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cvc5---1.3.4.THM-Prf.s

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%------------------------------------------------------------------------------
% File     : cvc5---1.3.4
% Problem  : SYO066^4.002 : TPTP v9.2.1. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM

% Computer : n009.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 09:11:56 AM UTC 2026

% Result   : Theorem 0.36s 0.69s
% Output   : Proof 0.36s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13  % Problem  : SYO066^4.002 : TPTP v9.2.1. Released v4.0.0.
% 0.12/0.14  % Command  : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.17/0.35  % Computer : n009.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 23:52:59 EDT 2026
% 0.17/0.35  % CPUTime  : 
% 0.28/0.51  %----Proving TH0
% 0.36/0.69  --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 90s...
% 0.36/0.69  % SZS status Theorem
% 0.36/0.69  % SZS output start Proof
% 0.36/0.69  (
% 0.36/0.69  (declare-sort $$unsorted 0)
% 0.36/0.69  (declare-const tptp.irel (-> $$unsorted $$unsorted Bool))
% 0.36/0.69  (declare-const tptp.o32 (-> $$unsorted Bool))
% 0.36/0.69  (declare-const tptp.o21 (-> $$unsorted Bool))
% 0.36/0.69  (declare-const tptp.o22 (-> $$unsorted Bool))
% 0.36/0.69  (declare-const tptp.o11 (-> $$unsorted Bool))
% 0.36/0.69  (declare-const tptp.o12 (-> $$unsorted Bool))
% 0.36/0.69  (declare-const tptp.o31 (-> $$unsorted Bool))
% 0.36/0.69  (declare-const tptp.ifalse (-> $$unsorted Bool))
% 0.36/0.69  (define tptp.mnot () (let ((_let_1 (@var "U" $$unsorted))) (let ((_let_2 (@var "X" (-> $$unsorted Bool)))) (lambda (@list _let_2 _let_1) (not (_ _let_2 _let_1))))))
% 0.36/0.69  (define tptp.mor () (let ((_let_1 (@var "U" $$unsorted))) (let ((_let_2 (@var "Y" (-> $$unsorted Bool)))) (let ((_let_3 (@var "X" (-> $$unsorted Bool)))) (lambda (@list _let_3 _let_2 _let_1) (or (_ _let_3 _let_1) (_ _let_2 _let_1)))))))
% 0.36/0.69  (define tptp.mand () (let ((_let_1 (@var "U" $$unsorted))) (let ((_let_2 (@var "Y" (-> $$unsorted Bool)))) (let ((_let_3 (@var "X" (-> $$unsorted Bool)))) (lambda (@list _let_3 _let_2 _let_1) (and (_ _let_3 _let_1) (_ _let_2 _let_1)))))))
% 0.36/0.69  (define tptp.mimplies () (let ((_let_1 (@var "__flatten_var_0" $$unsorted))) (let ((_let_2 (@var "V" (-> $$unsorted Bool)))) (let ((_let_3 (@var "U" (-> $$unsorted Bool)))) (lambda (@list _let_3 _let_2 _let_1) (_ (_ (_ tptp.mor (_ tptp.mnot _let_3)) _let_2) _let_1))))))
% 0.36/0.69  (define tptp.mbox_s4 () (let ((_let_1 (@var "Y" $$unsorted))) (let ((_let_2 (@var "P" (-> $$unsorted Bool)))) (let ((_let_3 (@var "X" $$unsorted))) (lambda (@list _let_2 _let_3) (forall (@list _let_1) (=> (_ (_ tptp.irel _let_3) _let_1) (_ _let_2 _let_1))))))))
% 0.36/0.69  (define tptp.iatom () (let ((_let_1 (@var "__flatten_var_0" $$unsorted))) (let ((_let_2 (@var "P" (-> $$unsorted Bool)))) (lambda (@list _let_2 _let_1) (_ _let_2 _let_1)))))
% 0.36/0.69  (define tptp.inot () (let ((_let_1 (@var "__flatten_var_0" $$unsorted))) (let ((_let_2 (@var "P" (-> $$unsorted Bool)))) (lambda (@list _let_2 _let_1) (_ (_ tptp.mnot (_ tptp.mbox_s4 _let_2)) _let_1)))))
% 0.36/0.69  (define tptp.itrue () (lambda (@list (@var "W" $$unsorted)) true))
% 0.36/0.69  (define tptp.iand () (let ((_let_1 (@var "__flatten_var_0" $$unsorted))) (let ((_let_2 (@var "Q" (-> $$unsorted Bool)))) (let ((_let_3 (@var "P" (-> $$unsorted Bool)))) (lambda (@list _let_3 _let_2 _let_1) (_ (_ (_ tptp.mand _let_3) _let_2) _let_1))))))
% 0.36/0.69  (define tptp.ior () (let ((_let_1 (@var "__flatten_var_0" $$unsorted))) (let ((_let_2 (@var "Q" (-> $$unsorted Bool)))) (let ((_let_3 (@var "P" (-> $$unsorted Bool)))) (lambda (@list _let_3 _let_2 _let_1) (_ (_ (_ tptp.mor (_ tptp.mbox_s4 _let_3)) (_ tptp.mbox_s4 _let_2)) _let_1))))))
% 0.36/0.69  (define tptp.iimplies () (let ((_let_1 (@var "__flatten_var_0" $$unsorted))) (let ((_let_2 (@var "Q" (-> $$unsorted Bool)))) (let ((_let_3 (@var "P" (-> $$unsorted Bool)))) (lambda (@list _let_3 _let_2 _let_1) (_ (_ (_ tptp.mimplies (_ tptp.mbox_s4 _let_3)) (_ tptp.mbox_s4 _let_2)) _let_1))))))
% 0.36/0.69  (define tptp.iimplied () (let ((_let_1 (@var "__flatten_var_0" $$unsorted))) (let ((_let_2 (@var "P" (-> $$unsorted Bool)))) (let ((_let_3 (@var "Q" (-> $$unsorted Bool)))) (lambda (@list _let_2 _let_3 _let_1) (_ (_ (_ tptp.iimplies _let_3) _let_2) _let_1))))))
% 0.36/0.69  (define tptp.iequiv () (let ((_let_1 (@var "__flatten_var_0" $$unsorted))) (let ((_let_2 (@var "P" (-> $$unsorted Bool)))) (let ((_let_3 (@var "Q" (-> $$unsorted Bool)))) (lambda (@list _let_2 _let_3 _let_1) (_ (_ (_ tptp.iand (_ (_ tptp.iimplies _let_2) _let_3)) (_ (_ tptp.iimplies _let_3) _let_2)) _let_1))))))
% 0.36/0.69  (define tptp.ixor () (let ((_let_1 (@var "__flatten_var_0" $$unsorted))) (let ((_let_2 (@var "Q" (-> $$unsorted Bool)))) (let ((_let_3 (@var "P" (-> $$unsorted Bool)))) (lambda (@list _let_3 _let_2 _let_1) (_ (_ tptp.inot (_ (_ tptp.iequiv _let_3) _let_2)) _let_1))))))
% 0.36/0.69  (define tptp.ivalid () (let ((_let_1 (@var "W" $$unsorted))) (let ((_let_2 (@var "Phi" (-> $$unsorted Bool)))) (lambda (@list _let_2) (forall (@list _let_1) (_ _let_2 _let_1))))))
% 0.36/0.69  (define tptp.isatisfiable () (let ((_let_1 (@var "W" $$unsorted))) (let ((_let_2 (@var "Phi" (-> $$unsorted Bool)))) (lambda (@list _let_2) (exists (@list _let_1) (_ _let_2 _let_1))))))
% 0.36/0.69  (define tptp.icountersatisfiable () (let ((_let_1 (@var "W" $$unsorted))) (let ((_let_2 (@var "Phi" (-> $$unsorted Bool)))) (lambda (@list _let_2) (exists (@list _let_1) (not (_ _let_2 _let_1)))))))
% 0.36/0.69  (define tptp.iinvalid () (let ((_let_1 (@var "W" $$unsorted))) (let ((_let_2 (@var "Phi" (-> $$unsorted Bool)))) (lambda (@list _let_2) (forall (@list _let_1) (not (_ _let_2 _let_1)))))))
% 0.36/0.69  (define @t1 () (@var "X" $$unsorted))
% 0.36/0.69  (define @t2 () (_ tptp.irel @t1))
% 0.36/0.69  (define @t3 () (@list @t1))
% 0.36/0.69  (define @t4 () (@var "Z" $$unsorted))
% 0.36/0.69  (define @t5 () (_ @t2 @t4))
% 0.36/0.69  (define @t6 () (@var "Y" $$unsorted))
% 0.36/0.69  (define @t7 () (_ (_ tptp.irel @t6) @t4))
% 0.36/0.69  (define @t8 () (_ @t2 @t6))
% 0.36/0.69  (define @t9 () (and @t8 @t7))
% 0.36/0.69  (define @t10 () (@list @t1 @t6 @t4))
% 0.36/0.69  (define @t11 () (forall @t10 (=> @t9 @t5)))
% 0.36/0.69  (define @t12 () (_ tptp.iatom tptp.o12))
% 0.36/0.69  (define @t13 () (_ tptp.iatom tptp.o11))
% 0.36/0.69  (define @t14 () (_ tptp.iatom tptp.o22))
% 0.36/0.69  (define @t15 () (_ tptp.iatom tptp.o21))
% 0.36/0.69  (define @t16 () (_ tptp.iatom tptp.o32))
% 0.36/0.69  (define @t17 () (_ tptp.iatom tptp.o31))
% 0.36/0.69  (define @t18 () (_ tptp.iand @t12))
% 0.36/0.69  (define @t19 () (_ tptp.iand @t13))
% 0.36/0.69  (define @t20 () (not (_ tptp.ivalid (_ (_ tptp.ior (_ @t19 @t15)) (_ (_ tptp.ior (_ @t19 @t17)) (_ (_ tptp.ior (_ (_ tptp.iand @t15) @t17)) (_ (_ tptp.ior (_ @t18 @t14)) (_ (_ tptp.ior (_ @t18 @t16)) (_ (_ tptp.iand @t14) @t16)))))))))
% 0.36/0.69  (define @t21 () (@var "U" $$unsorted))
% 0.36/0.69  (define @t22 () (@var "X" (-> $$unsorted Bool)))
% 0.36/0.69  (define @t23 () (_ @t22 @t21))
% 0.36/0.69  (define @t24 () (lambda (@list @t22 @t21) (not @t23)))
% 0.36/0.69  (define @t25 () (@var "Y" (-> $$unsorted Bool)))
% 0.36/0.69  (define @t26 () (_ @t25 @t21))
% 0.36/0.69  (define @t27 () (@list @t22 @t25 @t21))
% 0.36/0.69  (define @t28 () (lambda @t27 (or @t23 @t26)))
% 0.36/0.69  (define @t29 () (lambda @t27 (and @t23 @t26)))
% 0.36/0.69  (define @t30 () (@var "__flatten_var_0" $$unsorted))
% 0.36/0.69  (define @t31 () (@var "V" (-> $$unsorted Bool)))
% 0.36/0.69  (define @t32 () (@var "U" (-> $$unsorted Bool)))
% 0.36/0.69  (define @t33 () (lambda (@list @t32 @t31 @t30) (_ (_ (_ tptp.mor (_ tptp.mnot @t32)) @t31) @t30)))
% 0.36/0.69  (define @t34 () (@var "P" (-> $$unsorted Bool)))
% 0.36/0.69  (define @t35 () (_ @t34 @t6))
% 0.36/0.69  (define @t36 () (@list @t6))
% 0.36/0.69  (define @t37 () (forall @t36 (=> @t8 @t35)))
% 0.36/0.69  (define @t38 () (@list @t34 @t1))
% 0.36/0.69  (define @t39 () (lambda @t38 @t37))
% 0.36/0.69  (define @t40 () (_ @t34 @t30))
% 0.36/0.69  (define @t41 () (@list @t34 @t30))
% 0.36/0.69  (define @t42 () (lambda @t41 @t40))
% 0.36/0.69  (define @t43 () (_ tptp.mbox_s4 @t34))
% 0.36/0.69  (define @t44 () (lambda @t41 (_ (_ tptp.mnot @t43) @t30)))
% 0.36/0.69  (define @t45 () (@var "W" $$unsorted))
% 0.36/0.69  (define @t46 () (@list @t45))
% 0.36/0.69  (define @t47 () (lambda @t46 true))
% 0.36/0.69  (define @t48 () (@var "Q" (-> $$unsorted Bool)))
% 0.36/0.69  (define @t49 () (@list @t34 @t48 @t30))
% 0.36/0.69  (define @t50 () (lambda @t49 (_ (_ (_ tptp.mand @t34) @t48) @t30)))
% 0.36/0.69  (define @t51 () (_ tptp.mbox_s4 @t48))
% 0.36/0.69  (define @t52 () (lambda @t49 (_ (_ (_ tptp.mor @t43) @t51) @t30)))
% 0.36/0.69  (define @t53 () (lambda @t49 (_ (_ (_ tptp.mimplies @t43) @t51) @t30)))
% 0.36/0.69  (define @t54 () (_ (_ tptp.iimplies @t48) @t34))
% 0.36/0.69  (define @t55 () (lambda @t49 (_ @t54 @t30)))
% 0.36/0.69  (define @t56 () (lambda @t49 (_ (_ (_ tptp.iand (_ (_ tptp.iimplies @t34) @t48)) @t54) @t30)))
% 0.36/0.69  (define @t57 () (lambda @t49 (_ (_ tptp.inot (_ (_ tptp.iequiv @t34) @t48)) @t30)))
% 0.36/0.69  (define @t58 () (@var "Phi" (-> $$unsorted Bool)))
% 0.36/0.69  (define @t59 () (_ @t58 @t45))
% 0.36/0.69  (define @t60 () (forall @t46 @t59))
% 0.36/0.69  (define @t61 () (@list @t58))
% 0.36/0.69  (define @t62 () (lambda @t61 @t60))
% 0.36/0.69  (define @t63 () (lambda @t61 (exists @t46 @t59)))
% 0.36/0.69  (define @t64 () (not @t59))
% 0.36/0.69  (define @t65 () (lambda @t61 (exists @t46 @t64)))
% 0.36/0.69  (define @t66 () (lambda @t61 (forall @t46 @t64)))
% 0.36/0.69  (define @t67 () (@var "BOUND_VARIABLE_8230" $$unsorted))
% 0.36/0.69  (define @t68 () (tptp.o32 @t67))
% 0.36/0.69  (define @t69 () (not (tptp.irel @t45 @t67)))
% 0.36/0.69  (define @t70 () (@var "BOUND_VARIABLE_8224" $$unsorted))
% 0.36/0.69  (define @t71 () (tptp.o31 @t70))
% 0.36/0.69  (define @t72 () (not (tptp.irel @t45 @t70)))
% 0.36/0.69  (define @t73 () (or @t72 @t71 @t69 @t68))
% 0.36/0.69  (define @t74 () (or @t69 @t68))
% 0.36/0.69  (define @t75 () (or @t72 @t71))
% 0.36/0.69  (define @t76 () (or @t75 @t74))
% 0.36/0.69  (define @t77 () (@list @t45 @t70 @t67))
% 0.36/0.69  (define @t78 () (forall @t77 @t76))
% 0.36/0.69  (define @t79 () (forall (@list @t70 @t67) @t76))
% 0.36/0.69  (define @t80 () (forall (@list @t67) @t74))
% 0.36/0.69  (define @t81 () (@list @t6))
% 0.36/0.69  (define @t82 () (forall (@list @t70) @t75))
% 0.36/0.69  (define @t83 () (or @t82 @t80))
% 0.36/0.69  (define @t84 () (tptp.o32 @t6))
% 0.36/0.69  (define @t85 () (not (tptp.irel @t45 @t6)))
% 0.36/0.69  (define @t86 () (tptp.o31 @t6))
% 0.36/0.69  (define @t87 () (or (forall @t36 (or @t85 @t86)) (forall @t36 (or @t85 @t84))))
% 0.36/0.69  (define @t88 () (not (tptp.irel @t30 @t6)))
% 0.36/0.69  (define @t89 () (forall @t36 (or @t88 @t86)))
% 0.36/0.69  (define @t90 () (@list @t30))
% 0.36/0.69  (define @t91 () (lambda @t90 (or @t89 (forall @t36 (or @t88 @t84)))))
% 0.36/0.69  (define @t92 () (_ @t91 @t45))
% 0.36/0.69  (define @t93 () (forall @t46 @t92))
% 0.36/0.69  (define @t94 () (_ @t58 @t45))
% 0.36/0.69  (define @t95 () (lambda @t61 (forall @t46 @t94)))
% 0.36/0.69  (define @t96 () (_ tptp.o32 @t6))
% 0.36/0.69  (define @t97 () (or @t88 @t96))
% 0.36/0.69  (define @t98 () (_ tptp.o32 @t30))
% 0.36/0.69  (define @t99 () (lambda @t90 @t98))
% 0.36/0.69  (define @t100 () (_ @t99 @t6))
% 0.36/0.69  (define @t101 () (or @t88 @t100))
% 0.36/0.69  (define @t102 () (forall @t36 @t101))
% 0.36/0.69  (define @t103 () (or @t89 @t102))
% 0.36/0.69  (define @t104 () (lambda @t90 @t103))
% 0.36/0.69  (define @t105 () (_ @t48 @t6))
% 0.36/0.69  (define @t106 () (forall @t36 (or @t88 @t105)))
% 0.36/0.69  (define @t107 () (@list @t48 @t30))
% 0.36/0.69  (define @t108 () (_ @t42 tptp.o32))
% 0.36/0.69  (define @t109 () (_ tptp.o31 @t6))
% 0.36/0.69  (define @t110 () (or @t88 @t109))
% 0.36/0.69  (define @t111 () (_ tptp.o31 @t30))
% 0.36/0.69  (define @t112 () (lambda @t90 @t111))
% 0.36/0.69  (define @t113 () (_ @t112 @t6))
% 0.36/0.69  (define @t114 () (or @t88 @t113))
% 0.36/0.69  (define @t115 () (forall @t36 @t114))
% 0.36/0.69  (define @t116 () (or @t115 @t106))
% 0.36/0.69  (define @t117 () (lambda @t107 @t116))
% 0.36/0.69  (define @t118 () (_ @t34 @t6))
% 0.36/0.69  (define @t119 () (or (forall @t36 (or @t88 @t118)) @t106))
% 0.36/0.69  (define @t120 () (lambda @t49 @t119))
% 0.36/0.69  (define @t121 () (_ @t42 tptp.o31))
% 0.36/0.69  (define @t122 () (not (tptp.irel @t21 @t6)))
% 0.36/0.69  (define @t123 () (forall @t36 (or @t122 @t105)))
% 0.36/0.69  (define @t124 () (forall @t36 (or @t122 @t118)))
% 0.36/0.69  (define @t125 () (@list @t21))
% 0.36/0.69  (define @t126 () (tptp.irel @t1 @t6))
% 0.36/0.69  (define @t127 () (not @t126))
% 0.36/0.69  (define @t128 () (lambda @t3 (forall @t36 (or @t127 @t105))))
% 0.36/0.69  (define @t129 () (_ @t128 @t21))
% 0.36/0.69  (define @t130 () (or @t124 @t129))
% 0.36/0.69  (define @t131 () (lambda @t125 @t130))
% 0.36/0.69  (define @t132 () (@list @t25 @t21))
% 0.36/0.69  (define @t133 () (forall @t36 (or @t127 @t118)))
% 0.36/0.69  (define @t134 () (lambda @t38 @t133))
% 0.36/0.69  (define @t135 () (lambda @t3 @t133))
% 0.36/0.69  (define @t136 () (_ @t135 @t21))
% 0.36/0.69  (define @t137 () (or @t136 @t26))
% 0.36/0.69  (define @t138 () (lambda @t132 @t137))
% 0.36/0.69  (define @t139 () (not @t8))
% 0.36/0.69  (define @t140 () (or @t139 @t35))
% 0.36/0.69  (define @t141 () (tptp.irel @t1 @t4))
% 0.36/0.69  (define @t142 () (tptp.irel @t6 @t4))
% 0.36/0.69  (define @t143 () (not @t7))
% 0.36/0.69  (define @t144 () (or @t139 @t143 @t5))
% 0.36/0.69  (define @t145 () (@var "BOUND_VARIABLE_8771" $$unsorted))
% 0.36/0.69  (define @t146 () (and (tptp.o22 @t145) (tptp.o32 @t145)))
% 0.36/0.69  (define @t147 () (@var "BOUND_VARIABLE_8767" $$unsorted))
% 0.36/0.69  (define @t148 () (not (tptp.irel @t147 @t145)))
% 0.36/0.69  (define @t149 () (@var "BOUND_VARIABLE_8769" $$unsorted))
% 0.36/0.69  (define @t150 () (and (tptp.o12 @t149) (tptp.o32 @t149)))
% 0.36/0.69  (define @t151 () (not (tptp.irel @t147 @t149)))
% 0.36/0.69  (define @t152 () (@var "BOUND_VARIABLE_8763" $$unsorted))
% 0.36/0.69  (define @t153 () (not (tptp.irel @t152 @t147)))
% 0.36/0.69  (define @t154 () (@var "BOUND_VARIABLE_8765" $$unsorted))
% 0.36/0.69  (define @t155 () (and (tptp.o12 @t154) (tptp.o22 @t154)))
% 0.36/0.69  (define @t156 () (not (tptp.irel @t152 @t154)))
% 0.36/0.69  (define @t157 () (@var "BOUND_VARIABLE_8759" $$unsorted))
% 0.36/0.69  (define @t158 () (not (tptp.irel @t157 @t152)))
% 0.36/0.69  (define @t159 () (@var "BOUND_VARIABLE_8761" $$unsorted))
% 0.36/0.69  (define @t160 () (and (tptp.o21 @t159) (tptp.o31 @t159)))
% 0.36/0.69  (define @t161 () (not (tptp.irel @t157 @t159)))
% 0.36/0.69  (define @t162 () (@var "BOUND_VARIABLE_8755" $$unsorted))
% 0.36/0.69  (define @t163 () (not (tptp.irel @t162 @t157)))
% 0.36/0.69  (define @t164 () (@var "BOUND_VARIABLE_8757" $$unsorted))
% 0.36/0.69  (define @t165 () (and (tptp.o11 @t164) (tptp.o31 @t164)))
% 0.36/0.69  (define @t166 () (not (tptp.irel @t162 @t164)))
% 0.36/0.69  (define @t167 () (not (tptp.irel @t45 @t162)))
% 0.36/0.69  (define @t168 () (@var "BOUND_VARIABLE_8747" $$unsorted))
% 0.36/0.69  (define @t169 () (and (tptp.o11 @t168) (tptp.o21 @t168)))
% 0.36/0.69  (define @t170 () (not (tptp.irel @t45 @t168)))
% 0.36/0.69  (define @t171 () (or @t170 @t169 @t167 @t166 @t165 @t163 @t161 @t160 @t158 @t156 @t155 @t153 @t151 @t150 @t148 @t146))
% 0.36/0.69  (define @t172 () (@list @t45 @t168 @t162 @t164 @t157 @t159 @t152 @t154 @t147 @t149 @t145))
% 0.36/0.69  (define @t173 () (forall @t172 @t171))
% 0.36/0.69  (define @t174 () (@quantifiers_skolemize @t173 10))
% 0.36/0.69  (define @t175 () (@quantifiers_skolemize @t173 8))
% 0.36/0.69  (define @t176 () (@quantifiers_skolemize @t173 0))
% 0.36/0.69  (define @t177 () (@quantifiers_skolemize @t173 4))
% 0.36/0.69  (define @t178 () (@quantifiers_skolemize @t173 6))
% 0.36/0.69  (define @t179 () (or @t167 @t166 @t165 @t163 @t161 @t160 @t158 @t156 @t155 @t153 @t151 @t150 @t148 @t146))
% 0.36/0.69  (define @t180 () (or @t170 @t169))
% 0.36/0.69  (define @t181 () (or @t180 @t179))
% 0.36/0.69  (define @t182 () (forall @t172 @t181))
% 0.36/0.69  (define @t183 () (forall (@list @t168 @t162 @t164 @t157 @t159 @t152 @t154 @t147 @t149 @t145) @t181))
% 0.36/0.69  (define @t184 () (forall (@list @t162 @t164 @t157 @t159 @t152 @t154 @t147 @t149 @t145) @t179))
% 0.36/0.69  (define @t185 () (@var "BOUND_VARIABLE_8702" $$unsorted))
% 0.36/0.69  (define @t186 () (@var "BOUND_VARIABLE_8700" $$unsorted))
% 0.36/0.69  (define @t187 () (@var "BOUND_VARIABLE_8698" $$unsorted))
% 0.36/0.69  (define @t188 () (@var "BOUND_VARIABLE_8696" $$unsorted))
% 0.36/0.69  (define @t189 () (@var "BOUND_VARIABLE_8694" $$unsorted))
% 0.36/0.69  (define @t190 () (@var "BOUND_VARIABLE_8692" $$unsorted))
% 0.36/0.69  (define @t191 () (@var "BOUND_VARIABLE_8690" $$unsorted))
% 0.36/0.69  (define @t192 () (@var "BOUND_VARIABLE_8682" $$unsorted))
% 0.36/0.69  (define @t193 () (forall (@list @t168) @t180))
% 0.36/0.69  (define @t194 () (or @t193 @t184))
% 0.36/0.69  (define @t195 () (and (tptp.o22 @t185) (tptp.o32 @t185)))
% 0.36/0.69  (define @t196 () (not (tptp.irel @t187 @t185)))
% 0.36/0.69  (define @t197 () (and (tptp.o12 @t186) (tptp.o32 @t186)))
% 0.36/0.69  (define @t198 () (not (tptp.irel @t187 @t186)))
% 0.36/0.69  (define @t199 () (not (tptp.irel @t189 @t187)))
% 0.36/0.69  (define @t200 () (and (tptp.o12 @t188) (tptp.o22 @t188)))
% 0.36/0.69  (define @t201 () (not (tptp.irel @t189 @t188)))
% 0.36/0.69  (define @t202 () (not (tptp.irel @t191 @t189)))
% 0.36/0.69  (define @t203 () (and (tptp.o21 @t190) (tptp.o31 @t190)))
% 0.36/0.69  (define @t204 () (not (tptp.irel @t191 @t190)))
% 0.36/0.69  (define @t205 () (not (tptp.irel @t6 @t191)))
% 0.36/0.69  (define @t206 () (and (tptp.o11 @t192) (tptp.o31 @t192)))
% 0.36/0.69  (define @t207 () (not (tptp.irel @t6 @t192)))
% 0.36/0.69  (define @t208 () (@list @t6 @t192 @t191 @t190 @t189 @t188 @t187 @t186 @t185))
% 0.36/0.69  (define @t209 () (tptp.o21 @t6))
% 0.36/0.69  (define @t210 () (tptp.o11 @t6))
% 0.36/0.69  (define @t211 () (and @t210 @t209))
% 0.36/0.69  (define @t212 () (or (forall @t36 (or @t85 @t211)) (forall @t208 (or @t85 @t207 @t206 @t205 @t204 @t203 @t202 @t201 @t200 @t199 @t198 @t197 @t196 @t195))))
% 0.36/0.69  (define @t213 () (or @t88 @t207 @t206 @t205 @t204 @t203 @t202 @t201 @t200 @t199 @t198 @t197 @t196 @t195))
% 0.36/0.69  (define @t214 () (forall @t36 (or @t88 @t211)))
% 0.36/0.69  (define @t215 () (lambda @t90 (or @t214 (forall @t208 @t213))))
% 0.36/0.69  (define @t216 () (_ @t215 @t45))
% 0.36/0.69  (define @t217 () (forall @t46 @t216))
% 0.36/0.69  (define @t218 () (or @t205 @t204 @t203 @t202 @t201 @t200 @t199 @t198 @t197 @t196 @t195))
% 0.36/0.69  (define @t219 () (or @t207 @t206))
% 0.36/0.69  (define @t220 () (or @t88 @t219 @t218))
% 0.36/0.69  (define @t221 () (forall @t208 @t220))
% 0.36/0.69  (define @t222 () (forall (@list @t192 @t191 @t190 @t189 @t188 @t187 @t186 @t185) @t220))
% 0.36/0.69  (define @t223 () (forall (@list @t191 @t190 @t189 @t188 @t187 @t186 @t185) @t218))
% 0.36/0.69  (define @t224 () (@var "BOUND_VARIABLE_8610" $$unsorted))
% 0.36/0.69  (define @t225 () (@var "BOUND_VARIABLE_8608" $$unsorted))
% 0.36/0.69  (define @t226 () (@var "BOUND_VARIABLE_8606" $$unsorted))
% 0.36/0.69  (define @t227 () (@var "BOUND_VARIABLE_8604" $$unsorted))
% 0.36/0.69  (define @t228 () (@var "BOUND_VARIABLE_8602" $$unsorted))
% 0.36/0.69  (define @t229 () (@var "BOUND_VARIABLE_8594" $$unsorted))
% 0.36/0.69  (define @t230 () (@var "BOUND_VARIABLE_8646" $$unsorted))
% 0.36/0.69  (define @t231 () (forall (@list @t192) @t219))
% 0.36/0.69  (define @t232 () (@var "BOUND_VARIABLE_8657" $$unsorted))
% 0.36/0.69  (define @t233 () (@list @t232))
% 0.36/0.69  (define @t234 () (or @t88 @t231 @t223))
% 0.36/0.69  (define @t235 () (and (tptp.o22 @t224) (tptp.o32 @t224)))
% 0.36/0.69  (define @t236 () (not (tptp.irel @t226 @t224)))
% 0.36/0.69  (define @t237 () (and (tptp.o12 @t225) (tptp.o32 @t225)))
% 0.36/0.69  (define @t238 () (not (tptp.irel @t226 @t225)))
% 0.36/0.69  (define @t239 () (not (tptp.irel @t228 @t226)))
% 0.36/0.69  (define @t240 () (and (tptp.o12 @t227) (tptp.o22 @t227)))
% 0.36/0.69  (define @t241 () (not (tptp.irel @t228 @t227)))
% 0.36/0.69  (define @t242 () (not (tptp.irel @t230 @t228)))
% 0.36/0.69  (define @t243 () (and (tptp.o21 @t229) (tptp.o31 @t229)))
% 0.36/0.69  (define @t244 () (not (tptp.irel @t230 @t229)))
% 0.36/0.69  (define @t245 () (@list @t230 @t229 @t228 @t227 @t226 @t225 @t224))
% 0.36/0.69  (define @t246 () (forall @t245 (or (not (tptp.irel @t6 @t230)) @t244 @t243 @t242 @t241 @t240 @t239 @t238 @t237 @t236 @t235)))
% 0.36/0.69  (define @t247 () (and (tptp.o11 @t232) (tptp.o31 @t232)))
% 0.36/0.69  (define @t248 () (@list @t232))
% 0.36/0.69  (define @t249 () (forall @t248 (or (not (tptp.irel @t6 @t232)) @t247)))
% 0.36/0.69  (define @t250 () (or @t88 @t249 @t246))
% 0.36/0.69  (define @t251 () (or @t249 @t246))
% 0.36/0.69  (define @t252 () (not (tptp.irel @t6 @t228)))
% 0.36/0.69  (define @t253 () (not (tptp.irel @t6 @t229)))
% 0.36/0.69  (define @t254 () (or @t88 @t253 @t243 @t252 @t241 @t240 @t239 @t238 @t237 @t236 @t235))
% 0.36/0.69  (define @t255 () (@list @t6 @t229 @t228 @t227 @t226 @t225 @t224))
% 0.36/0.69  (define @t256 () (forall @t255 @t254))
% 0.36/0.69  (define @t257 () (forall @t36 (or @t88 (and @t210 @t86))))
% 0.36/0.69  (define @t258 () (or @t257 @t256))
% 0.36/0.69  (define @t259 () (lambda @t90 @t258))
% 0.36/0.69  (define @t260 () (or @t88 (_ @t259 @t6)))
% 0.36/0.69  (define @t261 () (forall @t36 @t260))
% 0.36/0.69  (define @t262 () (or @t214 @t261))
% 0.36/0.69  (define @t263 () (lambda @t90 @t262))
% 0.36/0.69  (define @t264 () (or @t252 @t241 @t240 @t239 @t238 @t237 @t236 @t235))
% 0.36/0.69  (define @t265 () (or @t253 @t243))
% 0.36/0.69  (define @t266 () (or @t88 @t265 @t264))
% 0.36/0.69  (define @t267 () (forall @t255 @t266))
% 0.36/0.69  (define @t268 () (forall (@list @t229 @t228 @t227 @t226 @t225 @t224) @t266))
% 0.36/0.69  (define @t269 () (forall (@list @t228 @t227 @t226 @t225 @t224) @t264))
% 0.36/0.69  (define @t270 () (@var "BOUND_VARIABLE_8529" $$unsorted))
% 0.36/0.69  (define @t271 () (@var "BOUND_VARIABLE_8527" $$unsorted))
% 0.36/0.69  (define @t272 () (@var "BOUND_VARIABLE_8525" $$unsorted))
% 0.36/0.69  (define @t273 () (@var "BOUND_VARIABLE_8517" $$unsorted))
% 0.36/0.69  (define @t274 () (@var "BOUND_VARIABLE_8558" $$unsorted))
% 0.36/0.69  (define @t275 () (forall (@list @t229) @t265))
% 0.36/0.69  (define @t276 () (@var "BOUND_VARIABLE_8569" $$unsorted))
% 0.36/0.69  (define @t277 () (@list @t276))
% 0.36/0.69  (define @t278 () (or @t88 @t275 @t269))
% 0.36/0.69  (define @t279 () (and (tptp.o22 @t270) (tptp.o32 @t270)))
% 0.36/0.69  (define @t280 () (not (tptp.irel @t272 @t270)))
% 0.36/0.69  (define @t281 () (and (tptp.o12 @t271) (tptp.o32 @t271)))
% 0.36/0.69  (define @t282 () (not (tptp.irel @t272 @t271)))
% 0.36/0.69  (define @t283 () (not (tptp.irel @t274 @t272)))
% 0.36/0.69  (define @t284 () (and (tptp.o12 @t273) (tptp.o22 @t273)))
% 0.36/0.69  (define @t285 () (not (tptp.irel @t274 @t273)))
% 0.36/0.69  (define @t286 () (@list @t274 @t273 @t272 @t271 @t270))
% 0.36/0.69  (define @t287 () (forall @t286 (or (not (tptp.irel @t6 @t274)) @t285 @t284 @t283 @t282 @t281 @t280 @t279)))
% 0.36/0.69  (define @t288 () (and (tptp.o21 @t276) (tptp.o31 @t276)))
% 0.36/0.69  (define @t289 () (@list @t276))
% 0.36/0.69  (define @t290 () (forall @t289 (or (not (tptp.irel @t6 @t276)) @t288)))
% 0.36/0.69  (define @t291 () (or @t88 @t290 @t287))
% 0.36/0.69  (define @t292 () (or @t290 @t287))
% 0.36/0.69  (define @t293 () (not (tptp.irel @t6 @t272)))
% 0.36/0.69  (define @t294 () (not (tptp.irel @t6 @t273)))
% 0.36/0.69  (define @t295 () (or @t88 @t294 @t284 @t293 @t282 @t281 @t280 @t279))
% 0.36/0.69  (define @t296 () (@list @t6 @t273 @t272 @t271 @t270))
% 0.36/0.69  (define @t297 () (forall @t296 @t295))
% 0.36/0.69  (define @t298 () (forall @t36 (or @t88 (and @t209 @t86))))
% 0.36/0.69  (define @t299 () (or @t298 @t297))
% 0.36/0.69  (define @t300 () (lambda @t90 @t299))
% 0.36/0.69  (define @t301 () (or @t88 (_ @t300 @t6)))
% 0.36/0.69  (define @t302 () (forall @t36 @t301))
% 0.36/0.69  (define @t303 () (or @t257 @t302))
% 0.36/0.69  (define @t304 () (lambda @t90 @t303))
% 0.36/0.69  (define @t305 () (or @t293 @t282 @t281 @t280 @t279))
% 0.36/0.69  (define @t306 () (or @t294 @t284))
% 0.36/0.69  (define @t307 () (or @t88 @t306 @t305))
% 0.36/0.69  (define @t308 () (forall @t296 @t307))
% 0.36/0.69  (define @t309 () (forall (@list @t273 @t272 @t271 @t270) @t307))
% 0.36/0.69  (define @t310 () (forall (@list @t272 @t271 @t270) @t305))
% 0.36/0.69  (define @t311 () (@var "BOUND_VARIABLE_8459" $$unsorted))
% 0.36/0.69  (define @t312 () (@var "BOUND_VARIABLE_8451" $$unsorted))
% 0.36/0.69  (define @t313 () (@var "BOUND_VARIABLE_8481" $$unsorted))
% 0.36/0.69  (define @t314 () (forall (@list @t273) @t306))
% 0.36/0.69  (define @t315 () (@var "BOUND_VARIABLE_8492" $$unsorted))
% 0.36/0.69  (define @t316 () (@list @t315))
% 0.36/0.69  (define @t317 () (or @t88 @t314 @t310))
% 0.36/0.69  (define @t318 () (and (tptp.o22 @t311) (tptp.o32 @t311)))
% 0.36/0.69  (define @t319 () (not (tptp.irel @t313 @t311)))
% 0.36/0.69  (define @t320 () (and (tptp.o12 @t312) (tptp.o32 @t312)))
% 0.36/0.69  (define @t321 () (not (tptp.irel @t313 @t312)))
% 0.36/0.69  (define @t322 () (@list @t313 @t312 @t311))
% 0.36/0.69  (define @t323 () (forall @t322 (or (not (tptp.irel @t6 @t313)) @t321 @t320 @t319 @t318)))
% 0.36/0.69  (define @t324 () (and (tptp.o12 @t315) (tptp.o22 @t315)))
% 0.36/0.69  (define @t325 () (@list @t315))
% 0.36/0.69  (define @t326 () (forall @t325 (or (not (tptp.irel @t6 @t315)) @t324)))
% 0.36/0.69  (define @t327 () (or @t88 @t326 @t323))
% 0.36/0.69  (define @t328 () (or @t326 @t323))
% 0.36/0.69  (define @t329 () (not (tptp.irel @t6 @t311)))
% 0.36/0.69  (define @t330 () (not (tptp.irel @t6 @t312)))
% 0.36/0.69  (define @t331 () (or @t88 @t330 @t320 @t329 @t318))
% 0.36/0.69  (define @t332 () (@list @t6 @t312 @t311))
% 0.36/0.69  (define @t333 () (forall @t332 @t331))
% 0.36/0.69  (define @t334 () (tptp.o22 @t6))
% 0.36/0.69  (define @t335 () (tptp.o12 @t6))
% 0.36/0.69  (define @t336 () (forall @t36 (or @t88 (and @t335 @t334))))
% 0.36/0.69  (define @t337 () (or @t336 @t333))
% 0.36/0.69  (define @t338 () (lambda @t90 @t337))
% 0.36/0.69  (define @t339 () (or @t88 (_ @t338 @t6)))
% 0.36/0.69  (define @t340 () (forall @t36 @t339))
% 0.36/0.69  (define @t341 () (or @t298 @t340))
% 0.36/0.69  (define @t342 () (lambda @t90 @t341))
% 0.36/0.69  (define @t343 () (or @t329 @t318))
% 0.36/0.69  (define @t344 () (or @t330 @t320))
% 0.36/0.69  (define @t345 () (or @t88 @t344 @t343))
% 0.36/0.69  (define @t346 () (forall @t332 @t345))
% 0.36/0.69  (define @t347 () (forall (@list @t312 @t311) @t345))
% 0.36/0.69  (define @t348 () (forall (@list @t311) @t343))
% 0.36/0.69  (define @t349 () (@var "BOUND_VARIABLE_8416" $$unsorted))
% 0.36/0.69  (define @t350 () (@list @t349))
% 0.36/0.69  (define @t351 () (forall (@list @t312) @t344))
% 0.36/0.69  (define @t352 () (@var "BOUND_VARIABLE_8426" $$unsorted))
% 0.36/0.69  (define @t353 () (@list @t352))
% 0.36/0.69  (define @t354 () (or @t88 @t351 @t348))
% 0.36/0.69  (define @t355 () (and (tptp.o22 @t349) (tptp.o32 @t349)))
% 0.36/0.69  (define @t356 () (@list @t349))
% 0.36/0.69  (define @t357 () (forall @t356 (or (not (tptp.irel @t6 @t349)) @t355)))
% 0.36/0.69  (define @t358 () (and (tptp.o12 @t352) (tptp.o32 @t352)))
% 0.36/0.69  (define @t359 () (@list @t352))
% 0.36/0.69  (define @t360 () (forall @t359 (or (not (tptp.irel @t6 @t352)) @t358)))
% 0.36/0.69  (define @t361 () (or @t88 @t360 @t357))
% 0.36/0.69  (define @t362 () (or @t360 @t357))
% 0.36/0.69  (define @t363 () (forall @t36 (or @t88 (and @t334 @t84))))
% 0.36/0.69  (define @t364 () (forall @t36 (or @t88 (and @t335 @t84))))
% 0.36/0.69  (define @t365 () (or @t364 @t363))
% 0.36/0.69  (define @t366 () (lambda @t90 @t365))
% 0.36/0.69  (define @t367 () (or @t88 (_ @t366 @t6)))
% 0.36/0.69  (define @t368 () (forall @t36 @t367))
% 0.36/0.69  (define @t369 () (or @t336 @t368))
% 0.36/0.69  (define @t370 () (lambda @t90 @t369))
% 0.36/0.69  (define @t371 () (_ tptp.o22 @t6))
% 0.36/0.69  (define @t372 () (and @t371 @t96))
% 0.36/0.69  (define @t373 () (or @t88 @t372))
% 0.36/0.69  (define @t374 () (_ tptp.o22 @t30))
% 0.36/0.69  (define @t375 () (lambda @t90 (and @t374 @t98)))
% 0.36/0.69  (define @t376 () (_ @t375 @t6))
% 0.36/0.69  (define @t377 () (or @t88 @t376))
% 0.36/0.69  (define @t378 () (forall @t36 @t377))
% 0.36/0.69  (define @t379 () (or @t364 @t378))
% 0.36/0.69  (define @t380 () (lambda @t90 @t379))
% 0.36/0.69  (define @t381 () (_ @t99 @t30))
% 0.36/0.69  (define @t382 () (and @t374 @t381))
% 0.36/0.69  (define @t383 () (lambda @t90 @t382))
% 0.36/0.69  (define @t384 () (_ @t48 @t30))
% 0.36/0.69  (define @t385 () (lambda @t90 @t374))
% 0.36/0.69  (define @t386 () (_ @t385 @t30))
% 0.36/0.69  (define @t387 () (and @t386 @t384))
% 0.36/0.69  (define @t388 () (lambda @t107 @t387))
% 0.36/0.69  (define @t389 () (and @t40 @t384))
% 0.36/0.69  (define @t390 () (lambda @t49 @t389))
% 0.36/0.69  (define @t391 () (_ @t42 tptp.o22))
% 0.36/0.69  (define @t392 () (_ tptp.o12 @t6))
% 0.36/0.69  (define @t393 () (and @t392 @t96))
% 0.36/0.69  (define @t394 () (or @t88 @t393))
% 0.36/0.69  (define @t395 () (_ tptp.o12 @t30))
% 0.36/0.69  (define @t396 () (lambda @t90 (and @t395 @t98)))
% 0.36/0.69  (define @t397 () (_ @t396 @t6))
% 0.36/0.69  (define @t398 () (or @t88 @t397))
% 0.36/0.69  (define @t399 () (forall @t36 @t398))
% 0.36/0.69  (define @t400 () (or @t399 @t106))
% 0.36/0.69  (define @t401 () (lambda @t107 @t400))
% 0.36/0.69  (define @t402 () (and @t395 @t381))
% 0.36/0.69  (define @t403 () (lambda @t90 @t402))
% 0.36/0.69  (define @t404 () (lambda @t107 (and @t395 @t384)))
% 0.36/0.69  (define @t405 () (lambda @t90 @t395))
% 0.36/0.69  (define @t406 () (_ @t405 @t30))
% 0.36/0.69  (define @t407 () (and @t406 @t384))
% 0.36/0.69  (define @t408 () (lambda @t107 @t407))
% 0.36/0.69  (define @t409 () (_ @t42 tptp.o12))
% 0.36/0.69  (define @t410 () (and @t392 @t371))
% 0.36/0.69  (define @t411 () (or @t88 @t410))
% 0.36/0.69  (define @t412 () (lambda @t90 (and @t395 @t374)))
% 0.36/0.69  (define @t413 () (_ @t412 @t6))
% 0.36/0.69  (define @t414 () (or @t88 @t413))
% 0.36/0.69  (define @t415 () (forall @t36 @t414))
% 0.36/0.69  (define @t416 () (or @t415 @t106))
% 0.36/0.69  (define @t417 () (lambda @t107 @t416))
% 0.36/0.69  (define @t418 () (and @t395 @t386))
% 0.36/0.69  (define @t419 () (lambda @t90 @t418))
% 0.36/0.69  (define @t420 () (_ tptp.o21 @t6))
% 0.36/0.69  (define @t421 () (and @t420 @t109))
% 0.36/0.69  (define @t422 () (or @t88 @t421))
% 0.36/0.69  (define @t423 () (_ tptp.o21 @t30))
% 0.36/0.69  (define @t424 () (lambda @t90 (and @t423 @t111)))
% 0.36/0.69  (define @t425 () (_ @t424 @t6))
% 0.36/0.69  (define @t426 () (or @t88 @t425))
% 0.36/0.69  (define @t427 () (forall @t36 @t426))
% 0.36/0.69  (define @t428 () (or @t427 @t106))
% 0.36/0.69  (define @t429 () (lambda @t107 @t428))
% 0.36/0.69  (define @t430 () (_ @t112 @t30))
% 0.36/0.69  (define @t431 () (and @t423 @t430))
% 0.36/0.69  (define @t432 () (lambda @t90 @t431))
% 0.36/0.69  (define @t433 () (lambda @t90 @t423))
% 0.36/0.69  (define @t434 () (_ @t433 @t30))
% 0.36/0.69  (define @t435 () (and @t434 @t384))
% 0.36/0.69  (define @t436 () (lambda @t107 @t435))
% 0.36/0.69  (define @t437 () (_ @t42 tptp.o21))
% 0.36/0.69  (define @t438 () (_ tptp.o11 @t6))
% 0.36/0.69  (define @t439 () (and @t438 @t109))
% 0.36/0.69  (define @t440 () (or @t88 @t439))
% 0.36/0.69  (define @t441 () (_ tptp.o11 @t30))
% 0.36/0.69  (define @t442 () (lambda @t90 (and @t441 @t111)))
% 0.36/0.69  (define @t443 () (_ @t442 @t6))
% 0.36/0.69  (define @t444 () (or @t88 @t443))
% 0.36/0.69  (define @t445 () (forall @t36 @t444))
% 0.36/0.69  (define @t446 () (or @t445 @t106))
% 0.36/0.69  (define @t447 () (lambda @t107 @t446))
% 0.36/0.69  (define @t448 () (and @t441 @t430))
% 0.36/0.69  (define @t449 () (lambda @t90 @t448))
% 0.36/0.69  (define @t450 () (lambda @t107 (and @t441 @t384)))
% 0.36/0.69  (define @t451 () (lambda @t90 @t441))
% 0.36/0.69  (define @t452 () (_ @t451 @t30))
% 0.36/0.69  (define @t453 () (and @t452 @t384))
% 0.36/0.69  (define @t454 () (lambda @t107 @t453))
% 0.36/0.69  (define @t455 () (_ @t42 tptp.o11))
% 0.36/0.69  (define @t456 () (and @t438 @t420))
% 0.36/0.69  (define @t457 () (or @t88 @t456))
% 0.36/0.69  (define @t458 () (lambda @t90 (and @t441 @t423)))
% 0.36/0.69  (define @t459 () (_ @t458 @t6))
% 0.36/0.69  (define @t460 () (or @t88 @t459))
% 0.36/0.69  (define @t461 () (forall @t36 @t460))
% 0.36/0.69  (define @t462 () (or @t461 @t106))
% 0.36/0.69  (define @t463 () (lambda @t107 @t462))
% 0.36/0.69  (define @t464 () (and @t441 @t434))
% 0.36/0.69  (define @t465 () (lambda @t90 @t464))
% 0.36/0.69  (define @t466 () (_ @t390 @t409))
% 0.36/0.69  (define @t467 () (_ @t390 @t455))
% 0.36/0.69  (define @t468 () (_ @t34 @t21))
% 0.36/0.69  (define @t469 () (lambda @t125 (and @t468 (_ @t48 @t21))))
% 0.36/0.69  (define @t470 () (lambda @t132 (and @t468 @t26)))
% 0.36/0.69  (define @t471 () (tptp.irel @t178 @t175))
% 0.36/0.69  (define @t472 () (tptp.o32 @t174))
% 0.36/0.69  (define @t473 () (tptp.o22 @t174))
% 0.36/0.69  (define @t474 () (and @t473 @t472))
% 0.36/0.69  (define @t475 () (tptp.irel @t175 @t174))
% 0.36/0.69  (define @t476 () (not @t475))
% 0.36/0.69  (define @t477 () (@quantifiers_skolemize @t173 9))
% 0.36/0.69  (define @t478 () (tptp.o32 @t477))
% 0.36/0.69  (define @t479 () (tptp.o12 @t477))
% 0.36/0.69  (define @t480 () (and @t479 @t478))
% 0.36/0.69  (define @t481 () (tptp.irel @t175 @t477))
% 0.36/0.69  (define @t482 () (not @t481))
% 0.36/0.69  (define @t483 () (not @t471))
% 0.36/0.69  (define @t484 () (@quantifiers_skolemize @t173 7))
% 0.36/0.69  (define @t485 () (tptp.o22 @t484))
% 0.36/0.69  (define @t486 () (tptp.o12 @t484))
% 0.36/0.69  (define @t487 () (and @t486 @t485))
% 0.36/0.69  (define @t488 () (tptp.irel @t178 @t484))
% 0.36/0.69  (define @t489 () (not @t488))
% 0.36/0.69  (define @t490 () (tptp.irel @t177 @t178))
% 0.36/0.69  (define @t491 () (not @t490))
% 0.36/0.69  (define @t492 () (@quantifiers_skolemize @t173 5))
% 0.36/0.69  (define @t493 () (tptp.o31 @t492))
% 0.36/0.69  (define @t494 () (tptp.o21 @t492))
% 0.36/0.69  (define @t495 () (and @t494 @t493))
% 0.36/0.69  (define @t496 () (tptp.irel @t177 @t492))
% 0.36/0.69  (define @t497 () (not @t496))
% 0.36/0.69  (define @t498 () (@quantifiers_skolemize @t173 2))
% 0.36/0.69  (define @t499 () (tptp.irel @t498 @t177))
% 0.36/0.69  (define @t500 () (not @t499))
% 0.36/0.69  (define @t501 () (@quantifiers_skolemize @t173 3))
% 0.36/0.69  (define @t502 () (tptp.o31 @t501))
% 0.36/0.69  (define @t503 () (tptp.o11 @t501))
% 0.36/0.69  (define @t504 () (and @t503 @t502))
% 0.36/0.69  (define @t505 () (tptp.irel @t498 @t501))
% 0.36/0.69  (define @t506 () (not @t505))
% 0.36/0.69  (define @t507 () (tptp.irel @t176 @t498))
% 0.36/0.69  (define @t508 () (not @t507))
% 0.36/0.69  (define @t509 () (@quantifiers_skolemize @t173 1))
% 0.36/0.69  (define @t510 () (tptp.o21 @t509))
% 0.36/0.69  (define @t511 () (tptp.o11 @t509))
% 0.36/0.69  (define @t512 () (and @t511 @t510))
% 0.36/0.69  (define @t513 () (tptp.irel @t176 @t509))
% 0.36/0.69  (define @t514 () (not @t513))
% 0.36/0.69  (define @t515 () (or @t514 @t512 @t508 @t506 @t504 @t500 @t497 @t495 @t491 @t489 @t487 @t483 @t482 @t480 @t476 @t474))
% 0.36/0.69  (define @t516 () (@list true))
% 0.36/0.69  (define @t517 () (@list @t515))
% 0.36/0.69  (define @t518 () (tptp.irel @t177 @t175))
% 0.36/0.69  (define @t519 () (or @t491 @t483 @t518))
% 0.36/0.69  (define @t520 () (@list false false false))
% 0.36/0.69  (define @t521 () (tptp.irel @t176 @t177))
% 0.36/0.69  (define @t522 () (or @t508 @t500 @t521))
% 0.36/0.69  (define @t523 () (tptp.irel @t176 @t175))
% 0.36/0.69  (define @t524 () (not @t518))
% 0.36/0.69  (define @t525 () (not @t521))
% 0.36/0.69  (define @t526 () (or @t525 @t524 @t523))
% 0.36/0.69  (define @t527 () (tptp.irel @t176 @t174))
% 0.36/0.69  (define @t528 () (not @t523))
% 0.36/0.69  (define @t529 () (or @t528 @t476 @t527))
% 0.36/0.69  (define @t530 () (tptp.irel @t176 @t501))
% 0.36/0.69  (define @t531 () (or @t508 @t506 @t530))
% 0.36/0.69  (define @t532 () (@var "BOUND_VARIABLE_8165" $$unsorted))
% 0.36/0.69  (define @t533 () (tptp.o22 @t532))
% 0.36/0.69  (define @t534 () (not (tptp.irel @t45 @t532)))
% 0.36/0.69  (define @t535 () (@var "BOUND_VARIABLE_8159" $$unsorted))
% 0.36/0.69  (define @t536 () (tptp.o21 @t535))
% 0.36/0.69  (define @t537 () (not (tptp.irel @t45 @t535)))
% 0.36/0.69  (define @t538 () (or @t534 @t533))
% 0.36/0.69  (define @t539 () (or @t537 @t536))
% 0.36/0.69  (define @t540 () (or @t539 @t538))
% 0.36/0.69  (define @t541 () (forall (@list @t45 @t535 @t532) @t540))
% 0.36/0.69  (define @t542 () (forall (@list @t535 @t532) @t540))
% 0.36/0.69  (define @t543 () (forall (@list @t532) @t538))
% 0.36/0.69  (define @t544 () (forall (@list @t535) @t539))
% 0.36/0.69  (define @t545 () (or @t544 @t543))
% 0.36/0.69  (define @t546 () (or (forall @t36 (or @t85 @t209)) (forall @t36 (or @t85 @t334))))
% 0.36/0.69  (define @t547 () (forall @t36 (or @t88 @t209)))
% 0.36/0.69  (define @t548 () (lambda @t90 (or @t547 (forall @t36 (or @t88 @t334)))))
% 0.36/0.69  (define @t549 () (_ @t548 @t45))
% 0.36/0.69  (define @t550 () (forall @t46 @t549))
% 0.36/0.69  (define @t551 () (or @t88 @t371))
% 0.36/0.69  (define @t552 () (_ @t385 @t6))
% 0.36/0.69  (define @t553 () (or @t88 @t552))
% 0.36/0.69  (define @t554 () (forall @t36 @t553))
% 0.36/0.69  (define @t555 () (or @t547 @t554))
% 0.36/0.69  (define @t556 () (lambda @t90 @t555))
% 0.36/0.69  (define @t557 () (or @t88 @t420))
% 0.36/0.69  (define @t558 () (_ @t433 @t6))
% 0.36/0.69  (define @t559 () (or @t88 @t558))
% 0.36/0.69  (define @t560 () (forall @t36 @t559))
% 0.36/0.69  (define @t561 () (or @t560 @t106))
% 0.36/0.69  (define @t562 () (lambda @t107 @t561))
% 0.36/0.69  (define @t563 () (@var "BOUND_VARIABLE_8100" $$unsorted))
% 0.36/0.69  (define @t564 () (tptp.o12 @t563))
% 0.36/0.69  (define @t565 () (not (tptp.irel @t45 @t563)))
% 0.36/0.69  (define @t566 () (@var "BOUND_VARIABLE_8094" $$unsorted))
% 0.36/0.69  (define @t567 () (tptp.o11 @t566))
% 0.36/0.69  (define @t568 () (not (tptp.irel @t45 @t566)))
% 0.36/0.69  (define @t569 () (or @t565 @t564))
% 0.36/0.69  (define @t570 () (or @t568 @t567))
% 0.36/0.69  (define @t571 () (or @t570 @t569))
% 0.36/0.69  (define @t572 () (forall (@list @t45 @t566 @t563) @t571))
% 0.36/0.69  (define @t573 () (forall (@list @t566 @t563) @t571))
% 0.36/0.69  (define @t574 () (forall (@list @t563) @t569))
% 0.36/0.69  (define @t575 () (forall (@list @t566) @t570))
% 0.36/0.69  (define @t576 () (or @t575 @t574))
% 0.36/0.69  (define @t577 () (or (forall @t36 (or @t85 @t210)) (forall @t36 (or @t85 @t335))))
% 0.36/0.69  (define @t578 () (forall @t36 (or @t88 @t210)))
% 0.36/0.69  (define @t579 () (lambda @t90 (or @t578 (forall @t36 (or @t88 @t335)))))
% 0.36/0.69  (define @t580 () (_ @t579 @t45))
% 0.36/0.69  (define @t581 () (forall @t46 @t580))
% 0.36/0.69  (define @t582 () (or @t88 @t392))
% 0.36/0.69  (define @t583 () (_ @t405 @t6))
% 0.36/0.69  (define @t584 () (or @t88 @t583))
% 0.36/0.69  (define @t585 () (forall @t36 @t584))
% 0.36/0.69  (define @t586 () (or @t578 @t585))
% 0.36/0.69  (define @t587 () (lambda @t90 @t586))
% 0.36/0.69  (define @t588 () (or @t88 @t438))
% 0.36/0.69  (define @t589 () (_ @t451 @t6))
% 0.36/0.69  (define @t590 () (or @t88 @t589))
% 0.36/0.69  (define @t591 () (forall @t36 @t590))
% 0.36/0.69  (define @t592 () (or @t591 @t106))
% 0.36/0.69  (define @t593 () (lambda @t107 @t592))
% 0.36/0.69  (define @t594 () (tptp.irel @t178 @t477))
% 0.36/0.69  (define @t595 () (or @t483 @t482 @t594))
% 0.36/0.69  (define @t596 () (tptp.irel @t177 @t477))
% 0.36/0.69  (define @t597 () (not @t594))
% 0.36/0.69  (define @t598 () (or @t491 @t597 @t596))
% 0.36/0.69  (define @t599 () (tptp.irel @t176 @t477))
% 0.36/0.69  (define @t600 () (not @t596))
% 0.36/0.69  (define @t601 () (or @t525 @t600 @t599))
% 0.36/0.69  (define @t602 () (tptp.irel @t498 @t492))
% 0.36/0.69  (define @t603 () (or @t500 @t497 @t602))
% 0.36/0.69  (define @t604 () (tptp.irel @t176 @t492))
% 0.36/0.69  (define @t605 () (not @t602))
% 0.36/0.69  (define @t606 () (or @t508 @t605 @t604))
% 0.36/0.69  (define @t607 () (not @t599))
% 0.36/0.69  (define @t608 () (not @t604))
% 0.36/0.69  (define @t609 () (or @t608 @t493 @t607 @t478))
% 0.36/0.69  (define @t610 () (@list @t176 @t501 @t477))
% 0.36/0.69  (define @t611 () (not @t530))
% 0.36/0.69  (define @t612 () (or @t611 @t502 @t607 @t478))
% 0.36/0.69  (define @t613 () (tptp.irel @t177 @t484))
% 0.36/0.69  (define @t614 () (or @t491 @t489 @t613))
% 0.36/0.69  (define @t615 () (not @t613))
% 0.36/0.69  (define @t616 () (or @t497 @t494 @t615 @t485))
% 0.36/0.69  (define @t617 () (tptp.irel @t498 @t484))
% 0.36/0.69  (define @t618 () (or @t500 @t615 @t617))
% 0.36/0.69  (define @t619 () (not @t617))
% 0.36/0.69  (define @t620 () (or @t506 @t503 @t619 @t486))
% 0.36/0.69  (define @t621 () (@list true false))
% 0.36/0.69  (define @t622 () (or @t514 @t511 @t607 @t479))
% 0.36/0.69  (define @t623 () (@list false true false false))
% 0.36/0.69  (define @t624 () (not @t527))
% 0.36/0.69  (define @t625 () (or @t514 @t510 @t624 @t473))
% 0.36/0.69  (define @t626 () (or @t611 @t503 @t607 @t479))
% 0.36/0.69  (define @t627 () (or @t611 @t502 @t624 @t472))
% 0.36/0.69  (define @t628 () (not @t627))
% 0.36/0.69  (define @t629 () (forall @t77 @t73))
% 0.36/0.69  (assume @p1 (forall @t3 (_ @t2 @t1)))
% 0.36/0.69  (assume @p2 @t11)
% 0.36/0.69  (assume @p3 (= tptp.ifalse (_ tptp.inot tptp.itrue)))
% 0.36/0.69  (assume @p4 (_ tptp.ivalid (_ (_ tptp.ior @t13) @t12)))
% 0.36/0.69  (assume @p5 (_ tptp.ivalid (_ (_ tptp.ior @t15) @t14)))
% 0.36/0.69  (assume @p6 (_ tptp.ivalid (_ (_ tptp.ior @t17) @t16)))
% 0.36/0.69  (assume @p7 @t20)
% 0.36/0.69  (assume @p8 true)
% 0.36/0.69  (step @p9 (= tptp.mnot @t24) :rule refl :args (@t24))
% 0.36/0.69  (step @p10 (= tptp.mor @t28) :rule refl :args (@t28))
% 0.36/0.69  (step @p11 (= tptp.mand @t29) :rule refl :args (@t29))
% 0.36/0.69  (step @p12 (= tptp.mimplies @t33) :rule refl :args (@t33))
% 0.36/0.69  (step @p13 (= tptp.mbox_s4 @t39) :rule refl :args (@t39))
% 0.36/0.69  (step @p14 (= tptp.iatom @t42) :rule refl :args (@t42))
% 0.36/0.69  (step @p15 (= tptp.inot @t44) :rule refl :args (@t44))
% 0.36/0.69  (step @p16 (= tptp.itrue @t47) :rule refl :args (@t47))
% 0.36/0.69  (step @p17 (= tptp.iand @t50) :rule refl :args (@t50))
% 0.36/0.69  (step @p18 (= tptp.ior @t52) :rule refl :args (@t52))
% 0.36/0.69  (step @p19 (= tptp.iimplies @t53) :rule refl :args (@t53))
% 0.36/0.69  (step @p20 (= tptp.iimplied @t55) :rule refl :args (@t55))
% 0.36/0.69  (step @p21 (= tptp.iequiv @t56) :rule refl :args (@t56))
% 0.36/0.69  (step @p22 (= tptp.ixor @t57) :rule refl :args (@t57))
% 0.36/0.69  (step @p23 (= tptp.ivalid @t62) :rule refl :args (@t62))
% 0.36/0.69  (step @p24 (= tptp.isatisfiable @t63) :rule refl :args (@t63))
% 0.36/0.69  (step @p25 (= tptp.icountersatisfiable @t65) :rule refl :args (@t65))
% 0.36/0.69  (step @p26 (= tptp.iinvalid @t66) :rule refl :args (@t66))
% 0.36/0.69  (step @p27 :rule aci_norm :args ((= @t76 @t73)))
% 0.36/0.69  (step @p28 :rule cong :premises (@p27) :args (@t78))
% 0.36/0.69  (step @p29 :rule quant-merge-prenex :args ((= (forall @t46 @t79) @t78)))
% 0.36/0.69  (step @p30 :rule alpha_equiv :args (@t80 (@list @t67) @t81))
% 0.36/0.69  (step @p31 :rule alpha_equiv :args (@t82 (@list @t70) @t81))
% 0.36/0.69  (step @p32 :rule nary_cong :premises (@p31 @p30) :args (@t83))
% 0.36/0.69  (step @p33 :rule quant-miniscope-or :args ((= @t79 @t83)))
% 0.36/0.69  (step @p34 :rule trans :premises (@p33 @p32))
% 0.36/0.69  (step @p35 :rule symm :premises (@p34))
% 0.36/0.69  (step @p36 :rule cong :premises (@p35) :args ((forall @t46 @t87)))
% 0.36/0.69  (step @p37 :rule trans :premises (@p36 @p29))
% 0.36/0.69  (step @p38 :rule trans :premises (@p37 @p28))
% 0.36/0.69  (step @p39 :rule beta-reduce :args ((= @t92 @t87)))
% 0.36/0.69  (step @p40 :rule cong :premises (@p39) :args (@t93))
% 0.36/0.69  (step @p41 :rule trans :premises (@p40 @p38))
% 0.36/0.69  (step @p42 :rule beta-reduce :args ((= (_ @t95 @t91) @t93)))
% 0.36/0.69  (step @p43 :rule trans :premises (@p42 @p41))
% 0.36/0.69  (step @p44 :rule refl :args (@t84))
% 0.36/0.69  (step @p45 :rule refl :args (@t96))
% 0.36/0.69  (step @p46 :rule cong :premises (@p45 @p44) :args ((= @t96 @t84)))
% 0.36/0.69  (step @p47 :rule symm :premises (@p46))
% 0.36/0.69  (step @p48 :rule eq_resolve :premises (@p45 @p47))
% 0.36/0.69  (step @p49 :rule refl :args (@t88))
% 0.36/0.69  (step @p50 :rule nary_cong :premises (@p49 @p48) :args (@t97))
% 0.36/0.69  (step @p51 :rule cong :premises (@p50) :args ((forall @t36 @t97)))
% 0.36/0.69  (step @p52 :rule beta-reduce :args ((= @t100 @t96)))
% 0.36/0.69  (step @p53 :rule refl :args (@t88))
% 0.36/0.69  (step @p54 :rule nary_cong :premises (@p53 @p52) :args (@t101))
% 0.36/0.69  (step @p55 :rule cong :premises (@p54) :args (@t102))
% 0.36/0.69  (step @p56 :rule trans :premises (@p55 @p51))
% 0.36/0.69  (step @p57 :rule refl :args (@t89))
% 0.36/0.69  (step @p58 :rule nary_cong :premises (@p57 @p56) :args (@t103))
% 0.36/0.69  (step @p59 :rule cong :premises (@p58) :args (@t104))
% 0.36/0.69  (step @p60 :rule beta-reduce :args ((= (_ (lambda @t107 (or @t89 @t106)) @t99) @t104)))
% 0.36/0.69  (step @p61 :rule trans :premises (@p60 @p59))
% 0.36/0.69  (step @p62 :rule beta-reduce :args ((= @t108 @t99)))
% 0.36/0.69  (step @p63 :rule refl :args (@t106))
% 0.36/0.69  (step @p64 :rule refl :args (@t86))
% 0.36/0.69  (step @p65 :rule refl :args (@t109))
% 0.36/0.69  (step @p66 :rule cong :premises (@p65 @p64) :args ((= @t109 @t86)))
% 0.36/0.69  (step @p67 :rule symm :premises (@p66))
% 0.36/0.69  (step @p68 :rule eq_resolve :premises (@p65 @p67))
% 0.36/0.69  (step @p69 :rule nary_cong :premises (@p49 @p68) :args (@t110))
% 0.36/0.69  (step @p70 :rule cong :premises (@p69) :args ((forall @t36 @t110)))
% 0.36/0.69  (step @p71 :rule beta-reduce :args ((= @t113 @t109)))
% 0.36/0.69  (step @p72 :rule nary_cong :premises (@p53 @p71) :args (@t114))
% 0.36/0.69  (step @p73 :rule cong :premises (@p72) :args (@t115))
% 0.36/0.69  (step @p74 :rule trans :premises (@p73 @p70))
% 0.36/0.69  (step @p75 :rule nary_cong :premises (@p74 @p63) :args (@t116))
% 0.36/0.69  (step @p76 :rule cong :premises (@p75) :args (@t117))
% 0.36/0.69  (step @p77 :rule beta-reduce :args ((= (_ @t120 @t112) @t117)))
% 0.36/0.69  (step @p78 :rule trans :premises (@p77 @p76))
% 0.36/0.69  (step @p79 :rule beta-reduce :args ((= @t121 @t112)))
% 0.36/0.69  (step @p80 :rule refl :args (@t120))
% 0.36/0.69  (step @p81 :rule ho_cong :premises (@p80 @p79))
% 0.36/0.69  (step @p82 :rule trans :premises (@p81 @p78))
% 0.36/0.69  (step @p83 :rule ho_cong :premises (@p82 @p62))
% 0.36/0.69  (step @p84 :rule trans :premises (@p83 @p61))
% 0.36/0.69  (step @p85 :rule refl :args (@t95))
% 0.36/0.69  (step @p86 :rule ho_cong :premises (@p85 @p84))
% 0.36/0.69  (step @p87 :rule trans :premises (@p86 @p43))
% 0.36/0.69  (step @p88 :rule refl :args (tptp.o32))
% 0.36/0.69  (step @p89 :rule ho_cong :premises (@p14 @p88))
% 0.36/0.69  (step @p90 :rule refl :args (tptp.o31))
% 0.36/0.69  (step @p91 :rule ho_cong :premises (@p14 @p90))
% 0.36/0.69  (step @p92 :rule beta-reduce :args ((= (_ (lambda @t125 (or @t124 @t123)) @t30) @t119)))
% 0.36/0.69  (step @p93 :rule refl :args (@t30))
% 0.36/0.69  (step @p94 :rule beta-reduce :args ((= @t129 @t123)))
% 0.36/0.69  (step @p95 :rule refl :args (@t124))
% 0.36/0.69  (step @p96 :rule nary_cong :premises (@p95 @p94) :args (@t130))
% 0.36/0.69  (step @p97 :rule cong :premises (@p96) :args (@t131))
% 0.36/0.69  (step @p98 :rule beta-reduce :args ((= (_ (lambda @t132 (or @t124 @t26)) @t128) @t131)))
% 0.36/0.69  (step @p99 :rule trans :premises (@p98 @p97))
% 0.36/0.69  (step @p100 :rule beta-reduce :args ((= (_ @t134 @t48) @t128)))
% 0.36/0.69  (step @p101 :rule refl :args (@t26))
% 0.36/0.69  (step @p102 :rule beta-reduce :args ((= @t136 @t124)))
% 0.36/0.69  (step @p103 :rule nary_cong :premises (@p102 @p101) :args (@t137))
% 0.36/0.69  (step @p104 :rule cong :premises (@p103) :args (@t138))
% 0.36/0.69  (step @p105 :rule beta-reduce :args ((= (_ @t28 @t135) @t138)))
% 0.36/0.69  (step @p106 :rule trans :premises (@p105 @p104))
% 0.36/0.69  (step @p107 :rule beta-reduce :args ((= (_ @t134 @t34) @t135)))
% 0.36/0.69  (step @p108 :rule refl :args (@t28))
% 0.36/0.69  (step @p109 :rule ho_cong :premises (@p108 @p107))
% 0.36/0.69  (step @p110 :rule trans :premises (@p109 @p106))
% 0.36/0.69  (step @p111 :rule ho_cong :premises (@p110 @p100))
% 0.36/0.69  (step @p112 :rule trans :premises (@p111 @p99))
% 0.36/0.69  (step @p113 :rule ho_cong :premises (@p112 @p93))
% 0.36/0.69  (step @p114 :rule trans :premises (@p113 @p92))
% 0.36/0.69  (step @p115 :rule refl :args (@t48))
% 0.36/0.69  (step @p116 :rule refl :args (@t118))
% 0.36/0.69  (step @p117 :rule refl :args (@t35))
% 0.36/0.69  (step @p118 :rule cong :premises (@p117 @p116) :args ((= @t35 @t118)))
% 0.36/0.69  (step @p119 :rule symm :premises (@p118))
% 0.36/0.69  (step @p120 :rule eq_resolve :premises (@p117 @p119))
% 0.36/0.69  (step @p121 :rule refl :args (@t126))
% 0.36/0.69  (step @p122 :rule refl :args (@t8))
% 0.36/0.69  (step @p123 :rule cong :premises (@p122 @p121) :args ((= @t8 @t126)))
% 0.36/0.69  (step @p124 :rule symm :premises (@p123))
% 0.36/0.69  (step @p125 :rule eq_resolve :premises (@p122 @p124))
% 0.36/0.69  (step @p126 :rule cong :premises (@p125) :args (@t139))
% 0.36/0.69  (step @p127 :rule nary_cong :premises (@p126 @p120) :args (@t140))
% 0.36/0.69  (step @p128 :rule cong :premises (@p127) :args ((forall @t36 @t140)))
% 0.36/0.69  (step @p129 :rule bool-impl-elim :args (@t8 @t35))
% 0.36/0.69  (step @p130 :rule cong :premises (@p129) :args (@t37))
% 0.36/0.69  (step @p131 :rule trans :premises (@p130 @p128))
% 0.36/0.69  (step @p132 :rule cong :premises (@p131) :args (@t39))
% 0.36/0.69  (step @p133 :rule trans :premises (@p13 @p132))
% 0.36/0.69  (step @p134 :rule ho_cong :premises (@p133 @p115))
% 0.36/0.69  (step @p135 :rule refl :args (@t34))
% 0.36/0.69  (step @p136 :rule ho_cong :premises (@p133 @p135))
% 0.36/0.69  (step @p137 :rule ho_cong :premises (@p10 @p136))
% 0.36/0.69  (step @p138 :rule ho_cong :premises (@p137 @p134))
% 0.36/0.69  (step @p139 :rule ho_cong :premises (@p138 @p93))
% 0.36/0.69  (step @p140 :rule trans :premises (@p139 @p114))
% 0.36/0.69  (step @p141 :rule cong :premises (@p140) :args (@t52))
% 0.36/0.69  (step @p142 :rule trans :premises (@p18 @p141))
% 0.36/0.69  (step @p143 :rule ho_cong :premises (@p142 @p91))
% 0.36/0.69  (step @p144 :rule ho_cong :premises (@p143 @p89))
% 0.36/0.69  (step @p145 :rule refl :args (@t94))
% 0.36/0.69  (step @p146 :rule refl :args (@t59))
% 0.36/0.69  (step @p147 :rule cong :premises (@p146 @p145) :args ((= @t59 @t94)))
% 0.36/0.69  (step @p148 :rule symm :premises (@p147))
% 0.36/0.69  (step @p149 :rule eq_resolve :premises (@p146 @p148))
% 0.36/0.69  (step @p150 :rule cong :premises (@p149) :args (@t60))
% 0.36/0.69  (step @p151 :rule cong :premises (@p150) :args (@t62))
% 0.36/0.69  (step @p152 :rule trans :premises (@p23 @p151))
% 0.36/0.69  (step @p153 :rule ho_cong :premises (@p152 @p144))
% 0.36/0.69  (step @p154 :rule trans :premises (@p153 @p87))
% 0.36/0.69  (step @p155 :rule eq_resolve :premises (@p6 @p154))
% 0.36/0.69  (step @p156 :rule refl :args (@t141))
% 0.36/0.69  (step @p157 :rule refl :args (@t5))
% 0.36/0.69  (step @p158 :rule cong :premises (@p157 @p156) :args ((= @t5 @t141)))
% 0.36/0.69  (step @p159 :rule symm :premises (@p158))
% 0.36/0.69  (step @p160 :rule eq_resolve :premises (@p157 @p159))
% 0.36/0.69  (step @p161 :rule refl :args (@t142))
% 0.36/0.69  (step @p162 :rule refl :args (@t7))
% 0.36/0.69  (step @p163 :rule cong :premises (@p162 @p161) :args ((= @t7 @t142)))
% 0.36/0.69  (step @p164 :rule symm :premises (@p163))
% 0.36/0.69  (step @p165 :rule eq_resolve :premises (@p162 @p164))
% 0.36/0.69  (step @p166 :rule cong :premises (@p165) :args (@t143))
% 0.36/0.69  (step @p167 :rule nary_cong :premises (@p126 @p166 @p160) :args (@t144))
% 0.36/0.69  (step @p168 :rule cong :premises (@p167) :args ((forall @t10 @t144)))
% 0.36/0.69  (step @p169 :rule aci_norm :args ((= (or (or @t139 @t143) @t5) @t144)))
% 0.36/0.69  (step @p170 :rule bool-and-de-morgan :args (@t8 @t7 true))
% 0.36/0.69  (step @p171 :rule nary_cong :premises (@p170 @p157) :args ((or (not @t9) @t5)))
% 0.36/0.69  (step @p172 :rule trans :premises (@p171 @p169))
% 0.36/0.69  (step @p173 :rule bool-impl-elim :args (@t9 @t5))
% 0.36/0.69  (step @p174 :rule trans :premises (@p173 @p172))
% 0.36/0.69  (step @p175 :rule cong :premises (@p174) :args (@t11))
% 0.36/0.69  (step @p176 :rule trans :premises (@p175 @p168))
% 0.36/0.69  (step @p177 :rule eq_resolve :premises (@p2 @p176))
% 0.36/0.69  (step @p178 :rule instantiate :premises (@p177) :args ((@list @t176 @t175 @t174)))
% 0.36/0.69  (step @p179 :rule instantiate :premises (@p177) :args ((@list @t176 @t177 @t175)))
% 0.36/0.69  (step @p180 :rule instantiate :premises (@p177) :args ((@list @t177 @t178 @t175)))
% 0.36/0.69  (step @p181 :rule aci_norm :args ((= @t181 @t171)))
% 0.36/0.69  (step @p182 :rule cong :premises (@p181) :args (@t182))
% 0.36/0.69  (step @p183 :rule quant-merge-prenex :args ((= (forall @t46 @t183) @t182)))
% 0.36/0.69  (step @p184 :rule alpha_equiv :args (@t184 (@list @t162 @t164 @t157 @t159 @t152 @t154 @t147 @t149 @t145) (@list @t6 @t192 @t191 @t190 @t189 @t188 @t187 @t186 @t185)))
% 0.36/0.69  (step @p185 :rule alpha_equiv :args (@t193 (@list @t168) @t81))
% 0.36/0.69  (step @p186 :rule nary_cong :premises (@p185 @p184) :args (@t194))
% 0.36/0.69  (step @p187 :rule quant-miniscope-or :args ((= @t183 @t194)))
% 0.36/0.69  (step @p188 :rule trans :premises (@p187 @p186))
% 0.36/0.69  (step @p189 :rule symm :premises (@p188))
% 0.36/0.69  (step @p190 :rule cong :premises (@p189) :args ((forall @t46 @t212)))
% 0.36/0.69  (step @p191 :rule trans :premises (@p190 @p183))
% 0.36/0.69  (step @p192 :rule trans :premises (@p191 @p182))
% 0.36/0.69  (step @p193 :rule beta-reduce :args ((= @t216 @t212)))
% 0.36/0.69  (step @p194 :rule cong :premises (@p193) :args (@t217))
% 0.36/0.69  (step @p195 :rule trans :premises (@p194 @p192))
% 0.36/0.69  (step @p196 :rule beta-reduce :args ((= (_ @t95 @t215) @t217)))
% 0.36/0.69  (step @p197 :rule trans :premises (@p196 @p195))
% 0.36/0.69  (step @p198 :rule aci_norm :args ((= @t220 @t213)))
% 0.36/0.69  (step @p199 :rule cong :premises (@p198) :args (@t221))
% 0.36/0.69  (step @p200 :rule quant-merge-prenex :args ((= (forall @t36 @t222) @t221)))
% 0.36/0.69  (step @p201 :rule alpha_equiv :args (@t223 (@list @t191 @t190 @t189 @t188 @t187 @t186 @t185) (@list @t230 @t229 @t228 @t227 @t226 @t225 @t224)))
% 0.36/0.69  (step @p202 :rule alpha_equiv :args (@t231 (@list @t192) @t233))
% 0.36/0.69  (step @p203 :rule nary_cong :premises (@p49 @p202 @p201) :args (@t234))
% 0.36/0.69  (step @p204 :rule quant-miniscope-or :args ((= @t222 @t234)))
% 0.36/0.69  (step @p205 :rule trans :premises (@p204 @p203))
% 0.36/0.69  (step @p206 :rule symm :premises (@p205))
% 0.36/0.69  (step @p207 :rule cong :premises (@p206) :args ((forall @t36 @t250)))
% 0.36/0.69  (step @p208 :rule trans :premises (@p207 @p200))
% 0.36/0.69  (step @p209 :rule trans :premises (@p208 @p199))
% 0.36/0.69  (step @p210 :rule aci_norm :args ((= (or @t88 @t251) @t250)))
% 0.36/0.69  (step @p211 :rule beta-reduce :args ((= (_ (lambda @t90 (or (forall @t248 (or (not (tptp.irel @t30 @t232)) @t247)) (forall @t245 (or (not (tptp.irel @t30 @t230)) @t244 @t243 @t242 @t241 @t240 @t239 @t238 @t237 @t236 @t235)))) @t6) @t251)))
% 0.36/0.69  (step @p212 :rule refl :args (@t6))
% 0.36/0.69  (step @p213 :rule alpha_equiv :args (@t256 @t81 (@list @t230)))
% 0.36/0.69  (step @p214 :rule alpha_equiv :args (@t257 @t81 @t233))
% 0.36/0.69  (step @p215 :rule nary_cong :premises (@p214 @p213) :args (@t258))
% 0.36/0.69  (step @p216 :rule cong :premises (@p215) :args (@t259))
% 0.36/0.69  (step @p217 :rule ho_cong :premises (@p216 @p212))
% 0.36/0.69  (step @p218 :rule trans :premises (@p217 @p211))
% 0.36/0.69  (step @p219 :rule nary_cong :premises (@p53 @p218) :args (@t260))
% 0.36/0.69  (step @p220 :rule trans :premises (@p219 @p210))
% 0.36/0.69  (step @p221 :rule cong :premises (@p220) :args (@t261))
% 0.36/0.69  (step @p222 :rule trans :premises (@p221 @p209))
% 0.36/0.69  (step @p223 :rule refl :args (@t214))
% 0.36/0.69  (step @p224 :rule nary_cong :premises (@p223 @p222) :args (@t262))
% 0.36/0.69  (step @p225 :rule cong :premises (@p224) :args (@t263))
% 0.36/0.69  (step @p226 :rule beta-reduce :args ((= (_ (lambda @t107 (or @t214 @t106)) @t259) @t263)))
% 0.36/0.69  (step @p227 :rule trans :premises (@p226 @p225))
% 0.36/0.69  (step @p228 :rule aci_norm :args ((= @t266 @t254)))
% 0.36/0.69  (step @p229 :rule cong :premises (@p228) :args (@t267))
% 0.36/0.69  (step @p230 :rule quant-merge-prenex :args ((= (forall @t36 @t268) @t267)))
% 0.36/0.69  (step @p231 :rule alpha_equiv :args (@t269 (@list @t228 @t227 @t226 @t225 @t224) (@list @t274 @t273 @t272 @t271 @t270)))
% 0.36/0.69  (step @p232 :rule alpha_equiv :args (@t275 (@list @t229) @t277))
% 0.36/0.69  (step @p233 :rule nary_cong :premises (@p49 @p232 @p231) :args (@t278))
% 0.36/0.69  (step @p234 :rule quant-miniscope-or :args ((= @t268 @t278)))
% 0.36/0.69  (step @p235 :rule trans :premises (@p234 @p233))
% 0.36/0.69  (step @p236 :rule symm :premises (@p235))
% 0.36/0.69  (step @p237 :rule cong :premises (@p236) :args ((forall @t36 @t291)))
% 0.36/0.69  (step @p238 :rule trans :premises (@p237 @p230))
% 0.36/0.69  (step @p239 :rule trans :premises (@p238 @p229))
% 0.36/0.69  (step @p240 :rule aci_norm :args ((= (or @t88 @t292) @t291)))
% 0.36/0.69  (step @p241 :rule beta-reduce :args ((= (_ (lambda @t90 (or (forall @t289 (or (not (tptp.irel @t30 @t276)) @t288)) (forall @t286 (or (not (tptp.irel @t30 @t274)) @t285 @t284 @t283 @t282 @t281 @t280 @t279)))) @t6) @t292)))
% 0.36/0.69  (step @p242 :rule alpha_equiv :args (@t297 @t81 (@list @t274)))
% 0.36/0.69  (step @p243 :rule alpha_equiv :args (@t298 @t81 @t277))
% 0.36/0.69  (step @p244 :rule nary_cong :premises (@p243 @p242) :args (@t299))
% 0.36/0.69  (step @p245 :rule cong :premises (@p244) :args (@t300))
% 0.36/0.69  (step @p246 :rule ho_cong :premises (@p245 @p212))
% 0.36/0.69  (step @p247 :rule trans :premises (@p246 @p241))
% 0.36/0.69  (step @p248 :rule nary_cong :premises (@p53 @p247) :args (@t301))
% 0.36/0.69  (step @p249 :rule trans :premises (@p248 @p240))
% 0.36/0.69  (step @p250 :rule cong :premises (@p249) :args (@t302))
% 0.36/0.69  (step @p251 :rule trans :premises (@p250 @p239))
% 0.36/0.69  (step @p252 :rule refl :args (@t257))
% 0.36/0.69  (step @p253 :rule nary_cong :premises (@p252 @p251) :args (@t303))
% 0.36/0.69  (step @p254 :rule cong :premises (@p253) :args (@t304))
% 0.36/0.69  (step @p255 :rule beta-reduce :args ((= (_ (lambda @t107 (or @t257 @t106)) @t300) @t304)))
% 0.36/0.69  (step @p256 :rule trans :premises (@p255 @p254))
% 0.36/0.69  (step @p257 :rule aci_norm :args ((= @t307 @t295)))
% 0.36/0.69  (step @p258 :rule cong :premises (@p257) :args (@t308))
% 0.36/0.69  (step @p259 :rule quant-merge-prenex :args ((= (forall @t36 @t309) @t308)))
% 0.36/0.69  (step @p260 :rule alpha_equiv :args (@t310 (@list @t272 @t271 @t270) (@list @t313 @t312 @t311)))
% 0.36/0.69  (step @p261 :rule alpha_equiv :args (@t314 (@list @t273) @t316))
% 0.36/0.69  (step @p262 :rule nary_cong :premises (@p49 @p261 @p260) :args (@t317))
% 0.36/0.69  (step @p263 :rule quant-miniscope-or :args ((= @t309 @t317)))
% 0.36/0.69  (step @p264 :rule trans :premises (@p263 @p262))
% 0.36/0.69  (step @p265 :rule symm :premises (@p264))
% 0.36/0.69  (step @p266 :rule cong :premises (@p265) :args ((forall @t36 @t327)))
% 0.36/0.69  (step @p267 :rule trans :premises (@p266 @p259))
% 0.36/0.69  (step @p268 :rule trans :premises (@p267 @p258))
% 0.36/0.69  (step @p269 :rule aci_norm :args ((= (or @t88 @t328) @t327)))
% 0.36/0.69  (step @p270 :rule beta-reduce :args ((= (_ (lambda @t90 (or (forall @t325 (or (not (tptp.irel @t30 @t315)) @t324)) (forall @t322 (or (not (tptp.irel @t30 @t313)) @t321 @t320 @t319 @t318)))) @t6) @t328)))
% 0.36/0.69  (step @p271 :rule alpha_equiv :args (@t333 @t81 (@list @t313)))
% 0.36/0.69  (step @p272 :rule alpha_equiv :args (@t336 @t81 @t316))
% 0.36/0.69  (step @p273 :rule nary_cong :premises (@p272 @p271) :args (@t337))
% 0.36/0.69  (step @p274 :rule cong :premises (@p273) :args (@t338))
% 0.36/0.69  (step @p275 :rule ho_cong :premises (@p274 @p212))
% 0.36/0.69  (step @p276 :rule trans :premises (@p275 @p270))
% 0.36/0.69  (step @p277 :rule nary_cong :premises (@p53 @p276) :args (@t339))
% 0.36/0.69  (step @p278 :rule trans :premises (@p277 @p269))
% 0.36/0.69  (step @p279 :rule cong :premises (@p278) :args (@t340))
% 0.36/0.69  (step @p280 :rule trans :premises (@p279 @p268))
% 0.36/0.69  (step @p281 :rule refl :args (@t298))
% 0.36/0.69  (step @p282 :rule nary_cong :premises (@p281 @p280) :args (@t341))
% 0.36/0.69  (step @p283 :rule cong :premises (@p282) :args (@t342))
% 0.36/0.69  (step @p284 :rule beta-reduce :args ((= (_ (lambda @t107 (or @t298 @t106)) @t338) @t342)))
% 0.36/0.69  (step @p285 :rule trans :premises (@p284 @p283))
% 0.36/0.69  (step @p286 :rule aci_norm :args ((= @t345 @t331)))
% 0.36/0.69  (step @p287 :rule cong :premises (@p286) :args (@t346))
% 0.36/0.69  (step @p288 :rule quant-merge-prenex :args ((= (forall @t36 @t347) @t346)))
% 0.36/0.69  (step @p289 :rule alpha_equiv :args (@t348 (@list @t311) @t350))
% 0.36/0.69  (step @p290 :rule alpha_equiv :args (@t351 (@list @t312) @t353))
% 0.36/0.69  (step @p291 :rule nary_cong :premises (@p49 @p290 @p289) :args (@t354))
% 0.36/0.69  (step @p292 :rule quant-miniscope-or :args ((= @t347 @t354)))
% 0.36/0.69  (step @p293 :rule trans :premises (@p292 @p291))
% 0.36/0.69  (step @p294 :rule symm :premises (@p293))
% 0.36/0.69  (step @p295 :rule cong :premises (@p294) :args ((forall @t36 @t361)))
% 0.36/0.69  (step @p296 :rule trans :premises (@p295 @p288))
% 0.36/0.69  (step @p297 :rule trans :premises (@p296 @p287))
% 0.36/0.69  (step @p298 :rule aci_norm :args ((= (or @t88 @t362) @t361)))
% 0.36/0.69  (step @p299 :rule beta-reduce :args ((= (_ (lambda @t90 (or (forall @t359 (or (not (tptp.irel @t30 @t352)) @t358)) (forall @t356 (or (not (tptp.irel @t30 @t349)) @t355)))) @t6) @t362)))
% 0.36/0.69  (step @p300 :rule alpha_equiv :args (@t363 @t81 @t350))
% 0.36/0.69  (step @p301 :rule alpha_equiv :args (@t364 @t81 @t353))
% 0.36/0.69  (step @p302 :rule nary_cong :premises (@p301 @p300) :args (@t365))
% 0.36/0.69  (step @p303 :rule cong :premises (@p302) :args (@t366))
% 0.36/0.69  (step @p304 :rule ho_cong :premises (@p303 @p212))
% 0.36/0.69  (step @p305 :rule trans :premises (@p304 @p299))
% 0.36/0.69  (step @p306 :rule nary_cong :premises (@p53 @p305) :args (@t367))
% 0.36/0.69  (step @p307 :rule trans :premises (@p306 @p298))
% 0.36/0.69  (step @p308 :rule cong :premises (@p307) :args (@t368))
% 0.36/0.69  (step @p309 :rule trans :premises (@p308 @p297))
% 0.36/0.69  (step @p310 :rule refl :args (@t336))
% 0.36/0.69  (step @p311 :rule nary_cong :premises (@p310 @p309) :args (@t369))
% 0.36/0.69  (step @p312 :rule cong :premises (@p311) :args (@t370))
% 0.36/0.69  (step @p313 :rule beta-reduce :args ((= (_ (lambda @t107 (or @t336 @t106)) @t366) @t370)))
% 0.36/0.69  (step @p314 :rule trans :premises (@p313 @p312))
% 0.36/0.69  (step @p315 :rule refl :args (@t334))
% 0.36/0.69  (step @p316 :rule refl :args (@t371))
% 0.36/0.69  (step @p317 :rule cong :premises (@p316 @p315) :args ((= @t371 @t334)))
% 0.36/0.69  (step @p318 :rule symm :premises (@p317))
% 0.36/0.69  (step @p319 :rule eq_resolve :premises (@p316 @p318))
% 0.36/0.69  (step @p320 :rule nary_cong :premises (@p319 @p48) :args (@t372))
% 0.36/0.69  (step @p321 :rule nary_cong :premises (@p49 @p320) :args (@t373))
% 0.36/0.69  (step @p322 :rule cong :premises (@p321) :args ((forall @t36 @t373)))
% 0.36/0.69  (step @p323 :rule beta-reduce :args ((= @t376 @t372)))
% 0.36/0.69  (step @p324 :rule nary_cong :premises (@p53 @p323) :args (@t377))
% 0.36/0.69  (step @p325 :rule cong :premises (@p324) :args (@t378))
% 0.36/0.69  (step @p326 :rule trans :premises (@p325 @p322))
% 0.36/0.69  (step @p327 :rule refl :args (@t364))
% 0.36/0.69  (step @p328 :rule nary_cong :premises (@p327 @p326) :args (@t379))
% 0.36/0.69  (step @p329 :rule cong :premises (@p328) :args (@t380))
% 0.36/0.69  (step @p330 :rule beta-reduce :args ((= (_ (lambda @t107 (or @t364 @t106)) @t375) @t380)))
% 0.36/0.69  (step @p331 :rule trans :premises (@p330 @p329))
% 0.36/0.69  (step @p332 :rule beta-reduce :args ((= @t381 @t98)))
% 0.36/0.69  (step @p333 :rule refl :args (@t374))
% 0.36/0.69  (step @p334 :rule nary_cong :premises (@p333 @p332) :args (@t382))
% 0.36/0.69  (step @p335 :rule cong :premises (@p334) :args (@t383))
% 0.36/0.69  (step @p336 :rule beta-reduce :args ((= (_ (lambda @t107 (and @t374 @t384)) @t99) @t383)))
% 0.36/0.69  (step @p337 :rule trans :premises (@p336 @p335))
% 0.36/0.69  (step @p338 :rule refl :args (@t384))
% 0.36/0.69  (step @p339 :rule beta-reduce :args ((= @t386 @t374)))
% 0.36/0.69  (step @p340 :rule nary_cong :premises (@p339 @p338) :args (@t387))
% 0.36/0.69  (step @p341 :rule cong :premises (@p340) :args (@t388))
% 0.36/0.69  (step @p342 :rule beta-reduce :args ((= (_ @t390 @t385) @t388)))
% 0.36/0.69  (step @p343 :rule trans :premises (@p342 @p341))
% 0.36/0.69  (step @p344 :rule beta-reduce :args ((= @t391 @t385)))
% 0.36/0.69  (step @p345 :rule refl :args (@t390))
% 0.36/0.69  (step @p346 :rule ho_cong :premises (@p345 @p344))
% 0.36/0.69  (step @p347 :rule trans :premises (@p346 @p343))
% 0.36/0.69  (step @p348 :rule ho_cong :premises (@p347 @p62))
% 0.36/0.69  (step @p349 :rule trans :premises (@p348 @p337))
% 0.36/0.69  (step @p350 :rule refl :args (@t335))
% 0.36/0.69  (step @p351 :rule refl :args (@t392))
% 0.36/0.69  (step @p352 :rule cong :premises (@p351 @p350) :args ((= @t392 @t335)))
% 0.36/0.69  (step @p353 :rule symm :premises (@p352))
% 0.36/0.69  (step @p354 :rule eq_resolve :premises (@p351 @p353))
% 0.36/0.69  (step @p355 :rule nary_cong :premises (@p354 @p48) :args (@t393))
% 0.36/0.69  (step @p356 :rule nary_cong :premises (@p49 @p355) :args (@t394))
% 0.36/0.69  (step @p357 :rule cong :premises (@p356) :args ((forall @t36 @t394)))
% 0.36/0.69  (step @p358 :rule beta-reduce :args ((= @t397 @t393)))
% 0.36/0.69  (step @p359 :rule nary_cong :premises (@p53 @p358) :args (@t398))
% 0.36/0.69  (step @p360 :rule cong :premises (@p359) :args (@t399))
% 0.36/0.69  (step @p361 :rule trans :premises (@p360 @p357))
% 0.36/0.69  (step @p362 :rule nary_cong :premises (@p361 @p63) :args (@t400))
% 0.36/0.69  (step @p363 :rule cong :premises (@p362) :args (@t401))
% 0.36/0.69  (step @p364 :rule beta-reduce :args ((= (_ @t120 @t396) @t401)))
% 0.36/0.69  (step @p365 :rule trans :premises (@p364 @p363))
% 0.36/0.69  (step @p366 :rule refl :args (@t395))
% 0.36/0.69  (step @p367 :rule nary_cong :premises (@p366 @p332) :args (@t402))
% 0.36/0.69  (step @p368 :rule cong :premises (@p367) :args (@t403))
% 0.36/0.69  (step @p369 :rule beta-reduce :args ((= (_ @t404 @t99) @t403)))
% 0.36/0.69  (step @p370 :rule trans :premises (@p369 @p368))
% 0.36/0.69  (step @p371 :rule beta-reduce :args ((= @t406 @t395)))
% 0.36/0.69  (step @p372 :rule nary_cong :premises (@p371 @p338) :args (@t407))
% 0.36/0.69  (step @p373 :rule cong :premises (@p372) :args (@t408))
% 0.36/0.69  (step @p374 :rule beta-reduce :args ((= (_ @t390 @t405) @t408)))
% 0.36/0.69  (step @p375 :rule trans :premises (@p374 @p373))
% 0.36/0.69  (step @p376 :rule beta-reduce :args ((= @t409 @t405)))
% 0.36/0.69  (step @p377 :rule ho_cong :premises (@p345 @p376))
% 0.36/0.69  (step @p378 :rule trans :premises (@p377 @p375))
% 0.36/0.69  (step @p379 :rule ho_cong :premises (@p378 @p62))
% 0.36/0.69  (step @p380 :rule trans :premises (@p379 @p370))
% 0.36/0.69  (step @p381 :rule ho_cong :premises (@p80 @p380))
% 0.36/0.69  (step @p382 :rule trans :premises (@p381 @p365))
% 0.36/0.69  (step @p383 :rule ho_cong :premises (@p382 @p349))
% 0.36/0.69  (step @p384 :rule trans :premises (@p383 @p331))
% 0.36/0.69  (step @p385 :rule nary_cong :premises (@p354 @p319) :args (@t410))
% 0.36/0.69  (step @p386 :rule nary_cong :premises (@p49 @p385) :args (@t411))
% 0.36/0.69  (step @p387 :rule cong :premises (@p386) :args ((forall @t36 @t411)))
% 0.36/0.69  (step @p388 :rule beta-reduce :args ((= @t413 @t410)))
% 0.36/0.69  (step @p389 :rule nary_cong :premises (@p53 @p388) :args (@t414))
% 0.36/0.69  (step @p390 :rule cong :premises (@p389) :args (@t415))
% 0.36/0.69  (step @p391 :rule trans :premises (@p390 @p387))
% 0.36/0.69  (step @p392 :rule nary_cong :premises (@p391 @p63) :args (@t416))
% 0.36/0.69  (step @p393 :rule cong :premises (@p392) :args (@t417))
% 0.36/0.69  (step @p394 :rule beta-reduce :args ((= (_ @t120 @t412) @t417)))
% 0.36/0.69  (step @p395 :rule trans :premises (@p394 @p393))
% 0.36/0.69  (step @p396 :rule nary_cong :premises (@p366 @p339) :args (@t418))
% 0.36/0.69  (step @p397 :rule cong :premises (@p396) :args (@t419))
% 0.36/0.69  (step @p398 :rule beta-reduce :args ((= (_ @t404 @t385) @t419)))
% 0.36/0.69  (step @p399 :rule trans :premises (@p398 @p397))
% 0.36/0.69  (step @p400 :rule ho_cong :premises (@p378 @p344))
% 0.36/0.69  (step @p401 :rule trans :premises (@p400 @p399))
% 0.36/0.69  (step @p402 :rule ho_cong :premises (@p80 @p401))
% 0.36/0.69  (step @p403 :rule trans :premises (@p402 @p395))
% 0.36/0.69  (step @p404 :rule ho_cong :premises (@p403 @p384))
% 0.36/0.69  (step @p405 :rule trans :premises (@p404 @p314))
% 0.36/0.69  (step @p406 :rule refl :args (@t209))
% 0.36/0.69  (step @p407 :rule refl :args (@t420))
% 0.36/0.69  (step @p408 :rule cong :premises (@p407 @p406) :args ((= @t420 @t209)))
% 0.36/0.69  (step @p409 :rule symm :premises (@p408))
% 0.36/0.69  (step @p410 :rule eq_resolve :premises (@p407 @p409))
% 0.36/0.69  (step @p411 :rule nary_cong :premises (@p410 @p68) :args (@t421))
% 0.36/0.69  (step @p412 :rule nary_cong :premises (@p49 @p411) :args (@t422))
% 0.36/0.69  (step @p413 :rule cong :premises (@p412) :args ((forall @t36 @t422)))
% 0.36/0.69  (step @p414 :rule beta-reduce :args ((= @t425 @t421)))
% 0.36/0.69  (step @p415 :rule nary_cong :premises (@p53 @p414) :args (@t426))
% 0.36/0.69  (step @p416 :rule cong :premises (@p415) :args (@t427))
% 0.36/0.69  (step @p417 :rule trans :premises (@p416 @p413))
% 0.36/0.69  (step @p418 :rule nary_cong :premises (@p417 @p63) :args (@t428))
% 0.36/0.69  (step @p419 :rule cong :premises (@p418) :args (@t429))
% 0.36/0.69  (step @p420 :rule beta-reduce :args ((= (_ @t120 @t424) @t429)))
% 0.36/0.69  (step @p421 :rule trans :premises (@p420 @p419))
% 0.36/0.69  (step @p422 :rule beta-reduce :args ((= @t430 @t111)))
% 0.36/0.69  (step @p423 :rule refl :args (@t423))
% 0.36/0.69  (step @p424 :rule nary_cong :premises (@p423 @p422) :args (@t431))
% 0.36/0.69  (step @p425 :rule cong :premises (@p424) :args (@t432))
% 0.36/0.69  (step @p426 :rule beta-reduce :args ((= (_ (lambda @t107 (and @t423 @t384)) @t112) @t432)))
% 0.36/0.69  (step @p427 :rule trans :premises (@p426 @p425))
% 0.36/0.69  (step @p428 :rule beta-reduce :args ((= @t434 @t423)))
% 0.36/0.69  (step @p429 :rule nary_cong :premises (@p428 @p338) :args (@t435))
% 0.36/0.69  (step @p430 :rule cong :premises (@p429) :args (@t436))
% 0.36/0.69  (step @p431 :rule beta-reduce :args ((= (_ @t390 @t433) @t436)))
% 0.36/0.69  (step @p432 :rule trans :premises (@p431 @p430))
% 0.36/0.69  (step @p433 :rule beta-reduce :args ((= @t437 @t433)))
% 0.36/0.69  (step @p434 :rule ho_cong :premises (@p345 @p433))
% 0.36/0.69  (step @p435 :rule trans :premises (@p434 @p432))
% 0.36/0.69  (step @p436 :rule ho_cong :premises (@p435 @p79))
% 0.36/0.69  (step @p437 :rule trans :premises (@p436 @p427))
% 0.36/0.69  (step @p438 :rule ho_cong :premises (@p80 @p437))
% 0.36/0.69  (step @p439 :rule trans :premises (@p438 @p421))
% 0.36/0.69  (step @p440 :rule ho_cong :premises (@p439 @p405))
% 0.36/0.69  (step @p441 :rule trans :premises (@p440 @p285))
% 0.36/0.69  (step @p442 :rule refl :args (@t210))
% 0.36/0.69  (step @p443 :rule refl :args (@t438))
% 0.36/0.69  (step @p444 :rule cong :premises (@p443 @p442) :args ((= @t438 @t210)))
% 0.36/0.69  (step @p445 :rule symm :premises (@p444))
% 0.36/0.69  (step @p446 :rule eq_resolve :premises (@p443 @p445))
% 0.36/0.69  (step @p447 :rule nary_cong :premises (@p446 @p68) :args (@t439))
% 0.36/0.69  (step @p448 :rule nary_cong :premises (@p49 @p447) :args (@t440))
% 0.36/0.69  (step @p449 :rule cong :premises (@p448) :args ((forall @t36 @t440)))
% 0.36/0.69  (step @p450 :rule beta-reduce :args ((= @t443 @t439)))
% 0.36/0.69  (step @p451 :rule nary_cong :premises (@p53 @p450) :args (@t444))
% 0.36/0.69  (step @p452 :rule cong :premises (@p451) :args (@t445))
% 0.36/0.69  (step @p453 :rule trans :premises (@p452 @p449))
% 0.36/0.69  (step @p454 :rule nary_cong :premises (@p453 @p63) :args (@t446))
% 0.36/0.69  (step @p455 :rule cong :premises (@p454) :args (@t447))
% 0.36/0.69  (step @p456 :rule beta-reduce :args ((= (_ @t120 @t442) @t447)))
% 0.36/0.69  (step @p457 :rule trans :premises (@p456 @p455))
% 0.36/0.69  (step @p458 :rule refl :args (@t441))
% 0.36/0.69  (step @p459 :rule nary_cong :premises (@p458 @p422) :args (@t448))
% 0.36/0.69  (step @p460 :rule cong :premises (@p459) :args (@t449))
% 0.36/0.69  (step @p461 :rule beta-reduce :args ((= (_ @t450 @t112) @t449)))
% 0.36/0.69  (step @p462 :rule trans :premises (@p461 @p460))
% 0.36/0.69  (step @p463 :rule beta-reduce :args ((= @t452 @t441)))
% 0.36/0.69  (step @p464 :rule nary_cong :premises (@p463 @p338) :args (@t453))
% 0.36/0.69  (step @p465 :rule cong :premises (@p464) :args (@t454))
% 0.36/0.69  (step @p466 :rule beta-reduce :args ((= (_ @t390 @t451) @t454)))
% 0.36/0.69  (step @p467 :rule trans :premises (@p466 @p465))
% 0.36/0.69  (step @p468 :rule beta-reduce :args ((= @t455 @t451)))
% 0.36/0.69  (step @p469 :rule ho_cong :premises (@p345 @p468))
% 0.36/0.69  (step @p470 :rule trans :premises (@p469 @p467))
% 0.36/0.69  (step @p471 :rule ho_cong :premises (@p470 @p79))
% 0.36/0.69  (step @p472 :rule trans :premises (@p471 @p462))
% 0.36/0.69  (step @p473 :rule ho_cong :premises (@p80 @p472))
% 0.36/0.69  (step @p474 :rule trans :premises (@p473 @p457))
% 0.36/0.69  (step @p475 :rule ho_cong :premises (@p474 @p441))
% 0.36/0.69  (step @p476 :rule trans :premises (@p475 @p256))
% 0.36/0.69  (step @p477 :rule nary_cong :premises (@p446 @p410) :args (@t456))
% 0.36/0.69  (step @p478 :rule nary_cong :premises (@p49 @p477) :args (@t457))
% 0.36/0.69  (step @p479 :rule cong :premises (@p478) :args ((forall @t36 @t457)))
% 0.36/0.69  (step @p480 :rule beta-reduce :args ((= @t459 @t456)))
% 0.36/0.69  (step @p481 :rule nary_cong :premises (@p53 @p480) :args (@t460))
% 0.36/0.69  (step @p482 :rule cong :premises (@p481) :args (@t461))
% 0.36/0.69  (step @p483 :rule trans :premises (@p482 @p479))
% 0.36/0.69  (step @p484 :rule nary_cong :premises (@p483 @p63) :args (@t462))
% 0.36/0.69  (step @p485 :rule cong :premises (@p484) :args (@t463))
% 0.36/0.70  (step @p486 :rule beta-reduce :args ((= (_ @t120 @t458) @t463)))
% 0.36/0.70  (step @p487 :rule trans :premises (@p486 @p485))
% 0.36/0.70  (step @p488 :rule nary_cong :premises (@p458 @p428) :args (@t464))
% 0.36/0.70  (step @p489 :rule cong :premises (@p488) :args (@t465))
% 0.36/0.70  (step @p490 :rule beta-reduce :args ((= (_ @t450 @t433) @t465)))
% 0.36/0.70  (step @p491 :rule trans :premises (@p490 @p489))
% 0.36/0.70  (step @p492 :rule ho_cong :premises (@p470 @p433))
% 0.36/0.70  (step @p493 :rule trans :premises (@p492 @p491))
% 0.36/0.70  (step @p494 :rule ho_cong :premises (@p80 @p493))
% 0.36/0.70  (step @p495 :rule trans :premises (@p494 @p487))
% 0.36/0.70  (step @p496 :rule ho_cong :premises (@p495 @p476))
% 0.36/0.70  (step @p497 :rule trans :premises (@p496 @p227))
% 0.36/0.70  (step @p498 :rule ho_cong :premises (@p85 @p497))
% 0.36/0.70  (step @p499 :rule trans :premises (@p498 @p197))
% 0.36/0.70  (step @p500 :rule cong :premises (@p499) :args ((not (_ @t95 (_ (_ @t120 (_ @t467 @t437)) (_ (_ @t120 (_ @t467 @t121)) (_ (_ @t120 (_ (_ @t390 @t437) @t121)) (_ (_ @t120 (_ @t466 @t391)) (_ (_ @t120 (_ @t466 @t108)) (_ (_ @t390 @t391) @t108))))))))))
% 0.36/0.70  (step @p501 :rule refl :args (tptp.o22))
% 0.36/0.70  (step @p502 :rule ho_cong :premises (@p14 @p501))
% 0.36/0.70  (step @p503 :rule beta-reduce :args ((= (_ @t469 @t30) @t389)))
% 0.36/0.70  (step @p504 :rule beta-reduce :args ((= (_ @t470 @t48) @t469)))
% 0.36/0.70  (step @p505 :rule beta-reduce :args ((= (_ @t29 @t34) @t470)))
% 0.36/0.70  (step @p506 :rule ho_cong :premises (@p505 @p115))
% 0.36/0.70  (step @p507 :rule trans :premises (@p506 @p504))
% 0.36/0.70  (step @p508 :rule ho_cong :premises (@p507 @p93))
% 0.36/0.70  (step @p509 :rule trans :premises (@p508 @p503))
% 0.36/0.70  (step @p510 :rule ho_cong :premises (@p11 @p135))
% 0.36/0.70  (step @p511 :rule ho_cong :premises (@p510 @p115))
% 0.36/0.70  (step @p512 :rule ho_cong :premises (@p511 @p93))
% 0.36/0.70  (step @p513 :rule trans :premises (@p512 @p509))
% 0.36/0.70  (step @p514 :rule cong :premises (@p513) :args (@t50))
% 0.36/0.70  (step @p515 :rule trans :premises (@p17 @p514))
% 0.36/0.70  (step @p516 :rule ho_cong :premises (@p515 @p502))
% 0.36/0.70  (step @p517 :rule ho_cong :premises (@p516 @p89))
% 0.36/0.70  (step @p518 :rule refl :args (tptp.o12))
% 0.36/0.70  (step @p519 :rule ho_cong :premises (@p14 @p518))
% 0.36/0.70  (step @p520 :rule ho_cong :premises (@p515 @p519))
% 0.36/0.70  (step @p521 :rule ho_cong :premises (@p520 @p89))
% 0.36/0.70  (step @p522 :rule ho_cong :premises (@p142 @p521))
% 0.36/0.70  (step @p523 :rule ho_cong :premises (@p522 @p517))
% 0.36/0.70  (step @p524 :rule ho_cong :premises (@p520 @p502))
% 0.36/0.70  (step @p525 :rule ho_cong :premises (@p142 @p524))
% 0.36/0.70  (step @p526 :rule ho_cong :premises (@p525 @p523))
% 0.36/0.70  (step @p527 :rule refl :args (tptp.o21))
% 0.36/0.70  (step @p528 :rule ho_cong :premises (@p14 @p527))
% 0.36/0.70  (step @p529 :rule ho_cong :premises (@p515 @p528))
% 0.36/0.70  (step @p530 :rule ho_cong :premises (@p529 @p91))
% 0.36/0.70  (step @p531 :rule ho_cong :premises (@p142 @p530))
% 0.36/0.70  (step @p532 :rule ho_cong :premises (@p531 @p526))
% 0.36/0.70  (step @p533 :rule refl :args (tptp.o11))
% 0.36/0.70  (step @p534 :rule ho_cong :premises (@p14 @p533))
% 0.36/0.70  (step @p535 :rule ho_cong :premises (@p515 @p534))
% 0.36/0.70  (step @p536 :rule ho_cong :premises (@p535 @p91))
% 0.36/0.70  (step @p537 :rule ho_cong :premises (@p142 @p536))
% 0.36/0.70  (step @p538 :rule ho_cong :premises (@p537 @p532))
% 0.36/0.70  (step @p539 :rule ho_cong :premises (@p535 @p528))
% 0.36/0.70  (step @p540 :rule ho_cong :premises (@p142 @p539))
% 0.36/0.70  (step @p541 :rule ho_cong :premises (@p540 @p538))
% 0.36/0.70  (step @p542 :rule ho_cong :premises (@p152 @p541))
% 0.36/0.70  (step @p543 :rule cong :premises (@p542) :args (@t20))
% 0.36/0.70  (step @p544 :rule trans :premises (@p543 @p500))
% 0.36/0.70  (step @p545 :rule eq_resolve :premises (@p7 @p544))
% 0.36/0.70  (step @p546 :rule skolemize :premises (@p545))
% 0.36/0.70  (step @p547 :rule bool-double-not-elim :args (@t471))
% 0.36/0.70  (step @p548 :rule refl :args (@t515))
% 0.36/0.70  (step @p549 :rule nary_cong :premises (@p548 @p547) :args ((or @t515 (not @t483))))
% 0.36/0.70  (step @p550 :rule cnf_or_neg :args (@t515 11))
% 0.36/0.70  (step @p551 :rule eq_resolve :premises (@p550 @p549))
% 0.36/0.70  (step @p552 :rule reordering :premises (@p551) :args ((or @t471 @t515)))
% 0.36/0.70  (step @p553 :rule chain_m_resolution :premises (@p552 @p546) :args (@t471 @t516 @t517))
% 0.36/0.70  (step @p554 :rule bool-double-not-elim :args (@t490))
% 0.36/0.70  (step @p555 :rule nary_cong :premises (@p548 @p554) :args ((or @t515 (not @t491))))
% 0.36/0.70  (step @p556 :rule cnf_or_neg :args (@t515 8))
% 0.36/0.70  (step @p557 :rule eq_resolve :premises (@p556 @p555))
% 0.36/0.70  (step @p558 :rule reordering :premises (@p557) :args ((or @t490 @t515)))
% 0.36/0.70  (step @p559 :rule chain_m_resolution :premises (@p558 @p546) :args (@t490 @t516 @t517))
% 0.36/0.70  (step @p560 :rule cnf_or_pos :args (@t519))
% 0.36/0.70  (step @p561 :rule reordering :premises (@p560) :args ((or @t491 @t483 @t518 (not @t519))))
% 0.36/0.70  (step @p562 :rule chain_m_resolution :premises (@p561 @p559 @p553 @p180) :args (@t518 @t520 (@list @t490 @t471 @t519)))
% 0.36/0.70  (step @p563 :rule instantiate :premises (@p177) :args ((@list @t176 @t498 @t177)))
% 0.36/0.70  (step @p564 :rule bool-double-not-elim :args (@t499))
% 0.36/0.70  (step @p565 :rule nary_cong :premises (@p548 @p564) :args ((or @t515 (not @t500))))
% 0.36/0.70  (step @p566 :rule cnf_or_neg :args (@t515 5))
% 0.36/0.70  (step @p567 :rule eq_resolve :premises (@p566 @p565))
% 0.36/0.70  (step @p568 :rule reordering :premises (@p567) :args ((or @t499 @t515)))
% 0.36/0.70  (step @p569 :rule chain_m_resolution :premises (@p568 @p546) :args (@t499 @t516 @t517))
% 0.36/0.70  (step @p570 :rule bool-double-not-elim :args (@t507))
% 0.36/0.70  (step @p571 :rule nary_cong :premises (@p548 @p570) :args ((or @t515 (not @t508))))
% 0.36/0.70  (step @p572 :rule cnf_or_neg :args (@t515 2))
% 0.36/0.70  (step @p573 :rule eq_resolve :premises (@p572 @p571))
% 0.36/0.70  (step @p574 :rule reordering :premises (@p573) :args ((or @t507 @t515)))
% 0.36/0.70  (step @p575 :rule chain_m_resolution :premises (@p574 @p546) :args (@t507 @t516 @t517))
% 0.36/0.70  (step @p576 :rule cnf_or_pos :args (@t522))
% 0.36/0.70  (step @p577 :rule reordering :premises (@p576) :args ((or @t508 @t500 @t521 (not @t522))))
% 0.36/0.70  (step @p578 :rule chain_m_resolution :premises (@p577 @p575 @p569 @p563) :args (@t521 @t520 (@list @t507 @t499 @t522)))
% 0.36/0.70  (step @p579 :rule cnf_or_pos :args (@t526))
% 0.36/0.70  (step @p580 :rule reordering :premises (@p579) :args ((or @t525 @t524 @t523 (not @t526))))
% 0.36/0.70  (step @p581 :rule chain_m_resolution :premises (@p580 @p578 @p562 @p179) :args (@t523 @t520 (@list @t521 @t518 @t526)))
% 0.36/0.70  (step @p582 :rule bool-double-not-elim :args (@t475))
% 0.36/0.70  (step @p583 :rule nary_cong :premises (@p548 @p582) :args ((or @t515 (not @t476))))
% 0.36/0.70  (step @p584 :rule cnf_or_neg :args (@t515 14))
% 0.36/0.70  (step @p585 :rule eq_resolve :premises (@p584 @p583))
% 0.36/0.70  (step @p586 :rule reordering :premises (@p585) :args ((or @t475 @t515)))
% 0.36/0.70  (step @p587 :rule chain_m_resolution :premises (@p586 @p546) :args (@t475 @t516 @t517))
% 0.36/0.70  (step @p588 :rule cnf_or_pos :args (@t529))
% 0.36/0.70  (step @p589 :rule reordering :premises (@p588) :args ((or @t476 @t527 @t528 (not @t529))))
% 0.36/0.70  (step @p590 :rule chain_m_resolution :premises (@p589 @p587 @p581 @p178) :args (@t527 @t520 (@list @t475 @t523 @t529)))
% 0.36/0.70  (step @p591 :rule instantiate :premises (@p177) :args ((@list @t176 @t498 @t501)))
% 0.36/0.70  (step @p592 :rule bool-double-not-elim :args (@t505))
% 0.36/0.70  (step @p593 :rule nary_cong :premises (@p548 @p592) :args ((or @t515 (not @t506))))
% 0.36/0.70  (step @p594 :rule cnf_or_neg :args (@t515 3))
% 0.36/0.70  (step @p595 :rule eq_resolve :premises (@p594 @p593))
% 0.36/0.70  (step @p596 :rule reordering :premises (@p595) :args ((or @t505 @t515)))
% 0.36/0.70  (step @p597 :rule chain_m_resolution :premises (@p596 @p546) :args (@t505 @t516 @t517))
% 0.36/0.70  (step @p598 :rule cnf_or_pos :args (@t531))
% 0.36/0.70  (step @p599 :rule reordering :premises (@p598) :args ((or @t508 @t506 @t530 (not @t531))))
% 0.36/0.70  (step @p600 :rule chain_m_resolution :premises (@p599 @p575 @p597 @p591) :args (@t530 @t520 (@list @t507 @t505 @t531)))
% 0.36/0.70  (step @p601 :rule aci_norm :args ((= @t540 (or @t537 @t536 @t534 @t533))))
% 0.36/0.70  (step @p602 :rule cong :premises (@p601) :args (@t541))
% 0.36/0.70  (step @p603 :rule quant-merge-prenex :args ((= (forall @t46 @t542) @t541)))
% 0.36/0.70  (step @p604 :rule alpha_equiv :args (@t543 (@list @t532) @t81))
% 0.36/0.70  (step @p605 :rule alpha_equiv :args (@t544 (@list @t535) @t81))
% 0.36/0.70  (step @p606 :rule nary_cong :premises (@p605 @p604) :args (@t545))
% 0.36/0.70  (step @p607 :rule quant-miniscope-or :args ((= @t542 @t545)))
% 0.36/0.70  (step @p608 :rule trans :premises (@p607 @p606))
% 0.36/0.70  (step @p609 :rule symm :premises (@p608))
% 0.36/0.70  (step @p610 :rule cong :premises (@p609) :args ((forall @t46 @t546)))
% 0.36/0.70  (step @p611 :rule trans :premises (@p610 @p603))
% 0.36/0.70  (step @p612 :rule trans :premises (@p611 @p602))
% 0.36/0.70  (step @p613 :rule beta-reduce :args ((= @t549 @t546)))
% 0.36/0.70  (step @p614 :rule cong :premises (@p613) :args (@t550))
% 0.36/0.70  (step @p615 :rule trans :premises (@p614 @p612))
% 0.36/0.70  (step @p616 :rule beta-reduce :args ((= (_ @t95 @t548) @t550)))
% 0.36/0.70  (step @p617 :rule trans :premises (@p616 @p615))
% 0.36/0.70  (step @p618 :rule nary_cong :premises (@p49 @p319) :args (@t551))
% 0.36/0.70  (step @p619 :rule cong :premises (@p618) :args ((forall @t36 @t551)))
% 0.36/0.70  (step @p620 :rule beta-reduce :args ((= @t552 @t371)))
% 0.36/0.70  (step @p621 :rule nary_cong :premises (@p53 @p620) :args (@t553))
% 0.36/0.70  (step @p622 :rule cong :premises (@p621) :args (@t554))
% 0.36/0.70  (step @p623 :rule trans :premises (@p622 @p619))
% 0.36/0.70  (step @p624 :rule refl :args (@t547))
% 0.36/0.70  (step @p625 :rule nary_cong :premises (@p624 @p623) :args (@t555))
% 0.36/0.70  (step @p626 :rule cong :premises (@p625) :args (@t556))
% 0.36/0.70  (step @p627 :rule beta-reduce :args ((= (_ (lambda @t107 (or @t547 @t106)) @t385) @t556)))
% 0.36/0.70  (step @p628 :rule trans :premises (@p627 @p626))
% 0.36/0.70  (step @p629 :rule nary_cong :premises (@p49 @p410) :args (@t557))
% 0.36/0.70  (step @p630 :rule cong :premises (@p629) :args ((forall @t36 @t557)))
% 0.36/0.70  (step @p631 :rule beta-reduce :args ((= @t558 @t420)))
% 0.36/0.70  (step @p632 :rule nary_cong :premises (@p53 @p631) :args (@t559))
% 0.36/0.70  (step @p633 :rule cong :premises (@p632) :args (@t560))
% 0.36/0.70  (step @p634 :rule trans :premises (@p633 @p630))
% 0.36/0.70  (step @p635 :rule nary_cong :premises (@p634 @p63) :args (@t561))
% 0.36/0.70  (step @p636 :rule cong :premises (@p635) :args (@t562))
% 0.36/0.70  (step @p637 :rule beta-reduce :args ((= (_ @t120 @t433) @t562)))
% 0.36/0.70  (step @p638 :rule trans :premises (@p637 @p636))
% 0.36/0.70  (step @p639 :rule ho_cong :premises (@p80 @p433))
% 0.36/0.70  (step @p640 :rule trans :premises (@p639 @p638))
% 0.36/0.70  (step @p641 :rule ho_cong :premises (@p640 @p344))
% 0.36/0.70  (step @p642 :rule trans :premises (@p641 @p628))
% 0.36/0.70  (step @p643 :rule ho_cong :premises (@p85 @p642))
% 0.36/0.70  (step @p644 :rule trans :premises (@p643 @p617))
% 0.36/0.70  (step @p645 :rule ho_cong :premises (@p142 @p528))
% 0.36/0.70  (step @p646 :rule ho_cong :premises (@p645 @p502))
% 0.36/0.70  (step @p647 :rule ho_cong :premises (@p152 @p646))
% 0.36/0.70  (step @p648 :rule trans :premises (@p647 @p644))
% 0.36/0.70  (step @p649 :rule eq_resolve :premises (@p5 @p648))
% 0.36/0.70  (step @p650 :rule instantiate :premises (@p649) :args ((@list @t176 @t509 @t174)))
% 0.36/0.70  (step @p651 :rule aci_norm :args ((= @t571 (or @t568 @t567 @t565 @t564))))
% 0.36/0.70  (step @p652 :rule cong :premises (@p651) :args (@t572))
% 0.36/0.70  (step @p653 :rule quant-merge-prenex :args ((= (forall @t46 @t573) @t572)))
% 0.36/0.70  (step @p654 :rule alpha_equiv :args (@t574 (@list @t563) @t81))
% 0.36/0.70  (step @p655 :rule alpha_equiv :args (@t575 (@list @t566) @t81))
% 0.36/0.70  (step @p656 :rule nary_cong :premises (@p655 @p654) :args (@t576))
% 0.36/0.70  (step @p657 :rule quant-miniscope-or :args ((= @t573 @t576)))
% 0.36/0.70  (step @p658 :rule trans :premises (@p657 @p656))
% 0.36/0.70  (step @p659 :rule symm :premises (@p658))
% 0.36/0.70  (step @p660 :rule cong :premises (@p659) :args ((forall @t46 @t577)))
% 0.36/0.70  (step @p661 :rule trans :premises (@p660 @p653))
% 0.36/0.70  (step @p662 :rule trans :premises (@p661 @p652))
% 0.36/0.70  (step @p663 :rule beta-reduce :args ((= @t580 @t577)))
% 0.36/0.70  (step @p664 :rule cong :premises (@p663) :args (@t581))
% 0.36/0.70  (step @p665 :rule trans :premises (@p664 @p662))
% 0.36/0.70  (step @p666 :rule beta-reduce :args ((= (_ @t95 @t579) @t581)))
% 0.36/0.70  (step @p667 :rule trans :premises (@p666 @p665))
% 0.36/0.70  (step @p668 :rule nary_cong :premises (@p49 @p354) :args (@t582))
% 0.36/0.70  (step @p669 :rule cong :premises (@p668) :args ((forall @t36 @t582)))
% 0.36/0.70  (step @p670 :rule beta-reduce :args ((= @t583 @t392)))
% 0.36/0.70  (step @p671 :rule nary_cong :premises (@p53 @p670) :args (@t584))
% 0.36/0.70  (step @p672 :rule cong :premises (@p671) :args (@t585))
% 0.36/0.70  (step @p673 :rule trans :premises (@p672 @p669))
% 0.36/0.70  (step @p674 :rule refl :args (@t578))
% 0.36/0.70  (step @p675 :rule nary_cong :premises (@p674 @p673) :args (@t586))
% 0.36/0.70  (step @p676 :rule cong :premises (@p675) :args (@t587))
% 0.36/0.70  (step @p677 :rule beta-reduce :args ((= (_ (lambda @t107 (or @t578 @t106)) @t405) @t587)))
% 0.36/0.70  (step @p678 :rule trans :premises (@p677 @p676))
% 0.36/0.70  (step @p679 :rule nary_cong :premises (@p49 @p446) :args (@t588))
% 0.36/0.70  (step @p680 :rule cong :premises (@p679) :args ((forall @t36 @t588)))
% 0.36/0.70  (step @p681 :rule beta-reduce :args ((= @t589 @t438)))
% 0.36/0.70  (step @p682 :rule nary_cong :premises (@p53 @p681) :args (@t590))
% 0.36/0.70  (step @p683 :rule cong :premises (@p682) :args (@t591))
% 0.36/0.70  (step @p684 :rule trans :premises (@p683 @p680))
% 0.36/0.70  (step @p685 :rule nary_cong :premises (@p684 @p63) :args (@t592))
% 0.36/0.70  (step @p686 :rule cong :premises (@p685) :args (@t593))
% 0.36/0.70  (step @p687 :rule beta-reduce :args ((= (_ @t120 @t451) @t593)))
% 0.36/0.70  (step @p688 :rule trans :premises (@p687 @p686))
% 0.36/0.70  (step @p689 :rule ho_cong :premises (@p80 @p468))
% 0.36/0.70  (step @p690 :rule trans :premises (@p689 @p688))
% 0.36/0.70  (step @p691 :rule ho_cong :premises (@p690 @p376))
% 0.36/0.70  (step @p692 :rule trans :premises (@p691 @p678))
% 0.36/0.70  (step @p693 :rule ho_cong :premises (@p85 @p692))
% 0.36/0.70  (step @p694 :rule trans :premises (@p693 @p667))
% 0.36/0.70  (step @p695 :rule ho_cong :premises (@p142 @p534))
% 0.36/0.70  (step @p696 :rule ho_cong :premises (@p695 @p519))
% 0.36/0.70  (step @p697 :rule ho_cong :premises (@p152 @p696))
% 0.36/0.70  (step @p698 :rule trans :premises (@p697 @p694))
% 0.36/0.70  (step @p699 :rule eq_resolve :premises (@p4 @p698))
% 0.36/0.70  (step @p700 :rule instantiate :premises (@p699) :args ((@list @t176 @t509 @t477)))
% 0.36/0.70  (step @p701 :rule instantiate :premises (@p177) :args ((@list @t176 @t177 @t477)))
% 0.36/0.70  (step @p702 :rule instantiate :premises (@p177) :args ((@list @t177 @t178 @t477)))
% 0.36/0.70  (step @p703 :rule instantiate :premises (@p177) :args ((@list @t178 @t175 @t477)))
% 0.36/0.70  (step @p704 :rule bool-double-not-elim :args (@t481))
% 0.36/0.70  (step @p705 :rule nary_cong :premises (@p548 @p704) :args ((or @t515 (not @t482))))
% 0.36/0.70  (step @p706 :rule cnf_or_neg :args (@t515 12))
% 0.36/0.70  (step @p707 :rule eq_resolve :premises (@p706 @p705))
% 0.36/0.70  (step @p708 :rule reordering :premises (@p707) :args ((or @t481 @t515)))
% 0.36/0.70  (step @p709 :rule chain_m_resolution :premises (@p708 @p546) :args (@t481 @t516 @t517))
% 0.36/0.70  (step @p710 :rule cnf_or_pos :args (@t595))
% 0.36/0.70  (step @p711 :rule reordering :premises (@p710) :args ((or @t483 @t482 @t594 (not @t595))))
% 0.36/0.70  (step @p712 :rule chain_m_resolution :premises (@p711 @p553 @p709 @p703) :args (@t594 @t520 (@list @t471 @t481 @t595)))
% 0.36/0.70  (step @p713 :rule cnf_or_pos :args (@t598))
% 0.36/0.70  (step @p714 :rule reordering :premises (@p713) :args ((or @t491 @t597 @t596 (not @t598))))
% 0.36/0.70  (step @p715 :rule chain_m_resolution :premises (@p714 @p559 @p712 @p702) :args (@t596 @t520 (@list @t490 @t594 @t598)))
% 0.36/0.70  (step @p716 :rule cnf_or_pos :args (@t601))
% 0.36/0.70  (step @p717 :rule reordering :premises (@p716) :args ((or @t525 @t600 @t599 (not @t601))))
% 0.36/0.70  (step @p718 :rule chain_m_resolution :premises (@p717 @p578 @p715 @p701) :args (@t599 @t520 (@list @t521 @t596 @t601)))
% 0.36/0.70  (step @p719 :rule instantiate :premises (@p177) :args ((@list @t176 @t498 @t492)))
% 0.36/0.70  (step @p720 :rule instantiate :premises (@p177) :args ((@list @t498 @t177 @t492)))
% 0.36/0.70  (step @p721 :rule bool-double-not-elim :args (@t496))
% 0.36/0.70  (step @p722 :rule nary_cong :premises (@p548 @p721) :args ((or @t515 (not @t497))))
% 0.36/0.70  (step @p723 :rule cnf_or_neg :args (@t515 6))
% 0.36/0.70  (step @p724 :rule eq_resolve :premises (@p723 @p722))
% 0.36/0.70  (step @p725 :rule reordering :premises (@p724) :args ((or @t496 @t515)))
% 0.36/0.70  (step @p726 :rule chain_m_resolution :premises (@p725 @p546) :args (@t496 @t516 @t517))
% 0.36/0.70  (step @p727 :rule cnf_or_pos :args (@t603))
% 0.36/0.70  (step @p728 :rule reordering :premises (@p727) :args ((or @t500 @t497 @t602 (not @t603))))
% 0.36/0.70  (step @p729 :rule chain_m_resolution :premises (@p728 @p569 @p726 @p720) :args (@t602 @t520 (@list @t499 @t496 @t603)))
% 0.36/0.70  (step @p730 :rule cnf_or_pos :args (@t606))
% 0.36/0.70  (step @p731 :rule reordering :premises (@p730) :args ((or @t508 @t605 @t604 (not @t606))))
% 0.36/0.70  (step @p732 :rule chain_m_resolution :premises (@p731 @p575 @p729 @p719) :args (@t604 @t520 (@list @t507 @t602 @t606)))
% 0.36/0.70  (step @p733 :rule instantiate :premises (@p155) :args ((@list @t176 @t492 @t477)))
% 0.36/0.70  (step @p734 :rule cnf_or_pos :args (@t609))
% 0.36/0.70  (step @p735 :rule reordering :premises (@p734) :args ((or @t493 @t478 @t608 @t607 (not @t609))))
% 0.36/0.70  (step @p736 :rule instantiate :premises (@p155) :args (@t610))
% 0.36/0.70  (step @p737 :rule cnf_or_pos :args (@t612))
% 0.36/0.70  (step @p738 :rule reordering :premises (@p737) :args ((or @t502 @t478 @t611 @t607 (not @t612))))
% 0.36/0.70  (step @p739 :rule cnf_or_neg :args (@t515 7))
% 0.36/0.70  (step @p740 :rule chain_m_resolution :premises (@p739 @p546) :args ((not @t495) @t516 @t517))
% 0.36/0.70  (step @p741 :rule cnf_and_neg :args (@t495))
% 0.36/0.70  (step @p742 :rule cnf_or_neg :args (@t515 4))
% 0.36/0.70  (step @p743 :rule chain_m_resolution :premises (@p742 @p546) :args ((not @t504) @t516 @t517))
% 0.36/0.70  (step @p744 :rule cnf_and_neg :args (@t504))
% 0.36/0.70  (step @p745 :rule instantiate :premises (@p177) :args ((@list @t177 @t178 @t484)))
% 0.36/0.70  (step @p746 :rule bool-double-not-elim :args (@t488))
% 0.36/0.70  (step @p747 :rule nary_cong :premises (@p548 @p746) :args ((or @t515 (not @t489))))
% 0.36/0.70  (step @p748 :rule cnf_or_neg :args (@t515 9))
% 0.36/0.70  (step @p749 :rule eq_resolve :premises (@p748 @p747))
% 0.36/0.70  (step @p750 :rule reordering :premises (@p749) :args ((or @t488 @t515)))
% 0.36/0.70  (step @p751 :rule chain_m_resolution :premises (@p750 @p546) :args (@t488 @t516 @t517))
% 0.36/0.70  (step @p752 :rule cnf_or_pos :args (@t614))
% 0.36/0.70  (step @p753 :rule reordering :premises (@p752) :args ((or @t491 @t489 @t613 (not @t614))))
% 0.36/0.70  (step @p754 :rule chain_m_resolution :premises (@p753 @p559 @p751 @p745) :args (@t613 @t520 (@list @t490 @t488 @t614)))
% 0.36/0.70  (step @p755 :rule instantiate :premises (@p649) :args ((@list @t177 @t492 @t484)))
% 0.36/0.70  (step @p756 :rule cnf_or_pos :args (@t616))
% 0.36/0.70  (step @p757 :rule reordering :premises (@p756) :args ((or @t497 @t494 @t485 @t615 (not @t616))))
% 0.36/0.70  (step @p758 :rule instantiate :premises (@p177) :args ((@list @t498 @t177 @t484)))
% 0.36/0.70  (step @p759 :rule cnf_or_pos :args (@t618))
% 0.36/0.70  (step @p760 :rule reordering :premises (@p759) :args ((or @t500 @t615 @t617 (not @t618))))
% 0.36/0.70  (step @p761 :rule chain_m_resolution :premises (@p760 @p569 @p754 @p758) :args (@t617 @t520 (@list @t499 @t613 @t618)))
% 0.36/0.70  (step @p762 :rule instantiate :premises (@p699) :args ((@list @t498 @t501 @t484)))
% 0.36/0.70  (step @p763 :rule cnf_or_pos :args (@t620))
% 0.36/0.70  (step @p764 :rule reordering :premises (@p763) :args ((or @t506 @t503 @t486 @t619 (not @t620))))
% 0.36/0.70  (step @p765 :rule cnf_or_neg :args (@t515 10))
% 0.36/0.70  (step @p766 :rule chain_m_resolution :premises (@p765 @p546) :args ((not @t487) @t516 @t517))
% 0.36/0.70  (step @p767 :rule cnf_and_neg :args (@t487))
% 0.36/0.70  (step @p768 :rule chain_m_resolution :premises (@p767 @p766 @p764 @p762 @p761 @p597 @p757 @p755 @p754 @p726 @p744 @p743 @p741 @p740 @p738 @p736 @p718 @p600 @p735 @p733 @p718 @p732) :args (@t478 (@list true false false false false false false false false true true true true false false false false false false false false) (@list @t487 @t486 @t620 @t617 @t505 @t485 @t616 @t613 @t496 @t503 @t504 @t494 @t495 @t502 @t612 @t599 @t530 @t493 @t609 @t599 @t604)))
% 0.36/0.70  (step @p769 :rule cnf_or_neg :args (@t515 13))
% 0.36/0.70  (step @p770 :rule chain_m_resolution :premises (@p769 @p546) :args ((not @t480) @t516 @t517))
% 0.36/0.70  (step @p771 :rule cnf_and_neg :args (@t480))
% 0.36/0.70  (step @p772 :rule chain_m_resolution :premises (@p771 @p770 @p768) :args ((not @t479) @t621 (@list @t480 @t478)))
% 0.36/0.70  (step @p773 :rule bool-double-not-elim :args (@t513))
% 0.36/0.70  (step @p774 :rule nary_cong :premises (@p548 @p773) :args ((or @t515 (not @t514))))
% 0.36/0.70  (step @p775 :rule cnf_or_neg :args (@t515 0))
% 0.36/0.70  (step @p776 :rule eq_resolve :premises (@p775 @p774))
% 0.36/0.70  (step @p777 :rule reordering :premises (@p776) :args ((or @t513 @t515)))
% 0.36/0.70  (step @p778 :rule chain_m_resolution :premises (@p777 @p546) :args (@t513 @t516 @t517))
% 0.36/0.70  (step @p779 :rule cnf_or_pos :args (@t622))
% 0.36/0.70  (step @p780 :rule reordering :premises (@p779) :args ((or @t514 @t511 @t479 @t607 (not @t622))))
% 0.36/0.70  (step @p781 :rule chain_m_resolution :premises (@p780 @p778 @p772 @p718 @p700) :args (@t511 @t623 (@list @t513 @t479 @t599 @t622)))
% 0.36/0.70  (step @p782 :rule cnf_or_neg :args (@t515 1))
% 0.36/0.70  (step @p783 :rule chain_m_resolution :premises (@p782 @p546) :args ((not @t512) @t516 @t517))
% 0.36/0.70  (step @p784 :rule cnf_and_neg :args (@t512))
% 0.36/0.70  (step @p785 :rule chain_m_resolution :premises (@p784 @p783 @p781) :args ((not @t510) @t621 (@list @t512 @t511)))
% 0.36/0.70  (step @p786 :rule cnf_or_pos :args (@t625))
% 0.36/0.70  (step @p787 :rule reordering :premises (@p786) :args ((or @t514 @t510 @t473 @t624 (not @t625))))
% 0.36/0.70  (step @p788 :rule chain_m_resolution :premises (@p787 @p778 @p785 @p590 @p650) :args (@t473 @t623 (@list @t513 @t510 @t527 @t625)))
% 0.36/0.70  (step @p789 :rule cnf_or_neg :args (@t515 15))
% 0.36/0.70  (step @p790 :rule chain_m_resolution :premises (@p789 @p546) :args ((not @t474) @t516 @t517))
% 0.36/0.70  (step @p791 :rule cnf_and_neg :args (@t474))
% 0.36/0.70  (step @p792 :rule chain_m_resolution :premises (@p791 @p790 @p788) :args ((not @t472) @t621 (@list @t474 @t473)))
% 0.36/0.70  (step @p793 :rule instantiate :premises (@p699) :args (@t610))
% 0.36/0.70  (step @p794 :rule cnf_or_pos :args (@t626))
% 0.36/0.70  (step @p795 :rule reordering :premises (@p794) :args ((or @t503 @t479 @t611 @t607 (not @t626))))
% 0.36/0.70  (step @p796 :rule chain_m_resolution :premises (@p795 @p772 @p600 @p718 @p793) :args (@t503 (@list true false false false) (@list @t479 @t530 @t599 @t626)))
% 0.36/0.70  (step @p797 :rule chain_m_resolution :premises (@p744 @p743 @p796) :args ((not @t502) @t621 (@list @t504 @t503)))
% 0.36/0.70  (step @p798 :rule cnf_or_pos :args (@t627))
% 0.36/0.70  (step @p799 :rule reordering :premises (@p798) :args ((or @t502 @t472 @t611 @t624 @t628)))
% 0.36/0.70  (step @p800 :rule chain_m_resolution :premises (@p799 @p797 @p792 @p600 @p590) :args (@t628 (@list true true false false) (@list @t502 @t472 @t530 @t527)))
% 0.36/0.70  (assume-push @p807 @t629)
% 0.36/0.70  (step @p802 :rule instantiate :premises (@p155) :args ((@list @t176 @t501 @t174)))
% 0.36/0.70  (step-pop @p808 :rule scope :premises (@p802))
% 0.36/0.70  (step @p803 :rule process_scope :premises (@p808) :args (@t627))
% 0.36/0.70  (step @p805 :rule implies_elim :premises (@p803))
% 0.36/0.70  (step @p806 false :rule chain_m_resolution :premises (@p805 @p800 @p155) :args (false @t621 (@list @t627 @t629)))
% 0.36/0.70  )
% 0.36/0.70  % SZS output end Proof
% 0.36/0.70  % cvc5 exiting
%------------------------------------------------------------------------------