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cvc5---1.3.4.THM-Prf.s

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%------------------------------------------------------------------------------
% File     : cvc5---1.3.4
% Problem  : SEU510^1 : 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 : n002.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 08:52:00 AM UTC 2026

% Result   : Theorem 0.53s 0.78s
% Output   : Proof 0.53s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : SEU510^1 : TPTP v9.2.1. Released v3.7.0.
% 0.12/0.13  % Command  : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.17/0.34  % Computer : n002.cluster.edu
% 0.17/0.34  % Model    : x86_64 x86_64
% 0.17/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.34  % Memory   : 8042.1875MB
% 0.17/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.17/0.34  % CPULimit : 300
% 0.17/0.34  % WCLimit  : 300
% 0.17/0.34  % DateTime : Tue Jun  2 17:40:03 EDT 2026
% 0.17/0.34  % CPUTime  : 
% 0.31/0.50  %----Proving TH0
% 0.53/0.78  --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 90s...
% 0.53/0.78  % SZS status Theorem
% 0.53/0.78  % SZS output start Proof
% 0.53/0.78  (
% 0.53/0.78  (declare-sort $$unsorted 0)
% 0.53/0.78  (declare-const tptp.emptyset $$unsorted)
% 0.53/0.78  (declare-const tptp.powerset (-> $$unsorted $$unsorted))
% 0.53/0.78  (declare-const tptp.dsetconstr (-> $$unsorted (-> $$unsorted Bool) $$unsorted))
% 0.53/0.78  (declare-const tptp.nonemptyE1 Bool)
% 0.53/0.78  (declare-const tptp.noeltsimpempty Bool)
% 0.53/0.78  (declare-const tptp.emptyI Bool)
% 0.53/0.78  (declare-const tptp.omegaIndAx Bool)
% 0.53/0.78  (declare-const tptp.omega0Ax Bool)
% 0.53/0.78  (declare-const tptp.setunion (-> $$unsorted $$unsorted))
% 0.53/0.78  (declare-const tptp.powersetAx Bool)
% 0.53/0.78  (declare-const tptp.omegaSAx Bool)
% 0.53/0.78  (declare-const tptp.setext Bool)
% 0.53/0.78  (declare-const tptp.setadjoinAx Bool)
% 0.53/0.78  (declare-const tptp.setbeta Bool)
% 0.53/0.78  (declare-const tptp.dsetconstrER Bool)
% 0.53/0.78  (declare-const tptp.setadjoin (-> $$unsorted $$unsorted $$unsorted))
% 0.53/0.78  (declare-const tptp.notinemptyset Bool)
% 0.53/0.78  (declare-const tptp.foundationAx Bool)
% 0.53/0.78  (declare-const tptp.setextAx Bool)
% 0.53/0.78  (declare-const tptp.in (-> $$unsorted $$unsorted Bool))
% 0.53/0.78  (declare-const tptp.emptysetAx Bool)
% 0.53/0.78  (declare-const tptp.dsetconstrEL Bool)
% 0.53/0.78  (declare-const tptp.replAx Bool)
% 0.53/0.78  (declare-const tptp.emptysetimpfalse Bool)
% 0.53/0.78  (declare-const tptp.wellorderingAx Bool)
% 0.53/0.78  (declare-const tptp.descr (-> (-> $$unsorted Bool) $$unsorted))
% 0.53/0.78  (declare-const tptp.exuE1 Bool)
% 0.53/0.78  (declare-const tptp.descrp Bool)
% 0.53/0.78  (declare-const tptp.dsetconstrI Bool)
% 0.53/0.78  (declare-const tptp.omega $$unsorted)
% 0.53/0.78  (declare-const tptp.exuE3e Bool)
% 0.53/0.78  (declare-const tptp.prop2setE Bool)
% 0.53/0.78  (declare-const tptp.setunionAx Bool)
% 0.53/0.78  (declare-const tptp.emptysetE Bool)
% 0.53/0.78  (define tptp.exu () (let ((_let_1 (@var "Xy" $$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))))))))))
% 0.53/0.78  (define tptp.prop2set () (let ((_let_1 (@var "Xphi" Bool))) (lambda (@list _let_1) (_ (_ tptp.dsetconstr (_ tptp.powerset tptp.emptyset)) (lambda (@list (@var "Xx" $$unsorted)) _let_1)))))
% 0.53/0.78  (define tptp.nonempty () (let ((_let_1 (@var "Xx" $$unsorted))) (lambda (@list _let_1) (not (= _let_1 tptp.emptyset)))))
% 0.53/0.78  (define @t1 () (@var "B" $$unsorted))
% 0.53/0.78  (define @t2 () (@var "A" $$unsorted))
% 0.53/0.78  (define @t3 () (= @t2 @t1))
% 0.53/0.78  (define @t4 () (@var "Xx" $$unsorted))
% 0.53/0.78  (define @t5 () (_ tptp.in @t4))
% 0.53/0.78  (define @t6 () (_ @t5 @t1))
% 0.53/0.78  (define @t7 () (_ @t5 @t2))
% 0.53/0.78  (define @t8 () (= @t7 @t6))
% 0.53/0.78  (define @t9 () (@list @t4))
% 0.53/0.78  (define @t10 () (forall @t9 @t8))
% 0.53/0.78  (define @t11 () (=> @t10 @t3))
% 0.53/0.78  (define @t12 () (@list @t2 @t1))
% 0.53/0.78  (define @t13 () (forall @t12 @t11))
% 0.53/0.78  (define @t14 () (= tptp.setextAx @t13))
% 0.53/0.78  (define @t15 () (_ @t5 tptp.emptyset))
% 0.53/0.78  (define @t16 () (not @t15))
% 0.53/0.78  (define @t17 () (forall @t9 @t16))
% 0.53/0.78  (define @t18 () (= tptp.emptysetAx @t17))
% 0.53/0.78  (define @t19 () (@var "Xy" $$unsorted))
% 0.53/0.78  (define @t20 () (_ tptp.in @t19))
% 0.53/0.78  (define @t21 () (_ @t20 @t2))
% 0.53/0.78  (define @t22 () (or (= @t19 @t4) @t21))
% 0.53/0.78  (define @t23 () (_ tptp.setadjoin @t4))
% 0.53/0.78  (define @t24 () (_ @t23 @t2))
% 0.53/0.78  (define @t25 () (_ @t20 @t24))
% 0.53/0.78  (define @t26 () (= @t25 @t22))
% 0.53/0.78  (define @t27 () (@list @t4 @t2 @t19))
% 0.53/0.78  (define @t28 () (forall @t27 @t26))
% 0.53/0.78  (define @t29 () (= tptp.setadjoinAx @t28))
% 0.53/0.78  (define @t30 () (forall @t9 (=> @t6 @t7)))
% 0.53/0.78  (define @t31 () (_ tptp.powerset @t2))
% 0.53/0.78  (define @t32 () (_ tptp.in @t1))
% 0.53/0.78  (define @t33 () (_ @t32 @t31))
% 0.53/0.78  (define @t34 () (= @t33 @t30))
% 0.53/0.78  (define @t35 () (forall @t12 @t34))
% 0.53/0.78  (define @t36 () (= tptp.powersetAx @t35))
% 0.53/0.78  (define @t37 () (_ @t32 @t2))
% 0.53/0.78  (define @t38 () (and @t6 @t37))
% 0.53/0.78  (define @t39 () (@list @t1))
% 0.53/0.78  (define @t40 () (exists @t39 @t38))
% 0.53/0.78  (define @t41 () (_ tptp.setunion @t2))
% 0.53/0.78  (define @t42 () (_ @t5 @t41))
% 0.53/0.78  (define @t43 () (= @t42 @t40))
% 0.53/0.78  (define @t44 () (@list @t2 @t4))
% 0.53/0.78  (define @t45 () (forall @t44 @t43))
% 0.53/0.78  (define @t46 () (= tptp.setunionAx @t45))
% 0.53/0.78  (define @t47 () (_ tptp.in tptp.emptyset))
% 0.53/0.78  (define @t48 () (_ @t47 tptp.omega))
% 0.53/0.78  (define @t49 () (_ @t23 @t4))
% 0.53/0.78  (define @t50 () (_ tptp.in @t49))
% 0.53/0.78  (define @t51 () (_ @t50 tptp.omega))
% 0.53/0.78  (define @t52 () (_ @t5 tptp.omega))
% 0.53/0.78  (define @t53 () (forall @t9 (=> @t52 @t51)))
% 0.53/0.78  (define @t54 () (= tptp.omegaSAx @t53))
% 0.53/0.78  (define @t55 () (forall @t9 (=> @t52 @t7)))
% 0.53/0.78  (define @t56 () (_ @t50 @t2))
% 0.53/0.78  (define @t57 () (and @t52 @t7))
% 0.53/0.78  (define @t58 () (forall @t9 (=> @t57 @t56)))
% 0.53/0.78  (define @t59 () (_ @t47 @t2))
% 0.53/0.78  (define @t60 () (and @t59 @t58))
% 0.53/0.78  (define @t61 () (=> @t60 @t55))
% 0.53/0.78  (define @t62 () (@list @t2))
% 0.53/0.78  (define @t63 () (forall @t62 @t61))
% 0.53/0.78  (define @t64 () (= tptp.omegaIndAx @t63))
% 0.53/0.78  (define @t65 () (@var "Xphi" (-> $$unsorted $$unsorted Bool)))
% 0.53/0.78  (define @t66 () (_ (_ @t65 @t19) @t4))
% 0.53/0.78  (define @t67 () (and @t21 @t66))
% 0.53/0.78  (define @t68 () (@list @t19))
% 0.53/0.78  (define @t69 () (exists @t68 @t67))
% 0.53/0.78  (define @t70 () (= @t6 @t69))
% 0.53/0.78  (define @t71 () (forall @t9 @t70))
% 0.53/0.78  (define @t72 () (exists @t39 @t71))
% 0.53/0.78  (define @t73 () (_ @t65 @t4))
% 0.53/0.78  (define @t74 () (_ @t73 @t19))
% 0.53/0.78  (define @t75 () (lambda @t68 @t74))
% 0.53/0.78  (define @t76 () (=> @t7 (_ tptp.exu @t75)))
% 0.53/0.78  (define @t77 () (forall @t9 @t76))
% 0.53/0.78  (define @t78 () (=> @t77 @t72))
% 0.53/0.78  (define @t79 () (@list @t65 @t2))
% 0.53/0.78  (define @t80 () (forall @t79 @t78))
% 0.53/0.78  (define @t81 () (= tptp.replAx @t80))
% 0.53/0.78  (define @t82 () (and @t6 @t7))
% 0.53/0.78  (define @t83 () (exists @t9 @t82))
% 0.53/0.78  (define @t84 () (not @t83))
% 0.53/0.78  (define @t85 () (and @t37 @t84))
% 0.53/0.78  (define @t86 () (exists @t39 @t85))
% 0.53/0.78  (define @t87 () (exists @t9 @t7))
% 0.53/0.78  (define @t88 () (=> @t87 @t86))
% 0.53/0.78  (define @t89 () (forall @t62 @t88))
% 0.53/0.78  (define @t90 () (= tptp.foundationAx @t89))
% 0.53/0.78  (define @t91 () (@var "E" $$unsorted))
% 0.53/0.78  (define @t92 () (_ @t5 @t91))
% 0.53/0.78  (define @t93 () (@var "D" $$unsorted))
% 0.53/0.78  (define @t94 () (_ @t20 @t93))
% 0.53/0.78  (define @t95 () (_ @t20 @t91))
% 0.53/0.78  (define @t96 () (forall @t68 (=> @t95 @t94)))
% 0.53/0.78  (define @t97 () (or @t96 @t92))
% 0.53/0.78  (define @t98 () (_ (_ tptp.in @t91) @t1))
% 0.53/0.78  (define @t99 () (=> @t98 @t97))
% 0.53/0.78  (define @t100 () (@list @t91))
% 0.53/0.78  (define @t101 () (forall @t100 @t99))
% 0.53/0.78  (define @t102 () (@var "C" $$unsorted))
% 0.53/0.78  (define @t103 () (_ @t20 @t102))
% 0.53/0.78  (define @t104 () (and @t94 @t103))
% 0.53/0.78  (define @t105 () (exists @t68 @t104))
% 0.53/0.78  (define @t106 () (not @t105))
% 0.53/0.78  (define @t107 () (_ @t5 @t102))
% 0.53/0.78  (define @t108 () (_ (_ tptp.in @t93) @t1))
% 0.53/0.78  (define @t109 () (and @t108 @t107 @t106 @t101))
% 0.53/0.78  (define @t110 () (@list @t93 @t4))
% 0.53/0.78  (define @t111 () (exists @t110 @t109))
% 0.53/0.78  (define @t112 () (exists @t9 @t107))
% 0.53/0.78  (define @t113 () (forall @t9 (=> @t107 @t7)))
% 0.53/0.78  (define @t114 () (and @t113 @t112))
% 0.53/0.78  (define @t115 () (=> @t114 @t111))
% 0.53/0.78  (define @t116 () (@list @t102))
% 0.53/0.78  (define @t117 () (forall @t116 @t115))
% 0.53/0.78  (define @t118 () (_ @t5 @t93))
% 0.53/0.78  (define @t119 () (forall @t9 (=> @t118 @t107)))
% 0.53/0.78  (define @t120 () (forall @t9 (=> @t107 @t118)))
% 0.53/0.78  (define @t121 () (or @t120 @t119))
% 0.53/0.78  (define @t122 () (_ (_ tptp.in @t102) @t1))
% 0.53/0.78  (define @t123 () (and @t122 @t108))
% 0.53/0.78  (define @t124 () (=> @t123 @t121))
% 0.53/0.78  (define @t125 () (@list @t102 @t93))
% 0.53/0.78  (define @t126 () (forall @t125 @t124))
% 0.53/0.78  (define @t127 () (= @t4 @t19))
% 0.53/0.78  (define @t128 () (= @t107 @t103))
% 0.53/0.78  (define @t129 () (forall @t116 (=> @t122 @t128)))
% 0.53/0.78  (define @t130 () (=> @t129 @t127))
% 0.53/0.78  (define @t131 () (and @t7 @t21))
% 0.53/0.78  (define @t132 () (=> @t131 @t130))
% 0.53/0.78  (define @t133 () (@list @t4 @t19))
% 0.53/0.78  (define @t134 () (forall @t133 @t132))
% 0.53/0.78  (define @t135 () (=> @t122 @t113))
% 0.53/0.78  (define @t136 () (forall @t116 @t135))
% 0.53/0.78  (define @t137 () (and @t136 @t134 @t126 @t117))
% 0.53/0.78  (define @t138 () (exists @t39 @t137))
% 0.53/0.78  (define @t139 () (forall @t62 @t138))
% 0.53/0.78  (define @t140 () (= tptp.wellorderingAx @t139))
% 0.53/0.78  (define @t141 () (@var "Xphi" (-> $$unsorted Bool)))
% 0.53/0.78  (define @t142 () (_ @t141 @t4))
% 0.53/0.78  (define @t143 () (lambda @t9 @t142))
% 0.53/0.78  (define @t144 () (_ tptp.descr @t143))
% 0.53/0.78  (define @t145 () (_ @t141 @t144))
% 0.53/0.78  (define @t146 () (_ tptp.exu @t143))
% 0.53/0.78  (define @t147 () (=> @t146 @t145))
% 0.53/0.78  (define @t148 () (@list @t141))
% 0.53/0.78  (define @t149 () (forall @t148 @t147))
% 0.53/0.78  (define @t150 () (= tptp.descrp @t149))
% 0.53/0.78  (define @t151 () (_ @t141 @t19))
% 0.53/0.78  (define @t152 () (lambda @t68 @t151))
% 0.53/0.78  (define @t153 () (_ tptp.dsetconstr @t2))
% 0.53/0.78  (define @t154 () (_ @t153 @t152))
% 0.53/0.78  (define @t155 () (_ @t5 @t154))
% 0.53/0.78  (define @t156 () (=> @t142 @t155))
% 0.53/0.78  (define @t157 () (@list @t2 @t141 @t4))
% 0.53/0.78  (define @t158 () (forall @t157 (=> @t7 @t156)))
% 0.53/0.78  (define @t159 () (= tptp.dsetconstrI @t158))
% 0.53/0.78  (define @t160 () (forall @t157 (=> @t155 @t7)))
% 0.53/0.78  (define @t161 () (= tptp.dsetconstrEL @t160))
% 0.53/0.78  (define @t162 () (forall @t157 (=> @t155 @t142)))
% 0.53/0.78  (define @t163 () (= tptp.dsetconstrER @t162))
% 0.53/0.78  (define @t164 () (forall @t68 (=> @t151 @t127)))
% 0.53/0.78  (define @t165 () (and @t142 @t164))
% 0.53/0.78  (define @t166 () (exists @t9 @t165))
% 0.53/0.78  (define @t167 () (=> @t146 @t166))
% 0.53/0.78  (define @t168 () (forall @t148 @t167))
% 0.53/0.78  (define @t169 () (= tptp.exuE1 @t168))
% 0.53/0.78  (define @t170 () (@var "Xphi" Bool))
% 0.53/0.78  (define @t171 () (=> (_ @t5 (_ tptp.prop2set @t170)) @t170))
% 0.53/0.78  (define @t172 () (@list @t170 @t4))
% 0.53/0.78  (define @t173 () (forall @t172 @t171))
% 0.53/0.78  (define @t174 () (= tptp.prop2setE @t173))
% 0.53/0.78  (define @t175 () (@list @t170))
% 0.53/0.78  (define @t176 () (forall @t175 @t170))
% 0.53/0.78  (define @t177 () (=> @t15 @t176))
% 0.53/0.78  (define @t178 () (forall @t9 @t177))
% 0.53/0.78  (define @t179 () (= tptp.emptysetE @t178))
% 0.53/0.78  (define @t180 () (forall @t9 (=> @t15 false)))
% 0.53/0.78  (define @t181 () (= tptp.emptysetimpfalse @t180))
% 0.53/0.78  (define @t182 () (exists @t9 @t142))
% 0.53/0.78  (define @t183 () (=> @t146 @t182))
% 0.53/0.78  (define @t184 () (forall @t148 @t183))
% 0.53/0.78  (define @t185 () (= tptp.exuE3e @t184))
% 0.53/0.78  (define @t186 () (=> @t30 @t3))
% 0.53/0.78  (define @t187 () (forall @t9 (=> @t7 @t6)))
% 0.53/0.78  (define @t188 () (=> @t187 @t186))
% 0.53/0.78  (define @t189 () (forall @t12 @t188))
% 0.53/0.78  (define @t190 () (= tptp.setext @t189))
% 0.53/0.78  (define @t191 () (= @t2 tptp.emptyset))
% 0.53/0.78  (define @t192 () (not @t7))
% 0.53/0.78  (define @t193 () (forall @t9 @t192))
% 0.53/0.78  (define @t194 () (=> @t193 @t191))
% 0.53/0.78  (define @t195 () (forall @t62 @t194))
% 0.53/0.78  (define @t196 () (= tptp.emptyI @t195))
% 0.53/0.78  (define @t197 () (=> @t7 (= @t155 @t142)))
% 0.53/0.78  (define @t198 () (forall @t157 @t197))
% 0.53/0.78  (define @t199 () (= tptp.setbeta @t198))
% 0.53/0.78  (define @t200 () (=> (_ tptp.nonempty @t2) @t87))
% 0.53/0.78  (define @t201 () (forall @t62 @t200))
% 0.53/0.78  (define @t202 () (= tptp.nonemptyE1 @t201))
% 0.53/0.78  (define @t203 () (=> @t142 (_ tptp.nonempty @t154)))
% 0.53/0.78  (define @t204 () (=> @t7 @t203))
% 0.53/0.78  (define @t205 () (forall @t157 @t204))
% 0.53/0.78  (define @t206 () (=> tptp.nonemptyE1 @t205))
% 0.53/0.78  (define @t207 () (=> tptp.setbeta @t206))
% 0.53/0.78  (define @t208 () (=> tptp.noeltsimpempty @t207))
% 0.53/0.78  (define @t209 () (=> tptp.emptyI @t208))
% 0.53/0.78  (define @t210 () (=> tptp.setext @t209))
% 0.53/0.78  (define @t211 () (=> tptp.exuE3e @t210))
% 0.53/0.78  (define @t212 () (=> tptp.notinemptyset @t211))
% 0.53/0.78  (define @t213 () (=> tptp.emptysetimpfalse @t212))
% 0.53/0.78  (define @t214 () (=> tptp.emptysetE @t213))
% 0.53/0.78  (define @t215 () (=> tptp.prop2setE @t214))
% 0.53/0.78  (define @t216 () (=> tptp.exuE1 @t215))
% 0.53/0.78  (define @t217 () (=> tptp.dsetconstrER @t216))
% 0.53/0.78  (define @t218 () (=> tptp.dsetconstrEL @t217))
% 0.53/0.78  (define @t219 () (=> tptp.dsetconstrI @t218))
% 0.53/0.78  (define @t220 () (=> tptp.descrp @t219))
% 0.53/0.78  (define @t221 () (=> tptp.wellorderingAx @t220))
% 0.53/0.78  (define @t222 () (=> tptp.foundationAx @t221))
% 0.53/0.78  (define @t223 () (=> tptp.replAx @t222))
% 0.53/0.78  (define @t224 () (=> tptp.omegaIndAx @t223))
% 0.53/0.78  (define @t225 () (=> tptp.omegaSAx @t224))
% 0.53/0.78  (define @t226 () (=> tptp.omega0Ax @t225))
% 0.53/0.78  (define @t227 () (=> tptp.setunionAx @t226))
% 0.53/0.78  (define @t228 () (=> tptp.powersetAx @t227))
% 0.53/0.78  (define @t229 () (=> tptp.setadjoinAx @t228))
% 0.53/0.78  (define @t230 () (=> tptp.emptysetAx @t229))
% 0.53/0.78  (define @t231 () (=> tptp.setextAx @t230))
% 0.53/0.78  (define @t232 () (not @t231))
% 0.53/0.78  (define @t233 () (lambda @t148 @t166))
% 0.53/0.78  (define @t234 () (lambda @t9 @t170))
% 0.53/0.78  (define @t235 () (_ tptp.powerset tptp.emptyset))
% 0.53/0.78  (define @t236 () (_ tptp.dsetconstr @t235))
% 0.53/0.78  (define @t237 () (_ @t236 @t234))
% 0.53/0.78  (define @t238 () (lambda @t175 @t237))
% 0.53/0.78  (define @t239 () (lambda @t9 (not (= @t4 tptp.emptyset))))
% 0.53/0.78  (define @t240 () (tptp.dsetconstr @t2 @t141))
% 0.53/0.78  (define @t241 () (_ @t141 @t4))
% 0.53/0.78  (define @t242 () (not @t241))
% 0.53/0.78  (define @t243 () (tptp.in @t4 @t2))
% 0.53/0.78  (define @t244 () (not @t243))
% 0.53/0.78  (define @t245 () (forall @t157 (or @t244 @t242 (not (= tptp.emptyset @t240)))))
% 0.53/0.78  (define @t246 () (forall @t9 @t244))
% 0.53/0.78  (define @t247 () (not @t246))
% 0.53/0.78  (define @t248 () (tptp.in @t4 @t240))
% 0.53/0.78  (define @t249 () (forall @t62 (or @t247 @t191)))
% 0.53/0.78  (define @t250 () (tptp.in @t4 @t1))
% 0.53/0.78  (define @t251 () (not @t250))
% 0.53/0.78  (define @t252 () (forall @t9 (or @t251 @t243)))
% 0.53/0.78  (define @t253 () (not @t252))
% 0.53/0.78  (define @t254 () (forall @t9 (or @t244 @t250)))
% 0.53/0.78  (define @t255 () (not @t254))
% 0.53/0.78  (define @t256 () (or @t255 @t253 @t3))
% 0.53/0.78  (define @t257 () (@var "BOUND_VARIABLE_8332" $$unsorted))
% 0.53/0.78  (define @t258 () (_ @t141 @t19))
% 0.53/0.78  (define @t259 () (not @t258))
% 0.53/0.78  (define @t260 () (not (_ @t141 @t257)))
% 0.53/0.78  (define @t261 () (not (forall @t9 @t242)))
% 0.53/0.78  (define @t262 () (@list @t141 @t257))
% 0.53/0.78  (define @t263 () (tptp.in @t4 tptp.emptyset))
% 0.53/0.78  (define @t264 () (forall @t9 (not @t263)))
% 0.53/0.78  (define @t265 () (@var "BOUND_VARIABLE_9555" $$unsorted))
% 0.53/0.78  (define @t266 () (lambda (@list @t265) false))
% 0.53/0.78  (define @t267 () (tptp.powerset tptp.emptyset))
% 0.53/0.78  (define @t268 () (=> (forall @t9 (not (tptp.in @t4 (tptp.dsetconstr @t267 @t266)))) (=> @t264 (=> @t264 (=> @t264 (=> (forall @t262 (or @t261 @t260 (not (forall @t68 (or @t259 (= @t19 @t257)))))) (=> (forall @t12 @t256) (=> @t249 (=> @t249 (=> (forall @t157 (or @t244 (= @t241 @t248))) (=> (forall @t62 (or @t191 @t247)) @t245)))))))))))
% 0.53/0.78  (define @t269 () (not @t248))
% 0.53/0.78  (define @t270 () (forall @t157 (or @t269 @t241)))
% 0.53/0.78  (define @t271 () (forall @t157 (or @t269 @t243)))
% 0.53/0.78  (define @t272 () (forall @t157 (or @t244 @t242 @t248)))
% 0.53/0.78  (define @t273 () (@var "BOUND_VARIABLE_8203" $$unsorted))
% 0.53/0.78  (define @t274 () (not (_ @t141 @t273)))
% 0.53/0.78  (define @t275 () (_ @t141 (tptp.descr @t141)))
% 0.53/0.78  (define @t276 () (@list @t141 @t273))
% 0.53/0.78  (define @t277 () (forall @t276 (or @t275 @t274 (not (forall @t68 (or @t259 (= @t19 @t273)))))))
% 0.53/0.78  (define @t278 () (@var "BOUND_VARIABLE_8123" $$unsorted))
% 0.53/0.78  (define @t279 () (tptp.in @t278 @t93))
% 0.53/0.78  (define @t280 () (not (tptp.in @t278 @t91)))
% 0.53/0.78  (define @t281 () (tptp.in @t4 @t91))
% 0.53/0.78  (define @t282 () (tptp.in @t91 @t1))
% 0.53/0.78  (define @t283 () (not @t282))
% 0.53/0.78  (define @t284 () (or @t283 @t281 @t280 @t279))
% 0.53/0.78  (define @t285 () (@list @t91 @t278))
% 0.53/0.78  (define @t286 () (forall @t285 @t284))
% 0.53/0.78  (define @t287 () (not @t286))
% 0.53/0.78  (define @t288 () (tptp.in @t19 @t102))
% 0.53/0.78  (define @t289 () (tptp.in @t19 @t93))
% 0.53/0.78  (define @t290 () (forall @t68 (or (not @t289) (not @t288))))
% 0.53/0.78  (define @t291 () (not @t290))
% 0.53/0.78  (define @t292 () (tptp.in @t4 @t102))
% 0.53/0.78  (define @t293 () (not @t292))
% 0.53/0.78  (define @t294 () (tptp.in @t93 @t1))
% 0.53/0.78  (define @t295 () (not @t294))
% 0.53/0.78  (define @t296 () (not (forall @t110 (or @t295 @t293 @t291 @t287))))
% 0.53/0.78  (define @t297 () (@var "BOUND_VARIABLE_8152" $$unsorted))
% 0.53/0.78  (define @t298 () (not (tptp.in @t297 @t102)))
% 0.53/0.78  (define @t299 () (forall @t9 (or @t293 @t243)))
% 0.53/0.78  (define @t300 () (not @t299))
% 0.53/0.78  (define @t301 () (or @t300 @t298 @t296))
% 0.53/0.78  (define @t302 () (forall (@list @t102 @t297) @t301))
% 0.53/0.78  (define @t303 () (not @t302))
% 0.53/0.78  (define @t304 () (@var "BOUND_VARIABLE_8075" $$unsorted))
% 0.53/0.78  (define @t305 () (tptp.in @t304 @t102))
% 0.53/0.78  (define @t306 () (not (tptp.in @t304 @t93)))
% 0.53/0.78  (define @t307 () (@var "BOUND_VARIABLE_8069" $$unsorted))
% 0.53/0.78  (define @t308 () (tptp.in @t307 @t93))
% 0.53/0.78  (define @t309 () (not (tptp.in @t307 @t102)))
% 0.53/0.78  (define @t310 () (tptp.in @t102 @t1))
% 0.53/0.78  (define @t311 () (not @t310))
% 0.53/0.78  (define @t312 () (or @t311 @t295 @t309 @t308 @t306 @t305))
% 0.53/0.78  (define @t313 () (@list @t102 @t93 @t307 @t304))
% 0.53/0.78  (define @t314 () (forall @t313 @t312))
% 0.53/0.78  (define @t315 () (not @t314))
% 0.53/0.78  (define @t316 () (forall @t116 (or @t311 (= @t292 @t288))))
% 0.53/0.78  (define @t317 () (not @t316))
% 0.53/0.78  (define @t318 () (tptp.in @t19 @t2))
% 0.53/0.78  (define @t319 () (not @t318))
% 0.53/0.78  (define @t320 () (forall @t133 (or @t244 @t319 @t317 @t127)))
% 0.53/0.78  (define @t321 () (not @t320))
% 0.53/0.78  (define @t322 () (@var "BOUND_VARIABLE_8018" $$unsorted))
% 0.53/0.78  (define @t323 () (tptp.in @t322 @t2))
% 0.53/0.78  (define @t324 () (not (tptp.in @t322 @t102)))
% 0.53/0.78  (define @t325 () (or @t311 @t324 @t323))
% 0.53/0.78  (define @t326 () (@list @t102 @t322))
% 0.53/0.78  (define @t327 () (forall @t326 @t325))
% 0.53/0.78  (define @t328 () (not @t327))
% 0.53/0.78  (define @t329 () (or @t328 @t321 @t315 @t303))
% 0.53/0.78  (define @t330 () (forall @t62 (not (forall @t39 @t329))))
% 0.53/0.78  (define @t331 () (forall @t9 (or @t251 @t244)))
% 0.53/0.78  (define @t332 () (not @t331))
% 0.53/0.78  (define @t333 () (tptp.in @t1 @t2))
% 0.53/0.78  (define @t334 () (not @t333))
% 0.53/0.78  (define @t335 () (not (forall @t39 (or @t334 @t332))))
% 0.53/0.78  (define @t336 () (@var "BOUND_VARIABLE_7993" $$unsorted))
% 0.53/0.78  (define @t337 () (not (tptp.in @t336 @t2)))
% 0.53/0.78  (define @t338 () (or @t337 @t335))
% 0.53/0.78  (define @t339 () (forall (@list @t2 @t336) @t338))
% 0.53/0.78  (define @t340 () (_ @t65 @t19 @t4))
% 0.53/0.78  (define @t341 () (not (forall @t68 (or @t319 (not @t340)))))
% 0.53/0.78  (define @t342 () (forall @t9 (= @t250 @t341)))
% 0.53/0.78  (define @t343 () (not (forall @t39 (not @t342))))
% 0.53/0.78  (define @t344 () (@var "BOUND_VARIABLE_7883" $$unsorted))
% 0.53/0.78  (define @t345 () (= @t19 @t344))
% 0.53/0.78  (define @t346 () (_ @t65 @t4 @t19))
% 0.53/0.78  (define @t347 () (not (forall @t68 (or (not @t346) @t345))))
% 0.53/0.78  (define @t348 () (_ @t65 @t4 @t344))
% 0.53/0.78  (define @t349 () (@list @t344))
% 0.53/0.78  (define @t350 () (not (forall @t349 (or (not @t348) @t347))))
% 0.53/0.78  (define @t351 () (forall @t9 (or @t244 @t350)))
% 0.53/0.78  (define @t352 () (forall @t79 (or (not @t351) @t343)))
% 0.53/0.78  (define @t353 () (@var "BOUND_VARIABLE_7864" $$unsorted))
% 0.53/0.78  (define @t354 () (tptp.in @t353 @t2))
% 0.53/0.78  (define @t355 () (not (tptp.in @t353 tptp.omega)))
% 0.53/0.78  (define @t356 () (tptp.setadjoin @t4 @t4))
% 0.53/0.78  (define @t357 () (tptp.in @t356 @t2))
% 0.53/0.78  (define @t358 () (tptp.in @t4 tptp.omega))
% 0.53/0.78  (define @t359 () (not @t358))
% 0.53/0.78  (define @t360 () (forall @t9 (or @t359 @t244 @t357)))
% 0.53/0.78  (define @t361 () (not @t360))
% 0.53/0.78  (define @t362 () (tptp.in tptp.emptyset @t2))
% 0.53/0.78  (define @t363 () (not @t362))
% 0.53/0.78  (define @t364 () (or @t363 @t361 @t355 @t354))
% 0.53/0.78  (define @t365 () (@list @t2 @t353))
% 0.53/0.78  (define @t366 () (forall @t365 @t364))
% 0.53/0.78  (define @t367 () (tptp.in @t356 tptp.omega))
% 0.53/0.78  (define @t368 () (forall @t9 (or @t359 @t367)))
% 0.53/0.78  (define @t369 () (=> @t368 (=> @t366 (=> @t352 (=> @t339 (=> @t330 (=> @t277 (=> @t272 (=> @t271 (=> @t270 @t268))))))))))
% 0.53/0.78  (define @t370 () (tptp.in tptp.emptyset tptp.omega))
% 0.53/0.78  (define @t371 () (=> @t48 @t369))
% 0.53/0.78  (define @t372 () (tptp.setunion @t2))
% 0.53/0.78  (define @t373 () (tptp.in @t4 @t372))
% 0.53/0.78  (define @t374 () (not (forall @t39 (or @t251 @t334))))
% 0.53/0.78  (define @t375 () (forall @t44 (= @t374 @t373)))
% 0.53/0.78  (define @t376 () (=> @t375 @t371))
% 0.53/0.78  (define @t377 () (tptp.powerset @t2))
% 0.53/0.78  (define @t378 () (tptp.in @t1 @t377))
% 0.53/0.78  (define @t379 () (forall @t12 (= @t252 @t378)))
% 0.53/0.78  (define @t380 () (=> @t379 @t376))
% 0.53/0.78  (define @t381 () (tptp.setadjoin @t4 @t2))
% 0.53/0.78  (define @t382 () (tptp.in @t19 @t381))
% 0.53/0.78  (define @t383 () (forall @t27 (= @t382 (or @t127 @t318))))
% 0.53/0.78  (define @t384 () (=> @t383 @t380))
% 0.53/0.78  (define @t385 () (=> @t264 @t384))
% 0.53/0.78  (define @t386 () (forall @t9 (= @t243 @t250)))
% 0.53/0.78  (define @t387 () (forall @t12 (or (not @t386) @t3)))
% 0.53/0.78  (define @t388 () (=> @t387 @t385))
% 0.53/0.78  (define @t389 () (=> @t270 (=> true @t268)))
% 0.53/0.78  (define @t390 () (=> @t271 @t389))
% 0.53/0.78  (define @t391 () (=> @t272 @t390))
% 0.53/0.78  (define @t392 () (=> @t277 @t391))
% 0.53/0.78  (define @t393 () (=> @t330 @t392))
% 0.53/0.78  (define @t394 () (=> @t339 @t393))
% 0.53/0.78  (define @t395 () (=> @t352 @t394))
% 0.53/0.78  (define @t396 () (=> @t366 @t395))
% 0.53/0.78  (define @t397 () (=> @t368 @t396))
% 0.53/0.78  (define @t398 () (=> @t48 @t397))
% 0.53/0.78  (define @t399 () (=> @t375 @t398))
% 0.53/0.78  (define @t400 () (=> @t379 @t399))
% 0.53/0.78  (define @t401 () (=> @t383 @t400))
% 0.53/0.78  (define @t402 () (=> @t264 @t401))
% 0.53/0.78  (define @t403 () (=> @t387 @t402))
% 0.53/0.78  (define @t404 () (not @t191))
% 0.53/0.78  (define @t405 () (not @t193))
% 0.53/0.78  (define @t406 () (_ @t239 @t2))
% 0.53/0.78  (define @t407 () (=> @t406 @t87))
% 0.53/0.78  (define @t408 () (forall @t62 @t407))
% 0.53/0.78  (define @t409 () (=> tptp.nonemptyE1 @t245))
% 0.53/0.78  (define @t410 () (lambda @t68 @t258))
% 0.53/0.78  (define @t411 () (tptp.dsetconstr @t2 @t410))
% 0.53/0.78  (define @t412 () (tptp.in @t4 @t411))
% 0.53/0.78  (define @t413 () (= @t241 @t412))
% 0.53/0.78  (define @t414 () (or @t244 @t413))
% 0.53/0.78  (define @t415 () (= @t142 @t155))
% 0.53/0.78  (define @t416 () (or @t192 @t415))
% 0.53/0.78  (define @t417 () (=> tptp.setbeta @t409))
% 0.53/0.78  (define @t418 () (=> tptp.noeltsimpempty @t417))
% 0.53/0.78  (define @t419 () (=> tptp.emptyI @t418))
% 0.53/0.78  (define @t420 () (=> @t252 @t3))
% 0.53/0.78  (define @t421 () (not @t6))
% 0.53/0.78  (define @t422 () (or @t421 @t7))
% 0.53/0.78  (define @t423 () (or @t192 @t6))
% 0.53/0.78  (define @t424 () (=> tptp.setext @t419))
% 0.53/0.78  (define @t425 () (or @t259 (= @t257 @t19)))
% 0.53/0.78  (define @t426 () (forall @t68 @t425))
% 0.53/0.78  (define @t427 () (not @t426))
% 0.53/0.78  (define @t428 () (or @t261 @t260 @t427))
% 0.53/0.78  (define @t429 () (or @t260 @t427))
% 0.53/0.78  (define @t430 () (or @t429 @t261))
% 0.53/0.78  (define @t431 () (forall @t262 @t430))
% 0.53/0.78  (define @t432 () (@list @t257))
% 0.53/0.78  (define @t433 () (forall @t432 @t430))
% 0.53/0.78  (define @t434 () (forall @t432 @t429))
% 0.53/0.78  (define @t435 () (@list @t4))
% 0.53/0.78  (define @t436 () (or @t434 @t261))
% 0.53/0.78  (define @t437 () (forall @t68 (or @t259 @t127)))
% 0.53/0.78  (define @t438 () (not @t437))
% 0.53/0.78  (define @t439 () (forall @t9 (or @t242 @t438)))
% 0.53/0.78  (define @t440 () (not @t439))
% 0.53/0.78  (define @t441 () (not @t440))
% 0.53/0.78  (define @t442 () (not @t142))
% 0.53/0.78  (define @t443 () (forall @t9 @t442))
% 0.53/0.78  (define @t444 () (not @t443))
% 0.53/0.78  (define @t445 () (or @t442 @t438))
% 0.53/0.78  (define @t446 () (not @t151))
% 0.53/0.78  (define @t447 () (or @t446 @t127))
% 0.53/0.78  (define @t448 () (_ @t143 @t19))
% 0.53/0.78  (define @t449 () (not @t448))
% 0.53/0.78  (define @t450 () (or @t449 @t127))
% 0.53/0.78  (define @t451 () (forall @t68 @t450))
% 0.53/0.78  (define @t452 () (not @t451))
% 0.53/0.78  (define @t453 () (_ @t143 @t4))
% 0.53/0.78  (define @t454 () (not @t453))
% 0.53/0.78  (define @t455 () (or @t454 @t452))
% 0.53/0.78  (define @t456 () (forall @t9 @t455))
% 0.53/0.78  (define @t457 () (not @t456))
% 0.53/0.78  (define @t458 () (lambda @t148 @t440))
% 0.53/0.78  (define @t459 () (_ @t458 @t143))
% 0.53/0.78  (define @t460 () (=> @t459 @t182))
% 0.53/0.78  (define @t461 () (forall @t148 @t460))
% 0.53/0.78  (define @t462 () (and @t142 @t437))
% 0.53/0.78  (define @t463 () (forall @t9 (not @t462)))
% 0.53/0.78  (define @t464 () (not @t463))
% 0.53/0.78  (define @t465 () (=> tptp.exuE3e @t424))
% 0.53/0.78  (define @t466 () (=> tptp.notinemptyset @t465))
% 0.53/0.78  (define @t467 () (=> tptp.emptysetimpfalse @t466))
% 0.53/0.78  (define @t468 () (not (= @t170 false)))
% 0.53/0.78  (define @t469 () (or @t170 @t170))
% 0.53/0.78  (define @t470 () (=> tptp.emptysetE @t467))
% 0.53/0.78  (define @t471 () (@var "BOUND_VARIABLE_8277" $$unsorted))
% 0.53/0.78  (define @t472 () (@list @t471))
% 0.53/0.78  (define @t473 () (lambda @t472 false))
% 0.53/0.78  (define @t474 () (@list @t471))
% 0.53/0.78  (define @t475 () (tptp.dsetconstr @t267 @t473))
% 0.53/0.78  (define @t476 () (tptp.in @t4 @t475))
% 0.53/0.78  (define @t477 () (not @t476))
% 0.53/0.78  (define @t478 () (or @t477 false))
% 0.53/0.78  (define @t479 () (lambda @t472 @t170))
% 0.53/0.78  (define @t480 () (tptp.dsetconstr @t267 @t479))
% 0.53/0.78  (define @t481 () (tptp.in @t4 @t480))
% 0.53/0.78  (define @t482 () (not @t481))
% 0.53/0.78  (define @t483 () (or @t170 @t482 @t170))
% 0.53/0.78  (define @t484 () (or @t482 @t170))
% 0.53/0.78  (define @t485 () (forall @t175 @t484))
% 0.53/0.78  (define @t486 () (forall @t9 @t485))
% 0.53/0.78  (define @t487 () (forall (@list @t4 @t170) @t484))
% 0.53/0.78  (define @t488 () (_ @t236 @t479))
% 0.53/0.78  (define @t489 () (_ @t5 @t488))
% 0.53/0.78  (define @t490 () (not @t489))
% 0.53/0.78  (define @t491 () (or @t490 @t170))
% 0.53/0.78  (define @t492 () (=> (_ @t5 @t237) @t170))
% 0.53/0.78  (define @t493 () (_ @t238 @t170))
% 0.53/0.78  (define @t494 () (=> (_ @t5 @t493) @t170))
% 0.53/0.78  (define @t495 () (forall @t172 @t494))
% 0.53/0.78  (define @t496 () (=> tptp.prop2setE @t470))
% 0.53/0.78  (define @t497 () (=> @t459 @t166))
% 0.53/0.78  (define @t498 () (forall @t148 @t497))
% 0.53/0.78  (define @t499 () (=> tptp.exuE1 @t496))
% 0.53/0.78  (define @t500 () (not @t412))
% 0.53/0.78  (define @t501 () (or @t500 @t241))
% 0.53/0.78  (define @t502 () (not @t155))
% 0.53/0.78  (define @t503 () (or @t502 @t142))
% 0.53/0.78  (define @t504 () (=> tptp.dsetconstrER @t499))
% 0.53/0.78  (define @t505 () (or @t500 @t243))
% 0.53/0.78  (define @t506 () (or @t502 @t7))
% 0.53/0.78  (define @t507 () (=> tptp.dsetconstrEL @t504))
% 0.53/0.78  (define @t508 () (or @t244 @t242 @t412))
% 0.53/0.78  (define @t509 () (or @t192 @t442 @t155))
% 0.53/0.78  (define @t510 () (=> tptp.dsetconstrI @t507))
% 0.53/0.78  (define @t511 () (or @t259 (= @t273 @t19)))
% 0.53/0.78  (define @t512 () (forall @t68 @t511))
% 0.53/0.78  (define @t513 () (not @t512))
% 0.53/0.78  (define @t514 () (or @t275 @t274 @t513))
% 0.53/0.78  (define @t515 () (or @t274 @t513))
% 0.53/0.78  (define @t516 () (or @t515 @t275))
% 0.53/0.78  (define @t517 () (forall @t276 @t516))
% 0.53/0.78  (define @t518 () (@list @t273))
% 0.53/0.78  (define @t519 () (forall @t518 @t516))
% 0.53/0.78  (define @t520 () (forall @t518 @t515))
% 0.53/0.78  (define @t521 () (or @t520 @t275))
% 0.53/0.78  (define @t522 () (lambda @t9 @t241))
% 0.53/0.78  (define @t523 () (tptp.descr @t522))
% 0.53/0.78  (define @t524 () (_ @t141 @t523))
% 0.53/0.78  (define @t525 () (or @t439 @t524))
% 0.53/0.78  (define @t526 () (or @t439 @t145))
% 0.53/0.78  (define @t527 () (=> @t459 @t145))
% 0.53/0.78  (define @t528 () (forall @t148 @t527))
% 0.53/0.78  (define @t529 () (=> tptp.descrp @t510))
% 0.53/0.78  (define @t530 () (and @t327 @t320 @t314 @t302))
% 0.53/0.78  (define @t531 () (forall @t39 (not @t530)))
% 0.53/0.78  (define @t532 () (not @t531))
% 0.53/0.78  (define @t533 () (@list @t297))
% 0.53/0.78  (define @t534 () (forall @t533 @t301))
% 0.53/0.78  (define @t535 () (forall @t533 @t298))
% 0.53/0.78  (define @t536 () (or @t300 @t535 @t296))
% 0.53/0.78  (define @t537 () (forall @t9 @t293))
% 0.53/0.78  (define @t538 () (or @t300 @t537 @t296))
% 0.53/0.78  (define @t539 () (not @t537))
% 0.53/0.78  (define @t540 () (and @t299 @t539))
% 0.53/0.78  (define @t541 () (not @t107))
% 0.53/0.78  (define @t542 () (not @t108))
% 0.53/0.78  (define @t543 () (or @t542 @t541 @t291 @t287))
% 0.53/0.78  (define @t544 () (and @t108 @t107 @t290 @t286))
% 0.53/0.78  (define @t545 () (forall @t110 (not @t544)))
% 0.53/0.78  (define @t546 () (not @t545))
% 0.53/0.78  (define @t547 () (or @t280 @t279))
% 0.53/0.78  (define @t548 () (or @t283 @t547 @t281))
% 0.53/0.78  (define @t549 () (forall @t285 @t548))
% 0.53/0.78  (define @t550 () (@list @t278))
% 0.53/0.78  (define @t551 () (forall @t550 @t548))
% 0.53/0.78  (define @t552 () (forall @t550 @t547))
% 0.53/0.78  (define @t553 () (or @t283 @t552 @t281))
% 0.53/0.78  (define @t554 () (tptp.in @t19 @t91))
% 0.53/0.78  (define @t555 () (forall @t68 (or (not @t554) @t289)))
% 0.53/0.78  (define @t556 () (not @t98))
% 0.53/0.78  (define @t557 () (or @t556 @t555 @t92))
% 0.53/0.78  (define @t558 () (or @t555 @t92))
% 0.53/0.78  (define @t559 () (not @t95))
% 0.53/0.78  (define @t560 () (or @t559 @t94))
% 0.53/0.78  (define @t561 () (not @t103))
% 0.53/0.78  (define @t562 () (not @t94))
% 0.53/0.78  (define @t563 () (or @t562 @t561))
% 0.53/0.78  (define @t564 () (forall @t68 (not @t104)))
% 0.53/0.78  (define @t565 () (not @t564))
% 0.53/0.78  (define @t566 () (forall @t9 @t541))
% 0.53/0.78  (define @t567 () (not @t566))
% 0.53/0.78  (define @t568 () (or @t541 @t7))
% 0.53/0.78  (define @t569 () (or @t306 @t305))
% 0.53/0.78  (define @t570 () (or @t309 @t308))
% 0.53/0.78  (define @t571 () (or @t311 @t295 @t570 @t569))
% 0.53/0.78  (define @t572 () (forall @t313 @t571))
% 0.53/0.78  (define @t573 () (forall (@list @t307 @t304) @t571))
% 0.53/0.78  (define @t574 () (forall (@list @t304) @t569))
% 0.53/0.78  (define @t575 () (forall (@list @t307) @t570))
% 0.53/0.78  (define @t576 () (or @t311 @t295 @t575 @t574))
% 0.53/0.78  (define @t577 () (tptp.in @t4 @t93))
% 0.53/0.78  (define @t578 () (forall @t9 (or (not @t577) @t292)))
% 0.53/0.78  (define @t579 () (forall @t9 (or @t293 @t577)))
% 0.53/0.78  (define @t580 () (not @t122))
% 0.53/0.78  (define @t581 () (or @t580 @t542 @t579 @t578))
% 0.53/0.78  (define @t582 () (or @t579 @t578))
% 0.53/0.78  (define @t583 () (not @t118))
% 0.53/0.78  (define @t584 () (or @t583 @t107))
% 0.53/0.78  (define @t585 () (or @t541 @t118))
% 0.53/0.78  (define @t586 () (not @t21))
% 0.53/0.78  (define @t587 () (or @t192 @t586 @t317 @t127))
% 0.53/0.78  (define @t588 () (=> @t316 @t127))
% 0.53/0.78  (define @t589 () (or @t580 @t128))
% 0.53/0.78  (define @t590 () (or @t324 @t323))
% 0.53/0.78  (define @t591 () (or @t311 @t590))
% 0.53/0.78  (define @t592 () (forall @t326 @t591))
% 0.53/0.78  (define @t593 () (@list @t322))
% 0.53/0.78  (define @t594 () (forall @t593 @t591))
% 0.53/0.78  (define @t595 () (forall @t593 @t590))
% 0.53/0.78  (define @t596 () (or @t311 @t595))
% 0.53/0.78  (define @t597 () (or @t580 @t299))
% 0.53/0.78  (define @t598 () (=> tptp.wellorderingAx @t529))
% 0.53/0.78  (define @t599 () (@list @t336))
% 0.53/0.78  (define @t600 () (forall @t599 @t338))
% 0.53/0.78  (define @t601 () (forall @t599 @t337))
% 0.53/0.78  (define @t602 () (or @t601 @t335))
% 0.53/0.78  (define @t603 () (not @t37))
% 0.53/0.78  (define @t604 () (or @t603 @t332))
% 0.53/0.78  (define @t605 () (and @t37 @t331))
% 0.53/0.78  (define @t606 () (forall @t39 (not @t605)))
% 0.53/0.78  (define @t607 () (not @t606))
% 0.53/0.78  (define @t608 () (or @t421 @t192))
% 0.53/0.78  (define @t609 () (forall @t9 (not @t82)))
% 0.53/0.78  (define @t610 () (not @t609))
% 0.53/0.78  (define @t611 () (=> tptp.foundationAx @t598))
% 0.53/0.78  (define @t612 () (= @t6 @t341))
% 0.53/0.78  (define @t613 () (not @t66))
% 0.53/0.78  (define @t614 () (or @t586 @t613))
% 0.53/0.78  (define @t615 () (forall @t68 (not @t67)))
% 0.53/0.78  (define @t616 () (not @t615))
% 0.53/0.78  (define @t617 () (or @t192 @t350))
% 0.53/0.78  (define @t618 () (_ @t73 @t344))
% 0.53/0.78  (define @t619 () (not @t618))
% 0.53/0.78  (define @t620 () (or @t619 @t347))
% 0.53/0.78  (define @t621 () (not @t74))
% 0.53/0.78  (define @t622 () (or @t621 @t345))
% 0.53/0.78  (define @t623 () (_ @t75 @t19))
% 0.53/0.78  (define @t624 () (not @t623))
% 0.53/0.78  (define @t625 () (or @t624 @t345))
% 0.53/0.78  (define @t626 () (forall @t68 @t625))
% 0.53/0.78  (define @t627 () (not @t626))
% 0.53/0.78  (define @t628 () (_ @t75 @t344))
% 0.53/0.78  (define @t629 () (not @t628))
% 0.53/0.78  (define @t630 () (or @t629 @t627))
% 0.53/0.78  (define @t631 () (forall @t349 @t630))
% 0.53/0.78  (define @t632 () (not @t631))
% 0.53/0.78  (define @t633 () (not (_ @t141 @t344)))
% 0.53/0.78  (define @t634 () (or @t259 (= @t344 @t19)))
% 0.53/0.78  (define @t635 () (forall @t68 @t634))
% 0.53/0.78  (define @t636 () (not @t635))
% 0.53/0.78  (define @t637 () (or @t633 @t636))
% 0.53/0.78  (define @t638 () (forall @t349 @t637))
% 0.53/0.78  (define @t639 () (not @t638))
% 0.53/0.78  (define @t640 () (=> @t7 (_ @t458 @t75)))
% 0.53/0.78  (define @t641 () (forall @t9 @t640))
% 0.53/0.78  (define @t642 () (=> @t641 @t72))
% 0.53/0.78  (define @t643 () (forall @t79 @t642))
% 0.53/0.78  (define @t644 () (=> tptp.replAx @t611))
% 0.53/0.78  (define @t645 () (or @t355 @t354))
% 0.53/0.78  (define @t646 () (or @t363 @t361 @t645))
% 0.53/0.78  (define @t647 () (forall @t365 @t646))
% 0.53/0.78  (define @t648 () (@list @t353))
% 0.53/0.78  (define @t649 () (forall @t648 @t646))
% 0.53/0.78  (define @t650 () (forall @t648 @t645))
% 0.53/0.78  (define @t651 () (or @t363 @t361 @t650))
% 0.53/0.78  (define @t652 () (forall @t9 (or @t359 @t243)))
% 0.53/0.78  (define @t653 () (not @t59))
% 0.53/0.78  (define @t654 () (or @t653 @t361 @t652))
% 0.53/0.78  (define @t655 () (and @t59 @t360))
% 0.53/0.78  (define @t656 () (not @t52))
% 0.53/0.78  (define @t657 () (or @t656 @t7))
% 0.53/0.78  (define @t658 () (_ tptp.in @t356))
% 0.53/0.78  (define @t659 () (or @t656 @t192 @t56))
% 0.53/0.78  (define @t660 () (=> tptp.omegaIndAx @t644))
% 0.53/0.78  (define @t661 () (or @t656 @t51))
% 0.53/0.78  (define @t662 () (=> tptp.omegaSAx @t660))
% 0.53/0.78  (define @t663 () (=> tptp.omega0Ax @t662))
% 0.53/0.78  (define @t664 () (= @t42 @t374))
% 0.53/0.78  (define @t665 () (or @t421 @t603))
% 0.53/0.78  (define @t666 () (forall @t39 (not @t38)))
% 0.53/0.78  (define @t667 () (not @t666))
% 0.53/0.78  (define @t668 () (=> tptp.setunionAx @t663))
% 0.53/0.78  (define @t669 () (= @t33 @t252))
% 0.53/0.78  (define @t670 () (=> tptp.powersetAx @t668))
% 0.53/0.78  (define @t671 () (or @t127 @t21))
% 0.53/0.78  (define @t672 () (= @t25 @t671))
% 0.53/0.78  (define @t673 () (=> tptp.setadjoinAx @t670))
% 0.53/0.78  (define @t674 () (=> tptp.emptysetAx @t673))
% 0.53/0.78  (define @t675 () (=> tptp.setextAx @t674))
% 0.53/0.78  (define @t676 () (= tptp.emptyset @t411))
% 0.53/0.78  (define @t677 () (not @t676))
% 0.53/0.78  (define @t678 () (or @t244 @t242 @t677))
% 0.53/0.78  (define @t679 () (= tptp.emptyset @t154))
% 0.53/0.78  (define @t680 () (not @t679))
% 0.53/0.78  (define @t681 () (or @t192 @t442 @t680))
% 0.53/0.78  (define @t682 () (=> @t142 @t680))
% 0.53/0.78  (define @t683 () (not (= @t154 tptp.emptyset)))
% 0.53/0.78  (define @t684 () (_ @t239 @t154))
% 0.53/0.78  (define @t685 () (=> @t142 @t684))
% 0.53/0.78  (define @t686 () (=> @t7 @t685))
% 0.53/0.78  (define @t687 () (forall @t157 @t686))
% 0.53/0.78  (define @t688 () (=> tptp.nonemptyE1 @t687))
% 0.53/0.78  (define @t689 () (=> tptp.setbeta @t688))
% 0.53/0.78  (define @t690 () (=> tptp.noeltsimpempty @t689))
% 0.53/0.78  (define @t691 () (=> tptp.emptyI @t690))
% 0.53/0.78  (define @t692 () (=> tptp.setext @t691))
% 0.53/0.78  (define @t693 () (=> tptp.exuE3e @t692))
% 0.53/0.78  (define @t694 () (=> tptp.notinemptyset @t693))
% 0.53/0.78  (define @t695 () (=> tptp.emptysetimpfalse @t694))
% 0.53/0.78  (define @t696 () (=> tptp.emptysetE @t695))
% 0.53/0.78  (define @t697 () (=> tptp.prop2setE @t696))
% 0.53/0.78  (define @t698 () (=> tptp.exuE1 @t697))
% 0.53/0.78  (define @t699 () (=> tptp.dsetconstrER @t698))
% 0.53/0.78  (define @t700 () (=> tptp.dsetconstrEL @t699))
% 0.53/0.78  (define @t701 () (=> tptp.dsetconstrI @t700))
% 0.53/0.78  (define @t702 () (=> tptp.descrp @t701))
% 0.53/0.78  (define @t703 () (=> tptp.wellorderingAx @t702))
% 0.53/0.78  (define @t704 () (=> tptp.foundationAx @t703))
% 0.53/0.78  (define @t705 () (=> tptp.replAx @t704))
% 0.53/0.78  (define @t706 () (=> tptp.omegaIndAx @t705))
% 0.53/0.78  (define @t707 () (=> tptp.omegaSAx @t706))
% 0.53/0.78  (define @t708 () (=> tptp.omega0Ax @t707))
% 0.53/0.78  (define @t709 () (=> tptp.setunionAx @t708))
% 0.53/0.78  (define @t710 () (=> tptp.powersetAx @t709))
% 0.53/0.78  (define @t711 () (=> tptp.setadjoinAx @t710))
% 0.53/0.78  (define @t712 () (=> tptp.emptysetAx @t711))
% 0.53/0.78  (define @t713 () (=> tptp.setextAx @t712))
% 0.53/0.78  (define @t714 () (@quantifiers_skolemize @t245 2))
% 0.53/0.78  (define @t715 () (@quantifiers_skolemize @t245 1))
% 0.53/0.78  (define @t716 () (@quantifiers_skolemize @t245 0))
% 0.53/0.78  (define @t717 () (_ @t715 @t714))
% 0.53/0.78  (define @t718 () (tptp.dsetconstr @t716 @t715))
% 0.53/0.78  (define @t719 () (= tptp.emptyset @t718))
% 0.53/0.78  (define @t720 () (not @t719))
% 0.53/0.78  (define @t721 () (not @t717))
% 0.53/0.78  (define @t722 () (tptp.in @t714 @t716))
% 0.53/0.78  (define @t723 () (not @t722))
% 0.53/0.78  (define @t724 () (or @t723 @t721 @t720))
% 0.53/0.78  (define @t725 () (@list true))
% 0.53/0.78  (define @t726 () (@list @t724))
% 0.53/0.78  (define @t727 () (tptp.in @t714 @t718))
% 0.53/0.78  (define @t728 () (or @t723 @t721 @t727))
% 0.53/0.78  (assume @p1 @t14)
% 0.53/0.78  (assume @p2 @t18)
% 0.53/0.78  (assume @p3 @t29)
% 0.53/0.78  (assume @p4 @t36)
% 0.53/0.78  (assume @p5 @t46)
% 0.53/0.78  (assume @p6 (= tptp.omega0Ax @t48))
% 0.53/0.78  (assume @p7 @t54)
% 0.53/0.78  (assume @p8 @t64)
% 0.53/0.78  (assume @p9 @t81)
% 0.53/0.78  (assume @p10 @t90)
% 0.53/0.78  (assume @p11 @t140)
% 0.53/0.78  (assume @p12 @t150)
% 0.53/0.78  (assume @p13 @t159)
% 0.53/0.78  (assume @p14 @t161)
% 0.53/0.78  (assume @p15 @t163)
% 0.53/0.78  (assume @p16 @t169)
% 0.53/0.78  (assume @p17 @t174)
% 0.53/0.78  (assume @p18 @t179)
% 0.53/0.78  (assume @p19 @t181)
% 0.53/0.78  (assume @p20 (= tptp.notinemptyset @t17))
% 0.53/0.78  (assume @p21 @t185)
% 0.53/0.78  (assume @p22 @t190)
% 0.53/0.78  (assume @p23 @t196)
% 0.53/0.78  (assume @p24 (= tptp.noeltsimpempty @t195))
% 0.53/0.78  (assume @p25 @t199)
% 0.53/0.78  (assume @p26 @t202)
% 0.53/0.78  (assume @p27 @t232)
% 0.53/0.78  (assume @p28 true)
% 0.53/0.78  (step @p29 (= tptp.exu @t233) :rule refl :args (@t233))
% 0.53/0.78  (step @p30 (= tptp.prop2set @t238) :rule refl :args (@t238))
% 0.53/0.78  (step @p31 (= tptp.nonempty @t239) :rule refl :args (@t239))
% 0.53/0.78  (step @p32 :rule evaluate :args ((= false true)))
% 0.53/0.78  (step @p33 :rule refl :args (@t369))
% 0.53/0.78  (step @p34 :rule refl :args (@t370))
% 0.53/0.78  (step @p35 :rule refl :args (@t48))
% 0.53/0.78  (step @p36 :rule cong :premises (@p35 @p34) :args ((= @t48 @t370)))
% 0.53/0.78  (step @p37 :rule symm :premises (@p36))
% 0.53/0.78  (step @p38 :rule eq_resolve :premises (@p35 @p37))
% 0.53/0.78  (step @p39 :rule cong :premises (@p38 @p33) :args (@t371))
% 0.53/0.78  (step @p40 :rule refl :args (@t375))
% 0.53/0.78  (step @p41 :rule cong :premises (@p40 @p39) :args (@t376))
% 0.53/0.78  (step @p42 :rule refl :args (@t379))
% 0.53/0.78  (step @p43 :rule cong :premises (@p42 @p41) :args (@t380))
% 0.53/0.78  (step @p44 :rule refl :args (@t383))
% 0.53/0.78  (step @p45 :rule cong :premises (@p44 @p43) :args (@t384))
% 0.53/0.78  (step @p46 :rule refl :args (@t264))
% 0.53/0.78  (step @p47 :rule cong :premises (@p46 @p45) :args (@t385))
% 0.53/0.78  (step @p48 :rule refl :args (@t387))
% 0.53/0.78  (step @p49 :rule cong :premises (@p48 @p47) :args (@t388))
% 0.53/0.78  (step @p50 :rule cong :premises (@p49) :args ((not @t388)))
% 0.53/0.78  (step @p51 :rule bool-impl-true2 :args (@t268))
% 0.53/0.78  (step @p52 :rule refl :args (@t270))
% 0.53/0.78  (step @p53 :rule cong :premises (@p52 @p51) :args (@t389))
% 0.53/0.78  (step @p54 :rule refl :args (@t271))
% 0.53/0.78  (step @p55 :rule cong :premises (@p54 @p53) :args (@t390))
% 0.53/0.78  (step @p56 :rule refl :args (@t272))
% 0.53/0.78  (step @p57 :rule cong :premises (@p56 @p55) :args (@t391))
% 0.53/0.78  (step @p58 :rule refl :args (@t277))
% 0.53/0.78  (step @p59 :rule cong :premises (@p58 @p57) :args (@t392))
% 0.53/0.78  (step @p60 :rule refl :args (@t330))
% 0.53/0.78  (step @p61 :rule cong :premises (@p60 @p59) :args (@t393))
% 0.53/0.78  (step @p62 :rule refl :args (@t339))
% 0.53/0.78  (step @p63 :rule cong :premises (@p62 @p61) :args (@t394))
% 0.53/0.78  (step @p64 :rule refl :args (@t352))
% 0.53/0.78  (step @p65 :rule cong :premises (@p64 @p63) :args (@t395))
% 0.53/0.78  (step @p66 :rule refl :args (@t366))
% 0.53/0.78  (step @p67 :rule cong :premises (@p66 @p65) :args (@t396))
% 0.53/0.78  (step @p68 :rule refl :args (@t368))
% 0.53/0.78  (step @p69 :rule cong :premises (@p68 @p67) :args (@t397))
% 0.53/0.78  (step @p70 :rule refl :args (@t48))
% 0.53/0.78  (step @p71 :rule cong :premises (@p70 @p69) :args (@t398))
% 0.53/0.78  (step @p72 :rule cong :premises (@p40 @p71) :args (@t399))
% 0.53/0.78  (step @p73 :rule cong :premises (@p42 @p72) :args (@t400))
% 0.53/0.78  (step @p74 :rule cong :premises (@p44 @p73) :args (@t401))
% 0.53/0.78  (step @p75 :rule cong :premises (@p46 @p74) :args (@t402))
% 0.53/0.78  (step @p76 :rule cong :premises (@p48 @p75) :args (@t403))
% 0.53/0.78  (step @p77 :rule cong :premises (@p76) :args ((not @t403)))
% 0.53/0.78  (step @p78 :rule refl :args (@t245))
% 0.53/0.78  (step @p79 :rule refl :args (@t247))
% 0.53/0.78  (step @p80 :rule bool-double-not-elim :args (@t191))
% 0.53/0.78  (step @p81 :rule nary_cong :premises (@p80 @p79) :args ((or (not @t404) @t247)))
% 0.53/0.78  (step @p82 :rule bool-impl-elim :args (@t404 @t247))
% 0.53/0.78  (step @p83 :rule trans :premises (@p82 @p81))
% 0.53/0.78  (step @p84 :rule cong :premises (@p83) :args ((forall @t62 (=> @t404 @t247))))
% 0.53/0.78  (step @p85 :rule refl :args (@t243))
% 0.53/0.78  (step @p86 :rule refl :args (@t7))
% 0.53/0.78  (step @p87 :rule cong :premises (@p86 @p85) :args ((= @t7 @t243)))
% 0.53/0.78  (step @p88 :rule symm :premises (@p87))
% 0.53/0.78  (step @p89 :rule eq_resolve :premises (@p86 @p88))
% 0.53/0.78  (step @p90 :rule cong :premises (@p89) :args (@t192))
% 0.53/0.78  (step @p91 :rule cong :premises (@p90) :args (@t193))
% 0.53/0.78  (step @p92 :rule cong :premises (@p91) :args (@t405))
% 0.53/0.78  (step @p93 :rule exists-elim :args ((= @t87 @t405)))
% 0.53/0.78  (step @p94 :rule trans :premises (@p93 @p92))
% 0.53/0.78  (step @p95 :rule beta-reduce :args ((= @t406 @t404)))
% 0.53/0.78  (step @p96 :rule cong :premises (@p95 @p94) :args (@t407))
% 0.53/0.78  (step @p97 :rule cong :premises (@p96) :args (@t408))
% 0.53/0.78  (step @p98 :rule trans :premises (@p97 @p84))
% 0.53/0.78  (step @p99 :rule refl :args (tptp.nonemptyE1))
% 0.53/0.78  (step @p100 :rule cong :premises (@p99 @p98) :args ((= tptp.nonemptyE1 @t408)))
% 0.53/0.78  (step @p101 :rule refl :args (@t87))
% 0.53/0.78  (step @p102 :rule refl :args (@t2))
% 0.53/0.78  (step @p103 :rule ho_cong :premises (@p31 @p102))
% 0.53/0.78  (step @p104 :rule cong :premises (@p103 @p101) :args (@t200))
% 0.53/0.78  (step @p105 :rule cong :premises (@p104) :args (@t201))
% 0.53/0.78  (step @p106 :rule cong :premises (@p99 @p105) :args (@t202))
% 0.53/0.78  (step @p107 :rule trans :premises (@p106 @p100))
% 0.53/0.78  (step @p108 :rule eq_resolve :premises (@p26 @p107))
% 0.53/0.78  (step @p109 :rule cong :premises (@p108 @p78) :args (@t409))
% 0.53/0.78  (step @p110 :rule lambda-elim :args ((= @t410 @t141)))
% 0.53/0.78  (step @p111 :rule cong :premises (@p102 @p110) :args (@t411))
% 0.53/0.78  (step @p112 :rule refl :args (@t4))
% 0.53/0.78  (step @p113 :rule cong :premises (@p112 @p111) :args (@t412))
% 0.53/0.78  (step @p114 :rule refl :args (@t241))
% 0.53/0.78  (step @p115 :rule cong :premises (@p114 @p113) :args (@t413))
% 0.53/0.78  (step @p116 :rule refl :args (@t244))
% 0.53/0.78  (step @p117 :rule nary_cong :premises (@p116 @p115) :args (@t414))
% 0.53/0.78  (step @p118 :rule cong :premises (@p117) :args ((forall @t157 @t414)))
% 0.53/0.78  (step @p119 :rule refl :args ((tptp.in @t4 @t154)))
% 0.53/0.78  (step @p120 :rule refl :args ((tptp.dsetconstr @t2 @t152)))
% 0.53/0.78  (step @p121 :rule refl :args (@t258))
% 0.53/0.78  (step @p122 :rule cong :premises (@p121) :args (@t410))
% 0.53/0.78  (step @p123 :rule refl :args (@t2))
% 0.53/0.78  (step @p124 :rule cong :premises (@p123 @p122) :args (@t411))
% 0.53/0.78  (step @p125 :rule trans :premises (@p124 @p120))
% 0.53/0.78  (step @p126 :rule refl :args (@t4))
% 0.53/0.78  (step @p127 :rule cong :premises (@p126 @p125) :args (@t412))
% 0.53/0.78  (step @p128 :rule trans :premises (@p127 @p119))
% 0.53/0.78  (step @p129 :rule refl :args (@t5))
% 0.53/0.78  (step @p130 :rule ho_cong :premises (@p129 @p125))
% 0.53/0.78  (step @p131 :rule cong :premises (@p130 @p128) :args ((= (_ @t5 @t411) @t412)))
% 0.53/0.78  (step @p132 :rule symm :premises (@p131))
% 0.53/0.78  (step @p133 :rule refl :args (@t155))
% 0.53/0.78  (step @p134 :rule eq_resolve :premises (@p133 @p132))
% 0.53/0.78  (step @p135 :rule refl :args (@t153))
% 0.53/0.78  (step @p136 :rule ho_cong :premises (@p135 @p122))
% 0.53/0.78  (step @p137 :rule cong :premises (@p136 @p125) :args ((= (_ @t153 @t410) @t411)))
% 0.53/0.78  (step @p138 :rule symm :premises (@p137))
% 0.53/0.78  (step @p139 :rule refl :args (@t154))
% 0.53/0.78  (step @p140 :rule eq_resolve :premises (@p139 @p138))
% 0.53/0.78  (step @p141 :rule refl :args (@t151))
% 0.53/0.78  (step @p142 :rule cong :premises (@p141 @p121) :args ((= @t151 @t258)))
% 0.53/0.78  (step @p143 :rule symm :premises (@p142))
% 0.53/0.78  (step @p144 :rule eq_resolve :premises (@p141 @p143))
% 0.53/0.78  (step @p145 :rule cong :premises (@p144) :args (@t152))
% 0.53/0.78  (step @p146 :rule ho_cong :premises (@p135 @p145))
% 0.53/0.78  (step @p147 :rule trans :premises (@p146 @p140))
% 0.53/0.78  (step @p148 :rule ho_cong :premises (@p129 @p147))
% 0.53/0.78  (step @p149 :rule trans :premises (@p148 @p134))
% 0.53/0.78  (step @p150 :rule refl :args (@t241))
% 0.53/0.78  (step @p151 :rule refl :args (@t142))
% 0.53/0.78  (step @p152 :rule cong :premises (@p151 @p150) :args ((= @t142 @t241)))
% 0.53/0.78  (step @p153 :rule symm :premises (@p152))
% 0.53/0.78  (step @p154 :rule eq_resolve :premises (@p151 @p153))
% 0.53/0.78  (step @p155 :rule cong :premises (@p154 @p149) :args (@t415))
% 0.53/0.78  (step @p156 :rule nary_cong :premises (@p90 @p155) :args (@t416))
% 0.53/0.78  (step @p157 :rule cong :premises (@p156) :args ((forall @t157 @t416)))
% 0.53/0.78  (step @p158 :rule trans :premises (@p157 @p118))
% 0.53/0.78  (step @p159 :rule bool-impl-elim :args (@t7 @t415))
% 0.53/0.78  (step @p160 :rule cong :premises (@p159) :args ((forall @t157 (=> @t7 @t415))))
% 0.53/0.78  (step @p161 :rule trans :premises (@p160 @p158))
% 0.53/0.78  (step @p162 :rule eq-symm :args (@t155 @t142))
% 0.53/0.78  (step @p163 :rule refl :args (@t7))
% 0.53/0.78  (step @p164 :rule cong :premises (@p163 @p162) :args (@t197))
% 0.53/0.78  (step @p165 :rule cong :premises (@p164) :args (@t198))
% 0.53/0.78  (step @p166 :rule trans :premises (@p165 @p161))
% 0.53/0.78  (step @p167 :rule refl :args (tptp.setbeta))
% 0.53/0.78  (step @p168 :rule cong :premises (@p167 @p166) :args (@t199))
% 0.53/0.78  (step @p169 :rule eq_resolve :premises (@p25 @p168))
% 0.53/0.78  (step @p170 :rule cong :premises (@p169 @p109) :args (@t417))
% 0.53/0.78  (step @p171 :rule eq-symm :args (@t249 tptp.noeltsimpempty))
% 0.53/0.78  (step @p172 :rule refl :args (tptp.noeltsimpempty))
% 0.53/0.78  (step @p173 :rule bool-impl-elim :args (@t246 @t191))
% 0.53/0.78  (step @p174 :rule cong :premises (@p173) :args ((forall @t62 (=> @t246 @t191))))
% 0.53/0.78  (step @p175 :rule refl :args (@t191))
% 0.53/0.78  (step @p176 :rule cong :premises (@p91 @p175) :args (@t194))
% 0.53/0.78  (step @p177 :rule cong :premises (@p176) :args (@t195))
% 0.53/0.78  (step @p178 :rule trans :premises (@p177 @p174))
% 0.53/0.78  (step @p179 :rule cong :premises (@p178 @p172) :args ((= @t195 tptp.noeltsimpempty)))
% 0.53/0.78  (step @p180 :rule trans :premises (@p179 @p171))
% 0.53/0.78  (step @p181 :rule eq-symm :args (tptp.noeltsimpempty @t195))
% 0.53/0.78  (step @p182 :rule trans :premises (@p181 @p180))
% 0.53/0.78  (step @p183 :rule eq_resolve :premises (@p24 @p182))
% 0.53/0.78  (step @p184 :rule cong :premises (@p183 @p170) :args (@t418))
% 0.53/0.78  (step @p185 :rule refl :args (tptp.emptyI))
% 0.53/0.78  (step @p186 :rule cong :premises (@p185 @p178) :args (@t196))
% 0.53/0.78  (step @p187 :rule eq_resolve :premises (@p23 @p186))
% 0.53/0.78  (step @p188 :rule cong :premises (@p187 @p184) :args (@t419))
% 0.53/0.78  (step @p189 :rule aci_norm :args ((= (or @t255 (or @t253 @t3)) @t256)))
% 0.53/0.78  (step @p190 :rule bool-impl-elim :args (@t252 @t3))
% 0.53/0.78  (step @p191 :rule refl :args (@t255))
% 0.53/0.78  (step @p192 :rule nary_cong :premises (@p191 @p190) :args ((or @t255 @t420)))
% 0.53/0.78  (step @p193 :rule trans :premises (@p192 @p189))
% 0.53/0.78  (step @p194 :rule bool-impl-elim :args (@t254 @t420))
% 0.53/0.78  (step @p195 :rule trans :premises (@p194 @p193))
% 0.53/0.78  (step @p196 :rule cong :premises (@p195) :args ((forall @t12 (=> @t254 @t420))))
% 0.53/0.78  (step @p197 :rule refl :args (@t3))
% 0.53/0.78  (step @p198 :rule refl :args (@t250))
% 0.53/0.78  (step @p199 :rule refl :args (@t6))
% 0.53/0.78  (step @p200 :rule cong :premises (@p199 @p198) :args ((= @t6 @t250)))
% 0.53/0.78  (step @p201 :rule symm :premises (@p200))
% 0.53/0.78  (step @p202 :rule eq_resolve :premises (@p199 @p201))
% 0.53/0.78  (step @p203 :rule cong :premises (@p202) :args (@t421))
% 0.53/0.78  (step @p204 :rule nary_cong :premises (@p203 @p89) :args (@t422))
% 0.53/0.78  (step @p205 :rule cong :premises (@p204) :args ((forall @t9 @t422)))
% 0.53/0.78  (step @p206 :rule bool-impl-elim :args (@t6 @t7))
% 0.53/0.78  (step @p207 :rule cong :premises (@p206) :args (@t30))
% 0.53/0.78  (step @p208 :rule trans :premises (@p207 @p205))
% 0.53/0.78  (step @p209 :rule cong :premises (@p208 @p197) :args (@t186))
% 0.53/0.78  (step @p210 :rule nary_cong :premises (@p90 @p202) :args (@t423))
% 0.53/0.78  (step @p211 :rule cong :premises (@p210) :args ((forall @t9 @t423)))
% 0.53/0.78  (step @p212 :rule bool-impl-elim :args (@t7 @t6))
% 0.53/0.78  (step @p213 :rule cong :premises (@p212) :args (@t187))
% 0.53/0.78  (step @p214 :rule trans :premises (@p213 @p211))
% 0.53/0.78  (step @p215 :rule cong :premises (@p214 @p209) :args (@t188))
% 0.53/0.78  (step @p216 :rule cong :premises (@p215) :args (@t189))
% 0.53/0.78  (step @p217 :rule trans :premises (@p216 @p196))
% 0.53/0.78  (step @p218 :rule refl :args (tptp.setext))
% 0.53/0.78  (step @p219 :rule cong :premises (@p218 @p217) :args (@t190))
% 0.53/0.78  (step @p220 :rule eq_resolve :premises (@p22 @p219))
% 0.53/0.78  (step @p221 :rule cong :premises (@p220 @p188) :args (@t424))
% 0.53/0.78  (step @p222 :rule eq-symm :args (@t257 @t19))
% 0.53/0.78  (step @p223 :rule refl :args (@t259))
% 0.53/0.78  (step @p224 :rule nary_cong :premises (@p223 @p222) :args (@t425))
% 0.53/0.78  (step @p225 :rule cong :premises (@p224) :args (@t426))
% 0.53/0.78  (step @p226 :rule cong :premises (@p225) :args (@t427))
% 0.53/0.78  (step @p227 :rule refl :args (@t260))
% 0.53/0.78  (step @p228 :rule refl :args (@t261))
% 0.53/0.78  (step @p229 :rule nary_cong :premises (@p228 @p227 @p226) :args (@t428))
% 0.53/0.78  (step @p230 :rule aci_norm :args ((= @t430 @t428)))
% 0.53/0.78  (step @p231 :rule trans :premises (@p230 @p229))
% 0.53/0.78  (step @p232 :rule cong :premises (@p231) :args (@t431))
% 0.53/0.78  (step @p233 :rule quant-merge-prenex :args ((= (forall @t148 @t433) @t431)))
% 0.53/0.78  (step @p234 :rule refl :args (@t261))
% 0.53/0.78  (step @p235 :rule alpha_equiv :args (@t434 (@list @t257) @t435))
% 0.53/0.78  (step @p236 :rule nary_cong :premises (@p235 @p234) :args (@t436))
% 0.53/0.78  (step @p237 :rule quant-miniscope-or :args ((= @t433 @t436)))
% 0.53/0.78  (step @p238 :rule trans :premises (@p237 @p236))
% 0.53/0.78  (step @p239 :rule symm :premises (@p238))
% 0.53/0.78  (step @p240 :rule cong :premises (@p239) :args ((forall @t148 (or @t439 @t261))))
% 0.53/0.78  (step @p241 :rule trans :premises (@p240 @p233))
% 0.53/0.78  (step @p242 :rule trans :premises (@p241 @p232))
% 0.53/0.78  (step @p243 :rule bool-double-not-elim :args (@t439))
% 0.53/0.78  (step @p244 :rule nary_cong :premises (@p243 @p234) :args ((or @t441 @t261)))
% 0.53/0.78  (step @p245 :rule bool-impl-elim :args (@t440 @t261))
% 0.53/0.78  (step @p246 :rule trans :premises (@p245 @p244))
% 0.53/0.78  (step @p247 :rule cong :premises (@p246) :args ((forall @t148 (=> @t440 @t261))))
% 0.53/0.78  (step @p248 :rule trans :premises (@p247 @p242))
% 0.53/0.78  (step @p249 :rule cong :premises (@p154) :args (@t442))
% 0.53/0.78  (step @p250 :rule cong :premises (@p249) :args (@t443))
% 0.53/0.78  (step @p251 :rule cong :premises (@p250) :args (@t444))
% 0.53/0.78  (step @p252 :rule exists-elim :args ((= @t182 @t444)))
% 0.53/0.78  (step @p253 :rule trans :premises (@p252 @p251))
% 0.53/0.78  (step @p254 :rule refl :args (@t438))
% 0.53/0.78  (step @p255 :rule nary_cong :premises (@p249 @p254) :args (@t445))
% 0.53/0.78  (step @p256 :rule cong :premises (@p255) :args ((forall @t9 @t445)))
% 0.53/0.78  (step @p257 :rule refl :args (@t127))
% 0.53/0.78  (step @p258 :rule cong :premises (@p144) :args (@t446))
% 0.53/0.78  (step @p259 :rule nary_cong :premises (@p258 @p257) :args (@t447))
% 0.53/0.78  (step @p260 :rule cong :premises (@p259) :args ((forall @t68 @t447)))
% 0.53/0.78  (step @p261 :rule refl :args (@t127))
% 0.53/0.78  (step @p262 :rule beta-reduce :args ((= @t448 @t151)))
% 0.53/0.78  (step @p263 :rule cong :premises (@p262) :args (@t449))
% 0.53/0.78  (step @p264 :rule nary_cong :premises (@p263 @p261) :args (@t450))
% 0.53/0.78  (step @p265 :rule cong :premises (@p264) :args (@t451))
% 0.53/0.78  (step @p266 :rule trans :premises (@p265 @p260))
% 0.53/0.78  (step @p267 :rule cong :premises (@p266) :args (@t452))
% 0.53/0.78  (step @p268 :rule beta-reduce :args ((= @t453 @t142)))
% 0.53/0.78  (step @p269 :rule cong :premises (@p268) :args (@t454))
% 0.53/0.78  (step @p270 :rule nary_cong :premises (@p269 @p267) :args (@t455))
% 0.53/0.78  (step @p271 :rule cong :premises (@p270) :args (@t456))
% 0.53/0.78  (step @p272 :rule trans :premises (@p271 @p256))
% 0.53/0.78  (step @p273 :rule cong :premises (@p272) :args (@t457))
% 0.53/0.78  (step @p274 :rule beta-reduce :args ((= @t459 @t457)))
% 0.53/0.78  (step @p275 :rule trans :premises (@p274 @p273))
% 0.53/0.78  (step @p276 :rule cong :premises (@p275 @p253) :args (@t460))
% 0.53/0.78  (step @p277 :rule cong :premises (@p276) :args (@t461))
% 0.53/0.78  (step @p278 :rule trans :premises (@p277 @p248))
% 0.53/0.78  (step @p279 :rule refl :args (tptp.exuE3e))
% 0.53/0.78  (step @p280 :rule cong :premises (@p279 @p278) :args ((= tptp.exuE3e @t461)))
% 0.53/0.78  (step @p281 :rule refl :args (@t182))
% 0.53/0.78  (step @p282 :rule refl :args (@t143))
% 0.53/0.78  (step @p283 :rule bool-and-de-morgan :args (@t142 @t437 true))
% 0.53/0.78  (step @p284 :rule cong :premises (@p283) :args (@t463))
% 0.53/0.78  (step @p285 :rule trans :premises (@p284 @p256))
% 0.53/0.78  (step @p286 :rule cong :premises (@p285) :args (@t464))
% 0.53/0.78  (step @p287 :rule exists-elim :args ((= (exists @t9 @t462) @t464)))
% 0.53/0.78  (step @p288 :rule trans :premises (@p287 @p286))
% 0.53/0.78  (step @p289 :rule bool-impl-elim :args (@t151 @t127))
% 0.53/0.78  (step @p290 :rule cong :premises (@p289) :args (@t164))
% 0.53/0.78  (step @p291 :rule trans :premises (@p290 @p260))
% 0.53/0.78  (step @p292 :rule refl :args (@t142))
% 0.53/0.78  (step @p293 :rule nary_cong :premises (@p292 @p291) :args (@t165))
% 0.53/0.78  (step @p294 :rule cong :premises (@p293) :args (@t166))
% 0.53/0.78  (step @p295 :rule trans :premises (@p294 @p288))
% 0.53/0.78  (step @p296 :rule cong :premises (@p295) :args (@t233))
% 0.53/0.78  (step @p297 :rule trans :premises (@p29 @p296))
% 0.53/0.78  (step @p298 :rule ho_cong :premises (@p297 @p282))
% 0.53/0.78  (step @p299 :rule cong :premises (@p298 @p281) :args (@t183))
% 0.53/0.78  (step @p300 :rule cong :premises (@p299) :args (@t184))
% 0.53/0.78  (step @p301 :rule cong :premises (@p279 @p300) :args (@t185))
% 0.53/0.78  (step @p302 :rule trans :premises (@p301 @p280))
% 0.53/0.78  (step @p303 :rule eq_resolve :premises (@p21 @p302))
% 0.53/0.78  (step @p304 :rule cong :premises (@p303 @p221) :args (@t465))
% 0.53/0.78  (step @p305 :rule eq-symm :args (@t264 tptp.notinemptyset))
% 0.53/0.78  (step @p306 :rule refl :args (tptp.notinemptyset))
% 0.53/0.78  (step @p307 :rule refl :args (@t263))
% 0.53/0.78  (step @p308 :rule refl :args (@t15))
% 0.53/0.78  (step @p309 :rule cong :premises (@p308 @p307) :args ((= @t15 @t263)))
% 0.53/0.78  (step @p310 :rule symm :premises (@p309))
% 0.53/0.78  (step @p311 :rule eq_resolve :premises (@p308 @p310))
% 0.53/0.78  (step @p312 :rule cong :premises (@p311) :args (@t16))
% 0.53/0.78  (step @p313 :rule cong :premises (@p312) :args (@t17))
% 0.53/0.78  (step @p314 :rule cong :premises (@p313 @p306) :args ((= @t17 tptp.notinemptyset)))
% 0.53/0.78  (step @p315 :rule trans :premises (@p314 @p305))
% 0.53/0.78  (step @p316 :rule eq-symm :args (tptp.notinemptyset @t17))
% 0.53/0.78  (step @p317 :rule trans :premises (@p316 @p315))
% 0.53/0.78  (step @p318 :rule eq_resolve :premises (@p20 @p317))
% 0.53/0.78  (step @p319 :rule cong :premises (@p318 @p304) :args (@t466))
% 0.53/0.78  (step @p320 :rule bool-impl-false1 :args (@t15))
% 0.53/0.78  (step @p321 :rule cong :premises (@p320) :args (@t180))
% 0.53/0.78  (step @p322 :rule trans :premises (@p321 @p313))
% 0.53/0.78  (step @p323 :rule refl :args (tptp.emptysetimpfalse))
% 0.53/0.78  (step @p324 :rule cong :premises (@p323 @p322) :args (@t181))
% 0.53/0.78  (step @p325 :rule eq_resolve :premises (@p19 @p324))
% 0.53/0.78  (step @p326 :rule cong :premises (@p325 @p319) :args (@t467))
% 0.53/0.78  (step @p327 :rule quant-var-elim-eq :args ((= (forall @t175 (or @t468 @t170)) false)))
% 0.53/0.78  (step @p328 :rule refl :args (@t170))
% 0.53/0.78  (step @p329 :rule bool-eq-false :args (@t170))
% 0.53/0.78  (step @p330 :rule symm :premises (@p329))
% 0.53/0.78  (step @p331 :rule cong :premises (@p330) :args ((not (not @t170))))
% 0.53/0.78  (step @p332 :rule bool-double-not-elim :args (@t170))
% 0.53/0.78  (step @p333 :rule symm :premises (@p332))
% 0.53/0.78  (step @p334 :rule trans :premises (@p333 @p331))
% 0.53/0.78  (step @p335 :rule nary_cong :premises (@p334 @p328) :args (@t469))
% 0.53/0.78  (step @p336 :rule aci_norm :args ((= @t170 @t469)))
% 0.53/0.78  (step @p337 :rule trans :premises (@p336 @p335))
% 0.53/0.78  (step @p338 :rule cong :premises (@p337) :args (@t176))
% 0.53/0.78  (step @p339 :rule trans :premises (@p338 @p327))
% 0.53/0.78  (step @p340 :rule refl :args (@t15))
% 0.53/0.78  (step @p341 :rule cong :premises (@p340 @p339) :args (@t177))
% 0.53/0.78  (step @p342 :rule trans :premises (@p341 @p320))
% 0.53/0.78  (step @p343 :rule cong :premises (@p342) :args (@t178))
% 0.53/0.78  (step @p344 :rule trans :premises (@p343 @p313))
% 0.53/0.78  (step @p345 :rule refl :args (tptp.emptysetE))
% 0.53/0.78  (step @p346 :rule cong :premises (@p345 @p344) :args (@t179))
% 0.53/0.78  (step @p347 :rule eq_resolve :premises (@p18 @p346))
% 0.53/0.78  (step @p348 :rule cong :premises (@p347 @p326) :args (@t470))
% 0.53/0.78  (step @p349 :rule refl :args (@t266))
% 0.53/0.78  (step @p350 :rule symm :premises (@p349))
% 0.53/0.78  (step @p351 :rule alpha_equiv :args (@t473 @t474 (@list @t265)))
% 0.53/0.78  (step @p352 :rule trans :premises (@p351 @p350))
% 0.53/0.78  (step @p353 :rule refl :args (@t267))
% 0.53/0.78  (step @p354 :rule cong :premises (@p353 @p352) :args (@t475))
% 0.53/0.78  (step @p355 :rule cong :premises (@p112 @p354) :args (@t476))
% 0.53/0.78  (step @p356 :rule cong :premises (@p355) :args (@t477))
% 0.53/0.78  (step @p357 :rule aci_norm :args ((= @t478 @t477)))
% 0.53/0.78  (step @p358 :rule trans :premises (@p357 @p356))
% 0.53/0.78  (step @p359 :rule cong :premises (@p358) :args ((forall @t9 @t478)))
% 0.53/0.78  (step @p360 :rule quant-var-elim-eq :args ((= (forall @t175 (or @t468 @t482 @t170)) @t478)))
% 0.53/0.78  (step @p361 :rule refl :args (@t482))
% 0.53/0.78  (step @p362 :rule nary_cong :premises (@p334 @p361 @p328) :args (@t483))
% 0.53/0.78  (step @p363 :rule aci_norm :args ((= @t484 @t483)))
% 0.53/0.78  (step @p364 :rule trans :premises (@p363 @p362))
% 0.53/0.78  (step @p365 :rule cong :premises (@p364) :args (@t485))
% 0.53/0.78  (step @p366 :rule trans :premises (@p365 @p360))
% 0.53/0.78  (step @p367 :rule cong :premises (@p366) :args (@t486))
% 0.53/0.78  (step @p368 :rule quant-merge-prenex :args ((= @t486 @t487)))
% 0.53/0.78  (step @p369 :rule symm :premises (@p368))
% 0.53/0.78  (step @p370 :rule quant_var_reordering :args ((= (forall @t172 @t484) @t487)))
% 0.53/0.78  (step @p371 :rule trans :premises (@p370 @p369 @p367))
% 0.53/0.78  (step @p372 :rule trans :premises (@p371 @p359))
% 0.53/0.78  (step @p373 :rule refl :args ((tptp.in @t4 @t488)))
% 0.53/0.78  (step @p374 :rule refl :args ((tptp.dsetconstr @t235 @t479)))
% 0.53/0.78  (step @p375 :rule refl :args (@t479))
% 0.53/0.78  (step @p376 :rule refl :args (@t267))
% 0.53/0.78  (step @p377 :rule cong :premises (@p376 @p375) :args (@t480))
% 0.53/0.78  (step @p378 :rule trans :premises (@p377 @p374))
% 0.53/0.78  (step @p379 :rule cong :premises (@p126 @p378) :args (@t481))
% 0.53/0.78  (step @p380 :rule trans :premises (@p379 @p373))
% 0.53/0.78  (step @p381 :rule ho_cong :premises (@p129 @p378))
% 0.53/0.78  (step @p382 :rule cong :premises (@p381 @p380) :args ((= (_ @t5 @t480) @t481)))
% 0.53/0.78  (step @p383 :rule symm :premises (@p382))
% 0.53/0.78  (step @p384 :rule refl :args (@t489))
% 0.53/0.78  (step @p385 :rule eq_resolve :premises (@p384 @p383))
% 0.53/0.78  (step @p386 :rule refl :args (tptp.dsetconstr))
% 0.53/0.78  (step @p387 :rule ho_cong :premises (@p386 @p376))
% 0.53/0.78  (step @p388 :rule ho_cong :premises (@p387 @p375))
% 0.53/0.78  (step @p389 :rule cong :premises (@p388 @p378) :args ((= (_ (_ tptp.dsetconstr @t267) @t479) @t480)))
% 0.53/0.78  (step @p390 :rule symm :premises (@p389))
% 0.53/0.78  (step @p391 :rule refl :args (@t488))
% 0.53/0.78  (step @p392 :rule eq_resolve :premises (@p391 @p390))
% 0.53/0.78  (step @p393 :rule refl :args (@t235))
% 0.53/0.78  (step @p394 :rule cong :premises (@p393 @p376) :args ((= @t235 @t267)))
% 0.53/0.78  (step @p395 :rule symm :premises (@p394))
% 0.53/0.78  (step @p396 :rule eq_resolve :premises (@p393 @p395))
% 0.53/0.78  (step @p397 :rule ho_cong :premises (@p386 @p396))
% 0.53/0.78  (step @p398 :rule ho_cong :premises (@p397 @p375))
% 0.53/0.78  (step @p399 :rule trans :premises (@p398 @p392))
% 0.53/0.78  (step @p400 :rule ho_cong :premises (@p129 @p399))
% 0.53/0.78  (step @p401 :rule trans :premises (@p400 @p385))
% 0.53/0.78  (step @p402 :rule cong :premises (@p401) :args (@t490))
% 0.53/0.78  (step @p403 :rule nary_cong :premises (@p402 @p328) :args (@t491))
% 0.53/0.78  (step @p404 :rule cong :premises (@p403) :args ((forall @t172 @t491)))
% 0.53/0.78  (step @p405 :rule trans :premises (@p404 @p372))
% 0.53/0.78  (step @p406 :rule bool-impl-elim :args (@t489 @t170))
% 0.53/0.78  (step @p407 :rule cong :premises (@p406) :args ((forall @t172 (=> @t489 @t170))))
% 0.53/0.78  (step @p408 :rule trans :premises (@p407 @p405))
% 0.53/0.78  (step @p409 :rule alpha_equiv :args (@t234 @t435 @t474))
% 0.53/0.78  (step @p410 :rule refl :args (@t236))
% 0.53/0.78  (step @p411 :rule ho_cong :premises (@p410 @p409))
% 0.53/0.78  (step @p412 :rule ho_cong :premises (@p129 @p411))
% 0.53/0.78  (step @p413 :rule cong :premises (@p412 @p328) :args (@t492))
% 0.53/0.78  (step @p414 :rule cong :premises (@p413) :args ((forall @t172 @t492)))
% 0.53/0.78  (step @p415 :rule trans :premises (@p414 @p408))
% 0.53/0.78  (step @p416 :rule refl :args (@t170))
% 0.53/0.78  (step @p417 :rule beta-reduce :args ((= @t493 @t237)))
% 0.53/0.78  (step @p418 :rule refl :args (@t5))
% 0.53/0.78  (step @p419 :rule ho_cong :premises (@p418 @p417))
% 0.53/0.78  (step @p420 :rule cong :premises (@p419 @p416) :args (@t494))
% 0.53/0.78  (step @p421 :rule cong :premises (@p420) :args (@t495))
% 0.53/0.78  (step @p422 :rule trans :premises (@p421 @p415))
% 0.53/0.78  (step @p423 :rule refl :args (tptp.prop2setE))
% 0.53/0.78  (step @p424 :rule cong :premises (@p423 @p422) :args ((= tptp.prop2setE @t495)))
% 0.53/0.78  (step @p425 :rule ho_cong :premises (@p30 @p416))
% 0.53/0.78  (step @p426 :rule ho_cong :premises (@p418 @p425))
% 0.53/0.78  (step @p427 :rule cong :premises (@p426 @p416) :args (@t171))
% 0.53/0.78  (step @p428 :rule cong :premises (@p427) :args (@t173))
% 0.53/0.78  (step @p429 :rule cong :premises (@p423 @p428) :args (@t174))
% 0.53/0.78  (step @p430 :rule trans :premises (@p429 @p424))
% 0.53/0.78  (step @p431 :rule eq_resolve :premises (@p17 @p430))
% 0.53/0.78  (step @p432 :rule cong :premises (@p431 @p348) :args (@t496))
% 0.53/0.78  (step @p433 :rule bool-eq-true :args (tptp.exuE1))
% 0.53/0.78  (step @p434 :rule symm :premises (@p433))
% 0.53/0.78  (step @p435 :rule quant-unused-vars :args ((= (forall @t148 true) true)))
% 0.53/0.78  (step @p436 :rule bool-or-taut :args (false @t439 false false))
% 0.53/0.78  (step @p437 :rule refl :args (@t440))
% 0.53/0.78  (step @p438 :rule nary_cong :premises (@p243 @p437) :args ((or @t441 @t440)))
% 0.53/0.78  (step @p439 :rule bool-impl-elim :args (@t440 @t440))
% 0.53/0.78  (step @p440 :rule trans :premises (@p439 @p438))
% 0.53/0.78  (step @p441 :rule trans :premises (@p440 @p436))
% 0.53/0.78  (step @p442 :rule cong :premises (@p441) :args ((forall @t148 (=> @t440 @t440))))
% 0.53/0.78  (step @p443 :rule trans :premises (@p442 @p435))
% 0.53/0.78  (step @p444 :rule cong :premises (@p275 @p295) :args (@t497))
% 0.53/0.78  (step @p445 :rule cong :premises (@p444) :args (@t498))
% 0.53/0.78  (step @p446 :rule trans :premises (@p445 @p443))
% 0.53/0.78  (step @p447 :rule refl :args (tptp.exuE1))
% 0.53/0.78  (step @p448 :rule cong :premises (@p447 @p446) :args ((= tptp.exuE1 @t498)))
% 0.53/0.78  (step @p449 :rule trans :premises (@p448 @p433))
% 0.53/0.78  (step @p450 :rule refl :args (@t166))
% 0.53/0.78  (step @p451 :rule cong :premises (@p298 @p450) :args (@t167))
% 0.53/0.78  (step @p452 :rule cong :premises (@p451) :args (@t168))
% 0.53/0.78  (step @p453 :rule cong :premises (@p447 @p452) :args (@t169))
% 0.53/0.78  (step @p454 :rule trans :premises (@p453 @p449))
% 0.53/0.78  (step @p455 :rule eq_resolve :premises (@p16 @p454))
% 0.53/0.78  (step @p456 :rule eq_resolve :premises (@p455 @p434))
% 0.53/0.78  (step @p457 :rule cong :premises (@p456 @p432) :args (@t499))
% 0.53/0.78  (step @p458 :rule cong :premises (@p113) :args (@t500))
% 0.53/0.78  (step @p459 :rule nary_cong :premises (@p458 @p114) :args (@t501))
% 0.53/0.78  (step @p460 :rule cong :premises (@p459) :args ((forall @t157 @t501)))
% 0.53/0.78  (step @p461 :rule cong :premises (@p149) :args (@t502))
% 0.53/0.78  (step @p462 :rule nary_cong :premises (@p461 @p154) :args (@t503))
% 0.53/0.78  (step @p463 :rule cong :premises (@p462) :args ((forall @t157 @t503)))
% 0.53/0.78  (step @p464 :rule trans :premises (@p463 @p460))
% 0.53/0.78  (step @p465 :rule bool-impl-elim :args (@t155 @t142))
% 0.53/0.78  (step @p466 :rule cong :premises (@p465) :args (@t162))
% 0.53/0.78  (step @p467 :rule trans :premises (@p466 @p464))
% 0.53/0.78  (step @p468 :rule refl :args (tptp.dsetconstrER))
% 0.53/0.78  (step @p469 :rule cong :premises (@p468 @p467) :args (@t163))
% 0.53/0.78  (step @p470 :rule eq_resolve :premises (@p15 @p469))
% 0.53/0.78  (step @p471 :rule cong :premises (@p470 @p457) :args (@t504))
% 0.53/0.78  (step @p472 :rule refl :args (@t243))
% 0.53/0.78  (step @p473 :rule nary_cong :premises (@p458 @p472) :args (@t505))
% 0.53/0.78  (step @p474 :rule cong :premises (@p473) :args ((forall @t157 @t505)))
% 0.53/0.78  (step @p475 :rule nary_cong :premises (@p461 @p89) :args (@t506))
% 0.53/0.78  (step @p476 :rule cong :premises (@p475) :args ((forall @t157 @t506)))
% 0.53/0.78  (step @p477 :rule trans :premises (@p476 @p474))
% 0.53/0.78  (step @p478 :rule bool-impl-elim :args (@t155 @t7))
% 0.53/0.78  (step @p479 :rule cong :premises (@p478) :args (@t160))
% 0.53/0.78  (step @p480 :rule trans :premises (@p479 @p477))
% 0.53/0.78  (step @p481 :rule refl :args (tptp.dsetconstrEL))
% 0.53/0.78  (step @p482 :rule cong :premises (@p481 @p480) :args (@t161))
% 0.53/0.78  (step @p483 :rule eq_resolve :premises (@p14 @p482))
% 0.53/0.78  (step @p484 :rule cong :premises (@p483 @p471) :args (@t507))
% 0.53/0.78  (step @p485 :rule refl :args (@t242))
% 0.53/0.78  (step @p486 :rule nary_cong :premises (@p116 @p485 @p113) :args (@t508))
% 0.53/0.78  (step @p487 :rule cong :premises (@p486) :args ((forall @t157 @t508)))
% 0.53/0.78  (step @p488 :rule nary_cong :premises (@p90 @p249 @p149) :args (@t509))
% 0.53/0.78  (step @p489 :rule cong :premises (@p488) :args ((forall @t157 @t509)))
% 0.53/0.78  (step @p490 :rule trans :premises (@p489 @p487))
% 0.53/0.78  (step @p491 :rule aci_norm :args ((= (or @t192 (or @t442 @t155)) @t509)))
% 0.53/0.78  (step @p492 :rule bool-impl-elim :args (@t142 @t155))
% 0.53/0.78  (step @p493 :rule refl :args (@t192))
% 0.53/0.78  (step @p494 :rule nary_cong :premises (@p493 @p492) :args ((or @t192 @t156)))
% 0.53/0.78  (step @p495 :rule trans :premises (@p494 @p491))
% 0.53/0.78  (step @p496 :rule bool-impl-elim :args (@t7 @t156))
% 0.53/0.78  (step @p497 :rule trans :premises (@p496 @p495))
% 0.53/0.78  (step @p498 :rule cong :premises (@p497) :args (@t158))
% 0.53/0.78  (step @p499 :rule trans :premises (@p498 @p490))
% 0.53/0.78  (step @p500 :rule refl :args (tptp.dsetconstrI))
% 0.53/0.78  (step @p501 :rule cong :premises (@p500 @p499) :args (@t159))
% 0.53/0.78  (step @p502 :rule eq_resolve :premises (@p13 @p501))
% 0.53/0.78  (step @p503 :rule cong :premises (@p502 @p484) :args (@t510))
% 0.53/0.78  (step @p504 :rule eq-symm :args (@t273 @t19))
% 0.53/0.78  (step @p505 :rule nary_cong :premises (@p223 @p504) :args (@t511))
% 0.53/0.78  (step @p506 :rule cong :premises (@p505) :args (@t512))
% 0.53/0.78  (step @p507 :rule cong :premises (@p506) :args (@t513))
% 0.53/0.78  (step @p508 :rule refl :args (@t274))
% 0.53/0.78  (step @p509 :rule refl :args (@t275))
% 0.53/0.78  (step @p510 :rule nary_cong :premises (@p509 @p508 @p507) :args (@t514))
% 0.53/0.78  (step @p511 :rule aci_norm :args ((= @t516 @t514)))
% 0.53/0.78  (step @p512 :rule trans :premises (@p511 @p510))
% 0.53/0.78  (step @p513 :rule cong :premises (@p512) :args (@t517))
% 0.53/0.78  (step @p514 :rule quant-merge-prenex :args ((= (forall @t148 @t519) @t517)))
% 0.53/0.78  (step @p515 :rule refl :args (@t275))
% 0.53/0.78  (step @p516 :rule alpha_equiv :args (@t520 (@list @t273) @t435))
% 0.53/0.78  (step @p517 :rule nary_cong :premises (@p516 @p515) :args (@t521))
% 0.53/0.78  (step @p518 :rule quant-miniscope-or :args ((= @t519 @t521)))
% 0.53/0.78  (step @p519 :rule trans :premises (@p518 @p517))
% 0.53/0.78  (step @p520 :rule symm :premises (@p519))
% 0.53/0.78  (step @p521 :rule cong :premises (@p520) :args ((forall @t148 (or @t439 @t275))))
% 0.53/0.78  (step @p522 :rule trans :premises (@p521 @p514))
% 0.53/0.78  (step @p523 :rule trans :premises (@p522 @p513))
% 0.53/0.78  (step @p524 :rule lambda-elim :args ((= @t522 @t141)))
% 0.53/0.78  (step @p525 :rule cong :premises (@p524) :args (@t523))
% 0.53/0.78  (step @p526 :rule cong :premises (@p525) :args (@t524))
% 0.53/0.78  (step @p527 :rule refl :args (@t439))
% 0.53/0.78  (step @p528 :rule nary_cong :premises (@p527 @p526) :args (@t525))
% 0.53/0.78  (step @p529 :rule cong :premises (@p528) :args ((forall @t148 @t525)))
% 0.53/0.78  (step @p530 :rule trans :premises (@p529 @p523))
% 0.53/0.78  (step @p531 :rule refl :args ((_ @t141 @t144)))
% 0.53/0.78  (step @p532 :rule refl :args ((tptp.descr @t143)))
% 0.53/0.78  (step @p533 :rule cong :premises (@p150) :args (@t522))
% 0.53/0.78  (step @p534 :rule cong :premises (@p533) :args (@t523))
% 0.53/0.78  (step @p535 :rule trans :premises (@p534 @p532))
% 0.53/0.78  (step @p536 :rule cong :premises (@p535) :args (@t524))
% 0.53/0.78  (step @p537 :rule trans :premises (@p536 @p531))
% 0.53/0.78  (step @p538 :rule refl :args (@t141))
% 0.53/0.78  (step @p539 :rule ho_cong :premises (@p538 @p535))
% 0.53/0.78  (step @p540 :rule cong :premises (@p539 @p537) :args ((= (_ @t141 @t523) @t524)))
% 0.53/0.78  (step @p541 :rule symm :premises (@p540))
% 0.53/0.78  (step @p542 :rule refl :args (@t145))
% 0.53/0.78  (step @p543 :rule eq_resolve :premises (@p542 @p541))
% 0.53/0.78  (step @p544 :rule refl :args (tptp.descr))
% 0.53/0.78  (step @p545 :rule ho_cong :premises (@p544 @p533))
% 0.53/0.78  (step @p546 :rule cong :premises (@p545 @p535) :args ((= (_ tptp.descr @t522) @t523)))
% 0.53/0.78  (step @p547 :rule symm :premises (@p546))
% 0.53/0.78  (step @p548 :rule refl :args (@t144))
% 0.53/0.78  (step @p549 :rule eq_resolve :premises (@p548 @p547))
% 0.53/0.78  (step @p550 :rule cong :premises (@p154) :args (@t143))
% 0.53/0.78  (step @p551 :rule ho_cong :premises (@p544 @p550))
% 0.53/0.78  (step @p552 :rule trans :premises (@p551 @p549))
% 0.53/0.78  (step @p553 :rule ho_cong :premises (@p538 @p552))
% 0.53/0.78  (step @p554 :rule trans :premises (@p553 @p543))
% 0.53/0.78  (step @p555 :rule refl :args (@t439))
% 0.53/0.78  (step @p556 :rule nary_cong :premises (@p555 @p554) :args (@t526))
% 0.53/0.78  (step @p557 :rule cong :premises (@p556) :args ((forall @t148 @t526)))
% 0.53/0.78  (step @p558 :rule trans :premises (@p557 @p530))
% 0.53/0.78  (step @p559 :rule nary_cong :premises (@p243 @p542) :args ((or @t441 @t145)))
% 0.53/0.78  (step @p560 :rule bool-impl-elim :args (@t440 @t145))
% 0.53/0.78  (step @p561 :rule trans :premises (@p560 @p559))
% 0.53/0.78  (step @p562 :rule cong :premises (@p561) :args ((forall @t148 (=> @t440 @t145))))
% 0.53/0.78  (step @p563 :rule trans :premises (@p562 @p558))
% 0.53/0.78  (step @p564 :rule refl :args (@t145))
% 0.53/0.78  (step @p565 :rule cong :premises (@p275 @p564) :args (@t527))
% 0.53/0.78  (step @p566 :rule cong :premises (@p565) :args (@t528))
% 0.53/0.78  (step @p567 :rule trans :premises (@p566 @p563))
% 0.53/0.78  (step @p568 :rule refl :args (tptp.descrp))
% 0.53/0.78  (step @p569 :rule cong :premises (@p568 @p567) :args ((= tptp.descrp @t528)))
% 0.53/0.78  (step @p570 :rule cong :premises (@p298 @p564) :args (@t147))
% 0.53/0.78  (step @p571 :rule cong :premises (@p570) :args (@t149))
% 0.53/0.78  (step @p572 :rule cong :premises (@p568 @p571) :args (@t150))
% 0.53/0.78  (step @p573 :rule trans :premises (@p572 @p569))
% 0.53/0.78  (step @p574 :rule eq_resolve :premises (@p12 @p573))
% 0.53/0.78  (step @p575 :rule cong :premises (@p574 @p503) :args (@t529))
% 0.53/0.78  (step @p576 :rule aci_norm :args ((= (or @t328 (or @t321 (or @t315 @t303))) @t329)))
% 0.53/0.78  (step @p577 :rule bool-and-de-morgan :args (@t314 @t302 true))
% 0.53/0.78  (step @p578 :rule refl :args (@t321))
% 0.53/0.78  (step @p579 :rule nary_cong :premises (@p578 @p577) :args ((or @t321 (not (and @t314 @t302)))))
% 0.53/0.78  (step @p580 :rule bool-and-de-morgan :args (@t320 @t314 (and @t302)))
% 0.53/0.78  (step @p581 :rule trans :premises (@p580 @p579))
% 0.53/0.78  (step @p582 :rule refl :args (@t328))
% 0.53/0.78  (step @p583 :rule nary_cong :premises (@p582 @p581) :args ((or @t328 (not (and @t320 @t314 @t302)))))
% 0.53/0.78  (step @p584 :rule bool-and-de-morgan :args (@t327 @t320 (and @t314 @t302)))
% 0.53/0.78  (step @p585 :rule trans :premises (@p584 @p583))
% 0.53/0.78  (step @p586 :rule trans :premises (@p585 @p576))
% 0.53/0.78  (step @p587 :rule cong :premises (@p586) :args (@t531))
% 0.53/0.78  (step @p588 :rule cong :premises (@p587) :args (@t532))
% 0.53/0.78  (step @p589 :rule exists-elim :args ((= (exists @t39 @t530) @t532)))
% 0.53/0.78  (step @p590 :rule trans :premises (@p589 @p588))
% 0.53/0.78  (step @p591 :rule quant-merge-prenex :args ((= (forall @t116 @t534) @t302)))
% 0.53/0.78  (step @p592 :rule refl :args (@t296))
% 0.53/0.78  (step @p593 :rule alpha_equiv :args (@t535 (@list @t297) @t435))
% 0.53/0.78  (step @p594 :rule refl :args (@t300))
% 0.53/0.78  (step @p595 :rule nary_cong :premises (@p594 @p593 @p592) :args (@t536))
% 0.53/0.78  (step @p596 :rule quant-miniscope-or :args ((= @t534 @t536)))
% 0.53/0.78  (step @p597 :rule trans :premises (@p596 @p595))
% 0.53/0.78  (step @p598 :rule symm :premises (@p597))
% 0.53/0.78  (step @p599 :rule cong :premises (@p598) :args ((forall @t116 @t538)))
% 0.53/0.78  (step @p600 :rule trans :premises (@p599 @p591))
% 0.53/0.78  (step @p601 :rule aci_norm :args ((= (or (or @t300 @t537) @t296) @t538)))
% 0.53/0.78  (step @p602 :rule bool-double-not-elim :args (@t537))
% 0.53/0.78  (step @p603 :rule nary_cong :premises (@p594 @p602) :args ((or @t300 (not @t539))))
% 0.53/0.78  (step @p604 :rule bool-and-de-morgan :args (@t299 @t539 true))
% 0.53/0.78  (step @p605 :rule trans :premises (@p604 @p603))
% 0.53/0.78  (step @p606 :rule nary_cong :premises (@p605 @p592) :args ((or (not @t540) @t296)))
% 0.53/0.78  (step @p607 :rule trans :premises (@p606 @p601))
% 0.53/0.78  (step @p608 :rule bool-impl-elim :args (@t540 @t296))
% 0.53/0.78  (step @p609 :rule trans :premises (@p608 @p607))
% 0.53/0.78  (step @p610 :rule cong :premises (@p609) :args ((forall @t116 (=> @t540 @t296))))
% 0.53/0.78  (step @p611 :rule trans :premises (@p610 @p600))
% 0.53/0.78  (step @p612 :rule refl :args (@t287))
% 0.53/0.78  (step @p613 :rule refl :args (@t291))
% 0.53/0.78  (step @p614 :rule refl :args (@t292))
% 0.53/0.78  (step @p615 :rule refl :args (@t107))
% 0.53/0.78  (step @p616 :rule cong :premises (@p615 @p614) :args ((= @t107 @t292)))
% 0.53/0.78  (step @p617 :rule symm :premises (@p616))
% 0.53/0.78  (step @p618 :rule eq_resolve :premises (@p615 @p617))
% 0.53/0.78  (step @p619 :rule cong :premises (@p618) :args (@t541))
% 0.53/0.78  (step @p620 :rule refl :args (@t294))
% 0.53/0.78  (step @p621 :rule refl :args (@t108))
% 0.53/0.78  (step @p622 :rule cong :premises (@p621 @p620) :args ((= @t108 @t294)))
% 0.53/0.78  (step @p623 :rule symm :premises (@p622))
% 0.53/0.78  (step @p624 :rule eq_resolve :premises (@p621 @p623))
% 0.53/0.78  (step @p625 :rule cong :premises (@p624) :args (@t542))
% 0.53/0.78  (step @p626 :rule nary_cong :premises (@p625 @p619 @p613 @p612) :args (@t543))
% 0.53/0.78  (step @p627 :rule cong :premises (@p626) :args ((forall @t110 @t543)))
% 0.53/0.78  (step @p628 :rule aci_norm :args ((= (or @t542 (or @t541 (or @t291 @t287))) @t543)))
% 0.53/0.78  (step @p629 :rule bool-and-de-morgan :args (@t290 @t286 true))
% 0.53/0.78  (step @p630 :rule refl :args (@t541))
% 0.53/0.78  (step @p631 :rule nary_cong :premises (@p630 @p629) :args ((or @t541 (not (and @t290 @t286)))))
% 0.53/0.78  (step @p632 :rule bool-and-de-morgan :args (@t107 @t290 (and @t286)))
% 0.53/0.78  (step @p633 :rule trans :premises (@p632 @p631))
% 0.53/0.78  (step @p634 :rule refl :args (@t542))
% 0.53/0.78  (step @p635 :rule nary_cong :premises (@p634 @p633) :args ((or @t542 (not (and @t107 @t290 @t286)))))
% 0.53/0.78  (step @p636 :rule bool-and-de-morgan :args (@t108 @t107 (and @t290 @t286)))
% 0.53/0.78  (step @p637 :rule trans :premises (@p636 @p635))
% 0.53/0.78  (step @p638 :rule trans :premises (@p637 @p628))
% 0.53/0.78  (step @p639 :rule cong :premises (@p638) :args (@t545))
% 0.53/0.78  (step @p640 :rule trans :premises (@p639 @p627))
% 0.53/0.78  (step @p641 :rule cong :premises (@p640) :args (@t546))
% 0.53/0.78  (step @p642 :rule exists-elim :args ((= (exists @t110 @t544) @t546)))
% 0.53/0.78  (step @p643 :rule trans :premises (@p642 @p641))
% 0.53/0.78  (step @p644 :rule aci_norm :args ((= @t548 @t284)))
% 0.53/0.78  (step @p645 :rule cong :premises (@p644) :args (@t549))
% 0.53/0.78  (step @p646 :rule quant-merge-prenex :args ((= (forall @t100 @t551) @t549)))
% 0.53/0.78  (step @p647 :rule refl :args (@t281))
% 0.53/0.78  (step @p648 :rule alpha_equiv :args (@t552 (@list @t278) (@list @t19)))
% 0.53/0.78  (step @p649 :rule refl :args (@t283))
% 0.53/0.78  (step @p650 :rule nary_cong :premises (@p649 @p648 @p647) :args (@t553))
% 0.53/0.78  (step @p651 :rule quant-miniscope-or :args ((= @t551 @t553)))
% 0.53/0.78  (step @p652 :rule trans :premises (@p651 @p650))
% 0.53/0.78  (step @p653 :rule symm :premises (@p652))
% 0.53/0.78  (step @p654 :rule cong :premises (@p653) :args ((forall @t100 (or @t283 @t555 @t281))))
% 0.53/0.78  (step @p655 :rule trans :premises (@p654 @p646))
% 0.53/0.78  (step @p656 :rule trans :premises (@p655 @p645))
% 0.53/0.78  (step @p657 :rule refl :args (@t281))
% 0.53/0.78  (step @p658 :rule refl :args (@t92))
% 0.53/0.78  (step @p659 :rule cong :premises (@p658 @p657) :args ((= @t92 @t281)))
% 0.53/0.78  (step @p660 :rule symm :premises (@p659))
% 0.53/0.78  (step @p661 :rule eq_resolve :premises (@p658 @p660))
% 0.53/0.78  (step @p662 :rule refl :args (@t555))
% 0.53/0.78  (step @p663 :rule refl :args (@t282))
% 0.53/0.78  (step @p664 :rule refl :args (@t98))
% 0.53/0.78  (step @p665 :rule cong :premises (@p664 @p663) :args ((= @t98 @t282)))
% 0.53/0.78  (step @p666 :rule symm :premises (@p665))
% 0.53/0.78  (step @p667 :rule eq_resolve :premises (@p664 @p666))
% 0.53/0.78  (step @p668 :rule cong :premises (@p667) :args (@t556))
% 0.53/0.78  (step @p669 :rule nary_cong :premises (@p668 @p662 @p661) :args (@t557))
% 0.53/0.78  (step @p670 :rule cong :premises (@p669) :args ((forall @t100 @t557)))
% 0.53/0.78  (step @p671 :rule trans :premises (@p670 @p656))
% 0.53/0.78  (step @p672 :rule aci_norm :args ((= (or @t556 @t558) @t557)))
% 0.53/0.78  (step @p673 :rule bool-impl-elim :args (@t98 @t558))
% 0.53/0.78  (step @p674 :rule trans :premises (@p673 @p672))
% 0.53/0.78  (step @p675 :rule cong :premises (@p674) :args ((forall @t100 (=> @t98 @t558))))
% 0.53/0.78  (step @p676 :rule trans :premises (@p675 @p671))
% 0.53/0.78  (step @p677 :rule refl :args (@t92))
% 0.53/0.78  (step @p678 :rule refl :args (@t289))
% 0.53/0.78  (step @p679 :rule refl :args (@t94))
% 0.53/0.78  (step @p680 :rule cong :premises (@p679 @p678) :args ((= @t94 @t289)))
% 0.53/0.78  (step @p681 :rule symm :premises (@p680))
% 0.53/0.78  (step @p682 :rule eq_resolve :premises (@p679 @p681))
% 0.53/0.78  (step @p683 :rule refl :args (@t554))
% 0.53/0.78  (step @p684 :rule refl :args (@t95))
% 0.53/0.78  (step @p685 :rule cong :premises (@p684 @p683) :args ((= @t95 @t554)))
% 0.53/0.78  (step @p686 :rule symm :premises (@p685))
% 0.53/0.78  (step @p687 :rule eq_resolve :premises (@p684 @p686))
% 0.53/0.78  (step @p688 :rule cong :premises (@p687) :args (@t559))
% 0.53/0.78  (step @p689 :rule nary_cong :premises (@p688 @p682) :args (@t560))
% 0.53/0.78  (step @p690 :rule cong :premises (@p689) :args ((forall @t68 @t560)))
% 0.53/0.78  (step @p691 :rule bool-impl-elim :args (@t95 @t94))
% 0.53/0.78  (step @p692 :rule cong :premises (@p691) :args (@t96))
% 0.53/0.78  (step @p693 :rule trans :premises (@p692 @p690))
% 0.53/0.78  (step @p694 :rule nary_cong :premises (@p693 @p677) :args (@t97))
% 0.53/0.78  (step @p695 :rule refl :args (@t98))
% 0.53/0.78  (step @p696 :rule cong :premises (@p695 @p694) :args (@t99))
% 0.53/0.78  (step @p697 :rule cong :premises (@p696) :args (@t101))
% 0.53/0.78  (step @p698 :rule trans :premises (@p697 @p676))
% 0.53/0.78  (step @p699 :rule bool-double-not-elim :args (@t290))
% 0.53/0.78  (step @p700 :rule refl :args (@t288))
% 0.53/0.78  (step @p701 :rule refl :args (@t103))
% 0.53/0.78  (step @p702 :rule cong :premises (@p701 @p700) :args ((= @t103 @t288)))
% 0.53/0.78  (step @p703 :rule symm :premises (@p702))
% 0.53/0.78  (step @p704 :rule eq_resolve :premises (@p701 @p703))
% 0.53/0.78  (step @p705 :rule cong :premises (@p704) :args (@t561))
% 0.53/0.78  (step @p706 :rule cong :premises (@p682) :args (@t562))
% 0.53/0.78  (step @p707 :rule nary_cong :premises (@p706 @p705) :args (@t563))
% 0.53/0.78  (step @p708 :rule cong :premises (@p707) :args ((forall @t68 @t563)))
% 0.53/0.78  (step @p709 :rule bool-and-de-morgan :args (@t94 @t103 true))
% 0.53/0.78  (step @p710 :rule cong :premises (@p709) :args (@t564))
% 0.53/0.78  (step @p711 :rule trans :premises (@p710 @p708))
% 0.53/0.78  (step @p712 :rule cong :premises (@p711) :args (@t565))
% 0.53/0.78  (step @p713 :rule exists-elim :args ((= @t105 @t565)))
% 0.53/0.78  (step @p714 :rule trans :premises (@p713 @p712))
% 0.53/0.78  (step @p715 :rule cong :premises (@p714) :args (@t106))
% 0.53/0.78  (step @p716 :rule trans :premises (@p715 @p699))
% 0.53/0.78  (step @p717 :rule refl :args (@t107))
% 0.53/0.78  (step @p718 :rule refl :args (@t108))
% 0.53/0.78  (step @p719 :rule nary_cong :premises (@p718 @p717 @p716 @p698) :args (@t109))
% 0.53/0.78  (step @p720 :rule cong :premises (@p719) :args (@t111))
% 0.53/0.78  (step @p721 :rule trans :premises (@p720 @p643))
% 0.53/0.78  (step @p722 :rule cong :premises (@p619) :args (@t566))
% 0.53/0.78  (step @p723 :rule cong :premises (@p722) :args (@t567))
% 0.53/0.78  (step @p724 :rule exists-elim :args ((= @t112 @t567)))
% 0.53/0.78  (step @p725 :rule trans :premises (@p724 @p723))
% 0.53/0.78  (step @p726 :rule nary_cong :premises (@p619 @p89) :args (@t568))
% 0.53/0.78  (step @p727 :rule cong :premises (@p726) :args ((forall @t9 @t568)))
% 0.53/0.78  (step @p728 :rule bool-impl-elim :args (@t107 @t7))
% 0.53/0.78  (step @p729 :rule cong :premises (@p728) :args (@t113))
% 0.53/0.78  (step @p730 :rule trans :premises (@p729 @p727))
% 0.53/0.78  (step @p731 :rule nary_cong :premises (@p730 @p725) :args (@t114))
% 0.53/0.78  (step @p732 :rule cong :premises (@p731 @p721) :args (@t115))
% 0.53/0.78  (step @p733 :rule cong :premises (@p732) :args (@t117))
% 0.53/0.78  (step @p734 :rule trans :premises (@p733 @p611))
% 0.53/0.78  (step @p735 :rule aci_norm :args ((= @t571 @t312)))
% 0.53/0.78  (step @p736 :rule cong :premises (@p735) :args (@t572))
% 0.53/0.78  (step @p737 :rule quant-merge-prenex :args ((= (forall @t125 @t573) @t572)))
% 0.53/0.78  (step @p738 :rule alpha_equiv :args (@t574 (@list @t304) @t435))
% 0.53/0.78  (step @p739 :rule alpha_equiv :args (@t575 (@list @t307) @t435))
% 0.53/0.78  (step @p740 :rule refl :args (@t295))
% 0.53/0.78  (step @p741 :rule refl :args (@t311))
% 0.53/0.78  (step @p742 :rule nary_cong :premises (@p741 @p740 @p739 @p738) :args (@t576))
% 0.53/0.78  (step @p743 :rule quant-miniscope-or :args ((= @t573 @t576)))
% 0.53/0.78  (step @p744 :rule trans :premises (@p743 @p742))
% 0.53/0.78  (step @p745 :rule symm :premises (@p744))
% 0.53/0.78  (step @p746 :rule cong :premises (@p745) :args ((forall @t125 (or @t311 @t295 @t579 @t578))))
% 0.53/0.78  (step @p747 :rule trans :premises (@p746 @p737))
% 0.53/0.78  (step @p748 :rule trans :premises (@p747 @p736))
% 0.53/0.78  (step @p749 :rule refl :args (@t578))
% 0.53/0.78  (step @p750 :rule refl :args (@t579))
% 0.53/0.78  (step @p751 :rule refl :args (@t310))
% 0.53/0.78  (step @p752 :rule refl :args (@t122))
% 0.53/0.78  (step @p753 :rule cong :premises (@p752 @p751) :args ((= @t122 @t310)))
% 0.53/0.78  (step @p754 :rule symm :premises (@p753))
% 0.53/0.78  (step @p755 :rule eq_resolve :premises (@p752 @p754))
% 0.53/0.78  (step @p756 :rule cong :premises (@p755) :args (@t580))
% 0.53/0.78  (step @p757 :rule nary_cong :premises (@p756 @p625 @p750 @p749) :args (@t581))
% 0.53/0.78  (step @p758 :rule cong :premises (@p757) :args ((forall @t125 @t581)))
% 0.53/0.78  (step @p759 :rule trans :premises (@p758 @p748))
% 0.53/0.78  (step @p760 :rule aci_norm :args ((= (or (or @t580 @t542) @t582) @t581)))
% 0.53/0.78  (step @p761 :rule refl :args (@t582))
% 0.53/0.78  (step @p762 :rule bool-and-de-morgan :args (@t122 @t108 true))
% 0.53/0.78  (step @p763 :rule nary_cong :premises (@p762 @p761) :args ((or (not @t123) @t582)))
% 0.53/0.78  (step @p764 :rule trans :premises (@p763 @p760))
% 0.53/0.78  (step @p765 :rule bool-impl-elim :args (@t123 @t582))
% 0.53/0.78  (step @p766 :rule trans :premises (@p765 @p764))
% 0.53/0.78  (step @p767 :rule cong :premises (@p766) :args ((forall @t125 (=> @t123 @t582))))
% 0.53/0.78  (step @p768 :rule trans :premises (@p767 @p759))
% 0.53/0.78  (step @p769 :rule refl :args (@t577))
% 0.53/0.78  (step @p770 :rule refl :args (@t118))
% 0.53/0.78  (step @p771 :rule cong :premises (@p770 @p769) :args ((= @t118 @t577)))
% 0.53/0.78  (step @p772 :rule symm :premises (@p771))
% 0.53/0.78  (step @p773 :rule eq_resolve :premises (@p770 @p772))
% 0.53/0.78  (step @p774 :rule cong :premises (@p773) :args (@t583))
% 0.53/0.78  (step @p775 :rule nary_cong :premises (@p774 @p618) :args (@t584))
% 0.53/0.78  (step @p776 :rule cong :premises (@p775) :args ((forall @t9 @t584)))
% 0.53/0.78  (step @p777 :rule bool-impl-elim :args (@t118 @t107))
% 0.53/0.78  (step @p778 :rule cong :premises (@p777) :args (@t119))
% 0.53/0.78  (step @p779 :rule trans :premises (@p778 @p776))
% 0.53/0.78  (step @p780 :rule nary_cong :premises (@p619 @p773) :args (@t585))
% 0.53/0.78  (step @p781 :rule cong :premises (@p780) :args ((forall @t9 @t585)))
% 0.53/0.78  (step @p782 :rule bool-impl-elim :args (@t107 @t118))
% 0.53/0.78  (step @p783 :rule cong :premises (@p782) :args (@t120))
% 0.53/0.78  (step @p784 :rule trans :premises (@p783 @p781))
% 0.53/0.78  (step @p785 :rule nary_cong :premises (@p784 @p779) :args (@t121))
% 0.53/0.78  (step @p786 :rule refl :args (@t123))
% 0.53/0.78  (step @p787 :rule cong :premises (@p786 @p785) :args (@t124))
% 0.53/0.78  (step @p788 :rule cong :premises (@p787) :args (@t126))
% 0.53/0.78  (step @p789 :rule trans :premises (@p788 @p768))
% 0.53/0.78  (step @p790 :rule refl :args (@t317))
% 0.53/0.78  (step @p791 :rule refl :args (@t318))
% 0.53/0.78  (step @p792 :rule refl :args (@t21))
% 0.53/0.78  (step @p793 :rule cong :premises (@p792 @p791) :args ((= @t21 @t318)))
% 0.53/0.78  (step @p794 :rule symm :premises (@p793))
% 0.53/0.78  (step @p795 :rule eq_resolve :premises (@p792 @p794))
% 0.53/0.78  (step @p796 :rule cong :premises (@p795) :args (@t586))
% 0.53/0.78  (step @p797 :rule nary_cong :premises (@p90 @p796 @p790 @p257) :args (@t587))
% 0.53/0.78  (step @p798 :rule cong :premises (@p797) :args ((forall @t133 @t587)))
% 0.53/0.78  (step @p799 :rule aci_norm :args ((= (or (or @t192 @t586) (or @t317 @t127)) @t587)))
% 0.53/0.78  (step @p800 :rule bool-impl-elim :args (@t316 @t127))
% 0.53/0.78  (step @p801 :rule bool-and-de-morgan :args (@t7 @t21 true))
% 0.53/0.78  (step @p802 :rule nary_cong :premises (@p801 @p800) :args ((or (not @t131) @t588)))
% 0.53/0.78  (step @p803 :rule trans :premises (@p802 @p799))
% 0.53/0.78  (step @p804 :rule bool-impl-elim :args (@t131 @t588))
% 0.53/0.78  (step @p805 :rule trans :premises (@p804 @p803))
% 0.53/0.78  (step @p806 :rule cong :premises (@p805) :args ((forall @t133 (=> @t131 @t588))))
% 0.53/0.78  (step @p807 :rule trans :premises (@p806 @p798))
% 0.53/0.78  (step @p808 :rule cong :premises (@p618 @p704) :args (@t128))
% 0.53/0.78  (step @p809 :rule nary_cong :premises (@p756 @p808) :args (@t589))
% 0.53/0.78  (step @p810 :rule cong :premises (@p809) :args ((forall @t116 @t589)))
% 0.53/0.78  (step @p811 :rule bool-impl-elim :args (@t122 @t128))
% 0.53/0.78  (step @p812 :rule cong :premises (@p811) :args (@t129))
% 0.53/0.78  (step @p813 :rule trans :premises (@p812 @p810))
% 0.53/0.78  (step @p814 :rule cong :premises (@p813 @p261) :args (@t130))
% 0.53/0.78  (step @p815 :rule refl :args (@t131))
% 0.53/0.78  (step @p816 :rule cong :premises (@p815 @p814) :args (@t132))
% 0.53/0.78  (step @p817 :rule cong :premises (@p816) :args (@t134))
% 0.53/0.78  (step @p818 :rule trans :premises (@p817 @p807))
% 0.53/0.78  (step @p819 :rule aci_norm :args ((= @t591 @t325)))
% 0.53/0.78  (step @p820 :rule cong :premises (@p819) :args (@t592))
% 0.53/0.78  (step @p821 :rule quant-merge-prenex :args ((= (forall @t116 @t594) @t592)))
% 0.53/0.78  (step @p822 :rule alpha_equiv :args (@t595 (@list @t322) @t435))
% 0.53/0.78  (step @p823 :rule nary_cong :premises (@p741 @p822) :args (@t596))
% 0.53/0.78  (step @p824 :rule quant-miniscope-or :args ((= @t594 @t596)))
% 0.53/0.78  (step @p825 :rule trans :premises (@p824 @p823))
% 0.53/0.78  (step @p826 :rule symm :premises (@p825))
% 0.53/0.78  (step @p827 :rule cong :premises (@p826) :args ((forall @t116 (or @t311 @t299))))
% 0.53/0.78  (step @p828 :rule trans :premises (@p827 @p821))
% 0.53/0.78  (step @p829 :rule trans :premises (@p828 @p820))
% 0.53/0.78  (step @p830 :rule refl :args (@t299))
% 0.53/0.78  (step @p831 :rule nary_cong :premises (@p756 @p830) :args (@t597))
% 0.53/0.78  (step @p832 :rule cong :premises (@p831) :args ((forall @t116 @t597)))
% 0.53/0.78  (step @p833 :rule trans :premises (@p832 @p829))
% 0.53/0.78  (step @p834 :rule bool-impl-elim :args (@t122 @t299))
% 0.53/0.78  (step @p835 :rule cong :premises (@p834) :args ((forall @t116 (=> @t122 @t299))))
% 0.53/0.78  (step @p836 :rule trans :premises (@p835 @p833))
% 0.53/0.78  (step @p837 :rule refl :args (@t122))
% 0.53/0.78  (step @p838 :rule cong :premises (@p837 @p730) :args (@t135))
% 0.53/0.78  (step @p839 :rule cong :premises (@p838) :args (@t136))
% 0.53/0.78  (step @p840 :rule trans :premises (@p839 @p836))
% 0.53/0.78  (step @p841 :rule nary_cong :premises (@p840 @p818 @p789 @p734) :args (@t137))
% 0.53/0.78  (step @p842 :rule cong :premises (@p841) :args (@t138))
% 0.53/0.78  (step @p843 :rule trans :premises (@p842 @p590))
% 0.53/0.78  (step @p844 :rule cong :premises (@p843) :args (@t139))
% 0.53/0.78  (step @p845 :rule refl :args (tptp.wellorderingAx))
% 0.53/0.78  (step @p846 :rule cong :premises (@p845 @p844) :args (@t140))
% 0.53/0.78  (step @p847 :rule eq_resolve :premises (@p11 @p846))
% 0.53/0.78  (step @p848 :rule cong :premises (@p847 @p575) :args (@t598))
% 0.53/0.78  (step @p849 :rule quant-merge-prenex :args ((= (forall @t62 @t600) @t339)))
% 0.53/0.78  (step @p850 :rule refl :args (@t335))
% 0.53/0.78  (step @p851 :rule alpha_equiv :args (@t601 (@list @t336) @t435))
% 0.53/0.78  (step @p852 :rule nary_cong :premises (@p851 @p850) :args (@t602))
% 0.53/0.78  (step @p853 :rule quant-miniscope-or :args ((= @t600 @t602)))
% 0.53/0.78  (step @p854 :rule trans :premises (@p853 @p852))
% 0.53/0.78  (step @p855 :rule symm :premises (@p854))
% 0.53/0.78  (step @p856 :rule cong :premises (@p855) :args ((forall @t62 (or @t246 @t335))))
% 0.53/0.78  (step @p857 :rule trans :premises (@p856 @p849))
% 0.53/0.78  (step @p858 :rule bool-double-not-elim :args (@t246))
% 0.53/0.78  (step @p859 :rule nary_cong :premises (@p858 @p850) :args ((or (not @t247) @t335)))
% 0.53/0.78  (step @p860 :rule bool-impl-elim :args (@t247 @t335))
% 0.53/0.78  (step @p861 :rule trans :premises (@p860 @p859))
% 0.53/0.78  (step @p862 :rule cong :premises (@p861) :args ((forall @t62 (=> @t247 @t335))))
% 0.53/0.78  (step @p863 :rule trans :premises (@p862 @p857))
% 0.53/0.78  (step @p864 :rule refl :args (@t332))
% 0.53/0.78  (step @p865 :rule refl :args (@t333))
% 0.53/0.78  (step @p866 :rule refl :args (@t37))
% 0.53/0.78  (step @p867 :rule cong :premises (@p866 @p865) :args ((= @t37 @t333)))
% 0.53/0.78  (step @p868 :rule symm :premises (@p867))
% 0.53/0.78  (step @p869 :rule eq_resolve :premises (@p866 @p868))
% 0.53/0.78  (step @p870 :rule cong :premises (@p869) :args (@t603))
% 0.53/0.78  (step @p871 :rule nary_cong :premises (@p870 @p864) :args (@t604))
% 0.53/0.78  (step @p872 :rule cong :premises (@p871) :args ((forall @t39 @t604)))
% 0.53/0.78  (step @p873 :rule bool-and-de-morgan :args (@t37 @t331 true))
% 0.53/0.78  (step @p874 :rule cong :premises (@p873) :args (@t606))
% 0.53/0.78  (step @p875 :rule trans :premises (@p874 @p872))
% 0.53/0.78  (step @p876 :rule cong :premises (@p875) :args (@t607))
% 0.53/0.78  (step @p877 :rule exists-elim :args ((= (exists @t39 @t605) @t607)))
% 0.53/0.78  (step @p878 :rule trans :premises (@p877 @p876))
% 0.53/0.78  (step @p879 :rule bool-double-not-elim :args (@t331))
% 0.53/0.78  (step @p880 :rule nary_cong :premises (@p203 @p90) :args (@t608))
% 0.53/0.78  (step @p881 :rule cong :premises (@p880) :args ((forall @t9 @t608)))
% 0.53/0.78  (step @p882 :rule bool-and-de-morgan :args (@t6 @t7 true))
% 0.53/0.78  (step @p883 :rule cong :premises (@p882) :args (@t609))
% 0.53/0.78  (step @p884 :rule trans :premises (@p883 @p881))
% 0.53/0.78  (step @p885 :rule cong :premises (@p884) :args (@t610))
% 0.53/0.78  (step @p886 :rule exists-elim :args ((= @t83 @t610)))
% 0.53/0.78  (step @p887 :rule trans :premises (@p886 @p885))
% 0.53/0.78  (step @p888 :rule cong :premises (@p887) :args (@t84))
% 0.53/0.78  (step @p889 :rule trans :premises (@p888 @p879))
% 0.53/0.78  (step @p890 :rule refl :args (@t37))
% 0.53/0.78  (step @p891 :rule nary_cong :premises (@p890 @p889) :args (@t85))
% 0.53/0.78  (step @p892 :rule cong :premises (@p891) :args (@t86))
% 0.53/0.78  (step @p893 :rule trans :premises (@p892 @p878))
% 0.53/0.78  (step @p894 :rule cong :premises (@p94 @p893) :args (@t88))
% 0.53/0.78  (step @p895 :rule cong :premises (@p894) :args (@t89))
% 0.53/0.78  (step @p896 :rule trans :premises (@p895 @p863))
% 0.53/0.78  (step @p897 :rule refl :args (tptp.foundationAx))
% 0.53/0.78  (step @p898 :rule cong :premises (@p897 @p896) :args (@t90))
% 0.53/0.78  (step @p899 :rule eq_resolve :premises (@p10 @p898))
% 0.53/0.78  (step @p900 :rule cong :premises (@p899 @p848) :args (@t611))
% 0.53/0.78  (step @p901 :rule bool-impl-elim :args (@t351 @t343))
% 0.53/0.78  (step @p902 :rule cong :premises (@p901) :args ((forall @t79 (=> @t351 @t343))))
% 0.53/0.78  (step @p903 :rule exists-elim :args ((= (exists @t39 @t342) @t343)))
% 0.53/0.78  (step @p904 :rule refl :args (@t341))
% 0.53/0.78  (step @p905 :rule cong :premises (@p202 @p904) :args (@t612))
% 0.53/0.78  (step @p906 :rule cong :premises (@p905) :args ((forall @t9 @t612)))
% 0.53/0.78  (step @p907 :rule refl :args (@t340))
% 0.53/0.78  (step @p908 :rule refl :args (@t66))
% 0.53/0.78  (step @p909 :rule cong :premises (@p908 @p907) :args ((= @t66 @t340)))
% 0.53/0.78  (step @p910 :rule symm :premises (@p909))
% 0.53/0.78  (step @p911 :rule eq_resolve :premises (@p908 @p910))
% 0.53/0.78  (step @p912 :rule cong :premises (@p911) :args (@t613))
% 0.53/0.78  (step @p913 :rule nary_cong :premises (@p796 @p912) :args (@t614))
% 0.53/0.78  (step @p914 :rule cong :premises (@p913) :args ((forall @t68 @t614)))
% 0.53/0.78  (step @p915 :rule bool-and-de-morgan :args (@t21 @t66 true))
% 0.53/0.78  (step @p916 :rule cong :premises (@p915) :args (@t615))
% 0.53/0.78  (step @p917 :rule trans :premises (@p916 @p914))
% 0.53/0.78  (step @p918 :rule cong :premises (@p917) :args (@t616))
% 0.53/0.78  (step @p919 :rule exists-elim :args ((= @t69 @t616)))
% 0.53/0.78  (step @p920 :rule trans :premises (@p919 @p918))
% 0.53/0.78  (step @p921 :rule refl :args (@t6))
% 0.53/0.78  (step @p922 :rule cong :premises (@p921 @p920) :args (@t70))
% 0.53/0.78  (step @p923 :rule cong :premises (@p922) :args (@t71))
% 0.53/0.78  (step @p924 :rule trans :premises (@p923 @p906))
% 0.53/0.78  (step @p925 :rule cong :premises (@p924) :args (@t72))
% 0.53/0.78  (step @p926 :rule trans :premises (@p925 @p903))
% 0.53/0.78  (step @p927 :rule refl :args (@t350))
% 0.53/0.78  (step @p928 :rule nary_cong :premises (@p90 @p927) :args (@t617))
% 0.53/0.78  (step @p929 :rule cong :premises (@p928) :args ((forall @t9 @t617)))
% 0.53/0.78  (step @p930 :rule bool-impl-elim :args (@t7 @t350))
% 0.53/0.78  (step @p931 :rule cong :premises (@p930) :args ((forall @t9 (=> @t7 @t350))))
% 0.53/0.78  (step @p932 :rule trans :premises (@p931 @p929))
% 0.53/0.78  (step @p933 :rule refl :args (@t347))
% 0.53/0.78  (step @p934 :rule refl :args (@t348))
% 0.53/0.78  (step @p935 :rule refl :args (@t618))
% 0.53/0.78  (step @p936 :rule cong :premises (@p935 @p934) :args ((= @t618 @t348)))
% 0.53/0.78  (step @p937 :rule symm :premises (@p936))
% 0.53/0.78  (step @p938 :rule eq_resolve :premises (@p935 @p937))
% 0.53/0.78  (step @p939 :rule cong :premises (@p938) :args (@t619))
% 0.53/0.78  (step @p940 :rule nary_cong :premises (@p939 @p933) :args (@t620))
% 0.53/0.78  (step @p941 :rule cong :premises (@p940) :args ((forall @t349 @t620)))
% 0.53/0.78  (step @p942 :rule refl :args (@t345))
% 0.53/0.78  (step @p943 :rule refl :args (@t346))
% 0.53/0.78  (step @p944 :rule refl :args (@t74))
% 0.53/0.78  (step @p945 :rule cong :premises (@p944 @p943) :args ((= @t74 @t346)))
% 0.53/0.78  (step @p946 :rule symm :premises (@p945))
% 0.53/0.78  (step @p947 :rule eq_resolve :premises (@p944 @p946))
% 0.53/0.78  (step @p948 :rule cong :premises (@p947) :args (@t621))
% 0.53/0.78  (step @p949 :rule nary_cong :premises (@p948 @p942) :args (@t622))
% 0.53/0.78  (step @p950 :rule cong :premises (@p949) :args ((forall @t68 @t622)))
% 0.53/0.78  (step @p951 :rule refl :args (@t345))
% 0.53/0.78  (step @p952 :rule beta-reduce :args ((= @t623 @t74)))
% 0.53/0.78  (step @p953 :rule cong :premises (@p952) :args (@t624))
% 0.53/0.78  (step @p954 :rule nary_cong :premises (@p953 @p951) :args (@t625))
% 0.53/0.78  (step @p955 :rule cong :premises (@p954) :args (@t626))
% 0.53/0.78  (step @p956 :rule trans :premises (@p955 @p950))
% 0.53/0.78  (step @p957 :rule cong :premises (@p956) :args (@t627))
% 0.53/0.78  (step @p958 :rule beta-reduce :args ((= @t628 @t618)))
% 0.53/0.78  (step @p959 :rule cong :premises (@p958) :args (@t629))
% 0.53/0.78  (step @p960 :rule nary_cong :premises (@p959 @p957) :args (@t630))
% 0.53/0.78  (step @p961 :rule cong :premises (@p960) :args (@t631))
% 0.53/0.78  (step @p962 :rule trans :premises (@p961 @p941))
% 0.53/0.78  (step @p963 :rule cong :premises (@p962) :args (@t632))
% 0.53/0.78  (step @p964 :rule beta-reduce :args ((= (_ (lambda @t148 (not (forall @t349 (or @t633 (not (forall @t68 (or @t259 @t345))))))) @t75) @t632)))
% 0.53/0.78  (step @p965 :rule trans :premises (@p964 @p963))
% 0.53/0.78  (step @p966 :rule refl :args (@t75))
% 0.53/0.78  (step @p967 :rule eq-symm :args (@t344 @t19))
% 0.53/0.78  (step @p968 :rule nary_cong :premises (@p223 @p967) :args (@t634))
% 0.53/0.78  (step @p969 :rule cong :premises (@p968) :args (@t635))
% 0.53/0.78  (step @p970 :rule cong :premises (@p969) :args (@t636))
% 0.53/0.78  (step @p971 :rule refl :args (@t633))
% 0.53/0.78  (step @p972 :rule nary_cong :premises (@p971 @p970) :args (@t637))
% 0.53/0.78  (step @p973 :rule cong :premises (@p972) :args (@t638))
% 0.53/0.78  (step @p974 :rule cong :premises (@p973) :args (@t639))
% 0.53/0.78  (step @p975 :rule cong :premises (@p974) :args ((lambda @t148 @t639)))
% 0.53/0.78  (step @p976 :rule ho_cong :premises (@p975 @p966))
% 0.53/0.78  (step @p977 :rule trans :premises (@p976 @p965))
% 0.53/0.78  (step @p978 :rule refl :args (@t75))
% 0.53/0.78  (step @p979 :rule alpha_equiv :args (@t439 @t435 (@list @t344)))
% 0.53/0.78  (step @p980 :rule cong :premises (@p979) :args (@t440))
% 0.53/0.78  (step @p981 :rule cong :premises (@p980) :args (@t458))
% 0.53/0.78  (step @p982 :rule ho_cong :premises (@p981 @p978))
% 0.53/0.78  (step @p983 :rule trans :premises (@p982 @p977))
% 0.53/0.78  (step @p984 :rule cong :premises (@p163 @p983) :args (@t640))
% 0.53/0.78  (step @p985 :rule cong :premises (@p984) :args (@t641))
% 0.53/0.78  (step @p986 :rule trans :premises (@p985 @p932))
% 0.53/0.78  (step @p987 :rule cong :premises (@p986 @p926) :args (@t642))
% 0.53/0.78  (step @p988 :rule cong :premises (@p987) :args (@t643))
% 0.53/0.78  (step @p989 :rule trans :premises (@p988 @p902))
% 0.53/0.78  (step @p990 :rule refl :args (tptp.replAx))
% 0.53/0.78  (step @p991 :rule cong :premises (@p990 @p989) :args ((= tptp.replAx @t643)))
% 0.53/0.78  (step @p992 :rule refl :args (@t72))
% 0.53/0.78  (step @p993 :rule ho_cong :premises (@p297 @p966))
% 0.53/0.78  (step @p994 :rule cong :premises (@p163 @p993) :args (@t76))
% 0.53/0.78  (step @p995 :rule cong :premises (@p994) :args (@t77))
% 0.53/0.78  (step @p996 :rule cong :premises (@p995 @p992) :args (@t78))
% 0.53/0.78  (step @p997 :rule cong :premises (@p996) :args (@t80))
% 0.53/0.78  (step @p998 :rule cong :premises (@p990 @p997) :args (@t81))
% 0.53/0.78  (step @p999 :rule trans :premises (@p998 @p991))
% 0.53/0.78  (step @p1000 :rule eq_resolve :premises (@p9 @p999))
% 0.53/0.78  (step @p1001 :rule cong :premises (@p1000 @p900) :args (@t644))
% 0.53/0.78  (step @p1002 :rule aci_norm :args ((= @t646 @t364)))
% 0.53/0.78  (step @p1003 :rule cong :premises (@p1002) :args (@t647))
% 0.53/0.78  (step @p1004 :rule quant-merge-prenex :args ((= (forall @t62 @t649) @t647)))
% 0.53/0.78  (step @p1005 :rule alpha_equiv :args (@t650 (@list @t353) @t435))
% 0.53/0.78  (step @p1006 :rule refl :args (@t361))
% 0.53/0.78  (step @p1007 :rule refl :args (@t363))
% 0.53/0.78  (step @p1008 :rule nary_cong :premises (@p1007 @p1006 @p1005) :args (@t651))
% 0.53/0.78  (step @p1009 :rule quant-miniscope-or :args ((= @t649 @t651)))
% 0.53/0.78  (step @p1010 :rule trans :premises (@p1009 @p1008))
% 0.53/0.78  (step @p1011 :rule symm :premises (@p1010))
% 0.53/0.78  (step @p1012 :rule cong :premises (@p1011) :args ((forall @t62 (or @t363 @t361 @t652))))
% 0.53/0.78  (step @p1013 :rule trans :premises (@p1012 @p1004))
% 0.53/0.78  (step @p1014 :rule trans :premises (@p1013 @p1003))
% 0.53/0.78  (step @p1015 :rule refl :args (@t652))
% 0.53/0.78  (step @p1016 :rule refl :args (@t362))
% 0.53/0.78  (step @p1017 :rule refl :args (@t59))
% 0.53/0.78  (step @p1018 :rule cong :premises (@p1017 @p1016) :args ((= @t59 @t362)))
% 0.53/0.78  (step @p1019 :rule symm :premises (@p1018))
% 0.53/0.78  (step @p1020 :rule eq_resolve :premises (@p1017 @p1019))
% 0.53/0.78  (step @p1021 :rule cong :premises (@p1020) :args (@t653))
% 0.53/0.78  (step @p1022 :rule nary_cong :premises (@p1021 @p1006 @p1015) :args (@t654))
% 0.53/0.78  (step @p1023 :rule cong :premises (@p1022) :args ((forall @t62 @t654)))
% 0.53/0.78  (step @p1024 :rule trans :premises (@p1023 @p1014))
% 0.53/0.78  (step @p1025 :rule aci_norm :args ((= (or (or @t653 @t361) @t652) @t654)))
% 0.53/0.78  (step @p1026 :rule bool-and-de-morgan :args (@t59 @t360 true))
% 0.53/0.78  (step @p1027 :rule nary_cong :premises (@p1026 @p1015) :args ((or (not @t655) @t652)))
% 0.53/0.78  (step @p1028 :rule trans :premises (@p1027 @p1025))
% 0.53/0.78  (step @p1029 :rule bool-impl-elim :args (@t655 @t652))
% 0.53/0.78  (step @p1030 :rule trans :premises (@p1029 @p1028))
% 0.53/0.78  (step @p1031 :rule cong :premises (@p1030) :args ((forall @t62 (=> @t655 @t652))))
% 0.53/0.78  (step @p1032 :rule trans :premises (@p1031 @p1024))
% 0.53/0.78  (step @p1033 :rule refl :args (@t358))
% 0.53/0.78  (step @p1034 :rule refl :args (@t52))
% 0.53/0.78  (step @p1035 :rule cong :premises (@p1034 @p1033) :args ((= @t52 @t358)))
% 0.53/0.78  (step @p1036 :rule symm :premises (@p1035))
% 0.53/0.78  (step @p1037 :rule eq_resolve :premises (@p1034 @p1036))
% 0.53/0.78  (step @p1038 :rule cong :premises (@p1037) :args (@t656))
% 0.53/0.78  (step @p1039 :rule nary_cong :premises (@p1038 @p89) :args (@t657))
% 0.53/0.78  (step @p1040 :rule cong :premises (@p1039) :args ((forall @t9 @t657)))
% 0.53/0.78  (step @p1041 :rule bool-impl-elim :args (@t52 @t7))
% 0.53/0.78  (step @p1042 :rule cong :premises (@p1041) :args (@t55))
% 0.53/0.78  (step @p1043 :rule trans :premises (@p1042 @p1040))
% 0.53/0.78  (step @p1044 :rule refl :args ((tptp.in @t49 @t2)))
% 0.53/0.78  (step @p1045 :rule refl :args (@t356))
% 0.53/0.78  (step @p1046 :rule cong :premises (@p1045 @p123) :args (@t357))
% 0.53/0.78  (step @p1047 :rule trans :premises (@p1046 @p1044))
% 0.53/0.78  (step @p1048 :rule refl :args (tptp.in))
% 0.53/0.78  (step @p1049 :rule ho_cong :premises (@p1048 @p1045))
% 0.53/0.78  (step @p1050 :rule ho_cong :premises (@p1049 @p123))
% 0.53/0.78  (step @p1051 :rule cong :premises (@p1050 @p1047) :args ((= (_ @t658 @t2) @t357)))
% 0.53/0.78  (step @p1052 :rule symm :premises (@p1051))
% 0.53/0.78  (step @p1053 :rule refl :args (@t56))
% 0.53/0.78  (step @p1054 :rule eq_resolve :premises (@p1053 @p1052))
% 0.53/0.78  (step @p1055 :rule refl :args (@t49))
% 0.53/0.78  (step @p1056 :rule cong :premises (@p1055 @p1045) :args ((= @t49 @t356)))
% 0.53/0.78  (step @p1057 :rule symm :premises (@p1056))
% 0.53/0.78  (step @p1058 :rule eq_resolve :premises (@p1055 @p1057))
% 0.53/0.78  (step @p1059 :rule ho_cong :premises (@p1048 @p1058))
% 0.53/0.78  (step @p1060 :rule ho_cong :premises (@p1059 @p123))
% 0.53/0.78  (step @p1061 :rule trans :premises (@p1060 @p1054))
% 0.53/0.78  (step @p1062 :rule nary_cong :premises (@p1038 @p90 @p1061) :args (@t659))
% 0.53/0.78  (step @p1063 :rule cong :premises (@p1062) :args ((forall @t9 @t659)))
% 0.53/0.78  (step @p1064 :rule aci_norm :args ((= (or (or @t656 @t192) @t56) @t659)))
% 0.53/0.78  (step @p1065 :rule bool-and-de-morgan :args (@t52 @t7 true))
% 0.53/0.78  (step @p1066 :rule nary_cong :premises (@p1065 @p1053) :args ((or (not @t57) @t56)))
% 0.53/0.78  (step @p1067 :rule trans :premises (@p1066 @p1064))
% 0.53/0.78  (step @p1068 :rule bool-impl-elim :args (@t57 @t56))
% 0.53/0.78  (step @p1069 :rule trans :premises (@p1068 @p1067))
% 0.53/0.78  (step @p1070 :rule cong :premises (@p1069) :args (@t58))
% 0.53/0.78  (step @p1071 :rule trans :premises (@p1070 @p1063))
% 0.53/0.78  (step @p1072 :rule refl :args (@t59))
% 0.53/0.78  (step @p1073 :rule nary_cong :premises (@p1072 @p1071) :args (@t60))
% 0.53/0.78  (step @p1074 :rule cong :premises (@p1073 @p1043) :args (@t61))
% 0.53/0.78  (step @p1075 :rule cong :premises (@p1074) :args (@t63))
% 0.53/0.78  (step @p1076 :rule trans :premises (@p1075 @p1032))
% 0.53/0.78  (step @p1077 :rule refl :args (tptp.omegaIndAx))
% 0.53/0.78  (step @p1078 :rule cong :premises (@p1077 @p1076) :args (@t64))
% 0.53/0.78  (step @p1079 :rule eq_resolve :premises (@p8 @p1078))
% 0.53/0.78  (step @p1080 :rule cong :premises (@p1079 @p1001) :args (@t660))
% 0.53/0.78  (step @p1081 :rule refl :args ((tptp.in @t49 tptp.omega)))
% 0.53/0.78  (step @p1082 :rule refl :args (tptp.omega))
% 0.53/0.78  (step @p1083 :rule cong :premises (@p1045 @p1082) :args (@t367))
% 0.53/0.78  (step @p1084 :rule trans :premises (@p1083 @p1081))
% 0.53/0.78  (step @p1085 :rule ho_cong :premises (@p1049 @p1082))
% 0.53/0.78  (step @p1086 :rule cong :premises (@p1085 @p1084) :args ((= (_ @t658 tptp.omega) @t367)))
% 0.53/0.78  (step @p1087 :rule symm :premises (@p1086))
% 0.53/0.78  (step @p1088 :rule refl :args (@t51))
% 0.53/0.78  (step @p1089 :rule eq_resolve :premises (@p1088 @p1087))
% 0.53/0.78  (step @p1090 :rule ho_cong :premises (@p1059 @p1082))
% 0.53/0.78  (step @p1091 :rule trans :premises (@p1090 @p1089))
% 0.53/0.78  (step @p1092 :rule nary_cong :premises (@p1038 @p1091) :args (@t661))
% 0.53/0.78  (step @p1093 :rule cong :premises (@p1092) :args ((forall @t9 @t661)))
% 0.53/0.78  (step @p1094 :rule bool-impl-elim :args (@t52 @t51))
% 0.53/0.78  (step @p1095 :rule cong :premises (@p1094) :args (@t53))
% 0.53/0.78  (step @p1096 :rule trans :premises (@p1095 @p1093))
% 0.53/0.78  (step @p1097 :rule refl :args (tptp.omegaSAx))
% 0.53/0.78  (step @p1098 :rule cong :premises (@p1097 @p1096) :args (@t54))
% 0.53/0.78  (step @p1099 :rule eq_resolve :premises (@p7 @p1098))
% 0.53/0.78  (step @p1100 :rule cong :premises (@p1099 @p1080) :args (@t662))
% 0.53/0.78  (step @p1101 :rule cong :premises (@p6 @p1100) :args (@t663))
% 0.53/0.78  (step @p1102 :rule eq-symm :args (@t373 @t374))
% 0.53/0.78  (step @p1103 :rule cong :premises (@p1102) :args ((forall @t44 (= @t373 @t374))))
% 0.53/0.78  (step @p1104 :rule refl :args (@t374))
% 0.53/0.78  (step @p1105 :rule refl :args ((tptp.in @t4 @t41)))
% 0.53/0.78  (step @p1106 :rule refl :args (@t372))
% 0.53/0.78  (step @p1107 :rule cong :premises (@p126 @p1106) :args (@t373))
% 0.53/0.78  (step @p1108 :rule trans :premises (@p1107 @p1105))
% 0.53/0.78  (step @p1109 :rule ho_cong :premises (@p129 @p1106))
% 0.53/0.78  (step @p1110 :rule cong :premises (@p1109 @p1108) :args ((= (_ @t5 @t372) @t373)))
% 0.53/0.78  (step @p1111 :rule symm :premises (@p1110))
% 0.53/0.78  (step @p1112 :rule refl :args (@t42))
% 0.53/0.78  (step @p1113 :rule eq_resolve :premises (@p1112 @p1111))
% 0.53/0.78  (step @p1114 :rule refl :args (@t41))
% 0.53/0.78  (step @p1115 :rule cong :premises (@p1114 @p1106) :args ((= @t41 @t372)))
% 0.53/0.78  (step @p1116 :rule symm :premises (@p1115))
% 0.53/0.78  (step @p1117 :rule eq_resolve :premises (@p1114 @p1116))
% 0.53/0.78  (step @p1118 :rule ho_cong :premises (@p129 @p1117))
% 0.53/0.78  (step @p1119 :rule trans :premises (@p1118 @p1113))
% 0.53/0.78  (step @p1120 :rule cong :premises (@p1119 @p1104) :args (@t664))
% 0.53/0.79  (step @p1121 :rule cong :premises (@p1120) :args ((forall @t44 @t664)))
% 0.53/0.79  (step @p1122 :rule trans :premises (@p1121 @p1103))
% 0.53/0.79  (step @p1123 :rule nary_cong :premises (@p203 @p870) :args (@t665))
% 0.53/0.79  (step @p1124 :rule cong :premises (@p1123) :args ((forall @t39 @t665)))
% 0.53/0.79  (step @p1125 :rule bool-and-de-morgan :args (@t6 @t37 true))
% 0.53/0.79  (step @p1126 :rule cong :premises (@p1125) :args (@t666))
% 0.53/0.79  (step @p1127 :rule trans :premises (@p1126 @p1124))
% 0.53/0.79  (step @p1128 :rule cong :premises (@p1127) :args (@t667))
% 0.53/0.79  (step @p1129 :rule exists-elim :args ((= @t40 @t667)))
% 0.53/0.79  (step @p1130 :rule trans :premises (@p1129 @p1128))
% 0.53/0.79  (step @p1131 :rule refl :args (@t42))
% 0.53/0.79  (step @p1132 :rule cong :premises (@p1131 @p1130) :args (@t43))
% 0.53/0.79  (step @p1133 :rule cong :premises (@p1132) :args (@t45))
% 0.53/0.79  (step @p1134 :rule trans :premises (@p1133 @p1122))
% 0.53/0.79  (step @p1135 :rule refl :args (tptp.setunionAx))
% 0.53/0.79  (step @p1136 :rule cong :premises (@p1135 @p1134) :args (@t46))
% 0.53/0.79  (step @p1137 :rule eq_resolve :premises (@p5 @p1136))
% 0.53/0.79  (step @p1138 :rule cong :premises (@p1137 @p1101) :args (@t668))
% 0.53/0.79  (step @p1139 :rule eq-symm :args (@t378 @t252))
% 0.53/0.79  (step @p1140 :rule cong :premises (@p1139) :args ((forall @t12 (= @t378 @t252))))
% 0.53/0.79  (step @p1141 :rule refl :args (@t252))
% 0.53/0.79  (step @p1142 :rule refl :args ((tptp.in @t1 @t31)))
% 0.53/0.79  (step @p1143 :rule refl :args (@t377))
% 0.53/0.79  (step @p1144 :rule refl :args (@t1))
% 0.53/0.79  (step @p1145 :rule cong :premises (@p1144 @p1143) :args (@t378))
% 0.53/0.79  (step @p1146 :rule trans :premises (@p1145 @p1142))
% 0.53/0.79  (step @p1147 :rule refl :args (@t32))
% 0.53/0.79  (step @p1148 :rule ho_cong :premises (@p1147 @p1143))
% 0.53/0.79  (step @p1149 :rule cong :premises (@p1148 @p1146) :args ((= (_ @t32 @t377) @t378)))
% 0.53/0.79  (step @p1150 :rule symm :premises (@p1149))
% 0.53/0.79  (step @p1151 :rule refl :args (@t33))
% 0.53/0.79  (step @p1152 :rule eq_resolve :premises (@p1151 @p1150))
% 0.53/0.79  (step @p1153 :rule refl :args (@t31))
% 0.53/0.79  (step @p1154 :rule cong :premises (@p1153 @p1143) :args ((= @t31 @t377)))
% 0.53/0.79  (step @p1155 :rule symm :premises (@p1154))
% 0.53/0.79  (step @p1156 :rule eq_resolve :premises (@p1153 @p1155))
% 0.53/0.79  (step @p1157 :rule ho_cong :premises (@p1147 @p1156))
% 0.53/0.79  (step @p1158 :rule trans :premises (@p1157 @p1152))
% 0.53/0.79  (step @p1159 :rule cong :premises (@p1158 @p1141) :args (@t669))
% 0.53/0.79  (step @p1160 :rule cong :premises (@p1159) :args ((forall @t12 @t669)))
% 0.53/0.79  (step @p1161 :rule trans :premises (@p1160 @p1140))
% 0.53/0.79  (step @p1162 :rule refl :args (@t33))
% 0.53/0.79  (step @p1163 :rule cong :premises (@p1162 @p208) :args (@t34))
% 0.53/0.79  (step @p1164 :rule cong :premises (@p1163) :args (@t35))
% 0.53/0.79  (step @p1165 :rule trans :premises (@p1164 @p1161))
% 0.53/0.79  (step @p1166 :rule refl :args (tptp.powersetAx))
% 0.53/0.79  (step @p1167 :rule cong :premises (@p1166 @p1165) :args (@t36))
% 0.53/0.79  (step @p1168 :rule eq_resolve :premises (@p4 @p1167))
% 0.53/0.79  (step @p1169 :rule cong :premises (@p1168 @p1138) :args (@t670))
% 0.53/0.79  (step @p1170 :rule nary_cong :premises (@p257 @p795) :args (@t671))
% 0.53/0.79  (step @p1171 :rule refl :args ((tptp.in @t19 @t24)))
% 0.53/0.79  (step @p1172 :rule refl :args (@t381))
% 0.53/0.79  (step @p1173 :rule refl :args (@t19))
% 0.53/0.79  (step @p1174 :rule cong :premises (@p1173 @p1172) :args (@t382))
% 0.53/0.79  (step @p1175 :rule trans :premises (@p1174 @p1171))
% 0.53/0.79  (step @p1176 :rule refl :args (@t20))
% 0.53/0.79  (step @p1177 :rule ho_cong :premises (@p1176 @p1172))
% 0.53/0.79  (step @p1178 :rule cong :premises (@p1177 @p1175) :args ((= (_ @t20 @t381) @t382)))
% 0.53/0.79  (step @p1179 :rule symm :premises (@p1178))
% 0.53/0.79  (step @p1180 :rule refl :args (@t25))
% 0.53/0.79  (step @p1181 :rule eq_resolve :premises (@p1180 @p1179))
% 0.53/0.79  (step @p1182 :rule refl :args (@t24))
% 0.53/0.79  (step @p1183 :rule cong :premises (@p1182 @p1172) :args ((= @t24 @t381)))
% 0.53/0.79  (step @p1184 :rule symm :premises (@p1183))
% 0.53/0.79  (step @p1185 :rule eq_resolve :premises (@p1182 @p1184))
% 0.53/0.79  (step @p1186 :rule ho_cong :premises (@p1176 @p1185))
% 0.53/0.79  (step @p1187 :rule trans :premises (@p1186 @p1181))
% 0.53/0.79  (step @p1188 :rule cong :premises (@p1187 @p1170) :args (@t672))
% 0.53/0.79  (step @p1189 :rule cong :premises (@p1188) :args ((forall @t27 @t672)))
% 0.53/0.79  (step @p1190 :rule refl :args (@t21))
% 0.53/0.79  (step @p1191 :rule eq-symm :args (@t19 @t4))
% 0.53/0.79  (step @p1192 :rule nary_cong :premises (@p1191 @p1190) :args (@t22))
% 0.53/0.79  (step @p1193 :rule refl :args (@t25))
% 0.53/0.79  (step @p1194 :rule cong :premises (@p1193 @p1192) :args (@t26))
% 0.53/0.79  (step @p1195 :rule cong :premises (@p1194) :args (@t28))
% 0.53/0.79  (step @p1196 :rule trans :premises (@p1195 @p1189))
% 0.53/0.79  (step @p1197 :rule refl :args (tptp.setadjoinAx))
% 0.53/0.79  (step @p1198 :rule cong :premises (@p1197 @p1196) :args (@t29))
% 0.53/0.79  (step @p1199 :rule eq_resolve :premises (@p3 @p1198))
% 0.53/0.79  (step @p1200 :rule cong :premises (@p1199 @p1169) :args (@t673))
% 0.53/0.79  (step @p1201 :rule refl :args (tptp.emptysetAx))
% 0.53/0.79  (step @p1202 :rule cong :premises (@p1201 @p313) :args (@t18))
% 0.53/0.79  (step @p1203 :rule eq_resolve :premises (@p2 @p1202))
% 0.53/0.79  (step @p1204 :rule cong :premises (@p1203 @p1200) :args (@t674))
% 0.53/0.79  (step @p1205 :rule bool-impl-elim :args (@t386 @t3))
% 0.53/0.79  (step @p1206 :rule cong :premises (@p1205) :args ((forall @t12 (=> @t386 @t3))))
% 0.53/0.79  (step @p1207 :rule cong :premises (@p89 @p202) :args (@t8))
% 0.53/0.79  (step @p1208 :rule cong :premises (@p1207) :args (@t10))
% 0.53/0.79  (step @p1209 :rule cong :premises (@p1208 @p197) :args (@t11))
% 0.53/0.79  (step @p1210 :rule cong :premises (@p1209) :args (@t13))
% 0.53/0.79  (step @p1211 :rule trans :premises (@p1210 @p1206))
% 0.53/0.79  (step @p1212 :rule refl :args (tptp.setextAx))
% 0.53/0.79  (step @p1213 :rule cong :premises (@p1212 @p1211) :args (@t14))
% 0.53/0.79  (step @p1214 :rule eq_resolve :premises (@p1 @p1213))
% 0.53/0.79  (step @p1215 :rule cong :premises (@p1214 @p1204) :args (@t675))
% 0.53/0.79  (step @p1216 :rule cong :premises (@p1215) :args ((not @t675)))
% 0.53/0.79  (step @p1217 :rule trans :premises (@p1216 @p77))
% 0.53/0.79  (step @p1218 :rule refl :args (tptp.emptyset))
% 0.53/0.79  (step @p1219 :rule cong :premises (@p1218 @p111) :args (@t676))
% 0.53/0.79  (step @p1220 :rule cong :premises (@p1219) :args (@t677))
% 0.53/0.79  (step @p1221 :rule nary_cong :premises (@p116 @p485 @p1220) :args (@t678))
% 0.53/0.79  (step @p1222 :rule cong :premises (@p1221) :args ((forall @t157 @t678)))
% 0.53/0.79  (step @p1223 :rule refl :args (tptp.emptyset))
% 0.53/0.79  (step @p1224 :rule cong :premises (@p1223 @p147) :args (@t679))
% 0.53/0.79  (step @p1225 :rule cong :premises (@p1224) :args (@t680))
% 0.53/0.79  (step @p1226 :rule nary_cong :premises (@p90 @p249 @p1225) :args (@t681))
% 0.53/0.79  (step @p1227 :rule cong :premises (@p1226) :args ((forall @t157 @t681)))
% 0.53/0.79  (step @p1228 :rule trans :premises (@p1227 @p1222))
% 0.53/0.79  (step @p1229 :rule aci_norm :args ((= (or @t192 (or @t442 @t680)) @t681)))
% 0.53/0.79  (step @p1230 :rule bool-impl-elim :args (@t142 @t680))
% 0.53/0.79  (step @p1231 :rule nary_cong :premises (@p493 @p1230) :args ((or @t192 @t682)))
% 0.53/0.79  (step @p1232 :rule trans :premises (@p1231 @p1229))
% 0.53/0.79  (step @p1233 :rule bool-impl-elim :args (@t7 @t682))
% 0.53/0.79  (step @p1234 :rule trans :premises (@p1233 @p1232))
% 0.53/0.79  (step @p1235 :rule cong :premises (@p1234) :args ((forall @t157 (=> @t7 @t682))))
% 0.53/0.79  (step @p1236 :rule trans :premises (@p1235 @p1228))
% 0.53/0.79  (step @p1237 :rule eq-symm :args (@t154 tptp.emptyset))
% 0.53/0.79  (step @p1238 :rule cong :premises (@p1237) :args (@t683))
% 0.53/0.79  (step @p1239 :rule beta-reduce :args ((= @t684 @t683)))
% 0.53/0.79  (step @p1240 :rule trans :premises (@p1239 @p1238))
% 0.53/0.79  (step @p1241 :rule cong :premises (@p292 @p1240) :args (@t685))
% 0.53/0.79  (step @p1242 :rule cong :premises (@p163 @p1241) :args (@t686))
% 0.53/0.79  (step @p1243 :rule cong :premises (@p1242) :args (@t687))
% 0.53/0.79  (step @p1244 :rule trans :premises (@p1243 @p1236))
% 0.53/0.79  (step @p1245 :rule cong :premises (@p99 @p1244) :args (@t688))
% 0.53/0.79  (step @p1246 :rule cong :premises (@p167 @p1245) :args (@t689))
% 0.53/0.79  (step @p1247 :rule cong :premises (@p172 @p1246) :args (@t690))
% 0.53/0.79  (step @p1248 :rule cong :premises (@p185 @p1247) :args (@t691))
% 0.53/0.79  (step @p1249 :rule cong :premises (@p218 @p1248) :args (@t692))
% 0.53/0.79  (step @p1250 :rule cong :premises (@p279 @p1249) :args (@t693))
% 0.53/0.79  (step @p1251 :rule cong :premises (@p306 @p1250) :args (@t694))
% 0.53/0.79  (step @p1252 :rule cong :premises (@p323 @p1251) :args (@t695))
% 0.53/0.79  (step @p1253 :rule cong :premises (@p345 @p1252) :args (@t696))
% 0.53/0.79  (step @p1254 :rule cong :premises (@p423 @p1253) :args (@t697))
% 0.53/0.79  (step @p1255 :rule cong :premises (@p447 @p1254) :args (@t698))
% 0.53/0.79  (step @p1256 :rule cong :premises (@p468 @p1255) :args (@t699))
% 0.53/0.79  (step @p1257 :rule cong :premises (@p481 @p1256) :args (@t700))
% 0.53/0.79  (step @p1258 :rule cong :premises (@p500 @p1257) :args (@t701))
% 0.53/0.79  (step @p1259 :rule cong :premises (@p568 @p1258) :args (@t702))
% 0.53/0.79  (step @p1260 :rule cong :premises (@p845 @p1259) :args (@t703))
% 0.53/0.79  (step @p1261 :rule cong :premises (@p897 @p1260) :args (@t704))
% 0.53/0.79  (step @p1262 :rule cong :premises (@p990 @p1261) :args (@t705))
% 0.53/0.79  (step @p1263 :rule cong :premises (@p1077 @p1262) :args (@t706))
% 0.53/0.79  (step @p1264 :rule cong :premises (@p1097 @p1263) :args (@t707))
% 0.53/0.79  (step @p1265 :rule refl :args (tptp.omega0Ax))
% 0.53/0.79  (step @p1266 :rule cong :premises (@p1265 @p1264) :args (@t708))
% 0.53/0.79  (step @p1267 :rule cong :premises (@p1135 @p1266) :args (@t709))
% 0.53/0.79  (step @p1268 :rule cong :premises (@p1166 @p1267) :args (@t710))
% 0.53/0.79  (step @p1269 :rule cong :premises (@p1197 @p1268) :args (@t711))
% 0.53/0.79  (step @p1270 :rule cong :premises (@p1201 @p1269) :args (@t712))
% 0.53/0.79  (step @p1271 :rule cong :premises (@p1212 @p1270) :args (@t713))
% 0.53/0.79  (step @p1272 :rule cong :premises (@p1271) :args ((not @t713)))
% 0.53/0.79  (step @p1273 :rule refl :args (@t154))
% 0.53/0.79  (step @p1274 :rule ho_cong :premises (@p31 @p1273))
% 0.53/0.79  (step @p1275 :rule cong :premises (@p292 @p1274) :args (@t203))
% 0.53/0.79  (step @p1276 :rule cong :premises (@p163 @p1275) :args (@t204))
% 0.53/0.79  (step @p1277 :rule cong :premises (@p1276) :args (@t205))
% 0.53/0.79  (step @p1278 :rule cong :premises (@p99 @p1277) :args (@t206))
% 0.53/0.79  (step @p1279 :rule cong :premises (@p167 @p1278) :args (@t207))
% 0.53/0.79  (step @p1280 :rule cong :premises (@p172 @p1279) :args (@t208))
% 0.53/0.79  (step @p1281 :rule cong :premises (@p185 @p1280) :args (@t209))
% 0.53/0.79  (step @p1282 :rule cong :premises (@p218 @p1281) :args (@t210))
% 0.53/0.79  (step @p1283 :rule cong :premises (@p279 @p1282) :args (@t211))
% 0.53/0.79  (step @p1284 :rule cong :premises (@p306 @p1283) :args (@t212))
% 0.53/0.79  (step @p1285 :rule cong :premises (@p323 @p1284) :args (@t213))
% 0.53/0.79  (step @p1286 :rule cong :premises (@p345 @p1285) :args (@t214))
% 0.53/0.79  (step @p1287 :rule cong :premises (@p423 @p1286) :args (@t215))
% 0.53/0.79  (step @p1288 :rule cong :premises (@p447 @p1287) :args (@t216))
% 0.53/0.79  (step @p1289 :rule cong :premises (@p468 @p1288) :args (@t217))
% 0.53/0.79  (step @p1290 :rule cong :premises (@p481 @p1289) :args (@t218))
% 0.53/0.79  (step @p1291 :rule cong :premises (@p500 @p1290) :args (@t219))
% 0.53/0.79  (step @p1292 :rule cong :premises (@p568 @p1291) :args (@t220))
% 0.53/0.79  (step @p1293 :rule cong :premises (@p845 @p1292) :args (@t221))
% 0.53/0.79  (step @p1294 :rule cong :premises (@p897 @p1293) :args (@t222))
% 0.53/0.79  (step @p1295 :rule cong :premises (@p990 @p1294) :args (@t223))
% 0.53/0.79  (step @p1296 :rule cong :premises (@p1077 @p1295) :args (@t224))
% 0.53/0.79  (step @p1297 :rule cong :premises (@p1097 @p1296) :args (@t225))
% 0.53/0.79  (step @p1298 :rule cong :premises (@p1265 @p1297) :args (@t226))
% 0.53/0.79  (step @p1299 :rule cong :premises (@p1135 @p1298) :args (@t227))
% 0.53/0.79  (step @p1300 :rule cong :premises (@p1166 @p1299) :args (@t228))
% 0.53/0.79  (step @p1301 :rule cong :premises (@p1197 @p1300) :args (@t229))
% 0.53/0.79  (step @p1302 :rule cong :premises (@p1201 @p1301) :args (@t230))
% 0.53/0.79  (step @p1303 :rule cong :premises (@p1212 @p1302) :args (@t231))
% 0.53/0.79  (step @p1304 :rule cong :premises (@p1303) :args (@t232))
% 0.53/0.79  (step @p1305 :rule trans :premises (@p1304 @p1272))
% 0.53/0.79  (step @p1306 :rule trans :premises (@p1305 @p1217 @p50))
% 0.53/0.79  (step @p1307 :rule eq_resolve :premises (@p27 @p1306))
% 0.53/0.79  (step @p1308 :rule not_implies_elim2 :premises (@p1307))
% 0.53/0.79  (step @p1309 :rule not_implies_elim2 :premises (@p1308))
% 0.53/0.79  (step @p1310 :rule not_implies_elim2 :premises (@p1309))
% 0.53/0.79  (step @p1311 :rule not_implies_elim2 :premises (@p1310))
% 0.53/0.79  (step @p1312 :rule not_implies_elim2 :premises (@p1311))
% 0.53/0.79  (step @p1313 :rule not_implies_elim2 :premises (@p1312))
% 0.53/0.79  (step @p1314 :rule not_implies_elim2 :premises (@p1313))
% 0.53/0.79  (step @p1315 :rule not_implies_elim2 :premises (@p1314))
% 0.53/0.79  (step @p1316 :rule not_implies_elim2 :premises (@p1315))
% 0.53/0.79  (step @p1317 :rule not_implies_elim2 :premises (@p1316))
% 0.53/0.79  (step @p1318 :rule not_implies_elim2 :premises (@p1317))
% 0.53/0.79  (step @p1319 :rule not_implies_elim2 :premises (@p1318))
% 0.53/0.79  (step @p1320 :rule not_implies_elim1 :premises (@p1319))
% 0.53/0.79  (step @p1321 :rule instantiate :premises (@p1320) :args ((@list @t716 @t715 @t714)))
% 0.53/0.79  (step @p1322 :rule not_implies_elim2 :premises (@p1319))
% 0.53/0.79  (step @p1323 :rule not_implies_elim2 :premises (@p1322))
% 0.53/0.79  (step @p1324 :rule not_implies_elim2 :premises (@p1323))
% 0.53/0.79  (step @p1325 :rule not_implies_elim2 :premises (@p1324))
% 0.53/0.79  (step @p1326 :rule not_implies_elim2 :premises (@p1325))
% 0.53/0.79  (step @p1327 :rule not_implies_elim2 :premises (@p1326))
% 0.53/0.79  (step @p1328 :rule not_implies_elim2 :premises (@p1327))
% 0.53/0.79  (step @p1329 :rule not_implies_elim2 :premises (@p1328))
% 0.53/0.79  (step @p1330 :rule not_implies_elim2 :premises (@p1329))
% 0.53/0.79  (step @p1331 :rule not_implies_elim2 :premises (@p1330))
% 0.53/0.79  (step @p1332 :rule not_implies_elim2 :premises (@p1331))
% 0.53/0.79  (step @p1333 :rule not_implies_elim2 :premises (@p1332))
% 0.53/0.79  (step @p1334 :rule not_implies_elim2 :premises (@p1333))
% 0.53/0.79  (step @p1335 :rule skolemize :premises (@p1334))
% 0.53/0.79  (step @p1336 :rule bool-double-not-elim :args (@t717))
% 0.53/0.79  (step @p1337 :rule refl :args (@t724))
% 0.53/0.79  (step @p1338 :rule nary_cong :premises (@p1337 @p1336) :args ((or @t724 (not @t721))))
% 0.53/0.79  (step @p1339 :rule cnf_or_neg :args (@t724 1))
% 0.53/0.79  (step @p1340 :rule eq_resolve :premises (@p1339 @p1338))
% 0.53/0.79  (step @p1341 :rule reordering :premises (@p1340) :args ((or @t717 @t724)))
% 0.53/0.79  (step @p1342 :rule chain_m_resolution :premises (@p1341 @p1335) :args (@t717 @t725 @t726))
% 0.53/0.79  (step @p1343 :rule bool-double-not-elim :args (@t722))
% 0.53/0.79  (step @p1344 :rule nary_cong :premises (@p1337 @p1343) :args ((or @t724 (not @t723))))
% 0.53/0.79  (step @p1345 :rule cnf_or_neg :args (@t724 0))
% 0.53/0.79  (step @p1346 :rule eq_resolve :premises (@p1345 @p1344))
% 0.53/0.79  (step @p1347 :rule reordering :premises (@p1346) :args ((or @t722 @t724)))
% 0.53/0.79  (step @p1348 :rule chain_m_resolution :premises (@p1347 @p1335) :args (@t722 @t725 @t726))
% 0.53/0.79  (step @p1349 :rule cnf_or_pos :args (@t728))
% 0.53/0.79  (step @p1350 :rule reordering :premises (@p1349) :args ((or @t723 @t721 @t727 (not @t728))))
% 0.53/0.79  (step @p1351 :rule chain_m_resolution :premises (@p1350 @p1348 @p1342 @p1321) :args (@t727 (@list false false false) (@list @t722 @t717 @t728)))
% 0.53/0.79  (step @p1352 :rule true_intro :premises (@p1351))
% 0.53/0.79  (step @p1353 :rule bool-double-not-elim :args (@t719))
% 0.53/0.79  (step @p1354 :rule nary_cong :premises (@p1337 @p1353) :args ((or @t724 (not @t720))))
% 0.53/0.79  (step @p1355 :rule cnf_or_neg :args (@t724 2))
% 0.53/0.79  (step @p1356 :rule eq_resolve :premises (@p1355 @p1354))
% 0.53/0.79  (step @p1357 :rule reordering :premises (@p1356) :args ((or @t719 @t724)))
% 0.53/0.79  (step @p1358 :rule chain_m_resolution :premises (@p1357 @p1335) :args (@t719 @t725 @t726))
% 0.53/0.79  (step @p1359 :rule refl :args (@t714))
% 0.53/0.79  (step @p1360 :rule cong :premises (@p1359 @p1358) :args ((tptp.in @t714 tptp.emptyset)))
% 0.53/0.79  (step @p1361 :rule not_implies_elim1 :premises (@p1308))
% 0.53/0.79  (step @p1362 :rule instantiate :premises (@p1361) :args ((@list @t714)))
% 0.53/0.79  (step @p1363 :rule false_intro :premises (@p1362))
% 0.53/0.79  (step @p1364 :rule symm :premises (@p1363))
% 0.53/0.79  (step @p1365 :rule trans :premises (@p1364 @p1360 @p1352))
% 0.53/0.79  (step @p1366 false :rule eq_resolve :premises (@p1365 @p32))
% 0.53/0.79  )
% 0.53/0.79  % SZS output end Proof
% 0.53/0.79  % cvc5 exiting
%------------------------------------------------------------------------------