%------------------------------------------------------------------------------
% 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 : n015.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 03:33:32 EDT 2023

% Result   : Theorem 0.62s 1.27s
% Output   : Proof 0.62s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.22/0.26  % Problem    : ITP001_1 : TPTP v8.1.2. Released v8.1.0.
% 0.22/0.27  % Command    : do_cvc5 %s %d
% 0.26/0.49  % Computer : n015.cluster.edu
% 0.26/0.49  % Model    : x86_64 x86_64
% 0.26/0.49  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.26/0.49  % Memory   : 8042.1875MB
% 0.26/0.49  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.26/0.49  % CPULimit   : 300
% 0.26/0.49  % WCLimit    : 300
% 0.26/0.49  % DateTime   : Sun Aug 27 16:24:39 EDT 2023
% 0.26/0.49  % CPUTime    : 
% 0.61/0.76  %----Proving TF0_ARI
% 0.62/1.27  ------- convert to smt2 : /export/starexec/sandbox/tmp/tmp.0Iw8kf46h1/cvc5---1.0.5_32548.p...
% 0.62/1.27  ------- get file name : TPTP file name is ITP001_1
% 0.62/1.27  ------- cvc5-tfa : /export/starexec/sandbox/solver/bin/cvc5---1.0.5_32548.smt2...
% 0.62/1.27  --- Run --finite-model-find --decision=internal at 15...
% 0.62/1.27  % SZS status Theorem for ITP001_1
% 0.62/1.27  % SZS output start Proof for ITP001_1
% 0.62/1.27  (
% 0.62/1.27  (let ((_let_1 (|tptp.'cons$d'| |tptp.'nil$'| |tptp.'nil$a'|))) (let ((_let_2 (|tptp.'cons$c'| |tptp.'nil$d'| |tptp.'nil$b'|))) (let ((_let_3 (|tptp.'cons$b'| |tptp.'nil$a'| |tptp.'nil$o'|))) (let ((_let_4 (|tptp.'cons$a'| |tptp.'nil$c'| |tptp.'nil$n'|))) (let ((_let_5 (|tptp.'cons$'| |tptp.'nil$b'| |tptp.'nil$m'|))) (let ((_let_6 (forall ((A__questionmark_v0 |tptp.'A_ltln_list_list$'|) (A__questionmark_v1 |tptp.'A_ltln_list_list$'|)) (=> (and (not (= A__questionmark_v0 |tptp.'nil$b'|)) (not (= A__questionmark_v1 |tptp.'nil$b'|))) (not (= (|tptp.'product$'| A__questionmark_v0 A__questionmark_v1) |tptp.'nil$'|)))))) (let ((_let_7 (forall ((A__questionmark_v0 |tptp.'A_ltln_list$'|)) (not (= (|tptp.'fun_app$d'| |tptp.'subseqs$'| A__questionmark_v0) |tptp.'nil$b'|))))) (let ((_let_8 (|tptp.'fun_app$e'| |tptp.'subformulas_nu_list$'| |tptp.'phi$'|))) (let ((_let_9 (|tptp.'fun_app$d'| |tptp.'subseqs$'| _let_8))) (let ((_let_10 (|tptp.'fun_app$e'| |tptp.'subformulas_mu_list$'| |tptp.'phi$'|))) (let ((_let_11 (|tptp.'fun_app$d'| |tptp.'subseqs$'| _let_10))) (let ((_let_12 (not (not (= (|tptp.'product$'| _let_11 _let_9) |tptp.'nil$'|))))) (let ((_let_13 (forall ((A__questionmark_v0 |tptp.'A_ltln_list$'|)) (not (= |tptp.'nil$b'| (|tptp.'fun_app$d'| |tptp.'subseqs$'| A__questionmark_v0)))))) (let ((_let_14 (= |tptp.'nil$b'| _let_9))) (let ((_let_15 (EQ_RESOLVE (ASSUME :args (_let_7)) (MACRO_SR_EQ_INTRO :args (_let_7 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_16 (= |tptp.'nil$b'| _let_11))) (let ((_let_17 (or _let_16 _let_14))) (let ((_let_18 (forall ((A__questionmark_v0 |tptp.'A_ltln_list_list$'|) (A__questionmark_v1 |tptp.'A_ltln_list_list$'|)) (or (= |tptp.'nil$b'| A__questionmark_v0) (= |tptp.'nil$b'| A__questionmark_v1) (not (= (|tptp.'product$'| (|tptp.'fun_app$d'| |tptp.'subseqs$'| (|tptp.'fun_app$e'| |tptp.'subformulas_mu_list$'| |tptp.'phi$'|)) (|tptp.'fun_app$d'| |tptp.'subseqs$'| (|tptp.'fun_app$e'| |tptp.'subformulas_nu_list$'| |tptp.'phi$'|))) (|tptp.'product$'| A__questionmark_v0 A__questionmark_v1))))))) (let ((_let_19 (EQ_RESOLVE (ASSUME :args (_let_6)) (TRANS (MACRO_SR_EQ_INTRO :args (_let_6 SB_DEFAULT SBA_FIXPOINT)) (MACRO_SR_EQ_INTRO (EQ_RESOLVE (ASSUME :args (_let_12)) (MACRO_SR_EQ_INTRO :args (_let_12 SB_DEFAULT SBA_FIXPOINT))) :args ((forall ((A__questionmark_v0 |tptp.'A_ltln_list_list$'|) (A__questionmark_v1 |tptp.'A_ltln_list_list$'|)) (or (= |tptp.'nil$b'| A__questionmark_v0) (= |tptp.'nil$b'| A__questionmark_v1) (not (= |tptp.'nil$'| (|tptp.'product$'| A__questionmark_v0 A__questionmark_v1))))) SB_DEFAULT SBA_FIXPOINT)))))) (let ((_let_20 (_let_13))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_15 :args (_let_8 QUANTIFIERS_INST_CBQI_CONFLICT)) :args _let_20)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_17)) :args ((or _let_14 _let_16 (not _let_17)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_15 :args (_let_10 QUANTIFIERS_INST_CBQI_CONFLICT)) :args _let_20)) _let_15 :args ((not _let_16) false _let_13)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_19 :args (_let_11 _let_9 QUANTIFIERS_INST_CBQI_PROP)) :args (_let_18)))) _let_19 :args (_let_17 false _let_18)) :args (_let_14 true _let_16 false _let_17)) _let_15 :args (false false _let_14 false _let_13)) :args ((forall ((A__questionmark_v0 |tptp.'A_ltln_list_a_ltln_list_prod_set$'|) (A__questionmark_v1 |tptp.'A_ltln_list_a_ltln_list_prod$'|)) (= (|tptp.'fun_app$'| (|tptp.'uub$'| A__questionmark_v0) A__questionmark_v1) (|tptp.'member$'| A__questionmark_v1 A__questionmark_v0))) (forall ((A__questionmark_v0 |tptp.'A_ltln_list_a_ltln_list_prod_list_set$'|) (A__questionmark_v1 |tptp.'A_ltln_list_a_ltln_list_prod_list$'|)) (= (|tptp.'fun_app$a'| (|tptp.'uu$'| A__questionmark_v0) A__questionmark_v1) (|tptp.'member$a'| A__questionmark_v1 A__questionmark_v0))) (forall ((A__questionmark_v0 |tptp.'A_ltln_list_set$'|) (A__questionmark_v1 |tptp.'A_ltln_list$'|)) (= (|tptp.'fun_app$b'| (|tptp.'uua$'| A__questionmark_v0) A__questionmark_v1) (|tptp.'member$b'| A__questionmark_v1 A__questionmark_v0))) (forall ((A__questionmark_v0 |tptp.'Nat_set$'|) (A__questionmark_v1 |tptp.'Nat$'|)) (= (|tptp.'fun_app$c'| (|tptp.'uuc$'| A__questionmark_v0) A__questionmark_v1) (|tptp.'member$c'| A__questionmark_v1 A__questionmark_v0))) _let_12 (forall ((A__questionmark_v0 |tptp.'A_ltln_list_a_ltln_list_prod_list$'|)) (not (= (|tptp.'fun_app$f'| |tptp.'subseqs$a'| A__questionmark_v0) |tptp.'nil$a'|))) _let_7 _let_6 (forall ((A__questionmark_v0 |tptp.'A_ltln_list_a_ltln_list_prod_list$'|) (A__questionmark_v1 |tptp.'A_ltln_list_a_ltln_list_prod_list$'|)) (=> (and (not (= A__questionmark_v0 |tptp.'nil$'|)) (not (= A__questionmark_v1 |tptp.'nil$'|))) (not (= (|tptp.'product$a'| A__questionmark_v0 A__questionmark_v1) |tptp.'nil$c'|)))) (forall ((A__questionmark_v0 |tptp.'A_ltln_list$'|) (A__questionmark_v1 |tptp.'A_ltln_list$'|)) (=> (and (not (= A__questionmark_v0 |tptp.'nil$d'|)) (not (= A__questionmark_v1 |tptp.'nil$d'|))) (not (= (|tptp.'product$b'| A__questionmark_v0 A__questionmark_v1) |tptp.'nil$e'|)))) (forall ((A__questionmark_v0 |tptp.'A_ltln_list_list$'|) (A__questionmark_v1 |tptp.'A_ltln_list$'|)) (=> (and (not (= A__questionmark_v0 |tptp.'nil$b'|)) (not (= A__questionmark_v1 |tptp.'nil$d'|))) (not (= (|tptp.'product$c'| A__questionmark_v0 A__questionmark_v1) |tptp.'nil$f'|)))) (forall ((A__questionmark_v0 |tptp.'A_ltln_list$'|) (A__questionmark_v1 |tptp.'A_ltln_list_list$'|)) (=> (and (not (= A__questionmark_v0 |tptp.'nil$d'|)) (not (= A__questionmark_v1 |tptp.'nil$b'|))) (not (= (|tptp.'product$d'| A__questionmark_v0 A__questionmark_v1) |tptp.'nil$g'|)))) (forall ((A__questionmark_v0 |tptp.'A_ltln_list_a_ltln_list_prod_list$'|) (A__questionmark_v1 |tptp.'A_ltln_list$'|)) (=> (and (not (= A__questionmark_v0 |tptp.'nil$'|)) (not (= A__questionmark_v1 |tptp.'nil$d'|))) (not (= (|tptp.'product$e'| A__questionmark_v0 A__questionmark_v1) |tptp.'nil$h'|)))) (forall ((A__questionmark_v0 |tptp.'A_ltln_list$'|) (A__questionmark_v1 |tptp.'A_ltln_list_a_ltln_list_prod_list$'|)) (=> (and (not (= A__questionmark_v0 |tptp.'nil$d'|)) (not (= A__questionmark_v1 |tptp.'nil$'|))) (not (= (|tptp.'product$f'| A__questionmark_v0 A__questionmark_v1) |tptp.'nil$i'|)))) (forall ((A__questionmark_v0 |tptp.'A_ltln_list_a_ltln_list_prod_list$'|) (A__questionmark_v1 |tptp.'A_ltln_list_list$'|)) (=> (and (not (= A__questionmark_v0 |tptp.'nil$'|)) (not (= A__questionmark_v1 |tptp.'nil$b'|))) (not (= (|tptp.'product$g'| A__questionmark_v0 A__questionmark_v1) |tptp.'nil$j'|)))) (forall ((A__questionmark_v0 |tptp.'A_ltln_list_list$'|) (A__questionmark_v1 |tptp.'A_ltln_list_a_ltln_list_prod_list$'|)) (=> (and (not (= A__questionmark_v0 |tptp.'nil$b'|)) (not (= A__questionmark_v1 |tptp.'nil$'|))) (not (= (|tptp.'product$h'| A__questionmark_v0 A__questionmark_v1) |tptp.'nil$k'|)))) (forall ((A__questionmark_v0 |tptp.'A_ltln_list_a_ltln_list_prod_list_list$'|) (A__questionmark_v1 |tptp.'A_ltln_list$'|)) (=> (and (not (= A__questionmark_v0 |tptp.'nil$a'|)) (not (= A__questionmark_v1 |tptp.'nil$d'|))) (not (= (|tptp.'product$i'| A__questionmark_v0 A__questionmark_v1) |tptp.'nil$l'|)))) (forall ((A__questionmark_v0 |tptp.'A_ltln$'|)) (= (|tptp.'fun_app$g'| |tptp.'advice_sets$'| A__questionmark_v0) (|tptp.'product$'| (|tptp.'fun_app$d'| |tptp.'subseqs$'| (|tptp.'fun_app$e'| |tptp.'subformulas_mu_list$'| A__questionmark_v0)) (|tptp.'fun_app$d'| |tptp.'subseqs$'| (|tptp.'fun_app$e'| |tptp.'subformulas_nu_list$'| A__questionmark_v0))))) (forall ((A__questionmark_v0 |tptp.'A_ltln_list_a_ltln_list_prod_list$'|)) (= (|tptp.'product$a'| |tptp.'nil$'| A__questionmark_v0) |tptp.'nil$c'|)) (forall ((A__questionmark_v0 |tptp.'A_ltln_list_list$'|)) (= (|tptp.'product$'| |tptp.'nil$b'| A__questionmark_v0) |tptp.'nil$'|)) (forall ((A__questionmark_v0 |tptp.'A_ltln_list_list$'|)) (let ((_let_1 (= A__questionmark_v0 |tptp.'nil$b'|))) (=> (and (=> _let_1 false) (=> (not _let_1) false)) false))) (forall ((A__questionmark_v0 |tptp.'A_ltln_list_a_ltln_list_prod_a_ltln_list_a_ltln_list_prod_prod_list$'|)) (let ((_let_1 (= A__questionmark_v0 |tptp.'nil$c'|))) (=> (and (=> _let_1 false) (=> (not _let_1) false)) false))) (forall ((A__questionmark_v0 |tptp.'A_ltln_list_a_ltln_list_prod_list_list$'|)) (let ((_let_1 (= A__questionmark_v0 |tptp.'nil$a'|))) (=> (and (=> _let_1 false) (=> (not _let_1) false)) false))) (forall ((A__questionmark_v0 |tptp.'A_ltln_list$'|)) (let ((_let_1 (= A__questionmark_v0 |tptp.'nil$d'|))) (=> (and (=> _let_1 false) (=> (not _let_1) false)) false))) (forall ((A__questionmark_v0 |tptp.'A_ltln_list_a_ltln_list_prod_list$'|)) (let ((_let_1 (= A__questionmark_v0 |tptp.'nil$'|))) (=> (and (=> _let_1 false) (=> (not _let_1) false)) false))) (forall ((A__questionmark_v0 |tptp.'A_ltln_list_a_ltln_list_prod_list$'|)) (= (|tptp.'fun_app$h'| (|tptp.'zip$'| |tptp.'nil$'|) A__questionmark_v0) |tptp.'nil$c'|)) (forall ((A__questionmark_v0 |tptp.'A_ltln_list_list$'|)) (= (|tptp.'fun_app$i'| (|tptp.'zip$a'| |tptp.'nil$b'|) A__questionmark_v0) |tptp.'nil$'|)) (forall ((A__questionmark_v0 |tptp.'A_ltln_list_list$'|) (A__questionmark_v1 |tptp.'A_ltln_list_list$'|)) (= (= |tptp.'nil$'| (|tptp.'fun_app$i'| (|tptp.'zip$a'| A__questionmark_v0) A__questionmark_v1)) (or (= A__questionmark_v0 |tptp.'nil$b'|) (= A__questionmark_v1 |tptp.'nil$b'|)))) (forall ((A__questionmark_v0 |tptp.'A_ltln_list_a_ltln_list_prod_list$'|) (A__questionmark_v1 |tptp.'A_ltln_list_a_ltln_list_prod_list$'|)) (= (= |tptp.'nil$c'| (|tptp.'fun_app$h'| (|tptp.'zip$'| A__questionmark_v0) A__questionmark_v1)) (or (= A__questionmark_v0 |tptp.'nil$'|) (= A__questionmark_v1 |tptp.'nil$'|)))) (forall ((A__questionmark_v0 |tptp.'A_ltln_list$'|) (A__questionmark_v1 |tptp.'A_ltln_list$'|)) (= (= |tptp.'nil$e'| (|tptp.'zip$b'| A__questionmark_v0 A__questionmark_v1)) (or (= A__questionmark_v0 |tptp.'nil$d'|) (= A__questionmark_v1 |tptp.'nil$d'|)))) (forall ((A__questionmark_v0 |tptp.'A_ltln_list_list$'|) (A__questionmark_v1 |tptp.'A_ltln_list$'|)) (= (= |tptp.'nil$f'| (|tptp.'zip$c'| A__questionmark_v0 A__questionmark_v1)) (or (= A__questionmark_v0 |tptp.'nil$b'|) (= A__questionmark_v1 |tptp.'nil$d'|)))) (forall ((A__questionmark_v0 |tptp.'A_ltln_list$'|) (A__questionmark_v1 |tptp.'A_ltln_list_list$'|)) (= (= |tptp.'nil$g'| (|tptp.'zip$d'| A__questionmark_v0 A__questionmark_v1)) (or (= A__questionmark_v0 |tptp.'nil$d'|) (= A__questionmark_v1 |tptp.'nil$b'|)))) (forall ((A__questionmark_v0 |tptp.'A_ltln_list_a_ltln_list_prod_list$'|) (A__questionmark_v1 |tptp.'A_ltln_list$'|)) (= (= |tptp.'nil$h'| (|tptp.'zip$e'| A__questionmark_v0 A__questionmark_v1)) (or (= A__questionmark_v0 |tptp.'nil$'|) (= A__questionmark_v1 |tptp.'nil$d'|)))) (forall ((A__questionmark_v0 |tptp.'A_ltln_list$'|) (A__questionmark_v1 |tptp.'A_ltln_list_a_ltln_list_prod_list$'|)) (= (= |tptp.'nil$i'| (|tptp.'zip$f'| A__questionmark_v0 A__questionmark_v1)) (or (= A__questionmark_v0 |tptp.'nil$d'|) (= A__questionmark_v1 |tptp.'nil$'|)))) (forall ((A__questionmark_v0 |tptp.'A_ltln_list_a_ltln_list_prod_list$'|) (A__questionmark_v1 |tptp.'A_ltln_list_list$'|)) (= (= |tptp.'nil$j'| (|tptp.'zip$g'| A__questionmark_v0 A__questionmark_v1)) (or (= A__questionmark_v0 |tptp.'nil$'|) (= A__questionmark_v1 |tptp.'nil$b'|)))) (forall ((A__questionmark_v0 |tptp.'A_ltln_list_list$'|) (A__questionmark_v1 |tptp.'A_ltln_list_a_ltln_list_prod_list$'|)) (= (= |tptp.'nil$k'| (|tptp.'zip$h'| A__questionmark_v0 A__questionmark_v1)) (or (= A__questionmark_v0 |tptp.'nil$b'|) (= A__questionmark_v1 |tptp.'nil$'|)))) (forall ((A__questionmark_v0 |tptp.'A_ltln_list_a_ltln_list_prod_list_list$'|) (A__questionmark_v1 |tptp.'A_ltln_list$'|)) (= (= |tptp.'nil$l'| (|tptp.'zip$i'| A__questionmark_v0 A__questionmark_v1)) (or (= A__questionmark_v0 |tptp.'nil$a'|) (= A__questionmark_v1 |tptp.'nil$d'|)))) (forall ((A__questionmark_v0 |tptp.'A_ltln_list_list$'|) (A__questionmark_v1 |tptp.'A_ltln_list_list$'|)) (= (= (|tptp.'fun_app$i'| (|tptp.'zip$a'| A__questionmark_v0) A__questionmark_v1) |tptp.'nil$'|) (or (= A__questionmark_v0 |tptp.'nil$b'|) (= A__questionmark_v1 |tptp.'nil$b'|)))) (forall ((A__questionmark_v0 |tptp.'A_ltln_list_a_ltln_list_prod_list$'|) (A__questionmark_v1 |tptp.'A_ltln_list_a_ltln_list_prod_list$'|)) (= (= (|tptp.'fun_app$h'| (|tptp.'zip$'| A__questionmark_v0) A__questionmark_v1) |tptp.'nil$c'|) (or (= A__questionmark_v0 |tptp.'nil$'|) (= A__questionmark_v1 |tptp.'nil$'|)))) (forall ((A__questionmark_v0 |tptp.'A_ltln_list$'|) (A__questionmark_v1 |tptp.'A_ltln_list$'|)) (= (= (|tptp.'zip$b'| A__questionmark_v0 A__questionmark_v1) |tptp.'nil$e'|) (or (= A__questionmark_v0 |tptp.'nil$d'|) (= A__questionmark_v1 |tptp.'nil$d'|)))) (forall ((A__questionmark_v0 |tptp.'A_ltln_list_list$'|) (A__questionmark_v1 |tptp.'A_ltln_list$'|)) (= (= (|tptp.'zip$c'| A__questionmark_v0 A__questionmark_v1) |tptp.'nil$f'|) (or (= A__questionmark_v0 |tptp.'nil$b'|) (= A__questionmark_v1 |tptp.'nil$d'|)))) (forall ((A__questionmark_v0 |tptp.'A_ltln_list$'|) (A__questionmark_v1 |tptp.'A_ltln_list_list$'|)) (= (= (|tptp.'zip$d'| A__questionmark_v0 A__questionmark_v1) |tptp.'nil$g'|) (or (= A__questionmark_v0 |tptp.'nil$d'|) (= A__questionmark_v1 |tptp.'nil$b'|)))) (forall ((A__questionmark_v0 |tptp.'A_ltln_list_a_ltln_list_prod_list$'|) (A__questionmark_v1 |tptp.'A_ltln_list$'|)) (= (= (|tptp.'zip$e'| A__questionmark_v0 A__questionmark_v1) |tptp.'nil$h'|) (or (= A__questionmark_v0 |tptp.'nil$'|) (= A__questionmark_v1 |tptp.'nil$d'|)))) (forall ((A__questionmark_v0 |tptp.'A_ltln_list$'|) (A__questionmark_v1 |tptp.'A_ltln_list_a_ltln_list_prod_list$'|)) (= (= (|tptp.'zip$f'| A__questionmark_v0 A__questionmark_v1) |tptp.'nil$i'|) (or (= A__questionmark_v0 |tptp.'nil$d'|) (= A__questionmark_v1 |tptp.'nil$'|)))) (forall ((A__questionmark_v0 |tptp.'A_ltln_list_a_ltln_list_prod_list$'|) (A__questionmark_v1 |tptp.'A_ltln_list_list$'|)) (= (= (|tptp.'zip$g'| A__questionmark_v0 A__questionmark_v1) |tptp.'nil$j'|) (or (= A__questionmark_v0 |tptp.'nil$'|) (= A__questionmark_v1 |tptp.'nil$b'|)))) (forall ((A__questionmark_v0 |tptp.'A_ltln_list_list$'|) (A__questionmark_v1 |tptp.'A_ltln_list_a_ltln_list_prod_list$'|)) (= (= (|tptp.'zip$h'| A__questionmark_v0 A__questionmark_v1) |tptp.'nil$k'|) (or (= A__questionmark_v0 |tptp.'nil$b'|) (= A__questionmark_v1 |tptp.'nil$'|)))) (forall ((A__questionmark_v0 |tptp.'A_ltln_list_a_ltln_list_prod_list_list$'|) (A__questionmark_v1 |tptp.'A_ltln_list$'|)) (= (= (|tptp.'zip$i'| A__questionmark_v0 A__questionmark_v1) |tptp.'nil$l'|) (or (= A__questionmark_v0 |tptp.'nil$a'|) (= A__questionmark_v1 |tptp.'nil$d'|)))) (= (|tptp.'subseqs$b'| |tptp.'nil$b'|) _let_5) (= (|tptp.'subseqs$c'| |tptp.'nil$c'|) _let_4) (= (|tptp.'subseqs$d'| |tptp.'nil$a'|) _let_3) (= (|tptp.'fun_app$d'| |tptp.'subseqs$'| |tptp.'nil$d'|) _let_2) (= (|tptp.'fun_app$f'| |tptp.'subseqs$a'| |tptp.'nil$'|) _let_1) (forall ((A__questionmark_v0 |tptp.'A_ltln_list_bool_fun$'|)) (= (|tptp.'fun_app$j'| (|tptp.'list_ex1$'| A__questionmark_v0) |tptp.'nil$b'|) false)) (forall ((A__questionmark_v0 |tptp.'A_ltln_list_a_ltln_list_prod_a_ltln_list_a_ltln_list_prod_prod_bool_fun$'|)) (= (|tptp.'fun_app$k'| (|tptp.'list_ex1$a'| A__questionmark_v0) |tptp.'nil$c'|) false)) (forall ((A__questionmark_v0 |tptp.'A_ltln_list_a_ltln_list_prod_list_bool_fun$'|)) (= (|tptp.'fun_app$l'| (|tptp.'list_ex1$b'| A__questionmark_v0) |tptp.'nil$a'|) false)) (forall ((A__questionmark_v0 |tptp.'A_ltln_bool_fun$'|)) (= (|tptp.'fun_app$b'| (|tptp.'list_ex1$c'| A__questionmark_v0) |tptp.'nil$d'|) false)) (forall ((A__questionmark_v0 |tptp.'A_ltln_list_a_ltln_list_prod_bool_fun$'|)) (= (|tptp.'fun_app$a'| (|tptp.'list_ex1$d'| A__questionmark_v0) |tptp.'nil$'|) false)) (forall ((A__questionmark_v0 |tptp.'A_ltln_list_a_ltln_list_prod_list$'|)) (= (|tptp.'fun_app$h'| (|tptp.'zip$'| A__questionmark_v0) |tptp.'nil$'|) |tptp.'nil$c'|)) (forall ((A__questionmark_v0 |tptp.'A_ltln_list_list$'|)) (= (|tptp.'fun_app$i'| (|tptp.'zip$a'| A__questionmark_v0) |tptp.'nil$b'|) |tptp.'nil$'|)) (forall ((A__questionmark_v0 |tptp.'A_ltln_list_a_ltln_list_prod_a_ltln_list_a_ltln_list_prod_list_fun$'|)) (= (|tptp.'bind$'| |tptp.'nil$'| A__questionmark_v0) |tptp.'nil$'|)) (forall ((A__questionmark_v0 |tptp.'A_ltln_a_ltln_list_fun$'|)) (= (|tptp.'bind$a'| |tptp.'nil$d'| A__questionmark_v0) |tptp.'nil$d'|)) (forall ((A__questionmark_v0 |tptp.'A_ltln_list_a_ltln_list_fun$'|)) (= (|tptp.'bind$b'| |tptp.'nil$b'| A__questionmark_v0) |tptp.'nil$d'|)) (forall ((A__questionmark_v0 |tptp.'A_ltln_a_ltln_list_list_fun$'|)) (= (|tptp.'bind$c'| |tptp.'nil$d'| A__questionmark_v0) |tptp.'nil$b'|)) (forall ((A__questionmark_v0 |tptp.'A_ltln_list_a_ltln_list_list_fun$'|)) (= (|tptp.'bind$d'| |tptp.'nil$b'| A__questionmark_v0) |tptp.'nil$b'|)) (forall ((A__questionmark_v0 |tptp.'A_ltln_list_a_ltln_list_prod_a_ltln_list_fun$'|)) (= (|tptp.'bind$e'| |tptp.'nil$'| A__questionmark_v0) |tptp.'nil$d'|)) (forall ((A__questionmark_v0 |tptp.'A_ltln_a_ltln_list_a_ltln_list_prod_list_fun$'|)) (= (|tptp.'bind$f'| |tptp.'nil$d'| A__questionmark_v0) |tptp.'nil$'|)) (forall ((A__questionmark_v0 |tptp.'A_ltln_list_a_ltln_list_prod_a_ltln_list_list_fun$'|)) (= (|tptp.'bind$g'| |tptp.'nil$'| A__questionmark_v0) |tptp.'nil$b'|)) (forall ((A__questionmark_v0 |tptp.'A_ltln_list_a_ltln_list_a_ltln_list_prod_list_fun$'|)) (= (|tptp.'bind$h'| |tptp.'nil$b'| A__questionmark_v0) |tptp.'nil$'|)) (forall ((A__questionmark_v0 |tptp.'A_ltln_list_a_ltln_list_prod_list_a_ltln_list_fun$'|)) (= (|tptp.'bind$i'| |tptp.'nil$a'| A__questionmark_v0) |tptp.'nil$d'|)) (forall ((A__questionmark_v0 |tptp.'A_ltln_list$'|)) (= (|tptp.'fun_app$b'| (|tptp.'fun_app$m'| |tptp.'member$d'| |tptp.'nil$b'|) A__questionmark_v0) false)) (forall ((A__questionmark_v0 |tptp.'A_ltln_list_a_ltln_list_prod_a_ltln_list_a_ltln_list_prod_prod$'|)) (= (|tptp.'fun_app$n'| (|tptp.'member$e'| |tptp.'nil$c'|) A__questionmark_v0) false)) (forall ((A__questionmark_v0 |tptp.'A_ltln_list_a_ltln_list_prod_list$'|)) (= (|tptp.'fun_app$a'| (|tptp.'member$f'| |tptp.'nil$a'|) A__questionmark_v0) false)) (forall ((A__questionmark_v0 |tptp.'A_ltln$'|)) (= (|tptp.'fun_app$o'| (|tptp.'fun_app$p'| |tptp.'member$g'| |tptp.'nil$d'|) A__questionmark_v0) false)) (forall ((A__questionmark_v0 |tptp.'A_ltln_list_a_ltln_list_prod$'|)) (= (|tptp.'fun_app$'| (|tptp.'member$h'| |tptp.'nil$'|) A__questionmark_v0) false)) (forall ((A__questionmark_v0 |tptp.'A_ltln$'|)) (= (|tptp.'fun_app$e'| |tptp.'subformulas_mu_list$'| (|tptp.'fun_app$q'| |tptp.'next_ltln$'| A__questionmark_v0)) (|tptp.'fun_app$e'| |tptp.'subformulas_mu_list$'| A__questionmark_v0))) (forall ((A__questionmark_v0 |tptp.'A_ltln_list_a_ltln_list_prod_list$'|) (A__questionmark_v1 |tptp.'A_ltln_list_a_ltln_list_prod_list_list$'|) (A__questionmark_v2 |tptp.'A_ltln_list_a_ltln_list_prod_list$'|) (A__questionmark_v3 |tptp.'A_ltln_list_a_ltln_list_prod_list_list$'|)) (= (= (|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_ltln_list$'|) (A__questionmark_v1 |tptp.'A_ltln_list_list$'|) (A__questionmark_v2 |tptp.'A_ltln_list$'|) (A__questionmark_v3 |tptp.'A_ltln_list_list$'|)) (= (= (|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.'A_ltln_list_a_ltln_list_prod$'|) (A__questionmark_v1 |tptp.'A_ltln_list_a_ltln_list_prod_list$'|) (A__questionmark_v2 |tptp.'A_ltln_list_a_ltln_list_prod$'|) (A__questionmark_v3 |tptp.'A_ltln_list_a_ltln_list_prod_list$'|)) (= (= (|tptp.'fun_app$r'| (|tptp.'fun_app$s'| |tptp.'cons$e'| A__questionmark_v0) A__questionmark_v1) (|tptp.'fun_app$r'| (|tptp.'fun_app$s'| |tptp.'cons$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_ltln$'|) (A__questionmark_v1 |tptp.'A_ltln_list$'|) (A__questionmark_v2 |tptp.'A_ltln$'|) (A__questionmark_v3 |tptp.'A_ltln_list$'|)) (= (= (|tptp.'fun_app$t'| (|tptp.'cons$f'| A__questionmark_v0) A__questionmark_v1) (|tptp.'fun_app$t'| (|tptp.'cons$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_ltln_list_a_ltln_list_prod_list$'|) (A__questionmark_v1 |tptp.'A_ltln_list_a_ltln_list_prod_list_list$'|) (A__questionmark_v2 |tptp.'A_ltln_list_a_ltln_list_prod_list$'|)) (= (|tptp.'fun_app$a'| (|tptp.'member$f'| (|tptp.'cons$d'| A__questionmark_v0 A__questionmark_v1)) A__questionmark_v2) (or (= A__questionmark_v0 A__questionmark_v2) (|tptp.'fun_app$a'| (|tptp.'member$f'| A__questionmark_v1) A__questionmark_v2)))) (forall ((A__questionmark_v0 |tptp.'A_ltln_list$'|) (A__questionmark_v1 |tptp.'A_ltln_list_list$'|) (A__questionmark_v2 |tptp.'A_ltln_list$'|)) (= (|tptp.'fun_app$b'| (|tptp.'fun_app$m'| |tptp.'member$d'| (|tptp.'cons$c'| A__questionmark_v0 A__questionmark_v1)) A__questionmark_v2) (or (= A__questionmark_v0 A__questionmark_v2) (|tptp.'fun_app$b'| (|tptp.'fun_app$m'| |tptp.'member$d'| A__questionmark_v1) A__questionmark_v2)))) (forall ((A__questionmark_v0 |tptp.'A_ltln_list_a_ltln_list_prod$'|) (A__questionmark_v1 |tptp.'A_ltln_list_a_ltln_list_prod_list$'|) (A__questionmark_v2 |tptp.'A_ltln_list_a_ltln_list_prod$'|)) (= (|tptp.'fun_app$'| (|tptp.'member$h'| (|tptp.'fun_app$r'| (|tptp.'fun_app$s'| |tptp.'cons$e'| A__questionmark_v0) A__questionmark_v1)) A__questionmark_v2) (or (= A__questionmark_v0 A__questionmark_v2) (|tptp.'fun_app$'| (|tptp.'member$h'| A__questionmark_v1) A__questionmark_v2)))) (forall ((A__questionmark_v0 |tptp.'A_ltln$'|) (A__questionmark_v1 |tptp.'A_ltln_list$'|) (A__questionmark_v2 |tptp.'A_ltln$'|)) (= (|tptp.'fun_app$o'| (|tptp.'fun_app$p'| |tptp.'member$g'| (|tptp.'fun_app$t'| (|tptp.'cons$f'| A__questionmark_v0) A__questionmark_v1)) A__questionmark_v2) (or (= A__questionmark_v0 A__questionmark_v2) (|tptp.'fun_app$o'| (|tptp.'fun_app$p'| |tptp.'member$g'| A__questionmark_v1) A__questionmark_v2)))) (forall ((A__questionmark_v0 |tptp.'A_ltln_list_a_ltln_list_prod_a_ltln_list_a_ltln_list_prod_prod_list_list$'|)) (=> (and (=> (= A__questionmark_v0 |tptp.'nil$n'|) false) (forall ((A__questionmark_v1 |tptp.'A_ltln_list_a_ltln_list_prod_a_ltln_list_a_ltln_list_prod_prod_list_list$'|)) (=> (= A__questionmark_v0 (|tptp.'cons$a'| |tptp.'nil$c'| A__questionmark_v1)) false)) (forall ((A__questionmark_v1 |tptp.'A_ltln_list_a_ltln_list_prod_a_ltln_list_a_ltln_list_prod_prod$'|) (A__questionmark_v2 |tptp.'A_ltln_list_a_ltln_list_prod_a_ltln_list_a_ltln_list_prod_prod_list$'|) (A__questionmark_v3 |tptp.'A_ltln_list_a_ltln_list_prod_a_ltln_list_a_ltln_list_prod_prod_list_list$'|)) (=> (= A__questionmark_v0 (|tptp.'cons$a'| (|tptp.'cons$g'| A__questionmark_v1 A__questionmark_v2) A__questionmark_v3)) false))) false)) (forall ((A__questionmark_v0 |tptp.'A_ltln_list_a_ltln_list_prod_list_list_list$'|)) (=> (and (=> (= A__questionmark_v0 |tptp.'nil$o'|) false) (forall ((A__questionmark_v1 |tptp.'A_ltln_list_a_ltln_list_prod_list_list_list$'|)) (=> (= A__questionmark_v0 (|tptp.'cons$b'| |tptp.'nil$a'| A__questionmark_v1)) false)) (forall ((A__questionmark_v1 |tptp.'A_ltln_list_a_ltln_list_prod_list$'|) (A__questionmark_v2 |tptp.'A_ltln_list_a_ltln_list_prod_list_list$'|) (A__questionmark_v3 |tptp.'A_ltln_list_a_ltln_list_prod_list_list_list$'|)) (=> (= A__questionmark_v0 (|tptp.'cons$b'| (|tptp.'cons$d'| A__questionmark_v1 A__questionmark_v2) A__questionmark_v3)) false))) false)) (forall ((A__questionmark_v0 |tptp.'A_ltln_list_list_list$'|)) (=> (and (=> (= A__questionmark_v0 |tptp.'nil$m'|) false) (forall ((A__questionmark_v1 |tptp.'A_ltln_list_list_list$'|)) (=> (= A__questionmark_v0 (|tptp.'cons$'| |tptp.'nil$b'| A__questionmark_v1)) false)) (forall ((A__questionmark_v1 |tptp.'A_ltln_list$'|) (A__questionmark_v2 |tptp.'A_ltln_list_list$'|) (A__questionmark_v3 |tptp.'A_ltln_list_list_list$'|)) (=> (= A__questionmark_v0 (|tptp.'cons$'| (|tptp.'cons$c'| A__questionmark_v1 A__questionmark_v2) A__questionmark_v3)) false))) false)) (forall ((A__questionmark_v0 |tptp.'A_ltln_list_list$'|)) (=> (and (=> (= A__questionmark_v0 |tptp.'nil$b'|) false) (forall ((A__questionmark_v1 |tptp.'A_ltln_list_list$'|)) (=> (= A__questionmark_v0 (|tptp.'cons$c'| |tptp.'nil$d'| A__questionmark_v1)) false)) (forall ((A__questionmark_v1 |tptp.'A_ltln$'|) (A__questionmark_v2 |tptp.'A_ltln_list$'|) (A__questionmark_v3 |tptp.'A_ltln_list_list$'|)) (=> (= A__questionmark_v0 (|tptp.'cons$c'| (|tptp.'fun_app$t'| (|tptp.'cons$f'| A__questionmark_v1) A__questionmark_v2) A__questionmark_v3)) false))) false)) (forall ((A__questionmark_v0 |tptp.'A_ltln_list_a_ltln_list_prod_list_list$'|)) (=> (and (=> (= A__questionmark_v0 |tptp.'nil$a'|) false) (forall ((A__questionmark_v1 |tptp.'A_ltln_list_a_ltln_list_prod_list_list$'|)) (=> (= A__questionmark_v0 (|tptp.'cons$d'| |tptp.'nil$'| A__questionmark_v1)) false)) (forall ((A__questionmark_v1 |tptp.'A_ltln_list_a_ltln_list_prod$'|) (A__questionmark_v2 |tptp.'A_ltln_list_a_ltln_list_prod_list$'|) (A__questionmark_v3 |tptp.'A_ltln_list_a_ltln_list_prod_list_list$'|)) (=> (= A__questionmark_v0 (|tptp.'cons$d'| (|tptp.'fun_app$r'| (|tptp.'fun_app$s'| |tptp.'cons$e'| A__questionmark_v1) A__questionmark_v2) A__questionmark_v3)) false))) false)) (forall ((A__questionmark_v0 |tptp.'A_ltln_list_a_ltln_list_prod_list$'|) (A__questionmark_v1 |tptp.'A_ltln_list_a_ltln_list_prod_list_list$'|)) (not (= (|tptp.'cons$d'| A__questionmark_v0 A__questionmark_v1) A__questionmark_v1))) (forall ((A__questionmark_v0 |tptp.'A_ltln_list$'|) (A__questionmark_v1 |tptp.'A_ltln_list_list$'|)) (not (= (|tptp.'cons$c'| A__questionmark_v0 A__questionmark_v1) A__questionmark_v1))) (forall ((A__questionmark_v0 |tptp.'A_ltln_list_a_ltln_list_prod$'|) (A__questionmark_v1 |tptp.'A_ltln_list_a_ltln_list_prod_list$'|)) (not (= (|tptp.'fun_app$r'| (|tptp.'fun_app$s'| |tptp.'cons$e'| A__questionmark_v0) A__questionmark_v1) A__questionmark_v1))) (forall ((A__questionmark_v0 |tptp.'A_ltln$'|) (A__questionmark_v1 |tptp.'A_ltln_list$'|)) (not (= (|tptp.'fun_app$t'| (|tptp.'cons$f'| A__questionmark_v0) A__questionmark_v1) A__questionmark_v1))) (forall ((A__questionmark_v0 |tptp.'A_ltln_list_a_ltln_list_prod_a_ltln_list_a_ltln_list_prod_prod_list$'|) (A__questionmark_v1 |tptp.'A_ltln_list_a_ltln_list_prod_a_ltln_list_a_ltln_list_prod_prod_list_bool_fun$'|)) (=> (and (not (= A__questionmark_v0 |tptp.'nil$c'|)) (forall ((A__questionmark_v2 |tptp.'A_ltln_list_a_ltln_list_prod_a_ltln_list_a_ltln_list_prod_prod$'|)) (|tptp.'fun_app$k'| A__questionmark_v1 (|tptp.'cons$g'| A__questionmark_v2 |tptp.'nil$c'|))) (forall ((A__questionmark_v2 |tptp.'A_ltln_list_a_ltln_list_prod_a_ltln_list_a_ltln_list_prod_prod$'|) (A__questionmark_v3 |tptp.'A_ltln_list_a_ltln_list_prod_a_ltln_list_a_ltln_list_prod_prod_list$'|)) (=> (and (not (= A__questionmark_v3 |tptp.'nil$c'|)) (|tptp.'fun_app$k'| A__questionmark_v1 A__questionmark_v3)) (|tptp.'fun_app$k'| A__questionmark_v1 (|tptp.'cons$g'| A__questionmark_v2 A__questionmark_v3))))) (|tptp.'fun_app$k'| A__questionmark_v1 A__questionmark_v0))) (forall ((A__questionmark_v0 |tptp.'A_ltln_list_a_ltln_list_prod_list_list$'|) (A__questionmark_v1 |tptp.'A_ltln_list_a_ltln_list_prod_list_list_bool_fun$'|)) (=> (and (not (= A__questionmark_v0 |tptp.'nil$a'|)) (forall ((A__questionmark_v2 |tptp.'A_ltln_list_a_ltln_list_prod_list$'|)) (|tptp.'fun_app$l'| A__questionmark_v1 (|tptp.'cons$d'| A__questionmark_v2 |tptp.'nil$a'|))) (forall ((A__questionmark_v2 |tptp.'A_ltln_list_a_ltln_list_prod_list$'|) (A__questionmark_v3 |tptp.'A_ltln_list_a_ltln_list_prod_list_list$'|)) (=> (and (not (= A__questionmark_v3 |tptp.'nil$a'|)) (|tptp.'fun_app$l'| A__questionmark_v1 A__questionmark_v3)) (|tptp.'fun_app$l'| A__questionmark_v1 (|tptp.'cons$d'| A__questionmark_v2 A__questionmark_v3))))) (|tptp.'fun_app$l'| A__questionmark_v1 A__questionmark_v0))) (forall ((A__questionmark_v0 |tptp.'A_ltln_list_list$'|) (A__questionmark_v1 |tptp.'A_ltln_list_list_bool_fun$'|)) (=> (and (not (= A__questionmark_v0 |tptp.'nil$b'|)) (forall ((A__questionmark_v2 |tptp.'A_ltln_list$'|)) (|tptp.'fun_app$j'| A__questionmark_v1 (|tptp.'cons$c'| A__questionmark_v2 |tptp.'nil$b'|))) (forall ((A__questionmark_v2 |tptp.'A_ltln_list$'|) (A__questionmark_v3 |tptp.'A_ltln_list_list$'|)) (=> (and (not (= A__questionmark_v3 |tptp.'nil$b'|)) (|tptp.'fun_app$j'| A__questionmark_v1 A__questionmark_v3)) (|tptp.'fun_app$j'| A__questionmark_v1 (|tptp.'cons$c'| A__questionmark_v2 A__questionmark_v3))))) (|tptp.'fun_app$j'| A__questionmark_v1 A__questionmark_v0))) (forall ((A__questionmark_v0 |tptp.'A_ltln_list$'|) (A__questionmark_v1 |tptp.'A_ltln_list_bool_fun$'|)) (=> (and (not (= A__questionmark_v0 |tptp.'nil$d'|)) (forall ((A__questionmark_v2 |tptp.'A_ltln$'|)) (|tptp.'fun_app$b'| A__questionmark_v1 (|tptp.'fun_app$t'| (|tptp.'cons$f'| A__questionmark_v2) |tptp.'nil$d'|))) (forall ((A__questionmark_v2 |tptp.'A_ltln$'|) (A__questionmark_v3 |tptp.'A_ltln_list$'|)) (=> (and (not (= A__questionmark_v3 |tptp.'nil$d'|)) (|tptp.'fun_app$b'| A__questionmark_v1 A__questionmark_v3)) (|tptp.'fun_app$b'| A__questionmark_v1 (|tptp.'fun_app$t'| (|tptp.'cons$f'| A__questionmark_v2) A__questionmark_v3))))) (|tptp.'fun_app$b'| A__questionmark_v1 A__questionmark_v0))) (forall ((A__questionmark_v0 |tptp.'A_ltln_list_a_ltln_list_prod_list$'|) (A__questionmark_v1 |tptp.'A_ltln_list_a_ltln_list_prod_list_bool_fun$'|)) (=> (and (not (= A__questionmark_v0 |tptp.'nil$'|)) (forall ((A__questionmark_v2 |tptp.'A_ltln_list_a_ltln_list_prod$'|)) (|tptp.'fun_app$a'| A__questionmark_v1 (|tptp.'fun_app$r'| (|tptp.'fun_app$s'| |tptp.'cons$e'| A__questionmark_v2) |tptp.'nil$'|))) (forall ((A__questionmark_v2 |tptp.'A_ltln_list_a_ltln_list_prod$'|) (A__questionmark_v3 |tptp.'A_ltln_list_a_ltln_list_prod_list$'|)) (=> (and (not (= A__questionmark_v3 |tptp.'nil$'|)) (|tptp.'fun_app$a'| A__questionmark_v1 A__questionmark_v3)) (|tptp.'fun_app$a'| A__questionmark_v1 (|tptp.'fun_app$r'| (|tptp.'fun_app$s'| |tptp.'cons$e'| A__questionmark_v2) A__questionmark_v3))))) (|tptp.'fun_app$a'| A__questionmark_v1 A__questionmark_v0))) (forall ((A__questionmark_v0 |tptp.'A_ltln_list_a_ltln_list_prod_list_a_ltln_list_a_ltln_list_prod_list_bool_fun_fun$'|) (A__questionmark_v1 |tptp.'A_ltln_list_a_ltln_list_prod_list$'|) (A__questionmark_v2 |tptp.'A_ltln_list_a_ltln_list_prod_list$'|)) (=> (and (|tptp.'fun_app$a'| (|tptp.'fun_app$u'| A__questionmark_v0 |tptp.'nil$'|) |tptp.'nil$'|) (forall ((A__questionmark_v3 |tptp.'A_ltln_list_a_ltln_list_prod$'|) (A__questionmark_v4 |tptp.'A_ltln_list_a_ltln_list_prod_list$'|)) (|tptp.'fun_app$a'| (|tptp.'fun_app$u'| A__questionmark_v0 (|tptp.'fun_app$r'| (|tptp.'fun_app$s'| |tptp.'cons$e'| A__questionmark_v3) A__questionmark_v4)) |tptp.'nil$'|)) (forall ((A__questionmark_v3 |tptp.'A_ltln_list_a_ltln_list_prod$'|) (A__questionmark_v4 |tptp.'A_ltln_list_a_ltln_list_prod_list$'|)) (|tptp.'fun_app$a'| (|tptp.'fun_app$u'| A__questionmark_v0 |tptp.'nil$'|) (|tptp.'fun_app$r'| (|tptp.'fun_app$s'| |tptp.'cons$e'| A__questionmark_v3) A__questionmark_v4))) (forall ((A__questionmark_v3 |tptp.'A_ltln_list_a_ltln_list_prod$'|) (A__questionmark_v4 |tptp.'A_ltln_list_a_ltln_list_prod_list$'|) (A__questionmark_v5 |tptp.'A_ltln_list_a_ltln_list_prod$'|) (A__questionmark_v6 |tptp.'A_ltln_list_a_ltln_list_prod_list$'|)) (=> (|tptp.'fun_app$a'| (|tptp.'fun_app$u'| A__questionmark_v0 A__questionmark_v4) A__questionmark_v6) (|tptp.'fun_app$a'| (|tptp.'fun_app$u'| A__questionmark_v0 (|tptp.'fun_app$r'| (|tptp.'fun_app$s'| |tptp.'cons$e'| A__questionmark_v3) A__questionmark_v4)) (|tptp.'fun_app$r'| (|tptp.'fun_app$s'| |tptp.'cons$e'| A__questionmark_v5) A__questionmark_v6))))) (|tptp.'fun_app$a'| (|tptp.'fun_app$u'| A__questionmark_v0 A__questionmark_v1) A__questionmark_v2))) (forall ((A__questionmark_v0 |tptp.'A_ltln_list_a_ltln_list_bool_fun_fun$'|) (A__questionmark_v1 |tptp.'A_ltln_list$'|) (A__questionmark_v2 |tptp.'A_ltln_list$'|)) (=> (and (|tptp.'fun_app$b'| (|tptp.'fun_app$v'| A__questionmark_v0 |tptp.'nil$d'|) |tptp.'nil$d'|) (forall ((A__questionmark_v3 |tptp.'A_ltln$'|) (A__questionmark_v4 |tptp.'A_ltln_list$'|)) (|tptp.'fun_app$b'| (|tptp.'fun_app$v'| A__questionmark_v0 (|tptp.'fun_app$t'| (|tptp.'cons$f'| A__questionmark_v3) A__questionmark_v4)) |tptp.'nil$d'|)) (forall ((A__questionmark_v3 |tptp.'A_ltln$'|) (A__questionmark_v4 |tptp.'A_ltln_list$'|)) (|tptp.'fun_app$b'| (|tptp.'fun_app$v'| A__questionmark_v0 |tptp.'nil$d'|) (|tptp.'fun_app$t'| (|tptp.'cons$f'| A__questionmark_v3) A__questionmark_v4))) (forall ((A__questionmark_v3 |tptp.'A_ltln$'|) (A__questionmark_v4 |tptp.'A_ltln_list$'|) (A__questionmark_v5 |tptp.'A_ltln$'|) (A__questionmark_v6 |tptp.'A_ltln_list$'|)) (=> (|tptp.'fun_app$b'| (|tptp.'fun_app$v'| A__questionmark_v0 A__questionmark_v4) A__questionmark_v6) (|tptp.'fun_app$b'| (|tptp.'fun_app$v'| A__questionmark_v0 (|tptp.'fun_app$t'| (|tptp.'cons$f'| A__questionmark_v3) A__questionmark_v4)) (|tptp.'fun_app$t'| (|tptp.'cons$f'| A__questionmark_v5) A__questionmark_v6))))) (|tptp.'fun_app$b'| (|tptp.'fun_app$v'| A__questionmark_v0 A__questionmark_v1) A__questionmark_v2))) (forall ((A__questionmark_v0 |tptp.'A_ltln_list_list_a_ltln_list_bool_fun_fun$'|) (A__questionmark_v1 |tptp.'A_ltln_list_list$'|) (A__questionmark_v2 |tptp.'A_ltln_list$'|)) (=> (and (|tptp.'fun_app$b'| (|tptp.'fun_app$m'| A__questionmark_v0 |tptp.'nil$b'|) |tptp.'nil$d'|) (forall ((A__questionmark_v3 |tptp.'A_ltln_list$'|) (A__questionmark_v4 |tptp.'A_ltln_list_list$'|)) (|tptp.'fun_app$b'| (|tptp.'fun_app$m'| A__questionmark_v0 (|tptp.'cons$c'| A__questionmark_v3 A__questionmark_v4)) |tptp.'nil$d'|)) (forall ((A__questionmark_v3 |tptp.'A_ltln$'|) (A__questionmark_v4 |tptp.'A_ltln_list$'|)) (|tptp.'fun_app$b'| (|tptp.'fun_app$m'| A__questionmark_v0 |tptp.'nil$b'|) (|tptp.'fun_app$t'| (|tptp.'cons$f'| A__questionmark_v3) A__questionmark_v4))) (forall ((A__questionmark_v3 |tptp.'A_ltln_list$'|) (A__questionmark_v4 |tptp.'A_ltln_list_list$'|) (A__questionmark_v5 |tptp.'A_ltln$'|) (A__questionmark_v6 |tptp.'A_ltln_list$'|)) (=> (|tptp.'fun_app$b'| (|tptp.'fun_app$m'| A__questionmark_v0 A__questionmark_v4) A__questionmark_v6) (|tptp.'fun_app$b'| (|tptp.'fun_app$m'| A__questionmark_v0 (|tptp.'cons$c'| A__questionmark_v3 A__questionmark_v4)) (|tptp.'fun_app$t'| (|tptp.'cons$f'| A__questionmark_v5) A__questionmark_v6))))) (|tptp.'fun_app$b'| (|tptp.'fun_app$m'| A__questionmark_v0 A__questionmark_v1) A__questionmark_v2))) (forall ((A__questionmark_v0 |tptp.'A_ltln_list_a_ltln_list_list_bool_fun_fun$'|) (A__questionmark_v1 |tptp.'A_ltln_list$'|) (A__questionmark_v2 |tptp.'A_ltln_list_list$'|)) (=> (and (|tptp.'fun_app$j'| (|tptp.'fun_app$w'| A__questionmark_v0 |tptp.'nil$d'|) |tptp.'nil$b'|) (forall ((A__questionmark_v3 |tptp.'A_ltln$'|) (A__questionmark_v4 |tptp.'A_ltln_list$'|)) (|tptp.'fun_app$j'| (|tptp.'fun_app$w'| A__questionmark_v0 (|tptp.'fun_app$t'| (|tptp.'cons$f'| A__questionmark_v3) A__questionmark_v4)) |tptp.'nil$b'|)) (forall ((A__questionmark_v3 |tptp.'A_ltln_list$'|) (A__questionmark_v4 |tptp.'A_ltln_list_list$'|)) (|tptp.'fun_app$j'| (|tptp.'fun_app$w'| A__questionmark_v0 |tptp.'nil$d'|) (|tptp.'cons$c'| A__questionmark_v3 A__questionmark_v4))) (forall ((A__questionmark_v3 |tptp.'A_ltln$'|) (A__questionmark_v4 |tptp.'A_ltln_list$'|) (A__questionmark_v5 |tptp.'A_ltln_list$'|) (A__questionmark_v6 |tptp.'A_ltln_list_list$'|)) (=> (|tptp.'fun_app$j'| (|tptp.'fun_app$w'| A__questionmark_v0 A__questionmark_v4) A__questionmark_v6) (|tptp.'fun_app$j'| (|tptp.'fun_app$w'| A__questionmark_v0 (|tptp.'fun_app$t'| (|tptp.'cons$f'| A__questionmark_v3) A__questionmark_v4)) (|tptp.'cons$c'| A__questionmark_v5 A__questionmark_v6))))) (|tptp.'fun_app$j'| (|tptp.'fun_app$w'| A__questionmark_v0 A__questionmark_v1) A__questionmark_v2))) (forall ((A__questionmark_v0 |tptp.'A_ltln_list_list_a_ltln_list_list_bool_fun_fun$'|) (A__questionmark_v1 |tptp.'A_ltln_list_list$'|) (A__questionmark_v2 |tptp.'A_ltln_list_list$'|)) (=> (and (|tptp.'fun_app$j'| (|tptp.'fun_app$x'| A__questionmark_v0 |tptp.'nil$b'|) |tptp.'nil$b'|) (forall ((A__questionmark_v3 |tptp.'A_ltln_list$'|) (A__questionmark_v4 |tptp.'A_ltln_list_list$'|)) (|tptp.'fun_app$j'| (|tptp.'fun_app$x'| A__questionmark_v0 (|tptp.'cons$c'| A__questionmark_v3 A__questionmark_v4)) |tptp.'nil$b'|)) (forall ((A__questionmark_v3 |tptp.'A_ltln_list$'|) (A__questionmark_v4 |tptp.'A_ltln_list_list$'|)) (|tptp.'fun_app$j'| (|tptp.'fun_app$x'| A__questionmark_v0 |tptp.'nil$b'|) (|tptp.'cons$c'| A__questionmark_v3 A__questionmark_v4))) (forall ((A__questionmark_v3 |tptp.'A_ltln_list$'|) (A__questionmark_v4 |tptp.'A_ltln_list_list$'|) (A__questionmark_v5 |tptp.'A_ltln_list$'|) (A__questionmark_v6 |tptp.'A_ltln_list_list$'|)) (=> (|tptp.'fun_app$j'| (|tptp.'fun_app$x'| A__questionmark_v0 A__questionmark_v4) A__questionmark_v6) (|tptp.'fun_app$j'| (|tptp.'fun_app$x'| A__questionmark_v0 (|tptp.'cons$c'| A__questionmark_v3 A__questionmark_v4)) (|tptp.'cons$c'| A__questionmark_v5 A__questionmark_v6))))) (|tptp.'fun_app$j'| (|tptp.'fun_app$x'| A__questionmark_v0 A__questionmark_v1) A__questionmark_v2))) (forall ((A__questionmark_v0 |tptp.'A_ltln_list_a_ltln_list_prod_list_a_ltln_list_bool_fun_fun$'|) (A__questionmark_v1 |tptp.'A_ltln_list_a_ltln_list_prod_list$'|) (A__questionmark_v2 |tptp.'A_ltln_list$'|)) (=> (and (|tptp.'fun_app$b'| (|tptp.'fun_app$y'| A__questionmark_v0 |tptp.'nil$'|) |tptp.'nil$d'|) (forall ((A__questionmark_v3 |tptp.'A_ltln_list_a_ltln_list_prod$'|) (A__questionmark_v4 |tptp.'A_ltln_list_a_ltln_list_prod_list$'|)) (|tptp.'fun_app$b'| (|tptp.'fun_app$y'| A__questionmark_v0 (|tptp.'fun_app$r'| (|tptp.'fun_app$s'| |tptp.'cons$e'| A__questionmark_v3) A__questionmark_v4)) |tptp.'nil$d'|)) (forall ((A__questionmark_v3 |tptp.'A_ltln$'|) (A__questionmark_v4 |tptp.'A_ltln_list$'|)) (|tptp.'fun_app$b'| (|tptp.'fun_app$y'| A__questionmark_v0 |tptp.'nil$'|) (|tptp.'fun_app$t'| (|tptp.'cons$f'| A__questionmark_v3) A__questionmark_v4))) (forall ((A__questionmark_v3 |tptp.'A_ltln_list_a_ltln_list_prod$'|) (A__questionmark_v4 |tptp.'A_ltln_list_a_ltln_list_prod_list$'|) (A__questionmark_v5 |tptp.'A_ltln$'|) (A__questionmark_v6 |tptp.'A_ltln_list$'|)) (=> (|tptp.'fun_app$b'| (|tptp.'fun_app$y'| A__questionmark_v0 A__questionmark_v4) A__questionmark_v6) (|tptp.'fun_app$b'| (|tptp.'fun_app$y'| A__questionmark_v0 (|tptp.'fun_app$r'| (|tptp.'fun_app$s'| |tptp.'cons$e'| A__questionmark_v3) A__questionmark_v4)) (|tptp.'fun_app$t'| (|tptp.'cons$f'| A__questionmark_v5) A__questionmark_v6))))) (|tptp.'fun_app$b'| (|tptp.'fun_app$y'| A__questionmark_v0 A__questionmark_v1) A__questionmark_v2))) (forall ((A__questionmark_v0 |tptp.'A_ltln_list_a_ltln_list_a_ltln_list_prod_list_bool_fun_fun$'|) (A__questionmark_v1 |tptp.'A_ltln_list$'|) (A__questionmark_v2 |tptp.'A_ltln_list_a_ltln_list_prod_list$'|)) (=> (and (|tptp.'fun_app$a'| (|tptp.'fun_app$z'| A__questionmark_v0 |tptp.'nil$d'|) |tptp.'nil$'|) (forall ((A__questionmark_v3 |tptp.'A_ltln$'|) (A__questionmark_v4 |tptp.'A_ltln_list$'|)) (|tptp.'fun_app$a'| (|tptp.'fun_app$z'| A__questionmark_v0 (|tptp.'fun_app$t'| (|tptp.'cons$f'| A__questionmark_v3) A__questionmark_v4)) |tptp.'nil$'|)) (forall ((A__questionmark_v3 |tptp.'A_ltln_list_a_ltln_list_prod$'|) (A__questionmark_v4 |tptp.'A_ltln_list_a_ltln_list_prod_list$'|)) (|tptp.'fun_app$a'| (|tptp.'fun_app$z'| A__questionmark_v0 |tptp.'nil$d'|) (|tptp.'fun_app$r'| (|tptp.'fun_app$s'| |tptp.'cons$e'| A__questionmark_v3) A__questionmark_v4))) (forall ((A__questionmark_v3 |tptp.'A_ltln$'|) (A__questionmark_v4 |tptp.'A_ltln_list$'|) (A__questionmark_v5 |tptp.'A_ltln_list_a_ltln_list_prod$'|) (A__questionmark_v6 |tptp.'A_ltln_list_a_ltln_list_prod_list$'|)) (=> (|tptp.'fun_app$a'| (|tptp.'fun_app$z'| A__questionmark_v0 A__questionmark_v4) A__questionmark_v6) (|tptp.'fun_app$a'| (|tptp.'fun_app$z'| A__questionmark_v0 (|tptp.'fun_app$t'| (|tptp.'cons$f'| A__questionmark_v3) A__questionmark_v4)) (|tptp.'fun_app$r'| (|tptp.'fun_app$s'| |tptp.'cons$e'| A__questionmark_v5) A__questionmark_v6))))) (|tptp.'fun_app$a'| (|tptp.'fun_app$z'| A__questionmark_v0 A__questionmark_v1) A__questionmark_v2))) (forall ((A__questionmark_v0 |tptp.'A_ltln_list_a_ltln_list_prod_list_list_a_ltln_list_bool_fun_fun$'|) (A__questionmark_v1 |tptp.'A_ltln_list_a_ltln_list_prod_list_list$'|) (A__questionmark_v2 |tptp.'A_ltln_list$'|)) (=> (and (|tptp.'fun_app$b'| (|tptp.'fun_app$aa'| A__questionmark_v0 |tptp.'nil$a'|) |tptp.'nil$d'|) (forall ((A__questionmark_v3 |tptp.'A_ltln_list_a_ltln_list_prod_list$'|) (A__questionmark_v4 |tptp.'A_ltln_list_a_ltln_list_prod_list_list$'|)) (|tptp.'fun_app$b'| (|tptp.'fun_app$aa'| A__questionmark_v0 (|tptp.'cons$d'| A__questionmark_v3 A__questionmark_v4)) |tptp.'nil$d'|)) (forall ((A__questionmark_v3 |tptp.'A_ltln$'|) (A__questionmark_v4 |tptp.'A_ltln_list$'|)) (|tptp.'fun_app$b'| (|tptp.'fun_app$aa'| A__questionmark_v0 |tptp.'nil$a'|) (|tptp.'fun_app$t'| (|tptp.'cons$f'| A__questionmark_v3) A__questionmark_v4))) (forall ((A__questionmark_v3 |tptp.'A_ltln_list_a_ltln_list_prod_list$'|) (A__questionmark_v4 |tptp.'A_ltln_list_a_ltln_list_prod_list_list$'|) (A__questionmark_v5 |tptp.'A_ltln$'|) (A__questionmark_v6 |tptp.'A_ltln_list$'|)) (=> (|tptp.'fun_app$b'| (|tptp.'fun_app$aa'| A__questionmark_v0 A__questionmark_v4) A__questionmark_v6) (|tptp.'fun_app$b'| (|tptp.'fun_app$aa'| A__questionmark_v0 (|tptp.'cons$d'| A__questionmark_v3 A__questionmark_v4)) (|tptp.'fun_app$t'| (|tptp.'cons$f'| A__questionmark_v5) A__questionmark_v6))))) (|tptp.'fun_app$b'| (|tptp.'fun_app$aa'| A__questionmark_v0 A__questionmark_v1) A__questionmark_v2))) (forall ((A__questionmark_v0 |tptp.'A_ltln_list_list_a_ltln_list_a_ltln_list_prod_list_bool_fun_fun$'|) (A__questionmark_v1 |tptp.'A_ltln_list_list$'|) (A__questionmark_v2 |tptp.'A_ltln_list_a_ltln_list_prod_list$'|)) (=> (and (|tptp.'fun_app$a'| (|tptp.'fun_app$ab'| A__questionmark_v0 |tptp.'nil$b'|) |tptp.'nil$'|) (forall ((A__questionmark_v3 |tptp.'A_ltln_list$'|) (A__questionmark_v4 |tptp.'A_ltln_list_list$'|)) (|tptp.'fun_app$a'| (|tptp.'fun_app$ab'| A__questionmark_v0 (|tptp.'cons$c'| A__questionmark_v3 A__questionmark_v4)) |tptp.'nil$'|)) (forall ((A__questionmark_v3 |tptp.'A_ltln_list_a_ltln_list_prod$'|) (A__questionmark_v4 |tptp.'A_ltln_list_a_ltln_list_prod_list$'|)) (|tptp.'fun_app$a'| (|tptp.'fun_app$ab'| A__questionmark_v0 |tptp.'nil$b'|) (|tptp.'fun_app$r'| (|tptp.'fun_app$s'| |tptp.'cons$e'| A__questionmark_v3) A__questionmark_v4))) (forall ((A__questionmark_v3 |tptp.'A_ltln_list$'|) (A__questionmark_v4 |tptp.'A_ltln_list_list$'|) (A__questionmark_v5 |tptp.'A_ltln_list_a_ltln_list_prod$'|) (A__questionmark_v6 |tptp.'A_ltln_list_a_ltln_list_prod_list$'|)) (=> (|tptp.'fun_app$a'| (|tptp.'fun_app$ab'| A__questionmark_v0 A__questionmark_v4) A__questionmark_v6) (|tptp.'fun_app$a'| (|tptp.'fun_app$ab'| A__questionmark_v0 (|tptp.'cons$c'| A__questionmark_v3 A__questionmark_v4)) (|tptp.'fun_app$r'| (|tptp.'fun_app$s'| |tptp.'cons$e'| A__questionmark_v5) A__questionmark_v6))))) (|tptp.'fun_app$a'| (|tptp.'fun_app$ab'| A__questionmark_v0 A__questionmark_v1) A__questionmark_v2))) (forall ((A__questionmark_v0 |tptp.'A_ltln_list_a_ltln_list_prod_list_a_ltln_list_list_bool_fun_fun$'|) (A__questionmark_v1 |tptp.'A_ltln_list_a_ltln_list_prod_list$'|) (A__questionmark_v2 |tptp.'A_ltln_list_list$'|)) (=> (and (|tptp.'fun_app$j'| (|tptp.'fun_app$ac'| A__questionmark_v0 |tptp.'nil$'|) |tptp.'nil$b'|) (forall ((A__questionmark_v3 |tptp.'A_ltln_list_a_ltln_list_prod$'|) (A__questionmark_v4 |tptp.'A_ltln_list_a_ltln_list_prod_list$'|)) (|tptp.'fun_app$j'| (|tptp.'fun_app$ac'| A__questionmark_v0 (|tptp.'fun_app$r'| (|tptp.'fun_app$s'| |tptp.'cons$e'| A__questionmark_v3) A__questionmark_v4)) |tptp.'nil$b'|)) (forall ((A__questionmark_v3 |tptp.'A_ltln_list$'|) (A__questionmark_v4 |tptp.'A_ltln_list_list$'|)) (|tptp.'fun_app$j'| (|tptp.'fun_app$ac'| A__questionmark_v0 |tptp.'nil$'|) (|tptp.'cons$c'| A__questionmark_v3 A__questionmark_v4))) (forall ((A__questionmark_v3 |tptp.'A_ltln_list_a_ltln_list_prod$'|) (A__questionmark_v4 |tptp.'A_ltln_list_a_ltln_list_prod_list$'|) (A__questionmark_v5 |tptp.'A_ltln_list$'|) (A__questionmark_v6 |tptp.'A_ltln_list_list$'|)) (=> (|tptp.'fun_app$j'| (|tptp.'fun_app$ac'| A__questionmark_v0 A__questionmark_v4) A__questionmark_v6) (|tptp.'fun_app$j'| (|tptp.'fun_app$ac'| A__questionmark_v0 (|tptp.'fun_app$r'| (|tptp.'fun_app$s'| |tptp.'cons$e'| A__questionmark_v3) A__questionmark_v4)) (|tptp.'cons$c'| A__questionmark_v5 A__questionmark_v6))))) (|tptp.'fun_app$j'| (|tptp.'fun_app$ac'| A__questionmark_v0 A__questionmark_v1) A__questionmark_v2))) (forall ((A__questionmark_v0 |tptp.'A_ltln_list_a_ltln_list_prod_a_ltln_list_a_ltln_list_prod_prod_list$'|)) (= (not (= A__questionmark_v0 |tptp.'nil$c'|)) (exists ((A__questionmark_v1 |tptp.'A_ltln_list_a_ltln_list_prod_a_ltln_list_a_ltln_list_prod_prod$'|) (A__questionmark_v2 |tptp.'A_ltln_list_a_ltln_list_prod_a_ltln_list_a_ltln_list_prod_prod_list$'|)) (= A__questionmark_v0 (|tptp.'cons$g'| A__questionmark_v1 A__questionmark_v2))))) (forall ((A__questionmark_v0 |tptp.'A_ltln_list_a_ltln_list_prod_list_list$'|)) (= (not (= A__questionmark_v0 |tptp.'nil$a'|)) (exists ((A__questionmark_v1 |tptp.'A_ltln_list_a_ltln_list_prod_list$'|) (A__questionmark_v2 |tptp.'A_ltln_list_a_ltln_list_prod_list_list$'|)) (= A__questionmark_v0 (|tptp.'cons$d'| A__questionmark_v1 A__questionmark_v2))))) (forall ((A__questionmark_v0 |tptp.'A_ltln_list_list$'|)) (= (not (= A__questionmark_v0 |tptp.'nil$b'|)) (exists ((A__questionmark_v1 |tptp.'A_ltln_list$'|) (A__questionmark_v2 |tptp.'A_ltln_list_list$'|)) (= A__questionmark_v0 (|tptp.'cons$c'| A__questionmark_v1 A__questionmark_v2))))) (forall ((A__questionmark_v0 |tptp.'A_ltln_list$'|)) (= (not (= A__questionmark_v0 |tptp.'nil$d'|)) (exists ((A__questionmark_v1 |tptp.'A_ltln$'|) (A__questionmark_v2 |tptp.'A_ltln_list$'|)) (= A__questionmark_v0 (|tptp.'fun_app$t'| (|tptp.'cons$f'| A__questionmark_v1) A__questionmark_v2))))) (forall ((A__questionmark_v0 |tptp.'A_ltln_list_a_ltln_list_prod_list$'|)) (= (not (= A__questionmark_v0 |tptp.'nil$'|)) (exists ((A__questionmark_v1 |tptp.'A_ltln_list_a_ltln_list_prod$'|) (A__questionmark_v2 |tptp.'A_ltln_list_a_ltln_list_prod_list$'|)) (= A__questionmark_v0 (|tptp.'fun_app$r'| (|tptp.'fun_app$s'| |tptp.'cons$e'| A__questionmark_v1) A__questionmark_v2))))) (forall ((A__questionmark_v0 |tptp.'A_ltln_list_a_ltln_list_prod_a_ltln_list_a_ltln_list_prod_prod_list$'|)) (=> (and (=> (= A__questionmark_v0 |tptp.'nil$c'|) false) (forall ((A__questionmark_v1 |tptp.'A_ltln_list_a_ltln_list_prod_a_ltln_list_a_ltln_list_prod_prod$'|)) (=> (= A__questionmark_v0 (|tptp.'cons$g'| A__questionmark_v1 |tptp.'nil$c'|)) false)) (forall ((A__questionmark_v1 |tptp.'A_ltln_list_a_ltln_list_prod_a_ltln_list_a_ltln_list_prod_prod$'|) (A__questionmark_v2 |tptp.'A_ltln_list_a_ltln_list_prod_a_ltln_list_a_ltln_list_prod_prod$'|) (A__questionmark_v3 |tptp.'A_ltln_list_a_ltln_list_prod_a_ltln_list_a_ltln_list_prod_prod_list$'|)) (=> (= A__questionmark_v0 (|tptp.'cons$g'| A__questionmark_v1 (|tptp.'cons$g'| A__questionmark_v2 A__questionmark_v3))) false))) false)) (forall ((A__questionmark_v0 |tptp.'A_ltln_list_a_ltln_list_prod_list_list$'|)) (=> (and (=> (= A__questionmark_v0 |tptp.'nil$a'|) false) (forall ((A__questionmark_v1 |tptp.'A_ltln_list_a_ltln_list_prod_list$'|)) (=> (= A__questionmark_v0 (|tptp.'cons$d'| A__questionmark_v1 |tptp.'nil$a'|)) false)) (forall ((A__questionmark_v1 |tptp.'A_ltln_list_a_ltln_list_prod_list$'|) (A__questionmark_v2 |tptp.'A_ltln_list_a_ltln_list_prod_list$'|) (A__questionmark_v3 |tptp.'A_ltln_list_a_ltln_list_prod_list_list$'|)) (=> (= A__questionmark_v0 (|tptp.'cons$d'| A__questionmark_v1 (|tptp.'cons$d'| A__questionmark_v2 A__questionmark_v3))) false))) false)) (forall ((A__questionmark_v0 |tptp.'A_ltln_list_list$'|)) (=> (and (=> (= A__questionmark_v0 |tptp.'nil$b'|) false) (forall ((A__questionmark_v1 |tptp.'A_ltln_list$'|)) (=> (= A__questionmark_v0 (|tptp.'cons$c'| A__questionmark_v1 |tptp.'nil$b'|)) false)) (forall ((A__questionmark_v1 |tptp.'A_ltln_list$'|) (A__questionmark_v2 |tptp.'A_ltln_list$'|) (A__questionmark_v3 |tptp.'A_ltln_list_list$'|)) (=> (= A__questionmark_v0 (|tptp.'cons$c'| A__questionmark_v1 (|tptp.'cons$c'| A__questionmark_v2 A__questionmark_v3))) false))) false)) (forall ((A__questionmark_v0 |tptp.'A_ltln_list$'|)) (=> (and (=> (= A__questionmark_v0 |tptp.'nil$d'|) false) (forall ((A__questionmark_v1 |tptp.'A_ltln$'|)) (=> (= A__questionmark_v0 (|tptp.'fun_app$t'| (|tptp.'cons$f'| A__questionmark_v1) |tptp.'nil$d'|)) false)) (forall ((A__questionmark_v1 |tptp.'A_ltln$'|) (A__questionmark_v2 |tptp.'A_ltln$'|) (A__questionmark_v3 |tptp.'A_ltln_list$'|)) (=> (= A__questionmark_v0 (|tptp.'fun_app$t'| (|tptp.'cons$f'| A__questionmark_v1) (|tptp.'fun_app$t'| (|tptp.'cons$f'| A__questionmark_v2) A__questionmark_v3))) false))) false)) (forall ((A__questionmark_v0 |tptp.'A_ltln_list_a_ltln_list_prod_list$'|)) (=> (and (=> (= A__questionmark_v0 |tptp.'nil$'|) false) (forall ((A__questionmark_v1 |tptp.'A_ltln_list_a_ltln_list_prod$'|)) (=> (= A__questionmark_v0 (|tptp.'fun_app$r'| (|tptp.'fun_app$s'| |tptp.'cons$e'| A__questionmark_v1) |tptp.'nil$'|)) false)) (forall ((A__questionmark_v1 |tptp.'A_ltln_list_a_ltln_list_prod$'|) (A__questionmark_v2 |tptp.'A_ltln_list_a_ltln_list_prod$'|) (A__questionmark_v3 |tptp.'A_ltln_list_a_ltln_list_prod_list$'|)) (=> (= A__questionmark_v0 (|tptp.'fun_app$r'| (|tptp.'fun_app$s'| |tptp.'cons$e'| A__questionmark_v1) (|tptp.'fun_app$r'| (|tptp.'fun_app$s'| |tptp.'cons$e'| A__questionmark_v2) A__questionmark_v3))) false))) false)) (forall ((A__questionmark_v0 |tptp.'A_ltln_list_a_ltln_list_prod_a_ltln_list_a_ltln_list_prod_prod_list$'|)) (=> (and (=> (= A__questionmark_v0 |tptp.'nil$c'|) false) (forall ((A__questionmark_v1 |tptp.'A_ltln_list_a_ltln_list_prod_a_ltln_list_a_ltln_list_prod_prod$'|) (A__questionmark_v2 |tptp.'A_ltln_list_a_ltln_list_prod_a_ltln_list_a_ltln_list_prod_prod_list$'|)) (=> (= A__questionmark_v0 (|tptp.'cons$g'| A__questionmark_v1 A__questionmark_v2)) false))) false)) (forall ((A__questionmark_v0 |tptp.'A_ltln_list_a_ltln_list_prod_list_list$'|)) (=> (and (=> (= A__questionmark_v0 |tptp.'nil$a'|) false) (forall ((A__questionmark_v1 |tptp.'A_ltln_list_a_ltln_list_prod_list$'|) (A__questionmark_v2 |tptp.'A_ltln_list_a_ltln_list_prod_list_list$'|)) (=> (= A__questionmark_v0 (|tptp.'cons$d'| A__questionmark_v1 A__questionmark_v2)) false))) false)) (forall ((A__questionmark_v0 |tptp.'A_ltln_list_list$'|)) (=> (and (=> (= A__questionmark_v0 |tptp.'nil$b'|) false) (forall ((A__questionmark_v1 |tptp.'A_ltln_list$'|) (A__questionmark_v2 |tptp.'A_ltln_list_list$'|)) (=> (= A__questionmark_v0 (|tptp.'cons$c'| A__questionmark_v1 A__questionmark_v2)) false))) false)) (forall ((A__questionmark_v0 |tptp.'A_ltln_list$'|)) (=> (and (=> (= A__questionmark_v0 |tptp.'nil$d'|) false) (forall ((A__questionmark_v1 |tptp.'A_ltln$'|) (A__questionmark_v2 |tptp.'A_ltln_list$'|)) (=> (= A__questionmark_v0 (|tptp.'fun_app$t'| (|tptp.'cons$f'| A__questionmark_v1) A__questionmark_v2)) false))) false)) (forall ((A__questionmark_v0 |tptp.'A_ltln_list_a_ltln_list_prod_list$'|)) (=> (and (=> (= A__questionmark_v0 |tptp.'nil$'|) false) (forall ((A__questionmark_v1 |tptp.'A_ltln_list_a_ltln_list_prod$'|) (A__questionmark_v2 |tptp.'A_ltln_list_a_ltln_list_prod_list$'|)) (=> (= A__questionmark_v0 (|tptp.'fun_app$r'| (|tptp.'fun_app$s'| |tptp.'cons$e'| A__questionmark_v1) A__questionmark_v2)) false))) false)) (forall ((A__questionmark_v0 |tptp.'A_ltln_list_a_ltln_list_prod_a_ltln_list_a_ltln_list_prod_prod_list$'|) (A__questionmark_v1 |tptp.'A_ltln_list_a_ltln_list_prod_a_ltln_list_a_ltln_list_prod_prod$'|) (A__questionmark_v2 |tptp.'A_ltln_list_a_ltln_list_prod_a_ltln_list_a_ltln_list_prod_prod_list$'|)) (=> (= A__questionmark_v0 (|tptp.'cons$g'| A__questionmark_v1 A__questionmark_v2)) (not (= A__questionmark_v0 |tptp.'nil$c'|)))) (forall ((A__questionmark_v0 |tptp.'A_ltln_list_a_ltln_list_prod_list_list$'|) (A__questionmark_v1 |tptp.'A_ltln_list_a_ltln_list_prod_list$'|) (A__questionmark_v2 |tptp.'A_ltln_list_a_ltln_list_prod_list_list$'|)) (=> (= A__questionmark_v0 (|tptp.'cons$d'| A__questionmark_v1 A__questionmark_v2)) (not (= A__questionmark_v0 |tptp.'nil$a'|)))) (forall ((A__questionmark_v0 |tptp.'A_ltln_list_list$'|) (A__questionmark_v1 |tptp.'A_ltln_list$'|) (A__questionmark_v2 |tptp.'A_ltln_list_list$'|)) (=> (= A__questionmark_v0 (|tptp.'cons$c'| A__questionmark_v1 A__questionmark_v2)) (not (= A__questionmark_v0 |tptp.'nil$b'|)))) (forall ((A__questionmark_v0 |tptp.'A_ltln_list$'|) (A__questionmark_v1 |tptp.'A_ltln$'|) (A__questionmark_v2 |tptp.'A_ltln_list$'|)) (=> (= A__questionmark_v0 (|tptp.'fun_app$t'| (|tptp.'cons$f'| A__questionmark_v1) A__questionmark_v2)) (not (= A__questionmark_v0 |tptp.'nil$d'|)))) (forall ((A__questionmark_v0 |tptp.'A_ltln_list_a_ltln_list_prod_list$'|) (A__questionmark_v1 |tptp.'A_ltln_list_a_ltln_list_prod$'|) (A__questionmark_v2 |tptp.'A_ltln_list_a_ltln_list_prod_list$'|)) (=> (= A__questionmark_v0 (|tptp.'fun_app$r'| (|tptp.'fun_app$s'| |tptp.'cons$e'| A__questionmark_v1) A__questionmark_v2)) (not (= A__questionmark_v0 |tptp.'nil$'|)))) (forall ((A__questionmark_v0 |tptp.'A_ltln_list_a_ltln_list_prod_a_ltln_list_a_ltln_list_prod_prod$'|) (A__questionmark_v1 |tptp.'A_ltln_list_a_ltln_list_prod_a_ltln_list_a_ltln_list_prod_prod_list$'|)) (not (= |tptp.'nil$c'| (|tptp.'cons$g'| A__questionmark_v0 A__questionmark_v1)))) (forall ((A__questionmark_v0 |tptp.'A_ltln_list_a_ltln_list_prod_list$'|) (A__questionmark_v1 |tptp.'A_ltln_list_a_ltln_list_prod_list_list$'|)) (not (= |tptp.'nil$a'| (|tptp.'cons$d'| A__questionmark_v0 A__questionmark_v1)))) (forall ((A__questionmark_v0 |tptp.'A_ltln_list$'|) (A__questionmark_v1 |tptp.'A_ltln_list_list$'|)) (not (= |tptp.'nil$b'| (|tptp.'cons$c'| A__questionmark_v0 A__questionmark_v1)))) (forall ((A__questionmark_v0 |tptp.'A_ltln$'|) (A__questionmark_v1 |tptp.'A_ltln_list$'|)) (not (= |tptp.'nil$d'| (|tptp.'fun_app$t'| (|tptp.'cons$f'| A__questionmark_v0) A__questionmark_v1)))) (forall ((A__questionmark_v0 |tptp.'A_ltln_list_a_ltln_list_prod$'|) (A__questionmark_v1 |tptp.'A_ltln_list_a_ltln_list_prod_list$'|)) (not (= |tptp.'nil$'| (|tptp.'fun_app$r'| (|tptp.'fun_app$s'| |tptp.'cons$e'| A__questionmark_v0) A__questionmark_v1)))) (forall ((A__questionmark_v0 |tptp.'A_ltln$'|)) (= (|tptp.'fun_app$e'| |tptp.'subformulas_nu_list$'| (|tptp.'fun_app$q'| |tptp.'next_ltln$'| A__questionmark_v0)) (|tptp.'fun_app$e'| |tptp.'subformulas_nu_list$'| A__questionmark_v0))) (forall ((A__questionmark_v0 |tptp.'A_ltln$'|) (A__questionmark_v1 |tptp.'A_ltln$'|)) (= (= (|tptp.'fun_app$q'| |tptp.'next_ltln$'| A__questionmark_v0) (|tptp.'fun_app$q'| |tptp.'next_ltln$'| A__questionmark_v1)) (= A__questionmark_v0 A__questionmark_v1))) (= (|tptp.'product_lists$'| |tptp.'nil$m'|) _let_5) (= (|tptp.'product_lists$a'| |tptp.'nil$n'|) _let_4) (= (|tptp.'product_lists$b'| |tptp.'nil$o'|) _let_3) (= (|tptp.'product_lists$c'| |tptp.'nil$b'|) _let_2) (= (|tptp.'product_lists$d'| |tptp.'nil$a'|) _let_1) (forall ((A__questionmark_v0 |tptp.'A_ltln_list_a_ltln_list_prod_a_ltln_list_a_ltln_list_prod_prod$'|)) (= (|tptp.'fun_app$ad'| (|tptp.'insert$'| A__questionmark_v0) |tptp.'nil$c'|) (|tptp.'cons$g'| A__questionmark_v0 |tptp.'nil$c'|))) (forall ((A__questionmark_v0 |tptp.'A_ltln_list_a_ltln_list_prod_list$'|)) (= (|tptp.'fun_app$ae'| (|tptp.'insert$a'| A__questionmark_v0) |tptp.'nil$a'|) (|tptp.'cons$d'| A__questionmark_v0 |tptp.'nil$a'|))) (forall ((A__questionmark_v0 |tptp.'A_ltln_list$'|)) (= (|tptp.'fun_app$af'| (|tptp.'insert$b'| A__questionmark_v0) |tptp.'nil$b'|) (|tptp.'cons$c'| A__questionmark_v0 |tptp.'nil$b'|))) (forall ((A__questionmark_v0 |tptp.'A_ltln$'|)) (= (|tptp.'fun_app$t'| (|tptp.'insert$c'| A__questionmark_v0) |tptp.'nil$d'|) (|tptp.'fun_app$t'| (|tptp.'cons$f'| A__questionmark_v0) |tptp.'nil$d'|))) (forall ((A__questionmark_v0 |tptp.'A_ltln_list_a_ltln_list_prod$'|)) (= (|tptp.'fun_app$r'| (|tptp.'insert$d'| A__questionmark_v0) |tptp.'nil$'|) (|tptp.'fun_app$r'| (|tptp.'fun_app$s'| |tptp.'cons$e'| A__questionmark_v0) |tptp.'nil$'|))) (forall ((A__questionmark_v0 |tptp.'A_ltln_a_ltln_fun$'|) (A__questionmark_v1 |tptp.'A_ltln_list$'|) (A__questionmark_v2 |tptp.'A_ltln_list$'|) (A__questionmark_v3 |tptp.'A_ltln_list$'|)) (=> (and (= (|tptp.'fun_app$t'| (|tptp.'map_tailrec_rev$'| A__questionmark_v0 A__questionmark_v1) A__questionmark_v2) A__questionmark_v3) (forall ((A__questionmark_v4 |tptp.'A_ltln_a_ltln_fun$'|) (A__questionmark_v5 |tptp.'A_ltln_list$'|)) (=> (and (= A__questionmark_v0 A__questionmark_v4) (= A__questionmark_v1 |tptp.'nil$d'|) (= A__questionmark_v2 A__questionmark_v5) (= A__questionmark_v3 A__questionmark_v5)) false)) (forall ((A__questionmark_v4 |tptp.'A_ltln_a_ltln_fun$'|) (A__questionmark_v5 |tptp.'A_ltln$'|) (A__questionmark_v6 |tptp.'A_ltln_list$'|) (A__questionmark_v7 |tptp.'A_ltln_list$'|)) (=> (and (= A__questionmark_v0 A__questionmark_v4) (= A__questionmark_v1 (|tptp.'fun_app$t'| (|tptp.'cons$f'| A__questionmark_v5) A__questionmark_v6)) (= A__questionmark_v2 A__questionmark_v7) (= A__questionmark_v3 (|tptp.'fun_app$t'| (|tptp.'map_tailrec_rev$'| A__questionmark_v4 A__questionmark_v6) (|tptp.'fun_app$t'| (|tptp.'cons$f'| (|tptp.'fun_app$q'| A__questionmark_v4 A__questionmark_v5)) A__questionmark_v7)))) false))) false)) (forall ((A__questionmark_v0 |tptp.'A_ltln_list_a_ltln_fun$'|) (A__questionmark_v1 |tptp.'A_ltln_list_list$'|) (A__questionmark_v2 |tptp.'A_ltln_list$'|) (A__questionmark_v3 |tptp.'A_ltln_list$'|)) (=> (and (= (|tptp.'fun_app$t'| (|tptp.'map_tailrec_rev$a'| A__questionmark_v0 A__questionmark_v1) A__questionmark_v2) A__questionmark_v3) (forall ((A__questionmark_v4 |tptp.'A_ltln_list_a_ltln_fun$'|) (A__questionmark_v5 |tptp.'A_ltln_list$'|)) (=> (and (= A__questionmark_v0 A__questionmark_v4) (= A__questionmark_v1 |tptp.'nil$b'|) (= A__questionmark_v2 A__questionmark_v5) (= A__questionmark_v3 A__questionmark_v5)) false)) (forall ((A__questionmark_v4 |tptp.'A_ltln_list_a_ltln_fun$'|) (A__questionmark_v5 |tptp.'A_ltln_list$'|) (A__questionmark_v6 |tptp.'A_ltln_list_list$'|) (A__questionmark_v7 |tptp.'A_ltln_list$'|)) (=> (and (= A__questionmark_v0 A__questionmark_v4) (= A__questionmark_v1 (|tptp.'cons$c'| A__questionmark_v5 A__questionmark_v6)) (= A__questionmark_v2 A__questionmark_v7) (= A__questionmark_v3 (|tptp.'fun_app$t'| (|tptp.'map_tailrec_rev$a'| A__questionmark_v4 A__questionmark_v6) (|tptp.'fun_app$t'| (|tptp.'cons$f'| (|tptp.'fun_app$ag'| A__questionmark_v4 A__questionmark_v5)) A__questionmark_v7)))) false))) false)) (forall ((A__questionmark_v0 |tptp.'A_ltln_a_ltln_list_fun$'|) (A__questionmark_v1 |tptp.'A_ltln_list$'|) (A__questionmark_v2 |tptp.'A_ltln_list_list$'|) (A__questionmark_v3 |tptp.'A_ltln_list_list$'|)) (=> (and (= (|tptp.'map_tailrec_rev$b'| A__questionmark_v0 A__questionmark_v1 A__questionmark_v2) A__questionmark_v3) (forall ((A__questionmark_v4 |tptp.'A_ltln_a_ltln_list_fun$'|) (A__questionmark_v5 |tptp.'A_ltln_list_list$'|)) (=> (and (= A__questionmark_v0 A__questionmark_v4) (= A__questionmark_v1 |tptp.'nil$d'|) (= A__questionmark_v2 A__questionmark_v5) (= A__questionmark_v3 A__questionmark_v5)) false)) (forall ((A__questionmark_v4 |tptp.'A_ltln_a_ltln_list_fun$'|) (A__questionmark_v5 |tptp.'A_ltln$'|) (A__questionmark_v6 |tptp.'A_ltln_list$'|) (A__questionmark_v7 |tptp.'A_ltln_list_list$'|)) (=> (and (= A__questionmark_v0 A__questionmark_v4) (= A__questionmark_v1 (|tptp.'fun_app$t'| (|tptp.'cons$f'| A__questionmark_v5) A__questionmark_v6)) (= A__questionmark_v2 A__questionmark_v7) (= A__questionmark_v3 (|tptp.'map_tailrec_rev$b'| A__questionmark_v4 A__questionmark_v6 (|tptp.'cons$c'| (|tptp.'fun_app$e'| A__questionmark_v4 A__questionmark_v5) A__questionmark_v7)))) false))) false)) (forall ((A__questionmark_v0 |tptp.'A_ltln_list_a_ltln_list_fun$'|) (A__questionmark_v1 |tptp.'A_ltln_list_list$'|) (A__questionmark_v2 |tptp.'A_ltln_list_list$'|) (A__questionmark_v3 |tptp.'A_ltln_list_list$'|)) (=> (and (= (|tptp.'map_tailrec_rev$c'| A__questionmark_v0 A__questionmark_v1 A__questionmark_v2) A__questionmark_v3) (forall ((A__questionmark_v4 |tptp.'A_ltln_list_a_ltln_list_fun$'|) (A__questionmark_v5 |tptp.'A_ltln_list_list$'|)) (=> (and (= A__questionmark_v0 A__questionmark_v4) (= A__questionmark_v1 |tptp.'nil$b'|) (= A__questionmark_v2 A__questionmark_v5) (= A__questionmark_v3 A__questionmark_v5)) false)) (forall ((A__questionmark_v4 |tptp.'A_ltln_list_a_ltln_list_fun$'|) (A__questionmark_v5 |tptp.'A_ltln_list$'|) (A__questionmark_v6 |tptp.'A_ltln_list_list$'|) (A__questionmark_v7 |tptp.'A_ltln_list_list$'|)) (=> (and (= A__questionmark_v0 A__questionmark_v4) (= A__questionmark_v1 (|tptp.'cons$c'| A__questionmark_v5 A__questionmark_v6)) (= A__questionmark_v2 A__questionmark_v7) (= A__questionmark_v3 (|tptp.'map_tailrec_rev$c'| A__questionmark_v4 A__questionmark_v6 (|tptp.'cons$c'| (|tptp.'fun_app$t'| A__questionmark_v4 A__questionmark_v5) A__questionmark_v7)))) false))) false)) (forall ((A__questionmark_v0 |tptp.'A_ltln_list_a_ltln_list_prod_a_ltln_fun$'|) (A__questionmark_v1 |tptp.'A_ltln_list_a_ltln_list_prod_list$'|) (A__questionmark_v2 |tptp.'A_ltln_list$'|) (A__questionmark_v3 |tptp.'A_ltln_list$'|)) (=> (and (= (|tptp.'fun_app$t'| (|tptp.'map_tailrec_rev$d'| A__questionmark_v0 A__questionmark_v1) A__questionmark_v2) A__questionmark_v3) (forall ((A__questionmark_v4 |tptp.'A_ltln_list_a_ltln_list_prod_a_ltln_fun$'|) (A__questionmark_v5 |tptp.'A_ltln_list$'|)) (=> (and (= A__questionmark_v0 A__questionmark_v4) (= A__questionmark_v1 |tptp.'nil$'|) (= A__questionmark_v2 A__questionmark_v5) (= A__questionmark_v3 A__questionmark_v5)) false)) (forall ((A__questionmark_v4 |tptp.'A_ltln_list_a_ltln_list_prod_a_ltln_fun$'|) (A__questionmark_v5 |tptp.'A_ltln_list_a_ltln_list_prod$'|) (A__questionmark_v6 |tptp.'A_ltln_list_a_ltln_list_prod_list$'|) (A__questionmark_v7 |tptp.'A_ltln_list$'|)) (=> (and (= A__questionmark_v0 A__questionmark_v4) (= A__questionmark_v1 (|tptp.'fun_app$r'| (|tptp.'fun_app$s'| |tptp.'cons$e'| A__questionmark_v5) A__questionmark_v6)) (= A__questionmark_v2 A__questionmark_v7) (= A__questionmark_v3 (|tptp.'fun_app$t'| (|tptp.'map_tailrec_rev$d'| A__questionmark_v4 A__questionmark_v6) (|tptp.'fun_app$t'| (|tptp.'cons$f'| (|tptp.'fun_app$ah'| A__questionmark_v4 A__questionmark_v5)) A__questionmark_v7)))) false))) false)) (forall ((A__questionmark_v0 |tptp.'A_ltln_a_ltln_list_a_ltln_list_prod_fun$'|) (A__questionmark_v1 |tptp.'A_ltln_list$'|) (A__questionmark_v2 |tptp.'A_ltln_list_a_ltln_list_prod_list$'|) (A__questionmark_v3 |tptp.'A_ltln_list_a_ltln_list_prod_list$'|)) (=> (and (= (|tptp.'fun_app$r'| (|tptp.'map_tailrec_rev$e'| A__questionmark_v0 A__questionmark_v1) A__questionmark_v2) A__questionmark_v3) (forall ((A__questionmark_v4 |tptp.'A_ltln_a_ltln_list_a_ltln_list_prod_fun$'|) (A__questionmark_v5 |tptp.'A_ltln_list_a_ltln_list_prod_list$'|)) (=> (and (= A__questionmark_v0 A__questionmark_v4) (= A__questionmark_v1 |tptp.'nil$d'|) (= A__questionmark_v2 A__questionmark_v5) (= A__questionmark_v3 A__questionmark_v5)) false)) (forall ((A__questionmark_v4 |tptp.'A_ltln_a_ltln_list_a_ltln_list_prod_fun$'|) (A__questionmark_v5 |tptp.'A_ltln$'|) (A__questionmark_v6 |tptp.'A_ltln_list$'|) (A__questionmark_v7 |tptp.'A_ltln_list_a_ltln_list_prod_list$'|)) (=> (and (= A__questionmark_v0 A__questionmark_v4) (= A__questionmark_v1 (|tptp.'fun_app$t'| (|tptp.'cons$f'| A__questionmark_v5) A__questionmark_v6)) (= A__questionmark_v2 A__questionmark_v7) (= A__questionmark_v3 (|tptp.'fun_app$r'| (|tptp.'map_tailrec_rev$e'| A__questionmark_v4 A__questionmark_v6) (|tptp.'fun_app$r'| (|tptp.'fun_app$s'| |tptp.'cons$e'| (|tptp.'fun_app$ai'| A__questionmark_v4 A__questionmark_v5)) A__questionmark_v7)))) false))) false)) (forall ((A__questionmark_v0 |tptp.'A_ltln_list_a_ltln_list_prod_list_a_ltln_fun$'|) (A__questionmark_v1 |tptp.'A_ltln_list_a_ltln_list_prod_list_list$'|) (A__questionmark_v2 |tptp.'A_ltln_list$'|) (A__questionmark_v3 |tptp.'A_ltln_list$'|)) (=> (and (= (|tptp.'fun_app$t'| (|tptp.'map_tailrec_rev$f'| A__questionmark_v0 A__questionmark_v1) A__questionmark_v2) A__questionmark_v3) (forall ((A__questionmark_v4 |tptp.'A_ltln_list_a_ltln_list_prod_list_a_ltln_fun$'|) (A__questionmark_v5 |tptp.'A_ltln_list$'|)) (=> (and (= A__questionmark_v0 A__questionmark_v4) (= A__questionmark_v1 |tptp.'nil$a'|) (= A__questionmark_v2 A__questionmark_v5) (= A__questionmark_v3 A__questionmark_v5)) false)) (forall ((A__questionmark_v4 |tptp.'A_ltln_list_a_ltln_list_prod_list_a_ltln_fun$'|) (A__questionmark_v5 |tptp.'A_ltln_list_a_ltln_list_prod_list$'|) (A__questionmark_v6 |tptp.'A_ltln_list_a_ltln_list_prod_list_list$'|) (A__questionmark_v7 |tptp.'A_ltln_list$'|)) (=> (and (= A__questionmark_v0 A__questionmark_v4) (= A__questionmark_v1 (|tptp.'cons$d'| A__questionmark_v5 A__questionmark_v6)) (= A__questionmark_v2 A__questionmark_v7) (= A__questionmark_v3 (|tptp.'fun_app$t'| (|tptp.'map_tailrec_rev$f'| A__questionmark_v4 A__questionmark_v6) (|tptp.'fun_app$t'| (|tptp.'cons$f'| (|tptp.'fun_app$aj'| A__questionmark_v4 A__questionmark_v5)) A__questionmark_v7)))) false))) false)) (forall ((A__questionmark_v0 |tptp.'A_ltln_list_a_ltln_list_a_ltln_list_prod_fun$'|) (A__questionmark_v1 |tptp.'A_ltln_list_list$'|) (A__questionmark_v2 |tptp.'A_ltln_list_a_ltln_list_prod_list$'|) (A__questionmark_v3 |tptp.'A_ltln_list_a_ltln_list_prod_list$'|)) (=> (and (= (|tptp.'fun_app$r'| (|tptp.'map_tailrec_rev$g'| A__questionmark_v0 A__questionmark_v1) A__questionmark_v2) A__questionmark_v3) (forall ((A__questionmark_v4 |tptp.'A_ltln_list_a_ltln_list_a_ltln_list_prod_fun$'|) (A__questionmark_v5 |tptp.'A_ltln_list_a_ltln_list_prod_list$'|)) (=> (and (= A__questionmark_v0 A__questionmark_v4) (= A__questionmark_v1 |tptp.'nil$b'|) (= A__questionmark_v2 A__questionmark_v5) (= A__questionmark_v3 A__questionmark_v5)) false)) (forall ((A__questionmark_v4 |tptp.'A_ltln_list_a_ltln_list_a_ltln_list_prod_fun$'|) (A__questionmark_v5 |tptp.'A_ltln_list$'|) (A__questionmark_v6 |tptp.'A_ltln_list_list$'|) (A__questionmark_v7 |tptp.'A_ltln_list_a_ltln_list_prod_list$'|)) (=> (and (= A__questionmark_v0 A__questionmark_v4) (= A__questionmark_v1 (|tptp.'cons$c'| A__questionmark_v5 A__questionmark_v6)) (= A__questionmark_v2 A__questionmark_v7) (= A__questionmark_v3 (|tptp.'fun_app$r'| (|tptp.'map_tailrec_rev$g'| A__questionmark_v4 A__questionmark_v6) (|tptp.'fun_app$r'| (|tptp.'fun_app$s'| |tptp.'cons$e'| (|tptp.'fun_app$ak'| A__questionmark_v4 A__questionmark_v5)) A__questionmark_v7)))) false))) false)) (forall ((A__questionmark_v0 |tptp.'A_ltln_list_a_ltln_list_prod_a_ltln_list_fun$'|) (A__questionmark_v1 |tptp.'A_ltln_list_a_ltln_list_prod_list$'|) (A__questionmark_v2 |tptp.'A_ltln_list_list$'|) (A__questionmark_v3 |tptp.'A_ltln_list_list$'|)) (=> (and (= (|tptp.'map_tailrec_rev$h'| A__questionmark_v0 A__questionmark_v1 A__questionmark_v2) A__questionmark_v3) (forall ((A__questionmark_v4 |tptp.'A_ltln_list_a_ltln_list_prod_a_ltln_list_fun$'|) (A__questionmark_v5 |tptp.'A_ltln_list_list$'|)) (=> (and (= A__questionmark_v0 A__questionmark_v4) (= A__questionmark_v1 |tptp.'nil$'|) (= A__questionmark_v2 A__questionmark_v5) (= A__questionmark_v3 A__questionmark_v5)) false)) (forall ((A__questionmark_v4 |tptp.'A_ltln_list_a_ltln_list_prod_a_ltln_list_fun$'|) (A__questionmark_v5 |tptp.'A_ltln_list_a_ltln_list_prod$'|) (A__questionmark_v6 |tptp.'A_ltln_list_a_ltln_list_prod_list$'|) (A__questionmark_v7 |tptp.'A_ltln_list_list$'|)) (=> (and (= A__questionmark_v0 A__questionmark_v4) (= A__questionmark_v1 (|tptp.'fun_app$r'| (|tptp.'fun_app$s'| |tptp.'cons$e'| A__questionmark_v5) A__questionmark_v6)) (= A__questionmark_v2 A__questionmark_v7) (= A__questionmark_v3 (|tptp.'map_tailrec_rev$h'| A__questionmark_v4 A__questionmark_v6 (|tptp.'cons$c'| (|tptp.'fun_app$al'| A__questionmark_v4 A__questionmark_v5) A__questionmark_v7)))) false))) false)) (forall ((A__questionmark_v0 |tptp.'A_ltln_a_ltln_list_a_ltln_list_prod_list_fun$'|) (A__questionmark_v1 |tptp.'A_ltln_list$'|) (A__questionmark_v2 |tptp.'A_ltln_list_a_ltln_list_prod_list_list$'|) (A__questionmark_v3 |tptp.'A_ltln_list_a_ltln_list_prod_list_list$'|)) (=> (and (= (|tptp.'map_tailrec_rev$i'| A__questionmark_v0 A__questionmark_v1 A__questionmark_v2) A__questionmark_v3) (forall ((A__questionmark_v4 |tptp.'A_ltln_a_ltln_list_a_ltln_list_prod_list_fun$'|) (A__questionmark_v5 |tptp.'A_ltln_list_a_ltln_list_prod_list_list$'|)) (=> (and (= A__questionmark_v0 A__questionmark_v4) (= A__questionmark_v1 |tptp.'nil$d'|) (= A__questionmark_v2 A__questionmark_v5) (= A__questionmark_v3 A__questionmark_v5)) false)) (forall ((A__questionmark_v4 |tptp.'A_ltln_a_ltln_list_a_ltln_list_prod_list_fun$'|) (A__questionmark_v5 |tptp.'A_ltln$'|) (A__questionmark_v6 |tptp.'A_ltln_list$'|) (A__questionmark_v7 |tptp.'A_ltln_list_a_ltln_list_prod_list_list$'|)) (=> (and (= A__questionmark_v0 A__questionmark_v4) (= A__questionmark_v1 (|tptp.'fun_app$t'| (|tptp.'cons$f'| A__questionmark_v5) A__questionmark_v6)) (= A__questionmark_v2 A__questionmark_v7) (= A__questionmark_v3 (|tptp.'map_tailrec_rev$i'| A__questionmark_v4 A__questionmark_v6 (|tptp.'cons$d'| (|tptp.'fun_app$g'| A__questionmark_v4 A__questionmark_v5) A__questionmark_v7)))) false))) false)) (forall ((A__questionmark_v0 |tptp.'A_ltln_list_a_ltln_list_prod_a_ltln_list_a_ltln_list_prod_prod_a_ltln_list_a_ltln_list_prod_a_ltln_list_a_ltln_list_prod_prod_bool_fun_fun$'|) (A__questionmark_v1 |tptp.'A_ltln_list_a_ltln_list_prod_a_ltln_list_a_ltln_list_prod_prod$'|) (A__questionmark_v2 |tptp.'A_ltln_list_a_ltln_list_prod_a_ltln_list_a_ltln_list_prod_prod_list$'|)) (= (|tptp.'fun_app$k'| (|tptp.'lexordp_eq$'| A__questionmark_v0 (|tptp.'cons$g'| A__questionmark_v1 A__questionmark_v2)) |tptp.'nil$c'|) false)) (forall ((A__questionmark_v0 |tptp.'A_ltln_list_a_ltln_list_prod_list_a_ltln_list_a_ltln_list_prod_list_bool_fun_fun$'|) (A__questionmark_v1 |tptp.'A_ltln_list_a_ltln_list_prod_list$'|) (A__questionmark_v2 |tptp.'A_ltln_list_a_ltln_list_prod_list_list$'|)) (= (|tptp.'fun_app$l'| (|tptp.'lexordp_eq$a'| A__questionmark_v0 (|tptp.'cons$d'| A__questionmark_v1 A__questionmark_v2)) |tptp.'nil$a'|) false)) (forall ((A__questionmark_v0 |tptp.'A_ltln_list_a_ltln_list_bool_fun_fun$'|) (A__questionmark_v1 |tptp.'A_ltln_list$'|) (A__questionmark_v2 |tptp.'A_ltln_list_list$'|)) (= (|tptp.'fun_app$j'| (|tptp.'fun_app$x'| (|tptp.'lexordp_eq$b'| A__questionmark_v0) (|tptp.'cons$c'| A__questionmark_v1 A__questionmark_v2)) |tptp.'nil$b'|) false)) (forall ((A__questionmark_v0 |tptp.'A_ltln_a_ltln_bool_fun_fun$'|) (A__questionmark_v1 |tptp.'A_ltln$'|) (A__questionmark_v2 |tptp.'A_ltln_list$'|)) (= (|tptp.'fun_app$b'| (|tptp.'fun_app$v'| (|tptp.'lexordp_eq$c'| A__questionmark_v0) (|tptp.'fun_app$t'| (|tptp.'cons$f'| A__questionmark_v1) A__questionmark_v2)) |tptp.'nil$d'|) false)) (forall ((A__questionmark_v0 |tptp.'A_ltln_list_a_ltln_list_prod_a_ltln_list_a_ltln_list_prod_bool_fun_fun$'|) (A__questionmark_v1 |tptp.'A_ltln_list_a_ltln_list_prod$'|) (A__questionmark_v2 |tptp.'A_ltln_list_a_ltln_list_prod_list$'|)) (= (|tptp.'fun_app$a'| (|tptp.'fun_app$u'| (|tptp.'lexordp_eq$d'| A__questionmark_v0) (|tptp.'fun_app$r'| (|tptp.'fun_app$s'| |tptp.'cons$e'| A__questionmark_v1) A__questionmark_v2)) |tptp.'nil$'|) false)) (= (|tptp.'sublists$'| |tptp.'nil$b'|) _let_5) (= (|tptp.'sublists$a'| |tptp.'nil$c'|) _let_4) (= (|tptp.'sublists$b'| |tptp.'nil$a'|) _let_3) (= (|tptp.'fun_app$d'| |tptp.'sublists$c'| |tptp.'nil$d'|) _let_2) (= (|tptp.'fun_app$f'| |tptp.'sublists$d'| |tptp.'nil$'|) _let_1) (forall ((A__questionmark_v0 |tptp.'A_ltln_list_a_ltln_list_prod_list$'|) (A__questionmark_v1 |tptp.'A_ltln_list_a_ltln_list_prod_list_bool_fun$'|)) (= (|tptp.'member$a'| A__questionmark_v0 (|tptp.'collect$'| A__questionmark_v1)) (|tptp.'fun_app$a'| A__questionmark_v1 A__questionmark_v0))) (forall ((A__questionmark_v0 |tptp.'A_ltln_list$'|) (A__questionmark_v1 |tptp.'A_ltln_list_bool_fun$'|)) (= (|tptp.'member$b'| A__questionmark_v0 (|tptp.'collect$a'| A__questionmark_v1)) (|tptp.'fun_app$b'| A__questionmark_v1 A__questionmark_v0))) (forall ((A__questionmark_v0 |tptp.'A_ltln_list_a_ltln_list_prod$'|) (A__questionmark_v1 |tptp.'A_ltln_list_a_ltln_list_prod_bool_fun$'|)) (= (|tptp.'member$'| A__questionmark_v0 (|tptp.'collect$b'| A__questionmark_v1)) (|tptp.'fun_app$'| A__questionmark_v1 A__questionmark_v0))) (forall ((A__questionmark_v0 |tptp.'Nat$'|) (A__questionmark_v1 |tptp.'Nat_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_ltln_list_a_ltln_list_prod_list_set$'|)) (= (|tptp.'collect$'| (|tptp.'uu$'| A__questionmark_v0)) A__questionmark_v0)) (forall ((A__questionmark_v0 |tptp.'A_ltln_list_set$'|)) (= (|tptp.'collect$a'| (|tptp.'uua$'| A__questionmark_v0)) A__questionmark_v0)) (forall ((A__questionmark_v0 |tptp.'A_ltln_list_a_ltln_list_prod_set$'|)) (= (|tptp.'collect$b'| (|tptp.'uub$'| A__questionmark_v0)) A__questionmark_v0)) (forall ((A__questionmark_v0 |tptp.'Nat_set$'|)) (= (|tptp.'collect$c'| (|tptp.'uuc$'| A__questionmark_v0)) A__questionmark_v0)) (forall ((A__questionmark_v0 |tptp.'A_ltln_list_a_ltln_list_prod_a_ltln_list_a_ltln_list_prod_bool_fun_fun$'|) (A__questionmark_v1 |tptp.'A_ltln_list_a_ltln_list_prod_list$'|) (A__questionmark_v2 |tptp.'A_ltln_list_a_ltln_list_prod_list$'|)) (=> (and (|tptp.'fun_app$a'| (|tptp.'fun_app$u'| (|tptp.'listrelp$'| A__questionmark_v0) A__questionmark_v1) A__questionmark_v2) (=> (and (= A__questionmark_v1 |tptp.'nil$'|) (= A__questionmark_v2 |tptp.'nil$'|)) false) (forall ((A__questionmark_v3 |tptp.'A_ltln_list_a_ltln_list_prod$'|) (A__questionmark_v4 |tptp.'A_ltln_list_a_ltln_list_prod$'|) (A__questionmark_v5 |tptp.'A_ltln_list_a_ltln_list_prod_list$'|) (A__questionmark_v6 |tptp.'A_ltln_list_a_ltln_list_prod_list$'|)) (=> (and (= A__questionmark_v1 (|tptp.'fun_app$r'| (|tptp.'fun_app$s'| |tptp.'cons$e'| A__questionmark_v3) A__questionmark_v5)) (= A__questionmark_v2 (|tptp.'fun_app$r'| (|tptp.'fun_app$s'| |tptp.'cons$e'| A__questionmark_v4) A__questionmark_v6)) (|tptp.'fun_app$'| (|tptp.'fun_app$am'| A__questionmark_v0 A__questionmark_v3) A__questionmark_v4) (|tptp.'fun_app$a'| (|tptp.'fun_app$u'| (|tptp.'listrelp$'| A__questionmark_v0) A__questionmark_v5) A__questionmark_v6)) false))) false)) (forall ((A__questionmark_v0 |tptp.'A_ltln_a_ltln_bool_fun_fun$'|) (A__questionmark_v1 |tptp.'A_ltln_list$'|) (A__questionmark_v2 |tptp.'A_ltln_list$'|)) (=> (and (|tptp.'fun_app$b'| (|tptp.'fun_app$v'| (|tptp.'listrelp$a'| A__questionmark_v0) A__questionmark_v1) A__questionmark_v2) (=> (and (= A__questionmark_v1 |tptp.'nil$d'|) (= A__questionmark_v2 |tptp.'nil$d'|)) false) (forall ((A__questionmark_v3 |tptp.'A_ltln$'|) (A__questionmark_v4 |tptp.'A_ltln$'|) (A__questionmark_v5 |tptp.'A_ltln_list$'|) (A__questionmark_v6 |tptp.'A_ltln_list$'|)) (=> (and (= A__questionmark_v1 (|tptp.'fun_app$t'| (|tptp.'cons$f'| A__questionmark_v3) A__questionmark_v5)) (= A__questionmark_v2 (|tptp.'fun_app$t'| (|tptp.'cons$f'| A__questionmark_v4) A__questionmark_v6)) (|tptp.'fun_app$o'| (|tptp.'fun_app$an'| A__questionmark_v0 A__questionmark_v3) A__questionmark_v4) (|tptp.'fun_app$b'| (|tptp.'fun_app$v'| (|tptp.'listrelp$a'| A__questionmark_v0) A__questionmark_v5) A__questionmark_v6)) false))) false)) (forall ((A__questionmark_v0 |tptp.'A_ltln_list_a_ltln_bool_fun_fun$'|) (A__questionmark_v1 |tptp.'A_ltln_list_list$'|) (A__questionmark_v2 |tptp.'A_ltln_list$'|)) (=> (and (|tptp.'fun_app$b'| (|tptp.'fun_app$m'| (|tptp.'listrelp$b'| A__questionmark_v0) A__questionmark_v1) A__questionmark_v2) (=> (and (= A__questionmark_v1 |tptp.'nil$b'|) (= A__questionmark_v2 |tptp.'nil$d'|)) false) (forall ((A__questionmark_v3 |tptp.'A_ltln_list$'|) (A__questionmark_v4 |tptp.'A_ltln$'|) (A__questionmark_v5 |tptp.'A_ltln_list_list$'|) (A__questionmark_v6 |tptp.'A_ltln_list$'|)) (=> (and (= A__questionmark_v1 (|tptp.'cons$c'| A__questionmark_v3 A__questionmark_v5)) (= A__questionmark_v2 (|tptp.'fun_app$t'| (|tptp.'cons$f'| A__questionmark_v4) A__questionmark_v6)) (|tptp.'fun_app$o'| (|tptp.'fun_app$p'| A__questionmark_v0 A__questionmark_v3) A__questionmark_v4) (|tptp.'fun_app$b'| (|tptp.'fun_app$m'| (|tptp.'listrelp$b'| A__questionmark_v0) A__questionmark_v5) A__questionmark_v6)) false))) false)) (forall ((A__questionmark_v0 |tptp.'A_ltln_a_ltln_list_bool_fun_fun$'|) (A__questionmark_v1 |tptp.'A_ltln_list$'|) (A__questionmark_v2 |tptp.'A_ltln_list_list$'|)) (=> (and (|tptp.'fun_app$j'| (|tptp.'fun_app$w'| (|tptp.'listrelp$c'| A__questionmark_v0) A__questionmark_v1) A__questionmark_v2) (=> (and (= A__questionmark_v1 |tptp.'nil$d'|) (= A__questionmark_v2 |tptp.'nil$b'|)) false) (forall ((A__questionmark_v3 |tptp.'A_ltln$'|) (A__questionmark_v4 |tptp.'A_ltln_list$'|) (A__questionmark_v5 |tptp.'A_ltln_list$'|) (A__questionmark_v6 |tptp.'A_ltln_list_list$'|)) (=> (and (= A__questionmark_v1 (|tptp.'fun_app$t'| (|tptp.'cons$f'| A__questionmark_v3) A__questionmark_v5)) (= A__questionmark_v2 (|tptp.'cons$c'| A__questionmark_v4 A__questionmark_v6)) (|tptp.'fun_app$b'| (|tptp.'fun_app$ao'| A__questionmark_v0 A__questionmark_v3) A__questionmark_v4) (|tptp.'fun_app$j'| (|tptp.'fun_app$w'| (|tptp.'listrelp$c'| A__questionmark_v0) A__questionmark_v5) A__questionmark_v6)) false))) false)) (forall ((A__questionmark_v0 |tptp.'A_ltln_list_a_ltln_list_bool_fun_fun$'|) (A__questionmark_v1 |tptp.'A_ltln_list_list$'|) (A__questionmark_v2 |tptp.'A_ltln_list_list$'|)) (=> (and (|tptp.'fun_app$j'| (|tptp.'fun_app$x'| (|tptp.'listrelp$d'| A__questionmark_v0) A__questionmark_v1) A__questionmark_v2) (=> (and (= A__questionmark_v1 |tptp.'nil$b'|) (= A__questionmark_v2 |tptp.'nil$b'|)) false) (forall ((A__questionmark_v3 |tptp.'A_ltln_list$'|) (A__questionmark_v4 |tptp.'A_ltln_list$'|) (A__questionmark_v5 |tptp.'A_ltln_list_list$'|) (A__questionmark_v6 |tptp.'A_ltln_list_list$'|)) (=> (and (= A__questionmark_v1 (|tptp.'cons$c'| A__questionmark_v3 A__questionmark_v5)) (= A__questionmark_v2 (|tptp.'cons$c'| A__questionmark_v4 A__questionmark_v6)) (|tptp.'fun_app$b'| (|tptp.'fun_app$v'| A__questionmark_v0 A__questionmark_v3) A__questionmark_v4) (|tptp.'fun_app$j'| (|tptp.'fun_app$x'| (|tptp.'listrelp$d'| A__questionmark_v0) A__questionmark_v5) A__questionmark_v6)) false))) false)) (forall ((A__questionmark_v0 |tptp.'A_ltln_list_a_ltln_list_prod_a_ltln_bool_fun_fun$'|) (A__questionmark_v1 |tptp.'A_ltln_list_a_ltln_list_prod_list$'|) (A__questionmark_v2 |tptp.'A_ltln_list$'|)) (=> (and (|tptp.'fun_app$b'| (|tptp.'fun_app$y'| (|tptp.'listrelp$e'| A__questionmark_v0) A__questionmark_v1) A__questionmark_v2) (=> (and (= A__questionmark_v1 |tptp.'nil$'|) (= A__questionmark_v2 |tptp.'nil$d'|)) false) (forall ((A__questionmark_v3 |tptp.'A_ltln_list_a_ltln_list_prod$'|) (A__questionmark_v4 |tptp.'A_ltln$'|) (A__questionmark_v5 |tptp.'A_ltln_list_a_ltln_list_prod_list$'|) (A__questionmark_v6 |tptp.'A_ltln_list$'|)) (=> (and (= A__questionmark_v1 (|tptp.'fun_app$r'| (|tptp.'fun_app$s'| |tptp.'cons$e'| A__questionmark_v3) A__questionmark_v5)) (= A__questionmark_v2 (|tptp.'fun_app$t'| (|tptp.'cons$f'| A__questionmark_v4) A__questionmark_v6)) (|tptp.'fun_app$o'| (|tptp.'fun_app$ap'| A__questionmark_v0 A__questionmark_v3) A__questionmark_v4) (|tptp.'fun_app$b'| (|tptp.'fun_app$y'| (|tptp.'listrelp$e'| A__questionmark_v0) A__questionmark_v5) A__questionmark_v6)) false))) false)) (forall ((A__questionmark_v0 |tptp.'A_ltln_a_ltln_list_a_ltln_list_prod_bool_fun_fun$'|) (A__questionmark_v1 |tptp.'A_ltln_list$'|) (A__questionmark_v2 |tptp.'A_ltln_list_a_ltln_list_prod_list$'|)) (=> (and (|tptp.'fun_app$a'| (|tptp.'fun_app$z'| (|tptp.'listrelp$f'| A__questionmark_v0) A__questionmark_v1) A__questionmark_v2) (=> (and (= A__questionmark_v1 |tptp.'nil$d'|) (= A__questionmark_v2 |tptp.'nil$'|)) false) (forall ((A__questionmark_v3 |tptp.'A_ltln$'|) (A__questionmark_v4 |tptp.'A_ltln_list_a_ltln_list_prod$'|) (A__questionmark_v5 |tptp.'A_ltln_list$'|) (A__questionmark_v6 |tptp.'A_ltln_list_a_ltln_list_prod_list$'|)) (=> (and (= A__questionmark_v1 (|tptp.'fun_app$t'| (|tptp.'cons$f'| A__questionmark_v3) A__questionmark_v5)) (= A__questionmark_v2 (|tptp.'fun_app$r'| (|tptp.'fun_app$s'| |tptp.'cons$e'| A__questionmark_v4) A__questionmark_v6)) (|tptp.'fun_app$'| (|tptp.'fun_app$aq'| A__questionmark_v0 A__questionmark_v3) A__questionmark_v4) (|tptp.'fun_app$a'| (|tptp.'fun_app$z'| (|tptp.'listrelp$f'| A__questionmark_v0) A__questionmark_v5) A__questionmark_v6)) false))) false)) (forall ((A__questionmark_v0 |tptp.'A_ltln_list_a_ltln_list_prod_list_a_ltln_bool_fun_fun$'|) (A__questionmark_v1 |tptp.'A_ltln_list_a_ltln_list_prod_list_list$'|) (A__questionmark_v2 |tptp.'A_ltln_list$'|)) (=> (and (|tptp.'fun_app$b'| (|tptp.'fun_app$aa'| (|tptp.'listrelp$g'| A__questionmark_v0) A__questionmark_v1) A__questionmark_v2) (=> (and (= A__questionmark_v1 |tptp.'nil$a'|) (= A__questionmark_v2 |tptp.'nil$d'|)) false) (forall ((A__questionmark_v3 |tptp.'A_ltln_list_a_ltln_list_prod_list$'|) (A__questionmark_v4 |tptp.'A_ltln$'|) (A__questionmark_v5 |tptp.'A_ltln_list_a_ltln_list_prod_list_list$'|) (A__questionmark_v6 |tptp.'A_ltln_list$'|)) (=> (and (= A__questionmark_v1 (|tptp.'cons$d'| A__questionmark_v3 A__questionmark_v5)) (= A__questionmark_v2 (|tptp.'fun_app$t'| (|tptp.'cons$f'| A__questionmark_v4) A__questionmark_v6)) (|tptp.'fun_app$o'| (|tptp.'fun_app$ar'| A__questionmark_v0 A__questionmark_v3) A__questionmark_v4) (|tptp.'fun_app$b'| (|tptp.'fun_app$aa'| (|tptp.'listrelp$g'| A__questionmark_v0) A__questionmark_v5) A__questionmark_v6)) false))) false)) (forall ((A__questionmark_v0 |tptp.'A_ltln_list_a_ltln_list_a_ltln_list_prod_bool_fun_fun$'|) (A__questionmark_v1 |tptp.'A_ltln_list_list$'|) (A__questionmark_v2 |tptp.'A_ltln_list_a_ltln_list_prod_list$'|)) (=> (and (|tptp.'fun_app$a'| (|tptp.'fun_app$ab'| (|tptp.'listrelp$h'| A__questionmark_v0) A__questionmark_v1) A__questionmark_v2) (=> (and (= A__questionmark_v1 |tptp.'nil$b'|) (= A__questionmark_v2 |tptp.'nil$'|)) false) (forall ((A__questionmark_v3 |tptp.'A_ltln_list$'|) (A__questionmark_v4 |tptp.'A_ltln_list_a_ltln_list_prod$'|) (A__questionmark_v5 |tptp.'A_ltln_list_list$'|) (A__questionmark_v6 |tptp.'A_ltln_list_a_ltln_list_prod_list$'|)) (=> (and (= A__questionmark_v1 (|tptp.'cons$c'| A__questionmark_v3 A__questionmark_v5)) (= A__questionmark_v2 (|tptp.'fun_app$r'| (|tptp.'fun_app$s'| |tptp.'cons$e'| A__questionmark_v4) A__questionmark_v6)) (|tptp.'fun_app$'| (|tptp.'fun_app$as'| A__questionmark_v0 A__questionmark_v3) A__questionmark_v4) (|tptp.'fun_app$a'| (|tptp.'fun_app$ab'| (|tptp.'listrelp$h'| A__questionmark_v0) A__questionmark_v5) A__questionmark_v6)) false))) false)) (forall ((A__questionmark_v0 |tptp.'A_ltln_list_a_ltln_list_prod_a_ltln_list_bool_fun_fun$'|) (A__questionmark_v1 |tptp.'A_ltln_list_a_ltln_list_prod_list$'|) (A__questionmark_v2 |tptp.'A_ltln_list_list$'|)) (=> (and (|tptp.'fun_app$j'| (|tptp.'fun_app$ac'| (|tptp.'listrelp$i'| A__questionmark_v0) A__questionmark_v1) A__questionmark_v2) (=> (and (= A__questionmark_v1 |tptp.'nil$'|) (= A__questionmark_v2 |tptp.'nil$b'|)) false) (forall ((A__questionmark_v3 |tptp.'A_ltln_list_a_ltln_list_prod$'|) (A__questionmark_v4 |tptp.'A_ltln_list$'|) (A__questionmark_v5 |tptp.'A_ltln_list_a_ltln_list_prod_list$'|) (A__questionmark_v6 |tptp.'A_ltln_list_list$'|)) (=> (and (= A__questionmark_v1 (|tptp.'fun_app$r'| (|tptp.'fun_app$s'| |tptp.'cons$e'| A__questionmark_v3) A__questionmark_v5)) (= A__questionmark_v2 (|tptp.'cons$c'| A__questionmark_v4 A__questionmark_v6)) (|tptp.'fun_app$b'| (|tptp.'fun_app$at'| A__questionmark_v0 A__questionmark_v3) A__questionmark_v4) (|tptp.'fun_app$j'| (|tptp.'fun_app$ac'| (|tptp.'listrelp$i'| A__questionmark_v0) A__questionmark_v5) A__questionmark_v6)) false))) false)) (forall ((A__questionmark_v0 |tptp.'A_ltln_list_a_ltln_list_prod_a_ltln_list_a_ltln_list_prod_bool_fun_fun$'|) (A__questionmark_v1 |tptp.'A_ltln_list_a_ltln_list_prod_list$'|) (A__questionmark_v2 |tptp.'A_ltln_list_a_ltln_list_prod_list$'|)) (= (|tptp.'fun_app$a'| (|tptp.'fun_app$u'| (|tptp.'listrelp$'| A__questionmark_v0) A__questionmark_v1) A__questionmark_v2) (or (and (= A__questionmark_v1 |tptp.'nil$'|) (= A__questionmark_v2 |tptp.'nil$'|)) (exists ((A__questionmark_v3 |tptp.'A_ltln_list_a_ltln_list_prod$'|) (A__questionmark_v4 |tptp.'A_ltln_list_a_ltln_list_prod$'|) (A__questionmark_v5 |tptp.'A_ltln_list_a_ltln_list_prod_list$'|) (A__questionmark_v6 |tptp.'A_ltln_list_a_ltln_list_prod_list$'|)) (and (= A__questionmark_v1 (|tptp.'fun_app$r'| (|tptp.'fun_app$s'| |tptp.'cons$e'| A__questionmark_v3) A__questionmark_v5)) (= A__questionmark_v2 (|tptp.'fun_app$r'| (|tptp.'fun_app$s'| |tptp.'cons$e'| A__questionmark_v4) A__questionmark_v6)) (|tptp.'fun_app$'| (|tptp.'fun_app$am'| A__questionmark_v0 A__questionmark_v3) A__questionmark_v4) (|tptp.'fun_app$a'| (|tptp.'fun_app$u'| (|tptp.'listrelp$'| A__questionmark_v0) A__questionmark_v5) A__questionmark_v6)))))) (forall ((A__questionmark_v0 |tptp.'A_ltln_a_ltln_bool_fun_fun$'|) (A__questionmark_v1 |tptp.'A_ltln_list$'|) (A__questionmark_v2 |tptp.'A_ltln_list$'|)) (= (|tptp.'fun_app$b'| (|tptp.'fun_app$v'| (|tptp.'listrelp$a'| A__questionmark_v0) A__questionmark_v1) A__questionmark_v2) (or (and (= A__questionmark_v1 |tptp.'nil$d'|) (= A__questionmark_v2 |tptp.'nil$d'|)) (exists ((A__questionmark_v3 |tptp.'A_ltln$'|) (A__questionmark_v4 |tptp.'A_ltln$'|) (A__questionmark_v5 |tptp.'A_ltln_list$'|) (A__questionmark_v6 |tptp.'A_ltln_list$'|)) (and (= A__questionmark_v1 (|tptp.'fun_app$t'| (|tptp.'cons$f'| A__questionmark_v3) A__questionmark_v5)) (= A__questionmark_v2 (|tptp.'fun_app$t'| (|tptp.'cons$f'| A__questionmark_v4) A__questionmark_v6)) (|tptp.'fun_app$o'| (|tptp.'fun_app$an'| A__questionmark_v0 A__questionmark_v3) A__questionmark_v4) (|tptp.'fun_app$b'| (|tptp.'fun_app$v'| (|tptp.'listrelp$a'| A__questionmark_v0) A__questionmark_v5) A__questionmark_v6)))))) (forall ((A__questionmark_v0 |tptp.'A_ltln_list_a_ltln_bool_fun_fun$'|) (A__questionmark_v1 |tptp.'A_ltln_list_list$'|) (A__questionmark_v2 |tptp.'A_ltln_list$'|)) (= (|tptp.'fun_app$b'| (|tptp.'fun_app$m'| (|tptp.'listrelp$b'| A__questionmark_v0) A__questionmark_v1) A__questionmark_v2) (or (and (= A__questionmark_v1 |tptp.'nil$b'|) (= A__questionmark_v2 |tptp.'nil$d'|)) (exists ((A__questionmark_v3 |tptp.'A_ltln_list$'|) (A__questionmark_v4 |tptp.'A_ltln$'|) (A__questionmark_v5 |tptp.'A_ltln_list_list$'|) (A__questionmark_v6 |tptp.'A_ltln_list$'|)) (and (= A__questionmark_v1 (|tptp.'cons$c'| A__questionmark_v3 A__questionmark_v5)) (= A__questionmark_v2 (|tptp.'fun_app$t'| (|tptp.'cons$f'| A__questionmark_v4) A__questionmark_v6)) (|tptp.'fun_app$o'| (|tptp.'fun_app$p'| A__questionmark_v0 A__questionmark_v3) A__questionmark_v4) (|tptp.'fun_app$b'| (|tptp.'fun_app$m'| (|tptp.'listrelp$b'| A__questionmark_v0) A__questionmark_v5) A__questionmark_v6)))))) (forall ((A__questionmark_v0 |tptp.'A_ltln_a_ltln_list_bool_fun_fun$'|) (A__questionmark_v1 |tptp.'A_ltln_list$'|) (A__questionmark_v2 |tptp.'A_ltln_list_list$'|)) (= (|tptp.'fun_app$j'| (|tptp.'fun_app$w'| (|tptp.'listrelp$c'| A__questionmark_v0) A__questionmark_v1) A__questionmark_v2) (or (and (= A__questionmark_v1 |tptp.'nil$d'|) (= A__questionmark_v2 |tptp.'nil$b'|)) (exists ((A__questionmark_v3 |tptp.'A_ltln$'|) (A__questionmark_v4 |tptp.'A_ltln_list$'|) (A__questionmark_v5 |tptp.'A_ltln_list$'|) (A__questionmark_v6 |tptp.'A_ltln_list_list$'|)) (and (= A__questionmark_v1 (|tptp.'fun_app$t'| (|tptp.'cons$f'| A__questionmark_v3) A__questionmark_v5)) (= A__questionmark_v2 (|tptp.'cons$c'| A__questionmark_v4 A__questionmark_v6)) (|tptp.'fun_app$b'| (|tptp.'fun_app$ao'| A__questionmark_v0 A__questionmark_v3) A__questionmark_v4) (|tptp.'fun_app$j'| (|tptp.'fun_app$w'| (|tptp.'listrelp$c'| A__questionmark_v0) A__questionmark_v5) A__questionmark_v6)))))) (forall ((A__questionmark_v0 |tptp.'A_ltln_list_a_ltln_list_bool_fun_fun$'|) (A__questionmark_v1 |tptp.'A_ltln_list_list$'|) (A__questionmark_v2 |tptp.'A_ltln_list_list$'|)) (= (|tptp.'fun_app$j'| (|tptp.'fun_app$x'| (|tptp.'listrelp$d'| A__questionmark_v0) A__questionmark_v1) A__questionmark_v2) (or (and (= A__questionmark_v1 |tptp.'nil$b'|) (= A__questionmark_v2 |tptp.'nil$b'|)) (exists ((A__questionmark_v3 |tptp.'A_ltln_list$'|) (A__questionmark_v4 |tptp.'A_ltln_list$'|) (A__questionmark_v5 |tptp.'A_ltln_list_list$'|) (A__questionmark_v6 |tptp.'A_ltln_list_list$'|)) (and (= A__questionmark_v1 (|tptp.'cons$c'| A__questionmark_v3 A__questionmark_v5)) (= A__questionmark_v2 (|tptp.'cons$c'| A__questionmark_v4 A__questionmark_v6)) (|tptp.'fun_app$b'| (|tptp.'fun_app$v'| A__questionmark_v0 A__questionmark_v3) A__questionmark_v4) (|tptp.'fun_app$j'| (|tptp.'fun_app$x'| (|tptp.'listrelp$d'| A__questionmark_v0) A__questionmark_v5) A__questionmark_v6)))))) (forall ((A__questionmark_v0 |tptp.'A_ltln_list_a_ltln_list_prod_a_ltln_bool_fun_fun$'|) (A__questionmark_v1 |tptp.'A_ltln_list_a_ltln_list_prod_list$'|) (A__questionmark_v2 |tptp.'A_ltln_list$'|)) (= (|tptp.'fun_app$b'| (|tptp.'fun_app$y'| (|tptp.'listrelp$e'| A__questionmark_v0) A__questionmark_v1) A__questionmark_v2) (or (and (= A__questionmark_v1 |tptp.'nil$'|) (= A__questionmark_v2 |tptp.'nil$d'|)) (exists ((A__questionmark_v3 |tptp.'A_ltln_list_a_ltln_list_prod$'|) (A__questionmark_v4 |tptp.'A_ltln$'|) (A__questionmark_v5 |tptp.'A_ltln_list_a_ltln_list_prod_list$'|) (A__questionmark_v6 |tptp.'A_ltln_list$'|)) (and (= A__questionmark_v1 (|tptp.'fun_app$r'| (|tptp.'fun_app$s'| |tptp.'cons$e'| A__questionmark_v3) A__questionmark_v5)) (= A__questionmark_v2 (|tptp.'fun_app$t'| (|tptp.'cons$f'| A__questionmark_v4) A__questionmark_v6)) (|tptp.'fun_app$o'| (|tptp.'fun_app$ap'| A__questionmark_v0 A__questionmark_v3) A__questionmark_v4) (|tptp.'fun_app$b'| (|tptp.'fun_app$y'| (|tptp.'listrelp$e'| A__questionmark_v0) A__questionmark_v5) A__questionmark_v6)))))) (forall ((A__questionmark_v0 |tptp.'A_ltln_a_ltln_list_a_ltln_list_prod_bool_fun_fun$'|) (A__questionmark_v1 |tptp.'A_ltln_list$'|) (A__questionmark_v2 |tptp.'A_ltln_list_a_ltln_list_prod_list$'|)) (= (|tptp.'fun_app$a'| (|tptp.'fun_app$z'| (|tptp.'listrelp$f'| A__questionmark_v0) A__questionmark_v1) A__questionmark_v2) (or (and (= A__questionmark_v1 |tptp.'nil$d'|) (= A__questionmark_v2 |tptp.'nil$'|)) (exists ((A__questionmark_v3 |tptp.'A_ltln$'|) (A__questionmark_v4 |tptp.'A_ltln_list_a_ltln_list_prod$'|) (A__questionmark_v5 |tptp.'A_ltln_list$'|) (A__questionmark_v6 |tptp.'A_ltln_list_a_ltln_list_prod_list$'|)) (and (= A__questionmark_v1 (|tptp.'fun_app$t'| (|tptp.'cons$f'| A__questionmark_v3) A__questionmark_v5)) (= A__questionmark_v2 (|tptp.'fun_app$r'| (|tptp.'fun_app$s'| |tptp.'cons$e'| A__questionmark_v4) A__questionmark_v6)) (|tptp.'fun_app$'| (|tptp.'fun_app$aq'| A__questionmark_v0 A__questionmark_v3) A__questionmark_v4) (|tptp.'fun_app$a'| (|tptp.'fun_app$z'| (|tptp.'listrelp$f'| A__questionmark_v0) A__questionmark_v5) A__questionmark_v6)))))) (forall ((A__questionmark_v0 |tptp.'A_ltln_list_a_ltln_list_prod_list_a_ltln_bool_fun_fun$'|) (A__questionmark_v1 |tptp.'A_ltln_list_a_ltln_list_prod_list_list$'|) (A__questionmark_v2 |tptp.'A_ltln_list$'|)) (= (|tptp.'fun_app$b'| (|tptp.'fun_app$aa'| (|tptp.'listrelp$g'| A__questionmark_v0) A__questionmark_v1) A__questionmark_v2) (or (and (= A__questionmark_v1 |tptp.'nil$a'|) (= A__questionmark_v2 |tptp.'nil$d'|)) (exists ((A__questionmark_v3 |tptp.'A_ltln_list_a_ltln_list_prod_list$'|) (A__questionmark_v4 |tptp.'A_ltln$'|) (A__questionmark_v5 |tptp.'A_ltln_list_a_ltln_list_prod_list_list$'|) (A__questionmark_v6 |tptp.'A_ltln_list$'|)) (and (= A__questionmark_v1 (|tptp.'cons$d'| A__questionmark_v3 A__questionmark_v5)) (= A__questionmark_v2 (|tptp.'fun_app$t'| (|tptp.'cons$f'| A__questionmark_v4) A__questionmark_v6)) (|tptp.'fun_app$o'| (|tptp.'fun_app$ar'| A__questionmark_v0 A__questionmark_v3) A__questionmark_v4) (|tptp.'fun_app$b'| (|tptp.'fun_app$aa'| (|tptp.'listrelp$g'| A__questionmark_v0) A__questionmark_v5) A__questionmark_v6)))))) (forall ((A__questionmark_v0 |tptp.'A_ltln_list_a_ltln_list_a_ltln_list_prod_bool_fun_fun$'|) (A__questionmark_v1 |tptp.'A_ltln_list_list$'|) (A__questionmark_v2 |tptp.'A_ltln_list_a_ltln_list_prod_list$'|)) (= (|tptp.'fun_app$a'| (|tptp.'fun_app$ab'| (|tptp.'listrelp$h'| A__questionmark_v0) A__questionmark_v1) A__questionmark_v2) (or (and (= A__questionmark_v1 |tptp.'nil$b'|) (= A__questionmark_v2 |tptp.'nil$'|)) (exists ((A__questionmark_v3 |tptp.'A_ltln_list$'|) (A__questionmark_v4 |tptp.'A_ltln_list_a_ltln_list_prod$'|) (A__questionmark_v5 |tptp.'A_ltln_list_list$'|) (A__questionmark_v6 |tptp.'A_ltln_list_a_ltln_list_prod_list$'|)) (and (= A__questionmark_v1 (|tptp.'cons$c'| A__questionmark_v3 A__questionmark_v5)) (= A__questionmark_v2 (|tptp.'fun_app$r'| (|tptp.'fun_app$s'| |tptp.'cons$e'| A__questionmark_v4) A__questionmark_v6)) (|tptp.'fun_app$'| (|tptp.'fun_app$as'| A__questionmark_v0 A__questionmark_v3) A__questionmark_v4) (|tptp.'fun_app$a'| (|tptp.'fun_app$ab'| (|tptp.'listrelp$h'| A__questionmark_v0) A__questionmark_v5) A__questionmark_v6)))))) (forall ((A__questionmark_v0 |tptp.'A_ltln_list_a_ltln_list_prod_a_ltln_list_bool_fun_fun$'|) (A__questionmark_v1 |tptp.'A_ltln_list_a_ltln_list_prod_list$'|) (A__questionmark_v2 |tptp.'A_ltln_list_list$'|)) (= (|tptp.'fun_app$j'| (|tptp.'fun_app$ac'| (|tptp.'listrelp$i'| A__questionmark_v0) A__questionmark_v1) A__questionmark_v2) (or (and (= A__questionmark_v1 |tptp.'nil$'|) (= A__questionmark_v2 |tptp.'nil$b'|)) (exists ((A__questionmark_v3 |tptp.'A_ltln_list_a_ltln_list_prod$'|) (A__questionmark_v4 |tptp.'A_ltln_list$'|) (A__questionmark_v5 |tptp.'A_ltln_list_a_ltln_list_prod_list$'|) (A__questionmark_v6 |tptp.'A_ltln_list_list$'|)) (and (= A__questionmark_v1 (|tptp.'fun_app$r'| (|tptp.'fun_app$s'| |tptp.'cons$e'| A__questionmark_v3) A__questionmark_v5)) (= A__questionmark_v2 (|tptp.'cons$c'| A__questionmark_v4 A__questionmark_v6)) (|tptp.'fun_app$b'| (|tptp.'fun_app$at'| A__questionmark_v0 A__questionmark_v3) A__questionmark_v4) (|tptp.'fun_app$j'| (|tptp.'fun_app$ac'| (|tptp.'listrelp$i'| A__questionmark_v0) A__questionmark_v5) A__questionmark_v6)))))) (forall ((A__questionmark_v0 |tptp.'A_ltln_list_a_ltln_list_prod_list_a_ltln_list_a_ltln_list_prod_list_bool_fun_fun$'|) (A__questionmark_v1 |tptp.'A_ltln_list_a_ltln_list_prod_list$'|) (A__questionmark_v2 |tptp.'A_ltln_list_a_ltln_list_prod_list_list$'|) (A__questionmark_v3 |tptp.'A_ltln_list_a_ltln_list_prod_list$'|) (A__questionmark_v4 |tptp.'A_ltln_list_a_ltln_list_prod_list_list$'|)) (= (|tptp.'fun_app$l'| (|tptp.'lexordp_eq$a'| A__questionmark_v0 (|tptp.'cons$d'| A__questionmark_v1 A__questionmark_v2)) (|tptp.'cons$d'| A__questionmark_v3 A__questionmark_v4)) (or (|tptp.'fun_app$a'| (|tptp.'fun_app$u'| A__questionmark_v0 A__questionmark_v1) A__questionmark_v3) (and (not (|tptp.'fun_app$a'| (|tptp.'fun_app$u'| A__questionmark_v0 A__questionmark_v3) A__questionmark_v1)) (|tptp.'fun_app$l'| (|tptp.'lexordp_eq$a'| A__questionmark_v0 A__questionmark_v2) A__questionmark_v4))))) (forall ((A__questionmark_v0 |tptp.'A_ltln_list_a_ltln_list_bool_fun_fun$'|) (A__questionmark_v1 |tptp.'A_ltln_list$'|) (A__questionmark_v2 |tptp.'A_ltln_list_list$'|) (A__questionmark_v3 |tptp.'A_ltln_list$'|) (A__questionmark_v4 |tptp.'A_ltln_list_list$'|)) (let ((_let_1 (|tptp.'lexordp_eq$b'| A__questionmark_v0))) (= (|tptp.'fun_app$j'| (|tptp.'fun_app$x'| _let_1 (|tptp.'cons$c'| A__questionmark_v1 A__questionmark_v2)) (|tptp.'cons$c'| A__questionmark_v3 A__questionmark_v4)) (or (|tptp.'fun_app$b'| (|tptp.'fun_app$v'| A__questionmark_v0 A__questionmark_v1) A__questionmark_v3) (and (not (|tptp.'fun_app$b'| (|tptp.'fun_app$v'| A__questionmark_v0 A__questionmark_v3) A__questionmark_v1)) (|tptp.'fun_app$j'| (|tptp.'fun_app$x'| _let_1 A__questionmark_v2) A__questionmark_v4)))))) (forall ((A__questionmark_v0 |tptp.'A_ltln_a_ltln_bool_fun_fun$'|) (A__questionmark_v1 |tptp.'A_ltln$'|) (A__questionmark_v2 |tptp.'A_ltln_list$'|) (A__questionmark_v3 |tptp.'A_ltln$'|) (A__questionmark_v4 |tptp.'A_ltln_list$'|)) (let ((_let_1 (|tptp.'lexordp_eq$c'| A__questionmark_v0))) (= (|tptp.'fun_app$b'| (|tptp.'fun_app$v'| _let_1 (|tptp.'fun_app$t'| (|tptp.'cons$f'| A__questionmark_v1) A__questionmark_v2)) (|tptp.'fun_app$t'| (|tptp.'cons$f'| A__questionmark_v3) A__questionmark_v4)) (or (|tptp.'fun_app$o'| (|tptp.'fun_app$an'| A__questionmark_v0 A__questionmark_v1) A__questionmark_v3) (and (not (|tptp.'fun_app$o'| (|tptp.'fun_app$an'| A__questionmark_v0 A__questionmark_v3) A__questionmark_v1)) (|tptp.'fun_app$b'| (|tptp.'fun_app$v'| _let_1 A__questionmark_v2) A__questionmark_v4)))))) (forall ((A__questionmark_v0 |tptp.'A_ltln_list_a_ltln_list_prod_a_ltln_list_a_ltln_list_prod_bool_fun_fun$'|) (A__questionmark_v1 |tptp.'A_ltln_list_a_ltln_list_prod$'|) (A__questionmark_v2 |tptp.'A_ltln_list_a_ltln_list_prod_list$'|) (A__questionmark_v3 |tptp.'A_ltln_list_a_ltln_list_prod$'|) (A__questionmark_v4 |tptp.'A_ltln_list_a_ltln_list_prod_list$'|)) (let ((_let_1 (|tptp.'lexordp_eq$d'| A__questionmark_v0))) (= (|tptp.'fun_app$a'| (|tptp.'fun_app$u'| _let_1 (|tptp.'fun_app$r'| (|tptp.'fun_app$s'| |tptp.'cons$e'| A__questionmark_v1) A__questionmark_v2)) (|tptp.'fun_app$r'| (|tptp.'fun_app$s'| |tptp.'cons$e'| A__questionmark_v3) A__questionmark_v4)) (or (|tptp.'fun_app$'| (|tptp.'fun_app$am'| A__questionmark_v0 A__questionmark_v1) A__questionmark_v3) (and (not (|tptp.'fun_app$'| (|tptp.'fun_app$am'| A__questionmark_v0 A__questionmark_v3) A__questionmark_v1)) (|tptp.'fun_app$a'| (|tptp.'fun_app$u'| _let_1 A__questionmark_v2) A__questionmark_v4)))))) (forall ((A__questionmark_v0 |tptp.'A_ltln_list_a_ltln_list_bool_fun_fun$'|) (A__questionmark_v1 |tptp.'A_ltln_list_list$'|)) (= (|tptp.'fun_app$j'| (|tptp.'fun_app$x'| (|tptp.'lexordp_eq$b'| A__questionmark_v0) A__questionmark_v1) |tptp.'nil$b'|) (= A__questionmark_v1 |tptp.'nil$b'|))) (forall ((A__questionmark_v0 |tptp.'A_ltln_list_a_ltln_list_prod_a_ltln_list_a_ltln_list_prod_prod_a_ltln_list_a_ltln_list_prod_a_ltln_list_a_ltln_list_prod_prod_bool_fun_fun$'|) (A__questionmark_v1 |tptp.'A_ltln_list_a_ltln_list_prod_a_ltln_list_a_ltln_list_prod_prod_list$'|)) (= (|tptp.'fun_app$k'| (|tptp.'lexordp_eq$'| A__questionmark_v0 A__questionmark_v1) |tptp.'nil$c'|) (= A__questionmark_v1 |tptp.'nil$c'|))) (forall ((A__questionmark_v0 |tptp.'A_ltln_list_a_ltln_list_prod_list_a_ltln_list_a_ltln_list_prod_list_bool_fun_fun$'|) (A__questionmark_v1 |tptp.'A_ltln_list_a_ltln_list_prod_list_list$'|)) (= (|tptp.'fun_app$l'| (|tptp.'lexordp_eq$a'| A__questionmark_v0 A__questionmark_v1) |tptp.'nil$a'|) (= A__questionmark_v1 |tptp.'nil$a'|))) (forall ((A__questionmark_v0 |tptp.'A_ltln_a_ltln_bool_fun_fun$'|) (A__questionmark_v1 |tptp.'A_ltln_list$'|)) (= (|tptp.'fun_app$b'| (|tptp.'fun_app$v'| (|tptp.'lexordp_eq$c'| A__questionmark_v0) A__questionmark_v1) |tptp.'nil$d'|) (= A__questionmark_v1 |tptp.'nil$d'|))) (forall ((A__questionmark_v0 |tptp.'A_ltln_list_a_ltln_list_prod_a_ltln_list_a_ltln_list_prod_bool_fun_fun$'|) (A__questionmark_v1 |tptp.'A_ltln_list_a_ltln_list_prod_list$'|)) (= (|tptp.'fun_app$a'| (|tptp.'fun_app$u'| (|tptp.'lexordp_eq$d'| A__questionmark_v0) A__questionmark_v1) |tptp.'nil$'|) (= A__questionmark_v1 |tptp.'nil$'|))) (forall ((A__questionmark_v0 |tptp.'A_ltln_list_a_ltln_list_bool_fun_fun$'|) (A__questionmark_v1 |tptp.'A_ltln_list_list$'|)) (= (|tptp.'fun_app$j'| (|tptp.'fun_app$x'| (|tptp.'lexordp_eq$b'| A__questionmark_v0) |tptp.'nil$b'|) A__questionmark_v1) true)) (forall ((A__questionmark_v0 |tptp.'A_ltln_list_a_ltln_list_prod_a_ltln_list_a_ltln_list_prod_prod_a_ltln_list_a_ltln_list_prod_a_ltln_list_a_ltln_list_prod_prod_bool_fun_fun$'|) (A__questionmark_v1 |tptp.'A_ltln_list_a_ltln_list_prod_a_ltln_list_a_ltln_list_prod_prod_list$'|)) (= (|tptp.'fun_app$k'| (|tptp.'lexordp_eq$'| A__questionmark_v0 |tptp.'nil$c'|) A__questionmark_v1) true)) (forall ((A__questionmark_v0 |tptp.'A_ltln_list_a_ltln_list_prod_list_a_ltln_list_a_ltln_list_prod_list_bool_fun_fun$'|) (A__questionmark_v1 |tptp.'A_ltln_list_a_ltln_list_prod_list_list$'|)) (= (|tptp.'fun_app$l'| (|tptp.'lexordp_eq$a'| A__questionmark_v0 |tptp.'nil$a'|) A__questionmark_v1) true)) (forall ((A__questionmark_v0 |tptp.'A_ltln_a_ltln_bool_fun_fun$'|) (A__questionmark_v1 |tptp.'A_ltln_list$'|)) (= (|tptp.'fun_app$b'| (|tptp.'fun_app$v'| (|tptp.'lexordp_eq$c'| A__questionmark_v0) |tptp.'nil$d'|) A__questionmark_v1) true)) (forall ((A__questionmark_v0 |tptp.'A_ltln_list_a_ltln_list_prod_a_ltln_list_a_ltln_list_prod_bool_fun_fun$'|) (A__questionmark_v1 |tptp.'A_ltln_list_a_ltln_list_prod_list$'|)) (= (|tptp.'fun_app$a'| (|tptp.'fun_app$u'| (|tptp.'lexordp_eq$d'| A__questionmark_v0) |tptp.'nil$'|) A__questionmark_v1) true)) (forall ((A__questionmark_v0 |tptp.'A_ltln_list_a_ltln_list_prod_a_ltln_list_a_ltln_list_prod_bool_fun_fun$'|)) (let ((_let_1 (|tptp.'lexordp_eq$d'| A__questionmark_v0))) (= _let_1 _let_1))) (forall ((A__questionmark_v0 |tptp.'A_ltln_list_a_ltln_list_prod_a_ltln_list_a_ltln_list_prod_bool_fun_fun$'|) (A__questionmark_v1 |tptp.'A_ltln_list_a_ltln_list_prod_list$'|)) (|tptp.'fun_app$a'| (|tptp.'fun_app$u'| (|tptp.'lexordp_eq$d'| A__questionmark_v0) A__questionmark_v1) A__questionmark_v1)) (forall ((A__questionmark_v0 |tptp.'A_ltln_list_a_ltln_list_prod_list_a_ltln_list_a_ltln_list_prod_list_bool_fun_fun$'|) (A__questionmark_v1 |tptp.'A_ltln_list_a_ltln_list_prod_list$'|) (A__questionmark_v2 |tptp.'A_ltln_list_a_ltln_list_prod_list$'|) (A__questionmark_v3 |tptp.'A_ltln_list_a_ltln_list_prod_list_list$'|) (A__questionmark_v4 |tptp.'A_ltln_list_a_ltln_list_prod_list_list$'|)) (=> (and (not (|tptp.'fun_app$a'| (|tptp.'fun_app$u'| A__questionmark_v0 A__questionmark_v1) A__questionmark_v2)) (not (|tptp.'fun_app$a'| (|tptp.'fun_app$u'| A__questionmark_v0 A__questionmark_v2) A__questionmark_v1)) (|tptp.'fun_app$l'| (|tptp.'lexordp_eq$a'| A__questionmark_v0 A__questionmark_v3) A__questionmark_v4)) (|tptp.'fun_app$l'| (|tptp.'lexordp_eq$a'| A__questionmark_v0 (|tptp.'cons$d'| A__questionmark_v1 A__questionmark_v3)) (|tptp.'cons$d'| A__questionmark_v2 A__questionmark_v4)))) (forall ((A__questionmark_v0 |tptp.'A_ltln_list_a_ltln_list_bool_fun_fun$'|) (A__questionmark_v1 |tptp.'A_ltln_list$'|) (A__questionmark_v2 |tptp.'A_ltln_list$'|) (A__questionmark_v3 |tptp.'A_ltln_list_list$'|) (A__questionmark_v4 |tptp.'A_ltln_list_list$'|)) (let ((_let_1 (|tptp.'lexordp_eq$b'| A__questionmark_v0))) (=> (and (not (|tptp.'fun_app$b'| (|tptp.'fun_app$v'| A__questionmark_v0 A__questionmark_v1) A__questionmark_v2)) (not (|tptp.'fun_app$b'| (|tptp.'fun_app$v'| A__questionmark_v0 A__questionmark_v2) A__questionmark_v1)) (|tptp.'fun_app$j'| (|tptp.'fun_app$x'| _let_1 A__questionmark_v3) A__questionmark_v4)) (|tptp.'fun_app$j'| (|tptp.'fun_app$x'| _let_1 (|tptp.'cons$c'| A__questionmark_v1 A__questionmark_v3)) (|tptp.'cons$c'| A__questionmark_v2 A__questionmark_v4))))) (forall ((A__questionmark_v0 |tptp.'A_ltln_a_ltln_bool_fun_fun$'|) (A__questionmark_v1 |tptp.'A_ltln$'|) (A__questionmark_v2 |tptp.'A_ltln$'|) (A__questionmark_v3 |tptp.'A_ltln_list$'|) (A__questionmark_v4 |tptp.'A_ltln_list$'|)) (let ((_let_1 (|tptp.'lexordp_eq$c'| A__questionmark_v0))) (=> (and (not (|tptp.'fun_app$o'| (|tptp.'fun_app$an'| A__questionmark_v0 A__questionmark_v1) A__questionmark_v2)) (not (|tptp.'fun_app$o'| (|tptp.'fun_app$an'| A__questionmark_v0 A__questionmark_v2) A__questionmark_v1)) (|tptp.'fun_app$b'| (|tptp.'fun_app$v'| _let_1 A__questionmark_v3) A__questionmark_v4)) (|tptp.'fun_app$b'| (|tptp.'fun_app$v'| _let_1 (|tptp.'fun_app$t'| (|tptp.'cons$f'| A__questionmark_v1) A__questionmark_v3)) (|tptp.'fun_app$t'| (|tptp.'cons$f'| A__questionmark_v2) A__questionmark_v4))))) (forall ((A__questionmark_v0 |tptp.'A_ltln_list_a_ltln_list_prod_a_ltln_list_a_ltln_list_prod_bool_fun_fun$'|) (A__questionmark_v1 |tptp.'A_ltln_list_a_ltln_list_prod$'|) (A__questionmark_v2 |tptp.'A_ltln_list_a_ltln_list_prod$'|) (A__questionmark_v3 |tptp.'A_ltln_list_a_ltln_list_prod_list$'|) (A__questionmark_v4 |tptp.'A_ltln_list_a_ltln_list_prod_list$'|)) (let ((_let_1 (|tptp.'lexordp_eq$d'| A__questionmark_v0))) (=> (and (not (|tptp.'fun_app$'| (|tptp.'fun_app$am'| A__questionmark_v0 A__questionmark_v1) A__questionmark_v2)) (not (|tptp.'fun_app$'| (|tptp.'fun_app$am'| A__questionmark_v0 A__questionmark_v2) A__questionmark_v1)) (|tptp.'fun_app$a'| (|tptp.'fun_app$u'| _let_1 A__questionmark_v3) A__questionmark_v4)) (|tptp.'fun_app$a'| (|tptp.'fun_app$u'| _let_1 (|tptp.'fun_app$r'| (|tptp.'fun_app$s'| |tptp.'cons$e'| A__questionmark_v1) A__questionmark_v3)) (|tptp.'fun_app$r'| (|tptp.'fun_app$s'| |tptp.'cons$e'| A__questionmark_v2) A__questionmark_v4))))) (forall ((A__questionmark_v0 |tptp.'A_ltln_list_a_ltln_list_prod_list_a_ltln_list_a_ltln_list_prod_list_bool_fun_fun$'|) (A__questionmark_v1 |tptp.'A_ltln_list_a_ltln_list_prod_list$'|) (A__questionmark_v2 |tptp.'A_ltln_list_a_ltln_list_prod_list$'|) (A__questionmark_v3 |tptp.'A_ltln_list_a_ltln_list_prod_list_list$'|) (A__questionmark_v4 |tptp.'A_ltln_list_a_ltln_list_prod_list_list$'|)) (=> (|tptp.'fun_app$a'| (|tptp.'fun_app$u'| A__questionmark_v0 A__questionmark_v1) A__questionmark_v2) (|tptp.'fun_app$l'| (|tptp.'lexordp_eq$a'| A__questionmark_v0 (|tptp.'cons$d'| A__questionmark_v1 A__questionmark_v3)) (|tptp.'cons$d'| A__questionmark_v2 A__questionmark_v4)))) (forall ((A__questionmark_v0 |tptp.'A_ltln_list_a_ltln_list_bool_fun_fun$'|) (A__questionmark_v1 |tptp.'A_ltln_list$'|) (A__questionmark_v2 |tptp.'A_ltln_list$'|) (A__questionmark_v3 |tptp.'A_ltln_list_list$'|) (A__questionmark_v4 |tptp.'A_ltln_list_list$'|)) (=> (|tptp.'fun_app$b'| (|tptp.'fun_app$v'| A__questionmark_v0 A__questionmark_v1) A__questionmark_v2) (|tptp.'fun_app$j'| (|tptp.'fun_app$x'| (|tptp.'lexordp_eq$b'| A__questionmark_v0) (|tptp.'cons$c'| A__questionmark_v1 A__questionmark_v3)) (|tptp.'cons$c'| A__questionmark_v2 A__questionmark_v4)))) (forall ((A__questionmark_v0 |tptp.'A_ltln_a_ltln_bool_fun_fun$'|) (A__questionmark_v1 |tptp.'A_ltln$'|) (A__questionmark_v2 |tptp.'A_ltln$'|) (A__questionmark_v3 |tptp.'A_ltln_list$'|) (A__questionmark_v4 |tptp.'A_ltln_list$'|)) (=> (|tptp.'fun_app$o'| (|tptp.'fun_app$an'| A__questionmark_v0 A__questionmark_v1) A__questionmark_v2) (|tptp.'fun_app$b'| (|tptp.'fun_app$v'| (|tptp.'lexordp_eq$c'| A__questionmark_v0) (|tptp.'fun_app$t'| (|tptp.'cons$f'| A__questionmark_v1) A__questionmark_v3)) (|tptp.'fun_app$t'| (|tptp.'cons$f'| A__questionmark_v2) A__questionmark_v4)))) (forall ((A__questionmark_v0 |tptp.'A_ltln_list_a_ltln_list_prod_a_ltln_list_a_ltln_list_prod_bool_fun_fun$'|) (A__questionmark_v1 |tptp.'A_ltln_list_a_ltln_list_prod$'|) (A__questionmark_v2 |tptp.'A_ltln_list_a_ltln_list_prod$'|) (A__questionmark_v3 |tptp.'A_ltln_list_a_ltln_list_prod_list$'|) (A__questionmark_v4 |tptp.'A_ltln_list_a_ltln_list_prod_list$'|)) (=> (|tptp.'fun_app$'| (|tptp.'fun_app$am'| A__questionmark_v0 A__questionmark_v1) A__questionmark_v2) (|tptp.'fun_app$a'| (|tptp.'fun_app$u'| (|tptp.'lexordp_eq$d'| A__questionmark_v0) (|tptp.'fun_app$r'| (|tptp.'fun_app$s'| |tptp.'cons$e'| A__questionmark_v1) A__questionmark_v3)) (|tptp.'fun_app$r'| (|tptp.'fun_app$s'| |tptp.'cons$e'| A__questionmark_v2) A__questionmark_v4)))) (forall ((A__questionmark_v0 |tptp.'A_ltln_list_a_ltln_list_bool_fun_fun$'|) (A__questionmark_v1 |tptp.'A_ltln_list_list$'|)) (|tptp.'fun_app$j'| (|tptp.'fun_app$x'| (|tptp.'lexordp_eq$b'| A__questionmark_v0) |tptp.'nil$b'|) A__questionmark_v1)) (forall ((A__questionmark_v0 |tptp.'A_ltln_list_a_ltln_list_prod_a_ltln_list_a_ltln_list_prod_prod_a_ltln_list_a_ltln_list_prod_a_ltln_list_a_ltln_list_prod_prod_bool_fun_fun$'|) (A__questionmark_v1 |tptp.'A_ltln_list_a_ltln_list_prod_a_ltln_list_a_ltln_list_prod_prod_list$'|)) (|tptp.'fun_app$k'| (|tptp.'lexordp_eq$'| A__questionmark_v0 |tptp.'nil$c'|) A__questionmark_v1)) (forall ((A__questionmark_v0 |tptp.'A_ltln_list_a_ltln_list_prod_list_a_ltln_list_a_ltln_list_prod_list_bool_fun_fun$'|) (A__questionmark_v1 |tptp.'A_ltln_list_a_ltln_list_prod_list_list$'|)) (|tptp.'fun_app$l'| (|tptp.'lexordp_eq$a'| A__questionmark_v0 |tptp.'nil$a'|) A__questionmark_v1)) (forall ((A__questionmark_v0 |tptp.'A_ltln_a_ltln_bool_fun_fun$'|) (A__questionmark_v1 |tptp.'A_ltln_list$'|)) (|tptp.'fun_app$b'| (|tptp.'fun_app$v'| (|tptp.'lexordp_eq$c'| A__questionmark_v0) |tptp.'nil$d'|) A__questionmark_v1)) (forall ((A__questionmark_v0 |tptp.'A_ltln_list_a_ltln_list_prod_a_ltln_list_a_ltln_list_prod_bool_fun_fun$'|) (A__questionmark_v1 |tptp.'A_ltln_list_a_ltln_list_prod_list$'|)) (|tptp.'fun_app$a'| (|tptp.'fun_app$u'| (|tptp.'lexordp_eq$d'| A__questionmark_v0) |tptp.'nil$'|) A__questionmark_v1)) (forall ((A__questionmark_v0 |tptp.'A_ltln_a_ltln_bool_fun_fun$'|) (A__questionmark_v1 |tptp.'A_ltln$'|) (A__questionmark_v2 |tptp.'A_ltln$'|) (A__questionmark_v3 |tptp.'A_ltln_list$'|) (A__questionmark_v4 |tptp.'A_ltln_list$'|)) (let ((_let_1 (|tptp.'listrelp$a'| A__questionmark_v0))) (=> (and (|tptp.'fun_app$o'| (|tptp.'fun_app$an'| A__questionmark_v0 A__questionmark_v1) A__questionmark_v2) (|tptp.'fun_app$b'| (|tptp.'fun_app$v'| _let_1 A__questionmark_v3) A__questionmark_v4)) (|tptp.'fun_app$b'| (|tptp.'fun_app$v'| _let_1 (|tptp.'fun_app$t'| (|tptp.'cons$f'| A__questionmark_v1) A__questionmark_v3)) (|tptp.'fun_app$t'| (|tptp.'cons$f'| A__questionmark_v2) A__questionmark_v4))))) (forall ((A__questionmark_v0 |tptp.'A_ltln_list_a_ltln_bool_fun_fun$'|) (A__questionmark_v1 |tptp.'A_ltln_list$'|) (A__questionmark_v2 |tptp.'A_ltln$'|) (A__questionmark_v3 |tptp.'A_ltln_list_list$'|) (A__questionmark_v4 |tptp.'A_ltln_list$'|)) (let ((_let_1 (|tptp.'listrelp$b'| A__questionmark_v0))) (=> (and (|tptp.'fun_app$o'| (|tptp.'fun_app$p'| A__questionmark_v0 A__questionmark_v1) A__questionmark_v2) (|tptp.'fun_app$b'| (|tptp.'fun_app$m'| _let_1 A__questionmark_v3) A__questionmark_v4)) (|tptp.'fun_app$b'| (|tptp.'fun_app$m'| _let_1 (|tptp.'cons$c'| A__questionmark_v1 A__questionmark_v3)) (|tptp.'fun_app$t'| (|tptp.'cons$f'| A__questionmark_v2) A__questionmark_v4))))) (forall ((A__questionmark_v0 |tptp.'A_ltln_a_ltln_list_bool_fun_fun$'|) (A__questionmark_v1 |tptp.'A_ltln$'|) (A__questionmark_v2 |tptp.'A_ltln_list$'|) (A__questionmark_v3 |tptp.'A_ltln_list$'|) (A__questionmark_v4 |tptp.'A_ltln_list_list$'|)) (let ((_let_1 (|tptp.'listrelp$c'| A__questionmark_v0))) (=> (and (|tptp.'fun_app$b'| (|tptp.'fun_app$ao'| A__questionmark_v0 A__questionmark_v1) A__questionmark_v2) (|tptp.'fun_app$j'| (|tptp.'fun_app$w'| _let_1 A__questionmark_v3) A__questionmark_v4)) (|tptp.'fun_app$j'| (|tptp.'fun_app$w'| _let_1 (|tptp.'fun_app$t'| (|tptp.'cons$f'| A__questionmark_v1) A__questionmark_v3)) (|tptp.'cons$c'| A__questionmark_v2 A__questionmark_v4))))) (forall ((A__questionmark_v0 |tptp.'A_ltln_list_a_ltln_list_bool_fun_fun$'|) (A__questionmark_v1 |tptp.'A_ltln_list$'|) (A__questionmark_v2 |tptp.'A_ltln_list$'|) (A__questionmark_v3 |tptp.'A_ltln_list_list$'|) (A__questionmark_v4 |tptp.'A_ltln_list_list$'|)) (let ((_let_1 (|tptp.'listrelp$d'| A__questionmark_v0))) (=> (and (|tptp.'fun_app$b'| (|tptp.'fun_app$v'| A__questionmark_v0 A__questionmark_v1) A__questionmark_v2) (|tptp.'fun_app$j'| (|tptp.'fun_app$x'| _let_1 A__questionmark_v3) A__questionmark_v4)) (|tptp.'fun_app$j'| (|tptp.'fun_app$x'| _let_1 (|tptp.'cons$c'| A__questionmark_v1 A__questionmark_v3)) (|tptp.'cons$c'| A__questionmark_v2 A__questionmark_v4))))) (forall ((A__questionmark_v0 |tptp.'A_ltln_list_a_ltln_list_prod_a_ltln_bool_fun_fun$'|) (A__questionmark_v1 |tptp.'A_ltln_list_a_ltln_list_prod$'|) (A__questionmark_v2 |tptp.'A_ltln$'|) (A__questionmark_v3 |tptp.'A_ltln_list_a_ltln_list_prod_list$'|) (A__questionmark_v4 |tptp.'A_ltln_list$'|)) (let ((_let_1 (|tptp.'listrelp$e'| A__questionmark_v0))) (=> (and (|tptp.'fun_app$o'| (|tptp.'fun_app$ap'| A__questionmark_v0 A__questionmark_v1) A__questionmark_v2) (|tptp.'fun_app$b'| (|tptp.'fun_app$y'| _let_1 A__questionmark_v3) A__questionmark_v4)) (|tptp.'fun_app$b'| (|tptp.'fun_app$y'| _let_1 (|tptp.'fun_app$r'| (|tptp.'fun_app$s'| |tptp.'cons$e'| A__questionmark_v1) A__questionmark_v3)) (|tptp.'fun_app$t'| (|tptp.'cons$f'| A__questionmark_v2) A__questionmark_v4))))) (forall ((A__questionmark_v0 |tptp.'A_ltln_a_ltln_list_a_ltln_list_prod_bool_fun_fun$'|) (A__questionmark_v1 |tptp.'A_ltln$'|) (A__questionmark_v2 |tptp.'A_ltln_list_a_ltln_list_prod$'|) (A__questionmark_v3 |tptp.'A_ltln_list$'|) (A__questionmark_v4 |tptp.'A_ltln_list_a_ltln_list_prod_list$'|)) (let ((_let_1 (|tptp.'listrelp$f'| A__questionmark_v0))) (=> (and (|tptp.'fun_app$'| (|tptp.'fun_app$aq'| A__questionmark_v0 A__questionmark_v1) A__questionmark_v2) (|tptp.'fun_app$a'| (|tptp.'fun_app$z'| _let_1 A__questionmark_v3) A__questionmark_v4)) (|tptp.'fun_app$a'| (|tptp.'fun_app$z'| _let_1 (|tptp.'fun_app$t'| (|tptp.'cons$f'| A__questionmark_v1) A__questionmark_v3)) (|tptp.'fun_app$r'| (|tptp.'fun_app$s'| |tptp.'cons$e'| A__questionmark_v2) A__questionmark_v4))))) (forall ((A__questionmark_v0 |tptp.'A_ltln_list_a_ltln_list_prod_list_a_ltln_bool_fun_fun$'|) (A__questionmark_v1 |tptp.'A_ltln_list_a_ltln_list_prod_list$'|) (A__questionmark_v2 |tptp.'A_ltln$'|) (A__questionmark_v3 |tptp.'A_ltln_list_a_ltln_list_prod_list_list$'|) (A__questionmark_v4 |tptp.'A_ltln_list$'|)) (let ((_let_1 (|tptp.'listrelp$g'| A__questionmark_v0))) (=> (and (|tptp.'fun_app$o'| (|tptp.'fun_app$ar'| A__questionmark_v0 A__questionmark_v1) A__questionmark_v2) (|tptp.'fun_app$b'| (|tptp.'fun_app$aa'| _let_1 A__questionmark_v3) A__questionmark_v4)) (|tptp.'fun_app$b'| (|tptp.'fun_app$aa'| _let_1 (|tptp.'cons$d'| A__questionmark_v1 A__questionmark_v3)) (|tptp.'fun_app$t'| (|tptp.'cons$f'| A__questionmark_v2) A__questionmark_v4))))) (forall ((A__questionmark_v0 |tptp.'A_ltln_list_a_ltln_list_a_ltln_list_prod_bool_fun_fun$'|) (A__questionmark_v1 |tptp.'A_ltln_list$'|) (A__questionmark_v2 |tptp.'A_ltln_list_a_ltln_list_prod$'|) (A__questionmark_v3 |tptp.'A_ltln_list_list$'|) (A__questionmark_v4 |tptp.'A_ltln_list_a_ltln_list_prod_list$'|)) (let ((_let_1 (|tptp.'listrelp$h'| A__questionmark_v0))) (=> (and (|tptp.'fun_app$'| (|tptp.'fun_app$as'| A__questionmark_v0 A__questionmark_v1) A__questionmark_v2) (|tptp.'fun_app$a'| (|tptp.'fun_app$ab'| _let_1 A__questionmark_v3) A__questionmark_v4)) (|tptp.'fun_app$a'| (|tptp.'fun_app$ab'| _let_1 (|tptp.'cons$c'| A__questionmark_v1 A__questionmark_v3)) (|tptp.'fun_app$r'| (|tptp.'fun_app$s'| |tptp.'cons$e'| A__questionmark_v2) A__questionmark_v4))))) (forall ((A__questionmark_v0 |tptp.'A_ltln_list_a_ltln_list_prod_a_ltln_list_bool_fun_fun$'|) (A__questionmark_v1 |tptp.'A_ltln_list_a_ltln_list_prod$'|) (A__questionmark_v2 |tptp.'A_ltln_list$'|) (A__questionmark_v3 |tptp.'A_ltln_list_a_ltln_list_prod_list$'|) (A__questionmark_v4 |tptp.'A_ltln_list_list$'|)) (let ((_let_1 (|tptp.'listrelp$i'| A__questionmark_v0))) (=> (and (|tptp.'fun_app$b'| (|tptp.'fun_app$at'| A__questionmark_v0 A__questionmark_v1) A__questionmark_v2) (|tptp.'fun_app$j'| (|tptp.'fun_app$ac'| _let_1 A__questionmark_v3) A__questionmark_v4)) (|tptp.'fun_app$j'| (|tptp.'fun_app$ac'| _let_1 (|tptp.'fun_app$r'| (|tptp.'fun_app$s'| |tptp.'cons$e'| A__questionmark_v1) A__questionmark_v3)) (|tptp.'cons$c'| A__questionmark_v2 A__questionmark_v4))))) (forall ((A__questionmark_v0 |tptp.'A_ltln_a_ltln_list_a_ltln_list_prod_list_bool_fun_fun$'|) (A__questionmark_v1 |tptp.'A_ltln$'|) (A__questionmark_v2 |tptp.'A_ltln_list_a_ltln_list_prod_list$'|) (A__questionmark_v3 |tptp.'A_ltln_list$'|) (A__questionmark_v4 |tptp.'A_ltln_list_a_ltln_list_prod_list_list$'|)) (=> (and (|tptp.'fun_app$a'| (|tptp.'fun_app$au'| A__questionmark_v0 A__questionmark_v1) A__questionmark_v2) (|tptp.'fun_app$l'| (|tptp.'listrelp$j'| A__questionmark_v0 A__questionmark_v3) A__questionmark_v4)) (|tptp.'fun_app$l'| (|tptp.'listrelp$j'| A__questionmark_v0 (|tptp.'fun_app$t'| (|tptp.'cons$f'| A__questionmark_v1) A__questionmark_v3)) (|tptp.'cons$d'| A__questionmark_v2 A__questionmark_v4)))) (forall ((A__questionmark_v0 |tptp.'A_ltln_list_a_ltln_list_prod_a_ltln_list_a_ltln_list_prod_bool_fun_fun$'|)) (|tptp.'fun_app$a'| (|tptp.'fun_app$u'| (|tptp.'listrelp$'| A__questionmark_v0) |tptp.'nil$'|) |tptp.'nil$'|)) (forall ((A__questionmark_v0 |tptp.'A_ltln_a_ltln_bool_fun_fun$'|)) (|tptp.'fun_app$b'| (|tptp.'fun_app$v'| (|tptp.'listrelp$a'| A__questionmark_v0) |tptp.'nil$d'|) |tptp.'nil$d'|)) (forall ((A__questionmark_v0 |tptp.'A_ltln_list_a_ltln_bool_fun_fun$'|)) (|tptp.'fun_app$b'| (|tptp.'fun_app$m'| (|tptp.'listrelp$b'| A__questionmark_v0) |tptp.'nil$b'|) |tptp.'nil$d'|)) (forall ((A__questionmark_v0 |tptp.'A_ltln_a_ltln_list_bool_fun_fun$'|)) (|tptp.'fun_app$j'| (|tptp.'fun_app$w'| (|tptp.'listrelp$c'| A__questionmark_v0) |tptp.'nil$d'|) |tptp.'nil$b'|)) (forall ((A__questionmark_v0 |tptp.'A_ltln_list_a_ltln_list_bool_fun_fun$'|)) (|tptp.'fun_app$j'| (|tptp.'fun_app$x'| (|tptp.'listrelp$d'| A__questionmark_v0) |tptp.'nil$b'|) |tptp.'nil$b'|)) (forall ((A__questionmark_v0 |tptp.'A_ltln_list_a_ltln_list_prod_a_ltln_bool_fun_fun$'|)) (|tptp.'fun_app$b'| (|tptp.'fun_app$y'| (|tptp.'listrelp$e'| A__questionmark_v0) |tptp.'nil$'|) |tptp.'nil$d'|)) (forall ((A__questionmark_v0 |tptp.'A_ltln_a_ltln_list_a_ltln_list_prod_bool_fun_fun$'|)) (|tptp.'fun_app$a'| (|tptp.'fun_app$z'| (|tptp.'listrelp$f'| A__questionmark_v0) |tptp.'nil$d'|) |tptp.'nil$'|)) (forall ((A__questionmark_v0 |tptp.'A_ltln_list_a_ltln_list_prod_a_ltln_list_bool_fun_fun$'|)) (|tptp.'fun_app$j'| (|tptp.'fun_app$ac'| (|tptp.'listrelp$i'| A__questionmark_v0) |tptp.'nil$'|) |tptp.'nil$b'|)) (forall ((A__questionmark_v0 |tptp.'A_ltln_list_a_ltln_list_a_ltln_list_prod_bool_fun_fun$'|)) (|tptp.'fun_app$a'| (|tptp.'fun_app$ab'| (|tptp.'listrelp$h'| A__questionmark_v0) |tptp.'nil$b'|) |tptp.'nil$'|)) (forall ((A__questionmark_v0 |tptp.'A_ltln_list_a_ltln_list_prod_list_a_ltln_bool_fun_fun$'|)) (|tptp.'fun_app$b'| (|tptp.'fun_app$aa'| (|tptp.'listrelp$g'| A__questionmark_v0) |tptp.'nil$a'|) |tptp.'nil$d'|)) (forall ((A__questionmark_v0 |tptp.'A_ltln_a_ltln_fun$'|) (A__questionmark_v1 |tptp.'A_ltln$'|) (A__questionmark_v2 |tptp.'A_ltln_list$'|) (A__questionmark_v3 |tptp.'A_ltln_list$'|)) (= (|tptp.'fun_app$t'| (|tptp.'map_tailrec_rev$'| A__questionmark_v0 (|tptp.'fun_app$t'| (|tptp.'cons$f'| A__questionmark_v1) A__questionmark_v2)) A__questionmark_v3) (|tptp.'fun_app$t'| (|tptp.'map_tailrec_rev$'| A__questionmark_v0 A__questionmark_v2) (|tptp.'fun_app$t'| (|tptp.'cons$f'| (|tptp.'fun_app$q'| A__questionmark_v0 A__questionmark_v1)) A__questionmark_v3)))) (forall ((A__questionmark_v0 |tptp.'A_ltln_list_a_ltln_fun$'|) (A__questionmark_v1 |tptp.'A_ltln_list$'|) (A__questionmark_v2 |tptp.'A_ltln_list_list$'|) (A__questionmark_v3 |tptp.'A_ltln_list$'|)) (= (|tptp.'fun_app$t'| (|tptp.'map_tailrec_rev$a'| A__questionmark_v0 (|tptp.'cons$c'| A__questionmark_v1 A__questionmark_v2)) A__questionmark_v3) (|tptp.'fun_app$t'| (|tptp.'map_tailrec_rev$a'| A__questionmark_v0 A__questionmark_v2) (|tptp.'fun_app$t'| (|tptp.'cons$f'| (|tptp.'fun_app$ag'| A__questionmark_v0 A__questionmark_v1)) A__questionmark_v3)))) (forall ((A__questionmark_v0 |tptp.'A_ltln_a_ltln_list_fun$'|) (A__questionmark_v1 |tptp.'A_ltln$'|) (A__questionmark_v2 |tptp.'A_ltln_list$'|) (A__questionmark_v3 |tptp.'A_ltln_list_list$'|)) (= (|tptp.'map_tailrec_rev$b'| A__questionmark_v0 (|tptp.'fun_app$t'| (|tptp.'cons$f'| A__questionmark_v1) A__questionmark_v2) A__questionmark_v3) (|tptp.'map_tailrec_rev$b'| A__questionmark_v0 A__questionmark_v2 (|tptp.'cons$c'| (|tptp.'fun_app$e'| A__questionmark_v0 A__questionmark_v1) A__questionmark_v3)))) (forall ((A__questionmark_v0 |tptp.'A_ltln_list_a_ltln_list_fun$'|) (A__questionmark_v1 |tptp.'A_ltln_list$'|) (A__questionmark_v2 |tptp.'A_ltln_list_list$'|) (A__questionmark_v3 |tptp.'A_ltln_list_list$'|)) (= (|tptp.'map_tailrec_rev$c'| A__questionmark_v0 (|tptp.'cons$c'| A__questionmark_v1 A__questionmark_v2) A__questionmark_v3) (|tptp.'map_tailrec_rev$c'| A__questionmark_v0 A__questionmark_v2 (|tptp.'cons$c'| (|tptp.'fun_app$t'| A__questionmark_v0 A__questionmark_v1) A__questionmark_v3)))) (forall ((A__questionmark_v0 |tptp.'A_ltln_list_a_ltln_list_prod_a_ltln_fun$'|) (A__questionmark_v1 |tptp.'A_ltln_list_a_ltln_list_prod$'|) (A__questionmark_v2 |tptp.'A_ltln_list_a_ltln_list_prod_list$'|) (A__questionmark_v3 |tptp.'A_ltln_list$'|)) (= (|tptp.'fun_app$t'| (|tptp.'map_tailrec_rev$d'| A__questionmark_v0 (|tptp.'fun_app$r'| (|tptp.'fun_app$s'| |tptp.'cons$e'| A__questionmark_v1) A__questionmark_v2)) A__questionmark_v3) (|tptp.'fun_app$t'| (|tptp.'map_tailrec_rev$d'| A__questionmark_v0 A__questionmark_v2) (|tptp.'fun_app$t'| (|tptp.'cons$f'| (|tptp.'fun_app$ah'| A__questionmark_v0 A__questionmark_v1)) A__questionmark_v3)))) (forall ((A__questionmark_v0 |tptp.'A_ltln_a_ltln_list_a_ltln_list_prod_fun$'|) (A__questionmark_v1 |tptp.'A_ltln$'|) (A__questionmark_v2 |tptp.'A_ltln_list$'|) (A__questionmark_v3 |tptp.'A_ltln_list_a_ltln_list_prod_list$'|)) (= (|tptp.'fun_app$r'| (|tptp.'map_tailrec_rev$e'| A__questionmark_v0 (|tptp.'fun_app$t'| (|tptp.'cons$f'| A__questionmark_v1) A__questionmark_v2)) A__questionmark_v3) (|tptp.'fun_app$r'| (|tptp.'map_tailrec_rev$e'| A__questionmark_v0 A__questionmark_v2) (|tptp.'fun_app$r'| (|tptp.'fun_app$s'| |tptp.'cons$e'| (|tptp.'fun_app$ai'| A__questionmark_v0 A__questionmark_v1)) A__questionmark_v3)))) (forall ((A__questionmark_v0 |tptp.'A_ltln_list_a_ltln_list_prod_list_a_ltln_fun$'|) (A__questionmark_v1 |tptp.'A_ltln_list_a_ltln_list_prod_list$'|) (A__questionmark_v2 |tptp.'A_ltln_list_a_ltln_list_prod_list_list$'|) (A__questionmark_v3 |tptp.'A_ltln_list$'|)) (= (|tptp.'fun_app$t'| (|tptp.'map_tailrec_rev$f'| A__questionmark_v0 (|tptp.'cons$d'| A__questionmark_v1 A__questionmark_v2)) A__questionmark_v3) (|tptp.'fun_app$t'| (|tptp.'map_tailrec_rev$f'| A__questionmark_v0 A__questionmark_v2) (|tptp.'fun_app$t'| (|tptp.'cons$f'| (|tptp.'fun_app$aj'| A__questionmark_v0 A__questionmark_v1)) A__questionmark_v3)))) (forall ((A__questionmark_v0 |tptp.'A_ltln_list_a_ltln_list_a_ltln_list_prod_fun$'|) (A__questionmark_v1 |tptp.'A_ltln_list$'|) (A__questionmark_v2 |tptp.'A_ltln_list_list$'|) (A__questionmark_v3 |tptp.'A_ltln_list_a_ltln_list_prod_list$'|)) (= (|tptp.'fun_app$r'| (|tptp.'map_tailrec_rev$g'| A__questionmark_v0 (|tptp.'cons$c'| A__questionmark_v1 A__questionmark_v2)) A__questionmark_v3) (|tptp.'fun_app$r'| (|tptp.'map_tailrec_rev$g'| A__questionmark_v0 A__questionmark_v2) (|tptp.'fun_app$r'| (|tptp.'fun_app$s'| |tptp.'cons$e'| (|tptp.'fun_app$ak'| A__questionmark_v0 A__questionmark_v1)) A__questionmark_v3)))) (forall ((A__questionmark_v0 |tptp.'A_ltln_list_a_ltln_list_prod_a_ltln_list_fun$'|) (A__questionmark_v1 |tptp.'A_ltln_list_a_ltln_list_prod$'|) (A__questionmark_v2 |tptp.'A_ltln_list_a_ltln_list_prod_list$'|) (A__questionmark_v3 |tptp.'A_ltln_list_list$'|)) (= (|tptp.'map_tailrec_rev$h'| A__questionmark_v0 (|tptp.'fun_app$r'| (|tptp.'fun_app$s'| |tptp.'cons$e'| A__questionmark_v1) A__questionmark_v2) A__questionmark_v3) (|tptp.'map_tailrec_rev$h'| A__questionmark_v0 A__questionmark_v2 (|tptp.'cons$c'| (|tptp.'fun_app$al'| A__questionmark_v0 A__questionmark_v1) A__questionmark_v3)))) (forall ((A__questionmark_v0 |tptp.'A_ltln_a_ltln_list_a_ltln_list_prod_list_fun$'|) (A__questionmark_v1 |tptp.'A_ltln$'|) (A__questionmark_v2 |tptp.'A_ltln_list$'|) (A__questionmark_v3 |tptp.'A_ltln_list_a_ltln_list_prod_list_list$'|)) (= (|tptp.'map_tailrec_rev$i'| A__questionmark_v0 (|tptp.'fun_app$t'| (|tptp.'cons$f'| A__questionmark_v1) A__questionmark_v2) A__questionmark_v3) (|tptp.'map_tailrec_rev$i'| A__questionmark_v0 A__questionmark_v2 (|tptp.'cons$d'| (|tptp.'fun_app$g'| A__questionmark_v0 A__questionmark_v1) A__questionmark_v3)))) (forall ((A__questionmark_v0 |tptp.'A_ltln_list_a_ltln_list_prod_a_ltln_list_a_ltln_list_prod_prod_a_ltln_list_a_ltln_list_prod_a_ltln_list_a_ltln_list_prod_prod_bool_fun_fun$'|) (A__questionmark_v1 |tptp.'A_ltln_list_a_ltln_list_prod_a_ltln_list_a_ltln_list_prod_prod_list$'|) (A__questionmark_v2 |tptp.'A_ltln_list_a_ltln_list_prod_a_ltln_list_a_ltln_list_prod_prod_list$'|)) (= (|tptp.'fun_app$k'| (|tptp.'lexordp_eq$'| A__questionmark_v0 A__questionmark_v1) A__questionmark_v2) (or (exists ((A__questionmark_v3 |tptp.'A_ltln_list_a_ltln_list_prod_a_ltln_list_a_ltln_list_prod_prod_list$'|)) (and (= A__questionmark_v1 |tptp.'nil$c'|) (= A__questionmark_v2 A__questionmark_v3))) (exists ((A__questionmark_v3 |tptp.'A_ltln_list_a_ltln_list_prod_a_ltln_list_a_ltln_list_prod_prod$'|) (A__questionmark_v4 |tptp.'A_ltln_list_a_ltln_list_prod_a_ltln_list_a_ltln_list_prod_prod$'|) (A__questionmark_v5 |tptp.'A_ltln_list_a_ltln_list_prod_a_ltln_list_a_ltln_list_prod_prod_list$'|) (A__questionmark_v6 |tptp.'A_ltln_list_a_ltln_list_prod_a_ltln_list_a_ltln_list_prod_prod_list$'|)) (and (= A__questionmark_v1 (|tptp.'cons$g'| A__questionmark_v3 A__questionmark_v5)) (= A__questionmark_v2 (|tptp.'cons$g'| A__questionmark_v4 A__questionmark_v6)) (|tptp.'fun_app$n'| (|tptp.'fun_app$av'| A__questionmark_v0 A__questionmark_v3) A__questionmark_v4))) (exists ((A__questionmark_v3 |tptp.'A_ltln_list_a_ltln_list_prod_a_ltln_list_a_ltln_list_prod_prod$'|) (A__questionmark_v4 |tptp.'A_ltln_list_a_ltln_list_prod_a_ltln_list_a_ltln_list_prod_prod$'|) (A__questionmark_v5 |tptp.'A_ltln_list_a_ltln_list_prod_a_ltln_list_a_ltln_list_prod_prod_list$'|) (A__questionmark_v6 |tptp.'A_ltln_list_a_ltln_list_prod_a_ltln_list_a_ltln_list_prod_prod_list$'|)) (and (= A__questionmark_v1 (|tptp.'cons$g'| A__questionmark_v3 A__questionmark_v5)) (= A__questionmark_v2 (|tptp.'cons$g'| A__questionmark_v4 A__questionmark_v6)) (not (|tptp.'fun_app$n'| (|tptp.'fun_app$av'| A__questionmark_v0 A__questionmark_v3) A__questionmark_v4)) (not (|tptp.'fun_app$n'| (|tptp.'fun_app$av'| A__questionmark_v0 A__questionmark_v4) A__questionmark_v3)) (|tptp.'fun_app$k'| (|tptp.'lexordp_eq$'| A__questionmark_v0 A__questionmark_v5) A__questionmark_v6)))))) (forall ((A__questionmark_v0 |tptp.'A_ltln_list_a_ltln_list_prod_list_a_ltln_list_a_ltln_list_prod_list_bool_fun_fun$'|) (A__questionmark_v1 |tptp.'A_ltln_list_a_ltln_list_prod_list_list$'|) (A__questionmark_v2 |tptp.'A_ltln_list_a_ltln_list_prod_list_list$'|)) (= (|tptp.'fun_app$l'| (|tptp.'lexordp_eq$a'| A__questionmark_v0 A__questionmark_v1) A__questionmark_v2) (or (exists ((A__questionmark_v3 |tptp.'A_ltln_list_a_ltln_list_prod_list_list$'|)) (and (= A__questionmark_v1 |tptp.'nil$a'|) (= A__questionmark_v2 A__questionmark_v3))) (exists ((A__questionmark_v3 |tptp.'A_ltln_list_a_ltln_list_prod_list$'|) (A__questionmark_v4 |tptp.'A_ltln_list_a_ltln_list_prod_list$'|) (A__questionmark_v5 |tptp.'A_ltln_list_a_ltln_list_prod_list_list$'|) (A__questionmark_v6 |tptp.'A_ltln_list_a_ltln_list_prod_list_list$'|)) (and (= A__questionmark_v1 (|tptp.'cons$d'| A__questionmark_v3 A__questionmark_v5)) (= A__questionmark_v2 (|tptp.'cons$d'| A__questionmark_v4 A__questionmark_v6)) (|tptp.'fun_app$a'| (|tptp.'fun_app$u'| A__questionmark_v0 A__questionmark_v3) A__questionmark_v4))) (exists ((A__questionmark_v3 |tptp.'A_ltln_list_a_ltln_list_prod_list$'|) (A__questionmark_v4 |tptp.'A_ltln_list_a_ltln_list_prod_list$'|) (A__questionmark_v5 |tptp.'A_ltln_list_a_ltln_list_prod_list_list$'|) (A__questionmark_v6 |tptp.'A_ltln_list_a_ltln_list_prod_list_list$'|)) (and (= A__questionmark_v1 (|tptp.'cons$d'| A__questionmark_v3 A__questionmark_v5)) (= A__questionmark_v2 (|tptp.'cons$d'| A__questionmark_v4 A__questionmark_v6)) (not (|tptp.'fun_app$a'| (|tptp.'fun_app$u'| A__questionmark_v0 A__questionmark_v3) A__questionmark_v4)) (not (|tptp.'fun_app$a'| (|tptp.'fun_app$u'| A__questionmark_v0 A__questionmark_v4) A__questionmark_v3)) (|tptp.'fun_app$l'| (|tptp.'lexordp_eq$a'| A__questionmark_v0 A__questionmark_v5) A__questionmark_v6)))))) (forall ((A__questionmark_v0 |tptp.'A_ltln_list_a_ltln_list_bool_fun_fun$'|) (A__questionmark_v1 |tptp.'A_ltln_list_list$'|) (A__questionmark_v2 |tptp.'A_ltln_list_list$'|)) (= (|tptp.'fun_app$j'| (|tptp.'fun_app$x'| (|tptp.'lexordp_eq$b'| A__questionmark_v0) A__questionmark_v1) A__questionmark_v2) (or (exists ((A__questionmark_v3 |tptp.'A_ltln_list_list$'|)) (and (= A__questionmark_v1 |tptp.'nil$b'|) (= A__questionmark_v2 A__questionmark_v3))) (exists ((A__questionmark_v3 |tptp.'A_ltln_list$'|) (A__questionmark_v4 |tptp.'A_ltln_list$'|) (A__questionmark_v5 |tptp.'A_ltln_list_list$'|) (A__questionmark_v6 |tptp.'A_ltln_list_list$'|)) (and (= A__questionmark_v1 (|tptp.'cons$c'| A__questionmark_v3 A__questionmark_v5)) (= A__questionmark_v2 (|tptp.'cons$c'| A__questionmark_v4 A__questionmark_v6)) (|tptp.'fun_app$b'| (|tptp.'fun_app$v'| A__questionmark_v0 A__questionmark_v3) A__questionmark_v4))) (exists ((A__questionmark_v3 |tptp.'A_ltln_list$'|) (A__questionmark_v4 |tptp.'A_ltln_list$'|) (A__questionmark_v5 |tptp.'A_ltln_list_list$'|) (A__questionmark_v6 |tptp.'A_ltln_list_list$'|)) (and (= A__questionmark_v1 (|tptp.'cons$c'| A__questionmark_v3 A__questionmark_v5)) (= A__questionmark_v2 (|tptp.'cons$c'| A__questionmark_v4 A__questionmark_v6)) (not (|tptp.'fun_app$b'| (|tptp.'fun_app$v'| A__questionmark_v0 A__questionmark_v3) A__questionmark_v4)) (not (|tptp.'fun_app$b'| (|tptp.'fun_app$v'| A__questionmark_v0 A__questionmark_v4) A__questionmark_v3)) (|tptp.'fun_app$j'| (|tptp.'fun_app$x'| (|tptp.'lexordp_eq$b'| A__questionmark_v0) A__questionmark_v5) A__questionmark_v6)))))) (forall ((A__questionmark_v0 |tptp.'A_ltln_a_ltln_bool_fun_fun$'|) (A__questionmark_v1 |tptp.'A_ltln_list$'|) (A__questionmark_v2 |tptp.'A_ltln_list$'|)) (= (|tptp.'fun_app$b'| (|tptp.'fun_app$v'| (|tptp.'lexordp_eq$c'| A__questionmark_v0) A__questionmark_v1) A__questionmark_v2) (or (exists ((A__questionmark_v3 |tptp.'A_ltln_list$'|)) (and (= A__questionmark_v1 |tptp.'nil$d'|) (= A__questionmark_v2 A__questionmark_v3))) (exists ((A__questionmark_v3 |tptp.'A_ltln$'|) (A__questionmark_v4 |tptp.'A_ltln$'|) (A__questionmark_v5 |tptp.'A_ltln_list$'|) (A__questionmark_v6 |tptp.'A_ltln_list$'|)) (and (= A__questionmark_v1 (|tptp.'fun_app$t'| (|tptp.'cons$f'| A__questionmark_v3) A__questionmark_v5)) (= A__questionmark_v2 (|tptp.'fun_app$t'| (|tptp.'cons$f'| A__questionmark_v4) A__questionmark_v6)) (|tptp.'fun_app$o'| (|tptp.'fun_app$an'| A__questionmark_v0 A__questionmark_v3) A__questionmark_v4))) (exists ((A__questionmark_v3 |tptp.'A_ltln$'|) (A__questionmark_v4 |tptp.'A_ltln$'|) (A__questionmark_v5 |tptp.'A_ltln_list$'|) (A__questionmark_v6 |tptp.'A_ltln_list$'|)) (and (= A__questionmark_v1 (|tptp.'fun_app$t'| (|tptp.'cons$f'| A__questionmark_v3) A__questionmark_v5)) (= A__questionmark_v2 (|tptp.'fun_app$t'| (|tptp.'cons$f'| A__questionmark_v4) A__questionmark_v6)) (not (|tptp.'fun_app$o'| (|tptp.'fun_app$an'| A__questionmark_v0 A__questionmark_v3) A__questionmark_v4)) (not (|tptp.'fun_app$o'| (|tptp.'fun_app$an'| A__questionmark_v0 A__questionmark_v4) A__questionmark_v3)) (|tptp.'fun_app$b'| (|tptp.'fun_app$v'| (|tptp.'lexordp_eq$c'| A__questionmark_v0) A__questionmark_v5) A__questionmark_v6)))))) (forall ((A__questionmark_v0 |tptp.'A_ltln_list_a_ltln_list_prod_a_ltln_list_a_ltln_list_prod_bool_fun_fun$'|) (A__questionmark_v1 |tptp.'A_ltln_list_a_ltln_list_prod_list$'|) (A__questionmark_v2 |tptp.'A_ltln_list_a_ltln_list_prod_list$'|)) (= (|tptp.'fun_app$a'| (|tptp.'fun_app$u'| (|tptp.'lexordp_eq$d'| A__questionmark_v0) A__questionmark_v1) A__questionmark_v2) (or (exists ((A__questionmark_v3 |tptp.'A_ltln_list_a_ltln_list_prod_list$'|)) (and (= A__questionmark_v1 |tptp.'nil$'|) (= A__questionmark_v2 A__questionmark_v3))) (exists ((A__questionmark_v3 |tptp.'A_ltln_list_a_ltln_list_prod$'|) (A__questionmark_v4 |tptp.'A_ltln_list_a_ltln_list_prod$'|) (A__questionmark_v5 |tptp.'A_ltln_list_a_ltln_list_prod_list$'|) (A__questionmark_v6 |tptp.'A_ltln_list_a_ltln_list_prod_list$'|)) (and (= A__questionmark_v1 (|tptp.'fun_app$r'| (|tptp.'fun_app$s'| |tptp.'cons$e'| A__questionmark_v3) A__questionmark_v5)) (= A__questionmark_v2 (|tptp.'fun_app$r'| (|tptp.'fun_app$s'| |tptp.'cons$e'| A__questionmark_v4) A__questionmark_v6)) (|tptp.'fun_app$'| (|tptp.'fun_app$am'| A__questionmark_v0 A__questionmark_v3) A__questionmark_v4))) (exists ((A__questionmark_v3 |tptp.'A_ltln_list_a_ltln_list_prod$'|) (A__questionmark_v4 |tptp.'A_ltln_list_a_ltln_list_prod$'|) (A__questionmark_v5 |tptp.'A_ltln_list_a_ltln_list_prod_list$'|) (A__questionmark_v6 |tptp.'A_ltln_list_a_ltln_list_prod_list$'|)) (and (= A__questionmark_v1 (|tptp.'fun_app$r'| (|tptp.'fun_app$s'| |tptp.'cons$e'| A__questionmark_v3) A__questionmark_v5)) (= A__questionmark_v2 (|tptp.'fun_app$r'| (|tptp.'fun_app$s'| |tptp.'cons$e'| A__questionmark_v4) A__questionmark_v6)) (not (|tptp.'fun_app$'| (|tptp.'fun_app$am'| A__questionmark_v0 A__questionmark_v3) A__questionmark_v4)) (not (|tptp.'fun_app$'| (|tptp.'fun_app$am'| A__questionmark_v0 A__questionmark_v4) A__questionmark_v3)) (|tptp.'fun_app$a'| (|tptp.'fun_app$u'| (|tptp.'lexordp_eq$d'| A__questionmark_v0) A__questionmark_v5) A__questionmark_v6)))))) (forall ((A__questionmark_v0 |tptp.'A_ltln_list_a_ltln_list_prod_a_ltln_list_a_ltln_list_prod_prod_a_ltln_list_a_ltln_list_prod_a_ltln_list_a_ltln_list_prod_prod_bool_fun_fun$'|) (A__questionmark_v1 |tptp.'A_ltln_list_a_ltln_list_prod_a_ltln_list_a_ltln_list_prod_prod_list$'|) (A__questionmark_v2 |tptp.'A_ltln_list_a_ltln_list_prod_a_ltln_list_a_ltln_list_prod_prod_list$'|)) (=> (and (|tptp.'fun_app$k'| (|tptp.'lexordp_eq$'| A__questionmark_v0 A__questionmark_v1) A__questionmark_v2) (forall ((A__questionmark_v3 |tptp.'A_ltln_list_a_ltln_list_prod_a_ltln_list_a_ltln_list_prod_prod_list$'|)) (=> (and (= A__questionmark_v1 |tptp.'nil$c'|) (= A__questionmark_v2 A__questionmark_v3)) false)) (forall ((A__questionmark_v3 |tptp.'A_ltln_list_a_ltln_list_prod_a_ltln_list_a_ltln_list_prod_prod$'|) (A__questionmark_v4 |tptp.'A_ltln_list_a_ltln_list_prod_a_ltln_list_a_ltln_list_prod_prod$'|) (A__questionmark_v5 |tptp.'A_ltln_list_a_ltln_list_prod_a_ltln_list_a_ltln_list_prod_prod_list$'|) (A__questionmark_v6 |tptp.'A_ltln_list_a_ltln_list_prod_a_ltln_list_a_ltln_list_prod_prod_list$'|)) (=> (and (= A__questionmark_v1 (|tptp.'cons$g'| A__questionmark_v3 A__questionmark_v5)) (= A__questionmark_v2 (|tptp.'cons$g'| A__questionmark_v4 A__questionmark_v6)) (|tptp.'fun_app$n'| (|tptp.'fun_app$av'| A__questionmark_v0 A__questionmark_v3) A__questionmark_v4)) false)) (forall ((A__questionmark_v3 |tptp.'A_ltln_list_a_ltln_list_prod_a_ltln_list_a_ltln_list_prod_prod$'|) (A__questionmark_v4 |tptp.'A_ltln_list_a_ltln_list_prod_a_ltln_list_a_ltln_list_prod_prod$'|) (A__questionmark_v5 |tptp.'A_ltln_list_a_ltln_list_prod_a_ltln_list_a_ltln_list_prod_prod_list$'|) (A__questionmark_v6 |tptp.'A_ltln_list_a_ltln_list_prod_a_ltln_list_a_ltln_list_prod_prod_list$'|)) (=> (and (= A__questionmark_v1 (|tptp.'cons$g'| A__questionmark_v3 A__questionmark_v5)) (= A__questionmark_v2 (|tptp.'cons$g'| A__questionmark_v4 A__questionmark_v6)) (not (|tptp.'fun_app$n'| (|tptp.'fun_app$av'| A__questionmark_v0 A__questionmark_v3) A__questionmark_v4)) (not (|tptp.'fun_app$n'| (|tptp.'fun_app$av'| A__questionmark_v0 A__questionmark_v4) A__questionmark_v3)) (|tptp.'fun_app$k'| (|tptp.'lexordp_eq$'| A__questionmark_v0 A__questionmark_v5) A__questionmark_v6)) false))) false)) (forall ((A__questionmark_v0 |tptp.'A_ltln_list_a_ltln_list_prod_list_a_ltln_list_a_ltln_list_prod_list_bool_fun_fun$'|) (A__questionmark_v1 |tptp.'A_ltln_list_a_ltln_list_prod_list_list$'|) (A__questionmark_v2 |tptp.'A_ltln_list_a_ltln_list_prod_list_list$'|)) (=> (and (|tptp.'fun_app$l'| (|tptp.'lexordp_eq$a'| A__questionmark_v0 A__questionmark_v1) A__questionmark_v2) (forall ((A__questionmark_v3 |tptp.'A_ltln_list_a_ltln_list_prod_list_list$'|)) (=> (and (= A__questionmark_v1 |tptp.'nil$a'|) (= A__questionmark_v2 A__questionmark_v3)) false)) (forall ((A__questionmark_v3 |tptp.'A_ltln_list_a_ltln_list_prod_list$'|) (A__questionmark_v4 |tptp.'A_ltln_list_a_ltln_list_prod_list$'|) (A__questionmark_v5 |tptp.'A_ltln_list_a_ltln_list_prod_list_list$'|) (A__questionmark_v6 |tptp.'A_ltln_list_a_ltln_list_prod_list_list$'|)) (=> (and (= A__questionmark_v1 (|tptp.'cons$d'| A__questionmark_v3 A__questionmark_v5)) (= A__questionmark_v2 (|tptp.'cons$d'| A__questionmark_v4 A__questionmark_v6)) (|tptp.'fun_app$a'| (|tptp.'fun_app$u'| A__questionmark_v0 A__questionmark_v3) A__questionmark_v4)) false)) (forall ((A__questionmark_v3 |tptp.'A_ltln_list_a_ltln_list_prod_list$'|) (A__questionmark_v4 |tptp.'A_ltln_list_a_ltln_list_prod_list$'|) (A__questionmark_v5 |tptp.'A_ltln_list_a_ltln_list_prod_list_list$'|) (A__questionmark_v6 |tptp.'A_ltln_list_a_ltln_list_prod_list_list$'|)) (=> (and (= A__questionmark_v1 (|tptp.'cons$d'| A__questionmark_v3 A__questionmark_v5)) (= A__questionmark_v2 (|tptp.'cons$d'| A__questionmark_v4 A__questionmark_v6)) (not (|tptp.'fun_app$a'| (|tptp.'fun_app$u'| A__questionmark_v0 A__questionmark_v3) A__questionmark_v4)) (not (|tptp.'fun_app$a'| (|tptp.'fun_app$u'| A__questionmark_v0 A__questionmark_v4) A__questionmark_v3)) (|tptp.'fun_app$l'| (|tptp.'lexordp_eq$a'| A__questionmark_v0 A__questionmark_v5) A__questionmark_v6)) false))) false)) (forall ((A__questionmark_v0 |tptp.'A_ltln_list_a_ltln_list_bool_fun_fun$'|) (A__questionmark_v1 |tptp.'A_ltln_list_list$'|) (A__questionmark_v2 |tptp.'A_ltln_list_list$'|)) (=> (and (|tptp.'fun_app$j'| (|tptp.'fun_app$x'| (|tptp.'lexordp_eq$b'| A__questionmark_v0) A__questionmark_v1) A__questionmark_v2) (forall ((A__questionmark_v3 |tptp.'A_ltln_list_list$'|)) (=> (and (= A__questionmark_v1 |tptp.'nil$b'|) (= A__questionmark_v2 A__questionmark_v3)) false)) (forall ((A__questionmark_v3 |tptp.'A_ltln_list$'|) (A__questionmark_v4 |tptp.'A_ltln_list$'|) (A__questionmark_v5 |tptp.'A_ltln_list_list$'|) (A__questionmark_v6 |tptp.'A_ltln_list_list$'|)) (=> (and (= A__questionmark_v1 (|tptp.'cons$c'| A__questionmark_v3 A__questionmark_v5)) (= A__questionmark_v2 (|tptp.'cons$c'| A__questionmark_v4 A__questionmark_v6)) (|tptp.'fun_app$b'| (|tptp.'fun_app$v'| A__questionmark_v0 A__questionmark_v3) A__questionmark_v4)) false)) (forall ((A__questionmark_v3 |tptp.'A_ltln_list$'|) (A__questionmark_v4 |tptp.'A_ltln_list$'|) (A__questionmark_v5 |tptp.'A_ltln_list_list$'|) (A__questionmark_v6 |tptp.'A_ltln_list_list$'|)) (=> (and (= A__questionmark_v1 (|tptp.'cons$c'| A__questionmark_v3 A__questionmark_v5)) (= A__questionmark_v2 (|tptp.'cons$c'| A__questionmark_v4 A__questionmark_v6)) (not (|tptp.'fun_app$b'| (|tptp.'fun_app$v'| A__questionmark_v0 A__questionmark_v3) A__questionmark_v4)) (not (|tptp.'fun_app$b'| (|tptp.'fun_app$v'| A__questionmark_v0 A__questionmark_v4) A__questionmark_v3)) (|tptp.'fun_app$j'| (|tptp.'fun_app$x'| (|tptp.'lexordp_eq$b'| A__questionmark_v0) A__questionmark_v5) A__questionmark_v6)) false))) false)) (forall ((A__questionmark_v0 |tptp.'A_ltln_a_ltln_bool_fun_fun$'|) (A__questionmark_v1 |tptp.'A_ltln_list$'|) (A__questionmark_v2 |tptp.'A_ltln_list$'|)) (=> (and (|tptp.'fun_app$b'| (|tptp.'fun_app$v'| (|tptp.'lexordp_eq$c'| A__questionmark_v0) A__questionmark_v1) A__questionmark_v2) (forall ((A__questionmark_v3 |tptp.'A_ltln_list$'|)) (=> (and (= A__questionmark_v1 |tptp.'nil$d'|) (= A__questionmark_v2 A__questionmark_v3)) false)) (forall ((A__questionmark_v3 |tptp.'A_ltln$'|) (A__questionmark_v4 |tptp.'A_ltln$'|) (A__questionmark_v5 |tptp.'A_ltln_list$'|) (A__questionmark_v6 |tptp.'A_ltln_list$'|)) (=> (and (= A__questionmark_v1 (|tptp.'fun_app$t'| (|tptp.'cons$f'| A__questionmark_v3) A__questionmark_v5)) (= A__questionmark_v2 (|tptp.'fun_app$t'| (|tptp.'cons$f'| A__questionmark_v4) A__questionmark_v6)) (|tptp.'fun_app$o'| (|tptp.'fun_app$an'| A__questionmark_v0 A__questionmark_v3) A__questionmark_v4)) false)) (forall ((A__questionmark_v3 |tptp.'A_ltln$'|) (A__questionmark_v4 |tptp.'A_ltln$'|) (A__questionmark_v5 |tptp.'A_ltln_list$'|) (A__questionmark_v6 |tptp.'A_ltln_list$'|)) (=> (and (= A__questionmark_v1 (|tptp.'fun_app$t'| (|tptp.'cons$f'| A__questionmark_v3) A__questionmark_v5)) (= A__questionmark_v2 (|tptp.'fun_app$t'| (|tptp.'cons$f'| A__questionmark_v4) A__questionmark_v6)) (not (|tptp.'fun_app$o'| (|tptp.'fun_app$an'| A__questionmark_v0 A__questionmark_v3) A__questionmark_v4)) (not (|tptp.'fun_app$o'| (|tptp.'fun_app$an'| A__questionmark_v0 A__questionmark_v4) A__questionmark_v3)) (|tptp.'fun_app$b'| (|tptp.'fun_app$v'| (|tptp.'lexordp_eq$c'| A__questionmark_v0) A__questionmark_v5) A__questionmark_v6)) false))) false)) (forall ((A__questionmark_v0 |tptp.'A_ltln_list_a_ltln_list_prod_a_ltln_list_a_ltln_list_prod_bool_fun_fun$'|) (A__questionmark_v1 |tptp.'A_ltln_list_a_ltln_list_prod_list$'|) (A__questionmark_v2 |tptp.'A_ltln_list_a_ltln_list_prod_list$'|)) (=> (and (|tptp.'fun_app$a'| (|tptp.'fun_app$u'| (|tptp.'lexordp_eq$d'| A__questionmark_v0) A__questionmark_v1) A__questionmark_v2) (forall ((A__questionmark_v3 |tptp.'A_ltln_list_a_ltln_list_prod_list$'|)) (=> (and (= A__questionmark_v1 |tptp.'nil$'|) (= A__questionmark_v2 A__questionmark_v3)) false)) (forall ((A__questionmark_v3 |tptp.'A_ltln_list_a_ltln_list_prod$'|) (A__questionmark_v4 |tptp.'A_ltln_list_a_ltln_list_prod$'|) (A__questionmark_v5 |tptp.'A_ltln_list_a_ltln_list_prod_list$'|) (A__questionmark_v6 |tptp.'A_ltln_list_a_ltln_list_prod_list$'|)) (=> (and (= A__questionmark_v1 (|tptp.'fun_app$r'| (|tptp.'fun_app$s'| |tptp.'cons$e'| A__questionmark_v3) A__questionmark_v5)) (= A__questionmark_v2 (|tptp.'fun_app$r'| (|tptp.'fun_app$s'| |tptp.'cons$e'| A__questionmark_v4) A__questionmark_v6)) (|tptp.'fun_app$'| (|tptp.'fun_app$am'| A__questionmark_v0 A__questionmark_v3) A__questionmark_v4)) false)) (forall ((A__questionmark_v3 |tptp.'A_ltln_list_a_ltln_list_prod$'|) (A__questionmark_v4 |tptp.'A_ltln_list_a_ltln_list_prod$'|) (A__questionmark_v5 |tptp.'A_ltln_list_a_ltln_list_prod_list$'|) (A__questionmark_v6 |tptp.'A_ltln_list_a_ltln_list_prod_list$'|)) (=> (and (= A__questionmark_v1 (|tptp.'fun_app$r'| (|tptp.'fun_app$s'| |tptp.'cons$e'| A__questionmark_v3) A__questionmark_v5)) (= A__questionmark_v2 (|tptp.'fun_app$r'| (|tptp.'fun_app$s'| |tptp.'cons$e'| A__questionmark_v4) A__questionmark_v6)) (not (|tptp.'fun_app$'| (|tptp.'fun_app$am'| A__questionmark_v0 A__questionmark_v3) A__questionmark_v4)) (not (|tptp.'fun_app$'| (|tptp.'fun_app$am'| A__questionmark_v0 A__questionmark_v4) A__questionmark_v3)) (|tptp.'fun_app$a'| (|tptp.'fun_app$u'| (|tptp.'lexordp_eq$d'| A__questionmark_v0) A__questionmark_v5) A__questionmark_v6)) false))) false)) (= (|tptp.'suffixes$'| |tptp.'nil$b'|) _let_5) (= (|tptp.'suffixes$a'| |tptp.'nil$c'|) _let_4) (= (|tptp.'suffixes$b'| |tptp.'nil$a'|) _let_3) (= (|tptp.'fun_app$d'| |tptp.'suffixes$c'| |tptp.'nil$d'|) _let_2) (= (|tptp.'fun_app$f'| |tptp.'suffixes$d'| |tptp.'nil$'|) _let_1) (= (|tptp.'prefixes$'| |tptp.'nil$b'|) _let_5) (= (|tptp.'prefixes$a'| |tptp.'nil$c'|) _let_4) (= (|tptp.'prefixes$b'| |tptp.'nil$a'|) _let_3) (= (|tptp.'fun_app$d'| |tptp.'prefixes$c'| |tptp.'nil$d'|) _let_2) (= (|tptp.'fun_app$f'| |tptp.'prefixes$d'| |tptp.'nil$'|) _let_1) (forall ((A__questionmark_v0 |tptp.'A_ltln_list_a_ltln_list_prod_a_ltln_list_a_ltln_list_prod_prod$'|) (A__questionmark_v1 |tptp.'A_ltln_list_a_ltln_list_prod_a_ltln_list_a_ltln_list_prod_prod_list$'|) (A__questionmark_v2 |tptp.'A_ltln_list_a_ltln_list_prod_a_ltln_list_a_ltln_list_prod_prod_list_set$'|) (A__questionmark_v3 |tptp.'A_ltln_list_a_ltln_list_prod_a_ltln_list_a_ltln_list_prod_prod$'|) (A__questionmark_v4 |tptp.'A_ltln_list_a_ltln_list_prod_a_ltln_list_a_ltln_list_prod_prod_list$'|)) (=> (and (|tptp.'member$i'| (|tptp.'cons$g'| A__questionmark_v0 A__questionmark_v1) A__questionmark_v2) (|tptp.'member$i'| (|tptp.'cons$g'| A__questionmark_v3 A__questionmark_v4) A__questionmark_v2) (not (= A__questionmark_v0 A__questionmark_v3))) (= (|tptp.'longest_common_prefix$'| A__questionmark_v2) |tptp.'nil$c'|))) (forall ((A__questionmark_v0 |tptp.'A_ltln_list_a_ltln_list_prod_list$'|) (A__questionmark_v1 |tptp.'A_ltln_list_a_ltln_list_prod_list_list$'|) (A__questionmark_v2 |tptp.'A_ltln_list_a_ltln_list_prod_list_list_set$'|) (A__questionmark_v3 |tptp.'A_ltln_list_a_ltln_list_prod_list$'|) (A__questionmark_v4 |tptp.'A_ltln_list_a_ltln_list_prod_list_list$'|)) (=> (and (|tptp.'member$j'| (|tptp.'cons$d'| A__questionmark_v0 A__questionmark_v1) A__questionmark_v2) (|tptp.'member$j'| (|tptp.'cons$d'| A__questionmark_v3 A__questionmark_v4) A__questionmark_v2) (not (= A__questionmark_v0 A__questionmark_v3))) (= (|tptp.'longest_common_prefix$a'| A__questionmark_v2) |tptp.'nil$a'|))) (forall ((A__questionmark_v0 |tptp.'A_ltln_list$'|) (A__questionmark_v1 |tptp.'A_ltln_list_list$'|) (A__questionmark_v2 |tptp.'A_ltln_list_list_set$'|) (A__questionmark_v3 |tptp.'A_ltln_list$'|) (A__questionmark_v4 |tptp.'A_ltln_list_list$'|)) (=> (and (|tptp.'member$k'| (|tptp.'cons$c'| A__questionmark_v0 A__questionmark_v1) A__questionmark_v2) (|tptp.'member$k'| (|tptp.'cons$c'| A__questionmark_v3 A__questionmark_v4) A__questionmark_v2) (not (= A__questionmark_v0 A__questionmark_v3))) (= (|tptp.'longest_common_prefix$b'| A__questionmark_v2) |tptp.'nil$b'|))) (forall ((A__questionmark_v0 |tptp.'A_ltln$'|) (A__questionmark_v1 |tptp.'A_ltln_list$'|) (A__questionmark_v2 |tptp.'A_ltln_list_set$'|) (A__questionmark_v3 |tptp.'A_ltln$'|) (A__questionmark_v4 |tptp.'A_ltln_list$'|)) (=> (and (|tptp.'member$b'| (|tptp.'fun_app$t'| (|tptp.'cons$f'| A__questionmark_v0) A__questionmark_v1) A__questionmark_v2) (|tptp.'member$b'| (|tptp.'fun_app$t'| (|tptp.'cons$f'| A__questionmark_v3) A__questionmark_v4) A__questionmark_v2) (not (= A__questionmark_v0 A__questionmark_v3))) (= (|tptp.'longest_common_prefix$c'| A__questionmark_v2) |tptp.'nil$d'|))) (forall ((A__questionmark_v0 |tptp.'A_ltln_list_a_ltln_list_prod$'|) (A__questionmark_v1 |tptp.'A_ltln_list_a_ltln_list_prod_list$'|) (A__questionmark_v2 |tptp.'A_ltln_list_a_ltln_list_prod_list_set$'|) (A__questionmark_v3 |tptp.'A_ltln_list_a_ltln_list_prod$'|) (A__questionmark_v4 |tptp.'A_ltln_list_a_ltln_list_prod_list$'|)) (=> (and (|tptp.'member$a'| (|tptp.'fun_app$r'| (|tptp.'fun_app$s'| |tptp.'cons$e'| A__questionmark_v0) A__questionmark_v1) A__questionmark_v2) (|tptp.'member$a'| (|tptp.'fun_app$r'| (|tptp.'fun_app$s'| |tptp.'cons$e'| A__questionmark_v3) A__questionmark_v4) A__questionmark_v2) (not (= A__questionmark_v0 A__questionmark_v3))) (= (|tptp.'longest_common_prefix$d'| A__questionmark_v2) |tptp.'nil$'|))) (forall ((A__questionmark_v0 |tptp.'A_ltln_list_a_ltln_list_prod_a_ltln_list_a_ltln_list_prod_prod_list$'|) (A__questionmark_v1 |tptp.'A_ltln_list_a_ltln_list_prod_a_ltln_list_a_ltln_list_prod_prod_list$'|) (A__questionmark_v2 |tptp.'A_ltln_list_a_ltln_list_prod_a_ltln_list_a_ltln_list_prod_prod_list$'|)) (=> (and (= (|tptp.'longest_common_prefix$e'| A__questionmark_v0 A__questionmark_v1) A__questionmark_v2) (forall ((A__questionmark_v3 |tptp.'A_ltln_list_a_ltln_list_prod_a_ltln_list_a_ltln_list_prod_prod$'|) (A__questionmark_v4 |tptp.'A_ltln_list_a_ltln_list_prod_a_ltln_list_a_ltln_list_prod_prod_list$'|) (A__questionmark_v5 |tptp.'A_ltln_list_a_ltln_list_prod_a_ltln_list_a_ltln_list_prod_prod$'|) (A__questionmark_v6 |tptp.'A_ltln_list_a_ltln_list_prod_a_ltln_list_a_ltln_list_prod_prod_list$'|)) (let ((_let_1 (= A__questionmark_v3 A__questionmark_v5))) (=> (and (= A__questionmark_v0 (|tptp.'cons$g'| A__questionmark_v3 A__questionmark_v4)) (= A__questionmark_v1 (|tptp.'cons$g'| A__questionmark_v5 A__questionmark_v6)) (=> _let_1 (= A__questionmark_v2 (|tptp.'cons$g'| A__questionmark_v3 (|tptp.'longest_common_prefix$e'| A__questionmark_v4 A__questionmark_v6)))) (=> (not _let_1) (= A__questionmark_v2 |tptp.'nil$c'|))) false))) (forall ((A__questionmark_v3 |tptp.'A_ltln_list_a_ltln_list_prod_a_ltln_list_a_ltln_list_prod_prod_list$'|)) (=> (and (= A__questionmark_v0 |tptp.'nil$c'|) (= A__questionmark_v1 A__questionmark_v3) (= A__questionmark_v2 |tptp.'nil$c'|)) false)) (forall ((A__questionmark_v3 |tptp.'A_ltln_list_a_ltln_list_prod_a_ltln_list_a_ltln_list_prod_prod_list$'|)) (=> (and (= A__questionmark_v0 A__questionmark_v3) (= A__questionmark_v1 |tptp.'nil$c'|) (= A__questionmark_v2 |tptp.'nil$c'|)) false))) false)) (forall ((A__questionmark_v0 |tptp.'A_ltln_list_a_ltln_list_prod_list_list$'|) (A__questionmark_v1 |tptp.'A_ltln_list_a_ltln_list_prod_list_list$'|) (A__questionmark_v2 |tptp.'A_ltln_list_a_ltln_list_prod_list_list$'|)) (=> (and (= (|tptp.'longest_common_prefix$f'| A__questionmark_v0 A__questionmark_v1) A__questionmark_v2) (forall ((A__questionmark_v3 |tptp.'A_ltln_list_a_ltln_list_prod_list$'|) (A__questionmark_v4 |tptp.'A_ltln_list_a_ltln_list_prod_list_list$'|) (A__questionmark_v5 |tptp.'A_ltln_list_a_ltln_list_prod_list$'|) (A__questionmark_v6 |tptp.'A_ltln_list_a_ltln_list_prod_list_list$'|)) (let ((_let_1 (= A__questionmark_v3 A__questionmark_v5))) (=> (and (= A__questionmark_v0 (|tptp.'cons$d'| A__questionmark_v3 A__questionmark_v4)) (= A__questionmark_v1 (|tptp.'cons$d'| A__questionmark_v5 A__questionmark_v6)) (=> _let_1 (= A__questionmark_v2 (|tptp.'cons$d'| A__questionmark_v3 (|tptp.'longest_common_prefix$f'| A__questionmark_v4 A__questionmark_v6)))) (=> (not _let_1) (= A__questionmark_v2 |tptp.'nil$a'|))) false))) (forall ((A__questionmark_v3 |tptp.'A_ltln_list_a_ltln_list_prod_list_list$'|)) (=> (and (= A__questionmark_v0 |tptp.'nil$a'|) (= A__questionmark_v1 A__questionmark_v3) (= A__questionmark_v2 |tptp.'nil$a'|)) false)) (forall ((A__questionmark_v3 |tptp.'A_ltln_list_a_ltln_list_prod_list_list$'|)) (=> (and (= A__questionmark_v0 A__questionmark_v3) (= A__questionmark_v1 |tptp.'nil$a'|) (= A__questionmark_v2 |tptp.'nil$a'|)) false))) false)) (forall ((A__questionmark_v0 |tptp.'A_ltln_list_list$'|) (A__questionmark_v1 |tptp.'A_ltln_list_list$'|) (A__questionmark_v2 |tptp.'A_ltln_list_list$'|)) (=> (and (= (|tptp.'longest_common_prefix$g'| A__questionmark_v0 A__questionmark_v1) A__questionmark_v2) (forall ((A__questionmark_v3 |tptp.'A_ltln_list$'|) (A__questionmark_v4 |tptp.'A_ltln_list_list$'|) (A__questionmark_v5 |tptp.'A_ltln_list$'|) (A__questionmark_v6 |tptp.'A_ltln_list_list$'|)) (let ((_let_1 (= A__questionmark_v3 A__questionmark_v5))) (=> (and (= A__questionmark_v0 (|tptp.'cons$c'| A__questionmark_v3 A__questionmark_v4)) (= A__questionmark_v1 (|tptp.'cons$c'| A__questionmark_v5 A__questionmark_v6)) (=> _let_1 (= A__questionmark_v2 (|tptp.'cons$c'| A__questionmark_v3 (|tptp.'longest_common_prefix$g'| A__questionmark_v4 A__questionmark_v6)))) (=> (not _let_1) (= A__questionmark_v2 |tptp.'nil$b'|))) false))) (forall ((A__questionmark_v3 |tptp.'A_ltln_list_list$'|)) (=> (and (= A__questionmark_v0 |tptp.'nil$b'|) (= A__questionmark_v1 A__questionmark_v3) (= A__questionmark_v2 |tptp.'nil$b'|)) false)) (forall ((A__questionmark_v3 |tptp.'A_ltln_list_list$'|)) (=> (and (= A__questionmark_v0 A__questionmark_v3) (= A__questionmark_v1 |tptp.'nil$b'|) (= A__questionmark_v2 |tptp.'nil$b'|)) false))) false)) (forall ((A__questionmark_v0 |tptp.'A_ltln_list$'|) (A__questionmark_v1 |tptp.'A_ltln_list$'|) (A__questionmark_v2 |tptp.'A_ltln_list$'|)) (=> (and (= (|tptp.'fun_app$t'| (|tptp.'longest_common_prefix$h'| A__questionmark_v0) A__questionmark_v1) A__questionmark_v2) (forall ((A__questionmark_v3 |tptp.'A_ltln$'|) (A__questionmark_v4 |tptp.'A_ltln_list$'|) (A__questionmark_v5 |tptp.'A_ltln$'|) (A__questionmark_v6 |tptp.'A_ltln_list$'|)) (let ((_let_1 (= A__questionmark_v3 A__questionmark_v5))) (let ((_let_2 (|tptp.'cons$f'| A__questionmark_v3))) (=> (and (= A__questionmark_v0 (|tptp.'fun_app$t'| _let_2 A__questionmark_v4)) (= A__questionmark_v1 (|tptp.'fun_app$t'| (|tptp.'cons$f'| A__questionmark_v5) A__questionmark_v6)) (=> _let_1 (= A__questionmark_v2 (|tptp.'fun_app$t'| _let_2 (|tptp.'fun_app$t'| (|tptp.'longest_common_prefix$h'| A__questionmark_v4) A__questionmark_v6)))) (=> (not _let_1) (= A__questionmark_v2 |tptp.'nil$d'|))) false)))) (forall ((A__questionmark_v3 |tptp.'A_ltln_list$'|)) (=> (and (= A__questionmark_v0 |tptp.'nil$d'|) (= A__questionmark_v1 A__questionmark_v3) (= A__questionmark_v2 |tptp.'nil$d'|)) false)) (forall ((A__questionmark_v3 |tptp.'A_ltln_list$'|)) (=> (and (= A__questionmark_v0 A__questionmark_v3) (= A__questionmark_v1 |tptp.'nil$d'|) (= A__questionmark_v2 |tptp.'nil$d'|)) false))) false)) (forall ((A__questionmark_v0 |tptp.'A_ltln_list_a_ltln_list_prod_list$'|) (A__questionmark_v1 |tptp.'A_ltln_list_a_ltln_list_prod_list$'|) (A__questionmark_v2 |tptp.'A_ltln_list_a_ltln_list_prod_list$'|)) (=> (and (= (|tptp.'fun_app$r'| (|tptp.'longest_common_prefix$i'| A__questionmark_v0) A__questionmark_v1) A__questionmark_v2) (forall ((A__questionmark_v3 |tptp.'A_ltln_list_a_ltln_list_prod$'|) (A__questionmark_v4 |tptp.'A_ltln_list_a_ltln_list_prod_list$'|) (A__questionmark_v5 |tptp.'A_ltln_list_a_ltln_list_prod$'|) (A__questionmark_v6 |tptp.'A_ltln_list_a_ltln_list_prod_list$'|)) (let ((_let_1 (= A__questionmark_v3 A__questionmark_v5))) (let ((_let_2 (|tptp.'fun_app$s'| |tptp.'cons$e'| A__questionmark_v3))) (=> (and (= A__questionmark_v0 (|tptp.'fun_app$r'| _let_2 A__questionmark_v4)) (= A__questionmark_v1 (|tptp.'fun_app$r'| (|tptp.'fun_app$s'| |tptp.'cons$e'| A__questionmark_v5) A__questionmark_v6)) (=> _let_1 (= A__questionmark_v2 (|tptp.'fun_app$r'| _let_2 (|tptp.'fun_app$r'| (|tptp.'longest_common_prefix$i'| A__questionmark_v4) A__questionmark_v6)))) (=> (not _let_1) (= A__questionmark_v2 |tptp.'nil$'|))) false)))) (forall ((A__questionmark_v3 |tptp.'A_ltln_list_a_ltln_list_prod_list$'|)) (=> (and (= A__questionmark_v0 |tptp.'nil$'|) (= A__questionmark_v1 A__questionmark_v3) (= A__questionmark_v2 |tptp.'nil$'|)) false)) (forall ((A__questionmark_v3 |tptp.'A_ltln_list_a_ltln_list_prod_list$'|)) (=> (and (= A__questionmark_v0 A__questionmark_v3) (= A__questionmark_v1 |tptp.'nil$'|) (= A__questionmark_v2 |tptp.'nil$'|)) false))) false)) (forall ((A__questionmark_v0 |tptp.'A_ltln_list_a_ltln_list_prod_a_ltln_list_a_ltln_list_prod_prod$'|) (A__questionmark_v1 |tptp.'A_ltln_list_a_ltln_list_prod_a_ltln_list_a_ltln_list_prod_prod_list$'|) (A__questionmark_v2 |tptp.'A_ltln_list_a_ltln_list_prod_a_ltln_list_a_ltln_list_prod_prod$'|) (A__questionmark_v3 |tptp.'A_ltln_list_a_ltln_list_prod_a_ltln_list_a_ltln_list_prod_prod_list$'|)) (let ((_let_1 (|tptp.'longest_common_prefix$e'| (|tptp.'cons$g'| A__questionmark_v0 A__questionmark_v1) (|tptp.'cons$g'| A__questionmark_v2 A__questionmark_v3)))) (let ((_let_2 (= A__questionmark_v0 A__questionmark_v2))) (and (=> _let_2 (= _let_1 (|tptp.'cons$g'| A__questionmark_v0 (|tptp.'longest_common_prefix$e'| A__questionmark_v1 A__questionmark_v3)))) (=> (not _let_2) (= _let_1 |tptp.'nil$c'|)))))) (forall ((A__questionmark_v0 |tptp.'A_ltln_list_a_ltln_list_prod_list$'|) (A__questionmark_v1 |tptp.'A_ltln_list_a_ltln_list_prod_list_list$'|) (A__questionmark_v2 |tptp.'A_ltln_list_a_ltln_list_prod_list$'|) (A__questionmark_v3 |tptp.'A_ltln_list_a_ltln_list_prod_list_list$'|)) (let ((_let_1 (|tptp.'longest_common_prefix$f'| (|tptp.'cons$d'| A__questionmark_v0 A__questionmark_v1) (|tptp.'cons$d'| A__questionmark_v2 A__questionmark_v3)))) (let ((_let_2 (= A__questionmark_v0 A__questionmark_v2))) (and (=> _let_2 (= _let_1 (|tptp.'cons$d'| A__questionmark_v0 (|tptp.'longest_common_prefix$f'| A__questionmark_v1 A__questionmark_v3)))) (=> (not _let_2) (= _let_1 |tptp.'nil$a'|)))))) (forall ((A__questionmark_v0 |tptp.'A_ltln_list$'|) (A__questionmark_v1 |tptp.'A_ltln_list_list$'|) (A__questionmark_v2 |tptp.'A_ltln_list$'|) (A__questionmark_v3 |tptp.'A_ltln_list_list$'|)) (let ((_let_1 (|tptp.'longest_common_prefix$g'| (|tptp.'cons$c'| A__questionmark_v0 A__questionmark_v1) (|tptp.'cons$c'| A__questionmark_v2 A__questionmark_v3)))) (let ((_let_2 (= A__questionmark_v0 A__questionmark_v2))) (and (=> _let_2 (= _let_1 (|tptp.'cons$c'| A__questionmark_v0 (|tptp.'longest_common_prefix$g'| A__questionmark_v1 A__questionmark_v3)))) (=> (not _let_2) (= _let_1 |tptp.'nil$b'|)))))) (forall ((A__questionmark_v0 |tptp.'A_ltln$'|) (A__questionmark_v1 |tptp.'A_ltln_list$'|) (A__questionmark_v2 |tptp.'A_ltln$'|) (A__questionmark_v3 |tptp.'A_ltln_list$'|)) (let ((_let_1 (|tptp.'cons$f'| A__questionmark_v0))) (let ((_let_2 (|tptp.'fun_app$t'| (|tptp.'longest_common_prefix$h'| (|tptp.'fun_app$t'| _let_1 A__questionmark_v1)) (|tptp.'fun_app$t'| (|tptp.'cons$f'| A__questionmark_v2) A__questionmark_v3)))) (let ((_let_3 (= A__questionmark_v0 A__questionmark_v2))) (and (=> _let_3 (= _let_2 (|tptp.'fun_app$t'| _let_1 (|tptp.'fun_app$t'| (|tptp.'longest_common_prefix$h'| A__questionmark_v1) A__questionmark_v3)))) (=> (not _let_3) (= _let_2 |tptp.'nil$d'|))))))) (forall ((A__questionmark_v0 |tptp.'A_ltln_list_a_ltln_list_prod$'|) (A__questionmark_v1 |tptp.'A_ltln_list_a_ltln_list_prod_list$'|) (A__questionmark_v2 |tptp.'A_ltln_list_a_ltln_list_prod$'|) (A__questionmark_v3 |tptp.'A_ltln_list_a_ltln_list_prod_list$'|)) (let ((_let_1 (|tptp.'fun_app$s'| |tptp.'cons$e'| A__questionmark_v0))) (let ((_let_2 (|tptp.'fun_app$r'| (|tptp.'longest_common_prefix$i'| (|tptp.'fun_app$r'| _let_1 A__questionmark_v1)) (|tptp.'fun_app$r'| (|tptp.'fun_app$s'| |tptp.'cons$e'| A__questionmark_v2) A__questionmark_v3)))) (let ((_let_3 (= A__questionmark_v0 A__questionmark_v2))) (and (=> _let_3 (= _let_2 (|tptp.'fun_app$r'| _let_1 (|tptp.'fun_app$r'| (|tptp.'longest_common_prefix$i'| A__questionmark_v1) A__questionmark_v3)))) (=> (not _let_3) (= _let_2 |tptp.'nil$'|))))))) (forall ((A__questionmark_v0 |tptp.'A_ltln_list_a_ltln_list_prod_a_ltln_list_a_ltln_list_prod_prod_list$'|) (A__questionmark_v1 |tptp.'A_ltln_list_a_ltln_list_prod_a_ltln_list_a_ltln_list_prod_prod_list$'|) (A__questionmark_v2 |tptp.'A_ltln_list_a_ltln_list_prod_a_ltln_list_a_ltln_list_prod_prod_list$'|)) (=> (and (= (|tptp.'fun_app$ad'| (|tptp.'splice$'| A__questionmark_v0) A__questionmark_v1) A__questionmark_v2) (forall ((A__questionmark_v3 |tptp.'A_ltln_list_a_ltln_list_prod_a_ltln_list_a_ltln_list_prod_prod_list$'|)) (=> (and (= A__questionmark_v0 |tptp.'nil$c'|) (= A__questionmark_v1 A__questionmark_v3) (= A__questionmark_v2 A__questionmark_v3)) false)) (forall ((A__questionmark_v3 |tptp.'A_ltln_list_a_ltln_list_prod_a_ltln_list_a_ltln_list_prod_prod$'|) (A__questionmark_v4 |tptp.'A_ltln_list_a_ltln_list_prod_a_ltln_list_a_ltln_list_prod_prod_list$'|) (A__questionmark_v5 |tptp.'A_ltln_list_a_ltln_list_prod_a_ltln_list_a_ltln_list_prod_prod_list$'|)) (=> (and (= A__questionmark_v0 (|tptp.'cons$g'| A__questionmark_v3 A__questionmark_v4)) (= A__questionmark_v1 A__questionmark_v5) (= A__questionmark_v2 (|tptp.'cons$g'| A__questionmark_v3 (|tptp.'fun_app$ad'| (|tptp.'splice$'| A__questionmark_v5) A__questionmark_v4)))) false))) false)) (forall ((A__questionmark_v0 |tptp.'A_ltln_list_a_ltln_list_prod_list_list$'|) (A__questionmark_v1 |tptp.'A_ltln_list_a_ltln_list_prod_list_list$'|) (A__questionmark_v2 |tptp.'A_ltln_list_a_ltln_list_prod_list_list$'|)) (=> (and (= (|tptp.'fun_app$ae'| (|tptp.'splice$a'| A__questionmark_v0) A__questionmark_v1) A__questionmark_v2) (forall ((A__questionmark_v3 |tptp.'A_ltln_list_a_ltln_list_prod_list_list$'|)) (=> (and (= A__questionmark_v0 |tptp.'nil$a'|) (= A__questionmark_v1 A__questionmark_v3) (= A__questionmark_v2 A__questionmark_v3)) false)) (forall ((A__questionmark_v3 |tptp.'A_ltln_list_a_ltln_list_prod_list$'|) (A__questionmark_v4 |tptp.'A_ltln_list_a_ltln_list_prod_list_list$'|) (A__questionmark_v5 |tptp.'A_ltln_list_a_ltln_list_prod_list_list$'|)) (=> (and (= A__questionmark_v0 (|tptp.'cons$d'| A__questionmark_v3 A__questionmark_v4)) (= A__questionmark_v1 A__questionmark_v5) (= A__questionmark_v2 (|tptp.'cons$d'| A__questionmark_v3 (|tptp.'fun_app$ae'| (|tptp.'splice$a'| A__questionmark_v5) A__questionmark_v4)))) false))) false)) (forall ((A__questionmark_v0 |tptp.'A_ltln_list_list$'|) (A__questionmark_v1 |tptp.'A_ltln_list_list$'|) (A__questionmark_v2 |tptp.'A_ltln_list_list$'|)) (=> (and (= (|tptp.'fun_app$af'| (|tptp.'splice$b'| A__questionmark_v0) A__questionmark_v1) A__questionmark_v2) (forall ((A__questionmark_v3 |tptp.'A_ltln_list_list$'|)) (=> (and (= A__questionmark_v0 |tptp.'nil$b'|) (= A__questionmark_v1 A__questionmark_v3) (= A__questionmark_v2 A__questionmark_v3)) false)) (forall ((A__questionmark_v3 |tptp.'A_ltln_list$'|) (A__questionmark_v4 |tptp.'A_ltln_list_list$'|) (A__questionmark_v5 |tptp.'A_ltln_list_list$'|)) (=> (and (= A__questionmark_v0 (|tptp.'cons$c'| A__questionmark_v3 A__questionmark_v4)) (= A__questionmark_v1 A__questionmark_v5) (= A__questionmark_v2 (|tptp.'cons$c'| A__questionmark_v3 (|tptp.'fun_app$af'| (|tptp.'splice$b'| A__questionmark_v5) A__questionmark_v4)))) false))) false)) (forall ((A__questionmark_v0 |tptp.'A_ltln_list$'|) (A__questionmark_v1 |tptp.'A_ltln_list$'|) (A__questionmark_v2 |tptp.'A_ltln_list$'|)) (=> (and (= (|tptp.'fun_app$t'| (|tptp.'splice$c'| A__questionmark_v0) A__questionmark_v1) A__questionmark_v2) (forall ((A__questionmark_v3 |tptp.'A_ltln_list$'|)) (=> (and (= A__questionmark_v0 |tptp.'nil$d'|) (= A__questionmark_v1 A__questionmark_v3) (= A__questionmark_v2 A__questionmark_v3)) false)) (forall ((A__questionmark_v3 |tptp.'A_ltln$'|) (A__questionmark_v4 |tptp.'A_ltln_list$'|) (A__questionmark_v5 |tptp.'A_ltln_list$'|)) (let ((_let_1 (|tptp.'cons$f'| A__questionmark_v3))) (=> (and (= A__questionmark_v0 (|tptp.'fun_app$t'| _let_1 A__questionmark_v4)) (= A__questionmark_v1 A__questionmark_v5) (= A__questionmark_v2 (|tptp.'fun_app$t'| _let_1 (|tptp.'fun_app$t'| (|tptp.'splice$c'| A__questionmark_v5) A__questionmark_v4)))) false)))) false)) (forall ((A__questionmark_v0 |tptp.'A_ltln_list_a_ltln_list_prod_list$'|) (A__questionmark_v1 |tptp.'A_ltln_list_a_ltln_list_prod_list$'|) (A__questionmark_v2 |tptp.'A_ltln_list_a_ltln_list_prod_list$'|)) (=> (and (= (|tptp.'fun_app$r'| (|tptp.'splice$d'| A__questionmark_v0) A__questionmark_v1) A__questionmark_v2) (forall ((A__questionmark_v3 |tptp.'A_ltln_list_a_ltln_list_prod_list$'|)) (=> (and (= A__questionmark_v0 |tptp.'nil$'|) (= A__questionmark_v1 A__questionmark_v3) (= A__questionmark_v2 A__questionmark_v3)) false)) (forall ((A__questionmark_v3 |tptp.'A_ltln_list_a_ltln_list_prod$'|) (A__questionmark_v4 |tptp.'A_ltln_list_a_ltln_list_prod_list$'|) (A__questionmark_v5 |tptp.'A_ltln_list_a_ltln_list_prod_list$'|)) (let ((_let_1 (|tptp.'fun_app$s'| |tptp.'cons$e'| A__questionmark_v3))) (=> (and (= A__questionmark_v0 (|tptp.'fun_app$r'| _let_1 A__questionmark_v4)) (= A__questionmark_v1 A__questionmark_v5) (= A__questionmark_v2 (|tptp.'fun_app$r'| _let_1 (|tptp.'fun_app$r'| (|tptp.'splice$d'| A__questionmark_v5) A__questionmark_v4)))) false)))) false)) (forall ((A__questionmark_v0 |tptp.'A_ltln_list_a_ltln_list_prod_list$'|) (A__questionmark_v1 |tptp.'A_ltln_list_a_ltln_list_prod_list_list$'|) (A__questionmark_v2 |tptp.'A_ltln_list_a_ltln_list_prod_list_a_ltln_list_a_ltln_list_prod_list_fun$'|)) (= (|tptp.'bind$j'| (|tptp.'cons$d'| A__questionmark_v0 A__questionmark_v1) A__questionmark_v2) (|tptp.'fun_app$r'| (|tptp.'fun_app$aw'| |tptp.'append$'| (|tptp.'fun_app$r'| A__questionmark_v2 A__questionmark_v0)) (|tptp.'bind$j'| A__questionmark_v1 A__questionmark_v2)))) (forall ((A__questionmark_v0 |tptp.'A_ltln_list_a_ltln_list_prod_list$'|) (A__questionmark_v1 |tptp.'A_ltln_list_a_ltln_list_prod_list_list$'|) (A__questionmark_v2 |tptp.'A_ltln_list_a_ltln_list_prod_list_a_ltln_list_a_ltln_list_prod_list_list_fun$'|)) (= (|tptp.'bind$k'| (|tptp.'cons$d'| A__questionmark_v0 A__questionmark_v1) A__questionmark_v2) (|tptp.'fun_app$ae'| (|tptp.'append$a'| (|tptp.'fun_app$f'| A__questionmark_v2 A__questionmark_v0)) (|tptp.'bind$k'| A__questionmark_v1 A__questionmark_v2)))) (forall ((A__questionmark_v0 |tptp.'A_ltln_list$'|) (A__questionmark_v1 |tptp.'A_ltln_list_list$'|) (A__questionmark_v2 |tptp.'A_ltln_list_a_ltln_list_a_ltln_list_prod_list_fun$'|)) (= (|tptp.'bind$h'| (|tptp.'cons$c'| A__questionmark_v0 A__questionmark_v1) A__questionmark_v2) (|tptp.'fun_app$r'| (|tptp.'fun_app$aw'| |tptp.'append$'| (|tptp.'fun_app$ax'| A__questionmark_v2 A__questionmark_v0)) (|tptp.'bind$h'| A__questionmark_v1 A__questionmark_v2)))) (forall ((A__questionmark_v0 |tptp.'A_ltln_list$'|) (A__questionmark_v1 |tptp.'A_ltln_list_list$'|) (A__questionmark_v2 |tptp.'A_ltln_list_a_ltln_list_a_ltln_list_prod_list_list_fun$'|)) (= (|tptp.'bind$l'| (|tptp.'cons$c'| A__questionmark_v0 A__questionmark_v1) A__questionmark_v2) (|tptp.'fun_app$ae'| (|tptp.'append$a'| (|tptp.'fun_app$ay'| A__questionmark_v2 A__questionmark_v0)) (|tptp.'bind$l'| A__questionmark_v1 A__questionmark_v2)))) (forall ((A__questionmark_v0 |tptp.'A_ltln_list_a_ltln_list_prod$'|) (A__questionmark_v1 |tptp.'A_ltln_list_a_ltln_list_prod_list$'|) (A__questionmark_v2 |tptp.'A_ltln_list_a_ltln_list_prod_a_ltln_list_a_ltln_list_prod_list_fun$'|)) (= (|tptp.'bind$'| (|tptp.'fun_app$r'| (|tptp.'fun_app$s'| |tptp.'cons$e'| A__questionmark_v0) A__questionmark_v1) A__questionmark_v2) (|tptp.'fun_app$r'| (|tptp.'fun_app$aw'| |tptp.'append$'| (|tptp.'fun_app$az'| A__questionmark_v2 A__questionmark_v0)) (|tptp.'bind$'| A__questionmark_v1 A__questionmark_v2)))) (forall ((A__questionmark_v0 |tptp.'A_ltln_list_a_ltln_list_prod$'|) (A__questionmark_v1 |tptp.'A_ltln_list_a_ltln_list_prod_list$'|) (A__questionmark_v2 |tptp.'A_ltln_list_a_ltln_list_prod_a_ltln_list_a_ltln_list_prod_list_list_fun$'|)) (= (|tptp.'bind$m'| (|tptp.'fun_app$r'| (|tptp.'fun_app$s'| |tptp.'cons$e'| A__questionmark_v0) A__questionmark_v1) A__questionmark_v2) (|tptp.'fun_app$ae'| (|tptp.'append$a'| (|tptp.'fun_app$ba'| A__questionmark_v2 A__questionmark_v0)) (|tptp.'bind$m'| A__questionmark_v1 A__questionmark_v2)))) (forall ((A__questionmark_v0 |tptp.'A_ltln$'|) (A__questionmark_v1 |tptp.'A_ltln_list$'|) (A__questionmark_v2 |tptp.'A_ltln_a_ltln_list_a_ltln_list_prod_list_fun$'|)) (= (|tptp.'bind$f'| (|tptp.'fun_app$t'| (|tptp.'cons$f'| A__questionmark_v0) A__questionmark_v1) A__questionmark_v2) (|tptp.'fun_app$r'| (|tptp.'fun_app$aw'| |tptp.'append$'| (|tptp.'fun_app$g'| A__questionmark_v2 A__questionmark_v0)) (|tptp.'bind$f'| A__questionmark_v1 A__questionmark_v2)))) (forall ((A__questionmark_v0 |tptp.'A_ltln$'|) (A__questionmark_v1 |tptp.'A_ltln_list$'|) (A__questionmark_v2 |tptp.'A_ltln_a_ltln_list_a_ltln_list_prod_list_list_fun$'|)) (= (|tptp.'bind$n'| (|tptp.'fun_app$t'| (|tptp.'cons$f'| A__questionmark_v0) A__questionmark_v1) A__questionmark_v2) (|tptp.'fun_app$ae'| (|tptp.'append$a'| (|tptp.'fun_app$bb'| A__questionmark_v2 A__questionmark_v0)) (|tptp.'bind$n'| A__questionmark_v1 A__questionmark_v2)))) (forall ((A__questionmark_v0 |tptp.'Nat$'|)) (= (|tptp.'of_nat$'| (|tptp.'fun_app$bc'| (|tptp.'gen_length$'| A__questionmark_v0) |tptp.'nil$b'|)) (|tptp.'of_nat$'| A__questionmark_v0))) (forall ((A__questionmark_v0 |tptp.'Nat$'|)) (= (|tptp.'of_nat$'| (|tptp.'fun_app$bd'| (|tptp.'gen_length$a'| A__questionmark_v0) |tptp.'nil$c'|)) (|tptp.'of_nat$'| A__questionmark_v0))) (forall ((A__questionmark_v0 |tptp.'Nat$'|)) (= (|tptp.'of_nat$'| (|tptp.'fun_app$be'| (|tptp.'gen_length$b'| A__questionmark_v0) |tptp.'nil$a'|)) (|tptp.'of_nat$'| A__questionmark_v0))) (forall ((A__questionmark_v0 |tptp.'Nat$'|)) (= (|tptp.'of_nat$'| (|tptp.'fun_app$bf'| (|tptp.'gen_length$c'| A__questionmark_v0) |tptp.'nil$d'|)) (|tptp.'of_nat$'| A__questionmark_v0))) (forall ((A__questionmark_v0 |tptp.'Nat$'|)) (= (|tptp.'of_nat$'| (|tptp.'fun_app$bg'| (|tptp.'gen_length$d'| A__questionmark_v0) |tptp.'nil$'|)) (|tptp.'of_nat$'| A__questionmark_v0))) (forall ((A__questionmark_v0 |tptp.'Nat$'|) (A__questionmark_v1 |tptp.'Nat_list$'|)) (=> (not (|tptp.'member$c'| A__questionmark_v0 (|tptp.'set$'| A__questionmark_v1))) (= (|tptp.'insert$e'| A__questionmark_v0 A__questionmark_v1) (|tptp.'cons$h'| A__questionmark_v0 A__questionmark_v1)))) (forall ((A__questionmark_v0 |tptp.'A_ltln_list_a_ltln_list_prod_list$'|) (A__questionmark_v1 |tptp.'A_ltln_list_a_ltln_list_prod_list_list$'|)) (=> (not (|tptp.'member$a'| A__questionmark_v0 (|tptp.'set$a'| A__questionmark_v1))) (= (|tptp.'fun_app$ae'| (|tptp.'insert$a'| A__questionmark_v0) A__questionmark_v1) (|tptp.'cons$d'| A__questionmark_v0 A__questionmark_v1)))) (forall ((A__questionmark_v0 |tptp.'A_ltln_list$'|) (A__questionmark_v1 |tptp.'A_ltln_list_list$'|)) (=> (not (|tptp.'member$b'| A__questionmark_v0 (|tptp.'set$b'| A__questionmark_v1))) (= (|tptp.'fun_app$af'| (|tptp.'insert$b'| A__questionmark_v0) A__questionmark_v1) (|tptp.'cons$c'| A__questionmark_v0 A__questionmark_v1)))) (forall ((A__questionmark_v0 |tptp.'A_ltln_list_a_ltln_list_prod$'|) (A__questionmark_v1 |tptp.'A_ltln_list_a_ltln_list_prod_list$'|)) (=> (not (|tptp.'member$'| A__questionmark_v0 (|tptp.'set$c'| A__questionmark_v1))) (= (|tptp.'fun_app$r'| (|tptp.'insert$d'| A__questionmark_v0) A__questionmark_v1) (|tptp.'fun_app$r'| (|tptp.'fun_app$s'| |tptp.'cons$e'| A__questionmark_v0) A__questionmark_v1)))) (forall ((A__questionmark_v0 |tptp.'A_ltln$'|) (A__questionmark_v1 |tptp.'A_ltln_list$'|)) (=> (not (|tptp.'member$l'| A__questionmark_v0 (|tptp.'set$d'| A__questionmark_v1))) (= (|tptp.'fun_app$t'| (|tptp.'insert$c'| A__questionmark_v0) A__questionmark_v1) (|tptp.'fun_app$t'| (|tptp.'cons$f'| A__questionmark_v0) A__questionmark_v1)))) (forall ((A__questionmark_v0 |tptp.'A_ltln_list_a_ltln_list_prod_list$'|) (A__questionmark_v1 |tptp.'A_ltln_list_a_ltln_list_prod_list$'|) (A__questionmark_v2 |tptp.'A_ltln_list_a_ltln_list_prod_list$'|)) (let ((_let_1 (|tptp.'fun_app$aw'| |tptp.'append$'| A__questionmark_v0))) (= (= (|tptp.'fun_app$r'| _let_1 A__questionmark_v1) (|tptp.'fun_app$r'| _let_1 A__questionmark_v2)) (= A__questionmark_v1 A__questionmark_v2)))) (forall ((A__questionmark_v0 |tptp.'A_ltln_list_a_ltln_list_prod_list_list$'|) (A__questionmark_v1 |tptp.'A_ltln_list_a_ltln_list_prod_list_list$'|) (A__questionmark_v2 |tptp.'A_ltln_list_a_ltln_list_prod_list_list$'|)) (let ((_let_1 (|tptp.'append$a'| A__questionmark_v0))) (= (= (|tptp.'fun_app$ae'| _let_1 A__questionmark_v1) (|tptp.'fun_app$ae'| _let_1 A__questionmark_v2)) (= A__questionmark_v1 A__questionmark_v2)))) (forall ((A__questionmark_v0 |tptp.'A_ltln_list_a_ltln_list_prod_list$'|) (A__questionmark_v1 |tptp.'A_ltln_list_a_ltln_list_prod_list$'|) (A__questionmark_v2 |tptp.'A_ltln_list_a_ltln_list_prod_list$'|)) (= (= (|tptp.'fun_app$r'| (|tptp.'fun_app$aw'| |tptp.'append$'| A__questionmark_v0) A__questionmark_v1) (|tptp.'fun_app$r'| (|tptp.'fun_app$aw'| |tptp.'append$'| A__questionmark_v2) A__questionmark_v1)) (= A__questionmark_v0 A__questionmark_v2))) (forall ((A__questionmark_v0 |tptp.'A_ltln_list_a_ltln_list_prod_list_list$'|) (A__questionmark_v1 |tptp.'A_ltln_list_a_ltln_list_prod_list_list$'|) (A__questionmark_v2 |tptp.'A_ltln_list_a_ltln_list_prod_list_list$'|)) (= (= (|tptp.'fun_app$ae'| (|tptp.'append$a'| A__questionmark_v0) A__questionmark_v1) (|tptp.'fun_app$ae'| (|tptp.'append$a'| A__questionmark_v2) A__questionmark_v1)) (= A__questionmark_v0 A__questionmark_v2))) (forall ((A__questionmark_v0 |tptp.'A_ltln_list_a_ltln_list_prod_list$'|) (A__questionmark_v1 |tptp.'A_ltln_list_a_ltln_list_prod_list$'|) (A__questionmark_v2 |tptp.'A_ltln_list_a_ltln_list_prod_list$'|)) (let ((_let_1 (|tptp.'fun_app$aw'| |tptp.'append$'| A__questionmark_v0))) (= (|tptp.'fun_app$r'| (|tptp.'fun_app$aw'| |tptp.'append$'| (|tptp.'fun_app$r'| _let_1 A__questionmark_v1)) A__questionmark_v2) (|tptp.'fun_app$r'| _let_1 (|tptp.'fun_app$r'| (|tptp.'fun_app$aw'| |tptp.'append$'| A__questionmark_v1) A__questionmark_v2))))) (forall ((A__questionmark_v0 |tptp.'A_ltln_list_a_ltln_list_prod_list_list$'|) (A__questionmark_v1 |tptp.'A_ltln_list_a_ltln_list_prod_list_list$'|) (A__questionmark_v2 |tptp.'A_ltln_list_a_ltln_list_prod_list_list$'|)) (let ((_let_1 (|tptp.'append$a'| A__questionmark_v0))) (= (|tptp.'fun_app$ae'| (|tptp.'append$a'| (|tptp.'fun_app$ae'| _let_1 A__questionmark_v1)) A__questionmark_v2) (|tptp.'fun_app$ae'| _let_1 (|tptp.'fun_app$ae'| (|tptp.'append$a'| A__questionmark_v1) A__questionmark_v2))))) (forall ((A__questionmark_v0 |tptp.'A_ltln_list_a_ltln_list_prod_list$'|) (A__questionmark_v1 |tptp.'A_ltln_list_a_ltln_list_prod_list$'|) (A__questionmark_v2 |tptp.'A_ltln_list_a_ltln_list_prod_list$'|)) (let ((_let_1 (|tptp.'fun_app$aw'| |tptp.'append$'| A__questionmark_v0))) (= (|tptp.'fun_app$r'| (|tptp.'fun_app$aw'| |tptp.'append$'| (|tptp.'fun_app$r'| _let_1 A__questionmark_v1)) A__questionmark_v2) (|tptp.'fun_app$r'| _let_1 (|tptp.'fun_app$r'| (|tptp.'fun_app$aw'| |tptp.'append$'| A__questionmark_v1) A__questionmark_v2))))) (forall ((A__questionmark_v0 |tptp.'A_ltln_list_a_ltln_list_prod_list_list$'|) (A__questionmark_v1 |tptp.'A_ltln_list_a_ltln_list_prod_list_list$'|) (A__questionmark_v2 |tptp.'A_ltln_list_a_ltln_list_prod_list_list$'|)) (let ((_let_1 (|tptp.'append$a'| A__questionmark_v0))) (= (|tptp.'fun_app$ae'| (|tptp.'append$a'| (|tptp.'fun_app$ae'| _let_1 A__questionmark_v1)) A__questionmark_v2) (|tptp.'fun_app$ae'| _let_1 (|tptp.'fun_app$ae'| (|tptp.'append$a'| A__questionmark_v1) A__questionmark_v2))))) (forall ((A__questionmark_v0 |tptp.'A_ltln_list_list$'|) (A__questionmark_v1 |tptp.'A_ltln_list_list$'|)) (= (= (|tptp.'fun_app$af'| (|tptp.'append$b'| A__questionmark_v0) A__questionmark_v1) |tptp.'nil$b'|) (and (= A__questionmark_v0 |tptp.'nil$b'|) (= A__questionmark_v1 |tptp.'nil$b'|)))) (forall ((A__questionmark_v0 |tptp.'A_ltln_list_a_ltln_list_prod_a_ltln_list_a_ltln_list_prod_prod_list$'|) (A__questionmark_v1 |tptp.'A_ltln_list_a_ltln_list_prod_a_ltln_list_a_ltln_list_prod_prod_list$'|)) (= (= (|tptp.'fun_app$ad'| (|tptp.'append$c'| A__questionmark_v0) A__questionmark_v1) |tptp.'nil$c'|) (and (= A__questionmark_v0 |tptp.'nil$c'|) (= A__questionmark_v1 |tptp.'nil$c'|)))) (forall ((A__questionmark_v0 |tptp.'A_ltln_list_a_ltln_list_prod_list_list$'|) (A__questionmark_v1 |tptp.'A_ltln_list_a_ltln_list_prod_list_list$'|)) (= (= (|tptp.'fun_app$ae'| (|tptp.'append$a'| A__questionmark_v0) A__questionmark_v1) |tptp.'nil$a'|) (and (= A__questionmark_v0 |tptp.'nil$a'|) (= A__questionmark_v1 |tptp.'nil$a'|)))) (forall ((A__questionmark_v0 |tptp.'A_ltln_list$'|) (A__questionmark_v1 |tptp.'A_ltln_list$'|)) (= (= (|tptp.'fun_app$t'| (|tptp.'append$d'| A__questionmark_v0) A__questionmark_v1) |tptp.'nil$d'|) (and (= A__questionmark_v0 |tptp.'nil$d'|) (= A__questionmark_v1 |tptp.'nil$d'|)))) (forall ((A__questionmark_v0 |tptp.'A_ltln_list_a_ltln_list_prod_list$'|) (A__questionmark_v1 |tptp.'A_ltln_list_a_ltln_list_prod_list$'|)) (= (= (|tptp.'fun_app$r'| (|tptp.'fun_app$aw'| |tptp.'append$'| A__questionmark_v0) A__questionmark_v1) |tptp.'nil$'|) (and (= A__questionmark_v0 |tptp.'nil$'|) (= A__questionmark_v1 |tptp.'nil$'|)))) (forall ((A__questionmark_v0 |tptp.'A_ltln_list_list$'|) (A__questionmark_v1 |tptp.'A_ltln_list_list$'|)) (= (= |tptp.'nil$b'| (|tptp.'fun_app$af'| (|tptp.'append$b'| A__questionmark_v0) A__questionmark_v1)) (and (= A__questionmark_v0 |tptp.'nil$b'|) (= A__questionmark_v1 |tptp.'nil$b'|)))) (forall ((A__questionmark_v0 |tptp.'A_ltln_list_a_ltln_list_prod_a_ltln_list_a_ltln_list_prod_prod_list$'|) (A__questionmark_v1 |tptp.'A_ltln_list_a_ltln_list_prod_a_ltln_list_a_ltln_list_prod_prod_list$'|)) (= (= |tptp.'nil$c'| (|tptp.'fun_app$ad'| (|tptp.'append$c'| A__questionmark_v0) A__questionmark_v1)) (and (= A__questionmark_v0 |tptp.'nil$c'|) (= A__questionmark_v1 |tptp.'nil$c'|)))) (forall ((A__questionmark_v0 |tptp.'A_ltln_list_a_ltln_list_prod_list_list$'|) (A__questionmark_v1 |tptp.'A_ltln_list_a_ltln_list_prod_list_list$'|)) (= (= |tptp.'nil$a'| (|tptp.'fun_app$ae'| (|tptp.'append$a'| A__questionmark_v0) A__questionmark_v1)) (and (= A__questionmark_v0 |tptp.'nil$a'|) (= A__questionmark_v1 |tptp.'nil$a'|)))) (forall ((A__questionmark_v0 |tptp.'A_ltln_list$'|) (A__questionmark_v1 |tptp.'A_ltln_list$'|)) (= (= |tptp.'nil$d'| (|tptp.'fun_app$t'| (|tptp.'append$d'| A__questionmark_v0) A__questionmark_v1)) (and (= A__questionmark_v0 |tptp.'nil$d'|) (= A__questionmark_v1 |tptp.'nil$d'|)))) (forall ((A__questionmark_v0 |tptp.'A_ltln_list_a_ltln_list_prod_list$'|) (A__questionmark_v1 |tptp.'A_ltln_list_a_ltln_list_prod_list$'|)) (= (= |tptp.'nil$'| (|tptp.'fun_app$r'| (|tptp.'fun_app$aw'| |tptp.'append$'| A__questionmark_v0) A__questionmark_v1)) (and (= A__questionmark_v0 |tptp.'nil$'|) (= A__questionmark_v1 |tptp.'nil$'|)))) (forall ((A__questionmark_v0 |tptp.'A_ltln_list_list$'|) (A__questionmark_v1 |tptp.'A_ltln_list_list$'|)) (= (= A__questionmark_v0 (|tptp.'fun_app$af'| (|tptp.'append$b'| A__questionmark_v1) A__questionmark_v0)) (= A__questionmark_v1 |tptp.'nil$b'|))) (forall ((A__questionmark_v0 |tptp.'A_ltln_list_a_ltln_list_prod_a_ltln_list_a_ltln_list_prod_prod_list$'|) (A__questionmark_v1 |tptp.'A_ltln_list_a_ltln_list_prod_a_ltln_list_a_ltln_list_prod_prod_list$'|)) (= (= A__questionmark_v0 (|tptp.'fun_app$ad'| (|tptp.'append$c'| A__questionmark_v1) A__questionmark_v0)) (= A__questionmark_v1 |tptp.'nil$c'|))) (forall ((A__questionmark_v0 |tptp.'A_ltln_list_a_ltln_list_prod_list_list$'|) (A__questionmark_v1 |tptp.'A_ltln_list_a_ltln_list_prod_list_list$'|)) (= (= A__questionmark_v0 (|tptp.'fun_app$ae'| (|tptp.'append$a'| A__questionmark_v1) A__questionmark_v0)) (= A__questionmark_v1 |tptp.'nil$a'|))) (forall ((A__questionmark_v0 |tptp.'A_ltln_list$'|) (A__questionmark_v1 |tptp.'A_ltln_list$'|)) (= (= A__questionmark_v0 (|tptp.'fun_app$t'| (|tptp.'append$d'| A__questionmark_v1) A__questionmark_v0)) (= A__questionmark_v1 |tptp.'nil$d'|))) (forall ((A__questionmark_v0 |tptp.'A_ltln_list_a_ltln_list_prod_list$'|) (A__questionmark_v1 |tptp.'A_ltln_list_a_ltln_list_prod_list$'|)) (= (= A__questionmark_v0 (|tptp.'fun_app$r'| (|tptp.'fun_app$aw'| |tptp.'append$'| A__questionmark_v1) A__questionmark_v0)) (= A__questionmark_v1 |tptp.'nil$'|))) (forall ((A__questionmark_v0 |tptp.'A_ltln_list_list$'|) (A__questionmark_v1 |tptp.'A_ltln_list_list$'|)) (= (= (|tptp.'fun_app$af'| (|tptp.'append$b'| A__questionmark_v0) A__questionmark_v1) A__questionmark_v1) (= A__questionmark_v0 |tptp.'nil$b'|))) (forall ((A__questionmark_v0 |tptp.'A_ltln_list_a_ltln_list_prod_a_ltln_list_a_ltln_list_prod_prod_list$'|) (A__questionmark_v1 |tptp.'A_ltln_list_a_ltln_list_prod_a_ltln_list_a_ltln_list_prod_prod_list$'|)) (= (= (|tptp.'fun_app$ad'| (|tptp.'append$c'| A__questionmark_v0) A__questionmark_v1) A__questionmark_v1) (= A__questionmark_v0 |tptp.'nil$c'|))) (forall ((A__questionmark_v0 |tptp.'A_ltln_list_a_ltln_list_prod_list_list$'|) (A__questionmark_v1 |tptp.'A_ltln_list_a_ltln_list_prod_list_list$'|)) (= (= (|tptp.'fun_app$ae'| (|tptp.'append$a'| A__questionmark_v0) A__questionmark_v1) A__questionmark_v1) (= A__questionmark_v0 |tptp.'nil$a'|))) (forall ((A__questionmark_v0 |tptp.'A_ltln_list$'|) (A__questionmark_v1 |tptp.'A_ltln_list$'|)) (= (= (|tptp.'fun_app$t'| (|tptp.'append$d'| A__questionmark_v0) A__questionmark_v1) A__questionmark_v1) (= A__questionmark_v0 |tptp.'nil$d'|))) (forall ((A__questionmark_v0 |tptp.'A_ltln_list_a_ltln_list_prod_list$'|) (A__questionmark_v1 |tptp.'A_ltln_list_a_ltln_list_prod_list$'|)) (= (= (|tptp.'fun_app$r'| (|tptp.'fun_app$aw'| |tptp.'append$'| A__questionmark_v0) A__questionmark_v1) A__questionmark_v1) (= A__questionmark_v0 |tptp.'nil$'|))) (forall ((A__questionmark_v0 |tptp.'A_ltln_list_list$'|) (A__questionmark_v1 |tptp.'A_ltln_list_list$'|)) (= (= A__questionmark_v0 (|tptp.'fun_app$af'| (|tptp.'append$b'| A__questionmark_v0) A__questionmark_v1)) (= A__questionmark_v1 |tptp.'nil$b'|))) (forall ((A__questionmark_v0 |tptp.'A_ltln_list_a_ltln_list_prod_a_ltln_list_a_ltln_list_prod_prod_list$'|) (A__questionmark_v1 |tptp.'A_ltln_list_a_ltln_list_prod_a_ltln_list_a_ltln_list_prod_prod_list$'|)) (= (= A__questionmark_v0 (|tptp.'fun_app$ad'| (|tptp.'append$c'| A__questionmark_v0) A__questionmark_v1)) (= A__questionmark_v1 |tptp.'nil$c'|))) (forall ((A__questionmark_v0 |tptp.'A_ltln_list_a_ltln_list_prod_list_list$'|) (A__questionmark_v1 |tptp.'A_ltln_list_a_ltln_list_prod_list_list$'|)) (= (= A__questionmark_v0 (|tptp.'fun_app$ae'| (|tptp.'append$a'| A__questionmark_v0) A__questionmark_v1)) (= A__questionmark_v1 |tptp.'nil$a'|))) (forall ((A__questionmark_v0 |tptp.'A_ltln_list$'|) (A__questionmark_v1 |tptp.'A_ltln_list$'|)) (= (= A__questionmark_v0 (|tptp.'fun_app$t'| (|tptp.'append$d'| A__questionmark_v0) A__questionmark_v1)) (= A__questionmark_v1 |tptp.'nil$d'|))) (forall ((A__questionmark_v0 |tptp.'A_ltln_list_a_ltln_list_prod_list$'|) (A__questionmark_v1 |tptp.'A_ltln_list_a_ltln_list_prod_list$'|)) (= (= A__questionmark_v0 (|tptp.'fun_app$r'| (|tptp.'fun_app$aw'| |tptp.'append$'| A__questionmark_v0) A__questionmark_v1)) (= A__questionmark_v1 |tptp.'nil$'|))) (forall ((A__questionmark_v0 |tptp.'A_ltln_list_list$'|) (A__questionmark_v1 |tptp.'A_ltln_list_list$'|)) (= (= (|tptp.'fun_app$af'| (|tptp.'append$b'| A__questionmark_v0) A__questionmark_v1) A__questionmark_v0) (= A__questionmark_v1 |tptp.'nil$b'|))) (forall ((A__questionmark_v0 |tptp.'A_ltln_list_a_ltln_list_prod_a_ltln_list_a_ltln_list_prod_prod_list$'|) (A__questionmark_v1 |tptp.'A_ltln_list_a_ltln_list_prod_a_ltln_list_a_ltln_list_prod_prod_list$'|)) (= (= (|tptp.'fun_app$ad'| (|tptp.'append$c'| A__questionmark_v0) A__questionmark_v1) A__questionmark_v0) (= A__questionmark_v1 |tptp.'nil$c'|))) (forall ((A__questionmark_v0 |tptp.'A_ltln_list_a_ltln_list_prod_list_list$'|) (A__questionmark_v1 |tptp.'A_ltln_list_a_ltln_list_prod_list_list$'|)) (= (= (|tptp.'fun_app$ae'| (|tptp.'append$a'| A__questionmark_v0) A__questionmark_v1) A__questionmark_v0) (= A__questionmark_v1 |tptp.'nil$a'|))) (forall ((A__questionmark_v0 |tptp.'A_ltln_list$'|) (A__questionmark_v1 |tptp.'A_ltln_list$'|)) (= (= (|tptp.'fun_app$t'| (|tptp.'append$d'| A__questionmark_v0) A__questionmark_v1) A__questionmark_v0) (= A__questionmark_v1 |tptp.'nil$d'|))) (forall ((A__questionmark_v0 |tptp.'A_ltln_list_a_ltln_list_prod_list$'|) (A__questionmark_v1 |tptp.'A_ltln_list_a_ltln_list_prod_list$'|)) (= (= (|tptp.'fun_app$r'| (|tptp.'fun_app$aw'| |tptp.'append$'| A__questionmark_v0) A__questionmark_v1) A__questionmark_v0) (= A__questionmark_v1 |tptp.'nil$'|))) (forall ((A__questionmark_v0 |tptp.'A_ltln_list_list$'|)) (= (|tptp.'fun_app$af'| (|tptp.'append$b'| A__questionmark_v0) |tptp.'nil$b'|) A__questionmark_v0)) (forall ((A__questionmark_v0 |tptp.'A_ltln_list_a_ltln_list_prod_a_ltln_list_a_ltln_list_prod_prod_list$'|)) (= (|tptp.'fun_app$ad'| (|tptp.'append$c'| A__questionmark_v0) |tptp.'nil$c'|) A__questionmark_v0)) (forall ((A__questionmark_v0 |tptp.'A_ltln_list_a_ltln_list_prod_list_list$'|)) (= (|tptp.'fun_app$ae'| (|tptp.'append$a'| A__questionmark_v0) |tptp.'nil$a'|) A__questionmark_v0)) (forall ((A__questionmark_v0 |tptp.'A_ltln_list$'|)) (= (|tptp.'fun_app$t'| (|tptp.'append$d'| A__questionmark_v0) |tptp.'nil$d'|) A__questionmark_v0)) (forall ((A__questionmark_v0 |tptp.'A_ltln_list_a_ltln_list_prod_list$'|)) (= (|tptp.'fun_app$r'| (|tptp.'fun_app$aw'| |tptp.'append$'| A__questionmark_v0) |tptp.'nil$'|) A__questionmark_v0)) (forall ((A__questionmark_v0 |tptp.'A_ltln_list_list$'|)) (= (|tptp.'fun_app$af'| (|tptp.'append$b'| A__questionmark_v0) |tptp.'nil$b'|) A__questionmark_v0)) (forall ((A__questionmark_v0 |tptp.'A_ltln_list_a_ltln_list_prod_a_ltln_list_a_ltln_list_prod_prod_list$'|)) (= (|tptp.'fun_app$ad'| (|tptp.'append$c'| A__questionmark_v0) |tptp.'nil$c'|) A__questionmark_v0)) (forall ((A__questionmark_v0 |tptp.'A_ltln_list_a_ltln_list_prod_list_list$'|)) (= (|tptp.'fun_app$ae'| (|tptp.'append$a'| A__questionmark_v0) |tptp.'nil$a'|) A__questionmark_v0)) (forall ((A__questionmark_v0 |tptp.'A_ltln_list$'|)) (= (|tptp.'fun_app$t'| (|tptp.'append$d'| A__questionmark_v0) |tptp.'nil$d'|) A__questionmark_v0)) (forall ((A__questionmark_v0 |tptp.'A_ltln_list_a_ltln_list_prod_list$'|)) (= (|tptp.'fun_app$r'| (|tptp.'fun_app$aw'| |tptp.'append$'| A__questionmark_v0) |tptp.'nil$'|) A__questionmark_v0)) (forall ((A__questionmark_v0 |tptp.'Nat$'|) (A__questionmark_v1 |tptp.'Nat_list$'|)) (=> (|tptp.'member$c'| A__questionmark_v0 (|tptp.'set$'| A__questionmark_v1)) (= (|tptp.'insert$e'| A__questionmark_v0 A__questionmark_v1) A__questionmark_v1))) (forall ((A__questionmark_v0 |tptp.'A_ltln_list$'|) (A__questionmark_v1 |tptp.'A_ltln_list_list$'|)) (=> (|tptp.'member$b'| A__questionmark_v0 (|tptp.'set$b'| A__questionmark_v1)) (= (|tptp.'fun_app$af'| (|tptp.'insert$b'| A__questionmark_v0) A__questionmark_v1) A__questionmark_v1))) (forall ((A__questionmark_v0 |tptp.'A_ltln_list_a_ltln_list_prod$'|) (A__questionmark_v1 |tptp.'A_ltln_list_a_ltln_list_prod_list$'|)) (=> (|tptp.'member$'| A__questionmark_v0 (|tptp.'set$c'| A__questionmark_v1)) (= (|tptp.'fun_app$r'| (|tptp.'insert$d'| A__questionmark_v0) A__questionmark_v1) A__questionmark_v1))) (forall ((A__questionmark_v0 |tptp.'A_ltln_list_a_ltln_list_prod_list$'|) (A__questionmark_v1 |tptp.'A_ltln_list_a_ltln_list_prod_list_list$'|)) (=> (|tptp.'member$a'| A__questionmark_v0 (|tptp.'set$a'| A__questionmark_v1)) (= (|tptp.'fun_app$ae'| (|tptp.'insert$a'| A__questionmark_v0) A__questionmark_v1) A__questionmark_v1))) (forall ((A__questionmark_v0 |tptp.'A_ltln_list_list$'|) (A__questionmark_v1 |tptp.'A_ltln_list_list$'|)) (= (= (|tptp.'fun_app$af'| (|tptp.'splice$b'| A__questionmark_v0) A__questionmark_v1) |tptp.'nil$b'|) (and (= A__questionmark_v0 |tptp.'nil$b'|) (= A__questionmark_v1 |tptp.'nil$b'|)))) (forall ((A__questionmark_v0 |tptp.'A_ltln_list_a_ltln_list_prod_a_ltln_list_a_ltln_list_prod_prod_list$'|) (A__questionmark_v1 |tptp.'A_ltln_list_a_ltln_list_prod_a_ltln_list_a_ltln_list_prod_prod_list$'|)) (= (= (|tptp.'fun_app$ad'| (|tptp.'splice$'| A__questionmark_v0) A__questionmark_v1) |tptp.'nil$c'|) (and (= A__questionmark_v0 |tptp.'nil$c'|) (= A__questionmark_v1 |tptp.'nil$c'|)))) (forall ((A__questionmark_v0 |tptp.'A_ltln_list_a_ltln_list_prod_list_list$'|) (A__questionmark_v1 |tptp.'A_ltln_list_a_ltln_list_prod_list_list$'|)) (= (= (|tptp.'fun_app$ae'| (|tptp.'splice$a'| A__questionmark_v0) A__questionmark_v1) |tptp.'nil$a'|) (and (= A__questionmark_v0 |tptp.'nil$a'|) (= A__questionmark_v1 |tptp.'nil$a'|)))) (forall ((A__questionmark_v0 |tptp.'A_ltln_list$'|) (A__questionmark_v1 |tptp.'A_ltln_list$'|)) (= (= (|tptp.'fun_app$t'| (|tptp.'splice$c'| A__questionmark_v0) A__questionmark_v1) |tptp.'nil$d'|) (and (= A__questionmark_v0 |tptp.'nil$d'|) (= A__questionmark_v1 |tptp.'nil$d'|)))) (forall ((A__questionmark_v0 |tptp.'A_ltln_list_a_ltln_list_prod_list$'|) (A__questionmark_v1 |tptp.'A_ltln_list_a_ltln_list_prod_list$'|)) (= (= (|tptp.'fun_app$r'| (|tptp.'splice$d'| A__questionmark_v0) A__questionmark_v1) |tptp.'nil$'|) (and (= A__questionmark_v0 |tptp.'nil$'|) (= A__questionmark_v1 |tptp.'nil$'|)))) (forall ((A__questionmark_v0 |tptp.'A_ltln_list_list$'|)) (= (|tptp.'fun_app$af'| (|tptp.'splice$b'| A__questionmark_v0) |tptp.'nil$b'|) A__questionmark_v0)) (forall ((A__questionmark_v0 |tptp.'A_ltln_list_a_ltln_list_prod_a_ltln_list_a_ltln_list_prod_prod_list$'|)) (= (|tptp.'fun_app$ad'| (|tptp.'splice$'| A__questionmark_v0) |tptp.'nil$c'|) A__questionmark_v0)) (forall ((A__questionmark_v0 |tptp.'A_ltln_list_a_ltln_list_prod_list_list$'|)) (= (|tptp.'fun_app$ae'| (|tptp.'splice$a'| A__questionmark_v0) |tptp.'nil$a'|) A__questionmark_v0)) (forall ((A__questionmark_v0 |tptp.'A_ltln_list$'|)) (= (|tptp.'fun_app$t'| (|tptp.'splice$c'| A__questionmark_v0) |tptp.'nil$d'|) A__questionmark_v0)) (forall ((A__questionmark_v0 |tptp.'A_ltln_list_a_ltln_list_prod_list$'|)) (= (|tptp.'fun_app$r'| (|tptp.'splice$d'| A__questionmark_v0) |tptp.'nil$'|) A__questionmark_v0)) (forall ((A__questionmark_v0 |tptp.'A_ltln_list_a_ltln_list_prod_a_ltln_list_a_ltln_list_prod_prod_list$'|) (A__questionmark_v1 |tptp.'A_ltln_list_a_ltln_list_prod_a_ltln_list_a_ltln_list_prod_prod$'|) (A__questionmark_v2 |tptp.'A_ltln_list_a_ltln_list_prod_a_ltln_list_a_ltln_list_prod_prod_list$'|) (A__questionmark_v3 |tptp.'A_ltln_list_a_ltln_list_prod_a_ltln_list_a_ltln_list_prod_prod$'|)) (= (= (|tptp.'fun_app$ad'| (|tptp.'append$c'| A__questionmark_v0) (|tptp.'cons$g'| A__questionmark_v1 |tptp.'nil$c'|)) (|tptp.'fun_app$ad'| (|tptp.'append$c'| A__questionmark_v2) (|tptp.'cons$g'| A__questionmark_v3 |tptp.'nil$c'|))) (and (= A__questionmark_v0 A__questionmark_v2) (= A__questionmark_v1 A__questionmark_v3)))) (forall ((A__questionmark_v0 |tptp.'A_ltln_list_a_ltln_list_prod_list_list$'|) (A__questionmark_v1 |tptp.'A_ltln_list_a_ltln_list_prod_list$'|) (A__questionmark_v2 |tptp.'A_ltln_list_a_ltln_list_prod_list_list$'|) (A__questionmark_v3 |tptp.'A_ltln_list_a_ltln_list_prod_list$'|)) (= (= (|tptp.'fun_app$ae'| (|tptp.'append$a'| A__questionmark_v0) (|tptp.'cons$d'| A__questionmark_v1 |tptp.'nil$a'|)) (|tptp.'fun_app$ae'| (|tptp.'append$a'| A__questionmark_v2) (|tptp.'cons$d'| A__questionmark_v3 |tptp.'nil$a'|))) (and (= A__questionmark_v0 A__questionmark_v2) (= A__questionmark_v1 A__questionmark_v3)))) (forall ((A__questionmark_v0 |tptp.'A_ltln_list_list$'|) (A__questionmark_v1 |tptp.'A_ltln_list$'|) (A__questionmark_v2 |tptp.'A_ltln_list_list$'|) (A__questionmark_v3 |tptp.'A_ltln_list$'|)) (= (= (|tptp.'fun_app$af'| (|tptp.'append$b'| A__questionmark_v0) (|tptp.'cons$c'| A__questionmark_v1 |tptp.'nil$b'|)) (|tptp.'fun_app$af'| (|tptp.'append$b'| A__questionmark_v2) (|tptp.'cons$c'| A__questionmark_v3 |tptp.'nil$b'|))) (and (= A__questionmark_v0 A__questionmark_v2) (= A__questionmark_v1 A__questionmark_v3)))) (forall ((A__questionmark_v0 |tptp.'A_ltln_list$'|) (A__questionmark_v1 |tptp.'A_ltln$'|) (A__questionmark_v2 |tptp.'A_ltln_list$'|) (A__questionmark_v3 |tptp.'A_ltln$'|)) (= (= (|tptp.'fun_app$t'| (|tptp.'append$d'| A__questionmark_v0) (|tptp.'fun_app$t'| (|tptp.'cons$f'| A__questionmark_v1) |tptp.'nil$d'|)) (|tptp.'fun_app$t'| (|tptp.'append$d'| A__questionmark_v2) (|tptp.'fun_app$t'| (|tptp.'cons$f'| A__questionmark_v3) |tptp.'nil$d'|))) (and (= A__questionmark_v0 A__questionmark_v2) (= A__questionmark_v1 A__questionmark_v3)))) (forall ((A__questionmark_v0 |tptp.'A_ltln_list_a_ltln_list_prod_list$'|) (A__questionmark_v1 |tptp.'A_ltln_list_a_ltln_list_prod$'|) (A__questionmark_v2 |tptp.'A_ltln_list_a_ltln_list_prod_list$'|) (A__questionmark_v3 |tptp.'A_ltln_list_a_ltln_list_prod$'|)) (= (= (|tptp.'fun_app$r'| (|tptp.'fun_app$aw'| |tptp.'append$'| A__questionmark_v0) (|tptp.'fun_app$r'| (|tptp.'fun_app$s'| |tptp.'cons$e'| A__questionmark_v1) |tptp.'nil$'|)) (|tptp.'fun_app$r'| (|tptp.'fun_app$aw'| |tptp.'append$'| A__questionmark_v2) (|tptp.'fun_app$r'| (|tptp.'fun_app$s'| |tptp.'cons$e'| A__questionmark_v3) |tptp.'nil$'|))) (and (= A__questionmark_v0 A__questionmark_v2) (= A__questionmark_v1 A__questionmark_v3)))) (forall ((A__questionmark_v0 |tptp.'A_ltln_list_a_ltln_list_prod_a_ltln_list_a_ltln_list_prod_prod_list$'|) (A__questionmark_v1 |tptp.'A_ltln_list_a_ltln_list_prod_a_ltln_list_a_ltln_list_prod_prod$'|)) (let ((_let_1 (|tptp.'fun_app$ad'| (|tptp.'append$c'| A__questionmark_v0) (|tptp.'cons$g'| A__questionmark_v1 |tptp.'nil$c'|)))) (= (|tptp.'prefixes$a'| _let_1) (|tptp.'append$e'| (|tptp.'prefixes$a'| A__questionmark_v0) (|tptp.'cons$a'| _let_1 |tptp.'nil$n'|))))) (forall ((A__questionmark_v0 |tptp.'A_ltln_list_a_ltln_list_prod_list_list$'|) (A__questionmark_v1 |tptp.'A_ltln_list_a_ltln_list_prod_list$'|)) (let ((_let_1 (|tptp.'fun_app$ae'| (|tptp.'append$a'| A__questionmark_v0) (|tptp.'cons$d'| A__questionmark_v1 |tptp.'nil$a'|)))) (= (|tptp.'prefixes$b'| _let_1) (|tptp.'append$f'| (|tptp.'prefixes$b'| A__questionmark_v0) (|tptp.'cons$b'| _let_1 |tptp.'nil$o'|))))) (forall ((A__questionmark_v0 |tptp.'A_ltln_list_list$'|) (A__questionmark_v1 |tptp.'A_ltln_list$'|)) (let ((_let_1 (|tptp.'fun_app$af'| (|tptp.'append$b'| A__questionmark_v0) (|tptp.'cons$c'| A__questionmark_v1 |tptp.'nil$b'|)))) (= (|tptp.'prefixes$'| _let_1) (|tptp.'append$g'| (|tptp.'prefixes$'| A__questionmark_v0) (|tptp.'cons$'| _let_1 |tptp.'nil$m'|))))) (forall ((A__questionmark_v0 |tptp.'A_ltln_list$'|) (A__questionmark_v1 |tptp.'A_ltln$'|)) (let ((_let_1 (|tptp.'fun_app$t'| (|tptp.'append$d'| A__questionmark_v0) (|tptp.'fun_app$t'| (|tptp.'cons$f'| A__questionmark_v1) |tptp.'nil$d'|)))) (= (|tptp.'fun_app$d'| |tptp.'prefixes$c'| _let_1) (|tptp.'fun_app$af'| (|tptp.'append$b'| (|tptp.'fun_app$d'| |tptp.'prefixes$c'| A__questionmark_v0)) (|tptp.'cons$c'| _let_1 |tptp.'nil$b'|))))) (forall ((A__questionmark_v0 |tptp.'A_ltln_list_a_ltln_list_prod_list$'|) (A__questionmark_v1 |tptp.'A_ltln_list_a_ltln_list_prod$'|)) (let ((_let_1 (|tptp.'fun_app$r'| (|tptp.'fun_app$aw'| |tptp.'append$'| A__questionmark_v0) (|tptp.'fun_app$r'| (|tptp.'fun_app$s'| |tptp.'cons$e'| A__questionmark_v1) |tptp.'nil$'|)))) (= (|tptp.'fun_app$f'| |tptp.'prefixes$d'| _let_1) (|tptp.'fun_app$ae'| (|tptp.'append$a'| (|tptp.'fun_app$f'| |tptp.'prefixes$d'| A__questionmark_v0)) (|tptp.'cons$d'| _let_1 |tptp.'nil$a'|))))) (forall ((A__questionmark_v0 |tptp.'Nat_list$'|) (A__questionmark_v1 |tptp.'Nat_bool_fun$'|)) (= (exists ((A__questionmark_v2 |tptp.'Nat$'|)) (and (|tptp.'member$c'| A__questionmark_v2 (|tptp.'set$'| A__questionmark_v0)) (|tptp.'fun_app$c'| A__questionmark_v1 A__questionmark_v2))) (exists ((A__questionmark_v2 |tptp.'Nat_list$'|) (A__questionmark_v3 |tptp.'Nat$'|) (A__questionmark_v4 |tptp.'Nat_list$'|)) (and (= A__questionmark_v0 (|tptp.'append$h'| A__questionmark_v2 (|tptp.'cons$h'| A__questionmark_v3 A__questionmark_v4))) (|tptp.'fun_app$c'| A__questionmark_v1 A__questionmark_v3) (forall ((A__questionmark_v5 |tptp.'Nat$'|)) (=> (|tptp.'member$c'| A__questionmark_v5 (|tptp.'set$'| A__questionmark_v2)) (not (|tptp.'fun_app$c'| A__questionmark_v1 A__questionmark_v5)))))))) (forall ((A__questionmark_v0 |tptp.'A_ltln_list_a_ltln_list_prod_list_list$'|) (A__questionmark_v1 |tptp.'A_ltln_list_a_ltln_list_prod_list_bool_fun$'|)) (= (exists ((A__questionmark_v2 |tptp.'A_ltln_list_a_ltln_list_prod_list$'|)) (and (|tptp.'member$a'| A__questionmark_v2 (|tptp.'set$a'| A__questionmark_v0)) (|tptp.'fun_app$a'| A__questionmark_v1 A__questionmark_v2))) (exists ((A__questionmark_v2 |tptp.'A_ltln_list_a_ltln_list_prod_list_list$'|) (A__questionmark_v3 |tptp.'A_ltln_list_a_ltln_list_prod_list$'|) (A__questionmark_v4 |tptp.'A_ltln_list_a_ltln_list_prod_list_list$'|)) (and (= A__questionmark_v0 (|tptp.'fun_app$ae'| (|tptp.'append$a'| A__questionmark_v2) (|tptp.'cons$d'| A__questionmark_v3 A__questionmark_v4))) (|tptp.'fun_app$a'| A__questionmark_v1 A__questionmark_v3) (forall ((A__questionmark_v5 |tptp.'A_ltln_list_a_ltln_list_prod_list$'|)) (=> (|tptp.'member$a'| A__questionmark_v5 (|tptp.'set$a'| A__questionmark_v2)) (not (|tptp.'fun_app$a'| A__questionmark_v1 A__questionmark_v5)))))))) (forall ((A__questionmark_v0 |tptp.'A_ltln_list_list$'|) (A__questionmark_v1 |tptp.'A_ltln_list_bool_fun$'|)) (= (exists ((A__questionmark_v2 |tptp.'A_ltln_list$'|)) (and (|tptp.'member$b'| A__questionmark_v2 (|tptp.'set$b'| A__questionmark_v0)) (|tptp.'fun_app$b'| A__questionmark_v1 A__questionmark_v2))) (exists ((A__questionmark_v2 |tptp.'A_ltln_list_list$'|) (A__questionmark_v3 |tptp.'A_ltln_list$'|) (A__questionmark_v4 |tptp.'A_ltln_list_list$'|)) (and (= A__questionmark_v0 (|tptp.'fun_app$af'| (|tptp.'append$b'| A__questionmark_v2) (|tptp.'cons$c'| A__questionmark_v3 A__questionmark_v4))) (|tptp.'fun_app$b'| A__questionmark_v1 A__questionmark_v3) (forall ((A__questionmark_v5 |tptp.'A_ltln_list$'|)) (=> (|tptp.'member$b'| A__questionmark_v5 (|tptp.'set$b'| A__questionmark_v2)) (not (|tptp.'fun_app$b'| A__questionmark_v1 A__questionmark_v5)))))))) (forall ((A__questionmark_v0 |tptp.'A_ltln_list_a_ltln_list_prod_list$'|) (A__questionmark_v1 |tptp.'A_ltln_list_a_ltln_list_prod_bool_fun$'|)) (= (exists ((A__questionmark_v2 |tptp.'A_ltln_list_a_ltln_list_prod$'|)) (and (|tptp.'member$'| A__questionmark_v2 (|tptp.'set$c'| A__questionmark_v0)) (|tptp.'fun_app$'| A__questionmark_v1 A__questionmark_v2))) (exists ((A__questionmark_v2 |tptp.'A_ltln_list_a_ltln_list_prod_list$'|) (A__questionmark_v3 |tptp.'A_ltln_list_a_ltln_list_prod$'|) (A__questionmark_v4 |tptp.'A_ltln_list_a_ltln_list_prod_list$'|)) (and (= A__questionmark_v0 (|tptp.'fun_app$r'| (|tptp.'fun_app$aw'| |tptp.'append$'| A__questionmark_v2) (|tptp.'fun_app$r'| (|tptp.'fun_app$s'| |tptp.'cons$e'| A__questionmark_v3) A__questionmark_v4))) (|tptp.'fun_app$'| A__questionmark_v1 A__questionmark_v3) (forall ((A__questionmark_v5 |tptp.'A_ltln_list_a_ltln_list_prod$'|)) (=> (|tptp.'member$'| A__questionmark_v5 (|tptp.'set$c'| A__questionmark_v2)) (not (|tptp.'fun_app$'| A__questionmark_v1 A__questionmark_v5)))))))) (forall ((A__questionmark_v0 |tptp.'A_ltln_list$'|) (A__questionmark_v1 |tptp.'A_ltln_bool_fun$'|)) (= (exists ((A__questionmark_v2 |tptp.'A_ltln$'|)) (and (|tptp.'member$l'| A__questionmark_v2 (|tptp.'set$d'| A__questionmark_v0)) (|tptp.'fun_app$o'| A__questionmark_v1 A__questionmark_v2))) (exists ((A__questionmark_v2 |tptp.'A_ltln_list$'|) (A__questionmark_v3 |tptp.'A_ltln$'|) (A__questionmark_v4 |tptp.'A_ltln_list$'|)) (and (= A__questionmark_v0 (|tptp.'fun_app$t'| (|tptp.'append$d'| A__questionmark_v2) (|tptp.'fun_app$t'| (|tptp.'cons$f'| A__questionmark_v3) A__questionmark_v4))) (|tptp.'fun_app$o'| A__questionmark_v1 A__questionmark_v3) (forall ((A__questionmark_v5 |tptp.'A_ltln$'|)) (=> (|tptp.'member$l'| A__questionmark_v5 (|tptp.'set$d'| A__questionmark_v2)) (not (|tptp.'fun_app$o'| A__questionmark_v1 A__questionmark_v5)))))))) (forall ((A__questionmark_v0 |tptp.'Nat_list$'|) (A__questionmark_v1 |tptp.'Nat_bool_fun$'|)) (= (exists ((A__questionmark_v2 |tptp.'Nat$'|)) (and (|tptp.'member$c'| A__questionmark_v2 (|tptp.'set$'| A__questionmark_v0)) (|tptp.'fun_app$c'| A__questionmark_v1 A__questionmark_v2))) (exists ((A__questionmark_v2 |tptp.'Nat_list$'|) (A__questionmark_v3 |tptp.'Nat$'|) (A__questionmark_v4 |tptp.'Nat_list$'|)) (and (= A__questionmark_v0 (|tptp.'append$h'| A__questionmark_v2 (|tptp.'cons$h'| A__questionmark_v3 A__questionmark_v4))) (|tptp.'fun_app$c'| A__questionmark_v1 A__questionmark_v3) (forall ((A__questionmark_v5 |tptp.'Nat$'|)) (=> (|tptp.'member$c'| A__questionmark_v5 (|tptp.'set$'| A__questionmark_v4)) (not (|tptp.'fun_app$c'| A__questionmark_v1 A__questionmark_v5)))))))) (forall ((A__questionmark_v0 |tptp.'A_ltln_list_a_ltln_list_prod_list_list$'|) (A__questionmark_v1 |tptp.'A_ltln_list_a_ltln_list_prod_list_bool_fun$'|)) (= (exists ((A__questionmark_v2 |tptp.'A_ltln_list_a_ltln_list_prod_list$'|)) (and (|tptp.'member$a'| A__questionmark_v2 (|tptp.'set$a'| A__questionmark_v0)) (|tptp.'fun_app$a'| A__questionmark_v1 A__questionmark_v2))) (exists ((A__questionmark_v2 |tptp.'A_ltln_list_a_ltln_list_prod_list_list$'|) (A__questionmark_v3 |tptp.'A_ltln_list_a_ltln_list_prod_list$'|) (A__questionmark_v4 |tptp.'A_ltln_list_a_ltln_list_prod_list_list$'|)) (and (= A__questionmark_v0 (|tptp.'fun_app$ae'| (|tptp.'append$a'| A__questionmark_v2) (|tptp.'cons$d'| A__questionmark_v3 A__questionmark_v4))) (|tptp.'fun_app$a'| A__questionmark_v1 A__questionmark_v3) (forall ((A__questionmark_v5 |tptp.'A_ltln_list_a_ltln_list_prod_list$'|)) (=> (|tptp.'member$a'| A__questionmark_v5 (|tptp.'set$a'| A__questionmark_v4)) (not (|tptp.'fun_app$a'| A__questionmark_v1 A__questionmark_v5)))))))) (forall ((A__questionmark_v0 |tptp.'A_ltln_list_list$'|) (A__questionmark_v1 |tptp.'A_ltln_list_bool_fun$'|)) (= (exists ((A__questionmark_v2 |tptp.'A_ltln_list$'|)) (and (|tptp.'member$b'| A__questionmark_v2 (|tptp.'set$b'| A__questionmark_v0)) (|tptp.'fun_app$b'| A__questionmark_v1 A__questionmark_v2))) (exists ((A__questionmark_v2 |tptp.'A_ltln_list_list$'|) (A__questionmark_v3 |tptp.'A_ltln_list$'|) (A__questionmark_v4 |tptp.'A_ltln_list_list$'|)) (and (= A__questionmark_v0 (|tptp.'fun_app$af'| (|tptp.'append$b'| A__questionmark_v2) (|tptp.'cons$c'| A__questionmark_v3 A__questionmark_v4))) (|tptp.'fun_app$b'| A__questionmark_v1 A__questionmark_v3) (forall ((A__questionmark_v5 |tptp.'A_ltln_list$'|)) (=> (|tptp.'member$b'| A__questionmark_v5 (|tptp.'set$b'| A__questionmark_v4)) (not (|tptp.'fun_app$b'| A__questionmark_v1 A__questionmark_v5)))))))) (forall ((A__questionmark_v0 |tptp.'A_ltln_list_a_ltln_list_prod_list$'|) (A__questionmark_v1 |tptp.'A_ltln_list_a_ltln_list_prod_bool_fun$'|)) (= (exists ((A__questionmark_v2 |tptp.'A_ltln_list_a_ltln_list_prod$'|)) (and (|tptp.'member$'| A__questionmark_v2 (|tptp.'set$c'| A__questionmark_v0)) (|tptp.'fun_app$'| A__questionmark_v1 A__questionmark_v2))) (exists ((A__questionmark_v2 |tptp.'A_ltln_list_a_ltln_list_prod_list$'|) (A__questionmark_v3 |tptp.'A_ltln_list_a_ltln_list_prod$'|) (A__questionmark_v4 |tptp.'A_ltln_list_a_ltln_list_prod_list$'|)) (and (= A__questionmark_v0 (|tptp.'fun_app$r'| (|tptp.'fun_app$aw'| |tptp.'append$'| A__questionmark_v2) (|tptp.'fun_app$r'| (|tptp.'fun_app$s'| |tptp.'cons$e'| A__questionmark_v3) A__questionmark_v4))) (|tptp.'fun_app$'| A__questionmark_v1 A__questionmark_v3) (forall ((A__questionmark_v5 |tptp.'A_ltln_list_a_ltln_list_prod$'|)) (=> (|tptp.'member$'| A__questionmark_v5 (|tptp.'set$c'| A__questionmark_v4)) (not (|tptp.'fun_app$'| A__questionmark_v1 A__questionmark_v5)))))))) (forall ((A__questionmark_v0 |tptp.'A_ltln_list$'|) (A__questionmark_v1 |tptp.'A_ltln_bool_fun$'|)) (= (exists ((A__questionmark_v2 |tptp.'A_ltln$'|)) (and (|tptp.'member$l'| A__questionmark_v2 (|tptp.'set$d'| A__questionmark_v0)) (|tptp.'fun_app$o'| A__questionmark_v1 A__questionmark_v2))) (exists ((A__questionmark_v2 |tptp.'A_ltln_list$'|) (A__questionmark_v3 |tptp.'A_ltln$'|) (A__questionmark_v4 |tptp.'A_ltln_list$'|)) (and (= A__questionmark_v0 (|tptp.'fun_app$t'| (|tptp.'append$d'| A__questionmark_v2) (|tptp.'fun_app$t'| (|tptp.'cons$f'| A__questionmark_v3) A__questionmark_v4))) (|tptp.'fun_app$o'| A__questionmark_v1 A__questionmark_v3) (forall ((A__questionmark_v5 |tptp.'A_ltln$'|)) (=> (|tptp.'member$l'| A__questionmark_v5 (|tptp.'set$d'| A__questionmark_v4)) (not (|tptp.'fun_app$o'| A__questionmark_v1 A__questionmark_v5)))))))) (forall ((A__questionmark_v0 |tptp.'Nat$'|) (A__questionmark_v1 |tptp.'Nat_list$'|)) (= (|tptp.'member$c'| A__questionmark_v0 (|tptp.'set$'| A__questionmark_v1)) (exists ((A__questionmark_v2 |tptp.'Nat_list$'|) (A__questionmark_v3 |tptp.'Nat_list$'|)) (and (= A__questionmark_v1 (|tptp.'append$h'| A__questionmark_v2 (|tptp.'cons$h'| A__questionmark_v0 A__questionmark_v3))) (not (|tptp.'member$c'| A__questionmark_v0 (|tptp.'set$'| A__questionmark_v2))))))) (forall ((A__questionmark_v0 |tptp.'A_ltln_list_a_ltln_list_prod_list$'|) (A__questionmark_v1 |tptp.'A_ltln_list_a_ltln_list_prod_list_list$'|)) (= (|tptp.'member$a'| A__questionmark_v0 (|tptp.'set$a'| A__questionmark_v1)) (exists ((A__questionmark_v2 |tptp.'A_ltln_list_a_ltln_list_prod_list_list$'|) (A__questionmark_v3 |tptp.'A_ltln_list_a_ltln_list_prod_list_list$'|)) (and (= A__questionmark_v1 (|tptp.'fun_app$ae'| (|tptp.'append$a'| A__questionmark_v2) (|tptp.'cons$d'| A__questionmark_v0 A__questionmark_v3))) (not (|tptp.'member$a'| A__questionmark_v0 (|tptp.'set$a'| A__questionmark_v2))))))) (forall ((A__questionmark_v0 |tptp.'A_ltln_list$'|) (A__questionmark_v1 |tptp.'A_ltln_list_list$'|)) (= (|tptp.'member$b'| A__questionmark_v0 (|tptp.'set$b'| A__questionmark_v1)) (exists ((A__questionmark_v2 |tptp.'A_ltln_list_list$'|) (A__questionmark_v3 |tptp.'A_ltln_list_list$'|)) (and (= A__questionmark_v1 (|tptp.'fun_app$af'| (|tptp.'append$b'| A__questionmark_v2) (|tptp.'cons$c'| A__questionmark_v0 A__questionmark_v3))) (not (|tptp.'member$b'| A__questionmark_v0 (|tptp.'set$b'| A__questionmark_v2))))))) (forall ((A__questionmark_v0 |tptp.'A_ltln_list_a_ltln_list_prod$'|) (A__questionmark_v1 |tptp.'A_ltln_list_a_ltln_list_prod_list$'|)) (= (|tptp.'member$'| A__questionmark_v0 (|tptp.'set$c'| A__questionmark_v1)) (exists ((A__questionmark_v2 |tptp.'A_ltln_list_a_ltln_list_prod_list$'|) (A__questionmark_v3 |tptp.'A_ltln_list_a_ltln_list_prod_list$'|)) (and (= A__questionmark_v1 (|tptp.'fun_app$r'| (|tptp.'fun_app$aw'| |tptp.'append$'| A__questionmark_v2) (|tptp.'fun_app$r'| (|tptp.'fun_app$s'| |tptp.'cons$e'| A__questionmark_v0) A__questionmark_v3))) (not (|tptp.'member$'| A__questionmark_v0 (|tptp.'set$c'| A__questionmark_v2))))))) (forall ((A__questionmark_v0 |tptp.'A_ltln$'|) (A__questionmark_v1 |tptp.'A_ltln_list$'|)) (= (|tptp.'member$l'| A__questionmark_v0 (|tptp.'set$d'| A__questionmark_v1)) (exists ((A__questionmark_v2 |tptp.'A_ltln_list$'|) (A__questionmark_v3 |tptp.'A_ltln_list$'|)) (and (= A__questionmark_v1 (|tptp.'fun_app$t'| (|tptp.'append$d'| A__questionmark_v2) (|tptp.'fun_app$t'| (|tptp.'cons$f'| A__questionmark_v0) A__questionmark_v3))) (not (|tptp.'member$l'| A__questionmark_v0 (|tptp.'set$d'| A__questionmark_v2))))))) (forall ((A__questionmark_v0 |tptp.'Nat$'|) (A__questionmark_v1 |tptp.'Nat_list$'|)) (= (|tptp.'member$c'| A__questionmark_v0 (|tptp.'set$'| A__questionmark_v1)) (exists ((A__questionmark_v2 |tptp.'Nat_list$'|) (A__questionmark_v3 |tptp.'Nat_list$'|)) (and (= A__questionmark_v1 (|tptp.'append$h'| A__questionmark_v2 (|tptp.'cons$h'| A__questionmark_v0 A__questionmark_v3))) (not (|tptp.'member$c'| A__questionmark_v0 (|tptp.'set$'| A__questionmark_v3))))))) (forall ((A__questionmark_v0 |tptp.'A_ltln_list_a_ltln_list_prod_list$'|) (A__questionmark_v1 |tptp.'A_ltln_list_a_ltln_list_prod_list_list$'|)) (= (|tptp.'member$a'| A__questionmark_v0 (|tptp.'set$a'| A__questionmark_v1)) (exists ((A__questionmark_v2 |tptp.'A_ltln_list_a_ltln_list_prod_list_list$'|) (A__questionmark_v3 |tptp.'A_ltln_list_a_ltln_list_prod_list_list$'|)) (and (= A__questionmark_v1 (|tptp.'fun_app$ae'| (|tptp.'append$a'| A__questionmark_v2) (|tptp.'cons$d'| A__questionmark_v0 A__questionmark_v3))) (not (|tptp.'member$a'| A__questionmark_v0 (|tptp.'set$a'| A__questionmark_v3))))))) (forall ((A__questionmark_v0 |tptp.'A_ltln_list$'|) (A__questionmark_v1 |tptp.'A_ltln_list_list$'|)) (= (|tptp.'member$b'| A__questionmark_v0 (|tptp.'set$b'| A__questionmark_v1)) (exists ((A__questionmark_v2 |tptp.'A_ltln_list_list$'|) (A__questionmark_v3 |tptp.'A_ltln_list_list$'|)) (and (= A__questionmark_v1 (|tptp.'fun_app$af'| (|tptp.'append$b'| A__questionmark_v2) (|tptp.'cons$c'| A__questionmark_v0 A__questionmark_v3))) (not (|tptp.'member$b'| A__questionmark_v0 (|tptp.'set$b'| A__questionmark_v3))))))) (forall ((A__questionmark_v0 |tptp.'A_ltln_list_a_ltln_list_prod$'|) (A__questionmark_v1 |tptp.'A_ltln_list_a_ltln_list_prod_list$'|)) (= (|tptp.'member$'| A__questionmark_v0 (|tptp.'set$c'| A__questionmark_v1)) (exists ((A__questionmark_v2 |tptp.'A_ltln_list_a_ltln_list_prod_list$'|) (A__questionmark_v3 |tptp.'A_ltln_list_a_ltln_list_prod_list$'|)) (and (= A__questionmark_v1 (|tptp.'fun_app$r'| (|tptp.'fun_app$aw'| |tptp.'append$'| A__questionmark_v2) (|tptp.'fun_app$r'| (|tptp.'fun_app$s'| |tptp.'cons$e'| A__questionmark_v0) A__questionmark_v3))) (not (|tptp.'member$'| A__questionmark_v0 (|tptp.'set$c'| A__questionmark_v3))))))) (forall ((A__questionmark_v0 |tptp.'A_ltln$'|) (A__questionmark_v1 |tptp.'A_ltln_list$'|)) (= (|tptp.'member$l'| A__questionmark_v0 (|tptp.'set$d'| A__questionmark_v1)) (exists ((A__questionmark_v2 |tptp.'A_ltln_list$'|) (A__questionmark_v3 |tptp.'A_ltln_list$'|)) (and (= A__questionmark_v1 (|tptp.'fun_app$t'| (|tptp.'append$d'| A__questionmark_v2) (|tptp.'fun_app$t'| (|tptp.'cons$f'| A__questionmark_v0) A__questionmark_v3))) (not (|tptp.'member$l'| A__questionmark_v0 (|tptp.'set$d'| A__questionmark_v3))))))) (forall ((A__questionmark_v0 |tptp.'Nat_list$'|) (A__questionmark_v1 |tptp.'Nat_bool_fun$'|)) (=> (and (exists ((A__questionmark_v2 |tptp.'Nat$'|)) (and (|tptp.'member$c'| A__questionmark_v2 (|tptp.'set$'| A__questionmark_v0)) (|tptp.'fun_app$c'| A__questionmark_v1 A__questionmark_v2))) (forall ((A__questionmark_v2 |tptp.'Nat_list$'|) (A__questionmark_v3 |tptp.'Nat$'|) (A__questionmark_v4 |tptp.'Nat_list$'|)) (=> (and (= A__questionmark_v0 (|tptp.'append$h'| A__questionmark_v2 (|tptp.'cons$h'| A__questionmark_v3 A__questionmark_v4))) (|tptp.'fun_app$c'| A__questionmark_v1 A__questionmark_v3) (forall ((A__questionmark_v5 |tptp.'Nat$'|)) (=> (|tptp.'member$c'| A__questionmark_v5 (|tptp.'set$'| A__questionmark_v2)) (not (|tptp.'fun_app$c'| A__questionmark_v1 A__questionmark_v5))))) false))) false)) (forall ((A__questionmark_v0 |tptp.'A_ltln_list_a_ltln_list_prod_list_list$'|) (A__questionmark_v1 |tptp.'A_ltln_list_a_ltln_list_prod_list_bool_fun$'|)) (=> (and (exists ((A__questionmark_v2 |tptp.'A_ltln_list_a_ltln_list_prod_list$'|)) (and (|tptp.'member$a'| A__questionmark_v2 (|tptp.'set$a'| A__questionmark_v0)) (|tptp.'fun_app$a'| A__questionmark_v1 A__questionmark_v2))) (forall ((A__questionmark_v2 |tptp.'A_ltln_list_a_ltln_list_prod_list_list$'|) (A__questionmark_v3 |tptp.'A_ltln_list_a_ltln_list_prod_list$'|) (A__questionmark_v4 |tptp.'A_ltln_list_a_ltln_list_prod_list_list$'|)) (=> (and (= A__questionmark_v0 (|tptp.'fun_app$ae'| (|tptp.'append$a'| A__questionmark_v2) (|tptp.'cons$d'| A__questionmark_v3 A__questionmark_v4))) (|tptp.'fun_app$a'| A__questionmark_v1 A__questionmark_v3) (forall ((A__questionmark_v5 |tptp.'A_ltln_list_a_ltln_list_prod_list$'|)) (=> (|tptp.'member$a'| A__questionmark_v5 (|tptp.'set$a'| A__questionmark_v2)) (not (|tptp.'fun_app$a'| A__questionmark_v1 A__questionmark_v5))))) false))) false)) (forall ((A__questionmark_v0 |tptp.'A_ltln_list_list$'|) (A__questionmark_v1 |tptp.'A_ltln_list_bool_fun$'|)) (=> (and (exists ((A__questionmark_v2 |tptp.'A_ltln_list$'|)) (and (|tptp.'member$b'| A__questionmark_v2 (|tptp.'set$b'| A__questionmark_v0)) (|tptp.'fun_app$b'| A__questionmark_v1 A__questionmark_v2))) (forall ((A__questionmark_v2 |tptp.'A_ltln_list_list$'|) (A__questionmark_v3 |tptp.'A_ltln_list$'|) (A__questionmark_v4 |tptp.'A_ltln_list_list$'|)) (=> (and (= A__questionmark_v0 (|tptp.'fun_app$af'| (|tptp.'append$b'| A__questionmark_v2) (|tptp.'cons$c'| A__questionmark_v3 A__questionmark_v4))) (|tptp.'fun_app$b'| A__questionmark_v1 A__questionmark_v3) (forall ((A__questionmark_v5 |tptp.'A_ltln_list$'|)) (=> (|tptp.'member$b'| A__questionmark_v5 (|tptp.'set$b'| A__questionmark_v2)) (not (|tptp.'fun_app$b'| A__questionmark_v1 A__questionmark_v5))))) false))) false)) (forall ((A__questionmark_v0 |tptp.'A_ltln_list_a_ltln_list_prod_list$'|) (A__questionmark_v1 |tptp.'A_ltln_list_a_ltln_list_prod_bool_fun$'|)) (=> (and (exists ((A__questionmark_v2 |tptp.'A_ltln_list_a_ltln_list_prod$'|)) (and (|tptp.'member$'| A__questionmark_v2 (|tptp.'set$c'| A__questionmark_v0)) (|tptp.'fun_app$'| A__questionmark_v1 A__questionmark_v2))) (forall ((A__questionmark_v2 |tptp.'A_ltln_list_a_ltln_list_prod_list$'|) (A__questionmark_v3 |tptp.'A_ltln_list_a_ltln_list_prod$'|) (A__questionmark_v4 |tptp.'A_ltln_list_a_ltln_list_prod_list$'|)) (=> (and (= A__questionmark_v0 (|tptp.'fun_app$r'| (|tptp.'fun_app$aw'| |tptp.'append$'| A__questionmark_v2) (|tptp.'fun_app$r'| (|tptp.'fun_app$s'| |tptp.'cons$e'| A__questionmark_v3) A__questionmark_v4))) (|tptp.'fun_app$'| A__questionmark_v1 A__questionmark_v3) (forall ((A__questionmark_v5 |tptp.'A_ltln_list_a_ltln_list_prod$'|)) (=> (|tptp.'member$'| A__questionmark_v5 (|tptp.'set$c'| A__questionmark_v2)) (not (|tptp.'fun_app$'| A__questionmark_v1 A__questionmark_v5))))) false))) false)) (forall ((A__questionmark_v0 |tptp.'A_ltln_list$'|) (A__questionmark_v1 |tptp.'A_ltln_bool_fun$'|)) (=> (and (exists ((A__questionmark_v2 |tptp.'A_ltln$'|)) (and (|tptp.'member$l'| A__questionmark_v2 (|tptp.'set$d'| A__questionmark_v0)) (|tptp.'fun_app$o'| A__questionmark_v1 A__questionmark_v2))) (forall ((A__questionmark_v2 |tptp.'A_ltln_list$'|) (A__questionmark_v3 |tptp.'A_ltln$'|) (A__questionmark_v4 |tptp.'A_ltln_list$'|)) (=> (and (= A__questionmark_v0 (|tptp.'fun_app$t'| (|tptp.'append$d'| A__questionmark_v2) (|tptp.'fun_app$t'| (|tptp.'cons$f'| A__questionmark_v3) A__questionmark_v4))) (|tptp.'fun_app$o'| A__questionmark_v1 A__questionmark_v3) (forall ((A__questionmark_v5 |tptp.'A_ltln$'|)) (=> (|tptp.'member$l'| A__questionmark_v5 (|tptp.'set$d'| A__questionmark_v2)) (not (|tptp.'fun_app$o'| A__questionmark_v1 A__questionmark_v5))))) false))) false)) (forall ((A__questionmark_v0 |tptp.'Nat_list$'|) (A__questionmark_v1 |tptp.'Nat_bool_fun$'|)) (=> (and (exists ((A__questionmark_v2 |tptp.'Nat$'|)) (and (|tptp.'member$c'| A__questionmark_v2 (|tptp.'set$'| A__questionmark_v0)) (|tptp.'fun_app$c'| A__questionmark_v1 A__questionmark_v2))) (forall ((A__questionmark_v2 |tptp.'Nat_list$'|) (A__questionmark_v3 |tptp.'Nat$'|) (A__questionmark_v4 |tptp.'Nat_list$'|)) (=> (and (= A__questionmark_v0 (|tptp.'append$h'| A__questionmark_v2 (|tptp.'cons$h'| A__questionmark_v3 A__questionmark_v4))) (|tptp.'fun_app$c'| A__questionmark_v1 A__questionmark_v3) (forall ((A__questionmark_v5 |tptp.'Nat$'|)) (=> (|tptp.'member$c'| A__questionmark_v5 (|tptp.'set$'| A__questionmark_v4)) (not (|tptp.'fun_app$c'| A__questionmark_v1 A__questionmark_v5))))) false))) false)) (forall ((A__questionmark_v0 |tptp.'A_ltln_list_a_ltln_list_prod_list_list$'|) (A__questionmark_v1 |tptp.'A_ltln_list_a_ltln_list_prod_list_bool_fun$'|)) (=> (and (exists ((A__questionmark_v2 |tptp.'A_ltln_list_a_ltln_list_prod_list$'|)) (and (|tptp.'member$a'| A__questionmark_v2 (|tptp.'set$a'| A__questionmark_v0)) (|tptp.'fun_app$a'| A__questionmark_v1 A__questionmark_v2))) (forall ((A__questionmark_v2 |tptp.'A_ltln_list_a_ltln_list_prod_list_list$'|) (A__questionmark_v3 |tptp.'A_ltln_list_a_ltln_list_prod_list$'|) (A__questionmark_v4 |tptp.'A_ltln_list_a_ltln_list_prod_list_list$'|)) (=> (and (= A__questionmark_v0 (|tptp.'fun_app$ae'| (|tptp.'append$a'| A__questionmark_v2) (|tptp.'cons$d'| A__questionmark_v3 A__questionmark_v4))) (|tptp.'fun_app$a'| A__questionmark_v1 A__questionmark_v3) (forall ((A__questionmark_v5 |tptp.'A_ltln_list_a_ltln_list_prod_list$'|)) (=> (|tptp.'member$a'| A__questionmark_v5 (|tptp.'set$a'| A__questionmark_v4)) (not (|tptp.'fun_app$a'| A__questionmark_v1 A__questionmark_v5))))) false))) false)) (forall ((A__questionmark_v0 |tptp.'A_ltln_list_list$'|) (A__questionmark_v1 |tptp.'A_ltln_list_bool_fun$'|)) (=> (and (exists ((A__questionmark_v2 |tptp.'A_ltln_list$'|)) (and (|tptp.'member$b'| A__questionmark_v2 (|tptp.'set$b'| A__questionmark_v0)) (|tptp.'fun_app$b'| A__questionmark_v1 A__questionmark_v2))) (forall ((A__questionmark_v2 |tptp.'A_ltln_list_list$'|) (A__questionmark_v3 |tptp.'A_ltln_list$'|) (A__questionmark_v4 |tptp.'A_ltln_list_list$'|)) (=> (and (= A__questionmark_v0 (|tptp.'fun_app$af'| (|tptp.'append$b'| A__questionmark_v2) (|tptp.'cons$c'| A__questionmark_v3 A__questionmark_v4))) (|tptp.'fun_app$b'| A__questionmark_v1 A__questionmark_v3) (forall ((A__questionmark_v5 |tptp.'A_ltln_list$'|)) (=> (|tptp.'member$b'| A__questionmark_v5 (|tptp.'set$b'| A__questionmark_v4)) (not (|tptp.'fun_app$b'| A__questionmark_v1 A__questionmark_v5))))) false))) false)) (forall ((A__questionmark_v0 |tptp.'A_ltln_list_a_ltln_list_prod_list$'|) (A__questionmark_v1 |tptp.'A_ltln_list_a_ltln_list_prod_bool_fun$'|)) (=> (and (exists ((A__questionmark_v2 |tptp.'A_ltln_list_a_ltln_list_prod$'|)) (and (|tptp.'member$'| A__questionmark_v2 (|tptp.'set$c'| A__questionmark_v0)) (|tptp.'fun_app$'| A__questionmark_v1 A__questionmark_v2))) (forall ((A__questionmark_v2 |tptp.'A_ltln_list_a_ltln_list_prod_list$'|) (A__questionmark_v3 |tptp.'A_ltln_list_a_ltln_list_prod$'|) (A__questionmark_v4 |tptp.'A_ltln_list_a_ltln_list_prod_list$'|)) (=> (and (= A__questionmark_v0 (|tptp.'fun_app$r'| (|tptp.'fun_app$aw'| |tptp.'append$'| A__questionmark_v2) (|tptp.'fun_app$r'| (|tptp.'fun_app$s'| |tptp.'cons$e'| A__questionmark_v3) A__questionmark_v4))) (|tptp.'fun_app$'| A__questionmark_v1 A__questionmark_v3) (forall ((A__questionmark_v5 |tptp.'A_ltln_list_a_ltln_list_prod$'|)) (=> (|tptp.'member$'| A__questionmark_v5 (|tptp.'set$c'| A__questionmark_v4)) (not (|tptp.'fun_app$'| A__questionmark_v1 A__questionmark_v5))))) false))) false)) (forall ((A__questionmark_v0 |tptp.'A_ltln_list$'|) (A__questionmark_v1 |tptp.'A_ltln_bool_fun$'|)) (=> (and (exists ((A__questionmark_v2 |tptp.'A_ltln$'|)) (and (|tptp.'member$l'| A__questionmark_v2 (|tptp.'set$d'| A__questionmark_v0)) (|tptp.'fun_app$o'| A__questionmark_v1 A__questionmark_v2))) (forall ((A__questionmark_v2 |tptp.'A_ltln_list$'|) (A__questionmark_v3 |tptp.'A_ltln$'|) (A__questionmark_v4 |tptp.'A_ltln_list$'|)) (=> (and (= A__questionmark_v0 (|tptp.'fun_app$t'| (|tptp.'append$d'| A__questionmark_v2) (|tptp.'fun_app$t'| (|tptp.'cons$f'| A__questionmark_v3) A__questionmark_v4))) (|tptp.'fun_app$o'| A__questionmark_v1 A__questionmark_v3) (forall ((A__questionmark_v5 |tptp.'A_ltln$'|)) (=> (|tptp.'member$l'| A__questionmark_v5 (|tptp.'set$d'| A__questionmark_v4)) (not (|tptp.'fun_app$o'| A__questionmark_v1 A__questionmark_v5))))) false))) false)) (forall ((A__questionmark_v0 |tptp.'Nat_list$'|) (A__questionmark_v1 |tptp.'Nat_bool_fun$'|)) (=> (exists ((A__questionmark_v2 |tptp.'Nat$'|)) (and (|tptp.'member$c'| A__questionmark_v2 (|tptp.'set$'| A__questionmark_v0)) (|tptp.'fun_app$c'| A__questionmark_v1 A__questionmark_v2))) (exists ((A__questionmark_v2 |tptp.'Nat_list$'|) (A__questionmark_v3 |tptp.'Nat$'|) (A__questionmark_v4 |tptp.'Nat_list$'|)) (and (= A__questionmark_v0 (|tptp.'append$h'| A__questionmark_v2 (|tptp.'cons$h'| A__questionmark_v3 A__questionmark_v4))) (|tptp.'fun_app$c'| A__questionmark_v1 A__questionmark_v3) (forall ((A__questionmark_v5 |tptp.'Nat$'|)) (=> (|tptp.'member$c'| A__questionmark_v5 (|tptp.'set$'| A__questionmark_v2)) (not (|tptp.'fun_app$c'| A__questionmark_v1 A__questionmark_v5)))))))) (forall ((A__questionmark_v0 |tptp.'A_ltln_list_a_ltln_list_prod_list_list$'|) (A__questionmark_v1 |tptp.'A_ltln_list_a_ltln_list_prod_list_bool_fun$'|)) (=> (exists ((A__questionmark_v2 |tptp.'A_ltln_list_a_ltln_list_prod_list$'|)) (and (|tptp.'member$a'| A__questionmark_v2 (|tptp.'set$a'| A__questionmark_v0)) (|tptp.'fun_app$a'| A__questionmark_v1 A__questionmark_v2))) (exists ((A__questionmark_v2 |tptp.'A_ltln_list_a_ltln_list_prod_list_list$'|) (A__questionmark_v3 |tptp.'A_ltln_list_a_ltln_list_prod_list$'|) (A__questionmark_v4 |tptp.'A_ltln_list_a_ltln_list_prod_list_list$'|)) (and (= A__questionmark_v0 (|tptp.'fun_app$ae'| (|tptp.'append$a'| A__questionmark_v2) (|tptp.'cons$d'| A__questionmark_v3 A__questionmark_v4))) (|tptp.'fun_app$a'| A__questionmark_v1 A__questionmark_v3) (forall ((A__questionmark_v5 |tptp.'A_ltln_list_a_ltln_list_prod_list$'|)) (=> (|tptp.'member$a'| A__questionmark_v5 (|tptp.'set$a'| A__questionmark_v2)) (not (|tptp.'fun_app$a'| A__questionmark_v1 A__questionmark_v5)))))))) (forall ((A__questionmark_v0 |tptp.'A_ltln_list_list$'|) (A__questionmark_v1 |tptp.'A_ltln_list_bool_fun$'|)) (=> (exists ((A__questionmark_v2 |tptp.'A_ltln_list$'|)) (and (|tptp.'member$b'| A__questionmark_v2 (|tptp.'set$b'| A__questionmark_v0)) (|tptp.'fun_app$b'| A__questionmark_v1 A__questionmark_v2))) (exists ((A__questionmark_v2 |tptp.'A_ltln_list_list$'|) (A__questionmark_v3 |tptp.'A_ltln_list$'|) (A__questionmark_v4 |tptp.'A_ltln_list_list$'|)) (and (= A__questionmark_v0 (|tptp.'fun_app$af'| (|tptp.'append$b'| A__questionmark_v2) (|tptp.'cons$c'| A__questionmark_v3 A__questionmark_v4))) (|tptp.'fun_app$b'| A__questionmark_v1 A__questionmark_v3) (forall ((A__questionmark_v5 |tptp.'A_ltln_list$'|)) (=> (|tptp.'member$b'| A__questionmark_v5 (|tptp.'set$b'| A__questionmark_v2)) (not (|tptp.'fun_app$b'| A__questionmark_v1 A__questionmark_v5)))))))) (forall ((A__questionmark_v0 |tptp.'A_ltln_list_a_ltln_list_prod_list$'|) (A__questionmark_v1 |tptp.'A_ltln_list_a_ltln_list_prod_bool_fun$'|)) (=> (exists ((A__questionmark_v2 |tptp.'A_ltln_list_a_ltln_list_prod$'|)) (and (|tptp.'member$'| A__questionmark_v2 (|tptp.'set$c'| A__questionmark_v0)) (|tptp.'fun_app$'| A__questionmark_v1 A__questionmark_v2))) (exists ((A__questionmark_v2 |tptp.'A_ltln_list_a_ltln_list_prod_list$'|) (A__questionmark_v3 |tptp.'A_ltln_list_a_ltln_list_prod$'|) (A__questionmark_v4 |tptp.'A_ltln_list_a_ltln_list_prod_list$'|)) (and (= A__questionmark_v0 (|tptp.'fun_app$r'| (|tptp.'fun_app$aw'| |tptp.'append$'| A__questionmark_v2) (|tptp.'fun_app$r'| (|tptp.'fun_app$s'| |tptp.'cons$e'| A__questionmark_v3) A__questionmark_v4))) (|tptp.'fun_app$'| A__questionmark_v1 A__questionmark_v3) (forall ((A__questionmark_v5 |tptp.'A_ltln_list_a_ltln_list_prod$'|)) (=> (|tptp.'member$'| A__questionmark_v5 (|tptp.'set$c'| A__questionmark_v2)) (not (|tptp.'fun_app$'| A__questionmark_v1 A__questionmark_v5)))))))) (forall ((A__questionmark_v0 |tptp.'A_ltln_list$'|) (A__questionmark_v1 |tptp.'A_ltln_bool_fun$'|)) (=> (exists ((A__questionmark_v2 |tptp.'A_ltln$'|)) (and (|tptp.'member$l'| A__questionmark_v2 (|tptp.'set$d'| A__questionmark_v0)) (|tptp.'fun_app$o'| A__questionmark_v1 A__questionmark_v2))) (exists ((A__questionmark_v2 |tptp.'A_ltln_list$'|) (A__questionmark_v3 |tptp.'A_ltln$'|) (A__questionmark_v4 |tptp.'A_ltln_list$'|)) (and (= A__questionmark_v0 (|tptp.'fun_app$t'| (|tptp.'append$d'| A__questionmark_v2) (|tptp.'fun_app$t'| (|tptp.'cons$f'| A__questionmark_v3) A__questionmark_v4))) (|tptp.'fun_app$o'| A__questionmark_v1 A__questionmark_v3) (forall ((A__questionmark_v5 |tptp.'A_ltln$'|)) (=> (|tptp.'member$l'| A__questionmark_v5 (|tptp.'set$d'| A__questionmark_v2)) (not (|tptp.'fun_app$o'| A__questionmark_v1 A__questionmark_v5)))))))) (forall ((A__questionmark_v0 |tptp.'Nat_list$'|) (A__questionmark_v1 |tptp.'Nat_bool_fun$'|)) (=> (exists ((A__questionmark_v2 |tptp.'Nat$'|)) (and (|tptp.'member$c'| A__questionmark_v2 (|tptp.'set$'| A__questionmark_v0)) (|tptp.'fun_app$c'| A__questionmark_v1 A__questionmark_v2))) (exists ((A__questionmark_v2 |tptp.'Nat_list$'|) (A__questionmark_v3 |tptp.'Nat$'|) (A__questionmark_v4 |tptp.'Nat_list$'|)) (and (= A__questionmark_v0 (|tptp.'append$h'| A__questionmark_v2 (|tptp.'cons$h'| A__questionmark_v3 A__questionmark_v4))) (|tptp.'fun_app$c'| A__questionmark_v1 A__questionmark_v3) (forall ((A__questionmark_v5 |tptp.'Nat$'|)) (=> (|tptp.'member$c'| A__questionmark_v5 (|tptp.'set$'| A__questionmark_v4)) (not (|tptp.'fun_app$c'| A__questionmark_v1 A__questionmark_v5)))))))) (forall ((A__questionmark_v0 |tptp.'A_ltln_list_a_ltln_list_prod_list_list$'|) (A__questionmark_v1 |tptp.'A_ltln_list_a_ltln_list_prod_list_bool_fun$'|)) (=> (exists ((A__questionmark_v2 |tptp.'A_ltln_list_a_ltln_list_prod_list$'|)) (and (|tptp.'member$a'| A__questionmark_v2 (|tptp.'set$a'| A__questionmark_v0)) (|tptp.'fun_app$a'| A__questionmark_v1 A__questionmark_v2))) (exists ((A__questionmark_v2 |tptp.'A_ltln_list_a_ltln_list_prod_list_list$'|) (A__questionmark_v3 |tptp.'A_ltln_list_a_ltln_list_prod_list$'|) (A__questionmark_v4 |tptp.'A_ltln_list_a_ltln_list_prod_list_list$'|)) (and (= A__questionmark_v0 (|tptp.'fun_app$ae'| (|tptp.'append$a'| A__questionmark_v2) (|tptp.'cons$d'| A__questionmark_v3 A__questionmark_v4))) (|tptp.'fun_app$a'| A__questionmark_v1 A__questionmark_v3) (forall ((A__questionmark_v5 |tptp.'A_ltln_list_a_ltln_list_prod_list$'|)) (=> (|tptp.'member$a'| A__questionmark_v5 (|tptp.'set$a'| A__questionmark_v4)) (not (|tptp.'fun_app$a'| A__questionmark_v1 A__questionmark_v5)))))))) (forall ((A__questionmark_v0 |tptp.'A_ltln_list_list$'|) (A__questionmark_v1 |tptp.'A_ltln_list_bool_fun$'|)) (=> (exists ((A__questionmark_v2 |tptp.'A_ltln_list$'|)) (and (|tptp.'member$b'| A__questionmark_v2 (|tptp.'set$b'| A__questionmark_v0)) (|tptp.'fun_app$b'| A__questionmark_v1 A__questionmark_v2))) (exists ((A__questionmark_v2 |tptp.'A_ltln_list_list$'|) (A__questionmark_v3 |tptp.'A_ltln_list$'|) (A__questionmark_v4 |tptp.'A_ltln_list_list$'|)) (and (= A__questionmark_v0 (|tptp.'fun_app$af'| (|tptp.'append$b'| A__questionmark_v2) (|tptp.'cons$c'| A__questionmark_v3 A__questionmark_v4))) (|tptp.'fun_app$b'| A__questionmark_v1 A__questionmark_v3) (forall ((A__questionmark_v5 |tptp.'A_ltln_list$'|)) (=> (|tptp.'member$b'| A__questionmark_v5 (|tptp.'set$b'| A__questionmark_v4)) (not (|tptp.'fun_app$b'| A__questionmark_v1 A__questionmark_v5)))))))) (forall ((A__questionmark_v0 |tptp.'A_ltln_list_a_ltln_list_prod_list$'|) (A__questionmark_v1 |tptp.'A_ltln_list_a_ltln_list_prod_bool_fun$'|)) (=> (exists ((A__questionmark_v2 |tptp.'A_ltln_list_a_ltln_list_prod$'|)) (and (|tptp.'member$'| A__questionmark_v2 (|tptp.'set$c'| A__questionmark_v0)) (|tptp.'fun_app$'| A__questionmark_v1 A__questionmark_v2))) (exists ((A__questionmark_v2 |tptp.'A_ltln_list_a_ltln_list_prod_list$'|) (A__questionmark_v3 |tptp.'A_ltln_list_a_ltln_list_prod$'|) (A__questionmark_v4 |tptp.'A_ltln_list_a_ltln_list_prod_list$'|)) (and (= A__questionmark_v0 (|tptp.'fun_app$r'| (|tptp.'fun_app$aw'| |tptp.'append$'| A__questionmark_v2) (|tptp.'fun_app$r'| (|tptp.'fun_app$s'| |tptp.'cons$e'| A__questionmark_v3) A__questionmark_v4))) (|tptp.'fun_app$'| A__questionmark_v1 A__questionmark_v3) (forall ((A__questionmark_v5 |tptp.'A_ltln_list_a_ltln_list_prod$'|)) (=> (|tptp.'member$'| A__questionmark_v5 (|tptp.'set$c'| A__questionmark_v4)) (not (|tptp.'fun_app$'| A__questionmark_v1 A__questionmark_v5)))))))) (forall ((A__questionmark_v0 |tptp.'A_ltln_list$'|) (A__questionmark_v1 |tptp.'A_ltln_bool_fun$'|)) (=> (exists ((A__questionmark_v2 |tptp.'A_ltln$'|)) (and (|tptp.'member$l'| A__questionmark_v2 (|tptp.'set$d'| A__questionmark_v0)) (|tptp.'fun_app$o'| A__questionmark_v1 A__questionmark_v2))) (exists ((A__questionmark_v2 |tptp.'A_ltln_list$'|) (A__questionmark_v3 |tptp.'A_ltln$'|) (A__questionmark_v4 |tptp.'A_ltln_list$'|)) (and (= A__questionmark_v0 (|tptp.'fun_app$t'| (|tptp.'append$d'| A__questionmark_v2) (|tptp.'fun_app$t'| (|tptp.'cons$f'| A__questionmark_v3) A__questionmark_v4))) (|tptp.'fun_app$o'| A__questionmark_v1 A__questionmark_v3) (forall ((A__questionmark_v5 |tptp.'A_ltln$'|)) (=> (|tptp.'member$l'| A__questionmark_v5 (|tptp.'set$d'| A__questionmark_v4)) (not (|tptp.'fun_app$o'| A__questionmark_v1 A__questionmark_v5)))))))) (forall ((A__questionmark_v0 |tptp.'Nat$'|) (A__questionmark_v1 |tptp.'Nat_list$'|)) (= (|tptp.'member$c'| A__questionmark_v0 (|tptp.'set$'| A__questionmark_v1)) (exists ((A__questionmark_v2 |tptp.'Nat_list$'|) (A__questionmark_v3 |tptp.'Nat_list$'|)) (= A__questionmark_v1 (|tptp.'append$h'| A__questionmark_v2 (|tptp.'cons$h'| A__questionmark_v0 A__questionmark_v3)))))) (forall ((A__questionmark_v0 |tptp.'A_ltln_list_a_ltln_list_prod_list$'|) (A__questionmark_v1 |tptp.'A_ltln_list_a_ltln_list_prod_list_list$'|)) (= (|tptp.'member$a'| A__questionmark_v0 (|tptp.'set$a'| A__questionmark_v1)) (exists ((A__questionmark_v2 |tptp.'A_ltln_list_a_ltln_list_prod_list_list$'|) (A__questionmark_v3 |tptp.'A_ltln_list_a_ltln_list_prod_list_list$'|)) (= A__questionmark_v1 (|tptp.'fun_app$ae'| (|tptp.'append$a'| A__questionmark_v2) (|tptp.'cons$d'| A__questionmark_v0 A__questionmark_v3)))))) (forall ((A__questionmark_v0 |tptp.'A_ltln_list$'|) (A__questionmark_v1 |tptp.'A_ltln_list_list$'|)) (= (|tptp.'member$b'| A__questionmark_v0 (|tptp.'set$b'| A__questionmark_v1)) (exists ((A__questionmark_v2 |tptp.'A_ltln_list_list$'|) (A__questionmark_v3 |tptp.'A_ltln_list_list$'|)) (= A__questionmark_v1 (|tptp.'fun_app$af'| (|tptp.'append$b'| A__questionmark_v2) (|tptp.'cons$c'| A__questionmark_v0 A__questionmark_v3)))))) (forall ((A__questionmark_v0 |tptp.'A_ltln_list_a_ltln_list_prod$'|) (A__questionmark_v1 |tptp.'A_ltln_list_a_ltln_list_prod_list$'|)) (= (|tptp.'member$'| A__questionmark_v0 (|tptp.'set$c'| A__questionmark_v1)) (exists ((A__questionmark_v2 |tptp.'A_ltln_list_a_ltln_list_prod_list$'|) (A__questionmark_v3 |tptp.'A_ltln_list_a_ltln_list_prod_list$'|)) (= A__questionmark_v1 (|tptp.'fun_app$r'| (|tptp.'fun_app$aw'| |tptp.'append$'| A__questionmark_v2) (|tptp.'fun_app$r'| (|tptp.'fun_app$s'| |tptp.'cons$e'| A__questionmark_v0) A__questionmark_v3)))))) (forall ((A__questionmark_v0 |tptp.'A_ltln$'|) (A__questionmark_v1 |tptp.'A_ltln_list$'|)) (= (|tptp.'member$l'| A__questionmark_v0 (|tptp.'set$d'| A__questionmark_v1)) (exists ((A__questionmark_v2 |tptp.'A_ltln_list$'|) (A__questionmark_v3 |tptp.'A_ltln_list$'|)) (= A__questionmark_v1 (|tptp.'fun_app$t'| (|tptp.'append$d'| A__questionmark_v2) (|tptp.'fun_app$t'| (|tptp.'cons$f'| A__questionmark_v0) A__questionmark_v3)))))) (forall ((A__questionmark_v0 |tptp.'Nat$'|) (A__questionmark_v1 |tptp.'Nat_list$'|) (A__questionmark_v2 |tptp.'Nat_list$'|) (A__questionmark_v3 |tptp.'Nat_list$'|) (A__questionmark_v4 |tptp.'Nat_list$'|)) (=> (and (not (|tptp.'member$c'| A__questionmark_v0 (|tptp.'set$'| A__questionmark_v1))) (not (|tptp.'member$c'| A__questionmark_v0 (|tptp.'set$'| A__questionmark_v2)))) (= (= (|tptp.'append$h'| A__questionmark_v1 (|tptp.'cons$h'| A__questionmark_v0 A__questionmark_v2)) (|tptp.'append$h'| A__questionmark_v3 (|tptp.'cons$h'| A__questionmark_v0 A__questionmark_v4))) (and (= A__questionmark_v1 A__questionmark_v3) (= A__questionmark_v2 A__questionmark_v4))))) (forall ((A__questionmark_v0 |tptp.'A_ltln_list_a_ltln_list_prod_list$'|) (A__questionmark_v1 |tptp.'A_ltln_list_a_ltln_list_prod_list_list$'|) (A__questionmark_v2 |tptp.'A_ltln_list_a_ltln_list_prod_list_list$'|) (A__questionmark_v3 |tptp.'A_ltln_list_a_ltln_list_prod_list_list$'|) (A__questionmark_v4 |tptp.'A_ltln_list_a_ltln_list_prod_list_list$'|)) (=> (and (not (|tptp.'member$a'| A__questionmark_v0 (|tptp.'set$a'| A__questionmark_v1))) (not (|tptp.'member$a'| A__questionmark_v0 (|tptp.'set$a'| A__questionmark_v2)))) (= (= (|tptp.'fun_app$ae'| (|tptp.'append$a'| A__questionmark_v1) (|tptp.'cons$d'| A__questionmark_v0 A__questionmark_v2)) (|tptp.'fun_app$ae'| (|tptp.'append$a'| A__questionmark_v3) (|tptp.'cons$d'| A__questionmark_v0 A__questionmark_v4))) (and (= A__questionmark_v1 A__questionmark_v3) (= A__questionmark_v2 A__questionmark_v4))))) (forall ((A__questionmark_v0 |tptp.'A_ltln_list$'|) (A__questionmark_v1 |tptp.'A_ltln_list_list$'|) (A__questionmark_v2 |tptp.'A_ltln_list_list$'|) (A__questionmark_v3 |tptp.'A_ltln_list_list$'|) (A__questionmark_v4 |tptp.'A_ltln_list_list$'|)) (=> (and (not (|tptp.'member$b'| A__questionmark_v0 (|tptp.'set$b'| A__questionmark_v1))) (not (|tptp.'member$b'| A__questionmark_v0 (|tptp.'set$b'| A__questionmark_v2)))) (= (= (|tptp.'fun_app$af'| (|tptp.'append$b'| A__questionmark_v1) (|tptp.'cons$c'| A__questionmark_v0 A__questionmark_v2)) (|tptp.'fun_app$af'| (|tptp.'append$b'| A__questionmark_v3) (|tptp.'cons$c'| A__questionmark_v0 A__questionmark_v4))) (and (= A__questionmark_v1 A__questionmark_v3) (= A__questionmark_v2 A__questionmark_v4))))) (forall ((A__questionmark_v0 |tptp.'A_ltln_list_a_ltln_list_prod$'|) (A__questionmark_v1 |tptp.'A_ltln_list_a_ltln_list_prod_list$'|) (A__questionmark_v2 |tptp.'A_ltln_list_a_ltln_list_prod_list$'|) (A__questionmark_v3 |tptp.'A_ltln_list_a_ltln_list_prod_list$'|) (A__questionmark_v4 |tptp.'A_ltln_list_a_ltln_list_prod_list$'|)) (let ((_let_1 (|tptp.'fun_app$s'| |tptp.'cons$e'| A__questionmark_v0))) (=> (and (not (|tptp.'member$'| A__questionmark_v0 (|tptp.'set$c'| A__questionmark_v1))) (not (|tptp.'member$'| A__questionmark_v0 (|tptp.'set$c'| A__questionmark_v2)))) (= (= (|tptp.'fun_app$r'| (|tptp.'fun_app$aw'| |tptp.'append$'| A__questionmark_v1) (|tptp.'fun_app$r'| _let_1 A__questionmark_v2)) (|tptp.'fun_app$r'| (|tptp.'fun_app$aw'| |tptp.'append$'| A__questionmark_v3) (|tptp.'fun_app$r'| _let_1 A__questionmark_v4))) (and (= A__questionmark_v1 A__questionmark_v3) (= A__questionmark_v2 A__questionmark_v4)))))) (forall ((A__questionmark_v0 |tptp.'A_ltln$'|) (A__questionmark_v1 |tptp.'A_ltln_list$'|) (A__questionmark_v2 |tptp.'A_ltln_list$'|) (A__questionmark_v3 |tptp.'A_ltln_list$'|) (A__questionmark_v4 |tptp.'A_ltln_list$'|)) (let ((_let_1 (|tptp.'cons$f'| A__questionmark_v0))) (=> (and (not (|tptp.'member$l'| A__questionmark_v0 (|tptp.'set$d'| A__questionmark_v1))) (not (|tptp.'member$l'| A__questionmark_v0 (|tptp.'set$d'| A__questionmark_v2)))) (= (= (|tptp.'fun_app$t'| (|tptp.'append$d'| A__questionmark_v1) (|tptp.'fun_app$t'| _let_1 A__questionmark_v2)) (|tptp.'fun_app$t'| (|tptp.'append$d'| A__questionmark_v3) (|tptp.'fun_app$t'| _let_1 A__questionmark_v4))) (and (= A__questionmark_v1 A__questionmark_v3) (= A__questionmark_v2 A__questionmark_v4)))))) (forall ((A__questionmark_v0 |tptp.'Nat_list$'|) (A__questionmark_v1 |tptp.'Nat_bool_fun$'|)) (=> (and (exists ((A__questionmark_v2 |tptp.'Nat$'|)) (and (|tptp.'member$c'| A__questionmark_v2 (|tptp.'set$'| A__questionmark_v0)) (|tptp.'fun_app$c'| A__questionmark_v1 A__questionmark_v2))) (forall ((A__questionmark_v2 |tptp.'Nat_list$'|) (A__questionmark_v3 |tptp.'Nat$'|) (A__questionmark_v4 |tptp.'Nat_list$'|)) (=> (and (= A__questionmark_v0 (|tptp.'append$h'| A__questionmark_v2 (|tptp.'cons$h'| A__questionmark_v3 A__questionmark_v4))) (|tptp.'fun_app$c'| A__questionmark_v1 A__questionmark_v3)) false))) false)) (forall ((A__questionmark_v0 |tptp.'A_ltln_list_a_ltln_list_prod_list_list$'|) (A__questionmark_v1 |tptp.'A_ltln_list_a_ltln_list_prod_list_bool_fun$'|)) (=> (and (exists ((A__questionmark_v2 |tptp.'A_ltln_list_a_ltln_list_prod_list$'|)) (and (|tptp.'member$a'| A__questionmark_v2 (|tptp.'set$a'| A__questionmark_v0)) (|tptp.'fun_app$a'| A__questionmark_v1 A__questionmark_v2))) (forall ((A__questionmark_v2 |tptp.'A_ltln_list_a_ltln_list_prod_list_list$'|) (A__questionmark_v3 |tptp.'A_ltln_list_a_ltln_list_prod_list$'|) (A__questionmark_v4 |tptp.'A_ltln_list_a_ltln_list_prod_list_list$'|)) (=> (and (= A__questionmark_v0 (|tptp.'fun_app$ae'| (|tptp.'append$a'| A__questionmark_v2) (|tptp.'cons$d'| A__questionmark_v3 A__questionmark_v4))) (|tptp.'fun_app$a'| A__questionmark_v1 A__questionmark_v3)) false))) false)) (forall ((A__questionmark_v0 |tptp.'A_ltln_list_list$'|) (A__questionmark_v1 |tptp.'A_ltln_list_bool_fun$'|)) (=> (and (exists ((A__questionmark_v2 |tptp.'A_ltln_list$'|)) (and (|tptp.'member$b'| A__questionmark_v2 (|tptp.'set$b'| A__questionmark_v0)) (|tptp.'fun_app$b'| A__questionmark_v1 A__questionmark_v2))) (forall ((A__questionmark_v2 |tptp.'A_ltln_list_list$'|) (A__questionmark_v3 |tptp.'A_ltln_list$'|) (A__questionmark_v4 |tptp.'A_ltln_list_list$'|)) (=> (and (= A__questionmark_v0 (|tptp.'fun_app$af'| (|tptp.'append$b'| A__questionmark_v2) (|tptp.'cons$c'| A__questionmark_v3 A__questionmark_v4))) (|tptp.'fun_app$b'| A__questionmark_v1 A__questionmark_v3)) false))) false)) (forall ((A__questionmark_v0 |tptp.'A_ltln_list_a_ltln_list_prod_list$'|) (A__questionmark_v1 |tptp.'A_ltln_list_a_ltln_list_prod_bool_fun$'|)) (=> (and (exists ((A__questionmark_v2 |tptp.'A_ltln_list_a_ltln_list_prod$'|)) (and (|tptp.'member$'| A__questionmark_v2 (|tptp.'set$c'| A__questionmark_v0)) (|tptp.'fun_app$'| A__questionmark_v1 A__questionmark_v2))) (forall ((A__questionmark_v2 |tptp.'A_ltln_list_a_ltln_list_prod_list$'|) (A__questionmark_v3 |tptp.'A_ltln_list_a_ltln_list_prod$'|) (A__questionmark_v4 |tptp.'A_ltln_list_a_ltln_list_prod_list$'|)) (=> (and (= A__questionmark_v0 (|tptp.'fun_app$r'| (|tptp.'fun_app$aw'| |tptp.'append$'| A__questionmark_v2) (|tptp.'fun_app$r'| (|tptp.'fun_app$s'| |tptp.'cons$e'| A__questionmark_v3) A__questionmark_v4))) (|tptp.'fun_app$'| A__questionmark_v1 A__questionmark_v3)) false))) false)) (forall ((A__questionmark_v0 |tptp.'A_ltln_list$'|) (A__questionmark_v1 |tptp.'A_ltln_bool_fun$'|)) (=> (and (exists ((A__questionmark_v2 |tptp.'A_ltln$'|)) (and (|tptp.'member$l'| A__questionmark_v2 (|tptp.'set$d'| A__questionmark_v0)) (|tptp.'fun_app$o'| A__questionmark_v1 A__questionmark_v2))) (forall ((A__questionmark_v2 |tptp.'A_ltln_list$'|) (A__questionmark_v3 |tptp.'A_ltln$'|) (A__questionmark_v4 |tptp.'A_ltln_list$'|)) (=> (and (= A__questionmark_v0 (|tptp.'fun_app$t'| (|tptp.'append$d'| A__questionmark_v2) (|tptp.'fun_app$t'| (|tptp.'cons$f'| A__questionmark_v3) A__questionmark_v4))) (|tptp.'fun_app$o'| A__questionmark_v1 A__questionmark_v3)) false))) false)) (forall ((A__questionmark_v0 |tptp.'Nat$'|) (A__questionmark_v1 |tptp.'Nat_list$'|)) (=> (|tptp.'member$c'| A__questionmark_v0 (|tptp.'set$'| A__questionmark_v1)) (exists ((A__questionmark_v2 |tptp.'Nat_list$'|) (A__questionmark_v3 |tptp.'Nat_list$'|)) (and (= A__questionmark_v1 (|tptp.'append$h'| A__questionmark_v2 (|tptp.'cons$h'| A__questionmark_v0 A__questionmark_v3))) (not (|tptp.'member$c'| A__questionmark_v0 (|tptp.'set$'| A__questionmark_v2))))))) (forall ((A__questionmark_v0 |tptp.'A_ltln_list_a_ltln_list_prod_list$'|) (A__questionmark_v1 |tptp.'A_ltln_list_a_ltln_list_prod_list_list$'|)) (=> (|tptp.'member$a'| A__questionmark_v0 (|tptp.'set$a'| A__questionmark_v1)) (exists ((A__questionmark_v2 |tptp.'A_ltln_list_a_ltln_list_prod_list_list$'|) (A__questionmark_v3 |tptp.'A_ltln_list_a_ltln_list_prod_list_list$'|)) (and (= A__questionmark_v1 (|tptp.'fun_app$ae'| (|tptp.'append$a'| A__questionmark_v2) (|tptp.'cons$d'| A__questionmark_v0 A__questionmark_v3))) (not (|tptp.'member$a'| A__questionmark_v0 (|tptp.'set$a'| A__questionmark_v2))))))) (forall ((A__questionmark_v0 |tptp.'A_ltln_list$'|) (A__questionmark_v1 |tptp.'A_ltln_list_list$'|)) (=> (|tptp.'member$b'| A__questionmark_v0 (|tptp.'set$b'| A__questionmark_v1)) (exists ((A__questionmark_v2 |tptp.'A_ltln_list_list$'|) (A__questionmark_v3 |tptp.'A_ltln_list_list$'|)) (and (= A__questionmark_v1 (|tptp.'fun_app$af'| (|tptp.'append$b'| A__questionmark_v2) (|tptp.'cons$c'| A__questionmark_v0 A__questionmark_v3))) (not (|tptp.'member$b'| A__questionmark_v0 (|tptp.'set$b'| A__questionmark_v2))))))) (forall ((A__questionmark_v0 |tptp.'A_ltln_list_a_ltln_list_prod$'|) (A__questionmark_v1 |tptp.'A_ltln_list_a_ltln_list_prod_list$'|)) (=> (|tptp.'member$'| A__questionmark_v0 (|tptp.'set$c'| A__questionmark_v1)) (exists ((A__questionmark_v2 |tptp.'A_ltln_list_a_ltln_list_prod_list$'|) (A__questionmark_v3 |tptp.'A_ltln_list_a_ltln_list_prod_list$'|)) (and (= A__questionmark_v1 (|tptp.'fun_app$r'| (|tptp.'fun_app$aw'| |tptp.'append$'| A__questionmark_v2) (|tptp.'fun_app$r'| (|tptp.'fun_app$s'| |tptp.'cons$e'| A__questionmark_v0) A__questionmark_v3))) (not (|tptp.'member$'| A__questionmark_v0 (|tptp.'set$c'| A__questionmark_v2))))))) (forall ((A__questionmark_v0 |tptp.'A_ltln$'|) (A__questionmark_v1 |tptp.'A_ltln_list$'|)) (=> (|tptp.'member$l'| A__questionmark_v0 (|tptp.'set$d'| A__questionmark_v1)) (exists ((A__questionmark_v2 |tptp.'A_ltln_list$'|) (A__questionmark_v3 |tptp.'A_ltln_list$'|)) (and (= A__questionmark_v1 (|tptp.'fun_app$t'| (|tptp.'append$d'| A__questionmark_v2) (|tptp.'fun_app$t'| (|tptp.'cons$f'| A__questionmark_v0) A__questionmark_v3))) (not (|tptp.'member$l'| A__questionmark_v0 (|tptp.'set$d'| A__questionmark_v2))))))) (forall ((A__questionmark_v0 |tptp.'Nat_list$'|) (A__questionmark_v1 |tptp.'Nat_bool_fun$'|)) (=> (exists ((A__questionmark_v2 |tptp.'Nat$'|)) (and (|tptp.'member$c'| A__questionmark_v2 (|tptp.'set$'| A__questionmark_v0)) (|tptp.'fun_app$c'| A__questionmark_v1 A__questionmark_v2))) (exists ((A__questionmark_v2 |tptp.'Nat_list$'|) (A__questionmark_v3 |tptp.'Nat$'|) (A__questionmark_v4 |tptp.'Nat_list$'|)) (and (= A__questionmark_v0 (|tptp.'append$h'| A__questionmark_v2 (|tptp.'cons$h'| A__questionmark_v3 A__questionmark_v4))) (|tptp.'fun_app$c'| A__questionmark_v1 A__questionmark_v3))))) (forall ((A__questionmark_v0 |tptp.'A_ltln_list_a_ltln_list_prod_list_list$'|) (A__questionmark_v1 |tptp.'A_ltln_list_a_ltln_list_prod_list_bool_fun$'|)) (=> (exists ((A__questionmark_v2 |tptp.'A_ltln_list_a_ltln_list_prod_list$'|)) (and (|tptp.'member$a'| A__questionmark_v2 (|tptp.'set$a'| A__questionmark_v0)) (|tptp.'fun_app$a'| A__questionmark_v1 A__questionmark_v2))) (exists ((A__questionmark_v2 |tptp.'A_ltln_list_a_ltln_list_prod_list_list$'|) (A__questionmark_v3 |tptp.'A_ltln_list_a_ltln_list_prod_list$'|) (A__questionmark_v4 |tptp.'A_ltln_list_a_ltln_list_prod_list_list$'|)) (and (= A__questionmark_v0 (|tptp.'fun_app$ae'| (|tptp.'append$a'| A__questionmark_v2) (|tptp.'cons$d'| A__questionmark_v3 A__questionmark_v4))) (|tptp.'fun_app$a'| A__questionmark_v1 A__questionmark_v3))))) (forall ((A__questionmark_v0 |tptp.'A_ltln_list_list$'|) (A__questionmark_v1 |tptp.'A_ltln_list_bool_fun$'|)) (=> (exists ((A__questionmark_v2 |tptp.'A_ltln_list$'|)) (and (|tptp.'member$b'| A__questionmark_v2 (|tptp.'set$b'| A__questionmark_v0)) (|tptp.'fun_app$b'| A__questionmark_v1 A__questionmark_v2))) (exists ((A__questionmark_v2 |tptp.'A_ltln_list_list$'|) (A__questionmark_v3 |tptp.'A_ltln_list$'|) (A__questionmark_v4 |tptp.'A_ltln_list_list$'|)) (and (= A__questionmark_v0 (|tptp.'fun_app$af'| (|tptp.'append$b'| A__questionmark_v2) (|tptp.'cons$c'| A__questionmark_v3 A__questionmark_v4))) (|tptp.'fun_app$b'| A__questionmark_v1 A__questionmark_v3))))) (forall ((A__questionmark_v0 |tptp.'A_ltln_list_a_ltln_list_prod_list$'|) (A__questionmark_v1 |tptp.'A_ltln_list_a_ltln_list_prod_bool_fun$'|)) (=> (exists ((A__questionmark_v2 |tptp.'A_ltln_list_a_ltln_list_prod$'|)) (and (|tptp.'member$'| A__questionmark_v2 (|tptp.'set$c'| A__questionmark_v0)) (|tptp.'fun_app$'| A__questionmark_v1 A__questionmark_v2))) (exists ((A__questionmark_v2 |tptp.'A_ltln_list_a_ltln_list_prod_list$'|) (A__questionmark_v3 |tptp.'A_ltln_list_a_ltln_list_prod$'|) (A__questionmark_v4 |tptp.'A_ltln_list_a_ltln_list_prod_list$'|)) (and (= A__questionmark_v0 (|tptp.'fun_app$r'| (|tptp.'fun_app$aw'| |tptp.'append$'| A__questionmark_v2) (|tptp.'fun_app$r'| (|tptp.'fun_app$s'| |tptp.'cons$e'| A__questionmark_v3) A__questionmark_v4))) (|tptp.'fun_app$'| A__questionmark_v1 A__questionmark_v3))))) (forall ((A__questionmark_v0 |tptp.'A_ltln_list$'|) (A__questionmark_v1 |tptp.'A_ltln_bool_fun$'|)) (=> (exists ((A__questionmark_v2 |tptp.'A_ltln$'|)) (and (|tptp.'member$l'| A__questionmark_v2 (|tptp.'set$d'| A__questionmark_v0)) (|tptp.'fun_app$o'| A__questionmark_v1 A__questionmark_v2))) (exists ((A__questionmark_v2 |tptp.'A_ltln_list$'|) (A__questionmark_v3 |tptp.'A_ltln$'|) (A__questionmark_v4 |tptp.'A_ltln_list$'|)) (and (= A__questionmark_v0 (|tptp.'fun_app$t'| (|tptp.'append$d'| A__questionmark_v2) (|tptp.'fun_app$t'| (|tptp.'cons$f'| A__questionmark_v3) A__questionmark_v4))) (|tptp.'fun_app$o'| A__questionmark_v1 A__questionmark_v3))))) (forall ((A__questionmark_v0 |tptp.'Nat$'|) (A__questionmark_v1 |tptp.'Nat_list$'|)) (=> (|tptp.'member$c'| A__questionmark_v0 (|tptp.'set$'| A__questionmark_v1)) (exists ((A__questionmark_v2 |tptp.'Nat_list$'|) (A__questionmark_v3 |tptp.'Nat_list$'|)) (and (= A__questionmark_v1 (|tptp.'append$h'| A__questionmark_v2 (|tptp.'cons$h'| A__questionmark_v0 A__questionmark_v3))) (not (|tptp.'member$c'| A__questionmark_v0 (|tptp.'set$'| A__questionmark_v3))))))) (forall ((A__questionmark_v0 |tptp.'A_ltln_list_a_ltln_list_prod_list$'|) (A__questionmark_v1 |tptp.'A_ltln_list_a_ltln_list_prod_list_list$'|)) (=> (|tptp.'member$a'| A__questionmark_v0 (|tptp.'set$a'| A__questionmark_v1)) (exists ((A__questionmark_v2 |tptp.'A_ltln_list_a_ltln_list_prod_list_list$'|) (A__questionmark_v3 |tptp.'A_ltln_list_a_ltln_list_prod_list_list$'|)) (and (= A__questionmark_v1 (|tptp.'fun_app$ae'| (|tptp.'append$a'| A__questionmark_v2) (|tptp.'cons$d'| A__questionmark_v0 A__questionmark_v3))) (not (|tptp.'member$a'| A__questionmark_v0 (|tptp.'set$a'| A__questionmark_v3))))))) (forall ((A__questionmark_v0 |tptp.'A_ltln_list$'|) (A__questionmark_v1 |tptp.'A_ltln_list_list$'|)) (=> (|tptp.'member$b'| A__questionmark_v0 (|tptp.'set$b'| A__questionmark_v1)) (exists ((A__questionmark_v2 |tptp.'A_ltln_list_list$'|) (A__questionmark_v3 |tptp.'A_ltln_list_list$'|)) (and (= A__questionmark_v1 (|tptp.'fun_app$af'| (|tptp.'append$b'| A__questionmark_v2) (|tptp.'cons$c'| A__questionmark_v0 A__questionmark_v3))) (not (|tptp.'member$b'| A__questionmark_v0 (|tptp.'set$b'| A__questionmark_v3))))))) (forall ((A__questionmark_v0 |tptp.'A_ltln_list_a_ltln_list_prod$'|) (A__questionmark_v1 |tptp.'A_ltln_list_a_ltln_list_prod_list$'|)) (=> (|tptp.'member$'| A__questionmark_v0 (|tptp.'set$c'| A__questionmark_v1)) (exists ((A__questionmark_v2 |tptp.'A_ltln_list_a_ltln_list_prod_list$'|) (A__questionmark_v3 |tptp.'A_ltln_list_a_ltln_list_prod_list$'|)) (and (= A__questionmark_v1 (|tptp.'fun_app$r'| (|tptp.'fun_app$aw'| |tptp.'append$'| A__questionmark_v2) (|tptp.'fun_app$r'| (|tptp.'fun_app$s'| |tptp.'cons$e'| A__questionmark_v0) A__questionmark_v3))) (not (|tptp.'member$'| A__questionmark_v0 (|tptp.'set$c'| A__questionmark_v3))))))) (forall ((A__questionmark_v0 |tptp.'A_ltln$'|) (A__questionmark_v1 |tptp.'A_ltln_list$'|)) (=> (|tptp.'member$l'| A__questionmark_v0 (|tptp.'set$d'| A__questionmark_v1)) (exists ((A__questionmark_v2 |tptp.'A_ltln_list$'|) (A__questionmark_v3 |tptp.'A_ltln_list$'|)) (and (= A__questionmark_v1 (|tptp.'fun_app$t'| (|tptp.'append$d'| A__questionmark_v2) (|tptp.'fun_app$t'| (|tptp.'cons$f'| A__questionmark_v0) A__questionmark_v3))) (not (|tptp.'member$l'| A__questionmark_v0 (|tptp.'set$d'| A__questionmark_v3))))))) (forall ((A__questionmark_v0 |tptp.'Nat$'|) (A__questionmark_v1 |tptp.'Nat_list$'|)) (=> (|tptp.'member$c'| A__questionmark_v0 (|tptp.'set$'| A__questionmark_v1)) (exists ((A__questionmark_v2 |tptp.'Nat_list$'|) (A__questionmark_v3 |tptp.'Nat_list$'|)) (= A__questionmark_v1 (|tptp.'append$h'| A__questionmark_v2 (|tptp.'cons$h'| A__questionmark_v0 A__questionmark_v3)))))) (forall ((A__questionmark_v0 |tptp.'A_ltln_list_a_ltln_list_prod_list$'|) (A__questionmark_v1 |tptp.'A_ltln_list_a_ltln_list_prod_list_list$'|)) (=> (|tptp.'member$a'| A__questionmark_v0 (|tptp.'set$a'| A__questionmark_v1)) (exists ((A__questionmark_v2 |tptp.'A_ltln_list_a_ltln_list_prod_list_list$'|) (A__questionmark_v3 |tptp.'A_ltln_list_a_ltln_list_prod_list_list$'|)) (= A__questionmark_v1 (|tptp.'fun_app$ae'| (|tptp.'append$a'| A__questionmark_v2) (|tptp.'cons$d'| A__questionmark_v0 A__questionmark_v3)))))) (forall ((A__questionmark_v0 |tptp.'A_ltln_list$'|) (A__questionmark_v1 |tptp.'A_ltln_list_list$'|)) (=> (|tptp.'member$b'| A__questionmark_v0 (|tptp.'set$b'| A__questionmark_v1)) (exists ((A__questionmark_v2 |tptp.'A_ltln_list_list$'|) (A__questionmark_v3 |tptp.'A_ltln_list_list$'|)) (= A__questionmark_v1 (|tptp.'fun_app$af'| (|tptp.'append$b'| A__questionmark_v2) (|tptp.'cons$c'| A__questionmark_v0 A__questionmark_v3)))))) (forall ((A__questionmark_v0 |tptp.'A_ltln_list_a_ltln_list_prod$'|) (A__questionmark_v1 |tptp.'A_ltln_list_a_ltln_list_prod_list$'|)) (=> (|tptp.'member$'| A__questionmark_v0 (|tptp.'set$c'| A__questionmark_v1)) (exists ((A__questionmark_v2 |tptp.'A_ltln_list_a_ltln_list_prod_list$'|) (A__questionmark_v3 |tptp.'A_ltln_list_a_ltln_list_prod_list$'|)) (= A__questionmark_v1 (|tptp.'fun_app$r'| (|tptp.'fun_app$aw'| |tptp.'append$'| A__questionmark_v2) (|tptp.'fun_app$r'| (|tptp.'fun_app$s'| |tptp.'cons$e'| A__questionmark_v0) A__questionmark_v3)))))) (forall ((A__questionmark_v0 |tptp.'A_ltln$'|) (A__questionmark_v1 |tptp.'A_ltln_list$'|)) (=> (|tptp.'member$l'| A__questionmark_v0 (|tptp.'set$d'| A__questionmark_v1)) (exists ((A__questionmark_v2 |tptp.'A_ltln_list$'|) (A__questionmark_v3 |tptp.'A_ltln_list$'|)) (= A__questionmark_v1 (|tptp.'fun_app$t'| (|tptp.'append$d'| A__questionmark_v2) (|tptp.'fun_app$t'| (|tptp.'cons$f'| A__questionmark_v0) A__questionmark_v3)))))) (forall ((A__questionmark_v0 |tptp.'A_ltln_list_a_ltln_list_prod_list$'|) (A__questionmark_v1 |tptp.'A_ltln_list_a_ltln_list_prod_list$'|) (A__questionmark_v2 |tptp.'A_ltln_list_a_ltln_list_prod_list$'|) (A__questionmark_v3 |tptp.'A_ltln_list_a_ltln_list_prod_list$'|)) (= (= (|tptp.'fun_app$r'| (|tptp.'fun_app$aw'| |tptp.'append$'| A__questionmark_v0) A__questionmark_v1) (|tptp.'fun_app$r'| (|tptp.'fun_app$aw'| |tptp.'append$'| A__questionmark_v2) A__questionmark_v3)) (exists ((A__questionmark_v4 |tptp.'A_ltln_list_a_ltln_list_prod_list$'|)) (let ((_let_1 (|tptp.'fun_app$aw'| |tptp.'append$'| A__questionmark_v4))) (or (and (= A__questionmark_v0 (|tptp.'fun_app$r'| (|tptp.'fun_app$aw'| |tptp.'append$'| A__questionmark_v2) A__questionmark_v4)) (= (|tptp.'fun_app$r'| _let_1 A__questionmark_v1) A__questionmark_v3)) (and (= (|tptp.'fun_app$r'| (|tptp.'fun_app$aw'| |tptp.'append$'| A__questionmark_v0) A__questionmark_v4) A__questionmark_v2) (= A__questionmark_v1 (|tptp.'fun_app$r'| _let_1 A__questionmark_v3)))))))) (forall ((A__questionmark_v0 |tptp.'A_ltln_list_a_ltln_list_prod_list_list$'|) (A__questionmark_v1 |tptp.'A_ltln_list_a_ltln_list_prod_list_list$'|) (A__questionmark_v2 |tptp.'A_ltln_list_a_ltln_list_prod_list_list$'|) (A__questionmark_v3 |tptp.'A_ltln_list_a_ltln_list_prod_list_list$'|)) (= (= (|tptp.'fun_app$ae'| (|tptp.'append$a'| A__questionmark_v0) A__questionmark_v1) (|tptp.'fun_app$ae'| (|tptp.'append$a'| A__questionmark_v2) A__questionmark_v3)) (exists ((A__questionmark_v4 |tptp.'A_ltln_list_a_ltln_list_prod_list_list$'|)) (let ((_let_1 (|tptp.'append$a'| A__questionmark_v4))) (or (and (= A__questionmark_v0 (|tptp.'fun_app$ae'| (|tptp.'append$a'| A__questionmark_v2) A__questionmark_v4)) (= (|tptp.'fun_app$ae'| _let_1 A__questionmark_v1) A__questionmark_v3)) (and (= (|tptp.'fun_app$ae'| (|tptp.'append$a'| A__questionmark_v0) A__questionmark_v4) A__questionmark_v2) (= A__questionmark_v1 (|tptp.'fun_app$ae'| _let_1 A__questionmark_v3)))))))) (forall ((A__questionmark_v0 |tptp.'A_ltln_list_a_ltln_list_prod_list$'|) (A__questionmark_v1 |tptp.'A_ltln_list_a_ltln_list_prod_list$'|) (A__questionmark_v2 |tptp.'A_ltln_list_a_ltln_list_prod_list$'|) (A__questionmark_v3 |tptp.'A_ltln_list_a_ltln_list_prod_list$'|) (A__questionmark_v4 |tptp.'A_ltln_list_a_ltln_list_prod_list$'|)) (let ((_let_1 (|tptp.'fun_app$aw'| |tptp.'append$'| A__questionmark_v0))) (=> (and (= (|tptp.'fun_app$r'| _let_1 A__questionmark_v1) A__questionmark_v2) (= A__questionmark_v3 (|tptp.'fun_app$r'| (|tptp.'fun_app$aw'| |tptp.'append$'| A__questionmark_v1) A__questionmark_v4))) (= (|tptp.'fun_app$r'| _let_1 A__questionmark_v3) (|tptp.'fun_app$r'| (|tptp.'fun_app$aw'| |tptp.'append$'| A__questionmark_v2) A__questionmark_v4))))) (forall ((A__questionmark_v0 |tptp.'A_ltln_list_a_ltln_list_prod_list_list$'|) (A__questionmark_v1 |tptp.'A_ltln_list_a_ltln_list_prod_list_list$'|) (A__questionmark_v2 |tptp.'A_ltln_list_a_ltln_list_prod_list_list$'|) (A__questionmark_v3 |tptp.'A_ltln_list_a_ltln_list_prod_list_list$'|) (A__questionmark_v4 |tptp.'A_ltln_list_a_ltln_list_prod_list_list$'|)) (let ((_let_1 (|tptp.'append$a'| A__questionmark_v0))) (=> (and (= (|tptp.'fun_app$ae'| _let_1 A__questionmark_v1) A__questionmark_v2) (= A__questionmark_v3 (|tptp.'fun_app$ae'| (|tptp.'append$a'| A__questionmark_v1) A__questionmark_v4))) (= (|tptp.'fun_app$ae'| _let_1 A__questionmark_v3) (|tptp.'fun_app$ae'| (|tptp.'append$a'| A__questionmark_v2) A__questionmark_v4))))) (forall ((A__questionmark_v0 |tptp.'A_ltln_list_a_ltln_list_prod_list$'|) (A__questionmark_v1 |tptp.'A_ltln_list_a_ltln_list_prod_list_list$'|) (A__questionmark_v2 |tptp.'A_ltln_list_a_ltln_list_prod_list_list$'|)) (= (|tptp.'fun_app$ae'| (|tptp.'append$a'| (|tptp.'cons$d'| A__questionmark_v0 A__questionmark_v1)) A__questionmark_v2) (|tptp.'cons$d'| A__questionmark_v0 (|tptp.'fun_app$ae'| (|tptp.'append$a'| A__questionmark_v1) A__questionmark_v2)))) (forall ((A__questionmark_v0 |tptp.'A_ltln_list$'|) (A__questionmark_v1 |tptp.'A_ltln_list_list$'|) (A__questionmark_v2 |tptp.'A_ltln_list_list$'|)) (= (|tptp.'fun_app$af'| (|tptp.'append$b'| (|tptp.'cons$c'| A__questionmark_v0 A__questionmark_v1)) A__questionmark_v2) (|tptp.'cons$c'| A__questionmark_v0 (|tptp.'fun_app$af'| (|tptp.'append$b'| A__questionmark_v1) A__questionmark_v2)))) (forall ((A__questionmark_v0 |tptp.'A_ltln_list_a_ltln_list_prod$'|) (A__questionmark_v1 |tptp.'A_ltln_list_a_ltln_list_prod_list$'|) (A__questionmark_v2 |tptp.'A_ltln_list_a_ltln_list_prod_list$'|)) (let ((_let_1 (|tptp.'fun_app$s'| |tptp.'cons$e'| A__questionmark_v0))) (= (|tptp.'fun_app$r'| (|tptp.'fun_app$aw'| |tptp.'append$'| (|tptp.'fun_app$r'| _let_1 A__questionmark_v1)) A__questionmark_v2) (|tptp.'fun_app$r'| _let_1 (|tptp.'fun_app$r'| (|tptp.'fun_app$aw'| |tptp.'append$'| A__questionmark_v1) A__questionmark_v2))))) (forall ((A__questionmark_v0 |tptp.'A_ltln$'|) (A__questionmark_v1 |tptp.'A_ltln_list$'|) (A__questionmark_v2 |tptp.'A_ltln_list$'|)) (let ((_let_1 (|tptp.'cons$f'| A__questionmark_v0))) (= (|tptp.'fun_app$t'| (|tptp.'append$d'| (|tptp.'fun_app$t'| _let_1 A__questionmark_v1)) A__questionmark_v2) (|tptp.'fun_app$t'| _let_1 (|tptp.'fun_app$t'| (|tptp.'append$d'| A__questionmark_v1) A__questionmark_v2))))) (forall ((A__questionmark_v0 |tptp.'A_ltln_list_a_ltln_list_prod_list$'|) (A__questionmark_v1 |tptp.'A_ltln_list_a_ltln_list_prod_list_list$'|) (A__questionmark_v2 |tptp.'A_ltln_list_a_ltln_list_prod_list_list$'|) (A__questionmark_v3 |tptp.'A_ltln_list_a_ltln_list_prod_list_list$'|) (A__questionmark_v4 |tptp.'A_ltln_list_a_ltln_list_prod_list_list$'|)) (=> (and (= (|tptp.'cons$d'| A__questionmark_v0 A__questionmark_v1) A__questionmark_v2) (= A__questionmark_v3 (|tptp.'fun_app$ae'| (|tptp.'append$a'| A__questionmark_v1) A__questionmark_v4))) (= (|tptp.'cons$d'| A__questionmark_v0 A__questionmark_v3) (|tptp.'fun_app$ae'| (|tptp.'append$a'| A__questionmark_v2) A__questionmark_v4)))) (forall ((A__questionmark_v0 |tptp.'A_ltln_list$'|) (A__questionmark_v1 |tptp.'A_ltln_list_list$'|) (A__questionmark_v2 |tptp.'A_ltln_list_list$'|) (A__questionmark_v3 |tptp.'A_ltln_list_list$'|) (A__questionmark_v4 |tptp.'A_ltln_list_list$'|)) (=> (and (= (|tptp.'cons$c'| A__questionmark_v0 A__questionmark_v1) A__questionmark_v2) (= A__questionmark_v3 (|tptp.'fun_app$af'| (|tptp.'append$b'| A__questionmark_v1) A__questionmark_v4))) (= (|tptp.'cons$c'| A__questionmark_v0 A__questionmark_v3) (|tptp.'fun_app$af'| (|tptp.'append$b'| A__questionmark_v2) A__questionmark_v4)))) (forall ((A__questionmark_v0 |tptp.'A_ltln_list_a_ltln_list_prod$'|) (A__questionmark_v1 |tptp.'A_ltln_list_a_ltln_list_prod_list$'|) (A__questionmark_v2 |tptp.'A_ltln_list_a_ltln_list_prod_list$'|) (A__questionmark_v3 |tptp.'A_ltln_list_a_ltln_list_prod_list$'|) (A__questionmark_v4 |tptp.'A_ltln_list_a_ltln_list_prod_list$'|)) (let ((_let_1 (|tptp.'fun_app$s'| |tptp.'cons$e'| A__questionmark_v0))) (=> (and (= (|tptp.'fun_app$r'| _let_1 A__questionmark_v1) A__questionmark_v2) (= A__questionmark_v3 (|tptp.'fun_app$r'| (|tptp.'fun_app$aw'| |tptp.'append$'| A__questionmark_v1) A__questionmark_v4))) (= (|tptp.'fun_app$r'| _let_1 A__questionmark_v3) (|tptp.'fun_app$r'| (|tptp.'fun_app$aw'| |tptp.'append$'| A__questionmark_v2) A__questionmark_v4))))) (forall ((A__questionmark_v0 |tptp.'A_ltln$'|) (A__questionmark_v1 |tptp.'A_ltln_list$'|) (A__questionmark_v2 |tptp.'A_ltln_list$'|) (A__questionmark_v3 |tptp.'A_ltln_list$'|) (A__questionmark_v4 |tptp.'A_ltln_list$'|)) (let ((_let_1 (|tptp.'cons$f'| A__questionmark_v0))) (=> (and (= (|tptp.'fun_app$t'| _let_1 A__questionmark_v1) A__questionmark_v2) (= A__questionmark_v3 (|tptp.'fun_app$t'| (|tptp.'append$d'| A__questionmark_v1) A__questionmark_v4))) (= (|tptp.'fun_app$t'| _let_1 A__questionmark_v3) (|tptp.'fun_app$t'| (|tptp.'append$d'| A__questionmark_v2) A__questionmark_v4))))) (forall ((A__questionmark_v0 |tptp.'A_ltln_list_list$'|) (A__questionmark_v1 |tptp.'A_ltln_list_list$'|)) (=> (= A__questionmark_v0 A__questionmark_v1) (= A__questionmark_v0 (|tptp.'fun_app$af'| (|tptp.'append$b'| |tptp.'nil$b'|) A__questionmark_v1)))) (forall ((A__questionmark_v0 |tptp.'A_ltln_list_a_ltln_list_prod_a_ltln_list_a_ltln_list_prod_prod_list$'|) (A__questionmark_v1 |tptp.'A_ltln_list_a_ltln_list_prod_a_ltln_list_a_ltln_list_prod_prod_list$'|)) (=> (= A__questionmark_v0 A__questionmark_v1) (= A__questionmark_v0 (|tptp.'fun_app$ad'| (|tptp.'append$c'| |tptp.'nil$c'|) A__questionmark_v1)))) (forall ((A__questionmark_v0 |tptp.'A_ltln_list_a_ltln_list_prod_list_list$'|) (A__questionmark_v1 |tptp.'A_ltln_list_a_ltln_list_prod_list_list$'|)) (=> (= A__questionmark_v0 A__questionmark_v1) (= A__questionmark_v0 (|tptp.'fun_app$ae'| (|tptp.'append$a'| |tptp.'nil$a'|) A__questionmark_v1)))) (forall ((A__questionmark_v0 |tptp.'A_ltln_list$'|) (A__questionmark_v1 |tptp.'A_ltln_list$'|)) (=> (= A__questionmark_v0 A__questionmark_v1) (= A__questionmark_v0 (|tptp.'fun_app$t'| (|tptp.'append$d'| |tptp.'nil$d'|) A__questionmark_v1)))) (forall ((A__questionmark_v0 |tptp.'A_ltln_list_a_ltln_list_prod_list$'|) (A__questionmark_v1 |tptp.'A_ltln_list_a_ltln_list_prod_list$'|)) (=> (= A__questionmark_v0 A__questionmark_v1) (= A__questionmark_v0 (|tptp.'fun_app$r'| (|tptp.'fun_app$aw'| |tptp.'append$'| |tptp.'nil$'|) A__questionmark_v1)))) (forall ((A__questionmark_v0 |tptp.'A_ltln_list_list$'|)) (= (|tptp.'fun_app$af'| (|tptp.'append$b'| |tptp.'nil$b'|) A__questionmark_v0) A__questionmark_v0)) (forall ((A__questionmark_v0 |tptp.'A_ltln_list_a_ltln_list_prod_a_ltln_list_a_ltln_list_prod_prod_list$'|)) (= (|tptp.'fun_app$ad'| (|tptp.'append$c'| |tptp.'nil$c'|) A__questionmark_v0) A__questionmark_v0)) (forall ((A__questionmark_v0 |tptp.'A_ltln_list_a_ltln_list_prod_list_list$'|)) (= (|tptp.'fun_app$ae'| (|tptp.'append$a'| |tptp.'nil$a'|) A__questionmark_v0) A__questionmark_v0)) (forall ((A__questionmark_v0 |tptp.'A_ltln_list$'|)) (= (|tptp.'fun_app$t'| (|tptp.'append$d'| |tptp.'nil$d'|) A__questionmark_v0) A__questionmark_v0)) (forall ((A__questionmark_v0 |tptp.'A_ltln_list_a_ltln_list_prod_list$'|)) (= (|tptp.'fun_app$r'| (|tptp.'fun_app$aw'| |tptp.'append$'| |tptp.'nil$'|) A__questionmark_v0) A__questionmark_v0)) (forall ((A__questionmark_v0 |tptp.'A_ltln_list_list$'|)) (= (|tptp.'fun_app$af'| (|tptp.'append$b'| |tptp.'nil$b'|) A__questionmark_v0) A__questionmark_v0)) (forall ((A__questionmark_v0 |tptp.'A_ltln_list_a_ltln_list_prod_a_ltln_list_a_ltln_list_prod_prod_list$'|)) (= (|tptp.'fun_app$ad'| (|tptp.'append$c'| |tptp.'nil$c'|) A__questionmark_v0) A__questionmark_v0)) (forall ((A__questionmark_v0 |tptp.'A_ltln_list_a_ltln_list_prod_list_list$'|)) (= (|tptp.'fun_app$ae'| (|tptp.'append$a'| |tptp.'nil$a'|) A__questionmark_v0) A__questionmark_v0)) (forall ((A__questionmark_v0 |tptp.'A_ltln_list$'|)) (= (|tptp.'fun_app$t'| (|tptp.'append$d'| |tptp.'nil$d'|) A__questionmark_v0) A__questionmark_v0)) (forall ((A__questionmark_v0 |tptp.'A_ltln_list_a_ltln_list_prod_list$'|)) (= (|tptp.'fun_app$r'| (|tptp.'fun_app$aw'| |tptp.'append$'| |tptp.'nil$'|) A__questionmark_v0) A__questionmark_v0)) (forall ((A__questionmark_v0 |tptp.'Nat$'|) (A__questionmark_v1 |tptp.'Nat_list$'|) (A__questionmark_v2 |tptp.'Nat$'|)) (=> (|tptp.'member$c'| A__questionmark_v0 (|tptp.'set$'| A__questionmark_v1)) (|tptp.'member$c'| A__questionmark_v0 (|tptp.'set$'| (|tptp.'cons$h'| A__questionmark_v2 A__questionmark_v1))))) (forall ((A__questionmark_v0 |tptp.'A_ltln_list_a_ltln_list_prod_list$'|) (A__questionmark_v1 |tptp.'A_ltln_list_a_ltln_list_prod_list_list$'|) (A__questionmark_v2 |tptp.'A_ltln_list_a_ltln_list_prod_list$'|)) (=> (|tptp.'member$a'| A__questionmark_v0 (|tptp.'set$a'| A__questionmark_v1)) (|tptp.'member$a'| A__questionmark_v0 (|tptp.'set$a'| (|tptp.'cons$d'| A__questionmark_v2 A__questionmark_v1))))) (forall ((A__questionmark_v0 |tptp.'A_ltln_list$'|) (A__questionmark_v1 |tptp.'A_ltln_list_list$'|) (A__questionmark_v2 |tptp.'A_ltln_list$'|)) (=> (|tptp.'member$b'| A__questionmark_v0 (|tptp.'set$b'| A__questionmark_v1)) (|tptp.'member$b'| A__questionmark_v0 (|tptp.'set$b'| (|tptp.'cons$c'| A__questionmark_v2 A__questionmark_v1))))) (forall ((A__questionmark_v0 |tptp.'A_ltln_list_a_ltln_list_prod$'|) (A__questionmark_v1 |tptp.'A_ltln_list_a_ltln_list_prod_list$'|) (A__questionmark_v2 |tptp.'A_ltln_list_a_ltln_list_prod$'|)) (=> (|tptp.'member$'| A__questionmark_v0 (|tptp.'set$c'| A__questionmark_v1)) (|tptp.'member$'| A__questionmark_v0 (|tptp.'set$c'| (|tptp.'fun_app$r'| (|tptp.'fun_app$s'| |tptp.'cons$e'| A__questionmark_v2) A__questionmark_v1))))) (forall ((A__questionmark_v0 |tptp.'A_ltln$'|) (A__questionmark_v1 |tptp.'A_ltln_list$'|) (A__questionmark_v2 |tptp.'A_ltln$'|)) (=> (|tptp.'member$l'| A__questionmark_v0 (|tptp.'set$d'| A__questionmark_v1)) (|tptp.'member$l'| A__questionmark_v0 (|tptp.'set$d'| (|tptp.'fun_app$t'| (|tptp.'cons$f'| A__questionmark_v2) A__questionmark_v1))))) (forall ((A__questionmark_v0 |tptp.'Nat$'|) (A__questionmark_v1 |tptp.'Nat_list$'|)) (|tptp.'member$c'| A__questionmark_v0 (|tptp.'set$'| (|tptp.'cons$h'| A__questionmark_v0 A__questionmark_v1)))) (forall ((A__questionmark_v0 |tptp.'A_ltln_list_a_ltln_list_prod_list$'|) (A__questionmark_v1 |tptp.'A_ltln_list_a_ltln_list_prod_list_list$'|)) (|tptp.'member$a'| A__questionmark_v0 (|tptp.'set$a'| (|tptp.'cons$d'| A__questionmark_v0 A__questionmark_v1)))) (forall ((A__questionmark_v0 |tptp.'A_ltln_list$'|) (A__questionmark_v1 |tptp.'A_ltln_list_list$'|)) (|tptp.'member$b'| A__questionmark_v0 (|tptp.'set$b'| (|tptp.'cons$c'| A__questionmark_v0 A__questionmark_v1)))) (forall ((A__questionmark_v0 |tptp.'A_ltln_list_a_ltln_list_prod$'|) (A__questionmark_v1 |tptp.'A_ltln_list_a_ltln_list_prod_list$'|)) (|tptp.'member$'| A__questionmark_v0 (|tptp.'set$c'| (|tptp.'fun_app$r'| (|tptp.'fun_app$s'| |tptp.'cons$e'| A__questionmark_v0) A__questionmark_v1)))) (forall ((A__questionmark_v0 |tptp.'A_ltln$'|) (A__questionmark_v1 |tptp.'A_ltln_list$'|)) (|tptp.'member$l'| A__questionmark_v0 (|tptp.'set$d'| (|tptp.'fun_app$t'| (|tptp.'cons$f'| A__questionmark_v0) A__questionmark_v1)))) (forall ((A__questionmark_v0 |tptp.'Nat$'|) (A__questionmark_v1 |tptp.'Nat_list$'|)) (=> (and (|tptp.'member$c'| A__questionmark_v0 (|tptp.'set$'| A__questionmark_v1)) (forall ((A__questionmark_v2 |tptp.'Nat_list$'|)) (=> (= A__questionmark_v1 (|tptp.'cons$h'| A__questionmark_v0 A__questionmark_v2)) false)) (forall ((A__questionmark_v2 |tptp.'Nat$'|) (A__questionmark_v3 |tptp.'Nat_list$'|)) (=> (and (= A__questionmark_v1 (|tptp.'cons$h'| A__questionmark_v2 A__questionmark_v3)) (|tptp.'member$c'| A__questionmark_v0 (|tptp.'set$'| A__questionmark_v3))) false))) false)) (forall ((A__questionmark_v0 |tptp.'A_ltln_list_a_ltln_list_prod_list$'|) (A__questionmark_v1 |tptp.'A_ltln_list_a_ltln_list_prod_list_list$'|)) (=> (and (|tptp.'member$a'| A__questionmark_v0 (|tptp.'set$a'| A__questionmark_v1)) (forall ((A__questionmark_v2 |tptp.'A_ltln_list_a_ltln_list_prod_list_list$'|)) (=> (= A__questionmark_v1 (|tptp.'cons$d'| A__questionmark_v0 A__questionmark_v2)) false)) (forall ((A__questionmark_v2 |tptp.'A_ltln_list_a_ltln_list_prod_list$'|) (A__questionmark_v3 |tptp.'A_ltln_list_a_ltln_list_prod_list_list$'|)) (=> (and (= A__questionmark_v1 (|tptp.'cons$d'| A__questionmark_v2 A__questionmark_v3)) (|tptp.'member$a'| A__questionmark_v0 (|tptp.'set$a'| A__questionmark_v3))) false))) false)) (forall ((A__questionmark_v0 |tptp.'A_ltln_list$'|) (A__questionmark_v1 |tptp.'A_ltln_list_list$'|)) (=> (and (|tptp.'member$b'| A__questionmark_v0 (|tptp.'set$b'| A__questionmark_v1)) (forall ((A__questionmark_v2 |tptp.'A_ltln_list_list$'|)) (=> (= A__questionmark_v1 (|tptp.'cons$c'| A__questionmark_v0 A__questionmark_v2)) false)) (forall ((A__questionmark_v2 |tptp.'A_ltln_list$'|) (A__questionmark_v3 |tptp.'A_ltln_list_list$'|)) (=> (and (= A__questionmark_v1 (|tptp.'cons$c'| A__questionmark_v2 A__questionmark_v3)) (|tptp.'member$b'| A__questionmark_v0 (|tptp.'set$b'| A__questionmark_v3))) false))) false)) (forall ((A__questionmark_v0 |tptp.'A_ltln_list_a_ltln_list_prod$'|) (A__questionmark_v1 |tptp.'A_ltln_list_a_ltln_list_prod_list$'|)) (=> (and (|tptp.'member$'| A__questionmark_v0 (|tptp.'set$c'| A__questionmark_v1)) (forall ((A__questionmark_v2 |tptp.'A_ltln_list_a_ltln_list_prod_list$'|)) (=> (= A__questionmark_v1 (|tptp.'fun_app$r'| (|tptp.'fun_app$s'| |tptp.'cons$e'| A__questionmark_v0) A__questionmark_v2)) false)) (forall ((A__questionmark_v2 |tptp.'A_ltln_list_a_ltln_list_prod$'|) (A__questionmark_v3 |tptp.'A_ltln_list_a_ltln_list_prod_list$'|)) (=> (and (= A__questionmark_v1 (|tptp.'fun_app$r'| (|tptp.'fun_app$s'| |tptp.'cons$e'| A__questionmark_v2) A__questionmark_v3)) (|tptp.'member$'| A__questionmark_v0 (|tptp.'set$c'| A__questionmark_v3))) false))) false)) (forall ((A__questionmark_v0 |tptp.'A_ltln$'|) (A__questionmark_v1 |tptp.'A_ltln_list$'|)) (=> (and (|tptp.'member$l'| A__questionmark_v0 (|tptp.'set$d'| A__questionmark_v1)) (forall ((A__questionmark_v2 |tptp.'A_ltln_list$'|)) (=> (= A__questionmark_v1 (|tptp.'fun_app$t'| (|tptp.'cons$f'| A__questionmark_v0) A__questionmark_v2)) false)) (forall ((A__questionmark_v2 |tptp.'A_ltln$'|) (A__questionmark_v3 |tptp.'A_ltln_list$'|)) (=> (and (= A__questionmark_v1 (|tptp.'fun_app$t'| (|tptp.'cons$f'| A__questionmark_v2) A__questionmark_v3)) (|tptp.'member$l'| A__questionmark_v0 (|tptp.'set$d'| A__questionmark_v3))) false))) false)) (forall ((A__questionmark_v0 |tptp.'Nat$'|) (A__questionmark_v1 |tptp.'Nat$'|) (A__questionmark_v2 |tptp.'Nat_list$'|)) (=> (|tptp.'member$c'| A__questionmark_v0 (|tptp.'set$'| (|tptp.'cons$h'| A__questionmark_v1 A__questionmark_v2))) (or (= A__questionmark_v0 A__questionmark_v1) (|tptp.'member$c'| A__questionmark_v0 (|tptp.'set$'| A__questionmark_v2))))) (forall ((A__questionmark_v0 |tptp.'A_ltln_list_a_ltln_list_prod_list$'|) (A__questionmark_v1 |tptp.'A_ltln_list_a_ltln_list_prod_list$'|) (A__questionmark_v2 |tptp.'A_ltln_list_a_ltln_list_prod_list_list$'|)) (=> (|tptp.'member$a'| A__questionmark_v0 (|tptp.'set$a'| (|tptp.'cons$d'| A__questionmark_v1 A__questionmark_v2))) (or (= A__questionmark_v0 A__questionmark_v1) (|tptp.'member$a'| A__questionmark_v0 (|tptp.'set$a'| A__questionmark_v2))))) (forall ((A__questionmark_v0 |tptp.'A_ltln_list$'|) (A__questionmark_v1 |tptp.'A_ltln_list$'|) (A__questionmark_v2 |tptp.'A_ltln_list_list$'|)) (=> (|tptp.'member$b'| A__questionmark_v0 (|tptp.'set$b'| (|tptp.'cons$c'| A__questionmark_v1 A__questionmark_v2))) (or (= A__questionmark_v0 A__questionmark_v1) (|tptp.'member$b'| A__questionmark_v0 (|tptp.'set$b'| A__questionmark_v2))))) (forall ((A__questionmark_v0 |tptp.'A_ltln_list_a_ltln_list_prod$'|) (A__questionmark_v1 |tptp.'A_ltln_list_a_ltln_list_prod$'|) (A__questionmark_v2 |tptp.'A_ltln_list_a_ltln_list_prod_list$'|)) (=> (|tptp.'member$'| A__questionmark_v0 (|tptp.'set$c'| (|tptp.'fun_app$r'| (|tptp.'fun_app$s'| |tptp.'cons$e'| A__questionmark_v1) A__questionmark_v2))) (or (= A__questionmark_v0 A__questionmark_v1) (|tptp.'member$'| A__questionmark_v0 (|tptp.'set$c'| A__questionmark_v2))))) (forall ((A__questionmark_v0 |tptp.'A_ltln$'|) (A__questionmark_v1 |tptp.'A_ltln$'|) (A__questionmark_v2 |tptp.'A_ltln_list$'|)) (=> (|tptp.'member$l'| A__questionmark_v0 (|tptp.'set$d'| (|tptp.'fun_app$t'| (|tptp.'cons$f'| A__questionmark_v1) A__questionmark_v2))) (or (= A__questionmark_v0 A__questionmark_v1) (|tptp.'member$l'| A__questionmark_v0 (|tptp.'set$d'| A__questionmark_v2))))) (forall ((A__questionmark_v0 |tptp.'A_ltln_list_a_ltln_list_prod_list_a_ltln_list_a_ltln_list_prod_list_bool_fun_fun$'|) (A__questionmark_v1 |tptp.'A_ltln_list_a_ltln_list_prod_list_list$'|) (A__questionmark_v2 |tptp.'A_ltln_list_a_ltln_list_prod_list_list$'|)) (|tptp.'fun_app$l'| (|tptp.'lexordp_eq$a'| A__questionmark_v0 A__questionmark_v1) (|tptp.'fun_app$ae'| (|tptp.'append$a'| A__questionmark_v1) A__questionmark_v2))) (forall ((A__questionmark_v0 |tptp.'A_ltln_list_a_ltln_list_prod_a_ltln_list_a_ltln_list_prod_bool_fun_fun$'|) (A__questionmark_v1 |tptp.'A_ltln_list_a_ltln_list_prod_list$'|) (A__questionmark_v2 |tptp.'A_ltln_list_a_ltln_list_prod_list$'|)) (|tptp.'fun_app$a'| (|tptp.'fun_app$u'| (|tptp.'lexordp_eq$d'| A__questionmark_v0) A__questionmark_v1) (|tptp.'fun_app$r'| (|tptp.'fun_app$aw'| |tptp.'append$'| A__questionmark_v1) A__questionmark_v2))) (forall ((A__questionmark_v0 |tptp.'A_ltln_list_a_ltln_list_prod_a_ltln_list_a_ltln_list_prod_prod_list$'|) (A__questionmark_v1 |tptp.'A_ltln_list_a_ltln_list_prod_a_ltln_list_a_ltln_list_prod_prod_list_list$'|) (A__questionmark_v2 |tptp.'A_ltln_list_a_ltln_list_prod_a_ltln_list_a_ltln_list_prod_prod_list$'|)) (= (= (|tptp.'prefixes$a'| A__questionmark_v0) (|tptp.'append$e'| A__questionmark_v1 (|tptp.'cons$a'| A__questionmark_v2 |tptp.'nil$n'|))) (and (or (and (= A__questionmark_v0 |tptp.'nil$c'|) (= A__questionmark_v1 |tptp.'nil$n'|)) (exists ((A__questionmark_v3 |tptp.'A_ltln_list_a_ltln_list_prod_a_ltln_list_a_ltln_list_prod_prod$'|) (A__questionmark_v4 |tptp.'A_ltln_list_a_ltln_list_prod_a_ltln_list_a_ltln_list_prod_prod_list$'|)) (and (= A__questionmark_v0 (|tptp.'fun_app$ad'| (|tptp.'append$c'| A__questionmark_v4) (|tptp.'cons$g'| A__questionmark_v3 |tptp.'nil$c'|))) (= A__questionmark_v1 (|tptp.'prefixes$a'| A__questionmark_v4))))) (= A__questionmark_v2 A__questionmark_v0)))) (forall ((A__questionmark_v0 |tptp.'A_ltln_list_a_ltln_list_prod_list_list$'|) (A__questionmark_v1 |tptp.'A_ltln_list_a_ltln_list_prod_list_list_list$'|) (A__questionmark_v2 |tptp.'A_ltln_list_a_ltln_list_prod_list_list$'|)) (= (= (|tptp.'prefixes$b'| A__questionmark_v0) (|tptp.'append$f'| A__questionmark_v1 (|tptp.'cons$b'| A__questionmark_v2 |tptp.'nil$o'|))) (and (or (and (= A__questionmark_v0 |tptp.'nil$a'|) (= A__questionmark_v1 |tptp.'nil$o'|)) (exists ((A__questionmark_v3 |tptp.'A_ltln_list_a_ltln_list_prod_list$'|) (A__questionmark_v4 |tptp.'A_ltln_list_a_ltln_list_prod_list_list$'|)) (and (= A__questionmark_v0 (|tptp.'fun_app$ae'| (|tptp.'append$a'| A__questionmark_v4) (|tptp.'cons$d'| A__questionmark_v3 |tptp.'nil$a'|))) (= A__questionmark_v1 (|tptp.'prefixes$b'| A__questionmark_v4))))) (= A__questionmark_v2 A__questionmark_v0)))) (forall ((A__questionmark_v0 |tptp.'A_ltln_list_list$'|) (A__questionmark_v1 |tptp.'A_ltln_list_list_list$'|) (A__questionmark_v2 |tptp.'A_ltln_list_list$'|)) (= (= (|tptp.'prefixes$'| A__questionmark_v0) (|tptp.'append$g'| A__questionmark_v1 (|tptp.'cons$'| A__questionmark_v2 |tptp.'nil$m'|))) (and (or (and (= A__questionmark_v0 |tptp.'nil$b'|) (= A__questionmark_v1 |tptp.'nil$m'|)) (exists ((A__questionmark_v3 |tptp.'A_ltln_list$'|) (A__questionmark_v4 |tptp.'A_ltln_list_list$'|)) (and (= A__questionmark_v0 (|tptp.'fun_app$af'| (|tptp.'append$b'| A__questionmark_v4) (|tptp.'cons$c'| A__questionmark_v3 |tptp.'nil$b'|))) (= A__questionmark_v1 (|tptp.'prefixes$'| A__questionmark_v4))))) (= A__questionmark_v2 A__questionmark_v0)))) (forall ((A__questionmark_v0 |tptp.'A_ltln_list$'|) (A__questionmark_v1 |tptp.'A_ltln_list_list$'|) (A__questionmark_v2 |tptp.'A_ltln_list$'|)) (= (= (|tptp.'fun_app$d'| |tptp.'prefixes$c'| A__questionmark_v0) (|tptp.'fun_app$af'| (|tptp.'append$b'| A__questionmark_v1) (|tptp.'cons$c'| A__questionmark_v2 |tptp.'nil$b'|))) (and (or (and (= A__questionmark_v0 |tptp.'nil$d'|) (= A__questionmark_v1 |tptp.'nil$b'|)) (exists ((A__questionmark_v3 |tptp.'A_ltln$'|) (A__questionmark_v4 |tptp.'A_ltln_list$'|)) (and (= A__questionmark_v0 (|tptp.'fun_app$t'| (|tptp.'append$d'| A__questionmark_v4) (|tptp.'fun_app$t'| (|tptp.'cons$f'| A__questionmark_v3) |tptp.'nil$d'|))) (= A__questionmark_v1 (|tptp.'fun_app$d'| |tptp.'prefixes$c'| A__questionmark_v4))))) (= A__questionmark_v2 A__questionmark_v0)))) (forall ((A__questionmark_v0 |tptp.'A_ltln_list_a_ltln_list_prod_list$'|) (A__questionmark_v1 |tptp.'A_ltln_list_a_ltln_list_prod_list_list$'|) (A__questionmark_v2 |tptp.'A_ltln_list_a_ltln_list_prod_list$'|)) (= (= (|tptp.'fun_app$f'| |tptp.'prefixes$d'| A__questionmark_v0) (|tptp.'fun_app$ae'| (|tptp.'append$a'| A__questionmark_v1) (|tptp.'cons$d'| A__questionmark_v2 |tptp.'nil$a'|))) (and (or (and (= A__questionmark_v0 |tptp.'nil$'|) (= A__questionmark_v1 |tptp.'nil$a'|)) (exists ((A__questionmark_v3 |tptp.'A_ltln_list_a_ltln_list_prod$'|) (A__questionmark_v4 |tptp.'A_ltln_list_a_ltln_list_prod_list$'|)) (and (= A__questionmark_v0 (|tptp.'fun_app$r'| (|tptp.'fun_app$aw'| |tptp.'append$'| A__questionmark_v4) (|tptp.'fun_app$r'| (|tptp.'fun_app$s'| |tptp.'cons$e'| A__questionmark_v3) |tptp.'nil$'|))) (= A__questionmark_v1 (|tptp.'fun_app$f'| |tptp.'prefixes$d'| A__questionmark_v4))))) (= A__questionmark_v2 A__questionmark_v0)))) (forall ((A__questionmark_v0 |tptp.'A_ltln_list_a_ltln_list_prod_list$'|)) (|tptp.'member$a'| A__questionmark_v0 (|tptp.'set$a'| (|tptp.'fun_app$f'| |tptp.'subseqs$a'| A__questionmark_v0)))) (forall ((A__questionmark_v0 |tptp.'A_ltln_list$'|)) (|tptp.'member$b'| A__questionmark_v0 (|tptp.'set$b'| (|tptp.'fun_app$d'| |tptp.'subseqs$'| A__questionmark_v0)))) (forall ((A__questionmark_v0 |tptp.'A_ltln_list$'|)) (not (= (|tptp.'fun_app$d'| |tptp.'prefixes$c'| A__questionmark_v0) |tptp.'nil$b'|))) (forall ((A__questionmark_v0 |tptp.'A_ltln_list_a_ltln_list_prod_list$'|)) (not (= (|tptp.'fun_app$f'| |tptp.'prefixes$d'| A__questionmark_v0) |tptp.'nil$a'|))) (forall ((A__questionmark_v0 |tptp.'A_ltln_list$'|)) (not (= (|tptp.'fun_app$d'| |tptp.'suffixes$c'| A__questionmark_v0) |tptp.'nil$b'|))) (forall ((A__questionmark_v0 |tptp.'A_ltln_list_a_ltln_list_prod_list$'|)) (not (= (|tptp.'fun_app$f'| |tptp.'suffixes$d'| A__questionmark_v0) |tptp.'nil$a'|))) (forall ((A__questionmark_v0 |tptp.'A_ltln_list_a_ltln_list_prod_list$'|) (A__questionmark_v1 |tptp.'A_ltln_list_a_ltln_list_prod_list$'|) (A__questionmark_v2 |tptp.'A_ltln_list_a_ltln_list_prod_a_ltln_list_a_ltln_list_prod_list_fun$'|) (A__questionmark_v3 |tptp.'A_ltln_list_a_ltln_list_prod_a_ltln_list_a_ltln_list_prod_list_fun$'|)) (=> (and (= A__questionmark_v0 A__questionmark_v1) (forall ((A__questionmark_v4 |tptp.'A_ltln_list_a_ltln_list_prod$'|)) (=> (|tptp.'member$'| A__questionmark_v4 (|tptp.'set$c'| A__questionmark_v0)) (= (|tptp.'fun_app$az'| A__questionmark_v2 A__questionmark_v4) (|tptp.'fun_app$az'| A__questionmark_v3 A__questionmark_v4))))) (= (|tptp.'bind$'| A__questionmark_v0 A__questionmark_v2) (|tptp.'bind$'| A__questionmark_v1 A__questionmark_v3)))) (forall ((A__questionmark_v0 |tptp.'A_ltln_list_a_ltln_list_prod_list$'|) (A__questionmark_v1 |tptp.'A_ltln_list_a_ltln_list_prod_list_list$'|)) (let ((_let_1 (|tptp.'cons$d'| A__questionmark_v0 A__questionmark_v1))) (= (|tptp.'suffixes$b'| _let_1) (|tptp.'append$f'| (|tptp.'suffixes$b'| A__questionmark_v1) (|tptp.'cons$b'| _let_1 |tptp.'nil$o'|))))) (forall ((A__questionmark_v0 |tptp.'A_ltln_list$'|) (A__questionmark_v1 |tptp.'A_ltln_list_list$'|)) (let ((_let_1 (|tptp.'cons$c'| A__questionmark_v0 A__questionmark_v1))) (= (|tptp.'suffixes$'| _let_1) (|tptp.'append$g'| (|tptp.'suffixes$'| A__questionmark_v1) (|tptp.'cons$'| _let_1 |tptp.'nil$m'|))))) (forall ((A__questionmark_v0 |tptp.'A_ltln$'|) (A__questionmark_v1 |tptp.'A_ltln_list$'|)) (let ((_let_1 (|tptp.'fun_app$t'| (|tptp.'cons$f'| A__questionmark_v0) A__questionmark_v1))) (= (|tptp.'fun_app$d'| |tptp.'suffixes$c'| _let_1) (|tptp.'fun_app$af'| (|tptp.'append$b'| (|tptp.'fun_app$d'| |tptp.'suffixes$c'| A__questionmark_v1)) (|tptp.'cons$c'| _let_1 |tptp.'nil$b'|))))) (forall ((A__questionmark_v0 |tptp.'A_ltln_list_a_ltln_list_prod$'|) (A__questionmark_v1 |tptp.'A_ltln_list_a_ltln_list_prod_list$'|)) (let ((_let_1 (|tptp.'fun_app$r'| (|tptp.'fun_app$s'| |tptp.'cons$e'| A__questionmark_v0) A__questionmark_v1))) (= (|tptp.'fun_app$f'| |tptp.'suffixes$d'| _let_1) (|tptp.'fun_app$ae'| (|tptp.'append$a'| (|tptp.'fun_app$f'| |tptp.'suffixes$d'| A__questionmark_v1)) (|tptp.'cons$d'| _let_1 |tptp.'nil$a'|))))) (forall ((A__questionmark_v0 |tptp.'A_ltln_list_a_ltln_list_prod_list$'|) (A__questionmark_v1 |tptp.'A_ltln_list_a_ltln_list_prod_list_list$'|) (A__questionmark_v2 |tptp.'A_ltln_list_a_ltln_list_prod_list_list$'|)) (= (|tptp.'fun_app$ae'| (|tptp.'splice$a'| (|tptp.'cons$d'| A__questionmark_v0 A__questionmark_v1)) A__questionmark_v2) (|tptp.'cons$d'| A__questionmark_v0 (|tptp.'fun_app$ae'| (|tptp.'splice$a'| A__questionmark_v2) A__questionmark_v1)))) (forall ((A__questionmark_v0 |tptp.'A_ltln_list$'|) (A__questionmark_v1 |tptp.'A_ltln_list_list$'|) (A__questionmark_v2 |tptp.'A_ltln_list_list$'|)) (= (|tptp.'fun_app$af'| (|tptp.'splice$b'| (|tptp.'cons$c'| A__questionmark_v0 A__questionmark_v1)) A__questionmark_v2) (|tptp.'cons$c'| A__questionmark_v0 (|tptp.'fun_app$af'| (|tptp.'splice$b'| A__questionmark_v2) A__questionmark_v1)))) (forall ((A__questionmark_v0 |tptp.'A_ltln_list_a_ltln_list_prod$'|) (A__questionmark_v1 |tptp.'A_ltln_list_a_ltln_list_prod_list$'|) (A__questionmark_v2 |tptp.'A_ltln_list_a_ltln_list_prod_list$'|)) (let ((_let_1 (|tptp.'fun_app$s'| |tptp.'cons$e'| A__questionmark_v0))) (= (|tptp.'fun_app$r'| (|tptp.'splice$d'| (|tptp.'fun_app$r'| _let_1 A__questionmark_v1)) A__questionmark_v2) (|tptp.'fun_app$r'| _let_1 (|tptp.'fun_app$r'| (|tptp.'splice$d'| A__questionmark_v2) A__questionmark_v1))))) (forall ((A__questionmark_v0 |tptp.'A_ltln$'|) (A__questionmark_v1 |tptp.'A_ltln_list$'|) (A__questionmark_v2 |tptp.'A_ltln_list$'|)) (let ((_let_1 (|tptp.'cons$f'| A__questionmark_v0))) (= (|tptp.'fun_app$t'| (|tptp.'splice$c'| (|tptp.'fun_app$t'| _let_1 A__questionmark_v1)) A__questionmark_v2) (|tptp.'fun_app$t'| _let_1 (|tptp.'fun_app$t'| (|tptp.'splice$c'| A__questionmark_v2) A__questionmark_v1))))) (forall ((A__questionmark_v0 |tptp.'A_ltln_list_a_ltln_list_prod_list_bool_fun$'|) (A__questionmark_v1 |tptp.'A_ltln_list_a_ltln_list_prod_list_list$'|)) (= (|tptp.'fun_app$l'| (|tptp.'list_ex1$b'| A__questionmark_v0) A__questionmark_v1) (exists ((A__questionmark_v2 |tptp.'A_ltln_list_a_ltln_list_prod_list$'|)) (and (|tptp.'member$a'| A__questionmark_v2 (|tptp.'set$a'| A__questionmark_v1)) (|tptp.'fun_app$a'| A__questionmark_v0 A__questionmark_v2) (forall ((A__questionmark_v3 |tptp.'A_ltln_list_a_ltln_list_prod_list$'|)) (=> (and (|tptp.'member$a'| A__questionmark_v3 (|tptp.'set$a'| A__questionmark_v1)) (|tptp.'fun_app$a'| A__questionmark_v0 A__questionmark_v3)) (= A__questionmark_v3 A__questionmark_v2))))))) (forall ((A__questionmark_v0 |tptp.'A_ltln_list_a_ltln_list_prod_bool_fun$'|) (A__questionmark_v1 |tptp.'A_ltln_list_a_ltln_list_prod_list$'|)) (= (|tptp.'fun_app$a'| (|tptp.'list_ex1$d'| A__questionmark_v0) A__questionmark_v1) (exists ((A__questionmark_v2 |tptp.'A_ltln_list_a_ltln_list_prod$'|)) (and (|tptp.'member$'| A__questionmark_v2 (|tptp.'set$c'| A__questionmark_v1)) (|tptp.'fun_app$'| A__questionmark_v0 A__questionmark_v2) (forall ((A__questionmark_v3 |tptp.'A_ltln_list_a_ltln_list_prod$'|)) (=> (and (|tptp.'member$'| A__questionmark_v3 (|tptp.'set$c'| A__questionmark_v1)) (|tptp.'fun_app$'| A__questionmark_v0 A__questionmark_v3)) (= A__questionmark_v3 A__questionmark_v2))))))) (forall ((A__questionmark_v0 |tptp.'A_ltln_list_a_ltln_list_prod_list$'|)) (= (|tptp.'fun_app$r'| (|tptp.'splice$d'| |tptp.'nil$'|) A__questionmark_v0) A__questionmark_v0)) (forall ((A__questionmark_v0 |tptp.'A_ltln_list_a_ltln_list_prod_list_bool_fun$'|) (A__questionmark_v1 |tptp.'A_ltln_list_a_ltln_list_prod_list$'|)) (=> (and (|tptp.'fun_app$a'| A__questionmark_v0 |tptp.'nil$'|) (forall ((A__questionmark_v2 |tptp.'A_ltln_list_a_ltln_list_prod$'|) (A__questionmark_v3 |tptp.'A_ltln_list_a_ltln_list_prod_list$'|)) (=> (|tptp.'fun_app$a'| A__questionmark_v0 A__questionmark_v3) (|tptp.'fun_app$a'| A__questionmark_v0 (|tptp.'fun_app$r'| (|tptp.'fun_app$aw'| |tptp.'append$'| A__questionmark_v3) (|tptp.'fun_app$r'| (|tptp.'fun_app$s'| |tptp.'cons$e'| A__questionmark_v2) |tptp.'nil$'|)))))) (|tptp.'fun_app$a'| A__questionmark_v0 A__questionmark_v1))) (forall ((A__questionmark_v0 |tptp.'A_ltln_list_a_ltln_list_prod_list$'|)) (=> (and (=> (= A__questionmark_v0 |tptp.'nil$'|) false) (forall ((A__questionmark_v1 |tptp.'A_ltln_list_a_ltln_list_prod_list$'|) (A__questionmark_v2 |tptp.'A_ltln_list_a_ltln_list_prod$'|)) (=> (= A__questionmark_v0 (|tptp.'fun_app$r'| (|tptp.'fun_app$aw'| |tptp.'append$'| A__questionmark_v1) (|tptp.'fun_app$r'| (|tptp.'fun_app$s'| |tptp.'cons$e'| A__questionmark_v2) |tptp.'nil$'|))) false))) false)) (forall ((A__questionmark_v0 |tptp.'A_ltln_list_a_ltln_list_prod$'|) (A__questionmark_v1 |tptp.'A_ltln_list_a_ltln_list_prod_list$'|) (A__questionmark_v2 |tptp.'A_ltln_list_a_ltln_list_prod_list$'|) (A__questionmark_v3 |tptp.'A_ltln_list_a_ltln_list_prod_list$'|)) (let ((_let_1 (|tptp.'fun_app$r'| (|tptp.'fun_app$s'| |tptp.'cons$e'| A__questionmark_v0) A__questionmark_v1))) (= (= _let_1 (|tptp.'fun_app$r'| (|tptp.'fun_app$aw'| |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_ltln_list_a_ltln_list_prod_list$'|)) (and (= (|tptp.'fun_app$r'| (|tptp.'fun_app$s'| |tptp.'cons$e'| A__questionmark_v0) A__questionmark_v4) A__questionmark_v2) (= A__questionmark_v1 (|tptp.'fun_app$r'| (|tptp.'fun_app$aw'| |tptp.'append$'| A__questionmark_v4) A__questionmark_v3)))))))) (forall ((A__questionmark_v0 |tptp.'A_ltln_list_a_ltln_list_prod_list$'|) (A__questionmark_v1 |tptp.'A_ltln_list_a_ltln_list_prod_list$'|) (A__questionmark_v2 |tptp.'A_ltln_list_a_ltln_list_prod$'|) (A__questionmark_v3 |tptp.'A_ltln_list_a_ltln_list_prod_list$'|)) (let ((_let_1 (|tptp.'fun_app$r'| (|tptp.'fun_app$s'| |tptp.'cons$e'| A__questionmark_v2) A__questionmark_v3))) (= (= (|tptp.'fun_app$r'| (|tptp.'fun_app$aw'| |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_ltln_list_a_ltln_list_prod_list$'|)) (and (= A__questionmark_v0 (|tptp.'fun_app$r'| (|tptp.'fun_app$s'| |tptp.'cons$e'| A__questionmark_v2) A__questionmark_v4)) (= (|tptp.'fun_app$r'| (|tptp.'fun_app$aw'| |tptp.'append$'| A__questionmark_v4) A__questionmark_v1) A__questionmark_v3))))))) (forall ((A__questionmark_v0 |tptp.'A_ltln_list_a_ltln_list_prod_list$'|) (A__questionmark_v1 |tptp.'A_ltln_list_a_ltln_list_prod_list_bool_fun$'|)) (=> (and (not (= A__questionmark_v0 |tptp.'nil$'|)) (forall ((A__questionmark_v2 |tptp.'A_ltln_list_a_ltln_list_prod$'|)) (|tptp.'fun_app$a'| A__questionmark_v1 (|tptp.'fun_app$r'| (|tptp.'fun_app$s'| |tptp.'cons$e'| A__questionmark_v2) |tptp.'nil$'|))) (forall ((A__questionmark_v2 |tptp.'A_ltln_list_a_ltln_list_prod$'|) (A__questionmark_v3 |tptp.'A_ltln_list_a_ltln_list_prod_list$'|)) (=> (and (not (= A__questionmark_v3 |tptp.'nil$'|)) (|tptp.'fun_app$a'| A__questionmark_v1 A__questionmark_v3)) (|tptp.'fun_app$a'| A__questionmark_v1 (|tptp.'fun_app$r'| (|tptp.'fun_app$aw'| |tptp.'append$'| A__questionmark_v3) (|tptp.'fun_app$r'| (|tptp.'fun_app$s'| |tptp.'cons$e'| A__questionmark_v2) |tptp.'nil$'|)))))) (|tptp.'fun_app$a'| A__questionmark_v1 A__questionmark_v0))) (forall ((A__questionmark_v0 |tptp.'A_ltln_list_a_ltln_list_prod_list_set$'|)) (=> (|tptp.'member$a'| |tptp.'nil$'| A__questionmark_v0) (= (|tptp.'longest_common_prefix$d'| A__questionmark_v0) |tptp.'nil$'|))) (forall ((A__questionmark_v0 |tptp.'A_ltln_list_a_ltln_list_prod_list$'|)) (= (|tptp.'fun_app$r'| (|tptp.'longest_common_prefix$i'| |tptp.'nil$'|) A__questionmark_v0) |tptp.'nil$'|)) (forall ((A__questionmark_v0 |tptp.'A_ltln_list_a_ltln_list_prod_list$'|)) (= (|tptp.'fun_app$r'| (|tptp.'longest_common_prefix$i'| A__questionmark_v0) |tptp.'nil$'|) |tptp.'nil$'|)) (forall ((A__questionmark_v0 |tptp.'A_ltln_list_a_ltln_list_prod_list$'|) (A__questionmark_v1 |tptp.'A_ltln_list_a_ltln_list_prod_list_list$'|) (A__questionmark_v2 |tptp.'A_ltln_list_a_ltln_list_prod_list$'|)) (= (= (|tptp.'fun_app$f'| |tptp.'suffixes$d'| A__questionmark_v0) (|tptp.'fun_app$ae'| (|tptp.'append$a'| A__questionmark_v1) (|tptp.'cons$d'| A__questionmark_v2 |tptp.'nil$a'|))) (and (or (and (= A__questionmark_v0 |tptp.'nil$'|) (= A__questionmark_v1 |tptp.'nil$a'|)) (exists ((A__questionmark_v3 |tptp.'A_ltln_list_a_ltln_list_prod$'|) (A__questionmark_v4 |tptp.'A_ltln_list_a_ltln_list_prod_list$'|)) (and (= A__questionmark_v0 (|tptp.'fun_app$r'| (|tptp.'fun_app$s'| |tptp.'cons$e'| A__questionmark_v3) A__questionmark_v4)) (= A__questionmark_v1 (|tptp.'fun_app$f'| |tptp.'suffixes$d'| A__questionmark_v4))))) (= A__questionmark_v2 A__questionmark_v0)))) (forall ((A__questionmark_v0 |tptp.'A_ltln$'|) (A__questionmark_v1 |tptp.'A_ltln_list$'|) (A__questionmark_v2 |tptp.'A_ltln_list$'|)) (let ((_let_1 (|tptp.'set$b'| (|tptp.'fun_app$d'| |tptp.'subseqs$'| A__questionmark_v2)))) (=> (|tptp.'member$b'| (|tptp.'fun_app$t'| (|tptp.'cons$f'| A__questionmark_v0) A__questionmark_v1) _let_1) (|tptp.'member$b'| A__questionmark_v1 _let_1)))) (forall ((A__questionmark_v0 |tptp.'A_ltln_list_a_ltln_list_prod$'|)) (= (|tptp.'the_elem$'| (|tptp.'set$c'| (|tptp.'fun_app$r'| (|tptp.'fun_app$s'| |tptp.'cons$e'| A__questionmark_v0) |tptp.'nil$'|))) A__questionmark_v0)) (forall ((A__questionmark_v0 |tptp.'A_ltln_list_a_ltln_list_prod$'|) (A__questionmark_v1 |tptp.'A_ltln_list_a_ltln_list_prod_list$'|)) (let ((_let_1 (|tptp.'fun_app$s'| |tptp.'cons$e'| A__questionmark_v0))) (= (|tptp.'fun_app$r'| |tptp.'rotate1$'| (|tptp.'fun_app$r'| _let_1 A__questionmark_v1)) (|tptp.'fun_app$r'| (|tptp.'fun_app$aw'| |tptp.'append$'| A__questionmark_v1) (|tptp.'fun_app$r'| _let_1 |tptp.'nil$'|))))) (forall ((A__questionmark_v0 |tptp.'A_ltln_list_a_ltln_list_prod_list_list$'|) (A__questionmark_v1 |tptp.'A_ltln_list_a_ltln_list_prod_list$'|) (A__questionmark_v2 |tptp.'A_ltln_list_a_ltln_list_prod_list$'|)) (let ((_let_1 (= A__questionmark_v0 |tptp.'nil$a'|))) (= (= (|tptp.'concat$'| A__questionmark_v0) (|tptp.'fun_app$r'| (|tptp.'fun_app$aw'| |tptp.'append$'| A__questionmark_v1) A__questionmark_v2)) (and (=> _let_1 (and (= A__questionmark_v1 |tptp.'nil$'|) (= A__questionmark_v2 |tptp.'nil$'|))) (=> (not _let_1) (exists ((A__questionmark_v3 |tptp.'A_ltln_list_a_ltln_list_prod_list_list$'|) (A__questionmark_v4 |tptp.'A_ltln_list_a_ltln_list_prod_list$'|) (A__questionmark_v5 |tptp.'A_ltln_list_a_ltln_list_prod_list$'|) (A__questionmark_v6 |tptp.'A_ltln_list_a_ltln_list_prod_list_list$'|)) (and (= A__questionmark_v0 (|tptp.'fun_app$ae'| (|tptp.'append$a'| A__questionmark_v3) (|tptp.'cons$d'| (|tptp.'fun_app$r'| (|tptp.'fun_app$aw'| |tptp.'append$'| A__questionmark_v4) A__questionmark_v5) A__questionmark_v6))) (= A__questionmark_v1 (|tptp.'fun_app$r'| (|tptp.'fun_app$aw'| |tptp.'append$'| (|tptp.'concat$'| A__questionmark_v3)) A__questionmark_v4)) (= A__questionmark_v2 (|tptp.'fun_app$r'| (|tptp.'fun_app$aw'| |tptp.'append$'| A__questionmark_v5) (|tptp.'concat$'| A__questionmark_v6)))))))))) (forall ((A__questionmark_v0 |tptp.'A_ltln_list_a_ltln_list_prod_list$'|) (A__questionmark_v1 |tptp.'A_ltln_list_a_ltln_list_prod$'|)) (= (|tptp.'fun_app$r'| |tptp.'butlast$'| (|tptp.'fun_app$r'| (|tptp.'fun_app$aw'| |tptp.'append$'| A__questionmark_v0) (|tptp.'fun_app$r'| (|tptp.'fun_app$s'| |tptp.'cons$e'| A__questionmark_v1) |tptp.'nil$'|))) A__questionmark_v0)) (forall ((A__questionmark_v0 |tptp.'A_ltln_list_a_ltln_list_prod_list$'|) (A__questionmark_v1 |tptp.'A_ltln_list_a_ltln_list_prod$'|)) (= (|tptp.'last$'| (|tptp.'fun_app$r'| (|tptp.'fun_app$aw'| |tptp.'append$'| A__questionmark_v0) (|tptp.'fun_app$r'| (|tptp.'fun_app$s'| |tptp.'cons$e'| A__questionmark_v1) |tptp.'nil$'|))) A__questionmark_v1)) (forall ((A__questionmark_v0 |tptp.'A_ltln_list_a_ltln_list_prod$'|) (A__questionmark_v1 |tptp.'A_ltln_list_a_ltln_list_prod_list$'|)) (let ((_let_1 (|tptp.'fun_app$s'| |tptp.'cons$e'| A__questionmark_v0))) (= (|tptp.'fun_app$f'| |tptp.'prefixes$d'| (|tptp.'fun_app$r'| _let_1 A__questionmark_v1)) (|tptp.'cons$d'| |tptp.'nil$'| (|tptp.'map$'| _let_1 (|tptp.'fun_app$f'| |tptp.'prefixes$d'| A__questionmark_v1)))))) (forall ((A__questionmark_v0 |tptp.'A_ltln_list_a_ltln_list_prod$'|) (A__questionmark_v1 |tptp.'A_ltln_list_a_ltln_list_prod_list_set$'|) (A__questionmark_v2 |tptp.'A_ltln_list_a_ltln_list_prod_list$'|)) (=> (|tptp.'member$'| A__questionmark_v0 (|tptp.'succ$'| A__questionmark_v1 A__questionmark_v2)) (|tptp.'member$a'| (|tptp.'fun_app$r'| (|tptp.'fun_app$aw'| |tptp.'append$'| A__questionmark_v2) (|tptp.'fun_app$r'| (|tptp.'fun_app$s'| |tptp.'cons$e'| A__questionmark_v0) |tptp.'nil$'|)) A__questionmark_v1))) (forall ((A__questionmark_v0 |tptp.'A_ltln_list_a_ltln_list_prod_a_ltln_list_a_ltln_list_prod_fun$'|) (A__questionmark_v1 |tptp.'A_ltln_list_a_ltln_list_prod_list$'|)) (= (= (|tptp.'fun_app$r'| (|tptp.'map$a'| A__questionmark_v0) A__questionmark_v1) |tptp.'nil$'|) (= A__questionmark_v1 |tptp.'nil$'|))) (forall ((A__questionmark_v0 |tptp.'A_ltln_list_a_ltln_list_prod_a_ltln_list_a_ltln_list_prod_fun$'|) (A__questionmark_v1 |tptp.'A_ltln_list_a_ltln_list_prod_list$'|)) (= (= |tptp.'nil$'| (|tptp.'fun_app$r'| (|tptp.'map$a'| A__questionmark_v0) A__questionmark_v1)) (= A__questionmark_v1 |tptp.'nil$'|))) (forall ((A__questionmark_v0 |tptp.'A_ltln_list_a_ltln_list_prod_a_ltln_list_a_ltln_list_prod_fun$'|) (A__questionmark_v1 |tptp.'A_ltln_list_a_ltln_list_prod_list$'|)) (= (= (|tptp.'fun_app$r'| (|tptp.'map$a'| A__questionmark_v0) A__questionmark_v1) |tptp.'nil$'|) (= A__questionmark_v1 |tptp.'nil$'|))) (forall ((A__questionmark_v0 |tptp.'A_ltln_list_a_ltln_list_prod_list$'|)) (= (= (|tptp.'fun_app$r'| |tptp.'rotate1$'| A__questionmark_v0) |tptp.'nil$'|) (= A__questionmark_v0 |tptp.'nil$'|))) (forall ((A__questionmark_v0 |tptp.'A_ltln_list_a_ltln_list_prod_list$'|) (A__questionmark_v1 |tptp.'A_ltln_list_a_ltln_list_prod_list$'|)) (=> (not (= A__questionmark_v0 |tptp.'nil$'|)) (= (|tptp.'last$'| (|tptp.'fun_app$r'| (|tptp.'fun_app$aw'| |tptp.'append$'| A__questionmark_v1) A__questionmark_v0)) (|tptp.'last$'| A__questionmark_v0)))) (forall ((A__questionmark_v0 |tptp.'A_ltln_list_a_ltln_list_prod_list$'|) (A__questionmark_v1 |tptp.'A_ltln_list_a_ltln_list_prod_list$'|)) (=> (= A__questionmark_v0 |tptp.'nil$'|) (= (|tptp.'last$'| (|tptp.'fun_app$r'| (|tptp.'fun_app$aw'| |tptp.'append$'| A__questionmark_v1) A__questionmark_v0)) (|tptp.'last$'| A__questionmark_v1)))) (forall ((A__questionmark_v0 |tptp.'A_ltln_list_a_ltln_list_prod_list_list$'|)) (= (= (|tptp.'concat$'| A__questionmark_v0) |tptp.'nil$'|) (forall ((A__questionmark_v1 |tptp.'A_ltln_list_a_ltln_list_prod_list$'|)) (=> (|tptp.'member$a'| A__questionmark_v1 (|tptp.'set$a'| A__questionmark_v0)) (= A__questionmark_v1 |tptp.'nil$'|))))) (forall ((A__questionmark_v0 |tptp.'A_ltln_list_a_ltln_list_prod_list_list$'|)) (= (= |tptp.'nil$'| (|tptp.'concat$'| A__questionmark_v0)) (forall ((A__questionmark_v1 |tptp.'A_ltln_list_a_ltln_list_prod_list$'|)) (=> (|tptp.'member$a'| A__questionmark_v1 (|tptp.'set$a'| A__questionmark_v0)) (= A__questionmark_v1 |tptp.'nil$'|))))) (forall ((A__questionmark_v0 |tptp.'A_ltln_list_a_ltln_list_prod_list$'|)) (=> (not (= A__questionmark_v0 |tptp.'nil$'|)) (= (|tptp.'fun_app$r'| (|tptp.'fun_app$aw'| |tptp.'append$'| (|tptp.'fun_app$r'| |tptp.'butlast$'| A__questionmark_v0)) (|tptp.'fun_app$r'| (|tptp.'fun_app$s'| |tptp.'cons$e'| (|tptp.'last$'| A__questionmark_v0)) |tptp.'nil$'|)) A__questionmark_v0))) (forall ((A__questionmark_v0 |tptp.'A_ltln_list_a_ltln_list_prod_a_ltln_list_a_ltln_list_prod_fun$'|)) (= (|tptp.'fun_app$r'| (|tptp.'map$a'| A__questionmark_v0) |tptp.'nil$'|) |tptp.'nil$'|)) (= (|tptp.'fun_app$r'| |tptp.'butlast$'| |tptp.'nil$'|) |tptp.'nil$'|) (forall ((A__questionmark_v0 |tptp.'A_ltln_list_a_ltln_list_prod_list$'|) (A__questionmark_v1 |tptp.'A_ltln_list_a_ltln_list_prod$'|) (A__questionmark_v2 |tptp.'A_ltln_list_a_ltln_list_prod_list$'|)) (= (= (|tptp.'fun_app$r'| (|tptp.'fun_app$aw'| |tptp.'append$'| A__questionmark_v0) (|tptp.'fun_app$r'| (|tptp.'fun_app$s'| |tptp.'cons$e'| A__questionmark_v1) |tptp.'nil$'|)) A__questionmark_v2) (and (not (= A__questionmark_v2 |tptp.'nil$'|)) (= (|tptp.'fun_app$r'| |tptp.'butlast$'| A__questionmark_v2) A__questionmark_v0) (= (|tptp.'last$'| A__questionmark_v2) A__questionmark_v1)))) (= (|tptp.'fun_app$r'| |tptp.'rotate1$'| |tptp.'nil$'|) |tptp.'nil$'|) (forall ((A__questionmark_v0 |tptp.'A_ltln_list_a_ltln_list_prod_list$'|) (A__questionmark_v1 |tptp.'A_ltln_list_a_ltln_list_prod$'|)) (=> (not (= A__questionmark_v0 |tptp.'nil$'|)) (= (|tptp.'last$'| (|tptp.'fun_app$r'| (|tptp.'fun_app$s'| |tptp.'cons$e'| A__questionmark_v1) A__questionmark_v0)) (|tptp.'last$'| A__questionmark_v0)))) (forall ((A__questionmark_v0 |tptp.'A_ltln_list_a_ltln_list_prod_list$'|) (A__questionmark_v1 |tptp.'A_ltln_list_a_ltln_list_prod$'|)) (=> (= A__questionmark_v0 |tptp.'nil$'|) (= (|tptp.'last$'| (|tptp.'fun_app$r'| (|tptp.'fun_app$s'| |tptp.'cons$e'| A__questionmark_v1) A__questionmark_v0)) A__questionmark_v1))) (forall ((A__questionmark_v0 |tptp.'A_ltln_list_a_ltln_list_prod$'|) (A__questionmark_v1 |tptp.'A_ltln_list_a_ltln_list_prod_list$'|)) (let ((_let_1 (|tptp.'last$'| (|tptp.'fun_app$r'| (|tptp.'fun_app$s'| |tptp.'cons$e'| 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))))))) (= (|tptp.'concat$'| |tptp.'nil$a'|) |tptp.'nil$'|) (forall ((A__questionmark_v0 |tptp.'A_ltln_list_a_ltln_list_prod_list$'|)) (=> (not (= A__questionmark_v0 |tptp.'nil$'|)) (|tptp.'member$'| (|tptp.'last$'| A__questionmark_v0) (|tptp.'set$c'| A__questionmark_v0)))) (forall ((A__questionmark_v0 |tptp.'A_ltln_list_a_ltln_list_prod_list$'|) (A__questionmark_v1 |tptp.'A_ltln_list_a_ltln_list_prod_list$'|)) (let ((_let_1 (|tptp.'last$'| (|tptp.'fun_app$r'| (|tptp.'fun_app$aw'| |tptp.'append$'| A__questionmark_v0) A__questionmark_v1)))) (let ((_let_2 (= A__questionmark_v1 |tptp.'nil$'|))) (and (=> _let_2 (= _let_1 (|tptp.'last$'| A__questionmark_v0))) (=> (not _let_2) (= _let_1 (|tptp.'last$'| A__questionmark_v1))))))) (forall ((A__questionmark_v0 |tptp.'A_ltln_list_a_ltln_list_prod_list$'|) (A__questionmark_v1 |tptp.'A_ltln_list_a_ltln_list_prod_list$'|)) (exists ((A__questionmark_v2 |tptp.'A_ltln_list_a_ltln_list_prod_list$'|) (A__questionmark_v3 |tptp.'A_ltln_list_a_ltln_list_prod_list$'|) (A__questionmark_v4 |tptp.'A_ltln_list_a_ltln_list_prod_list$'|)) (and (= A__questionmark_v0 (|tptp.'fun_app$r'| (|tptp.'fun_app$aw'| |tptp.'append$'| A__questionmark_v3) A__questionmark_v2)) (= A__questionmark_v1 (|tptp.'fun_app$r'| (|tptp.'fun_app$aw'| |tptp.'append$'| A__questionmark_v4) A__questionmark_v2)) (or (= A__questionmark_v3 |tptp.'nil$'|) (= A__questionmark_v4 |tptp.'nil$'|) (not (= (|tptp.'last$'| A__questionmark_v3) (|tptp.'last$'| A__questionmark_v4))))))) (forall ((A__questionmark_v0 |tptp.'A_ltln_list_a_ltln_list_prod$'|) (A__questionmark_v1 |tptp.'A_ltln_list_a_ltln_list_prod_list$'|)) (let ((_let_1 (|tptp.'fun_app$s'| |tptp.'cons$e'| A__questionmark_v0))) (let ((_let_2 (|tptp.'fun_app$r'| |tptp.'butlast$'| (|tptp.'fun_app$r'| _let_1 A__questionmark_v1)))) (let ((_let_3 (= A__questionmark_v1 |tptp.'nil$'|))) (and (=> _let_3 (= _let_2 |tptp.'nil$'|)) (=> (not _let_3) (= _let_2 (|tptp.'fun_app$r'| _let_1 (|tptp.'fun_app$r'| |tptp.'butlast$'| A__questionmark_v1))))))))) (forall ((A__questionmark_v0 |tptp.'A_ltln_list_a_ltln_list_prod_list$'|) (A__questionmark_v1 |tptp.'A_ltln_list_a_ltln_list_prod_list$'|)) (let ((_let_1 (|tptp.'fun_app$aw'| |tptp.'append$'| A__questionmark_v0))) (let ((_let_2 (|tptp.'fun_app$r'| |tptp.'butlast$'| (|tptp.'fun_app$r'| _let_1 A__questionmark_v1)))) (let ((_let_3 (= A__questionmark_v1 |tptp.'nil$'|))) (and (=> _let_3 (= _let_2 (|tptp.'fun_app$r'| |tptp.'butlast$'| A__questionmark_v0))) (=> (not _let_3) (= _let_2 (|tptp.'fun_app$r'| _let_1 (|tptp.'fun_app$r'| |tptp.'butlast$'| A__questionmark_v1))))))))) (forall ((A__questionmark_v0 |tptp.'A_ltln_list_a_ltln_list_prod_a_ltln_list_a_ltln_list_prod_list_fun$'|)) (= (|tptp.'fun_app$r'| (|tptp.'maps$'| A__questionmark_v0) |tptp.'nil$'|) |tptp.'nil$'|)) (forall ((A__questionmark_v0 |tptp.'A_ltln_list_a_ltln_list_prod_list$'|) (A__questionmark_v1 |tptp.'A_ltln_list_a_ltln_list_prod$'|) (A__questionmark_v2 |tptp.'A_ltln_list_a_ltln_list_prod_list_set$'|)) (=> (|tptp.'member$a'| (|tptp.'fun_app$r'| (|tptp.'fun_app$aw'| |tptp.'append$'| A__questionmark_v0) (|tptp.'fun_app$r'| (|tptp.'fun_app$s'| |tptp.'cons$e'| A__questionmark_v1) |tptp.'nil$'|)) A__questionmark_v2) (|tptp.'member$'| A__questionmark_v1 (|tptp.'succ$'| A__questionmark_v2 A__questionmark_v0)))) (forall ((A__questionmark_v0 |tptp.'A_ltln_list_a_ltln_list_prod_list_set$'|) (A__questionmark_v1 |tptp.'A_ltln_list_a_ltln_list_prod$'|)) (=> (and (|tptp.'member$a'| |tptp.'nil$'| A__questionmark_v0) (|tptp.'member$'| A__questionmark_v1 (|tptp.'succ$'| A__questionmark_v0 |tptp.'nil$'|))) (|tptp.'member$a'| |tptp.'nil$'| (|tptp.'shift$'| A__questionmark_v0 A__questionmark_v1)))) (forall ((A__questionmark_v0 |tptp.'A_ltln_list_a_ltln_list_prod_list_list$'|)) (= (= (|tptp.'transpose$'| A__questionmark_v0) |tptp.'nil$a'|) (forall ((A__questionmark_v1 |tptp.'A_ltln_list_a_ltln_list_prod_list$'|)) (=> (|tptp.'member$a'| A__questionmark_v1 (|tptp.'set$a'| A__questionmark_v0)) (= A__questionmark_v1 |tptp.'nil$'|))))) (forall ((A__questionmark_v0 |tptp.'A_ltln_list_a_ltln_list_prod_list_list$'|)) (= (|tptp.'concat$'| A__questionmark_v0) (|tptp.'fun_app$r'| (|tptp.'foldr$'| |tptp.'append$'| A__questionmark_v0) |tptp.'nil$'|))) (forall ((A__questionmark_v0 |tptp.'A_ltln_list_a_ltln_list_prod_list_list$'|)) (= (|tptp.'transpose$'| (|tptp.'cons$d'| |tptp.'nil$'| A__questionmark_v0)) (|tptp.'transpose$'| A__questionmark_v0))) (forall ((A__questionmark_v0 |tptp.'A_ltln_list_a_ltln_list_prod_list$'|) (A__questionmark_v1 |tptp.'A_ltln_list_a_ltln_list_prod_list$'|) (A__questionmark_v2 |tptp.'A_ltln_list_a_ltln_list_prod$'|)) (let ((_let_1 (|tptp.'fun_app$u'| |tptp.'prefix$'| A__questionmark_v0))) (let ((_let_2 (|tptp.'fun_app$r'| (|tptp.'fun_app$aw'| |tptp.'append$'| A__questionmark_v1) (|tptp.'fun_app$r'| (|tptp.'fun_app$s'| |tptp.'cons$e'| A__questionmark_v2) |tptp.'nil$'|)))) (= (|tptp.'fun_app$a'| _let_1 _let_2) (or (= A__questionmark_v0 _let_2) (|tptp.'fun_app$a'| _let_1 A__questionmark_v1)))))) (forall ((A__questionmark_v0 |tptp.'A_ltln_list_a_ltln_list_prod_list$'|) (A__questionmark_v1 |tptp.'A_ltln_list_a_ltln_list_prod_list$'|) (A__questionmark_v2 |tptp.'A_ltln_list_a_ltln_list_prod$'|)) (= (|tptp.'fun_app$a'| (|tptp.'fun_app$u'| |tptp.'suffix$'| A__questionmark_v0) (|tptp.'fun_app$r'| (|tptp.'fun_app$aw'| |tptp.'append$'| A__questionmark_v1) (|tptp.'fun_app$r'| (|tptp.'fun_app$s'| |tptp.'cons$e'| A__questionmark_v2) |tptp.'nil$'|))) (or (= A__questionmark_v0 |tptp.'nil$'|) (exists ((A__questionmark_v3 |tptp.'A_ltln_list_a_ltln_list_prod_list$'|)) (and (= A__questionmark_v0 (|tptp.'fun_app$r'| (|tptp.'fun_app$aw'| |tptp.'append$'| A__questionmark_v3) (|tptp.'fun_app$r'| (|tptp.'fun_app$s'| |tptp.'cons$e'| A__questionmark_v2) |tptp.'nil$'|))) (|tptp.'fun_app$a'| (|tptp.'fun_app$u'| |tptp.'suffix$'| A__questionmark_v3) A__questionmark_v1)))))) (forall ((A__questionmark_v0 |tptp.'A_ltln_list_a_ltln_list_prod_list$'|) (A__questionmark_v1 |tptp.'A_ltln_list_a_ltln_list_prod$'|) (A__questionmark_v2 |tptp.'A_ltln_list_a_ltln_list_prod_list$'|) (A__questionmark_v3 |tptp.'A_ltln_list_a_ltln_list_prod$'|)) (= (|tptp.'fun_app$a'| (|tptp.'fun_app$u'| |tptp.'suffix$'| (|tptp.'fun_app$r'| (|tptp.'fun_app$aw'| |tptp.'append$'| A__questionmark_v0) (|tptp.'fun_app$r'| (|tptp.'fun_app$s'| |tptp.'cons$e'| A__questionmark_v1) |tptp.'nil$'|))) (|tptp.'fun_app$r'| (|tptp.'fun_app$aw'| |tptp.'append$'| A__questionmark_v2) (|tptp.'fun_app$r'| (|tptp.'fun_app$s'| |tptp.'cons$e'| A__questionmark_v3) |tptp.'nil$'|))) (and (= A__questionmark_v1 A__questionmark_v3) (|tptp.'fun_app$a'| (|tptp.'fun_app$u'| |tptp.'suffix$'| A__questionmark_v0) A__questionmark_v2)))) (forall ((A__questionmark_v0 |tptp.'A_ltln_list_a_ltln_list_prod_list$'|)) (= (|tptp.'fun_app$a'| (|tptp.'fun_app$u'| |tptp.'prefix$'| |tptp.'nil$'|) A__questionmark_v0) true)) (forall ((A__questionmark_v0 |tptp.'A_ltln_list_a_ltln_list_prod_list$'|)) (= (|tptp.'fun_app$a'| (|tptp.'fun_app$u'| |tptp.'prefix$'| A__questionmark_v0) |tptp.'nil$'|) (= A__questionmark_v0 |tptp.'nil$'|))) (forall ((A__questionmark_v0 |tptp.'A_ltln_list_a_ltln_list_prod_list$'|)) (= (|tptp.'fun_app$a'| (|tptp.'fun_app$u'| |tptp.'prefix$'| A__questionmark_v0) |tptp.'nil$'|) (= A__questionmark_v0 |tptp.'nil$'|))) (forall ((A__questionmark_v0 |tptp.'A_ltln_list_a_ltln_list_prod_list$'|)) (= (|tptp.'fun_app$a'| (|tptp.'fun_app$u'| |tptp.'suffix$'| A__questionmark_v0) |tptp.'nil$'|) (= A__questionmark_v0 |tptp.'nil$'|))) (forall ((A__questionmark_v0 |tptp.'A_ltln_list_a_ltln_list_prod_list$'|)) (= (|tptp.'fun_app$a'| (|tptp.'fun_app$u'| |tptp.'suffix$'| A__questionmark_v0) |tptp.'nil$'|) (= A__questionmark_v0 |tptp.'nil$'|))) (forall ((A__questionmark_v0 |tptp.'A_ltln_list_a_ltln_list_prod_list$'|)) (= (= (|tptp.'fun_app$r'| |tptp.'rev$'| A__questionmark_v0) |tptp.'nil$'|) (= A__questionmark_v0 |tptp.'nil$'|))) (forall ((A__questionmark_v0 |tptp.'A_ltln_list_a_ltln_list_prod_list$'|)) (= (= |tptp.'nil$'| (|tptp.'fun_app$r'| |tptp.'rev$'| A__questionmark_v0)) (= A__questionmark_v0 |tptp.'nil$'|))) (forall ((A__questionmark_v0 |tptp.'A_ltln_list_a_ltln_list_prod_list$'|) (A__questionmark_v1 |tptp.'A_ltln_list_a_ltln_list_prod_list$'|)) (= (|tptp.'fun_app$a'| (|tptp.'fun_app$u'| |tptp.'prefix$'| (|tptp.'fun_app$r'| (|tptp.'fun_app$aw'| |tptp.'append$'| A__questionmark_v0) A__questionmark_v1)) A__questionmark_v0) (= A__questionmark_v1 |tptp.'nil$'|))) (forall ((A__questionmark_v0 |tptp.'A_ltln_list_a_ltln_list_prod_list$'|) (A__questionmark_v1 |tptp.'A_ltln_list_a_ltln_list_prod_list$'|)) (= (|tptp.'fun_app$a'| (|tptp.'fun_app$u'| |tptp.'suffix$'| (|tptp.'fun_app$r'| (|tptp.'fun_app$aw'| |tptp.'append$'| A__questionmark_v0) A__questionmark_v1)) A__questionmark_v1) (= A__questionmark_v0 |tptp.'nil$'|))) (forall ((A__questionmark_v0 |tptp.'A_ltln_list_a_ltln_list_prod$'|) (A__questionmark_v1 |tptp.'A_ltln_list_a_ltln_list_prod_list$'|)) (let ((_let_1 (|tptp.'fun_app$r'| (|tptp.'fun_app$s'| |tptp.'cons$e'| A__questionmark_v0) |tptp.'nil$'|))) (= (= _let_1 (|tptp.'fun_app$r'| |tptp.'rev$'| A__questionmark_v1)) (= _let_1 A__questionmark_v1)))) (forall ((A__questionmark_v0 |tptp.'A_ltln_list_a_ltln_list_prod_list$'|) (A__questionmark_v1 |tptp.'A_ltln_list_a_ltln_list_prod$'|)) (let ((_let_1 (|tptp.'fun_app$r'| (|tptp.'fun_app$s'| |tptp.'cons$e'| A__questionmark_v1) |tptp.'nil$'|))) (= (= (|tptp.'fun_app$r'| |tptp.'rev$'| A__questionmark_v0) _let_1) (= A__questionmark_v0 _let_1)))) (forall ((A__questionmark_v0 |tptp.'A_ltln_list_a_ltln_list_prod_list$'|) (A__questionmark_v1 |tptp.'A_ltln_list_a_ltln_list_prod$'|) (A__questionmark_v2 |tptp.'A_ltln_list_a_ltln_list_prod_list$'|)) (let ((_let_1 (|tptp.'fun_app$s'| |tptp.'cons$e'| A__questionmark_v1))) (= (= (|tptp.'fun_app$r'| |tptp.'rev$'| A__questionmark_v0) (|tptp.'fun_app$r'| _let_1 A__questionmark_v2)) (= A__questionmark_v0 (|tptp.'fun_app$r'| (|tptp.'fun_app$aw'| |tptp.'append$'| (|tptp.'fun_app$r'| |tptp.'rev$'| A__questionmark_v2)) (|tptp.'fun_app$r'| _let_1 |tptp.'nil$'|)))))) (= (|tptp.'fun_app$r'| |tptp.'rev$'| |tptp.'nil$'|) |tptp.'nil$'|) (forall ((A__questionmark_v0 |tptp.'A_ltln_list_a_ltln_list_prod_list$'|)) (|tptp.'fun_app$a'| (|tptp.'fun_app$u'| |tptp.'suffix$'| |tptp.'nil$'|) A__questionmark_v0)) (forall ((A__questionmark_v0 |tptp.'A_ltln_list_a_ltln_list_prod_list$'|)) (=> (|tptp.'fun_app$a'| (|tptp.'fun_app$u'| |tptp.'suffix$'| A__questionmark_v0) |tptp.'nil$'|) (= A__questionmark_v0 |tptp.'nil$'|))) (forall ((A__questionmark_v0 |tptp.'A_ltln_list_a_ltln_list_prod_list$'|)) (|tptp.'fun_app$a'| (|tptp.'fun_app$u'| |tptp.'suffix$'| |tptp.'nil$'|) A__questionmark_v0)) (forall ((A__questionmark_v0 |tptp.'A_ltln_list_a_ltln_list_prod_list$'|)) (|tptp.'fun_app$a'| (|tptp.'fun_app$u'| |tptp.'prefix$'| |tptp.'nil$'|) A__questionmark_v0)) (forall ((A__questionmark_v0 |tptp.'A_ltln_list_a_ltln_list_prod_list$'|)) (=> (|tptp.'fun_app$a'| (|tptp.'fun_app$u'| |tptp.'prefix$'| A__questionmark_v0) |tptp.'nil$'|) (= A__questionmark_v0 |tptp.'nil$'|))) (forall ((A__questionmark_v0 |tptp.'A_ltln_list_a_ltln_list_prod_list$'|)) (|tptp.'fun_app$a'| (|tptp.'fun_app$u'| |tptp.'prefix$'| |tptp.'nil$'|) A__questionmark_v0)) (forall ((A__questionmark_v0 |tptp.'A_ltln_list_a_ltln_list_prod$'|)) (= (|tptp.'fun_app$r'| (|tptp.'remove1$'| A__questionmark_v0) |tptp.'nil$'|) |tptp.'nil$'|)) (forall ((A__questionmark_v0 |tptp.'A_ltln_list_a_ltln_list_prod_list$'|) (A__questionmark_v1 |tptp.'A_ltln_list_a_ltln_list_prod_list$'|) (A__questionmark_v2 |tptp.'A_ltln_list_a_ltln_list_prod_list_a_ltln_list_a_ltln_list_prod_list_bool_fun_fun$'|)) (=> (and (not (|tptp.'fun_app$a'| (|tptp.'fun_app$u'| |tptp.'prefix$'| A__questionmark_v0) A__questionmark_v1)) (forall ((A__questionmark_v3 |tptp.'A_ltln_list_a_ltln_list_prod$'|) (A__questionmark_v4 |tptp.'A_ltln_list_a_ltln_list_prod_list$'|)) (|tptp.'fun_app$a'| (|tptp.'fun_app$u'| A__questionmark_v2 (|tptp.'fun_app$r'| (|tptp.'fun_app$s'| |tptp.'cons$e'| A__questionmark_v3) A__questionmark_v4)) |tptp.'nil$'|)) (forall ((A__questionmark_v3 |tptp.'A_ltln_list_a_ltln_list_prod$'|) (A__questionmark_v4 |tptp.'A_ltln_list_a_ltln_list_prod_list$'|) (A__questionmark_v5 |tptp.'A_ltln_list_a_ltln_list_prod$'|) (A__questionmark_v6 |tptp.'A_ltln_list_a_ltln_list_prod_list$'|)) (=> (not (= A__questionmark_v3 A__questionmark_v5)) (|tptp.'fun_app$a'| (|tptp.'fun_app$u'| A__questionmark_v2 (|tptp.'fun_app$r'| (|tptp.'fun_app$s'| |tptp.'cons$e'| A__questionmark_v3) A__questionmark_v4)) (|tptp.'fun_app$r'| (|tptp.'fun_app$s'| |tptp.'cons$e'| A__questionmark_v5) A__questionmark_v6)))) (forall ((A__questionmark_v3 |tptp.'A_ltln_list_a_ltln_list_prod$'|) (A__questionmark_v4 |tptp.'A_ltln_list_a_ltln_list_prod_list$'|) (A__questionmark_v5 |tptp.'A_ltln_list_a_ltln_list_prod$'|) (A__questionmark_v6 |tptp.'A_ltln_list_a_ltln_list_prod_list$'|)) (=> (and (= A__questionmark_v3 A__questionmark_v5) (not (|tptp.'fun_app$a'| (|tptp.'fun_app$u'| |tptp.'prefix$'| A__questionmark_v4) A__questionmark_v6)) (|tptp.'fun_app$a'| (|tptp.'fun_app$u'| A__questionmark_v2 A__questionmark_v4) A__questionmark_v6)) (|tptp.'fun_app$a'| (|tptp.'fun_app$u'| A__questionmark_v2 (|tptp.'fun_app$r'| (|tptp.'fun_app$s'| |tptp.'cons$e'| A__questionmark_v3) A__questionmark_v4)) (|tptp.'fun_app$r'| (|tptp.'fun_app$s'| |tptp.'cons$e'| A__questionmark_v5) A__questionmark_v6))))) (|tptp.'fun_app$a'| (|tptp.'fun_app$u'| A__questionmark_v2 A__questionmark_v0) A__questionmark_v1))) (forall ((A__questionmark_v0 |tptp.'A_ltln_list_a_ltln_list_prod_list$'|) (A__questionmark_v1 |tptp.'A_ltln_list_a_ltln_list_prod_list$'|)) (=> (and (not (|tptp.'fun_app$a'| (|tptp.'fun_app$u'| |tptp.'prefix$'| A__questionmark_v0) A__questionmark_v1)) (=> (and (not (= A__questionmark_v0 |tptp.'nil$'|)) (= A__questionmark_v1 |tptp.'nil$'|)) false) (forall ((A__questionmark_v2 |tptp.'A_ltln_list_a_ltln_list_prod$'|) (A__questionmark_v3 |tptp.'A_ltln_list_a_ltln_list_prod_list$'|) (A__questionmark_v4 |tptp.'A_ltln_list_a_ltln_list_prod$'|) (A__questionmark_v5 |tptp.'A_ltln_list_a_ltln_list_prod_list$'|)) (=> (and (= A__questionmark_v0 (|tptp.'fun_app$r'| (|tptp.'fun_app$s'| |tptp.'cons$e'| A__questionmark_v2) A__questionmark_v3)) (= A__questionmark_v1 (|tptp.'fun_app$r'| (|tptp.'fun_app$s'| |tptp.'cons$e'| A__questionmark_v4) A__questionmark_v5)) (= A__questionmark_v4 A__questionmark_v2) (not (|tptp.'fun_app$a'| (|tptp.'fun_app$u'| |tptp.'prefix$'| A__questionmark_v3) A__questionmark_v5))) false)) (forall ((A__questionmark_v2 |tptp.'A_ltln_list_a_ltln_list_prod$'|) (A__questionmark_v3 |tptp.'A_ltln_list_a_ltln_list_prod_list$'|) (A__questionmark_v4 |tptp.'A_ltln_list_a_ltln_list_prod$'|) (A__questionmark_v5 |tptp.'A_ltln_list_a_ltln_list_prod_list$'|)) (=> (and (= A__questionmark_v0 (|tptp.'fun_app$r'| (|tptp.'fun_app$s'| |tptp.'cons$e'| A__questionmark_v2) A__questionmark_v3)) (= A__questionmark_v1 (|tptp.'fun_app$r'| (|tptp.'fun_app$s'| |tptp.'cons$e'| A__questionmark_v4) A__questionmark_v5)) (not (= A__questionmark_v4 A__questionmark_v2))) false))) false)) (forall ((A__questionmark_v0 |tptp.'A_ltln_list_a_ltln_list_prod_list$'|) (A__questionmark_v1 |tptp.'A_ltln_list_a_ltln_list_prod$'|) (A__questionmark_v2 |tptp.'A_ltln_list_a_ltln_list_prod_list$'|)) (= (|tptp.'fun_app$a'| (|tptp.'fun_app$u'| |tptp.'prefix$'| A__questionmark_v0) (|tptp.'fun_app$r'| (|tptp.'fun_app$s'| |tptp.'cons$e'| A__questionmark_v1) A__questionmark_v2)) (or (= A__questionmark_v0 |tptp.'nil$'|) (exists ((A__questionmark_v3 |tptp.'A_ltln_list_a_ltln_list_prod_list$'|)) (and (= A__questionmark_v0 (|tptp.'fun_app$r'| (|tptp.'fun_app$s'| |tptp.'cons$e'| A__questionmark_v1) A__questionmark_v3)) (|tptp.'fun_app$a'| (|tptp.'fun_app$u'| |tptp.'prefix$'| A__questionmark_v3) A__questionmark_v2)))))) (forall ((A__questionmark_v0 |tptp.'A_ltln_list_a_ltln_list_prod$'|) (A__questionmark_v1 |tptp.'A_ltln_list_a_ltln_list_prod_list$'|)) (= (|tptp.'fun_app$a'| (|tptp.'fun_app$u'| |tptp.'prefix$'| (|tptp.'fun_app$r'| (|tptp.'fun_app$s'| |tptp.'cons$e'| A__questionmark_v0) A__questionmark_v1)) |tptp.'nil$'|) false)) (forall ((A__questionmark_v0 |tptp.'A_ltln_list_a_ltln_list_prod$'|) (A__questionmark_v1 |tptp.'A_ltln_list_a_ltln_list_prod_list$'|)) (let ((_let_1 (|tptp.'fun_app$s'| |tptp.'cons$e'| A__questionmark_v0))) (= (|tptp.'fun_app$r'| |tptp.'rev$'| (|tptp.'fun_app$r'| _let_1 A__questionmark_v1)) (|tptp.'fun_app$r'| (|tptp.'fun_app$aw'| |tptp.'append$'| (|tptp.'fun_app$r'| |tptp.'rev$'| A__questionmark_v1)) (|tptp.'fun_app$r'| _let_1 |tptp.'nil$'|))))) (forall ((A__questionmark_v0 |tptp.'A_ltln_list_a_ltln_list_prod_list$'|) (A__questionmark_v1 |tptp.'A_ltln_list_a_ltln_list_prod_list$'|) (A__questionmark_v2 |tptp.'A_ltln_list_a_ltln_list_prod_list_a_ltln_list_a_ltln_list_prod_list_bool_fun_fun$'|)) (=> (and (not (|tptp.'fun_app$a'| (|tptp.'fun_app$u'| |tptp.'suffix$'| A__questionmark_v0) A__questionmark_v1)) (forall ((A__questionmark_v3 |tptp.'A_ltln_list_a_ltln_list_prod$'|) (A__questionmark_v4 |tptp.'A_ltln_list_a_ltln_list_prod_list$'|)) (|tptp.'fun_app$a'| (|tptp.'fun_app$u'| A__questionmark_v2 (|tptp.'fun_app$r'| (|tptp.'fun_app$aw'| |tptp.'append$'| A__questionmark_v4) (|tptp.'fun_app$r'| (|tptp.'fun_app$s'| |tptp.'cons$e'| A__questionmark_v3) |tptp.'nil$'|))) |tptp.'nil$'|)) (forall ((A__questionmark_v3 |tptp.'A_ltln_list_a_ltln_list_prod$'|) (A__questionmark_v4 |tptp.'A_ltln_list_a_ltln_list_prod_list$'|) (A__questionmark_v5 |tptp.'A_ltln_list_a_ltln_list_prod$'|) (A__questionmark_v6 |tptp.'A_ltln_list_a_ltln_list_prod_list$'|)) (=> (not (= A__questionmark_v3 A__questionmark_v5)) (|tptp.'fun_app$a'| (|tptp.'fun_app$u'| A__questionmark_v2 (|tptp.'fun_app$r'| (|tptp.'fun_app$aw'| |tptp.'append$'| A__questionmark_v4) (|tptp.'fun_app$r'| (|tptp.'fun_app$s'| |tptp.'cons$e'| A__questionmark_v3) |tptp.'nil$'|))) (|tptp.'fun_app$r'| (|tptp.'fun_app$aw'| |tptp.'append$'| A__questionmark_v6) (|tptp.'fun_app$r'| (|tptp.'fun_app$s'| |tptp.'cons$e'| A__questionmark_v5) |tptp.'nil$'|))))) (forall ((A__questionmark_v3 |tptp.'A_ltln_list_a_ltln_list_prod$'|) (A__questionmark_v4 |tptp.'A_ltln_list_a_ltln_list_prod_list$'|) (A__questionmark_v5 |tptp.'A_ltln_list_a_ltln_list_prod$'|) (A__questionmark_v6 |tptp.'A_ltln_list_a_ltln_list_prod_list$'|)) (=> (and (= A__questionmark_v3 A__questionmark_v5) (not (|tptp.'fun_app$a'| (|tptp.'fun_app$u'| |tptp.'suffix$'| A__questionmark_v4) A__questionmark_v6)) (|tptp.'fun_app$a'| (|tptp.'fun_app$u'| A__questionmark_v2 A__questionmark_v4) A__questionmark_v6)) (|tptp.'fun_app$a'| (|tptp.'fun_app$u'| A__questionmark_v2 (|tptp.'fun_app$r'| (|tptp.'fun_app$aw'| |tptp.'append$'| A__questionmark_v4) (|tptp.'fun_app$r'| (|tptp.'fun_app$s'| |tptp.'cons$e'| A__questionmark_v3) |tptp.'nil$'|))) (|tptp.'fun_app$r'| (|tptp.'fun_app$aw'| |tptp.'append$'| A__questionmark_v6) (|tptp.'fun_app$r'| (|tptp.'fun_app$s'| |tptp.'cons$e'| A__questionmark_v5) |tptp.'nil$'|)))))) (|tptp.'fun_app$a'| (|tptp.'fun_app$u'| A__questionmark_v2 A__questionmark_v0) A__questionmark_v1))) (forall ((A__questionmark_v0 |tptp.'A_ltln_list_a_ltln_list_prod_list$'|) (A__questionmark_v1 |tptp.'A_ltln_list_a_ltln_list_prod_list$'|)) (=> (and (not (|tptp.'fun_app$a'| (|tptp.'fun_app$u'| |tptp.'suffix$'| A__questionmark_v0) A__questionmark_v1)) (=> (and (not (= A__questionmark_v0 |tptp.'nil$'|)) (= A__questionmark_v1 |tptp.'nil$'|)) false) (forall ((A__questionmark_v2 |tptp.'A_ltln_list_a_ltln_list_prod$'|) (A__questionmark_v3 |tptp.'A_ltln_list_a_ltln_list_prod_list$'|) (A__questionmark_v4 |tptp.'A_ltln_list_a_ltln_list_prod$'|) (A__questionmark_v5 |tptp.'A_ltln_list_a_ltln_list_prod_list$'|)) (=> (and (= A__questionmark_v0 (|tptp.'fun_app$r'| (|tptp.'fun_app$aw'| |tptp.'append$'| A__questionmark_v3) (|tptp.'fun_app$r'| (|tptp.'fun_app$s'| |tptp.'cons$e'| A__questionmark_v2) |tptp.'nil$'|))) (= A__questionmark_v1 (|tptp.'fun_app$r'| (|tptp.'fun_app$aw'| |tptp.'append$'| A__questionmark_v5) (|tptp.'fun_app$r'| (|tptp.'fun_app$s'| |tptp.'cons$e'| A__questionmark_v4) |tptp.'nil$'|))) (= A__questionmark_v4 A__questionmark_v2) (not (|tptp.'fun_app$a'| (|tptp.'fun_app$u'| |tptp.'suffix$'| A__questionmark_v3) A__questionmark_v5))) false)) (forall ((A__questionmark_v2 |tptp.'A_ltln_list_a_ltln_list_prod$'|) (A__questionmark_v3 |tptp.'A_ltln_list_a_ltln_list_prod_list$'|) (A__questionmark_v4 |tptp.'A_ltln_list_a_ltln_list_prod$'|) (A__questionmark_v5 |tptp.'A_ltln_list_a_ltln_list_prod_list$'|)) (=> (and (= A__questionmark_v0 (|tptp.'fun_app$r'| (|tptp.'fun_app$aw'| |tptp.'append$'| A__questionmark_v3) (|tptp.'fun_app$r'| (|tptp.'fun_app$s'| |tptp.'cons$e'| A__questionmark_v2) |tptp.'nil$'|))) (= A__questionmark_v1 (|tptp.'fun_app$r'| (|tptp.'fun_app$aw'| |tptp.'append$'| A__questionmark_v5) (|tptp.'fun_app$r'| (|tptp.'fun_app$s'| |tptp.'cons$e'| A__questionmark_v4) |tptp.'nil$'|))) (not (= A__questionmark_v4 A__questionmark_v2))) false))) false)) (forall ((A__questionmark_v0 |tptp.'A_ltln_list_a_ltln_list_prod_list$'|)) (= (|tptp.'fun_app$r'| (|tptp.'min$'| |tptp.'suffix$'| A__questionmark_v0) |tptp.'nil$'|) |tptp.'nil$'|)) (forall ((A__questionmark_v0 |tptp.'A_ltln_list_a_ltln_list_prod_list$'|)) (= (|tptp.'fun_app$r'| (|tptp.'max$'| |tptp.'suffix$'| A__questionmark_v0) |tptp.'nil$'|) A__questionmark_v0)) (forall ((A__questionmark_v0 |tptp.'A_ltln_list_a_ltln_list_prod_list$'|)) (= (|tptp.'fun_app$r'| (|tptp.'min$'| |tptp.'suffix$'| |tptp.'nil$'|) A__questionmark_v0) |tptp.'nil$'|)) (forall ((A__questionmark_v0 |tptp.'A_ltln_list_a_ltln_list_prod_list$'|)) (= (|tptp.'fun_app$r'| (|tptp.'max$'| |tptp.'suffix$'| |tptp.'nil$'|) A__questionmark_v0) A__questionmark_v0)) (forall ((A__questionmark_v0 |tptp.'A_ltln_list_a_ltln_list_prod_list$'|)) (= (|tptp.'fun_app$r'| (|tptp.'max$'| |tptp.'prefix$'| |tptp.'nil$'|) A__questionmark_v0) A__questionmark_v0)) (forall ((A__questionmark_v0 |tptp.'A_ltln_list_a_ltln_list_prod_list$'|)) (= (|tptp.'fun_app$r'| (|tptp.'min$'| |tptp.'prefix$'| |tptp.'nil$'|) A__questionmark_v0) |tptp.'nil$'|)) (forall ((A__questionmark_v0 |tptp.'A_ltln_list_a_ltln_list_prod_list$'|)) (= (|tptp.'fun_app$r'| (|tptp.'max$'| |tptp.'prefix$'| A__questionmark_v0) |tptp.'nil$'|) A__questionmark_v0)) (forall ((A__questionmark_v0 |tptp.'A_ltln_list_a_ltln_list_prod_list$'|)) (= (|tptp.'fun_app$r'| (|tptp.'min$'| |tptp.'prefix$'| A__questionmark_v0) |tptp.'nil$'|) |tptp.'nil$'|)) (forall ((A__questionmark_v0 |tptp.'A_ltln_list_a_ltln_list_prod_list$'|) (A__questionmark_v1 |tptp.'A_ltln_list_a_ltln_list_prod$'|) (A__questionmark_v2 |tptp.'A_ltln_list_a_ltln_list_prod_list$'|) (A__questionmark_v3 |tptp.'A_ltln_list_a_ltln_list_prod$'|)) (let ((_let_1 (|tptp.'fun_app$u'| |tptp.'sublist$'| (|tptp.'fun_app$r'| (|tptp.'fun_app$aw'| |tptp.'append$'| A__questionmark_v0) (|tptp.'fun_app$r'| (|tptp.'fun_app$s'| |tptp.'cons$e'| A__questionmark_v1) |tptp.'nil$'|))))) (= (|tptp.'fun_app$a'| _let_1 (|tptp.'fun_app$r'| (|tptp.'fun_app$aw'| |tptp.'append$'| A__questionmark_v2) (|tptp.'fun_app$r'| (|tptp.'fun_app$s'| |tptp.'cons$e'| A__questionmark_v3) |tptp.'nil$'|))) (or (and (= A__questionmark_v1 A__questionmark_v3) (|tptp.'fun_app$a'| (|tptp.'fun_app$u'| |tptp.'suffix$'| A__questionmark_v0) A__questionmark_v2)) (|tptp.'fun_app$a'| _let_1 A__questionmark_v2))))) (forall ((A__questionmark_v0 |tptp.'A_ltln_list_a_ltln_list_prod_list$'|) (A__questionmark_v1 |tptp.'A_ltln_list_a_ltln_list_prod_list$'|) (A__questionmark_v2 |tptp.'A_ltln_list_a_ltln_list_prod$'|)) (let ((_let_1 (|tptp.'fun_app$u'| |tptp.'sublist$'| A__questionmark_v0))) (let ((_let_2 (|tptp.'fun_app$r'| (|tptp.'fun_app$aw'| |tptp.'append$'| A__questionmark_v1) (|tptp.'fun_app$r'| (|tptp.'fun_app$s'| |tptp.'cons$e'| A__questionmark_v2) |tptp.'nil$'|)))) (= (|tptp.'fun_app$a'| _let_1 _let_2) (or (|tptp.'fun_app$a'| (|tptp.'fun_app$u'| |tptp.'suffix$'| A__questionmark_v0) _let_2) (|tptp.'fun_app$a'| _let_1 A__questionmark_v1)))))) (forall ((A__questionmark_v0 |tptp.'A_ltln_list_a_ltln_list_prod_list$'|) (A__questionmark_v1 |tptp.'A_ltln_list_a_ltln_list_prod$'|) (A__questionmark_v2 |tptp.'A_ltln_list_a_ltln_list_prod_list$'|)) (=> (|tptp.'fun_app$a'| (|tptp.'fun_app$u'| |tptp.'prefix$'| (|tptp.'fun_app$r'| (|tptp.'fun_app$aw'| |tptp.'append$'| A__questionmark_v0) (|tptp.'fun_app$r'| (|tptp.'fun_app$s'| |tptp.'cons$e'| A__questionmark_v1) |tptp.'nil$'|))) A__questionmark_v2) (|tptp.'fun_app$a'| (|tptp.'fun_app$u'| |tptp.'strict_prefix$'| A__questionmark_v0) A__questionmark_v2))) (forall ((A__questionmark_v0 |tptp.'A_ltln_list_a_ltln_list_prod_list$'|)) (= (|tptp.'fun_app$a'| (|tptp.'fun_app$u'| |tptp.'sublist$'| A__questionmark_v0) |tptp.'nil$'|) (= A__questionmark_v0 |tptp.'nil$'|))) (forall ((A__questionmark_v0 |tptp.'A_ltln_list_a_ltln_list_prod_list$'|)) (|tptp.'fun_app$a'| (|tptp.'fun_app$u'| |tptp.'sublist$'| |tptp.'nil$'|) A__questionmark_v0)) (forall ((A__questionmark_v0 |tptp.'A_ltln_list_a_ltln_list_prod_list$'|)) (= (|tptp.'fun_app$a'| (|tptp.'fun_app$u'| |tptp.'sublist$'| |tptp.'nil$'|) A__questionmark_v0) true)) (forall ((A__questionmark_v0 |tptp.'A_ltln_list_a_ltln_list_prod_list$'|)) (= (|tptp.'fun_app$a'| (|tptp.'fun_app$u'| |tptp.'strict_prefix$'| A__questionmark_v0) |tptp.'nil$'|) false)) (forall ((A__questionmark_v0 |tptp.'A_ltln_list_a_ltln_list_prod$'|) (A__questionmark_v1 |tptp.'A_ltln_list_a_ltln_list_prod_list$'|)) (= (|tptp.'fun_app$a'| (|tptp.'fun_app$u'| |tptp.'sublist$'| (|tptp.'fun_app$r'| (|tptp.'fun_app$s'| |tptp.'cons$e'| A__questionmark_v0) A__questionmark_v1)) |tptp.'nil$'|) false)) (forall ((A__questionmark_v0 |tptp.'A_ltln_list_a_ltln_list_prod$'|) (A__questionmark_v1 |tptp.'A_ltln_list_a_ltln_list_prod_list$'|)) (= (|tptp.'fun_app$a'| (|tptp.'fun_app$u'| |tptp.'strict_prefix$'| |tptp.'nil$'|) (|tptp.'fun_app$r'| (|tptp.'fun_app$s'| |tptp.'cons$e'| A__questionmark_v0) A__questionmark_v1)) true)) (forall ((A__questionmark_v0 |tptp.'A_ltln_list_a_ltln_list_prod_list$'|)) (= (not (= A__questionmark_v0 |tptp.'nil$'|)) (|tptp.'fun_app$a'| (|tptp.'fun_app$u'| |tptp.'strict_prefix$'| |tptp.'nil$'|) A__questionmark_v0))) (forall ((A__questionmark_v0 |tptp.'A_ltln_list_a_ltln_list_prod_list$'|)) (not (|tptp.'fun_app$a'| (|tptp.'fun_app$u'| |tptp.'strict_prefix$'| A__questionmark_v0) |tptp.'nil$'|))) (forall ((A__questionmark_v0 |tptp.'A_ltln_list_a_ltln_list_prod$'|) (A__questionmark_v1 |tptp.'A_ltln_list_a_ltln_list_prod_list$'|)) (not (|tptp.'fun_app$a'| (|tptp.'fun_app$u'| |tptp.'sublist$'| (|tptp.'fun_app$r'| (|tptp.'fun_app$s'| |tptp.'cons$e'| A__questionmark_v0) A__questionmark_v1)) |tptp.'nil$'|))) (forall ((A__questionmark_v0 |tptp.'A_ltln_list_a_ltln_list_prod_list$'|) (A__questionmark_v1 |tptp.'A_ltln_list_a_ltln_list_prod_list$'|) (A__questionmark_v2 |tptp.'A_ltln_list_a_ltln_list_prod_list$'|) (A__questionmark_v3 |tptp.'A_ltln_list_a_ltln_list_prod_list$'|) (A__questionmark_v4 |tptp.'A_ltln_list_a_ltln_list_prod_list_a_ltln_list_a_ltln_list_prod_list_a_ltln_list_a_ltln_list_prod_list_a_ltln_list_a_ltln_list_prod_list_bool_fun_fun_fun_fun$'|)) (let ((_let_1 (|tptp.'of_nat$'| (|tptp.'size$'| A__questionmark_v2)))) (let ((_let_2 (|tptp.'of_nat$'| (|tptp.'size$'| A__questionmark_v1)))) (=> (and (= (|tptp.'of_nat$'| (|tptp.'size$'| A__questionmark_v0)) _let_2) (= _let_2 _let_1) (= _let_1 (|tptp.'of_nat$'| (|tptp.'size$'| A__questionmark_v3))) (|tptp.'fun_app$a'| (|tptp.'fun_app$u'| (|tptp.'fun_app$bh'| (|tptp.'fun_app$bi'| A__questionmark_v4 |tptp.'nil$'|) |tptp.'nil$'|) |tptp.'nil$'|) |tptp.'nil$'|) (forall ((A__questionmark_v5 |tptp.'A_ltln_list_a_ltln_list_prod$'|) (A__questionmark_v6 |tptp.'A_ltln_list_a_ltln_list_prod_list$'|) (A__questionmark_v7 |tptp.'A_ltln_list_a_ltln_list_prod$'|) (A__questionmark_v8 |tptp.'A_ltln_list_a_ltln_list_prod_list$'|) (A__questionmark_v9 |tptp.'A_ltln_list_a_ltln_list_prod$'|) (A__questionmark_v10 |tptp.'A_ltln_list_a_ltln_list_prod_list$'|) (A__questionmark_v11 |tptp.'A_ltln_list_a_ltln_list_prod$'|) (A__questionmark_v12 |tptp.'A_ltln_list_a_ltln_list_prod_list$'|)) (let ((_let_1 (|tptp.'of_nat$'| (|tptp.'size$'| A__questionmark_v10)))) (let ((_let_2 (|tptp.'of_nat$'| (|tptp.'size$'| A__questionmark_v8)))) (=> (and (= (|tptp.'of_nat$'| (|tptp.'size$'| A__questionmark_v6)) _let_2) (= _let_2 _let_1) (= _let_1 (|tptp.'of_nat$'| (|tptp.'size$'| A__questionmark_v12))) (|tptp.'fun_app$a'| (|tptp.'fun_app$u'| (|tptp.'fun_app$bh'| (|tptp.'fun_app$bi'| A__questionmark_v4 A__questionmark_v6) A__questionmark_v8) A__questionmark_v10) A__questionmark_v12)) (|tptp.'fun_app$a'| (|tptp.'fun_app$u'| (|tptp.'fun_app$bh'| (|tptp.'fun_app$bi'| A__questionmark_v4 (|tptp.'fun_app$r'| (|tptp.'fun_app$s'| |tptp.'cons$e'| A__questionmark_v5) A__questionmark_v6)) (|tptp.'fun_app$r'| (|tptp.'fun_app$s'| |tptp.'cons$e'| A__questionmark_v7) A__questionmark_v8)) (|tptp.'fun_app$r'| (|tptp.'fun_app$s'| |tptp.'cons$e'| A__questionmark_v9) A__questionmark_v10)) (|tptp.'fun_app$r'| (|tptp.'fun_app$s'| |tptp.'cons$e'| A__questionmark_v11) A__questionmark_v12))))))) (|tptp.'fun_app$a'| (|tptp.'fun_app$u'| (|tptp.'fun_app$bh'| (|tptp.'fun_app$bi'| A__questionmark_v4 A__questionmark_v0) A__questionmark_v1) A__questionmark_v2) A__questionmark_v3))))) (forall ((A__questionmark_v0 |tptp.'A_ltln_list_a_ltln_list_prod_list$'|) (A__questionmark_v1 |tptp.'A_ltln_list_a_ltln_list_prod_list$'|) (A__questionmark_v2 |tptp.'A_ltln_list_a_ltln_list_prod_list$'|) (A__questionmark_v3 |tptp.'A_ltln_list_a_ltln_list_prod_list_a_ltln_list_a_ltln_list_prod_list_a_ltln_list_a_ltln_list_prod_list_bool_fun_fun_fun$'|)) (let ((_let_1 (|tptp.'of_nat$'| (|tptp.'size$'| A__questionmark_v1)))) (=> (and (= (|tptp.'of_nat$'| (|tptp.'size$'| A__questionmark_v0)) _let_1) (= _let_1 (|tptp.'of_nat$'| (|tptp.'size$'| A__questionmark_v2))) (|tptp.'fun_app$a'| (|tptp.'fun_app$u'| (|tptp.'fun_app$bh'| A__questionmark_v3 |tptp.'nil$'|) |tptp.'nil$'|) |tptp.'nil$'|) (forall ((A__questionmark_v4 |tptp.'A_ltln_list_a_ltln_list_prod$'|) (A__questionmark_v5 |tptp.'A_ltln_list_a_ltln_list_prod_list$'|) (A__questionmark_v6 |tptp.'A_ltln_list_a_ltln_list_prod$'|) (A__questionmark_v7 |tptp.'A_ltln_list_a_ltln_list_prod_list$'|) (A__questionmark_v8 |tptp.'A_ltln_list_a_ltln_list_prod$'|) (A__questionmark_v9 |tptp.'A_ltln_list_a_ltln_list_prod_list$'|)) (let ((_let_1 (|tptp.'of_nat$'| (|tptp.'size$'| A__questionmark_v7)))) (=> (and (= (|tptp.'of_nat$'| (|tptp.'size$'| A__questionmark_v5)) _let_1) (= _let_1 (|tptp.'of_nat$'| (|tptp.'size$'| A__questionmark_v9))) (|tptp.'fun_app$a'| (|tptp.'fun_app$u'| (|tptp.'fun_app$bh'| A__questionmark_v3 A__questionmark_v5) A__questionmark_v7) A__questionmark_v9)) (|tptp.'fun_app$a'| (|tptp.'fun_app$u'| (|tptp.'fun_app$bh'| A__questionmark_v3 (|tptp.'fun_app$r'| (|tptp.'fun_app$s'| |tptp.'cons$e'| A__questionmark_v4) A__questionmark_v5)) (|tptp.'fun_app$r'| (|tptp.'fun_app$s'| |tptp.'cons$e'| A__questionmark_v6) A__questionmark_v7)) (|tptp.'fun_app$r'| (|tptp.'fun_app$s'| |tptp.'cons$e'| A__questionmark_v8) A__questionmark_v9)))))) (|tptp.'fun_app$a'| (|tptp.'fun_app$u'| (|tptp.'fun_app$bh'| A__questionmark_v3 A__questionmark_v0) A__questionmark_v1) A__questionmark_v2)))) (forall ((A__questionmark_v0 |tptp.'A_ltln_list_a_ltln_list_prod_list$'|) (A__questionmark_v1 |tptp.'A_ltln_list_a_ltln_list_prod_list$'|) (A__questionmark_v2 |tptp.'A_ltln_list_a_ltln_list_prod_list_a_ltln_list_a_ltln_list_prod_list_bool_fun_fun$'|)) (=> (and (= (|tptp.'of_nat$'| (|tptp.'size$'| A__questionmark_v0)) (|tptp.'of_nat$'| (|tptp.'size$'| A__questionmark_v1))) (|tptp.'fun_app$a'| (|tptp.'fun_app$u'| A__questionmark_v2 |tptp.'nil$'|) |tptp.'nil$'|) (forall ((A__questionmark_v3 |tptp.'A_ltln_list_a_ltln_list_prod$'|) (A__questionmark_v4 |tptp.'A_ltln_list_a_ltln_list_prod_list$'|) (A__questionmark_v5 |tptp.'A_ltln_list_a_ltln_list_prod$'|) (A__questionmark_v6 |tptp.'A_ltln_list_a_ltln_list_prod_list$'|)) (=> (and (= (|tptp.'of_nat$'| (|tptp.'size$'| A__questionmark_v4)) (|tptp.'of_nat$'| (|tptp.'size$'| A__questionmark_v6))) (|tptp.'fun_app$a'| (|tptp.'fun_app$u'| A__questionmark_v2 A__questionmark_v4) A__questionmark_v6)) (|tptp.'fun_app$a'| (|tptp.'fun_app$u'| A__questionmark_v2 (|tptp.'fun_app$r'| (|tptp.'fun_app$s'| |tptp.'cons$e'| A__questionmark_v3) A__questionmark_v4)) (|tptp.'fun_app$r'| (|tptp.'fun_app$s'| |tptp.'cons$e'| A__questionmark_v5) A__questionmark_v6))))) (|tptp.'fun_app$a'| (|tptp.'fun_app$u'| A__questionmark_v2 A__questionmark_v0) A__questionmark_v1))) (forall ((A__questionmark_v0 |tptp.'A_ltln_list_a_ltln_list_prod_list$'|) (A__questionmark_v1 |tptp.'A_ltln_list_a_ltln_list_prod_list$'|)) (=> (and (not (= A__questionmark_v0 A__questionmark_v1)) (= (|tptp.'of_nat$'| (|tptp.'size$'| A__questionmark_v0)) (|tptp.'of_nat$'| (|tptp.'size$'| A__questionmark_v1)))) (exists ((A__questionmark_v2 |tptp.'A_ltln_list_a_ltln_list_prod_list$'|) (A__questionmark_v3 |tptp.'A_ltln_list_a_ltln_list_prod$'|) (A__questionmark_v4 |tptp.'A_ltln_list_a_ltln_list_prod_list$'|) (A__questionmark_v5 |tptp.'A_ltln_list_a_ltln_list_prod$'|) (A__questionmark_v6 |tptp.'A_ltln_list_a_ltln_list_prod_list$'|)) (let ((_let_1 (|tptp.'fun_app$aw'| |tptp.'append$'| A__questionmark_v2))) (and (not (= A__questionmark_v3 A__questionmark_v5)) (= A__questionmark_v0 (|tptp.'fun_app$r'| _let_1 (|tptp.'fun_app$r'| (|tptp.'fun_app$aw'| |tptp.'append$'| (|tptp.'fun_app$r'| (|tptp.'fun_app$s'| |tptp.'cons$e'| A__questionmark_v3) |tptp.'nil$'|)) A__questionmark_v4))) (= A__questionmark_v1 (|tptp.'fun_app$r'| _let_1 (|tptp.'fun_app$r'| (|tptp.'fun_app$aw'| |tptp.'append$'| (|tptp.'fun_app$r'| (|tptp.'fun_app$s'| |tptp.'cons$e'| A__questionmark_v5) |tptp.'nil$'|)) A__questionmark_v6)))))))) (forall ((A__questionmark_v0 |tptp.'A_ltln_list_a_ltln_list_prod_list$'|)) (= (|tptp.'fun_app$r'| |tptp.'rev$'| A__questionmark_v0) (|tptp.'fun_app$r'| (|tptp.'fold$'| |tptp.'cons$e'| A__questionmark_v0) |tptp.'nil$'|))) (forall ((A__questionmark_v0 |tptp.'Nat$'|)) (let ((_let_1 (|tptp.'fun_app$f'| (|tptp.'n_lists$'| A__questionmark_v0) |tptp.'nil$'|))) (let ((_let_2 (= (|tptp.'of_nat$'| A__questionmark_v0) 0))) (and (=> _let_2 (= _let_1 (|tptp.'cons$d'| |tptp.'nil$'| |tptp.'nil$a'|))) (=> (not _let_2) (= _let_1 |tptp.'nil$a'|)))))) (forall ((A__questionmark_v0 |tptp.'A_ltln_list_a_ltln_list_prod_list$'|)) (= (|tptp.'fun_app$f'| (|tptp.'n_lists$'| (|tptp.'nat$'| 0)) A__questionmark_v0) (|tptp.'cons$d'| |tptp.'nil$'| |tptp.'nil$a'|))) (forall ((A__questionmark_v0 |tptp.'A_ltln_list_a_ltln_list_prod_list$'|)) (= (= (|tptp.'of_nat$'| (|tptp.'size$'| A__questionmark_v0)) 0) (= A__questionmark_v0 |tptp.'nil$'|))) (= (|tptp.'of_nat$'| (|tptp.'size$'| |tptp.'nil$'|)) 0) (forall ((A__questionmark_v0 |tptp.'A_ltln_list_a_ltln_list_prod$'|) (A__questionmark_v1 |tptp.'Nat_set$'|)) (let ((_let_1 (|tptp.'fun_app$r'| (|tptp.'fun_app$s'| |tptp.'cons$e'| A__questionmark_v0) |tptp.'nil$'|))) (let ((_let_2 (|tptp.'nths$'| _let_1 A__questionmark_v1))) (let ((_let_3 (|tptp.'member$c'| (|tptp.'nat$'| 0) A__questionmark_v1))) (and (=> _let_3 (= _let_2 _let_1)) (=> (not _let_3) (= _let_2 |tptp.'nil$'|))))))) (forall ((A__questionmark_v0 |tptp.'Nat_set$'|)) (= (|tptp.'nths$'| |tptp.'nil$'| A__questionmark_v0) |tptp.'nil$'|)) (forall ((A__questionmark_v0 |tptp.'A_ltln_list_a_ltln_list_prod_list$'|) (A__questionmark_v1 |tptp.'Nat$'|)) (= (= (|tptp.'of_nat$'| (|tptp.'size$'| A__questionmark_v0)) (+ (|tptp.'of_nat$'| A__questionmark_v1) 1)) (exists ((A__questionmark_v2 |tptp.'A_ltln_list_a_ltln_list_prod$'|) (A__questionmark_v3 |tptp.'A_ltln_list_a_ltln_list_prod_list$'|)) (and (= A__questionmark_v0 (|tptp.'fun_app$r'| (|tptp.'fun_app$aw'| |tptp.'append$'| A__questionmark_v3) (|tptp.'fun_app$r'| (|tptp.'fun_app$s'| |tptp.'cons$e'| A__questionmark_v2) |tptp.'nil$'|))) (= (|tptp.'of_nat$'| (|tptp.'size$'| A__questionmark_v3)) (|tptp.'of_nat$'| A__questionmark_v1)))))) (forall ((A__questionmark_v0 |tptp.'A_ltln_list_a_ltln_list_prod_list$'|) (A__questionmark_v1 |tptp.'A_ltln_list_a_ltln_list_prod$'|)) (= (|tptp.'of_nat$'| (|tptp.'size$'| (|tptp.'fun_app$r'| (|tptp.'fun_app$aw'| |tptp.'append$'| A__questionmark_v0) (|tptp.'fun_app$r'| (|tptp.'fun_app$s'| |tptp.'cons$e'| A__questionmark_v1) |tptp.'nil$'|)))) (+ (|tptp.'of_nat$'| (|tptp.'size$'| A__questionmark_v0)) 1))) (forall ((A__questionmark_v0 |tptp.'A_ltln_list_a_ltln_list_prod_list$'|) (A__questionmark_v1 |tptp.'A_ltln_list_a_ltln_list_prod_list$'|)) (=> (and (not (= A__questionmark_v0 |tptp.'nil$'|)) (not (= A__questionmark_v1 |tptp.'nil$'|)) (= (|tptp.'of_nat$'| (|tptp.'size$'| A__questionmark_v0)) (|tptp.'of_nat$'| (|tptp.'size$'| A__questionmark_v1)))) (= (|tptp.'last$a'| (|tptp.'fun_app$h'| (|tptp.'zip$'| A__questionmark_v0) A__questionmark_v1)) (|tptp.'pair$'| (|tptp.'last$'| A__questionmark_v0) (|tptp.'last$'| A__questionmark_v1))))) (forall ((A__questionmark_v0 |tptp.'A_ltln_list_a_ltln_list_prod_list_a_ltln_list_a_ltln_list_prod_list_prod$'|)) (=> (and (forall ((A__questionmark_v1 |tptp.'A_ltln_list_a_ltln_list_prod_list$'|)) (=> (= A__questionmark_v0 (|tptp.'pair$a'| |tptp.'nil$'| A__questionmark_v1)) false)) (forall ((A__questionmark_v1 |tptp.'A_ltln_list_a_ltln_list_prod$'|) (A__questionmark_v2 |tptp.'A_ltln_list_a_ltln_list_prod_list$'|) (A__questionmark_v3 |tptp.'A_ltln_list_a_ltln_list_prod_list$'|)) (=> (= A__questionmark_v0 (|tptp.'pair$a'| (|tptp.'fun_app$r'| (|tptp.'fun_app$s'| |tptp.'cons$e'| A__questionmark_v1) A__questionmark_v2) A__questionmark_v3)) false))) false)) (forall ((A__questionmark_v0 |tptp.'A_ltln_list_a_ltln_list_prod_list_a_ltln_list_a_ltln_list_prod_list_prod$'|)) (=> (and (forall ((A__questionmark_v1 |tptp.'A_ltln_list_a_ltln_list_prod_list$'|)) (=> (= A__questionmark_v0 (|tptp.'pair$a'| |tptp.'nil$'| A__questionmark_v1)) false)) (forall ((A__questionmark_v1 |tptp.'A_ltln_list_a_ltln_list_prod_list$'|)) (=> (= A__questionmark_v0 (|tptp.'pair$a'| A__questionmark_v1 |tptp.'nil$'|)) false)) (forall ((A__questionmark_v1 |tptp.'A_ltln_list_a_ltln_list_prod$'|) (A__questionmark_v2 |tptp.'A_ltln_list_a_ltln_list_prod_list$'|) (A__questionmark_v3 |tptp.'A_ltln_list_a_ltln_list_prod$'|) (A__questionmark_v4 |tptp.'A_ltln_list_a_ltln_list_prod_list$'|)) (=> (= A__questionmark_v0 (|tptp.'pair$a'| (|tptp.'fun_app$r'| (|tptp.'fun_app$s'| |tptp.'cons$e'| A__questionmark_v1) A__questionmark_v2) (|tptp.'fun_app$r'| (|tptp.'fun_app$s'| |tptp.'cons$e'| A__questionmark_v3) A__questionmark_v4))) false))) false)) (forall ((A__questionmark_v0 |tptp.'A_ltln_list_a_ltln_list_prod_list_a_ltln_list_a_ltln_list_prod_list_prod$'|)) (=> (and (forall ((A__questionmark_v1 |tptp.'A_ltln_list_a_ltln_list_prod$'|) (A__questionmark_v2 |tptp.'A_ltln_list_a_ltln_list_prod_list$'|) (A__questionmark_v3 |tptp.'A_ltln_list_a_ltln_list_prod$'|) (A__questionmark_v4 |tptp.'A_ltln_list_a_ltln_list_prod_list$'|)) (=> (= A__questionmark_v0 (|tptp.'pair$a'| (|tptp.'fun_app$r'| (|tptp.'fun_app$s'| |tptp.'cons$e'| A__questionmark_v1) A__questionmark_v2) (|tptp.'fun_app$r'| (|tptp.'fun_app$s'| |tptp.'cons$e'| A__questionmark_v3) A__questionmark_v4))) false)) (forall ((A__questionmark_v1 |tptp.'A_ltln_list_a_ltln_list_prod_list$'|)) (=> (= A__questionmark_v0 (|tptp.'pair$a'| |tptp.'nil$'| A__questionmark_v1)) false)) (forall ((A__questionmark_v1 |tptp.'A_ltln_list_a_ltln_list_prod_list$'|)) (=> (= A__questionmark_v0 (|tptp.'pair$a'| A__questionmark_v1 |tptp.'nil$'|)) false))) false)) (forall ((A__questionmark_v0 |tptp.'Nat$'|)) (<= 0 (|tptp.'of_nat$'| A__questionmark_v0))) (forall ((A__questionmark_v0 |tptp.'Nat$'|)) (= (|tptp.'nat$'| (|tptp.'of_nat$'| A__questionmark_v0)) A__questionmark_v0)) (forall ((A__questionmark_v0 Int)) (let ((_let_1 (|tptp.'of_nat$'| (|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)))))))))))))))))))))))
% 0.62/1.28  )
% 0.62/1.28  % SZS output end Proof for ITP001_1
% 0.62/1.28  % cvc5---1.0.5 exiting
% 0.62/1.28  % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------