cvc5---1.3.4.THM-Prf.s

%------------------------------------------------------------------------------
% File     : cvc5---1.3.4
% Problem  : ALG263^1 : 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 0.42s 0.87s
% Output   : Proof 0.42s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : ALG263^1 : 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
% 0.16/0.34  % Computer : n029.cluster.edu
% 0.16/0.34  % Model    : x86_64 x86_64
% 0.16/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.34  % Memory   : 8042.1875MB
% 0.16/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.16/0.34  % CPULimit : 300
% 0.16/0.34  % WCLimit  : 300
% 0.16/0.34  % DateTime : Wed Jun  3 01:56:32 EDT 2026
% 0.16/0.34  % CPUTime  : 
% 0.40/0.56  %----Proving TH0
% 0.42/0.87  --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 90s...
% 0.42/0.87  % SZS status Theorem
% 0.42/0.87  % SZS output start Proof
% 0.42/0.87  (
% 0.42/0.87  (declare-sort tptp.term 0)
% 0.42/0.87  (declare-sort tptp.subst 0)
% 0.42/0.87  (declare-const tptp.push (-> tptp.term tptp.subst tptp.subst))
% 0.42/0.87  (declare-const tptp.sub (-> tptp.term tptp.subst tptp.term))
% 0.42/0.87  (declare-const tptp.ap (-> tptp.term tptp.term tptp.term))
% 0.42/0.87  (declare-const tptp.one tptp.term)
% 0.42/0.87  (declare-const tptp.sh tptp.subst)
% 0.42/0.87  (declare-const tptp.lam (-> tptp.term tptp.term))
% 0.42/0.87  (declare-const tptp.var (-> tptp.term Bool))
% 0.42/0.87  (declare-const tptp.id tptp.subst)
% 0.42/0.87  (declare-const tptp.hoasinduction_no_psi_cond_lthm Bool)
% 0.42/0.87  (declare-const tptp.hoasinduction_no_psi_cond Bool)
% 0.42/0.87  (declare-const tptp.hoasinduction_lthm_3 Bool)
% 0.42/0.87  (declare-const tptp.hoasinduction_lthm Bool)
% 0.42/0.87  (declare-const tptp.hoasinduction_gthm Bool)
% 0.42/0.87  (declare-const tptp.hoasinduction Bool)
% 0.42/0.87  (declare-const tptp.hoasinduction_lem3b_lthm Bool)
% 0.42/0.87  (declare-const tptp.hoasinduction_lem3b_gthm Bool)
% 0.42/0.87  (declare-const tptp.hoasinduction_lem3b Bool)
% 0.42/0.87  (declare-const tptp.hoasinduction_lem3a_lthm Bool)
% 0.42/0.87  (declare-const tptp.hoasinduction_lem3a_gthm Bool)
% 0.42/0.87  (declare-const tptp.hoasinduction_lem3a Bool)
% 0.42/0.87  (declare-const tptp.hoasinduction_lem3_lthm Bool)
% 0.42/0.87  (declare-const tptp.hoasinduction_lem3_gthm Bool)
% 0.42/0.87  (declare-const tptp.hoasinduction_lem3 Bool)
% 0.42/0.87  (declare-const tptp.hoasinduction_lem3aaa Bool)
% 0.42/0.87  (declare-const tptp.hoasinduction_lem3aa_lthm Bool)
% 0.42/0.87  (declare-const tptp.hoasinduction_lem3aa Bool)
% 0.42/0.87  (declare-const tptp.hoasinduction_lem2_lthm Bool)
% 0.42/0.87  (declare-const tptp.hoasinduction_lem2_gthm Bool)
% 0.42/0.87  (declare-const tptp.hoasinduction_lem2 Bool)
% 0.42/0.87  (declare-const tptp.hoasinduction_lem1_lthm Bool)
% 0.42/0.87  (declare-const tptp.hoasinduction_lem1_gthm Bool)
% 0.42/0.87  (declare-const tptp.hoasinduction_lem1 Bool)
% 0.42/0.87  (declare-const tptp.hoasinduction_lem3v2a_lthm Bool)
% 0.42/0.87  (declare-const tptp.hoasinduction_lem3v2a Bool)
% 0.42/0.87  (declare-const tptp.hoasinduction_lem3v2_lthm Bool)
% 0.42/0.87  (declare-const tptp.hoasinduction_lem3v2_gthm Bool)
% 0.42/0.87  (declare-const tptp.hoasinduction_lem3v2 Bool)
% 0.42/0.87  (declare-const tptp.hoasinduction_lem3v2_f_lthm Bool)
% 0.42/0.87  (declare-const tptp.hoasinduction_lem3v2_f Bool)
% 0.42/0.87  (declare-const tptp.hoasinduction_lem2v2_gthm Bool)
% 0.42/0.87  (declare-const tptp.hoasinduction_lem2v2 Bool)
% 0.42/0.87  (declare-const tptp.hoasinduction_lem1v2_gthm Bool)
% 0.42/0.87  (declare-const tptp.hoasinduction_lem1v2 Bool)
% 0.42/0.87  (declare-const tptp.hoasinduction_lem0_lthm Bool)
% 0.42/0.87  (declare-const tptp.hoasinduction_lem0 Bool)
% 0.42/0.87  (declare-const tptp.hoasapnotvar_lthm Bool)
% 0.42/0.87  (declare-const tptp.hoasapnotvar_gthm Bool)
% 0.42/0.87  (declare-const tptp.hoasapnotvar Bool)
% 0.42/0.87  (declare-const tptp.hoaslamnotvar_lthm Bool)
% 0.42/0.87  (declare-const tptp.hoaslamnotvar_gthm Bool)
% 0.42/0.87  (declare-const tptp.hoaslamnotvar Bool)
% 0.42/0.87  (declare-const tptp.hoaslamnotap_lthm Bool)
% 0.42/0.87  (declare-const tptp.hoaslamnotap_gthm Bool)
% 0.42/0.87  (declare-const tptp.hoaslamnotap Bool)
% 0.42/0.87  (declare-const tptp.hoaslaminj_lthm Bool)
% 0.42/0.87  (declare-const tptp.hoaslaminj_gthm Bool)
% 0.42/0.87  (declare-const tptp.hoaslaminj Bool)
% 0.42/0.87  (declare-const tptp.hoasapinj2_lthm Bool)
% 0.42/0.87  (declare-const tptp.hoasapinj2_gthm Bool)
% 0.42/0.87  (declare-const tptp.hoasapinj2 Bool)
% 0.42/0.87  (declare-const tptp.pushprop_lem0_lthm Bool)
% 0.42/0.87  (declare-const tptp.axassoc Bool)
% 0.42/0.87  (declare-const tptp.pushprop_lem0_gthm Bool)
% 0.42/0.87  (declare-const tptp.axvarcons Bool)
% 0.42/0.87  (declare-const tptp.pushprop_lem0 Bool)
% 0.42/0.87  (declare-const tptp.apinj1 Bool)
% 0.42/0.87  (declare-const tptp.induction Bool)
% 0.42/0.87  (declare-const tptp.apnotvar Bool)
% 0.42/0.87  (declare-const tptp.laminj Bool)
% 0.42/0.87  (declare-const tptp.axvarshift Bool)
% 0.42/0.87  (declare-const tptp.ulamvarind Bool)
% 0.42/0.87  (declare-const tptp.pushprop_lem2v2_lthm Bool)
% 0.42/0.87  (declare-const tptp.ulamvarsh Bool)
% 0.42/0.87  (declare-const tptp.ulamvar1 Bool)
% 0.42/0.87  (declare-const tptp.axabs Bool)
% 0.42/0.87  (declare-const tptp.pushprop_lem1 Bool)
% 0.42/0.87  (declare-const tptp.shinj Bool)
% 0.42/0.87  (declare-const tptp.comp (-> tptp.subst tptp.subst tptp.subst))
% 0.42/0.87  (declare-const tptp.apinj2 Bool)
% 0.42/0.87  (declare-const tptp.axvarid Bool)
% 0.42/0.87  (declare-const tptp.axidl Bool)
% 0.42/0.87  (declare-const tptp.axclos Bool)
% 0.42/0.87  (declare-const tptp.termmset Bool)
% 0.42/0.87  (declare-const tptp.axshiftcons Bool)
% 0.42/0.87  (declare-const tptp.lamnotap Bool)
% 0.42/0.87  (declare-const tptp.lamnotvar Bool)
% 0.42/0.87  (declare-const tptp.axapp Bool)
% 0.42/0.87  (declare-const tptp.axscons Bool)
% 0.42/0.87  (declare-const tptp.axmap Bool)
% 0.42/0.87  (declare-const tptp.axidr Bool)
% 0.42/0.87  (declare-const tptp.induction2lem Bool)
% 0.42/0.87  (declare-const tptp.pushprop_lem1_gthm Bool)
% 0.42/0.87  (declare-const tptp.hoasapinj1_lthm Bool)
% 0.42/0.87  (declare-const tptp.pushprop_lem1_lthm Bool)
% 0.42/0.87  (declare-const tptp.pushprop_lem1v2 Bool)
% 0.42/0.87  (declare-const tptp.pushprop_lem1v2_gthm Bool)
% 0.42/0.87  (declare-const tptp.induction2 Bool)
% 0.42/0.87  (declare-const tptp.pushprop_lem1v2_lthm Bool)
% 0.42/0.87  (declare-const tptp.pushprop_lem2v2 Bool)
% 0.42/0.87  (declare-const tptp.pushprop_lem2v2_gthm Bool)
% 0.42/0.87  (declare-const tptp.pushprop_lem3v2 Bool)
% 0.42/0.87  (declare-const tptp.pushprop_lem3v2_lthm Bool)
% 0.42/0.87  (declare-const tptp.pushprop Bool)
% 0.42/0.87  (declare-const tptp.pushprop_gthm Bool)
% 0.42/0.87  (declare-const tptp.hoasapinj1 Bool)
% 0.42/0.87  (declare-const tptp.pushprop_lthm_orig Bool)
% 0.42/0.87  (declare-const tptp.pushprop_lthm Bool)
% 0.42/0.87  (declare-const tptp.induction2lem_gthm Bool)
% 0.42/0.87  (declare-const tptp.induction2lem_lthm Bool)
% 0.42/0.87  (declare-const tptp.induction2_gthm Bool)
% 0.42/0.87  (declare-const tptp.induction2_lthm Bool)
% 0.42/0.87  (declare-const tptp.substmonoid Bool)
% 0.42/0.87  (declare-const tptp.substmonoid_gthm Bool)
% 0.42/0.87  (declare-const tptp.termmset_gthm Bool)
% 0.42/0.87  (declare-const tptp.substmonoid_lthm Bool)
% 0.42/0.87  (declare-const tptp.termmset_lthm Bool)
% 0.42/0.87  (declare-const tptp.hoasapinj1_gthm Bool)
% 0.42/0.87  (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))))))))))))
% 0.42/0.87  (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))))))
% 0.42/0.87  (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)))))
% 0.42/0.87  (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))))))
% 0.42/0.87  (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))))))))
% 0.42/0.87  (define @t1 () (@var "M" tptp.subst))
% 0.42/0.87  (define @t2 () (@var "B" tptp.term))
% 0.42/0.87  (define @t3 () (_ tptp.sub @t2))
% 0.42/0.87  (define @t4 () (_ @t3 @t1))
% 0.42/0.87  (define @t5 () (@var "A" tptp.term))
% 0.42/0.87  (define @t6 () (_ tptp.sub @t5))
% 0.42/0.87  (define @t7 () (_ @t6 @t1))
% 0.42/0.87  (define @t8 () (_ (_ tptp.ap @t7) @t4))
% 0.42/0.87  (define @t9 () (_ tptp.ap @t5))
% 0.42/0.87  (define @t10 () (_ @t9 @t2))
% 0.42/0.87  (define @t11 () (_ (_ tptp.sub @t10) @t1))
% 0.42/0.87  (define @t12 () (= @t11 @t8))
% 0.42/0.87  (define @t13 () (@list @t5 @t2 @t1))
% 0.42/0.87  (define @t14 () (forall @t13 @t12))
% 0.42/0.87  (define @t15 () (= tptp.axapp @t14))
% 0.42/0.87  (define @t16 () (_ (_ tptp.push @t5) @t1))
% 0.42/0.87  (define @t17 () (_ tptp.sub tptp.one))
% 0.42/0.87  (define @t18 () (_ @t17 @t16))
% 0.42/0.87  (define @t19 () (@list @t5 @t1))
% 0.42/0.87  (define @t20 () (forall @t19 (= @t18 @t5)))
% 0.42/0.87  (define @t21 () (= tptp.axvarcons @t20))
% 0.42/0.87  (define @t22 () (_ @t6 tptp.id))
% 0.42/0.87  (define @t23 () (@list @t5))
% 0.42/0.87  (define @t24 () (forall @t23 (= @t22 @t5)))
% 0.42/0.87  (define @t25 () (= tptp.axvarid @t24))
% 0.42/0.87  (define @t26 () (_ tptp.comp @t1))
% 0.42/0.87  (define @t27 () (_ @t26 tptp.sh))
% 0.42/0.87  (define @t28 () (_ tptp.push tptp.one))
% 0.42/0.87  (define @t29 () (_ @t28 @t27))
% 0.42/0.87  (define @t30 () (_ @t6 @t29))
% 0.42/0.87  (define @t31 () (_ tptp.lam @t30))
% 0.42/0.87  (define @t32 () (_ tptp.lam @t5))
% 0.42/0.87  (define @t33 () (_ (_ tptp.sub @t32) @t1))
% 0.42/0.87  (define @t34 () (= @t33 @t31))
% 0.42/0.87  (define @t35 () (forall @t19 @t34))
% 0.42/0.87  (define @t36 () (= tptp.axabs @t35))
% 0.42/0.87  (define @t37 () (@var "N" tptp.subst))
% 0.42/0.87  (define @t38 () (_ @t26 @t37))
% 0.42/0.87  (define @t39 () (_ @t6 @t38))
% 0.42/0.87  (define @t40 () (_ (_ tptp.sub @t7) @t37))
% 0.42/0.87  (define @t41 () (= @t40 @t39))
% 0.42/0.87  (define @t42 () (@list @t5 @t1 @t37))
% 0.42/0.87  (define @t43 () (forall @t42 @t41))
% 0.42/0.87  (define @t44 () (= tptp.axclos @t43))
% 0.42/0.87  (define @t45 () (_ (_ tptp.comp tptp.id) @t1))
% 0.42/0.87  (define @t46 () (@list @t1))
% 0.42/0.87  (define @t47 () (forall @t46 (= @t45 @t1)))
% 0.42/0.87  (define @t48 () (= tptp.axidl @t47))
% 0.42/0.87  (define @t49 () (_ tptp.comp tptp.sh))
% 0.42/0.87  (define @t50 () (_ @t49 @t16))
% 0.42/0.87  (define @t51 () (forall @t19 (= @t50 @t1)))
% 0.42/0.87  (define @t52 () (= tptp.axshiftcons @t51))
% 0.42/0.87  (define @t53 () (@var "K" tptp.subst))
% 0.42/0.87  (define @t54 () (_ (_ tptp.comp @t37) @t53))
% 0.42/0.87  (define @t55 () (_ @t26 @t54))
% 0.42/0.87  (define @t56 () (_ (_ tptp.comp @t38) @t53))
% 0.42/0.87  (define @t57 () (= @t56 @t55))
% 0.42/0.87  (define @t58 () (@list @t1 @t37 @t53))
% 0.42/0.87  (define @t59 () (forall @t58 @t57))
% 0.42/0.87  (define @t60 () (= tptp.axassoc @t59))
% 0.42/0.87  (define @t61 () (_ @t6 @t37))
% 0.42/0.87  (define @t62 () (_ (_ tptp.push @t61) @t38))
% 0.42/0.87  (define @t63 () (_ (_ tptp.comp @t16) @t37))
% 0.42/0.87  (define @t64 () (= @t63 @t62))
% 0.42/0.87  (define @t65 () (forall @t42 @t64))
% 0.42/0.87  (define @t66 () (= tptp.axmap @t65))
% 0.42/0.87  (define @t67 () (_ @t26 tptp.id))
% 0.42/0.87  (define @t68 () (forall @t46 (= @t67 @t1)))
% 0.42/0.87  (define @t69 () (= tptp.axidr @t68))
% 0.42/0.87  (define @t70 () (_ @t28 tptp.sh))
% 0.42/0.87  (define @t71 () (= tptp.axvarshift (= @t70 tptp.id)))
% 0.42/0.87  (define @t72 () (_ @t49 @t1))
% 0.42/0.87  (define @t73 () (_ @t17 @t1))
% 0.42/0.87  (define @t74 () (_ (_ tptp.push @t73) @t72))
% 0.42/0.87  (define @t75 () (forall @t46 (= @t74 @t1)))
% 0.42/0.87  (define @t76 () (= tptp.axscons @t75))
% 0.42/0.87  (define @t77 () (_ tptp.var tptp.one))
% 0.42/0.87  (define @t78 () (_ @t6 tptp.sh))
% 0.42/0.87  (define @t79 () (_ tptp.var @t78))
% 0.42/0.87  (define @t80 () (_ tptp.var @t5))
% 0.42/0.87  (define @t81 () (forall @t23 (=> @t80 @t79)))
% 0.42/0.87  (define @t82 () (= tptp.ulamvarsh @t81))
% 0.42/0.87  (define @t83 () (@var "P" (-> tptp.term Bool)))
% 0.42/0.87  (define @t84 () (_ @t83 @t5))
% 0.42/0.87  (define @t85 () (forall @t23 (=> @t80 @t84)))
% 0.42/0.87  (define @t86 () (_ @t83 @t78))
% 0.42/0.87  (define @t87 () (=> @t84 @t86))
% 0.42/0.87  (define @t88 () (forall @t23 (=> @t80 @t87)))
% 0.42/0.87  (define @t89 () (=> @t88 @t85))
% 0.42/0.87  (define @t90 () (_ @t83 tptp.one))
% 0.42/0.87  (define @t91 () (=> @t90 @t89))
% 0.42/0.87  (define @t92 () (@list @t83))
% 0.42/0.87  (define @t93 () (forall @t92 @t91))
% 0.42/0.87  (define @t94 () (= tptp.ulamvarind @t93))
% 0.42/0.87  (define @t95 () (= @t5 @t2))
% 0.42/0.87  (define @t96 () (@var "D" tptp.term))
% 0.42/0.87  (define @t97 () (_ tptp.ap @t2))
% 0.42/0.87  (define @t98 () (_ @t97 @t96))
% 0.42/0.87  (define @t99 () (@var "C" tptp.term))
% 0.42/0.87  (define @t100 () (_ @t9 @t99))
% 0.42/0.87  (define @t101 () (= @t100 @t98))
% 0.42/0.87  (define @t102 () (@list @t5 @t2 @t99 @t96))
% 0.42/0.87  (define @t103 () (forall @t102 (=> @t101 @t95)))
% 0.42/0.87  (define @t104 () (= tptp.apinj1 @t103))
% 0.42/0.87  (define @t105 () (= @t99 @t96))
% 0.42/0.87  (define @t106 () (forall @t102 (=> @t101 @t105)))
% 0.42/0.87  (define @t107 () (= tptp.apinj2 @t106))
% 0.42/0.87  (define @t108 () (_ tptp.lam @t2))
% 0.42/0.87  (define @t109 () (= @t32 @t108))
% 0.42/0.87  (define @t110 () (@list @t5 @t2))
% 0.42/0.87  (define @t111 () (forall @t110 (=> @t109 @t95)))
% 0.42/0.87  (define @t112 () (= tptp.laminj @t111))
% 0.42/0.87  (define @t113 () (_ @t3 tptp.sh))
% 0.42/0.87  (define @t114 () (= @t78 @t113))
% 0.42/0.87  (define @t115 () (forall @t110 (=> @t114 @t95)))
% 0.42/0.87  (define @t116 () (= tptp.shinj @t115))
% 0.42/0.87  (define @t117 () (_ @t97 @t99))
% 0.42/0.87  (define @t118 () (= @t32 @t117))
% 0.42/0.87  (define @t119 () (not @t118))
% 0.42/0.87  (define @t120 () (@list @t5 @t2 @t99))
% 0.42/0.87  (define @t121 () (forall @t120 @t119))
% 0.42/0.87  (define @t122 () (= tptp.lamnotap @t121))
% 0.42/0.87  (define @t123 () (_ tptp.var @t10))
% 0.42/0.87  (define @t124 () (not @t123))
% 0.42/0.87  (define @t125 () (forall @t110 @t124))
% 0.42/0.87  (define @t126 () (= tptp.apnotvar @t125))
% 0.42/0.87  (define @t127 () (_ tptp.var @t32))
% 0.42/0.87  (define @t128 () (not @t127))
% 0.42/0.87  (define @t129 () (forall @t23 @t128))
% 0.42/0.87  (define @t130 () (= tptp.lamnotvar @t129))
% 0.42/0.87  (define @t131 () (forall @t23 @t84))
% 0.42/0.87  (define @t132 () (_ @t83 @t32))
% 0.42/0.87  (define @t133 () (forall @t23 (=> @t84 @t132)))
% 0.42/0.87  (define @t134 () (=> @t133 @t131))
% 0.42/0.87  (define @t135 () (_ @t83 @t10))
% 0.42/0.87  (define @t136 () (_ @t83 @t2))
% 0.42/0.87  (define @t137 () (=> @t136 @t135))
% 0.42/0.87  (define @t138 () (forall @t110 (=> @t84 @t137)))
% 0.42/0.87  (define @t139 () (=> @t138 @t134))
% 0.42/0.87  (define @t140 () (=> @t85 @t139))
% 0.42/0.87  (define @t141 () (forall @t92 @t140))
% 0.42/0.87  (define @t142 () (= tptp.induction @t141))
% 0.42/0.87  (define @t143 () (@var "Q" (-> tptp.term Bool)))
% 0.42/0.87  (define @t144 () (_ (_ (_ (_ tptp.pushprop_p_and_p_prime @t5) @t1) @t83) @t143))
% 0.42/0.87  (define @t145 () (@list @t143))
% 0.42/0.87  (define @t146 () (@list @t83 @t5 @t1))
% 0.42/0.87  (define @t147 () (_ tptp.push @t2))
% 0.42/0.87  (define @t148 () (@var "K" (-> tptp.term Bool)))
% 0.42/0.87  (define @t149 () (@list @t83 @t143 @t5 @t1))
% 0.42/0.87  (define @t150 () (_ tptp.sub @t99))
% 0.42/0.87  (define @t151 () (@list @t99))
% 0.42/0.87  (define @t152 () (_ @t83 @t4))
% 0.42/0.87  (define @t153 () (_ tptp.var @t2))
% 0.42/0.87  (define @t154 () (@list @t2))
% 0.42/0.87  (define @t155 () (forall @t154 (=> @t153 @t152)))
% 0.42/0.87  (define @t156 () (_ @t3 @t16))
% 0.42/0.87  (define @t157 () (_ @t83 @t156))
% 0.42/0.87  (define @t158 () (forall @t154 (=> @t153 @t157)))
% 0.42/0.87  (define @t159 () (_ @t143 @t2))
% 0.42/0.87  (define @t160 () (=> @t84 @t158))
% 0.42/0.87  (define @t161 () (=> @t155 @t160))
% 0.42/0.87  (define @t162 () (forall @t146 @t161))
% 0.42/0.87  (define @t163 () (= tptp.pushprop @t162))
% 0.42/0.87  (define @t164 () (=> tptp.ulamvar1 (=> tptp.axvarcons (=> tptp.axclos (=> tptp.axshiftcons (=> tptp.ulamvarind tptp.pushprop))))))
% 0.42/0.87  (define @t165 () (_ @t83 @t7))
% 0.42/0.87  (define @t166 () (=> @t155 @t165))
% 0.42/0.87  (define @t167 () (forall @t19 @t166))
% 0.42/0.87  (define @t168 () (_ @t147 tptp.id))
% 0.42/0.87  (define @t169 () (_ @t6 @t168))
% 0.42/0.87  (define @t170 () (_ @t83 @t169))
% 0.42/0.87  (define @t171 () (forall @t154 (=> @t136 @t170)))
% 0.42/0.87  (define @t172 () (=> @t171 @t132))
% 0.42/0.87  (define @t173 () (forall @t23 @t172))
% 0.42/0.87  (define @t174 () (=> @t173 @t167))
% 0.42/0.87  (define @t175 () (=> @t138 @t174))
% 0.42/0.87  (define @t176 () (forall @t92 @t175))
% 0.42/0.87  (define @t177 () (= tptp.induction2lem @t176))
% 0.42/0.87  (define @t178 () (=> tptp.induction (=> tptp.pushprop tptp.induction2lem)))
% 0.42/0.87  (define @t179 () (=> @t173 @t131))
% 0.42/0.87  (define @t180 () (=> @t138 @t179))
% 0.42/0.87  (define @t181 () (=> @t85 @t180))
% 0.42/0.87  (define @t182 () (forall @t92 @t181))
% 0.42/0.87  (define @t183 () (= tptp.induction2 @t182))
% 0.42/0.87  (define @t184 () (=> tptp.induction2lem tptp.induction2))
% 0.42/0.87  (define @t185 () (and @t59 @t47 @t68))
% 0.42/0.87  (define @t186 () (= tptp.substmonoid @t185))
% 0.42/0.87  (define @t187 () (and @t43 @t24))
% 0.42/0.87  (define @t188 () (= tptp.termmset @t187))
% 0.42/0.87  (define @t189 () (_ tptp.hoasap tptp.id))
% 0.42/0.87  (define @t190 () (_ (_ @t189 @t5) tptp.id))
% 0.42/0.87  (define @t191 () (= (_ @t190 @t99) (_ (_ (_ @t189 @t2) tptp.id) @t96)))
% 0.42/0.87  (define @t192 () (=> @t191 @t95))
% 0.42/0.87  (define @t193 () (forall @t102 @t192))
% 0.42/0.87  (define @t194 () (= tptp.hoasapinj1 @t193))
% 0.42/0.87  (define @t195 () (=> @t191 @t105))
% 0.42/0.87  (define @t196 () (forall @t102 @t195))
% 0.42/0.87  (define @t197 () (= tptp.hoasapinj2 @t196))
% 0.42/0.87  (define @t198 () (@var "G" (-> tptp.subst tptp.term tptp.term)))
% 0.42/0.87  (define @t199 () (_ (_ @t198 @t1) @t5))
% 0.42/0.87  (define @t200 () (@var "F" (-> tptp.subst tptp.term tptp.term)))
% 0.42/0.87  (define @t201 () (_ @t200 @t1))
% 0.42/0.87  (define @t202 () (_ @t201 @t5))
% 0.42/0.87  (define @t203 () (= @t202 @t199))
% 0.42/0.87  (define @t204 () (@list @t1 @t5))
% 0.42/0.87  (define @t205 () (forall @t204 @t203))
% 0.42/0.87  (define @t206 () (lambda @t204 @t199))
% 0.42/0.87  (define @t207 () (_ tptp.hoaslam tptp.id))
% 0.42/0.87  (define @t208 () (lambda @t204 @t202))
% 0.42/0.87  (define @t209 () (_ @t207 @t208))
% 0.42/0.87  (define @t210 () (= @t209 (_ @t207 @t206)))
% 0.42/0.87  (define @t211 () (=> @t210 @t205))
% 0.42/0.87  (define @t212 () (_ (_ @t198 @t38) @t61))
% 0.42/0.87  (define @t213 () (_ (_ tptp.sub @t199) @t37))
% 0.42/0.87  (define @t214 () (= @t213 @t212))
% 0.42/0.87  (define @t215 () (@list @t1 @t5 @t37))
% 0.42/0.87  (define @t216 () (forall @t215 @t214))
% 0.42/0.87  (define @t217 () (=> @t216 @t211))
% 0.42/0.87  (define @t218 () (@list @t198))
% 0.42/0.87  (define @t219 () (forall @t218 @t217))
% 0.42/0.87  (define @t220 () (_ (_ @t200 @t38) @t61))
% 0.42/0.87  (define @t221 () (_ (_ tptp.sub @t202) @t37))
% 0.42/0.87  (define @t222 () (= @t221 @t220))
% 0.42/0.87  (define @t223 () (forall @t215 @t222))
% 0.42/0.87  (define @t224 () (=> @t223 @t219))
% 0.42/0.87  (define @t225 () (@list @t200))
% 0.42/0.87  (define @t226 () (forall @t225 @t224))
% 0.42/0.87  (define @t227 () (= tptp.hoaslaminj @t226))
% 0.42/0.87  (define @t228 () (_ @t190 @t2))
% 0.42/0.87  (define @t229 () (lambda (@list @t1 @t99) (_ @t201 @t99)))
% 0.42/0.87  (define @t230 () (= (_ @t207 @t229) @t228))
% 0.42/0.87  (define @t231 () (not @t230))
% 0.42/0.87  (define @t232 () (forall @t110 @t231))
% 0.42/0.87  (define @t233 () (=> @t223 @t232))
% 0.42/0.87  (define @t234 () (forall @t225 @t233))
% 0.42/0.87  (define @t235 () (= tptp.hoaslamnotap @t234))
% 0.42/0.87  (define @t236 () (_ tptp.hoasvar tptp.id))
% 0.42/0.87  (define @t237 () (not (_ (_ @t236 @t209) tptp.id)))
% 0.42/0.87  (define @t238 () (=> @t223 @t237))
% 0.42/0.87  (define @t239 () (forall @t225 @t238))
% 0.42/0.87  (define @t240 () (= tptp.hoaslamnotvar @t239))
% 0.42/0.87  (define @t241 () (not (_ (_ @t236 @t228) tptp.id)))
% 0.42/0.87  (define @t242 () (forall @t110 @t241))
% 0.42/0.87  (define @t243 () (= tptp.hoasapnotvar @t242))
% 0.42/0.87  (define @t244 () (@var "P" (-> tptp.subst tptp.term tptp.subst Bool)))
% 0.42/0.87  (define @t245 () (_ (_ tptp.hoasinduction_p_and_p_prime @t244) @t143))
% 0.42/0.87  (define @t246 () (@list @t244))
% 0.42/0.87  (define @t247 () (_ @t143 @t5))
% 0.42/0.87  (define @t248 () (_ @t244 tptp.id))
% 0.42/0.87  (define @t249 () (_ (_ @t248 @t5) tptp.id))
% 0.42/0.87  (define @t250 () (=> (_ (_ @t236 @t5) tptp.id) @t249))
% 0.42/0.87  (define @t251 () (forall @t23 @t250))
% 0.42/0.87  (define @t252 () (_ (_ tptp.comp @t53) @t37))
% 0.42/0.87  (define @t253 () (_ (_ @t244 @t1) @t5))
% 0.42/0.87  (define @t254 () (_ @t253 @t252))
% 0.42/0.87  (define @t255 () (_ @t6 @t53))
% 0.42/0.87  (define @t256 () (_ @t26 @t53))
% 0.42/0.87  (define @t257 () (_ (_ (_ @t244 @t256) @t255) @t37))
% 0.42/0.87  (define @t258 () (@list @t1 @t5 @t37 @t53))
% 0.42/0.87  (define @t259 () (forall @t258 (=> @t257 @t254)))
% 0.42/0.87  (define @t260 () (forall @t258 (=> @t254 @t257)))
% 0.42/0.87  (define @t261 () (@list @t244 @t143))
% 0.42/0.87  (define @t262 () (_ (_ @t248 @t2) tptp.id))
% 0.42/0.87  (define @t263 () (forall @t110 (=> @t249 (=> @t262 (_ (_ @t248 @t228) tptp.id)))))
% 0.42/0.87  (define @t264 () (=> (forall @t23 (=> @t249 (_ (_ @t248 (_ (_ @t200 tptp.id) @t5)) tptp.id))) (_ (_ @t248 @t209) tptp.id)))
% 0.42/0.87  (define @t265 () (forall @t225 (=> @t223 @t264)))
% 0.42/0.87  (define @t266 () (=> @t265 (=> @t245 (forall @t23 (=> (forall @t154 (=> @t159 (_ @t143 @t169))) (_ @t143 @t32))))))
% 0.42/0.87  (define @t267 () (forall @t23 (=> @t80 @t249)))
% 0.42/0.87  (define @t268 () (=> @t251 @t267))
% 0.42/0.87  (define @t269 () (=> @t259 @t268))
% 0.42/0.87  (define @t270 () (=> @t260 @t269))
% 0.42/0.87  (define @t271 () (forall @t246 @t270))
% 0.42/0.87  (define @t272 () (= tptp.hoasinduction_lem1 @t271))
% 0.42/0.87  (define @t273 () (=> tptp.hoasapnotvar tptp.hoasinduction_lem1))
% 0.42/0.87  (define @t274 () (=> tptp.hoaslamnotvar @t273))
% 0.42/0.87  (define @t275 () (=> tptp.hoaslamnotap @t274))
% 0.42/0.87  (define @t276 () (=> tptp.hoaslaminj @t275))
% 0.42/0.87  (define @t277 () (=> tptp.hoasapinj2 @t276))
% 0.42/0.87  (define @t278 () (=> tptp.hoasapinj1 @t277))
% 0.42/0.87  (define @t279 () (=> tptp.termmset @t278))
% 0.42/0.87  (define @t280 () (=> tptp.substmonoid @t279))
% 0.42/0.87  (define @t281 () (=> tptp.induction2 @t280))
% 0.42/0.87  (define @t282 () (=> tptp.induction2lem @t281))
% 0.42/0.87  (define @t283 () (=> tptp.pushprop @t282))
% 0.42/0.87  (define @t284 () (=> tptp.induction @t283))
% 0.42/0.87  (define @t285 () (=> tptp.lamnotvar @t284))
% 0.42/0.87  (define @t286 () (=> tptp.apnotvar @t285))
% 0.42/0.87  (define @t287 () (=> tptp.lamnotap @t286))
% 0.42/0.87  (define @t288 () (=> tptp.shinj @t287))
% 0.42/0.87  (define @t289 () (=> tptp.laminj @t288))
% 0.42/0.87  (define @t290 () (=> tptp.apinj2 @t289))
% 0.42/0.87  (define @t291 () (=> tptp.apinj1 @t290))
% 0.42/0.87  (define @t292 () (=> tptp.ulamvarind @t291))
% 0.42/0.87  (define @t293 () (=> tptp.ulamvarsh @t292))
% 0.42/0.87  (define @t294 () (=> tptp.ulamvar1 @t293))
% 0.42/0.87  (define @t295 () (=> tptp.axscons @t294))
% 0.42/0.87  (define @t296 () (=> tptp.axvarshift @t295))
% 0.42/0.87  (define @t297 () (=> tptp.axidr @t296))
% 0.42/0.87  (define @t298 () (=> tptp.axmap @t297))
% 0.42/0.87  (define @t299 () (=> tptp.axassoc @t298))
% 0.42/0.87  (define @t300 () (=> tptp.axshiftcons @t299))
% 0.42/0.87  (define @t301 () (=> tptp.axidl @t300))
% 0.42/0.87  (define @t302 () (=> tptp.axclos @t301))
% 0.42/0.87  (define @t303 () (=> tptp.axabs @t302))
% 0.42/0.87  (define @t304 () (=> tptp.axvarid @t303))
% 0.42/0.87  (define @t305 () (=> tptp.axvarcons @t304))
% 0.42/0.87  (define @t306 () (=> tptp.axapp @t305))
% 0.42/0.87  (define @t307 () (= tptp.hoasinduction_lem1_gthm @t306))
% 0.42/0.87  (define @t308 () (=> 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_lem2)))))))))))))))))))))))))))))))))))
% 0.42/0.87  (define @t309 () (forall @t154 (=> @t262 (_ (_ @t248 @t169) tptp.id))))
% 0.42/0.87  (define @t310 () (forall @t23 (=> @t309 (_ (_ @t248 (_ tptp.lam (_ @t6 @t70))) tptp.id))))
% 0.42/0.87  (define @t311 () (=> @t265 (forall @t23 (=> @t309 (_ (_ @t248 @t32) tptp.id)))))
% 0.42/0.87  (define @t312 () (_ @t200 tptp.sh))
% 0.42/0.87  (define @t313 () (_ @t312 tptp.one))
% 0.42/0.87  (define @t314 () (=> @t263 (=> @t265 (forall @t23 @t249))))
% 0.42/0.87  (define @t315 () (=> tptp.hoasinduction_lem1 (=> tptp.hoasinduction_lem2 (=> tptp.hoasinduction_lem3 tptp.hoasinduction))))
% 0.42/0.87  (define @t316 () (not tptp.hoasinduction_lem1_gthm))
% 0.42/0.87  (define @t317 () (@var "X" tptp.term))
% 0.42/0.87  (define @t318 () (_ @t143 @t317))
% 0.42/0.87  (define @t319 () (@list @t317))
% 0.42/0.87  (define @t320 () (lambda (@list @t5 @t1 @t83 @t143) (forall @t319 (= @t318 (_ @t83 (_ (_ tptp.sub @t317) @t16))))))
% 0.42/0.87  (define @t321 () (_ tptp.ap @t61))
% 0.42/0.87  (define @t322 () (_ @t321 @t2))
% 0.42/0.87  (define @t323 () (lambda (@list @t1 @t5 @t37 @t2) @t322))
% 0.42/0.87  (define @t324 () (_ tptp.lam @t313))
% 0.42/0.87  (define @t325 () (lambda (@list @t1 @t200) @t324))
% 0.42/0.87  (define @t326 () (_ tptp.var @t61))
% 0.42/0.87  (define @t327 () (lambda @t215 @t326))
% 0.42/0.87  (define @t328 () (lambda @t261 (forall @t319 (= @t318 (_ (_ @t248 @t317) tptp.id)))))
% 0.42/0.87  (define @t329 () (tptp.push tptp.one tptp.sh))
% 0.42/0.87  (define @t330 () (@var "BOUND_VARIABLE_9993" tptp.term))
% 0.42/0.87  (define @t331 () (not (tptp.var @t330)))
% 0.42/0.87  (define @t332 () (tptp.sub @t5 @t329))
% 0.42/0.87  (define @t333 () (not (tptp.var @t332)))
% 0.42/0.87  (define @t334 () (not (forall @t23 (or @t333 (_ @t244 @t329 @t5 @t329)))))
% 0.42/0.87  (define @t335 () (tptp.comp @t53 @t37))
% 0.42/0.87  (define @t336 () (_ @t244 @t1 @t5 @t335))
% 0.42/0.87  (define @t337 () (tptp.sub @t5 @t53))
% 0.42/0.87  (define @t338 () (tptp.comp @t1 @t53))
% 0.42/0.87  (define @t339 () (_ @t244 @t338 @t337 @t37))
% 0.42/0.87  (define @t340 () (forall @t258 (or (not @t339) @t336)))
% 0.42/0.87  (define @t341 () (not @t340))
% 0.42/0.87  (define @t342 () (forall @t258 (or (not @t336) @t339)))
% 0.42/0.87  (define @t343 () (not @t342))
% 0.42/0.87  (define @t344 () (@list @t244 @t330))
% 0.42/0.87  (define @t345 () (forall @t344 (or @t343 @t341 @t334 @t331 (_ @t244 @t329 @t330 @t329))))
% 0.42/0.87  (define @t346 () (_ @t200 tptp.sh tptp.one))
% 0.42/0.87  (define @t347 () (tptp.lam @t346))
% 0.42/0.87  (define @t348 () (tptp.sub @t5 @t37))
% 0.42/0.87  (define @t349 () (tptp.comp @t1 @t37))
% 0.42/0.87  (define @t350 () (_ @t200 @t349 @t348))
% 0.42/0.87  (define @t351 () (_ @t200 @t1 @t5))
% 0.42/0.87  (define @t352 () (tptp.sub @t351 @t37))
% 0.42/0.87  (define @t353 () (forall @t215 (= @t352 @t350)))
% 0.42/0.87  (define @t354 () (not @t353))
% 0.42/0.87  (define @t355 () (@var "BOUND_VARIABLE_9634" tptp.term))
% 0.42/0.87  (define @t356 () (@var "BOUND_VARIABLE_9632" tptp.term))
% 0.42/0.87  (define @t357 () (@list @t200 @t356 @t355))
% 0.42/0.87  (define @t358 () (@var "BOUND_VARIABLE_9580" tptp.term))
% 0.42/0.87  (define @t359 () (@var "BOUND_VARIABLE_9578" tptp.subst))
% 0.42/0.87  (define @t360 () (@var "BOUND_VARIABLE_9576" (-> tptp.subst tptp.term tptp.term)))
% 0.42/0.87  (define @t361 () (= (_ @t200 @t359 @t358) (_ @t360 @t359 @t358)))
% 0.42/0.87  (define @t362 () (not (= @t347 (tptp.lam (_ @t360 tptp.sh tptp.one)))))
% 0.42/0.87  (define @t363 () (not (forall @t215 (= (tptp.sub (_ @t360 @t1 @t5) @t37) (_ @t360 @t349 @t348)))))
% 0.42/0.87  (define @t364 () (or @t354 @t363 @t362 @t361))
% 0.42/0.87  (define @t365 () (@list @t200 @t360 @t359 @t358))
% 0.42/0.87  (define @t366 () (forall @t365 @t364))
% 0.42/0.87  (define @t367 () (not (= (tptp.ap (tptp.sub @t2 @t329) @t96) (tptp.ap @t332 @t99))))
% 0.42/0.87  (define @t368 () (forall @t23 (= @t5 @t332)))
% 0.42/0.87  (define @t369 () (tptp.sub @t5 @t349))
% 0.42/0.87  (define @t370 () (tptp.sub @t5 @t1))
% 0.42/0.87  (define @t371 () (tptp.sub @t370 @t37))
% 0.42/0.87  (define @t372 () (forall @t42 (= @t371 @t369)))
% 0.42/0.87  (define @t373 () (forall @t46 (= @t1 (tptp.comp @t1 @t329))))
% 0.42/0.87  (define @t374 () (forall @t46 (= @t1 (tptp.comp @t329 @t1))))
% 0.42/0.87  (define @t375 () (tptp.comp @t37 @t53))
% 0.42/0.87  (define @t376 () (tptp.comp @t1 @t375))
% 0.42/0.87  (define @t377 () (tptp.comp @t349 @t53))
% 0.42/0.87  (define @t378 () (forall @t58 (= @t377 @t376)))
% 0.42/0.87  (define @t379 () (@var "BOUND_VARIABLE_9396" tptp.term))
% 0.42/0.87  (define @t380 () (_ @t83 @t379))
% 0.42/0.87  (define @t381 () (tptp.lam @t5))
% 0.42/0.87  (define @t382 () (_ @t83 @t381))
% 0.42/0.87  (define @t383 () (_ @t83 @t2))
% 0.42/0.87  (define @t384 () (not @t383))
% 0.42/0.87  (define @t385 () (not (forall @t23 (or (not (forall @t154 (or @t384 (_ @t83 (tptp.sub @t5 (tptp.push @t2 @t329)))))) @t382))))
% 0.42/0.87  (define @t386 () (tptp.ap @t5 @t2))
% 0.42/0.87  (define @t387 () (_ @t83 @t386))
% 0.42/0.87  (define @t388 () (_ @t83 @t5))
% 0.42/0.87  (define @t389 () (not @t388))
% 0.42/0.87  (define @t390 () (forall @t110 (or @t389 @t384 @t387)))
% 0.42/0.87  (define @t391 () (not @t390))
% 0.42/0.87  (define @t392 () (tptp.var @t5))
% 0.42/0.87  (define @t393 () (not @t392))
% 0.42/0.87  (define @t394 () (forall @t23 (or @t393 @t388)))
% 0.42/0.87  (define @t395 () (not @t394))
% 0.42/0.87  (define @t396 () (@list @t83 @t379))
% 0.42/0.87  (define @t397 () (@var "BOUND_VARIABLE_9371" tptp.subst))
% 0.42/0.87  (define @t398 () (@var "BOUND_VARIABLE_9369" tptp.term))
% 0.42/0.87  (define @t399 () (_ @t83 (tptp.sub @t398 @t397)))
% 0.42/0.87  (define @t400 () (tptp.var @t2))
% 0.42/0.87  (define @t401 () (not @t400))
% 0.42/0.87  (define @t402 () (not (forall @t154 (or @t401 (_ @t83 (tptp.sub @t2 @t397))))))
% 0.42/0.87  (define @t403 () (@list @t83 @t398 @t397))
% 0.42/0.87  (define @t404 () (tptp.push @t5 @t1))
% 0.42/0.87  (define @t405 () (@var "BOUND_VARIABLE_9324" tptp.term))
% 0.42/0.87  (define @t406 () (_ @t83 (tptp.sub @t405 @t404)))
% 0.42/0.87  (define @t407 () (not (tptp.var @t405)))
% 0.42/0.87  (define @t408 () (tptp.sub @t2 @t1))
% 0.42/0.87  (define @t409 () (_ @t83 @t408))
% 0.42/0.87  (define @t410 () (forall @t154 (or @t401 @t409)))
% 0.42/0.87  (define @t411 () (not @t410))
% 0.42/0.87  (define @t412 () (or @t411 @t389 @t407 @t406))
% 0.42/0.87  (define @t413 () (@list @t83 @t5 @t1 @t405))
% 0.42/0.87  (define @t414 () (forall @t413 @t412))
% 0.42/0.87  (define @t415 () (@var "BOUND_VARIABLE_9170" tptp.term))
% 0.42/0.87  (define @t416 () (_ @t83 @t415))
% 0.42/0.87  (define @t417 () (forall @t23 (or @t389 @t382)))
% 0.42/0.87  (define @t418 () (not @t417))
% 0.42/0.87  (define @t419 () (or @t395 @t391 @t418 @t416))
% 0.42/0.87  (define @t420 () (forall (@list @t83 @t415) @t419))
% 0.42/0.87  (define @t421 () (tptp.var @t381))
% 0.42/0.87  (define @t422 () (forall @t23 (not @t421)))
% 0.42/0.87  (define @t423 () (tptp.var @t386))
% 0.42/0.87  (define @t424 () (forall @t110 (not @t423)))
% 0.42/0.87  (define @t425 () (tptp.ap @t2 @t99))
% 0.42/0.87  (define @t426 () (forall @t120 (not (= @t381 @t425))))
% 0.42/0.87  (define @t427 () (tptp.sub @t2 tptp.sh))
% 0.42/0.87  (define @t428 () (tptp.sub @t5 tptp.sh))
% 0.42/0.87  (define @t429 () (forall @t110 (or (not (= @t428 @t427)) @t95)))
% 0.42/0.87  (define @t430 () (tptp.lam @t2))
% 0.42/0.87  (define @t431 () (forall @t110 (or (not (= @t381 @t430)) @t95)))
% 0.42/0.87  (define @t432 () (tptp.ap @t2 @t96))
% 0.42/0.87  (define @t433 () (tptp.ap @t5 @t99))
% 0.42/0.87  (define @t434 () (not (= @t433 @t432)))
% 0.42/0.87  (define @t435 () (forall @t102 (or @t434 @t105)))
% 0.42/0.87  (define @t436 () (forall @t102 (or @t434 @t95)))
% 0.42/0.87  (define @t437 () (@var "BOUND_VARIABLE_9074" tptp.term))
% 0.42/0.87  (define @t438 () (_ @t83 @t437))
% 0.42/0.87  (define @t439 () (not (tptp.var @t437)))
% 0.42/0.87  (define @t440 () (_ @t83 @t428))
% 0.42/0.87  (define @t441 () (forall @t23 (or @t393 @t389 @t440)))
% 0.42/0.87  (define @t442 () (not @t441))
% 0.42/0.87  (define @t443 () (_ @t83 tptp.one))
% 0.42/0.87  (define @t444 () (not @t443))
% 0.42/0.87  (define @t445 () (or @t444 @t442 @t439 @t438))
% 0.42/0.87  (define @t446 () (@list @t83 @t437))
% 0.42/0.87  (define @t447 () (forall @t446 @t445))
% 0.42/0.87  (define @t448 () (tptp.var @t428))
% 0.42/0.87  (define @t449 () (forall @t23 (or @t393 @t448)))
% 0.42/0.87  (define @t450 () (=> @t449 (=> @t447 (=> @t436 (=> @t435 (=> @t431 (=> @t429 (=> @t426 (=> @t424 (=> @t422 (=> @t420 (=> @t414 (=> (forall @t403 (or @t391 @t385 @t402 @t399)) (=> (forall @t396 (or @t395 @t391 @t385 @t380)) (=> (and @t378 @t374 @t373) (=> (and @t372 @t368) (=> (forall @t102 (or @t367 @t95)) (=> (forall @t102 (or @t367 @t105)) (=> @t366 (=> (forall @t357 (or @t354 (not (= @t347 (tptp.ap (tptp.sub @t356 @t329) @t355))))) (=> (forall @t225 (or @t354 (not (tptp.var (tptp.sub @t347 @t329))))) (=> (forall @t110 (not (tptp.var (tptp.sub (tptp.ap @t332 @t2) @t329)))) @t345))))))))))))))))))))))
% 0.42/0.87  (define @t451 () (tptp.var tptp.one))
% 0.42/0.87  (define @t452 () (=> @t77 @t450))
% 0.42/0.87  (define @t453 () (tptp.comp tptp.sh @t1))
% 0.42/0.87  (define @t454 () (tptp.sub tptp.one @t1))
% 0.42/0.87  (define @t455 () (tptp.push @t454 @t453))
% 0.42/0.87  (define @t456 () (forall @t46 (= @t1 @t455)))
% 0.42/0.87  (define @t457 () (=> @t456 @t452))
% 0.42/0.87  (define @t458 () (=> @t373 @t457))
% 0.42/0.87  (define @t459 () (tptp.push @t348 @t349))
% 0.42/0.87  (define @t460 () (tptp.comp @t404 @t37))
% 0.42/0.87  (define @t461 () (forall @t42 (= @t460 @t459)))
% 0.42/0.87  (define @t462 () (=> @t461 @t458))
% 0.42/0.87  (define @t463 () (=> @t378 @t462))
% 0.42/0.87  (define @t464 () (tptp.comp tptp.sh @t404))
% 0.42/0.87  (define @t465 () (forall @t19 (= @t1 @t464)))
% 0.42/0.87  (define @t466 () (=> @t465 @t463))
% 0.42/0.87  (define @t467 () (=> @t374 @t466))
% 0.42/0.87  (define @t468 () (=> @t372 @t467))
% 0.42/0.87  (define @t469 () (tptp.comp @t1 tptp.sh))
% 0.42/0.87  (define @t470 () (tptp.push tptp.one @t469))
% 0.42/0.87  (define @t471 () (tptp.sub @t5 @t470))
% 0.42/0.87  (define @t472 () (tptp.lam @t471))
% 0.42/0.87  (define @t473 () (tptp.sub @t381 @t1))
% 0.42/0.87  (define @t474 () (forall @t19 (= @t473 @t472)))
% 0.42/0.87  (define @t475 () (=> @t474 @t468))
% 0.42/0.87  (define @t476 () (=> @t368 @t475))
% 0.42/0.87  (define @t477 () (tptp.sub tptp.one @t404))
% 0.42/0.87  (define @t478 () (forall @t19 (= @t5 @t477)))
% 0.42/0.87  (define @t479 () (=> @t478 @t476))
% 0.42/0.87  (define @t480 () (tptp.ap @t370 @t408))
% 0.42/0.87  (define @t481 () (tptp.sub @t386 @t1))
% 0.42/0.87  (define @t482 () (forall @t13 (= @t481 @t480)))
% 0.42/0.87  (define @t483 () (=> @t482 @t479))
% 0.42/0.87  (define @t484 () (_ @t244 @t70 @t330 @t70))
% 0.42/0.87  (define @t485 () (or @t343 @t341 @t334 @t331 @t484))
% 0.42/0.87  (define @t486 () (_ @t244 @t70 @t5 @t70))
% 0.42/0.87  (define @t487 () (tptp.sub @t5 @t70))
% 0.42/0.87  (define @t488 () (tptp.var @t487))
% 0.42/0.87  (define @t489 () (not @t488))
% 0.42/0.87  (define @t490 () (or @t489 @t486))
% 0.42/0.87  (define @t491 () (forall @t23 @t490))
% 0.42/0.87  (define @t492 () (not @t491))
% 0.42/0.87  (define @t493 () (or @t343 @t341 @t492 @t331 @t484))
% 0.42/0.87  (define @t494 () (forall @t344 @t493))
% 0.42/0.87  (define @t495 () (tptp.ap @t487 @t2))
% 0.42/0.87  (define @t496 () (tptp.sub @t495 @t70))
% 0.42/0.87  (define @t497 () (tptp.var @t496))
% 0.42/0.87  (define @t498 () (not @t497))
% 0.42/0.87  (define @t499 () (forall @t110 @t498))
% 0.42/0.87  (define @t500 () (=> @t499 @t494))
% 0.42/0.87  (define @t501 () (tptp.sub @t347 @t70))
% 0.42/0.87  (define @t502 () (tptp.var @t501))
% 0.42/0.87  (define @t503 () (not @t502))
% 0.42/0.87  (define @t504 () (or @t354 @t503))
% 0.42/0.87  (define @t505 () (forall @t225 @t504))
% 0.42/0.87  (define @t506 () (=> @t505 @t500))
% 0.42/0.87  (define @t507 () (tptp.sub @t356 @t70))
% 0.42/0.87  (define @t508 () (tptp.ap @t507 @t355))
% 0.42/0.87  (define @t509 () (= @t347 @t508))
% 0.42/0.87  (define @t510 () (not @t509))
% 0.42/0.87  (define @t511 () (or @t354 @t510))
% 0.42/0.87  (define @t512 () (forall @t357 @t511))
% 0.42/0.87  (define @t513 () (=> @t512 @t506))
% 0.42/0.87  (define @t514 () (=> @t366 @t513))
% 0.42/0.87  (define @t515 () (tptp.ap @t487 @t99))
% 0.42/0.87  (define @t516 () (tptp.sub @t2 @t70))
% 0.42/0.87  (define @t517 () (tptp.ap @t516 @t96))
% 0.42/0.87  (define @t518 () (= @t517 @t515))
% 0.42/0.87  (define @t519 () (not @t518))
% 0.42/0.87  (define @t520 () (or @t519 @t105))
% 0.42/0.87  (define @t521 () (not (= @t515 @t517)))
% 0.42/0.87  (define @t522 () (or @t521 @t105))
% 0.42/0.87  (define @t523 () (forall @t102 @t522))
% 0.42/0.87  (define @t524 () (=> @t523 @t514))
% 0.42/0.87  (define @t525 () (or @t519 @t95))
% 0.42/0.87  (define @t526 () (or @t521 @t95))
% 0.42/0.87  (define @t527 () (forall @t102 @t526))
% 0.42/0.87  (define @t528 () (=> @t527 @t524))
% 0.42/0.87  (define @t529 () (= @t5 @t487))
% 0.42/0.87  (define @t530 () (forall @t23 @t529))
% 0.42/0.87  (define @t531 () (and @t372 @t530))
% 0.42/0.87  (define @t532 () (=> @t531 @t528))
% 0.42/0.87  (define @t533 () (tptp.comp @t1 @t70))
% 0.42/0.87  (define @t534 () (= @t1 @t533))
% 0.42/0.87  (define @t535 () (forall @t46 @t534))
% 0.42/0.87  (define @t536 () (tptp.comp @t70 @t1))
% 0.42/0.87  (define @t537 () (= @t1 @t536))
% 0.42/0.87  (define @t538 () (forall @t46 @t537))
% 0.42/0.87  (define @t539 () (and @t378 @t538 @t535))
% 0.42/0.87  (define @t540 () (=> @t539 @t532))
% 0.42/0.87  (define @t541 () (tptp.push @t2 @t70))
% 0.42/0.87  (define @t542 () (tptp.sub @t5 @t541))
% 0.42/0.87  (define @t543 () (_ @t83 @t542))
% 0.42/0.87  (define @t544 () (or @t384 @t543))
% 0.42/0.87  (define @t545 () (forall @t154 @t544))
% 0.42/0.87  (define @t546 () (not @t545))
% 0.42/0.87  (define @t547 () (or @t546 @t382))
% 0.42/0.87  (define @t548 () (forall @t23 @t547))
% 0.42/0.87  (define @t549 () (not @t548))
% 0.42/0.87  (define @t550 () (or @t395 @t391 @t549 @t380))
% 0.42/0.87  (define @t551 () (forall @t396 @t550))
% 0.42/0.87  (define @t552 () (=> @t551 @t540))
% 0.42/0.87  (define @t553 () (or @t391 @t549 @t402 @t399))
% 0.42/0.87  (define @t554 () (forall @t403 @t553))
% 0.42/0.87  (define @t555 () (=> @t554 @t552))
% 0.42/0.87  (define @t556 () (=> @t414 @t555))
% 0.42/0.87  (define @t557 () (=> @t420 @t556))
% 0.42/0.87  (define @t558 () (=> @t422 @t557))
% 0.42/0.87  (define @t559 () (=> @t424 @t558))
% 0.42/0.87  (define @t560 () (=> @t426 @t559))
% 0.42/0.87  (define @t561 () (=> @t429 @t560))
% 0.42/0.87  (define @t562 () (=> @t431 @t561))
% 0.42/0.87  (define @t563 () (=> @t435 @t562))
% 0.42/0.87  (define @t564 () (=> @t436 @t563))
% 0.42/0.87  (define @t565 () (=> @t447 @t564))
% 0.42/0.87  (define @t566 () (=> @t449 @t565))
% 0.42/0.87  (define @t567 () (=> @t77 @t566))
% 0.42/0.87  (define @t568 () (=> @t456 @t567))
% 0.42/0.87  (define @t569 () (=> (= @t70 @t70) @t568))
% 0.42/0.87  (define @t570 () (=> @t535 @t569))
% 0.42/0.87  (define @t571 () (=> @t461 @t570))
% 0.42/0.87  (define @t572 () (=> @t378 @t571))
% 0.42/0.87  (define @t573 () (=> @t465 @t572))
% 0.42/0.87  (define @t574 () (=> @t538 @t573))
% 0.42/0.87  (define @t575 () (=> @t372 @t574))
% 0.42/0.87  (define @t576 () (=> @t474 @t575))
% 0.42/0.87  (define @t577 () (=> @t530 @t576))
% 0.42/0.87  (define @t578 () (=> @t478 @t577))
% 0.42/0.87  (define @t579 () (=> @t482 @t578))
% 0.42/0.87  (define @t580 () (_ @t244 tptp.id @t330 tptp.id))
% 0.42/0.87  (define @t581 () (_ @t244 tptp.id @t5 tptp.id))
% 0.42/0.87  (define @t582 () (tptp.sub @t5 tptp.id))
% 0.42/0.87  (define @t583 () (tptp.var @t582))
% 0.42/0.87  (define @t584 () (not @t583))
% 0.42/0.87  (define @t585 () (or @t584 @t581))
% 0.42/0.87  (define @t586 () (forall @t23 @t585))
% 0.42/0.87  (define @t587 () (not @t586))
% 0.42/0.87  (define @t588 () (or @t343 @t341 @t587 @t331 @t580))
% 0.42/0.87  (define @t589 () (forall @t344 @t588))
% 0.42/0.87  (define @t590 () (tptp.ap @t582 @t2))
% 0.42/0.87  (define @t591 () (tptp.sub @t590 tptp.id))
% 0.42/0.87  (define @t592 () (tptp.var @t591))
% 0.42/0.87  (define @t593 () (not @t592))
% 0.42/0.87  (define @t594 () (forall @t110 @t593))
% 0.42/0.87  (define @t595 () (=> @t594 @t589))
% 0.42/0.87  (define @t596 () (tptp.sub @t347 tptp.id))
% 0.42/0.87  (define @t597 () (tptp.var @t596))
% 0.42/0.87  (define @t598 () (not @t597))
% 0.42/0.87  (define @t599 () (or @t354 @t598))
% 0.42/0.87  (define @t600 () (forall @t225 @t599))
% 0.42/0.87  (define @t601 () (=> @t600 @t595))
% 0.42/0.87  (define @t602 () (tptp.sub @t356 tptp.id))
% 0.42/0.87  (define @t603 () (tptp.ap @t602 @t355))
% 0.42/0.87  (define @t604 () (= @t347 @t603))
% 0.42/0.87  (define @t605 () (not @t604))
% 0.42/0.87  (define @t606 () (or @t354 @t605))
% 0.42/0.87  (define @t607 () (forall @t357 @t606))
% 0.42/0.87  (define @t608 () (=> @t607 @t601))
% 0.42/0.87  (define @t609 () (=> @t366 @t608))
% 0.42/0.87  (define @t610 () (tptp.sub @t2 tptp.id))
% 0.42/0.87  (define @t611 () (tptp.ap @t610 @t96))
% 0.42/0.87  (define @t612 () (tptp.ap @t582 @t99))
% 0.42/0.87  (define @t613 () (= @t612 @t611))
% 0.42/0.87  (define @t614 () (not @t613))
% 0.42/0.87  (define @t615 () (or @t614 @t105))
% 0.42/0.87  (define @t616 () (forall @t102 @t615))
% 0.42/0.87  (define @t617 () (=> @t616 @t609))
% 0.42/0.87  (define @t618 () (or @t614 @t95))
% 0.42/0.87  (define @t619 () (forall @t102 @t618))
% 0.42/0.87  (define @t620 () (=> @t619 @t617))
% 0.42/0.87  (define @t621 () (= @t5 @t582))
% 0.42/0.87  (define @t622 () (forall @t23 @t621))
% 0.42/0.87  (define @t623 () (and @t372 @t622))
% 0.42/0.87  (define @t624 () (=> @t623 @t620))
% 0.42/0.87  (define @t625 () (tptp.comp @t1 tptp.id))
% 0.42/0.87  (define @t626 () (= @t1 @t625))
% 0.42/0.87  (define @t627 () (forall @t46 @t626))
% 0.42/0.87  (define @t628 () (tptp.comp tptp.id @t1))
% 0.42/0.87  (define @t629 () (= @t1 @t628))
% 0.42/0.87  (define @t630 () (forall @t46 @t629))
% 0.42/0.87  (define @t631 () (and @t378 @t630 @t627))
% 0.42/0.87  (define @t632 () (=> @t631 @t624))
% 0.42/0.87  (define @t633 () (tptp.push @t2 tptp.id))
% 0.42/0.87  (define @t634 () (tptp.sub @t5 @t633))
% 0.42/0.87  (define @t635 () (_ @t83 @t634))
% 0.42/0.87  (define @t636 () (or @t384 @t635))
% 0.42/0.87  (define @t637 () (forall @t154 @t636))
% 0.42/0.87  (define @t638 () (not @t637))
% 0.42/0.87  (define @t639 () (or @t638 @t382))
% 0.42/0.87  (define @t640 () (forall @t23 @t639))
% 0.42/0.87  (define @t641 () (not @t640))
% 0.42/0.87  (define @t642 () (or @t395 @t391 @t641 @t380))
% 0.42/0.87  (define @t643 () (forall @t396 @t642))
% 0.42/0.87  (define @t644 () (=> @t643 @t632))
% 0.42/0.87  (define @t645 () (or @t391 @t641 @t402 @t399))
% 0.42/0.87  (define @t646 () (forall @t403 @t645))
% 0.42/0.87  (define @t647 () (=> @t646 @t644))
% 0.42/0.87  (define @t648 () (=> @t414 @t647))
% 0.42/0.87  (define @t649 () (=> @t420 @t648))
% 0.42/0.87  (define @t650 () (=> @t422 @t649))
% 0.42/0.87  (define @t651 () (=> @t424 @t650))
% 0.42/0.87  (define @t652 () (=> @t426 @t651))
% 0.42/0.87  (define @t653 () (=> @t429 @t652))
% 0.42/0.87  (define @t654 () (=> @t431 @t653))
% 0.42/0.87  (define @t655 () (=> @t435 @t654))
% 0.42/0.87  (define @t656 () (=> @t436 @t655))
% 0.42/0.87  (define @t657 () (=> @t447 @t656))
% 0.42/0.87  (define @t658 () (=> @t449 @t657))
% 0.42/0.87  (define @t659 () (=> @t77 @t658))
% 0.42/0.87  (define @t660 () (=> @t456 @t659))
% 0.42/0.87  (define @t661 () (= tptp.id @t70))
% 0.42/0.87  (define @t662 () (=> @t661 @t660))
% 0.42/0.87  (define @t663 () (=> @t627 @t662))
% 0.42/0.87  (define @t664 () (=> @t461 @t663))
% 0.42/0.87  (define @t665 () (=> @t378 @t664))
% 0.42/0.87  (define @t666 () (=> @t465 @t665))
% 0.42/0.87  (define @t667 () (=> @t630 @t666))
% 0.42/0.87  (define @t668 () (=> @t372 @t667))
% 0.42/0.87  (define @t669 () (=> @t474 @t668))
% 0.42/0.87  (define @t670 () (=> @t622 @t669))
% 0.42/0.87  (define @t671 () (=> @t478 @t670))
% 0.42/0.87  (define @t672 () (or @t331 @t580))
% 0.42/0.87  (define @t673 () (or @t343 @t341 @t587 @t672))
% 0.42/0.87  (define @t674 () (forall @t344 @t673))
% 0.42/0.87  (define @t675 () (@list @t330))
% 0.42/0.87  (define @t676 () (forall @t675 @t673))
% 0.42/0.87  (define @t677 () (forall @t675 @t672))
% 0.42/0.87  (define @t678 () (@list @t5))
% 0.42/0.87  (define @t679 () (or @t343 @t341 @t587 @t677))
% 0.42/0.87  (define @t680 () (forall @t23 (or @t393 @t581)))
% 0.42/0.87  (define @t681 () (or @t343 @t341 @t587 @t680))
% 0.42/0.87  (define @t682 () (or @t341 @t587 @t680))
% 0.42/0.87  (define @t683 () (=> @t586 @t680))
% 0.42/0.87  (define @t684 () (=> @t340 @t683))
% 0.42/0.87  (define @t685 () (not @t80))
% 0.42/0.87  (define @t686 () (or @t685 @t249))
% 0.42/0.87  (define @t687 () (_ tptp.var @t22))
% 0.42/0.87  (define @t688 () (not @t687))
% 0.42/0.87  (define @t689 () (or @t688 @t249))
% 0.42/0.87  (define @t690 () (@list @t37))
% 0.42/0.87  (define @t691 () (lambda @t690 @t326))
% 0.42/0.87  (define @t692 () (lambda (@list @t5 @t37) @t326))
% 0.42/0.87  (define @t693 () (_ @t327 tptp.id))
% 0.42/0.87  (define @t694 () (=> (_ (_ @t693 @t5) tptp.id) @t249))
% 0.42/0.87  (define @t695 () (forall @t23 @t694))
% 0.42/0.87  (define @t696 () (=> @t695 @t267))
% 0.42/0.87  (define @t697 () (not @t257))
% 0.42/0.87  (define @t698 () (or @t697 @t254))
% 0.42/0.87  (define @t699 () (=> @t259 @t696))
% 0.42/0.87  (define @t700 () (not @t254))
% 0.42/0.87  (define @t701 () (or @t700 @t257))
% 0.42/0.87  (define @t702 () (=> @t260 @t699))
% 0.42/0.87  (define @t703 () (forall @t246 @t702))
% 0.42/0.87  (define @t704 () (_ tptp.ap @t22))
% 0.42/0.87  (define @t705 () (_ @t704 @t2))
% 0.42/0.87  (define @t706 () (_ tptp.sub @t705))
% 0.42/0.87  (define @t707 () (_ @t706 tptp.id))
% 0.42/0.87  (define @t708 () (_ tptp.var @t707))
% 0.42/0.87  (define @t709 () (_ tptp.ap @t582))
% 0.42/0.87  (define @t710 () (not @t708))
% 0.42/0.87  (define @t711 () (lambda @t690 (_ tptp.var (_ @t706 @t37))))
% 0.42/0.87  (define @t712 () (lambda @t154 @t705))
% 0.42/0.87  (define @t713 () (lambda (@list @t37 @t2) @t322))
% 0.42/0.87  (define @t714 () (lambda (@list @t5 @t37 @t2) @t322))
% 0.42/0.87  (define @t715 () (_ @t323 tptp.id))
% 0.42/0.87  (define @t716 () (_ (_ @t715 @t5) tptp.id))
% 0.42/0.87  (define @t717 () (_ @t716 @t2))
% 0.42/0.87  (define @t718 () (not (_ (_ @t693 @t717) tptp.id)))
% 0.42/0.87  (define @t719 () (forall @t110 @t718))
% 0.42/0.87  (define @t720 () (_ tptp.sub @t324))
% 0.42/0.87  (define @t721 () (_ @t720 tptp.id))
% 0.42/0.87  (define @t722 () (_ tptp.var @t721))
% 0.42/0.87  (define @t723 () (not @t722))
% 0.42/0.87  (define @t724 () (or @t354 @t723))
% 0.42/0.87  (define @t725 () (lambda @t690 (_ tptp.var (_ @t720 @t37))))
% 0.42/0.87  (define @t726 () (lambda @t23 (_ @t312 @t5)))
% 0.42/0.87  (define @t727 () (_ @t208 tptp.sh))
% 0.42/0.87  (define @t728 () (lambda @t225 @t324))
% 0.42/0.87  (define @t729 () (_ @t325 tptp.id))
% 0.42/0.87  (define @t730 () (_ @t729 @t208))
% 0.42/0.87  (define @t731 () (not (_ (_ @t693 @t730) tptp.id)))
% 0.42/0.87  (define @t732 () (=> @t223 @t731))
% 0.42/0.87  (define @t733 () (forall @t225 @t732))
% 0.42/0.87  (define @t734 () (@list @t356 @t355))
% 0.42/0.87  (define @t735 () (forall @t734 @t606))
% 0.42/0.87  (define @t736 () (forall @t734 @t605))
% 0.42/0.87  (define @t737 () (or @t354 @t736))
% 0.42/0.87  (define @t738 () (forall @t110 (not (= @t347 @t590))))
% 0.42/0.87  (define @t739 () (= @t324 @t705))
% 0.42/0.87  (define @t740 () (not @t739))
% 0.42/0.87  (define @t741 () (lambda @t151 (_ @t312 @t99)))
% 0.42/0.87  (define @t742 () (_ @t229 tptp.sh))
% 0.42/0.87  (define @t743 () (= (_ @t729 @t229) @t717))
% 0.42/0.87  (define @t744 () (not @t743))
% 0.42/0.87  (define @t745 () (forall @t110 @t744))
% 0.42/0.87  (define @t746 () (=> @t223 @t745))
% 0.42/0.87  (define @t747 () (forall @t225 @t746))
% 0.42/0.87  (define @t748 () (or @t363 @t362 @t361))
% 0.42/0.87  (define @t749 () (or @t354 @t748))
% 0.42/0.87  (define @t750 () (forall @t365 @t749))
% 0.42/0.87  (define @t751 () (@list @t360 @t359 @t358))
% 0.42/0.87  (define @t752 () (forall @t751 @t749))
% 0.42/0.87  (define @t753 () (forall @t751 @t748))
% 0.42/0.87  (define @t754 () (@var "BOUND_VARIABLE_9563" tptp.term))
% 0.42/0.87  (define @t755 () (@var "BOUND_VARIABLE_9561" tptp.subst))
% 0.42/0.87  (define @t756 () (or @t354 @t753))
% 0.42/0.87  (define @t757 () (= (_ @t200 @t755 @t754) (_ @t198 @t755 @t754)))
% 0.42/0.87  (define @t758 () (_ @t198 tptp.sh tptp.one))
% 0.42/0.87  (define @t759 () (tptp.lam @t758))
% 0.42/0.87  (define @t760 () (not (= @t347 @t759)))
% 0.42/0.87  (define @t761 () (_ @t198 @t349 @t348))
% 0.42/0.87  (define @t762 () (_ @t198 @t1 @t5))
% 0.42/0.87  (define @t763 () (tptp.sub @t762 @t37))
% 0.42/0.87  (define @t764 () (forall @t215 (= @t763 @t761)))
% 0.42/0.87  (define @t765 () (not @t764))
% 0.42/0.87  (define @t766 () (or @t765 @t760 @t757))
% 0.42/0.87  (define @t767 () (forall (@list @t198 @t755 @t754) @t766))
% 0.42/0.87  (define @t768 () (@list @t755 @t754))
% 0.42/0.87  (define @t769 () (forall @t768 @t766))
% 0.42/0.87  (define @t770 () (forall @t768 @t757))
% 0.42/0.87  (define @t771 () (or @t765 @t760 @t770))
% 0.42/0.87  (define @t772 () (forall @t204 (= @t351 @t762)))
% 0.42/0.87  (define @t773 () (_ @t198 tptp.sh))
% 0.42/0.87  (define @t774 () (_ @t773 tptp.one))
% 0.42/0.87  (define @t775 () (_ tptp.lam @t774))
% 0.42/0.87  (define @t776 () (= @t324 @t775))
% 0.42/0.87  (define @t777 () (not @t776))
% 0.42/0.87  (define @t778 () (or @t765 @t777 @t772))
% 0.42/0.87  (define @t779 () (=> @t776 @t772))
% 0.42/0.87  (define @t780 () (lambda @t23 (_ @t773 @t5)))
% 0.42/0.87  (define @t781 () (_ @t206 tptp.sh))
% 0.42/0.87  (define @t782 () (= @t730 (_ @t729 @t206)))
% 0.42/0.87  (define @t783 () (=> @t782 @t205))
% 0.42/0.87  (define @t784 () (=> @t216 @t783))
% 0.42/0.87  (define @t785 () (forall @t218 @t784))
% 0.42/0.87  (define @t786 () (=> @t223 @t785))
% 0.42/0.87  (define @t787 () (forall @t225 @t786))
% 0.42/0.87  (define @t788 () (_ @t3 tptp.id))
% 0.42/0.87  (define @t789 () (_ tptp.ap @t788))
% 0.42/0.87  (define @t790 () (_ @t789 @t96))
% 0.42/0.87  (define @t791 () (_ @t704 @t99))
% 0.42/0.87  (define @t792 () (= @t791 @t790))
% 0.42/0.87  (define @t793 () (not @t792))
% 0.42/0.87  (define @t794 () (or @t793 @t105))
% 0.42/0.87  (define @t795 () (@var "BOUND_VARIABLE_9440" tptp.term))
% 0.42/0.87  (define @t796 () (lambda (@list @t795) (_ @t789 @t795)))
% 0.42/0.87  (define @t797 () (lambda (@list @t37 @t795) (_ (_ tptp.ap (_ @t3 @t37)) @t795)))
% 0.42/0.87  (define @t798 () (@list @t2))
% 0.42/0.87  (define @t799 () (= (_ @t716 @t99) (_ (_ (_ @t715 @t2) tptp.id) @t96)))
% 0.42/0.87  (define @t800 () (=> @t799 @t105))
% 0.42/0.87  (define @t801 () (forall @t102 @t800))
% 0.42/0.87  (define @t802 () (or @t793 @t95))
% 0.42/0.87  (define @t803 () (=> @t799 @t95))
% 0.42/0.87  (define @t804 () (forall @t102 @t803))
% 0.42/0.87  (define @t805 () (= @t5 @t22))
% 0.42/0.87  (define @t806 () (= @t1 @t67))
% 0.42/0.87  (define @t807 () (= @t1 @t45))
% 0.42/0.87  (define @t808 () (@list @t379))
% 0.42/0.87  (define @t809 () (forall @t808 @t642))
% 0.42/0.87  (define @t810 () (forall @t808 @t380))
% 0.42/0.87  (define @t811 () (or @t395 @t391 @t641 @t810))
% 0.42/0.87  (define @t812 () (forall @t23 @t388))
% 0.42/0.87  (define @t813 () (or @t395 @t391 @t641 @t812))
% 0.42/0.87  (define @t814 () (or @t391 @t641 @t812))
% 0.42/0.87  (define @t815 () (=> @t640 @t812))
% 0.42/0.87  (define @t816 () (=> @t390 @t815))
% 0.42/0.87  (define @t817 () (or @t638 @t132))
% 0.42/0.87  (define @t818 () (not @t136))
% 0.42/0.87  (define @t819 () (or @t818 @t170))
% 0.42/0.87  (define @t820 () (not @t84))
% 0.42/0.87  (define @t821 () (or @t820 @t818 @t135))
% 0.42/0.87  (define @t822 () (or @t685 @t84))
% 0.42/0.87  (define @t823 () (or @t402 @t399))
% 0.42/0.87  (define @t824 () (or @t391 @t641 @t823))
% 0.42/0.87  (define @t825 () (forall @t403 @t824))
% 0.42/0.87  (define @t826 () (@list @t398 @t397))
% 0.42/0.87  (define @t827 () (forall @t826 @t824))
% 0.42/0.87  (define @t828 () (forall @t826 @t823))
% 0.42/0.87  (define @t829 () (or @t391 @t641 @t828))
% 0.42/0.87  (define @t830 () (_ @t83 @t370))
% 0.42/0.87  (define @t831 () (forall @t19 (or @t411 @t830)))
% 0.42/0.87  (define @t832 () (or @t391 @t641 @t831))
% 0.42/0.87  (define @t833 () (=> @t640 @t831))
% 0.42/0.87  (define @t834 () (or @t411 @t165))
% 0.42/0.87  (define @t835 () (not @t153))
% 0.42/0.87  (define @t836 () (or @t835 @t152))
% 0.42/0.87  (define @t837 () (or @t407 @t406))
% 0.42/0.87  (define @t838 () (or @t411 @t389 @t837))
% 0.42/0.87  (define @t839 () (forall @t413 @t838))
% 0.42/0.87  (define @t840 () (@list @t405))
% 0.42/0.87  (define @t841 () (forall @t840 @t838))
% 0.42/0.87  (define @t842 () (forall @t840 @t837))
% 0.42/0.87  (define @t843 () (or @t411 @t389 @t842))
% 0.42/0.87  (define @t844 () (tptp.sub @t2 @t404))
% 0.42/0.87  (define @t845 () (_ @t83 @t844))
% 0.42/0.87  (define @t846 () (forall @t154 (or @t401 @t845)))
% 0.42/0.87  (define @t847 () (or @t411 @t820 @t846))
% 0.42/0.87  (define @t848 () (=> @t84 @t846))
% 0.42/0.87  (define @t849 () (or @t835 @t157))
% 0.42/0.87  (define @t850 () (@list @t415))
% 0.42/0.87  (define @t851 () (forall @t850 @t419))
% 0.42/0.87  (define @t852 () (forall @t850 @t416))
% 0.42/0.87  (define @t853 () (or @t395 @t391 @t418 @t852))
% 0.42/0.87  (define @t854 () (or @t395 @t391 @t418 @t812))
% 0.42/0.87  (define @t855 () (or @t391 @t418 @t812))
% 0.42/0.87  (define @t856 () (=> @t417 @t812))
% 0.42/0.87  (define @t857 () (=> @t390 @t856))
% 0.42/0.87  (define @t858 () (or @t820 @t132))
% 0.42/0.87  (define @t859 () (not @t114))
% 0.42/0.87  (define @t860 () (or @t859 @t95))
% 0.42/0.87  (define @t861 () (not @t109))
% 0.42/0.87  (define @t862 () (or @t861 @t95))
% 0.42/0.87  (define @t863 () (not @t101))
% 0.42/0.87  (define @t864 () (or @t863 @t105))
% 0.42/0.87  (define @t865 () (or @t863 @t95))
% 0.42/0.87  (define @t866 () (or @t439 @t438))
% 0.42/0.87  (define @t867 () (or @t444 @t442 @t866))
% 0.42/0.87  (define @t868 () (forall @t446 @t867))
% 0.42/0.87  (define @t869 () (@list @t437))
% 0.42/0.87  (define @t870 () (forall @t869 @t867))
% 0.42/0.87  (define @t871 () (forall @t869 @t866))
% 0.42/0.87  (define @t872 () (or @t444 @t442 @t871))
% 0.42/0.87  (define @t873 () (not @t90))
% 0.42/0.87  (define @t874 () (or @t873 @t442 @t394))
% 0.42/0.87  (define @t875 () (=> @t441 @t394))
% 0.42/0.87  (define @t876 () (or @t685 @t820 @t86))
% 0.42/0.87  (define @t877 () (or @t685 @t79))
% 0.42/0.87  (define @t878 () (= @t1 @t74))
% 0.42/0.87  (define @t879 () (= @t1 @t50))
% 0.42/0.87  (define @t880 () (= @t5 @t18))
% 0.42/0.87  (define @t881 () (@quantifiers_skolemize @t345 1))
% 0.42/0.87  (define @t882 () (tptp.var @t881))
% 0.42/0.87  (define @t883 () (@quantifiers_skolemize @t345 0))
% 0.42/0.87  (define @t884 () (_ @t883 @t329 @t881 @t329))
% 0.42/0.87  (define @t885 () (not @t882))
% 0.42/0.87  (define @t886 () (forall @t23 (or @t333 (_ @t883 @t329 @t5 @t329))))
% 0.42/0.87  (define @t887 () (not @t886))
% 0.42/0.87  (define @t888 () (_ @t883 @t1 @t5 @t335))
% 0.42/0.87  (define @t889 () (_ @t883 @t338 @t337 @t37))
% 0.42/0.87  (define @t890 () (or (not (forall @t258 (or (not @t888) @t889))) (not (forall @t258 (or (not @t889) @t888))) @t887 @t885 @t884))
% 0.42/0.87  (define @t891 () (@list true))
% 0.42/0.87  (define @t892 () (@list @t890))
% 0.42/0.87  (define @t893 () (@list @t881))
% 0.42/0.87  (define @t894 () (tptp.var (tptp.sub @t881 @t329)))
% 0.42/0.88  (define @t895 () (not @t894))
% 0.42/0.88  (define @t896 () (or @t895 @t884))
% 0.42/0.88  (assume @p1 @t15)
% 0.42/0.88  (assume @p2 @t21)
% 0.42/0.88  (assume @p3 @t25)
% 0.42/0.88  (assume @p4 @t36)
% 0.42/0.88  (assume @p5 @t44)
% 0.42/0.88  (assume @p6 @t48)
% 0.42/0.88  (assume @p7 @t52)
% 0.42/0.88  (assume @p8 @t60)
% 0.42/0.88  (assume @p9 @t66)
% 0.42/0.88  (assume @p10 @t69)
% 0.42/0.88  (assume @p11 @t71)
% 0.42/0.88  (assume @p12 @t76)
% 0.42/0.88  (assume @p13 (= tptp.ulamvar1 @t77))
% 0.42/0.88  (assume @p14 @t82)
% 0.42/0.88  (assume @p15 @t94)
% 0.42/0.88  (assume @p16 @t104)
% 0.42/0.88  (assume @p17 @t107)
% 0.42/0.88  (assume @p18 @t112)
% 0.42/0.88  (assume @p19 @t116)
% 0.42/0.88  (assume @p20 @t122)
% 0.42/0.88  (assume @p21 @t126)
% 0.42/0.88  (assume @p22 @t130)
% 0.42/0.88  (assume @p23 @t142)
% 0.42/0.88  (assume @p24 (= tptp.pushprop_lem0 (forall @t146 (exists @t145 @t144))))
% 0.42/0.88  (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)))))))))))))))))))))))))
% 0.42/0.88  (assume @p26 (= tptp.pushprop_lem0_lthm tptp.pushprop_lem0))
% 0.42/0.88  (assume @p27 (= tptp.pushprop_lem1 (forall (@list @t83 @t148 @t5 @t1 @t2) (=> @t84 (_ @t148 (_ @t6 (_ @t147 @t1)))))))
% 0.42/0.88  (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)))))))))))))))))))))))))
% 0.42/0.88  (assume @p29 (= tptp.pushprop_lem1_lthm (=> tptp.axvarcons (=> tptp.axclos (=> tptp.axshiftcons (=> tptp.ulamvarind tptp.pushprop_lem1))))))
% 0.42/0.88  (assume @p30 (= tptp.pushprop_lem1v2 (forall @t149 (=> @t84 (=> @t144 (_ @t143 tptp.one))))))
% 0.42/0.88  (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)))))))))))))))))))))))))
% 0.42/0.88  (assume @p32 (= tptp.pushprop_lem1v2_lthm (=> tptp.axvarcons tptp.pushprop_lem1v2)))
% 0.42/0.88  (assume @p33 (= tptp.pushprop_lem2v2 (forall @t149 (=> @t144 (=> @t155 (forall @t151 (=> (_ tptp.var @t99) (=> (_ @t143 @t99) (_ @t143 (_ @t150 tptp.sh))))))))))
% 0.42/0.88  (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)))))))))))))))))))))))))
% 0.42/0.88  (assume @p35 (= tptp.pushprop_lem2v2_lthm (=> tptp.axclos (=> tptp.axshiftcons tptp.pushprop_lem2v2))))
% 0.42/0.88  (assume @p36 (= tptp.pushprop_lem3v2 (forall @t149 (=> @t144 (=> (forall @t154 (=> @t153 @t159)) @t158)))))
% 0.42/0.88  (assume @p37 (= tptp.pushprop_lem3v2_lthm tptp.pushprop_lem3v2))
% 0.42/0.88  (assume @p38 @t163)
% 0.42/0.88  (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)))))))))))))))))))))))))
% 0.42/0.88  (assume @p40 (= tptp.pushprop_lthm_orig @t164))
% 0.42/0.88  (assume @p41 (= tptp.pushprop_lthm (=> tptp.pushprop_lem0 @t164)))
% 0.42/0.88  (assume @p42 @t177)
% 0.42/0.88  (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))))))))))))))))))))))))
% 0.42/0.88  (assume @p44 (= tptp.induction2lem_lthm (=> tptp.axapp (=> tptp.axvarcons (=> tptp.axabs (=> tptp.axclos (=> tptp.axshiftcons (=> tptp.axassoc (=> tptp.axmap (=> tptp.axidr @t178))))))))))
% 0.42/0.88  (assume @p45 @t183)
% 0.42/0.88  (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))))))))))))))))))))))))))
% 0.42/0.88  (assume @p47 (= tptp.induction2_lthm (=> tptp.axvarid @t184)))
% 0.42/0.88  (assume @p48 @t186)
% 0.42/0.88  (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))))))))))))))))))))))))))))
% 0.42/0.88  (assume @p50 (= tptp.substmonoid_lthm (=> tptp.axidl (=> tptp.axassoc (=> tptp.axidr tptp.substmonoid)))))
% 0.42/0.88  (assume @p51 @t188)
% 0.42/0.88  (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)))))))))))))))))))))))))))))
% 0.42/0.88  (assume @p53 (= tptp.termmset_lthm (=> tptp.axvarid (=> tptp.axclos tptp.termmset))))
% 0.42/0.88  (assume @p54 @t194)
% 0.42/0.88  (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))))))))))))))))))))))))))))))
% 0.42/0.88  (assume @p56 (= tptp.hoasapinj1_lthm (=> tptp.axvarid (=> tptp.apinj1 tptp.hoasapinj1))))
% 0.42/0.88  (assume @p57 @t197)
% 0.42/0.88  (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)))))))))))))))))))))))))))))))
% 0.42/0.88  (assume @p59 (= tptp.hoasapinj2_lthm (=> tptp.apinj2 tptp.hoasapinj2)))
% 0.42/0.88  (assume @p60 @t227)
% 0.42/0.88  (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))))))))))))))))))))))))))))))))
% 0.42/0.88  (assume @p62 (= tptp.hoaslaminj_lthm (=> tptp.axvarcons (=> tptp.axshiftcons (=> tptp.laminj tptp.hoaslaminj)))))
% 0.42/0.88  (assume @p63 @t235)
% 0.42/0.88  (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)))))))))))))))))))))))))))))))))
% 0.42/0.88  (assume @p65 (= tptp.hoaslamnotap_lthm (=> tptp.lamnotap tptp.hoaslamnotap)))
% 0.42/0.88  (assume @p66 @t240)
% 0.42/0.88  (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))))))))))))))))))))))))))))))))))
% 0.42/0.88  (assume @p68 (= tptp.hoaslamnotvar_lthm (=> tptp.axvarid (=> tptp.lamnotvar tptp.hoaslamnotvar))))
% 0.42/0.88  (assume @p69 @t243)
% 0.42/0.88  (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)))))))))))))))))))))))))))))))))))
% 0.42/0.88  (assume @p71 (= tptp.hoasapnotvar_lthm (=> tptp.axvarid (=> tptp.apnotvar tptp.hoasapnotvar))))
% 0.42/0.88  (assume @p72 (= tptp.hoasinduction_lem0 (forall @t246 (exists @t145 @t245))))
% 0.42/0.88  (assume @p73 (= tptp.hoasinduction_lem0_lthm tptp.hoasinduction_lem0))
% 0.42/0.88  (assume @p74 (= tptp.hoasinduction_lem1v2 (forall @t261 (=> @t260 (=> @t259 (=> @t251 (=> @t245 (forall @t23 (=> @t80 @t247)))))))))
% 0.42/0.88  (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))))))))))))))))))))))))))))))))))))
% 0.42/0.88  (assume @p76 (= tptp.hoasinduction_lem2v2 (forall @t261 (=> @t260 (=> @t259 (=> @t263 (=> @t245 (forall @t110 (=> @t247 (=> @t159 (_ @t143 @t10)))))))))))
% 0.42/0.88  (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))))))))))))))))))))))))))))))))))))
% 0.42/0.88  (assume @p78 (= tptp.hoasinduction_lem3v2_f (forall @t154 (exists @t225 (forall @t19 (= @t202 @t156))))))
% 0.42/0.88  (assume @p79 (= tptp.hoasinduction_lem3v2_f_lthm tptp.hoasinduction_lem3v2_f))
% 0.42/0.88  (assume @p80 (= tptp.hoasinduction_lem3v2 (forall @t261 (=> @t260 (=> @t259 @t266)))))
% 0.42/0.88  (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))))))))))))))))))))))))))))))))))))
% 0.42/0.88  (assume @p82 (= tptp.hoasinduction_lem3v2_lthm (=> tptp.axvarid (=> tptp.axvarshift (=> tptp.axclos (=> tptp.axmap tptp.hoasinduction_lem3v2))))))
% 0.42/0.88  (assume @p83 (= tptp.hoasinduction_lem3v2a (forall @t261 @t266)))
% 0.42/0.88  (assume @p84 (= tptp.hoasinduction_lem3v2a_lthm (=> tptp.hoasinduction_lem3v2_f (=> tptp.axvarid (=> tptp.axvarshift (=> tptp.axclos (=> tptp.axmap tptp.hoasinduction_lem3v2a)))))))
% 0.42/0.88  (assume @p85 @t272)
% 0.42/0.88  (assume @p86 @t307)
% 0.42/0.88  (assume @p87 (= tptp.hoasinduction_lem1_lthm @t306))
% 0.42/0.88  (assume @p88 (= tptp.hoasinduction_lem2 (forall @t246 (=> @t260 (=> @t259 (=> @t263 (forall @t110 (=> @t249 (=> @t262 (_ (_ @t248 @t10) tptp.id))))))))))
% 0.42/0.88  (assume @p89 (= tptp.hoasinduction_lem2_gthm @t308))
% 0.42/0.88  (assume @p90 (= tptp.hoasinduction_lem2_lthm @t308))
% 0.42/0.88  (assume @p91 (= tptp.hoasinduction_lem3aa (forall @t246 (=> @t265 @t310))))
% 0.42/0.88  (assume @p92 (= tptp.hoasinduction_lem3aa_lthm (=> tptp.axclos (=> tptp.axmap tptp.hoasinduction_lem3aa))))
% 0.42/0.88  (assume @p93 (= tptp.hoasinduction_lem3aaa (forall @t246 (=> (forall @t225 (=> (exists @t151 (forall @t215 (and (= @t221 (_ (_ tptp.sub (_ @t150 @t16)) @t37)) (= (_ @t150 @t62) @t220)))) @t264)) @t310))))
% 0.42/0.88  (assume @p94 (= tptp.hoasinduction_lem3 (forall @t246 (=> @t260 (=> @t259 @t311)))))
% 0.42/0.88  (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))))))))))))))))))))))))))))))))))))))
% 0.42/0.88  (assume @p96 (= tptp.hoasinduction_lem3_lthm (=> tptp.axvarid (=> tptp.axvarshift (=> tptp.hoasinduction_lem3aa tptp.hoasinduction_lem3)))))
% 0.42/0.88  (assume @p97 (= tptp.hoasinduction_lem3a (forall @t246 @t311)))
% 0.42/0.88  (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))))))))))))))))))))))))))))))))))))))
% 0.42/0.88  (assume @p99 (= tptp.hoasinduction_lem3a_lthm (=> tptp.axvarid (=> tptp.axvarshift (=> tptp.hoasinduction_lem3aa tptp.hoasinduction_lem3a)))))
% 0.42/0.88  (assume @p100 (= tptp.hoasinduction_lem3b (forall @t154 (exists @t225 (= (_ @t3 @t70) @t313)))))
% 0.42/0.88  (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))))))))))))))))))))))))))))))))))))))
% 0.42/0.88  (assume @p102 (= tptp.hoasinduction_lem3b_lthm tptp.hoasinduction_lem3b))
% 0.42/0.88  (assume @p103 (= tptp.hoasinduction (forall @t246 (=> @t260 (=> @t259 (=> @t251 @t314))))))
% 0.42/0.88  (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 @t315))))))))))))))))))))))))))))))))))))
% 0.42/0.88  (assume @p105 (= tptp.hoasinduction_lthm (=> tptp.induction2 @t315)))
% 0.42/0.88  (assume @p106 (= tptp.hoasinduction_lthm_3 (=> tptp.hoasinduction_lem0 (=> tptp.induction2 (=> tptp.axvarid (=> tptp.hoasinduction_lem3v2a tptp.hoasinduction))))))
% 0.42/0.88  (assume @p107 (= tptp.hoasinduction_no_psi_cond (forall @t246 @t314)))
% 0.42/0.88  (assume @p108 (= tptp.hoasinduction_no_psi_cond_lthm (=> tptp.hoasinduction_lem0 (=> tptp.induction2 (=> tptp.axvarid (=> tptp.hoasinduction_lem3v2a tptp.hoasinduction_no_psi_cond))))))
% 0.42/0.88  (assume @p109 @t316)
% 0.42/0.88  (assume @p110 true)
% 0.42/0.88  (step @p111 (= tptp.pushprop_p_and_p_prime @t320) :rule refl :args (@t320))
% 0.42/0.88  (step @p112 (= tptp.hoasap @t323) :rule refl :args (@t323))
% 0.42/0.88  (step @p113 (= tptp.hoaslam @t325) :rule refl :args (@t325))
% 0.42/0.88  (step @p114 (= tptp.hoasvar @t327) :rule refl :args (@t327))
% 0.42/0.88  (step @p115 (= tptp.hoasinduction_p_and_p_prime @t328) :rule refl :args (@t328))
% 0.42/0.88  (step @p116 :rule evaluate :args ((= false true)))
% 0.42/0.88  (step @p117 :rule refl :args (@t450))
% 0.42/0.88  (step @p118 :rule refl :args (@t451))
% 0.42/0.88  (step @p119 :rule refl :args (@t77))
% 0.42/0.88  (step @p120 :rule cong :premises (@p119 @p118) :args ((= @t77 @t451)))
% 0.42/0.88  (step @p121 :rule symm :premises (@p120))
% 0.42/0.88  (step @p122 :rule eq_resolve :premises (@p119 @p121))
% 0.42/0.88  (step @p123 :rule cong :premises (@p122 @p117) :args (@t452))
% 0.42/0.88  (step @p124 :rule refl :args (@t456))
% 0.42/0.88  (step @p125 :rule cong :premises (@p124 @p123) :args (@t457))
% 0.42/0.88  (step @p126 :rule refl :args (@t373))
% 0.42/0.88  (step @p127 :rule cong :premises (@p126 @p125) :args (@t458))
% 0.42/0.88  (step @p128 :rule refl :args (@t461))
% 0.42/0.88  (step @p129 :rule cong :premises (@p128 @p127) :args (@t462))
% 0.42/0.88  (step @p130 :rule refl :args (@t378))
% 0.42/0.88  (step @p131 :rule cong :premises (@p130 @p129) :args (@t463))
% 0.42/0.88  (step @p132 :rule refl :args (@t465))
% 0.42/0.88  (step @p133 :rule cong :premises (@p132 @p131) :args (@t466))
% 0.42/0.88  (step @p134 :rule refl :args (@t374))
% 0.42/0.88  (step @p135 :rule cong :premises (@p134 @p133) :args (@t467))
% 0.42/0.88  (step @p136 :rule refl :args (@t372))
% 0.42/0.88  (step @p137 :rule cong :premises (@p136 @p135) :args (@t468))
% 0.42/0.88  (step @p138 :rule refl :args (@t474))
% 0.42/0.88  (step @p139 :rule cong :premises (@p138 @p137) :args (@t475))
% 0.42/0.88  (step @p140 :rule refl :args (@t368))
% 0.42/0.88  (step @p141 :rule cong :premises (@p140 @p139) :args (@t476))
% 0.42/0.88  (step @p142 :rule refl :args (@t478))
% 0.42/0.88  (step @p143 :rule cong :premises (@p142 @p141) :args (@t479))
% 0.42/0.88  (step @p144 :rule refl :args (@t482))
% 0.42/0.88  (step @p145 :rule cong :premises (@p144 @p143) :args (@t483))
% 0.42/0.88  (step @p146 :rule cong :premises (@p145) :args ((not @t483)))
% 0.42/0.88  (step @p147 :rule bool-impl-true2 :args (@t457))
% 0.42/0.88  (step @p148 :rule refl :args (@t329))
% 0.42/0.88  (step @p149 :rule refl :args (@t70))
% 0.42/0.88  (step @p150 :rule cong :premises (@p149 @p148) :args ((= @t70 @t329)))
% 0.42/0.88  (step @p151 :rule symm :premises (@p150))
% 0.42/0.88  (step @p152 :rule eq_resolve :premises (@p149 @p151))
% 0.42/0.88  (step @p153 :rule refl :args (@t330))
% 0.42/0.88  (step @p154 :rule cong :premises (@p152 @p153 @p152) :args (@t484))
% 0.42/0.88  (step @p155 :rule refl :args (@t331))
% 0.42/0.88  (step @p156 :rule refl :args (@t334))
% 0.42/0.88  (step @p157 :rule refl :args (@t341))
% 0.42/0.88  (step @p158 :rule refl :args (@t343))
% 0.42/0.88  (step @p159 :rule nary_cong :premises (@p158 @p157 @p156 @p155 @p154) :args (@t485))
% 0.42/0.88  (step @p160 :rule cong :premises (@p159) :args ((forall @t344 @t485)))
% 0.42/0.88  (step @p161 :rule refl :args (@t484))
% 0.42/0.88  (step @p162 :rule refl :args (@t331))
% 0.42/0.88  (step @p163 :rule refl :args (@t5))
% 0.42/0.88  (step @p164 :rule cong :premises (@p152 @p163 @p152) :args (@t486))
% 0.42/0.88  (step @p165 :rule cong :premises (@p163 @p152) :args (@t487))
% 0.42/0.88  (step @p166 :rule cong :premises (@p165) :args (@t488))
% 0.42/0.88  (step @p167 :rule cong :premises (@p166) :args (@t489))
% 0.42/0.88  (step @p168 :rule nary_cong :premises (@p167 @p164) :args (@t490))
% 0.42/0.88  (step @p169 :rule cong :premises (@p168) :args (@t491))
% 0.42/0.88  (step @p170 :rule cong :premises (@p169) :args (@t492))
% 0.42/0.88  (step @p171 :rule refl :args (@t341))
% 0.42/0.88  (step @p172 :rule refl :args (@t343))
% 0.42/0.88  (step @p173 :rule nary_cong :premises (@p172 @p171 @p170 @p162 @p161) :args (@t493))
% 0.42/0.88  (step @p174 :rule cong :premises (@p173) :args (@t494))
% 0.42/0.88  (step @p175 :rule trans :premises (@p174 @p160))
% 0.42/0.88  (step @p176 :rule refl :args (@t2))
% 0.42/0.88  (step @p177 :rule cong :premises (@p165 @p176) :args (@t495))
% 0.42/0.88  (step @p178 :rule cong :premises (@p177 @p152) :args (@t496))
% 0.42/0.88  (step @p179 :rule cong :premises (@p178) :args (@t497))
% 0.42/0.88  (step @p180 :rule cong :premises (@p179) :args (@t498))
% 0.42/0.88  (step @p181 :rule cong :premises (@p180) :args (@t499))
% 0.42/0.88  (step @p182 :rule cong :premises (@p181 @p175) :args (@t500))
% 0.42/0.88  (step @p183 :rule refl :args (@t347))
% 0.42/0.88  (step @p184 :rule cong :premises (@p183 @p152) :args (@t501))
% 0.42/0.88  (step @p185 :rule cong :premises (@p184) :args (@t502))
% 0.42/0.88  (step @p186 :rule cong :premises (@p185) :args (@t503))
% 0.42/0.88  (step @p187 :rule refl :args (@t354))
% 0.42/0.88  (step @p188 :rule nary_cong :premises (@p187 @p186) :args (@t504))
% 0.42/0.88  (step @p189 :rule cong :premises (@p188) :args (@t505))
% 0.42/0.88  (step @p190 :rule cong :premises (@p189 @p182) :args (@t506))
% 0.42/0.88  (step @p191 :rule refl :args (@t355))
% 0.42/0.88  (step @p192 :rule refl :args (@t356))
% 0.42/0.88  (step @p193 :rule cong :premises (@p192 @p152) :args (@t507))
% 0.42/0.88  (step @p194 :rule cong :premises (@p193 @p191) :args (@t508))
% 0.42/0.88  (step @p195 :rule cong :premises (@p183 @p194) :args (@t509))
% 0.42/0.88  (step @p196 :rule cong :premises (@p195) :args (@t510))
% 0.42/0.88  (step @p197 :rule nary_cong :premises (@p187 @p196) :args (@t511))
% 0.42/0.88  (step @p198 :rule cong :premises (@p197) :args (@t512))
% 0.42/0.88  (step @p199 :rule cong :premises (@p198 @p190) :args (@t513))
% 0.42/0.88  (step @p200 :rule refl :args (@t366))
% 0.42/0.88  (step @p201 :rule cong :premises (@p200 @p199) :args (@t514))
% 0.42/0.88  (step @p202 :rule refl :args (@t105))
% 0.42/0.88  (step @p203 :rule refl :args (@t99))
% 0.42/0.88  (step @p204 :rule cong :premises (@p165 @p203) :args (@t515))
% 0.42/0.88  (step @p205 :rule refl :args (@t96))
% 0.42/0.88  (step @p206 :rule cong :premises (@p176 @p152) :args (@t516))
% 0.42/0.88  (step @p207 :rule cong :premises (@p206 @p205) :args (@t517))
% 0.42/0.88  (step @p208 :rule cong :premises (@p207 @p204) :args (@t518))
% 0.42/0.88  (step @p209 :rule cong :premises (@p208) :args (@t519))
% 0.42/0.88  (step @p210 :rule nary_cong :premises (@p209 @p202) :args (@t520))
% 0.42/0.88  (step @p211 :rule cong :premises (@p210) :args ((forall @t102 @t520)))
% 0.42/0.88  (step @p212 :rule refl :args (@t105))
% 0.42/0.88  (step @p213 :rule eq-symm :args (@t515 @t517))
% 0.42/0.88  (step @p214 :rule cong :premises (@p213) :args (@t521))
% 0.42/0.88  (step @p215 :rule nary_cong :premises (@p214 @p212) :args (@t522))
% 0.42/0.88  (step @p216 :rule cong :premises (@p215) :args (@t523))
% 0.42/0.88  (step @p217 :rule trans :premises (@p216 @p211))
% 0.42/0.88  (step @p218 :rule cong :premises (@p217 @p201) :args (@t524))
% 0.42/0.88  (step @p219 :rule refl :args (@t95))
% 0.42/0.88  (step @p220 :rule nary_cong :premises (@p209 @p219) :args (@t525))
% 0.42/0.88  (step @p221 :rule cong :premises (@p220) :args ((forall @t102 @t525)))
% 0.42/0.88  (step @p222 :rule refl :args (@t95))
% 0.42/0.88  (step @p223 :rule nary_cong :premises (@p214 @p222) :args (@t526))
% 0.42/0.88  (step @p224 :rule cong :premises (@p223) :args (@t527))
% 0.42/0.88  (step @p225 :rule trans :premises (@p224 @p221))
% 0.42/0.88  (step @p226 :rule cong :premises (@p225 @p218) :args (@t528))
% 0.42/0.88  (step @p227 :rule cong :premises (@p163 @p165) :args (@t529))
% 0.42/0.88  (step @p228 :rule cong :premises (@p227) :args (@t530))
% 0.42/0.88  (step @p229 :rule nary_cong :premises (@p136 @p228) :args (@t531))
% 0.42/0.88  (step @p230 :rule cong :premises (@p229 @p226) :args (@t532))
% 0.42/0.88  (step @p231 :rule refl :args (@t1))
% 0.42/0.88  (step @p232 :rule cong :premises (@p231 @p152) :args (@t533))
% 0.42/0.88  (step @p233 :rule cong :premises (@p231 @p232) :args (@t534))
% 0.42/0.88  (step @p234 :rule cong :premises (@p233) :args (@t535))
% 0.42/0.88  (step @p235 :rule cong :premises (@p152 @p231) :args (@t536))
% 0.42/0.88  (step @p236 :rule cong :premises (@p231 @p235) :args (@t537))
% 0.42/0.88  (step @p237 :rule cong :premises (@p236) :args (@t538))
% 0.42/0.88  (step @p238 :rule nary_cong :premises (@p130 @p237 @p234) :args (@t539))
% 0.42/0.88  (step @p239 :rule cong :premises (@p238 @p230) :args (@t540))
% 0.42/0.88  (step @p240 :rule refl :args (@t380))
% 0.42/0.88  (step @p241 :rule refl :args (@t382))
% 0.42/0.88  (step @p242 :rule cong :premises (@p176 @p152) :args (@t541))
% 0.42/0.88  (step @p243 :rule cong :premises (@p163 @p242) :args (@t542))
% 0.42/0.88  (step @p244 :rule cong :premises (@p243) :args (@t543))
% 0.42/0.88  (step @p245 :rule refl :args (@t384))
% 0.42/0.88  (step @p246 :rule nary_cong :premises (@p245 @p244) :args (@t544))
% 0.42/0.88  (step @p247 :rule cong :premises (@p246) :args (@t545))
% 0.42/0.88  (step @p248 :rule cong :premises (@p247) :args (@t546))
% 0.42/0.88  (step @p249 :rule nary_cong :premises (@p248 @p241) :args (@t547))
% 0.42/0.88  (step @p250 :rule cong :premises (@p249) :args (@t548))
% 0.42/0.88  (step @p251 :rule cong :premises (@p250) :args (@t549))
% 0.42/0.88  (step @p252 :rule refl :args (@t391))
% 0.42/0.88  (step @p253 :rule refl :args (@t395))
% 0.42/0.88  (step @p254 :rule nary_cong :premises (@p253 @p252 @p251 @p240) :args (@t550))
% 0.42/0.88  (step @p255 :rule cong :premises (@p254) :args (@t551))
% 0.42/0.88  (step @p256 :rule cong :premises (@p255 @p239) :args (@t552))
% 0.42/0.88  (step @p257 :rule refl :args (@t399))
% 0.42/0.88  (step @p258 :rule refl :args (@t402))
% 0.42/0.88  (step @p259 :rule nary_cong :premises (@p252 @p251 @p258 @p257) :args (@t553))
% 0.42/0.88  (step @p260 :rule cong :premises (@p259) :args (@t554))
% 0.42/0.88  (step @p261 :rule cong :premises (@p260 @p256) :args (@t555))
% 0.42/0.88  (step @p262 :rule refl :args (@t414))
% 0.42/0.88  (step @p263 :rule cong :premises (@p262 @p261) :args (@t556))
% 0.42/0.88  (step @p264 :rule refl :args (@t420))
% 0.42/0.88  (step @p265 :rule cong :premises (@p264 @p263) :args (@t557))
% 0.42/0.88  (step @p266 :rule refl :args (@t422))
% 0.42/0.88  (step @p267 :rule cong :premises (@p266 @p265) :args (@t558))
% 0.42/0.88  (step @p268 :rule refl :args (@t424))
% 0.42/0.88  (step @p269 :rule cong :premises (@p268 @p267) :args (@t559))
% 0.42/0.88  (step @p270 :rule refl :args (@t426))
% 0.42/0.88  (step @p271 :rule cong :premises (@p270 @p269) :args (@t560))
% 0.42/0.88  (step @p272 :rule refl :args (@t429))
% 0.42/0.88  (step @p273 :rule cong :premises (@p272 @p271) :args (@t561))
% 0.42/0.88  (step @p274 :rule refl :args (@t431))
% 0.42/0.88  (step @p275 :rule cong :premises (@p274 @p273) :args (@t562))
% 0.42/0.88  (step @p276 :rule refl :args (@t435))
% 0.42/0.88  (step @p277 :rule cong :premises (@p276 @p275) :args (@t563))
% 0.42/0.88  (step @p278 :rule refl :args (@t436))
% 0.42/0.88  (step @p279 :rule cong :premises (@p278 @p277) :args (@t564))
% 0.42/0.88  (step @p280 :rule refl :args (@t447))
% 0.42/0.88  (step @p281 :rule cong :premises (@p280 @p279) :args (@t565))
% 0.42/0.88  (step @p282 :rule refl :args (@t449))
% 0.42/0.88  (step @p283 :rule cong :premises (@p282 @p281) :args (@t566))
% 0.42/0.88  (step @p284 :rule refl :args (@t77))
% 0.42/0.88  (step @p285 :rule cong :premises (@p284 @p283) :args (@t567))
% 0.42/0.88  (step @p286 :rule cong :premises (@p124 @p285) :args (@t568))
% 0.42/0.88  (step @p287 :rule eq-refl :args (@t70))
% 0.42/0.88  (step @p288 :rule cong :premises (@p287 @p286) :args (@t569))
% 0.42/0.88  (step @p289 :rule trans :premises (@p288 @p147))
% 0.42/0.88  (step @p290 :rule cong :premises (@p234 @p289) :args (@t570))
% 0.42/0.88  (step @p291 :rule cong :premises (@p128 @p290) :args (@t571))
% 0.42/0.88  (step @p292 :rule cong :premises (@p130 @p291) :args (@t572))
% 0.42/0.88  (step @p293 :rule cong :premises (@p132 @p292) :args (@t573))
% 0.42/0.88  (step @p294 :rule cong :premises (@p237 @p293) :args (@t574))
% 0.42/0.88  (step @p295 :rule cong :premises (@p136 @p294) :args (@t575))
% 0.42/0.88  (step @p296 :rule cong :premises (@p138 @p295) :args (@t576))
% 0.42/0.88  (step @p297 :rule cong :premises (@p228 @p296) :args (@t577))
% 0.42/0.88  (step @p298 :rule cong :premises (@p142 @p297) :args (@t578))
% 0.42/0.88  (step @p299 :rule cong :premises (@p144 @p298) :args (@t579))
% 0.42/0.88  (step @p300 :rule cong :premises (@p299) :args ((not @t579)))
% 0.42/0.88  (step @p301 :rule eq-symm :args (@t70 tptp.id))
% 0.42/0.88  (step @p302 :rule refl :args (tptp.axvarshift))
% 0.42/0.88  (step @p303 :rule cong :premises (@p302 @p301) :args (@t71))
% 0.42/0.88  (step @p304 :rule eq_resolve :premises (@p11 @p303))
% 0.42/0.88  (step @p305 :rule equiv_elim2 :premises (@p86))
% 0.42/0.88  (step @p306 :rule resolution :premises (@p305 @p109) :args (true tptp.hoasinduction_lem1_gthm))
% 0.42/0.88  (step @p307 :rule not_implies_elim2 :premises (@p306))
% 0.42/0.88  (step @p308 :rule not_implies_elim2 :premises (@p307))
% 0.42/0.88  (step @p309 :rule not_implies_elim2 :premises (@p308))
% 0.42/0.88  (step @p310 :rule not_implies_elim2 :premises (@p309))
% 0.42/0.88  (step @p311 :rule not_implies_elim2 :premises (@p310))
% 0.42/0.88  (step @p312 :rule not_implies_elim2 :premises (@p311))
% 0.42/0.88  (step @p313 :rule not_implies_elim2 :premises (@p312))
% 0.42/0.88  (step @p314 :rule not_implies_elim2 :premises (@p313))
% 0.42/0.88  (step @p315 :rule not_implies_elim2 :premises (@p314))
% 0.42/0.88  (step @p316 :rule not_implies_elim2 :premises (@p315))
% 0.42/0.88  (step @p317 :rule not_implies_elim1 :premises (@p316))
% 0.42/0.88  (step @p318 :rule eq_resolve :premises (@p317 @p304))
% 0.42/0.88  (step @p319 :rule refl :args (@t330))
% 0.42/0.88  (step @p320 :rule cong :premises (@p318 @p319 @p318) :args (@t580))
% 0.42/0.88  (step @p321 :rule refl :args (@t5))
% 0.42/0.88  (step @p322 :rule cong :premises (@p318 @p321 @p318) :args (@t581))
% 0.42/0.88  (step @p323 :rule cong :premises (@p321 @p318) :args (@t582))
% 0.42/0.88  (step @p324 :rule cong :premises (@p323) :args (@t583))
% 0.42/0.88  (step @p325 :rule cong :premises (@p324) :args (@t584))
% 0.42/0.88  (step @p326 :rule nary_cong :premises (@p325 @p322) :args (@t585))
% 0.42/0.88  (step @p327 :rule cong :premises (@p326) :args (@t586))
% 0.42/0.88  (step @p328 :rule cong :premises (@p327) :args (@t587))
% 0.42/0.88  (step @p329 :rule nary_cong :premises (@p172 @p171 @p328 @p162 @p320) :args (@t588))
% 0.42/0.88  (step @p330 :rule cong :premises (@p329) :args (@t589))
% 0.42/0.88  (step @p331 :rule refl :args (@t2))
% 0.42/0.88  (step @p332 :rule cong :premises (@p323 @p331) :args (@t590))
% 0.42/0.88  (step @p333 :rule cong :premises (@p332 @p318) :args (@t591))
% 0.42/0.88  (step @p334 :rule cong :premises (@p333) :args (@t592))
% 0.42/0.88  (step @p335 :rule cong :premises (@p334) :args (@t593))
% 0.42/0.88  (step @p336 :rule cong :premises (@p335) :args (@t594))
% 0.42/0.88  (step @p337 :rule cong :premises (@p336 @p330) :args (@t595))
% 0.42/0.88  (step @p338 :rule refl :args (@t347))
% 0.42/0.88  (step @p339 :rule cong :premises (@p338 @p318) :args (@t596))
% 0.42/0.88  (step @p340 :rule cong :premises (@p339) :args (@t597))
% 0.42/0.88  (step @p341 :rule cong :premises (@p340) :args (@t598))
% 0.42/0.88  (step @p342 :rule refl :args (@t354))
% 0.42/0.88  (step @p343 :rule nary_cong :premises (@p342 @p341) :args (@t599))
% 0.42/0.88  (step @p344 :rule cong :premises (@p343) :args (@t600))
% 0.42/0.88  (step @p345 :rule cong :premises (@p344 @p337) :args (@t601))
% 0.42/0.88  (step @p346 :rule refl :args (@t355))
% 0.42/0.88  (step @p347 :rule refl :args (@t356))
% 0.42/0.88  (step @p348 :rule cong :premises (@p347 @p318) :args (@t602))
% 0.42/0.88  (step @p349 :rule cong :premises (@p348 @p346) :args (@t603))
% 0.42/0.88  (step @p350 :rule cong :premises (@p338 @p349) :args (@t604))
% 0.42/0.88  (step @p351 :rule cong :premises (@p350) :args (@t605))
% 0.42/0.88  (step @p352 :rule nary_cong :premises (@p342 @p351) :args (@t606))
% 0.42/0.88  (step @p353 :rule cong :premises (@p352) :args (@t607))
% 0.42/0.88  (step @p354 :rule cong :premises (@p353 @p345) :args (@t608))
% 0.42/0.88  (step @p355 :rule cong :premises (@p200 @p354) :args (@t609))
% 0.42/0.88  (step @p356 :rule refl :args (@t96))
% 0.42/0.88  (step @p357 :rule cong :premises (@p331 @p318) :args (@t610))
% 0.42/0.88  (step @p358 :rule cong :premises (@p357 @p356) :args (@t611))
% 0.42/0.88  (step @p359 :rule refl :args (@t99))
% 0.42/0.88  (step @p360 :rule cong :premises (@p323 @p359) :args (@t612))
% 0.42/0.88  (step @p361 :rule cong :premises (@p360 @p358) :args (@t613))
% 0.42/0.88  (step @p362 :rule cong :premises (@p361) :args (@t614))
% 0.42/0.88  (step @p363 :rule nary_cong :premises (@p362 @p212) :args (@t615))
% 0.42/0.88  (step @p364 :rule cong :premises (@p363) :args (@t616))
% 0.42/0.88  (step @p365 :rule cong :premises (@p364 @p355) :args (@t617))
% 0.42/0.88  (step @p366 :rule nary_cong :premises (@p362 @p222) :args (@t618))
% 0.42/0.88  (step @p367 :rule cong :premises (@p366) :args (@t619))
% 0.42/0.88  (step @p368 :rule cong :premises (@p367 @p365) :args (@t620))
% 0.42/0.88  (step @p369 :rule cong :premises (@p321 @p323) :args (@t621))
% 0.42/0.88  (step @p370 :rule cong :premises (@p369) :args (@t622))
% 0.42/0.88  (step @p371 :rule nary_cong :premises (@p136 @p370) :args (@t623))
% 0.42/0.88  (step @p372 :rule cong :premises (@p371 @p368) :args (@t624))
% 0.42/0.88  (step @p373 :rule refl :args (@t1))
% 0.42/0.88  (step @p374 :rule cong :premises (@p373 @p318) :args (@t625))
% 0.42/0.88  (step @p375 :rule cong :premises (@p373 @p374) :args (@t626))
% 0.42/0.88  (step @p376 :rule cong :premises (@p375) :args (@t627))
% 0.42/0.88  (step @p377 :rule cong :premises (@p318 @p373) :args (@t628))
% 0.42/0.88  (step @p378 :rule cong :premises (@p373 @p377) :args (@t629))
% 0.42/0.88  (step @p379 :rule cong :premises (@p378) :args (@t630))
% 0.42/0.88  (step @p380 :rule nary_cong :premises (@p130 @p379 @p376) :args (@t631))
% 0.42/0.88  (step @p381 :rule cong :premises (@p380 @p372) :args (@t632))
% 0.42/0.88  (step @p382 :rule cong :premises (@p331 @p318) :args (@t633))
% 0.42/0.88  (step @p383 :rule cong :premises (@p321 @p382) :args (@t634))
% 0.42/0.88  (step @p384 :rule cong :premises (@p383) :args (@t635))
% 0.42/0.88  (step @p385 :rule refl :args (@t384))
% 0.42/0.88  (step @p386 :rule nary_cong :premises (@p385 @p384) :args (@t636))
% 0.42/0.88  (step @p387 :rule cong :premises (@p386) :args (@t637))
% 0.42/0.88  (step @p388 :rule cong :premises (@p387) :args (@t638))
% 0.42/0.88  (step @p389 :rule nary_cong :premises (@p388 @p241) :args (@t639))
% 0.42/0.88  (step @p390 :rule cong :premises (@p389) :args (@t640))
% 0.42/0.88  (step @p391 :rule cong :premises (@p390) :args (@t641))
% 0.42/0.88  (step @p392 :rule nary_cong :premises (@p253 @p252 @p391 @p240) :args (@t642))
% 0.42/0.88  (step @p393 :rule cong :premises (@p392) :args (@t643))
% 0.42/0.88  (step @p394 :rule cong :premises (@p393 @p381) :args (@t644))
% 0.42/0.88  (step @p395 :rule nary_cong :premises (@p252 @p391 @p258 @p257) :args (@t645))
% 0.42/0.88  (step @p396 :rule cong :premises (@p395) :args (@t646))
% 0.42/0.88  (step @p397 :rule cong :premises (@p396 @p394) :args (@t647))
% 0.42/0.88  (step @p398 :rule cong :premises (@p262 @p397) :args (@t648))
% 0.42/0.88  (step @p399 :rule cong :premises (@p264 @p398) :args (@t649))
% 0.42/0.88  (step @p400 :rule cong :premises (@p266 @p399) :args (@t650))
% 0.42/0.88  (step @p401 :rule cong :premises (@p268 @p400) :args (@t651))
% 0.42/0.88  (step @p402 :rule cong :premises (@p270 @p401) :args (@t652))
% 0.42/0.88  (step @p403 :rule cong :premises (@p272 @p402) :args (@t653))
% 0.42/0.88  (step @p404 :rule cong :premises (@p274 @p403) :args (@t654))
% 0.42/0.88  (step @p405 :rule cong :premises (@p276 @p404) :args (@t655))
% 0.42/0.88  (step @p406 :rule cong :premises (@p278 @p405) :args (@t656))
% 0.42/0.88  (step @p407 :rule cong :premises (@p280 @p406) :args (@t657))
% 0.42/0.88  (step @p408 :rule cong :premises (@p282 @p407) :args (@t658))
% 0.42/0.88  (step @p409 :rule cong :premises (@p284 @p408) :args (@t659))
% 0.42/0.88  (step @p410 :rule cong :premises (@p124 @p409) :args (@t660))
% 0.42/0.88  (step @p411 :rule refl :args (@t70))
% 0.42/0.88  (step @p412 :rule cong :premises (@p318 @p411) :args (@t661))
% 0.42/0.88  (step @p413 :rule cong :premises (@p412 @p410) :args (@t662))
% 0.42/0.88  (step @p414 :rule cong :premises (@p376 @p413) :args (@t663))
% 0.42/0.88  (step @p415 :rule cong :premises (@p128 @p414) :args (@t664))
% 0.42/0.88  (step @p416 :rule cong :premises (@p130 @p415) :args (@t665))
% 0.42/0.88  (step @p417 :rule cong :premises (@p132 @p416) :args (@t666))
% 0.42/0.88  (step @p418 :rule cong :premises (@p379 @p417) :args (@t667))
% 0.42/0.88  (step @p419 :rule cong :premises (@p136 @p418) :args (@t668))
% 0.42/0.88  (step @p420 :rule cong :premises (@p138 @p419) :args (@t669))
% 0.42/0.88  (step @p421 :rule cong :premises (@p370 @p420) :args (@t670))
% 0.42/0.88  (step @p422 :rule cong :premises (@p142 @p421) :args (@t671))
% 0.42/0.88  (step @p423 :rule cong :premises (@p144 @p422) :args ((=> @t482 @t671)))
% 0.42/0.88  (step @p424 :rule aci_norm :args ((= @t673 @t588)))
% 0.42/0.88  (step @p425 :rule cong :premises (@p424) :args (@t674))
% 0.42/0.88  (step @p426 :rule quant-merge-prenex :args ((= (forall @t246 @t676) @t674)))
% 0.42/0.88  (step @p427 :rule alpha_equiv :args (@t677 (@list @t330) @t678))
% 0.42/0.88  (step @p428 :rule refl :args (@t587))
% 0.42/0.88  (step @p429 :rule nary_cong :premises (@p158 @p157 @p428 @p427) :args (@t679))
% 0.42/0.88  (step @p430 :rule quant-miniscope-or :args ((= @t676 @t679)))
% 0.42/0.88  (step @p431 :rule trans :premises (@p430 @p429))
% 0.42/0.88  (step @p432 :rule symm :premises (@p431))
% 0.42/0.88  (step @p433 :rule cong :premises (@p432) :args ((forall @t246 @t681)))
% 0.42/0.88  (step @p434 :rule trans :premises (@p433 @p426))
% 0.42/0.88  (step @p435 :rule trans :premises (@p434 @p425))
% 0.42/0.88  (step @p436 :rule aci_norm :args ((= (or @t343 @t682) @t681)))
% 0.42/0.88  (step @p437 :rule aci_norm :args ((= (or @t341 (or @t587 @t680)) @t682)))
% 0.42/0.88  (step @p438 :rule bool-impl-elim :args (@t586 @t680))
% 0.42/0.88  (step @p439 :rule nary_cong :premises (@p157 @p438) :args ((or @t341 @t683)))
% 0.42/0.88  (step @p440 :rule trans :premises (@p439 @p437))
% 0.42/0.88  (step @p441 :rule bool-impl-elim :args (@t340 @t683))
% 0.42/0.88  (step @p442 :rule trans :premises (@p441 @p440))
% 0.42/0.88  (step @p443 :rule nary_cong :premises (@p158 @p442) :args ((or @t343 @t684)))
% 0.42/0.88  (step @p444 :rule trans :premises (@p443 @p436))
% 0.42/0.88  (step @p445 :rule bool-impl-elim :args (@t342 @t684))
% 0.42/0.88  (step @p446 :rule trans :premises (@p445 @p444))
% 0.42/0.88  (step @p447 :rule cong :premises (@p446) :args ((forall @t246 (=> @t342 @t684))))
% 0.42/0.88  (step @p448 :rule trans :premises (@p447 @p435))
% 0.42/0.88  (step @p449 :rule refl :args (@t581))
% 0.42/0.88  (step @p450 :rule refl :args (@t249))
% 0.42/0.88  (step @p451 :rule cong :premises (@p450 @p449) :args ((= @t249 @t581)))
% 0.42/0.88  (step @p452 :rule symm :premises (@p451))
% 0.42/0.88  (step @p453 :rule eq_resolve :premises (@p450 @p452))
% 0.42/0.88  (step @p454 :rule refl :args (@t392))
% 0.42/0.88  (step @p455 :rule refl :args (@t80))
% 0.42/0.88  (step @p456 :rule cong :premises (@p455 @p454) :args ((= @t80 @t392)))
% 0.42/0.88  (step @p457 :rule symm :premises (@p456))
% 0.42/0.88  (step @p458 :rule eq_resolve :premises (@p455 @p457))
% 0.42/0.88  (step @p459 :rule cong :premises (@p458) :args (@t685))
% 0.42/0.88  (step @p460 :rule nary_cong :premises (@p459 @p453) :args (@t686))
% 0.42/0.88  (step @p461 :rule cong :premises (@p460) :args ((forall @t23 @t686)))
% 0.42/0.88  (step @p462 :rule bool-impl-elim :args (@t80 @t249))
% 0.42/0.88  (step @p463 :rule cong :premises (@p462) :args (@t267))
% 0.42/0.88  (step @p464 :rule trans :premises (@p463 @p461))
% 0.42/0.88  (step @p465 :rule refl :args ((tptp.var @t22)))
% 0.42/0.88  (step @p466 :rule refl :args (@t582))
% 0.42/0.88  (step @p467 :rule cong :premises (@p466) :args (@t583))
% 0.42/0.88  (step @p468 :rule trans :premises (@p467 @p465))
% 0.42/0.88  (step @p469 :rule refl :args (tptp.var))
% 0.42/0.88  (step @p470 :rule ho_cong :premises (@p469 @p466))
% 0.42/0.88  (step @p471 :rule cong :premises (@p470 @p468) :args ((= (_ tptp.var @t582) @t583)))
% 0.42/0.88  (step @p472 :rule symm :premises (@p471))
% 0.42/0.88  (step @p473 :rule refl :args (@t687))
% 0.42/0.88  (step @p474 :rule eq_resolve :premises (@p473 @p472))
% 0.42/0.88  (step @p475 :rule refl :args (@t22))
% 0.42/0.88  (step @p476 :rule cong :premises (@p475 @p466) :args ((= @t22 @t582)))
% 0.42/0.88  (step @p477 :rule symm :premises (@p476))
% 0.42/0.88  (step @p478 :rule eq_resolve :premises (@p475 @p477))
% 0.42/0.88  (step @p479 :rule ho_cong :premises (@p469 @p478))
% 0.42/0.88  (step @p480 :rule trans :premises (@p479 @p474))
% 0.42/0.88  (step @p481 :rule cong :premises (@p480) :args (@t688))
% 0.42/0.88  (step @p482 :rule nary_cong :premises (@p481 @p453) :args (@t689))
% 0.42/0.88  (step @p483 :rule cong :premises (@p482) :args ((forall @t23 @t689)))
% 0.42/0.88  (step @p484 :rule bool-impl-elim :args (@t687 @t249))
% 0.42/0.88  (step @p485 :rule cong :premises (@p484) :args ((forall @t23 (=> @t687 @t249))))
% 0.42/0.88  (step @p486 :rule trans :premises (@p485 @p483))
% 0.42/0.88  (step @p487 :rule refl :args (@t249))
% 0.42/0.88  (step @p488 :rule beta-reduce :args ((= (_ @t691 tptp.id) @t687)))
% 0.42/0.88  (step @p489 :rule refl :args (tptp.id))
% 0.42/0.88  (step @p490 :rule beta-reduce :args ((= (_ @t692 @t5) @t691)))
% 0.42/0.88  (step @p491 :rule beta-reduce :args ((= @t693 @t692)))
% 0.42/0.88  (step @p492 :rule ho_cong :premises (@p491 @p321))
% 0.42/0.88  (step @p493 :rule trans :premises (@p492 @p490))
% 0.42/0.88  (step @p494 :rule ho_cong :premises (@p493 @p489))
% 0.42/0.88  (step @p495 :rule trans :premises (@p494 @p488))
% 0.42/0.88  (step @p496 :rule cong :premises (@p495 @p487) :args (@t694))
% 0.42/0.88  (step @p497 :rule cong :premises (@p496) :args (@t695))
% 0.42/0.88  (step @p498 :rule trans :premises (@p497 @p486))
% 0.42/0.88  (step @p499 :rule cong :premises (@p498 @p464) :args (@t696))
% 0.42/0.88  (step @p500 :rule refl :args ((_ @t244 @t1 @t5 @t252)))
% 0.42/0.88  (step @p501 :rule refl :args (@t335))
% 0.42/0.88  (step @p502 :rule cong :premises (@p231 @p163 @p501) :args (@t336))
% 0.42/0.88  (step @p503 :rule trans :premises (@p502 @p500))
% 0.42/0.88  (step @p504 :rule refl :args (@t253))
% 0.42/0.88  (step @p505 :rule ho_cong :premises (@p504 @p501))
% 0.42/0.88  (step @p506 :rule cong :premises (@p505 @p503) :args ((= (_ @t253 @t335) @t336)))
% 0.42/0.88  (step @p507 :rule symm :premises (@p506))
% 0.42/0.88  (step @p508 :rule refl :args (@t254))
% 0.42/0.88  (step @p509 :rule eq_resolve :premises (@p508 @p507))
% 0.42/0.88  (step @p510 :rule refl :args (@t252))
% 0.42/0.88  (step @p511 :rule cong :premises (@p510 @p501) :args ((= @t252 @t335)))
% 0.42/0.88  (step @p512 :rule symm :premises (@p511))
% 0.42/0.88  (step @p513 :rule eq_resolve :premises (@p510 @p512))
% 0.42/0.88  (step @p514 :rule ho_cong :premises (@p504 @p513))
% 0.42/0.88  (step @p515 :rule trans :premises (@p514 @p509))
% 0.42/0.88  (step @p516 :rule refl :args ((_ @t244 @t256 @t255 @t37)))
% 0.42/0.88  (step @p517 :rule refl :args (@t37))
% 0.42/0.88  (step @p518 :rule refl :args (@t337))
% 0.42/0.88  (step @p519 :rule refl :args (@t338))
% 0.42/0.88  (step @p520 :rule cong :premises (@p519 @p518 @p517) :args (@t339))
% 0.42/0.88  (step @p521 :rule trans :premises (@p520 @p516))
% 0.42/0.88  (step @p522 :rule refl :args (@t244))
% 0.42/0.88  (step @p523 :rule ho_cong :premises (@p522 @p519))
% 0.42/0.88  (step @p524 :rule ho_cong :premises (@p523 @p518))
% 0.42/0.88  (step @p525 :rule ho_cong :premises (@p524 @p517))
% 0.42/0.88  (step @p526 :rule cong :premises (@p525 @p521) :args ((= (_ (_ (_ @t244 @t338) @t337) @t37) @t339)))
% 0.42/0.88  (step @p527 :rule symm :premises (@p526))
% 0.42/0.88  (step @p528 :rule refl :args (@t257))
% 0.42/0.88  (step @p529 :rule eq_resolve :premises (@p528 @p527))
% 0.42/0.88  (step @p530 :rule refl :args (@t255))
% 0.42/0.88  (step @p531 :rule cong :premises (@p530 @p518) :args ((= @t255 @t337)))
% 0.42/0.88  (step @p532 :rule symm :premises (@p531))
% 0.42/0.88  (step @p533 :rule eq_resolve :premises (@p530 @p532))
% 0.42/0.88  (step @p534 :rule refl :args (@t256))
% 0.42/0.88  (step @p535 :rule cong :premises (@p534 @p519) :args ((= @t256 @t338)))
% 0.42/0.88  (step @p536 :rule symm :premises (@p535))
% 0.42/0.88  (step @p537 :rule eq_resolve :premises (@p534 @p536))
% 0.42/0.88  (step @p538 :rule ho_cong :premises (@p522 @p537))
% 0.42/0.88  (step @p539 :rule ho_cong :premises (@p538 @p533))
% 0.42/0.88  (step @p540 :rule ho_cong :premises (@p539 @p517))
% 0.42/0.88  (step @p541 :rule trans :premises (@p540 @p529))
% 0.42/0.88  (step @p542 :rule cong :premises (@p541) :args (@t697))
% 0.42/0.88  (step @p543 :rule nary_cong :premises (@p542 @p515) :args (@t698))
% 0.42/0.88  (step @p544 :rule cong :premises (@p543) :args ((forall @t258 @t698)))
% 0.42/0.88  (step @p545 :rule bool-impl-elim :args (@t257 @t254))
% 0.42/0.88  (step @p546 :rule cong :premises (@p545) :args (@t259))
% 0.42/0.88  (step @p547 :rule trans :premises (@p546 @p544))
% 0.42/0.88  (step @p548 :rule cong :premises (@p547 @p499) :args (@t699))
% 0.42/0.88  (step @p549 :rule cong :premises (@p515) :args (@t700))
% 0.42/0.88  (step @p550 :rule nary_cong :premises (@p549 @p541) :args (@t701))
% 0.42/0.88  (step @p551 :rule cong :premises (@p550) :args ((forall @t258 @t701)))
% 0.42/0.88  (step @p552 :rule bool-impl-elim :args (@t254 @t257))
% 0.42/0.88  (step @p553 :rule cong :premises (@p552) :args (@t260))
% 0.42/0.88  (step @p554 :rule trans :premises (@p553 @p551))
% 0.42/0.88  (step @p555 :rule cong :premises (@p554 @p548) :args (@t702))
% 0.42/0.88  (step @p556 :rule cong :premises (@p555) :args (@t703))
% 0.42/0.88  (step @p557 :rule trans :premises (@p556 @p448))
% 0.42/0.88  (step @p558 :rule refl :args (tptp.hoasinduction_lem1))
% 0.42/0.88  (step @p559 :rule cong :premises (@p558 @p557) :args ((= tptp.hoasinduction_lem1 @t703)))
% 0.42/0.88  (step @p560 :rule refl :args (@t267))
% 0.42/0.88  (step @p561 :rule ho_cong :premises (@p114 @p489))
% 0.42/0.88  (step @p562 :rule ho_cong :premises (@p561 @p321))
% 0.42/0.88  (step @p563 :rule ho_cong :premises (@p562 @p489))
% 0.42/0.88  (step @p564 :rule cong :premises (@p563 @p487) :args (@t250))
% 0.42/0.88  (step @p565 :rule cong :premises (@p564) :args (@t251))
% 0.42/0.88  (step @p566 :rule cong :premises (@p565 @p560) :args (@t268))
% 0.42/0.88  (step @p567 :rule refl :args (@t259))
% 0.42/0.88  (step @p568 :rule cong :premises (@p567 @p566) :args (@t269))
% 0.42/0.88  (step @p569 :rule refl :args (@t260))
% 0.42/0.88  (step @p570 :rule cong :premises (@p569 @p568) :args (@t270))
% 0.42/0.88  (step @p571 :rule cong :premises (@p570) :args (@t271))
% 0.42/0.88  (step @p572 :rule cong :premises (@p558 @p571) :args (@t272))
% 0.42/0.88  (step @p573 :rule trans :premises (@p572 @p559))
% 0.42/0.88  (step @p574 :rule eq_resolve :premises (@p85 @p573))
% 0.42/0.88  (step @p575 :rule refl :args ((tptp.var @t707)))
% 0.42/0.88  (step @p576 :rule refl :args ((tptp.sub @t705 tptp.id)))
% 0.42/0.88  (step @p577 :rule refl :args (tptp.id))
% 0.42/0.88  (step @p578 :rule refl :args ((tptp.ap @t22 @t2)))
% 0.42/0.88  (step @p579 :rule cong :premises (@p466 @p176) :args (@t590))
% 0.42/0.88  (step @p580 :rule trans :premises (@p579 @p578))
% 0.42/0.88  (step @p581 :rule cong :premises (@p580 @p577) :args (@t591))
% 0.42/0.88  (step @p582 :rule trans :premises (@p581 @p576))
% 0.42/0.88  (step @p583 :rule cong :premises (@p582) :args (@t592))
% 0.42/0.88  (step @p584 :rule trans :premises (@p583 @p575))
% 0.42/0.88  (step @p585 :rule ho_cong :premises (@p469 @p582))
% 0.42/0.88  (step @p586 :rule cong :premises (@p585 @p584) :args ((= (_ tptp.var @t591) @t592)))
% 0.42/0.88  (step @p587 :rule symm :premises (@p586))
% 0.42/0.88  (step @p588 :rule refl :args (@t708))
% 0.42/0.88  (step @p589 :rule eq_resolve :premises (@p588 @p587))
% 0.42/0.88  (step @p590 :rule refl :args (tptp.sub))
% 0.42/0.88  (step @p591 :rule ho_cong :premises (@p590 @p580))
% 0.42/0.88  (step @p592 :rule ho_cong :premises (@p591 @p577))
% 0.42/0.88  (step @p593 :rule cong :premises (@p592 @p582) :args ((= (_ (_ tptp.sub @t590) tptp.id) @t591)))
% 0.42/0.88  (step @p594 :rule symm :premises (@p593))
% 0.42/0.88  (step @p595 :rule refl :args (@t707))
% 0.42/0.88  (step @p596 :rule eq_resolve :premises (@p595 @p594))
% 0.42/0.88  (step @p597 :rule refl :args (tptp.ap))
% 0.42/0.88  (step @p598 :rule ho_cong :premises (@p597 @p466))
% 0.42/0.88  (step @p599 :rule ho_cong :premises (@p598 @p176))
% 0.42/0.88  (step @p600 :rule cong :premises (@p599 @p580) :args ((= (_ @t709 @t2) @t590)))
% 0.42/0.88  (step @p601 :rule symm :premises (@p600))
% 0.42/0.88  (step @p602 :rule refl :args (@t705))
% 0.42/0.88  (step @p603 :rule eq_resolve :premises (@p602 @p601))
% 0.42/0.88  (step @p604 :rule ho_cong :premises (@p597 @p478))
% 0.42/0.88  (step @p605 :rule ho_cong :premises (@p604 @p176))
% 0.42/0.88  (step @p606 :rule trans :premises (@p605 @p603))
% 0.42/0.88  (step @p607 :rule ho_cong :premises (@p590 @p606))
% 0.42/0.88  (step @p608 :rule ho_cong :premises (@p607 @p577))
% 0.42/0.88  (step @p609 :rule trans :premises (@p608 @p596))
% 0.42/0.88  (step @p610 :rule ho_cong :premises (@p469 @p609))
% 0.42/0.88  (step @p611 :rule trans :premises (@p610 @p589))
% 0.42/0.88  (step @p612 :rule cong :premises (@p611) :args (@t710))
% 0.42/0.88  (step @p613 :rule cong :premises (@p612) :args ((forall @t110 @t710)))
% 0.42/0.88  (step @p614 :rule beta-reduce :args ((= (_ @t711 tptp.id) @t708)))
% 0.42/0.88  (step @p615 :rule beta-reduce :args ((= (_ @t692 @t705) @t711)))
% 0.42/0.88  (step @p616 :rule beta-reduce :args ((= (_ @t712 @t2) @t705)))
% 0.42/0.88  (step @p617 :rule beta-reduce :args ((= (_ @t713 tptp.id) @t712)))
% 0.42/0.88  (step @p618 :rule beta-reduce :args ((= (_ @t714 @t5) @t713)))
% 0.42/0.88  (step @p619 :rule beta-reduce :args ((= @t715 @t714)))
% 0.42/0.88  (step @p620 :rule ho_cong :premises (@p619 @p321))
% 0.42/0.88  (step @p621 :rule trans :premises (@p620 @p618))
% 0.42/0.88  (step @p622 :rule ho_cong :premises (@p621 @p489))
% 0.42/0.88  (step @p623 :rule trans :premises (@p622 @p617))
% 0.42/0.88  (step @p624 :rule ho_cong :premises (@p623 @p331))
% 0.42/0.88  (step @p625 :rule trans :premises (@p624 @p616))
% 0.42/0.88  (step @p626 :rule ho_cong :premises (@p491 @p625))
% 0.42/0.88  (step @p627 :rule trans :premises (@p626 @p615))
% 0.42/0.88  (step @p628 :rule ho_cong :premises (@p627 @p489))
% 0.42/0.88  (step @p629 :rule trans :premises (@p628 @p614))
% 0.42/0.88  (step @p630 :rule cong :premises (@p629) :args (@t718))
% 0.42/0.88  (step @p631 :rule cong :premises (@p630) :args (@t719))
% 0.42/0.88  (step @p632 :rule trans :premises (@p631 @p613))
% 0.42/0.88  (step @p633 :rule refl :args (tptp.hoasapnotvar))
% 0.42/0.88  (step @p634 :rule cong :premises (@p633 @p632) :args ((= tptp.hoasapnotvar @t719)))
% 0.42/0.88  (step @p635 :rule ho_cong :premises (@p112 @p489))
% 0.42/0.88  (step @p636 :rule ho_cong :premises (@p635 @p321))
% 0.42/0.88  (step @p637 :rule ho_cong :premises (@p636 @p489))
% 0.42/0.88  (step @p638 :rule ho_cong :premises (@p637 @p331))
% 0.42/0.88  (step @p639 :rule ho_cong :premises (@p561 @p638))
% 0.42/0.88  (step @p640 :rule ho_cong :premises (@p639 @p489))
% 0.42/0.88  (step @p641 :rule cong :premises (@p640) :args (@t241))
% 0.42/0.88  (step @p642 :rule cong :premises (@p641) :args (@t242))
% 0.42/0.88  (step @p643 :rule cong :premises (@p633 @p642) :args (@t243))
% 0.42/0.88  (step @p644 :rule trans :premises (@p643 @p634))
% 0.42/0.88  (step @p645 :rule eq_resolve :premises (@p69 @p644))
% 0.42/0.88  (step @p646 :rule cong :premises (@p645 @p574) :args (@t273))
% 0.42/0.88  (step @p647 :rule refl :args ((tptp.var @t721)))
% 0.42/0.88  (step @p648 :rule refl :args ((tptp.sub @t324 tptp.id)))
% 0.42/0.88  (step @p649 :rule refl :args ((tptp.lam @t313)))
% 0.42/0.88  (step @p650 :rule refl :args (@t346))
% 0.42/0.88  (step @p651 :rule cong :premises (@p650) :args (@t347))
% 0.42/0.88  (step @p652 :rule trans :premises (@p651 @p649))
% 0.42/0.88  (step @p653 :rule cong :premises (@p652 @p577) :args (@t596))
% 0.42/0.88  (step @p654 :rule trans :premises (@p653 @p648))
% 0.42/0.88  (step @p655 :rule cong :premises (@p654) :args (@t597))
% 0.42/0.88  (step @p656 :rule trans :premises (@p655 @p647))
% 0.42/0.88  (step @p657 :rule ho_cong :premises (@p469 @p654))
% 0.42/0.88  (step @p658 :rule cong :premises (@p657 @p656) :args ((= (_ tptp.var @t596) @t597)))
% 0.42/0.88  (step @p659 :rule symm :premises (@p658))
% 0.42/0.88  (step @p660 :rule refl :args (@t722))
% 0.42/0.88  (step @p661 :rule eq_resolve :premises (@p660 @p659))
% 0.42/0.88  (step @p662 :rule ho_cong :premises (@p590 @p652))
% 0.42/0.88  (step @p663 :rule ho_cong :premises (@p662 @p577))
% 0.42/0.88  (step @p664 :rule cong :premises (@p663 @p654) :args ((= (_ (_ tptp.sub @t347) tptp.id) @t596)))
% 0.42/0.88  (step @p665 :rule symm :premises (@p664))
% 0.42/0.88  (step @p666 :rule refl :args (@t721))
% 0.42/0.88  (step @p667 :rule eq_resolve :premises (@p666 @p665))
% 0.42/0.88  (step @p668 :rule refl :args (tptp.lam))
% 0.42/0.88  (step @p669 :rule ho_cong :premises (@p668 @p650))
% 0.42/0.88  (step @p670 :rule cong :premises (@p669 @p652) :args ((= (_ tptp.lam @t346) @t347)))
% 0.42/0.88  (step @p671 :rule symm :premises (@p670))
% 0.42/0.88  (step @p672 :rule refl :args (@t324))
% 0.42/0.88  (step @p673 :rule eq_resolve :premises (@p672 @p671))
% 0.42/0.88  (step @p674 :rule refl :args (@t313))
% 0.42/0.88  (step @p675 :rule cong :premises (@p674 @p650) :args ((= @t313 @t346)))
% 0.42/0.88  (step @p676 :rule symm :premises (@p675))
% 0.42/0.88  (step @p677 :rule eq_resolve :premises (@p674 @p676))
% 0.42/0.88  (step @p678 :rule ho_cong :premises (@p668 @p677))
% 0.42/0.88  (step @p679 :rule trans :premises (@p678 @p673))
% 0.42/0.88  (step @p680 :rule ho_cong :premises (@p590 @p679))
% 0.42/0.88  (step @p681 :rule ho_cong :premises (@p680 @p577))
% 0.42/0.88  (step @p682 :rule trans :premises (@p681 @p667))
% 0.42/0.88  (step @p683 :rule ho_cong :premises (@p469 @p682))
% 0.42/0.88  (step @p684 :rule trans :premises (@p683 @p661))
% 0.42/0.88  (step @p685 :rule cong :premises (@p684) :args (@t723))
% 0.42/0.88  (step @p686 :rule nary_cong :premises (@p187 @p685) :args (@t724))
% 0.42/0.88  (step @p687 :rule cong :premises (@p686) :args ((forall @t225 @t724)))
% 0.42/0.88  (step @p688 :rule bool-impl-elim :args (@t353 @t723))
% 0.42/0.88  (step @p689 :rule cong :premises (@p688) :args ((forall @t225 (=> @t353 @t723))))
% 0.42/0.88  (step @p690 :rule trans :premises (@p689 @p687))
% 0.42/0.88  (step @p691 :rule beta-reduce :args ((= (_ @t725 tptp.id) @t722)))
% 0.42/0.88  (step @p692 :rule beta-reduce :args ((= (_ @t692 @t324) @t725)))
% 0.42/0.88  (step @p693 :rule beta-reduce :args ((= (_ @t726 tptp.one) @t313)))
% 0.42/0.88  (step @p694 :rule refl :args (tptp.one))
% 0.42/0.88  (step @p695 :rule beta-reduce :args ((= @t727 @t726)))
% 0.42/0.88  (step @p696 :rule ho_cong :premises (@p695 @p694))
% 0.42/0.88  (step @p697 :rule trans :premises (@p696 @p693))
% 0.42/0.88  (step @p698 :rule refl :args (tptp.lam))
% 0.42/0.88  (step @p699 :rule ho_cong :premises (@p698 @p697))
% 0.42/0.88  (step @p700 :rule beta-reduce :args ((= (_ @t728 @t208) (_ tptp.lam (_ @t727 tptp.one)))))
% 0.42/0.88  (step @p701 :rule trans :premises (@p700 @p699))
% 0.42/0.88  (step @p702 :rule refl :args (@t208))
% 0.42/0.88  (step @p703 :rule beta-reduce :args ((= @t729 @t728)))
% 0.42/0.88  (step @p704 :rule ho_cong :premises (@p703 @p702))
% 0.42/0.88  (step @p705 :rule trans :premises (@p704 @p701))
% 0.42/0.88  (step @p706 :rule ho_cong :premises (@p491 @p705))
% 0.42/0.88  (step @p707 :rule trans :premises (@p706 @p692))
% 0.42/0.88  (step @p708 :rule ho_cong :premises (@p707 @p489))
% 0.42/0.88  (step @p709 :rule trans :premises (@p708 @p691))
% 0.42/0.88  (step @p710 :rule cong :premises (@p709) :args (@t731))
% 0.42/0.88  (step @p711 :rule refl :args ((_ @t200 @t38 @t61)))
% 0.42/0.88  (step @p712 :rule refl :args (@t348))
% 0.42/0.88  (step @p713 :rule refl :args (@t349))
% 0.42/0.88  (step @p714 :rule cong :premises (@p713 @p712) :args (@t350))
% 0.42/0.88  (step @p715 :rule trans :premises (@p714 @p711))
% 0.42/0.88  (step @p716 :rule refl :args (@t200))
% 0.42/0.88  (step @p717 :rule ho_cong :premises (@p716 @p713))
% 0.42/0.88  (step @p718 :rule ho_cong :premises (@p717 @p712))
% 0.42/0.88  (step @p719 :rule cong :premises (@p718 @p715) :args ((= (_ (_ @t200 @t349) @t348) @t350)))
% 0.42/0.88  (step @p720 :rule symm :premises (@p719))
% 0.42/0.88  (step @p721 :rule refl :args (@t220))
% 0.42/0.88  (step @p722 :rule eq_resolve :premises (@p721 @p720))
% 0.42/0.88  (step @p723 :rule refl :args (@t61))
% 0.42/0.88  (step @p724 :rule cong :premises (@p723 @p712) :args ((= @t61 @t348)))
% 0.42/0.88  (step @p725 :rule symm :premises (@p724))
% 0.42/0.88  (step @p726 :rule eq_resolve :premises (@p723 @p725))
% 0.42/0.88  (step @p727 :rule refl :args (@t38))
% 0.42/0.88  (step @p728 :rule cong :premises (@p727 @p713) :args ((= @t38 @t349)))
% 0.42/0.88  (step @p729 :rule symm :premises (@p728))
% 0.42/0.88  (step @p730 :rule eq_resolve :premises (@p727 @p729))
% 0.42/0.88  (step @p731 :rule ho_cong :premises (@p716 @p730))
% 0.42/0.88  (step @p732 :rule ho_cong :premises (@p731 @p726))
% 0.42/0.88  (step @p733 :rule trans :premises (@p732 @p722))
% 0.42/0.88  (step @p734 :rule refl :args ((tptp.sub @t202 @t37)))
% 0.42/0.88  (step @p735 :rule refl :args (@t351))
% 0.42/0.88  (step @p736 :rule cong :premises (@p735 @p517) :args (@t352))
% 0.42/0.88  (step @p737 :rule trans :premises (@p736 @p734))
% 0.42/0.88  (step @p738 :rule ho_cong :premises (@p590 @p735))
% 0.42/0.88  (step @p739 :rule ho_cong :premises (@p738 @p517))
% 0.42/0.88  (step @p740 :rule cong :premises (@p739 @p737) :args ((= (_ (_ tptp.sub @t351) @t37) @t352)))
% 0.42/0.88  (step @p741 :rule symm :premises (@p740))
% 0.42/0.88  (step @p742 :rule refl :args (@t221))
% 0.42/0.88  (step @p743 :rule eq_resolve :premises (@p742 @p741))
% 0.42/0.88  (step @p744 :rule refl :args (@t202))
% 0.42/0.88  (step @p745 :rule cong :premises (@p744 @p735) :args ((= @t202 @t351)))
% 0.42/0.88  (step @p746 :rule symm :premises (@p745))
% 0.42/0.88  (step @p747 :rule eq_resolve :premises (@p744 @p746))
% 0.42/0.88  (step @p748 :rule ho_cong :premises (@p590 @p747))
% 0.42/0.88  (step @p749 :rule ho_cong :premises (@p748 @p517))
% 0.42/0.88  (step @p750 :rule trans :premises (@p749 @p743))
% 0.42/0.88  (step @p751 :rule cong :premises (@p750 @p733) :args (@t222))
% 0.42/0.88  (step @p752 :rule cong :premises (@p751) :args (@t223))
% 0.42/0.88  (step @p753 :rule cong :premises (@p752 @p710) :args (@t732))
% 0.42/0.88  (step @p754 :rule cong :premises (@p753) :args (@t733))
% 0.42/0.88  (step @p755 :rule trans :premises (@p754 @p690))
% 0.42/0.88  (step @p756 :rule refl :args (tptp.hoaslamnotvar))
% 0.42/0.88  (step @p757 :rule cong :premises (@p756 @p755) :args ((= tptp.hoaslamnotvar @t733)))
% 0.42/0.88  (step @p758 :rule ho_cong :premises (@p113 @p489))
% 0.42/0.88  (step @p759 :rule ho_cong :premises (@p758 @p702))
% 0.42/0.88  (step @p760 :rule ho_cong :premises (@p561 @p759))
% 0.42/0.88  (step @p761 :rule ho_cong :premises (@p760 @p489))
% 0.42/0.88  (step @p762 :rule cong :premises (@p761) :args (@t237))
% 0.42/0.88  (step @p763 :rule refl :args (@t223))
% 0.42/0.88  (step @p764 :rule cong :premises (@p763 @p762) :args (@t238))
% 0.42/0.88  (step @p765 :rule cong :premises (@p764) :args (@t239))
% 0.42/0.88  (step @p766 :rule cong :premises (@p756 @p765) :args (@t240))
% 0.42/0.88  (step @p767 :rule trans :premises (@p766 @p757))
% 0.42/0.88  (step @p768 :rule eq_resolve :premises (@p66 @p767))
% 0.42/0.88  (step @p769 :rule cong :premises (@p768 @p646) :args (@t274))
% 0.42/0.88  (step @p770 :rule quant-merge-prenex :args ((= (forall @t225 @t735) @t607)))
% 0.42/0.88  (step @p771 :rule alpha_equiv :args (@t736 (@list @t356 @t355) (@list @t5 @t2)))
% 0.42/0.88  (step @p772 :rule nary_cong :premises (@p187 @p771) :args (@t737))
% 0.42/0.88  (step @p773 :rule quant-miniscope-or :args ((= @t735 @t737)))
% 0.42/0.88  (step @p774 :rule trans :premises (@p773 @p772))
% 0.42/0.88  (step @p775 :rule symm :premises (@p774))
% 0.42/0.88  (step @p776 :rule cong :premises (@p775) :args ((forall @t225 (or @t354 @t738))))
% 0.42/0.88  (step @p777 :rule trans :premises (@p776 @p770))
% 0.42/0.88  (step @p778 :rule bool-impl-elim :args (@t353 @t738))
% 0.42/0.88  (step @p779 :rule cong :premises (@p778) :args ((forall @t225 (=> @t353 @t738))))
% 0.42/0.88  (step @p780 :rule trans :premises (@p779 @p777))
% 0.42/0.88  (step @p781 :rule cong :premises (@p679 @p606) :args (@t739))
% 0.42/0.88  (step @p782 :rule cong :premises (@p781) :args (@t740))
% 0.42/0.88  (step @p783 :rule cong :premises (@p782) :args ((forall @t110 @t740)))
% 0.42/0.88  (step @p784 :rule beta-reduce :args ((= (_ @t741 tptp.one) @t313)))
% 0.42/0.88  (step @p785 :rule beta-reduce :args ((= @t742 @t741)))
% 0.42/0.88  (step @p786 :rule ho_cong :premises (@p785 @p694))
% 0.42/0.88  (step @p787 :rule trans :premises (@p786 @p784))
% 0.42/0.88  (step @p788 :rule ho_cong :premises (@p698 @p787))
% 0.42/0.88  (step @p789 :rule beta-reduce :args ((= (_ @t728 @t229) (_ tptp.lam (_ @t742 tptp.one)))))
% 0.42/0.88  (step @p790 :rule trans :premises (@p789 @p788))
% 0.42/0.88  (step @p791 :rule refl :args (@t229))
% 0.42/0.88  (step @p792 :rule ho_cong :premises (@p703 @p791))
% 0.42/0.88  (step @p793 :rule trans :premises (@p792 @p790))
% 0.42/0.88  (step @p794 :rule cong :premises (@p793 @p625) :args (@t743))
% 0.42/0.88  (step @p795 :rule cong :premises (@p794) :args (@t744))
% 0.42/0.88  (step @p796 :rule cong :premises (@p795) :args (@t745))
% 0.42/0.88  (step @p797 :rule trans :premises (@p796 @p783))
% 0.42/0.88  (step @p798 :rule cong :premises (@p752 @p797) :args (@t746))
% 0.42/0.88  (step @p799 :rule cong :premises (@p798) :args (@t747))
% 0.42/0.88  (step @p800 :rule trans :premises (@p799 @p780))
% 0.42/0.88  (step @p801 :rule refl :args (tptp.hoaslamnotap))
% 0.42/0.88  (step @p802 :rule cong :premises (@p801 @p800) :args ((= tptp.hoaslamnotap @t747)))
% 0.42/0.88  (step @p803 :rule ho_cong :premises (@p758 @p791))
% 0.42/0.88  (step @p804 :rule cong :premises (@p803 @p638) :args (@t230))
% 0.42/0.88  (step @p805 :rule cong :premises (@p804) :args (@t231))
% 0.42/0.88  (step @p806 :rule cong :premises (@p805) :args (@t232))
% 0.42/0.88  (step @p807 :rule cong :premises (@p763 @p806) :args (@t233))
% 0.42/0.88  (step @p808 :rule cong :premises (@p807) :args (@t234))
% 0.42/0.88  (step @p809 :rule cong :premises (@p801 @p808) :args (@t235))
% 0.42/0.88  (step @p810 :rule trans :premises (@p809 @p802))
% 0.42/0.88  (step @p811 :rule eq_resolve :premises (@p63 @p810))
% 0.42/0.88  (step @p812 :rule cong :premises (@p811 @p769) :args (@t275))
% 0.42/0.88  (step @p813 :rule aci_norm :args ((= @t749 @t364)))
% 0.42/0.88  (step @p814 :rule cong :premises (@p813) :args (@t750))
% 0.42/0.88  (step @p815 :rule quant-merge-prenex :args ((= (forall @t225 @t752) @t750)))
% 0.42/0.88  (step @p816 :rule alpha_equiv :args (@t753 (@list @t360 @t359 @t358) (@list @t198 @t755 @t754)))
% 0.42/0.88  (step @p817 :rule nary_cong :premises (@p187 @p816) :args (@t756))
% 0.42/0.88  (step @p818 :rule quant-miniscope-or :args ((= @t752 @t756)))
% 0.42/0.88  (step @p819 :rule trans :premises (@p818 @p817))
% 0.42/0.88  (step @p820 :rule symm :premises (@p819))
% 0.42/0.88  (step @p821 :rule cong :premises (@p820) :args ((forall @t225 (or @t354 @t767))))
% 0.42/0.88  (step @p822 :rule trans :premises (@p821 @p815))
% 0.42/0.88  (step @p823 :rule trans :premises (@p822 @p814))
% 0.42/0.88  (step @p824 :rule bool-impl-elim :args (@t353 @t767))
% 0.42/0.88  (step @p825 :rule cong :premises (@p824) :args ((forall @t225 (=> @t353 @t767))))
% 0.42/0.88  (step @p826 :rule trans :premises (@p825 @p823))
% 0.42/0.88  (step @p827 :rule quant-merge-prenex :args ((= (forall @t218 @t769) @t767)))
% 0.42/0.88  (step @p828 :rule alpha_equiv :args (@t770 (@list @t755 @t754) (@list @t1 @t5)))
% 0.42/0.88  (step @p829 :rule refl :args (@t760))
% 0.42/0.88  (step @p830 :rule refl :args (@t765))
% 0.42/0.88  (step @p831 :rule nary_cong :premises (@p830 @p829 @p828) :args (@t771))
% 0.42/0.88  (step @p832 :rule quant-miniscope-or :args ((= @t769 @t771)))
% 0.42/0.88  (step @p833 :rule trans :premises (@p832 @p831))
% 0.42/0.88  (step @p834 :rule symm :premises (@p833))
% 0.42/0.88  (step @p835 :rule cong :premises (@p834) :args ((forall @t218 (or @t765 @t760 @t772))))
% 0.42/0.88  (step @p836 :rule trans :premises (@p835 @p827))
% 0.42/0.88  (step @p837 :rule refl :args (@t772))
% 0.42/0.88  (step @p838 :rule refl :args ((tptp.lam @t774)))
% 0.42/0.88  (step @p839 :rule refl :args (@t758))
% 0.42/0.88  (step @p840 :rule cong :premises (@p839) :args (@t759))
% 0.42/0.88  (step @p841 :rule trans :premises (@p840 @p838))
% 0.42/0.88  (step @p842 :rule ho_cong :premises (@p668 @p839))
% 0.42/0.88  (step @p843 :rule cong :premises (@p842 @p841) :args ((= (_ tptp.lam @t758) @t759)))
% 0.42/0.88  (step @p844 :rule symm :premises (@p843))
% 0.42/0.88  (step @p845 :rule refl :args (@t775))
% 0.42/0.88  (step @p846 :rule eq_resolve :premises (@p845 @p844))
% 0.42/0.88  (step @p847 :rule refl :args (@t774))
% 0.42/0.88  (step @p848 :rule cong :premises (@p847 @p839) :args ((= @t774 @t758)))
% 0.42/0.88  (step @p849 :rule symm :premises (@p848))
% 0.42/0.88  (step @p850 :rule eq_resolve :premises (@p847 @p849))
% 0.42/0.88  (step @p851 :rule ho_cong :premises (@p668 @p850))
% 0.42/0.88  (step @p852 :rule trans :premises (@p851 @p846))
% 0.42/0.88  (step @p853 :rule cong :premises (@p679 @p852) :args (@t776))
% 0.42/0.88  (step @p854 :rule cong :premises (@p853) :args (@t777))
% 0.42/0.88  (step @p855 :rule nary_cong :premises (@p830 @p854 @p837) :args (@t778))
% 0.42/0.88  (step @p856 :rule cong :premises (@p855) :args ((forall @t218 @t778)))
% 0.42/0.88  (step @p857 :rule trans :premises (@p856 @p836))
% 0.42/0.88  (step @p858 :rule aci_norm :args ((= (or @t765 (or @t777 @t772)) @t778)))
% 0.42/0.88  (step @p859 :rule bool-impl-elim :args (@t776 @t772))
% 0.42/0.88  (step @p860 :rule nary_cong :premises (@p830 @p859) :args ((or @t765 @t779)))
% 0.42/0.88  (step @p861 :rule trans :premises (@p860 @p858))
% 0.42/0.88  (step @p862 :rule bool-impl-elim :args (@t764 @t779))
% 0.42/0.88  (step @p863 :rule trans :premises (@p862 @p861))
% 0.42/0.88  (step @p864 :rule cong :premises (@p863) :args ((forall @t218 (=> @t764 @t779))))
% 0.42/0.88  (step @p865 :rule trans :premises (@p864 @p857))
% 0.42/0.88  (step @p866 :rule refl :args (@t762))
% 0.42/0.88  (step @p867 :rule refl :args (@t199))
% 0.42/0.88  (step @p868 :rule cong :premises (@p867 @p866) :args ((= @t199 @t762)))
% 0.42/0.88  (step @p869 :rule symm :premises (@p868))
% 0.42/0.88  (step @p870 :rule eq_resolve :premises (@p867 @p869))
% 0.42/0.88  (step @p871 :rule cong :premises (@p747 @p870) :args (@t203))
% 0.42/0.88  (step @p872 :rule cong :premises (@p871) :args (@t205))
% 0.42/0.88  (step @p873 :rule beta-reduce :args ((= (_ @t780 tptp.one) @t774)))
% 0.42/0.88  (step @p874 :rule beta-reduce :args ((= @t781 @t780)))
% 0.42/0.88  (step @p875 :rule ho_cong :premises (@p874 @p694))
% 0.42/0.88  (step @p876 :rule trans :premises (@p875 @p873))
% 0.42/0.88  (step @p877 :rule ho_cong :premises (@p698 @p876))
% 0.42/0.88  (step @p878 :rule beta-reduce :args ((= (_ @t728 @t206) (_ tptp.lam (_ @t781 tptp.one)))))
% 0.42/0.88  (step @p879 :rule trans :premises (@p878 @p877))
% 0.42/0.88  (step @p880 :rule refl :args (@t206))
% 0.42/0.88  (step @p881 :rule ho_cong :premises (@p703 @p880))
% 0.42/0.88  (step @p882 :rule trans :premises (@p881 @p879))
% 0.42/0.88  (step @p883 :rule cong :premises (@p705 @p882) :args (@t782))
% 0.42/0.88  (step @p884 :rule cong :premises (@p883 @p872) :args (@t783))
% 0.42/0.88  (step @p885 :rule refl :args ((_ @t198 @t38 @t61)))
% 0.42/0.88  (step @p886 :rule cong :premises (@p713 @p712) :args (@t761))
% 0.42/0.88  (step @p887 :rule trans :premises (@p886 @p885))
% 0.42/0.88  (step @p888 :rule refl :args (@t198))
% 0.42/0.88  (step @p889 :rule ho_cong :premises (@p888 @p713))
% 0.42/0.88  (step @p890 :rule ho_cong :premises (@p889 @p712))
% 0.42/0.88  (step @p891 :rule cong :premises (@p890 @p887) :args ((= (_ (_ @t198 @t349) @t348) @t761)))
% 0.42/0.88  (step @p892 :rule symm :premises (@p891))
% 0.42/0.88  (step @p893 :rule refl :args (@t212))
% 0.42/0.88  (step @p894 :rule eq_resolve :premises (@p893 @p892))
% 0.42/0.88  (step @p895 :rule ho_cong :premises (@p888 @p730))
% 0.42/0.88  (step @p896 :rule ho_cong :premises (@p895 @p726))
% 0.42/0.88  (step @p897 :rule trans :premises (@p896 @p894))
% 0.42/0.88  (step @p898 :rule refl :args ((tptp.sub @t199 @t37)))
% 0.42/0.88  (step @p899 :rule cong :premises (@p866 @p517) :args (@t763))
% 0.42/0.88  (step @p900 :rule trans :premises (@p899 @p898))
% 0.42/0.88  (step @p901 :rule ho_cong :premises (@p590 @p866))
% 0.42/0.88  (step @p902 :rule ho_cong :premises (@p901 @p517))
% 0.42/0.88  (step @p903 :rule cong :premises (@p902 @p900) :args ((= (_ (_ tptp.sub @t762) @t37) @t763)))
% 0.42/0.88  (step @p904 :rule symm :premises (@p903))
% 0.42/0.88  (step @p905 :rule refl :args (@t213))
% 0.42/0.88  (step @p906 :rule eq_resolve :premises (@p905 @p904))
% 0.42/0.88  (step @p907 :rule ho_cong :premises (@p590 @p870))
% 0.42/0.88  (step @p908 :rule ho_cong :premises (@p907 @p517))
% 0.42/0.88  (step @p909 :rule trans :premises (@p908 @p906))
% 0.42/0.88  (step @p910 :rule cong :premises (@p909 @p897) :args (@t214))
% 0.42/0.88  (step @p911 :rule cong :premises (@p910) :args (@t216))
% 0.42/0.88  (step @p912 :rule cong :premises (@p911 @p884) :args (@t784))
% 0.42/0.88  (step @p913 :rule cong :premises (@p912) :args (@t785))
% 0.42/0.88  (step @p914 :rule trans :premises (@p913 @p865))
% 0.42/0.88  (step @p915 :rule cong :premises (@p752 @p914) :args (@t786))
% 0.42/0.88  (step @p916 :rule cong :premises (@p915) :args (@t787))
% 0.42/0.88  (step @p917 :rule trans :premises (@p916 @p826))
% 0.42/0.88  (step @p918 :rule refl :args (tptp.hoaslaminj))
% 0.42/0.88  (step @p919 :rule cong :premises (@p918 @p917) :args ((= tptp.hoaslaminj @t787)))
% 0.42/0.88  (step @p920 :rule refl :args (@t205))
% 0.42/0.88  (step @p921 :rule ho_cong :premises (@p758 @p880))
% 0.42/0.88  (step @p922 :rule cong :premises (@p759 @p921) :args (@t210))
% 0.42/0.88  (step @p923 :rule cong :premises (@p922 @p920) :args (@t211))
% 0.42/0.88  (step @p924 :rule refl :args (@t216))
% 0.42/0.88  (step @p925 :rule cong :premises (@p924 @p923) :args (@t217))
% 0.42/0.88  (step @p926 :rule cong :premises (@p925) :args (@t219))
% 0.42/0.88  (step @p927 :rule cong :premises (@p763 @p926) :args (@t224))
% 0.42/0.88  (step @p928 :rule cong :premises (@p927) :args (@t226))
% 0.42/0.88  (step @p929 :rule cong :premises (@p918 @p928) :args (@t227))
% 0.42/0.88  (step @p930 :rule trans :premises (@p929 @p919))
% 0.42/0.88  (step @p931 :rule eq_resolve :premises (@p60 @p930))
% 0.42/0.88  (step @p932 :rule cong :premises (@p931 @p812) :args (@t276))
% 0.42/0.88  (step @p933 :rule refl :args ((tptp.ap @t788 @t96)))
% 0.42/0.88  (step @p934 :rule refl :args (@t610))
% 0.42/0.88  (step @p935 :rule cong :premises (@p934 @p205) :args (@t611))
% 0.42/0.88  (step @p936 :rule trans :premises (@p935 @p933))
% 0.42/0.88  (step @p937 :rule ho_cong :premises (@p597 @p934))
% 0.42/0.88  (step @p938 :rule ho_cong :premises (@p937 @p205))
% 0.42/0.88  (step @p939 :rule cong :premises (@p938 @p936) :args ((= (_ (_ tptp.ap @t610) @t96) @t611)))
% 0.42/0.88  (step @p940 :rule symm :premises (@p939))
% 0.42/0.88  (step @p941 :rule refl :args (@t790))
% 0.42/0.88  (step @p942 :rule eq_resolve :premises (@p941 @p940))
% 0.42/0.88  (step @p943 :rule refl :args (@t788))
% 0.42/0.88  (step @p944 :rule cong :premises (@p943 @p934) :args ((= @t788 @t610)))
% 0.42/0.88  (step @p945 :rule symm :premises (@p944))
% 0.42/0.88  (step @p946 :rule eq_resolve :premises (@p943 @p945))
% 0.42/0.88  (step @p947 :rule ho_cong :premises (@p597 @p946))
% 0.42/0.88  (step @p948 :rule ho_cong :premises (@p947 @p205))
% 0.42/0.88  (step @p949 :rule trans :premises (@p948 @p942))
% 0.42/0.88  (step @p950 :rule refl :args ((tptp.ap @t22 @t99)))
% 0.42/0.88  (step @p951 :rule cong :premises (@p466 @p203) :args (@t612))
% 0.42/0.88  (step @p952 :rule trans :premises (@p951 @p950))
% 0.42/0.88  (step @p953 :rule ho_cong :premises (@p598 @p203))
% 0.42/0.88  (step @p954 :rule cong :premises (@p953 @p952) :args ((= (_ @t709 @t99) @t612)))
% 0.42/0.88  (step @p955 :rule symm :premises (@p954))
% 0.42/0.88  (step @p956 :rule refl :args (@t791))
% 0.42/0.88  (step @p957 :rule eq_resolve :premises (@p956 @p955))
% 0.42/0.88  (step @p958 :rule ho_cong :premises (@p604 @p203))
% 0.42/0.88  (step @p959 :rule trans :premises (@p958 @p957))
% 0.42/0.88  (step @p960 :rule cong :premises (@p959 @p949) :args (@t792))
% 0.42/0.88  (step @p961 :rule cong :premises (@p960) :args (@t793))
% 0.42/0.88  (step @p962 :rule nary_cong :premises (@p961 @p202) :args (@t794))
% 0.42/0.88  (step @p963 :rule cong :premises (@p962) :args ((forall @t102 @t794)))
% 0.42/0.88  (step @p964 :rule bool-impl-elim :args (@t792 @t105))
% 0.42/0.88  (step @p965 :rule cong :premises (@p964) :args ((forall @t102 (=> @t792 @t105))))
% 0.42/0.88  (step @p966 :rule trans :premises (@p965 @p963))
% 0.42/0.88  (step @p967 :rule beta-reduce :args ((= (_ @t796 @t96) @t790)))
% 0.42/0.88  (step @p968 :rule beta-reduce :args ((= (_ @t797 tptp.id) @t796)))
% 0.42/0.88  (step @p969 :rule beta-reduce :args ((= (_ (lambda (@list @t5 @t37 @t795) (_ @t321 @t795)) @t2) @t797)))
% 0.42/0.88  (step @p970 :rule alpha_equiv :args (@t714 @t798 (@list @t795)))
% 0.42/0.88  (step @p971 :rule ho_cong :premises (@p970 @p176))
% 0.42/0.88  (step @p972 :rule trans :premises (@p971 @p969))
% 0.42/0.88  (step @p973 :rule ho_cong :premises (@p619 @p331))
% 0.42/0.88  (step @p974 :rule trans :premises (@p973 @p972))
% 0.42/0.88  (step @p975 :rule ho_cong :premises (@p974 @p489))
% 0.42/0.88  (step @p976 :rule trans :premises (@p975 @p968))
% 0.42/0.88  (step @p977 :rule ho_cong :premises (@p976 @p356))
% 0.42/0.88  (step @p978 :rule trans :premises (@p977 @p967))
% 0.42/0.88  (step @p979 :rule beta-reduce :args ((= (_ @t712 @t99) @t791)))
% 0.42/0.88  (step @p980 :rule ho_cong :premises (@p623 @p359))
% 0.42/0.88  (step @p981 :rule trans :premises (@p980 @p979))
% 0.42/0.88  (step @p982 :rule cong :premises (@p981 @p978) :args (@t799))
% 0.42/0.88  (step @p983 :rule cong :premises (@p982 @p212) :args (@t800))
% 0.42/0.88  (step @p984 :rule cong :premises (@p983) :args (@t801))
% 0.42/0.88  (step @p985 :rule trans :premises (@p984 @p966))
% 0.42/0.88  (step @p986 :rule refl :args (tptp.hoasapinj2))
% 0.42/0.88  (step @p987 :rule cong :premises (@p986 @p985) :args ((= tptp.hoasapinj2 @t801)))
% 0.42/0.88  (step @p988 :rule ho_cong :premises (@p635 @p331))
% 0.42/0.88  (step @p989 :rule ho_cong :premises (@p988 @p489))
% 0.42/0.88  (step @p990 :rule ho_cong :premises (@p989 @p356))
% 0.42/0.88  (step @p991 :rule ho_cong :premises (@p637 @p359))
% 0.42/0.88  (step @p992 :rule cong :premises (@p991 @p990) :args (@t191))
% 0.42/0.88  (step @p993 :rule cong :premises (@p992 @p212) :args (@t195))
% 0.42/0.88  (step @p994 :rule cong :premises (@p993) :args (@t196))
% 0.42/0.88  (step @p995 :rule cong :premises (@p986 @p994) :args (@t197))
% 0.42/0.88  (step @p996 :rule trans :premises (@p995 @p987))
% 0.42/0.88  (step @p997 :rule eq_resolve :premises (@p57 @p996))
% 0.42/0.88  (step @p998 :rule cong :premises (@p997 @p932) :args (@t277))
% 0.42/0.88  (step @p999 :rule nary_cong :premises (@p961 @p219) :args (@t802))
% 0.42/0.88  (step @p1000 :rule cong :premises (@p999) :args ((forall @t102 @t802)))
% 0.42/0.88  (step @p1001 :rule bool-impl-elim :args (@t792 @t95))
% 0.42/0.88  (step @p1002 :rule cong :premises (@p1001) :args ((forall @t102 (=> @t792 @t95))))
% 0.42/0.88  (step @p1003 :rule trans :premises (@p1002 @p1000))
% 0.42/0.88  (step @p1004 :rule cong :premises (@p982 @p222) :args (@t803))
% 0.42/0.88  (step @p1005 :rule cong :premises (@p1004) :args (@t804))
% 0.42/0.88  (step @p1006 :rule trans :premises (@p1005 @p1003))
% 0.42/0.88  (step @p1007 :rule refl :args (tptp.hoasapinj1))
% 0.42/0.88  (step @p1008 :rule cong :premises (@p1007 @p1006) :args ((= tptp.hoasapinj1 @t804)))
% 0.42/0.88  (step @p1009 :rule cong :premises (@p992 @p222) :args (@t192))
% 0.42/0.88  (step @p1010 :rule cong :premises (@p1009) :args (@t193))
% 0.42/0.88  (step @p1011 :rule cong :premises (@p1007 @p1010) :args (@t194))
% 0.42/0.88  (step @p1012 :rule trans :premises (@p1011 @p1008))
% 0.42/0.88  (step @p1013 :rule eq_resolve :premises (@p54 @p1012))
% 0.42/0.88  (step @p1014 :rule cong :premises (@p1013 @p998) :args (@t278))
% 0.42/0.88  (step @p1015 :rule cong :premises (@p163 @p478) :args (@t805))
% 0.42/0.88  (step @p1016 :rule cong :premises (@p1015) :args ((forall @t23 @t805)))
% 0.42/0.88  (step @p1017 :rule eq-symm :args (@t22 @t5))
% 0.42/0.88  (step @p1018 :rule cong :premises (@p1017) :args (@t24))
% 0.42/0.88  (step @p1019 :rule trans :premises (@p1018 @p1016))
% 0.42/0.88  (step @p1020 :rule refl :args ((tptp.sub @t5 @t38)))
% 0.42/0.88  (step @p1021 :rule cong :premises (@p163 @p713) :args (@t369))
% 0.42/0.88  (step @p1022 :rule trans :premises (@p1021 @p1020))
% 0.42/0.88  (step @p1023 :rule refl :args (@t6))
% 0.42/0.88  (step @p1024 :rule ho_cong :premises (@p1023 @p713))
% 0.42/0.88  (step @p1025 :rule cong :premises (@p1024 @p1022) :args ((= (_ @t6 @t349) @t369)))
% 0.42/0.88  (step @p1026 :rule symm :premises (@p1025))
% 0.42/0.88  (step @p1027 :rule refl :args (@t39))
% 0.42/0.88  (step @p1028 :rule eq_resolve :premises (@p1027 @p1026))
% 0.42/0.88  (step @p1029 :rule ho_cong :premises (@p1023 @p730))
% 0.42/0.88  (step @p1030 :rule trans :premises (@p1029 @p1028))
% 0.42/0.88  (step @p1031 :rule refl :args ((tptp.sub @t7 @t37)))
% 0.42/0.88  (step @p1032 :rule refl :args (@t370))
% 0.42/0.88  (step @p1033 :rule cong :premises (@p1032 @p517) :args (@t371))
% 0.42/0.88  (step @p1034 :rule trans :premises (@p1033 @p1031))
% 0.42/0.88  (step @p1035 :rule ho_cong :premises (@p590 @p1032))
% 0.42/0.88  (step @p1036 :rule ho_cong :premises (@p1035 @p517))
% 0.42/0.88  (step @p1037 :rule cong :premises (@p1036 @p1034) :args ((= (_ (_ tptp.sub @t370) @t37) @t371)))
% 0.42/0.88  (step @p1038 :rule symm :premises (@p1037))
% 0.42/0.88  (step @p1039 :rule refl :args (@t40))
% 0.42/0.88  (step @p1040 :rule eq_resolve :premises (@p1039 @p1038))
% 0.42/0.88  (step @p1041 :rule refl :args (@t7))
% 0.42/0.88  (step @p1042 :rule cong :premises (@p1041 @p1032) :args ((= @t7 @t370)))
% 0.42/0.88  (step @p1043 :rule symm :premises (@p1042))
% 0.42/0.88  (step @p1044 :rule eq_resolve :premises (@p1041 @p1043))
% 0.42/0.88  (step @p1045 :rule ho_cong :premises (@p590 @p1044))
% 0.42/0.88  (step @p1046 :rule ho_cong :premises (@p1045 @p517))
% 0.42/0.88  (step @p1047 :rule trans :premises (@p1046 @p1040))
% 0.42/0.88  (step @p1048 :rule cong :premises (@p1047 @p1030) :args (@t41))
% 0.42/0.88  (step @p1049 :rule cong :premises (@p1048) :args (@t43))
% 0.42/0.88  (step @p1050 :rule nary_cong :premises (@p1049 @p1019) :args (@t187))
% 0.42/0.88  (step @p1051 :rule refl :args (tptp.termmset))
% 0.42/0.88  (step @p1052 :rule cong :premises (@p1051 @p1050) :args (@t188))
% 0.42/0.88  (step @p1053 :rule eq_resolve :premises (@p51 @p1052))
% 0.42/0.88  (step @p1054 :rule cong :premises (@p1053 @p1014) :args (@t279))
% 0.42/0.88  (step @p1055 :rule refl :args (@t625))
% 0.42/0.88  (step @p1056 :rule refl :args (@t67))
% 0.42/0.88  (step @p1057 :rule cong :premises (@p1056 @p1055) :args ((= @t67 @t625)))
% 0.42/0.88  (step @p1058 :rule symm :premises (@p1057))
% 0.42/0.88  (step @p1059 :rule eq_resolve :premises (@p1056 @p1058))
% 0.42/0.88  (step @p1060 :rule cong :premises (@p231 @p1059) :args (@t806))
% 0.42/0.88  (step @p1061 :rule cong :premises (@p1060) :args ((forall @t46 @t806)))
% 0.42/0.88  (step @p1062 :rule eq-symm :args (@t67 @t1))
% 0.42/0.88  (step @p1063 :rule cong :premises (@p1062) :args (@t68))
% 0.42/0.88  (step @p1064 :rule trans :premises (@p1063 @p1061))
% 0.42/0.88  (step @p1065 :rule refl :args (@t628))
% 0.42/0.88  (step @p1066 :rule refl :args (@t45))
% 0.42/0.88  (step @p1067 :rule cong :premises (@p1066 @p1065) :args ((= @t45 @t628)))
% 0.42/0.88  (step @p1068 :rule symm :premises (@p1067))
% 0.42/0.88  (step @p1069 :rule eq_resolve :premises (@p1066 @p1068))
% 0.42/0.88  (step @p1070 :rule cong :premises (@p231 @p1069) :args (@t807))
% 0.42/0.88  (step @p1071 :rule cong :premises (@p1070) :args ((forall @t46 @t807)))
% 0.42/0.88  (step @p1072 :rule eq-symm :args (@t45 @t1))
% 0.42/0.88  (step @p1073 :rule cong :premises (@p1072) :args (@t47))
% 0.42/0.88  (step @p1074 :rule trans :premises (@p1073 @p1071))
% 0.42/0.88  (step @p1075 :rule refl :args ((tptp.comp @t1 @t54)))
% 0.42/0.88  (step @p1076 :rule refl :args (@t375))
% 0.42/0.88  (step @p1077 :rule cong :premises (@p231 @p1076) :args (@t376))
% 0.42/0.88  (step @p1078 :rule trans :premises (@p1077 @p1075))
% 0.42/0.88  (step @p1079 :rule refl :args (@t26))
% 0.42/0.88  (step @p1080 :rule ho_cong :premises (@p1079 @p1076))
% 0.42/0.88  (step @p1081 :rule cong :premises (@p1080 @p1078) :args ((= (_ @t26 @t375) @t376)))
% 0.42/0.88  (step @p1082 :rule symm :premises (@p1081))
% 0.42/0.88  (step @p1083 :rule refl :args (@t55))
% 0.42/0.88  (step @p1084 :rule eq_resolve :premises (@p1083 @p1082))
% 0.42/0.88  (step @p1085 :rule refl :args (@t54))
% 0.42/0.88  (step @p1086 :rule cong :premises (@p1085 @p1076) :args ((= @t54 @t375)))
% 0.42/0.88  (step @p1087 :rule symm :premises (@p1086))
% 0.42/0.88  (step @p1088 :rule eq_resolve :premises (@p1085 @p1087))
% 0.42/0.88  (step @p1089 :rule ho_cong :premises (@p1079 @p1088))
% 0.42/0.88  (step @p1090 :rule trans :premises (@p1089 @p1084))
% 0.42/0.88  (step @p1091 :rule refl :args ((tptp.comp @t38 @t53)))
% 0.42/0.88  (step @p1092 :rule refl :args (@t53))
% 0.42/0.88  (step @p1093 :rule cong :premises (@p713 @p1092) :args (@t377))
% 0.42/0.88  (step @p1094 :rule trans :premises (@p1093 @p1091))
% 0.42/0.88  (step @p1095 :rule refl :args (tptp.comp))
% 0.42/0.88  (step @p1096 :rule ho_cong :premises (@p1095 @p713))
% 0.42/0.88  (step @p1097 :rule ho_cong :premises (@p1096 @p1092))
% 0.42/0.88  (step @p1098 :rule cong :premises (@p1097 @p1094) :args ((= (_ (_ tptp.comp @t349) @t53) @t377)))
% 0.42/0.88  (step @p1099 :rule symm :premises (@p1098))
% 0.42/0.88  (step @p1100 :rule refl :args (@t56))
% 0.42/0.88  (step @p1101 :rule eq_resolve :premises (@p1100 @p1099))
% 0.42/0.88  (step @p1102 :rule ho_cong :premises (@p1095 @p730))
% 0.42/0.88  (step @p1103 :rule ho_cong :premises (@p1102 @p1092))
% 0.42/0.88  (step @p1104 :rule trans :premises (@p1103 @p1101))
% 0.42/0.88  (step @p1105 :rule cong :premises (@p1104 @p1090) :args (@t57))
% 0.42/0.88  (step @p1106 :rule cong :premises (@p1105) :args (@t59))
% 0.42/0.88  (step @p1107 :rule nary_cong :premises (@p1106 @p1074 @p1064) :args (@t185))
% 0.42/0.88  (step @p1108 :rule refl :args (tptp.substmonoid))
% 0.42/0.88  (step @p1109 :rule cong :premises (@p1108 @p1107) :args (@t186))
% 0.42/0.88  (step @p1110 :rule eq_resolve :premises (@p48 @p1109))
% 0.42/0.88  (step @p1111 :rule cong :premises (@p1110 @p1054) :args (@t280))
% 0.42/0.88  (step @p1112 :rule quant-merge-prenex :args ((= (forall @t92 @t809) @t643)))
% 0.42/0.88  (step @p1113 :rule alpha_equiv :args (@t810 (@list @t379) @t678))
% 0.42/0.88  (step @p1114 :rule refl :args (@t641))
% 0.42/0.88  (step @p1115 :rule refl :args (@t391))
% 0.42/0.88  (step @p1116 :rule refl :args (@t395))
% 0.42/0.88  (step @p1117 :rule nary_cong :premises (@p1116 @p1115 @p1114 @p1113) :args (@t811))
% 0.42/0.88  (step @p1118 :rule quant-miniscope-or :args ((= @t809 @t811)))
% 0.42/0.88  (step @p1119 :rule trans :premises (@p1118 @p1117))
% 0.42/0.88  (step @p1120 :rule symm :premises (@p1119))
% 0.42/0.88  (step @p1121 :rule cong :premises (@p1120) :args ((forall @t92 @t813)))
% 0.42/0.88  (step @p1122 :rule trans :premises (@p1121 @p1112))
% 0.42/0.88  (step @p1123 :rule aci_norm :args ((= (or @t395 @t814) @t813)))
% 0.42/0.88  (step @p1124 :rule aci_norm :args ((= (or @t391 (or @t641 @t812)) @t814)))
% 0.42/0.88  (step @p1125 :rule bool-impl-elim :args (@t640 @t812))
% 0.42/0.88  (step @p1126 :rule nary_cong :premises (@p1115 @p1125) :args ((or @t391 @t815)))
% 0.42/0.88  (step @p1127 :rule trans :premises (@p1126 @p1124))
% 0.42/0.88  (step @p1128 :rule bool-impl-elim :args (@t390 @t815))
% 0.42/0.88  (step @p1129 :rule trans :premises (@p1128 @p1127))
% 0.42/0.88  (step @p1130 :rule nary_cong :premises (@p1116 @p1129) :args ((or @t395 @t816)))
% 0.42/0.88  (step @p1131 :rule trans :premises (@p1130 @p1123))
% 0.42/0.88  (step @p1132 :rule bool-impl-elim :args (@t394 @t816))
% 0.42/0.88  (step @p1133 :rule trans :premises (@p1132 @p1131))
% 0.42/0.88  (step @p1134 :rule cong :premises (@p1133) :args ((forall @t92 (=> @t394 @t816))))
% 0.42/0.88  (step @p1135 :rule trans :premises (@p1134 @p1122))
% 0.42/0.88  (step @p1136 :rule refl :args (@t388))
% 0.42/0.88  (step @p1137 :rule refl :args (@t84))
% 0.42/0.88  (step @p1138 :rule cong :premises (@p1137 @p1136) :args ((= @t84 @t388)))
% 0.42/0.88  (step @p1139 :rule symm :premises (@p1138))
% 0.42/0.88  (step @p1140 :rule eq_resolve :premises (@p1137 @p1139))
% 0.42/0.88  (step @p1141 :rule cong :premises (@p1140) :args (@t131))
% 0.42/0.88  (step @p1142 :rule refl :args ((_ @t83 @t32)))
% 0.42/0.88  (step @p1143 :rule refl :args (@t381))
% 0.42/0.88  (step @p1144 :rule cong :premises (@p1143) :args (@t382))
% 0.42/0.88  (step @p1145 :rule trans :premises (@p1144 @p1142))
% 0.42/0.88  (step @p1146 :rule refl :args (@t83))
% 0.42/0.88  (step @p1147 :rule ho_cong :premises (@p1146 @p1143))
% 0.42/0.88  (step @p1148 :rule cong :premises (@p1147 @p1145) :args ((= (_ @t83 @t381) @t382)))
% 0.42/0.88  (step @p1149 :rule symm :premises (@p1148))
% 0.42/0.88  (step @p1150 :rule refl :args (@t132))
% 0.42/0.88  (step @p1151 :rule eq_resolve :premises (@p1150 @p1149))
% 0.42/0.88  (step @p1152 :rule refl :args (@t32))
% 0.42/0.88  (step @p1153 :rule cong :premises (@p1152 @p1143) :args ((= @t32 @t381)))
% 0.42/0.88  (step @p1154 :rule symm :premises (@p1153))
% 0.42/0.88  (step @p1155 :rule eq_resolve :premises (@p1152 @p1154))
% 0.42/0.88  (step @p1156 :rule ho_cong :premises (@p1146 @p1155))
% 0.42/0.88  (step @p1157 :rule trans :premises (@p1156 @p1151))
% 0.42/0.88  (step @p1158 :rule refl :args (@t638))
% 0.42/0.88  (step @p1159 :rule nary_cong :premises (@p1158 @p1157) :args (@t817))
% 0.42/0.88  (step @p1160 :rule cong :premises (@p1159) :args ((forall @t23 @t817)))
% 0.42/0.88  (step @p1161 :rule bool-impl-elim :args (@t637 @t132))
% 0.42/0.88  (step @p1162 :rule cong :premises (@p1161) :args ((forall @t23 (=> @t637 @t132))))
% 0.42/0.88  (step @p1163 :rule trans :premises (@p1162 @p1160))
% 0.42/0.88  (step @p1164 :rule refl :args (@t132))
% 0.42/0.88  (step @p1165 :rule refl :args ((_ @t83 @t169)))
% 0.42/0.88  (step @p1166 :rule refl :args ((tptp.sub @t5 @t168)))
% 0.42/0.88  (step @p1167 :rule refl :args (@t633))
% 0.42/0.88  (step @p1168 :rule cong :premises (@p163 @p1167) :args (@t634))
% 0.42/0.88  (step @p1169 :rule trans :premises (@p1168 @p1166))
% 0.42/0.88  (step @p1170 :rule cong :premises (@p1169) :args (@t635))
% 0.42/0.88  (step @p1171 :rule trans :premises (@p1170 @p1165))
% 0.42/0.88  (step @p1172 :rule ho_cong :premises (@p1146 @p1169))
% 0.42/0.88  (step @p1173 :rule cong :premises (@p1172 @p1171) :args ((= (_ @t83 @t634) @t635)))
% 0.42/0.88  (step @p1174 :rule symm :premises (@p1173))
% 0.42/0.88  (step @p1175 :rule refl :args (@t170))
% 0.42/0.88  (step @p1176 :rule eq_resolve :premises (@p1175 @p1174))
% 0.42/0.88  (step @p1177 :rule ho_cong :premises (@p1023 @p1167))
% 0.42/0.88  (step @p1178 :rule cong :premises (@p1177 @p1169) :args ((= (_ @t6 @t633) @t634)))
% 0.42/0.88  (step @p1179 :rule symm :premises (@p1178))
% 0.42/0.88  (step @p1180 :rule refl :args (@t169))
% 0.42/0.88  (step @p1181 :rule eq_resolve :premises (@p1180 @p1179))
% 0.42/0.88  (step @p1182 :rule refl :args (@t168))
% 0.42/0.88  (step @p1183 :rule cong :premises (@p1182 @p1167) :args ((= @t168 @t633)))
% 0.42/0.88  (step @p1184 :rule symm :premises (@p1183))
% 0.42/0.88  (step @p1185 :rule eq_resolve :premises (@p1182 @p1184))
% 0.42/0.88  (step @p1186 :rule ho_cong :premises (@p1023 @p1185))
% 0.42/0.88  (step @p1187 :rule trans :premises (@p1186 @p1181))
% 0.42/0.88  (step @p1188 :rule ho_cong :premises (@p1146 @p1187))
% 0.42/0.88  (step @p1189 :rule trans :premises (@p1188 @p1176))
% 0.42/0.88  (step @p1190 :rule refl :args (@t383))
% 0.42/0.88  (step @p1191 :rule refl :args (@t136))
% 0.42/0.88  (step @p1192 :rule cong :premises (@p1191 @p1190) :args ((= @t136 @t383)))
% 0.42/0.88  (step @p1193 :rule symm :premises (@p1192))
% 0.42/0.88  (step @p1194 :rule eq_resolve :premises (@p1191 @p1193))
% 0.42/0.88  (step @p1195 :rule cong :premises (@p1194) :args (@t818))
% 0.42/0.88  (step @p1196 :rule nary_cong :premises (@p1195 @p1189) :args (@t819))
% 0.42/0.88  (step @p1197 :rule cong :premises (@p1196) :args ((forall @t154 @t819)))
% 0.42/0.88  (step @p1198 :rule bool-impl-elim :args (@t136 @t170))
% 0.42/0.88  (step @p1199 :rule cong :premises (@p1198) :args (@t171))
% 0.42/0.88  (step @p1200 :rule trans :premises (@p1199 @p1197))
% 0.42/0.88  (step @p1201 :rule cong :premises (@p1200 @p1164) :args (@t172))
% 0.42/0.88  (step @p1202 :rule cong :premises (@p1201) :args (@t173))
% 0.42/0.88  (step @p1203 :rule trans :premises (@p1202 @p1163))
% 0.42/0.88  (step @p1204 :rule cong :premises (@p1203 @p1141) :args (@t179))
% 0.42/0.88  (step @p1205 :rule refl :args ((_ @t83 @t10)))
% 0.42/0.88  (step @p1206 :rule refl :args (@t386))
% 0.42/0.88  (step @p1207 :rule cong :premises (@p1206) :args (@t387))
% 0.42/0.88  (step @p1208 :rule trans :premises (@p1207 @p1205))
% 0.42/0.88  (step @p1209 :rule ho_cong :premises (@p1146 @p1206))
% 0.42/0.88  (step @p1210 :rule cong :premises (@p1209 @p1208) :args ((= (_ @t83 @t386) @t387)))
% 0.42/0.88  (step @p1211 :rule symm :premises (@p1210))
% 0.42/0.88  (step @p1212 :rule refl :args (@t135))
% 0.42/0.88  (step @p1213 :rule eq_resolve :premises (@p1212 @p1211))
% 0.42/0.88  (step @p1214 :rule refl :args (@t10))
% 0.42/0.88  (step @p1215 :rule cong :premises (@p1214 @p1206) :args ((= @t10 @t386)))
% 0.42/0.88  (step @p1216 :rule symm :premises (@p1215))
% 0.42/0.88  (step @p1217 :rule eq_resolve :premises (@p1214 @p1216))
% 0.42/0.88  (step @p1218 :rule ho_cong :premises (@p1146 @p1217))
% 0.42/0.88  (step @p1219 :rule trans :premises (@p1218 @p1213))
% 0.42/0.88  (step @p1220 :rule cong :premises (@p1140) :args (@t820))
% 0.42/0.88  (step @p1221 :rule nary_cong :premises (@p1220 @p1195 @p1219) :args (@t821))
% 0.42/0.88  (step @p1222 :rule cong :premises (@p1221) :args ((forall @t110 @t821)))
% 0.42/0.88  (step @p1223 :rule aci_norm :args ((= (or @t820 (or @t818 @t135)) @t821)))
% 0.42/0.88  (step @p1224 :rule bool-impl-elim :args (@t136 @t135))
% 0.42/0.88  (step @p1225 :rule refl :args (@t820))
% 0.42/0.88  (step @p1226 :rule nary_cong :premises (@p1225 @p1224) :args ((or @t820 @t137)))
% 0.42/0.88  (step @p1227 :rule trans :premises (@p1226 @p1223))
% 0.42/0.88  (step @p1228 :rule bool-impl-elim :args (@t84 @t137))
% 0.42/0.88  (step @p1229 :rule trans :premises (@p1228 @p1227))
% 0.42/0.88  (step @p1230 :rule cong :premises (@p1229) :args (@t138))
% 0.42/0.88  (step @p1231 :rule trans :premises (@p1230 @p1222))
% 0.42/0.88  (step @p1232 :rule cong :premises (@p1231 @p1204) :args (@t180))
% 0.42/0.88  (step @p1233 :rule nary_cong :premises (@p459 @p1140) :args (@t822))
% 0.42/0.88  (step @p1234 :rule cong :premises (@p1233) :args ((forall @t23 @t822)))
% 0.42/0.88  (step @p1235 :rule bool-impl-elim :args (@t80 @t84))
% 0.42/0.88  (step @p1236 :rule cong :premises (@p1235) :args (@t85))
% 0.42/0.88  (step @p1237 :rule trans :premises (@p1236 @p1234))
% 0.42/0.88  (step @p1238 :rule cong :premises (@p1237 @p1232) :args (@t181))
% 0.42/0.88  (step @p1239 :rule cong :premises (@p1238) :args (@t182))
% 0.42/0.88  (step @p1240 :rule trans :premises (@p1239 @p1135))
% 0.42/0.88  (step @p1241 :rule refl :args (tptp.induction2))
% 0.42/0.88  (step @p1242 :rule cong :premises (@p1241 @p1240) :args (@t183))
% 0.42/0.88  (step @p1243 :rule eq_resolve :premises (@p45 @p1242))
% 0.42/0.88  (step @p1244 :rule cong :premises (@p1243 @p1111) :args (@t281))
% 0.42/0.88  (step @p1245 :rule aci_norm :args ((= @t824 @t645)))
% 0.42/0.88  (step @p1246 :rule cong :premises (@p1245) :args (@t825))
% 0.42/0.88  (step @p1247 :rule quant-merge-prenex :args ((= (forall @t92 @t827) @t825)))
% 0.42/0.88  (step @p1248 :rule alpha_equiv :args (@t828 (@list @t398 @t397) (@list @t5 @t1)))
% 0.42/0.88  (step @p1249 :rule nary_cong :premises (@p1115 @p1114 @p1248) :args (@t829))
% 0.42/0.88  (step @p1250 :rule quant-miniscope-or :args ((= @t827 @t829)))
% 0.42/0.88  (step @p1251 :rule trans :premises (@p1250 @p1249))
% 0.42/0.88  (step @p1252 :rule symm :premises (@p1251))
% 0.42/0.88  (step @p1253 :rule cong :premises (@p1252) :args ((forall @t92 @t832)))
% 0.42/0.88  (step @p1254 :rule trans :premises (@p1253 @p1247))
% 0.42/0.88  (step @p1255 :rule trans :premises (@p1254 @p1246))
% 0.42/0.88  (step @p1256 :rule aci_norm :args ((= (or @t391 (or @t641 @t831)) @t832)))
% 0.42/0.88  (step @p1257 :rule bool-impl-elim :args (@t640 @t831))
% 0.42/0.88  (step @p1258 :rule nary_cong :premises (@p1115 @p1257) :args ((or @t391 @t833)))
% 0.42/0.88  (step @p1259 :rule trans :premises (@p1258 @p1256))
% 0.42/0.88  (step @p1260 :rule bool-impl-elim :args (@t390 @t833))
% 0.42/0.88  (step @p1261 :rule trans :premises (@p1260 @p1259))
% 0.42/0.88  (step @p1262 :rule cong :premises (@p1261) :args ((forall @t92 (=> @t390 @t833))))
% 0.42/0.88  (step @p1263 :rule trans :premises (@p1262 @p1255))
% 0.42/0.88  (step @p1264 :rule refl :args ((_ @t83 @t7)))
% 0.42/0.88  (step @p1265 :rule cong :premises (@p1032) :args (@t830))
% 0.42/0.88  (step @p1266 :rule trans :premises (@p1265 @p1264))
% 0.42/0.88  (step @p1267 :rule ho_cong :premises (@p1146 @p1032))
% 0.42/0.88  (step @p1268 :rule cong :premises (@p1267 @p1266) :args ((= (_ @t83 @t370) @t830)))
% 0.42/0.88  (step @p1269 :rule symm :premises (@p1268))
% 0.42/0.88  (step @p1270 :rule refl :args (@t165))
% 0.42/0.88  (step @p1271 :rule eq_resolve :premises (@p1270 @p1269))
% 0.42/0.88  (step @p1272 :rule ho_cong :premises (@p1146 @p1044))
% 0.42/0.88  (step @p1273 :rule trans :premises (@p1272 @p1271))
% 0.42/0.88  (step @p1274 :rule refl :args (@t411))
% 0.42/0.88  (step @p1275 :rule nary_cong :premises (@p1274 @p1273) :args (@t834))
% 0.42/0.88  (step @p1276 :rule cong :premises (@p1275) :args ((forall @t19 @t834)))
% 0.42/0.88  (step @p1277 :rule bool-impl-elim :args (@t410 @t165))
% 0.42/0.88  (step @p1278 :rule cong :premises (@p1277) :args ((forall @t19 (=> @t410 @t165))))
% 0.42/0.88  (step @p1279 :rule trans :premises (@p1278 @p1276))
% 0.42/0.88  (step @p1280 :rule refl :args (@t165))
% 0.42/0.88  (step @p1281 :rule refl :args ((_ @t83 @t4)))
% 0.42/0.88  (step @p1282 :rule refl :args (@t408))
% 0.42/0.88  (step @p1283 :rule cong :premises (@p1282) :args (@t409))
% 0.42/0.88  (step @p1284 :rule trans :premises (@p1283 @p1281))
% 0.42/0.88  (step @p1285 :rule ho_cong :premises (@p1146 @p1282))
% 0.42/0.88  (step @p1286 :rule cong :premises (@p1285 @p1284) :args ((= (_ @t83 @t408) @t409)))
% 0.42/0.88  (step @p1287 :rule symm :premises (@p1286))
% 0.42/0.88  (step @p1288 :rule refl :args (@t152))
% 0.42/0.88  (step @p1289 :rule eq_resolve :premises (@p1288 @p1287))
% 0.42/0.88  (step @p1290 :rule refl :args (@t4))
% 0.42/0.88  (step @p1291 :rule cong :premises (@p1290 @p1282) :args ((= @t4 @t408)))
% 0.42/0.88  (step @p1292 :rule symm :premises (@p1291))
% 0.42/0.88  (step @p1293 :rule eq_resolve :premises (@p1290 @p1292))
% 0.42/0.88  (step @p1294 :rule ho_cong :premises (@p1146 @p1293))
% 0.42/0.88  (step @p1295 :rule trans :premises (@p1294 @p1289))
% 0.42/0.88  (step @p1296 :rule refl :args (@t400))
% 0.42/0.88  (step @p1297 :rule refl :args (@t153))
% 0.42/0.88  (step @p1298 :rule cong :premises (@p1297 @p1296) :args ((= @t153 @t400)))
% 0.42/0.88  (step @p1299 :rule symm :premises (@p1298))
% 0.42/0.88  (step @p1300 :rule eq_resolve :premises (@p1297 @p1299))
% 0.42/0.88  (step @p1301 :rule cong :premises (@p1300) :args (@t835))
% 0.42/0.88  (step @p1302 :rule nary_cong :premises (@p1301 @p1295) :args (@t836))
% 0.42/0.88  (step @p1303 :rule cong :premises (@p1302) :args ((forall @t154 @t836)))
% 0.42/0.88  (step @p1304 :rule bool-impl-elim :args (@t153 @t152))
% 0.42/0.88  (step @p1305 :rule cong :premises (@p1304) :args (@t155))
% 0.42/0.88  (step @p1306 :rule trans :premises (@p1305 @p1303))
% 0.42/0.88  (step @p1307 :rule cong :premises (@p1306 @p1280) :args (@t166))
% 0.42/0.88  (step @p1308 :rule cong :premises (@p1307) :args (@t167))
% 0.42/0.88  (step @p1309 :rule trans :premises (@p1308 @p1279))
% 0.42/0.88  (step @p1310 :rule cong :premises (@p1203 @p1309) :args (@t174))
% 0.42/0.88  (step @p1311 :rule cong :premises (@p1231 @p1310) :args (@t175))
% 0.42/0.88  (step @p1312 :rule cong :premises (@p1311) :args (@t176))
% 0.42/0.88  (step @p1313 :rule trans :premises (@p1312 @p1263))
% 0.42/0.88  (step @p1314 :rule refl :args (tptp.induction2lem))
% 0.42/0.88  (step @p1315 :rule cong :premises (@p1314 @p1313) :args (@t177))
% 0.42/0.88  (step @p1316 :rule eq_resolve :premises (@p42 @p1315))
% 0.42/0.88  (step @p1317 :rule cong :premises (@p1316 @p1244) :args (@t282))
% 0.42/0.88  (step @p1318 :rule aci_norm :args ((= @t838 @t412)))
% 0.42/0.88  (step @p1319 :rule cong :premises (@p1318) :args (@t839))
% 0.42/0.88  (step @p1320 :rule quant-merge-prenex :args ((= (forall @t146 @t841) @t839)))
% 0.42/0.88  (step @p1321 :rule alpha_equiv :args (@t842 (@list @t405) @t798))
% 0.42/0.88  (step @p1322 :rule refl :args (@t389))
% 0.42/0.88  (step @p1323 :rule nary_cong :premises (@p1274 @p1322 @p1321) :args (@t843))
% 0.42/0.88  (step @p1324 :rule quant-miniscope-or :args ((= @t841 @t843)))
% 0.42/0.88  (step @p1325 :rule trans :premises (@p1324 @p1323))
% 0.42/0.88  (step @p1326 :rule symm :premises (@p1325))
% 0.42/0.88  (step @p1327 :rule cong :premises (@p1326) :args ((forall @t146 (or @t411 @t389 @t846))))
% 0.42/0.88  (step @p1328 :rule trans :premises (@p1327 @p1320))
% 0.42/0.88  (step @p1329 :rule trans :premises (@p1328 @p1319))
% 0.42/0.88  (step @p1330 :rule refl :args (@t846))
% 0.42/0.88  (step @p1331 :rule nary_cong :premises (@p1274 @p1220 @p1330) :args (@t847))
% 0.42/0.88  (step @p1332 :rule cong :premises (@p1331) :args ((forall @t146 @t847)))
% 0.42/0.88  (step @p1333 :rule trans :premises (@p1332 @p1329))
% 0.42/0.88  (step @p1334 :rule aci_norm :args ((= (or @t411 (or @t820 @t846)) @t847)))
% 0.42/0.88  (step @p1335 :rule bool-impl-elim :args (@t84 @t846))
% 0.42/0.88  (step @p1336 :rule nary_cong :premises (@p1274 @p1335) :args ((or @t411 @t848)))
% 0.42/0.88  (step @p1337 :rule trans :premises (@p1336 @p1334))
% 0.42/0.88  (step @p1338 :rule bool-impl-elim :args (@t410 @t848))
% 0.42/0.88  (step @p1339 :rule trans :premises (@p1338 @p1337))
% 0.42/0.88  (step @p1340 :rule cong :premises (@p1339) :args ((forall @t146 (=> @t410 @t848))))
% 0.42/0.88  (step @p1341 :rule trans :premises (@p1340 @p1333))
% 0.42/0.88  (step @p1342 :rule refl :args ((_ @t83 @t156)))
% 0.42/0.88  (step @p1343 :rule refl :args ((tptp.sub @t2 @t16)))
% 0.42/0.88  (step @p1344 :rule refl :args (@t404))
% 0.42/0.88  (step @p1345 :rule cong :premises (@p176 @p1344) :args (@t844))
% 0.42/0.88  (step @p1346 :rule trans :premises (@p1345 @p1343))
% 0.42/0.88  (step @p1347 :rule cong :premises (@p1346) :args (@t845))
% 0.42/0.88  (step @p1348 :rule trans :premises (@p1347 @p1342))
% 0.42/0.88  (step @p1349 :rule ho_cong :premises (@p1146 @p1346))
% 0.42/0.88  (step @p1350 :rule cong :premises (@p1349 @p1348) :args ((= (_ @t83 @t844) @t845)))
% 0.42/0.88  (step @p1351 :rule symm :premises (@p1350))
% 0.42/0.88  (step @p1352 :rule refl :args (@t157))
% 0.42/0.88  (step @p1353 :rule eq_resolve :premises (@p1352 @p1351))
% 0.42/0.88  (step @p1354 :rule refl :args (@t3))
% 0.42/0.88  (step @p1355 :rule ho_cong :premises (@p1354 @p1344))
% 0.42/0.88  (step @p1356 :rule cong :premises (@p1355 @p1346) :args ((= (_ @t3 @t404) @t844)))
% 0.42/0.88  (step @p1357 :rule symm :premises (@p1356))
% 0.42/0.88  (step @p1358 :rule refl :args (@t156))
% 0.42/0.88  (step @p1359 :rule eq_resolve :premises (@p1358 @p1357))
% 0.42/0.88  (step @p1360 :rule refl :args (@t16))
% 0.42/0.88  (step @p1361 :rule cong :premises (@p1360 @p1344) :args ((= @t16 @t404)))
% 0.42/0.88  (step @p1362 :rule symm :premises (@p1361))
% 0.42/0.88  (step @p1363 :rule eq_resolve :premises (@p1360 @p1362))
% 0.42/0.88  (step @p1364 :rule ho_cong :premises (@p1354 @p1363))
% 0.42/0.88  (step @p1365 :rule trans :premises (@p1364 @p1359))
% 0.42/0.88  (step @p1366 :rule ho_cong :premises (@p1146 @p1365))
% 0.42/0.88  (step @p1367 :rule trans :premises (@p1366 @p1353))
% 0.42/0.88  (step @p1368 :rule nary_cong :premises (@p1301 @p1367) :args (@t849))
% 0.42/0.88  (step @p1369 :rule cong :premises (@p1368) :args ((forall @t154 @t849)))
% 0.42/0.88  (step @p1370 :rule bool-impl-elim :args (@t153 @t157))
% 0.42/0.88  (step @p1371 :rule cong :premises (@p1370) :args (@t158))
% 0.42/0.88  (step @p1372 :rule trans :premises (@p1371 @p1369))
% 0.42/0.88  (step @p1373 :rule refl :args (@t84))
% 0.42/0.88  (step @p1374 :rule cong :premises (@p1373 @p1372) :args (@t160))
% 0.42/0.88  (step @p1375 :rule cong :premises (@p1306 @p1374) :args (@t161))
% 0.42/0.88  (step @p1376 :rule cong :premises (@p1375) :args (@t162))
% 0.42/0.88  (step @p1377 :rule trans :premises (@p1376 @p1341))
% 0.42/0.88  (step @p1378 :rule refl :args (tptp.pushprop))
% 0.42/0.88  (step @p1379 :rule cong :premises (@p1378 @p1377) :args (@t163))
% 0.42/0.88  (step @p1380 :rule eq_resolve :premises (@p38 @p1379))
% 0.42/0.88  (step @p1381 :rule cong :premises (@p1380 @p1317) :args (@t283))
% 0.42/0.88  (step @p1382 :rule quant-merge-prenex :args ((= (forall @t92 @t851) @t420)))
% 0.42/0.88  (step @p1383 :rule alpha_equiv :args (@t852 (@list @t415) @t678))
% 0.42/0.88  (step @p1384 :rule refl :args (@t418))
% 0.42/0.88  (step @p1385 :rule nary_cong :premises (@p1116 @p1115 @p1384 @p1383) :args (@t853))
% 0.42/0.88  (step @p1386 :rule quant-miniscope-or :args ((= @t851 @t853)))
% 0.42/0.88  (step @p1387 :rule trans :premises (@p1386 @p1385))
% 0.42/0.88  (step @p1388 :rule symm :premises (@p1387))
% 0.42/0.88  (step @p1389 :rule cong :premises (@p1388) :args ((forall @t92 @t854)))
% 0.42/0.88  (step @p1390 :rule trans :premises (@p1389 @p1382))
% 0.42/0.88  (step @p1391 :rule aci_norm :args ((= (or @t395 @t855) @t854)))
% 0.42/0.88  (step @p1392 :rule aci_norm :args ((= (or @t391 (or @t418 @t812)) @t855)))
% 0.42/0.88  (step @p1393 :rule bool-impl-elim :args (@t417 @t812))
% 0.42/0.88  (step @p1394 :rule nary_cong :premises (@p1115 @p1393) :args ((or @t391 @t856)))
% 0.42/0.88  (step @p1395 :rule trans :premises (@p1394 @p1392))
% 0.42/0.88  (step @p1396 :rule bool-impl-elim :args (@t390 @t856))
% 0.42/0.88  (step @p1397 :rule trans :premises (@p1396 @p1395))
% 0.42/0.88  (step @p1398 :rule nary_cong :premises (@p1116 @p1397) :args ((or @t395 @t857)))
% 0.42/0.88  (step @p1399 :rule trans :premises (@p1398 @p1391))
% 0.42/0.88  (step @p1400 :rule bool-impl-elim :args (@t394 @t857))
% 0.42/0.88  (step @p1401 :rule trans :premises (@p1400 @p1399))
% 0.42/0.88  (step @p1402 :rule cong :premises (@p1401) :args ((forall @t92 (=> @t394 @t857))))
% 0.42/0.88  (step @p1403 :rule trans :premises (@p1402 @p1390))
% 0.42/0.88  (step @p1404 :rule nary_cong :premises (@p1220 @p1157) :args (@t858))
% 0.42/0.88  (step @p1405 :rule cong :premises (@p1404) :args ((forall @t23 @t858)))
% 0.42/0.88  (step @p1406 :rule bool-impl-elim :args (@t84 @t132))
% 0.42/0.88  (step @p1407 :rule cong :premises (@p1406) :args (@t133))
% 0.42/0.88  (step @p1408 :rule trans :premises (@p1407 @p1405))
% 0.42/0.88  (step @p1409 :rule cong :premises (@p1408 @p1141) :args (@t134))
% 0.42/0.88  (step @p1410 :rule cong :premises (@p1231 @p1409) :args (@t139))
% 0.42/0.88  (step @p1411 :rule cong :premises (@p1237 @p1410) :args (@t140))
% 0.42/0.88  (step @p1412 :rule cong :premises (@p1411) :args (@t141))
% 0.42/0.88  (step @p1413 :rule trans :premises (@p1412 @p1403))
% 0.42/0.88  (step @p1414 :rule refl :args (tptp.induction))
% 0.42/0.88  (step @p1415 :rule cong :premises (@p1414 @p1413) :args (@t142))
% 0.42/0.88  (step @p1416 :rule eq_resolve :premises (@p23 @p1415))
% 0.42/0.88  (step @p1417 :rule cong :premises (@p1416 @p1381) :args (@t284))
% 0.42/0.88  (step @p1418 :rule refl :args ((tptp.var @t32)))
% 0.42/0.88  (step @p1419 :rule cong :premises (@p1143) :args (@t421))
% 0.42/0.88  (step @p1420 :rule trans :premises (@p1419 @p1418))
% 0.42/0.88  (step @p1421 :rule ho_cong :premises (@p469 @p1143))
% 0.42/0.88  (step @p1422 :rule cong :premises (@p1421 @p1420) :args ((= (_ tptp.var @t381) @t421)))
% 0.42/0.88  (step @p1423 :rule symm :premises (@p1422))
% 0.42/0.88  (step @p1424 :rule refl :args (@t127))
% 0.42/0.88  (step @p1425 :rule eq_resolve :premises (@p1424 @p1423))
% 0.42/0.88  (step @p1426 :rule ho_cong :premises (@p469 @p1155))
% 0.42/0.88  (step @p1427 :rule trans :premises (@p1426 @p1425))
% 0.42/0.88  (step @p1428 :rule cong :premises (@p1427) :args (@t128))
% 0.42/0.88  (step @p1429 :rule cong :premises (@p1428) :args (@t129))
% 0.42/0.88  (step @p1430 :rule refl :args (tptp.lamnotvar))
% 0.42/0.88  (step @p1431 :rule cong :premises (@p1430 @p1429) :args (@t130))
% 0.42/0.88  (step @p1432 :rule eq_resolve :premises (@p22 @p1431))
% 0.42/0.88  (step @p1433 :rule cong :premises (@p1432 @p1417) :args (@t285))
% 0.42/0.88  (step @p1434 :rule refl :args ((tptp.var @t10)))
% 0.42/0.88  (step @p1435 :rule cong :premises (@p1206) :args (@t423))
% 0.42/0.88  (step @p1436 :rule trans :premises (@p1435 @p1434))
% 0.42/0.88  (step @p1437 :rule ho_cong :premises (@p469 @p1206))
% 0.42/0.88  (step @p1438 :rule cong :premises (@p1437 @p1436) :args ((= (_ tptp.var @t386) @t423)))
% 0.42/0.88  (step @p1439 :rule symm :premises (@p1438))
% 0.42/0.88  (step @p1440 :rule refl :args (@t123))
% 0.42/0.88  (step @p1441 :rule eq_resolve :premises (@p1440 @p1439))
% 0.42/0.88  (step @p1442 :rule ho_cong :premises (@p469 @p1217))
% 0.42/0.88  (step @p1443 :rule trans :premises (@p1442 @p1441))
% 0.42/0.88  (step @p1444 :rule cong :premises (@p1443) :args (@t124))
% 0.42/0.88  (step @p1445 :rule cong :premises (@p1444) :args (@t125))
% 0.42/0.88  (step @p1446 :rule refl :args (tptp.apnotvar))
% 0.42/0.88  (step @p1447 :rule cong :premises (@p1446 @p1445) :args (@t126))
% 0.42/0.88  (step @p1448 :rule eq_resolve :premises (@p21 @p1447))
% 0.42/0.88  (step @p1449 :rule cong :premises (@p1448 @p1433) :args (@t286))
% 0.42/0.88  (step @p1450 :rule refl :args (@t425))
% 0.42/0.88  (step @p1451 :rule refl :args (@t117))
% 0.42/0.88  (step @p1452 :rule cong :premises (@p1451 @p1450) :args ((= @t117 @t425)))
% 0.42/0.88  (step @p1453 :rule symm :premises (@p1452))
% 0.42/0.88  (step @p1454 :rule eq_resolve :premises (@p1451 @p1453))
% 0.42/0.88  (step @p1455 :rule cong :premises (@p1155 @p1454) :args (@t118))
% 0.42/0.88  (step @p1456 :rule cong :premises (@p1455) :args (@t119))
% 0.42/0.88  (step @p1457 :rule cong :premises (@p1456) :args (@t121))
% 0.42/0.88  (step @p1458 :rule refl :args (tptp.lamnotap))
% 0.42/0.88  (step @p1459 :rule cong :premises (@p1458 @p1457) :args (@t122))
% 0.42/0.88  (step @p1460 :rule eq_resolve :premises (@p20 @p1459))
% 0.42/0.88  (step @p1461 :rule cong :premises (@p1460 @p1449) :args (@t287))
% 0.42/0.88  (step @p1462 :rule refl :args (@t427))
% 0.42/0.88  (step @p1463 :rule refl :args (@t113))
% 0.42/0.88  (step @p1464 :rule cong :premises (@p1463 @p1462) :args ((= @t113 @t427)))
% 0.42/0.88  (step @p1465 :rule symm :premises (@p1464))
% 0.42/0.88  (step @p1466 :rule eq_resolve :premises (@p1463 @p1465))
% 0.42/0.88  (step @p1467 :rule refl :args (@t428))
% 0.42/0.88  (step @p1468 :rule refl :args (@t78))
% 0.42/0.88  (step @p1469 :rule cong :premises (@p1468 @p1467) :args ((= @t78 @t428)))
% 0.42/0.88  (step @p1470 :rule symm :premises (@p1469))
% 0.42/0.88  (step @p1471 :rule eq_resolve :premises (@p1468 @p1470))
% 0.42/0.88  (step @p1472 :rule cong :premises (@p1471 @p1466) :args (@t114))
% 0.42/0.88  (step @p1473 :rule cong :premises (@p1472) :args (@t859))
% 0.42/0.88  (step @p1474 :rule nary_cong :premises (@p1473 @p219) :args (@t860))
% 0.42/0.88  (step @p1475 :rule cong :premises (@p1474) :args ((forall @t110 @t860)))
% 0.42/0.88  (step @p1476 :rule bool-impl-elim :args (@t114 @t95))
% 0.42/0.88  (step @p1477 :rule cong :premises (@p1476) :args (@t115))
% 0.42/0.88  (step @p1478 :rule trans :premises (@p1477 @p1475))
% 0.42/0.88  (step @p1479 :rule refl :args (tptp.shinj))
% 0.42/0.88  (step @p1480 :rule cong :premises (@p1479 @p1478) :args (@t116))
% 0.42/0.88  (step @p1481 :rule eq_resolve :premises (@p19 @p1480))
% 0.42/0.88  (step @p1482 :rule cong :premises (@p1481 @p1461) :args (@t288))
% 0.42/0.88  (step @p1483 :rule refl :args (@t430))
% 0.42/0.88  (step @p1484 :rule refl :args (@t108))
% 0.42/0.88  (step @p1485 :rule cong :premises (@p1484 @p1483) :args ((= @t108 @t430)))
% 0.42/0.88  (step @p1486 :rule symm :premises (@p1485))
% 0.42/0.88  (step @p1487 :rule eq_resolve :premises (@p1484 @p1486))
% 0.42/0.88  (step @p1488 :rule cong :premises (@p1155 @p1487) :args (@t109))
% 0.42/0.88  (step @p1489 :rule cong :premises (@p1488) :args (@t861))
% 0.42/0.88  (step @p1490 :rule nary_cong :premises (@p1489 @p219) :args (@t862))
% 0.42/0.88  (step @p1491 :rule cong :premises (@p1490) :args ((forall @t110 @t862)))
% 0.42/0.88  (step @p1492 :rule bool-impl-elim :args (@t109 @t95))
% 0.42/0.88  (step @p1493 :rule cong :premises (@p1492) :args (@t111))
% 0.42/0.88  (step @p1494 :rule trans :premises (@p1493 @p1491))
% 0.42/0.88  (step @p1495 :rule refl :args (tptp.laminj))
% 0.42/0.88  (step @p1496 :rule cong :premises (@p1495 @p1494) :args (@t112))
% 0.42/0.88  (step @p1497 :rule eq_resolve :premises (@p18 @p1496))
% 0.42/0.88  (step @p1498 :rule cong :premises (@p1497 @p1482) :args (@t289))
% 0.42/0.88  (step @p1499 :rule refl :args (@t432))
% 0.42/0.88  (step @p1500 :rule refl :args (@t98))
% 0.42/0.88  (step @p1501 :rule cong :premises (@p1500 @p1499) :args ((= @t98 @t432)))
% 0.42/0.88  (step @p1502 :rule symm :premises (@p1501))
% 0.42/0.88  (step @p1503 :rule eq_resolve :premises (@p1500 @p1502))
% 0.42/0.88  (step @p1504 :rule refl :args (@t433))
% 0.42/0.88  (step @p1505 :rule refl :args (@t100))
% 0.42/0.88  (step @p1506 :rule cong :premises (@p1505 @p1504) :args ((= @t100 @t433)))
% 0.42/0.88  (step @p1507 :rule symm :premises (@p1506))
% 0.42/0.88  (step @p1508 :rule eq_resolve :premises (@p1505 @p1507))
% 0.42/0.88  (step @p1509 :rule cong :premises (@p1508 @p1503) :args (@t101))
% 0.42/0.88  (step @p1510 :rule cong :premises (@p1509) :args (@t863))
% 0.42/0.88  (step @p1511 :rule nary_cong :premises (@p1510 @p202) :args (@t864))
% 0.42/0.88  (step @p1512 :rule cong :premises (@p1511) :args ((forall @t102 @t864)))
% 0.42/0.88  (step @p1513 :rule bool-impl-elim :args (@t101 @t105))
% 0.42/0.88  (step @p1514 :rule cong :premises (@p1513) :args (@t106))
% 0.42/0.88  (step @p1515 :rule trans :premises (@p1514 @p1512))
% 0.42/0.88  (step @p1516 :rule refl :args (tptp.apinj2))
% 0.42/0.88  (step @p1517 :rule cong :premises (@p1516 @p1515) :args (@t107))
% 0.42/0.88  (step @p1518 :rule eq_resolve :premises (@p17 @p1517))
% 0.42/0.88  (step @p1519 :rule cong :premises (@p1518 @p1498) :args (@t290))
% 0.42/0.88  (step @p1520 :rule nary_cong :premises (@p1510 @p219) :args (@t865))
% 0.42/0.88  (step @p1521 :rule cong :premises (@p1520) :args ((forall @t102 @t865)))
% 0.42/0.88  (step @p1522 :rule bool-impl-elim :args (@t101 @t95))
% 0.42/0.88  (step @p1523 :rule cong :premises (@p1522) :args (@t103))
% 0.42/0.88  (step @p1524 :rule trans :premises (@p1523 @p1521))
% 0.42/0.88  (step @p1525 :rule refl :args (tptp.apinj1))
% 0.42/0.88  (step @p1526 :rule cong :premises (@p1525 @p1524) :args (@t104))
% 0.42/0.88  (step @p1527 :rule eq_resolve :premises (@p16 @p1526))
% 0.42/0.88  (step @p1528 :rule cong :premises (@p1527 @p1519) :args (@t291))
% 0.42/0.88  (step @p1529 :rule aci_norm :args ((= @t867 @t445)))
% 0.42/0.88  (step @p1530 :rule cong :premises (@p1529) :args (@t868))
% 0.42/0.88  (step @p1531 :rule quant-merge-prenex :args ((= (forall @t92 @t870) @t868)))
% 0.42/0.88  (step @p1532 :rule alpha_equiv :args (@t871 (@list @t437) @t678))
% 0.42/0.88  (step @p1533 :rule refl :args (@t442))
% 0.42/0.88  (step @p1534 :rule refl :args (@t444))
% 0.42/0.88  (step @p1535 :rule nary_cong :premises (@p1534 @p1533 @p1532) :args (@t872))
% 0.42/0.88  (step @p1536 :rule quant-miniscope-or :args ((= @t870 @t872)))
% 0.42/0.88  (step @p1537 :rule trans :premises (@p1536 @p1535))
% 0.42/0.88  (step @p1538 :rule symm :premises (@p1537))
% 0.42/0.88  (step @p1539 :rule cong :premises (@p1538) :args ((forall @t92 (or @t444 @t442 @t394))))
% 0.42/0.88  (step @p1540 :rule trans :premises (@p1539 @p1531))
% 0.42/0.88  (step @p1541 :rule trans :premises (@p1540 @p1530))
% 0.42/0.88  (step @p1542 :rule refl :args (@t394))
% 0.42/0.88  (step @p1543 :rule refl :args (@t443))
% 0.42/0.88  (step @p1544 :rule refl :args (@t90))
% 0.42/0.88  (step @p1545 :rule cong :premises (@p1544 @p1543) :args ((= @t90 @t443)))
% 0.42/0.88  (step @p1546 :rule symm :premises (@p1545))
% 0.42/0.88  (step @p1547 :rule eq_resolve :premises (@p1544 @p1546))
% 0.42/0.88  (step @p1548 :rule cong :premises (@p1547) :args (@t873))
% 0.42/0.88  (step @p1549 :rule nary_cong :premises (@p1548 @p1533 @p1542) :args (@t874))
% 0.42/0.88  (step @p1550 :rule cong :premises (@p1549) :args ((forall @t92 @t874)))
% 0.42/0.88  (step @p1551 :rule trans :premises (@p1550 @p1541))
% 0.42/0.88  (step @p1552 :rule aci_norm :args ((= (or @t873 (or @t442 @t394)) @t874)))
% 0.42/0.88  (step @p1553 :rule bool-impl-elim :args (@t441 @t394))
% 0.42/0.88  (step @p1554 :rule refl :args (@t873))
% 0.42/0.88  (step @p1555 :rule nary_cong :premises (@p1554 @p1553) :args ((or @t873 @t875)))
% 0.42/0.88  (step @p1556 :rule trans :premises (@p1555 @p1552))
% 0.42/0.88  (step @p1557 :rule bool-impl-elim :args (@t90 @t875))
% 0.42/0.88  (step @p1558 :rule trans :premises (@p1557 @p1556))
% 0.42/0.88  (step @p1559 :rule cong :premises (@p1558) :args ((forall @t92 (=> @t90 @t875))))
% 0.42/0.88  (step @p1560 :rule trans :premises (@p1559 @p1551))
% 0.42/0.88  (step @p1561 :rule refl :args ((_ @t83 @t78)))
% 0.42/0.88  (step @p1562 :rule cong :premises (@p1467) :args (@t440))
% 0.42/0.88  (step @p1563 :rule trans :premises (@p1562 @p1561))
% 0.42/0.88  (step @p1564 :rule ho_cong :premises (@p1146 @p1467))
% 0.42/0.88  (step @p1565 :rule cong :premises (@p1564 @p1563) :args ((= (_ @t83 @t428) @t440)))
% 0.42/0.88  (step @p1566 :rule symm :premises (@p1565))
% 0.42/0.88  (step @p1567 :rule refl :args (@t86))
% 0.42/0.88  (step @p1568 :rule eq_resolve :premises (@p1567 @p1566))
% 0.42/0.88  (step @p1569 :rule ho_cong :premises (@p1146 @p1471))
% 0.42/0.88  (step @p1570 :rule trans :premises (@p1569 @p1568))
% 0.42/0.88  (step @p1571 :rule nary_cong :premises (@p459 @p1220 @p1570) :args (@t876))
% 0.42/0.88  (step @p1572 :rule cong :premises (@p1571) :args ((forall @t23 @t876)))
% 0.42/0.88  (step @p1573 :rule aci_norm :args ((= (or @t685 (or @t820 @t86)) @t876)))
% 0.42/0.88  (step @p1574 :rule bool-impl-elim :args (@t84 @t86))
% 0.42/0.88  (step @p1575 :rule refl :args (@t685))
% 0.42/0.88  (step @p1576 :rule nary_cong :premises (@p1575 @p1574) :args ((or @t685 @t87)))
% 0.42/0.88  (step @p1577 :rule trans :premises (@p1576 @p1573))
% 0.42/0.88  (step @p1578 :rule bool-impl-elim :args (@t80 @t87))
% 0.42/0.88  (step @p1579 :rule trans :premises (@p1578 @p1577))
% 0.42/0.88  (step @p1580 :rule cong :premises (@p1579) :args (@t88))
% 0.42/0.88  (step @p1581 :rule trans :premises (@p1580 @p1572))
% 0.42/0.88  (step @p1582 :rule cong :premises (@p1581 @p1237) :args (@t89))
% 0.42/0.88  (step @p1583 :rule refl :args (@t90))
% 0.42/0.88  (step @p1584 :rule cong :premises (@p1583 @p1582) :args (@t91))
% 0.42/0.88  (step @p1585 :rule cong :premises (@p1584) :args (@t93))
% 0.42/0.88  (step @p1586 :rule trans :premises (@p1585 @p1560))
% 0.42/0.88  (step @p1587 :rule refl :args (tptp.ulamvarind))
% 0.42/0.88  (step @p1588 :rule cong :premises (@p1587 @p1586) :args (@t94))
% 0.42/0.88  (step @p1589 :rule eq_resolve :premises (@p15 @p1588))
% 0.42/0.88  (step @p1590 :rule cong :premises (@p1589 @p1528) :args (@t292))
% 0.42/0.88  (step @p1591 :rule refl :args ((tptp.var @t78)))
% 0.42/0.88  (step @p1592 :rule cong :premises (@p1467) :args (@t448))
% 0.42/0.88  (step @p1593 :rule trans :premises (@p1592 @p1591))
% 0.42/0.88  (step @p1594 :rule ho_cong :premises (@p469 @p1467))
% 0.42/0.88  (step @p1595 :rule cong :premises (@p1594 @p1593) :args ((= (_ tptp.var @t428) @t448)))
% 0.42/0.88  (step @p1596 :rule symm :premises (@p1595))
% 0.42/0.88  (step @p1597 :rule refl :args (@t79))
% 0.42/0.88  (step @p1598 :rule eq_resolve :premises (@p1597 @p1596))
% 0.42/0.88  (step @p1599 :rule ho_cong :premises (@p469 @p1471))
% 0.42/0.88  (step @p1600 :rule trans :premises (@p1599 @p1598))
% 0.42/0.88  (step @p1601 :rule nary_cong :premises (@p459 @p1600) :args (@t877))
% 0.42/0.88  (step @p1602 :rule cong :premises (@p1601) :args ((forall @t23 @t877)))
% 0.42/0.88  (step @p1603 :rule bool-impl-elim :args (@t80 @t79))
% 0.42/0.88  (step @p1604 :rule cong :premises (@p1603) :args (@t81))
% 0.42/0.88  (step @p1605 :rule trans :premises (@p1604 @p1602))
% 0.42/0.88  (step @p1606 :rule refl :args (tptp.ulamvarsh))
% 0.42/0.88  (step @p1607 :rule cong :premises (@p1606 @p1605) :args (@t82))
% 0.42/0.88  (step @p1608 :rule eq_resolve :premises (@p14 @p1607))
% 0.42/0.88  (step @p1609 :rule cong :premises (@p1608 @p1590) :args (@t293))
% 0.42/0.88  (step @p1610 :rule cong :premises (@p13 @p1609) :args (@t294))
% 0.42/0.88  (step @p1611 :rule refl :args ((tptp.push @t73 @t72)))
% 0.42/0.88  (step @p1612 :rule refl :args (@t453))
% 0.42/0.88  (step @p1613 :rule refl :args (@t454))
% 0.42/0.88  (step @p1614 :rule cong :premises (@p1613 @p1612) :args (@t455))
% 0.42/0.88  (step @p1615 :rule trans :premises (@p1614 @p1611))
% 0.42/0.88  (step @p1616 :rule refl :args (tptp.push))
% 0.42/0.88  (step @p1617 :rule ho_cong :premises (@p1616 @p1613))
% 0.42/0.88  (step @p1618 :rule ho_cong :premises (@p1617 @p1612))
% 0.42/0.88  (step @p1619 :rule cong :premises (@p1618 @p1615) :args ((= (_ (_ tptp.push @t454) @t453) @t455)))
% 0.42/0.88  (step @p1620 :rule symm :premises (@p1619))
% 0.42/0.88  (step @p1621 :rule refl :args (@t74))
% 0.42/0.88  (step @p1622 :rule eq_resolve :premises (@p1621 @p1620))
% 0.42/0.88  (step @p1623 :rule refl :args (@t72))
% 0.42/0.88  (step @p1624 :rule cong :premises (@p1623 @p1612) :args ((= @t72 @t453)))
% 0.42/0.88  (step @p1625 :rule symm :premises (@p1624))
% 0.42/0.88  (step @p1626 :rule eq_resolve :premises (@p1623 @p1625))
% 0.42/0.88  (step @p1627 :rule refl :args (@t73))
% 0.42/0.88  (step @p1628 :rule cong :premises (@p1627 @p1613) :args ((= @t73 @t454)))
% 0.42/0.88  (step @p1629 :rule symm :premises (@p1628))
% 0.42/0.88  (step @p1630 :rule eq_resolve :premises (@p1627 @p1629))
% 0.42/0.88  (step @p1631 :rule ho_cong :premises (@p1616 @p1630))
% 0.42/0.88  (step @p1632 :rule ho_cong :premises (@p1631 @p1626))
% 0.42/0.88  (step @p1633 :rule trans :premises (@p1632 @p1622))
% 0.42/0.88  (step @p1634 :rule cong :premises (@p231 @p1633) :args (@t878))
% 0.42/0.88  (step @p1635 :rule cong :premises (@p1634) :args ((forall @t46 @t878)))
% 0.42/0.88  (step @p1636 :rule eq-symm :args (@t74 @t1))
% 0.42/0.88  (step @p1637 :rule cong :premises (@p1636) :args (@t75))
% 0.42/0.88  (step @p1638 :rule trans :premises (@p1637 @p1635))
% 0.42/0.88  (step @p1639 :rule refl :args (tptp.axscons))
% 0.42/0.88  (step @p1640 :rule cong :premises (@p1639 @p1638) :args (@t76))
% 0.42/0.88  (step @p1641 :rule eq_resolve :premises (@p12 @p1640))
% 0.42/0.88  (step @p1642 :rule cong :premises (@p1641 @p1610) :args (@t295))
% 0.42/0.88  (step @p1643 :rule cong :premises (@p304 @p1642) :args (@t296))
% 0.42/0.88  (step @p1644 :rule refl :args (tptp.axidr))
% 0.42/0.88  (step @p1645 :rule cong :premises (@p1644 @p1064) :args (@t69))
% 0.42/0.88  (step @p1646 :rule eq_resolve :premises (@p10 @p1645))
% 0.42/0.88  (step @p1647 :rule cong :premises (@p1646 @p1643) :args (@t297))
% 0.42/0.88  (step @p1648 :rule refl :args ((tptp.push @t61 @t38)))
% 0.42/0.88  (step @p1649 :rule cong :premises (@p712 @p713) :args (@t459))
% 0.42/0.88  (step @p1650 :rule trans :premises (@p1649 @p1648))
% 0.42/0.88  (step @p1651 :rule ho_cong :premises (@p1616 @p712))
% 0.42/0.88  (step @p1652 :rule ho_cong :premises (@p1651 @p713))
% 0.42/0.88  (step @p1653 :rule cong :premises (@p1652 @p1650) :args ((= (_ (_ tptp.push @t348) @t349) @t459)))
% 0.42/0.88  (step @p1654 :rule symm :premises (@p1653))
% 0.42/0.88  (step @p1655 :rule refl :args (@t62))
% 0.42/0.88  (step @p1656 :rule eq_resolve :premises (@p1655 @p1654))
% 0.42/0.88  (step @p1657 :rule ho_cong :premises (@p1616 @p726))
% 0.42/0.88  (step @p1658 :rule ho_cong :premises (@p1657 @p730))
% 0.42/0.88  (step @p1659 :rule trans :premises (@p1658 @p1656))
% 0.42/0.88  (step @p1660 :rule refl :args ((tptp.comp @t16 @t37)))
% 0.42/0.88  (step @p1661 :rule cong :premises (@p1344 @p517) :args (@t460))
% 0.42/0.88  (step @p1662 :rule trans :premises (@p1661 @p1660))
% 0.42/0.88  (step @p1663 :rule ho_cong :premises (@p1095 @p1344))
% 0.42/0.88  (step @p1664 :rule ho_cong :premises (@p1663 @p517))
% 0.42/0.88  (step @p1665 :rule cong :premises (@p1664 @p1662) :args ((= (_ (_ tptp.comp @t404) @t37) @t460)))
% 0.42/0.88  (step @p1666 :rule symm :premises (@p1665))
% 0.42/0.88  (step @p1667 :rule refl :args (@t63))
% 0.42/0.88  (step @p1668 :rule eq_resolve :premises (@p1667 @p1666))
% 0.42/0.88  (step @p1669 :rule ho_cong :premises (@p1095 @p1363))
% 0.42/0.88  (step @p1670 :rule ho_cong :premises (@p1669 @p517))
% 0.42/0.88  (step @p1671 :rule trans :premises (@p1670 @p1668))
% 0.42/0.88  (step @p1672 :rule cong :premises (@p1671 @p1659) :args (@t64))
% 0.42/0.88  (step @p1673 :rule cong :premises (@p1672) :args (@t65))
% 0.42/0.88  (step @p1674 :rule refl :args (tptp.axmap))
% 0.42/0.88  (step @p1675 :rule cong :premises (@p1674 @p1673) :args (@t66))
% 0.42/0.88  (step @p1676 :rule eq_resolve :premises (@p9 @p1675))
% 0.42/0.88  (step @p1677 :rule cong :premises (@p1676 @p1647) :args (@t298))
% 0.42/0.88  (step @p1678 :rule refl :args (tptp.axassoc))
% 0.42/0.88  (step @p1679 :rule cong :premises (@p1678 @p1106) :args (@t60))
% 0.42/0.88  (step @p1680 :rule eq_resolve :premises (@p8 @p1679))
% 0.42/0.88  (step @p1681 :rule cong :premises (@p1680 @p1677) :args (@t299))
% 0.42/0.88  (step @p1682 :rule refl :args ((tptp.comp tptp.sh @t16)))
% 0.42/0.88  (step @p1683 :rule refl :args (tptp.sh))
% 0.42/0.88  (step @p1684 :rule cong :premises (@p1683 @p1344) :args (@t464))
% 0.42/0.88  (step @p1685 :rule trans :premises (@p1684 @p1682))
% 0.42/0.88  (step @p1686 :rule refl :args (@t49))
% 0.42/0.88  (step @p1687 :rule ho_cong :premises (@p1686 @p1344))
% 0.42/0.88  (step @p1688 :rule cong :premises (@p1687 @p1685) :args ((= (_ @t49 @t404) @t464)))
% 0.42/0.88  (step @p1689 :rule symm :premises (@p1688))
% 0.42/0.88  (step @p1690 :rule refl :args (@t50))
% 0.42/0.88  (step @p1691 :rule eq_resolve :premises (@p1690 @p1689))
% 0.42/0.88  (step @p1692 :rule ho_cong :premises (@p1686 @p1363))
% 0.42/0.88  (step @p1693 :rule trans :premises (@p1692 @p1691))
% 0.42/0.88  (step @p1694 :rule cong :premises (@p231 @p1693) :args (@t879))
% 0.42/0.88  (step @p1695 :rule cong :premises (@p1694) :args ((forall @t19 @t879)))
% 0.42/0.88  (step @p1696 :rule eq-symm :args (@t50 @t1))
% 0.42/0.88  (step @p1697 :rule cong :premises (@p1696) :args (@t51))
% 0.42/0.88  (step @p1698 :rule trans :premises (@p1697 @p1695))
% 0.42/0.88  (step @p1699 :rule refl :args (tptp.axshiftcons))
% 0.42/0.88  (step @p1700 :rule cong :premises (@p1699 @p1698) :args (@t52))
% 0.42/0.88  (step @p1701 :rule eq_resolve :premises (@p7 @p1700))
% 0.42/0.88  (step @p1702 :rule cong :premises (@p1701 @p1681) :args (@t300))
% 0.42/0.88  (step @p1703 :rule refl :args (tptp.axidl))
% 0.42/0.88  (step @p1704 :rule cong :premises (@p1703 @p1074) :args (@t48))
% 0.42/0.88  (step @p1705 :rule eq_resolve :premises (@p6 @p1704))
% 0.42/0.88  (step @p1706 :rule cong :premises (@p1705 @p1702) :args (@t301))
% 0.42/0.88  (step @p1707 :rule refl :args (tptp.axclos))
% 0.42/0.88  (step @p1708 :rule cong :premises (@p1707 @p1049) :args (@t44))
% 0.42/0.88  (step @p1709 :rule eq_resolve :premises (@p5 @p1708))
% 0.42/0.88  (step @p1710 :rule cong :premises (@p1709 @p1706) :args (@t302))
% 0.42/0.88  (step @p1711 :rule refl :args ((tptp.lam @t30)))
% 0.42/0.88  (step @p1712 :rule refl :args ((tptp.sub @t5 @t29)))
% 0.42/0.88  (step @p1713 :rule refl :args ((tptp.push tptp.one @t27)))
% 0.42/0.88  (step @p1714 :rule refl :args (@t469))
% 0.42/0.88  (step @p1715 :rule refl :args (tptp.one))
% 0.42/0.88  (step @p1716 :rule cong :premises (@p1715 @p1714) :args (@t470))
% 0.42/0.88  (step @p1717 :rule trans :premises (@p1716 @p1713))
% 0.42/0.88  (step @p1718 :rule cong :premises (@p163 @p1717) :args (@t471))
% 0.42/0.88  (step @p1719 :rule trans :premises (@p1718 @p1712))
% 0.42/0.88  (step @p1720 :rule cong :premises (@p1719) :args (@t472))
% 0.42/0.88  (step @p1721 :rule trans :premises (@p1720 @p1711))
% 0.42/0.88  (step @p1722 :rule ho_cong :premises (@p668 @p1719))
% 0.42/0.88  (step @p1723 :rule cong :premises (@p1722 @p1721) :args ((= (_ tptp.lam @t471) @t472)))
% 0.42/0.88  (step @p1724 :rule symm :premises (@p1723))
% 0.42/0.88  (step @p1725 :rule refl :args (@t31))
% 0.42/0.88  (step @p1726 :rule eq_resolve :premises (@p1725 @p1724))
% 0.42/0.88  (step @p1727 :rule ho_cong :premises (@p1023 @p1717))
% 0.42/0.88  (step @p1728 :rule cong :premises (@p1727 @p1719) :args ((= (_ @t6 @t470) @t471)))
% 0.42/0.88  (step @p1729 :rule symm :premises (@p1728))
% 0.42/0.88  (step @p1730 :rule refl :args (@t30))
% 0.42/0.88  (step @p1731 :rule eq_resolve :premises (@p1730 @p1729))
% 0.42/0.88  (step @p1732 :rule refl :args (@t28))
% 0.42/0.88  (step @p1733 :rule ho_cong :premises (@p1732 @p1714))
% 0.42/0.88  (step @p1734 :rule cong :premises (@p1733 @p1717) :args ((= (_ @t28 @t469) @t470)))
% 0.42/0.88  (step @p1735 :rule symm :premises (@p1734))
% 0.42/0.88  (step @p1736 :rule refl :args (@t29))
% 0.42/0.88  (step @p1737 :rule eq_resolve :premises (@p1736 @p1735))
% 0.42/0.88  (step @p1738 :rule refl :args (@t27))
% 0.42/0.88  (step @p1739 :rule cong :premises (@p1738 @p1714) :args ((= @t27 @t469)))
% 0.42/0.88  (step @p1740 :rule symm :premises (@p1739))
% 0.42/0.88  (step @p1741 :rule eq_resolve :premises (@p1738 @p1740))
% 0.42/0.88  (step @p1742 :rule ho_cong :premises (@p1732 @p1741))
% 0.42/0.88  (step @p1743 :rule trans :premises (@p1742 @p1737))
% 0.42/0.88  (step @p1744 :rule ho_cong :premises (@p1023 @p1743))
% 0.42/0.88  (step @p1745 :rule trans :premises (@p1744 @p1731))
% 0.42/0.88  (step @p1746 :rule ho_cong :premises (@p668 @p1745))
% 0.42/0.88  (step @p1747 :rule trans :premises (@p1746 @p1726))
% 0.42/0.88  (step @p1748 :rule refl :args ((tptp.sub @t32 @t1)))
% 0.42/0.88  (step @p1749 :rule cong :premises (@p1143 @p231) :args (@t473))
% 0.42/0.88  (step @p1750 :rule trans :premises (@p1749 @p1748))
% 0.42/0.88  (step @p1751 :rule ho_cong :premises (@p590 @p1143))
% 0.42/0.88  (step @p1752 :rule ho_cong :premises (@p1751 @p231))
% 0.42/0.88  (step @p1753 :rule cong :premises (@p1752 @p1750) :args ((= (_ (_ tptp.sub @t381) @t1) @t473)))
% 0.42/0.88  (step @p1754 :rule symm :premises (@p1753))
% 0.42/0.88  (step @p1755 :rule refl :args (@t33))
% 0.42/0.88  (step @p1756 :rule eq_resolve :premises (@p1755 @p1754))
% 0.42/0.88  (step @p1757 :rule ho_cong :premises (@p590 @p1155))
% 0.42/0.88  (step @p1758 :rule ho_cong :premises (@p1757 @p231))
% 0.42/0.88  (step @p1759 :rule trans :premises (@p1758 @p1756))
% 0.42/0.88  (step @p1760 :rule cong :premises (@p1759 @p1747) :args (@t34))
% 0.42/0.88  (step @p1761 :rule cong :premises (@p1760) :args (@t35))
% 0.42/0.88  (step @p1762 :rule refl :args (tptp.axabs))
% 0.42/0.88  (step @p1763 :rule cong :premises (@p1762 @p1761) :args (@t36))
% 0.42/0.88  (step @p1764 :rule eq_resolve :premises (@p4 @p1763))
% 0.42/0.88  (step @p1765 :rule cong :premises (@p1764 @p1710) :args (@t303))
% 0.42/0.88  (step @p1766 :rule refl :args (tptp.axvarid))
% 0.42/0.88  (step @p1767 :rule cong :premises (@p1766 @p1019) :args (@t25))
% 0.42/0.88  (step @p1768 :rule eq_resolve :premises (@p3 @p1767))
% 0.42/0.88  (step @p1769 :rule cong :premises (@p1768 @p1765) :args (@t304))
% 0.42/0.88  (step @p1770 :rule refl :args ((tptp.sub tptp.one @t16)))
% 0.42/0.88  (step @p1771 :rule cong :premises (@p1715 @p1344) :args (@t477))
% 0.42/0.88  (step @p1772 :rule trans :premises (@p1771 @p1770))
% 0.42/0.88  (step @p1773 :rule refl :args (@t17))
% 0.42/0.88  (step @p1774 :rule ho_cong :premises (@p1773 @p1344))
% 0.42/0.88  (step @p1775 :rule cong :premises (@p1774 @p1772) :args ((= (_ @t17 @t404) @t477)))
% 0.42/0.88  (step @p1776 :rule symm :premises (@p1775))
% 0.42/0.88  (step @p1777 :rule refl :args (@t18))
% 0.42/0.88  (step @p1778 :rule eq_resolve :premises (@p1777 @p1776))
% 0.42/0.88  (step @p1779 :rule ho_cong :premises (@p1773 @p1363))
% 0.42/0.88  (step @p1780 :rule trans :premises (@p1779 @p1778))
% 0.42/0.88  (step @p1781 :rule cong :premises (@p163 @p1780) :args (@t880))
% 0.42/0.88  (step @p1782 :rule cong :premises (@p1781) :args ((forall @t19 @t880)))
% 0.42/0.88  (step @p1783 :rule eq-symm :args (@t18 @t5))
% 0.42/0.88  (step @p1784 :rule cong :premises (@p1783) :args (@t20))
% 0.42/0.88  (step @p1785 :rule trans :premises (@p1784 @p1782))
% 0.42/0.88  (step @p1786 :rule refl :args (tptp.axvarcons))
% 0.42/0.88  (step @p1787 :rule cong :premises (@p1786 @p1785) :args (@t21))
% 0.42/0.88  (step @p1788 :rule eq_resolve :premises (@p2 @p1787))
% 0.42/0.88  (step @p1789 :rule cong :premises (@p1788 @p1769) :args (@t305))
% 0.42/0.88  (step @p1790 :rule refl :args ((tptp.ap @t7 @t4)))
% 0.42/0.88  (step @p1791 :rule cong :premises (@p1032 @p1282) :args (@t480))
% 0.42/0.88  (step @p1792 :rule trans :premises (@p1791 @p1790))
% 0.42/0.88  (step @p1793 :rule ho_cong :premises (@p597 @p1032))
% 0.42/0.88  (step @p1794 :rule ho_cong :premises (@p1793 @p1282))
% 0.42/0.88  (step @p1795 :rule cong :premises (@p1794 @p1792) :args ((= (_ (_ tptp.ap @t370) @t408) @t480)))
% 0.42/0.88  (step @p1796 :rule symm :premises (@p1795))
% 0.42/0.88  (step @p1797 :rule refl :args (@t8))
% 0.42/0.88  (step @p1798 :rule eq_resolve :premises (@p1797 @p1796))
% 0.42/0.88  (step @p1799 :rule ho_cong :premises (@p597 @p1044))
% 0.42/0.88  (step @p1800 :rule ho_cong :premises (@p1799 @p1293))
% 0.42/0.88  (step @p1801 :rule trans :premises (@p1800 @p1798))
% 0.42/0.88  (step @p1802 :rule refl :args ((tptp.sub @t10 @t1)))
% 0.42/0.88  (step @p1803 :rule cong :premises (@p1206 @p231) :args (@t481))
% 0.42/0.88  (step @p1804 :rule trans :premises (@p1803 @p1802))
% 0.42/0.88  (step @p1805 :rule ho_cong :premises (@p590 @p1206))
% 0.42/0.88  (step @p1806 :rule ho_cong :premises (@p1805 @p231))
% 0.42/0.88  (step @p1807 :rule cong :premises (@p1806 @p1804) :args ((= (_ (_ tptp.sub @t386) @t1) @t481)))
% 0.42/0.88  (step @p1808 :rule symm :premises (@p1807))
% 0.42/0.88  (step @p1809 :rule refl :args (@t11))
% 0.42/0.88  (step @p1810 :rule eq_resolve :premises (@p1809 @p1808))
% 0.42/0.88  (step @p1811 :rule ho_cong :premises (@p590 @p1217))
% 0.42/0.88  (step @p1812 :rule ho_cong :premises (@p1811 @p231))
% 0.42/0.88  (step @p1813 :rule trans :premises (@p1812 @p1810))
% 0.42/0.88  (step @p1814 :rule cong :premises (@p1813 @p1801) :args (@t12))
% 0.42/0.88  (step @p1815 :rule cong :premises (@p1814) :args (@t14))
% 0.42/0.88  (step @p1816 :rule refl :args (tptp.axapp))
% 0.42/0.88  (step @p1817 :rule cong :premises (@p1816 @p1815) :args (@t15))
% 0.42/0.88  (step @p1818 :rule eq_resolve :premises (@p1 @p1817))
% 0.42/0.88  (step @p1819 :rule cong :premises (@p1818 @p1789) :args (@t306))
% 0.42/0.88  (step @p1820 :rule refl :args (tptp.hoasinduction_lem1_gthm))
% 0.42/0.88  (step @p1821 :rule cong :premises (@p1820 @p1819) :args (@t307))
% 0.42/0.88  (step @p1822 :rule eq_resolve :premises (@p86 @p1821))
% 0.42/0.88  (step @p1823 :rule trans :premises (@p1822 @p423))
% 0.42/0.88  (step @p1824 :rule cong :premises (@p1823) :args (@t316))
% 0.42/0.88  (step @p1825 :rule trans :premises (@p1824 @p300))
% 0.42/0.88  (step @p1826 :rule trans :premises (@p1825 @p146))
% 0.42/0.88  (step @p1827 :rule eq_resolve :premises (@p109 @p1826))
% 0.42/0.88  (step @p1828 :rule not_implies_elim2 :premises (@p1827))
% 0.42/0.88  (step @p1829 :rule not_implies_elim2 :premises (@p1828))
% 0.42/0.88  (step @p1830 :rule not_implies_elim2 :premises (@p1829))
% 0.42/0.88  (step @p1831 :rule not_implies_elim2 :premises (@p1830))
% 0.42/0.88  (step @p1832 :rule not_implies_elim2 :premises (@p1831))
% 0.42/0.88  (step @p1833 :rule not_implies_elim2 :premises (@p1832))
% 0.42/0.88  (step @p1834 :rule not_implies_elim2 :premises (@p1833))
% 0.42/0.88  (step @p1835 :rule not_implies_elim2 :premises (@p1834))
% 0.42/0.88  (step @p1836 :rule not_implies_elim2 :premises (@p1835))
% 0.42/0.88  (step @p1837 :rule not_implies_elim2 :premises (@p1836))
% 0.42/0.88  (step @p1838 :rule not_implies_elim2 :premises (@p1837))
% 0.42/0.88  (step @p1839 :rule not_implies_elim2 :premises (@p1838))
% 0.42/0.88  (step @p1840 :rule not_implies_elim2 :premises (@p1839))
% 0.42/0.88  (step @p1841 :rule not_implies_elim2 :premises (@p1840))
% 0.42/0.88  (step @p1842 :rule not_implies_elim2 :premises (@p1841))
% 0.42/0.88  (step @p1843 :rule not_implies_elim2 :premises (@p1842))
% 0.42/0.88  (step @p1844 :rule not_implies_elim2 :premises (@p1843))
% 0.42/0.88  (step @p1845 :rule not_implies_elim2 :premises (@p1844))
% 0.42/0.88  (step @p1846 :rule not_implies_elim2 :premises (@p1845))
% 0.42/0.88  (step @p1847 :rule not_implies_elim2 :premises (@p1846))
% 0.42/0.88  (step @p1848 :rule not_implies_elim2 :premises (@p1847))
% 0.42/0.88  (step @p1849 :rule not_implies_elim2 :premises (@p1848))
% 0.42/0.88  (step @p1850 :rule not_implies_elim2 :premises (@p1849))
% 0.42/0.88  (step @p1851 :rule not_implies_elim2 :premises (@p1850))
% 0.42/0.88  (step @p1852 :rule not_implies_elim2 :premises (@p1851))
% 0.42/0.88  (step @p1853 :rule not_implies_elim2 :premises (@p1852))
% 0.42/0.88  (step @p1854 :rule not_implies_elim2 :premises (@p1853))
% 0.42/0.88  (step @p1855 :rule not_implies_elim2 :premises (@p1854))
% 0.42/0.88  (step @p1856 :rule not_implies_elim2 :premises (@p1855))
% 0.42/0.88  (step @p1857 :rule not_implies_elim2 :premises (@p1856))
% 0.42/0.88  (step @p1858 :rule not_implies_elim2 :premises (@p1857))
% 0.42/0.88  (step @p1859 :rule not_implies_elim2 :premises (@p1858))
% 0.42/0.88  (step @p1860 :rule not_implies_elim2 :premises (@p1859))
% 0.42/0.88  (step @p1861 :rule skolemize :premises (@p1860))
% 0.42/0.88  (step @p1862 :rule bool-double-not-elim :args (@t882))
% 0.42/0.88  (step @p1863 :rule refl :args (@t890))
% 0.42/0.88  (step @p1864 :rule nary_cong :premises (@p1863 @p1862) :args ((or @t890 (not @t885))))
% 0.42/0.88  (step @p1865 :rule cnf_or_neg :args (@t890 3))
% 0.42/0.88  (step @p1866 :rule eq_resolve :premises (@p1865 @p1864))
% 0.42/0.88  (step @p1867 :rule reordering :premises (@p1866) :args ((or @t882 @t890)))
% 0.42/0.88  (step @p1868 :rule chain_m_resolution :premises (@p1867 @p1861) :args (@t882 @t891 @t892))
% 0.42/0.88  (step @p1869 :rule true_intro :premises (@p1868))
% 0.42/0.88  (step @p1870 :rule refl :args (@t882))
% 0.42/0.88  (step @p1871 :rule symm :premises (@p1870))
% 0.42/0.88  (step @p1872 :rule not_implies_elim1 :premises (@p1829))
% 0.42/0.88  (step @p1873 :rule instantiate :premises (@p1872) :args (@t893))
% 0.42/0.88  (step @p1874 :rule symm :premises (@p1873))
% 0.42/0.88  (step @p1875 :rule refl :args (tptp.var))
% 0.42/0.88  (step @p1876 :rule ho_cong :premises (@p1875 @p1874))
% 0.42/0.88  (step @p1877 :rule refl :args (@t894))
% 0.42/0.88  (step @p1878 :rule bool-double-not-elim :args (@t886))
% 0.42/0.88  (step @p1879 :rule nary_cong :premises (@p1863 @p1878) :args ((or @t890 (not @t887))))
% 0.42/0.88  (step @p1880 :rule cnf_or_neg :args (@t890 2))
% 0.42/0.88  (step @p1881 :rule eq_resolve :premises (@p1880 @p1879))
% 0.42/0.88  (step @p1882 :rule reordering :premises (@p1881) :args ((or @t886 @t890)))
% 0.42/0.88  (step @p1883 :rule chain_m_resolution :premises (@p1882 @p1861) :args (@t886 @t891 @t892))
% 0.42/0.88  (step @p1884 :rule instantiate :premises (@p1883) :args (@t893))
% 0.42/0.88  (step @p1885 :rule cnf_or_neg :args (@t890 4))
% 0.42/0.88  (step @p1886 :rule chain_m_resolution :premises (@p1885 @p1861) :args ((not @t884) @t891 @t892))
% 0.42/0.88  (step @p1887 :rule cnf_or_pos :args (@t896))
% 0.42/0.88  (step @p1888 :rule reordering :premises (@p1887) :args ((or @t884 @t895 (not @t896))))
% 0.42/0.88  (step @p1889 :rule chain_m_resolution :premises (@p1888 @p1886 @p1884) :args (@t895 (@list true false) (@list @t884 @t896)))
% 0.42/0.88  (step @p1890 :rule false_intro :premises (@p1889))
% 0.42/0.88  (step @p1891 :rule symm :premises (@p1890))
% 0.42/0.88  (step @p1892 :rule trans :premises (@p1891 @p1877 @p1876 @p1871 @p1869))
% 0.42/0.88  (step @p1893 false :rule eq_resolve :premises (@p1892 @p116))
% 0.42/0.88  )
% 0.42/0.88  % SZS output end Proof
% 0.42/0.88  % cvc5 exiting
%------------------------------------------------------------------------------