cvc5---1.3.4.THM-Prf.s

%------------------------------------------------------------------------------
% File     : cvc5---1.3.4
% Problem  : ALG264^1 : TPTP v9.2.1. Bugfixed v5.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM

% Computer : n029.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Wed Jun  3 08:05:41 AM UTC 2026

% Result   : Theorem 0.40s 0.85s
% Output   : Proof 0.40s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : ALG264^1 : TPTP v9.2.1. Bugfixed v5.2.0.
% 0.12/0.13  % Command  : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.18/0.34  % Computer : n029.cluster.edu
% 0.18/0.34  % Model    : x86_64 x86_64
% 0.18/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.18/0.34  % Memory   : 8042.1875MB
% 0.18/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.18/0.34  % CPULimit : 300
% 0.18/0.34  % WCLimit  : 300
% 0.18/0.34  % DateTime : Wed Jun  3 01:56:17 EDT 2026
% 0.18/0.34  % CPUTime  : 
% 0.29/0.55  %----Proving TH0
% 0.40/0.85  --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 90s...
% 0.40/0.85  % SZS status Theorem
% 0.40/0.85  % SZS output start Proof
% 0.40/0.85  (
% 0.40/0.85  (declare-sort tptp.term 0)
% 0.40/0.85  (declare-sort tptp.subst 0)
% 0.40/0.85  (declare-const tptp.push (-> tptp.term tptp.subst tptp.subst))
% 0.40/0.85  (declare-const tptp.sub (-> tptp.term tptp.subst tptp.term))
% 0.40/0.85  (declare-const tptp.ap (-> tptp.term tptp.term tptp.term))
% 0.40/0.85  (declare-const tptp.one tptp.term)
% 0.40/0.85  (declare-const tptp.sh tptp.subst)
% 0.40/0.85  (declare-const tptp.lam (-> tptp.term tptp.term))
% 0.40/0.85  (declare-const tptp.var (-> tptp.term Bool))
% 0.40/0.85  (declare-const tptp.id tptp.subst)
% 0.40/0.85  (declare-const tptp.hoasinduction_no_psi_cond_lthm Bool)
% 0.40/0.85  (declare-const tptp.hoasinduction_no_psi_cond Bool)
% 0.40/0.85  (declare-const tptp.hoasinduction_lthm_3 Bool)
% 0.40/0.85  (declare-const tptp.hoasinduction_lthm Bool)
% 0.40/0.85  (declare-const tptp.hoasinduction_gthm Bool)
% 0.40/0.85  (declare-const tptp.hoasinduction Bool)
% 0.40/0.85  (declare-const tptp.hoasinduction_lem3b_lthm Bool)
% 0.40/0.85  (declare-const tptp.hoasinduction_lem3b_gthm Bool)
% 0.40/0.85  (declare-const tptp.hoasinduction_lem3b Bool)
% 0.40/0.85  (declare-const tptp.hoasinduction_lem3a_lthm Bool)
% 0.40/0.85  (declare-const tptp.hoasinduction_lem3a_gthm Bool)
% 0.40/0.85  (declare-const tptp.hoasinduction_lem3a Bool)
% 0.40/0.85  (declare-const tptp.hoasinduction_lem3_lthm Bool)
% 0.40/0.85  (declare-const tptp.hoasinduction_lem3_gthm Bool)
% 0.40/0.85  (declare-const tptp.hoasinduction_lem3 Bool)
% 0.40/0.85  (declare-const tptp.hoasinduction_lem3aaa Bool)
% 0.40/0.85  (declare-const tptp.hoasinduction_lem3aa_lthm Bool)
% 0.40/0.85  (declare-const tptp.hoasinduction_lem3aa Bool)
% 0.40/0.85  (declare-const tptp.hoasinduction_lem2_lthm Bool)
% 0.40/0.85  (declare-const tptp.hoasinduction_lem2_gthm Bool)
% 0.40/0.85  (declare-const tptp.hoasinduction_lem2 Bool)
% 0.40/0.85  (declare-const tptp.hoasinduction_lem1_lthm Bool)
% 0.40/0.85  (declare-const tptp.hoasinduction_lem1_gthm Bool)
% 0.40/0.85  (declare-const tptp.hoasinduction_lem1 Bool)
% 0.40/0.85  (declare-const tptp.hoasinduction_lem3v2a_lthm Bool)
% 0.40/0.85  (declare-const tptp.hoasinduction_lem3v2a Bool)
% 0.40/0.85  (declare-const tptp.hoasinduction_lem3v2_lthm Bool)
% 0.40/0.85  (declare-const tptp.hoasinduction_lem3v2_gthm Bool)
% 0.40/0.85  (declare-const tptp.hoasinduction_lem3v2 Bool)
% 0.40/0.85  (declare-const tptp.hoasinduction_lem3v2_f_lthm Bool)
% 0.40/0.85  (declare-const tptp.hoasinduction_lem3v2_f Bool)
% 0.40/0.85  (declare-const tptp.hoasinduction_lem2v2_gthm Bool)
% 0.40/0.85  (declare-const tptp.hoasinduction_lem2v2 Bool)
% 0.40/0.85  (declare-const tptp.hoasinduction_lem1v2_gthm Bool)
% 0.40/0.85  (declare-const tptp.hoasinduction_lem1v2 Bool)
% 0.40/0.85  (declare-const tptp.hoasinduction_lem0_lthm Bool)
% 0.40/0.85  (declare-const tptp.hoasinduction_lem0 Bool)
% 0.40/0.85  (declare-const tptp.hoasapnotvar_lthm Bool)
% 0.40/0.85  (declare-const tptp.hoasapnotvar_gthm Bool)
% 0.40/0.85  (declare-const tptp.hoasapnotvar Bool)
% 0.40/0.85  (declare-const tptp.hoaslamnotvar_lthm Bool)
% 0.40/0.85  (declare-const tptp.hoaslamnotvar_gthm Bool)
% 0.40/0.85  (declare-const tptp.hoaslamnotvar Bool)
% 0.40/0.85  (declare-const tptp.hoaslamnotap_lthm Bool)
% 0.40/0.85  (declare-const tptp.hoaslamnotap_gthm Bool)
% 0.40/0.85  (declare-const tptp.hoaslamnotap Bool)
% 0.40/0.85  (declare-const tptp.hoaslaminj_lthm Bool)
% 0.40/0.85  (declare-const tptp.hoaslaminj_gthm Bool)
% 0.40/0.85  (declare-const tptp.hoaslaminj Bool)
% 0.40/0.85  (declare-const tptp.hoasapinj2_lthm Bool)
% 0.40/0.85  (declare-const tptp.hoasapinj2_gthm Bool)
% 0.40/0.85  (declare-const tptp.hoasapinj2 Bool)
% 0.40/0.85  (declare-const tptp.pushprop_lem0_lthm Bool)
% 0.40/0.85  (declare-const tptp.axassoc Bool)
% 0.40/0.85  (declare-const tptp.pushprop_lem0_gthm Bool)
% 0.40/0.85  (declare-const tptp.axvarcons Bool)
% 0.40/0.85  (declare-const tptp.pushprop_lem0 Bool)
% 0.40/0.85  (declare-const tptp.apinj1 Bool)
% 0.40/0.85  (declare-const tptp.induction Bool)
% 0.40/0.85  (declare-const tptp.apnotvar Bool)
% 0.40/0.85  (declare-const tptp.laminj Bool)
% 0.40/0.85  (declare-const tptp.axvarshift Bool)
% 0.40/0.85  (declare-const tptp.ulamvarind Bool)
% 0.40/0.85  (declare-const tptp.pushprop_lem2v2_lthm Bool)
% 0.40/0.85  (declare-const tptp.ulamvarsh Bool)
% 0.40/0.85  (declare-const tptp.ulamvar1 Bool)
% 0.40/0.85  (declare-const tptp.axabs Bool)
% 0.40/0.85  (declare-const tptp.pushprop_lem1 Bool)
% 0.40/0.85  (declare-const tptp.shinj Bool)
% 0.40/0.85  (declare-const tptp.comp (-> tptp.subst tptp.subst tptp.subst))
% 0.40/0.85  (declare-const tptp.apinj2 Bool)
% 0.40/0.85  (declare-const tptp.axvarid Bool)
% 0.40/0.85  (declare-const tptp.axidl Bool)
% 0.40/0.85  (declare-const tptp.axclos Bool)
% 0.40/0.85  (declare-const tptp.termmset Bool)
% 0.40/0.85  (declare-const tptp.axshiftcons Bool)
% 0.40/0.85  (declare-const tptp.lamnotap Bool)
% 0.40/0.85  (declare-const tptp.lamnotvar Bool)
% 0.40/0.85  (declare-const tptp.axapp Bool)
% 0.40/0.85  (declare-const tptp.axscons Bool)
% 0.40/0.85  (declare-const tptp.axmap Bool)
% 0.40/0.85  (declare-const tptp.axidr Bool)
% 0.40/0.85  (declare-const tptp.induction2lem Bool)
% 0.40/0.85  (declare-const tptp.pushprop_lem1_gthm Bool)
% 0.40/0.85  (declare-const tptp.hoasapinj1_lthm Bool)
% 0.40/0.85  (declare-const tptp.pushprop_lem1_lthm Bool)
% 0.40/0.85  (declare-const tptp.pushprop_lem1v2 Bool)
% 0.40/0.85  (declare-const tptp.pushprop_lem1v2_gthm Bool)
% 0.40/0.85  (declare-const tptp.induction2 Bool)
% 0.40/0.85  (declare-const tptp.pushprop_lem1v2_lthm Bool)
% 0.40/0.85  (declare-const tptp.pushprop_lem2v2 Bool)
% 0.40/0.85  (declare-const tptp.pushprop_lem2v2_gthm Bool)
% 0.40/0.85  (declare-const tptp.pushprop_lem3v2 Bool)
% 0.40/0.85  (declare-const tptp.pushprop_lem3v2_lthm Bool)
% 0.40/0.85  (declare-const tptp.pushprop Bool)
% 0.40/0.85  (declare-const tptp.pushprop_gthm Bool)
% 0.40/0.85  (declare-const tptp.hoasapinj1 Bool)
% 0.40/0.85  (declare-const tptp.pushprop_lthm_orig Bool)
% 0.40/0.85  (declare-const tptp.pushprop_lthm Bool)
% 0.40/0.85  (declare-const tptp.induction2lem_gthm Bool)
% 0.40/0.85  (declare-const tptp.induction2lem_lthm Bool)
% 0.40/0.85  (declare-const tptp.induction2_gthm Bool)
% 0.40/0.85  (declare-const tptp.induction2_lthm Bool)
% 0.40/0.85  (declare-const tptp.substmonoid Bool)
% 0.40/0.85  (declare-const tptp.substmonoid_gthm Bool)
% 0.40/0.85  (declare-const tptp.termmset_gthm Bool)
% 0.40/0.85  (declare-const tptp.substmonoid_lthm Bool)
% 0.40/0.85  (declare-const tptp.termmset_lthm Bool)
% 0.40/0.85  (declare-const tptp.hoasapinj1_gthm Bool)
% 0.40/0.85  (define tptp.pushprop_p_and_p_prime () (let ((_let_1 (@var "M" tptp.subst))) (let ((_let_2 (@var "A" tptp.term))) (let ((_let_3 (@var "X" tptp.term))) (let ((_let_4 (@var "P" (-> tptp.term Bool)))) (let ((_let_5 (@var "Q" (-> tptp.term Bool)))) (lambda (@list _let_2 _let_1 _let_4 _let_5) (forall (@list _let_3) (= (_ _let_5 _let_3) (_ _let_4 (_ (_ tptp.sub _let_3) (_ (_ tptp.push _let_2) _let_1))))))))))))
% 0.40/0.85  (define tptp.hoasap () (let ((_let_1 (@var "B" tptp.term))) (let ((_let_2 (@var "N" tptp.subst))) (let ((_let_3 (@var "A" tptp.term))) (lambda (@list (@var "M" tptp.subst) _let_3 _let_2 _let_1) (_ (_ tptp.ap (_ (_ tptp.sub _let_3) _let_2)) _let_1))))))
% 0.40/0.85  (define tptp.hoaslam () (let ((_let_1 (@var "F" (-> tptp.subst tptp.term tptp.term)))) (lambda (@list (@var "M" tptp.subst) _let_1) (_ tptp.lam (_ (_ _let_1 tptp.sh) tptp.one)))))
% 0.40/0.85  (define tptp.hoasvar () (let ((_let_1 (@var "N" tptp.subst))) (let ((_let_2 (@var "A" tptp.term))) (lambda (@list (@var "M" tptp.subst) _let_2 _let_1) (_ tptp.var (_ (_ tptp.sub _let_2) _let_1))))))
% 0.40/0.85  (define tptp.hoasinduction_p_and_p_prime () (let ((_let_1 (@var "X" tptp.term))) (let ((_let_2 (@var "P" (-> tptp.subst tptp.term tptp.subst Bool)))) (let ((_let_3 (@var "Q" (-> tptp.term Bool)))) (lambda (@list _let_2 _let_3) (forall (@list _let_1) (= (_ _let_3 _let_1) (_ (_ (_ _let_2 tptp.id) _let_1) tptp.id))))))))
% 0.40/0.85  (define @t1 () (@var "M" tptp.subst))
% 0.40/0.85  (define @t2 () (@var "B" tptp.term))
% 0.40/0.85  (define @t3 () (_ tptp.sub @t2))
% 0.40/0.85  (define @t4 () (_ @t3 @t1))
% 0.40/0.85  (define @t5 () (@var "A" tptp.term))
% 0.40/0.85  (define @t6 () (_ tptp.sub @t5))
% 0.40/0.85  (define @t7 () (_ @t6 @t1))
% 0.40/0.85  (define @t8 () (_ (_ tptp.ap @t7) @t4))
% 0.40/0.85  (define @t9 () (_ tptp.ap @t5))
% 0.40/0.85  (define @t10 () (_ @t9 @t2))
% 0.40/0.85  (define @t11 () (_ (_ tptp.sub @t10) @t1))
% 0.40/0.85  (define @t12 () (= @t11 @t8))
% 0.40/0.85  (define @t13 () (@list @t5 @t2 @t1))
% 0.40/0.85  (define @t14 () (forall @t13 @t12))
% 0.40/0.85  (define @t15 () (= tptp.axapp @t14))
% 0.40/0.85  (define @t16 () (_ (_ tptp.push @t5) @t1))
% 0.40/0.85  (define @t17 () (_ tptp.sub tptp.one))
% 0.40/0.85  (define @t18 () (_ @t17 @t16))
% 0.40/0.85  (define @t19 () (@list @t5 @t1))
% 0.40/0.85  (define @t20 () (forall @t19 (= @t18 @t5)))
% 0.40/0.85  (define @t21 () (= tptp.axvarcons @t20))
% 0.40/0.85  (define @t22 () (_ @t6 tptp.id))
% 0.40/0.85  (define @t23 () (@list @t5))
% 0.40/0.85  (define @t24 () (forall @t23 (= @t22 @t5)))
% 0.40/0.85  (define @t25 () (= tptp.axvarid @t24))
% 0.40/0.85  (define @t26 () (_ tptp.comp @t1))
% 0.40/0.85  (define @t27 () (_ @t26 tptp.sh))
% 0.40/0.85  (define @t28 () (_ tptp.push tptp.one))
% 0.40/0.85  (define @t29 () (_ @t28 @t27))
% 0.40/0.85  (define @t30 () (_ @t6 @t29))
% 0.40/0.85  (define @t31 () (_ tptp.lam @t30))
% 0.40/0.85  (define @t32 () (_ tptp.lam @t5))
% 0.40/0.85  (define @t33 () (_ (_ tptp.sub @t32) @t1))
% 0.40/0.85  (define @t34 () (= @t33 @t31))
% 0.40/0.85  (define @t35 () (forall @t19 @t34))
% 0.40/0.85  (define @t36 () (= tptp.axabs @t35))
% 0.40/0.85  (define @t37 () (@var "N" tptp.subst))
% 0.40/0.85  (define @t38 () (_ @t26 @t37))
% 0.40/0.85  (define @t39 () (_ @t6 @t38))
% 0.40/0.85  (define @t40 () (_ (_ tptp.sub @t7) @t37))
% 0.40/0.85  (define @t41 () (= @t40 @t39))
% 0.40/0.85  (define @t42 () (@list @t5 @t1 @t37))
% 0.40/0.85  (define @t43 () (forall @t42 @t41))
% 0.40/0.85  (define @t44 () (= tptp.axclos @t43))
% 0.40/0.85  (define @t45 () (_ (_ tptp.comp tptp.id) @t1))
% 0.40/0.85  (define @t46 () (@list @t1))
% 0.40/0.85  (define @t47 () (forall @t46 (= @t45 @t1)))
% 0.40/0.85  (define @t48 () (= tptp.axidl @t47))
% 0.40/0.85  (define @t49 () (_ tptp.comp tptp.sh))
% 0.40/0.85  (define @t50 () (_ @t49 @t16))
% 0.40/0.85  (define @t51 () (forall @t19 (= @t50 @t1)))
% 0.40/0.85  (define @t52 () (= tptp.axshiftcons @t51))
% 0.40/0.85  (define @t53 () (@var "K" tptp.subst))
% 0.40/0.85  (define @t54 () (_ (_ tptp.comp @t37) @t53))
% 0.40/0.85  (define @t55 () (_ @t26 @t54))
% 0.40/0.85  (define @t56 () (_ (_ tptp.comp @t38) @t53))
% 0.40/0.85  (define @t57 () (= @t56 @t55))
% 0.40/0.85  (define @t58 () (@list @t1 @t37 @t53))
% 0.40/0.85  (define @t59 () (forall @t58 @t57))
% 0.40/0.85  (define @t60 () (= tptp.axassoc @t59))
% 0.40/0.85  (define @t61 () (_ @t6 @t37))
% 0.40/0.85  (define @t62 () (_ (_ tptp.push @t61) @t38))
% 0.40/0.85  (define @t63 () (_ (_ tptp.comp @t16) @t37))
% 0.40/0.85  (define @t64 () (= @t63 @t62))
% 0.40/0.85  (define @t65 () (forall @t42 @t64))
% 0.40/0.85  (define @t66 () (= tptp.axmap @t65))
% 0.40/0.85  (define @t67 () (_ @t26 tptp.id))
% 0.40/0.85  (define @t68 () (forall @t46 (= @t67 @t1)))
% 0.40/0.85  (define @t69 () (= tptp.axidr @t68))
% 0.40/0.85  (define @t70 () (_ @t28 tptp.sh))
% 0.40/0.85  (define @t71 () (= tptp.axvarshift (= @t70 tptp.id)))
% 0.40/0.85  (define @t72 () (_ @t49 @t1))
% 0.40/0.85  (define @t73 () (_ @t17 @t1))
% 0.40/0.85  (define @t74 () (_ (_ tptp.push @t73) @t72))
% 0.40/0.85  (define @t75 () (forall @t46 (= @t74 @t1)))
% 0.40/0.85  (define @t76 () (= tptp.axscons @t75))
% 0.40/0.85  (define @t77 () (_ tptp.var tptp.one))
% 0.40/0.85  (define @t78 () (_ @t6 tptp.sh))
% 0.40/0.85  (define @t79 () (_ tptp.var @t78))
% 0.40/0.85  (define @t80 () (_ tptp.var @t5))
% 0.40/0.85  (define @t81 () (forall @t23 (=> @t80 @t79)))
% 0.40/0.85  (define @t82 () (= tptp.ulamvarsh @t81))
% 0.40/0.85  (define @t83 () (@var "P" (-> tptp.term Bool)))
% 0.40/0.85  (define @t84 () (_ @t83 @t5))
% 0.40/0.85  (define @t85 () (forall @t23 (=> @t80 @t84)))
% 0.40/0.85  (define @t86 () (_ @t83 @t78))
% 0.40/0.85  (define @t87 () (=> @t84 @t86))
% 0.40/0.85  (define @t88 () (forall @t23 (=> @t80 @t87)))
% 0.40/0.85  (define @t89 () (=> @t88 @t85))
% 0.40/0.85  (define @t90 () (_ @t83 tptp.one))
% 0.40/0.85  (define @t91 () (=> @t90 @t89))
% 0.40/0.85  (define @t92 () (@list @t83))
% 0.40/0.85  (define @t93 () (forall @t92 @t91))
% 0.40/0.85  (define @t94 () (= tptp.ulamvarind @t93))
% 0.40/0.85  (define @t95 () (= @t5 @t2))
% 0.40/0.85  (define @t96 () (@var "D" tptp.term))
% 0.40/0.85  (define @t97 () (_ tptp.ap @t2))
% 0.40/0.85  (define @t98 () (_ @t97 @t96))
% 0.40/0.85  (define @t99 () (@var "C" tptp.term))
% 0.40/0.85  (define @t100 () (_ @t9 @t99))
% 0.40/0.85  (define @t101 () (= @t100 @t98))
% 0.40/0.85  (define @t102 () (@list @t5 @t2 @t99 @t96))
% 0.40/0.85  (define @t103 () (forall @t102 (=> @t101 @t95)))
% 0.40/0.85  (define @t104 () (= tptp.apinj1 @t103))
% 0.40/0.85  (define @t105 () (= @t99 @t96))
% 0.40/0.85  (define @t106 () (forall @t102 (=> @t101 @t105)))
% 0.40/0.85  (define @t107 () (= tptp.apinj2 @t106))
% 0.40/0.85  (define @t108 () (_ tptp.lam @t2))
% 0.40/0.85  (define @t109 () (= @t32 @t108))
% 0.40/0.85  (define @t110 () (@list @t5 @t2))
% 0.40/0.85  (define @t111 () (forall @t110 (=> @t109 @t95)))
% 0.40/0.85  (define @t112 () (= tptp.laminj @t111))
% 0.40/0.85  (define @t113 () (_ @t3 tptp.sh))
% 0.40/0.85  (define @t114 () (= @t78 @t113))
% 0.40/0.85  (define @t115 () (forall @t110 (=> @t114 @t95)))
% 0.40/0.85  (define @t116 () (= tptp.shinj @t115))
% 0.40/0.85  (define @t117 () (_ @t97 @t99))
% 0.40/0.85  (define @t118 () (= @t32 @t117))
% 0.40/0.85  (define @t119 () (not @t118))
% 0.40/0.85  (define @t120 () (@list @t5 @t2 @t99))
% 0.40/0.85  (define @t121 () (forall @t120 @t119))
% 0.40/0.85  (define @t122 () (= tptp.lamnotap @t121))
% 0.40/0.85  (define @t123 () (_ tptp.var @t10))
% 0.40/0.85  (define @t124 () (not @t123))
% 0.40/0.85  (define @t125 () (forall @t110 @t124))
% 0.40/0.85  (define @t126 () (= tptp.apnotvar @t125))
% 0.40/0.85  (define @t127 () (_ tptp.var @t32))
% 0.40/0.85  (define @t128 () (not @t127))
% 0.40/0.85  (define @t129 () (forall @t23 @t128))
% 0.40/0.85  (define @t130 () (= tptp.lamnotvar @t129))
% 0.40/0.85  (define @t131 () (forall @t23 @t84))
% 0.40/0.85  (define @t132 () (_ @t83 @t32))
% 0.40/0.85  (define @t133 () (forall @t23 (=> @t84 @t132)))
% 0.40/0.85  (define @t134 () (=> @t133 @t131))
% 0.40/0.85  (define @t135 () (_ @t83 @t10))
% 0.40/0.85  (define @t136 () (_ @t83 @t2))
% 0.40/0.85  (define @t137 () (=> @t136 @t135))
% 0.40/0.85  (define @t138 () (forall @t110 (=> @t84 @t137)))
% 0.40/0.85  (define @t139 () (=> @t138 @t134))
% 0.40/0.85  (define @t140 () (=> @t85 @t139))
% 0.40/0.85  (define @t141 () (forall @t92 @t140))
% 0.40/0.85  (define @t142 () (= tptp.induction @t141))
% 0.40/0.85  (define @t143 () (@var "Q" (-> tptp.term Bool)))
% 0.40/0.85  (define @t144 () (_ (_ (_ (_ tptp.pushprop_p_and_p_prime @t5) @t1) @t83) @t143))
% 0.40/0.85  (define @t145 () (@list @t143))
% 0.40/0.85  (define @t146 () (@list @t83 @t5 @t1))
% 0.40/0.85  (define @t147 () (_ tptp.push @t2))
% 0.40/0.85  (define @t148 () (@var "K" (-> tptp.term Bool)))
% 0.40/0.85  (define @t149 () (@list @t83 @t143 @t5 @t1))
% 0.40/0.85  (define @t150 () (_ tptp.sub @t99))
% 0.40/0.85  (define @t151 () (@list @t99))
% 0.40/0.85  (define @t152 () (_ @t83 @t4))
% 0.40/0.85  (define @t153 () (_ tptp.var @t2))
% 0.40/0.85  (define @t154 () (@list @t2))
% 0.40/0.85  (define @t155 () (forall @t154 (=> @t153 @t152)))
% 0.40/0.85  (define @t156 () (_ @t3 @t16))
% 0.40/0.85  (define @t157 () (_ @t83 @t156))
% 0.40/0.85  (define @t158 () (forall @t154 (=> @t153 @t157)))
% 0.40/0.85  (define @t159 () (_ @t143 @t2))
% 0.40/0.85  (define @t160 () (=> @t84 @t158))
% 0.40/0.85  (define @t161 () (=> @t155 @t160))
% 0.40/0.85  (define @t162 () (forall @t146 @t161))
% 0.40/0.85  (define @t163 () (= tptp.pushprop @t162))
% 0.40/0.85  (define @t164 () (=> tptp.ulamvar1 (=> tptp.axvarcons (=> tptp.axclos (=> tptp.axshiftcons (=> tptp.ulamvarind tptp.pushprop))))))
% 0.40/0.85  (define @t165 () (_ @t83 @t7))
% 0.40/0.85  (define @t166 () (=> @t155 @t165))
% 0.40/0.85  (define @t167 () (forall @t19 @t166))
% 0.40/0.85  (define @t168 () (_ @t147 tptp.id))
% 0.40/0.85  (define @t169 () (_ @t6 @t168))
% 0.40/0.85  (define @t170 () (_ @t83 @t169))
% 0.40/0.85  (define @t171 () (forall @t154 (=> @t136 @t170)))
% 0.40/0.85  (define @t172 () (=> @t171 @t132))
% 0.40/0.85  (define @t173 () (forall @t23 @t172))
% 0.40/0.85  (define @t174 () (=> @t173 @t167))
% 0.40/0.85  (define @t175 () (=> @t138 @t174))
% 0.40/0.85  (define @t176 () (forall @t92 @t175))
% 0.40/0.85  (define @t177 () (= tptp.induction2lem @t176))
% 0.40/0.85  (define @t178 () (=> tptp.induction (=> tptp.pushprop tptp.induction2lem)))
% 0.40/0.85  (define @t179 () (=> @t173 @t131))
% 0.40/0.85  (define @t180 () (=> @t138 @t179))
% 0.40/0.85  (define @t181 () (=> @t85 @t180))
% 0.40/0.85  (define @t182 () (forall @t92 @t181))
% 0.40/0.85  (define @t183 () (= tptp.induction2 @t182))
% 0.40/0.85  (define @t184 () (=> tptp.induction2lem tptp.induction2))
% 0.40/0.85  (define @t185 () (and @t59 @t47 @t68))
% 0.40/0.85  (define @t186 () (= tptp.substmonoid @t185))
% 0.40/0.85  (define @t187 () (and @t43 @t24))
% 0.40/0.85  (define @t188 () (= tptp.termmset @t187))
% 0.40/0.85  (define @t189 () (_ tptp.hoasap tptp.id))
% 0.40/0.85  (define @t190 () (_ (_ @t189 @t5) tptp.id))
% 0.40/0.85  (define @t191 () (= (_ @t190 @t99) (_ (_ (_ @t189 @t2) tptp.id) @t96)))
% 0.40/0.85  (define @t192 () (=> @t191 @t95))
% 0.40/0.85  (define @t193 () (forall @t102 @t192))
% 0.40/0.85  (define @t194 () (= tptp.hoasapinj1 @t193))
% 0.40/0.85  (define @t195 () (=> @t191 @t105))
% 0.40/0.85  (define @t196 () (forall @t102 @t195))
% 0.40/0.85  (define @t197 () (= tptp.hoasapinj2 @t196))
% 0.40/0.85  (define @t198 () (@var "G" (-> tptp.subst tptp.term tptp.term)))
% 0.40/0.85  (define @t199 () (_ (_ @t198 @t1) @t5))
% 0.40/0.85  (define @t200 () (@var "F" (-> tptp.subst tptp.term tptp.term)))
% 0.40/0.85  (define @t201 () (_ @t200 @t1))
% 0.40/0.85  (define @t202 () (_ @t201 @t5))
% 0.40/0.85  (define @t203 () (= @t202 @t199))
% 0.40/0.85  (define @t204 () (@list @t1 @t5))
% 0.40/0.85  (define @t205 () (forall @t204 @t203))
% 0.40/0.85  (define @t206 () (lambda @t204 @t199))
% 0.40/0.85  (define @t207 () (_ tptp.hoaslam tptp.id))
% 0.40/0.85  (define @t208 () (lambda @t204 @t202))
% 0.40/0.85  (define @t209 () (_ @t207 @t208))
% 0.40/0.85  (define @t210 () (= @t209 (_ @t207 @t206)))
% 0.40/0.85  (define @t211 () (=> @t210 @t205))
% 0.40/0.85  (define @t212 () (_ (_ @t198 @t38) @t61))
% 0.40/0.85  (define @t213 () (_ (_ tptp.sub @t199) @t37))
% 0.40/0.85  (define @t214 () (= @t213 @t212))
% 0.40/0.85  (define @t215 () (@list @t1 @t5 @t37))
% 0.40/0.85  (define @t216 () (forall @t215 @t214))
% 0.40/0.85  (define @t217 () (=> @t216 @t211))
% 0.40/0.85  (define @t218 () (@list @t198))
% 0.40/0.85  (define @t219 () (forall @t218 @t217))
% 0.40/0.85  (define @t220 () (_ (_ @t200 @t38) @t61))
% 0.40/0.85  (define @t221 () (_ (_ tptp.sub @t202) @t37))
% 0.40/0.85  (define @t222 () (= @t221 @t220))
% 0.40/0.85  (define @t223 () (forall @t215 @t222))
% 0.40/0.85  (define @t224 () (=> @t223 @t219))
% 0.40/0.85  (define @t225 () (@list @t200))
% 0.40/0.85  (define @t226 () (forall @t225 @t224))
% 0.40/0.85  (define @t227 () (= tptp.hoaslaminj @t226))
% 0.40/0.85  (define @t228 () (_ @t190 @t2))
% 0.40/0.85  (define @t229 () (lambda (@list @t1 @t99) (_ @t201 @t99)))
% 0.40/0.85  (define @t230 () (= (_ @t207 @t229) @t228))
% 0.40/0.85  (define @t231 () (not @t230))
% 0.40/0.85  (define @t232 () (forall @t110 @t231))
% 0.40/0.85  (define @t233 () (=> @t223 @t232))
% 0.40/0.85  (define @t234 () (forall @t225 @t233))
% 0.40/0.85  (define @t235 () (= tptp.hoaslamnotap @t234))
% 0.40/0.85  (define @t236 () (_ tptp.hoasvar tptp.id))
% 0.40/0.85  (define @t237 () (not (_ (_ @t236 @t209) tptp.id)))
% 0.40/0.85  (define @t238 () (=> @t223 @t237))
% 0.40/0.85  (define @t239 () (forall @t225 @t238))
% 0.40/0.85  (define @t240 () (= tptp.hoaslamnotvar @t239))
% 0.40/0.85  (define @t241 () (not (_ (_ @t236 @t228) tptp.id)))
% 0.40/0.85  (define @t242 () (forall @t110 @t241))
% 0.40/0.85  (define @t243 () (= tptp.hoasapnotvar @t242))
% 0.40/0.85  (define @t244 () (@var "P" (-> tptp.subst tptp.term tptp.subst Bool)))
% 0.40/0.85  (define @t245 () (_ (_ tptp.hoasinduction_p_and_p_prime @t244) @t143))
% 0.40/0.85  (define @t246 () (@list @t244))
% 0.40/0.85  (define @t247 () (_ @t143 @t5))
% 0.40/0.85  (define @t248 () (_ @t244 tptp.id))
% 0.40/0.85  (define @t249 () (_ (_ @t248 @t5) tptp.id))
% 0.40/0.85  (define @t250 () (forall @t23 (=> (_ (_ @t236 @t5) tptp.id) @t249)))
% 0.40/0.85  (define @t251 () (_ (_ tptp.comp @t53) @t37))
% 0.40/0.85  (define @t252 () (_ (_ @t244 @t1) @t5))
% 0.40/0.85  (define @t253 () (_ @t252 @t251))
% 0.40/0.85  (define @t254 () (_ @t6 @t53))
% 0.40/0.85  (define @t255 () (_ @t26 @t53))
% 0.40/0.85  (define @t256 () (_ (_ (_ @t244 @t255) @t254) @t37))
% 0.40/0.85  (define @t257 () (@list @t1 @t5 @t37 @t53))
% 0.40/0.85  (define @t258 () (forall @t257 (=> @t256 @t253)))
% 0.40/0.85  (define @t259 () (forall @t257 (=> @t253 @t256)))
% 0.40/0.85  (define @t260 () (@list @t244 @t143))
% 0.40/0.85  (define @t261 () (_ (_ @t248 @t2) tptp.id))
% 0.40/0.85  (define @t262 () (=> @t261 (_ (_ @t248 @t228) tptp.id)))
% 0.40/0.85  (define @t263 () (=> @t249 @t262))
% 0.40/0.85  (define @t264 () (forall @t110 @t263))
% 0.40/0.85  (define @t265 () (=> (forall @t23 (=> @t249 (_ (_ @t248 (_ (_ @t200 tptp.id) @t5)) tptp.id))) (_ (_ @t248 @t209) tptp.id)))
% 0.40/0.85  (define @t266 () (forall @t225 (=> @t223 @t265)))
% 0.40/0.85  (define @t267 () (=> @t266 (=> @t245 (forall @t23 (=> (forall @t154 (=> @t159 (_ @t143 @t169))) (_ @t143 @t32))))))
% 0.40/0.85  (define @t268 () (=> tptp.axapp (=> tptp.axvarcons (=> tptp.axvarid (=> tptp.axabs (=> tptp.axclos (=> tptp.axidl (=> tptp.axshiftcons (=> tptp.axassoc (=> tptp.axmap (=> tptp.axidr (=> tptp.axvarshift (=> tptp.axscons (=> tptp.ulamvar1 (=> tptp.ulamvarsh (=> tptp.ulamvarind (=> tptp.apinj1 (=> tptp.apinj2 (=> tptp.laminj (=> tptp.shinj (=> tptp.lamnotap (=> tptp.apnotvar (=> tptp.lamnotvar (=> tptp.induction (=> tptp.pushprop (=> tptp.induction2lem (=> tptp.induction2 (=> tptp.substmonoid (=> tptp.termmset (=> tptp.hoasapinj1 (=> tptp.hoasapinj2 (=> tptp.hoaslaminj (=> tptp.hoaslamnotap (=> tptp.hoaslamnotvar (=> tptp.hoasapnotvar tptp.hoasinduction_lem1)))))))))))))))))))))))))))))))))))
% 0.40/0.85  (define @t269 () (_ (_ @t248 @t10) tptp.id))
% 0.40/0.85  (define @t270 () (=> @t261 @t269))
% 0.40/0.85  (define @t271 () (forall @t110 (=> @t249 @t270)))
% 0.40/0.85  (define @t272 () (=> @t264 @t271))
% 0.40/0.85  (define @t273 () (=> @t258 @t272))
% 0.40/0.85  (define @t274 () (=> @t259 @t273))
% 0.40/0.85  (define @t275 () (forall @t246 @t274))
% 0.40/0.85  (define @t276 () (= tptp.hoasinduction_lem2 @t275))
% 0.40/0.85  (define @t277 () (=> tptp.hoasapnotvar tptp.hoasinduction_lem2))
% 0.40/0.85  (define @t278 () (=> tptp.hoaslamnotvar @t277))
% 0.40/0.85  (define @t279 () (=> tptp.hoaslamnotap @t278))
% 0.40/0.85  (define @t280 () (=> tptp.hoaslaminj @t279))
% 0.40/0.85  (define @t281 () (=> tptp.hoasapinj2 @t280))
% 0.40/0.85  (define @t282 () (=> tptp.hoasapinj1 @t281))
% 0.40/0.85  (define @t283 () (=> tptp.termmset @t282))
% 0.40/0.85  (define @t284 () (=> tptp.substmonoid @t283))
% 0.40/0.85  (define @t285 () (=> tptp.induction2 @t284))
% 0.40/0.85  (define @t286 () (=> tptp.induction2lem @t285))
% 0.40/0.85  (define @t287 () (=> tptp.pushprop @t286))
% 0.40/0.85  (define @t288 () (=> tptp.induction @t287))
% 0.40/0.85  (define @t289 () (=> tptp.lamnotvar @t288))
% 0.40/0.85  (define @t290 () (=> tptp.apnotvar @t289))
% 0.40/0.85  (define @t291 () (=> tptp.lamnotap @t290))
% 0.40/0.85  (define @t292 () (=> tptp.shinj @t291))
% 0.40/0.85  (define @t293 () (=> tptp.laminj @t292))
% 0.40/0.85  (define @t294 () (=> tptp.apinj2 @t293))
% 0.40/0.85  (define @t295 () (=> tptp.apinj1 @t294))
% 0.40/0.85  (define @t296 () (=> tptp.ulamvarind @t295))
% 0.40/0.85  (define @t297 () (=> tptp.ulamvarsh @t296))
% 0.40/0.85  (define @t298 () (=> tptp.ulamvar1 @t297))
% 0.40/0.85  (define @t299 () (=> tptp.axscons @t298))
% 0.40/0.85  (define @t300 () (=> tptp.axvarshift @t299))
% 0.40/0.85  (define @t301 () (=> tptp.axidr @t300))
% 0.40/0.85  (define @t302 () (=> tptp.axmap @t301))
% 0.40/0.85  (define @t303 () (=> tptp.axassoc @t302))
% 0.40/0.85  (define @t304 () (=> tptp.axshiftcons @t303))
% 0.40/0.85  (define @t305 () (=> tptp.axidl @t304))
% 0.40/0.85  (define @t306 () (=> tptp.axclos @t305))
% 0.40/0.85  (define @t307 () (=> tptp.axabs @t306))
% 0.40/0.85  (define @t308 () (=> tptp.axvarid @t307))
% 0.40/0.85  (define @t309 () (=> tptp.axvarcons @t308))
% 0.40/0.85  (define @t310 () (=> tptp.axapp @t309))
% 0.40/0.85  (define @t311 () (= tptp.hoasinduction_lem2_gthm @t310))
% 0.40/0.85  (define @t312 () (forall @t154 (=> @t261 (_ (_ @t248 @t169) tptp.id))))
% 0.40/0.85  (define @t313 () (forall @t23 (=> @t312 (_ (_ @t248 (_ tptp.lam (_ @t6 @t70))) tptp.id))))
% 0.40/0.85  (define @t314 () (=> @t266 (forall @t23 (=> @t312 (_ (_ @t248 @t32) tptp.id)))))
% 0.40/0.85  (define @t315 () (_ @t200 tptp.sh))
% 0.40/0.85  (define @t316 () (_ @t315 tptp.one))
% 0.40/0.85  (define @t317 () (=> @t264 (=> @t266 (forall @t23 @t249))))
% 0.40/0.85  (define @t318 () (=> tptp.hoasinduction_lem1 (=> tptp.hoasinduction_lem2 (=> tptp.hoasinduction_lem3 tptp.hoasinduction))))
% 0.40/0.85  (define @t319 () (not tptp.hoasinduction_lem2_gthm))
% 0.40/0.85  (define @t320 () (@var "X" tptp.term))
% 0.40/0.85  (define @t321 () (_ @t143 @t320))
% 0.40/0.85  (define @t322 () (@list @t320))
% 0.40/0.85  (define @t323 () (lambda (@list @t5 @t1 @t83 @t143) (forall @t322 (= @t321 (_ @t83 (_ (_ tptp.sub @t320) @t16))))))
% 0.40/0.85  (define @t324 () (_ tptp.ap @t61))
% 0.40/0.85  (define @t325 () (_ @t324 @t2))
% 0.40/0.85  (define @t326 () (lambda (@list @t1 @t5 @t37 @t2) @t325))
% 0.40/0.85  (define @t327 () (_ tptp.lam @t316))
% 0.40/0.85  (define @t328 () (lambda (@list @t1 @t200) @t327))
% 0.40/0.85  (define @t329 () (_ tptp.var @t61))
% 0.40/0.85  (define @t330 () (lambda @t215 @t329))
% 0.40/0.85  (define @t331 () (lambda @t260 (forall @t322 (= @t321 (_ (_ @t248 @t320) tptp.id)))))
% 0.40/0.85  (define @t332 () (tptp.push tptp.one tptp.sh))
% 0.40/0.85  (define @t333 () (@var "BOUND_VARIABLE_10029" tptp.term))
% 0.40/0.85  (define @t334 () (@var "BOUND_VARIABLE_10027" tptp.term))
% 0.40/0.85  (define @t335 () (tptp.ap @t334 @t333))
% 0.40/0.85  (define @t336 () (tptp.sub @t5 @t332))
% 0.40/0.85  (define @t337 () (tptp.ap @t336 @t2))
% 0.40/0.85  (define @t338 () (not (forall @t110 (or (not (_ @t244 @t332 @t5 @t332)) (not (_ @t244 @t332 @t2 @t332)) (_ @t244 @t332 @t337 @t332)))))
% 0.40/0.85  (define @t339 () (tptp.comp @t53 @t37))
% 0.40/0.85  (define @t340 () (_ @t244 @t1 @t5 @t339))
% 0.40/0.85  (define @t341 () (tptp.sub @t5 @t53))
% 0.40/0.85  (define @t342 () (tptp.comp @t1 @t53))
% 0.40/0.85  (define @t343 () (_ @t244 @t342 @t341 @t37))
% 0.40/0.85  (define @t344 () (forall @t257 (or (not @t343) @t340)))
% 0.40/0.85  (define @t345 () (not @t344))
% 0.40/0.85  (define @t346 () (forall @t257 (or (not @t340) @t343)))
% 0.40/0.85  (define @t347 () (not @t346))
% 0.40/0.85  (define @t348 () (@list @t244 @t334 @t333))
% 0.40/0.85  (define @t349 () (forall @t348 (or @t347 @t345 @t338 (not (_ @t244 @t332 @t334 @t332)) (not (_ @t244 @t332 @t333 @t332)) (_ @t244 @t332 @t335 @t332))))
% 0.40/0.85  (define @t350 () (_ @t200 tptp.sh tptp.one))
% 0.40/0.85  (define @t351 () (tptp.lam @t350))
% 0.40/0.85  (define @t352 () (tptp.sub @t5 @t37))
% 0.40/0.85  (define @t353 () (tptp.comp @t1 @t37))
% 0.40/0.85  (define @t354 () (_ @t200 @t353 @t352))
% 0.40/0.85  (define @t355 () (_ @t200 @t1 @t5))
% 0.40/0.85  (define @t356 () (tptp.sub @t355 @t37))
% 0.40/0.85  (define @t357 () (forall @t215 (= @t356 @t354)))
% 0.40/0.85  (define @t358 () (not @t357))
% 0.40/0.85  (define @t359 () (@var "BOUND_VARIABLE_9634" tptp.term))
% 0.40/0.85  (define @t360 () (@var "BOUND_VARIABLE_9632" tptp.term))
% 0.40/0.85  (define @t361 () (@list @t200 @t360 @t359))
% 0.40/0.85  (define @t362 () (@var "BOUND_VARIABLE_9580" tptp.term))
% 0.40/0.85  (define @t363 () (@var "BOUND_VARIABLE_9578" tptp.subst))
% 0.40/0.85  (define @t364 () (@var "BOUND_VARIABLE_9576" (-> tptp.subst tptp.term tptp.term)))
% 0.40/0.85  (define @t365 () (= (_ @t200 @t363 @t362) (_ @t364 @t363 @t362)))
% 0.40/0.85  (define @t366 () (not (= @t351 (tptp.lam (_ @t364 tptp.sh tptp.one)))))
% 0.40/0.85  (define @t367 () (not (forall @t215 (= (tptp.sub (_ @t364 @t1 @t5) @t37) (_ @t364 @t353 @t352)))))
% 0.40/0.85  (define @t368 () (or @t358 @t367 @t366 @t365))
% 0.40/0.85  (define @t369 () (@list @t200 @t364 @t363 @t362))
% 0.40/0.85  (define @t370 () (forall @t369 @t368))
% 0.40/0.85  (define @t371 () (not (= (tptp.ap (tptp.sub @t2 @t332) @t96) (tptp.ap @t336 @t99))))
% 0.40/0.85  (define @t372 () (forall @t23 (= @t5 @t336)))
% 0.40/0.85  (define @t373 () (tptp.sub @t5 @t353))
% 0.40/0.85  (define @t374 () (tptp.sub @t5 @t1))
% 0.40/0.85  (define @t375 () (tptp.sub @t374 @t37))
% 0.40/0.85  (define @t376 () (forall @t42 (= @t375 @t373)))
% 0.40/0.85  (define @t377 () (forall @t46 (= @t1 (tptp.comp @t1 @t332))))
% 0.40/0.85  (define @t378 () (forall @t46 (= @t1 (tptp.comp @t332 @t1))))
% 0.40/0.85  (define @t379 () (tptp.comp @t37 @t53))
% 0.40/0.85  (define @t380 () (tptp.comp @t1 @t379))
% 0.40/0.85  (define @t381 () (tptp.comp @t353 @t53))
% 0.40/0.85  (define @t382 () (forall @t58 (= @t381 @t380)))
% 0.40/0.85  (define @t383 () (@var "BOUND_VARIABLE_9396" tptp.term))
% 0.40/0.85  (define @t384 () (_ @t83 @t383))
% 0.40/0.85  (define @t385 () (tptp.lam @t5))
% 0.40/0.85  (define @t386 () (_ @t83 @t385))
% 0.40/0.85  (define @t387 () (_ @t83 @t2))
% 0.40/0.85  (define @t388 () (not @t387))
% 0.40/0.85  (define @t389 () (not (forall @t23 (or (not (forall @t154 (or @t388 (_ @t83 (tptp.sub @t5 (tptp.push @t2 @t332)))))) @t386))))
% 0.40/0.85  (define @t390 () (tptp.ap @t5 @t2))
% 0.40/0.85  (define @t391 () (_ @t83 @t390))
% 0.40/0.85  (define @t392 () (_ @t83 @t5))
% 0.40/0.85  (define @t393 () (not @t392))
% 0.40/0.85  (define @t394 () (forall @t110 (or @t393 @t388 @t391)))
% 0.40/0.85  (define @t395 () (not @t394))
% 0.40/0.85  (define @t396 () (tptp.var @t5))
% 0.40/0.85  (define @t397 () (not @t396))
% 0.40/0.85  (define @t398 () (forall @t23 (or @t397 @t392)))
% 0.40/0.85  (define @t399 () (not @t398))
% 0.40/0.85  (define @t400 () (@list @t83 @t383))
% 0.40/0.85  (define @t401 () (@var "BOUND_VARIABLE_9371" tptp.subst))
% 0.40/0.85  (define @t402 () (@var "BOUND_VARIABLE_9369" tptp.term))
% 0.40/0.85  (define @t403 () (_ @t83 (tptp.sub @t402 @t401)))
% 0.40/0.85  (define @t404 () (tptp.var @t2))
% 0.40/0.85  (define @t405 () (not @t404))
% 0.40/0.85  (define @t406 () (not (forall @t154 (or @t405 (_ @t83 (tptp.sub @t2 @t401))))))
% 0.40/0.85  (define @t407 () (@list @t83 @t402 @t401))
% 0.40/0.85  (define @t408 () (tptp.push @t5 @t1))
% 0.40/0.85  (define @t409 () (@var "BOUND_VARIABLE_9324" tptp.term))
% 0.40/0.85  (define @t410 () (_ @t83 (tptp.sub @t409 @t408)))
% 0.40/0.85  (define @t411 () (not (tptp.var @t409)))
% 0.40/0.85  (define @t412 () (tptp.sub @t2 @t1))
% 0.40/0.85  (define @t413 () (_ @t83 @t412))
% 0.40/0.85  (define @t414 () (forall @t154 (or @t405 @t413)))
% 0.40/0.85  (define @t415 () (not @t414))
% 0.40/0.85  (define @t416 () (or @t415 @t393 @t411 @t410))
% 0.40/0.85  (define @t417 () (@list @t83 @t5 @t1 @t409))
% 0.40/0.85  (define @t418 () (forall @t417 @t416))
% 0.40/0.85  (define @t419 () (@var "BOUND_VARIABLE_9170" tptp.term))
% 0.40/0.85  (define @t420 () (_ @t83 @t419))
% 0.40/0.85  (define @t421 () (forall @t23 (or @t393 @t386)))
% 0.40/0.85  (define @t422 () (not @t421))
% 0.40/0.85  (define @t423 () (or @t399 @t395 @t422 @t420))
% 0.40/0.85  (define @t424 () (forall (@list @t83 @t419) @t423))
% 0.40/0.85  (define @t425 () (tptp.var @t385))
% 0.40/0.85  (define @t426 () (forall @t23 (not @t425)))
% 0.40/0.85  (define @t427 () (tptp.var @t390))
% 0.40/0.85  (define @t428 () (forall @t110 (not @t427)))
% 0.40/0.85  (define @t429 () (tptp.ap @t2 @t99))
% 0.40/0.85  (define @t430 () (forall @t120 (not (= @t385 @t429))))
% 0.40/0.85  (define @t431 () (tptp.sub @t2 tptp.sh))
% 0.40/0.85  (define @t432 () (tptp.sub @t5 tptp.sh))
% 0.40/0.85  (define @t433 () (forall @t110 (or (not (= @t432 @t431)) @t95)))
% 0.40/0.85  (define @t434 () (tptp.lam @t2))
% 0.40/0.85  (define @t435 () (forall @t110 (or (not (= @t385 @t434)) @t95)))
% 0.40/0.85  (define @t436 () (tptp.ap @t2 @t96))
% 0.40/0.85  (define @t437 () (tptp.ap @t5 @t99))
% 0.40/0.85  (define @t438 () (not (= @t437 @t436)))
% 0.40/0.85  (define @t439 () (forall @t102 (or @t438 @t105)))
% 0.40/0.85  (define @t440 () (forall @t102 (or @t438 @t95)))
% 0.40/0.85  (define @t441 () (@var "BOUND_VARIABLE_9074" tptp.term))
% 0.40/0.85  (define @t442 () (_ @t83 @t441))
% 0.40/0.85  (define @t443 () (not (tptp.var @t441)))
% 0.40/0.85  (define @t444 () (_ @t83 @t432))
% 0.40/0.85  (define @t445 () (forall @t23 (or @t397 @t393 @t444)))
% 0.40/0.85  (define @t446 () (not @t445))
% 0.40/0.85  (define @t447 () (_ @t83 tptp.one))
% 0.40/0.85  (define @t448 () (not @t447))
% 0.40/0.85  (define @t449 () (or @t448 @t446 @t443 @t442))
% 0.40/0.85  (define @t450 () (@list @t83 @t441))
% 0.40/0.85  (define @t451 () (forall @t450 @t449))
% 0.40/0.85  (define @t452 () (tptp.var @t432))
% 0.40/0.85  (define @t453 () (forall @t23 (or @t397 @t452)))
% 0.40/0.85  (define @t454 () (=> @t453 (=> @t451 (=> @t440 (=> @t439 (=> @t435 (=> @t433 (=> @t430 (=> @t428 (=> @t426 (=> @t424 (=> @t418 (=> (forall @t407 (or @t395 @t389 @t406 @t403)) (=> (forall @t400 (or @t399 @t395 @t389 @t384)) (=> (and @t382 @t378 @t377) (=> (and @t376 @t372) (=> (forall @t102 (or @t371 @t95)) (=> (forall @t102 (or @t371 @t105)) (=> @t370 (=> (forall @t361 (or @t358 (not (= @t351 (tptp.ap (tptp.sub @t360 @t332) @t359))))) (=> (forall @t225 (or @t358 (not (tptp.var (tptp.sub @t351 @t332))))) (=> (forall @t110 (not (tptp.var (tptp.sub @t337 @t332)))) @t349))))))))))))))))))))))
% 0.40/0.85  (define @t455 () (tptp.var tptp.one))
% 0.40/0.85  (define @t456 () (=> @t77 @t454))
% 0.40/0.85  (define @t457 () (tptp.comp tptp.sh @t1))
% 0.40/0.85  (define @t458 () (tptp.sub tptp.one @t1))
% 0.40/0.85  (define @t459 () (tptp.push @t458 @t457))
% 0.40/0.85  (define @t460 () (forall @t46 (= @t1 @t459)))
% 0.40/0.85  (define @t461 () (=> @t460 @t456))
% 0.40/0.85  (define @t462 () (=> @t377 @t461))
% 0.40/0.85  (define @t463 () (tptp.push @t352 @t353))
% 0.40/0.85  (define @t464 () (tptp.comp @t408 @t37))
% 0.40/0.85  (define @t465 () (forall @t42 (= @t464 @t463)))
% 0.40/0.85  (define @t466 () (=> @t465 @t462))
% 0.40/0.85  (define @t467 () (=> @t382 @t466))
% 0.40/0.85  (define @t468 () (tptp.comp tptp.sh @t408))
% 0.40/0.85  (define @t469 () (forall @t19 (= @t1 @t468)))
% 0.40/0.85  (define @t470 () (=> @t469 @t467))
% 0.40/0.85  (define @t471 () (=> @t378 @t470))
% 0.40/0.85  (define @t472 () (=> @t376 @t471))
% 0.40/0.85  (define @t473 () (tptp.comp @t1 tptp.sh))
% 0.40/0.85  (define @t474 () (tptp.push tptp.one @t473))
% 0.40/0.85  (define @t475 () (tptp.sub @t5 @t474))
% 0.40/0.85  (define @t476 () (tptp.lam @t475))
% 0.40/0.85  (define @t477 () (tptp.sub @t385 @t1))
% 0.40/0.85  (define @t478 () (forall @t19 (= @t477 @t476)))
% 0.40/0.85  (define @t479 () (=> @t478 @t472))
% 0.40/0.85  (define @t480 () (=> @t372 @t479))
% 0.40/0.85  (define @t481 () (tptp.sub tptp.one @t408))
% 0.40/0.85  (define @t482 () (forall @t19 (= @t5 @t481)))
% 0.40/0.85  (define @t483 () (=> @t482 @t480))
% 0.40/0.85  (define @t484 () (tptp.ap @t374 @t412))
% 0.40/0.85  (define @t485 () (tptp.sub @t390 @t1))
% 0.40/0.85  (define @t486 () (forall @t13 (= @t485 @t484)))
% 0.40/0.85  (define @t487 () (=> @t486 @t483))
% 0.40/0.85  (define @t488 () (_ @t244 @t70 @t335 @t70))
% 0.40/0.85  (define @t489 () (_ @t244 @t70 @t333 @t70))
% 0.40/0.85  (define @t490 () (not @t489))
% 0.40/0.85  (define @t491 () (_ @t244 @t70 @t334 @t70))
% 0.40/0.85  (define @t492 () (not @t491))
% 0.40/0.85  (define @t493 () (or @t347 @t345 @t338 @t492 @t490 @t488))
% 0.40/0.85  (define @t494 () (tptp.sub @t5 @t70))
% 0.40/0.85  (define @t495 () (tptp.ap @t494 @t2))
% 0.40/0.85  (define @t496 () (_ @t244 @t70 @t495 @t70))
% 0.40/0.85  (define @t497 () (_ @t244 @t70 @t2 @t70))
% 0.40/0.85  (define @t498 () (not @t497))
% 0.40/0.85  (define @t499 () (_ @t244 @t70 @t5 @t70))
% 0.40/0.85  (define @t500 () (not @t499))
% 0.40/0.85  (define @t501 () (or @t500 @t498 @t496))
% 0.40/0.85  (define @t502 () (forall @t110 @t501))
% 0.40/0.85  (define @t503 () (not @t502))
% 0.40/0.85  (define @t504 () (or @t347 @t345 @t503 @t492 @t490 @t488))
% 0.40/0.85  (define @t505 () (forall @t348 @t504))
% 0.40/0.85  (define @t506 () (tptp.sub @t495 @t70))
% 0.40/0.85  (define @t507 () (tptp.var @t506))
% 0.40/0.85  (define @t508 () (not @t507))
% 0.40/0.85  (define @t509 () (forall @t110 @t508))
% 0.40/0.85  (define @t510 () (=> @t509 @t505))
% 0.40/0.85  (define @t511 () (tptp.sub @t351 @t70))
% 0.40/0.85  (define @t512 () (tptp.var @t511))
% 0.40/0.85  (define @t513 () (not @t512))
% 0.40/0.85  (define @t514 () (or @t358 @t513))
% 0.40/0.85  (define @t515 () (forall @t225 @t514))
% 0.40/0.85  (define @t516 () (=> @t515 @t510))
% 0.40/0.85  (define @t517 () (tptp.sub @t360 @t70))
% 0.40/0.85  (define @t518 () (tptp.ap @t517 @t359))
% 0.40/0.85  (define @t519 () (= @t351 @t518))
% 0.40/0.85  (define @t520 () (not @t519))
% 0.40/0.85  (define @t521 () (or @t358 @t520))
% 0.40/0.85  (define @t522 () (forall @t361 @t521))
% 0.40/0.85  (define @t523 () (=> @t522 @t516))
% 0.40/0.85  (define @t524 () (=> @t370 @t523))
% 0.40/0.85  (define @t525 () (tptp.ap @t494 @t99))
% 0.40/0.85  (define @t526 () (tptp.sub @t2 @t70))
% 0.40/0.85  (define @t527 () (tptp.ap @t526 @t96))
% 0.40/0.85  (define @t528 () (= @t527 @t525))
% 0.40/0.85  (define @t529 () (not @t528))
% 0.40/0.85  (define @t530 () (or @t529 @t105))
% 0.40/0.85  (define @t531 () (not (= @t525 @t527)))
% 0.40/0.85  (define @t532 () (or @t531 @t105))
% 0.40/0.85  (define @t533 () (forall @t102 @t532))
% 0.40/0.85  (define @t534 () (=> @t533 @t524))
% 0.40/0.85  (define @t535 () (or @t529 @t95))
% 0.40/0.85  (define @t536 () (or @t531 @t95))
% 0.40/0.85  (define @t537 () (forall @t102 @t536))
% 0.40/0.85  (define @t538 () (=> @t537 @t534))
% 0.40/0.85  (define @t539 () (= @t5 @t494))
% 0.40/0.85  (define @t540 () (forall @t23 @t539))
% 0.40/0.85  (define @t541 () (and @t376 @t540))
% 0.40/0.85  (define @t542 () (=> @t541 @t538))
% 0.40/0.85  (define @t543 () (tptp.comp @t1 @t70))
% 0.40/0.85  (define @t544 () (= @t1 @t543))
% 0.40/0.85  (define @t545 () (forall @t46 @t544))
% 0.40/0.85  (define @t546 () (tptp.comp @t70 @t1))
% 0.40/0.85  (define @t547 () (= @t1 @t546))
% 0.40/0.85  (define @t548 () (forall @t46 @t547))
% 0.40/0.85  (define @t549 () (and @t382 @t548 @t545))
% 0.40/0.85  (define @t550 () (=> @t549 @t542))
% 0.40/0.85  (define @t551 () (tptp.push @t2 @t70))
% 0.40/0.85  (define @t552 () (tptp.sub @t5 @t551))
% 0.40/0.85  (define @t553 () (_ @t83 @t552))
% 0.40/0.85  (define @t554 () (or @t388 @t553))
% 0.40/0.85  (define @t555 () (forall @t154 @t554))
% 0.40/0.85  (define @t556 () (not @t555))
% 0.40/0.85  (define @t557 () (or @t556 @t386))
% 0.40/0.85  (define @t558 () (forall @t23 @t557))
% 0.40/0.85  (define @t559 () (not @t558))
% 0.40/0.85  (define @t560 () (or @t399 @t395 @t559 @t384))
% 0.40/0.85  (define @t561 () (forall @t400 @t560))
% 0.40/0.85  (define @t562 () (=> @t561 @t550))
% 0.40/0.85  (define @t563 () (or @t395 @t559 @t406 @t403))
% 0.40/0.85  (define @t564 () (forall @t407 @t563))
% 0.40/0.85  (define @t565 () (=> @t564 @t562))
% 0.40/0.85  (define @t566 () (=> @t418 @t565))
% 0.40/0.85  (define @t567 () (=> @t424 @t566))
% 0.40/0.85  (define @t568 () (=> @t426 @t567))
% 0.40/0.85  (define @t569 () (=> @t428 @t568))
% 0.40/0.85  (define @t570 () (=> @t430 @t569))
% 0.40/0.85  (define @t571 () (=> @t433 @t570))
% 0.40/0.85  (define @t572 () (=> @t435 @t571))
% 0.40/0.85  (define @t573 () (=> @t439 @t572))
% 0.40/0.85  (define @t574 () (=> @t440 @t573))
% 0.40/0.85  (define @t575 () (=> @t451 @t574))
% 0.40/0.85  (define @t576 () (=> @t453 @t575))
% 0.40/0.85  (define @t577 () (=> @t77 @t576))
% 0.40/0.85  (define @t578 () (=> @t460 @t577))
% 0.40/0.85  (define @t579 () (=> (= @t70 @t70) @t578))
% 0.40/0.85  (define @t580 () (=> @t545 @t579))
% 0.40/0.85  (define @t581 () (=> @t465 @t580))
% 0.40/0.85  (define @t582 () (=> @t382 @t581))
% 0.40/0.85  (define @t583 () (=> @t469 @t582))
% 0.40/0.85  (define @t584 () (=> @t548 @t583))
% 0.40/0.85  (define @t585 () (=> @t376 @t584))
% 0.40/0.85  (define @t586 () (=> @t478 @t585))
% 0.40/0.85  (define @t587 () (=> @t540 @t586))
% 0.40/0.85  (define @t588 () (=> @t482 @t587))
% 0.40/0.85  (define @t589 () (=> @t486 @t588))
% 0.40/0.85  (define @t590 () (_ @t244 tptp.id @t335 tptp.id))
% 0.40/0.85  (define @t591 () (_ @t244 tptp.id @t333 tptp.id))
% 0.40/0.85  (define @t592 () (not @t591))
% 0.40/0.85  (define @t593 () (_ @t244 tptp.id @t334 tptp.id))
% 0.40/0.85  (define @t594 () (not @t593))
% 0.40/0.85  (define @t595 () (tptp.sub @t5 tptp.id))
% 0.40/0.85  (define @t596 () (tptp.ap @t595 @t2))
% 0.40/0.85  (define @t597 () (_ @t244 tptp.id @t596 tptp.id))
% 0.40/0.85  (define @t598 () (_ @t244 tptp.id @t2 tptp.id))
% 0.40/0.85  (define @t599 () (not @t598))
% 0.40/0.85  (define @t600 () (_ @t244 tptp.id @t5 tptp.id))
% 0.40/0.85  (define @t601 () (not @t600))
% 0.40/0.85  (define @t602 () (or @t601 @t599 @t597))
% 0.40/0.85  (define @t603 () (forall @t110 @t602))
% 0.40/0.85  (define @t604 () (not @t603))
% 0.40/0.85  (define @t605 () (or @t347 @t345 @t604 @t594 @t592 @t590))
% 0.40/0.85  (define @t606 () (forall @t348 @t605))
% 0.40/0.85  (define @t607 () (tptp.sub @t596 tptp.id))
% 0.40/0.85  (define @t608 () (tptp.var @t607))
% 0.40/0.85  (define @t609 () (not @t608))
% 0.40/0.85  (define @t610 () (forall @t110 @t609))
% 0.40/0.85  (define @t611 () (=> @t610 @t606))
% 0.40/0.85  (define @t612 () (tptp.sub @t351 tptp.id))
% 0.40/0.85  (define @t613 () (tptp.var @t612))
% 0.40/0.85  (define @t614 () (not @t613))
% 0.40/0.85  (define @t615 () (or @t358 @t614))
% 0.40/0.85  (define @t616 () (forall @t225 @t615))
% 0.40/0.85  (define @t617 () (=> @t616 @t611))
% 0.40/0.85  (define @t618 () (tptp.sub @t360 tptp.id))
% 0.40/0.85  (define @t619 () (tptp.ap @t618 @t359))
% 0.40/0.85  (define @t620 () (= @t351 @t619))
% 0.40/0.85  (define @t621 () (not @t620))
% 0.40/0.85  (define @t622 () (or @t358 @t621))
% 0.40/0.85  (define @t623 () (forall @t361 @t622))
% 0.40/0.85  (define @t624 () (=> @t623 @t617))
% 0.40/0.85  (define @t625 () (=> @t370 @t624))
% 0.40/0.85  (define @t626 () (tptp.sub @t2 tptp.id))
% 0.40/0.85  (define @t627 () (tptp.ap @t626 @t96))
% 0.40/0.85  (define @t628 () (tptp.ap @t595 @t99))
% 0.40/0.85  (define @t629 () (= @t628 @t627))
% 0.40/0.85  (define @t630 () (not @t629))
% 0.40/0.85  (define @t631 () (or @t630 @t105))
% 0.40/0.85  (define @t632 () (forall @t102 @t631))
% 0.40/0.85  (define @t633 () (=> @t632 @t625))
% 0.40/0.85  (define @t634 () (or @t630 @t95))
% 0.40/0.85  (define @t635 () (forall @t102 @t634))
% 0.40/0.85  (define @t636 () (=> @t635 @t633))
% 0.40/0.85  (define @t637 () (= @t5 @t595))
% 0.40/0.85  (define @t638 () (forall @t23 @t637))
% 0.40/0.85  (define @t639 () (and @t376 @t638))
% 0.40/0.85  (define @t640 () (=> @t639 @t636))
% 0.40/0.85  (define @t641 () (tptp.comp @t1 tptp.id))
% 0.40/0.85  (define @t642 () (= @t1 @t641))
% 0.40/0.85  (define @t643 () (forall @t46 @t642))
% 0.40/0.85  (define @t644 () (tptp.comp tptp.id @t1))
% 0.40/0.85  (define @t645 () (= @t1 @t644))
% 0.40/0.85  (define @t646 () (forall @t46 @t645))
% 0.40/0.85  (define @t647 () (and @t382 @t646 @t643))
% 0.40/0.85  (define @t648 () (=> @t647 @t640))
% 0.40/0.85  (define @t649 () (tptp.push @t2 tptp.id))
% 0.40/0.85  (define @t650 () (tptp.sub @t5 @t649))
% 0.40/0.85  (define @t651 () (_ @t83 @t650))
% 0.40/0.85  (define @t652 () (or @t388 @t651))
% 0.40/0.85  (define @t653 () (forall @t154 @t652))
% 0.40/0.85  (define @t654 () (not @t653))
% 0.40/0.85  (define @t655 () (or @t654 @t386))
% 0.40/0.85  (define @t656 () (forall @t23 @t655))
% 0.40/0.85  (define @t657 () (not @t656))
% 0.40/0.85  (define @t658 () (or @t399 @t395 @t657 @t384))
% 0.40/0.85  (define @t659 () (forall @t400 @t658))
% 0.40/0.85  (define @t660 () (=> @t659 @t648))
% 0.40/0.85  (define @t661 () (or @t395 @t657 @t406 @t403))
% 0.40/0.85  (define @t662 () (forall @t407 @t661))
% 0.40/0.85  (define @t663 () (=> @t662 @t660))
% 0.40/0.85  (define @t664 () (=> @t418 @t663))
% 0.40/0.85  (define @t665 () (=> @t424 @t664))
% 0.40/0.85  (define @t666 () (=> @t426 @t665))
% 0.40/0.85  (define @t667 () (=> @t428 @t666))
% 0.40/0.85  (define @t668 () (=> @t430 @t667))
% 0.40/0.85  (define @t669 () (=> @t433 @t668))
% 0.40/0.85  (define @t670 () (=> @t435 @t669))
% 0.40/0.85  (define @t671 () (=> @t439 @t670))
% 0.40/0.85  (define @t672 () (=> @t440 @t671))
% 0.40/0.85  (define @t673 () (=> @t451 @t672))
% 0.40/0.85  (define @t674 () (=> @t453 @t673))
% 0.40/0.85  (define @t675 () (=> @t77 @t674))
% 0.40/0.85  (define @t676 () (=> @t460 @t675))
% 0.40/0.85  (define @t677 () (= tptp.id @t70))
% 0.40/0.85  (define @t678 () (=> @t677 @t676))
% 0.40/0.85  (define @t679 () (=> @t643 @t678))
% 0.40/0.85  (define @t680 () (=> @t465 @t679))
% 0.40/0.85  (define @t681 () (=> @t382 @t680))
% 0.40/0.85  (define @t682 () (=> @t469 @t681))
% 0.40/0.85  (define @t683 () (=> @t646 @t682))
% 0.40/0.85  (define @t684 () (=> @t376 @t683))
% 0.40/0.85  (define @t685 () (=> @t478 @t684))
% 0.40/0.85  (define @t686 () (=> @t638 @t685))
% 0.40/0.85  (define @t687 () (=> @t482 @t686))
% 0.40/0.85  (define @t688 () (or @t594 @t592 @t590))
% 0.40/0.85  (define @t689 () (or @t347 @t345 @t604 @t688))
% 0.40/0.85  (define @t690 () (forall @t348 @t689))
% 0.40/0.85  (define @t691 () (@list @t334 @t333))
% 0.40/0.85  (define @t692 () (forall @t691 @t689))
% 0.40/0.85  (define @t693 () (forall @t691 @t688))
% 0.40/0.85  (define @t694 () (@list @t5 @t2))
% 0.40/0.85  (define @t695 () (or @t347 @t345 @t604 @t693))
% 0.40/0.85  (define @t696 () (_ @t244 tptp.id @t390 tptp.id))
% 0.40/0.85  (define @t697 () (forall @t110 (or @t601 @t599 @t696)))
% 0.40/0.85  (define @t698 () (or @t347 @t345 @t604 @t697))
% 0.40/0.85  (define @t699 () (or @t345 @t604 @t697))
% 0.40/0.85  (define @t700 () (=> @t603 @t697))
% 0.40/0.85  (define @t701 () (=> @t344 @t700))
% 0.40/0.85  (define @t702 () (not @t261))
% 0.40/0.85  (define @t703 () (not @t249))
% 0.40/0.85  (define @t704 () (or @t703 @t702 @t269))
% 0.40/0.85  (define @t705 () (_ tptp.ap @t22))
% 0.40/0.85  (define @t706 () (_ @t705 @t2))
% 0.40/0.85  (define @t707 () (_ (_ @t248 @t706) tptp.id))
% 0.40/0.85  (define @t708 () (_ tptp.ap @t595))
% 0.40/0.85  (define @t709 () (or @t703 @t702 @t707))
% 0.40/0.85  (define @t710 () (=> @t261 @t707))
% 0.40/0.85  (define @t711 () (lambda @t154 @t706))
% 0.40/0.85  (define @t712 () (lambda (@list @t37 @t2) @t325))
% 0.40/0.85  (define @t713 () (lambda (@list @t5 @t37 @t2) @t325))
% 0.40/0.85  (define @t714 () (_ @t326 tptp.id))
% 0.40/0.85  (define @t715 () (_ (_ @t714 @t5) tptp.id))
% 0.40/0.85  (define @t716 () (_ @t715 @t2))
% 0.40/0.85  (define @t717 () (=> @t261 (_ (_ @t248 @t716) tptp.id)))
% 0.40/0.85  (define @t718 () (=> @t249 @t717))
% 0.40/0.85  (define @t719 () (forall @t110 @t718))
% 0.40/0.85  (define @t720 () (=> @t719 @t271))
% 0.40/0.85  (define @t721 () (not @t256))
% 0.40/0.85  (define @t722 () (or @t721 @t253))
% 0.40/0.85  (define @t723 () (=> @t258 @t720))
% 0.40/0.85  (define @t724 () (not @t253))
% 0.40/0.85  (define @t725 () (or @t724 @t256))
% 0.40/0.85  (define @t726 () (=> @t259 @t723))
% 0.40/0.85  (define @t727 () (forall @t246 @t726))
% 0.40/0.85  (define @t728 () (_ tptp.sub @t706))
% 0.40/0.85  (define @t729 () (_ @t728 tptp.id))
% 0.40/0.85  (define @t730 () (_ tptp.var @t729))
% 0.40/0.85  (define @t731 () (not @t730))
% 0.40/0.85  (define @t732 () (@list @t37))
% 0.40/0.85  (define @t733 () (lambda @t732 (_ tptp.var (_ @t728 @t37))))
% 0.40/0.85  (define @t734 () (lambda (@list @t5 @t37) @t329))
% 0.40/0.85  (define @t735 () (_ @t330 tptp.id))
% 0.40/0.85  (define @t736 () (not (_ (_ @t735 @t716) tptp.id)))
% 0.40/0.85  (define @t737 () (forall @t110 @t736))
% 0.40/0.85  (define @t738 () (_ tptp.sub @t327))
% 0.40/0.85  (define @t739 () (_ @t738 tptp.id))
% 0.40/0.85  (define @t740 () (_ tptp.var @t739))
% 0.40/0.85  (define @t741 () (not @t740))
% 0.40/0.85  (define @t742 () (or @t358 @t741))
% 0.40/0.85  (define @t743 () (lambda @t732 (_ tptp.var (_ @t738 @t37))))
% 0.40/0.85  (define @t744 () (lambda @t23 (_ @t315 @t5)))
% 0.40/0.85  (define @t745 () (_ @t208 tptp.sh))
% 0.40/0.85  (define @t746 () (lambda @t225 @t327))
% 0.40/0.85  (define @t747 () (_ @t328 tptp.id))
% 0.40/0.85  (define @t748 () (_ @t747 @t208))
% 0.40/0.85  (define @t749 () (not (_ (_ @t735 @t748) tptp.id)))
% 0.40/0.85  (define @t750 () (=> @t223 @t749))
% 0.40/0.85  (define @t751 () (forall @t225 @t750))
% 0.40/0.85  (define @t752 () (@list @t360 @t359))
% 0.40/0.85  (define @t753 () (forall @t752 @t622))
% 0.40/0.85  (define @t754 () (forall @t752 @t621))
% 0.40/0.85  (define @t755 () (or @t358 @t754))
% 0.40/0.85  (define @t756 () (forall @t110 (not (= @t351 @t596))))
% 0.40/0.85  (define @t757 () (= @t327 @t706))
% 0.40/0.85  (define @t758 () (not @t757))
% 0.40/0.85  (define @t759 () (lambda @t151 (_ @t315 @t99)))
% 0.40/0.85  (define @t760 () (_ @t229 tptp.sh))
% 0.40/0.85  (define @t761 () (= (_ @t747 @t229) @t716))
% 0.40/0.85  (define @t762 () (not @t761))
% 0.40/0.85  (define @t763 () (forall @t110 @t762))
% 0.40/0.85  (define @t764 () (=> @t223 @t763))
% 0.40/0.85  (define @t765 () (forall @t225 @t764))
% 0.40/0.85  (define @t766 () (or @t367 @t366 @t365))
% 0.40/0.85  (define @t767 () (or @t358 @t766))
% 0.40/0.85  (define @t768 () (forall @t369 @t767))
% 0.40/0.85  (define @t769 () (@list @t364 @t363 @t362))
% 0.40/0.85  (define @t770 () (forall @t769 @t767))
% 0.40/0.85  (define @t771 () (forall @t769 @t766))
% 0.40/0.85  (define @t772 () (@var "BOUND_VARIABLE_9563" tptp.term))
% 0.40/0.85  (define @t773 () (@var "BOUND_VARIABLE_9561" tptp.subst))
% 0.40/0.85  (define @t774 () (or @t358 @t771))
% 0.40/0.85  (define @t775 () (= (_ @t200 @t773 @t772) (_ @t198 @t773 @t772)))
% 0.40/0.85  (define @t776 () (_ @t198 tptp.sh tptp.one))
% 0.40/0.85  (define @t777 () (tptp.lam @t776))
% 0.40/0.85  (define @t778 () (not (= @t351 @t777)))
% 0.40/0.85  (define @t779 () (_ @t198 @t353 @t352))
% 0.40/0.85  (define @t780 () (_ @t198 @t1 @t5))
% 0.40/0.85  (define @t781 () (tptp.sub @t780 @t37))
% 0.40/0.85  (define @t782 () (forall @t215 (= @t781 @t779)))
% 0.40/0.85  (define @t783 () (not @t782))
% 0.40/0.85  (define @t784 () (or @t783 @t778 @t775))
% 0.40/0.85  (define @t785 () (forall (@list @t198 @t773 @t772) @t784))
% 0.40/0.85  (define @t786 () (@list @t773 @t772))
% 0.40/0.85  (define @t787 () (forall @t786 @t784))
% 0.40/0.85  (define @t788 () (forall @t786 @t775))
% 0.40/0.85  (define @t789 () (or @t783 @t778 @t788))
% 0.40/0.85  (define @t790 () (forall @t204 (= @t355 @t780)))
% 0.40/0.85  (define @t791 () (_ @t198 tptp.sh))
% 0.40/0.85  (define @t792 () (_ @t791 tptp.one))
% 0.40/0.85  (define @t793 () (_ tptp.lam @t792))
% 0.40/0.85  (define @t794 () (= @t327 @t793))
% 0.40/0.85  (define @t795 () (not @t794))
% 0.40/0.85  (define @t796 () (or @t783 @t795 @t790))
% 0.40/0.85  (define @t797 () (=> @t794 @t790))
% 0.40/0.85  (define @t798 () (lambda @t23 (_ @t791 @t5)))
% 0.40/0.85  (define @t799 () (_ @t206 tptp.sh))
% 0.40/0.85  (define @t800 () (= @t748 (_ @t747 @t206)))
% 0.40/0.85  (define @t801 () (=> @t800 @t205))
% 0.40/0.85  (define @t802 () (=> @t216 @t801))
% 0.40/0.85  (define @t803 () (forall @t218 @t802))
% 0.40/0.85  (define @t804 () (=> @t223 @t803))
% 0.40/0.85  (define @t805 () (forall @t225 @t804))
% 0.40/0.85  (define @t806 () (_ @t3 tptp.id))
% 0.40/0.85  (define @t807 () (_ tptp.ap @t806))
% 0.40/0.85  (define @t808 () (_ @t807 @t96))
% 0.40/0.85  (define @t809 () (_ @t705 @t99))
% 0.40/0.85  (define @t810 () (= @t809 @t808))
% 0.40/0.85  (define @t811 () (not @t810))
% 0.40/0.85  (define @t812 () (or @t811 @t105))
% 0.40/0.85  (define @t813 () (@var "BOUND_VARIABLE_9440" tptp.term))
% 0.40/0.85  (define @t814 () (lambda (@list @t813) (_ @t807 @t813)))
% 0.40/0.85  (define @t815 () (lambda (@list @t37 @t813) (_ (_ tptp.ap (_ @t3 @t37)) @t813)))
% 0.40/0.85  (define @t816 () (@list @t2))
% 0.40/0.85  (define @t817 () (= (_ @t715 @t99) (_ (_ (_ @t714 @t2) tptp.id) @t96)))
% 0.40/0.85  (define @t818 () (=> @t817 @t105))
% 0.40/0.85  (define @t819 () (forall @t102 @t818))
% 0.40/0.85  (define @t820 () (or @t811 @t95))
% 0.40/0.85  (define @t821 () (=> @t817 @t95))
% 0.40/0.85  (define @t822 () (forall @t102 @t821))
% 0.40/0.85  (define @t823 () (= @t5 @t22))
% 0.40/0.85  (define @t824 () (= @t1 @t67))
% 0.40/0.85  (define @t825 () (= @t1 @t45))
% 0.40/0.85  (define @t826 () (@list @t383))
% 0.40/0.85  (define @t827 () (forall @t826 @t658))
% 0.40/0.85  (define @t828 () (forall @t826 @t384))
% 0.40/0.85  (define @t829 () (@list @t5))
% 0.40/0.85  (define @t830 () (or @t399 @t395 @t657 @t828))
% 0.40/0.85  (define @t831 () (forall @t23 @t392))
% 0.40/0.85  (define @t832 () (or @t399 @t395 @t657 @t831))
% 0.40/0.85  (define @t833 () (or @t395 @t657 @t831))
% 0.40/0.85  (define @t834 () (=> @t656 @t831))
% 0.40/0.85  (define @t835 () (=> @t394 @t834))
% 0.40/0.85  (define @t836 () (or @t654 @t132))
% 0.40/0.85  (define @t837 () (not @t136))
% 0.40/0.85  (define @t838 () (or @t837 @t170))
% 0.40/0.85  (define @t839 () (not @t84))
% 0.40/0.85  (define @t840 () (or @t839 @t837 @t135))
% 0.40/0.85  (define @t841 () (not @t80))
% 0.40/0.85  (define @t842 () (or @t841 @t84))
% 0.40/0.85  (define @t843 () (or @t406 @t403))
% 0.40/0.85  (define @t844 () (or @t395 @t657 @t843))
% 0.40/0.85  (define @t845 () (forall @t407 @t844))
% 0.40/0.85  (define @t846 () (@list @t402 @t401))
% 0.40/0.85  (define @t847 () (forall @t846 @t844))
% 0.40/0.85  (define @t848 () (forall @t846 @t843))
% 0.40/0.85  (define @t849 () (or @t395 @t657 @t848))
% 0.40/0.85  (define @t850 () (_ @t83 @t374))
% 0.40/0.85  (define @t851 () (forall @t19 (or @t415 @t850)))
% 0.40/0.85  (define @t852 () (or @t395 @t657 @t851))
% 0.40/0.85  (define @t853 () (=> @t656 @t851))
% 0.40/0.85  (define @t854 () (or @t415 @t165))
% 0.40/0.85  (define @t855 () (not @t153))
% 0.40/0.85  (define @t856 () (or @t855 @t152))
% 0.40/0.85  (define @t857 () (or @t411 @t410))
% 0.40/0.85  (define @t858 () (or @t415 @t393 @t857))
% 0.40/0.85  (define @t859 () (forall @t417 @t858))
% 0.40/0.85  (define @t860 () (@list @t409))
% 0.40/0.85  (define @t861 () (forall @t860 @t858))
% 0.40/0.85  (define @t862 () (forall @t860 @t857))
% 0.40/0.85  (define @t863 () (or @t415 @t393 @t862))
% 0.40/0.85  (define @t864 () (tptp.sub @t2 @t408))
% 0.40/0.85  (define @t865 () (_ @t83 @t864))
% 0.40/0.85  (define @t866 () (forall @t154 (or @t405 @t865)))
% 0.40/0.85  (define @t867 () (or @t415 @t839 @t866))
% 0.40/0.85  (define @t868 () (=> @t84 @t866))
% 0.40/0.85  (define @t869 () (or @t855 @t157))
% 0.40/0.85  (define @t870 () (@list @t419))
% 0.40/0.85  (define @t871 () (forall @t870 @t423))
% 0.40/0.85  (define @t872 () (forall @t870 @t420))
% 0.40/0.85  (define @t873 () (or @t399 @t395 @t422 @t872))
% 0.40/0.85  (define @t874 () (or @t399 @t395 @t422 @t831))
% 0.40/0.85  (define @t875 () (or @t395 @t422 @t831))
% 0.40/0.85  (define @t876 () (=> @t421 @t831))
% 0.40/0.85  (define @t877 () (=> @t394 @t876))
% 0.40/0.85  (define @t878 () (or @t839 @t132))
% 0.40/0.85  (define @t879 () (not @t114))
% 0.40/0.85  (define @t880 () (or @t879 @t95))
% 0.40/0.85  (define @t881 () (not @t109))
% 0.40/0.85  (define @t882 () (or @t881 @t95))
% 0.40/0.85  (define @t883 () (not @t101))
% 0.40/0.85  (define @t884 () (or @t883 @t105))
% 0.40/0.85  (define @t885 () (or @t883 @t95))
% 0.40/0.85  (define @t886 () (or @t443 @t442))
% 0.40/0.85  (define @t887 () (or @t448 @t446 @t886))
% 0.40/0.85  (define @t888 () (forall @t450 @t887))
% 0.40/0.85  (define @t889 () (@list @t441))
% 0.40/0.85  (define @t890 () (forall @t889 @t887))
% 0.40/0.85  (define @t891 () (forall @t889 @t886))
% 0.40/0.85  (define @t892 () (or @t448 @t446 @t891))
% 0.40/0.85  (define @t893 () (not @t90))
% 0.40/0.85  (define @t894 () (or @t893 @t446 @t398))
% 0.40/0.85  (define @t895 () (=> @t445 @t398))
% 0.40/0.85  (define @t896 () (or @t841 @t839 @t86))
% 0.40/0.85  (define @t897 () (or @t841 @t79))
% 0.40/0.85  (define @t898 () (= @t1 @t74))
% 0.40/0.85  (define @t899 () (= @t1 @t50))
% 0.40/0.85  (define @t900 () (= @t5 @t18))
% 0.40/0.85  (define @t901 () (@quantifiers_skolemize @t349 0))
% 0.40/0.85  (define @t902 () (forall @t110 (or (not (_ @t901 @t332 @t5 @t332)) (not (_ @t901 @t332 @t2 @t332)) (_ @t901 @t332 @t337 @t332))))
% 0.40/0.85  (define @t903 () (@quantifiers_skolemize @t349 2))
% 0.40/0.85  (define @t904 () (@quantifiers_skolemize @t349 1))
% 0.40/0.85  (define @t905 () (tptp.ap @t904 @t903))
% 0.40/0.85  (define @t906 () (_ @t901 @t332 @t905 @t332))
% 0.40/0.85  (define @t907 () (_ @t901 @t332 @t903 @t332))
% 0.40/0.85  (define @t908 () (not @t907))
% 0.40/0.85  (define @t909 () (_ @t901 @t332 @t904 @t332))
% 0.40/0.85  (define @t910 () (not @t909))
% 0.40/0.85  (define @t911 () (not @t902))
% 0.40/0.85  (define @t912 () (_ @t901 @t1 @t5 @t339))
% 0.40/0.85  (define @t913 () (_ @t901 @t342 @t341 @t37))
% 0.40/0.85  (define @t914 () (or (not (forall @t257 (or (not @t912) @t913))) (not (forall @t257 (or (not @t913) @t912))) @t911 @t910 @t908 @t906))
% 0.40/0.85  (define @t915 () (@list true))
% 0.40/0.85  (define @t916 () (@list @t914))
% 0.40/0.85  (define @t917 () (_ @t901 @t332 (tptp.ap (tptp.sub @t904 @t332) @t903) @t332))
% 0.40/0.85  (define @t918 () (or @t910 @t908 @t917))
% 0.40/0.85  (define @t919 () (@list tptp.one tptp.sh))
% 0.40/0.85  (assume @p1 @t15)
% 0.40/0.85  (assume @p2 @t21)
% 0.40/0.85  (assume @p3 @t25)
% 0.40/0.85  (assume @p4 @t36)
% 0.40/0.85  (assume @p5 @t44)
% 0.40/0.85  (assume @p6 @t48)
% 0.40/0.85  (assume @p7 @t52)
% 0.40/0.85  (assume @p8 @t60)
% 0.40/0.85  (assume @p9 @t66)
% 0.40/0.85  (assume @p10 @t69)
% 0.40/0.85  (assume @p11 @t71)
% 0.40/0.85  (assume @p12 @t76)
% 0.40/0.85  (assume @p13 (= tptp.ulamvar1 @t77))
% 0.40/0.85  (assume @p14 @t82)
% 0.40/0.85  (assume @p15 @t94)
% 0.40/0.85  (assume @p16 @t104)
% 0.40/0.85  (assume @p17 @t107)
% 0.40/0.85  (assume @p18 @t112)
% 0.40/0.85  (assume @p19 @t116)
% 0.40/0.85  (assume @p20 @t122)
% 0.40/0.85  (assume @p21 @t126)
% 0.40/0.85  (assume @p22 @t130)
% 0.40/0.85  (assume @p23 @t142)
% 0.40/0.85  (assume @p24 (= tptp.pushprop_lem0 (forall @t146 (exists @t145 @t144))))
% 0.40/0.85  (assume @p25 (= tptp.pushprop_lem0_gthm (=> tptp.axapp (=> tptp.axvarcons (=> tptp.axvarid (=> tptp.axabs (=> tptp.axclos (=> tptp.axidl (=> tptp.axshiftcons (=> tptp.axassoc (=> tptp.axmap (=> tptp.axidr (=> tptp.axvarshift (=> tptp.axscons (=> tptp.ulamvar1 (=> tptp.ulamvarsh (=> tptp.ulamvarind (=> tptp.apinj1 (=> tptp.apinj2 (=> tptp.laminj (=> tptp.shinj (=> tptp.lamnotap (=> tptp.apnotvar (=> tptp.lamnotvar (=> tptp.induction tptp.pushprop_lem0)))))))))))))))))))))))))
% 0.40/0.85  (assume @p26 (= tptp.pushprop_lem0_lthm tptp.pushprop_lem0))
% 0.40/0.85  (assume @p27 (= tptp.pushprop_lem1 (forall (@list @t83 @t148 @t5 @t1 @t2) (=> @t84 (_ @t148 (_ @t6 (_ @t147 @t1)))))))
% 0.40/0.85  (assume @p28 (= tptp.pushprop_lem1_gthm (=> tptp.axapp (=> tptp.axvarcons (=> tptp.axvarid (=> tptp.axabs (=> tptp.axclos (=> tptp.axidl (=> tptp.axshiftcons (=> tptp.axassoc (=> tptp.axmap (=> tptp.axidr (=> tptp.axvarshift (=> tptp.axscons (=> tptp.ulamvar1 (=> tptp.ulamvarsh (=> tptp.ulamvarind (=> tptp.apinj1 (=> tptp.apinj2 (=> tptp.laminj (=> tptp.shinj (=> tptp.lamnotap (=> tptp.apnotvar (=> tptp.lamnotvar (=> tptp.induction tptp.pushprop_lem1)))))))))))))))))))))))))
% 0.40/0.85  (assume @p29 (= tptp.pushprop_lem1_lthm (=> tptp.axvarcons (=> tptp.axclos (=> tptp.axshiftcons (=> tptp.ulamvarind tptp.pushprop_lem1))))))
% 0.40/0.85  (assume @p30 (= tptp.pushprop_lem1v2 (forall @t149 (=> @t84 (=> @t144 (_ @t143 tptp.one))))))
% 0.40/0.85  (assume @p31 (= tptp.pushprop_lem1v2_gthm (=> tptp.axapp (=> tptp.axvarcons (=> tptp.axvarid (=> tptp.axabs (=> tptp.axclos (=> tptp.axidl (=> tptp.axshiftcons (=> tptp.axassoc (=> tptp.axmap (=> tptp.axidr (=> tptp.axvarshift (=> tptp.axscons (=> tptp.ulamvar1 (=> tptp.ulamvarsh (=> tptp.ulamvarind (=> tptp.apinj1 (=> tptp.apinj2 (=> tptp.laminj (=> tptp.shinj (=> tptp.lamnotap (=> tptp.apnotvar (=> tptp.lamnotvar (=> tptp.induction tptp.pushprop_lem1v2)))))))))))))))))))))))))
% 0.40/0.85  (assume @p32 (= tptp.pushprop_lem1v2_lthm (=> tptp.axvarcons tptp.pushprop_lem1v2)))
% 0.40/0.85  (assume @p33 (= tptp.pushprop_lem2v2 (forall @t149 (=> @t144 (=> @t155 (forall @t151 (=> (_ tptp.var @t99) (=> (_ @t143 @t99) (_ @t143 (_ @t150 tptp.sh))))))))))
% 0.40/0.85  (assume @p34 (= tptp.pushprop_lem2v2_gthm (=> tptp.axapp (=> tptp.axvarcons (=> tptp.axvarid (=> tptp.axabs (=> tptp.axclos (=> tptp.axidl (=> tptp.axshiftcons (=> tptp.axassoc (=> tptp.axmap (=> tptp.axidr (=> tptp.axvarshift (=> tptp.axscons (=> tptp.ulamvar1 (=> tptp.ulamvarsh (=> tptp.ulamvarind (=> tptp.apinj1 (=> tptp.apinj2 (=> tptp.laminj (=> tptp.shinj (=> tptp.lamnotap (=> tptp.apnotvar (=> tptp.lamnotvar (=> tptp.induction tptp.pushprop_lem2v2)))))))))))))))))))))))))
% 0.40/0.85  (assume @p35 (= tptp.pushprop_lem2v2_lthm (=> tptp.axclos (=> tptp.axshiftcons tptp.pushprop_lem2v2))))
% 0.40/0.85  (assume @p36 (= tptp.pushprop_lem3v2 (forall @t149 (=> @t144 (=> (forall @t154 (=> @t153 @t159)) @t158)))))
% 0.40/0.85  (assume @p37 (= tptp.pushprop_lem3v2_lthm tptp.pushprop_lem3v2))
% 0.40/0.85  (assume @p38 @t163)
% 0.40/0.85  (assume @p39 (= tptp.pushprop_gthm (=> tptp.axapp (=> tptp.axvarcons (=> tptp.axvarid (=> tptp.axabs (=> tptp.axclos (=> tptp.axidl (=> tptp.axshiftcons (=> tptp.axassoc (=> tptp.axmap (=> tptp.axidr (=> tptp.axvarshift (=> tptp.axscons (=> tptp.ulamvar1 (=> tptp.ulamvarsh (=> tptp.ulamvarind (=> tptp.apinj1 (=> tptp.apinj2 (=> tptp.laminj (=> tptp.shinj (=> tptp.lamnotap (=> tptp.apnotvar (=> tptp.lamnotvar (=> tptp.induction tptp.pushprop)))))))))))))))))))))))))
% 0.40/0.85  (assume @p40 (= tptp.pushprop_lthm_orig @t164))
% 0.40/0.85  (assume @p41 (= tptp.pushprop_lthm (=> tptp.pushprop_lem0 @t164)))
% 0.40/0.85  (assume @p42 @t177)
% 0.40/0.85  (assume @p43 (= tptp.induction2lem_gthm (=> tptp.axapp (=> tptp.axvarcons (=> tptp.axvarid (=> tptp.axabs (=> tptp.axclos (=> tptp.axidl (=> tptp.axshiftcons (=> tptp.axassoc (=> tptp.axmap (=> tptp.axidr (=> tptp.axvarshift (=> tptp.axscons (=> tptp.ulamvar1 (=> tptp.ulamvarsh (=> tptp.ulamvarind (=> tptp.apinj1 (=> tptp.apinj2 (=> tptp.laminj (=> tptp.shinj (=> tptp.lamnotap (=> tptp.apnotvar (=> tptp.lamnotvar @t178))))))))))))))))))))))))
% 0.40/0.85  (assume @p44 (= tptp.induction2lem_lthm (=> tptp.axapp (=> tptp.axvarcons (=> tptp.axabs (=> tptp.axclos (=> tptp.axshiftcons (=> tptp.axassoc (=> tptp.axmap (=> tptp.axidr @t178))))))))))
% 0.40/0.85  (assume @p45 @t183)
% 0.40/0.85  (assume @p46 (= tptp.induction2_gthm (=> tptp.axapp (=> tptp.axvarcons (=> tptp.axvarid (=> tptp.axabs (=> tptp.axclos (=> tptp.axidl (=> tptp.axshiftcons (=> tptp.axassoc (=> tptp.axmap (=> tptp.axidr (=> tptp.axvarshift (=> tptp.axscons (=> tptp.ulamvar1 (=> tptp.ulamvarsh (=> tptp.ulamvarind (=> tptp.apinj1 (=> tptp.apinj2 (=> tptp.laminj (=> tptp.shinj (=> tptp.lamnotap (=> tptp.apnotvar (=> tptp.lamnotvar (=> tptp.induction (=> tptp.pushprop @t184))))))))))))))))))))))))))
% 0.40/0.85  (assume @p47 (= tptp.induction2_lthm (=> tptp.axvarid @t184)))
% 0.40/0.85  (assume @p48 @t186)
% 0.40/0.85  (assume @p49 (= tptp.substmonoid_gthm (=> tptp.axapp (=> tptp.axvarcons (=> tptp.axvarid (=> tptp.axabs (=> tptp.axclos (=> tptp.axidl (=> tptp.axshiftcons (=> tptp.axassoc (=> tptp.axmap (=> tptp.axidr (=> tptp.axvarshift (=> tptp.axscons (=> tptp.ulamvar1 (=> tptp.ulamvarsh (=> tptp.ulamvarind (=> tptp.apinj1 (=> tptp.apinj2 (=> tptp.laminj (=> tptp.shinj (=> tptp.lamnotap (=> tptp.apnotvar (=> tptp.lamnotvar (=> tptp.induction (=> tptp.pushprop (=> tptp.induction2lem (=> tptp.induction2 tptp.substmonoid))))))))))))))))))))))))))))
% 0.40/0.85  (assume @p50 (= tptp.substmonoid_lthm (=> tptp.axidl (=> tptp.axassoc (=> tptp.axidr tptp.substmonoid)))))
% 0.40/0.85  (assume @p51 @t188)
% 0.40/0.85  (assume @p52 (= tptp.termmset_gthm (=> tptp.axapp (=> tptp.axvarcons (=> tptp.axvarid (=> tptp.axabs (=> tptp.axclos (=> tptp.axidl (=> tptp.axshiftcons (=> tptp.axassoc (=> tptp.axmap (=> tptp.axidr (=> tptp.axvarshift (=> tptp.axscons (=> tptp.ulamvar1 (=> tptp.ulamvarsh (=> tptp.ulamvarind (=> tptp.apinj1 (=> tptp.apinj2 (=> tptp.laminj (=> tptp.shinj (=> tptp.lamnotap (=> tptp.apnotvar (=> tptp.lamnotvar (=> tptp.induction (=> tptp.pushprop (=> tptp.induction2lem (=> tptp.induction2 (=> tptp.substmonoid tptp.termmset)))))))))))))))))))))))))))))
% 0.40/0.85  (assume @p53 (= tptp.termmset_lthm (=> tptp.axvarid (=> tptp.axclos tptp.termmset))))
% 0.40/0.85  (assume @p54 @t194)
% 0.40/0.85  (assume @p55 (= tptp.hoasapinj1_gthm (=> tptp.axapp (=> tptp.axvarcons (=> tptp.axvarid (=> tptp.axabs (=> tptp.axclos (=> tptp.axidl (=> tptp.axshiftcons (=> tptp.axassoc (=> tptp.axmap (=> tptp.axidr (=> tptp.axvarshift (=> tptp.axscons (=> tptp.ulamvar1 (=> tptp.ulamvarsh (=> tptp.ulamvarind (=> tptp.apinj1 (=> tptp.apinj2 (=> tptp.laminj (=> tptp.shinj (=> tptp.lamnotap (=> tptp.apnotvar (=> tptp.lamnotvar (=> tptp.induction (=> tptp.pushprop (=> tptp.induction2lem (=> tptp.induction2 (=> tptp.substmonoid (=> tptp.termmset tptp.hoasapinj1))))))))))))))))))))))))))))))
% 0.40/0.85  (assume @p56 (= tptp.hoasapinj1_lthm (=> tptp.axvarid (=> tptp.apinj1 tptp.hoasapinj1))))
% 0.40/0.85  (assume @p57 @t197)
% 0.40/0.85  (assume @p58 (= tptp.hoasapinj2_gthm (=> tptp.axapp (=> tptp.axvarcons (=> tptp.axvarid (=> tptp.axabs (=> tptp.axclos (=> tptp.axidl (=> tptp.axshiftcons (=> tptp.axassoc (=> tptp.axmap (=> tptp.axidr (=> tptp.axvarshift (=> tptp.axscons (=> tptp.ulamvar1 (=> tptp.ulamvarsh (=> tptp.ulamvarind (=> tptp.apinj1 (=> tptp.apinj2 (=> tptp.laminj (=> tptp.shinj (=> tptp.lamnotap (=> tptp.apnotvar (=> tptp.lamnotvar (=> tptp.induction (=> tptp.pushprop (=> tptp.induction2lem (=> tptp.induction2 (=> tptp.substmonoid (=> tptp.termmset (=> tptp.hoasapinj1 tptp.hoasapinj2)))))))))))))))))))))))))))))))
% 0.40/0.85  (assume @p59 (= tptp.hoasapinj2_lthm (=> tptp.apinj2 tptp.hoasapinj2)))
% 0.40/0.85  (assume @p60 @t227)
% 0.40/0.85  (assume @p61 (= tptp.hoaslaminj_gthm (=> tptp.axapp (=> tptp.axvarcons (=> tptp.axvarid (=> tptp.axabs (=> tptp.axclos (=> tptp.axidl (=> tptp.axshiftcons (=> tptp.axassoc (=> tptp.axmap (=> tptp.axidr (=> tptp.axvarshift (=> tptp.axscons (=> tptp.ulamvar1 (=> tptp.ulamvarsh (=> tptp.ulamvarind (=> tptp.apinj1 (=> tptp.apinj2 (=> tptp.laminj (=> tptp.shinj (=> tptp.lamnotap (=> tptp.apnotvar (=> tptp.lamnotvar (=> tptp.induction (=> tptp.pushprop (=> tptp.induction2lem (=> tptp.induction2 (=> tptp.substmonoid (=> tptp.termmset (=> tptp.hoasapinj1 (=> tptp.hoasapinj2 tptp.hoaslaminj))))))))))))))))))))))))))))))))
% 0.40/0.85  (assume @p62 (= tptp.hoaslaminj_lthm (=> tptp.axvarcons (=> tptp.axshiftcons (=> tptp.laminj tptp.hoaslaminj)))))
% 0.40/0.85  (assume @p63 @t235)
% 0.40/0.85  (assume @p64 (= tptp.hoaslamnotap_gthm (=> tptp.axapp (=> tptp.axvarcons (=> tptp.axvarid (=> tptp.axabs (=> tptp.axclos (=> tptp.axidl (=> tptp.axshiftcons (=> tptp.axassoc (=> tptp.axmap (=> tptp.axidr (=> tptp.axvarshift (=> tptp.axscons (=> tptp.ulamvar1 (=> tptp.ulamvarsh (=> tptp.ulamvarind (=> tptp.apinj1 (=> tptp.apinj2 (=> tptp.laminj (=> tptp.shinj (=> tptp.lamnotap (=> tptp.apnotvar (=> tptp.lamnotvar (=> tptp.induction (=> tptp.pushprop (=> tptp.induction2lem (=> tptp.induction2 (=> tptp.substmonoid (=> tptp.termmset (=> tptp.hoasapinj1 (=> tptp.hoasapinj2 (=> tptp.hoaslaminj tptp.hoaslamnotap)))))))))))))))))))))))))))))))))
% 0.40/0.85  (assume @p65 (= tptp.hoaslamnotap_lthm (=> tptp.lamnotap tptp.hoaslamnotap)))
% 0.40/0.85  (assume @p66 @t240)
% 0.40/0.85  (assume @p67 (= tptp.hoaslamnotvar_gthm (=> tptp.axapp (=> tptp.axvarcons (=> tptp.axvarid (=> tptp.axabs (=> tptp.axclos (=> tptp.axidl (=> tptp.axshiftcons (=> tptp.axassoc (=> tptp.axmap (=> tptp.axidr (=> tptp.axvarshift (=> tptp.axscons (=> tptp.ulamvar1 (=> tptp.ulamvarsh (=> tptp.ulamvarind (=> tptp.apinj1 (=> tptp.apinj2 (=> tptp.laminj (=> tptp.shinj (=> tptp.lamnotap (=> tptp.apnotvar (=> tptp.lamnotvar (=> tptp.induction (=> tptp.pushprop (=> tptp.induction2lem (=> tptp.induction2 (=> tptp.substmonoid (=> tptp.termmset (=> tptp.hoasapinj1 (=> tptp.hoasapinj2 (=> tptp.hoaslaminj (=> tptp.hoaslamnotap tptp.hoaslamnotvar))))))))))))))))))))))))))))))))))
% 0.40/0.85  (assume @p68 (= tptp.hoaslamnotvar_lthm (=> tptp.axvarid (=> tptp.lamnotvar tptp.hoaslamnotvar))))
% 0.40/0.85  (assume @p69 @t243)
% 0.40/0.85  (assume @p70 (= tptp.hoasapnotvar_gthm (=> tptp.axapp (=> tptp.axvarcons (=> tptp.axvarid (=> tptp.axabs (=> tptp.axclos (=> tptp.axidl (=> tptp.axshiftcons (=> tptp.axassoc (=> tptp.axmap (=> tptp.axidr (=> tptp.axvarshift (=> tptp.axscons (=> tptp.ulamvar1 (=> tptp.ulamvarsh (=> tptp.ulamvarind (=> tptp.apinj1 (=> tptp.apinj2 (=> tptp.laminj (=> tptp.shinj (=> tptp.lamnotap (=> tptp.apnotvar (=> tptp.lamnotvar (=> tptp.induction (=> tptp.pushprop (=> tptp.induction2lem (=> tptp.induction2 (=> tptp.substmonoid (=> tptp.termmset (=> tptp.hoasapinj1 (=> tptp.hoasapinj2 (=> tptp.hoaslaminj (=> tptp.hoaslamnotap (=> tptp.hoaslamnotvar tptp.hoasapnotvar)))))))))))))))))))))))))))))))))))
% 0.40/0.85  (assume @p71 (= tptp.hoasapnotvar_lthm (=> tptp.axvarid (=> tptp.apnotvar tptp.hoasapnotvar))))
% 0.40/0.85  (assume @p72 (= tptp.hoasinduction_lem0 (forall @t246 (exists @t145 @t245))))
% 0.40/0.85  (assume @p73 (= tptp.hoasinduction_lem0_lthm tptp.hoasinduction_lem0))
% 0.40/0.85  (assume @p74 (= tptp.hoasinduction_lem1v2 (forall @t260 (=> @t259 (=> @t258 (=> @t250 (=> @t245 (forall @t23 (=> @t80 @t247)))))))))
% 0.40/0.85  (assume @p75 (= tptp.hoasinduction_lem1v2_gthm (=> tptp.axapp (=> tptp.axvarcons (=> tptp.axvarid (=> tptp.axabs (=> tptp.axclos (=> tptp.axidl (=> tptp.axshiftcons (=> tptp.axassoc (=> tptp.axmap (=> tptp.axidr (=> tptp.axvarshift (=> tptp.axscons (=> tptp.ulamvar1 (=> tptp.ulamvarsh (=> tptp.ulamvarind (=> tptp.apinj1 (=> tptp.apinj2 (=> tptp.laminj (=> tptp.shinj (=> tptp.lamnotap (=> tptp.apnotvar (=> tptp.lamnotvar (=> tptp.induction (=> tptp.pushprop (=> tptp.induction2lem (=> tptp.induction2 (=> tptp.substmonoid (=> tptp.termmset (=> tptp.hoasapinj1 (=> tptp.hoasapinj2 (=> tptp.hoaslaminj (=> tptp.hoaslamnotap (=> tptp.hoaslamnotvar (=> tptp.hoasapnotvar tptp.hoasinduction_lem1v2))))))))))))))))))))))))))))))))))))
% 0.40/0.85  (assume @p76 (= tptp.hoasinduction_lem2v2 (forall @t260 (=> @t259 (=> @t258 (=> @t264 (=> @t245 (forall @t110 (=> @t247 (=> @t159 (_ @t143 @t10)))))))))))
% 0.40/0.85  (assume @p77 (= tptp.hoasinduction_lem2v2_gthm (=> tptp.axapp (=> tptp.axvarcons (=> tptp.axvarid (=> tptp.axabs (=> tptp.axclos (=> tptp.axidl (=> tptp.axshiftcons (=> tptp.axassoc (=> tptp.axmap (=> tptp.axidr (=> tptp.axvarshift (=> tptp.axscons (=> tptp.ulamvar1 (=> tptp.ulamvarsh (=> tptp.ulamvarind (=> tptp.apinj1 (=> tptp.apinj2 (=> tptp.laminj (=> tptp.shinj (=> tptp.lamnotap (=> tptp.apnotvar (=> tptp.lamnotvar (=> tptp.induction (=> tptp.pushprop (=> tptp.induction2lem (=> tptp.induction2 (=> tptp.substmonoid (=> tptp.termmset (=> tptp.hoasapinj1 (=> tptp.hoasapinj2 (=> tptp.hoaslaminj (=> tptp.hoaslamnotap (=> tptp.hoaslamnotvar (=> tptp.hoasapnotvar tptp.hoasinduction_lem2v2))))))))))))))))))))))))))))))))))))
% 0.40/0.85  (assume @p78 (= tptp.hoasinduction_lem3v2_f (forall @t154 (exists @t225 (forall @t19 (= @t202 @t156))))))
% 0.40/0.85  (assume @p79 (= tptp.hoasinduction_lem3v2_f_lthm tptp.hoasinduction_lem3v2_f))
% 0.40/0.85  (assume @p80 (= tptp.hoasinduction_lem3v2 (forall @t260 (=> @t259 (=> @t258 @t267)))))
% 0.40/0.85  (assume @p81 (= tptp.hoasinduction_lem3v2_gthm (=> tptp.axapp (=> tptp.axvarcons (=> tptp.axvarid (=> tptp.axabs (=> tptp.axclos (=> tptp.axidl (=> tptp.axshiftcons (=> tptp.axassoc (=> tptp.axmap (=> tptp.axidr (=> tptp.axvarshift (=> tptp.axscons (=> tptp.ulamvar1 (=> tptp.ulamvarsh (=> tptp.ulamvarind (=> tptp.apinj1 (=> tptp.apinj2 (=> tptp.laminj (=> tptp.shinj (=> tptp.lamnotap (=> tptp.apnotvar (=> tptp.lamnotvar (=> tptp.induction (=> tptp.pushprop (=> tptp.induction2lem (=> tptp.induction2 (=> tptp.substmonoid (=> tptp.termmset (=> tptp.hoasapinj1 (=> tptp.hoasapinj2 (=> tptp.hoaslaminj (=> tptp.hoaslamnotap (=> tptp.hoaslamnotvar (=> tptp.hoasapnotvar tptp.hoasinduction_lem3v2))))))))))))))))))))))))))))))))))))
% 0.40/0.85  (assume @p82 (= tptp.hoasinduction_lem3v2_lthm (=> tptp.axvarid (=> tptp.axvarshift (=> tptp.axclos (=> tptp.axmap tptp.hoasinduction_lem3v2))))))
% 0.40/0.85  (assume @p83 (= tptp.hoasinduction_lem3v2a (forall @t260 @t267)))
% 0.40/0.85  (assume @p84 (= tptp.hoasinduction_lem3v2a_lthm (=> tptp.hoasinduction_lem3v2_f (=> tptp.axvarid (=> tptp.axvarshift (=> tptp.axclos (=> tptp.axmap tptp.hoasinduction_lem3v2a)))))))
% 0.40/0.85  (assume @p85 (= tptp.hoasinduction_lem1 (forall @t246 (=> @t259 (=> @t258 (=> @t250 (forall @t23 (=> @t80 @t249))))))))
% 0.40/0.85  (assume @p86 (= tptp.hoasinduction_lem1_gthm @t268))
% 0.40/0.85  (assume @p87 (= tptp.hoasinduction_lem1_lthm @t268))
% 0.40/0.85  (assume @p88 @t276)
% 0.40/0.85  (assume @p89 @t311)
% 0.40/0.85  (assume @p90 (= tptp.hoasinduction_lem2_lthm @t310))
% 0.40/0.85  (assume @p91 (= tptp.hoasinduction_lem3aa (forall @t246 (=> @t266 @t313))))
% 0.40/0.85  (assume @p92 (= tptp.hoasinduction_lem3aa_lthm (=> tptp.axclos (=> tptp.axmap tptp.hoasinduction_lem3aa))))
% 0.40/0.85  (assume @p93 (= tptp.hoasinduction_lem3aaa (forall @t246 (=> (forall @t225 (=> (exists @t151 (forall @t215 (and (= @t221 (_ (_ tptp.sub (_ @t150 @t16)) @t37)) (= (_ @t150 @t62) @t220)))) @t265)) @t313))))
% 0.40/0.85  (assume @p94 (= tptp.hoasinduction_lem3 (forall @t246 (=> @t259 (=> @t258 @t314)))))
% 0.40/0.85  (assume @p95 (= tptp.hoasinduction_lem3_gthm (=> tptp.axapp (=> tptp.axvarcons (=> tptp.axvarid (=> tptp.axabs (=> tptp.axclos (=> tptp.axidl (=> tptp.axshiftcons (=> tptp.axassoc (=> tptp.axmap (=> tptp.axidr (=> tptp.axvarshift (=> tptp.axscons (=> tptp.ulamvar1 (=> tptp.ulamvarsh (=> tptp.ulamvarind (=> tptp.apinj1 (=> tptp.apinj2 (=> tptp.laminj (=> tptp.shinj (=> tptp.lamnotap (=> tptp.apnotvar (=> tptp.lamnotvar (=> tptp.induction (=> tptp.pushprop (=> tptp.induction2lem (=> tptp.induction2 (=> tptp.substmonoid (=> tptp.termmset (=> tptp.hoasapinj1 (=> tptp.hoasapinj2 (=> tptp.hoaslaminj (=> tptp.hoaslamnotap (=> tptp.hoaslamnotvar (=> tptp.hoasapnotvar (=> tptp.hoasinduction_lem1 (=> tptp.hoasinduction_lem2 tptp.hoasinduction_lem3))))))))))))))))))))))))))))))))))))))
% 0.40/0.85  (assume @p96 (= tptp.hoasinduction_lem3_lthm (=> tptp.axvarid (=> tptp.axvarshift (=> tptp.hoasinduction_lem3aa tptp.hoasinduction_lem3)))))
% 0.40/0.85  (assume @p97 (= tptp.hoasinduction_lem3a (forall @t246 @t314)))
% 0.40/0.85  (assume @p98 (= tptp.hoasinduction_lem3a_gthm (=> tptp.axapp (=> tptp.axvarcons (=> tptp.axvarid (=> tptp.axabs (=> tptp.axclos (=> tptp.axidl (=> tptp.axshiftcons (=> tptp.axassoc (=> tptp.axmap (=> tptp.axidr (=> tptp.axvarshift (=> tptp.axscons (=> tptp.ulamvar1 (=> tptp.ulamvarsh (=> tptp.ulamvarind (=> tptp.apinj1 (=> tptp.apinj2 (=> tptp.laminj (=> tptp.shinj (=> tptp.lamnotap (=> tptp.apnotvar (=> tptp.lamnotvar (=> tptp.induction (=> tptp.pushprop (=> tptp.induction2lem (=> tptp.induction2 (=> tptp.substmonoid (=> tptp.termmset (=> tptp.hoasapinj1 (=> tptp.hoasapinj2 (=> tptp.hoaslaminj (=> tptp.hoaslamnotap (=> tptp.hoaslamnotvar (=> tptp.hoasapnotvar (=> tptp.hoasinduction_lem1 (=> tptp.hoasinduction_lem2 tptp.hoasinduction_lem3a))))))))))))))))))))))))))))))))))))))
% 0.40/0.85  (assume @p99 (= tptp.hoasinduction_lem3a_lthm (=> tptp.axvarid (=> tptp.axvarshift (=> tptp.hoasinduction_lem3aa tptp.hoasinduction_lem3a)))))
% 0.40/0.85  (assume @p100 (= tptp.hoasinduction_lem3b (forall @t154 (exists @t225 (= (_ @t3 @t70) @t316)))))
% 0.40/0.85  (assume @p101 (= tptp.hoasinduction_lem3b_gthm (=> tptp.axapp (=> tptp.axvarcons (=> tptp.axvarid (=> tptp.axabs (=> tptp.axclos (=> tptp.axidl (=> tptp.axshiftcons (=> tptp.axassoc (=> tptp.axmap (=> tptp.axidr (=> tptp.axvarshift (=> tptp.axscons (=> tptp.ulamvar1 (=> tptp.ulamvarsh (=> tptp.ulamvarind (=> tptp.apinj1 (=> tptp.apinj2 (=> tptp.laminj (=> tptp.shinj (=> tptp.lamnotap (=> tptp.apnotvar (=> tptp.lamnotvar (=> tptp.induction (=> tptp.pushprop (=> tptp.induction2lem (=> tptp.induction2 (=> tptp.substmonoid (=> tptp.termmset (=> tptp.hoasapinj1 (=> tptp.hoasapinj2 (=> tptp.hoaslaminj (=> tptp.hoaslamnotap (=> tptp.hoaslamnotvar (=> tptp.hoasapnotvar (=> tptp.hoasinduction_lem1 (=> tptp.hoasinduction_lem2 tptp.hoasinduction_lem3b))))))))))))))))))))))))))))))))))))))
% 0.40/0.85  (assume @p102 (= tptp.hoasinduction_lem3b_lthm tptp.hoasinduction_lem3b))
% 0.40/0.85  (assume @p103 (= tptp.hoasinduction (forall @t246 (=> @t259 (=> @t258 (=> @t250 @t317))))))
% 0.40/0.85  (assume @p104 (= tptp.hoasinduction_gthm (=> tptp.axapp (=> tptp.axvarcons (=> tptp.axvarid (=> tptp.axabs (=> tptp.axclos (=> tptp.axidl (=> tptp.axshiftcons (=> tptp.axassoc (=> tptp.axmap (=> tptp.axidr (=> tptp.axvarshift (=> tptp.axscons (=> tptp.ulamvar1 (=> tptp.ulamvarsh (=> tptp.ulamvarind (=> tptp.apinj1 (=> tptp.apinj2 (=> tptp.laminj (=> tptp.shinj (=> tptp.lamnotap (=> tptp.apnotvar (=> tptp.lamnotvar (=> tptp.induction (=> tptp.pushprop (=> tptp.induction2lem (=> tptp.induction2 (=> tptp.substmonoid (=> tptp.termmset (=> tptp.hoasapinj1 (=> tptp.hoasapinj2 (=> tptp.hoaslaminj (=> tptp.hoaslamnotap (=> tptp.hoaslamnotvar (=> tptp.hoasapnotvar @t318))))))))))))))))))))))))))))))))))))
% 0.40/0.85  (assume @p105 (= tptp.hoasinduction_lthm (=> tptp.induction2 @t318)))
% 0.40/0.85  (assume @p106 (= tptp.hoasinduction_lthm_3 (=> tptp.hoasinduction_lem0 (=> tptp.induction2 (=> tptp.axvarid (=> tptp.hoasinduction_lem3v2a tptp.hoasinduction))))))
% 0.40/0.85  (assume @p107 (= tptp.hoasinduction_no_psi_cond (forall @t246 @t317)))
% 0.40/0.85  (assume @p108 (= tptp.hoasinduction_no_psi_cond_lthm (=> tptp.hoasinduction_lem0 (=> tptp.induction2 (=> tptp.axvarid (=> tptp.hoasinduction_lem3v2a tptp.hoasinduction_no_psi_cond))))))
% 0.40/0.85  (assume @p109 @t319)
% 0.40/0.85  (assume @p110 true)
% 0.40/0.85  (step @p111 (= tptp.pushprop_p_and_p_prime @t323) :rule refl :args (@t323))
% 0.40/0.85  (step @p112 (= tptp.hoasap @t326) :rule refl :args (@t326))
% 0.40/0.85  (step @p113 (= tptp.hoaslam @t328) :rule refl :args (@t328))
% 0.40/0.85  (step @p114 (= tptp.hoasvar @t330) :rule refl :args (@t330))
% 0.40/0.85  (step @p115 (= tptp.hoasinduction_p_and_p_prime @t331) :rule refl :args (@t331))
% 0.40/0.85  (step @p116 :rule evaluate :args ((= false true)))
% 0.40/0.85  (step @p117 :rule refl :args (@t454))
% 0.40/0.85  (step @p118 :rule refl :args (@t455))
% 0.40/0.85  (step @p119 :rule refl :args (@t77))
% 0.40/0.85  (step @p120 :rule cong :premises (@p119 @p118) :args ((= @t77 @t455)))
% 0.40/0.85  (step @p121 :rule symm :premises (@p120))
% 0.40/0.85  (step @p122 :rule eq_resolve :premises (@p119 @p121))
% 0.40/0.85  (step @p123 :rule cong :premises (@p122 @p117) :args (@t456))
% 0.40/0.85  (step @p124 :rule refl :args (@t460))
% 0.40/0.85  (step @p125 :rule cong :premises (@p124 @p123) :args (@t461))
% 0.40/0.85  (step @p126 :rule refl :args (@t377))
% 0.40/0.85  (step @p127 :rule cong :premises (@p126 @p125) :args (@t462))
% 0.40/0.85  (step @p128 :rule refl :args (@t465))
% 0.40/0.85  (step @p129 :rule cong :premises (@p128 @p127) :args (@t466))
% 0.40/0.85  (step @p130 :rule refl :args (@t382))
% 0.40/0.85  (step @p131 :rule cong :premises (@p130 @p129) :args (@t467))
% 0.40/0.85  (step @p132 :rule refl :args (@t469))
% 0.40/0.85  (step @p133 :rule cong :premises (@p132 @p131) :args (@t470))
% 0.40/0.85  (step @p134 :rule refl :args (@t378))
% 0.40/0.85  (step @p135 :rule cong :premises (@p134 @p133) :args (@t471))
% 0.40/0.85  (step @p136 :rule refl :args (@t376))
% 0.40/0.85  (step @p137 :rule cong :premises (@p136 @p135) :args (@t472))
% 0.40/0.85  (step @p138 :rule refl :args (@t478))
% 0.40/0.85  (step @p139 :rule cong :premises (@p138 @p137) :args (@t479))
% 0.40/0.85  (step @p140 :rule refl :args (@t372))
% 0.40/0.85  (step @p141 :rule cong :premises (@p140 @p139) :args (@t480))
% 0.40/0.85  (step @p142 :rule refl :args (@t482))
% 0.40/0.85  (step @p143 :rule cong :premises (@p142 @p141) :args (@t483))
% 0.40/0.85  (step @p144 :rule refl :args (@t486))
% 0.40/0.85  (step @p145 :rule cong :premises (@p144 @p143) :args (@t487))
% 0.40/0.85  (step @p146 :rule cong :premises (@p145) :args ((not @t487)))
% 0.40/0.85  (step @p147 :rule bool-impl-true2 :args (@t461))
% 0.40/0.85  (step @p148 :rule refl :args (@t332))
% 0.40/0.85  (step @p149 :rule refl :args (@t70))
% 0.40/0.85  (step @p150 :rule cong :premises (@p149 @p148) :args ((= @t70 @t332)))
% 0.40/0.85  (step @p151 :rule symm :premises (@p150))
% 0.40/0.85  (step @p152 :rule eq_resolve :premises (@p149 @p151))
% 0.40/0.85  (step @p153 :rule refl :args (@t335))
% 0.40/0.85  (step @p154 :rule cong :premises (@p152 @p153 @p152) :args (@t488))
% 0.40/0.85  (step @p155 :rule refl :args (@t333))
% 0.40/0.85  (step @p156 :rule cong :premises (@p152 @p155 @p152) :args (@t489))
% 0.40/0.85  (step @p157 :rule cong :premises (@p156) :args (@t490))
% 0.40/0.85  (step @p158 :rule refl :args (@t334))
% 0.40/0.85  (step @p159 :rule cong :premises (@p152 @p158 @p152) :args (@t491))
% 0.40/0.85  (step @p160 :rule cong :premises (@p159) :args (@t492))
% 0.40/0.85  (step @p161 :rule refl :args (@t338))
% 0.40/0.85  (step @p162 :rule refl :args (@t345))
% 0.40/0.85  (step @p163 :rule refl :args (@t347))
% 0.40/0.85  (step @p164 :rule nary_cong :premises (@p163 @p162 @p161 @p160 @p157 @p154) :args (@t493))
% 0.40/0.85  (step @p165 :rule cong :premises (@p164) :args ((forall @t348 @t493)))
% 0.40/0.85  (step @p166 :rule refl :args (@t488))
% 0.40/0.85  (step @p167 :rule refl :args (@t490))
% 0.40/0.85  (step @p168 :rule refl :args (@t492))
% 0.40/0.85  (step @p169 :rule refl :args (@t2))
% 0.40/0.85  (step @p170 :rule refl :args (@t5))
% 0.40/0.85  (step @p171 :rule cong :premises (@p170 @p152) :args (@t494))
% 0.40/0.85  (step @p172 :rule cong :premises (@p171 @p169) :args (@t495))
% 0.40/0.85  (step @p173 :rule cong :premises (@p152 @p172 @p152) :args (@t496))
% 0.40/0.85  (step @p174 :rule cong :premises (@p152 @p169 @p152) :args (@t497))
% 0.40/0.85  (step @p175 :rule cong :premises (@p174) :args (@t498))
% 0.40/0.85  (step @p176 :rule cong :premises (@p152 @p170 @p152) :args (@t499))
% 0.40/0.85  (step @p177 :rule cong :premises (@p176) :args (@t500))
% 0.40/0.85  (step @p178 :rule nary_cong :premises (@p177 @p175 @p173) :args (@t501))
% 0.40/0.85  (step @p179 :rule cong :premises (@p178) :args (@t502))
% 0.40/0.85  (step @p180 :rule cong :premises (@p179) :args (@t503))
% 0.40/0.85  (step @p181 :rule refl :args (@t345))
% 0.40/0.85  (step @p182 :rule refl :args (@t347))
% 0.40/0.85  (step @p183 :rule nary_cong :premises (@p182 @p181 @p180 @p168 @p167 @p166) :args (@t504))
% 0.40/0.85  (step @p184 :rule cong :premises (@p183) :args (@t505))
% 0.40/0.85  (step @p185 :rule trans :premises (@p184 @p165))
% 0.40/0.85  (step @p186 :rule cong :premises (@p172 @p152) :args (@t506))
% 0.40/0.85  (step @p187 :rule cong :premises (@p186) :args (@t507))
% 0.40/0.85  (step @p188 :rule cong :premises (@p187) :args (@t508))
% 0.40/0.85  (step @p189 :rule cong :premises (@p188) :args (@t509))
% 0.40/0.85  (step @p190 :rule cong :premises (@p189 @p185) :args (@t510))
% 0.40/0.85  (step @p191 :rule refl :args (@t351))
% 0.40/0.85  (step @p192 :rule cong :premises (@p191 @p152) :args (@t511))
% 0.40/0.85  (step @p193 :rule cong :premises (@p192) :args (@t512))
% 0.40/0.85  (step @p194 :rule cong :premises (@p193) :args (@t513))
% 0.40/0.85  (step @p195 :rule refl :args (@t358))
% 0.40/0.85  (step @p196 :rule nary_cong :premises (@p195 @p194) :args (@t514))
% 0.40/0.85  (step @p197 :rule cong :premises (@p196) :args (@t515))
% 0.40/0.85  (step @p198 :rule cong :premises (@p197 @p190) :args (@t516))
% 0.40/0.85  (step @p199 :rule refl :args (@t359))
% 0.40/0.85  (step @p200 :rule refl :args (@t360))
% 0.40/0.85  (step @p201 :rule cong :premises (@p200 @p152) :args (@t517))
% 0.40/0.85  (step @p202 :rule cong :premises (@p201 @p199) :args (@t518))
% 0.40/0.85  (step @p203 :rule cong :premises (@p191 @p202) :args (@t519))
% 0.40/0.85  (step @p204 :rule cong :premises (@p203) :args (@t520))
% 0.40/0.85  (step @p205 :rule nary_cong :premises (@p195 @p204) :args (@t521))
% 0.40/0.85  (step @p206 :rule cong :premises (@p205) :args (@t522))
% 0.40/0.85  (step @p207 :rule cong :premises (@p206 @p198) :args (@t523))
% 0.40/0.85  (step @p208 :rule refl :args (@t370))
% 0.40/0.85  (step @p209 :rule cong :premises (@p208 @p207) :args (@t524))
% 0.40/0.85  (step @p210 :rule refl :args (@t105))
% 0.40/0.85  (step @p211 :rule refl :args (@t99))
% 0.40/0.85  (step @p212 :rule cong :premises (@p171 @p211) :args (@t525))
% 0.40/0.85  (step @p213 :rule refl :args (@t96))
% 0.40/0.85  (step @p214 :rule cong :premises (@p169 @p152) :args (@t526))
% 0.40/0.85  (step @p215 :rule cong :premises (@p214 @p213) :args (@t527))
% 0.40/0.85  (step @p216 :rule cong :premises (@p215 @p212) :args (@t528))
% 0.40/0.85  (step @p217 :rule cong :premises (@p216) :args (@t529))
% 0.40/0.85  (step @p218 :rule nary_cong :premises (@p217 @p210) :args (@t530))
% 0.40/0.85  (step @p219 :rule cong :premises (@p218) :args ((forall @t102 @t530)))
% 0.40/0.85  (step @p220 :rule refl :args (@t105))
% 0.40/0.85  (step @p221 :rule eq-symm :args (@t525 @t527))
% 0.40/0.85  (step @p222 :rule cong :premises (@p221) :args (@t531))
% 0.40/0.85  (step @p223 :rule nary_cong :premises (@p222 @p220) :args (@t532))
% 0.40/0.85  (step @p224 :rule cong :premises (@p223) :args (@t533))
% 0.40/0.85  (step @p225 :rule trans :premises (@p224 @p219))
% 0.40/0.85  (step @p226 :rule cong :premises (@p225 @p209) :args (@t534))
% 0.40/0.85  (step @p227 :rule refl :args (@t95))
% 0.40/0.85  (step @p228 :rule nary_cong :premises (@p217 @p227) :args (@t535))
% 0.40/0.85  (step @p229 :rule cong :premises (@p228) :args ((forall @t102 @t535)))
% 0.40/0.85  (step @p230 :rule refl :args (@t95))
% 0.40/0.85  (step @p231 :rule nary_cong :premises (@p222 @p230) :args (@t536))
% 0.40/0.85  (step @p232 :rule cong :premises (@p231) :args (@t537))
% 0.40/0.85  (step @p233 :rule trans :premises (@p232 @p229))
% 0.40/0.85  (step @p234 :rule cong :premises (@p233 @p226) :args (@t538))
% 0.40/0.85  (step @p235 :rule cong :premises (@p170 @p171) :args (@t539))
% 0.40/0.85  (step @p236 :rule cong :premises (@p235) :args (@t540))
% 0.40/0.85  (step @p237 :rule nary_cong :premises (@p136 @p236) :args (@t541))
% 0.40/0.85  (step @p238 :rule cong :premises (@p237 @p234) :args (@t542))
% 0.40/0.85  (step @p239 :rule refl :args (@t1))
% 0.40/0.85  (step @p240 :rule cong :premises (@p239 @p152) :args (@t543))
% 0.40/0.85  (step @p241 :rule cong :premises (@p239 @p240) :args (@t544))
% 0.40/0.85  (step @p242 :rule cong :premises (@p241) :args (@t545))
% 0.40/0.85  (step @p243 :rule cong :premises (@p152 @p239) :args (@t546))
% 0.40/0.85  (step @p244 :rule cong :premises (@p239 @p243) :args (@t547))
% 0.40/0.85  (step @p245 :rule cong :premises (@p244) :args (@t548))
% 0.40/0.85  (step @p246 :rule nary_cong :premises (@p130 @p245 @p242) :args (@t549))
% 0.40/0.85  (step @p247 :rule cong :premises (@p246 @p238) :args (@t550))
% 0.40/0.85  (step @p248 :rule refl :args (@t384))
% 0.40/0.85  (step @p249 :rule refl :args (@t386))
% 0.40/0.85  (step @p250 :rule cong :premises (@p169 @p152) :args (@t551))
% 0.40/0.85  (step @p251 :rule cong :premises (@p170 @p250) :args (@t552))
% 0.40/0.85  (step @p252 :rule cong :premises (@p251) :args (@t553))
% 0.40/0.85  (step @p253 :rule refl :args (@t388))
% 0.40/0.85  (step @p254 :rule nary_cong :premises (@p253 @p252) :args (@t554))
% 0.40/0.85  (step @p255 :rule cong :premises (@p254) :args (@t555))
% 0.40/0.85  (step @p256 :rule cong :premises (@p255) :args (@t556))
% 0.40/0.85  (step @p257 :rule nary_cong :premises (@p256 @p249) :args (@t557))
% 0.40/0.85  (step @p258 :rule cong :premises (@p257) :args (@t558))
% 0.40/0.85  (step @p259 :rule cong :premises (@p258) :args (@t559))
% 0.40/0.85  (step @p260 :rule refl :args (@t395))
% 0.40/0.85  (step @p261 :rule refl :args (@t399))
% 0.40/0.85  (step @p262 :rule nary_cong :premises (@p261 @p260 @p259 @p248) :args (@t560))
% 0.40/0.85  (step @p263 :rule cong :premises (@p262) :args (@t561))
% 0.40/0.85  (step @p264 :rule cong :premises (@p263 @p247) :args (@t562))
% 0.40/0.85  (step @p265 :rule refl :args (@t403))
% 0.40/0.85  (step @p266 :rule refl :args (@t406))
% 0.40/0.85  (step @p267 :rule nary_cong :premises (@p260 @p259 @p266 @p265) :args (@t563))
% 0.40/0.85  (step @p268 :rule cong :premises (@p267) :args (@t564))
% 0.40/0.85  (step @p269 :rule cong :premises (@p268 @p264) :args (@t565))
% 0.40/0.85  (step @p270 :rule refl :args (@t418))
% 0.40/0.85  (step @p271 :rule cong :premises (@p270 @p269) :args (@t566))
% 0.40/0.85  (step @p272 :rule refl :args (@t424))
% 0.40/0.85  (step @p273 :rule cong :premises (@p272 @p271) :args (@t567))
% 0.40/0.85  (step @p274 :rule refl :args (@t426))
% 0.40/0.85  (step @p275 :rule cong :premises (@p274 @p273) :args (@t568))
% 0.40/0.85  (step @p276 :rule refl :args (@t428))
% 0.40/0.85  (step @p277 :rule cong :premises (@p276 @p275) :args (@t569))
% 0.40/0.85  (step @p278 :rule refl :args (@t430))
% 0.40/0.85  (step @p279 :rule cong :premises (@p278 @p277) :args (@t570))
% 0.40/0.85  (step @p280 :rule refl :args (@t433))
% 0.40/0.85  (step @p281 :rule cong :premises (@p280 @p279) :args (@t571))
% 0.40/0.85  (step @p282 :rule refl :args (@t435))
% 0.40/0.85  (step @p283 :rule cong :premises (@p282 @p281) :args (@t572))
% 0.40/0.85  (step @p284 :rule refl :args (@t439))
% 0.40/0.85  (step @p285 :rule cong :premises (@p284 @p283) :args (@t573))
% 0.40/0.85  (step @p286 :rule refl :args (@t440))
% 0.40/0.85  (step @p287 :rule cong :premises (@p286 @p285) :args (@t574))
% 0.40/0.85  (step @p288 :rule refl :args (@t451))
% 0.40/0.85  (step @p289 :rule cong :premises (@p288 @p287) :args (@t575))
% 0.40/0.85  (step @p290 :rule refl :args (@t453))
% 0.40/0.85  (step @p291 :rule cong :premises (@p290 @p289) :args (@t576))
% 0.40/0.85  (step @p292 :rule refl :args (@t77))
% 0.40/0.85  (step @p293 :rule cong :premises (@p292 @p291) :args (@t577))
% 0.40/0.85  (step @p294 :rule cong :premises (@p124 @p293) :args (@t578))
% 0.40/0.85  (step @p295 :rule eq-refl :args (@t70))
% 0.40/0.85  (step @p296 :rule cong :premises (@p295 @p294) :args (@t579))
% 0.40/0.85  (step @p297 :rule trans :premises (@p296 @p147))
% 0.40/0.85  (step @p298 :rule cong :premises (@p242 @p297) :args (@t580))
% 0.40/0.85  (step @p299 :rule cong :premises (@p128 @p298) :args (@t581))
% 0.40/0.85  (step @p300 :rule cong :premises (@p130 @p299) :args (@t582))
% 0.40/0.85  (step @p301 :rule cong :premises (@p132 @p300) :args (@t583))
% 0.40/0.85  (step @p302 :rule cong :premises (@p245 @p301) :args (@t584))
% 0.40/0.85  (step @p303 :rule cong :premises (@p136 @p302) :args (@t585))
% 0.40/0.85  (step @p304 :rule cong :premises (@p138 @p303) :args (@t586))
% 0.40/0.85  (step @p305 :rule cong :premises (@p236 @p304) :args (@t587))
% 0.40/0.85  (step @p306 :rule cong :premises (@p142 @p305) :args (@t588))
% 0.40/0.85  (step @p307 :rule cong :premises (@p144 @p306) :args (@t589))
% 0.40/0.85  (step @p308 :rule cong :premises (@p307) :args ((not @t589)))
% 0.40/0.85  (step @p309 :rule eq-symm :args (@t70 tptp.id))
% 0.40/0.85  (step @p310 :rule refl :args (tptp.axvarshift))
% 0.40/0.85  (step @p311 :rule cong :premises (@p310 @p309) :args (@t71))
% 0.40/0.85  (step @p312 :rule eq_resolve :premises (@p11 @p311))
% 0.40/0.85  (step @p313 :rule equiv_elim2 :premises (@p89))
% 0.40/0.85  (step @p314 :rule resolution :premises (@p313 @p109) :args (true tptp.hoasinduction_lem2_gthm))
% 0.40/0.85  (step @p315 :rule not_implies_elim2 :premises (@p314))
% 0.40/0.85  (step @p316 :rule not_implies_elim2 :premises (@p315))
% 0.40/0.85  (step @p317 :rule not_implies_elim2 :premises (@p316))
% 0.40/0.85  (step @p318 :rule not_implies_elim2 :premises (@p317))
% 0.40/0.85  (step @p319 :rule not_implies_elim2 :premises (@p318))
% 0.40/0.85  (step @p320 :rule not_implies_elim2 :premises (@p319))
% 0.40/0.85  (step @p321 :rule not_implies_elim2 :premises (@p320))
% 0.40/0.85  (step @p322 :rule not_implies_elim2 :premises (@p321))
% 0.40/0.85  (step @p323 :rule not_implies_elim2 :premises (@p322))
% 0.40/0.85  (step @p324 :rule not_implies_elim2 :premises (@p323))
% 0.40/0.85  (step @p325 :rule not_implies_elim1 :premises (@p324))
% 0.40/0.85  (step @p326 :rule eq_resolve :premises (@p325 @p312))
% 0.40/0.85  (step @p327 :rule refl :args (@t335))
% 0.40/0.85  (step @p328 :rule cong :premises (@p326 @p327 @p326) :args (@t590))
% 0.40/0.85  (step @p329 :rule refl :args (@t333))
% 0.40/0.85  (step @p330 :rule cong :premises (@p326 @p329 @p326) :args (@t591))
% 0.40/0.85  (step @p331 :rule cong :premises (@p330) :args (@t592))
% 0.40/0.85  (step @p332 :rule refl :args (@t334))
% 0.40/0.85  (step @p333 :rule cong :premises (@p326 @p332 @p326) :args (@t593))
% 0.40/0.85  (step @p334 :rule cong :premises (@p333) :args (@t594))
% 0.40/0.85  (step @p335 :rule refl :args (@t2))
% 0.40/0.85  (step @p336 :rule refl :args (@t5))
% 0.40/0.85  (step @p337 :rule cong :premises (@p336 @p326) :args (@t595))
% 0.40/0.85  (step @p338 :rule cong :premises (@p337 @p335) :args (@t596))
% 0.40/0.85  (step @p339 :rule cong :premises (@p326 @p338 @p326) :args (@t597))
% 0.40/0.85  (step @p340 :rule cong :premises (@p326 @p335 @p326) :args (@t598))
% 0.40/0.85  (step @p341 :rule cong :premises (@p340) :args (@t599))
% 0.40/0.85  (step @p342 :rule cong :premises (@p326 @p336 @p326) :args (@t600))
% 0.40/0.85  (step @p343 :rule cong :premises (@p342) :args (@t601))
% 0.40/0.85  (step @p344 :rule nary_cong :premises (@p343 @p341 @p339) :args (@t602))
% 0.40/0.85  (step @p345 :rule cong :premises (@p344) :args (@t603))
% 0.40/0.85  (step @p346 :rule cong :premises (@p345) :args (@t604))
% 0.40/0.85  (step @p347 :rule nary_cong :premises (@p182 @p181 @p346 @p334 @p331 @p328) :args (@t605))
% 0.40/0.85  (step @p348 :rule cong :premises (@p347) :args (@t606))
% 0.40/0.85  (step @p349 :rule cong :premises (@p338 @p326) :args (@t607))
% 0.40/0.85  (step @p350 :rule cong :premises (@p349) :args (@t608))
% 0.40/0.85  (step @p351 :rule cong :premises (@p350) :args (@t609))
% 0.40/0.85  (step @p352 :rule cong :premises (@p351) :args (@t610))
% 0.40/0.85  (step @p353 :rule cong :premises (@p352 @p348) :args (@t611))
% 0.40/0.85  (step @p354 :rule refl :args (@t351))
% 0.40/0.85  (step @p355 :rule cong :premises (@p354 @p326) :args (@t612))
% 0.40/0.85  (step @p356 :rule cong :premises (@p355) :args (@t613))
% 0.40/0.85  (step @p357 :rule cong :premises (@p356) :args (@t614))
% 0.40/0.85  (step @p358 :rule refl :args (@t358))
% 0.40/0.85  (step @p359 :rule nary_cong :premises (@p358 @p357) :args (@t615))
% 0.40/0.85  (step @p360 :rule cong :premises (@p359) :args (@t616))
% 0.40/0.85  (step @p361 :rule cong :premises (@p360 @p353) :args (@t617))
% 0.40/0.85  (step @p362 :rule refl :args (@t359))
% 0.40/0.85  (step @p363 :rule refl :args (@t360))
% 0.40/0.85  (step @p364 :rule cong :premises (@p363 @p326) :args (@t618))
% 0.40/0.85  (step @p365 :rule cong :premises (@p364 @p362) :args (@t619))
% 0.40/0.85  (step @p366 :rule cong :premises (@p354 @p365) :args (@t620))
% 0.40/0.85  (step @p367 :rule cong :premises (@p366) :args (@t621))
% 0.40/0.85  (step @p368 :rule nary_cong :premises (@p358 @p367) :args (@t622))
% 0.40/0.85  (step @p369 :rule cong :premises (@p368) :args (@t623))
% 0.40/0.85  (step @p370 :rule cong :premises (@p369 @p361) :args (@t624))
% 0.40/0.85  (step @p371 :rule cong :premises (@p208 @p370) :args (@t625))
% 0.40/0.85  (step @p372 :rule refl :args (@t96))
% 0.40/0.85  (step @p373 :rule cong :premises (@p335 @p326) :args (@t626))
% 0.40/0.85  (step @p374 :rule cong :premises (@p373 @p372) :args (@t627))
% 0.40/0.85  (step @p375 :rule refl :args (@t99))
% 0.40/0.85  (step @p376 :rule cong :premises (@p337 @p375) :args (@t628))
% 0.40/0.85  (step @p377 :rule cong :premises (@p376 @p374) :args (@t629))
% 0.40/0.85  (step @p378 :rule cong :premises (@p377) :args (@t630))
% 0.40/0.85  (step @p379 :rule nary_cong :premises (@p378 @p220) :args (@t631))
% 0.40/0.85  (step @p380 :rule cong :premises (@p379) :args (@t632))
% 0.40/0.85  (step @p381 :rule cong :premises (@p380 @p371) :args (@t633))
% 0.40/0.85  (step @p382 :rule nary_cong :premises (@p378 @p230) :args (@t634))
% 0.40/0.85  (step @p383 :rule cong :premises (@p382) :args (@t635))
% 0.40/0.85  (step @p384 :rule cong :premises (@p383 @p381) :args (@t636))
% 0.40/0.85  (step @p385 :rule cong :premises (@p336 @p337) :args (@t637))
% 0.40/0.85  (step @p386 :rule cong :premises (@p385) :args (@t638))
% 0.40/0.85  (step @p387 :rule nary_cong :premises (@p136 @p386) :args (@t639))
% 0.40/0.85  (step @p388 :rule cong :premises (@p387 @p384) :args (@t640))
% 0.40/0.85  (step @p389 :rule refl :args (@t1))
% 0.40/0.85  (step @p390 :rule cong :premises (@p389 @p326) :args (@t641))
% 0.40/0.85  (step @p391 :rule cong :premises (@p389 @p390) :args (@t642))
% 0.40/0.85  (step @p392 :rule cong :premises (@p391) :args (@t643))
% 0.40/0.85  (step @p393 :rule cong :premises (@p326 @p389) :args (@t644))
% 0.40/0.85  (step @p394 :rule cong :premises (@p389 @p393) :args (@t645))
% 0.40/0.85  (step @p395 :rule cong :premises (@p394) :args (@t646))
% 0.40/0.85  (step @p396 :rule nary_cong :premises (@p130 @p395 @p392) :args (@t647))
% 0.40/0.85  (step @p397 :rule cong :premises (@p396 @p388) :args (@t648))
% 0.40/0.85  (step @p398 :rule cong :premises (@p335 @p326) :args (@t649))
% 0.40/0.85  (step @p399 :rule cong :premises (@p336 @p398) :args (@t650))
% 0.40/0.85  (step @p400 :rule cong :premises (@p399) :args (@t651))
% 0.40/0.85  (step @p401 :rule refl :args (@t388))
% 0.40/0.85  (step @p402 :rule nary_cong :premises (@p401 @p400) :args (@t652))
% 0.40/0.85  (step @p403 :rule cong :premises (@p402) :args (@t653))
% 0.40/0.85  (step @p404 :rule cong :premises (@p403) :args (@t654))
% 0.40/0.85  (step @p405 :rule nary_cong :premises (@p404 @p249) :args (@t655))
% 0.40/0.85  (step @p406 :rule cong :premises (@p405) :args (@t656))
% 0.40/0.85  (step @p407 :rule cong :premises (@p406) :args (@t657))
% 0.40/0.85  (step @p408 :rule nary_cong :premises (@p261 @p260 @p407 @p248) :args (@t658))
% 0.40/0.85  (step @p409 :rule cong :premises (@p408) :args (@t659))
% 0.40/0.85  (step @p410 :rule cong :premises (@p409 @p397) :args (@t660))
% 0.40/0.85  (step @p411 :rule nary_cong :premises (@p260 @p407 @p266 @p265) :args (@t661))
% 0.40/0.85  (step @p412 :rule cong :premises (@p411) :args (@t662))
% 0.40/0.85  (step @p413 :rule cong :premises (@p412 @p410) :args (@t663))
% 0.40/0.85  (step @p414 :rule cong :premises (@p270 @p413) :args (@t664))
% 0.40/0.85  (step @p415 :rule cong :premises (@p272 @p414) :args (@t665))
% 0.40/0.85  (step @p416 :rule cong :premises (@p274 @p415) :args (@t666))
% 0.40/0.85  (step @p417 :rule cong :premises (@p276 @p416) :args (@t667))
% 0.40/0.85  (step @p418 :rule cong :premises (@p278 @p417) :args (@t668))
% 0.40/0.85  (step @p419 :rule cong :premises (@p280 @p418) :args (@t669))
% 0.40/0.85  (step @p420 :rule cong :premises (@p282 @p419) :args (@t670))
% 0.40/0.85  (step @p421 :rule cong :premises (@p284 @p420) :args (@t671))
% 0.40/0.85  (step @p422 :rule cong :premises (@p286 @p421) :args (@t672))
% 0.40/0.85  (step @p423 :rule cong :premises (@p288 @p422) :args (@t673))
% 0.40/0.85  (step @p424 :rule cong :premises (@p290 @p423) :args (@t674))
% 0.40/0.85  (step @p425 :rule cong :premises (@p292 @p424) :args (@t675))
% 0.40/0.85  (step @p426 :rule cong :premises (@p124 @p425) :args (@t676))
% 0.40/0.85  (step @p427 :rule refl :args (@t70))
% 0.40/0.85  (step @p428 :rule cong :premises (@p326 @p427) :args (@t677))
% 0.40/0.85  (step @p429 :rule cong :premises (@p428 @p426) :args (@t678))
% 0.40/0.85  (step @p430 :rule cong :premises (@p392 @p429) :args (@t679))
% 0.40/0.85  (step @p431 :rule cong :premises (@p128 @p430) :args (@t680))
% 0.40/0.85  (step @p432 :rule cong :premises (@p130 @p431) :args (@t681))
% 0.40/0.85  (step @p433 :rule cong :premises (@p132 @p432) :args (@t682))
% 0.40/0.85  (step @p434 :rule cong :premises (@p395 @p433) :args (@t683))
% 0.40/0.85  (step @p435 :rule cong :premises (@p136 @p434) :args (@t684))
% 0.40/0.85  (step @p436 :rule cong :premises (@p138 @p435) :args (@t685))
% 0.40/0.85  (step @p437 :rule cong :premises (@p386 @p436) :args (@t686))
% 0.40/0.85  (step @p438 :rule cong :premises (@p142 @p437) :args (@t687))
% 0.40/0.85  (step @p439 :rule cong :premises (@p144 @p438) :args ((=> @t486 @t687)))
% 0.40/0.85  (step @p440 :rule aci_norm :args ((= @t689 @t605)))
% 0.40/0.85  (step @p441 :rule cong :premises (@p440) :args (@t690))
% 0.40/0.85  (step @p442 :rule quant-merge-prenex :args ((= (forall @t246 @t692) @t690)))
% 0.40/0.85  (step @p443 :rule alpha_equiv :args (@t693 (@list @t334 @t333) @t694))
% 0.40/0.85  (step @p444 :rule refl :args (@t604))
% 0.40/0.85  (step @p445 :rule nary_cong :premises (@p163 @p162 @p444 @p443) :args (@t695))
% 0.40/0.85  (step @p446 :rule quant-miniscope-or :args ((= @t692 @t695)))
% 0.40/0.85  (step @p447 :rule trans :premises (@p446 @p445))
% 0.40/0.85  (step @p448 :rule symm :premises (@p447))
% 0.40/0.85  (step @p449 :rule cong :premises (@p448) :args ((forall @t246 @t698)))
% 0.40/0.85  (step @p450 :rule trans :premises (@p449 @p442))
% 0.40/0.85  (step @p451 :rule trans :premises (@p450 @p441))
% 0.40/0.85  (step @p452 :rule aci_norm :args ((= (or @t347 @t699) @t698)))
% 0.40/0.85  (step @p453 :rule aci_norm :args ((= (or @t345 (or @t604 @t697)) @t699)))
% 0.40/0.85  (step @p454 :rule bool-impl-elim :args (@t603 @t697))
% 0.40/0.85  (step @p455 :rule nary_cong :premises (@p162 @p454) :args ((or @t345 @t700)))
% 0.40/0.85  (step @p456 :rule trans :premises (@p455 @p453))
% 0.40/0.85  (step @p457 :rule bool-impl-elim :args (@t344 @t700))
% 0.40/0.85  (step @p458 :rule trans :premises (@p457 @p456))
% 0.40/0.85  (step @p459 :rule nary_cong :premises (@p163 @p458) :args ((or @t347 @t701)))
% 0.40/0.85  (step @p460 :rule trans :premises (@p459 @p452))
% 0.40/0.85  (step @p461 :rule bool-impl-elim :args (@t346 @t701))
% 0.40/0.85  (step @p462 :rule trans :premises (@p461 @p460))
% 0.40/0.85  (step @p463 :rule cong :premises (@p462) :args ((forall @t246 (=> @t346 @t701))))
% 0.40/0.85  (step @p464 :rule trans :premises (@p463 @p451))
% 0.40/0.85  (step @p465 :rule refl :args ((_ @t244 tptp.id @t10 tptp.id)))
% 0.40/0.85  (step @p466 :rule refl :args (tptp.id))
% 0.40/0.85  (step @p467 :rule refl :args (@t390))
% 0.40/0.85  (step @p468 :rule cong :premises (@p466 @p467 @p466) :args (@t696))
% 0.40/0.85  (step @p469 :rule trans :premises (@p468 @p465))
% 0.40/0.85  (step @p470 :rule refl :args (@t248))
% 0.40/0.85  (step @p471 :rule ho_cong :premises (@p470 @p467))
% 0.40/0.85  (step @p472 :rule ho_cong :premises (@p471 @p466))
% 0.40/0.85  (step @p473 :rule cong :premises (@p472 @p469) :args ((= (_ (_ @t248 @t390) tptp.id) @t696)))
% 0.40/0.85  (step @p474 :rule symm :premises (@p473))
% 0.40/0.85  (step @p475 :rule refl :args (@t269))
% 0.40/0.85  (step @p476 :rule eq_resolve :premises (@p475 @p474))
% 0.40/0.85  (step @p477 :rule refl :args (@t10))
% 0.40/0.85  (step @p478 :rule cong :premises (@p477 @p467) :args ((= @t10 @t390)))
% 0.40/0.85  (step @p479 :rule symm :premises (@p478))
% 0.40/0.85  (step @p480 :rule eq_resolve :premises (@p477 @p479))
% 0.40/0.85  (step @p481 :rule ho_cong :premises (@p470 @p480))
% 0.40/0.85  (step @p482 :rule ho_cong :premises (@p481 @p466))
% 0.40/0.85  (step @p483 :rule trans :premises (@p482 @p476))
% 0.40/0.85  (step @p484 :rule refl :args (@t598))
% 0.40/0.85  (step @p485 :rule refl :args (@t261))
% 0.40/0.85  (step @p486 :rule cong :premises (@p485 @p484) :args ((= @t261 @t598)))
% 0.40/0.85  (step @p487 :rule symm :premises (@p486))
% 0.40/0.85  (step @p488 :rule eq_resolve :premises (@p485 @p487))
% 0.40/0.85  (step @p489 :rule cong :premises (@p488) :args (@t702))
% 0.40/0.85  (step @p490 :rule refl :args (@t600))
% 0.40/0.85  (step @p491 :rule refl :args (@t249))
% 0.40/0.85  (step @p492 :rule cong :premises (@p491 @p490) :args ((= @t249 @t600)))
% 0.40/0.85  (step @p493 :rule symm :premises (@p492))
% 0.40/0.85  (step @p494 :rule eq_resolve :premises (@p491 @p493))
% 0.40/0.85  (step @p495 :rule cong :premises (@p494) :args (@t703))
% 0.40/0.85  (step @p496 :rule nary_cong :premises (@p495 @p489 @p483) :args (@t704))
% 0.40/0.85  (step @p497 :rule cong :premises (@p496) :args ((forall @t110 @t704)))
% 0.40/0.85  (step @p498 :rule aci_norm :args ((= (or @t703 (or @t702 @t269)) @t704)))
% 0.40/0.85  (step @p499 :rule bool-impl-elim :args (@t261 @t269))
% 0.40/0.85  (step @p500 :rule refl :args (@t703))
% 0.40/0.85  (step @p501 :rule nary_cong :premises (@p500 @p499) :args ((or @t703 @t270)))
% 0.40/0.85  (step @p502 :rule trans :premises (@p501 @p498))
% 0.40/0.85  (step @p503 :rule bool-impl-elim :args (@t249 @t270))
% 0.40/0.85  (step @p504 :rule trans :premises (@p503 @p502))
% 0.40/0.85  (step @p505 :rule cong :premises (@p504) :args (@t271))
% 0.40/0.85  (step @p506 :rule trans :premises (@p505 @p497))
% 0.40/0.85  (step @p507 :rule refl :args ((_ @t244 tptp.id @t706 tptp.id)))
% 0.40/0.85  (step @p508 :rule refl :args ((tptp.ap @t22 @t2)))
% 0.40/0.85  (step @p509 :rule refl :args (@t595))
% 0.40/0.85  (step @p510 :rule cong :premises (@p509 @p169) :args (@t596))
% 0.40/0.85  (step @p511 :rule trans :premises (@p510 @p508))
% 0.40/0.85  (step @p512 :rule cong :premises (@p466 @p511 @p466) :args (@t597))
% 0.40/0.85  (step @p513 :rule trans :premises (@p512 @p507))
% 0.40/0.85  (step @p514 :rule ho_cong :premises (@p470 @p511))
% 0.40/0.85  (step @p515 :rule ho_cong :premises (@p514 @p466))
% 0.40/0.85  (step @p516 :rule cong :premises (@p515 @p513) :args ((= (_ (_ @t248 @t596) tptp.id) @t597)))
% 0.40/0.85  (step @p517 :rule symm :premises (@p516))
% 0.40/0.85  (step @p518 :rule refl :args (@t707))
% 0.40/0.85  (step @p519 :rule eq_resolve :premises (@p518 @p517))
% 0.40/0.85  (step @p520 :rule refl :args (tptp.ap))
% 0.40/0.85  (step @p521 :rule ho_cong :premises (@p520 @p509))
% 0.40/0.85  (step @p522 :rule ho_cong :premises (@p521 @p169))
% 0.40/0.85  (step @p523 :rule cong :premises (@p522 @p511) :args ((= (_ @t708 @t2) @t596)))
% 0.40/0.85  (step @p524 :rule symm :premises (@p523))
% 0.40/0.85  (step @p525 :rule refl :args (@t706))
% 0.40/0.85  (step @p526 :rule eq_resolve :premises (@p525 @p524))
% 0.40/0.85  (step @p527 :rule refl :args (@t22))
% 0.40/0.85  (step @p528 :rule cong :premises (@p527 @p509) :args ((= @t22 @t595)))
% 0.40/0.85  (step @p529 :rule symm :premises (@p528))
% 0.40/0.85  (step @p530 :rule eq_resolve :premises (@p527 @p529))
% 0.40/0.85  (step @p531 :rule ho_cong :premises (@p520 @p530))
% 0.40/0.85  (step @p532 :rule ho_cong :premises (@p531 @p169))
% 0.40/0.85  (step @p533 :rule trans :premises (@p532 @p526))
% 0.40/0.85  (step @p534 :rule ho_cong :premises (@p470 @p533))
% 0.40/0.85  (step @p535 :rule ho_cong :premises (@p534 @p466))
% 0.40/0.85  (step @p536 :rule trans :premises (@p535 @p519))
% 0.40/0.85  (step @p537 :rule nary_cong :premises (@p495 @p489 @p536) :args (@t709))
% 0.40/0.85  (step @p538 :rule cong :premises (@p537) :args ((forall @t110 @t709)))
% 0.40/0.85  (step @p539 :rule aci_norm :args ((= (or @t703 (or @t702 @t707)) @t709)))
% 0.40/0.85  (step @p540 :rule bool-impl-elim :args (@t261 @t707))
% 0.40/0.85  (step @p541 :rule nary_cong :premises (@p500 @p540) :args ((or @t703 @t710)))
% 0.40/0.85  (step @p542 :rule trans :premises (@p541 @p539))
% 0.40/0.85  (step @p543 :rule bool-impl-elim :args (@t249 @t710))
% 0.40/0.85  (step @p544 :rule trans :premises (@p543 @p542))
% 0.40/0.85  (step @p545 :rule cong :premises (@p544) :args ((forall @t110 (=> @t249 @t710))))
% 0.40/0.85  (step @p546 :rule trans :premises (@p545 @p538))
% 0.40/0.85  (step @p547 :rule refl :args (tptp.id))
% 0.40/0.85  (step @p548 :rule beta-reduce :args ((= (_ @t711 @t2) @t706)))
% 0.40/0.85  (step @p549 :rule beta-reduce :args ((= (_ @t712 tptp.id) @t711)))
% 0.40/0.85  (step @p550 :rule beta-reduce :args ((= (_ @t713 @t5) @t712)))
% 0.40/0.85  (step @p551 :rule beta-reduce :args ((= @t714 @t713)))
% 0.40/0.85  (step @p552 :rule ho_cong :premises (@p551 @p336))
% 0.40/0.85  (step @p553 :rule trans :premises (@p552 @p550))
% 0.40/0.85  (step @p554 :rule ho_cong :premises (@p553 @p547))
% 0.40/0.85  (step @p555 :rule trans :premises (@p554 @p549))
% 0.40/0.85  (step @p556 :rule ho_cong :premises (@p555 @p335))
% 0.40/0.85  (step @p557 :rule trans :premises (@p556 @p548))
% 0.40/0.85  (step @p558 :rule refl :args (@t248))
% 0.40/0.85  (step @p559 :rule ho_cong :premises (@p558 @p557))
% 0.40/0.85  (step @p560 :rule ho_cong :premises (@p559 @p547))
% 0.40/0.85  (step @p561 :rule refl :args (@t261))
% 0.40/0.85  (step @p562 :rule cong :premises (@p561 @p560) :args (@t717))
% 0.40/0.85  (step @p563 :rule refl :args (@t249))
% 0.40/0.85  (step @p564 :rule cong :premises (@p563 @p562) :args (@t718))
% 0.40/0.85  (step @p565 :rule cong :premises (@p564) :args (@t719))
% 0.40/0.85  (step @p566 :rule trans :premises (@p565 @p546))
% 0.40/0.85  (step @p567 :rule cong :premises (@p566 @p506) :args (@t720))
% 0.40/0.85  (step @p568 :rule refl :args ((_ @t244 @t1 @t5 @t251)))
% 0.40/0.85  (step @p569 :rule refl :args (@t339))
% 0.40/0.85  (step @p570 :rule cong :premises (@p239 @p170 @p569) :args (@t340))
% 0.40/0.85  (step @p571 :rule trans :premises (@p570 @p568))
% 0.40/0.85  (step @p572 :rule refl :args (@t252))
% 0.40/0.85  (step @p573 :rule ho_cong :premises (@p572 @p569))
% 0.40/0.85  (step @p574 :rule cong :premises (@p573 @p571) :args ((= (_ @t252 @t339) @t340)))
% 0.40/0.85  (step @p575 :rule symm :premises (@p574))
% 0.40/0.85  (step @p576 :rule refl :args (@t253))
% 0.40/0.85  (step @p577 :rule eq_resolve :premises (@p576 @p575))
% 0.40/0.85  (step @p578 :rule refl :args (@t251))
% 0.40/0.85  (step @p579 :rule cong :premises (@p578 @p569) :args ((= @t251 @t339)))
% 0.40/0.85  (step @p580 :rule symm :premises (@p579))
% 0.40/0.85  (step @p581 :rule eq_resolve :premises (@p578 @p580))
% 0.40/0.85  (step @p582 :rule ho_cong :premises (@p572 @p581))
% 0.40/0.85  (step @p583 :rule trans :premises (@p582 @p577))
% 0.40/0.85  (step @p584 :rule refl :args ((_ @t244 @t255 @t254 @t37)))
% 0.40/0.85  (step @p585 :rule refl :args (@t37))
% 0.40/0.85  (step @p586 :rule refl :args (@t341))
% 0.40/0.85  (step @p587 :rule refl :args (@t342))
% 0.40/0.85  (step @p588 :rule cong :premises (@p587 @p586 @p585) :args (@t343))
% 0.40/0.85  (step @p589 :rule trans :premises (@p588 @p584))
% 0.40/0.85  (step @p590 :rule refl :args (@t244))
% 0.40/0.85  (step @p591 :rule ho_cong :premises (@p590 @p587))
% 0.40/0.85  (step @p592 :rule ho_cong :premises (@p591 @p586))
% 0.40/0.85  (step @p593 :rule ho_cong :premises (@p592 @p585))
% 0.40/0.85  (step @p594 :rule cong :premises (@p593 @p589) :args ((= (_ (_ (_ @t244 @t342) @t341) @t37) @t343)))
% 0.40/0.85  (step @p595 :rule symm :premises (@p594))
% 0.40/0.85  (step @p596 :rule refl :args (@t256))
% 0.40/0.85  (step @p597 :rule eq_resolve :premises (@p596 @p595))
% 0.40/0.85  (step @p598 :rule refl :args (@t254))
% 0.40/0.85  (step @p599 :rule cong :premises (@p598 @p586) :args ((= @t254 @t341)))
% 0.40/0.85  (step @p600 :rule symm :premises (@p599))
% 0.40/0.85  (step @p601 :rule eq_resolve :premises (@p598 @p600))
% 0.40/0.85  (step @p602 :rule refl :args (@t255))
% 0.40/0.85  (step @p603 :rule cong :premises (@p602 @p587) :args ((= @t255 @t342)))
% 0.40/0.85  (step @p604 :rule symm :premises (@p603))
% 0.40/0.85  (step @p605 :rule eq_resolve :premises (@p602 @p604))
% 0.40/0.85  (step @p606 :rule ho_cong :premises (@p590 @p605))
% 0.40/0.85  (step @p607 :rule ho_cong :premises (@p606 @p601))
% 0.40/0.85  (step @p608 :rule ho_cong :premises (@p607 @p585))
% 0.40/0.85  (step @p609 :rule trans :premises (@p608 @p597))
% 0.40/0.85  (step @p610 :rule cong :premises (@p609) :args (@t721))
% 0.40/0.85  (step @p611 :rule nary_cong :premises (@p610 @p583) :args (@t722))
% 0.40/0.85  (step @p612 :rule cong :premises (@p611) :args ((forall @t257 @t722)))
% 0.40/0.85  (step @p613 :rule bool-impl-elim :args (@t256 @t253))
% 0.40/0.85  (step @p614 :rule cong :premises (@p613) :args (@t258))
% 0.40/0.85  (step @p615 :rule trans :premises (@p614 @p612))
% 0.40/0.85  (step @p616 :rule cong :premises (@p615 @p567) :args (@t723))
% 0.40/0.85  (step @p617 :rule cong :premises (@p583) :args (@t724))
% 0.40/0.85  (step @p618 :rule nary_cong :premises (@p617 @p609) :args (@t725))
% 0.40/0.85  (step @p619 :rule cong :premises (@p618) :args ((forall @t257 @t725)))
% 0.40/0.85  (step @p620 :rule bool-impl-elim :args (@t253 @t256))
% 0.40/0.85  (step @p621 :rule cong :premises (@p620) :args (@t259))
% 0.40/0.85  (step @p622 :rule trans :premises (@p621 @p619))
% 0.40/0.85  (step @p623 :rule cong :premises (@p622 @p616) :args (@t726))
% 0.40/0.85  (step @p624 :rule cong :premises (@p623) :args (@t727))
% 0.40/0.85  (step @p625 :rule trans :premises (@p624 @p464))
% 0.40/0.85  (step @p626 :rule refl :args (tptp.hoasinduction_lem2))
% 0.40/0.85  (step @p627 :rule cong :premises (@p626 @p625) :args ((= tptp.hoasinduction_lem2 @t727)))
% 0.40/0.85  (step @p628 :rule refl :args (@t271))
% 0.40/0.85  (step @p629 :rule ho_cong :premises (@p112 @p547))
% 0.40/0.85  (step @p630 :rule ho_cong :premises (@p629 @p336))
% 0.40/0.85  (step @p631 :rule ho_cong :premises (@p630 @p547))
% 0.40/0.85  (step @p632 :rule ho_cong :premises (@p631 @p335))
% 0.40/0.85  (step @p633 :rule ho_cong :premises (@p558 @p632))
% 0.40/0.85  (step @p634 :rule ho_cong :premises (@p633 @p547))
% 0.40/0.85  (step @p635 :rule cong :premises (@p561 @p634) :args (@t262))
% 0.40/0.85  (step @p636 :rule cong :premises (@p563 @p635) :args (@t263))
% 0.40/0.85  (step @p637 :rule cong :premises (@p636) :args (@t264))
% 0.40/0.85  (step @p638 :rule cong :premises (@p637 @p628) :args (@t272))
% 0.40/0.85  (step @p639 :rule refl :args (@t258))
% 0.40/0.85  (step @p640 :rule cong :premises (@p639 @p638) :args (@t273))
% 0.40/0.85  (step @p641 :rule refl :args (@t259))
% 0.40/0.85  (step @p642 :rule cong :premises (@p641 @p640) :args (@t274))
% 0.40/0.85  (step @p643 :rule cong :premises (@p642) :args (@t275))
% 0.40/0.85  (step @p644 :rule cong :premises (@p626 @p643) :args (@t276))
% 0.40/0.85  (step @p645 :rule trans :premises (@p644 @p627))
% 0.40/0.85  (step @p646 :rule eq_resolve :premises (@p88 @p645))
% 0.40/0.85  (step @p647 :rule refl :args ((tptp.var @t729)))
% 0.40/0.85  (step @p648 :rule refl :args ((tptp.sub @t706 tptp.id)))
% 0.40/0.85  (step @p649 :rule cong :premises (@p511 @p466) :args (@t607))
% 0.40/0.85  (step @p650 :rule trans :premises (@p649 @p648))
% 0.40/0.85  (step @p651 :rule cong :premises (@p650) :args (@t608))
% 0.40/0.85  (step @p652 :rule trans :premises (@p651 @p647))
% 0.40/0.85  (step @p653 :rule refl :args (tptp.var))
% 0.40/0.85  (step @p654 :rule ho_cong :premises (@p653 @p650))
% 0.40/0.85  (step @p655 :rule cong :premises (@p654 @p652) :args ((= (_ tptp.var @t607) @t608)))
% 0.40/0.85  (step @p656 :rule symm :premises (@p655))
% 0.40/0.85  (step @p657 :rule refl :args (@t730))
% 0.40/0.85  (step @p658 :rule eq_resolve :premises (@p657 @p656))
% 0.40/0.85  (step @p659 :rule refl :args (tptp.sub))
% 0.40/0.85  (step @p660 :rule ho_cong :premises (@p659 @p511))
% 0.40/0.85  (step @p661 :rule ho_cong :premises (@p660 @p466))
% 0.40/0.85  (step @p662 :rule cong :premises (@p661 @p650) :args ((= (_ (_ tptp.sub @t596) tptp.id) @t607)))
% 0.40/0.85  (step @p663 :rule symm :premises (@p662))
% 0.40/0.85  (step @p664 :rule refl :args (@t729))
% 0.40/0.85  (step @p665 :rule eq_resolve :premises (@p664 @p663))
% 0.40/0.85  (step @p666 :rule ho_cong :premises (@p659 @p533))
% 0.40/0.85  (step @p667 :rule ho_cong :premises (@p666 @p466))
% 0.40/0.85  (step @p668 :rule trans :premises (@p667 @p665))
% 0.40/0.85  (step @p669 :rule ho_cong :premises (@p653 @p668))
% 0.40/0.85  (step @p670 :rule trans :premises (@p669 @p658))
% 0.40/0.85  (step @p671 :rule cong :premises (@p670) :args (@t731))
% 0.40/0.85  (step @p672 :rule cong :premises (@p671) :args ((forall @t110 @t731)))
% 0.40/0.85  (step @p673 :rule beta-reduce :args ((= (_ @t733 tptp.id) @t730)))
% 0.40/0.85  (step @p674 :rule beta-reduce :args ((= (_ @t734 @t706) @t733)))
% 0.40/0.85  (step @p675 :rule beta-reduce :args ((= @t735 @t734)))
% 0.40/0.85  (step @p676 :rule ho_cong :premises (@p675 @p557))
% 0.40/0.85  (step @p677 :rule trans :premises (@p676 @p674))
% 0.40/0.85  (step @p678 :rule ho_cong :premises (@p677 @p547))
% 0.40/0.85  (step @p679 :rule trans :premises (@p678 @p673))
% 0.40/0.85  (step @p680 :rule cong :premises (@p679) :args (@t736))
% 0.40/0.85  (step @p681 :rule cong :premises (@p680) :args (@t737))
% 0.40/0.85  (step @p682 :rule trans :premises (@p681 @p672))
% 0.40/0.85  (step @p683 :rule refl :args (tptp.hoasapnotvar))
% 0.40/0.85  (step @p684 :rule cong :premises (@p683 @p682) :args ((= tptp.hoasapnotvar @t737)))
% 0.40/0.85  (step @p685 :rule ho_cong :premises (@p114 @p547))
% 0.40/0.85  (step @p686 :rule ho_cong :premises (@p685 @p632))
% 0.40/0.85  (step @p687 :rule ho_cong :premises (@p686 @p547))
% 0.40/0.85  (step @p688 :rule cong :premises (@p687) :args (@t241))
% 0.40/0.85  (step @p689 :rule cong :premises (@p688) :args (@t242))
% 0.40/0.85  (step @p690 :rule cong :premises (@p683 @p689) :args (@t243))
% 0.40/0.85  (step @p691 :rule trans :premises (@p690 @p684))
% 0.40/0.85  (step @p692 :rule eq_resolve :premises (@p69 @p691))
% 0.40/0.85  (step @p693 :rule cong :premises (@p692 @p646) :args (@t277))
% 0.40/0.85  (step @p694 :rule refl :args ((tptp.var @t739)))
% 0.40/0.85  (step @p695 :rule refl :args ((tptp.sub @t327 tptp.id)))
% 0.40/0.85  (step @p696 :rule refl :args ((tptp.lam @t316)))
% 0.40/0.85  (step @p697 :rule refl :args (@t350))
% 0.40/0.85  (step @p698 :rule cong :premises (@p697) :args (@t351))
% 0.40/0.85  (step @p699 :rule trans :premises (@p698 @p696))
% 0.40/0.85  (step @p700 :rule cong :premises (@p699 @p466) :args (@t612))
% 0.40/0.85  (step @p701 :rule trans :premises (@p700 @p695))
% 0.40/0.85  (step @p702 :rule cong :premises (@p701) :args (@t613))
% 0.40/0.85  (step @p703 :rule trans :premises (@p702 @p694))
% 0.40/0.85  (step @p704 :rule ho_cong :premises (@p653 @p701))
% 0.40/0.85  (step @p705 :rule cong :premises (@p704 @p703) :args ((= (_ tptp.var @t612) @t613)))
% 0.40/0.85  (step @p706 :rule symm :premises (@p705))
% 0.40/0.85  (step @p707 :rule refl :args (@t740))
% 0.40/0.85  (step @p708 :rule eq_resolve :premises (@p707 @p706))
% 0.40/0.85  (step @p709 :rule ho_cong :premises (@p659 @p699))
% 0.40/0.85  (step @p710 :rule ho_cong :premises (@p709 @p466))
% 0.40/0.85  (step @p711 :rule cong :premises (@p710 @p701) :args ((= (_ (_ tptp.sub @t351) tptp.id) @t612)))
% 0.40/0.85  (step @p712 :rule symm :premises (@p711))
% 0.40/0.85  (step @p713 :rule refl :args (@t739))
% 0.40/0.85  (step @p714 :rule eq_resolve :premises (@p713 @p712))
% 0.40/0.85  (step @p715 :rule refl :args (tptp.lam))
% 0.40/0.85  (step @p716 :rule ho_cong :premises (@p715 @p697))
% 0.40/0.85  (step @p717 :rule cong :premises (@p716 @p699) :args ((= (_ tptp.lam @t350) @t351)))
% 0.40/0.85  (step @p718 :rule symm :premises (@p717))
% 0.40/0.85  (step @p719 :rule refl :args (@t327))
% 0.40/0.85  (step @p720 :rule eq_resolve :premises (@p719 @p718))
% 0.40/0.85  (step @p721 :rule refl :args (@t316))
% 0.40/0.85  (step @p722 :rule cong :premises (@p721 @p697) :args ((= @t316 @t350)))
% 0.40/0.85  (step @p723 :rule symm :premises (@p722))
% 0.40/0.85  (step @p724 :rule eq_resolve :premises (@p721 @p723))
% 0.40/0.85  (step @p725 :rule ho_cong :premises (@p715 @p724))
% 0.40/0.85  (step @p726 :rule trans :premises (@p725 @p720))
% 0.40/0.85  (step @p727 :rule ho_cong :premises (@p659 @p726))
% 0.40/0.85  (step @p728 :rule ho_cong :premises (@p727 @p466))
% 0.40/0.85  (step @p729 :rule trans :premises (@p728 @p714))
% 0.40/0.85  (step @p730 :rule ho_cong :premises (@p653 @p729))
% 0.40/0.85  (step @p731 :rule trans :premises (@p730 @p708))
% 0.40/0.85  (step @p732 :rule cong :premises (@p731) :args (@t741))
% 0.40/0.85  (step @p733 :rule nary_cong :premises (@p195 @p732) :args (@t742))
% 0.40/0.85  (step @p734 :rule cong :premises (@p733) :args ((forall @t225 @t742)))
% 0.40/0.85  (step @p735 :rule bool-impl-elim :args (@t357 @t741))
% 0.40/0.85  (step @p736 :rule cong :premises (@p735) :args ((forall @t225 (=> @t357 @t741))))
% 0.40/0.85  (step @p737 :rule trans :premises (@p736 @p734))
% 0.40/0.85  (step @p738 :rule beta-reduce :args ((= (_ @t743 tptp.id) @t740)))
% 0.40/0.85  (step @p739 :rule beta-reduce :args ((= (_ @t734 @t327) @t743)))
% 0.40/0.85  (step @p740 :rule beta-reduce :args ((= (_ @t744 tptp.one) @t316)))
% 0.40/0.85  (step @p741 :rule refl :args (tptp.one))
% 0.40/0.85  (step @p742 :rule beta-reduce :args ((= @t745 @t744)))
% 0.40/0.85  (step @p743 :rule ho_cong :premises (@p742 @p741))
% 0.40/0.85  (step @p744 :rule trans :premises (@p743 @p740))
% 0.40/0.85  (step @p745 :rule refl :args (tptp.lam))
% 0.40/0.85  (step @p746 :rule ho_cong :premises (@p745 @p744))
% 0.40/0.85  (step @p747 :rule beta-reduce :args ((= (_ @t746 @t208) (_ tptp.lam (_ @t745 tptp.one)))))
% 0.40/0.85  (step @p748 :rule trans :premises (@p747 @p746))
% 0.40/0.85  (step @p749 :rule refl :args (@t208))
% 0.40/0.85  (step @p750 :rule beta-reduce :args ((= @t747 @t746)))
% 0.40/0.85  (step @p751 :rule ho_cong :premises (@p750 @p749))
% 0.40/0.85  (step @p752 :rule trans :premises (@p751 @p748))
% 0.40/0.85  (step @p753 :rule ho_cong :premises (@p675 @p752))
% 0.40/0.85  (step @p754 :rule trans :premises (@p753 @p739))
% 0.40/0.85  (step @p755 :rule ho_cong :premises (@p754 @p547))
% 0.40/0.85  (step @p756 :rule trans :premises (@p755 @p738))
% 0.40/0.85  (step @p757 :rule cong :premises (@p756) :args (@t749))
% 0.40/0.85  (step @p758 :rule refl :args ((_ @t200 @t38 @t61)))
% 0.40/0.85  (step @p759 :rule refl :args (@t352))
% 0.40/0.85  (step @p760 :rule refl :args (@t353))
% 0.40/0.85  (step @p761 :rule cong :premises (@p760 @p759) :args (@t354))
% 0.40/0.85  (step @p762 :rule trans :premises (@p761 @p758))
% 0.40/0.85  (step @p763 :rule refl :args (@t200))
% 0.40/0.85  (step @p764 :rule ho_cong :premises (@p763 @p760))
% 0.40/0.85  (step @p765 :rule ho_cong :premises (@p764 @p759))
% 0.40/0.85  (step @p766 :rule cong :premises (@p765 @p762) :args ((= (_ (_ @t200 @t353) @t352) @t354)))
% 0.40/0.85  (step @p767 :rule symm :premises (@p766))
% 0.40/0.85  (step @p768 :rule refl :args (@t220))
% 0.40/0.85  (step @p769 :rule eq_resolve :premises (@p768 @p767))
% 0.40/0.85  (step @p770 :rule refl :args (@t61))
% 0.40/0.85  (step @p771 :rule cong :premises (@p770 @p759) :args ((= @t61 @t352)))
% 0.40/0.85  (step @p772 :rule symm :premises (@p771))
% 0.40/0.85  (step @p773 :rule eq_resolve :premises (@p770 @p772))
% 0.40/0.85  (step @p774 :rule refl :args (@t38))
% 0.40/0.85  (step @p775 :rule cong :premises (@p774 @p760) :args ((= @t38 @t353)))
% 0.40/0.85  (step @p776 :rule symm :premises (@p775))
% 0.40/0.85  (step @p777 :rule eq_resolve :premises (@p774 @p776))
% 0.40/0.85  (step @p778 :rule ho_cong :premises (@p763 @p777))
% 0.40/0.85  (step @p779 :rule ho_cong :premises (@p778 @p773))
% 0.40/0.85  (step @p780 :rule trans :premises (@p779 @p769))
% 0.40/0.85  (step @p781 :rule refl :args ((tptp.sub @t202 @t37)))
% 0.40/0.85  (step @p782 :rule refl :args (@t355))
% 0.40/0.85  (step @p783 :rule cong :premises (@p782 @p585) :args (@t356))
% 0.40/0.85  (step @p784 :rule trans :premises (@p783 @p781))
% 0.40/0.85  (step @p785 :rule ho_cong :premises (@p659 @p782))
% 0.40/0.85  (step @p786 :rule ho_cong :premises (@p785 @p585))
% 0.40/0.85  (step @p787 :rule cong :premises (@p786 @p784) :args ((= (_ (_ tptp.sub @t355) @t37) @t356)))
% 0.40/0.85  (step @p788 :rule symm :premises (@p787))
% 0.40/0.85  (step @p789 :rule refl :args (@t221))
% 0.40/0.85  (step @p790 :rule eq_resolve :premises (@p789 @p788))
% 0.40/0.85  (step @p791 :rule refl :args (@t202))
% 0.40/0.85  (step @p792 :rule cong :premises (@p791 @p782) :args ((= @t202 @t355)))
% 0.40/0.85  (step @p793 :rule symm :premises (@p792))
% 0.40/0.85  (step @p794 :rule eq_resolve :premises (@p791 @p793))
% 0.40/0.85  (step @p795 :rule ho_cong :premises (@p659 @p794))
% 0.40/0.85  (step @p796 :rule ho_cong :premises (@p795 @p585))
% 0.40/0.85  (step @p797 :rule trans :premises (@p796 @p790))
% 0.40/0.85  (step @p798 :rule cong :premises (@p797 @p780) :args (@t222))
% 0.40/0.85  (step @p799 :rule cong :premises (@p798) :args (@t223))
% 0.40/0.85  (step @p800 :rule cong :premises (@p799 @p757) :args (@t750))
% 0.40/0.85  (step @p801 :rule cong :premises (@p800) :args (@t751))
% 0.40/0.85  (step @p802 :rule trans :premises (@p801 @p737))
% 0.40/0.85  (step @p803 :rule refl :args (tptp.hoaslamnotvar))
% 0.40/0.85  (step @p804 :rule cong :premises (@p803 @p802) :args ((= tptp.hoaslamnotvar @t751)))
% 0.40/0.85  (step @p805 :rule ho_cong :premises (@p113 @p547))
% 0.40/0.85  (step @p806 :rule ho_cong :premises (@p805 @p749))
% 0.40/0.85  (step @p807 :rule ho_cong :premises (@p685 @p806))
% 0.40/0.85  (step @p808 :rule ho_cong :premises (@p807 @p547))
% 0.40/0.85  (step @p809 :rule cong :premises (@p808) :args (@t237))
% 0.40/0.85  (step @p810 :rule refl :args (@t223))
% 0.40/0.85  (step @p811 :rule cong :premises (@p810 @p809) :args (@t238))
% 0.40/0.85  (step @p812 :rule cong :premises (@p811) :args (@t239))
% 0.40/0.85  (step @p813 :rule cong :premises (@p803 @p812) :args (@t240))
% 0.40/0.85  (step @p814 :rule trans :premises (@p813 @p804))
% 0.40/0.85  (step @p815 :rule eq_resolve :premises (@p66 @p814))
% 0.40/0.85  (step @p816 :rule cong :premises (@p815 @p693) :args (@t278))
% 0.40/0.85  (step @p817 :rule quant-merge-prenex :args ((= (forall @t225 @t753) @t623)))
% 0.40/0.85  (step @p818 :rule alpha_equiv :args (@t754 (@list @t360 @t359) @t694))
% 0.40/0.85  (step @p819 :rule nary_cong :premises (@p195 @p818) :args (@t755))
% 0.40/0.85  (step @p820 :rule quant-miniscope-or :args ((= @t753 @t755)))
% 0.40/0.85  (step @p821 :rule trans :premises (@p820 @p819))
% 0.40/0.85  (step @p822 :rule symm :premises (@p821))
% 0.40/0.85  (step @p823 :rule cong :premises (@p822) :args ((forall @t225 (or @t358 @t756))))
% 0.40/0.85  (step @p824 :rule trans :premises (@p823 @p817))
% 0.40/0.85  (step @p825 :rule bool-impl-elim :args (@t357 @t756))
% 0.40/0.85  (step @p826 :rule cong :premises (@p825) :args ((forall @t225 (=> @t357 @t756))))
% 0.40/0.85  (step @p827 :rule trans :premises (@p826 @p824))
% 0.40/0.85  (step @p828 :rule cong :premises (@p726 @p533) :args (@t757))
% 0.40/0.85  (step @p829 :rule cong :premises (@p828) :args (@t758))
% 0.40/0.85  (step @p830 :rule cong :premises (@p829) :args ((forall @t110 @t758)))
% 0.40/0.85  (step @p831 :rule beta-reduce :args ((= (_ @t759 tptp.one) @t316)))
% 0.40/0.85  (step @p832 :rule beta-reduce :args ((= @t760 @t759)))
% 0.40/0.85  (step @p833 :rule ho_cong :premises (@p832 @p741))
% 0.40/0.85  (step @p834 :rule trans :premises (@p833 @p831))
% 0.40/0.85  (step @p835 :rule ho_cong :premises (@p745 @p834))
% 0.40/0.85  (step @p836 :rule beta-reduce :args ((= (_ @t746 @t229) (_ tptp.lam (_ @t760 tptp.one)))))
% 0.40/0.85  (step @p837 :rule trans :premises (@p836 @p835))
% 0.40/0.85  (step @p838 :rule refl :args (@t229))
% 0.40/0.85  (step @p839 :rule ho_cong :premises (@p750 @p838))
% 0.40/0.85  (step @p840 :rule trans :premises (@p839 @p837))
% 0.40/0.85  (step @p841 :rule cong :premises (@p840 @p557) :args (@t761))
% 0.40/0.85  (step @p842 :rule cong :premises (@p841) :args (@t762))
% 0.40/0.85  (step @p843 :rule cong :premises (@p842) :args (@t763))
% 0.40/0.85  (step @p844 :rule trans :premises (@p843 @p830))
% 0.40/0.85  (step @p845 :rule cong :premises (@p799 @p844) :args (@t764))
% 0.40/0.85  (step @p846 :rule cong :premises (@p845) :args (@t765))
% 0.40/0.85  (step @p847 :rule trans :premises (@p846 @p827))
% 0.40/0.85  (step @p848 :rule refl :args (tptp.hoaslamnotap))
% 0.40/0.85  (step @p849 :rule cong :premises (@p848 @p847) :args ((= tptp.hoaslamnotap @t765)))
% 0.40/0.85  (step @p850 :rule ho_cong :premises (@p805 @p838))
% 0.40/0.85  (step @p851 :rule cong :premises (@p850 @p632) :args (@t230))
% 0.40/0.85  (step @p852 :rule cong :premises (@p851) :args (@t231))
% 0.40/0.85  (step @p853 :rule cong :premises (@p852) :args (@t232))
% 0.40/0.85  (step @p854 :rule cong :premises (@p810 @p853) :args (@t233))
% 0.40/0.85  (step @p855 :rule cong :premises (@p854) :args (@t234))
% 0.40/0.85  (step @p856 :rule cong :premises (@p848 @p855) :args (@t235))
% 0.40/0.85  (step @p857 :rule trans :premises (@p856 @p849))
% 0.40/0.85  (step @p858 :rule eq_resolve :premises (@p63 @p857))
% 0.40/0.85  (step @p859 :rule cong :premises (@p858 @p816) :args (@t279))
% 0.40/0.85  (step @p860 :rule aci_norm :args ((= @t767 @t368)))
% 0.40/0.85  (step @p861 :rule cong :premises (@p860) :args (@t768))
% 0.40/0.85  (step @p862 :rule quant-merge-prenex :args ((= (forall @t225 @t770) @t768)))
% 0.40/0.85  (step @p863 :rule alpha_equiv :args (@t771 (@list @t364 @t363 @t362) (@list @t198 @t773 @t772)))
% 0.40/0.85  (step @p864 :rule nary_cong :premises (@p195 @p863) :args (@t774))
% 0.40/0.85  (step @p865 :rule quant-miniscope-or :args ((= @t770 @t774)))
% 0.40/0.85  (step @p866 :rule trans :premises (@p865 @p864))
% 0.40/0.85  (step @p867 :rule symm :premises (@p866))
% 0.40/0.85  (step @p868 :rule cong :premises (@p867) :args ((forall @t225 (or @t358 @t785))))
% 0.40/0.85  (step @p869 :rule trans :premises (@p868 @p862))
% 0.40/0.85  (step @p870 :rule trans :premises (@p869 @p861))
% 0.40/0.85  (step @p871 :rule bool-impl-elim :args (@t357 @t785))
% 0.40/0.85  (step @p872 :rule cong :premises (@p871) :args ((forall @t225 (=> @t357 @t785))))
% 0.40/0.85  (step @p873 :rule trans :premises (@p872 @p870))
% 0.40/0.85  (step @p874 :rule quant-merge-prenex :args ((= (forall @t218 @t787) @t785)))
% 0.40/0.85  (step @p875 :rule alpha_equiv :args (@t788 (@list @t773 @t772) (@list @t1 @t5)))
% 0.40/0.85  (step @p876 :rule refl :args (@t778))
% 0.40/0.85  (step @p877 :rule refl :args (@t783))
% 0.40/0.85  (step @p878 :rule nary_cong :premises (@p877 @p876 @p875) :args (@t789))
% 0.40/0.85  (step @p879 :rule quant-miniscope-or :args ((= @t787 @t789)))
% 0.40/0.85  (step @p880 :rule trans :premises (@p879 @p878))
% 0.40/0.85  (step @p881 :rule symm :premises (@p880))
% 0.40/0.85  (step @p882 :rule cong :premises (@p881) :args ((forall @t218 (or @t783 @t778 @t790))))
% 0.40/0.85  (step @p883 :rule trans :premises (@p882 @p874))
% 0.40/0.85  (step @p884 :rule refl :args (@t790))
% 0.40/0.85  (step @p885 :rule refl :args ((tptp.lam @t792)))
% 0.40/0.85  (step @p886 :rule refl :args (@t776))
% 0.40/0.85  (step @p887 :rule cong :premises (@p886) :args (@t777))
% 0.40/0.85  (step @p888 :rule trans :premises (@p887 @p885))
% 0.40/0.85  (step @p889 :rule ho_cong :premises (@p715 @p886))
% 0.40/0.85  (step @p890 :rule cong :premises (@p889 @p888) :args ((= (_ tptp.lam @t776) @t777)))
% 0.40/0.85  (step @p891 :rule symm :premises (@p890))
% 0.40/0.85  (step @p892 :rule refl :args (@t793))
% 0.40/0.85  (step @p893 :rule eq_resolve :premises (@p892 @p891))
% 0.40/0.85  (step @p894 :rule refl :args (@t792))
% 0.40/0.85  (step @p895 :rule cong :premises (@p894 @p886) :args ((= @t792 @t776)))
% 0.40/0.85  (step @p896 :rule symm :premises (@p895))
% 0.40/0.85  (step @p897 :rule eq_resolve :premises (@p894 @p896))
% 0.40/0.85  (step @p898 :rule ho_cong :premises (@p715 @p897))
% 0.40/0.85  (step @p899 :rule trans :premises (@p898 @p893))
% 0.40/0.85  (step @p900 :rule cong :premises (@p726 @p899) :args (@t794))
% 0.40/0.85  (step @p901 :rule cong :premises (@p900) :args (@t795))
% 0.40/0.85  (step @p902 :rule nary_cong :premises (@p877 @p901 @p884) :args (@t796))
% 0.40/0.85  (step @p903 :rule cong :premises (@p902) :args ((forall @t218 @t796)))
% 0.40/0.85  (step @p904 :rule trans :premises (@p903 @p883))
% 0.40/0.85  (step @p905 :rule aci_norm :args ((= (or @t783 (or @t795 @t790)) @t796)))
% 0.40/0.85  (step @p906 :rule bool-impl-elim :args (@t794 @t790))
% 0.40/0.85  (step @p907 :rule nary_cong :premises (@p877 @p906) :args ((or @t783 @t797)))
% 0.40/0.85  (step @p908 :rule trans :premises (@p907 @p905))
% 0.40/0.85  (step @p909 :rule bool-impl-elim :args (@t782 @t797))
% 0.40/0.85  (step @p910 :rule trans :premises (@p909 @p908))
% 0.40/0.85  (step @p911 :rule cong :premises (@p910) :args ((forall @t218 (=> @t782 @t797))))
% 0.40/0.85  (step @p912 :rule trans :premises (@p911 @p904))
% 0.40/0.85  (step @p913 :rule refl :args (@t780))
% 0.40/0.85  (step @p914 :rule refl :args (@t199))
% 0.40/0.85  (step @p915 :rule cong :premises (@p914 @p913) :args ((= @t199 @t780)))
% 0.40/0.85  (step @p916 :rule symm :premises (@p915))
% 0.40/0.85  (step @p917 :rule eq_resolve :premises (@p914 @p916))
% 0.40/0.85  (step @p918 :rule cong :premises (@p794 @p917) :args (@t203))
% 0.40/0.85  (step @p919 :rule cong :premises (@p918) :args (@t205))
% 0.40/0.85  (step @p920 :rule beta-reduce :args ((= (_ @t798 tptp.one) @t792)))
% 0.40/0.85  (step @p921 :rule beta-reduce :args ((= @t799 @t798)))
% 0.40/0.85  (step @p922 :rule ho_cong :premises (@p921 @p741))
% 0.40/0.85  (step @p923 :rule trans :premises (@p922 @p920))
% 0.40/0.85  (step @p924 :rule ho_cong :premises (@p745 @p923))
% 0.40/0.85  (step @p925 :rule beta-reduce :args ((= (_ @t746 @t206) (_ tptp.lam (_ @t799 tptp.one)))))
% 0.40/0.85  (step @p926 :rule trans :premises (@p925 @p924))
% 0.40/0.85  (step @p927 :rule refl :args (@t206))
% 0.40/0.85  (step @p928 :rule ho_cong :premises (@p750 @p927))
% 0.40/0.85  (step @p929 :rule trans :premises (@p928 @p926))
% 0.40/0.85  (step @p930 :rule cong :premises (@p752 @p929) :args (@t800))
% 0.40/0.85  (step @p931 :rule cong :premises (@p930 @p919) :args (@t801))
% 0.40/0.85  (step @p932 :rule refl :args ((_ @t198 @t38 @t61)))
% 0.40/0.85  (step @p933 :rule cong :premises (@p760 @p759) :args (@t779))
% 0.40/0.85  (step @p934 :rule trans :premises (@p933 @p932))
% 0.40/0.85  (step @p935 :rule refl :args (@t198))
% 0.40/0.85  (step @p936 :rule ho_cong :premises (@p935 @p760))
% 0.40/0.85  (step @p937 :rule ho_cong :premises (@p936 @p759))
% 0.40/0.85  (step @p938 :rule cong :premises (@p937 @p934) :args ((= (_ (_ @t198 @t353) @t352) @t779)))
% 0.40/0.85  (step @p939 :rule symm :premises (@p938))
% 0.40/0.85  (step @p940 :rule refl :args (@t212))
% 0.40/0.85  (step @p941 :rule eq_resolve :premises (@p940 @p939))
% 0.40/0.85  (step @p942 :rule ho_cong :premises (@p935 @p777))
% 0.40/0.85  (step @p943 :rule ho_cong :premises (@p942 @p773))
% 0.40/0.85  (step @p944 :rule trans :premises (@p943 @p941))
% 0.40/0.85  (step @p945 :rule refl :args ((tptp.sub @t199 @t37)))
% 0.40/0.85  (step @p946 :rule cong :premises (@p913 @p585) :args (@t781))
% 0.40/0.85  (step @p947 :rule trans :premises (@p946 @p945))
% 0.40/0.85  (step @p948 :rule ho_cong :premises (@p659 @p913))
% 0.40/0.85  (step @p949 :rule ho_cong :premises (@p948 @p585))
% 0.40/0.85  (step @p950 :rule cong :premises (@p949 @p947) :args ((= (_ (_ tptp.sub @t780) @t37) @t781)))
% 0.40/0.85  (step @p951 :rule symm :premises (@p950))
% 0.40/0.85  (step @p952 :rule refl :args (@t213))
% 0.40/0.85  (step @p953 :rule eq_resolve :premises (@p952 @p951))
% 0.40/0.85  (step @p954 :rule ho_cong :premises (@p659 @p917))
% 0.40/0.85  (step @p955 :rule ho_cong :premises (@p954 @p585))
% 0.40/0.85  (step @p956 :rule trans :premises (@p955 @p953))
% 0.40/0.85  (step @p957 :rule cong :premises (@p956 @p944) :args (@t214))
% 0.40/0.85  (step @p958 :rule cong :premises (@p957) :args (@t216))
% 0.40/0.85  (step @p959 :rule cong :premises (@p958 @p931) :args (@t802))
% 0.40/0.85  (step @p960 :rule cong :premises (@p959) :args (@t803))
% 0.40/0.85  (step @p961 :rule trans :premises (@p960 @p912))
% 0.40/0.85  (step @p962 :rule cong :premises (@p799 @p961) :args (@t804))
% 0.40/0.85  (step @p963 :rule cong :premises (@p962) :args (@t805))
% 0.40/0.85  (step @p964 :rule trans :premises (@p963 @p873))
% 0.40/0.85  (step @p965 :rule refl :args (tptp.hoaslaminj))
% 0.40/0.85  (step @p966 :rule cong :premises (@p965 @p964) :args ((= tptp.hoaslaminj @t805)))
% 0.40/0.85  (step @p967 :rule refl :args (@t205))
% 0.40/0.85  (step @p968 :rule ho_cong :premises (@p805 @p927))
% 0.40/0.85  (step @p969 :rule cong :premises (@p806 @p968) :args (@t210))
% 0.40/0.85  (step @p970 :rule cong :premises (@p969 @p967) :args (@t211))
% 0.40/0.85  (step @p971 :rule refl :args (@t216))
% 0.40/0.85  (step @p972 :rule cong :premises (@p971 @p970) :args (@t217))
% 0.40/0.85  (step @p973 :rule cong :premises (@p972) :args (@t219))
% 0.40/0.85  (step @p974 :rule cong :premises (@p810 @p973) :args (@t224))
% 0.40/0.85  (step @p975 :rule cong :premises (@p974) :args (@t226))
% 0.40/0.85  (step @p976 :rule cong :premises (@p965 @p975) :args (@t227))
% 0.40/0.85  (step @p977 :rule trans :premises (@p976 @p966))
% 0.40/0.85  (step @p978 :rule eq_resolve :premises (@p60 @p977))
% 0.40/0.86  (step @p979 :rule cong :premises (@p978 @p859) :args (@t280))
% 0.40/0.86  (step @p980 :rule refl :args ((tptp.ap @t806 @t96)))
% 0.40/0.86  (step @p981 :rule refl :args (@t626))
% 0.40/0.86  (step @p982 :rule cong :premises (@p981 @p213) :args (@t627))
% 0.40/0.86  (step @p983 :rule trans :premises (@p982 @p980))
% 0.40/0.86  (step @p984 :rule ho_cong :premises (@p520 @p981))
% 0.40/0.86  (step @p985 :rule ho_cong :premises (@p984 @p213))
% 0.40/0.86  (step @p986 :rule cong :premises (@p985 @p983) :args ((= (_ (_ tptp.ap @t626) @t96) @t627)))
% 0.40/0.86  (step @p987 :rule symm :premises (@p986))
% 0.40/0.86  (step @p988 :rule refl :args (@t808))
% 0.40/0.86  (step @p989 :rule eq_resolve :premises (@p988 @p987))
% 0.40/0.86  (step @p990 :rule refl :args (@t806))
% 0.40/0.86  (step @p991 :rule cong :premises (@p990 @p981) :args ((= @t806 @t626)))
% 0.40/0.86  (step @p992 :rule symm :premises (@p991))
% 0.40/0.86  (step @p993 :rule eq_resolve :premises (@p990 @p992))
% 0.40/0.86  (step @p994 :rule ho_cong :premises (@p520 @p993))
% 0.40/0.86  (step @p995 :rule ho_cong :premises (@p994 @p213))
% 0.40/0.86  (step @p996 :rule trans :premises (@p995 @p989))
% 0.40/0.86  (step @p997 :rule refl :args ((tptp.ap @t22 @t99)))
% 0.40/0.86  (step @p998 :rule cong :premises (@p509 @p211) :args (@t628))
% 0.40/0.86  (step @p999 :rule trans :premises (@p998 @p997))
% 0.40/0.86  (step @p1000 :rule ho_cong :premises (@p521 @p211))
% 0.40/0.86  (step @p1001 :rule cong :premises (@p1000 @p999) :args ((= (_ @t708 @t99) @t628)))
% 0.40/0.86  (step @p1002 :rule symm :premises (@p1001))
% 0.40/0.86  (step @p1003 :rule refl :args (@t809))
% 0.40/0.86  (step @p1004 :rule eq_resolve :premises (@p1003 @p1002))
% 0.40/0.86  (step @p1005 :rule ho_cong :premises (@p531 @p211))
% 0.40/0.86  (step @p1006 :rule trans :premises (@p1005 @p1004))
% 0.40/0.86  (step @p1007 :rule cong :premises (@p1006 @p996) :args (@t810))
% 0.40/0.86  (step @p1008 :rule cong :premises (@p1007) :args (@t811))
% 0.40/0.86  (step @p1009 :rule nary_cong :premises (@p1008 @p210) :args (@t812))
% 0.40/0.86  (step @p1010 :rule cong :premises (@p1009) :args ((forall @t102 @t812)))
% 0.40/0.86  (step @p1011 :rule bool-impl-elim :args (@t810 @t105))
% 0.40/0.86  (step @p1012 :rule cong :premises (@p1011) :args ((forall @t102 (=> @t810 @t105))))
% 0.40/0.86  (step @p1013 :rule trans :premises (@p1012 @p1010))
% 0.40/0.86  (step @p1014 :rule beta-reduce :args ((= (_ @t814 @t96) @t808)))
% 0.40/0.86  (step @p1015 :rule beta-reduce :args ((= (_ @t815 tptp.id) @t814)))
% 0.40/0.86  (step @p1016 :rule beta-reduce :args ((= (_ (lambda (@list @t5 @t37 @t813) (_ @t324 @t813)) @t2) @t815)))
% 0.40/0.86  (step @p1017 :rule alpha_equiv :args (@t713 @t816 (@list @t813)))
% 0.40/0.86  (step @p1018 :rule ho_cong :premises (@p1017 @p169))
% 0.40/0.86  (step @p1019 :rule trans :premises (@p1018 @p1016))
% 0.40/0.86  (step @p1020 :rule ho_cong :premises (@p551 @p335))
% 0.40/0.86  (step @p1021 :rule trans :premises (@p1020 @p1019))
% 0.40/0.86  (step @p1022 :rule ho_cong :premises (@p1021 @p547))
% 0.40/0.86  (step @p1023 :rule trans :premises (@p1022 @p1015))
% 0.40/0.86  (step @p1024 :rule ho_cong :premises (@p1023 @p372))
% 0.40/0.86  (step @p1025 :rule trans :premises (@p1024 @p1014))
% 0.40/0.86  (step @p1026 :rule beta-reduce :args ((= (_ @t711 @t99) @t809)))
% 0.40/0.86  (step @p1027 :rule ho_cong :premises (@p555 @p375))
% 0.40/0.86  (step @p1028 :rule trans :premises (@p1027 @p1026))
% 0.40/0.86  (step @p1029 :rule cong :premises (@p1028 @p1025) :args (@t817))
% 0.40/0.86  (step @p1030 :rule cong :premises (@p1029 @p220) :args (@t818))
% 0.40/0.86  (step @p1031 :rule cong :premises (@p1030) :args (@t819))
% 0.40/0.86  (step @p1032 :rule trans :premises (@p1031 @p1013))
% 0.40/0.86  (step @p1033 :rule refl :args (tptp.hoasapinj2))
% 0.40/0.86  (step @p1034 :rule cong :premises (@p1033 @p1032) :args ((= tptp.hoasapinj2 @t819)))
% 0.40/0.86  (step @p1035 :rule ho_cong :premises (@p629 @p335))
% 0.40/0.86  (step @p1036 :rule ho_cong :premises (@p1035 @p547))
% 0.40/0.86  (step @p1037 :rule ho_cong :premises (@p1036 @p372))
% 0.40/0.86  (step @p1038 :rule ho_cong :premises (@p631 @p375))
% 0.40/0.86  (step @p1039 :rule cong :premises (@p1038 @p1037) :args (@t191))
% 0.40/0.86  (step @p1040 :rule cong :premises (@p1039 @p220) :args (@t195))
% 0.40/0.86  (step @p1041 :rule cong :premises (@p1040) :args (@t196))
% 0.40/0.86  (step @p1042 :rule cong :premises (@p1033 @p1041) :args (@t197))
% 0.40/0.86  (step @p1043 :rule trans :premises (@p1042 @p1034))
% 0.40/0.86  (step @p1044 :rule eq_resolve :premises (@p57 @p1043))
% 0.40/0.86  (step @p1045 :rule cong :premises (@p1044 @p979) :args (@t281))
% 0.40/0.86  (step @p1046 :rule nary_cong :premises (@p1008 @p227) :args (@t820))
% 0.40/0.86  (step @p1047 :rule cong :premises (@p1046) :args ((forall @t102 @t820)))
% 0.40/0.86  (step @p1048 :rule bool-impl-elim :args (@t810 @t95))
% 0.40/0.86  (step @p1049 :rule cong :premises (@p1048) :args ((forall @t102 (=> @t810 @t95))))
% 0.40/0.86  (step @p1050 :rule trans :premises (@p1049 @p1047))
% 0.40/0.86  (step @p1051 :rule cong :premises (@p1029 @p230) :args (@t821))
% 0.40/0.86  (step @p1052 :rule cong :premises (@p1051) :args (@t822))
% 0.40/0.86  (step @p1053 :rule trans :premises (@p1052 @p1050))
% 0.40/0.86  (step @p1054 :rule refl :args (tptp.hoasapinj1))
% 0.40/0.86  (step @p1055 :rule cong :premises (@p1054 @p1053) :args ((= tptp.hoasapinj1 @t822)))
% 0.40/0.86  (step @p1056 :rule cong :premises (@p1039 @p230) :args (@t192))
% 0.40/0.86  (step @p1057 :rule cong :premises (@p1056) :args (@t193))
% 0.40/0.86  (step @p1058 :rule cong :premises (@p1054 @p1057) :args (@t194))
% 0.40/0.86  (step @p1059 :rule trans :premises (@p1058 @p1055))
% 0.40/0.86  (step @p1060 :rule eq_resolve :premises (@p54 @p1059))
% 0.40/0.86  (step @p1061 :rule cong :premises (@p1060 @p1045) :args (@t282))
% 0.40/0.86  (step @p1062 :rule cong :premises (@p170 @p530) :args (@t823))
% 0.40/0.86  (step @p1063 :rule cong :premises (@p1062) :args ((forall @t23 @t823)))
% 0.40/0.86  (step @p1064 :rule eq-symm :args (@t22 @t5))
% 0.40/0.86  (step @p1065 :rule cong :premises (@p1064) :args (@t24))
% 0.40/0.86  (step @p1066 :rule trans :premises (@p1065 @p1063))
% 0.40/0.86  (step @p1067 :rule refl :args ((tptp.sub @t5 @t38)))
% 0.40/0.86  (step @p1068 :rule cong :premises (@p170 @p760) :args (@t373))
% 0.40/0.86  (step @p1069 :rule trans :premises (@p1068 @p1067))
% 0.40/0.86  (step @p1070 :rule refl :args (@t6))
% 0.40/0.86  (step @p1071 :rule ho_cong :premises (@p1070 @p760))
% 0.40/0.86  (step @p1072 :rule cong :premises (@p1071 @p1069) :args ((= (_ @t6 @t353) @t373)))
% 0.40/0.86  (step @p1073 :rule symm :premises (@p1072))
% 0.40/0.86  (step @p1074 :rule refl :args (@t39))
% 0.40/0.86  (step @p1075 :rule eq_resolve :premises (@p1074 @p1073))
% 0.40/0.86  (step @p1076 :rule ho_cong :premises (@p1070 @p777))
% 0.40/0.86  (step @p1077 :rule trans :premises (@p1076 @p1075))
% 0.40/0.86  (step @p1078 :rule refl :args ((tptp.sub @t7 @t37)))
% 0.40/0.86  (step @p1079 :rule refl :args (@t374))
% 0.40/0.86  (step @p1080 :rule cong :premises (@p1079 @p585) :args (@t375))
% 0.40/0.86  (step @p1081 :rule trans :premises (@p1080 @p1078))
% 0.40/0.86  (step @p1082 :rule ho_cong :premises (@p659 @p1079))
% 0.40/0.86  (step @p1083 :rule ho_cong :premises (@p1082 @p585))
% 0.40/0.86  (step @p1084 :rule cong :premises (@p1083 @p1081) :args ((= (_ (_ tptp.sub @t374) @t37) @t375)))
% 0.40/0.86  (step @p1085 :rule symm :premises (@p1084))
% 0.40/0.86  (step @p1086 :rule refl :args (@t40))
% 0.40/0.86  (step @p1087 :rule eq_resolve :premises (@p1086 @p1085))
% 0.40/0.86  (step @p1088 :rule refl :args (@t7))
% 0.40/0.86  (step @p1089 :rule cong :premises (@p1088 @p1079) :args ((= @t7 @t374)))
% 0.40/0.86  (step @p1090 :rule symm :premises (@p1089))
% 0.40/0.86  (step @p1091 :rule eq_resolve :premises (@p1088 @p1090))
% 0.40/0.86  (step @p1092 :rule ho_cong :premises (@p659 @p1091))
% 0.40/0.86  (step @p1093 :rule ho_cong :premises (@p1092 @p585))
% 0.40/0.86  (step @p1094 :rule trans :premises (@p1093 @p1087))
% 0.40/0.86  (step @p1095 :rule cong :premises (@p1094 @p1077) :args (@t41))
% 0.40/0.86  (step @p1096 :rule cong :premises (@p1095) :args (@t43))
% 0.40/0.86  (step @p1097 :rule nary_cong :premises (@p1096 @p1066) :args (@t187))
% 0.40/0.86  (step @p1098 :rule refl :args (tptp.termmset))
% 0.40/0.86  (step @p1099 :rule cong :premises (@p1098 @p1097) :args (@t188))
% 0.40/0.86  (step @p1100 :rule eq_resolve :premises (@p51 @p1099))
% 0.40/0.86  (step @p1101 :rule cong :premises (@p1100 @p1061) :args (@t283))
% 0.40/0.86  (step @p1102 :rule refl :args (@t641))
% 0.40/0.86  (step @p1103 :rule refl :args (@t67))
% 0.40/0.86  (step @p1104 :rule cong :premises (@p1103 @p1102) :args ((= @t67 @t641)))
% 0.40/0.86  (step @p1105 :rule symm :premises (@p1104))
% 0.40/0.86  (step @p1106 :rule eq_resolve :premises (@p1103 @p1105))
% 0.40/0.86  (step @p1107 :rule cong :premises (@p239 @p1106) :args (@t824))
% 0.40/0.86  (step @p1108 :rule cong :premises (@p1107) :args ((forall @t46 @t824)))
% 0.40/0.86  (step @p1109 :rule eq-symm :args (@t67 @t1))
% 0.40/0.86  (step @p1110 :rule cong :premises (@p1109) :args (@t68))
% 0.40/0.86  (step @p1111 :rule trans :premises (@p1110 @p1108))
% 0.40/0.86  (step @p1112 :rule refl :args (@t644))
% 0.40/0.86  (step @p1113 :rule refl :args (@t45))
% 0.40/0.86  (step @p1114 :rule cong :premises (@p1113 @p1112) :args ((= @t45 @t644)))
% 0.40/0.86  (step @p1115 :rule symm :premises (@p1114))
% 0.40/0.86  (step @p1116 :rule eq_resolve :premises (@p1113 @p1115))
% 0.40/0.86  (step @p1117 :rule cong :premises (@p239 @p1116) :args (@t825))
% 0.40/0.86  (step @p1118 :rule cong :premises (@p1117) :args ((forall @t46 @t825)))
% 0.40/0.86  (step @p1119 :rule eq-symm :args (@t45 @t1))
% 0.40/0.86  (step @p1120 :rule cong :premises (@p1119) :args (@t47))
% 0.40/0.86  (step @p1121 :rule trans :premises (@p1120 @p1118))
% 0.40/0.86  (step @p1122 :rule refl :args ((tptp.comp @t1 @t54)))
% 0.40/0.86  (step @p1123 :rule refl :args (@t379))
% 0.40/0.86  (step @p1124 :rule cong :premises (@p239 @p1123) :args (@t380))
% 0.40/0.86  (step @p1125 :rule trans :premises (@p1124 @p1122))
% 0.40/0.86  (step @p1126 :rule refl :args (@t26))
% 0.40/0.86  (step @p1127 :rule ho_cong :premises (@p1126 @p1123))
% 0.40/0.86  (step @p1128 :rule cong :premises (@p1127 @p1125) :args ((= (_ @t26 @t379) @t380)))
% 0.40/0.86  (step @p1129 :rule symm :premises (@p1128))
% 0.40/0.86  (step @p1130 :rule refl :args (@t55))
% 0.40/0.86  (step @p1131 :rule eq_resolve :premises (@p1130 @p1129))
% 0.40/0.86  (step @p1132 :rule refl :args (@t54))
% 0.40/0.86  (step @p1133 :rule cong :premises (@p1132 @p1123) :args ((= @t54 @t379)))
% 0.40/0.86  (step @p1134 :rule symm :premises (@p1133))
% 0.40/0.86  (step @p1135 :rule eq_resolve :premises (@p1132 @p1134))
% 0.40/0.86  (step @p1136 :rule ho_cong :premises (@p1126 @p1135))
% 0.40/0.86  (step @p1137 :rule trans :premises (@p1136 @p1131))
% 0.40/0.86  (step @p1138 :rule refl :args ((tptp.comp @t38 @t53)))
% 0.40/0.86  (step @p1139 :rule refl :args (@t53))
% 0.40/0.86  (step @p1140 :rule cong :premises (@p760 @p1139) :args (@t381))
% 0.40/0.86  (step @p1141 :rule trans :premises (@p1140 @p1138))
% 0.40/0.86  (step @p1142 :rule refl :args (tptp.comp))
% 0.40/0.86  (step @p1143 :rule ho_cong :premises (@p1142 @p760))
% 0.40/0.86  (step @p1144 :rule ho_cong :premises (@p1143 @p1139))
% 0.40/0.86  (step @p1145 :rule cong :premises (@p1144 @p1141) :args ((= (_ (_ tptp.comp @t353) @t53) @t381)))
% 0.40/0.86  (step @p1146 :rule symm :premises (@p1145))
% 0.40/0.86  (step @p1147 :rule refl :args (@t56))
% 0.40/0.86  (step @p1148 :rule eq_resolve :premises (@p1147 @p1146))
% 0.40/0.86  (step @p1149 :rule ho_cong :premises (@p1142 @p777))
% 0.40/0.86  (step @p1150 :rule ho_cong :premises (@p1149 @p1139))
% 0.40/0.86  (step @p1151 :rule trans :premises (@p1150 @p1148))
% 0.40/0.86  (step @p1152 :rule cong :premises (@p1151 @p1137) :args (@t57))
% 0.40/0.86  (step @p1153 :rule cong :premises (@p1152) :args (@t59))
% 0.40/0.86  (step @p1154 :rule nary_cong :premises (@p1153 @p1121 @p1111) :args (@t185))
% 0.40/0.86  (step @p1155 :rule refl :args (tptp.substmonoid))
% 0.40/0.86  (step @p1156 :rule cong :premises (@p1155 @p1154) :args (@t186))
% 0.40/0.86  (step @p1157 :rule eq_resolve :premises (@p48 @p1156))
% 0.40/0.86  (step @p1158 :rule cong :premises (@p1157 @p1101) :args (@t284))
% 0.40/0.86  (step @p1159 :rule quant-merge-prenex :args ((= (forall @t92 @t827) @t659)))
% 0.40/0.86  (step @p1160 :rule alpha_equiv :args (@t828 (@list @t383) @t829))
% 0.40/0.86  (step @p1161 :rule refl :args (@t657))
% 0.40/0.86  (step @p1162 :rule refl :args (@t395))
% 0.40/0.86  (step @p1163 :rule refl :args (@t399))
% 0.40/0.86  (step @p1164 :rule nary_cong :premises (@p1163 @p1162 @p1161 @p1160) :args (@t830))
% 0.40/0.86  (step @p1165 :rule quant-miniscope-or :args ((= @t827 @t830)))
% 0.40/0.86  (step @p1166 :rule trans :premises (@p1165 @p1164))
% 0.40/0.86  (step @p1167 :rule symm :premises (@p1166))
% 0.40/0.86  (step @p1168 :rule cong :premises (@p1167) :args ((forall @t92 @t832)))
% 0.40/0.86  (step @p1169 :rule trans :premises (@p1168 @p1159))
% 0.40/0.86  (step @p1170 :rule aci_norm :args ((= (or @t399 @t833) @t832)))
% 0.40/0.86  (step @p1171 :rule aci_norm :args ((= (or @t395 (or @t657 @t831)) @t833)))
% 0.40/0.86  (step @p1172 :rule bool-impl-elim :args (@t656 @t831))
% 0.40/0.86  (step @p1173 :rule nary_cong :premises (@p1162 @p1172) :args ((or @t395 @t834)))
% 0.40/0.86  (step @p1174 :rule trans :premises (@p1173 @p1171))
% 0.40/0.86  (step @p1175 :rule bool-impl-elim :args (@t394 @t834))
% 0.40/0.86  (step @p1176 :rule trans :premises (@p1175 @p1174))
% 0.40/0.86  (step @p1177 :rule nary_cong :premises (@p1163 @p1176) :args ((or @t399 @t835)))
% 0.40/0.86  (step @p1178 :rule trans :premises (@p1177 @p1170))
% 0.40/0.86  (step @p1179 :rule bool-impl-elim :args (@t398 @t835))
% 0.40/0.86  (step @p1180 :rule trans :premises (@p1179 @p1178))
% 0.40/0.86  (step @p1181 :rule cong :premises (@p1180) :args ((forall @t92 (=> @t398 @t835))))
% 0.40/0.86  (step @p1182 :rule trans :premises (@p1181 @p1169))
% 0.40/0.86  (step @p1183 :rule refl :args (@t392))
% 0.40/0.86  (step @p1184 :rule refl :args (@t84))
% 0.40/0.86  (step @p1185 :rule cong :premises (@p1184 @p1183) :args ((= @t84 @t392)))
% 0.40/0.86  (step @p1186 :rule symm :premises (@p1185))
% 0.40/0.86  (step @p1187 :rule eq_resolve :premises (@p1184 @p1186))
% 0.40/0.86  (step @p1188 :rule cong :premises (@p1187) :args (@t131))
% 0.40/0.86  (step @p1189 :rule refl :args ((_ @t83 @t32)))
% 0.40/0.86  (step @p1190 :rule refl :args (@t385))
% 0.40/0.86  (step @p1191 :rule cong :premises (@p1190) :args (@t386))
% 0.40/0.86  (step @p1192 :rule trans :premises (@p1191 @p1189))
% 0.40/0.86  (step @p1193 :rule refl :args (@t83))
% 0.40/0.86  (step @p1194 :rule ho_cong :premises (@p1193 @p1190))
% 0.40/0.86  (step @p1195 :rule cong :premises (@p1194 @p1192) :args ((= (_ @t83 @t385) @t386)))
% 0.40/0.86  (step @p1196 :rule symm :premises (@p1195))
% 0.40/0.86  (step @p1197 :rule refl :args (@t132))
% 0.40/0.86  (step @p1198 :rule eq_resolve :premises (@p1197 @p1196))
% 0.40/0.86  (step @p1199 :rule refl :args (@t32))
% 0.40/0.86  (step @p1200 :rule cong :premises (@p1199 @p1190) :args ((= @t32 @t385)))
% 0.40/0.86  (step @p1201 :rule symm :premises (@p1200))
% 0.40/0.86  (step @p1202 :rule eq_resolve :premises (@p1199 @p1201))
% 0.40/0.86  (step @p1203 :rule ho_cong :premises (@p1193 @p1202))
% 0.40/0.86  (step @p1204 :rule trans :premises (@p1203 @p1198))
% 0.40/0.86  (step @p1205 :rule refl :args (@t654))
% 0.40/0.86  (step @p1206 :rule nary_cong :premises (@p1205 @p1204) :args (@t836))
% 0.40/0.86  (step @p1207 :rule cong :premises (@p1206) :args ((forall @t23 @t836)))
% 0.40/0.86  (step @p1208 :rule bool-impl-elim :args (@t653 @t132))
% 0.40/0.86  (step @p1209 :rule cong :premises (@p1208) :args ((forall @t23 (=> @t653 @t132))))
% 0.40/0.86  (step @p1210 :rule trans :premises (@p1209 @p1207))
% 0.40/0.86  (step @p1211 :rule refl :args (@t132))
% 0.40/0.86  (step @p1212 :rule refl :args ((_ @t83 @t169)))
% 0.40/0.86  (step @p1213 :rule refl :args ((tptp.sub @t5 @t168)))
% 0.40/0.86  (step @p1214 :rule refl :args (@t649))
% 0.40/0.86  (step @p1215 :rule cong :premises (@p170 @p1214) :args (@t650))
% 0.40/0.86  (step @p1216 :rule trans :premises (@p1215 @p1213))
% 0.40/0.86  (step @p1217 :rule cong :premises (@p1216) :args (@t651))
% 0.40/0.86  (step @p1218 :rule trans :premises (@p1217 @p1212))
% 0.40/0.86  (step @p1219 :rule ho_cong :premises (@p1193 @p1216))
% 0.40/0.86  (step @p1220 :rule cong :premises (@p1219 @p1218) :args ((= (_ @t83 @t650) @t651)))
% 0.40/0.86  (step @p1221 :rule symm :premises (@p1220))
% 0.40/0.86  (step @p1222 :rule refl :args (@t170))
% 0.40/0.86  (step @p1223 :rule eq_resolve :premises (@p1222 @p1221))
% 0.40/0.86  (step @p1224 :rule ho_cong :premises (@p1070 @p1214))
% 0.40/0.86  (step @p1225 :rule cong :premises (@p1224 @p1216) :args ((= (_ @t6 @t649) @t650)))
% 0.40/0.86  (step @p1226 :rule symm :premises (@p1225))
% 0.40/0.86  (step @p1227 :rule refl :args (@t169))
% 0.40/0.86  (step @p1228 :rule eq_resolve :premises (@p1227 @p1226))
% 0.40/0.86  (step @p1229 :rule refl :args (@t168))
% 0.40/0.86  (step @p1230 :rule cong :premises (@p1229 @p1214) :args ((= @t168 @t649)))
% 0.40/0.86  (step @p1231 :rule symm :premises (@p1230))
% 0.40/0.86  (step @p1232 :rule eq_resolve :premises (@p1229 @p1231))
% 0.40/0.86  (step @p1233 :rule ho_cong :premises (@p1070 @p1232))
% 0.40/0.86  (step @p1234 :rule trans :premises (@p1233 @p1228))
% 0.40/0.86  (step @p1235 :rule ho_cong :premises (@p1193 @p1234))
% 0.40/0.86  (step @p1236 :rule trans :premises (@p1235 @p1223))
% 0.40/0.86  (step @p1237 :rule refl :args (@t387))
% 0.40/0.86  (step @p1238 :rule refl :args (@t136))
% 0.40/0.86  (step @p1239 :rule cong :premises (@p1238 @p1237) :args ((= @t136 @t387)))
% 0.40/0.86  (step @p1240 :rule symm :premises (@p1239))
% 0.40/0.86  (step @p1241 :rule eq_resolve :premises (@p1238 @p1240))
% 0.40/0.86  (step @p1242 :rule cong :premises (@p1241) :args (@t837))
% 0.40/0.86  (step @p1243 :rule nary_cong :premises (@p1242 @p1236) :args (@t838))
% 0.40/0.86  (step @p1244 :rule cong :premises (@p1243) :args ((forall @t154 @t838)))
% 0.40/0.86  (step @p1245 :rule bool-impl-elim :args (@t136 @t170))
% 0.40/0.86  (step @p1246 :rule cong :premises (@p1245) :args (@t171))
% 0.40/0.86  (step @p1247 :rule trans :premises (@p1246 @p1244))
% 0.40/0.86  (step @p1248 :rule cong :premises (@p1247 @p1211) :args (@t172))
% 0.40/0.86  (step @p1249 :rule cong :premises (@p1248) :args (@t173))
% 0.40/0.86  (step @p1250 :rule trans :premises (@p1249 @p1210))
% 0.40/0.86  (step @p1251 :rule cong :premises (@p1250 @p1188) :args (@t179))
% 0.40/0.86  (step @p1252 :rule refl :args ((_ @t83 @t10)))
% 0.40/0.86  (step @p1253 :rule cong :premises (@p467) :args (@t391))
% 0.40/0.86  (step @p1254 :rule trans :premises (@p1253 @p1252))
% 0.40/0.86  (step @p1255 :rule ho_cong :premises (@p1193 @p467))
% 0.40/0.86  (step @p1256 :rule cong :premises (@p1255 @p1254) :args ((= (_ @t83 @t390) @t391)))
% 0.40/0.86  (step @p1257 :rule symm :premises (@p1256))
% 0.40/0.86  (step @p1258 :rule refl :args (@t135))
% 0.40/0.86  (step @p1259 :rule eq_resolve :premises (@p1258 @p1257))
% 0.40/0.86  (step @p1260 :rule ho_cong :premises (@p1193 @p480))
% 0.40/0.86  (step @p1261 :rule trans :premises (@p1260 @p1259))
% 0.40/0.86  (step @p1262 :rule cong :premises (@p1187) :args (@t839))
% 0.40/0.86  (step @p1263 :rule nary_cong :premises (@p1262 @p1242 @p1261) :args (@t840))
% 0.40/0.86  (step @p1264 :rule cong :premises (@p1263) :args ((forall @t110 @t840)))
% 0.40/0.86  (step @p1265 :rule aci_norm :args ((= (or @t839 (or @t837 @t135)) @t840)))
% 0.40/0.86  (step @p1266 :rule bool-impl-elim :args (@t136 @t135))
% 0.40/0.86  (step @p1267 :rule refl :args (@t839))
% 0.40/0.86  (step @p1268 :rule nary_cong :premises (@p1267 @p1266) :args ((or @t839 @t137)))
% 0.40/0.86  (step @p1269 :rule trans :premises (@p1268 @p1265))
% 0.40/0.86  (step @p1270 :rule bool-impl-elim :args (@t84 @t137))
% 0.40/0.86  (step @p1271 :rule trans :premises (@p1270 @p1269))
% 0.40/0.86  (step @p1272 :rule cong :premises (@p1271) :args (@t138))
% 0.40/0.86  (step @p1273 :rule trans :premises (@p1272 @p1264))
% 0.40/0.86  (step @p1274 :rule cong :premises (@p1273 @p1251) :args (@t180))
% 0.40/0.86  (step @p1275 :rule refl :args (@t396))
% 0.40/0.86  (step @p1276 :rule refl :args (@t80))
% 0.40/0.86  (step @p1277 :rule cong :premises (@p1276 @p1275) :args ((= @t80 @t396)))
% 0.40/0.86  (step @p1278 :rule symm :premises (@p1277))
% 0.40/0.86  (step @p1279 :rule eq_resolve :premises (@p1276 @p1278))
% 0.40/0.86  (step @p1280 :rule cong :premises (@p1279) :args (@t841))
% 0.40/0.86  (step @p1281 :rule nary_cong :premises (@p1280 @p1187) :args (@t842))
% 0.40/0.86  (step @p1282 :rule cong :premises (@p1281) :args ((forall @t23 @t842)))
% 0.40/0.86  (step @p1283 :rule bool-impl-elim :args (@t80 @t84))
% 0.40/0.86  (step @p1284 :rule cong :premises (@p1283) :args (@t85))
% 0.40/0.86  (step @p1285 :rule trans :premises (@p1284 @p1282))
% 0.40/0.86  (step @p1286 :rule cong :premises (@p1285 @p1274) :args (@t181))
% 0.40/0.86  (step @p1287 :rule cong :premises (@p1286) :args (@t182))
% 0.40/0.86  (step @p1288 :rule trans :premises (@p1287 @p1182))
% 0.40/0.86  (step @p1289 :rule refl :args (tptp.induction2))
% 0.40/0.86  (step @p1290 :rule cong :premises (@p1289 @p1288) :args (@t183))
% 0.40/0.86  (step @p1291 :rule eq_resolve :premises (@p45 @p1290))
% 0.40/0.86  (step @p1292 :rule cong :premises (@p1291 @p1158) :args (@t285))
% 0.40/0.86  (step @p1293 :rule aci_norm :args ((= @t844 @t661)))
% 0.40/0.86  (step @p1294 :rule cong :premises (@p1293) :args (@t845))
% 0.40/0.86  (step @p1295 :rule quant-merge-prenex :args ((= (forall @t92 @t847) @t845)))
% 0.40/0.86  (step @p1296 :rule alpha_equiv :args (@t848 (@list @t402 @t401) (@list @t5 @t1)))
% 0.40/0.86  (step @p1297 :rule nary_cong :premises (@p1162 @p1161 @p1296) :args (@t849))
% 0.40/0.86  (step @p1298 :rule quant-miniscope-or :args ((= @t847 @t849)))
% 0.40/0.86  (step @p1299 :rule trans :premises (@p1298 @p1297))
% 0.40/0.86  (step @p1300 :rule symm :premises (@p1299))
% 0.40/0.86  (step @p1301 :rule cong :premises (@p1300) :args ((forall @t92 @t852)))
% 0.40/0.86  (step @p1302 :rule trans :premises (@p1301 @p1295))
% 0.40/0.86  (step @p1303 :rule trans :premises (@p1302 @p1294))
% 0.40/0.86  (step @p1304 :rule aci_norm :args ((= (or @t395 (or @t657 @t851)) @t852)))
% 0.40/0.86  (step @p1305 :rule bool-impl-elim :args (@t656 @t851))
% 0.40/0.86  (step @p1306 :rule nary_cong :premises (@p1162 @p1305) :args ((or @t395 @t853)))
% 0.40/0.86  (step @p1307 :rule trans :premises (@p1306 @p1304))
% 0.40/0.86  (step @p1308 :rule bool-impl-elim :args (@t394 @t853))
% 0.40/0.86  (step @p1309 :rule trans :premises (@p1308 @p1307))
% 0.40/0.86  (step @p1310 :rule cong :premises (@p1309) :args ((forall @t92 (=> @t394 @t853))))
% 0.40/0.86  (step @p1311 :rule trans :premises (@p1310 @p1303))
% 0.40/0.86  (step @p1312 :rule refl :args ((_ @t83 @t7)))
% 0.40/0.86  (step @p1313 :rule cong :premises (@p1079) :args (@t850))
% 0.40/0.86  (step @p1314 :rule trans :premises (@p1313 @p1312))
% 0.40/0.86  (step @p1315 :rule ho_cong :premises (@p1193 @p1079))
% 0.40/0.86  (step @p1316 :rule cong :premises (@p1315 @p1314) :args ((= (_ @t83 @t374) @t850)))
% 0.40/0.86  (step @p1317 :rule symm :premises (@p1316))
% 0.40/0.86  (step @p1318 :rule refl :args (@t165))
% 0.40/0.86  (step @p1319 :rule eq_resolve :premises (@p1318 @p1317))
% 0.40/0.86  (step @p1320 :rule ho_cong :premises (@p1193 @p1091))
% 0.40/0.86  (step @p1321 :rule trans :premises (@p1320 @p1319))
% 0.40/0.86  (step @p1322 :rule refl :args (@t415))
% 0.40/0.86  (step @p1323 :rule nary_cong :premises (@p1322 @p1321) :args (@t854))
% 0.40/0.86  (step @p1324 :rule cong :premises (@p1323) :args ((forall @t19 @t854)))
% 0.40/0.86  (step @p1325 :rule bool-impl-elim :args (@t414 @t165))
% 0.40/0.86  (step @p1326 :rule cong :premises (@p1325) :args ((forall @t19 (=> @t414 @t165))))
% 0.40/0.86  (step @p1327 :rule trans :premises (@p1326 @p1324))
% 0.40/0.86  (step @p1328 :rule refl :args (@t165))
% 0.40/0.86  (step @p1329 :rule refl :args ((_ @t83 @t4)))
% 0.40/0.86  (step @p1330 :rule refl :args (@t412))
% 0.40/0.86  (step @p1331 :rule cong :premises (@p1330) :args (@t413))
% 0.40/0.86  (step @p1332 :rule trans :premises (@p1331 @p1329))
% 0.40/0.86  (step @p1333 :rule ho_cong :premises (@p1193 @p1330))
% 0.40/0.86  (step @p1334 :rule cong :premises (@p1333 @p1332) :args ((= (_ @t83 @t412) @t413)))
% 0.40/0.86  (step @p1335 :rule symm :premises (@p1334))
% 0.40/0.86  (step @p1336 :rule refl :args (@t152))
% 0.40/0.86  (step @p1337 :rule eq_resolve :premises (@p1336 @p1335))
% 0.40/0.86  (step @p1338 :rule refl :args (@t4))
% 0.40/0.86  (step @p1339 :rule cong :premises (@p1338 @p1330) :args ((= @t4 @t412)))
% 0.40/0.86  (step @p1340 :rule symm :premises (@p1339))
% 0.40/0.86  (step @p1341 :rule eq_resolve :premises (@p1338 @p1340))
% 0.40/0.86  (step @p1342 :rule ho_cong :premises (@p1193 @p1341))
% 0.40/0.86  (step @p1343 :rule trans :premises (@p1342 @p1337))
% 0.40/0.86  (step @p1344 :rule refl :args (@t404))
% 0.40/0.86  (step @p1345 :rule refl :args (@t153))
% 0.40/0.86  (step @p1346 :rule cong :premises (@p1345 @p1344) :args ((= @t153 @t404)))
% 0.40/0.86  (step @p1347 :rule symm :premises (@p1346))
% 0.40/0.86  (step @p1348 :rule eq_resolve :premises (@p1345 @p1347))
% 0.40/0.86  (step @p1349 :rule cong :premises (@p1348) :args (@t855))
% 0.40/0.86  (step @p1350 :rule nary_cong :premises (@p1349 @p1343) :args (@t856))
% 0.40/0.86  (step @p1351 :rule cong :premises (@p1350) :args ((forall @t154 @t856)))
% 0.40/0.86  (step @p1352 :rule bool-impl-elim :args (@t153 @t152))
% 0.40/0.86  (step @p1353 :rule cong :premises (@p1352) :args (@t155))
% 0.40/0.86  (step @p1354 :rule trans :premises (@p1353 @p1351))
% 0.40/0.86  (step @p1355 :rule cong :premises (@p1354 @p1328) :args (@t166))
% 0.40/0.86  (step @p1356 :rule cong :premises (@p1355) :args (@t167))
% 0.40/0.86  (step @p1357 :rule trans :premises (@p1356 @p1327))
% 0.40/0.86  (step @p1358 :rule cong :premises (@p1250 @p1357) :args (@t174))
% 0.40/0.86  (step @p1359 :rule cong :premises (@p1273 @p1358) :args (@t175))
% 0.40/0.86  (step @p1360 :rule cong :premises (@p1359) :args (@t176))
% 0.40/0.86  (step @p1361 :rule trans :premises (@p1360 @p1311))
% 0.40/0.86  (step @p1362 :rule refl :args (tptp.induction2lem))
% 0.40/0.86  (step @p1363 :rule cong :premises (@p1362 @p1361) :args (@t177))
% 0.40/0.86  (step @p1364 :rule eq_resolve :premises (@p42 @p1363))
% 0.40/0.86  (step @p1365 :rule cong :premises (@p1364 @p1292) :args (@t286))
% 0.40/0.86  (step @p1366 :rule aci_norm :args ((= @t858 @t416)))
% 0.40/0.86  (step @p1367 :rule cong :premises (@p1366) :args (@t859))
% 0.40/0.86  (step @p1368 :rule quant-merge-prenex :args ((= (forall @t146 @t861) @t859)))
% 0.40/0.86  (step @p1369 :rule alpha_equiv :args (@t862 (@list @t409) @t816))
% 0.40/0.86  (step @p1370 :rule refl :args (@t393))
% 0.40/0.86  (step @p1371 :rule nary_cong :premises (@p1322 @p1370 @p1369) :args (@t863))
% 0.40/0.86  (step @p1372 :rule quant-miniscope-or :args ((= @t861 @t863)))
% 0.40/0.86  (step @p1373 :rule trans :premises (@p1372 @p1371))
% 0.40/0.86  (step @p1374 :rule symm :premises (@p1373))
% 0.40/0.86  (step @p1375 :rule cong :premises (@p1374) :args ((forall @t146 (or @t415 @t393 @t866))))
% 0.40/0.86  (step @p1376 :rule trans :premises (@p1375 @p1368))
% 0.40/0.86  (step @p1377 :rule trans :premises (@p1376 @p1367))
% 0.40/0.86  (step @p1378 :rule refl :args (@t866))
% 0.40/0.86  (step @p1379 :rule nary_cong :premises (@p1322 @p1262 @p1378) :args (@t867))
% 0.40/0.86  (step @p1380 :rule cong :premises (@p1379) :args ((forall @t146 @t867)))
% 0.40/0.86  (step @p1381 :rule trans :premises (@p1380 @p1377))
% 0.40/0.86  (step @p1382 :rule aci_norm :args ((= (or @t415 (or @t839 @t866)) @t867)))
% 0.40/0.86  (step @p1383 :rule bool-impl-elim :args (@t84 @t866))
% 0.40/0.86  (step @p1384 :rule nary_cong :premises (@p1322 @p1383) :args ((or @t415 @t868)))
% 0.40/0.86  (step @p1385 :rule trans :premises (@p1384 @p1382))
% 0.40/0.86  (step @p1386 :rule bool-impl-elim :args (@t414 @t868))
% 0.40/0.86  (step @p1387 :rule trans :premises (@p1386 @p1385))
% 0.40/0.86  (step @p1388 :rule cong :premises (@p1387) :args ((forall @t146 (=> @t414 @t868))))
% 0.40/0.86  (step @p1389 :rule trans :premises (@p1388 @p1381))
% 0.40/0.86  (step @p1390 :rule refl :args ((_ @t83 @t156)))
% 0.40/0.86  (step @p1391 :rule refl :args ((tptp.sub @t2 @t16)))
% 0.40/0.86  (step @p1392 :rule refl :args (@t408))
% 0.40/0.86  (step @p1393 :rule cong :premises (@p169 @p1392) :args (@t864))
% 0.40/0.86  (step @p1394 :rule trans :premises (@p1393 @p1391))
% 0.40/0.86  (step @p1395 :rule cong :premises (@p1394) :args (@t865))
% 0.40/0.86  (step @p1396 :rule trans :premises (@p1395 @p1390))
% 0.40/0.86  (step @p1397 :rule ho_cong :premises (@p1193 @p1394))
% 0.40/0.86  (step @p1398 :rule cong :premises (@p1397 @p1396) :args ((= (_ @t83 @t864) @t865)))
% 0.40/0.86  (step @p1399 :rule symm :premises (@p1398))
% 0.40/0.86  (step @p1400 :rule refl :args (@t157))
% 0.40/0.86  (step @p1401 :rule eq_resolve :premises (@p1400 @p1399))
% 0.40/0.86  (step @p1402 :rule refl :args (@t3))
% 0.40/0.86  (step @p1403 :rule ho_cong :premises (@p1402 @p1392))
% 0.40/0.86  (step @p1404 :rule cong :premises (@p1403 @p1394) :args ((= (_ @t3 @t408) @t864)))
% 0.40/0.86  (step @p1405 :rule symm :premises (@p1404))
% 0.40/0.86  (step @p1406 :rule refl :args (@t156))
% 0.40/0.86  (step @p1407 :rule eq_resolve :premises (@p1406 @p1405))
% 0.40/0.86  (step @p1408 :rule refl :args (@t16))
% 0.40/0.86  (step @p1409 :rule cong :premises (@p1408 @p1392) :args ((= @t16 @t408)))
% 0.40/0.86  (step @p1410 :rule symm :premises (@p1409))
% 0.40/0.86  (step @p1411 :rule eq_resolve :premises (@p1408 @p1410))
% 0.40/0.86  (step @p1412 :rule ho_cong :premises (@p1402 @p1411))
% 0.40/0.86  (step @p1413 :rule trans :premises (@p1412 @p1407))
% 0.40/0.86  (step @p1414 :rule ho_cong :premises (@p1193 @p1413))
% 0.40/0.86  (step @p1415 :rule trans :premises (@p1414 @p1401))
% 0.40/0.86  (step @p1416 :rule nary_cong :premises (@p1349 @p1415) :args (@t869))
% 0.40/0.86  (step @p1417 :rule cong :premises (@p1416) :args ((forall @t154 @t869)))
% 0.40/0.86  (step @p1418 :rule bool-impl-elim :args (@t153 @t157))
% 0.40/0.86  (step @p1419 :rule cong :premises (@p1418) :args (@t158))
% 0.40/0.86  (step @p1420 :rule trans :premises (@p1419 @p1417))
% 0.40/0.86  (step @p1421 :rule refl :args (@t84))
% 0.40/0.86  (step @p1422 :rule cong :premises (@p1421 @p1420) :args (@t160))
% 0.40/0.86  (step @p1423 :rule cong :premises (@p1354 @p1422) :args (@t161))
% 0.40/0.86  (step @p1424 :rule cong :premises (@p1423) :args (@t162))
% 0.40/0.86  (step @p1425 :rule trans :premises (@p1424 @p1389))
% 0.40/0.86  (step @p1426 :rule refl :args (tptp.pushprop))
% 0.40/0.86  (step @p1427 :rule cong :premises (@p1426 @p1425) :args (@t163))
% 0.40/0.86  (step @p1428 :rule eq_resolve :premises (@p38 @p1427))
% 0.40/0.86  (step @p1429 :rule cong :premises (@p1428 @p1365) :args (@t287))
% 0.40/0.86  (step @p1430 :rule quant-merge-prenex :args ((= (forall @t92 @t871) @t424)))
% 0.40/0.86  (step @p1431 :rule alpha_equiv :args (@t872 (@list @t419) @t829))
% 0.40/0.86  (step @p1432 :rule refl :args (@t422))
% 0.40/0.86  (step @p1433 :rule nary_cong :premises (@p1163 @p1162 @p1432 @p1431) :args (@t873))
% 0.40/0.86  (step @p1434 :rule quant-miniscope-or :args ((= @t871 @t873)))
% 0.40/0.86  (step @p1435 :rule trans :premises (@p1434 @p1433))
% 0.40/0.86  (step @p1436 :rule symm :premises (@p1435))
% 0.40/0.86  (step @p1437 :rule cong :premises (@p1436) :args ((forall @t92 @t874)))
% 0.40/0.86  (step @p1438 :rule trans :premises (@p1437 @p1430))
% 0.40/0.86  (step @p1439 :rule aci_norm :args ((= (or @t399 @t875) @t874)))
% 0.40/0.86  (step @p1440 :rule aci_norm :args ((= (or @t395 (or @t422 @t831)) @t875)))
% 0.40/0.86  (step @p1441 :rule bool-impl-elim :args (@t421 @t831))
% 0.40/0.86  (step @p1442 :rule nary_cong :premises (@p1162 @p1441) :args ((or @t395 @t876)))
% 0.40/0.86  (step @p1443 :rule trans :premises (@p1442 @p1440))
% 0.40/0.86  (step @p1444 :rule bool-impl-elim :args (@t394 @t876))
% 0.40/0.86  (step @p1445 :rule trans :premises (@p1444 @p1443))
% 0.40/0.86  (step @p1446 :rule nary_cong :premises (@p1163 @p1445) :args ((or @t399 @t877)))
% 0.40/0.86  (step @p1447 :rule trans :premises (@p1446 @p1439))
% 0.40/0.86  (step @p1448 :rule bool-impl-elim :args (@t398 @t877))
% 0.40/0.86  (step @p1449 :rule trans :premises (@p1448 @p1447))
% 0.40/0.86  (step @p1450 :rule cong :premises (@p1449) :args ((forall @t92 (=> @t398 @t877))))
% 0.40/0.86  (step @p1451 :rule trans :premises (@p1450 @p1438))
% 0.40/0.86  (step @p1452 :rule nary_cong :premises (@p1262 @p1204) :args (@t878))
% 0.40/0.86  (step @p1453 :rule cong :premises (@p1452) :args ((forall @t23 @t878)))
% 0.40/0.86  (step @p1454 :rule bool-impl-elim :args (@t84 @t132))
% 0.40/0.86  (step @p1455 :rule cong :premises (@p1454) :args (@t133))
% 0.40/0.86  (step @p1456 :rule trans :premises (@p1455 @p1453))
% 0.40/0.86  (step @p1457 :rule cong :premises (@p1456 @p1188) :args (@t134))
% 0.40/0.86  (step @p1458 :rule cong :premises (@p1273 @p1457) :args (@t139))
% 0.40/0.86  (step @p1459 :rule cong :premises (@p1285 @p1458) :args (@t140))
% 0.40/0.86  (step @p1460 :rule cong :premises (@p1459) :args (@t141))
% 0.40/0.86  (step @p1461 :rule trans :premises (@p1460 @p1451))
% 0.40/0.86  (step @p1462 :rule refl :args (tptp.induction))
% 0.40/0.86  (step @p1463 :rule cong :premises (@p1462 @p1461) :args (@t142))
% 0.40/0.86  (step @p1464 :rule eq_resolve :premises (@p23 @p1463))
% 0.40/0.86  (step @p1465 :rule cong :premises (@p1464 @p1429) :args (@t288))
% 0.40/0.86  (step @p1466 :rule refl :args ((tptp.var @t32)))
% 0.40/0.86  (step @p1467 :rule cong :premises (@p1190) :args (@t425))
% 0.40/0.86  (step @p1468 :rule trans :premises (@p1467 @p1466))
% 0.40/0.86  (step @p1469 :rule ho_cong :premises (@p653 @p1190))
% 0.40/0.86  (step @p1470 :rule cong :premises (@p1469 @p1468) :args ((= (_ tptp.var @t385) @t425)))
% 0.40/0.86  (step @p1471 :rule symm :premises (@p1470))
% 0.40/0.86  (step @p1472 :rule refl :args (@t127))
% 0.40/0.86  (step @p1473 :rule eq_resolve :premises (@p1472 @p1471))
% 0.40/0.86  (step @p1474 :rule ho_cong :premises (@p653 @p1202))
% 0.40/0.86  (step @p1475 :rule trans :premises (@p1474 @p1473))
% 0.40/0.86  (step @p1476 :rule cong :premises (@p1475) :args (@t128))
% 0.40/0.86  (step @p1477 :rule cong :premises (@p1476) :args (@t129))
% 0.40/0.86  (step @p1478 :rule refl :args (tptp.lamnotvar))
% 0.40/0.86  (step @p1479 :rule cong :premises (@p1478 @p1477) :args (@t130))
% 0.40/0.86  (step @p1480 :rule eq_resolve :premises (@p22 @p1479))
% 0.40/0.86  (step @p1481 :rule cong :premises (@p1480 @p1465) :args (@t289))
% 0.40/0.86  (step @p1482 :rule refl :args ((tptp.var @t10)))
% 0.40/0.86  (step @p1483 :rule cong :premises (@p467) :args (@t427))
% 0.40/0.86  (step @p1484 :rule trans :premises (@p1483 @p1482))
% 0.40/0.86  (step @p1485 :rule ho_cong :premises (@p653 @p467))
% 0.40/0.86  (step @p1486 :rule cong :premises (@p1485 @p1484) :args ((= (_ tptp.var @t390) @t427)))
% 0.40/0.86  (step @p1487 :rule symm :premises (@p1486))
% 0.40/0.86  (step @p1488 :rule refl :args (@t123))
% 0.40/0.86  (step @p1489 :rule eq_resolve :premises (@p1488 @p1487))
% 0.40/0.86  (step @p1490 :rule ho_cong :premises (@p653 @p480))
% 0.40/0.86  (step @p1491 :rule trans :premises (@p1490 @p1489))
% 0.40/0.86  (step @p1492 :rule cong :premises (@p1491) :args (@t124))
% 0.40/0.86  (step @p1493 :rule cong :premises (@p1492) :args (@t125))
% 0.40/0.86  (step @p1494 :rule refl :args (tptp.apnotvar))
% 0.40/0.86  (step @p1495 :rule cong :premises (@p1494 @p1493) :args (@t126))
% 0.40/0.86  (step @p1496 :rule eq_resolve :premises (@p21 @p1495))
% 0.40/0.86  (step @p1497 :rule cong :premises (@p1496 @p1481) :args (@t290))
% 0.40/0.86  (step @p1498 :rule refl :args (@t429))
% 0.40/0.86  (step @p1499 :rule refl :args (@t117))
% 0.40/0.86  (step @p1500 :rule cong :premises (@p1499 @p1498) :args ((= @t117 @t429)))
% 0.40/0.86  (step @p1501 :rule symm :premises (@p1500))
% 0.40/0.86  (step @p1502 :rule eq_resolve :premises (@p1499 @p1501))
% 0.40/0.86  (step @p1503 :rule cong :premises (@p1202 @p1502) :args (@t118))
% 0.40/0.86  (step @p1504 :rule cong :premises (@p1503) :args (@t119))
% 0.40/0.86  (step @p1505 :rule cong :premises (@p1504) :args (@t121))
% 0.40/0.86  (step @p1506 :rule refl :args (tptp.lamnotap))
% 0.40/0.86  (step @p1507 :rule cong :premises (@p1506 @p1505) :args (@t122))
% 0.40/0.86  (step @p1508 :rule eq_resolve :premises (@p20 @p1507))
% 0.40/0.86  (step @p1509 :rule cong :premises (@p1508 @p1497) :args (@t291))
% 0.40/0.86  (step @p1510 :rule refl :args (@t431))
% 0.40/0.86  (step @p1511 :rule refl :args (@t113))
% 0.40/0.86  (step @p1512 :rule cong :premises (@p1511 @p1510) :args ((= @t113 @t431)))
% 0.40/0.86  (step @p1513 :rule symm :premises (@p1512))
% 0.40/0.86  (step @p1514 :rule eq_resolve :premises (@p1511 @p1513))
% 0.40/0.86  (step @p1515 :rule refl :args (@t432))
% 0.40/0.86  (step @p1516 :rule refl :args (@t78))
% 0.40/0.86  (step @p1517 :rule cong :premises (@p1516 @p1515) :args ((= @t78 @t432)))
% 0.40/0.86  (step @p1518 :rule symm :premises (@p1517))
% 0.40/0.86  (step @p1519 :rule eq_resolve :premises (@p1516 @p1518))
% 0.40/0.86  (step @p1520 :rule cong :premises (@p1519 @p1514) :args (@t114))
% 0.40/0.86  (step @p1521 :rule cong :premises (@p1520) :args (@t879))
% 0.40/0.86  (step @p1522 :rule nary_cong :premises (@p1521 @p227) :args (@t880))
% 0.40/0.86  (step @p1523 :rule cong :premises (@p1522) :args ((forall @t110 @t880)))
% 0.40/0.86  (step @p1524 :rule bool-impl-elim :args (@t114 @t95))
% 0.40/0.86  (step @p1525 :rule cong :premises (@p1524) :args (@t115))
% 0.40/0.86  (step @p1526 :rule trans :premises (@p1525 @p1523))
% 0.40/0.86  (step @p1527 :rule refl :args (tptp.shinj))
% 0.40/0.86  (step @p1528 :rule cong :premises (@p1527 @p1526) :args (@t116))
% 0.40/0.86  (step @p1529 :rule eq_resolve :premises (@p19 @p1528))
% 0.40/0.86  (step @p1530 :rule cong :premises (@p1529 @p1509) :args (@t292))
% 0.40/0.86  (step @p1531 :rule refl :args (@t434))
% 0.40/0.86  (step @p1532 :rule refl :args (@t108))
% 0.40/0.86  (step @p1533 :rule cong :premises (@p1532 @p1531) :args ((= @t108 @t434)))
% 0.40/0.86  (step @p1534 :rule symm :premises (@p1533))
% 0.40/0.86  (step @p1535 :rule eq_resolve :premises (@p1532 @p1534))
% 0.40/0.86  (step @p1536 :rule cong :premises (@p1202 @p1535) :args (@t109))
% 0.40/0.86  (step @p1537 :rule cong :premises (@p1536) :args (@t881))
% 0.40/0.86  (step @p1538 :rule nary_cong :premises (@p1537 @p227) :args (@t882))
% 0.40/0.86  (step @p1539 :rule cong :premises (@p1538) :args ((forall @t110 @t882)))
% 0.40/0.86  (step @p1540 :rule bool-impl-elim :args (@t109 @t95))
% 0.40/0.86  (step @p1541 :rule cong :premises (@p1540) :args (@t111))
% 0.40/0.86  (step @p1542 :rule trans :premises (@p1541 @p1539))
% 0.40/0.86  (step @p1543 :rule refl :args (tptp.laminj))
% 0.40/0.86  (step @p1544 :rule cong :premises (@p1543 @p1542) :args (@t112))
% 0.40/0.86  (step @p1545 :rule eq_resolve :premises (@p18 @p1544))
% 0.40/0.86  (step @p1546 :rule cong :premises (@p1545 @p1530) :args (@t293))
% 0.40/0.86  (step @p1547 :rule refl :args (@t436))
% 0.40/0.86  (step @p1548 :rule refl :args (@t98))
% 0.40/0.86  (step @p1549 :rule cong :premises (@p1548 @p1547) :args ((= @t98 @t436)))
% 0.40/0.86  (step @p1550 :rule symm :premises (@p1549))
% 0.40/0.86  (step @p1551 :rule eq_resolve :premises (@p1548 @p1550))
% 0.40/0.86  (step @p1552 :rule refl :args (@t437))
% 0.40/0.86  (step @p1553 :rule refl :args (@t100))
% 0.40/0.86  (step @p1554 :rule cong :premises (@p1553 @p1552) :args ((= @t100 @t437)))
% 0.40/0.86  (step @p1555 :rule symm :premises (@p1554))
% 0.40/0.86  (step @p1556 :rule eq_resolve :premises (@p1553 @p1555))
% 0.40/0.86  (step @p1557 :rule cong :premises (@p1556 @p1551) :args (@t101))
% 0.40/0.86  (step @p1558 :rule cong :premises (@p1557) :args (@t883))
% 0.40/0.86  (step @p1559 :rule nary_cong :premises (@p1558 @p210) :args (@t884))
% 0.40/0.86  (step @p1560 :rule cong :premises (@p1559) :args ((forall @t102 @t884)))
% 0.40/0.86  (step @p1561 :rule bool-impl-elim :args (@t101 @t105))
% 0.40/0.86  (step @p1562 :rule cong :premises (@p1561) :args (@t106))
% 0.40/0.86  (step @p1563 :rule trans :premises (@p1562 @p1560))
% 0.40/0.86  (step @p1564 :rule refl :args (tptp.apinj2))
% 0.40/0.86  (step @p1565 :rule cong :premises (@p1564 @p1563) :args (@t107))
% 0.40/0.86  (step @p1566 :rule eq_resolve :premises (@p17 @p1565))
% 0.40/0.86  (step @p1567 :rule cong :premises (@p1566 @p1546) :args (@t294))
% 0.40/0.86  (step @p1568 :rule nary_cong :premises (@p1558 @p227) :args (@t885))
% 0.40/0.86  (step @p1569 :rule cong :premises (@p1568) :args ((forall @t102 @t885)))
% 0.40/0.86  (step @p1570 :rule bool-impl-elim :args (@t101 @t95))
% 0.40/0.86  (step @p1571 :rule cong :premises (@p1570) :args (@t103))
% 0.40/0.86  (step @p1572 :rule trans :premises (@p1571 @p1569))
% 0.40/0.86  (step @p1573 :rule refl :args (tptp.apinj1))
% 0.40/0.86  (step @p1574 :rule cong :premises (@p1573 @p1572) :args (@t104))
% 0.40/0.86  (step @p1575 :rule eq_resolve :premises (@p16 @p1574))
% 0.40/0.86  (step @p1576 :rule cong :premises (@p1575 @p1567) :args (@t295))
% 0.40/0.86  (step @p1577 :rule aci_norm :args ((= @t887 @t449)))
% 0.40/0.86  (step @p1578 :rule cong :premises (@p1577) :args (@t888))
% 0.40/0.86  (step @p1579 :rule quant-merge-prenex :args ((= (forall @t92 @t890) @t888)))
% 0.40/0.86  (step @p1580 :rule alpha_equiv :args (@t891 (@list @t441) @t829))
% 0.40/0.86  (step @p1581 :rule refl :args (@t446))
% 0.40/0.86  (step @p1582 :rule refl :args (@t448))
% 0.40/0.86  (step @p1583 :rule nary_cong :premises (@p1582 @p1581 @p1580) :args (@t892))
% 0.40/0.86  (step @p1584 :rule quant-miniscope-or :args ((= @t890 @t892)))
% 0.40/0.86  (step @p1585 :rule trans :premises (@p1584 @p1583))
% 0.40/0.86  (step @p1586 :rule symm :premises (@p1585))
% 0.40/0.86  (step @p1587 :rule cong :premises (@p1586) :args ((forall @t92 (or @t448 @t446 @t398))))
% 0.40/0.86  (step @p1588 :rule trans :premises (@p1587 @p1579))
% 0.40/0.86  (step @p1589 :rule trans :premises (@p1588 @p1578))
% 0.40/0.86  (step @p1590 :rule refl :args (@t398))
% 0.40/0.86  (step @p1591 :rule refl :args (@t447))
% 0.40/0.86  (step @p1592 :rule refl :args (@t90))
% 0.40/0.86  (step @p1593 :rule cong :premises (@p1592 @p1591) :args ((= @t90 @t447)))
% 0.40/0.86  (step @p1594 :rule symm :premises (@p1593))
% 0.40/0.86  (step @p1595 :rule eq_resolve :premises (@p1592 @p1594))
% 0.40/0.86  (step @p1596 :rule cong :premises (@p1595) :args (@t893))
% 0.40/0.86  (step @p1597 :rule nary_cong :premises (@p1596 @p1581 @p1590) :args (@t894))
% 0.40/0.86  (step @p1598 :rule cong :premises (@p1597) :args ((forall @t92 @t894)))
% 0.40/0.86  (step @p1599 :rule trans :premises (@p1598 @p1589))
% 0.40/0.86  (step @p1600 :rule aci_norm :args ((= (or @t893 (or @t446 @t398)) @t894)))
% 0.40/0.86  (step @p1601 :rule bool-impl-elim :args (@t445 @t398))
% 0.40/0.86  (step @p1602 :rule refl :args (@t893))
% 0.40/0.86  (step @p1603 :rule nary_cong :premises (@p1602 @p1601) :args ((or @t893 @t895)))
% 0.40/0.86  (step @p1604 :rule trans :premises (@p1603 @p1600))
% 0.40/0.86  (step @p1605 :rule bool-impl-elim :args (@t90 @t895))
% 0.40/0.86  (step @p1606 :rule trans :premises (@p1605 @p1604))
% 0.40/0.86  (step @p1607 :rule cong :premises (@p1606) :args ((forall @t92 (=> @t90 @t895))))
% 0.40/0.86  (step @p1608 :rule trans :premises (@p1607 @p1599))
% 0.40/0.86  (step @p1609 :rule refl :args ((_ @t83 @t78)))
% 0.40/0.86  (step @p1610 :rule cong :premises (@p1515) :args (@t444))
% 0.40/0.86  (step @p1611 :rule trans :premises (@p1610 @p1609))
% 0.40/0.86  (step @p1612 :rule ho_cong :premises (@p1193 @p1515))
% 0.40/0.86  (step @p1613 :rule cong :premises (@p1612 @p1611) :args ((= (_ @t83 @t432) @t444)))
% 0.40/0.86  (step @p1614 :rule symm :premises (@p1613))
% 0.40/0.86  (step @p1615 :rule refl :args (@t86))
% 0.40/0.86  (step @p1616 :rule eq_resolve :premises (@p1615 @p1614))
% 0.40/0.86  (step @p1617 :rule ho_cong :premises (@p1193 @p1519))
% 0.40/0.86  (step @p1618 :rule trans :premises (@p1617 @p1616))
% 0.40/0.86  (step @p1619 :rule nary_cong :premises (@p1280 @p1262 @p1618) :args (@t896))
% 0.40/0.86  (step @p1620 :rule cong :premises (@p1619) :args ((forall @t23 @t896)))
% 0.40/0.86  (step @p1621 :rule aci_norm :args ((= (or @t841 (or @t839 @t86)) @t896)))
% 0.40/0.86  (step @p1622 :rule bool-impl-elim :args (@t84 @t86))
% 0.40/0.86  (step @p1623 :rule refl :args (@t841))
% 0.40/0.86  (step @p1624 :rule nary_cong :premises (@p1623 @p1622) :args ((or @t841 @t87)))
% 0.40/0.86  (step @p1625 :rule trans :premises (@p1624 @p1621))
% 0.40/0.86  (step @p1626 :rule bool-impl-elim :args (@t80 @t87))
% 0.40/0.86  (step @p1627 :rule trans :premises (@p1626 @p1625))
% 0.40/0.86  (step @p1628 :rule cong :premises (@p1627) :args (@t88))
% 0.40/0.86  (step @p1629 :rule trans :premises (@p1628 @p1620))
% 0.40/0.86  (step @p1630 :rule cong :premises (@p1629 @p1285) :args (@t89))
% 0.40/0.86  (step @p1631 :rule refl :args (@t90))
% 0.40/0.86  (step @p1632 :rule cong :premises (@p1631 @p1630) :args (@t91))
% 0.40/0.86  (step @p1633 :rule cong :premises (@p1632) :args (@t93))
% 0.40/0.86  (step @p1634 :rule trans :premises (@p1633 @p1608))
% 0.40/0.86  (step @p1635 :rule refl :args (tptp.ulamvarind))
% 0.40/0.86  (step @p1636 :rule cong :premises (@p1635 @p1634) :args (@t94))
% 0.40/0.86  (step @p1637 :rule eq_resolve :premises (@p15 @p1636))
% 0.40/0.86  (step @p1638 :rule cong :premises (@p1637 @p1576) :args (@t296))
% 0.40/0.86  (step @p1639 :rule refl :args ((tptp.var @t78)))
% 0.40/0.86  (step @p1640 :rule cong :premises (@p1515) :args (@t452))
% 0.40/0.86  (step @p1641 :rule trans :premises (@p1640 @p1639))
% 0.40/0.86  (step @p1642 :rule ho_cong :premises (@p653 @p1515))
% 0.40/0.86  (step @p1643 :rule cong :premises (@p1642 @p1641) :args ((= (_ tptp.var @t432) @t452)))
% 0.40/0.86  (step @p1644 :rule symm :premises (@p1643))
% 0.40/0.86  (step @p1645 :rule refl :args (@t79))
% 0.40/0.86  (step @p1646 :rule eq_resolve :premises (@p1645 @p1644))
% 0.40/0.86  (step @p1647 :rule ho_cong :premises (@p653 @p1519))
% 0.40/0.86  (step @p1648 :rule trans :premises (@p1647 @p1646))
% 0.40/0.86  (step @p1649 :rule nary_cong :premises (@p1280 @p1648) :args (@t897))
% 0.40/0.86  (step @p1650 :rule cong :premises (@p1649) :args ((forall @t23 @t897)))
% 0.40/0.86  (step @p1651 :rule bool-impl-elim :args (@t80 @t79))
% 0.40/0.86  (step @p1652 :rule cong :premises (@p1651) :args (@t81))
% 0.40/0.86  (step @p1653 :rule trans :premises (@p1652 @p1650))
% 0.40/0.86  (step @p1654 :rule refl :args (tptp.ulamvarsh))
% 0.40/0.86  (step @p1655 :rule cong :premises (@p1654 @p1653) :args (@t82))
% 0.40/0.86  (step @p1656 :rule eq_resolve :premises (@p14 @p1655))
% 0.40/0.86  (step @p1657 :rule cong :premises (@p1656 @p1638) :args (@t297))
% 0.40/0.86  (step @p1658 :rule cong :premises (@p13 @p1657) :args (@t298))
% 0.40/0.86  (step @p1659 :rule refl :args ((tptp.push @t73 @t72)))
% 0.40/0.86  (step @p1660 :rule refl :args (@t457))
% 0.40/0.86  (step @p1661 :rule refl :args (@t458))
% 0.40/0.86  (step @p1662 :rule cong :premises (@p1661 @p1660) :args (@t459))
% 0.40/0.86  (step @p1663 :rule trans :premises (@p1662 @p1659))
% 0.40/0.86  (step @p1664 :rule refl :args (tptp.push))
% 0.40/0.86  (step @p1665 :rule ho_cong :premises (@p1664 @p1661))
% 0.40/0.86  (step @p1666 :rule ho_cong :premises (@p1665 @p1660))
% 0.40/0.86  (step @p1667 :rule cong :premises (@p1666 @p1663) :args ((= (_ (_ tptp.push @t458) @t457) @t459)))
% 0.40/0.86  (step @p1668 :rule symm :premises (@p1667))
% 0.40/0.86  (step @p1669 :rule refl :args (@t74))
% 0.40/0.86  (step @p1670 :rule eq_resolve :premises (@p1669 @p1668))
% 0.40/0.86  (step @p1671 :rule refl :args (@t72))
% 0.40/0.86  (step @p1672 :rule cong :premises (@p1671 @p1660) :args ((= @t72 @t457)))
% 0.40/0.86  (step @p1673 :rule symm :premises (@p1672))
% 0.40/0.86  (step @p1674 :rule eq_resolve :premises (@p1671 @p1673))
% 0.40/0.86  (step @p1675 :rule refl :args (@t73))
% 0.40/0.86  (step @p1676 :rule cong :premises (@p1675 @p1661) :args ((= @t73 @t458)))
% 0.40/0.86  (step @p1677 :rule symm :premises (@p1676))
% 0.40/0.86  (step @p1678 :rule eq_resolve :premises (@p1675 @p1677))
% 0.40/0.86  (step @p1679 :rule ho_cong :premises (@p1664 @p1678))
% 0.40/0.86  (step @p1680 :rule ho_cong :premises (@p1679 @p1674))
% 0.40/0.86  (step @p1681 :rule trans :premises (@p1680 @p1670))
% 0.40/0.86  (step @p1682 :rule cong :premises (@p239 @p1681) :args (@t898))
% 0.40/0.86  (step @p1683 :rule cong :premises (@p1682) :args ((forall @t46 @t898)))
% 0.40/0.86  (step @p1684 :rule eq-symm :args (@t74 @t1))
% 0.40/0.86  (step @p1685 :rule cong :premises (@p1684) :args (@t75))
% 0.40/0.86  (step @p1686 :rule trans :premises (@p1685 @p1683))
% 0.40/0.86  (step @p1687 :rule refl :args (tptp.axscons))
% 0.40/0.86  (step @p1688 :rule cong :premises (@p1687 @p1686) :args (@t76))
% 0.40/0.86  (step @p1689 :rule eq_resolve :premises (@p12 @p1688))
% 0.40/0.86  (step @p1690 :rule cong :premises (@p1689 @p1658) :args (@t299))
% 0.40/0.86  (step @p1691 :rule cong :premises (@p312 @p1690) :args (@t300))
% 0.40/0.86  (step @p1692 :rule refl :args (tptp.axidr))
% 0.40/0.86  (step @p1693 :rule cong :premises (@p1692 @p1111) :args (@t69))
% 0.40/0.86  (step @p1694 :rule eq_resolve :premises (@p10 @p1693))
% 0.40/0.86  (step @p1695 :rule cong :premises (@p1694 @p1691) :args (@t301))
% 0.40/0.86  (step @p1696 :rule refl :args ((tptp.push @t61 @t38)))
% 0.40/0.86  (step @p1697 :rule cong :premises (@p759 @p760) :args (@t463))
% 0.40/0.86  (step @p1698 :rule trans :premises (@p1697 @p1696))
% 0.40/0.86  (step @p1699 :rule ho_cong :premises (@p1664 @p759))
% 0.40/0.86  (step @p1700 :rule ho_cong :premises (@p1699 @p760))
% 0.40/0.86  (step @p1701 :rule cong :premises (@p1700 @p1698) :args ((= (_ (_ tptp.push @t352) @t353) @t463)))
% 0.40/0.86  (step @p1702 :rule symm :premises (@p1701))
% 0.40/0.86  (step @p1703 :rule refl :args (@t62))
% 0.40/0.86  (step @p1704 :rule eq_resolve :premises (@p1703 @p1702))
% 0.40/0.86  (step @p1705 :rule ho_cong :premises (@p1664 @p773))
% 0.40/0.86  (step @p1706 :rule ho_cong :premises (@p1705 @p777))
% 0.40/0.86  (step @p1707 :rule trans :premises (@p1706 @p1704))
% 0.40/0.86  (step @p1708 :rule refl :args ((tptp.comp @t16 @t37)))
% 0.40/0.86  (step @p1709 :rule cong :premises (@p1392 @p585) :args (@t464))
% 0.40/0.86  (step @p1710 :rule trans :premises (@p1709 @p1708))
% 0.40/0.86  (step @p1711 :rule ho_cong :premises (@p1142 @p1392))
% 0.40/0.86  (step @p1712 :rule ho_cong :premises (@p1711 @p585))
% 0.40/0.86  (step @p1713 :rule cong :premises (@p1712 @p1710) :args ((= (_ (_ tptp.comp @t408) @t37) @t464)))
% 0.40/0.86  (step @p1714 :rule symm :premises (@p1713))
% 0.40/0.86  (step @p1715 :rule refl :args (@t63))
% 0.40/0.86  (step @p1716 :rule eq_resolve :premises (@p1715 @p1714))
% 0.40/0.86  (step @p1717 :rule ho_cong :premises (@p1142 @p1411))
% 0.40/0.86  (step @p1718 :rule ho_cong :premises (@p1717 @p585))
% 0.40/0.86  (step @p1719 :rule trans :premises (@p1718 @p1716))
% 0.40/0.86  (step @p1720 :rule cong :premises (@p1719 @p1707) :args (@t64))
% 0.40/0.86  (step @p1721 :rule cong :premises (@p1720) :args (@t65))
% 0.40/0.86  (step @p1722 :rule refl :args (tptp.axmap))
% 0.40/0.86  (step @p1723 :rule cong :premises (@p1722 @p1721) :args (@t66))
% 0.40/0.86  (step @p1724 :rule eq_resolve :premises (@p9 @p1723))
% 0.40/0.86  (step @p1725 :rule cong :premises (@p1724 @p1695) :args (@t302))
% 0.40/0.86  (step @p1726 :rule refl :args (tptp.axassoc))
% 0.40/0.86  (step @p1727 :rule cong :premises (@p1726 @p1153) :args (@t60))
% 0.40/0.86  (step @p1728 :rule eq_resolve :premises (@p8 @p1727))
% 0.40/0.86  (step @p1729 :rule cong :premises (@p1728 @p1725) :args (@t303))
% 0.40/0.86  (step @p1730 :rule refl :args ((tptp.comp tptp.sh @t16)))
% 0.40/0.86  (step @p1731 :rule refl :args (tptp.sh))
% 0.40/0.86  (step @p1732 :rule cong :premises (@p1731 @p1392) :args (@t468))
% 0.40/0.86  (step @p1733 :rule trans :premises (@p1732 @p1730))
% 0.40/0.86  (step @p1734 :rule refl :args (@t49))
% 0.40/0.86  (step @p1735 :rule ho_cong :premises (@p1734 @p1392))
% 0.40/0.86  (step @p1736 :rule cong :premises (@p1735 @p1733) :args ((= (_ @t49 @t408) @t468)))
% 0.40/0.86  (step @p1737 :rule symm :premises (@p1736))
% 0.40/0.86  (step @p1738 :rule refl :args (@t50))
% 0.40/0.86  (step @p1739 :rule eq_resolve :premises (@p1738 @p1737))
% 0.40/0.86  (step @p1740 :rule ho_cong :premises (@p1734 @p1411))
% 0.40/0.86  (step @p1741 :rule trans :premises (@p1740 @p1739))
% 0.40/0.86  (step @p1742 :rule cong :premises (@p239 @p1741) :args (@t899))
% 0.40/0.86  (step @p1743 :rule cong :premises (@p1742) :args ((forall @t19 @t899)))
% 0.40/0.86  (step @p1744 :rule eq-symm :args (@t50 @t1))
% 0.40/0.86  (step @p1745 :rule cong :premises (@p1744) :args (@t51))
% 0.40/0.86  (step @p1746 :rule trans :premises (@p1745 @p1743))
% 0.40/0.86  (step @p1747 :rule refl :args (tptp.axshiftcons))
% 0.40/0.86  (step @p1748 :rule cong :premises (@p1747 @p1746) :args (@t52))
% 0.40/0.86  (step @p1749 :rule eq_resolve :premises (@p7 @p1748))
% 0.40/0.86  (step @p1750 :rule cong :premises (@p1749 @p1729) :args (@t304))
% 0.40/0.86  (step @p1751 :rule refl :args (tptp.axidl))
% 0.40/0.86  (step @p1752 :rule cong :premises (@p1751 @p1121) :args (@t48))
% 0.40/0.86  (step @p1753 :rule eq_resolve :premises (@p6 @p1752))
% 0.40/0.86  (step @p1754 :rule cong :premises (@p1753 @p1750) :args (@t305))
% 0.40/0.86  (step @p1755 :rule refl :args (tptp.axclos))
% 0.40/0.86  (step @p1756 :rule cong :premises (@p1755 @p1096) :args (@t44))
% 0.40/0.86  (step @p1757 :rule eq_resolve :premises (@p5 @p1756))
% 0.40/0.86  (step @p1758 :rule cong :premises (@p1757 @p1754) :args (@t306))
% 0.40/0.86  (step @p1759 :rule refl :args ((tptp.lam @t30)))
% 0.40/0.86  (step @p1760 :rule refl :args ((tptp.sub @t5 @t29)))
% 0.40/0.86  (step @p1761 :rule refl :args ((tptp.push tptp.one @t27)))
% 0.40/0.86  (step @p1762 :rule refl :args (@t473))
% 0.40/0.86  (step @p1763 :rule refl :args (tptp.one))
% 0.40/0.86  (step @p1764 :rule cong :premises (@p1763 @p1762) :args (@t474))
% 0.40/0.86  (step @p1765 :rule trans :premises (@p1764 @p1761))
% 0.40/0.86  (step @p1766 :rule cong :premises (@p170 @p1765) :args (@t475))
% 0.40/0.86  (step @p1767 :rule trans :premises (@p1766 @p1760))
% 0.40/0.86  (step @p1768 :rule cong :premises (@p1767) :args (@t476))
% 0.40/0.86  (step @p1769 :rule trans :premises (@p1768 @p1759))
% 0.40/0.86  (step @p1770 :rule ho_cong :premises (@p715 @p1767))
% 0.40/0.86  (step @p1771 :rule cong :premises (@p1770 @p1769) :args ((= (_ tptp.lam @t475) @t476)))
% 0.40/0.86  (step @p1772 :rule symm :premises (@p1771))
% 0.40/0.86  (step @p1773 :rule refl :args (@t31))
% 0.40/0.86  (step @p1774 :rule eq_resolve :premises (@p1773 @p1772))
% 0.40/0.86  (step @p1775 :rule ho_cong :premises (@p1070 @p1765))
% 0.40/0.86  (step @p1776 :rule cong :premises (@p1775 @p1767) :args ((= (_ @t6 @t474) @t475)))
% 0.40/0.86  (step @p1777 :rule symm :premises (@p1776))
% 0.40/0.86  (step @p1778 :rule refl :args (@t30))
% 0.40/0.86  (step @p1779 :rule eq_resolve :premises (@p1778 @p1777))
% 0.40/0.86  (step @p1780 :rule refl :args (@t28))
% 0.40/0.86  (step @p1781 :rule ho_cong :premises (@p1780 @p1762))
% 0.40/0.86  (step @p1782 :rule cong :premises (@p1781 @p1765) :args ((= (_ @t28 @t473) @t474)))
% 0.40/0.86  (step @p1783 :rule symm :premises (@p1782))
% 0.40/0.86  (step @p1784 :rule refl :args (@t29))
% 0.40/0.86  (step @p1785 :rule eq_resolve :premises (@p1784 @p1783))
% 0.40/0.86  (step @p1786 :rule refl :args (@t27))
% 0.40/0.86  (step @p1787 :rule cong :premises (@p1786 @p1762) :args ((= @t27 @t473)))
% 0.40/0.86  (step @p1788 :rule symm :premises (@p1787))
% 0.40/0.86  (step @p1789 :rule eq_resolve :premises (@p1786 @p1788))
% 0.40/0.86  (step @p1790 :rule ho_cong :premises (@p1780 @p1789))
% 0.40/0.86  (step @p1791 :rule trans :premises (@p1790 @p1785))
% 0.40/0.86  (step @p1792 :rule ho_cong :premises (@p1070 @p1791))
% 0.40/0.86  (step @p1793 :rule trans :premises (@p1792 @p1779))
% 0.40/0.86  (step @p1794 :rule ho_cong :premises (@p715 @p1793))
% 0.40/0.86  (step @p1795 :rule trans :premises (@p1794 @p1774))
% 0.40/0.86  (step @p1796 :rule refl :args ((tptp.sub @t32 @t1)))
% 0.40/0.86  (step @p1797 :rule cong :premises (@p1190 @p239) :args (@t477))
% 0.40/0.86  (step @p1798 :rule trans :premises (@p1797 @p1796))
% 0.40/0.86  (step @p1799 :rule ho_cong :premises (@p659 @p1190))
% 0.40/0.86  (step @p1800 :rule ho_cong :premises (@p1799 @p239))
% 0.40/0.86  (step @p1801 :rule cong :premises (@p1800 @p1798) :args ((= (_ (_ tptp.sub @t385) @t1) @t477)))
% 0.40/0.86  (step @p1802 :rule symm :premises (@p1801))
% 0.40/0.86  (step @p1803 :rule refl :args (@t33))
% 0.40/0.86  (step @p1804 :rule eq_resolve :premises (@p1803 @p1802))
% 0.40/0.86  (step @p1805 :rule ho_cong :premises (@p659 @p1202))
% 0.40/0.86  (step @p1806 :rule ho_cong :premises (@p1805 @p239))
% 0.40/0.86  (step @p1807 :rule trans :premises (@p1806 @p1804))
% 0.40/0.86  (step @p1808 :rule cong :premises (@p1807 @p1795) :args (@t34))
% 0.40/0.86  (step @p1809 :rule cong :premises (@p1808) :args (@t35))
% 0.40/0.86  (step @p1810 :rule refl :args (tptp.axabs))
% 0.40/0.86  (step @p1811 :rule cong :premises (@p1810 @p1809) :args (@t36))
% 0.40/0.86  (step @p1812 :rule eq_resolve :premises (@p4 @p1811))
% 0.40/0.86  (step @p1813 :rule cong :premises (@p1812 @p1758) :args (@t307))
% 0.40/0.86  (step @p1814 :rule refl :args (tptp.axvarid))
% 0.40/0.86  (step @p1815 :rule cong :premises (@p1814 @p1066) :args (@t25))
% 0.40/0.86  (step @p1816 :rule eq_resolve :premises (@p3 @p1815))
% 0.40/0.86  (step @p1817 :rule cong :premises (@p1816 @p1813) :args (@t308))
% 0.40/0.86  (step @p1818 :rule refl :args ((tptp.sub tptp.one @t16)))
% 0.40/0.86  (step @p1819 :rule cong :premises (@p1763 @p1392) :args (@t481))
% 0.40/0.86  (step @p1820 :rule trans :premises (@p1819 @p1818))
% 0.40/0.86  (step @p1821 :rule refl :args (@t17))
% 0.40/0.86  (step @p1822 :rule ho_cong :premises (@p1821 @p1392))
% 0.40/0.86  (step @p1823 :rule cong :premises (@p1822 @p1820) :args ((= (_ @t17 @t408) @t481)))
% 0.40/0.86  (step @p1824 :rule symm :premises (@p1823))
% 0.40/0.86  (step @p1825 :rule refl :args (@t18))
% 0.40/0.86  (step @p1826 :rule eq_resolve :premises (@p1825 @p1824))
% 0.40/0.86  (step @p1827 :rule ho_cong :premises (@p1821 @p1411))
% 0.40/0.86  (step @p1828 :rule trans :premises (@p1827 @p1826))
% 0.40/0.86  (step @p1829 :rule cong :premises (@p170 @p1828) :args (@t900))
% 0.40/0.86  (step @p1830 :rule cong :premises (@p1829) :args ((forall @t19 @t900)))
% 0.40/0.86  (step @p1831 :rule eq-symm :args (@t18 @t5))
% 0.40/0.86  (step @p1832 :rule cong :premises (@p1831) :args (@t20))
% 0.40/0.86  (step @p1833 :rule trans :premises (@p1832 @p1830))
% 0.40/0.86  (step @p1834 :rule refl :args (tptp.axvarcons))
% 0.40/0.86  (step @p1835 :rule cong :premises (@p1834 @p1833) :args (@t21))
% 0.40/0.86  (step @p1836 :rule eq_resolve :premises (@p2 @p1835))
% 0.40/0.86  (step @p1837 :rule cong :premises (@p1836 @p1817) :args (@t309))
% 0.40/0.86  (step @p1838 :rule refl :args ((tptp.ap @t7 @t4)))
% 0.40/0.86  (step @p1839 :rule cong :premises (@p1079 @p1330) :args (@t484))
% 0.40/0.86  (step @p1840 :rule trans :premises (@p1839 @p1838))
% 0.40/0.86  (step @p1841 :rule ho_cong :premises (@p520 @p1079))
% 0.40/0.86  (step @p1842 :rule ho_cong :premises (@p1841 @p1330))
% 0.40/0.86  (step @p1843 :rule cong :premises (@p1842 @p1840) :args ((= (_ (_ tptp.ap @t374) @t412) @t484)))
% 0.40/0.86  (step @p1844 :rule symm :premises (@p1843))
% 0.40/0.86  (step @p1845 :rule refl :args (@t8))
% 0.40/0.86  (step @p1846 :rule eq_resolve :premises (@p1845 @p1844))
% 0.40/0.86  (step @p1847 :rule ho_cong :premises (@p520 @p1091))
% 0.40/0.86  (step @p1848 :rule ho_cong :premises (@p1847 @p1341))
% 0.40/0.86  (step @p1849 :rule trans :premises (@p1848 @p1846))
% 0.40/0.86  (step @p1850 :rule refl :args ((tptp.sub @t10 @t1)))
% 0.40/0.86  (step @p1851 :rule cong :premises (@p467 @p239) :args (@t485))
% 0.40/0.86  (step @p1852 :rule trans :premises (@p1851 @p1850))
% 0.40/0.86  (step @p1853 :rule ho_cong :premises (@p659 @p467))
% 0.40/0.86  (step @p1854 :rule ho_cong :premises (@p1853 @p239))
% 0.40/0.86  (step @p1855 :rule cong :premises (@p1854 @p1852) :args ((= (_ (_ tptp.sub @t390) @t1) @t485)))
% 0.40/0.86  (step @p1856 :rule symm :premises (@p1855))
% 0.40/0.86  (step @p1857 :rule refl :args (@t11))
% 0.40/0.86  (step @p1858 :rule eq_resolve :premises (@p1857 @p1856))
% 0.40/0.86  (step @p1859 :rule ho_cong :premises (@p659 @p480))
% 0.40/0.86  (step @p1860 :rule ho_cong :premises (@p1859 @p239))
% 0.40/0.86  (step @p1861 :rule trans :premises (@p1860 @p1858))
% 0.40/0.86  (step @p1862 :rule cong :premises (@p1861 @p1849) :args (@t12))
% 0.40/0.86  (step @p1863 :rule cong :premises (@p1862) :args (@t14))
% 0.40/0.86  (step @p1864 :rule refl :args (tptp.axapp))
% 0.40/0.86  (step @p1865 :rule cong :premises (@p1864 @p1863) :args (@t15))
% 0.40/0.86  (step @p1866 :rule eq_resolve :premises (@p1 @p1865))
% 0.40/0.86  (step @p1867 :rule cong :premises (@p1866 @p1837) :args (@t310))
% 0.40/0.86  (step @p1868 :rule refl :args (tptp.hoasinduction_lem2_gthm))
% 0.40/0.86  (step @p1869 :rule cong :premises (@p1868 @p1867) :args (@t311))
% 0.40/0.86  (step @p1870 :rule eq_resolve :premises (@p89 @p1869))
% 0.40/0.86  (step @p1871 :rule trans :premises (@p1870 @p439))
% 0.40/0.86  (step @p1872 :rule cong :premises (@p1871) :args (@t319))
% 0.40/0.86  (step @p1873 :rule trans :premises (@p1872 @p308))
% 0.40/0.86  (step @p1874 :rule trans :premises (@p1873 @p146))
% 0.40/0.86  (step @p1875 :rule eq_resolve :premises (@p109 @p1874))
% 0.40/0.86  (step @p1876 :rule not_implies_elim2 :premises (@p1875))
% 0.40/0.86  (step @p1877 :rule not_implies_elim2 :premises (@p1876))
% 0.40/0.86  (step @p1878 :rule not_implies_elim2 :premises (@p1877))
% 0.40/0.86  (step @p1879 :rule not_implies_elim2 :premises (@p1878))
% 0.40/0.86  (step @p1880 :rule not_implies_elim2 :premises (@p1879))
% 0.40/0.86  (step @p1881 :rule not_implies_elim2 :premises (@p1880))
% 0.40/0.86  (step @p1882 :rule not_implies_elim2 :premises (@p1881))
% 0.40/0.86  (step @p1883 :rule not_implies_elim2 :premises (@p1882))
% 0.40/0.86  (step @p1884 :rule not_implies_elim2 :premises (@p1883))
% 0.40/0.86  (step @p1885 :rule not_implies_elim2 :premises (@p1884))
% 0.40/0.86  (step @p1886 :rule not_implies_elim2 :premises (@p1885))
% 0.40/0.86  (step @p1887 :rule not_implies_elim2 :premises (@p1886))
% 0.40/0.86  (step @p1888 :rule not_implies_elim2 :premises (@p1887))
% 0.40/0.86  (step @p1889 :rule not_implies_elim2 :premises (@p1888))
% 0.40/0.86  (step @p1890 :rule not_implies_elim2 :premises (@p1889))
% 0.40/0.86  (step @p1891 :rule not_implies_elim2 :premises (@p1890))
% 0.40/0.86  (step @p1892 :rule not_implies_elim2 :premises (@p1891))
% 0.40/0.86  (step @p1893 :rule not_implies_elim2 :premises (@p1892))
% 0.40/0.86  (step @p1894 :rule not_implies_elim2 :premises (@p1893))
% 0.40/0.86  (step @p1895 :rule not_implies_elim2 :premises (@p1894))
% 0.40/0.86  (step @p1896 :rule not_implies_elim2 :premises (@p1895))
% 0.40/0.86  (step @p1897 :rule not_implies_elim2 :premises (@p1896))
% 0.40/0.86  (step @p1898 :rule not_implies_elim2 :premises (@p1897))
% 0.40/0.86  (step @p1899 :rule not_implies_elim2 :premises (@p1898))
% 0.40/0.86  (step @p1900 :rule not_implies_elim2 :premises (@p1899))
% 0.40/0.86  (step @p1901 :rule not_implies_elim2 :premises (@p1900))
% 0.40/0.86  (step @p1902 :rule not_implies_elim2 :premises (@p1901))
% 0.40/0.86  (step @p1903 :rule not_implies_elim2 :premises (@p1902))
% 0.40/0.86  (step @p1904 :rule not_implies_elim2 :premises (@p1903))
% 0.40/0.86  (step @p1905 :rule not_implies_elim2 :premises (@p1904))
% 0.40/0.86  (step @p1906 :rule not_implies_elim2 :premises (@p1905))
% 0.40/0.86  (step @p1907 :rule not_implies_elim2 :premises (@p1906))
% 0.40/0.86  (step @p1908 :rule not_implies_elim2 :premises (@p1907))
% 0.40/0.86  (step @p1909 :rule skolemize :premises (@p1908))
% 0.40/0.86  (step @p1910 :rule bool-double-not-elim :args (@t902))
% 0.40/0.86  (step @p1911 :rule refl :args (@t914))
% 0.40/0.86  (step @p1912 :rule nary_cong :premises (@p1911 @p1910) :args ((or @t914 (not @t911))))
% 0.40/0.86  (step @p1913 :rule cnf_or_neg :args (@t914 2))
% 0.40/0.86  (step @p1914 :rule eq_resolve :premises (@p1913 @p1912))
% 0.40/0.86  (step @p1915 :rule reordering :premises (@p1914) :args ((or @t902 @t914)))
% 0.40/0.86  (step @p1916 :rule chain_m_resolution :premises (@p1915 @p1909) :args (@t902 @t915 @t916))
% 0.40/0.86  (step @p1917 :rule instantiate :premises (@p1916) :args ((@list @t904 @t903)))
% 0.40/0.86  (step @p1918 :rule bool-double-not-elim :args (@t907))
% 0.40/0.86  (step @p1919 :rule nary_cong :premises (@p1911 @p1918) :args ((or @t914 (not @t908))))
% 0.40/0.86  (step @p1920 :rule cnf_or_neg :args (@t914 4))
% 0.40/0.86  (step @p1921 :rule eq_resolve :premises (@p1920 @p1919))
% 0.40/0.86  (step @p1922 :rule reordering :premises (@p1921) :args ((or @t907 @t914)))
% 0.40/0.86  (step @p1923 :rule chain_m_resolution :premises (@p1922 @p1909) :args (@t907 @t915 @t916))
% 0.40/0.86  (step @p1924 :rule bool-double-not-elim :args (@t909))
% 0.40/0.86  (step @p1925 :rule nary_cong :premises (@p1911 @p1924) :args ((or @t914 (not @t910))))
% 0.40/0.86  (step @p1926 :rule cnf_or_neg :args (@t914 3))
% 0.40/0.86  (step @p1927 :rule eq_resolve :premises (@p1926 @p1925))
% 0.40/0.86  (step @p1928 :rule reordering :premises (@p1927) :args ((or @t909 @t914)))
% 0.40/0.86  (step @p1929 :rule chain_m_resolution :premises (@p1928 @p1909) :args (@t909 @t915 @t916))
% 0.40/0.86  (step @p1930 :rule cnf_or_pos :args (@t918))
% 0.40/0.86  (step @p1931 :rule reordering :premises (@p1930) :args ((or @t910 @t908 @t917 (not @t918))))
% 0.40/0.86  (step @p1932 :rule chain_m_resolution :premises (@p1931 @p1929 @p1923 @p1917) :args (@t917 (@list false false false) (@list @t909 @t907 @t918)))
% 0.40/0.86  (step @p1933 :rule true_intro :premises (@p1932))
% 0.40/0.86  (step @p1934 :rule not_implies_elim1 :premises (@p1881))
% 0.40/0.86  (step @p1935 :rule instantiate :premises (@p1934) :args (@t919))
% 0.40/0.86  (step @p1936 :rule symm :premises (@p1935))
% 0.40/0.86  (step @p1937 :rule not_implies_elim1 :premises (@p1876))
% 0.40/0.86  (step @p1938 :rule instantiate :premises (@p1937) :args (@t919))
% 0.40/0.86  (step @p1939 :rule symm :premises (@p1938))
% 0.40/0.86  (step @p1940 :rule cong :premises (@p1939 @p1936) :args ((tptp.push (tptp.sub tptp.one @t332) (tptp.comp tptp.sh @t332))))
% 0.40/0.86  (step @p1941 :rule not_implies_elim1 :premises (@p1883))
% 0.40/0.86  (step @p1942 :rule instantiate :premises (@p1941) :args ((@list tptp.one tptp.sh @t332)))
% 0.40/0.86  (step @p1943 :rule trans :premises (@p1942 @p1940))
% 0.40/0.86  (step @p1944 :rule refl :args (@t903))
% 0.40/0.86  (step @p1945 :rule not_implies_elim1 :premises (@p1877))
% 0.40/0.86  (step @p1946 :rule instantiate :premises (@p1945) :args ((@list @t904)))
% 0.40/0.86  (step @p1947 :rule cong :premises (@p1946 @p1944) :args (@t905))
% 0.40/0.86  (step @p1948 :rule refl :args (@t332))
% 0.40/0.86  (step @p1949 :rule cong :premises (@p1948 @p1947 @p1943) :args ((_ @t901 @t332 @t905 (tptp.comp @t332 @t332))))
% 0.40/0.86  (step @p1950 :rule symm :premises (@p1943))
% 0.40/0.86  (step @p1951 :rule refl :args (@t905))
% 0.40/0.86  (step @p1952 :rule cong :premises (@p1948 @p1951 @p1950) :args (@t906))
% 0.40/0.86  (step @p1953 :rule cnf_or_neg :args (@t914 5))
% 0.40/0.86  (step @p1954 :rule chain_m_resolution :premises (@p1953 @p1909) :args ((not @t906) @t915 @t916))
% 0.40/0.86  (step @p1955 :rule false_intro :premises (@p1954))
% 0.40/0.86  (step @p1956 :rule symm :premises (@p1955))
% 0.40/0.86  (step @p1957 :rule trans :premises (@p1956 @p1952 @p1949 @p1933))
% 0.40/0.86  (step @p1958 false :rule eq_resolve :premises (@p1957 @p116))
% 0.40/0.86  )
% 0.40/0.86  % SZS output end Proof
% 0.40/0.86  % cvc5 exiting
%------------------------------------------------------------------------------