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cvc5---1.3.4.THM-Prf.s

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%------------------------------------------------------------------------------
% File     : cvc5---1.3.4
% Problem  : ALG017^7 : TPTP v9.2.1. Released v5.5.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM

% Computer : n027.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Wed Jun  3 08:04:56 AM UTC 2026

% Result   : Theorem 171.73s 172.07s
% Output   : Proof 171.73s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : ALG017^7 : TPTP v9.2.1. Released v5.5.0.
% 0.11/0.13  % Command  : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.17/0.34  % Computer : n027.cluster.edu
% 0.17/0.34  % Model    : x86_64 x86_64
% 0.17/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.34  % Memory   : 8042.1875MB
% 0.17/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.17/0.34  % CPULimit : 300
% 0.17/0.34  % WCLimit  : 300
% 0.17/0.34  % DateTime : Wed Jun  3 01:36:51 EDT 2026
% 0.17/0.34  % CPUTime  : 
% 0.37/0.56  %----Proving TH0
% 171.73/172.07  --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 90s...
% 171.73/172.07  --- 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...
% 171.73/172.07  --- 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...
% 171.73/172.07  --- Run --ho-elim --full-saturate-quant at 18s...
% 171.73/172.07  --- Run --ho-elim --no-e-matching --full-saturate-quant at 12s...
% 171.73/172.07  % SZS status Theorem
% 171.73/172.07  % SZS output start Proof
% 171.73/172.07  (
% 171.73/172.07  (declare-sort tptp.mu 0)
% 171.73/172.07  (declare-sort $$unsorted 0)
% 171.73/172.07  (declare-const tptp.exists_in_world (-> tptp.mu $$unsorted Bool))
% 171.73/172.07  (declare-const tptp.rel_s4 (-> $$unsorted $$unsorted Bool))
% 171.73/172.07  (declare-const tptp.e0 tptp.mu)
% 171.73/172.07  (declare-const tptp.op (-> tptp.mu tptp.mu tptp.mu))
% 171.73/172.07  (declare-const tptp.e2 tptp.mu)
% 171.73/172.07  (declare-const tptp.e3 tptp.mu)
% 171.73/172.07  (declare-const tptp.inv (-> tptp.mu tptp.mu))
% 171.73/172.07  (declare-const tptp.unit tptp.mu)
% 171.73/172.07  (declare-const tptp.qmltpeq (-> tptp.mu tptp.mu $$unsorted Bool))
% 171.73/172.07  (declare-const tptp.e1 tptp.mu)
% 171.73/172.07  (declare-const tptp.mfalse (-> $$unsorted Bool))
% 171.73/172.07  (define tptp.meq_prop () (let ((_let_1 (@var "W" $$unsorted))) (let ((_let_2 (@var "Y" (-> $$unsorted Bool)))) (let ((_let_3 (@var "X" (-> $$unsorted Bool)))) (lambda (@list _let_3 _let_2 _let_1) (= (_ _let_3 _let_1) (_ _let_2 _let_1)))))))
% 171.73/172.07  (define tptp.mnot () (let ((_let_1 (@var "W" $$unsorted))) (let ((_let_2 (@var "Phi" (-> $$unsorted Bool)))) (lambda (@list _let_2 _let_1) (not (_ _let_2 _let_1))))))
% 171.73/172.07  (define tptp.mor () (let ((_let_1 (@var "W" $$unsorted))) (let ((_let_2 (@var "Psi" (-> $$unsorted Bool)))) (let ((_let_3 (@var "Phi" (-> $$unsorted Bool)))) (lambda (@list _let_3 _let_2 _let_1) (or (_ _let_3 _let_1) (_ _let_2 _let_1)))))))
% 171.73/172.07  (define tptp.mbox () (let ((_let_1 (@var "V" $$unsorted))) (let ((_let_2 (@var "Phi" (-> $$unsorted Bool)))) (let ((_let_3 (@var "W" $$unsorted))) (let ((_let_4 (@var "R" (-> $$unsorted $$unsorted Bool)))) (lambda (@list _let_4 _let_2 _let_3) (forall (@list _let_1) (or (not (_ (_ _let_4 _let_3) _let_1)) (_ _let_2 _let_1)))))))))
% 171.73/172.07  (define tptp.mforall_prop () (let ((_let_1 (@var "W" $$unsorted))) (let ((_let_2 (@var "P" (-> $$unsorted Bool)))) (let ((_let_3 (@var "Phi" (-> (-> $$unsorted Bool) $$unsorted Bool)))) (lambda (@list _let_3 _let_1) (forall (@list _let_2) (_ (_ _let_3 _let_2) _let_1)))))))
% 171.73/172.07  (define tptp.mtrue () (lambda (@list (@var "W" $$unsorted)) true))
% 171.73/172.07  (define tptp.mand () (let ((_let_1 (@var "__flatten_var_0" $$unsorted))) (let ((_let_2 (@var "Psi" (-> $$unsorted Bool)))) (let ((_let_3 (@var "Phi" (-> $$unsorted Bool)))) (lambda (@list _let_3 _let_2 _let_1) (_ (_ tptp.mnot (_ (_ tptp.mor (_ tptp.mnot _let_3)) (_ tptp.mnot _let_2))) _let_1))))))
% 171.73/172.07  (define tptp.mimplies () (let ((_let_1 (@var "__flatten_var_0" $$unsorted))) (let ((_let_2 (@var "Psi" (-> $$unsorted Bool)))) (let ((_let_3 (@var "Phi" (-> $$unsorted Bool)))) (lambda (@list _let_3 _let_2 _let_1) (_ (_ (_ tptp.mor (_ tptp.mnot _let_3)) _let_2) _let_1))))))
% 171.73/172.07  (define tptp.mimplied () (let ((_let_1 (@var "__flatten_var_0" $$unsorted))) (let ((_let_2 (@var "Phi" (-> $$unsorted Bool)))) (let ((_let_3 (@var "Psi" (-> $$unsorted Bool)))) (lambda (@list _let_2 _let_3 _let_1) (_ (_ (_ tptp.mor (_ tptp.mnot _let_3)) _let_2) _let_1))))))
% 171.73/172.07  (define tptp.mequiv () (let ((_let_1 (@var "__flatten_var_0" $$unsorted))) (let ((_let_2 (@var "Phi" (-> $$unsorted Bool)))) (let ((_let_3 (@var "Psi" (-> $$unsorted Bool)))) (lambda (@list _let_2 _let_3 _let_1) (_ (_ (_ tptp.mand (_ (_ tptp.mimplies _let_2) _let_3)) (_ (_ tptp.mimplies _let_3) _let_2)) _let_1))))))
% 171.73/172.07  (define tptp.mxor () (let ((_let_1 (@var "__flatten_var_0" $$unsorted))) (let ((_let_2 (@var "Psi" (-> $$unsorted Bool)))) (let ((_let_3 (@var "Phi" (-> $$unsorted Bool)))) (lambda (@list _let_3 _let_2 _let_1) (_ (_ tptp.mnot (_ (_ tptp.mequiv _let_3) _let_2)) _let_1))))))
% 171.73/172.07  (define tptp.mdia () (let ((_let_1 (@var "__flatten_var_0" $$unsorted))) (let ((_let_2 (@var "Phi" (-> $$unsorted Bool)))) (let ((_let_3 (@var "R" (-> $$unsorted $$unsorted Bool)))) (lambda (@list _let_3 _let_2 _let_1) (_ (_ tptp.mnot (_ (_ tptp.mbox _let_3) (_ tptp.mnot _let_2))) _let_1))))))
% 171.73/172.07  (define tptp.mforall_ind () (let ((_let_1 (@var "W" $$unsorted))) (let ((_let_2 (@var "X" tptp.mu))) (let ((_let_3 (@var "Phi" (-> tptp.mu $$unsorted Bool)))) (lambda (@list _let_3 _let_1) (forall (@list _let_2) (=> (_ (_ tptp.exists_in_world _let_2) _let_1) (_ (_ _let_3 _let_2) _let_1))))))))
% 171.73/172.07  (define tptp.mexists_ind () (let ((_let_1 (@var "__flatten_var_0" $$unsorted))) (let ((_let_2 (@var "X" tptp.mu))) (let ((_let_3 (@var "Phi" (-> tptp.mu $$unsorted Bool)))) (lambda (@list _let_3 _let_1) (_ (_ tptp.mnot (_ tptp.mforall_ind (lambda (@list _let_2 _let_1) (_ (_ tptp.mnot (_ _let_3 _let_2)) _let_1)))) _let_1))))))
% 171.73/172.07  (define tptp.mexists_prop () (let ((_let_1 (@var "__flatten_var_0" $$unsorted))) (let ((_let_2 (@var "P" (-> $$unsorted Bool)))) (let ((_let_3 (@var "Phi" (-> (-> $$unsorted Bool) $$unsorted Bool)))) (lambda (@list _let_3 _let_1) (_ (_ tptp.mnot (_ tptp.mforall_prop (lambda (@list _let_2 _let_1) (_ (_ tptp.mnot (_ _let_3 _let_2)) _let_1)))) _let_1))))))
% 171.73/172.07  (define tptp.mreflexive () (let ((_let_1 (@var "S" $$unsorted))) (let ((_let_2 (@var "R" (-> $$unsorted $$unsorted Bool)))) (lambda (@list _let_2) (forall (@list _let_1) (_ (_ _let_2 _let_1) _let_1))))))
% 171.73/172.07  (define tptp.msymmetric () (let ((_let_1 (@var "S" $$unsorted))) (let ((_let_2 (@var "T" $$unsorted))) (let ((_let_3 (@var "R" (-> $$unsorted $$unsorted Bool)))) (lambda (@list _let_3) (forall (@list _let_1 _let_2) (=> (_ (_ _let_3 _let_1) _let_2) (_ (_ _let_3 _let_2) _let_1))))))))
% 171.73/172.07  (define tptp.mserial () (let ((_let_1 (@var "T" $$unsorted))) (let ((_let_2 (@var "S" $$unsorted))) (let ((_let_3 (@var "R" (-> $$unsorted $$unsorted Bool)))) (lambda (@list _let_3) (forall (@list _let_2) (exists (@list _let_1) (_ (_ _let_3 _let_2) _let_1))))))))
% 171.73/172.07  (define tptp.mtransitive () (let ((_let_1 (@var "U" $$unsorted))) (let ((_let_2 (@var "S" $$unsorted))) (let ((_let_3 (@var "R" (-> $$unsorted $$unsorted Bool)))) (let ((_let_4 (_ _let_3 _let_2))) (let ((_let_5 (@var "T" $$unsorted))) (lambda (@list _let_3) (forall (@list _let_2 _let_5 _let_1) (=> (and (_ _let_4 _let_5) (_ (_ _let_3 _let_5) _let_1)) (_ _let_4 _let_1))))))))))
% 171.73/172.07  (define tptp.meuclidean () (let ((_let_1 (@var "U" $$unsorted))) (let ((_let_2 (@var "T" $$unsorted))) (let ((_let_3 (@var "R" (-> $$unsorted $$unsorted Bool)))) (let ((_let_4 (@var "S" $$unsorted))) (let ((_let_5 (_ _let_3 _let_4))) (lambda (@list _let_3) (forall (@list _let_4 _let_2 _let_1) (=> (and (_ _let_5 _let_2) (_ _let_5 _let_1)) (_ (_ _let_3 _let_2) _let_1))))))))))
% 171.73/172.07  (define tptp.mpartially_functional () (let ((_let_1 (@var "U" $$unsorted))) (let ((_let_2 (@var "T" $$unsorted))) (let ((_let_3 (@var "S" $$unsorted))) (let ((_let_4 (@var "R" (-> $$unsorted $$unsorted Bool)))) (let ((_let_5 (_ _let_4 _let_3))) (lambda (@list _let_4) (forall (@list _let_3 _let_2 _let_1) (=> (and (_ _let_5 _let_2) (_ _let_5 _let_1)) (= _let_2 _let_1))))))))))
% 171.73/172.07  (define tptp.mfunctional () (let ((_let_1 (@var "U" $$unsorted))) (let ((_let_2 (@var "T" $$unsorted))) (let ((_let_3 (@var "S" $$unsorted))) (let ((_let_4 (@var "R" (-> $$unsorted $$unsorted Bool)))) (let ((_let_5 (_ _let_4 _let_3))) (lambda (@list _let_4) (forall (@list _let_3) (exists (@list _let_2) (and (_ _let_5 _let_2) (forall (@list _let_1) (=> (_ _let_5 _let_1) (= _let_2 _let_1)))))))))))))
% 171.73/172.07  (define tptp.mweakly_dense () (let ((_let_1 (@var "T" $$unsorted))) (let ((_let_2 (@var "U" $$unsorted))) (let ((_let_3 (@var "R" (-> $$unsorted $$unsorted Bool)))) (let ((_let_4 (@var "S" $$unsorted))) (let ((_let_5 (_ _let_3 _let_4))) (lambda (@list _let_3) (forall (@list _let_4 _let_1 _let_2) (=> (_ _let_5 _let_1) (exists (@list _let_2) (and (_ _let_5 _let_2) (_ (_ _let_3 _let_2) _let_1))))))))))))
% 171.73/172.07  (define tptp.mweakly_connected () (let ((_let_1 (@var "T" $$unsorted))) (let ((_let_2 (@var "U" $$unsorted))) (let ((_let_3 (@var "R" (-> $$unsorted $$unsorted Bool)))) (let ((_let_4 (@var "S" $$unsorted))) (let ((_let_5 (_ _let_3 _let_4))) (lambda (@list _let_3) (forall (@list _let_4 _let_1 _let_2) (=> (and (_ _let_5 _let_1) (_ _let_5 _let_2)) (or (_ (_ _let_3 _let_1) _let_2) (= _let_1 _let_2) (_ (_ _let_3 _let_2) _let_1)))))))))))
% 171.73/172.07  (define tptp.mweakly_directed () (let ((_let_1 (@var "V" $$unsorted))) (let ((_let_2 (@var "U" $$unsorted))) (let ((_let_3 (@var "R" (-> $$unsorted $$unsorted Bool)))) (let ((_let_4 (@var "T" $$unsorted))) (let ((_let_5 (@var "S" $$unsorted))) (let ((_let_6 (_ _let_3 _let_5))) (lambda (@list _let_3) (forall (@list _let_5 _let_4 _let_2) (=> (and (_ _let_6 _let_4) (_ _let_6 _let_2)) (exists (@list _let_1) (and (_ (_ _let_3 _let_4) _let_1) (_ (_ _let_3 _let_2) _let_1)))))))))))))
% 171.73/172.07  (define tptp.mvalid () (let ((_let_1 (@var "W" $$unsorted))) (let ((_let_2 (@var "Phi" (-> $$unsorted Bool)))) (lambda (@list _let_2) (forall (@list _let_1) (_ _let_2 _let_1))))))
% 171.73/172.07  (define tptp.msatisfiable () (let ((_let_1 (@var "W" $$unsorted))) (let ((_let_2 (@var "Phi" (-> $$unsorted Bool)))) (lambda (@list _let_2) (exists (@list _let_1) (_ _let_2 _let_1))))))
% 171.73/172.07  (define tptp.mcountersatisfiable () (let ((_let_1 (@var "W" $$unsorted))) (let ((_let_2 (@var "Phi" (-> $$unsorted Bool)))) (lambda (@list _let_2) (exists (@list _let_1) (not (_ _let_2 _let_1)))))))
% 171.73/172.07  (define tptp.minvalid () (let ((_let_1 (@var "W" $$unsorted))) (let ((_let_2 (@var "Phi" (-> $$unsorted Bool)))) (lambda (@list _let_2) (forall (@list _let_1) (not (_ _let_2 _let_1)))))))
% 171.73/172.07  (define tptp.mbox_s4 () (let ((_let_1 (@var "V" $$unsorted))) (let ((_let_2 (@var "Phi" (-> $$unsorted Bool)))) (let ((_let_3 (@var "W" $$unsorted))) (lambda (@list _let_2 _let_3) (forall (@list _let_1) (or (not (_ (_ tptp.rel_s4 _let_3) _let_1)) (_ _let_2 _let_1))))))))
% 171.73/172.07  (define tptp.mdia_s4 () (let ((_let_1 (@var "__flatten_var_0" $$unsorted))) (let ((_let_2 (@var "Phi" (-> $$unsorted Bool)))) (lambda (@list _let_2 _let_1) (_ (_ tptp.mnot (_ tptp.mbox_s4 (_ tptp.mnot _let_2))) _let_1)))))
% 171.73/172.07  (define @t1 () (@var "V" $$unsorted))
% 171.73/172.07  (define @t2 () (@var "X" tptp.mu))
% 171.73/172.07  (define @t3 () (_ tptp.exists_in_world @t2))
% 171.73/172.07  (define @t4 () (_ @t3 @t1))
% 171.73/172.07  (define @t5 () (@list @t2))
% 171.73/172.07  (define @t6 () (@list @t1))
% 171.73/172.07  (define @t7 () (@var "W" $$unsorted))
% 171.73/172.07  (define @t8 () (_ @t3 @t7))
% 171.73/172.07  (define @t9 () (@var "V1" tptp.mu))
% 171.73/172.07  (define @t10 () (@var "V2" tptp.mu))
% 171.73/172.07  (define @t11 () (@var "__flatten_var_0" $$unsorted))
% 171.73/172.07  (define @t12 () (_ tptp.qmltpeq @t2))
% 171.73/172.07  (define @t13 () (@list @t2 @t11))
% 171.73/172.07  (define @t14 () (@var "Y" tptp.mu))
% 171.73/172.07  (define @t15 () (_ tptp.qmltpeq @t14))
% 171.73/172.07  (define @t16 () (_ tptp.mbox_s4 (_ @t12 @t14)))
% 171.73/172.07  (define @t17 () (@list @t14 @t11))
% 171.73/172.07  (define @t18 () (@var "Z" tptp.mu))
% 171.73/172.07  (define @t19 () (@var "B" tptp.mu))
% 171.73/172.07  (define @t20 () (@var "A" tptp.mu))
% 171.73/172.07  (define @t21 () (_ tptp.mimplies (_ tptp.mbox_s4 (_ (_ tptp.qmltpeq @t20) @t19))))
% 171.73/172.07  (define @t22 () (@list @t19 @t11))
% 171.73/172.07  (define @t23 () (@list @t20 @t11))
% 171.73/172.07  (define @t24 () (@var "C" tptp.mu))
% 171.73/172.07  (define @t25 () (@list @t24 @t11))
% 171.73/172.07  (define @t26 () (_ tptp.op @t24))
% 171.73/172.07  (define @t27 () (_ tptp.op tptp.e3))
% 171.73/172.07  (define @t28 () (_ @t27 tptp.e3))
% 171.73/172.07  (define @t29 () (_ tptp.qmltpeq @t28))
% 171.73/172.07  (define @t30 () (_ @t29 tptp.e3))
% 171.73/172.07  (define @t31 () (_ tptp.mbox_s4 @t30))
% 171.73/172.07  (define @t32 () (_ @t29 tptp.e2))
% 171.73/172.07  (define @t33 () (_ tptp.mbox_s4 @t32))
% 171.73/172.07  (define @t34 () (_ @t29 tptp.e1))
% 171.73/172.07  (define @t35 () (_ tptp.mbox_s4 @t34))
% 171.73/172.07  (define @t36 () (_ @t29 tptp.e0))
% 171.73/172.07  (define @t37 () (_ tptp.mbox_s4 @t36))
% 171.73/172.07  (define @t38 () (_ @t27 tptp.e2))
% 171.73/172.07  (define @t39 () (_ tptp.qmltpeq @t38))
% 171.73/172.07  (define @t40 () (_ @t27 tptp.e1))
% 171.73/172.07  (define @t41 () (_ tptp.qmltpeq @t40))
% 171.73/172.07  (define @t42 () (_ @t27 tptp.e0))
% 171.73/172.07  (define @t43 () (_ tptp.qmltpeq @t42))
% 171.73/172.07  (define @t44 () (_ tptp.op tptp.e2))
% 171.73/172.07  (define @t45 () (_ @t44 tptp.e3))
% 171.73/172.07  (define @t46 () (_ tptp.qmltpeq @t45))
% 171.73/172.07  (define @t47 () (_ @t44 tptp.e2))
% 171.73/172.07  (define @t48 () (_ tptp.qmltpeq @t47))
% 171.73/172.07  (define @t49 () (_ @t48 tptp.e3))
% 171.73/172.07  (define @t50 () (_ tptp.mbox_s4 @t49))
% 171.73/172.07  (define @t51 () (_ @t48 tptp.e2))
% 171.73/172.07  (define @t52 () (_ tptp.mbox_s4 @t51))
% 171.73/172.07  (define @t53 () (_ @t48 tptp.e1))
% 171.73/172.07  (define @t54 () (_ tptp.mbox_s4 @t53))
% 171.73/172.07  (define @t55 () (_ @t48 tptp.e0))
% 171.73/172.07  (define @t56 () (_ tptp.mbox_s4 @t55))
% 171.73/172.07  (define @t57 () (_ @t44 tptp.e1))
% 171.73/172.07  (define @t58 () (_ tptp.qmltpeq @t57))
% 171.73/172.07  (define @t59 () (_ @t44 tptp.e0))
% 171.73/172.07  (define @t60 () (_ tptp.qmltpeq @t59))
% 171.73/172.07  (define @t61 () (_ tptp.op tptp.e1))
% 171.73/172.07  (define @t62 () (_ @t61 tptp.e3))
% 171.73/172.07  (define @t63 () (_ tptp.qmltpeq @t62))
% 171.73/172.07  (define @t64 () (_ @t61 tptp.e2))
% 171.73/172.07  (define @t65 () (_ tptp.qmltpeq @t64))
% 171.73/172.07  (define @t66 () (_ @t61 tptp.e1))
% 171.73/172.07  (define @t67 () (_ tptp.qmltpeq @t66))
% 171.73/172.07  (define @t68 () (_ @t67 tptp.e3))
% 171.73/172.07  (define @t69 () (_ tptp.mbox_s4 @t68))
% 171.73/172.07  (define @t70 () (_ @t67 tptp.e2))
% 171.73/172.07  (define @t71 () (_ tptp.mbox_s4 @t70))
% 171.73/172.07  (define @t72 () (_ @t67 tptp.e1))
% 171.73/172.07  (define @t73 () (_ tptp.mbox_s4 @t72))
% 171.73/172.07  (define @t74 () (_ @t67 tptp.e0))
% 171.73/172.07  (define @t75 () (_ tptp.mbox_s4 @t74))
% 171.73/172.07  (define @t76 () (_ @t61 tptp.e0))
% 171.73/172.07  (define @t77 () (_ tptp.qmltpeq @t76))
% 171.73/172.07  (define @t78 () (_ tptp.op tptp.e0))
% 171.73/172.07  (define @t79 () (_ @t78 tptp.e3))
% 171.73/172.07  (define @t80 () (_ tptp.qmltpeq @t79))
% 171.73/172.07  (define @t81 () (_ @t78 tptp.e2))
% 171.73/172.07  (define @t82 () (_ tptp.qmltpeq @t81))
% 171.73/172.07  (define @t83 () (_ @t78 tptp.e1))
% 171.73/172.07  (define @t84 () (_ tptp.qmltpeq @t83))
% 171.73/172.07  (define @t85 () (_ @t78 tptp.e0))
% 171.73/172.07  (define @t86 () (_ tptp.qmltpeq @t85))
% 171.73/172.07  (define @t87 () (_ @t86 tptp.e3))
% 171.73/172.07  (define @t88 () (_ tptp.mbox_s4 @t87))
% 171.73/172.07  (define @t89 () (_ @t86 tptp.e2))
% 171.73/172.07  (define @t90 () (_ tptp.mbox_s4 @t89))
% 171.73/172.07  (define @t91 () (_ @t86 tptp.e1))
% 171.73/172.07  (define @t92 () (_ tptp.mbox_s4 @t91))
% 171.73/172.07  (define @t93 () (_ @t86 tptp.e0))
% 171.73/172.07  (define @t94 () (_ tptp.mbox_s4 @t93))
% 171.73/172.07  (define @t95 () (_ tptp.op @t28))
% 171.73/172.07  (define @t96 () (_ tptp.op @t38))
% 171.73/172.07  (define @t97 () (_ tptp.op @t40))
% 171.73/172.07  (define @t98 () (_ tptp.op @t42))
% 171.73/172.07  (define @t99 () (_ tptp.op @t45))
% 171.73/172.07  (define @t100 () (_ tptp.op @t47))
% 171.73/172.07  (define @t101 () (_ tptp.op @t57))
% 171.73/172.07  (define @t102 () (_ tptp.op @t59))
% 171.73/172.07  (define @t103 () (_ tptp.op @t62))
% 171.73/172.07  (define @t104 () (_ tptp.op @t64))
% 171.73/172.07  (define @t105 () (_ tptp.op @t66))
% 171.73/172.07  (define @t106 () (_ tptp.op @t76))
% 171.73/172.07  (define @t107 () (_ tptp.op @t79))
% 171.73/172.07  (define @t108 () (_ tptp.op @t81))
% 171.73/172.07  (define @t109 () (_ tptp.op @t83))
% 171.73/172.07  (define @t110 () (_ tptp.op @t85))
% 171.73/172.07  (define @t111 () (_ tptp.qmltpeq tptp.unit))
% 171.73/172.07  (define @t112 () (_ tptp.op tptp.unit))
% 171.73/172.07  (define @t113 () (_ tptp.inv tptp.e3))
% 171.73/172.07  (define @t114 () (_ tptp.qmltpeq @t113))
% 171.73/172.07  (define @t115 () (_ tptp.mbox_s4 (_ @t114 tptp.e3)))
% 171.73/172.08  (define @t116 () (_ tptp.mbox_s4 (_ @t114 tptp.e2)))
% 171.73/172.08  (define @t117 () (_ tptp.mbox_s4 (_ @t114 tptp.e1)))
% 171.73/172.08  (define @t118 () (_ tptp.mbox_s4 (_ @t114 tptp.e0)))
% 171.73/172.08  (define @t119 () (_ tptp.inv tptp.e2))
% 171.73/172.08  (define @t120 () (_ tptp.qmltpeq @t119))
% 171.73/172.08  (define @t121 () (_ tptp.mbox_s4 (_ @t120 tptp.e3)))
% 171.73/172.08  (define @t122 () (_ tptp.mbox_s4 (_ @t120 tptp.e2)))
% 171.73/172.08  (define @t123 () (_ tptp.mbox_s4 (_ @t120 tptp.e1)))
% 171.73/172.08  (define @t124 () (_ tptp.mbox_s4 (_ @t120 tptp.e0)))
% 171.73/172.08  (define @t125 () (_ tptp.inv tptp.e1))
% 171.73/172.08  (define @t126 () (_ tptp.qmltpeq @t125))
% 171.73/172.08  (define @t127 () (_ tptp.mbox_s4 (_ @t126 tptp.e3)))
% 171.73/172.08  (define @t128 () (_ tptp.mbox_s4 (_ @t126 tptp.e2)))
% 171.73/172.08  (define @t129 () (_ tptp.mbox_s4 (_ @t126 tptp.e1)))
% 171.73/172.08  (define @t130 () (_ tptp.mbox_s4 (_ @t126 tptp.e0)))
% 171.73/172.08  (define @t131 () (_ tptp.inv tptp.e0))
% 171.73/172.08  (define @t132 () (_ tptp.qmltpeq @t131))
% 171.73/172.08  (define @t133 () (_ tptp.mbox_s4 (_ @t132 tptp.e3)))
% 171.73/172.08  (define @t134 () (_ tptp.mbox_s4 (_ @t132 tptp.e2)))
% 171.73/172.08  (define @t135 () (_ tptp.mbox_s4 (_ @t132 tptp.e1)))
% 171.73/172.08  (define @t136 () (_ tptp.mbox_s4 (_ @t132 tptp.e0)))
% 171.73/172.08  (define @t137 () (_ tptp.qmltpeq tptp.e1))
% 171.73/172.08  (define @t138 () (_ tptp.qmltpeq tptp.e0))
% 171.73/172.08  (define @t139 () (_ (_ tptp.mor (_ (_ tptp.mand @t94) (_ (_ tptp.mand @t75) (_ (_ tptp.mand @t56) @t37)))) (_ (_ tptp.mor (_ (_ tptp.mand @t92) (_ (_ tptp.mand @t73) (_ (_ tptp.mand @t54) @t35)))) (_ (_ tptp.mor (_ (_ tptp.mand @t90) (_ (_ tptp.mand @t71) (_ (_ tptp.mand @t52) @t33)))) (_ (_ tptp.mand @t88) (_ (_ tptp.mand @t69) (_ (_ tptp.mand @t50) @t31)))))))
% 171.73/172.08  (define @t140 () (not (_ tptp.mvalid (_ tptp.mbox_s4 (_ tptp.mnot (_ (_ tptp.mand @t139) (_ tptp.mbox_s4 (_ tptp.mnot @t139))))))))
% 171.73/172.08  (define @t141 () (@var "Y" (-> $$unsorted Bool)))
% 171.73/172.08  (define @t142 () (@var "X" (-> $$unsorted Bool)))
% 171.73/172.08  (define @t143 () (lambda (@list @t142 @t141 @t7) (= (_ @t142 @t7) (_ @t141 @t7))))
% 171.73/172.08  (define @t144 () (@var "Phi" (-> $$unsorted Bool)))
% 171.73/172.08  (define @t145 () (_ @t144 @t7))
% 171.73/172.08  (define @t146 () (not @t145))
% 171.73/172.08  (define @t147 () (@list @t144 @t7))
% 171.73/172.08  (define @t148 () (lambda @t147 @t146))
% 171.73/172.08  (define @t149 () (@var "Psi" (-> $$unsorted Bool)))
% 171.73/172.08  (define @t150 () (_ @t149 @t7))
% 171.73/172.08  (define @t151 () (lambda (@list @t144 @t149 @t7) (or @t145 @t150)))
% 171.73/172.08  (define @t152 () (_ @t144 @t1))
% 171.73/172.08  (define @t153 () (@var "R" (-> $$unsorted $$unsorted Bool)))
% 171.73/172.08  (define @t154 () (lambda (@list @t153 @t144 @t7) (forall @t6 (or (not (_ (_ @t153 @t7) @t1)) @t152))))
% 171.73/172.08  (define @t155 () (@var "P" (-> $$unsorted Bool)))
% 171.73/172.08  (define @t156 () (@var "Phi" (-> (-> $$unsorted Bool) $$unsorted Bool)))
% 171.73/172.08  (define @t157 () (_ @t156 @t155))
% 171.73/172.08  (define @t158 () (lambda (@list @t156 @t7) (forall (@list @t155) (_ @t157 @t7))))
% 171.73/172.08  (define @t159 () (@list @t7))
% 171.73/172.08  (define @t160 () (lambda @t159 true))
% 171.73/172.08  (define @t161 () (_ tptp.mnot @t149))
% 171.73/172.08  (define @t162 () (_ tptp.mnot @t144))
% 171.73/172.08  (define @t163 () (_ tptp.mor @t162))
% 171.73/172.08  (define @t164 () (@list @t144 @t149 @t11))
% 171.73/172.08  (define @t165 () (lambda @t164 (_ (_ tptp.mnot (_ @t163 @t161)) @t11)))
% 171.73/172.08  (define @t166 () (lambda @t164 (_ (_ @t163 @t149) @t11)))
% 171.73/172.08  (define @t167 () (lambda @t164 (_ (_ (_ tptp.mor @t161) @t144) @t11)))
% 171.73/172.08  (define @t168 () (lambda @t164 (_ (_ (_ tptp.mand (_ (_ tptp.mimplies @t144) @t149)) (_ (_ tptp.mimplies @t149) @t144)) @t11)))
% 171.73/172.08  (define @t169 () (lambda @t164 (_ (_ tptp.mnot (_ (_ tptp.mequiv @t144) @t149)) @t11)))
% 171.73/172.08  (define @t170 () (lambda (@list @t153 @t144 @t11) (_ (_ tptp.mnot (_ (_ tptp.mbox @t153) @t162)) @t11)))
% 171.73/172.08  (define @t171 () (@var "Phi" (-> tptp.mu $$unsorted Bool)))
% 171.73/172.08  (define @t172 () (_ @t171 @t2))
% 171.73/172.08  (define @t173 () (lambda (@list @t171 @t7) (forall @t5 (=> @t8 (_ @t172 @t7)))))
% 171.73/172.08  (define @t174 () (lambda (@list @t171 @t11) (_ (_ tptp.mnot (_ tptp.mforall_ind (lambda @t13 (_ (_ tptp.mnot @t172) @t11)))) @t11)))
% 171.73/172.08  (define @t175 () (lambda (@list @t156 @t11) (_ (_ tptp.mnot (_ tptp.mforall_prop (lambda (@list @t155 @t11) (_ (_ tptp.mnot @t157) @t11)))) @t11)))
% 171.73/172.08  (define @t176 () (@var "S" $$unsorted))
% 171.73/172.08  (define @t177 () (_ @t153 @t176))
% 171.73/172.08  (define @t178 () (_ @t177 @t176))
% 171.73/172.08  (define @t179 () (@list @t176))
% 171.73/172.08  (define @t180 () (forall @t179 @t178))
% 171.73/172.08  (define @t181 () (@list @t153))
% 171.73/172.08  (define @t182 () (lambda @t181 @t180))
% 171.73/172.08  (define @t183 () (@var "T" $$unsorted))
% 171.73/172.08  (define @t184 () (_ @t153 @t183))
% 171.73/172.08  (define @t185 () (_ @t177 @t183))
% 171.73/172.08  (define @t186 () (lambda @t181 (forall (@list @t176 @t183) (=> @t185 (_ @t184 @t176)))))
% 171.73/172.08  (define @t187 () (@list @t183))
% 171.73/172.08  (define @t188 () (lambda @t181 (forall @t179 (exists @t187 @t185))))
% 171.73/172.08  (define @t189 () (@var "U" $$unsorted))
% 171.73/172.08  (define @t190 () (_ @t177 @t189))
% 171.73/172.08  (define @t191 () (_ @t184 @t189))
% 171.73/172.08  (define @t192 () (@list @t176 @t183 @t189))
% 171.73/172.08  (define @t193 () (lambda @t181 (forall @t192 (=> (and @t185 @t191) @t190))))
% 171.73/172.08  (define @t194 () (and @t185 @t190))
% 171.73/172.08  (define @t195 () (lambda @t181 (forall @t192 (=> @t194 @t191))))
% 171.73/172.08  (define @t196 () (= @t183 @t189))
% 171.73/172.08  (define @t197 () (lambda @t181 (forall @t192 (=> @t194 @t196))))
% 171.73/172.08  (define @t198 () (@list @t189))
% 171.73/172.08  (define @t199 () (lambda @t181 (forall @t179 (exists @t187 (and @t185 (forall @t198 (=> @t190 @t196)))))))
% 171.73/172.08  (define @t200 () (_ @t153 @t189))
% 171.73/172.08  (define @t201 () (_ @t200 @t183))
% 171.73/172.08  (define @t202 () (lambda @t181 (forall @t192 (=> @t185 (exists @t198 (and @t190 @t201))))))
% 171.73/172.08  (define @t203 () (lambda @t181 (forall @t192 (=> @t194 (or @t191 @t196 @t201)))))
% 171.73/172.08  (define @t204 () (lambda @t181 (forall @t192 (=> @t194 (exists @t6 (and (_ @t184 @t1) (_ @t200 @t1)))))))
% 171.73/172.08  (define @t205 () (forall @t159 @t145))
% 171.73/172.08  (define @t206 () (@list @t144))
% 171.73/172.08  (define @t207 () (lambda @t206 @t205))
% 171.73/172.08  (define @t208 () (lambda @t206 (exists @t159 @t145)))
% 171.73/172.08  (define @t209 () (lambda @t206 (exists @t159 @t146)))
% 171.73/172.08  (define @t210 () (lambda @t206 (forall @t159 @t146)))
% 171.73/172.08  (define @t211 () (_ (_ tptp.rel_s4 @t7) @t1))
% 171.73/172.08  (define @t212 () (not @t211))
% 171.73/172.08  (define @t213 () (or @t212 @t152))
% 171.73/172.08  (define @t214 () (forall @t6 @t213))
% 171.73/172.08  (define @t215 () (lambda @t147 @t214))
% 171.73/172.08  (define @t216 () (lambda (@list @t144 @t11) (_ (_ tptp.mnot (_ tptp.mbox_s4 @t162)) @t11)))
% 171.73/172.08  (define @t217 () (@var "BOUND_VARIABLE_27365" $$unsorted))
% 171.73/172.08  (define @t218 () (@const 0 (@ho-elim-sort (-> tptp.mu tptp.mu tptp.mu))))
% 171.73/172.08  (define @t219 () (@const 1 (-> (@ho-elim-sort (-> tptp.mu tptp.mu tptp.mu)) tptp.mu (@ho-elim-sort (-> tptp.mu tptp.mu)))))
% 171.73/172.08  (define @t220 () (@const 2 (-> (@ho-elim-sort (-> tptp.mu tptp.mu)) tptp.mu tptp.mu)))
% 171.73/172.08  (define @t221 () (@const 3 (@ho-elim-sort (-> tptp.mu tptp.mu $$unsorted Bool))))
% 171.73/172.08  (define @t222 () (@const 4 (-> (@ho-elim-sort (-> tptp.mu tptp.mu $$unsorted Bool)) tptp.mu (@ho-elim-sort (-> tptp.mu $$unsorted Bool)))))
% 171.73/172.08  (define @t223 () (_ @t222 @t221 (_ @t220 (_ @t219 @t218 tptp.e3) tptp.e3)))
% 171.73/172.08  (define @t224 () (@const 5 (-> (@ho-elim-sort (-> tptp.mu $$unsorted Bool)) tptp.mu (@ho-elim-sort (-> $$unsorted Bool)))))
% 171.73/172.08  (define @t225 () (_ @t224 @t223 tptp.e3))
% 171.73/172.08  (define @t226 () (@const 6 (-> (@ho-elim-sort (-> $$unsorted Bool)) $$unsorted Bool)))
% 171.73/172.08  (define @t227 () (_ @t226 @t225 @t217))
% 171.73/172.08  (define @t228 () (@var "BOUND_VARIABLE_27644" $$unsorted))
% 171.73/172.08  (define @t229 () (@const 7 (@ho-elim-sort (-> $$unsorted $$unsorted Bool))))
% 171.73/172.08  (define @t230 () (@const 8 (-> (@ho-elim-sort (-> $$unsorted $$unsorted Bool)) $$unsorted (@ho-elim-sort (-> $$unsorted Bool)))))
% 171.73/172.08  (define @t231 () (_ @t230 @t229 @t228))
% 171.73/172.08  (define @t232 () (@list @t217))
% 171.73/172.08  (define @t233 () (@var "BOUND_VARIABLE_27374" $$unsorted))
% 171.73/172.08  (define @t234 () (_ @t222 @t221 (_ @t220 (_ @t219 @t218 tptp.e2) tptp.e2)))
% 171.73/172.08  (define @t235 () (_ @t224 @t234 tptp.e3))
% 171.73/172.08  (define @t236 () (_ @t226 @t235 @t233))
% 171.73/172.08  (define @t237 () (@list @t233))
% 171.73/172.08  (define @t238 () (@var "BOUND_VARIABLE_27383" $$unsorted))
% 171.73/172.08  (define @t239 () (_ @t222 @t221 (_ @t220 (_ @t219 @t218 tptp.e1) tptp.e1)))
% 171.73/172.08  (define @t240 () (_ @t224 @t239 tptp.e3))
% 171.73/172.08  (define @t241 () (_ @t226 @t240 @t238))
% 171.73/172.08  (define @t242 () (@list @t238))
% 171.73/172.08  (define @t243 () (@var "BOUND_VARIABLE_27392" $$unsorted))
% 171.73/172.08  (define @t244 () (_ @t222 @t221 (_ @t220 (_ @t219 @t218 tptp.e0) tptp.e0)))
% 171.73/172.08  (define @t245 () (_ @t224 @t244 tptp.e3))
% 171.73/172.08  (define @t246 () (_ @t226 @t245 @t243))
% 171.73/172.08  (define @t247 () (@list @t243))
% 171.73/172.08  (define @t248 () (@var "BOUND_VARIABLE_27403" $$unsorted))
% 171.73/172.08  (define @t249 () (_ @t224 @t223 tptp.e2))
% 171.73/172.08  (define @t250 () (_ @t226 @t249 @t248))
% 171.73/172.08  (define @t251 () (@list @t248))
% 171.73/172.08  (define @t252 () (@var "BOUND_VARIABLE_27412" $$unsorted))
% 171.73/172.08  (define @t253 () (_ @t224 @t234 tptp.e2))
% 171.73/172.08  (define @t254 () (_ @t226 @t253 @t252))
% 171.73/172.08  (define @t255 () (@list @t252))
% 171.73/172.08  (define @t256 () (@var "BOUND_VARIABLE_27421" $$unsorted))
% 171.73/172.08  (define @t257 () (_ @t224 @t239 tptp.e2))
% 171.73/172.08  (define @t258 () (_ @t226 @t257 @t256))
% 171.73/172.08  (define @t259 () (@list @t256))
% 171.73/172.08  (define @t260 () (@var "BOUND_VARIABLE_27430" $$unsorted))
% 171.73/172.08  (define @t261 () (_ @t224 @t244 tptp.e2))
% 171.73/172.08  (define @t262 () (_ @t226 @t261 @t260))
% 171.73/172.08  (define @t263 () (@list @t260))
% 171.73/172.08  (define @t264 () (@var "BOUND_VARIABLE_27441" $$unsorted))
% 171.73/172.08  (define @t265 () (_ @t224 @t223 tptp.e1))
% 171.73/172.08  (define @t266 () (_ @t226 @t265 @t264))
% 171.73/172.08  (define @t267 () (@list @t264))
% 171.73/172.08  (define @t268 () (@var "BOUND_VARIABLE_27450" $$unsorted))
% 171.73/172.08  (define @t269 () (_ @t224 @t234 tptp.e1))
% 171.73/172.08  (define @t270 () (_ @t226 @t269 @t268))
% 171.73/172.08  (define @t271 () (@list @t268))
% 171.73/172.08  (define @t272 () (@var "BOUND_VARIABLE_27459" $$unsorted))
% 171.73/172.08  (define @t273 () (_ @t224 @t239 tptp.e1))
% 171.73/172.08  (define @t274 () (_ @t226 @t273 @t272))
% 171.73/172.08  (define @t275 () (@list @t272))
% 171.73/172.08  (define @t276 () (@var "BOUND_VARIABLE_27468" $$unsorted))
% 171.73/172.08  (define @t277 () (_ @t224 @t244 tptp.e1))
% 171.73/172.08  (define @t278 () (_ @t226 @t277 @t276))
% 171.73/172.08  (define @t279 () (@list @t276))
% 171.73/172.08  (define @t280 () (@var "BOUND_VARIABLE_27479" $$unsorted))
% 171.73/172.08  (define @t281 () (_ @t224 @t223 tptp.e0))
% 171.73/172.08  (define @t282 () (_ @t226 @t281 @t280))
% 171.73/172.08  (define @t283 () (@list @t280))
% 171.73/172.08  (define @t284 () (@var "BOUND_VARIABLE_27488" $$unsorted))
% 171.73/172.08  (define @t285 () (_ @t224 @t234 tptp.e0))
% 171.73/172.08  (define @t286 () (_ @t226 @t285 @t284))
% 171.73/172.08  (define @t287 () (@list @t284))
% 171.73/172.08  (define @t288 () (@var "BOUND_VARIABLE_27497" $$unsorted))
% 171.73/172.08  (define @t289 () (_ @t224 @t239 tptp.e0))
% 171.73/172.08  (define @t290 () (_ @t226 @t289 @t288))
% 171.73/172.08  (define @t291 () (@list @t288))
% 171.73/172.08  (define @t292 () (@var "BOUND_VARIABLE_27506" $$unsorted))
% 171.73/172.08  (define @t293 () (_ @t224 @t244 tptp.e0))
% 171.73/172.08  (define @t294 () (_ @t226 @t293 @t292))
% 171.73/172.08  (define @t295 () (@list @t292))
% 171.73/172.08  (define @t296 () (and (or (not (forall @t295 (or (not (_ @t226 @t231 @t292)) @t294))) (not (forall @t291 (or (not (_ @t226 @t231 @t288)) @t290))) (not (forall @t287 (or (not (_ @t226 @t231 @t284)) @t286))) (not (forall @t283 (or (not (_ @t226 @t231 @t280)) @t282)))) (or (not (forall @t279 (or (not (_ @t226 @t231 @t276)) @t278))) (not (forall @t275 (or (not (_ @t226 @t231 @t272)) @t274))) (not (forall @t271 (or (not (_ @t226 @t231 @t268)) @t270))) (not (forall @t267 (or (not (_ @t226 @t231 @t264)) @t266)))) (or (not (forall @t263 (or (not (_ @t226 @t231 @t260)) @t262))) (not (forall @t259 (or (not (_ @t226 @t231 @t256)) @t258))) (not (forall @t255 (or (not (_ @t226 @t231 @t252)) @t254))) (not (forall @t251 (or (not (_ @t226 @t231 @t248)) @t250)))) (or (not (forall @t247 (or (not (_ @t226 @t231 @t243)) @t246))) (not (forall @t242 (or (not (_ @t226 @t231 @t238)) @t241))) (not (forall @t237 (or (not (_ @t226 @t231 @t233)) @t236))) (not (forall @t232 (or (not (_ @t226 @t231 @t217)) @t227))))))
% 171.73/172.08  (define @t297 () (_ @t230 @t229 @t1))
% 171.73/172.08  (define @t298 () (@list @t228))
% 171.73/172.08  (define @t299 () (@var "BOUND_VARIABLE_27737" $$unsorted))
% 171.73/172.08  (define @t300 () (_ @t226 @t225 @t299))
% 171.73/172.08  (define @t301 () (@list @t299))
% 171.73/172.08  (define @t302 () (@var "BOUND_VARIABLE_27746" $$unsorted))
% 171.73/172.08  (define @t303 () (_ @t226 @t235 @t302))
% 171.73/172.08  (define @t304 () (@list @t302))
% 171.73/172.08  (define @t305 () (@var "BOUND_VARIABLE_27755" $$unsorted))
% 171.73/172.08  (define @t306 () (_ @t226 @t240 @t305))
% 171.73/172.08  (define @t307 () (@list @t305))
% 171.73/172.08  (define @t308 () (@var "BOUND_VARIABLE_27764" $$unsorted))
% 171.73/172.08  (define @t309 () (_ @t226 @t245 @t308))
% 171.73/172.08  (define @t310 () (@list @t308))
% 171.73/172.08  (define @t311 () (@var "BOUND_VARIABLE_27775" $$unsorted))
% 171.73/172.08  (define @t312 () (_ @t226 @t249 @t311))
% 171.73/172.08  (define @t313 () (@list @t311))
% 171.73/172.08  (define @t314 () (@var "BOUND_VARIABLE_27784" $$unsorted))
% 171.73/172.08  (define @t315 () (_ @t226 @t253 @t314))
% 171.73/172.08  (define @t316 () (@list @t314))
% 171.73/172.08  (define @t317 () (@var "BOUND_VARIABLE_27793" $$unsorted))
% 171.73/172.08  (define @t318 () (_ @t226 @t257 @t317))
% 171.73/172.08  (define @t319 () (@list @t317))
% 171.73/172.08  (define @t320 () (@var "BOUND_VARIABLE_27802" $$unsorted))
% 171.73/172.08  (define @t321 () (_ @t226 @t261 @t320))
% 171.73/172.08  (define @t322 () (@list @t320))
% 171.73/172.08  (define @t323 () (@var "BOUND_VARIABLE_27813" $$unsorted))
% 171.73/172.08  (define @t324 () (_ @t226 @t265 @t323))
% 171.73/172.08  (define @t325 () (@list @t323))
% 171.73/172.08  (define @t326 () (@var "BOUND_VARIABLE_27822" $$unsorted))
% 171.73/172.08  (define @t327 () (_ @t226 @t269 @t326))
% 171.73/172.08  (define @t328 () (@list @t326))
% 171.73/172.08  (define @t329 () (@var "BOUND_VARIABLE_27831" $$unsorted))
% 171.73/172.08  (define @t330 () (_ @t226 @t273 @t329))
% 171.73/172.08  (define @t331 () (@list @t329))
% 171.73/172.08  (define @t332 () (@var "BOUND_VARIABLE_27840" $$unsorted))
% 171.73/172.08  (define @t333 () (_ @t226 @t277 @t332))
% 171.73/172.08  (define @t334 () (@list @t332))
% 171.73/172.08  (define @t335 () (@var "BOUND_VARIABLE_27851" $$unsorted))
% 171.73/172.08  (define @t336 () (_ @t226 @t281 @t335))
% 171.73/172.08  (define @t337 () (@list @t335))
% 171.73/172.08  (define @t338 () (@var "BOUND_VARIABLE_27860" $$unsorted))
% 171.73/172.08  (define @t339 () (_ @t226 @t285 @t338))
% 171.73/172.08  (define @t340 () (@list @t338))
% 171.73/172.08  (define @t341 () (@var "BOUND_VARIABLE_27869" $$unsorted))
% 171.73/172.08  (define @t342 () (_ @t226 @t289 @t341))
% 171.73/172.08  (define @t343 () (@list @t341))
% 171.73/172.08  (define @t344 () (@var "BOUND_VARIABLE_27878" $$unsorted))
% 171.73/172.08  (define @t345 () (_ @t226 @t293 @t344))
% 171.73/172.08  (define @t346 () (@list @t344))
% 171.73/172.08  (define @t347 () (@list @t7 @t1))
% 171.73/172.08  (define @t348 () (forall @t347 (or (not (_ @t226 (_ @t230 @t229 @t7) @t1)) (and (or (not (forall @t346 (or (not (_ @t226 @t297 @t344)) @t345))) (not (forall @t343 (or (not (_ @t226 @t297 @t341)) @t342))) (not (forall @t340 (or (not (_ @t226 @t297 @t338)) @t339))) (not (forall @t337 (or (not (_ @t226 @t297 @t335)) @t336)))) (or (not (forall @t334 (or (not (_ @t226 @t297 @t332)) @t333))) (not (forall @t331 (or (not (_ @t226 @t297 @t329)) @t330))) (not (forall @t328 (or (not (_ @t226 @t297 @t326)) @t327))) (not (forall @t325 (or (not (_ @t226 @t297 @t323)) @t324)))) (or (not (forall @t322 (or (not (_ @t226 @t297 @t320)) @t321))) (not (forall @t319 (or (not (_ @t226 @t297 @t317)) @t318))) (not (forall @t316 (or (not (_ @t226 @t297 @t314)) @t315))) (not (forall @t313 (or (not (_ @t226 @t297 @t311)) @t312)))) (or (not (forall @t310 (or (not (_ @t226 @t297 @t308)) @t309))) (not (forall @t307 (or (not (_ @t226 @t297 @t305)) @t306))) (not (forall @t304 (or (not (_ @t226 @t297 @t302)) @t303))) (not (forall @t301 (or (not (_ @t226 @t297 @t299)) @t300))))) (not (forall @t298 (or (not (_ @t226 @t297 @t228)) @t296))))))
% 171.73/172.08  (define @t349 () (tptp.op tptp.e3 tptp.e3))
% 171.73/172.08  (define @t350 () (tptp.qmltpeq @t349 tptp.e3 @t217))
% 171.73/172.08  (define @t351 () (tptp.op tptp.e2 tptp.e2))
% 171.73/172.08  (define @t352 () (tptp.qmltpeq @t351 tptp.e3 @t233))
% 171.73/172.08  (define @t353 () (tptp.op tptp.e1 tptp.e1))
% 171.73/172.08  (define @t354 () (tptp.qmltpeq @t353 tptp.e3 @t238))
% 171.73/172.08  (define @t355 () (tptp.op tptp.e0 tptp.e0))
% 171.73/172.08  (define @t356 () (tptp.qmltpeq @t355 tptp.e3 @t243))
% 171.73/172.08  (define @t357 () (tptp.qmltpeq @t349 tptp.e2 @t248))
% 171.73/172.08  (define @t358 () (tptp.qmltpeq @t351 tptp.e2 @t252))
% 171.73/172.08  (define @t359 () (tptp.qmltpeq @t353 tptp.e2 @t256))
% 171.73/172.08  (define @t360 () (tptp.qmltpeq @t355 tptp.e2 @t260))
% 171.73/172.08  (define @t361 () (tptp.qmltpeq @t349 tptp.e1 @t264))
% 171.73/172.08  (define @t362 () (tptp.qmltpeq @t351 tptp.e1 @t268))
% 171.73/172.08  (define @t363 () (tptp.qmltpeq @t353 tptp.e1 @t272))
% 171.73/172.08  (define @t364 () (tptp.qmltpeq @t355 tptp.e1 @t276))
% 171.73/172.08  (define @t365 () (tptp.qmltpeq @t349 tptp.e0 @t280))
% 171.73/172.08  (define @t366 () (tptp.qmltpeq @t351 tptp.e0 @t284))
% 171.73/172.08  (define @t367 () (tptp.qmltpeq @t353 tptp.e0 @t288))
% 171.73/172.08  (define @t368 () (tptp.qmltpeq @t355 tptp.e0 @t292))
% 171.73/172.08  (define @t369 () (and (or (not (forall @t295 (or (not (tptp.rel_s4 @t228 @t292)) @t368))) (not (forall @t291 (or (not (tptp.rel_s4 @t228 @t288)) @t367))) (not (forall @t287 (or (not (tptp.rel_s4 @t228 @t284)) @t366))) (not (forall @t283 (or (not (tptp.rel_s4 @t228 @t280)) @t365)))) (or (not (forall @t279 (or (not (tptp.rel_s4 @t228 @t276)) @t364))) (not (forall @t275 (or (not (tptp.rel_s4 @t228 @t272)) @t363))) (not (forall @t271 (or (not (tptp.rel_s4 @t228 @t268)) @t362))) (not (forall @t267 (or (not (tptp.rel_s4 @t228 @t264)) @t361)))) (or (not (forall @t263 (or (not (tptp.rel_s4 @t228 @t260)) @t360))) (not (forall @t259 (or (not (tptp.rel_s4 @t228 @t256)) @t359))) (not (forall @t255 (or (not (tptp.rel_s4 @t228 @t252)) @t358))) (not (forall @t251 (or (not (tptp.rel_s4 @t228 @t248)) @t357)))) (or (not (forall @t247 (or (not (tptp.rel_s4 @t228 @t243)) @t356))) (not (forall @t242 (or (not (tptp.rel_s4 @t228 @t238)) @t354))) (not (forall @t237 (or (not (tptp.rel_s4 @t228 @t233)) @t352))) (not (forall @t232 (or (not (tptp.rel_s4 @t228 @t217)) @t350))))))
% 171.73/172.08  (define @t370 () (not (forall @t298 (or (not (tptp.rel_s4 @t1 @t228)) @t369))))
% 171.73/172.08  (define @t371 () (tptp.qmltpeq @t349 tptp.e3 @t299))
% 171.73/172.08  (define @t372 () (tptp.qmltpeq @t351 tptp.e3 @t302))
% 171.73/172.08  (define @t373 () (tptp.qmltpeq @t353 tptp.e3 @t305))
% 171.73/172.08  (define @t374 () (tptp.qmltpeq @t355 tptp.e3 @t308))
% 171.73/172.08  (define @t375 () (or (not (forall @t310 (or (not (tptp.rel_s4 @t1 @t308)) @t374))) (not (forall @t307 (or (not (tptp.rel_s4 @t1 @t305)) @t373))) (not (forall @t304 (or (not (tptp.rel_s4 @t1 @t302)) @t372))) (not (forall @t301 (or (not (tptp.rel_s4 @t1 @t299)) @t371)))))
% 171.73/172.08  (define @t376 () (tptp.qmltpeq @t349 tptp.e2 @t311))
% 171.73/172.08  (define @t377 () (tptp.qmltpeq @t351 tptp.e2 @t314))
% 171.73/172.08  (define @t378 () (tptp.qmltpeq @t353 tptp.e2 @t317))
% 171.73/172.08  (define @t379 () (tptp.qmltpeq @t355 tptp.e2 @t320))
% 171.73/172.08  (define @t380 () (or (not (forall @t322 (or (not (tptp.rel_s4 @t1 @t320)) @t379))) (not (forall @t319 (or (not (tptp.rel_s4 @t1 @t317)) @t378))) (not (forall @t316 (or (not (tptp.rel_s4 @t1 @t314)) @t377))) (not (forall @t313 (or (not (tptp.rel_s4 @t1 @t311)) @t376)))))
% 171.73/172.08  (define @t381 () (tptp.qmltpeq @t349 tptp.e1 @t323))
% 171.73/172.08  (define @t382 () (tptp.qmltpeq @t351 tptp.e1 @t326))
% 171.73/172.08  (define @t383 () (tptp.qmltpeq @t353 tptp.e1 @t329))
% 171.73/172.08  (define @t384 () (tptp.qmltpeq @t355 tptp.e1 @t332))
% 171.73/172.08  (define @t385 () (or (not (forall @t334 (or (not (tptp.rel_s4 @t1 @t332)) @t384))) (not (forall @t331 (or (not (tptp.rel_s4 @t1 @t329)) @t383))) (not (forall @t328 (or (not (tptp.rel_s4 @t1 @t326)) @t382))) (not (forall @t325 (or (not (tptp.rel_s4 @t1 @t323)) @t381)))))
% 171.73/172.08  (define @t386 () (tptp.qmltpeq @t349 tptp.e0 @t335))
% 171.73/172.08  (define @t387 () (tptp.qmltpeq @t351 tptp.e0 @t338))
% 171.73/172.08  (define @t388 () (tptp.qmltpeq @t353 tptp.e0 @t341))
% 171.73/172.08  (define @t389 () (tptp.qmltpeq @t355 tptp.e0 @t344))
% 171.73/172.08  (define @t390 () (or (not (forall @t346 (or (not (tptp.rel_s4 @t1 @t344)) @t389))) (not (forall @t343 (or (not (tptp.rel_s4 @t1 @t341)) @t388))) (not (forall @t340 (or (not (tptp.rel_s4 @t1 @t338)) @t387))) (not (forall @t337 (or (not (tptp.rel_s4 @t1 @t335)) @t386)))))
% 171.73/172.08  (define @t391 () (tptp.rel_s4 @t7 @t1))
% 171.73/172.08  (define @t392 () (not @t391))
% 171.73/172.08  (define @t393 () (or @t392 (and @t390 @t385 @t380 @t375) @t370))
% 171.73/172.08  (define @t394 () (forall @t347 @t393))
% 171.73/172.08  (define @t395 () (forall @t6 @t393))
% 171.73/172.08  (define @t396 () (lambda @t159 @t395))
% 171.73/172.08  (define @t397 () (_ @t396 @t7))
% 171.73/172.08  (define @t398 () (forall @t159 @t397))
% 171.73/172.08  (define @t399 () (_ @t144 @t7))
% 171.73/172.08  (define @t400 () (lambda @t206 (forall @t159 @t399)))
% 171.73/172.08  (define @t401 () (not @t375))
% 171.73/172.08  (define @t402 () (not @t401))
% 171.73/172.08  (define @t403 () (not @t380))
% 171.73/172.08  (define @t404 () (not @t403))
% 171.73/172.08  (define @t405 () (not @t385))
% 171.73/172.08  (define @t406 () (not @t405))
% 171.73/172.08  (define @t407 () (not @t390))
% 171.73/172.08  (define @t408 () (not @t407))
% 171.73/172.08  (define @t409 () (and @t408 @t406 @t404 @t402))
% 171.73/172.08  (define @t410 () (not (or @t407 @t405 @t403 @t401)))
% 171.73/172.08  (define @t411 () (or @t392 @t410 @t370))
% 171.73/172.08  (define @t412 () (or @t410 @t370))
% 171.73/172.08  (define @t413 () (or (not (forall @t247 (or (not (tptp.rel_s4 @t1 @t243)) @t356))) (not (forall @t242 (or (not (tptp.rel_s4 @t1 @t238)) @t354))) (not (forall @t237 (or (not (tptp.rel_s4 @t1 @t233)) @t352))) (not (forall @t232 (or (not (tptp.rel_s4 @t1 @t217)) @t350)))))
% 171.73/172.08  (define @t414 () (or (not (forall @t263 (or (not (tptp.rel_s4 @t1 @t260)) @t360))) (not (forall @t259 (or (not (tptp.rel_s4 @t1 @t256)) @t359))) (not (forall @t255 (or (not (tptp.rel_s4 @t1 @t252)) @t358))) (not (forall @t251 (or (not (tptp.rel_s4 @t1 @t248)) @t357)))))
% 171.73/172.08  (define @t415 () (or (not (forall @t279 (or (not (tptp.rel_s4 @t1 @t276)) @t364))) (not (forall @t275 (or (not (tptp.rel_s4 @t1 @t272)) @t363))) (not (forall @t271 (or (not (tptp.rel_s4 @t1 @t268)) @t362))) (not (forall @t267 (or (not (tptp.rel_s4 @t1 @t264)) @t361)))))
% 171.73/172.08  (define @t416 () (or (not (forall @t295 (or (not (tptp.rel_s4 @t1 @t292)) @t368))) (not (forall @t291 (or (not (tptp.rel_s4 @t1 @t288)) @t367))) (not (forall @t287 (or (not (tptp.rel_s4 @t1 @t284)) @t366))) (not (forall @t283 (or (not (tptp.rel_s4 @t1 @t280)) @t365)))))
% 171.73/172.08  (define @t417 () (and @t416 @t415 @t414 @t413))
% 171.73/172.08  (define @t418 () (forall @t6 (or @t392 @t417)))
% 171.73/172.08  (define @t419 () (@list @t1))
% 171.73/172.08  (define @t420 () (not @t418))
% 171.73/172.08  (define @t421 () (tptp.qmltpeq @t349 tptp.e3 @t1))
% 171.73/172.08  (define @t422 () (forall @t6 (or @t392 @t421)))
% 171.73/172.08  (define @t423 () (@list @t299))
% 171.73/172.08  (define @t424 () (not @t422))
% 171.73/172.08  (define @t425 () (tptp.qmltpeq @t351 tptp.e3 @t1))
% 171.73/172.08  (define @t426 () (forall @t6 (or @t392 @t425)))
% 171.73/172.08  (define @t427 () (@list @t302))
% 171.73/172.08  (define @t428 () (not @t426))
% 171.73/172.08  (define @t429 () (tptp.qmltpeq @t353 tptp.e3 @t1))
% 171.73/172.08  (define @t430 () (forall @t6 (or @t392 @t429)))
% 171.73/172.08  (define @t431 () (@list @t305))
% 171.73/172.08  (define @t432 () (not @t430))
% 171.73/172.08  (define @t433 () (tptp.qmltpeq @t355 tptp.e3 @t1))
% 171.73/172.08  (define @t434 () (forall @t6 (or @t392 @t433)))
% 171.73/172.08  (define @t435 () (@list @t308))
% 171.73/172.08  (define @t436 () (not @t434))
% 171.73/172.08  (define @t437 () (or @t436 @t432 @t428 @t424))
% 171.73/172.08  (define @t438 () (not @t437))
% 171.73/172.08  (define @t439 () (tptp.qmltpeq @t349 tptp.e2 @t1))
% 171.73/172.08  (define @t440 () (forall @t6 (or @t392 @t439)))
% 171.73/172.08  (define @t441 () (@list @t311))
% 171.73/172.08  (define @t442 () (not @t440))
% 171.73/172.08  (define @t443 () (tptp.qmltpeq @t351 tptp.e2 @t1))
% 171.73/172.08  (define @t444 () (forall @t6 (or @t392 @t443)))
% 171.73/172.08  (define @t445 () (@list @t314))
% 171.73/172.08  (define @t446 () (not @t444))
% 171.73/172.08  (define @t447 () (tptp.qmltpeq @t353 tptp.e2 @t1))
% 171.73/172.08  (define @t448 () (forall @t6 (or @t392 @t447)))
% 171.73/172.08  (define @t449 () (@list @t317))
% 171.73/172.08  (define @t450 () (not @t448))
% 171.73/172.08  (define @t451 () (tptp.qmltpeq @t355 tptp.e2 @t1))
% 171.73/172.08  (define @t452 () (forall @t6 (or @t392 @t451)))
% 171.73/172.08  (define @t453 () (@list @t320))
% 171.73/172.08  (define @t454 () (not @t452))
% 171.73/172.08  (define @t455 () (or @t454 @t450 @t446 @t442))
% 171.73/172.08  (define @t456 () (not @t455))
% 171.73/172.08  (define @t457 () (tptp.qmltpeq @t349 tptp.e1 @t1))
% 171.73/172.08  (define @t458 () (forall @t6 (or @t392 @t457)))
% 171.73/172.08  (define @t459 () (@list @t323))
% 171.73/172.08  (define @t460 () (not @t458))
% 171.73/172.08  (define @t461 () (tptp.qmltpeq @t351 tptp.e1 @t1))
% 171.73/172.08  (define @t462 () (forall @t6 (or @t392 @t461)))
% 171.73/172.08  (define @t463 () (@list @t326))
% 171.73/172.08  (define @t464 () (not @t462))
% 171.73/172.08  (define @t465 () (tptp.qmltpeq @t353 tptp.e1 @t1))
% 171.73/172.08  (define @t466 () (forall @t6 (or @t392 @t465)))
% 171.73/172.08  (define @t467 () (@list @t329))
% 171.73/172.08  (define @t468 () (not @t466))
% 171.73/172.08  (define @t469 () (tptp.qmltpeq @t355 tptp.e1 @t1))
% 171.73/172.08  (define @t470 () (forall @t6 (or @t392 @t469)))
% 171.73/172.08  (define @t471 () (@list @t332))
% 171.73/172.08  (define @t472 () (not @t470))
% 171.73/172.08  (define @t473 () (or @t472 @t468 @t464 @t460))
% 171.73/172.08  (define @t474 () (not @t473))
% 171.73/172.08  (define @t475 () (tptp.qmltpeq @t349 tptp.e0 @t1))
% 171.73/172.08  (define @t476 () (forall @t6 (or @t392 @t475)))
% 171.73/172.08  (define @t477 () (@list @t335))
% 171.73/172.08  (define @t478 () (not @t476))
% 171.73/172.08  (define @t479 () (tptp.qmltpeq @t351 tptp.e0 @t1))
% 171.73/172.08  (define @t480 () (forall @t6 (or @t392 @t479)))
% 171.73/172.08  (define @t481 () (@list @t338))
% 171.73/172.08  (define @t482 () (not @t480))
% 171.73/172.08  (define @t483 () (tptp.qmltpeq @t353 tptp.e0 @t1))
% 171.73/172.08  (define @t484 () (forall @t6 (or @t392 @t483)))
% 171.73/172.08  (define @t485 () (@list @t341))
% 171.73/172.08  (define @t486 () (not @t484))
% 171.73/172.08  (define @t487 () (tptp.qmltpeq @t355 tptp.e0 @t1))
% 171.73/172.08  (define @t488 () (forall @t6 (or @t392 @t487)))
% 171.73/172.08  (define @t489 () (@list @t344))
% 171.73/172.08  (define @t490 () (not @t488))
% 171.73/172.08  (define @t491 () (or @t490 @t486 @t482 @t478))
% 171.73/172.08  (define @t492 () (not @t491))
% 171.73/172.08  (define @t493 () (or @t492 @t474 @t456 @t438))
% 171.73/172.08  (define @t494 () (not @t493))
% 171.73/172.08  (define @t495 () (or @t494 @t420))
% 171.73/172.08  (define @t496 () (lambda @t159 @t495))
% 171.73/172.08  (define @t497 () (or @t392 (_ @t496 @t1)))
% 171.73/172.08  (define @t498 () (forall @t6 @t497))
% 171.73/172.08  (define @t499 () (lambda @t159 @t498))
% 171.73/172.08  (define @t500 () (_ @t144 @t1))
% 171.73/172.08  (define @t501 () (lambda @t147 (forall @t6 (or @t392 @t500))))
% 171.73/172.08  (define @t502 () (not (tptp.rel_s4 @t11 @t1)))
% 171.73/172.08  (define @t503 () (forall @t6 (or @t502 @t417)))
% 171.73/172.08  (define @t504 () (forall @t6 (or @t502 @t421)))
% 171.73/172.08  (define @t505 () (not @t504))
% 171.73/172.08  (define @t506 () (forall @t6 (or @t502 @t425)))
% 171.73/172.08  (define @t507 () (not @t506))
% 171.73/172.08  (define @t508 () (forall @t6 (or @t502 @t429)))
% 171.73/172.08  (define @t509 () (not @t508))
% 171.73/172.08  (define @t510 () (forall @t6 (or @t502 @t433)))
% 171.73/172.08  (define @t511 () (not @t510))
% 171.73/172.08  (define @t512 () (or @t511 @t509 @t507 @t505))
% 171.73/172.08  (define @t513 () (not @t512))
% 171.73/172.08  (define @t514 () (forall @t6 (or @t502 @t439)))
% 171.73/172.08  (define @t515 () (not @t514))
% 171.73/172.08  (define @t516 () (forall @t6 (or @t502 @t443)))
% 171.73/172.08  (define @t517 () (not @t516))
% 171.73/172.08  (define @t518 () (forall @t6 (or @t502 @t447)))
% 171.73/172.08  (define @t519 () (not @t518))
% 171.73/172.08  (define @t520 () (forall @t6 (or @t502 @t451)))
% 171.73/172.08  (define @t521 () (not @t520))
% 171.73/172.08  (define @t522 () (or @t521 @t519 @t517 @t515))
% 171.73/172.08  (define @t523 () (not @t522))
% 171.73/172.08  (define @t524 () (forall @t6 (or @t502 @t457)))
% 171.73/172.08  (define @t525 () (not @t524))
% 171.73/172.08  (define @t526 () (forall @t6 (or @t502 @t461)))
% 171.73/172.08  (define @t527 () (not @t526))
% 171.73/172.08  (define @t528 () (forall @t6 (or @t502 @t465)))
% 171.73/172.08  (define @t529 () (not @t528))
% 171.73/172.08  (define @t530 () (forall @t6 (or @t502 @t469)))
% 171.73/172.08  (define @t531 () (not @t530))
% 171.73/172.08  (define @t532 () (or @t531 @t529 @t527 @t525))
% 171.73/172.08  (define @t533 () (not @t532))
% 171.73/172.08  (define @t534 () (forall @t6 (or @t502 @t475)))
% 171.73/172.08  (define @t535 () (not @t534))
% 171.73/172.08  (define @t536 () (forall @t6 (or @t502 @t479)))
% 171.73/172.08  (define @t537 () (not @t536))
% 171.73/172.08  (define @t538 () (forall @t6 (or @t502 @t483)))
% 171.73/172.08  (define @t539 () (not @t538))
% 171.73/172.08  (define @t540 () (forall @t6 (or @t502 @t487)))
% 171.73/172.08  (define @t541 () (not @t540))
% 171.73/172.08  (define @t542 () (or @t541 @t539 @t537 @t535))
% 171.73/172.08  (define @t543 () (not @t542))
% 171.73/172.08  (define @t544 () (or @t543 @t533 @t523 @t513))
% 171.73/172.08  (define @t545 () (not @t544))
% 171.73/172.08  (define @t546 () (@list @t11))
% 171.73/172.08  (define @t547 () (lambda @t546 (not (or @t545 (not @t503)))))
% 171.73/172.08  (define @t548 () (_ @t547 @t7))
% 171.73/172.08  (define @t549 () (not @t548))
% 171.73/172.08  (define @t550 () (lambda @t159 @t549))
% 171.73/172.08  (define @t551 () (lambda @t159 @t418))
% 171.73/172.08  (define @t552 () (_ @t551 @t11))
% 171.73/172.08  (define @t553 () (not @t552))
% 171.73/172.08  (define @t554 () (or @t545 @t553))
% 171.73/172.08  (define @t555 () (not @t554))
% 171.73/172.08  (define @t556 () (lambda @t546 @t555))
% 171.73/172.08  (define @t557 () (not (_ @t149 @t11)))
% 171.73/172.08  (define @t558 () (@list @t149 @t11))
% 171.73/172.08  (define @t559 () (not @t413))
% 171.73/172.08  (define @t560 () (not @t559))
% 171.73/172.08  (define @t561 () (not @t414))
% 171.73/172.08  (define @t562 () (not @t561))
% 171.73/172.08  (define @t563 () (not @t415))
% 171.73/172.08  (define @t564 () (not @t563))
% 171.73/172.08  (define @t565 () (not @t416))
% 171.73/172.08  (define @t566 () (not @t565))
% 171.73/172.08  (define @t567 () (and @t566 @t564 @t562 @t560))
% 171.73/172.08  (define @t568 () (not (or @t565 @t563 @t561 @t559)))
% 171.73/172.08  (define @t569 () (or @t392 @t568))
% 171.73/172.08  (define @t570 () (@list @t217))
% 171.73/172.08  (define @t571 () (@list @t233))
% 171.73/172.08  (define @t572 () (@list @t238))
% 171.73/172.08  (define @t573 () (@list @t243))
% 171.73/172.08  (define @t574 () (@list @t248))
% 171.73/172.08  (define @t575 () (@list @t252))
% 171.73/172.08  (define @t576 () (@list @t256))
% 171.73/172.08  (define @t577 () (@list @t260))
% 171.73/172.08  (define @t578 () (@list @t264))
% 171.73/172.08  (define @t579 () (@list @t268))
% 171.73/172.08  (define @t580 () (@list @t272))
% 171.73/172.08  (define @t581 () (@list @t276))
% 171.73/172.08  (define @t582 () (@list @t280))
% 171.73/172.08  (define @t583 () (@list @t284))
% 171.73/172.08  (define @t584 () (@list @t288))
% 171.73/172.08  (define @t585 () (@list @t292))
% 171.73/172.08  (define @t586 () (lambda @t159 @t494))
% 171.73/172.08  (define @t587 () (or @t392 (_ @t586 @t1)))
% 171.73/172.08  (define @t588 () (forall @t6 @t587))
% 171.73/172.08  (define @t589 () (lambda @t159 @t588))
% 171.73/172.08  (define @t590 () (lambda @t159 @t493))
% 171.73/172.08  (define @t591 () (_ @t590 @t7))
% 171.73/172.08  (define @t592 () (not @t591))
% 171.73/172.08  (define @t593 () (lambda @t159 @t592))
% 171.73/172.08  (define @t594 () (or @t474 @t456 @t438))
% 171.73/172.08  (define @t595 () (lambda @t159 @t594))
% 171.73/172.08  (define @t596 () (_ @t595 @t7))
% 171.73/172.08  (define @t597 () (or @t492 @t596))
% 171.73/172.08  (define @t598 () (lambda @t159 @t597))
% 171.73/172.08  (define @t599 () (@list @t149 @t7))
% 171.73/172.08  (define @t600 () (or @t456 @t438))
% 171.73/172.08  (define @t601 () (lambda @t159 @t600))
% 171.73/172.08  (define @t602 () (_ @t601 @t7))
% 171.73/172.08  (define @t603 () (or @t474 @t602))
% 171.73/172.08  (define @t604 () (lambda @t159 @t603))
% 171.73/172.08  (define @t605 () (lambda @t546 @t513))
% 171.73/172.08  (define @t606 () (_ @t605 @t7))
% 171.73/172.08  (define @t607 () (or @t456 @t606))
% 171.73/172.08  (define @t608 () (lambda @t159 @t607))
% 171.73/172.08  (define @t609 () (or @t509 @t507 @t505))
% 171.73/172.08  (define @t610 () (not @t609))
% 171.73/172.08  (define @t611 () (lambda @t546 @t610))
% 171.73/172.08  (define @t612 () (_ @t611 @t11))
% 171.73/172.08  (define @t613 () (not @t612))
% 171.73/172.08  (define @t614 () (or @t511 @t613))
% 171.73/172.08  (define @t615 () (not @t614))
% 171.73/172.08  (define @t616 () (lambda @t546 @t615))
% 171.73/172.08  (define @t617 () (or @t507 @t505))
% 171.73/172.08  (define @t618 () (not @t617))
% 171.73/172.08  (define @t619 () (lambda @t546 @t618))
% 171.73/172.08  (define @t620 () (_ @t619 @t11))
% 171.73/172.08  (define @t621 () (not @t620))
% 171.73/172.08  (define @t622 () (or @t509 @t621))
% 171.73/172.08  (define @t623 () (not @t622))
% 171.73/172.08  (define @t624 () (lambda @t546 @t623))
% 171.73/172.08  (define @t625 () (lambda @t159 @t422))
% 171.73/172.08  (define @t626 () (_ @t625 @t11))
% 171.73/172.08  (define @t627 () (not @t626))
% 171.73/172.08  (define @t628 () (or @t507 @t627))
% 171.73/172.08  (define @t629 () (not @t628))
% 171.73/172.08  (define @t630 () (lambda @t546 @t629))
% 171.73/172.08  (define @t631 () (_ tptp.qmltpeq @t349))
% 171.73/172.08  (define @t632 () (_ @t30 @t1))
% 171.73/172.08  (define @t633 () (or @t392 @t632))
% 171.73/172.08  (define @t634 () (_ @t30 @t1))
% 171.73/172.08  (define @t635 () (or @t392 @t634))
% 171.73/172.08  (define @t636 () (forall @t6 @t635))
% 171.73/172.08  (define @t637 () (lambda @t159 @t636))
% 171.73/172.08  (define @t638 () (_ @t501 @t30))
% 171.73/172.08  (define @t639 () (lambda @t159 @t426))
% 171.73/172.08  (define @t640 () (_ @t639 @t11))
% 171.73/172.08  (define @t641 () (not @t640))
% 171.73/172.08  (define @t642 () (or @t641 @t557))
% 171.73/172.08  (define @t643 () (not @t642))
% 171.73/172.08  (define @t644 () (lambda @t558 @t643))
% 171.73/172.08  (define @t645 () (not (or (not (_ @t144 @t11)) @t557)))
% 171.73/172.08  (define @t646 () (lambda @t164 @t645))
% 171.73/172.08  (define @t647 () (_ tptp.qmltpeq @t351))
% 171.73/172.08  (define @t648 () (_ @t49 @t1))
% 171.73/172.08  (define @t649 () (or @t392 @t648))
% 171.73/172.08  (define @t650 () (_ @t49 @t1))
% 171.73/172.08  (define @t651 () (or @t392 @t650))
% 171.73/172.08  (define @t652 () (forall @t6 @t651))
% 171.73/172.08  (define @t653 () (lambda @t159 @t652))
% 171.73/172.08  (define @t654 () (_ @t501 @t49))
% 171.73/172.08  (define @t655 () (lambda @t159 @t430))
% 171.73/172.08  (define @t656 () (_ @t655 @t11))
% 171.73/172.08  (define @t657 () (not @t656))
% 171.73/172.08  (define @t658 () (or @t657 @t557))
% 171.73/172.08  (define @t659 () (not @t658))
% 171.73/172.08  (define @t660 () (lambda @t558 @t659))
% 171.73/172.08  (define @t661 () (_ tptp.qmltpeq @t353))
% 171.73/172.08  (define @t662 () (_ @t68 @t1))
% 171.73/172.08  (define @t663 () (or @t392 @t662))
% 171.73/172.08  (define @t664 () (_ @t68 @t1))
% 171.73/172.08  (define @t665 () (or @t392 @t664))
% 171.73/172.08  (define @t666 () (forall @t6 @t665))
% 171.73/172.08  (define @t667 () (lambda @t159 @t666))
% 171.73/172.08  (define @t668 () (_ @t501 @t68))
% 171.73/172.08  (define @t669 () (lambda @t159 @t434))
% 171.73/172.08  (define @t670 () (_ @t669 @t11))
% 171.73/172.08  (define @t671 () (not @t670))
% 171.73/172.08  (define @t672 () (or @t671 @t557))
% 171.73/172.08  (define @t673 () (not @t672))
% 171.73/172.08  (define @t674 () (lambda @t558 @t673))
% 171.73/172.08  (define @t675 () (_ tptp.qmltpeq @t355))
% 171.73/172.08  (define @t676 () (_ @t87 @t1))
% 171.73/172.08  (define @t677 () (or @t392 @t676))
% 171.73/172.08  (define @t678 () (_ @t87 @t1))
% 171.73/172.08  (define @t679 () (or @t392 @t678))
% 171.73/172.08  (define @t680 () (forall @t6 @t679))
% 171.73/172.08  (define @t681 () (lambda @t159 @t680))
% 171.73/172.08  (define @t682 () (_ @t501 @t87))
% 171.73/172.08  (define @t683 () (lambda @t546 @t523))
% 171.73/172.08  (define @t684 () (_ @t683 @t7))
% 171.73/172.08  (define @t685 () (or @t684 @t150))
% 171.73/172.08  (define @t686 () (lambda @t599 @t685))
% 171.73/172.08  (define @t687 () (or @t519 @t517 @t515))
% 171.73/172.08  (define @t688 () (not @t687))
% 171.73/172.08  (define @t689 () (lambda @t546 @t688))
% 171.73/172.08  (define @t690 () (_ @t689 @t11))
% 171.73/172.08  (define @t691 () (not @t690))
% 171.73/172.08  (define @t692 () (or @t521 @t691))
% 171.73/172.08  (define @t693 () (not @t692))
% 171.73/172.08  (define @t694 () (lambda @t546 @t693))
% 171.73/172.08  (define @t695 () (or @t517 @t515))
% 171.73/172.08  (define @t696 () (not @t695))
% 171.73/172.08  (define @t697 () (lambda @t546 @t696))
% 171.73/172.08  (define @t698 () (_ @t697 @t11))
% 171.73/172.08  (define @t699 () (not @t698))
% 171.73/172.08  (define @t700 () (or @t519 @t699))
% 171.73/172.08  (define @t701 () (not @t700))
% 171.73/172.08  (define @t702 () (lambda @t546 @t701))
% 171.73/172.08  (define @t703 () (lambda @t159 @t440))
% 171.73/172.08  (define @t704 () (_ @t703 @t11))
% 171.73/172.08  (define @t705 () (not @t704))
% 171.73/172.08  (define @t706 () (or @t517 @t705))
% 171.73/172.08  (define @t707 () (not @t706))
% 171.73/172.08  (define @t708 () (lambda @t546 @t707))
% 171.73/172.08  (define @t709 () (_ @t32 @t1))
% 171.73/172.08  (define @t710 () (or @t392 @t709))
% 171.73/172.08  (define @t711 () (_ @t32 @t1))
% 171.73/172.08  (define @t712 () (or @t392 @t711))
% 171.73/172.08  (define @t713 () (forall @t6 @t712))
% 171.73/172.08  (define @t714 () (lambda @t159 @t713))
% 171.73/172.08  (define @t715 () (_ @t501 @t32))
% 171.73/172.08  (define @t716 () (lambda @t159 @t444))
% 171.73/172.08  (define @t717 () (_ @t716 @t11))
% 171.73/172.08  (define @t718 () (not @t717))
% 171.73/172.08  (define @t719 () (or @t718 @t557))
% 171.73/172.08  (define @t720 () (not @t719))
% 171.73/172.08  (define @t721 () (lambda @t558 @t720))
% 171.73/172.08  (define @t722 () (_ @t51 @t1))
% 171.73/172.08  (define @t723 () (or @t392 @t722))
% 171.73/172.08  (define @t724 () (_ @t51 @t1))
% 171.73/172.08  (define @t725 () (or @t392 @t724))
% 171.73/172.08  (define @t726 () (forall @t6 @t725))
% 171.73/172.08  (define @t727 () (lambda @t159 @t726))
% 171.73/172.08  (define @t728 () (_ @t501 @t51))
% 171.73/172.08  (define @t729 () (lambda @t159 @t448))
% 171.73/172.08  (define @t730 () (_ @t729 @t11))
% 171.73/172.08  (define @t731 () (not @t730))
% 171.73/172.08  (define @t732 () (or @t731 @t557))
% 171.73/172.08  (define @t733 () (not @t732))
% 171.73/172.08  (define @t734 () (lambda @t558 @t733))
% 171.73/172.08  (define @t735 () (_ @t70 @t1))
% 171.73/172.08  (define @t736 () (or @t392 @t735))
% 171.73/172.08  (define @t737 () (_ @t70 @t1))
% 171.73/172.08  (define @t738 () (or @t392 @t737))
% 171.73/172.08  (define @t739 () (forall @t6 @t738))
% 171.73/172.08  (define @t740 () (lambda @t159 @t739))
% 171.73/172.08  (define @t741 () (_ @t501 @t70))
% 171.73/172.08  (define @t742 () (lambda @t159 @t452))
% 171.73/172.08  (define @t743 () (_ @t742 @t11))
% 171.73/172.08  (define @t744 () (not @t743))
% 171.73/172.08  (define @t745 () (or @t744 @t557))
% 171.73/172.08  (define @t746 () (not @t745))
% 171.73/172.08  (define @t747 () (lambda @t558 @t746))
% 171.73/172.08  (define @t748 () (_ @t89 @t1))
% 171.73/172.08  (define @t749 () (or @t392 @t748))
% 171.73/172.08  (define @t750 () (_ @t89 @t1))
% 171.73/172.08  (define @t751 () (or @t392 @t750))
% 171.73/172.08  (define @t752 () (forall @t6 @t751))
% 171.73/172.08  (define @t753 () (lambda @t159 @t752))
% 171.73/172.08  (define @t754 () (_ @t501 @t89))
% 171.73/172.08  (define @t755 () (lambda @t546 @t533))
% 171.73/172.08  (define @t756 () (_ @t755 @t7))
% 171.73/172.08  (define @t757 () (or @t756 @t150))
% 171.73/172.08  (define @t758 () (lambda @t599 @t757))
% 171.73/172.08  (define @t759 () (or @t529 @t527 @t525))
% 171.73/172.08  (define @t760 () (not @t759))
% 171.73/172.08  (define @t761 () (lambda @t546 @t760))
% 171.73/172.08  (define @t762 () (_ @t761 @t11))
% 171.73/172.08  (define @t763 () (not @t762))
% 171.73/172.08  (define @t764 () (or @t531 @t763))
% 171.73/172.08  (define @t765 () (not @t764))
% 171.73/172.08  (define @t766 () (lambda @t546 @t765))
% 171.73/172.08  (define @t767 () (or @t527 @t525))
% 171.73/172.08  (define @t768 () (not @t767))
% 171.73/172.08  (define @t769 () (lambda @t546 @t768))
% 171.73/172.08  (define @t770 () (_ @t769 @t11))
% 171.73/172.08  (define @t771 () (not @t770))
% 171.73/172.08  (define @t772 () (or @t529 @t771))
% 171.73/172.08  (define @t773 () (not @t772))
% 171.73/172.08  (define @t774 () (lambda @t546 @t773))
% 171.73/172.08  (define @t775 () (lambda @t159 @t458))
% 171.73/172.08  (define @t776 () (_ @t775 @t11))
% 171.73/172.08  (define @t777 () (not @t776))
% 171.73/172.08  (define @t778 () (or @t527 @t777))
% 171.73/172.08  (define @t779 () (not @t778))
% 171.73/172.08  (define @t780 () (lambda @t546 @t779))
% 171.73/172.08  (define @t781 () (_ @t34 @t1))
% 171.73/172.08  (define @t782 () (or @t392 @t781))
% 171.73/172.08  (define @t783 () (_ @t34 @t1))
% 171.73/172.08  (define @t784 () (or @t392 @t783))
% 171.73/172.08  (define @t785 () (forall @t6 @t784))
% 171.73/172.08  (define @t786 () (lambda @t159 @t785))
% 171.73/172.08  (define @t787 () (_ @t501 @t34))
% 171.73/172.08  (define @t788 () (lambda @t159 @t462))
% 171.73/172.08  (define @t789 () (_ @t788 @t11))
% 171.73/172.08  (define @t790 () (not @t789))
% 171.73/172.08  (define @t791 () (or @t790 @t557))
% 171.73/172.08  (define @t792 () (not @t791))
% 171.73/172.08  (define @t793 () (lambda @t558 @t792))
% 171.73/172.08  (define @t794 () (_ @t53 @t1))
% 171.73/172.08  (define @t795 () (or @t392 @t794))
% 171.73/172.08  (define @t796 () (_ @t53 @t1))
% 171.73/172.08  (define @t797 () (or @t392 @t796))
% 171.73/172.08  (define @t798 () (forall @t6 @t797))
% 171.73/172.08  (define @t799 () (lambda @t159 @t798))
% 171.73/172.08  (define @t800 () (_ @t501 @t53))
% 171.73/172.08  (define @t801 () (lambda @t159 @t466))
% 171.73/172.08  (define @t802 () (_ @t801 @t11))
% 171.73/172.08  (define @t803 () (not @t802))
% 171.73/172.08  (define @t804 () (or @t803 @t557))
% 171.73/172.08  (define @t805 () (not @t804))
% 171.73/172.08  (define @t806 () (lambda @t558 @t805))
% 171.73/172.08  (define @t807 () (_ @t72 @t1))
% 171.73/172.08  (define @t808 () (or @t392 @t807))
% 171.73/172.08  (define @t809 () (_ @t72 @t1))
% 171.73/172.08  (define @t810 () (or @t392 @t809))
% 171.73/172.08  (define @t811 () (forall @t6 @t810))
% 171.73/172.08  (define @t812 () (lambda @t159 @t811))
% 171.73/172.08  (define @t813 () (_ @t501 @t72))
% 171.73/172.08  (define @t814 () (lambda @t159 @t470))
% 171.73/172.08  (define @t815 () (_ @t814 @t11))
% 171.73/172.08  (define @t816 () (not @t815))
% 171.73/172.08  (define @t817 () (or @t816 @t557))
% 171.73/172.08  (define @t818 () (not @t817))
% 171.73/172.08  (define @t819 () (lambda @t558 @t818))
% 171.73/172.08  (define @t820 () (_ @t91 @t1))
% 171.73/172.08  (define @t821 () (or @t392 @t820))
% 171.73/172.08  (define @t822 () (_ @t91 @t1))
% 171.73/172.08  (define @t823 () (or @t392 @t822))
% 171.73/172.08  (define @t824 () (forall @t6 @t823))
% 171.73/172.08  (define @t825 () (lambda @t159 @t824))
% 171.73/172.08  (define @t826 () (_ @t501 @t91))
% 171.73/172.08  (define @t827 () (lambda @t546 @t543))
% 171.73/172.08  (define @t828 () (_ @t827 @t7))
% 171.73/172.08  (define @t829 () (or @t828 @t150))
% 171.73/172.08  (define @t830 () (lambda @t599 @t829))
% 171.73/172.08  (define @t831 () (or @t539 @t537 @t535))
% 171.73/172.08  (define @t832 () (not @t831))
% 171.73/172.08  (define @t833 () (lambda @t546 @t832))
% 171.73/172.08  (define @t834 () (_ @t833 @t11))
% 171.73/172.08  (define @t835 () (not @t834))
% 171.73/172.08  (define @t836 () (or @t541 @t835))
% 171.73/172.08  (define @t837 () (not @t836))
% 171.73/172.08  (define @t838 () (lambda @t546 @t837))
% 171.73/172.08  (define @t839 () (or @t537 @t535))
% 171.73/172.08  (define @t840 () (not @t839))
% 171.73/172.08  (define @t841 () (lambda @t546 @t840))
% 171.73/172.08  (define @t842 () (_ @t841 @t11))
% 171.73/172.08  (define @t843 () (not @t842))
% 171.73/172.08  (define @t844 () (or @t539 @t843))
% 171.73/172.08  (define @t845 () (not @t844))
% 171.73/172.08  (define @t846 () (lambda @t546 @t845))
% 171.73/172.08  (define @t847 () (lambda @t159 @t476))
% 171.73/172.08  (define @t848 () (_ @t847 @t11))
% 171.73/172.08  (define @t849 () (not @t848))
% 171.73/172.08  (define @t850 () (or @t537 @t849))
% 171.73/172.08  (define @t851 () (not @t850))
% 171.73/172.08  (define @t852 () (lambda @t546 @t851))
% 171.73/172.08  (define @t853 () (_ @t36 @t1))
% 171.73/172.08  (define @t854 () (or @t392 @t853))
% 171.73/172.08  (define @t855 () (_ @t36 @t1))
% 171.73/172.08  (define @t856 () (or @t392 @t855))
% 171.73/172.08  (define @t857 () (forall @t6 @t856))
% 171.73/172.08  (define @t858 () (lambda @t159 @t857))
% 171.73/172.08  (define @t859 () (_ @t501 @t36))
% 171.73/172.08  (define @t860 () (lambda @t159 @t480))
% 171.73/172.08  (define @t861 () (_ @t860 @t11))
% 171.73/172.08  (define @t862 () (not @t861))
% 171.73/172.08  (define @t863 () (or @t862 @t557))
% 171.73/172.08  (define @t864 () (not @t863))
% 171.73/172.08  (define @t865 () (lambda @t558 @t864))
% 171.73/172.08  (define @t866 () (_ @t55 @t1))
% 171.73/172.08  (define @t867 () (or @t392 @t866))
% 171.73/172.08  (define @t868 () (_ @t55 @t1))
% 171.73/172.08  (define @t869 () (or @t392 @t868))
% 171.73/172.08  (define @t870 () (forall @t6 @t869))
% 171.73/172.08  (define @t871 () (lambda @t159 @t870))
% 171.73/172.08  (define @t872 () (_ @t501 @t55))
% 171.73/172.08  (define @t873 () (lambda @t159 @t484))
% 171.73/172.08  (define @t874 () (_ @t873 @t11))
% 171.73/172.08  (define @t875 () (not @t874))
% 171.73/172.08  (define @t876 () (or @t875 @t557))
% 171.73/172.08  (define @t877 () (not @t876))
% 171.73/172.08  (define @t878 () (lambda @t558 @t877))
% 171.73/172.08  (define @t879 () (_ @t74 @t1))
% 171.73/172.08  (define @t880 () (or @t392 @t879))
% 171.73/172.08  (define @t881 () (_ @t74 @t1))
% 171.73/172.08  (define @t882 () (or @t392 @t881))
% 171.73/172.08  (define @t883 () (forall @t6 @t882))
% 171.73/172.08  (define @t884 () (lambda @t159 @t883))
% 171.73/172.08  (define @t885 () (_ @t501 @t74))
% 171.73/172.08  (define @t886 () (lambda @t159 @t488))
% 171.73/172.08  (define @t887 () (_ @t886 @t11))
% 171.73/172.08  (define @t888 () (not @t887))
% 171.73/172.08  (define @t889 () (or @t888 @t557))
% 171.73/172.08  (define @t890 () (not @t889))
% 171.73/172.08  (define @t891 () (lambda @t558 @t890))
% 171.73/172.08  (define @t892 () (_ @t93 @t1))
% 171.73/172.08  (define @t893 () (or @t392 @t892))
% 171.73/172.08  (define @t894 () (_ @t93 @t1))
% 171.73/172.08  (define @t895 () (or @t392 @t894))
% 171.73/172.08  (define @t896 () (forall @t6 @t895))
% 171.73/172.08  (define @t897 () (lambda @t159 @t896))
% 171.73/172.08  (define @t898 () (_ @t501 @t93))
% 171.73/172.08  (define @t899 () (_ @t590 @t11))
% 171.73/172.08  (define @t900 () (not @t899))
% 171.73/172.08  (define @t901 () (or @t900 @t557))
% 171.73/172.08  (define @t902 () (not @t901))
% 171.73/172.08  (define @t903 () (lambda @t558 @t902))
% 171.73/172.08  (define @t904 () (_ (_ @t151 (_ (_ @t646 @t898) (_ (_ @t646 @t885) (_ (_ @t646 @t872) @t859)))) (_ (_ @t151 (_ (_ @t646 @t826) (_ (_ @t646 @t813) (_ (_ @t646 @t800) @t787)))) (_ (_ @t151 (_ (_ @t646 @t754) (_ (_ @t646 @t741) (_ (_ @t646 @t728) @t715)))) (_ (_ @t646 @t682) (_ (_ @t646 @t668) (_ (_ @t646 @t654) @t638)))))))
% 171.73/172.08  (define @t905 () (not @t150))
% 171.73/172.08  (define @t906 () (or @t146 @t905))
% 171.73/172.08  (define @t907 () (lambda @t159 @t906))
% 171.73/172.08  (define @t908 () (_ @t907 @t7))
% 171.73/172.08  (define @t909 () (not @t908))
% 171.73/172.08  (define @t910 () (lambda @t159 @t909))
% 171.73/172.08  (define @t911 () (lambda @t159 @t905))
% 171.73/172.08  (define @t912 () (_ @t911 @t7))
% 171.73/172.08  (define @t913 () (or @t146 @t912))
% 171.73/172.08  (define @t914 () (lambda @t159 @t913))
% 171.73/172.08  (define @t915 () (lambda @t159 @t146))
% 171.73/172.08  (define @t916 () (_ @t915 @t7))
% 171.73/172.08  (define @t917 () (or @t916 @t150))
% 171.73/172.08  (define @t918 () (lambda @t599 @t917))
% 171.73/172.08  (define @t919 () (@quantifiers_skolemize @t348 1))
% 171.73/172.08  (define @t920 () (_ @t230 @t229 @t919))
% 171.73/172.08  (define @t921 () (forall @t298 (or (not (_ @t226 @t920 @t228)) @t296)))
% 171.73/172.08  (define @t922 () (not @t921))
% 171.73/172.08  (define @t923 () (forall @t301 (or (not (_ @t226 @t920 @t299)) @t300)))
% 171.73/172.08  (define @t924 () (not @t923))
% 171.73/172.08  (define @t925 () (forall @t304 (or (not (_ @t226 @t920 @t302)) @t303)))
% 171.73/172.08  (define @t926 () (not @t925))
% 171.73/172.08  (define @t927 () (forall @t307 (or (not (_ @t226 @t920 @t305)) @t306)))
% 171.73/172.08  (define @t928 () (not @t927))
% 171.73/172.08  (define @t929 () (forall @t310 (or (not (_ @t226 @t920 @t308)) @t309)))
% 171.73/172.08  (define @t930 () (not @t929))
% 171.73/172.08  (define @t931 () (or @t930 @t928 @t926 @t924))
% 171.73/172.08  (define @t932 () (forall @t313 (or (not (_ @t226 @t920 @t311)) @t312)))
% 171.73/172.08  (define @t933 () (not @t932))
% 171.73/172.08  (define @t934 () (forall @t316 (or (not (_ @t226 @t920 @t314)) @t315)))
% 171.73/172.08  (define @t935 () (not @t934))
% 171.73/172.08  (define @t936 () (forall @t319 (or (not (_ @t226 @t920 @t317)) @t318)))
% 171.73/172.08  (define @t937 () (not @t936))
% 171.73/172.08  (define @t938 () (forall @t322 (or (not (_ @t226 @t920 @t320)) @t321)))
% 171.73/172.08  (define @t939 () (not @t938))
% 171.73/172.08  (define @t940 () (or @t939 @t937 @t935 @t933))
% 171.73/172.08  (define @t941 () (forall @t325 (or (not (_ @t226 @t920 @t323)) @t324)))
% 171.73/172.08  (define @t942 () (not @t941))
% 171.73/172.08  (define @t943 () (forall @t328 (or (not (_ @t226 @t920 @t326)) @t327)))
% 171.73/172.08  (define @t944 () (not @t943))
% 171.73/172.08  (define @t945 () (forall @t331 (or (not (_ @t226 @t920 @t329)) @t330)))
% 171.73/172.08  (define @t946 () (not @t945))
% 171.73/172.08  (define @t947 () (forall @t334 (or (not (_ @t226 @t920 @t332)) @t333)))
% 171.73/172.08  (define @t948 () (not @t947))
% 171.73/172.08  (define @t949 () (or @t948 @t946 @t944 @t942))
% 171.73/172.08  (define @t950 () (forall @t337 (or (not (_ @t226 @t920 @t335)) @t336)))
% 171.73/172.08  (define @t951 () (not @t950))
% 171.73/172.08  (define @t952 () (forall @t340 (or (not (_ @t226 @t920 @t338)) @t339)))
% 171.73/172.08  (define @t953 () (not @t952))
% 171.73/172.08  (define @t954 () (forall @t343 (or (not (_ @t226 @t920 @t341)) @t342)))
% 171.73/172.08  (define @t955 () (not @t954))
% 171.73/172.08  (define @t956 () (forall @t346 (or (not (_ @t226 @t920 @t344)) @t345)))
% 171.73/172.08  (define @t957 () (not @t956))
% 171.73/172.08  (define @t958 () (or @t957 @t955 @t953 @t951))
% 171.73/172.08  (define @t959 () (and @t958 @t949 @t940 @t931))
% 171.73/172.08  (define @t960 () (or (not (_ @t226 (_ @t230 @t229 (@quantifiers_skolemize @t348 0)) @t919)) @t959 @t922))
% 171.73/172.08  (define @t961 () (@list true))
% 171.73/172.08  (define @t962 () (@list @t960))
% 171.73/172.08  (define @t963 () (@list @t919))
% 171.73/172.08  (define @t964 () (forall @t179 (tptp.rel_s4 @t176 @t176)))
% 171.73/172.08  (define @t965 () (_ @t153 @t176 @t176))
% 171.73/172.08  (define @t966 () (forall @t232 (or (not (_ @t226 @t920 @t217)) @t227)))
% 171.73/172.08  (define @t967 () (not @t966))
% 171.73/172.08  (define @t968 () (forall @t237 (or (not (_ @t226 @t920 @t233)) @t236)))
% 171.73/172.08  (define @t969 () (not @t968))
% 171.73/172.08  (define @t970 () (forall @t242 (or (not (_ @t226 @t920 @t238)) @t241)))
% 171.73/172.08  (define @t971 () (not @t970))
% 171.73/172.08  (define @t972 () (forall @t247 (or (not (_ @t226 @t920 @t243)) @t246)))
% 171.73/172.08  (define @t973 () (not @t972))
% 171.73/172.08  (define @t974 () (or @t973 @t971 @t969 @t967))
% 171.73/172.08  (define @t975 () (forall @t251 (or (not (_ @t226 @t920 @t248)) @t250)))
% 171.73/172.08  (define @t976 () (not @t975))
% 171.73/172.08  (define @t977 () (forall @t255 (or (not (_ @t226 @t920 @t252)) @t254)))
% 171.73/172.08  (define @t978 () (not @t977))
% 171.73/172.08  (define @t979 () (forall @t259 (or (not (_ @t226 @t920 @t256)) @t258)))
% 171.73/172.08  (define @t980 () (not @t979))
% 171.73/172.08  (define @t981 () (forall @t263 (or (not (_ @t226 @t920 @t260)) @t262)))
% 171.73/172.08  (define @t982 () (not @t981))
% 171.73/172.08  (define @t983 () (or @t982 @t980 @t978 @t976))
% 171.73/172.08  (define @t984 () (forall @t267 (or (not (_ @t226 @t920 @t264)) @t266)))
% 171.73/172.08  (define @t985 () (not @t984))
% 171.73/172.08  (define @t986 () (forall @t271 (or (not (_ @t226 @t920 @t268)) @t270)))
% 171.73/172.08  (define @t987 () (not @t986))
% 171.73/172.08  (define @t988 () (forall @t275 (or (not (_ @t226 @t920 @t272)) @t274)))
% 171.73/172.08  (define @t989 () (not @t988))
% 171.73/172.08  (define @t990 () (forall @t279 (or (not (_ @t226 @t920 @t276)) @t278)))
% 171.73/172.08  (define @t991 () (not @t990))
% 171.73/172.08  (define @t992 () (or @t991 @t989 @t987 @t985))
% 171.73/172.08  (define @t993 () (forall @t283 (or (not (_ @t226 @t920 @t280)) @t282)))
% 171.73/172.08  (define @t994 () (not @t993))
% 171.73/172.08  (define @t995 () (forall @t287 (or (not (_ @t226 @t920 @t284)) @t286)))
% 171.73/172.08  (define @t996 () (not @t995))
% 171.73/172.08  (define @t997 () (forall @t291 (or (not (_ @t226 @t920 @t288)) @t290)))
% 171.73/172.08  (define @t998 () (not @t997))
% 171.73/172.08  (define @t999 () (forall @t295 (or (not (_ @t226 @t920 @t292)) @t294)))
% 171.73/172.08  (define @t1000 () (not @t999))
% 171.73/172.08  (define @t1001 () (or @t1000 @t998 @t996 @t994))
% 171.73/172.08  (define @t1002 () (and @t1001 @t992 @t983 @t974))
% 171.73/172.08  (define @t1003 () (_ @t226 @t920 @t919))
% 171.73/172.08  (define @t1004 () (not @t1003))
% 171.73/172.08  (define @t1005 () (or @t1004 @t1002))
% 171.73/172.08  (define @t1006 () (not @t1002))
% 171.73/172.08  (define @t1007 () (@list false))
% 171.73/172.08  (define @t1008 () (@list @t1002))
% 171.73/172.08  (define @t1009 () (@list false false false false false false false false false))
% 171.73/172.08  (define @t1010 () (@list @t958))
% 171.73/172.08  (assume @p1 (= tptp.mfalse (_ tptp.mnot tptp.mtrue)))
% 171.73/172.08  (assume @p2 (forall @t6 (exists @t5 @t4)))
% 171.73/172.08  (assume @p3 (_ tptp.mreflexive tptp.rel_s4))
% 171.73/172.08  (assume @p4 (_ tptp.mtransitive tptp.rel_s4))
% 171.73/172.08  (assume @p5 (forall (@list @t2 @t1 @t7) (=> (and @t4 (_ (_ tptp.rel_s4 @t1) @t7)) @t8)))
% 171.73/172.08  (assume @p6 (forall @t6 (_ (_ tptp.exists_in_world tptp.unit) @t1)))
% 171.73/172.08  (assume @p7 (forall (@list @t1 @t9) (_ (_ tptp.exists_in_world (_ tptp.inv @t9)) @t1)))
% 171.73/172.08  (assume @p8 (forall @t6 (_ (_ tptp.exists_in_world tptp.e3) @t1)))
% 171.73/172.08  (assume @p9 (forall @t6 (_ (_ tptp.exists_in_world tptp.e2) @t1)))
% 171.73/172.08  (assume @p10 (forall @t6 (_ (_ tptp.exists_in_world tptp.e1) @t1)))
% 171.73/172.08  (assume @p11 (forall @t6 (_ (_ tptp.exists_in_world tptp.e0) @t1)))
% 171.73/172.08  (assume @p12 (forall (@list @t1 @t10 @t9) (_ (_ tptp.exists_in_world (_ (_ tptp.op @t10) @t9)) @t1)))
% 171.73/172.08  (assume @p13 (_ tptp.mvalid (_ tptp.mbox_s4 (_ tptp.mforall_ind (lambda @t13 (_ (_ tptp.mbox_s4 (_ @t12 @t2)) @t11))))))
% 171.73/172.08  (assume @p14 (_ tptp.mvalid (_ tptp.mbox_s4 (_ tptp.mforall_ind (lambda @t13 (_ (_ tptp.mbox_s4 (_ tptp.mforall_ind (lambda @t17 (_ (_ tptp.mbox_s4 (_ (_ tptp.mimplies @t16) (_ tptp.mbox_s4 (_ @t15 @t2)))) @t11)))) @t11))))))
% 171.73/172.08  (assume @p15 (_ tptp.mvalid (_ tptp.mbox_s4 (_ tptp.mforall_ind (lambda @t13 (_ (_ tptp.mbox_s4 (_ tptp.mforall_ind (lambda @t17 (_ (_ tptp.mbox_s4 (_ tptp.mforall_ind (lambda (@list @t18 @t11) (_ (_ tptp.mbox_s4 (_ (_ tptp.mimplies (_ (_ tptp.mand @t16) (_ tptp.mbox_s4 (_ @t15 @t18)))) (_ tptp.mbox_s4 (_ @t12 @t18)))) @t11)))) @t11)))) @t11))))))
% 171.73/172.08  (assume @p16 (_ tptp.mvalid (_ tptp.mbox_s4 (_ tptp.mforall_ind (lambda @t23 (_ (_ tptp.mbox_s4 (_ tptp.mforall_ind (lambda @t22 (_ (_ tptp.mbox_s4 (_ @t21 (_ tptp.mbox_s4 (_ (_ tptp.qmltpeq (_ tptp.inv @t20)) (_ tptp.inv @t19))))) @t11)))) @t11))))))
% 171.73/172.08  (assume @p17 (_ tptp.mvalid (_ tptp.mbox_s4 (_ tptp.mforall_ind (lambda @t23 (_ (_ tptp.mbox_s4 (_ tptp.mforall_ind (lambda @t22 (_ (_ tptp.mbox_s4 (_ tptp.mforall_ind (lambda @t25 (_ (_ tptp.mbox_s4 (_ @t21 (_ tptp.mbox_s4 (_ (_ tptp.qmltpeq (_ (_ tptp.op @t20) @t24)) (_ (_ tptp.op @t19) @t24))))) @t11)))) @t11)))) @t11))))))
% 171.73/172.08  (assume @p18 (_ tptp.mvalid (_ tptp.mbox_s4 (_ tptp.mforall_ind (lambda @t23 (_ (_ tptp.mbox_s4 (_ tptp.mforall_ind (lambda @t22 (_ (_ tptp.mbox_s4 (_ tptp.mforall_ind (lambda @t25 (_ (_ tptp.mbox_s4 (_ @t21 (_ tptp.mbox_s4 (_ (_ tptp.qmltpeq (_ @t26 @t20)) (_ @t26 @t19))))) @t11)))) @t11)))) @t11))))))
% 171.73/172.08  (assume @p19 (_ tptp.mvalid (_ (_ tptp.mand (_ (_ tptp.mor @t94) (_ (_ tptp.mor @t92) (_ (_ tptp.mor @t90) @t88)))) (_ (_ tptp.mand (_ (_ tptp.mor (_ tptp.mbox_s4 (_ @t84 tptp.e0))) (_ (_ tptp.mor (_ tptp.mbox_s4 (_ @t84 tptp.e1))) (_ (_ tptp.mor (_ tptp.mbox_s4 (_ @t84 tptp.e2))) (_ tptp.mbox_s4 (_ @t84 tptp.e3)))))) (_ (_ tptp.mand (_ (_ tptp.mor (_ tptp.mbox_s4 (_ @t82 tptp.e0))) (_ (_ tptp.mor (_ tptp.mbox_s4 (_ @t82 tptp.e1))) (_ (_ tptp.mor (_ tptp.mbox_s4 (_ @t82 tptp.e2))) (_ tptp.mbox_s4 (_ @t82 tptp.e3)))))) (_ (_ tptp.mand (_ (_ tptp.mor (_ tptp.mbox_s4 (_ @t80 tptp.e0))) (_ (_ tptp.mor (_ tptp.mbox_s4 (_ @t80 tptp.e1))) (_ (_ tptp.mor (_ tptp.mbox_s4 (_ @t80 tptp.e2))) (_ tptp.mbox_s4 (_ @t80 tptp.e3)))))) (_ (_ tptp.mand (_ (_ tptp.mor (_ tptp.mbox_s4 (_ @t77 tptp.e0))) (_ (_ tptp.mor (_ tptp.mbox_s4 (_ @t77 tptp.e1))) (_ (_ tptp.mor (_ tptp.mbox_s4 (_ @t77 tptp.e2))) (_ tptp.mbox_s4 (_ @t77 tptp.e3)))))) (_ (_ tptp.mand (_ (_ tptp.mor @t75) (_ (_ tptp.mor @t73) (_ (_ tptp.mor @t71) @t69)))) (_ (_ tptp.mand (_ (_ tptp.mor (_ tptp.mbox_s4 (_ @t65 tptp.e0))) (_ (_ tptp.mor (_ tptp.mbox_s4 (_ @t65 tptp.e1))) (_ (_ tptp.mor (_ tptp.mbox_s4 (_ @t65 tptp.e2))) (_ tptp.mbox_s4 (_ @t65 tptp.e3)))))) (_ (_ tptp.mand (_ (_ tptp.mor (_ tptp.mbox_s4 (_ @t63 tptp.e0))) (_ (_ tptp.mor (_ tptp.mbox_s4 (_ @t63 tptp.e1))) (_ (_ tptp.mor (_ tptp.mbox_s4 (_ @t63 tptp.e2))) (_ tptp.mbox_s4 (_ @t63 tptp.e3)))))) (_ (_ tptp.mand (_ (_ tptp.mor (_ tptp.mbox_s4 (_ @t60 tptp.e0))) (_ (_ tptp.mor (_ tptp.mbox_s4 (_ @t60 tptp.e1))) (_ (_ tptp.mor (_ tptp.mbox_s4 (_ @t60 tptp.e2))) (_ tptp.mbox_s4 (_ @t60 tptp.e3)))))) (_ (_ tptp.mand (_ (_ tptp.mor (_ tptp.mbox_s4 (_ @t58 tptp.e0))) (_ (_ tptp.mor (_ tptp.mbox_s4 (_ @t58 tptp.e1))) (_ (_ tptp.mor (_ tptp.mbox_s4 (_ @t58 tptp.e2))) (_ tptp.mbox_s4 (_ @t58 tptp.e3)))))) (_ (_ tptp.mand (_ (_ tptp.mor @t56) (_ (_ tptp.mor @t54) (_ (_ tptp.mor @t52) @t50)))) (_ (_ tptp.mand (_ (_ tptp.mor (_ tptp.mbox_s4 (_ @t46 tptp.e0))) (_ (_ tptp.mor (_ tptp.mbox_s4 (_ @t46 tptp.e1))) (_ (_ tptp.mor (_ tptp.mbox_s4 (_ @t46 tptp.e2))) (_ tptp.mbox_s4 (_ @t46 tptp.e3)))))) (_ (_ tptp.mand (_ (_ tptp.mor (_ tptp.mbox_s4 (_ @t43 tptp.e0))) (_ (_ tptp.mor (_ tptp.mbox_s4 (_ @t43 tptp.e1))) (_ (_ tptp.mor (_ tptp.mbox_s4 (_ @t43 tptp.e2))) (_ tptp.mbox_s4 (_ @t43 tptp.e3)))))) (_ (_ tptp.mand (_ (_ tptp.mor (_ tptp.mbox_s4 (_ @t41 tptp.e0))) (_ (_ tptp.mor (_ tptp.mbox_s4 (_ @t41 tptp.e1))) (_ (_ tptp.mor (_ tptp.mbox_s4 (_ @t41 tptp.e2))) (_ tptp.mbox_s4 (_ @t41 tptp.e3)))))) (_ (_ tptp.mand (_ (_ tptp.mor (_ tptp.mbox_s4 (_ @t39 tptp.e0))) (_ (_ tptp.mor (_ tptp.mbox_s4 (_ @t39 tptp.e1))) (_ (_ tptp.mor (_ tptp.mbox_s4 (_ @t39 tptp.e2))) (_ tptp.mbox_s4 (_ @t39 tptp.e3)))))) (_ (_ tptp.mor @t37) (_ (_ tptp.mor @t35) (_ (_ tptp.mor @t33) @t31))))))))))))))))))))
% 171.73/172.08  (assume @p20 (_ tptp.mvalid (_ (_ tptp.mand (_ tptp.mbox_s4 (_ (_ tptp.qmltpeq (_ @t110 tptp.e0)) (_ @t78 @t85)))) (_ (_ tptp.mand (_ tptp.mbox_s4 (_ (_ tptp.qmltpeq (_ @t110 tptp.e1)) (_ @t78 @t83)))) (_ (_ tptp.mand (_ tptp.mbox_s4 (_ (_ tptp.qmltpeq (_ @t110 tptp.e2)) (_ @t78 @t81)))) (_ (_ tptp.mand (_ tptp.mbox_s4 (_ (_ tptp.qmltpeq (_ @t110 tptp.e3)) (_ @t78 @t79)))) (_ (_ tptp.mand (_ tptp.mbox_s4 (_ (_ tptp.qmltpeq (_ @t109 tptp.e0)) (_ @t78 @t76)))) (_ (_ tptp.mand (_ tptp.mbox_s4 (_ (_ tptp.qmltpeq (_ @t109 tptp.e1)) (_ @t78 @t66)))) (_ (_ tptp.mand (_ tptp.mbox_s4 (_ (_ tptp.qmltpeq (_ @t109 tptp.e2)) (_ @t78 @t64)))) (_ (_ tptp.mand (_ tptp.mbox_s4 (_ (_ tptp.qmltpeq (_ @t109 tptp.e3)) (_ @t78 @t62)))) (_ (_ tptp.mand (_ tptp.mbox_s4 (_ (_ tptp.qmltpeq (_ @t108 tptp.e0)) (_ @t78 @t59)))) (_ (_ tptp.mand (_ tptp.mbox_s4 (_ (_ tptp.qmltpeq (_ @t108 tptp.e1)) (_ @t78 @t57)))) (_ (_ tptp.mand (_ tptp.mbox_s4 (_ (_ tptp.qmltpeq (_ @t108 tptp.e2)) (_ @t78 @t47)))) (_ (_ tptp.mand (_ tptp.mbox_s4 (_ (_ tptp.qmltpeq (_ @t108 tptp.e3)) (_ @t78 @t45)))) (_ (_ tptp.mand (_ tptp.mbox_s4 (_ (_ tptp.qmltpeq (_ @t107 tptp.e0)) (_ @t78 @t42)))) (_ (_ tptp.mand (_ tptp.mbox_s4 (_ (_ tptp.qmltpeq (_ @t107 tptp.e1)) (_ @t78 @t40)))) (_ (_ tptp.mand (_ tptp.mbox_s4 (_ (_ tptp.qmltpeq (_ @t107 tptp.e2)) (_ @t78 @t38)))) (_ (_ tptp.mand (_ tptp.mbox_s4 (_ (_ tptp.qmltpeq (_ @t107 tptp.e3)) (_ @t78 @t28)))) (_ (_ tptp.mand (_ tptp.mbox_s4 (_ (_ tptp.qmltpeq (_ @t106 tptp.e0)) (_ @t61 @t85)))) (_ (_ tptp.mand (_ tptp.mbox_s4 (_ (_ tptp.qmltpeq (_ @t106 tptp.e1)) (_ @t61 @t83)))) (_ (_ tptp.mand (_ tptp.mbox_s4 (_ (_ tptp.qmltpeq (_ @t106 tptp.e2)) (_ @t61 @t81)))) (_ (_ tptp.mand (_ tptp.mbox_s4 (_ (_ tptp.qmltpeq (_ @t106 tptp.e3)) (_ @t61 @t79)))) (_ (_ tptp.mand (_ tptp.mbox_s4 (_ (_ tptp.qmltpeq (_ @t105 tptp.e0)) (_ @t61 @t76)))) (_ (_ tptp.mand (_ tptp.mbox_s4 (_ (_ tptp.qmltpeq (_ @t105 tptp.e1)) (_ @t61 @t66)))) (_ (_ tptp.mand (_ tptp.mbox_s4 (_ (_ tptp.qmltpeq (_ @t105 tptp.e2)) (_ @t61 @t64)))) (_ (_ tptp.mand (_ tptp.mbox_s4 (_ (_ tptp.qmltpeq (_ @t105 tptp.e3)) (_ @t61 @t62)))) (_ (_ tptp.mand (_ tptp.mbox_s4 (_ (_ tptp.qmltpeq (_ @t104 tptp.e0)) (_ @t61 @t59)))) (_ (_ tptp.mand (_ tptp.mbox_s4 (_ (_ tptp.qmltpeq (_ @t104 tptp.e1)) (_ @t61 @t57)))) (_ (_ tptp.mand (_ tptp.mbox_s4 (_ (_ tptp.qmltpeq (_ @t104 tptp.e2)) (_ @t61 @t47)))) (_ (_ tptp.mand (_ tptp.mbox_s4 (_ (_ tptp.qmltpeq (_ @t104 tptp.e3)) (_ @t61 @t45)))) (_ (_ tptp.mand (_ tptp.mbox_s4 (_ (_ tptp.qmltpeq (_ @t103 tptp.e0)) (_ @t61 @t42)))) (_ (_ tptp.mand (_ tptp.mbox_s4 (_ (_ tptp.qmltpeq (_ @t103 tptp.e1)) (_ @t61 @t40)))) (_ (_ tptp.mand (_ tptp.mbox_s4 (_ (_ tptp.qmltpeq (_ @t103 tptp.e2)) (_ @t61 @t38)))) (_ (_ tptp.mand (_ tptp.mbox_s4 (_ (_ tptp.qmltpeq (_ @t103 tptp.e3)) (_ @t61 @t28)))) (_ (_ tptp.mand (_ tptp.mbox_s4 (_ (_ tptp.qmltpeq (_ @t102 tptp.e0)) (_ @t44 @t85)))) (_ (_ tptp.mand (_ tptp.mbox_s4 (_ (_ tptp.qmltpeq (_ @t102 tptp.e1)) (_ @t44 @t83)))) (_ (_ tptp.mand (_ tptp.mbox_s4 (_ (_ tptp.qmltpeq (_ @t102 tptp.e2)) (_ @t44 @t81)))) (_ (_ tptp.mand (_ tptp.mbox_s4 (_ (_ tptp.qmltpeq (_ @t102 tptp.e3)) (_ @t44 @t79)))) (_ (_ tptp.mand (_ tptp.mbox_s4 (_ (_ tptp.qmltpeq (_ @t101 tptp.e0)) (_ @t44 @t76)))) (_ (_ tptp.mand (_ tptp.mbox_s4 (_ (_ tptp.qmltpeq (_ @t101 tptp.e1)) (_ @t44 @t66)))) (_ (_ tptp.mand (_ tptp.mbox_s4 (_ (_ tptp.qmltpeq (_ @t101 tptp.e2)) (_ @t44 @t64)))) (_ (_ tptp.mand (_ tptp.mbox_s4 (_ (_ tptp.qmltpeq (_ @t101 tptp.e3)) (_ @t44 @t62)))) (_ (_ tptp.mand (_ tptp.mbox_s4 (_ (_ tptp.qmltpeq (_ @t100 tptp.e0)) (_ @t44 @t59)))) (_ (_ tptp.mand (_ tptp.mbox_s4 (_ (_ tptp.qmltpeq (_ @t100 tptp.e1)) (_ @t44 @t57)))) (_ (_ tptp.mand (_ tptp.mbox_s4 (_ (_ tptp.qmltpeq (_ @t100 tptp.e2)) (_ @t44 @t47)))) (_ (_ tptp.mand (_ tptp.mbox_s4 (_ (_ tptp.qmltpeq (_ @t100 tptp.e3)) (_ @t44 @t45)))) (_ (_ tptp.mand (_ tptp.mbox_s4 (_ (_ tptp.qmltpeq (_ @t99 tptp.e0)) (_ @t44 @t42)))) (_ (_ tptp.mand (_ tptp.mbox_s4 (_ (_ tptp.qmltpeq (_ @t99 tptp.e1)) (_ @t44 @t40)))) (_ (_ tptp.mand (_ tptp.mbox_s4 (_ (_ tptp.qmltpeq (_ @t99 tptp.e2)) (_ @t44 @t38)))) (_ (_ tptp.mand (_ tptp.mbox_s4 (_ (_ tptp.qmltpeq (_ @t99 tptp.e3)) (_ @t44 @t28)))) (_ (_ tptp.mand (_ tptp.mbox_s4 (_ (_ tptp.qmltpeq (_ @t98 tptp.e0)) (_ @t27 @t85)))) (_ (_ tptp.mand (_ tptp.mbox_s4 (_ (_ tptp.qmltpeq (_ @t98 tptp.e1)) (_ @t27 @t83)))) (_ (_ tptp.mand (_ tptp.mbox_s4 (_ (_ tptp.qmltpeq (_ @t98 tptp.e2)) (_ @t27 @t81)))) (_ (_ tptp.mand (_ tptp.mbox_s4 (_ (_ tptp.qmltpeq (_ @t98 tptp.e3)) (_ @t27 @t79)))) (_ (_ tptp.mand (_ tptp.mbox_s4 (_ (_ tptp.qmltpeq (_ @t97 tptp.e0)) (_ @t27 @t76)))) (_ (_ tptp.mand (_ tptp.mbox_s4 (_ (_ tptp.qmltpeq (_ @t97 tptp.e1)) (_ @t27 @t66)))) (_ (_ tptp.mand (_ tptp.mbox_s4 (_ (_ tptp.qmltpeq (_ @t97 tptp.e2)) (_ @t27 @t64)))) (_ (_ tptp.mand (_ tptp.mbox_s4 (_ (_ tptp.qmltpeq (_ @t97 tptp.e3)) (_ @t27 @t62)))) (_ (_ tptp.mand (_ tptp.mbox_s4 (_ (_ tptp.qmltpeq (_ @t96 tptp.e0)) (_ @t27 @t59)))) (_ (_ tptp.mand (_ tptp.mbox_s4 (_ (_ tptp.qmltpeq (_ @t96 tptp.e1)) (_ @t27 @t57)))) (_ (_ tptp.mand (_ tptp.mbox_s4 (_ (_ tptp.qmltpeq (_ @t96 tptp.e2)) (_ @t27 @t47)))) (_ (_ tptp.mand (_ tptp.mbox_s4 (_ (_ tptp.qmltpeq (_ @t96 tptp.e3)) (_ @t27 @t45)))) (_ (_ tptp.mand (_ tptp.mbox_s4 (_ (_ tptp.qmltpeq (_ @t95 tptp.e0)) (_ @t27 @t42)))) (_ (_ tptp.mand (_ tptp.mbox_s4 (_ (_ tptp.qmltpeq (_ @t95 tptp.e1)) (_ @t27 @t40)))) (_ (_ tptp.mand (_ tptp.mbox_s4 (_ (_ tptp.qmltpeq (_ @t95 tptp.e2)) (_ @t27 @t38)))) (_ tptp.mbox_s4 (_ (_ tptp.qmltpeq (_ @t95 tptp.e3)) (_ @t27 @t28))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 171.73/172.08  (assume @p21 (_ tptp.mvalid (_ (_ tptp.mand (_ tptp.mbox_s4 (_ (_ tptp.qmltpeq (_ @t112 tptp.e0)) tptp.e0))) (_ (_ tptp.mand (_ tptp.mbox_s4 (_ (_ tptp.qmltpeq (_ @t78 tptp.unit)) tptp.e0))) (_ (_ tptp.mand (_ tptp.mbox_s4 (_ (_ tptp.qmltpeq (_ @t112 tptp.e1)) tptp.e1))) (_ (_ tptp.mand (_ tptp.mbox_s4 (_ (_ tptp.qmltpeq (_ @t61 tptp.unit)) tptp.e1))) (_ (_ tptp.mand (_ tptp.mbox_s4 (_ (_ tptp.qmltpeq (_ @t112 tptp.e2)) tptp.e2))) (_ (_ tptp.mand (_ tptp.mbox_s4 (_ (_ tptp.qmltpeq (_ @t44 tptp.unit)) tptp.e2))) (_ (_ tptp.mand (_ tptp.mbox_s4 (_ (_ tptp.qmltpeq (_ @t112 tptp.e3)) tptp.e3))) (_ (_ tptp.mand (_ tptp.mbox_s4 (_ (_ tptp.qmltpeq (_ @t27 tptp.unit)) tptp.e3))) (_ (_ tptp.mor (_ tptp.mbox_s4 (_ @t111 tptp.e0))) (_ (_ tptp.mor (_ tptp.mbox_s4 (_ @t111 tptp.e1))) (_ (_ tptp.mor (_ tptp.mbox_s4 (_ @t111 tptp.e2))) (_ tptp.mbox_s4 (_ @t111 tptp.e3)))))))))))))))
% 171.73/172.08  (assume @p22 (_ tptp.mvalid (_ (_ tptp.mand (_ tptp.mbox_s4 (_ (_ tptp.qmltpeq (_ @t78 @t131)) tptp.unit))) (_ (_ tptp.mand (_ tptp.mbox_s4 (_ (_ tptp.qmltpeq (_ (_ tptp.op @t131) tptp.e0)) tptp.unit))) (_ (_ tptp.mand (_ tptp.mbox_s4 (_ (_ tptp.qmltpeq (_ @t61 @t125)) tptp.unit))) (_ (_ tptp.mand (_ tptp.mbox_s4 (_ (_ tptp.qmltpeq (_ (_ tptp.op @t125) tptp.e1)) tptp.unit))) (_ (_ tptp.mand (_ tptp.mbox_s4 (_ (_ tptp.qmltpeq (_ @t44 @t119)) tptp.unit))) (_ (_ tptp.mand (_ tptp.mbox_s4 (_ (_ tptp.qmltpeq (_ (_ tptp.op @t119) tptp.e2)) tptp.unit))) (_ (_ tptp.mand (_ tptp.mbox_s4 (_ (_ tptp.qmltpeq (_ @t27 @t113)) tptp.unit))) (_ (_ tptp.mand (_ tptp.mbox_s4 (_ (_ tptp.qmltpeq (_ (_ tptp.op @t113) tptp.e3)) tptp.unit))) (_ (_ tptp.mand (_ (_ tptp.mor @t136) (_ (_ tptp.mor @t135) (_ (_ tptp.mor @t134) @t133)))) (_ (_ tptp.mand (_ (_ tptp.mor @t130) (_ (_ tptp.mor @t129) (_ (_ tptp.mor @t128) @t127)))) (_ (_ tptp.mand (_ (_ tptp.mor @t124) (_ (_ tptp.mor @t123) (_ (_ tptp.mor @t122) @t121)))) (_ (_ tptp.mor @t118) (_ (_ tptp.mor @t117) (_ (_ tptp.mor @t116) @t115))))))))))))))))
% 171.73/172.08  (assume @p23 (_ tptp.mvalid (_ tptp.mbox_s4 (_ (_ tptp.qmltpeq (_ tptp.inv tptp.unit)) tptp.unit))))
% 171.73/172.08  (assume @p24 (_ tptp.mvalid (_ (_ tptp.mand (_ tptp.mbox_s4 (_ (_ tptp.qmltpeq (_ tptp.inv @t131)) tptp.e0))) (_ (_ tptp.mand (_ tptp.mbox_s4 (_ (_ tptp.qmltpeq (_ tptp.inv @t125)) tptp.e1))) (_ (_ tptp.mand (_ tptp.mbox_s4 (_ (_ tptp.qmltpeq (_ tptp.inv @t119)) tptp.e2))) (_ tptp.mbox_s4 (_ (_ tptp.qmltpeq (_ tptp.inv @t113)) tptp.e3)))))))
% 171.73/172.08  (assume @p25 (_ tptp.mvalid (_ (_ tptp.mand (_ tptp.mbox_s4 (_ (_ tptp.mimplies @t136) @t136))) (_ (_ tptp.mand (_ tptp.mbox_s4 (_ (_ tptp.mimplies @t135) @t130))) (_ (_ tptp.mand (_ tptp.mbox_s4 (_ (_ tptp.mimplies @t134) @t124))) (_ (_ tptp.mand (_ tptp.mbox_s4 (_ (_ tptp.mimplies @t133) @t118))) (_ (_ tptp.mand (_ tptp.mbox_s4 (_ (_ tptp.mimplies @t130) @t135))) (_ (_ tptp.mand (_ tptp.mbox_s4 (_ (_ tptp.mimplies @t129) @t129))) (_ (_ tptp.mand (_ tptp.mbox_s4 (_ (_ tptp.mimplies @t128) @t123))) (_ (_ tptp.mand (_ tptp.mbox_s4 (_ (_ tptp.mimplies @t127) @t117))) (_ (_ tptp.mand (_ tptp.mbox_s4 (_ (_ tptp.mimplies @t124) @t134))) (_ (_ tptp.mand (_ tptp.mbox_s4 (_ (_ tptp.mimplies @t123) @t128))) (_ (_ tptp.mand (_ tptp.mbox_s4 (_ (_ tptp.mimplies @t122) @t122))) (_ (_ tptp.mand (_ tptp.mbox_s4 (_ (_ tptp.mimplies @t121) @t116))) (_ (_ tptp.mand (_ tptp.mbox_s4 (_ (_ tptp.mimplies @t118) @t133))) (_ (_ tptp.mand (_ tptp.mbox_s4 (_ (_ tptp.mimplies @t117) @t127))) (_ (_ tptp.mand (_ tptp.mbox_s4 (_ (_ tptp.mimplies @t116) @t121))) (_ tptp.mbox_s4 (_ (_ tptp.mimplies @t115) @t115)))))))))))))))))))
% 171.73/172.08  (assume @p26 (_ tptp.mvalid (_ (_ tptp.mand (_ tptp.mbox_s4 (_ tptp.mnot (_ tptp.mbox_s4 (_ @t132 @t125))))) (_ (_ tptp.mand (_ tptp.mbox_s4 (_ tptp.mnot (_ tptp.mbox_s4 (_ @t132 @t119))))) (_ (_ tptp.mand (_ tptp.mbox_s4 (_ tptp.mnot (_ tptp.mbox_s4 (_ @t132 @t113))))) (_ (_ tptp.mand (_ tptp.mbox_s4 (_ tptp.mnot (_ tptp.mbox_s4 (_ @t126 @t119))))) (_ (_ tptp.mand (_ tptp.mbox_s4 (_ tptp.mnot (_ tptp.mbox_s4 (_ @t126 @t113))))) (_ tptp.mbox_s4 (_ tptp.mnot (_ tptp.mbox_s4 (_ @t120 @t113)))))))))))
% 171.73/172.08  (assume @p27 (_ tptp.mvalid (_ (_ tptp.mand (_ tptp.mbox_s4 (_ tptp.mnot (_ tptp.mbox_s4 (_ @t86 @t76))))) (_ (_ tptp.mand (_ tptp.mbox_s4 (_ tptp.mnot (_ tptp.mbox_s4 (_ @t86 @t59))))) (_ (_ tptp.mand (_ tptp.mbox_s4 (_ tptp.mnot (_ tptp.mbox_s4 (_ @t86 @t42))))) (_ (_ tptp.mand (_ tptp.mbox_s4 (_ tptp.mnot (_ tptp.mbox_s4 (_ @t77 @t59))))) (_ (_ tptp.mand (_ tptp.mbox_s4 (_ tptp.mnot (_ tptp.mbox_s4 (_ @t77 @t42))))) (_ (_ tptp.mand (_ tptp.mbox_s4 (_ tptp.mnot (_ tptp.mbox_s4 (_ @t60 @t42))))) (_ (_ tptp.mand (_ tptp.mbox_s4 (_ tptp.mnot (_ tptp.mbox_s4 (_ @t84 @t66))))) (_ (_ tptp.mand (_ tptp.mbox_s4 (_ tptp.mnot (_ tptp.mbox_s4 (_ @t84 @t57))))) (_ (_ tptp.mand (_ tptp.mbox_s4 (_ tptp.mnot (_ tptp.mbox_s4 (_ @t84 @t40))))) (_ (_ tptp.mand (_ tptp.mbox_s4 (_ tptp.mnot (_ tptp.mbox_s4 (_ @t67 @t57))))) (_ (_ tptp.mand (_ tptp.mbox_s4 (_ tptp.mnot (_ tptp.mbox_s4 (_ @t67 @t40))))) (_ (_ tptp.mand (_ tptp.mbox_s4 (_ tptp.mnot (_ tptp.mbox_s4 (_ @t58 @t40))))) (_ (_ tptp.mand (_ tptp.mbox_s4 (_ tptp.mnot (_ tptp.mbox_s4 (_ @t82 @t64))))) (_ (_ tptp.mand (_ tptp.mbox_s4 (_ tptp.mnot (_ tptp.mbox_s4 (_ @t82 @t47))))) (_ (_ tptp.mand (_ tptp.mbox_s4 (_ tptp.mnot (_ tptp.mbox_s4 (_ @t82 @t38))))) (_ (_ tptp.mand (_ tptp.mbox_s4 (_ tptp.mnot (_ tptp.mbox_s4 (_ @t65 @t47))))) (_ (_ tptp.mand (_ tptp.mbox_s4 (_ tptp.mnot (_ tptp.mbox_s4 (_ @t65 @t38))))) (_ (_ tptp.mand (_ tptp.mbox_s4 (_ tptp.mnot (_ tptp.mbox_s4 (_ @t48 @t38))))) (_ (_ tptp.mand (_ tptp.mbox_s4 (_ tptp.mnot (_ tptp.mbox_s4 (_ @t80 @t62))))) (_ (_ tptp.mand (_ tptp.mbox_s4 (_ tptp.mnot (_ tptp.mbox_s4 (_ @t80 @t45))))) (_ (_ tptp.mand (_ tptp.mbox_s4 (_ tptp.mnot (_ tptp.mbox_s4 (_ @t80 @t28))))) (_ (_ tptp.mand (_ tptp.mbox_s4 (_ tptp.mnot (_ tptp.mbox_s4 (_ @t63 @t45))))) (_ (_ tptp.mand (_ tptp.mbox_s4 (_ tptp.mnot (_ tptp.mbox_s4 (_ @t63 @t28))))) (_ (_ tptp.mand (_ tptp.mbox_s4 (_ tptp.mnot (_ tptp.mbox_s4 (_ @t46 @t28))))) (_ (_ tptp.mand (_ tptp.mbox_s4 (_ tptp.mnot (_ tptp.mbox_s4 (_ @t86 @t83))))) (_ (_ tptp.mand (_ tptp.mbox_s4 (_ tptp.mnot (_ tptp.mbox_s4 (_ @t86 @t81))))) (_ (_ tptp.mand (_ tptp.mbox_s4 (_ tptp.mnot (_ tptp.mbox_s4 (_ @t86 @t79))))) (_ (_ tptp.mand (_ tptp.mbox_s4 (_ tptp.mnot (_ tptp.mbox_s4 (_ @t84 @t81))))) (_ (_ tptp.mand (_ tptp.mbox_s4 (_ tptp.mnot (_ tptp.mbox_s4 (_ @t84 @t79))))) (_ (_ tptp.mand (_ tptp.mbox_s4 (_ tptp.mnot (_ tptp.mbox_s4 (_ @t82 @t79))))) (_ (_ tptp.mand (_ tptp.mbox_s4 (_ tptp.mnot (_ tptp.mbox_s4 (_ @t77 @t66))))) (_ (_ tptp.mand (_ tptp.mbox_s4 (_ tptp.mnot (_ tptp.mbox_s4 (_ @t77 @t64))))) (_ (_ tptp.mand (_ tptp.mbox_s4 (_ tptp.mnot (_ tptp.mbox_s4 (_ @t77 @t62))))) (_ (_ tptp.mand (_ tptp.mbox_s4 (_ tptp.mnot (_ tptp.mbox_s4 (_ @t67 @t64))))) (_ (_ tptp.mand (_ tptp.mbox_s4 (_ tptp.mnot (_ tptp.mbox_s4 (_ @t67 @t62))))) (_ (_ tptp.mand (_ tptp.mbox_s4 (_ tptp.mnot (_ tptp.mbox_s4 (_ @t65 @t62))))) (_ (_ tptp.mand (_ tptp.mbox_s4 (_ tptp.mnot (_ tptp.mbox_s4 (_ @t60 @t57))))) (_ (_ tptp.mand (_ tptp.mbox_s4 (_ tptp.mnot (_ tptp.mbox_s4 (_ @t60 @t47))))) (_ (_ tptp.mand (_ tptp.mbox_s4 (_ tptp.mnot (_ tptp.mbox_s4 (_ @t60 @t45))))) (_ (_ tptp.mand (_ tptp.mbox_s4 (_ tptp.mnot (_ tptp.mbox_s4 (_ @t58 @t47))))) (_ (_ tptp.mand (_ tptp.mbox_s4 (_ tptp.mnot (_ tptp.mbox_s4 (_ @t58 @t45))))) (_ (_ tptp.mand (_ tptp.mbox_s4 (_ tptp.mnot (_ tptp.mbox_s4 (_ @t48 @t45))))) (_ (_ tptp.mand (_ tptp.mbox_s4 (_ tptp.mnot (_ tptp.mbox_s4 (_ @t43 @t40))))) (_ (_ tptp.mand (_ tptp.mbox_s4 (_ tptp.mnot (_ tptp.mbox_s4 (_ @t43 @t38))))) (_ (_ tptp.mand (_ tptp.mbox_s4 (_ tptp.mnot (_ tptp.mbox_s4 (_ @t43 @t28))))) (_ (_ tptp.mand (_ tptp.mbox_s4 (_ tptp.mnot (_ tptp.mbox_s4 (_ @t41 @t38))))) (_ (_ tptp.mand (_ tptp.mbox_s4 (_ tptp.mnot (_ tptp.mbox_s4 (_ @t41 @t28))))) (_ tptp.mbox_s4 (_ tptp.mnot (_ tptp.mbox_s4 (_ @t39 @t28)))))))))))))))))))))))))))))))))))))))))))))))))))))
% 171.73/172.08  (assume @p28 (_ tptp.mvalid (_ (_ tptp.mand (_ tptp.mbox_s4 (_ tptp.mnot (_ tptp.mbox_s4 (_ @t138 tptp.e1))))) (_ (_ tptp.mand (_ tptp.mbox_s4 (_ tptp.mnot (_ tptp.mbox_s4 (_ @t138 tptp.e2))))) (_ (_ tptp.mand (_ tptp.mbox_s4 (_ tptp.mnot (_ tptp.mbox_s4 (_ @t138 tptp.e3))))) (_ (_ tptp.mand (_ tptp.mbox_s4 (_ tptp.mnot (_ tptp.mbox_s4 (_ @t137 tptp.e2))))) (_ (_ tptp.mand (_ tptp.mbox_s4 (_ tptp.mnot (_ tptp.mbox_s4 (_ @t137 tptp.e3))))) (_ tptp.mbox_s4 (_ tptp.mnot (_ tptp.mbox_s4 (_ (_ tptp.qmltpeq tptp.e2) tptp.e3)))))))))))
% 171.73/172.08  (assume @p29 (_ tptp.mvalid (_ (_ tptp.mand (_ tptp.mbox_s4 (_ @t138 @t28))) (_ tptp.mbox_s4 (_ @t137 @t45)))))
% 171.73/172.08  (assume @p30 @t140)
% 171.73/172.08  (assume @p31 true)
% 171.73/172.08  (step @p32 (= tptp.meq_prop @t143) :rule refl :args (@t143))
% 171.73/172.08  (step @p33 (= tptp.mnot @t148) :rule refl :args (@t148))
% 171.73/172.08  (step @p34 (= tptp.mor @t151) :rule refl :args (@t151))
% 171.73/172.08  (step @p35 (= tptp.mbox @t154) :rule refl :args (@t154))
% 171.73/172.08  (step @p36 (= tptp.mforall_prop @t158) :rule refl :args (@t158))
% 171.73/172.08  (step @p37 (= tptp.mtrue @t160) :rule refl :args (@t160))
% 171.73/172.08  (step @p38 (= tptp.mand @t165) :rule refl :args (@t165))
% 171.73/172.08  (step @p39 (= tptp.mimplies @t166) :rule refl :args (@t166))
% 171.73/172.08  (step @p40 (= tptp.mimplied @t167) :rule refl :args (@t167))
% 171.73/172.08  (step @p41 (= tptp.mequiv @t168) :rule refl :args (@t168))
% 171.73/172.08  (step @p42 (= tptp.mxor @t169) :rule refl :args (@t169))
% 171.73/172.08  (step @p43 (= tptp.mdia @t170) :rule refl :args (@t170))
% 171.73/172.08  (step @p44 (= tptp.mforall_ind @t173) :rule refl :args (@t173))
% 171.73/172.08  (step @p45 (= tptp.mexists_ind @t174) :rule refl :args (@t174))
% 171.73/172.08  (step @p46 (= tptp.mexists_prop @t175) :rule refl :args (@t175))
% 171.73/172.08  (step @p47 (= tptp.mreflexive @t182) :rule refl :args (@t182))
% 171.73/172.08  (step @p48 (= tptp.msymmetric @t186) :rule refl :args (@t186))
% 171.73/172.08  (step @p49 (= tptp.mserial @t188) :rule refl :args (@t188))
% 171.73/172.08  (step @p50 (= tptp.mtransitive @t193) :rule refl :args (@t193))
% 171.73/172.08  (step @p51 (= tptp.meuclidean @t195) :rule refl :args (@t195))
% 171.73/172.08  (step @p52 (= tptp.mpartially_functional @t197) :rule refl :args (@t197))
% 171.73/172.08  (step @p53 (= tptp.mfunctional @t199) :rule refl :args (@t199))
% 171.73/172.08  (step @p54 (= tptp.mweakly_dense @t202) :rule refl :args (@t202))
% 171.73/172.08  (step @p55 (= tptp.mweakly_connected @t203) :rule refl :args (@t203))
% 171.73/172.08  (step @p56 (= tptp.mweakly_directed @t204) :rule refl :args (@t204))
% 171.73/172.08  (step @p57 (= tptp.mvalid @t207) :rule refl :args (@t207))
% 171.73/172.08  (step @p58 (= tptp.msatisfiable @t208) :rule refl :args (@t208))
% 171.73/172.08  (step @p59 (= tptp.mcountersatisfiable @t209) :rule refl :args (@t209))
% 171.73/172.08  (step @p60 (= tptp.minvalid @t210) :rule refl :args (@t210))
% 171.73/172.08  (step @p61 (= tptp.mbox_s4 @t215) :rule refl :args (@t215))
% 171.73/172.08  (step @p62 (= tptp.mdia_s4 @t216) :rule refl :args (@t216))
% 171.73/172.08  ; WARNING: add trust step for TRUST
% 171.73/172.08  ; trust TRUST PREPROCESS_HO_ELIM
% 171.73/172.08  (step @p63 :rule trust :premises () :args ((= (not @t394) (not @t348))))
% 171.73/172.08  (step @p64 :rule quant-merge-prenex :args ((= (forall @t159 @t395) @t394)))
% 171.73/172.08  (step @p65 :rule beta-reduce :args ((= @t397 @t395)))
% 171.73/172.08  (step @p66 :rule cong :premises (@p65) :args (@t398))
% 171.73/172.08  (step @p67 :rule trans :premises (@p66 @p64))
% 171.73/172.08  (step @p68 :rule beta-reduce :args ((= (_ @t400 @t396) @t398)))
% 171.73/172.08  (step @p69 :rule trans :premises (@p68 @p67))
% 171.73/172.08  (step @p70 :rule refl :args (@t370))
% 171.73/172.08  (step @p71 :rule bool-double-not-elim :args (@t375))
% 171.73/172.08  (step @p72 :rule bool-double-not-elim :args (@t380))
% 171.73/172.08  (step @p73 :rule bool-double-not-elim :args (@t385))
% 171.73/172.08  (step @p74 :rule bool-double-not-elim :args (@t390))
% 171.73/172.08  (step @p75 :rule nary_cong :premises (@p74 @p73 @p72 @p71) :args (@t409))
% 171.73/172.08  (step @p76 :rule aci_norm :args ((= (and @t408 (and @t406 (and @t404 @t402))) @t409)))
% 171.73/172.08  (step @p77 :rule trans :premises (@p76 @p75))
% 171.73/172.08  (step @p78 :rule bool-or-de-morgan :args (@t403 @t401 false))
% 171.73/172.08  (step @p79 :rule refl :args (@t406))
% 171.73/172.08  (step @p80 :rule nary_cong :premises (@p79 @p78) :args ((and @t406 (not (or @t403 @t401)))))
% 171.73/172.08  (step @p81 :rule bool-or-de-morgan :args (@t405 @t403 (or @t401)))
% 171.73/172.08  (step @p82 :rule trans :premises (@p81 @p80))
% 171.73/172.08  (step @p83 :rule refl :args (@t408))
% 171.73/172.08  (step @p84 :rule nary_cong :premises (@p83 @p82) :args ((and @t408 (not (or @t405 @t403 @t401)))))
% 171.73/172.08  (step @p85 :rule bool-or-de-morgan :args (@t407 @t405 (or @t403 @t401)))
% 171.73/172.08  (step @p86 :rule trans :premises (@p85 @p84))
% 171.73/172.08  (step @p87 :rule trans :premises (@p86 @p77))
% 171.73/172.08  (step @p88 :rule refl :args (@t392))
% 171.73/172.08  (step @p89 :rule nary_cong :premises (@p88 @p87 @p70) :args (@t411))
% 171.73/172.08  (step @p90 :rule cong :premises (@p89) :args ((forall @t6 @t411)))
% 171.73/172.08  (step @p91 :rule aci_norm :args ((= (or @t392 @t412) @t411)))
% 171.73/172.08  (step @p92 :rule beta-reduce :args ((= (_ (lambda @t159 (or (not (or (not (or (not (forall @t346 (or (not (tptp.rel_s4 @t7 @t344)) @t389))) (not (forall @t343 (or (not (tptp.rel_s4 @t7 @t341)) @t388))) (not (forall @t340 (or (not (tptp.rel_s4 @t7 @t338)) @t387))) (not (forall @t337 (or (not (tptp.rel_s4 @t7 @t335)) @t386))))) (not (or (not (forall @t334 (or (not (tptp.rel_s4 @t7 @t332)) @t384))) (not (forall @t331 (or (not (tptp.rel_s4 @t7 @t329)) @t383))) (not (forall @t328 (or (not (tptp.rel_s4 @t7 @t326)) @t382))) (not (forall @t325 (or (not (tptp.rel_s4 @t7 @t323)) @t381))))) (not (or (not (forall @t322 (or (not (tptp.rel_s4 @t7 @t320)) @t379))) (not (forall @t319 (or (not (tptp.rel_s4 @t7 @t317)) @t378))) (not (forall @t316 (or (not (tptp.rel_s4 @t7 @t314)) @t377))) (not (forall @t313 (or (not (tptp.rel_s4 @t7 @t311)) @t376))))) (not (or (not (forall @t310 (or (not (tptp.rel_s4 @t7 @t308)) @t374))) (not (forall @t307 (or (not (tptp.rel_s4 @t7 @t305)) @t373))) (not (forall @t304 (or (not (tptp.rel_s4 @t7 @t302)) @t372))) (not (forall @t301 (or (not (tptp.rel_s4 @t7 @t299)) @t371))))))) (not (forall @t298 (or (not (tptp.rel_s4 @t7 @t228)) @t369))))) @t1) @t412)))
% 171.73/172.08  (step @p93 :rule refl :args (@t1))
% 171.73/172.08  (step @p94 :rule alpha_equiv :args (@t418 @t419 (@list @t228)))
% 171.73/172.08  (step @p95 :rule cong :premises (@p94) :args (@t420))
% 171.73/172.08  (step @p96 :rule alpha_equiv :args (@t422 @t419 @t423))
% 171.73/172.08  (step @p97 :rule cong :premises (@p96) :args (@t424))
% 171.73/172.08  (step @p98 :rule alpha_equiv :args (@t426 @t419 @t427))
% 171.73/172.08  (step @p99 :rule cong :premises (@p98) :args (@t428))
% 171.73/172.08  (step @p100 :rule alpha_equiv :args (@t430 @t419 @t431))
% 171.73/172.08  (step @p101 :rule cong :premises (@p100) :args (@t432))
% 171.73/172.08  (step @p102 :rule alpha_equiv :args (@t434 @t419 @t435))
% 171.73/172.08  (step @p103 :rule cong :premises (@p102) :args (@t436))
% 171.73/172.08  (step @p104 :rule nary_cong :premises (@p103 @p101 @p99 @p97) :args (@t437))
% 171.73/172.08  (step @p105 :rule cong :premises (@p104) :args (@t438))
% 171.73/172.08  (step @p106 :rule alpha_equiv :args (@t440 @t419 @t441))
% 171.73/172.08  (step @p107 :rule cong :premises (@p106) :args (@t442))
% 171.73/172.08  (step @p108 :rule alpha_equiv :args (@t444 @t419 @t445))
% 171.73/172.08  (step @p109 :rule cong :premises (@p108) :args (@t446))
% 171.73/172.08  (step @p110 :rule alpha_equiv :args (@t448 @t419 @t449))
% 171.73/172.08  (step @p111 :rule cong :premises (@p110) :args (@t450))
% 171.73/172.08  (step @p112 :rule alpha_equiv :args (@t452 @t419 @t453))
% 171.73/172.08  (step @p113 :rule cong :premises (@p112) :args (@t454))
% 171.73/172.08  (step @p114 :rule nary_cong :premises (@p113 @p111 @p109 @p107) :args (@t455))
% 171.73/172.08  (step @p115 :rule cong :premises (@p114) :args (@t456))
% 171.73/172.08  (step @p116 :rule alpha_equiv :args (@t458 @t419 @t459))
% 171.73/172.08  (step @p117 :rule cong :premises (@p116) :args (@t460))
% 171.73/172.08  (step @p118 :rule alpha_equiv :args (@t462 @t419 @t463))
% 171.73/172.08  (step @p119 :rule cong :premises (@p118) :args (@t464))
% 171.73/172.08  (step @p120 :rule alpha_equiv :args (@t466 @t419 @t467))
% 171.73/172.08  (step @p121 :rule cong :premises (@p120) :args (@t468))
% 171.73/172.08  (step @p122 :rule alpha_equiv :args (@t470 @t419 @t471))
% 171.73/172.08  (step @p123 :rule cong :premises (@p122) :args (@t472))
% 171.73/172.08  (step @p124 :rule nary_cong :premises (@p123 @p121 @p119 @p117) :args (@t473))
% 171.73/172.08  (step @p125 :rule cong :premises (@p124) :args (@t474))
% 171.73/172.08  (step @p126 :rule alpha_equiv :args (@t476 @t419 @t477))
% 171.73/172.08  (step @p127 :rule cong :premises (@p126) :args (@t478))
% 171.73/172.08  (step @p128 :rule alpha_equiv :args (@t480 @t419 @t481))
% 171.73/172.08  (step @p129 :rule cong :premises (@p128) :args (@t482))
% 171.73/172.08  (step @p130 :rule alpha_equiv :args (@t484 @t419 @t485))
% 171.73/172.08  (step @p131 :rule cong :premises (@p130) :args (@t486))
% 171.73/172.08  (step @p132 :rule alpha_equiv :args (@t488 @t419 @t489))
% 171.73/172.08  (step @p133 :rule cong :premises (@p132) :args (@t490))
% 171.73/172.08  (step @p134 :rule nary_cong :premises (@p133 @p131 @p129 @p127) :args (@t491))
% 171.73/172.08  (step @p135 :rule cong :premises (@p134) :args (@t492))
% 171.73/172.08  (step @p136 :rule nary_cong :premises (@p135 @p125 @p115 @p105) :args (@t493))
% 171.73/172.08  (step @p137 :rule cong :premises (@p136) :args (@t494))
% 171.73/172.08  (step @p138 :rule nary_cong :premises (@p137 @p95) :args (@t495))
% 171.73/172.08  (step @p139 :rule cong :premises (@p138) :args (@t496))
% 171.73/172.08  (step @p140 :rule ho_cong :premises (@p139 @p93))
% 171.73/172.08  (step @p141 :rule trans :premises (@p140 @p92))
% 171.73/172.08  (step @p142 :rule refl :args (@t392))
% 171.73/172.08  (step @p143 :rule nary_cong :premises (@p142 @p141) :args (@t497))
% 171.73/172.08  (step @p144 :rule trans :premises (@p143 @p91))
% 171.73/172.08  (step @p145 :rule cong :premises (@p144) :args (@t498))
% 171.73/172.08  (step @p146 :rule trans :premises (@p145 @p90))
% 171.73/172.08  (step @p147 :rule cong :premises (@p146) :args (@t499))
% 171.73/172.08  (step @p148 :rule beta-reduce :args ((= (_ @t501 @t496) @t499)))
% 171.73/172.08  (step @p149 :rule trans :premises (@p148 @p147))
% 171.73/172.08  (step @p150 :rule bool-double-not-elim :args (@t495))
% 171.73/172.08  (step @p151 :rule beta-reduce :args ((= @t548 (not @t495))))
% 171.73/172.08  (step @p152 :rule cong :premises (@p151) :args (@t549))
% 171.73/172.08  (step @p153 :rule trans :premises (@p152 @p150))
% 171.73/172.08  (step @p154 :rule cong :premises (@p153) :args (@t550))
% 171.73/172.08  (step @p155 :rule beta-reduce :args ((= (_ @t148 @t547) @t550)))
% 171.73/172.08  (step @p156 :rule trans :premises (@p155 @p154))
% 171.73/172.08  (step @p157 :rule beta-reduce :args ((= @t552 @t503)))
% 171.73/172.08  (step @p158 :rule cong :premises (@p157) :args (@t553))
% 171.73/172.08  (step @p159 :rule refl :args (@t545))
% 171.73/172.08  (step @p160 :rule nary_cong :premises (@p159 @p158) :args (@t554))
% 171.73/172.08  (step @p161 :rule cong :premises (@p160) :args (@t555))
% 171.73/172.08  (step @p162 :rule cong :premises (@p161) :args (@t556))
% 171.73/172.08  (step @p163 :rule beta-reduce :args ((= (_ (lambda @t558 (not (or @t545 @t557))) @t551) @t556)))
% 171.73/172.08  (step @p164 :rule trans :premises (@p163 @p162))
% 171.73/172.08  (step @p165 :rule bool-double-not-elim :args (@t413))
% 171.73/172.08  (step @p166 :rule bool-double-not-elim :args (@t414))
% 171.73/172.08  (step @p167 :rule bool-double-not-elim :args (@t415))
% 171.73/172.08  (step @p168 :rule bool-double-not-elim :args (@t416))
% 171.73/172.08  (step @p169 :rule nary_cong :premises (@p168 @p167 @p166 @p165) :args (@t567))
% 171.73/172.08  (step @p170 :rule aci_norm :args ((= (and @t566 (and @t564 (and @t562 @t560))) @t567)))
% 171.73/172.08  (step @p171 :rule trans :premises (@p170 @p169))
% 171.73/172.08  (step @p172 :rule bool-or-de-morgan :args (@t561 @t559 false))
% 171.73/172.08  (step @p173 :rule refl :args (@t564))
% 171.73/172.08  (step @p174 :rule nary_cong :premises (@p173 @p172) :args ((and @t564 (not (or @t561 @t559)))))
% 171.73/172.08  (step @p175 :rule bool-or-de-morgan :args (@t563 @t561 (or @t559)))
% 171.73/172.08  (step @p176 :rule trans :premises (@p175 @p174))
% 171.73/172.08  (step @p177 :rule refl :args (@t566))
% 171.73/172.08  (step @p178 :rule nary_cong :premises (@p177 @p176) :args ((and @t566 (not (or @t563 @t561 @t559)))))
% 171.73/172.08  (step @p179 :rule bool-or-de-morgan :args (@t565 @t563 (or @t561 @t559)))
% 171.73/172.08  (step @p180 :rule trans :premises (@p179 @p178))
% 171.73/172.08  (step @p181 :rule trans :premises (@p180 @p171))
% 171.73/172.08  (step @p182 :rule nary_cong :premises (@p88 @p181) :args (@t569))
% 171.73/172.08  (step @p183 :rule cong :premises (@p182) :args ((forall @t6 @t569)))
% 171.73/172.08  (step @p184 :rule beta-reduce :args ((= (_ (lambda @t159 (not (or (not (or (not (forall @t295 (or (not (tptp.rel_s4 @t7 @t292)) @t368))) (not (forall @t291 (or (not (tptp.rel_s4 @t7 @t288)) @t367))) (not (forall @t287 (or (not (tptp.rel_s4 @t7 @t284)) @t366))) (not (forall @t283 (or (not (tptp.rel_s4 @t7 @t280)) @t365))))) (not (or (not (forall @t279 (or (not (tptp.rel_s4 @t7 @t276)) @t364))) (not (forall @t275 (or (not (tptp.rel_s4 @t7 @t272)) @t363))) (not (forall @t271 (or (not (tptp.rel_s4 @t7 @t268)) @t362))) (not (forall @t267 (or (not (tptp.rel_s4 @t7 @t264)) @t361))))) (not (or (not (forall @t263 (or (not (tptp.rel_s4 @t7 @t260)) @t360))) (not (forall @t259 (or (not (tptp.rel_s4 @t7 @t256)) @t359))) (not (forall @t255 (or (not (tptp.rel_s4 @t7 @t252)) @t358))) (not (forall @t251 (or (not (tptp.rel_s4 @t7 @t248)) @t357))))) (not (or (not (forall @t247 (or (not (tptp.rel_s4 @t7 @t243)) @t356))) (not (forall @t242 (or (not (tptp.rel_s4 @t7 @t238)) @t354))) (not (forall @t237 (or (not (tptp.rel_s4 @t7 @t233)) @t352))) (not (forall @t232 (or (not (tptp.rel_s4 @t7 @t217)) @t350)))))))) @t1) @t568)))
% 171.73/172.08  (step @p185 :rule alpha_equiv :args (@t422 @t419 @t570))
% 171.73/172.08  (step @p186 :rule cong :premises (@p185) :args (@t424))
% 171.73/172.08  (step @p187 :rule alpha_equiv :args (@t426 @t419 @t571))
% 171.73/172.08  (step @p188 :rule cong :premises (@p187) :args (@t428))
% 171.73/172.08  (step @p189 :rule alpha_equiv :args (@t430 @t419 @t572))
% 171.73/172.08  (step @p190 :rule cong :premises (@p189) :args (@t432))
% 171.73/172.08  (step @p191 :rule alpha_equiv :args (@t434 @t419 @t573))
% 171.73/172.08  (step @p192 :rule cong :premises (@p191) :args (@t436))
% 171.73/172.08  (step @p193 :rule nary_cong :premises (@p192 @p190 @p188 @p186) :args (@t437))
% 171.73/172.08  (step @p194 :rule cong :premises (@p193) :args (@t438))
% 171.73/172.08  (step @p195 :rule alpha_equiv :args (@t440 @t419 @t574))
% 171.73/172.08  (step @p196 :rule cong :premises (@p195) :args (@t442))
% 171.73/172.08  (step @p197 :rule alpha_equiv :args (@t444 @t419 @t575))
% 171.73/172.08  (step @p198 :rule cong :premises (@p197) :args (@t446))
% 171.73/172.08  (step @p199 :rule alpha_equiv :args (@t448 @t419 @t576))
% 171.73/172.08  (step @p200 :rule cong :premises (@p199) :args (@t450))
% 171.73/172.08  (step @p201 :rule alpha_equiv :args (@t452 @t419 @t577))
% 171.73/172.08  (step @p202 :rule cong :premises (@p201) :args (@t454))
% 171.73/172.08  (step @p203 :rule nary_cong :premises (@p202 @p200 @p198 @p196) :args (@t455))
% 171.73/172.08  (step @p204 :rule cong :premises (@p203) :args (@t456))
% 171.73/172.08  (step @p205 :rule alpha_equiv :args (@t458 @t419 @t578))
% 171.73/172.08  (step @p206 :rule cong :premises (@p205) :args (@t460))
% 171.73/172.08  (step @p207 :rule alpha_equiv :args (@t462 @t419 @t579))
% 171.73/172.08  (step @p208 :rule cong :premises (@p207) :args (@t464))
% 171.73/172.08  (step @p209 :rule alpha_equiv :args (@t466 @t419 @t580))
% 171.73/172.08  (step @p210 :rule cong :premises (@p209) :args (@t468))
% 171.73/172.08  (step @p211 :rule alpha_equiv :args (@t470 @t419 @t581))
% 171.73/172.08  (step @p212 :rule cong :premises (@p211) :args (@t472))
% 171.73/172.08  (step @p213 :rule nary_cong :premises (@p212 @p210 @p208 @p206) :args (@t473))
% 171.73/172.08  (step @p214 :rule cong :premises (@p213) :args (@t474))
% 171.73/172.08  (step @p215 :rule alpha_equiv :args (@t476 @t419 @t582))
% 171.73/172.08  (step @p216 :rule cong :premises (@p215) :args (@t478))
% 171.73/172.08  (step @p217 :rule alpha_equiv :args (@t480 @t419 @t583))
% 171.73/172.08  (step @p218 :rule cong :premises (@p217) :args (@t482))
% 171.73/172.08  (step @p219 :rule alpha_equiv :args (@t484 @t419 @t584))
% 171.73/172.08  (step @p220 :rule cong :premises (@p219) :args (@t486))
% 171.73/172.08  (step @p221 :rule alpha_equiv :args (@t488 @t419 @t585))
% 171.73/172.08  (step @p222 :rule cong :premises (@p221) :args (@t490))
% 171.73/172.08  (step @p223 :rule nary_cong :premises (@p222 @p220 @p218 @p216) :args (@t491))
% 171.73/172.08  (step @p224 :rule cong :premises (@p223) :args (@t492))
% 171.73/172.08  (step @p225 :rule nary_cong :premises (@p224 @p214 @p204 @p194) :args (@t493))
% 171.73/172.08  (step @p226 :rule cong :premises (@p225) :args (@t494))
% 171.73/172.08  (step @p227 :rule cong :premises (@p226) :args (@t586))
% 171.73/172.08  (step @p228 :rule ho_cong :premises (@p227 @p93))
% 171.73/172.08  (step @p229 :rule trans :premises (@p228 @p184))
% 171.73/172.08  (step @p230 :rule nary_cong :premises (@p142 @p229) :args (@t587))
% 171.73/172.08  (step @p231 :rule cong :premises (@p230) :args (@t588))
% 171.73/172.08  (step @p232 :rule trans :premises (@p231 @p183))
% 171.73/172.08  (step @p233 :rule cong :premises (@p232) :args (@t589))
% 171.73/172.08  (step @p234 :rule beta-reduce :args ((= (_ @t501 @t586) @t589)))
% 171.73/172.08  (step @p235 :rule trans :premises (@p234 @p233))
% 171.73/172.08  (step @p236 :rule beta-reduce :args ((= @t591 @t493)))
% 171.73/172.08  (step @p237 :rule cong :premises (@p236) :args (@t592))
% 171.73/172.08  (step @p238 :rule cong :premises (@p237) :args (@t593))
% 171.73/172.08  (step @p239 :rule beta-reduce :args ((= (_ @t148 @t590) @t593)))
% 171.73/172.08  (step @p240 :rule trans :premises (@p239 @p238))
% 171.73/172.08  (step @p241 :rule aci_norm :args ((= (or @t492 @t594) @t493)))
% 171.73/172.08  (step @p242 :rule beta-reduce :args ((= @t596 @t594)))
% 171.73/172.08  (step @p243 :rule refl :args (@t492))
% 171.73/172.08  (step @p244 :rule nary_cong :premises (@p243 @p242) :args (@t597))
% 171.73/172.08  (step @p245 :rule trans :premises (@p244 @p241))
% 171.73/172.08  (step @p246 :rule cong :premises (@p245) :args (@t598))
% 171.73/172.08  (step @p247 :rule beta-reduce :args ((= (_ (lambda @t599 (or @t492 @t150)) @t595) @t598)))
% 171.73/172.08  (step @p248 :rule trans :premises (@p247 @p246))
% 171.73/172.08  (step @p249 :rule aci_norm :args ((= (or @t474 @t600) @t594)))
% 171.73/172.08  (step @p250 :rule beta-reduce :args ((= @t602 @t600)))
% 171.73/172.08  (step @p251 :rule refl :args (@t474))
% 171.73/172.08  (step @p252 :rule nary_cong :premises (@p251 @p250) :args (@t603))
% 171.73/172.08  (step @p253 :rule trans :premises (@p252 @p249))
% 171.73/172.08  (step @p254 :rule cong :premises (@p253) :args (@t604))
% 171.73/172.08  (step @p255 :rule beta-reduce :args ((= (_ (lambda @t599 (or @t474 @t150)) @t601) @t604)))
% 171.73/172.08  (step @p256 :rule trans :premises (@p255 @p254))
% 171.73/172.08  (step @p257 :rule beta-reduce :args ((= @t606 @t438)))
% 171.73/172.08  (step @p258 :rule refl :args (@t456))
% 171.73/172.08  (step @p259 :rule nary_cong :premises (@p258 @p257) :args (@t607))
% 171.73/172.08  (step @p260 :rule cong :premises (@p259) :args (@t608))
% 171.73/172.08  (step @p261 :rule beta-reduce :args ((= (_ (lambda @t599 (or @t456 @t150)) @t605) @t608)))
% 171.73/172.08  (step @p262 :rule trans :premises (@p261 @p260))
% 171.73/172.08  (step @p263 :rule aci_norm :args ((= (or @t511 @t609) @t512)))
% 171.73/172.08  (step @p264 :rule bool-double-not-elim :args (@t609))
% 171.73/172.08  (step @p265 :rule beta-reduce :args ((= @t612 @t610)))
% 171.73/172.08  (step @p266 :rule cong :premises (@p265) :args (@t613))
% 171.73/172.08  (step @p267 :rule trans :premises (@p266 @p264))
% 171.73/172.08  (step @p268 :rule refl :args (@t511))
% 171.73/172.08  (step @p269 :rule nary_cong :premises (@p268 @p267) :args (@t614))
% 171.73/172.08  (step @p270 :rule trans :premises (@p269 @p263))
% 171.73/172.08  (step @p271 :rule cong :premises (@p270) :args (@t615))
% 171.73/172.08  (step @p272 :rule cong :premises (@p271) :args (@t616))
% 171.73/172.08  (step @p273 :rule beta-reduce :args ((= (_ (lambda @t558 (not (or @t511 @t557))) @t611) @t616)))
% 171.73/172.08  (step @p274 :rule trans :premises (@p273 @p272))
% 171.73/172.08  (step @p275 :rule aci_norm :args ((= (or @t509 @t617) @t609)))
% 171.73/172.08  (step @p276 :rule bool-double-not-elim :args (@t617))
% 171.73/172.08  (step @p277 :rule beta-reduce :args ((= @t620 @t618)))
% 171.73/172.08  (step @p278 :rule cong :premises (@p277) :args (@t621))
% 171.73/172.08  (step @p279 :rule trans :premises (@p278 @p276))
% 171.73/172.08  (step @p280 :rule refl :args (@t509))
% 171.73/172.08  (step @p281 :rule nary_cong :premises (@p280 @p279) :args (@t622))
% 171.73/172.08  (step @p282 :rule trans :premises (@p281 @p275))
% 171.73/172.08  (step @p283 :rule cong :premises (@p282) :args (@t623))
% 171.73/172.08  (step @p284 :rule cong :premises (@p283) :args (@t624))
% 171.73/172.08  (step @p285 :rule beta-reduce :args ((= (_ (lambda @t558 (not (or @t509 @t557))) @t619) @t624)))
% 171.73/172.08  (step @p286 :rule trans :premises (@p285 @p284))
% 171.73/172.08  (step @p287 :rule beta-reduce :args ((= @t626 @t504)))
% 171.73/172.08  (step @p288 :rule cong :premises (@p287) :args (@t627))
% 171.73/172.08  (step @p289 :rule refl :args (@t507))
% 171.73/172.08  (step @p290 :rule nary_cong :premises (@p289 @p288) :args (@t628))
% 171.73/172.08  (step @p291 :rule cong :premises (@p290) :args (@t629))
% 171.73/172.08  (step @p292 :rule cong :premises (@p291) :args (@t630))
% 171.73/172.08  (step @p293 :rule beta-reduce :args ((= (_ (lambda @t558 (not (or @t507 @t557))) @t625) @t630)))
% 171.73/172.08  (step @p294 :rule trans :premises (@p293 @p292))
% 171.73/172.08  (step @p295 :rule refl :args ((tptp.qmltpeq @t28 tptp.e3 @t1)))
% 171.73/172.08  (step @p296 :rule refl :args (tptp.e3))
% 171.73/172.08  (step @p297 :rule refl :args (@t349))
% 171.73/172.08  (step @p298 :rule cong :premises (@p297 @p296 @p93) :args (@t421))
% 171.73/172.08  (step @p299 :rule trans :premises (@p298 @p295))
% 171.73/172.08  (step @p300 :rule refl :args (tptp.qmltpeq))
% 171.73/172.08  (step @p301 :rule ho_cong :premises (@p300 @p297))
% 171.73/172.08  (step @p302 :rule ho_cong :premises (@p301 @p296))
% 171.73/172.08  (step @p303 :rule ho_cong :premises (@p302 @p93))
% 171.73/172.08  (step @p304 :rule cong :premises (@p303 @p299) :args ((= (_ (_ @t631 tptp.e3) @t1) @t421)))
% 171.73/172.08  (step @p305 :rule symm :premises (@p304))
% 171.73/172.08  (step @p306 :rule refl :args (@t632))
% 171.73/172.08  (step @p307 :rule eq_resolve :premises (@p306 @p305))
% 171.73/172.08  (step @p308 :rule refl :args (@t28))
% 171.73/172.08  (step @p309 :rule cong :premises (@p308 @p297) :args ((= @t28 @t349)))
% 171.73/172.08  (step @p310 :rule symm :premises (@p309))
% 171.73/172.08  (step @p311 :rule eq_resolve :premises (@p308 @p310))
% 171.73/172.08  (step @p312 :rule ho_cong :premises (@p300 @p311))
% 171.73/172.08  (step @p313 :rule ho_cong :premises (@p312 @p296))
% 171.73/172.08  (step @p314 :rule ho_cong :premises (@p313 @p93))
% 171.73/172.08  (step @p315 :rule trans :premises (@p314 @p307))
% 171.73/172.08  (step @p316 :rule nary_cong :premises (@p88 @p315) :args (@t633))
% 171.73/172.08  (step @p317 :rule cong :premises (@p316) :args ((forall @t6 @t633)))
% 171.73/172.08  (step @p318 :rule refl :args (@t634))
% 171.73/172.08  (step @p319 :rule nary_cong :premises (@p142 @p318) :args (@t635))
% 171.73/172.08  (step @p320 :rule cong :premises (@p319) :args (@t636))
% 171.73/172.08  (step @p321 :rule trans :premises (@p320 @p317))
% 171.73/172.08  (step @p322 :rule cong :premises (@p321) :args (@t637))
% 171.73/172.08  (step @p323 :rule beta-reduce :args ((= @t638 @t637)))
% 171.73/172.08  (step @p324 :rule trans :premises (@p323 @p322))
% 171.73/172.08  (step @p325 :rule refl :args (@t557))
% 171.73/172.08  (step @p326 :rule beta-reduce :args ((= @t640 @t506)))
% 171.73/172.08  (step @p327 :rule cong :premises (@p326) :args (@t641))
% 171.73/172.08  (step @p328 :rule nary_cong :premises (@p327 @p325) :args (@t642))
% 171.73/172.08  (step @p329 :rule cong :premises (@p328) :args (@t643))
% 171.73/172.08  (step @p330 :rule cong :premises (@p329) :args (@t644))
% 171.73/172.08  (step @p331 :rule beta-reduce :args ((= (_ @t646 @t639) @t644)))
% 171.73/172.08  (step @p332 :rule trans :premises (@p331 @p330))
% 171.73/172.08  (step @p333 :rule refl :args ((tptp.qmltpeq @t47 tptp.e3 @t1)))
% 171.73/172.08  (step @p334 :rule refl :args (@t351))
% 171.73/172.08  (step @p335 :rule cong :premises (@p334 @p296 @p93) :args (@t425))
% 171.73/172.08  (step @p336 :rule trans :premises (@p335 @p333))
% 171.73/172.08  (step @p337 :rule ho_cong :premises (@p300 @p334))
% 171.73/172.08  (step @p338 :rule ho_cong :premises (@p337 @p296))
% 171.73/172.08  (step @p339 :rule ho_cong :premises (@p338 @p93))
% 171.73/172.08  (step @p340 :rule cong :premises (@p339 @p336) :args ((= (_ (_ @t647 tptp.e3) @t1) @t425)))
% 171.73/172.08  (step @p341 :rule symm :premises (@p340))
% 171.73/172.08  (step @p342 :rule refl :args (@t648))
% 171.73/172.08  (step @p343 :rule eq_resolve :premises (@p342 @p341))
% 171.73/172.08  (step @p344 :rule refl :args (@t47))
% 171.73/172.08  (step @p345 :rule cong :premises (@p344 @p334) :args ((= @t47 @t351)))
% 171.73/172.08  (step @p346 :rule symm :premises (@p345))
% 171.73/172.08  (step @p347 :rule eq_resolve :premises (@p344 @p346))
% 171.73/172.08  (step @p348 :rule ho_cong :premises (@p300 @p347))
% 171.73/172.08  (step @p349 :rule ho_cong :premises (@p348 @p296))
% 171.73/172.08  (step @p350 :rule ho_cong :premises (@p349 @p93))
% 171.73/172.08  (step @p351 :rule trans :premises (@p350 @p343))
% 171.73/172.08  (step @p352 :rule nary_cong :premises (@p88 @p351) :args (@t649))
% 171.73/172.08  (step @p353 :rule cong :premises (@p352) :args ((forall @t6 @t649)))
% 171.73/172.08  (step @p354 :rule refl :args (@t650))
% 171.73/172.08  (step @p355 :rule nary_cong :premises (@p142 @p354) :args (@t651))
% 171.73/172.08  (step @p356 :rule cong :premises (@p355) :args (@t652))
% 171.73/172.08  (step @p357 :rule trans :premises (@p356 @p353))
% 171.73/172.08  (step @p358 :rule cong :premises (@p357) :args (@t653))
% 171.73/172.08  (step @p359 :rule beta-reduce :args ((= @t654 @t653)))
% 171.73/172.08  (step @p360 :rule trans :premises (@p359 @p358))
% 171.73/172.08  (step @p361 :rule refl :args (@t646))
% 171.73/172.08  (step @p362 :rule ho_cong :premises (@p361 @p360))
% 171.73/172.08  (step @p363 :rule trans :premises (@p362 @p332))
% 171.73/172.08  (step @p364 :rule ho_cong :premises (@p363 @p324))
% 171.73/172.08  (step @p365 :rule trans :premises (@p364 @p294))
% 171.73/172.08  (step @p366 :rule beta-reduce :args ((= @t656 @t508)))
% 171.73/172.08  (step @p367 :rule cong :premises (@p366) :args (@t657))
% 171.73/172.08  (step @p368 :rule nary_cong :premises (@p367 @p325) :args (@t658))
% 171.73/172.08  (step @p369 :rule cong :premises (@p368) :args (@t659))
% 171.73/172.08  (step @p370 :rule cong :premises (@p369) :args (@t660))
% 171.73/172.08  (step @p371 :rule beta-reduce :args ((= (_ @t646 @t655) @t660)))
% 171.73/172.08  (step @p372 :rule trans :premises (@p371 @p370))
% 171.73/172.08  (step @p373 :rule refl :args ((tptp.qmltpeq @t66 tptp.e3 @t1)))
% 171.73/172.08  (step @p374 :rule refl :args (@t353))
% 171.73/172.08  (step @p375 :rule cong :premises (@p374 @p296 @p93) :args (@t429))
% 171.73/172.08  (step @p376 :rule trans :premises (@p375 @p373))
% 171.73/172.08  (step @p377 :rule ho_cong :premises (@p300 @p374))
% 171.73/172.08  (step @p378 :rule ho_cong :premises (@p377 @p296))
% 171.73/172.08  (step @p379 :rule ho_cong :premises (@p378 @p93))
% 171.73/172.08  (step @p380 :rule cong :premises (@p379 @p376) :args ((= (_ (_ @t661 tptp.e3) @t1) @t429)))
% 171.73/172.08  (step @p381 :rule symm :premises (@p380))
% 171.73/172.08  (step @p382 :rule refl :args (@t662))
% 171.73/172.08  (step @p383 :rule eq_resolve :premises (@p382 @p381))
% 171.73/172.08  (step @p384 :rule refl :args (@t66))
% 171.73/172.08  (step @p385 :rule cong :premises (@p384 @p374) :args ((= @t66 @t353)))
% 171.73/172.08  (step @p386 :rule symm :premises (@p385))
% 171.73/172.08  (step @p387 :rule eq_resolve :premises (@p384 @p386))
% 171.73/172.08  (step @p388 :rule ho_cong :premises (@p300 @p387))
% 171.73/172.08  (step @p389 :rule ho_cong :premises (@p388 @p296))
% 171.73/172.08  (step @p390 :rule ho_cong :premises (@p389 @p93))
% 171.73/172.08  (step @p391 :rule trans :premises (@p390 @p383))
% 171.73/172.08  (step @p392 :rule nary_cong :premises (@p88 @p391) :args (@t663))
% 171.73/172.08  (step @p393 :rule cong :premises (@p392) :args ((forall @t6 @t663)))
% 171.73/172.08  (step @p394 :rule refl :args (@t664))
% 171.73/172.08  (step @p395 :rule nary_cong :premises (@p142 @p394) :args (@t665))
% 171.73/172.08  (step @p396 :rule cong :premises (@p395) :args (@t666))
% 171.73/172.08  (step @p397 :rule trans :premises (@p396 @p393))
% 171.73/172.08  (step @p398 :rule cong :premises (@p397) :args (@t667))
% 171.73/172.08  (step @p399 :rule beta-reduce :args ((= @t668 @t667)))
% 171.73/172.08  (step @p400 :rule trans :premises (@p399 @p398))
% 171.73/172.08  (step @p401 :rule ho_cong :premises (@p361 @p400))
% 171.73/172.08  (step @p402 :rule trans :premises (@p401 @p372))
% 171.73/172.08  (step @p403 :rule ho_cong :premises (@p402 @p365))
% 171.73/172.08  (step @p404 :rule trans :premises (@p403 @p286))
% 171.73/172.08  (step @p405 :rule beta-reduce :args ((= @t670 @t510)))
% 171.73/172.08  (step @p406 :rule cong :premises (@p405) :args (@t671))
% 171.73/172.08  (step @p407 :rule nary_cong :premises (@p406 @p325) :args (@t672))
% 171.73/172.08  (step @p408 :rule cong :premises (@p407) :args (@t673))
% 171.73/172.08  (step @p409 :rule cong :premises (@p408) :args (@t674))
% 171.73/172.08  (step @p410 :rule beta-reduce :args ((= (_ @t646 @t669) @t674)))
% 171.73/172.08  (step @p411 :rule trans :premises (@p410 @p409))
% 171.73/172.08  (step @p412 :rule refl :args ((tptp.qmltpeq @t85 tptp.e3 @t1)))
% 171.73/172.08  (step @p413 :rule refl :args (@t355))
% 171.73/172.08  (step @p414 :rule cong :premises (@p413 @p296 @p93) :args (@t433))
% 171.73/172.08  (step @p415 :rule trans :premises (@p414 @p412))
% 171.73/172.08  (step @p416 :rule ho_cong :premises (@p300 @p413))
% 171.73/172.08  (step @p417 :rule ho_cong :premises (@p416 @p296))
% 171.73/172.08  (step @p418 :rule ho_cong :premises (@p417 @p93))
% 171.73/172.08  (step @p419 :rule cong :premises (@p418 @p415) :args ((= (_ (_ @t675 tptp.e3) @t1) @t433)))
% 171.73/172.08  (step @p420 :rule symm :premises (@p419))
% 171.73/172.08  (step @p421 :rule refl :args (@t676))
% 171.73/172.08  (step @p422 :rule eq_resolve :premises (@p421 @p420))
% 171.73/172.08  (step @p423 :rule refl :args (@t85))
% 171.73/172.08  (step @p424 :rule cong :premises (@p423 @p413) :args ((= @t85 @t355)))
% 171.73/172.08  (step @p425 :rule symm :premises (@p424))
% 171.73/172.08  (step @p426 :rule eq_resolve :premises (@p423 @p425))
% 171.73/172.08  (step @p427 :rule ho_cong :premises (@p300 @p426))
% 171.73/172.08  (step @p428 :rule ho_cong :premises (@p427 @p296))
% 171.73/172.08  (step @p429 :rule ho_cong :premises (@p428 @p93))
% 171.73/172.08  (step @p430 :rule trans :premises (@p429 @p422))
% 171.73/172.08  (step @p431 :rule nary_cong :premises (@p88 @p430) :args (@t677))
% 171.73/172.08  (step @p432 :rule cong :premises (@p431) :args ((forall @t6 @t677)))
% 171.73/172.08  (step @p433 :rule refl :args (@t678))
% 171.73/172.08  (step @p434 :rule nary_cong :premises (@p142 @p433) :args (@t679))
% 171.73/172.08  (step @p435 :rule cong :premises (@p434) :args (@t680))
% 171.73/172.08  (step @p436 :rule trans :premises (@p435 @p432))
% 171.73/172.08  (step @p437 :rule cong :premises (@p436) :args (@t681))
% 171.73/172.08  (step @p438 :rule beta-reduce :args ((= @t682 @t681)))
% 171.73/172.08  (step @p439 :rule trans :premises (@p438 @p437))
% 171.73/172.08  (step @p440 :rule ho_cong :premises (@p361 @p439))
% 171.73/172.08  (step @p441 :rule trans :premises (@p440 @p411))
% 171.73/172.08  (step @p442 :rule ho_cong :premises (@p441 @p404))
% 171.73/172.08  (step @p443 :rule trans :premises (@p442 @p274))
% 171.73/172.08  (step @p444 :rule refl :args (@t150))
% 171.73/172.08  (step @p445 :rule beta-reduce :args ((= @t684 @t456)))
% 171.73/172.08  (step @p446 :rule nary_cong :premises (@p445 @p444) :args (@t685))
% 171.73/172.08  (step @p447 :rule cong :premises (@p446) :args (@t686))
% 171.73/172.08  (step @p448 :rule beta-reduce :args ((= (_ @t151 @t683) @t686)))
% 171.73/172.08  (step @p449 :rule trans :premises (@p448 @p447))
% 171.73/172.08  (step @p450 :rule aci_norm :args ((= (or @t521 @t687) @t522)))
% 171.73/172.08  (step @p451 :rule bool-double-not-elim :args (@t687))
% 171.73/172.08  (step @p452 :rule beta-reduce :args ((= @t690 @t688)))
% 171.73/172.08  (step @p453 :rule cong :premises (@p452) :args (@t691))
% 171.73/172.08  (step @p454 :rule trans :premises (@p453 @p451))
% 171.73/172.08  (step @p455 :rule refl :args (@t521))
% 171.73/172.08  (step @p456 :rule nary_cong :premises (@p455 @p454) :args (@t692))
% 171.73/172.08  (step @p457 :rule trans :premises (@p456 @p450))
% 171.73/172.08  (step @p458 :rule cong :premises (@p457) :args (@t693))
% 171.73/172.08  (step @p459 :rule cong :premises (@p458) :args (@t694))
% 171.73/172.08  (step @p460 :rule beta-reduce :args ((= (_ (lambda @t558 (not (or @t521 @t557))) @t689) @t694)))
% 171.73/172.08  (step @p461 :rule trans :premises (@p460 @p459))
% 171.73/172.08  (step @p462 :rule aci_norm :args ((= (or @t519 @t695) @t687)))
% 171.73/172.08  (step @p463 :rule bool-double-not-elim :args (@t695))
% 171.73/172.08  (step @p464 :rule beta-reduce :args ((= @t698 @t696)))
% 171.73/172.08  (step @p465 :rule cong :premises (@p464) :args (@t699))
% 171.73/172.08  (step @p466 :rule trans :premises (@p465 @p463))
% 171.73/172.08  (step @p467 :rule refl :args (@t519))
% 171.73/172.08  (step @p468 :rule nary_cong :premises (@p467 @p466) :args (@t700))
% 171.73/172.08  (step @p469 :rule trans :premises (@p468 @p462))
% 171.73/172.08  (step @p470 :rule cong :premises (@p469) :args (@t701))
% 171.73/172.08  (step @p471 :rule cong :premises (@p470) :args (@t702))
% 171.73/172.08  (step @p472 :rule beta-reduce :args ((= (_ (lambda @t558 (not (or @t519 @t557))) @t697) @t702)))
% 171.73/172.08  (step @p473 :rule trans :premises (@p472 @p471))
% 171.73/172.08  (step @p474 :rule beta-reduce :args ((= @t704 @t514)))
% 171.73/172.08  (step @p475 :rule cong :premises (@p474) :args (@t705))
% 171.73/172.08  (step @p476 :rule refl :args (@t517))
% 171.73/172.08  (step @p477 :rule nary_cong :premises (@p476 @p475) :args (@t706))
% 171.73/172.08  (step @p478 :rule cong :premises (@p477) :args (@t707))
% 171.73/172.08  (step @p479 :rule cong :premises (@p478) :args (@t708))
% 171.73/172.08  (step @p480 :rule beta-reduce :args ((= (_ (lambda @t558 (not (or @t517 @t557))) @t703) @t708)))
% 171.73/172.08  (step @p481 :rule trans :premises (@p480 @p479))
% 171.73/172.08  (step @p482 :rule refl :args ((tptp.qmltpeq @t28 tptp.e2 @t1)))
% 171.73/172.08  (step @p483 :rule refl :args (tptp.e2))
% 171.73/172.08  (step @p484 :rule cong :premises (@p297 @p483 @p93) :args (@t439))
% 171.73/172.08  (step @p485 :rule trans :premises (@p484 @p482))
% 171.73/172.08  (step @p486 :rule ho_cong :premises (@p301 @p483))
% 171.73/172.08  (step @p487 :rule ho_cong :premises (@p486 @p93))
% 171.73/172.08  (step @p488 :rule cong :premises (@p487 @p485) :args ((= (_ (_ @t631 tptp.e2) @t1) @t439)))
% 171.73/172.08  (step @p489 :rule symm :premises (@p488))
% 171.73/172.08  (step @p490 :rule refl :args (@t709))
% 171.73/172.08  (step @p491 :rule eq_resolve :premises (@p490 @p489))
% 171.73/172.08  (step @p492 :rule ho_cong :premises (@p312 @p483))
% 171.73/172.08  (step @p493 :rule ho_cong :premises (@p492 @p93))
% 171.73/172.08  (step @p494 :rule trans :premises (@p493 @p491))
% 171.73/172.08  (step @p495 :rule nary_cong :premises (@p88 @p494) :args (@t710))
% 171.73/172.08  (step @p496 :rule cong :premises (@p495) :args ((forall @t6 @t710)))
% 171.73/172.08  (step @p497 :rule refl :args (@t711))
% 171.73/172.08  (step @p498 :rule nary_cong :premises (@p142 @p497) :args (@t712))
% 171.73/172.08  (step @p499 :rule cong :premises (@p498) :args (@t713))
% 171.73/172.08  (step @p500 :rule trans :premises (@p499 @p496))
% 171.73/172.08  (step @p501 :rule cong :premises (@p500) :args (@t714))
% 171.73/172.08  (step @p502 :rule beta-reduce :args ((= @t715 @t714)))
% 171.73/172.08  (step @p503 :rule trans :premises (@p502 @p501))
% 171.73/172.08  (step @p504 :rule beta-reduce :args ((= @t717 @t516)))
% 171.73/172.08  (step @p505 :rule cong :premises (@p504) :args (@t718))
% 171.73/172.08  (step @p506 :rule nary_cong :premises (@p505 @p325) :args (@t719))
% 171.73/172.08  (step @p507 :rule cong :premises (@p506) :args (@t720))
% 171.73/172.08  (step @p508 :rule cong :premises (@p507) :args (@t721))
% 171.73/172.08  (step @p509 :rule beta-reduce :args ((= (_ @t646 @t716) @t721)))
% 171.73/172.08  (step @p510 :rule trans :premises (@p509 @p508))
% 171.73/172.08  (step @p511 :rule refl :args ((tptp.qmltpeq @t47 tptp.e2 @t1)))
% 171.73/172.08  (step @p512 :rule cong :premises (@p334 @p483 @p93) :args (@t443))
% 171.73/172.08  (step @p513 :rule trans :premises (@p512 @p511))
% 171.73/172.08  (step @p514 :rule ho_cong :premises (@p337 @p483))
% 171.73/172.08  (step @p515 :rule ho_cong :premises (@p514 @p93))
% 171.73/172.08  (step @p516 :rule cong :premises (@p515 @p513) :args ((= (_ (_ @t647 tptp.e2) @t1) @t443)))
% 171.73/172.08  (step @p517 :rule symm :premises (@p516))
% 171.73/172.08  (step @p518 :rule refl :args (@t722))
% 171.73/172.08  (step @p519 :rule eq_resolve :premises (@p518 @p517))
% 171.73/172.08  (step @p520 :rule ho_cong :premises (@p348 @p483))
% 171.73/172.08  (step @p521 :rule ho_cong :premises (@p520 @p93))
% 171.73/172.08  (step @p522 :rule trans :premises (@p521 @p519))
% 171.73/172.08  (step @p523 :rule nary_cong :premises (@p88 @p522) :args (@t723))
% 171.73/172.08  (step @p524 :rule cong :premises (@p523) :args ((forall @t6 @t723)))
% 171.73/172.08  (step @p525 :rule refl :args (@t724))
% 171.73/172.08  (step @p526 :rule nary_cong :premises (@p142 @p525) :args (@t725))
% 171.73/172.08  (step @p527 :rule cong :premises (@p526) :args (@t726))
% 171.73/172.08  (step @p528 :rule trans :premises (@p527 @p524))
% 171.73/172.08  (step @p529 :rule cong :premises (@p528) :args (@t727))
% 171.73/172.08  (step @p530 :rule beta-reduce :args ((= @t728 @t727)))
% 171.73/172.08  (step @p531 :rule trans :premises (@p530 @p529))
% 171.73/172.08  (step @p532 :rule ho_cong :premises (@p361 @p531))
% 171.73/172.08  (step @p533 :rule trans :premises (@p532 @p510))
% 171.73/172.08  (step @p534 :rule ho_cong :premises (@p533 @p503))
% 171.73/172.08  (step @p535 :rule trans :premises (@p534 @p481))
% 171.73/172.08  (step @p536 :rule beta-reduce :args ((= @t730 @t518)))
% 171.73/172.08  (step @p537 :rule cong :premises (@p536) :args (@t731))
% 171.73/172.08  (step @p538 :rule nary_cong :premises (@p537 @p325) :args (@t732))
% 171.73/172.08  (step @p539 :rule cong :premises (@p538) :args (@t733))
% 171.73/172.08  (step @p540 :rule cong :premises (@p539) :args (@t734))
% 171.73/172.08  (step @p541 :rule beta-reduce :args ((= (_ @t646 @t729) @t734)))
% 171.73/172.08  (step @p542 :rule trans :premises (@p541 @p540))
% 171.73/172.08  (step @p543 :rule refl :args ((tptp.qmltpeq @t66 tptp.e2 @t1)))
% 171.73/172.08  (step @p544 :rule cong :premises (@p374 @p483 @p93) :args (@t447))
% 171.73/172.08  (step @p545 :rule trans :premises (@p544 @p543))
% 171.73/172.08  (step @p546 :rule ho_cong :premises (@p377 @p483))
% 171.73/172.08  (step @p547 :rule ho_cong :premises (@p546 @p93))
% 171.73/172.08  (step @p548 :rule cong :premises (@p547 @p545) :args ((= (_ (_ @t661 tptp.e2) @t1) @t447)))
% 171.73/172.08  (step @p549 :rule symm :premises (@p548))
% 171.73/172.08  (step @p550 :rule refl :args (@t735))
% 171.73/172.08  (step @p551 :rule eq_resolve :premises (@p550 @p549))
% 171.73/172.08  (step @p552 :rule ho_cong :premises (@p388 @p483))
% 171.73/172.08  (step @p553 :rule ho_cong :premises (@p552 @p93))
% 171.73/172.08  (step @p554 :rule trans :premises (@p553 @p551))
% 171.73/172.08  (step @p555 :rule nary_cong :premises (@p88 @p554) :args (@t736))
% 171.73/172.08  (step @p556 :rule cong :premises (@p555) :args ((forall @t6 @t736)))
% 171.73/172.08  (step @p557 :rule refl :args (@t737))
% 171.73/172.08  (step @p558 :rule nary_cong :premises (@p142 @p557) :args (@t738))
% 171.73/172.08  (step @p559 :rule cong :premises (@p558) :args (@t739))
% 171.73/172.08  (step @p560 :rule trans :premises (@p559 @p556))
% 171.73/172.08  (step @p561 :rule cong :premises (@p560) :args (@t740))
% 171.73/172.08  (step @p562 :rule beta-reduce :args ((= @t741 @t740)))
% 171.73/172.08  (step @p563 :rule trans :premises (@p562 @p561))
% 171.73/172.08  (step @p564 :rule ho_cong :premises (@p361 @p563))
% 171.73/172.08  (step @p565 :rule trans :premises (@p564 @p542))
% 171.73/172.08  (step @p566 :rule ho_cong :premises (@p565 @p535))
% 171.73/172.08  (step @p567 :rule trans :premises (@p566 @p473))
% 171.73/172.08  (step @p568 :rule beta-reduce :args ((= @t743 @t520)))
% 171.73/172.08  (step @p569 :rule cong :premises (@p568) :args (@t744))
% 171.73/172.08  (step @p570 :rule nary_cong :premises (@p569 @p325) :args (@t745))
% 171.73/172.08  (step @p571 :rule cong :premises (@p570) :args (@t746))
% 171.73/172.08  (step @p572 :rule cong :premises (@p571) :args (@t747))
% 171.73/172.08  (step @p573 :rule beta-reduce :args ((= (_ @t646 @t742) @t747)))
% 171.73/172.08  (step @p574 :rule trans :premises (@p573 @p572))
% 171.73/172.08  (step @p575 :rule refl :args ((tptp.qmltpeq @t85 tptp.e2 @t1)))
% 171.73/172.08  (step @p576 :rule cong :premises (@p413 @p483 @p93) :args (@t451))
% 171.73/172.08  (step @p577 :rule trans :premises (@p576 @p575))
% 171.73/172.08  (step @p578 :rule ho_cong :premises (@p416 @p483))
% 171.73/172.08  (step @p579 :rule ho_cong :premises (@p578 @p93))
% 171.73/172.08  (step @p580 :rule cong :premises (@p579 @p577) :args ((= (_ (_ @t675 tptp.e2) @t1) @t451)))
% 171.73/172.08  (step @p581 :rule symm :premises (@p580))
% 171.73/172.08  (step @p582 :rule refl :args (@t748))
% 171.73/172.08  (step @p583 :rule eq_resolve :premises (@p582 @p581))
% 171.73/172.08  (step @p584 :rule ho_cong :premises (@p427 @p483))
% 171.73/172.08  (step @p585 :rule ho_cong :premises (@p584 @p93))
% 171.73/172.08  (step @p586 :rule trans :premises (@p585 @p583))
% 171.73/172.08  (step @p587 :rule nary_cong :premises (@p88 @p586) :args (@t749))
% 171.73/172.08  (step @p588 :rule cong :premises (@p587) :args ((forall @t6 @t749)))
% 171.73/172.08  (step @p589 :rule refl :args (@t750))
% 171.73/172.08  (step @p590 :rule nary_cong :premises (@p142 @p589) :args (@t751))
% 171.73/172.08  (step @p591 :rule cong :premises (@p590) :args (@t752))
% 171.73/172.08  (step @p592 :rule trans :premises (@p591 @p588))
% 171.73/172.08  (step @p593 :rule cong :premises (@p592) :args (@t753))
% 171.73/172.08  (step @p594 :rule beta-reduce :args ((= @t754 @t753)))
% 171.73/172.08  (step @p595 :rule trans :premises (@p594 @p593))
% 171.73/172.08  (step @p596 :rule ho_cong :premises (@p361 @p595))
% 171.73/172.08  (step @p597 :rule trans :premises (@p596 @p574))
% 171.73/172.08  (step @p598 :rule ho_cong :premises (@p597 @p567))
% 171.73/172.08  (step @p599 :rule trans :premises (@p598 @p461))
% 171.73/172.08  (step @p600 :rule refl :args (@t151))
% 171.73/172.08  (step @p601 :rule ho_cong :premises (@p600 @p599))
% 171.73/172.08  (step @p602 :rule trans :premises (@p601 @p449))
% 171.73/172.08  (step @p603 :rule ho_cong :premises (@p602 @p443))
% 171.73/172.08  (step @p604 :rule trans :premises (@p603 @p262))
% 171.73/172.08  (step @p605 :rule beta-reduce :args ((= @t756 @t474)))
% 171.73/172.08  (step @p606 :rule nary_cong :premises (@p605 @p444) :args (@t757))
% 171.73/172.08  (step @p607 :rule cong :premises (@p606) :args (@t758))
% 171.73/172.08  (step @p608 :rule beta-reduce :args ((= (_ @t151 @t755) @t758)))
% 171.73/172.08  (step @p609 :rule trans :premises (@p608 @p607))
% 171.73/172.08  (step @p610 :rule aci_norm :args ((= (or @t531 @t759) @t532)))
% 171.73/172.08  (step @p611 :rule bool-double-not-elim :args (@t759))
% 171.73/172.08  (step @p612 :rule beta-reduce :args ((= @t762 @t760)))
% 171.73/172.08  (step @p613 :rule cong :premises (@p612) :args (@t763))
% 171.73/172.08  (step @p614 :rule trans :premises (@p613 @p611))
% 171.73/172.08  (step @p615 :rule refl :args (@t531))
% 171.73/172.08  (step @p616 :rule nary_cong :premises (@p615 @p614) :args (@t764))
% 171.73/172.08  (step @p617 :rule trans :premises (@p616 @p610))
% 171.73/172.08  (step @p618 :rule cong :premises (@p617) :args (@t765))
% 171.73/172.08  (step @p619 :rule cong :premises (@p618) :args (@t766))
% 171.73/172.08  (step @p620 :rule beta-reduce :args ((= (_ (lambda @t558 (not (or @t531 @t557))) @t761) @t766)))
% 171.73/172.08  (step @p621 :rule trans :premises (@p620 @p619))
% 171.73/172.08  (step @p622 :rule aci_norm :args ((= (or @t529 @t767) @t759)))
% 171.73/172.08  (step @p623 :rule bool-double-not-elim :args (@t767))
% 171.73/172.08  (step @p624 :rule beta-reduce :args ((= @t770 @t768)))
% 171.73/172.08  (step @p625 :rule cong :premises (@p624) :args (@t771))
% 171.73/172.08  (step @p626 :rule trans :premises (@p625 @p623))
% 171.73/172.08  (step @p627 :rule refl :args (@t529))
% 171.73/172.08  (step @p628 :rule nary_cong :premises (@p627 @p626) :args (@t772))
% 171.73/172.08  (step @p629 :rule trans :premises (@p628 @p622))
% 171.73/172.08  (step @p630 :rule cong :premises (@p629) :args (@t773))
% 171.73/172.08  (step @p631 :rule cong :premises (@p630) :args (@t774))
% 171.73/172.08  (step @p632 :rule beta-reduce :args ((= (_ (lambda @t558 (not (or @t529 @t557))) @t769) @t774)))
% 171.73/172.08  (step @p633 :rule trans :premises (@p632 @p631))
% 171.73/172.08  (step @p634 :rule beta-reduce :args ((= @t776 @t524)))
% 171.73/172.08  (step @p635 :rule cong :premises (@p634) :args (@t777))
% 171.73/172.08  (step @p636 :rule refl :args (@t527))
% 171.73/172.08  (step @p637 :rule nary_cong :premises (@p636 @p635) :args (@t778))
% 171.73/172.08  (step @p638 :rule cong :premises (@p637) :args (@t779))
% 171.73/172.08  (step @p639 :rule cong :premises (@p638) :args (@t780))
% 171.73/172.08  (step @p640 :rule beta-reduce :args ((= (_ (lambda @t558 (not (or @t527 @t557))) @t775) @t780)))
% 171.73/172.08  (step @p641 :rule trans :premises (@p640 @p639))
% 171.73/172.08  (step @p642 :rule refl :args ((tptp.qmltpeq @t28 tptp.e1 @t1)))
% 171.73/172.08  (step @p643 :rule refl :args (tptp.e1))
% 171.73/172.08  (step @p644 :rule cong :premises (@p297 @p643 @p93) :args (@t457))
% 171.73/172.08  (step @p645 :rule trans :premises (@p644 @p642))
% 171.73/172.08  (step @p646 :rule ho_cong :premises (@p301 @p643))
% 171.73/172.08  (step @p647 :rule ho_cong :premises (@p646 @p93))
% 171.73/172.08  (step @p648 :rule cong :premises (@p647 @p645) :args ((= (_ (_ @t631 tptp.e1) @t1) @t457)))
% 171.73/172.08  (step @p649 :rule symm :premises (@p648))
% 171.73/172.08  (step @p650 :rule refl :args (@t781))
% 171.73/172.08  (step @p651 :rule eq_resolve :premises (@p650 @p649))
% 171.73/172.08  (step @p652 :rule ho_cong :premises (@p312 @p643))
% 171.73/172.08  (step @p653 :rule ho_cong :premises (@p652 @p93))
% 171.73/172.08  (step @p654 :rule trans :premises (@p653 @p651))
% 171.73/172.08  (step @p655 :rule nary_cong :premises (@p88 @p654) :args (@t782))
% 171.73/172.08  (step @p656 :rule cong :premises (@p655) :args ((forall @t6 @t782)))
% 171.73/172.08  (step @p657 :rule refl :args (@t783))
% 171.73/172.08  (step @p658 :rule nary_cong :premises (@p142 @p657) :args (@t784))
% 171.73/172.08  (step @p659 :rule cong :premises (@p658) :args (@t785))
% 171.73/172.08  (step @p660 :rule trans :premises (@p659 @p656))
% 171.73/172.08  (step @p661 :rule cong :premises (@p660) :args (@t786))
% 171.73/172.08  (step @p662 :rule beta-reduce :args ((= @t787 @t786)))
% 171.73/172.08  (step @p663 :rule trans :premises (@p662 @p661))
% 171.73/172.08  (step @p664 :rule beta-reduce :args ((= @t789 @t526)))
% 171.73/172.08  (step @p665 :rule cong :premises (@p664) :args (@t790))
% 171.73/172.08  (step @p666 :rule nary_cong :premises (@p665 @p325) :args (@t791))
% 171.73/172.08  (step @p667 :rule cong :premises (@p666) :args (@t792))
% 171.73/172.08  (step @p668 :rule cong :premises (@p667) :args (@t793))
% 171.73/172.08  (step @p669 :rule beta-reduce :args ((= (_ @t646 @t788) @t793)))
% 171.73/172.08  (step @p670 :rule trans :premises (@p669 @p668))
% 171.73/172.08  (step @p671 :rule refl :args ((tptp.qmltpeq @t47 tptp.e1 @t1)))
% 171.73/172.08  (step @p672 :rule cong :premises (@p334 @p643 @p93) :args (@t461))
% 171.73/172.08  (step @p673 :rule trans :premises (@p672 @p671))
% 171.73/172.08  (step @p674 :rule ho_cong :premises (@p337 @p643))
% 171.73/172.08  (step @p675 :rule ho_cong :premises (@p674 @p93))
% 171.73/172.08  (step @p676 :rule cong :premises (@p675 @p673) :args ((= (_ (_ @t647 tptp.e1) @t1) @t461)))
% 171.73/172.08  (step @p677 :rule symm :premises (@p676))
% 171.73/172.08  (step @p678 :rule refl :args (@t794))
% 171.73/172.08  (step @p679 :rule eq_resolve :premises (@p678 @p677))
% 171.73/172.08  (step @p680 :rule ho_cong :premises (@p348 @p643))
% 171.73/172.08  (step @p681 :rule ho_cong :premises (@p680 @p93))
% 171.73/172.08  (step @p682 :rule trans :premises (@p681 @p679))
% 171.73/172.08  (step @p683 :rule nary_cong :premises (@p88 @p682) :args (@t795))
% 171.73/172.08  (step @p684 :rule cong :premises (@p683) :args ((forall @t6 @t795)))
% 171.73/172.08  (step @p685 :rule refl :args (@t796))
% 171.73/172.08  (step @p686 :rule nary_cong :premises (@p142 @p685) :args (@t797))
% 171.73/172.08  (step @p687 :rule cong :premises (@p686) :args (@t798))
% 171.73/172.08  (step @p688 :rule trans :premises (@p687 @p684))
% 171.73/172.08  (step @p689 :rule cong :premises (@p688) :args (@t799))
% 171.73/172.08  (step @p690 :rule beta-reduce :args ((= @t800 @t799)))
% 171.73/172.08  (step @p691 :rule trans :premises (@p690 @p689))
% 171.73/172.08  (step @p692 :rule ho_cong :premises (@p361 @p691))
% 171.73/172.08  (step @p693 :rule trans :premises (@p692 @p670))
% 171.73/172.08  (step @p694 :rule ho_cong :premises (@p693 @p663))
% 171.73/172.08  (step @p695 :rule trans :premises (@p694 @p641))
% 171.73/172.08  (step @p696 :rule beta-reduce :args ((= @t802 @t528)))
% 171.73/172.08  (step @p697 :rule cong :premises (@p696) :args (@t803))
% 171.73/172.08  (step @p698 :rule nary_cong :premises (@p697 @p325) :args (@t804))
% 171.73/172.08  (step @p699 :rule cong :premises (@p698) :args (@t805))
% 171.73/172.08  (step @p700 :rule cong :premises (@p699) :args (@t806))
% 171.73/172.08  (step @p701 :rule beta-reduce :args ((= (_ @t646 @t801) @t806)))
% 171.73/172.08  (step @p702 :rule trans :premises (@p701 @p700))
% 171.73/172.08  (step @p703 :rule refl :args ((tptp.qmltpeq @t66 tptp.e1 @t1)))
% 171.73/172.08  (step @p704 :rule cong :premises (@p374 @p643 @p93) :args (@t465))
% 171.73/172.08  (step @p705 :rule trans :premises (@p704 @p703))
% 171.73/172.08  (step @p706 :rule ho_cong :premises (@p377 @p643))
% 171.73/172.08  (step @p707 :rule ho_cong :premises (@p706 @p93))
% 171.73/172.08  (step @p708 :rule cong :premises (@p707 @p705) :args ((= (_ (_ @t661 tptp.e1) @t1) @t465)))
% 171.73/172.08  (step @p709 :rule symm :premises (@p708))
% 171.73/172.08  (step @p710 :rule refl :args (@t807))
% 171.73/172.08  (step @p711 :rule eq_resolve :premises (@p710 @p709))
% 171.73/172.08  (step @p712 :rule ho_cong :premises (@p388 @p643))
% 171.73/172.08  (step @p713 :rule ho_cong :premises (@p712 @p93))
% 171.73/172.08  (step @p714 :rule trans :premises (@p713 @p711))
% 171.73/172.08  (step @p715 :rule nary_cong :premises (@p88 @p714) :args (@t808))
% 171.73/172.08  (step @p716 :rule cong :premises (@p715) :args ((forall @t6 @t808)))
% 171.73/172.08  (step @p717 :rule refl :args (@t809))
% 171.73/172.08  (step @p718 :rule nary_cong :premises (@p142 @p717) :args (@t810))
% 171.73/172.08  (step @p719 :rule cong :premises (@p718) :args (@t811))
% 171.73/172.08  (step @p720 :rule trans :premises (@p719 @p716))
% 171.73/172.08  (step @p721 :rule cong :premises (@p720) :args (@t812))
% 171.73/172.08  (step @p722 :rule beta-reduce :args ((= @t813 @t812)))
% 171.73/172.08  (step @p723 :rule trans :premises (@p722 @p721))
% 171.73/172.08  (step @p724 :rule ho_cong :premises (@p361 @p723))
% 171.73/172.08  (step @p725 :rule trans :premises (@p724 @p702))
% 171.73/172.08  (step @p726 :rule ho_cong :premises (@p725 @p695))
% 171.73/172.08  (step @p727 :rule trans :premises (@p726 @p633))
% 171.73/172.08  (step @p728 :rule beta-reduce :args ((= @t815 @t530)))
% 171.73/172.08  (step @p729 :rule cong :premises (@p728) :args (@t816))
% 171.73/172.08  (step @p730 :rule nary_cong :premises (@p729 @p325) :args (@t817))
% 171.73/172.08  (step @p731 :rule cong :premises (@p730) :args (@t818))
% 171.73/172.08  (step @p732 :rule cong :premises (@p731) :args (@t819))
% 171.73/172.08  (step @p733 :rule beta-reduce :args ((= (_ @t646 @t814) @t819)))
% 171.73/172.08  (step @p734 :rule trans :premises (@p733 @p732))
% 171.73/172.08  (step @p735 :rule refl :args ((tptp.qmltpeq @t85 tptp.e1 @t1)))
% 171.73/172.08  (step @p736 :rule cong :premises (@p413 @p643 @p93) :args (@t469))
% 171.73/172.08  (step @p737 :rule trans :premises (@p736 @p735))
% 171.73/172.08  (step @p738 :rule ho_cong :premises (@p416 @p643))
% 171.73/172.08  (step @p739 :rule ho_cong :premises (@p738 @p93))
% 171.73/172.08  (step @p740 :rule cong :premises (@p739 @p737) :args ((= (_ (_ @t675 tptp.e1) @t1) @t469)))
% 171.73/172.08  (step @p741 :rule symm :premises (@p740))
% 171.73/172.08  (step @p742 :rule refl :args (@t820))
% 171.73/172.08  (step @p743 :rule eq_resolve :premises (@p742 @p741))
% 171.73/172.08  (step @p744 :rule ho_cong :premises (@p427 @p643))
% 171.73/172.08  (step @p745 :rule ho_cong :premises (@p744 @p93))
% 171.73/172.08  (step @p746 :rule trans :premises (@p745 @p743))
% 171.73/172.08  (step @p747 :rule nary_cong :premises (@p88 @p746) :args (@t821))
% 171.73/172.08  (step @p748 :rule cong :premises (@p747) :args ((forall @t6 @t821)))
% 171.73/172.08  (step @p749 :rule refl :args (@t822))
% 171.73/172.08  (step @p750 :rule nary_cong :premises (@p142 @p749) :args (@t823))
% 171.73/172.08  (step @p751 :rule cong :premises (@p750) :args (@t824))
% 171.73/172.08  (step @p752 :rule trans :premises (@p751 @p748))
% 171.73/172.08  (step @p753 :rule cong :premises (@p752) :args (@t825))
% 171.73/172.08  (step @p754 :rule beta-reduce :args ((= @t826 @t825)))
% 171.73/172.08  (step @p755 :rule trans :premises (@p754 @p753))
% 171.73/172.08  (step @p756 :rule ho_cong :premises (@p361 @p755))
% 171.73/172.08  (step @p757 :rule trans :premises (@p756 @p734))
% 171.73/172.08  (step @p758 :rule ho_cong :premises (@p757 @p727))
% 171.73/172.08  (step @p759 :rule trans :premises (@p758 @p621))
% 171.73/172.08  (step @p760 :rule ho_cong :premises (@p600 @p759))
% 171.73/172.08  (step @p761 :rule trans :premises (@p760 @p609))
% 171.73/172.08  (step @p762 :rule ho_cong :premises (@p761 @p604))
% 171.73/172.08  (step @p763 :rule trans :premises (@p762 @p256))
% 171.73/172.08  (step @p764 :rule beta-reduce :args ((= @t828 @t492)))
% 171.73/172.08  (step @p765 :rule nary_cong :premises (@p764 @p444) :args (@t829))
% 171.73/172.08  (step @p766 :rule cong :premises (@p765) :args (@t830))
% 171.73/172.08  (step @p767 :rule beta-reduce :args ((= (_ @t151 @t827) @t830)))
% 171.73/172.08  (step @p768 :rule trans :premises (@p767 @p766))
% 171.73/172.08  (step @p769 :rule aci_norm :args ((= (or @t541 @t831) @t542)))
% 171.73/172.08  (step @p770 :rule bool-double-not-elim :args (@t831))
% 171.73/172.08  (step @p771 :rule beta-reduce :args ((= @t834 @t832)))
% 171.73/172.08  (step @p772 :rule cong :premises (@p771) :args (@t835))
% 171.73/172.08  (step @p773 :rule trans :premises (@p772 @p770))
% 171.73/172.08  (step @p774 :rule refl :args (@t541))
% 171.73/172.08  (step @p775 :rule nary_cong :premises (@p774 @p773) :args (@t836))
% 171.73/172.08  (step @p776 :rule trans :premises (@p775 @p769))
% 171.73/172.08  (step @p777 :rule cong :premises (@p776) :args (@t837))
% 171.73/172.08  (step @p778 :rule cong :premises (@p777) :args (@t838))
% 171.73/172.08  (step @p779 :rule beta-reduce :args ((= (_ (lambda @t558 (not (or @t541 @t557))) @t833) @t838)))
% 171.73/172.08  (step @p780 :rule trans :premises (@p779 @p778))
% 171.73/172.08  (step @p781 :rule aci_norm :args ((= (or @t539 @t839) @t831)))
% 171.73/172.08  (step @p782 :rule bool-double-not-elim :args (@t839))
% 171.73/172.08  (step @p783 :rule beta-reduce :args ((= @t842 @t840)))
% 171.73/172.08  (step @p784 :rule cong :premises (@p783) :args (@t843))
% 171.73/172.08  (step @p785 :rule trans :premises (@p784 @p782))
% 171.73/172.08  (step @p786 :rule refl :args (@t539))
% 171.73/172.08  (step @p787 :rule nary_cong :premises (@p786 @p785) :args (@t844))
% 171.73/172.08  (step @p788 :rule trans :premises (@p787 @p781))
% 171.73/172.08  (step @p789 :rule cong :premises (@p788) :args (@t845))
% 171.73/172.08  (step @p790 :rule cong :premises (@p789) :args (@t846))
% 171.73/172.08  (step @p791 :rule beta-reduce :args ((= (_ (lambda @t558 (not (or @t539 @t557))) @t841) @t846)))
% 171.73/172.08  (step @p792 :rule trans :premises (@p791 @p790))
% 171.73/172.08  (step @p793 :rule beta-reduce :args ((= @t848 @t534)))
% 171.73/172.08  (step @p794 :rule cong :premises (@p793) :args (@t849))
% 171.73/172.08  (step @p795 :rule refl :args (@t537))
% 171.73/172.08  (step @p796 :rule nary_cong :premises (@p795 @p794) :args (@t850))
% 171.73/172.08  (step @p797 :rule cong :premises (@p796) :args (@t851))
% 171.73/172.08  (step @p798 :rule cong :premises (@p797) :args (@t852))
% 171.73/172.08  (step @p799 :rule beta-reduce :args ((= (_ (lambda @t558 (not (or @t537 @t557))) @t847) @t852)))
% 171.73/172.08  (step @p800 :rule trans :premises (@p799 @p798))
% 171.73/172.08  (step @p801 :rule refl :args ((tptp.qmltpeq @t28 tptp.e0 @t1)))
% 171.73/172.08  (step @p802 :rule refl :args (tptp.e0))
% 171.73/172.08  (step @p803 :rule cong :premises (@p297 @p802 @p93) :args (@t475))
% 171.73/172.08  (step @p804 :rule trans :premises (@p803 @p801))
% 171.73/172.08  (step @p805 :rule ho_cong :premises (@p301 @p802))
% 171.73/172.08  (step @p806 :rule ho_cong :premises (@p805 @p93))
% 171.73/172.08  (step @p807 :rule cong :premises (@p806 @p804) :args ((= (_ (_ @t631 tptp.e0) @t1) @t475)))
% 171.73/172.08  (step @p808 :rule symm :premises (@p807))
% 171.73/172.08  (step @p809 :rule refl :args (@t853))
% 171.73/172.08  (step @p810 :rule eq_resolve :premises (@p809 @p808))
% 171.73/172.08  (step @p811 :rule ho_cong :premises (@p312 @p802))
% 171.73/172.08  (step @p812 :rule ho_cong :premises (@p811 @p93))
% 171.73/172.08  (step @p813 :rule trans :premises (@p812 @p810))
% 171.73/172.08  (step @p814 :rule nary_cong :premises (@p88 @p813) :args (@t854))
% 171.73/172.08  (step @p815 :rule cong :premises (@p814) :args ((forall @t6 @t854)))
% 171.73/172.08  (step @p816 :rule refl :args (@t855))
% 171.73/172.08  (step @p817 :rule nary_cong :premises (@p142 @p816) :args (@t856))
% 171.73/172.08  (step @p818 :rule cong :premises (@p817) :args (@t857))
% 171.73/172.08  (step @p819 :rule trans :premises (@p818 @p815))
% 171.73/172.08  (step @p820 :rule cong :premises (@p819) :args (@t858))
% 171.73/172.08  (step @p821 :rule beta-reduce :args ((= @t859 @t858)))
% 171.73/172.08  (step @p822 :rule trans :premises (@p821 @p820))
% 171.73/172.08  (step @p823 :rule beta-reduce :args ((= @t861 @t536)))
% 171.73/172.08  (step @p824 :rule cong :premises (@p823) :args (@t862))
% 171.73/172.08  (step @p825 :rule nary_cong :premises (@p824 @p325) :args (@t863))
% 171.73/172.08  (step @p826 :rule cong :premises (@p825) :args (@t864))
% 171.73/172.08  (step @p827 :rule cong :premises (@p826) :args (@t865))
% 171.73/172.08  (step @p828 :rule beta-reduce :args ((= (_ @t646 @t860) @t865)))
% 171.73/172.08  (step @p829 :rule trans :premises (@p828 @p827))
% 171.73/172.08  (step @p830 :rule refl :args ((tptp.qmltpeq @t47 tptp.e0 @t1)))
% 171.73/172.08  (step @p831 :rule cong :premises (@p334 @p802 @p93) :args (@t479))
% 171.73/172.08  (step @p832 :rule trans :premises (@p831 @p830))
% 171.73/172.08  (step @p833 :rule ho_cong :premises (@p337 @p802))
% 171.73/172.08  (step @p834 :rule ho_cong :premises (@p833 @p93))
% 171.73/172.08  (step @p835 :rule cong :premises (@p834 @p832) :args ((= (_ (_ @t647 tptp.e0) @t1) @t479)))
% 171.73/172.08  (step @p836 :rule symm :premises (@p835))
% 171.73/172.08  (step @p837 :rule refl :args (@t866))
% 171.73/172.08  (step @p838 :rule eq_resolve :premises (@p837 @p836))
% 171.73/172.08  (step @p839 :rule ho_cong :premises (@p348 @p802))
% 171.73/172.08  (step @p840 :rule ho_cong :premises (@p839 @p93))
% 171.73/172.08  (step @p841 :rule trans :premises (@p840 @p838))
% 171.73/172.08  (step @p842 :rule nary_cong :premises (@p88 @p841) :args (@t867))
% 171.73/172.08  (step @p843 :rule cong :premises (@p842) :args ((forall @t6 @t867)))
% 171.73/172.08  (step @p844 :rule refl :args (@t868))
% 171.73/172.08  (step @p845 :rule nary_cong :premises (@p142 @p844) :args (@t869))
% 171.73/172.08  (step @p846 :rule cong :premises (@p845) :args (@t870))
% 171.73/172.08  (step @p847 :rule trans :premises (@p846 @p843))
% 171.73/172.08  (step @p848 :rule cong :premises (@p847) :args (@t871))
% 171.73/172.08  (step @p849 :rule beta-reduce :args ((= @t872 @t871)))
% 171.73/172.08  (step @p850 :rule trans :premises (@p849 @p848))
% 171.73/172.08  (step @p851 :rule ho_cong :premises (@p361 @p850))
% 171.73/172.08  (step @p852 :rule trans :premises (@p851 @p829))
% 171.73/172.08  (step @p853 :rule ho_cong :premises (@p852 @p822))
% 171.73/172.08  (step @p854 :rule trans :premises (@p853 @p800))
% 171.73/172.08  (step @p855 :rule beta-reduce :args ((= @t874 @t538)))
% 171.73/172.08  (step @p856 :rule cong :premises (@p855) :args (@t875))
% 171.73/172.08  (step @p857 :rule nary_cong :premises (@p856 @p325) :args (@t876))
% 171.73/172.08  (step @p858 :rule cong :premises (@p857) :args (@t877))
% 171.73/172.08  (step @p859 :rule cong :premises (@p858) :args (@t878))
% 171.73/172.08  (step @p860 :rule beta-reduce :args ((= (_ @t646 @t873) @t878)))
% 171.73/172.08  (step @p861 :rule trans :premises (@p860 @p859))
% 171.73/172.08  (step @p862 :rule refl :args ((tptp.qmltpeq @t66 tptp.e0 @t1)))
% 171.73/172.08  (step @p863 :rule cong :premises (@p374 @p802 @p93) :args (@t483))
% 171.73/172.08  (step @p864 :rule trans :premises (@p863 @p862))
% 171.73/172.08  (step @p865 :rule ho_cong :premises (@p377 @p802))
% 171.73/172.08  (step @p866 :rule ho_cong :premises (@p865 @p93))
% 171.73/172.08  (step @p867 :rule cong :premises (@p866 @p864) :args ((= (_ (_ @t661 tptp.e0) @t1) @t483)))
% 171.73/172.08  (step @p868 :rule symm :premises (@p867))
% 171.73/172.08  (step @p869 :rule refl :args (@t879))
% 171.73/172.08  (step @p870 :rule eq_resolve :premises (@p869 @p868))
% 171.73/172.08  (step @p871 :rule ho_cong :premises (@p388 @p802))
% 171.73/172.08  (step @p872 :rule ho_cong :premises (@p871 @p93))
% 171.73/172.08  (step @p873 :rule trans :premises (@p872 @p870))
% 171.73/172.08  (step @p874 :rule nary_cong :premises (@p88 @p873) :args (@t880))
% 171.73/172.08  (step @p875 :rule cong :premises (@p874) :args ((forall @t6 @t880)))
% 171.73/172.08  (step @p876 :rule refl :args (@t881))
% 171.73/172.08  (step @p877 :rule nary_cong :premises (@p142 @p876) :args (@t882))
% 171.73/172.08  (step @p878 :rule cong :premises (@p877) :args (@t883))
% 171.73/172.08  (step @p879 :rule trans :premises (@p878 @p875))
% 171.73/172.08  (step @p880 :rule cong :premises (@p879) :args (@t884))
% 171.73/172.08  (step @p881 :rule beta-reduce :args ((= @t885 @t884)))
% 171.73/172.08  (step @p882 :rule trans :premises (@p881 @p880))
% 171.73/172.08  (step @p883 :rule ho_cong :premises (@p361 @p882))
% 171.73/172.08  (step @p884 :rule trans :premises (@p883 @p861))
% 171.73/172.08  (step @p885 :rule ho_cong :premises (@p884 @p854))
% 171.73/172.08  (step @p886 :rule trans :premises (@p885 @p792))
% 171.73/172.08  (step @p887 :rule beta-reduce :args ((= @t887 @t540)))
% 171.73/172.08  (step @p888 :rule cong :premises (@p887) :args (@t888))
% 171.73/172.08  (step @p889 :rule nary_cong :premises (@p888 @p325) :args (@t889))
% 171.73/172.08  (step @p890 :rule cong :premises (@p889) :args (@t890))
% 171.73/172.08  (step @p891 :rule cong :premises (@p890) :args (@t891))
% 171.73/172.08  (step @p892 :rule beta-reduce :args ((= (_ @t646 @t886) @t891)))
% 171.73/172.08  (step @p893 :rule trans :premises (@p892 @p891))
% 171.73/172.08  (step @p894 :rule refl :args ((tptp.qmltpeq @t85 tptp.e0 @t1)))
% 171.73/172.08  (step @p895 :rule cong :premises (@p413 @p802 @p93) :args (@t487))
% 171.73/172.08  (step @p896 :rule trans :premises (@p895 @p894))
% 171.73/172.08  (step @p897 :rule ho_cong :premises (@p416 @p802))
% 171.73/172.08  (step @p898 :rule ho_cong :premises (@p897 @p93))
% 171.73/172.08  (step @p899 :rule cong :premises (@p898 @p896) :args ((= (_ (_ @t675 tptp.e0) @t1) @t487)))
% 171.73/172.08  (step @p900 :rule symm :premises (@p899))
% 171.73/172.08  (step @p901 :rule refl :args (@t892))
% 171.73/172.08  (step @p902 :rule eq_resolve :premises (@p901 @p900))
% 171.73/172.08  (step @p903 :rule ho_cong :premises (@p427 @p802))
% 171.73/172.08  (step @p904 :rule ho_cong :premises (@p903 @p93))
% 171.73/172.08  (step @p905 :rule trans :premises (@p904 @p902))
% 171.73/172.08  (step @p906 :rule nary_cong :premises (@p88 @p905) :args (@t893))
% 171.73/172.08  (step @p907 :rule cong :premises (@p906) :args ((forall @t6 @t893)))
% 171.73/172.08  (step @p908 :rule refl :args (@t894))
% 171.73/172.08  (step @p909 :rule nary_cong :premises (@p142 @p908) :args (@t895))
% 171.73/172.08  (step @p910 :rule cong :premises (@p909) :args (@t896))
% 171.73/172.08  (step @p911 :rule trans :premises (@p910 @p907))
% 171.73/172.08  (step @p912 :rule cong :premises (@p911) :args (@t897))
% 171.73/172.08  (step @p913 :rule beta-reduce :args ((= @t898 @t897)))
% 171.73/172.08  (step @p914 :rule trans :premises (@p913 @p912))
% 171.73/172.08  (step @p915 :rule ho_cong :premises (@p361 @p914))
% 171.73/172.08  (step @p916 :rule trans :premises (@p915 @p893))
% 171.73/172.08  (step @p917 :rule ho_cong :premises (@p916 @p886))
% 171.73/172.08  (step @p918 :rule trans :premises (@p917 @p780))
% 171.73/172.08  (step @p919 :rule ho_cong :premises (@p600 @p918))
% 171.73/172.08  (step @p920 :rule trans :premises (@p919 @p768))
% 171.73/172.08  (step @p921 :rule ho_cong :premises (@p920 @p763))
% 171.73/172.08  (step @p922 :rule trans :premises (@p921 @p248))
% 171.73/172.08  (step @p923 :rule refl :args (@t148))
% 171.73/172.08  (step @p924 :rule ho_cong :premises (@p923 @p922))
% 171.73/172.08  (step @p925 :rule trans :premises (@p924 @p240))
% 171.73/172.08  (step @p926 :rule refl :args (@t501))
% 171.73/172.08  (step @p927 :rule ho_cong :premises (@p926 @p925))
% 171.73/172.08  (step @p928 :rule trans :premises (@p927 @p235))
% 171.73/172.08  (step @p929 :rule beta-reduce :args ((= @t899 @t544)))
% 171.73/172.08  (step @p930 :rule cong :premises (@p929) :args (@t900))
% 171.73/172.08  (step @p931 :rule nary_cong :premises (@p930 @p325) :args (@t901))
% 171.73/172.08  (step @p932 :rule cong :premises (@p931) :args (@t902))
% 171.73/172.08  (step @p933 :rule cong :premises (@p932) :args (@t903))
% 171.73/172.08  (step @p934 :rule beta-reduce :args ((= (_ @t646 @t590) @t903)))
% 171.73/172.08  (step @p935 :rule trans :premises (@p934 @p933))
% 171.73/172.08  (step @p936 :rule ho_cong :premises (@p361 @p922))
% 171.73/172.08  (step @p937 :rule trans :premises (@p936 @p935))
% 171.73/172.08  (step @p938 :rule ho_cong :premises (@p937 @p928))
% 171.73/172.08  (step @p939 :rule trans :premises (@p938 @p164))
% 171.73/172.08  (step @p940 :rule ho_cong :premises (@p923 @p939))
% 171.73/172.08  (step @p941 :rule trans :premises (@p940 @p156))
% 171.73/172.08  (step @p942 :rule ho_cong :premises (@p926 @p941))
% 171.73/172.08  (step @p943 :rule trans :premises (@p942 @p149))
% 171.73/172.08  (step @p944 :rule refl :args (@t400))
% 171.73/172.08  (step @p945 :rule ho_cong :premises (@p944 @p943))
% 171.73/172.08  (step @p946 :rule trans :premises (@p945 @p69))
% 171.73/172.08  (step @p947 :rule cong :premises (@p946) :args ((not (_ @t400 (_ @t501 (_ @t148 (_ (_ @t646 @t904) (_ @t501 (_ @t148 @t904)))))))))
% 171.73/172.08  (step @p948 :rule refl :args (@t30))
% 171.73/172.08  (step @p949 :rule refl :args (@t500))
% 171.73/172.08  (step @p950 :rule refl :args (@t152))
% 171.73/172.08  (step @p951 :rule cong :premises (@p950 @p949) :args ((= @t152 @t500)))
% 171.73/172.08  (step @p952 :rule symm :premises (@p951))
% 171.73/172.08  (step @p953 :rule eq_resolve :premises (@p950 @p952))
% 171.73/172.08  (step @p954 :rule refl :args (@t391))
% 171.73/172.08  (step @p955 :rule refl :args (@t211))
% 171.73/172.08  (step @p956 :rule cong :premises (@p955 @p954) :args ((= @t211 @t391)))
% 171.73/172.08  (step @p957 :rule symm :premises (@p956))
% 171.73/172.08  (step @p958 :rule eq_resolve :premises (@p955 @p957))
% 171.73/172.08  (step @p959 :rule cong :premises (@p958) :args (@t212))
% 171.73/172.08  (step @p960 :rule nary_cong :premises (@p959 @p953) :args (@t213))
% 171.73/172.08  (step @p961 :rule cong :premises (@p960) :args (@t214))
% 171.73/172.08  (step @p962 :rule cong :premises (@p961) :args (@t215))
% 171.73/172.08  (step @p963 :rule trans :premises (@p61 @p962))
% 171.73/172.08  (step @p964 :rule ho_cong :premises (@p963 @p948))
% 171.73/172.08  (step @p965 :rule refl :args (@t49))
% 171.73/172.08  (step @p966 :rule ho_cong :premises (@p963 @p965))
% 171.73/172.08  (step @p967 :rule beta-reduce :args ((= (_ (lambda @t159 (not @t906)) @t11) @t645)))
% 171.73/172.08  (step @p968 :rule refl :args (@t11))
% 171.73/172.08  (step @p969 :rule beta-reduce :args ((= @t908 @t906)))
% 171.73/172.08  (step @p970 :rule cong :premises (@p969) :args (@t909))
% 171.73/172.08  (step @p971 :rule cong :premises (@p970) :args (@t910))
% 171.73/172.08  (step @p972 :rule beta-reduce :args ((= (_ @t148 @t907) @t910)))
% 171.73/172.08  (step @p973 :rule trans :premises (@p972 @p971))
% 171.73/172.08  (step @p974 :rule beta-reduce :args ((= @t912 @t905)))
% 171.73/172.08  (step @p975 :rule refl :args (@t146))
% 171.73/172.08  (step @p976 :rule nary_cong :premises (@p975 @p974) :args (@t913))
% 171.73/172.08  (step @p977 :rule cong :premises (@p976) :args (@t914))
% 171.73/172.08  (step @p978 :rule beta-reduce :args ((= (_ (lambda @t599 (or @t146 @t150)) @t911) @t914)))
% 171.73/172.08  (step @p979 :rule trans :premises (@p978 @p977))
% 171.73/172.08  (step @p980 :rule beta-reduce :args ((= (_ @t148 @t149) @t911)))
% 171.73/172.08  (step @p981 :rule beta-reduce :args ((= @t916 @t146)))
% 171.73/172.08  (step @p982 :rule nary_cong :premises (@p981 @p444) :args (@t917))
% 171.73/172.08  (step @p983 :rule cong :premises (@p982) :args (@t918))
% 171.73/172.08  (step @p984 :rule beta-reduce :args ((= (_ @t151 @t915) @t918)))
% 171.73/172.08  (step @p985 :rule trans :premises (@p984 @p983))
% 171.73/172.08  (step @p986 :rule beta-reduce :args ((= (_ @t148 @t144) @t915)))
% 171.73/172.08  (step @p987 :rule ho_cong :premises (@p600 @p986))
% 171.73/172.08  (step @p988 :rule trans :premises (@p987 @p985))
% 171.73/172.08  (step @p989 :rule ho_cong :premises (@p988 @p980))
% 171.73/172.08  (step @p990 :rule trans :premises (@p989 @p979))
% 171.73/172.08  (step @p991 :rule ho_cong :premises (@p923 @p990))
% 171.73/172.08  (step @p992 :rule trans :premises (@p991 @p973))
% 171.73/172.08  (step @p993 :rule ho_cong :premises (@p992 @p968))
% 171.73/172.08  (step @p994 :rule trans :premises (@p993 @p967))
% 171.73/172.08  (step @p995 :rule refl :args (@t149))
% 171.73/172.08  (step @p996 :rule ho_cong :premises (@p33 @p995))
% 171.73/172.08  (step @p997 :rule refl :args (@t144))
% 171.73/172.08  (step @p998 :rule ho_cong :premises (@p33 @p997))
% 171.73/172.08  (step @p999 :rule ho_cong :premises (@p34 @p998))
% 171.73/172.08  (step @p1000 :rule ho_cong :premises (@p999 @p996))
% 171.73/172.08  (step @p1001 :rule ho_cong :premises (@p33 @p1000))
% 171.73/172.08  (step @p1002 :rule ho_cong :premises (@p1001 @p968))
% 171.73/172.08  (step @p1003 :rule trans :premises (@p1002 @p994))
% 171.73/172.08  (step @p1004 :rule cong :premises (@p1003) :args (@t165))
% 171.73/172.08  (step @p1005 :rule trans :premises (@p38 @p1004))
% 171.73/172.08  (step @p1006 :rule ho_cong :premises (@p1005 @p966))
% 171.73/172.08  (step @p1007 :rule ho_cong :premises (@p1006 @p964))
% 171.73/172.08  (step @p1008 :rule refl :args (@t68))
% 171.73/172.08  (step @p1009 :rule ho_cong :premises (@p963 @p1008))
% 171.73/172.08  (step @p1010 :rule ho_cong :premises (@p1005 @p1009))
% 171.73/172.08  (step @p1011 :rule ho_cong :premises (@p1010 @p1007))
% 171.73/172.08  (step @p1012 :rule refl :args (@t87))
% 171.73/172.08  (step @p1013 :rule ho_cong :premises (@p963 @p1012))
% 171.73/172.08  (step @p1014 :rule ho_cong :premises (@p1005 @p1013))
% 171.73/172.08  (step @p1015 :rule ho_cong :premises (@p1014 @p1011))
% 171.73/172.08  (step @p1016 :rule refl :args (@t32))
% 171.73/172.08  (step @p1017 :rule ho_cong :premises (@p963 @p1016))
% 171.73/172.08  (step @p1018 :rule refl :args (@t51))
% 171.73/172.08  (step @p1019 :rule ho_cong :premises (@p963 @p1018))
% 171.73/172.08  (step @p1020 :rule ho_cong :premises (@p1005 @p1019))
% 171.73/172.08  (step @p1021 :rule ho_cong :premises (@p1020 @p1017))
% 171.73/172.08  (step @p1022 :rule refl :args (@t70))
% 171.73/172.08  (step @p1023 :rule ho_cong :premises (@p963 @p1022))
% 171.73/172.08  (step @p1024 :rule ho_cong :premises (@p1005 @p1023))
% 171.73/172.08  (step @p1025 :rule ho_cong :premises (@p1024 @p1021))
% 171.73/172.08  (step @p1026 :rule refl :args (@t89))
% 171.73/172.08  (step @p1027 :rule ho_cong :premises (@p963 @p1026))
% 171.73/172.08  (step @p1028 :rule ho_cong :premises (@p1005 @p1027))
% 171.73/172.08  (step @p1029 :rule ho_cong :premises (@p1028 @p1025))
% 171.73/172.08  (step @p1030 :rule ho_cong :premises (@p34 @p1029))
% 171.73/172.08  (step @p1031 :rule ho_cong :premises (@p1030 @p1015))
% 171.73/172.08  (step @p1032 :rule refl :args (@t34))
% 171.73/172.08  (step @p1033 :rule ho_cong :premises (@p963 @p1032))
% 171.73/172.08  (step @p1034 :rule refl :args (@t53))
% 171.73/172.08  (step @p1035 :rule ho_cong :premises (@p963 @p1034))
% 171.73/172.08  (step @p1036 :rule ho_cong :premises (@p1005 @p1035))
% 171.73/172.08  (step @p1037 :rule ho_cong :premises (@p1036 @p1033))
% 171.73/172.08  (step @p1038 :rule refl :args (@t72))
% 171.73/172.08  (step @p1039 :rule ho_cong :premises (@p963 @p1038))
% 171.73/172.08  (step @p1040 :rule ho_cong :premises (@p1005 @p1039))
% 171.73/172.08  (step @p1041 :rule ho_cong :premises (@p1040 @p1037))
% 171.73/172.08  (step @p1042 :rule refl :args (@t91))
% 171.73/172.08  (step @p1043 :rule ho_cong :premises (@p963 @p1042))
% 171.73/172.08  (step @p1044 :rule ho_cong :premises (@p1005 @p1043))
% 171.73/172.08  (step @p1045 :rule ho_cong :premises (@p1044 @p1041))
% 171.73/172.08  (step @p1046 :rule ho_cong :premises (@p34 @p1045))
% 171.73/172.08  (step @p1047 :rule ho_cong :premises (@p1046 @p1031))
% 171.73/172.08  (step @p1048 :rule refl :args (@t36))
% 171.73/172.08  (step @p1049 :rule ho_cong :premises (@p963 @p1048))
% 171.73/172.08  (step @p1050 :rule refl :args (@t55))
% 171.73/172.08  (step @p1051 :rule ho_cong :premises (@p963 @p1050))
% 171.73/172.08  (step @p1052 :rule ho_cong :premises (@p1005 @p1051))
% 171.73/172.08  (step @p1053 :rule ho_cong :premises (@p1052 @p1049))
% 171.73/172.08  (step @p1054 :rule refl :args (@t74))
% 171.73/172.08  (step @p1055 :rule ho_cong :premises (@p963 @p1054))
% 171.73/172.08  (step @p1056 :rule ho_cong :premises (@p1005 @p1055))
% 171.73/172.08  (step @p1057 :rule ho_cong :premises (@p1056 @p1053))
% 171.73/172.08  (step @p1058 :rule refl :args (@t93))
% 171.73/172.08  (step @p1059 :rule ho_cong :premises (@p963 @p1058))
% 171.73/172.08  (step @p1060 :rule ho_cong :premises (@p1005 @p1059))
% 171.73/172.08  (step @p1061 :rule ho_cong :premises (@p1060 @p1057))
% 171.73/172.08  (step @p1062 :rule ho_cong :premises (@p34 @p1061))
% 171.73/172.08  (step @p1063 :rule ho_cong :premises (@p1062 @p1047))
% 171.73/172.08  (step @p1064 :rule ho_cong :premises (@p33 @p1063))
% 171.73/172.08  (step @p1065 :rule ho_cong :premises (@p963 @p1064))
% 171.73/172.08  (step @p1066 :rule ho_cong :premises (@p1005 @p1063))
% 171.73/172.08  (step @p1067 :rule ho_cong :premises (@p1066 @p1065))
% 171.73/172.08  (step @p1068 :rule ho_cong :premises (@p33 @p1067))
% 171.73/172.08  (step @p1069 :rule ho_cong :premises (@p963 @p1068))
% 171.73/172.08  (step @p1070 :rule refl :args (@t399))
% 171.73/172.08  (step @p1071 :rule refl :args (@t145))
% 171.73/172.08  (step @p1072 :rule cong :premises (@p1071 @p1070) :args ((= @t145 @t399)))
% 171.73/172.08  (step @p1073 :rule symm :premises (@p1072))
% 171.73/172.08  (step @p1074 :rule eq_resolve :premises (@p1071 @p1073))
% 171.73/172.08  (step @p1075 :rule cong :premises (@p1074) :args (@t205))
% 171.73/172.08  (step @p1076 :rule cong :premises (@p1075) :args (@t207))
% 171.73/172.08  (step @p1077 :rule trans :premises (@p57 @p1076))
% 171.73/172.08  (step @p1078 :rule ho_cong :premises (@p1077 @p1069))
% 171.73/172.08  (step @p1079 :rule cong :premises (@p1078) :args (@t140))
% 171.73/172.08  (step @p1080 :rule trans :premises (@p1079 @p947))
% 171.73/172.08  (step @p1081 :rule trans :premises (@p1080 @p63))
% 171.73/172.08  (step @p1082 :rule eq_resolve :premises (@p30 @p1081))
% 171.73/172.08  (step @p1083 :rule skolemize :premises (@p1082))
% 171.73/172.08  (step @p1084 :rule bool-double-not-elim :args (@t921))
% 171.73/172.08  (step @p1085 :rule refl :args (@t960))
% 171.73/172.08  (step @p1086 :rule nary_cong :premises (@p1085 @p1084) :args ((or @t960 (not @t922))))
% 171.73/172.08  (step @p1087 :rule cnf_or_neg :args (@t960 2))
% 171.73/172.08  (step @p1088 :rule eq_resolve :premises (@p1087 @p1086))
% 171.73/172.08  (step @p1089 :rule reordering :premises (@p1088) :args ((or @t921 @t960)))
% 171.73/172.08  (step @p1090 :rule chain_m_resolution :premises (@p1089 @p1083) :args (@t921 @t961 @t962))
% 171.73/172.08  (step @p1091 :rule instantiate :premises (@p1090) :args (@t963))
% 171.73/172.08  ; trust TRUST PREPROCESS_HO_ELIM
% 171.73/172.08  (step @p1092 :rule trust :premises () :args ((= @t964 (forall @t179 (_ @t226 (_ @t230 @t229 @t176) @t176)))))
% 171.73/172.08  (step @p1093 :rule beta-reduce :args ((= (_ (lambda @t181 (forall @t179 @t965)) tptp.rel_s4) @t964)))
% 171.73/172.08  (step @p1094 :rule refl :args (tptp.rel_s4))
% 171.73/172.08  (step @p1095 :rule refl :args (@t965))
% 171.73/172.08  (step @p1096 :rule refl :args (@t178))
% 171.73/172.08  (step @p1097 :rule cong :premises (@p1096 @p1095) :args ((= @t178 @t965)))
% 171.73/172.08  (step @p1098 :rule symm :premises (@p1097))
% 171.73/172.08  (step @p1099 :rule eq_resolve :premises (@p1096 @p1098))
% 171.73/172.08  (step @p1100 :rule cong :premises (@p1099) :args (@t180))
% 171.73/172.08  (step @p1101 :rule cong :premises (@p1100) :args (@t182))
% 171.73/172.08  (step @p1102 :rule trans :premises (@p47 @p1101))
% 171.73/172.08  (step @p1103 :rule ho_cong :premises (@p1102 @p1094))
% 171.73/172.08  (step @p1104 :rule trans :premises (@p1103 @p1093))
% 171.73/172.08  (step @p1105 :rule trans :premises (@p1104 @p1092))
% 171.73/172.08  (step @p1106 :rule eq_resolve :premises (@p3 @p1105))
% 171.73/172.08  (step @p1107 :rule instantiate :premises (@p1106) :args (@t963))
% 171.73/172.08  (step @p1108 :rule cnf_or_pos :args (@t1005))
% 171.73/172.08  (step @p1109 :rule reordering :premises (@p1108) :args ((or @t1004 @t1002 (not @t1005))))
% 171.73/172.08  (step @p1110 :rule chain_m_resolution :premises (@p1109 @p1107 @p1091) :args (@t1002 (@list false false) (@list @t1003 @t1005)))
% 171.73/172.08  (step @p1111 :rule cnf_and_pos :args (@t1002 0))
% 171.73/172.08  (step @p1112 :rule reordering :premises (@p1111) :args ((or @t1001 @t1006)))
% 171.73/172.08  (step @p1113 :rule chain_m_resolution :premises (@p1112 @p1110) :args (@t1001 @t1007 @t1008))
% 171.73/172.08  (step @p1114 :rule bool-double-not-elim :args (@t929))
% 171.73/172.08  (step @p1115 :rule refl :args (@t931))
% 171.73/172.08  (step @p1116 :rule nary_cong :premises (@p1115 @p1114) :args ((or @t931 (not @t930))))
% 171.73/172.08  (step @p1117 :rule cnf_or_neg :args (@t931 0))
% 171.73/172.08  (step @p1118 :rule eq_resolve :premises (@p1117 @p1116))
% 171.73/172.08  (step @p1119 :rule reordering :premises (@p1118) :args ((or @t929 @t931)))
% 171.73/172.08  (step @p1120 :rule bool-double-not-elim :args (@t927))
% 171.73/172.08  (step @p1121 :rule nary_cong :premises (@p1115 @p1120) :args ((or @t931 (not @t928))))
% 171.73/172.08  (step @p1122 :rule cnf_or_neg :args (@t931 1))
% 171.73/172.08  (step @p1123 :rule eq_resolve :premises (@p1122 @p1121))
% 171.73/172.08  (step @p1124 :rule reordering :premises (@p1123) :args ((or @t927 @t931)))
% 171.73/172.08  (step @p1125 :rule bool-double-not-elim :args (@t925))
% 171.73/172.08  (step @p1126 :rule nary_cong :premises (@p1115 @p1125) :args ((or @t931 (not @t926))))
% 171.73/172.08  (step @p1127 :rule cnf_or_neg :args (@t931 2))
% 171.73/172.08  (step @p1128 :rule eq_resolve :premises (@p1127 @p1126))
% 171.73/172.08  (step @p1129 :rule reordering :premises (@p1128) :args ((or @t925 @t931)))
% 171.73/172.08  (step @p1130 :rule bool-double-not-elim :args (@t923))
% 171.73/172.08  (step @p1131 :rule nary_cong :premises (@p1115 @p1130) :args ((or @t931 (not @t924))))
% 171.73/172.08  (step @p1132 :rule cnf_or_neg :args (@t931 3))
% 171.73/172.08  (step @p1133 :rule eq_resolve :premises (@p1132 @p1131))
% 171.73/172.08  (step @p1134 :rule reordering :premises (@p1133) :args ((or @t923 @t931)))
% 171.73/172.08  (step @p1135 :rule alpha_equiv :args (@t929 @t435 @t573))
% 171.73/172.08  (step @p1136 :rule equiv_elim1 :premises (@p1135))
% 171.73/172.08  (step @p1137 :rule alpha_equiv :args (@t927 @t431 @t572))
% 171.73/172.08  (step @p1138 :rule equiv_elim1 :premises (@p1137))
% 171.73/172.08  (step @p1139 :rule alpha_equiv :args (@t925 @t427 @t571))
% 171.73/172.08  (step @p1140 :rule equiv_elim1 :premises (@p1139))
% 171.73/172.08  (step @p1141 :rule alpha_equiv :args (@t923 @t423 @t570))
% 171.73/172.08  (step @p1142 :rule equiv_elim1 :premises (@p1141))
% 171.73/172.08  (step @p1143 :rule cnf_and_pos :args (@t1002 3))
% 171.73/172.08  (step @p1144 :rule reordering :premises (@p1143) :args ((or @t974 @t1006)))
% 171.73/172.08  (step @p1145 :rule chain_m_resolution :premises (@p1144 @p1110) :args (@t974 @t1007 @t1008))
% 171.73/172.08  (step @p1146 :rule cnf_or_pos :args (@t974))
% 171.73/172.08  (step @p1147 :rule reordering :premises (@p1146) :args ((or @t973 @t971 @t969 @t967 (not @t974))))
% 171.73/172.08  (step @p1148 :rule chain_m_resolution :premises (@p1147 @p1145 @p1142 @p1140 @p1138 @p1136 @p1134 @p1129 @p1124 @p1119) :args (@t931 @t1009 (@list @t974 @t966 @t968 @t970 @t972 @t923 @t925 @t927 @t929)))
% 171.73/172.08  (step @p1149 :rule bool-double-not-elim :args (@t938))
% 171.73/172.08  (step @p1150 :rule refl :args (@t940))
% 171.73/172.08  (step @p1151 :rule nary_cong :premises (@p1150 @p1149) :args ((or @t940 (not @t939))))
% 171.73/172.08  (step @p1152 :rule cnf_or_neg :args (@t940 0))
% 171.73/172.08  (step @p1153 :rule eq_resolve :premises (@p1152 @p1151))
% 171.73/172.08  (step @p1154 :rule reordering :premises (@p1153) :args ((or @t938 @t940)))
% 171.73/172.08  (step @p1155 :rule bool-double-not-elim :args (@t936))
% 171.73/172.08  (step @p1156 :rule nary_cong :premises (@p1150 @p1155) :args ((or @t940 (not @t937))))
% 171.73/172.08  (step @p1157 :rule cnf_or_neg :args (@t940 1))
% 171.73/172.08  (step @p1158 :rule eq_resolve :premises (@p1157 @p1156))
% 171.73/172.08  (step @p1159 :rule reordering :premises (@p1158) :args ((or @t936 @t940)))
% 171.73/172.08  (step @p1160 :rule bool-double-not-elim :args (@t934))
% 171.73/172.08  (step @p1161 :rule nary_cong :premises (@p1150 @p1160) :args ((or @t940 (not @t935))))
% 171.73/172.08  (step @p1162 :rule cnf_or_neg :args (@t940 2))
% 171.73/172.08  (step @p1163 :rule eq_resolve :premises (@p1162 @p1161))
% 171.73/172.08  (step @p1164 :rule reordering :premises (@p1163) :args ((or @t934 @t940)))
% 171.73/172.08  (step @p1165 :rule bool-double-not-elim :args (@t932))
% 171.73/172.08  (step @p1166 :rule nary_cong :premises (@p1150 @p1165) :args ((or @t940 (not @t933))))
% 171.73/172.08  (step @p1167 :rule cnf_or_neg :args (@t940 3))
% 171.73/172.08  (step @p1168 :rule eq_resolve :premises (@p1167 @p1166))
% 171.73/172.08  (step @p1169 :rule reordering :premises (@p1168) :args ((or @t932 @t940)))
% 171.73/172.08  (step @p1170 :rule alpha_equiv :args (@t938 @t453 @t577))
% 171.73/172.08  (step @p1171 :rule equiv_elim1 :premises (@p1170))
% 171.73/172.08  (step @p1172 :rule alpha_equiv :args (@t936 @t449 @t576))
% 171.73/172.08  (step @p1173 :rule equiv_elim1 :premises (@p1172))
% 171.73/172.08  (step @p1174 :rule alpha_equiv :args (@t934 @t445 @t575))
% 171.73/172.08  (step @p1175 :rule equiv_elim1 :premises (@p1174))
% 171.73/172.08  (step @p1176 :rule alpha_equiv :args (@t932 @t441 @t574))
% 171.73/172.08  (step @p1177 :rule equiv_elim1 :premises (@p1176))
% 171.73/172.08  (step @p1178 :rule cnf_and_pos :args (@t1002 2))
% 171.73/172.08  (step @p1179 :rule reordering :premises (@p1178) :args ((or @t983 @t1006)))
% 171.73/172.08  (step @p1180 :rule chain_m_resolution :premises (@p1179 @p1110) :args (@t983 @t1007 @t1008))
% 171.73/172.08  (step @p1181 :rule cnf_or_pos :args (@t983))
% 171.73/172.08  (step @p1182 :rule reordering :premises (@p1181) :args ((or @t982 @t980 @t978 @t976 (not @t983))))
% 171.73/172.08  (step @p1183 :rule chain_m_resolution :premises (@p1182 @p1180 @p1177 @p1175 @p1173 @p1171 @p1169 @p1164 @p1159 @p1154) :args (@t940 @t1009 (@list @t983 @t975 @t977 @t979 @t981 @t932 @t934 @t936 @t938)))
% 171.73/172.08  (step @p1184 :rule bool-double-not-elim :args (@t947))
% 171.73/172.08  (step @p1185 :rule refl :args (@t949))
% 171.73/172.08  (step @p1186 :rule nary_cong :premises (@p1185 @p1184) :args ((or @t949 (not @t948))))
% 171.73/172.08  (step @p1187 :rule cnf_or_neg :args (@t949 0))
% 171.73/172.08  (step @p1188 :rule eq_resolve :premises (@p1187 @p1186))
% 171.73/172.08  (step @p1189 :rule reordering :premises (@p1188) :args ((or @t947 @t949)))
% 171.73/172.08  (step @p1190 :rule bool-double-not-elim :args (@t945))
% 171.73/172.08  (step @p1191 :rule nary_cong :premises (@p1185 @p1190) :args ((or @t949 (not @t946))))
% 171.73/172.08  (step @p1192 :rule cnf_or_neg :args (@t949 1))
% 171.73/172.08  (step @p1193 :rule eq_resolve :premises (@p1192 @p1191))
% 171.73/172.08  (step @p1194 :rule reordering :premises (@p1193) :args ((or @t945 @t949)))
% 171.73/172.08  (step @p1195 :rule bool-double-not-elim :args (@t943))
% 171.73/172.08  (step @p1196 :rule nary_cong :premises (@p1185 @p1195) :args ((or @t949 (not @t944))))
% 171.73/172.08  (step @p1197 :rule cnf_or_neg :args (@t949 2))
% 171.73/172.08  (step @p1198 :rule eq_resolve :premises (@p1197 @p1196))
% 171.73/172.08  (step @p1199 :rule reordering :premises (@p1198) :args ((or @t943 @t949)))
% 171.73/172.08  (step @p1200 :rule bool-double-not-elim :args (@t941))
% 171.73/172.08  (step @p1201 :rule nary_cong :premises (@p1185 @p1200) :args ((or @t949 (not @t942))))
% 171.73/172.08  (step @p1202 :rule cnf_or_neg :args (@t949 3))
% 171.73/172.08  (step @p1203 :rule eq_resolve :premises (@p1202 @p1201))
% 171.73/172.08  (step @p1204 :rule reordering :premises (@p1203) :args ((or @t941 @t949)))
% 171.73/172.08  (step @p1205 :rule alpha_equiv :args (@t947 @t471 @t581))
% 171.73/172.08  (step @p1206 :rule equiv_elim1 :premises (@p1205))
% 171.73/172.08  (step @p1207 :rule alpha_equiv :args (@t945 @t467 @t580))
% 171.73/172.08  (step @p1208 :rule equiv_elim1 :premises (@p1207))
% 171.73/172.08  (step @p1209 :rule alpha_equiv :args (@t943 @t463 @t579))
% 171.73/172.08  (step @p1210 :rule equiv_elim1 :premises (@p1209))
% 171.73/172.08  (step @p1211 :rule alpha_equiv :args (@t941 @t459 @t578))
% 171.73/172.08  (step @p1212 :rule equiv_elim1 :premises (@p1211))
% 171.73/172.08  (step @p1213 :rule cnf_and_pos :args (@t1002 1))
% 171.73/172.08  (step @p1214 :rule reordering :premises (@p1213) :args ((or @t992 @t1006)))
% 171.73/172.08  (step @p1215 :rule chain_m_resolution :premises (@p1214 @p1110) :args (@t992 @t1007 @t1008))
% 171.73/172.08  (step @p1216 :rule cnf_or_pos :args (@t992))
% 171.73/172.08  (step @p1217 :rule reordering :premises (@p1216) :args ((or @t991 @t989 @t987 @t985 (not @t992))))
% 171.73/172.08  (step @p1218 :rule chain_m_resolution :premises (@p1217 @p1215 @p1212 @p1210 @p1208 @p1206 @p1204 @p1199 @p1194 @p1189) :args (@t949 @t1009 (@list @t992 @t984 @t986 @t988 @t990 @t941 @t943 @t945 @t947)))
% 171.73/172.08  (step @p1219 :rule cnf_or_neg :args (@t960 1))
% 171.73/172.08  (step @p1220 :rule chain_m_resolution :premises (@p1219 @p1083) :args ((not @t959) @t961 @t962))
% 171.73/172.08  (step @p1221 :rule cnf_and_neg :args (@t959))
% 171.73/172.08  (step @p1222 :rule chain_m_resolution :premises (@p1221 @p1220 @p1218 @p1183 @p1148) :args ((not @t958) (@list true false false false) (@list @t959 @t949 @t940 @t931)))
% 171.73/172.08  (step @p1223 :rule bool-double-not-elim :args (@t954))
% 171.73/172.08  (step @p1224 :rule refl :args (@t958))
% 171.73/172.08  (step @p1225 :rule nary_cong :premises (@p1224 @p1223) :args ((or @t958 (not @t955))))
% 171.73/172.08  (step @p1226 :rule cnf_or_neg :args (@t958 1))
% 171.73/172.08  (step @p1227 :rule eq_resolve :premises (@p1226 @p1225))
% 171.73/172.08  (step @p1228 :rule reordering :premises (@p1227) :args ((or @t954 @t958)))
% 171.73/172.08  (step @p1229 :rule chain_m_resolution :premises (@p1228 @p1222) :args (@t954 @t961 @t1010))
% 171.73/172.08  (step @p1230 :rule alpha_equiv :args (@t954 @t485 @t584))
% 171.73/172.08  (step @p1231 :rule equiv_elim1 :premises (@p1230))
% 171.73/172.08  (step @p1232 :rule chain_m_resolution :premises (@p1231 @p1229) :args (@t997 @t1007 (@list @t954)))
% 171.73/172.08  (step @p1233 :rule bool-double-not-elim :args (@t956))
% 171.73/172.08  (step @p1234 :rule nary_cong :premises (@p1224 @p1233) :args ((or @t958 (not @t957))))
% 171.73/172.08  (step @p1235 :rule cnf_or_neg :args (@t958 0))
% 171.73/172.08  (step @p1236 :rule eq_resolve :premises (@p1235 @p1234))
% 171.73/172.08  (step @p1237 :rule reordering :premises (@p1236) :args ((or @t956 @t958)))
% 171.73/172.08  (step @p1238 :rule chain_m_resolution :premises (@p1237 @p1222) :args (@t956 @t961 @t1010))
% 171.73/172.08  (step @p1239 :rule alpha_equiv :args (@t956 @t489 @t585))
% 171.73/172.08  (step @p1240 :rule equiv_elim1 :premises (@p1239))
% 171.73/172.08  (step @p1241 :rule chain_m_resolution :premises (@p1240 @p1238) :args (@t999 @t1007 (@list @t956)))
% 171.73/172.08  (step @p1242 :rule bool-double-not-elim :args (@t952))
% 171.73/172.08  (step @p1243 :rule nary_cong :premises (@p1224 @p1242) :args ((or @t958 (not @t953))))
% 171.73/172.08  (step @p1244 :rule cnf_or_neg :args (@t958 2))
% 171.73/172.08  (step @p1245 :rule eq_resolve :premises (@p1244 @p1243))
% 171.73/172.08  (step @p1246 :rule reordering :premises (@p1245) :args ((or @t952 @t958)))
% 171.73/172.08  (step @p1247 :rule chain_m_resolution :premises (@p1246 @p1222) :args (@t952 @t961 @t1010))
% 171.73/172.08  (step @p1248 :rule alpha_equiv :args (@t952 @t481 @t583))
% 171.73/172.08  (step @p1249 :rule equiv_elim1 :premises (@p1248))
% 171.73/172.08  (step @p1250 :rule chain_m_resolution :premises (@p1249 @p1247) :args (@t995 @t1007 (@list @t952)))
% 171.73/172.08  (step @p1251 :rule bool-double-not-elim :args (@t950))
% 171.73/172.08  (step @p1252 :rule nary_cong :premises (@p1224 @p1251) :args ((or @t958 (not @t951))))
% 171.73/172.08  (step @p1253 :rule cnf_or_neg :args (@t958 3))
% 171.73/172.08  (step @p1254 :rule eq_resolve :premises (@p1253 @p1252))
% 171.73/172.08  (step @p1255 :rule reordering :premises (@p1254) :args ((or @t950 @t958)))
% 171.73/172.08  (step @p1256 :rule chain_m_resolution :premises (@p1255 @p1222) :args (@t950 @t961 @t1010))
% 171.73/172.08  (step @p1257 :rule alpha_equiv :args (@t950 @t477 @t582))
% 171.73/172.08  (step @p1258 :rule equiv_elim1 :premises (@p1257))
% 171.73/172.08  (step @p1259 :rule chain_m_resolution :premises (@p1258 @p1256) :args (@t993 @t1007 (@list @t950)))
% 171.73/172.08  (step @p1260 :rule cnf_or_pos :args (@t1001))
% 171.73/172.08  (step @p1261 :rule reordering :premises (@p1260) :args ((or @t1000 @t998 @t996 @t994 (not @t1001))))
% 171.73/172.08  (step @p1262 false :rule chain_m_resolution :premises (@p1261 @p1259 @p1250 @p1241 @p1232 @p1113) :args (false (@list false false false false false) (@list @t993 @t995 @t999 @t997 @t1001)))
% 171.73/172.08  )
% 171.73/172.08  % SZS output end Proof
% 171.73/172.08  % cvc5 exiting
%------------------------------------------------------------------------------