TSTP Solution File: ITP411_1 by cvc5---1.0.5

%------------------------------------------------------------------------------
% File     : cvc5---1.0.5
% Problem  : ITP001_1 : TPTP v8.1.2. Released v8.1.0.
% Transfm  : none
% Format   : tptp
% Command  : do_cvc5 %s %d

% Computer : n025.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 : Thu Aug 31 03:33:44 EDT 2023

% Result   : Theorem 15.85s 16.19s
% Output   : Proof 15.85s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.24  % Problem    : ITP001_1 : TPTP v8.1.2. Released v8.1.0.
% 0.12/0.24  % Command    : do_cvc5 %s %d
% 0.25/0.45  % Computer : n025.cluster.edu
% 0.25/0.45  % Model    : x86_64 x86_64
% 0.25/0.45  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.25/0.45  % Memory   : 8042.1875MB
% 0.25/0.45  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.25/0.45  % CPULimit   : 300
% 0.25/0.45  % WCLimit    : 300
% 0.25/0.45  % DateTime   : Sun Aug 27 10:50:38 EDT 2023
% 0.25/0.45  % CPUTime    : 
% 0.31/0.73  %----Proving TF0_ARI
% 15.85/16.19  ------- convert to smt2 : /export/starexec/sandbox/tmp/tmp.OGlFqS8L4p/cvc5---1.0.5_12230.p...
% 15.85/16.19  ------- get file name : TPTP file name is ITP001_1
% 15.85/16.19  ------- cvc5-tfa : /export/starexec/sandbox/solver/bin/cvc5---1.0.5_12230.smt2...
% 15.85/16.19  --- Run --finite-model-find --decision=internal at 15...
% 15.85/16.19  --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15...
% 15.85/16.19  % SZS status Theorem for ITP001_1
% 15.85/16.19  % SZS output start Proof for ITP001_1
% 15.85/16.19  (
% 15.85/16.19  (let ((_let_1 (forall ((A__questionmark_v0 |tptp.'A_constr_list$'|) (A__questionmark_v1 |tptp.'Nat$'|) (A__questionmark_v2 |tptp.'A_TESL_atomic_list$'|) (A__questionmark_v3 |tptp.'A_TESL_atomic_list$'|)) (= (|tptp.'heronConf_interpretation$'| (|tptp.'pair$'| A__questionmark_v0 (|tptp.'pair$a'| A__questionmark_v1 (|tptp.'pair$b'| A__questionmark_v2 A__questionmark_v3)))) (|tptp.'fun_app$f'| (|tptp.'fun_app$g'| |tptp.'inf$'| (|tptp.'fun_app$f'| (|tptp.'fun_app$g'| |tptp.'inf$'| (|tptp.'symbolic_run_interpretation$'| A__questionmark_v0)) (|tptp.'tESL_interpretation_stepwise$'| A__questionmark_v2 A__questionmark_v1))) (|tptp.'tESL_interpretation_stepwise$'| A__questionmark_v3 (|tptp.'nat$'| (+ (|tptp.'fun_app$h'| |tptp.'of_nat$'| A__questionmark_v1) 1)))))))) (let ((_let_2 (|tptp.'fun_app$h'| |tptp.'of_nat$'| |tptp.'n$'|))) (let ((_let_3 (|tptp.'fun_app$e'| (|tptp.'cons$'| (|tptp.'strictlyPrecedes$'| |tptp.'k_1$'| |tptp.'k_2$'|)) |tptp.'psi$'|))) (let ((_let_4 (|tptp.'fun_app$g'| |tptp.'inf$'| (|tptp.'fun_app$f'| (|tptp.'fun_app$g'| |tptp.'inf$'| (|tptp.'symbolic_run_interpretation$'| |tptp.'gamma$'|)) (|tptp.'tESL_interpretation_stepwise$'| _let_3 |tptp.'n$'|))))) (let ((_let_5 (|tptp.'heronConf_interpretation$'| (|tptp.'pair$'| |tptp.'gamma$'| (|tptp.'pair$a'| |tptp.'n$'| (|tptp.'pair$b'| _let_3 |tptp.'phi$'|)))))) (let ((_let_6 (not (= _let_5 (|tptp.'fun_app$f'| _let_4 (|tptp.'tESL_interpretation_stepwise$'| |tptp.'phi$'| (|tptp.'nat$'| (+ _let_2 1)))))))) (let ((_let_7 (= _let_5 (|tptp.'fun_app$f'| _let_4 (|tptp.'tESL_interpretation_stepwise$'| |tptp.'phi$'| (|tptp.'nat$'| (+ 1 _let_2))))))) (let ((_let_8 (forall ((A__questionmark_v0 |tptp.'A_constr_list$'|) (A__questionmark_v1 |tptp.'Nat$'|) (A__questionmark_v2 |tptp.'A_TESL_atomic_list$'|) (A__questionmark_v3 |tptp.'A_TESL_atomic_list$'|)) (= (|tptp.'heronConf_interpretation$'| (|tptp.'pair$'| A__questionmark_v0 (|tptp.'pair$a'| A__questionmark_v1 (|tptp.'pair$b'| A__questionmark_v2 A__questionmark_v3)))) (|tptp.'fun_app$f'| (|tptp.'fun_app$g'| |tptp.'inf$'| (|tptp.'fun_app$f'| (|tptp.'fun_app$g'| |tptp.'inf$'| (|tptp.'symbolic_run_interpretation$'| A__questionmark_v0)) (|tptp.'tESL_interpretation_stepwise$'| A__questionmark_v2 A__questionmark_v1))) (|tptp.'tESL_interpretation_stepwise$'| A__questionmark_v3 (|tptp.'nat$'| (+ 1 (|tptp.'fun_app$h'| |tptp.'of_nat$'| A__questionmark_v1))))))))) (let ((_let_9 (EQ_RESOLVE (ASSUME :args (_let_1)) (MACRO_SR_EQ_INTRO :args (_let_1 SB_DEFAULT SBA_FIXPOINT))))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (REORDERING (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_9 :args (|tptp.'gamma$'| |tptp.'n$'| _let_3 |tptp.'phi$'| QUANTIFIERS_INST_E_MATCHING ((|tptp.'pair$'| A__questionmark_v0 (|tptp.'pair$a'| A__questionmark_v1 (|tptp.'pair$b'| A__questionmark_v2 A__questionmark_v3)))))) :args (_let_8))) :args ((or _let_7 (not _let_8)))) _let_9 (EQ_RESOLVE (ASSUME :args (_let_6)) (MACRO_SR_EQ_INTRO :args (_let_6 SB_DEFAULT SBA_FIXPOINT))) :args (false false _let_8 true _let_7)) :args ((forall ((A__questionmark_v0 |tptp.'Nat_list_a_TESL_atomic_list_a_TESL_atomic_list_prod_list_prod_set$'|) (A__questionmark_v1 |tptp.'Nat_list_a_TESL_atomic_list_a_TESL_atomic_list_prod_list_prod$'|)) (= (|tptp.'fun_app$'| (|tptp.'uu$'| A__questionmark_v0) A__questionmark_v1) (|tptp.'member$'| A__questionmark_v1 A__questionmark_v0))) (forall ((A__questionmark_v0 |tptp.'Nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod_set$'|) (A__questionmark_v1 |tptp.'Nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod$'|)) (= (|tptp.'fun_app$a'| (|tptp.'uua$'| A__questionmark_v0) A__questionmark_v1) (|tptp.'member$a'| A__questionmark_v1 A__questionmark_v0))) (forall ((A__questionmark_v0 |tptp.'A_TESL_atomic_set$'|) (A__questionmark_v1 |tptp.'A_TESL_atomic$'|)) (= (|tptp.'fun_app$b'| (|tptp.'uub$'| A__questionmark_v0) A__questionmark_v1) (|tptp.'member$b'| A__questionmark_v1 A__questionmark_v0))) (forall ((A__questionmark_v0 |tptp.'A_TESL_atomic_list_set$'|) (A__questionmark_v1 |tptp.'A_TESL_atomic_list$'|)) (= (|tptp.'fun_app$c'| (|tptp.'uuc$'| A__questionmark_v0) A__questionmark_v1) (|tptp.'member$c'| A__questionmark_v1 A__questionmark_v0))) (forall ((A__questionmark_v0 |tptp.'A_run_set$'|) (A__questionmark_v1 |tptp.'A_run$'|)) (= (|tptp.'fun_app$d'| (|tptp.'uud$'| A__questionmark_v0) A__questionmark_v1) (|tptp.'member$d'| A__questionmark_v1 A__questionmark_v0))) _let_6 (forall ((A__questionmark_v0 |tptp.'A_constr_list_nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod_prod$'|)) (=> (forall ((A__questionmark_v1 |tptp.'A_constr_list$'|) (A__questionmark_v2 |tptp.'Nat$'|) (A__questionmark_v3 |tptp.'A_TESL_atomic_list$'|) (A__questionmark_v4 |tptp.'A_TESL_atomic_list$'|)) (=> (= A__questionmark_v0 (|tptp.'pair$'| A__questionmark_v1 (|tptp.'pair$a'| A__questionmark_v2 (|tptp.'pair$b'| A__questionmark_v3 A__questionmark_v4)))) false)) false)) (forall ((A__questionmark_v0 |tptp.'A_constr_list_nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod_prod$'|) (A__questionmark_v1 |tptp.'A_run_set$'|)) (=> (and (= (|tptp.'heronConf_interpretation$'| A__questionmark_v0) A__questionmark_v1) (forall ((A__questionmark_v2 |tptp.'A_constr_list$'|) (A__questionmark_v3 |tptp.'Nat$'|) (A__questionmark_v4 |tptp.'A_TESL_atomic_list$'|) (A__questionmark_v5 |tptp.'A_TESL_atomic_list$'|)) (=> (and (= A__questionmark_v0 (|tptp.'pair$'| A__questionmark_v2 (|tptp.'pair$a'| A__questionmark_v3 (|tptp.'pair$b'| A__questionmark_v4 A__questionmark_v5)))) (= A__questionmark_v1 (|tptp.'fun_app$f'| (|tptp.'fun_app$g'| |tptp.'inf$'| (|tptp.'fun_app$f'| (|tptp.'fun_app$g'| |tptp.'inf$'| (|tptp.'symbolic_run_interpretation$'| A__questionmark_v2)) (|tptp.'tESL_interpretation_stepwise$'| A__questionmark_v4 A__questionmark_v3))) (|tptp.'tESL_interpretation_stepwise$'| A__questionmark_v5 (|tptp.'nat$'| (+ (|tptp.'fun_app$h'| |tptp.'of_nat$'| A__questionmark_v3) 1)))))) false))) false)) _let_1 (forall ((A__questionmark_v0 |tptp.'A_constr_list_nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod_prod$'|)) (=> (forall ((A__questionmark_v1 |tptp.'A_constr_list$'|) (A__questionmark_v2 |tptp.'Nat$'|) (A__questionmark_v3 |tptp.'A_TESL_atomic_list$'|) (A__questionmark_v4 |tptp.'A_TESL_atomic_list$'|)) (=> (= A__questionmark_v0 (|tptp.'pair$'| A__questionmark_v1 (|tptp.'pair$a'| A__questionmark_v2 (|tptp.'pair$b'| A__questionmark_v3 A__questionmark_v4)))) false)) false)) (forall ((A__questionmark_v0 |tptp.'A_constr_list_nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod_prod_bool_fun$'|) (A__questionmark_v1 |tptp.'A_constr_list_nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod_prod$'|)) (=> (forall ((A__questionmark_v2 |tptp.'A_constr_list$'|) (A__questionmark_v3 |tptp.'Nat$'|) (A__questionmark_v4 |tptp.'A_TESL_atomic_list$'|) (A__questionmark_v5 |tptp.'A_TESL_atomic_list$'|)) (|tptp.'fun_app$i'| A__questionmark_v0 (|tptp.'pair$'| A__questionmark_v2 (|tptp.'pair$a'| A__questionmark_v3 (|tptp.'pair$b'| A__questionmark_v4 A__questionmark_v5))))) (|tptp.'fun_app$i'| A__questionmark_v0 A__questionmark_v1))) (forall ((A__questionmark_v0 |tptp.'Clock$'|) (A__questionmark_v1 |tptp.'Clock$'|) (A__questionmark_v2 |tptp.'Clock$'|) (A__questionmark_v3 |tptp.'Clock$'|)) (= (= (|tptp.'strictlyPrecedes$'| A__questionmark_v0 A__questionmark_v1) (|tptp.'strictlyPrecedes$'| A__questionmark_v2 A__questionmark_v3)) (and (= A__questionmark_v0 A__questionmark_v2) (= A__questionmark_v1 A__questionmark_v3)))) (forall ((A__questionmark_v0 |tptp.'Nat_list_a_TESL_atomic_list_a_TESL_atomic_list_prod_list_prod$'|) (A__questionmark_v1 |tptp.'Nat_list_a_TESL_atomic_list_a_TESL_atomic_list_prod_list_prod_set$'|) (A__questionmark_v2 |tptp.'Nat_list_a_TESL_atomic_list_a_TESL_atomic_list_prod_list_prod_set$'|)) (=> (and (|tptp.'member$'| A__questionmark_v0 A__questionmark_v1) (|tptp.'member$'| A__questionmark_v0 A__questionmark_v2)) (|tptp.'member$'| A__questionmark_v0 (|tptp.'inf$a'| A__questionmark_v1 A__questionmark_v2)))) (forall ((A__questionmark_v0 |tptp.'Nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod$'|) (A__questionmark_v1 |tptp.'Nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod_set$'|) (A__questionmark_v2 |tptp.'Nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod_set$'|)) (=> (and (|tptp.'member$a'| A__questionmark_v0 A__questionmark_v1) (|tptp.'member$a'| A__questionmark_v0 A__questionmark_v2)) (|tptp.'member$a'| A__questionmark_v0 (|tptp.'inf$b'| A__questionmark_v1 A__questionmark_v2)))) (forall ((A__questionmark_v0 |tptp.'A_TESL_atomic$'|) (A__questionmark_v1 |tptp.'A_TESL_atomic_set$'|) (A__questionmark_v2 |tptp.'A_TESL_atomic_set$'|)) (=> (and (|tptp.'member$b'| A__questionmark_v0 A__questionmark_v1) (|tptp.'member$b'| A__questionmark_v0 A__questionmark_v2)) (|tptp.'member$b'| A__questionmark_v0 (|tptp.'inf$c'| A__questionmark_v1 A__questionmark_v2)))) (forall ((A__questionmark_v0 |tptp.'A_TESL_atomic_list$'|) (A__questionmark_v1 |tptp.'A_TESL_atomic_list_set$'|) (A__questionmark_v2 |tptp.'A_TESL_atomic_list_set$'|)) (=> (and (|tptp.'member$c'| A__questionmark_v0 A__questionmark_v1) (|tptp.'member$c'| A__questionmark_v0 A__questionmark_v2)) (|tptp.'member$c'| A__questionmark_v0 (|tptp.'inf$d'| A__questionmark_v1 A__questionmark_v2)))) (forall ((A__questionmark_v0 |tptp.'A_run$'|) (A__questionmark_v1 |tptp.'A_run_set$'|) (A__questionmark_v2 |tptp.'A_run_set$'|)) (=> (and (|tptp.'member$d'| A__questionmark_v0 A__questionmark_v1) (|tptp.'member$d'| A__questionmark_v0 A__questionmark_v2)) (|tptp.'member$d'| A__questionmark_v0 (|tptp.'fun_app$f'| (|tptp.'fun_app$g'| |tptp.'inf$'| A__questionmark_v1) A__questionmark_v2)))) (forall ((A__questionmark_v0 |tptp.'Nat_list_a_TESL_atomic_list_a_TESL_atomic_list_prod_list_prod$'|) (A__questionmark_v1 |tptp.'Nat_list_a_TESL_atomic_list_a_TESL_atomic_list_prod_list_prod_set$'|) (A__questionmark_v2 |tptp.'Nat_list_a_TESL_atomic_list_a_TESL_atomic_list_prod_list_prod_set$'|)) (= (|tptp.'member$'| A__questionmark_v0 (|tptp.'inf$a'| A__questionmark_v1 A__questionmark_v2)) (and (|tptp.'member$'| A__questionmark_v0 A__questionmark_v1) (|tptp.'member$'| A__questionmark_v0 A__questionmark_v2)))) (forall ((A__questionmark_v0 |tptp.'Nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod$'|) (A__questionmark_v1 |tptp.'Nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod_set$'|) (A__questionmark_v2 |tptp.'Nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod_set$'|)) (= (|tptp.'member$a'| A__questionmark_v0 (|tptp.'inf$b'| A__questionmark_v1 A__questionmark_v2)) (and (|tptp.'member$a'| A__questionmark_v0 A__questionmark_v1) (|tptp.'member$a'| A__questionmark_v0 A__questionmark_v2)))) (forall ((A__questionmark_v0 |tptp.'A_TESL_atomic$'|) (A__questionmark_v1 |tptp.'A_TESL_atomic_set$'|) (A__questionmark_v2 |tptp.'A_TESL_atomic_set$'|)) (= (|tptp.'member$b'| A__questionmark_v0 (|tptp.'inf$c'| A__questionmark_v1 A__questionmark_v2)) (and (|tptp.'member$b'| A__questionmark_v0 A__questionmark_v1) (|tptp.'member$b'| A__questionmark_v0 A__questionmark_v2)))) (forall ((A__questionmark_v0 |tptp.'A_TESL_atomic_list$'|) (A__questionmark_v1 |tptp.'A_TESL_atomic_list_set$'|) (A__questionmark_v2 |tptp.'A_TESL_atomic_list_set$'|)) (= (|tptp.'member$c'| A__questionmark_v0 (|tptp.'inf$d'| A__questionmark_v1 A__questionmark_v2)) (and (|tptp.'member$c'| A__questionmark_v0 A__questionmark_v1) (|tptp.'member$c'| A__questionmark_v0 A__questionmark_v2)))) (forall ((A__questionmark_v0 |tptp.'A_run$'|) (A__questionmark_v1 |tptp.'A_run_set$'|) (A__questionmark_v2 |tptp.'A_run_set$'|)) (= (|tptp.'member$d'| A__questionmark_v0 (|tptp.'fun_app$f'| (|tptp.'fun_app$g'| |tptp.'inf$'| A__questionmark_v1) A__questionmark_v2)) (and (|tptp.'member$d'| A__questionmark_v0 A__questionmark_v1) (|tptp.'member$d'| A__questionmark_v0 A__questionmark_v2)))) (forall ((A__questionmark_v0 Int)) (= (|tptp.'fun_app$k'| (|tptp.'fun_app$j'| |tptp.'inf$e'| A__questionmark_v0) A__questionmark_v0) A__questionmark_v0)) (forall ((A__questionmark_v0 |tptp.'A_run_set$'|)) (= (|tptp.'fun_app$f'| (|tptp.'fun_app$g'| |tptp.'inf$'| A__questionmark_v0) A__questionmark_v0) A__questionmark_v0)) (forall ((A__questionmark_v0 |tptp.'A_TESL_atomic_list_list$'|) (A__questionmark_v1 |tptp.'A_TESL_atomic_list_list$'|) (A__questionmark_v2 |tptp.'A_TESL_atomic_list_list$'|) (A__questionmark_v3 |tptp.'A_TESL_atomic_list_list$'|)) (= (= (|tptp.'pair$c'| A__questionmark_v0 A__questionmark_v1) (|tptp.'pair$c'| A__questionmark_v2 A__questionmark_v3)) (and (= A__questionmark_v0 A__questionmark_v2) (= A__questionmark_v1 A__questionmark_v3)))) (forall ((A__questionmark_v0 |tptp.'Nat_list$'|) (A__questionmark_v1 |tptp.'A_TESL_atomic_list_a_TESL_atomic_list_prod_list$'|) (A__questionmark_v2 |tptp.'Nat_list$'|) (A__questionmark_v3 |tptp.'A_TESL_atomic_list_a_TESL_atomic_list_prod_list$'|)) (= (= (|tptp.'pair$d'| A__questionmark_v0 A__questionmark_v1) (|tptp.'pair$d'| A__questionmark_v2 A__questionmark_v3)) (and (= A__questionmark_v0 A__questionmark_v2) (= A__questionmark_v1 A__questionmark_v3)))) (forall ((A__questionmark_v0 |tptp.'Nat$'|) (A__questionmark_v1 |tptp.'A_TESL_atomic$'|) (A__questionmark_v2 |tptp.'Nat$'|) (A__questionmark_v3 |tptp.'A_TESL_atomic$'|)) (= (= (|tptp.'pair$e'| A__questionmark_v0 A__questionmark_v1) (|tptp.'pair$e'| A__questionmark_v2 A__questionmark_v3)) (and (= A__questionmark_v0 A__questionmark_v2) (= A__questionmark_v1 A__questionmark_v3)))) (forall ((A__questionmark_v0 |tptp.'A_TESL_atomic_a_TESL_atomic_fun$'|) (A__questionmark_v1 |tptp.'A_TESL_atomic_list_a_TESL_atomic_list_prod$'|) (A__questionmark_v2 |tptp.'A_TESL_atomic_a_TESL_atomic_fun$'|) (A__questionmark_v3 |tptp.'A_TESL_atomic_list_a_TESL_atomic_list_prod$'|)) (= (= (|tptp.'pair$f'| A__questionmark_v0 A__questionmark_v1) (|tptp.'pair$f'| A__questionmark_v2 A__questionmark_v3)) (and (= A__questionmark_v0 A__questionmark_v2) (= A__questionmark_v1 A__questionmark_v3)))) (forall ((A__questionmark_v0 |tptp.'A_TESL_atomic_a_TESL_atomic_bool_fun_fun$'|) (A__questionmark_v1 |tptp.'A_TESL_atomic_list$'|) (A__questionmark_v2 |tptp.'A_TESL_atomic_a_TESL_atomic_bool_fun_fun$'|) (A__questionmark_v3 |tptp.'A_TESL_atomic_list$'|)) (= (= (|tptp.'pair$g'| A__questionmark_v0 A__questionmark_v1) (|tptp.'pair$g'| A__questionmark_v2 A__questionmark_v3)) (and (= A__questionmark_v0 A__questionmark_v2) (= A__questionmark_v1 A__questionmark_v3)))) (forall ((A__questionmark_v0 |tptp.'A_constr_list$'|) (A__questionmark_v1 |tptp.'Nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod$'|) (A__questionmark_v2 |tptp.'A_constr_list$'|) (A__questionmark_v3 |tptp.'Nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod$'|)) (= (= (|tptp.'pair$'| A__questionmark_v0 A__questionmark_v1) (|tptp.'pair$'| A__questionmark_v2 A__questionmark_v3)) (and (= A__questionmark_v0 A__questionmark_v2) (= A__questionmark_v1 A__questionmark_v3)))) (forall ((A__questionmark_v0 |tptp.'Nat$'|) (A__questionmark_v1 |tptp.'A_TESL_atomic_list_a_TESL_atomic_list_prod$'|) (A__questionmark_v2 |tptp.'Nat$'|) (A__questionmark_v3 |tptp.'A_TESL_atomic_list_a_TESL_atomic_list_prod$'|)) (= (= (|tptp.'pair$a'| A__questionmark_v0 A__questionmark_v1) (|tptp.'pair$a'| A__questionmark_v2 A__questionmark_v3)) (and (= A__questionmark_v0 A__questionmark_v2) (= A__questionmark_v1 A__questionmark_v3)))) (forall ((A__questionmark_v0 |tptp.'A_TESL_atomic_list$'|) (A__questionmark_v1 |tptp.'A_TESL_atomic_list$'|) (A__questionmark_v2 |tptp.'A_TESL_atomic_list$'|) (A__questionmark_v3 |tptp.'A_TESL_atomic_list$'|)) (= (= (|tptp.'pair$b'| A__questionmark_v0 A__questionmark_v1) (|tptp.'pair$b'| A__questionmark_v2 A__questionmark_v3)) (and (= A__questionmark_v0 A__questionmark_v2) (= A__questionmark_v1 A__questionmark_v3)))) (forall ((A__questionmark_v0 |tptp.'A_TESL_atomic_list_list$'|) (A__questionmark_v1 |tptp.'A_TESL_atomic_list_list$'|) (A__questionmark_v2 |tptp.'A_TESL_atomic_list_list$'|) (A__questionmark_v3 |tptp.'A_TESL_atomic_list_list$'|)) (= (= (|tptp.'pair$c'| A__questionmark_v0 A__questionmark_v1) (|tptp.'pair$c'| A__questionmark_v2 A__questionmark_v3)) (and (= A__questionmark_v0 A__questionmark_v2) (= A__questionmark_v1 A__questionmark_v3)))) (forall ((A__questionmark_v0 |tptp.'Nat_list$'|) (A__questionmark_v1 |tptp.'A_TESL_atomic_list_a_TESL_atomic_list_prod_list$'|) (A__questionmark_v2 |tptp.'Nat_list$'|) (A__questionmark_v3 |tptp.'A_TESL_atomic_list_a_TESL_atomic_list_prod_list$'|)) (= (= (|tptp.'pair$d'| A__questionmark_v0 A__questionmark_v1) (|tptp.'pair$d'| A__questionmark_v2 A__questionmark_v3)) (and (= A__questionmark_v0 A__questionmark_v2) (= A__questionmark_v1 A__questionmark_v3)))) (forall ((A__questionmark_v0 |tptp.'Nat$'|) (A__questionmark_v1 |tptp.'A_TESL_atomic$'|) (A__questionmark_v2 |tptp.'Nat$'|) (A__questionmark_v3 |tptp.'A_TESL_atomic$'|)) (= (= (|tptp.'pair$e'| A__questionmark_v0 A__questionmark_v1) (|tptp.'pair$e'| A__questionmark_v2 A__questionmark_v3)) (and (= A__questionmark_v0 A__questionmark_v2) (= A__questionmark_v1 A__questionmark_v3)))) (forall ((A__questionmark_v0 |tptp.'A_TESL_atomic_a_TESL_atomic_fun$'|) (A__questionmark_v1 |tptp.'A_TESL_atomic_list_a_TESL_atomic_list_prod$'|) (A__questionmark_v2 |tptp.'A_TESL_atomic_a_TESL_atomic_fun$'|) (A__questionmark_v3 |tptp.'A_TESL_atomic_list_a_TESL_atomic_list_prod$'|)) (= (= (|tptp.'pair$f'| A__questionmark_v0 A__questionmark_v1) (|tptp.'pair$f'| A__questionmark_v2 A__questionmark_v3)) (and (= A__questionmark_v0 A__questionmark_v2) (= A__questionmark_v1 A__questionmark_v3)))) (forall ((A__questionmark_v0 |tptp.'A_TESL_atomic_a_TESL_atomic_bool_fun_fun$'|) (A__questionmark_v1 |tptp.'A_TESL_atomic_list$'|) (A__questionmark_v2 |tptp.'A_TESL_atomic_a_TESL_atomic_bool_fun_fun$'|) (A__questionmark_v3 |tptp.'A_TESL_atomic_list$'|)) (= (= (|tptp.'pair$g'| A__questionmark_v0 A__questionmark_v1) (|tptp.'pair$g'| A__questionmark_v2 A__questionmark_v3)) (and (= A__questionmark_v0 A__questionmark_v2) (= A__questionmark_v1 A__questionmark_v3)))) (forall ((A__questionmark_v0 |tptp.'A_constr_list$'|) (A__questionmark_v1 |tptp.'Nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod$'|) (A__questionmark_v2 |tptp.'A_constr_list$'|) (A__questionmark_v3 |tptp.'Nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod$'|)) (= (= (|tptp.'pair$'| A__questionmark_v0 A__questionmark_v1) (|tptp.'pair$'| A__questionmark_v2 A__questionmark_v3)) (and (= A__questionmark_v0 A__questionmark_v2) (= A__questionmark_v1 A__questionmark_v3)))) (forall ((A__questionmark_v0 |tptp.'Nat$'|) (A__questionmark_v1 |tptp.'A_TESL_atomic_list_a_TESL_atomic_list_prod$'|) (A__questionmark_v2 |tptp.'Nat$'|) (A__questionmark_v3 |tptp.'A_TESL_atomic_list_a_TESL_atomic_list_prod$'|)) (= (= (|tptp.'pair$a'| A__questionmark_v0 A__questionmark_v1) (|tptp.'pair$a'| A__questionmark_v2 A__questionmark_v3)) (and (= A__questionmark_v0 A__questionmark_v2) (= A__questionmark_v1 A__questionmark_v3)))) (forall ((A__questionmark_v0 |tptp.'A_TESL_atomic_list$'|) (A__questionmark_v1 |tptp.'A_TESL_atomic_list$'|) (A__questionmark_v2 |tptp.'A_TESL_atomic_list$'|) (A__questionmark_v3 |tptp.'A_TESL_atomic_list$'|)) (= (= (|tptp.'pair$b'| A__questionmark_v0 A__questionmark_v1) (|tptp.'pair$b'| A__questionmark_v2 A__questionmark_v3)) (and (= A__questionmark_v0 A__questionmark_v2) (= A__questionmark_v1 A__questionmark_v3)))) (forall ((A__questionmark_v0 Int) (A__questionmark_v1 Int)) (let ((_let_1 (|tptp.'fun_app$k'| (|tptp.'fun_app$j'| |tptp.'inf$e'| A__questionmark_v0) A__questionmark_v1))) (= (|tptp.'fun_app$k'| (|tptp.'fun_app$j'| |tptp.'inf$e'| _let_1) A__questionmark_v1) _let_1))) (forall ((A__questionmark_v0 |tptp.'A_run_set$'|) (A__questionmark_v1 |tptp.'A_run_set$'|)) (let ((_let_1 (|tptp.'fun_app$f'| (|tptp.'fun_app$g'| |tptp.'inf$'| A__questionmark_v0) A__questionmark_v1))) (= (|tptp.'fun_app$f'| (|tptp.'fun_app$g'| |tptp.'inf$'| _let_1) A__questionmark_v1) _let_1))) (forall ((A__questionmark_v0 Int) (A__questionmark_v1 Int)) (let ((_let_1 (|tptp.'fun_app$k'| (|tptp.'fun_app$j'| |tptp.'inf$e'| A__questionmark_v0) A__questionmark_v1))) (= (|tptp.'fun_app$k'| (|tptp.'fun_app$j'| |tptp.'inf$e'| _let_1) A__questionmark_v1) _let_1))) (forall ((A__questionmark_v0 |tptp.'A_run_set$'|) (A__questionmark_v1 |tptp.'A_run_set$'|)) (let ((_let_1 (|tptp.'fun_app$f'| (|tptp.'fun_app$g'| |tptp.'inf$'| A__questionmark_v0) A__questionmark_v1))) (= (|tptp.'fun_app$f'| (|tptp.'fun_app$g'| |tptp.'inf$'| _let_1) A__questionmark_v1) _let_1))) (forall ((A__questionmark_v0 Int) (A__questionmark_v1 Int)) (let ((_let_1 (|tptp.'fun_app$j'| |tptp.'inf$e'| A__questionmark_v0))) (let ((_let_2 (|tptp.'fun_app$k'| _let_1 A__questionmark_v1))) (= (|tptp.'fun_app$k'| _let_1 _let_2) _let_2)))) (forall ((A__questionmark_v0 |tptp.'A_run_set$'|) (A__questionmark_v1 |tptp.'A_run_set$'|)) (let ((_let_1 (|tptp.'fun_app$g'| |tptp.'inf$'| A__questionmark_v0))) (let ((_let_2 (|tptp.'fun_app$f'| _let_1 A__questionmark_v1))) (= (|tptp.'fun_app$f'| _let_1 _let_2) _let_2)))) (forall ((A__questionmark_v0 Int) (A__questionmark_v1 Int)) (let ((_let_1 (|tptp.'fun_app$j'| |tptp.'inf$e'| A__questionmark_v0))) (let ((_let_2 (|tptp.'fun_app$k'| _let_1 A__questionmark_v1))) (= (|tptp.'fun_app$k'| _let_1 _let_2) _let_2)))) (forall ((A__questionmark_v0 |tptp.'A_run_set$'|) (A__questionmark_v1 |tptp.'A_run_set$'|)) (let ((_let_1 (|tptp.'fun_app$g'| |tptp.'inf$'| A__questionmark_v0))) (let ((_let_2 (|tptp.'fun_app$f'| _let_1 A__questionmark_v1))) (= (|tptp.'fun_app$f'| _let_1 _let_2) _let_2)))) (forall ((A__questionmark_v0 Int)) (= (|tptp.'fun_app$k'| (|tptp.'fun_app$j'| |tptp.'inf$e'| A__questionmark_v0) A__questionmark_v0) A__questionmark_v0)) (forall ((A__questionmark_v0 |tptp.'A_run_set$'|)) (= (|tptp.'fun_app$f'| (|tptp.'fun_app$g'| |tptp.'inf$'| A__questionmark_v0) A__questionmark_v0) A__questionmark_v0)) (forall ((A__questionmark_v0 |tptp.'A_TESL_atomic_list_list$'|) (A__questionmark_v1 |tptp.'A_TESL_atomic_list_list$'|) (A__questionmark_v2 |tptp.'A_TESL_atomic_list_list$'|) (A__questionmark_v3 |tptp.'A_TESL_atomic_list_list$'|)) (=> (and (= (|tptp.'pair$c'| A__questionmark_v0 A__questionmark_v1) (|tptp.'pair$c'| A__questionmark_v2 A__questionmark_v3)) (=> (and (= A__questionmark_v0 A__questionmark_v2) (= A__questionmark_v1 A__questionmark_v3)) false)) false)) (forall ((A__questionmark_v0 |tptp.'Nat_list$'|) (A__questionmark_v1 |tptp.'A_TESL_atomic_list_a_TESL_atomic_list_prod_list$'|) (A__questionmark_v2 |tptp.'Nat_list$'|) (A__questionmark_v3 |tptp.'A_TESL_atomic_list_a_TESL_atomic_list_prod_list$'|)) (=> (and (= (|tptp.'pair$d'| A__questionmark_v0 A__questionmark_v1) (|tptp.'pair$d'| A__questionmark_v2 A__questionmark_v3)) (=> (and (= A__questionmark_v0 A__questionmark_v2) (= A__questionmark_v1 A__questionmark_v3)) false)) false)) (forall ((A__questionmark_v0 |tptp.'Nat$'|) (A__questionmark_v1 |tptp.'A_TESL_atomic$'|) (A__questionmark_v2 |tptp.'Nat$'|) (A__questionmark_v3 |tptp.'A_TESL_atomic$'|)) (=> (and (= (|tptp.'pair$e'| A__questionmark_v0 A__questionmark_v1) (|tptp.'pair$e'| A__questionmark_v2 A__questionmark_v3)) (=> (and (= A__questionmark_v0 A__questionmark_v2) (= A__questionmark_v1 A__questionmark_v3)) false)) false)) (forall ((A__questionmark_v0 |tptp.'A_TESL_atomic_a_TESL_atomic_fun$'|) (A__questionmark_v1 |tptp.'A_TESL_atomic_list_a_TESL_atomic_list_prod$'|) (A__questionmark_v2 |tptp.'A_TESL_atomic_a_TESL_atomic_fun$'|) (A__questionmark_v3 |tptp.'A_TESL_atomic_list_a_TESL_atomic_list_prod$'|)) (=> (and (= (|tptp.'pair$f'| A__questionmark_v0 A__questionmark_v1) (|tptp.'pair$f'| A__questionmark_v2 A__questionmark_v3)) (=> (and (= A__questionmark_v0 A__questionmark_v2) (= A__questionmark_v1 A__questionmark_v3)) false)) false)) (forall ((A__questionmark_v0 |tptp.'A_TESL_atomic_a_TESL_atomic_bool_fun_fun$'|) (A__questionmark_v1 |tptp.'A_TESL_atomic_list$'|) (A__questionmark_v2 |tptp.'A_TESL_atomic_a_TESL_atomic_bool_fun_fun$'|) (A__questionmark_v3 |tptp.'A_TESL_atomic_list$'|)) (=> (and (= (|tptp.'pair$g'| A__questionmark_v0 A__questionmark_v1) (|tptp.'pair$g'| A__questionmark_v2 A__questionmark_v3)) (=> (and (= A__questionmark_v0 A__questionmark_v2) (= A__questionmark_v1 A__questionmark_v3)) false)) false)) (forall ((A__questionmark_v0 |tptp.'A_constr_list$'|) (A__questionmark_v1 |tptp.'Nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod$'|) (A__questionmark_v2 |tptp.'A_constr_list$'|) (A__questionmark_v3 |tptp.'Nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod$'|)) (=> (and (= (|tptp.'pair$'| A__questionmark_v0 A__questionmark_v1) (|tptp.'pair$'| A__questionmark_v2 A__questionmark_v3)) (=> (and (= A__questionmark_v0 A__questionmark_v2) (= A__questionmark_v1 A__questionmark_v3)) false)) false)) (forall ((A__questionmark_v0 |tptp.'Nat$'|) (A__questionmark_v1 |tptp.'A_TESL_atomic_list_a_TESL_atomic_list_prod$'|) (A__questionmark_v2 |tptp.'Nat$'|) (A__questionmark_v3 |tptp.'A_TESL_atomic_list_a_TESL_atomic_list_prod$'|)) (=> (and (= (|tptp.'pair$a'| A__questionmark_v0 A__questionmark_v1) (|tptp.'pair$a'| A__questionmark_v2 A__questionmark_v3)) (=> (and (= A__questionmark_v0 A__questionmark_v2) (= A__questionmark_v1 A__questionmark_v3)) false)) false)) (forall ((A__questionmark_v0 |tptp.'A_TESL_atomic_list$'|) (A__questionmark_v1 |tptp.'A_TESL_atomic_list$'|) (A__questionmark_v2 |tptp.'A_TESL_atomic_list$'|) (A__questionmark_v3 |tptp.'A_TESL_atomic_list$'|)) (=> (and (= (|tptp.'pair$b'| A__questionmark_v0 A__questionmark_v1) (|tptp.'pair$b'| A__questionmark_v2 A__questionmark_v3)) (=> (and (= A__questionmark_v0 A__questionmark_v2) (= A__questionmark_v1 A__questionmark_v3)) false)) false)) (forall ((A__questionmark_v0 |tptp.'A_TESL_atomic_list_list_a_TESL_atomic_list_list_prod_bool_fun$'|) (A__questionmark_v1 |tptp.'A_TESL_atomic_list_list_a_TESL_atomic_list_list_prod$'|)) (=> (forall ((A__questionmark_v2 |tptp.'A_TESL_atomic_list_list$'|) (A__questionmark_v3 |tptp.'A_TESL_atomic_list_list$'|)) (|tptp.'fun_app$l'| A__questionmark_v0 (|tptp.'pair$c'| A__questionmark_v2 A__questionmark_v3))) (|tptp.'fun_app$l'| A__questionmark_v0 A__questionmark_v1))) (forall ((A__questionmark_v0 |tptp.'Nat_list_a_TESL_atomic_list_a_TESL_atomic_list_prod_list_prod_bool_fun$'|) (A__questionmark_v1 |tptp.'Nat_list_a_TESL_atomic_list_a_TESL_atomic_list_prod_list_prod$'|)) (=> (forall ((A__questionmark_v2 |tptp.'Nat_list$'|) (A__questionmark_v3 |tptp.'A_TESL_atomic_list_a_TESL_atomic_list_prod_list$'|)) (|tptp.'fun_app$'| A__questionmark_v0 (|tptp.'pair$d'| A__questionmark_v2 A__questionmark_v3))) (|tptp.'fun_app$'| A__questionmark_v0 A__questionmark_v1))) (forall ((A__questionmark_v0 |tptp.'Nat_a_TESL_atomic_prod_bool_fun$'|) (A__questionmark_v1 |tptp.'Nat_a_TESL_atomic_prod$'|)) (=> (forall ((A__questionmark_v2 |tptp.'Nat$'|) (A__questionmark_v3 |tptp.'A_TESL_atomic$'|)) (|tptp.'fun_app$m'| A__questionmark_v0 (|tptp.'pair$e'| A__questionmark_v2 A__questionmark_v3))) (|tptp.'fun_app$m'| A__questionmark_v0 A__questionmark_v1))) (forall ((A__questionmark_v0 |tptp.'A_TESL_atomic_a_TESL_atomic_fun_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod_bool_fun$'|) (A__questionmark_v1 |tptp.'A_TESL_atomic_a_TESL_atomic_fun_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod$'|)) (=> (forall ((A__questionmark_v2 |tptp.'A_TESL_atomic_a_TESL_atomic_fun$'|) (A__questionmark_v3 |tptp.'A_TESL_atomic_list_a_TESL_atomic_list_prod$'|)) (|tptp.'fun_app$n'| A__questionmark_v0 (|tptp.'pair$f'| A__questionmark_v2 A__questionmark_v3))) (|tptp.'fun_app$n'| A__questionmark_v0 A__questionmark_v1))) (forall ((A__questionmark_v0 |tptp.'A_TESL_atomic_a_TESL_atomic_bool_fun_fun_a_TESL_atomic_list_prod_bool_fun$'|) (A__questionmark_v1 |tptp.'A_TESL_atomic_a_TESL_atomic_bool_fun_fun_a_TESL_atomic_list_prod$'|)) (=> (forall ((A__questionmark_v2 |tptp.'A_TESL_atomic_a_TESL_atomic_bool_fun_fun$'|) (A__questionmark_v3 |tptp.'A_TESL_atomic_list$'|)) (|tptp.'fun_app$o'| A__questionmark_v0 (|tptp.'pair$g'| A__questionmark_v2 A__questionmark_v3))) (|tptp.'fun_app$o'| A__questionmark_v0 A__questionmark_v1))) (forall ((A__questionmark_v0 |tptp.'A_constr_list_nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod_prod_bool_fun$'|) (A__questionmark_v1 |tptp.'A_constr_list_nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod_prod$'|)) (=> (forall ((A__questionmark_v2 |tptp.'A_constr_list$'|) (A__questionmark_v3 |tptp.'Nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod$'|)) (|tptp.'fun_app$i'| A__questionmark_v0 (|tptp.'pair$'| A__questionmark_v2 A__questionmark_v3))) (|tptp.'fun_app$i'| A__questionmark_v0 A__questionmark_v1))) (forall ((A__questionmark_v0 |tptp.'Nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod_bool_fun$'|) (A__questionmark_v1 |tptp.'Nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod$'|)) (=> (forall ((A__questionmark_v2 |tptp.'Nat$'|) (A__questionmark_v3 |tptp.'A_TESL_atomic_list_a_TESL_atomic_list_prod$'|)) (|tptp.'fun_app$a'| A__questionmark_v0 (|tptp.'pair$a'| A__questionmark_v2 A__questionmark_v3))) (|tptp.'fun_app$a'| A__questionmark_v0 A__questionmark_v1))) (forall ((A__questionmark_v0 |tptp.'A_TESL_atomic_list_a_TESL_atomic_list_prod_bool_fun$'|) (A__questionmark_v1 |tptp.'A_TESL_atomic_list_a_TESL_atomic_list_prod$'|)) (=> (forall ((A__questionmark_v2 |tptp.'A_TESL_atomic_list$'|) (A__questionmark_v3 |tptp.'A_TESL_atomic_list$'|)) (|tptp.'fun_app$p'| A__questionmark_v0 (|tptp.'pair$b'| A__questionmark_v2 A__questionmark_v3))) (|tptp.'fun_app$p'| A__questionmark_v0 A__questionmark_v1))) (forall ((A__questionmark_v0 |tptp.'A_TESL_atomic_list_list_a_TESL_atomic_list_list_prod$'|)) (exists ((A__questionmark_v1 |tptp.'A_TESL_atomic_list_list$'|) (A__questionmark_v2 |tptp.'A_TESL_atomic_list_list$'|)) (= A__questionmark_v0 (|tptp.'pair$c'| A__questionmark_v1 A__questionmark_v2)))) (forall ((A__questionmark_v0 |tptp.'Nat_list_a_TESL_atomic_list_a_TESL_atomic_list_prod_list_prod$'|)) (exists ((A__questionmark_v1 |tptp.'Nat_list$'|) (A__questionmark_v2 |tptp.'A_TESL_atomic_list_a_TESL_atomic_list_prod_list$'|)) (= A__questionmark_v0 (|tptp.'pair$d'| A__questionmark_v1 A__questionmark_v2)))) (forall ((A__questionmark_v0 |tptp.'Nat_a_TESL_atomic_prod$'|)) (exists ((A__questionmark_v1 |tptp.'Nat$'|) (A__questionmark_v2 |tptp.'A_TESL_atomic$'|)) (= A__questionmark_v0 (|tptp.'pair$e'| A__questionmark_v1 A__questionmark_v2)))) (forall ((A__questionmark_v0 |tptp.'A_TESL_atomic_a_TESL_atomic_fun_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod$'|)) (exists ((A__questionmark_v1 |tptp.'A_TESL_atomic_a_TESL_atomic_fun$'|) (A__questionmark_v2 |tptp.'A_TESL_atomic_list_a_TESL_atomic_list_prod$'|)) (= A__questionmark_v0 (|tptp.'pair$f'| A__questionmark_v1 A__questionmark_v2)))) (forall ((A__questionmark_v0 |tptp.'A_TESL_atomic_a_TESL_atomic_bool_fun_fun_a_TESL_atomic_list_prod$'|)) (exists ((A__questionmark_v1 |tptp.'A_TESL_atomic_a_TESL_atomic_bool_fun_fun$'|) (A__questionmark_v2 |tptp.'A_TESL_atomic_list$'|)) (= A__questionmark_v0 (|tptp.'pair$g'| A__questionmark_v1 A__questionmark_v2)))) (forall ((A__questionmark_v0 |tptp.'A_constr_list_nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod_prod$'|)) (exists ((A__questionmark_v1 |tptp.'A_constr_list$'|) (A__questionmark_v2 |tptp.'Nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod$'|)) (= A__questionmark_v0 (|tptp.'pair$'| A__questionmark_v1 A__questionmark_v2)))) (forall ((A__questionmark_v0 |tptp.'Nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod$'|)) (exists ((A__questionmark_v1 |tptp.'Nat$'|) (A__questionmark_v2 |tptp.'A_TESL_atomic_list_a_TESL_atomic_list_prod$'|)) (= A__questionmark_v0 (|tptp.'pair$a'| A__questionmark_v1 A__questionmark_v2)))) (forall ((A__questionmark_v0 |tptp.'A_TESL_atomic_list_a_TESL_atomic_list_prod$'|)) (exists ((A__questionmark_v1 |tptp.'A_TESL_atomic_list$'|) (A__questionmark_v2 |tptp.'A_TESL_atomic_list$'|)) (= A__questionmark_v0 (|tptp.'pair$b'| A__questionmark_v1 A__questionmark_v2)))) (forall ((A__questionmark_v0 |tptp.'A_TESL_atomic_list_list_a_TESL_atomic_list_list_prod$'|)) (=> (forall ((A__questionmark_v1 |tptp.'A_TESL_atomic_list_list$'|) (A__questionmark_v2 |tptp.'A_TESL_atomic_list_list$'|)) (=> (= A__questionmark_v0 (|tptp.'pair$c'| A__questionmark_v1 A__questionmark_v2)) false)) false)) (forall ((A__questionmark_v0 |tptp.'Nat_list_a_TESL_atomic_list_a_TESL_atomic_list_prod_list_prod$'|)) (=> (forall ((A__questionmark_v1 |tptp.'Nat_list$'|) (A__questionmark_v2 |tptp.'A_TESL_atomic_list_a_TESL_atomic_list_prod_list$'|)) (=> (= A__questionmark_v0 (|tptp.'pair$d'| A__questionmark_v1 A__questionmark_v2)) false)) false)) (forall ((A__questionmark_v0 |tptp.'Nat_a_TESL_atomic_prod$'|)) (=> (forall ((A__questionmark_v1 |tptp.'Nat$'|) (A__questionmark_v2 |tptp.'A_TESL_atomic$'|)) (=> (= A__questionmark_v0 (|tptp.'pair$e'| A__questionmark_v1 A__questionmark_v2)) false)) false)) (forall ((A__questionmark_v0 |tptp.'A_TESL_atomic_a_TESL_atomic_fun_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod$'|)) (=> (forall ((A__questionmark_v1 |tptp.'A_TESL_atomic_a_TESL_atomic_fun$'|) (A__questionmark_v2 |tptp.'A_TESL_atomic_list_a_TESL_atomic_list_prod$'|)) (=> (= A__questionmark_v0 (|tptp.'pair$f'| A__questionmark_v1 A__questionmark_v2)) false)) false)) (forall ((A__questionmark_v0 |tptp.'A_TESL_atomic_a_TESL_atomic_bool_fun_fun_a_TESL_atomic_list_prod$'|)) (=> (forall ((A__questionmark_v1 |tptp.'A_TESL_atomic_a_TESL_atomic_bool_fun_fun$'|) (A__questionmark_v2 |tptp.'A_TESL_atomic_list$'|)) (=> (= A__questionmark_v0 (|tptp.'pair$g'| A__questionmark_v1 A__questionmark_v2)) false)) false)) (forall ((A__questionmark_v0 |tptp.'A_constr_list_nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod_prod$'|)) (=> (forall ((A__questionmark_v1 |tptp.'A_constr_list$'|) (A__questionmark_v2 |tptp.'Nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod$'|)) (=> (= A__questionmark_v0 (|tptp.'pair$'| A__questionmark_v1 A__questionmark_v2)) false)) false)) (forall ((A__questionmark_v0 |tptp.'Nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod$'|)) (=> (forall ((A__questionmark_v1 |tptp.'Nat$'|) (A__questionmark_v2 |tptp.'A_TESL_atomic_list_a_TESL_atomic_list_prod$'|)) (=> (= A__questionmark_v0 (|tptp.'pair$a'| A__questionmark_v1 A__questionmark_v2)) false)) false)) (forall ((A__questionmark_v0 |tptp.'A_TESL_atomic_list_a_TESL_atomic_list_prod$'|)) (=> (forall ((A__questionmark_v1 |tptp.'A_TESL_atomic_list$'|) (A__questionmark_v2 |tptp.'A_TESL_atomic_list$'|)) (=> (= A__questionmark_v0 (|tptp.'pair$b'| A__questionmark_v1 A__questionmark_v2)) false)) false)) (forall ((A__questionmark_v0 Int) (A__questionmark_v1 Int) (A__questionmark_v2 Int)) (let ((_let_1 (|tptp.'fun_app$j'| |tptp.'inf$e'| A__questionmark_v0))) (let ((_let_2 (|tptp.'fun_app$j'| |tptp.'inf$e'| A__questionmark_v1))) (= (|tptp.'fun_app$k'| _let_1 (|tptp.'fun_app$k'| _let_2 A__questionmark_v2)) (|tptp.'fun_app$k'| _let_2 (|tptp.'fun_app$k'| _let_1 A__questionmark_v2)))))) (forall ((A__questionmark_v0 |tptp.'A_run_set$'|) (A__questionmark_v1 |tptp.'A_run_set$'|) (A__questionmark_v2 |tptp.'A_run_set$'|)) (let ((_let_1 (|tptp.'fun_app$g'| |tptp.'inf$'| A__questionmark_v0))) (let ((_let_2 (|tptp.'fun_app$g'| |tptp.'inf$'| A__questionmark_v1))) (= (|tptp.'fun_app$f'| _let_1 (|tptp.'fun_app$f'| _let_2 A__questionmark_v2)) (|tptp.'fun_app$f'| _let_2 (|tptp.'fun_app$f'| _let_1 A__questionmark_v2)))))) (forall ((A__questionmark_v0 Int) (A__questionmark_v1 Int) (A__questionmark_v2 Int)) (let ((_let_1 (|tptp.'fun_app$j'| |tptp.'inf$e'| A__questionmark_v0))) (let ((_let_2 (|tptp.'fun_app$j'| |tptp.'inf$e'| A__questionmark_v1))) (= (|tptp.'fun_app$k'| _let_1 (|tptp.'fun_app$k'| _let_2 A__questionmark_v2)) (|tptp.'fun_app$k'| _let_2 (|tptp.'fun_app$k'| _let_1 A__questionmark_v2)))))) (forall ((A__questionmark_v0 |tptp.'A_run_set$'|) (A__questionmark_v1 |tptp.'A_run_set$'|) (A__questionmark_v2 |tptp.'A_run_set$'|)) (let ((_let_1 (|tptp.'fun_app$g'| |tptp.'inf$'| A__questionmark_v0))) (let ((_let_2 (|tptp.'fun_app$g'| |tptp.'inf$'| A__questionmark_v1))) (= (|tptp.'fun_app$f'| _let_1 (|tptp.'fun_app$f'| _let_2 A__questionmark_v2)) (|tptp.'fun_app$f'| _let_2 (|tptp.'fun_app$f'| _let_1 A__questionmark_v2)))))) (forall ((A__questionmark_v0 Int) (A__questionmark_v1 Int)) (= (|tptp.'fun_app$k'| (|tptp.'fun_app$j'| |tptp.'inf$e'| A__questionmark_v0) A__questionmark_v1) (|tptp.'fun_app$k'| (|tptp.'fun_app$j'| |tptp.'inf$e'| A__questionmark_v1) A__questionmark_v0))) (forall ((A__questionmark_v0 |tptp.'A_run_set$'|) (A__questionmark_v1 |tptp.'A_run_set$'|)) (= (|tptp.'fun_app$f'| (|tptp.'fun_app$g'| |tptp.'inf$'| A__questionmark_v0) A__questionmark_v1) (|tptp.'fun_app$f'| (|tptp.'fun_app$g'| |tptp.'inf$'| A__questionmark_v1) A__questionmark_v0))) (forall ((A__questionmark_v0 Int) (A__questionmark_v1 Int)) (= (|tptp.'fun_app$k'| (|tptp.'fun_app$j'| |tptp.'inf$e'| A__questionmark_v0) A__questionmark_v1) (|tptp.'fun_app$k'| (|tptp.'fun_app$j'| |tptp.'inf$e'| A__questionmark_v1) A__questionmark_v0))) (forall ((A__questionmark_v0 |tptp.'A_run_set$'|) (A__questionmark_v1 |tptp.'A_run_set$'|)) (= (|tptp.'fun_app$f'| (|tptp.'fun_app$g'| |tptp.'inf$'| A__questionmark_v0) A__questionmark_v1) (|tptp.'fun_app$f'| (|tptp.'fun_app$g'| |tptp.'inf$'| A__questionmark_v1) A__questionmark_v0))) (forall ((A__questionmark_v0 Int) (A__questionmark_v1 Int) (A__questionmark_v2 Int)) (let ((_let_1 (|tptp.'fun_app$j'| |tptp.'inf$e'| A__questionmark_v0))) (= (|tptp.'fun_app$k'| (|tptp.'fun_app$j'| |tptp.'inf$e'| (|tptp.'fun_app$k'| _let_1 A__questionmark_v1)) A__questionmark_v2) (|tptp.'fun_app$k'| _let_1 (|tptp.'fun_app$k'| (|tptp.'fun_app$j'| |tptp.'inf$e'| A__questionmark_v1) A__questionmark_v2))))) (forall ((A__questionmark_v0 |tptp.'A_run_set$'|) (A__questionmark_v1 |tptp.'A_run_set$'|) (A__questionmark_v2 |tptp.'A_run_set$'|)) (let ((_let_1 (|tptp.'fun_app$g'| |tptp.'inf$'| A__questionmark_v0))) (= (|tptp.'fun_app$f'| (|tptp.'fun_app$g'| |tptp.'inf$'| (|tptp.'fun_app$f'| _let_1 A__questionmark_v1)) A__questionmark_v2) (|tptp.'fun_app$f'| _let_1 (|tptp.'fun_app$f'| (|tptp.'fun_app$g'| |tptp.'inf$'| A__questionmark_v1) A__questionmark_v2))))) (forall ((A__questionmark_v0 Int) (A__questionmark_v1 Int) (A__questionmark_v2 Int)) (let ((_let_1 (|tptp.'fun_app$j'| |tptp.'inf$e'| A__questionmark_v0))) (= (|tptp.'fun_app$k'| (|tptp.'fun_app$j'| |tptp.'inf$e'| (|tptp.'fun_app$k'| _let_1 A__questionmark_v1)) A__questionmark_v2) (|tptp.'fun_app$k'| _let_1 (|tptp.'fun_app$k'| (|tptp.'fun_app$j'| |tptp.'inf$e'| A__questionmark_v1) A__questionmark_v2))))) (forall ((A__questionmark_v0 |tptp.'A_run_set$'|) (A__questionmark_v1 |tptp.'A_run_set$'|) (A__questionmark_v2 |tptp.'A_run_set$'|)) (let ((_let_1 (|tptp.'fun_app$g'| |tptp.'inf$'| A__questionmark_v0))) (= (|tptp.'fun_app$f'| (|tptp.'fun_app$g'| |tptp.'inf$'| (|tptp.'fun_app$f'| _let_1 A__questionmark_v1)) A__questionmark_v2) (|tptp.'fun_app$f'| _let_1 (|tptp.'fun_app$f'| (|tptp.'fun_app$g'| |tptp.'inf$'| A__questionmark_v1) A__questionmark_v2))))) (forall ((A__questionmark_v0 Int) (A__questionmark_v1 Int)) (= (|tptp.'fun_app$k'| (|tptp.'fun_app$j'| |tptp.'inf$e'| A__questionmark_v0) A__questionmark_v1) (|tptp.'fun_app$k'| (|tptp.'fun_app$j'| |tptp.'inf$e'| A__questionmark_v1) A__questionmark_v0))) (forall ((A__questionmark_v0 |tptp.'A_run_set$'|) (A__questionmark_v1 |tptp.'A_run_set$'|)) (= (|tptp.'fun_app$f'| (|tptp.'fun_app$g'| |tptp.'inf$'| A__questionmark_v0) A__questionmark_v1) (|tptp.'fun_app$f'| (|tptp.'fun_app$g'| |tptp.'inf$'| A__questionmark_v1) A__questionmark_v0))) (forall ((A__questionmark_v0 Int) (A__questionmark_v1 Int) (A__questionmark_v2 Int)) (let ((_let_1 (|tptp.'fun_app$j'| |tptp.'inf$e'| A__questionmark_v0))) (= (|tptp.'fun_app$k'| (|tptp.'fun_app$j'| |tptp.'inf$e'| (|tptp.'fun_app$k'| _let_1 A__questionmark_v1)) A__questionmark_v2) (|tptp.'fun_app$k'| _let_1 (|tptp.'fun_app$k'| (|tptp.'fun_app$j'| |tptp.'inf$e'| A__questionmark_v1) A__questionmark_v2))))) (forall ((A__questionmark_v0 |tptp.'A_run_set$'|) (A__questionmark_v1 |tptp.'A_run_set$'|) (A__questionmark_v2 |tptp.'A_run_set$'|)) (let ((_let_1 (|tptp.'fun_app$g'| |tptp.'inf$'| A__questionmark_v0))) (= (|tptp.'fun_app$f'| (|tptp.'fun_app$g'| |tptp.'inf$'| (|tptp.'fun_app$f'| _let_1 A__questionmark_v1)) A__questionmark_v2) (|tptp.'fun_app$f'| _let_1 (|tptp.'fun_app$f'| (|tptp.'fun_app$g'| |tptp.'inf$'| A__questionmark_v1) A__questionmark_v2))))) (forall ((A__questionmark_v0 Int) (A__questionmark_v1 Int) (A__questionmark_v2 Int)) (let ((_let_1 (|tptp.'fun_app$j'| |tptp.'inf$e'| A__questionmark_v0))) (let ((_let_2 (|tptp.'fun_app$j'| |tptp.'inf$e'| A__questionmark_v1))) (= (|tptp.'fun_app$k'| _let_1 (|tptp.'fun_app$k'| _let_2 A__questionmark_v2)) (|tptp.'fun_app$k'| _let_2 (|tptp.'fun_app$k'| _let_1 A__questionmark_v2)))))) (forall ((A__questionmark_v0 |tptp.'A_run_set$'|) (A__questionmark_v1 |tptp.'A_run_set$'|) (A__questionmark_v2 |tptp.'A_run_set$'|)) (let ((_let_1 (|tptp.'fun_app$g'| |tptp.'inf$'| A__questionmark_v0))) (let ((_let_2 (|tptp.'fun_app$g'| |tptp.'inf$'| A__questionmark_v1))) (= (|tptp.'fun_app$f'| _let_1 (|tptp.'fun_app$f'| _let_2 A__questionmark_v2)) (|tptp.'fun_app$f'| _let_2 (|tptp.'fun_app$f'| _let_1 A__questionmark_v2)))))) (forall ((A__questionmark_v0 Int) (A__questionmark_v1 Int)) (let ((_let_1 (|tptp.'fun_app$j'| |tptp.'inf$e'| A__questionmark_v0))) (let ((_let_2 (|tptp.'fun_app$k'| _let_1 A__questionmark_v1))) (= (|tptp.'fun_app$k'| _let_1 _let_2) _let_2)))) (forall ((A__questionmark_v0 |tptp.'A_run_set$'|) (A__questionmark_v1 |tptp.'A_run_set$'|)) (let ((_let_1 (|tptp.'fun_app$g'| |tptp.'inf$'| A__questionmark_v0))) (let ((_let_2 (|tptp.'fun_app$f'| _let_1 A__questionmark_v1))) (= (|tptp.'fun_app$f'| _let_1 _let_2) _let_2)))) (forall ((A__questionmark_v0 |tptp.'A_run_set$'|) (A__questionmark_v1 |tptp.'A_run_set$'|) (A__questionmark_v2 |tptp.'A_run_set$'|)) (let ((_let_1 (|tptp.'fun_app$g'| |tptp.'inf$'| A__questionmark_v0))) (let ((_let_2 (|tptp.'fun_app$g'| |tptp.'inf$'| A__questionmark_v1))) (= (|tptp.'fun_app$f'| _let_1 (|tptp.'fun_app$f'| _let_2 A__questionmark_v2)) (|tptp.'fun_app$f'| _let_2 (|tptp.'fun_app$f'| _let_1 A__questionmark_v2)))))) (forall ((A__questionmark_v0 |tptp.'A_run_set$'|) (A__questionmark_v1 |tptp.'A_run_set$'|)) (let ((_let_1 (|tptp.'fun_app$g'| |tptp.'inf$'| A__questionmark_v0))) (let ((_let_2 (|tptp.'fun_app$f'| _let_1 A__questionmark_v1))) (= (|tptp.'fun_app$f'| _let_1 _let_2) _let_2)))) (forall ((A__questionmark_v0 |tptp.'A_run_set$'|) (A__questionmark_v1 |tptp.'A_run_set$'|)) (= (|tptp.'fun_app$f'| (|tptp.'fun_app$g'| |tptp.'inf$'| A__questionmark_v0) A__questionmark_v1) (|tptp.'fun_app$f'| (|tptp.'fun_app$g'| |tptp.'inf$'| A__questionmark_v1) A__questionmark_v0))) (forall ((A__questionmark_v0 |tptp.'A_run_set$'|)) (= (|tptp.'fun_app$f'| (|tptp.'fun_app$g'| |tptp.'inf$'| A__questionmark_v0) A__questionmark_v0) A__questionmark_v0)) (forall ((A__questionmark_v0 |tptp.'A_run_set$'|) (A__questionmark_v1 |tptp.'A_run_set$'|) (A__questionmark_v2 |tptp.'A_run_set$'|)) (let ((_let_1 (|tptp.'fun_app$g'| |tptp.'inf$'| A__questionmark_v0))) (= (|tptp.'fun_app$f'| (|tptp.'fun_app$g'| |tptp.'inf$'| (|tptp.'fun_app$f'| _let_1 A__questionmark_v1)) A__questionmark_v2) (|tptp.'fun_app$f'| _let_1 (|tptp.'fun_app$f'| (|tptp.'fun_app$g'| |tptp.'inf$'| A__questionmark_v1) A__questionmark_v2))))) (forall ((A__questionmark_v0 |tptp.'Nat_list_a_TESL_atomic_list_a_TESL_atomic_list_prod_list_prod$'|) (A__questionmark_v1 |tptp.'Nat_list_a_TESL_atomic_list_a_TESL_atomic_list_prod_list_prod_bool_fun$'|)) (= (|tptp.'member$'| A__questionmark_v0 (|tptp.'collect$'| A__questionmark_v1)) (|tptp.'fun_app$'| A__questionmark_v1 A__questionmark_v0))) (forall ((A__questionmark_v0 |tptp.'Nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod$'|) (A__questionmark_v1 |tptp.'Nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod_bool_fun$'|)) (= (|tptp.'member$a'| A__questionmark_v0 (|tptp.'collect$a'| A__questionmark_v1)) (|tptp.'fun_app$a'| A__questionmark_v1 A__questionmark_v0))) (forall ((A__questionmark_v0 |tptp.'A_TESL_atomic$'|) (A__questionmark_v1 |tptp.'A_TESL_atomic_bool_fun$'|)) (= (|tptp.'member$b'| A__questionmark_v0 (|tptp.'collect$b'| A__questionmark_v1)) (|tptp.'fun_app$b'| A__questionmark_v1 A__questionmark_v0))) (forall ((A__questionmark_v0 |tptp.'A_TESL_atomic_list$'|) (A__questionmark_v1 |tptp.'A_TESL_atomic_list_bool_fun$'|)) (= (|tptp.'member$c'| A__questionmark_v0 (|tptp.'collect$c'| A__questionmark_v1)) (|tptp.'fun_app$c'| A__questionmark_v1 A__questionmark_v0))) (forall ((A__questionmark_v0 |tptp.'A_run$'|) (A__questionmark_v1 |tptp.'A_run_bool_fun$'|)) (= (|tptp.'member$d'| A__questionmark_v0 (|tptp.'collect$d'| A__questionmark_v1)) (|tptp.'fun_app$d'| A__questionmark_v1 A__questionmark_v0))) (forall ((A__questionmark_v0 |tptp.'Nat_list_a_TESL_atomic_list_a_TESL_atomic_list_prod_list_prod_set$'|)) (= (|tptp.'collect$'| (|tptp.'uu$'| A__questionmark_v0)) A__questionmark_v0)) (forall ((A__questionmark_v0 |tptp.'Nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod_set$'|)) (= (|tptp.'collect$a'| (|tptp.'uua$'| A__questionmark_v0)) A__questionmark_v0)) (forall ((A__questionmark_v0 |tptp.'A_TESL_atomic_set$'|)) (= (|tptp.'collect$b'| (|tptp.'uub$'| A__questionmark_v0)) A__questionmark_v0)) (forall ((A__questionmark_v0 |tptp.'A_TESL_atomic_list_set$'|)) (= (|tptp.'collect$c'| (|tptp.'uuc$'| A__questionmark_v0)) A__questionmark_v0)) (forall ((A__questionmark_v0 |tptp.'A_run_set$'|)) (= (|tptp.'collect$d'| (|tptp.'uud$'| A__questionmark_v0)) A__questionmark_v0)) (forall ((A__questionmark_v0 |tptp.'A_run_bool_fun$'|) (A__questionmark_v1 |tptp.'A_run_bool_fun$'|)) (=> (forall ((A__questionmark_v2 |tptp.'A_run$'|)) (= (|tptp.'fun_app$d'| A__questionmark_v0 A__questionmark_v2) (|tptp.'fun_app$d'| A__questionmark_v1 A__questionmark_v2))) (= (|tptp.'collect$d'| A__questionmark_v0) (|tptp.'collect$d'| A__questionmark_v1)))) (forall ((A__questionmark_v0 |tptp.'Nat_list_a_TESL_atomic_list_a_TESL_atomic_list_prod_list_prod$'|) (A__questionmark_v1 |tptp.'Nat_list_a_TESL_atomic_list_a_TESL_atomic_list_prod_list_prod_set$'|) (A__questionmark_v2 |tptp.'Nat_list_a_TESL_atomic_list_a_TESL_atomic_list_prod_list_prod_set$'|)) (=> (|tptp.'member$'| A__questionmark_v0 (|tptp.'inf$a'| A__questionmark_v1 A__questionmark_v2)) (|tptp.'member$'| A__questionmark_v0 A__questionmark_v2))) (forall ((A__questionmark_v0 |tptp.'Nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod$'|) (A__questionmark_v1 |tptp.'Nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod_set$'|) (A__questionmark_v2 |tptp.'Nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod_set$'|)) (=> (|tptp.'member$a'| A__questionmark_v0 (|tptp.'inf$b'| A__questionmark_v1 A__questionmark_v2)) (|tptp.'member$a'| A__questionmark_v0 A__questionmark_v2))) (forall ((A__questionmark_v0 |tptp.'A_TESL_atomic$'|) (A__questionmark_v1 |tptp.'A_TESL_atomic_set$'|) (A__questionmark_v2 |tptp.'A_TESL_atomic_set$'|)) (=> (|tptp.'member$b'| A__questionmark_v0 (|tptp.'inf$c'| A__questionmark_v1 A__questionmark_v2)) (|tptp.'member$b'| A__questionmark_v0 A__questionmark_v2))) (forall ((A__questionmark_v0 |tptp.'A_TESL_atomic_list$'|) (A__questionmark_v1 |tptp.'A_TESL_atomic_list_set$'|) (A__questionmark_v2 |tptp.'A_TESL_atomic_list_set$'|)) (=> (|tptp.'member$c'| A__questionmark_v0 (|tptp.'inf$d'| A__questionmark_v1 A__questionmark_v2)) (|tptp.'member$c'| A__questionmark_v0 A__questionmark_v2))) (forall ((A__questionmark_v0 |tptp.'A_run$'|) (A__questionmark_v1 |tptp.'A_run_set$'|) (A__questionmark_v2 |tptp.'A_run_set$'|)) (=> (|tptp.'member$d'| A__questionmark_v0 (|tptp.'fun_app$f'| (|tptp.'fun_app$g'| |tptp.'inf$'| A__questionmark_v1) A__questionmark_v2)) (|tptp.'member$d'| A__questionmark_v0 A__questionmark_v2))) (forall ((A__questionmark_v0 |tptp.'Nat_list_a_TESL_atomic_list_a_TESL_atomic_list_prod_list_prod$'|) (A__questionmark_v1 |tptp.'Nat_list_a_TESL_atomic_list_a_TESL_atomic_list_prod_list_prod_set$'|) (A__questionmark_v2 |tptp.'Nat_list_a_TESL_atomic_list_a_TESL_atomic_list_prod_list_prod_set$'|)) (=> (|tptp.'member$'| A__questionmark_v0 (|tptp.'inf$a'| A__questionmark_v1 A__questionmark_v2)) (|tptp.'member$'| A__questionmark_v0 A__questionmark_v1))) (forall ((A__questionmark_v0 |tptp.'Nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod$'|) (A__questionmark_v1 |tptp.'Nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod_set$'|) (A__questionmark_v2 |tptp.'Nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod_set$'|)) (=> (|tptp.'member$a'| A__questionmark_v0 (|tptp.'inf$b'| A__questionmark_v1 A__questionmark_v2)) (|tptp.'member$a'| A__questionmark_v0 A__questionmark_v1))) (forall ((A__questionmark_v0 |tptp.'A_TESL_atomic$'|) (A__questionmark_v1 |tptp.'A_TESL_atomic_set$'|) (A__questionmark_v2 |tptp.'A_TESL_atomic_set$'|)) (=> (|tptp.'member$b'| A__questionmark_v0 (|tptp.'inf$c'| A__questionmark_v1 A__questionmark_v2)) (|tptp.'member$b'| A__questionmark_v0 A__questionmark_v1))) (forall ((A__questionmark_v0 |tptp.'A_TESL_atomic_list$'|) (A__questionmark_v1 |tptp.'A_TESL_atomic_list_set$'|) (A__questionmark_v2 |tptp.'A_TESL_atomic_list_set$'|)) (=> (|tptp.'member$c'| A__questionmark_v0 (|tptp.'inf$d'| A__questionmark_v1 A__questionmark_v2)) (|tptp.'member$c'| A__questionmark_v0 A__questionmark_v1))) (forall ((A__questionmark_v0 |tptp.'A_run$'|) (A__questionmark_v1 |tptp.'A_run_set$'|) (A__questionmark_v2 |tptp.'A_run_set$'|)) (=> (|tptp.'member$d'| A__questionmark_v0 (|tptp.'fun_app$f'| (|tptp.'fun_app$g'| |tptp.'inf$'| A__questionmark_v1) A__questionmark_v2)) (|tptp.'member$d'| A__questionmark_v0 A__questionmark_v1))) (forall ((A__questionmark_v0 |tptp.'Nat_list_a_TESL_atomic_list_a_TESL_atomic_list_prod_list_prod$'|) (A__questionmark_v1 |tptp.'Nat_list_a_TESL_atomic_list_a_TESL_atomic_list_prod_list_prod_set$'|) (A__questionmark_v2 |tptp.'Nat_list_a_TESL_atomic_list_a_TESL_atomic_list_prod_list_prod_set$'|)) (=> (and (|tptp.'member$'| A__questionmark_v0 (|tptp.'inf$a'| A__questionmark_v1 A__questionmark_v2)) (=> (and (|tptp.'member$'| A__questionmark_v0 A__questionmark_v1) (|tptp.'member$'| A__questionmark_v0 A__questionmark_v2)) false)) false)) (forall ((A__questionmark_v0 |tptp.'Nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod$'|) (A__questionmark_v1 |tptp.'Nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod_set$'|) (A__questionmark_v2 |tptp.'Nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod_set$'|)) (=> (and (|tptp.'member$a'| A__questionmark_v0 (|tptp.'inf$b'| A__questionmark_v1 A__questionmark_v2)) (=> (and (|tptp.'member$a'| A__questionmark_v0 A__questionmark_v1) (|tptp.'member$a'| A__questionmark_v0 A__questionmark_v2)) false)) false)) (forall ((A__questionmark_v0 |tptp.'A_TESL_atomic$'|) (A__questionmark_v1 |tptp.'A_TESL_atomic_set$'|) (A__questionmark_v2 |tptp.'A_TESL_atomic_set$'|)) (=> (and (|tptp.'member$b'| A__questionmark_v0 (|tptp.'inf$c'| A__questionmark_v1 A__questionmark_v2)) (=> (and (|tptp.'member$b'| A__questionmark_v0 A__questionmark_v1) (|tptp.'member$b'| A__questionmark_v0 A__questionmark_v2)) false)) false)) (forall ((A__questionmark_v0 |tptp.'A_TESL_atomic_list$'|) (A__questionmark_v1 |tptp.'A_TESL_atomic_list_set$'|) (A__questionmark_v2 |tptp.'A_TESL_atomic_list_set$'|)) (=> (and (|tptp.'member$c'| A__questionmark_v0 (|tptp.'inf$d'| A__questionmark_v1 A__questionmark_v2)) (=> (and (|tptp.'member$c'| A__questionmark_v0 A__questionmark_v1) (|tptp.'member$c'| A__questionmark_v0 A__questionmark_v2)) false)) false)) (forall ((A__questionmark_v0 |tptp.'A_run$'|) (A__questionmark_v1 |tptp.'A_run_set$'|) (A__questionmark_v2 |tptp.'A_run_set$'|)) (=> (and (|tptp.'member$d'| A__questionmark_v0 (|tptp.'fun_app$f'| (|tptp.'fun_app$g'| |tptp.'inf$'| A__questionmark_v1) A__questionmark_v2)) (=> (and (|tptp.'member$d'| A__questionmark_v0 A__questionmark_v1) (|tptp.'member$d'| A__questionmark_v0 A__questionmark_v2)) false)) false)) (forall ((A__questionmark_v0 |tptp.'A_TESL_atomic_a_TESL_atomic_fun_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod_bool_fun$'|) (A__questionmark_v1 |tptp.'A_TESL_atomic_a_TESL_atomic_fun_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod$'|)) (=> (forall ((A__questionmark_v2 |tptp.'A_TESL_atomic_a_TESL_atomic_fun$'|) (A__questionmark_v3 |tptp.'A_TESL_atomic_list$'|) (A__questionmark_v4 |tptp.'A_TESL_atomic_list$'|)) (|tptp.'fun_app$n'| A__questionmark_v0 (|tptp.'pair$f'| A__questionmark_v2 (|tptp.'pair$b'| A__questionmark_v3 A__questionmark_v4)))) (|tptp.'fun_app$n'| A__questionmark_v0 A__questionmark_v1))) (forall ((A__questionmark_v0 |tptp.'A_constr_list_nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod_prod_bool_fun$'|) (A__questionmark_v1 |tptp.'A_constr_list_nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod_prod$'|)) (=> (forall ((A__questionmark_v2 |tptp.'A_constr_list$'|) (A__questionmark_v3 |tptp.'Nat$'|) (A__questionmark_v4 |tptp.'A_TESL_atomic_list_a_TESL_atomic_list_prod$'|)) (|tptp.'fun_app$i'| A__questionmark_v0 (|tptp.'pair$'| A__questionmark_v2 (|tptp.'pair$a'| A__questionmark_v3 A__questionmark_v4)))) (|tptp.'fun_app$i'| A__questionmark_v0 A__questionmark_v1))) (forall ((A__questionmark_v0 |tptp.'Nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod_bool_fun$'|) (A__questionmark_v1 |tptp.'Nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod$'|)) (=> (forall ((A__questionmark_v2 |tptp.'Nat$'|) (A__questionmark_v3 |tptp.'A_TESL_atomic_list$'|) (A__questionmark_v4 |tptp.'A_TESL_atomic_list$'|)) (|tptp.'fun_app$a'| A__questionmark_v0 (|tptp.'pair$a'| A__questionmark_v2 (|tptp.'pair$b'| A__questionmark_v3 A__questionmark_v4)))) (|tptp.'fun_app$a'| A__questionmark_v0 A__questionmark_v1))) (forall ((A__questionmark_v0 |tptp.'A_TESL_atomic_a_TESL_atomic_fun_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod$'|)) (=> (forall ((A__questionmark_v1 |tptp.'A_TESL_atomic_a_TESL_atomic_fun$'|) (A__questionmark_v2 |tptp.'A_TESL_atomic_list$'|) (A__questionmark_v3 |tptp.'A_TESL_atomic_list$'|)) (=> (= A__questionmark_v0 (|tptp.'pair$f'| A__questionmark_v1 (|tptp.'pair$b'| A__questionmark_v2 A__questionmark_v3))) false)) false)) (forall ((A__questionmark_v0 |tptp.'A_constr_list_nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod_prod$'|)) (=> (forall ((A__questionmark_v1 |tptp.'A_constr_list$'|) (A__questionmark_v2 |tptp.'Nat$'|) (A__questionmark_v3 |tptp.'A_TESL_atomic_list_a_TESL_atomic_list_prod$'|)) (=> (= A__questionmark_v0 (|tptp.'pair$'| A__questionmark_v1 (|tptp.'pair$a'| A__questionmark_v2 A__questionmark_v3))) false)) false)) (forall ((A__questionmark_v0 |tptp.'Nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod$'|)) (=> (forall ((A__questionmark_v1 |tptp.'Nat$'|) (A__questionmark_v2 |tptp.'A_TESL_atomic_list$'|) (A__questionmark_v3 |tptp.'A_TESL_atomic_list$'|)) (=> (= A__questionmark_v0 (|tptp.'pair$a'| A__questionmark_v1 (|tptp.'pair$b'| A__questionmark_v2 A__questionmark_v3))) false)) false)) (forall ((A__questionmark_v0 |tptp.'Nat_a_TESL_atomic_prod$'|) (A__questionmark_v1 |tptp.'Nat_a_TESL_atomic_prod_list$'|) (A__questionmark_v2 |tptp.'Nat_a_TESL_atomic_prod$'|) (A__questionmark_v3 |tptp.'Nat_a_TESL_atomic_prod_list$'|)) (= (= (|tptp.'cons$a'| A__questionmark_v0 A__questionmark_v1) (|tptp.'cons$a'| A__questionmark_v2 A__questionmark_v3)) (and (= A__questionmark_v0 A__questionmark_v2) (= A__questionmark_v1 A__questionmark_v3)))) (forall ((A__questionmark_v0 |tptp.'A_constr_list$'|) (A__questionmark_v1 |tptp.'A_constr_list_list$'|) (A__questionmark_v2 |tptp.'A_constr_list$'|) (A__questionmark_v3 |tptp.'A_constr_list_list$'|)) (= (= (|tptp.'cons$b'| A__questionmark_v0 A__questionmark_v1) (|tptp.'cons$b'| A__questionmark_v2 A__questionmark_v3)) (and (= A__questionmark_v0 A__questionmark_v2) (= A__questionmark_v1 A__questionmark_v3)))) (forall ((A__questionmark_v0 |tptp.'A_TESL_atomic_list$'|) (A__questionmark_v1 |tptp.'A_TESL_atomic_list_list$'|) (A__questionmark_v2 |tptp.'A_TESL_atomic_list$'|) (A__questionmark_v3 |tptp.'A_TESL_atomic_list_list$'|)) (= (= (|tptp.'cons$c'| A__questionmark_v0 A__questionmark_v1) (|tptp.'cons$c'| A__questionmark_v2 A__questionmark_v3)) (and (= A__questionmark_v0 A__questionmark_v2) (= A__questionmark_v1 A__questionmark_v3)))) (forall ((A__questionmark_v0 |tptp.'Nat$'|) (A__questionmark_v1 |tptp.'Nat_list$'|) (A__questionmark_v2 |tptp.'Nat$'|) (A__questionmark_v3 |tptp.'Nat_list$'|)) (= (= (|tptp.'cons$d'| A__questionmark_v0 A__questionmark_v1) (|tptp.'cons$d'| A__questionmark_v2 A__questionmark_v3)) (and (= A__questionmark_v0 A__questionmark_v2) (= A__questionmark_v1 A__questionmark_v3)))) (forall ((A__questionmark_v0 |tptp.'A_TESL_atomic_list_nat_fun$'|) (A__questionmark_v1 |tptp.'A_TESL_atomic_list_nat_fun_list$'|) (A__questionmark_v2 |tptp.'A_TESL_atomic_list_nat_fun$'|) (A__questionmark_v3 |tptp.'A_TESL_atomic_list_nat_fun_list$'|)) (= (= (|tptp.'cons$e'| A__questionmark_v0 A__questionmark_v1) (|tptp.'cons$e'| A__questionmark_v2 A__questionmark_v3)) (and (= A__questionmark_v0 A__questionmark_v2) (= A__questionmark_v1 A__questionmark_v3)))) (forall ((A__questionmark_v0 |tptp.'A_TESL_atomic$'|) (A__questionmark_v1 |tptp.'A_TESL_atomic_list$'|) (A__questionmark_v2 |tptp.'A_TESL_atomic$'|) (A__questionmark_v3 |tptp.'A_TESL_atomic_list$'|)) (= (= (|tptp.'fun_app$e'| (|tptp.'cons$'| A__questionmark_v0) A__questionmark_v1) (|tptp.'fun_app$e'| (|tptp.'cons$'| A__questionmark_v2) A__questionmark_v3)) (and (= A__questionmark_v0 A__questionmark_v2) (= A__questionmark_v1 A__questionmark_v3)))) (forall ((A__questionmark_v0 |tptp.'Nat$'|) (A__questionmark_v1 |tptp.'Nat$'|)) (let ((_let_1 (|tptp.'fun_app$h'| |tptp.'of_nat$'| A__questionmark_v1))) (let ((_let_2 (|tptp.'fun_app$h'| |tptp.'of_nat$'| A__questionmark_v0))) (= (= (+ _let_2 1) (+ _let_1 1)) (= _let_2 _let_1))))) (forall ((A__questionmark_v0 |tptp.'Nat$'|) (A__questionmark_v1 |tptp.'Nat$'|)) (let ((_let_1 (|tptp.'fun_app$h'| |tptp.'of_nat$'| A__questionmark_v1))) (let ((_let_2 (|tptp.'fun_app$h'| |tptp.'of_nat$'| A__questionmark_v0))) (= (= (+ _let_2 1) (+ _let_1 1)) (= _let_2 _let_1))))) (forall ((A__questionmark_v0 |tptp.'A_constr_list_nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod_prod$'|) (A__questionmark_v1 |tptp.'A_run_set$'|)) (=> (and (= (|tptp.'heronConf_interpretation$'| A__questionmark_v0) A__questionmark_v1) (|tptp.'fun_app$i'| (|tptp.'accp$'| |tptp.'heronConf_interpretation_rel$'|) A__questionmark_v0) (forall ((A__questionmark_v2 |tptp.'A_constr_list$'|) (A__questionmark_v3 |tptp.'Nat$'|) (A__questionmark_v4 |tptp.'A_TESL_atomic_list$'|) (A__questionmark_v5 |tptp.'A_TESL_atomic_list$'|)) (let ((_let_1 (|tptp.'pair$'| A__questionmark_v2 (|tptp.'pair$a'| A__questionmark_v3 (|tptp.'pair$b'| A__questionmark_v4 A__questionmark_v5))))) (=> (and (= A__questionmark_v0 _let_1) (= A__questionmark_v1 (|tptp.'fun_app$f'| (|tptp.'fun_app$g'| |tptp.'inf$'| (|tptp.'fun_app$f'| (|tptp.'fun_app$g'| |tptp.'inf$'| (|tptp.'symbolic_run_interpretation$'| A__questionmark_v2)) (|tptp.'tESL_interpretation_stepwise$'| A__questionmark_v4 A__questionmark_v3))) (|tptp.'tESL_interpretation_stepwise$'| A__questionmark_v5 (|tptp.'nat$'| (+ (|tptp.'fun_app$h'| |tptp.'of_nat$'| A__questionmark_v3) 1))))) (|tptp.'fun_app$i'| (|tptp.'accp$'| |tptp.'heronConf_interpretation_rel$'|) _let_1)) false)))) false)) (forall ((A__questionmark_v0 |tptp.'A_constr_list$'|) (A__questionmark_v1 |tptp.'Nat$'|) (A__questionmark_v2 |tptp.'A_TESL_atomic_list$'|)) (= (|tptp.'heronConf_interpretation$'| (|tptp.'pair$'| A__questionmark_v0 (|tptp.'pair$a'| A__questionmark_v1 (|tptp.'pair$b'| |tptp.'nil$'| A__questionmark_v2)))) (|tptp.'heronConf_interpretation$'| (|tptp.'pair$'| A__questionmark_v0 (|tptp.'pair$a'| (|tptp.'nat$'| (+ (|tptp.'fun_app$h'| |tptp.'of_nat$'| A__questionmark_v1) 1)) (|tptp.'pair$b'| A__questionmark_v2 |tptp.'nil$'|)))))) (forall ((A__questionmark_v0 |tptp.'A_TESL_atomic$'|) (A__questionmark_v1 |tptp.'Nat$'|) (A__questionmark_v2 |tptp.'A_TESL_atomic_list$'|)) (= (|tptp.'fun_app$f'| (|tptp.'fun_app$g'| |tptp.'inf$'| (|tptp.'tESL_interpretation_atomic_stepwise$'| A__questionmark_v0 A__questionmark_v1)) (|tptp.'tESL_interpretation_stepwise$'| A__questionmark_v2 A__questionmark_v1)) (|tptp.'tESL_interpretation_stepwise$'| (|tptp.'fun_app$e'| (|tptp.'cons$'| A__questionmark_v0) A__questionmark_v2) A__questionmark_v1))) (forall ((A__questionmark_v0 |tptp.'A_TESL_atomic$'|) (A__questionmark_v1 |tptp.'A_TESL_atomic_list$'|) (A__questionmark_v2 |tptp.'Nat$'|)) (= (|tptp.'tESL_interpretation_stepwise$'| (|tptp.'fun_app$e'| (|tptp.'cons$'| A__questionmark_v0) A__questionmark_v1) A__questionmark_v2) (|tptp.'fun_app$f'| (|tptp.'fun_app$g'| |tptp.'inf$'| (|tptp.'tESL_interpretation_atomic_stepwise$'| A__questionmark_v0 A__questionmark_v2)) (|tptp.'tESL_interpretation_stepwise$'| A__questionmark_v1 A__questionmark_v2)))) (forall ((A__questionmark_v0 |tptp.'A_TESL_atomic_list$'|)) (let ((_let_1 (= A__questionmark_v0 |tptp.'nil$'|))) (=> (and (=> _let_1 false) (=> (not _let_1) false)) false))) (forall ((A__questionmark_v0 |tptp.'A_constr_list_list$'|)) (let ((_let_1 (= A__questionmark_v0 |tptp.'nil$a'|))) (=> (and (=> _let_1 false) (=> (not _let_1) false)) false))) (forall ((A__questionmark_v0 |tptp.'A_TESL_atomic_list_list$'|)) (let ((_let_1 (= A__questionmark_v0 |tptp.'nil$b'|))) (=> (and (=> _let_1 false) (=> (not _let_1) false)) false))) (forall ((A__questionmark_v0 |tptp.'Nat_list$'|)) (let ((_let_1 (= A__questionmark_v0 |tptp.'nil$c'|))) (=> (and (=> _let_1 false) (=> (not _let_1) false)) false))) (forall ((A__questionmark_v0 |tptp.'A_TESL_atomic_list_nat_fun_list$'|)) (let ((_let_1 (= A__questionmark_v0 |tptp.'nil$d'|))) (=> (and (=> _let_1 false) (=> (not _let_1) false)) false))) (forall ((A__questionmark_v0 |tptp.'Nat_a_TESL_atomic_prod_list_list$'|)) (=> (and (=> (= A__questionmark_v0 |tptp.'nil$e'|) false) (forall ((A__questionmark_v1 |tptp.'Nat_a_TESL_atomic_prod_list_list$'|)) (=> (= A__questionmark_v0 (|tptp.'cons$f'| |tptp.'nil$f'| A__questionmark_v1)) false)) (forall ((A__questionmark_v1 |tptp.'Nat_a_TESL_atomic_prod$'|) (A__questionmark_v2 |tptp.'Nat_a_TESL_atomic_prod_list$'|) (A__questionmark_v3 |tptp.'Nat_a_TESL_atomic_prod_list_list$'|)) (=> (= A__questionmark_v0 (|tptp.'cons$f'| (|tptp.'cons$a'| A__questionmark_v1 A__questionmark_v2) A__questionmark_v3)) false))) false)) (forall ((A__questionmark_v0 |tptp.'A_constr_list_list_list$'|)) (=> (and (=> (= A__questionmark_v0 |tptp.'nil$g'|) false) (forall ((A__questionmark_v1 |tptp.'A_constr_list_list_list$'|)) (=> (= A__questionmark_v0 (|tptp.'cons$g'| |tptp.'nil$a'| A__questionmark_v1)) false)) (forall ((A__questionmark_v1 |tptp.'A_constr_list$'|) (A__questionmark_v2 |tptp.'A_constr_list_list$'|) (A__questionmark_v3 |tptp.'A_constr_list_list_list$'|)) (=> (= A__questionmark_v0 (|tptp.'cons$g'| (|tptp.'cons$b'| A__questionmark_v1 A__questionmark_v2) A__questionmark_v3)) false))) false)) (forall ((A__questionmark_v0 |tptp.'A_TESL_atomic_list_list_list$'|)) (=> (and (=> (= A__questionmark_v0 |tptp.'nil$h'|) false) (forall ((A__questionmark_v1 |tptp.'A_TESL_atomic_list_list_list$'|)) (=> (= A__questionmark_v0 (|tptp.'cons$h'| |tptp.'nil$b'| A__questionmark_v1)) false)) (forall ((A__questionmark_v1 |tptp.'A_TESL_atomic_list$'|) (A__questionmark_v2 |tptp.'A_TESL_atomic_list_list$'|) (A__questionmark_v3 |tptp.'A_TESL_atomic_list_list_list$'|)) (=> (= A__questionmark_v0 (|tptp.'cons$h'| (|tptp.'cons$c'| A__questionmark_v1 A__questionmark_v2) A__questionmark_v3)) false))) false)) (forall ((A__questionmark_v0 |tptp.'Nat_list_list$'|)) (=> (and (=> (= A__questionmark_v0 |tptp.'nil$i'|) false) (forall ((A__questionmark_v1 |tptp.'Nat_list_list$'|)) (=> (= A__questionmark_v0 (|tptp.'cons$i'| |tptp.'nil$c'| A__questionmark_v1)) false)) (forall ((A__questionmark_v1 |tptp.'Nat$'|) (A__questionmark_v2 |tptp.'Nat_list$'|) (A__questionmark_v3 |tptp.'Nat_list_list$'|)) (=> (= A__questionmark_v0 (|tptp.'cons$i'| (|tptp.'cons$d'| A__questionmark_v1 A__questionmark_v2) A__questionmark_v3)) false))) false)) (forall ((A__questionmark_v0 |tptp.'A_TESL_atomic_list_nat_fun_list_list$'|)) (=> (and (=> (= A__questionmark_v0 |tptp.'nil$j'|) false) (forall ((A__questionmark_v1 |tptp.'A_TESL_atomic_list_nat_fun_list_list$'|)) (=> (= A__questionmark_v0 (|tptp.'cons$j'| |tptp.'nil$d'| A__questionmark_v1)) false)) (forall ((A__questionmark_v1 |tptp.'A_TESL_atomic_list_nat_fun$'|) (A__questionmark_v2 |tptp.'A_TESL_atomic_list_nat_fun_list$'|) (A__questionmark_v3 |tptp.'A_TESL_atomic_list_nat_fun_list_list$'|)) (=> (= A__questionmark_v0 (|tptp.'cons$j'| (|tptp.'cons$e'| A__questionmark_v1 A__questionmark_v2) A__questionmark_v3)) false))) false)) (forall ((A__questionmark_v0 |tptp.'A_constr_list_list$'|)) (=> (and (=> (= A__questionmark_v0 |tptp.'nil$a'|) false) (forall ((A__questionmark_v1 |tptp.'A_constr_list_list$'|)) (=> (= A__questionmark_v0 (|tptp.'cons$b'| |tptp.'nil$k'| A__questionmark_v1)) false)) (forall ((A__questionmark_v1 |tptp.'A_constr$'|) (A__questionmark_v2 |tptp.'A_constr_list$'|) (A__questionmark_v3 |tptp.'A_constr_list_list$'|)) (=> (= A__questionmark_v0 (|tptp.'cons$b'| (|tptp.'cons$k'| A__questionmark_v1 A__questionmark_v2) A__questionmark_v3)) false))) false)) (forall ((A__questionmark_v0 |tptp.'A_TESL_atomic_list_list$'|)) (=> (and (=> (= A__questionmark_v0 |tptp.'nil$b'|) false) (forall ((A__questionmark_v1 |tptp.'A_TESL_atomic_list_list$'|)) (=> (= A__questionmark_v0 (|tptp.'cons$c'| |tptp.'nil$'| A__questionmark_v1)) false)) (forall ((A__questionmark_v1 |tptp.'A_TESL_atomic$'|) (A__questionmark_v2 |tptp.'A_TESL_atomic_list$'|) (A__questionmark_v3 |tptp.'A_TESL_atomic_list_list$'|)) (=> (= A__questionmark_v0 (|tptp.'cons$c'| (|tptp.'fun_app$e'| (|tptp.'cons$'| A__questionmark_v1) A__questionmark_v2) A__questionmark_v3)) false))) false)) (forall ((A__questionmark_v0 |tptp.'Nat_a_TESL_atomic_prod$'|) (A__questionmark_v1 |tptp.'Nat_a_TESL_atomic_prod_list$'|)) (not (= |tptp.'nil$f'| (|tptp.'cons$a'| A__questionmark_v0 A__questionmark_v1)))) (forall ((A__questionmark_v0 |tptp.'A_constr_list$'|) (A__questionmark_v1 |tptp.'A_constr_list_list$'|)) (not (= |tptp.'nil$a'| (|tptp.'cons$b'| A__questionmark_v0 A__questionmark_v1)))) (forall ((A__questionmark_v0 |tptp.'A_TESL_atomic_list$'|) (A__questionmark_v1 |tptp.'A_TESL_atomic_list_list$'|)) (not (= |tptp.'nil$b'| (|tptp.'cons$c'| A__questionmark_v0 A__questionmark_v1)))) (forall ((A__questionmark_v0 |tptp.'Nat$'|) (A__questionmark_v1 |tptp.'Nat_list$'|)) (not (= |tptp.'nil$c'| (|tptp.'cons$d'| A__questionmark_v0 A__questionmark_v1)))) (forall ((A__questionmark_v0 |tptp.'A_TESL_atomic_list_nat_fun$'|) (A__questionmark_v1 |tptp.'A_TESL_atomic_list_nat_fun_list$'|)) (not (= |tptp.'nil$d'| (|tptp.'cons$e'| A__questionmark_v0 A__questionmark_v1)))) (forall ((A__questionmark_v0 |tptp.'A_TESL_atomic$'|) (A__questionmark_v1 |tptp.'A_TESL_atomic_list$'|)) (not (= |tptp.'nil$'| (|tptp.'fun_app$e'| (|tptp.'cons$'| A__questionmark_v0) A__questionmark_v1)))) (forall ((A__questionmark_v0 |tptp.'Nat_a_TESL_atomic_prod_list$'|) (A__questionmark_v1 |tptp.'Nat_a_TESL_atomic_prod$'|) (A__questionmark_v2 |tptp.'Nat_a_TESL_atomic_prod_list$'|)) (=> (= A__questionmark_v0 (|tptp.'cons$a'| A__questionmark_v1 A__questionmark_v2)) (not (= A__questionmark_v0 |tptp.'nil$f'|)))) (forall ((A__questionmark_v0 |tptp.'A_constr_list_list$'|) (A__questionmark_v1 |tptp.'A_constr_list$'|) (A__questionmark_v2 |tptp.'A_constr_list_list$'|)) (=> (= A__questionmark_v0 (|tptp.'cons$b'| A__questionmark_v1 A__questionmark_v2)) (not (= A__questionmark_v0 |tptp.'nil$a'|)))) (forall ((A__questionmark_v0 |tptp.'A_TESL_atomic_list_list$'|) (A__questionmark_v1 |tptp.'A_TESL_atomic_list$'|) (A__questionmark_v2 |tptp.'A_TESL_atomic_list_list$'|)) (=> (= A__questionmark_v0 (|tptp.'cons$c'| A__questionmark_v1 A__questionmark_v2)) (not (= A__questionmark_v0 |tptp.'nil$b'|)))) (forall ((A__questionmark_v0 |tptp.'Nat_list$'|) (A__questionmark_v1 |tptp.'Nat$'|) (A__questionmark_v2 |tptp.'Nat_list$'|)) (=> (= A__questionmark_v0 (|tptp.'cons$d'| A__questionmark_v1 A__questionmark_v2)) (not (= A__questionmark_v0 |tptp.'nil$c'|)))) (forall ((A__questionmark_v0 |tptp.'A_TESL_atomic_list_nat_fun_list$'|) (A__questionmark_v1 |tptp.'A_TESL_atomic_list_nat_fun$'|) (A__questionmark_v2 |tptp.'A_TESL_atomic_list_nat_fun_list$'|)) (=> (= A__questionmark_v0 (|tptp.'cons$e'| A__questionmark_v1 A__questionmark_v2)) (not (= A__questionmark_v0 |tptp.'nil$d'|)))) (forall ((A__questionmark_v0 |tptp.'A_TESL_atomic_list$'|) (A__questionmark_v1 |tptp.'A_TESL_atomic$'|) (A__questionmark_v2 |tptp.'A_TESL_atomic_list$'|)) (=> (= A__questionmark_v0 (|tptp.'fun_app$e'| (|tptp.'cons$'| A__questionmark_v1) A__questionmark_v2)) (not (= A__questionmark_v0 |tptp.'nil$'|)))) (forall ((A__questionmark_v0 |tptp.'Nat_a_TESL_atomic_prod_list$'|)) (=> (and (=> (= A__questionmark_v0 |tptp.'nil$f'|) false) (forall ((A__questionmark_v1 |tptp.'Nat_a_TESL_atomic_prod$'|) (A__questionmark_v2 |tptp.'Nat_a_TESL_atomic_prod_list$'|)) (=> (= A__questionmark_v0 (|tptp.'cons$a'| A__questionmark_v1 A__questionmark_v2)) false))) false)) (forall ((A__questionmark_v0 |tptp.'A_constr_list_list$'|)) (=> (and (=> (= A__questionmark_v0 |tptp.'nil$a'|) false) (forall ((A__questionmark_v1 |tptp.'A_constr_list$'|) (A__questionmark_v2 |tptp.'A_constr_list_list$'|)) (=> (= A__questionmark_v0 (|tptp.'cons$b'| A__questionmark_v1 A__questionmark_v2)) false))) false)) (forall ((A__questionmark_v0 |tptp.'A_TESL_atomic_list_list$'|)) (=> (and (=> (= A__questionmark_v0 |tptp.'nil$b'|) false) (forall ((A__questionmark_v1 |tptp.'A_TESL_atomic_list$'|) (A__questionmark_v2 |tptp.'A_TESL_atomic_list_list$'|)) (=> (= A__questionmark_v0 (|tptp.'cons$c'| A__questionmark_v1 A__questionmark_v2)) false))) false)) (forall ((A__questionmark_v0 |tptp.'Nat_list$'|)) (=> (and (=> (= A__questionmark_v0 |tptp.'nil$c'|) false) (forall ((A__questionmark_v1 |tptp.'Nat$'|) (A__questionmark_v2 |tptp.'Nat_list$'|)) (=> (= A__questionmark_v0 (|tptp.'cons$d'| A__questionmark_v1 A__questionmark_v2)) false))) false)) (forall ((A__questionmark_v0 |tptp.'A_TESL_atomic_list_nat_fun_list$'|)) (=> (and (=> (= A__questionmark_v0 |tptp.'nil$d'|) false) (forall ((A__questionmark_v1 |tptp.'A_TESL_atomic_list_nat_fun$'|) (A__questionmark_v2 |tptp.'A_TESL_atomic_list_nat_fun_list$'|)) (=> (= A__questionmark_v0 (|tptp.'cons$e'| A__questionmark_v1 A__questionmark_v2)) false))) false)) (forall ((A__questionmark_v0 |tptp.'A_TESL_atomic_list$'|)) (=> (and (=> (= A__questionmark_v0 |tptp.'nil$'|) false) (forall ((A__questionmark_v1 |tptp.'A_TESL_atomic$'|) (A__questionmark_v2 |tptp.'A_TESL_atomic_list$'|)) (=> (= A__questionmark_v0 (|tptp.'fun_app$e'| (|tptp.'cons$'| A__questionmark_v1) A__questionmark_v2)) false))) false)) (forall ((A__questionmark_v0 |tptp.'Nat_list$'|)) (=> (and (forall ((A__questionmark_v1 |tptp.'Nat$'|) (A__questionmark_v2 |tptp.'Nat_list$'|)) (=> (= A__questionmark_v0 (|tptp.'cons$d'| A__questionmark_v1 A__questionmark_v2)) false)) (=> (= A__questionmark_v0 |tptp.'nil$c'|) false)) false)) (forall ((A__questionmark_v0 |tptp.'A_TESL_atomic_list_nat_fun_list$'|)) (=> (and (forall ((A__questionmark_v1 |tptp.'A_TESL_atomic_list_nat_fun$'|) (A__questionmark_v2 |tptp.'A_TESL_atomic_list_nat_fun_list$'|)) (=> (= A__questionmark_v0 (|tptp.'cons$e'| A__questionmark_v1 A__questionmark_v2)) false)) (=> (= A__questionmark_v0 |tptp.'nil$d'|) false)) false)) (forall ((A__questionmark_v0 |tptp.'Nat_a_TESL_atomic_prod_list$'|)) (=> (and (=> (= A__questionmark_v0 |tptp.'nil$f'|) false) (forall ((A__questionmark_v1 |tptp.'Nat_a_TESL_atomic_prod$'|)) (=> (= A__questionmark_v0 (|tptp.'cons$a'| A__questionmark_v1 |tptp.'nil$f'|)) false)) (forall ((A__questionmark_v1 |tptp.'Nat_a_TESL_atomic_prod$'|) (A__questionmark_v2 |tptp.'Nat_a_TESL_atomic_prod$'|) (A__questionmark_v3 |tptp.'Nat_a_TESL_atomic_prod_list$'|)) (=> (= A__questionmark_v0 (|tptp.'cons$a'| A__questionmark_v1 (|tptp.'cons$a'| A__questionmark_v2 A__questionmark_v3))) false))) false)) (forall ((A__questionmark_v0 |tptp.'A_constr_list_list$'|)) (=> (and (=> (= A__questionmark_v0 |tptp.'nil$a'|) false) (forall ((A__questionmark_v1 |tptp.'A_constr_list$'|)) (=> (= A__questionmark_v0 (|tptp.'cons$b'| A__questionmark_v1 |tptp.'nil$a'|)) false)) (forall ((A__questionmark_v1 |tptp.'A_constr_list$'|) (A__questionmark_v2 |tptp.'A_constr_list$'|) (A__questionmark_v3 |tptp.'A_constr_list_list$'|)) (=> (= A__questionmark_v0 (|tptp.'cons$b'| A__questionmark_v1 (|tptp.'cons$b'| A__questionmark_v2 A__questionmark_v3))) false))) false)) (forall ((A__questionmark_v0 |tptp.'A_TESL_atomic_list_list$'|)) (=> (and (=> (= A__questionmark_v0 |tptp.'nil$b'|) false) (forall ((A__questionmark_v1 |tptp.'A_TESL_atomic_list$'|)) (=> (= A__questionmark_v0 (|tptp.'cons$c'| A__questionmark_v1 |tptp.'nil$b'|)) false)) (forall ((A__questionmark_v1 |tptp.'A_TESL_atomic_list$'|) (A__questionmark_v2 |tptp.'A_TESL_atomic_list$'|) (A__questionmark_v3 |tptp.'A_TESL_atomic_list_list$'|)) (=> (= A__questionmark_v0 (|tptp.'cons$c'| A__questionmark_v1 (|tptp.'cons$c'| A__questionmark_v2 A__questionmark_v3))) false))) false)) (forall ((A__questionmark_v0 |tptp.'Nat_list$'|)) (=> (and (=> (= A__questionmark_v0 |tptp.'nil$c'|) false) (forall ((A__questionmark_v1 |tptp.'Nat$'|)) (=> (= A__questionmark_v0 (|tptp.'cons$d'| A__questionmark_v1 |tptp.'nil$c'|)) false)) (forall ((A__questionmark_v1 |tptp.'Nat$'|) (A__questionmark_v2 |tptp.'Nat$'|) (A__questionmark_v3 |tptp.'Nat_list$'|)) (=> (= A__questionmark_v0 (|tptp.'cons$d'| A__questionmark_v1 (|tptp.'cons$d'| A__questionmark_v2 A__questionmark_v3))) false))) false)) (forall ((A__questionmark_v0 |tptp.'A_TESL_atomic_list_nat_fun_list$'|)) (=> (and (=> (= A__questionmark_v0 |tptp.'nil$d'|) false) (forall ((A__questionmark_v1 |tptp.'A_TESL_atomic_list_nat_fun$'|)) (=> (= A__questionmark_v0 (|tptp.'cons$e'| A__questionmark_v1 |tptp.'nil$d'|)) false)) (forall ((A__questionmark_v1 |tptp.'A_TESL_atomic_list_nat_fun$'|) (A__questionmark_v2 |tptp.'A_TESL_atomic_list_nat_fun$'|) (A__questionmark_v3 |tptp.'A_TESL_atomic_list_nat_fun_list$'|)) (=> (= A__questionmark_v0 (|tptp.'cons$e'| A__questionmark_v1 (|tptp.'cons$e'| A__questionmark_v2 A__questionmark_v3))) false))) false)) (forall ((A__questionmark_v0 |tptp.'A_TESL_atomic_list$'|)) (=> (and (=> (= A__questionmark_v0 |tptp.'nil$'|) false) (forall ((A__questionmark_v1 |tptp.'A_TESL_atomic$'|)) (=> (= A__questionmark_v0 (|tptp.'fun_app$e'| (|tptp.'cons$'| A__questionmark_v1) |tptp.'nil$'|)) false)) (forall ((A__questionmark_v1 |tptp.'A_TESL_atomic$'|) (A__questionmark_v2 |tptp.'A_TESL_atomic$'|) (A__questionmark_v3 |tptp.'A_TESL_atomic_list$'|)) (=> (= A__questionmark_v0 (|tptp.'fun_app$e'| (|tptp.'cons$'| A__questionmark_v1) (|tptp.'fun_app$e'| (|tptp.'cons$'| A__questionmark_v2) A__questionmark_v3))) false))) false)) (forall ((A__questionmark_v0 |tptp.'Nat_a_TESL_atomic_prod_list$'|)) (= (not (= A__questionmark_v0 |tptp.'nil$f'|)) (exists ((A__questionmark_v1 |tptp.'Nat_a_TESL_atomic_prod$'|) (A__questionmark_v2 |tptp.'Nat_a_TESL_atomic_prod_list$'|)) (= A__questionmark_v0 (|tptp.'cons$a'| A__questionmark_v1 A__questionmark_v2))))) (forall ((A__questionmark_v0 |tptp.'A_constr_list_list$'|)) (= (not (= A__questionmark_v0 |tptp.'nil$a'|)) (exists ((A__questionmark_v1 |tptp.'A_constr_list$'|) (A__questionmark_v2 |tptp.'A_constr_list_list$'|)) (= A__questionmark_v0 (|tptp.'cons$b'| A__questionmark_v1 A__questionmark_v2))))) (forall ((A__questionmark_v0 |tptp.'A_TESL_atomic_list_list$'|)) (= (not (= A__questionmark_v0 |tptp.'nil$b'|)) (exists ((A__questionmark_v1 |tptp.'A_TESL_atomic_list$'|) (A__questionmark_v2 |tptp.'A_TESL_atomic_list_list$'|)) (= A__questionmark_v0 (|tptp.'cons$c'| A__questionmark_v1 A__questionmark_v2))))) (forall ((A__questionmark_v0 |tptp.'Nat_list$'|)) (= (not (= A__questionmark_v0 |tptp.'nil$c'|)) (exists ((A__questionmark_v1 |tptp.'Nat$'|) (A__questionmark_v2 |tptp.'Nat_list$'|)) (= A__questionmark_v0 (|tptp.'cons$d'| A__questionmark_v1 A__questionmark_v2))))) (forall ((A__questionmark_v0 |tptp.'A_TESL_atomic_list_nat_fun_list$'|)) (= (not (= A__questionmark_v0 |tptp.'nil$d'|)) (exists ((A__questionmark_v1 |tptp.'A_TESL_atomic_list_nat_fun$'|) (A__questionmark_v2 |tptp.'A_TESL_atomic_list_nat_fun_list$'|)) (= A__questionmark_v0 (|tptp.'cons$e'| A__questionmark_v1 A__questionmark_v2))))) (forall ((A__questionmark_v0 |tptp.'A_TESL_atomic_list$'|)) (= (not (= A__questionmark_v0 |tptp.'nil$'|)) (exists ((A__questionmark_v1 |tptp.'A_TESL_atomic$'|) (A__questionmark_v2 |tptp.'A_TESL_atomic_list$'|)) (= A__questionmark_v0 (|tptp.'fun_app$e'| (|tptp.'cons$'| A__questionmark_v1) A__questionmark_v2))))) (forall ((A__questionmark_v0 |tptp.'A_TESL_atomic_list_a_TESL_atomic_list_bool_fun_fun$'|) (A__questionmark_v1 |tptp.'A_TESL_atomic_list$'|) (A__questionmark_v2 |tptp.'A_TESL_atomic_list$'|)) (=> (and (|tptp.'fun_app$c'| (|tptp.'fun_app$q'| A__questionmark_v0 |tptp.'nil$'|) |tptp.'nil$'|) (forall ((A__questionmark_v3 |tptp.'A_TESL_atomic$'|) (A__questionmark_v4 |tptp.'A_TESL_atomic_list$'|)) (|tptp.'fun_app$c'| (|tptp.'fun_app$q'| A__questionmark_v0 (|tptp.'fun_app$e'| (|tptp.'cons$'| A__questionmark_v3) A__questionmark_v4)) |tptp.'nil$'|)) (forall ((A__questionmark_v3 |tptp.'A_TESL_atomic$'|) (A__questionmark_v4 |tptp.'A_TESL_atomic_list$'|)) (|tptp.'fun_app$c'| (|tptp.'fun_app$q'| A__questionmark_v0 |tptp.'nil$'|) (|tptp.'fun_app$e'| (|tptp.'cons$'| A__questionmark_v3) A__questionmark_v4))) (forall ((A__questionmark_v3 |tptp.'A_TESL_atomic$'|) (A__questionmark_v4 |tptp.'A_TESL_atomic_list$'|) (A__questionmark_v5 |tptp.'A_TESL_atomic$'|) (A__questionmark_v6 |tptp.'A_TESL_atomic_list$'|)) (=> (|tptp.'fun_app$c'| (|tptp.'fun_app$q'| A__questionmark_v0 A__questionmark_v4) A__questionmark_v6) (|tptp.'fun_app$c'| (|tptp.'fun_app$q'| A__questionmark_v0 (|tptp.'fun_app$e'| (|tptp.'cons$'| A__questionmark_v3) A__questionmark_v4)) (|tptp.'fun_app$e'| (|tptp.'cons$'| A__questionmark_v5) A__questionmark_v6))))) (|tptp.'fun_app$c'| (|tptp.'fun_app$q'| A__questionmark_v0 A__questionmark_v1) A__questionmark_v2))) (forall ((A__questionmark_v0 |tptp.'Nat_list_nat_list_bool_fun_fun$'|) (A__questionmark_v1 |tptp.'Nat_list$'|) (A__questionmark_v2 |tptp.'Nat_list$'|)) (=> (and (|tptp.'fun_app$r'| (|tptp.'fun_app$s'| A__questionmark_v0 |tptp.'nil$c'|) |tptp.'nil$c'|) (forall ((A__questionmark_v3 |tptp.'Nat$'|) (A__questionmark_v4 |tptp.'Nat_list$'|)) (|tptp.'fun_app$r'| (|tptp.'fun_app$s'| A__questionmark_v0 (|tptp.'cons$d'| A__questionmark_v3 A__questionmark_v4)) |tptp.'nil$c'|)) (forall ((A__questionmark_v3 |tptp.'Nat$'|) (A__questionmark_v4 |tptp.'Nat_list$'|)) (|tptp.'fun_app$r'| (|tptp.'fun_app$s'| A__questionmark_v0 |tptp.'nil$c'|) (|tptp.'cons$d'| A__questionmark_v3 A__questionmark_v4))) (forall ((A__questionmark_v3 |tptp.'Nat$'|) (A__questionmark_v4 |tptp.'Nat_list$'|) (A__questionmark_v5 |tptp.'Nat$'|) (A__questionmark_v6 |tptp.'Nat_list$'|)) (=> (|tptp.'fun_app$r'| (|tptp.'fun_app$s'| A__questionmark_v0 A__questionmark_v4) A__questionmark_v6) (|tptp.'fun_app$r'| (|tptp.'fun_app$s'| A__questionmark_v0 (|tptp.'cons$d'| A__questionmark_v3 A__questionmark_v4)) (|tptp.'cons$d'| A__questionmark_v5 A__questionmark_v6))))) (|tptp.'fun_app$r'| (|tptp.'fun_app$s'| A__questionmark_v0 A__questionmark_v1) A__questionmark_v2))) (forall ((A__questionmark_v0 |tptp.'A_TESL_atomic_list_nat_list_bool_fun_fun$'|) (A__questionmark_v1 |tptp.'A_TESL_atomic_list$'|) (A__questionmark_v2 |tptp.'Nat_list$'|)) (=> (and (|tptp.'fun_app$r'| (|tptp.'fun_app$t'| A__questionmark_v0 |tptp.'nil$'|) |tptp.'nil$c'|) (forall ((A__questionmark_v3 |tptp.'A_TESL_atomic$'|) (A__questionmark_v4 |tptp.'A_TESL_atomic_list$'|)) (|tptp.'fun_app$r'| (|tptp.'fun_app$t'| A__questionmark_v0 (|tptp.'fun_app$e'| (|tptp.'cons$'| A__questionmark_v3) A__questionmark_v4)) |tptp.'nil$c'|)) (forall ((A__questionmark_v3 |tptp.'Nat$'|) (A__questionmark_v4 |tptp.'Nat_list$'|)) (|tptp.'fun_app$r'| (|tptp.'fun_app$t'| A__questionmark_v0 |tptp.'nil$'|) (|tptp.'cons$d'| A__questionmark_v3 A__questionmark_v4))) (forall ((A__questionmark_v3 |tptp.'A_TESL_atomic$'|) (A__questionmark_v4 |tptp.'A_TESL_atomic_list$'|) (A__questionmark_v5 |tptp.'Nat$'|) (A__questionmark_v6 |tptp.'Nat_list$'|)) (=> (|tptp.'fun_app$r'| (|tptp.'fun_app$t'| A__questionmark_v0 A__questionmark_v4) A__questionmark_v6) (|tptp.'fun_app$r'| (|tptp.'fun_app$t'| A__questionmark_v0 (|tptp.'fun_app$e'| (|tptp.'cons$'| A__questionmark_v3) A__questionmark_v4)) (|tptp.'cons$d'| A__questionmark_v5 A__questionmark_v6))))) (|tptp.'fun_app$r'| (|tptp.'fun_app$t'| A__questionmark_v0 A__questionmark_v1) A__questionmark_v2))) (forall ((A__questionmark_v0 |tptp.'Nat_list_a_TESL_atomic_list_bool_fun_fun$'|) (A__questionmark_v1 |tptp.'Nat_list$'|) (A__questionmark_v2 |tptp.'A_TESL_atomic_list$'|)) (=> (and (|tptp.'fun_app$c'| (|tptp.'fun_app$u'| A__questionmark_v0 |tptp.'nil$c'|) |tptp.'nil$'|) (forall ((A__questionmark_v3 |tptp.'Nat$'|) (A__questionmark_v4 |tptp.'Nat_list$'|)) (|tptp.'fun_app$c'| (|tptp.'fun_app$u'| A__questionmark_v0 (|tptp.'cons$d'| A__questionmark_v3 A__questionmark_v4)) |tptp.'nil$'|)) (forall ((A__questionmark_v3 |tptp.'A_TESL_atomic$'|) (A__questionmark_v4 |tptp.'A_TESL_atomic_list$'|)) (|tptp.'fun_app$c'| (|tptp.'fun_app$u'| A__questionmark_v0 |tptp.'nil$c'|) (|tptp.'fun_app$e'| (|tptp.'cons$'| A__questionmark_v3) A__questionmark_v4))) (forall ((A__questionmark_v3 |tptp.'Nat$'|) (A__questionmark_v4 |tptp.'Nat_list$'|) (A__questionmark_v5 |tptp.'A_TESL_atomic$'|) (A__questionmark_v6 |tptp.'A_TESL_atomic_list$'|)) (=> (|tptp.'fun_app$c'| (|tptp.'fun_app$u'| A__questionmark_v0 A__questionmark_v4) A__questionmark_v6) (|tptp.'fun_app$c'| (|tptp.'fun_app$u'| A__questionmark_v0 (|tptp.'cons$d'| A__questionmark_v3 A__questionmark_v4)) (|tptp.'fun_app$e'| (|tptp.'cons$'| A__questionmark_v5) A__questionmark_v6))))) (|tptp.'fun_app$c'| (|tptp.'fun_app$u'| A__questionmark_v0 A__questionmark_v1) A__questionmark_v2))) (forall ((A__questionmark_v0 |tptp.'A_constr_list_list_nat_list_bool_fun_fun$'|) (A__questionmark_v1 |tptp.'A_constr_list_list$'|) (A__questionmark_v2 |tptp.'Nat_list$'|)) (=> (and (|tptp.'fun_app$r'| (|tptp.'fun_app$v'| A__questionmark_v0 |tptp.'nil$a'|) |tptp.'nil$c'|) (forall ((A__questionmark_v3 |tptp.'A_constr_list$'|) (A__questionmark_v4 |tptp.'A_constr_list_list$'|)) (|tptp.'fun_app$r'| (|tptp.'fun_app$v'| A__questionmark_v0 (|tptp.'cons$b'| A__questionmark_v3 A__questionmark_v4)) |tptp.'nil$c'|)) (forall ((A__questionmark_v3 |tptp.'Nat$'|) (A__questionmark_v4 |tptp.'Nat_list$'|)) (|tptp.'fun_app$r'| (|tptp.'fun_app$v'| A__questionmark_v0 |tptp.'nil$a'|) (|tptp.'cons$d'| A__questionmark_v3 A__questionmark_v4))) (forall ((A__questionmark_v3 |tptp.'A_constr_list$'|) (A__questionmark_v4 |tptp.'A_constr_list_list$'|) (A__questionmark_v5 |tptp.'Nat$'|) (A__questionmark_v6 |tptp.'Nat_list$'|)) (=> (|tptp.'fun_app$r'| (|tptp.'fun_app$v'| A__questionmark_v0 A__questionmark_v4) A__questionmark_v6) (|tptp.'fun_app$r'| (|tptp.'fun_app$v'| A__questionmark_v0 (|tptp.'cons$b'| A__questionmark_v3 A__questionmark_v4)) (|tptp.'cons$d'| A__questionmark_v5 A__questionmark_v6))))) (|tptp.'fun_app$r'| (|tptp.'fun_app$v'| A__questionmark_v0 A__questionmark_v1) A__questionmark_v2))) (forall ((A__questionmark_v0 |tptp.'A_TESL_atomic_list_list_nat_list_bool_fun_fun$'|) (A__questionmark_v1 |tptp.'A_TESL_atomic_list_list$'|) (A__questionmark_v2 |tptp.'Nat_list$'|)) (=> (and (|tptp.'fun_app$r'| (|tptp.'fun_app$w'| A__questionmark_v0 |tptp.'nil$b'|) |tptp.'nil$c'|) (forall ((A__questionmark_v3 |tptp.'A_TESL_atomic_list$'|) (A__questionmark_v4 |tptp.'A_TESL_atomic_list_list$'|)) (|tptp.'fun_app$r'| (|tptp.'fun_app$w'| A__questionmark_v0 (|tptp.'cons$c'| A__questionmark_v3 A__questionmark_v4)) |tptp.'nil$c'|)) (forall ((A__questionmark_v3 |tptp.'Nat$'|) (A__questionmark_v4 |tptp.'Nat_list$'|)) (|tptp.'fun_app$r'| (|tptp.'fun_app$w'| A__questionmark_v0 |tptp.'nil$b'|) (|tptp.'cons$d'| A__questionmark_v3 A__questionmark_v4))) (forall ((A__questionmark_v3 |tptp.'A_TESL_atomic_list$'|) (A__questionmark_v4 |tptp.'A_TESL_atomic_list_list$'|) (A__questionmark_v5 |tptp.'Nat$'|) (A__questionmark_v6 |tptp.'Nat_list$'|)) (=> (|tptp.'fun_app$r'| (|tptp.'fun_app$w'| A__questionmark_v0 A__questionmark_v4) A__questionmark_v6) (|tptp.'fun_app$r'| (|tptp.'fun_app$w'| A__questionmark_v0 (|tptp.'cons$c'| A__questionmark_v3 A__questionmark_v4)) (|tptp.'cons$d'| A__questionmark_v5 A__questionmark_v6))))) (|tptp.'fun_app$r'| (|tptp.'fun_app$w'| A__questionmark_v0 A__questionmark_v1) A__questionmark_v2))) (forall ((A__questionmark_v0 |tptp.'Nat_list_a_constr_list_list_bool_fun_fun$'|) (A__questionmark_v1 |tptp.'Nat_list$'|) (A__questionmark_v2 |tptp.'A_constr_list_list$'|)) (=> (and (|tptp.'fun_app$x'| (|tptp.'fun_app$y'| A__questionmark_v0 |tptp.'nil$c'|) |tptp.'nil$a'|) (forall ((A__questionmark_v3 |tptp.'Nat$'|) (A__questionmark_v4 |tptp.'Nat_list$'|)) (|tptp.'fun_app$x'| (|tptp.'fun_app$y'| A__questionmark_v0 (|tptp.'cons$d'| A__questionmark_v3 A__questionmark_v4)) |tptp.'nil$a'|)) (forall ((A__questionmark_v3 |tptp.'A_constr_list$'|) (A__questionmark_v4 |tptp.'A_constr_list_list$'|)) (|tptp.'fun_app$x'| (|tptp.'fun_app$y'| A__questionmark_v0 |tptp.'nil$c'|) (|tptp.'cons$b'| A__questionmark_v3 A__questionmark_v4))) (forall ((A__questionmark_v3 |tptp.'Nat$'|) (A__questionmark_v4 |tptp.'Nat_list$'|) (A__questionmark_v5 |tptp.'A_constr_list$'|) (A__questionmark_v6 |tptp.'A_constr_list_list$'|)) (=> (|tptp.'fun_app$x'| (|tptp.'fun_app$y'| A__questionmark_v0 A__questionmark_v4) A__questionmark_v6) (|tptp.'fun_app$x'| (|tptp.'fun_app$y'| A__questionmark_v0 (|tptp.'cons$d'| A__questionmark_v3 A__questionmark_v4)) (|tptp.'cons$b'| A__questionmark_v5 A__questionmark_v6))))) (|tptp.'fun_app$x'| (|tptp.'fun_app$y'| A__questionmark_v0 A__questionmark_v1) A__questionmark_v2))) (forall ((A__questionmark_v0 |tptp.'Nat_list_a_TESL_atomic_list_list_bool_fun_fun$'|) (A__questionmark_v1 |tptp.'Nat_list$'|) (A__questionmark_v2 |tptp.'A_TESL_atomic_list_list$'|)) (=> (and (|tptp.'fun_app$z'| (|tptp.'fun_app$aa'| A__questionmark_v0 |tptp.'nil$c'|) |tptp.'nil$b'|) (forall ((A__questionmark_v3 |tptp.'Nat$'|) (A__questionmark_v4 |tptp.'Nat_list$'|)) (|tptp.'fun_app$z'| (|tptp.'fun_app$aa'| A__questionmark_v0 (|tptp.'cons$d'| A__questionmark_v3 A__questionmark_v4)) |tptp.'nil$b'|)) (forall ((A__questionmark_v3 |tptp.'A_TESL_atomic_list$'|) (A__questionmark_v4 |tptp.'A_TESL_atomic_list_list$'|)) (|tptp.'fun_app$z'| (|tptp.'fun_app$aa'| A__questionmark_v0 |tptp.'nil$c'|) (|tptp.'cons$c'| A__questionmark_v3 A__questionmark_v4))) (forall ((A__questionmark_v3 |tptp.'Nat$'|) (A__questionmark_v4 |tptp.'Nat_list$'|) (A__questionmark_v5 |tptp.'A_TESL_atomic_list$'|) (A__questionmark_v6 |tptp.'A_TESL_atomic_list_list$'|)) (=> (|tptp.'fun_app$z'| (|tptp.'fun_app$aa'| A__questionmark_v0 A__questionmark_v4) A__questionmark_v6) (|tptp.'fun_app$z'| (|tptp.'fun_app$aa'| A__questionmark_v0 (|tptp.'cons$d'| A__questionmark_v3 A__questionmark_v4)) (|tptp.'cons$c'| A__questionmark_v5 A__questionmark_v6))))) (|tptp.'fun_app$z'| (|tptp.'fun_app$aa'| A__questionmark_v0 A__questionmark_v1) A__questionmark_v2))) (forall ((A__questionmark_v0 |tptp.'A_TESL_atomic_list_a_constr_list_list_bool_fun_fun$'|) (A__questionmark_v1 |tptp.'A_TESL_atomic_list$'|) (A__questionmark_v2 |tptp.'A_constr_list_list$'|)) (=> (and (|tptp.'fun_app$x'| (|tptp.'fun_app$ab'| A__questionmark_v0 |tptp.'nil$'|) |tptp.'nil$a'|) (forall ((A__questionmark_v3 |tptp.'A_TESL_atomic$'|) (A__questionmark_v4 |tptp.'A_TESL_atomic_list$'|)) (|tptp.'fun_app$x'| (|tptp.'fun_app$ab'| A__questionmark_v0 (|tptp.'fun_app$e'| (|tptp.'cons$'| A__questionmark_v3) A__questionmark_v4)) |tptp.'nil$a'|)) (forall ((A__questionmark_v3 |tptp.'A_constr_list$'|) (A__questionmark_v4 |tptp.'A_constr_list_list$'|)) (|tptp.'fun_app$x'| (|tptp.'fun_app$ab'| A__questionmark_v0 |tptp.'nil$'|) (|tptp.'cons$b'| A__questionmark_v3 A__questionmark_v4))) (forall ((A__questionmark_v3 |tptp.'A_TESL_atomic$'|) (A__questionmark_v4 |tptp.'A_TESL_atomic_list$'|) (A__questionmark_v5 |tptp.'A_constr_list$'|) (A__questionmark_v6 |tptp.'A_constr_list_list$'|)) (=> (|tptp.'fun_app$x'| (|tptp.'fun_app$ab'| A__questionmark_v0 A__questionmark_v4) A__questionmark_v6) (|tptp.'fun_app$x'| (|tptp.'fun_app$ab'| A__questionmark_v0 (|tptp.'fun_app$e'| (|tptp.'cons$'| A__questionmark_v3) A__questionmark_v4)) (|tptp.'cons$b'| A__questionmark_v5 A__questionmark_v6))))) (|tptp.'fun_app$x'| (|tptp.'fun_app$ab'| A__questionmark_v0 A__questionmark_v1) A__questionmark_v2))) (forall ((A__questionmark_v0 |tptp.'A_TESL_atomic_list_a_TESL_atomic_list_list_bool_fun_fun$'|) (A__questionmark_v1 |tptp.'A_TESL_atomic_list$'|) (A__questionmark_v2 |tptp.'A_TESL_atomic_list_list$'|)) (=> (and (|tptp.'fun_app$z'| (|tptp.'fun_app$ac'| A__questionmark_v0 |tptp.'nil$'|) |tptp.'nil$b'|) (forall ((A__questionmark_v3 |tptp.'A_TESL_atomic$'|) (A__questionmark_v4 |tptp.'A_TESL_atomic_list$'|)) (|tptp.'fun_app$z'| (|tptp.'fun_app$ac'| A__questionmark_v0 (|tptp.'fun_app$e'| (|tptp.'cons$'| A__questionmark_v3) A__questionmark_v4)) |tptp.'nil$b'|)) (forall ((A__questionmark_v3 |tptp.'A_TESL_atomic_list$'|) (A__questionmark_v4 |tptp.'A_TESL_atomic_list_list$'|)) (|tptp.'fun_app$z'| (|tptp.'fun_app$ac'| A__questionmark_v0 |tptp.'nil$'|) (|tptp.'cons$c'| A__questionmark_v3 A__questionmark_v4))) (forall ((A__questionmark_v3 |tptp.'A_TESL_atomic$'|) (A__questionmark_v4 |tptp.'A_TESL_atomic_list$'|) (A__questionmark_v5 |tptp.'A_TESL_atomic_list$'|) (A__questionmark_v6 |tptp.'A_TESL_atomic_list_list$'|)) (=> (|tptp.'fun_app$z'| (|tptp.'fun_app$ac'| A__questionmark_v0 A__questionmark_v4) A__questionmark_v6) (|tptp.'fun_app$z'| (|tptp.'fun_app$ac'| A__questionmark_v0 (|tptp.'fun_app$e'| (|tptp.'cons$'| A__questionmark_v3) A__questionmark_v4)) (|tptp.'cons$c'| A__questionmark_v5 A__questionmark_v6))))) (|tptp.'fun_app$z'| (|tptp.'fun_app$ac'| A__questionmark_v0 A__questionmark_v1) A__questionmark_v2))) (forall ((A__questionmark_v0 |tptp.'Nat_a_TESL_atomic_prod_list$'|) (A__questionmark_v1 |tptp.'Nat_a_TESL_atomic_prod_list_bool_fun$'|)) (=> (and (not (= A__questionmark_v0 |tptp.'nil$f'|)) (forall ((A__questionmark_v2 |tptp.'Nat_a_TESL_atomic_prod$'|)) (|tptp.'fun_app$ad'| A__questionmark_v1 (|tptp.'cons$a'| A__questionmark_v2 |tptp.'nil$f'|))) (forall ((A__questionmark_v2 |tptp.'Nat_a_TESL_atomic_prod$'|) (A__questionmark_v3 |tptp.'Nat_a_TESL_atomic_prod_list$'|)) (=> (and (not (= A__questionmark_v3 |tptp.'nil$f'|)) (|tptp.'fun_app$ad'| A__questionmark_v1 A__questionmark_v3)) (|tptp.'fun_app$ad'| A__questionmark_v1 (|tptp.'cons$a'| A__questionmark_v2 A__questionmark_v3))))) (|tptp.'fun_app$ad'| A__questionmark_v1 A__questionmark_v0))) (forall ((A__questionmark_v0 |tptp.'A_constr_list_list$'|) (A__questionmark_v1 |tptp.'A_constr_list_list_bool_fun$'|)) (=> (and (not (= A__questionmark_v0 |tptp.'nil$a'|)) (forall ((A__questionmark_v2 |tptp.'A_constr_list$'|)) (|tptp.'fun_app$x'| A__questionmark_v1 (|tptp.'cons$b'| A__questionmark_v2 |tptp.'nil$a'|))) (forall ((A__questionmark_v2 |tptp.'A_constr_list$'|) (A__questionmark_v3 |tptp.'A_constr_list_list$'|)) (=> (and (not (= A__questionmark_v3 |tptp.'nil$a'|)) (|tptp.'fun_app$x'| A__questionmark_v1 A__questionmark_v3)) (|tptp.'fun_app$x'| A__questionmark_v1 (|tptp.'cons$b'| A__questionmark_v2 A__questionmark_v3))))) (|tptp.'fun_app$x'| A__questionmark_v1 A__questionmark_v0))) (forall ((A__questionmark_v0 |tptp.'A_TESL_atomic_list_list$'|) (A__questionmark_v1 |tptp.'A_TESL_atomic_list_list_bool_fun$'|)) (=> (and (not (= A__questionmark_v0 |tptp.'nil$b'|)) (forall ((A__questionmark_v2 |tptp.'A_TESL_atomic_list$'|)) (|tptp.'fun_app$z'| A__questionmark_v1 (|tptp.'cons$c'| A__questionmark_v2 |tptp.'nil$b'|))) (forall ((A__questionmark_v2 |tptp.'A_TESL_atomic_list$'|) (A__questionmark_v3 |tptp.'A_TESL_atomic_list_list$'|)) (=> (and (not (= A__questionmark_v3 |tptp.'nil$b'|)) (|tptp.'fun_app$z'| A__questionmark_v1 A__questionmark_v3)) (|tptp.'fun_app$z'| A__questionmark_v1 (|tptp.'cons$c'| A__questionmark_v2 A__questionmark_v3))))) (|tptp.'fun_app$z'| A__questionmark_v1 A__questionmark_v0))) (forall ((A__questionmark_v0 |tptp.'Nat_list$'|) (A__questionmark_v1 |tptp.'Nat_list_bool_fun$'|)) (=> (and (not (= A__questionmark_v0 |tptp.'nil$c'|)) (forall ((A__questionmark_v2 |tptp.'Nat$'|)) (|tptp.'fun_app$r'| A__questionmark_v1 (|tptp.'cons$d'| A__questionmark_v2 |tptp.'nil$c'|))) (forall ((A__questionmark_v2 |tptp.'Nat$'|) (A__questionmark_v3 |tptp.'Nat_list$'|)) (=> (and (not (= A__questionmark_v3 |tptp.'nil$c'|)) (|tptp.'fun_app$r'| A__questionmark_v1 A__questionmark_v3)) (|tptp.'fun_app$r'| A__questionmark_v1 (|tptp.'cons$d'| A__questionmark_v2 A__questionmark_v3))))) (|tptp.'fun_app$r'| A__questionmark_v1 A__questionmark_v0))) (forall ((A__questionmark_v0 |tptp.'A_TESL_atomic_list_nat_fun_list$'|) (A__questionmark_v1 |tptp.'A_TESL_atomic_list_nat_fun_list_bool_fun$'|)) (=> (and (not (= A__questionmark_v0 |tptp.'nil$d'|)) (forall ((A__questionmark_v2 |tptp.'A_TESL_atomic_list_nat_fun$'|)) (|tptp.'fun_app$ae'| A__questionmark_v1 (|tptp.'cons$e'| A__questionmark_v2 |tptp.'nil$d'|))) (forall ((A__questionmark_v2 |tptp.'A_TESL_atomic_list_nat_fun$'|) (A__questionmark_v3 |tptp.'A_TESL_atomic_list_nat_fun_list$'|)) (=> (and (not (= A__questionmark_v3 |tptp.'nil$d'|)) (|tptp.'fun_app$ae'| A__questionmark_v1 A__questionmark_v3)) (|tptp.'fun_app$ae'| A__questionmark_v1 (|tptp.'cons$e'| A__questionmark_v2 A__questionmark_v3))))) (|tptp.'fun_app$ae'| A__questionmark_v1 A__questionmark_v0))) (forall ((A__questionmark_v0 |tptp.'A_TESL_atomic_list$'|) (A__questionmark_v1 |tptp.'A_TESL_atomic_list_bool_fun$'|)) (=> (and (not (= A__questionmark_v0 |tptp.'nil$'|)) (forall ((A__questionmark_v2 |tptp.'A_TESL_atomic$'|)) (|tptp.'fun_app$c'| A__questionmark_v1 (|tptp.'fun_app$e'| (|tptp.'cons$'| A__questionmark_v2) |tptp.'nil$'|))) (forall ((A__questionmark_v2 |tptp.'A_TESL_atomic$'|) (A__questionmark_v3 |tptp.'A_TESL_atomic_list$'|)) (=> (and (not (= A__questionmark_v3 |tptp.'nil$'|)) (|tptp.'fun_app$c'| A__questionmark_v1 A__questionmark_v3)) (|tptp.'fun_app$c'| A__questionmark_v1 (|tptp.'fun_app$e'| (|tptp.'cons$'| A__questionmark_v2) A__questionmark_v3))))) (|tptp.'fun_app$c'| A__questionmark_v1 A__questionmark_v0))) (forall ((A__questionmark_v0 |tptp.'Nat_a_TESL_atomic_prod_nat_a_TESL_atomic_prod_bool_fun_fun_nat_a_TESL_atomic_prod_list_prod$'|)) (=> (and (forall ((A__questionmark_v1 |tptp.'Nat_a_TESL_atomic_prod_nat_a_TESL_atomic_prod_bool_fun_fun$'|)) (=> (= A__questionmark_v0 (|tptp.'pair$h'| A__questionmark_v1 |tptp.'nil$f'|)) false)) (forall ((A__questionmark_v1 |tptp.'Nat_a_TESL_atomic_prod_nat_a_TESL_atomic_prod_bool_fun_fun$'|) (A__questionmark_v2 |tptp.'Nat_a_TESL_atomic_prod$'|)) (=> (= A__questionmark_v0 (|tptp.'pair$h'| A__questionmark_v1 (|tptp.'cons$a'| A__questionmark_v2 |tptp.'nil$f'|))) false)) (forall ((A__questionmark_v1 |tptp.'Nat_a_TESL_atomic_prod_nat_a_TESL_atomic_prod_bool_fun_fun$'|) (A__questionmark_v2 |tptp.'Nat_a_TESL_atomic_prod$'|) (A__questionmark_v3 |tptp.'Nat_a_TESL_atomic_prod$'|) (A__questionmark_v4 |tptp.'Nat_a_TESL_atomic_prod_list$'|)) (=> (= A__questionmark_v0 (|tptp.'pair$h'| A__questionmark_v1 (|tptp.'cons$a'| A__questionmark_v2 (|tptp.'cons$a'| A__questionmark_v3 A__questionmark_v4)))) false))) false)) (forall ((A__questionmark_v0 |tptp.'A_constr_list_a_constr_list_bool_fun_fun_a_constr_list_list_prod$'|)) (=> (and (forall ((A__questionmark_v1 |tptp.'A_constr_list_a_constr_list_bool_fun_fun$'|)) (=> (= A__questionmark_v0 (|tptp.'pair$i'| A__questionmark_v1 |tptp.'nil$a'|)) false)) (forall ((A__questionmark_v1 |tptp.'A_constr_list_a_constr_list_bool_fun_fun$'|) (A__questionmark_v2 |tptp.'A_constr_list$'|)) (=> (= A__questionmark_v0 (|tptp.'pair$i'| A__questionmark_v1 (|tptp.'cons$b'| A__questionmark_v2 |tptp.'nil$a'|))) false)) (forall ((A__questionmark_v1 |tptp.'A_constr_list_a_constr_list_bool_fun_fun$'|) (A__questionmark_v2 |tptp.'A_constr_list$'|) (A__questionmark_v3 |tptp.'A_constr_list$'|) (A__questionmark_v4 |tptp.'A_constr_list_list$'|)) (=> (= A__questionmark_v0 (|tptp.'pair$i'| A__questionmark_v1 (|tptp.'cons$b'| A__questionmark_v2 (|tptp.'cons$b'| A__questionmark_v3 A__questionmark_v4)))) false))) false)) (forall ((A__questionmark_v0 |tptp.'A_TESL_atomic_list_a_TESL_atomic_list_bool_fun_fun_a_TESL_atomic_list_list_prod$'|)) (=> (and (forall ((A__questionmark_v1 |tptp.'A_TESL_atomic_list_a_TESL_atomic_list_bool_fun_fun$'|)) (=> (= A__questionmark_v0 (|tptp.'pair$j'| A__questionmark_v1 |tptp.'nil$b'|)) false)) (forall ((A__questionmark_v1 |tptp.'A_TESL_atomic_list_a_TESL_atomic_list_bool_fun_fun$'|) (A__questionmark_v2 |tptp.'A_TESL_atomic_list$'|)) (=> (= A__questionmark_v0 (|tptp.'pair$j'| A__questionmark_v1 (|tptp.'cons$c'| A__questionmark_v2 |tptp.'nil$b'|))) false)) (forall ((A__questionmark_v1 |tptp.'A_TESL_atomic_list_a_TESL_atomic_list_bool_fun_fun$'|) (A__questionmark_v2 |tptp.'A_TESL_atomic_list$'|) (A__questionmark_v3 |tptp.'A_TESL_atomic_list$'|) (A__questionmark_v4 |tptp.'A_TESL_atomic_list_list$'|)) (=> (= A__questionmark_v0 (|tptp.'pair$j'| A__questionmark_v1 (|tptp.'cons$c'| A__questionmark_v2 (|tptp.'cons$c'| A__questionmark_v3 A__questionmark_v4)))) false))) false)) (forall ((A__questionmark_v0 |tptp.'Nat_nat_bool_fun_fun_nat_list_prod$'|)) (=> (and (forall ((A__questionmark_v1 |tptp.'Nat_nat_bool_fun_fun$'|)) (=> (= A__questionmark_v0 (|tptp.'pair$k'| A__questionmark_v1 |tptp.'nil$c'|)) false)) (forall ((A__questionmark_v1 |tptp.'Nat_nat_bool_fun_fun$'|) (A__questionmark_v2 |tptp.'Nat$'|)) (=> (= A__questionmark_v0 (|tptp.'pair$k'| A__questionmark_v1 (|tptp.'cons$d'| A__questionmark_v2 |tptp.'nil$c'|))) false)) (forall ((A__questionmark_v1 |tptp.'Nat_nat_bool_fun_fun$'|) (A__questionmark_v2 |tptp.'Nat$'|) (A__questionmark_v3 |tptp.'Nat$'|) (A__questionmark_v4 |tptp.'Nat_list$'|)) (=> (= A__questionmark_v0 (|tptp.'pair$k'| A__questionmark_v1 (|tptp.'cons$d'| A__questionmark_v2 (|tptp.'cons$d'| A__questionmark_v3 A__questionmark_v4)))) false))) false)) (forall ((A__questionmark_v0 |tptp.'A_TESL_atomic_list_nat_fun_a_TESL_atomic_list_nat_fun_bool_fun_fun_a_TESL_atomic_list_nat_fun_list_prod$'|)) (=> (and (forall ((A__questionmark_v1 |tptp.'A_TESL_atomic_list_nat_fun_a_TESL_atomic_list_nat_fun_bool_fun_fun$'|)) (=> (= A__questionmark_v0 (|tptp.'pair$l'| A__questionmark_v1 |tptp.'nil$d'|)) false)) (forall ((A__questionmark_v1 |tptp.'A_TESL_atomic_list_nat_fun_a_TESL_atomic_list_nat_fun_bool_fun_fun$'|) (A__questionmark_v2 |tptp.'A_TESL_atomic_list_nat_fun$'|)) (=> (= A__questionmark_v0 (|tptp.'pair$l'| A__questionmark_v1 (|tptp.'cons$e'| A__questionmark_v2 |tptp.'nil$d'|))) false)) (forall ((A__questionmark_v1 |tptp.'A_TESL_atomic_list_nat_fun_a_TESL_atomic_list_nat_fun_bool_fun_fun$'|) (A__questionmark_v2 |tptp.'A_TESL_atomic_list_nat_fun$'|) (A__questionmark_v3 |tptp.'A_TESL_atomic_list_nat_fun$'|) (A__questionmark_v4 |tptp.'A_TESL_atomic_list_nat_fun_list$'|)) (=> (= A__questionmark_v0 (|tptp.'pair$l'| A__questionmark_v1 (|tptp.'cons$e'| A__questionmark_v2 (|tptp.'cons$e'| A__questionmark_v3 A__questionmark_v4)))) false))) false)) (forall ((A__questionmark_v0 |tptp.'A_TESL_atomic_a_TESL_atomic_bool_fun_fun_a_TESL_atomic_list_prod$'|)) (=> (and (forall ((A__questionmark_v1 |tptp.'A_TESL_atomic_a_TESL_atomic_bool_fun_fun$'|)) (=> (= A__questionmark_v0 (|tptp.'pair$g'| A__questionmark_v1 |tptp.'nil$'|)) false)) (forall ((A__questionmark_v1 |tptp.'A_TESL_atomic_a_TESL_atomic_bool_fun_fun$'|) (A__questionmark_v2 |tptp.'A_TESL_atomic$'|)) (=> (= A__questionmark_v0 (|tptp.'pair$g'| A__questionmark_v1 (|tptp.'fun_app$e'| (|tptp.'cons$'| A__questionmark_v2) |tptp.'nil$'|))) false)) (forall ((A__questionmark_v1 |tptp.'A_TESL_atomic_a_TESL_atomic_bool_fun_fun$'|) (A__questionmark_v2 |tptp.'A_TESL_atomic$'|) (A__questionmark_v3 |tptp.'A_TESL_atomic$'|) (A__questionmark_v4 |tptp.'A_TESL_atomic_list$'|)) (=> (= A__questionmark_v0 (|tptp.'pair$g'| A__questionmark_v1 (|tptp.'fun_app$e'| (|tptp.'cons$'| A__questionmark_v2) (|tptp.'fun_app$e'| (|tptp.'cons$'| A__questionmark_v3) A__questionmark_v4)))) false))) false)) (forall ((A__questionmark_v0 |tptp.'Nat_a_TESL_atomic_prod_nat_a_TESL_atomic_prod_bool_fun_fun_nat_a_TESL_atomic_prod_list_prod$'|)) (=> (and (forall ((A__questionmark_v1 |tptp.'Nat_a_TESL_atomic_prod_nat_a_TESL_atomic_prod_bool_fun_fun$'|)) (=> (= A__questionmark_v0 (|tptp.'pair$h'| A__questionmark_v1 |tptp.'nil$f'|)) false)) (forall ((A__questionmark_v1 |tptp.'Nat_a_TESL_atomic_prod_nat_a_TESL_atomic_prod_bool_fun_fun$'|) (A__questionmark_v2 |tptp.'Nat_a_TESL_atomic_prod$'|) (A__questionmark_v3 |tptp.'Nat_a_TESL_atomic_prod_list$'|)) (=> (= A__questionmark_v0 (|tptp.'pair$h'| A__questionmark_v1 (|tptp.'cons$a'| A__questionmark_v2 A__questionmark_v3))) false))) false)) (forall ((A__questionmark_v0 |tptp.'A_constr_list_a_constr_list_bool_fun_fun_a_constr_list_list_prod$'|)) (=> (and (forall ((A__questionmark_v1 |tptp.'A_constr_list_a_constr_list_bool_fun_fun$'|)) (=> (= A__questionmark_v0 (|tptp.'pair$i'| A__questionmark_v1 |tptp.'nil$a'|)) false)) (forall ((A__questionmark_v1 |tptp.'A_constr_list_a_constr_list_bool_fun_fun$'|) (A__questionmark_v2 |tptp.'A_constr_list$'|) (A__questionmark_v3 |tptp.'A_constr_list_list$'|)) (=> (= A__questionmark_v0 (|tptp.'pair$i'| A__questionmark_v1 (|tptp.'cons$b'| A__questionmark_v2 A__questionmark_v3))) false))) false)) (forall ((A__questionmark_v0 |tptp.'A_TESL_atomic_list_a_TESL_atomic_list_bool_fun_fun_a_TESL_atomic_list_list_prod$'|)) (=> (and (forall ((A__questionmark_v1 |tptp.'A_TESL_atomic_list_a_TESL_atomic_list_bool_fun_fun$'|)) (=> (= A__questionmark_v0 (|tptp.'pair$j'| A__questionmark_v1 |tptp.'nil$b'|)) false)) (forall ((A__questionmark_v1 |tptp.'A_TESL_atomic_list_a_TESL_atomic_list_bool_fun_fun$'|) (A__questionmark_v2 |tptp.'A_TESL_atomic_list$'|) (A__questionmark_v3 |tptp.'A_TESL_atomic_list_list$'|)) (=> (= A__questionmark_v0 (|tptp.'pair$j'| A__questionmark_v1 (|tptp.'cons$c'| A__questionmark_v2 A__questionmark_v3))) false))) false)) (forall ((A__questionmark_v0 |tptp.'Nat_nat_bool_fun_fun_nat_list_prod$'|)) (=> (and (forall ((A__questionmark_v1 |tptp.'Nat_nat_bool_fun_fun$'|)) (=> (= A__questionmark_v0 (|tptp.'pair$k'| A__questionmark_v1 |tptp.'nil$c'|)) false)) (forall ((A__questionmark_v1 |tptp.'Nat_nat_bool_fun_fun$'|) (A__questionmark_v2 |tptp.'Nat$'|) (A__questionmark_v3 |tptp.'Nat_list$'|)) (=> (= A__questionmark_v0 (|tptp.'pair$k'| A__questionmark_v1 (|tptp.'cons$d'| A__questionmark_v2 A__questionmark_v3))) false))) false)) (forall ((A__questionmark_v0 |tptp.'A_TESL_atomic_list_nat_fun_a_TESL_atomic_list_nat_fun_bool_fun_fun_a_TESL_atomic_list_nat_fun_list_prod$'|)) (=> (and (forall ((A__questionmark_v1 |tptp.'A_TESL_atomic_list_nat_fun_a_TESL_atomic_list_nat_fun_bool_fun_fun$'|)) (=> (= A__questionmark_v0 (|tptp.'pair$l'| A__questionmark_v1 |tptp.'nil$d'|)) false)) (forall ((A__questionmark_v1 |tptp.'A_TESL_atomic_list_nat_fun_a_TESL_atomic_list_nat_fun_bool_fun_fun$'|) (A__questionmark_v2 |tptp.'A_TESL_atomic_list_nat_fun$'|) (A__questionmark_v3 |tptp.'A_TESL_atomic_list_nat_fun_list$'|)) (=> (= A__questionmark_v0 (|tptp.'pair$l'| A__questionmark_v1 (|tptp.'cons$e'| A__questionmark_v2 A__questionmark_v3))) false))) false)) (forall ((A__questionmark_v0 |tptp.'A_TESL_atomic_a_TESL_atomic_bool_fun_fun_a_TESL_atomic_list_prod$'|)) (=> (and (forall ((A__questionmark_v1 |tptp.'A_TESL_atomic_a_TESL_atomic_bool_fun_fun$'|)) (=> (= A__questionmark_v0 (|tptp.'pair$g'| A__questionmark_v1 |tptp.'nil$'|)) false)) (forall ((A__questionmark_v1 |tptp.'A_TESL_atomic_a_TESL_atomic_bool_fun_fun$'|) (A__questionmark_v2 |tptp.'A_TESL_atomic$'|) (A__questionmark_v3 |tptp.'A_TESL_atomic_list$'|)) (=> (= A__questionmark_v0 (|tptp.'pair$g'| A__questionmark_v1 (|tptp.'fun_app$e'| (|tptp.'cons$'| A__questionmark_v2) A__questionmark_v3))) false))) false)) (forall ((A__questionmark_v0 |tptp.'A_TESL_atomic_list_nat_prod$'|)) (=> (and (forall ((A__questionmark_v1 |tptp.'Nat$'|)) (=> (= A__questionmark_v0 (|tptp.'pair$m'| |tptp.'nil$'| A__questionmark_v1)) false)) (forall ((A__questionmark_v1 |tptp.'A_TESL_atomic$'|) (A__questionmark_v2 |tptp.'A_TESL_atomic_list$'|) (A__questionmark_v3 |tptp.'Nat$'|)) (=> (= A__questionmark_v0 (|tptp.'pair$m'| (|tptp.'fun_app$e'| (|tptp.'cons$'| A__questionmark_v1) A__questionmark_v2) A__questionmark_v3)) false))) false)) (forall ((A__questionmark_v0 |tptp.'Nat_a_TESL_atomic_prod_list_nat_a_TESL_atomic_prod_list_prod$'|)) (=> (and (forall ((A__questionmark_v1 |tptp.'Nat_a_TESL_atomic_prod_list$'|)) (=> (= A__questionmark_v0 (|tptp.'pair$n'| |tptp.'nil$f'| A__questionmark_v1)) false)) (forall ((A__questionmark_v1 |tptp.'Nat_a_TESL_atomic_prod$'|) (A__questionmark_v2 |tptp.'Nat_a_TESL_atomic_prod_list$'|) (A__questionmark_v3 |tptp.'Nat_a_TESL_atomic_prod_list$'|)) (=> (= A__questionmark_v0 (|tptp.'pair$n'| (|tptp.'cons$a'| A__questionmark_v1 A__questionmark_v2) A__questionmark_v3)) false))) false)) (forall ((A__questionmark_v0 |tptp.'A_constr_list_list_a_constr_list_list_prod$'|)) (=> (and (forall ((A__questionmark_v1 |tptp.'A_constr_list_list$'|)) (=> (= A__questionmark_v0 (|tptp.'pair$o'| |tptp.'nil$a'| A__questionmark_v1)) false)) (forall ((A__questionmark_v1 |tptp.'A_constr_list$'|) (A__questionmark_v2 |tptp.'A_constr_list_list$'|) (A__questionmark_v3 |tptp.'A_constr_list_list$'|)) (=> (= A__questionmark_v0 (|tptp.'pair$o'| (|tptp.'cons$b'| A__questionmark_v1 A__questionmark_v2) A__questionmark_v3)) false))) false)) (forall ((A__questionmark_v0 |tptp.'Nat_list_nat_list_prod$'|)) (=> (and (forall ((A__questionmark_v1 |tptp.'Nat_list$'|)) (=> (= A__questionmark_v0 (|tptp.'pair$p'| |tptp.'nil$c'| A__questionmark_v1)) false)) (forall ((A__questionmark_v1 |tptp.'Nat$'|) (A__questionmark_v2 |tptp.'Nat_list$'|) (A__questionmark_v3 |tptp.'Nat_list$'|)) (=> (= A__questionmark_v0 (|tptp.'pair$p'| (|tptp.'cons$d'| A__questionmark_v1 A__questionmark_v2) A__questionmark_v3)) false))) false)) (forall ((A__questionmark_v0 |tptp.'A_TESL_atomic_list_nat_fun_list_a_TESL_atomic_list_nat_fun_list_prod$'|)) (=> (and (forall ((A__questionmark_v1 |tptp.'A_TESL_atomic_list_nat_fun_list$'|)) (=> (= A__questionmark_v0 (|tptp.'pair$q'| |tptp.'nil$d'| A__questionmark_v1)) false)) (forall ((A__questionmark_v1 |tptp.'A_TESL_atomic_list_nat_fun$'|) (A__questionmark_v2 |tptp.'A_TESL_atomic_list_nat_fun_list$'|) (A__questionmark_v3 |tptp.'A_TESL_atomic_list_nat_fun_list$'|)) (=> (= A__questionmark_v0 (|tptp.'pair$q'| (|tptp.'cons$e'| A__questionmark_v1 A__questionmark_v2) A__questionmark_v3)) false))) false)) (forall ((A__questionmark_v0 |tptp.'A_TESL_atomic_list_list_a_TESL_atomic_list_list_prod$'|)) (=> (and (forall ((A__questionmark_v1 |tptp.'A_TESL_atomic_list_list$'|)) (=> (= A__questionmark_v0 (|tptp.'pair$c'| |tptp.'nil$b'| A__questionmark_v1)) false)) (forall ((A__questionmark_v1 |tptp.'A_TESL_atomic_list$'|) (A__questionmark_v2 |tptp.'A_TESL_atomic_list_list$'|) (A__questionmark_v3 |tptp.'A_TESL_atomic_list_list$'|)) (=> (= A__questionmark_v0 (|tptp.'pair$c'| (|tptp.'cons$c'| A__questionmark_v1 A__questionmark_v2) A__questionmark_v3)) false))) false)) (forall ((A__questionmark_v0 |tptp.'A_TESL_atomic_list_a_TESL_atomic_list_prod$'|)) (=> (and (forall ((A__questionmark_v1 |tptp.'A_TESL_atomic_list$'|)) (=> (= A__questionmark_v0 (|tptp.'pair$b'| |tptp.'nil$'| A__questionmark_v1)) false)) (forall ((A__questionmark_v1 |tptp.'A_TESL_atomic$'|) (A__questionmark_v2 |tptp.'A_TESL_atomic_list$'|) (A__questionmark_v3 |tptp.'A_TESL_atomic_list$'|)) (=> (= A__questionmark_v0 (|tptp.'pair$b'| (|tptp.'fun_app$e'| (|tptp.'cons$'| A__questionmark_v1) A__questionmark_v2) A__questionmark_v3)) false))) false)) (forall ((A__questionmark_v0 |tptp.'Nat_a_TESL_atomic_prod_list_nat_a_TESL_atomic_prod_list_prod$'|)) (=> (and (forall ((A__questionmark_v1 |tptp.'Nat_a_TESL_atomic_prod_list$'|)) (=> (= A__questionmark_v0 (|tptp.'pair$n'| |tptp.'nil$f'| A__questionmark_v1)) false)) (forall ((A__questionmark_v1 |tptp.'Nat_a_TESL_atomic_prod_list$'|)) (=> (= A__questionmark_v0 (|tptp.'pair$n'| A__questionmark_v1 |tptp.'nil$f'|)) false)) (forall ((A__questionmark_v1 |tptp.'Nat_a_TESL_atomic_prod$'|) (A__questionmark_v2 |tptp.'Nat_a_TESL_atomic_prod_list$'|) (A__questionmark_v3 |tptp.'Nat_a_TESL_atomic_prod$'|) (A__questionmark_v4 |tptp.'Nat_a_TESL_atomic_prod_list$'|)) (=> (= A__questionmark_v0 (|tptp.'pair$n'| (|tptp.'cons$a'| A__questionmark_v1 A__questionmark_v2) (|tptp.'cons$a'| A__questionmark_v3 A__questionmark_v4))) false))) false)) (forall ((A__questionmark_v0 |tptp.'A_constr_list_list_a_constr_list_list_prod$'|)) (=> (and (forall ((A__questionmark_v1 |tptp.'A_constr_list_list$'|)) (=> (= A__questionmark_v0 (|tptp.'pair$o'| |tptp.'nil$a'| A__questionmark_v1)) false)) (forall ((A__questionmark_v1 |tptp.'A_constr_list_list$'|)) (=> (= A__questionmark_v0 (|tptp.'pair$o'| A__questionmark_v1 |tptp.'nil$a'|)) false)) (forall ((A__questionmark_v1 |tptp.'A_constr_list$'|) (A__questionmark_v2 |tptp.'A_constr_list_list$'|) (A__questionmark_v3 |tptp.'A_constr_list$'|) (A__questionmark_v4 |tptp.'A_constr_list_list$'|)) (=> (= A__questionmark_v0 (|tptp.'pair$o'| (|tptp.'cons$b'| A__questionmark_v1 A__questionmark_v2) (|tptp.'cons$b'| A__questionmark_v3 A__questionmark_v4))) false))) false)) (forall ((A__questionmark_v0 |tptp.'Nat_list_nat_list_prod$'|)) (=> (and (forall ((A__questionmark_v1 |tptp.'Nat_list$'|)) (=> (= A__questionmark_v0 (|tptp.'pair$p'| |tptp.'nil$c'| A__questionmark_v1)) false)) (forall ((A__questionmark_v1 |tptp.'Nat_list$'|)) (=> (= A__questionmark_v0 (|tptp.'pair$p'| A__questionmark_v1 |tptp.'nil$c'|)) false)) (forall ((A__questionmark_v1 |tptp.'Nat$'|) (A__questionmark_v2 |tptp.'Nat_list$'|) (A__questionmark_v3 |tptp.'Nat$'|) (A__questionmark_v4 |tptp.'Nat_list$'|)) (=> (= A__questionmark_v0 (|tptp.'pair$p'| (|tptp.'cons$d'| A__questionmark_v1 A__questionmark_v2) (|tptp.'cons$d'| A__questionmark_v3 A__questionmark_v4))) false))) false)) (forall ((A__questionmark_v0 |tptp.'A_TESL_atomic_list_nat_fun_list_a_TESL_atomic_list_nat_fun_list_prod$'|)) (=> (and (forall ((A__questionmark_v1 |tptp.'A_TESL_atomic_list_nat_fun_list$'|)) (=> (= A__questionmark_v0 (|tptp.'pair$q'| |tptp.'nil$d'| A__questionmark_v1)) false)) (forall ((A__questionmark_v1 |tptp.'A_TESL_atomic_list_nat_fun_list$'|)) (=> (= A__questionmark_v0 (|tptp.'pair$q'| A__questionmark_v1 |tptp.'nil$d'|)) false)) (forall ((A__questionmark_v1 |tptp.'A_TESL_atomic_list_nat_fun$'|) (A__questionmark_v2 |tptp.'A_TESL_atomic_list_nat_fun_list$'|) (A__questionmark_v3 |tptp.'A_TESL_atomic_list_nat_fun$'|) (A__questionmark_v4 |tptp.'A_TESL_atomic_list_nat_fun_list$'|)) (=> (= A__questionmark_v0 (|tptp.'pair$q'| (|tptp.'cons$e'| A__questionmark_v1 A__questionmark_v2) (|tptp.'cons$e'| A__questionmark_v3 A__questionmark_v4))) false))) false)) (forall ((A__questionmark_v0 |tptp.'A_TESL_atomic_list_list_a_TESL_atomic_list_list_prod$'|)) (=> (and (forall ((A__questionmark_v1 |tptp.'A_TESL_atomic_list_list$'|)) (=> (= A__questionmark_v0 (|tptp.'pair$c'| |tptp.'nil$b'| A__questionmark_v1)) false)) (forall ((A__questionmark_v1 |tptp.'A_TESL_atomic_list_list$'|)) (=> (= A__questionmark_v0 (|tptp.'pair$c'| A__questionmark_v1 |tptp.'nil$b'|)) false)) (forall ((A__questionmark_v1 |tptp.'A_TESL_atomic_list$'|) (A__questionmark_v2 |tptp.'A_TESL_atomic_list_list$'|) (A__questionmark_v3 |tptp.'A_TESL_atomic_list$'|) (A__questionmark_v4 |tptp.'A_TESL_atomic_list_list$'|)) (=> (= A__questionmark_v0 (|tptp.'pair$c'| (|tptp.'cons$c'| A__questionmark_v1 A__questionmark_v2) (|tptp.'cons$c'| A__questionmark_v3 A__questionmark_v4))) false))) false)) (forall ((A__questionmark_v0 |tptp.'A_TESL_atomic_list_a_TESL_atomic_list_prod$'|)) (=> (and (forall ((A__questionmark_v1 |tptp.'A_TESL_atomic_list$'|)) (=> (= A__questionmark_v0 (|tptp.'pair$b'| |tptp.'nil$'| A__questionmark_v1)) false)) (forall ((A__questionmark_v1 |tptp.'A_TESL_atomic_list$'|)) (=> (= A__questionmark_v0 (|tptp.'pair$b'| A__questionmark_v1 |tptp.'nil$'|)) false)) (forall ((A__questionmark_v1 |tptp.'A_TESL_atomic$'|) (A__questionmark_v2 |tptp.'A_TESL_atomic_list$'|) (A__questionmark_v3 |tptp.'A_TESL_atomic$'|) (A__questionmark_v4 |tptp.'A_TESL_atomic_list$'|)) (=> (= A__questionmark_v0 (|tptp.'pair$b'| (|tptp.'fun_app$e'| (|tptp.'cons$'| A__questionmark_v1) A__questionmark_v2) (|tptp.'fun_app$e'| (|tptp.'cons$'| A__questionmark_v3) A__questionmark_v4))) false))) false)) (forall ((A__questionmark_v0 |tptp.'A_TESL_atomic_list_a_TESL_atomic_list_fun_a_TESL_atomic_list_list_a_TESL_atomic_list_list_prod_prod$'|)) (=> (and (forall ((A__questionmark_v1 |tptp.'A_TESL_atomic_list_a_TESL_atomic_list_fun$'|) (A__questionmark_v2 |tptp.'A_TESL_atomic_list_list$'|)) (=> (= A__questionmark_v0 (|tptp.'pair$r'| A__questionmark_v1 (|tptp.'pair$c'| |tptp.'nil$b'| A__questionmark_v2))) false)) (forall ((A__questionmark_v1 |tptp.'A_TESL_atomic_list_a_TESL_atomic_list_fun$'|) (A__questionmark_v2 |tptp.'A_TESL_atomic_list$'|) (A__questionmark_v3 |tptp.'A_TESL_atomic_list_list$'|) (A__questionmark_v4 |tptp.'A_TESL_atomic_list_list$'|)) (=> (= A__questionmark_v0 (|tptp.'pair$r'| A__questionmark_v1 (|tptp.'pair$c'| (|tptp.'cons$c'| A__questionmark_v2 A__questionmark_v3) A__questionmark_v4))) false))) false)) (forall ((A__questionmark_v0 |tptp.'Nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_fun_nat_list_a_TESL_atomic_list_a_TESL_atomic_list_prod_list_prod_prod$'|)) (=> (and (forall ((A__questionmark_v1 |tptp.'Nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_fun$'|) (A__questionmark_v2 |tptp.'A_TESL_atomic_list_a_TESL_atomic_list_prod_list$'|)) (=> (= A__questionmark_v0 (|tptp.'pair$s'| A__questionmark_v1 (|tptp.'pair$d'| |tptp.'nil$c'| A__questionmark_v2))) false)) (forall ((A__questionmark_v1 |tptp.'Nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_fun$'|) (A__questionmark_v2 |tptp.'Nat$'|) (A__questionmark_v3 |tptp.'Nat_list$'|) (A__questionmark_v4 |tptp.'A_TESL_atomic_list_a_TESL_atomic_list_prod_list$'|)) (=> (= A__questionmark_v0 (|tptp.'pair$s'| A__questionmark_v1 (|tptp.'pair$d'| (|tptp.'cons$d'| A__questionmark_v2 A__questionmark_v3) A__questionmark_v4))) false))) false)) (forall ((A__questionmark_v0 |tptp.'A_TESL_atomic_a_TESL_atomic_fun_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod$'|)) (=> (and (forall ((A__questionmark_v1 |tptp.'A_TESL_atomic_a_TESL_atomic_fun$'|) (A__questionmark_v2 |tptp.'A_TESL_atomic_list$'|)) (=> (= A__questionmark_v0 (|tptp.'pair$f'| A__questionmark_v1 (|tptp.'pair$b'| |tptp.'nil$'| A__questionmark_v2))) false)) (forall ((A__questionmark_v1 |tptp.'A_TESL_atomic_a_TESL_atomic_fun$'|) (A__questionmark_v2 |tptp.'A_TESL_atomic$'|) (A__questionmark_v3 |tptp.'A_TESL_atomic_list$'|) (A__questionmark_v4 |tptp.'A_TESL_atomic_list$'|)) (=> (= A__questionmark_v0 (|tptp.'pair$f'| A__questionmark_v1 (|tptp.'pair$b'| (|tptp.'fun_app$e'| (|tptp.'cons$'| A__questionmark_v2) A__questionmark_v3) A__questionmark_v4))) false))) false)) (forall ((A__questionmark_v0 |tptp.'Nat$'|) (A__questionmark_v1 |tptp.'Nat$'|)) (let ((_let_1 (|tptp.'fun_app$h'| |tptp.'of_nat$'| A__questionmark_v1))) (let ((_let_2 (|tptp.'fun_app$h'| |tptp.'of_nat$'| A__questionmark_v0))) (=> (= (+ _let_2 1) (+ _let_1 1)) (= _let_2 _let_1))))) (forall ((A__questionmark_v0 |tptp.'Nat$'|)) (let ((_let_1 (|tptp.'fun_app$h'| |tptp.'of_nat$'| A__questionmark_v0))) (not (= _let_1 (+ _let_1 1))))) (forall ((A__questionmark_v0 |tptp.'Nat_a_TESL_atomic_prod$'|) (A__questionmark_v1 |tptp.'Nat_a_TESL_atomic_prod_list$'|)) (not (= (|tptp.'cons$a'| A__questionmark_v0 A__questionmark_v1) A__questionmark_v1))) (forall ((A__questionmark_v0 |tptp.'A_constr_list$'|) (A__questionmark_v1 |tptp.'A_constr_list_list$'|)) (not (= (|tptp.'cons$b'| A__questionmark_v0 A__questionmark_v1) A__questionmark_v1))) (forall ((A__questionmark_v0 |tptp.'A_TESL_atomic_list$'|) (A__questionmark_v1 |tptp.'A_TESL_atomic_list_list$'|)) (not (= (|tptp.'cons$c'| A__questionmark_v0 A__questionmark_v1) A__questionmark_v1))) (forall ((A__questionmark_v0 |tptp.'Nat$'|) (A__questionmark_v1 |tptp.'Nat_list$'|)) (not (= (|tptp.'cons$d'| A__questionmark_v0 A__questionmark_v1) A__questionmark_v1))) (forall ((A__questionmark_v0 |tptp.'A_TESL_atomic_list_nat_fun$'|) (A__questionmark_v1 |tptp.'A_TESL_atomic_list_nat_fun_list$'|)) (not (= (|tptp.'cons$e'| A__questionmark_v0 A__questionmark_v1) A__questionmark_v1))) (forall ((A__questionmark_v0 |tptp.'A_TESL_atomic$'|) (A__questionmark_v1 |tptp.'A_TESL_atomic_list$'|)) (not (= (|tptp.'fun_app$e'| (|tptp.'cons$'| A__questionmark_v0) A__questionmark_v1) A__questionmark_v1))) (forall ((A__questionmark_v0 |tptp.'A_TESL_atomic_list$'|)) (=> (and (=> (= A__questionmark_v0 |tptp.'nil$'|) false) (forall ((A__questionmark_v1 |tptp.'A_TESL_atomic$'|) (A__questionmark_v2 |tptp.'A_TESL_atomic_list$'|)) (=> (= A__questionmark_v0 (|tptp.'fun_app$e'| (|tptp.'cons$'| A__questionmark_v1) A__questionmark_v2)) false))) false)) (forall ((A__questionmark_v0 |tptp.'A_constr_list_nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod_prod$'|) (A__questionmark_v1 |tptp.'A_constr_list_nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod_prod$'|)) (=> (and (|tptp.'fun_app$i'| (|tptp.'operational_semantics_intro$'| A__questionmark_v0) A__questionmark_v1) (forall ((A__questionmark_v2 |tptp.'A_constr_list$'|) (A__questionmark_v3 |tptp.'Nat$'|) (A__questionmark_v4 |tptp.'A_TESL_atomic_list$'|)) (=> (and (= A__questionmark_v0 (|tptp.'pair$'| A__questionmark_v2 (|tptp.'pair$a'| A__questionmark_v3 (|tptp.'pair$b'| |tptp.'nil$'| A__questionmark_v4)))) (= A__questionmark_v1 (|tptp.'pair$'| A__questionmark_v2 (|tptp.'pair$a'| (|tptp.'nat$'| (+ (|tptp.'fun_app$h'| |tptp.'of_nat$'| A__questionmark_v3) 1)) (|tptp.'pair$b'| A__questionmark_v4 |tptp.'nil$'|))))) false))) false)) (forall ((A__questionmark_v0 |tptp.'A_constr_list_nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod_prod$'|) (A__questionmark_v1 |tptp.'A_constr_list_nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod_prod$'|)) (= (|tptp.'fun_app$i'| (|tptp.'operational_semantics_intro$'| A__questionmark_v0) A__questionmark_v1) (exists ((A__questionmark_v2 |tptp.'A_constr_list$'|) (A__questionmark_v3 |tptp.'Nat$'|) (A__questionmark_v4 |tptp.'A_TESL_atomic_list$'|)) (and (= A__questionmark_v0 (|tptp.'pair$'| A__questionmark_v2 (|tptp.'pair$a'| A__questionmark_v3 (|tptp.'pair$b'| |tptp.'nil$'| A__questionmark_v4)))) (= A__questionmark_v1 (|tptp.'pair$'| A__questionmark_v2 (|tptp.'pair$a'| (|tptp.'nat$'| (+ (|tptp.'fun_app$h'| |tptp.'of_nat$'| A__questionmark_v3) 1)) (|tptp.'pair$b'| A__questionmark_v4 |tptp.'nil$'|)))))))) (forall ((A__questionmark_v0 |tptp.'A_constr_list$'|) (A__questionmark_v1 |tptp.'Nat$'|) (A__questionmark_v2 |tptp.'A_TESL_atomic_list$'|)) (|tptp.'fun_app$i'| (|tptp.'operational_semantics_intro$'| (|tptp.'pair$'| A__questionmark_v0 (|tptp.'pair$a'| A__questionmark_v1 (|tptp.'pair$b'| |tptp.'nil$'| A__questionmark_v2)))) (|tptp.'pair$'| A__questionmark_v0 (|tptp.'pair$a'| (|tptp.'nat$'| (+ (|tptp.'fun_app$h'| |tptp.'of_nat$'| A__questionmark_v1) 1)) (|tptp.'pair$b'| A__questionmark_v2 |tptp.'nil$'|))))) (forall ((A__questionmark_v0 |tptp.'Nat$'|) (A__questionmark_v1 |tptp.'Nat_a_TESL_atomic_prod$'|) (A__questionmark_v2 |tptp.'Nat_a_TESL_atomic_prod_list$'|)) (= (|tptp.'enumerate$'| A__questionmark_v0 (|tptp.'cons$a'| A__questionmark_v1 A__questionmark_v2)) (|tptp.'cons$l'| (|tptp.'pair$t'| A__questionmark_v0 A__questionmark_v1) (|tptp.'enumerate$'| (|tptp.'nat$'| (+ (|tptp.'fun_app$h'| |tptp.'of_nat$'| A__questionmark_v0) 1)) A__questionmark_v2)))) (forall ((A__questionmark_v0 |tptp.'Nat$'|) (A__questionmark_v1 |tptp.'A_constr_list$'|) (A__questionmark_v2 |tptp.'A_constr_list_list$'|)) (= (|tptp.'enumerate$a'| A__questionmark_v0 (|tptp.'cons$b'| A__questionmark_v1 A__questionmark_v2)) (|tptp.'cons$m'| (|tptp.'pair$u'| A__questionmark_v0 A__questionmark_v1) (|tptp.'enumerate$a'| (|tptp.'nat$'| (+ (|tptp.'fun_app$h'| |tptp.'of_nat$'| A__questionmark_v0) 1)) A__questionmark_v2)))) (forall ((A__questionmark_v0 |tptp.'Nat$'|) (A__questionmark_v1 |tptp.'A_TESL_atomic_list$'|) (A__questionmark_v2 |tptp.'A_TESL_atomic_list_list$'|)) (= (|tptp.'enumerate$b'| A__questionmark_v0 (|tptp.'cons$c'| A__questionmark_v1 A__questionmark_v2)) (|tptp.'cons$n'| (|tptp.'pair$v'| A__questionmark_v0 A__questionmark_v1) (|tptp.'enumerate$b'| (|tptp.'nat$'| (+ (|tptp.'fun_app$h'| |tptp.'of_nat$'| A__questionmark_v0) 1)) A__questionmark_v2)))) (forall ((A__questionmark_v0 |tptp.'Nat$'|) (A__questionmark_v1 |tptp.'Nat$'|) (A__questionmark_v2 |tptp.'Nat_list$'|)) (= (|tptp.'enumerate$c'| A__questionmark_v0 (|tptp.'cons$d'| A__questionmark_v1 A__questionmark_v2)) (|tptp.'cons$o'| (|tptp.'pair$w'| A__questionmark_v0 A__questionmark_v1) (|tptp.'enumerate$c'| (|tptp.'nat$'| (+ (|tptp.'fun_app$h'| |tptp.'of_nat$'| A__questionmark_v0) 1)) A__questionmark_v2)))) (forall ((A__questionmark_v0 |tptp.'Nat$'|) (A__questionmark_v1 |tptp.'A_TESL_atomic_list_nat_fun$'|) (A__questionmark_v2 |tptp.'A_TESL_atomic_list_nat_fun_list$'|)) (= (|tptp.'enumerate$d'| A__questionmark_v0 (|tptp.'cons$e'| A__questionmark_v1 A__questionmark_v2)) (|tptp.'cons$p'| (|tptp.'pair$x'| A__questionmark_v0 A__questionmark_v1) (|tptp.'enumerate$d'| (|tptp.'nat$'| (+ (|tptp.'fun_app$h'| |tptp.'of_nat$'| A__questionmark_v0) 1)) A__questionmark_v2)))) (forall ((A__questionmark_v0 |tptp.'Nat$'|) (A__questionmark_v1 |tptp.'A_TESL_atomic$'|) (A__questionmark_v2 |tptp.'A_TESL_atomic_list$'|)) (= (|tptp.'enumerate$e'| A__questionmark_v0 (|tptp.'fun_app$e'| (|tptp.'cons$'| A__questionmark_v1) A__questionmark_v2)) (|tptp.'cons$a'| (|tptp.'pair$e'| A__questionmark_v0 A__questionmark_v1) (|tptp.'enumerate$e'| (|tptp.'nat$'| (+ (|tptp.'fun_app$h'| |tptp.'of_nat$'| A__questionmark_v0) 1)) A__questionmark_v2)))) (forall ((A__questionmark_v0 |tptp.'Nat$'|) (A__questionmark_v1 |tptp.'A_TESL_atomic_list_a_TESL_atomic_list_prod$'|) (A__questionmark_v2 |tptp.'A_TESL_atomic_list_a_TESL_atomic_list_prod_list$'|)) (= (|tptp.'enumerate$f'| A__questionmark_v0 (|tptp.'cons$q'| A__questionmark_v1 A__questionmark_v2)) (|tptp.'cons$r'| (|tptp.'pair$a'| A__questionmark_v0 A__questionmark_v1) (|tptp.'enumerate$f'| (|tptp.'nat$'| (+ (|tptp.'fun_app$h'| |tptp.'of_nat$'| A__questionmark_v0) 1)) A__questionmark_v2)))) (forall ((A__questionmark_v0 |tptp.'Nat$'|) (A__questionmark_v1 |tptp.'Nat_a_TESL_atomic_prod$'|) (A__questionmark_v2 |tptp.'Nat_a_TESL_atomic_prod_list$'|)) (= (|tptp.'fun_app$h'| |tptp.'of_nat$'| (|tptp.'gen_length$'| A__questionmark_v0 (|tptp.'cons$a'| A__questionmark_v1 A__questionmark_v2))) (|tptp.'fun_app$h'| |tptp.'of_nat$'| (|tptp.'gen_length$'| (|tptp.'nat$'| (+ (|tptp.'fun_app$h'| |tptp.'of_nat$'| A__questionmark_v0) 1)) A__questionmark_v2)))) (forall ((A__questionmark_v0 |tptp.'Nat$'|) (A__questionmark_v1 |tptp.'A_constr_list$'|) (A__questionmark_v2 |tptp.'A_constr_list_list$'|)) (= (|tptp.'fun_app$h'| |tptp.'of_nat$'| (|tptp.'gen_length$a'| A__questionmark_v0 (|tptp.'cons$b'| A__questionmark_v1 A__questionmark_v2))) (|tptp.'fun_app$h'| |tptp.'of_nat$'| (|tptp.'gen_length$a'| (|tptp.'nat$'| (+ (|tptp.'fun_app$h'| |tptp.'of_nat$'| A__questionmark_v0) 1)) A__questionmark_v2)))) (forall ((A__questionmark_v0 |tptp.'Nat$'|) (A__questionmark_v1 |tptp.'A_TESL_atomic_list$'|) (A__questionmark_v2 |tptp.'A_TESL_atomic_list_list$'|)) (= (|tptp.'fun_app$h'| |tptp.'of_nat$'| (|tptp.'gen_length$b'| A__questionmark_v0 (|tptp.'cons$c'| A__questionmark_v1 A__questionmark_v2))) (|tptp.'fun_app$h'| |tptp.'of_nat$'| (|tptp.'gen_length$b'| (|tptp.'nat$'| (+ (|tptp.'fun_app$h'| |tptp.'of_nat$'| A__questionmark_v0) 1)) A__questionmark_v2)))) (forall ((A__questionmark_v0 |tptp.'Nat$'|) (A__questionmark_v1 |tptp.'Nat$'|) (A__questionmark_v2 |tptp.'Nat_list$'|)) (= (|tptp.'fun_app$h'| |tptp.'of_nat$'| (|tptp.'gen_length$c'| A__questionmark_v0 (|tptp.'cons$d'| A__questionmark_v1 A__questionmark_v2))) (|tptp.'fun_app$h'| |tptp.'of_nat$'| (|tptp.'gen_length$c'| (|tptp.'nat$'| (+ (|tptp.'fun_app$h'| |tptp.'of_nat$'| A__questionmark_v0) 1)) A__questionmark_v2)))) (forall ((A__questionmark_v0 |tptp.'Nat$'|) (A__questionmark_v1 |tptp.'A_TESL_atomic_list_nat_fun$'|) (A__questionmark_v2 |tptp.'A_TESL_atomic_list_nat_fun_list$'|)) (= (|tptp.'fun_app$h'| |tptp.'of_nat$'| (|tptp.'gen_length$d'| A__questionmark_v0 (|tptp.'cons$e'| A__questionmark_v1 A__questionmark_v2))) (|tptp.'fun_app$h'| |tptp.'of_nat$'| (|tptp.'gen_length$d'| (|tptp.'nat$'| (+ (|tptp.'fun_app$h'| |tptp.'of_nat$'| A__questionmark_v0) 1)) A__questionmark_v2)))) (forall ((A__questionmark_v0 |tptp.'Nat$'|) (A__questionmark_v1 |tptp.'A_TESL_atomic$'|) (A__questionmark_v2 |tptp.'A_TESL_atomic_list$'|)) (= (|tptp.'fun_app$h'| |tptp.'of_nat$'| (|tptp.'fun_app$af'| (|tptp.'gen_length$e'| A__questionmark_v0) (|tptp.'fun_app$e'| (|tptp.'cons$'| A__questionmark_v1) A__questionmark_v2))) (|tptp.'fun_app$h'| |tptp.'of_nat$'| (|tptp.'fun_app$af'| (|tptp.'gen_length$e'| (|tptp.'nat$'| (+ (|tptp.'fun_app$h'| |tptp.'of_nat$'| A__questionmark_v0) 1))) A__questionmark_v2)))) (forall ((A__questionmark_v0 |tptp.'A_TESL_atomic_list_nat_fun$'|)) (= (|tptp.'fun_app$ag'| (|tptp.'insert$'| A__questionmark_v0) |tptp.'nil$d'|) (|tptp.'cons$e'| A__questionmark_v0 |tptp.'nil$d'|))) (forall ((A__questionmark_v0 |tptp.'A_TESL_atomic$'|)) (= (|tptp.'fun_app$e'| (|tptp.'insert$a'| A__questionmark_v0) |tptp.'nil$'|) (|tptp.'fun_app$e'| (|tptp.'cons$'| A__questionmark_v0) |tptp.'nil$'|))) (forall ((A__questionmark_v0 |tptp.'A_constr_list$'|) (A__questionmark_v1 |tptp.'Nat$'|) (A__questionmark_v2 |tptp.'A_TESL_atomic_list$'|) (A__questionmark_v3 |tptp.'A_TESL_atomic_list$'|) (A__questionmark_v4 |tptp.'A_constr_list$'|) (A__questionmark_v5 |tptp.'Nat$'|) (A__questionmark_v6 |tptp.'A_TESL_atomic_list$'|) (A__questionmark_v7 |tptp.'A_TESL_atomic_list$'|)) (let ((_let_1 (|tptp.'pair$'| A__questionmark_v4 (|tptp.'pair$a'| A__questionmark_v5 (|tptp.'pair$b'| A__questionmark_v6 A__questionmark_v7))))) (let ((_let_2 (|tptp.'pair$'| A__questionmark_v0 (|tptp.'pair$a'| A__questionmark_v1 (|tptp.'pair$b'| A__questionmark_v2 A__questionmark_v3))))) (=> (|tptp.'fun_app$i'| (|tptp.'operational_semantics_intro$'| _let_2) _let_1) (|tptp.'fun_app$i'| (|tptp.'operational_semantics_step$'| _let_2) _let_1))))) (forall ((A__questionmark_v0 |tptp.'A_constr_list_list$'|) (A__questionmark_v1 |tptp.'Nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod_list$'|) (A__questionmark_v2 |tptp.'A_constr_list_nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod_prod_set$'|)) (= (|tptp.'member$e'| (|tptp.'pair$y'| A__questionmark_v0 A__questionmark_v1) (|tptp.'listrel$'| A__questionmark_v2)) (or (and (= A__questionmark_v0 |tptp.'nil$a'|) (= A__questionmark_v1 |tptp.'nil$l'|)) (exists ((A__questionmark_v3 |tptp.'A_constr_list$'|) (A__questionmark_v4 |tptp.'Nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod$'|) (A__questionmark_v5 |tptp.'A_constr_list_list$'|) (A__questionmark_v6 |tptp.'Nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod_list$'|)) (and (= A__questionmark_v0 (|tptp.'cons$b'| A__questionmark_v3 A__questionmark_v5)) (= A__questionmark_v1 (|tptp.'cons$r'| A__questionmark_v4 A__questionmark_v6)) (|tptp.'member$f'| (|tptp.'pair$'| A__questionmark_v3 A__questionmark_v4) A__questionmark_v2) (|tptp.'member$e'| (|tptp.'pair$y'| A__questionmark_v5 A__questionmark_v6) (|tptp.'listrel$'| A__questionmark_v2))))))) (forall ((A__questionmark_v0 |tptp.'Nat_list$'|) (A__questionmark_v1 |tptp.'A_TESL_atomic_list_a_TESL_atomic_list_prod_list$'|) (A__questionmark_v2 |tptp.'Nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod_set$'|)) (= (|tptp.'member$'| (|tptp.'pair$d'| A__questionmark_v0 A__questionmark_v1) (|tptp.'listrel$a'| A__questionmark_v2)) (or (and (= A__questionmark_v0 |tptp.'nil$c'|) (= A__questionmark_v1 |tptp.'nil$m'|)) (exists ((A__questionmark_v3 |tptp.'Nat$'|) (A__questionmark_v4 |tptp.'A_TESL_atomic_list_a_TESL_atomic_list_prod$'|) (A__questionmark_v5 |tptp.'Nat_list$'|) (A__questionmark_v6 |tptp.'A_TESL_atomic_list_a_TESL_atomic_list_prod_list$'|)) (and (= A__questionmark_v0 (|tptp.'cons$d'| A__questionmark_v3 A__questionmark_v5)) (= A__questionmark_v1 (|tptp.'cons$q'| A__questionmark_v4 A__questionmark_v6)) (|tptp.'member$a'| (|tptp.'pair$a'| A__questionmark_v3 A__questionmark_v4) A__questionmark_v2) (|tptp.'member$'| (|tptp.'pair$d'| A__questionmark_v5 A__questionmark_v6) (|tptp.'listrel$a'| A__questionmark_v2))))))) (forall ((A__questionmark_v0 |tptp.'A_TESL_atomic_list_list$'|) (A__questionmark_v1 |tptp.'A_TESL_atomic_list_list$'|) (A__questionmark_v2 |tptp.'A_TESL_atomic_list_a_TESL_atomic_list_prod_set$'|)) (= (|tptp.'member$g'| (|tptp.'pair$c'| A__questionmark_v0 A__questionmark_v1) (|tptp.'listrel$b'| A__questionmark_v2)) (or (and (= A__questionmark_v0 |tptp.'nil$b'|) (= A__questionmark_v1 |tptp.'nil$b'|)) (exists ((A__questionmark_v3 |tptp.'A_TESL_atomic_list$'|) (A__questionmark_v4 |tptp.'A_TESL_atomic_list$'|) (A__questionmark_v5 |tptp.'A_TESL_atomic_list_list$'|) (A__questionmark_v6 |tptp.'A_TESL_atomic_list_list$'|)) (and (= A__questionmark_v0 (|tptp.'cons$c'| A__questionmark_v3 A__questionmark_v5)) (= A__questionmark_v1 (|tptp.'cons$c'| A__questionmark_v4 A__questionmark_v6)) (|tptp.'member$h'| (|tptp.'pair$b'| A__questionmark_v3 A__questionmark_v4) A__questionmark_v2) (|tptp.'member$g'| (|tptp.'pair$c'| A__questionmark_v5 A__questionmark_v6) (|tptp.'listrel$b'| A__questionmark_v2))))))) (forall ((A__questionmark_v0 |tptp.'A_TESL_atomic_list$'|) (A__questionmark_v1 |tptp.'A_TESL_atomic_list$'|) (A__questionmark_v2 |tptp.'A_TESL_atomic_a_TESL_atomic_prod_set$'|)) (= (|tptp.'member$h'| (|tptp.'pair$b'| A__questionmark_v0 A__questionmark_v1) (|tptp.'listrel$c'| A__questionmark_v2)) (or (and (= A__questionmark_v0 |tptp.'nil$'|) (= A__questionmark_v1 |tptp.'nil$'|)) (exists ((A__questionmark_v3 |tptp.'A_TESL_atomic$'|) (A__questionmark_v4 |tptp.'A_TESL_atomic$'|) (A__questionmark_v5 |tptp.'A_TESL_atomic_list$'|) (A__questionmark_v6 |tptp.'A_TESL_atomic_list$'|)) (and (= A__questionmark_v0 (|tptp.'fun_app$e'| (|tptp.'cons$'| A__questionmark_v3) A__questionmark_v5)) (= A__questionmark_v1 (|tptp.'fun_app$e'| (|tptp.'cons$'| A__questionmark_v4) A__questionmark_v6)) (|tptp.'member$i'| (|tptp.'pair$z'| A__questionmark_v3 A__questionmark_v4) A__questionmark_v2) (|tptp.'member$h'| (|tptp.'pair$b'| A__questionmark_v5 A__questionmark_v6) (|tptp.'listrel$c'| A__questionmark_v2))))))) (forall ((A__questionmark_v0 |tptp.'A_constr_list_list$'|) (A__questionmark_v1 |tptp.'Nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod_list$'|) (A__questionmark_v2 |tptp.'A_constr_list_nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod_prod_set$'|)) (=> (and (|tptp.'member$e'| (|tptp.'pair$y'| A__questionmark_v0 A__questionmark_v1) (|tptp.'listrel$'| A__questionmark_v2)) (=> (and (= A__questionmark_v0 |tptp.'nil$a'|) (= A__questionmark_v1 |tptp.'nil$l'|)) false) (forall ((A__questionmark_v3 |tptp.'A_constr_list$'|) (A__questionmark_v4 |tptp.'Nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod$'|) (A__questionmark_v5 |tptp.'A_constr_list_list$'|) (A__questionmark_v6 |tptp.'Nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod_list$'|)) (=> (and (= A__questionmark_v0 (|tptp.'cons$b'| A__questionmark_v3 A__questionmark_v5)) (= A__questionmark_v1 (|tptp.'cons$r'| A__questionmark_v4 A__questionmark_v6)) (|tptp.'member$f'| (|tptp.'pair$'| A__questionmark_v3 A__questionmark_v4) A__questionmark_v2) (|tptp.'member$e'| (|tptp.'pair$y'| A__questionmark_v5 A__questionmark_v6) (|tptp.'listrel$'| A__questionmark_v2))) false))) false)) (forall ((A__questionmark_v0 |tptp.'Nat_list$'|) (A__questionmark_v1 |tptp.'A_TESL_atomic_list_a_TESL_atomic_list_prod_list$'|) (A__questionmark_v2 |tptp.'Nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod_set$'|)) (=> (and (|tptp.'member$'| (|tptp.'pair$d'| A__questionmark_v0 A__questionmark_v1) (|tptp.'listrel$a'| A__questionmark_v2)) (=> (and (= A__questionmark_v0 |tptp.'nil$c'|) (= A__questionmark_v1 |tptp.'nil$m'|)) false) (forall ((A__questionmark_v3 |tptp.'Nat$'|) (A__questionmark_v4 |tptp.'A_TESL_atomic_list_a_TESL_atomic_list_prod$'|) (A__questionmark_v5 |tptp.'Nat_list$'|) (A__questionmark_v6 |tptp.'A_TESL_atomic_list_a_TESL_atomic_list_prod_list$'|)) (=> (and (= A__questionmark_v0 (|tptp.'cons$d'| A__questionmark_v3 A__questionmark_v5)) (= A__questionmark_v1 (|tptp.'cons$q'| A__questionmark_v4 A__questionmark_v6)) (|tptp.'member$a'| (|tptp.'pair$a'| A__questionmark_v3 A__questionmark_v4) A__questionmark_v2) (|tptp.'member$'| (|tptp.'pair$d'| A__questionmark_v5 A__questionmark_v6) (|tptp.'listrel$a'| A__questionmark_v2))) false))) false)) (forall ((A__questionmark_v0 |tptp.'A_TESL_atomic_list_list$'|) (A__questionmark_v1 |tptp.'A_TESL_atomic_list_list$'|) (A__questionmark_v2 |tptp.'A_TESL_atomic_list_a_TESL_atomic_list_prod_set$'|)) (=> (and (|tptp.'member$g'| (|tptp.'pair$c'| A__questionmark_v0 A__questionmark_v1) (|tptp.'listrel$b'| A__questionmark_v2)) (=> (and (= A__questionmark_v0 |tptp.'nil$b'|) (= A__questionmark_v1 |tptp.'nil$b'|)) false) (forall ((A__questionmark_v3 |tptp.'A_TESL_atomic_list$'|) (A__questionmark_v4 |tptp.'A_TESL_atomic_list$'|) (A__questionmark_v5 |tptp.'A_TESL_atomic_list_list$'|) (A__questionmark_v6 |tptp.'A_TESL_atomic_list_list$'|)) (=> (and (= A__questionmark_v0 (|tptp.'cons$c'| A__questionmark_v3 A__questionmark_v5)) (= A__questionmark_v1 (|tptp.'cons$c'| A__questionmark_v4 A__questionmark_v6)) (|tptp.'member$h'| (|tptp.'pair$b'| A__questionmark_v3 A__questionmark_v4) A__questionmark_v2) (|tptp.'member$g'| (|tptp.'pair$c'| A__questionmark_v5 A__questionmark_v6) (|tptp.'listrel$b'| A__questionmark_v2))) false))) false)) (forall ((A__questionmark_v0 |tptp.'A_TESL_atomic_list$'|) (A__questionmark_v1 |tptp.'A_TESL_atomic_list$'|) (A__questionmark_v2 |tptp.'A_TESL_atomic_a_TESL_atomic_prod_set$'|)) (=> (and (|tptp.'member$h'| (|tptp.'pair$b'| A__questionmark_v0 A__questionmark_v1) (|tptp.'listrel$c'| A__questionmark_v2)) (=> (and (= A__questionmark_v0 |tptp.'nil$'|) (= A__questionmark_v1 |tptp.'nil$'|)) false) (forall ((A__questionmark_v3 |tptp.'A_TESL_atomic$'|) (A__questionmark_v4 |tptp.'A_TESL_atomic$'|) (A__questionmark_v5 |tptp.'A_TESL_atomic_list$'|) (A__questionmark_v6 |tptp.'A_TESL_atomic_list$'|)) (=> (and (= A__questionmark_v0 (|tptp.'fun_app$e'| (|tptp.'cons$'| A__questionmark_v3) A__questionmark_v5)) (= A__questionmark_v1 (|tptp.'fun_app$e'| (|tptp.'cons$'| A__questionmark_v4) A__questionmark_v6)) (|tptp.'member$i'| (|tptp.'pair$z'| A__questionmark_v3 A__questionmark_v4) A__questionmark_v2) (|tptp.'member$h'| (|tptp.'pair$b'| A__questionmark_v5 A__questionmark_v6) (|tptp.'listrel$c'| A__questionmark_v2))) false))) false)) (forall ((A__questionmark_v0 |tptp.'A_TESL_atomic_list$'|) (A__questionmark_v1 |tptp.'A_TESL_atomic_a_TESL_atomic_prod_set$'|)) (= (|tptp.'member$h'| (|tptp.'pair$b'| |tptp.'nil$'| A__questionmark_v0) (|tptp.'lexord$'| A__questionmark_v1)) (exists ((A__questionmark_v2 |tptp.'A_TESL_atomic$'|) (A__questionmark_v3 |tptp.'A_TESL_atomic_list$'|)) (= A__questionmark_v0 (|tptp.'fun_app$e'| (|tptp.'cons$'| A__questionmark_v2) A__questionmark_v3))))) (forall ((A__questionmark_v0 |tptp.'A_TESL_atomic_list$'|) (A__questionmark_v1 |tptp.'A_TESL_atomic_list_list$'|) (A__questionmark_v2 |tptp.'A_TESL_atomic_list$'|) (A__questionmark_v3 |tptp.'A_TESL_atomic_list_list$'|) (A__questionmark_v4 |tptp.'A_TESL_atomic_list_a_TESL_atomic_list_prod_set$'|)) (let ((_let_1 (|tptp.'lexord$a'| A__questionmark_v4))) (= (|tptp.'member$g'| (|tptp.'pair$c'| (|tptp.'cons$c'| A__questionmark_v0 A__questionmark_v1) (|tptp.'cons$c'| A__questionmark_v2 A__questionmark_v3)) _let_1) (or (|tptp.'member$h'| (|tptp.'pair$b'| A__questionmark_v0 A__questionmark_v2) A__questionmark_v4) (and (= A__questionmark_v0 A__questionmark_v2) (|tptp.'member$g'| (|tptp.'pair$c'| A__questionmark_v1 A__questionmark_v3) _let_1)))))) (forall ((A__questionmark_v0 |tptp.'A_TESL_atomic$'|) (A__questionmark_v1 |tptp.'A_TESL_atomic_list$'|) (A__questionmark_v2 |tptp.'A_TESL_atomic$'|) (A__questionmark_v3 |tptp.'A_TESL_atomic_list$'|) (A__questionmark_v4 |tptp.'A_TESL_atomic_a_TESL_atomic_prod_set$'|)) (let ((_let_1 (|tptp.'lexord$'| A__questionmark_v4))) (= (|tptp.'member$h'| (|tptp.'pair$b'| (|tptp.'fun_app$e'| (|tptp.'cons$'| A__questionmark_v0) A__questionmark_v1) (|tptp.'fun_app$e'| (|tptp.'cons$'| A__questionmark_v2) A__questionmark_v3)) _let_1) (or (|tptp.'member$i'| (|tptp.'pair$z'| A__questionmark_v0 A__questionmark_v2) A__questionmark_v4) (and (= A__questionmark_v0 A__questionmark_v2) (|tptp.'member$h'| (|tptp.'pair$b'| A__questionmark_v1 A__questionmark_v3) _let_1)))))) (forall ((A__questionmark_v0 |tptp.'A_TESL_atomic_a_TESL_atomic_prod_set$'|) (A__questionmark_v1 |tptp.'A_TESL_atomic_list$'|) (A__questionmark_v2 |tptp.'A_TESL_atomic_list$'|)) (let ((_let_1 (|tptp.'lexord$'| A__questionmark_v0))) (=> (forall ((A__questionmark_v3 |tptp.'A_TESL_atomic$'|) (A__questionmark_v4 |tptp.'A_TESL_atomic$'|)) (or (|tptp.'member$i'| (|tptp.'pair$z'| A__questionmark_v3 A__questionmark_v4) A__questionmark_v0) (= A__questionmark_v3 A__questionmark_v4) (|tptp.'member$i'| (|tptp.'pair$z'| A__questionmark_v4 A__questionmark_v3) A__questionmark_v0))) (or (|tptp.'member$h'| (|tptp.'pair$b'| A__questionmark_v1 A__questionmark_v2) _let_1) (= A__questionmark_v1 A__questionmark_v2) (|tptp.'member$h'| (|tptp.'pair$b'| A__questionmark_v2 A__questionmark_v1) _let_1))))) (forall ((A__questionmark_v0 |tptp.'A_TESL_atomic_list_a_TESL_atomic_list_prod_set$'|) (A__questionmark_v1 |tptp.'A_TESL_atomic_list_list$'|) (A__questionmark_v2 |tptp.'A_TESL_atomic_list_list$'|)) (let ((_let_1 (|tptp.'lexord$a'| A__questionmark_v0))) (=> (forall ((A__questionmark_v3 |tptp.'A_TESL_atomic_list$'|) (A__questionmark_v4 |tptp.'A_TESL_atomic_list$'|)) (or (|tptp.'member$h'| (|tptp.'pair$b'| A__questionmark_v3 A__questionmark_v4) A__questionmark_v0) (= A__questionmark_v3 A__questionmark_v4) (|tptp.'member$h'| (|tptp.'pair$b'| A__questionmark_v4 A__questionmark_v3) A__questionmark_v0))) (or (|tptp.'member$g'| (|tptp.'pair$c'| A__questionmark_v1 A__questionmark_v2) _let_1) (= A__questionmark_v1 A__questionmark_v2) (|tptp.'member$g'| (|tptp.'pair$c'| A__questionmark_v2 A__questionmark_v1) _let_1))))) (forall ((A__questionmark_v0 |tptp.'A_TESL_atomic_a_TESL_atomic_prod_set$'|) (A__questionmark_v1 |tptp.'A_TESL_atomic_list$'|)) (=> (forall ((A__questionmark_v2 |tptp.'A_TESL_atomic$'|)) (not (|tptp.'member$i'| (|tptp.'pair$z'| A__questionmark_v2 A__questionmark_v2) A__questionmark_v0))) (not (|tptp.'member$h'| (|tptp.'pair$b'| A__questionmark_v1 A__questionmark_v1) (|tptp.'lexord$'| A__questionmark_v0))))) (forall ((A__questionmark_v0 |tptp.'A_TESL_atomic_list_a_TESL_atomic_list_prod_set$'|) (A__questionmark_v1 |tptp.'A_TESL_atomic_list_list$'|)) (=> (forall ((A__questionmark_v2 |tptp.'A_TESL_atomic_list$'|)) (not (|tptp.'member$h'| (|tptp.'pair$b'| A__questionmark_v2 A__questionmark_v2) A__questionmark_v0))) (not (|tptp.'member$g'| (|tptp.'pair$c'| A__questionmark_v1 A__questionmark_v1) (|tptp.'lexord$a'| A__questionmark_v0))))) (forall ((A__questionmark_v0 |tptp.'A_TESL_atomic_a_TESL_atomic_prod_set$'|)) (|tptp.'member$h'| (|tptp.'pair$b'| |tptp.'nil$'| |tptp.'nil$'|) (|tptp.'listrel$c'| A__questionmark_v0))) (forall ((A__questionmark_v0 |tptp.'A_TESL_atomic_list$'|) (A__questionmark_v1 |tptp.'A_TESL_atomic_a_TESL_atomic_prod_set$'|)) (=> (and (|tptp.'member$h'| (|tptp.'pair$b'| |tptp.'nil$'| A__questionmark_v0) (|tptp.'listrel$c'| A__questionmark_v1)) (=> (= A__questionmark_v0 |tptp.'nil$'|) false)) false)) (forall ((A__questionmark_v0 |tptp.'A_TESL_atomic_list$'|) (A__questionmark_v1 |tptp.'A_TESL_atomic_a_TESL_atomic_prod_set$'|)) (=> (and (|tptp.'member$h'| (|tptp.'pair$b'| A__questionmark_v0 |tptp.'nil$'|) (|tptp.'listrel$c'| A__questionmark_v1)) (=> (= A__questionmark_v0 |tptp.'nil$'|) false)) false)) (forall ((A__questionmark_v0 |tptp.'A_TESL_atomic_list$'|) (A__questionmark_v1 |tptp.'A_TESL_atomic_a_TESL_atomic_prod_set$'|)) (not (|tptp.'member$h'| (|tptp.'pair$b'| A__questionmark_v0 |tptp.'nil$'|) (|tptp.'lexord$'| A__questionmark_v1)))) (forall ((A__questionmark_v0 |tptp.'A_TESL_atomic$'|) (A__questionmark_v1 |tptp.'A_TESL_atomic$'|) (A__questionmark_v2 |tptp.'A_TESL_atomic_a_TESL_atomic_prod_set$'|) (A__questionmark_v3 |tptp.'A_TESL_atomic_list$'|) (A__questionmark_v4 |tptp.'A_TESL_atomic_list$'|)) (let ((_let_1 (|tptp.'listrel$c'| A__questionmark_v2))) (=> (and (|tptp.'member$i'| (|tptp.'pair$z'| A__questionmark_v0 A__questionmark_v1) A__questionmark_v2) (|tptp.'member$h'| (|tptp.'pair$b'| A__questionmark_v3 A__questionmark_v4) _let_1)) (|tptp.'member$h'| (|tptp.'pair$b'| (|tptp.'fun_app$e'| (|tptp.'cons$'| A__questionmark_v0) A__questionmark_v3) (|tptp.'fun_app$e'| (|tptp.'cons$'| A__questionmark_v1) A__questionmark_v4)) _let_1)))) (forall ((A__questionmark_v0 |tptp.'A_constr_list$'|) (A__questionmark_v1 |tptp.'Nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod$'|) (A__questionmark_v2 |tptp.'A_constr_list_nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod_prod_set$'|) (A__questionmark_v3 |tptp.'A_constr_list_list$'|) (A__questionmark_v4 |tptp.'Nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod_list$'|)) (let ((_let_1 (|tptp.'listrel$'| A__questionmark_v2))) (=> (and (|tptp.'member$f'| (|tptp.'pair$'| A__questionmark_v0 A__questionmark_v1) A__questionmark_v2) (|tptp.'member$e'| (|tptp.'pair$y'| A__questionmark_v3 A__questionmark_v4) _let_1)) (|tptp.'member$e'| (|tptp.'pair$y'| (|tptp.'cons$b'| A__questionmark_v0 A__questionmark_v3) (|tptp.'cons$r'| A__questionmark_v1 A__questionmark_v4)) _let_1)))) (forall ((A__questionmark_v0 |tptp.'Nat$'|) (A__questionmark_v1 |tptp.'A_TESL_atomic_list_a_TESL_atomic_list_prod$'|) (A__questionmark_v2 |tptp.'Nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod_set$'|) (A__questionmark_v3 |tptp.'Nat_list$'|) (A__questionmark_v4 |tptp.'A_TESL_atomic_list_a_TESL_atomic_list_prod_list$'|)) (let ((_let_1 (|tptp.'listrel$a'| A__questionmark_v2))) (=> (and (|tptp.'member$a'| (|tptp.'pair$a'| A__questionmark_v0 A__questionmark_v1) A__questionmark_v2) (|tptp.'member$'| (|tptp.'pair$d'| A__questionmark_v3 A__questionmark_v4) _let_1)) (|tptp.'member$'| (|tptp.'pair$d'| (|tptp.'cons$d'| A__questionmark_v0 A__questionmark_v3) (|tptp.'cons$q'| A__questionmark_v1 A__questionmark_v4)) _let_1)))) (forall ((A__questionmark_v0 |tptp.'A_TESL_atomic_list$'|) (A__questionmark_v1 |tptp.'A_TESL_atomic_list$'|) (A__questionmark_v2 |tptp.'A_TESL_atomic_list_a_TESL_atomic_list_prod_set$'|) (A__questionmark_v3 |tptp.'A_TESL_atomic_list_list$'|) (A__questionmark_v4 |tptp.'A_TESL_atomic_list_list$'|)) (let ((_let_1 (|tptp.'listrel$b'| A__questionmark_v2))) (=> (and (|tptp.'member$h'| (|tptp.'pair$b'| A__questionmark_v0 A__questionmark_v1) A__questionmark_v2) (|tptp.'member$g'| (|tptp.'pair$c'| A__questionmark_v3 A__questionmark_v4) _let_1)) (|tptp.'member$g'| (|tptp.'pair$c'| (|tptp.'cons$c'| A__questionmark_v0 A__questionmark_v3) (|tptp.'cons$c'| A__questionmark_v1 A__questionmark_v4)) _let_1)))) (forall ((A__questionmark_v0 |tptp.'A_constr_list$'|) (A__questionmark_v1 |tptp.'A_constr_list_list$'|) (A__questionmark_v2 |tptp.'Nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod_list$'|) (A__questionmark_v3 |tptp.'A_constr_list_nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod_prod_set$'|)) (=> (and (|tptp.'member$e'| (|tptp.'pair$y'| (|tptp.'cons$b'| A__questionmark_v0 A__questionmark_v1) A__questionmark_v2) (|tptp.'listrel$'| A__questionmark_v3)) (forall ((A__questionmark_v4 |tptp.'Nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod$'|) (A__questionmark_v5 |tptp.'Nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod_list$'|)) (=> (and (= A__questionmark_v2 (|tptp.'cons$r'| A__questionmark_v4 A__questionmark_v5)) (|tptp.'member$f'| (|tptp.'pair$'| A__questionmark_v0 A__questionmark_v4) A__questionmark_v3) (|tptp.'member$e'| (|tptp.'pair$y'| A__questionmark_v1 A__questionmark_v5) (|tptp.'listrel$'| A__questionmark_v3))) false))) false)) (forall ((A__questionmark_v0 |tptp.'Nat$'|) (A__questionmark_v1 |tptp.'Nat_list$'|) (A__questionmark_v2 |tptp.'A_TESL_atomic_list_a_TESL_atomic_list_prod_list$'|) (A__questionmark_v3 |tptp.'Nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod_set$'|)) (=> (and (|tptp.'member$'| (|tptp.'pair$d'| (|tptp.'cons$d'| A__questionmark_v0 A__questionmark_v1) A__questionmark_v2) (|tptp.'listrel$a'| A__questionmark_v3)) (forall ((A__questionmark_v4 |tptp.'A_TESL_atomic_list_a_TESL_atomic_list_prod$'|) (A__questionmark_v5 |tptp.'A_TESL_atomic_list_a_TESL_atomic_list_prod_list$'|)) (=> (and (= A__questionmark_v2 (|tptp.'cons$q'| A__questionmark_v4 A__questionmark_v5)) (|tptp.'member$a'| (|tptp.'pair$a'| A__questionmark_v0 A__questionmark_v4) A__questionmark_v3) (|tptp.'member$'| (|tptp.'pair$d'| A__questionmark_v1 A__questionmark_v5) (|tptp.'listrel$a'| A__questionmark_v3))) false))) false)) (forall ((A__questionmark_v0 |tptp.'A_TESL_atomic_list$'|) (A__questionmark_v1 |tptp.'A_TESL_atomic_list_list$'|) (A__questionmark_v2 |tptp.'A_TESL_atomic_list_list$'|) (A__questionmark_v3 |tptp.'A_TESL_atomic_list_a_TESL_atomic_list_prod_set$'|)) (=> (and (|tptp.'member$g'| (|tptp.'pair$c'| (|tptp.'cons$c'| A__questionmark_v0 A__questionmark_v1) A__questionmark_v2) (|tptp.'listrel$b'| A__questionmark_v3)) (forall ((A__questionmark_v4 |tptp.'A_TESL_atomic_list$'|) (A__questionmark_v5 |tptp.'A_TESL_atomic_list_list$'|)) (=> (and (= A__questionmark_v2 (|tptp.'cons$c'| A__questionmark_v4 A__questionmark_v5)) (|tptp.'member$h'| (|tptp.'pair$b'| A__questionmark_v0 A__questionmark_v4) A__questionmark_v3) (|tptp.'member$g'| (|tptp.'pair$c'| A__questionmark_v1 A__questionmark_v5) (|tptp.'listrel$b'| A__questionmark_v3))) false))) false)) (forall ((A__questionmark_v0 |tptp.'A_TESL_atomic$'|) (A__questionmark_v1 |tptp.'A_TESL_atomic_list$'|) (A__questionmark_v2 |tptp.'A_TESL_atomic_list$'|) (A__questionmark_v3 |tptp.'A_TESL_atomic_a_TESL_atomic_prod_set$'|)) (=> (and (|tptp.'member$h'| (|tptp.'pair$b'| (|tptp.'fun_app$e'| (|tptp.'cons$'| A__questionmark_v0) A__questionmark_v1) A__questionmark_v2) (|tptp.'listrel$c'| A__questionmark_v3)) (forall ((A__questionmark_v4 |tptp.'A_TESL_atomic$'|) (A__questionmark_v5 |tptp.'A_TESL_atomic_list$'|)) (=> (and (= A__questionmark_v2 (|tptp.'fun_app$e'| (|tptp.'cons$'| A__questionmark_v4) A__questionmark_v5)) (|tptp.'member$i'| (|tptp.'pair$z'| A__questionmark_v0 A__questionmark_v4) A__questionmark_v3) (|tptp.'member$h'| (|tptp.'pair$b'| A__questionmark_v1 A__questionmark_v5) (|tptp.'listrel$c'| A__questionmark_v3))) false))) false)) (forall ((A__questionmark_v0 |tptp.'A_constr_list_list$'|) (A__questionmark_v1 |tptp.'Nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod$'|) (A__questionmark_v2 |tptp.'Nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod_list$'|) (A__questionmark_v3 |tptp.'A_constr_list_nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod_prod_set$'|)) (=> (and (|tptp.'member$e'| (|tptp.'pair$y'| A__questionmark_v0 (|tptp.'cons$r'| A__questionmark_v1 A__questionmark_v2)) (|tptp.'listrel$'| A__questionmark_v3)) (forall ((A__questionmark_v4 |tptp.'A_constr_list$'|) (A__questionmark_v5 |tptp.'A_constr_list_list$'|)) (=> (and (= A__questionmark_v0 (|tptp.'cons$b'| A__questionmark_v4 A__questionmark_v5)) (|tptp.'member$f'| (|tptp.'pair$'| A__questionmark_v4 A__questionmark_v1) A__questionmark_v3) (|tptp.'member$e'| (|tptp.'pair$y'| A__questionmark_v5 A__questionmark_v2) (|tptp.'listrel$'| A__questionmark_v3))) false))) false)) (forall ((A__questionmark_v0 |tptp.'Nat_list$'|) (A__questionmark_v1 |tptp.'A_TESL_atomic_list_a_TESL_atomic_list_prod$'|) (A__questionmark_v2 |tptp.'A_TESL_atomic_list_a_TESL_atomic_list_prod_list$'|) (A__questionmark_v3 |tptp.'Nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod_set$'|)) (=> (and (|tptp.'member$'| (|tptp.'pair$d'| A__questionmark_v0 (|tptp.'cons$q'| A__questionmark_v1 A__questionmark_v2)) (|tptp.'listrel$a'| A__questionmark_v3)) (forall ((A__questionmark_v4 |tptp.'Nat$'|) (A__questionmark_v5 |tptp.'Nat_list$'|)) (=> (and (= A__questionmark_v0 (|tptp.'cons$d'| A__questionmark_v4 A__questionmark_v5)) (|tptp.'member$a'| (|tptp.'pair$a'| A__questionmark_v4 A__questionmark_v1) A__questionmark_v3) (|tptp.'member$'| (|tptp.'pair$d'| A__questionmark_v5 A__questionmark_v2) (|tptp.'listrel$a'| A__questionmark_v3))) false))) false)) (forall ((A__questionmark_v0 |tptp.'A_TESL_atomic_list_list$'|) (A__questionmark_v1 |tptp.'A_TESL_atomic_list$'|) (A__questionmark_v2 |tptp.'A_TESL_atomic_list_list$'|) (A__questionmark_v3 |tptp.'A_TESL_atomic_list_a_TESL_atomic_list_prod_set$'|)) (=> (and (|tptp.'member$g'| (|tptp.'pair$c'| A__questionmark_v0 (|tptp.'cons$c'| A__questionmark_v1 A__questionmark_v2)) (|tptp.'listrel$b'| A__questionmark_v3)) (forall ((A__questionmark_v4 |tptp.'A_TESL_atomic_list$'|) (A__questionmark_v5 |tptp.'A_TESL_atomic_list_list$'|)) (=> (and (= A__questionmark_v0 (|tptp.'cons$c'| A__questionmark_v4 A__questionmark_v5)) (|tptp.'member$h'| (|tptp.'pair$b'| A__questionmark_v4 A__questionmark_v1) A__questionmark_v3) (|tptp.'member$g'| (|tptp.'pair$c'| A__questionmark_v5 A__questionmark_v2) (|tptp.'listrel$b'| A__questionmark_v3))) false))) false)) (forall ((A__questionmark_v0 |tptp.'A_TESL_atomic_list$'|) (A__questionmark_v1 |tptp.'A_TESL_atomic$'|) (A__questionmark_v2 |tptp.'A_TESL_atomic_list$'|) (A__questionmark_v3 |tptp.'A_TESL_atomic_a_TESL_atomic_prod_set$'|)) (=> (and (|tptp.'member$h'| (|tptp.'pair$b'| A__questionmark_v0 (|tptp.'fun_app$e'| (|tptp.'cons$'| A__questionmark_v1) A__questionmark_v2)) (|tptp.'listrel$c'| A__questionmark_v3)) (forall ((A__questionmark_v4 |tptp.'A_TESL_atomic$'|) (A__questionmark_v5 |tptp.'A_TESL_atomic_list$'|)) (=> (and (= A__questionmark_v0 (|tptp.'fun_app$e'| (|tptp.'cons$'| A__questionmark_v4) A__questionmark_v5)) (|tptp.'member$i'| (|tptp.'pair$z'| A__questionmark_v4 A__questionmark_v1) A__questionmark_v3) (|tptp.'member$h'| (|tptp.'pair$b'| A__questionmark_v5 A__questionmark_v2) (|tptp.'listrel$c'| A__questionmark_v3))) false))) false)) (forall ((A__questionmark_v0 |tptp.'A_constr_list_nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod_prod$'|) (A__questionmark_v1 |tptp.'A_constr_list_nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod_prod$'|)) (= (|tptp.'fun_app$i'| (|tptp.'operational_semantics_step$'| A__questionmark_v0) A__questionmark_v1) (or (exists ((A__questionmark_v2 |tptp.'A_constr_list$'|) (A__questionmark_v3 |tptp.'Nat$'|) (A__questionmark_v4 |tptp.'A_TESL_atomic_list$'|) (A__questionmark_v5 |tptp.'A_TESL_atomic_list$'|) (A__questionmark_v6 |tptp.'A_constr_list$'|) (A__questionmark_v7 |tptp.'Nat$'|) (A__questionmark_v8 |tptp.'A_TESL_atomic_list$'|) (A__questionmark_v9 |tptp.'A_TESL_atomic_list$'|)) (let ((_let_1 (|tptp.'pair$'| A__questionmark_v6 (|tptp.'pair$a'| A__questionmark_v7 (|tptp.'pair$b'| A__questionmark_v8 A__questionmark_v9))))) (let ((_let_2 (|tptp.'pair$'| A__questionmark_v2 (|tptp.'pair$a'| A__questionmark_v3 (|tptp.'pair$b'| A__questionmark_v4 A__questionmark_v5))))) (and (= A__questionmark_v0 _let_2) (= A__questionmark_v1 _let_1) (|tptp.'fun_app$i'| (|tptp.'operational_semantics_intro$'| _let_2) _let_1))))) (exists ((A__questionmark_v2 |tptp.'A_constr_list$'|) (A__questionmark_v3 |tptp.'Nat$'|) (A__questionmark_v4 |tptp.'A_TESL_atomic_list$'|) (A__questionmark_v5 |tptp.'A_TESL_atomic_list$'|) (A__questionmark_v6 |tptp.'A_constr_list$'|) (A__questionmark_v7 |tptp.'Nat$'|) (A__questionmark_v8 |tptp.'A_TESL_atomic_list$'|) (A__questionmark_v9 |tptp.'A_TESL_atomic_list$'|)) (let ((_let_1 (|tptp.'pair$'| A__questionmark_v6 (|tptp.'pair$a'| A__questionmark_v7 (|tptp.'pair$b'| A__questionmark_v8 A__questionmark_v9))))) (let ((_let_2 (|tptp.'pair$'| A__questionmark_v2 (|tptp.'pair$a'| A__questionmark_v3 (|tptp.'pair$b'| A__questionmark_v4 A__questionmark_v5))))) (and (= A__questionmark_v0 _let_2) (= A__questionmark_v1 _let_1) (|tptp.'fun_app$i'| (|tptp.'operational_semantics_elim$'| _let_2) _let_1)))))))) (forall ((A__questionmark_v0 |tptp.'A_constr_list$'|) (A__questionmark_v1 |tptp.'Nat$'|) (A__questionmark_v2 |tptp.'A_TESL_atomic_list$'|) (A__questionmark_v3 |tptp.'A_TESL_atomic_list$'|) (A__questionmark_v4 |tptp.'A_constr_list$'|) (A__questionmark_v5 |tptp.'Nat$'|) (A__questionmark_v6 |tptp.'A_TESL_atomic_list$'|) (A__questionmark_v7 |tptp.'A_TESL_atomic_list$'|)) (let ((_let_1 (|tptp.'pair$'| A__questionmark_v4 (|tptp.'pair$a'| A__questionmark_v5 (|tptp.'pair$b'| A__questionmark_v6 A__questionmark_v7))))) (let ((_let_2 (|tptp.'pair$'| A__questionmark_v0 (|tptp.'pair$a'| A__questionmark_v1 (|tptp.'pair$b'| A__questionmark_v2 A__questionmark_v3))))) (=> (|tptp.'fun_app$i'| (|tptp.'operational_semantics_elim$'| _let_2) _let_1) (|tptp.'fun_app$i'| (|tptp.'operational_semantics_step$'| _let_2) _let_1))))) (forall ((A__questionmark_v0 |tptp.'A_TESL_atomic_list$'|) (A__questionmark_v1 |tptp.'A_TESL_atomic_list_list$'|) (A__questionmark_v2 |tptp.'A_TESL_atomic_list$'|) (A__questionmark_v3 |tptp.'A_TESL_atomic_list_list$'|) (A__questionmark_v4 |tptp.'A_TESL_atomic_list_a_TESL_atomic_list_prod_set$'|)) (let ((_let_1 (|tptp.'listrel1$'| A__questionmark_v4))) (= (|tptp.'member$g'| (|tptp.'pair$c'| (|tptp.'cons$c'| A__questionmark_v0 A__questionmark_v1) (|tptp.'cons$c'| A__questionmark_v2 A__questionmark_v3)) _let_1) (or (and (|tptp.'member$h'| (|tptp.'pair$b'| A__questionmark_v0 A__questionmark_v2) A__questionmark_v4) (= A__questionmark_v1 A__questionmark_v3)) (and (= A__questionmark_v0 A__questionmark_v2) (|tptp.'member$g'| (|tptp.'pair$c'| A__questionmark_v1 A__questionmark_v3) _let_1)))))) (forall ((A__questionmark_v0 |tptp.'A_TESL_atomic$'|) (A__questionmark_v1 |tptp.'A_TESL_atomic_list$'|) (A__questionmark_v2 |tptp.'A_TESL_atomic$'|) (A__questionmark_v3 |tptp.'A_TESL_atomic_list$'|) (A__questionmark_v4 |tptp.'A_TESL_atomic_a_TESL_atomic_prod_set$'|)) (let ((_let_1 (|tptp.'listrel1$a'| A__questionmark_v4))) (= (|tptp.'member$h'| (|tptp.'pair$b'| (|tptp.'fun_app$e'| (|tptp.'cons$'| A__questionmark_v0) A__questionmark_v1) (|tptp.'fun_app$e'| (|tptp.'cons$'| A__questionmark_v2) A__questionmark_v3)) _let_1) (or (and (|tptp.'member$i'| (|tptp.'pair$z'| A__questionmark_v0 A__questionmark_v2) A__questionmark_v4) (= A__questionmark_v1 A__questionmark_v3)) (and (= A__questionmark_v0 A__questionmark_v2) (|tptp.'member$h'| (|tptp.'pair$b'| A__questionmark_v1 A__questionmark_v3) _let_1)))))) (forall ((A__questionmark_v0 |tptp.'A_TESL_atomic$'|) (A__questionmark_v1 |tptp.'A_TESL_atomic$'|) (A__questionmark_v2 |tptp.'A_TESL_atomic_a_TESL_atomic_prod_set$'|) (A__questionmark_v3 |tptp.'A_TESL_atomic_list$'|) (A__questionmark_v4 |tptp.'A_TESL_atomic_list$'|) (A__questionmark_v5 |tptp.'A_TESL_atomic_list$'|)) (let ((_let_1 (|tptp.'append$'| A__questionmark_v3))) (=> (|tptp.'member$i'| (|tptp.'pair$z'| A__questionmark_v0 A__questionmark_v1) A__questionmark_v2) (|tptp.'member$h'| (|tptp.'pair$b'| (|tptp.'fun_app$e'| _let_1 (|tptp.'fun_app$e'| (|tptp.'cons$'| A__questionmark_v0) A__questionmark_v4)) (|tptp.'fun_app$e'| _let_1 (|tptp.'fun_app$e'| (|tptp.'cons$'| A__questionmark_v1) A__questionmark_v5))) (|tptp.'lexord$'| A__questionmark_v2))))) (forall ((A__questionmark_v0 |tptp.'A_TESL_atomic_list$'|) (A__questionmark_v1 |tptp.'A_TESL_atomic_list$'|) (A__questionmark_v2 |tptp.'A_TESL_atomic_list_a_TESL_atomic_list_prod_set$'|) (A__questionmark_v3 |tptp.'A_TESL_atomic_list_list$'|) (A__questionmark_v4 |tptp.'A_TESL_atomic_list_list$'|) (A__questionmark_v5 |tptp.'A_TESL_atomic_list_list$'|)) (=> (|tptp.'member$h'| (|tptp.'pair$b'| A__questionmark_v0 A__questionmark_v1) A__questionmark_v2) (|tptp.'member$g'| (|tptp.'pair$c'| (|tptp.'append$a'| A__questionmark_v3 (|tptp.'cons$c'| A__questionmark_v0 A__questionmark_v4)) (|tptp.'append$a'| A__questionmark_v3 (|tptp.'cons$c'| A__questionmark_v1 A__questionmark_v5))) (|tptp.'lexord$a'| A__questionmark_v2)))) (forall ((A__questionmark_v0 |tptp.'A_TESL_atomic_list$'|) (A__questionmark_v1 |tptp.'A_TESL_atomic_a_TESL_atomic_prod_set$'|)) (= (|tptp.'member$h'| (|tptp.'pair$b'| |tptp.'nil$'| A__questionmark_v0) (|tptp.'lenlex$'| A__questionmark_v1)) (not (= A__questionmark_v0 |tptp.'nil$'|)))) (forall ((A__questionmark_v0 |tptp.'A_TESL_atomic_list$'|) (A__questionmark_v1 |tptp.'A_TESL_atomic$'|) (A__questionmark_v2 |tptp.'A_TESL_atomic_list$'|) (A__questionmark_v3 |tptp.'A_TESL_atomic$'|)) (= (= (|tptp.'fun_app$e'| (|tptp.'append$'| A__questionmark_v0) (|tptp.'fun_app$e'| (|tptp.'cons$'| A__questionmark_v1) |tptp.'nil$'|)) (|tptp.'fun_app$e'| (|tptp.'append$'| A__questionmark_v2) (|tptp.'fun_app$e'| (|tptp.'cons$'| A__questionmark_v3) |tptp.'nil$'|))) (and (= A__questionmark_v0 A__questionmark_v2) (= A__questionmark_v1 A__questionmark_v3)))) (forall ((A__questionmark_v0 |tptp.'A_TESL_atomic_list$'|) (A__questionmark_v1 |tptp.'A_TESL_atomic_list$'|) (A__questionmark_v2 |tptp.'A_TESL_atomic_a_TESL_atomic_prod_set$'|) (A__questionmark_v3 |tptp.'A_TESL_atomic_list$'|) (A__questionmark_v4 |tptp.'A_TESL_atomic_list$'|)) (let ((_let_1 (|tptp.'listrel1$a'| A__questionmark_v2))) (=> (or (and (|tptp.'member$h'| (|tptp.'pair$b'| A__questionmark_v0 A__questionmark_v1) _let_1) (= A__questionmark_v3 A__questionmark_v4)) (and (= A__questionmark_v0 A__questionmark_v1) (|tptp.'member$h'| (|tptp.'pair$b'| A__questionmark_v3 A__questionmark_v4) _let_1))) (|tptp.'member$h'| (|tptp.'pair$b'| (|tptp.'fun_app$e'| (|tptp.'append$'| A__questionmark_v0) A__questionmark_v3) (|tptp.'fun_app$e'| (|tptp.'append$'| A__questionmark_v1) A__questionmark_v4)) _let_1)))) (forall ((A__questionmark_v0 |tptp.'A_TESL_atomic$'|) (A__questionmark_v1 |tptp.'A_TESL_atomic_list$'|) (A__questionmark_v2 |tptp.'A_TESL_atomic_list$'|) (A__questionmark_v3 |tptp.'A_TESL_atomic_list$'|) (A__questionmark_v4 |tptp.'A_TESL_atomic_list$'|)) (let ((_let_1 (|tptp.'cons$'| A__questionmark_v0))) (=> (and (= (|tptp.'fun_app$e'| _let_1 A__questionmark_v1) A__questionmark_v2) (= A__questionmark_v3 (|tptp.'fun_app$e'| (|tptp.'append$'| A__questionmark_v1) A__questionmark_v4))) (= (|tptp.'fun_app$e'| _let_1 A__questionmark_v3) (|tptp.'fun_app$e'| (|tptp.'append$'| A__questionmark_v2) A__questionmark_v4))))) (forall ((A__questionmark_v0 |tptp.'A_TESL_atomic$'|) (A__questionmark_v1 |tptp.'A_TESL_atomic_list$'|) (A__questionmark_v2 |tptp.'A_TESL_atomic_list$'|)) (let ((_let_1 (|tptp.'cons$'| A__questionmark_v0))) (= (|tptp.'fun_app$e'| (|tptp.'append$'| (|tptp.'fun_app$e'| _let_1 A__questionmark_v1)) A__questionmark_v2) (|tptp.'fun_app$e'| _let_1 (|tptp.'fun_app$e'| (|tptp.'append$'| A__questionmark_v1) A__questionmark_v2))))) (forall ((A__questionmark_v0 |tptp.'A_TESL_atomic$'|) (A__questionmark_v1 |tptp.'A_TESL_atomic$'|) (A__questionmark_v2 |tptp.'A_TESL_atomic_a_TESL_atomic_prod_set$'|) (A__questionmark_v3 |tptp.'A_TESL_atomic_list$'|) (A__questionmark_v4 |tptp.'A_TESL_atomic_list$'|) (A__questionmark_v5 |tptp.'A_TESL_atomic_list$'|) (A__questionmark_v6 |tptp.'A_TESL_atomic_list$'|)) (let ((_let_1 (|tptp.'append$'| A__questionmark_v4))) (=> (and (|tptp.'member$i'| (|tptp.'pair$z'| A__questionmark_v0 A__questionmark_v1) A__questionmark_v2) (= A__questionmark_v3 (|tptp.'fun_app$e'| _let_1 (|tptp.'fun_app$e'| (|tptp.'cons$'| A__questionmark_v0) A__questionmark_v5))) (= A__questionmark_v6 (|tptp.'fun_app$e'| _let_1 (|tptp.'fun_app$e'| (|tptp.'cons$'| A__questionmark_v1) A__questionmark_v5)))) (|tptp.'member$h'| (|tptp.'pair$b'| A__questionmark_v3 A__questionmark_v6) (|tptp.'listrel1$a'| A__questionmark_v2))))) (forall ((A__questionmark_v0 |tptp.'A_TESL_atomic_list$'|) (A__questionmark_v1 |tptp.'A_TESL_atomic_list$'|) (A__questionmark_v2 |tptp.'A_TESL_atomic_list_a_TESL_atomic_list_prod_set$'|) (A__questionmark_v3 |tptp.'A_TESL_atomic_list_list$'|) (A__questionmark_v4 |tptp.'A_TESL_atomic_list_list$'|) (A__questionmark_v5 |tptp.'A_TESL_atomic_list_list$'|) (A__questionmark_v6 |tptp.'A_TESL_atomic_list_list$'|)) (=> (and (|tptp.'member$h'| (|tptp.'pair$b'| A__questionmark_v0 A__questionmark_v1) A__questionmark_v2) (= A__questionmark_v3 (|tptp.'append$a'| A__questionmark_v4 (|tptp.'cons$c'| A__questionmark_v0 A__questionmark_v5))) (= A__questionmark_v6 (|tptp.'append$a'| A__questionmark_v4 (|tptp.'cons$c'| A__questionmark_v1 A__questionmark_v5)))) (|tptp.'member$g'| (|tptp.'pair$c'| A__questionmark_v3 A__questionmark_v6) (|tptp.'listrel1$'| A__questionmark_v2)))) (forall ((A__questionmark_v0 |tptp.'A_TESL_atomic_list_list$'|) (A__questionmark_v1 |tptp.'A_TESL_atomic_list_list$'|) (A__questionmark_v2 |tptp.'A_TESL_atomic_list_a_TESL_atomic_list_prod_set$'|)) (=> (and (|tptp.'member$g'| (|tptp.'pair$c'| A__questionmark_v0 A__questionmark_v1) (|tptp.'listrel1$'| A__questionmark_v2)) (forall ((A__questionmark_v3 |tptp.'A_TESL_atomic_list$'|) (A__questionmark_v4 |tptp.'A_TESL_atomic_list$'|) (A__questionmark_v5 |tptp.'A_TESL_atomic_list_list$'|) (A__questionmark_v6 |tptp.'A_TESL_atomic_list_list$'|)) (=> (and (|tptp.'member$h'| (|tptp.'pair$b'| A__questionmark_v3 A__questionmark_v4) A__questionmark_v2) (= A__questionmark_v0 (|tptp.'append$a'| A__questionmark_v5 (|tptp.'cons$c'| A__questionmark_v3 A__questionmark_v6))) (= A__questionmark_v1 (|tptp.'append$a'| A__questionmark_v5 (|tptp.'cons$c'| A__questionmark_v4 A__questionmark_v6)))) false))) false)) (forall ((A__questionmark_v0 |tptp.'A_TESL_atomic_list$'|) (A__questionmark_v1 |tptp.'A_TESL_atomic_list$'|) (A__questionmark_v2 |tptp.'A_TESL_atomic_a_TESL_atomic_prod_set$'|)) (=> (and (|tptp.'member$h'| (|tptp.'pair$b'| A__questionmark_v0 A__questionmark_v1) (|tptp.'listrel1$a'| A__questionmark_v2)) (forall ((A__questionmark_v3 |tptp.'A_TESL_atomic$'|) (A__questionmark_v4 |tptp.'A_TESL_atomic$'|) (A__questionmark_v5 |tptp.'A_TESL_atomic_list$'|) (A__questionmark_v6 |tptp.'A_TESL_atomic_list$'|)) (let ((_let_1 (|tptp.'append$'| A__questionmark_v5))) (=> (and (|tptp.'member$i'| (|tptp.'pair$z'| A__questionmark_v3 A__questionmark_v4) A__questionmark_v2) (= A__questionmark_v0 (|tptp.'fun_app$e'| _let_1 (|tptp.'fun_app$e'| (|tptp.'cons$'| A__questionmark_v3) A__questionmark_v6))) (= A__questionmark_v1 (|tptp.'fun_app$e'| _let_1 (|tptp.'fun_app$e'| (|tptp.'cons$'| A__questionmark_v4) A__questionmark_v6)))) false)))) false)) (forall ((A__questionmark_v0 |tptp.'A_TESL_atomic_list_list$'|) (A__questionmark_v1 |tptp.'A_TESL_atomic_list$'|) (A__questionmark_v2 |tptp.'A_TESL_atomic_list_list$'|) (A__questionmark_v3 |tptp.'A_TESL_atomic_list$'|) (A__questionmark_v4 |tptp.'A_TESL_atomic_list_a_TESL_atomic_list_prod_set$'|)) (let ((_let_1 (|tptp.'listrel1$'| A__questionmark_v4))) (= (|tptp.'member$g'| (|tptp.'pair$c'| (|tptp.'append$a'| A__questionmark_v0 (|tptp.'cons$c'| A__questionmark_v1 |tptp.'nil$b'|)) (|tptp.'append$a'| A__questionmark_v2 (|tptp.'cons$c'| A__questionmark_v3 |tptp.'nil$b'|))) _let_1) (or (and (|tptp.'member$g'| (|tptp.'pair$c'| A__questionmark_v0 A__questionmark_v2) _let_1) (= A__questionmark_v1 A__questionmark_v3)) (and (= A__questionmark_v0 A__questionmark_v2) (|tptp.'member$h'| (|tptp.'pair$b'| A__questionmark_v1 A__questionmark_v3) A__questionmark_v4)))))) (forall ((A__questionmark_v0 |tptp.'A_TESL_atomic_list$'|) (A__questionmark_v1 |tptp.'A_TESL_atomic$'|) (A__questionmark_v2 |tptp.'A_TESL_atomic_list$'|) (A__questionmark_v3 |tptp.'A_TESL_atomic$'|) (A__questionmark_v4 |tptp.'A_TESL_atomic_a_TESL_atomic_prod_set$'|)) (let ((_let_1 (|tptp.'listrel1$a'| A__questionmark_v4))) (= (|tptp.'member$h'| (|tptp.'pair$b'| (|tptp.'fun_app$e'| (|tptp.'append$'| A__questionmark_v0) (|tptp.'fun_app$e'| (|tptp.'cons$'| A__questionmark_v1) |tptp.'nil$'|)) (|tptp.'fun_app$e'| (|tptp.'append$'| A__questionmark_v2) (|tptp.'fun_app$e'| (|tptp.'cons$'| A__questionmark_v3) |tptp.'nil$'|))) _let_1) (or (and (|tptp.'member$h'| (|tptp.'pair$b'| A__questionmark_v0 A__questionmark_v2) _let_1) (= A__questionmark_v1 A__questionmark_v3)) (and (= A__questionmark_v0 A__questionmark_v2) (|tptp.'member$i'| (|tptp.'pair$z'| A__questionmark_v1 A__questionmark_v3) A__questionmark_v4)))))) (forall ((A__questionmark_v0 |tptp.'A_TESL_atomic_list_bool_fun$'|) (A__questionmark_v1 |tptp.'A_TESL_atomic_list$'|)) (=> (and (|tptp.'fun_app$c'| A__questionmark_v0 |tptp.'nil$'|) (forall ((A__questionmark_v2 |tptp.'A_TESL_atomic$'|) (A__questionmark_v3 |tptp.'A_TESL_atomic_list$'|)) (=> (|tptp.'fun_app$c'| A__questionmark_v0 A__questionmark_v3) (|tptp.'fun_app$c'| A__questionmark_v0 (|tptp.'fun_app$e'| (|tptp.'append$'| A__questionmark_v3) (|tptp.'fun_app$e'| (|tptp.'cons$'| A__questionmark_v2) |tptp.'nil$'|)))))) (|tptp.'fun_app$c'| A__questionmark_v0 A__questionmark_v1))) (forall ((A__questionmark_v0 |tptp.'A_TESL_atomic_list$'|)) (=> (and (=> (= A__questionmark_v0 |tptp.'nil$'|) false) (forall ((A__questionmark_v1 |tptp.'A_TESL_atomic_list$'|) (A__questionmark_v2 |tptp.'A_TESL_atomic$'|)) (=> (= A__questionmark_v0 (|tptp.'fun_app$e'| (|tptp.'append$'| A__questionmark_v1) (|tptp.'fun_app$e'| (|tptp.'cons$'| A__questionmark_v2) |tptp.'nil$'|))) false))) false)) (forall ((A__questionmark_v0 |tptp.'A_TESL_atomic$'|) (A__questionmark_v1 |tptp.'A_TESL_atomic_list$'|) (A__questionmark_v2 |tptp.'A_TESL_atomic_list$'|) (A__questionmark_v3 |tptp.'A_TESL_atomic_list$'|)) (let ((_let_1 (|tptp.'fun_app$e'| (|tptp.'cons$'| A__questionmark_v0) A__questionmark_v1))) (= (= _let_1 (|tptp.'fun_app$e'| (|tptp.'append$'| A__questionmark_v2) A__questionmark_v3)) (or (and (= A__questionmark_v2 |tptp.'nil$'|) (= _let_1 A__questionmark_v3)) (exists ((A__questionmark_v4 |tptp.'A_TESL_atomic_list$'|)) (and (= (|tptp.'fun_app$e'| (|tptp.'cons$'| A__questionmark_v0) A__questionmark_v4) A__questionmark_v2) (= A__questionmark_v1 (|tptp.'fun_app$e'| (|tptp.'append$'| A__questionmark_v4) A__questionmark_v3)))))))) (forall ((A__questionmark_v0 |tptp.'A_TESL_atomic_list$'|) (A__questionmark_v1 |tptp.'A_TESL_atomic_list$'|) (A__questionmark_v2 |tptp.'A_TESL_atomic$'|) (A__questionmark_v3 |tptp.'A_TESL_atomic_list$'|)) (let ((_let_1 (|tptp.'fun_app$e'| (|tptp.'cons$'| A__questionmark_v2) A__questionmark_v3))) (= (= (|tptp.'fun_app$e'| (|tptp.'append$'| A__questionmark_v0) A__questionmark_v1) _let_1) (or (and (= A__questionmark_v0 |tptp.'nil$'|) (= A__questionmark_v1 _let_1)) (exists ((A__questionmark_v4 |tptp.'A_TESL_atomic_list$'|)) (and (= A__questionmark_v0 (|tptp.'fun_app$e'| (|tptp.'cons$'| A__questionmark_v2) A__questionmark_v4)) (= (|tptp.'fun_app$e'| (|tptp.'append$'| A__questionmark_v4) A__questionmark_v1) A__questionmark_v3))))))) (forall ((A__questionmark_v0 |tptp.'A_TESL_atomic_list$'|) (A__questionmark_v1 |tptp.'A_TESL_atomic_list_bool_fun$'|)) (=> (and (not (= A__questionmark_v0 |tptp.'nil$'|)) (forall ((A__questionmark_v2 |tptp.'A_TESL_atomic$'|)) (|tptp.'fun_app$c'| A__questionmark_v1 (|tptp.'fun_app$e'| (|tptp.'cons$'| A__questionmark_v2) |tptp.'nil$'|))) (forall ((A__questionmark_v2 |tptp.'A_TESL_atomic$'|) (A__questionmark_v3 |tptp.'A_TESL_atomic_list$'|)) (=> (and (not (= A__questionmark_v3 |tptp.'nil$'|)) (|tptp.'fun_app$c'| A__questionmark_v1 A__questionmark_v3)) (|tptp.'fun_app$c'| A__questionmark_v1 (|tptp.'fun_app$e'| (|tptp.'append$'| A__questionmark_v3) (|tptp.'fun_app$e'| (|tptp.'cons$'| A__questionmark_v2) |tptp.'nil$'|)))))) (|tptp.'fun_app$c'| A__questionmark_v1 A__questionmark_v0))) (forall ((A__questionmark_v0 |tptp.'A_TESL_atomic_list$'|) (A__questionmark_v1 |tptp.'A_TESL_atomic_list$'|) (A__questionmark_v2 |tptp.'A_TESL_atomic_a_TESL_atomic_prod_set$'|) (A__questionmark_v3 |tptp.'A_TESL_atomic_list$'|)) (let ((_let_1 (|tptp.'lexord$'| A__questionmark_v2))) (let ((_let_2 (|tptp.'append$'| A__questionmark_v3))) (=> (|tptp.'member$h'| (|tptp.'pair$b'| A__questionmark_v0 A__questionmark_v1) _let_1) (|tptp.'member$h'| (|tptp.'pair$b'| (|tptp.'fun_app$e'| _let_2 A__questionmark_v0) (|tptp.'fun_app$e'| _let_2 A__questionmark_v1)) _let_1))))) (forall ((A__questionmark_v0 |tptp.'A_TESL_atomic_list$'|) (A__questionmark_v1 |tptp.'A_TESL_atomic_list$'|) (A__questionmark_v2 |tptp.'A_TESL_atomic_a_TESL_atomic_prod_set$'|) (A__questionmark_v3 |tptp.'A_TESL_atomic$'|)) (let ((_let_1 (|tptp.'listrel1$a'| A__questionmark_v2))) (let ((_let_2 (|tptp.'cons$'| A__questionmark_v3))) (=> (|tptp.'member$h'| (|tptp.'pair$b'| A__questionmark_v0 A__questionmark_v1) _let_1) (|tptp.'member$h'| (|tptp.'pair$b'| (|tptp.'fun_app$e'| _let_2 A__questionmark_v0) (|tptp.'fun_app$e'| _let_2 A__questionmark_v1)) _let_1))))) (forall ((A__questionmark_v0 |tptp.'A_TESL_atomic_list$'|) (A__questionmark_v1 |tptp.'A_TESL_atomic_a_TESL_atomic_prod_set$'|)) (not (|tptp.'member$h'| (|tptp.'pair$b'| A__questionmark_v0 |tptp.'nil$'|) (|tptp.'listrel1$a'| A__questionmark_v1)))) (forall ((A__questionmark_v0 |tptp.'A_TESL_atomic_list$'|) (A__questionmark_v1 |tptp.'A_TESL_atomic_a_TESL_atomic_prod_set$'|)) (not (|tptp.'member$h'| (|tptp.'pair$b'| |tptp.'nil$'| A__questionmark_v0) (|tptp.'listrel1$a'| A__questionmark_v1)))) (forall ((A__questionmark_v0 |tptp.'A_TESL_atomic_list$'|) (A__questionmark_v1 |tptp.'A_TESL_atomic_list$'|) (A__questionmark_v2 |tptp.'Nat$'|)) (= (|tptp.'tESL_interpretation_stepwise$'| (|tptp.'fun_app$e'| (|tptp.'append$'| A__questionmark_v0) A__questionmark_v1) A__questionmark_v2) (|tptp.'fun_app$f'| (|tptp.'fun_app$g'| |tptp.'inf$'| (|tptp.'tESL_interpretation_stepwise$'| A__questionmark_v0 A__questionmark_v2)) (|tptp.'tESL_interpretation_stepwise$'| A__questionmark_v1 A__questionmark_v2)))) (forall ((A__questionmark_v0 |tptp.'A_constr_list$'|) (A__questionmark_v1 |tptp.'Nat$'|) (A__questionmark_v2 |tptp.'A_TESL_atomic_list$'|) (A__questionmark_v3 |tptp.'A_TESL_atomic_list$'|) (A__questionmark_v4 |tptp.'A_constr_list$'|) (A__questionmark_v5 |tptp.'A_TESL_atomic_list$'|) (A__questionmark_v6 |tptp.'A_TESL_atomic_list$'|)) (= (|tptp.'fun_app$f'| (|tptp.'fun_app$g'| |tptp.'inf$'| (|tptp.'heronConf_interpretation$'| (|tptp.'pair$'| A__questionmark_v0 (|tptp.'pair$a'| A__questionmark_v1 (|tptp.'pair$b'| A__questionmark_v2 A__questionmark_v3))))) (|tptp.'heronConf_interpretation$'| (|tptp.'pair$'| A__questionmark_v4 (|tptp.'pair$a'| A__questionmark_v1 (|tptp.'pair$b'| A__questionmark_v5 A__questionmark_v6))))) (|tptp.'heronConf_interpretation$'| (|tptp.'pair$'| (|tptp.'append$b'| A__questionmark_v0 A__questionmark_v4) (|tptp.'pair$a'| A__questionmark_v1 (|tptp.'pair$b'| (|tptp.'fun_app$e'| (|tptp.'append$'| A__questionmark_v2) A__questionmark_v5) (|tptp.'fun_app$e'| (|tptp.'append$'| A__questionmark_v3) A__questionmark_v6))))))) (forall ((A__questionmark_v0 |tptp.'A_TESL_atomic_a_TESL_atomic_prod_set$'|) (A__questionmark_v1 |tptp.'A_TESL_atomic_list$'|)) (=> (forall ((A__questionmark_v2 |tptp.'A_TESL_atomic$'|)) (not (|tptp.'member$i'| (|tptp.'pair$z'| A__questionmark_v2 A__questionmark_v2) A__questionmark_v0))) (not (|tptp.'member$h'| (|tptp.'pair$b'| A__questionmark_v1 A__questionmark_v1) (|tptp.'lenlex$'| A__questionmark_v0))))) (forall ((A__questionmark_v0 |tptp.'A_TESL_atomic_list_a_TESL_atomic_list_prod_set$'|) (A__questionmark_v1 |tptp.'A_TESL_atomic_list_list$'|)) (=> (forall ((A__questionmark_v2 |tptp.'A_TESL_atomic_list$'|)) (not (|tptp.'member$h'| (|tptp.'pair$b'| A__questionmark_v2 A__questionmark_v2) A__questionmark_v0))) (not (|tptp.'member$g'| (|tptp.'pair$c'| A__questionmark_v1 A__questionmark_v1) (|tptp.'lenlex$a'| A__questionmark_v0))))) (forall ((A__questionmark_v0 |tptp.'A_TESL_atomic_list$'|) (A__questionmark_v1 |tptp.'A_TESL_atomic_a_TESL_atomic_prod_set$'|)) (not (|tptp.'member$h'| (|tptp.'pair$b'| A__questionmark_v0 |tptp.'nil$'|) (|tptp.'lenlex$'| A__questionmark_v1)))) (forall ((A__questionmark_v0 |tptp.'A_TESL_atomic_list_list$'|) (A__questionmark_v1 |tptp.'A_TESL_atomic_list_list$'|) (A__questionmark_v2 |tptp.'A_TESL_atomic_list_list$'|) (A__questionmark_v3 |tptp.'A_TESL_atomic_list_a_TESL_atomic_list_prod_set$'|)) (let ((_let_1 (|tptp.'lexord$a'| A__questionmark_v3))) (=> (and (|tptp.'member$g'| (|tptp.'pair$c'| (|tptp.'append$a'| A__questionmark_v0 A__questionmark_v1) (|tptp.'append$a'| A__questionmark_v0 A__questionmark_v2)) _let_1) (forall ((A__questionmark_v4 |tptp.'A_TESL_atomic_list$'|)) (not (|tptp.'member$h'| (|tptp.'pair$b'| A__questionmark_v4 A__questionmark_v4) A__questionmark_v3)))) (|tptp.'member$g'| (|tptp.'pair$c'| A__questionmark_v1 A__questionmark_v2) _let_1)))) (forall ((A__questionmark_v0 |tptp.'A_TESL_atomic_list$'|) (A__questionmark_v1 |tptp.'A_TESL_atomic_list$'|) (A__questionmark_v2 |tptp.'A_TESL_atomic_list$'|) (A__questionmark_v3 |tptp.'A_TESL_atomic_a_TESL_atomic_prod_set$'|)) (let ((_let_1 (|tptp.'lexord$'| A__questionmark_v3))) (let ((_let_2 (|tptp.'append$'| A__questionmark_v0))) (=> (and (|tptp.'member$h'| (|tptp.'pair$b'| (|tptp.'fun_app$e'| _let_2 A__questionmark_v1) (|tptp.'fun_app$e'| _let_2 A__questionmark_v2)) _let_1) (forall ((A__questionmark_v4 |tptp.'A_TESL_atomic$'|)) (not (|tptp.'member$i'| (|tptp.'pair$z'| A__questionmark_v4 A__questionmark_v4) A__questionmark_v3)))) (|tptp.'member$h'| (|tptp.'pair$b'| A__questionmark_v1 A__questionmark_v2) _let_1))))) (forall ((A__questionmark_v0 |tptp.'A_TESL_atomic_list$'|) (A__questionmark_v1 |tptp.'A_TESL_atomic_list$'|) (A__questionmark_v2 |tptp.'A_TESL_atomic_a_TESL_atomic_prod_set$'|)) (=> (exists ((A__questionmark_v3 |tptp.'A_TESL_atomic$'|) (A__questionmark_v4 |tptp.'A_TESL_atomic_list$'|)) (= A__questionmark_v0 (|tptp.'fun_app$e'| (|tptp.'cons$'| A__questionmark_v3) A__questionmark_v4))) (|tptp.'member$h'| (|tptp.'pair$b'| A__questionmark_v1 (|tptp.'fun_app$e'| (|tptp.'append$'| A__questionmark_v1) A__questionmark_v0)) (|tptp.'lexord$'| A__questionmark_v2)))) (forall ((A__questionmark_v0 |tptp.'A_TESL_atomic_list_list$'|) (A__questionmark_v1 |tptp.'A_TESL_atomic_list$'|) (A__questionmark_v2 |tptp.'A_TESL_atomic_list_list$'|) (A__questionmark_v3 |tptp.'A_TESL_atomic_list_a_TESL_atomic_list_prod_set$'|)) (=> (and (|tptp.'member$g'| (|tptp.'pair$c'| A__questionmark_v0 (|tptp.'cons$c'| A__questionmark_v1 A__questionmark_v2)) (|tptp.'listrel1$'| A__questionmark_v3)) (forall ((A__questionmark_v4 |tptp.'A_TESL_atomic_list$'|)) (=> (and (= A__questionmark_v0 (|tptp.'cons$c'| A__questionmark_v4 A__questionmark_v2)) (|tptp.'member$h'| (|tptp.'pair$b'| A__questionmark_v4 A__questionmark_v1) A__questionmark_v3)) false)) (forall ((A__questionmark_v4 |tptp.'A_TESL_atomic_list_list$'|)) (=> (and (= A__questionmark_v0 (|tptp.'cons$c'| A__questionmark_v1 A__questionmark_v4)) (|tptp.'member$g'| (|tptp.'pair$c'| A__questionmark_v4 A__questionmark_v2) (|tptp.'listrel1$'| A__questionmark_v3))) false))) false)) (forall ((A__questionmark_v0 |tptp.'A_TESL_atomic_list$'|) (A__questionmark_v1 |tptp.'A_TESL_atomic$'|) (A__questionmark_v2 |tptp.'A_TESL_atomic_list$'|) (A__questionmark_v3 |tptp.'A_TESL_atomic_a_TESL_atomic_prod_set$'|)) (=> (and (|tptp.'member$h'| (|tptp.'pair$b'| A__questionmark_v0 (|tptp.'fun_app$e'| (|tptp.'cons$'| A__questionmark_v1) A__questionmark_v2)) (|tptp.'listrel1$a'| A__questionmark_v3)) (forall ((A__questionmark_v4 |tptp.'A_TESL_atomic$'|)) (=> (and (= A__questionmark_v0 (|tptp.'fun_app$e'| (|tptp.'cons$'| A__questionmark_v4) A__questionmark_v2)) (|tptp.'member$i'| (|tptp.'pair$z'| A__questionmark_v4 A__questionmark_v1) A__questionmark_v3)) false)) (forall ((A__questionmark_v4 |tptp.'A_TESL_atomic_list$'|)) (=> (and (= A__questionmark_v0 (|tptp.'fun_app$e'| (|tptp.'cons$'| A__questionmark_v1) A__questionmark_v4)) (|tptp.'member$h'| (|tptp.'pair$b'| A__questionmark_v4 A__questionmark_v2) (|tptp.'listrel1$a'| A__questionmark_v3))) false))) false)) (forall ((A__questionmark_v0 |tptp.'A_TESL_atomic_list$'|) (A__questionmark_v1 |tptp.'A_TESL_atomic_list_list$'|) (A__questionmark_v2 |tptp.'A_TESL_atomic_list_list$'|) (A__questionmark_v3 |tptp.'A_TESL_atomic_list_a_TESL_atomic_list_prod_set$'|)) (=> (and (|tptp.'member$g'| (|tptp.'pair$c'| (|tptp.'cons$c'| A__questionmark_v0 A__questionmark_v1) A__questionmark_v2) (|tptp.'listrel1$'| A__questionmark_v3)) (forall ((A__questionmark_v4 |tptp.'A_TESL_atomic_list$'|)) (=> (and (= A__questionmark_v2 (|tptp.'cons$c'| A__questionmark_v4 A__questionmark_v1)) (|tptp.'member$h'| (|tptp.'pair$b'| A__questionmark_v0 A__questionmark_v4) A__questionmark_v3)) false)) (forall ((A__questionmark_v4 |tptp.'A_TESL_atomic_list_list$'|)) (=> (and (= A__questionmark_v2 (|tptp.'cons$c'| A__questionmark_v0 A__questionmark_v4)) (|tptp.'member$g'| (|tptp.'pair$c'| A__questionmark_v1 A__questionmark_v4) (|tptp.'listrel1$'| A__questionmark_v3))) false))) false)) (forall ((A__questionmark_v0 |tptp.'A_TESL_atomic$'|) (A__questionmark_v1 |tptp.'A_TESL_atomic_list$'|) (A__questionmark_v2 |tptp.'A_TESL_atomic_list$'|) (A__questionmark_v3 |tptp.'A_TESL_atomic_a_TESL_atomic_prod_set$'|)) (=> (and (|tptp.'member$h'| (|tptp.'pair$b'| (|tptp.'fun_app$e'| (|tptp.'cons$'| A__questionmark_v0) A__questionmark_v1) A__questionmark_v2) (|tptp.'listrel1$a'| A__questionmark_v3)) (forall ((A__questionmark_v4 |tptp.'A_TESL_atomic$'|)) (=> (and (= A__questionmark_v2 (|tptp.'fun_app$e'| (|tptp.'cons$'| A__questionmark_v4) A__questionmark_v1)) (|tptp.'member$i'| (|tptp.'pair$z'| A__questionmark_v0 A__questionmark_v4) A__questionmark_v3)) false)) (forall ((A__questionmark_v4 |tptp.'A_TESL_atomic_list$'|)) (=> (and (= A__questionmark_v2 (|tptp.'fun_app$e'| (|tptp.'cons$'| A__questionmark_v0) A__questionmark_v4)) (|tptp.'member$h'| (|tptp.'pair$b'| A__questionmark_v1 A__questionmark_v4) (|tptp.'listrel1$a'| A__questionmark_v3))) false))) false)) (forall ((A__questionmark_v0 |tptp.'A_TESL_atomic$'|) (A__questionmark_v1 |tptp.'A_TESL_atomic$'|) (A__questionmark_v2 |tptp.'A_TESL_atomic_a_TESL_atomic_prod_set$'|) (A__questionmark_v3 |tptp.'A_TESL_atomic_list$'|)) (=> (|tptp.'member$i'| (|tptp.'pair$z'| A__questionmark_v0 A__questionmark_v1) A__questionmark_v2) (|tptp.'member$h'| (|tptp.'pair$b'| (|tptp.'fun_app$e'| (|tptp.'cons$'| A__questionmark_v0) A__questionmark_v3) (|tptp.'fun_app$e'| (|tptp.'cons$'| A__questionmark_v1) A__questionmark_v3)) (|tptp.'listrel1$a'| A__questionmark_v2)))) (forall ((A__questionmark_v0 |tptp.'A_TESL_atomic_list$'|) (A__questionmark_v1 |tptp.'A_TESL_atomic_list$'|) (A__questionmark_v2 |tptp.'A_TESL_atomic_list_a_TESL_atomic_list_prod_set$'|) (A__questionmark_v3 |tptp.'A_TESL_atomic_list_list$'|)) (=> (|tptp.'member$h'| (|tptp.'pair$b'| A__questionmark_v0 A__questionmark_v1) A__questionmark_v2) (|tptp.'member$g'| (|tptp.'pair$c'| (|tptp.'cons$c'| A__questionmark_v0 A__questionmark_v3) (|tptp.'cons$c'| A__questionmark_v1 A__questionmark_v3)) (|tptp.'listrel1$'| A__questionmark_v2)))) (forall ((A__questionmark_v0 |tptp.'A_constr_list$'|) (A__questionmark_v1 |tptp.'A_constr_list$'|)) (= (|tptp.'symbolic_run_interpretation$'| (|tptp.'append$b'| A__questionmark_v0 A__questionmark_v1)) (|tptp.'fun_app$f'| (|tptp.'fun_app$g'| |tptp.'inf$'| (|tptp.'symbolic_run_interpretation$'| A__questionmark_v0)) (|tptp.'symbolic_run_interpretation$'| A__questionmark_v1)))) (forall ((A__questionmark_v0 |tptp.'A_TESL_atomic_a_TESL_atomic_prod_set$'|) (A__questionmark_v1 |tptp.'A_TESL_atomic_list$'|) (A__questionmark_v2 |tptp.'A_TESL_atomic_list$'|) (A__questionmark_v3 |tptp.'A_TESL_atomic_list$'|)) (let ((_let_1 (|tptp.'lenlex$'| A__questionmark_v0))) (let ((_let_2 (|tptp.'append$'| A__questionmark_v1))) (=> (|tptp.'irrefl$'| A__questionmark_v0) (= (|tptp.'member$h'| (|tptp.'pair$b'| (|tptp.'fun_app$e'| _let_2 A__questionmark_v2) (|tptp.'fun_app$e'| _let_2 A__questionmark_v3)) _let_1) (|tptp.'member$h'| (|tptp.'pair$b'| A__questionmark_v2 A__questionmark_v3) _let_1)))))) (forall ((A__questionmark_v0 |tptp.'A_TESL_atomic_a_TESL_atomic_prod_set$'|) (A__questionmark_v1 |tptp.'A_TESL_atomic_list$'|) (A__questionmark_v2 |tptp.'A_TESL_atomic_list$'|) (A__questionmark_v3 |tptp.'A_TESL_atomic_list$'|)) (let ((_let_1 (|tptp.'lexord$'| A__questionmark_v0))) (let ((_let_2 (|tptp.'append$'| A__questionmark_v1))) (=> (|tptp.'irrefl$'| A__questionmark_v0) (= (|tptp.'member$h'| (|tptp.'pair$b'| (|tptp.'fun_app$e'| _let_2 A__questionmark_v2) (|tptp.'fun_app$e'| _let_2 A__questionmark_v3)) _let_1) (|tptp.'member$h'| (|tptp.'pair$b'| A__questionmark_v2 A__questionmark_v3) _let_1)))))) (forall ((A__questionmark_v0 |tptp.'A_constr_list$'|) (A__questionmark_v1 |tptp.'Nat$'|) (A__questionmark_v2 |tptp.'Clock$'|) (A__questionmark_v3 |tptp.'A_tag_const$'|) (A__questionmark_v4 |tptp.'Clock$'|) (A__questionmark_v5 |tptp.'A_TESL_atomic_list$'|) (A__questionmark_v6 |tptp.'A_TESL_atomic_list$'|)) (let ((_let_1 (|tptp.'cons$'| (|tptp.'sporadicOn$'| A__questionmark_v2 A__questionmark_v3 A__questionmark_v4)))) (|tptp.'fun_app$i'| (|tptp.'operational_semantics_elim$'| (|tptp.'pair$'| A__questionmark_v0 (|tptp.'pair$a'| A__questionmark_v1 (|tptp.'pair$b'| (|tptp.'fun_app$e'| _let_1 A__questionmark_v5) A__questionmark_v6)))) (|tptp.'pair$'| A__questionmark_v0 (|tptp.'pair$a'| A__questionmark_v1 (|tptp.'pair$b'| A__questionmark_v5 (|tptp.'fun_app$e'| _let_1 A__questionmark_v6))))))) (forall ((A__questionmark_v0 |tptp.'Clock$'|) (A__questionmark_v1 |tptp.'A_tag_const$'|) (A__questionmark_v2 |tptp.'Clock$'|) (A__questionmark_v3 |tptp.'Clock$'|) (A__questionmark_v4 |tptp.'Clock$'|)) (not (= (|tptp.'sporadicOn$'| A__questionmark_v0 A__questionmark_v1 A__questionmark_v2) (|tptp.'strictlyPrecedes$'| A__questionmark_v3 A__questionmark_v4)))) (forall ((A__questionmark_v0 |tptp.'A_constr_list$'|) (A__questionmark_v1 |tptp.'A_constr_list$'|) (A__questionmark_v2 |tptp.'A_constr_list$'|)) (= (|tptp.'symbolic_run_interpretation$'| (|tptp.'append$b'| A__questionmark_v0 (|tptp.'append$b'| A__questionmark_v1 A__questionmark_v2))) (|tptp.'symbolic_run_interpretation$'| (|tptp.'append$b'| A__questionmark_v1 (|tptp.'append$b'| A__questionmark_v0 A__questionmark_v2))))) (forall ((A__questionmark_v0 |tptp.'A_constr_list$'|) (A__questionmark_v1 |tptp.'A_constr_list$'|)) (let ((_let_1 (|tptp.'append$b'| A__questionmark_v0 A__questionmark_v1))) (= (|tptp.'symbolic_run_interpretation$'| (|tptp.'append$b'| _let_1 A__questionmark_v1)) (|tptp.'symbolic_run_interpretation$'| _let_1)))) (forall ((A__questionmark_v0 |tptp.'A_constr_list$'|) (A__questionmark_v1 |tptp.'A_constr_list$'|)) (let ((_let_1 (|tptp.'append$b'| A__questionmark_v0 A__questionmark_v1))) (= (|tptp.'symbolic_run_interpretation$'| (|tptp.'append$b'| A__questionmark_v0 _let_1)) (|tptp.'symbolic_run_interpretation$'| _let_1)))) (forall ((A__questionmark_v0 |tptp.'A_constr_list$'|) (A__questionmark_v1 |tptp.'A_constr_list$'|)) (= (|tptp.'symbolic_run_interpretation$'| (|tptp.'append$b'| A__questionmark_v0 A__questionmark_v1)) (|tptp.'symbolic_run_interpretation$'| (|tptp.'append$b'| A__questionmark_v1 A__questionmark_v0)))) (forall ((A__questionmark_v0 |tptp.'A_constr_list$'|) (A__questionmark_v1 |tptp.'A_constr_list$'|) (A__questionmark_v2 |tptp.'A_constr_list$'|)) (= (|tptp.'symbolic_run_interpretation$'| (|tptp.'append$b'| (|tptp.'append$b'| A__questionmark_v0 A__questionmark_v1) A__questionmark_v2)) (|tptp.'symbolic_run_interpretation$'| (|tptp.'append$b'| A__questionmark_v0 (|tptp.'append$b'| A__questionmark_v1 A__questionmark_v2))))) (forall ((A__questionmark_v0 |tptp.'A_constr_list$'|)) (= (|tptp.'symbolic_run_interpretation$'| (|tptp.'append$b'| A__questionmark_v0 A__questionmark_v0)) (|tptp.'symbolic_run_interpretation$'| A__questionmark_v0))) (forall ((A__questionmark_v0 |tptp.'A_constr_list$'|)) (= (|tptp.'symbolic_run_interpretation$'| (|tptp.'append$b'| A__questionmark_v0 |tptp.'nil$k'|)) (|tptp.'symbolic_run_interpretation$'| A__questionmark_v0))) (forall ((A__questionmark_v0 |tptp.'A_constr_list$'|)) (= (|tptp.'symbolic_run_interpretation$'| (|tptp.'append$b'| |tptp.'nil$k'| A__questionmark_v0)) (|tptp.'symbolic_run_interpretation$'| A__questionmark_v0))) (forall ((A__questionmark_v0 |tptp.'A_TESL_atomic_list_a_TESL_atomic_list_prod_set$'|)) (= (|tptp.'irrefl$a'| A__questionmark_v0) (forall ((A__questionmark_v1 |tptp.'A_TESL_atomic_list$'|)) (not (|tptp.'member$h'| (|tptp.'pair$b'| A__questionmark_v1 A__questionmark_v1) A__questionmark_v0))))) (forall ((A__questionmark_v0 |tptp.'A_TESL_atomic_list_a_TESL_atomic_list_prod_set$'|)) (=> (forall ((A__questionmark_v1 |tptp.'A_TESL_atomic_list$'|)) (not (|tptp.'member$h'| (|tptp.'pair$b'| A__questionmark_v1 A__questionmark_v1) A__questionmark_v0))) (|tptp.'irrefl$a'| A__questionmark_v0))) (forall ((A__questionmark_v0 |tptp.'A_TESL_atomic$'|) (A__questionmark_v1 |tptp.'A_TESL_atomic_list$'|)) (let ((_let_1 (|tptp.'cons$'| A__questionmark_v0))) (= (|tptp.'fun_app$e'| |tptp.'rotate1$'| (|tptp.'fun_app$e'| _let_1 A__questionmark_v1)) (|tptp.'fun_app$e'| (|tptp.'append$'| A__questionmark_v1) (|tptp.'fun_app$e'| _let_1 |tptp.'nil$'|))))) (forall ((A__questionmark_v0 |tptp.'A_TESL_atomic_list$'|) (A__questionmark_v1 |tptp.'A_TESL_atomic$'|)) (= (|tptp.'fun_app$e'| |tptp.'butlast$'| (|tptp.'fun_app$e'| (|tptp.'append$'| A__questionmark_v0) (|tptp.'fun_app$e'| (|tptp.'cons$'| A__questionmark_v1) |tptp.'nil$'|))) A__questionmark_v0)) (forall ((A__questionmark_v0 |tptp.'A_TESL_atomic_list$'|) (A__questionmark_v1 |tptp.'A_TESL_atomic$'|)) (= (|tptp.'last$'| (|tptp.'fun_app$e'| (|tptp.'append$'| A__questionmark_v0) (|tptp.'fun_app$e'| (|tptp.'cons$'| A__questionmark_v1) |tptp.'nil$'|))) A__questionmark_v1)) (forall ((A__questionmark_v0 |tptp.'A_TESL_atomic_list$'|)) (=> (not (= A__questionmark_v0 |tptp.'nil$'|)) (= (|tptp.'fun_app$e'| (|tptp.'append$'| (|tptp.'fun_app$e'| |tptp.'butlast$'| A__questionmark_v0)) (|tptp.'fun_app$e'| (|tptp.'cons$'| (|tptp.'last$'| A__questionmark_v0)) |tptp.'nil$'|)) A__questionmark_v0))) (forall ((A__questionmark_v0 |tptp.'A_TESL_atomic_list$'|) (A__questionmark_v1 |tptp.'A_TESL_atomic$'|) (A__questionmark_v2 |tptp.'A_TESL_atomic_list$'|)) (= (= (|tptp.'fun_app$e'| (|tptp.'append$'| A__questionmark_v0) (|tptp.'fun_app$e'| (|tptp.'cons$'| A__questionmark_v1) |tptp.'nil$'|)) A__questionmark_v2) (and (not (= A__questionmark_v2 |tptp.'nil$'|)) (= (|tptp.'fun_app$e'| |tptp.'butlast$'| A__questionmark_v2) A__questionmark_v0) (= (|tptp.'last$'| A__questionmark_v2) A__questionmark_v1)))) (forall ((A__questionmark_v0 |tptp.'A_TESL_atomic$'|) (A__questionmark_v1 |tptp.'A_TESL_atomic_list$'|)) (let ((_let_1 (|tptp.'last$'| (|tptp.'fun_app$e'| (|tptp.'cons$'| A__questionmark_v0) A__questionmark_v1)))) (let ((_let_2 (= A__questionmark_v1 |tptp.'nil$'|))) (and (=> _let_2 (= _let_1 A__questionmark_v0)) (=> (not _let_2) (= _let_1 (|tptp.'last$'| A__questionmark_v1))))))) (forall ((A__questionmark_v0 |tptp.'A_TESL_atomic_list$'|) (A__questionmark_v1 |tptp.'A_TESL_atomic$'|)) (=> (= A__questionmark_v0 |tptp.'nil$'|) (= (|tptp.'last$'| (|tptp.'fun_app$e'| (|tptp.'cons$'| A__questionmark_v1) A__questionmark_v0)) A__questionmark_v1))) (forall ((A__questionmark_v0 |tptp.'A_TESL_atomic_list$'|) (A__questionmark_v1 |tptp.'A_TESL_atomic$'|)) (=> (not (= A__questionmark_v0 |tptp.'nil$'|)) (= (|tptp.'last$'| (|tptp.'fun_app$e'| (|tptp.'cons$'| A__questionmark_v1) A__questionmark_v0)) (|tptp.'last$'| A__questionmark_v0)))) (forall ((A__questionmark_v0 |tptp.'A_TESL_atomic$'|) (A__questionmark_v1 |tptp.'A_TESL_atomic_list$'|)) (let ((_let_1 (|tptp.'cons$'| A__questionmark_v0))) (let ((_let_2 (|tptp.'fun_app$e'| |tptp.'butlast$'| (|tptp.'fun_app$e'| _let_1 A__questionmark_v1)))) (let ((_let_3 (= A__questionmark_v1 |tptp.'nil$'|))) (and (=> _let_3 (= _let_2 |tptp.'nil$'|)) (=> (not _let_3) (= _let_2 (|tptp.'fun_app$e'| _let_1 (|tptp.'fun_app$e'| |tptp.'butlast$'| A__questionmark_v1))))))))) (forall ((A__questionmark_v0 |tptp.'A_TESL_atomic_list_list$'|) (A__questionmark_v1 |tptp.'A_TESL_atomic_list_list$'|) (A__questionmark_v2 |tptp.'A_TESL_atomic_list_list$'|) (A__questionmark_v3 |tptp.'A_TESL_atomic_list_a_TESL_atomic_list_prod_set$'|)) (let ((_let_1 (|tptp.'lexord$a'| A__questionmark_v3))) (= (|tptp.'member$g'| (|tptp.'pair$c'| (|tptp.'append$a'| A__questionmark_v0 A__questionmark_v1) (|tptp.'append$a'| A__questionmark_v0 A__questionmark_v2)) _let_1) (or (exists ((A__questionmark_v4 |tptp.'A_TESL_atomic_list$'|)) (and (|tptp.'member$c'| A__questionmark_v4 (|tptp.'set$'| A__questionmark_v0)) (|tptp.'member$h'| (|tptp.'pair$b'| A__questionmark_v4 A__questionmark_v4) A__questionmark_v3))) (|tptp.'member$g'| (|tptp.'pair$c'| A__questionmark_v1 A__questionmark_v2) _let_1))))) (forall ((A__questionmark_v0 |tptp.'A_TESL_atomic_list$'|) (A__questionmark_v1 |tptp.'A_TESL_atomic_list$'|) (A__questionmark_v2 |tptp.'A_TESL_atomic_list$'|) (A__questionmark_v3 |tptp.'A_TESL_atomic_a_TESL_atomic_prod_set$'|)) (let ((_let_1 (|tptp.'lexord$'| A__questionmark_v3))) (let ((_let_2 (|tptp.'append$'| A__questionmark_v0))) (= (|tptp.'member$h'| (|tptp.'pair$b'| (|tptp.'fun_app$e'| _let_2 A__questionmark_v1) (|tptp.'fun_app$e'| _let_2 A__questionmark_v2)) _let_1) (or (exists ((A__questionmark_v4 |tptp.'A_TESL_atomic$'|)) (and (|tptp.'member$b'| A__questionmark_v4 (|tptp.'set$a'| A__questionmark_v0)) (|tptp.'member$i'| (|tptp.'pair$z'| A__questionmark_v4 A__questionmark_v4) A__questionmark_v3))) (|tptp.'member$h'| (|tptp.'pair$b'| A__questionmark_v1 A__questionmark_v2) _let_1)))))) (forall ((A__questionmark_v0 |tptp.'A_TESL_atomic_a_TESL_atomic_prod_set$'|) (A__questionmark_v1 |tptp.'A_TESL_atomic_list$'|) (A__questionmark_v2 |tptp.'A_TESL_atomic_list$'|) (A__questionmark_v3 |tptp.'A_TESL_atomic_list$'|)) (let ((_let_1 (|tptp.'lex$'| A__questionmark_v0))) (let ((_let_2 (|tptp.'append$'| A__questionmark_v1))) (=> (forall ((A__questionmark_v4 |tptp.'A_TESL_atomic$'|)) (not (|tptp.'member$i'| (|tptp.'pair$z'| A__questionmark_v4 A__questionmark_v4) A__questionmark_v0))) (= (|tptp.'member$h'| (|tptp.'pair$b'| (|tptp.'fun_app$e'| _let_2 A__questionmark_v2) (|tptp.'fun_app$e'| _let_2 A__questionmark_v3)) _let_1) (|tptp.'member$h'| (|tptp.'pair$b'| A__questionmark_v2 A__questionmark_v3) _let_1)))))) (forall ((A__questionmark_v0 |tptp.'A_TESL_atomic_list_a_TESL_atomic_list_prod_set$'|) (A__questionmark_v1 |tptp.'A_TESL_atomic_list_list$'|) (A__questionmark_v2 |tptp.'A_TESL_atomic_list_list$'|) (A__questionmark_v3 |tptp.'A_TESL_atomic_list_list$'|)) (let ((_let_1 (|tptp.'lex$a'| A__questionmark_v0))) (=> (forall ((A__questionmark_v4 |tptp.'A_TESL_atomic_list$'|)) (not (|tptp.'member$h'| (|tptp.'pair$b'| A__questionmark_v4 A__questionmark_v4) A__questionmark_v0))) (= (|tptp.'member$g'| (|tptp.'pair$c'| (|tptp.'append$a'| A__questionmark_v1 A__questionmark_v2) (|tptp.'append$a'| A__questionmark_v1 A__questionmark_v3)) _let_1) (|tptp.'member$g'| (|tptp.'pair$c'| A__questionmark_v2 A__questionmark_v3) _let_1))))) (forall ((A__questionmark_v0 |tptp.'A_TESL_atomic_a_TESL_atomic_prod_set$'|) (A__questionmark_v1 |tptp.'A_TESL_atomic_list$'|) (A__questionmark_v2 |tptp.'A_TESL_atomic_list$'|) (A__questionmark_v3 |tptp.'A_TESL_atomic_list$'|)) (let ((_let_1 (|tptp.'lex$'| A__questionmark_v0))) (let ((_let_2 (|tptp.'append$'| A__questionmark_v1))) (=> (and (forall ((A__questionmark_v4 |tptp.'A_TESL_atomic$'|)) (not (|tptp.'member$i'| (|tptp.'pair$z'| A__questionmark_v4 A__questionmark_v4) A__questionmark_v0))) (|tptp.'member$h'| (|tptp.'pair$b'| (|tptp.'fun_app$e'| _let_2 A__questionmark_v2) (|tptp.'fun_app$e'| _let_2 A__questionmark_v3)) _let_1)) (|tptp.'member$h'| (|tptp.'pair$b'| A__questionmark_v2 A__questionmark_v3) _let_1))))) (forall ((A__questionmark_v0 |tptp.'A_TESL_atomic_list_a_TESL_atomic_list_prod_set$'|) (A__questionmark_v1 |tptp.'A_TESL_atomic_list_list$'|) (A__questionmark_v2 |tptp.'A_TESL_atomic_list_list$'|) (A__questionmark_v3 |tptp.'A_TESL_atomic_list_list$'|)) (let ((_let_1 (|tptp.'lex$a'| A__questionmark_v0))) (=> (and (forall ((A__questionmark_v4 |tptp.'A_TESL_atomic_list$'|)) (not (|tptp.'member$h'| (|tptp.'pair$b'| A__questionmark_v4 A__questionmark_v4) A__questionmark_v0))) (|tptp.'member$g'| (|tptp.'pair$c'| (|tptp.'append$a'| A__questionmark_v1 A__questionmark_v2) (|tptp.'append$a'| A__questionmark_v1 A__questionmark_v3)) _let_1)) (|tptp.'member$g'| (|tptp.'pair$c'| A__questionmark_v2 A__questionmark_v3) _let_1)))) (forall ((A__questionmark_v0 |tptp.'A_TESL_atomic_list$'|) (A__questionmark_v1 |tptp.'Nat$'|)) (= (= (|tptp.'fun_app$h'| |tptp.'of_nat$'| (|tptp.'fun_app$af'| |tptp.'size$'| A__questionmark_v0)) (+ (|tptp.'fun_app$h'| |tptp.'of_nat$'| A__questionmark_v1) 1)) (exists ((A__questionmark_v2 |tptp.'A_TESL_atomic$'|) (A__questionmark_v3 |tptp.'A_TESL_atomic_list$'|)) (and (= A__questionmark_v0 (|tptp.'fun_app$e'| (|tptp.'append$'| A__questionmark_v3) (|tptp.'fun_app$e'| (|tptp.'cons$'| A__questionmark_v2) |tptp.'nil$'|))) (= (|tptp.'fun_app$h'| |tptp.'of_nat$'| (|tptp.'fun_app$af'| |tptp.'size$'| A__questionmark_v3)) (|tptp.'fun_app$h'| |tptp.'of_nat$'| A__questionmark_v1)))))) (forall ((A__questionmark_v0 |tptp.'A_TESL_atomic$'|) (A__questionmark_v1 |tptp.'A_TESL_atomic_list$'|)) (=> (not (|tptp.'member$b'| A__questionmark_v0 (|tptp.'set$a'| A__questionmark_v1))) (= (|tptp.'fun_app$e'| (|tptp.'insert$a'| A__questionmark_v0) A__questionmark_v1) (|tptp.'fun_app$e'| (|tptp.'cons$'| A__questionmark_v0) A__questionmark_v1)))) (forall ((A__questionmark_v0 |tptp.'A_TESL_atomic_list$'|) (A__questionmark_v1 |tptp.'A_TESL_atomic_list_list$'|) (A__questionmark_v2 |tptp.'A_TESL_atomic_list$'|) (A__questionmark_v3 |tptp.'A_TESL_atomic_list_list$'|) (A__questionmark_v4 |tptp.'A_TESL_atomic_list_a_TESL_atomic_list_prod_set$'|)) (let ((_let_1 (|tptp.'lex$a'| A__questionmark_v4))) (= (|tptp.'member$g'| (|tptp.'pair$c'| (|tptp.'cons$c'| A__questionmark_v0 A__questionmark_v1) (|tptp.'cons$c'| A__questionmark_v2 A__questionmark_v3)) _let_1) (or (and (|tptp.'member$h'| (|tptp.'pair$b'| A__questionmark_v0 A__questionmark_v2) A__questionmark_v4) (= (|tptp.'fun_app$h'| |tptp.'of_nat$'| (|tptp.'size$a'| A__questionmark_v1)) (|tptp.'fun_app$h'| |tptp.'of_nat$'| (|tptp.'size$a'| A__questionmark_v3)))) (and (= A__questionmark_v0 A__questionmark_v2) (|tptp.'member$g'| (|tptp.'pair$c'| A__questionmark_v1 A__questionmark_v3) _let_1)))))) (forall ((A__questionmark_v0 |tptp.'A_TESL_atomic$'|) (A__questionmark_v1 |tptp.'A_TESL_atomic_list$'|) (A__questionmark_v2 |tptp.'A_TESL_atomic$'|) (A__questionmark_v3 |tptp.'A_TESL_atomic_list$'|) (A__questionmark_v4 |tptp.'A_TESL_atomic_a_TESL_atomic_prod_set$'|)) (let ((_let_1 (|tptp.'lex$'| A__questionmark_v4))) (= (|tptp.'member$h'| (|tptp.'pair$b'| (|tptp.'fun_app$e'| (|tptp.'cons$'| A__questionmark_v0) A__questionmark_v1) (|tptp.'fun_app$e'| (|tptp.'cons$'| A__questionmark_v2) A__questionmark_v3)) _let_1) (or (and (|tptp.'member$i'| (|tptp.'pair$z'| A__questionmark_v0 A__questionmark_v2) A__questionmark_v4) (= (|tptp.'fun_app$h'| |tptp.'of_nat$'| (|tptp.'fun_app$af'| |tptp.'size$'| A__questionmark_v1)) (|tptp.'fun_app$h'| |tptp.'of_nat$'| (|tptp.'fun_app$af'| |tptp.'size$'| A__questionmark_v3)))) (and (= A__questionmark_v0 A__questionmark_v2) (|tptp.'member$h'| (|tptp.'pair$b'| A__questionmark_v1 A__questionmark_v3) _let_1)))))) (forall ((A__questionmark_v0 |tptp.'A_TESL_atomic$'|) (A__questionmark_v1 |tptp.'A_TESL_atomic$'|) (A__questionmark_v2 |tptp.'A_TESL_atomic_list$'|)) (=> (|tptp.'member$b'| A__questionmark_v0 (|tptp.'set$a'| (|tptp.'fun_app$e'| (|tptp.'cons$'| A__questionmark_v1) A__questionmark_v2))) (or (= A__questionmark_v0 A__questionmark_v1) (|tptp.'member$b'| A__questionmark_v0 (|tptp.'set$a'| A__questionmark_v2))))) (forall ((A__questionmark_v0 |tptp.'A_TESL_atomic$'|) (A__questionmark_v1 |tptp.'A_TESL_atomic_list$'|)) (=> (and (|tptp.'member$b'| A__questionmark_v0 (|tptp.'set$a'| A__questionmark_v1)) (forall ((A__questionmark_v2 |tptp.'A_TESL_atomic_list$'|)) (=> (= A__questionmark_v1 (|tptp.'fun_app$e'| (|tptp.'cons$'| A__questionmark_v0) A__questionmark_v2)) false)) (forall ((A__questionmark_v2 |tptp.'A_TESL_atomic$'|) (A__questionmark_v3 |tptp.'A_TESL_atomic_list$'|)) (=> (and (= A__questionmark_v1 (|tptp.'fun_app$e'| (|tptp.'cons$'| A__questionmark_v2) A__questionmark_v3)) (|tptp.'member$b'| A__questionmark_v0 (|tptp.'set$a'| A__questionmark_v3))) false))) false)) (forall ((A__questionmark_v0 |tptp.'A_TESL_atomic$'|) (A__questionmark_v1 |tptp.'A_TESL_atomic_list$'|)) (|tptp.'member$b'| A__questionmark_v0 (|tptp.'set$a'| (|tptp.'fun_app$e'| (|tptp.'cons$'| A__questionmark_v0) A__questionmark_v1)))) (forall ((A__questionmark_v0 |tptp.'A_TESL_atomic$'|) (A__questionmark_v1 |tptp.'A_TESL_atomic_list$'|) (A__questionmark_v2 |tptp.'A_TESL_atomic$'|)) (=> (|tptp.'member$b'| A__questionmark_v0 (|tptp.'set$a'| A__questionmark_v1)) (|tptp.'member$b'| A__questionmark_v0 (|tptp.'set$a'| (|tptp.'fun_app$e'| (|tptp.'cons$'| A__questionmark_v2) A__questionmark_v1))))) (forall ((A__questionmark_v0 |tptp.'A_TESL_atomic_list$'|) (A__questionmark_v1 |tptp.'A_TESL_atomic_list$'|) (A__questionmark_v2 |tptp.'A_TESL_atomic_a_TESL_atomic_prod_set$'|) (A__questionmark_v3 |tptp.'A_TESL_atomic_list$'|) (A__questionmark_v4 |tptp.'A_TESL_atomic_list$'|)) (let ((_let_1 (|tptp.'lex$'| A__questionmark_v2))) (=> (and (|tptp.'member$h'| (|tptp.'pair$b'| A__questionmark_v0 A__questionmark_v1) _let_1) (= (|tptp.'fun_app$h'| |tptp.'of_nat$'| (|tptp.'fun_app$af'| |tptp.'size$'| A__questionmark_v3)) (|tptp.'fun_app$h'| |tptp.'of_nat$'| (|tptp.'fun_app$af'| |tptp.'size$'| A__questionmark_v4)))) (|tptp.'member$h'| (|tptp.'pair$b'| (|tptp.'fun_app$e'| (|tptp.'append$'| A__questionmark_v0) A__questionmark_v4) (|tptp.'fun_app$e'| (|tptp.'append$'| A__questionmark_v1) A__questionmark_v3)) _let_1)))) (forall ((A__questionmark_v0 |tptp.'A_TESL_atomic_list$'|) (A__questionmark_v1 |tptp.'A_TESL_atomic_list$'|) (A__questionmark_v2 |tptp.'A_TESL_atomic_a_TESL_atomic_prod_set$'|)) (let ((_let_1 (|tptp.'pair$b'| A__questionmark_v0 A__questionmark_v1))) (= (|tptp.'member$h'| _let_1 (|tptp.'lex$'| A__questionmark_v2)) (and (|tptp.'member$h'| _let_1 (|tptp.'lexord$'| A__questionmark_v2)) (= (|tptp.'fun_app$h'| |tptp.'of_nat$'| (|tptp.'fun_app$af'| |tptp.'size$'| A__questionmark_v0)) (|tptp.'fun_app$h'| |tptp.'of_nat$'| (|tptp.'fun_app$af'| |tptp.'size$'| A__questionmark_v1))))))) (forall ((A__questionmark_v0 |tptp.'A_constr_list$'|) (A__questionmark_v1 |tptp.'A_constr_list$'|)) (=> (= (|tptp.'set$b'| A__questionmark_v0) (|tptp.'set$b'| A__questionmark_v1)) (= (|tptp.'symbolic_run_interpretation$'| A__questionmark_v0) (|tptp.'symbolic_run_interpretation$'| A__questionmark_v1)))) (forall ((A__questionmark_v0 |tptp.'A_constr$'|) (A__questionmark_v1 |tptp.'A_constr_list$'|)) (=> (|tptp.'member$j'| A__questionmark_v0 (|tptp.'set$b'| A__questionmark_v1)) (= (|tptp.'symbolic_run_interpretation$'| (|tptp.'cons$k'| A__questionmark_v0 A__questionmark_v1)) (|tptp.'symbolic_run_interpretation$'| A__questionmark_v1)))) (forall ((A__questionmark_v0 |tptp.'Nat$'|) (A__questionmark_v1 |tptp.'A_TESL_atomic_list$'|)) (= (= (+ (|tptp.'fun_app$h'| |tptp.'of_nat$'| A__questionmark_v0) 1) (|tptp.'fun_app$h'| |tptp.'of_nat$'| (|tptp.'fun_app$af'| |tptp.'size$'| A__questionmark_v1))) (exists ((A__questionmark_v2 |tptp.'A_TESL_atomic$'|) (A__questionmark_v3 |tptp.'A_TESL_atomic_list$'|)) (and (= A__questionmark_v1 (|tptp.'fun_app$e'| (|tptp.'cons$'| A__questionmark_v2) A__questionmark_v3)) (= (|tptp.'fun_app$h'| |tptp.'of_nat$'| (|tptp.'fun_app$af'| |tptp.'size$'| A__questionmark_v3)) (|tptp.'fun_app$h'| |tptp.'of_nat$'| A__questionmark_v0)))))) (forall ((A__questionmark_v0 |tptp.'A_TESL_atomic_list$'|) (A__questionmark_v1 |tptp.'Nat$'|)) (= (= (|tptp.'fun_app$h'| |tptp.'of_nat$'| (|tptp.'fun_app$af'| |tptp.'size$'| A__questionmark_v0)) (+ (|tptp.'fun_app$h'| |tptp.'of_nat$'| A__questionmark_v1) 1)) (exists ((A__questionmark_v2 |tptp.'A_TESL_atomic$'|) (A__questionmark_v3 |tptp.'A_TESL_atomic_list$'|)) (and (= A__questionmark_v0 (|tptp.'fun_app$e'| (|tptp.'cons$'| A__questionmark_v2) A__questionmark_v3)) (= (|tptp.'fun_app$h'| |tptp.'of_nat$'| (|tptp.'fun_app$af'| |tptp.'size$'| A__questionmark_v3)) (|tptp.'fun_app$h'| |tptp.'of_nat$'| A__questionmark_v1)))))) (forall ((A__questionmark_v0 |tptp.'A_TESL_atomic_list$'|) (A__questionmark_v1 |tptp.'A_TESL_atomic_list$'|) (A__questionmark_v2 |tptp.'A_TESL_atomic_list$'|) (A__questionmark_v3 |tptp.'A_TESL_atomic_list_a_TESL_atomic_list_a_TESL_atomic_list_bool_fun_fun_fun$'|)) (let ((_let_1 (|tptp.'fun_app$h'| |tptp.'of_nat$'| (|tptp.'fun_app$af'| |tptp.'size$'| A__questionmark_v1)))) (=> (and (= (|tptp.'fun_app$h'| |tptp.'of_nat$'| (|tptp.'fun_app$af'| |tptp.'size$'| A__questionmark_v0)) _let_1) (= _let_1 (|tptp.'fun_app$h'| |tptp.'of_nat$'| (|tptp.'fun_app$af'| |tptp.'size$'| A__questionmark_v2))) (|tptp.'fun_app$c'| (|tptp.'fun_app$q'| (|tptp.'fun_app$ah'| A__questionmark_v3 |tptp.'nil$'|) |tptp.'nil$'|) |tptp.'nil$'|) (forall ((A__questionmark_v4 |tptp.'A_TESL_atomic$'|) (A__questionmark_v5 |tptp.'A_TESL_atomic_list$'|) (A__questionmark_v6 |tptp.'A_TESL_atomic$'|) (A__questionmark_v7 |tptp.'A_TESL_atomic_list$'|) (A__questionmark_v8 |tptp.'A_TESL_atomic$'|) (A__questionmark_v9 |tptp.'A_TESL_atomic_list$'|)) (let ((_let_1 (|tptp.'fun_app$h'| |tptp.'of_nat$'| (|tptp.'fun_app$af'| |tptp.'size$'| A__questionmark_v7)))) (=> (and (= (|tptp.'fun_app$h'| |tptp.'of_nat$'| (|tptp.'fun_app$af'| |tptp.'size$'| A__questionmark_v5)) _let_1) (= _let_1 (|tptp.'fun_app$h'| |tptp.'of_nat$'| (|tptp.'fun_app$af'| |tptp.'size$'| A__questionmark_v9))) (|tptp.'fun_app$c'| (|tptp.'fun_app$q'| (|tptp.'fun_app$ah'| A__questionmark_v3 A__questionmark_v5) A__questionmark_v7) A__questionmark_v9)) (|tptp.'fun_app$c'| (|tptp.'fun_app$q'| (|tptp.'fun_app$ah'| A__questionmark_v3 (|tptp.'fun_app$e'| (|tptp.'cons$'| A__questionmark_v4) A__questionmark_v5)) (|tptp.'fun_app$e'| (|tptp.'cons$'| A__questionmark_v6) A__questionmark_v7)) (|tptp.'fun_app$e'| (|tptp.'cons$'| A__questionmark_v8) A__questionmark_v9)))))) (|tptp.'fun_app$c'| (|tptp.'fun_app$q'| (|tptp.'fun_app$ah'| A__questionmark_v3 A__questionmark_v0) A__questionmark_v1) A__questionmark_v2)))) (forall ((A__questionmark_v0 |tptp.'A_TESL_atomic_list$'|) (A__questionmark_v1 |tptp.'A_TESL_atomic_list$'|) (A__questionmark_v2 |tptp.'A_TESL_atomic_list_a_TESL_atomic_list_bool_fun_fun$'|)) (=> (and (= (|tptp.'fun_app$h'| |tptp.'of_nat$'| (|tptp.'fun_app$af'| |tptp.'size$'| A__questionmark_v0)) (|tptp.'fun_app$h'| |tptp.'of_nat$'| (|tptp.'fun_app$af'| |tptp.'size$'| A__questionmark_v1))) (|tptp.'fun_app$c'| (|tptp.'fun_app$q'| A__questionmark_v2 |tptp.'nil$'|) |tptp.'nil$'|) (forall ((A__questionmark_v3 |tptp.'A_TESL_atomic$'|) (A__questionmark_v4 |tptp.'A_TESL_atomic_list$'|) (A__questionmark_v5 |tptp.'A_TESL_atomic$'|) (A__questionmark_v6 |tptp.'A_TESL_atomic_list$'|)) (=> (and (= (|tptp.'fun_app$h'| |tptp.'of_nat$'| (|tptp.'fun_app$af'| |tptp.'size$'| A__questionmark_v4)) (|tptp.'fun_app$h'| |tptp.'of_nat$'| (|tptp.'fun_app$af'| |tptp.'size$'| A__questionmark_v6))) (|tptp.'fun_app$c'| (|tptp.'fun_app$q'| A__questionmark_v2 A__questionmark_v4) A__questionmark_v6)) (|tptp.'fun_app$c'| (|tptp.'fun_app$q'| A__questionmark_v2 (|tptp.'fun_app$e'| (|tptp.'cons$'| A__questionmark_v3) A__questionmark_v4)) (|tptp.'fun_app$e'| (|tptp.'cons$'| A__questionmark_v5) A__questionmark_v6))))) (|tptp.'fun_app$c'| (|tptp.'fun_app$q'| A__questionmark_v2 A__questionmark_v0) A__questionmark_v1))) (forall ((A__questionmark_v0 |tptp.'A_TESL_atomic_list$'|) (A__questionmark_v1 |tptp.'A_TESL_atomic_bool_fun$'|)) (= (exists ((A__questionmark_v2 |tptp.'A_TESL_atomic$'|)) (and (|tptp.'member$b'| A__questionmark_v2 (|tptp.'set$a'| A__questionmark_v0)) (|tptp.'fun_app$b'| A__questionmark_v1 A__questionmark_v2))) (exists ((A__questionmark_v2 |tptp.'A_TESL_atomic_list$'|) (A__questionmark_v3 |tptp.'A_TESL_atomic$'|) (A__questionmark_v4 |tptp.'A_TESL_atomic_list$'|)) (and (= A__questionmark_v0 (|tptp.'fun_app$e'| (|tptp.'append$'| A__questionmark_v2) (|tptp.'fun_app$e'| (|tptp.'cons$'| A__questionmark_v3) A__questionmark_v4))) (|tptp.'fun_app$b'| A__questionmark_v1 A__questionmark_v3) (forall ((A__questionmark_v5 |tptp.'A_TESL_atomic$'|)) (=> (|tptp.'member$b'| A__questionmark_v5 (|tptp.'set$a'| A__questionmark_v2)) (not (|tptp.'fun_app$b'| A__questionmark_v1 A__questionmark_v5)))))))) (forall ((A__questionmark_v0 |tptp.'A_TESL_atomic_list$'|) (A__questionmark_v1 |tptp.'A_TESL_atomic_bool_fun$'|)) (= (exists ((A__questionmark_v2 |tptp.'A_TESL_atomic$'|)) (and (|tptp.'member$b'| A__questionmark_v2 (|tptp.'set$a'| A__questionmark_v0)) (|tptp.'fun_app$b'| A__questionmark_v1 A__questionmark_v2))) (exists ((A__questionmark_v2 |tptp.'A_TESL_atomic_list$'|) (A__questionmark_v3 |tptp.'A_TESL_atomic$'|) (A__questionmark_v4 |tptp.'A_TESL_atomic_list$'|)) (and (= A__questionmark_v0 (|tptp.'fun_app$e'| (|tptp.'append$'| A__questionmark_v2) (|tptp.'fun_app$e'| (|tptp.'cons$'| A__questionmark_v3) A__questionmark_v4))) (|tptp.'fun_app$b'| A__questionmark_v1 A__questionmark_v3) (forall ((A__questionmark_v5 |tptp.'A_TESL_atomic$'|)) (=> (|tptp.'member$b'| A__questionmark_v5 (|tptp.'set$a'| A__questionmark_v4)) (not (|tptp.'fun_app$b'| A__questionmark_v1 A__questionmark_v5)))))))) (forall ((A__questionmark_v0 |tptp.'A_TESL_atomic$'|) (A__questionmark_v1 |tptp.'A_TESL_atomic_list$'|)) (= (|tptp.'member$b'| A__questionmark_v0 (|tptp.'set$a'| A__questionmark_v1)) (exists ((A__questionmark_v2 |tptp.'A_TESL_atomic_list$'|) (A__questionmark_v3 |tptp.'A_TESL_atomic_list$'|)) (and (= A__questionmark_v1 (|tptp.'fun_app$e'| (|tptp.'append$'| A__questionmark_v2) (|tptp.'fun_app$e'| (|tptp.'cons$'| A__questionmark_v0) A__questionmark_v3))) (not (|tptp.'member$b'| A__questionmark_v0 (|tptp.'set$a'| A__questionmark_v2))))))) (forall ((A__questionmark_v0 |tptp.'A_TESL_atomic$'|) (A__questionmark_v1 |tptp.'A_TESL_atomic_list$'|)) (= (|tptp.'member$b'| A__questionmark_v0 (|tptp.'set$a'| A__questionmark_v1)) (exists ((A__questionmark_v2 |tptp.'A_TESL_atomic_list$'|) (A__questionmark_v3 |tptp.'A_TESL_atomic_list$'|)) (and (= A__questionmark_v1 (|tptp.'fun_app$e'| (|tptp.'append$'| A__questionmark_v2) (|tptp.'fun_app$e'| (|tptp.'cons$'| A__questionmark_v0) A__questionmark_v3))) (not (|tptp.'member$b'| A__questionmark_v0 (|tptp.'set$a'| A__questionmark_v3))))))) (forall ((A__questionmark_v0 |tptp.'A_TESL_atomic_list$'|) (A__questionmark_v1 |tptp.'A_TESL_atomic_bool_fun$'|)) (=> (and (exists ((A__questionmark_v2 |tptp.'A_TESL_atomic$'|)) (and (|tptp.'member$b'| A__questionmark_v2 (|tptp.'set$a'| A__questionmark_v0)) (|tptp.'fun_app$b'| A__questionmark_v1 A__questionmark_v2))) (forall ((A__questionmark_v2 |tptp.'A_TESL_atomic_list$'|) (A__questionmark_v3 |tptp.'A_TESL_atomic$'|) (A__questionmark_v4 |tptp.'A_TESL_atomic_list$'|)) (=> (and (= A__questionmark_v0 (|tptp.'fun_app$e'| (|tptp.'append$'| A__questionmark_v2) (|tptp.'fun_app$e'| (|tptp.'cons$'| A__questionmark_v3) A__questionmark_v4))) (|tptp.'fun_app$b'| A__questionmark_v1 A__questionmark_v3) (forall ((A__questionmark_v5 |tptp.'A_TESL_atomic$'|)) (=> (|tptp.'member$b'| A__questionmark_v5 (|tptp.'set$a'| A__questionmark_v2)) (not (|tptp.'fun_app$b'| A__questionmark_v1 A__questionmark_v5))))) false))) false)) (forall ((A__questionmark_v0 |tptp.'A_TESL_atomic_list$'|) (A__questionmark_v1 |tptp.'A_TESL_atomic_bool_fun$'|)) (=> (and (exists ((A__questionmark_v2 |tptp.'A_TESL_atomic$'|)) (and (|tptp.'member$b'| A__questionmark_v2 (|tptp.'set$a'| A__questionmark_v0)) (|tptp.'fun_app$b'| A__questionmark_v1 A__questionmark_v2))) (forall ((A__questionmark_v2 |tptp.'A_TESL_atomic_list$'|) (A__questionmark_v3 |tptp.'A_TESL_atomic$'|) (A__questionmark_v4 |tptp.'A_TESL_atomic_list$'|)) (=> (and (= A__questionmark_v0 (|tptp.'fun_app$e'| (|tptp.'append$'| A__questionmark_v2) (|tptp.'fun_app$e'| (|tptp.'cons$'| A__questionmark_v3) A__questionmark_v4))) (|tptp.'fun_app$b'| A__questionmark_v1 A__questionmark_v3) (forall ((A__questionmark_v5 |tptp.'A_TESL_atomic$'|)) (=> (|tptp.'member$b'| A__questionmark_v5 (|tptp.'set$a'| A__questionmark_v4)) (not (|tptp.'fun_app$b'| A__questionmark_v1 A__questionmark_v5))))) false))) false)) (forall ((A__questionmark_v0 |tptp.'A_TESL_atomic_list$'|) (A__questionmark_v1 |tptp.'A_TESL_atomic_bool_fun$'|)) (=> (exists ((A__questionmark_v2 |tptp.'A_TESL_atomic$'|)) (and (|tptp.'member$b'| A__questionmark_v2 (|tptp.'set$a'| A__questionmark_v0)) (|tptp.'fun_app$b'| A__questionmark_v1 A__questionmark_v2))) (exists ((A__questionmark_v2 |tptp.'A_TESL_atomic_list$'|) (A__questionmark_v3 |tptp.'A_TESL_atomic$'|) (A__questionmark_v4 |tptp.'A_TESL_atomic_list$'|)) (and (= A__questionmark_v0 (|tptp.'fun_app$e'| (|tptp.'append$'| A__questionmark_v2) (|tptp.'fun_app$e'| (|tptp.'cons$'| A__questionmark_v3) A__questionmark_v4))) (|tptp.'fun_app$b'| A__questionmark_v1 A__questionmark_v3) (forall ((A__questionmark_v5 |tptp.'A_TESL_atomic$'|)) (=> (|tptp.'member$b'| A__questionmark_v5 (|tptp.'set$a'| A__questionmark_v2)) (not (|tptp.'fun_app$b'| A__questionmark_v1 A__questionmark_v5)))))))) (forall ((A__questionmark_v0 |tptp.'A_TESL_atomic_list$'|) (A__questionmark_v1 |tptp.'A_TESL_atomic_bool_fun$'|)) (=> (exists ((A__questionmark_v2 |tptp.'A_TESL_atomic$'|)) (and (|tptp.'member$b'| A__questionmark_v2 (|tptp.'set$a'| A__questionmark_v0)) (|tptp.'fun_app$b'| A__questionmark_v1 A__questionmark_v2))) (exists ((A__questionmark_v2 |tptp.'A_TESL_atomic_list$'|) (A__questionmark_v3 |tptp.'A_TESL_atomic$'|) (A__questionmark_v4 |tptp.'A_TESL_atomic_list$'|)) (and (= A__questionmark_v0 (|tptp.'fun_app$e'| (|tptp.'append$'| A__questionmark_v2) (|tptp.'fun_app$e'| (|tptp.'cons$'| A__questionmark_v3) A__questionmark_v4))) (|tptp.'fun_app$b'| A__questionmark_v1 A__questionmark_v3) (forall ((A__questionmark_v5 |tptp.'A_TESL_atomic$'|)) (=> (|tptp.'member$b'| A__questionmark_v5 (|tptp.'set$a'| A__questionmark_v4)) (not (|tptp.'fun_app$b'| A__questionmark_v1 A__questionmark_v5)))))))) (forall ((A__questionmark_v0 |tptp.'A_TESL_atomic$'|) (A__questionmark_v1 |tptp.'A_TESL_atomic_list$'|)) (= (|tptp.'member$b'| A__questionmark_v0 (|tptp.'set$a'| A__questionmark_v1)) (exists ((A__questionmark_v2 |tptp.'A_TESL_atomic_list$'|) (A__questionmark_v3 |tptp.'A_TESL_atomic_list$'|)) (= A__questionmark_v1 (|tptp.'fun_app$e'| (|tptp.'append$'| A__questionmark_v2) (|tptp.'fun_app$e'| (|tptp.'cons$'| A__questionmark_v0) A__questionmark_v3)))))) (forall ((A__questionmark_v0 |tptp.'A_TESL_atomic$'|) (A__questionmark_v1 |tptp.'A_TESL_atomic_list$'|) (A__questionmark_v2 |tptp.'A_TESL_atomic_list$'|) (A__questionmark_v3 |tptp.'A_TESL_atomic_list$'|) (A__questionmark_v4 |tptp.'A_TESL_atomic_list$'|)) (let ((_let_1 (|tptp.'cons$'| A__questionmark_v0))) (=> (and (not (|tptp.'member$b'| A__questionmark_v0 (|tptp.'set$a'| A__questionmark_v1))) (not (|tptp.'member$b'| A__questionmark_v0 (|tptp.'set$a'| A__questionmark_v2)))) (= (= (|tptp.'fun_app$e'| (|tptp.'append$'| A__questionmark_v1) (|tptp.'fun_app$e'| _let_1 A__questionmark_v2)) (|tptp.'fun_app$e'| (|tptp.'append$'| A__questionmark_v3) (|tptp.'fun_app$e'| _let_1 A__questionmark_v4))) (and (= A__questionmark_v1 A__questionmark_v3) (= A__questionmark_v2 A__questionmark_v4)))))) (forall ((A__questionmark_v0 |tptp.'A_TESL_atomic_list$'|) (A__questionmark_v1 |tptp.'A_TESL_atomic_bool_fun$'|)) (=> (and (exists ((A__questionmark_v2 |tptp.'A_TESL_atomic$'|)) (and (|tptp.'member$b'| A__questionmark_v2 (|tptp.'set$a'| A__questionmark_v0)) (|tptp.'fun_app$b'| A__questionmark_v1 A__questionmark_v2))) (forall ((A__questionmark_v2 |tptp.'A_TESL_atomic_list$'|) (A__questionmark_v3 |tptp.'A_TESL_atomic$'|) (A__questionmark_v4 |tptp.'A_TESL_atomic_list$'|)) (=> (and (= A__questionmark_v0 (|tptp.'fun_app$e'| (|tptp.'append$'| A__questionmark_v2) (|tptp.'fun_app$e'| (|tptp.'cons$'| A__questionmark_v3) A__questionmark_v4))) (|tptp.'fun_app$b'| A__questionmark_v1 A__questionmark_v3)) false))) false)) (forall ((A__questionmark_v0 |tptp.'A_TESL_atomic$'|) (A__questionmark_v1 |tptp.'A_TESL_atomic_list$'|)) (=> (|tptp.'member$b'| A__questionmark_v0 (|tptp.'set$a'| A__questionmark_v1)) (exists ((A__questionmark_v2 |tptp.'A_TESL_atomic_list$'|) (A__questionmark_v3 |tptp.'A_TESL_atomic_list$'|)) (and (= A__questionmark_v1 (|tptp.'fun_app$e'| (|tptp.'append$'| A__questionmark_v2) (|tptp.'fun_app$e'| (|tptp.'cons$'| A__questionmark_v0) A__questionmark_v3))) (not (|tptp.'member$b'| A__questionmark_v0 (|tptp.'set$a'| A__questionmark_v2))))))) (forall ((A__questionmark_v0 |tptp.'A_TESL_atomic_list$'|) (A__questionmark_v1 |tptp.'A_TESL_atomic_bool_fun$'|)) (=> (exists ((A__questionmark_v2 |tptp.'A_TESL_atomic$'|)) (and (|tptp.'member$b'| A__questionmark_v2 (|tptp.'set$a'| A__questionmark_v0)) (|tptp.'fun_app$b'| A__questionmark_v1 A__questionmark_v2))) (exists ((A__questionmark_v2 |tptp.'A_TESL_atomic_list$'|) (A__questionmark_v3 |tptp.'A_TESL_atomic$'|) (A__questionmark_v4 |tptp.'A_TESL_atomic_list$'|)) (and (= A__questionmark_v0 (|tptp.'fun_app$e'| (|tptp.'append$'| A__questionmark_v2) (|tptp.'fun_app$e'| (|tptp.'cons$'| A__questionmark_v3) A__questionmark_v4))) (|tptp.'fun_app$b'| A__questionmark_v1 A__questionmark_v3))))) (forall ((A__questionmark_v0 |tptp.'A_TESL_atomic$'|) (A__questionmark_v1 |tptp.'A_TESL_atomic_list$'|)) (=> (|tptp.'member$b'| A__questionmark_v0 (|tptp.'set$a'| A__questionmark_v1)) (exists ((A__questionmark_v2 |tptp.'A_TESL_atomic_list$'|) (A__questionmark_v3 |tptp.'A_TESL_atomic_list$'|)) (and (= A__questionmark_v1 (|tptp.'fun_app$e'| (|tptp.'append$'| A__questionmark_v2) (|tptp.'fun_app$e'| (|tptp.'cons$'| A__questionmark_v0) A__questionmark_v3))) (not (|tptp.'member$b'| A__questionmark_v0 (|tptp.'set$a'| A__questionmark_v3))))))) (forall ((A__questionmark_v0 |tptp.'A_TESL_atomic$'|) (A__questionmark_v1 |tptp.'A_TESL_atomic_list$'|)) (=> (|tptp.'member$b'| A__questionmark_v0 (|tptp.'set$a'| A__questionmark_v1)) (exists ((A__questionmark_v2 |tptp.'A_TESL_atomic_list$'|) (A__questionmark_v3 |tptp.'A_TESL_atomic_list$'|)) (= A__questionmark_v1 (|tptp.'fun_app$e'| (|tptp.'append$'| A__questionmark_v2) (|tptp.'fun_app$e'| (|tptp.'cons$'| A__questionmark_v0) A__questionmark_v3)))))) (forall ((A__questionmark_v0 |tptp.'A_TESL_atomic_list$'|) (A__questionmark_v1 |tptp.'A_TESL_atomic_list$'|) (A__questionmark_v2 |tptp.'A_TESL_atomic_a_TESL_atomic_prod_set$'|)) (=> (|tptp.'member$h'| (|tptp.'pair$b'| A__questionmark_v0 A__questionmark_v1) (|tptp.'listrel1$a'| A__questionmark_v2)) (= (|tptp.'fun_app$h'| |tptp.'of_nat$'| (|tptp.'fun_app$af'| |tptp.'size$'| A__questionmark_v0)) (|tptp.'fun_app$h'| |tptp.'of_nat$'| (|tptp.'fun_app$af'| |tptp.'size$'| A__questionmark_v1))))) (forall ((A__questionmark_v0 |tptp.'A_TESL_atomic_list$'|) (A__questionmark_v1 |tptp.'A_TESL_atomic_list$'|) (A__questionmark_v2 |tptp.'A_TESL_atomic_a_TESL_atomic_prod_set$'|)) (=> (|tptp.'member$h'| (|tptp.'pair$b'| A__questionmark_v0 A__questionmark_v1) (|tptp.'listrel$c'| A__questionmark_v2)) (= (|tptp.'fun_app$h'| |tptp.'of_nat$'| (|tptp.'fun_app$af'| |tptp.'size$'| A__questionmark_v0)) (|tptp.'fun_app$h'| |tptp.'of_nat$'| (|tptp.'fun_app$af'| |tptp.'size$'| A__questionmark_v1))))) (forall ((A__questionmark_v0 |tptp.'A_TESL_atomic$'|) (A__questionmark_v1 |tptp.'A_TESL_atomic_list$'|) (A__questionmark_v2 |tptp.'A_TESL_atomic_list$'|)) (let ((_let_1 (|tptp.'set$'| (|tptp.'subseqs$'| A__questionmark_v2)))) (=> (|tptp.'member$c'| (|tptp.'fun_app$e'| (|tptp.'cons$'| A__questionmark_v0) A__questionmark_v1) _let_1) (|tptp.'member$c'| A__questionmark_v1 _let_1)))) (forall ((A__questionmark_v0 |tptp.'A_TESL_atomic$'|) (A__questionmark_v1 |tptp.'A_TESL_atomic_list$'|)) (let ((_let_1 (|tptp.'fun_app$e'| (|tptp.'insert$a'| A__questionmark_v0) A__questionmark_v1))) (let ((_let_2 (|tptp.'member$b'| A__questionmark_v0 (|tptp.'set$a'| A__questionmark_v1)))) (and (=> _let_2 (= _let_1 A__questionmark_v1)) (=> (not _let_2) (= _let_1 (|tptp.'fun_app$e'| (|tptp.'cons$'| A__questionmark_v0) A__questionmark_v1))))))) (forall ((A__questionmark_v0 |tptp.'A_TESL_atomic_list$'|) (A__questionmark_v1 |tptp.'A_TESL_atomic_a_TESL_atomic_prod_set$'|)) (not (|tptp.'member$h'| (|tptp.'pair$b'| |tptp.'nil$'| A__questionmark_v0) (|tptp.'lex$'| A__questionmark_v1)))) (forall ((A__questionmark_v0 |tptp.'A_TESL_atomic_list$'|) (A__questionmark_v1 |tptp.'A_TESL_atomic_a_TESL_atomic_prod_set$'|)) (not (|tptp.'member$h'| (|tptp.'pair$b'| A__questionmark_v0 |tptp.'nil$'|) (|tptp.'lex$'| A__questionmark_v1)))) (forall ((A__questionmark_v0 |tptp.'A_TESL_atomic_list$'|) (A__questionmark_v1 |tptp.'A_TESL_atomic_list$'|) (A__questionmark_v2 |tptp.'A_TESL_atomic_a_TESL_atomic_prod_set$'|) (A__questionmark_v3 |tptp.'A_TESL_atomic_list$'|)) (let ((_let_1 (|tptp.'lex$'| A__questionmark_v2))) (let ((_let_2 (|tptp.'append$'| A__questionmark_v3))) (=> (|tptp.'member$h'| (|tptp.'pair$b'| A__questionmark_v0 A__questionmark_v1) _let_1) (|tptp.'member$h'| (|tptp.'pair$b'| (|tptp.'fun_app$e'| _let_2 A__questionmark_v0) (|tptp.'fun_app$e'| _let_2 A__questionmark_v1)) _let_1))))) (forall ((A__questionmark_v0 |tptp.'A_TESL_atomic_list$'|) (A__questionmark_v1 |tptp.'A_TESL_atomic_list$'|)) (=> (and (not (= A__questionmark_v0 A__questionmark_v1)) (= (|tptp.'fun_app$h'| |tptp.'of_nat$'| (|tptp.'fun_app$af'| |tptp.'size$'| A__questionmark_v0)) (|tptp.'fun_app$h'| |tptp.'of_nat$'| (|tptp.'fun_app$af'| |tptp.'size$'| A__questionmark_v1)))) (exists ((A__questionmark_v2 |tptp.'A_TESL_atomic_list$'|) (A__questionmark_v3 |tptp.'A_TESL_atomic$'|) (A__questionmark_v4 |tptp.'A_TESL_atomic_list$'|) (A__questionmark_v5 |tptp.'A_TESL_atomic$'|) (A__questionmark_v6 |tptp.'A_TESL_atomic_list$'|)) (let ((_let_1 (|tptp.'append$'| A__questionmark_v2))) (and (not (= A__questionmark_v3 A__questionmark_v5)) (= A__questionmark_v0 (|tptp.'fun_app$e'| _let_1 (|tptp.'fun_app$e'| (|tptp.'append$'| (|tptp.'fun_app$e'| (|tptp.'cons$'| A__questionmark_v3) |tptp.'nil$'|)) A__questionmark_v4))) (= A__questionmark_v1 (|tptp.'fun_app$e'| _let_1 (|tptp.'fun_app$e'| (|tptp.'append$'| (|tptp.'fun_app$e'| (|tptp.'cons$'| A__questionmark_v5) |tptp.'nil$'|)) A__questionmark_v6)))))))) (forall ((A__questionmark_v0 |tptp.'A_TESL_atomic_list$'|) (A__questionmark_v1 |tptp.'A_TESL_atomic_a_TESL_atomic_prod_set$'|) (A__questionmark_v2 |tptp.'A_TESL_atomic_list$'|) (A__questionmark_v3 |tptp.'A_TESL_atomic_list$'|)) (let ((_let_1 (|tptp.'lexord$'| A__questionmark_v1))) (=> (and (forall ((A__questionmark_v4 |tptp.'A_TESL_atomic$'|) (A__questionmark_v5 |tptp.'A_TESL_atomic$'|) (A__questionmark_v6 |tptp.'A_TESL_atomic$'|)) (=> (and (|tptp.'member$b'| A__questionmark_v4 (|tptp.'set$a'| A__questionmark_v0)) (|tptp.'member$i'| (|tptp.'pair$z'| A__questionmark_v4 A__questionmark_v5) A__questionmark_v1) (|tptp.'member$i'| (|tptp.'pair$z'| A__questionmark_v5 A__questionmark_v6) A__questionmark_v1)) (|tptp.'member$i'| (|tptp.'pair$z'| A__questionmark_v4 A__questionmark_v6) A__questionmark_v1))) (|tptp.'member$h'| (|tptp.'pair$b'| A__questionmark_v0 A__questionmark_v2) _let_1) (|tptp.'member$h'| (|tptp.'pair$b'| A__questionmark_v2 A__questionmark_v3) _let_1)) (|tptp.'member$h'| (|tptp.'pair$b'| A__questionmark_v0 A__questionmark_v3) _let_1)))) (forall ((A__questionmark_v0 |tptp.'A_TESL_atomic_list_list$'|) (A__questionmark_v1 |tptp.'A_TESL_atomic_list_a_TESL_atomic_list_prod_set$'|) (A__questionmark_v2 |tptp.'A_TESL_atomic_list_list$'|) (A__questionmark_v3 |tptp.'A_TESL_atomic_list_list$'|)) (let ((_let_1 (|tptp.'lexord$a'| A__questionmark_v1))) (=> (and (forall ((A__questionmark_v4 |tptp.'A_TESL_atomic_list$'|) (A__questionmark_v5 |tptp.'A_TESL_atomic_list$'|) (A__questionmark_v6 |tptp.'A_TESL_atomic_list$'|)) (=> (and (|tptp.'member$c'| A__questionmark_v4 (|tptp.'set$'| A__questionmark_v0)) (|tptp.'member$h'| (|tptp.'pair$b'| A__questionmark_v4 A__questionmark_v5) A__questionmark_v1) (|tptp.'member$h'| (|tptp.'pair$b'| A__questionmark_v5 A__questionmark_v6) A__questionmark_v1)) (|tptp.'member$h'| (|tptp.'pair$b'| A__questionmark_v4 A__questionmark_v6) A__questionmark_v1))) (|tptp.'member$g'| (|tptp.'pair$c'| A__questionmark_v0 A__questionmark_v2) _let_1) (|tptp.'member$g'| (|tptp.'pair$c'| A__questionmark_v2 A__questionmark_v3) _let_1)) (|tptp.'member$g'| (|tptp.'pair$c'| A__questionmark_v0 A__questionmark_v3) _let_1)))) (forall ((A__questionmark_v0 |tptp.'A_TESL_atomic_a_TESL_atomic_prod_set$'|) (A__questionmark_v1 |tptp.'A_TESL_atomic_list$'|)) (=> (|tptp.'irrefl$'| A__questionmark_v0) (not (|tptp.'member$h'| (|tptp.'pair$b'| A__questionmark_v1 A__questionmark_v1) (|tptp.'lex$'| A__questionmark_v0))))) (forall ((A__questionmark_v0 |tptp.'A_TESL_atomic_list$'|) (A__questionmark_v1 |tptp.'A_TESL_atomic_list$'|) (A__questionmark_v2 |tptp.'A_TESL_atomic_list$'|) (A__questionmark_v3 |tptp.'A_TESL_atomic_list$'|) (A__questionmark_v4 |tptp.'A_TESL_atomic_a_TESL_atomic_prod_set$'|)) (let ((_let_1 (|tptp.'lexord$'| A__questionmark_v4))) (=> (and (|tptp.'member$h'| (|tptp.'pair$b'| (|tptp.'fun_app$e'| (|tptp.'append$'| A__questionmark_v0) A__questionmark_v1) (|tptp.'fun_app$e'| (|tptp.'append$'| A__questionmark_v2) A__questionmark_v3)) _let_1) (not (= A__questionmark_v0 A__questionmark_v2)) (= (|tptp.'fun_app$h'| |tptp.'of_nat$'| (|tptp.'fun_app$af'| |tptp.'size$'| A__questionmark_v0)) (|tptp.'fun_app$h'| |tptp.'of_nat$'| (|tptp.'fun_app$af'| |tptp.'size$'| A__questionmark_v2))) (= (|tptp.'fun_app$h'| |tptp.'of_nat$'| (|tptp.'fun_app$af'| |tptp.'size$'| A__questionmark_v1)) (|tptp.'fun_app$h'| |tptp.'of_nat$'| (|tptp.'fun_app$af'| |tptp.'size$'| A__questionmark_v3)))) (|tptp.'member$h'| (|tptp.'pair$b'| A__questionmark_v0 A__questionmark_v2) _let_1)))) (forall ((A__questionmark_v0 |tptp.'A_TESL_atomic_list$'|) (A__questionmark_v1 |tptp.'A_TESL_atomic_list$'|) (A__questionmark_v2 |tptp.'A_TESL_atomic_a_TESL_atomic_prod_set$'|) (A__questionmark_v3 |tptp.'A_TESL_atomic_list$'|) (A__questionmark_v4 |tptp.'A_TESL_atomic_list$'|)) (let ((_let_1 (|tptp.'lenlex$'| A__questionmark_v2))) (=> (and (|tptp.'member$h'| (|tptp.'pair$b'| A__questionmark_v0 A__questionmark_v1) _let_1) (= (|tptp.'fun_app$h'| |tptp.'of_nat$'| (|tptp.'fun_app$af'| |tptp.'size$'| A__questionmark_v3)) (|tptp.'fun_app$h'| |tptp.'of_nat$'| (|tptp.'fun_app$af'| |tptp.'size$'| A__questionmark_v4)))) (|tptp.'member$h'| (|tptp.'pair$b'| (|tptp.'fun_app$e'| (|tptp.'append$'| A__questionmark_v0) A__questionmark_v3) (|tptp.'fun_app$e'| (|tptp.'append$'| A__questionmark_v1) A__questionmark_v4)) _let_1)))) (forall ((A__questionmark_v0 |tptp.'A_TESL_atomic_list$'|) (A__questionmark_v1 |tptp.'A_TESL_atomic$'|)) (= (|tptp.'fun_app$h'| |tptp.'of_nat$'| (|tptp.'fun_app$af'| |tptp.'size$'| (|tptp.'fun_app$e'| (|tptp.'append$'| A__questionmark_v0) (|tptp.'fun_app$e'| (|tptp.'cons$'| A__questionmark_v1) |tptp.'nil$'|)))) (+ (|tptp.'fun_app$h'| |tptp.'of_nat$'| (|tptp.'fun_app$af'| |tptp.'size$'| A__questionmark_v0)) 1))) (forall ((A__questionmark_v0 |tptp.'A_TESL_atomic$'|) (A__questionmark_v1 |tptp.'A_TESL_atomic_list$'|)) (= (|tptp.'fun_app$h'| |tptp.'of_nat$'| (|tptp.'fun_app$af'| |tptp.'size$'| (|tptp.'fun_app$e'| (|tptp.'cons$'| A__questionmark_v0) A__questionmark_v1))) (+ (|tptp.'fun_app$h'| |tptp.'of_nat$'| (|tptp.'fun_app$af'| |tptp.'size$'| A__questionmark_v1)) 1))) (forall ((A__questionmark_v0 |tptp.'A_TESL_atomic$'|)) (= (|tptp.'the_elem$'| (|tptp.'set$a'| (|tptp.'fun_app$e'| (|tptp.'cons$'| A__questionmark_v0) |tptp.'nil$'|))) A__questionmark_v0)) (forall ((A__questionmark_v0 |tptp.'A_TESL_atomic_list$'|) (A__questionmark_v1 |tptp.'A_TESL_atomic_list_list$'|) (A__questionmark_v2 |tptp.'A_TESL_atomic_list$'|) (A__questionmark_v3 |tptp.'A_TESL_atomic_list_list$'|) (A__questionmark_v4 |tptp.'A_TESL_atomic_list_a_TESL_atomic_list_prod_set$'|)) (let ((_let_1 (|tptp.'lenlex$a'| A__questionmark_v4))) (let ((_let_2 (|tptp.'fun_app$h'| |tptp.'of_nat$'| (|tptp.'size$a'| A__questionmark_v3)))) (let ((_let_3 (|tptp.'fun_app$h'| |tptp.'of_nat$'| (|tptp.'size$a'| A__questionmark_v1)))) (= (|tptp.'member$g'| (|tptp.'pair$c'| (|tptp.'cons$c'| A__questionmark_v0 A__questionmark_v1) (|tptp.'cons$c'| A__questionmark_v2 A__questionmark_v3)) _let_1) (or (< _let_3 _let_2) (and (= _let_3 _let_2) (|tptp.'member$h'| (|tptp.'pair$b'| A__questionmark_v0 A__questionmark_v2) A__questionmark_v4)) (and (= A__questionmark_v0 A__questionmark_v2) (|tptp.'member$g'| (|tptp.'pair$c'| A__questionmark_v1 A__questionmark_v3) _let_1)))))))) (forall ((A__questionmark_v0 |tptp.'A_TESL_atomic$'|) (A__questionmark_v1 |tptp.'A_TESL_atomic_list$'|) (A__questionmark_v2 |tptp.'A_TESL_atomic$'|) (A__questionmark_v3 |tptp.'A_TESL_atomic_list$'|) (A__questionmark_v4 |tptp.'A_TESL_atomic_a_TESL_atomic_prod_set$'|)) (let ((_let_1 (|tptp.'lenlex$'| A__questionmark_v4))) (let ((_let_2 (|tptp.'fun_app$h'| |tptp.'of_nat$'| (|tptp.'fun_app$af'| |tptp.'size$'| A__questionmark_v3)))) (let ((_let_3 (|tptp.'fun_app$h'| |tptp.'of_nat$'| (|tptp.'fun_app$af'| |tptp.'size$'| A__questionmark_v1)))) (= (|tptp.'member$h'| (|tptp.'pair$b'| (|tptp.'fun_app$e'| (|tptp.'cons$'| A__questionmark_v0) A__questionmark_v1) (|tptp.'fun_app$e'| (|tptp.'cons$'| A__questionmark_v2) A__questionmark_v3)) _let_1) (or (< _let_3 _let_2) (and (= _let_3 _let_2) (|tptp.'member$i'| (|tptp.'pair$z'| A__questionmark_v0 A__questionmark_v2) A__questionmark_v4)) (and (= A__questionmark_v0 A__questionmark_v2) (|tptp.'member$h'| (|tptp.'pair$b'| A__questionmark_v1 A__questionmark_v3) _let_1)))))))) (forall ((A__questionmark_v0 |tptp.'Nat$'|) (A__questionmark_v1 |tptp.'Nat$'|)) (let ((_let_1 (|tptp.'fun_app$h'| |tptp.'of_nat$'| A__questionmark_v1))) (let ((_let_2 (|tptp.'fun_app$h'| |tptp.'of_nat$'| A__questionmark_v0))) (= (< (+ _let_2 1) (+ _let_1 1)) (< _let_2 _let_1))))) (forall ((A__questionmark_v0 |tptp.'Nat$'|) (A__questionmark_v1 |tptp.'Nat$'|)) (let ((_let_1 (|tptp.'fun_app$h'| |tptp.'of_nat$'| A__questionmark_v1))) (let ((_let_2 (|tptp.'fun_app$h'| |tptp.'of_nat$'| A__questionmark_v0))) (=> (< _let_2 _let_1) (< (+ _let_2 1) (+ _let_1 1)))))) (forall ((A__questionmark_v0 |tptp.'Nat$'|)) (let ((_let_1 (|tptp.'fun_app$h'| |tptp.'of_nat$'| A__questionmark_v0))) (< _let_1 (+ _let_1 1)))) (forall ((A__questionmark_v0 |tptp.'A_run_set$'|) (A__questionmark_v1 |tptp.'A_run_set$'|) (A__questionmark_v2 |tptp.'A_run_set$'|)) (=> (|tptp.'less$'| A__questionmark_v0 A__questionmark_v1) (|tptp.'less$'| (|tptp.'fun_app$f'| (|tptp.'fun_app$g'| |tptp.'inf$'| A__questionmark_v0) A__questionmark_v2) A__questionmark_v1))) (forall ((A__questionmark_v0 Int) (A__questionmark_v1 Int) (A__questionmark_v2 Int)) (=> (< A__questionmark_v0 A__questionmark_v1) (< (|tptp.'fun_app$k'| (|tptp.'fun_app$j'| |tptp.'inf$e'| A__questionmark_v0) A__questionmark_v2) A__questionmark_v1))) (forall ((A__questionmark_v0 |tptp.'A_run_set$'|) (A__questionmark_v1 |tptp.'A_run_set$'|) (A__questionmark_v2 |tptp.'A_run_set$'|)) (=> (|tptp.'less$'| A__questionmark_v0 A__questionmark_v1) (|tptp.'less$'| (|tptp.'fun_app$f'| (|tptp.'fun_app$g'| |tptp.'inf$'| A__questionmark_v2) A__questionmark_v0) A__questionmark_v1))) (forall ((A__questionmark_v0 Int) (A__questionmark_v1 Int) (A__questionmark_v2 Int)) (=> (< A__questionmark_v0 A__questionmark_v1) (< (|tptp.'fun_app$k'| (|tptp.'fun_app$j'| |tptp.'inf$e'| A__questionmark_v2) A__questionmark_v0) A__questionmark_v1))) (forall ((A__questionmark_v0 |tptp.'A_run_set$'|) (A__questionmark_v1 |tptp.'A_run_set$'|)) (=> (|tptp.'less$'| A__questionmark_v0 A__questionmark_v1) (= (|tptp.'fun_app$f'| (|tptp.'fun_app$g'| |tptp.'inf$'| A__questionmark_v0) A__questionmark_v1) A__questionmark_v0))) (forall ((A__questionmark_v0 Int) (A__questionmark_v1 Int)) (=> (< A__questionmark_v0 A__questionmark_v1) (= (|tptp.'fun_app$k'| (|tptp.'fun_app$j'| |tptp.'inf$e'| A__questionmark_v0) A__questionmark_v1) A__questionmark_v0))) (forall ((A__questionmark_v0 |tptp.'A_run_set$'|) (A__questionmark_v1 |tptp.'A_run_set$'|)) (=> (|tptp.'less$'| A__questionmark_v0 A__questionmark_v1) (= (|tptp.'fun_app$f'| (|tptp.'fun_app$g'| |tptp.'inf$'| A__questionmark_v1) A__questionmark_v0) A__questionmark_v0))) (forall ((A__questionmark_v0 Int) (A__questionmark_v1 Int)) (=> (< A__questionmark_v0 A__questionmark_v1) (= (|tptp.'fun_app$k'| (|tptp.'fun_app$j'| |tptp.'inf$e'| A__questionmark_v1) A__questionmark_v0) A__questionmark_v0))) (forall ((A__questionmark_v0 |tptp.'A_run_set$'|) (A__questionmark_v1 |tptp.'A_run_set$'|) (A__questionmark_v2 |tptp.'A_run_set$'|)) (=> (and (|tptp.'less$'| A__questionmark_v0 (|tptp.'fun_app$f'| (|tptp.'fun_app$g'| |tptp.'inf$'| A__questionmark_v1) A__questionmark_v2)) (=> (and (|tptp.'less$'| A__questionmark_v0 A__questionmark_v1) (|tptp.'less$'| A__questionmark_v0 A__questionmark_v2)) false)) false)) (forall ((A__questionmark_v0 Int) (A__questionmark_v1 Int) (A__questionmark_v2 Int)) (=> (and (< A__questionmark_v0 (|tptp.'fun_app$k'| (|tptp.'fun_app$j'| |tptp.'inf$e'| A__questionmark_v1) A__questionmark_v2)) (=> (and (< A__questionmark_v0 A__questionmark_v1) (< A__questionmark_v0 A__questionmark_v2)) false)) false)) (forall ((A__questionmark_v0 |tptp.'A_run_set$'|) (A__questionmark_v1 |tptp.'A_run_set$'|)) (= (|tptp.'less$'| A__questionmark_v0 A__questionmark_v1) (and (= A__questionmark_v0 (|tptp.'fun_app$f'| (|tptp.'fun_app$g'| |tptp.'inf$'| A__questionmark_v0) A__questionmark_v1)) (not (= A__questionmark_v0 A__questionmark_v1))))) (forall ((A__questionmark_v0 Int) (A__questionmark_v1 Int)) (= (< A__questionmark_v0 A__questionmark_v1) (and (= A__questionmark_v0 (|tptp.'fun_app$k'| (|tptp.'fun_app$j'| |tptp.'inf$e'| A__questionmark_v0) A__questionmark_v1)) (not (= A__questionmark_v0 A__questionmark_v1))))) (forall ((A__questionmark_v0 |tptp.'A_run_set$'|) (A__questionmark_v1 |tptp.'A_run_set$'|) (A__questionmark_v2 |tptp.'A_run_set$'|)) (=> (|tptp.'less$'| A__questionmark_v0 A__questionmark_v1) (|tptp.'less$'| (|tptp.'fun_app$f'| (|tptp.'fun_app$g'| |tptp.'inf$'| A__questionmark_v0) A__questionmark_v2) A__questionmark_v1))) (forall ((A__questionmark_v0 Int) (A__questionmark_v1 Int) (A__questionmark_v2 Int)) (=> (< A__questionmark_v0 A__questionmark_v1) (< (|tptp.'fun_app$k'| (|tptp.'fun_app$j'| |tptp.'inf$e'| A__questionmark_v0) A__questionmark_v2) A__questionmark_v1))) (forall ((A__questionmark_v0 |tptp.'A_run_set$'|) (A__questionmark_v1 |tptp.'A_run_set$'|) (A__questionmark_v2 |tptp.'A_run_set$'|)) (=> (|tptp.'less$'| A__questionmark_v0 A__questionmark_v1) (|tptp.'less$'| (|tptp.'fun_app$f'| (|tptp.'fun_app$g'| |tptp.'inf$'| A__questionmark_v2) A__questionmark_v0) A__questionmark_v1))) (forall ((A__questionmark_v0 Int) (A__questionmark_v1 Int) (A__questionmark_v2 Int)) (=> (< A__questionmark_v0 A__questionmark_v1) (< (|tptp.'fun_app$k'| (|tptp.'fun_app$j'| |tptp.'inf$e'| A__questionmark_v2) A__questionmark_v0) A__questionmark_v1))) (forall ((A__questionmark_v0 |tptp.'Nat$'|) (A__questionmark_v1 |tptp.'Nat$'|)) (let ((_let_1 (|tptp.'fun_app$h'| |tptp.'of_nat$'| A__questionmark_v0))) (let ((_let_2 (|tptp.'fun_app$h'| |tptp.'of_nat$'| A__questionmark_v1))) (=> (and (< _let_1 _let_2) (=> (= _let_2 (+ _let_1 1)) false) (forall ((A__questionmark_v2 |tptp.'Nat$'|)) (let ((_let_1 (|tptp.'fun_app$h'| |tptp.'of_nat$'| A__questionmark_v2))) (=> (and (< (|tptp.'fun_app$h'| |tptp.'of_nat$'| A__questionmark_v0) _let_1) (= (|tptp.'fun_app$h'| |tptp.'of_nat$'| A__questionmark_v1) (+ _let_1 1))) false)))) false)))) (forall ((A__questionmark_v0 |tptp.'Nat$'|) (A__questionmark_v1 |tptp.'Nat$'|)) (let ((_let_1 (|tptp.'fun_app$h'| |tptp.'of_nat$'| A__questionmark_v1))) (let ((_let_2 (|tptp.'fun_app$h'| |tptp.'of_nat$'| A__questionmark_v0))) (=> (< (+ _let_2 1) _let_1) (< _let_2 _let_1))))) (forall ((A__questionmark_v0 |tptp.'Nat$'|) (A__questionmark_v1 |tptp.'Nat$'|)) (=> (and (< (+ (|tptp.'fun_app$h'| |tptp.'of_nat$'| A__questionmark_v0) 1) (|tptp.'fun_app$h'| |tptp.'of_nat$'| A__questionmark_v1)) (forall ((A__questionmark_v2 |tptp.'Nat$'|)) (let ((_let_1 (|tptp.'fun_app$h'| |tptp.'of_nat$'| A__questionmark_v2))) (=> (and (< (|tptp.'fun_app$h'| |tptp.'of_nat$'| A__questionmark_v0) _let_1) (= (|tptp.'fun_app$h'| |tptp.'of_nat$'| A__questionmark_v1) (+ _let_1 1))) false)))) false)) (forall ((A__questionmark_v0 |tptp.'Nat$'|) (A__questionmark_v1 |tptp.'Nat$'|)) (let ((_let_1 (|tptp.'fun_app$h'| |tptp.'of_nat$'| A__questionmark_v1))) (let ((_let_2 (|tptp.'fun_app$h'| |tptp.'of_nat$'| A__questionmark_v0))) (let ((_let_3 (+ _let_2 1))) (=> (and (< _let_2 _let_1) (not (= _let_3 _let_1))) (< _let_3 _let_1)))))) (forall ((A__questionmark_v0 |tptp.'Nat$'|) (A__questionmark_v1 |tptp.'Nat$'|)) (let ((_let_1 (|tptp.'fun_app$h'| |tptp.'of_nat$'| A__questionmark_v1))) (let ((_let_2 (|tptp.'fun_app$h'| |tptp.'of_nat$'| A__questionmark_v0))) (=> (and (< _let_2 (+ _let_1 1)) (=> (< _let_2 _let_1) false) (=> (= _let_2 _let_1) false)) false)))) (forall ((A__questionmark_v0 |tptp.'Nat$'|) (A__questionmark_v1 |tptp.'Nat$'|)) (let ((_let_1 (|tptp.'fun_app$h'| |tptp.'of_nat$'| A__questionmark_v1))) (let ((_let_2 (|tptp.'fun_app$h'| |tptp.'of_nat$'| A__questionmark_v0))) (=> (< _let_2 _let_1) (< _let_2 (+ _let_1 1)))))) (forall ((A__questionmark_v0 |tptp.'Nat$'|) (A__questionmark_v1 |tptp.'Nat_bool_fun$'|)) (= (exists ((A__questionmark_v2 |tptp.'Nat$'|)) (and (< (|tptp.'fun_app$h'| |tptp.'of_nat$'| A__questionmark_v2) (+ (|tptp.'fun_app$h'| |tptp.'of_nat$'| A__questionmark_v0) 1)) (|tptp.'fun_app$ai'| A__questionmark_v1 A__questionmark_v2))) (or (|tptp.'fun_app$ai'| A__questionmark_v1 A__questionmark_v0) (exists ((A__questionmark_v2 |tptp.'Nat$'|)) (and (< (|tptp.'fun_app$h'| |tptp.'of_nat$'| A__questionmark_v2) (|tptp.'fun_app$h'| |tptp.'of_nat$'| A__questionmark_v0)) (|tptp.'fun_app$ai'| A__questionmark_v1 A__questionmark_v2)))))) (forall ((A__questionmark_v0 |tptp.'Nat$'|) (A__questionmark_v1 |tptp.'Nat$'|)) (let ((_let_1 (|tptp.'fun_app$h'| |tptp.'of_nat$'| A__questionmark_v1))) (let ((_let_2 (|tptp.'fun_app$h'| |tptp.'of_nat$'| A__questionmark_v0))) (= (< _let_2 (+ _let_1 1)) (or (< _let_2 _let_1) (= _let_2 _let_1)))))) (forall ((A__questionmark_v0 |tptp.'Nat$'|) (A__questionmark_v1 |tptp.'Nat$'|)) (let ((_let_1 (|tptp.'fun_app$h'| |tptp.'of_nat$'| A__questionmark_v0))) (let ((_let_2 (|tptp.'fun_app$h'| |tptp.'of_nat$'| A__questionmark_v1))) (= (not (< _let_1 _let_2)) (< _let_2 (+ _let_1 1)))))) (forall ((A__questionmark_v0 |tptp.'Nat$'|) (A__questionmark_v1 |tptp.'Nat_bool_fun$'|)) (= (forall ((A__questionmark_v2 |tptp.'Nat$'|)) (=> (< (|tptp.'fun_app$h'| |tptp.'of_nat$'| A__questionmark_v2) (+ (|tptp.'fun_app$h'| |tptp.'of_nat$'| A__questionmark_v0) 1)) (|tptp.'fun_app$ai'| A__questionmark_v1 A__questionmark_v2))) (and (|tptp.'fun_app$ai'| A__questionmark_v1 A__questionmark_v0) (forall ((A__questionmark_v2 |tptp.'Nat$'|)) (=> (< (|tptp.'fun_app$h'| |tptp.'of_nat$'| A__questionmark_v2) (|tptp.'fun_app$h'| |tptp.'of_nat$'| A__questionmark_v0)) (|tptp.'fun_app$ai'| A__questionmark_v1 A__questionmark_v2)))))) (forall ((A__questionmark_v0 |tptp.'Nat$'|) (A__questionmark_v1 |tptp.'Nat$'|)) (= (< (+ (|tptp.'fun_app$h'| |tptp.'of_nat$'| A__questionmark_v0) 1) (|tptp.'fun_app$h'| |tptp.'of_nat$'| A__questionmark_v1)) (exists ((A__questionmark_v2 |tptp.'Nat$'|)) (let ((_let_1 (|tptp.'fun_app$h'| |tptp.'of_nat$'| A__questionmark_v2))) (and (= (|tptp.'fun_app$h'| |tptp.'of_nat$'| A__questionmark_v1) (+ _let_1 1)) (< (|tptp.'fun_app$h'| |tptp.'of_nat$'| A__questionmark_v0) _let_1)))))) (forall ((A__questionmark_v0 |tptp.'Nat$'|) (A__questionmark_v1 |tptp.'Nat$'|)) (let ((_let_1 (|tptp.'fun_app$h'| |tptp.'of_nat$'| A__questionmark_v0))) (let ((_let_2 (|tptp.'fun_app$h'| |tptp.'of_nat$'| A__questionmark_v1))) (=> (and (not (< _let_1 _let_2)) (< _let_1 (+ _let_2 1))) (= _let_2 _let_1))))) (forall ((A__questionmark_v0 |tptp.'Nat$'|) (A__questionmark_v1 |tptp.'Nat$'|)) (let ((_let_1 (|tptp.'fun_app$h'| |tptp.'of_nat$'| A__questionmark_v1))) (let ((_let_2 (|tptp.'fun_app$h'| |tptp.'of_nat$'| A__questionmark_v0))) (=> (< (+ _let_2 1) (+ _let_1 1)) (< _let_2 _let_1))))) (forall ((A__questionmark_v0 |tptp.'Nat$'|) (A__questionmark_v1 |tptp.'Nat$'|) (A__questionmark_v2 |tptp.'Nat$'|)) (let ((_let_1 (|tptp.'fun_app$h'| |tptp.'of_nat$'| A__questionmark_v2))) (let ((_let_2 (|tptp.'fun_app$h'| |tptp.'of_nat$'| A__questionmark_v0))) (let ((_let_3 (|tptp.'fun_app$h'| |tptp.'of_nat$'| A__questionmark_v1))) (=> (and (< _let_2 _let_3) (< _let_3 _let_1)) (< (+ _let_2 1) _let_1)))))) (forall ((A__questionmark_v0 |tptp.'Nat$'|) (A__questionmark_v1 |tptp.'Nat$'|) (A__questionmark_v2 |tptp.'Nat_nat_bool_fun_fun$'|)) (=> (and (< (|tptp.'fun_app$h'| |tptp.'of_nat$'| A__questionmark_v0) (|tptp.'fun_app$h'| |tptp.'of_nat$'| A__questionmark_v1)) (forall ((A__questionmark_v3 |tptp.'Nat$'|)) (|tptp.'fun_app$ai'| (|tptp.'fun_app$aj'| A__questionmark_v2 A__questionmark_v3) (|tptp.'nat$'| (+ (|tptp.'fun_app$h'| |tptp.'of_nat$'| A__questionmark_v3) 1)))) (forall ((A__questionmark_v3 |tptp.'Nat$'|) (A__questionmark_v4 |tptp.'Nat$'|) (A__questionmark_v5 |tptp.'Nat$'|)) (let ((_let_1 (|tptp.'fun_app$aj'| A__questionmark_v2 A__questionmark_v3))) (let ((_let_2 (|tptp.'fun_app$h'| |tptp.'of_nat$'| A__questionmark_v4))) (=> (and (< (|tptp.'fun_app$h'| |tptp.'of_nat$'| A__questionmark_v3) _let_2) (< _let_2 (|tptp.'fun_app$h'| |tptp.'of_nat$'| A__questionmark_v5)) (|tptp.'fun_app$ai'| _let_1 A__questionmark_v4) (|tptp.'fun_app$ai'| (|tptp.'fun_app$aj'| A__questionmark_v2 A__questionmark_v4) A__questionmark_v5)) (|tptp.'fun_app$ai'| _let_1 A__questionmark_v5)))))) (|tptp.'fun_app$ai'| (|tptp.'fun_app$aj'| A__questionmark_v2 A__questionmark_v0) A__questionmark_v1))) (forall ((A__questionmark_v0 |tptp.'Nat$'|) (A__questionmark_v1 |tptp.'Nat$'|) (A__questionmark_v2 |tptp.'Nat_bool_fun$'|)) (=> (and (< (|tptp.'fun_app$h'| |tptp.'of_nat$'| A__questionmark_v0) (|tptp.'fun_app$h'| |tptp.'of_nat$'| A__questionmark_v1)) (forall ((A__questionmark_v3 |tptp.'Nat$'|)) (=> (= (|tptp.'fun_app$h'| |tptp.'of_nat$'| A__questionmark_v1) (+ (|tptp.'fun_app$h'| |tptp.'of_nat$'| A__questionmark_v3) 1)) (|tptp.'fun_app$ai'| A__questionmark_v2 A__questionmark_v3))) (forall ((A__questionmark_v3 |tptp.'Nat$'|)) (let ((_let_1 (|tptp.'fun_app$h'| |tptp.'of_nat$'| A__questionmark_v3))) (=> (and (< _let_1 (|tptp.'fun_app$h'| |tptp.'of_nat$'| A__questionmark_v1)) (|tptp.'fun_app$ai'| A__questionmark_v2 (|tptp.'nat$'| (+ _let_1 1)))) (|tptp.'fun_app$ai'| A__questionmark_v2 A__questionmark_v3))))) (|tptp.'fun_app$ai'| A__questionmark_v2 A__questionmark_v0))) (forall ((A__questionmark_v0 |tptp.'Nat$'|) (A__questionmark_v1 |tptp.'Nat$'|)) (let ((_let_1 (|tptp.'fun_app$h'| |tptp.'of_nat$'| A__questionmark_v1))) (let ((_let_2 (|tptp.'fun_app$h'| |tptp.'of_nat$'| A__questionmark_v0))) (=> (not (< _let_2 _let_1)) (= (< _let_2 (+ _let_1 1)) (= _let_2 _let_1)))))) (forall ((A__questionmark_v0 |tptp.'Nat$'|) (A__questionmark_v1 |tptp.'Nat$'|)) (let ((_let_1 (|tptp.'fun_app$h'| |tptp.'of_nat$'| A__questionmark_v0))) (let ((_let_2 (|tptp.'fun_app$h'| |tptp.'of_nat$'| A__questionmark_v1))) (=> (and (not (= _let_1 _let_2)) (=> (< _let_1 _let_2) false) (=> (< _let_2 _let_1) false)) false)))) (forall ((A__questionmark_v0 |tptp.'Nat_bool_fun$'|) (A__questionmark_v1 |tptp.'Nat$'|)) (=> (forall ((A__questionmark_v2 |tptp.'Nat$'|)) (=> (not (|tptp.'fun_app$ai'| A__questionmark_v0 A__questionmark_v2)) (exists ((A__questionmark_v3 |tptp.'Nat$'|)) (and (< (|tptp.'fun_app$h'| |tptp.'of_nat$'| A__questionmark_v3) (|tptp.'fun_app$h'| |tptp.'of_nat$'| A__questionmark_v2)) (not (|tptp.'fun_app$ai'| A__questionmark_v0 A__questionmark_v3)))))) (|tptp.'fun_app$ai'| A__questionmark_v0 A__questionmark_v1))) (forall ((A__questionmark_v0 |tptp.'Nat_bool_fun$'|) (A__questionmark_v1 |tptp.'Nat$'|)) (=> (forall ((A__questionmark_v2 |tptp.'Nat$'|)) (=> (forall ((A__questionmark_v3 |tptp.'Nat$'|)) (=> (< (|tptp.'fun_app$h'| |tptp.'of_nat$'| A__questionmark_v3) (|tptp.'fun_app$h'| |tptp.'of_nat$'| A__questionmark_v2)) (|tptp.'fun_app$ai'| A__questionmark_v0 A__questionmark_v3))) (|tptp.'fun_app$ai'| A__questionmark_v0 A__questionmark_v2))) (|tptp.'fun_app$ai'| A__questionmark_v0 A__questionmark_v1))) (forall ((A__questionmark_v0 |tptp.'Nat$'|)) (let ((_let_1 (|tptp.'fun_app$h'| |tptp.'of_nat$'| A__questionmark_v0))) (=> (< _let_1 _let_1) false))) (forall ((A__questionmark_v0 |tptp.'Nat$'|) (A__questionmark_v1 |tptp.'Nat$'|)) (let ((_let_1 (|tptp.'fun_app$h'| |tptp.'of_nat$'| A__questionmark_v1))) (let ((_let_2 (|tptp.'fun_app$h'| |tptp.'of_nat$'| A__questionmark_v0))) (=> (< _let_2 _let_1) (not (= _let_2 _let_1)))))) (forall ((A__questionmark_v0 |tptp.'Nat$'|) (A__questionmark_v1 |tptp.'Nat$'|)) (let ((_let_1 (|tptp.'fun_app$h'| |tptp.'of_nat$'| A__questionmark_v0))) (let ((_let_2 (|tptp.'fun_app$h'| |tptp.'of_nat$'| A__questionmark_v1))) (=> (< _let_1 _let_2) (not (= _let_2 _let_1)))))) (forall ((A__questionmark_v0 |tptp.'Nat$'|)) (let ((_let_1 (|tptp.'fun_app$h'| |tptp.'of_nat$'| A__questionmark_v0))) (not (< _let_1 _let_1)))) (forall ((A__questionmark_v0 |tptp.'Nat$'|) (A__questionmark_v1 |tptp.'Nat$'|)) (let ((_let_1 (|tptp.'fun_app$h'| |tptp.'of_nat$'| A__questionmark_v0))) (let ((_let_2 (|tptp.'fun_app$h'| |tptp.'of_nat$'| A__questionmark_v1))) (= (not (= _let_1 _let_2)) (or (< _let_1 _let_2) (< _let_2 _let_1)))))) (forall ((A__questionmark_v0 |tptp.'Nat_int_fun$'|) (A__questionmark_v1 |tptp.'Nat$'|) (A__questionmark_v2 |tptp.'Nat$'|)) (=> (forall ((A__questionmark_v3 |tptp.'Nat$'|)) (< (|tptp.'fun_app$h'| A__questionmark_v0 A__questionmark_v3) (|tptp.'fun_app$h'| A__questionmark_v0 (|tptp.'nat$'| (+ (|tptp.'fun_app$h'| |tptp.'of_nat$'| A__questionmark_v3) 1))))) (= (< (|tptp.'fun_app$h'| A__questionmark_v0 A__questionmark_v1) (|tptp.'fun_app$h'| A__questionmark_v0 A__questionmark_v2)) (< (|tptp.'fun_app$h'| |tptp.'of_nat$'| A__questionmark_v1) (|tptp.'fun_app$h'| |tptp.'of_nat$'| A__questionmark_v2))))) (forall ((A__questionmark_v0 |tptp.'Nat_int_fun$'|) (A__questionmark_v1 |tptp.'Nat$'|) (A__questionmark_v2 |tptp.'Nat$'|)) (=> (and (forall ((A__questionmark_v3 |tptp.'Nat$'|)) (< (|tptp.'fun_app$h'| A__questionmark_v0 A__questionmark_v3) (|tptp.'fun_app$h'| A__questionmark_v0 (|tptp.'nat$'| (+ (|tptp.'fun_app$h'| |tptp.'of_nat$'| A__questionmark_v3) 1))))) (< (|tptp.'fun_app$h'| |tptp.'of_nat$'| A__questionmark_v1) (|tptp.'fun_app$h'| |tptp.'of_nat$'| A__questionmark_v2))) (< (|tptp.'fun_app$h'| A__questionmark_v0 A__questionmark_v1) (|tptp.'fun_app$h'| A__questionmark_v0 A__questionmark_v2)))) (forall ((A__questionmark_v0 |tptp.'A_TESL_atomic$'|) (A__questionmark_v1 |tptp.'A_TESL_atomic_list_set$'|) (A__questionmark_v2 |tptp.'A_TESL_atomic_list$'|)) (=> (|tptp.'member$b'| A__questionmark_v0 (|tptp.'succ$'| A__questionmark_v1 A__questionmark_v2)) (|tptp.'member$c'| (|tptp.'fun_app$e'| (|tptp.'append$'| A__questionmark_v2) (|tptp.'fun_app$e'| (|tptp.'cons$'| A__questionmark_v0) |tptp.'nil$'|)) A__questionmark_v1))) (forall ((A__questionmark_v0 |tptp.'A_TESL_atomic_list$'|) (A__questionmark_v1 |tptp.'A_TESL_atomic$'|) (A__questionmark_v2 |tptp.'A_TESL_atomic_list_set$'|)) (=> (|tptp.'member$c'| (|tptp.'fun_app$e'| (|tptp.'append$'| A__questionmark_v0) (|tptp.'fun_app$e'| (|tptp.'cons$'| A__questionmark_v1) |tptp.'nil$'|)) A__questionmark_v2) (|tptp.'member$b'| A__questionmark_v1 (|tptp.'succ$'| A__questionmark_v2 A__questionmark_v0)))) (forall ((A__questionmark_v0 |tptp.'A_TESL_atomic_list$'|) (A__questionmark_v1 |tptp.'A_TESL_atomic_list$'|) (A__questionmark_v2 |tptp.'A_TESL_atomic_list_nat_fun$'|) (A__questionmark_v3 |tptp.'A_TESL_atomic_list_nat_fun_list$'|)) (let ((_let_1 (|tptp.'pair$b'| A__questionmark_v0 A__questionmark_v1))) (let ((_let_2 (|tptp.'fun_app$h'| |tptp.'of_nat$'| (|tptp.'fun_app$af'| A__questionmark_v2 A__questionmark_v1)))) (let ((_let_3 (|tptp.'fun_app$h'| |tptp.'of_nat$'| (|tptp.'fun_app$af'| A__questionmark_v2 A__questionmark_v0)))) (= (|tptp.'member$h'| _let_1 (|tptp.'measures$'| (|tptp.'cons$e'| A__questionmark_v2 A__questionmark_v3))) (or (< _let_3 _let_2) (and (= _let_3 _let_2) (|tptp.'member$h'| _let_1 (|tptp.'measures$'| A__questionmark_v3))))))))) (forall ((A__questionmark_v0 |tptp.'A_TESL_atomic_list$'|) (A__questionmark_v1 |tptp.'A_TESL_atomic_list$'|)) (= (|tptp.'member$h'| (|tptp.'pair$b'| A__questionmark_v0 A__questionmark_v1) (|tptp.'measures$'| |tptp.'nil$d'|)) false)) (forall ((A__questionmark_v0 |tptp.'A_TESL_atomic_list_nat_fun$'|) (A__questionmark_v1 |tptp.'A_TESL_atomic_list$'|) (A__questionmark_v2 |tptp.'A_TESL_atomic_list$'|) (A__questionmark_v3 |tptp.'A_TESL_atomic_list_nat_fun_list$'|)) (=> (< (|tptp.'fun_app$h'| |tptp.'of_nat$'| (|tptp.'fun_app$af'| A__questionmark_v0 A__questionmark_v1)) (|tptp.'fun_app$h'| |tptp.'of_nat$'| (|tptp.'fun_app$af'| A__questionmark_v0 A__questionmark_v2))) (|tptp.'member$h'| (|tptp.'pair$b'| A__questionmark_v1 A__questionmark_v2) (|tptp.'measures$'| (|tptp.'cons$e'| A__questionmark_v0 A__questionmark_v3))))) (forall ((A__questionmark_v0 |tptp.'A_TESL_atomic_list_set$'|) (A__questionmark_v1 |tptp.'A_TESL_atomic$'|) (A__questionmark_v2 |tptp.'A_TESL_atomic_list$'|)) (= (|tptp.'succ$'| (|tptp.'shift$'| A__questionmark_v0 A__questionmark_v1) A__questionmark_v2) (|tptp.'succ$'| A__questionmark_v0 (|tptp.'fun_app$e'| (|tptp.'cons$'| A__questionmark_v1) A__questionmark_v2)))) (forall ((A__questionmark_v0 |tptp.'Nat$'|) (A__questionmark_v1 |tptp.'Nat$'|) (A__questionmark_v2 |tptp.'Nat$'|)) (let ((_let_1 (|tptp.'fun_app$h'| |tptp.'of_nat$'| A__questionmark_v2))) (let ((_let_2 (|tptp.'fun_app$h'| |tptp.'of_nat$'| A__questionmark_v1))) (let ((_let_3 (|tptp.'fun_app$j'| |tptp.'times$'| (+ (|tptp.'fun_app$h'| |tptp.'of_nat$'| A__questionmark_v0) 1)))) (= (= (|tptp.'fun_app$k'| _let_3 _let_2) (|tptp.'fun_app$k'| _let_3 _let_1)) (= _let_2 _let_1)))))) (forall ((A__questionmark_v0 |tptp.'Nat$'|) (A__questionmark_v1 |tptp.'Nat$'|) (A__questionmark_v2 |tptp.'Nat$'|)) (let ((_let_1 (|tptp.'fun_app$h'| |tptp.'of_nat$'| A__questionmark_v2))) (let ((_let_2 (|tptp.'fun_app$h'| |tptp.'of_nat$'| A__questionmark_v1))) (let ((_let_3 (|tptp.'fun_app$j'| |tptp.'times$'| (+ (|tptp.'fun_app$h'| |tptp.'of_nat$'| A__questionmark_v0) 1)))) (= (< (|tptp.'fun_app$k'| _let_3 _let_2) (|tptp.'fun_app$k'| _let_3 _let_1)) (< _let_2 _let_1)))))) (forall ((A__questionmark_v0 |tptp.'A_TESL_atomic_list$'|) (A__questionmark_v1 |tptp.'A_TESL_atomic_list_set$'|) (A__questionmark_v2 |tptp.'A_TESL_atomic$'|)) (=> (|tptp.'member$c'| A__questionmark_v0 (|tptp.'shift$'| A__questionmark_v1 A__questionmark_v2)) (|tptp.'member$c'| (|tptp.'fun_app$e'| (|tptp.'cons$'| A__questionmark_v2) A__questionmark_v0) A__questionmark_v1))) (forall ((A__questionmark_v0 |tptp.'A_constr_list$'|) (A__questionmark_v1 |tptp.'A_constr$'|)) (|tptp.'less_eq$'| (|tptp.'symbolic_run_interpretation$'| (|tptp.'append$b'| A__questionmark_v0 (|tptp.'cons$k'| A__questionmark_v1 |tptp.'nil$k'|))) (|tptp.'symbolic_run_interpretation$'| A__questionmark_v0))) (forall ((A__questionmark_v0 |tptp.'A_constr_list_list$'|) (A__questionmark_v1 |tptp.'Nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod_list$'|) (A__questionmark_v2 |tptp.'A_constr_list_nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod_prod_set$'|)) (= (|tptp.'member$e'| (|tptp.'pair$y'| A__questionmark_v0 A__questionmark_v1) (|tptp.'listrel$'| A__questionmark_v2)) (and (= (|tptp.'fun_app$h'| |tptp.'of_nat$'| (|tptp.'size$b'| A__questionmark_v0)) (|tptp.'fun_app$h'| |tptp.'of_nat$'| (|tptp.'size$c'| A__questionmark_v1))) (forall ((A__questionmark_v3 |tptp.'Nat$'|)) (=> (< (|tptp.'fun_app$h'| |tptp.'of_nat$'| A__questionmark_v3) (|tptp.'fun_app$h'| |tptp.'of_nat$'| (|tptp.'size$b'| A__questionmark_v0))) (|tptp.'member$f'| (|tptp.'pair$'| (|tptp.'nth$'| A__questionmark_v0 A__questionmark_v3) (|tptp.'nth$a'| A__questionmark_v1 A__questionmark_v3)) A__questionmark_v2)))))) (forall ((A__questionmark_v0 |tptp.'Nat_list$'|) (A__questionmark_v1 |tptp.'A_TESL_atomic_list_a_TESL_atomic_list_prod_list$'|) (A__questionmark_v2 |tptp.'Nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod_set$'|)) (= (|tptp.'member$'| (|tptp.'pair$d'| A__questionmark_v0 A__questionmark_v1) (|tptp.'listrel$a'| A__questionmark_v2)) (and (= (|tptp.'fun_app$h'| |tptp.'of_nat$'| (|tptp.'size$d'| A__questionmark_v0)) (|tptp.'fun_app$h'| |tptp.'of_nat$'| (|tptp.'size$e'| A__questionmark_v1))) (forall ((A__questionmark_v3 |tptp.'Nat$'|)) (=> (< (|tptp.'fun_app$h'| |tptp.'of_nat$'| A__questionmark_v3) (|tptp.'fun_app$h'| |tptp.'of_nat$'| (|tptp.'size$d'| A__questionmark_v0))) (|tptp.'member$a'| (|tptp.'pair$a'| (|tptp.'fun_app$ak'| (|tptp.'nth$b'| A__questionmark_v0) A__questionmark_v3) (|tptp.'fun_app$al'| (|tptp.'nth$c'| A__questionmark_v1) A__questionmark_v3)) A__questionmark_v2)))))) (forall ((A__questionmark_v0 |tptp.'A_TESL_atomic_list_list$'|) (A__questionmark_v1 |tptp.'A_TESL_atomic_list_list$'|) (A__questionmark_v2 |tptp.'A_TESL_atomic_list_a_TESL_atomic_list_prod_set$'|)) (= (|tptp.'member$g'| (|tptp.'pair$c'| A__questionmark_v0 A__questionmark_v1) (|tptp.'listrel$b'| A__questionmark_v2)) (and (= (|tptp.'fun_app$h'| |tptp.'of_nat$'| (|tptp.'size$a'| A__questionmark_v0)) (|tptp.'fun_app$h'| |tptp.'of_nat$'| (|tptp.'size$a'| A__questionmark_v1))) (forall ((A__questionmark_v3 |tptp.'Nat$'|)) (=> (< (|tptp.'fun_app$h'| |tptp.'of_nat$'| A__questionmark_v3) (|tptp.'fun_app$h'| |tptp.'of_nat$'| (|tptp.'size$a'| A__questionmark_v0))) (|tptp.'member$h'| (|tptp.'pair$b'| (|tptp.'nth$d'| A__questionmark_v0 A__questionmark_v3) (|tptp.'nth$d'| A__questionmark_v1 A__questionmark_v3)) A__questionmark_v2)))))) (forall ((A__questionmark_v0 |tptp.'A_TESL_atomic_list$'|) (A__questionmark_v1 |tptp.'A_TESL_atomic_list$'|) (A__questionmark_v2 |tptp.'A_TESL_atomic_a_TESL_atomic_prod_set$'|)) (= (|tptp.'member$h'| (|tptp.'pair$b'| A__questionmark_v0 A__questionmark_v1) (|tptp.'listrel$c'| A__questionmark_v2)) (and (= (|tptp.'fun_app$h'| |tptp.'of_nat$'| (|tptp.'fun_app$af'| |tptp.'size$'| A__questionmark_v0)) (|tptp.'fun_app$h'| |tptp.'of_nat$'| (|tptp.'fun_app$af'| |tptp.'size$'| A__questionmark_v1))) (forall ((A__questionmark_v3 |tptp.'Nat$'|)) (=> (< (|tptp.'fun_app$h'| |tptp.'of_nat$'| A__questionmark_v3) (|tptp.'fun_app$h'| |tptp.'of_nat$'| (|tptp.'fun_app$af'| |tptp.'size$'| A__questionmark_v0))) (|tptp.'member$i'| (|tptp.'pair$z'| (|tptp.'nth$e'| A__questionmark_v0 A__questionmark_v3) (|tptp.'nth$e'| A__questionmark_v1 A__questionmark_v3)) A__questionmark_v2)))))) (forall ((A__questionmark_v0 |tptp.'A_run_set$'|) (A__questionmark_v1 |tptp.'A_run_set$'|) (A__questionmark_v2 |tptp.'A_run_set$'|)) (= (|tptp.'less_eq$'| A__questionmark_v0 (|tptp.'fun_app$f'| (|tptp.'fun_app$g'| |tptp.'inf$'| A__questionmark_v1) A__questionmark_v2)) (and (|tptp.'less_eq$'| A__questionmark_v0 A__questionmark_v1) (|tptp.'less_eq$'| A__questionmark_v0 A__questionmark_v2)))) (forall ((A__questionmark_v0 Int) (A__questionmark_v1 Int) (A__questionmark_v2 Int)) (= (<= A__questionmark_v0 (|tptp.'fun_app$k'| (|tptp.'fun_app$j'| |tptp.'inf$e'| A__questionmark_v1) A__questionmark_v2)) (and (<= A__questionmark_v0 A__questionmark_v1) (<= A__questionmark_v0 A__questionmark_v2)))) (forall ((A__questionmark_v0 |tptp.'A_run_set$'|) (A__questionmark_v1 |tptp.'A_run_set$'|) (A__questionmark_v2 |tptp.'A_run_set$'|)) (= (|tptp.'less_eq$'| A__questionmark_v0 (|tptp.'fun_app$f'| (|tptp.'fun_app$g'| |tptp.'inf$'| A__questionmark_v1) A__questionmark_v2)) (and (|tptp.'less_eq$'| A__questionmark_v0 A__questionmark_v1) (|tptp.'less_eq$'| A__questionmark_v0 A__questionmark_v2)))) (forall ((A__questionmark_v0 Int) (A__questionmark_v1 Int) (A__questionmark_v2 Int)) (= (<= A__questionmark_v0 (|tptp.'fun_app$k'| (|tptp.'fun_app$j'| |tptp.'inf$e'| A__questionmark_v1) A__questionmark_v2)) (and (<= A__questionmark_v0 A__questionmark_v1) (<= A__questionmark_v0 A__questionmark_v2)))) (forall ((A__questionmark_v0 |tptp.'A_run_set$'|) (A__questionmark_v1 |tptp.'A_run_set$'|) (A__questionmark_v2 |tptp.'A_run_set$'|)) (= (|tptp.'less_eq$'| A__questionmark_v0 (|tptp.'fun_app$f'| (|tptp.'fun_app$g'| |tptp.'inf$'| A__questionmark_v1) A__questionmark_v2)) (and (|tptp.'less_eq$'| A__questionmark_v0 A__questionmark_v1) (|tptp.'less_eq$'| A__questionmark_v0 A__questionmark_v2)))) (forall ((A__questionmark_v0 |tptp.'A_TESL_atomic$'|) (A__questionmark_v1 |tptp.'A_TESL_atomic_list$'|) (A__questionmark_v2 |tptp.'Nat$'|)) (= (|tptp.'nth$e'| (|tptp.'fun_app$e'| (|tptp.'cons$'| A__questionmark_v0) A__questionmark_v1) (|tptp.'nat$'| (+ (|tptp.'fun_app$h'| |tptp.'of_nat$'| A__questionmark_v2) 1))) (|tptp.'nth$e'| A__questionmark_v1 A__questionmark_v2))) (forall ((A__questionmark_v0 |tptp.'A_TESL_atomic_list$'|) (A__questionmark_v1 |tptp.'A_TESL_atomic$'|) (A__questionmark_v2 |tptp.'A_TESL_atomic_list$'|)) (= (|tptp.'nth$e'| (|tptp.'fun_app$e'| (|tptp.'append$'| A__questionmark_v0) (|tptp.'fun_app$e'| (|tptp.'cons$'| A__questionmark_v1) A__questionmark_v2)) (|tptp.'fun_app$af'| |tptp.'size$'| A__questionmark_v0)) A__questionmark_v1)) (forall ((A__questionmark_v0 |tptp.'Nat_int_fun$'|) (A__questionmark_v1 |tptp.'Nat$'|) (A__questionmark_v2 |tptp.'Nat$'|)) (=> (and (forall ((A__questionmark_v3 |tptp.'Nat$'|)) (<= (|tptp.'fun_app$h'| A__questionmark_v0 A__questionmark_v3) (|tptp.'fun_app$h'| A__questionmark_v0 (|tptp.'nat$'| (+ (|tptp.'fun_app$h'| |tptp.'of_nat$'| A__questionmark_v3) 1))))) (<= (|tptp.'fun_app$h'| |tptp.'of_nat$'| A__questionmark_v1) (|tptp.'fun_app$h'| |tptp.'of_nat$'| A__questionmark_v2))) (<= (|tptp.'fun_app$h'| A__questionmark_v0 A__questionmark_v1) (|tptp.'fun_app$h'| A__questionmark_v0 A__questionmark_v2)))) (forall ((A__questionmark_v0 |tptp.'Nat_int_fun$'|) (A__questionmark_v1 |tptp.'Nat$'|) (A__questionmark_v2 |tptp.'Nat$'|)) (=> (and (forall ((A__questionmark_v3 |tptp.'Nat$'|)) (<= (|tptp.'fun_app$h'| A__questionmark_v0 (|tptp.'nat$'| (+ (|tptp.'fun_app$h'| |tptp.'of_nat$'| A__questionmark_v3) 1))) (|tptp.'fun_app$h'| A__questionmark_v0 A__questionmark_v3))) (<= (|tptp.'fun_app$h'| |tptp.'of_nat$'| A__questionmark_v1) (|tptp.'fun_app$h'| |tptp.'of_nat$'| A__questionmark_v2))) (<= (|tptp.'fun_app$h'| A__questionmark_v0 A__questionmark_v2) (|tptp.'fun_app$h'| A__questionmark_v0 A__questionmark_v1)))) (forall ((A__questionmark_v0 |tptp.'A_run_set$'|) (A__questionmark_v1 |tptp.'A_run_set$'|) (A__questionmark_v2 |tptp.'A_run_bool_fun$'|) (A__questionmark_v3 |tptp.'A_run_bool_fun$'|)) (=> (and (|tptp.'less_eq$'| A__questionmark_v0 A__questionmark_v1) (forall ((A__questionmark_v4 |tptp.'A_run$'|)) (=> (and (|tptp.'member$d'| A__questionmark_v4 A__questionmark_v0) (|tptp.'fun_app$d'| A__questionmark_v2 A__questionmark_v4)) (|tptp.'fun_app$d'| A__questionmark_v3 A__questionmark_v4)))) (|tptp.'less_eq$'| (|tptp.'fun_app$f'| (|tptp.'fun_app$g'| |tptp.'inf$'| A__questionmark_v0) (|tptp.'collect$d'| A__questionmark_v2)) (|tptp.'fun_app$f'| (|tptp.'fun_app$g'| |tptp.'inf$'| A__questionmark_v1) (|tptp.'collect$d'| A__questionmark_v3))))) (forall ((A__questionmark_v0 |tptp.'A_run_set$'|) (A__questionmark_v1 |tptp.'A_run_set$'|) (A__questionmark_v2 |tptp.'A_run_set$'|)) (=> (and (|tptp.'less_eq$'| A__questionmark_v0 A__questionmark_v1) (|tptp.'less_eq$'| A__questionmark_v0 A__questionmark_v2)) (|tptp.'less_eq$'| A__questionmark_v0 (|tptp.'fun_app$f'| (|tptp.'fun_app$g'| |tptp.'inf$'| A__questionmark_v1) A__questionmark_v2)))) (forall ((A__questionmark_v0 |tptp.'A_run_set$'|) (A__questionmark_v1 |tptp.'A_run_set$'|)) (=> (|tptp.'less_eq$'| A__questionmark_v0 A__questionmark_v1) (= (|tptp.'fun_app$f'| (|tptp.'fun_app$g'| |tptp.'inf$'| A__questionmark_v0) A__questionmark_v1) A__questionmark_v0))) (forall ((A__questionmark_v0 |tptp.'A_run_set$'|) (A__questionmark_v1 |tptp.'A_run_set$'|)) (=> (|tptp.'less_eq$'| A__questionmark_v0 A__questionmark_v1) (= (|tptp.'fun_app$f'| (|tptp.'fun_app$g'| |tptp.'inf$'| A__questionmark_v1) A__questionmark_v0) A__questionmark_v0))) (forall ((A__questionmark_v0 |tptp.'A_run_set$'|) (A__questionmark_v1 |tptp.'A_run_set$'|)) (|tptp.'less_eq$'| (|tptp.'fun_app$f'| (|tptp.'fun_app$g'| |tptp.'inf$'| A__questionmark_v0) A__questionmark_v1) A__questionmark_v1)) (forall ((A__questionmark_v0 |tptp.'A_run_set$'|) (A__questionmark_v1 |tptp.'A_run_set$'|)) (|tptp.'less_eq$'| (|tptp.'fun_app$f'| (|tptp.'fun_app$g'| |tptp.'inf$'| A__questionmark_v0) A__questionmark_v1) A__questionmark_v0)) (forall ((A__questionmark_v0 |tptp.'A_run_set$'|) (A__questionmark_v1 |tptp.'A_run_set$'|) (A__questionmark_v2 |tptp.'A_run_set$'|) (A__questionmark_v3 |tptp.'A_run_set$'|)) (=> (and (|tptp.'less_eq$'| A__questionmark_v0 A__questionmark_v1) (|tptp.'less_eq$'| A__questionmark_v2 A__questionmark_v3)) (|tptp.'less_eq$'| (|tptp.'fun_app$f'| (|tptp.'fun_app$g'| |tptp.'inf$'| A__questionmark_v0) A__questionmark_v2) (|tptp.'fun_app$f'| (|tptp.'fun_app$g'| |tptp.'inf$'| A__questionmark_v1) A__questionmark_v3)))) (forall ((A__questionmark_v0 |tptp.'A_run_set$'|) (A__questionmark_v1 |tptp.'A_run_set$'|) (A__questionmark_v2 |tptp.'A_run_set$'|)) (=> (|tptp.'less_eq$'| A__questionmark_v0 A__questionmark_v1) (|tptp.'less_eq$'| (|tptp.'fun_app$f'| (|tptp.'fun_app$g'| |tptp.'inf$'| A__questionmark_v2) A__questionmark_v0) A__questionmark_v1))) (forall ((A__questionmark_v0 Int) (A__questionmark_v1 Int) (A__questionmark_v2 Int)) (=> (<= A__questionmark_v0 A__questionmark_v1) (<= (|tptp.'fun_app$k'| (|tptp.'fun_app$j'| |tptp.'inf$e'| A__questionmark_v2) A__questionmark_v0) A__questionmark_v1))) (forall ((A__questionmark_v0 |tptp.'A_run_set$'|) (A__questionmark_v1 |tptp.'A_run_set$'|) (A__questionmark_v2 |tptp.'A_run_set$'|)) (=> (|tptp.'less_eq$'| A__questionmark_v0 A__questionmark_v1) (|tptp.'less_eq$'| (|tptp.'fun_app$f'| (|tptp.'fun_app$g'| |tptp.'inf$'| A__questionmark_v0) A__questionmark_v2) A__questionmark_v1))) (forall ((A__questionmark_v0 Int) (A__questionmark_v1 Int) (A__questionmark_v2 Int)) (=> (<= A__questionmark_v0 A__questionmark_v1) (<= (|tptp.'fun_app$k'| (|tptp.'fun_app$j'| |tptp.'inf$e'| A__questionmark_v0) A__questionmark_v2) A__questionmark_v1))) (forall ((A__questionmark_v0 |tptp.'A_run_set$'|) (A__questionmark_v1 |tptp.'A_run_set$'|)) (= (|tptp.'less_eq$'| A__questionmark_v0 A__questionmark_v1) (= (|tptp.'fun_app$f'| (|tptp.'fun_app$g'| |tptp.'inf$'| A__questionmark_v1) A__questionmark_v0) A__questionmark_v0))) (forall ((A__questionmark_v0 Int) (A__questionmark_v1 Int)) (= (<= A__questionmark_v0 A__questionmark_v1) (= (|tptp.'fun_app$k'| (|tptp.'fun_app$j'| |tptp.'inf$e'| A__questionmark_v1) A__questionmark_v0) A__questionmark_v0))) (forall ((A__questionmark_v0 |tptp.'A_run_set$'|) (A__questionmark_v1 |tptp.'A_run_set$'|)) (= (|tptp.'less_eq$'| A__questionmark_v0 A__questionmark_v1) (= (|tptp.'fun_app$f'| (|tptp.'fun_app$g'| |tptp.'inf$'| A__questionmark_v0) A__questionmark_v1) A__questionmark_v0))) (forall ((A__questionmark_v0 Int) (A__questionmark_v1 Int)) (= (<= A__questionmark_v0 A__questionmark_v1) (= (|tptp.'fun_app$k'| (|tptp.'fun_app$j'| |tptp.'inf$e'| A__questionmark_v0) A__questionmark_v1) A__questionmark_v0))) (forall ((A__questionmark_v0 |tptp.'A_run_set$'|) (A__questionmark_v1 |tptp.'A_run_set$'|)) (|tptp.'less_eq$'| (|tptp.'fun_app$f'| (|tptp.'fun_app$g'| |tptp.'inf$'| A__questionmark_v0) A__questionmark_v1) A__questionmark_v1)) (forall ((A__questionmark_v0 Int) (A__questionmark_v1 Int)) (<= (|tptp.'fun_app$k'| (|tptp.'fun_app$j'| |tptp.'inf$e'| A__questionmark_v0) A__questionmark_v1) A__questionmark_v1)) (forall ((A__questionmark_v0 |tptp.'A_run_set$'|) (A__questionmark_v1 |tptp.'A_run_set$'|)) (|tptp.'less_eq$'| (|tptp.'fun_app$f'| (|tptp.'fun_app$g'| |tptp.'inf$'| A__questionmark_v0) A__questionmark_v1) A__questionmark_v0)) (forall ((A__questionmark_v0 Int) (A__questionmark_v1 Int)) (<= (|tptp.'fun_app$k'| (|tptp.'fun_app$j'| |tptp.'inf$e'| A__questionmark_v0) A__questionmark_v1) A__questionmark_v0)) (forall ((A__questionmark_v0 |tptp.'A_run_set$'|) (A__questionmark_v1 |tptp.'A_run_set$'|)) (= (|tptp.'less_eq$'| A__questionmark_v0 A__questionmark_v1) (= A__questionmark_v0 (|tptp.'fun_app$f'| (|tptp.'fun_app$g'| |tptp.'inf$'| A__questionmark_v0) A__questionmark_v1)))) (forall ((A__questionmark_v0 Int) (A__questionmark_v1 Int)) (= (<= A__questionmark_v0 A__questionmark_v1) (= A__questionmark_v0 (|tptp.'fun_app$k'| (|tptp.'fun_app$j'| |tptp.'inf$e'| A__questionmark_v0) A__questionmark_v1)))) (forall ((A__questionmark_v0 |tptp.'A_run_set$'|) (A__questionmark_v1 |tptp.'A_run_set$'|) (A__questionmark_v2 |tptp.'A_run_set$'|)) (=> (and (|tptp.'less_eq$'| A__questionmark_v0 A__questionmark_v1) (|tptp.'less_eq$'| A__questionmark_v0 A__questionmark_v2)) (|tptp.'less_eq$'| A__questionmark_v0 (|tptp.'fun_app$f'| (|tptp.'fun_app$g'| |tptp.'inf$'| A__questionmark_v1) A__questionmark_v2)))) (forall ((A__questionmark_v0 Int) (A__questionmark_v1 Int) (A__questionmark_v2 Int)) (=> (and (<= A__questionmark_v0 A__questionmark_v1) (<= A__questionmark_v0 A__questionmark_v2)) (<= A__questionmark_v0 (|tptp.'fun_app$k'| (|tptp.'fun_app$j'| |tptp.'inf$e'| A__questionmark_v1) A__questionmark_v2)))) (forall ((A__questionmark_v0 |tptp.'A_run_set$'|) (A__questionmark_v1 |tptp.'A_run_set$'|) (A__questionmark_v2 |tptp.'A_run_set$'|)) (=> (and (|tptp.'less_eq$'| A__questionmark_v0 A__questionmark_v1) (|tptp.'less_eq$'| A__questionmark_v0 A__questionmark_v2)) (|tptp.'less_eq$'| A__questionmark_v0 (|tptp.'fun_app$f'| (|tptp.'fun_app$g'| |tptp.'inf$'| A__questionmark_v1) A__questionmark_v2)))) (forall ((A__questionmark_v0 Int) (A__questionmark_v1 Int) (A__questionmark_v2 Int)) (=> (and (<= A__questionmark_v0 A__questionmark_v1) (<= A__questionmark_v0 A__questionmark_v2)) (<= A__questionmark_v0 (|tptp.'fun_app$k'| (|tptp.'fun_app$j'| |tptp.'inf$e'| A__questionmark_v1) A__questionmark_v2)))) (forall ((A__questionmark_v0 |tptp.'A_run_set$'|) (A__questionmark_v1 |tptp.'A_run_set$'|) (A__questionmark_v2 |tptp.'A_run_set$'|)) (=> (and (|tptp.'less_eq$'| A__questionmark_v0 (|tptp.'fun_app$f'| (|tptp.'fun_app$g'| |tptp.'inf$'| A__questionmark_v1) A__questionmark_v2)) (=> (and (|tptp.'less_eq$'| A__questionmark_v0 A__questionmark_v1) (|tptp.'less_eq$'| A__questionmark_v0 A__questionmark_v2)) false)) false)) (forall ((A__questionmark_v0 Int) (A__questionmark_v1 Int) (A__questionmark_v2 Int)) (=> (and (<= A__questionmark_v0 (|tptp.'fun_app$k'| (|tptp.'fun_app$j'| |tptp.'inf$e'| A__questionmark_v1) A__questionmark_v2)) (=> (and (<= A__questionmark_v0 A__questionmark_v1) (<= A__questionmark_v0 A__questionmark_v2)) false)) false)) (forall ((A__questionmark_v0 |tptp.'A_run_set$'|) (A__questionmark_v1 |tptp.'A_run_set$'|)) (=> (|tptp.'less_eq$'| A__questionmark_v0 A__questionmark_v1) (= (|tptp.'fun_app$f'| (|tptp.'fun_app$g'| |tptp.'inf$'| A__questionmark_v1) A__questionmark_v0) A__questionmark_v0))) (forall ((A__questionmark_v0 Int) (A__questionmark_v1 Int)) (=> (<= A__questionmark_v0 A__questionmark_v1) (= (|tptp.'fun_app$k'| (|tptp.'fun_app$j'| |tptp.'inf$e'| A__questionmark_v1) A__questionmark_v0) A__questionmark_v0))) (forall ((A__questionmark_v0 |tptp.'A_run_set$'|) (A__questionmark_v1 |tptp.'A_run_set$'|)) (=> (|tptp.'less_eq$'| A__questionmark_v0 A__questionmark_v1) (= (|tptp.'fun_app$f'| (|tptp.'fun_app$g'| |tptp.'inf$'| A__questionmark_v0) A__questionmark_v1) A__questionmark_v0))) (forall ((A__questionmark_v0 Int) (A__questionmark_v1 Int)) (=> (<= A__questionmark_v0 A__questionmark_v1) (= (|tptp.'fun_app$k'| (|tptp.'fun_app$j'| |tptp.'inf$e'| A__questionmark_v0) A__questionmark_v1) A__questionmark_v0))) (forall ((A__questionmark_v0 |tptp.'A_run_set$'|) (A__questionmark_v1 |tptp.'A_run_set$'|)) (=> (|tptp.'less_eq$'| A__questionmark_v0 A__questionmark_v1) (= (|tptp.'fun_app$f'| (|tptp.'fun_app$g'| |tptp.'inf$'| A__questionmark_v1) A__questionmark_v0) A__questionmark_v0))) (forall ((A__questionmark_v0 Int) (A__questionmark_v1 Int)) (=> (<= A__questionmark_v0 A__questionmark_v1) (= (|tptp.'fun_app$k'| (|tptp.'fun_app$j'| |tptp.'inf$e'| A__questionmark_v1) A__questionmark_v0) A__questionmark_v0))) (forall ((A__questionmark_v0 |tptp.'A_run_set$'|) (A__questionmark_v1 |tptp.'A_run_set$'|)) (=> (|tptp.'less_eq$'| A__questionmark_v0 A__questionmark_v1) (= (|tptp.'fun_app$f'| (|tptp.'fun_app$g'| |tptp.'inf$'| A__questionmark_v0) A__questionmark_v1) A__questionmark_v0))) (forall ((A__questionmark_v0 Int) (A__questionmark_v1 Int)) (=> (<= A__questionmark_v0 A__questionmark_v1) (= (|tptp.'fun_app$k'| (|tptp.'fun_app$j'| |tptp.'inf$e'| A__questionmark_v0) A__questionmark_v1) A__questionmark_v0))) (forall ((A__questionmark_v0 |tptp.'A_run_set$'|) (A__questionmark_v1 |tptp.'A_run_set$'|)) (= (|tptp.'less_eq$'| A__questionmark_v0 A__questionmark_v1) (= (|tptp.'fun_app$f'| (|tptp.'fun_app$g'| |tptp.'inf$'| A__questionmark_v0) A__questionmark_v1) A__questionmark_v0))) (forall ((A__questionmark_v0 Int) (A__questionmark_v1 Int)) (= (<= A__questionmark_v0 A__questionmark_v1) (= (|tptp.'fun_app$k'| (|tptp.'fun_app$j'| |tptp.'inf$e'| A__questionmark_v0) A__questionmark_v1) A__questionmark_v0))) (forall ((A__questionmark_v0 |tptp.'A_run_set_a_run_set_a_run_set_fun_fun$'|) (A__questionmark_v1 |tptp.'A_run_set$'|) (A__questionmark_v2 |tptp.'A_run_set$'|)) (=> (and (forall ((A__questionmark_v3 |tptp.'A_run_set$'|) (A__questionmark_v4 |tptp.'A_run_set$'|)) (|tptp.'less_eq$'| (|tptp.'fun_app$f'| (|tptp.'fun_app$g'| A__questionmark_v0 A__questionmark_v3) A__questionmark_v4) A__questionmark_v3)) (forall ((A__questionmark_v3 |tptp.'A_run_set$'|) (A__questionmark_v4 |tptp.'A_run_set$'|)) (|tptp.'less_eq$'| (|tptp.'fun_app$f'| (|tptp.'fun_app$g'| A__questionmark_v0 A__questionmark_v3) A__questionmark_v4) A__questionmark_v4)) (forall ((A__questionmark_v3 |tptp.'A_run_set$'|) (A__questionmark_v4 |tptp.'A_run_set$'|) (A__questionmark_v5 |tptp.'A_run_set$'|)) (=> (and (|tptp.'less_eq$'| A__questionmark_v3 A__questionmark_v4) (|tptp.'less_eq$'| A__questionmark_v3 A__questionmark_v5)) (|tptp.'less_eq$'| A__questionmark_v3 (|tptp.'fun_app$f'| (|tptp.'fun_app$g'| A__questionmark_v0 A__questionmark_v4) A__questionmark_v5))))) (= (|tptp.'fun_app$f'| (|tptp.'fun_app$g'| |tptp.'inf$'| A__questionmark_v1) A__questionmark_v2) (|tptp.'fun_app$f'| (|tptp.'fun_app$g'| A__questionmark_v0 A__questionmark_v1) A__questionmark_v2)))) (forall ((A__questionmark_v0 |tptp.'Int_int_int_fun_fun$'|) (A__questionmark_v1 Int) (A__questionmark_v2 Int)) (=> (and (forall ((A__questionmark_v3 Int) (A__questionmark_v4 Int)) (<= (|tptp.'fun_app$k'| (|tptp.'fun_app$j'| A__questionmark_v0 A__questionmark_v3) A__questionmark_v4) A__questionmark_v3)) (forall ((A__questionmark_v3 Int) (A__questionmark_v4 Int)) (<= (|tptp.'fun_app$k'| (|tptp.'fun_app$j'| A__questionmark_v0 A__questionmark_v3) A__questionmark_v4) A__questionmark_v4)) (forall ((A__questionmark_v3 Int) (A__questionmark_v4 Int) (A__questionmark_v5 Int)) (=> (and (<= A__questionmark_v3 A__questionmark_v4) (<= A__questionmark_v3 A__questionmark_v5)) (<= A__questionmark_v3 (|tptp.'fun_app$k'| (|tptp.'fun_app$j'| A__questionmark_v0 A__questionmark_v4) A__questionmark_v5))))) (= (|tptp.'fun_app$k'| (|tptp.'fun_app$j'| |tptp.'inf$e'| A__questionmark_v1) A__questionmark_v2) (|tptp.'fun_app$k'| (|tptp.'fun_app$j'| A__questionmark_v0 A__questionmark_v1) A__questionmark_v2)))) (forall ((A__questionmark_v0 |tptp.'A_run_set$'|) (A__questionmark_v1 |tptp.'A_run_set$'|)) (=> (= A__questionmark_v0 (|tptp.'fun_app$f'| (|tptp.'fun_app$g'| |tptp.'inf$'| A__questionmark_v0) A__questionmark_v1)) (|tptp.'less_eq$'| A__questionmark_v0 A__questionmark_v1))) (forall ((A__questionmark_v0 Int) (A__questionmark_v1 Int)) (=> (= A__questionmark_v0 (|tptp.'fun_app$k'| (|tptp.'fun_app$j'| |tptp.'inf$e'| A__questionmark_v0) A__questionmark_v1)) (<= A__questionmark_v0 A__questionmark_v1))) (forall ((A__questionmark_v0 |tptp.'A_run_set$'|) (A__questionmark_v1 |tptp.'A_run_set$'|)) (=> (and (|tptp.'less_eq$'| A__questionmark_v0 A__questionmark_v1) (=> (= A__questionmark_v0 (|tptp.'fun_app$f'| (|tptp.'fun_app$g'| |tptp.'inf$'| A__questionmark_v0) A__questionmark_v1)) false)) false)) (forall ((A__questionmark_v0 Int) (A__questionmark_v1 Int)) (=> (and (<= A__questionmark_v0 A__questionmark_v1) (=> (= A__questionmark_v0 (|tptp.'fun_app$k'| (|tptp.'fun_app$j'| |tptp.'inf$e'| A__questionmark_v0) A__questionmark_v1)) false)) false)) (forall ((A__questionmark_v0 |tptp.'A_run_set$'|) (A__questionmark_v1 |tptp.'A_run_set$'|) (A__questionmark_v2 |tptp.'A_run_set$'|)) (=> (|tptp.'less_eq$'| A__questionmark_v0 A__questionmark_v1) (|tptp.'less_eq$'| (|tptp.'fun_app$f'| (|tptp.'fun_app$g'| |tptp.'inf$'| A__questionmark_v2) A__questionmark_v0) A__questionmark_v1))) (forall ((A__questionmark_v0 Int) (A__questionmark_v1 Int) (A__questionmark_v2 Int)) (=> (<= A__questionmark_v0 A__questionmark_v1) (<= (|tptp.'fun_app$k'| (|tptp.'fun_app$j'| |tptp.'inf$e'| A__questionmark_v2) A__questionmark_v0) A__questionmark_v1))) (forall ((A__questionmark_v0 |tptp.'A_run_set$'|) (A__questionmark_v1 |tptp.'A_run_set$'|) (A__questionmark_v2 |tptp.'A_run_set$'|)) (=> (|tptp.'less_eq$'| A__questionmark_v0 A__questionmark_v1) (|tptp.'less_eq$'| (|tptp.'fun_app$f'| (|tptp.'fun_app$g'| |tptp.'inf$'| A__questionmark_v0) A__questionmark_v2) A__questionmark_v1))) (forall ((A__questionmark_v0 Int) (A__questionmark_v1 Int) (A__questionmark_v2 Int)) (=> (<= A__questionmark_v0 A__questionmark_v1) (<= (|tptp.'fun_app$k'| (|tptp.'fun_app$j'| |tptp.'inf$e'| A__questionmark_v0) A__questionmark_v2) A__questionmark_v1))) (forall ((A__questionmark_v0 |tptp.'A_run_set$'|) (A__questionmark_v1 |tptp.'A_run_set$'|) (A__questionmark_v2 |tptp.'A_run_set$'|) (A__questionmark_v3 |tptp.'A_run_set$'|)) (=> (and (|tptp.'less_eq$'| A__questionmark_v0 A__questionmark_v1) (|tptp.'less_eq$'| A__questionmark_v2 A__questionmark_v3)) (|tptp.'less_eq$'| (|tptp.'fun_app$f'| (|tptp.'fun_app$g'| |tptp.'inf$'| A__questionmark_v0) A__questionmark_v2) (|tptp.'fun_app$f'| (|tptp.'fun_app$g'| |tptp.'inf$'| A__questionmark_v1) A__questionmark_v3)))) (forall ((A__questionmark_v0 Int) (A__questionmark_v1 Int) (A__questionmark_v2 Int) (A__questionmark_v3 Int)) (=> (and (<= A__questionmark_v0 A__questionmark_v1) (<= A__questionmark_v2 A__questionmark_v3)) (<= (|tptp.'fun_app$k'| (|tptp.'fun_app$j'| |tptp.'inf$e'| A__questionmark_v0) A__questionmark_v2) (|tptp.'fun_app$k'| (|tptp.'fun_app$j'| |tptp.'inf$e'| A__questionmark_v1) A__questionmark_v3)))) (forall ((A__questionmark_v0 |tptp.'A_run_set$'|) (A__questionmark_v1 |tptp.'A_run_set$'|) (A__questionmark_v2 |tptp.'A_run_set$'|)) (=> (and (|tptp.'less_eq$'| A__questionmark_v0 A__questionmark_v1) (|tptp.'less_eq$'| A__questionmark_v0 A__questionmark_v2)) (|tptp.'less_eq$'| A__questionmark_v0 (|tptp.'fun_app$f'| (|tptp.'fun_app$g'| |tptp.'inf$'| A__questionmark_v1) A__questionmark_v2)))) (forall ((A__questionmark_v0 Int) (A__questionmark_v1 Int) (A__questionmark_v2 Int)) (=> (and (<= A__questionmark_v0 A__questionmark_v1) (<= A__questionmark_v0 A__questionmark_v2)) (<= A__questionmark_v0 (|tptp.'fun_app$k'| (|tptp.'fun_app$j'| |tptp.'inf$e'| A__questionmark_v1) A__questionmark_v2)))) (forall ((A__questionmark_v0 |tptp.'A_run_set$'|) (A__questionmark_v1 |tptp.'A_run_set$'|) (A__questionmark_v2 |tptp.'A_run_set$'|)) (=> (and (|tptp.'less_eq$'| A__questionmark_v0 (|tptp.'fun_app$f'| (|tptp.'fun_app$g'| |tptp.'inf$'| A__questionmark_v1) A__questionmark_v2)) (=> (and (|tptp.'less_eq$'| A__questionmark_v0 A__questionmark_v1) (|tptp.'less_eq$'| A__questionmark_v0 A__questionmark_v2)) false)) false)) (forall ((A__questionmark_v0 Int) (A__questionmark_v1 Int) (A__questionmark_v2 Int)) (=> (and (<= A__questionmark_v0 (|tptp.'fun_app$k'| (|tptp.'fun_app$j'| |tptp.'inf$e'| A__questionmark_v1) A__questionmark_v2)) (=> (and (<= A__questionmark_v0 A__questionmark_v1) (<= A__questionmark_v0 A__questionmark_v2)) false)) false)) (forall ((A__questionmark_v0 |tptp.'A_run_set$'|) (A__questionmark_v1 |tptp.'A_run_set$'|)) (|tptp.'less_eq$'| (|tptp.'fun_app$f'| (|tptp.'fun_app$g'| |tptp.'inf$'| A__questionmark_v0) A__questionmark_v1) A__questionmark_v1)) (forall ((A__questionmark_v0 Int) (A__questionmark_v1 Int)) (<= (|tptp.'fun_app$k'| (|tptp.'fun_app$j'| |tptp.'inf$e'| A__questionmark_v0) A__questionmark_v1) A__questionmark_v1)) (forall ((A__questionmark_v0 |tptp.'A_run_set$'|) (A__questionmark_v1 |tptp.'A_run_set$'|)) (|tptp.'less_eq$'| (|tptp.'fun_app$f'| (|tptp.'fun_app$g'| |tptp.'inf$'| A__questionmark_v0) A__questionmark_v1) A__questionmark_v0)) (forall ((A__questionmark_v0 Int) (A__questionmark_v1 Int)) (<= (|tptp.'fun_app$k'| (|tptp.'fun_app$j'| |tptp.'inf$e'| A__questionmark_v0) A__questionmark_v1) A__questionmark_v0)) (forall ((A__questionmark_v0 |tptp.'A_run_set$'|) (A__questionmark_v1 |tptp.'A_run_set$'|)) (|tptp.'less_eq$'| (|tptp.'fun_app$f'| (|tptp.'fun_app$g'| |tptp.'inf$'| A__questionmark_v0) A__questionmark_v1) A__questionmark_v0)) (forall ((A__questionmark_v0 Int) (A__questionmark_v1 Int)) (<= (|tptp.'fun_app$k'| (|tptp.'fun_app$j'| |tptp.'inf$e'| A__questionmark_v0) A__questionmark_v1) A__questionmark_v0)) (forall ((A__questionmark_v0 |tptp.'A_run_set$'|) (A__questionmark_v1 |tptp.'A_run_set$'|)) (|tptp.'less_eq$'| (|tptp.'fun_app$f'| (|tptp.'fun_app$g'| |tptp.'inf$'| A__questionmark_v0) A__questionmark_v1) A__questionmark_v1)) (forall ((A__questionmark_v0 Int) (A__questionmark_v1 Int)) (<= (|tptp.'fun_app$k'| (|tptp.'fun_app$j'| |tptp.'inf$e'| A__questionmark_v0) A__questionmark_v1) A__questionmark_v1)) (forall ((A__questionmark_v0 |tptp.'A_TESL_atomic_list$'|) (A__questionmark_v1 |tptp.'A_TESL_atomic$'|)) (|tptp.'less_eq$a'| (|tptp.'set$a'| A__questionmark_v0) (|tptp.'set$a'| (|tptp.'fun_app$e'| (|tptp.'cons$'| A__questionmark_v1) A__questionmark_v0)))) (forall ((A__questionmark_v0 |tptp.'A_constr$'|) (A__questionmark_v1 |tptp.'A_constr_list$'|)) (|tptp.'less_eq$'| (|tptp.'symbolic_run_interpretation$'| (|tptp.'cons$k'| A__questionmark_v0 A__questionmark_v1)) (|tptp.'symbolic_run_interpretation$'| A__questionmark_v1))) (forall ((A__questionmark_v0 |tptp.'A_constr_list$'|) (A__questionmark_v1 |tptp.'A_constr_list$'|) (A__questionmark_v2 |tptp.'A_constr$'|)) (let ((_let_1 (|tptp.'cons$k'| A__questionmark_v2 |tptp.'nil$k'|))) (=> (|tptp.'less_eq$b'| (|tptp.'set$b'| A__questionmark_v0) (|tptp.'set$b'| A__questionmark_v1)) (|tptp.'less_eq$'| (|tptp.'symbolic_run_interpretation$'| (|tptp.'append$b'| A__questionmark_v1 _let_1)) (|tptp.'symbolic_run_interpretation$'| (|tptp.'append$b'| A__questionmark_v0 _let_1)))))) (forall ((A__questionmark_v0 |tptp.'Nat$'|) (A__questionmark_v1 |tptp.'A_TESL_atomic_list$'|)) (let ((_let_1 (|tptp.'fun_app$h'| |tptp.'of_nat$'| A__questionmark_v0))) (=> (< _let_1 (|tptp.'fun_app$h'| |tptp.'of_nat$'| (|tptp.'fun_app$af'| |tptp.'size$'| A__questionmark_v1))) (= (|tptp.'fun_app$e'| (|tptp.'take$'| (|tptp.'nat$'| (+ _let_1 1))) A__questionmark_v1) (|tptp.'fun_app$e'| (|tptp.'append$'| (|tptp.'fun_app$e'| (|tptp.'take$'| A__questionmark_v0) A__questionmark_v1)) (|tptp.'fun_app$e'| (|tptp.'cons$'| (|tptp.'nth$e'| A__questionmark_v1 A__questionmark_v0)) |tptp.'nil$'|)))))) (forall ((A__questionmark_v0 |tptp.'Nat$'|)) (= (< (|tptp.'fun_app$h'| |tptp.'of_nat$'| A__questionmark_v0) 0) false)) (forall ((A__questionmark_v0 |tptp.'Nat$'|)) (let ((_let_1 (|tptp.'fun_app$h'| |tptp.'of_nat$'| A__questionmark_v0))) (= (not (= _let_1 0)) (< 0 _let_1)))) (forall ((A__questionmark_v0 |tptp.'Nat$'|)) (let ((_let_1 (|tptp.'fun_app$h'| |tptp.'of_nat$'| A__questionmark_v0))) (= (not (= _let_1 0)) (< 0 _let_1)))) (forall ((A__questionmark_v0 |tptp.'Nat$'|) (A__questionmark_v1 |tptp.'Nat$'|)) (let ((_let_1 (|tptp.'fun_app$h'| |tptp.'of_nat$'| A__questionmark_v1))) (let ((_let_2 (|tptp.'fun_app$h'| |tptp.'of_nat$'| A__questionmark_v0))) (= (<= (+ _let_2 1) (+ _let_1 1)) (<= _let_2 _let_1))))) (forall ((A__questionmark_v0 |tptp.'Nat$'|)) (<= 0 (|tptp.'fun_app$h'| |tptp.'of_nat$'| A__questionmark_v0))) (forall ((A__questionmark_v0 |tptp.'Nat$'|)) (<= 0 (|tptp.'fun_app$h'| |tptp.'of_nat$'| A__questionmark_v0))) (forall ((A__questionmark_v0 |tptp.'Nat$'|) (A__questionmark_v1 |tptp.'Nat$'|)) (let ((_let_1 (|tptp.'fun_app$h'| |tptp.'of_nat$'| A__questionmark_v1))) (let ((_let_2 (|tptp.'fun_app$h'| |tptp.'of_nat$'| A__questionmark_v0))) (= (= (|tptp.'fun_app$k'| (|tptp.'fun_app$j'| |tptp.'times$'| _let_2) _let_1) 0) (or (= _let_2 0) (= _let_1 0)))))) (forall ((A__questionmark_v0 |tptp.'Nat$'|)) (= (* (|tptp.'fun_app$h'| |tptp.'of_nat$'| A__questionmark_v0) 0) 0)) (forall ((A__questionmark_v0 |tptp.'Nat$'|) (A__questionmark_v1 |tptp.'Nat$'|) (A__questionmark_v2 |tptp.'Nat$'|)) (let ((_let_1 (|tptp.'fun_app$h'| |tptp.'of_nat$'| A__questionmark_v0))) (let ((_let_2 (|tptp.'fun_app$h'| |tptp.'of_nat$'| A__questionmark_v2))) (let ((_let_3 (|tptp.'fun_app$h'| |tptp.'of_nat$'| A__questionmark_v1))) (let ((_let_4 (|tptp.'fun_app$j'| |tptp.'times$'| _let_1))) (= (= (|tptp.'fun_app$k'| _let_4 _let_3) (|tptp.'fun_app$k'| _let_4 _let_2)) (or (= _let_3 _let_2) (= _let_1 0)))))))) (forall ((A__questionmark_v0 |tptp.'Nat$'|) (A__questionmark_v1 |tptp.'Nat$'|) (A__questionmark_v2 |tptp.'Nat$'|)) (let ((_let_1 (|tptp.'fun_app$h'| |tptp.'of_nat$'| A__questionmark_v1))) (let ((_let_2 (|tptp.'fun_app$h'| |tptp.'of_nat$'| A__questionmark_v2))) (let ((_let_3 (|tptp.'fun_app$h'| |tptp.'of_nat$'| A__questionmark_v0))) (= (= (|tptp.'fun_app$k'| (|tptp.'fun_app$j'| |tptp.'times$'| _let_3) _let_1) (|tptp.'fun_app$k'| (|tptp.'fun_app$j'| |tptp.'times$'| _let_2) _let_1)) (or (= _let_3 _let_2) (= _let_1 0))))))) (forall ((A__questionmark_v0 |tptp.'Nat$'|)) (< 0 (+ (|tptp.'fun_app$h'| |tptp.'of_nat$'| A__questionmark_v0) 1))) (forall ((A__questionmark_v0 |tptp.'Nat$'|)) (let ((_let_1 (|tptp.'fun_app$h'| |tptp.'of_nat$'| A__questionmark_v0))) (= (< _let_1 (+ 0 1)) (= _let_1 0)))) (forall ((A__questionmark_v0 |tptp.'Nat$'|) (A__questionmark_v1 |tptp.'Nat$'|)) (let ((_let_1 (+ 0 1))) (let ((_let_2 (|tptp.'fun_app$h'| |tptp.'of_nat$'| A__questionmark_v1))) (let ((_let_3 (|tptp.'fun_app$h'| |tptp.'of_nat$'| A__questionmark_v0))) (= (= _let_1 (|tptp.'fun_app$k'| (|tptp.'fun_app$j'| |tptp.'times$'| _let_3) _let_2)) (and (= _let_3 _let_1) (= _let_2 _let_1))))))) (forall ((A__questionmark_v0 |tptp.'Nat$'|) (A__questionmark_v1 |tptp.'Nat$'|)) (let ((_let_1 (+ 0 1))) (let ((_let_2 (|tptp.'fun_app$h'| |tptp.'of_nat$'| A__questionmark_v1))) (let ((_let_3 (|tptp.'fun_app$h'| |tptp.'of_nat$'| A__questionmark_v0))) (= (= (|tptp.'fun_app$k'| (|tptp.'fun_app$j'| |tptp.'times$'| _let_3) _let_2) _let_1) (and (= _let_3 _let_1) (= _let_2 _let_1))))))) (forall ((A__questionmark_v0 |tptp.'Nat$'|) (A__questionmark_v1 |tptp.'Nat$'|)) (let ((_let_1 (|tptp.'fun_app$h'| |tptp.'of_nat$'| A__questionmark_v1))) (let ((_let_2 (|tptp.'fun_app$h'| |tptp.'of_nat$'| A__questionmark_v0))) (= (< 0 (|tptp.'fun_app$k'| (|tptp.'fun_app$j'| |tptp.'times$'| _let_2) _let_1)) (and (< 0 _let_2) (< 0 _let_1)))))) (forall ((A__questionmark_v0 |tptp.'Nat$'|) (A__questionmark_v1 |tptp.'Nat$'|) (A__questionmark_v2 |tptp.'Nat$'|)) (let ((_let_1 (|tptp.'fun_app$h'| |tptp.'of_nat$'| A__questionmark_v2))) (let ((_let_2 (|tptp.'fun_app$h'| |tptp.'of_nat$'| A__questionmark_v0))) (let ((_let_3 (|tptp.'fun_app$h'| |tptp.'of_nat$'| A__questionmark_v1))) (= (< (|tptp.'fun_app$k'| (|tptp.'fun_app$j'| |tptp.'times$'| _let_2) _let_3) (|tptp.'fun_app$k'| (|tptp.'fun_app$j'| |tptp.'times$'| _let_1) _let_3)) (and (< 0 _let_3) (< _let_2 _let_1))))))) (forall ((A__questionmark_v0 |tptp.'A_TESL_atomic$'|) (A__questionmark_v1 |tptp.'A_TESL_atomic_list$'|)) (= (|tptp.'nth$e'| (|tptp.'fun_app$e'| (|tptp.'cons$'| A__questionmark_v0) A__questionmark_v1) (|tptp.'nat$'| 0)) A__questionmark_v0)) (forall ((A__questionmark_v0 |tptp.'Nat$'|) (A__questionmark_v1 |tptp.'A_TESL_atomic$'|) (A__questionmark_v2 |tptp.'A_TESL_atomic_list$'|)) (let ((_let_1 (|tptp.'cons$'| A__questionmark_v1))) (= (|tptp.'fun_app$e'| (|tptp.'take$'| (|tptp.'nat$'| (+ (|tptp.'fun_app$h'| |tptp.'of_nat$'| A__questionmark_v0) 1))) (|tptp.'fun_app$e'| _let_1 A__questionmark_v2)) (|tptp.'fun_app$e'| _let_1 (|tptp.'fun_app$e'| (|tptp.'take$'| A__questionmark_v0) A__questionmark_v2))))) (forall ((A__questionmark_v0 |tptp.'Nat$'|) (A__questionmark_v1 |tptp.'Nat$'|)) (let ((_let_1 (|tptp.'fun_app$h'| |tptp.'of_nat$'| A__questionmark_v1))) (let ((_let_2 (+ 0 1))) (let ((_let_3 (|tptp.'fun_app$h'| |tptp.'of_nat$'| A__questionmark_v0))) (= (<= _let_2 (|tptp.'fun_app$k'| (|tptp.'fun_app$j'| |tptp.'times$'| _let_3) _let_1)) (and (<= _let_2 _let_3) (<= _let_2 _let_1))))))) (forall ((A__questionmark_v0 |tptp.'Nat$'|) (A__questionmark_v1 |tptp.'Nat$'|) (A__questionmark_v2 |tptp.'Nat$'|)) (let ((_let_1 (|tptp.'fun_app$h'| |tptp.'of_nat$'| A__questionmark_v2))) (let ((_let_2 (|tptp.'fun_app$h'| |tptp.'of_nat$'| A__questionmark_v0))) (let ((_let_3 (|tptp.'fun_app$h'| |tptp.'of_nat$'| A__questionmark_v1))) (= (<= (|tptp.'fun_app$k'| (|tptp.'fun_app$j'| |tptp.'times$'| _let_2) _let_3) (|tptp.'fun_app$k'| (|tptp.'fun_app$j'| |tptp.'times$'| _let_1) _let_3)) (=> (< 0 _let_3) (<= _let_2 _let_1))))))) (forall ((A__questionmark_v0 |tptp.'Nat$'|) (A__questionmark_v1 |tptp.'Nat$'|) (A__questionmark_v2 |tptp.'Nat$'|)) (let ((_let_1 (|tptp.'fun_app$h'| |tptp.'of_nat$'| A__questionmark_v1))) (let ((_let_2 (|tptp.'fun_app$j'| |tptp.'times$'| (|tptp.'fun_app$h'| |tptp.'of_nat$'| A__questionmark_v2)))) (let ((_let_3 (|tptp.'fun_app$h'| |tptp.'of_nat$'| A__questionmark_v0))) (=> (<= _let_3 _let_1) (<= (|tptp.'fun_app$k'| _let_2 _let_3) (|tptp.'fun_app$k'| _let_2 _let_1))))))) (forall ((A__questionmark_v0 |tptp.'Nat$'|) (A__questionmark_v1 |tptp.'Nat$'|) (A__questionmark_v2 |tptp.'Nat$'|)) (let ((_let_1 (|tptp.'fun_app$h'| |tptp.'of_nat$'| A__questionmark_v2))) (let ((_let_2 (|tptp.'fun_app$h'| |tptp.'of_nat$'| A__questionmark_v1))) (let ((_let_3 (|tptp.'fun_app$h'| |tptp.'of_nat$'| A__questionmark_v0))) (=> (<= _let_3 _let_2) (<= (|tptp.'fun_app$k'| (|tptp.'fun_app$j'| |tptp.'times$'| _let_3) _let_1) (|tptp.'fun_app$k'| (|tptp.'fun_app$j'| |tptp.'times$'| _let_2) _let_1))))))) (forall ((A__questionmark_v0 |tptp.'Nat$'|) (A__questionmark_v1 |tptp.'Nat$'|) (A__questionmark_v2 |tptp.'Nat$'|) (A__questionmark_v3 |tptp.'Nat$'|)) (let ((_let_1 (|tptp.'fun_app$h'| |tptp.'of_nat$'| A__questionmark_v3))) (let ((_let_2 (|tptp.'fun_app$h'| |tptp.'of_nat$'| A__questionmark_v1))) (let ((_let_3 (|tptp.'fun_app$h'| |tptp.'of_nat$'| A__questionmark_v2))) (let ((_let_4 (|tptp.'fun_app$h'| |tptp.'of_nat$'| A__questionmark_v0))) (=> (and (<= _let_4 _let_2) (<= _let_3 _let_1)) (<= (|tptp.'fun_app$k'| (|tptp.'fun_app$j'| |tptp.'times$'| _let_4) _let_3) (|tptp.'fun_app$k'| (|tptp.'fun_app$j'| |tptp.'times$'| _let_2) _let_1)))))))) (forall ((A__questionmark_v0 |tptp.'Nat$'|)) (let ((_let_1 (|tptp.'fun_app$h'| |tptp.'of_nat$'| A__questionmark_v0))) (<= _let_1 (|tptp.'fun_app$k'| (|tptp.'fun_app$j'| |tptp.'times$'| _let_1) _let_1)))) (forall ((A__questionmark_v0 |tptp.'Nat$'|)) (let ((_let_1 (|tptp.'fun_app$h'| |tptp.'of_nat$'| A__questionmark_v0))) (let ((_let_2 (|tptp.'fun_app$j'| |tptp.'times$'| _let_1))) (<= _let_1 (|tptp.'fun_app$k'| _let_2 (|tptp.'fun_app$k'| _let_2 _let_1)))))) (forall ((A__questionmark_v0 |tptp.'Nat$'|)) (= (<= 0 (|tptp.'fun_app$h'| |tptp.'of_nat$'| A__questionmark_v0)) true)) (forall ((A__questionmark_v0 |tptp.'Nat$'|)) (let ((_let_1 (|tptp.'fun_app$h'| |tptp.'of_nat$'| A__questionmark_v0))) (= (<= _let_1 0) (= _let_1 0)))) (forall ((A__questionmark_v0 |tptp.'Nat$'|)) (let ((_let_1 (|tptp.'fun_app$h'| |tptp.'of_nat$'| A__questionmark_v0))) (=> (<= _let_1 0) (= _let_1 0)))) (forall ((A__questionmark_v0 |tptp.'Nat$'|)) (let ((_let_1 (|tptp.'fun_app$h'| |tptp.'of_nat$'| A__questionmark_v0))) (= (<= _let_1 0) (= _let_1 0)))) (forall ((A__questionmark_v0 |tptp.'Nat$'|)) (let ((_let_1 (|tptp.'fun_app$h'| |tptp.'of_nat$'| A__questionmark_v0))) (<= _let_1 _let_1))) (forall ((A__questionmark_v0 |tptp.'Nat$'|) (A__questionmark_v1 |tptp.'Nat$'|) (A__questionmark_v2 |tptp.'Nat$'|)) (let ((_let_1 (|tptp.'fun_app$h'| |tptp.'of_nat$'| A__questionmark_v2))) (let ((_let_2 (|tptp.'fun_app$h'| |tptp.'of_nat$'| A__questionmark_v0))) (let ((_let_3 (|tptp.'fun_app$h'| |tptp.'of_nat$'| A__questionmark_v1))) (=> (and (<= _let_2 _let_3) (<= _let_3 _let_1)) (<= _let_2 _let_1)))))) (forall ((A__questionmark_v0 |tptp.'Nat$'|) (A__questionmark_v1 |tptp.'Nat$'|)) (let ((_let_1 (|tptp.'fun_app$h'| |tptp.'of_nat$'| A__questionmark_v1))) (let ((_let_2 (|tptp.'fun_app$h'| |tptp.'of_nat$'| A__questionmark_v0))) (=> (= _let_2 _let_1) (<= _let_2 _let_1))))) (forall ((A__questionmark_v0 |tptp.'Nat$'|) (A__questionmark_v1 |tptp.'Nat$'|)) (let ((_let_1 (|tptp.'fun_app$h'| |tptp.'of_nat$'| A__questionmark_v1))) (let ((_let_2 (|tptp.'fun_app$h'| |tptp.'of_nat$'| A__questionmark_v0))) (=> (and (<= _let_2 _let_1) (<= _let_1 _let_2)) (= _let_2 _let_1))))) (forall ((A__questionmark_v0 |tptp.'Nat$'|) (A__questionmark_v1 |tptp.'Nat$'|)) (let ((_let_1 (|tptp.'fun_app$h'| |tptp.'of_nat$'| A__questionmark_v0))) (let ((_let_2 (|tptp.'fun_app$h'| |tptp.'of_nat$'| A__questionmark_v1))) (or (<= _let_1 _let_2) (<= _let_2 _let_1))))) (forall ((A__questionmark_v0 |tptp.'Nat_bool_fun$'|) (A__questionmark_v1 |tptp.'Nat$'|) (A__questionmark_v2 |tptp.'Nat$'|)) (=> (and (|tptp.'fun_app$ai'| A__questionmark_v0 A__questionmark_v1) (forall ((A__questionmark_v3 |tptp.'Nat$'|)) (=> (|tptp.'fun_app$ai'| A__questionmark_v0 A__questionmark_v3) (<= (|tptp.'fun_app$h'| |tptp.'of_nat$'| A__questionmark_v3) (|tptp.'fun_app$h'| |tptp.'of_nat$'| A__questionmark_v2))))) (exists ((A__questionmark_v3 |tptp.'Nat$'|)) (and (|tptp.'fun_app$ai'| A__questionmark_v0 A__questionmark_v3) (forall ((A__questionmark_v4 |tptp.'Nat$'|)) (=> (|tptp.'fun_app$ai'| A__questionmark_v0 A__questionmark_v4) (<= (|tptp.'fun_app$h'| |tptp.'of_nat$'| A__questionmark_v4) (|tptp.'fun_app$h'| |tptp.'of_nat$'| A__questionmark_v3)))))))) (forall ((A__questionmark_v0 |tptp.'Nat$'|) (A__questionmark_v1 |tptp.'Nat_bool_fun$'|)) (= (forall ((A__questionmark_v2 |tptp.'Nat$'|)) (=> (<= (|tptp.'fun_app$h'| |tptp.'of_nat$'| A__questionmark_v0) (|tptp.'fun_app$h'| |tptp.'of_nat$'| A__questionmark_v2)) (|tptp.'fun_app$ai'| A__questionmark_v1 A__questionmark_v2))) (and (|tptp.'fun_app$ai'| A__questionmark_v1 A__questionmark_v0) (forall ((A__questionmark_v2 |tptp.'Nat$'|)) (=> (<= (+ (|tptp.'fun_app$h'| |tptp.'of_nat$'| A__questionmark_v0) 1) (|tptp.'fun_app$h'| |tptp.'of_nat$'| A__questionmark_v2)) (|tptp.'fun_app$ai'| A__questionmark_v1 A__questionmark_v2)))))) (forall ((A__questionmark_v0 |tptp.'Nat$'|) (A__questionmark_v1 |tptp.'Nat_bool_fun$'|)) (= (exists ((A__questionmark_v2 |tptp.'Nat$'|)) (and (<= (|tptp.'fun_app$h'| |tptp.'of_nat$'| A__questionmark_v0) (|tptp.'fun_app$h'| |tptp.'of_nat$'| A__questionmark_v2)) (|tptp.'fun_app$ai'| A__questionmark_v1 A__questionmark_v2))) (or (|tptp.'fun_app$ai'| A__questionmark_v1 A__questionmark_v0) (exists ((A__questionmark_v2 |tptp.'Nat$'|)) (and (<= (+ (|tptp.'fun_app$h'| |tptp.'of_nat$'| A__questionmark_v0) 1) (|tptp.'fun_app$h'| |tptp.'of_nat$'| A__questionmark_v2)) (|tptp.'fun_app$ai'| A__questionmark_v1 A__questionmark_v2)))))) (forall ((A__questionmark_v0 |tptp.'Nat$'|) (A__questionmark_v1 |tptp.'Nat$'|) (A__questionmark_v2 |tptp.'Nat_nat_bool_fun_fun$'|)) (=> (and (<= (|tptp.'fun_app$h'| |tptp.'of_nat$'| A__questionmark_v0) (|tptp.'fun_app$h'| |tptp.'of_nat$'| A__questionmark_v1)) (forall ((A__questionmark_v3 |tptp.'Nat$'|)) (|tptp.'fun_app$ai'| (|tptp.'fun_app$aj'| A__questionmark_v2 A__questionmark_v3) A__questionmark_v3)) (forall ((A__questionmark_v3 |tptp.'Nat$'|) (A__questionmark_v4 |tptp.'Nat$'|) (A__questionmark_v5 |tptp.'Nat$'|)) (let ((_let_1 (|tptp.'fun_app$aj'| A__questionmark_v2 A__questionmark_v3))) (=> (and (|tptp.'fun_app$ai'| _let_1 A__questionmark_v4) (|tptp.'fun_app$ai'| (|tptp.'fun_app$aj'| A__questionmark_v2 A__questionmark_v4) A__questionmark_v5)) (|tptp.'fun_app$ai'| _let_1 A__questionmark_v5)))) (forall ((A__questionmark_v3 |tptp.'Nat$'|)) (|tptp.'fun_app$ai'| (|tptp.'fun_app$aj'| A__questionmark_v2 A__questionmark_v3) (|tptp.'nat$'| (+ (|tptp.'fun_app$h'| |tptp.'of_nat$'| A__questionmark_v3) 1))))) (|tptp.'fun_app$ai'| (|tptp.'fun_app$aj'| A__questionmark_v2 A__questionmark_v0) A__questionmark_v1))) (forall ((A__questionmark_v0 |tptp.'Nat$'|) (A__questionmark_v1 |tptp.'Nat$'|) (A__questionmark_v2 |tptp.'Nat_bool_fun$'|)) (=> (and (<= (|tptp.'fun_app$h'| |tptp.'of_nat$'| A__questionmark_v0) (|tptp.'fun_app$h'| |tptp.'of_nat$'| A__questionmark_v1)) (|tptp.'fun_app$ai'| A__questionmark_v2 A__questionmark_v0) (forall ((A__questionmark_v3 |tptp.'Nat$'|)) (let ((_let_1 (|tptp.'fun_app$h'| |tptp.'of_nat$'| A__questionmark_v3))) (=> (and (<= (|tptp.'fun_app$h'| |tptp.'of_nat$'| A__questionmark_v0) _let_1) (|tptp.'fun_app$ai'| A__questionmark_v2 A__questionmark_v3)) (|tptp.'fun_app$ai'| A__questionmark_v2 (|tptp.'nat$'| (+ _let_1 1))))))) (|tptp.'fun_app$ai'| A__questionmark_v2 A__questionmark_v1))) (forall ((A__questionmark_v0 |tptp.'Nat_bool_fun$'|) (A__questionmark_v1 |tptp.'Nat$'|)) (=> (forall ((A__questionmark_v2 |tptp.'Nat$'|)) (=> (forall ((A__questionmark_v3 |tptp.'Nat$'|)) (=> (<= (+ (|tptp.'fun_app$h'| |tptp.'of_nat$'| A__questionmark_v3) 1) (|tptp.'fun_app$h'| |tptp.'of_nat$'| A__questionmark_v2)) (|tptp.'fun_app$ai'| A__questionmark_v0 A__questionmark_v3))) (|tptp.'fun_app$ai'| A__questionmark_v0 A__questionmark_v2))) (|tptp.'fun_app$ai'| A__questionmark_v0 A__questionmark_v1))) (forall ((A__questionmark_v0 |tptp.'Nat$'|) (A__questionmark_v1 |tptp.'Nat$'|)) (let ((_let_1 (|tptp.'fun_app$h'| |tptp.'of_nat$'| A__questionmark_v0))) (let ((_let_2 (|tptp.'fun_app$h'| |tptp.'of_nat$'| A__questionmark_v1))) (= (not (<= _let_1 _let_2)) (<= (+ _let_2 1) _let_1))))) (forall ((A__questionmark_v0 |tptp.'Nat$'|)) (let ((_let_1 (|tptp.'fun_app$h'| |tptp.'of_nat$'| A__questionmark_v0))) (not (<= (+ _let_1 1) _let_1)))) (forall ((A__questionmark_v0 |tptp.'Nat$'|) (A__questionmark_v1 |tptp.'Nat$'|)) (let ((_let_1 (|tptp.'fun_app$h'| |tptp.'of_nat$'| A__questionmark_v1))) (let ((_let_2 (+ _let_1 1))) (let ((_let_3 (|tptp.'fun_app$h'| |tptp.'of_nat$'| A__questionmark_v0))) (= (<= _let_3 _let_2) (or (<= _let_3 _let_1) (= _let_3 _let_2))))))) (forall ((A__questionmark_v0 |tptp.'Nat$'|) (A__questionmark_v1 |tptp.'Nat$'|)) (=> (<= (+ (|tptp.'fun_app$h'| |tptp.'of_nat$'| A__questionmark_v0) 1) (|tptp.'fun_app$h'| |tptp.'of_nat$'| A__questionmark_v1)) (exists ((A__questionmark_v2 |tptp.'Nat$'|)) (= (|tptp.'fun_app$h'| |tptp.'of_nat$'| A__questionmark_v1) (+ (|tptp.'fun_app$h'| |tptp.'of_nat$'| A__questionmark_v2) 1))))) (forall ((A__questionmark_v0 |tptp.'Nat$'|) (A__questionmark_v1 |tptp.'Nat$'|)) (let ((_let_1 (|tptp.'fun_app$h'| |tptp.'of_nat$'| A__questionmark_v1))) (let ((_let_2 (|tptp.'fun_app$h'| |tptp.'of_nat$'| A__questionmark_v0))) (=> (<= _let_2 _let_1) (<= _let_2 (+ _let_1 1)))))) (forall ((A__questionmark_v0 |tptp.'Nat$'|) (A__questionmark_v1 |tptp.'Nat$'|)) (let ((_let_1 (|tptp.'fun_app$h'| |tptp.'of_nat$'| A__questionmark_v1))) (let ((_let_2 (+ _let_1 1))) (let ((_let_3 (|tptp.'fun_app$h'| |tptp.'of_nat$'| A__questionmark_v0))) (=> (and (<= _let_3 _let_2) (=> (<= _let_3 _let_1) false) (=> (= _let_3 _let_2) false)) false))))) (forall ((A__questionmark_v0 |tptp.'Nat$'|) (A__questionmark_v1 |tptp.'Nat$'|)) (let ((_let_1 (|tptp.'fun_app$h'| |tptp.'of_nat$'| A__questionmark_v1))) (let ((_let_2 (|tptp.'fun_app$h'| |tptp.'of_nat$'| A__questionmark_v0))) (=> (<= (+ _let_2 1) _let_1) (<= _let_2 _let_1))))) (forall ((A__questionmark_v0 |tptp.'A_constr_list_nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod_prod_set$'|) (A__questionmark_v1 |tptp.'A_constr_list_nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod_prod_set$'|)) (=> (forall ((A__questionmark_v2 |tptp.'A_constr_list$'|) (A__questionmark_v3 |tptp.'Nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod$'|)) (let ((_let_1 (|tptp.'pair$'| A__questionmark_v2 A__questionmark_v3))) (=> (|tptp.'member$f'| _let_1 A__questionmark_v0) (|tptp.'member$f'| _let_1 A__questionmark_v1)))) (|tptp.'less_eq$c'| A__questionmark_v0 A__questionmark_v1))) (forall ((A__questionmark_v0 |tptp.'Nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod_set$'|) (A__questionmark_v1 |tptp.'Nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod_set$'|)) (=> (forall ((A__questionmark_v2 |tptp.'Nat$'|) (A__questionmark_v3 |tptp.'A_TESL_atomic_list_a_TESL_atomic_list_prod$'|)) (let ((_let_1 (|tptp.'pair$a'| A__questionmark_v2 A__questionmark_v3))) (=> (|tptp.'member$a'| _let_1 A__questionmark_v0) (|tptp.'member$a'| _let_1 A__questionmark_v1)))) (|tptp.'less_eq$d'| A__questionmark_v0 A__questionmark_v1))) (forall ((A__questionmark_v0 |tptp.'A_TESL_atomic_list_a_TESL_atomic_list_prod_set$'|) (A__questionmark_v1 |tptp.'A_TESL_atomic_list_a_TESL_atomic_list_prod_set$'|)) (=> (forall ((A__questionmark_v2 |tptp.'A_TESL_atomic_list$'|) (A__questionmark_v3 |tptp.'A_TESL_atomic_list$'|)) (let ((_let_1 (|tptp.'pair$b'| A__questionmark_v2 A__questionmark_v3))) (=> (|tptp.'member$h'| _let_1 A__questionmark_v0) (|tptp.'member$h'| _let_1 A__questionmark_v1)))) (|tptp.'less_eq$e'| A__questionmark_v0 A__questionmark_v1))) (forall ((A__questionmark_v0 |tptp.'Nat$'|) (A__questionmark_v1 |tptp.'Nat$'|)) (let ((_let_1 (|tptp.'fun_app$h'| |tptp.'of_nat$'| A__questionmark_v1))) (let ((_let_2 (|tptp.'fun_app$h'| |tptp.'of_nat$'| A__questionmark_v0))) (= (< _let_2 _let_1) (and (<= _let_2 _let_1) (not (= _let_2 _let_1))))))) (forall ((A__questionmark_v0 |tptp.'Nat_bool_fun$'|) (A__questionmark_v1 |tptp.'Nat$'|)) (=> (and (|tptp.'fun_app$ai'| A__questionmark_v0 A__questionmark_v1) (not (|tptp.'fun_app$ai'| A__questionmark_v0 (|tptp.'nat$'| 0)))) (exists ((A__questionmark_v2 |tptp.'Nat$'|)) (and (<= (|tptp.'fun_app$h'| |tptp.'of_nat$'| A__questionmark_v2) (|tptp.'fun_app$h'| |tptp.'of_nat$'| A__questionmark_v1)) (forall ((A__questionmark_v3 |tptp.'Nat$'|)) (=> (< (|tptp.'fun_app$h'| |tptp.'of_nat$'| A__questionmark_v3) (|tptp.'fun_app$h'| |tptp.'of_nat$'| A__questionmark_v2)) (not (|tptp.'fun_app$ai'| A__questionmark_v0 A__questionmark_v3)))) (|tptp.'fun_app$ai'| A__questionmark_v0 A__questionmark_v2))))) (forall ((A__questionmark_v0 |tptp.'Nat$'|) (A__questionmark_v1 |tptp.'Nat$'|)) (let ((_let_1 (|tptp.'fun_app$h'| |tptp.'of_nat$'| A__questionmark_v1))) (let ((_let_2 (|tptp.'fun_app$h'| |tptp.'of_nat$'| A__questionmark_v0))) (=> (< _let_2 _let_1) (<= _let_2 _let_1))))) (forall ((A__questionmark_v0 |tptp.'Nat$'|) (A__questionmark_v1 |tptp.'Nat$'|)) (let ((_let_1 (|tptp.'fun_app$h'| |tptp.'of_nat$'| A__questionmark_v1))) (let ((_let_2 (|tptp.'fun_app$h'| |tptp.'of_nat$'| A__questionmark_v0))) (= (<= _let_2 _let_1) (or (< _let_2 _let_1) (= _let_2 _let_1)))))) (forall ((A__questionmark_v0 |tptp.'Nat_bool_fun$'|) (A__questionmark_v1 |tptp.'Nat$'|)) (=> (and (|tptp.'fun_app$ai'| A__questionmark_v0 A__questionmark_v1) (not (|tptp.'fun_app$ai'| A__questionmark_v0 (|tptp.'nat$'| 0)))) (exists ((A__questionmark_v2 |tptp.'Nat$'|)) (let ((_let_1 (|tptp.'fun_app$h'| |tptp.'of_nat$'| A__questionmark_v2))) (and (< _let_1 (|tptp.'fun_app$h'| |tptp.'of_nat$'| A__questionmark_v1)) (forall ((A__questionmark_v3 |tptp.'Nat$'|)) (=> (<= (|tptp.'fun_app$h'| |tptp.'of_nat$'| A__questionmark_v3) (|tptp.'fun_app$h'| |tptp.'of_nat$'| A__questionmark_v2)) (not (|tptp.'fun_app$ai'| A__questionmark_v0 A__questionmark_v3)))) (|tptp.'fun_app$ai'| A__questionmark_v0 (|tptp.'nat$'| (+ _let_1 1)))))))) (forall ((A__questionmark_v0 |tptp.'Nat$'|) (A__questionmark_v1 |tptp.'Nat$'|)) (let ((_let_1 (|tptp.'fun_app$h'| |tptp.'of_nat$'| A__questionmark_v1))) (let ((_let_2 (|tptp.'fun_app$h'| |tptp.'of_nat$'| A__questionmark_v0))) (=> (or (< _let_2 _let_1) (= _let_2 _let_1)) (<= _let_2 _let_1))))) (forall ((A__questionmark_v0 |tptp.'Nat$'|) (A__questionmark_v1 |tptp.'Nat$'|)) (let ((_let_1 (|tptp.'fun_app$h'| |tptp.'of_nat$'| A__questionmark_v1))) (let ((_let_2 (|tptp.'fun_app$h'| |tptp.'of_nat$'| A__questionmark_v0))) (=> (and (<= _let_2 _let_1) (not (= _let_2 _let_1))) (< _let_2 _let_1))))) (forall ((A__questionmark_v0 |tptp.'Nat_nat_fun$'|) (A__questionmark_v1 |tptp.'Nat$'|) (A__questionmark_v2 |tptp.'Nat$'|)) (=> (and (forall ((A__questionmark_v3 |tptp.'Nat$'|) (A__questionmark_v4 |tptp.'Nat$'|)) (=> (< (|tptp.'fun_app$h'| |tptp.'of_nat$'| A__questionmark_v3) (|tptp.'fun_app$h'| |tptp.'of_nat$'| A__questionmark_v4)) (< (|tptp.'fun_app$h'| |tptp.'of_nat$'| (|tptp.'fun_app$ak'| A__questionmark_v0 A__questionmark_v3)) (|tptp.'fun_app$h'| |tptp.'of_nat$'| (|tptp.'fun_app$ak'| A__questionmark_v0 A__questionmark_v4))))) (<= (|tptp.'fun_app$h'| |tptp.'of_nat$'| A__questionmark_v1) (|tptp.'fun_app$h'| |tptp.'of_nat$'| A__questionmark_v2))) (<= (|tptp.'fun_app$h'| |tptp.'of_nat$'| (|tptp.'fun_app$ak'| A__questionmark_v0 A__questionmark_v1)) (|tptp.'fun_app$h'| |tptp.'of_nat$'| (|tptp.'fun_app$ak'| A__questionmark_v0 A__questionmark_v2))))) (forall ((A__questionmark_v0 |tptp.'Nat_bool_fun$'|) (A__questionmark_v1 |tptp.'Nat$'|)) (=> (and (|tptp.'fun_app$ai'| A__questionmark_v0 (|tptp.'nat$'| 0)) (forall ((A__questionmark_v2 |tptp.'Nat$'|)) (=> (and (< 0 (|tptp.'fun_app$h'| |tptp.'of_nat$'| A__questionmark_v2)) (not (|tptp.'fun_app$ai'| A__questionmark_v0 A__questionmark_v2))) (exists ((A__questionmark_v3 |tptp.'Nat$'|)) (and (< (|tptp.'fun_app$h'| |tptp.'of_nat$'| A__questionmark_v3) (|tptp.'fun_app$h'| |tptp.'of_nat$'| A__questionmark_v2)) (not (|tptp.'fun_app$ai'| A__questionmark_v0 A__questionmark_v3))))))) (|tptp.'fun_app$ai'| A__questionmark_v0 A__questionmark_v1))) (forall ((A__questionmark_v0 |tptp.'Nat$'|) (A__questionmark_v1 |tptp.'Nat$'|)) (let ((_let_1 (|tptp.'fun_app$h'| |tptp.'of_nat$'| A__questionmark_v1))) (=> (< (|tptp.'fun_app$h'| |tptp.'of_nat$'| A__questionmark_v0) _let_1) (not (= _let_1 0))))) (forall ((A__questionmark_v0 |tptp.'Nat$'|)) (=> (< (|tptp.'fun_app$h'| |tptp.'of_nat$'| A__questionmark_v0) 0) false)) (forall ((A__questionmark_v0 |tptp.'Nat$'|)) (not (< (|tptp.'fun_app$h'| |tptp.'of_nat$'| A__questionmark_v0) 0))) (forall ((A__questionmark_v0 |tptp.'Nat$'|)) (let ((_let_1 (|tptp.'fun_app$h'| |tptp.'of_nat$'| A__questionmark_v0))) (= (not (< 0 _let_1)) (= _let_1 0)))) (forall ((A__questionmark_v0 |tptp.'Nat$'|)) (let ((_let_1 (|tptp.'fun_app$h'| |tptp.'of_nat$'| A__questionmark_v0))) (=> (=> (= _let_1 0) false) (< 0 _let_1)))) (forall ((A__questionmark_v0 |tptp.'Nat$'|)) (not (< (|tptp.'fun_app$h'| |tptp.'of_nat$'| A__questionmark_v0) 0))) (forall ((A__questionmark_v0 |tptp.'Nat$'|)) (not (= 0 (+ (|tptp.'fun_app$h'| |tptp.'of_nat$'| A__questionmark_v0) 1)))) (forall ((A__questionmark_v0 |tptp.'Nat$'|)) (not (= (+ (|tptp.'fun_app$h'| |tptp.'of_nat$'| A__questionmark_v0) 1) 0))) (forall ((A__questionmark_v0 |tptp.'Nat$'|)) (not (= 0 (+ (|tptp.'fun_app$h'| |tptp.'of_nat$'| A__questionmark_v0) 1)))) (forall ((A__questionmark_v0 |tptp.'Nat$'|) (A__questionmark_v1 |tptp.'Nat$'|)) (let ((_let_1 (|tptp.'fun_app$h'| |tptp.'of_nat$'| A__questionmark_v0))) (=> (= _let_1 (+ (|tptp.'fun_app$h'| |tptp.'of_nat$'| A__questionmark_v1) 1)) (not (= _let_1 0))))) (forall ((A__questionmark_v0 |tptp.'Nat$'|)) (=> (and (=> (= (|tptp.'fun_app$h'| |tptp.'of_nat$'| A__questionmark_v0) 0) false) (forall ((A__questionmark_v1 |tptp.'Nat$'|)) (=> (= (|tptp.'fun_app$h'| |tptp.'of_nat$'| A__questionmark_v0) (+ (|tptp.'fun_app$h'| |tptp.'of_nat$'| A__questionmark_v1) 1)) false))) false)) (forall ((A__questionmark_v0 |tptp.'Nat_bool_fun$'|) (A__questionmark_v1 |tptp.'Nat$'|)) (=> (and (|tptp.'fun_app$ai'| A__questionmark_v0 (|tptp.'nat$'| 0)) (forall ((A__questionmark_v2 |tptp.'Nat$'|)) (=> (|tptp.'fun_app$ai'| A__questionmark_v0 A__questionmark_v2) (|tptp.'fun_app$ai'| A__questionmark_v0 (|tptp.'nat$'| (+ (|tptp.'fun_app$h'| |tptp.'of_nat$'| A__questionmark_v2) 1)))))) (|tptp.'fun_app$ai'| A__questionmark_v0 A__questionmark_v1))) (forall ((A__questionmark_v0 |tptp.'Nat_nat_bool_fun_fun$'|) (A__questionmark_v1 |tptp.'Nat$'|) (A__questionmark_v2 |tptp.'Nat$'|)) (=> (and (forall ((A__questionmark_v3 |tptp.'Nat$'|)) (|tptp.'fun_app$ai'| (|tptp.'fun_app$aj'| A__questionmark_v0 A__questionmark_v3) (|tptp.'nat$'| 0))) (forall ((A__questionmark_v3 |tptp.'Nat$'|)) (|tptp.'fun_app$ai'| (|tptp.'fun_app$aj'| A__questionmark_v0 (|tptp.'nat$'| 0)) (|tptp.'nat$'| (+ (|tptp.'fun_app$h'| |tptp.'of_nat$'| A__questionmark_v3) 1)))) (forall ((A__questionmark_v3 |tptp.'Nat$'|) (A__questionmark_v4 |tptp.'Nat$'|)) (=> (|tptp.'fun_app$ai'| (|tptp.'fun_app$aj'| A__questionmark_v0 A__questionmark_v3) A__questionmark_v4) (|tptp.'fun_app$ai'| (|tptp.'fun_app$aj'| A__questionmark_v0 (|tptp.'nat$'| (+ (|tptp.'fun_app$h'| |tptp.'of_nat$'| A__questionmark_v3) 1))) (|tptp.'nat$'| (+ (|tptp.'fun_app$h'| |tptp.'of_nat$'| A__questionmark_v4) 1)))))) (|tptp.'fun_app$ai'| (|tptp.'fun_app$aj'| A__questionmark_v0 A__questionmark_v1) A__questionmark_v2))) (forall ((A__questionmark_v0 |tptp.'Nat_bool_fun$'|) (A__questionmark_v1 |tptp.'Nat$'|)) (=> (and (|tptp.'fun_app$ai'| A__questionmark_v0 A__questionmark_v1) (forall ((A__questionmark_v2 |tptp.'Nat$'|)) (=> (|tptp.'fun_app$ai'| A__questionmark_v0 (|tptp.'nat$'| (+ (|tptp.'fun_app$h'| |tptp.'of_nat$'| A__questionmark_v2) 1))) (|tptp.'fun_app$ai'| A__questionmark_v0 A__questionmark_v2)))) (|tptp.'fun_app$ai'| A__questionmark_v0 (|tptp.'nat$'| 0)))) (forall ((A__questionmark_v0 |tptp.'Nat$'|)) (=> (= (+ (|tptp.'fun_app$h'| |tptp.'of_nat$'| A__questionmark_v0) 1) 0) false)) (forall ((A__questionmark_v0 |tptp.'Nat$'|)) (=> (= 0 (+ (|tptp.'fun_app$h'| |tptp.'of_nat$'| A__questionmark_v0) 1)) false)) (forall ((A__questionmark_v0 |tptp.'Nat$'|)) (not (= 0 (+ (|tptp.'fun_app$h'| |tptp.'of_nat$'| A__questionmark_v0) 1)))) (forall ((A__questionmark_v0 |tptp.'Nat$'|)) (=> (not (= (|tptp.'fun_app$h'| |tptp.'of_nat$'| A__questionmark_v0) 0)) (exists ((A__questionmark_v1 |tptp.'Nat$'|)) (= (|tptp.'fun_app$h'| |tptp.'of_nat$'| A__questionmark_v0) (+ (|tptp.'fun_app$h'| |tptp.'of_nat$'| A__questionmark_v1) 1))))) (forall ((A__questionmark_v0 |tptp.'Nat$'|)) (let ((_let_1 (= (|tptp.'fun_app$h'| |tptp.'of_nat$'| A__questionmark_v0) 0))) (=> (and (=> _let_1 false) (=> (not _let_1) false)) false))) (forall ((A__questionmark_v0 |tptp.'Nat$'|)) (<= 0 (|tptp.'fun_app$h'| |tptp.'of_nat$'| A__questionmark_v0))) (forall ((A__questionmark_v0 |tptp.'Nat$'|)) (= (|tptp.'nat$'| (|tptp.'fun_app$h'| |tptp.'of_nat$'| A__questionmark_v0)) A__questionmark_v0)) (forall ((A__questionmark_v0 Int)) (let ((_let_1 (|tptp.'fun_app$h'| |tptp.'of_nat$'| (|tptp.'nat$'| A__questionmark_v0)))) (let ((_let_2 (<= 0 A__questionmark_v0))) (and (=> _let_2 (= _let_1 A__questionmark_v0)) (=> (not _let_2) (= _let_1 0)))))) true))))))))))))
% 15.85/16.19  )
% 15.85/16.19  % SZS output end Proof for ITP001_1
% 15.85/16.19  % cvc5---1.0.5 exiting
% 15.85/16.20  % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------