cvc5---1.3.4.THM-Prf.s

%------------------------------------------------------------------------------
% File     : cvc5---1.3.4
% Problem  : SEU655^2 : TPTP v9.2.1. Released v3.7.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM

% Computer : n016.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 08:52:36 AM UTC 2026

% Result   : Theorem 0.45s 0.64s
% Output   : Proof 0.45s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : SEU655^2 : TPTP v9.2.1. Released v3.7.0.
% 0.12/0.13  % Command  : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.17/0.35  % Computer : n016.cluster.edu
% 0.17/0.35  % Model    : x86_64 x86_64
% 0.17/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.35  % Memory   : 8042.1875MB
% 0.17/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.17/0.35  % CPULimit : 300
% 0.17/0.35  % WCLimit  : 300
% 0.17/0.35  % DateTime : Tue Jun  2 17:45:24 EDT 2026
% 0.17/0.35  % CPUTime  : 
% 0.31/0.49  %----Proving TH0
% 0.45/0.64  --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 90s...
% 0.45/0.64  % SZS status Theorem
% 0.45/0.64  % SZS output start Proof
% 0.45/0.64  (
% 0.45/0.64  (declare-sort $$unsorted 0)
% 0.45/0.64  (declare-const tptp.emptyset $$unsorted)
% 0.45/0.64  (declare-const tptp.setadjoin (-> $$unsorted $$unsorted $$unsorted))
% 0.45/0.64  (declare-const tptp.setunion (-> $$unsorted $$unsorted))
% 0.45/0.64  (declare-const tptp.in (-> $$unsorted $$unsorted Bool))
% 0.45/0.64  (declare-const tptp.dsetconstr (-> $$unsorted (-> $$unsorted Bool) $$unsorted))
% 0.45/0.64  (declare-const tptp.setukpairinjR Bool)
% 0.45/0.64  (declare-const tptp.kfstpairEq Bool)
% 0.45/0.64  (declare-const tptp.ex1I Bool)
% 0.45/0.64  (declare-const tptp.kfst (-> $$unsorted $$unsorted))
% 0.45/0.64  (define tptp.iskpair () (let ((_let_1 (@var "Xy" $$unsorted))) (let ((_let_2 (@var "Xx" $$unsorted))) (let ((_let_3 (_ tptp.setadjoin _let_2))) (let ((_let_4 (@var "A" $$unsorted))) (let ((_let_5 (_ tptp.setunion _let_4))) (lambda (@list _let_4) (exists (@list _let_2) (and (_ (_ tptp.in _let_2) _let_5) (exists (@list _let_1) (and (_ (_ tptp.in _let_1) _let_5) (= _let_4 (_ (_ tptp.setadjoin (_ _let_3 tptp.emptyset)) (_ (_ tptp.setadjoin (_ _let_3 (_ (_ tptp.setadjoin _let_1) tptp.emptyset))) tptp.emptyset))))))))))))))
% 0.45/0.64  (define tptp.kpair () (let ((_let_1 (@var "Xy" $$unsorted))) (let ((_let_2 (@var "Xx" $$unsorted))) (let ((_let_3 (_ tptp.setadjoin _let_2))) (lambda (@list _let_2 _let_1) (_ (_ tptp.setadjoin (_ _let_3 tptp.emptyset)) (_ (_ tptp.setadjoin (_ _let_3 (_ (_ tptp.setadjoin _let_1) tptp.emptyset))) tptp.emptyset)))))))
% 0.45/0.64  (define tptp.singleton () (let ((_let_1 (@var "Xx" $$unsorted))) (let ((_let_2 (@var "A" $$unsorted))) (lambda (@list _let_2) (exists (@list _let_1) (and (_ (_ tptp.in _let_1) _let_2) (= _let_2 (_ (_ tptp.setadjoin _let_1) tptp.emptyset))))))))
% 0.45/0.64  (define tptp.ex1 () (let ((_let_1 (@var "Xx" $$unsorted))) (let ((_let_2 (@var "Xphi" (-> $$unsorted Bool)))) (let ((_let_3 (@var "A" $$unsorted))) (lambda (@list _let_3 _let_2) (_ tptp.singleton (_ (_ tptp.dsetconstr _let_3) (lambda (@list _let_1) (_ _let_2 _let_1)))))))))
% 0.45/0.64  (define @t1 () (@var "Xy" $$unsorted))
% 0.45/0.64  (define @t2 () (@var "Xphi" (-> $$unsorted Bool)))
% 0.45/0.64  (define @t3 () (_ @t2 @t1))
% 0.45/0.64  (define @t4 () (@list @t1))
% 0.45/0.64  (define @t5 () (lambda @t4 @t3))
% 0.45/0.64  (define @t6 () (@var "A" $$unsorted))
% 0.45/0.64  (define @t7 () (@var "Xx" $$unsorted))
% 0.45/0.64  (define @t8 () (=> @t3 (= @t1 @t7)))
% 0.45/0.64  (define @t9 () (_ tptp.in @t1))
% 0.45/0.64  (define @t10 () (_ @t9 @t6))
% 0.45/0.64  (define @t11 () (=> @t10 @t8))
% 0.45/0.64  (define @t12 () (forall @t4 @t11))
% 0.45/0.64  (define @t13 () (=> @t12 (_ (_ tptp.ex1 @t6) @t5)))
% 0.45/0.64  (define @t14 () (_ @t2 @t7))
% 0.45/0.64  (define @t15 () (=> @t14 @t13))
% 0.45/0.64  (define @t16 () (_ tptp.in @t7))
% 0.45/0.64  (define @t17 () (_ @t16 @t6))
% 0.45/0.64  (define @t18 () (=> @t17 @t15))
% 0.45/0.64  (define @t19 () (@list @t6 @t2 @t7))
% 0.45/0.64  (define @t20 () (forall @t19 @t18))
% 0.45/0.64  (define @t21 () (= tptp.ex1I @t20))
% 0.45/0.64  (define @t22 () (_ (_ tptp.kpair @t7) @t1))
% 0.45/0.64  (define @t23 () (= (_ tptp.kfst @t22) @t7))
% 0.45/0.64  (define @t24 () (@list @t7 @t1))
% 0.45/0.64  (define @t25 () (forall @t24 @t23))
% 0.45/0.64  (define @t26 () (= tptp.kfstpairEq @t25))
% 0.45/0.64  (define @t27 () (@var "Xu" $$unsorted))
% 0.45/0.64  (define @t28 () (= @t1 @t27))
% 0.45/0.64  (define @t29 () (@var "Xz" $$unsorted))
% 0.45/0.64  (define @t30 () (= @t22 (_ (_ tptp.kpair @t29) @t27)))
% 0.45/0.64  (define @t31 () (=> @t30 @t28))
% 0.45/0.64  (define @t32 () (@list @t7 @t1 @t29 @t27))
% 0.45/0.64  (define @t33 () (forall @t32 @t31))
% 0.45/0.64  (define @t34 () (= tptp.setukpairinjR @t33))
% 0.45/0.64  (define @t35 () (_ tptp.kfst @t27))
% 0.45/0.64  (define @t36 () (= @t27 (_ (_ tptp.kpair @t35) @t7)))
% 0.45/0.64  (define @t37 () (@list @t7))
% 0.45/0.64  (define @t38 () (lambda @t37 @t36))
% 0.45/0.64  (define @t39 () (_ tptp.setunion @t27))
% 0.45/0.64  (define @t40 () (_ tptp.dsetconstr @t39))
% 0.45/0.64  (define @t41 () (=> (_ tptp.iskpair @t27) (_ tptp.singleton (_ @t40 @t38))))
% 0.45/0.64  (define @t42 () (@list @t27))
% 0.45/0.64  (define @t43 () (forall @t42 @t41))
% 0.45/0.64  (define @t44 () (=> tptp.setukpairinjR @t43))
% 0.45/0.64  (define @t45 () (=> tptp.kfstpairEq @t44))
% 0.45/0.64  (define @t46 () (=> tptp.ex1I @t45))
% 0.45/0.64  (define @t47 () (not @t46))
% 0.45/0.64  (define @t48 () (_ (_ tptp.setadjoin @t1) tptp.emptyset))
% 0.45/0.64  (define @t49 () (_ tptp.setadjoin @t7))
% 0.45/0.64  (define @t50 () (_ @t49 @t48))
% 0.45/0.64  (define @t51 () (_ (_ tptp.setadjoin @t50) tptp.emptyset))
% 0.45/0.64  (define @t52 () (_ @t49 tptp.emptyset))
% 0.45/0.64  (define @t53 () (_ (_ tptp.setadjoin @t52) @t51))
% 0.45/0.64  (define @t54 () (= @t6 @t53))
% 0.45/0.64  (define @t55 () (_ tptp.setunion @t6))
% 0.45/0.64  (define @t56 () (_ @t9 @t55))
% 0.45/0.64  (define @t57 () (and @t56 @t54))
% 0.45/0.64  (define @t58 () (exists @t4 @t57))
% 0.45/0.64  (define @t59 () (_ @t16 @t55))
% 0.45/0.64  (define @t60 () (and @t59 @t58))
% 0.45/0.64  (define @t61 () (exists @t37 @t60))
% 0.45/0.64  (define @t62 () (@list @t6))
% 0.45/0.64  (define @t63 () (lambda @t62 @t61))
% 0.45/0.64  (define @t64 () (lambda @t24 @t53))
% 0.45/0.64  (define @t65 () (= @t6 @t52))
% 0.45/0.64  (define @t66 () (and @t17 @t65))
% 0.45/0.64  (define @t67 () (exists @t37 @t66))
% 0.45/0.64  (define @t68 () (lambda @t62 @t67))
% 0.45/0.64  (define @t69 () (lambda @t37 @t14))
% 0.45/0.64  (define @t70 () (_ tptp.dsetconstr @t6))
% 0.45/0.64  (define @t71 () (_ @t70 @t69))
% 0.45/0.64  (define @t72 () (@list @t6 @t2))
% 0.45/0.64  (define @t73 () (lambda @t72 (_ tptp.singleton @t71)))
% 0.45/0.64  (define @t74 () (@var "BOUND_VARIABLE_7914" $$unsorted))
% 0.45/0.64  (define @t75 () (@var "BOUND_VARIABLE_7912" $$unsorted))
% 0.45/0.64  (define @t76 () (tptp.setadjoin (tptp.setadjoin @t75 tptp.emptyset) (tptp.setadjoin (tptp.setadjoin @t75 (tptp.setadjoin @t74 tptp.emptyset)) tptp.emptyset)))
% 0.45/0.64  (define @t77 () (tptp.setunion @t76))
% 0.45/0.64  (define @t78 () (not (tptp.in @t74 @t77)))
% 0.45/0.64  (define @t79 () (not (tptp.in @t75 @t77)))
% 0.45/0.64  (define @t80 () (@var "BOUND_VARIABLE_7865" $$unsorted))
% 0.45/0.64  (define @t81 () (tptp.setadjoin @t80 tptp.emptyset))
% 0.45/0.64  (define @t82 () (tptp.kfst @t76))
% 0.45/0.64  (define @t83 () (@list @t80))
% 0.45/0.64  (define @t84 () (tptp.dsetconstr @t77 (lambda @t83 (= @t76 (tptp.setadjoin (tptp.setadjoin @t82 tptp.emptyset) (tptp.setadjoin (tptp.setadjoin @t82 @t81) tptp.emptyset))))))
% 0.45/0.64  (define @t85 () (tptp.setadjoin @t7 tptp.emptyset))
% 0.45/0.64  (define @t86 () (not (forall @t37 (or (not (tptp.in @t7 @t84)) (not (= @t85 @t84))))))
% 0.45/0.64  (define @t87 () (or @t86 @t79 @t78))
% 0.45/0.64  (define @t88 () (@list @t75 @t74))
% 0.45/0.64  (define @t89 () (forall @t88 @t87))
% 0.45/0.64  (define @t90 () (_ (_ tptp.setadjoin @t27) tptp.emptyset))
% 0.45/0.64  (define @t91 () (_ tptp.setadjoin @t29))
% 0.45/0.64  (define @t92 () (_ @t91 @t90))
% 0.45/0.64  (define @t93 () (_ (_ tptp.setadjoin @t92) tptp.emptyset))
% 0.45/0.64  (define @t94 () (_ @t91 tptp.emptyset))
% 0.45/0.64  (define @t95 () (tptp.setadjoin @t27 tptp.emptyset))
% 0.45/0.64  (define @t96 () (tptp.setadjoin @t29 @t95))
% 0.45/0.64  (define @t97 () (tptp.setadjoin @t96 tptp.emptyset))
% 0.45/0.64  (define @t98 () (tptp.setadjoin @t29 tptp.emptyset))
% 0.45/0.64  (define @t99 () (tptp.setadjoin @t98 @t97))
% 0.45/0.64  (define @t100 () (_ tptp.setadjoin @t94))
% 0.45/0.64  (define @t101 () (_ @t100 @t93))
% 0.45/0.64  (define @t102 () (tptp.setadjoin @t1 tptp.emptyset))
% 0.45/0.64  (define @t103 () (tptp.setadjoin @t7 @t102))
% 0.45/0.64  (define @t104 () (tptp.setadjoin @t103 tptp.emptyset))
% 0.45/0.64  (define @t105 () (tptp.setadjoin @t85 @t104))
% 0.45/0.64  (define @t106 () (= @t53 @t101))
% 0.45/0.64  (define @t107 () (not @t106))
% 0.45/0.64  (define @t108 () (or @t107 @t28))
% 0.45/0.64  (define @t109 () (lambda @t4 (_ @t100 (_ (_ tptp.setadjoin (_ @t91 @t48)) tptp.emptyset))))
% 0.45/0.64  (define @t110 () (_ @t64 @t29))
% 0.45/0.64  (define @t111 () (lambda @t4 @t53))
% 0.45/0.64  (define @t112 () (_ @t64 @t7))
% 0.45/0.64  (define @t113 () (_ @t112 @t1))
% 0.45/0.64  (define @t114 () (= @t113 (_ @t110 @t27)))
% 0.45/0.64  (define @t115 () (=> @t114 @t28))
% 0.45/0.64  (define @t116 () (forall @t32 @t115))
% 0.45/0.64  (define @t117 () (=> tptp.setukpairinjR @t89))
% 0.45/0.64  (define @t118 () (tptp.kfst @t105))
% 0.45/0.64  (define @t119 () (_ tptp.kfst @t53))
% 0.45/0.64  (define @t120 () (= @t7 @t119))
% 0.45/0.64  (define @t121 () (= (_ tptp.kfst @t113) @t7))
% 0.45/0.64  (define @t122 () (forall @t24 @t121))
% 0.45/0.64  (define @t123 () (=> tptp.kfstpairEq @t117))
% 0.45/0.64  (define @t124 () (@var "BOUND_VARIABLE_7712" $$unsorted))
% 0.45/0.64  (define @t125 () (tptp.setadjoin @t124 tptp.emptyset))
% 0.45/0.64  (define @t126 () (tptp.dsetconstr @t6 @t2))
% 0.45/0.64  (define @t127 () (not (tptp.in @t124 @t126)))
% 0.45/0.64  (define @t128 () (@list @t124))
% 0.45/0.64  (define @t129 () (not (forall @t128 (or @t127 (not (= @t126 @t125))))))
% 0.45/0.64  (define @t130 () (= @t7 @t1))
% 0.45/0.64  (define @t131 () (_ @t2 @t1))
% 0.45/0.64  (define @t132 () (tptp.in @t1 @t6))
% 0.45/0.64  (define @t133 () (forall @t4 (or (not @t132) (not @t131) @t130)))
% 0.45/0.64  (define @t134 () (not @t133))
% 0.45/0.64  (define @t135 () (_ @t2 @t7))
% 0.45/0.64  (define @t136 () (not @t14))
% 0.45/0.64  (define @t137 () (tptp.in @t7 @t6))
% 0.45/0.64  (define @t138 () (not @t17))
% 0.45/0.64  (define @t139 () (or @t138 @t136 @t134 @t129))
% 0.45/0.64  (define @t140 () (or @t136 @t134 @t129))
% 0.45/0.64  (define @t141 () (=> @t133 @t129))
% 0.45/0.64  (define @t142 () (=> @t14 @t141))
% 0.45/0.64  (define @t143 () (not (= @t125 @t126)))
% 0.45/0.64  (define @t144 () (or @t127 @t143))
% 0.45/0.64  (define @t145 () (forall @t128 @t144))
% 0.45/0.64  (define @t146 () (not @t145))
% 0.45/0.64  (define @t147 () (=> @t133 @t146))
% 0.45/0.64  (define @t148 () (=> @t14 @t147))
% 0.45/0.64  (define @t149 () (=> @t17 @t148))
% 0.45/0.64  (define @t150 () (forall @t37 (or (not (tptp.in @t7 @t126)) (not (= @t85 @t126)))))
% 0.45/0.64  (define @t151 () (@list @t7))
% 0.45/0.64  (define @t152 () (not @t150))
% 0.45/0.64  (define @t153 () (=> @t133 @t152))
% 0.45/0.64  (define @t154 () (=> @t14 @t153))
% 0.45/0.64  (define @t155 () (=> @t17 @t154))
% 0.45/0.64  (define @t156 () (lambda @t4 @t131))
% 0.45/0.64  (define @t157 () (tptp.dsetconstr @t6 @t156))
% 0.45/0.64  (define @t158 () (= @t85 @t157))
% 0.45/0.64  (define @t159 () (not @t158))
% 0.45/0.64  (define @t160 () (tptp.in @t7 @t157))
% 0.45/0.64  (define @t161 () (not @t160))
% 0.45/0.64  (define @t162 () (or @t161 @t159))
% 0.45/0.64  (define @t163 () (tptp.dsetconstr @t6 @t5))
% 0.45/0.64  (define @t164 () (= @t85 @t163))
% 0.45/0.64  (define @t165 () (not @t164))
% 0.45/0.64  (define @t166 () (tptp.in @t7 @t163))
% 0.45/0.64  (define @t167 () (not @t166))
% 0.45/0.64  (define @t168 () (or @t167 @t165))
% 0.45/0.64  (define @t169 () (forall @t37 @t168))
% 0.45/0.64  (define @t170 () (not @t169))
% 0.45/0.64  (define @t171 () (lambda (@list @t2) @t152))
% 0.45/0.64  (define @t172 () (_ (lambda @t72 @t152) @t6))
% 0.45/0.64  (define @t173 () (not @t3))
% 0.45/0.64  (define @t174 () (not @t10))
% 0.45/0.64  (define @t175 () (or @t174 @t173 @t130))
% 0.45/0.64  (define @t176 () (=> @t3 @t130))
% 0.45/0.64  (define @t177 () (=> @t12 (_ @t172 @t5)))
% 0.45/0.64  (define @t178 () (=> @t14 @t177))
% 0.45/0.64  (define @t179 () (=> @t17 @t178))
% 0.45/0.64  (define @t180 () (forall @t19 @t179))
% 0.45/0.64  (define @t181 () (@var "BOUND_VARIABLE_7565" $$unsorted))
% 0.45/0.64  (define @t182 () (_ @t2 @t181))
% 0.45/0.64  (define @t183 () (@list @t181))
% 0.45/0.64  (define @t184 () (lambda @t183 @t182))
% 0.45/0.64  (define @t185 () (tptp.dsetconstr @t6 @t184))
% 0.45/0.64  (define @t186 () (= @t85 @t185))
% 0.45/0.64  (define @t187 () (not @t186))
% 0.45/0.64  (define @t188 () (tptp.in @t7 @t185))
% 0.45/0.64  (define @t189 () (not @t188))
% 0.45/0.64  (define @t190 () (or @t189 @t187))
% 0.45/0.64  (define @t191 () (_ @t2 @t181))
% 0.45/0.64  (define @t192 () (lambda @t183 @t191))
% 0.45/0.64  (define @t193 () (_ @t70 @t192))
% 0.45/0.64  (define @t194 () (= @t85 @t193))
% 0.45/0.64  (define @t195 () (not @t194))
% 0.45/0.64  (define @t196 () (tptp.in @t7 @t193))
% 0.45/0.64  (define @t197 () (not @t196))
% 0.45/0.64  (define @t198 () (or @t197 @t195))
% 0.45/0.64  (define @t199 () (= @t85 @t71))
% 0.45/0.64  (define @t200 () (not @t199))
% 0.45/0.64  (define @t201 () (tptp.in @t7 @t71))
% 0.45/0.64  (define @t202 () (not @t201))
% 0.45/0.64  (define @t203 () (or @t202 @t200))
% 0.45/0.64  (define @t204 () (not (= @t71 @t85)))
% 0.45/0.64  (define @t205 () (or @t202 @t204))
% 0.45/0.64  (define @t206 () (forall @t37 @t205))
% 0.45/0.64  (define @t207 () (not @t206))
% 0.45/0.64  (define @t208 () (not @t137))
% 0.45/0.64  (define @t209 () (lambda @t62 (not (forall @t37 (or @t208 (not (= @t6 @t85)))))))
% 0.45/0.64  (define @t210 () (not @t65))
% 0.45/0.64  (define @t211 () (or @t138 @t210))
% 0.45/0.64  (define @t212 () (forall @t37 (not @t66)))
% 0.45/0.64  (define @t213 () (not @t212))
% 0.45/0.64  (define @t214 () (=> tptp.ex1I @t123))
% 0.45/0.64  (define @t215 () (not (= @t76 @t76)))
% 0.45/0.64  (define @t216 () (or @t86 @t79 @t78 @t215))
% 0.45/0.64  (define @t217 () (not (= @t27 @t76)))
% 0.45/0.64  (define @t218 () (tptp.setunion @t27))
% 0.45/0.64  (define @t219 () (not (tptp.in @t74 @t218)))
% 0.45/0.64  (define @t220 () (not (tptp.in @t75 @t218)))
% 0.45/0.64  (define @t221 () (tptp.kfst @t27))
% 0.45/0.64  (define @t222 () (tptp.setadjoin @t221 @t81))
% 0.45/0.64  (define @t223 () (tptp.setadjoin @t222 tptp.emptyset))
% 0.45/0.64  (define @t224 () (tptp.setadjoin @t221 tptp.emptyset))
% 0.45/0.64  (define @t225 () (tptp.setadjoin @t224 @t223))
% 0.45/0.64  (define @t226 () (= @t27 @t225))
% 0.45/0.64  (define @t227 () (lambda @t83 @t226))
% 0.45/0.64  (define @t228 () (tptp.dsetconstr @t218 @t227))
% 0.45/0.64  (define @t229 () (not (forall @t37 (or (not (tptp.in @t7 @t228)) (not (= @t85 @t228))))))
% 0.45/0.64  (define @t230 () (or @t217 @t229 @t220 @t219 @t217))
% 0.45/0.64  (define @t231 () (or @t229 @t220 @t219 @t217))
% 0.45/0.64  (define @t232 () (forall @t42 @t231))
% 0.45/0.64  (define @t233 () (forall @t88 @t232))
% 0.45/0.64  (define @t234 () (forall (@list @t75 @t74 @t27) @t231))
% 0.45/0.64  (define @t235 () (@list @t27 @t75 @t74))
% 0.45/0.64  (define @t236 () (not (= @t76 @t27)))
% 0.45/0.64  (define @t237 () (or @t229 @t220 @t219 @t236))
% 0.45/0.64  (define @t238 () (or @t220 @t219 @t236))
% 0.45/0.64  (define @t239 () (or @t238 @t229))
% 0.45/0.64  (define @t240 () (forall @t235 @t239))
% 0.45/0.64  (define @t241 () (forall @t88 @t239))
% 0.45/0.64  (define @t242 () (forall @t88 @t238))
% 0.45/0.64  (define @t243 () (@var "BOUND_VARIABLE_7482" $$unsorted))
% 0.45/0.64  (define @t244 () (or @t242 @t229))
% 0.45/0.64  (define @t245 () (tptp.setadjoin @t85 (tptp.setadjoin (tptp.setadjoin @t7 (tptp.setadjoin @t243 tptp.emptyset)) tptp.emptyset)))
% 0.45/0.64  (define @t246 () (not (tptp.in @t243 @t218)))
% 0.45/0.64  (define @t247 () (not (tptp.in @t7 @t218)))
% 0.45/0.64  (define @t248 () (@list @t7 @t243))
% 0.45/0.64  (define @t249 () (forall @t248 (or @t247 @t246 (not (= @t245 @t27)))))
% 0.45/0.64  (define @t250 () (not @t249))
% 0.45/0.64  (define @t251 () (_ (_ tptp.setadjoin @t80) tptp.emptyset))
% 0.45/0.64  (define @t252 () (_ tptp.setadjoin @t35))
% 0.45/0.64  (define @t253 () (_ @t252 @t251))
% 0.45/0.64  (define @t254 () (_ (_ tptp.setadjoin @t253) tptp.emptyset))
% 0.45/0.64  (define @t255 () (_ @t252 tptp.emptyset))
% 0.45/0.64  (define @t256 () (_ tptp.setadjoin @t255))
% 0.45/0.64  (define @t257 () (_ @t256 @t254))
% 0.45/0.64  (define @t258 () (= @t27 @t257))
% 0.45/0.64  (define @t259 () (lambda @t83 @t258))
% 0.45/0.64  (define @t260 () (_ @t40 @t259))
% 0.45/0.64  (define @t261 () (_ tptp.setadjoin @t221))
% 0.45/0.64  (define @t262 () (= @t85 @t260))
% 0.45/0.64  (define @t263 () (not @t262))
% 0.45/0.64  (define @t264 () (tptp.in @t7 @t260))
% 0.45/0.64  (define @t265 () (not @t264))
% 0.45/0.64  (define @t266 () (or @t265 @t263))
% 0.45/0.64  (define @t267 () (_ @t256 (_ (_ tptp.setadjoin (_ @t252 @t52)) tptp.emptyset)))
% 0.45/0.64  (define @t268 () (lambda @t37 (= @t27 @t267)))
% 0.45/0.64  (define @t269 () (_ @t40 @t268))
% 0.45/0.64  (define @t270 () (= @t85 @t269))
% 0.45/0.64  (define @t271 () (not @t270))
% 0.45/0.64  (define @t272 () (tptp.in @t7 @t269))
% 0.45/0.64  (define @t273 () (not @t272))
% 0.45/0.64  (define @t274 () (or @t273 @t271))
% 0.45/0.64  (define @t275 () (not (= @t269 @t85)))
% 0.45/0.64  (define @t276 () (or @t273 @t275))
% 0.45/0.64  (define @t277 () (forall @t37 @t276))
% 0.45/0.64  (define @t278 () (not @t277))
% 0.45/0.64  (define @t279 () (lambda @t4 (_ @t256 (_ (_ tptp.setadjoin (_ @t252 @t48)) tptp.emptyset))))
% 0.45/0.64  (define @t280 () (_ @t64 @t35))
% 0.45/0.64  (define @t281 () (= @t27 (_ @t280 @t7)))
% 0.45/0.64  (define @t282 () (lambda @t37 @t281))
% 0.45/0.64  (define @t283 () (not (= @t27 @t245)))
% 0.45/0.64  (define @t284 () (or @t247 @t246 @t283))
% 0.45/0.64  (define @t285 () (forall @t248 @t284))
% 0.45/0.64  (define @t286 () (not @t285))
% 0.45/0.64  (define @t287 () (not (= @t6 @t245)))
% 0.45/0.64  (define @t288 () (tptp.setunion @t6))
% 0.45/0.64  (define @t289 () (not (tptp.in @t243 @t288)))
% 0.45/0.64  (define @t290 () (tptp.in @t7 @t288))
% 0.45/0.64  (define @t291 () (not @t290))
% 0.45/0.64  (define @t292 () (or @t291 @t289 @t287))
% 0.45/0.64  (define @t293 () (_ (lambda @t62 (not (forall @t248 @t292))) @t27))
% 0.45/0.64  (define @t294 () (=> @t293 (_ @t209 (_ @t40 @t282))))
% 0.45/0.64  (define @t295 () (forall @t42 @t294))
% 0.45/0.64  (define @t296 () (=> tptp.setukpairinjR @t295))
% 0.45/0.64  (define @t297 () (=> tptp.kfstpairEq @t296))
% 0.45/0.64  (define @t298 () (=> tptp.ex1I @t297))
% 0.45/0.64  (define @t299 () (or @t289 @t287))
% 0.45/0.64  (define @t300 () (or @t291 @t299))
% 0.45/0.64  (define @t301 () (forall @t248 @t300))
% 0.45/0.64  (define @t302 () (@list @t243))
% 0.45/0.64  (define @t303 () (forall @t302 @t300))
% 0.45/0.64  (define @t304 () (forall @t302 @t299))
% 0.45/0.64  (define @t305 () (or @t291 @t304))
% 0.45/0.64  (define @t306 () (tptp.in @t1 @t288))
% 0.45/0.64  (define @t307 () (forall @t4 (or (not @t306) (not (= @t6 @t105)))))
% 0.45/0.64  (define @t308 () (not @t59))
% 0.45/0.64  (define @t309 () (or @t308 @t307))
% 0.45/0.64  (define @t310 () (not @t307))
% 0.45/0.64  (define @t311 () (and @t59 @t310))
% 0.45/0.64  (define @t312 () (forall @t37 (not @t311)))
% 0.45/0.64  (define @t313 () (not @t312))
% 0.45/0.64  (define @t314 () (not @t54))
% 0.45/0.64  (define @t315 () (not @t56))
% 0.45/0.64  (define @t316 () (or @t315 @t314))
% 0.45/0.64  (define @t317 () (forall @t4 (not @t57)))
% 0.45/0.64  (define @t318 () (not @t317))
% 0.45/0.64  (define @t319 () (@quantifiers_skolemize @t89 1))
% 0.45/0.64  (define @t320 () (tptp.setadjoin @t319 tptp.emptyset))
% 0.45/0.64  (define @t321 () (@quantifiers_skolemize @t89 0))
% 0.45/0.64  (define @t322 () (tptp.setadjoin @t321 @t320))
% 0.45/0.64  (define @t323 () (tptp.setadjoin @t322 tptp.emptyset))
% 0.45/0.64  (define @t324 () (tptp.setadjoin @t321 tptp.emptyset))
% 0.45/0.64  (define @t325 () (tptp.setadjoin @t324 @t323))
% 0.45/0.64  (define @t326 () (tptp.kfst @t325))
% 0.45/0.64  (define @t327 () (tptp.setadjoin @t326 tptp.emptyset))
% 0.45/0.64  (define @t328 () (= @t325 (tptp.setadjoin @t327 (tptp.setadjoin (tptp.setadjoin @t326 @t81) tptp.emptyset))))
% 0.45/0.64  (define @t329 () (lambda @t83 @t328))
% 0.45/0.64  (define @t330 () (tptp.setunion @t325))
% 0.45/0.64  (define @t331 () (tptp.dsetconstr @t330 @t329))
% 0.45/0.64  (define @t332 () (forall @t37 (or (not (tptp.in @t7 @t331)) (not (= @t85 @t331)))))
% 0.45/0.64  (define @t333 () (tptp.in @t319 @t330))
% 0.45/0.64  (define @t334 () (not @t333))
% 0.45/0.64  (define @t335 () (not @t332))
% 0.45/0.64  (define @t336 () (or @t335 (not (tptp.in @t321 @t330)) @t334))
% 0.45/0.64  (define @t337 () (@list true))
% 0.45/0.64  (define @t338 () (@list @t336))
% 0.45/0.64  (define @t339 () (@purify @t329))
% 0.45/0.64  (define @t340 () (tptp.dsetconstr @t330 @t339))
% 0.45/0.64  (define @t341 () (not (= @t340 @t125)))
% 0.45/0.64  (define @t342 () (not (tptp.in @t124 @t340)))
% 0.45/0.64  (define @t343 () (or @t342 @t341))
% 0.45/0.64  (define @t344 () (forall @t128 @t343))
% 0.45/0.64  (define @t345 () (not @t344))
% 0.45/0.64  (define @t346 () (not (_ @t339 @t1)))
% 0.45/0.64  (define @t347 () (not (tptp.in @t1 @t330)))
% 0.45/0.64  (define @t348 () (or @t347 @t346 (= @t319 @t1)))
% 0.45/0.64  (define @t349 () (forall @t4 @t348))
% 0.45/0.64  (define @t350 () (not @t349))
% 0.45/0.64  (define @t351 () (_ @t339 @t319))
% 0.45/0.64  (define @t352 () (not @t351))
% 0.45/0.64  (define @t353 () (or @t334 @t352 @t350 @t345))
% 0.45/0.64  (define @t354 () (forall @t19 (or @t208 (not @t135) @t134 @t129)))
% 0.45/0.64  (define @t355 () (forall @t128 (or @t342 (not (= @t125 @t340)))))
% 0.45/0.64  (define @t356 () (not @t355))
% 0.45/0.64  (define @t357 () (forall @t4 (or @t347 @t346 (= @t1 @t319))))
% 0.45/0.64  (define @t358 () (not @t357))
% 0.45/0.64  (define @t359 () (or @t334 @t352 @t358 @t356))
% 0.45/0.64  (define @t360 () (@list false))
% 0.45/0.64  (define @t361 () (@quantifiers_skolemize @t357 0))
% 0.45/0.64  (define @t362 () (_ @t339 @t361))
% 0.45/0.64  (define @t363 () (= @t319 @t361))
% 0.45/0.64  (define @t364 () (not @t362))
% 0.45/0.64  (define @t365 () (not (tptp.in @t361 @t330)))
% 0.45/0.64  (define @t366 () (or @t365 @t364 @t363))
% 0.45/0.64  (define @t367 () (_ @t339 @t80))
% 0.45/0.64  (define @t368 () (_ @t329 @t80))
% 0.45/0.64  (define @t369 () (= @t367 @t368))
% 0.45/0.64  (define @t370 () (forall @t83 @t369))
% 0.45/0.64  (define @t371 () (tptp.setadjoin @t361 tptp.emptyset))
% 0.45/0.64  (define @t372 () (tptp.setadjoin @t326 @t371))
% 0.45/0.64  (define @t373 () (tptp.setadjoin @t372 tptp.emptyset))
% 0.45/0.64  (define @t374 () (tptp.setadjoin @t327 @t373))
% 0.45/0.64  (define @t375 () (= @t325 @t374))
% 0.45/0.64  (define @t376 () (forall @t83 (= @t328 @t367)))
% 0.45/0.64  (define @t377 () (= @t375 @t362))
% 0.45/0.64  (define @t378 () (= @t362 @t375))
% 0.45/0.64  (define @t379 () (= @t325 (tptp.setadjoin @t324 (tptp.setadjoin (tptp.setadjoin @t321 @t371) tptp.emptyset))))
% 0.45/0.64  (define @t380 () (not @t379))
% 0.45/0.64  (define @t381 () (or @t380 @t363))
% 0.45/0.64  (define @t382 () (= @t321 @t326))
% 0.45/0.64  (define @t383 () (and @t382 @t375))
% 0.45/0.64  (define @t384 () (not @t366))
% 0.45/0.64  (define @t385 () (or @t365 @t364 (= @t361 @t319)))
% 0.45/0.64  (define @t386 () (not @t385))
% 0.45/0.64  (define @t387 () (= @t325 (tptp.setadjoin @t327 (tptp.setadjoin (tptp.setadjoin @t326 @t320) tptp.emptyset))))
% 0.45/0.64  (define @t388 () (= @t387 @t351))
% 0.45/0.64  (define @t389 () (@quantifiers_skolemize @t355 0))
% 0.45/0.64  (define @t390 () (tptp.setadjoin @t389 tptp.emptyset))
% 0.45/0.64  (define @t391 () (not (tptp.in @t389 @t340)))
% 0.45/0.64  (define @t392 () (or @t391 (not (= @t340 @t390))))
% 0.45/0.64  (define @t393 () (not @t392))
% 0.45/0.64  (define @t394 () (not (= @t390 @t340)))
% 0.45/0.64  (define @t395 () (or @t391 @t394))
% 0.45/0.64  (define @t396 () (not @t395))
% 0.45/0.64  (define @t397 () (= @t331 @t390))
% 0.45/0.64  (define @t398 () (not @t397))
% 0.45/0.64  (define @t399 () (tptp.in @t389 @t331))
% 0.45/0.64  (define @t400 () (not @t399))
% 0.45/0.64  (define @t401 () (or @t400 @t398))
% 0.45/0.64  (define @t402 () (not (= @t390 @t331)))
% 0.45/0.64  (define @t403 () (or @t400 @t402))
% 0.45/0.64  (assume @p1 @t21)
% 0.45/0.64  (assume @p2 @t26)
% 0.45/0.64  (assume @p3 @t34)
% 0.45/0.64  (assume @p4 @t47)
% 0.45/0.64  (assume @p5 true)
% 0.45/0.64  (step @p6 (= tptp.iskpair @t63) :rule refl :args (@t63))
% 0.45/0.64  (step @p7 (= tptp.kpair @t64) :rule refl :args (@t64))
% 0.45/0.64  (step @p8 (= tptp.singleton @t68) :rule refl :args (@t68))
% 0.45/0.64  (step @p9 (= tptp.ex1 @t73) :rule refl :args (@t73))
% 0.45/0.64  (step @p10 :rule refl :args (@t89))
% 0.45/0.64  (step @p11 :rule refl :args (@t28))
% 0.45/0.64  (step @p12 :rule refl :args ((tptp.setadjoin @t94 @t93)))
% 0.45/0.64  (step @p13 :rule refl :args ((tptp.setadjoin @t92 tptp.emptyset)))
% 0.45/0.64  (step @p14 :rule refl :args (tptp.emptyset))
% 0.45/0.64  (step @p15 :rule refl :args ((tptp.setadjoin @t29 @t90)))
% 0.45/0.64  (step @p16 :rule refl :args (@t95))
% 0.45/0.64  (step @p17 :rule refl :args (@t29))
% 0.45/0.64  (step @p18 :rule cong :premises (@p17 @p16) :args (@t96))
% 0.45/0.64  (step @p19 :rule trans :premises (@p18 @p15))
% 0.45/0.64  (step @p20 :rule cong :premises (@p19 @p14) :args (@t97))
% 0.45/0.64  (step @p21 :rule trans :premises (@p20 @p13))
% 0.45/0.64  (step @p22 :rule refl :args (@t98))
% 0.45/0.64  (step @p23 :rule cong :premises (@p22 @p21) :args (@t99))
% 0.45/0.64  (step @p24 :rule trans :premises (@p23 @p12))
% 0.45/0.64  (step @p25 :rule refl :args (tptp.setadjoin))
% 0.45/0.64  (step @p26 :rule ho_cong :premises (@p25 @p22))
% 0.45/0.64  (step @p27 :rule ho_cong :premises (@p26 @p21))
% 0.45/0.64  (step @p28 :rule cong :premises (@p27 @p24) :args ((= (_ (_ tptp.setadjoin @t98) @t97) @t99)))
% 0.45/0.64  (step @p29 :rule symm :premises (@p28))
% 0.45/0.64  (step @p30 :rule refl :args (@t101))
% 0.45/0.64  (step @p31 :rule eq_resolve :premises (@p30 @p29))
% 0.45/0.64  (step @p32 :rule ho_cong :premises (@p25 @p19))
% 0.45/0.64  (step @p33 :rule ho_cong :premises (@p32 @p14))
% 0.45/0.64  (step @p34 :rule cong :premises (@p33 @p21) :args ((= (_ (_ tptp.setadjoin @t96) tptp.emptyset) @t97)))
% 0.45/0.64  (step @p35 :rule symm :premises (@p34))
% 0.45/0.64  (step @p36 :rule refl :args (@t93))
% 0.45/0.64  (step @p37 :rule eq_resolve :premises (@p36 @p35))
% 0.45/0.64  (step @p38 :rule refl :args (@t91))
% 0.45/0.64  (step @p39 :rule ho_cong :premises (@p38 @p16))
% 0.45/0.64  (step @p40 :rule cong :premises (@p39 @p19) :args ((= (_ @t91 @t95) @t96)))
% 0.45/0.64  (step @p41 :rule symm :premises (@p40))
% 0.45/0.64  (step @p42 :rule refl :args (@t92))
% 0.45/0.64  (step @p43 :rule eq_resolve :premises (@p42 @p41))
% 0.45/0.64  (step @p44 :rule refl :args (@t90))
% 0.45/0.64  (step @p45 :rule cong :premises (@p44 @p16) :args ((= @t90 @t95)))
% 0.45/0.64  (step @p46 :rule symm :premises (@p45))
% 0.45/0.64  (step @p47 :rule eq_resolve :premises (@p44 @p46))
% 0.45/0.64  (step @p48 :rule ho_cong :premises (@p38 @p47))
% 0.45/0.64  (step @p49 :rule trans :premises (@p48 @p43))
% 0.45/0.64  (step @p50 :rule ho_cong :premises (@p25 @p49))
% 0.45/0.64  (step @p51 :rule ho_cong :premises (@p50 @p14))
% 0.45/0.64  (step @p52 :rule trans :premises (@p51 @p37))
% 0.45/0.64  (step @p53 :rule refl :args (@t94))
% 0.45/0.64  (step @p54 :rule cong :premises (@p53 @p22) :args ((= @t94 @t98)))
% 0.45/0.64  (step @p55 :rule symm :premises (@p54))
% 0.45/0.64  (step @p56 :rule eq_resolve :premises (@p53 @p55))
% 0.45/0.64  (step @p57 :rule ho_cong :premises (@p25 @p56))
% 0.45/0.64  (step @p58 :rule ho_cong :premises (@p57 @p52))
% 0.45/0.64  (step @p59 :rule trans :premises (@p58 @p31))
% 0.45/0.64  (step @p60 :rule refl :args ((tptp.setadjoin @t52 @t51)))
% 0.45/0.64  (step @p61 :rule refl :args ((tptp.setadjoin @t50 tptp.emptyset)))
% 0.45/0.64  (step @p62 :rule refl :args ((tptp.setadjoin @t7 @t48)))
% 0.45/0.64  (step @p63 :rule refl :args (@t102))
% 0.45/0.64  (step @p64 :rule refl :args (@t7))
% 0.45/0.64  (step @p65 :rule cong :premises (@p64 @p63) :args (@t103))
% 0.45/0.64  (step @p66 :rule trans :premises (@p65 @p62))
% 0.45/0.64  (step @p67 :rule cong :premises (@p66 @p14) :args (@t104))
% 0.45/0.64  (step @p68 :rule trans :premises (@p67 @p61))
% 0.45/0.64  (step @p69 :rule refl :args (@t85))
% 0.45/0.64  (step @p70 :rule cong :premises (@p69 @p68) :args (@t105))
% 0.45/0.64  (step @p71 :rule trans :premises (@p70 @p60))
% 0.45/0.64  (step @p72 :rule ho_cong :premises (@p25 @p69))
% 0.45/0.64  (step @p73 :rule ho_cong :premises (@p72 @p68))
% 0.45/0.64  (step @p74 :rule cong :premises (@p73 @p71) :args ((= (_ (_ tptp.setadjoin @t85) @t104) @t105)))
% 0.45/0.64  (step @p75 :rule symm :premises (@p74))
% 0.45/0.64  (step @p76 :rule refl :args (@t53))
% 0.45/0.64  (step @p77 :rule eq_resolve :premises (@p76 @p75))
% 0.45/0.64  (step @p78 :rule ho_cong :premises (@p25 @p66))
% 0.45/0.64  (step @p79 :rule ho_cong :premises (@p78 @p14))
% 0.45/0.64  (step @p80 :rule cong :premises (@p79 @p68) :args ((= (_ (_ tptp.setadjoin @t103) tptp.emptyset) @t104)))
% 0.45/0.64  (step @p81 :rule symm :premises (@p80))
% 0.45/0.64  (step @p82 :rule refl :args (@t51))
% 0.45/0.64  (step @p83 :rule eq_resolve :premises (@p82 @p81))
% 0.45/0.64  (step @p84 :rule refl :args (@t49))
% 0.45/0.64  (step @p85 :rule ho_cong :premises (@p84 @p63))
% 0.45/0.64  (step @p86 :rule cong :premises (@p85 @p66) :args ((= (_ @t49 @t102) @t103)))
% 0.45/0.64  (step @p87 :rule symm :premises (@p86))
% 0.45/0.64  (step @p88 :rule refl :args (@t50))
% 0.45/0.64  (step @p89 :rule eq_resolve :premises (@p88 @p87))
% 0.45/0.64  (step @p90 :rule refl :args (@t48))
% 0.45/0.64  (step @p91 :rule cong :premises (@p90 @p63) :args ((= @t48 @t102)))
% 0.45/0.64  (step @p92 :rule symm :premises (@p91))
% 0.45/0.64  (step @p93 :rule eq_resolve :premises (@p90 @p92))
% 0.45/0.64  (step @p94 :rule ho_cong :premises (@p84 @p93))
% 0.45/0.64  (step @p95 :rule trans :premises (@p94 @p89))
% 0.45/0.64  (step @p96 :rule ho_cong :premises (@p25 @p95))
% 0.45/0.64  (step @p97 :rule ho_cong :premises (@p96 @p14))
% 0.45/0.64  (step @p98 :rule trans :premises (@p97 @p83))
% 0.45/0.64  (step @p99 :rule refl :args (@t52))
% 0.45/0.64  (step @p100 :rule cong :premises (@p99 @p69) :args ((= @t52 @t85)))
% 0.45/0.64  (step @p101 :rule symm :premises (@p100))
% 0.45/0.64  (step @p102 :rule eq_resolve :premises (@p99 @p101))
% 0.45/0.64  (step @p103 :rule ho_cong :premises (@p25 @p102))
% 0.45/0.64  (step @p104 :rule ho_cong :premises (@p103 @p98))
% 0.45/0.64  (step @p105 :rule trans :premises (@p104 @p77))
% 0.45/0.64  (step @p106 :rule cong :premises (@p105 @p59) :args (@t106))
% 0.45/0.64  (step @p107 :rule cong :premises (@p106) :args (@t107))
% 0.45/0.64  (step @p108 :rule nary_cong :premises (@p107 @p11) :args (@t108))
% 0.45/0.64  (step @p109 :rule cong :premises (@p108) :args ((forall @t32 @t108)))
% 0.45/0.64  (step @p110 :rule bool-impl-elim :args (@t106 @t28))
% 0.45/0.64  (step @p111 :rule cong :premises (@p110) :args ((forall @t32 (=> @t106 @t28))))
% 0.45/0.64  (step @p112 :rule trans :premises (@p111 @p109))
% 0.45/0.64  (step @p113 :rule refl :args (@t28))
% 0.45/0.64  (step @p114 :rule beta-reduce :args ((= (_ @t109 @t27) @t101)))
% 0.45/0.64  (step @p115 :rule refl :args (@t27))
% 0.45/0.64  (step @p116 :rule beta-reduce :args ((= @t110 @t109)))
% 0.45/0.64  (step @p117 :rule ho_cong :premises (@p116 @p115))
% 0.45/0.64  (step @p118 :rule trans :premises (@p117 @p114))
% 0.45/0.64  (step @p119 :rule beta-reduce :args ((= (_ @t111 @t1) @t53)))
% 0.45/0.64  (step @p120 :rule refl :args (@t1))
% 0.45/0.64  (step @p121 :rule beta-reduce :args ((= @t112 @t111)))
% 0.45/0.64  (step @p122 :rule ho_cong :premises (@p121 @p120))
% 0.45/0.64  (step @p123 :rule trans :premises (@p122 @p119))
% 0.45/0.64  (step @p124 :rule cong :premises (@p123 @p118) :args (@t114))
% 0.45/0.64  (step @p125 :rule cong :premises (@p124 @p113) :args (@t115))
% 0.45/0.64  (step @p126 :rule cong :premises (@p125) :args (@t116))
% 0.45/0.64  (step @p127 :rule trans :premises (@p126 @p112))
% 0.45/0.64  (step @p128 :rule refl :args (tptp.setukpairinjR))
% 0.45/0.64  (step @p129 :rule cong :premises (@p128 @p127) :args ((= tptp.setukpairinjR @t116)))
% 0.45/0.64  (step @p130 :rule refl :args (@t29))
% 0.45/0.64  (step @p131 :rule ho_cong :premises (@p7 @p130))
% 0.45/0.64  (step @p132 :rule ho_cong :premises (@p131 @p115))
% 0.45/0.64  (step @p133 :rule refl :args (@t7))
% 0.45/0.64  (step @p134 :rule ho_cong :premises (@p7 @p133))
% 0.45/0.64  (step @p135 :rule ho_cong :premises (@p134 @p120))
% 0.45/0.64  (step @p136 :rule cong :premises (@p135 @p132) :args (@t30))
% 0.45/0.64  (step @p137 :rule cong :premises (@p136 @p113) :args (@t31))
% 0.45/0.64  (step @p138 :rule cong :premises (@p137) :args (@t33))
% 0.45/0.64  (step @p139 :rule cong :premises (@p128 @p138) :args (@t34))
% 0.45/0.64  (step @p140 :rule trans :premises (@p139 @p129))
% 0.45/0.64  (step @p141 :rule eq_resolve :premises (@p3 @p140))
% 0.45/0.64  (step @p142 :rule cong :premises (@p141 @p10) :args (@t117))
% 0.45/0.64  (step @p143 :rule refl :args ((tptp.kfst @t53)))
% 0.45/0.64  (step @p144 :rule cong :premises (@p71) :args (@t118))
% 0.45/0.64  (step @p145 :rule trans :premises (@p144 @p143))
% 0.45/0.64  (step @p146 :rule refl :args (tptp.kfst))
% 0.45/0.64  (step @p147 :rule ho_cong :premises (@p146 @p71))
% 0.45/0.64  (step @p148 :rule cong :premises (@p147 @p145) :args ((= (_ tptp.kfst @t105) @t118)))
% 0.45/0.64  (step @p149 :rule symm :premises (@p148))
% 0.45/0.64  (step @p150 :rule refl :args (@t119))
% 0.45/0.64  (step @p151 :rule eq_resolve :premises (@p150 @p149))
% 0.45/0.64  (step @p152 :rule ho_cong :premises (@p146 @p105))
% 0.45/0.64  (step @p153 :rule trans :premises (@p152 @p151))
% 0.45/0.64  (step @p154 :rule cong :premises (@p64 @p153) :args (@t120))
% 0.45/0.64  (step @p155 :rule cong :premises (@p154) :args ((forall @t24 @t120)))
% 0.45/0.64  (step @p156 :rule eq-symm :args (@t119 @t7))
% 0.45/0.64  (step @p157 :rule refl :args (tptp.kfst))
% 0.45/0.64  (step @p158 :rule ho_cong :premises (@p157 @p123))
% 0.45/0.64  (step @p159 :rule cong :premises (@p158 @p133) :args (@t121))
% 0.45/0.64  (step @p160 :rule trans :premises (@p159 @p156))
% 0.45/0.64  (step @p161 :rule cong :premises (@p160) :args (@t122))
% 0.45/0.64  (step @p162 :rule trans :premises (@p161 @p155))
% 0.45/0.64  (step @p163 :rule refl :args (tptp.kfstpairEq))
% 0.45/0.64  (step @p164 :rule cong :premises (@p163 @p162) :args ((= tptp.kfstpairEq @t122)))
% 0.45/0.64  (step @p165 :rule ho_cong :premises (@p157 @p135))
% 0.45/0.64  (step @p166 :rule cong :premises (@p165 @p133) :args (@t23))
% 0.45/0.64  (step @p167 :rule cong :premises (@p166) :args (@t25))
% 0.45/0.64  (step @p168 :rule cong :premises (@p163 @p167) :args (@t26))
% 0.45/0.64  (step @p169 :rule trans :premises (@p168 @p164))
% 0.45/0.64  (step @p170 :rule eq_resolve :premises (@p2 @p169))
% 0.45/0.64  (step @p171 :rule cong :premises (@p170 @p142) :args (@t123))
% 0.45/0.64  (step @p172 :rule refl :args (@t129))
% 0.45/0.64  (step @p173 :rule refl :args (@t134))
% 0.45/0.64  (step @p174 :rule refl :args (@t135))
% 0.45/0.64  (step @p175 :rule refl :args (@t14))
% 0.45/0.64  (step @p176 :rule cong :premises (@p175 @p174) :args ((= @t14 @t135)))
% 0.45/0.64  (step @p177 :rule symm :premises (@p176))
% 0.45/0.64  (step @p178 :rule eq_resolve :premises (@p175 @p177))
% 0.45/0.64  (step @p179 :rule cong :premises (@p178) :args (@t136))
% 0.45/0.64  (step @p180 :rule refl :args (@t137))
% 0.45/0.64  (step @p181 :rule refl :args (@t17))
% 0.45/0.64  (step @p182 :rule cong :premises (@p181 @p180) :args ((= @t17 @t137)))
% 0.45/0.64  (step @p183 :rule symm :premises (@p182))
% 0.45/0.64  (step @p184 :rule eq_resolve :premises (@p181 @p183))
% 0.45/0.64  (step @p185 :rule cong :premises (@p184) :args (@t138))
% 0.45/0.64  (step @p186 :rule nary_cong :premises (@p185 @p179 @p173 @p172) :args (@t139))
% 0.45/0.64  (step @p187 :rule cong :premises (@p186) :args ((forall @t19 @t139)))
% 0.45/0.64  (step @p188 :rule aci_norm :args ((= (or @t138 @t140) @t139)))
% 0.45/0.64  (step @p189 :rule aci_norm :args ((= (or @t136 (or @t134 @t129)) @t140)))
% 0.45/0.64  (step @p190 :rule bool-impl-elim :args (@t133 @t129))
% 0.45/0.64  (step @p191 :rule refl :args (@t136))
% 0.45/0.64  (step @p192 :rule nary_cong :premises (@p191 @p190) :args ((or @t136 @t141)))
% 0.45/0.64  (step @p193 :rule trans :premises (@p192 @p189))
% 0.45/0.64  (step @p194 :rule bool-impl-elim :args (@t14 @t141))
% 0.45/0.64  (step @p195 :rule trans :premises (@p194 @p193))
% 0.45/0.64  (step @p196 :rule refl :args (@t138))
% 0.45/0.64  (step @p197 :rule nary_cong :premises (@p196 @p195) :args ((or @t138 @t142)))
% 0.45/0.64  (step @p198 :rule trans :premises (@p197 @p188))
% 0.45/0.64  (step @p199 :rule bool-impl-elim :args (@t17 @t142))
% 0.45/0.64  (step @p200 :rule trans :premises (@p199 @p198))
% 0.45/0.64  (step @p201 :rule cong :premises (@p200) :args ((forall @t19 (=> @t17 @t142))))
% 0.45/0.64  (step @p202 :rule trans :premises (@p201 @p187))
% 0.45/0.64  (step @p203 :rule eq-symm :args (@t125 @t126))
% 0.45/0.64  (step @p204 :rule cong :premises (@p203) :args (@t143))
% 0.45/0.64  (step @p205 :rule refl :args (@t127))
% 0.45/0.64  (step @p206 :rule nary_cong :premises (@p205 @p204) :args (@t144))
% 0.45/0.64  (step @p207 :rule cong :premises (@p206) :args (@t145))
% 0.45/0.64  (step @p208 :rule cong :premises (@p207) :args (@t146))
% 0.45/0.64  (step @p209 :rule refl :args (@t133))
% 0.45/0.64  (step @p210 :rule cong :premises (@p209 @p208) :args (@t147))
% 0.45/0.64  (step @p211 :rule refl :args (@t14))
% 0.45/0.64  (step @p212 :rule cong :premises (@p211 @p210) :args (@t148))
% 0.45/0.64  (step @p213 :rule refl :args (@t17))
% 0.45/0.64  (step @p214 :rule cong :premises (@p213 @p212) :args (@t149))
% 0.45/0.64  (step @p215 :rule cong :premises (@p214) :args ((forall @t19 @t149)))
% 0.45/0.64  (step @p216 :rule trans :premises (@p215 @p202))
% 0.45/0.64  (step @p217 :rule alpha_equiv :args (@t150 @t151 (@list @t124)))
% 0.45/0.64  (step @p218 :rule cong :premises (@p217) :args (@t152))
% 0.45/0.64  (step @p219 :rule refl :args (@t133))
% 0.45/0.64  (step @p220 :rule cong :premises (@p219 @p218) :args (@t153))
% 0.45/0.64  (step @p221 :rule cong :premises (@p175 @p220) :args (@t154))
% 0.45/0.64  (step @p222 :rule cong :premises (@p181 @p221) :args (@t155))
% 0.45/0.64  (step @p223 :rule cong :premises (@p222) :args ((forall @t19 @t155)))
% 0.45/0.64  (step @p224 :rule trans :premises (@p223 @p216))
% 0.45/0.64  (step @p225 :rule lambda-elim :args ((= @t156 @t2)))
% 0.45/0.64  (step @p226 :rule refl :args (@t6))
% 0.45/0.64  (step @p227 :rule cong :premises (@p226 @p225) :args (@t157))
% 0.45/0.64  (step @p228 :rule refl :args (@t85))
% 0.45/0.64  (step @p229 :rule cong :premises (@p228 @p227) :args (@t158))
% 0.45/0.64  (step @p230 :rule cong :premises (@p229) :args (@t159))
% 0.45/0.64  (step @p231 :rule cong :premises (@p133 @p227) :args (@t160))
% 0.45/0.64  (step @p232 :rule cong :premises (@p231) :args (@t161))
% 0.45/0.64  (step @p233 :rule nary_cong :premises (@p232 @p230) :args (@t162))
% 0.45/0.64  (step @p234 :rule cong :premises (@p233) :args ((forall @t37 @t162)))
% 0.45/0.64  (step @p235 :rule refl :args (@t131))
% 0.45/0.64  (step @p236 :rule refl :args (@t3))
% 0.45/0.64  (step @p237 :rule cong :premises (@p236 @p235) :args ((= @t3 @t131)))
% 0.45/0.64  (step @p238 :rule symm :premises (@p237))
% 0.45/0.64  (step @p239 :rule eq_resolve :premises (@p236 @p238))
% 0.45/0.64  (step @p240 :rule cong :premises (@p239) :args (@t5))
% 0.45/0.64  (step @p241 :rule refl :args (@t6))
% 0.45/0.64  (step @p242 :rule cong :premises (@p241 @p240) :args (@t163))
% 0.45/0.64  (step @p243 :rule refl :args (@t85))
% 0.45/0.64  (step @p244 :rule cong :premises (@p243 @p242) :args (@t164))
% 0.45/0.64  (step @p245 :rule cong :premises (@p244) :args (@t165))
% 0.45/0.64  (step @p246 :rule cong :premises (@p64 @p242) :args (@t166))
% 0.45/0.64  (step @p247 :rule cong :premises (@p246) :args (@t167))
% 0.45/0.64  (step @p248 :rule nary_cong :premises (@p247 @p245) :args (@t168))
% 0.45/0.64  (step @p249 :rule cong :premises (@p248) :args (@t169))
% 0.45/0.64  (step @p250 :rule trans :premises (@p249 @p234))
% 0.45/0.64  (step @p251 :rule cong :premises (@p250) :args (@t170))
% 0.45/0.64  (step @p252 :rule beta-reduce :args ((= (_ @t171 @t5) @t170)))
% 0.45/0.64  (step @p253 :rule trans :premises (@p252 @p251))
% 0.45/0.64  (step @p254 :rule refl :args (@t5))
% 0.45/0.64  (step @p255 :rule beta-reduce :args ((= @t172 @t171)))
% 0.45/0.64  (step @p256 :rule ho_cong :premises (@p255 @p254))
% 0.45/0.64  (step @p257 :rule trans :premises (@p256 @p253))
% 0.45/0.64  (step @p258 :rule refl :args (@t130))
% 0.45/0.64  (step @p259 :rule cong :premises (@p239) :args (@t173))
% 0.45/0.64  (step @p260 :rule refl :args (@t132))
% 0.45/0.64  (step @p261 :rule refl :args (@t10))
% 0.45/0.64  (step @p262 :rule cong :premises (@p261 @p260) :args ((= @t10 @t132)))
% 0.45/0.64  (step @p263 :rule symm :premises (@p262))
% 0.45/0.64  (step @p264 :rule eq_resolve :premises (@p261 @p263))
% 0.45/0.64  (step @p265 :rule cong :premises (@p264) :args (@t174))
% 0.45/0.64  (step @p266 :rule nary_cong :premises (@p265 @p259 @p258) :args (@t175))
% 0.45/0.64  (step @p267 :rule cong :premises (@p266) :args ((forall @t4 @t175)))
% 0.45/0.64  (step @p268 :rule aci_norm :args ((= (or @t174 (or @t173 @t130)) @t175)))
% 0.45/0.64  (step @p269 :rule bool-impl-elim :args (@t3 @t130))
% 0.45/0.64  (step @p270 :rule refl :args (@t174))
% 0.45/0.64  (step @p271 :rule nary_cong :premises (@p270 @p269) :args ((or @t174 @t176)))
% 0.45/0.64  (step @p272 :rule trans :premises (@p271 @p268))
% 0.45/0.64  (step @p273 :rule bool-impl-elim :args (@t10 @t176))
% 0.45/0.64  (step @p274 :rule trans :premises (@p273 @p272))
% 0.45/0.64  (step @p275 :rule cong :premises (@p274) :args ((forall @t4 (=> @t10 @t176))))
% 0.45/0.64  (step @p276 :rule trans :premises (@p275 @p267))
% 0.45/0.64  (step @p277 :rule eq-symm :args (@t1 @t7))
% 0.45/0.64  (step @p278 :rule refl :args (@t3))
% 0.45/0.64  (step @p279 :rule cong :premises (@p278 @p277) :args (@t8))
% 0.45/0.64  (step @p280 :rule refl :args (@t10))
% 0.45/0.64  (step @p281 :rule cong :premises (@p280 @p279) :args (@t11))
% 0.45/0.64  (step @p282 :rule cong :premises (@p281) :args (@t12))
% 0.45/0.64  (step @p283 :rule trans :premises (@p282 @p276))
% 0.45/0.64  (step @p284 :rule cong :premises (@p283 @p257) :args (@t177))
% 0.45/0.64  (step @p285 :rule cong :premises (@p211 @p284) :args (@t178))
% 0.45/0.64  (step @p286 :rule cong :premises (@p213 @p285) :args (@t179))
% 0.45/0.64  (step @p287 :rule cong :premises (@p286) :args (@t180))
% 0.45/0.64  (step @p288 :rule trans :premises (@p287 @p224))
% 0.45/0.64  (step @p289 :rule refl :args (tptp.ex1I))
% 0.45/0.64  (step @p290 :rule cong :premises (@p289 @p288) :args ((= tptp.ex1I @t180)))
% 0.45/0.64  (step @p291 :rule lambda-elim :args ((= @t184 @t2)))
% 0.45/0.64  (step @p292 :rule cong :premises (@p226 @p291) :args (@t185))
% 0.45/0.64  (step @p293 :rule cong :premises (@p228 @p292) :args (@t186))
% 0.45/0.64  (step @p294 :rule cong :premises (@p293) :args (@t187))
% 0.45/0.64  (step @p295 :rule cong :premises (@p133 @p292) :args (@t188))
% 0.45/0.64  (step @p296 :rule cong :premises (@p295) :args (@t189))
% 0.45/0.64  (step @p297 :rule nary_cong :premises (@p296 @p294) :args (@t190))
% 0.45/0.64  (step @p298 :rule cong :premises (@p297) :args ((forall @t37 @t190)))
% 0.45/0.64  (step @p299 :rule refl :args ((tptp.dsetconstr @t6 @t192)))
% 0.45/0.64  (step @p300 :rule refl :args (@t182))
% 0.45/0.64  (step @p301 :rule cong :premises (@p300) :args (@t184))
% 0.45/0.64  (step @p302 :rule cong :premises (@p241 @p301) :args (@t185))
% 0.45/0.64  (step @p303 :rule trans :premises (@p302 @p299))
% 0.45/0.64  (step @p304 :rule refl :args (@t70))
% 0.45/0.64  (step @p305 :rule ho_cong :premises (@p304 @p301))
% 0.45/0.64  (step @p306 :rule cong :premises (@p305 @p303) :args ((= (_ @t70 @t184) @t185)))
% 0.45/0.64  (step @p307 :rule symm :premises (@p306))
% 0.45/0.64  (step @p308 :rule refl :args (@t193))
% 0.45/0.64  (step @p309 :rule eq_resolve :premises (@p308 @p307))
% 0.45/0.64  (step @p310 :rule refl :args (@t191))
% 0.45/0.64  (step @p311 :rule cong :premises (@p310 @p300) :args ((= @t191 @t182)))
% 0.45/0.64  (step @p312 :rule symm :premises (@p311))
% 0.45/0.64  (step @p313 :rule eq_resolve :premises (@p310 @p312))
% 0.45/0.64  (step @p314 :rule cong :premises (@p313) :args (@t192))
% 0.45/0.64  (step @p315 :rule ho_cong :premises (@p304 @p314))
% 0.45/0.64  (step @p316 :rule trans :premises (@p315 @p309))
% 0.45/0.64  (step @p317 :rule cong :premises (@p243 @p316) :args (@t194))
% 0.45/0.64  (step @p318 :rule cong :premises (@p317) :args (@t195))
% 0.45/0.64  (step @p319 :rule cong :premises (@p64 @p316) :args (@t196))
% 0.45/0.64  (step @p320 :rule cong :premises (@p319) :args (@t197))
% 0.45/0.64  (step @p321 :rule nary_cong :premises (@p320 @p318) :args (@t198))
% 0.45/0.64  (step @p322 :rule cong :premises (@p321) :args ((forall @t37 @t198)))
% 0.45/0.64  (step @p323 :rule trans :premises (@p322 @p298))
% 0.45/0.64  (step @p324 :rule alpha_equiv :args (@t69 @t151 (@list @t181)))
% 0.45/0.64  (step @p325 :rule ho_cong :premises (@p304 @p324))
% 0.45/0.64  (step @p326 :rule cong :premises (@p243 @p325) :args (@t199))
% 0.45/0.64  (step @p327 :rule cong :premises (@p326) :args (@t200))
% 0.45/0.64  (step @p328 :rule cong :premises (@p64 @p325) :args (@t201))
% 0.45/0.64  (step @p329 :rule cong :premises (@p328) :args (@t202))
% 0.45/0.64  (step @p330 :rule nary_cong :premises (@p329 @p327) :args (@t203))
% 0.45/0.64  (step @p331 :rule cong :premises (@p330) :args ((forall @t37 @t203)))
% 0.45/0.64  (step @p332 :rule trans :premises (@p331 @p323))
% 0.45/0.64  (step @p333 :rule eq-symm :args (@t71 @t85))
% 0.45/0.64  (step @p334 :rule cong :premises (@p333) :args (@t204))
% 0.45/0.64  (step @p335 :rule refl :args (@t202))
% 0.45/0.64  (step @p336 :rule nary_cong :premises (@p335 @p334) :args (@t205))
% 0.45/0.64  (step @p337 :rule cong :premises (@p336) :args (@t206))
% 0.45/0.64  (step @p338 :rule trans :premises (@p337 @p332))
% 0.45/0.64  (step @p339 :rule cong :premises (@p338) :args (@t207))
% 0.45/0.64  (step @p340 :rule beta-reduce :args ((= (_ @t209 @t71) @t207)))
% 0.45/0.64  (step @p341 :rule trans :premises (@p340 @p339))
% 0.45/0.64  (step @p342 :rule refl :args (@t71))
% 0.45/0.64  (step @p343 :rule cong :premises (@p241 @p102) :args (@t65))
% 0.45/0.64  (step @p344 :rule cong :premises (@p343) :args (@t210))
% 0.45/0.64  (step @p345 :rule nary_cong :premises (@p185 @p344) :args (@t211))
% 0.45/0.64  (step @p346 :rule cong :premises (@p345) :args ((forall @t37 @t211)))
% 0.45/0.64  (step @p347 :rule bool-and-de-morgan :args (@t17 @t65 true))
% 0.45/0.64  (step @p348 :rule cong :premises (@p347) :args (@t212))
% 0.45/0.64  (step @p349 :rule trans :premises (@p348 @p346))
% 0.45/0.64  (step @p350 :rule cong :premises (@p349) :args (@t213))
% 0.45/0.64  (step @p351 :rule exists-elim :args ((= @t67 @t213)))
% 0.45/0.64  (step @p352 :rule trans :premises (@p351 @p350))
% 0.45/0.64  (step @p353 :rule cong :premises (@p352) :args (@t68))
% 0.45/0.64  (step @p354 :rule trans :premises (@p8 @p353))
% 0.45/0.64  (step @p355 :rule ho_cong :premises (@p354 @p342))
% 0.45/0.64  (step @p356 :rule trans :premises (@p355 @p341))
% 0.45/0.64  (step @p357 :rule cong :premises (@p356) :args (@t73))
% 0.45/0.64  (step @p358 :rule trans :premises (@p9 @p357))
% 0.45/0.64  (step @p359 :rule ho_cong :premises (@p358 @p226))
% 0.45/0.64  (step @p360 :rule ho_cong :premises (@p359 @p254))
% 0.45/0.64  (step @p361 :rule refl :args (@t12))
% 0.45/0.64  (step @p362 :rule cong :premises (@p361 @p360) :args (@t13))
% 0.45/0.64  (step @p363 :rule cong :premises (@p211 @p362) :args (@t15))
% 0.45/0.64  (step @p364 :rule cong :premises (@p213 @p363) :args (@t18))
% 0.45/0.64  (step @p365 :rule cong :premises (@p364) :args (@t20))
% 0.45/0.64  (step @p366 :rule cong :premises (@p289 @p365) :args (@t21))
% 0.45/0.64  (step @p367 :rule trans :premises (@p366 @p290))
% 0.45/0.64  (step @p368 :rule eq_resolve :premises (@p1 @p367))
% 0.45/0.64  (step @p369 :rule cong :premises (@p368 @p171) :args (@t214))
% 0.45/0.64  (step @p370 :rule cong :premises (@p369) :args ((not @t214)))
% 0.45/0.64  (step @p371 :rule aci_norm :args ((= (or @t86 @t79 @t78 false) @t87)))
% 0.45/0.64  (step @p372 :rule evaluate :args ((not true)))
% 0.45/0.64  (step @p373 :rule eq-refl :args (@t76))
% 0.45/0.64  (step @p374 :rule cong :premises (@p373) :args (@t215))
% 0.45/0.64  (step @p375 :rule trans :premises (@p374 @p372))
% 0.45/0.64  (step @p376 :rule refl :args (@t78))
% 0.45/0.64  (step @p377 :rule refl :args (@t79))
% 0.45/0.64  (step @p378 :rule refl :args (@t86))
% 0.45/0.64  (step @p379 :rule nary_cong :premises (@p378 @p377 @p376 @p375) :args (@t216))
% 0.45/0.64  (step @p380 :rule trans :premises (@p379 @p371))
% 0.45/0.64  (step @p381 :rule cong :premises (@p380) :args ((forall @t88 @t216)))
% 0.45/0.64  (step @p382 :rule quant-var-elim-eq :args ((= (forall @t42 @t230) @t216)))
% 0.45/0.64  (step @p383 :rule aci_norm :args ((= @t231 @t230)))
% 0.45/0.64  (step @p384 :rule cong :premises (@p383) :args (@t232))
% 0.45/0.64  (step @p385 :rule trans :premises (@p384 @p382))
% 0.45/0.64  (step @p386 :rule cong :premises (@p385) :args (@t233))
% 0.45/0.64  (step @p387 :rule quant-merge-prenex :args ((= @t233 @t234)))
% 0.45/0.64  (step @p388 :rule symm :premises (@p387))
% 0.45/0.64  (step @p389 :rule quant_var_reordering :args ((= (forall @t235 @t231) @t234)))
% 0.45/0.64  (step @p390 :rule trans :premises (@p389 @p388 @p386))
% 0.45/0.64  (step @p391 :rule trans :premises (@p390 @p381))
% 0.45/0.64  (step @p392 :rule eq-symm :args (@t76 @t27))
% 0.45/0.64  (step @p393 :rule cong :premises (@p392) :args (@t236))
% 0.45/0.64  (step @p394 :rule refl :args (@t219))
% 0.45/0.64  (step @p395 :rule refl :args (@t220))
% 0.45/0.64  (step @p396 :rule refl :args (@t229))
% 0.45/0.64  (step @p397 :rule nary_cong :premises (@p396 @p395 @p394 @p393) :args (@t237))
% 0.45/0.64  (step @p398 :rule aci_norm :args ((= @t239 @t237)))
% 0.45/0.64  (step @p399 :rule trans :premises (@p398 @p397))
% 0.45/0.64  (step @p400 :rule cong :premises (@p399) :args (@t240))
% 0.45/0.64  (step @p401 :rule trans :premises (@p400 @p391))
% 0.45/0.64  (step @p402 :rule quant-merge-prenex :args ((= (forall @t42 @t241) @t240)))
% 0.45/0.64  (step @p403 :rule refl :args (@t229))
% 0.45/0.64  (step @p404 :rule alpha_equiv :args (@t242 (@list @t75 @t74) (@list @t7 @t243)))
% 0.45/0.64  (step @p405 :rule nary_cong :premises (@p404 @p403) :args (@t244))
% 0.45/0.64  (step @p406 :rule quant-miniscope-or :args ((= @t241 @t244)))
% 0.45/0.64  (step @p407 :rule trans :premises (@p406 @p405))
% 0.45/0.64  (step @p408 :rule symm :premises (@p407))
% 0.45/0.64  (step @p409 :rule cong :premises (@p408) :args ((forall @t42 (or @t249 @t229))))
% 0.45/0.64  (step @p410 :rule trans :premises (@p409 @p402))
% 0.45/0.64  (step @p411 :rule trans :premises (@p410 @p401))
% 0.45/0.64  (step @p412 :rule bool-double-not-elim :args (@t249))
% 0.45/0.64  (step @p413 :rule nary_cong :premises (@p412 @p403) :args ((or (not @t250) @t229)))
% 0.45/0.64  (step @p414 :rule bool-impl-elim :args (@t250 @t229))
% 0.45/0.64  (step @p415 :rule trans :premises (@p414 @p413))
% 0.45/0.64  (step @p416 :rule cong :premises (@p415) :args ((forall @t42 (=> @t250 @t229))))
% 0.45/0.64  (step @p417 :rule trans :premises (@p416 @p411))
% 0.45/0.64  (step @p418 :rule refl :args ((tptp.dsetconstr @t39 @t259)))
% 0.45/0.64  (step @p419 :rule refl :args ((tptp.setadjoin @t255 @t254)))
% 0.45/0.64  (step @p420 :rule refl :args ((tptp.setadjoin @t253 tptp.emptyset)))
% 0.45/0.64  (step @p421 :rule refl :args ((tptp.setadjoin @t35 @t251)))
% 0.45/0.64  (step @p422 :rule refl :args (@t81))
% 0.45/0.64  (step @p423 :rule refl :args (@t221))
% 0.45/0.64  (step @p424 :rule cong :premises (@p423 @p422) :args (@t222))
% 0.45/0.64  (step @p425 :rule trans :premises (@p424 @p421))
% 0.45/0.64  (step @p426 :rule cong :premises (@p425 @p14) :args (@t223))
% 0.45/0.64  (step @p427 :rule trans :premises (@p426 @p420))
% 0.45/0.64  (step @p428 :rule refl :args ((tptp.setadjoin @t35 tptp.emptyset)))
% 0.45/0.64  (step @p429 :rule cong :premises (@p423 @p14) :args (@t224))
% 0.45/0.64  (step @p430 :rule trans :premises (@p429 @p428))
% 0.45/0.64  (step @p431 :rule cong :premises (@p430 @p427) :args (@t225))
% 0.45/0.64  (step @p432 :rule trans :premises (@p431 @p419))
% 0.45/0.64  (step @p433 :rule refl :args (@t27))
% 0.45/0.64  (step @p434 :rule cong :premises (@p433 @p432) :args (@t226))
% 0.45/0.64  (step @p435 :rule cong :premises (@p434) :args (@t227))
% 0.45/0.64  (step @p436 :rule refl :args (@t218))
% 0.45/0.64  (step @p437 :rule cong :premises (@p436 @p435) :args (@t228))
% 0.45/0.64  (step @p438 :rule trans :premises (@p437 @p418))
% 0.45/0.64  (step @p439 :rule refl :args (tptp.dsetconstr))
% 0.45/0.64  (step @p440 :rule ho_cong :premises (@p439 @p436))
% 0.45/0.64  (step @p441 :rule ho_cong :premises (@p440 @p435))
% 0.45/0.64  (step @p442 :rule cong :premises (@p441 @p438) :args ((= (_ (_ tptp.dsetconstr @t218) @t227) @t228)))
% 0.45/0.64  (step @p443 :rule symm :premises (@p442))
% 0.45/0.64  (step @p444 :rule refl :args (@t260))
% 0.45/0.64  (step @p445 :rule eq_resolve :premises (@p444 @p443))
% 0.45/0.64  (step @p446 :rule ho_cong :premises (@p25 @p430))
% 0.45/0.64  (step @p447 :rule ho_cong :premises (@p446 @p427))
% 0.45/0.64  (step @p448 :rule cong :premises (@p447 @p432) :args ((= (_ (_ tptp.setadjoin @t224) @t223) @t225)))
% 0.45/0.64  (step @p449 :rule symm :premises (@p448))
% 0.45/0.64  (step @p450 :rule refl :args (@t257))
% 0.45/0.64  (step @p451 :rule eq_resolve :premises (@p450 @p449))
% 0.45/0.64  (step @p452 :rule ho_cong :premises (@p25 @p425))
% 0.45/0.64  (step @p453 :rule ho_cong :premises (@p452 @p14))
% 0.45/0.64  (step @p454 :rule cong :premises (@p453 @p427) :args ((= (_ (_ tptp.setadjoin @t222) tptp.emptyset) @t223)))
% 0.45/0.64  (step @p455 :rule symm :premises (@p454))
% 0.45/0.64  (step @p456 :rule refl :args (@t254))
% 0.45/0.64  (step @p457 :rule eq_resolve :premises (@p456 @p455))
% 0.45/0.64  (step @p458 :rule ho_cong :premises (@p25 @p423))
% 0.45/0.64  (step @p459 :rule ho_cong :premises (@p458 @p422))
% 0.45/0.64  (step @p460 :rule cong :premises (@p459 @p425) :args ((= (_ @t261 @t81) @t222)))
% 0.45/0.64  (step @p461 :rule symm :premises (@p460))
% 0.45/0.64  (step @p462 :rule refl :args (@t253))
% 0.45/0.64  (step @p463 :rule eq_resolve :premises (@p462 @p461))
% 0.45/0.64  (step @p464 :rule refl :args (@t251))
% 0.45/0.64  (step @p465 :rule cong :premises (@p464 @p422) :args ((= @t251 @t81)))
% 0.45/0.64  (step @p466 :rule symm :premises (@p465))
% 0.45/0.64  (step @p467 :rule eq_resolve :premises (@p464 @p466))
% 0.45/0.64  (step @p468 :rule refl :args (@t35))
% 0.45/0.64  (step @p469 :rule cong :premises (@p468 @p423) :args ((= @t35 @t221)))
% 0.45/0.64  (step @p470 :rule symm :premises (@p469))
% 0.45/0.64  (step @p471 :rule eq_resolve :premises (@p468 @p470))
% 0.45/0.64  (step @p472 :rule ho_cong :premises (@p25 @p471))
% 0.45/0.64  (step @p473 :rule ho_cong :premises (@p472 @p467))
% 0.45/0.64  (step @p474 :rule trans :premises (@p473 @p463))
% 0.45/0.64  (step @p475 :rule ho_cong :premises (@p25 @p474))
% 0.45/0.64  (step @p476 :rule ho_cong :premises (@p475 @p14))
% 0.45/0.64  (step @p477 :rule trans :premises (@p476 @p457))
% 0.45/0.64  (step @p478 :rule ho_cong :premises (@p458 @p14))
% 0.45/0.64  (step @p479 :rule cong :premises (@p478 @p430) :args ((= (_ @t261 tptp.emptyset) @t224)))
% 0.45/0.64  (step @p480 :rule symm :premises (@p479))
% 0.45/0.64  (step @p481 :rule refl :args (@t255))
% 0.45/0.64  (step @p482 :rule eq_resolve :premises (@p481 @p480))
% 0.45/0.64  (step @p483 :rule ho_cong :premises (@p472 @p14))
% 0.45/0.64  (step @p484 :rule trans :premises (@p483 @p482))
% 0.45/0.64  (step @p485 :rule ho_cong :premises (@p25 @p484))
% 0.45/0.64  (step @p486 :rule ho_cong :premises (@p485 @p477))
% 0.45/0.64  (step @p487 :rule trans :premises (@p486 @p451))
% 0.45/0.64  (step @p488 :rule cong :premises (@p433 @p487) :args (@t258))
% 0.45/0.64  (step @p489 :rule cong :premises (@p488) :args (@t259))
% 0.45/0.64  (step @p490 :rule refl :args (@t39))
% 0.45/0.64  (step @p491 :rule cong :premises (@p490 @p436) :args ((= @t39 @t218)))
% 0.45/0.64  (step @p492 :rule symm :premises (@p491))
% 0.45/0.64  (step @p493 :rule eq_resolve :premises (@p490 @p492))
% 0.45/0.64  (step @p494 :rule ho_cong :premises (@p439 @p493))
% 0.45/0.64  (step @p495 :rule ho_cong :premises (@p494 @p489))
% 0.45/0.64  (step @p496 :rule trans :premises (@p495 @p445))
% 0.45/0.64  (step @p497 :rule cong :premises (@p243 @p496) :args (@t262))
% 0.45/0.64  (step @p498 :rule cong :premises (@p497) :args (@t263))
% 0.45/0.64  (step @p499 :rule cong :premises (@p64 @p496) :args (@t264))
% 0.45/0.64  (step @p500 :rule cong :premises (@p499) :args (@t265))
% 0.45/0.64  (step @p501 :rule nary_cong :premises (@p500 @p498) :args (@t266))
% 0.45/0.64  (step @p502 :rule cong :premises (@p501) :args ((forall @t37 @t266)))
% 0.45/0.64  (step @p503 :rule alpha_equiv :args (@t268 @t151 (@list @t80)))
% 0.45/0.64  (step @p504 :rule refl :args (@t40))
% 0.45/0.64  (step @p505 :rule ho_cong :premises (@p504 @p503))
% 0.45/0.64  (step @p506 :rule cong :premises (@p243 @p505) :args (@t270))
% 0.45/0.64  (step @p507 :rule cong :premises (@p506) :args (@t271))
% 0.45/0.64  (step @p508 :rule cong :premises (@p64 @p505) :args (@t272))
% 0.45/0.64  (step @p509 :rule cong :premises (@p508) :args (@t273))
% 0.45/0.64  (step @p510 :rule nary_cong :premises (@p509 @p507) :args (@t274))
% 0.45/0.64  (step @p511 :rule cong :premises (@p510) :args ((forall @t37 @t274)))
% 0.45/0.64  (step @p512 :rule trans :premises (@p511 @p502))
% 0.45/0.64  (step @p513 :rule eq-symm :args (@t269 @t85))
% 0.45/0.64  (step @p514 :rule cong :premises (@p513) :args (@t275))
% 0.45/0.64  (step @p515 :rule refl :args (@t273))
% 0.45/0.64  (step @p516 :rule nary_cong :premises (@p515 @p514) :args (@t276))
% 0.45/0.64  (step @p517 :rule cong :premises (@p516) :args (@t277))
% 0.45/0.64  (step @p518 :rule trans :premises (@p517 @p512))
% 0.45/0.64  (step @p519 :rule cong :premises (@p518) :args (@t278))
% 0.45/0.64  (step @p520 :rule beta-reduce :args ((= (_ @t209 @t269) @t278)))
% 0.45/0.64  (step @p521 :rule trans :premises (@p520 @p519))
% 0.45/0.64  (step @p522 :rule beta-reduce :args ((= (_ @t279 @t7) @t267)))
% 0.45/0.64  (step @p523 :rule beta-reduce :args ((= @t280 @t279)))
% 0.45/0.64  (step @p524 :rule ho_cong :premises (@p523 @p133))
% 0.45/0.64  (step @p525 :rule trans :premises (@p524 @p522))
% 0.45/0.64  (step @p526 :rule cong :premises (@p115 @p525) :args (@t281))
% 0.45/0.64  (step @p527 :rule cong :premises (@p526) :args (@t282))
% 0.45/0.64  (step @p528 :rule refl :args (@t40))
% 0.45/0.64  (step @p529 :rule ho_cong :premises (@p528 @p527))
% 0.45/0.64  (step @p530 :rule refl :args (@t209))
% 0.45/0.64  (step @p531 :rule ho_cong :premises (@p530 @p529))
% 0.45/0.64  (step @p532 :rule trans :premises (@p531 @p521))
% 0.45/0.64  (step @p533 :rule eq-symm :args (@t27 @t245))
% 0.45/0.64  (step @p534 :rule cong :premises (@p533) :args (@t283))
% 0.45/0.64  (step @p535 :rule refl :args (@t246))
% 0.45/0.64  (step @p536 :rule refl :args (@t247))
% 0.45/0.64  (step @p537 :rule nary_cong :premises (@p536 @p535 @p534) :args (@t284))
% 0.45/0.64  (step @p538 :rule cong :premises (@p537) :args (@t285))
% 0.45/0.64  (step @p539 :rule cong :premises (@p538) :args (@t286))
% 0.45/0.64  (step @p540 :rule beta-reduce :args ((= @t293 @t286)))
% 0.45/0.64  (step @p541 :rule trans :premises (@p540 @p539))
% 0.45/0.64  (step @p542 :rule cong :premises (@p541 @p532) :args (@t294))
% 0.45/0.64  (step @p543 :rule cong :premises (@p542) :args (@t295))
% 0.45/0.64  (step @p544 :rule trans :premises (@p543 @p417))
% 0.45/0.64  (step @p545 :rule cong :premises (@p128 @p544) :args (@t296))
% 0.45/0.64  (step @p546 :rule cong :premises (@p163 @p545) :args (@t297))
% 0.45/0.64  (step @p547 :rule cong :premises (@p289 @p546) :args (@t298))
% 0.45/0.64  (step @p548 :rule cong :premises (@p547) :args ((not @t298)))
% 0.45/0.64  (step @p549 :rule refl :args (@t35))
% 0.45/0.64  (step @p550 :rule ho_cong :premises (@p7 @p549))
% 0.45/0.64  (step @p551 :rule ho_cong :premises (@p550 @p133))
% 0.45/0.64  (step @p552 :rule cong :premises (@p115 @p551) :args (@t36))
% 0.45/0.64  (step @p553 :rule cong :premises (@p552) :args (@t38))
% 0.45/0.64  (step @p554 :rule ho_cong :premises (@p528 @p553))
% 0.45/0.64  (step @p555 :rule ho_cong :premises (@p354 @p554))
% 0.45/0.64  (step @p556 :rule aci_norm :args ((= @t300 @t292)))
% 0.45/0.64  (step @p557 :rule cong :premises (@p556) :args (@t301))
% 0.45/0.64  (step @p558 :rule quant-merge-prenex :args ((= (forall @t37 @t303) @t301)))
% 0.45/0.64  (step @p559 :rule alpha_equiv :args (@t304 (@list @t243) (@list @t1)))
% 0.45/0.64  (step @p560 :rule refl :args (@t291))
% 0.45/0.64  (step @p561 :rule nary_cong :premises (@p560 @p559) :args (@t305))
% 0.45/0.64  (step @p562 :rule quant-miniscope-or :args ((= @t303 @t305)))
% 0.45/0.64  (step @p563 :rule trans :premises (@p562 @p561))
% 0.45/0.64  (step @p564 :rule symm :premises (@p563))
% 0.45/0.64  (step @p565 :rule cong :premises (@p564) :args ((forall @t37 (or @t291 @t307))))
% 0.45/0.64  (step @p566 :rule trans :premises (@p565 @p558))
% 0.45/0.64  (step @p567 :rule trans :premises (@p566 @p557))
% 0.45/0.64  (step @p568 :rule refl :args (@t307))
% 0.45/0.64  (step @p569 :rule refl :args ((tptp.in @t7 @t55)))
% 0.45/0.64  (step @p570 :rule refl :args (@t288))
% 0.45/0.64  (step @p571 :rule cong :premises (@p64 @p570) :args (@t290))
% 0.45/0.64  (step @p572 :rule trans :premises (@p571 @p569))
% 0.45/0.64  (step @p573 :rule refl :args (@t16))
% 0.45/0.64  (step @p574 :rule ho_cong :premises (@p573 @p570))
% 0.45/0.64  (step @p575 :rule cong :premises (@p574 @p572) :args ((= (_ @t16 @t288) @t290)))
% 0.45/0.64  (step @p576 :rule symm :premises (@p575))
% 0.45/0.64  (step @p577 :rule refl :args (@t59))
% 0.45/0.64  (step @p578 :rule eq_resolve :premises (@p577 @p576))
% 0.45/0.64  (step @p579 :rule refl :args (@t55))
% 0.45/0.64  (step @p580 :rule cong :premises (@p579 @p570) :args ((= @t55 @t288)))
% 0.45/0.64  (step @p581 :rule symm :premises (@p580))
% 0.45/0.64  (step @p582 :rule eq_resolve :premises (@p579 @p581))
% 0.45/0.64  (step @p583 :rule ho_cong :premises (@p573 @p582))
% 0.45/0.64  (step @p584 :rule trans :premises (@p583 @p578))
% 0.45/0.64  (step @p585 :rule cong :premises (@p584) :args (@t308))
% 0.45/0.64  (step @p586 :rule nary_cong :premises (@p585 @p568) :args (@t309))
% 0.45/0.64  (step @p587 :rule cong :premises (@p586) :args ((forall @t37 @t309)))
% 0.45/0.64  (step @p588 :rule trans :premises (@p587 @p567))
% 0.45/0.64  (step @p589 :rule bool-double-not-elim :args (@t307))
% 0.45/0.64  (step @p590 :rule refl :args (@t308))
% 0.45/0.64  (step @p591 :rule nary_cong :premises (@p590 @p589) :args ((or @t308 (not @t310))))
% 0.45/0.64  (step @p592 :rule bool-and-de-morgan :args (@t59 @t310 true))
% 0.45/0.64  (step @p593 :rule trans :premises (@p592 @p591))
% 0.45/0.64  (step @p594 :rule cong :premises (@p593) :args (@t312))
% 0.45/0.64  (step @p595 :rule trans :premises (@p594 @p588))
% 0.45/0.64  (step @p596 :rule cong :premises (@p595) :args (@t313))
% 0.45/0.64  (step @p597 :rule exists-elim :args ((= (exists @t37 @t311) @t313)))
% 0.45/0.64  (step @p598 :rule trans :premises (@p597 @p596))
% 0.45/0.64  (step @p599 :rule cong :premises (@p241 @p105) :args (@t54))
% 0.45/0.64  (step @p600 :rule cong :premises (@p599) :args (@t314))
% 0.45/0.64  (step @p601 :rule refl :args ((tptp.in @t1 @t55)))
% 0.45/0.64  (step @p602 :rule refl :args (@t1))
% 0.45/0.64  (step @p603 :rule cong :premises (@p602 @p570) :args (@t306))
% 0.45/0.64  (step @p604 :rule trans :premises (@p603 @p601))
% 0.45/0.64  (step @p605 :rule refl :args (@t9))
% 0.45/0.64  (step @p606 :rule ho_cong :premises (@p605 @p570))
% 0.45/0.64  (step @p607 :rule cong :premises (@p606 @p604) :args ((= (_ @t9 @t288) @t306)))
% 0.45/0.64  (step @p608 :rule symm :premises (@p607))
% 0.45/0.64  (step @p609 :rule refl :args (@t56))
% 0.45/0.64  (step @p610 :rule eq_resolve :premises (@p609 @p608))
% 0.45/0.64  (step @p611 :rule ho_cong :premises (@p605 @p582))
% 0.45/0.64  (step @p612 :rule trans :premises (@p611 @p610))
% 0.45/0.64  (step @p613 :rule cong :premises (@p612) :args (@t315))
% 0.45/0.64  (step @p614 :rule nary_cong :premises (@p613 @p600) :args (@t316))
% 0.45/0.64  (step @p615 :rule cong :premises (@p614) :args ((forall @t4 @t316)))
% 0.45/0.64  (step @p616 :rule bool-and-de-morgan :args (@t56 @t54 true))
% 0.45/0.64  (step @p617 :rule cong :premises (@p616) :args (@t317))
% 0.45/0.64  (step @p618 :rule trans :premises (@p617 @p615))
% 0.45/0.64  (step @p619 :rule cong :premises (@p618) :args (@t318))
% 0.45/0.64  (step @p620 :rule exists-elim :args ((= @t58 @t318)))
% 0.45/0.64  (step @p621 :rule trans :premises (@p620 @p619))
% 0.45/0.64  (step @p622 :rule refl :args (@t59))
% 0.45/0.64  (step @p623 :rule nary_cong :premises (@p622 @p621) :args (@t60))
% 0.45/0.64  (step @p624 :rule cong :premises (@p623) :args (@t61))
% 0.45/0.64  (step @p625 :rule trans :premises (@p624 @p598))
% 0.45/0.64  (step @p626 :rule cong :premises (@p625) :args (@t63))
% 0.45/0.64  (step @p627 :rule trans :premises (@p6 @p626))
% 0.45/0.64  (step @p628 :rule ho_cong :premises (@p627 @p115))
% 0.45/0.64  (step @p629 :rule cong :premises (@p628 @p555) :args (@t41))
% 0.45/0.64  (step @p630 :rule cong :premises (@p629) :args (@t43))
% 0.45/0.64  (step @p631 :rule cong :premises (@p128 @p630) :args (@t44))
% 0.45/0.64  (step @p632 :rule cong :premises (@p163 @p631) :args (@t45))
% 0.45/0.64  (step @p633 :rule cong :premises (@p289 @p632) :args (@t46))
% 0.45/0.64  (step @p634 :rule cong :premises (@p633) :args (@t47))
% 0.45/0.64  (step @p635 :rule trans :premises (@p634 @p548))
% 0.45/0.64  (step @p636 :rule trans :premises (@p635 @p370))
% 0.45/0.64  (step @p637 :rule eq_resolve :premises (@p4 @p636))
% 0.45/0.64  (step @p638 :rule not_implies_elim2 :premises (@p637))
% 0.45/0.64  (step @p639 :rule not_implies_elim2 :premises (@p638))
% 0.45/0.64  (step @p640 :rule not_implies_elim2 :premises (@p639))
% 0.45/0.64  (step @p641 :rule skolemize :premises (@p640))
% 0.45/0.64  (step @p642 :rule bool-double-not-elim :args (@t332))
% 0.45/0.64  (step @p643 :rule refl :args (@t336))
% 0.45/0.64  (step @p644 :rule nary_cong :premises (@p643 @p642) :args ((or @t336 (not @t335))))
% 0.45/0.64  (step @p645 :rule cnf_or_neg :args (@t336 0))
% 0.45/0.64  (step @p646 :rule eq_resolve :premises (@p645 @p644))
% 0.45/0.64  (step @p647 :rule reordering :premises (@p646) :args ((or @t332 @t336)))
% 0.45/0.64  (step @p648 :rule chain_m_resolution :premises (@p647 @p641) :args (@t332 @t337 @t338))
% 0.45/0.64  (step @p649 :rule not_implies_elim1 :premises (@p637))
% 0.45/0.64  (step @p650 :rule eq-symm :args (@t340 @t125))
% 0.45/0.64  (step @p651 :rule cong :premises (@p650) :args (@t341))
% 0.45/0.64  (step @p652 :rule refl :args (@t342))
% 0.45/0.64  (step @p653 :rule nary_cong :premises (@p652 @p651) :args (@t343))
% 0.45/0.64  (step @p654 :rule cong :premises (@p653) :args (@t344))
% 0.45/0.64  (step @p655 :rule cong :premises (@p654) :args (@t345))
% 0.45/0.64  (step @p656 :rule eq-symm :args (@t319 @t1))
% 0.45/0.64  (step @p657 :rule refl :args (@t346))
% 0.45/0.64  (step @p658 :rule refl :args (@t347))
% 0.45/0.64  (step @p659 :rule nary_cong :premises (@p658 @p657 @p656) :args (@t348))
% 0.45/0.64  (step @p660 :rule cong :premises (@p659) :args (@t349))
% 0.45/0.64  (step @p661 :rule cong :premises (@p660) :args (@t350))
% 0.45/0.64  (step @p662 :rule refl :args (@t352))
% 0.45/0.64  (step @p663 :rule refl :args (@t334))
% 0.45/0.64  (step @p664 :rule nary_cong :premises (@p663 @p662 @p661 @p655) :args (@t353))
% 0.45/0.64  (step @p665 :rule refl :args (@t354))
% 0.45/0.64  (step @p666 :rule cong :premises (@p665 @p664) :args ((=> @t354 @t353)))
% 0.45/0.64  (assume-push @p825 @t354)
% 0.45/0.64  (step @p668 :rule instantiate :premises (@p649) :args ((@list @t330 @t339 @t319)))
% 0.45/0.64  (step-pop @p826 :rule scope :premises (@p668))
% 0.45/0.64  (step @p669 :rule process_scope :premises (@p826) :args (@t353))
% 0.45/0.64  (step @p671 :rule eq_resolve :premises (@p669 @p666))
% 0.45/0.64  (step @p672 :rule implies_elim :premises (@p671))
% 0.45/0.64  (step @p673 :rule chain_m_resolution :premises (@p672 @p649) :args (@t359 @t360 (@list @t354)))
% 0.45/0.64  (step @p674 :rule bool-double-not-elim :args (@t362))
% 0.45/0.64  (step @p675 :rule refl :args (@t366))
% 0.45/0.64  (step @p676 :rule nary_cong :premises (@p675 @p674) :args ((or @t366 (not @t364))))
% 0.45/0.64  (step @p677 :rule cnf_or_neg :args (@t366 1))
% 0.45/0.64  (step @p678 :rule eq_resolve :premises (@p677 @p676))
% 0.45/0.64  (step @p679 :rule reordering :premises (@p678) :args ((or @t362 @t366)))
% 0.45/0.64  (step @p680 :rule cnf_or_neg :args (@t366 2))
% 0.45/0.64  (step @p681 :rule eq-symm :args (@t367 @t328))
% 0.45/0.64  (step @p682 :rule beta-reduce :args ((= @t368 @t328)))
% 0.45/0.64  (step @p683 :rule refl :args (@t367))
% 0.45/0.64  (step @p684 :rule cong :premises (@p683 @p682) :args (@t369))
% 0.45/0.64  (step @p685 :rule trans :premises (@p684 @p681))
% 0.45/0.64  (step @p686 :rule cong :premises (@p685) :args (@t370))
% 0.45/0.64  (step @p687 :rule quant-unused-vars :args ((= (forall @t83 true) true)))
% 0.45/0.64  (step @p688 :rule eq-refl :args (@t368))
% 0.45/0.64  (step @p689 :rule cong :premises (@p688) :args ((forall @t83 (= @t368 @t368))))
% 0.45/0.64  (step @p690 :rule trans :premises (@p689 @p687))
% 0.45/0.64  (step @p691 :rule refl :args (@t368))
% 0.45/0.64  (step @p692 :rule refl :args (@t80))
% 0.45/0.64  (step @p693 :rule skolem_intro :args (@t339))
% 0.45/0.64  (step @p694 :rule ho_cong :premises (@p693 @p692))
% 0.45/0.64  (step @p695 :rule cong :premises (@p694 @p691) :args (@t369))
% 0.45/0.64  (step @p696 :rule cong :premises (@p695) :args (@t370))
% 0.45/0.64  (step @p697 :rule trans :premises (@p696 @p690))
% 0.45/0.64  (step @p698 :rule true_elim :premises (@p697))
% 0.45/0.64  (step @p699 :rule eq_resolve :premises (@p698 @p686))
% 0.45/0.64  (step @p700 :rule eq-symm :args (@t375 @t362))
% 0.45/0.64  (step @p701 :rule refl :args (@t376))
% 0.45/0.64  (step @p702 :rule cong :premises (@p701 @p700) :args ((=> @t376 @t377)))
% 0.45/0.64  (assume-push @p827 @t376)
% 0.45/0.64  (step @p704 :rule instantiate :premises (@p699) :args ((@list @t361)))
% 0.45/0.64  (step-pop @p828 :rule scope :premises (@p704))
% 0.45/0.64  (step @p705 :rule process_scope :premises (@p828) :args (@t377))
% 0.45/0.64  (step @p707 :rule eq_resolve :premises (@p705 @p702))
% 0.45/0.64  (step @p708 :rule implies_elim :premises (@p707))
% 0.45/0.64  (step @p709 :rule chain_m_resolution :premises (@p708 @p699) :args (@t378 @t360 (@list @t376)))
% 0.45/0.64  (step @p710 :rule cnf_equiv_pos1 :args (@t378))
% 0.45/0.64  (step @p711 :rule reordering :premises (@p710) :args ((or @t364 @t375 (not @t378))))
% 0.45/0.64  (step @p712 :rule not_implies_elim1 :premises (@p639))
% 0.45/0.64  (step @p713 :rule instantiate :premises (@p712) :args ((@list @t321 @t319 @t321 @t361)))
% 0.45/0.64  (step @p714 :rule cnf_or_pos :args (@t381))
% 0.45/0.64  (step @p715 :rule reordering :premises (@p714) :args ((or @t363 @t380 (not @t381))))
% 0.45/0.64  (step @p716 :rule not_implies_elim1 :premises (@p638))
% 0.45/0.64  (step @p717 :rule instantiate :premises (@p716) :args ((@list @t321 @t319)))
% 0.45/0.64  (assume-push @p829 @t382)
% 0.45/0.64  (assume-push @p830 @t375)
% 0.45/0.64  (assume-push @p831 @t382)
% 0.45/0.64  (assume-push @p832 @t375)
% 0.45/0.64  (step @p722 :rule refl :args (tptp.emptyset))
% 0.45/0.64  (step @p723 :rule refl :args (@t371))
% 0.45/0.64  (step @p724 :rule symm :premises (@p717))
% 0.45/0.64  (step @p725 :rule cong :premises (@p724 @p723) :args (@t372))
% 0.45/0.64  (step @p726 :rule cong :premises (@p725 @p722) :args (@t373))
% 0.45/0.64  (step @p727 :rule cong :premises (@p724 @p722) :args (@t327))
% 0.45/0.64  (step @p728 :rule cong :premises (@p727 @p726) :args (@t374))
% 0.45/0.64  (step @p729 :rule trans :premises (@p830 @p728))
% 0.45/0.64  (step-pop @p833 :rule scope :premises (@p729))
% 0.45/0.64  (step-pop @p834 :rule scope :premises (@p833))
% 0.45/0.64  (step @p730 :rule process_scope :premises (@p834) :args (@t379))
% 0.45/0.64  (step @p733 :rule and_intro :premises (@p717 @p830))
% 0.45/0.64  (step @p734 :rule modus_ponens :premises (@p733 @p730))
% 0.45/0.64  (step-pop @p835 :rule scope :premises (@p734))
% 0.45/0.64  (step-pop @p836 :rule scope :premises (@p835))
% 0.45/0.64  (step @p735 :rule process_scope :premises (@p836) :args (@t379))
% 0.45/0.64  (step @p738 :rule implies_elim :premises (@p735))
% 0.45/0.64  (step @p739 :rule cnf_and_neg :args (@t383))
% 0.45/0.64  (step @p740 :rule resolution :premises (@p739 @p738) :args (true @t383))
% 0.45/0.64  (step @p741 :rule chain_m_resolution :premises (@p740 @p717 @p715 @p713 @p711 @p709 @p680 @p679) :args (@t366 (@list false true false false false true false) (@list @t382 @t379 @t381 @t375 @t378 @t363 @t362)))
% 0.45/0.64  (step @p742 :rule refl :args (@t384))
% 0.45/0.64  (step @p743 :rule bool-double-not-elim :args (@t357))
% 0.45/0.64  (step @p744 :rule nary_cong :premises (@p743 @p742) :args ((or (not @t358) @t384)))
% 0.45/0.64  (step @p745 :rule eq-symm :args (@t361 @t319))
% 0.45/0.64  (step @p746 :rule refl :args (@t364))
% 0.45/0.64  (step @p747 :rule refl :args (@t365))
% 0.45/0.64  (step @p748 :rule nary_cong :premises (@p747 @p746 @p745) :args (@t385))
% 0.45/0.64  (step @p749 :rule cong :premises (@p748) :args (@t386))
% 0.45/0.64  (step @p750 :rule refl :args (@t358))
% 0.45/0.64  (step @p751 :rule cong :premises (@p750 @p749) :args ((=> @t358 @t386)))
% 0.45/0.64  (assume-push @p837 @t358)
% 0.45/0.64  (step @p753 :rule skolemize :premises (@p837))
% 0.45/0.64  (step-pop @p838 :rule scope :premises (@p753))
% 0.45/0.64  (step @p754 :rule process_scope :premises (@p838) :args (@t386))
% 0.45/0.64  (step @p756 :rule eq_resolve :premises (@p754 @p751))
% 0.45/0.64  (step @p757 :rule implies_elim :premises (@p756))
% 0.45/0.64  (step @p758 :rule eq_resolve :premises (@p757 @p744))
% 0.45/0.64  (step @p759 :rule chain_m_resolution :premises (@p758 @p741) :args (@t357 @t360 (@list @t366)))
% 0.45/0.64  (step @p760 :rule instantiate :premises (@p699) :args ((@list @t319)))
% 0.45/0.64  (step @p722 :rule refl :args (tptp.emptyset))
% 0.45/0.64  (step @p761 :rule refl :args (@t320))
% 0.45/0.64  (step @p762 :rule cong :premises (@p717 @p761) :args (@t322))
% 0.45/0.64  (step @p763 :rule cong :premises (@p762 @p722) :args (@t323))
% 0.45/0.64  (step @p764 :rule cong :premises (@p717 @p722) :args (@t324))
% 0.45/0.64  (step @p765 :rule cong :premises (@p764 @p763) :args (@t325))
% 0.45/0.64  (step @p766 :rule cnf_equiv_pos1 :args (@t388))
% 0.45/0.64  (step @p767 :rule reordering :premises (@p766) :args ((or @t351 (not @t387) (not @t388))))
% 0.45/0.64  (step @p768 :rule chain_m_resolution :premises (@p767 @p765 @p760) :args (@t351 (@list false false) (@list @t387 @t388)))
% 0.45/0.64  (step @p769 :rule bool-double-not-elim :args (@t333))
% 0.45/0.64  (step @p770 :rule nary_cong :premises (@p643 @p769) :args ((or @t336 (not @t334))))
% 0.45/0.64  (step @p771 :rule cnf_or_neg :args (@t336 2))
% 0.45/0.64  (step @p772 :rule eq_resolve :premises (@p771 @p770))
% 0.45/0.64  (step @p773 :rule reordering :premises (@p772) :args ((or @t333 @t336)))
% 0.45/0.64  (step @p774 :rule chain_m_resolution :premises (@p773 @p641) :args (@t333 @t337 @t338))
% 0.45/0.64  (step @p775 :rule cnf_or_pos :args (@t359))
% 0.45/0.64  (step @p776 :rule reordering :premises (@p775) :args ((or @t334 @t352 @t358 @t356 (not @t359))))
% 0.45/0.64  (step @p777 :rule chain_m_resolution :premises (@p776 @p774 @p768 @p759 @p673) :args (@t356 (@list false false false false) (@list @t333 @t351 @t357 @t359)))
% 0.45/0.64  (step @p778 :rule refl :args (@t393))
% 0.45/0.64  (step @p779 :rule bool-double-not-elim :args (@t355))
% 0.45/0.64  (step @p780 :rule nary_cong :premises (@p779 @p778) :args ((or (not @t356) @t393)))
% 0.45/0.64  (step @p781 :rule eq-symm :args (@t390 @t340))
% 0.45/0.64  (step @p782 :rule cong :premises (@p781) :args (@t394))
% 0.45/0.64  (step @p783 :rule refl :args (@t391))
% 0.45/0.64  (step @p784 :rule nary_cong :premises (@p783 @p782) :args (@t395))
% 0.45/0.64  (step @p785 :rule cong :premises (@p784) :args (@t396))
% 0.45/0.64  (step @p786 :rule refl :args (@t356))
% 0.45/0.64  (step @p787 :rule cong :premises (@p786 @p785) :args ((=> @t356 @t396)))
% 0.45/0.64  (assume-push @p839 @t356)
% 0.45/0.64  (step @p789 :rule skolemize :premises (@p839))
% 0.45/0.64  (step-pop @p840 :rule scope :premises (@p789))
% 0.45/0.64  (step @p790 :rule process_scope :premises (@p840) :args (@t396))
% 0.45/0.64  (step @p792 :rule eq_resolve :premises (@p790 @p787))
% 0.45/0.64  (step @p793 :rule implies_elim :premises (@p792))
% 0.45/0.64  (step @p794 :rule eq_resolve :premises (@p793 @p780))
% 0.45/0.64  (step @p795 :rule chain_m_resolution :premises (@p794 @p777) :args (@t393 @t337 (@list @t355)))
% 0.45/0.64  (step @p796 :rule refl :args (@t390))
% 0.45/0.64  (step @p797 :rule eq-refl :args (@t329))
% 0.45/0.64  (step @p798 :rule refl :args (@t329))
% 0.45/0.64  (step @p799 :rule cong :premises (@p798 @p693) :args ((= @t329 @t339)))
% 0.45/0.64  (step @p800 :rule trans :premises (@p799 @p797))
% 0.45/0.64  (step @p801 :rule true_elim :premises (@p800))
% 0.45/0.64  (step @p802 :rule refl :args (@t330))
% 0.45/0.64  (step @p803 :rule cong :premises (@p802 @p801) :args (@t331))
% 0.45/0.64  (step @p804 :rule cong :premises (@p803 @p796) :args (@t397))
% 0.45/0.64  (step @p805 :rule cong :premises (@p804) :args (@t398))
% 0.45/0.64  (step @p806 :rule refl :args (@t389))
% 0.45/0.64  (step @p807 :rule cong :premises (@p806 @p803) :args (@t399))
% 0.45/0.64  (step @p808 :rule cong :premises (@p807) :args (@t400))
% 0.45/0.64  (step @p809 :rule nary_cong :premises (@p808 @p805) :args (@t401))
% 0.45/0.64  (step @p810 :rule refl :args (@t332))
% 0.45/0.64  (step @p811 :rule cong :premises (@p810 @p809) :args ((=> @t332 @t401)))
% 0.45/0.64  (step @p812 :rule eq-symm :args (@t390 @t331))
% 0.45/0.64  (step @p813 :rule cong :premises (@p812) :args (@t402))
% 0.45/0.64  (step @p814 :rule refl :args (@t400))
% 0.45/0.64  (step @p815 :rule nary_cong :premises (@p814 @p813) :args (@t403))
% 0.45/0.64  (step @p816 :rule cong :premises (@p810 @p815) :args ((=> @t332 @t403)))
% 0.45/0.64  (assume-push @p841 @t332)
% 0.45/0.64  (step @p818 :rule instantiate :premises (@p648) :args ((@list @t389)))
% 0.45/0.64  (step-pop @p842 :rule scope :premises (@p818))
% 0.45/0.64  (step @p819 :rule process_scope :premises (@p842) :args (@t403))
% 0.45/0.64  (step @p821 :rule eq_resolve :premises (@p819 @p816))
% 0.45/0.64  (step @p822 :rule eq_resolve :premises (@p821 @p811))
% 0.45/0.64  (step @p823 :rule implies_elim :premises (@p822))
% 0.45/0.64  (step @p824 false :rule chain_m_resolution :premises (@p823 @p795 @p648) :args (false (@list true false) (@list @t392 @t332)))
% 0.45/0.64  )
% 0.45/0.64  % SZS output end Proof
% 0.45/0.64  % cvc5 exiting
%------------------------------------------------------------------------------