cvc5---1.3.4.THM-Prf.s

%------------------------------------------------------------------------------
% File     : cvc5---1.3.4
% Problem  : SWX153_1 : TPTP v9.3.0. Released v9.3.0.
% 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 09:07:16 AM UTC 2026

% Result   : Theorem 201.76s 202.07s
% Output   : Proof 201.76s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : SWX153_1 : TPTP v9.3.0. Released v9.3.0.
% 0.12/0.13  % Command  : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.18/0.34  % Computer : n029.cluster.edu
% 0.18/0.34  % Model    : x86_64 x86_64
% 0.18/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.18/0.34  % Memory   : 8042.1875MB
% 0.18/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.18/0.34  % CPULimit : 300
% 0.18/0.34  % WCLimit  : 300
% 0.18/0.34  % DateTime : Tue Jun  2 23:03:32 EDT 2026
% 0.18/0.34  % CPUTime  : 
% 0.37/0.57  %----Proving TH0
% 201.76/202.07  --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 90s...
% 201.76/202.07  --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --mbqi-enum-choice-grammar-all --no-cegqi --no-sygus-inst at 30s...
% 201.76/202.07  --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-mbqi-nested-check --no-cegqi --no-sygus-inst at 30s...
% 201.76/202.07  --- Run --ho-elim --full-saturate-quant at 18s...
% 201.76/202.07  --- Run --ho-elim --no-e-matching --full-saturate-quant at 12s...
% 201.76/202.07  --- Run --ho-elim --no-e-matching --enum-inst-sum --full-saturate-quant at 12s...
% 201.76/202.07  --- Run --ho-elim --finite-model-find --uf-ss=no-minimal at 9s...
% 201.76/202.07  % SZS status Theorem
% 201.76/202.07  % SZS output start Proof
% 201.76/202.07  (
% 201.76/202.07  (declare-sort tptp.term 0)
% 201.76/202.07  (declare-sort tptp.subst 0)
% 201.76/202.07  (declare-sort tptp.d_term 0)
% 201.76/202.07  (declare-sort tptp.d_subst 0)
% 201.76/202.07  (declare-const tptp.hoasap (-> tptp.subst tptp.term tptp.subst tptp.term tptp.term))
% 201.76/202.07  (declare-const tptp.hoaslam (-> tptp.subst (-> tptp.subst tptp.term tptp.term) tptp.term))
% 201.76/202.08  (declare-const tptp.hoasinduction_p_and_p_prime (-> (-> tptp.subst tptp.term tptp.subst Bool) (-> tptp.term Bool) Bool))
% 201.76/202.08  (declare-const tptp.pushprop_lem1v2 Bool)
% 201.76/202.08  (declare-const tptp.pushprop_lem1_gthm Bool)
% 201.76/202.08  (declare-const tptp.axmap Bool)
% 201.76/202.08  (declare-const tptp.pushprop_lem0_gthm Bool)
% 201.76/202.08  (declare-const tptp.shinj Bool)
% 201.76/202.08  (declare-const tptp.hoasinduction_lem1v2 Bool)
% 201.76/202.08  (declare-const tptp.hoasinduction_lem1v2_gthm Bool)
% 201.76/202.08  (declare-const tptp.induction2lem Bool)
% 201.76/202.08  (declare-const tptp.hoasinduction_lem3v2_f Bool)
% 201.76/202.08  (declare-const tptp.axvarshift Bool)
% 201.76/202.08  (declare-const tptp.hoasapinj2 Bool)
% 201.76/202.08  (declare-const tptp.hoasapnotvar_gthm Bool)
% 201.76/202.08  (declare-const tptp.hoasapinj1 Bool)
% 201.76/202.08  (declare-const tptp.ulamvar1 Bool)
% 201.76/202.08  (declare-const tptp.induction2lem_lthm Bool)
% 201.76/202.08  (declare-const tptp.hoasinduction_lem3v2_gthm Bool)
% 201.76/202.08  (declare-const tptp.apnotvar Bool)
% 201.76/202.08  (declare-const tptp.pushprop_lthm_orig Bool)
% 201.76/202.08  (declare-const tptp.hoasinduction_lem3v2_f_lthm Bool)
% 201.76/202.08  (declare-const tptp.hoasinduction_lthm Bool)
% 201.76/202.08  (declare-const tptp.hoasinduction_no_psi_cond_lthm Bool)
% 201.76/202.08  (declare-const tptp.hoaslaminj Bool)
% 201.76/202.08  (declare-const tptp.hoasinduction_lem3aaa Bool)
% 201.76/202.08  (declare-const tptp.induction2lem_gthm Bool)
% 201.76/202.08  (declare-const tptp.hoasinduction_lem3aa_lthm Bool)
% 201.76/202.08  (declare-const tptp.hoasinduction_lem3 Bool)
% 201.76/202.08  (declare-const tptp.hoasinduction_lem2 Bool)
% 201.76/202.08  (declare-const tptp.termmset_lthm Bool)
% 201.76/202.08  (declare-const tptp.hoasinduction_lem1 Bool)
% 201.76/202.08  (declare-const tptp.hoaslamnotap_lthm Bool)
% 201.76/202.08  (declare-const tptp.pushprop_lem1v2_lthm Bool)
% 201.76/202.08  (declare-const tptp.hoasapnotvar Bool)
% 201.76/202.08  (declare-const tptp.hoasinduction_lem0 Bool)
% 201.76/202.08  (declare-const tptp.hoasinduction Bool)
% 201.76/202.08  (declare-const tptp.hoasinduction_gthm Bool)
% 201.76/202.08  (declare-const tptp.axapp Bool)
% 201.76/202.08  (declare-const tptp.hoaslamnotvar_lthm Bool)
% 201.76/202.08  (declare-const tptp.pushprop_lem3v2_lthm Bool)
% 201.76/202.08  (declare-const tptp.hoasinduction_lem3b_lthm Bool)
% 201.76/202.08  (declare-const tptp.ulamvarind Bool)
% 201.76/202.08  (declare-const tptp.induction Bool)
% 201.76/202.08  (declare-const tptp.hoasinduction_lem3a_lthm Bool)
% 201.76/202.08  (declare-const tptp.termmset_gthm Bool)
% 201.76/202.08  (declare-const tptp.hoasinduction_lem3aa Bool)
% 201.76/202.08  (declare-const tptp.pushprop_lem1v2_gthm Bool)
% 201.76/202.08  (declare-const tptp.hoaslamnotap_gthm Bool)
% 201.76/202.08  (declare-const tptp.hoaslamnotvar_gthm Bool)
% 201.76/202.08  (declare-const tptp.hoasinduction_lem3b_gthm Bool)
% 201.76/202.08  (declare-const tptp.pushprop_lem2v2 Bool)
% 201.76/202.08  (declare-const tptp.hoasinduction_lem3a_gthm Bool)
% 201.76/202.08  (declare-const tptp.axclos Bool)
% 201.76/202.08  (declare-const tptp.axassoc Bool)
% 201.76/202.08  (declare-const tptp.hoasinduction_lem2v2 Bool)
% 201.76/202.08  (declare-const tptp.pushprop_lthm Bool)
% 201.76/202.08  (declare-const tptp.apinj2 Bool)
% 201.76/202.08  (declare-const tptp.apinj1 Bool)
% 201.76/202.08  (declare-const tptp.hoasapinj2_lthm Bool)
% 201.76/202.08  (declare-const tptp.hoasinduction_lem3v2a Bool)
% 201.76/202.08  (declare-const tptp.hoasapinj1_lthm Bool)
% 201.76/202.08  (declare-const tptp.hoaslaminj_lthm Bool)
% 201.76/202.08  (declare-const tptp.axvarcons Bool)
% 201.76/202.08  (declare-const tptp.axscons Bool)
% 201.76/202.08  (declare-const tptp.hoasinduction_lem2v2_gthm Bool)
% 201.76/202.08  (declare-const tptp.d_one tptp.d_term)
% 201.76/202.08  (declare-const tptp.hoaslamnotap Bool)
% 201.76/202.08  (declare-const tptp.ulamvarsh Bool)
% 201.76/202.08  (declare-const tptp.pushprop_lem3v2 Bool)
% 201.76/202.08  (declare-const tptp.axshiftcons Bool)
% 201.76/202.08  (declare-const tptp.id tptp.subst)
% 201.76/202.08  (declare-const tptp.pushprop_lem1_lthm Bool)
% 201.76/202.08  (declare-const tptp.hoasvar (-> tptp.subst tptp.term tptp.subst Bool))
% 201.76/202.08  (declare-const tptp.pushprop_lem0_lthm Bool)
% 201.76/202.08  (declare-const tptp.one tptp.term)
% 201.76/202.08  (declare-const tptp.substmonoid_gthm Bool)
% 201.76/202.08  (declare-const tptp.hoasinduction_lem3v2 Bool)
% 201.76/202.08  (declare-const tptp.sh tptp.subst)
% 201.76/202.08  (declare-const tptp.termmset Bool)
% 201.76/202.08  (declare-const tptp.induction2 Bool)
% 201.76/202.08  (declare-const tptp.pushprop_p_and_p_prime (-> tptp.term tptp.subst (-> tptp.term Bool) (-> tptp.term Bool) Bool))
% 201.76/202.08  (declare-const tptp.lam (-> tptp.term tptp.term))
% 201.76/202.08  (declare-const tptp.pushprop_lem2v2_gthm Bool)
% 201.76/202.08  (declare-const tptp.ap (-> tptp.term tptp.term tptp.term))
% 201.76/202.08  (declare-const tptp.hoasinduction_lem3v2_lthm Bool)
% 201.76/202.08  (declare-const tptp.axvarid Bool)
% 201.76/202.08  (declare-const tptp.d_id tptp.d_subst)
% 201.76/202.08  (declare-const tptp.var (-> tptp.term Bool))
% 201.76/202.08  (declare-const tptp.d2term (-> tptp.d_term tptp.term))
% 201.76/202.08  (declare-const tptp.push (-> tptp.term tptp.subst tptp.subst))
% 201.76/202.08  (declare-const tptp.hoasapnotvar_lthm Bool)
% 201.76/202.08  (declare-const tptp.sub (-> tptp.term tptp.subst tptp.term))
% 201.76/202.08  (declare-const tptp.hoasinduction_lthm_3 Bool)
% 201.76/202.08  (declare-const tptp.d2subst (-> tptp.d_subst tptp.subst))
% 201.76/202.08  (declare-const tptp.comp (-> tptp.subst tptp.subst tptp.subst))
% 201.76/202.08  (declare-const tptp.pushprop_lem2v2_lthm Bool)
% 201.76/202.08  (declare-const tptp.induction2_gthm Bool)
% 201.76/202.08  (declare-const tptp.hoasinduction_no_psi_cond Bool)
% 201.76/202.08  (declare-const tptp.hoasinduction_lem1_gthm Bool)
% 201.76/202.08  (declare-const tptp.hoasinduction_lem3a Bool)
% 201.76/202.08  (declare-const tptp.lamnotvar Bool)
% 201.76/202.08  (declare-const tptp.substmonoid Bool)
% 201.76/202.08  (declare-const tptp.hoasinduction_lem3b Bool)
% 201.76/202.08  (declare-const tptp.hoasinduction_lem2_gthm Bool)
% 201.76/202.08  (declare-const tptp.hoasinduction_lem3_gthm Bool)
% 201.76/202.08  (declare-const tptp.pushprop Bool)
% 201.76/202.08  (declare-const tptp.substmonoid_lthm Bool)
% 201.76/202.08  (declare-const tptp.hoasinduction_lem0_lthm Bool)
% 201.76/202.08  (declare-const tptp.induction2_lthm Bool)
% 201.76/202.08  (declare-const tptp.hoaslaminj_gthm Bool)
% 201.76/202.08  (declare-const tptp.axidl Bool)
% 201.76/202.08  (declare-const tptp.hoaslamnotvar Bool)
% 201.76/202.08  (declare-const tptp.hoasapinj1_gthm Bool)
% 201.76/202.08  (declare-const tptp.lamnotap Bool)
% 201.76/202.08  (declare-const tptp.hoasinduction_lem1_lthm Bool)
% 201.76/202.08  (declare-const tptp.hoasapinj2_gthm Bool)
% 201.76/202.08  (declare-const tptp.hoasinduction_lem2_lthm Bool)
% 201.76/202.08  (declare-const tptp.hoasinduction_lem3v2a_lthm Bool)
% 201.76/202.08  (declare-const tptp.axabs Bool)
% 201.76/202.08  (declare-const tptp.pushprop_gthm Bool)
% 201.76/202.08  (declare-const tptp.pushprop_lem0 Bool)
% 201.76/202.08  (declare-const tptp.hoasinduction_lem3_lthm Bool)
% 201.76/202.08  (declare-const tptp.laminj Bool)
% 201.76/202.08  (declare-const tptp.pushprop_lem1 Bool)
% 201.76/202.08  (declare-const tptp.axidr Bool)
% 201.76/202.08  (define @t1 () (@var "Bound_variable_3283" tptp.term))
% 201.76/202.08  (define @t2 () (@var "P" (-> tptp.subst tptp.term tptp.subst Bool)))
% 201.76/202.08  (define @t3 () (_ @t2 tptp.id))
% 201.76/202.08  (define @t4 () (@var "F" (-> tptp.subst tptp.term tptp.term)))
% 201.76/202.08  (define @t5 () (_ (_ @t4 tptp.sh) tptp.one))
% 201.76/202.08  (define @t6 () (_ tptp.lam @t5))
% 201.76/202.08  (define @t7 () (_ (_ @t3 @t6) tptp.id))
% 201.76/202.08  (define @t8 () (@var "A" tptp.term))
% 201.76/202.08  (define @t9 () (_ (_ @t4 tptp.id) @t8))
% 201.76/202.08  (define @t10 () (_ (_ @t3 @t9) tptp.id))
% 201.76/202.08  (define @t11 () (_ (_ @t3 @t8) tptp.id))
% 201.76/202.08  (define @t12 () (not @t11))
% 201.76/202.08  (define @t13 () (or @t12 @t10))
% 201.76/202.08  (define @t14 () (@list @t8))
% 201.76/202.08  (define @t15 () (forall @t14 @t13))
% 201.76/202.08  (define @t16 () (not @t15))
% 201.76/202.08  (define @t17 () (@var "N" tptp.subst))
% 201.76/202.08  (define @t18 () (_ tptp.sub @t8))
% 201.76/202.08  (define @t19 () (_ @t18 @t17))
% 201.76/202.08  (define @t20 () (@var "M" tptp.subst))
% 201.76/202.08  (define @t21 () (_ tptp.comp @t20))
% 201.76/202.08  (define @t22 () (_ @t21 @t17))
% 201.76/202.08  (define @t23 () (_ (_ @t4 @t22) @t19))
% 201.76/202.08  (define @t24 () (_ (_ @t4 @t20) @t8))
% 201.76/202.08  (define @t25 () (_ (_ tptp.sub @t24) @t17))
% 201.76/202.08  (define @t26 () (= @t25 @t23))
% 201.76/202.08  (define @t27 () (@list @t20 @t8 @t17))
% 201.76/202.08  (define @t28 () (forall @t27 @t26))
% 201.76/202.08  (define @t29 () (not @t28))
% 201.76/202.08  (define @t30 () (or @t29 @t16 @t7))
% 201.76/202.08  (define @t31 () (@list @t4))
% 201.76/202.08  (define @t32 () (forall @t31 @t30))
% 201.76/202.08  (define @t33 () (not @t32))
% 201.76/202.08  (define @t34 () (@var "B" tptp.term))
% 201.76/202.08  (define @t35 () (_ @t18 tptp.id))
% 201.76/202.08  (define @t36 () (_ tptp.ap @t35))
% 201.76/202.08  (define @t37 () (_ @t36 @t34))
% 201.76/202.08  (define @t38 () (_ (_ @t3 @t37) tptp.id))
% 201.76/202.08  (define @t39 () (_ (_ @t3 @t34) tptp.id))
% 201.76/202.08  (define @t40 () (not @t39))
% 201.76/202.08  (define @t41 () (or @t12 @t40 @t38))
% 201.76/202.08  (define @t42 () (@list @t8 @t34))
% 201.76/202.08  (define @t43 () (forall @t42 @t41))
% 201.76/202.08  (define @t44 () (not @t43))
% 201.76/202.08  (define @t45 () (@var "K" tptp.subst))
% 201.76/202.08  (define @t46 () (_ (_ (_ @t2 @t20) @t8) (_ (_ tptp.comp @t45) @t17)))
% 201.76/202.08  (define @t47 () (_ (_ (_ @t2 (_ @t21 @t45)) (_ @t18 @t45)) @t17))
% 201.76/202.08  (define @t48 () (@list @t20 @t8 @t17 @t45))
% 201.76/202.08  (define @t49 () (not (forall @t48 (or (not @t47) @t46))))
% 201.76/202.08  (define @t50 () (not (forall @t48 (or (not @t46) @t47))))
% 201.76/202.08  (define @t51 () (forall (@list @t2 @t1) (or @t50 @t49 (not (forall @t14 (or (not (_ tptp.var @t35)) @t11))) @t44 @t33 (_ (_ @t3 @t1) tptp.id))))
% 201.76/202.08  (define @t52 () (@var "Bound_variable_2931" tptp.term))
% 201.76/202.08  (define @t53 () (@var "Q" (-> tptp.term Bool)))
% 201.76/202.08  (define @t54 () (_ tptp.push @t34))
% 201.76/202.08  (define @t55 () (_ @t54 tptp.id))
% 201.76/202.08  (define @t56 () (not (_ @t53 @t34)))
% 201.76/202.08  (define @t57 () (@list @t34))
% 201.76/202.08  (define @t58 () (@var "X" tptp.term))
% 201.76/202.08  (define @t59 () (_ @t53 @t58))
% 201.76/202.08  (define @t60 () (@list @t58))
% 201.76/202.08  (define @t61 () (forall @t60 (= @t59 (_ (_ @t3 @t58) tptp.id))))
% 201.76/202.08  (define @t62 () (not @t61))
% 201.76/202.08  (define @t63 () (forall (@list @t2 @t53 @t52) (or @t33 @t62 (not (forall @t57 (or @t56 (_ @t53 (_ (_ tptp.sub @t52) @t55))))) (_ @t53 (_ tptp.lam @t52)))))
% 201.76/202.08  (define @t64 () (forall @t14 (= @t8 @t35)))
% 201.76/202.08  (define @t65 () (@var "Bound_variable_2367" tptp.term))
% 201.76/202.08  (define @t66 () (@var "P" (-> tptp.term Bool)))
% 201.76/202.08  (define @t67 () (_ tptp.lam @t8))
% 201.76/202.08  (define @t68 () (_ @t66 @t67))
% 201.76/202.08  (define @t69 () (not (_ @t66 @t34)))
% 201.76/202.08  (define @t70 () (not (forall @t14 (or (not (forall @t57 (or @t69 (_ @t66 (_ @t18 @t55))))) @t68))))
% 201.76/202.08  (define @t71 () (_ tptp.ap @t8))
% 201.76/202.08  (define @t72 () (_ @t66 @t8))
% 201.76/202.08  (define @t73 () (not @t72))
% 201.76/202.08  (define @t74 () (not (forall @t42 (or @t73 @t69 (_ @t66 (_ @t71 @t34))))))
% 201.76/202.08  (define @t75 () (not (forall @t14 (or (not (_ tptp.var @t8)) @t72))))
% 201.76/202.08  (define @t76 () (forall (@list @t66 @t65) (or @t75 @t74 @t70 (_ @t66 @t65))))
% 201.76/202.08  (define @t77 () (@list @t53))
% 201.76/202.08  (define @t78 () (@list @t2))
% 201.76/202.08  (define @t79 () (forall @t78 (not (forall @t77 @t62))))
% 201.76/202.08  (define @t80 () (@var "Bound_variable_2910" tptp.term))
% 201.76/202.08  (define @t81 () (forall (@list @t2 @t53 @t80) (or @t50 @t49 @t33 @t62 (not (forall @t57 (or @t56 (_ @t53 (_ (_ tptp.sub @t80) @t55))))) (_ @t53 (_ tptp.lam @t80)))))
% 201.76/202.08  (define @t82 () (_ (_ tptp.push @t8) @t20))
% 201.76/202.08  (define @t83 () (forall @t60 (= @t59 (_ @t66 (_ (_ tptp.sub @t58) @t82)))))
% 201.76/202.08  (define @t84 () (not @t83))
% 201.76/202.08  (define @t85 () (forall (@list @t66 @t8 @t20) (not (forall @t77 @t84))))
% 201.76/202.08  (define @t86 () (_ tptp.comp tptp.sh))
% 201.76/202.08  (define @t87 () (@list @t8 @t20))
% 201.76/202.08  (define @t88 () (forall @t87 (= @t20 (_ @t86 @t82))))
% 201.76/202.08  (define @t89 () (@var "K" (-> tptp.term Bool)))
% 201.76/202.08  (define @t90 () (forall (@list @t66 @t89 @t8 @t20 @t34) (or @t73 (_ @t89 (_ @t18 (_ @t54 @t20))))))
% 201.76/202.08  (define @t91 () (_ tptp.sub tptp.one))
% 201.76/202.08  (define @t92 () (forall @t87 (= @t8 (_ @t91 @t82))))
% 201.76/202.08  (define @t93 () (@var "Bound_variable_2605" tptp.term))
% 201.76/202.08  (define @t94 () (@var "Bound_variable_2603" tptp.term))
% 201.76/202.08  (define @t95 () (_ tptp.d2subst tptp.d_id))
% 201.76/202.08  (define @t96 () (_ tptp.d2term tptp.d_one))
% 201.76/202.08  (define @t97 () (@var "Bound_variable_3295" tptp.term))
% 201.76/202.08  (define @t98 () (_ (_ @t3 @t97) tptp.id))
% 201.76/202.08  (define @t99 () (or @t44 @t33 @t98))
% 201.76/202.08  (define @t100 () (@list @t2 @t97))
% 201.76/202.08  (define @t101 () (forall @t100 @t99))
% 201.76/202.08  (define @t102 () (= tptp.hoasinduction_no_psi_cond @t101))
% 201.76/202.08  (define @t103 () (@var "Bound_variable_3232" tptp.term))
% 201.76/202.08  (define @t104 () (forall (@list @t2 @t103) (or @t33 (not (forall @t57 (or @t40 (_ (_ @t3 (_ (_ tptp.sub @t103) @t55)) tptp.id)))) (_ (_ @t3 (_ tptp.lam @t103)) tptp.id))))
% 201.76/202.08  (define @t105 () (@list @t20))
% 201.76/202.08  (define @t106 () (forall @t105 (= @t20 (_ @t21 tptp.id))))
% 201.76/202.08  (define @t107 () (forall @t105 (= @t20 (_ (_ tptp.comp tptp.id) @t20))))
% 201.76/202.08  (define @t108 () (and @t107 @t106))
% 201.76/202.08  (define @t109 () (_ (_ tptp.push tptp.one) tptp.sh))
% 201.76/202.08  (define @t110 () (_ tptp.sub @t34))
% 201.76/202.08  (define @t111 () (forall @t57 (not (forall @t31 (not (= @t5 (_ @t110 @t109)))))))
% 201.76/202.08  (define @t112 () (@var "Bound_variable_2342" tptp.subst))
% 201.76/202.08  (define @t113 () (@var "Bound_variable_2340" tptp.term))
% 201.76/202.08  (define @t114 () (forall (@list @t66 @t113 @t112) (or @t74 @t70 (not (forall @t57 (or (not (_ tptp.var @t34)) (_ @t66 (_ @t110 @t112))))) (_ @t66 (_ (_ tptp.sub @t113) @t112)))))
% 201.76/202.08  (define @t115 () (forall @t57 (not (forall @t31 (not (forall @t87 (= (_ @t110 @t82) @t24)))))))
% 201.76/202.08  (define @t116 () (@var "Bound_variable_3211" tptp.term))
% 201.76/202.08  (define @t117 () (forall (@list @t2 @t116) (or @t50 @t49 @t33 (not (forall @t57 (or @t40 (_ (_ @t3 (_ (_ tptp.sub @t116) @t55)) tptp.id)))) (_ (_ @t3 (_ tptp.lam @t116)) tptp.id))))
% 201.76/202.08  (define @t118 () (@var "Bound_variable_3046" tptp.term))
% 201.76/202.08  (define @t119 () (_ tptp.sub @t118))
% 201.76/202.08  (define @t120 () (forall (@list @t2 @t118) (or @t33 (not (forall @t57 (or @t40 (_ (_ @t3 (_ @t119 @t55)) tptp.id)))) (_ (_ @t3 (_ tptp.lam (_ @t119 @t109))) tptp.id))))
% 201.76/202.08  (define @t121 () (= @t8 @t34))
% 201.76/202.08  (define @t122 () (forall @t42 (or (not (= @t67 (_ tptp.lam @t34))) @t121)))
% 201.76/202.08  (define @t123 () (@var "Bound_variable_2551" tptp.term))
% 201.76/202.08  (define @t124 () (@var "Bound_variable_2549" tptp.subst))
% 201.76/202.08  (define @t125 () (@var "Bound_variable_2547" (-> tptp.subst tptp.term tptp.term)))
% 201.76/202.08  (define @t126 () (forall (@list @t4 @t125 @t124 @t123) (or @t29 (not (forall @t27 (= (_ (_ tptp.sub (_ (_ @t125 @t20) @t8)) @t17) (_ (_ @t125 @t22) @t19)))) (not (= @t6 (_ tptp.lam (_ (_ @t125 tptp.sh) tptp.one)))) (= (_ (_ @t4 @t124) @t123) (_ (_ @t125 @t124) @t123)))))
% 201.76/202.08  (define @t127 () (@var "D" tptp.term))
% 201.76/202.08  (define @t128 () (@var "C" tptp.term))
% 201.76/202.08  (define @t129 () (not (= (_ @t36 @t128) (_ (_ tptp.ap (_ @t110 tptp.id)) @t127))))
% 201.76/202.08  (define @t130 () (@list @t8 @t34 @t128 @t127))
% 201.76/202.08  (define @t131 () (forall @t130 (or @t129 @t121)))
% 201.76/202.08  (define @t132 () (not (= (_ @t71 @t128) (_ (_ tptp.ap @t34) @t127))))
% 201.76/202.08  (define @t133 () (forall @t130 (or @t132 @t121)))
% 201.76/202.08  (define @t134 () (= @t128 @t127))
% 201.76/202.08  (define @t135 () (forall @t130 (or @t129 @t134)))
% 201.76/202.08  (define @t136 () (forall @t130 (or @t132 @t134)))
% 201.76/202.08  (define @t137 () (@var "Bound_variable_2822" tptp.term))
% 201.76/202.08  (define @t138 () (@var "Bound_variable_2820" tptp.term))
% 201.76/202.08  (define @t139 () (@var "Bound_variable_2140" tptp.term))
% 201.76/202.08  (define @t140 () (forall (@list @t66 @t139) (or @t75 @t74 (not (forall @t14 (or @t73 @t68))) (_ @t66 @t139))))
% 201.76/202.08  (define @t141 () (forall (@list @t66 @t53 @t8 @t20) (or @t73 @t84 (_ @t53 tptp.one))))
% 201.76/202.08  (define @t142 () (@var "Bound_variable_3001" tptp.term))
% 201.76/202.08  (define @t143 () (@var "Bound_variable_2999" tptp.term))
% 201.76/202.08  (define @t144 () (forall (@list @t2 @t143 @t142) (or @t50 @t49 @t44 (not (_ (_ @t3 @t143) tptp.id)) (not (_ (_ @t3 @t142) tptp.id)) (_ (_ @t3 (_ (_ tptp.ap @t143) @t142)) tptp.id))))
% 201.76/202.08  (define @t145 () (@var "Bound_variable_3171" tptp.term))
% 201.76/202.08  (define @t146 () (_ tptp.sub @t145))
% 201.76/202.08  (define @t147 () (@var "Bound_variable_3094" tptp.subst))
% 201.76/202.08  (define @t148 () (@var "Bound_variable_3090" tptp.subst))
% 201.76/202.08  (define @t149 () (_ (_ tptp.comp @t148) @t147))
% 201.76/202.08  (define @t150 () (@var "Bound_variable_3092" tptp.term))
% 201.76/202.08  (define @t151 () (_ (_ tptp.sub @t150) @t147))
% 201.76/202.08  (define @t152 () (@var "Bound_variable_3149" tptp.term))
% 201.76/202.08  (define @t153 () (_ tptp.sub @t152))
% 201.76/202.08  (define @t154 () (@var "Bound_variable_3076" tptp.subst))
% 201.76/202.08  (define @t155 () (@var "Bound_variable_3072" tptp.subst))
% 201.76/202.08  (define @t156 () (@var "Bound_variable_3074" tptp.term))
% 201.76/202.08  (define @t157 () (lambda (@list (@var "Bound_variable_4913" tptp.subst) (@var "Bound_variable_4915" (-> tptp.subst tptp.term tptp.term))) @t96))
% 201.76/202.08  (define @t158 () (_ (_ (_ (_ tptp.hoasap @t95) @t96) @t95) @t96))
% 201.76/202.08  (define @t159 () (_ tptp.lam @t96))
% 201.76/202.08  (define @t160 () (@var "DS2" tptp.d_subst))
% 201.76/202.08  (define @t161 () (@var "DS1" tptp.d_subst))
% 201.76/202.08  (define @t162 () (@var "DS" tptp.d_subst))
% 201.76/202.08  (define @t163 () (@list @t162))
% 201.76/202.08  (define @t164 () (forall @t163 (= @t162 tptp.d_id)))
% 201.76/202.08  (define @t165 () (_ tptp.d2subst @t162))
% 201.76/202.08  (define @t166 () (@var "S" tptp.subst))
% 201.76/202.08  (define @t167 () (= @t166 @t165))
% 201.76/202.08  (define @t168 () (exists @t163 @t167))
% 201.76/202.08  (define @t169 () (@list @t166))
% 201.76/202.08  (define @t170 () (forall @t169 @t168))
% 201.76/202.08  (define @t171 () (@var "DT2" tptp.d_term))
% 201.76/202.08  (define @t172 () (@var "DT1" tptp.d_term))
% 201.76/202.08  (define @t173 () (@var "DT" tptp.d_term))
% 201.76/202.08  (define @t174 () (@list @t173))
% 201.76/202.08  (define @t175 () (forall @t174 (= @t173 tptp.d_one)))
% 201.76/202.08  (define @t176 () (_ tptp.d2term @t173))
% 201.76/202.08  (define @t177 () (@var "T" tptp.term))
% 201.76/202.08  (define @t178 () (= @t177 @t176))
% 201.76/202.08  (define @t179 () (exists @t174 @t178))
% 201.76/202.08  (define @t180 () (@list @t177))
% 201.76/202.08  (define @t181 () (forall @t180 @t179))
% 201.76/202.08  (define @t182 () (forall @t14 @t11))
% 201.76/202.08  (define @t183 () (@list @t20 @t8))
% 201.76/202.08  (define @t184 () (lambda @t183 @t24))
% 201.76/202.08  (define @t185 () (_ tptp.hoaslam tptp.id))
% 201.76/202.08  (define @t186 () (_ @t185 @t184))
% 201.76/202.08  (define @t187 () (_ (_ @t3 @t186) tptp.id))
% 201.76/202.08  (define @t188 () (forall @t14 (=> @t11 @t10)))
% 201.76/202.08  (define @t189 () (=> @t188 @t187))
% 201.76/202.08  (define @t190 () (=> @t28 @t189))
% 201.76/202.08  (define @t191 () (forall @t31 @t190))
% 201.76/202.08  (define @t192 () (=> @t191 @t182))
% 201.76/202.08  (define @t193 () (_ (_ (_ (_ tptp.hoasap tptp.id) @t8) tptp.id) @t34))
% 201.76/202.08  (define @t194 () (_ (_ @t3 @t193) tptp.id))
% 201.76/202.08  (define @t195 () (=> @t39 @t194))
% 201.76/202.08  (define @t196 () (forall @t42 (=> @t11 @t195)))
% 201.76/202.08  (define @t197 () (=> @t196 @t192))
% 201.76/202.08  (define @t198 () (forall @t78 @t197))
% 201.76/202.08  (define @t199 () (= tptp.hoasinduction_no_psi_cond @t198))
% 201.76/202.08  (define @t200 () (not @t199))
% 201.76/202.08  (define @t201 () (@const 0 (@ho-elim-sort (-> tptp.d_term tptp.term))))
% 201.76/202.08  (define @t202 () (@const 1 (-> (@ho-elim-sort (-> tptp.d_term tptp.term)) tptp.d_term tptp.term)))
% 201.76/202.08  (define @t203 () (_ @t202 @t201 @t173))
% 201.76/202.08  (define @t204 () (forall @t180 (not (forall @t174 (not (= @t177 @t203))))))
% 201.76/202.08  (define @t205 () (tptp.d2term @t173))
% 201.76/202.08  (define @t206 () (not @t178))
% 201.76/202.08  (define @t207 () (forall @t174 @t206))
% 201.76/202.08  (define @t208 () (not @t207))
% 201.76/202.08  (define @t209 () (@const 2 (@ho-elim-sort (-> tptp.d_subst tptp.subst))))
% 201.76/202.08  (define @t210 () (@const 3 (-> (@ho-elim-sort (-> tptp.d_subst tptp.subst)) tptp.d_subst tptp.subst)))
% 201.76/202.08  (define @t211 () (_ @t210 @t209 tptp.d_id))
% 201.76/202.08  (define @t212 () (_ (@const 5 (-> (@ho-elim-sort (-> tptp.subst tptp.term tptp.subst tptp.term tptp.term)) tptp.subst (@ho-elim-sort (-> tptp.term tptp.subst tptp.term tptp.term)))) (@const 4 (@ho-elim-sort (-> tptp.subst tptp.term tptp.subst tptp.term tptp.term))) @t211))
% 201.76/202.08  (define @t213 () (@const 6 (-> (@ho-elim-sort (-> tptp.term tptp.subst tptp.term tptp.term)) tptp.term (@ho-elim-sort (-> tptp.subst tptp.term tptp.term)))))
% 201.76/202.08  (define @t214 () (@const 7 (-> (@ho-elim-sort (-> tptp.subst tptp.term tptp.term)) tptp.subst (@ho-elim-sort (-> tptp.term tptp.term)))))
% 201.76/202.08  (define @t215 () (@const 8 (-> (@ho-elim-sort (-> tptp.term tptp.term)) tptp.term tptp.term)))
% 201.76/202.08  (define @t216 () (_ @t215 (_ @t214 (_ @t213 @t212 @t8) @t211) @t34))
% 201.76/202.08  (define @t217 () (@const 10 (-> (@ho-elim-sort (-> tptp.subst tptp.term tptp.subst Bool)) tptp.subst (@ho-elim-sort (-> tptp.term tptp.subst Bool)))))
% 201.76/202.08  (define @t218 () (_ @t217 (@const 9 (@ho-elim-sort (-> tptp.subst tptp.term tptp.subst Bool))) @t211))
% 201.76/202.08  (define @t219 () (@const 11 (-> (@ho-elim-sort (-> tptp.term tptp.subst Bool)) tptp.term (@ho-elim-sort (-> tptp.subst Bool)))))
% 201.76/202.08  (define @t220 () (@const 12 (-> (@ho-elim-sort (-> tptp.subst Bool)) tptp.subst Bool)))
% 201.76/202.08  (define @t221 () (not (_ @t220 (_ @t219 @t218 @t8) @t211)))
% 201.76/202.08  (define @t222 () (@quantifiers_skolemize (forall @t42 (or @t221 (not (_ @t220 (_ @t219 @t218 @t34) @t211)) (_ @t220 (_ @t219 @t218 @t216) @t211))) 0))
% 201.76/202.08  (define @t223 () (not (= @t222 @t203)))
% 201.76/202.08  (define @t224 () (forall @t174 @t223))
% 201.76/202.08  (define @t225 () (not @t224))
% 201.76/202.08  (define @t226 () (forall @t174 (not (= @t203 @t222))))
% 201.76/202.08  (define @t227 () (not @t226))
% 201.76/202.08  (define @t228 () (@list false))
% 201.76/202.08  (define @t229 () (@list @t204))
% 201.76/202.08  (define @t230 () (@quantifiers_skolemize @t226 0))
% 201.76/202.08  (define @t231 () (_ @t202 @t201 @t230))
% 201.76/202.08  (define @t232 () (= @t222 @t231))
% 201.76/202.08  (define @t233 () (= @t231 @t222))
% 201.76/202.08  (define @t234 () (not (not @t233)))
% 201.76/202.08  (define @t235 () (@list true))
% 201.76/202.08  (define @t236 () (_ @t202 @t201 tptp.d_one))
% 201.76/202.08  (define @t237 () (_ @t213 @t212 @t236))
% 201.76/202.08  (define @t238 () (_ @t214 @t237 @t211))
% 201.76/202.08  (define @t239 () (_ @t215 @t238 @t8))
% 201.76/202.08  (define @t240 () (@var "BOUND_VARIABLE_9066" tptp.term))
% 201.76/202.08  (define @t241 () (@var "BOUND_VARIABLE_10158" (@ho-elim-sort (-> tptp.subst tptp.term tptp.subst Bool))))
% 201.76/202.08  (define @t242 () (_ @t217 @t241 @t211))
% 201.76/202.08  (define @t243 () (_ @t220 (_ @t219 @t242 @t240) @t211))
% 201.76/202.08  (define @t244 () (@var "BOUND_VARIABLE_10166" (@ho-elim-sort (-> tptp.subst tptp.term tptp.term))))
% 201.76/202.08  (define @t245 () (_ @t214 @t244 @t211))
% 201.76/202.08  (define @t246 () (_ @t215 @t245 @t8))
% 201.76/202.08  (define @t247 () (not (_ @t220 (_ @t219 @t242 @t8) @t211)))
% 201.76/202.08  (define @t248 () (not (forall @t14 (or @t247 (_ @t220 (_ @t219 @t242 @t246) @t211)))))
% 201.76/202.08  (define @t249 () (@const 13 (@ho-elim-sort (-> tptp.term tptp.subst tptp.term))))
% 201.76/202.08  (define @t250 () (@const 14 (-> (@ho-elim-sort (-> tptp.term tptp.subst tptp.term)) tptp.term (@ho-elim-sort (-> tptp.subst tptp.term)))))
% 201.76/202.08  (define @t251 () (@const 15 (-> (@ho-elim-sort (-> tptp.subst tptp.term)) tptp.subst tptp.term)))
% 201.76/202.08  (define @t252 () (_ @t251 (_ @t250 @t249 (_ @t215 (_ @t214 @t244 @t20) @t8)) @t17))
% 201.76/202.08  (define @t253 () (_ @t250 @t249 @t8))
% 201.76/202.08  (define @t254 () (_ @t251 @t253 @t17))
% 201.76/202.08  (define @t255 () (@const 16 (@ho-elim-sort (-> tptp.subst tptp.subst tptp.subst))))
% 201.76/202.08  (define @t256 () (@const 17 (-> (@ho-elim-sort (-> tptp.subst tptp.subst tptp.subst)) tptp.subst (@ho-elim-sort (-> tptp.subst tptp.subst)))))
% 201.76/202.08  (define @t257 () (@const 18 (-> (@ho-elim-sort (-> tptp.subst tptp.subst)) tptp.subst tptp.subst)))
% 201.76/202.08  (define @t258 () (_ @t257 (_ @t256 @t255 @t20) @t17))
% 201.76/202.08  (define @t259 () (_ @t215 (_ @t214 @t244 @t258) @t254))
% 201.76/202.08  (define @t260 () (not (forall @t27 (= @t259 @t252))))
% 201.76/202.08  (define @t261 () (@list @t244))
% 201.76/202.08  (define @t262 () (not (_ @t220 (_ @t219 @t242 @t236) @t211)))
% 201.76/202.08  (define @t263 () (not (_ @t220 (_ @t219 @t242 @t34) @t211)))
% 201.76/202.08  (define @t264 () (not (forall @t42 (or @t247 @t263 (_ @t220 (_ @t219 @t242 @t216) @t211)))))
% 201.76/202.08  (define @t265 () (@list @t241 @t240))
% 201.76/202.08  (define @t266 () (forall @t265 (or @t264 (and @t262 (not (forall @t261 (or @t260 @t248)))) @t243)))
% 201.76/202.08  (define @t267 () (_ @t217 (@quantifiers_skolemize @t266 0) @t211))
% 201.76/202.08  (define @t268 () (not (_ @t220 (_ @t219 @t267 @t8) @t211)))
% 201.76/202.08  (define @t269 () (forall @t14 (or @t268 (_ @t220 (_ @t219 @t267 @t239) @t211))))
% 201.76/202.08  (define @t270 () (@quantifiers_skolemize @t269 0))
% 201.76/202.08  (define @t271 () (not (= @t270 @t203)))
% 201.76/202.08  (define @t272 () (forall @t174 @t271))
% 201.76/202.08  (define @t273 () (not @t272))
% 201.76/202.08  (define @t274 () (forall @t174 (not (= @t203 @t270))))
% 201.76/202.08  (define @t275 () (not @t274))
% 201.76/202.08  (define @t276 () (@quantifiers_skolemize @t274 0))
% 201.76/202.08  (define @t277 () (_ @t202 @t201 @t276))
% 201.76/202.08  (define @t278 () (= @t270 @t277))
% 201.76/202.08  (define @t279 () (= @t277 @t270))
% 201.76/202.08  (define @t280 () (not (not @t279)))
% 201.76/202.08  (define @t281 () (@const 19 (@ho-elim-sort (-> tptp.term tptp.term))))
% 201.76/202.08  (define @t282 () (_ @t215 @t281 (_ @t215 @t245 @t236)))
% 201.76/202.08  (define @t283 () (_ @t220 (_ @t219 @t242 @t97) @t211))
% 201.76/202.08  (define @t284 () (_ @t220 (_ @t219 @t242 @t282) @t211))
% 201.76/202.08  (define @t285 () (_ @t215 (_ (@const 21 (-> (@ho-elim-sort (-> tptp.term tptp.term tptp.term)) tptp.term (@ho-elim-sort (-> tptp.term tptp.term)))) (@const 20 (@ho-elim-sort (-> tptp.term tptp.term tptp.term))) (_ @t251 @t253 @t211)) @t34))
% 201.76/202.08  (define @t286 () (not (forall @t42 (or @t247 @t263 (_ @t220 (_ @t219 @t242 @t285) @t211)))))
% 201.76/202.08  (define @t287 () (@list @t241 @t97))
% 201.76/202.08  (define @t288 () (forall @t287 (or @t286 (not (forall @t261 (or @t260 @t248 @t284))) @t283)))
% 201.76/202.08  (define @t289 () (_ @t217 (@quantifiers_skolemize @t288 0) @t211))
% 201.76/202.08  (define @t290 () (not (_ @t220 (_ @t219 @t289 @t8) @t211)))
% 201.76/202.08  (define @t291 () (forall @t261 (or @t260 (not (forall @t14 (or @t290 (_ @t220 (_ @t219 @t289 @t246) @t211)))) (_ @t220 (_ @t219 @t289 @t282) @t211))))
% 201.76/202.08  (define @t292 () (@quantifiers_skolemize @t288 1))
% 201.76/202.08  (define @t293 () (_ @t220 (_ @t219 @t289 @t292) @t211))
% 201.76/202.08  (define @t294 () (not @t291))
% 201.76/202.08  (define @t295 () (or (not (forall @t42 (or @t290 (not (_ @t220 (_ @t219 @t289 @t34) @t211)) (_ @t220 (_ @t219 @t289 @t285) @t211)))) @t294 @t293))
% 201.76/202.08  (define @t296 () (@list @t237))
% 201.76/202.08  (define @t297 () (_ @t215 @t238 @t236))
% 201.76/202.08  (define @t298 () (_ @t215 @t281 @t297))
% 201.76/202.08  (define @t299 () (_ @t219 @t289 @t298))
% 201.76/202.08  (define @t300 () (_ @t220 @t299 @t211))
% 201.76/202.08  (define @t301 () (forall @t14 (or @t290 (_ @t220 (_ @t219 @t289 @t239) @t211))))
% 201.76/202.08  (define @t302 () (not @t301))
% 201.76/202.08  (define @t303 () (forall @t27 (= (_ @t215 (_ @t214 @t237 @t258) @t254) (_ @t251 (_ @t250 @t249 (_ @t215 (_ @t214 @t237 @t20) @t8)) @t17))))
% 201.76/202.08  (define @t304 () (not @t303))
% 201.76/202.08  (define @t305 () (or @t304 @t302 @t300))
% 201.76/202.08  (define @t306 () (forall @t174 (not (= @t203 @t292))))
% 201.76/202.08  (define @t307 () (@quantifiers_skolemize @t306 0))
% 201.76/202.08  (define @t308 () (not (= @t292 @t203)))
% 201.76/202.08  (define @t309 () (forall @t174 @t308))
% 201.76/202.08  (define @t310 () (not @t309))
% 201.76/202.08  (define @t311 () (not @t306))
% 201.76/202.08  (define @t312 () (_ @t202 @t201 @t307))
% 201.76/202.08  (define @t313 () (= @t292 @t312))
% 201.76/202.08  (define @t314 () (= @t312 @t292))
% 201.76/202.08  (define @t315 () (not (not @t314)))
% 201.76/202.08  (define @t316 () (@list @t306))
% 201.76/202.08  (define @t317 () (@quantifiers_skolemize @t303 2))
% 201.76/202.08  (define @t318 () (@quantifiers_skolemize @t303 1))
% 201.76/202.08  (define @t319 () (_ @t250 @t249 @t318))
% 201.76/202.08  (define @t320 () (_ @t251 @t319 @t317))
% 201.76/202.08  (define @t321 () (@quantifiers_skolemize @t303 0))
% 201.76/202.08  (define @t322 () (_ @t215 (_ @t214 @t237 (_ @t257 (_ @t256 @t255 @t321) @t317)) @t320))
% 201.76/202.08  (define @t323 () (not (= @t322 @t203)))
% 201.76/202.08  (define @t324 () (forall @t174 @t323))
% 201.76/202.08  (define @t325 () (not @t324))
% 201.76/202.08  (define @t326 () (forall @t174 (not (= @t203 @t322))))
% 201.76/202.08  (define @t327 () (not @t326))
% 201.76/202.08  (define @t328 () (@quantifiers_skolemize @t326 0))
% 201.76/202.08  (define @t329 () (_ @t202 @t201 @t328))
% 201.76/202.08  (define @t330 () (= @t322 @t329))
% 201.76/202.08  (define @t331 () (= @t329 @t322))
% 201.76/202.08  (define @t332 () (not (not @t331)))
% 201.76/202.08  (define @t333 () (_ @t250 @t249 @t236))
% 201.76/202.08  (define @t334 () (_ @t215 (_ @t214 (@quantifiers_skolemize (forall @t261 (or @t260 (not (forall @t14 (or @t221 (_ @t220 (_ @t219 @t218 @t246) @t211)))))) 0) (_ @t257 (_ @t256 @t255 @t211) @t211)) (_ @t251 @t333 @t211)))
% 201.76/202.08  (define @t335 () (forall @t174 (not (= @t203 @t334))))
% 201.76/202.08  (define @t336 () (@quantifiers_skolemize @t335 0))
% 201.76/202.08  (define @t337 () (@list @t336))
% 201.76/202.08  (define @t338 () (forall @t174 (not (= @t203 @t318))))
% 201.76/202.08  (define @t339 () (@quantifiers_skolemize @t338 0))
% 201.76/202.08  (define @t340 () (not (= @t334 @t203)))
% 201.76/202.08  (define @t341 () (forall @t174 @t340))
% 201.76/202.08  (define @t342 () (not @t341))
% 201.76/202.08  (define @t343 () (not @t335))
% 201.76/202.08  (define @t344 () (_ @t202 @t201 @t336))
% 201.76/202.08  (define @t345 () (= @t334 @t344))
% 201.76/202.08  (define @t346 () (= @t344 @t334))
% 201.76/202.08  (define @t347 () (not (not @t346)))
% 201.76/202.08  (define @t348 () (not (= @t318 @t203)))
% 201.76/202.08  (define @t349 () (forall @t174 @t348))
% 201.76/202.08  (define @t350 () (not @t349))
% 201.76/202.08  (define @t351 () (not @t338))
% 201.76/202.08  (define @t352 () (_ @t202 @t201 @t339))
% 201.76/202.08  (define @t353 () (= @t318 @t352))
% 201.76/202.08  (define @t354 () (= @t352 @t318))
% 201.76/202.08  (define @t355 () (not (not @t354)))
% 201.76/202.08  (define @t356 () (_ @t210 @t209 @t162))
% 201.76/202.08  (define @t357 () (forall @t163 (not (= @t356 @t321))))
% 201.76/202.08  (define @t358 () (@quantifiers_skolemize @t357 0))
% 201.76/202.08  (define @t359 () (forall @t169 (not (forall @t163 (not (= @t166 @t356))))))
% 201.76/202.08  (define @t360 () (tptp.d2subst @t162))
% 201.76/202.08  (define @t361 () (not @t167))
% 201.76/202.08  (define @t362 () (forall @t163 @t361))
% 201.76/202.08  (define @t363 () (not @t362))
% 201.76/202.08  (define @t364 () (not (= @t321 @t356)))
% 201.76/202.08  (define @t365 () (forall @t163 @t364))
% 201.76/202.08  (define @t366 () (not @t365))
% 201.76/202.08  (define @t367 () (not @t357))
% 201.76/202.08  (define @t368 () (_ @t210 @t209 @t358))
% 201.76/202.08  (define @t369 () (= @t321 @t368))
% 201.76/202.08  (define @t370 () (= @t368 @t321))
% 201.76/202.08  (define @t371 () (not (not @t370)))
% 201.76/202.08  (define @t372 () (forall @t174 (not (= @t203 @t320))))
% 201.76/202.08  (define @t373 () (@quantifiers_skolemize @t372 0))
% 201.76/202.08  (define @t374 () (not (= @t320 @t203)))
% 201.76/202.08  (define @t375 () (forall @t174 @t374))
% 201.76/202.08  (define @t376 () (not @t375))
% 201.76/202.08  (define @t377 () (not @t372))
% 201.76/202.08  (define @t378 () (_ @t202 @t201 @t373))
% 201.76/202.08  (define @t379 () (= @t320 @t378))
% 201.76/202.08  (define @t380 () (= @t378 @t320))
% 201.76/202.08  (define @t381 () (not (not @t380)))
% 201.76/202.08  (define @t382 () (= @t236 @t297))
% 201.76/202.08  (define @t383 () (= tptp.d_one @t230))
% 201.76/202.08  (define @t384 () (= tptp.d_one @t373))
% 201.76/202.08  (define @t385 () (= tptp.d_id @t358))
% 201.76/202.08  (define @t386 () (= tptp.d_one @t339))
% 201.76/202.08  (define @t387 () (= tptp.d_one @t336))
% 201.76/202.08  (define @t388 () (= @t292 @t322))
% 201.76/202.08  (define @t389 () (= tptp.d_one @t307))
% 201.76/202.08  (define @t390 () (_ @t214 @t237 @t321))
% 201.76/202.08  (define @t391 () (_ @t215 @t390 @t318))
% 201.76/202.08  (define @t392 () (_ @t251 (_ @t250 @t249 @t391) @t317))
% 201.76/202.08  (define @t393 () (= @t236 @t231))
% 201.76/202.08  (define @t394 () (= @t322 @t392))
% 201.76/202.08  (define @t395 () (and @t382 @t232 @t379 @t383 @t384 @t369 @t385 @t353 @t345 @t386 @t387 @t388 @t313 @t389))
% 201.76/202.08  (define @t396 () (not @t383))
% 201.76/202.08  (define @t397 () (not @t232))
% 201.76/202.08  (define @t398 () (not @t382))
% 201.76/202.08  (define @t399 () (not @t394))
% 201.76/202.08  (define @t400 () (@quantifiers_skolemize @t301 0))
% 201.76/202.08  (define @t401 () (forall @t174 (not (= @t203 @t400))))
% 201.76/202.08  (define @t402 () (@quantifiers_skolemize @t401 0))
% 201.76/202.08  (define @t403 () (@list @t402))
% 201.76/202.08  (define @t404 () (not (= @t400 @t203)))
% 201.76/202.08  (define @t405 () (forall @t174 @t404))
% 201.76/202.08  (define @t406 () (not @t405))
% 201.76/202.08  (define @t407 () (not @t401))
% 201.76/202.08  (define @t408 () (_ @t202 @t201 @t402))
% 201.76/202.08  (define @t409 () (= @t400 @t408))
% 201.76/202.08  (define @t410 () (= @t408 @t400))
% 201.76/202.08  (define @t411 () (not (not @t410)))
% 201.76/202.08  (define @t412 () (= tptp.d_one @t402))
% 201.76/202.08  (define @t413 () (= @t236 @t400))
% 201.76/202.08  (define @t414 () (and @t409 @t412))
% 201.76/202.08  (define @t415 () (@list false false))
% 201.76/202.08  (define @t416 () (= @t236 (_ @t215 @t281 @t236)))
% 201.76/202.08  (define @t417 () (_ @t219 @t289 @t400))
% 201.76/202.08  (define @t418 () (_ @t220 @t417 @t211))
% 201.76/202.08  (define @t419 () (not @t418))
% 201.76/202.08  (define @t420 () (not @t413))
% 201.76/202.08  (define @t421 () (= @t236 @t292))
% 201.76/202.08  (define @t422 () (not @t421))
% 201.76/202.08  (define @t423 () (not @t416))
% 201.76/202.08  (define @t424 () (not @t293))
% 201.76/202.08  (define @t425 () (not @t424))
% 201.76/202.08  (define @t426 () (and @t416 @t382 @t424 @t421 @t413))
% 201.76/202.08  (define @t427 () (not @t300))
% 201.76/202.08  (define @t428 () (and @t416 @t382 @t424 @t421))
% 201.76/202.08  (define @t429 () (or @t419 (_ @t220 (_ @t219 @t289 (_ @t215 @t238 @t400)) @t211)))
% 201.76/202.08  (define @t430 () (not @t305))
% 201.76/202.08  (define @t431 () (not @t429))
% 201.76/202.08  (define @t432 () (not @t295))
% 201.76/202.08  (define @t433 () (not @t288))
% 201.76/202.08  (define @t434 () (forall @t27 (= @t252 @t259)))
% 201.76/202.08  (define @t435 () (not @t434))
% 201.76/202.08  (define @t436 () (or @t435 @t248 @t284))
% 201.76/202.08  (define @t437 () (forall @t261 @t436))
% 201.76/202.08  (define @t438 () (not @t437))
% 201.76/202.08  (define @t439 () (or @t286 @t438 @t283))
% 201.76/202.08  (define @t440 () (forall @t287 @t439))
% 201.76/202.08  (define @t441 () (or @t435 @t248))
% 201.76/202.08  (define @t442 () (forall @t261 @t441))
% 201.76/202.08  (define @t443 () (not @t442))
% 201.76/202.08  (define @t444 () (and @t262 @t443))
% 201.76/202.08  (define @t445 () (or @t264 @t444 @t243))
% 201.76/202.08  (define @t446 () (forall @t265 @t445))
% 201.76/202.08  (define @t447 () (not (= @t440 @t446)))
% 201.76/202.08  (define @t448 () (tptp.d2subst tptp.d_id))
% 201.76/202.08  (define @t449 () (not (_ @t2 @t448 @t8 @t448)))
% 201.76/202.08  (define @t450 () (not (forall @t14 (or @t449 (_ @t2 @t448 (_ @t4 @t448 @t8) @t448)))))
% 201.76/202.08  (define @t451 () (tptp.sub @t8 @t17))
% 201.76/202.08  (define @t452 () (tptp.comp @t20 @t17))
% 201.76/202.08  (define @t453 () (_ @t4 @t452 @t451))
% 201.76/202.08  (define @t454 () (_ @t4 @t20 @t8))
% 201.76/202.08  (define @t455 () (tptp.sub @t454 @t17))
% 201.76/202.08  (define @t456 () (forall @t27 (= @t455 @t453)))
% 201.76/202.08  (define @t457 () (not @t456))
% 201.76/202.08  (define @t458 () (or @t457 @t450))
% 201.76/202.08  (define @t459 () (forall @t31 @t458))
% 201.76/202.08  (define @t460 () (not @t459))
% 201.76/202.08  (define @t461 () (tptp.d2term tptp.d_one))
% 201.76/202.08  (define @t462 () (not (_ @t2 @t448 @t34 @t448)))
% 201.76/202.08  (define @t463 () (not (forall @t42 (or @t449 @t462 (_ @t2 @t448 (tptp.hoasap @t448 @t8 @t448 @t34) @t448)))))
% 201.76/202.08  (define @t464 () (@list @t2 @t240))
% 201.76/202.08  (define @t465 () (not (forall @t31 (or @t457 @t450 (_ @t2 @t448 (tptp.lam (_ @t4 @t448 @t461)) @t448)))))
% 201.76/202.08  (define @t466 () (not (forall @t42 (or @t449 @t462 (_ @t2 @t448 (tptp.ap (tptp.sub @t8 @t448) @t34) @t448)))))
% 201.76/202.08  (define @t467 () (forall @t100 (or @t466 @t465 (_ @t2 @t448 @t97 @t448))))
% 201.76/202.08  (define @t468 () (_ @t2 @t95 @t240 @t95))
% 201.76/202.08  (define @t469 () (_ @t2 @t95 @t96 @t95))
% 201.76/202.08  (define @t470 () (not @t469))
% 201.76/202.08  (define @t471 () (and @t470 @t460))
% 201.76/202.08  (define @t472 () (or @t463 @t471 @t468))
% 201.76/202.08  (define @t473 () (or @t469 @t459))
% 201.76/202.08  (define @t474 () (or @t463 (not @t473) @t468))
% 201.76/202.08  (define @t475 () (or @t469 @t458))
% 201.76/202.08  (define @t476 () (or @t457 @t450 @t469))
% 201.76/202.08  (define @t477 () (_ @t157 @t95 @t4))
% 201.76/202.08  (define @t478 () (_ @t2 @t95 @t477 @t95))
% 201.76/202.08  (define @t479 () (_ @t4 @t95 @t8))
% 201.76/202.08  (define @t480 () (_ @t2 @t95 @t479 @t95))
% 201.76/202.08  (define @t481 () (_ @t2 @t95 @t8 @t95))
% 201.76/202.08  (define @t482 () (not @t481))
% 201.76/202.08  (define @t483 () (or @t482 @t480))
% 201.76/202.08  (define @t484 () (forall @t14 @t483))
% 201.76/202.08  (define @t485 () (not @t484))
% 201.76/202.08  (define @t486 () (or @t457 @t485 @t478))
% 201.76/202.08  (define @t487 () (forall @t31 @t486))
% 201.76/202.08  (define @t488 () (not @t487))
% 201.76/202.08  (define @t489 () (tptp.hoasap @t95 @t8 @t95 @t34))
% 201.76/202.08  (define @t490 () (_ @t2 @t95 @t489 @t95))
% 201.76/202.08  (define @t491 () (_ @t2 @t95 @t34 @t95))
% 201.76/202.08  (define @t492 () (not @t491))
% 201.76/202.08  (define @t493 () (or @t482 @t492 @t490))
% 201.76/202.08  (define @t494 () (forall @t42 @t493))
% 201.76/202.08  (define @t495 () (not @t494))
% 201.76/202.08  (define @t496 () (or @t495 @t488 @t468))
% 201.76/202.08  (define @t497 () (forall @t464 @t496))
% 201.76/202.08  (define @t498 () (= @t467 @t497))
% 201.76/202.08  (define @t499 () (_ @t2 tptp.id @t240 tptp.id))
% 201.76/202.08  (define @t500 () (_ @t2 tptp.id (tptp.hoaslam tptp.id @t4) tptp.id))
% 201.76/202.08  (define @t501 () (_ @t4 tptp.id @t8))
% 201.76/202.08  (define @t502 () (_ @t2 tptp.id @t501 tptp.id))
% 201.76/202.08  (define @t503 () (_ @t2 tptp.id @t8 tptp.id))
% 201.76/202.08  (define @t504 () (not @t503))
% 201.76/202.08  (define @t505 () (or @t504 @t502))
% 201.76/202.08  (define @t506 () (forall @t14 @t505))
% 201.76/202.08  (define @t507 () (not @t506))
% 201.76/202.08  (define @t508 () (or @t457 @t507 @t500))
% 201.76/202.08  (define @t509 () (forall @t31 @t508))
% 201.76/202.08  (define @t510 () (not @t509))
% 201.76/202.08  (define @t511 () (tptp.hoasap tptp.id @t8 tptp.id @t34))
% 201.76/202.08  (define @t512 () (_ @t2 tptp.id @t511 tptp.id))
% 201.76/202.08  (define @t513 () (_ @t2 tptp.id @t34 tptp.id))
% 201.76/202.08  (define @t514 () (not @t513))
% 201.76/202.08  (define @t515 () (or @t504 @t514 @t512))
% 201.76/202.08  (define @t516 () (forall @t42 @t515))
% 201.76/202.08  (define @t517 () (not @t516))
% 201.76/202.08  (define @t518 () (or @t517 @t510 @t499))
% 201.76/202.08  (define @t519 () (forall @t464 @t518))
% 201.76/202.08  (define @t520 () (_ @t2 @t95 @t97 @t95))
% 201.76/202.08  (define @t521 () (or @t466 @t465 @t520))
% 201.76/202.08  (define @t522 () (_ @t4 @t95 @t96))
% 201.76/202.08  (define @t523 () (tptp.lam @t522))
% 201.76/202.08  (define @t524 () (_ @t2 @t95 @t523 @t95))
% 201.76/202.08  (define @t525 () (or @t457 @t450 @t524))
% 201.76/202.08  (define @t526 () (or @t457 @t485 @t524))
% 201.76/202.08  (define @t527 () (forall @t31 @t526))
% 201.76/202.08  (define @t528 () (not @t527))
% 201.76/202.08  (define @t529 () (tptp.sub @t8 @t95))
% 201.76/202.08  (define @t530 () (tptp.ap @t529 @t34))
% 201.76/202.08  (define @t531 () (_ @t2 @t95 @t530 @t95))
% 201.76/202.08  (define @t532 () (or @t482 @t492 @t531))
% 201.76/202.08  (define @t533 () (forall @t42 @t532))
% 201.76/202.08  (define @t534 () (not @t533))
% 201.76/202.08  (define @t535 () (or @t534 @t528 @t520))
% 201.76/202.08  (define @t536 () (forall @t100 @t535))
% 201.76/202.08  (define @t537 () (_ @t2 tptp.id @t97 tptp.id))
% 201.76/202.08  (define @t538 () (_ @t4 tptp.sh tptp.one))
% 201.76/202.08  (define @t539 () (tptp.lam @t538))
% 201.76/202.08  (define @t540 () (_ @t2 tptp.id @t539 tptp.id))
% 201.76/202.08  (define @t541 () (or @t457 @t507 @t540))
% 201.76/202.08  (define @t542 () (forall @t31 @t541))
% 201.76/202.08  (define @t543 () (not @t542))
% 201.76/202.08  (define @t544 () (tptp.sub @t8 tptp.id))
% 201.76/202.08  (define @t545 () (tptp.ap @t544 @t34))
% 201.76/202.08  (define @t546 () (_ @t2 tptp.id @t545 tptp.id))
% 201.76/202.08  (define @t547 () (or @t504 @t514 @t546))
% 201.76/202.08  (define @t548 () (forall @t42 @t547))
% 201.76/202.08  (define @t549 () (not @t548))
% 201.76/202.08  (define @t550 () (or @t549 @t543 @t537))
% 201.76/202.08  (define @t551 () (forall @t100 @t550))
% 201.76/202.08  (define @t552 () (or @t549 @t543 @t98))
% 201.76/202.08  (define @t553 () (or @t457 @t507 @t7))
% 201.76/202.08  (define @t554 () (= tptp.hoasinduction_no_psi_cond @t519))
% 201.76/202.08  (define @t555 () (@list @t240))
% 201.76/202.08  (define @t556 () (forall @t555 @t518))
% 201.76/202.08  (define @t557 () (forall @t555 @t499))
% 201.76/202.08  (define @t558 () (or @t517 @t510 @t557))
% 201.76/202.08  (define @t559 () (forall @t14 @t503))
% 201.76/202.08  (define @t560 () (or @t517 @t510 @t559))
% 201.76/202.08  (define @t561 () (=> @t509 @t559))
% 201.76/202.08  (define @t562 () (lambda @t183 @t454))
% 201.76/202.08  (define @t563 () (tptp.hoaslam tptp.id @t562))
% 201.76/202.08  (define @t564 () (_ @t2 tptp.id @t563 tptp.id))
% 201.76/202.08  (define @t565 () (or @t457 @t507 @t564))
% 201.76/202.08  (define @t566 () (or @t457 @t507 @t187))
% 201.76/202.08  (define @t567 () (=> @t506 @t187))
% 201.76/202.08  (define @t568 () (or @t12 @t40 @t194))
% 201.76/202.08  (define @t569 () (not @t266))
% 201.76/202.08  (define @t570 () (@quantifiers_skolemize @t266 1))
% 201.76/202.08  (define @t571 () (_ @t220 (_ @t219 @t267 @t570) @t211))
% 201.76/202.08  (define @t572 () (forall @t261 (or @t260 (not (forall @t14 (or @t268 (_ @t220 (_ @t219 @t267 @t246) @t211)))))))
% 201.76/202.08  (define @t573 () (not @t572))
% 201.76/202.08  (define @t574 () (_ @t219 @t267 @t236))
% 201.76/202.08  (define @t575 () (_ @t220 @t574 @t211))
% 201.76/202.08  (define @t576 () (not @t575))
% 201.76/202.08  (define @t577 () (and @t576 @t573))
% 201.76/202.08  (define @t578 () (or (not (forall @t42 (or @t268 (not (_ @t220 (_ @t219 @t267 @t34) @t211)) (_ @t220 (_ @t219 @t267 @t216) @t211)))) @t577 @t571))
% 201.76/202.08  (define @t579 () (not @t578))
% 201.76/202.08  (define @t580 () (@list @t578))
% 201.76/202.08  (define @t581 () (forall @t174 (not (= @t203 @t570))))
% 201.76/202.08  (define @t582 () (@quantifiers_skolemize @t581 0))
% 201.76/202.08  (define @t583 () (not (= @t570 @t203)))
% 201.76/202.08  (define @t584 () (forall @t174 @t583))
% 201.76/202.08  (define @t585 () (not @t584))
% 201.76/202.08  (define @t586 () (not @t581))
% 201.76/202.08  (define @t587 () (_ @t202 @t201 @t582))
% 201.76/202.08  (define @t588 () (= @t570 @t587))
% 201.76/202.08  (define @t589 () (= @t587 @t570))
% 201.76/202.08  (define @t590 () (not (not @t589)))
% 201.76/202.08  (define @t591 () (not @t571))
% 201.76/202.08  (define @t592 () (= tptp.d_one @t582))
% 201.76/202.08  (define @t593 () (not @t592))
% 201.76/202.08  (define @t594 () (not @t588))
% 201.76/202.08  (define @t595 () (not @t591))
% 201.76/202.08  (define @t596 () (and @t591 @t588 @t592))
% 201.76/202.08  (define @t597 () (not @t269))
% 201.76/202.08  (define @t598 () (or @t304 @t597))
% 201.76/202.08  (define @t599 () (_ @t219 @t267 @t270))
% 201.76/202.08  (define @t600 () (_ @t220 @t599 @t211))
% 201.76/202.08  (define @t601 () (not @t600))
% 201.76/202.08  (define @t602 () (or @t601 (_ @t220 (_ @t219 @t267 (_ @t215 @t238 @t270)) @t211)))
% 201.76/202.08  (define @t603 () (not @t602))
% 201.76/202.08  (define @t604 () (= @t236 @t270))
% 201.76/202.08  (define @t605 () (not @t604))
% 201.76/202.08  (define @t606 () (and @t604 @t600 @t592 @t588 @t591))
% 201.76/202.08  (define @t607 () (= @t222 @t270))
% 201.76/202.08  (define @t608 () (not @t607))
% 201.76/202.08  (define @t609 () (and @t232 @t383 @t605))
% 201.76/202.08  (define @t610 () (= tptp.d_one @t276))
% 201.76/202.08  (define @t611 () (and @t232 @t383 @t278 @t610))
% 201.76/202.08  (assume @p1 (and @t181 @t175 (forall (@list @t172 @t171) (=> (= (_ tptp.d2term @t172) (_ tptp.d2term @t171)) (= @t172 @t171))) @t170 @t164 (forall (@list @t161 @t160) (=> (= (_ tptp.d2subst @t161) (_ tptp.d2subst @t160)) (= @t161 @t160))) (= tptp.one @t96) (= (_ (_ tptp.ap @t96) @t96) @t96) (= @t159 @t96) (= (_ (_ tptp.sub @t96) @t95) @t96) (= tptp.id @t95) (= tptp.sh @t95) (= (_ (_ tptp.push @t96) @t95) @t95) (= (_ (_ tptp.comp @t95) @t95) @t95) (= @t158 @t96) (= tptp.hoaslam @t157) (= tptp.hoasinduction_p_and_p_prime (lambda (@list @t2 @t53) @t61)) (= tptp.pushprop_p_and_p_prime (lambda (@list @t8 @t20 @t66 @t53) @t83)) (not (_ tptp.var @t96)) (= tptp.pushprop_lem1v2 @t141) tptp.pushprop_lem1_gthm tptp.axmap tptp.pushprop_lem0_gthm (= tptp.shinj (forall @t42 (or (not (= (_ @t18 tptp.sh) (_ @t110 tptp.sh))) @t121))) tptp.hoasinduction_lem1v2 tptp.hoasinduction_lem1v2_gthm (= tptp.induction2lem @t114) (= tptp.hoasinduction_lem3v2_f @t115) tptp.axvarshift (= tptp.hoasapinj2 @t135) tptp.hoasapnotvar_gthm (= tptp.hoasapinj1 @t131) (not tptp.ulamvar1) (= tptp.induction2lem_lthm (=> @t92 (=> @t88 (=> @t106 (=> @t140 @t114))))) tptp.hoasinduction_lem3v2_gthm tptp.apnotvar tptp.pushprop_lthm_orig (= tptp.hoasinduction_lem3v2_f_lthm @t115) (= tptp.hoasinduction_lthm (=> @t76 (=> @t144 (=> @t117 @t51)))) (= tptp.hoasinduction_no_psi_cond_lthm (=> @t79 (=> @t76 (=> @t64 (=> @t63 @t101))))) (= tptp.hoaslaminj @t126) (= tptp.hoasinduction_lem3aaa (forall (@list @t2 @t145) (or (not (forall (@list @t4 @t152) (or @t16 @t7 (not (forall (@list @t155 @t156 @t154) (= (_ (_ tptp.sub (_ (_ @t4 @t155) @t156)) @t154) (_ (_ tptp.sub (_ @t153 (_ (_ tptp.push @t156) @t155))) @t154)))) (not (forall (@list @t148 @t150 @t147) (= (_ (_ @t4 @t149) @t151) (_ @t153 (_ (_ tptp.push @t151) @t149)))))))) (not (forall @t57 (or @t40 (_ (_ @t3 (_ @t146 @t55)) tptp.id)))) (_ (_ @t3 (_ tptp.lam (_ @t146 @t109))) tptp.id)))) tptp.induction2lem_gthm (= tptp.hoasinduction_lem3aa_lthm @t120) (= tptp.hoasinduction_lem3 @t117) (= tptp.hoasinduction_lem2 @t144) (= tptp.termmset_lthm (=> @t64 @t64)) tptp.hoasinduction_lem1 tptp.hoaslamnotap_lthm (= tptp.pushprop_lem1v2_lthm (=> @t92 @t141)) tptp.hoasapnotvar (= tptp.hoasinduction_lem0 @t79) (= tptp.hoasinduction @t51) tptp.hoasinduction_gthm tptp.axapp tptp.hoaslamnotvar_lthm tptp.pushprop_lem3v2_lthm (= tptp.hoasinduction_lem3b_lthm @t111) tptp.ulamvarind (= tptp.induction @t140) (= tptp.hoasinduction_lem3a_lthm (=> @t64 (=> @t120 @t104))) tptp.termmset_gthm (= tptp.hoasinduction_lem3aa @t120) tptp.pushprop_lem1v2_gthm tptp.hoaslamnotap_gthm tptp.hoaslamnotvar_gthm tptp.hoasinduction_lem3b_gthm tptp.pushprop_lem2v2 tptp.hoasinduction_lem3a_gthm tptp.axclos tptp.axassoc (= tptp.hoasinduction_lem2v2 (forall (@list @t2 @t53 @t138 @t137) (or @t50 @t49 @t44 @t62 (not (_ @t53 @t138)) (not (_ @t53 @t137)) (_ @t53 (_ (_ tptp.ap @t138) @t137))))) tptp.pushprop_lthm (= tptp.apinj2 @t136) (= tptp.apinj1 @t133) (= tptp.hoasapinj2_lthm (=> @t136 @t135)) (= tptp.hoasinduction_lem3v2a @t63) (= tptp.hoasapinj1_lthm (=> @t64 (=> @t133 @t131))) (= tptp.hoaslaminj_lthm (=> @t92 (=> @t88 (=> @t122 @t126)))) (= tptp.axvarcons @t92) (= tptp.axscons (forall @t105 (= @t20 (_ (_ tptp.push (_ @t91 @t20)) (_ @t86 @t20))))) tptp.hoasinduction_lem2v2_gthm (= tptp.axidr @t106) (= tptp.pushprop_lem1 @t90) (= tptp.laminj @t122) (= tptp.hoasinduction_lem3_lthm (=> @t64 (=> @t120 @t117))) (= tptp.pushprop_lem0 @t85) tptp.pushprop_gthm tptp.axabs (= tptp.hoasinduction_lem3v2a_lthm (=> @t115 (=> @t64 @t63))) tptp.hoasinduction_lem2_lthm tptp.hoasapinj2_gthm tptp.hoasinduction_lem1_lthm (not tptp.lamnotap) tptp.hoasapinj1_gthm tptp.hoaslamnotvar (= tptp.axidl @t107) tptp.hoaslaminj_gthm (= tptp.induction2_lthm (=> @t64 (=> @t114 @t76))) (= tptp.hoasinduction_lem0_lthm @t79) (= tptp.substmonoid_lthm (=> @t107 (=> @t106 @t108))) tptp.pushprop tptp.hoasinduction_lem3_gthm tptp.hoasinduction_lem2_gthm (= tptp.hoasinduction_lem3b @t111) (= tptp.substmonoid @t108) tptp.lamnotvar (= tptp.hoasinduction_lem3a @t104) tptp.hoasinduction_lem1_gthm @t102 tptp.induction2_gthm tptp.pushprop_lem2v2_lthm (not (_ (_ (_ tptp.hoasvar @t95) @t96) @t95)) (= tptp.hoaslamnotap (forall (@list @t4 @t94 @t93) (or @t29 (not (= @t6 (_ (_ tptp.ap (_ (_ tptp.sub @t94) tptp.id)) @t93)))))) tptp.substmonoid_gthm tptp.ulamvarsh (= tptp.induction2 @t76) tptp.pushprop_lem3v2 tptp.pushprop_lem2v2_gthm (= tptp.pushprop_lem1_lthm (=> @t92 (=> @t88 @t90))) (= tptp.hoasinduction_lem3v2 @t81) (= tptp.axshiftcons @t88) (= tptp.termmset @t64) (= tptp.pushprop_lem0_lthm @t85) tptp.hoasapnotvar_lthm (= tptp.hoasinduction_lem3v2_lthm (=> @t64 @t81)) (= tptp.axvarid @t64) (= tptp.hoasinduction_lthm_3 (=> @t79 (=> @t76 (=> @t64 (=> @t63 @t51)))))))
% 201.76/202.08  (assume @p2 @t200)
% 201.76/202.08  (assume @p3 true)
% 201.76/202.08  ; WARNING: add trust step for TRUST
% 201.76/202.08  ; trust TRUST PREPROCESS_HO_ELIM
% 201.76/202.08  (step @p4 :rule trust :premises () :args ((= (forall @t180 (not (forall @t174 (not (= @t177 @t205))))) @t204)))
% 201.76/202.08  (step @p5 :rule refl :args (@t205))
% 201.76/202.08  (step @p6 :rule refl :args (@t176))
% 201.76/202.08  (step @p7 :rule cong :premises (@p6 @p5) :args ((= @t176 @t205)))
% 201.76/202.08  (step @p8 :rule symm :premises (@p7))
% 201.76/202.08  (step @p9 :rule eq_resolve :premises (@p6 @p8))
% 201.76/202.08  (step @p10 :rule refl :args (@t177))
% 201.76/202.08  (step @p11 :rule cong :premises (@p10 @p9) :args (@t178))
% 201.76/202.08  (step @p12 :rule cong :premises (@p11) :args (@t206))
% 201.76/202.08  (step @p13 :rule cong :premises (@p12) :args (@t207))
% 201.76/202.08  (step @p14 :rule cong :premises (@p13) :args (@t208))
% 201.76/202.08  (step @p15 :rule exists-elim :args ((= @t179 @t208)))
% 201.76/202.08  (step @p16 :rule trans :premises (@p15 @p14))
% 201.76/202.08  (step @p17 :rule cong :premises (@p16) :args (@t181))
% 201.76/202.08  (step @p18 :rule trans :premises (@p17 @p4))
% 201.76/202.08  (step @p19 :rule and_elim :premises (@p1) :args (0))
% 201.76/202.08  (step @p20 :rule eq_resolve :premises (@p19 @p18))
% 201.76/202.08  (step @p21 :rule eq-symm :args (@t222 @t203))
% 201.76/202.08  (step @p22 :rule cong :premises (@p21) :args (@t223))
% 201.76/202.08  (step @p23 :rule cong :premises (@p22) :args (@t224))
% 201.76/202.08  (step @p24 :rule cong :premises (@p23) :args (@t225))
% 201.76/202.08  (step @p25 :rule refl :args (@t204))
% 201.76/202.08  (step @p26 :rule cong :premises (@p25 @p24) :args ((=> @t204 @t225)))
% 201.76/202.08  (assume-push @p1229 @t204)
% 201.76/202.08  (step @p28 :rule instantiate :premises (@p20) :args ((@list @t222)))
% 201.76/202.08  (step-pop @p1230 :rule scope :premises (@p28))
% 201.76/202.08  (step @p29 :rule process_scope :premises (@p1230) :args (@t225))
% 201.76/202.08  (step @p31 :rule eq_resolve :premises (@p29 @p26))
% 201.76/202.08  (step @p32 :rule implies_elim :premises (@p31))
% 201.76/202.08  (step @p33 :rule chain_m_resolution :premises (@p32 @p20) :args (@t227 @t228 @t229))
% 201.76/202.08  (step @p34 :rule refl :args (@t232))
% 201.76/202.08  (step @p35 :rule bool-double-not-elim :args (@t226))
% 201.76/202.08  (step @p36 :rule nary_cong :premises (@p35 @p34) :args ((or (not @t227) @t232)))
% 201.76/202.08  (step @p37 :rule eq-symm :args (@t231 @t222))
% 201.76/202.08  (step @p38 :rule bool-double-not-elim :args (@t233))
% 201.76/202.08  (step @p39 :rule trans :premises (@p38 @p37))
% 201.76/202.08  (step @p40 :rule refl :args (@t227))
% 201.76/202.08  (step @p41 :rule cong :premises (@p40 @p39) :args ((=> @t227 @t234)))
% 201.76/202.08  (assume-push @p1231 @t227)
% 201.76/202.08  (step @p43 :rule skolemize :premises (@p33))
% 201.76/202.08  (step-pop @p1232 :rule scope :premises (@p43))
% 201.76/202.08  (step @p44 :rule process_scope :premises (@p1232) :args (@t234))
% 201.76/202.08  (step @p46 :rule eq_resolve :premises (@p44 @p41))
% 201.76/202.08  (step @p47 :rule implies_elim :premises (@p46))
% 201.76/202.08  (step @p48 :rule eq_resolve :premises (@p47 @p36))
% 201.76/202.08  (step @p49 :rule chain_m_resolution :premises (@p48 @p33) :args (@t232 @t235 (@list @t226)))
% 201.76/202.08  (step @p50 :rule eq-symm :args (@t173 tptp.d_one))
% 201.76/202.08  (step @p51 :rule cong :premises (@p50) :args (@t175))
% 201.76/202.08  (step @p52 :rule and_elim :premises (@p1) :args (1))
% 201.76/202.08  (step @p53 :rule eq_resolve :premises (@p52 @p51))
% 201.76/202.08  (step @p54 :rule instantiate :premises (@p53) :args ((@list @t230)))
% 201.76/202.08  (step @p55 :rule eq-symm :args (@t270 @t203))
% 201.76/202.08  (step @p56 :rule cong :premises (@p55) :args (@t271))
% 201.76/202.08  (step @p57 :rule cong :premises (@p56) :args (@t272))
% 201.76/202.08  (step @p58 :rule cong :premises (@p57) :args (@t273))
% 201.76/202.08  (step @p59 :rule cong :premises (@p25 @p58) :args ((=> @t204 @t273)))
% 201.76/202.08  (assume-push @p1233 @t204)
% 201.76/202.08  (step @p61 :rule instantiate :premises (@p20) :args ((@list @t270)))
% 201.76/202.08  (step-pop @p1234 :rule scope :premises (@p61))
% 201.76/202.08  (step @p62 :rule process_scope :premises (@p1234) :args (@t273))
% 201.76/202.08  (step @p64 :rule eq_resolve :premises (@p62 @p59))
% 201.76/202.08  (step @p65 :rule implies_elim :premises (@p64))
% 201.76/202.08  (step @p66 :rule chain_m_resolution :premises (@p65 @p20) :args (@t275 @t228 @t229))
% 201.76/202.08  (step @p67 :rule refl :args (@t278))
% 201.76/202.08  (step @p68 :rule bool-double-not-elim :args (@t274))
% 201.76/202.08  (step @p69 :rule nary_cong :premises (@p68 @p67) :args ((or (not @t275) @t278)))
% 201.76/202.08  (step @p70 :rule eq-symm :args (@t277 @t270))
% 201.76/202.08  (step @p71 :rule bool-double-not-elim :args (@t279))
% 201.76/202.08  (step @p72 :rule trans :premises (@p71 @p70))
% 201.76/202.08  (step @p73 :rule refl :args (@t275))
% 201.76/202.08  (step @p74 :rule cong :premises (@p73 @p72) :args ((=> @t275 @t280)))
% 201.76/202.08  (assume-push @p1235 @t275)
% 201.76/202.08  (step @p76 :rule skolemize :premises (@p66))
% 201.76/202.08  (step-pop @p1236 :rule scope :premises (@p76))
% 201.76/202.08  (step @p77 :rule process_scope :premises (@p1236) :args (@t280))
% 201.76/202.08  (step @p79 :rule eq_resolve :premises (@p77 @p74))
% 201.76/202.08  (step @p80 :rule implies_elim :premises (@p79))
% 201.76/202.08  (step @p81 :rule eq_resolve :premises (@p80 @p69))
% 201.76/202.08  (step @p82 :rule chain_m_resolution :premises (@p81 @p66) :args (@t278 @t235 (@list @t274)))
% 201.76/202.08  (step @p83 :rule bool-double-not-elim :args (@t291))
% 201.76/202.08  (step @p84 :rule refl :args (@t295))
% 201.76/202.08  (step @p85 :rule nary_cong :premises (@p84 @p83) :args ((or @t295 (not @t294))))
% 201.76/202.08  (step @p86 :rule cnf_or_neg :args (@t295 1))
% 201.76/202.08  (step @p87 :rule eq_resolve :premises (@p86 @p85))
% 201.76/202.08  (step @p88 :rule reordering :premises (@p87) :args ((or @t291 @t295)))
% 201.76/202.08  (step @p89 :rule cnf_or_neg :args (@t295 2))
% 201.76/202.08  (assume-push @p1237 @t291)
% 201.76/202.08  (step @p91 :rule instantiate :premises (@p1237) :args (@t296))
% 201.76/202.08  (step-pop @p1238 :rule scope :premises (@p91))
% 201.76/202.08  (step @p92 :rule process_scope :premises (@p1238) :args (@t305))
% 201.76/202.08  (step @p94 :rule implies_elim :premises (@p92))
% 201.76/202.08  (step @p95 :rule instantiate :premises (@p53) :args ((@list @t307)))
% 201.76/202.08  (step @p96 :rule eq-symm :args (@t292 @t203))
% 201.76/202.08  (step @p97 :rule cong :premises (@p96) :args (@t308))
% 201.76/202.08  (step @p98 :rule cong :premises (@p97) :args (@t309))
% 201.76/202.08  (step @p99 :rule cong :premises (@p98) :args (@t310))
% 201.76/202.08  (step @p100 :rule cong :premises (@p25 @p99) :args ((=> @t204 @t310)))
% 201.76/202.08  (assume-push @p1239 @t204)
% 201.76/202.08  (step @p102 :rule instantiate :premises (@p20) :args ((@list @t292)))
% 201.76/202.08  (step-pop @p1240 :rule scope :premises (@p102))
% 201.76/202.08  (step @p103 :rule process_scope :premises (@p1240) :args (@t310))
% 201.76/202.08  (step @p105 :rule eq_resolve :premises (@p103 @p100))
% 201.76/202.08  (step @p106 :rule implies_elim :premises (@p105))
% 201.76/202.08  (step @p107 :rule chain_m_resolution :premises (@p106 @p20) :args (@t311 @t228 @t229))
% 201.76/202.08  (step @p108 :rule refl :args (@t313))
% 201.76/202.08  (step @p109 :rule bool-double-not-elim :args (@t306))
% 201.76/202.08  (step @p110 :rule nary_cong :premises (@p109 @p108) :args ((or (not @t311) @t313)))
% 201.76/202.08  (step @p111 :rule eq-symm :args (@t312 @t292))
% 201.76/202.08  (step @p112 :rule bool-double-not-elim :args (@t314))
% 201.76/202.08  (step @p113 :rule trans :premises (@p112 @p111))
% 201.76/202.08  (step @p114 :rule refl :args (@t311))
% 201.76/202.08  (step @p115 :rule cong :premises (@p114 @p113) :args ((=> @t311 @t315)))
% 201.76/202.08  (assume-push @p1241 @t311)
% 201.76/202.08  (step @p117 :rule skolemize :premises (@p107))
% 201.76/202.08  (step-pop @p1242 :rule scope :premises (@p117))
% 201.76/202.08  (step @p118 :rule process_scope :premises (@p1242) :args (@t315))
% 201.76/202.08  (step @p120 :rule eq_resolve :premises (@p118 @p115))
% 201.76/202.08  (step @p121 :rule implies_elim :premises (@p120))
% 201.76/202.08  (step @p122 :rule eq_resolve :premises (@p121 @p110))
% 201.76/202.08  (step @p123 :rule chain_m_resolution :premises (@p122 @p107) :args (@t313 @t235 @t316))
% 201.76/202.08  (step @p124 :rule eq-symm :args (@t322 @t203))
% 201.76/202.08  (step @p125 :rule cong :premises (@p124) :args (@t323))
% 201.76/202.08  (step @p126 :rule cong :premises (@p125) :args (@t324))
% 201.76/202.08  (step @p127 :rule cong :premises (@p126) :args (@t325))
% 201.76/202.08  (step @p128 :rule cong :premises (@p25 @p127) :args ((=> @t204 @t325)))
% 201.76/202.08  (assume-push @p1243 @t204)
% 201.76/202.08  (step @p130 :rule instantiate :premises (@p20) :args ((@list @t322)))
% 201.76/202.08  (step-pop @p1244 :rule scope :premises (@p130))
% 201.76/202.08  (step @p131 :rule process_scope :premises (@p1244) :args (@t325))
% 201.76/202.08  (step @p133 :rule eq_resolve :premises (@p131 @p128))
% 201.76/202.08  (step @p134 :rule implies_elim :premises (@p133))
% 201.76/202.08  (step @p135 :rule chain_m_resolution :premises (@p134 @p20) :args (@t327 @t228 @t229))
% 201.76/202.08  (step @p136 :rule refl :args (@t330))
% 201.76/202.08  (step @p137 :rule bool-double-not-elim :args (@t326))
% 201.76/202.08  (step @p138 :rule nary_cong :premises (@p137 @p136) :args ((or (not @t327) @t330)))
% 201.76/202.08  (step @p139 :rule eq-symm :args (@t329 @t322))
% 201.76/202.08  (step @p140 :rule bool-double-not-elim :args (@t331))
% 201.76/202.08  (step @p141 :rule trans :premises (@p140 @p139))
% 201.76/202.08  (step @p142 :rule refl :args (@t327))
% 201.76/202.08  (step @p143 :rule cong :premises (@p142 @p141) :args ((=> @t327 @t332)))
% 201.76/202.08  (assume-push @p1245 @t327)
% 201.76/202.08  (step @p145 :rule skolemize :premises (@p135))
% 201.76/202.08  (step-pop @p1246 :rule scope :premises (@p145))
% 201.76/202.08  (step @p146 :rule process_scope :premises (@p1246) :args (@t332))
% 201.76/202.08  (step @p148 :rule eq_resolve :premises (@p146 @p143))
% 201.76/202.08  (step @p149 :rule implies_elim :premises (@p148))
% 201.76/202.08  (step @p150 :rule eq_resolve :premises (@p149 @p138))
% 201.76/202.08  (step @p151 :rule chain_m_resolution :premises (@p150 @p135) :args (@t330 @t235 (@list @t326)))
% 201.76/202.08  (step @p152 :rule symm :premises (@p151))
% 201.76/202.08  (step @p153 :rule instantiate :premises (@p53) :args ((@list @t328)))
% 201.76/202.08  (step @p154 :rule refl :args (@t201))
% 201.76/202.08  (step @p155 :rule cong :premises (@p154 @p153) :args (@t236))
% 201.76/202.08  (step @p156 :rule symm :premises (@p95))
% 201.76/202.08  (step @p157 :rule cong :premises (@p154 @p156) :args (@t312))
% 201.76/202.08  (step @p158 :rule trans :premises (@p123 @p157 @p155 @p152))
% 201.76/202.08  (step @p159 :rule instantiate :premises (@p53) :args (@t337))
% 201.76/202.08  (step @p160 :rule instantiate :premises (@p53) :args ((@list @t339)))
% 201.76/202.08  (step @p161 :rule eq-symm :args (@t334 @t203))
% 201.76/202.08  (step @p162 :rule cong :premises (@p161) :args (@t340))
% 201.76/202.08  (step @p163 :rule cong :premises (@p162) :args (@t341))
% 201.76/202.08  (step @p164 :rule cong :premises (@p163) :args (@t342))
% 201.76/202.08  (step @p165 :rule cong :premises (@p25 @p164) :args ((=> @t204 @t342)))
% 201.76/202.08  (assume-push @p1247 @t204)
% 201.76/202.08  (step @p167 :rule instantiate :premises (@p20) :args ((@list @t334)))
% 201.76/202.08  (step-pop @p1248 :rule scope :premises (@p167))
% 201.76/202.08  (step @p168 :rule process_scope :premises (@p1248) :args (@t342))
% 201.76/202.08  (step @p170 :rule eq_resolve :premises (@p168 @p165))
% 201.76/202.08  (step @p171 :rule implies_elim :premises (@p170))
% 201.76/202.08  (step @p172 :rule chain_m_resolution :premises (@p171 @p20) :args (@t343 @t228 @t229))
% 201.76/202.08  (step @p173 :rule refl :args (@t345))
% 201.76/202.08  (step @p174 :rule bool-double-not-elim :args (@t335))
% 201.76/202.08  (step @p175 :rule nary_cong :premises (@p174 @p173) :args ((or (not @t343) @t345)))
% 201.76/202.08  (step @p176 :rule eq-symm :args (@t344 @t334))
% 201.76/202.08  (step @p177 :rule bool-double-not-elim :args (@t346))
% 201.76/202.08  (step @p178 :rule trans :premises (@p177 @p176))
% 201.76/202.08  (step @p179 :rule refl :args (@t343))
% 201.76/202.08  (step @p180 :rule cong :premises (@p179 @p178) :args ((=> @t343 @t347)))
% 201.76/202.08  (assume-push @p1249 @t343)
% 201.76/202.08  (step @p182 :rule skolemize :premises (@p172))
% 201.76/202.08  (step-pop @p1250 :rule scope :premises (@p182))
% 201.76/202.08  (step @p183 :rule process_scope :premises (@p1250) :args (@t347))
% 201.76/202.08  (step @p185 :rule eq_resolve :premises (@p183 @p180))
% 201.76/202.08  (step @p186 :rule implies_elim :premises (@p185))
% 201.76/202.08  (step @p187 :rule eq_resolve :premises (@p186 @p175))
% 201.76/202.08  (step @p188 :rule chain_m_resolution :premises (@p187 @p172) :args (@t345 @t235 (@list @t335)))
% 201.76/202.08  (step @p189 :rule eq-symm :args (@t318 @t203))
% 201.76/202.08  (step @p190 :rule cong :premises (@p189) :args (@t348))
% 201.76/202.08  (step @p191 :rule cong :premises (@p190) :args (@t349))
% 201.76/202.08  (step @p192 :rule cong :premises (@p191) :args (@t350))
% 201.76/202.08  (step @p193 :rule cong :premises (@p25 @p192) :args ((=> @t204 @t350)))
% 201.76/202.08  (assume-push @p1251 @t204)
% 201.76/202.08  (step @p195 :rule instantiate :premises (@p20) :args ((@list @t318)))
% 201.76/202.08  (step-pop @p1252 :rule scope :premises (@p195))
% 201.76/202.08  (step @p196 :rule process_scope :premises (@p1252) :args (@t350))
% 201.76/202.08  (step @p198 :rule eq_resolve :premises (@p196 @p193))
% 201.76/202.08  (step @p199 :rule implies_elim :premises (@p198))
% 201.76/202.08  (step @p200 :rule chain_m_resolution :premises (@p199 @p20) :args (@t351 @t228 @t229))
% 201.76/202.08  (step @p201 :rule refl :args (@t353))
% 201.76/202.08  (step @p202 :rule bool-double-not-elim :args (@t338))
% 201.76/202.08  (step @p203 :rule nary_cong :premises (@p202 @p201) :args ((or (not @t351) @t353)))
% 201.76/202.08  (step @p204 :rule eq-symm :args (@t352 @t318))
% 201.76/202.08  (step @p205 :rule bool-double-not-elim :args (@t354))
% 201.76/202.08  (step @p206 :rule trans :premises (@p205 @p204))
% 201.76/202.08  (step @p207 :rule refl :args (@t351))
% 201.76/202.08  (step @p208 :rule cong :premises (@p207 @p206) :args ((=> @t351 @t355)))
% 201.76/202.08  (assume-push @p1253 @t351)
% 201.76/202.08  (step @p210 :rule skolemize :premises (@p200))
% 201.76/202.08  (step-pop @p1254 :rule scope :premises (@p210))
% 201.76/202.08  (step @p211 :rule process_scope :premises (@p1254) :args (@t355))
% 201.76/202.08  (step @p213 :rule eq_resolve :premises (@p211 @p208))
% 201.76/202.08  (step @p214 :rule implies_elim :premises (@p213))
% 201.76/202.08  (step @p215 :rule eq_resolve :premises (@p214 @p203))
% 201.76/202.08  (step @p216 :rule chain_m_resolution :premises (@p215 @p200) :args (@t353 @t235 (@list @t338)))
% 201.76/202.08  (step @p217 :rule eq-symm :args (@t162 tptp.d_id))
% 201.76/202.08  (step @p218 :rule cong :premises (@p217) :args (@t164))
% 201.76/202.08  (step @p219 :rule and_elim :premises (@p1) :args (4))
% 201.76/202.08  (step @p220 :rule eq_resolve :premises (@p219 @p218))
% 201.76/202.08  (step @p221 :rule instantiate :premises (@p220) :args ((@list @t358)))
% 201.76/202.08  ; trust TRUST PREPROCESS_HO_ELIM
% 201.76/202.08  (step @p222 :rule trust :premises () :args ((= (forall @t169 (not (forall @t163 (not (= @t166 @t360))))) @t359)))
% 201.76/202.08  (step @p223 :rule refl :args (@t360))
% 201.76/202.08  (step @p224 :rule refl :args (@t165))
% 201.76/202.08  (step @p225 :rule cong :premises (@p224 @p223) :args ((= @t165 @t360)))
% 201.76/202.08  (step @p226 :rule symm :premises (@p225))
% 201.76/202.08  (step @p227 :rule eq_resolve :premises (@p224 @p226))
% 201.76/202.08  (step @p228 :rule refl :args (@t166))
% 201.76/202.08  (step @p229 :rule cong :premises (@p228 @p227) :args (@t167))
% 201.76/202.08  (step @p230 :rule cong :premises (@p229) :args (@t361))
% 201.76/202.08  (step @p231 :rule cong :premises (@p230) :args (@t362))
% 201.76/202.08  (step @p232 :rule cong :premises (@p231) :args (@t363))
% 201.76/202.08  (step @p233 :rule exists-elim :args ((= @t168 @t363)))
% 201.76/202.08  (step @p234 :rule trans :premises (@p233 @p232))
% 201.76/202.08  (step @p235 :rule cong :premises (@p234) :args (@t170))
% 201.76/202.08  (step @p236 :rule trans :premises (@p235 @p222))
% 201.76/202.08  (step @p237 :rule and_elim :premises (@p1) :args (3))
% 201.76/202.08  (step @p238 :rule eq_resolve :premises (@p237 @p236))
% 201.76/202.08  (step @p239 :rule eq-symm :args (@t321 @t356))
% 201.76/202.08  (step @p240 :rule cong :premises (@p239) :args (@t364))
% 201.76/202.08  (step @p241 :rule cong :premises (@p240) :args (@t365))
% 201.76/202.08  (step @p242 :rule cong :premises (@p241) :args (@t366))
% 201.76/202.08  (step @p243 :rule refl :args (@t359))
% 201.76/202.08  (step @p244 :rule cong :premises (@p243 @p242) :args ((=> @t359 @t366)))
% 201.76/202.08  (assume-push @p1255 @t359)
% 201.76/202.08  (step @p246 :rule instantiate :premises (@p238) :args ((@list @t321)))
% 201.76/202.08  (step-pop @p1256 :rule scope :premises (@p246))
% 201.76/202.08  (step @p247 :rule process_scope :premises (@p1256) :args (@t366))
% 201.76/202.08  (step @p249 :rule eq_resolve :premises (@p247 @p244))
% 201.76/202.08  (step @p250 :rule implies_elim :premises (@p249))
% 201.76/202.08  (step @p251 :rule chain_m_resolution :premises (@p250 @p238) :args (@t367 @t228 (@list @t359)))
% 201.76/202.08  (step @p252 :rule refl :args (@t369))
% 201.76/202.08  (step @p253 :rule bool-double-not-elim :args (@t357))
% 201.76/202.08  (step @p254 :rule nary_cong :premises (@p253 @p252) :args ((or (not @t367) @t369)))
% 201.76/202.08  (step @p255 :rule eq-symm :args (@t368 @t321))
% 201.76/202.08  (step @p256 :rule bool-double-not-elim :args (@t370))
% 201.76/202.08  (step @p257 :rule trans :premises (@p256 @p255))
% 201.76/202.08  (step @p258 :rule refl :args (@t367))
% 201.76/202.08  (step @p259 :rule cong :premises (@p258 @p257) :args ((=> @t367 @t371)))
% 201.76/202.08  (assume-push @p1257 @t367)
% 201.76/202.08  (step @p261 :rule skolemize :premises (@p251))
% 201.76/202.08  (step-pop @p1258 :rule scope :premises (@p261))
% 201.76/202.08  (step @p262 :rule process_scope :premises (@p1258) :args (@t371))
% 201.76/202.08  (step @p264 :rule eq_resolve :premises (@p262 @p259))
% 201.76/202.08  (step @p265 :rule implies_elim :premises (@p264))
% 201.76/202.08  (step @p266 :rule eq_resolve :premises (@p265 @p254))
% 201.76/202.08  (step @p267 :rule chain_m_resolution :premises (@p266 @p251) :args (@t369 @t235 (@list @t357)))
% 201.76/202.08  (step @p268 :rule instantiate :premises (@p53) :args ((@list @t373)))
% 201.76/202.08  (step @p269 :rule eq-symm :args (@t320 @t203))
% 201.76/202.08  (step @p270 :rule cong :premises (@p269) :args (@t374))
% 201.76/202.08  (step @p271 :rule cong :premises (@p270) :args (@t375))
% 201.76/202.08  (step @p272 :rule cong :premises (@p271) :args (@t376))
% 201.76/202.08  (step @p273 :rule cong :premises (@p25 @p272) :args ((=> @t204 @t376)))
% 201.76/202.08  (assume-push @p1259 @t204)
% 201.76/202.08  (step @p275 :rule instantiate :premises (@p20) :args ((@list @t320)))
% 201.76/202.08  (step-pop @p1260 :rule scope :premises (@p275))
% 201.76/202.08  (step @p276 :rule process_scope :premises (@p1260) :args (@t376))
% 201.76/202.08  (step @p278 :rule eq_resolve :premises (@p276 @p273))
% 201.76/202.08  (step @p279 :rule implies_elim :premises (@p278))
% 201.76/202.08  (step @p280 :rule chain_m_resolution :premises (@p279 @p20) :args (@t377 @t228 @t229))
% 201.76/202.08  (step @p281 :rule refl :args (@t379))
% 201.76/202.08  (step @p282 :rule bool-double-not-elim :args (@t372))
% 201.76/202.08  (step @p283 :rule nary_cong :premises (@p282 @p281) :args ((or (not @t377) @t379)))
% 201.76/202.08  (step @p284 :rule eq-symm :args (@t378 @t320))
% 201.76/202.08  (step @p285 :rule bool-double-not-elim :args (@t380))
% 201.76/202.08  (step @p286 :rule trans :premises (@p285 @p284))
% 201.76/202.08  (step @p287 :rule refl :args (@t377))
% 201.76/202.08  (step @p288 :rule cong :premises (@p287 @p286) :args ((=> @t377 @t381)))
% 201.76/202.08  (assume-push @p1261 @t377)
% 201.76/202.08  (step @p290 :rule skolemize :premises (@p280))
% 201.76/202.08  (step-pop @p1262 :rule scope :premises (@p290))
% 201.76/202.08  (step @p291 :rule process_scope :premises (@p1262) :args (@t381))
% 201.76/202.08  (step @p293 :rule eq_resolve :premises (@p291 @p288))
% 201.76/202.08  (step @p294 :rule implies_elim :premises (@p293))
% 201.76/202.08  (step @p295 :rule eq_resolve :premises (@p294 @p283))
% 201.76/202.08  (step @p296 :rule chain_m_resolution :premises (@p295 @p280) :args (@t379 @t235 (@list @t372)))
% 201.76/202.08  ; trust TRUST PREPROCESS_HO_ELIM
% 201.76/202.08  (step @p297 :rule trust :premises () :args ((= (= @t96 @t158) @t382)))
% 201.76/202.08  (step @p298 :rule eq-symm :args (@t158 @t96))
% 201.76/202.08  (step @p299 :rule trans :premises (@p298 @p297))
% 201.76/202.08  (step @p300 :rule and_elim :premises (@p1) :args (14))
% 201.76/202.08  (step @p301 :rule eq_resolve :premises (@p300 @p299))
% 201.76/202.08  (assume-push @p1263 @t382)
% 201.76/202.08  (assume-push @p1264 @t232)
% 201.76/202.08  (assume-push @p1265 @t379)
% 201.76/202.08  (assume-push @p1266 @t383)
% 201.76/202.08  (assume-push @p1267 @t384)
% 201.76/202.08  (assume-push @p1268 @t369)
% 201.76/202.08  (assume-push @p1269 @t385)
% 201.76/202.08  (assume-push @p1270 @t353)
% 201.76/202.08  (assume-push @p1271 @t345)
% 201.76/202.08  (assume-push @p1272 @t386)
% 201.76/202.08  (assume-push @p1273 @t387)
% 201.76/202.08  (assume-push @p1274 @t388)
% 201.76/202.08  (assume-push @p1275 @t313)
% 201.76/202.08  (assume-push @p1276 @t389)
% 201.76/202.08  (assume-push @p1277 (= @t391 @t392))
% 201.76/202.08  (assume-push @p1278 (= @t391 @t334))
% 201.76/202.08  (assume-push @p1279 @t345)
% 201.76/202.08  (assume-push @p1280 (= @t236 @t344))
% 201.76/202.08  (assume-push @p1281 @t393)
% 201.76/202.08  (assume-push @p1282 @t232)
% 201.76/202.08  (assume-push @p1283 (= @t292 @t222))
% 201.76/202.08  (assume-push @p1284 @t388)
% 201.76/202.08  (step @p324 :rule refl :args (@t317))
% 201.76/202.08  (step @p325 :rule symm :premises (@p216))
% 201.76/202.08  (step @p326 :rule cong :premises (@p154 @p160) :args (@t236))
% 201.76/202.08  (step @p327 :rule trans :premises (@p326 @p325))
% 201.76/202.08  (step @p328 :rule symm :premises (@p267))
% 201.76/202.08  (step @p329 :rule refl :args (@t209))
% 201.76/202.08  (step @p330 :rule cong :premises (@p329 @p221) :args (@t211))
% 201.76/202.08  (step @p331 :rule trans :premises (@p330 @p328))
% 201.76/202.08  (step @p332 :rule refl :args (@t237))
% 201.76/202.08  (step @p333 :rule cong :premises (@p332 @p331) :args (@t238))
% 201.76/202.08  (step @p334 :rule cong :premises (@p333 @p327) :args (@t297))
% 201.76/202.08  (step @p335 :rule trans :premises (@p301 @p334))
% 201.76/202.08  (step @p336 :rule refl :args (@t249))
% 201.76/202.08  (step @p337 :rule cong :premises (@p336 @p335) :args (@t333))
% 201.76/202.08  (step @p338 :rule symm :premises (@p160))
% 201.76/202.08  (step @p339 :rule cong :premises (@p154 @p338) :args (@t352))
% 201.76/202.08  (step @p340 :rule trans :premises (@p216 @p339))
% 201.76/202.08  (step @p341 :rule cong :premises (@p336 @p340) :args (@t319))
% 201.76/202.08  (step @p342 :rule trans :premises (@p341 @p337))
% 201.76/202.08  (step @p343 :rule cong :premises (@p342 @p324) :args (@t320))
% 201.76/202.08  (step @p344 :rule symm :premises (@p296))
% 201.76/202.08  (step @p345 :rule cong :premises (@p154 @p268) :args (@t236))
% 201.76/202.08  (step @p346 :rule symm :premises (@p301))
% 201.76/202.08  (step @p347 :rule symm :premises (@p221))
% 201.76/202.08  (step @p348 :rule cong :premises (@p329 @p347) :args (@t368))
% 201.76/202.08  (step @p349 :rule trans :premises (@p267 @p348))
% 201.76/202.08  (step @p350 :rule cong :premises (@p332 @p349) :args (@t390))
% 201.76/202.08  (step @p351 :rule cong :premises (@p350 @p340) :args (@t391))
% 201.76/202.08  (step @p352 :rule trans :premises (@p351 @p346 @p345 @p344 @p343))
% 201.76/202.08  (step @p353 :rule symm :premises (@p188))
% 201.76/202.08  (step @p354 :rule cong :premises (@p154 @p159) :args (@t236))
% 201.76/202.08  (step @p355 :rule symm :premises (@p301))
% 201.76/202.08  (step @p356 :rule cong :premises (@p350 @p340) :args (@t391))
% 201.76/202.08  (step @p357 :rule trans :premises (@p356 @p355 @p354 @p353))
% 201.76/202.08  (step @p358 :rule symm :premises (@p357))
% 201.76/202.08  (step @p359 :rule symm :premises (@p188))
% 201.76/202.08  (step @p360 :rule instantiate :premises (@p53) :args (@t337))
% 201.76/202.08  (step @p361 :rule refl :args (@t201))
% 201.76/202.08  (step @p362 :rule cong :premises (@p361 @p360) :args (@t236))
% 201.76/202.08  (step @p363 :rule cong :premises (@p154 @p54) :args (@t236))
% 201.76/202.08  (step @p364 :rule symm :premises (@p363))
% 201.76/202.08  (step @p365 :rule symm :premises (@p49))
% 201.76/202.08  (step @p366 :rule cong :premises (@p154 @p54) :args (@t236))
% 201.76/202.08  (step @p367 :rule cong :premises (@p154 @p156) :args (@t312))
% 201.76/202.08  (step @p368 :rule chain_m_resolution :premises (@p122 @p107) :args (@t313 @t235 @t316))
% 201.76/202.08  (step @p369 :rule trans :premises (@p368 @p367 @p366 @p365))
% 201.76/202.08  (step @p370 :rule symm :premises (@p158))
% 201.76/202.08  (step @p371 :rule trans :premises (@p370 @p369 @p49 @p364 @p362 @p359 @p358 @p352))
% 201.76/202.08  (step-pop @p1285 :rule scope :premises (@p371))
% 201.76/202.08  (step-pop @p1286 :rule scope :premises (@p1285))
% 201.76/202.08  (step-pop @p1287 :rule scope :premises (@p1286))
% 201.76/202.08  (step-pop @p1288 :rule scope :premises (@p1287))
% 201.76/202.08  (step-pop @p1289 :rule scope :premises (@p1288))
% 201.76/202.08  (step-pop @p1290 :rule scope :premises (@p1289))
% 201.76/202.08  (step-pop @p1291 :rule scope :premises (@p1290))
% 201.76/202.08  (step-pop @p1292 :rule scope :premises (@p1291))
% 201.76/202.08  (step @p372 :rule process_scope :premises (@p1292) :args (@t394))
% 201.76/202.08  (step @p365 :rule symm :premises (@p49))
% 201.76/202.08  (step @p366 :rule cong :premises (@p154 @p54) :args (@t236))
% 201.76/202.08  (step @p381 :rule trans :premises (@p123 @p157 @p366 @p365))
% 201.76/202.08  (step @p382 :rule cong :premises (@p154 @p159) :args (@t236))
% 201.76/202.08  (step @p359 :rule symm :premises (@p188))
% 201.76/202.08  (step @p355 :rule symm :premises (@p301))
% 201.76/202.08  (step @p338 :rule symm :premises (@p160))
% 201.76/202.08  (step @p339 :rule cong :premises (@p154 @p338) :args (@t352))
% 201.76/202.08  (step @p340 :rule trans :premises (@p216 @p339))
% 201.76/202.08  (step @p347 :rule symm :premises (@p221))
% 201.76/202.08  (step @p329 :rule refl :args (@t209))
% 201.76/202.08  (step @p348 :rule cong :premises (@p329 @p347) :args (@t368))
% 201.76/202.08  (step @p349 :rule trans :premises (@p267 @p348))
% 201.76/202.08  (step @p332 :rule refl :args (@t237))
% 201.76/202.08  (step @p350 :rule cong :premises (@p332 @p349) :args (@t390))
% 201.76/202.08  (step @p356 :rule cong :premises (@p350 @p340) :args (@t391))
% 201.76/202.08  (step @p383 :rule trans :premises (@p356 @p355 @p382 @p359))
% 201.76/202.08  (step @p324 :rule refl :args (@t317))
% 201.76/202.08  (step @p325 :rule symm :premises (@p216))
% 201.76/202.08  (step @p326 :rule cong :premises (@p154 @p160) :args (@t236))
% 201.76/202.08  (step @p327 :rule trans :premises (@p326 @p325))
% 201.76/202.08  (step @p328 :rule symm :premises (@p267))
% 201.76/202.08  (step @p330 :rule cong :premises (@p329 @p221) :args (@t211))
% 201.76/202.08  (step @p331 :rule trans :premises (@p330 @p328))
% 201.76/202.08  (step @p333 :rule cong :premises (@p332 @p331) :args (@t238))
% 201.76/202.08  (step @p334 :rule cong :premises (@p333 @p327) :args (@t297))
% 201.76/202.08  (step @p335 :rule trans :premises (@p301 @p334))
% 201.76/202.08  (step @p336 :rule refl :args (@t249))
% 201.76/202.08  (step @p337 :rule cong :premises (@p336 @p335) :args (@t333))
% 201.76/202.08  (step @p341 :rule cong :premises (@p336 @p340) :args (@t319))
% 201.76/202.08  (step @p342 :rule trans :premises (@p341 @p337))
% 201.76/202.08  (step @p343 :rule cong :premises (@p342 @p324) :args (@t320))
% 201.76/202.08  (step @p344 :rule symm :premises (@p296))
% 201.76/202.08  (step @p345 :rule cong :premises (@p154 @p268) :args (@t236))
% 201.76/202.08  (step @p384 :rule trans :premises (@p356 @p355 @p345 @p344 @p343))
% 201.76/202.08  (step @p385 :rule and_intro :premises (@p384 @p383 @p188 @p382 @p366 @p49 @p381 @p158))
% 201.76/202.08  (step @p386 :rule modus_ponens :premises (@p385 @p372))
% 201.76/202.08  (step-pop @p1293 :rule scope :premises (@p386))
% 201.76/202.08  (step-pop @p1294 :rule scope :premises (@p1293))
% 201.76/202.08  (step-pop @p1295 :rule scope :premises (@p1294))
% 201.76/202.08  (step-pop @p1296 :rule scope :premises (@p1295))
% 201.76/202.08  (step-pop @p1297 :rule scope :premises (@p1296))
% 201.76/202.08  (step-pop @p1298 :rule scope :premises (@p1297))
% 201.76/202.08  (step-pop @p1299 :rule scope :premises (@p1298))
% 201.76/202.08  (step-pop @p1300 :rule scope :premises (@p1299))
% 201.76/202.08  (step-pop @p1301 :rule scope :premises (@p1300))
% 201.76/202.08  (step-pop @p1302 :rule scope :premises (@p1301))
% 201.76/202.08  (step-pop @p1303 :rule scope :premises (@p1302))
% 201.76/202.08  (step-pop @p1304 :rule scope :premises (@p1303))
% 201.76/202.08  (step-pop @p1305 :rule scope :premises (@p1304))
% 201.76/202.08  (step-pop @p1306 :rule scope :premises (@p1305))
% 201.76/202.08  (step @p387 :rule process_scope :premises (@p1306) :args (@t394))
% 201.76/202.08  (step @p402 :rule implies_elim :premises (@p387))
% 201.76/202.08  (step @p403 :rule cnf_and_neg :args (@t395))
% 201.76/202.08  (step @p404 :rule resolution :premises (@p403 @p402) :args (true @t395))
% 201.76/202.08  (step @p405 :rule reordering :premises (@p404) :args ((or @t398 @t394 @t397 (not @t379) @t396 (not @t384) (not @t369) (not @t385) (not @t353) (not @t345) (not @t386) (not @t387) (not @t388) (not @t313) (not @t389))))
% 201.76/202.08  (step @p406 :rule chain_m_resolution :premises (@p405 @p301 @p49 @p296 @p54 @p268 @p267 @p221 @p216 @p188 @p160 @p159 @p158 @p123 @p95) :args (@t394 (@list false false false false false false false false false false false false false false) (@list @t382 @t232 @t379 @t383 @t384 @t369 @t385 @t353 @t345 @t386 @t387 @t388 @t313 @t389)))
% 201.76/202.08  (step @p407 :rule refl :args (@t399))
% 201.76/202.08  (step @p408 :rule bool-double-not-elim :args (@t303))
% 201.76/202.08  (step @p409 :rule nary_cong :premises (@p408 @p407) :args ((or (not @t304) @t399)))
% 201.76/202.08  (assume-push @p1307 @t304)
% 201.76/202.08  (step @p411 :rule skolemize :premises (@p1307))
% 201.76/202.08  (step-pop @p1308 :rule scope :premises (@p411))
% 201.76/202.08  (step @p412 :rule process_scope :premises (@p1308) :args (@t399))
% 201.76/202.08  (step @p414 :rule implies_elim :premises (@p412))
% 201.76/202.08  (step @p415 :rule eq_resolve :premises (@p414 @p409))
% 201.76/202.08  (step @p416 :rule chain_m_resolution :premises (@p415 @p406) :args (@t303 @t228 (@list @t394)))
% 201.76/202.08  (step @p365 :rule symm :premises (@p49))
% 201.76/202.08  (step @p366 :rule cong :premises (@p154 @p54) :args (@t236))
% 201.76/202.08  (step @p381 :rule trans :premises (@p123 @p157 @p366 @p365))
% 201.76/202.08  (step @p417 :rule symm :premises (@p381))
% 201.76/202.08  (step @p418 :rule trans :premises (@p366 @p365 @p417))
% 201.76/202.08  (step @p419 :rule instantiate :premises (@p53) :args (@t403))
% 201.76/202.08  (step @p420 :rule eq-symm :args (@t400 @t203))
% 201.76/202.08  (step @p421 :rule cong :premises (@p420) :args (@t404))
% 201.76/202.08  (step @p422 :rule cong :premises (@p421) :args (@t405))
% 201.76/202.08  (step @p423 :rule cong :premises (@p422) :args (@t406))
% 201.76/202.08  (step @p424 :rule cong :premises (@p25 @p423) :args ((=> @t204 @t406)))
% 201.76/202.08  (assume-push @p1309 @t204)
% 201.76/202.08  (step @p426 :rule instantiate :premises (@p20) :args ((@list @t400)))
% 201.76/202.08  (step-pop @p1310 :rule scope :premises (@p426))
% 201.76/202.08  (step @p427 :rule process_scope :premises (@p1310) :args (@t406))
% 201.76/202.08  (step @p429 :rule eq_resolve :premises (@p427 @p424))
% 201.76/202.08  (step @p430 :rule implies_elim :premises (@p429))
% 201.76/202.08  (step @p431 :rule chain_m_resolution :premises (@p430 @p20) :args (@t407 @t228 @t229))
% 201.76/202.08  (step @p432 :rule refl :args (@t409))
% 201.76/202.08  (step @p433 :rule bool-double-not-elim :args (@t401))
% 201.76/202.08  (step @p434 :rule nary_cong :premises (@p433 @p432) :args ((or (not @t407) @t409)))
% 201.76/202.08  (step @p435 :rule eq-symm :args (@t408 @t400))
% 201.76/202.08  (step @p436 :rule bool-double-not-elim :args (@t410))
% 201.76/202.08  (step @p437 :rule trans :premises (@p436 @p435))
% 201.76/202.08  (step @p438 :rule refl :args (@t407))
% 201.76/202.08  (step @p439 :rule cong :premises (@p438 @p437) :args ((=> @t407 @t411)))
% 201.76/202.08  (assume-push @p1311 @t407)
% 201.76/202.08  (step @p441 :rule skolemize :premises (@p431))
% 201.76/202.08  (step-pop @p1312 :rule scope :premises (@p441))
% 201.76/202.08  (step @p442 :rule process_scope :premises (@p1312) :args (@t411))
% 201.76/202.08  (step @p444 :rule eq_resolve :premises (@p442 @p439))
% 201.76/202.08  (step @p445 :rule implies_elim :premises (@p444))
% 201.76/202.08  (step @p446 :rule eq_resolve :premises (@p445 @p434))
% 201.76/202.08  (step @p447 :rule chain_m_resolution :premises (@p446 @p431) :args (@t409 @t235 (@list @t401)))
% 201.76/202.08  (assume-push @p1313 @t409)
% 201.76/202.08  (assume-push @p1314 @t412)
% 201.76/202.08  (assume-push @p1315 @t409)
% 201.76/202.08  (assume-push @p1316 (= @t236 @t408))
% 201.76/202.08  (step @p452 :rule symm :premises (@p447))
% 201.76/202.08  (step @p453 :rule instantiate :premises (@p53) :args (@t403))
% 201.76/202.08  (step @p454 :rule refl :args (@t201))
% 201.76/202.08  (step @p455 :rule cong :premises (@p454 @p453) :args (@t236))
% 201.76/202.08  (step @p456 :rule trans :premises (@p455 @p452))
% 201.76/202.08  (step-pop @p1317 :rule scope :premises (@p456))
% 201.76/202.08  (step-pop @p1318 :rule scope :premises (@p1317))
% 201.76/202.08  (step @p457 :rule process_scope :premises (@p1318) :args (@t413))
% 201.76/202.08  (step @p460 :rule cong :premises (@p154 @p419) :args (@t236))
% 201.76/202.08  (step @p461 :rule and_intro :premises (@p447 @p460))
% 201.76/202.08  (step @p462 :rule modus_ponens :premises (@p461 @p457))
% 201.76/202.08  (step-pop @p1319 :rule scope :premises (@p462))
% 201.76/202.08  (step-pop @p1320 :rule scope :premises (@p1319))
% 201.76/202.08  (step @p463 :rule process_scope :premises (@p1320) :args (@t413))
% 201.76/202.08  (step @p466 :rule implies_elim :premises (@p463))
% 201.76/202.08  (step @p467 :rule cnf_and_neg :args (@t414))
% 201.76/202.08  (step @p468 :rule resolution :premises (@p467 @p466) :args (true @t414))
% 201.76/202.08  (step @p469 :rule reordering :premises (@p468) :args ((or @t413 (not @t409) (not @t412))))
% 201.76/202.08  (step @p470 :rule chain_m_resolution :premises (@p469 @p447 @p419) :args (@t413 @t415 (@list @t409 @t412)))
% 201.76/202.08  ; trust TRUST PREPROCESS_HO_ELIM
% 201.76/202.08  (step @p471 :rule trust :premises () :args ((= (= @t96 @t159) @t416)))
% 201.76/202.08  (step @p472 :rule eq-symm :args (@t159 @t96))
% 201.76/202.08  (step @p473 :rule trans :premises (@p472 @p471))
% 201.76/202.08  (step @p474 :rule and_elim :premises (@p1) :args (8))
% 201.76/202.08  (step @p475 :rule eq_resolve :premises (@p474 @p473))
% 201.76/202.08  (step @p476 :rule refl :args (@t419))
% 201.76/202.08  (step @p477 :rule refl :args (@t420))
% 201.76/202.08  (step @p478 :rule refl :args (@t422))
% 201.76/202.08  (step @p479 :rule bool-double-not-elim :args (@t293))
% 201.76/202.08  (step @p480 :rule refl :args (@t398))
% 201.76/202.08  (step @p481 :rule refl :args (@t423))
% 201.76/202.08  (step @p482 :rule nary_cong :premises (@p481 @p480 @p479 @p478 @p477 @p476) :args ((or @t423 @t398 @t425 @t422 @t420 @t419)))
% 201.76/202.08  (assume-push @p1321 @t416)
% 201.76/202.08  (assume-push @p1322 @t382)
% 201.76/202.08  (assume-push @p1323 @t424)
% 201.76/202.08  (assume-push @p1324 @t421)
% 201.76/202.08  (assume-push @p1325 @t413)
% 201.76/202.08  (assume-push @p1326 @t413)
% 201.76/202.08  (assume-push @p1327 @t421)
% 201.76/202.08  (assume-push @p1328 @t424)
% 201.76/202.08  (assume-push @p1329 @t382)
% 201.76/202.08  (assume-push @p1330 @t416)
% 201.76/202.08  (step @p493 :rule false_intro :premises (@p1323))
% 201.76/202.08  (step @p494 :rule refl :args (@t211))
% 201.76/202.08  (step @p495 :rule symm :premises (@p475))
% 201.76/202.08  (step @p355 :rule symm :premises (@p301))
% 201.76/202.08  (step @p496 :rule refl :args (@t281))
% 201.76/202.08  (step @p497 :rule cong :premises (@p496 @p355) :args (@t298))
% 201.76/202.08  (step @p498 :rule trans :premises (@p497 @p495 @p418))
% 201.76/202.08  (step @p499 :rule refl :args (@t289))
% 201.76/202.08  (step @p500 :rule cong :premises (@p499 @p498) :args (@t299))
% 201.76/202.08  (step @p501 :rule cong :premises (@p500 @p494) :args (@t300))
% 201.76/202.08  (step @p502 :rule symm :premises (@p497))
% 201.76/202.08  (step @p503 :rule symm :premises (@p1325))
% 201.76/202.08  (step @p504 :rule trans :premises (@p503 @p475 @p502))
% 201.76/202.08  (step @p505 :rule cong :premises (@p499 @p504) :args (@t417))
% 201.76/202.08  (step @p506 :rule cong :premises (@p505 @p494) :args (@t418))
% 201.76/202.08  (step @p507 :rule trans :premises (@p506 @p501 @p493))
% 201.76/202.08  (step @p508 :rule false_elim :premises (@p507))
% 201.76/202.08  (step-pop @p1331 :rule scope :premises (@p508))
% 201.76/202.08  (step-pop @p1332 :rule scope :premises (@p1331))
% 201.76/202.08  (step-pop @p1333 :rule scope :premises (@p1332))
% 201.76/202.08  (step-pop @p1334 :rule scope :premises (@p1333))
% 201.76/202.08  (step-pop @p1335 :rule scope :premises (@p1334))
% 201.76/202.08  (step @p509 :rule process_scope :premises (@p1335) :args (@t419))
% 201.76/202.08  (step @p515 :rule and_intro :premises (@p1325 @p418 @p1323 @p301 @p475))
% 201.76/202.08  (step @p516 :rule modus_ponens :premises (@p515 @p509))
% 201.76/202.08  (step-pop @p1336 :rule scope :premises (@p516))
% 201.76/202.08  (step-pop @p1337 :rule scope :premises (@p1336))
% 201.76/202.08  (step-pop @p1338 :rule scope :premises (@p1337))
% 201.76/202.08  (step-pop @p1339 :rule scope :premises (@p1338))
% 201.76/202.08  (step-pop @p1340 :rule scope :premises (@p1339))
% 201.76/202.08  (step @p517 :rule process_scope :premises (@p1340) :args (@t419))
% 201.76/202.08  (step @p523 :rule implies_elim :premises (@p517))
% 201.76/202.08  (step @p524 :rule cnf_and_neg :args (@t426))
% 201.76/202.08  (step @p525 :rule resolution :premises (@p524 @p523) :args (true @t426))
% 201.76/202.08  (step @p526 :rule eq_resolve :premises (@p525 @p482))
% 201.76/202.08  (step @p527 :rule reordering :premises (@p526) :args ((or @t423 @t398 @t293 @t422 @t419 @t420)))
% 201.76/202.08  (step @p528 :rule refl :args (@t427))
% 201.76/202.08  (step @p529 :rule nary_cong :premises (@p481 @p480 @p479 @p478 @p528) :args ((or @t423 @t398 @t425 @t422 @t427)))
% 201.76/202.08  (assume-push @p1341 @t416)
% 201.76/202.08  (assume-push @p1342 @t382)
% 201.76/202.08  (assume-push @p1343 @t424)
% 201.76/202.08  (assume-push @p1344 @t421)
% 201.76/202.08  (assume-push @p1345 @t421)
% 201.76/202.08  (assume-push @p1346 @t424)
% 201.76/202.08  (assume-push @p1347 @t382)
% 201.76/202.08  (assume-push @p1348 @t416)
% 201.76/202.08  (step @p538 :rule false_intro :premises (@p1343))
% 201.76/202.08  (step @p494 :rule refl :args (@t211))
% 201.76/202.08  (step @p495 :rule symm :premises (@p475))
% 201.76/202.08  (step @p355 :rule symm :premises (@p301))
% 201.76/202.08  (step @p496 :rule refl :args (@t281))
% 201.76/202.08  (step @p497 :rule cong :premises (@p496 @p355) :args (@t298))
% 201.76/202.08  (step @p498 :rule trans :premises (@p497 @p495 @p418))
% 201.76/202.08  (step @p499 :rule refl :args (@t289))
% 201.76/202.08  (step @p500 :rule cong :premises (@p499 @p498) :args (@t299))
% 201.76/202.08  (step @p501 :rule cong :premises (@p500 @p494) :args (@t300))
% 201.76/202.08  (step @p539 :rule trans :premises (@p501 @p538))
% 201.76/202.08  (step @p540 :rule false_elim :premises (@p539))
% 201.76/202.08  (step-pop @p1349 :rule scope :premises (@p540))
% 201.76/202.08  (step-pop @p1350 :rule scope :premises (@p1349))
% 201.76/202.08  (step-pop @p1351 :rule scope :premises (@p1350))
% 201.76/202.08  (step-pop @p1352 :rule scope :premises (@p1351))
% 201.76/202.08  (step @p541 :rule process_scope :premises (@p1352) :args (@t427))
% 201.76/202.08  (step @p546 :rule and_intro :premises (@p418 @p1343 @p301 @p475))
% 201.76/202.08  (step @p547 :rule modus_ponens :premises (@p546 @p541))
% 201.76/202.08  (step-pop @p1353 :rule scope :premises (@p547))
% 201.76/202.08  (step-pop @p1354 :rule scope :premises (@p1353))
% 201.76/202.08  (step-pop @p1355 :rule scope :premises (@p1354))
% 201.76/202.08  (step-pop @p1356 :rule scope :premises (@p1355))
% 201.76/202.08  (step @p548 :rule process_scope :premises (@p1356) :args (@t427))
% 201.76/202.08  (step @p553 :rule implies_elim :premises (@p548))
% 201.76/202.08  (step @p554 :rule cnf_and_neg :args (@t428))
% 201.76/202.08  (step @p555 :rule resolution :premises (@p554 @p553) :args (true @t428))
% 201.76/202.08  (step @p556 :rule eq_resolve :premises (@p555 @p529))
% 201.76/202.08  (step @p557 :rule bool-double-not-elim :args (@t418))
% 201.76/202.08  (step @p558 :rule refl :args (@t429))
% 201.76/202.08  (step @p559 :rule nary_cong :premises (@p558 @p557) :args ((or @t429 (not @t419))))
% 201.76/202.08  (step @p560 :rule cnf_or_neg :args (@t429 0))
% 201.76/202.08  (step @p561 :rule eq_resolve :premises (@p560 @p559))
% 201.76/202.08  (step @p562 :rule reordering :premises (@p561) :args ((or @t418 @t429)))
% 201.76/202.08  (step @p563 :rule cnf_or_pos :args (@t305))
% 201.76/202.08  (step @p564 :rule reordering :premises (@p563) :args ((or @t304 @t302 @t300 @t430)))
% 201.76/202.08  (step @p565 :rule refl :args (@t431))
% 201.76/202.08  (step @p566 :rule bool-double-not-elim :args (@t301))
% 201.76/202.08  (step @p567 :rule nary_cong :premises (@p566 @p565) :args ((or (not @t302) @t431)))
% 201.76/202.08  (assume-push @p1357 @t302)
% 201.76/202.08  (step @p569 :rule skolemize :premises (@p1357))
% 201.76/202.08  (step-pop @p1358 :rule scope :premises (@p569))
% 201.76/202.08  (step @p570 :rule process_scope :premises (@p1358) :args (@t431))
% 201.76/202.08  (step @p572 :rule implies_elim :premises (@p570))
% 201.76/202.08  (step @p573 :rule eq_resolve :premises (@p572 @p567))
% 201.76/202.08  (step @p574 :rule chain_m_resolution :premises (@p573 @p564 @p562 @p556 @p301 @p475 @p527 @p301 @p475) :args ((or @t293 @t422 @t304 @t430 @t420) (@list true false true false false true false false) (@list @t301 @t429 @t300 @t382 @t416 @t418 @t382 @t416)))
% 201.76/202.08  (step @p575 :rule chain_m_resolution :premises (@p574 @p470 @p418 @p416 @p94 @p89 @p88) :args (@t295 (@list false false false false true false) (@list @t413 @t421 @t303 @t305 @t293 @t291)))
% 201.76/202.08  (step @p576 :rule refl :args (@t432))
% 201.76/202.08  (step @p577 :rule bool-double-not-elim :args (@t288))
% 201.76/202.08  (step @p578 :rule nary_cong :premises (@p577 @p576) :args ((or (not @t433) @t432)))
% 201.76/202.08  (assume-push @p1359 @t433)
% 201.76/202.08  (step @p580 :rule skolemize :premises (@p1359))
% 201.76/202.08  (step-pop @p1360 :rule scope :premises (@p580))
% 201.76/202.08  (step @p581 :rule process_scope :premises (@p1360) :args (@t432))
% 201.76/202.08  (step @p583 :rule implies_elim :premises (@p581))
% 201.76/202.08  (step @p584 :rule eq_resolve :premises (@p583 @p578))
% 201.76/202.08  (step @p585 :rule chain_m_resolution :premises (@p584 @p575) :args (@t288 @t228 (@list @t295)))
% 201.76/202.08  (step @p586 :rule refl :args (@t283))
% 201.76/202.08  (step @p587 :rule refl :args (@t284))
% 201.76/202.08  (step @p588 :rule refl :args (@t248))
% 201.76/202.08  (step @p589 :rule eq-symm :args (@t252 @t259))
% 201.76/202.08  (step @p590 :rule cong :premises (@p589) :args (@t434))
% 201.76/202.08  (step @p591 :rule cong :premises (@p590) :args (@t435))
% 201.76/202.08  (step @p592 :rule nary_cong :premises (@p591 @p588 @p587) :args (@t436))
% 201.76/202.08  (step @p593 :rule cong :premises (@p592) :args (@t437))
% 201.76/202.08  (step @p594 :rule cong :premises (@p593) :args (@t438))
% 201.76/202.08  (step @p595 :rule refl :args (@t286))
% 201.76/202.08  (step @p596 :rule nary_cong :premises (@p595 @p594 @p586) :args (@t439))
% 201.76/202.08  (step @p597 :rule cong :premises (@p596) :args (@t440))
% 201.76/202.08  (step @p598 :rule refl :args (@t243))
% 201.76/202.08  (step @p599 :rule nary_cong :premises (@p591 @p588) :args (@t441))
% 201.76/202.08  (step @p600 :rule cong :premises (@p599) :args (@t442))
% 201.76/202.08  (step @p601 :rule cong :premises (@p600) :args (@t443))
% 201.76/202.08  (step @p602 :rule refl :args (@t262))
% 201.76/202.08  (step @p603 :rule nary_cong :premises (@p602 @p601) :args (@t444))
% 201.76/202.08  (step @p604 :rule refl :args (@t264))
% 201.76/202.08  (step @p605 :rule nary_cong :premises (@p604 @p603 @p598) :args (@t445))
% 201.76/202.08  (step @p606 :rule cong :premises (@p605) :args (@t446))
% 201.76/202.08  (step @p607 :rule cong :premises (@p606 @p597) :args ((= @t446 @t440)))
% 201.76/202.08  (step @p608 :rule eq-symm :args (@t440 @t446))
% 201.76/202.08  (step @p609 :rule trans :premises (@p608 @p607))
% 201.76/202.08  (step @p610 :rule cong :premises (@p609) :args (@t447))
% 201.76/202.08  ; trust TRUST PREPROCESS_HO_ELIM
% 201.76/202.08  (step @p611 :rule trust :premises () :args ((= (not (= @t467 (forall @t464 (or @t463 (and (not (_ @t2 @t448 @t461 @t448)) @t460) (_ @t2 @t448 @t240 @t448))))) @t447)))
% 201.76/202.08  (step @p612 :rule refl :args (@t448))
% 201.76/202.08  (step @p613 :rule refl :args (@t95))
% 201.76/202.08  (step @p614 :rule cong :premises (@p613 @p612) :args ((= @t95 @t448)))
% 201.76/202.08  (step @p615 :rule symm :premises (@p614))
% 201.76/202.08  (step @p616 :rule eq_resolve :premises (@p613 @p615))
% 201.76/202.08  (step @p617 :rule refl :args (@t240))
% 201.76/202.08  (step @p618 :rule cong :premises (@p616 @p617 @p616) :args (@t468))
% 201.76/202.08  (step @p619 :rule refl :args (@t460))
% 201.76/202.08  (step @p620 :rule refl :args (@t461))
% 201.76/202.08  (step @p621 :rule refl :args (@t96))
% 201.76/202.08  (step @p622 :rule cong :premises (@p621 @p620) :args ((= @t96 @t461)))
% 201.76/202.08  (step @p623 :rule symm :premises (@p622))
% 201.76/202.08  (step @p624 :rule eq_resolve :premises (@p621 @p623))
% 201.76/202.08  (step @p625 :rule cong :premises (@p616 @p624 @p616) :args (@t469))
% 201.76/202.08  (step @p626 :rule cong :premises (@p625) :args (@t470))
% 201.76/202.08  (step @p627 :rule nary_cong :premises (@p626 @p619) :args (@t471))
% 201.76/202.08  (step @p628 :rule refl :args (@t463))
% 201.76/202.08  (step @p629 :rule nary_cong :premises (@p628 @p627 @p618) :args (@t472))
% 201.76/202.08  (step @p630 :rule cong :premises (@p629) :args ((forall @t464 @t472)))
% 201.76/202.08  (step @p631 :rule refl :args (@t468))
% 201.76/202.08  (step @p632 :rule bool-or-de-morgan :args (@t469 @t459 false))
% 201.76/202.08  (step @p633 :rule nary_cong :premises (@p628 @p632 @p631) :args (@t474))
% 201.76/202.08  (step @p634 :rule cong :premises (@p633) :args ((forall @t464 @t474)))
% 201.76/202.08  (step @p635 :rule trans :premises (@p634 @p630))
% 201.76/202.08  (step @p636 :rule refl :args (@t468))
% 201.76/202.08  (step @p637 :rule quant-miniscope-or :args ((= (forall @t31 @t475) @t473)))
% 201.76/202.08  (step @p638 :rule aci_norm :args ((= @t476 @t475)))
% 201.76/202.08  (step @p639 :rule cong :premises (@p638) :args ((forall @t31 @t476)))
% 201.76/202.08  (step @p640 :rule trans :premises (@p639 @p637))
% 201.76/202.08  (step @p641 :rule refl :args (@t95))
% 201.76/202.08  (step @p642 :rule beta-reduce :args ((= @t477 @t96)))
% 201.76/202.08  (step @p643 :rule cong :premises (@p641 @p642 @p641) :args (@t478))
% 201.76/202.08  (step @p644 :rule refl :args (@t8))
% 201.76/202.08  (step @p645 :rule cong :premises (@p616 @p644) :args (@t479))
% 201.76/202.08  (step @p646 :rule cong :premises (@p616 @p645 @p616) :args (@t480))
% 201.76/202.08  (step @p647 :rule cong :premises (@p616 @p644 @p616) :args (@t481))
% 201.76/202.08  (step @p648 :rule cong :premises (@p647) :args (@t482))
% 201.76/202.08  (step @p649 :rule nary_cong :premises (@p648 @p646) :args (@t483))
% 201.76/202.08  (step @p650 :rule cong :premises (@p649) :args (@t484))
% 201.76/202.08  (step @p651 :rule cong :premises (@p650) :args (@t485))
% 201.76/202.08  (step @p652 :rule refl :args (@t457))
% 201.76/202.08  (step @p653 :rule nary_cong :premises (@p652 @p651 @p643) :args (@t486))
% 201.76/202.08  (step @p654 :rule cong :premises (@p653) :args (@t487))
% 201.76/202.08  (step @p655 :rule trans :premises (@p654 @p640))
% 201.76/202.08  (step @p656 :rule cong :premises (@p655) :args (@t488))
% 201.76/202.08  (step @p657 :rule refl :args (@t34))
% 201.76/202.08  (step @p658 :rule cong :premises (@p616 @p644 @p616 @p657) :args (@t489))
% 201.76/202.08  (step @p659 :rule cong :premises (@p616 @p658 @p616) :args (@t490))
% 201.76/202.08  (step @p660 :rule cong :premises (@p616 @p657 @p616) :args (@t491))
% 201.76/202.08  (step @p661 :rule cong :premises (@p660) :args (@t492))
% 201.76/202.08  (step @p662 :rule nary_cong :premises (@p648 @p661 @p659) :args (@t493))
% 201.76/202.08  (step @p663 :rule cong :premises (@p662) :args (@t494))
% 201.76/202.08  (step @p664 :rule cong :premises (@p663) :args (@t495))
% 201.76/202.08  (step @p665 :rule nary_cong :premises (@p664 @p656 @p636) :args (@t496))
% 201.76/202.08  (step @p666 :rule cong :premises (@p665) :args (@t497))
% 201.76/202.08  (step @p667 :rule trans :premises (@p666 @p635))
% 201.76/202.08  (step @p668 :rule refl :args (@t467))
% 201.76/202.08  (step @p669 :rule cong :premises (@p668 @p667) :args (@t498))
% 201.76/202.08  (step @p670 :rule cong :premises (@p669) :args ((not @t498)))
% 201.76/202.08  (step @p671 :rule and_elim :premises (@p1) :args (10))
% 201.76/202.08  (step @p672 :rule refl :args (@t240))
% 201.76/202.08  (step @p673 :rule cong :premises (@p671 @p672 @p671) :args (@t499))
% 201.76/202.08  (step @p674 :rule refl :args (@t4))
% 201.76/202.08  (step @p675 :rule and_elim :premises (@p1) :args (15))
% 201.76/202.08  (step @p676 :rule ho_cong :premises (@p675 @p671 @p674))
% 201.76/202.08  (step @p677 :rule cong :premises (@p671 @p676 @p671) :args (@t500))
% 201.76/202.08  (step @p678 :rule refl :args (@t8))
% 201.76/202.08  (step @p679 :rule cong :premises (@p671 @p678) :args (@t501))
% 201.76/202.08  (step @p680 :rule cong :premises (@p671 @p679 @p671) :args (@t502))
% 201.76/202.08  (step @p681 :rule cong :premises (@p671 @p678 @p671) :args (@t503))
% 201.76/202.08  (step @p682 :rule cong :premises (@p681) :args (@t504))
% 201.76/202.08  (step @p683 :rule nary_cong :premises (@p682 @p680) :args (@t505))
% 201.76/202.08  (step @p684 :rule cong :premises (@p683) :args (@t506))
% 201.76/202.08  (step @p685 :rule cong :premises (@p684) :args (@t507))
% 201.76/202.08  (step @p686 :rule nary_cong :premises (@p652 @p685 @p677) :args (@t508))
% 201.76/202.08  (step @p687 :rule cong :premises (@p686) :args (@t509))
% 201.76/202.08  (step @p688 :rule cong :premises (@p687) :args (@t510))
% 201.76/202.08  (step @p689 :rule refl :args (@t34))
% 201.76/202.08  (step @p690 :rule cong :premises (@p671 @p678 @p671 @p689) :args (@t511))
% 201.76/202.08  (step @p691 :rule cong :premises (@p671 @p690 @p671) :args (@t512))
% 201.76/202.08  (step @p692 :rule cong :premises (@p671 @p689 @p671) :args (@t513))
% 201.76/202.08  (step @p693 :rule cong :premises (@p692) :args (@t514))
% 201.76/202.08  (step @p694 :rule nary_cong :premises (@p682 @p693 @p691) :args (@t515))
% 201.76/202.08  (step @p695 :rule cong :premises (@p694) :args (@t516))
% 201.76/202.08  (step @p696 :rule cong :premises (@p695) :args (@t517))
% 201.76/202.08  (step @p697 :rule nary_cong :premises (@p696 @p688 @p673) :args (@t518))
% 201.76/202.08  (step @p698 :rule cong :premises (@p697) :args (@t519))
% 201.76/202.08  (step @p699 :rule refl :args (@t97))
% 201.76/202.08  (step @p700 :rule cong :premises (@p616 @p699 @p616) :args (@t520))
% 201.76/202.08  (step @p701 :rule refl :args (@t465))
% 201.76/202.08  (step @p702 :rule refl :args (@t466))
% 201.76/202.08  (step @p703 :rule nary_cong :premises (@p702 @p701 @p700) :args (@t521))
% 201.76/202.08  (step @p704 :rule cong :premises (@p703) :args ((forall @t100 @t521)))
% 201.76/202.08  (step @p705 :rule refl :args (@t520))
% 201.76/202.08  (step @p706 :rule cong :premises (@p616 @p624) :args (@t522))
% 201.76/202.08  (step @p707 :rule cong :premises (@p706) :args (@t523))
% 201.76/202.08  (step @p708 :rule cong :premises (@p616 @p707 @p616) :args (@t524))
% 201.76/202.08  (step @p709 :rule refl :args (@t450))
% 201.76/202.08  (step @p710 :rule refl :args (@t457))
% 201.76/202.08  (step @p711 :rule nary_cong :premises (@p710 @p709 @p708) :args (@t525))
% 201.76/202.08  (step @p712 :rule cong :premises (@p711) :args ((forall @t31 @t525)))
% 201.76/202.08  (step @p713 :rule refl :args (@t524))
% 201.76/202.08  (step @p714 :rule nary_cong :premises (@p652 @p651 @p713) :args (@t526))
% 201.76/202.08  (step @p715 :rule cong :premises (@p714) :args (@t527))
% 201.76/202.08  (step @p716 :rule trans :premises (@p715 @p712))
% 201.76/202.08  (step @p717 :rule cong :premises (@p716) :args (@t528))
% 201.76/202.08  (step @p718 :rule cong :premises (@p644 @p616) :args (@t529))
% 201.76/202.08  (step @p719 :rule cong :premises (@p718 @p657) :args (@t530))
% 201.76/202.08  (step @p720 :rule cong :premises (@p616 @p719 @p616) :args (@t531))
% 201.76/202.08  (step @p721 :rule nary_cong :premises (@p648 @p661 @p720) :args (@t532))
% 201.76/202.08  (step @p722 :rule cong :premises (@p721) :args (@t533))
% 201.76/202.08  (step @p723 :rule cong :premises (@p722) :args (@t534))
% 201.76/202.08  (step @p724 :rule nary_cong :premises (@p723 @p717 @p705) :args (@t535))
% 201.76/202.08  (step @p725 :rule cong :premises (@p724) :args (@t536))
% 201.76/202.08  (step @p726 :rule trans :premises (@p725 @p704))
% 201.76/202.08  (step @p727 :rule refl :args (tptp.hoasinduction_no_psi_cond))
% 201.76/202.08  (step @p728 :rule cong :premises (@p727 @p726) :args ((= tptp.hoasinduction_no_psi_cond @t536)))
% 201.76/202.08  (step @p729 :rule refl :args (@t97))
% 201.76/202.08  (step @p730 :rule cong :premises (@p671 @p729 @p671) :args (@t537))
% 201.76/202.08  (step @p731 :rule and_elim :premises (@p1) :args (6))
% 201.76/202.08  (step @p732 :rule and_elim :premises (@p1) :args (11))
% 201.76/202.08  (step @p733 :rule cong :premises (@p732 @p731) :args (@t538))
% 201.76/202.08  (step @p734 :rule cong :premises (@p733) :args (@t539))
% 201.76/202.08  (step @p735 :rule cong :premises (@p671 @p734 @p671) :args (@t540))
% 201.76/202.08  (step @p736 :rule nary_cong :premises (@p652 @p685 @p735) :args (@t541))
% 201.76/202.08  (step @p737 :rule cong :premises (@p736) :args (@t542))
% 201.76/202.08  (step @p738 :rule cong :premises (@p737) :args (@t543))
% 201.76/202.08  (step @p739 :rule cong :premises (@p678 @p671) :args (@t544))
% 201.76/202.08  (step @p740 :rule cong :premises (@p739 @p689) :args (@t545))
% 201.76/202.08  (step @p741 :rule cong :premises (@p671 @p740 @p671) :args (@t546))
% 201.76/202.08  (step @p742 :rule nary_cong :premises (@p682 @p693 @p741) :args (@t547))
% 201.76/202.08  (step @p743 :rule cong :premises (@p742) :args (@t548))
% 201.76/202.08  (step @p744 :rule cong :premises (@p743) :args (@t549))
% 201.76/202.08  (step @p745 :rule nary_cong :premises (@p744 @p738 @p730) :args (@t550))
% 201.76/202.08  (step @p746 :rule cong :premises (@p745) :args (@t551))
% 201.76/202.08  (step @p747 :rule cong :premises (@p727 @p746) :args ((= tptp.hoasinduction_no_psi_cond @t551)))
% 201.76/202.08  (step @p748 :rule trans :premises (@p747 @p728))
% 201.76/202.08  (step @p749 :rule refl :args (@t537))
% 201.76/202.08  (step @p750 :rule refl :args (@t98))
% 201.76/202.08  (step @p751 :rule cong :premises (@p750 @p749) :args ((= @t98 @t537)))
% 201.76/202.08  (step @p752 :rule symm :premises (@p751))
% 201.76/202.08  (step @p753 :rule eq_resolve :premises (@p750 @p752))
% 201.76/202.08  (step @p754 :rule refl :args (@t543))
% 201.76/202.08  (step @p755 :rule refl :args (@t549))
% 201.76/202.08  (step @p756 :rule nary_cong :premises (@p755 @p754 @p753) :args (@t552))
% 201.76/202.08  (step @p757 :rule cong :premises (@p756) :args ((forall @t100 @t552)))
% 201.76/202.08  (step @p758 :rule refl :args (@t98))
% 201.76/202.08  (step @p759 :rule refl :args ((_ @t2 tptp.id @t6 tptp.id)))
% 201.76/202.08  (step @p760 :rule refl :args (tptp.id))
% 201.76/202.08  (step @p761 :rule refl :args ((tptp.lam @t5)))
% 201.76/202.08  (step @p762 :rule refl :args (@t538))
% 201.76/202.08  (step @p763 :rule cong :premises (@p762) :args (@t539))
% 201.76/202.08  (step @p764 :rule trans :premises (@p763 @p761))
% 201.76/202.08  (step @p765 :rule cong :premises (@p760 @p764 @p760) :args (@t540))
% 201.76/202.08  (step @p766 :rule trans :premises (@p765 @p759))
% 201.76/202.08  (step @p767 :rule refl :args (@t3))
% 201.76/202.08  (step @p768 :rule ho_cong :premises (@p767 @p764))
% 201.76/202.08  (step @p769 :rule ho_cong :premises (@p768 @p760))
% 201.76/202.08  (step @p770 :rule cong :premises (@p769 @p766) :args ((= (_ (_ @t3 @t539) tptp.id) @t540)))
% 201.76/202.08  (step @p771 :rule symm :premises (@p770))
% 201.76/202.08  (step @p772 :rule refl :args (@t7))
% 201.76/202.08  (step @p773 :rule eq_resolve :premises (@p772 @p771))
% 201.76/202.08  (step @p774 :rule refl :args (tptp.lam))
% 201.76/202.08  (step @p775 :rule ho_cong :premises (@p774 @p762))
% 201.76/202.08  (step @p776 :rule cong :premises (@p775 @p764) :args ((= (_ tptp.lam @t538) @t539)))
% 201.76/202.08  (step @p777 :rule symm :premises (@p776))
% 201.76/202.08  (step @p778 :rule refl :args (@t6))
% 201.76/202.08  (step @p779 :rule eq_resolve :premises (@p778 @p777))
% 201.76/202.08  (step @p780 :rule refl :args (@t5))
% 201.76/202.08  (step @p781 :rule cong :premises (@p780 @p762) :args ((= @t5 @t538)))
% 201.76/202.08  (step @p782 :rule symm :premises (@p781))
% 201.76/202.08  (step @p783 :rule eq_resolve :premises (@p780 @p782))
% 201.76/202.08  (step @p784 :rule ho_cong :premises (@p774 @p783))
% 201.76/202.08  (step @p785 :rule trans :premises (@p784 @p779))
% 201.76/202.08  (step @p786 :rule ho_cong :premises (@p767 @p785))
% 201.76/202.08  (step @p787 :rule ho_cong :premises (@p786 @p760))
% 201.76/202.08  (step @p788 :rule trans :premises (@p787 @p773))
% 201.76/202.08  (step @p789 :rule refl :args (@t507))
% 201.76/202.08  (step @p790 :rule nary_cong :premises (@p710 @p789 @p788) :args (@t553))
% 201.76/202.08  (step @p791 :rule cong :premises (@p790) :args ((forall @t31 @t553)))
% 201.76/202.08  (step @p792 :rule refl :args (@t7))
% 201.76/202.08  (step @p793 :rule refl :args ((_ @t2 tptp.id @t9 tptp.id)))
% 201.76/202.08  (step @p794 :rule refl :args (@t501))
% 201.76/202.08  (step @p795 :rule cong :premises (@p760 @p794 @p760) :args (@t502))
% 201.76/202.08  (step @p796 :rule trans :premises (@p795 @p793))
% 201.76/202.08  (step @p797 :rule ho_cong :premises (@p767 @p794))
% 201.76/202.08  (step @p798 :rule ho_cong :premises (@p797 @p760))
% 201.76/202.08  (step @p799 :rule cong :premises (@p798 @p796) :args ((= (_ (_ @t3 @t501) tptp.id) @t502)))
% 201.76/202.08  (step @p800 :rule symm :premises (@p799))
% 201.76/202.08  (step @p801 :rule refl :args (@t10))
% 201.76/202.08  (step @p802 :rule eq_resolve :premises (@p801 @p800))
% 201.76/202.08  (step @p803 :rule refl :args (@t9))
% 201.76/202.08  (step @p804 :rule cong :premises (@p803 @p794) :args ((= @t9 @t501)))
% 201.76/202.08  (step @p805 :rule symm :premises (@p804))
% 201.76/202.08  (step @p806 :rule eq_resolve :premises (@p803 @p805))
% 201.76/202.08  (step @p807 :rule ho_cong :premises (@p767 @p806))
% 201.76/202.08  (step @p808 :rule ho_cong :premises (@p807 @p760))
% 201.76/202.08  (step @p809 :rule trans :premises (@p808 @p802))
% 201.76/202.08  (step @p810 :rule refl :args (@t503))
% 201.76/202.08  (step @p811 :rule refl :args (@t11))
% 201.76/202.08  (step @p812 :rule cong :premises (@p811 @p810) :args ((= @t11 @t503)))
% 201.76/202.08  (step @p813 :rule symm :premises (@p812))
% 201.76/202.08  (step @p814 :rule eq_resolve :premises (@p811 @p813))
% 201.76/202.08  (step @p815 :rule cong :premises (@p814) :args (@t12))
% 201.76/202.08  (step @p816 :rule nary_cong :premises (@p815 @p809) :args (@t13))
% 201.76/202.08  (step @p817 :rule cong :premises (@p816) :args (@t15))
% 201.76/202.08  (step @p818 :rule cong :premises (@p817) :args (@t16))
% 201.76/202.08  (step @p819 :rule refl :args ((_ @t4 @t22 @t19)))
% 201.76/202.08  (step @p820 :rule refl :args (@t451))
% 201.76/202.08  (step @p821 :rule refl :args (@t452))
% 201.76/202.08  (step @p822 :rule cong :premises (@p821 @p820) :args (@t453))
% 201.76/202.08  (step @p823 :rule trans :premises (@p822 @p819))
% 201.76/202.08  (step @p824 :rule refl :args (@t4))
% 201.76/202.08  (step @p825 :rule ho_cong :premises (@p824 @p821))
% 201.76/202.08  (step @p826 :rule ho_cong :premises (@p825 @p820))
% 201.76/202.08  (step @p827 :rule cong :premises (@p826 @p823) :args ((= (_ (_ @t4 @t452) @t451) @t453)))
% 201.76/202.08  (step @p828 :rule symm :premises (@p827))
% 201.76/202.08  (step @p829 :rule refl :args (@t23))
% 201.76/202.08  (step @p830 :rule eq_resolve :premises (@p829 @p828))
% 201.76/202.08  (step @p831 :rule refl :args (@t19))
% 201.76/202.08  (step @p832 :rule cong :premises (@p831 @p820) :args ((= @t19 @t451)))
% 201.76/202.08  (step @p833 :rule symm :premises (@p832))
% 201.76/202.08  (step @p834 :rule eq_resolve :premises (@p831 @p833))
% 201.76/202.08  (step @p835 :rule refl :args (@t22))
% 201.76/202.08  (step @p836 :rule cong :premises (@p835 @p821) :args ((= @t22 @t452)))
% 201.76/202.08  (step @p837 :rule symm :premises (@p836))
% 201.76/202.08  (step @p838 :rule eq_resolve :premises (@p835 @p837))
% 201.76/202.08  (step @p839 :rule ho_cong :premises (@p824 @p838))
% 201.76/202.08  (step @p840 :rule ho_cong :premises (@p839 @p834))
% 201.76/202.08  (step @p841 :rule trans :premises (@p840 @p830))
% 201.76/202.08  (step @p842 :rule refl :args ((tptp.sub @t24 @t17)))
% 201.76/202.08  (step @p843 :rule refl :args (@t17))
% 201.76/202.08  (step @p844 :rule refl :args (@t454))
% 201.76/202.08  (step @p845 :rule cong :premises (@p844 @p843) :args (@t455))
% 201.76/202.08  (step @p846 :rule trans :premises (@p845 @p842))
% 201.76/202.08  (step @p847 :rule refl :args (tptp.sub))
% 201.76/202.08  (step @p848 :rule ho_cong :premises (@p847 @p844))
% 201.76/202.08  (step @p849 :rule ho_cong :premises (@p848 @p843))
% 201.76/202.08  (step @p850 :rule cong :premises (@p849 @p846) :args ((= (_ (_ tptp.sub @t454) @t17) @t455)))
% 201.76/202.08  (step @p851 :rule symm :premises (@p850))
% 201.76/202.08  (step @p852 :rule refl :args (@t25))
% 201.76/202.08  (step @p853 :rule eq_resolve :premises (@p852 @p851))
% 201.76/202.08  (step @p854 :rule refl :args (@t24))
% 201.76/202.08  (step @p855 :rule cong :premises (@p854 @p844) :args ((= @t24 @t454)))
% 201.76/202.08  (step @p856 :rule symm :premises (@p855))
% 201.76/202.08  (step @p857 :rule eq_resolve :premises (@p854 @p856))
% 201.76/202.08  (step @p858 :rule ho_cong :premises (@p847 @p857))
% 201.76/202.08  (step @p859 :rule ho_cong :premises (@p858 @p843))
% 201.76/202.08  (step @p860 :rule trans :premises (@p859 @p853))
% 201.76/202.08  (step @p861 :rule cong :premises (@p860 @p841) :args (@t26))
% 201.76/202.08  (step @p862 :rule cong :premises (@p861) :args (@t28))
% 201.76/202.08  (step @p863 :rule cong :premises (@p862) :args (@t29))
% 201.76/202.08  (step @p864 :rule nary_cong :premises (@p863 @p818 @p792) :args (@t30))
% 201.76/202.08  (step @p865 :rule cong :premises (@p864) :args (@t32))
% 201.76/202.08  (step @p866 :rule trans :premises (@p865 @p791))
% 201.76/202.08  (step @p867 :rule cong :premises (@p866) :args (@t33))
% 201.76/202.08  (step @p868 :rule refl :args ((_ @t2 tptp.id @t37 tptp.id)))
% 201.76/202.08  (step @p869 :rule refl :args ((tptp.ap @t35 @t34)))
% 201.76/202.08  (step @p870 :rule refl :args (@t544))
% 201.76/202.08  (step @p871 :rule cong :premises (@p870 @p657) :args (@t545))
% 201.76/202.08  (step @p872 :rule trans :premises (@p871 @p869))
% 201.76/202.08  (step @p873 :rule cong :premises (@p760 @p872 @p760) :args (@t546))
% 201.76/202.08  (step @p874 :rule trans :premises (@p873 @p868))
% 201.76/202.08  (step @p875 :rule ho_cong :premises (@p767 @p872))
% 201.76/202.08  (step @p876 :rule ho_cong :premises (@p875 @p760))
% 201.76/202.08  (step @p877 :rule cong :premises (@p876 @p874) :args ((= (_ (_ @t3 @t545) tptp.id) @t546)))
% 201.76/202.08  (step @p878 :rule symm :premises (@p877))
% 201.76/202.08  (step @p879 :rule refl :args (@t38))
% 201.76/202.08  (step @p880 :rule eq_resolve :premises (@p879 @p878))
% 201.76/202.08  (step @p881 :rule refl :args (tptp.ap))
% 201.76/202.08  (step @p882 :rule ho_cong :premises (@p881 @p870))
% 201.76/202.08  (step @p883 :rule ho_cong :premises (@p882 @p657))
% 201.76/202.08  (step @p884 :rule cong :premises (@p883 @p872) :args ((= (_ (_ tptp.ap @t544) @t34) @t545)))
% 201.76/202.08  (step @p885 :rule symm :premises (@p884))
% 201.76/202.08  (step @p886 :rule refl :args (@t37))
% 201.76/202.08  (step @p887 :rule eq_resolve :premises (@p886 @p885))
% 201.76/202.08  (step @p888 :rule refl :args (@t35))
% 201.76/202.08  (step @p889 :rule cong :premises (@p888 @p870) :args ((= @t35 @t544)))
% 201.76/202.08  (step @p890 :rule symm :premises (@p889))
% 201.76/202.08  (step @p891 :rule eq_resolve :premises (@p888 @p890))
% 201.76/202.08  (step @p892 :rule ho_cong :premises (@p881 @p891))
% 201.76/202.08  (step @p893 :rule ho_cong :premises (@p892 @p657))
% 201.76/202.08  (step @p894 :rule trans :premises (@p893 @p887))
% 201.76/202.08  (step @p895 :rule ho_cong :premises (@p767 @p894))
% 201.76/202.08  (step @p896 :rule ho_cong :premises (@p895 @p760))
% 201.76/202.08  (step @p897 :rule trans :premises (@p896 @p880))
% 201.76/202.08  (step @p898 :rule refl :args (@t513))
% 201.76/202.08  (step @p899 :rule refl :args (@t39))
% 201.76/202.08  (step @p900 :rule cong :premises (@p899 @p898) :args ((= @t39 @t513)))
% 201.76/202.08  (step @p901 :rule symm :premises (@p900))
% 201.76/202.08  (step @p902 :rule eq_resolve :premises (@p899 @p901))
% 201.76/202.08  (step @p903 :rule cong :premises (@p902) :args (@t40))
% 201.76/202.08  (step @p904 :rule nary_cong :premises (@p815 @p903 @p897) :args (@t41))
% 201.76/202.08  (step @p905 :rule cong :premises (@p904) :args (@t43))
% 201.76/202.08  (step @p906 :rule cong :premises (@p905) :args (@t44))
% 201.76/202.08  (step @p907 :rule nary_cong :premises (@p906 @p867 @p758) :args (@t99))
% 201.76/202.08  (step @p908 :rule cong :premises (@p907) :args (@t101))
% 201.76/202.08  (step @p909 :rule trans :premises (@p908 @p757))
% 201.76/202.08  (step @p910 :rule cong :premises (@p727 @p909) :args (@t102))
% 201.76/202.08  (step @p911 :rule and_elim :premises (@p1) :args (109))
% 201.76/202.08  (step @p912 :rule eq_resolve :premises (@p911 @p910))
% 201.76/202.08  (step @p913 :rule eq_resolve :premises (@p912 @p748))
% 201.76/202.08  (step @p914 :rule cong :premises (@p913 @p698) :args (@t554))
% 201.76/202.08  (step @p915 :rule cong :premises (@p914) :args ((not @t554)))
% 201.76/202.08  (step @p916 :rule trans :premises (@p915 @p670))
% 201.76/202.08  (step @p917 :rule quant-merge-prenex :args ((= (forall @t78 @t556) @t519)))
% 201.76/202.08  (step @p918 :rule alpha_equiv :args (@t557 (@list @t240) (@list @t8)))
% 201.76/202.08  (step @p919 :rule refl :args (@t510))
% 201.76/202.08  (step @p920 :rule refl :args (@t517))
% 201.76/202.08  (step @p921 :rule nary_cong :premises (@p920 @p919 @p918) :args (@t558))
% 201.76/202.08  (step @p922 :rule quant-miniscope-or :args ((= @t556 @t558)))
% 201.76/202.08  (step @p923 :rule trans :premises (@p922 @p921))
% 201.76/202.08  (step @p924 :rule symm :premises (@p923))
% 201.76/202.08  (step @p925 :rule cong :premises (@p924) :args ((forall @t78 @t560)))
% 201.76/202.08  (step @p926 :rule trans :premises (@p925 @p917))
% 201.76/202.08  (step @p927 :rule aci_norm :args ((= (or @t517 (or @t510 @t559)) @t560)))
% 201.76/202.08  (step @p928 :rule bool-impl-elim :args (@t509 @t559))
% 201.76/202.08  (step @p929 :rule nary_cong :premises (@p920 @p928) :args ((or @t517 @t561)))
% 201.76/202.08  (step @p930 :rule trans :premises (@p929 @p927))
% 201.76/202.08  (step @p931 :rule bool-impl-elim :args (@t516 @t561))
% 201.76/202.08  (step @p932 :rule trans :premises (@p931 @p930))
% 201.76/202.08  (step @p933 :rule cong :premises (@p932) :args ((forall @t78 (=> @t516 @t561))))
% 201.76/202.08  (step @p934 :rule trans :premises (@p933 @p926))
% 201.76/202.08  (step @p935 :rule cong :premises (@p814) :args (@t182))
% 201.76/202.08  (step @p936 :rule refl :args (tptp.id))
% 201.76/202.08  (step @p937 :rule lambda-elim :args ((= @t562 @t4)))
% 201.76/202.08  (step @p938 :rule cong :premises (@p936 @p937) :args (@t563))
% 201.76/202.08  (step @p939 :rule cong :premises (@p936 @p938 @p936) :args (@t564))
% 201.76/202.08  (step @p940 :rule refl :args (@t507))
% 201.76/202.08  (step @p941 :rule nary_cong :premises (@p652 @p940 @p939) :args (@t565))
% 201.76/202.08  (step @p942 :rule cong :premises (@p941) :args ((forall @t31 @t565)))
% 201.76/202.08  (step @p943 :rule refl :args ((_ @t2 tptp.id @t186 tptp.id)))
% 201.76/202.08  (step @p944 :rule refl :args ((tptp.hoaslam tptp.id @t184)))
% 201.76/202.08  (step @p945 :rule cong :premises (@p844) :args (@t562))
% 201.76/202.08  (step @p946 :rule cong :premises (@p760 @p945) :args (@t563))
% 201.76/202.08  (step @p947 :rule trans :premises (@p946 @p944))
% 201.76/202.08  (step @p948 :rule cong :premises (@p760 @p947 @p760) :args (@t564))
% 201.76/202.08  (step @p949 :rule trans :premises (@p948 @p943))
% 201.76/202.08  (step @p950 :rule ho_cong :premises (@p767 @p947))
% 201.76/202.08  (step @p951 :rule ho_cong :premises (@p950 @p760))
% 201.76/202.08  (step @p952 :rule cong :premises (@p951 @p949) :args ((= (_ (_ @t3 @t563) tptp.id) @t564)))
% 201.76/202.08  (step @p953 :rule symm :premises (@p952))
% 201.76/202.08  (step @p954 :rule refl :args (@t187))
% 201.76/202.08  (step @p955 :rule eq_resolve :premises (@p954 @p953))
% 201.76/202.08  (step @p956 :rule refl :args (@t185))
% 201.76/202.08  (step @p957 :rule ho_cong :premises (@p956 @p945))
% 201.76/202.08  (step @p958 :rule cong :premises (@p957 @p947) :args ((= (_ @t185 @t562) @t563)))
% 201.76/202.08  (step @p959 :rule symm :premises (@p958))
% 201.76/202.08  (step @p960 :rule refl :args (@t186))
% 201.76/202.08  (step @p961 :rule eq_resolve :premises (@p960 @p959))
% 201.76/202.08  (step @p962 :rule cong :premises (@p857) :args (@t184))
% 201.76/202.08  (step @p963 :rule ho_cong :premises (@p956 @p962))
% 201.76/202.08  (step @p964 :rule trans :premises (@p963 @p961))
% 201.76/202.08  (step @p965 :rule ho_cong :premises (@p767 @p964))
% 201.76/202.08  (step @p966 :rule ho_cong :premises (@p965 @p760))
% 201.76/202.08  (step @p967 :rule trans :premises (@p966 @p955))
% 201.76/202.08  (step @p968 :rule nary_cong :premises (@p710 @p789 @p967) :args (@t566))
% 201.76/202.08  (step @p969 :rule cong :premises (@p968) :args ((forall @t31 @t566)))
% 201.76/202.08  (step @p970 :rule trans :premises (@p969 @p942))
% 201.76/202.08  (step @p971 :rule aci_norm :args ((= (or @t457 (or @t507 @t187)) @t566)))
% 201.76/202.08  (step @p972 :rule bool-impl-elim :args (@t506 @t187))
% 201.76/202.08  (step @p973 :rule nary_cong :premises (@p710 @p972) :args ((or @t457 @t567)))
% 201.76/202.08  (step @p974 :rule trans :premises (@p973 @p971))
% 201.76/202.08  (step @p975 :rule bool-impl-elim :args (@t456 @t567))
% 201.76/202.08  (step @p976 :rule trans :premises (@p975 @p974))
% 201.76/202.08  (step @p977 :rule cong :premises (@p976) :args ((forall @t31 (=> @t456 @t567))))
% 201.76/202.08  (step @p978 :rule trans :premises (@p977 @p970))
% 201.76/202.08  (step @p979 :rule refl :args (@t187))
% 201.76/202.08  (step @p980 :rule bool-impl-elim :args (@t11 @t10))
% 201.76/202.08  (step @p981 :rule cong :premises (@p980) :args (@t188))
% 201.76/202.08  (step @p982 :rule trans :premises (@p981 @p817))
% 201.76/202.08  (step @p983 :rule cong :premises (@p982 @p979) :args (@t189))
% 201.76/202.08  (step @p984 :rule cong :premises (@p862 @p983) :args (@t190))
% 201.76/202.08  (step @p985 :rule cong :premises (@p984) :args (@t191))
% 201.76/202.08  (step @p986 :rule trans :premises (@p985 @p978))
% 201.76/202.08  (step @p987 :rule cong :premises (@p986 @p935) :args (@t192))
% 201.76/202.08  (step @p988 :rule refl :args ((_ @t2 tptp.id @t193 tptp.id)))
% 201.76/202.08  (step @p989 :rule refl :args (@t511))
% 201.76/202.08  (step @p990 :rule cong :premises (@p760 @p989 @p760) :args (@t512))
% 201.76/202.08  (step @p991 :rule trans :premises (@p990 @p988))
% 201.76/202.08  (step @p992 :rule ho_cong :premises (@p767 @p989))
% 201.76/202.08  (step @p993 :rule ho_cong :premises (@p992 @p760))
% 201.76/202.08  (step @p994 :rule cong :premises (@p993 @p991) :args ((= (_ (_ @t3 @t511) tptp.id) @t512)))
% 201.76/202.08  (step @p995 :rule symm :premises (@p994))
% 201.76/202.08  (step @p996 :rule refl :args (@t194))
% 201.76/202.08  (step @p997 :rule eq_resolve :premises (@p996 @p995))
% 201.76/202.08  (step @p998 :rule refl :args (@t193))
% 201.76/202.08  (step @p999 :rule cong :premises (@p998 @p989) :args ((= @t193 @t511)))
% 201.76/202.08  (step @p1000 :rule symm :premises (@p999))
% 201.76/202.08  (step @p1001 :rule eq_resolve :premises (@p998 @p1000))
% 201.76/202.08  (step @p1002 :rule ho_cong :premises (@p767 @p1001))
% 201.76/202.08  (step @p1003 :rule ho_cong :premises (@p1002 @p760))
% 201.76/202.08  (step @p1004 :rule trans :premises (@p1003 @p997))
% 201.76/202.08  (step @p1005 :rule nary_cong :premises (@p815 @p903 @p1004) :args (@t568))
% 201.76/202.08  (step @p1006 :rule cong :premises (@p1005) :args ((forall @t42 @t568)))
% 201.76/202.08  (step @p1007 :rule aci_norm :args ((= (or @t12 (or @t40 @t194)) @t568)))
% 201.76/202.08  (step @p1008 :rule bool-impl-elim :args (@t39 @t194))
% 201.76/202.08  (step @p1009 :rule refl :args (@t12))
% 201.76/202.08  (step @p1010 :rule nary_cong :premises (@p1009 @p1008) :args ((or @t12 @t195)))
% 201.76/202.08  (step @p1011 :rule trans :premises (@p1010 @p1007))
% 201.76/202.08  (step @p1012 :rule bool-impl-elim :args (@t11 @t195))
% 201.76/202.08  (step @p1013 :rule trans :premises (@p1012 @p1011))
% 201.76/202.08  (step @p1014 :rule cong :premises (@p1013) :args (@t196))
% 201.76/202.08  (step @p1015 :rule trans :premises (@p1014 @p1006))
% 201.76/202.08  (step @p1016 :rule cong :premises (@p1015 @p987) :args (@t197))
% 201.76/202.08  (step @p1017 :rule cong :premises (@p1016) :args (@t198))
% 201.76/202.08  (step @p1018 :rule trans :premises (@p1017 @p934))
% 201.76/202.08  (step @p1019 :rule cong :premises (@p727 @p1018) :args (@t199))
% 201.76/202.08  (step @p1020 :rule cong :premises (@p1019) :args (@t200))
% 201.76/202.08  (step @p1021 :rule trans :premises (@p1020 @p916 @p611 @p610))
% 201.76/202.08  (step @p1022 :rule eq_resolve :premises (@p2 @p1021))
% 201.76/202.08  (step @p1023 :rule not_equiv_elim2 :premises (@p1022))
% 201.76/202.08  (step @p1024 :rule chain_m_resolution :premises (@p1023 @p585) :args (@t569 @t228 (@list @t288)))
% 201.76/202.08  (step @p1025 :rule refl :args (@t579))
% 201.76/202.08  (step @p1026 :rule bool-double-not-elim :args (@t266))
% 201.76/202.08  (step @p1027 :rule nary_cong :premises (@p1026 @p1025) :args ((or (not @t569) @t579)))
% 201.76/202.08  (assume-push @p1361 @t569)
% 201.76/202.08  (step @p1029 :rule skolemize :premises (@p1361))
% 201.76/202.08  (step-pop @p1362 :rule scope :premises (@p1029))
% 201.76/202.08  (step @p1030 :rule process_scope :premises (@p1362) :args (@t579))
% 201.76/202.08  (step @p1032 :rule implies_elim :premises (@p1030))
% 201.76/202.08  (step @p1033 :rule eq_resolve :premises (@p1032 @p1027))
% 201.76/202.08  (step @p1034 :rule chain_m_resolution :premises (@p1033 @p1024) :args (@t579 @t235 (@list @t266)))
% 201.76/202.08  (step @p1035 :rule cnf_or_neg :args (@t578 1))
% 201.76/202.08  (step @p1036 :rule chain_m_resolution :premises (@p1035 @p1034) :args ((not @t577) @t235 @t580))
% 201.76/202.08  (step @p1037 :rule instantiate :premises (@p53) :args ((@list @t582)))
% 201.76/202.08  (step @p1038 :rule eq-symm :args (@t570 @t203))
% 201.76/202.08  (step @p1039 :rule cong :premises (@p1038) :args (@t583))
% 201.76/202.08  (step @p1040 :rule cong :premises (@p1039) :args (@t584))
% 201.76/202.08  (step @p1041 :rule cong :premises (@p1040) :args (@t585))
% 201.76/202.08  (step @p1042 :rule cong :premises (@p25 @p1041) :args ((=> @t204 @t585)))
% 201.76/202.08  (assume-push @p1363 @t204)
% 201.76/202.08  (step @p1044 :rule instantiate :premises (@p20) :args ((@list @t570)))
% 201.76/202.08  (step-pop @p1364 :rule scope :premises (@p1044))
% 201.76/202.08  (step @p1045 :rule process_scope :premises (@p1364) :args (@t585))
% 201.76/202.08  (step @p1047 :rule eq_resolve :premises (@p1045 @p1042))
% 201.76/202.08  (step @p1048 :rule implies_elim :premises (@p1047))
% 201.76/202.08  (step @p1049 :rule chain_m_resolution :premises (@p1048 @p20) :args (@t586 @t228 @t229))
% 201.76/202.08  (step @p1050 :rule refl :args (@t588))
% 201.76/202.08  (step @p1051 :rule bool-double-not-elim :args (@t581))
% 201.76/202.08  (step @p1052 :rule nary_cong :premises (@p1051 @p1050) :args ((or (not @t586) @t588)))
% 201.76/202.08  (step @p1053 :rule eq-symm :args (@t587 @t570))
% 201.76/202.08  (step @p1054 :rule bool-double-not-elim :args (@t589))
% 201.76/202.08  (step @p1055 :rule trans :premises (@p1054 @p1053))
% 201.76/202.08  (step @p1056 :rule refl :args (@t586))
% 201.76/202.08  (step @p1057 :rule cong :premises (@p1056 @p1055) :args ((=> @t586 @t590)))
% 201.76/202.08  (assume-push @p1365 @t586)
% 201.76/202.08  (step @p1059 :rule skolemize :premises (@p1049))
% 201.76/202.08  (step-pop @p1366 :rule scope :premises (@p1059))
% 201.76/202.08  (step @p1060 :rule process_scope :premises (@p1366) :args (@t590))
% 201.76/202.08  (step @p1062 :rule eq_resolve :premises (@p1060 @p1057))
% 201.76/202.08  (step @p1063 :rule implies_elim :premises (@p1062))
% 201.76/202.08  (step @p1064 :rule eq_resolve :premises (@p1063 @p1052))
% 201.76/202.08  (step @p1065 :rule chain_m_resolution :premises (@p1064 @p1049) :args (@t588 @t235 (@list @t581)))
% 201.76/202.08  (step @p1066 :rule cnf_or_neg :args (@t578 2))
% 201.76/202.08  (step @p1067 :rule chain_m_resolution :premises (@p1066 @p1034) :args (@t591 @t235 @t580))
% 201.76/202.08  (step @p1068 :rule refl :args (@t576))
% 201.76/202.08  (step @p1069 :rule refl :args (@t593))
% 201.76/202.08  (step @p1070 :rule refl :args (@t594))
% 201.76/202.08  (step @p1071 :rule bool-double-not-elim :args (@t571))
% 201.76/202.08  (step @p1072 :rule nary_cong :premises (@p1071 @p1070 @p1069 @p1068) :args ((or @t595 @t594 @t593 @t576)))
% 201.76/202.08  (assume-push @p1367 @t591)
% 201.76/202.08  (assume-push @p1368 @t588)
% 201.76/202.08  (assume-push @p1369 @t592)
% 201.76/202.08  (assume-push @p1370 @t592)
% 201.76/202.08  (assume-push @p1371 @t588)
% 201.76/202.08  (assume-push @p1372 @t591)
% 201.76/202.08  (step @p1079 :rule false_intro :premises (@p1367))
% 201.76/202.08  (step @p494 :rule refl :args (@t211))
% 201.76/202.08  (step @p1080 :rule symm :premises (@p1065))
% 201.76/202.08  (step @p1081 :rule cong :premises (@p154 @p1037) :args (@t236))
% 201.76/202.08  (step @p1082 :rule trans :premises (@p1081 @p1080))
% 201.76/202.08  (step @p1083 :rule refl :args (@t267))
% 201.76/202.08  (step @p1084 :rule cong :premises (@p1083 @p1082) :args (@t574))
% 201.76/202.08  (step @p1085 :rule cong :premises (@p1084 @p494) :args (@t575))
% 201.76/202.08  (step @p1086 :rule trans :premises (@p1085 @p1079))
% 201.76/202.08  (step @p1087 :rule false_elim :premises (@p1086))
% 201.76/202.08  (step-pop @p1373 :rule scope :premises (@p1087))
% 201.76/202.08  (step-pop @p1374 :rule scope :premises (@p1373))
% 201.76/202.08  (step-pop @p1375 :rule scope :premises (@p1374))
% 201.76/202.08  (step @p1088 :rule process_scope :premises (@p1375) :args (@t576))
% 201.76/202.08  (step @p1092 :rule and_intro :premises (@p1037 @p1065 @p1367))
% 201.76/202.08  (step @p1093 :rule modus_ponens :premises (@p1092 @p1088))
% 201.76/202.08  (step-pop @p1376 :rule scope :premises (@p1093))
% 201.76/202.08  (step-pop @p1377 :rule scope :premises (@p1376))
% 201.76/202.08  (step-pop @p1378 :rule scope :premises (@p1377))
% 201.76/202.08  (step @p1094 :rule process_scope :premises (@p1378) :args (@t576))
% 201.76/202.08  (step @p1098 :rule implies_elim :premises (@p1094))
% 201.76/202.08  (step @p1099 :rule cnf_and_neg :args (@t596))
% 201.76/202.08  (step @p1100 :rule resolution :premises (@p1099 @p1098) :args (true @t596))
% 201.76/202.08  (step @p1101 :rule eq_resolve :premises (@p1100 @p1072))
% 201.76/202.08  (step @p1102 :rule reordering :premises (@p1101) :args ((or @t576 @t571 @t594 @t593)))
% 201.76/202.08  (step @p1103 :rule chain_m_resolution :premises (@p1102 @p1067 @p1065 @p1037) :args (@t576 (@list true false false) (@list @t571 @t588 @t592)))
% 201.76/202.08  (step @p1104 :rule bool-double-not-elim :args (@t572))
% 201.76/202.08  (step @p1105 :rule bool-double-not-elim :args (@t575))
% 201.76/202.08  (step @p1106 :rule refl :args (@t577))
% 201.76/202.08  (step @p1107 :rule nary_cong :premises (@p1106 @p1105 @p1104) :args ((or @t577 (not @t576) (not @t573))))
% 201.76/202.08  (step @p1108 :rule cnf_and_neg :args (@t577))
% 201.76/202.08  (step @p1109 :rule eq_resolve :premises (@p1108 @p1107))
% 201.76/202.08  (step @p1110 :rule reordering :premises (@p1109) :args ((or @t575 @t572 @t577)))
% 201.76/202.08  (step @p1111 :rule chain_m_resolution :premises (@p1110 @p1103 @p1036) :args (@t572 (@list true true) (@list @t575 @t577)))
% 201.76/202.08  (assume-push @p1379 @t572)
% 201.76/202.08  (step @p1113 :rule instantiate :premises (@p1379) :args (@t296))
% 201.76/202.08  (step-pop @p1380 :rule scope :premises (@p1113))
% 201.76/202.08  (step @p1114 :rule process_scope :premises (@p1380) :args (@t598))
% 201.76/202.08  (step @p1116 :rule implies_elim :premises (@p1114))
% 201.76/202.08  (step @p1117 :rule chain_m_resolution :premises (@p1116 @p1111) :args (@t598 @t228 (@list @t572)))
% 201.76/202.08  (step @p1118 :rule cnf_or_pos :args (@t598))
% 201.76/202.08  (step @p1119 :rule reordering :premises (@p1118) :args ((or @t304 @t597 (not @t598))))
% 201.76/202.08  (step @p1120 :rule chain_m_resolution :premises (@p1119 @p416 @p1117) :args (@t597 @t415 (@list @t303 @t598)))
% 201.76/202.08  (step @p1121 :rule refl :args (@t603))
% 201.76/202.08  (step @p1122 :rule bool-double-not-elim :args (@t269))
% 201.76/202.08  (step @p1123 :rule nary_cong :premises (@p1122 @p1121) :args ((or (not @t597) @t603)))
% 201.76/202.08  (assume-push @p1381 @t597)
% 201.76/202.08  (step @p1125 :rule skolemize :premises (@p1381))
% 201.76/202.08  (step-pop @p1382 :rule scope :premises (@p1125))
% 201.76/202.08  (step @p1126 :rule process_scope :premises (@p1382) :args (@t603))
% 201.76/202.08  (step @p1128 :rule implies_elim :premises (@p1126))
% 201.76/202.08  (step @p1129 :rule eq_resolve :premises (@p1128 @p1123))
% 201.76/202.08  (step @p1130 :rule chain_m_resolution :premises (@p1129 @p1120) :args (@t603 @t235 (@list @t269)))
% 201.76/202.08  (step @p1131 :rule bool-double-not-elim :args (@t600))
% 201.76/202.08  (step @p1132 :rule refl :args (@t602))
% 201.76/202.08  (step @p1133 :rule nary_cong :premises (@p1132 @p1131) :args ((or @t602 (not @t601))))
% 201.76/202.08  (step @p1134 :rule cnf_or_neg :args (@t602 0))
% 201.76/202.08  (step @p1135 :rule eq_resolve :premises (@p1134 @p1133))
% 201.76/202.08  (step @p1136 :rule reordering :premises (@p1135) :args ((or @t600 @t602)))
% 201.76/202.08  (step @p1137 :rule chain_m_resolution :premises (@p1136 @p1130) :args (@t600 @t235 (@list @t602)))
% 201.76/202.08  (step @p1138 :rule refl :args (@t605))
% 201.76/202.08  (step @p1139 :rule refl :args (@t601))
% 201.76/202.08  (step @p1140 :rule nary_cong :premises (@p1071 @p1070 @p1069 @p1139 @p1138) :args ((or @t595 @t594 @t593 @t601 @t605)))
% 201.76/202.08  (assume-push @p1383 @t604)
% 201.76/202.08  (assume-push @p1384 @t600)
% 201.76/202.08  (assume-push @p1385 @t592)
% 201.76/202.08  (assume-push @p1386 @t588)
% 201.76/202.08  (assume-push @p1387 @t591)
% 201.76/202.08  (step @p1146 :rule evaluate :args ((= true false)))
% 201.76/202.08  (step @p1147 :rule false_intro :premises (@p1387))
% 201.76/202.08  (step @p494 :rule refl :args (@t211))
% 201.76/202.08  (step @p1080 :rule symm :premises (@p1065))
% 201.76/202.08  (step @p1081 :rule cong :premises (@p154 @p1037) :args (@t236))
% 201.76/202.08  (step @p1082 :rule trans :premises (@p1081 @p1080))
% 201.76/202.08  (step @p1083 :rule refl :args (@t267))
% 201.76/202.08  (step @p1084 :rule cong :premises (@p1083 @p1082) :args (@t574))
% 201.76/202.08  (step @p1085 :rule cong :premises (@p1084 @p494) :args (@t575))
% 201.76/202.08  (step @p1148 :rule symm :premises (@p1383))
% 201.76/202.08  (step @p1149 :rule cong :premises (@p1083 @p1148) :args (@t599))
% 201.76/202.08  (step @p1150 :rule cong :premises (@p1149 @p494) :args (@t600))
% 201.76/202.08  (step @p1151 :rule true_intro :premises (@p1384))
% 201.76/202.08  (step @p1152 :rule symm :premises (@p1151))
% 201.76/202.08  (step @p1153 :rule trans :premises (@p1152 @p1150 @p1085 @p1147))
% 201.76/202.08  (step @p1154 false :rule eq_resolve :premises (@p1153 @p1146))
% 201.76/202.08  (step-pop @p1388 :rule scope :premises (@p1154))
% 201.76/202.08  (step-pop @p1389 :rule scope :premises (@p1388))
% 201.76/202.08  (step-pop @p1390 :rule scope :premises (@p1389))
% 201.76/202.08  (step-pop @p1391 :rule scope :premises (@p1390))
% 201.76/202.08  (step-pop @p1392 :rule scope :premises (@p1391))
% 201.76/202.08  (step @p1155 :rule process_scope :premises (@p1392) :args (false))
% 201.76/202.08  (assume-push @p1393 @t591)
% 201.76/202.08  (assume-push @p1394 @t588)
% 201.76/202.08  (assume-push @p1395 @t592)
% 201.76/202.08  (assume-push @p1396 @t600)
% 201.76/202.08  (assume-push @p1397 @t604)
% 201.76/202.08  (step @p1166 :rule and_intro :premises (@p1397 @p1396 @p1037 @p1065 @p1393))
% 201.76/202.08  (step-pop @p1398 :rule scope :premises (@p1166))
% 201.76/202.08  (step-pop @p1399 :rule scope :premises (@p1398))
% 201.76/202.08  (step-pop @p1400 :rule scope :premises (@p1399))
% 201.76/202.08  (step-pop @p1401 :rule scope :premises (@p1400))
% 201.76/202.08  (step-pop @p1402 :rule scope :premises (@p1401))
% 201.76/202.08  (step @p1167 :rule process_scope :premises (@p1402) :args (@t606))
% 201.76/202.08  (step @p1173 :rule implies_elim :premises (@p1167))
% 201.76/202.08  (step @p1174 :rule resolution :premises (@p1173 @p1155) :args (true @t606))
% 201.76/202.08  (step @p1175 :rule not_and :premises (@p1174))
% 201.76/202.08  (step @p1176 :rule eq_resolve :premises (@p1175 @p1140))
% 201.76/202.08  (step @p1177 :rule chain_m_resolution :premises (@p1176 @p1067 @p1065 @p1037 @p1137) :args (@t605 (@list true false false false) (@list @t571 @t588 @t592 @t600)))
% 201.76/202.08  (step @p1178 :rule refl :args (@t608))
% 201.76/202.08  (step @p1179 :rule bool-double-not-elim :args (@t604))
% 201.76/202.08  (step @p1180 :rule refl :args (@t396))
% 201.76/202.08  (step @p1181 :rule refl :args (@t397))
% 201.76/202.08  (step @p1182 :rule nary_cong :premises (@p1181 @p1180 @p1179 @p1178) :args ((or @t397 @t396 (not @t605) @t608)))
% 201.76/202.08  (assume-push @p1403 @t232)
% 201.76/202.08  (assume-push @p1404 @t383)
% 201.76/202.08  (assume-push @p1405 @t605)
% 201.76/202.08  (assume-push @p1406 @t605)
% 201.76/202.08  (assume-push @p1407 @t393)
% 201.76/202.08  (assume-push @p1408 @t232)
% 201.76/202.08  (step @p1189 :rule false_intro :premises (@p1405))
% 201.76/202.08  (step @p1190 :rule refl :args (@t270))
% 201.76/202.08  (step @p1191 :rule symm :premises (@p366))
% 201.76/202.08  (step @p1192 :rule trans :premises (@p49 @p1191))
% 201.76/202.08  (step @p1193 :rule cong :premises (@p1192 @p1190) :args (@t607))
% 201.76/202.08  (step @p1194 :rule trans :premises (@p1193 @p1189))
% 201.76/202.08  (step @p1195 :rule false_elim :premises (@p1194))
% 201.76/202.08  (step-pop @p1409 :rule scope :premises (@p1195))
% 201.76/202.08  (step-pop @p1410 :rule scope :premises (@p1409))
% 201.76/202.08  (step-pop @p1411 :rule scope :premises (@p1410))
% 201.76/202.08  (step @p1196 :rule process_scope :premises (@p1411) :args (@t608))
% 201.76/202.08  (step @p1200 :rule and_intro :premises (@p1405 @p366 @p49))
% 201.76/202.08  (step @p1201 :rule modus_ponens :premises (@p1200 @p1196))
% 201.76/202.08  (step-pop @p1412 :rule scope :premises (@p1201))
% 201.76/202.08  (step-pop @p1413 :rule scope :premises (@p1412))
% 201.76/202.09  (step-pop @p1414 :rule scope :premises (@p1413))
% 201.76/202.09  (step @p1202 :rule process_scope :premises (@p1414) :args (@t608))
% 201.76/202.09  (step @p1206 :rule implies_elim :premises (@p1202))
% 201.76/202.09  (step @p1207 :rule cnf_and_neg :args (@t609))
% 201.76/202.09  (step @p1208 :rule resolution :premises (@p1207 @p1206) :args (true @t609))
% 201.76/202.09  (step @p1209 :rule eq_resolve :premises (@p1208 @p1182))
% 201.76/202.09  (step @p1210 :rule chain_m_resolution :premises (@p1209 @p49 @p54 @p1177) :args (@t608 (@list false false true) (@list @t232 @t383 @t604)))
% 201.76/202.09  (step @p1211 :rule instantiate :premises (@p53) :args ((@list @t276)))
% 201.76/202.09  (assume-push @p1415 @t232)
% 201.76/202.09  (assume-push @p1416 @t383)
% 201.76/202.09  (assume-push @p1417 @t278)
% 201.76/202.09  (assume-push @p1418 @t610)
% 201.76/202.09  (step @p1216 :rule symm :premises (@p82))
% 201.76/202.09  (step @p1217 :rule cong :premises (@p154 @p1211) :args (@t236))
% 201.76/202.09  (step @p1191 :rule symm :premises (@p366))
% 201.76/202.09  (step @p1218 :rule trans :premises (@p49 @p1191 @p1217 @p1216))
% 201.76/202.09  (step-pop @p1419 :rule scope :premises (@p1218))
% 201.76/202.09  (step-pop @p1420 :rule scope :premises (@p1419))
% 201.76/202.09  (step-pop @p1421 :rule scope :premises (@p1420))
% 201.76/202.09  (step-pop @p1422 :rule scope :premises (@p1421))
% 201.76/202.09  (step @p1219 :rule process_scope :premises (@p1422) :args (@t607))
% 201.76/202.09  (step @p1224 :rule implies_elim :premises (@p1219))
% 201.76/202.09  (step @p1225 :rule cnf_and_neg :args (@t611))
% 201.76/202.09  (step @p1226 :rule resolution :premises (@p1225 @p1224) :args (true @t611))
% 201.76/202.09  (step @p1227 :rule reordering :premises (@p1226) :args ((or @t397 @t396 @t607 (not @t278) (not @t610))))
% 201.76/202.09  (step @p1228 false :rule chain_m_resolution :premises (@p1227 @p1211 @p1210 @p82 @p54 @p49) :args (false (@list false true false false false) (@list @t610 @t607 @t278 @t383 @t232)))
% 201.76/202.09  )
% 201.76/202.09  % SZS output end Proof
% 201.76/202.09  % cvc5 exiting
%------------------------------------------------------------------------------