77  (define @t1202 () (=> tptp.nonemptyI1 @t1201))
% 0.37/0.77  (define @t1203 () (=> tptp.nonemptyI @t1202))
% 0.37/0.77  (define @t1204 () (=> tptp.nonemptyE1 @t1203))
% 0.37/0.77  (define @t1205 () (=> tptp.setbeta @t1204))
% 0.37/0.77  (define @t1206 () (=> tptp.noeltsimpempty @t1205))
% 0.37/0.77  (define @t1207 () (=> tptp.emptyI @t1206))
% 0.37/0.77  (define @t1208 () (=> tptp.setext @t1207))
% 0.37/0.77  (define @t1209 () (=> tptp.exuE3e @t1208))
% 0.37/0.77  (define @t1210 () (=> tptp.notinemptyset @t1209))
% 0.37/0.77  (define @t1211 () (=> tptp.emptysetimpfalse @t1210))
% 0.37/0.77  (define @t1212 () (=> tptp.emptysetE @t1211))
% 0.37/0.77  (define @t1213 () (=> tptp.prop2setE @t1212))
% 0.37/0.77  (define @t1214 () (=> tptp.exuE1 @t1213))
% 0.37/0.77  (define @t1215 () (=> tptp.dsetconstrER @t1214))
% 0.37/0.77  (define @t1216 () (=> tptp.dsetconstrEL @t1215))
% 0.37/0.77  (define @t1217 () (=> tptp.dsetconstrI @t1216))
% 0.37/0.77  (define @t1218 () (=> tptp.descrp @t1217))
% 0.37/0.77  (define @t1219 () (=> tptp.wellorderingAx @t1218))
% 0.37/0.77  (define @t1220 () (=> tptp.foundationAx @t1219))
% 0.37/0.77  (define @t1221 () (=> tptp.replAx @t1220))
% 0.37/0.77  (define @t1222 () (=> tptp.omegaIndAx @t1221))
% 0.37/0.77  (define @t1223 () (=> tptp.omegaSAx @t1222))
% 0.37/0.77  (define @t1224 () (=> tptp.omega0Ax @t1223))
% 0.37/0.77  (define @t1225 () (=> tptp.setunionAx @t1224))
% 0.37/0.77  (define @t1226 () (=> tptp.powersetAx @t1225))
% 0.37/0.77  (define @t1227 () (=> tptp.setadjoinAx @t1226))
% 0.37/0.77  (define @t1228 () (=> tptp.emptysetAx @t1227))
% 0.37/0.77  (define @t1229 () (=> tptp.setextAx @t1228))
% 0.37/0.77  (define @t1230 () (@quantifiers_skolemize @t422 0))
% 0.37/0.77  (define @t1231 () (not (_ @t1230 @t19)))
% 0.37/0.77  (define @t1232 () (not (_ @t1230 @t4)))
% 0.37/0.77  (define @t1233 () (forall @t135 (or @t1232 @t1231 @t129)))
% 0.37/0.77  (define @t1234 () (forall @t9 (or @t1232 (not (forall @t70 (or @t1231 @t129))))))
% 0.37/0.77  (define @t1235 () (not @t1234))
% 0.37/0.77  (define @t1236 () (not @t1233))
% 0.37/0.77  (define @t1237 () (@quantifiers_skolemize @t422 1))
% 0.37/0.77  (define @t1238 () (_ @t1230 @t1237))
% 0.37/0.77  (define @t1239 () (not @t1238))
% 0.37/0.77  (define @t1240 () (or @t1239 @t1236 @t1235))
% 0.37/0.77  (define @t1241 () (@list true))
% 0.37/0.77  (define @t1242 () (@list @t1240))
% 0.37/0.77  (define @t1243 () (or @t1231 (= @t1237 @t19)))
% 0.37/0.77  (define @t1244 () (forall @t70 @t1243))
% 0.37/0.77  (define @t1245 () (not @t1244))
% 0.37/0.77  (define @t1246 () (or @t1239 @t1245))
% 0.37/0.77  (define @t1247 () (forall @t70 (or @t1231 (= @t19 @t1237))))
% 0.37/0.77  (define @t1248 () (not @t1247))
% 0.37/0.77  (define @t1249 () (or @t1239 @t1248))
% 0.37/0.77  (define @t1250 () (@quantifiers_skolemize @t1247 0))
% 0.37/0.77  (define @t1251 () (= @t1237 @t1250))
% 0.37/0.77  (define @t1252 () (_ @t1230 @t1250))
% 0.37/0.77  (define @t1253 () (not @t1252))
% 0.37/0.77  (define @t1254 () (or @t1253 @t1251))
% 0.37/0.77  (define @t1255 () (not @t1254))
% 0.37/0.77  (define @t1256 () (or @t1253 (= @t1250 @t1237)))
% 0.37/0.77  (define @t1257 () (not @t1256))
% 0.37/0.77  (define @t1258 () (@list @t1254))
% 0.37/0.77  (define @t1259 () (or @t1239 @t1253 @t1251))
% 0.37/0.77  (define @t1260 () (not @t1259))
% 0.37/0.77  (assume @p1 @t14)
% 0.37/0.77  (assume @p2 @t18)
% 0.37/0.77  (assume @p3 @t30)
% 0.37/0.77  (assume @p4 @t38)
% 0.37/0.77  (assume @p5 @t48)
% 0.37/0.77  (assume @p6 (= tptp.omega0Ax @t50))
% 0.37/0.77  (assume @p7 @t56)
% 0.37/0.77  (assume @p8 @t66)
% 0.37/0.77  (assume @p9 @t83)
% 0.37/0.77  (assume @p10 @t92)
% 0.37/0.77  (assume @p11 @t142)
% 0.37/0.77  (assume @p12 @t152)
% 0.37/0.77  (assume @p13 @t161)
% 0.37/0.77  (assume @p14 @t163)
% 0.37/0.77  (assume @p15 @t165)
% 0.37/0.77  (assume @p16 @t172)
% 0.37/0.77  (assume @p17 @t178)
% 0.37/0.77  (assume @p18 @t183)
% 0.37/0.77  (assume @p19 @t185)
% 0.37/0.77  (assume @p20 (= tptp.notinemptyset @t17))
% 0.37/0.77  (assume @p21 @t189)
% 0.37/0.77  (assume @p22 @t194)
% 0.37/0.77  (assume @p23 @t200)
% 0.37/0.77  (assume @p24 (= tptp.noeltsimpempty @t199))
% 0.37/0.77  (assume @p25 @t203)
% 0.37/0.77  (assume @p26 @t207)
% 0.37/0.77  (assume @p27 @t211)
% 0.37/0.77  (assume @p28 @t214)
% 0.37/0.77  (assume @p29 @t218)
% 0.37/0.77  (assume @p30 (= tptp.emptyinunitempty @t220))
% 0.37/0.77  (assume @p31 @t222)
% 0.37/0.77  (assume @p32 @t230)
% 0.37/0.77  (assume @p33 @t233)
% 0.37/0.77  (assume @p34 @t237)
% 0.37/0.77  (assume @p35 @t240)
% 0.37/0.77  (assume @p36 @t243)
% 0.37/0.77  (assume @p37 (= tptp.emptyInPowerset @t242))
% 0.37/0.77  (assume @p38 @t246)
% 0.37/0.77  (assume @p39 @t250)
% 0.37/0.77  (assume @p40 @t257)
% 0.37/0.77  (assume @p41 @t261)
% 0.37/0.77  (assume @p42 @t267)
% 0.37/0.77  (assume @p43 @t272)
% 0.37/0.77  (assume @p44 @t276)
% 0.37/0.77  (assume @p45 @t282)
% 0.37/0.77  (assume @p46 @t284)
% 0.37/0.77  (assume @p47 @t286)
% 0.37/0.77  (assume @p48 @t295)
% 0.37/0.77  (assume @p49 @t298)
% 0.37/0.77  (assume @p50 @t301)
% 0.37/0.77  (assume @p51 @t309)
% 0.37/0.77  (assume @p52 @t312)
% 0.37/0.77  (assume @p53 @t320)
% 0.37/0.77  (assume @p54 @t325)
% 0.37/0.77  (assume @p55 @t328)
% 0.37/0.77  (assume @p56 @t331)
% 0.37/0.77  (assume @p57 @t334)
% 0.37/0.77  (assume @p58 @t337)
% 0.37/0.77  (assume @p59 (= tptp.notdexE @t327))
% 0.37/0.77  (assume @p60 (= tptp.notdallE @t319))
% 0.37/0.77  (assume @p61 @t340)
% 0.37/0.77  (assume @p62 @t406)
% 0.37/0.77  (assume @p63 true)
% 0.37/0.77  (step @p64 (= tptp.exu @t407) :rule refl :args (@t407))
% 0.37/0.77  (step @p65 (= tptp.nonempty @t408) :rule refl :args (@t408))
% 0.37/0.77  (step @p66 :rule refl :args (@t422))
% 0.37/0.77  (step @p67 :rule skolem_intro :args ((@purify true)))
% 0.37/0.77  (step @p68 :rule symm :premises (@p67))
% 0.37/0.77  (step @p69 :rule cong :premises (@p68) :args (@t423))
% 0.37/0.77  (step @p70 :rule cong :premises (@p69) :args (@t424))
% 0.37/0.77  (step @p71 :rule cong :premises (@p70 @p66) :args (@t425))
% 0.37/0.77  (step @p72 :rule refl :args (tptp.emptyset))
% 0.37/0.77  (step @p73 :rule cong :premises (@p72 @p69) :args (@t426))
% 0.37/0.77  (step @p74 :rule cong :premises (@p73 @p71) :args (@t427))
% 0.37/0.77  (step @p75 :rule refl :args (@t430))
% 0.37/0.77  (step @p76 :rule cong :premises (@p75 @p74) :args (@t431))
% 0.37/0.77  (step @p77 :rule refl :args (@t439))
% 0.37/0.77  (step @p78 :rule cong :premises (@p77 @p76) :args (@t440))
% 0.37/0.77  (step @p79 :rule refl :args (@t444))
% 0.37/0.77  (step @p80 :rule cong :premises (@p79 @p78) :args (@t445))
% 0.37/0.77  (step @p81 :rule refl :args (@t447))
% 0.37/0.77  (step @p82 :rule cong :premises (@p81 @p80) :args (@t448))
% 0.37/0.77  (step @p83 :rule refl :args (@t452))
% 0.37/0.77  (step @p84 :rule cong :premises (@p83 @p82) :args (@t453))
% 0.37/0.77  (step @p85 :rule refl :args (@t458))
% 0.37/0.77  (step @p86 :rule cong :premises (@p85 @p84) :args (@t459))
% 0.37/0.77  (step @p87 :rule refl :args (@t461))
% 0.37/0.77  (step @p88 :rule cong :premises (@p87 @p86) :args (@t462))
% 0.37/0.77  (step @p89 :rule refl :args (@t463))
% 0.37/0.77  (step @p90 :rule cong :premises (@p89 @p88) :args (@t464))
% 0.37/0.77  (step @p91 :rule refl :args (@t465))
% 0.37/0.77  (step @p92 :rule cong :premises (@p91 @p90) :args (@t466))
% 0.37/0.77  (step @p93 :rule refl :args (@t471))
% 0.37/0.77  (step @p94 :rule cong :premises (@p93 @p92) :args (@t472))
% 0.37/0.77  (step @p95 :rule refl :args (@t478))
% 0.37/0.77  (step @p96 :rule cong :premises (@p95 @p94) :args (@t479))
% 0.37/0.77  (step @p97 :rule refl :args (@t483))
% 0.37/0.77  (step @p98 :rule cong :premises (@p97 @p96) :args (@t484))
% 0.37/0.77  (step @p99 :rule refl :args (@t492))
% 0.37/0.77  (step @p100 :rule cong :premises (@p99 @p98) :args (@t493))
% 0.37/0.77  (step @p101 :rule refl :args (@t494))
% 0.37/0.77  (step @p102 :rule cong :premises (@p101 @p100) :args (@t495))
% 0.37/0.77  (step @p103 :rule refl :args (@t498))
% 0.37/0.77  (step @p104 :rule cong :premises (@p103 @p102) :args (@t499))
% 0.37/0.77  (step @p105 :rule refl :args (@t501))
% 0.37/0.77  (step @p106 :rule cong :premises (@p105 @p104) :args (@t502))
% 0.37/0.77  (step @p107 :rule cong :premises (@p105 @p106) :args (@t503))
% 0.37/0.77  (step @p108 :rule refl :args (@t506))
% 0.37/0.77  (step @p109 :rule cong :premises (@p108 @p107) :args (@t507))
% 0.37/0.77  (step @p110 :rule refl :args (@t511))
% 0.37/0.77  (step @p111 :rule cong :premises (@p110 @p109) :args (@t512))
% 0.37/0.77  (step @p112 :rule refl :args (@t516))
% 0.37/0.77  (step @p113 :rule cong :premises (@p112 @p111) :args (@t517))
% 0.37/0.77  (step @p114 :rule cong :premises (@p112 @p113) :args (@t518))
% 0.37/0.77  (step @p115 :rule refl :args (@t520))
% 0.37/0.77  (step @p116 :rule cong :premises (@p115 @p114) :args (@t521))
% 0.37/0.77  (step @p117 :rule refl :args ((tptp.in tptp.emptyset @t219)))
% 0.37/0.77  (step @p118 :rule refl :args (@t522))
% 0.37/0.77  (step @p119 :rule refl :args (tptp.emptyset))
% 0.37/0.77  (step @p120 :rule cong :premises (@p119 @p118) :args (@t523))
% 0.37/0.77  (step @p121 :rule trans :premises (@p120 @p117))
% 0.37/0.77  (step @p122 :rule refl :args (@t49))
% 0.37/0.77  (step @p123 :rule ho_cong :premises (@p122 @p118))
% 0.37/0.77  (step @p124 :rule cong :premises (@p123 @p121) :args ((= (_ @t49 @t522) @t523)))
% 0.37/0.77  (step @p125 :rule symm :premises (@p124))
% 0.37/0.77  (step @p126 :rule refl :args (@t220))
% 0.37/0.77  (step @p127 :rule eq_resolve :premises (@p126 @p125))
% 0.37/0.77  (step @p128 :rule refl :args (@t219))
% 0.37/0.77  (step @p129 :rule cong :premises (@p128 @p118) :args ((= @t219 @t522)))
% 0.37/0.77  (step @p130 :rule symm :premises (@p129))
% 0.37/0.77  (step @p131 :rule eq_resolve :premises (@p128 @p130))
% 0.37/0.77  (step @p132 :rule refl :args (@t49))
% 0.37/0.77  (step @p133 :rule ho_cong :premises (@p132 @p131))
% 0.37/0.77  (step @p134 :rule trans :premises (@p133 @p127))
% 0.37/0.77  (step @p135 :rule cong :premises (@p134 @p116) :args (@t524))
% 0.37/0.77  (step @p136 :rule refl :args (@t527))
% 0.37/0.77  (step @p137 :rule cong :premises (@p136 @p135) :args (@t528))
% 0.37/0.77  (step @p138 :rule refl :args (@t532))
% 0.37/0.77  (step @p139 :rule cong :premises (@p138 @p137) :args (@t533))
% 0.37/0.77  (step @p140 :rule refl :args (@t534))
% 0.37/0.77  (step @p141 :rule cong :premises (@p140 @p139) :args (@t535))
% 0.37/0.77  (step @p142 :rule cong :premises (@p93 @p141) :args (@t536))
% 0.37/0.77  (step @p143 :rule refl :args (@t538))
% 0.37/0.77  (step @p144 :rule cong :premises (@p143 @p142) :args (@t539))
% 0.37/0.77  (step @p145 :rule refl :args (@t540))
% 0.37/0.77  (step @p146 :rule cong :premises (@p145 @p144) :args (@t541))
% 0.37/0.77  (step @p147 :rule cong :premises (@p145 @p146) :args (@t542))
% 0.37/0.77  (step @p148 :rule refl :args (@t546))
% 0.37/0.77  (step @p149 :rule cong :premises (@p148 @p147) :args (@t547))
% 0.37/0.77  (step @p150 :rule refl :args (@t553))
% 0.37/0.77  (step @p151 :rule cong :premises (@p150 @p149) :args (@t554))
% 0.37/0.77  (step @p152 :rule refl :args (@t555))
% 0.37/0.77  (step @p153 :rule cong :premises (@p152 @p151) :args (@t556))
% 0.37/0.77  (step @p154 :rule cong :premises (@p152 @p153) :args (@t557))
% 0.37/0.77  (step @p155 :rule cong :premises (@p152 @p154) :args (@t558))
% 0.37/0.77  (step @p156 :rule refl :args (@t560))
% 0.37/0.77  (step @p157 :rule cong :premises (@p156 @p155) :args (@t561))
% 0.37/0.77  (step @p158 :rule refl :args (@t563))
% 0.37/0.77  (step @p159 :rule cong :premises (@p158 @p157) :args (@t564))
% 0.37/0.77  (step @p160 :rule refl :args (@t565))
% 0.37/0.77  (step @p161 :rule cong :premises (@p160 @p159) :args (@t566))
% 0.37/0.77  (step @p162 :rule refl :args (@t567))
% 0.37/0.77  (step @p163 :rule cong :premises (@p162 @p161) :args (@t568))
% 0.37/0.77  (step @p164 :rule refl :args (@t573))
% 0.37/0.77  (step @p165 :rule cong :premises (@p164 @p163) :args (@t574))
% 0.37/0.77  (step @p166 :rule refl :args (@t625))
% 0.37/0.77  (step @p167 :rule cong :premises (@p166 @p165) :args (@t626))
% 0.37/0.77  (step @p168 :rule refl :args (@t633))
% 0.37/0.77  (step @p169 :rule cong :premises (@p168 @p167) :args (@t634))
% 0.37/0.77  (step @p170 :rule refl :args (@t647))
% 0.37/0.77  (step @p171 :rule cong :premises (@p170 @p169) :args (@t648))
% 0.37/0.77  (step @p172 :rule refl :args (@t662))
% 0.37/0.77  (step @p173 :rule cong :premises (@p172 @p171) :args (@t663))
% 0.37/0.77  (step @p174 :rule refl :args (@t665))
% 0.37/0.77  (step @p175 :rule cong :premises (@p174 @p173) :args (@t666))
% 0.37/0.77  (step @p176 :rule refl :args (@t667))
% 0.37/0.77  (step @p177 :rule refl :args (@t50))
% 0.37/0.77  (step @p178 :rule cong :premises (@p177 @p176) :args ((= @t50 @t667)))
% 0.37/0.77  (step @p179 :rule symm :premises (@p178))
% 0.37/0.77  (step @p180 :rule eq_resolve :premises (@p177 @p179))
% 0.37/0.77  (step @p181 :rule cong :premises (@p180 @p175) :args (@t668))
% 0.37/0.77  (step @p182 :rule refl :args (@t669))
% 0.37/0.77  (step @p183 :rule cong :premises (@p182 @p181) :args (@t670))
% 0.37/0.77  (step @p184 :rule refl :args (@t671))
% 0.37/0.77  (step @p185 :rule cong :premises (@p184 @p183) :args (@t672))
% 0.37/0.77  (step @p186 :rule refl :args (@t674))
% 0.37/0.77  (step @p187 :rule cong :premises (@p186 @p185) :args (@t675))
% 0.37/0.77  (step @p188 :rule cong :premises (@p152 @p187) :args (@t676))
% 0.37/0.77  (step @p189 :rule refl :args (@t678))
% 0.37/0.77  (step @p190 :rule cong :premises (@p189 @p188) :args (@t679))
% 0.37/0.77  (step @p191 :rule cong :premises (@p190) :args ((not @t679)))
% 0.37/0.77  (step @p192 :rule bool-impl-true2 :args (@t422))
% 0.37/0.77  (step @p193 :rule bool-impl-true2 :args (@t422))
% 0.37/0.77  (step @p194 :rule refl :args (true))
% 0.37/0.77  (step @p195 :rule cong :premises (@p194 @p193) :args (@t680))
% 0.37/0.77  (step @p196 :rule trans :premises (@p195 @p192))
% 0.37/0.77  (step @p197 :rule cong :premises (@p194 @p193) :args (@t680))
% 0.37/0.77  (step @p198 :rule cong :premises (@p194 @p197) :args (@t681))
% 0.37/0.77  (step @p199 :rule trans :premises (@p198 @p196))
% 0.37/0.77  (step @p200 :rule refl :args (@t424))
% 0.37/0.77  (step @p201 :rule cong :premises (@p200 @p199) :args (@t682))
% 0.37/0.77  (step @p202 :rule refl :args (@t426))
% 0.37/0.77  (step @p203 :rule cong :premises (@p202 @p201) :args (@t683))
% 0.37/0.77  (step @p204 :rule bool-impl-true2 :args (@t683))
% 0.37/0.77  (step @p205 :rule trans :premises (@p204 @p203))
% 0.37/0.77  (step @p206 :rule bool-impl-true2 :args (@t683))
% 0.37/0.77  (step @p207 :rule cong :premises (@p194 @p206) :args (@t684))
% 0.37/0.77  (step @p208 :rule trans :premises (@p207 @p205))
% 0.37/0.77  (step @p209 :rule cong :premises (@p194 @p206) :args (@t684))
% 0.37/0.77  (step @p210 :rule cong :premises (@p194 @p209) :args (@t685))
% 0.37/0.77  (step @p211 :rule trans :premises (@p210 @p208))
% 0.37/0.77  (step @p212 :rule cong :premises (@p194 @p209) :args (@t685))
% 0.37/0.77  (step @p213 :rule cong :premises (@p194 @p212) :args (@t686))
% 0.37/0.77  (step @p214 :rule trans :premises (@p213 @p211))
% 0.37/0.77  (step @p215 :rule cong :premises (@p75 @p214) :args (@t687))
% 0.37/0.77  (step @p216 :rule cong :premises (@p77 @p215) :args (@t688))
% 0.37/0.77  (step @p217 :rule cong :premises (@p79 @p216) :args (@t689))
% 0.37/0.77  (step @p218 :rule cong :premises (@p81 @p217) :args (@t690))
% 0.37/0.77  (step @p219 :rule cong :premises (@p83 @p218) :args (@t691))
% 0.37/0.77  (step @p220 :rule cong :premises (@p85 @p219) :args (@t692))
% 0.37/0.77  (step @p221 :rule cong :premises (@p87 @p220) :args (@t693))
% 0.37/0.77  (step @p222 :rule cong :premises (@p89 @p221) :args (@t694))
% 0.37/0.77  (step @p223 :rule cong :premises (@p91 @p222) :args (@t695))
% 0.37/0.77  (step @p224 :rule cong :premises (@p93 @p223) :args (@t696))
% 0.37/0.77  (step @p225 :rule cong :premises (@p95 @p224) :args (@t697))
% 0.37/0.77  (step @p226 :rule cong :premises (@p97 @p225) :args (@t698))
% 0.37/0.77  (step @p227 :rule cong :premises (@p99 @p226) :args (@t699))
% 0.37/0.77  (step @p228 :rule cong :premises (@p101 @p227) :args (@t700))
% 0.37/0.77  (step @p229 :rule cong :premises (@p103 @p228) :args (@t701))
% 0.37/0.77  (step @p230 :rule cong :premises (@p105 @p229) :args (@t702))
% 0.37/0.77  (step @p231 :rule cong :premises (@p105 @p230) :args (@t703))
% 0.37/0.77  (step @p232 :rule cong :premises (@p108 @p231) :args (@t704))
% 0.37/0.77  (step @p233 :rule cong :premises (@p110 @p232) :args (@t705))
% 0.37/0.77  (step @p234 :rule cong :premises (@p112 @p233) :args (@t706))
% 0.37/0.77  (step @p235 :rule cong :premises (@p112 @p234) :args (@t707))
% 0.37/0.77  (step @p236 :rule cong :premises (@p115 @p235) :args (@t708))
% 0.37/0.77  (step @p237 :rule refl :args (@t220))
% 0.37/0.77  (step @p238 :rule cong :premises (@p237 @p236) :args (@t709))
% 0.37/0.77  (step @p239 :rule cong :premises (@p136 @p238) :args (@t710))
% 0.37/0.77  (step @p240 :rule cong :premises (@p138 @p239) :args (@t711))
% 0.37/0.77  (step @p241 :rule cong :premises (@p140 @p240) :args (@t712))
% 0.37/0.77  (step @p242 :rule cong :premises (@p93 @p241) :args (@t713))
% 0.37/0.77  (step @p243 :rule cong :premises (@p143 @p242) :args (@t714))
% 0.37/0.77  (step @p244 :rule cong :premises (@p145 @p243) :args (@t715))
% 0.37/0.77  (step @p245 :rule cong :premises (@p145 @p244) :args (@t716))
% 0.37/0.77  (step @p246 :rule cong :premises (@p148 @p245) :args (@t717))
% 0.37/0.77  (step @p247 :rule cong :premises (@p150 @p246) :args (@t718))
% 0.37/0.77  (step @p248 :rule cong :premises (@p152 @p247) :args (@t719))
% 0.37/0.77  (step @p249 :rule cong :premises (@p152 @p248) :args (@t720))
% 0.37/0.77  (step @p250 :rule cong :premises (@p152 @p249) :args (@t721))
% 0.37/0.77  (step @p251 :rule cong :premises (@p156 @p250) :args (@t722))
% 0.37/0.77  (step @p252 :rule bool-impl-true2 :args (@t722))
% 0.37/0.77  (step @p253 :rule trans :premises (@p252 @p251))
% 0.37/0.77  (step @p254 :rule cong :premises (@p158 @p253) :args (@t723))
% 0.37/0.77  (step @p255 :rule cong :premises (@p160 @p254) :args (@t724))
% 0.37/0.77  (step @p256 :rule cong :premises (@p162 @p255) :args (@t725))
% 0.37/0.77  (step @p257 :rule cong :premises (@p164 @p256) :args (@t726))
% 0.37/0.77  (step @p258 :rule cong :premises (@p166 @p257) :args (@t727))
% 0.37/0.77  (step @p259 :rule cong :premises (@p168 @p258) :args (@t728))
% 0.37/0.77  (step @p260 :rule cong :premises (@p170 @p259) :args (@t729))
% 0.37/0.77  (step @p261 :rule cong :premises (@p172 @p260) :args (@t730))
% 0.37/0.77  (step @p262 :rule cong :premises (@p174 @p261) :args (@t731))
% 0.37/0.77  (step @p263 :rule refl :args (@t50))
% 0.37/0.77  (step @p264 :rule cong :premises (@p263 @p262) :args (@t732))
% 0.37/0.77  (step @p265 :rule cong :premises (@p182 @p264) :args (@t733))
% 0.37/0.77  (step @p266 :rule cong :premises (@p184 @p265) :args (@t734))
% 0.37/0.77  (step @p267 :rule cong :premises (@p186 @p266) :args (@t735))
% 0.37/0.77  (step @p268 :rule cong :premises (@p152 @p267) :args (@t736))
% 0.37/0.77  (step @p269 :rule cong :premises (@p189 @p268) :args (@t737))
% 0.37/0.77  (step @p270 :rule cong :premises (@p269) :args ((not @t737)))
% 0.37/0.77  (step @p271 :rule bool-eq-true :args (tptp.exuI1))
% 0.37/0.77  (step @p272 :rule symm :premises (@p271))
% 0.37/0.77  (step @p273 :rule quant-unused-vars :args ((= (forall @t150 true) true)))
% 0.37/0.77  (step @p274 :rule bool-or-taut :args (false @t415 false false))
% 0.37/0.77  (step @p275 :rule refl :args (@t416))
% 0.37/0.77  (step @p276 :rule bool-double-not-elim :args (@t415))
% 0.37/0.77  (step @p277 :rule nary_cong :premises (@p276 @p275) :args ((or @t738 @t416)))
% 0.37/0.77  (step @p278 :rule bool-impl-elim :args (@t416 @t416))
% 0.37/0.77  (step @p279 :rule trans :premises (@p278 @p277))
% 0.37/0.77  (step @p280 :rule trans :premises (@p279 @p274))
% 0.37/0.77  (step @p281 :rule cong :premises (@p280) :args ((forall @t150 (=> @t416 @t416))))
% 0.37/0.77  (step @p282 :rule trans :premises (@p281 @p273))
% 0.37/0.77  (step @p283 :rule refl :args (@t412))
% 0.37/0.77  (step @p284 :rule refl :args (@t413))
% 0.37/0.77  (step @p285 :rule refl :args (@t144))
% 0.37/0.77  (step @p286 :rule cong :premises (@p285 @p284) :args ((= @t144 @t413)))
% 0.37/0.77  (step @p287 :rule symm :premises (@p286))
% 0.37/0.77  (step @p288 :rule eq_resolve :premises (@p285 @p287))
% 0.37/0.77  (step @p289 :rule cong :premises (@p288) :args (@t313))
% 0.37/0.77  (step @p290 :rule nary_cong :premises (@p289 @p283) :args (@t739))
% 0.37/0.77  (step @p291 :rule cong :premises (@p290) :args ((forall @t9 @t739)))
% 0.37/0.77  (step @p292 :rule refl :args (@t129))
% 0.37/0.77  (step @p293 :rule refl :args (@t409))
% 0.37/0.77  (step @p294 :rule refl :args (@t153))
% 0.37/0.77  (step @p295 :rule cong :premises (@p294 @p293) :args ((= @t153 @t409)))
% 0.37/0.77  (step @p296 :rule symm :premises (@p295))
% 0.37/0.77  (step @p297 :rule eq_resolve :premises (@p294 @p296))
% 0.37/0.77  (step @p298 :rule cong :premises (@p297) :args (@t740))
% 0.37/0.77  (step @p299 :rule nary_cong :premises (@p298 @p292) :args (@t741))
% 0.37/0.77  (step @p300 :rule cong :premises (@p299) :args ((forall @t70 @t741)))
% 0.37/0.77  (step @p301 :rule refl :args (@t129))
% 0.37/0.77  (step @p302 :rule beta-reduce :args ((= @t742 @t153)))
% 0.37/0.77  (step @p303 :rule cong :premises (@p302) :args (@t743))
% 0.37/0.77  (step @p304 :rule nary_cong :premises (@p303 @p301) :args (@t744))
% 0.37/0.77  (step @p305 :rule cong :premises (@p304) :args (@t745))
% 0.37/0.77  (step @p306 :rule trans :premises (@p305 @p300))
% 0.37/0.77  (step @p307 :rule cong :premises (@p306) :args (@t746))
% 0.37/0.77  (step @p308 :rule beta-reduce :args ((= @t747 @t144)))
% 0.37/0.77  (step @p309 :rule cong :premises (@p308) :args (@t748))
% 0.37/0.77  (step @p310 :rule nary_cong :premises (@p309 @p307) :args (@t749))
% 0.37/0.77  (step @p311 :rule cong :premises (@p310) :args (@t750))
% 0.37/0.77  (step @p312 :rule trans :premises (@p311 @p291))
% 0.37/0.77  (step @p313 :rule cong :premises (@p312) :args (@t751))
% 0.37/0.77  (step @p314 :rule beta-reduce :args ((= @t753 @t751)))
% 0.37/0.77  (step @p315 :rule trans :premises (@p314 @p313))
% 0.37/0.77  (step @p316 :rule bool-and-de-morgan :args (@t144 @t411 true))
% 0.37/0.77  (step @p317 :rule cong :premises (@p316) :args (@t755))
% 0.37/0.77  (step @p318 :rule trans :premises (@p317 @p291))
% 0.37/0.77  (step @p319 :rule cong :premises (@p318) :args (@t756))
% 0.37/0.77  (step @p320 :rule exists-elim :args ((= (exists @t9 @t754) @t756)))
% 0.37/0.77  (step @p321 :rule trans :premises (@p320 @p319))
% 0.37/0.77  (step @p322 :rule bool-impl-elim :args (@t153 @t129))
% 0.37/0.77  (step @p323 :rule cong :premises (@p322) :args (@t167))
% 0.37/0.77  (step @p324 :rule trans :premises (@p323 @p300))
% 0.37/0.77  (step @p325 :rule refl :args (@t144))
% 0.37/0.77  (step @p326 :rule nary_cong :premises (@p325 @p324) :args (@t168))
% 0.37/0.77  (step @p327 :rule cong :premises (@p326) :args (@t169))
% 0.37/0.77  (step @p328 :rule trans :premises (@p327 @p321))
% 0.37/0.77  (step @p329 :rule cong :premises (@p328 @p315) :args (@t757))
% 0.37/0.77  (step @p330 :rule cong :premises (@p329) :args (@t758))
% 0.37/0.77  (step @p331 :rule trans :premises (@p330 @p282))
% 0.37/0.77  (step @p332 :rule refl :args (tptp.exuI1))
% 0.37/0.77  (step @p333 :rule cong :premises (@p332 @p331) :args ((= tptp.exuI1 @t758)))
% 0.37/0.77  (step @p334 :rule trans :premises (@p333 @p271))
% 0.37/0.77  (step @p335 :rule refl :args (@t145))
% 0.37/0.77  (step @p336 :rule cong :premises (@p328) :args (@t407))
% 0.37/0.77  (step @p337 :rule trans :premises (@p64 @p336))
% 0.37/0.77  (step @p338 :rule ho_cong :premises (@p337 @p335))
% 0.37/0.77  (step @p339 :rule refl :args (@t169))
% 0.37/0.77  (step @p340 :rule cong :premises (@p339 @p338) :args (@t338))
% 0.37/0.77  (step @p341 :rule cong :premises (@p340) :args (@t339))
% 0.37/0.77  (step @p342 :rule cong :premises (@p332 @p341) :args (@t340))
% 0.37/0.77  (step @p343 :rule trans :premises (@p342 @p334))
% 0.37/0.77  (step @p344 :rule eq_resolve :premises (@p61 @p343))
% 0.37/0.77  (step @p345 :rule eq_resolve :premises (@p344 @p272))
% 0.37/0.77  (step @p346 :rule cong :premises (@p345 @p66) :args (@t759))
% 0.37/0.77  (step @p347 :rule bool-eq-true :args (tptp.notdallE))
% 0.37/0.77  (step @p348 :rule symm :premises (@p347))
% 0.37/0.77  (step @p349 :rule bool-eq-true :args (tptp.notdallE))
% 0.37/0.77  (step @p350 :rule eq-symm :args (true tptp.notdallE))
% 0.37/0.77  (step @p351 :rule trans :premises (@p350 @p349))
% 0.37/0.77  (step @p352 :rule refl :args (tptp.notdallE))
% 0.37/0.77  (step @p353 :rule quant-unused-vars :args ((= (forall @t307 true) true)))
% 0.37/0.77  (step @p354 :rule bool-or-taut :args (false @t760 false false))
% 0.37/0.77  (step @p355 :rule refl :args (@t761))
% 0.37/0.77  (step @p356 :rule bool-double-not-elim :args (@t760))
% 0.37/0.77  (step @p357 :rule nary_cong :premises (@p356 @p355) :args ((or (not @t761) @t761)))
% 0.37/0.77  (step @p358 :rule bool-impl-elim :args (@t761 @t761))
% 0.37/0.77  (step @p359 :rule trans :premises (@p358 @p357))
% 0.37/0.77  (step @p360 :rule trans :premises (@p359 @p354))
% 0.37/0.77  (step @p361 :rule cong :premises (@p360) :args ((forall @t307 (=> @t761 @t761))))
% 0.37/0.77  (step @p362 :rule trans :premises (@p361 @p353))
% 0.37/0.77  (step @p363 :rule refl :args (@t467))
% 0.37/0.77  (step @p364 :rule refl :args (@t7))
% 0.37/0.77  (step @p365 :rule cong :premises (@p364 @p363) :args ((= @t7 @t467)))
% 0.37/0.77  (step @p366 :rule symm :premises (@p365))
% 0.37/0.77  (step @p367 :rule eq_resolve :premises (@p364 @p366))
% 0.37/0.77  (step @p368 :rule cong :premises (@p367) :args (@t196))
% 0.37/0.77  (step @p369 :rule nary_cong :premises (@p368 @p288) :args (@t762))
% 0.37/0.77  (step @p370 :rule cong :premises (@p369) :args ((forall @t9 @t762)))
% 0.37/0.77  (step @p371 :rule bool-double-not-elim :args (@t144))
% 0.37/0.77  (step @p372 :rule refl :args (@t196))
% 0.37/0.77  (step @p373 :rule nary_cong :premises (@p372 @p371) :args ((or @t196 (not @t313))))
% 0.37/0.77  (step @p374 :rule bool-and-de-morgan :args (@t7 @t313 true))
% 0.37/0.77  (step @p375 :rule trans :premises (@p374 @p373))
% 0.37/0.77  (step @p376 :rule cong :premises (@p375) :args (@t763))
% 0.37/0.77  (step @p377 :rule trans :premises (@p376 @p370))
% 0.37/0.77  (step @p378 :rule cong :premises (@p377) :args (@t764))
% 0.37/0.77  (step @p379 :rule exists-elim :args ((= @t315 @t764)))
% 0.37/0.77  (step @p380 :rule trans :premises (@p379 @p378))
% 0.37/0.77  (step @p381 :rule bool-impl-elim :args (@t7 @t144))
% 0.37/0.77  (step @p382 :rule cong :premises (@p381) :args (@t316))
% 0.37/0.77  (step @p383 :rule trans :premises (@p382 @p370))
% 0.37/0.77  (step @p384 :rule cong :premises (@p383) :args (@t317))
% 0.37/0.77  (step @p385 :rule cong :premises (@p384 @p380) :args (@t318))
% 0.37/0.77  (step @p386 :rule cong :premises (@p385) :args (@t319))
% 0.37/0.77  (step @p387 :rule trans :premises (@p386 @p362))
% 0.37/0.77  (step @p388 :rule cong :premises (@p387 @p352) :args ((= @t319 tptp.notdallE)))
% 0.37/0.77  (step @p389 :rule trans :premises (@p388 @p351))
% 0.37/0.77  (step @p390 :rule eq-symm :args (tptp.notdallE @t319))
% 0.37/0.77  (step @p391 :rule trans :premises (@p390 @p389))
% 0.37/0.77  (step @p392 :rule eq_resolve :premises (@p60 @p391))
% 0.37/0.77  (step @p393 :rule eq_resolve :premises (@p392 @p348))
% 0.37/0.77  (step @p394 :rule cong :premises (@p393 @p346) :args (@t765))
% 0.37/0.77  (step @p395 :rule bool-eq-true :args (tptp.notdexE))
% 0.37/0.77  (step @p396 :rule symm :premises (@p395))
% 0.37/0.77  (step @p397 :rule bool-eq-true :args (tptp.notdexE))
% 0.37/0.77  (step @p398 :rule eq-symm :args (true tptp.notdexE))
% 0.37/0.77  (step @p399 :rule trans :premises (@p398 @p397))
% 0.37/0.77  (step @p400 :rule refl :args (tptp.notdexE))
% 0.37/0.77  (step @p401 :rule bool-or-taut2 :args (false @t766 false false))
% 0.37/0.77  (step @p402 :rule bool-impl-elim :args (@t766 @t766))
% 0.37/0.77  (step @p403 :rule trans :premises (@p402 @p401))
% 0.37/0.77  (step @p404 :rule cong :premises (@p403) :args ((forall @t307 (=> @t766 @t766))))
% 0.37/0.77  (step @p405 :rule trans :premises (@p404 @p353))
% 0.37/0.77  (step @p406 :rule nary_cong :premises (@p368 @p289) :args (@t767))
% 0.37/0.77  (step @p407 :rule cong :premises (@p406) :args ((forall @t9 @t767)))
% 0.37/0.77  (step @p408 :rule bool-impl-elim :args (@t7 @t313))
% 0.37/0.77  (step @p409 :rule cong :premises (@p408) :args (@t322))
% 0.37/0.77  (step @p410 :rule trans :premises (@p409 @p407))
% 0.37/0.77  (step @p411 :rule bool-double-not-elim :args (@t766))
% 0.37/0.77  (step @p412 :rule bool-and-de-morgan :args (@t7 @t144 true))
% 0.37/0.77  (step @p413 :rule cong :premises (@p412) :args (@t768))
% 0.37/0.77  (step @p414 :rule trans :premises (@p413 @p407))
% 0.37/0.77  (step @p415 :rule cong :premises (@p414) :args (@t769))
% 0.37/0.77  (step @p416 :rule exists-elim :args ((= @t305 @t769)))
% 0.37/0.77  (step @p417 :rule trans :premises (@p416 @p415))
% 0.37/0.77  (step @p418 :rule cong :premises (@p417) :args (@t321))
% 0.37/0.77  (step @p419 :rule trans :premises (@p418 @p411))
% 0.37/0.77  (step @p420 :rule cong :premises (@p419 @p410) :args (@t326))
% 0.37/0.77  (step @p421 :rule cong :premises (@p420) :args (@t327))
% 0.37/0.77  (step @p422 :rule trans :premises (@p421 @p405))
% 0.37/0.77  (step @p423 :rule cong :premises (@p422 @p400) :args ((= @t327 tptp.notdexE)))
% 0.37/0.77  (step @p424 :rule trans :premises (@p423 @p399))
% 0.37/0.77  (step @p425 :rule eq-symm :args (tptp.notdexE @t327))
% 0.37/0.77  (step @p426 :rule trans :premises (@p425 @p424))
% 0.37/0.77  (step @p427 :rule eq_resolve :premises (@p59 @p426))
% 0.37/0.77  (step @p428 :rule eq_resolve :premises (@p427 @p396))
% 0.37/0.77  (step @p429 :rule cong :premises (@p428 @p394) :args (@t770))
% 0.37/0.77  (step @p430 :rule aci_norm :args ((= (or false @t424) @t424)))
% 0.37/0.77  (step @p431 :rule evaluate :args (@t771))
% 0.37/0.77  (step @p432 :rule nary_cong :premises (@p431 @p200) :args (@t772))
% 0.37/0.77  (step @p433 :rule trans :premises (@p432 @p430))
% 0.37/0.77  (step @p434 :rule quant-var-elim-eq :args ((= (forall @t179 (or @t776 @t775 @t774)) @t772)))
% 0.37/0.77  (step @p435 :rule refl :args (@t774))
% 0.37/0.77  (step @p436 :rule refl :args (@t775))
% 0.37/0.77  (step @p437 :rule bool-eq-true :args (@t173))
% 0.37/0.77  (step @p438 :rule symm :premises (@p437))
% 0.37/0.77  (step @p439 :rule cong :premises (@p438) :args (@t775))
% 0.37/0.77  (step @p440 :rule nary_cong :premises (@p439 @p436 @p435) :args (@t777))
% 0.37/0.77  (step @p441 :rule aci_norm :args ((= @t778 @t777)))
% 0.37/0.77  (step @p442 :rule trans :premises (@p441 @p440))
% 0.37/0.77  (step @p443 :rule cong :premises (@p442) :args ((forall @t179 @t778)))
% 0.37/0.77  (step @p444 :rule trans :premises (@p443 @p434))
% 0.37/0.77  (step @p445 :rule trans :premises (@p444 @p433))
% 0.37/0.77  (step @p446 :rule refl :args ((tptp.set2prop @t174)))
% 0.37/0.77  (step @p447 :rule refl :args (@t773))
% 0.37/0.77  (step @p448 :rule cong :premises (@p447) :args (@t774))
% 0.37/0.77  (step @p449 :rule trans :premises (@p448 @p446))
% 0.37/0.77  (step @p450 :rule refl :args (tptp.set2prop))
% 0.37/0.77  (step @p451 :rule ho_cong :premises (@p450 @p447))
% 0.37/0.77  (step @p452 :rule cong :premises (@p451 @p449) :args ((= (_ tptp.set2prop @t773) @t774)))
% 0.37/0.77  (step @p453 :rule symm :premises (@p452))
% 0.37/0.77  (step @p454 :rule refl :args (@t335))
% 0.37/0.77  (step @p455 :rule eq_resolve :premises (@p454 @p453))
% 0.37/0.77  (step @p456 :rule refl :args (@t174))
% 0.37/0.77  (step @p457 :rule cong :premises (@p456 @p447) :args ((= @t174 @t773)))
% 0.37/0.77  (step @p458 :rule symm :premises (@p457))
% 0.37/0.77  (step @p459 :rule eq_resolve :premises (@p456 @p458))
% 0.37/0.77  (step @p460 :rule ho_cong :premises (@p450 @p459))
% 0.37/0.77  (step @p461 :rule trans :premises (@p460 @p455))
% 0.37/0.77  (step @p462 :rule nary_cong :premises (@p436 @p461) :args (@t779))
% 0.37/0.77  (step @p463 :rule cong :premises (@p462) :args ((forall @t179 @t779)))
% 0.37/0.77  (step @p464 :rule trans :premises (@p463 @p445))
% 0.37/0.77  (step @p465 :rule bool-impl-elim :args (@t173 @t335))
% 0.37/0.77  (step @p466 :rule cong :premises (@p465) :args (@t336))
% 0.37/0.77  (step @p467 :rule trans :premises (@p466 @p464))
% 0.37/0.77  (step @p468 :rule refl :args (tptp.prop2set2propI))
% 0.37/0.77  (step @p469 :rule cong :premises (@p468 @p467) :args (@t337))
% 0.37/0.77  (step @p470 :rule eq_resolve :premises (@p58 @p469))
% 0.37/0.77  (step @p471 :rule cong :premises (@p470 @p429) :args (@t780))
% 0.37/0.77  (step @p472 :rule aci_norm :args ((= (or false @t426) @t426)))
% 0.37/0.77  (step @p473 :rule nary_cong :premises (@p431 @p202) :args (@t781))
% 0.37/0.77  (step @p474 :rule trans :premises (@p473 @p472))
% 0.37/0.77  (step @p475 :rule quant-var-elim-eq :args ((= (forall @t179 (or @t776 @t775 @t782)) @t781)))
% 0.37/0.77  (step @p476 :rule refl :args (@t782))
% 0.37/0.77  (step @p477 :rule nary_cong :premises (@p439 @p436 @p476) :args (@t783))
% 0.37/0.77  (step @p478 :rule aci_norm :args ((= @t784 @t783)))
% 0.37/0.77  (step @p479 :rule trans :premises (@p478 @p477))
% 0.37/0.77  (step @p480 :rule cong :premises (@p479) :args ((forall @t179 @t784)))
% 0.37/0.77  (step @p481 :rule trans :premises (@p480 @p475))
% 0.37/0.77  (step @p482 :rule trans :premises (@p481 @p474))
% 0.37/0.77  (step @p483 :rule refl :args ((tptp.in tptp.emptyset @t174)))
% 0.37/0.77  (step @p484 :rule cong :premises (@p119 @p447) :args (@t782))
% 0.37/0.77  (step @p485 :rule trans :premises (@p484 @p483))
% 0.37/0.77  (step @p486 :rule ho_cong :premises (@p122 @p447))
% 0.37/0.77  (step @p487 :rule cong :premises (@p486 @p485) :args ((= (_ @t49 @t773) @t782)))
% 0.37/0.77  (step @p488 :rule symm :premises (@p487))
% 0.37/0.77  (step @p489 :rule refl :args (@t332))
% 0.37/0.77  (step @p490 :rule eq_resolve :premises (@p489 @p488))
% 0.37/0.77  (step @p491 :rule ho_cong :premises (@p122 @p459))
% 0.37/0.77  (step @p492 :rule trans :premises (@p491 @p490))
% 0.37/0.77  (step @p493 :rule nary_cong :premises (@p436 @p492) :args (@t785))
% 0.37/0.77  (step @p494 :rule cong :premises (@p493) :args ((forall @t179 @t785)))
% 0.37/0.77  (step @p495 :rule trans :premises (@p494 @p482))
% 0.37/0.77  (step @p496 :rule bool-impl-elim :args (@t173 @t332))
% 0.37/0.77  (step @p497 :rule cong :premises (@p496) :args (@t333))
% 0.37/0.77  (step @p498 :rule trans :premises (@p497 @p495))
% 0.37/0.77  (step @p499 :rule refl :args (tptp.prop2setI))
% 0.37/0.77  (step @p500 :rule cong :premises (@p499 @p498) :args (@t334))
% 0.37/0.77  (step @p501 :rule eq_resolve :premises (@p57 @p500))
% 0.37/0.77  (step @p502 :rule cong :premises (@p501 @p471) :args (@t786))
% 0.37/0.77  (step @p503 :rule bool-eq-true :args (tptp.quantDeMorgan4))
% 0.37/0.77  (step @p504 :rule symm :premises (@p503))
% 0.37/0.77  (step @p505 :rule cong :premises (@p380 @p384) :args (@t329))
% 0.37/0.77  (step @p506 :rule cong :premises (@p505) :args (@t330))
% 0.37/0.77  (step @p507 :rule trans :premises (@p506 @p362))
% 0.37/0.77  (step @p508 :rule refl :args (tptp.quantDeMorgan4))
% 0.37/0.77  (step @p509 :rule cong :premises (@p508 @p507) :args (@t331))
% 0.37/0.77  (step @p510 :rule trans :premises (@p509 @p503))
% 0.37/0.77  (step @p511 :rule eq_resolve :premises (@p56 @p510))
% 0.37/0.77  (step @p512 :rule eq_resolve :premises (@p511 @p504))
% 0.37/0.77  (step @p513 :rule cong :premises (@p512 @p502) :args (@t787))
% 0.37/0.77  (step @p514 :rule bool-eq-true :args (tptp.quantDeMorgan3))
% 0.37/0.77  (step @p515 :rule symm :premises (@p514))
% 0.37/0.77  (step @p516 :rule refl :args (tptp.quantDeMorgan3))
% 0.37/0.77  (step @p517 :rule cong :premises (@p516 @p422) :args (@t328))
% 0.37/0.77  (step @p518 :rule trans :premises (@p517 @p514))
% 0.37/0.77  (step @p519 :rule eq_resolve :premises (@p55 @p518))
% 0.37/0.77  (step @p520 :rule eq_resolve :premises (@p519 @p515))
% 0.37/0.77  (step @p521 :rule cong :premises (@p520 @p513) :args (@t788))
% 0.37/0.77  (step @p522 :rule bool-eq-true :args (tptp.quantDeMorgan2))
% 0.37/0.77  (step @p523 :rule symm :premises (@p522))
% 0.37/0.77  (step @p524 :rule cong :premises (@p410 @p419) :args (@t323))
% 0.37/0.77  (step @p525 :rule cong :premises (@p524) :args (@t324))
% 0.37/0.77  (step @p526 :rule trans :premises (@p525 @p405))
% 0.37/0.77  (step @p527 :rule refl :args (tptp.quantDeMorgan2))
% 0.37/0.77  (step @p528 :rule cong :premises (@p527 @p526) :args (@t325))
% 0.37/0.77  (step @p529 :rule trans :premises (@p528 @p522))
% 0.37/0.77  (step @p530 :rule eq_resolve :premises (@p54 @p529))
% 0.37/0.77  (step @p531 :rule eq_resolve :premises (@p530 @p523))
% 0.37/0.77  (step @p532 :rule cong :premises (@p531 @p521) :args (@t789))
% 0.37/0.77  (step @p533 :rule bool-eq-true :args (tptp.quantDeMorgan1))
% 0.37/0.77  (step @p534 :rule symm :premises (@p533))
% 0.37/0.77  (step @p535 :rule refl :args (tptp.quantDeMorgan1))
% 0.37/0.77  (step @p536 :rule cong :premises (@p535 @p387) :args (@t320))
% 0.37/0.77  (step @p537 :rule trans :premises (@p536 @p533))
% 0.37/0.77  (step @p538 :rule eq_resolve :premises (@p53 @p537))
% 0.37/0.77  (step @p539 :rule eq_resolve :premises (@p538 @p534))
% 0.37/0.77  (step @p540 :rule cong :premises (@p539 @p532) :args (@t790))
% 0.37/0.77  (step @p541 :rule refl :args (@t428))
% 0.37/0.77  (step @p542 :rule refl :args (@t15))
% 0.37/0.77  (step @p543 :rule cong :premises (@p542 @p541) :args ((= @t15 @t428)))
% 0.37/0.77  (step @p544 :rule symm :premises (@p543))
% 0.37/0.77  (step @p545 :rule eq_resolve :premises (@p542 @p544))
% 0.37/0.77  (step @p546 :rule cong :premises (@p545) :args (@t16))
% 0.37/0.77  (step @p547 :rule nary_cong :premises (@p546 @p288) :args (@t791))
% 0.37/0.77  (step @p548 :rule cong :premises (@p547) :args ((forall @t310 @t791)))
% 0.37/0.77  (step @p549 :rule bool-impl-elim :args (@t15 @t144))
% 0.37/0.77  (step @p550 :rule cong :premises (@p549) :args (@t311))
% 0.37/0.77  (step @p551 :rule trans :premises (@p550 @p548))
% 0.37/0.77  (step @p552 :rule refl :args (tptp.vacuousDall))
% 0.37/0.77  (step @p553 :rule cong :premises (@p552 @p551) :args (@t312))
% 0.37/0.77  (step @p554 :rule eq_resolve :premises (@p52 @p553))
% 0.37/0.77  (step @p555 :rule cong :premises (@p554 @p540) :args (@t792))
% 0.37/0.77  (step @p556 :rule aci_norm :args ((= @t794 @t437)))
% 0.37/0.77  (step @p557 :rule cong :premises (@p556) :args (@t795))
% 0.37/0.77  (step @p558 :rule quant-merge-prenex :args ((= (forall @t307 @t797) @t795)))
% 0.37/0.77  (step @p559 :rule refl :args (@t436))
% 0.37/0.77  (step @p560 :rule alpha_equiv :args (@t798 (@list @t432) @t799))
% 0.37/0.77  (step @p561 :rule nary_cong :premises (@p560 @p559) :args (@t800))
% 0.37/0.77  (step @p562 :rule quant-miniscope-or :args ((= @t797 @t800)))
% 0.37/0.77  (step @p563 :rule trans :premises (@p562 @p561))
% 0.37/0.77  (step @p564 :rule symm :premises (@p563))
% 0.37/0.77  (step @p565 :rule cong :premises (@p564) :args ((forall @t307 (or @t766 @t436))))
% 0.37/0.77  (step @p566 :rule trans :premises (@p565 @p558))
% 0.37/0.77  (step @p567 :rule trans :premises (@p566 @p557))
% 0.37/0.77  (step @p568 :rule lambda-elim :args ((= @t801 @t143)))
% 0.37/0.77  (step @p569 :rule refl :args (@t2))
% 0.37/0.77  (step @p570 :rule cong :premises (@p569 @p568) :args (@t802))
% 0.37/0.77  (step @p571 :rule cong :premises (@p72 @p570) :args (@t803))
% 0.37/0.77  (step @p572 :rule cong :premises (@p571) :args (@t804))
% 0.37/0.77  (step @p573 :rule refl :args (@t766))
% 0.37/0.77  (step @p574 :rule nary_cong :premises (@p573 @p572) :args (@t805))
% 0.37/0.77  (step @p575 :rule cong :premises (@p574) :args ((forall @t307 @t805)))
% 0.37/0.77  (step @p576 :rule trans :premises (@p575 @p567))
% 0.37/0.77  (step @p577 :rule refl :args ((tptp.dsetconstr @t2 @t145)))
% 0.37/0.77  (step @p578 :rule cong :premises (@p284) :args (@t801))
% 0.37/0.77  (step @p579 :rule refl :args (@t2))
% 0.37/0.77  (step @p580 :rule cong :premises (@p579 @p578) :args (@t802))
% 0.37/0.77  (step @p581 :rule trans :premises (@p580 @p577))
% 0.37/0.77  (step @p582 :rule refl :args (@t155))
% 0.37/0.77  (step @p583 :rule ho_cong :premises (@p582 @p578))
% 0.37/0.77  (step @p584 :rule cong :premises (@p583 @p581) :args ((= (_ @t155 @t801) @t802)))
% 0.37/0.77  (step @p585 :rule symm :premises (@p584))
% 0.37/0.77  (step @p586 :rule refl :args (@t302))
% 0.37/0.77  (step @p587 :rule eq_resolve :premises (@p586 @p585))
% 0.37/0.77  (step @p588 :rule cong :premises (@p288) :args (@t145))
% 0.37/0.77  (step @p589 :rule ho_cong :premises (@p582 @p588))
% 0.37/0.77  (step @p590 :rule trans :premises (@p589 @p587))
% 0.37/0.77  (step @p591 :rule cong :premises (@p119 @p590) :args (@t806))
% 0.37/0.77  (step @p592 :rule cong :premises (@p591) :args (@t807))
% 0.37/0.77  (step @p593 :rule refl :args (@t766))
% 0.37/0.77  (step @p594 :rule nary_cong :premises (@p593 @p592) :args (@t808))
% 0.37/0.77  (step @p595 :rule cong :premises (@p594) :args ((forall @t307 @t808)))
% 0.37/0.77  (step @p596 :rule trans :premises (@p595 @p576))
% 0.37/0.77  (step @p597 :rule refl :args (@t807))
% 0.37/0.77  (step @p598 :rule bool-double-not-elim :args (@t766))
% 0.37/0.77  (step @p599 :rule nary_cong :premises (@p598 @p597) :args ((or (not @t809) @t807)))
% 0.37/0.77  (step @p600 :rule bool-impl-elim :args (@t809 @t807))
% 0.37/0.77  (step @p601 :rule trans :premises (@p600 @p599))
% 0.37/0.77  (step @p602 :rule cong :premises (@p601) :args ((forall @t307 (=> @t809 @t807))))
% 0.37/0.77  (step @p603 :rule trans :premises (@p602 @p596))
% 0.37/0.77  (step @p604 :rule eq-symm :args (@t302 tptp.emptyset))
% 0.37/0.77  (step @p605 :rule cong :premises (@p604) :args ((not @t303)))
% 0.37/0.77  (step @p606 :rule bool-impl-false1 :args (@t303))
% 0.37/0.77  (step @p607 :rule trans :premises (@p606 @p605))
% 0.37/0.77  (step @p608 :rule cong :premises (@p417 @p607) :args (@t306))
% 0.37/0.77  (step @p609 :rule cong :premises (@p608) :args (@t308))
% 0.37/0.77  (step @p610 :rule trans :premises (@p609 @p603))
% 0.37/0.77  (step @p611 :rule refl :args (tptp.emptyE1))
% 0.37/0.77  (step @p612 :rule cong :premises (@p611 @p610) :args (@t309))
% 0.37/0.77  (step @p613 :rule eq_resolve :premises (@p51 @p612))
% 0.37/0.77  (step @p614 :rule cong :premises (@p613 @p555) :args (@t810))
% 0.37/0.77  (step @p615 :rule refl :args ((tptp.in @t19 @t289)))
% 0.37/0.77  (step @p616 :rule refl :args ((tptp.setadjoin @t4 @t273)))
% 0.37/0.77  (step @p617 :rule refl :args (@t441))
% 0.37/0.77  (step @p618 :rule refl :args (@t4))
% 0.37/0.77  (step @p619 :rule cong :premises (@p618 @p617) :args (@t442))
% 0.37/0.77  (step @p620 :rule trans :premises (@p619 @p616))
% 0.37/0.77  (step @p621 :rule refl :args (@t19))
% 0.37/0.77  (step @p622 :rule cong :premises (@p621 @p620) :args (@t443))
% 0.37/0.77  (step @p623 :rule trans :premises (@p622 @p615))
% 0.37/0.77  (step @p624 :rule refl :args (@t20))
% 0.37/0.77  (step @p625 :rule ho_cong :premises (@p624 @p620))
% 0.37/0.77  (step @p626 :rule cong :premises (@p625 @p623) :args ((= (_ @t20 @t442) @t443)))
% 0.37/0.77  (step @p627 :rule symm :premises (@p626))
% 0.37/0.77  (step @p628 :rule refl :args (@t299))
% 0.37/0.77  (step @p629 :rule eq_resolve :premises (@p628 @p627))
% 0.37/0.77  (step @p630 :rule refl :args (@t24))
% 0.37/0.77  (step @p631 :rule ho_cong :premises (@p630 @p617))
% 0.37/0.77  (step @p632 :rule cong :premises (@p631 @p620) :args ((= (_ @t24 @t441) @t442)))
% 0.37/0.77  (step @p633 :rule symm :premises (@p632))
% 0.37/0.77  (step @p634 :rule refl :args (@t289))
% 0.37/0.77  (step @p635 :rule eq_resolve :premises (@p634 @p633))
% 0.37/0.77  (step @p636 :rule refl :args (@t273))
% 0.37/0.77  (step @p637 :rule cong :premises (@p636 @p617) :args ((= @t273 @t441)))
% 0.37/0.77  (step @p638 :rule symm :premises (@p637))
% 0.37/0.77  (step @p639 :rule eq_resolve :premises (@p636 @p638))
% 0.37/0.77  (step @p640 :rule ho_cong :premises (@p630 @p639))
% 0.37/0.77  (step @p641 :rule trans :premises (@p640 @p635))
% 0.37/0.77  (step @p642 :rule ho_cong :premises (@p624 @p641))
% 0.37/0.77  (step @p643 :rule trans :premises (@p642 @p629))
% 0.37/0.77  (step @p644 :rule cong :premises (@p643) :args (@t300))
% 0.37/0.77  (step @p645 :rule refl :args (tptp.upairsetIR))
% 0.37/0.77  (step @p646 :rule cong :premises (@p645 @p644) :args (@t301))
% 0.37/0.77  (step @p647 :rule eq_resolve :premises (@p50 @p646))
% 0.37/0.77  (step @p648 :rule cong :premises (@p647 @p614) :args (@t811))
% 0.37/0.77  (step @p649 :rule refl :args ((tptp.in @t4 @t289)))
% 0.37/0.77  (step @p650 :rule cong :premises (@p618 @p620) :args (@t446))
% 0.37/0.77  (step @p651 :rule trans :premises (@p650 @p649))
% 0.37/0.77  (step @p652 :rule refl :args (@t5))
% 0.37/0.77  (step @p653 :rule ho_cong :premises (@p652 @p620))
% 0.37/0.77  (step @p654 :rule cong :premises (@p653 @p651) :args ((= (_ @t5 @t442) @t446)))
% 0.37/0.77  (step @p655 :rule symm :premises (@p654))
% 0.37/0.77  (step @p656 :rule refl :args (@t296))
% 0.37/0.77  (step @p657 :rule eq_resolve :premises (@p656 @p655))
% 0.37/0.77  (step @p658 :rule ho_cong :premises (@p652 @p641))
% 0.37/0.77  (step @p659 :rule trans :premises (@p658 @p657))
% 0.37/0.77  (step @p660 :rule cong :premises (@p659) :args (@t297))
% 0.37/0.77  (step @p661 :rule refl :args (tptp.upairsetIL))
% 0.37/0.77  (step @p662 :rule cong :premises (@p661 @p660) :args (@t298))
% 0.37/0.77  (step @p663 :rule eq_resolve :premises (@p49 @p662))
% 0.37/0.77  (step @p664 :rule cong :premises (@p663 @p648) :args (@t812))
% 0.37/0.77  (step @p665 :rule refl :args (@t449))
% 0.37/0.77  (step @p666 :rule refl :args (@t450))
% 0.37/0.77  (step @p667 :rule refl :args ((tptp.in @t287 @t289)))
% 0.37/0.77  (step @p668 :rule refl :args (@t287))
% 0.37/0.77  (step @p669 :rule cong :premises (@p668 @p620) :args (@t451))
% 0.37/0.77  (step @p670 :rule trans :premises (@p669 @p667))
% 0.37/0.77  (step @p671 :rule refl :args (@t290))
% 0.37/0.77  (step @p672 :rule ho_cong :premises (@p671 @p620))
% 0.37/0.77  (step @p673 :rule cong :premises (@p672 @p670) :args ((= (_ @t290 @t442) @t451)))
% 0.37/0.77  (step @p674 :rule symm :premises (@p673))
% 0.37/0.77  (step @p675 :rule refl :args (@t291))
% 0.37/0.77  (step @p676 :rule eq_resolve :premises (@p675 @p674))
% 0.37/0.77  (step @p677 :rule ho_cong :premises (@p671 @p641))
% 0.37/0.77  (step @p678 :rule trans :premises (@p677 @p676))
% 0.37/0.77  (step @p679 :rule cong :premises (@p678) :args (@t813))
% 0.37/0.77  (step @p680 :rule nary_cong :premises (@p679 @p666 @p665) :args (@t814))
% 0.37/0.77  (step @p681 :rule cong :premises (@p680) :args ((forall @t293 @t814)))
% 0.37/0.77  (step @p682 :rule aci_norm :args ((= (or @t813 @t815) @t814)))
% 0.37/0.77  (step @p683 :rule bool-impl-elim :args (@t291 @t815))
% 0.37/0.77  (step @p684 :rule trans :premises (@p683 @p682))
% 0.37/0.77  (step @p685 :rule cong :premises (@p684) :args ((forall @t293 (=> @t291 @t815))))
% 0.37/0.77  (step @p686 :rule trans :premises (@p685 @p681))
% 0.37/0.77  (step @p687 :rule eq-symm :args (@t287 @t19))
% 0.37/0.77  (step @p688 :rule eq-symm :args (@t287 @t4))
% 0.37/0.77  (step @p689 :rule nary_cong :premises (@p688 @p687) :args (@t288))
% 0.37/0.77  (step @p690 :rule refl :args (@t291))
% 0.37/0.77  (step @p691 :rule cong :premises (@p690 @p689) :args (@t292))
% 0.37/0.77  (step @p692 :rule cong :premises (@p691) :args (@t294))
% 0.37/0.77  (step @p693 :rule trans :premises (@p692 @p686))
% 0.37/0.77  (step @p694 :rule refl :args (tptp.upairsetE))
% 0.37/0.77  (step @p695 :rule cong :premises (@p694 @p693) :args (@t295))
% 0.37/0.77  (step @p696 :rule eq_resolve :premises (@p48 @p695))
% 0.37/0.77  (step @p697 :rule cong :premises (@p696 @p664) :args (@t816))
% 0.37/0.77  (step @p698 :rule refl :args ((tptp.in @t19 @t277)))
% 0.37/0.77  (step @p699 :rule refl :args (@t454))
% 0.37/0.77  (step @p700 :rule cong :premises (@p621 @p699) :args (@t455))
% 0.37/0.77  (step @p701 :rule trans :premises (@p700 @p698))
% 0.37/0.77  (step @p702 :rule ho_cong :premises (@p624 @p699))
% 0.37/0.77  (step @p703 :rule cong :premises (@p702 @p701) :args ((= (_ @t20 @t454) @t455)))
% 0.37/0.77  (step @p704 :rule symm :premises (@p703))
% 0.37/0.77  (step @p705 :rule refl :args (@t278))
% 0.37/0.77  (step @p706 :rule eq_resolve :premises (@p705 @p704))
% 0.37/0.77  (step @p707 :rule refl :args (@t277))
% 0.37/0.77  (step @p708 :rule cong :premises (@p707 @p699) :args ((= @t277 @t454)))
% 0.37/0.77  (step @p709 :rule symm :premises (@p708))
% 0.37/0.77  (step @p710 :rule eq_resolve :premises (@p707 @p709))
% 0.37/0.77  (step @p711 :rule ho_cong :premises (@p624 @p710))
% 0.37/0.77  (step @p712 :rule trans :premises (@p711 @p706))
% 0.37/0.77  (step @p713 :rule refl :args ((tptp.in @t4 @t273)))
% 0.37/0.77  (step @p714 :rule cong :premises (@p618 @p617) :args (@t456))
% 0.37/0.77  (step @p715 :rule trans :premises (@p714 @p713))
% 0.37/0.77  (step @p716 :rule ho_cong :premises (@p652 @p617))
% 0.37/0.77  (step @p717 :rule cong :premises (@p716 @p715) :args ((= (_ @t5 @t441) @t456)))
% 0.37/0.77  (step @p718 :rule symm :premises (@p717))
% 0.37/0.77  (step @p719 :rule refl :args (@t274))
% 0.37/0.77  (step @p720 :rule eq_resolve :premises (@p719 @p718))
% 0.37/0.77  (step @p721 :rule ho_cong :premises (@p652 @p639))
% 0.37/0.77  (step @p722 :rule trans :premises (@p721 @p720))
% 0.37/0.77  (step @p723 :rule cong :premises (@p722) :args (@t817))
% 0.37/0.77  (step @p724 :rule nary_cong :premises (@p723 @p712) :args (@t818))
% 0.37/0.77  (step @p725 :rule cong :premises (@p724) :args ((forall @t135 @t818)))
% 0.37/0.77  (step @p726 :rule bool-impl-elim :args (@t274 @t278))
% 0.37/0.77  (step @p727 :rule cong :premises (@p726) :args (@t285))
% 0.37/0.77  (step @p728 :rule trans :premises (@p727 @p725))
% 0.37/0.77  (step @p729 :rule refl :args (tptp.singletonsswitch))
% 0.37/0.77  (step @p730 :rule cong :premises (@p729 @p728) :args (@t286))
% 0.37/0.77  (step @p731 :rule eq_resolve :premises (@p47 @p730))
% 0.37/0.77  (step @p732 :rule cong :premises (@p731 @p697) :args (@t819))
% 0.37/0.77  (step @p733 :rule aci_norm :args ((= (or false @t460) @t460)))
% 0.37/0.77  (step @p734 :rule refl :args (@t460))
% 0.37/0.77  (step @p735 :rule eq-refl :args (@t19))
% 0.37/0.77  (step @p736 :rule cong :premises (@p735) :args (@t820))
% 0.37/0.77  (step @p737 :rule trans :premises (@p736 @p431))
% 0.37/0.77  (step @p738 :rule nary_cong :premises (@p737 @p734) :args (@t821))
% 0.37/0.77  (step @p739 :rule trans :premises (@p738 @p733))
% 0.37/0.77  (step @p740 :rule cong :premises (@p739) :args ((forall @t70 @t821)))
% 0.37/0.77  (step @p741 :rule quant-var-elim-eq :args ((= (forall @t9 @t822) @t821)))
% 0.37/0.77  (step @p742 :rule aci_norm :args ((= @t823 @t822)))
% 0.37/0.77  (step @p743 :rule cong :premises (@p742) :args (@t824))
% 0.37/0.77  (step @p744 :rule trans :premises (@p743 @p741))
% 0.37/0.77  (step @p745 :rule cong :premises (@p744) :args (@t825))
% 0.37/0.77  (step @p746 :rule quant-merge-prenex :args ((= @t825 @t826)))
% 0.37/0.77  (step @p747 :rule symm :premises (@p746))
% 0.37/0.77  (step @p748 :rule quant_var_reordering :args ((= (forall @t135 @t823) @t826)))
% 0.37/0.77  (step @p749 :rule trans :premises (@p748 @p747 @p745))
% 0.37/0.77  (step @p750 :rule trans :premises (@p749 @p740))
% 0.37/0.77  (step @p751 :rule refl :args (@t280))
% 0.37/0.77  (step @p752 :rule nary_cong :premises (@p751 @p722) :args (@t827))
% 0.37/0.77  (step @p753 :rule cong :premises (@p752) :args ((forall @t135 @t827)))
% 0.37/0.77  (step @p754 :rule trans :premises (@p753 @p750))
% 0.37/0.77  (step @p755 :rule bool-impl-elim :args (@t129 @t274))
% 0.37/0.77  (step @p756 :rule cong :premises (@p755) :args (@t283))
% 0.37/0.77  (step @p757 :rule trans :premises (@p756 @p754))
% 0.37/0.77  (step @p758 :rule refl :args (tptp.eqinunit))
% 0.37/0.77  (step @p759 :rule cong :premises (@p758 @p757) :args (@t284))
% 0.37/0.77  (step @p760 :rule eq_resolve :premises (@p46 @p759))
% 0.37/0.77  (step @p761 :rule cong :premises (@p760 @p732) :args (@t828))
% 0.37/0.77  (step @p762 :rule cong :premises (@p712) :args (@t279))
% 0.37/0.77  (step @p763 :rule nary_cong :premises (@p292 @p762) :args (@t829))
% 0.37/0.77  (step @p764 :rule cong :premises (@p763) :args ((forall @t135 @t829)))
% 0.37/0.77  (step @p765 :rule refl :args (@t279))
% 0.37/0.77  (step @p766 :rule bool-double-not-elim :args (@t129))
% 0.37/0.77  (step @p767 :rule nary_cong :premises (@p766 @p765) :args ((or (not @t280) @t279)))
% 0.37/0.77  (step @p768 :rule bool-impl-elim :args (@t280 @t279))
% 0.37/0.77  (step @p769 :rule trans :premises (@p768 @p767))
% 0.37/0.77  (step @p770 :rule cong :premises (@p769) :args (@t281))
% 0.37/0.77  (step @p771 :rule trans :premises (@p770 @p764))
% 0.37/0.77  (step @p772 :rule refl :args (tptp.notinsingleton))
% 0.37/0.77  (step @p773 :rule cong :premises (@p772 @p771) :args (@t282))
% 0.37/0.77  (step @p774 :rule eq_resolve :premises (@p45 @p773))
% 0.37/0.77  (step @p775 :rule cong :premises (@p774 @p761) :args (@t830))
% 0.37/0.77  (step @p776 :rule nary_cong :premises (@p723 @p292) :args (@t831))
% 0.37/0.77  (step @p777 :rule cong :premises (@p776) :args ((forall @t135 @t831)))
% 0.37/0.77  (step @p778 :rule bool-impl-elim :args (@t274 @t129))
% 0.37/0.77  (step @p779 :rule cong :premises (@p778) :args (@t275))
% 0.37/0.77  (step @p780 :rule trans :premises (@p779 @p777))
% 0.37/0.77  (step @p781 :rule refl :args (tptp.uniqinunit))
% 0.37/0.77  (step @p782 :rule cong :premises (@p781 @p780) :args (@t276))
% 0.37/0.77  (step @p783 :rule eq_resolve :premises (@p44 @p782))
% 0.37/0.77  (step @p784 :rule cong :premises (@p783 @p775) :args (@t832))
% 0.37/0.77  (step @p785 :rule refl :args (@t470))
% 0.37/0.77  (step @p786 :rule bool-double-not-elim :args (@t195))
% 0.37/0.77  (step @p787 :rule nary_cong :premises (@p786 @p785) :args ((or (not @t833) @t470)))
% 0.37/0.77  (step @p788 :rule bool-impl-elim :args (@t833 @t470))
% 0.37/0.77  (step @p789 :rule trans :premises (@p788 @p787))
% 0.37/0.77  (step @p790 :rule cong :premises (@p789) :args ((forall @t64 (=> @t833 @t470))))
% 0.37/0.77  (step @p791 :rule cong :premises (@p368) :args (@t197))
% 0.37/0.77  (step @p792 :rule cong :premises (@p791) :args (@t834))
% 0.37/0.77  (step @p793 :rule exists-elim :args ((= @t89 @t834)))
% 0.37/0.77  (step @p794 :rule trans :premises (@p793 @p792))
% 0.37/0.77  (step @p795 :rule aci_norm :args ((= @t268 @t7)))
% 0.37/0.77  (step @p796 :rule cong :premises (@p795) :args (@t269))
% 0.37/0.77  (step @p797 :rule trans :premises (@p796 @p794))
% 0.37/0.77  (step @p798 :rule beta-reduce :args ((= @t835 @t833)))
% 0.37/0.77  (step @p799 :rule cong :premises (@p798 @p797) :args (@t836))
% 0.37/0.77  (step @p800 :rule cong :premises (@p799) :args (@t837))
% 0.37/0.77  (step @p801 :rule trans :premises (@p800 @p790))
% 0.37/0.77  (step @p802 :rule refl :args (tptp.nonemptyImpWitness))
% 0.37/0.77  (step @p803 :rule cong :premises (@p802 @p801) :args ((= tptp.nonemptyImpWitness @t837)))
% 0.37/0.77  (step @p804 :rule refl :args (@t269))
% 0.37/0.77  (step @p805 :rule ho_cong :premises (@p65 @p569))
% 0.37/0.77  (step @p806 :rule cong :premises (@p805 @p804) :args (@t270))
% 0.37/0.77  (step @p807 :rule cong :premises (@p806) :args (@t271))
% 0.37/0.77  (step @p808 :rule cong :premises (@p802 @p807) :args (@t272))
% 0.37/0.77  (step @p809 :rule trans :premises (@p808 @p803))
% 0.37/0.77  (step @p810 :rule eq_resolve :premises (@p43 @p809))
% 0.37/0.77  (step @p811 :rule cong :premises (@p810 @p784) :args (@t838))
% 0.37/0.77  (step @p812 :rule eq-symm :args (@t473 @t19))
% 0.37/0.77  (step @p813 :rule refl :args (@t410))
% 0.37/0.77  (step @p814 :rule nary_cong :premises (@p813 @p812) :args (@t839))
% 0.37/0.77  (step @p815 :rule cong :premises (@p814) :args (@t840))
% 0.37/0.77  (step @p816 :rule cong :premises (@p815) :args (@t841))
% 0.37/0.77  (step @p817 :rule refl :args (@t474))
% 0.37/0.77  (step @p818 :rule refl :args (@t476))
% 0.37/0.77  (step @p819 :rule nary_cong :premises (@p818 @p817 @p816) :args (@t842))
% 0.37/0.77  (step @p820 :rule aci_norm :args ((= @t844 @t842)))
% 0.37/0.77  (step @p821 :rule trans :premises (@p820 @p819))
% 0.37/0.77  (step @p822 :rule cong :premises (@p821) :args (@t845))
% 0.37/0.77  (step @p823 :rule quant-merge-prenex :args ((= (forall @t150 @t847) @t845)))
% 0.37/0.77  (step @p824 :rule refl :args (@t476))
% 0.37/0.77  (step @p825 :rule alpha_equiv :args (@t848 (@list @t473) @t799))
% 0.37/0.77  (step @p826 :rule nary_cong :premises (@p825 @p824) :args (@t849))
% 0.37/0.77  (step @p827 :rule quant-miniscope-or :args ((= @t847 @t849)))
% 0.37/0.77  (step @p828 :rule trans :premises (@p827 @p826))
% 0.37/0.77  (step @p829 :rule symm :premises (@p828))
% 0.37/0.77  (step @p830 :rule cong :premises (@p829) :args ((forall @t150 (or @t415 @t476))))
% 0.37/0.77  (step @p831 :rule trans :premises (@p830 @p823))
% 0.37/0.77  (step @p832 :rule trans :premises (@p831 @p822))
% 0.37/0.77  (step @p833 :rule nary_cong :premises (@p276 @p824) :args ((or @t738 @t476)))
% 0.37/0.77  (step @p834 :rule bool-impl-elim :args (@t416 @t476))
% 0.37/0.77  (step @p835 :rule trans :premises (@p834 @p833))
% 0.37/0.77  (step @p836 :rule cong :premises (@p835) :args ((forall @t150 (=> @t416 @t476))))
% 0.37/0.77  (step @p837 :rule trans :premises (@p836 @p832))
% 0.37/0.77  (step @p838 :rule exists-elim :args ((= (exists @t9 @t475) @t476)))
% 0.37/0.77  (step @p839 :rule eq-symm :args (@t409 @t129))
% 0.37/0.77  (step @p840 :rule cong :premises (@p839) :args ((forall @t70 (= @t409 @t129))))
% 0.37/0.77  (step @p841 :rule cong :premises (@p297 @p292) :args (@t850))
% 0.37/0.77  (step @p842 :rule cong :premises (@p841) :args ((forall @t70 @t850)))
% 0.37/0.77  (step @p843 :rule trans :premises (@p842 @p840))
% 0.37/0.77  (step @p844 :rule eq-symm :args (@t19 @t4))
% 0.37/0.77  (step @p845 :rule refl :args (@t153))
% 0.37/0.77  (step @p846 :rule cong :premises (@p845 @p844) :args (@t262))
% 0.37/0.77  (step @p847 :rule cong :premises (@p846) :args (@t263))
% 0.37/0.77  (step @p848 :rule trans :premises (@p847 @p843))
% 0.37/0.77  (step @p849 :rule cong :premises (@p848) :args (@t264))
% 0.37/0.77  (step @p850 :rule trans :premises (@p849 @p838))
% 0.37/0.77  (step @p851 :rule cong :premises (@p315 @p850) :args (@t851))
% 0.37/0.77  (step @p852 :rule cong :premises (@p851) :args (@t852))
% 0.37/0.77  (step @p853 :rule trans :premises (@p852 @p837))
% 0.37/0.77  (step @p854 :rule refl :args (tptp.exuE2))
% 0.37/0.77  (step @p855 :rule cong :premises (@p854 @p853) :args ((= tptp.exuE2 @t852)))
% 0.37/0.77  (step @p856 :rule refl :args (@t264))
% 0.37/0.77  (step @p857 :rule cong :premises (@p338 @p856) :args (@t265))
% 0.37/0.77  (step @p858 :rule cong :premises (@p857) :args (@t266))
% 0.37/0.77  (step @p859 :rule cong :premises (@p854 @p858) :args (@t267))
% 0.37/0.77  (step @p860 :rule trans :premises (@p859 @p855))
% 0.37/0.77  (step @p861 :rule eq_resolve :premises (@p42 @p860))
% 0.37/0.77  (step @p862 :rule cong :premises (@p861 @p811) :args (@t853))
% 0.37/0.77  (step @p863 :rule refl :args ((tptp.in @t4 @t258)))
% 0.37/0.77  (step @p864 :rule refl :args ((tptp.powerset @t43)))
% 0.37/0.77  (step @p865 :rule refl :args (@t480))
% 0.37/0.77  (step @p866 :rule cong :premises (@p865) :args (@t481))
% 0.37/0.77  (step @p867 :rule trans :premises (@p866 @p864))
% 0.37/0.77  (step @p868 :rule cong :premises (@p618 @p867) :args (@t482))
% 0.37/0.77  (step @p869 :rule trans :premises (@p868 @p863))
% 0.37/0.77  (step @p870 :rule ho_cong :premises (@p652 @p867))
% 0.37/0.77  (step @p871 :rule cong :premises (@p870 @p869) :args ((= (_ @t5 @t481) @t482)))
% 0.37/0.77  (step @p872 :rule symm :premises (@p871))
% 0.37/0.77  (step @p873 :rule refl :args (@t259))
% 0.37/0.77  (step @p874 :rule eq_resolve :premises (@p873 @p872))
% 0.37/0.77  (step @p875 :rule refl :args (tptp.powerset))
% 0.37/0.77  (step @p876 :rule ho_cong :premises (@p875 @p865))
% 0.37/0.77  (step @p877 :rule cong :premises (@p876 @p867) :args ((= (_ tptp.powerset @t480) @t481)))
% 0.37/0.77  (step @p878 :rule symm :premises (@p877))
% 0.37/0.77  (step @p879 :rule refl :args (@t258))
% 0.37/0.77  (step @p880 :rule eq_resolve :premises (@p879 @p878))
% 0.37/0.77  (step @p881 :rule refl :args (@t43))
% 0.37/0.77  (step @p882 :rule cong :premises (@p881 @p865) :args ((= @t43 @t480)))
% 0.37/0.77  (step @p883 :rule symm :premises (@p882))
% 0.37/0.77  (step @p884 :rule eq_resolve :premises (@p881 @p883))
% 0.37/0.77  (step @p885 :rule ho_cong :premises (@p875 @p884))
% 0.37/0.77  (step @p886 :rule trans :premises (@p885 @p880))
% 0.37/0.77  (step @p887 :rule ho_cong :premises (@p652 @p886))
% 0.37/0.77  (step @p888 :rule trans :premises (@p887 @p874))
% 0.37/0.77  (step @p889 :rule nary_cong :premises (@p368 @p888) :args (@t854))
% 0.37/0.77  (step @p890 :rule cong :premises (@p889) :args ((forall @t46 @t854)))
% 0.37/0.77  (step @p891 :rule bool-impl-elim :args (@t7 @t259))
% 0.37/0.77  (step @p892 :rule cong :premises (@p891) :args (@t260))
% 0.37/0.77  (step @p893 :rule trans :premises (@p892 @p890))
% 0.37/0.77  (step @p894 :rule refl :args (tptp.subPowSU))
% 0.37/0.77  (step @p895 :rule cong :premises (@p894 @p893) :args (@t261))
% 0.37/0.77  (step @p896 :rule eq_resolve :premises (@p41 @p895))
% 0.37/0.77  (step @p897 :rule cong :premises (@p896 @p862) :args (@t855))
% 0.37/0.77  (step @p898 :rule refl :args (@t490))
% 0.37/0.77  (step @p899 :rule refl :args ((tptp.in @t4 @t43)))
% 0.37/0.77  (step @p900 :rule cong :premises (@p618 @p865) :args (@t491))
% 0.37/0.77  (step @p901 :rule trans :premises (@p900 @p899))
% 0.37/0.77  (step @p902 :rule ho_cong :premises (@p652 @p865))
% 0.37/0.77  (step @p903 :rule cong :premises (@p902 @p901) :args ((= (_ @t5 @t480) @t491)))
% 0.37/0.77  (step @p904 :rule symm :premises (@p903))
% 0.37/0.77  (step @p905 :rule refl :args (@t44))
% 0.37/0.77  (step @p906 :rule eq_resolve :premises (@p905 @p904))
% 0.37/0.77  (step @p907 :rule ho_cong :premises (@p652 @p884))
% 0.37/0.77  (step @p908 :rule trans :premises (@p907 @p906))
% 0.37/0.77  (step @p909 :rule cong :premises (@p908) :args (@t856))
% 0.37/0.77  (step @p910 :rule nary_cong :premises (@p909 @p898) :args (@t857))
% 0.37/0.77  (step @p911 :rule cong :premises (@p910) :args ((forall @t46 @t857)))
% 0.37/0.77  (step @p912 :rule bool-impl-elim :args (@t44 @t490))
% 0.37/0.77  (step @p913 :rule cong :premises (@p912) :args ((forall @t46 (=> @t44 @t490))))
% 0.37/0.77  (step @p914 :rule trans :premises (@p913 @p911))
% 0.37/0.77  (step @p915 :rule aci_norm :args ((= (and true @t490) @t490)))
% 0.37/0.77  (step @p916 :rule refl :args (@t490))
% 0.37/0.77  (step @p917 :rule evaluate :args (@t858))
% 0.37/0.77  (step @p918 :rule nary_cong :premises (@p917 @p916) :args (@t859))
% 0.37/0.77  (step @p919 :rule trans :premises (@p918 @p915))
% 0.37/0.77  (step @p920 :rule aci_norm :args ((= @t860 @t859)))
% 0.37/0.77  (step @p921 :rule trans :premises (@p920 @p919))
% 0.37/0.77  (step @p922 :rule quant-var-elim-eq :args ((= (forall @t179 (or @t862 @t861 @t173)) @t860)))
% 0.37/0.77  (step @p923 :rule refl :args (@t173))
% 0.37/0.77  (step @p924 :rule refl :args (@t861))
% 0.37/0.77  (step @p925 :rule bool-eq-false :args (@t173))
% 0.37/0.77  (step @p926 :rule symm :premises (@p925))
% 0.37/0.77  (step @p927 :rule cong :premises (@p926) :args ((not @t775)))
% 0.37/0.77  (step @p928 :rule bool-double-not-elim :args (@t173))
% 0.37/0.77  (step @p929 :rule symm :premises (@p928))
% 0.37/0.77  (step @p930 :rule trans :premises (@p929 @p927))
% 0.37/0.77  (step @p931 :rule nary_cong :premises (@p930 @p924 @p923) :args (@t863))
% 0.37/0.78  (step @p932 :rule aci_norm :args ((= @t864 @t863)))
% 0.37/0.78  (step @p933 :rule trans :premises (@p932 @p931))
% 0.37/0.78  (step @p934 :rule cong :premises (@p933) :args ((forall @t179 @t864)))
% 0.37/0.78  (step @p935 :rule trans :premises (@p934 @p922))
% 0.37/0.78  (step @p936 :rule trans :premises (@p935 @p921))
% 0.37/0.78  (step @p937 :rule bool-or-de-morgan :args (@t173 @t489 false))
% 0.37/0.78  (step @p938 :rule nary_cong :premises (@p937 @p923) :args ((or (not @t865) @t173)))
% 0.37/0.78  (step @p939 :rule bool-impl-elim :args (@t865 @t173))
% 0.37/0.78  (step @p940 :rule trans :premises (@p939 @p938))
% 0.37/0.78  (step @p941 :rule cong :premises (@p940) :args ((forall @t179 (=> @t865 @t173))))
% 0.37/0.78  (step @p942 :rule trans :premises (@p941 @p936))
% 0.37/0.78  (step @p943 :rule refl :args (@t173))
% 0.37/0.78  (step @p944 :rule refl :args (@t485))
% 0.37/0.78  (step @p945 :rule refl :args (@t39))
% 0.37/0.78  (step @p946 :rule cong :premises (@p945 @p944) :args ((= @t39 @t485)))
% 0.37/0.78  (step @p947 :rule symm :premises (@p946))
% 0.37/0.78  (step @p948 :rule eq_resolve :premises (@p945 @p947))
% 0.37/0.78  (step @p949 :rule cong :premises (@p948) :args (@t866))
% 0.37/0.78  (step @p950 :rule refl :args (@t487))
% 0.37/0.78  (step @p951 :rule refl :args (@t6))
% 0.37/0.78  (step @p952 :rule cong :premises (@p951 @p950) :args ((= @t6 @t487)))
% 0.37/0.78  (step @p953 :rule symm :premises (@p952))
% 0.37/0.78  (step @p954 :rule eq_resolve :premises (@p951 @p953))
% 0.37/0.78  (step @p955 :rule cong :premises (@p954) :args (@t867))
% 0.37/0.78  (step @p956 :rule nary_cong :premises (@p955 @p949) :args (@t868))
% 0.37/0.78  (step @p957 :rule cong :premises (@p956) :args (@t869))
% 0.37/0.78  (step @p958 :rule nary_cong :premises (@p943 @p957) :args (@t870))
% 0.37/0.78  (step @p959 :rule quant-miniscope-or :args ((= (forall @t41 @t871) @t870)))
% 0.37/0.78  (step @p960 :rule aci_norm :args ((= @t872 @t871)))
% 0.37/0.78  (step @p961 :rule cong :premises (@p960) :args ((forall @t41 @t872)))
% 0.37/0.78  (step @p962 :rule trans :premises (@p961 @p959))
% 0.37/0.78  (step @p963 :rule trans :premises (@p962 @p958))
% 0.37/0.78  (step @p964 :rule aci_norm :args ((= (or @t867 (or @t866 @t173)) @t872)))
% 0.37/0.78  (step @p965 :rule bool-impl-elim :args (@t39 @t173))
% 0.37/0.78  (step @p966 :rule refl :args (@t867))
% 0.37/0.78  (step @p967 :rule nary_cong :premises (@p966 @p965) :args ((or @t867 @t251)))
% 0.37/0.78  (step @p968 :rule trans :premises (@p967 @p964))
% 0.37/0.78  (step @p969 :rule bool-impl-elim :args (@t6 @t251))
% 0.37/0.78  (step @p970 :rule trans :premises (@p969 @p968))
% 0.37/0.78  (step @p971 :rule cong :premises (@p970) :args (@t252))
% 0.37/0.78  (step @p972 :rule trans :premises (@p971 @p963))
% 0.37/0.78  (step @p973 :rule cong :premises (@p972 @p943) :args (@t253))
% 0.37/0.78  (step @p974 :rule cong :premises (@p973) :args (@t254))
% 0.37/0.78  (step @p975 :rule trans :premises (@p974 @p942))
% 0.37/0.78  (step @p976 :rule refl :args (@t44))
% 0.37/0.78  (step @p977 :rule cong :premises (@p976 @p975) :args (@t255))
% 0.37/0.78  (step @p978 :rule cong :premises (@p977) :args (@t256))
% 0.37/0.78  (step @p979 :rule trans :premises (@p978 @p914))
% 0.37/0.78  (step @p980 :rule refl :args (tptp.setunionE))
% 0.37/0.78  (step @p981 :rule cong :premises (@p980 @p979) :args (@t257))
% 0.37/0.78  (step @p982 :rule eq_resolve :premises (@p40 @p981))
% 0.37/0.78  (step @p983 :rule cong :premises (@p982 @p897) :args (@t873))
% 0.37/0.78  (step @p984 :rule nary_cong :premises (@p955 @p949 @p908) :args (@t874))
% 0.37/0.78  (step @p985 :rule cong :premises (@p984) :args ((forall @t248 @t874)))
% 0.37/0.78  (step @p986 :rule aci_norm :args ((= (or @t867 (or @t866 @t44)) @t874)))
% 0.37/0.78  (step @p987 :rule bool-impl-elim :args (@t39 @t44))
% 0.37/0.78  (step @p988 :rule nary_cong :premises (@p966 @p987) :args ((or @t867 @t247)))
% 0.37/0.78  (step @p989 :rule trans :premises (@p988 @p986))
% 0.37/0.78  (step @p990 :rule bool-impl-elim :args (@t6 @t247))
% 0.37/0.78  (step @p991 :rule trans :premises (@p990 @p989))
% 0.37/0.78  (step @p992 :rule cong :premises (@p991) :args (@t249))
% 0.37/0.78  (step @p993 :rule trans :premises (@p992 @p985))
% 0.37/0.78  (step @p994 :rule refl :args (tptp.setunionI))
% 0.37/0.78  (step @p995 :rule cong :premises (@p994 @p993) :args (@t250))
% 0.37/0.78  (step @p996 :rule eq_resolve :premises (@p39 @p995))
% 0.37/0.78  (step @p997 :rule cong :premises (@p996 @p983) :args (@t875))
% 0.37/0.78  (step @p998 :rule refl :args ((tptp.in @t1 @t33)))
% 0.37/0.78  (step @p999 :rule refl :args (@t496))
% 0.37/0.78  (step @p1000 :rule refl :args (@t1))
% 0.37/0.78  (step @p1001 :rule cong :premises (@p1000 @p999) :args (@t497))
% 0.37/0.78  (step @p1002 :rule trans :premises (@p1001 @p998))
% 0.37/0.78  (step @p1003 :rule refl :args (@t34))
% 0.37/0.78  (step @p1004 :rule ho_cong :premises (@p1003 @p999))
% 0.37/0.78  (step @p1005 :rule cong :premises (@p1004 @p1002) :args ((= (_ @t34 @t496) @t497)))
% 0.37/0.78  (step @p1006 :rule symm :premises (@p1005))
% 0.37/0.78  (step @p1007 :rule refl :args (@t35))
% 0.37/0.78  (step @p1008 :rule eq_resolve :premises (@p1007 @p1006))
% 0.37/0.78  (step @p1009 :rule refl :args (@t33))
% 0.37/0.78  (step @p1010 :rule cong :premises (@p1009 @p999) :args ((= @t33 @t496)))
% 0.37/0.78  (step @p1011 :rule symm :premises (@p1010))
% 0.37/0.78  (step @p1012 :rule eq_resolve :premises (@p1009 @p1011))
% 0.37/0.78  (step @p1013 :rule ho_cong :premises (@p1003 @p1012))
% 0.37/0.78  (step @p1014 :rule trans :premises (@p1013 @p1008))
% 0.37/0.78  (step @p1015 :rule cong :premises (@p1014) :args (@t876))
% 0.37/0.78  (step @p1016 :rule nary_cong :premises (@p1015 @p955 @p367) :args (@t877))
% 0.37/0.78  (step @p1017 :rule cong :premises (@p1016) :args ((forall @t244 @t877)))
% 0.37/0.78  (step @p1018 :rule aci_norm :args ((= (or @t876 @t878) @t877)))
% 0.37/0.78  (step @p1019 :rule bool-impl-elim :args (@t6 @t7))
% 0.37/0.78  (step @p1020 :rule refl :args (@t876))
% 0.37/0.78  (step @p1021 :rule nary_cong :premises (@p1020 @p1019) :args ((or @t876 @t31)))
% 0.37/0.78  (step @p1022 :rule trans :premises (@p1021 @p1018))
% 0.37/0.78  (step @p1023 :rule bool-impl-elim :args (@t35 @t31))
% 0.37/0.78  (step @p1024 :rule trans :premises (@p1023 @p1022))
% 0.37/0.78  (step @p1025 :rule cong :premises (@p1024) :args (@t245))
% 0.37/0.78  (step @p1026 :rule trans :premises (@p1025 @p1017))
% 0.37/0.78  (step @p1027 :rule refl :args (tptp.powersetE))
% 0.37/0.78  (step @p1028 :rule cong :premises (@p1027 @p1026) :args (@t246))
% 0.37/0.78  (step @p1029 :rule eq_resolve :premises (@p38 @p1028))
% 0.37/0.78  (step @p1030 :rule cong :premises (@p1029 @p997) :args (@t879))
% 0.37/0.78  (step @p1031 :rule eq-symm :args (@t501 tptp.emptyInPowerset))
% 0.37/0.78  (step @p1032 :rule refl :args (tptp.emptyInPowerset))
% 0.37/0.78  (step @p1033 :rule refl :args ((tptp.in tptp.emptyset @t33)))
% 0.37/0.78  (step @p1034 :rule cong :premises (@p119 @p999) :args (@t500))
% 0.37/0.78  (step @p1035 :rule trans :premises (@p1034 @p1033))
% 0.37/0.78  (step @p1036 :rule ho_cong :premises (@p122 @p999))
% 0.37/0.78  (step @p1037 :rule cong :premises (@p1036 @p1035) :args ((= (_ @t49 @t496) @t500)))
% 0.37/0.78  (step @p1038 :rule symm :premises (@p1037))
% 0.37/0.78  (step @p1039 :rule refl :args (@t241))
% 0.37/0.78  (step @p1040 :rule eq_resolve :premises (@p1039 @p1038))
% 0.37/0.78  (step @p1041 :rule ho_cong :premises (@p122 @p1012))
% 0.37/0.78  (step @p1042 :rule trans :premises (@p1041 @p1040))
% 0.37/0.78  (step @p1043 :rule cong :premises (@p1042) :args (@t242))
% 0.37/0.78  (step @p1044 :rule cong :premises (@p1043 @p1032) :args ((= @t242 tptp.emptyInPowerset)))
% 0.37/0.78  (step @p1045 :rule trans :premises (@p1044 @p1031))
% 0.37/0.78  (step @p1046 :rule eq-symm :args (tptp.emptyInPowerset @t242))
% 0.37/0.78  (step @p1047 :rule trans :premises (@p1046 @p1045))
% 0.37/0.78  (step @p1048 :rule eq_resolve :premises (@p37 @p1047))
% 0.37/0.78  (step @p1049 :rule cong :premises (@p1048 @p1030) :args (@t880))
% 0.37/0.78  (step @p1050 :rule refl :args (tptp.emptyinPowerset))
% 0.37/0.78  (step @p1051 :rule cong :premises (@p1050 @p1043) :args (@t243))
% 0.37/0.78  (step @p1052 :rule eq_resolve :premises (@p36 @p1051))
% 0.37/0.78  (step @p1053 :rule cong :premises (@p1052 @p1049) :args (@t881))
% 0.37/0.78  (step @p1054 :rule refl :args (@t505))
% 0.37/0.78  (step @p1055 :rule nary_cong :premises (@p1054 @p1014) :args (@t882))
% 0.37/0.78  (step @p1056 :rule cong :premises (@p1055) :args ((forall @t12 @t882)))
% 0.37/0.78  (step @p1057 :rule bool-impl-elim :args (@t504 @t35))
% 0.37/0.78  (step @p1058 :rule cong :premises (@p1057) :args ((forall @t12 (=> @t504 @t35))))
% 0.37/0.78  (step @p1059 :rule trans :premises (@p1058 @p1056))
% 0.37/0.78  (step @p1060 :rule refl :args (@t35))
% 0.37/0.78  (step @p1061 :rule nary_cong :premises (@p955 @p367) :args (@t878))
% 0.37/0.78  (step @p1062 :rule cong :premises (@p1061) :args ((forall @t9 @t878)))
% 0.37/0.78  (step @p1063 :rule cong :premises (@p1019) :args (@t32))
% 0.37/0.78  (step @p1064 :rule trans :premises (@p1063 @p1062))
% 0.37/0.78  (step @p1065 :rule cong :premises (@p1064 @p1060) :args (@t238))
% 0.37/0.78  (step @p1066 :rule cong :premises (@p1065) :args (@t239))
% 0.37/0.78  (step @p1067 :rule trans :premises (@p1066 @p1059))
% 0.37/0.78  (step @p1068 :rule refl :args (tptp.powersetI))
% 0.37/0.78  (step @p1069 :rule cong :premises (@p1068 @p1067) :args (@t240))
% 0.37/0.78  (step @p1070 :rule eq_resolve :premises (@p35 @p1069))
% 0.37/0.78  (step @p1071 :rule cong :premises (@p1070 @p1053) :args (@t883))
% 0.37/0.78  (step @p1072 :rule refl :args (@t510))
% 0.37/0.78  (step @p1073 :rule refl :args (@t509))
% 0.37/0.78  (step @p1074 :rule cong :premises (@p579 @p1073) :args (@t510))
% 0.37/0.78  (step @p1075 :rule trans :premises (@p1074 @p1072))
% 0.37/0.78  (step @p1076 :rule ho_cong :premises (@p582 @p1073))
% 0.37/0.78  (step @p1077 :rule cong :premises (@p1076 @p1075) :args ((= @t884 @t510)))
% 0.37/0.78  (step @p1078 :rule symm :premises (@p1077))
% 0.37/0.78  (step @p1079 :rule refl :args ((_ @t155 @t509)))
% 0.37/0.78  (step @p1080 :rule eq_resolve :premises (@p1079 @p1078))
% 0.37/0.78  (step @p1081 :rule cong :premises (@p579 @p1080) :args (@t885))
% 0.37/0.78  (step @p1082 :rule cong :premises (@p1081) :args ((forall @t64 @t885)))
% 0.37/0.78  (step @p1083 :rule eq-symm :args (@t884 @t2))
% 0.37/0.78  (step @p1084 :rule symm :premises (@p1073))
% 0.37/0.78  (step @p1085 :rule alpha_equiv :args (@t234 @t799 (@list @t508)))
% 0.37/0.78  (step @p1086 :rule trans :premises (@p1085 @p1084))
% 0.37/0.78  (step @p1087 :rule refl :args (@t155))
% 0.37/0.78  (step @p1088 :rule ho_cong :premises (@p1087 @p1086))
% 0.37/0.78  (step @p1089 :rule cong :premises (@p1088 @p569) :args (@t235))
% 0.37/0.78  (step @p1090 :rule trans :premises (@p1089 @p1083))
% 0.37/0.78  (step @p1091 :rule cong :premises (@p1090) :args (@t236))
% 0.37/0.78  (step @p1092 :rule trans :premises (@p1091 @p1082))
% 0.37/0.78  (step @p1093 :rule refl :args (tptp.setoftrueEq))
% 0.37/0.78  (step @p1094 :rule cong :premises (@p1093 @p1092) :args (@t237))
% 0.37/0.78  (step @p1095 :rule eq_resolve :premises (@p34 @p1094))
% 0.37/0.78  (step @p1096 :rule cong :premises (@p1095 @p1071) :args (@t886))
% 0.37/0.78  (step @p1097 :rule refl :args (@t513))
% 0.37/0.78  (step @p1098 :rule refl :args (@t21))
% 0.37/0.78  (step @p1099 :rule cong :premises (@p1098 @p1097) :args ((= @t21 @t513)))
% 0.37/0.78  (step @p1100 :rule symm :premises (@p1099))
% 0.37/0.78  (step @p1101 :rule eq_resolve :premises (@p1098 @p1100))
% 0.37/0.78  (step @p1102 :rule refl :args ((tptp.in @t19 @t25)))
% 0.37/0.78  (step @p1103 :rule refl :args (@t514))
% 0.37/0.78  (step @p1104 :rule cong :premises (@p621 @p1103) :args (@t515))
% 0.37/0.78  (step @p1105 :rule trans :premises (@p1104 @p1102))
% 0.37/0.78  (step @p1106 :rule ho_cong :premises (@p624 @p1103))
% 0.37/0.78  (step @p1107 :rule cong :premises (@p1106 @p1105) :args ((= (_ @t20 @t514) @t515)))
% 0.37/0.78  (step @p1108 :rule symm :premises (@p1107))
% 0.37/0.78  (step @p1109 :rule refl :args (@t26))
% 0.37/0.78  (step @p1110 :rule eq_resolve :premises (@p1109 @p1108))
% 0.37/0.78  (step @p1111 :rule refl :args (@t25))
% 0.37/0.78  (step @p1112 :rule cong :premises (@p1111 @p1103) :args ((= @t25 @t514)))
% 0.37/0.78  (step @p1113 :rule symm :premises (@p1112))
% 0.37/0.78  (step @p1114 :rule eq_resolve :premises (@p1111 @p1113))
% 0.37/0.78  (step @p1115 :rule ho_cong :premises (@p624 @p1114))
% 0.37/0.78  (step @p1116 :rule trans :premises (@p1115 @p1110))
% 0.37/0.78  (step @p1117 :rule cong :premises (@p1116) :args (@t887))
% 0.37/0.78  (step @p1118 :rule nary_cong :premises (@p1117 @p292 @p1101) :args (@t888))
% 0.37/0.78  (step @p1119 :rule cong :premises (@p1118) :args ((forall @t28 @t888)))
% 0.37/0.78  (step @p1120 :rule aci_norm :args ((= (or @t887 @t889) @t888)))
% 0.37/0.78  (step @p1121 :rule bool-impl-elim :args (@t26 @t889))
% 0.37/0.78  (step @p1122 :rule trans :premises (@p1121 @p1120))
% 0.37/0.78  (step @p1123 :rule cong :premises (@p1122) :args ((forall @t28 (=> @t26 @t889))))
% 0.37/0.78  (step @p1124 :rule trans :premises (@p1123 @p1119))
% 0.37/0.78  (step @p1125 :rule refl :args (@t21))
% 0.37/0.78  (step @p1126 :rule nary_cong :premises (@p844 @p1125) :args (@t23))
% 0.37/0.78  (step @p1127 :rule refl :args (@t26))
% 0.37/0.78  (step @p1128 :rule cong :premises (@p1127 @p1126) :args (@t231))
% 0.37/0.78  (step @p1129 :rule cong :premises (@p1128) :args (@t232))
% 0.37/0.78  (step @p1130 :rule trans :premises (@p1129 @p1124))
% 0.37/0.78  (step @p1131 :rule refl :args (tptp.setadjoinOr))
% 0.37/0.78  (step @p1132 :rule cong :premises (@p1131 @p1130) :args (@t233))
% 0.37/0.78  (step @p1133 :rule eq_resolve :premises (@p33 @p1132))
% 0.37/0.78  (step @p1134 :rule cong :premises (@p1133 @p1096) :args (@t890))
% 0.37/0.78  (step @p1135 :rule refl :args (@t513))
% 0.37/0.78  (step @p1136 :rule nary_cong :premises (@p1117 @p292 @p1135) :args (@t891))
% 0.37/0.78  (step @p1137 :rule cong :premises (@p1136) :args ((forall @t28 @t891)))
% 0.37/0.78  (step @p1138 :rule aci_norm :args ((= (or @t887 @t673) @t891)))
% 0.37/0.78  (step @p1139 :rule bool-impl-elim :args (@t26 @t673))
% 0.37/0.78  (step @p1140 :rule trans :premises (@p1139 @p1138))
% 0.37/0.78  (step @p1141 :rule cong :premises (@p1140) :args ((forall @t28 (=> @t26 @t673))))
% 0.37/0.78  (step @p1142 :rule trans :premises (@p1141 @p1137))
% 0.37/0.78  (step @p1143 :rule aci_norm :args ((= (and @t513 true) @t513)))
% 0.37/0.78  (step @p1144 :rule refl :args (@t513))
% 0.37/0.78  (step @p1145 :rule nary_cong :premises (@p1144 @p917) :args (@t892))
% 0.37/0.78  (step @p1146 :rule trans :premises (@p1145 @p1143))
% 0.37/0.78  (step @p1147 :rule aci_norm :args ((= (and @t129 true) @t129)))
% 0.37/0.78  (step @p1148 :rule nary_cong :premises (@p301 @p917) :args (@t893))
% 0.37/0.78  (step @p1149 :rule trans :premises (@p1148 @p1147))
% 0.37/0.78  (step @p1150 :rule nary_cong :premises (@p1149 @p1146) :args (@t894))
% 0.37/0.78  (step @p1151 :rule aci_norm :args ((= @t895 @t894)))
% 0.37/0.78  (step @p1152 :rule trans :premises (@p1151 @p1150))
% 0.37/0.78  (step @p1153 :rule quant-var-elim-eq :args ((= (forall @t179 (or @t862 @t897 @t896 @t173)) @t895)))
% 0.37/0.78  (step @p1154 :rule refl :args (@t896))
% 0.37/0.78  (step @p1155 :rule refl :args (@t897))
% 0.37/0.78  (step @p1156 :rule nary_cong :premises (@p930 @p1155 @p1154 @p923) :args (@t898))
% 0.37/0.78  (step @p1157 :rule aci_norm :args ((= @t899 @t898)))
% 0.37/0.78  (step @p1158 :rule trans :premises (@p1157 @p1156))
% 0.37/0.78  (step @p1159 :rule cong :premises (@p1158) :args ((forall @t179 @t899)))
% 0.37/0.78  (step @p1160 :rule trans :premises (@p1159 @p1153))
% 0.37/0.78  (step @p1161 :rule trans :premises (@p1160 @p1152))
% 0.37/0.78  (step @p1162 :rule nary_cong :premises (@p1101 @p436) :args (@t900))
% 0.37/0.78  (step @p1163 :rule nary_cong :premises (@p1155 @p1162 @p923) :args (@t901))
% 0.37/0.78  (step @p1164 :rule cong :premises (@p1163) :args ((forall @t179 @t901)))
% 0.37/0.78  (step @p1165 :rule trans :premises (@p1164 @p1161))
% 0.37/0.78  (step @p1166 :rule aci_norm :args ((= (or @t897 (or @t900 @t173)) @t901)))
% 0.37/0.78  (step @p1167 :rule bool-implies-de-morgan :args (@t21 @t173))
% 0.37/0.78  (step @p1168 :rule nary_cong :premises (@p1167 @p923) :args ((or (not @t223) @t173)))
% 0.37/0.78  (step @p1169 :rule bool-impl-elim :args (@t223 @t173))
% 0.37/0.78  (step @p1170 :rule trans :premises (@p1169 @p1168))
% 0.37/0.78  (step @p1171 :rule bool-implies-de-morgan :args (@t129 @t173))
% 0.37/0.78  (step @p1172 :rule nary_cong :premises (@p1171 @p1170) :args ((or (not @t902) @t224)))
% 0.37/0.78  (step @p1173 :rule trans :premises (@p1172 @p1166))
% 0.37/0.78  (step @p1174 :rule bool-impl-elim :args (@t902 @t224))
% 0.37/0.78  (step @p1175 :rule trans :premises (@p1174 @p1173))
% 0.37/0.78  (step @p1176 :rule cong :premises (@p1175) :args ((forall @t179 (=> @t902 @t224))))
% 0.37/0.78  (step @p1177 :rule trans :premises (@p1176 @p1165))
% 0.37/0.78  (step @p1178 :rule refl :args (@t224))
% 0.37/0.78  (step @p1179 :rule cong :premises (@p844 @p943) :args (@t225))
% 0.37/0.78  (step @p1180 :rule cong :premises (@p1179 @p1178) :args (@t226))
% 0.37/0.78  (step @p1181 :rule cong :premises (@p1180) :args (@t227))
% 0.37/0.78  (step @p1182 :rule trans :premises (@p1181 @p1177))
% 0.37/0.78  (step @p1183 :rule cong :premises (@p1127 @p1182) :args (@t228))
% 0.37/0.78  (step @p1184 :rule cong :premises (@p1183) :args (@t229))
% 0.37/0.78  (step @p1185 :rule trans :premises (@p1184 @p1142))
% 0.37/0.78  (step @p1186 :rule refl :args (tptp.setadjoinE))
% 0.37/0.78  (step @p1187 :rule cong :premises (@p1186 @p1185) :args (@t230))
% 0.37/0.78  (step @p1188 :rule eq_resolve :premises (@p32 @p1187))
% 0.37/0.78  (step @p1189 :rule cong :premises (@p1188 @p1134) :args (@t903))
% 0.37/0.78  (step @p1190 :rule cong :premises (@p1101) :args (@t904))
% 0.37/0.78  (step @p1191 :rule nary_cong :premises (@p1190 @p1116) :args (@t905))
% 0.37/0.78  (step @p1192 :rule cong :premises (@p1191) :args ((forall @t28 @t905)))
% 0.37/0.78  (step @p1193 :rule bool-impl-elim :args (@t21 @t26))
% 0.37/0.78  (step @p1194 :rule cong :premises (@p1193) :args (@t221))
% 0.37/0.78  (step @p1195 :rule trans :premises (@p1194 @p1192))
% 0.37/0.78  (step @p1196 :rule refl :args (tptp.setadjoinIR))
% 0.37/0.78  (step @p1197 :rule cong :premises (@p1196 @p1195) :args (@t222))
% 0.37/0.78  (step @p1198 :rule eq_resolve :premises (@p31 @p1197))
% 0.37/0.78  (step @p1199 :rule cong :premises (@p1198 @p1189) :args (@t906))
% 0.37/0.78  (step @p1200 :rule cong :premises (@p30 @p1199) :args (@t907))
% 0.37/0.78  (step @p1201 :rule refl :args ((tptp.in @t4 @t215)))
% 0.37/0.78  (step @p1202 :rule refl :args (@t525))
% 0.37/0.78  (step @p1203 :rule cong :premises (@p618 @p1202) :args (@t526))
% 0.37/0.78  (step @p1204 :rule trans :premises (@p1203 @p1201))
% 0.37/0.78  (step @p1205 :rule ho_cong :premises (@p652 @p1202))
% 0.37/0.78  (step @p1206 :rule cong :premises (@p1205 @p1204) :args ((= (_ @t5 @t525) @t526)))
% 0.37/0.78  (step @p1207 :rule symm :premises (@p1206))
% 0.37/0.78  (step @p1208 :rule refl :args (@t216))
% 0.37/0.78  (step @p1209 :rule eq_resolve :premises (@p1208 @p1207))
% 0.37/0.78  (step @p1210 :rule refl :args (@t215))
% 0.37/0.78  (step @p1211 :rule cong :premises (@p1210 @p1202) :args ((= @t215 @t525)))
% 0.37/0.78  (step @p1212 :rule symm :premises (@p1211))
% 0.37/0.78  (step @p1213 :rule eq_resolve :premises (@p1210 @p1212))
% 0.37/0.78  (step @p1214 :rule ho_cong :premises (@p652 @p1213))
% 0.37/0.78  (step @p1215 :rule trans :premises (@p1214 @p1209))
% 0.37/0.78  (step @p1216 :rule cong :premises (@p1215) :args (@t217))
% 0.37/0.78  (step @p1217 :rule refl :args (tptp.setadjoinIL))
% 0.37/0.78  (step @p1218 :rule cong :premises (@p1217 @p1216) :args (@t218))
% 0.37/0.78  (step @p1219 :rule eq_resolve :premises (@p29 @p1218))
% 0.37/0.78  (step @p1220 :rule cong :premises (@p1219 @p1200) :args (@t908))
% 0.37/0.78  (step @p1221 :rule aci_norm :args ((= (or @t530 false) @t530)))
% 0.37/0.78  (step @p1222 :rule eq-refl :args (tptp.emptyset))
% 0.37/0.78  (step @p1223 :rule cong :premises (@p1222) :args (@t909))
% 0.37/0.78  (step @p1224 :rule trans :premises (@p1223 @p431))
% 0.37/0.78  (step @p1225 :rule refl :args (@t530))
% 0.37/0.78  (step @p1226 :rule nary_cong :premises (@p1225 @p1224) :args (@t910))
% 0.37/0.78  (step @p1227 :rule trans :premises (@p1226 @p1221))
% 0.37/0.78  (step @p1228 :rule cong :premises (@p1227) :args ((forall @t531 @t910)))
% 0.37/0.78  (step @p1229 :rule quant-var-elim-eq :args ((= (forall @t64 @t912) @t910)))
% 0.37/0.78  (step @p1230 :rule aci_norm :args ((= @t913 @t912)))
% 0.37/0.78  (step @p1231 :rule cong :premises (@p1230) :args (@t914))
% 0.37/0.78  (step @p1232 :rule trans :premises (@p1231 @p1229))
% 0.37/0.78  (step @p1233 :rule cong :premises (@p1232) :args (@t915))
% 0.37/0.78  (step @p1234 :rule quant-merge-prenex :args ((= @t915 @t916)))
% 0.37/0.78  (step @p1235 :rule symm :premises (@p1234))
% 0.37/0.78  (step @p1236 :rule quant_var_reordering :args ((= @t917 @t916)))
% 0.37/0.78  (step @p1237 :rule trans :premises (@p1236 @p1235 @p1233))
% 0.37/0.78  (step @p1238 :rule trans :premises (@p1237 @p1228))
% 0.37/0.78  (step @p1239 :rule quant-merge-prenex :args ((= (forall @t64 @t918) @t917)))
% 0.37/0.78  (step @p1240 :rule refl :args (@t833))
% 0.37/0.78  (step @p1241 :rule alpha_equiv :args (@t919 (@list @t529) @t799))
% 0.37/0.78  (step @p1242 :rule nary_cong :premises (@p1241 @p1240) :args (@t920))
% 0.37/0.78  (step @p1243 :rule quant-miniscope-or :args ((= @t918 @t920)))
% 0.37/0.78  (step @p1244 :rule trans :premises (@p1243 @p1242))
% 0.37/0.78  (step @p1245 :rule symm :premises (@p1244))
% 0.37/0.78  (step @p1246 :rule cong :premises (@p1245) :args ((forall @t64 (or @t469 @t833))))
% 0.37/0.78  (step @p1247 :rule trans :premises (@p1246 @p1239))
% 0.37/0.78  (step @p1248 :rule trans :premises (@p1247 @p1238))
% 0.37/0.78  (step @p1249 :rule bool-double-not-elim :args (@t469))
% 0.37/0.78  (step @p1250 :rule nary_cong :premises (@p1249 @p1240) :args ((or @t921 @t833)))
% 0.37/0.78  (step @p1251 :rule bool-impl-elim :args (@t470 @t833))
% 0.37/0.78  (step @p1252 :rule trans :premises (@p1251 @p1250))
% 0.37/0.78  (step @p1253 :rule cong :premises (@p1252) :args ((forall @t64 (=> @t470 @t833))))
% 0.37/0.78  (step @p1254 :rule trans :premises (@p1253 @p1248))
% 0.37/0.78  (step @p1255 :rule cong :premises (@p794 @p798) :args (@t922))
% 0.37/0.78  (step @p1256 :rule cong :premises (@p1255) :args (@t923))
% 0.37/0.78  (step @p1257 :rule trans :premises (@p1256 @p1254))
% 0.37/0.78  (step @p1258 :rule refl :args (tptp.nonemptyI1))
% 0.37/0.78  (step @p1259 :rule cong :premises (@p1258 @p1257) :args ((= tptp.nonemptyI1 @t923)))
% 0.37/0.78  (step @p1260 :rule refl :args (@t89))
% 0.37/0.78  (step @p1261 :rule cong :premises (@p1260 @p805) :args (@t212))
% 0.37/0.78  (step @p1262 :rule cong :premises (@p1261) :args (@t213))
% 0.37/0.78  (step @p1263 :rule cong :premises (@p1258 @p1262) :args (@t214))
% 0.37/0.78  (step @p1264 :rule trans :premises (@p1263 @p1259))
% 0.37/0.78  (step @p1265 :rule eq_resolve :premises (@p28 @p1264))
% 0.37/0.78  (step @p1266 :rule cong :premises (@p1265 @p1220) :args (@t924))
% 0.37/0.78  (step @p1267 :rule lambda-elim :args ((= @t925 @t143)))
% 0.37/0.78  (step @p1268 :rule cong :premises (@p569 @p1267) :args (@t926))
% 0.37/0.78  (step @p1269 :rule cong :premises (@p72 @p1268) :args (@t927))
% 0.37/0.78  (step @p1270 :rule cong :premises (@p1269) :args (@t928))
% 0.37/0.78  (step @p1271 :rule refl :args (@t414))
% 0.37/0.78  (step @p1272 :rule refl :args (@t468))
% 0.37/0.78  (step @p1273 :rule nary_cong :premises (@p1272 @p1271 @p1270) :args (@t929))
% 0.37/0.78  (step @p1274 :rule cong :premises (@p1273) :args ((forall @t159 @t929)))
% 0.37/0.78  (step @p1275 :rule refl :args ((tptp.dsetconstr @t2 @t154)))
% 0.37/0.78  (step @p1276 :rule cong :premises (@p293) :args (@t925))
% 0.37/0.78  (step @p1277 :rule cong :premises (@p579 @p1276) :args (@t926))
% 0.37/0.78  (step @p1278 :rule trans :premises (@p1277 @p1275))
% 0.37/0.78  (step @p1279 :rule ho_cong :premises (@p582 @p1276))
% 0.37/0.78  (step @p1280 :rule cong :premises (@p1279 @p1278) :args ((= (_ @t155 @t925) @t926)))
% 0.37/0.78  (step @p1281 :rule symm :premises (@p1280))
% 0.37/0.78  (step @p1282 :rule refl :args (@t156))
% 0.37/0.78  (step @p1283 :rule eq_resolve :premises (@p1282 @p1281))
% 0.37/0.78  (step @p1284 :rule cong :premises (@p297) :args (@t154))
% 0.37/0.78  (step @p1285 :rule ho_cong :premises (@p582 @p1284))
% 0.37/0.78  (step @p1286 :rule trans :premises (@p1285 @p1283))
% 0.37/0.78  (step @p1287 :rule cong :premises (@p119 @p1286) :args (@t930))
% 0.37/0.78  (step @p1288 :rule cong :premises (@p1287) :args (@t931))
% 0.37/0.78  (step @p1289 :rule nary_cong :premises (@p368 @p289 @p1288) :args (@t932))
% 0.37/0.78  (step @p1290 :rule cong :premises (@p1289) :args ((forall @t159 @t932)))
% 0.37/0.78  (step @p1291 :rule trans :premises (@p1290 @p1274))
% 0.37/0.78  (step @p1292 :rule aci_norm :args ((= (or @t196 (or @t313 @t931)) @t932)))
% 0.37/0.78  (step @p1293 :rule bool-impl-elim :args (@t144 @t931))
% 0.37/0.78  (step @p1294 :rule nary_cong :premises (@p372 @p1293) :args ((or @t196 @t933)))
% 0.37/0.78  (step @p1295 :rule trans :premises (@p1294 @p1292))
% 0.37/0.78  (step @p1296 :rule bool-impl-elim :args (@t7 @t933))
% 0.37/0.78  (step @p1297 :rule trans :premises (@p1296 @p1295))
% 0.37/0.78  (step @p1298 :rule cong :premises (@p1297) :args ((forall @t159 (=> @t7 @t933))))
% 0.37/0.78  (step @p1299 :rule trans :premises (@p1298 @p1291))
% 0.37/0.78  (step @p1300 :rule eq-symm :args (@t156 tptp.emptyset))
% 0.37/0.78  (step @p1301 :rule cong :premises (@p1300) :args (@t934))
% 0.37/0.78  (step @p1302 :rule beta-reduce :args ((= @t935 @t934)))
% 0.37/0.78  (step @p1303 :rule trans :premises (@p1302 @p1301))
% 0.37/0.78  (step @p1304 :rule cong :premises (@p325 @p1303) :args (@t936))
% 0.37/0.78  (step @p1305 :rule refl :args (@t7))
% 0.37/0.78  (step @p1306 :rule cong :premises (@p1305 @p1304) :args (@t937))
% 0.37/0.78  (step @p1307 :rule cong :premises (@p1306) :args (@t938))
% 0.37/0.78  (step @p1308 :rule trans :premises (@p1307 @p1299))
% 0.37/0.78  (step @p1309 :rule refl :args (tptp.nonemptyI))
% 0.37/0.78  (step @p1310 :rule cong :premises (@p1309 @p1308) :args ((= tptp.nonemptyI @t938)))
% 0.37/0.78  (step @p1311 :rule refl :args (@t156))
% 0.37/0.78  (step @p1312 :rule ho_cong :premises (@p65 @p1311))
% 0.37/0.78  (step @p1313 :rule cong :premises (@p325 @p1312) :args (@t208))
% 0.37/0.78  (step @p1314 :rule cong :premises (@p1305 @p1313) :args (@t209))
% 0.37/0.78  (step @p1315 :rule cong :premises (@p1314) :args (@t210))
% 0.37/0.78  (step @p1316 :rule cong :premises (@p1309 @p1315) :args (@t211))
% 0.37/0.78  (step @p1317 :rule trans :premises (@p1316 @p1310))
% 0.37/0.78  (step @p1318 :rule eq_resolve :premises (@p27 @p1317))
% 0.37/0.78  (step @p1319 :rule cong :premises (@p1318 @p1266) :args (@t939))
% 0.37/0.78  (step @p1320 :rule cong :premises (@p798 @p794) :args (@t940))
% 0.37/0.78  (step @p1321 :rule cong :premises (@p1320) :args (@t941))
% 0.37/0.78  (step @p1322 :rule trans :premises (@p1321 @p790))
% 0.37/0.78  (step @p1323 :rule refl :args (tptp.nonemptyE1))
% 0.37/0.78  (step @p1324 :rule cong :premises (@p1323 @p1322) :args ((= tptp.nonemptyE1 @t941)))
% 0.37/0.78  (step @p1325 :rule cong :premises (@p805 @p1260) :args (@t205))
% 0.37/0.78  (step @p1326 :rule cong :premises (@p1325) :args (@t206))
% 0.37/0.78  (step @p1327 :rule cong :premises (@p1323 @p1326) :args (@t207))
% 0.37/0.78  (step @p1328 :rule trans :premises (@p1327 @p1324))
% 0.37/0.78  (step @p1329 :rule eq_resolve :premises (@p26 @p1328))
% 0.37/0.78  (step @p1330 :rule cong :premises (@p1329 @p1319) :args (@t942))
% 0.37/0.78  (step @p1331 :rule refl :args (@t4))
% 0.37/0.78  (step @p1332 :rule cong :premises (@p1331 @p1268) :args (@t943))
% 0.37/0.78  (step @p1333 :rule refl :args (@t413))
% 0.37/0.78  (step @p1334 :rule cong :premises (@p1333 @p1332) :args (@t944))
% 0.37/0.78  (step @p1335 :rule nary_cong :premises (@p1272 @p1334) :args (@t945))
% 0.37/0.78  (step @p1336 :rule cong :premises (@p1335) :args ((forall @t159 @t945)))
% 0.37/0.78  (step @p1337 :rule refl :args ((tptp.in @t4 @t156)))
% 0.37/0.78  (step @p1338 :rule cong :premises (@p618 @p1278) :args (@t943))
% 0.37/0.78  (step @p1339 :rule trans :premises (@p1338 @p1337))
% 0.37/0.78  (step @p1340 :rule ho_cong :premises (@p652 @p1278))
% 0.37/0.78  (step @p1341 :rule cong :premises (@p1340 @p1339) :args ((= (_ @t5 @t926) @t943)))
% 0.37/0.78  (step @p1342 :rule symm :premises (@p1341))
% 0.37/0.78  (step @p1343 :rule refl :args (@t157))
% 0.37/0.78  (step @p1344 :rule eq_resolve :premises (@p1343 @p1342))
% 0.37/0.78  (step @p1345 :rule ho_cong :premises (@p652 @p1286))
% 0.37/0.78  (step @p1346 :rule trans :premises (@p1345 @p1344))
% 0.37/0.78  (step @p1347 :rule cong :premises (@p288 @p1346) :args (@t946))
% 0.37/0.78  (step @p1348 :rule nary_cong :premises (@p368 @p1347) :args (@t947))
% 0.37/0.78  (step @p1349 :rule cong :premises (@p1348) :args ((forall @t159 @t947)))
% 0.37/0.78  (step @p1350 :rule trans :premises (@p1349 @p1336))
% 0.37/0.78  (step @p1351 :rule bool-impl-elim :args (@t7 @t946))
% 0.37/0.78  (step @p1352 :rule cong :premises (@p1351) :args ((forall @t159 (=> @t7 @t946))))
% 0.37/0.78  (step @p1353 :rule trans :premises (@p1352 @p1350))
% 0.37/0.78  (step @p1354 :rule eq-symm :args (@t157 @t144))
% 0.37/0.78  (step @p1355 :rule cong :premises (@p1305 @p1354) :args (@t201))
% 0.37/0.78  (step @p1356 :rule cong :premises (@p1355) :args (@t202))
% 0.37/0.78  (step @p1357 :rule trans :premises (@p1356 @p1353))
% 0.37/0.78  (step @p1358 :rule refl :args (tptp.setbeta))
% 0.37/0.78  (step @p1359 :rule cong :premises (@p1358 @p1357) :args (@t203))
% 0.37/0.78  (step @p1360 :rule eq_resolve :premises (@p25 @p1359))
% 0.37/0.78  (step @p1361 :rule cong :premises (@p1360 @p1330) :args (@t948))
% 0.37/0.78  (step @p1362 :rule eq-symm :args (@t540 tptp.noeltsimpempty))
% 0.37/0.78  (step @p1363 :rule refl :args (tptp.noeltsimpempty))
% 0.37/0.78  (step @p1364 :rule bool-impl-elim :args (@t469 @t195))
% 0.37/0.78  (step @p1365 :rule cong :premises (@p1364) :args ((forall @t64 (=> @t469 @t195))))
% 0.37/0.78  (step @p1366 :rule refl :args (@t195))
% 0.37/0.78  (step @p1367 :rule cong :premises (@p791 @p1366) :args (@t198))
% 0.37/0.78  (step @p1368 :rule cong :premises (@p1367) :args (@t199))
% 0.37/0.78  (step @p1369 :rule trans :premises (@p1368 @p1365))
% 0.37/0.78  (step @p1370 :rule cong :premises (@p1369 @p1363) :args ((= @t199 tptp.noeltsimpempty)))
% 0.37/0.78  (step @p1371 :rule trans :premises (@p1370 @p1362))
% 0.37/0.78  (step @p1372 :rule eq-symm :args (tptp.noeltsimpempty @t199))
% 0.37/0.78  (step @p1373 :rule trans :premises (@p1372 @p1371))
% 0.37/0.78  (step @p1374 :rule eq_resolve :premises (@p24 @p1373))
% 0.37/0.78  (step @p1375 :rule cong :premises (@p1374 @p1361) :args (@t949))
% 0.37/0.78  (step @p1376 :rule refl :args (tptp.emptyI))
% 0.37/0.78  (step @p1377 :rule cong :premises (@p1376 @p1369) :args (@t200))
% 0.37/0.78  (step @p1378 :rule eq_resolve :premises (@p23 @p1377))
% 0.37/0.78  (step @p1379 :rule cong :premises (@p1378 @p1375) :args (@t950))
% 0.37/0.78  (step @p1380 :rule aci_norm :args ((= (or @t544 (or @t505 @t3)) @t545)))
% 0.37/0.78  (step @p1381 :rule bool-impl-elim :args (@t504 @t3))
% 0.37/0.78  (step @p1382 :rule refl :args (@t544))
% 0.37/0.78  (step @p1383 :rule nary_cong :premises (@p1382 @p1381) :args ((or @t544 @t951)))
% 0.37/0.78  (step @p1384 :rule trans :premises (@p1383 @p1380))
% 0.37/0.78  (step @p1385 :rule bool-impl-elim :args (@t543 @t951))
% 0.37/0.78  (step @p1386 :rule trans :premises (@p1385 @p1384))
% 0.37/0.78  (step @p1387 :rule cong :premises (@p1386) :args ((forall @t12 (=> @t543 @t951))))
% 0.37/0.78  (step @p1388 :rule refl :args (@t3))
% 0.37/0.78  (step @p1389 :rule cong :premises (@p1064 @p1388) :args (@t190))
% 0.37/0.78  (step @p1390 :rule nary_cong :premises (@p368 @p954) :args (@t952))
% 0.37/0.78  (step @p1391 :rule cong :premises (@p1390) :args ((forall @t9 @t952)))
% 0.37/0.78  (step @p1392 :rule bool-impl-elim :args (@t7 @t6))
% 0.37/0.78  (step @p1393 :rule cong :premises (@p1392) :args (@t191))
% 0.37/0.78  (step @p1394 :rule trans :premises (@p1393 @p1391))
% 0.37/0.78  (step @p1395 :rule cong :premises (@p1394 @p1389) :args (@t192))
% 0.37/0.78  (step @p1396 :rule cong :premises (@p1395) :args (@t193))
% 0.37/0.78  (step @p1397 :rule trans :premises (@p1396 @p1387))
% 0.37/0.78  (step @p1398 :rule refl :args (tptp.setext))
% 0.37/0.78  (step @p1399 :rule cong :premises (@p1398 @p1397) :args (@t194))
% 0.37/0.78  (step @p1400 :rule eq_resolve :premises (@p22 @p1399))
% 0.37/0.78  (step @p1401 :rule cong :premises (@p1400 @p1379) :args (@t953))
% 0.37/0.78  (step @p1402 :rule eq-symm :args (@t548 @t19))
% 0.37/0.78  (step @p1403 :rule nary_cong :premises (@p813 @p1402) :args (@t954))
% 0.37/0.78  (step @p1404 :rule cong :premises (@p1403) :args (@t955))
% 0.37/0.78  (step @p1405 :rule cong :premises (@p1404) :args (@t956))
% 0.37/0.78  (step @p1406 :rule refl :args (@t549))
% 0.37/0.78  (step @p1407 :rule refl :args (@t551))
% 0.37/0.78  (step @p1408 :rule nary_cong :premises (@p1407 @p1406 @p1405) :args (@t957))
% 0.37/0.78  (step @p1409 :rule aci_norm :args ((= @t959 @t957)))
% 0.37/0.78  (step @p1410 :rule trans :premises (@p1409 @p1408))
% 0.37/0.78  (step @p1411 :rule cong :premises (@p1410) :args (@t960))
% 0.37/0.78  (step @p1412 :rule quant-merge-prenex :args ((= (forall @t150 @t962) @t960)))
% 0.37/0.78  (step @p1413 :rule refl :args (@t551))
% 0.37/0.78  (step @p1414 :rule alpha_equiv :args (@t963 (@list @t548) @t799))
% 0.37/0.78  (step @p1415 :rule nary_cong :premises (@p1414 @p1413) :args (@t964))
% 0.37/0.78  (step @p1416 :rule quant-miniscope-or :args ((= @t962 @t964)))
% 0.37/0.78  (step @p1417 :rule trans :premises (@p1416 @p1415))
% 0.37/0.78  (step @p1418 :rule symm :premises (@p1417))
% 0.37/0.78  (step @p1419 :rule cong :premises (@p1418) :args ((forall @t150 (or @t415 @t551))))
% 0.37/0.78  (step @p1420 :rule trans :premises (@p1419 @p1412))
% 0.37/0.78  (step @p1421 :rule trans :premises (@p1420 @p1411))
% 0.37/0.78  (step @p1422 :rule nary_cong :premises (@p276 @p1413) :args ((or @t738 @t551)))
% 0.37/0.78  (step @p1423 :rule bool-impl-elim :args (@t416 @t551))
% 0.37/0.78  (step @p1424 :rule trans :premises (@p1423 @p1422))
% 0.37/0.78  (step @p1425 :rule cong :premises (@p1424) :args ((forall @t150 (=> @t416 @t551))))
% 0.37/0.78  (step @p1426 :rule trans :premises (@p1425 @p1421))
% 0.37/0.78  (step @p1427 :rule cong :premises (@p289) :args (@t965))
% 0.37/0.78  (step @p1428 :rule cong :premises (@p1427) :args (@t966))
% 0.37/0.78  (step @p1429 :rule exists-elim :args ((= @t186 @t966)))
% 0.37/0.78  (step @p1430 :rule trans :premises (@p1429 @p1428))
% 0.37/0.78  (step @p1431 :rule cong :premises (@p315 @p1430) :args (@t967))
% 0.37/0.78  (step @p1432 :rule cong :premises (@p1431) :args (@t968))
% 0.37/0.78  (step @p1433 :rule trans :premises (@p1432 @p1426))
% 0.37/0.78  (step @p1434 :rule refl :args (tptp.exuE3e))
% 0.37/0.78  (step @p1435 :rule cong :premises (@p1434 @p1433) :args ((= tptp.exuE3e @t968)))
% 0.37/0.78  (step @p1436 :rule refl :args (@t186))
% 0.37/0.78  (step @p1437 :rule cong :premises (@p338 @p1436) :args (@t187))
% 0.37/0.78  (step @p1438 :rule cong :premises (@p1437) :args (@t188))
% 0.37/0.78  (step @p1439 :rule cong :premises (@p1434 @p1438) :args (@t189))
% 0.37/0.78  (step @p1440 :rule trans :premises (@p1439 @p1435))
% 0.37/0.78  (step @p1441 :rule eq_resolve :premises (@p21 @p1440))
% 0.37/0.78  (step @p1442 :rule cong :premises (@p1441 @p1401) :args (@t969))
% 0.37/0.78  (step @p1443 :rule eq-symm :args (@t555 tptp.notinemptyset))
% 0.37/0.78  (step @p1444 :rule refl :args (tptp.notinemptyset))
% 0.37/0.78  (step @p1445 :rule cong :premises (@p546) :args (@t17))
% 0.37/0.78  (step @p1446 :rule cong :premises (@p1445 @p1444) :args ((= @t17 tptp.notinemptyset)))
% 0.37/0.78  (step @p1447 :rule trans :premises (@p1446 @p1443))
% 0.37/0.78  (step @p1448 :rule eq-symm :args (tptp.notinemptyset @t17))
% 0.37/0.78  (step @p1449 :rule trans :premises (@p1448 @p1447))
% 0.37/0.78  (step @p1450 :rule eq_resolve :premises (@p20 @p1449))
% 0.37/0.78  (step @p1451 :rule cong :premises (@p1450 @p1442) :args (@t970))
% 0.37/0.78  (step @p1452 :rule bool-impl-false1 :args (@t15))
% 0.37/0.78  (step @p1453 :rule cong :premises (@p1452) :args (@t184))
% 0.37/0.78  (step @p1454 :rule trans :premises (@p1453 @p1445))
% 0.37/0.78  (step @p1455 :rule refl :args (tptp.emptysetimpfalse))
% 0.37/0.78  (step @p1456 :rule cong :premises (@p1455 @p1454) :args (@t185))
% 0.37/0.78  (step @p1457 :rule eq_resolve :premises (@p19 @p1456))
% 0.37/0.78  (step @p1458 :rule cong :premises (@p1457 @p1451) :args (@t971))
% 0.37/0.78  (step @p1459 :rule quant-var-elim-eq :args ((= (forall @t179 (or @t862 @t173)) false)))
% 0.37/0.78  (step @p1460 :rule nary_cong :premises (@p930 @p923) :args (@t972))
% 0.37/0.78  (step @p1461 :rule aci_norm :args ((= @t173 @t972)))
% 0.37/0.78  (step @p1462 :rule trans :premises (@p1461 @p1460))
% 0.37/0.78  (step @p1463 :rule cong :premises (@p1462) :args (@t180))
% 0.37/0.78  (step @p1464 :rule trans :premises (@p1463 @p1459))
% 0.37/0.78  (step @p1465 :rule refl :args (@t15))
% 0.37/0.78  (step @p1466 :rule cong :premises (@p1465 @p1464) :args (@t181))
% 0.37/0.78  (step @p1467 :rule trans :premises (@p1466 @p1452))
% 0.37/0.78  (step @p1468 :rule cong :premises (@p1467) :args (@t182))
% 0.37/0.78  (step @p1469 :rule trans :premises (@p1468 @p1445))
% 0.37/0.78  (step @p1470 :rule refl :args (tptp.emptysetE))
% 0.37/0.78  (step @p1471 :rule cong :premises (@p1470 @p1469) :args (@t183))
% 0.37/0.78  (step @p1472 :rule eq_resolve :premises (@p18 @p1471))
% 0.37/0.78  (step @p1473 :rule cong :premises (@p1472 @p1458) :args (@t973))
% 0.37/0.78  (step @p1474 :rule aci_norm :args ((= @t974 @t559)))
% 0.37/0.78  (step @p1475 :rule cong :premises (@p1474) :args ((forall @t9 @t974)))
% 0.37/0.78  (step @p1476 :rule quant-var-elim-eq :args ((= (forall @t179 (or @t862 @t976 @t173)) @t974)))
% 0.37/0.78  (step @p1477 :rule refl :args (@t976))
% 0.37/0.78  (step @p1478 :rule nary_cong :premises (@p930 @p1477 @p923) :args (@t977))
% 0.37/0.78  (step @p1479 :rule aci_norm :args ((= @t978 @t977)))
% 0.37/0.78  (step @p1480 :rule trans :premises (@p1479 @p1478))
% 0.37/0.78  (step @p1481 :rule cong :premises (@p1480) :args (@t979))
% 0.37/0.78  (step @p1482 :rule trans :premises (@p1481 @p1476))
% 0.37/0.78  (step @p1483 :rule cong :premises (@p1482) :args (@t980))
% 0.37/0.78  (step @p1484 :rule quant-merge-prenex :args ((= @t980 @t981)))
% 0.37/0.78  (step @p1485 :rule symm :premises (@p1484))
% 0.37/0.78  (step @p1486 :rule quant_var_reordering :args ((= (forall @t176 @t978) @t981)))
% 0.37/0.78  (step @p1487 :rule trans :premises (@p1486 @p1485 @p1483))
% 0.37/0.78  (step @p1488 :rule trans :premises (@p1487 @p1475))
% 0.37/0.78  (step @p1489 :rule refl :args ((tptp.in @t4 @t174)))
% 0.37/0.78  (step @p1490 :rule cong :premises (@p618 @p447) :args (@t975))
% 0.37/0.78  (step @p1491 :rule trans :premises (@p1490 @p1489))
% 0.37/0.78  (step @p1492 :rule ho_cong :premises (@p652 @p447))
% 0.37/0.78  (step @p1493 :rule cong :premises (@p1492 @p1491) :args ((= (_ @t5 @t773) @t975)))
% 0.37/0.78  (step @p1494 :rule symm :premises (@p1493))
% 0.37/0.78  (step @p1495 :rule refl :args (@t175))
% 0.37/0.78  (step @p1496 :rule eq_resolve :premises (@p1495 @p1494))
% 0.37/0.78  (step @p1497 :rule ho_cong :premises (@p652 @p459))
% 0.37/0.78  (step @p1498 :rule trans :premises (@p1497 @p1496))
% 0.37/0.78  (step @p1499 :rule cong :premises (@p1498) :args (@t982))
% 0.37/0.78  (step @p1500 :rule nary_cong :premises (@p1499 @p923) :args (@t983))
% 0.37/0.78  (step @p1501 :rule cong :premises (@p1500) :args ((forall @t176 @t983)))
% 0.37/0.78  (step @p1502 :rule trans :premises (@p1501 @p1488))
% 0.37/0.78  (step @p1503 :rule bool-impl-elim :args (@t175 @t173))
% 0.37/0.78  (step @p1504 :rule cong :premises (@p1503) :args (@t177))
% 0.37/0.78  (step @p1505 :rule trans :premises (@p1504 @p1502))
% 0.37/0.78  (step @p1506 :rule refl :args (tptp.prop2setE))
% 0.37/0.78  (step @p1507 :rule cong :premises (@p1506 @p1505) :args (@t178))
% 0.37/0.78  (step @p1508 :rule eq_resolve :premises (@p17 @p1507))
% 0.37/0.78  (step @p1509 :rule cong :premises (@p1508 @p1473) :args (@t984))
% 0.37/0.78  (step @p1510 :rule bool-eq-true :args (tptp.exuE1))
% 0.37/0.78  (step @p1511 :rule symm :premises (@p1510))
% 0.37/0.78  (step @p1512 :rule cong :premises (@p315 @p328) :args (@t985))
% 0.37/0.78  (step @p1513 :rule cong :premises (@p1512) :args (@t986))
% 0.37/0.78  (step @p1514 :rule trans :premises (@p1513 @p282))
% 0.37/0.78  (step @p1515 :rule refl :args (tptp.exuE1))
% 0.37/0.78  (step @p1516 :rule cong :premises (@p1515 @p1514) :args ((= tptp.exuE1 @t986)))
% 0.37/0.78  (step @p1517 :rule trans :premises (@p1516 @p1510))
% 0.37/0.78  (step @p1518 :rule cong :premises (@p338 @p339) :args (@t170))
% 0.37/0.78  (step @p1519 :rule cong :premises (@p1518) :args (@t171))
% 0.37/0.78  (step @p1520 :rule cong :premises (@p1515 @p1519) :args (@t172))
% 0.37/0.78  (step @p1521 :rule trans :premises (@p1520 @p1517))
% 0.37/0.78  (step @p1522 :rule eq_resolve :premises (@p16 @p1521))
% 0.37/0.78  (step @p1523 :rule eq_resolve :premises (@p1522 @p1511))
% 0.37/0.78  (step @p1524 :rule cong :premises (@p1523 @p1509) :args (@t987))
% 0.37/0.78  (step @p1525 :rule cong :premises (@p1332) :args (@t988))
% 0.37/0.78  (step @p1526 :rule nary_cong :premises (@p1525 @p1333) :args (@t989))
% 0.37/0.78  (step @p1527 :rule cong :premises (@p1526) :args ((forall @t159 @t989)))
% 0.37/0.78  (step @p1528 :rule cong :premises (@p1346) :args (@t990))
% 0.37/0.78  (step @p1529 :rule nary_cong :premises (@p1528 @p288) :args (@t991))
% 0.37/0.78  (step @p1530 :rule cong :premises (@p1529) :args ((forall @t159 @t991)))
% 0.37/0.78  (step @p1531 :rule trans :premises (@p1530 @p1527))
% 0.37/0.78  (step @p1532 :rule bool-impl-elim :args (@t157 @t144))
% 0.37/0.78  (step @p1533 :rule cong :premises (@p1532) :args (@t164))
% 0.37/0.78  (step @p1534 :rule trans :premises (@p1533 @p1531))
% 0.37/0.78  (step @p1535 :rule refl :args (tptp.dsetconstrER))
% 0.37/0.78  (step @p1536 :rule cong :premises (@p1535 @p1534) :args (@t165))
% 0.37/0.78  (step @p1537 :rule eq_resolve :premises (@p15 @p1536))
% 0.37/0.78  (step @p1538 :rule cong :premises (@p1537 @p1524) :args (@t992))
% 0.37/0.78  (step @p1539 :rule refl :args (@t467))
% 0.37/0.78  (step @p1540 :rule nary_cong :premises (@p1525 @p1539) :args (@t993))
% 0.37/0.78  (step @p1541 :rule cong :premises (@p1540) :args ((forall @t159 @t993)))
% 0.37/0.78  (step @p1542 :rule nary_cong :premises (@p1528 @p367) :args (@t994))
% 0.37/0.78  (step @p1543 :rule cong :premises (@p1542) :args ((forall @t159 @t994)))
% 0.37/0.78  (step @p1544 :rule trans :premises (@p1543 @p1541))
% 0.37/0.78  (step @p1545 :rule bool-impl-elim :args (@t157 @t7))
% 0.37/0.78  (step @p1546 :rule cong :premises (@p1545) :args (@t162))
% 0.37/0.78  (step @p1547 :rule trans :premises (@p1546 @p1544))
% 0.37/0.78  (step @p1548 :rule refl :args (tptp.dsetconstrEL))
% 0.37/0.78  (step @p1549 :rule cong :premises (@p1548 @p1547) :args (@t163))
% 0.37/0.78  (step @p1550 :rule eq_resolve :premises (@p14 @p1549))
% 0.37/0.78  (step @p1551 :rule cong :premises (@p1550 @p1538) :args (@t995))
% 0.37/0.78  (step @p1552 :rule nary_cong :premises (@p1272 @p1271 @p1332) :args (@t996))
% 0.37/0.78  (step @p1553 :rule cong :premises (@p1552) :args ((forall @t159 @t996)))
% 0.37/0.78  (step @p1554 :rule nary_cong :premises (@p368 @p289 @p1346) :args (@t997))
% 0.37/0.78  (step @p1555 :rule cong :premises (@p1554) :args ((forall @t159 @t997)))
% 0.37/0.78  (step @p1556 :rule trans :premises (@p1555 @p1553))
% 0.37/0.78  (step @p1557 :rule aci_norm :args ((= (or @t196 (or @t313 @t157)) @t997)))
% 0.37/0.78  (step @p1558 :rule bool-impl-elim :args (@t144 @t157))
% 0.37/0.78  (step @p1559 :rule nary_cong :premises (@p372 @p1558) :args ((or @t196 @t158)))
% 0.37/0.78  (step @p1560 :rule trans :premises (@p1559 @p1557))
% 0.37/0.78  (step @p1561 :rule bool-impl-elim :args (@t7 @t158))
% 0.37/0.78  (step @p1562 :rule trans :premises (@p1561 @p1560))
% 0.37/0.78  (step @p1563 :rule cong :premises (@p1562) :args (@t160))
% 0.37/0.78  (step @p1564 :rule trans :premises (@p1563 @p1556))
% 0.37/0.78  (step @p1565 :rule refl :args (tptp.dsetconstrI))
% 0.37/0.78  (step @p1566 :rule cong :premises (@p1565 @p1564) :args (@t161))
% 0.37/0.78  (step @p1567 :rule eq_resolve :premises (@p13 @p1566))
% 0.37/0.78  (step @p1568 :rule cong :premises (@p1567 @p1551) :args (@t998))
% 0.37/0.78  (step @p1569 :rule eq-symm :args (@t569 @t19))
% 0.37/0.78  (step @p1570 :rule nary_cong :premises (@p813 @p1569) :args (@t999))
% 0.37/0.78  (step @p1571 :rule cong :premises (@p1570) :args (@t1000))
% 0.37/0.78  (step @p1572 :rule cong :premises (@p1571) :args (@t1001))
% 0.37/0.78  (step @p1573 :rule refl :args (@t570))
% 0.37/0.78  (step @p1574 :rule refl :args (@t571))
% 0.37/0.78  (step @p1575 :rule nary_cong :premises (@p1574 @p1573 @p1572) :args (@t1002))
% 0.37/0.78  (step @p1576 :rule aci_norm :args ((= @t1004 @t1002)))
% 0.37/0.78  (step @p1577 :rule trans :premises (@p1576 @p1575))
% 0.37/0.78  (step @p1578 :rule cong :premises (@p1577) :args (@t1005))
% 0.37/0.78  (step @p1579 :rule quant-merge-prenex :args ((= (forall @t150 @t1007) @t1005)))
% 0.37/0.78  (step @p1580 :rule refl :args (@t571))
% 0.37/0.78  (step @p1581 :rule alpha_equiv :args (@t1008 (@list @t569) @t799))
% 0.37/0.78  (step @p1582 :rule nary_cong :premises (@p1581 @p1580) :args (@t1009))
% 0.37/0.78  (step @p1583 :rule quant-miniscope-or :args ((= @t1007 @t1009)))
% 0.37/0.78  (step @p1584 :rule trans :premises (@p1583 @p1582))
% 0.37/0.78  (step @p1585 :rule symm :premises (@p1584))
% 0.37/0.78  (step @p1586 :rule cong :premises (@p1585) :args ((forall @t150 (or @t415 @t571))))
% 0.37/0.78  (step @p1587 :rule trans :premises (@p1586 @p1579))
% 0.37/0.78  (step @p1588 :rule trans :premises (@p1587 @p1578))
% 0.37/0.78  (step @p1589 :rule cong :premises (@p568) :args (@t1010))
% 0.37/0.78  (step @p1590 :rule cong :premises (@p1589) :args (@t1011))
% 0.37/0.78  (step @p1591 :rule refl :args (@t415))
% 0.37/0.78  (step @p1592 :rule nary_cong :premises (@p1591 @p1590) :args (@t1012))
% 0.37/0.78  (step @p1593 :rule cong :premises (@p1592) :args ((forall @t150 @t1012)))
% 0.37/0.78  (step @p1594 :rule trans :premises (@p1593 @p1588))
% 0.37/0.78  (step @p1595 :rule refl :args ((_ @t143 @t146)))
% 0.37/0.78  (step @p1596 :rule refl :args ((tptp.descr @t145)))
% 0.37/0.78  (step @p1597 :rule cong :premises (@p578) :args (@t1010))
% 0.37/0.78  (step @p1598 :rule trans :premises (@p1597 @p1596))
% 0.37/0.78  (step @p1599 :rule cong :premises (@p1598) :args (@t1011))
% 0.37/0.78  (step @p1600 :rule trans :premises (@p1599 @p1595))
% 0.37/0.78  (step @p1601 :rule refl :args (@t143))
% 0.37/0.78  (step @p1602 :rule ho_cong :premises (@p1601 @p1598))
% 0.37/0.78  (step @p1603 :rule cong :premises (@p1602 @p1600) :args ((= (_ @t143 @t1010) @t1011)))
% 0.37/0.78  (step @p1604 :rule symm :premises (@p1603))
% 0.37/0.78  (step @p1605 :rule refl :args (@t147))
% 0.37/0.78  (step @p1606 :rule eq_resolve :premises (@p1605 @p1604))
% 0.37/0.78  (step @p1607 :rule refl :args (tptp.descr))
% 0.37/0.78  (step @p1608 :rule ho_cong :premises (@p1607 @p578))
% 0.37/0.78  (step @p1609 :rule cong :premises (@p1608 @p1598) :args ((= (_ tptp.descr @t801) @t1010)))
% 0.37/0.78  (step @p1610 :rule symm :premises (@p1609))
% 0.37/0.78  (step @p1611 :rule refl :args (@t146))
% 0.37/0.78  (step @p1612 :rule eq_resolve :premises (@p1611 @p1610))
% 0.37/0.78  (step @p1613 :rule ho_cong :premises (@p1607 @p588))
% 0.37/0.78  (step @p1614 :rule trans :premises (@p1613 @p1612))
% 0.37/0.78  (step @p1615 :rule ho_cong :premises (@p1601 @p1614))
% 0.37/0.78  (step @p1616 :rule trans :premises (@p1615 @p1606))
% 0.37/0.78  (step @p1617 :rule refl :args (@t415))
% 0.37/0.78  (step @p1618 :rule nary_cong :premises (@p1617 @p1616) :args (@t1013))
% 0.37/0.78  (step @p1619 :rule cong :premises (@p1618) :args ((forall @t150 @t1013)))
% 0.37/0.78  (step @p1620 :rule trans :premises (@p1619 @p1594))
% 0.37/0.78  (step @p1621 :rule nary_cong :premises (@p276 @p1605) :args ((or @t738 @t147)))
% 0.37/0.78  (step @p1622 :rule bool-impl-elim :args (@t416 @t147))
% 0.37/0.78  (step @p1623 :rule trans :premises (@p1622 @p1621))
% 0.37/0.78  (step @p1624 :rule cong :premises (@p1623) :args ((forall @t150 (=> @t416 @t147))))
% 0.37/0.78  (step @p1625 :rule trans :premises (@p1624 @p1620))
% 0.37/0.78  (step @p1626 :rule refl :args (@t147))
% 0.37/0.78  (step @p1627 :rule cong :premises (@p315 @p1626) :args (@t1014))
% 0.37/0.78  (step @p1628 :rule cong :premises (@p1627) :args (@t1015))
% 0.37/0.78  (step @p1629 :rule trans :premises (@p1628 @p1625))
% 0.37/0.78  (step @p1630 :rule refl :args (tptp.descrp))
% 0.37/0.78  (step @p1631 :rule cong :premises (@p1630 @p1629) :args ((= tptp.descrp @t1015)))
% 0.37/0.78  (step @p1632 :rule cong :premises (@p338 @p1626) :args (@t149))
% 0.37/0.78  (step @p1633 :rule cong :premises (@p1632) :args (@t151))
% 0.37/0.78  (step @p1634 :rule cong :premises (@p1630 @p1633) :args (@t152))
% 0.37/0.78  (step @p1635 :rule trans :premises (@p1634 @p1631))
% 0.37/0.78  (step @p1636 :rule eq_resolve :premises (@p12 @p1635))
% 0.37/0.78  (step @p1637 :rule cong :premises (@p1636 @p1568) :args (@t1016))
% 0.37/0.78  (step @p1638 :rule aci_norm :args ((= (or @t623 (or @t616 (or @t612 @t600))) @t624)))
% 0.37/0.78  (step @p1639 :rule bool-and-de-morgan :args (@t611 @t599 true))
% 0.37/0.78  (step @p1640 :rule refl :args (@t616))
% 0.37/0.78  (step @p1641 :rule nary_cong :premises (@p1640 @p1639) :args ((or @t616 (not (and @t611 @t599)))))
% 0.37/0.78  (step @p1642 :rule bool-and-de-morgan :args (@t615 @t611 (and @t599)))
% 0.37/0.78  (step @p1643 :rule trans :premises (@p1642 @p1641))
% 0.37/0.78  (step @p1644 :rule refl :args (@t623))
% 0.37/0.78  (step @p1645 :rule nary_cong :premises (@p1644 @p1643) :args ((or @t623 (not (and @t615 @t611 @t599)))))
% 0.37/0.78  (step @p1646 :rule bool-and-de-morgan :args (@t622 @t615 (and @t611 @t599)))
% 0.37/0.78  (step @p1647 :rule trans :premises (@p1646 @p1645))
% 0.37/0.78  (step @p1648 :rule trans :premises (@p1647 @p1638))
% 0.37/0.78  (step @p1649 :rule cong :premises (@p1648) :args (@t1018))
% 0.37/0.78  (step @p1650 :rule cong :premises (@p1649) :args (@t1019))
% 0.37/0.78  (step @p1651 :rule exists-elim :args ((= (exists @t41 @t1017) @t1019)))
% 0.37/0.78  (step @p1652 :rule trans :premises (@p1651 @p1650))
% 0.37/0.78  (step @p1653 :rule quant-merge-prenex :args ((= (forall @t118 @t1021) @t599)))
% 0.37/0.78  (step @p1654 :rule refl :args (@t593))
% 0.37/0.78  (step @p1655 :rule alpha_equiv :args (@t1022 (@list @t594) @t799))
% 0.37/0.78  (step @p1656 :rule refl :args (@t597))
% 0.37/0.78  (step @p1657 :rule nary_cong :premises (@p1656 @p1655 @p1654) :args (@t1023))
% 0.37/0.78  (step @p1658 :rule quant-miniscope-or :args ((= @t1021 @t1023)))
% 0.37/0.78  (step @p1659 :rule trans :premises (@p1658 @p1657))
% 0.37/0.78  (step @p1660 :rule symm :premises (@p1659))
% 0.37/0.78  (step @p1661 :rule cong :premises (@p1660) :args ((forall @t118 @t1025)))
% 0.37/0.78  (step @p1662 :rule trans :premises (@p1661 @p1653))
% 0.37/0.78  (step @p1663 :rule aci_norm :args ((= (or (or @t597 @t1024) @t593) @t1025)))
% 0.37/0.78  (step @p1664 :rule bool-double-not-elim :args (@t1024))
% 0.37/0.78  (step @p1665 :rule nary_cong :premises (@p1656 @p1664) :args ((or @t597 (not @t1026))))
% 0.37/0.78  (step @p1666 :rule bool-and-de-morgan :args (@t596 @t1026 true))
% 0.37/0.78  (step @p1667 :rule trans :premises (@p1666 @p1665))
% 0.37/0.78  (step @p1668 :rule nary_cong :premises (@p1667 @p1654) :args ((or (not @t1027) @t593)))
% 0.37/0.78  (step @p1669 :rule trans :premises (@p1668 @p1663))
% 0.37/0.78  (step @p1670 :rule bool-impl-elim :args (@t1027 @t593))
% 0.37/0.78  (step @p1671 :rule trans :premises (@p1670 @p1669))
% 0.37/0.78  (step @p1672 :rule cong :premises (@p1671) :args ((forall @t118 (=> @t1027 @t593))))
% 0.37/0.78  (step @p1673 :rule trans :premises (@p1672 @p1662))
% 0.37/0.78  (step @p1674 :rule refl :args (@t584))
% 0.37/0.78  (step @p1675 :rule refl :args (@t588))
% 0.37/0.78  (step @p1676 :rule refl :args (@t589))
% 0.37/0.78  (step @p1677 :rule refl :args (@t109))
% 0.37/0.78  (step @p1678 :rule cong :premises (@p1677 @p1676) :args ((= @t109 @t589)))
% 0.37/0.78  (step @p1679 :rule symm :premises (@p1678))
% 0.37/0.78  (step @p1680 :rule eq_resolve :premises (@p1677 @p1679))
% 0.37/0.78  (step @p1681 :rule cong :premises (@p1680) :args (@t1028))
% 0.37/0.78  (step @p1682 :rule refl :args (@t591))
% 0.37/0.78  (step @p1683 :rule refl :args (@t110))
% 0.37/0.78  (step @p1684 :rule cong :premises (@p1683 @p1682) :args ((= @t110 @t591)))
% 0.37/0.78  (step @p1685 :rule symm :premises (@p1684))
% 0.37/0.78  (step @p1686 :rule eq_resolve :premises (@p1683 @p1685))
% 0.37/0.78  (step @p1687 :rule cong :premises (@p1686) :args (@t1029))
% 0.37/0.78  (step @p1688 :rule nary_cong :premises (@p1687 @p1681 @p1675 @p1674) :args (@t1030))
% 0.37/0.78  (step @p1689 :rule cong :premises (@p1688) :args ((forall @t112 @t1030)))
% 0.37/0.78  (step @p1690 :rule aci_norm :args ((= (or @t1029 (or @t1028 (or @t588 @t584))) @t1030)))
% 0.37/0.78  (step @p1691 :rule bool-and-de-morgan :args (@t587 @t583 true))
% 0.37/0.78  (step @p1692 :rule refl :args (@t1028))
% 0.37/0.78  (step @p1693 :rule nary_cong :premises (@p1692 @p1691) :args ((or @t1028 (not (and @t587 @t583)))))
% 0.37/0.78  (step @p1694 :rule bool-and-de-morgan :args (@t109 @t587 (and @t583)))
% 0.37/0.78  (step @p1695 :rule trans :premises (@p1694 @p1693))
% 0.37/0.78  (step @p1696 :rule refl :args (@t1029))
% 0.37/0.78  (step @p1697 :rule nary_cong :premises (@p1696 @p1695) :args ((or @t1029 (not (and @t109 @t587 @t583)))))
% 0.37/0.78  (step @p1698 :rule bool-and-de-morgan :args (@t110 @t109 (and @t587 @t583)))
% 0.37/0.78  (step @p1699 :rule trans :premises (@p1698 @p1697))
% 0.37/0.78  (step @p1700 :rule trans :premises (@p1699 @p1690))
% 0.37/0.78  (step @p1701 :rule cong :premises (@p1700) :args (@t1032))
% 0.37/0.78  (step @p1702 :rule trans :premises (@p1701 @p1689))
% 0.37/0.78  (step @p1703 :rule cong :premises (@p1702) :args (@t1033))
% 0.37/0.78  (step @p1704 :rule exists-elim :args ((= (exists @t112 @t1031) @t1033)))
% 0.37/0.78  (step @p1705 :rule trans :premises (@p1704 @p1703))
% 0.37/0.78  (step @p1706 :rule aci_norm :args ((= @t1035 @t581)))
% 0.37/0.78  (step @p1707 :rule cong :premises (@p1706) :args (@t1036))
% 0.37/0.78  (step @p1708 :rule quant-merge-prenex :args ((= (forall @t102 @t1038) @t1036)))
% 0.37/0.78  (step @p1709 :rule refl :args (@t578))
% 0.37/0.78  (step @p1710 :rule alpha_equiv :args (@t1039 (@list @t575) (@list @t19)))
% 0.37/0.78  (step @p1711 :rule refl :args (@t580))
% 0.37/0.78  (step @p1712 :rule nary_cong :premises (@p1711 @p1710 @p1709) :args (@t1040))
% 0.37/0.78  (step @p1713 :rule quant-miniscope-or :args ((= @t1038 @t1040)))
% 0.37/0.78  (step @p1714 :rule trans :premises (@p1713 @p1712))
% 0.37/0.78  (step @p1715 :rule symm :premises (@p1714))
% 0.37/0.78  (step @p1716 :rule cong :premises (@p1715) :args ((forall @t102 (or @t580 @t1042 @t578))))
% 0.37/0.78  (step @p1717 :rule trans :premises (@p1716 @p1708))
% 0.37/0.78  (step @p1718 :rule trans :premises (@p1717 @p1707))
% 0.37/0.78  (step @p1719 :rule refl :args (@t578))
% 0.37/0.78  (step @p1720 :rule refl :args (@t94))
% 0.37/0.78  (step @p1721 :rule cong :premises (@p1720 @p1719) :args ((= @t94 @t578)))
% 0.37/0.78  (step @p1722 :rule symm :premises (@p1721))
% 0.37/0.78  (step @p1723 :rule eq_resolve :premises (@p1720 @p1722))
% 0.37/0.78  (step @p1724 :rule refl :args (@t1042))
% 0.37/0.78  (step @p1725 :rule refl :args (@t579))
% 0.37/0.78  (step @p1726 :rule refl :args (@t100))
% 0.37/0.78  (step @p1727 :rule cong :premises (@p1726 @p1725) :args ((= @t100 @t579)))
% 0.37/0.78  (step @p1728 :rule symm :premises (@p1727))
% 0.37/0.78  (step @p1729 :rule eq_resolve :premises (@p1726 @p1728))
% 0.37/0.78  (step @p1730 :rule cong :premises (@p1729) :args (@t1043))
% 0.37/0.78  (step @p1731 :rule nary_cong :premises (@p1730 @p1724 @p1723) :args (@t1044))
% 0.37/0.78  (step @p1732 :rule cong :premises (@p1731) :args ((forall @t102 @t1044)))
% 0.37/0.78  (step @p1733 :rule trans :premises (@p1732 @p1718))
% 0.37/0.78  (step @p1734 :rule aci_norm :args ((= (or @t1043 @t1045) @t1044)))
% 0.37/0.78  (step @p1735 :rule bool-impl-elim :args (@t100 @t1045))
% 0.37/0.78  (step @p1736 :rule trans :premises (@p1735 @p1734))
% 0.37/0.78  (step @p1737 :rule cong :premises (@p1736) :args ((forall @t102 (=> @t100 @t1045))))
% 0.37/0.78  (step @p1738 :rule trans :premises (@p1737 @p1733))
% 0.37/0.78  (step @p1739 :rule refl :args (@t94))
% 0.37/0.78  (step @p1740 :rule refl :args (@t586))
% 0.37/0.78  (step @p1741 :rule refl :args (@t96))
% 0.37/0.78  (step @p1742 :rule cong :premises (@p1741 @p1740) :args ((= @t96 @t586)))
% 0.37/0.78  (step @p1743 :rule symm :premises (@p1742))
% 0.37/0.78  (step @p1744 :rule eq_resolve :premises (@p1741 @p1743))
% 0.37/0.78  (step @p1745 :rule refl :args (@t1041))
% 0.37/0.78  (step @p1746 :rule refl :args (@t97))
% 0.37/0.78  (step @p1747 :rule cong :premises (@p1746 @p1745) :args ((= @t97 @t1041)))
% 0.37/0.78  (step @p1748 :rule symm :premises (@p1747))
% 0.37/0.78  (step @p1749 :rule eq_resolve :premises (@p1746 @p1748))
% 0.37/0.78  (step @p1750 :rule cong :premises (@p1749) :args (@t1046))
% 0.37/0.78  (step @p1751 :rule nary_cong :premises (@p1750 @p1744) :args (@t1047))
% 0.37/0.78  (step @p1752 :rule cong :premises (@p1751) :args ((forall @t70 @t1047)))
% 0.37/0.78  (step @p1753 :rule bool-impl-elim :args (@t97 @t96))
% 0.37/0.78  (step @p1754 :rule cong :premises (@p1753) :args (@t98))
% 0.37/0.78  (step @p1755 :rule trans :premises (@p1754 @p1752))
% 0.37/0.78  (step @p1756 :rule nary_cong :premises (@p1755 @p1739) :args (@t99))
% 0.37/0.78  (step @p1757 :rule refl :args (@t100))
% 0.37/0.78  (step @p1758 :rule cong :premises (@p1757 @p1756) :args (@t101))
% 0.37/0.78  (step @p1759 :rule cong :premises (@p1758) :args (@t103))
% 0.37/0.78  (step @p1760 :rule trans :premises (@p1759 @p1738))
% 0.37/0.78  (step @p1761 :rule bool-double-not-elim :args (@t587))
% 0.37/0.78  (step @p1762 :rule refl :args (@t585))
% 0.37/0.78  (step @p1763 :rule refl :args (@t105))
% 0.37/0.78  (step @p1764 :rule cong :premises (@p1763 @p1762) :args ((= @t105 @t585)))
% 0.37/0.78  (step @p1765 :rule symm :premises (@p1764))
% 0.37/0.78  (step @p1766 :rule eq_resolve :premises (@p1763 @p1765))
% 0.37/0.78  (step @p1767 :rule cong :premises (@p1766) :args (@t1048))
% 0.37/0.78  (step @p1768 :rule cong :premises (@p1744) :args (@t1049))
% 0.37/0.78  (step @p1769 :rule nary_cong :premises (@p1768 @p1767) :args (@t1050))
% 0.37/0.78  (step @p1770 :rule cong :premises (@p1769) :args ((forall @t70 @t1050)))
% 0.37/0.78  (step @p1771 :rule bool-and-de-morgan :args (@t96 @t105 true))
% 0.37/0.78  (step @p1772 :rule cong :premises (@p1771) :args (@t1051))
% 0.37/0.78  (step @p1773 :rule trans :premises (@p1772 @p1770))
% 0.37/0.78  (step @p1774 :rule cong :premises (@p1773) :args (@t1052))
% 0.37/0.78  (step @p1775 :rule exists-elim :args ((= @t107 @t1052)))
% 0.37/0.78  (step @p1776 :rule trans :premises (@p1775 @p1774))
% 0.37/0.78  (step @p1777 :rule cong :premises (@p1776) :args (@t108))
% 0.37/0.78  (step @p1778 :rule trans :premises (@p1777 @p1761))
% 0.37/0.78  (step @p1779 :rule refl :args (@t109))
% 0.37/0.78  (step @p1780 :rule refl :args (@t110))
% 0.37/0.78  (step @p1781 :rule nary_cong :premises (@p1780 @p1779 @p1778 @p1760) :args (@t111))
% 0.37/0.78  (step @p1782 :rule cong :premises (@p1781) :args (@t113))
% 0.37/0.78  (step @p1783 :rule trans :premises (@p1782 @p1705))
% 0.37/0.78  (step @p1784 :rule cong :premises (@p1681) :args (@t1053))
% 0.37/0.78  (step @p1785 :rule cong :premises (@p1784) :args (@t1054))
% 0.37/0.78  (step @p1786 :rule exists-elim :args ((= @t114 @t1054)))
% 0.37/0.78  (step @p1787 :rule trans :premises (@p1786 @p1785))
% 0.37/0.78  (step @p1788 :rule nary_cong :premises (@p1681 @p367) :args (@t1055))
% 0.37/0.78  (step @p1789 :rule cong :premises (@p1788) :args ((forall @t9 @t1055)))
% 0.37/0.78  (step @p1790 :rule bool-impl-elim :args (@t109 @t7))
% 0.37/0.78  (step @p1791 :rule cong :premises (@p1790) :args (@t115))
% 0.37/0.78  (step @p1792 :rule trans :premises (@p1791 @p1789))
% 0.37/0.78  (step @p1793 :rule nary_cong :premises (@p1792 @p1787) :args (@t116))
% 0.37/0.78  (step @p1794 :rule cong :premises (@p1793 @p1783) :args (@t117))
% 0.37/0.78  (step @p1795 :rule cong :premises (@p1794) :args (@t119))
% 0.37/0.78  (step @p1796 :rule trans :premises (@p1795 @p1673))
% 0.37/0.78  (step @p1797 :rule aci_norm :args ((= @t1058 @t609)))
% 0.37/0.78  (step @p1798 :rule cong :premises (@p1797) :args (@t1059))
% 0.37/0.78  (step @p1799 :rule quant-merge-prenex :args ((= (forall @t127 @t1060) @t1059)))
% 0.37/0.78  (step @p1800 :rule alpha_equiv :args (@t1061 (@list @t601) @t799))
% 0.37/0.78  (step @p1801 :rule alpha_equiv :args (@t1062 (@list @t604) @t799))
% 0.37/0.78  (step @p1802 :rule refl :args (@t592))
% 0.37/0.78  (step @p1803 :rule refl :args (@t608))
% 0.37/0.78  (step @p1804 :rule nary_cong :premises (@p1803 @p1802 @p1801 @p1800) :args (@t1063))
% 0.37/0.78  (step @p1805 :rule quant-miniscope-or :args ((= @t1060 @t1063)))
% 0.37/0.78  (step @p1806 :rule trans :premises (@p1805 @p1804))
% 0.37/0.78  (step @p1807 :rule symm :premises (@p1806))
% 0.37/0.78  (step @p1808 :rule cong :premises (@p1807) :args ((forall @t127 (or @t608 @t592 @t1066 @t1065))))
% 0.37/0.78  (step @p1809 :rule trans :premises (@p1808 @p1799))
% 0.37/0.78  (step @p1810 :rule trans :premises (@p1809 @p1798))
% 0.37/0.78  (step @p1811 :rule refl :args (@t1065))
% 0.37/0.78  (step @p1812 :rule refl :args (@t1066))
% 0.37/0.78  (step @p1813 :rule refl :args (@t607))
% 0.37/0.78  (step @p1814 :rule refl :args (@t124))
% 0.37/0.78  (step @p1815 :rule cong :premises (@p1814 @p1813) :args ((= @t124 @t607)))
% 0.37/0.78  (step @p1816 :rule symm :premises (@p1815))
% 0.37/0.78  (step @p1817 :rule eq_resolve :premises (@p1814 @p1816))
% 0.37/0.78  (step @p1818 :rule cong :premises (@p1817) :args (@t1067))
% 0.37/0.78  (step @p1819 :rule nary_cong :premises (@p1818 @p1687 @p1812 @p1811) :args (@t1068))
% 0.37/0.78  (step @p1820 :rule cong :premises (@p1819) :args ((forall @t127 @t1068)))
% 0.37/0.78  (step @p1821 :rule trans :premises (@p1820 @p1810))
% 0.37/0.78  (step @p1822 :rule aci_norm :args ((= (or (or @t1067 @t1029) @t1069) @t1068)))
% 0.37/0.78  (step @p1823 :rule refl :args (@t1069))
% 0.37/0.78  (step @p1824 :rule bool-and-de-morgan :args (@t124 @t110 true))
% 0.37/0.78  (step @p1825 :rule nary_cong :premises (@p1824 @p1823) :args ((or (not @t125) @t1069)))
% 0.37/0.78  (step @p1826 :rule trans :premises (@p1825 @p1822))
% 0.37/0.78  (step @p1827 :rule bool-impl-elim :args (@t125 @t1069))
% 0.37/0.78  (step @p1828 :rule trans :premises (@p1827 @p1826))
% 0.37/0.78  (step @p1829 :rule cong :premises (@p1828) :args ((forall @t127 (=> @t125 @t1069))))
% 0.37/0.78  (step @p1830 :rule trans :premises (@p1829 @p1821))
% 0.37/0.78  (step @p1831 :rule refl :args (@t1064))
% 0.37/0.78  (step @p1832 :rule refl :args (@t120))
% 0.37/0.78  (step @p1833 :rule cong :premises (@p1832 @p1831) :args ((= @t120 @t1064)))
% 0.37/0.78  (step @p1834 :rule symm :premises (@p1833))
% 0.37/0.78  (step @p1835 :rule eq_resolve :premises (@p1832 @p1834))
% 0.37/0.78  (step @p1836 :rule cong :premises (@p1835) :args (@t1070))
% 0.37/0.78  (step @p1837 :rule nary_cong :premises (@p1836 @p1680) :args (@t1071))
% 0.37/0.78  (step @p1838 :rule cong :premises (@p1837) :args ((forall @t9 @t1071)))
% 0.37/0.78  (step @p1839 :rule bool-impl-elim :args (@t120 @t109))
% 0.37/0.78  (step @p1840 :rule cong :premises (@p1839) :args (@t121))
% 0.37/0.78  (step @p1841 :rule trans :premises (@p1840 @p1838))
% 0.37/0.78  (step @p1842 :rule nary_cong :premises (@p1681 @p1835) :args (@t1072))
% 0.37/0.78  (step @p1843 :rule cong :premises (@p1842) :args ((forall @t9 @t1072)))
% 0.37/0.78  (step @p1844 :rule bool-impl-elim :args (@t109 @t120))
% 0.37/0.78  (step @p1845 :rule cong :premises (@p1844) :args (@t122))
% 0.37/0.78  (step @p1846 :rule trans :premises (@p1845 @p1843))
% 0.37/0.78  (step @p1847 :rule nary_cong :premises (@p1846 @p1841) :args (@t123))
% 0.37/0.78  (step @p1848 :rule refl :args (@t125))
% 0.37/0.78  (step @p1849 :rule cong :premises (@p1848 @p1847) :args (@t126))
% 0.37/0.78  (step @p1850 :rule cong :premises (@p1849) :args (@t128))
% 0.37/0.78  (step @p1851 :rule trans :premises (@p1850 @p1830))
% 0.37/0.78  (step @p1852 :rule refl :args (@t614))
% 0.37/0.78  (step @p1853 :rule nary_cong :premises (@p368 @p1190 @p1852 @p292) :args (@t1073))
% 0.37/0.78  (step @p1854 :rule cong :premises (@p1853) :args ((forall @t135 @t1073)))
% 0.37/0.78  (step @p1855 :rule aci_norm :args ((= (or (or @t196 @t904) (or @t614 @t129)) @t1073)))
% 0.37/0.78  (step @p1856 :rule bool-impl-elim :args (@t613 @t129))
% 0.37/0.78  (step @p1857 :rule bool-and-de-morgan :args (@t7 @t21 true))
% 0.37/0.78  (step @p1858 :rule nary_cong :premises (@p1857 @p1856) :args ((or (not @t133) @t1074)))
% 0.37/0.78  (step @p1859 :rule trans :premises (@p1858 @p1855))
% 0.37/0.78  (step @p1860 :rule bool-impl-elim :args (@t133 @t1074))
% 0.37/0.78  (step @p1861 :rule trans :premises (@p1860 @p1859))
% 0.37/0.78  (step @p1862 :rule cong :premises (@p1861) :args ((forall @t135 (=> @t133 @t1074))))
% 0.37/0.78  (step @p1863 :rule trans :premises (@p1862 @p1854))
% 0.37/0.78  (step @p1864 :rule cong :premises (@p1680 @p1766) :args (@t130))
% 0.37/0.78  (step @p1865 :rule nary_cong :premises (@p1818 @p1864) :args (@t1075))
% 0.37/0.78  (step @p1866 :rule cong :premises (@p1865) :args ((forall @t118 @t1075)))
% 0.37/0.78  (step @p1867 :rule bool-impl-elim :args (@t124 @t130))
% 0.37/0.78  (step @p1868 :rule cong :premises (@p1867) :args (@t131))
% 0.37/0.78  (step @p1869 :rule trans :premises (@p1868 @p1866))
% 0.37/0.78  (step @p1870 :rule cong :premises (@p1869 @p301) :args (@t132))
% 0.37/0.78  (step @p1871 :rule refl :args (@t133))
% 0.37/0.78  (step @p1872 :rule cong :premises (@p1871 @p1870) :args (@t134))
% 0.37/0.78  (step @p1873 :rule cong :premises (@p1872) :args (@t136))
% 0.37/0.78  (step @p1874 :rule trans :premises (@p1873 @p1863))
% 0.37/0.78  (step @p1875 :rule aci_norm :args ((= @t1077 @t620)))
% 0.37/0.78  (step @p1876 :rule cong :premises (@p1875) :args (@t1078))
% 0.37/0.78  (step @p1877 :rule quant-merge-prenex :args ((= (forall @t118 @t1080) @t1078)))
% 0.37/0.78  (step @p1878 :rule alpha_equiv :args (@t1081 (@list @t617) @t799))
% 0.37/0.78  (step @p1879 :rule nary_cong :premises (@p1803 @p1878) :args (@t1082))
% 0.37/0.78  (step @p1880 :rule quant-miniscope-or :args ((= @t1080 @t1082)))
% 0.37/0.78  (step @p1881 :rule trans :premises (@p1880 @p1879))
% 0.37/0.78  (step @p1882 :rule symm :premises (@p1881))
% 0.37/0.78  (step @p1883 :rule cong :premises (@p1882) :args ((forall @t118 (or @t608 @t596))))
% 0.37/0.78  (step @p1884 :rule trans :premises (@p1883 @p1877))
% 0.37/0.78  (step @p1885 :rule trans :premises (@p1884 @p1876))
% 0.37/0.78  (step @p1886 :rule refl :args (@t596))
% 0.37/0.78  (step @p1887 :rule nary_cong :premises (@p1818 @p1886) :args (@t1083))
% 0.37/0.78  (step @p1888 :rule cong :premises (@p1887) :args ((forall @t118 @t1083)))
% 0.37/0.78  (step @p1889 :rule trans :premises (@p1888 @p1885))
% 0.37/0.78  (step @p1890 :rule bool-impl-elim :args (@t124 @t596))
% 0.37/0.78  (step @p1891 :rule cong :premises (@p1890) :args ((forall @t118 (=> @t124 @t596))))
% 0.37/0.78  (step @p1892 :rule trans :premises (@p1891 @p1889))
% 0.37/0.78  (step @p1893 :rule refl :args (@t124))
% 0.37/0.78  (step @p1894 :rule cong :premises (@p1893 @p1792) :args (@t137))
% 0.37/0.78  (step @p1895 :rule cong :premises (@p1894) :args (@t138))
% 0.37/0.78  (step @p1896 :rule trans :premises (@p1895 @p1892))
% 0.37/0.78  (step @p1897 :rule nary_cong :premises (@p1896 @p1874 @p1851 @p1796) :args (@t139))
% 0.37/0.78  (step @p1898 :rule cong :premises (@p1897) :args (@t140))
% 0.37/0.78  (step @p1899 :rule trans :premises (@p1898 @p1652))
% 0.37/0.78  (step @p1900 :rule cong :premises (@p1899) :args (@t141))
% 0.37/0.78  (step @p1901 :rule refl :args (tptp.wellorderingAx))
% 0.37/0.78  (step @p1902 :rule cong :premises (@p1901 @p1900) :args (@t142))
% 0.37/0.78  (step @p1903 :rule eq_resolve :premises (@p11 @p1902))
% 0.37/0.78  (step @p1904 :rule cong :premises (@p1903 @p1637) :args (@t1084))
% 0.37/0.78  (step @p1905 :rule quant-merge-prenex :args ((= (forall @t64 @t1086) @t633)))
% 0.37/0.78  (step @p1906 :rule refl :args (@t629))
% 0.37/0.78  (step @p1907 :rule alpha_equiv :args (@t1087 (@list @t630) @t799))
% 0.37/0.78  (step @p1908 :rule nary_cong :premises (@p1907 @p1906) :args (@t1088))
% 0.37/0.78  (step @p1909 :rule quant-miniscope-or :args ((= @t1086 @t1088)))
% 0.37/0.78  (step @p1910 :rule trans :premises (@p1909 @p1908))
% 0.37/0.78  (step @p1911 :rule symm :premises (@p1910))
% 0.37/0.78  (step @p1912 :rule cong :premises (@p1911) :args ((forall @t64 (or @t469 @t629))))
% 0.37/0.78  (step @p1913 :rule trans :premises (@p1912 @p1905))
% 0.37/0.78  (step @p1914 :rule nary_cong :premises (@p1249 @p1906) :args ((or @t921 @t629)))
% 0.37/0.78  (step @p1915 :rule bool-impl-elim :args (@t470 @t629))
% 0.37/0.78  (step @p1916 :rule trans :premises (@p1915 @p1914))
% 0.37/0.78  (step @p1917 :rule cong :premises (@p1916) :args ((forall @t64 (=> @t470 @t629))))
% 0.37/0.78  (step @p1918 :rule trans :premises (@p1917 @p1913))
% 0.37/0.78  (step @p1919 :rule refl :args (@t628))
% 0.37/0.78  (step @p1920 :rule nary_cong :premises (@p949 @p1919) :args (@t1089))
% 0.37/0.78  (step @p1921 :rule cong :premises (@p1920) :args ((forall @t41 @t1089)))
% 0.37/0.78  (step @p1922 :rule bool-and-de-morgan :args (@t39 @t627 true))
% 0.37/0.78  (step @p1923 :rule cong :premises (@p1922) :args (@t1091))
% 0.37/0.78  (step @p1924 :rule trans :premises (@p1923 @p1921))
% 0.37/0.78  (step @p1925 :rule cong :premises (@p1924) :args (@t1092))
% 0.37/0.78  (step @p1926 :rule exists-elim :args ((= (exists @t41 @t1090) @t1092)))
% 0.37/0.78  (step @p1927 :rule trans :premises (@p1926 @p1925))
% 0.37/0.78  (step @p1928 :rule bool-double-not-elim :args (@t627))
% 0.37/0.78  (step @p1929 :rule nary_cong :premises (@p955 @p368) :args (@t1093))
% 0.37/0.78  (step @p1930 :rule cong :premises (@p1929) :args ((forall @t9 @t1093)))
% 0.37/0.78  (step @p1931 :rule bool-and-de-morgan :args (@t6 @t7 true))
% 0.37/0.78  (step @p1932 :rule cong :premises (@p1931) :args (@t1094))
% 0.37/0.78  (step @p1933 :rule trans :premises (@p1932 @p1930))
% 0.37/0.78  (step @p1934 :rule cong :premises (@p1933) :args (@t1095))
% 0.37/0.78  (step @p1935 :rule exists-elim :args ((= @t85 @t1095)))
% 0.37/0.78  (step @p1936 :rule trans :premises (@p1935 @p1934))
% 0.37/0.78  (step @p1937 :rule cong :premises (@p1936) :args (@t86))
% 0.37/0.78  (step @p1938 :rule trans :premises (@p1937 @p1928))
% 0.37/0.78  (step @p1939 :rule refl :args (@t39))
% 0.37/0.78  (step @p1940 :rule nary_cong :premises (@p1939 @p1938) :args (@t87))
% 0.37/0.78  (step @p1941 :rule cong :premises (@p1940) :args (@t88))
% 0.37/0.78  (step @p1942 :rule trans :premises (@p1941 @p1927))
% 0.37/0.78  (step @p1943 :rule cong :premises (@p794 @p1942) :args (@t90))
% 0.37/0.78  (step @p1944 :rule cong :premises (@p1943) :args (@t91))
% 0.37/0.78  (step @p1945 :rule trans :premises (@p1944 @p1918))
% 0.37/0.78  (step @p1946 :rule refl :args (tptp.foundationAx))
% 0.37/0.78  (step @p1947 :rule cong :premises (@p1946 @p1945) :args (@t92))
% 0.37/0.78  (step @p1948 :rule eq_resolve :premises (@p10 @p1947))
% 0.37/0.78  (step @p1949 :rule cong :premises (@p1948 @p1904) :args (@t1096))
% 0.37/0.78  (step @p1950 :rule bool-impl-elim :args (@t646 @t638))
% 0.37/0.78  (step @p1951 :rule cong :premises (@p1950) :args ((forall @t81 (=> @t646 @t638))))
% 0.37/0.78  (step @p1952 :rule exists-elim :args ((= (exists @t41 @t637) @t638)))
% 0.37/0.78  (step @p1953 :rule refl :args (@t636))
% 0.37/0.78  (step @p1954 :rule cong :premises (@p954 @p1953) :args (@t1097))
% 0.37/0.78  (step @p1955 :rule cong :premises (@p1954) :args ((forall @t9 @t1097)))
% 0.37/0.78  (step @p1956 :rule refl :args (@t635))
% 0.37/0.78  (step @p1957 :rule refl :args (@t68))
% 0.37/0.78  (step @p1958 :rule cong :premises (@p1957 @p1956) :args ((= @t68 @t635)))
% 0.37/0.78  (step @p1959 :rule symm :premises (@p1958))
% 0.37/0.78  (step @p1960 :rule eq_resolve :premises (@p1957 @p1959))
% 0.37/0.78  (step @p1961 :rule cong :premises (@p1960) :args (@t1098))
% 0.37/0.78  (step @p1962 :rule nary_cong :premises (@p1190 @p1961) :args (@t1099))
% 0.37/0.78  (step @p1963 :rule cong :premises (@p1962) :args ((forall @t70 @t1099)))
% 0.37/0.78  (step @p1964 :rule bool-and-de-morgan :args (@t21 @t68 true))
% 0.37/0.78  (step @p1965 :rule cong :premises (@p1964) :args (@t1100))
% 0.37/0.78  (step @p1966 :rule trans :premises (@p1965 @p1963))
% 0.37/0.78  (step @p1967 :rule cong :premises (@p1966) :args (@t1101))
% 0.37/0.78  (step @p1968 :rule exists-elim :args ((= @t71 @t1101)))
% 0.37/0.78  (step @p1969 :rule trans :premises (@p1968 @p1967))
% 0.37/0.78  (step @p1970 :rule refl :args (@t6))
% 0.37/0.78  (step @p1971 :rule cong :premises (@p1970 @p1969) :args (@t72))
% 0.37/0.78  (step @p1972 :rule cong :premises (@p1971) :args (@t73))
% 0.37/0.78  (step @p1973 :rule trans :premises (@p1972 @p1955))
% 0.37/0.78  (step @p1974 :rule cong :premises (@p1973) :args (@t74))
% 0.37/0.78  (step @p1975 :rule trans :premises (@p1974 @p1952))
% 0.37/0.78  (step @p1976 :rule refl :args (@t645))
% 0.37/0.78  (step @p1977 :rule nary_cong :premises (@p368 @p1976) :args (@t1102))
% 0.37/0.78  (step @p1978 :rule cong :premises (@p1977) :args ((forall @t9 @t1102)))
% 0.37/0.78  (step @p1979 :rule bool-impl-elim :args (@t7 @t645))
% 0.37/0.78  (step @p1980 :rule cong :premises (@p1979) :args ((forall @t9 (=> @t7 @t645))))
% 0.37/0.78  (step @p1981 :rule trans :premises (@p1980 @p1978))
% 0.37/0.78  (step @p1982 :rule refl :args (@t642))
% 0.37/0.78  (step @p1983 :rule refl :args (@t643))
% 0.37/0.78  (step @p1984 :rule refl :args (@t1103))
% 0.37/0.78  (step @p1985 :rule cong :premises (@p1984 @p1983) :args ((= @t1103 @t643)))
% 0.37/0.78  (step @p1986 :rule symm :premises (@p1985))
% 0.37/0.78  (step @p1987 :rule eq_resolve :premises (@p1984 @p1986))
% 0.37/0.78  (step @p1988 :rule cong :premises (@p1987) :args (@t1104))
% 0.37/0.78  (step @p1989 :rule nary_cong :premises (@p1988 @p1982) :args (@t1105))
% 0.37/0.78  (step @p1990 :rule cong :premises (@p1989) :args ((forall @t644 @t1105)))
% 0.37/0.78  (step @p1991 :rule refl :args (@t640))
% 0.37/0.78  (step @p1992 :rule refl :args (@t641))
% 0.37/0.78  (step @p1993 :rule refl :args (@t76))
% 0.37/0.78  (step @p1994 :rule cong :premises (@p1993 @p1992) :args ((= @t76 @t641)))
% 0.37/0.78  (step @p1995 :rule symm :premises (@p1994))
% 0.37/0.78  (step @p1996 :rule eq_resolve :premises (@p1993 @p1995))
% 0.37/0.78  (step @p1997 :rule cong :premises (@p1996) :args (@t1106))
% 0.37/0.78  (step @p1998 :rule nary_cong :premises (@p1997 @p1991) :args (@t1107))
% 0.37/0.78  (step @p1999 :rule cong :premises (@p1998) :args ((forall @t70 @t1107)))
% 0.37/0.78  (step @p2000 :rule refl :args (@t640))
% 0.37/0.78  (step @p2001 :rule beta-reduce :args ((= @t1108 @t76)))
% 0.37/0.78  (step @p2002 :rule cong :premises (@p2001) :args (@t1109))
% 0.37/0.78  (step @p2003 :rule nary_cong :premises (@p2002 @p2000) :args (@t1110))
% 0.37/0.78  (step @p2004 :rule cong :premises (@p2003) :args (@t1111))
% 0.37/0.78  (step @p2005 :rule trans :premises (@p2004 @p1999))
% 0.37/0.78  (step @p2006 :rule cong :premises (@p2005) :args (@t1112))
% 0.37/0.78  (step @p2007 :rule beta-reduce :args ((= @t1113 @t1103)))
% 0.37/0.78  (step @p2008 :rule cong :premises (@p2007) :args (@t1114))
% 0.37/0.78  (step @p2009 :rule nary_cong :premises (@p2008 @p2006) :args (@t1115))
% 0.37/0.78  (step @p2010 :rule cong :premises (@p2009) :args (@t1116))
% 0.37/0.78  (step @p2011 :rule trans :premises (@p2010 @p1990))
% 0.37/0.78  (step @p2012 :rule cong :premises (@p2011) :args (@t1117))
% 0.37/0.78  (step @p2013 :rule beta-reduce :args ((= (_ (lambda @t150 (not (forall @t644 (or @t1118 (not (forall @t70 (or @t410 @t640))))))) @t77) @t1117)))
% 0.37/0.78  (step @p2014 :rule trans :premises (@p2013 @p2012))
% 0.37/0.78  (step @p2015 :rule refl :args (@t77))
% 0.37/0.78  (step @p2016 :rule eq-symm :args (@t639 @t19))
% 0.37/0.78  (step @p2017 :rule nary_cong :premises (@p813 @p2016) :args (@t1119))
% 0.37/0.78  (step @p2018 :rule cong :premises (@p2017) :args (@t1120))
% 0.37/0.78  (step @p2019 :rule cong :premises (@p2018) :args (@t1121))
% 0.37/0.78  (step @p2020 :rule refl :args (@t1118))
% 0.37/0.78  (step @p2021 :rule nary_cong :premises (@p2020 @p2019) :args (@t1122))
% 0.37/0.78  (step @p2022 :rule cong :premises (@p2021) :args (@t1123))
% 0.37/0.78  (step @p2023 :rule cong :premises (@p2022) :args (@t1124))
% 0.37/0.78  (step @p2024 :rule cong :premises (@p2023) :args ((lambda @t150 @t1124)))
% 0.37/0.78  (step @p2025 :rule ho_cong :premises (@p2024 @p2015))
% 0.37/0.78  (step @p2026 :rule trans :premises (@p2025 @p2014))
% 0.37/0.78  (step @p2027 :rule refl :args (@t77))
% 0.37/0.78  (step @p2028 :rule alpha_equiv :args (@t415 @t799 (@list @t639)))
% 0.37/0.78  (step @p2029 :rule cong :premises (@p2028) :args (@t416))
% 0.37/0.78  (step @p2030 :rule cong :premises (@p2029) :args (@t752))
% 0.37/0.78  (step @p2031 :rule ho_cong :premises (@p2030 @p2027))
% 0.37/0.78  (step @p2032 :rule trans :premises (@p2031 @p2026))
% 0.37/0.78  (step @p2033 :rule cong :premises (@p1305 @p2032) :args (@t1125))
% 0.37/0.78  (step @p2034 :rule cong :premises (@p2033) :args (@t1126))
% 0.37/0.78  (step @p2035 :rule trans :premises (@p2034 @p1981))
% 0.37/0.78  (step @p2036 :rule cong :premises (@p2035 @p1975) :args (@t1127))
% 0.37/0.78  (step @p2037 :rule cong :premises (@p2036) :args (@t1128))
% 0.37/0.78  (step @p2038 :rule trans :premises (@p2037 @p1951))
% 0.37/0.78  (step @p2039 :rule refl :args (tptp.replAx))
% 0.37/0.78  (step @p2040 :rule cong :premises (@p2039 @p2038) :args ((= tptp.replAx @t1128)))
% 0.37/0.78  (step @p2041 :rule refl :args (@t74))
% 0.37/0.78  (step @p2042 :rule ho_cong :premises (@p337 @p2015))
% 0.37/0.78  (step @p2043 :rule cong :premises (@p1305 @p2042) :args (@t78))
% 0.37/0.78  (step @p2044 :rule cong :premises (@p2043) :args (@t79))
% 0.37/0.78  (step @p2045 :rule cong :premises (@p2044 @p2041) :args (@t80))
% 0.37/0.78  (step @p2046 :rule cong :premises (@p2045) :args (@t82))
% 0.37/0.78  (step @p2047 :rule cong :premises (@p2039 @p2046) :args (@t83))
% 0.37/0.78  (step @p2048 :rule trans :premises (@p2047 @p2040))
% 0.37/0.78  (step @p2049 :rule eq_resolve :premises (@p9 @p2048))
% 0.37/0.78  (step @p2050 :rule cong :premises (@p2049 @p1949) :args (@t1129))
% 0.37/0.78  (step @p2051 :rule aci_norm :args ((= @t1131 @t660)))
% 0.37/0.78  (step @p2052 :rule cong :premises (@p2051) :args (@t1132))
% 0.37/0.78  (step @p2053 :rule quant-merge-prenex :args ((= (forall @t64 @t1134) @t1132)))
% 0.37/0.78  (step @p2054 :rule alpha_equiv :args (@t1135 (@list @t649) @t799))
% 0.37/0.78  (step @p2055 :rule refl :args (@t657))
% 0.37/0.78  (step @p2056 :rule refl :args (@t659))
% 0.37/0.78  (step @p2057 :rule nary_cong :premises (@p2056 @p2055 @p2054) :args (@t1136))
% 0.37/0.78  (step @p2058 :rule quant-miniscope-or :args ((= @t1134 @t1136)))
% 0.37/0.78  (step @p2059 :rule trans :premises (@p2058 @p2057))
% 0.37/0.78  (step @p2060 :rule symm :premises (@p2059))
% 0.37/0.78  (step @p2061 :rule cong :premises (@p2060) :args ((forall @t64 (or @t659 @t657 @t1137))))
% 0.37/0.78  (step @p2062 :rule trans :premises (@p2061 @p2053))
% 0.37/0.78  (step @p2063 :rule trans :premises (@p2062 @p2052))
% 0.37/0.78  (step @p2064 :rule refl :args (@t1137))
% 0.37/0.78  (step @p2065 :rule refl :args (@t658))
% 0.37/0.78  (step @p2066 :rule refl :args (@t61))
% 0.37/0.78  (step @p2067 :rule cong :premises (@p2066 @p2065) :args ((= @t61 @t658)))
% 0.37/0.78  (step @p2068 :rule symm :premises (@p2067))
% 0.37/0.78  (step @p2069 :rule eq_resolve :premises (@p2066 @p2068))
% 0.37/0.78  (step @p2070 :rule cong :premises (@p2069) :args (@t1138))
% 0.37/0.78  (step @p2071 :rule nary_cong :premises (@p2070 @p2055 @p2064) :args (@t1139))
% 0.37/0.78  (step @p2072 :rule cong :premises (@p2071) :args ((forall @t64 @t1139)))
% 0.37/0.78  (step @p2073 :rule trans :premises (@p2072 @p2063))
% 0.37/0.78  (step @p2074 :rule aci_norm :args ((= (or (or @t1138 @t657) @t1137) @t1139)))
% 0.37/0.78  (step @p2075 :rule bool-and-de-morgan :args (@t61 @t656 true))
% 0.37/0.78  (step @p2076 :rule nary_cong :premises (@p2075 @p2064) :args ((or (not @t1140) @t1137)))
% 0.37/0.78  (step @p2077 :rule trans :premises (@p2076 @p2074))
% 0.37/0.78  (step @p2078 :rule bool-impl-elim :args (@t1140 @t1137))
% 0.37/0.78  (step @p2079 :rule trans :premises (@p2078 @p2077))
% 0.37/0.78  (step @p2080 :rule cong :premises (@p2079) :args ((forall @t64 (=> @t1140 @t1137))))
% 0.37/0.78  (step @p2081 :rule trans :premises (@p2080 @p2073))
% 0.37/0.78  (step @p2082 :rule refl :args (@t654))
% 0.37/0.78  (step @p2083 :rule refl :args (@t54))
% 0.37/0.78  (step @p2084 :rule cong :premises (@p2083 @p2082) :args ((= @t54 @t654)))
% 0.37/0.78  (step @p2085 :rule symm :premises (@p2084))
% 0.37/0.78  (step @p2086 :rule eq_resolve :premises (@p2083 @p2085))
% 0.37/0.78  (step @p2087 :rule cong :premises (@p2086) :args (@t1141))
% 0.37/0.78  (step @p2088 :rule nary_cong :premises (@p2087 @p367) :args (@t1142))
% 0.37/0.78  (step @p2089 :rule cong :premises (@p2088) :args ((forall @t9 @t1142)))
% 0.37/0.78  (step @p2090 :rule bool-impl-elim :args (@t54 @t7))
% 0.37/0.78  (step @p2091 :rule cong :premises (@p2090) :args (@t57))
% 0.37/0.78  (step @p2092 :rule trans :premises (@p2091 @p2089))
% 0.37/0.78  (step @p2093 :rule refl :args ((tptp.in @t51 @t2)))
% 0.37/0.78  (step @p2094 :rule refl :args (@t652))
% 0.37/0.78  (step @p2095 :rule cong :premises (@p2094 @p579) :args (@t653))
% 0.37/0.78  (step @p2096 :rule trans :premises (@p2095 @p2093))
% 0.37/0.78  (step @p2097 :rule refl :args (tptp.in))
% 0.37/0.78  (step @p2098 :rule ho_cong :premises (@p2097 @p2094))
% 0.37/0.78  (step @p2099 :rule ho_cong :premises (@p2098 @p579))
% 0.37/0.78  (step @p2100 :rule cong :premises (@p2099 @p2096) :args ((= (_ @t1143 @t2) @t653)))
% 0.37/0.78  (step @p2101 :rule symm :premises (@p2100))
% 0.37/0.78  (step @p2102 :rule refl :args (@t58))
% 0.37/0.78  (step @p2103 :rule eq_resolve :premises (@p2102 @p2101))
% 0.37/0.78  (step @p2104 :rule refl :args (@t51))
% 0.37/0.78  (step @p2105 :rule cong :premises (@p2104 @p2094) :args ((= @t51 @t652)))
% 0.37/0.78  (step @p2106 :rule symm :premises (@p2105))
% 0.37/0.78  (step @p2107 :rule eq_resolve :premises (@p2104 @p2106))
% 0.37/0.78  (step @p2108 :rule ho_cong :premises (@p2097 @p2107))
% 0.37/0.78  (step @p2109 :rule ho_cong :premises (@p2108 @p579))
% 0.37/0.78  (step @p2110 :rule trans :premises (@p2109 @p2103))
% 0.37/0.78  (step @p2111 :rule nary_cong :premises (@p2087 @p368 @p2110) :args (@t1144))
% 0.37/0.78  (step @p2112 :rule cong :premises (@p2111) :args ((forall @t9 @t1144)))
% 0.37/0.78  (step @p2113 :rule aci_norm :args ((= (or (or @t1141 @t196) @t58) @t1144)))
% 0.37/0.78  (step @p2114 :rule bool-and-de-morgan :args (@t54 @t7 true))
% 0.37/0.78  (step @p2115 :rule nary_cong :premises (@p2114 @p2102) :args ((or (not @t59) @t58)))
% 0.37/0.78  (step @p2116 :rule trans :premises (@p2115 @p2113))
% 0.37/0.78  (step @p2117 :rule bool-impl-elim :args (@t59 @t58))
% 0.37/0.78  (step @p2118 :rule trans :premises (@p2117 @p2116))
% 0.37/0.78  (step @p2119 :rule cong :premises (@p2118) :args (@t60))
% 0.37/0.78  (step @p2120 :rule trans :premises (@p2119 @p2112))
% 0.37/0.78  (step @p2121 :rule refl :args (@t61))
% 0.37/0.78  (step @p2122 :rule nary_cong :premises (@p2121 @p2120) :args (@t62))
% 0.37/0.78  (step @p2123 :rule cong :premises (@p2122 @p2092) :args (@t63))
% 0.37/0.78  (step @p2124 :rule cong :premises (@p2123) :args (@t65))
% 0.37/0.78  (step @p2125 :rule trans :premises (@p2124 @p2081))
% 0.37/0.78  (step @p2126 :rule refl :args (tptp.omegaIndAx))
% 0.37/0.78  (step @p2127 :rule cong :premises (@p2126 @p2125) :args (@t66))
% 0.37/0.78  (step @p2128 :rule eq_resolve :premises (@p8 @p2127))
% 0.37/0.78  (step @p2129 :rule cong :premises (@p2128 @p2050) :args (@t1145))
% 0.37/0.78  (step @p2130 :rule refl :args ((tptp.in @t51 tptp.omega)))
% 0.37/0.78  (step @p2131 :rule refl :args (tptp.omega))
% 0.37/0.78  (step @p2132 :rule cong :premises (@p2094 @p2131) :args (@t664))
% 0.37/0.78  (step @p2133 :rule trans :premises (@p2132 @p2130))
% 0.37/0.78  (step @p2134 :rule ho_cong :premises (@p2098 @p2131))
% 0.37/0.78  (step @p2135 :rule cong :premises (@p2134 @p2133) :args ((= (_ @t1143 tptp.omega) @t664)))
% 0.37/0.78  (step @p2136 :rule symm :premises (@p2135))
% 0.37/0.78  (step @p2137 :rule refl :args (@t53))
% 0.37/0.78  (step @p2138 :rule eq_resolve :premises (@p2137 @p2136))
% 0.37/0.78  (step @p2139 :rule ho_cong :premises (@p2108 @p2131))
% 0.37/0.78  (step @p2140 :rule trans :premises (@p2139 @p2138))
% 0.37/0.78  (step @p2141 :rule nary_cong :premises (@p2087 @p2140) :args (@t1146))
% 0.37/0.78  (step @p2142 :rule cong :premises (@p2141) :args ((forall @t9 @t1146)))
% 0.37/0.78  (step @p2143 :rule bool-impl-elim :args (@t54 @t53))
% 0.37/0.78  (step @p2144 :rule cong :premises (@p2143) :args (@t55))
% 0.37/0.78  (step @p2145 :rule trans :premises (@p2144 @p2142))
% 0.37/0.78  (step @p2146 :rule refl :args (tptp.omegaSAx))
% 0.37/0.78  (step @p2147 :rule cong :premises (@p2146 @p2145) :args (@t56))
% 0.37/0.78  (step @p2148 :rule eq_resolve :premises (@p7 @p2147))
% 0.37/0.78  (step @p2149 :rule cong :premises (@p2148 @p2129) :args (@t1147))
% 0.37/0.78  (step @p2150 :rule cong :premises (@p6 @p2149) :args (@t1148))
% 0.37/0.78  (step @p2151 :rule eq-symm :args (@t491 @t490))
% 0.37/0.78  (step @p2152 :rule cong :premises (@p2151) :args ((forall @t46 (= @t491 @t490))))
% 0.37/0.78  (step @p2153 :rule cong :premises (@p908 @p898) :args (@t1149))
% 0.37/0.78  (step @p2154 :rule cong :premises (@p2153) :args ((forall @t46 @t1149)))
% 0.37/0.78  (step @p2155 :rule trans :premises (@p2154 @p2152))
% 0.37/0.78  (step @p2156 :rule bool-and-de-morgan :args (@t6 @t39 true))
% 0.37/0.78  (step @p2157 :rule cong :premises (@p2156) :args (@t1150))
% 0.37/0.78  (step @p2158 :rule trans :premises (@p2157 @p957))
% 0.37/0.78  (step @p2159 :rule cong :premises (@p2158) :args (@t1151))
% 0.37/0.78  (step @p2160 :rule exists-elim :args ((= @t42 @t1151)))
% 0.37/0.78  (step @p2161 :rule trans :premises (@p2160 @p2159))
% 0.37/0.78  (step @p2162 :rule cong :premises (@p976 @p2161) :args (@t45))
% 0.37/0.78  (step @p2163 :rule cong :premises (@p2162) :args (@t47))
% 0.37/0.78  (step @p2164 :rule trans :premises (@p2163 @p2155))
% 0.37/0.78  (step @p2165 :rule refl :args (tptp.setunionAx))
% 0.37/0.78  (step @p2166 :rule cong :premises (@p2165 @p2164) :args (@t48))
% 0.37/0.78  (step @p2167 :rule eq_resolve :premises (@p5 @p2166))
% 0.37/0.78  (step @p2168 :rule cong :premises (@p2167 @p2150) :args (@t1152))
% 0.37/0.78  (step @p2169 :rule eq-symm :args (@t497 @t504))
% 0.37/0.78  (step @p2170 :rule cong :premises (@p2169) :args ((forall @t12 (= @t497 @t504))))
% 0.37/0.78  (step @p2171 :rule refl :args (@t504))
% 0.37/0.78  (step @p2172 :rule cong :premises (@p1014 @p2171) :args (@t1153))
% 0.37/0.78  (step @p2173 :rule cong :premises (@p2172) :args ((forall @t12 @t1153)))
% 0.37/0.78  (step @p2174 :rule trans :premises (@p2173 @p2170))
% 0.37/0.78  (step @p2175 :rule cong :premises (@p1060 @p1064) :args (@t36))
% 0.37/0.78  (step @p2176 :rule cong :premises (@p2175) :args (@t37))
% 0.37/0.78  (step @p2177 :rule trans :premises (@p2176 @p2174))
% 0.37/0.78  (step @p2178 :rule refl :args (tptp.powersetAx))
% 0.37/0.78  (step @p2179 :rule cong :premises (@p2178 @p2177) :args (@t38))
% 0.37/0.78  (step @p2180 :rule eq_resolve :premises (@p4 @p2179))
% 0.37/0.78  (step @p2181 :rule cong :premises (@p2180 @p2168) :args (@t1154))
% 0.37/0.78  (step @p2182 :rule nary_cong :premises (@p292 @p1101) :args (@t889))
% 0.37/0.78  (step @p2183 :rule cong :premises (@p1116 @p2182) :args (@t1155))
% 0.37/0.78  (step @p2184 :rule cong :premises (@p2183) :args ((forall @t28 @t1155)))
% 0.37/0.78  (step @p2185 :rule cong :premises (@p1127 @p1126) :args (@t27))
% 0.37/0.78  (step @p2186 :rule cong :premises (@p2185) :args (@t29))
% 0.37/0.78  (step @p2187 :rule trans :premises (@p2186 @p2184))
% 0.37/0.78  (step @p2188 :rule refl :args (tptp.setadjoinAx))
% 0.37/0.78  (step @p2189 :rule cong :premises (@p2188 @p2187) :args (@t30))
% 0.37/0.78  (step @p2190 :rule eq_resolve :premises (@p3 @p2189))
% 0.37/0.78  (step @p2191 :rule cong :premises (@p2190 @p2181) :args (@t1156))
% 0.37/0.78  (step @p2192 :rule refl :args (tptp.emptysetAx))
% 0.37/0.78  (step @p2193 :rule cong :premises (@p2192 @p1445) :args (@t18))
% 0.37/0.78  (step @p2194 :rule eq_resolve :premises (@p2 @p2193))
% 0.37/0.78  (step @p2195 :rule cong :premises (@p2194 @p2191) :args (@t1157))
% 0.37/0.78  (step @p2196 :rule bool-impl-elim :args (@t677 @t3))
% 0.37/0.78  (step @p2197 :rule cong :premises (@p2196) :args ((forall @t12 (=> @t677 @t3))))
% 0.37/0.78  (step @p2198 :rule cong :premises (@p367 @p954) :args (@t8))
% 0.37/0.78  (step @p2199 :rule cong :premises (@p2198) :args (@t10))
% 0.37/0.78  (step @p2200 :rule cong :premises (@p2199 @p1388) :args (@t11))
% 0.37/0.78  (step @p2201 :rule cong :premises (@p2200) :args (@t13))
% 0.37/0.78  (step @p2202 :rule trans :premises (@p2201 @p2197))
% 0.37/0.78  (step @p2203 :rule refl :args (tptp.setextAx))
% 0.37/0.78  (step @p2204 :rule cong :premises (@p2203 @p2202) :args (@t14))
% 0.37/0.78  (step @p2205 :rule eq_resolve :premises (@p1 @p2204))
% 0.37/0.78  (step @p2206 :rule cong :premises (@p2205 @p2195) :args (@t1158))
% 0.37/0.78  (step @p2207 :rule cong :premises (@p2206) :args ((not @t1158)))
% 0.37/0.78  (step @p2208 :rule trans :premises (@p2207 @p270))
% 0.37/0.78  (step @p2209 :rule quant-merge-prenex :args ((= (forall @t150 @t1160) @t422)))
% 0.37/0.78  (step @p2210 :rule refl :args (@t418))
% 0.37/0.78  (step @p2211 :rule alpha_equiv :args (@t1161 (@list @t419) @t799))
% 0.37/0.78  (step @p2212 :rule nary_cong :premises (@p2211 @p2210 @p275) :args (@t1162))
% 0.37/0.78  (step @p2213 :rule quant-miniscope-or :args ((= @t1160 @t1162)))
% 0.37/0.78  (step @p2214 :rule trans :premises (@p2213 @p2212))
% 0.37/0.78  (step @p2215 :rule symm :premises (@p2214))
% 0.37/0.78  (step @p2216 :rule cong :premises (@p2215) :args ((forall @t150 @t1163)))
% 0.37/0.78  (step @p2217 :rule trans :premises (@p2216 @p2209))
% 0.37/0.78  (step @p2218 :rule aci_norm :args ((= (or @t550 (or @t418 @t416)) @t1163)))
% 0.37/0.78  (step @p2219 :rule bool-impl-elim :args (@t417 @t416))
% 0.37/0.78  (step @p2220 :rule refl :args (@t550))
% 0.37/0.78  (step @p2221 :rule nary_cong :premises (@p2220 @p2219) :args ((or @t550 @t1164)))
% 0.37/0.78  (step @p2222 :rule trans :premises (@p2221 @p2218))
% 0.37/0.78  (step @p2223 :rule refl :args (@t1164))
% 0.37/0.78  (step @p2224 :rule bool-double-not-elim :args (@t550))
% 0.37/0.78  (step @p2225 :rule nary_cong :premises (@p2224 @p2223) :args ((or (not @t551) @t1164)))
% 0.37/0.78  (step @p2226 :rule bool-impl-elim :args (@t551 @t1164))
% 0.37/0.78  (step @p2227 :rule trans :premises (@p2226 @p2225))
% 0.37/0.78  (step @p2228 :rule trans :premises (@p2227 @p2222))
% 0.37/0.78  (step @p2229 :rule cong :premises (@p2228) :args ((forall @t150 (=> @t551 @t1164))))
% 0.37/0.78  (step @p2230 :rule trans :premises (@p2229 @p2217))
% 0.37/0.78  (step @p2231 :rule nary_cong :premises (@p289 @p298 @p292) :args (@t1165))
% 0.37/0.78  (step @p2232 :rule cong :premises (@p2231) :args ((forall @t135 @t1165)))
% 0.37/0.78  (step @p2233 :rule aci_norm :args ((= (or @t313 @t741) @t1165)))
% 0.37/0.78  (step @p2234 :rule refl :args (@t313))
% 0.37/0.78  (step @p2235 :rule nary_cong :premises (@p2234 @p322) :args ((or @t313 @t166)))
% 0.37/0.78  (step @p2236 :rule trans :premises (@p2235 @p2233))
% 0.37/0.78  (step @p2237 :rule bool-impl-elim :args (@t144 @t166))
% 0.37/0.78  (step @p2238 :rule trans :premises (@p2237 @p2236))
% 0.37/0.78  (step @p2239 :rule cong :premises (@p2238) :args (@t341))
% 0.37/0.78  (step @p2240 :rule trans :premises (@p2239 @p2232))
% 0.37/0.78  (step @p2241 :rule cong :premises (@p2240 @p315) :args (@t1166))
% 0.37/0.78  (step @p2242 :rule cong :premises (@p1430 @p2241) :args (@t1167))
% 0.37/0.78  (step @p2243 :rule cong :premises (@p2242) :args (@t1168))
% 0.37/0.78  (step @p2244 :rule trans :premises (@p2243 @p2230))
% 0.37/0.78  (step @p2245 :rule cong :premises (@p332 @p2244) :args (@t1169))
% 0.37/0.78  (step @p2246 :rule cong :premises (@p352 @p2245) :args (@t1170))
% 0.37/0.78  (step @p2247 :rule cong :premises (@p400 @p2246) :args (@t1171))
% 0.37/0.78  (step @p2248 :rule cong :premises (@p468 @p2247) :args (@t1172))
% 0.37/0.78  (step @p2249 :rule cong :premises (@p499 @p2248) :args (@t1173))
% 0.37/0.78  (step @p2250 :rule cong :premises (@p508 @p2249) :args (@t1174))
% 0.37/0.78  (step @p2251 :rule cong :premises (@p516 @p2250) :args (@t1175))
% 0.37/0.78  (step @p2252 :rule cong :premises (@p527 @p2251) :args (@t1176))
% 0.37/0.78  (step @p2253 :rule cong :premises (@p535 @p2252) :args (@t1177))
% 0.37/0.78  (step @p2254 :rule cong :premises (@p552 @p2253) :args (@t1178))
% 0.37/0.78  (step @p2255 :rule cong :premises (@p611 @p2254) :args (@t1179))
% 0.37/0.78  (step @p2256 :rule cong :premises (@p645 @p2255) :args (@t1180))
% 0.37/0.78  (step @p2257 :rule cong :premises (@p661 @p2256) :args (@t1181))
% 0.37/0.78  (step @p2258 :rule cong :premises (@p694 @p2257) :args (@t1182))
% 0.37/0.78  (step @p2259 :rule cong :premises (@p729 @p2258) :args (@t1183))
% 0.37/0.78  (step @p2260 :rule cong :premises (@p758 @p2259) :args (@t1184))
% 0.37/0.78  (step @p2261 :rule cong :premises (@p772 @p2260) :args (@t1185))
% 0.37/0.78  (step @p2262 :rule cong :premises (@p781 @p2261) :args (@t1186))
% 0.37/0.78  (step @p2263 :rule cong :premises (@p802 @p2262) :args (@t1187))
% 0.37/0.78  (step @p2264 :rule cong :premises (@p854 @p2263) :args (@t1188))
% 0.37/0.78  (step @p2265 :rule cong :premises (@p894 @p2264) :args (@t1189))
% 0.37/0.78  (step @p2266 :rule cong :premises (@p980 @p2265) :args (@t1190))
% 0.37/0.78  (step @p2267 :rule cong :premises (@p994 @p2266) :args (@t1191))
% 0.37/0.78  (step @p2268 :rule cong :premises (@p1027 @p2267) :args (@t1192))
% 0.37/0.78  (step @p2269 :rule cong :premises (@p1032 @p2268) :args (@t1193))
% 0.37/0.78  (step @p2270 :rule cong :premises (@p1050 @p2269) :args (@t1194))
% 0.37/0.78  (step @p2271 :rule cong :premises (@p1068 @p2270) :args (@t1195))
% 0.37/0.78  (step @p2272 :rule cong :premises (@p1093 @p2271) :args (@t1196))
% 0.37/0.78  (step @p2273 :rule cong :premises (@p1131 @p2272) :args (@t1197))
% 0.37/0.78  (step @p2274 :rule cong :premises (@p1186 @p2273) :args (@t1198))
% 0.37/0.78  (step @p2275 :rule cong :premises (@p1196 @p2274) :args (@t1199))
% 0.37/0.78  (step @p2276 :rule refl :args (tptp.emptyinunitempty))
% 0.37/0.78  (step @p2277 :rule cong :premises (@p2276 @p2275) :args (@t1200))
% 0.37/0.78  (step @p2278 :rule cong :premises (@p1217 @p2277) :args (@t1201))
% 0.37/0.78  (step @p2279 :rule cong :premises (@p1258 @p2278) :args (@t1202))
% 0.37/0.78  (step @p2280 :rule cong :premises (@p1309 @p2279) :args (@t1203))
% 0.37/0.78  (step @p2281 :rule cong :premises (@p1323 @p2280) :args (@t1204))
% 0.37/0.78  (step @p2282 :rule cong :premises (@p1358 @p2281) :args (@t1205))
% 0.37/0.78  (step @p2283 :rule cong :premises (@p1363 @p2282) :args (@t1206))
% 0.37/0.78  (step @p2284 :rule cong :premises (@p1376 @p2283) :args (@t1207))
% 0.37/0.78  (step @p2285 :rule cong :premises (@p1398 @p2284) :args (@t1208))
% 0.37/0.78  (step @p2286 :rule cong :premises (@p1434 @p2285) :args (@t1209))
% 0.37/0.78  (step @p2287 :rule cong :premises (@p1444 @p2286) :args (@t1210))
% 0.37/0.78  (step @p2288 :rule cong :premises (@p1455 @p2287) :args (@t1211))
% 0.37/0.78  (step @p2289 :rule cong :premises (@p1470 @p2288) :args (@t1212))
% 0.37/0.78  (step @p2290 :rule cong :premises (@p1506 @p2289) :args (@t1213))
% 0.37/0.78  (step @p2291 :rule cong :premises (@p1515 @p2290) :args (@t1214))
% 0.37/0.78  (step @p2292 :rule cong :premises (@p1535 @p2291) :args (@t1215))
% 0.37/0.78  (step @p2293 :rule cong :premises (@p1548 @p2292) :args (@t1216))
% 0.37/0.78  (step @p2294 :rule cong :premises (@p1565 @p2293) :args (@t1217))
% 0.37/0.78  (step @p2295 :rule cong :premises (@p1630 @p2294) :args (@t1218))
% 0.37/0.78  (step @p2296 :rule cong :premises (@p1901 @p2295) :args (@t1219))
% 0.37/0.78  (step @p2297 :rule cong :premises (@p1946 @p2296) :args (@t1220))
% 0.37/0.78  (step @p2298 :rule cong :premises (@p2039 @p2297) :args (@t1221))
% 0.37/0.78  (step @p2299 :rule cong :premises (@p2126 @p2298) :args (@t1222))
% 0.37/0.78  (step @p2300 :rule cong :premises (@p2146 @p2299) :args (@t1223))
% 0.37/0.78  (step @p2301 :rule refl :args (tptp.omega0Ax))
% 0.37/0.78  (step @p2302 :rule cong :premises (@p2301 @p2300) :args (@t1224))
% 0.37/0.78  (step @p2303 :rule cong :premises (@p2165 @p2302) :args (@t1225))
% 0.37/0.78  (step @p2304 :rule cong :premises (@p2178 @p2303) :args (@t1226))
% 0.37/0.78  (step @p2305 :rule cong :premises (@p2188 @p2304) :args (@t1227))
% 0.37/0.78  (step @p2306 :rule cong :premises (@p2192 @p2305) :args (@t1228))
% 0.37/0.78  (step @p2307 :rule cong :premises (@p2203 @p2306) :args (@t1229))
% 0.37/0.78  (step @p2308 :rule cong :premises (@p2307) :args ((not @t1229)))
% 0.37/0.78  (step @p2309 :rule refl :args (@t341))
% 0.37/0.78  (step @p2310 :rule cong :premises (@p2309 @p338) :args (@t342))
% 0.37/0.78  (step @p2311 :rule cong :premises (@p1436 @p2310) :args (@t343))
% 0.37/0.78  (step @p2312 :rule cong :premises (@p2311) :args (@t344))
% 0.37/0.78  (step @p2313 :rule cong :premises (@p332 @p2312) :args (@t345))
% 0.37/0.78  (step @p2314 :rule cong :premises (@p352 @p2313) :args (@t346))
% 0.37/0.78  (step @p2315 :rule cong :premises (@p400 @p2314) :args (@t347))
% 0.37/0.78  (step @p2316 :rule cong :premises (@p468 @p2315) :args (@t348))
% 0.37/0.78  (step @p2317 :rule cong :premises (@p499 @p2316) :args (@t349))
% 0.37/0.78  (step @p2318 :rule cong :premises (@p508 @p2317) :args (@t350))
% 0.37/0.78  (step @p2319 :rule cong :premises (@p516 @p2318) :args (@t351))
% 0.37/0.78  (step @p2320 :rule cong :premises (@p527 @p2319) :args (@t352))
% 0.37/0.78  (step @p2321 :rule cong :premises (@p535 @p2320) :args (@t353))
% 0.37/0.78  (step @p2322 :rule cong :premises (@p552 @p2321) :args (@t354))
% 0.37/0.78  (step @p2323 :rule cong :premises (@p611 @p2322) :args (@t355))
% 0.37/0.78  (step @p2324 :rule cong :premises (@p645 @p2323) :args (@t356))
% 0.37/0.78  (step @p2325 :rule cong :premises (@p661 @p2324) :args (@t357))
% 0.37/0.78  (step @p2326 :rule cong :premises (@p694 @p2325) :args (@t358))
% 0.37/0.78  (step @p2327 :rule cong :premises (@p729 @p2326) :args (@t359))
% 0.37/0.78  (step @p2328 :rule cong :premises (@p758 @p2327) :args (@t360))
% 0.37/0.78  (step @p2329 :rule cong :premises (@p772 @p2328) :args (@t361))
% 0.37/0.78  (step @p2330 :rule cong :premises (@p781 @p2329) :args (@t362))
% 0.37/0.78  (step @p2331 :rule cong :premises (@p802 @p2330) :args (@t363))
% 0.37/0.78  (step @p2332 :rule cong :premises (@p854 @p2331) :args (@t364))
% 0.37/0.78  (step @p2333 :rule cong :premises (@p894 @p2332) :args (@t365))
% 0.37/0.78  (step @p2334 :rule cong :premises (@p980 @p2333) :args (@t366))
% 0.37/0.78  (step @p2335 :rule cong :premises (@p994 @p2334) :args (@t367))
% 0.37/0.78  (step @p2336 :rule cong :premises (@p1027 @p2335) :args (@t368))
% 0.37/0.78  (step @p2337 :rule cong :premises (@p1032 @p2336) :args (@t369))
% 0.37/0.78  (step @p2338 :rule cong :premises (@p1050 @p2337) :args (@t370))
% 0.37/0.78  (step @p2339 :rule cong :premises (@p1068 @p2338) :args (@t371))
% 0.37/0.78  (step @p2340 :rule cong :premises (@p1093 @p2339) :args (@t372))
% 0.37/0.78  (step @p2341 :rule cong :premises (@p1131 @p2340) :args (@t373))
% 0.37/0.78  (step @p2342 :rule cong :premises (@p1186 @p2341) :args (@t374))
% 0.37/0.78  (step @p2343 :rule cong :premises (@p1196 @p2342) :args (@t375))
% 0.37/0.78  (step @p2344 :rule cong :premises (@p2276 @p2343) :args (@t376))
% 0.37/0.78  (step @p2345 :rule cong :premises (@p1217 @p2344) :args (@t377))
% 0.37/0.78  (step @p2346 :rule cong :premises (@p1258 @p2345) :args (@t378))
% 0.37/0.78  (step @p2347 :rule cong :premises (@p1309 @p2346) :args (@t379))
% 0.37/0.78  (step @p2348 :rule cong :premises (@p1323 @p2347) :args (@t380))
% 0.37/0.78  (step @p2349 :rule cong :premises (@p1358 @p2348) :args (@t381))
% 0.37/0.78  (step @p2350 :rule cong :premises (@p1363 @p2349) :args (@t382))
% 0.37/0.78  (step @p2351 :rule cong :premises (@p1376 @p2350) :args (@t383))
% 0.37/0.78  (step @p2352 :rule cong :premises (@p1398 @p2351) :args (@t384))
% 0.37/0.78  (step @p2353 :rule cong :premises (@p1434 @p2352) :args (@t385))
% 0.37/0.78  (step @p2354 :rule cong :premises (@p1444 @p2353) :args (@t386))
% 0.37/0.78  (step @p2355 :rule cong :premises (@p1455 @p2354) :args (@t387))
% 0.37/0.78  (step @p2356 :rule cong :premises (@p1470 @p2355) :args (@t388))
% 0.37/0.78  (step @p2357 :rule cong :premises (@p1506 @p2356) :args (@t389))
% 0.37/0.78  (step @p2358 :rule cong :premises (@p1515 @p2357) :args (@t390))
% 0.37/0.78  (step @p2359 :rule cong :premises (@p1535 @p2358) :args (@t391))
% 0.37/0.78  (step @p2360 :rule cong :premises (@p1548 @p2359) :args (@t392))
% 0.37/0.78  (step @p2361 :rule cong :premises (@p1565 @p2360) :args (@t393))
% 0.37/0.78  (step @p2362 :rule cong :premises (@p1630 @p2361) :args (@t394))
% 0.37/0.78  (step @p2363 :rule cong :premises (@p1901 @p2362) :args (@t395))
% 0.37/0.78  (step @p2364 :rule cong :premises (@p1946 @p2363) :args (@t396))
% 0.37/0.78  (step @p2365 :rule cong :premises (@p2039 @p2364) :args (@t397))
% 0.37/0.78  (step @p2366 :rule cong :premises (@p2126 @p2365) :args (@t398))
% 0.37/0.78  (step @p2367 :rule cong :premises (@p2146 @p2366) :args (@t399))
% 0.37/0.78  (step @p2368 :rule cong :premises (@p2301 @p2367) :args (@t400))
% 0.37/0.78  (step @p2369 :rule cong :premises (@p2165 @p2368) :args (@t401))
% 0.37/0.78  (step @p2370 :rule cong :premises (@p2178 @p2369) :args (@t402))
% 0.37/0.78  (step @p2371 :rule cong :premises (@p2188 @p2370) :args (@t403))
% 0.37/0.78  (step @p2372 :rule cong :premises (@p2192 @p2371) :args (@t404))
% 0.37/0.78  (step @p2373 :rule cong :premises (@p2203 @p2372) :args (@t405))
% 0.37/0.78  (step @p2374 :rule cong :premises (@p2373) :args (@t406))
% 0.37/0.78  (step @p2375 :rule trans :premises (@p2374 @p2308))
% 0.37/0.78  (step @p2376 :rule trans :premises (@p2375 @p2208 @p191))
% 0.37/0.78  (step @p2377 :rule eq_resolve :premises (@p62 @p2376))
% 0.37/0.78  (step @p2378 :rule not_implies_elim2 :premises (@p2377))
% 0.37/0.78  (step @p2379 :rule not_implies_elim2 :premises (@p2378))
% 0.37/0.78  (step @p2380 :rule not_implies_elim2 :premises (@p2379))
% 0.37/0.78  (step @p2381 :rule not_implies_elim2 :premises (@p2380))
% 0.37/0.78  (step @p2382 :rule not_implies_elim2 :premises (@p2381))
% 0.37/0.78  (step @p2383 :rule not_implies_elim2 :premises (@p2382))
% 0.37/0.78  (step @p2384 :rule not_implies_elim2 :premises (@p2383))
% 0.37/0.78  (step @p2385 :rule not_implies_elim2 :premises (@p2384))
% 0.37/0.78  (step @p2386 :rule not_implies_elim2 :premises (@p2385))
% 0.37/0.78  (step @p2387 :rule not_implies_elim2 :premises (@p2386))
% 0.37/0.78  (step @p2388 :rule not_implies_elim2 :premises (@p2387))
% 0.37/0.78  (step @p2389 :rule not_implies_elim2 :premises (@p2388))
% 0.37/0.78  (step @p2390 :rule not_implies_elim2 :premises (@p2389))
% 0.37/0.78  (step @p2391 :rule not_implies_elim2 :premises (@p2390))
% 0.37/0.78  (step @p2392 :rule not_implies_elim2 :premises (@p2391))
% 0.37/0.78  (step @p2393 :rule not_implies_elim2 :premises (@p2392))
% 0.37/0.78  (step @p2394 :rule not_implies_elim2 :premises (@p2393))
% 0.37/0.78  (step @p2395 :rule not_implies_elim2 :premises (@p2394))
% 0.37/0.78  (step @p2396 :rule not_implies_elim2 :premises (@p2395))
% 0.37/0.78  (step @p2397 :rule not_implies_elim2 :premises (@p2396))
% 0.37/0.78  (step @p2398 :rule not_implies_elim2 :premises (@p2397))
% 0.37/0.78  (step @p2399 :rule not_implies_elim2 :premises (@p2398))
% 0.37/0.78  (step @p2400 :rule not_implies_elim2 :premises (@p2399))
% 0.37/0.78  (step @p2401 :rule not_implies_elim2 :premises (@p2400))
% 0.37/0.78  (step @p2402 :rule not_implies_elim2 :premises (@p2401))
% 0.37/0.78  (step @p2403 :rule not_implies_elim2 :premises (@p2402))
% 0.37/0.78  (step @p2404 :rule not_implies_elim2 :premises (@p2403))
% 0.37/0.78  (step @p2405 :rule not_implies_elim2 :premises (@p2404))
% 0.37/0.78  (step @p2406 :rule not_implies_elim2 :premises (@p2405))
% 0.37/0.78  (step @p2407 :rule not_implies_elim2 :premises (@p2406))
% 0.37/0.78  (step @p2408 :rule not_implies_elim2 :premises (@p2407))
% 0.37/0.78  (step @p2409 :rule not_implies_elim2 :premises (@p2408))
% 0.37/0.78  (step @p2410 :rule not_implies_elim2 :premises (@p2409))
% 0.37/0.78  (step @p2411 :rule not_implies_elim2 :premises (@p2410))
% 0.37/0.78  (step @p2412 :rule not_implies_elim2 :premises (@p2411))
% 0.37/0.78  (step @p2413 :rule not_implies_elim2 :premises (@p2412))
% 0.37/0.78  (step @p2414 :rule not_implies_elim2 :premises (@p2413))
% 0.37/0.78  (step @p2415 :rule not_implies_elim2 :premises (@p2414))
% 0.37/0.78  (step @p2416 :rule not_implies_elim2 :premises (@p2415))
% 0.37/0.78  (step @p2417 :rule not_implies_elim2 :premises (@p2416))
% 0.37/0.78  (step @p2418 :rule not_implies_elim2 :premises (@p2417))
% 0.37/0.78  (step @p2419 :rule not_implies_elim2 :premises (@p2418))
% 0.37/0.78  (step @p2420 :rule not_implies_elim2 :premises (@p2419))
% 0.37/0.78  (step @p2421 :rule not_implies_elim2 :premises (@p2420))
% 0.37/0.78  (step @p2422 :rule not_implies_elim2 :premises (@p2421))
% 0.37/0.78  (step @p2423 :rule not_implies_elim2 :premises (@p2422))
% 0.37/0.78  (step @p2424 :rule not_implies_elim2 :premises (@p2423))
% 0.37/0.78  (step @p2425 :rule not_implies_elim2 :premises (@p2424))
% 0.37/0.78  (step @p2426 :rule not_implies_elim2 :premises (@p2425))
% 0.37/0.78  (step @p2427 :rule not_implies_elim2 :premises (@p2426))
% 0.37/0.78  (step @p2428 :rule not_implies_elim2 :premises (@p2427))
% 0.37/0.78  (step @p2429 :rule not_implies_elim2 :premises (@p2428))
% 0.37/0.78  (step @p2430 :rule not_implies_elim2 :premises (@p2429))
% 0.37/0.78  (step @p2431 :rule skolemize :premises (@p2430))
% 0.37/0.78  (step @p2432 :rule bool-double-not-elim :args (@t1233))
% 0.37/0.78  (step @p2433 :rule refl :args (@t1240))
% 0.37/0.78  (step @p2434 :rule nary_cong :premises (@p2433 @p2432) :args ((or @t1240 (not @t1236))))
% 0.37/0.78  (step @p2435 :rule cnf_or_neg :args (@t1240 1))
% 0.37/0.78  (step @p2436 :rule eq_resolve :premises (@p2435 @p2434))
% 0.37/0.78  (step @p2437 :rule reordering :premises (@p2436) :args ((or @t1233 @t1240)))
% 0.37/0.78  (step @p2438 :rule chain_m_resolution :premises (@p2437 @p2431) :args (@t1233 @t1241 @t1242))
% 0.37/0.78  (step @p2439 :rule bool-double-not-elim :args (@t1234))
% 0.37/0.78  (step @p2440 :rule nary_cong :premises (@p2433 @p2439) :args ((or @t1240 (not @t1235))))
% 0.37/0.78  (step @p2441 :rule cnf_or_neg :args (@t1240 2))
% 0.37/0.78  (step @p2442 :rule eq_resolve :premises (@p2441 @p2440))
% 0.37/0.78  (step @p2443 :rule reordering :premises (@p2442) :args ((or @t1234 @t1240)))
% 0.37/0.78  (step @p2444 :rule chain_m_resolution :premises (@p2443 @p2431) :args (@t1234 @t1241 @t1242))
% 0.37/0.78  (step @p2445 :rule eq-symm :args (@t1237 @t19))
% 0.37/0.78  (step @p2446 :rule refl :args (@t1231))
% 0.37/0.78  (step @p2447 :rule nary_cong :premises (@p2446 @p2445) :args (@t1243))
% 0.37/0.78  (step @p2448 :rule cong :premises (@p2447) :args (@t1244))
% 0.37/0.78  (step @p2449 :rule cong :premises (@p2448) :args (@t1245))
% 0.37/0.78  (step @p2450 :rule refl :args (@t1239))
% 0.37/0.78  (step @p2451 :rule nary_cong :premises (@p2450 @p2449) :args (@t1246))
% 0.37/0.78  (step @p2452 :rule refl :args (@t1234))
% 0.37/0.78  (step @p2453 :rule cong :premises (@p2452 @p2451) :args ((=> @t1234 @t1246)))
% 0.37/0.78  (assume-push @p2505 @t1234)
% 0.37/0.78  (step @p2455 :rule instantiate :premises (@p2444) :args ((@list @t1237)))
% 0.37/0.78  (step-pop @p2506 :rule scope :premises (@p2455))
% 0.37/0.78  (step @p2456 :rule process_scope :premises (@p2506) :args (@t1246))
% 0.37/0.78  (step @p2458 :rule eq_resolve :premises (@p2456 @p2453))
% 0.37/0.78  (step @p2459 :rule implies_elim :premises (@p2458))
% 0.37/0.78  (step @p2460 :rule chain_m_resolution :premises (@p2459 @p2444) :args (@t1249 (@list false) (@list @t1234)))
% 0.37/0.78  (step @p2461 :rule bool-double-not-elim :args (@t1238))
% 0.37/0.78  (step @p2462 :rule nary_cong :premises (@p2433 @p2461) :args ((or @t1240 (not @t1239))))
% 0.37/0.78  (step @p2463 :rule cnf_or_neg :args (@t1240 0))
% 0.37/0.78  (step @p2464 :rule eq_resolve :premises (@p2463 @p2462))
% 0.37/0.78  (step @p2465 :rule reordering :premises (@p2464) :args ((or @t1238 @t1240)))
% 0.37/0.78  (step @p2466 :rule chain_m_resolution :premises (@p2465 @p2431) :args (@t1238 @t1241 @t1242))
% 0.37/0.78  (step @p2467 :rule cnf_or_pos :args (@t1249))
% 0.37/0.78  (step @p2468 :rule reordering :premises (@p2467) :args ((or @t1239 @t1248 (not @t1249))))
% 0.37/0.78  (step @p2469 :rule chain_m_resolution :premises (@p2468 @p2466 @p2460) :args (@t1248 (@list false false) (@list @t1238 @t1249)))
% 0.37/0.78  (step @p2470 :rule refl :args (@t1255))
% 0.37/0.78  (step @p2471 :rule bool-double-not-elim :args (@t1247))
% 0.37/0.78  (step @p2472 :rule nary_cong :premises (@p2471 @p2470) :args ((or (not @t1248) @t1255)))
% 0.37/0.78  (step @p2473 :rule eq-symm :args (@t1250 @t1237))
% 0.37/0.78  (step @p2474 :rule refl :args (@t1253))
% 0.37/0.78  (step @p2475 :rule nary_cong :premises (@p2474 @p2473) :args (@t1256))
% 0.37/0.78  (step @p2476 :rule cong :premises (@p2475) :args (@t1257))
% 0.37/0.78  (step @p2477 :rule refl :args (@t1248))
% 0.37/0.78  (step @p2478 :rule cong :premises (@p2477 @p2476) :args ((=> @t1248 @t1257)))
% 0.37/0.78  (assume-push @p2507 @t1248)
% 0.37/0.78  (step @p2480 :rule skolemize :premises (@p2469))
% 0.37/0.78  (step-pop @p2508 :rule scope :premises (@p2480))
% 0.37/0.78  (step @p2481 :rule process_scope :premises (@p2508) :args (@t1257))
% 0.37/0.78  (step @p2483 :rule eq_resolve :premises (@p2481 @p2478))
% 0.37/0.78  (step @p2484 :rule implies_elim :premises (@p2483))
% 0.37/0.78  (step @p2485 :rule eq_resolve :premises (@p2484 @p2472))
% 0.37/0.78  (step @p2486 :rule chain_m_resolution :premises (@p2485 @p2469) :args (@t1255 @t1241 (@list @t1247)))
% 0.37/0.78  (step @p2487 :rule cnf_or_neg :args (@t1254 1))
% 0.37/0.78  (step @p2488 :rule chain_m_resolution :premises (@p2487 @p2486) :args ((not @t1251) @t1241 @t1258))
% 0.37/0.78  (step @p2489 :rule bool-double-not-elim :args (@t1252))
% 0.37/0.78  (step @p2490 :rule refl :args (@t1254))
% 0.37/0.78  (step @p2491 :rule nary_cong :premises (@p2490 @p2489) :args ((or @t1254 (not @t1253))))
% 0.37/0.78  (step @p2492 :rule cnf_or_neg :args (@t1254 0))
% 0.37/0.78  (step @p2493 :rule eq_resolve :premises (@p2492 @p2491))
% 0.37/0.78  (step @p2494 :rule reordering :premises (@p2493) :args ((or @t1252 @t1254)))
% 0.37/0.78  (step @p2495 :rule chain_m_resolution :premises (@p2494 @p2486) :args (@t1252 @t1241 @t1258))
% 0.37/0.78  (step @p2496 :rule cnf_or_pos :args (@t1259))
% 0.37/0.78  (step @p2497 :rule reordering :premises (@p2496) :args ((or @t1239 @t1253 @t1251 @t1260)))
% 0.37/0.78  (step @p2498 :rule chain_m_resolution :premises (@p2497 @p2466 @p2495 @p2488) :args (@t1260 (@list false false true) (@list @t1238 @t1252 @t1251)))
% 0.37/0.78  (assume-push @p2509 @t1233)
% 0.37/0.78  (step @p2500 :rule instantiate :premises (@p2438) :args ((@list @t1237 @t1250)))
% 0.37/0.78  (step-pop @p2510 :rule scope :premises (@p2500))
% 0.37/0.78  (step @p2501 :rule process_scope :premises (@p2510) :args (@t1259))
% 0.37/0.78  (step @p2503 :rule implies_elim :premises (@p2501))
% 0.37/0.78  (step @p2504 false :rule chain_m_resolution :premises (@p2503 @p2498 @p2438) :args (false (@list true false) (@list @t1259 @t1233)))
% 0.37/0.78  )
% 0.37/0.78  % SZS output end Proof
% 0.37/0.78  % cvc5 exiting
%------------------------------------------------------------------------------