TSTP Solution File: ITP399_1 by cvc5---1.0.5
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%------------------------------------------------------------------------------
% File : cvc5---1.0.5
% Problem : ITP399_1 : TPTP v8.2.0. Released v8.0.0.
% Transfm : none
% Format : tptp:raw
% Command : do_cvc5 %s %d
% Computer : n007.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Wed May 29 17:14:16 EDT 2024
% Result : Theorem 1.08s 1.31s
% Output : Proof 1.15s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.34 % Problem : ITP399_1 : TPTP v8.2.0. Released v8.0.0.
% 0.12/0.35 % Command : do_cvc5 %s %d
% 0.34/0.56 % Computer : n007.cluster.edu
% 0.34/0.56 % Model : x86_64 x86_64
% 0.34/0.56 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.34/0.56 % Memory : 8042.1875MB
% 0.34/0.56 % OS : Linux 3.10.0-693.el7.x86_64
% 0.34/0.56 % CPULimit : 300
% 0.34/0.56 % WCLimit : 300
% 0.34/0.56 % DateTime : Sun May 26 02:13:54 EDT 2024
% 0.34/0.56 % CPUTime :
% 0.42/1.01 %----Proving TF0_NAR, FOF, or CNF
% 1.08/1.31 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 1.08/1.31 % SZS status Theorem for /export/starexec/sandbox2/tmp/tmp.Uk0ohtT9UB/cvc5---1.0.5_17426.smt2
% 1.08/1.31 % SZS output start Proof for /export/starexec/sandbox2/tmp/tmp.Uk0ohtT9UB/cvc5---1.0.5_17426.smt2
% 1.08/1.31 (assume a0 (not (|tptp.'complements$'| |tptp.'g$'| (|tptp.'register_pair$'| |tptp.'f$'| (|tptp.'complement$'| (|tptp.'register_pair$a'| |tptp.'f$'| |tptp.'g$'|))))))
% 1.08/1.31 (assume a1 (|tptp.'regular_register$'| |tptp.'f$'|))
% 1.08/1.31 (assume a2 (|tptp.'regular_register$a'| |tptp.'g$'|))
% 1.08/1.31 (assume a3 (|tptp.'compatible$'| |tptp.'f$'| |tptp.'g$'|))
% 1.08/1.31 (assume a4 (|tptp.'complements$a'| |tptp.'f$'| (|tptp.'register_pair$b'| |tptp.'g$'| (|tptp.'complement$'| (|tptp.'register_pair$a'| |tptp.'f$'| |tptp.'g$'|)))))
% 1.08/1.31 (assume a5 (forall ((A__questionmark_v0 |tptp.'A_a_c_prod_b_complement_domain_prod_ell2_a_a_c_prod_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'|) (A__questionmark_v1 |tptp.'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'|)) (=> (|tptp.'complements$b'| A__questionmark_v0 A__questionmark_v1) (|tptp.'complements$'| A__questionmark_v1 A__questionmark_v0))))
% 1.08/1.31 (assume a6 (forall ((A__questionmark_v0 |tptp.'C_a_c_prod_b_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'|) (A__questionmark_v1 |tptp.'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'|)) (=> (|tptp.'complements$c'| A__questionmark_v0 A__questionmark_v1) (|tptp.'complements$a'| A__questionmark_v1 A__questionmark_v0))))
% 1.08/1.31 (assume a7 (forall ((A__questionmark_v0 |tptp.'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'|) (A__questionmark_v1 |tptp.'A_a_c_prod_b_complement_domain_prod_ell2_a_a_c_prod_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'|)) (=> (|tptp.'complements$'| A__questionmark_v0 A__questionmark_v1) (|tptp.'complements$b'| A__questionmark_v1 A__questionmark_v0))))
% 1.08/1.31 (assume a8 (forall ((A__questionmark_v0 |tptp.'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'|) (A__questionmark_v1 |tptp.'C_a_c_prod_b_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'|)) (=> (|tptp.'complements$a'| A__questionmark_v0 A__questionmark_v1) (|tptp.'complements$c'| A__questionmark_v1 A__questionmark_v0))))
% 1.08/1.31 (assume a9 (forall ((A__questionmark_v0 |tptp.'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'|) (A__questionmark_v1 |tptp.'A_a_c_prod_b_complement_domain_prod_ell2_a_a_c_prod_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'|)) (=> (|tptp.'compatible$a'| A__questionmark_v0 A__questionmark_v1) (|tptp.'complements$d'| A__questionmark_v0 (|tptp.'register_pair$c'| A__questionmark_v1 (|tptp.'complement$a'| (|tptp.'register_pair$d'| A__questionmark_v0 A__questionmark_v1)))))))
% 1.08/1.31 (assume a10 (forall ((A__questionmark_v0 |tptp.'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'|) (A__questionmark_v1 |tptp.'A_c_prod_b_complement_domain_ell2_a_c_prod_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'|)) (=> (|tptp.'compatible$b'| A__questionmark_v0 A__questionmark_v1) (|tptp.'complements$e'| A__questionmark_v0 (|tptp.'register_pair$e'| A__questionmark_v1 (|tptp.'complement$b'| (|tptp.'register_pair$'| A__questionmark_v0 A__questionmark_v1)))))))
% 1.08/1.31 (assume a11 (forall ((A__questionmark_v0 |tptp.'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'|) (A__questionmark_v1 |tptp.'A_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'|)) (=> (|tptp.'compatible$c'| A__questionmark_v0 A__questionmark_v1) (|tptp.'complements$f'| A__questionmark_v0 (|tptp.'register_pair$f'| A__questionmark_v1 (|tptp.'complement$c'| (|tptp.'register_pair$g'| A__questionmark_v0 A__questionmark_v1)))))))
% 1.08/1.31 (assume a12 (forall ((A__questionmark_v0 |tptp.'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'|) (A__questionmark_v1 |tptp.'C_a_c_prod_b_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'|)) (=> (|tptp.'compatible$d'| A__questionmark_v0 A__questionmark_v1) (|tptp.'complements$g'| A__questionmark_v0 (|tptp.'register_pair$h'| A__questionmark_v1 (|tptp.'complement$d'| (|tptp.'register_pair$i'| A__questionmark_v0 A__questionmark_v1)))))))
% 1.08/1.31 (assume a13 (forall ((A__questionmark_v0 |tptp.'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'|) (A__questionmark_v1 |tptp.'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'|)) (=> (|tptp.'compatible$'| A__questionmark_v0 A__questionmark_v1) (|tptp.'complements$a'| A__questionmark_v0 (|tptp.'register_pair$b'| A__questionmark_v1 (|tptp.'complement$'| (|tptp.'register_pair$a'| A__questionmark_v0 A__questionmark_v1)))))))
% 1.08/1.31 (assume a14 (forall ((A__questionmark_v0 |tptp.'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'|) (A__questionmark_v1 |tptp.'A_a_c_prod_b_complement_domain_prod_ell2_a_a_c_prod_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'|)) (=> (|tptp.'compatible$a'| A__questionmark_v0 A__questionmark_v1) (|tptp.'complements$h'| A__questionmark_v1 (|tptp.'register_pair$j'| A__questionmark_v0 (|tptp.'complement$a'| (|tptp.'register_pair$d'| A__questionmark_v0 A__questionmark_v1)))))))
% 1.08/1.31 (assume a15 (forall ((A__questionmark_v0 |tptp.'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'|) (A__questionmark_v1 |tptp.'A_c_prod_b_complement_domain_ell2_a_c_prod_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'|)) (=> (|tptp.'compatible$b'| A__questionmark_v0 A__questionmark_v1) (|tptp.'complements$i'| A__questionmark_v1 (|tptp.'register_pair$k'| A__questionmark_v0 (|tptp.'complement$b'| (|tptp.'register_pair$'| A__questionmark_v0 A__questionmark_v1)))))))
% 1.08/1.31 (assume a16 (forall ((A__questionmark_v0 |tptp.'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'|) (A__questionmark_v1 |tptp.'A_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'|)) (=> (|tptp.'compatible$c'| A__questionmark_v0 A__questionmark_v1) (|tptp.'complements$j'| A__questionmark_v1 (|tptp.'register_pair$l'| A__questionmark_v0 (|tptp.'complement$c'| (|tptp.'register_pair$g'| A__questionmark_v0 A__questionmark_v1)))))))
% 1.08/1.31 (assume a17 (forall ((A__questionmark_v0 |tptp.'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'|) (A__questionmark_v1 |tptp.'C_a_c_prod_b_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'|)) (=> (|tptp.'compatible$d'| A__questionmark_v0 A__questionmark_v1) (|tptp.'complements$k'| A__questionmark_v1 (|tptp.'register_pair$m'| A__questionmark_v0 (|tptp.'complement$d'| (|tptp.'register_pair$i'| A__questionmark_v0 A__questionmark_v1)))))))
% 1.08/1.31 (assume a18 (forall ((A__questionmark_v0 |tptp.'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'|) (A__questionmark_v1 |tptp.'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'|)) (=> (|tptp.'compatible$'| A__questionmark_v0 A__questionmark_v1) (|tptp.'complements$'| A__questionmark_v1 (|tptp.'register_pair$'| A__questionmark_v0 (|tptp.'complement$'| (|tptp.'register_pair$a'| A__questionmark_v0 A__questionmark_v1)))))))
% 1.08/1.31 (assume a19 (|tptp.'register$'| |tptp.'g$'|))
% 1.08/1.31 (assume a20 (|tptp.'register$a'| |tptp.'f$'|))
% 1.08/1.31 (assume a21 (|tptp.'equivalent_registers$'| (|tptp.'complement$e'| |tptp.'f$'|) (|tptp.'register_pair$b'| |tptp.'g$'| (|tptp.'complement$'| (|tptp.'register_pair$a'| |tptp.'f$'| |tptp.'g$'|)))))
% 1.08/1.31 (assume a22 (= (|tptp.'register_pair$b'| |tptp.'g$'| (|tptp.'complement$'| (|tptp.'register_pair$a'| |tptp.'f$'| |tptp.'g$'|))) (|tptp.'comp$'| (|tptp.'complement$e'| |tptp.'f$'|) |tptp.'i$'|)))
% 1.08/1.31 (assume a23 (forall ((A__questionmark_v0 |tptp.'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'|) (A__questionmark_v1 |tptp.'A_a_c_prod_b_complement_domain_prod_ell2_a_a_c_prod_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'|)) (=> (|tptp.'complements$'| A__questionmark_v0 A__questionmark_v1) (|tptp.'equivalent_registers$a'| A__questionmark_v1 (|tptp.'complement$f'| A__questionmark_v0)))))
% 1.08/1.31 (assume a24 (forall ((A__questionmark_v0 |tptp.'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'|) (A__questionmark_v1 |tptp.'C_a_c_prod_b_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'|)) (=> (|tptp.'complements$a'| A__questionmark_v0 A__questionmark_v1) (|tptp.'equivalent_registers$b'| A__questionmark_v1 (|tptp.'complement$e'| A__questionmark_v0)))))
% 1.08/1.31 (assume a25 (=> (forall ((A__questionmark_v0 |tptp.'C_a_c_prod_b_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_ell2_cblinfun_a_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_fun$'|)) (=> (and (|tptp.'iso_register$'| A__questionmark_v0) (= (|tptp.'register_pair$b'| |tptp.'g$'| (|tptp.'complement$'| (|tptp.'register_pair$a'| |tptp.'f$'| |tptp.'g$'|))) (|tptp.'comp$'| (|tptp.'complement$e'| |tptp.'f$'|) A__questionmark_v0))) false)) false))
% 1.08/1.31 (assume a26 (|tptp.'bij_betw$'| (|tptp.'register_pair$n'| (|tptp.'register_pair$a'| |tptp.'f$'| |tptp.'g$'|) (|tptp.'complement$'| (|tptp.'register_pair$a'| |tptp.'f$'| |tptp.'g$'|))) |tptp.'top$'| |tptp.'top$a'|))
% 1.08/1.31 (assume a27 (= |tptp.'t3$'| (|tptp.'fun_app$'| (|tptp.'inv_into$'| |tptp.'top$b'| (|tptp.'register_pair$d'| |tptp.'g$'| (|tptp.'register_pair$'| |tptp.'f$'| (|tptp.'complement$'| (|tptp.'register_pair$a'| |tptp.'f$'| |tptp.'g$'|))))) (|tptp.'butterfly$'| (|tptp.'ket$'| |tptp.'default$'|) (|tptp.'ket$'| |tptp.'default$'|)))))
% 1.08/1.31 (assume a28 (|tptp.'iso_register$'| |tptp.'i$'|))
% 1.08/1.31 (assume a29 (forall ((A__questionmark_v0 |tptp.'A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_fun$'|) (A__questionmark_v1 |tptp.'B_ell2_b_ell2_cblinfun_a_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_fun$'|)) (=> (and (|tptp.'register$b'| A__questionmark_v0) (|tptp.'register$c'| A__questionmark_v1)) (|tptp.'complements$l'| (|tptp.'comp$a'| A__questionmark_v0 A__questionmark_v1) (|tptp.'register_pair$o'| (|tptp.'complement$g'| A__questionmark_v0) (|tptp.'comp$b'| A__questionmark_v0 (|tptp.'complement$h'| A__questionmark_v1)))))))
% 1.08/1.31 (assume a30 (forall ((A__questionmark_v0 |tptp.'A_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'|) (A__questionmark_v1 |tptp.'C_a_c_prod_b_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_ell2_cblinfun_a_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_fun$'|)) (=> (and (|tptp.'register$d'| A__questionmark_v0) (|tptp.'register$e'| A__questionmark_v1)) (|tptp.'complements$m'| (|tptp.'comp$'| A__questionmark_v0 A__questionmark_v1) (|tptp.'register_pair$p'| (|tptp.'complement$i'| A__questionmark_v0) (|tptp.'comp$c'| A__questionmark_v0 (|tptp.'complement$j'| A__questionmark_v1)))))))
% 1.08/1.31 (assume a31 (forall ((A__questionmark_v0 |tptp.'C_a_c_prod_b_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_ell2_cblinfun_a_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_fun$'|)) (=> (|tptp.'register$e'| A__questionmark_v0) (|tptp.'register$f'| (|tptp.'complement$j'| A__questionmark_v0)))))
% 1.08/1.31 (assume a32 (forall ((A__questionmark_v0 |tptp.'A_c_prod_ell2_a_c_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'|)) (=> (|tptp.'register$g'| A__questionmark_v0) (|tptp.'register$h'| (|tptp.'complement$'| A__questionmark_v0)))))
% 1.08/1.31 (assume a33 (forall ((A__questionmark_v0 |tptp.'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'|)) (=> (|tptp.'register$a'| A__questionmark_v0) (|tptp.'register$d'| (|tptp.'complement$e'| A__questionmark_v0)))))
% 1.08/1.31 (assume a34 (forall ((A__questionmark_v0 |tptp.'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'|)) (=> (|tptp.'register$'| A__questionmark_v0) (|tptp.'register$i'| (|tptp.'complement$f'| A__questionmark_v0)))))
% 1.08/1.31 (assume a35 (forall ((A__questionmark_v0 |tptp.'C_a_c_prod_b_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_ell2_cblinfun_a_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_fun$'|)) (=> (|tptp.'register$e'| A__questionmark_v0) (|tptp.'compatible$e'| A__questionmark_v0 (|tptp.'complement$j'| A__questionmark_v0)))))
% 1.08/1.31 (assume a36 (forall ((A__questionmark_v0 |tptp.'A_c_prod_ell2_a_c_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'|)) (=> (|tptp.'register$g'| A__questionmark_v0) (|tptp.'compatible$f'| A__questionmark_v0 (|tptp.'complement$'| A__questionmark_v0)))))
% 1.08/1.31 (assume a37 (forall ((A__questionmark_v0 |tptp.'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'|)) (=> (|tptp.'register$a'| A__questionmark_v0) (|tptp.'compatible$c'| A__questionmark_v0 (|tptp.'complement$e'| A__questionmark_v0)))))
% 1.08/1.31 (assume a38 (forall ((A__questionmark_v0 |tptp.'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'|)) (=> (|tptp.'register$'| A__questionmark_v0) (|tptp.'compatible$g'| A__questionmark_v0 (|tptp.'complement$f'| A__questionmark_v0)))))
% 1.08/1.31 (assume a39 (forall ((A__questionmark_v0 |tptp.'C_a_c_prod_b_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_ell2_cblinfun_a_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_fun$'|)) (=> (|tptp.'register$e'| A__questionmark_v0) (|tptp.'compatible$h'| (|tptp.'complement$j'| A__questionmark_v0) A__questionmark_v0))))
% 1.08/1.31 (assume a40 (forall ((A__questionmark_v0 |tptp.'A_c_prod_ell2_a_c_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'|)) (=> (|tptp.'register$g'| A__questionmark_v0) (|tptp.'compatible$i'| (|tptp.'complement$'| A__questionmark_v0) A__questionmark_v0))))
% 1.08/1.31 (assume a41 (forall ((A__questionmark_v0 |tptp.'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'|)) (=> (|tptp.'register$a'| A__questionmark_v0) (|tptp.'compatible$j'| (|tptp.'complement$e'| A__questionmark_v0) A__questionmark_v0))))
% 1.08/1.31 (assume a42 (forall ((A__questionmark_v0 |tptp.'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'|)) (=> (|tptp.'register$'| A__questionmark_v0) (|tptp.'compatible$k'| (|tptp.'complement$f'| A__questionmark_v0) A__questionmark_v0))))
% 1.08/1.31 (assume a43 (forall ((A__questionmark_v0 |tptp.'C_a_c_prod_b_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_ell2_cblinfun_a_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_fun$'|)) (=> (|tptp.'register$e'| A__questionmark_v0) (|tptp.'compatible$e'| A__questionmark_v0 (|tptp.'complement$j'| A__questionmark_v0)))))
% 1.08/1.31 (assume a44 (forall ((A__questionmark_v0 |tptp.'A_c_prod_ell2_a_c_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'|)) (=> (|tptp.'register$g'| A__questionmark_v0) (|tptp.'compatible$f'| A__questionmark_v0 (|tptp.'complement$'| A__questionmark_v0)))))
% 1.08/1.31 (assume a45 (forall ((A__questionmark_v0 |tptp.'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'|)) (=> (|tptp.'register$a'| A__questionmark_v0) (|tptp.'compatible$c'| A__questionmark_v0 (|tptp.'complement$e'| A__questionmark_v0)))))
% 1.08/1.31 (assume a46 (forall ((A__questionmark_v0 |tptp.'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'|)) (=> (|tptp.'register$'| A__questionmark_v0) (|tptp.'compatible$g'| A__questionmark_v0 (|tptp.'complement$f'| A__questionmark_v0)))))
% 1.08/1.31 (assume a47 (forall ((A__questionmark_v0 |tptp.'C_a_c_prod_b_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_ell2_cblinfun_a_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_fun$'|)) (=> (|tptp.'register$e'| A__questionmark_v0) (|tptp.'complements$n'| A__questionmark_v0 (|tptp.'complement$j'| A__questionmark_v0)))))
% 1.08/1.31 (assume a48 (forall ((A__questionmark_v0 |tptp.'A_c_prod_ell2_a_c_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'|)) (=> (|tptp.'register$g'| A__questionmark_v0) (|tptp.'complements$o'| A__questionmark_v0 (|tptp.'complement$'| A__questionmark_v0)))))
% 1.08/1.31 (assume a49 (forall ((A__questionmark_v0 |tptp.'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'|)) (=> (|tptp.'register$a'| A__questionmark_v0) (|tptp.'complements$p'| A__questionmark_v0 (|tptp.'complement$e'| A__questionmark_v0)))))
% 1.08/1.31 (assume a50 (forall ((A__questionmark_v0 |tptp.'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'|)) (=> (|tptp.'register$'| A__questionmark_v0) (|tptp.'complements$q'| A__questionmark_v0 (|tptp.'complement$f'| A__questionmark_v0)))))
% 1.08/1.31 (assume a51 (forall ((A__questionmark_v0 |tptp.'A_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'|) (A__questionmark_v1 |tptp.'C_a_c_prod_b_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'|)) (=> (|tptp.'equivalent_registers$'| A__questionmark_v0 A__questionmark_v1) (|tptp.'equivalent_registers$c'| (|tptp.'complement$i'| A__questionmark_v0) (|tptp.'complement$k'| A__questionmark_v1)))))
% 1.08/1.31 (assume a52 (forall ((A__questionmark_v0 |tptp.'A_c_prod_ell2_a_c_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'|) (A__questionmark_v1 |tptp.'A_c_prod_ell2_a_c_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'|)) (=> (|tptp.'equivalent_registers$d'| A__questionmark_v0 A__questionmark_v1) (|tptp.'equivalent_registers$e'| (|tptp.'complement$'| A__questionmark_v0) (|tptp.'complement$'| A__questionmark_v1)))))
% 1.08/1.31 (assume a53 (forall ((A__questionmark_v0 |tptp.'A_c_prod_ell2_a_c_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'|) (A__questionmark_v1 |tptp.'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'|)) (=> (|tptp.'equivalent_registers$f'| A__questionmark_v0 A__questionmark_v1) (|tptp.'equivalent_registers$g'| (|tptp.'complement$'| A__questionmark_v0) (|tptp.'complement$e'| A__questionmark_v1)))))
% 1.08/1.31 (assume a54 (forall ((A__questionmark_v0 |tptp.'A_c_prod_ell2_a_c_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'|) (A__questionmark_v1 |tptp.'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'|)) (=> (|tptp.'equivalent_registers$h'| A__questionmark_v0 A__questionmark_v1) (|tptp.'equivalent_registers$i'| (|tptp.'complement$'| A__questionmark_v0) (|tptp.'complement$f'| A__questionmark_v1)))))
% 1.08/1.31 (assume a55 (forall ((A__questionmark_v0 |tptp.'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'|) (A__questionmark_v1 |tptp.'A_c_prod_ell2_a_c_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'|)) (=> (|tptp.'equivalent_registers$j'| A__questionmark_v0 A__questionmark_v1) (|tptp.'equivalent_registers$k'| (|tptp.'complement$e'| A__questionmark_v0) (|tptp.'complement$'| A__questionmark_v1)))))
% 1.08/1.31 (assume a56 (forall ((A__questionmark_v0 |tptp.'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'|) (A__questionmark_v1 |tptp.'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'|)) (=> (|tptp.'equivalent_registers$l'| A__questionmark_v0 A__questionmark_v1) (|tptp.'equivalent_registers$m'| (|tptp.'complement$e'| A__questionmark_v0) (|tptp.'complement$e'| A__questionmark_v1)))))
% 1.08/1.31 (assume a57 (forall ((A__questionmark_v0 |tptp.'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'|) (A__questionmark_v1 |tptp.'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'|)) (=> (|tptp.'equivalent_registers$n'| A__questionmark_v0 A__questionmark_v1) (|tptp.'equivalent_registers$o'| (|tptp.'complement$e'| A__questionmark_v0) (|tptp.'complement$f'| A__questionmark_v1)))))
% 1.08/1.31 (assume a58 (forall ((A__questionmark_v0 |tptp.'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'|) (A__questionmark_v1 |tptp.'A_c_prod_ell2_a_c_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'|)) (=> (|tptp.'equivalent_registers$p'| A__questionmark_v0 A__questionmark_v1) (|tptp.'equivalent_registers$q'| (|tptp.'complement$f'| A__questionmark_v0) (|tptp.'complement$'| A__questionmark_v1)))))
% 1.08/1.31 (assume a59 (forall ((A__questionmark_v0 |tptp.'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'|) (A__questionmark_v1 |tptp.'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'|)) (=> (|tptp.'equivalent_registers$r'| A__questionmark_v0 A__questionmark_v1) (|tptp.'equivalent_registers$s'| (|tptp.'complement$f'| A__questionmark_v0) (|tptp.'complement$e'| A__questionmark_v1)))))
% 1.08/1.31 (assume a60 (forall ((A__questionmark_v0 |tptp.'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'|) (A__questionmark_v1 |tptp.'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'|)) (=> (|tptp.'equivalent_registers$t'| A__questionmark_v0 A__questionmark_v1) (|tptp.'equivalent_registers$u'| (|tptp.'complement$f'| A__questionmark_v0) (|tptp.'complement$f'| A__questionmark_v1)))))
% 1.08/1.31 (assume a61 (forall ((A__questionmark_v0 |tptp.'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'|) (A__questionmark_v1 |tptp.'A_a_c_prod_b_complement_domain_prod_ell2_a_a_c_prod_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'|)) (=> (|tptp.'compatible$a'| A__questionmark_v0 A__questionmark_v1) (|tptp.'compatible$l'| A__questionmark_v1 (|tptp.'complement$a'| (|tptp.'register_pair$d'| A__questionmark_v0 A__questionmark_v1))))))
% 1.08/1.31 (assume a62 (forall ((A__questionmark_v0 |tptp.'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'|) (A__questionmark_v1 |tptp.'A_c_prod_b_complement_domain_ell2_a_c_prod_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'|)) (=> (|tptp.'compatible$b'| A__questionmark_v0 A__questionmark_v1) (|tptp.'compatible$m'| A__questionmark_v1 (|tptp.'complement$b'| (|tptp.'register_pair$'| A__questionmark_v0 A__questionmark_v1))))))
% 1.08/1.31 (assume a63 (forall ((A__questionmark_v0 |tptp.'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'|) (A__questionmark_v1 |tptp.'A_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'|)) (=> (|tptp.'compatible$c'| A__questionmark_v0 A__questionmark_v1) (|tptp.'compatible$n'| A__questionmark_v1 (|tptp.'complement$c'| (|tptp.'register_pair$g'| A__questionmark_v0 A__questionmark_v1))))))
% 1.08/1.31 (assume a64 (forall ((A__questionmark_v0 |tptp.'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'|) (A__questionmark_v1 |tptp.'C_a_c_prod_b_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'|)) (=> (|tptp.'compatible$d'| A__questionmark_v0 A__questionmark_v1) (|tptp.'compatible$o'| A__questionmark_v1 (|tptp.'complement$d'| (|tptp.'register_pair$i'| A__questionmark_v0 A__questionmark_v1))))))
% 1.08/1.31 (assume a65 (forall ((A__questionmark_v0 |tptp.'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'|) (A__questionmark_v1 |tptp.'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'|)) (=> (|tptp.'compatible$'| A__questionmark_v0 A__questionmark_v1) (|tptp.'compatible$p'| A__questionmark_v1 (|tptp.'complement$'| (|tptp.'register_pair$a'| A__questionmark_v0 A__questionmark_v1))))))
% 1.08/1.31 (assume a66 (forall ((A__questionmark_v0 |tptp.'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'|) (A__questionmark_v1 |tptp.'A_a_c_prod_b_complement_domain_prod_ell2_a_a_c_prod_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'|)) (=> (|tptp.'compatible$a'| A__questionmark_v0 A__questionmark_v1) (|tptp.'compatible$q'| A__questionmark_v0 (|tptp.'complement$a'| (|tptp.'register_pair$d'| A__questionmark_v0 A__questionmark_v1))))))
% 1.08/1.31 (assume a67 (forall ((A__questionmark_v0 |tptp.'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'|) (A__questionmark_v1 |tptp.'A_c_prod_b_complement_domain_ell2_a_c_prod_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'|)) (=> (|tptp.'compatible$b'| A__questionmark_v0 A__questionmark_v1) (|tptp.'compatible$r'| A__questionmark_v0 (|tptp.'complement$b'| (|tptp.'register_pair$'| A__questionmark_v0 A__questionmark_v1))))))
% 1.08/1.31 (assume a68 (forall ((A__questionmark_v0 |tptp.'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'|) (A__questionmark_v1 |tptp.'A_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'|)) (=> (|tptp.'compatible$c'| A__questionmark_v0 A__questionmark_v1) (|tptp.'compatible$s'| A__questionmark_v0 (|tptp.'complement$c'| (|tptp.'register_pair$g'| A__questionmark_v0 A__questionmark_v1))))))
% 1.08/1.31 (assume a69 (forall ((A__questionmark_v0 |tptp.'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'|) (A__questionmark_v1 |tptp.'C_a_c_prod_b_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'|)) (=> (|tptp.'compatible$d'| A__questionmark_v0 A__questionmark_v1) (|tptp.'compatible$t'| A__questionmark_v0 (|tptp.'complement$d'| (|tptp.'register_pair$i'| A__questionmark_v0 A__questionmark_v1))))))
% 1.08/1.31 (assume a70 (forall ((A__questionmark_v0 |tptp.'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'|) (A__questionmark_v1 |tptp.'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'|)) (=> (|tptp.'compatible$'| A__questionmark_v0 A__questionmark_v1) (|tptp.'compatible$b'| A__questionmark_v0 (|tptp.'complement$'| (|tptp.'register_pair$a'| A__questionmark_v0 A__questionmark_v1))))))
% 1.08/1.31 (assume a71 (forall ((A__questionmark_v0 |tptp.'C_ell2_c_ell2_cblinfun_a_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_fun$'|) (A__questionmark_v1 |tptp.'A_c_prod_b_complement_domain_ell2_a_c_prod_b_complement_domain_ell2_cblinfun_a_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_fun$'|)) (= (|tptp.'complements$r'| A__questionmark_v0 A__questionmark_v1) (and (|tptp.'compatible$u'| A__questionmark_v0 A__questionmark_v1) (|tptp.'iso_register$'| (|tptp.'register_pair$q'| A__questionmark_v0 A__questionmark_v1))))))
% 1.08/1.31 (assume a72 (forall ((A__questionmark_v0 |tptp.'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'|) (A__questionmark_v1 |tptp.'A_c_prod_b_complement_domain_ell2_a_c_prod_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'|)) (= (|tptp.'complements$s'| A__questionmark_v0 A__questionmark_v1) (and (|tptp.'compatible$b'| A__questionmark_v0 A__questionmark_v1) (|tptp.'iso_register$a'| (|tptp.'register_pair$'| A__questionmark_v0 A__questionmark_v1))))))
% 1.08/1.31 (assume a73 (forall ((A__questionmark_v0 |tptp.'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'|) (A__questionmark_v1 |tptp.'A_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'|)) (= (|tptp.'complements$p'| A__questionmark_v0 A__questionmark_v1) (and (|tptp.'compatible$c'| A__questionmark_v0 A__questionmark_v1) (|tptp.'iso_register$b'| (|tptp.'register_pair$g'| A__questionmark_v0 A__questionmark_v1))))))
% 1.08/1.31 (assume a74 (forall ((A__questionmark_v0 |tptp.'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'|) (A__questionmark_v1 |tptp.'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'|)) (= (|tptp.'complements$t'| A__questionmark_v0 A__questionmark_v1) (and (|tptp.'compatible$'| A__questionmark_v0 A__questionmark_v1) (|tptp.'iso_register$c'| (|tptp.'register_pair$a'| A__questionmark_v0 A__questionmark_v1))))))
% 1.08/1.31 (assume a75 (forall ((A__questionmark_v0 |tptp.'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'|) (A__questionmark_v1 |tptp.'A_a_c_prod_b_complement_domain_prod_ell2_a_a_c_prod_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'|)) (= (|tptp.'complements$'| A__questionmark_v0 A__questionmark_v1) (and (|tptp.'compatible$a'| A__questionmark_v0 A__questionmark_v1) (|tptp.'iso_register$d'| (|tptp.'register_pair$d'| A__questionmark_v0 A__questionmark_v1))))))
% 1.08/1.31 (assume a76 (forall ((A__questionmark_v0 |tptp.'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'|) (A__questionmark_v1 |tptp.'C_a_c_prod_b_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'|)) (= (|tptp.'complements$a'| A__questionmark_v0 A__questionmark_v1) (and (|tptp.'compatible$d'| A__questionmark_v0 A__questionmark_v1) (|tptp.'iso_register$e'| (|tptp.'register_pair$i'| A__questionmark_v0 A__questionmark_v1))))))
% 1.08/1.31 (assume a77 (forall ((A__questionmark_v0 |tptp.'C_ell2_c_ell2_cblinfun_a_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_fun$'|) (A__questionmark_v1 |tptp.'A_c_prod_b_complement_domain_ell2_a_c_prod_b_complement_domain_ell2_cblinfun_a_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_fun$'|)) (=> (and (|tptp.'compatible$u'| A__questionmark_v0 A__questionmark_v1) (|tptp.'iso_register$'| (|tptp.'register_pair$q'| A__questionmark_v0 A__questionmark_v1))) (|tptp.'complements$r'| A__questionmark_v0 A__questionmark_v1))))
% 1.08/1.31 (assume a78 (forall ((A__questionmark_v0 |tptp.'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'|) (A__questionmark_v1 |tptp.'A_c_prod_b_complement_domain_ell2_a_c_prod_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'|)) (=> (and (|tptp.'compatible$b'| A__questionmark_v0 A__questionmark_v1) (|tptp.'iso_register$a'| (|tptp.'register_pair$'| A__questionmark_v0 A__questionmark_v1))) (|tptp.'complements$s'| A__questionmark_v0 A__questionmark_v1))))
% 1.08/1.31 (assume a79 (forall ((A__questionmark_v0 |tptp.'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'|) (A__questionmark_v1 |tptp.'A_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'|)) (=> (and (|tptp.'compatible$c'| A__questionmark_v0 A__questionmark_v1) (|tptp.'iso_register$b'| (|tptp.'register_pair$g'| A__questionmark_v0 A__questionmark_v1))) (|tptp.'complements$p'| A__questionmark_v0 A__questionmark_v1))))
% 1.08/1.31 (assume a80 (forall ((A__questionmark_v0 |tptp.'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'|) (A__questionmark_v1 |tptp.'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'|)) (=> (and (|tptp.'compatible$'| A__questionmark_v0 A__questionmark_v1) (|tptp.'iso_register$c'| (|tptp.'register_pair$a'| A__questionmark_v0 A__questionmark_v1))) (|tptp.'complements$t'| A__questionmark_v0 A__questionmark_v1))))
% 1.08/1.31 (assume a81 (forall ((A__questionmark_v0 |tptp.'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'|) (A__questionmark_v1 |tptp.'A_a_c_prod_b_complement_domain_prod_ell2_a_a_c_prod_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'|)) (=> (and (|tptp.'compatible$a'| A__questionmark_v0 A__questionmark_v1) (|tptp.'iso_register$d'| (|tptp.'register_pair$d'| A__questionmark_v0 A__questionmark_v1))) (|tptp.'complements$'| A__questionmark_v0 A__questionmark_v1))))
% 1.08/1.31 (assume a82 (forall ((A__questionmark_v0 |tptp.'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'|) (A__questionmark_v1 |tptp.'C_a_c_prod_b_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'|)) (=> (and (|tptp.'compatible$d'| A__questionmark_v0 A__questionmark_v1) (|tptp.'iso_register$e'| (|tptp.'register_pair$i'| A__questionmark_v0 A__questionmark_v1))) (|tptp.'complements$a'| A__questionmark_v0 A__questionmark_v1))))
% 1.08/1.31 (assume a83 (forall ((A__questionmark_v0 |tptp.'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'|) (A__questionmark_v1 |tptp.'A_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'|) (A__questionmark_v2 |tptp.'C_a_c_prod_b_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'|)) (=> (and (|tptp.'complements$p'| A__questionmark_v0 A__questionmark_v1) (|tptp.'equivalent_registers$'| A__questionmark_v1 A__questionmark_v2)) (|tptp.'complements$a'| A__questionmark_v0 A__questionmark_v2))))
% 1.08/1.31 (assume a84 (forall ((A__questionmark_v0 |tptp.'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'|) (A__questionmark_v1 |tptp.'A_a_c_prod_b_complement_domain_prod_ell2_a_a_c_prod_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'|) (A__questionmark_v2 |tptp.'A_a_c_prod_b_complement_domain_prod_ell2_a_a_c_prod_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'|)) (=> (and (|tptp.'complements$'| A__questionmark_v0 A__questionmark_v1) (|tptp.'equivalent_registers$v'| A__questionmark_v1 A__questionmark_v2)) (|tptp.'complements$'| A__questionmark_v0 A__questionmark_v2))))
% 1.08/1.31 (assume a85 (forall ((A__questionmark_v0 |tptp.'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'|) (A__questionmark_v1 |tptp.'C_a_c_prod_b_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'|) (A__questionmark_v2 |tptp.'C_a_c_prod_b_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'|)) (=> (and (|tptp.'complements$a'| A__questionmark_v0 A__questionmark_v1) (|tptp.'equivalent_registers$w'| A__questionmark_v1 A__questionmark_v2)) (|tptp.'complements$a'| A__questionmark_v0 A__questionmark_v2))))
% 1.08/1.31 (assume a86 (forall ((A__questionmark_v0 |tptp.'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'|) (A__questionmark_v1 |tptp.'A_ell2_a_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$'|) (A__questionmark_v2 |tptp.'C_ell2_c_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$'|)) (=> (and (|tptp.'register$'| A__questionmark_v0) (|tptp.'compatible$v'| A__questionmark_v1 A__questionmark_v2)) (= (|tptp.'register_pair$a'| (|tptp.'comp$d'| A__questionmark_v0 A__questionmark_v1) (|tptp.'comp$e'| A__questionmark_v0 A__questionmark_v2)) (|tptp.'comp$f'| A__questionmark_v0 (|tptp.'register_pair$r'| A__questionmark_v1 A__questionmark_v2))))))
% 1.08/1.31 (assume a87 (forall ((A__questionmark_v0 |tptp.'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'|) (A__questionmark_v1 |tptp.'A_ell2_a_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$'|) (A__questionmark_v2 |tptp.'C_ell2_c_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$'|)) (=> (and (|tptp.'register$a'| A__questionmark_v0) (|tptp.'compatible$w'| A__questionmark_v1 A__questionmark_v2)) (= (|tptp.'register_pair$a'| (|tptp.'comp$g'| A__questionmark_v0 A__questionmark_v1) (|tptp.'comp$h'| A__questionmark_v0 A__questionmark_v2)) (|tptp.'comp$i'| A__questionmark_v0 (|tptp.'register_pair$s'| A__questionmark_v1 A__questionmark_v2))))))
% 1.08/1.31 (assume a88 (forall ((A__questionmark_v0 |tptp.'B_ell2_b_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'|) (A__questionmark_v1 |tptp.'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'|) (A__questionmark_v2 |tptp.'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'|)) (=> (and (|tptp.'register$j'| A__questionmark_v0) (|tptp.'compatible$'| A__questionmark_v1 A__questionmark_v2)) (= (|tptp.'register_pair$a'| (|tptp.'comp$j'| A__questionmark_v0 A__questionmark_v1) (|tptp.'comp$k'| A__questionmark_v0 A__questionmark_v2)) (|tptp.'comp$l'| A__questionmark_v0 (|tptp.'register_pair$a'| A__questionmark_v1 A__questionmark_v2))))))
% 1.08/1.31 (assume a89 (forall ((A__questionmark_v0 |tptp.'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'|) (A__questionmark_v1 |tptp.'A_ell2_a_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$'|) (A__questionmark_v2 |tptp.'A_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$'|)) (=> (and (|tptp.'register$'| A__questionmark_v0) (|tptp.'compatible$x'| A__questionmark_v1 A__questionmark_v2)) (= (|tptp.'register_pair$g'| (|tptp.'comp$d'| A__questionmark_v0 A__questionmark_v1) (|tptp.'comp$m'| A__questionmark_v0 A__questionmark_v2)) (|tptp.'comp$n'| A__questionmark_v0 (|tptp.'register_pair$t'| A__questionmark_v1 A__questionmark_v2))))))
% 1.08/1.31 (assume a90 (forall ((A__questionmark_v0 |tptp.'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'|) (A__questionmark_v1 |tptp.'A_ell2_a_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$'|) (A__questionmark_v2 |tptp.'A_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$'|)) (=> (and (|tptp.'register$a'| A__questionmark_v0) (|tptp.'compatible$y'| A__questionmark_v1 A__questionmark_v2)) (= (|tptp.'register_pair$g'| (|tptp.'comp$g'| A__questionmark_v0 A__questionmark_v1) (|tptp.'comp$o'| A__questionmark_v0 A__questionmark_v2)) (|tptp.'comp$p'| A__questionmark_v0 (|tptp.'register_pair$u'| A__questionmark_v1 A__questionmark_v2))))))
% 1.08/1.31 (assume a91 (forall ((A__questionmark_v0 |tptp.'B_ell2_b_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'|) (A__questionmark_v1 |tptp.'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'|) (A__questionmark_v2 |tptp.'A_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'|)) (=> (and (|tptp.'register$j'| A__questionmark_v0) (|tptp.'compatible$c'| A__questionmark_v1 A__questionmark_v2)) (= (|tptp.'register_pair$g'| (|tptp.'comp$j'| A__questionmark_v0 A__questionmark_v1) (|tptp.'comp$q'| A__questionmark_v0 A__questionmark_v2)) (|tptp.'comp$r'| A__questionmark_v0 (|tptp.'register_pair$g'| A__questionmark_v1 A__questionmark_v2))))))
% 1.08/1.31 (assume a92 (forall ((A__questionmark_v0 |tptp.'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'|) (A__questionmark_v1 |tptp.'A_ell2_a_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$'|) (A__questionmark_v2 |tptp.'A_c_prod_b_complement_domain_ell2_a_c_prod_b_complement_domain_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$'|)) (=> (and (|tptp.'register$'| A__questionmark_v0) (|tptp.'compatible$z'| A__questionmark_v1 A__questionmark_v2)) (= (|tptp.'register_pair$'| (|tptp.'comp$d'| A__questionmark_v0 A__questionmark_v1) (|tptp.'comp$s'| A__questionmark_v0 A__questionmark_v2)) (|tptp.'comp$t'| A__questionmark_v0 (|tptp.'register_pair$v'| A__questionmark_v1 A__questionmark_v2))))))
% 1.08/1.31 (assume a93 (forall ((A__questionmark_v0 |tptp.'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'|) (A__questionmark_v1 |tptp.'A_ell2_a_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$'|) (A__questionmark_v2 |tptp.'A_c_prod_b_complement_domain_ell2_a_c_prod_b_complement_domain_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$'|)) (=> (and (|tptp.'register$a'| A__questionmark_v0) (|tptp.'compatible$aa'| A__questionmark_v1 A__questionmark_v2)) (= (|tptp.'register_pair$'| (|tptp.'comp$g'| A__questionmark_v0 A__questionmark_v1) (|tptp.'comp$u'| A__questionmark_v0 A__questionmark_v2)) (|tptp.'comp$v'| A__questionmark_v0 (|tptp.'register_pair$w'| A__questionmark_v1 A__questionmark_v2))))))
% 1.08/1.31 (assume a94 (forall ((A__questionmark_v0 |tptp.'B_ell2_b_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'|) (A__questionmark_v1 |tptp.'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'|) (A__questionmark_v2 |tptp.'A_c_prod_b_complement_domain_ell2_a_c_prod_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'|)) (=> (and (|tptp.'register$j'| A__questionmark_v0) (|tptp.'compatible$b'| A__questionmark_v1 A__questionmark_v2)) (= (|tptp.'register_pair$'| (|tptp.'comp$j'| A__questionmark_v0 A__questionmark_v1) (|tptp.'comp$w'| A__questionmark_v0 A__questionmark_v2)) (|tptp.'comp$x'| A__questionmark_v0 (|tptp.'register_pair$'| A__questionmark_v1 A__questionmark_v2))))))
% 1.08/1.31 (assume a95 (forall ((A__questionmark_v0 |tptp.'A_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'|) (A__questionmark_v1 |tptp.'C_ell2_c_ell2_cblinfun_a_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_fun$'|) (A__questionmark_v2 |tptp.'A_c_prod_b_complement_domain_ell2_a_c_prod_b_complement_domain_ell2_cblinfun_a_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_fun$'|)) (=> (and (|tptp.'register$d'| A__questionmark_v0) (|tptp.'compatible$u'| A__questionmark_v1 A__questionmark_v2)) (= (|tptp.'register_pair$b'| (|tptp.'comp$y'| A__questionmark_v0 A__questionmark_v1) (|tptp.'comp$z'| A__questionmark_v0 A__questionmark_v2)) (|tptp.'comp$'| A__questionmark_v0 (|tptp.'register_pair$q'| A__questionmark_v1 A__questionmark_v2))))))
% 1.08/1.31 (assume a96 (= |tptp.'t1$'| (|tptp.'fun_app$a'| (|tptp.'inv_into$a'| |tptp.'top$'| (|tptp.'register_pair$n'| (|tptp.'register_pair$a'| |tptp.'f$'| |tptp.'g$'|) (|tptp.'complement$'| (|tptp.'register_pair$a'| |tptp.'f$'| |tptp.'g$'|)))) (|tptp.'butterfly$'| (|tptp.'ket$'| |tptp.'default$'|) (|tptp.'ket$'| |tptp.'default$'|)))))
% 1.08/1.31 (assume a97 (forall ((A__questionmark_v0 |tptp.'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'|) (A__questionmark_v1 |tptp.'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'|) (A__questionmark_v2 |tptp.'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'|)) (=> (and (|tptp.'compatible$'| A__questionmark_v0 A__questionmark_v1) (|tptp.'iso_register$c'| (|tptp.'register_pair$a'| A__questionmark_v0 A__questionmark_v1)) (|tptp.'compatible$'| A__questionmark_v0 A__questionmark_v2) (|tptp.'iso_register$c'| (|tptp.'register_pair$a'| A__questionmark_v0 A__questionmark_v2))) (|tptp.'equivalent_registers$t'| A__questionmark_v1 A__questionmark_v2))))
% 1.08/1.31 (assume a98 (forall ((A__questionmark_v0 |tptp.'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'|) (A__questionmark_v1 |tptp.'A_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'|) (A__questionmark_v2 |tptp.'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'|)) (=> (and (|tptp.'compatible$c'| A__questionmark_v0 A__questionmark_v1) (|tptp.'iso_register$b'| (|tptp.'register_pair$g'| A__questionmark_v0 A__questionmark_v1)) (|tptp.'compatible$'| A__questionmark_v0 A__questionmark_v2) (|tptp.'iso_register$c'| (|tptp.'register_pair$a'| A__questionmark_v0 A__questionmark_v2))) (|tptp.'equivalent_registers$x'| A__questionmark_v1 A__questionmark_v2))))
% 1.08/1.31 (assume a99 (forall ((A__questionmark_v0 |tptp.'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'|) (A__questionmark_v1 |tptp.'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'|) (A__questionmark_v2 |tptp.'A_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'|)) (=> (and (|tptp.'compatible$'| A__questionmark_v0 A__questionmark_v1) (|tptp.'iso_register$c'| (|tptp.'register_pair$a'| A__questionmark_v0 A__questionmark_v1)) (|tptp.'compatible$c'| A__questionmark_v0 A__questionmark_v2) (|tptp.'iso_register$b'| (|tptp.'register_pair$g'| A__questionmark_v0 A__questionmark_v2))) (|tptp.'equivalent_registers$y'| A__questionmark_v1 A__questionmark_v2))))
% 1.08/1.31 (assume a100 (forall ((A__questionmark_v0 |tptp.'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'|) (A__questionmark_v1 |tptp.'A_c_prod_b_complement_domain_ell2_a_c_prod_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'|) (A__questionmark_v2 |tptp.'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'|)) (=> (and (|tptp.'compatible$b'| A__questionmark_v0 A__questionmark_v1) (|tptp.'iso_register$a'| (|tptp.'register_pair$'| A__questionmark_v0 A__questionmark_v1)) (|tptp.'compatible$'| A__questionmark_v0 A__questionmark_v2) (|tptp.'iso_register$c'| (|tptp.'register_pair$a'| A__questionmark_v0 A__questionmark_v2))) (|tptp.'equivalent_registers$z'| A__questionmark_v1 A__questionmark_v2))))
% 1.08/1.31 (assume a101 (forall ((A__questionmark_v0 |tptp.'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'|) (A__questionmark_v1 |tptp.'A_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'|) (A__questionmark_v2 |tptp.'A_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'|)) (=> (and (|tptp.'compatible$c'| A__questionmark_v0 A__questionmark_v1) (|tptp.'iso_register$b'| (|tptp.'register_pair$g'| A__questionmark_v0 A__questionmark_v1)) (|tptp.'compatible$c'| A__questionmark_v0 A__questionmark_v2) (|tptp.'iso_register$b'| (|tptp.'register_pair$g'| A__questionmark_v0 A__questionmark_v2))) (|tptp.'equivalent_registers$m'| A__questionmark_v1 A__questionmark_v2))))
% 1.08/1.31 (assume a102 (forall ((A__questionmark_v0 |tptp.'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'|) (A__questionmark_v1 |tptp.'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'|) (A__questionmark_v2 |tptp.'A_c_prod_b_complement_domain_ell2_a_c_prod_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'|)) (=> (and (|tptp.'compatible$'| A__questionmark_v0 A__questionmark_v1) (|tptp.'iso_register$c'| (|tptp.'register_pair$a'| A__questionmark_v0 A__questionmark_v1)) (|tptp.'compatible$b'| A__questionmark_v0 A__questionmark_v2) (|tptp.'iso_register$a'| (|tptp.'register_pair$'| A__questionmark_v0 A__questionmark_v2))) (|tptp.'equivalent_registers$aa'| A__questionmark_v1 A__questionmark_v2))))
% 1.08/1.31 (assume a103 (forall ((A__questionmark_v0 |tptp.'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'|) (A__questionmark_v1 |tptp.'A_c_prod_b_complement_domain_ell2_a_c_prod_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'|) (A__questionmark_v2 |tptp.'A_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'|)) (=> (and (|tptp.'compatible$b'| A__questionmark_v0 A__questionmark_v1) (|tptp.'iso_register$a'| (|tptp.'register_pair$'| A__questionmark_v0 A__questionmark_v1)) (|tptp.'compatible$c'| A__questionmark_v0 A__questionmark_v2) (|tptp.'iso_register$b'| (|tptp.'register_pair$g'| A__questionmark_v0 A__questionmark_v2))) (|tptp.'equivalent_registers$g'| A__questionmark_v1 A__questionmark_v2))))
% 1.08/1.31 (assume a104 (forall ((A__questionmark_v0 |tptp.'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'|) (A__questionmark_v1 |tptp.'A_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'|) (A__questionmark_v2 |tptp.'A_c_prod_b_complement_domain_ell2_a_c_prod_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'|)) (=> (and (|tptp.'compatible$c'| A__questionmark_v0 A__questionmark_v1) (|tptp.'iso_register$b'| (|tptp.'register_pair$g'| A__questionmark_v0 A__questionmark_v1)) (|tptp.'compatible$b'| A__questionmark_v0 A__questionmark_v2) (|tptp.'iso_register$a'| (|tptp.'register_pair$'| A__questionmark_v0 A__questionmark_v2))) (|tptp.'equivalent_registers$k'| A__questionmark_v1 A__questionmark_v2))))
% 1.08/1.31 (assume a105 (forall ((A__questionmark_v0 |tptp.'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'|) (A__questionmark_v1 |tptp.'C_a_c_prod_b_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'|) (A__questionmark_v2 |tptp.'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'|)) (=> (and (|tptp.'compatible$d'| A__questionmark_v0 A__questionmark_v1) (|tptp.'iso_register$e'| (|tptp.'register_pair$i'| A__questionmark_v0 A__questionmark_v1)) (|tptp.'compatible$'| A__questionmark_v0 A__questionmark_v2) (|tptp.'iso_register$c'| (|tptp.'register_pair$a'| A__questionmark_v0 A__questionmark_v2))) (|tptp.'equivalent_registers$ab'| A__questionmark_v1 A__questionmark_v2))))
% 1.08/1.31 (assume a106 (forall ((A__questionmark_v0 |tptp.'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'|) (A__questionmark_v1 |tptp.'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'|) (A__questionmark_v2 |tptp.'C_a_c_prod_b_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'|)) (=> (and (|tptp.'compatible$'| A__questionmark_v0 A__questionmark_v1) (|tptp.'iso_register$c'| (|tptp.'register_pair$a'| A__questionmark_v0 A__questionmark_v1)) (|tptp.'compatible$d'| A__questionmark_v0 A__questionmark_v2) (|tptp.'iso_register$e'| (|tptp.'register_pair$i'| A__questionmark_v0 A__questionmark_v2))) (|tptp.'equivalent_registers$ac'| A__questionmark_v1 A__questionmark_v2))))
% 1.08/1.31 (assume a107 (forall ((A__questionmark_v0 |tptp.'A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_fun$'|) (A__questionmark_v1 |tptp.'B_ell2_b_ell2_cblinfun_a_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_fun$'|) (A__questionmark_v2 |tptp.'B_ell2_b_ell2_cblinfun_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_fun$'|)) (=> (and (|tptp.'register$b'| A__questionmark_v0) (|tptp.'iso_register$f'| A__questionmark_v1) (= (|tptp.'comp$a'| A__questionmark_v0 A__questionmark_v1) A__questionmark_v2)) (|tptp.'equivalent_registers$ad'| A__questionmark_v0 A__questionmark_v2))))
% 1.08/1.31 (assume a108 (forall ((A__questionmark_v0 |tptp.'A_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'|) (A__questionmark_v1 |tptp.'C_a_c_prod_b_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_ell2_cblinfun_a_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_fun$'|) (A__questionmark_v2 |tptp.'C_a_c_prod_b_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'|)) (=> (and (|tptp.'register$d'| A__questionmark_v0) (|tptp.'iso_register$'| A__questionmark_v1) (= (|tptp.'comp$'| A__questionmark_v0 A__questionmark_v1) A__questionmark_v2)) (|tptp.'equivalent_registers$'| A__questionmark_v0 A__questionmark_v2))))
% 1.08/1.31 (assume a109 (forall ((A__questionmark_v0 |tptp.'A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_fun$'|) (A__questionmark_v1 |tptp.'B_ell2_b_ell2_cblinfun_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_fun$'|)) (= (|tptp.'equivalent_registers$ad'| A__questionmark_v0 A__questionmark_v1) (and (|tptp.'register$b'| A__questionmark_v0) (exists ((A__questionmark_v2 |tptp.'B_ell2_b_ell2_cblinfun_a_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_fun$'|)) (and (|tptp.'iso_register$f'| A__questionmark_v2) (= (|tptp.'comp$a'| A__questionmark_v0 A__questionmark_v2) A__questionmark_v1)))))))
% 1.08/1.31 (assume a110 (forall ((A__questionmark_v0 |tptp.'A_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'|) (A__questionmark_v1 |tptp.'C_a_c_prod_b_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'|)) (= (|tptp.'equivalent_registers$'| A__questionmark_v0 A__questionmark_v1) (and (|tptp.'register$d'| A__questionmark_v0) (exists ((A__questionmark_v2 |tptp.'C_a_c_prod_b_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_ell2_cblinfun_a_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_fun$'|)) (and (|tptp.'iso_register$'| A__questionmark_v2) (= (|tptp.'comp$'| A__questionmark_v0 A__questionmark_v2) A__questionmark_v1)))))))
% 1.08/1.31 (assume a111 (forall ((A__questionmark_v0 |tptp.'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'|)) (=> (|tptp.'register$'| A__questionmark_v0) (exists ((A__questionmark_v1 |tptp.'C_b_complement_domain_ell2_c_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'|)) (and (|tptp.'compatible$g'| A__questionmark_v0 A__questionmark_v1) (|tptp.'iso_register$g'| (|tptp.'register_pair$x'| A__questionmark_v0 A__questionmark_v1)))))))
% 1.08/1.31 (assume a112 (forall ((A__questionmark_v0 |tptp.'C_a_c_prod_b_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_ell2_cblinfun_a_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_fun$'|)) (=> (|tptp.'register$e'| A__questionmark_v0) (exists ((A__questionmark_v1 |tptp.'C_a_c_prod_b_complement_domain_prod_a_b_complement_domain_complement_domain_ell2_c_a_c_prod_b_complement_domain_prod_a_b_complement_domain_complement_domain_ell2_cblinfun_a_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_fun$'|)) (and (|tptp.'compatible$e'| A__questionmark_v0 A__questionmark_v1) (|tptp.'iso_register$h'| (|tptp.'register_pair$y'| A__questionmark_v0 A__questionmark_v1)))))))
% 1.08/1.31 (assume a113 (forall ((A__questionmark_v0 |tptp.'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'|)) (=> (|tptp.'register$a'| A__questionmark_v0) (exists ((A__questionmark_v1 |tptp.'A_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'|)) (and (|tptp.'compatible$c'| A__questionmark_v0 A__questionmark_v1) (|tptp.'iso_register$b'| (|tptp.'register_pair$g'| A__questionmark_v0 A__questionmark_v1)))))))
% 1.08/1.31 (assume a114 (forall ((A__questionmark_v0 |tptp.'B_ell2_b_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'|) (A__questionmark_v1 |tptp.'B_ell2_b_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'|)) (=> (and (|tptp.'bij_betw$a'| A__questionmark_v0 |tptp.'top$a'| |tptp.'top$a'|) (|tptp.'bij_betw$a'| A__questionmark_v1 |tptp.'top$a'| |tptp.'top$a'|)) (= (|tptp.'inv_into$b'| |tptp.'top$a'| (|tptp.'comp$aa'| A__questionmark_v0 A__questionmark_v1)) (|tptp.'comp$aa'| (|tptp.'inv_into$b'| |tptp.'top$a'| A__questionmark_v1) (|tptp.'inv_into$b'| |tptp.'top$a'| A__questionmark_v0))))))
% 1.08/1.31 (assume a115 (forall ((A__questionmark_v0 |tptp.'C_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'|) (A__questionmark_v1 |tptp.'B_ell2_b_ell2_cblinfun_c_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_fun$'|)) (=> (and (|tptp.'bij_betw$b'| A__questionmark_v0 |tptp.'top$c'| |tptp.'top$a'|) (|tptp.'bij_betw$c'| A__questionmark_v1 |tptp.'top$a'| |tptp.'top$c'|)) (= (|tptp.'inv_into$b'| |tptp.'top$a'| (|tptp.'comp$ab'| A__questionmark_v0 A__questionmark_v1)) (|tptp.'comp$ab'| (|tptp.'inv_into$c'| |tptp.'top$a'| A__questionmark_v1) (|tptp.'inv_into$d'| |tptp.'top$c'| A__questionmark_v0))))))
% 1.08/1.31 (assume a116 (forall ((A__questionmark_v0 |tptp.'A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'|) (A__questionmark_v1 |tptp.'B_ell2_b_ell2_cblinfun_a_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_fun$'|)) (=> (and (|tptp.'bij_betw$d'| A__questionmark_v0 |tptp.'top$d'| |tptp.'top$a'|) (|tptp.'bij_betw$e'| A__questionmark_v1 |tptp.'top$a'| |tptp.'top$d'|)) (= (|tptp.'inv_into$b'| |tptp.'top$a'| (|tptp.'comp$ac'| A__questionmark_v0 A__questionmark_v1)) (|tptp.'comp$ac'| (|tptp.'inv_into$e'| |tptp.'top$a'| A__questionmark_v1) (|tptp.'inv_into$f'| |tptp.'top$d'| A__questionmark_v0))))))
% 1.08/1.31 (assume a117 (forall ((A__questionmark_v0 |tptp.'B_ell2_b_ell2_cblinfun_c_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_fun$'|) (A__questionmark_v1 |tptp.'B_ell2_b_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'|)) (=> (and (|tptp.'bij_betw$c'| A__questionmark_v0 |tptp.'top$a'| |tptp.'top$c'|) (|tptp.'bij_betw$a'| A__questionmark_v1 |tptp.'top$a'| |tptp.'top$a'|)) (= (|tptp.'inv_into$c'| |tptp.'top$a'| (|tptp.'comp$ad'| A__questionmark_v0 A__questionmark_v1)) (|tptp.'comp$ae'| (|tptp.'inv_into$b'| |tptp.'top$a'| A__questionmark_v1) (|tptp.'inv_into$c'| |tptp.'top$a'| A__questionmark_v0))))))
% 1.08/1.31 (assume a118 (forall ((A__questionmark_v0 |tptp.'B_ell2_b_ell2_cblinfun_a_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_fun$'|) (A__questionmark_v1 |tptp.'B_ell2_b_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'|)) (=> (and (|tptp.'bij_betw$e'| A__questionmark_v0 |tptp.'top$a'| |tptp.'top$d'|) (|tptp.'bij_betw$a'| A__questionmark_v1 |tptp.'top$a'| |tptp.'top$a'|)) (= (|tptp.'inv_into$e'| |tptp.'top$a'| (|tptp.'comp$af'| A__questionmark_v0 A__questionmark_v1)) (|tptp.'comp$r'| (|tptp.'inv_into$b'| |tptp.'top$a'| A__questionmark_v1) (|tptp.'inv_into$e'| |tptp.'top$a'| A__questionmark_v0))))))
% 1.08/1.31 (assume a119 (forall ((A__questionmark_v0 |tptp.'B_ell2_b_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'|) (A__questionmark_v1 |tptp.'C_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'|)) (=> (and (|tptp.'bij_betw$a'| A__questionmark_v0 |tptp.'top$a'| |tptp.'top$a'|) (|tptp.'bij_betw$b'| A__questionmark_v1 |tptp.'top$c'| |tptp.'top$a'|)) (= (|tptp.'inv_into$d'| |tptp.'top$c'| (|tptp.'comp$ae'| A__questionmark_v0 A__questionmark_v1)) (|tptp.'comp$ad'| (|tptp.'inv_into$d'| |tptp.'top$c'| A__questionmark_v1) (|tptp.'inv_into$b'| |tptp.'top$a'| A__questionmark_v0))))))
% 1.08/1.31 (assume a120 (forall ((A__questionmark_v0 |tptp.'B_ell2_b_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'|) (A__questionmark_v1 |tptp.'A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'|)) (=> (and (|tptp.'bij_betw$a'| A__questionmark_v0 |tptp.'top$a'| |tptp.'top$a'|) (|tptp.'bij_betw$d'| A__questionmark_v1 |tptp.'top$d'| |tptp.'top$a'|)) (= (|tptp.'inv_into$f'| |tptp.'top$d'| (|tptp.'comp$r'| A__questionmark_v0 A__questionmark_v1)) (|tptp.'comp$af'| (|tptp.'inv_into$f'| |tptp.'top$d'| A__questionmark_v1) (|tptp.'inv_into$b'| |tptp.'top$a'| A__questionmark_v0))))))
% 1.08/1.31 (assume a121 (forall ((A__questionmark_v0 |tptp.'A_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_c_a_c_prod_b_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_ell2_cblinfun_fun$'|) (A__questionmark_v1 |tptp.'B_ell2_b_ell2_cblinfun_a_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_fun$'|)) (=> (and (|tptp.'bij_betw$f'| A__questionmark_v0 |tptp.'top$e'| |tptp.'top$f'|) (|tptp.'bij_betw$g'| A__questionmark_v1 |tptp.'top$a'| |tptp.'top$e'|)) (= (|tptp.'inv_into$g'| |tptp.'top$a'| (|tptp.'comp$ag'| A__questionmark_v0 A__questionmark_v1)) (|tptp.'comp$'| (|tptp.'inv_into$h'| |tptp.'top$a'| A__questionmark_v1) (|tptp.'inv_into$i'| |tptp.'top$e'| A__questionmark_v0))))))
% 1.08/1.31 (assume a122 (forall ((A__questionmark_v0 |tptp.'A_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'|) (A__questionmark_v1 |tptp.'C_a_c_prod_b_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_ell2_cblinfun_a_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_fun$'|)) (=> (and (|tptp.'bij_betw$h'| A__questionmark_v0 |tptp.'top$e'| |tptp.'top$a'|) (|tptp.'bij_betw$i'| A__questionmark_v1 |tptp.'top$f'| |tptp.'top$e'|)) (= (|tptp.'inv_into$j'| |tptp.'top$f'| (|tptp.'comp$'| A__questionmark_v0 A__questionmark_v1)) (|tptp.'comp$ag'| (|tptp.'inv_into$k'| |tptp.'top$f'| A__questionmark_v1) (|tptp.'inv_into$l'| |tptp.'top$e'| A__questionmark_v0))))))
% 1.08/1.31 (assume a123 (forall ((A__questionmark_v0 |tptp.'A_c_prod_a_c_prod_b_complement_domain_prod_ell2_a_c_prod_a_c_prod_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'|) (A__questionmark_v1 |tptp.'B_ell2_b_ell2_cblinfun_a_c_prod_a_c_prod_b_complement_domain_prod_ell2_a_c_prod_a_c_prod_b_complement_domain_prod_ell2_cblinfun_fun$'|)) (=> (and (|tptp.'bij_betw$'| A__questionmark_v0 |tptp.'top$'| |tptp.'top$a'|) (|tptp.'bij_betw$j'| A__questionmark_v1 |tptp.'top$a'| |tptp.'top$'|)) (= (|tptp.'inv_into$b'| |tptp.'top$a'| (|tptp.'comp$ah'| A__questionmark_v0 A__questionmark_v1)) (|tptp.'comp$ah'| (|tptp.'inv_into$m'| |tptp.'top$a'| A__questionmark_v1) (|tptp.'inv_into$a'| |tptp.'top$'| A__questionmark_v0))))))
% 1.08/1.31 (assume a124 (forall ((A__questionmark_v0 |tptp.'B_ell2_b_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'|)) (=> (|tptp.'iso_register$i'| A__questionmark_v0) (|tptp.'bij_betw$a'| A__questionmark_v0 |tptp.'top$a'| |tptp.'top$a'|))))
% 1.08/1.31 (assume a125 (forall ((A__questionmark_v0 |tptp.'C_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'|)) (=> (|tptp.'iso_register$g'| A__questionmark_v0) (|tptp.'bij_betw$b'| A__questionmark_v0 |tptp.'top$c'| |tptp.'top$a'|))))
% 1.08/1.31 (assume a126 (forall ((A__questionmark_v0 |tptp.'A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'|)) (=> (|tptp.'iso_register$b'| A__questionmark_v0) (|tptp.'bij_betw$d'| A__questionmark_v0 |tptp.'top$d'| |tptp.'top$a'|))))
% 1.08/1.31 (assume a127 (forall ((A__questionmark_v0 |tptp.'B_ell2_b_ell2_cblinfun_c_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_fun$'|)) (=> (|tptp.'iso_register$j'| A__questionmark_v0) (|tptp.'bij_betw$c'| A__questionmark_v0 |tptp.'top$a'| |tptp.'top$c'|))))
% 1.08/1.31 (assume a128 (forall ((A__questionmark_v0 |tptp.'B_ell2_b_ell2_cblinfun_a_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_fun$'|)) (=> (|tptp.'iso_register$f'| A__questionmark_v0) (|tptp.'bij_betw$e'| A__questionmark_v0 |tptp.'top$a'| |tptp.'top$d'|))))
% 1.08/1.31 (assume a129 (forall ((A__questionmark_v0 |tptp.'A_c_prod_a_c_prod_b_complement_domain_prod_ell2_a_c_prod_a_c_prod_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'|)) (=> (|tptp.'iso_register$k'| A__questionmark_v0) (|tptp.'bij_betw$'| A__questionmark_v0 |tptp.'top$'| |tptp.'top$a'|))))
% 1.08/1.31 (assume a130 (forall ((A__questionmark_v0 |tptp.'C_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_c_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_fun$'|)) (=> (|tptp.'iso_register$l'| A__questionmark_v0) (|tptp.'bij_betw$k'| A__questionmark_v0 |tptp.'top$c'| |tptp.'top$c'|))))
% 1.08/1.31 (assume a131 (forall ((A__questionmark_v0 |tptp.'C_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_a_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_fun$'|)) (=> (|tptp.'iso_register$m'| A__questionmark_v0) (|tptp.'bij_betw$l'| A__questionmark_v0 |tptp.'top$c'| |tptp.'top$d'|))))
% 1.08/1.31 (assume a132 (forall ((A__questionmark_v0 |tptp.'C_a_a_c_prod_b_complement_domain_prod_prod_ell2_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'|)) (=> (|tptp.'iso_register$d'| A__questionmark_v0) (|tptp.'bij_betw$m'| A__questionmark_v0 |tptp.'top$b'| |tptp.'top$a'|))))
% 1.08/1.31 (assume a133 (forall ((A__questionmark_v0 |tptp.'A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_c_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_fun$'|)) (=> (|tptp.'iso_register$n'| A__questionmark_v0) (|tptp.'bij_betw$n'| A__questionmark_v0 |tptp.'top$d'| |tptp.'top$c'|))))
% 1.08/1.31 (assume a134 (forall ((A__questionmark_v0 |tptp.'C_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'|)) (=> (|tptp.'iso_register$g'| A__questionmark_v0) (|tptp.'iso_register$j'| (|tptp.'inv_into$d'| |tptp.'top$c'| A__questionmark_v0)))))
% 1.08/1.31 (assume a135 (forall ((A__questionmark_v0 |tptp.'C_a_a_c_prod_b_complement_domain_prod_prod_ell2_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'|)) (=> (|tptp.'iso_register$d'| A__questionmark_v0) (|tptp.'iso_register$o'| (|tptp.'inv_into$'| |tptp.'top$b'| A__questionmark_v0)))))
% 1.08/1.31 (assume a136 (forall ((A__questionmark_v0 |tptp.'A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'|)) (=> (|tptp.'iso_register$b'| A__questionmark_v0) (|tptp.'iso_register$f'| (|tptp.'inv_into$f'| |tptp.'top$d'| A__questionmark_v0)))))
% 1.08/1.31 (assume a137 (forall ((A__questionmark_v0 |tptp.'A_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_a_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_fun$'|)) (=> (|tptp.'iso_register$p'| A__questionmark_v0) (|tptp.'iso_register$q'| (|tptp.'inv_into$n'| |tptp.'top$g'| A__questionmark_v0)))))
% 1.08/1.31 (assume a138 (forall ((A__questionmark_v0 |tptp.'A_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'|)) (=> (|tptp.'iso_register$e'| A__questionmark_v0) (|tptp.'iso_register$r'| (|tptp.'inv_into$o'| |tptp.'top$g'| A__questionmark_v0)))))
% 1.08/1.31 (assume a139 (forall ((A__questionmark_v0 |tptp.'A_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_c_a_c_prod_b_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_ell2_cblinfun_fun$'|)) (=> (|tptp.'iso_register$s'| A__questionmark_v0) (|tptp.'iso_register$'| (|tptp.'inv_into$i'| |tptp.'top$e'| A__questionmark_v0)))))
% 1.08/1.31 (assume a140 (forall ((A__questionmark_v0 |tptp.'C_a_c_prod_b_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_ell2_cblinfun_a_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_fun$'|)) (=> (|tptp.'iso_register$'| A__questionmark_v0) (|tptp.'iso_register$s'| (|tptp.'inv_into$k'| |tptp.'top$f'| A__questionmark_v0)))))
% 1.08/1.31 (assume a141 (forall ((A__questionmark_v0 |tptp.'A_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'|) (A__questionmark_v1 |tptp.'C_a_c_prod_b_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_ell2_cblinfun_a_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_fun$'|) (A__questionmark_v2 |tptp.'C_a_c_prod_b_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_ell2_cblinfun_a_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_fun$'|)) (=> (and (|tptp.'register$d'| A__questionmark_v0) (|tptp.'equivalent_registers$ae'| A__questionmark_v1 A__questionmark_v2)) (|tptp.'equivalent_registers$w'| (|tptp.'comp$'| A__questionmark_v0 A__questionmark_v1) (|tptp.'comp$'| A__questionmark_v0 A__questionmark_v2)))))
% 1.08/1.31 (assume a142 (forall ((A__questionmark_v0 |tptp.'A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_fun$'|) (A__questionmark_v1 |tptp.'B_ell2_b_ell2_cblinfun_a_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_fun$'|) (A__questionmark_v2 |tptp.'B_ell2_b_ell2_cblinfun_a_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_fun$'|)) (=> (and (|tptp.'register$b'| A__questionmark_v0) (|tptp.'equivalent_registers$af'| A__questionmark_v1 A__questionmark_v2)) (|tptp.'equivalent_registers$ag'| (|tptp.'comp$a'| A__questionmark_v0 A__questionmark_v1) (|tptp.'comp$a'| A__questionmark_v0 A__questionmark_v2)))))
% 1.08/1.31 (assume a143 (forall ((A__questionmark_v0 |tptp.'A_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'|) (A__questionmark_v1 |tptp.'A_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_a_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_fun$'|) (A__questionmark_v2 |tptp.'C_a_c_prod_b_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_ell2_cblinfun_a_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_fun$'|)) (=> (and (|tptp.'register$d'| A__questionmark_v0) (|tptp.'equivalent_registers$ah'| A__questionmark_v1 A__questionmark_v2)) (|tptp.'equivalent_registers$'| (|tptp.'comp$ai'| A__questionmark_v0 A__questionmark_v1) (|tptp.'comp$'| A__questionmark_v0 A__questionmark_v2)))))
% 1.08/1.31 (assume a144 (forall ((A__questionmark_v0 |tptp.'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'|) (A__questionmark_v1 |tptp.'A_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$'|) (A__questionmark_v2 |tptp.'C_a_c_prod_b_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$'|)) (=> (and (|tptp.'register$'| A__questionmark_v0) (|tptp.'equivalent_registers$ai'| A__questionmark_v1 A__questionmark_v2)) (|tptp.'equivalent_registers$'| (|tptp.'comp$m'| A__questionmark_v0 A__questionmark_v1) (|tptp.'comp$aj'| A__questionmark_v0 A__questionmark_v2)))))
% 1.08/1.31 (assume a145 (forall ((A__questionmark_v0 |tptp.'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'|) (A__questionmark_v1 |tptp.'A_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$'|) (A__questionmark_v2 |tptp.'C_a_c_prod_b_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$'|)) (=> (and (|tptp.'register$a'| A__questionmark_v0) (|tptp.'equivalent_registers$aj'| A__questionmark_v1 A__questionmark_v2)) (|tptp.'equivalent_registers$'| (|tptp.'comp$o'| A__questionmark_v0 A__questionmark_v1) (|tptp.'comp$ak'| A__questionmark_v0 A__questionmark_v2)))))
% 1.08/1.31 (assume a146 (forall ((A__questionmark_v0 |tptp.'B_ell2_b_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'|) (A__questionmark_v1 |tptp.'A_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'|) (A__questionmark_v2 |tptp.'C_a_c_prod_b_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'|)) (=> (and (|tptp.'register$j'| A__questionmark_v0) (|tptp.'equivalent_registers$'| A__questionmark_v1 A__questionmark_v2)) (|tptp.'equivalent_registers$'| (|tptp.'comp$q'| A__questionmark_v0 A__questionmark_v1) (|tptp.'comp$al'| A__questionmark_v0 A__questionmark_v2)))))
% 1.08/1.31 (assume a147 (forall ((A__questionmark_v0 |tptp.'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'|) (A__questionmark_v1 |tptp.'A_a_c_prod_b_complement_domain_prod_ell2_a_a_c_prod_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'|) (A__questionmark_v2 |tptp.'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'|)) (=> (and (|tptp.'compatible$a'| A__questionmark_v0 A__questionmark_v1) (|tptp.'equivalent_registers$t'| A__questionmark_v0 A__questionmark_v2)) (|tptp.'equivalent_registers$ak'| (|tptp.'register_pair$d'| A__questionmark_v0 A__questionmark_v1) (|tptp.'register_pair$d'| A__questionmark_v2 A__questionmark_v1)))))
% 1.08/1.31 (assume a148 (forall ((A__questionmark_v0 |tptp.'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'|) (A__questionmark_v1 |tptp.'A_c_prod_b_complement_domain_ell2_a_c_prod_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'|) (A__questionmark_v2 |tptp.'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'|)) (=> (and (|tptp.'compatible$b'| A__questionmark_v0 A__questionmark_v1) (|tptp.'equivalent_registers$l'| A__questionmark_v0 A__questionmark_v2)) (|tptp.'equivalent_registers$v'| (|tptp.'register_pair$'| A__questionmark_v0 A__questionmark_v1) (|tptp.'register_pair$'| A__questionmark_v2 A__questionmark_v1)))))
% 1.08/1.31 (assume a149 (forall ((A__questionmark_v0 |tptp.'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'|) (A__questionmark_v1 |tptp.'A_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'|) (A__questionmark_v2 |tptp.'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'|)) (=> (and (|tptp.'compatible$c'| A__questionmark_v0 A__questionmark_v1) (|tptp.'equivalent_registers$l'| A__questionmark_v0 A__questionmark_v2)) (|tptp.'equivalent_registers$al'| (|tptp.'register_pair$g'| A__questionmark_v0 A__questionmark_v1) (|tptp.'register_pair$g'| A__questionmark_v2 A__questionmark_v1)))))
% 1.08/1.31 (assume a150 (forall ((A__questionmark_v0 |tptp.'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'|) (A__questionmark_v1 |tptp.'C_a_c_prod_b_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'|) (A__questionmark_v2 |tptp.'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'|)) (=> (and (|tptp.'compatible$d'| A__questionmark_v0 A__questionmark_v1) (|tptp.'equivalent_registers$l'| A__questionmark_v0 A__questionmark_v2)) (|tptp.'equivalent_registers$am'| (|tptp.'register_pair$i'| A__questionmark_v0 A__questionmark_v1) (|tptp.'register_pair$i'| A__questionmark_v2 A__questionmark_v1)))))
% 1.08/1.31 (assume a151 (forall ((A__questionmark_v0 |tptp.'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'|) (A__questionmark_v1 |tptp.'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'|) (A__questionmark_v2 |tptp.'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'|)) (=> (and (|tptp.'compatible$'| A__questionmark_v0 A__questionmark_v1) (|tptp.'equivalent_registers$l'| A__questionmark_v0 A__questionmark_v2)) (|tptp.'equivalent_registers$d'| (|tptp.'register_pair$a'| A__questionmark_v0 A__questionmark_v1) (|tptp.'register_pair$a'| A__questionmark_v2 A__questionmark_v1)))))
% 1.08/1.31 (assume a152 (|tptp.'register$e'| |tptp.'i$'|))
% 1.08/1.31 (assume a153 (|tptp.'bij_betw$b'| (|tptp.'register_pair$x'| |tptp.'g$'| (|tptp.'complement$f'| |tptp.'g$'|)) |tptp.'top$c'| |tptp.'top$a'|))
% 1.08/1.31 (assume a154 (|tptp.'bij_betw$d'| (|tptp.'register_pair$g'| |tptp.'f$'| (|tptp.'complement$e'| |tptp.'f$'|)) |tptp.'top$d'| |tptp.'top$a'|))
% 1.08/1.31 (assume a155 (= |tptp.'t2$'| (|tptp.'fun_app$b'| (|tptp.'inv_into$o'| |tptp.'top$g'| (|tptp.'register_pair$i'| |tptp.'f$'| (|tptp.'register_pair$b'| |tptp.'g$'| (|tptp.'complement$'| (|tptp.'register_pair$a'| |tptp.'f$'| |tptp.'g$'|))))) (|tptp.'butterfly$'| (|tptp.'ket$'| |tptp.'default$'|) (|tptp.'ket$'| |tptp.'default$'|)))))
% 1.08/1.31 (assume a156 (forall ((A__questionmark_v0 |tptp.'C_ell2_c_ell2_cblinfun_a_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_fun$'|) (A__questionmark_v1 |tptp.'A_c_prod_b_complement_domain_ell2_a_c_prod_b_complement_domain_ell2_cblinfun_a_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_fun$'|)) (=> (|tptp.'compatible$u'| A__questionmark_v0 A__questionmark_v1) (|tptp.'register$e'| (|tptp.'register_pair$q'| A__questionmark_v0 A__questionmark_v1)))))
% 1.08/1.31 (assume a157 (forall ((A__questionmark_v0 |tptp.'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'|) (A__questionmark_v1 |tptp.'A_a_c_prod_b_complement_domain_prod_ell2_a_a_c_prod_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'|)) (=> (|tptp.'compatible$a'| A__questionmark_v0 A__questionmark_v1) (|tptp.'register$k'| (|tptp.'register_pair$d'| A__questionmark_v0 A__questionmark_v1)))))
% 1.08/1.31 (assume a158 (forall ((A__questionmark_v0 |tptp.'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'|) (A__questionmark_v1 |tptp.'A_c_prod_b_complement_domain_ell2_a_c_prod_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'|)) (=> (|tptp.'compatible$b'| A__questionmark_v0 A__questionmark_v1) (|tptp.'register$l'| (|tptp.'register_pair$'| A__questionmark_v0 A__questionmark_v1)))))
% 1.08/1.31 (assume a159 (forall ((A__questionmark_v0 |tptp.'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'|) (A__questionmark_v1 |tptp.'A_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'|)) (=> (|tptp.'compatible$c'| A__questionmark_v0 A__questionmark_v1) (|tptp.'register$m'| (|tptp.'register_pair$g'| A__questionmark_v0 A__questionmark_v1)))))
% 1.08/1.31 (assume a160 (forall ((A__questionmark_v0 |tptp.'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'|) (A__questionmark_v1 |tptp.'C_a_c_prod_b_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'|)) (=> (|tptp.'compatible$d'| A__questionmark_v0 A__questionmark_v1) (|tptp.'register$n'| (|tptp.'register_pair$i'| A__questionmark_v0 A__questionmark_v1)))))
% 1.08/1.31 (assume a161 (forall ((A__questionmark_v0 |tptp.'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'|) (A__questionmark_v1 |tptp.'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'|)) (=> (|tptp.'compatible$'| A__questionmark_v0 A__questionmark_v1) (|tptp.'register$g'| (|tptp.'register_pair$a'| A__questionmark_v0 A__questionmark_v1)))))
% 1.08/1.31 (assume a162 (forall ((A__questionmark_v0 |tptp.'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'|) (A__questionmark_v1 |tptp.'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'|)) (=> (|tptp.'compatible$ab'| A__questionmark_v0 A__questionmark_v1) (|tptp.'compatible$'| A__questionmark_v1 A__questionmark_v0))))
% 1.08/1.31 (assume a163 (forall ((A__questionmark_v0 |tptp.'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'|) (A__questionmark_v1 |tptp.'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'|)) (=> (|tptp.'compatible$'| A__questionmark_v0 A__questionmark_v1) (|tptp.'compatible$ab'| A__questionmark_v1 A__questionmark_v0))))
% 1.08/1.31 (assume a164 (forall ((A__questionmark_v0 |tptp.'A_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'|) (A__questionmark_v1 |tptp.'A_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'|) (A__questionmark_v2 |tptp.'C_a_c_prod_b_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'|)) (=> (and (|tptp.'equivalent_registers$m'| A__questionmark_v0 A__questionmark_v1) (|tptp.'equivalent_registers$'| A__questionmark_v1 A__questionmark_v2)) (|tptp.'equivalent_registers$'| A__questionmark_v0 A__questionmark_v2))))
% 1.08/1.31 (assume a165 (forall ((A__questionmark_v0 |tptp.'A_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'|) (A__questionmark_v1 |tptp.'C_a_c_prod_b_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'|) (A__questionmark_v2 |tptp.'C_a_c_prod_b_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'|)) (=> (and (|tptp.'equivalent_registers$'| A__questionmark_v0 A__questionmark_v1) (|tptp.'equivalent_registers$w'| A__questionmark_v1 A__questionmark_v2)) (|tptp.'equivalent_registers$'| A__questionmark_v0 A__questionmark_v2))))
% 1.08/1.31 (assume a166 (forall ((A__questionmark_v0 |tptp.'C_a_c_prod_b_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'|) (A__questionmark_v1 |tptp.'A_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'|)) (=> (|tptp.'equivalent_registers$b'| A__questionmark_v0 A__questionmark_v1) (|tptp.'equivalent_registers$'| A__questionmark_v1 A__questionmark_v0))))
% 1.08/1.31 (assume a167 (forall ((A__questionmark_v0 |tptp.'A_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'|) (A__questionmark_v1 |tptp.'C_a_c_prod_b_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'|)) (=> (|tptp.'equivalent_registers$'| A__questionmark_v0 A__questionmark_v1) (|tptp.'equivalent_registers$b'| A__questionmark_v1 A__questionmark_v0))))
% 1.08/1.31 (assume a168 (forall ((A__questionmark_v0 |tptp.'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'|) (A__questionmark_v1 |tptp.'A_c_prod_b_complement_domain_ell2_a_c_prod_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'|) (A__questionmark_v2 |tptp.'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'|)) (=> (and (|tptp.'compatible$b'| A__questionmark_v0 A__questionmark_v1) (|tptp.'compatible$'| A__questionmark_v0 A__questionmark_v2) (|tptp.'compatible$ac'| A__questionmark_v1 A__questionmark_v2)) (|tptp.'equivalent_registers$an'| (|tptp.'register_pair$z'| A__questionmark_v0 (|tptp.'register_pair$aa'| A__questionmark_v1 A__questionmark_v2)) (|tptp.'register_pair$ab'| (|tptp.'register_pair$'| A__questionmark_v0 A__questionmark_v1) A__questionmark_v2)))))
% 1.08/1.31 (assume a169 (forall ((A__questionmark_v0 |tptp.'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'|) (A__questionmark_v1 |tptp.'A_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'|) (A__questionmark_v2 |tptp.'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'|)) (=> (and (|tptp.'compatible$c'| A__questionmark_v0 A__questionmark_v1) (|tptp.'compatible$'| A__questionmark_v0 A__questionmark_v2) (|tptp.'compatible$ad'| A__questionmark_v1 A__questionmark_v2)) (|tptp.'equivalent_registers$ao'| (|tptp.'register_pair$ac'| A__questionmark_v0 (|tptp.'register_pair$ad'| A__questionmark_v1 A__questionmark_v2)) (|tptp.'register_pair$ae'| (|tptp.'register_pair$g'| A__questionmark_v0 A__questionmark_v1) A__questionmark_v2)))))
% 1.08/1.31 (assume a170 (forall ((A__questionmark_v0 |tptp.'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'|) (A__questionmark_v1 |tptp.'C_a_c_prod_b_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'|) (A__questionmark_v2 |tptp.'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'|)) (=> (and (|tptp.'compatible$d'| A__questionmark_v0 A__questionmark_v1) (|tptp.'compatible$'| A__questionmark_v0 A__questionmark_v2) (|tptp.'compatible$ae'| A__questionmark_v1 A__questionmark_v2)) (|tptp.'equivalent_registers$ap'| (|tptp.'register_pair$af'| A__questionmark_v0 (|tptp.'register_pair$ag'| A__questionmark_v1 A__questionmark_v2)) (|tptp.'register_pair$ah'| (|tptp.'register_pair$i'| A__questionmark_v0 A__questionmark_v1) A__questionmark_v2)))))
% 1.08/1.31 (assume a171 (forall ((A__questionmark_v0 |tptp.'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'|) (A__questionmark_v1 |tptp.'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'|) (A__questionmark_v2 |tptp.'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'|)) (=> (and (|tptp.'compatible$'| A__questionmark_v0 A__questionmark_v1) (|tptp.'compatible$'| A__questionmark_v0 A__questionmark_v2) (|tptp.'compatible$af'| A__questionmark_v1 A__questionmark_v2)) (|tptp.'equivalent_registers$aq'| (|tptp.'register_pair$ai'| A__questionmark_v0 (|tptp.'register_pair$aj'| A__questionmark_v1 A__questionmark_v2)) (|tptp.'register_pair$ak'| (|tptp.'register_pair$a'| A__questionmark_v0 A__questionmark_v1) A__questionmark_v2)))))
% 1.08/1.31 (assume a172 (forall ((A__questionmark_v0 |tptp.'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'|) (A__questionmark_v1 |tptp.'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'|) (A__questionmark_v2 |tptp.'A_a_c_prod_b_complement_domain_prod_ell2_a_a_c_prod_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'|)) (=> (and (|tptp.'compatible$'| A__questionmark_v0 A__questionmark_v1) (|tptp.'compatible$ag'| A__questionmark_v0 A__questionmark_v2) (|tptp.'compatible$a'| A__questionmark_v1 A__questionmark_v2)) (|tptp.'equivalent_registers$ar'| (|tptp.'register_pair$al'| A__questionmark_v0 (|tptp.'register_pair$d'| A__questionmark_v1 A__questionmark_v2)) (|tptp.'register_pair$am'| (|tptp.'register_pair$a'| A__questionmark_v0 A__questionmark_v1) A__questionmark_v2)))))
% 1.08/1.31 (assume a173 (forall ((A__questionmark_v0 |tptp.'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'|) (A__questionmark_v1 |tptp.'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'|) (A__questionmark_v2 |tptp.'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'|)) (=> (and (|tptp.'compatible$ah'| A__questionmark_v0 A__questionmark_v1) (|tptp.'compatible$'| A__questionmark_v0 A__questionmark_v2) (|tptp.'compatible$'| A__questionmark_v1 A__questionmark_v2)) (|tptp.'equivalent_registers$as'| (|tptp.'register_pair$an'| A__questionmark_v0 (|tptp.'register_pair$a'| A__questionmark_v1 A__questionmark_v2)) (|tptp.'register_pair$ao'| (|tptp.'register_pair$ap'| A__questionmark_v0 A__questionmark_v1) A__questionmark_v2)))))
% 1.08/1.31 (assume a174 (forall ((A__questionmark_v0 |tptp.'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'|) (A__questionmark_v1 |tptp.'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'|) (A__questionmark_v2 |tptp.'A_c_prod_b_complement_domain_ell2_a_c_prod_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'|)) (=> (and (|tptp.'compatible$ab'| A__questionmark_v0 A__questionmark_v1) (|tptp.'compatible$p'| A__questionmark_v0 A__questionmark_v2) (|tptp.'compatible$b'| A__questionmark_v1 A__questionmark_v2)) (|tptp.'equivalent_registers$at'| (|tptp.'register_pair$d'| A__questionmark_v0 (|tptp.'register_pair$'| A__questionmark_v1 A__questionmark_v2)) (|tptp.'register_pair$aq'| (|tptp.'register_pair$ar'| A__questionmark_v0 A__questionmark_v1) A__questionmark_v2)))))
% 1.08/1.31 (assume a175 (forall ((A__questionmark_v0 |tptp.'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'|) (A__questionmark_v1 |tptp.'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'|) (A__questionmark_v2 |tptp.'A_c_prod_b_complement_domain_ell2_a_c_prod_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'|)) (=> (and (|tptp.'compatible$'| A__questionmark_v0 A__questionmark_v1) (|tptp.'compatible$b'| A__questionmark_v0 A__questionmark_v2) (|tptp.'compatible$p'| A__questionmark_v1 A__questionmark_v2)) (|tptp.'equivalent_registers$au'| (|tptp.'register_pair$i'| A__questionmark_v0 (|tptp.'register_pair$b'| A__questionmark_v1 A__questionmark_v2)) (|tptp.'register_pair$n'| (|tptp.'register_pair$a'| A__questionmark_v0 A__questionmark_v1) A__questionmark_v2)))))
% 1.08/1.31 (assume a176 (forall ((A__questionmark_v0 |tptp.'B_ell2_b_ell2_cblinfun_c_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_fun$'|) (A__questionmark_v1 |tptp.'C_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'|)) (=> (and (forall ((A__questionmark_v2 |tptp.'C_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun$'|)) (= (|tptp.'fun_app$c'| A__questionmark_v0 (|tptp.'fun_app$d'| A__questionmark_v1 A__questionmark_v2)) A__questionmark_v2)) (forall ((A__questionmark_v2 |tptp.'B_ell2_b_ell2_cblinfun$'|)) (= (|tptp.'fun_app$d'| A__questionmark_v1 (|tptp.'fun_app$c'| A__questionmark_v0 A__questionmark_v2)) A__questionmark_v2))) (= (|tptp.'inv_into$d'| |tptp.'top$c'| A__questionmark_v1) A__questionmark_v0))))
% 1.08/1.31 (assume a177 (forall ((A__questionmark_v0 |tptp.'B_ell2_b_ell2_cblinfun_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_fun$'|) (A__questionmark_v1 |tptp.'C_a_a_c_prod_b_complement_domain_prod_prod_ell2_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'|)) (=> (and (forall ((A__questionmark_v2 |tptp.'C_a_a_c_prod_b_complement_domain_prod_prod_ell2_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun$'|)) (= (|tptp.'fun_app$'| A__questionmark_v0 (|tptp.'fun_app$e'| A__questionmark_v1 A__questionmark_v2)) A__questionmark_v2)) (forall ((A__questionmark_v2 |tptp.'B_ell2_b_ell2_cblinfun$'|)) (= (|tptp.'fun_app$e'| A__questionmark_v1 (|tptp.'fun_app$'| A__questionmark_v0 A__questionmark_v2)) A__questionmark_v2))) (= (|tptp.'inv_into$'| |tptp.'top$b'| A__questionmark_v1) A__questionmark_v0))))
% 1.08/1.31 (assume a178 (forall ((A__questionmark_v0 |tptp.'B_ell2_b_ell2_cblinfun_a_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_fun$'|) (A__questionmark_v1 |tptp.'A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'|)) (=> (and (forall ((A__questionmark_v2 |tptp.'A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun$'|)) (= (|tptp.'fun_app$f'| A__questionmark_v0 (|tptp.'fun_app$g'| A__questionmark_v1 A__questionmark_v2)) A__questionmark_v2)) (forall ((A__questionmark_v2 |tptp.'B_ell2_b_ell2_cblinfun$'|)) (= (|tptp.'fun_app$g'| A__questionmark_v1 (|tptp.'fun_app$f'| A__questionmark_v0 A__questionmark_v2)) A__questionmark_v2))) (= (|tptp.'inv_into$f'| |tptp.'top$d'| A__questionmark_v1) A__questionmark_v0))))
% 1.08/1.31 (assume a179 (forall ((A__questionmark_v0 |tptp.'A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_fun$'|) (A__questionmark_v1 |tptp.'A_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_a_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_fun$'|)) (=> (and (forall ((A__questionmark_v2 |tptp.'A_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun$'|)) (= (|tptp.'fun_app$h'| A__questionmark_v0 (|tptp.'fun_app$i'| A__questionmark_v1 A__questionmark_v2)) A__questionmark_v2)) (forall ((A__questionmark_v2 |tptp.'A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun$'|)) (= (|tptp.'fun_app$i'| A__questionmark_v1 (|tptp.'fun_app$h'| A__questionmark_v0 A__questionmark_v2)) A__questionmark_v2))) (= (|tptp.'inv_into$n'| |tptp.'top$g'| A__questionmark_v1) A__questionmark_v0))))
% 1.08/1.31 (assume a180 (forall ((A__questionmark_v0 |tptp.'B_ell2_b_ell2_cblinfun_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_fun$'|) (A__questionmark_v1 |tptp.'A_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'|)) (=> (and (forall ((A__questionmark_v2 |tptp.'A_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun$'|)) (= (|tptp.'fun_app$b'| A__questionmark_v0 (|tptp.'fun_app$j'| A__questionmark_v1 A__questionmark_v2)) A__questionmark_v2)) (forall ((A__questionmark_v2 |tptp.'B_ell2_b_ell2_cblinfun$'|)) (= (|tptp.'fun_app$j'| A__questionmark_v1 (|tptp.'fun_app$b'| A__questionmark_v0 A__questionmark_v2)) A__questionmark_v2))) (= (|tptp.'inv_into$o'| |tptp.'top$g'| A__questionmark_v1) A__questionmark_v0))))
% 1.08/1.31 (assume a181 (forall ((A__questionmark_v0 |tptp.'A_c_prod_a_c_prod_b_complement_domain_prod_ell2_a_c_prod_a_c_prod_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'|) (A__questionmark_v1 |tptp.'A_c_prod_a_c_prod_b_complement_domain_prod_ell2_a_c_prod_a_c_prod_b_complement_domain_prod_ell2_cblinfun_set$'|) (A__questionmark_v2 |tptp.'B_ell2_b_ell2_cblinfun_set$'|) (A__questionmark_v3 |tptp.'B_ell2_b_ell2_cblinfun$'|)) (=> (and (|tptp.'bij_betw$'| A__questionmark_v0 A__questionmark_v1 A__questionmark_v2) (|tptp.'member$'| A__questionmark_v3 A__questionmark_v2)) (= (|tptp.'fun_app$k'| A__questionmark_v0 (|tptp.'fun_app$a'| (|tptp.'inv_into$a'| A__questionmark_v1 A__questionmark_v0) A__questionmark_v3)) A__questionmark_v3))))
% 1.08/1.31 (assume a182 (forall ((A__questionmark_v0 |tptp.'C_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'|) (A__questionmark_v1 |tptp.'C_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_set$'|) (A__questionmark_v2 |tptp.'B_ell2_b_ell2_cblinfun_set$'|) (A__questionmark_v3 |tptp.'B_ell2_b_ell2_cblinfun$'|)) (=> (and (|tptp.'bij_betw$b'| A__questionmark_v0 A__questionmark_v1 A__questionmark_v2) (|tptp.'member$'| A__questionmark_v3 A__questionmark_v2)) (= (|tptp.'fun_app$d'| A__questionmark_v0 (|tptp.'fun_app$c'| (|tptp.'inv_into$d'| A__questionmark_v1 A__questionmark_v0) A__questionmark_v3)) A__questionmark_v3))))
% 1.08/1.31 (assume a183 (forall ((A__questionmark_v0 |tptp.'C_a_a_c_prod_b_complement_domain_prod_prod_ell2_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'|) (A__questionmark_v1 |tptp.'C_a_a_c_prod_b_complement_domain_prod_prod_ell2_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_set$'|) (A__questionmark_v2 |tptp.'B_ell2_b_ell2_cblinfun_set$'|) (A__questionmark_v3 |tptp.'B_ell2_b_ell2_cblinfun$'|)) (=> (and (|tptp.'bij_betw$m'| A__questionmark_v0 A__questionmark_v1 A__questionmark_v2) (|tptp.'member$'| A__questionmark_v3 A__questionmark_v2)) (= (|tptp.'fun_app$e'| A__questionmark_v0 (|tptp.'fun_app$'| (|tptp.'inv_into$'| A__questionmark_v1 A__questionmark_v0) A__questionmark_v3)) A__questionmark_v3))))
% 1.08/1.31 (assume a184 (forall ((A__questionmark_v0 |tptp.'A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'|) (A__questionmark_v1 |tptp.'A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_set$'|) (A__questionmark_v2 |tptp.'B_ell2_b_ell2_cblinfun_set$'|) (A__questionmark_v3 |tptp.'B_ell2_b_ell2_cblinfun$'|)) (=> (and (|tptp.'bij_betw$d'| A__questionmark_v0 A__questionmark_v1 A__questionmark_v2) (|tptp.'member$'| A__questionmark_v3 A__questionmark_v2)) (= (|tptp.'fun_app$g'| A__questionmark_v0 (|tptp.'fun_app$f'| (|tptp.'inv_into$f'| A__questionmark_v1 A__questionmark_v0) A__questionmark_v3)) A__questionmark_v3))))
% 1.08/1.31 (assume a185 (forall ((A__questionmark_v0 |tptp.'A_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_a_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_fun$'|) (A__questionmark_v1 |tptp.'A_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_set$'|) (A__questionmark_v2 |tptp.'A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_set$'|) (A__questionmark_v3 |tptp.'A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun$'|)) (=> (and (|tptp.'bij_betw$o'| A__questionmark_v0 A__questionmark_v1 A__questionmark_v2) (|tptp.'member$a'| A__questionmark_v3 A__questionmark_v2)) (= (|tptp.'fun_app$i'| A__questionmark_v0 (|tptp.'fun_app$h'| (|tptp.'inv_into$n'| A__questionmark_v1 A__questionmark_v0) A__questionmark_v3)) A__questionmark_v3))))
% 1.08/1.31 (assume a186 (forall ((A__questionmark_v0 |tptp.'A_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'|) (A__questionmark_v1 |tptp.'A_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_set$'|) (A__questionmark_v2 |tptp.'B_ell2_b_ell2_cblinfun_set$'|) (A__questionmark_v3 |tptp.'B_ell2_b_ell2_cblinfun$'|)) (=> (and (|tptp.'bij_betw$p'| A__questionmark_v0 A__questionmark_v1 A__questionmark_v2) (|tptp.'member$'| A__questionmark_v3 A__questionmark_v2)) (= (|tptp.'fun_app$j'| A__questionmark_v0 (|tptp.'fun_app$b'| (|tptp.'inv_into$o'| A__questionmark_v1 A__questionmark_v0) A__questionmark_v3)) A__questionmark_v3))))
% 1.08/1.31 (assume a187 (forall ((A__questionmark_v0 |tptp.'A_c_prod_a_c_prod_b_complement_domain_prod_ell2_a_c_prod_a_c_prod_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'|) (A__questionmark_v1 |tptp.'A_c_prod_a_c_prod_b_complement_domain_prod_ell2_a_c_prod_a_c_prod_b_complement_domain_prod_ell2_cblinfun_set$'|) (A__questionmark_v2 |tptp.'B_ell2_b_ell2_cblinfun_set$'|) (A__questionmark_v3 |tptp.'A_c_prod_a_c_prod_b_complement_domain_prod_ell2_a_c_prod_a_c_prod_b_complement_domain_prod_ell2_cblinfun$'|)) (=> (and (|tptp.'bij_betw$'| A__questionmark_v0 A__questionmark_v1 A__questionmark_v2) (|tptp.'member$b'| A__questionmark_v3 A__questionmark_v1)) (= (|tptp.'fun_app$a'| (|tptp.'inv_into$a'| A__questionmark_v1 A__questionmark_v0) (|tptp.'fun_app$k'| A__questionmark_v0 A__questionmark_v3)) A__questionmark_v3))))
% 1.08/1.31 (assume a188 (forall ((A__questionmark_v0 |tptp.'C_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'|) (A__questionmark_v1 |tptp.'C_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_set$'|) (A__questionmark_v2 |tptp.'B_ell2_b_ell2_cblinfun_set$'|) (A__questionmark_v3 |tptp.'C_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun$'|)) (=> (and (|tptp.'bij_betw$b'| A__questionmark_v0 A__questionmark_v1 A__questionmark_v2) (|tptp.'member$c'| A__questionmark_v3 A__questionmark_v1)) (= (|tptp.'fun_app$c'| (|tptp.'inv_into$d'| A__questionmark_v1 A__questionmark_v0) (|tptp.'fun_app$d'| A__questionmark_v0 A__questionmark_v3)) A__questionmark_v3))))
% 1.08/1.31 (assume a189 (forall ((A__questionmark_v0 |tptp.'C_a_a_c_prod_b_complement_domain_prod_prod_ell2_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'|) (A__questionmark_v1 |tptp.'C_a_a_c_prod_b_complement_domain_prod_prod_ell2_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_set$'|) (A__questionmark_v2 |tptp.'B_ell2_b_ell2_cblinfun_set$'|) (A__questionmark_v3 |tptp.'C_a_a_c_prod_b_complement_domain_prod_prod_ell2_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun$'|)) (=> (and (|tptp.'bij_betw$m'| A__questionmark_v0 A__questionmark_v1 A__questionmark_v2) (|tptp.'member$d'| A__questionmark_v3 A__questionmark_v1)) (= (|tptp.'fun_app$'| (|tptp.'inv_into$'| A__questionmark_v1 A__questionmark_v0) (|tptp.'fun_app$e'| A__questionmark_v0 A__questionmark_v3)) A__questionmark_v3))))
% 1.08/1.31 (assume a190 (forall ((A__questionmark_v0 |tptp.'A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'|) (A__questionmark_v1 |tptp.'A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_set$'|) (A__questionmark_v2 |tptp.'B_ell2_b_ell2_cblinfun_set$'|) (A__questionmark_v3 |tptp.'A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun$'|)) (=> (and (|tptp.'bij_betw$d'| A__questionmark_v0 A__questionmark_v1 A__questionmark_v2) (|tptp.'member$a'| A__questionmark_v3 A__questionmark_v1)) (= (|tptp.'fun_app$f'| (|tptp.'inv_into$f'| A__questionmark_v1 A__questionmark_v0) (|tptp.'fun_app$g'| A__questionmark_v0 A__questionmark_v3)) A__questionmark_v3))))
% 1.08/1.31 (assume a191 (forall ((A__questionmark_v0 |tptp.'A_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_a_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_fun$'|) (A__questionmark_v1 |tptp.'A_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_set$'|) (A__questionmark_v2 |tptp.'A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_set$'|) (A__questionmark_v3 |tptp.'A_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun$'|)) (=> (and (|tptp.'bij_betw$o'| A__questionmark_v0 A__questionmark_v1 A__questionmark_v2) (|tptp.'member$e'| A__questionmark_v3 A__questionmark_v1)) (= (|tptp.'fun_app$h'| (|tptp.'inv_into$n'| A__questionmark_v1 A__questionmark_v0) (|tptp.'fun_app$i'| A__questionmark_v0 A__questionmark_v3)) A__questionmark_v3))))
% 1.08/1.31 (assume a192 (forall ((A__questionmark_v0 |tptp.'A_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'|) (A__questionmark_v1 |tptp.'A_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_set$'|) (A__questionmark_v2 |tptp.'B_ell2_b_ell2_cblinfun_set$'|) (A__questionmark_v3 |tptp.'A_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun$'|)) (=> (and (|tptp.'bij_betw$p'| A__questionmark_v0 A__questionmark_v1 A__questionmark_v2) (|tptp.'member$e'| A__questionmark_v3 A__questionmark_v1)) (= (|tptp.'fun_app$b'| (|tptp.'inv_into$o'| A__questionmark_v1 A__questionmark_v0) (|tptp.'fun_app$j'| A__questionmark_v0 A__questionmark_v3)) A__questionmark_v3))))
% 1.08/1.31 (assume a193 (forall ((A__questionmark_v0 |tptp.'C_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'|) (A__questionmark_v1 |tptp.'C_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_set$'|) (A__questionmark_v2 |tptp.'B_ell2_b_ell2_cblinfun_set$'|) (A__questionmark_v3 |tptp.'C_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun$'|)) (=> (and (|tptp.'bij_betw$b'| A__questionmark_v0 A__questionmark_v1 A__questionmark_v2) (|tptp.'member$c'| A__questionmark_v3 A__questionmark_v1)) (= (|tptp.'fun_app$d'| (|tptp.'inv_into$c'| A__questionmark_v2 (|tptp.'inv_into$d'| A__questionmark_v1 A__questionmark_v0)) A__questionmark_v3) (|tptp.'fun_app$d'| A__questionmark_v0 A__questionmark_v3)))))
% 1.08/1.31 (assume a194 (forall ((A__questionmark_v0 |tptp.'A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'|) (A__questionmark_v1 |tptp.'A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_set$'|) (A__questionmark_v2 |tptp.'B_ell2_b_ell2_cblinfun_set$'|) (A__questionmark_v3 |tptp.'A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun$'|)) (=> (and (|tptp.'bij_betw$d'| A__questionmark_v0 A__questionmark_v1 A__questionmark_v2) (|tptp.'member$a'| A__questionmark_v3 A__questionmark_v1)) (= (|tptp.'fun_app$g'| (|tptp.'inv_into$e'| A__questionmark_v2 (|tptp.'inv_into$f'| A__questionmark_v1 A__questionmark_v0)) A__questionmark_v3) (|tptp.'fun_app$g'| A__questionmark_v0 A__questionmark_v3)))))
% 1.08/1.31 (assume a195 (forall ((A__questionmark_v0 |tptp.'B_ell2_b_ell2_cblinfun_c_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_fun$'|) (A__questionmark_v1 |tptp.'B_ell2_b_ell2_cblinfun_set$'|) (A__questionmark_v2 |tptp.'C_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_set$'|) (A__questionmark_v3 |tptp.'B_ell2_b_ell2_cblinfun$'|)) (=> (and (|tptp.'bij_betw$c'| A__questionmark_v0 A__questionmark_v1 A__questionmark_v2) (|tptp.'member$'| A__questionmark_v3 A__questionmark_v1)) (= (|tptp.'fun_app$c'| (|tptp.'inv_into$d'| A__questionmark_v2 (|tptp.'inv_into$c'| A__questionmark_v1 A__questionmark_v0)) A__questionmark_v3) (|tptp.'fun_app$c'| A__questionmark_v0 A__questionmark_v3)))))
% 1.08/1.31 (assume a196 (forall ((A__questionmark_v0 |tptp.'B_ell2_b_ell2_cblinfun_a_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_fun$'|) (A__questionmark_v1 |tptp.'B_ell2_b_ell2_cblinfun_set$'|) (A__questionmark_v2 |tptp.'A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_set$'|) (A__questionmark_v3 |tptp.'B_ell2_b_ell2_cblinfun$'|)) (=> (and (|tptp.'bij_betw$e'| A__questionmark_v0 A__questionmark_v1 A__questionmark_v2) (|tptp.'member$'| A__questionmark_v3 A__questionmark_v1)) (= (|tptp.'fun_app$f'| (|tptp.'inv_into$f'| A__questionmark_v2 (|tptp.'inv_into$e'| A__questionmark_v1 A__questionmark_v0)) A__questionmark_v3) (|tptp.'fun_app$f'| A__questionmark_v0 A__questionmark_v3)))))
% 1.08/1.31 (assume a197 (forall ((A__questionmark_v0 |tptp.'A_c_prod_a_c_prod_b_complement_domain_prod_ell2_a_c_prod_a_c_prod_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'|) (A__questionmark_v1 |tptp.'A_c_prod_a_c_prod_b_complement_domain_prod_ell2_a_c_prod_a_c_prod_b_complement_domain_prod_ell2_cblinfun_set$'|) (A__questionmark_v2 |tptp.'B_ell2_b_ell2_cblinfun_set$'|) (A__questionmark_v3 |tptp.'A_c_prod_a_c_prod_b_complement_domain_prod_ell2_a_c_prod_a_c_prod_b_complement_domain_prod_ell2_cblinfun$'|)) (=> (and (|tptp.'bij_betw$'| A__questionmark_v0 A__questionmark_v1 A__questionmark_v2) (|tptp.'member$b'| A__questionmark_v3 A__questionmark_v1)) (= (|tptp.'fun_app$k'| (|tptp.'inv_into$m'| A__questionmark_v2 (|tptp.'inv_into$a'| A__questionmark_v1 A__questionmark_v0)) A__questionmark_v3) (|tptp.'fun_app$k'| A__questionmark_v0 A__questionmark_v3)))))
% 1.08/1.31 (assume a198 (forall ((A__questionmark_v0 |tptp.'C_a_a_c_prod_b_complement_domain_prod_prod_ell2_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'|) (A__questionmark_v1 |tptp.'C_a_a_c_prod_b_complement_domain_prod_prod_ell2_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_set$'|) (A__questionmark_v2 |tptp.'B_ell2_b_ell2_cblinfun_set$'|) (A__questionmark_v3 |tptp.'C_a_a_c_prod_b_complement_domain_prod_prod_ell2_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun$'|)) (=> (and (|tptp.'bij_betw$m'| A__questionmark_v0 A__questionmark_v1 A__questionmark_v2) (|tptp.'member$d'| A__questionmark_v3 A__questionmark_v1)) (= (|tptp.'fun_app$e'| (|tptp.'inv_into$p'| A__questionmark_v2 (|tptp.'inv_into$'| A__questionmark_v1 A__questionmark_v0)) A__questionmark_v3) (|tptp.'fun_app$e'| A__questionmark_v0 A__questionmark_v3)))))
% 1.08/1.31 (assume a199 (forall ((A__questionmark_v0 |tptp.'A_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'|) (A__questionmark_v1 |tptp.'A_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_set$'|) (A__questionmark_v2 |tptp.'B_ell2_b_ell2_cblinfun_set$'|) (A__questionmark_v3 |tptp.'A_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun$'|)) (=> (and (|tptp.'bij_betw$p'| A__questionmark_v0 A__questionmark_v1 A__questionmark_v2) (|tptp.'member$e'| A__questionmark_v3 A__questionmark_v1)) (= (|tptp.'fun_app$j'| (|tptp.'inv_into$q'| A__questionmark_v2 (|tptp.'inv_into$o'| A__questionmark_v1 A__questionmark_v0)) A__questionmark_v3) (|tptp.'fun_app$j'| A__questionmark_v0 A__questionmark_v3)))))
% 1.08/1.31 (assume a200 (forall ((A__questionmark_v0 |tptp.'B_ell2_b_ell2_cblinfun_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_fun$'|) (A__questionmark_v1 |tptp.'B_ell2_b_ell2_cblinfun_set$'|) (A__questionmark_v2 |tptp.'C_a_a_c_prod_b_complement_domain_prod_prod_ell2_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_set$'|) (A__questionmark_v3 |tptp.'B_ell2_b_ell2_cblinfun$'|)) (=> (and (|tptp.'bij_betw$q'| A__questionmark_v0 A__questionmark_v1 A__questionmark_v2) (|tptp.'member$'| A__questionmark_v3 A__questionmark_v1)) (= (|tptp.'fun_app$'| (|tptp.'inv_into$'| A__questionmark_v2 (|tptp.'inv_into$p'| A__questionmark_v1 A__questionmark_v0)) A__questionmark_v3) (|tptp.'fun_app$'| A__questionmark_v0 A__questionmark_v3)))))
% 1.08/1.31 (assume a201 (forall ((A__questionmark_v0 |tptp.'B_ell2_b_ell2_cblinfun_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_fun$'|) (A__questionmark_v1 |tptp.'B_ell2_b_ell2_cblinfun_set$'|) (A__questionmark_v2 |tptp.'A_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_set$'|) (A__questionmark_v3 |tptp.'B_ell2_b_ell2_cblinfun$'|)) (=> (and (|tptp.'bij_betw$r'| A__questionmark_v0 A__questionmark_v1 A__questionmark_v2) (|tptp.'member$'| A__questionmark_v3 A__questionmark_v1)) (= (|tptp.'fun_app$b'| (|tptp.'inv_into$o'| A__questionmark_v2 (|tptp.'inv_into$q'| A__questionmark_v1 A__questionmark_v0)) A__questionmark_v3) (|tptp.'fun_app$b'| A__questionmark_v0 A__questionmark_v3)))))
% 1.08/1.31 (assume a202 (forall ((A__questionmark_v0 |tptp.'A_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_a_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_fun$'|) (A__questionmark_v1 |tptp.'A_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_set$'|) (A__questionmark_v2 |tptp.'A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_set$'|) (A__questionmark_v3 |tptp.'A_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun$'|)) (=> (and (|tptp.'bij_betw$o'| A__questionmark_v0 A__questionmark_v1 A__questionmark_v2) (|tptp.'member$e'| A__questionmark_v3 A__questionmark_v1)) (= (|tptp.'fun_app$i'| (|tptp.'inv_into$r'| A__questionmark_v2 (|tptp.'inv_into$n'| A__questionmark_v1 A__questionmark_v0)) A__questionmark_v3) (|tptp.'fun_app$i'| A__questionmark_v0 A__questionmark_v3)))))
% 1.08/1.31 (assume a203 (forall ((A__questionmark_v0 |tptp.'B_ell2_b_ell2_cblinfun_a_c_prod_a_c_prod_b_complement_domain_prod_ell2_a_c_prod_a_c_prod_b_complement_domain_prod_ell2_cblinfun_fun$'|) (A__questionmark_v1 |tptp.'B_ell2_b_ell2_cblinfun_set$'|) (A__questionmark_v2 |tptp.'A_c_prod_a_c_prod_b_complement_domain_prod_ell2_a_c_prod_a_c_prod_b_complement_domain_prod_ell2_cblinfun_set$'|)) (=> (|tptp.'bij_betw$j'| A__questionmark_v0 A__questionmark_v1 A__questionmark_v2) (|tptp.'bij_betw$'| (|tptp.'inv_into$m'| A__questionmark_v1 A__questionmark_v0) A__questionmark_v2 A__questionmark_v1))))
% 1.08/1.31 (assume a204 (forall ((A__questionmark_v0 |tptp.'B_ell2_b_ell2_cblinfun_c_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_fun$'|) (A__questionmark_v1 |tptp.'B_ell2_b_ell2_cblinfun_set$'|) (A__questionmark_v2 |tptp.'C_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_set$'|)) (=> (|tptp.'bij_betw$c'| A__questionmark_v0 A__questionmark_v1 A__questionmark_v2) (|tptp.'bij_betw$b'| (|tptp.'inv_into$c'| A__questionmark_v1 A__questionmark_v0) A__questionmark_v2 A__questionmark_v1))))
% 1.08/1.31 (assume a205 (forall ((A__questionmark_v0 |tptp.'B_ell2_b_ell2_cblinfun_a_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_fun$'|) (A__questionmark_v1 |tptp.'B_ell2_b_ell2_cblinfun_set$'|) (A__questionmark_v2 |tptp.'A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_set$'|)) (=> (|tptp.'bij_betw$e'| A__questionmark_v0 A__questionmark_v1 A__questionmark_v2) (|tptp.'bij_betw$d'| (|tptp.'inv_into$e'| A__questionmark_v1 A__questionmark_v0) A__questionmark_v2 A__questionmark_v1))))
% 1.08/1.31 (assume a206 (forall ((A__questionmark_v0 |tptp.'A_c_prod_a_c_prod_b_complement_domain_prod_ell2_a_c_prod_a_c_prod_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'|) (A__questionmark_v1 |tptp.'A_c_prod_a_c_prod_b_complement_domain_prod_ell2_a_c_prod_a_c_prod_b_complement_domain_prod_ell2_cblinfun_set$'|) (A__questionmark_v2 |tptp.'B_ell2_b_ell2_cblinfun_set$'|)) (=> (|tptp.'bij_betw$'| A__questionmark_v0 A__questionmark_v1 A__questionmark_v2) (|tptp.'bij_betw$j'| (|tptp.'inv_into$a'| A__questionmark_v1 A__questionmark_v0) A__questionmark_v2 A__questionmark_v1))))
% 1.08/1.31 (assume a207 (forall ((A__questionmark_v0 |tptp.'C_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'|) (A__questionmark_v1 |tptp.'C_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_set$'|) (A__questionmark_v2 |tptp.'B_ell2_b_ell2_cblinfun_set$'|)) (=> (|tptp.'bij_betw$b'| A__questionmark_v0 A__questionmark_v1 A__questionmark_v2) (|tptp.'bij_betw$c'| (|tptp.'inv_into$d'| A__questionmark_v1 A__questionmark_v0) A__questionmark_v2 A__questionmark_v1))))
% 1.08/1.31 (assume a208 (forall ((A__questionmark_v0 |tptp.'C_a_a_c_prod_b_complement_domain_prod_prod_ell2_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'|) (A__questionmark_v1 |tptp.'C_a_a_c_prod_b_complement_domain_prod_prod_ell2_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_set$'|) (A__questionmark_v2 |tptp.'B_ell2_b_ell2_cblinfun_set$'|)) (=> (|tptp.'bij_betw$m'| A__questionmark_v0 A__questionmark_v1 A__questionmark_v2) (|tptp.'bij_betw$q'| (|tptp.'inv_into$'| A__questionmark_v1 A__questionmark_v0) A__questionmark_v2 A__questionmark_v1))))
% 1.08/1.31 (assume a209 (forall ((A__questionmark_v0 |tptp.'A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'|) (A__questionmark_v1 |tptp.'A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_set$'|) (A__questionmark_v2 |tptp.'B_ell2_b_ell2_cblinfun_set$'|)) (=> (|tptp.'bij_betw$d'| A__questionmark_v0 A__questionmark_v1 A__questionmark_v2) (|tptp.'bij_betw$e'| (|tptp.'inv_into$f'| A__questionmark_v1 A__questionmark_v0) A__questionmark_v2 A__questionmark_v1))))
% 1.08/1.31 (assume a210 (forall ((A__questionmark_v0 |tptp.'A_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_a_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_fun$'|) (A__questionmark_v1 |tptp.'A_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_set$'|) (A__questionmark_v2 |tptp.'A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_set$'|)) (=> (|tptp.'bij_betw$o'| A__questionmark_v0 A__questionmark_v1 A__questionmark_v2) (|tptp.'bij_betw$s'| (|tptp.'inv_into$n'| A__questionmark_v1 A__questionmark_v0) A__questionmark_v2 A__questionmark_v1))))
% 1.08/1.31 (assume a211 (forall ((A__questionmark_v0 |tptp.'A_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'|) (A__questionmark_v1 |tptp.'A_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_set$'|) (A__questionmark_v2 |tptp.'B_ell2_b_ell2_cblinfun_set$'|)) (=> (|tptp.'bij_betw$p'| A__questionmark_v0 A__questionmark_v1 A__questionmark_v2) (|tptp.'bij_betw$r'| (|tptp.'inv_into$o'| A__questionmark_v1 A__questionmark_v0) A__questionmark_v2 A__questionmark_v1))))
% 1.08/1.31 (assume a212 (forall ((A__questionmark_v0 |tptp.'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'|) (A__questionmark_v1 |tptp.'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'|)) (=> (|tptp.'compatible$'| A__questionmark_v0 A__questionmark_v1) (|tptp.'register$'| A__questionmark_v1))))
% 1.08/1.31 (assume a213 (forall ((A__questionmark_v0 |tptp.'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'|) (A__questionmark_v1 |tptp.'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'|)) (=> (|tptp.'compatible$'| A__questionmark_v0 A__questionmark_v1) (|tptp.'register$a'| A__questionmark_v0))))
% 1.08/1.31 (assume a214 (forall ((A__questionmark_v0 |tptp.'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'|) (A__questionmark_v1 |tptp.'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'|) (A__questionmark_v2 |tptp.'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'|)) (=> (and (|tptp.'compatible$'| A__questionmark_v0 A__questionmark_v1) (|tptp.'compatible$af'| A__questionmark_v1 A__questionmark_v2) (|tptp.'compatible$'| A__questionmark_v0 A__questionmark_v2)) (|tptp.'compatible$ai'| A__questionmark_v0 (|tptp.'register_pair$aj'| A__questionmark_v1 A__questionmark_v2)))))
% 1.08/1.31 (assume a215 (forall ((A__questionmark_v0 |tptp.'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'|) (A__questionmark_v1 |tptp.'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'|) (A__questionmark_v2 |tptp.'A_a_c_prod_b_complement_domain_prod_ell2_a_a_c_prod_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'|)) (=> (and (|tptp.'compatible$'| A__questionmark_v0 A__questionmark_v1) (|tptp.'compatible$a'| A__questionmark_v1 A__questionmark_v2) (|tptp.'compatible$ag'| A__questionmark_v0 A__questionmark_v2)) (|tptp.'compatible$aj'| A__questionmark_v0 (|tptp.'register_pair$d'| A__questionmark_v1 A__questionmark_v2)))))
% 1.08/1.31 (assume a216 (forall ((A__questionmark_v0 |tptp.'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'|) (A__questionmark_v1 |tptp.'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'|) (A__questionmark_v2 |tptp.'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'|)) (=> (and (|tptp.'compatible$ah'| A__questionmark_v0 A__questionmark_v1) (|tptp.'compatible$'| A__questionmark_v1 A__questionmark_v2) (|tptp.'compatible$'| A__questionmark_v0 A__questionmark_v2)) (|tptp.'compatible$ak'| A__questionmark_v0 (|tptp.'register_pair$a'| A__questionmark_v1 A__questionmark_v2)))))
% 1.08/1.31 (assume a217 (forall ((A__questionmark_v0 |tptp.'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'|) (A__questionmark_v1 |tptp.'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'|) (A__questionmark_v2 |tptp.'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'|)) (=> (and (|tptp.'compatible$ah'| A__questionmark_v0 A__questionmark_v1) (|tptp.'compatible$'| A__questionmark_v1 A__questionmark_v2) (|tptp.'compatible$'| A__questionmark_v0 A__questionmark_v2)) (|tptp.'compatible$al'| (|tptp.'register_pair$ap'| A__questionmark_v0 A__questionmark_v1) A__questionmark_v2))))
% 1.08/1.31 (assume a218 (forall ((A__questionmark_v0 |tptp.'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'|) (A__questionmark_v1 |tptp.'A_c_prod_b_complement_domain_ell2_a_c_prod_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'|) (A__questionmark_v2 |tptp.'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'|)) (=> (and (|tptp.'compatible$b'| A__questionmark_v0 A__questionmark_v1) (|tptp.'compatible$ac'| A__questionmark_v1 A__questionmark_v2) (|tptp.'compatible$'| A__questionmark_v0 A__questionmark_v2)) (|tptp.'compatible$am'| (|tptp.'register_pair$'| A__questionmark_v0 A__questionmark_v1) A__questionmark_v2))))
% 1.08/1.31 (assume a219 (forall ((A__questionmark_v0 |tptp.'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'|) (A__questionmark_v1 |tptp.'A_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'|) (A__questionmark_v2 |tptp.'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'|)) (=> (and (|tptp.'compatible$c'| A__questionmark_v0 A__questionmark_v1) (|tptp.'compatible$ad'| A__questionmark_v1 A__questionmark_v2) (|tptp.'compatible$'| A__questionmark_v0 A__questionmark_v2)) (|tptp.'compatible$an'| (|tptp.'register_pair$g'| A__questionmark_v0 A__questionmark_v1) A__questionmark_v2))))
% 1.08/1.31 (assume a220 (forall ((A__questionmark_v0 |tptp.'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'|) (A__questionmark_v1 |tptp.'C_a_c_prod_b_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'|) (A__questionmark_v2 |tptp.'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'|)) (=> (and (|tptp.'compatible$d'| A__questionmark_v0 A__questionmark_v1) (|tptp.'compatible$ae'| A__questionmark_v1 A__questionmark_v2) (|tptp.'compatible$'| A__questionmark_v0 A__questionmark_v2)) (|tptp.'compatible$ao'| (|tptp.'register_pair$i'| A__questionmark_v0 A__questionmark_v1) A__questionmark_v2))))
% 1.08/1.31 (assume a221 (forall ((A__questionmark_v0 |tptp.'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'|) (A__questionmark_v1 |tptp.'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'|) (A__questionmark_v2 |tptp.'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'|)) (=> (and (|tptp.'compatible$'| A__questionmark_v0 A__questionmark_v1) (|tptp.'compatible$af'| A__questionmark_v1 A__questionmark_v2) (|tptp.'compatible$'| A__questionmark_v0 A__questionmark_v2)) (|tptp.'compatible$ap'| (|tptp.'register_pair$a'| A__questionmark_v0 A__questionmark_v1) A__questionmark_v2))))
% 1.08/1.31 (assume a222 (forall ((A__questionmark_v0 |tptp.'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'|)) (=> (|tptp.'iso_register$t'| A__questionmark_v0) (|tptp.'register$'| A__questionmark_v0))))
% 1.08/1.31 (assume a223 (forall ((A__questionmark_v0 |tptp.'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'|)) (=> (|tptp.'iso_register$u'| A__questionmark_v0) (|tptp.'register$a'| A__questionmark_v0))))
% 1.08/1.31 (assume a224 (forall ((A__questionmark_v0 |tptp.'C_a_c_prod_b_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_ell2_cblinfun_a_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_fun$'|)) (=> (|tptp.'iso_register$'| A__questionmark_v0) (|tptp.'register$e'| A__questionmark_v0))))
% 1.08/1.31 (assume a225 (forall ((A__questionmark_v0 |tptp.'A_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'|) (A__questionmark_v1 |tptp.'C_a_c_prod_b_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'|)) (=> (|tptp.'equivalent_registers$'| A__questionmark_v0 A__questionmark_v1) (|tptp.'register$o'| A__questionmark_v1))))
% 1.08/1.31 (assume a226 (forall ((A__questionmark_v0 |tptp.'A_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'|) (A__questionmark_v1 |tptp.'C_a_c_prod_b_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'|)) (=> (|tptp.'equivalent_registers$'| A__questionmark_v0 A__questionmark_v1) (|tptp.'register$d'| A__questionmark_v0))))
% 1.08/1.31 (assume a227 (forall ((A__questionmark_v0 |tptp.'A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_fun$'|) (A__questionmark_v1 |tptp.'B_ell2_b_ell2_cblinfun_a_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_fun$'|)) (=> (and (|tptp.'iso_register$q'| A__questionmark_v0) (|tptp.'iso_register$f'| A__questionmark_v1)) (|tptp.'iso_register$r'| (|tptp.'comp$a'| A__questionmark_v0 A__questionmark_v1)))))
% 1.08/1.31 (assume a228 (forall ((A__questionmark_v0 |tptp.'A_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'|) (A__questionmark_v1 |tptp.'C_a_c_prod_b_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_ell2_cblinfun_a_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_fun$'|)) (=> (and (|tptp.'iso_register$v'| A__questionmark_v0) (|tptp.'iso_register$'| A__questionmark_v1)) (|tptp.'iso_register$w'| (|tptp.'comp$'| A__questionmark_v0 A__questionmark_v1)))))
% 1.08/1.31 (assume a229 (forall ((A__questionmark_v0 |tptp.'A_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_a_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_fun$'|) (A__questionmark_v1 |tptp.'C_a_c_prod_b_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_ell2_cblinfun_a_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_fun$'|)) (=> (and (|tptp.'iso_register$x'| A__questionmark_v0) (|tptp.'iso_register$'| A__questionmark_v1)) (|tptp.'iso_register$'| (|tptp.'comp$am'| A__questionmark_v0 A__questionmark_v1)))))
% 1.08/1.31 (assume a230 (forall ((A__questionmark_v0 |tptp.'C_a_c_prod_b_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_ell2_cblinfun_a_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_fun$'|) (A__questionmark_v1 |tptp.'C_a_c_prod_b_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_ell2_cblinfun_c_a_c_prod_b_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_ell2_cblinfun_fun$'|)) (=> (and (|tptp.'iso_register$'| A__questionmark_v0) (|tptp.'iso_register$y'| A__questionmark_v1)) (|tptp.'iso_register$'| (|tptp.'comp$an'| A__questionmark_v0 A__questionmark_v1)))))
% 1.08/1.31 (assume a231 (forall ((A__questionmark_v0 |tptp.'B_ell2_b_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'|)) (=> (|tptp.'bij_betw$a'| A__questionmark_v0 |tptp.'top$a'| |tptp.'top$a'|) (|tptp.'bij_betw$a'| (|tptp.'inv_into$b'| |tptp.'top$a'| A__questionmark_v0) |tptp.'top$a'| |tptp.'top$a'|))))
% 1.08/1.31 (assume a232 (forall ((A__questionmark_v0 |tptp.'C_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'|)) (=> (|tptp.'bij_betw$b'| A__questionmark_v0 |tptp.'top$c'| |tptp.'top$a'|) (|tptp.'bij_betw$c'| (|tptp.'inv_into$d'| |tptp.'top$c'| A__questionmark_v0) |tptp.'top$a'| |tptp.'top$c'|))))
% 1.08/1.31 (assume a233 (forall ((A__questionmark_v0 |tptp.'A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'|)) (=> (|tptp.'bij_betw$d'| A__questionmark_v0 |tptp.'top$d'| |tptp.'top$a'|) (|tptp.'bij_betw$e'| (|tptp.'inv_into$f'| |tptp.'top$d'| A__questionmark_v0) |tptp.'top$a'| |tptp.'top$d'|))))
% 1.08/1.31 (assume a234 (forall ((A__questionmark_v0 |tptp.'B_ell2_b_ell2_cblinfun_c_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_fun$'|)) (=> (|tptp.'bij_betw$c'| A__questionmark_v0 |tptp.'top$a'| |tptp.'top$c'|) (|tptp.'bij_betw$b'| (|tptp.'inv_into$c'| |tptp.'top$a'| A__questionmark_v0) |tptp.'top$c'| |tptp.'top$a'|))))
% 1.08/1.31 (assume a235 (forall ((A__questionmark_v0 |tptp.'B_ell2_b_ell2_cblinfun_a_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_fun$'|)) (=> (|tptp.'bij_betw$e'| A__questionmark_v0 |tptp.'top$a'| |tptp.'top$d'|) (|tptp.'bij_betw$d'| (|tptp.'inv_into$e'| |tptp.'top$a'| A__questionmark_v0) |tptp.'top$d'| |tptp.'top$a'|))))
% 1.08/1.31 (assume a236 (forall ((A__questionmark_v0 |tptp.'A_c_prod_a_c_prod_b_complement_domain_prod_ell2_a_c_prod_a_c_prod_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'|)) (=> (|tptp.'bij_betw$'| A__questionmark_v0 |tptp.'top$'| |tptp.'top$a'|) (|tptp.'bij_betw$j'| (|tptp.'inv_into$a'| |tptp.'top$'| A__questionmark_v0) |tptp.'top$a'| |tptp.'top$'|))))
% 1.08/1.31 (assume a237 (forall ((A__questionmark_v0 |tptp.'C_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_c_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_fun$'|)) (=> (|tptp.'bij_betw$k'| A__questionmark_v0 |tptp.'top$c'| |tptp.'top$c'|) (|tptp.'bij_betw$k'| (|tptp.'inv_into$s'| |tptp.'top$c'| A__questionmark_v0) |tptp.'top$c'| |tptp.'top$c'|))))
% 1.08/1.31 (assume a238 (forall ((A__questionmark_v0 |tptp.'C_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_a_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_fun$'|)) (=> (|tptp.'bij_betw$l'| A__questionmark_v0 |tptp.'top$c'| |tptp.'top$d'|) (|tptp.'bij_betw$n'| (|tptp.'inv_into$t'| |tptp.'top$c'| A__questionmark_v0) |tptp.'top$d'| |tptp.'top$c'|))))
% 1.08/1.31 (assume a239 (forall ((A__questionmark_v0 |tptp.'C_a_a_c_prod_b_complement_domain_prod_prod_ell2_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'|)) (=> (|tptp.'bij_betw$m'| A__questionmark_v0 |tptp.'top$b'| |tptp.'top$a'|) (|tptp.'bij_betw$q'| (|tptp.'inv_into$'| |tptp.'top$b'| A__questionmark_v0) |tptp.'top$a'| |tptp.'top$b'|))))
% 1.08/1.31 (assume a240 (forall ((A__questionmark_v0 |tptp.'A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_c_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_fun$'|)) (=> (|tptp.'bij_betw$n'| A__questionmark_v0 |tptp.'top$d'| |tptp.'top$c'|) (|tptp.'bij_betw$l'| (|tptp.'inv_into$u'| |tptp.'top$d'| A__questionmark_v0) |tptp.'top$c'| |tptp.'top$d'|))))
% 1.08/1.31 (assume a241 (forall ((A__questionmark_v0 |tptp.'B_ell2_b_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'|) (A__questionmark_v1 |tptp.'B_ell2_b_ell2_cblinfun$'|) (A__questionmark_v2 |tptp.'B_ell2_b_ell2_cblinfun$'|)) (=> (|tptp.'bij_betw$a'| A__questionmark_v0 |tptp.'top$a'| |tptp.'top$a'|) (= (= A__questionmark_v1 (|tptp.'fun_app$l'| (|tptp.'inv_into$b'| |tptp.'top$a'| A__questionmark_v0) A__questionmark_v2)) (= (|tptp.'fun_app$l'| A__questionmark_v0 A__questionmark_v1) A__questionmark_v2)))))
% 1.08/1.31 (assume a242 (forall ((A__questionmark_v0 |tptp.'C_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'|) (A__questionmark_v1 |tptp.'C_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun$'|) (A__questionmark_v2 |tptp.'B_ell2_b_ell2_cblinfun$'|)) (=> (|tptp.'bij_betw$b'| A__questionmark_v0 |tptp.'top$c'| |tptp.'top$a'|) (= (= A__questionmark_v1 (|tptp.'fun_app$c'| (|tptp.'inv_into$d'| |tptp.'top$c'| A__questionmark_v0) A__questionmark_v2)) (= (|tptp.'fun_app$d'| A__questionmark_v0 A__questionmark_v1) A__questionmark_v2)))))
% 1.08/1.31 (assume a243 (forall ((A__questionmark_v0 |tptp.'A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'|) (A__questionmark_v1 |tptp.'A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun$'|) (A__questionmark_v2 |tptp.'B_ell2_b_ell2_cblinfun$'|)) (=> (|tptp.'bij_betw$d'| A__questionmark_v0 |tptp.'top$d'| |tptp.'top$a'|) (= (= A__questionmark_v1 (|tptp.'fun_app$f'| (|tptp.'inv_into$f'| |tptp.'top$d'| A__questionmark_v0) A__questionmark_v2)) (= (|tptp.'fun_app$g'| A__questionmark_v0 A__questionmark_v1) A__questionmark_v2)))))
% 1.08/1.31 (assume a244 (forall ((A__questionmark_v0 |tptp.'B_ell2_b_ell2_cblinfun_c_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_fun$'|) (A__questionmark_v1 |tptp.'B_ell2_b_ell2_cblinfun$'|) (A__questionmark_v2 |tptp.'C_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun$'|)) (=> (|tptp.'bij_betw$c'| A__questionmark_v0 |tptp.'top$a'| |tptp.'top$c'|) (= (= A__questionmark_v1 (|tptp.'fun_app$d'| (|tptp.'inv_into$c'| |tptp.'top$a'| A__questionmark_v0) A__questionmark_v2)) (= (|tptp.'fun_app$c'| A__questionmark_v0 A__questionmark_v1) A__questionmark_v2)))))
% 1.08/1.31 (assume a245 (forall ((A__questionmark_v0 |tptp.'B_ell2_b_ell2_cblinfun_a_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_fun$'|) (A__questionmark_v1 |tptp.'B_ell2_b_ell2_cblinfun$'|) (A__questionmark_v2 |tptp.'A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun$'|)) (=> (|tptp.'bij_betw$e'| A__questionmark_v0 |tptp.'top$a'| |tptp.'top$d'|) (= (= A__questionmark_v1 (|tptp.'fun_app$g'| (|tptp.'inv_into$e'| |tptp.'top$a'| A__questionmark_v0) A__questionmark_v2)) (= (|tptp.'fun_app$f'| A__questionmark_v0 A__questionmark_v1) A__questionmark_v2)))))
% 1.08/1.31 (assume a246 (forall ((A__questionmark_v0 |tptp.'A_c_prod_a_c_prod_b_complement_domain_prod_ell2_a_c_prod_a_c_prod_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'|) (A__questionmark_v1 |tptp.'A_c_prod_a_c_prod_b_complement_domain_prod_ell2_a_c_prod_a_c_prod_b_complement_domain_prod_ell2_cblinfun$'|) (A__questionmark_v2 |tptp.'B_ell2_b_ell2_cblinfun$'|)) (=> (|tptp.'bij_betw$'| A__questionmark_v0 |tptp.'top$'| |tptp.'top$a'|) (= (= A__questionmark_v1 (|tptp.'fun_app$a'| (|tptp.'inv_into$a'| |tptp.'top$'| A__questionmark_v0) A__questionmark_v2)) (= (|tptp.'fun_app$k'| A__questionmark_v0 A__questionmark_v1) A__questionmark_v2)))))
% 1.08/1.31 (assume a247 (forall ((A__questionmark_v0 |tptp.'C_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_c_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_fun$'|) (A__questionmark_v1 |tptp.'C_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun$'|) (A__questionmark_v2 |tptp.'C_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun$'|)) (=> (|tptp.'bij_betw$k'| A__questionmark_v0 |tptp.'top$c'| |tptp.'top$c'|) (= (= A__questionmark_v1 (|tptp.'fun_app$m'| (|tptp.'inv_into$s'| |tptp.'top$c'| A__questionmark_v0) A__questionmark_v2)) (= (|tptp.'fun_app$m'| A__questionmark_v0 A__questionmark_v1) A__questionmark_v2)))))
% 1.08/1.31 (assume a248 (forall ((A__questionmark_v0 |tptp.'C_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_a_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_fun$'|) (A__questionmark_v1 |tptp.'C_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun$'|) (A__questionmark_v2 |tptp.'A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun$'|)) (=> (|tptp.'bij_betw$l'| A__questionmark_v0 |tptp.'top$c'| |tptp.'top$d'|) (= (= A__questionmark_v1 (|tptp.'fun_app$n'| (|tptp.'inv_into$t'| |tptp.'top$c'| A__questionmark_v0) A__questionmark_v2)) (= (|tptp.'fun_app$o'| A__questionmark_v0 A__questionmark_v1) A__questionmark_v2)))))
% 1.08/1.31 (assume a249 (forall ((A__questionmark_v0 |tptp.'C_a_a_c_prod_b_complement_domain_prod_prod_ell2_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'|) (A__questionmark_v1 |tptp.'C_a_a_c_prod_b_complement_domain_prod_prod_ell2_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun$'|) (A__questionmark_v2 |tptp.'B_ell2_b_ell2_cblinfun$'|)) (=> (|tptp.'bij_betw$m'| A__questionmark_v0 |tptp.'top$b'| |tptp.'top$a'|) (= (= A__questionmark_v1 (|tptp.'fun_app$'| (|tptp.'inv_into$'| |tptp.'top$b'| A__questionmark_v0) A__questionmark_v2)) (= (|tptp.'fun_app$e'| A__questionmark_v0 A__questionmark_v1) A__questionmark_v2)))))
% 1.08/1.31 (assume a250 (forall ((A__questionmark_v0 |tptp.'A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_c_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_fun$'|) (A__questionmark_v1 |tptp.'A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun$'|) (A__questionmark_v2 |tptp.'C_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun$'|)) (=> (|tptp.'bij_betw$n'| A__questionmark_v0 |tptp.'top$d'| |tptp.'top$c'|) (= (= A__questionmark_v1 (|tptp.'fun_app$o'| (|tptp.'inv_into$u'| |tptp.'top$d'| A__questionmark_v0) A__questionmark_v2)) (= (|tptp.'fun_app$n'| A__questionmark_v0 A__questionmark_v1) A__questionmark_v2)))))
% 1.08/1.31 (assume a251 (forall ((A__questionmark_v0 |tptp.'B_ell2_b_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'|)) (=> (|tptp.'bij_betw$a'| A__questionmark_v0 |tptp.'top$a'| |tptp.'top$a'|) (= (|tptp.'inv_into$b'| |tptp.'top$a'| (|tptp.'inv_into$b'| |tptp.'top$a'| A__questionmark_v0)) A__questionmark_v0))))
% 1.08/1.31 (assume a252 (forall ((A__questionmark_v0 |tptp.'C_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'|)) (=> (|tptp.'bij_betw$b'| A__questionmark_v0 |tptp.'top$c'| |tptp.'top$a'|) (= (|tptp.'inv_into$c'| |tptp.'top$a'| (|tptp.'inv_into$d'| |tptp.'top$c'| A__questionmark_v0)) A__questionmark_v0))))
% 1.08/1.31 (assume a253 (forall ((A__questionmark_v0 |tptp.'A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'|)) (=> (|tptp.'bij_betw$d'| A__questionmark_v0 |tptp.'top$d'| |tptp.'top$a'|) (= (|tptp.'inv_into$e'| |tptp.'top$a'| (|tptp.'inv_into$f'| |tptp.'top$d'| A__questionmark_v0)) A__questionmark_v0))))
% 1.08/1.31 (assume a254 (forall ((A__questionmark_v0 |tptp.'B_ell2_b_ell2_cblinfun_c_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_fun$'|)) (=> (|tptp.'bij_betw$c'| A__questionmark_v0 |tptp.'top$a'| |tptp.'top$c'|) (= (|tptp.'inv_into$d'| |tptp.'top$c'| (|tptp.'inv_into$c'| |tptp.'top$a'| A__questionmark_v0)) A__questionmark_v0))))
% 1.08/1.31 (assume a255 (forall ((A__questionmark_v0 |tptp.'B_ell2_b_ell2_cblinfun_a_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_fun$'|)) (=> (|tptp.'bij_betw$e'| A__questionmark_v0 |tptp.'top$a'| |tptp.'top$d'|) (= (|tptp.'inv_into$f'| |tptp.'top$d'| (|tptp.'inv_into$e'| |tptp.'top$a'| A__questionmark_v0)) A__questionmark_v0))))
% 1.08/1.31 (assume a256 (forall ((A__questionmark_v0 |tptp.'A_c_prod_a_c_prod_b_complement_domain_prod_ell2_a_c_prod_a_c_prod_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'|)) (=> (|tptp.'bij_betw$'| A__questionmark_v0 |tptp.'top$'| |tptp.'top$a'|) (= (|tptp.'inv_into$m'| |tptp.'top$a'| (|tptp.'inv_into$a'| |tptp.'top$'| A__questionmark_v0)) A__questionmark_v0))))
% 1.08/1.31 (assume a257 (forall ((A__questionmark_v0 |tptp.'C_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_c_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_fun$'|)) (=> (|tptp.'bij_betw$k'| A__questionmark_v0 |tptp.'top$c'| |tptp.'top$c'|) (= (|tptp.'inv_into$s'| |tptp.'top$c'| (|tptp.'inv_into$s'| |tptp.'top$c'| A__questionmark_v0)) A__questionmark_v0))))
% 1.08/1.31 (assume a258 (forall ((A__questionmark_v0 |tptp.'C_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_a_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_fun$'|)) (=> (|tptp.'bij_betw$l'| A__questionmark_v0 |tptp.'top$c'| |tptp.'top$d'|) (= (|tptp.'inv_into$u'| |tptp.'top$d'| (|tptp.'inv_into$t'| |tptp.'top$c'| A__questionmark_v0)) A__questionmark_v0))))
% 1.08/1.31 (assume a259 (forall ((A__questionmark_v0 |tptp.'C_a_a_c_prod_b_complement_domain_prod_prod_ell2_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'|)) (=> (|tptp.'bij_betw$m'| A__questionmark_v0 |tptp.'top$b'| |tptp.'top$a'|) (= (|tptp.'inv_into$p'| |tptp.'top$a'| (|tptp.'inv_into$'| |tptp.'top$b'| A__questionmark_v0)) A__questionmark_v0))))
% 1.08/1.31 (assume a260 (forall ((A__questionmark_v0 |tptp.'A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_c_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_fun$'|)) (=> (|tptp.'bij_betw$n'| A__questionmark_v0 |tptp.'top$d'| |tptp.'top$c'|) (= (|tptp.'inv_into$t'| |tptp.'top$c'| (|tptp.'inv_into$u'| |tptp.'top$d'| A__questionmark_v0)) A__questionmark_v0))))
% 1.08/1.31 (assume a261 (forall ((A__questionmark_v0 |tptp.'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'|) (A__questionmark_v1 |tptp.'B_ell2_b_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'|) (A__questionmark_v2 |tptp.'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'|)) (=> (and (|tptp.'compatible$aq'| A__questionmark_v0 A__questionmark_v1) (|tptp.'register$'| A__questionmark_v2)) (|tptp.'compatible$'| A__questionmark_v0 (|tptp.'comp$k'| A__questionmark_v1 A__questionmark_v2)))))
% 1.08/1.31 (assume a262 (forall ((A__questionmark_v0 |tptp.'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'|) (A__questionmark_v1 |tptp.'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'|) (A__questionmark_v2 |tptp.'C_ell2_c_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$'|)) (=> (and (|tptp.'compatible$'| A__questionmark_v0 A__questionmark_v1) (|tptp.'register$p'| A__questionmark_v2)) (|tptp.'compatible$'| A__questionmark_v0 (|tptp.'comp$e'| A__questionmark_v1 A__questionmark_v2)))))
% 1.08/1.31 (assume a263 (forall ((A__questionmark_v0 |tptp.'C_a_c_prod_b_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_ell2_cblinfun_a_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_fun$'|) (A__questionmark_v1 |tptp.'C_a_c_prod_b_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_ell2_cblinfun_a_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_fun$'|) (A__questionmark_v2 |tptp.'A_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'|)) (=> (and (|tptp.'compatible$ar'| A__questionmark_v0 A__questionmark_v1) (|tptp.'register$d'| A__questionmark_v2)) (|tptp.'compatible$as'| (|tptp.'comp$'| A__questionmark_v2 A__questionmark_v0) (|tptp.'comp$'| A__questionmark_v2 A__questionmark_v1)))))
% 1.08/1.31 (assume a264 (forall ((A__questionmark_v0 |tptp.'B_ell2_b_ell2_cblinfun_a_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_fun$'|) (A__questionmark_v1 |tptp.'B_ell2_b_ell2_cblinfun_a_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_fun$'|) (A__questionmark_v2 |tptp.'A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_fun$'|)) (=> (and (|tptp.'compatible$at'| A__questionmark_v0 A__questionmark_v1) (|tptp.'register$b'| A__questionmark_v2)) (|tptp.'compatible$au'| (|tptp.'comp$a'| A__questionmark_v2 A__questionmark_v0) (|tptp.'comp$a'| A__questionmark_v2 A__questionmark_v1)))))
% 1.08/1.31 (assume a265 (forall ((A__questionmark_v0 |tptp.'A_ell2_a_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$'|) (A__questionmark_v1 |tptp.'C_ell2_c_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$'|) (A__questionmark_v2 |tptp.'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'|)) (=> (and (|tptp.'compatible$v'| A__questionmark_v0 A__questionmark_v1) (|tptp.'register$'| A__questionmark_v2)) (|tptp.'compatible$'| (|tptp.'comp$d'| A__questionmark_v2 A__questionmark_v0) (|tptp.'comp$e'| A__questionmark_v2 A__questionmark_v1)))))
% 1.08/1.31 (assume a266 (forall ((A__questionmark_v0 |tptp.'A_ell2_a_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$'|) (A__questionmark_v1 |tptp.'C_ell2_c_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$'|) (A__questionmark_v2 |tptp.'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'|)) (=> (and (|tptp.'compatible$w'| A__questionmark_v0 A__questionmark_v1) (|tptp.'register$a'| A__questionmark_v2)) (|tptp.'compatible$'| (|tptp.'comp$g'| A__questionmark_v2 A__questionmark_v0) (|tptp.'comp$h'| A__questionmark_v2 A__questionmark_v1)))))
% 1.08/1.31 (assume a267 (forall ((A__questionmark_v0 |tptp.'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'|) (A__questionmark_v1 |tptp.'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'|) (A__questionmark_v2 |tptp.'B_ell2_b_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'|)) (=> (and (|tptp.'compatible$'| A__questionmark_v0 A__questionmark_v1) (|tptp.'register$j'| A__questionmark_v2)) (|tptp.'compatible$'| (|tptp.'comp$j'| A__questionmark_v2 A__questionmark_v0) (|tptp.'comp$k'| A__questionmark_v2 A__questionmark_v1)))))
% 1.08/1.31 (assume a268 (forall ((A__questionmark_v0 |tptp.'B_ell2_b_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'|) (A__questionmark_v1 |tptp.'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'|) (A__questionmark_v2 |tptp.'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'|)) (=> (and (|tptp.'compatible$av'| A__questionmark_v0 A__questionmark_v1) (|tptp.'register$a'| A__questionmark_v2)) (|tptp.'compatible$'| (|tptp.'comp$j'| A__questionmark_v0 A__questionmark_v2) A__questionmark_v1))))
% 1.08/1.31 (assume a269 (forall ((A__questionmark_v0 |tptp.'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'|) (A__questionmark_v1 |tptp.'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'|) (A__questionmark_v2 |tptp.'A_ell2_a_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$'|)) (=> (and (|tptp.'compatible$'| A__questionmark_v0 A__questionmark_v1) (|tptp.'register$q'| A__questionmark_v2)) (|tptp.'compatible$'| (|tptp.'comp$g'| A__questionmark_v0 A__questionmark_v2) A__questionmark_v1))))
% 1.08/1.31 (assume a270 (forall ((A__questionmark_v0 |tptp.'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'|) (A__questionmark_v1 |tptp.'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'|) (A__questionmark_v2 |tptp.'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'|)) (=> (and (|tptp.'compatible$'| A__questionmark_v0 A__questionmark_v1) (|tptp.'equivalent_registers$t'| A__questionmark_v1 A__questionmark_v2)) (|tptp.'equivalent_registers$d'| (|tptp.'register_pair$a'| A__questionmark_v0 A__questionmark_v1) (|tptp.'register_pair$a'| A__questionmark_v0 A__questionmark_v2)))))
% 1.08/1.31 (assume a271 (forall ((A__questionmark_v0 |tptp.'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'|) (A__questionmark_v1 |tptp.'A_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'|) (A__questionmark_v2 |tptp.'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'|)) (=> (and (|tptp.'compatible$c'| A__questionmark_v0 A__questionmark_v1) (|tptp.'equivalent_registers$x'| A__questionmark_v1 A__questionmark_v2)) (|tptp.'equivalent_registers$av'| (|tptp.'register_pair$g'| A__questionmark_v0 A__questionmark_v1) (|tptp.'register_pair$a'| A__questionmark_v0 A__questionmark_v2)))))
% 1.08/1.31 (assume a272 (forall ((A__questionmark_v0 |tptp.'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'|) (A__questionmark_v1 |tptp.'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'|) (A__questionmark_v2 |tptp.'A_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'|)) (=> (and (|tptp.'compatible$'| A__questionmark_v0 A__questionmark_v1) (|tptp.'equivalent_registers$y'| A__questionmark_v1 A__questionmark_v2)) (|tptp.'equivalent_registers$aw'| (|tptp.'register_pair$a'| A__questionmark_v0 A__questionmark_v1) (|tptp.'register_pair$g'| A__questionmark_v0 A__questionmark_v2)))))
% 1.08/1.31 (assume a273 (forall ((A__questionmark_v0 |tptp.'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'|) (A__questionmark_v1 |tptp.'A_c_prod_b_complement_domain_ell2_a_c_prod_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'|) (A__questionmark_v2 |tptp.'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'|)) (=> (and (|tptp.'compatible$b'| A__questionmark_v0 A__questionmark_v1) (|tptp.'equivalent_registers$z'| A__questionmark_v1 A__questionmark_v2)) (|tptp.'equivalent_registers$ax'| (|tptp.'register_pair$'| A__questionmark_v0 A__questionmark_v1) (|tptp.'register_pair$a'| A__questionmark_v0 A__questionmark_v2)))))
% 1.08/1.31 (assume a274 (forall ((A__questionmark_v0 |tptp.'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'|) (A__questionmark_v1 |tptp.'A_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'|) (A__questionmark_v2 |tptp.'A_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'|)) (=> (and (|tptp.'compatible$c'| A__questionmark_v0 A__questionmark_v1) (|tptp.'equivalent_registers$m'| A__questionmark_v1 A__questionmark_v2)) (|tptp.'equivalent_registers$al'| (|tptp.'register_pair$g'| A__questionmark_v0 A__questionmark_v1) (|tptp.'register_pair$g'| A__questionmark_v0 A__questionmark_v2)))))
% 1.08/1.31 (assume a275 (forall ((A__questionmark_v0 |tptp.'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'|) (A__questionmark_v1 |tptp.'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'|) (A__questionmark_v2 |tptp.'A_c_prod_b_complement_domain_ell2_a_c_prod_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'|)) (=> (and (|tptp.'compatible$'| A__questionmark_v0 A__questionmark_v1) (|tptp.'equivalent_registers$aa'| A__questionmark_v1 A__questionmark_v2)) (|tptp.'equivalent_registers$ay'| (|tptp.'register_pair$a'| A__questionmark_v0 A__questionmark_v1) (|tptp.'register_pair$'| A__questionmark_v0 A__questionmark_v2)))))
% 1.08/1.31 (assume a276 (forall ((A__questionmark_v0 |tptp.'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'|) (A__questionmark_v1 |tptp.'A_c_prod_b_complement_domain_ell2_a_c_prod_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'|) (A__questionmark_v2 |tptp.'A_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'|)) (=> (and (|tptp.'compatible$b'| A__questionmark_v0 A__questionmark_v1) (|tptp.'equivalent_registers$g'| A__questionmark_v1 A__questionmark_v2)) (|tptp.'equivalent_registers$az'| (|tptp.'register_pair$'| A__questionmark_v0 A__questionmark_v1) (|tptp.'register_pair$g'| A__questionmark_v0 A__questionmark_v2)))))
% 1.08/1.31 (assume a277 (forall ((A__questionmark_v0 |tptp.'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'|) (A__questionmark_v1 |tptp.'A_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'|) (A__questionmark_v2 |tptp.'A_c_prod_b_complement_domain_ell2_a_c_prod_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'|)) (=> (and (|tptp.'compatible$c'| A__questionmark_v0 A__questionmark_v1) (|tptp.'equivalent_registers$k'| A__questionmark_v1 A__questionmark_v2)) (|tptp.'equivalent_registers$ba'| (|tptp.'register_pair$g'| A__questionmark_v0 A__questionmark_v1) (|tptp.'register_pair$'| A__questionmark_v0 A__questionmark_v2)))))
% 1.08/1.31 (assume a278 (forall ((A__questionmark_v0 |tptp.'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'|) (A__questionmark_v1 |tptp.'C_a_c_prod_b_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'|) (A__questionmark_v2 |tptp.'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'|)) (=> (and (|tptp.'compatible$d'| A__questionmark_v0 A__questionmark_v1) (|tptp.'equivalent_registers$ab'| A__questionmark_v1 A__questionmark_v2)) (|tptp.'equivalent_registers$bb'| (|tptp.'register_pair$i'| A__questionmark_v0 A__questionmark_v1) (|tptp.'register_pair$a'| A__questionmark_v0 A__questionmark_v2)))))
% 1.08/1.31 (assume a279 (forall ((A__questionmark_v0 |tptp.'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'|) (A__questionmark_v1 |tptp.'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'|) (A__questionmark_v2 |tptp.'C_a_c_prod_b_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'|)) (=> (and (|tptp.'compatible$'| A__questionmark_v0 A__questionmark_v1) (|tptp.'equivalent_registers$ac'| A__questionmark_v1 A__questionmark_v2)) (|tptp.'equivalent_registers$bc'| (|tptp.'register_pair$a'| A__questionmark_v0 A__questionmark_v1) (|tptp.'register_pair$i'| A__questionmark_v0 A__questionmark_v2)))))
% 1.08/1.31 (assume a280 (forall ((A__questionmark_v0 |tptp.'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'|) (A__questionmark_v1 |tptp.'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'|) (A__questionmark_v2 |tptp.'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'|)) (=> (and (|tptp.'compatible$ah'| A__questionmark_v0 A__questionmark_v1) (|tptp.'compatible$'| A__questionmark_v1 A__questionmark_v2) (|tptp.'compatible$'| A__questionmark_v0 A__questionmark_v2)) (= (|tptp.'comp$ao'| (|tptp.'register_pair$ao'| (|tptp.'register_pair$ap'| A__questionmark_v0 A__questionmark_v1) A__questionmark_v2) |tptp.'assoc$'|) (|tptp.'register_pair$an'| A__questionmark_v0 (|tptp.'register_pair$a'| A__questionmark_v1 A__questionmark_v2))))))
% 1.08/1.31 (assume a281 (forall ((A__questionmark_v0 |tptp.'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'|) (A__questionmark_v1 |tptp.'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'|) (A__questionmark_v2 |tptp.'A_c_prod_b_complement_domain_ell2_a_c_prod_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'|)) (=> (and (|tptp.'compatible$ab'| A__questionmark_v0 A__questionmark_v1) (|tptp.'compatible$b'| A__questionmark_v1 A__questionmark_v2) (|tptp.'compatible$p'| A__questionmark_v0 A__questionmark_v2)) (= (|tptp.'comp$ap'| (|tptp.'register_pair$aq'| (|tptp.'register_pair$ar'| A__questionmark_v0 A__questionmark_v1) A__questionmark_v2) |tptp.'assoc$a'|) (|tptp.'register_pair$d'| A__questionmark_v0 (|tptp.'register_pair$'| A__questionmark_v1 A__questionmark_v2))))))
% 1.08/1.31 (assume a282 (forall ((A__questionmark_v0 |tptp.'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'|) (A__questionmark_v1 |tptp.'A_c_prod_b_complement_domain_ell2_a_c_prod_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'|) (A__questionmark_v2 |tptp.'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'|)) (=> (and (|tptp.'compatible$b'| A__questionmark_v0 A__questionmark_v1) (|tptp.'compatible$ac'| A__questionmark_v1 A__questionmark_v2) (|tptp.'compatible$'| A__questionmark_v0 A__questionmark_v2)) (= (|tptp.'comp$aq'| (|tptp.'register_pair$ab'| (|tptp.'register_pair$'| A__questionmark_v0 A__questionmark_v1) A__questionmark_v2) |tptp.'assoc$b'|) (|tptp.'register_pair$z'| A__questionmark_v0 (|tptp.'register_pair$aa'| A__questionmark_v1 A__questionmark_v2))))))
% 1.08/1.31 (assume a283 (forall ((A__questionmark_v0 |tptp.'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'|) (A__questionmark_v1 |tptp.'A_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'|) (A__questionmark_v2 |tptp.'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'|)) (=> (and (|tptp.'compatible$c'| A__questionmark_v0 A__questionmark_v1) (|tptp.'compatible$ad'| A__questionmark_v1 A__questionmark_v2) (|tptp.'compatible$'| A__questionmark_v0 A__questionmark_v2)) (= (|tptp.'comp$ar'| (|tptp.'register_pair$ae'| (|tptp.'register_pair$g'| A__questionmark_v0 A__questionmark_v1) A__questionmark_v2) |tptp.'assoc$c'|) (|tptp.'register_pair$ac'| A__questionmark_v0 (|tptp.'register_pair$ad'| A__questionmark_v1 A__questionmark_v2))))))
% 1.08/1.31 (assume a284 (forall ((A__questionmark_v0 |tptp.'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'|) (A__questionmark_v1 |tptp.'C_a_c_prod_b_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'|) (A__questionmark_v2 |tptp.'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'|)) (=> (and (|tptp.'compatible$d'| A__questionmark_v0 A__questionmark_v1) (|tptp.'compatible$ae'| A__questionmark_v1 A__questionmark_v2) (|tptp.'compatible$'| A__questionmark_v0 A__questionmark_v2)) (= (|tptp.'comp$as'| (|tptp.'register_pair$ah'| (|tptp.'register_pair$i'| A__questionmark_v0 A__questionmark_v1) A__questionmark_v2) |tptp.'assoc$d'|) (|tptp.'register_pair$af'| A__questionmark_v0 (|tptp.'register_pair$ag'| A__questionmark_v1 A__questionmark_v2))))))
% 1.08/1.31 (assume a285 (forall ((A__questionmark_v0 |tptp.'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'|) (A__questionmark_v1 |tptp.'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'|) (A__questionmark_v2 |tptp.'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'|)) (=> (and (|tptp.'compatible$'| A__questionmark_v0 A__questionmark_v1) (|tptp.'compatible$af'| A__questionmark_v1 A__questionmark_v2) (|tptp.'compatible$'| A__questionmark_v0 A__questionmark_v2)) (= (|tptp.'comp$at'| (|tptp.'register_pair$ak'| (|tptp.'register_pair$a'| A__questionmark_v0 A__questionmark_v1) A__questionmark_v2) |tptp.'assoc$e'|) (|tptp.'register_pair$ai'| A__questionmark_v0 (|tptp.'register_pair$aj'| A__questionmark_v1 A__questionmark_v2))))))
% 1.08/1.31 (assume a286 (forall ((A__questionmark_v0 |tptp.'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'|) (A__questionmark_v1 |tptp.'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'|) (A__questionmark_v2 |tptp.'A_a_c_prod_b_complement_domain_prod_ell2_a_a_c_prod_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'|)) (=> (and (|tptp.'compatible$'| A__questionmark_v0 A__questionmark_v1) (|tptp.'compatible$a'| A__questionmark_v1 A__questionmark_v2) (|tptp.'compatible$ag'| A__questionmark_v0 A__questionmark_v2)) (= (|tptp.'comp$au'| (|tptp.'register_pair$am'| (|tptp.'register_pair$a'| A__questionmark_v0 A__questionmark_v1) A__questionmark_v2) |tptp.'assoc$f'|) (|tptp.'register_pair$al'| A__questionmark_v0 (|tptp.'register_pair$d'| A__questionmark_v1 A__questionmark_v2))))))
% 1.08/1.31 (assume a287 (forall ((A__questionmark_v0 |tptp.'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'|) (A__questionmark_v1 |tptp.'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'|) (A__questionmark_v2 |tptp.'A_c_prod_b_complement_domain_ell2_a_c_prod_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'|)) (=> (and (|tptp.'compatible$'| A__questionmark_v0 A__questionmark_v1) (|tptp.'compatible$p'| A__questionmark_v1 A__questionmark_v2) (|tptp.'compatible$b'| A__questionmark_v0 A__questionmark_v2)) (= (|tptp.'comp$av'| (|tptp.'register_pair$n'| (|tptp.'register_pair$a'| A__questionmark_v0 A__questionmark_v1) A__questionmark_v2) |tptp.'assoc$g'|) (|tptp.'register_pair$i'| A__questionmark_v0 (|tptp.'register_pair$b'| A__questionmark_v1 A__questionmark_v2))))))
% 1.08/1.31 (assume a288 (forall ((A__questionmark_v0 |tptp.'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'|) (A__questionmark_v1 |tptp.'A_c_prod_b_complement_domain_ell2_a_c_prod_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'|) (A__questionmark_v2 |tptp.'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'|)) (=> (and (|tptp.'compatible$b'| A__questionmark_v0 A__questionmark_v1) (|tptp.'compatible$ac'| A__questionmark_v1 A__questionmark_v2) (|tptp.'compatible$'| A__questionmark_v0 A__questionmark_v2)) (= (|tptp.'comp$aw'| (|tptp.'register_pair$z'| A__questionmark_v0 (|tptp.'register_pair$aa'| A__questionmark_v1 A__questionmark_v2)) |tptp.'assoc$h'|) (|tptp.'register_pair$ab'| (|tptp.'register_pair$'| A__questionmark_v0 A__questionmark_v1) A__questionmark_v2)))))
% 1.08/1.31 (assume a289 (forall ((A__questionmark_v0 |tptp.'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'|) (A__questionmark_v1 |tptp.'A_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'|) (A__questionmark_v2 |tptp.'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'|)) (=> (and (|tptp.'compatible$c'| A__questionmark_v0 A__questionmark_v1) (|tptp.'compatible$ad'| A__questionmark_v1 A__questionmark_v2) (|tptp.'compatible$'| A__questionmark_v0 A__questionmark_v2)) (= (|tptp.'comp$ax'| (|tptp.'register_pair$ac'| A__questionmark_v0 (|tptp.'register_pair$ad'| A__questionmark_v1 A__questionmark_v2)) |tptp.'assoc$i'|) (|tptp.'register_pair$ae'| (|tptp.'register_pair$g'| A__questionmark_v0 A__questionmark_v1) A__questionmark_v2)))))
% 1.08/1.31 (assume a290 (forall ((A__questionmark_v0 |tptp.'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'|) (A__questionmark_v1 |tptp.'C_a_c_prod_b_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'|) (A__questionmark_v2 |tptp.'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'|)) (=> (and (|tptp.'compatible$d'| A__questionmark_v0 A__questionmark_v1) (|tptp.'compatible$ae'| A__questionmark_v1 A__questionmark_v2) (|tptp.'compatible$'| A__questionmark_v0 A__questionmark_v2)) (= (|tptp.'comp$ay'| (|tptp.'register_pair$af'| A__questionmark_v0 (|tptp.'register_pair$ag'| A__questionmark_v1 A__questionmark_v2)) |tptp.'assoc$j'|) (|tptp.'register_pair$ah'| (|tptp.'register_pair$i'| A__questionmark_v0 A__questionmark_v1) A__questionmark_v2)))))
% 1.08/1.31 (assume a291 (forall ((A__questionmark_v0 |tptp.'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'|) (A__questionmark_v1 |tptp.'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'|) (A__questionmark_v2 |tptp.'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'|)) (=> (and (|tptp.'compatible$'| A__questionmark_v0 A__questionmark_v1) (|tptp.'compatible$af'| A__questionmark_v1 A__questionmark_v2) (|tptp.'compatible$'| A__questionmark_v0 A__questionmark_v2)) (= (|tptp.'comp$az'| (|tptp.'register_pair$ai'| A__questionmark_v0 (|tptp.'register_pair$aj'| A__questionmark_v1 A__questionmark_v2)) |tptp.'assoc$k'|) (|tptp.'register_pair$ak'| (|tptp.'register_pair$a'| A__questionmark_v0 A__questionmark_v1) A__questionmark_v2)))))
% 1.08/1.31 (assume a292 (forall ((A__questionmark_v0 |tptp.'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'|) (A__questionmark_v1 |tptp.'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'|) (A__questionmark_v2 |tptp.'A_a_c_prod_b_complement_domain_prod_ell2_a_a_c_prod_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'|)) (=> (and (|tptp.'compatible$'| A__questionmark_v0 A__questionmark_v1) (|tptp.'compatible$a'| A__questionmark_v1 A__questionmark_v2) (|tptp.'compatible$ag'| A__questionmark_v0 A__questionmark_v2)) (= (|tptp.'comp$ba'| (|tptp.'register_pair$al'| A__questionmark_v0 (|tptp.'register_pair$d'| A__questionmark_v1 A__questionmark_v2)) |tptp.'assoc$l'|) (|tptp.'register_pair$am'| (|tptp.'register_pair$a'| A__questionmark_v0 A__questionmark_v1) A__questionmark_v2)))))
% 1.08/1.31 (assume a293 (forall ((A__questionmark_v0 |tptp.'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'|) (A__questionmark_v1 |tptp.'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'|) (A__questionmark_v2 |tptp.'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'|)) (=> (and (|tptp.'compatible$ah'| A__questionmark_v0 A__questionmark_v1) (|tptp.'compatible$'| A__questionmark_v1 A__questionmark_v2) (|tptp.'compatible$'| A__questionmark_v0 A__questionmark_v2)) (= (|tptp.'comp$bb'| (|tptp.'register_pair$an'| A__questionmark_v0 (|tptp.'register_pair$a'| A__questionmark_v1 A__questionmark_v2)) |tptp.'assoc$m'|) (|tptp.'register_pair$ao'| (|tptp.'register_pair$ap'| A__questionmark_v0 A__questionmark_v1) A__questionmark_v2)))))
% 1.08/1.31 (assume a294 (forall ((A__questionmark_v0 |tptp.'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'|) (A__questionmark_v1 |tptp.'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'|) (A__questionmark_v2 |tptp.'A_c_prod_b_complement_domain_ell2_a_c_prod_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'|)) (=> (and (|tptp.'compatible$ab'| A__questionmark_v0 A__questionmark_v1) (|tptp.'compatible$b'| A__questionmark_v1 A__questionmark_v2) (|tptp.'compatible$p'| A__questionmark_v0 A__questionmark_v2)) (= (|tptp.'comp$bc'| (|tptp.'register_pair$d'| A__questionmark_v0 (|tptp.'register_pair$'| A__questionmark_v1 A__questionmark_v2)) |tptp.'assoc$n'|) (|tptp.'register_pair$aq'| (|tptp.'register_pair$ar'| A__questionmark_v0 A__questionmark_v1) A__questionmark_v2)))))
% 1.08/1.31 (assume a295 (forall ((A__questionmark_v0 |tptp.'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'|) (A__questionmark_v1 |tptp.'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'|) (A__questionmark_v2 |tptp.'A_c_prod_b_complement_domain_ell2_a_c_prod_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'|)) (=> (and (|tptp.'compatible$'| A__questionmark_v0 A__questionmark_v1) (|tptp.'compatible$p'| A__questionmark_v1 A__questionmark_v2) (|tptp.'compatible$b'| A__questionmark_v0 A__questionmark_v2)) (= (|tptp.'comp$bd'| (|tptp.'register_pair$i'| A__questionmark_v0 (|tptp.'register_pair$b'| A__questionmark_v1 A__questionmark_v2)) |tptp.'assoc$o'|) (|tptp.'register_pair$n'| (|tptp.'register_pair$a'| A__questionmark_v0 A__questionmark_v1) A__questionmark_v2)))))
% 1.08/1.31 (assume a296 (forall ((A__questionmark_v0 |tptp.'B_ell2_b_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'|) (A__questionmark_v1 |tptp.'B_ell2_b_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'|)) (=> (and (|tptp.'bij_betw$a'| A__questionmark_v0 |tptp.'top$a'| |tptp.'top$a'|) (|tptp.'bij_betw$a'| A__questionmark_v1 |tptp.'top$a'| |tptp.'top$a'|)) (|tptp.'bij_betw$a'| (|tptp.'comp$aa'| A__questionmark_v1 A__questionmark_v0) |tptp.'top$a'| |tptp.'top$a'|))))
% 1.08/1.31 (assume a297 (forall ((A__questionmark_v0 |tptp.'C_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'|) (A__questionmark_v1 |tptp.'B_ell2_b_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'|)) (=> (and (|tptp.'bij_betw$b'| A__questionmark_v0 |tptp.'top$c'| |tptp.'top$a'|) (|tptp.'bij_betw$a'| A__questionmark_v1 |tptp.'top$a'| |tptp.'top$a'|)) (|tptp.'bij_betw$b'| (|tptp.'comp$ae'| A__questionmark_v1 A__questionmark_v0) |tptp.'top$c'| |tptp.'top$a'|))))
% 1.08/1.31 (assume a298 (forall ((A__questionmark_v0 |tptp.'A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'|) (A__questionmark_v1 |tptp.'B_ell2_b_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'|)) (=> (and (|tptp.'bij_betw$d'| A__questionmark_v0 |tptp.'top$d'| |tptp.'top$a'|) (|tptp.'bij_betw$a'| A__questionmark_v1 |tptp.'top$a'| |tptp.'top$a'|)) (|tptp.'bij_betw$d'| (|tptp.'comp$r'| A__questionmark_v1 A__questionmark_v0) |tptp.'top$d'| |tptp.'top$a'|))))
% 1.08/1.31 (assume a299 (forall ((A__questionmark_v0 |tptp.'B_ell2_b_ell2_cblinfun_c_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_fun$'|) (A__questionmark_v1 |tptp.'C_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'|)) (=> (and (|tptp.'bij_betw$c'| A__questionmark_v0 |tptp.'top$a'| |tptp.'top$c'|) (|tptp.'bij_betw$b'| A__questionmark_v1 |tptp.'top$c'| |tptp.'top$a'|)) (|tptp.'bij_betw$a'| (|tptp.'comp$ab'| A__questionmark_v1 A__questionmark_v0) |tptp.'top$a'| |tptp.'top$a'|))))
% 1.08/1.31 (assume a300 (forall ((A__questionmark_v0 |tptp.'B_ell2_b_ell2_cblinfun_a_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_fun$'|) (A__questionmark_v1 |tptp.'A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'|)) (=> (and (|tptp.'bij_betw$e'| A__questionmark_v0 |tptp.'top$a'| |tptp.'top$d'|) (|tptp.'bij_betw$d'| A__questionmark_v1 |tptp.'top$d'| |tptp.'top$a'|)) (|tptp.'bij_betw$a'| (|tptp.'comp$ac'| A__questionmark_v1 A__questionmark_v0) |tptp.'top$a'| |tptp.'top$a'|))))
% 1.08/1.31 (assume a301 (forall ((A__questionmark_v0 |tptp.'B_ell2_b_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'|) (A__questionmark_v1 |tptp.'B_ell2_b_ell2_cblinfun_c_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_fun$'|)) (=> (and (|tptp.'bij_betw$a'| A__questionmark_v0 |tptp.'top$a'| |tptp.'top$a'|) (|tptp.'bij_betw$c'| A__questionmark_v1 |tptp.'top$a'| |tptp.'top$c'|)) (|tptp.'bij_betw$c'| (|tptp.'comp$ad'| A__questionmark_v1 A__questionmark_v0) |tptp.'top$a'| |tptp.'top$c'|))))
% 1.08/1.31 (assume a302 (forall ((A__questionmark_v0 |tptp.'B_ell2_b_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'|) (A__questionmark_v1 |tptp.'B_ell2_b_ell2_cblinfun_a_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_fun$'|)) (=> (and (|tptp.'bij_betw$a'| A__questionmark_v0 |tptp.'top$a'| |tptp.'top$a'|) (|tptp.'bij_betw$e'| A__questionmark_v1 |tptp.'top$a'| |tptp.'top$d'|)) (|tptp.'bij_betw$e'| (|tptp.'comp$af'| A__questionmark_v1 A__questionmark_v0) |tptp.'top$a'| |tptp.'top$d'|))))
% 1.08/1.31 (assume a303 (forall ((A__questionmark_v0 |tptp.'C_a_c_prod_b_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_ell2_cblinfun_a_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_fun$'|) (A__questionmark_v1 |tptp.'A_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'|)) (=> (and (|tptp.'bij_betw$i'| A__questionmark_v0 |tptp.'top$f'| |tptp.'top$e'|) (|tptp.'bij_betw$h'| A__questionmark_v1 |tptp.'top$e'| |tptp.'top$a'|)) (|tptp.'bij_betw$t'| (|tptp.'comp$'| A__questionmark_v1 A__questionmark_v0) |tptp.'top$f'| |tptp.'top$a'|))))
% 1.08/1.31 (assume a304 (forall ((A__questionmark_v0 |tptp.'A_c_prod_a_c_prod_b_complement_domain_prod_ell2_a_c_prod_a_c_prod_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'|) (A__questionmark_v1 |tptp.'B_ell2_b_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'|)) (=> (and (|tptp.'bij_betw$'| A__questionmark_v0 |tptp.'top$'| |tptp.'top$a'|) (|tptp.'bij_betw$a'| A__questionmark_v1 |tptp.'top$a'| |tptp.'top$a'|)) (|tptp.'bij_betw$'| (|tptp.'comp$be'| A__questionmark_v1 A__questionmark_v0) |tptp.'top$'| |tptp.'top$a'|))))
% 1.08/1.31 (assume a305 (forall ((A__questionmark_v0 |tptp.'C_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_c_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_fun$'|) (A__questionmark_v1 |tptp.'C_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'|)) (=> (and (|tptp.'bij_betw$k'| A__questionmark_v0 |tptp.'top$c'| |tptp.'top$c'|) (|tptp.'bij_betw$b'| A__questionmark_v1 |tptp.'top$c'| |tptp.'top$a'|)) (|tptp.'bij_betw$b'| (|tptp.'comp$bf'| A__questionmark_v1 A__questionmark_v0) |tptp.'top$c'| |tptp.'top$a'|))))
% 1.08/1.31 (assume a306 (forall ((A__questionmark_v0 |tptp.'B$'|) (A__questionmark_v1 |tptp.'B$'|)) (= (= (|tptp.'ket$'| A__questionmark_v0) (|tptp.'ket$'| A__questionmark_v1)) (= A__questionmark_v0 A__questionmark_v1))))
% 1.08/1.31 (assume a307 (forall ((A__questionmark_v0 |tptp.'A$'|) (A__questionmark_v1 |tptp.'A$'|)) (= (= (|tptp.'ket$a'| A__questionmark_v0) (|tptp.'ket$a'| A__questionmark_v1)) (= A__questionmark_v0 A__questionmark_v1))))
% 1.08/1.31 (assume a308 (forall ((A__questionmark_v0 |tptp.'C$'|) (A__questionmark_v1 |tptp.'C$'|)) (= (= (|tptp.'ket$b'| A__questionmark_v0) (|tptp.'ket$b'| A__questionmark_v1)) (= A__questionmark_v0 A__questionmark_v1))))
% 1.08/1.31 (assume a309 (forall ((A__questionmark_v0 |tptp.'C_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'|) (A__questionmark_v1 |tptp.'C_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'|)) (=> (and (|tptp.'iso_register$g'| A__questionmark_v0) (|tptp.'iso_register$g'| A__questionmark_v1)) (= (|tptp.'inv_into$v'| |tptp.'top$h'| (|tptp.'register_tensor$'| A__questionmark_v0 A__questionmark_v1)) (|tptp.'register_tensor$a'| (|tptp.'inv_into$d'| |tptp.'top$c'| A__questionmark_v0) (|tptp.'inv_into$d'| |tptp.'top$c'| A__questionmark_v1))))))
% 1.08/1.31 (assume a310 (forall ((A__questionmark_v0 |tptp.'C_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'|) (A__questionmark_v1 |tptp.'A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'|)) (=> (and (|tptp.'iso_register$g'| A__questionmark_v0) (|tptp.'iso_register$b'| A__questionmark_v1)) (= (|tptp.'inv_into$w'| |tptp.'top$i'| (|tptp.'register_tensor$b'| A__questionmark_v0 A__questionmark_v1)) (|tptp.'register_tensor$c'| (|tptp.'inv_into$d'| |tptp.'top$c'| A__questionmark_v0) (|tptp.'inv_into$f'| |tptp.'top$d'| A__questionmark_v1))))))
% 1.08/1.31 (assume a311 (forall ((A__questionmark_v0 |tptp.'A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'|) (A__questionmark_v1 |tptp.'C_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'|)) (=> (and (|tptp.'iso_register$b'| A__questionmark_v0) (|tptp.'iso_register$g'| A__questionmark_v1)) (= (|tptp.'inv_into$x'| |tptp.'top$j'| (|tptp.'register_tensor$d'| A__questionmark_v0 A__questionmark_v1)) (|tptp.'register_tensor$e'| (|tptp.'inv_into$f'| |tptp.'top$d'| A__questionmark_v0) (|tptp.'inv_into$d'| |tptp.'top$c'| A__questionmark_v1))))))
% 1.08/1.31 (assume a312 (forall ((A__questionmark_v0 |tptp.'A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'|) (A__questionmark_v1 |tptp.'A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'|)) (=> (and (|tptp.'iso_register$b'| A__questionmark_v0) (|tptp.'iso_register$b'| A__questionmark_v1)) (= (|tptp.'inv_into$y'| |tptp.'top$k'| (|tptp.'register_tensor$f'| A__questionmark_v0 A__questionmark_v1)) (|tptp.'register_tensor$g'| (|tptp.'inv_into$f'| |tptp.'top$d'| A__questionmark_v0) (|tptp.'inv_into$f'| |tptp.'top$d'| A__questionmark_v1))))))
% 1.08/1.31 (assume a313 (forall ((A__questionmark_v0 |tptp.'A_ell2_a_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$'|) (A__questionmark_v1 |tptp.'A_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_c_a_c_prod_b_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_ell2_cblinfun_fun$'|)) (=> (and (|tptp.'iso_register$z'| A__questionmark_v0) (|tptp.'iso_register$s'| A__questionmark_v1)) (= (|tptp.'inv_into$r'| |tptp.'top$d'| (|tptp.'register_tensor$h'| A__questionmark_v0 A__questionmark_v1)) (|tptp.'register_tensor$i'| (|tptp.'inv_into$z'| |tptp.'top$l'| A__questionmark_v0) (|tptp.'inv_into$i'| |tptp.'top$e'| A__questionmark_v1))))))
% 1.08/1.31 (assume a314 (forall ((A__questionmark_v0 |tptp.'A_ell2_a_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$'|) (A__questionmark_v1 |tptp.'C_a_c_prod_b_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_ell2_cblinfun_a_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_fun$'|)) (=> (and (|tptp.'iso_register$z'| A__questionmark_v0) (|tptp.'iso_register$'| A__questionmark_v1)) (= (|tptp.'inv_into$n'| |tptp.'top$g'| (|tptp.'register_tensor$i'| A__questionmark_v0 A__questionmark_v1)) (|tptp.'register_tensor$h'| (|tptp.'inv_into$z'| |tptp.'top$l'| A__questionmark_v0) (|tptp.'inv_into$k'| |tptp.'top$f'| A__questionmark_v1))))))
% 1.08/1.31 (assume a315 (forall ((A__questionmark_v0 |tptp.'C_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'|) (A__questionmark_v1 |tptp.'C_a_a_c_prod_b_complement_domain_prod_prod_ell2_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'|)) (=> (and (|tptp.'iso_register$g'| A__questionmark_v0) (|tptp.'iso_register$d'| A__questionmark_v1)) (= (|tptp.'inv_into$aa'| |tptp.'top$m'| (|tptp.'register_tensor$j'| A__questionmark_v0 A__questionmark_v1)) (|tptp.'register_tensor$k'| (|tptp.'inv_into$d'| |tptp.'top$c'| A__questionmark_v0) (|tptp.'inv_into$'| |tptp.'top$b'| A__questionmark_v1))))))
% 1.08/1.31 (assume a316 (forall ((A__questionmark_v0 |tptp.'C_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'|) (A__questionmark_v1 |tptp.'A_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'|)) (=> (and (|tptp.'iso_register$g'| A__questionmark_v0) (|tptp.'iso_register$e'| A__questionmark_v1)) (= (|tptp.'inv_into$ab'| |tptp.'top$n'| (|tptp.'register_tensor$l'| A__questionmark_v0 A__questionmark_v1)) (|tptp.'register_tensor$m'| (|tptp.'inv_into$d'| |tptp.'top$c'| A__questionmark_v0) (|tptp.'inv_into$o'| |tptp.'top$g'| A__questionmark_v1))))))
% 1.08/1.31 (assume a317 (forall ((A__questionmark_v0 |tptp.'C_a_a_c_prod_b_complement_domain_prod_prod_ell2_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'|) (A__questionmark_v1 |tptp.'C_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'|)) (=> (and (|tptp.'iso_register$d'| A__questionmark_v0) (|tptp.'iso_register$g'| A__questionmark_v1)) (= (|tptp.'inv_into$ac'| |tptp.'top$o'| (|tptp.'register_tensor$n'| A__questionmark_v0 A__questionmark_v1)) (|tptp.'register_tensor$o'| (|tptp.'inv_into$'| |tptp.'top$b'| A__questionmark_v0) (|tptp.'inv_into$d'| |tptp.'top$c'| A__questionmark_v1))))))
% 1.08/1.31 (assume a318 (forall ((A__questionmark_v0 |tptp.'C_a_a_c_prod_b_complement_domain_prod_prod_ell2_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'|) (A__questionmark_v1 |tptp.'A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'|)) (=> (and (|tptp.'iso_register$d'| A__questionmark_v0) (|tptp.'iso_register$b'| A__questionmark_v1)) (= (|tptp.'inv_into$ad'| |tptp.'top$p'| (|tptp.'register_tensor$p'| A__questionmark_v0 A__questionmark_v1)) (|tptp.'register_tensor$q'| (|tptp.'inv_into$'| |tptp.'top$b'| A__questionmark_v0) (|tptp.'inv_into$f'| |tptp.'top$d'| A__questionmark_v1))))))
% 1.08/1.31 (assume a319 (forall ((A__questionmark_v0 |tptp.'A_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'|) (A__questionmark_v1 |tptp.'C_a_c_prod_b_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_ell2_cblinfun_a_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_fun$'|) (A__questionmark_v2 |tptp.'C_a_c_prod_b_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_ell2_cblinfun$'|)) (= (|tptp.'fun_app$p'| (|tptp.'comp$'| A__questionmark_v0 A__questionmark_v1) A__questionmark_v2) (|tptp.'fun_app$q'| A__questionmark_v0 (|tptp.'fun_app$r'| A__questionmark_v1 A__questionmark_v2)))))
% 1.08/1.31 (assume a320 (forall ((A__questionmark_v0 |tptp.'A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_fun$'|) (A__questionmark_v1 |tptp.'B_ell2_b_ell2_cblinfun_a_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_fun$'|) (A__questionmark_v2 |tptp.'B_ell2_b_ell2_cblinfun$'|)) (= (|tptp.'fun_app$b'| (|tptp.'comp$a'| A__questionmark_v0 A__questionmark_v1) A__questionmark_v2) (|tptp.'fun_app$h'| A__questionmark_v0 (|tptp.'fun_app$f'| A__questionmark_v1 A__questionmark_v2)))))
% 1.08/1.31 (assume a321 (forall ((A__questionmark_v0 |tptp.'C_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun$'|)) (= (|tptp.'member$c'| A__questionmark_v0 |tptp.'top$c'|) true)))
% 1.08/1.31 (assume a322 (forall ((A__questionmark_v0 |tptp.'C_a_a_c_prod_b_complement_domain_prod_prod_ell2_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun$'|)) (= (|tptp.'member$d'| A__questionmark_v0 |tptp.'top$b'|) true)))
% 1.08/1.31 (assume a323 (forall ((A__questionmark_v0 |tptp.'A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun$'|)) (= (|tptp.'member$a'| A__questionmark_v0 |tptp.'top$d'|) true)))
% 1.08/1.31 (assume a324 (forall ((A__questionmark_v0 |tptp.'A_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun$'|)) (= (|tptp.'member$e'| A__questionmark_v0 |tptp.'top$g'|) true)))
% 1.08/1.31 (assume a325 (forall ((A__questionmark_v0 |tptp.'B_ell2_b_ell2_cblinfun$'|)) (= (|tptp.'member$'| A__questionmark_v0 |tptp.'top$a'|) true)))
% 1.08/1.31 (assume a326 (forall ((A__questionmark_v0 |tptp.'C_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun$'|)) (|tptp.'member$c'| A__questionmark_v0 |tptp.'top$c'|)))
% 1.08/1.31 (assume a327 (forall ((A__questionmark_v0 |tptp.'C_a_a_c_prod_b_complement_domain_prod_prod_ell2_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun$'|)) (|tptp.'member$d'| A__questionmark_v0 |tptp.'top$b'|)))
% 1.08/1.31 (assume a328 (forall ((A__questionmark_v0 |tptp.'A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun$'|)) (|tptp.'member$a'| A__questionmark_v0 |tptp.'top$d'|)))
% 1.08/1.31 (assume a329 (forall ((A__questionmark_v0 |tptp.'A_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun$'|)) (|tptp.'member$e'| A__questionmark_v0 |tptp.'top$g'|)))
% 1.08/1.31 (assume a330 (forall ((A__questionmark_v0 |tptp.'B_ell2_b_ell2_cblinfun$'|)) (|tptp.'member$'| A__questionmark_v0 |tptp.'top$a'|)))
% 1.08/1.31 (assume a331 (forall ((A__questionmark_v0 |tptp.'B_ell2_b_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'|)) (= (|tptp.'regular_register$b'| A__questionmark_v0) (and (|tptp.'register$j'| A__questionmark_v0) (exists ((A__questionmark_v1 |tptp.'B_b_complement_domain_ell2_b_b_complement_domain_ell2_cblinfun$'|)) (= (|tptp.'register_pair$as'| A__questionmark_v0 (|tptp.'complement$l'| A__questionmark_v0) (|tptp.'tensor_op$'| (|tptp.'butterfly$'| (|tptp.'ket$'| |tptp.'default$'|) (|tptp.'ket$'| |tptp.'default$'|)) A__questionmark_v1)) (|tptp.'butterfly$'| (|tptp.'ket$'| |tptp.'default$'|) (|tptp.'ket$'| |tptp.'default$'|))))))))
% 1.08/1.31 (assume a332 (forall ((A__questionmark_v0 |tptp.'B_ell2_b_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$'|)) (= (|tptp.'regular_register$c'| A__questionmark_v0) (and (|tptp.'register$r'| A__questionmark_v0) (exists ((A__questionmark_v1 |tptp.'B_a_complement_domain_ell2_b_a_complement_domain_ell2_cblinfun$'|)) (= (|tptp.'register_pair$at'| A__questionmark_v0 (|tptp.'complement$m'| A__questionmark_v0) (|tptp.'tensor_op$a'| (|tptp.'butterfly$'| (|tptp.'ket$'| |tptp.'default$'|) (|tptp.'ket$'| |tptp.'default$'|)) A__questionmark_v1)) (|tptp.'butterfly$a'| (|tptp.'ket$a'| |tptp.'default$a'|) (|tptp.'ket$a'| |tptp.'default$a'|))))))))
% 1.08/1.31 (assume a333 (forall ((A__questionmark_v0 |tptp.'B_ell2_b_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$'|)) (= (|tptp.'regular_register$d'| A__questionmark_v0) (and (|tptp.'register$s'| A__questionmark_v0) (exists ((A__questionmark_v1 |tptp.'B_c_complement_domain_ell2_b_c_complement_domain_ell2_cblinfun$'|)) (= (|tptp.'register_pair$au'| A__questionmark_v0 (|tptp.'complement$n'| A__questionmark_v0) (|tptp.'tensor_op$b'| (|tptp.'butterfly$'| (|tptp.'ket$'| |tptp.'default$'|) (|tptp.'ket$'| |tptp.'default$'|)) A__questionmark_v1)) (|tptp.'butterfly$b'| (|tptp.'ket$b'| |tptp.'default$b'|) (|tptp.'ket$b'| |tptp.'default$b'|))))))))
% 1.08/1.31 (assume a334 (forall ((A__questionmark_v0 |tptp.'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'|)) (= (|tptp.'regular_register$'| A__questionmark_v0) (and (|tptp.'register$a'| A__questionmark_v0) (exists ((A__questionmark_v1 |tptp.'A_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun$'|)) (= (|tptp.'fun_app$g'| (|tptp.'register_pair$g'| A__questionmark_v0 (|tptp.'complement$e'| A__questionmark_v0)) (|tptp.'tensor_op$c'| (|tptp.'butterfly$a'| (|tptp.'ket$a'| |tptp.'default$a'|) (|tptp.'ket$a'| |tptp.'default$a'|)) A__questionmark_v1)) (|tptp.'butterfly$'| (|tptp.'ket$'| |tptp.'default$'|) (|tptp.'ket$'| |tptp.'default$'|))))))))
% 1.08/1.31 (assume a335 (forall ((A__questionmark_v0 |tptp.'A_ell2_a_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$'|)) (= (|tptp.'regular_register$e'| A__questionmark_v0) (and (|tptp.'register$q'| A__questionmark_v0) (exists ((A__questionmark_v1 |tptp.'A_a_complement_domain_ell2_a_a_complement_domain_ell2_cblinfun$'|)) (= (|tptp.'register_pair$av'| A__questionmark_v0 (|tptp.'complement$o'| A__questionmark_v0) (|tptp.'tensor_op$d'| (|tptp.'butterfly$a'| (|tptp.'ket$a'| |tptp.'default$a'|) (|tptp.'ket$a'| |tptp.'default$a'|)) A__questionmark_v1)) (|tptp.'butterfly$a'| (|tptp.'ket$a'| |tptp.'default$a'|) (|tptp.'ket$a'| |tptp.'default$a'|))))))))
% 1.08/1.31 (assume a336 (forall ((A__questionmark_v0 |tptp.'A_ell2_a_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$'|)) (= (|tptp.'regular_register$f'| A__questionmark_v0) (and (|tptp.'register$t'| A__questionmark_v0) (exists ((A__questionmark_v1 |tptp.'A_c_complement_domain_ell2_a_c_complement_domain_ell2_cblinfun$'|)) (= (|tptp.'register_pair$aw'| A__questionmark_v0 (|tptp.'complement$p'| A__questionmark_v0) (|tptp.'tensor_op$e'| (|tptp.'butterfly$a'| (|tptp.'ket$a'| |tptp.'default$a'|) (|tptp.'ket$a'| |tptp.'default$a'|)) A__questionmark_v1)) (|tptp.'butterfly$b'| (|tptp.'ket$b'| |tptp.'default$b'|) (|tptp.'ket$b'| |tptp.'default$b'|))))))))
% 1.08/1.31 (assume a337 (forall ((A__questionmark_v0 |tptp.'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'|)) (= (|tptp.'regular_register$a'| A__questionmark_v0) (and (|tptp.'register$'| A__questionmark_v0) (exists ((A__questionmark_v1 |tptp.'C_b_complement_domain_ell2_c_b_complement_domain_ell2_cblinfun$'|)) (= (|tptp.'fun_app$d'| (|tptp.'register_pair$x'| A__questionmark_v0 (|tptp.'complement$f'| A__questionmark_v0)) (|tptp.'tensor_op$f'| (|tptp.'butterfly$b'| (|tptp.'ket$b'| |tptp.'default$b'|) (|tptp.'ket$b'| |tptp.'default$b'|)) A__questionmark_v1)) (|tptp.'butterfly$'| (|tptp.'ket$'| |tptp.'default$'|) (|tptp.'ket$'| |tptp.'default$'|))))))))
% 1.08/1.31 (assume a338 (forall ((A__questionmark_v0 |tptp.'C_ell2_c_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$'|)) (= (|tptp.'regular_register$g'| A__questionmark_v0) (and (|tptp.'register$u'| A__questionmark_v0) (exists ((A__questionmark_v1 |tptp.'C_a_complement_domain_ell2_c_a_complement_domain_ell2_cblinfun$'|)) (= (|tptp.'register_pair$ax'| A__questionmark_v0 (|tptp.'complement$q'| A__questionmark_v0) (|tptp.'tensor_op$g'| (|tptp.'butterfly$b'| (|tptp.'ket$b'| |tptp.'default$b'|) (|tptp.'ket$b'| |tptp.'default$b'|)) A__questionmark_v1)) (|tptp.'butterfly$a'| (|tptp.'ket$a'| |tptp.'default$a'|) (|tptp.'ket$a'| |tptp.'default$a'|))))))))
% 1.08/1.31 (assume a339 (forall ((A__questionmark_v0 |tptp.'C_ell2_c_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$'|)) (= (|tptp.'regular_register$h'| A__questionmark_v0) (and (|tptp.'register$p'| A__questionmark_v0) (exists ((A__questionmark_v1 |tptp.'C_c_complement_domain_ell2_c_c_complement_domain_ell2_cblinfun$'|)) (= (|tptp.'register_pair$ay'| A__questionmark_v0 (|tptp.'complement$r'| A__questionmark_v0) (|tptp.'tensor_op$h'| (|tptp.'butterfly$b'| (|tptp.'ket$b'| |tptp.'default$b'|) (|tptp.'ket$b'| |tptp.'default$b'|)) A__questionmark_v1)) (|tptp.'butterfly$b'| (|tptp.'ket$b'| |tptp.'default$b'|) (|tptp.'ket$b'| |tptp.'default$b'|))))))))
% 1.08/1.31 (assume a340 (forall ((A__questionmark_v0 |tptp.'A_c_prod_ell2_a_c_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'|)) (= (|tptp.'regular_register$i'| A__questionmark_v0) (and (|tptp.'register$g'| A__questionmark_v0) (exists ((A__questionmark_v1 |tptp.'A_c_prod_b_complement_domain_ell2_a_c_prod_b_complement_domain_ell2_cblinfun$'|)) (= (|tptp.'fun_app$k'| (|tptp.'register_pair$n'| A__questionmark_v0 (|tptp.'complement$'| A__questionmark_v0)) (|tptp.'tensor_op$i'| (|tptp.'butterfly$c'| (|tptp.'ket$c'| |tptp.'default$c'|) (|tptp.'ket$c'| |tptp.'default$c'|)) A__questionmark_v1)) (|tptp.'butterfly$'| (|tptp.'ket$'| |tptp.'default$'|) (|tptp.'ket$'| |tptp.'default$'|))))))))
% 1.08/1.31 (assume a341 (forall ((A__questionmark_v0 |tptp.'A_ell2_a_ell2_cblinfun$'|) (A__questionmark_v1 |tptp.'C_ell2_c_ell2_cblinfun$'|) (A__questionmark_v2 |tptp.'A_c_prod_b_complement_domain_ell2_a_c_prod_b_complement_domain_ell2_cblinfun$'|)) (= (|tptp.'fun_app$s'| |tptp.'assoc$g'| (|tptp.'tensor_op$j'| A__questionmark_v0 (|tptp.'tensor_op$k'| A__questionmark_v1 A__questionmark_v2))) (|tptp.'tensor_op$i'| (|tptp.'tensor_op$l'| A__questionmark_v0 A__questionmark_v1) A__questionmark_v2))))
% 1.08/1.31 (assume a342 (forall ((A__questionmark_v0 |tptp.'A_ell2_a_ell2_cblinfun$'|) (A__questionmark_v1 |tptp.'C_ell2_c_ell2_cblinfun$'|) (A__questionmark_v2 |tptp.'A_c_prod_b_complement_domain_ell2_a_c_prod_b_complement_domain_ell2_cblinfun$'|)) (= (|tptp.'fun_app$t'| |tptp.'assoc$o'| (|tptp.'tensor_op$i'| (|tptp.'tensor_op$l'| A__questionmark_v0 A__questionmark_v1) A__questionmark_v2)) (|tptp.'tensor_op$j'| A__questionmark_v0 (|tptp.'tensor_op$k'| A__questionmark_v1 A__questionmark_v2)))))
% 1.08/1.31 (assume a343 (=> (forall ((A__questionmark_v0 |tptp.'A_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun$'|)) (=> (= (|tptp.'fun_app$f'| (|tptp.'inv_into$f'| |tptp.'top$d'| (|tptp.'register_pair$g'| |tptp.'f$'| (|tptp.'complement$e'| |tptp.'f$'|))) (|tptp.'butterfly$'| (|tptp.'ket$'| |tptp.'default$'|) (|tptp.'ket$'| |tptp.'default$'|))) (|tptp.'tensor_op$c'| (|tptp.'butterfly$a'| (|tptp.'ket$a'| |tptp.'default$a'|) (|tptp.'ket$a'| |tptp.'default$a'|)) A__questionmark_v0)) false)) false))
% 1.08/1.31 (assume a344 (=> (forall ((A__questionmark_v0 |tptp.'C_b_complement_domain_ell2_c_b_complement_domain_ell2_cblinfun$'|)) (=> (= (|tptp.'fun_app$c'| (|tptp.'inv_into$d'| |tptp.'top$c'| (|tptp.'register_pair$x'| |tptp.'g$'| (|tptp.'complement$f'| |tptp.'g$'|))) (|tptp.'butterfly$'| (|tptp.'ket$'| |tptp.'default$'|) (|tptp.'ket$'| |tptp.'default$'|))) (|tptp.'tensor_op$f'| (|tptp.'butterfly$b'| (|tptp.'ket$b'| |tptp.'default$b'|) (|tptp.'ket$b'| |tptp.'default$b'|)) A__questionmark_v0)) false)) false))
% 1.08/1.31 (assume a345 (forall ((A__questionmark_v0 |tptp.'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'|) (A__questionmark_v1 |tptp.'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'|) (A__questionmark_v2 |tptp.'C_ell2_c_ell2_cblinfun$'|) (A__questionmark_v3 |tptp.'C_ell2_c_ell2_cblinfun$'|)) (=> (and (|tptp.'register$'| A__questionmark_v0) (|tptp.'register$'| A__questionmark_v1)) (= (|tptp.'fun_app$u'| (|tptp.'register_tensor$r'| A__questionmark_v0 A__questionmark_v1) (|tptp.'tensor_op$m'| A__questionmark_v2 A__questionmark_v3)) (|tptp.'tensor_op$n'| (|tptp.'fun_app$v'| A__questionmark_v0 A__questionmark_v2) (|tptp.'fun_app$v'| A__questionmark_v1 A__questionmark_v3))))))
% 1.08/1.31 (assume a346 (forall ((A__questionmark_v0 |tptp.'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'|) (A__questionmark_v1 |tptp.'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'|) (A__questionmark_v2 |tptp.'C_ell2_c_ell2_cblinfun$'|) (A__questionmark_v3 |tptp.'A_ell2_a_ell2_cblinfun$'|)) (=> (and (|tptp.'register$'| A__questionmark_v0) (|tptp.'register$a'| A__questionmark_v1)) (= (|tptp.'fun_app$w'| (|tptp.'register_tensor$s'| A__questionmark_v0 A__questionmark_v1) (|tptp.'tensor_op$o'| A__questionmark_v2 A__questionmark_v3)) (|tptp.'tensor_op$n'| (|tptp.'fun_app$v'| A__questionmark_v0 A__questionmark_v2) (|tptp.'fun_app$x'| A__questionmark_v1 A__questionmark_v3))))))
% 1.08/1.31 (assume a347 (forall ((A__questionmark_v0 |tptp.'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'|) (A__questionmark_v1 |tptp.'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'|) (A__questionmark_v2 |tptp.'A_ell2_a_ell2_cblinfun$'|) (A__questionmark_v3 |tptp.'C_ell2_c_ell2_cblinfun$'|)) (=> (and (|tptp.'register$a'| A__questionmark_v0) (|tptp.'register$'| A__questionmark_v1)) (= (|tptp.'fun_app$y'| (|tptp.'register_tensor$t'| A__questionmark_v0 A__questionmark_v1) (|tptp.'tensor_op$l'| A__questionmark_v2 A__questionmark_v3)) (|tptp.'tensor_op$n'| (|tptp.'fun_app$x'| A__questionmark_v0 A__questionmark_v2) (|tptp.'fun_app$v'| A__questionmark_v1 A__questionmark_v3))))))
% 1.08/1.31 (assume a348 (forall ((A__questionmark_v0 |tptp.'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'|) (A__questionmark_v1 |tptp.'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'|) (A__questionmark_v2 |tptp.'A_ell2_a_ell2_cblinfun$'|) (A__questionmark_v3 |tptp.'A_ell2_a_ell2_cblinfun$'|)) (=> (and (|tptp.'register$a'| A__questionmark_v0) (|tptp.'register$a'| A__questionmark_v1)) (= (|tptp.'fun_app$z'| (|tptp.'register_tensor$u'| A__questionmark_v0 A__questionmark_v1) (|tptp.'tensor_op$p'| A__questionmark_v2 A__questionmark_v3)) (|tptp.'tensor_op$n'| (|tptp.'fun_app$x'| A__questionmark_v0 A__questionmark_v2) (|tptp.'fun_app$x'| A__questionmark_v1 A__questionmark_v3))))))
% 1.08/1.31 (assume a349 (forall ((A__questionmark_v0 |tptp.'A_ell2_a_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$'|) (A__questionmark_v1 |tptp.'A_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_a_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_fun$'|) (A__questionmark_v2 |tptp.'A_ell2_a_ell2_cblinfun$'|) (A__questionmark_v3 |tptp.'A_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun$'|)) (=> (and (|tptp.'register$q'| A__questionmark_v0) (|tptp.'register$v'| A__questionmark_v1)) (= (|tptp.'fun_app$aa'| (|tptp.'register_tensor$v'| A__questionmark_v0 A__questionmark_v1) (|tptp.'tensor_op$c'| A__questionmark_v2 A__questionmark_v3)) (|tptp.'tensor_op$c'| (|tptp.'fun_app$ab'| A__questionmark_v0 A__questionmark_v2) (|tptp.'fun_app$ac'| A__questionmark_v1 A__questionmark_v3))))))
% 1.08/1.31 (assume a350 (forall ((A__questionmark_v0 |tptp.'A_ell2_a_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$'|) (A__questionmark_v1 |tptp.'A_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_c_b_complement_domain_ell2_c_b_complement_domain_ell2_cblinfun_fun$'|) (A__questionmark_v2 |tptp.'A_ell2_a_ell2_cblinfun$'|) (A__questionmark_v3 |tptp.'A_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun$'|)) (=> (and (|tptp.'register$t'| A__questionmark_v0) (|tptp.'register$w'| A__questionmark_v1)) (= (|tptp.'fun_app$n'| (|tptp.'register_tensor$w'| A__questionmark_v0 A__questionmark_v1) (|tptp.'tensor_op$c'| A__questionmark_v2 A__questionmark_v3)) (|tptp.'tensor_op$f'| (|tptp.'fun_app$ad'| A__questionmark_v0 A__questionmark_v2) (|tptp.'fun_app$ae'| A__questionmark_v1 A__questionmark_v3))))))
% 1.08/1.31 (assume a351 (forall ((A__questionmark_v0 |tptp.'C_ell2_c_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$'|) (A__questionmark_v1 |tptp.'C_b_complement_domain_ell2_c_b_complement_domain_ell2_cblinfun_a_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_fun$'|) (A__questionmark_v2 |tptp.'C_ell2_c_ell2_cblinfun$'|) (A__questionmark_v3 |tptp.'C_b_complement_domain_ell2_c_b_complement_domain_ell2_cblinfun$'|)) (=> (and (|tptp.'register$u'| A__questionmark_v0) (|tptp.'register$x'| A__questionmark_v1)) (= (|tptp.'fun_app$o'| (|tptp.'register_tensor$x'| A__questionmark_v0 A__questionmark_v1) (|tptp.'tensor_op$f'| A__questionmark_v2 A__questionmark_v3)) (|tptp.'tensor_op$c'| (|tptp.'fun_app$af'| A__questionmark_v0 A__questionmark_v2) (|tptp.'fun_app$ag'| A__questionmark_v1 A__questionmark_v3))))))
% 1.08/1.31 (assume a352 (forall ((A__questionmark_v0 |tptp.'C_ell2_c_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$'|) (A__questionmark_v1 |tptp.'C_b_complement_domain_ell2_c_b_complement_domain_ell2_cblinfun_c_b_complement_domain_ell2_c_b_complement_domain_ell2_cblinfun_fun$'|) (A__questionmark_v2 |tptp.'C_ell2_c_ell2_cblinfun$'|) (A__questionmark_v3 |tptp.'C_b_complement_domain_ell2_c_b_complement_domain_ell2_cblinfun$'|)) (=> (and (|tptp.'register$p'| A__questionmark_v0) (|tptp.'register$y'| A__questionmark_v1)) (= (|tptp.'fun_app$m'| (|tptp.'register_tensor$y'| A__questionmark_v0 A__questionmark_v1) (|tptp.'tensor_op$f'| A__questionmark_v2 A__questionmark_v3)) (|tptp.'tensor_op$f'| (|tptp.'fun_app$ah'| A__questionmark_v0 A__questionmark_v2) (|tptp.'fun_app$ai'| A__questionmark_v1 A__questionmark_v3))))))
% 1.08/1.31 (assume a353 (forall ((A__questionmark_v0 |tptp.'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'|) (A__questionmark_v1 |tptp.'C_a_c_prod_b_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_ell2_cblinfun_a_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_fun$'|) (A__questionmark_v2 |tptp.'C_ell2_c_ell2_cblinfun$'|) (A__questionmark_v3 |tptp.'C_a_c_prod_b_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_ell2_cblinfun$'|)) (=> (and (|tptp.'register$'| A__questionmark_v0) (|tptp.'register$e'| A__questionmark_v1)) (= (|tptp.'fun_app$aj'| (|tptp.'register_tensor$z'| A__questionmark_v0 A__questionmark_v1) (|tptp.'tensor_op$q'| A__questionmark_v2 A__questionmark_v3)) (|tptp.'tensor_op$r'| (|tptp.'fun_app$v'| A__questionmark_v0 A__questionmark_v2) (|tptp.'fun_app$r'| A__questionmark_v1 A__questionmark_v3))))))
% 1.08/1.31 (assume a354 (forall ((A__questionmark_v0 |tptp.'C_a_c_prod_b_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_ell2_cblinfun_a_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_fun$'|) (A__questionmark_v1 |tptp.'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'|) (A__questionmark_v2 |tptp.'C_a_c_prod_b_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_ell2_cblinfun$'|) (A__questionmark_v3 |tptp.'C_ell2_c_ell2_cblinfun$'|)) (=> (and (|tptp.'register$e'| A__questionmark_v0) (|tptp.'register$'| A__questionmark_v1)) (= (|tptp.'fun_app$ak'| (|tptp.'register_tensor$aa'| A__questionmark_v0 A__questionmark_v1) (|tptp.'tensor_op$s'| A__questionmark_v2 A__questionmark_v3)) (|tptp.'tensor_op$t'| (|tptp.'fun_app$r'| A__questionmark_v0 A__questionmark_v2) (|tptp.'fun_app$v'| A__questionmark_v1 A__questionmark_v3))))))
% 1.08/1.31 (assume a355 (= (|tptp.'inv_into$ae'| |tptp.'top$b'| |tptp.'assoc$a'|) |tptp.'assoc$n'|))
% 1.08/1.31 (assume a356 (= (|tptp.'inv_into$af'| |tptp.'top$g'| |tptp.'assoc$g'|) |tptp.'assoc$o'|))
% 1.08/1.31 (assume a357 (= |tptp.'top$c'| (|tptp.'collect$'| |tptp.'top$q'|)))
% 1.08/1.31 (assume a358 (= |tptp.'top$b'| (|tptp.'collect$a'| |tptp.'top$r'|)))
% 1.08/1.31 (assume a359 (= |tptp.'top$d'| (|tptp.'collect$b'| |tptp.'top$s'|)))
% 1.08/1.31 (assume a360 (= |tptp.'top$g'| (|tptp.'collect$c'| |tptp.'top$t'|)))
% 1.08/1.31 (assume a361 (= |tptp.'top$a'| (|tptp.'collect$d'| |tptp.'top$u'|)))
% 1.08/1.31 (assume a362 (forall ((A__questionmark_v0 |tptp.'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'|) (A__questionmark_v1 |tptp.'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'|)) (=> (and (|tptp.'register$a'| A__questionmark_v0) (|tptp.'register$a'| A__questionmark_v1)) (|tptp.'complements$u'| (|tptp.'register_tensor$u'| A__questionmark_v0 A__questionmark_v1) (|tptp.'register_tensor$ab'| (|tptp.'complement$e'| A__questionmark_v0) (|tptp.'complement$e'| A__questionmark_v1))))))
% 1.08/1.31 (assume a363 (forall ((A__questionmark_v0 |tptp.'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'|) (A__questionmark_v1 |tptp.'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'|)) (=> (and (|tptp.'register$a'| A__questionmark_v0) (|tptp.'register$'| A__questionmark_v1)) (|tptp.'complements$v'| (|tptp.'register_tensor$t'| A__questionmark_v0 A__questionmark_v1) (|tptp.'register_tensor$ac'| (|tptp.'complement$e'| A__questionmark_v0) (|tptp.'complement$f'| A__questionmark_v1))))))
% 1.08/1.31 (assume a364 (forall ((A__questionmark_v0 |tptp.'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'|) (A__questionmark_v1 |tptp.'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'|)) (=> (and (|tptp.'register$'| A__questionmark_v0) (|tptp.'register$a'| A__questionmark_v1)) (|tptp.'complements$w'| (|tptp.'register_tensor$s'| A__questionmark_v0 A__questionmark_v1) (|tptp.'register_tensor$ad'| (|tptp.'complement$f'| A__questionmark_v0) (|tptp.'complement$e'| A__questionmark_v1))))))
% 1.08/1.31 (assume a365 (forall ((A__questionmark_v0 |tptp.'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'|) (A__questionmark_v1 |tptp.'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'|)) (=> (and (|tptp.'register$'| A__questionmark_v0) (|tptp.'register$'| A__questionmark_v1)) (|tptp.'complements$x'| (|tptp.'register_tensor$r'| A__questionmark_v0 A__questionmark_v1) (|tptp.'register_tensor$ae'| (|tptp.'complement$f'| A__questionmark_v0) (|tptp.'complement$f'| A__questionmark_v1))))))
% 1.08/1.31 (assume a366 (forall ((A__questionmark_v0 |tptp.'A_c_prod_ell2_a_c_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'|) (A__questionmark_v1 |tptp.'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'|)) (=> (and (|tptp.'register$g'| A__questionmark_v0) (|tptp.'register$a'| A__questionmark_v1)) (|tptp.'complements$y'| (|tptp.'register_tensor$af'| A__questionmark_v0 A__questionmark_v1) (|tptp.'register_tensor$ag'| (|tptp.'complement$'| A__questionmark_v0) (|tptp.'complement$e'| A__questionmark_v1))))))
% 1.08/1.31 (assume a367 (forall ((A__questionmark_v0 |tptp.'A_c_prod_ell2_a_c_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'|) (A__questionmark_v1 |tptp.'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'|)) (=> (and (|tptp.'register$g'| A__questionmark_v0) (|tptp.'register$'| A__questionmark_v1)) (|tptp.'complements$z'| (|tptp.'register_tensor$ah'| A__questionmark_v0 A__questionmark_v1) (|tptp.'register_tensor$ai'| (|tptp.'complement$'| A__questionmark_v0) (|tptp.'complement$f'| A__questionmark_v1))))))
% 1.08/1.31 (assume a368 (forall ((A__questionmark_v0 |tptp.'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'|) (A__questionmark_v1 |tptp.'A_c_prod_ell2_a_c_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'|)) (=> (and (|tptp.'register$a'| A__questionmark_v0) (|tptp.'register$g'| A__questionmark_v1)) (|tptp.'complements$aa'| (|tptp.'register_tensor$aj'| A__questionmark_v0 A__questionmark_v1) (|tptp.'register_tensor$ak'| (|tptp.'complement$e'| A__questionmark_v0) (|tptp.'complement$'| A__questionmark_v1))))))
% 1.08/1.31 (assume a369 (forall ((A__questionmark_v0 |tptp.'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'|) (A__questionmark_v1 |tptp.'A_c_prod_ell2_a_c_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'|)) (=> (and (|tptp.'register$'| A__questionmark_v0) (|tptp.'register$g'| A__questionmark_v1)) (|tptp.'complements$ab'| (|tptp.'register_tensor$al'| A__questionmark_v0 A__questionmark_v1) (|tptp.'register_tensor$am'| (|tptp.'complement$f'| A__questionmark_v0) (|tptp.'complement$'| A__questionmark_v1))))))
% 1.08/1.31 (assume a370 (forall ((A__questionmark_v0 |tptp.'A_c_prod_ell2_a_c_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'|) (A__questionmark_v1 |tptp.'A_c_prod_ell2_a_c_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'|)) (=> (and (|tptp.'register$g'| A__questionmark_v0) (|tptp.'register$g'| A__questionmark_v1)) (|tptp.'complements$ac'| (|tptp.'register_tensor$an'| A__questionmark_v0 A__questionmark_v1) (|tptp.'register_tensor$ao'| (|tptp.'complement$'| A__questionmark_v0) (|tptp.'complement$'| A__questionmark_v1))))))
% 1.08/1.31 (assume a371 (forall ((A__questionmark_v0 |tptp.'A_ell2_a_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$'|) (A__questionmark_v1 |tptp.'C_a_c_prod_b_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_ell2_cblinfun_a_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_fun$'|)) (=> (and (|tptp.'register$q'| A__questionmark_v0) (|tptp.'register$e'| A__questionmark_v1)) (|tptp.'complements$ad'| (|tptp.'register_tensor$i'| A__questionmark_v0 A__questionmark_v1) (|tptp.'register_tensor$ap'| (|tptp.'complement$o'| A__questionmark_v0) (|tptp.'complement$j'| A__questionmark_v1))))))
% 1.08/1.31 (assume a372 (forall ((A__questionmark_v0 |tptp.'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'|) (A__questionmark_v1 |tptp.'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'|)) (=> (and (|tptp.'register$'| A__questionmark_v0) (|tptp.'register$'| A__questionmark_v1)) (|tptp.'register$z'| (|tptp.'register_tensor$r'| A__questionmark_v0 A__questionmark_v1)))))
% 1.08/1.31 (assume a373 (forall ((A__questionmark_v0 |tptp.'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'|) (A__questionmark_v1 |tptp.'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'|)) (=> (and (|tptp.'register$'| A__questionmark_v0) (|tptp.'register$a'| A__questionmark_v1)) (|tptp.'register$aa'| (|tptp.'register_tensor$s'| A__questionmark_v0 A__questionmark_v1)))))
% 1.08/1.31 (assume a374 (forall ((A__questionmark_v0 |tptp.'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'|) (A__questionmark_v1 |tptp.'C_a_c_prod_b_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_ell2_cblinfun_a_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_fun$'|)) (=> (and (|tptp.'register$'| A__questionmark_v0) (|tptp.'register$e'| A__questionmark_v1)) (|tptp.'register$ab'| (|tptp.'register_tensor$z'| A__questionmark_v0 A__questionmark_v1)))))
% 1.08/1.31 (assume a375 (forall ((A__questionmark_v0 |tptp.'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'|) (A__questionmark_v1 |tptp.'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'|)) (=> (and (|tptp.'register$a'| A__questionmark_v0) (|tptp.'register$'| A__questionmark_v1)) (|tptp.'register$ac'| (|tptp.'register_tensor$t'| A__questionmark_v0 A__questionmark_v1)))))
% 1.08/1.31 (assume a376 (forall ((A__questionmark_v0 |tptp.'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'|) (A__questionmark_v1 |tptp.'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'|)) (=> (and (|tptp.'register$a'| A__questionmark_v0) (|tptp.'register$a'| A__questionmark_v1)) (|tptp.'register$ad'| (|tptp.'register_tensor$u'| A__questionmark_v0 A__questionmark_v1)))))
% 1.08/1.31 (assume a377 (forall ((A__questionmark_v0 |tptp.'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'|) (A__questionmark_v1 |tptp.'C_a_c_prod_b_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_ell2_cblinfun_a_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_fun$'|)) (=> (and (|tptp.'register$a'| A__questionmark_v0) (|tptp.'register$e'| A__questionmark_v1)) (|tptp.'register$ae'| (|tptp.'register_tensor$aq'| A__questionmark_v0 A__questionmark_v1)))))
% 1.08/1.31 (assume a378 (forall ((A__questionmark_v0 |tptp.'C_a_c_prod_b_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_ell2_cblinfun_a_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_fun$'|) (A__questionmark_v1 |tptp.'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'|)) (=> (and (|tptp.'register$e'| A__questionmark_v0) (|tptp.'register$'| A__questionmark_v1)) (|tptp.'register$af'| (|tptp.'register_tensor$aa'| A__questionmark_v0 A__questionmark_v1)))))
% 1.08/1.31 (assume a379 (forall ((A__questionmark_v0 |tptp.'C_a_c_prod_b_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_ell2_cblinfun_a_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_fun$'|) (A__questionmark_v1 |tptp.'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'|)) (=> (and (|tptp.'register$e'| A__questionmark_v0) (|tptp.'register$a'| A__questionmark_v1)) (|tptp.'register$ag'| (|tptp.'register_tensor$ar'| A__questionmark_v0 A__questionmark_v1)))))
% 1.08/1.31 (assume a380 (forall ((A__questionmark_v0 |tptp.'C_a_c_prod_b_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_ell2_cblinfun_a_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_fun$'|) (A__questionmark_v1 |tptp.'C_a_c_prod_b_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_ell2_cblinfun_a_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_fun$'|)) (=> (and (|tptp.'register$e'| A__questionmark_v0) (|tptp.'register$e'| A__questionmark_v1)) (|tptp.'register$ah'| (|tptp.'register_tensor$as'| A__questionmark_v0 A__questionmark_v1)))))
% 1.08/1.31 (assume a381 (forall ((A__questionmark_v0 |tptp.'A_ell2_a_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$'|) (A__questionmark_v1 |tptp.'C_a_c_prod_b_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_ell2_cblinfun_a_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_fun$'|)) (=> (and (|tptp.'register$q'| A__questionmark_v0) (|tptp.'register$e'| A__questionmark_v1)) (|tptp.'register$ai'| (|tptp.'register_tensor$i'| A__questionmark_v0 A__questionmark_v1)))))
% 1.08/1.31 (assume a382 (forall ((A__questionmark_v0 |tptp.'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'|) (A__questionmark_v1 |tptp.'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'|) (A__questionmark_v2 |tptp.'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'|) (A__questionmark_v3 |tptp.'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'|)) (=> (and (|tptp.'compatible$'| A__questionmark_v0 A__questionmark_v1) (|tptp.'compatible$'| A__questionmark_v2 A__questionmark_v3)) (|tptp.'compatible$aw'| (|tptp.'register_tensor$u'| A__questionmark_v0 A__questionmark_v2) (|tptp.'register_tensor$r'| A__questionmark_v1 A__questionmark_v3)))))
% 1.08/1.31 (assume a383 (forall ((A__questionmark_v0 |tptp.'A_ell2_a_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$'|) (A__questionmark_v1 |tptp.'A_ell2_a_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$'|) (A__questionmark_v2 |tptp.'C_a_c_prod_b_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_ell2_cblinfun_a_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_fun$'|) (A__questionmark_v3 |tptp.'C_a_c_prod_b_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_ell2_cblinfun_a_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_fun$'|)) (=> (and (|tptp.'compatible$ax'| A__questionmark_v0 A__questionmark_v1) (|tptp.'compatible$ar'| A__questionmark_v2 A__questionmark_v3)) (|tptp.'compatible$ay'| (|tptp.'register_tensor$i'| A__questionmark_v0 A__questionmark_v2) (|tptp.'register_tensor$i'| A__questionmark_v1 A__questionmark_v3)))))
% 1.08/1.31 (assume a384 (forall ((A__questionmark_v0 |tptp.'C_a_c_prod_b_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_ell2_cblinfun_a_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_fun$'|) (A__questionmark_v1 |tptp.'C_a_c_prod_b_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_ell2_cblinfun_a_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_fun$'|)) (=> (and (|tptp.'iso_register$'| A__questionmark_v0) (|tptp.'iso_register$'| A__questionmark_v1)) (|tptp.'iso_register$aa'| (|tptp.'register_tensor$as'| A__questionmark_v0 A__questionmark_v1)))))
% 1.08/1.31 (assume a385 (forall ((A__questionmark_v0 |tptp.'A_ell2_a_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$'|) (A__questionmark_v1 |tptp.'C_a_c_prod_b_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_ell2_cblinfun_a_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_fun$'|)) (=> (and (|tptp.'iso_register$z'| A__questionmark_v0) (|tptp.'iso_register$'| A__questionmark_v1)) (|tptp.'iso_register$p'| (|tptp.'register_tensor$i'| A__questionmark_v0 A__questionmark_v1)))))
% 1.08/1.31 (assume a386 (forall ((A__questionmark_v0 |tptp.'C_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_set$'|)) (=> (forall ((A__questionmark_v1 |tptp.'C_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun$'|)) (|tptp.'member$c'| A__questionmark_v1 A__questionmark_v0)) (= |tptp.'top$c'| A__questionmark_v0))))
% 1.08/1.31 (assume a387 (forall ((A__questionmark_v0 |tptp.'C_a_a_c_prod_b_complement_domain_prod_prod_ell2_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_set$'|)) (=> (forall ((A__questionmark_v1 |tptp.'C_a_a_c_prod_b_complement_domain_prod_prod_ell2_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun$'|)) (|tptp.'member$d'| A__questionmark_v1 A__questionmark_v0)) (= |tptp.'top$b'| A__questionmark_v0))))
% 1.08/1.31 (assume a388 (forall ((A__questionmark_v0 |tptp.'A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_set$'|)) (=> (forall ((A__questionmark_v1 |tptp.'A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun$'|)) (|tptp.'member$a'| A__questionmark_v1 A__questionmark_v0)) (= |tptp.'top$d'| A__questionmark_v0))))
% 1.08/1.31 (assume a389 (forall ((A__questionmark_v0 |tptp.'A_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_set$'|)) (=> (forall ((A__questionmark_v1 |tptp.'A_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun$'|)) (|tptp.'member$e'| A__questionmark_v1 A__questionmark_v0)) (= |tptp.'top$g'| A__questionmark_v0))))
% 1.08/1.31 (assume a390 (forall ((A__questionmark_v0 |tptp.'B_ell2_b_ell2_cblinfun_set$'|)) (=> (forall ((A__questionmark_v1 |tptp.'B_ell2_b_ell2_cblinfun$'|)) (|tptp.'member$'| A__questionmark_v1 A__questionmark_v0)) (= |tptp.'top$a'| A__questionmark_v0))))
% 1.08/1.31 (assume a391 (exists ((A__questionmark_v0 |tptp.'C_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun$'|)) (|tptp.'member$c'| A__questionmark_v0 |tptp.'top$c'|)))
% 1.08/1.31 (assume a392 (exists ((A__questionmark_v0 |tptp.'C_a_a_c_prod_b_complement_domain_prod_prod_ell2_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun$'|)) (|tptp.'member$d'| A__questionmark_v0 |tptp.'top$b'|)))
% 1.08/1.31 (assume a393 (exists ((A__questionmark_v0 |tptp.'A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun$'|)) (|tptp.'member$a'| A__questionmark_v0 |tptp.'top$d'|)))
% 1.08/1.31 (assume a394 (exists ((A__questionmark_v0 |tptp.'A_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun$'|)) (|tptp.'member$e'| A__questionmark_v0 |tptp.'top$g'|)))
% 1.08/1.31 (assume a395 (exists ((A__questionmark_v0 |tptp.'B_ell2_b_ell2_cblinfun$'|)) (|tptp.'member$'| A__questionmark_v0 |tptp.'top$a'|)))
% 1.08/1.31 (assume a396 (forall ((A__questionmark_v0 |tptp.'A_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'|) (A__questionmark_v1 |tptp.'C_a_c_prod_b_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_ell2_cblinfun_a_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_fun$'|) (A__questionmark_v2 |tptp.'C_a_c_prod_b_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_ell2_cblinfun$'|)) (= (|tptp.'fun_app$p'| (|tptp.'comp$'| A__questionmark_v0 A__questionmark_v1) A__questionmark_v2) (|tptp.'fun_app$q'| A__questionmark_v0 (|tptp.'fun_app$r'| A__questionmark_v1 A__questionmark_v2)))))
% 1.08/1.31 (assume a397 (forall ((A__questionmark_v0 |tptp.'A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_fun$'|) (A__questionmark_v1 |tptp.'B_ell2_b_ell2_cblinfun_a_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_fun$'|) (A__questionmark_v2 |tptp.'B_ell2_b_ell2_cblinfun$'|)) (= (|tptp.'fun_app$b'| (|tptp.'comp$a'| A__questionmark_v0 A__questionmark_v1) A__questionmark_v2) (|tptp.'fun_app$h'| A__questionmark_v0 (|tptp.'fun_app$f'| A__questionmark_v1 A__questionmark_v2)))))
% 1.08/1.31 (assume a398 (forall ((A__questionmark_v0 |tptp.'A_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'|) (A__questionmark_v1 |tptp.'C_a_c_prod_b_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_ell2_cblinfun_a_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_fun$'|) (A__questionmark_v2 |tptp.'C_a_c_prod_b_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_ell2_cblinfun_c_a_c_prod_b_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_ell2_cblinfun_fun$'|)) (= (|tptp.'comp$bg'| (|tptp.'comp$'| A__questionmark_v0 A__questionmark_v1) A__questionmark_v2) (|tptp.'comp$'| A__questionmark_v0 (|tptp.'comp$an'| A__questionmark_v1 A__questionmark_v2)))))
% 1.08/1.31 (assume a399 (forall ((A__questionmark_v0 |tptp.'A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_fun$'|) (A__questionmark_v1 |tptp.'B_ell2_b_ell2_cblinfun_a_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_fun$'|) (A__questionmark_v2 |tptp.'B_ell2_b_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'|)) (= (|tptp.'comp$bh'| (|tptp.'comp$a'| A__questionmark_v0 A__questionmark_v1) A__questionmark_v2) (|tptp.'comp$a'| A__questionmark_v0 (|tptp.'comp$af'| A__questionmark_v1 A__questionmark_v2)))))
% 1.08/1.31 (assume a400 (forall ((A__questionmark_v0 |tptp.'B_ell2_b_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'|) (A__questionmark_v1 |tptp.'A_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'|) (A__questionmark_v2 |tptp.'C_a_c_prod_b_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_ell2_cblinfun_a_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_fun$'|)) (= (|tptp.'comp$'| (|tptp.'comp$q'| A__questionmark_v0 A__questionmark_v1) A__questionmark_v2) (|tptp.'comp$al'| A__questionmark_v0 (|tptp.'comp$'| A__questionmark_v1 A__questionmark_v2)))))
% 1.08/1.31 (assume a401 (forall ((A__questionmark_v0 |tptp.'A_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'|) (A__questionmark_v1 |tptp.'A_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_a_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_fun$'|) (A__questionmark_v2 |tptp.'C_a_c_prod_b_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_ell2_cblinfun_a_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_fun$'|)) (= (|tptp.'comp$'| (|tptp.'comp$ai'| A__questionmark_v0 A__questionmark_v1) A__questionmark_v2) (|tptp.'comp$'| A__questionmark_v0 (|tptp.'comp$am'| A__questionmark_v1 A__questionmark_v2)))))
% 1.08/1.31 (assume a402 (forall ((A__questionmark_v0 |tptp.'A_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_fun$'|) (A__questionmark_v1 |tptp.'A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_fun$'|) (A__questionmark_v2 |tptp.'B_ell2_b_ell2_cblinfun_a_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_fun$'|)) (= (|tptp.'comp$a'| (|tptp.'comp$bi'| A__questionmark_v0 A__questionmark_v1) A__questionmark_v2) (|tptp.'comp$bj'| A__questionmark_v0 (|tptp.'comp$a'| A__questionmark_v1 A__questionmark_v2)))))
% 1.08/1.31 (assume a403 (forall ((A__questionmark_v0 |tptp.'A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_fun$'|) (A__questionmark_v1 |tptp.'A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_a_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_fun$'|) (A__questionmark_v2 |tptp.'B_ell2_b_ell2_cblinfun_a_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_fun$'|)) (= (|tptp.'comp$a'| (|tptp.'comp$bk'| A__questionmark_v0 A__questionmark_v1) A__questionmark_v2) (|tptp.'comp$a'| A__questionmark_v0 (|tptp.'comp$bl'| A__questionmark_v1 A__questionmark_v2)))))
% 1.08/1.31 (assume a404 (forall ((A__questionmark_v0 |tptp.'A_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'|) (A__questionmark_v1 |tptp.'C_a_c_prod_b_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_ell2_cblinfun_a_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_fun$'|) (A__questionmark_v2 |tptp.'A_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'|) (A__questionmark_v3 |tptp.'C_a_c_prod_b_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_ell2_cblinfun_a_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_fun$'|) (A__questionmark_v4 |tptp.'C_a_c_prod_b_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_ell2_cblinfun$'|)) (=> (= (|tptp.'comp$'| A__questionmark_v0 A__questionmark_v1) (|tptp.'comp$'| A__questionmark_v2 A__questionmark_v3)) (= (|tptp.'fun_app$q'| A__questionmark_v0 (|tptp.'fun_app$r'| A__questionmark_v1 A__questionmark_v4)) (|tptp.'fun_app$q'| A__questionmark_v2 (|tptp.'fun_app$r'| A__questionmark_v3 A__questionmark_v4))))))
% 1.08/1.31 (assume a405 (forall ((A__questionmark_v0 |tptp.'A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_fun$'|) (A__questionmark_v1 |tptp.'B_ell2_b_ell2_cblinfun_a_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_fun$'|) (A__questionmark_v2 |tptp.'A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_fun$'|) (A__questionmark_v3 |tptp.'B_ell2_b_ell2_cblinfun_a_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_fun$'|) (A__questionmark_v4 |tptp.'B_ell2_b_ell2_cblinfun$'|)) (=> (= (|tptp.'comp$a'| A__questionmark_v0 A__questionmark_v1) (|tptp.'comp$a'| A__questionmark_v2 A__questionmark_v3)) (= (|tptp.'fun_app$h'| A__questionmark_v0 (|tptp.'fun_app$f'| A__questionmark_v1 A__questionmark_v4)) (|tptp.'fun_app$h'| A__questionmark_v2 (|tptp.'fun_app$f'| A__questionmark_v3 A__questionmark_v4))))))
% 1.08/1.31 (assume a406 (forall ((A__questionmark_v0 |tptp.'A_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'|) (A__questionmark_v1 |tptp.'C_a_c_prod_b_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_ell2_cblinfun_a_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_fun$'|) (A__questionmark_v2 |tptp.'A_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'|) (A__questionmark_v3 |tptp.'C_a_c_prod_b_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_ell2_cblinfun_a_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_fun$'|)) (=> (and (= (|tptp.'comp$'| A__questionmark_v0 A__questionmark_v1) (|tptp.'comp$'| A__questionmark_v2 A__questionmark_v3)) (=> (forall ((A__questionmark_v4 |tptp.'C_a_c_prod_b_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_ell2_cblinfun$'|)) (= (|tptp.'fun_app$q'| A__questionmark_v0 (|tptp.'fun_app$r'| A__questionmark_v1 A__questionmark_v4)) (|tptp.'fun_app$q'| A__questionmark_v2 (|tptp.'fun_app$r'| A__questionmark_v3 A__questionmark_v4)))) false)) false)))
% 1.08/1.31 (assume a407 (forall ((A__questionmark_v0 |tptp.'A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_fun$'|) (A__questionmark_v1 |tptp.'B_ell2_b_ell2_cblinfun_a_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_fun$'|) (A__questionmark_v2 |tptp.'A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_fun$'|) (A__questionmark_v3 |tptp.'B_ell2_b_ell2_cblinfun_a_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_fun$'|)) (=> (and (= (|tptp.'comp$a'| A__questionmark_v0 A__questionmark_v1) (|tptp.'comp$a'| A__questionmark_v2 A__questionmark_v3)) (=> (forall ((A__questionmark_v4 |tptp.'B_ell2_b_ell2_cblinfun$'|)) (= (|tptp.'fun_app$h'| A__questionmark_v0 (|tptp.'fun_app$f'| A__questionmark_v1 A__questionmark_v4)) (|tptp.'fun_app$h'| A__questionmark_v2 (|tptp.'fun_app$f'| A__questionmark_v3 A__questionmark_v4)))) false)) false)))
% 1.08/1.31 (assume a408 (forall ((A__questionmark_v0 |tptp.'A_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'|) (A__questionmark_v1 |tptp.'C_a_c_prod_b_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_ell2_cblinfun_a_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_fun$'|) (A__questionmark_v2 |tptp.'C_a_c_prod_b_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'|) (A__questionmark_v3 |tptp.'C_a_c_prod_b_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_ell2_cblinfun$'|)) (=> (= (|tptp.'comp$'| A__questionmark_v0 A__questionmark_v1) A__questionmark_v2) (= (|tptp.'fun_app$q'| A__questionmark_v0 (|tptp.'fun_app$r'| A__questionmark_v1 A__questionmark_v3)) (|tptp.'fun_app$p'| A__questionmark_v2 A__questionmark_v3)))))
% 1.08/1.31 (assume a409 (forall ((A__questionmark_v0 |tptp.'A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_fun$'|) (A__questionmark_v1 |tptp.'B_ell2_b_ell2_cblinfun_a_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_fun$'|) (A__questionmark_v2 |tptp.'B_ell2_b_ell2_cblinfun_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_fun$'|) (A__questionmark_v3 |tptp.'B_ell2_b_ell2_cblinfun$'|)) (=> (= (|tptp.'comp$a'| A__questionmark_v0 A__questionmark_v1) A__questionmark_v2) (= (|tptp.'fun_app$h'| A__questionmark_v0 (|tptp.'fun_app$f'| A__questionmark_v1 A__questionmark_v3)) (|tptp.'fun_app$b'| A__questionmark_v2 A__questionmark_v3)))))
% 1.08/1.31 (assume a410 (forall ((A__questionmark_v0 |tptp.'A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_fun$'|) (A__questionmark_v1 |tptp.'A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_fun$'|) (A__questionmark_v2 |tptp.'B_ell2_b_ell2_cblinfun_a_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_fun$'|) (A__questionmark_v3 |tptp.'B_ell2_b_ell2_cblinfun_a_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_fun$'|)) (=> (and (|tptp.'register$b'| A__questionmark_v0) (|tptp.'register$b'| A__questionmark_v1) (|tptp.'register$c'| A__questionmark_v2) (|tptp.'register$c'| A__questionmark_v3)) (= (|tptp.'comp$bm'| (|tptp.'register_tensor$at'| A__questionmark_v0 A__questionmark_v1) (|tptp.'register_tensor$g'| A__questionmark_v2 A__questionmark_v3)) (|tptp.'register_tensor$au'| (|tptp.'comp$a'| A__questionmark_v0 A__questionmark_v2) (|tptp.'comp$a'| A__questionmark_v1 A__questionmark_v3))))))
% 1.08/1.31 (assume a411 (forall ((A__questionmark_v0 |tptp.'A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_fun$'|) (A__questionmark_v1 |tptp.'A_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'|) (A__questionmark_v2 |tptp.'B_ell2_b_ell2_cblinfun_a_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_fun$'|) (A__questionmark_v3 |tptp.'C_a_c_prod_b_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_ell2_cblinfun_a_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_fun$'|)) (=> (and (|tptp.'register$b'| A__questionmark_v0) (|tptp.'register$d'| A__questionmark_v1) (|tptp.'register$c'| A__questionmark_v2) (|tptp.'register$e'| A__questionmark_v3)) (= (|tptp.'comp$bn'| (|tptp.'register_tensor$av'| A__questionmark_v0 A__questionmark_v1) (|tptp.'register_tensor$aw'| A__questionmark_v2 A__questionmark_v3)) (|tptp.'register_tensor$ax'| (|tptp.'comp$a'| A__questionmark_v0 A__questionmark_v2) (|tptp.'comp$'| A__questionmark_v1 A__questionmark_v3))))))
% 1.08/1.31 (assume a412 (forall ((A__questionmark_v0 |tptp.'A_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'|) (A__questionmark_v1 |tptp.'A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_fun$'|) (A__questionmark_v2 |tptp.'C_a_c_prod_b_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_ell2_cblinfun_a_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_fun$'|) (A__questionmark_v3 |tptp.'B_ell2_b_ell2_cblinfun_a_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_fun$'|)) (=> (and (|tptp.'register$d'| A__questionmark_v0) (|tptp.'register$b'| A__questionmark_v1) (|tptp.'register$e'| A__questionmark_v2) (|tptp.'register$c'| A__questionmark_v3)) (= (|tptp.'comp$bo'| (|tptp.'register_tensor$ay'| A__questionmark_v0 A__questionmark_v1) (|tptp.'register_tensor$az'| A__questionmark_v2 A__questionmark_v3)) (|tptp.'register_tensor$ba'| (|tptp.'comp$'| A__questionmark_v0 A__questionmark_v2) (|tptp.'comp$a'| A__questionmark_v1 A__questionmark_v3))))))
% 1.08/1.31 (assume a413 (forall ((A__questionmark_v0 |tptp.'A_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'|) (A__questionmark_v1 |tptp.'A_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'|) (A__questionmark_v2 |tptp.'C_a_c_prod_b_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_ell2_cblinfun_a_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_fun$'|) (A__questionmark_v3 |tptp.'C_a_c_prod_b_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_ell2_cblinfun_a_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_fun$'|)) (=> (and (|tptp.'register$d'| A__questionmark_v0) (|tptp.'register$d'| A__questionmark_v1) (|tptp.'register$e'| A__questionmark_v2) (|tptp.'register$e'| A__questionmark_v3)) (= (|tptp.'comp$bp'| (|tptp.'register_tensor$ab'| A__questionmark_v0 A__questionmark_v1) (|tptp.'register_tensor$as'| A__questionmark_v2 A__questionmark_v3)) (|tptp.'register_tensor$bb'| (|tptp.'comp$'| A__questionmark_v0 A__questionmark_v2) (|tptp.'comp$'| A__questionmark_v1 A__questionmark_v3))))))
% 1.08/1.31 (assume a414 (forall ((A__questionmark_v0 |tptp.'B_ell2_b_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$'|) (A__questionmark_v1 |tptp.'A_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_a_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_fun$'|) (A__questionmark_v2 |tptp.'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'|) (A__questionmark_v3 |tptp.'C_a_c_prod_b_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_ell2_cblinfun_a_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_fun$'|)) (=> (and (|tptp.'register$r'| A__questionmark_v0) (|tptp.'register$v'| A__questionmark_v1) (|tptp.'register$a'| A__questionmark_v2) (|tptp.'register$e'| A__questionmark_v3)) (= (|tptp.'comp$bq'| (|tptp.'register_tensor$bc'| A__questionmark_v0 A__questionmark_v1) (|tptp.'register_tensor$aq'| A__questionmark_v2 A__questionmark_v3)) (|tptp.'register_tensor$i'| (|tptp.'comp$br'| A__questionmark_v0 A__questionmark_v2) (|tptp.'comp$am'| A__questionmark_v1 A__questionmark_v3))))))
% 1.08/1.31 (assume a415 (forall ((A__questionmark_v0 |tptp.'B_ell2_b_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$'|) (A__questionmark_v1 |tptp.'C_a_c_prod_b_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_ell2_cblinfun_a_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_fun$'|) (A__questionmark_v2 |tptp.'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'|) (A__questionmark_v3 |tptp.'C_a_c_prod_b_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_ell2_cblinfun_c_a_c_prod_b_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_ell2_cblinfun_fun$'|)) (=> (and (|tptp.'register$r'| A__questionmark_v0) (|tptp.'register$e'| A__questionmark_v1) (|tptp.'register$a'| A__questionmark_v2) (|tptp.'register$aj'| A__questionmark_v3)) (= (|tptp.'comp$bs'| (|tptp.'register_tensor$bd'| A__questionmark_v0 A__questionmark_v1) (|tptp.'register_tensor$be'| A__questionmark_v2 A__questionmark_v3)) (|tptp.'register_tensor$i'| (|tptp.'comp$br'| A__questionmark_v0 A__questionmark_v2) (|tptp.'comp$an'| A__questionmark_v1 A__questionmark_v3))))))
% 1.08/1.31 (assume a416 (forall ((A__questionmark_v0 |tptp.'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'|) (A__questionmark_v1 |tptp.'A_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'|) (A__questionmark_v2 |tptp.'A_ell2_a_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$'|) (A__questionmark_v3 |tptp.'C_a_c_prod_b_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_ell2_cblinfun_a_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_fun$'|)) (=> (and (|tptp.'register$a'| A__questionmark_v0) (|tptp.'register$d'| A__questionmark_v1) (|tptp.'register$q'| A__questionmark_v2) (|tptp.'register$e'| A__questionmark_v3)) (= (|tptp.'comp$bt'| (|tptp.'register_tensor$bf'| A__questionmark_v0 A__questionmark_v1) (|tptp.'register_tensor$i'| A__questionmark_v2 A__questionmark_v3)) (|tptp.'register_tensor$bg'| (|tptp.'comp$g'| A__questionmark_v0 A__questionmark_v2) (|tptp.'comp$'| A__questionmark_v1 A__questionmark_v3))))))
% 1.08/1.31 (assume a417 (forall ((A__questionmark_v0 |tptp.'A_ell2_a_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$'|) (A__questionmark_v1 |tptp.'A_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_a_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_fun$'|) (A__questionmark_v2 |tptp.'A_ell2_a_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$'|) (A__questionmark_v3 |tptp.'C_a_c_prod_b_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_ell2_cblinfun_a_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_fun$'|)) (=> (and (|tptp.'register$q'| A__questionmark_v0) (|tptp.'register$v'| A__questionmark_v1) (|tptp.'register$q'| A__questionmark_v2) (|tptp.'register$e'| A__questionmark_v3)) (= (|tptp.'comp$bu'| (|tptp.'register_tensor$v'| A__questionmark_v0 A__questionmark_v1) (|tptp.'register_tensor$i'| A__questionmark_v2 A__questionmark_v3)) (|tptp.'register_tensor$i'| (|tptp.'comp$bv'| A__questionmark_v0 A__questionmark_v2) (|tptp.'comp$am'| A__questionmark_v1 A__questionmark_v3))))))
% 1.08/1.31 (assume a418 (forall ((A__questionmark_v0 |tptp.'A_ell2_a_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$'|) (A__questionmark_v1 |tptp.'C_a_c_prod_b_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_ell2_cblinfun_a_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_fun$'|) (A__questionmark_v2 |tptp.'A_ell2_a_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$'|) (A__questionmark_v3 |tptp.'C_a_c_prod_b_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_ell2_cblinfun_c_a_c_prod_b_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_ell2_cblinfun_fun$'|)) (=> (and (|tptp.'register$q'| A__questionmark_v0) (|tptp.'register$e'| A__questionmark_v1) (|tptp.'register$q'| A__questionmark_v2) (|tptp.'register$aj'| A__questionmark_v3)) (= (|tptp.'comp$bw'| (|tptp.'register_tensor$i'| A__questionmark_v0 A__questionmark_v1) (|tptp.'register_tensor$bh'| A__questionmark_v2 A__questionmark_v3)) (|tptp.'register_tensor$i'| (|tptp.'comp$bv'| A__questionmark_v0 A__questionmark_v2) (|tptp.'comp$an'| A__questionmark_v1 A__questionmark_v3))))))
% 1.08/1.31 (assume a419 (forall ((A__questionmark_v0 |tptp.'A_c_prod_a_c_prod_b_complement_domain_prod_ell2_a_c_prod_a_c_prod_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'|) (A__questionmark_v1 |tptp.'A_c_prod_a_c_prod_b_complement_domain_prod_ell2_a_c_prod_a_c_prod_b_complement_domain_prod_ell2_cblinfun_set$'|) (A__questionmark_v2 |tptp.'B_ell2_b_ell2_cblinfun_set$'|)) (=> (|tptp.'bij_betw$'| A__questionmark_v0 A__questionmark_v1 A__questionmark_v2) (forall ((A__questionmark_v3 |tptp.'A_c_prod_a_c_prod_b_complement_domain_prod_ell2_a_c_prod_a_c_prod_b_complement_domain_prod_ell2_cblinfun$'|)) (=> (|tptp.'member$b'| A__questionmark_v3 A__questionmark_v1) (|tptp.'member$'| (|tptp.'fun_app$k'| A__questionmark_v0 A__questionmark_v3) A__questionmark_v2))))))
% 1.08/1.31 (assume a420 (forall ((A__questionmark_v0 |tptp.'C_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'|) (A__questionmark_v1 |tptp.'C_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_set$'|) (A__questionmark_v2 |tptp.'B_ell2_b_ell2_cblinfun_set$'|)) (=> (|tptp.'bij_betw$b'| A__questionmark_v0 A__questionmark_v1 A__questionmark_v2) (forall ((A__questionmark_v3 |tptp.'C_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun$'|)) (=> (|tptp.'member$c'| A__questionmark_v3 A__questionmark_v1) (|tptp.'member$'| (|tptp.'fun_app$d'| A__questionmark_v0 A__questionmark_v3) A__questionmark_v2))))))
% 1.08/1.31 (assume a421 (forall ((A__questionmark_v0 |tptp.'A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'|) (A__questionmark_v1 |tptp.'A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_set$'|) (A__questionmark_v2 |tptp.'B_ell2_b_ell2_cblinfun_set$'|)) (=> (|tptp.'bij_betw$d'| A__questionmark_v0 A__questionmark_v1 A__questionmark_v2) (forall ((A__questionmark_v3 |tptp.'A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun$'|)) (=> (|tptp.'member$a'| A__questionmark_v3 A__questionmark_v1) (|tptp.'member$'| (|tptp.'fun_app$g'| A__questionmark_v0 A__questionmark_v3) A__questionmark_v2))))))
% 1.08/1.31 (assume a422 (forall ((A__questionmark_v0 |tptp.'B_ell2_b_ell2_cblinfun_a_c_prod_a_c_prod_b_complement_domain_prod_ell2_a_c_prod_a_c_prod_b_complement_domain_prod_ell2_cblinfun_fun$'|) (A__questionmark_v1 |tptp.'B_ell2_b_ell2_cblinfun_set$'|) (A__questionmark_v2 |tptp.'A_c_prod_a_c_prod_b_complement_domain_prod_ell2_a_c_prod_a_c_prod_b_complement_domain_prod_ell2_cblinfun_set$'|)) (=> (|tptp.'bij_betw$j'| A__questionmark_v0 A__questionmark_v1 A__questionmark_v2) (exists ((A__questionmark_v3 |tptp.'A_c_prod_a_c_prod_b_complement_domain_prod_ell2_a_c_prod_a_c_prod_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'|)) (|tptp.'bij_betw$'| A__questionmark_v3 A__questionmark_v2 A__questionmark_v1)))))
% 1.08/1.31 (assume a423 (forall ((A__questionmark_v0 |tptp.'B_ell2_b_ell2_cblinfun_c_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_fun$'|) (A__questionmark_v1 |tptp.'B_ell2_b_ell2_cblinfun_set$'|) (A__questionmark_v2 |tptp.'C_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_set$'|)) (=> (|tptp.'bij_betw$c'| A__questionmark_v0 A__questionmark_v1 A__questionmark_v2) (exists ((A__questionmark_v3 |tptp.'C_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'|)) (|tptp.'bij_betw$b'| A__questionmark_v3 A__questionmark_v2 A__questionmark_v1)))))
% 1.08/1.31 (assume a424 (forall ((A__questionmark_v0 |tptp.'B_ell2_b_ell2_cblinfun_a_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_fun$'|) (A__questionmark_v1 |tptp.'B_ell2_b_ell2_cblinfun_set$'|) (A__questionmark_v2 |tptp.'A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_set$'|)) (=> (|tptp.'bij_betw$e'| A__questionmark_v0 A__questionmark_v1 A__questionmark_v2) (exists ((A__questionmark_v3 |tptp.'A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'|)) (|tptp.'bij_betw$d'| A__questionmark_v3 A__questionmark_v2 A__questionmark_v1)))))
% 1.08/1.31 (assume a425 (forall ((A__questionmark_v0 |tptp.'A_c_prod_a_c_prod_b_complement_domain_prod_ell2_a_c_prod_a_c_prod_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'|) (A__questionmark_v1 |tptp.'A_c_prod_a_c_prod_b_complement_domain_prod_ell2_a_c_prod_a_c_prod_b_complement_domain_prod_ell2_cblinfun_set$'|) (A__questionmark_v2 |tptp.'B_ell2_b_ell2_cblinfun_set$'|)) (=> (|tptp.'bij_betw$'| A__questionmark_v0 A__questionmark_v1 A__questionmark_v2) (exists ((A__questionmark_v3 |tptp.'B_ell2_b_ell2_cblinfun_a_c_prod_a_c_prod_b_complement_domain_prod_ell2_a_c_prod_a_c_prod_b_complement_domain_prod_ell2_cblinfun_fun$'|)) (|tptp.'bij_betw$j'| A__questionmark_v3 A__questionmark_v2 A__questionmark_v1)))))
% 1.08/1.31 (assume a426 (forall ((A__questionmark_v0 |tptp.'C_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'|) (A__questionmark_v1 |tptp.'C_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_set$'|) (A__questionmark_v2 |tptp.'B_ell2_b_ell2_cblinfun_set$'|)) (=> (|tptp.'bij_betw$b'| A__questionmark_v0 A__questionmark_v1 A__questionmark_v2) (exists ((A__questionmark_v3 |tptp.'B_ell2_b_ell2_cblinfun_c_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_fun$'|)) (|tptp.'bij_betw$c'| A__questionmark_v3 A__questionmark_v2 A__questionmark_v1)))))
% 1.08/1.31 (assume a427 (forall ((A__questionmark_v0 |tptp.'A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'|) (A__questionmark_v1 |tptp.'A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_set$'|) (A__questionmark_v2 |tptp.'B_ell2_b_ell2_cblinfun_set$'|)) (=> (|tptp.'bij_betw$d'| A__questionmark_v0 A__questionmark_v1 A__questionmark_v2) (exists ((A__questionmark_v3 |tptp.'B_ell2_b_ell2_cblinfun_a_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_fun$'|)) (|tptp.'bij_betw$e'| A__questionmark_v3 A__questionmark_v2 A__questionmark_v1)))))
% 1.08/1.31 (assume a428 (forall ((A__questionmark_v0 |tptp.'A_c_prod_a_c_prod_b_complement_domain_prod_ell2_a_c_prod_a_c_prod_b_complement_domain_prod_ell2_cblinfun_set$'|) (A__questionmark_v1 |tptp.'A_c_prod_a_c_prod_b_complement_domain_prod_ell2_a_c_prod_a_c_prod_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'|) (A__questionmark_v2 |tptp.'A_c_prod_a_c_prod_b_complement_domain_prod_ell2_a_c_prod_a_c_prod_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'|) (A__questionmark_v3 |tptp.'B_ell2_b_ell2_cblinfun_set$'|)) (=> (forall ((A__questionmark_v4 |tptp.'A_c_prod_a_c_prod_b_complement_domain_prod_ell2_a_c_prod_a_c_prod_b_complement_domain_prod_ell2_cblinfun$'|)) (=> (|tptp.'member$b'| A__questionmark_v4 A__questionmark_v0) (= (|tptp.'fun_app$k'| A__questionmark_v1 A__questionmark_v4) (|tptp.'fun_app$k'| A__questionmark_v2 A__questionmark_v4)))) (= (|tptp.'bij_betw$'| A__questionmark_v1 A__questionmark_v0 A__questionmark_v3) (|tptp.'bij_betw$'| A__questionmark_v2 A__questionmark_v0 A__questionmark_v3)))))
% 1.08/1.31 (assume a429 (forall ((A__questionmark_v0 |tptp.'C_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_set$'|) (A__questionmark_v1 |tptp.'C_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'|) (A__questionmark_v2 |tptp.'C_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'|) (A__questionmark_v3 |tptp.'B_ell2_b_ell2_cblinfun_set$'|)) (=> (forall ((A__questionmark_v4 |tptp.'C_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun$'|)) (=> (|tptp.'member$c'| A__questionmark_v4 A__questionmark_v0) (= (|tptp.'fun_app$d'| A__questionmark_v1 A__questionmark_v4) (|tptp.'fun_app$d'| A__questionmark_v2 A__questionmark_v4)))) (= (|tptp.'bij_betw$b'| A__questionmark_v1 A__questionmark_v0 A__questionmark_v3) (|tptp.'bij_betw$b'| A__questionmark_v2 A__questionmark_v0 A__questionmark_v3)))))
% 1.08/1.31 (assume a430 (forall ((A__questionmark_v0 |tptp.'A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_set$'|) (A__questionmark_v1 |tptp.'A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'|) (A__questionmark_v2 |tptp.'A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'|) (A__questionmark_v3 |tptp.'B_ell2_b_ell2_cblinfun_set$'|)) (=> (forall ((A__questionmark_v4 |tptp.'A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun$'|)) (=> (|tptp.'member$a'| A__questionmark_v4 A__questionmark_v0) (= (|tptp.'fun_app$g'| A__questionmark_v1 A__questionmark_v4) (|tptp.'fun_app$g'| A__questionmark_v2 A__questionmark_v4)))) (= (|tptp.'bij_betw$d'| A__questionmark_v1 A__questionmark_v0 A__questionmark_v3) (|tptp.'bij_betw$d'| A__questionmark_v2 A__questionmark_v0 A__questionmark_v3)))))
% 1.08/1.31 (assume a431 (forall ((A__questionmark_v0 |tptp.'A_c_prod_a_c_prod_b_complement_domain_prod_ell2_a_c_prod_a_c_prod_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'|) (A__questionmark_v1 |tptp.'A_c_prod_a_c_prod_b_complement_domain_prod_ell2_a_c_prod_a_c_prod_b_complement_domain_prod_ell2_cblinfun_set$'|) (A__questionmark_v2 |tptp.'B_ell2_b_ell2_cblinfun_set$'|) (A__questionmark_v3 |tptp.'A_c_prod_a_c_prod_b_complement_domain_prod_ell2_a_c_prod_a_c_prod_b_complement_domain_prod_ell2_cblinfun$'|)) (=> (and (|tptp.'bij_betw$'| A__questionmark_v0 A__questionmark_v1 A__questionmark_v2) (|tptp.'member$b'| A__questionmark_v3 A__questionmark_v1)) (|tptp.'member$'| (|tptp.'fun_app$k'| A__questionmark_v0 A__questionmark_v3) A__questionmark_v2))))
% 1.08/1.31 (assume a432 (forall ((A__questionmark_v0 |tptp.'C_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'|) (A__questionmark_v1 |tptp.'C_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_set$'|) (A__questionmark_v2 |tptp.'B_ell2_b_ell2_cblinfun_set$'|) (A__questionmark_v3 |tptp.'C_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun$'|)) (=> (and (|tptp.'bij_betw$b'| A__questionmark_v0 A__questionmark_v1 A__questionmark_v2) (|tptp.'member$c'| A__questionmark_v3 A__questionmark_v1)) (|tptp.'member$'| (|tptp.'fun_app$d'| A__questionmark_v0 A__questionmark_v3) A__questionmark_v2))))
% 1.08/1.31 (assume a433 (forall ((A__questionmark_v0 |tptp.'A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'|) (A__questionmark_v1 |tptp.'A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_set$'|) (A__questionmark_v2 |tptp.'B_ell2_b_ell2_cblinfun_set$'|) (A__questionmark_v3 |tptp.'A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun$'|)) (=> (and (|tptp.'bij_betw$d'| A__questionmark_v0 A__questionmark_v1 A__questionmark_v2) (|tptp.'member$a'| A__questionmark_v3 A__questionmark_v1)) (|tptp.'member$'| (|tptp.'fun_app$g'| A__questionmark_v0 A__questionmark_v3) A__questionmark_v2))))
% 1.08/1.31 (assume a434 (forall ((A__questionmark_v0 |tptp.'A_c_prod_a_c_prod_b_complement_domain_prod_ell2_a_c_prod_a_c_prod_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'|) (A__questionmark_v1 |tptp.'A_c_prod_a_c_prod_b_complement_domain_prod_ell2_a_c_prod_a_c_prod_b_complement_domain_prod_ell2_cblinfun_set$'|) (A__questionmark_v2 |tptp.'B_ell2_b_ell2_cblinfun_set$'|)) (= (|tptp.'bij_betw$'| A__questionmark_v0 A__questionmark_v1 A__questionmark_v2) (exists ((A__questionmark_v3 |tptp.'B_ell2_b_ell2_cblinfun_a_c_prod_a_c_prod_b_complement_domain_prod_ell2_a_c_prod_a_c_prod_b_complement_domain_prod_ell2_cblinfun_fun$'|)) (and (forall ((A__questionmark_v4 |tptp.'A_c_prod_a_c_prod_b_complement_domain_prod_ell2_a_c_prod_a_c_prod_b_complement_domain_prod_ell2_cblinfun$'|)) (=> (|tptp.'member$b'| A__questionmark_v4 A__questionmark_v1) (and (|tptp.'member$'| (|tptp.'fun_app$k'| A__questionmark_v0 A__questionmark_v4) A__questionmark_v2) (= (|tptp.'fun_app$a'| A__questionmark_v3 (|tptp.'fun_app$k'| A__questionmark_v0 A__questionmark_v4)) A__questionmark_v4)))) (forall ((A__questionmark_v4 |tptp.'B_ell2_b_ell2_cblinfun$'|)) (=> (|tptp.'member$'| A__questionmark_v4 A__questionmark_v2) (and (|tptp.'member$b'| (|tptp.'fun_app$a'| A__questionmark_v3 A__questionmark_v4) A__questionmark_v1) (= (|tptp.'fun_app$k'| A__questionmark_v0 (|tptp.'fun_app$a'| A__questionmark_v3 A__questionmark_v4)) A__questionmark_v4)))))))))
% 1.08/1.31 (assume a435 (forall ((A__questionmark_v0 |tptp.'C_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'|) (A__questionmark_v1 |tptp.'C_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_set$'|) (A__questionmark_v2 |tptp.'B_ell2_b_ell2_cblinfun_set$'|)) (= (|tptp.'bij_betw$b'| A__questionmark_v0 A__questionmark_v1 A__questionmark_v2) (exists ((A__questionmark_v3 |tptp.'B_ell2_b_ell2_cblinfun_c_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_fun$'|)) (and (forall ((A__questionmark_v4 |tptp.'C_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun$'|)) (=> (|tptp.'member$c'| A__questionmark_v4 A__questionmark_v1) (and (|tptp.'member$'| (|tptp.'fun_app$d'| A__questionmark_v0 A__questionmark_v4) A__questionmark_v2) (= (|tptp.'fun_app$c'| A__questionmark_v3 (|tptp.'fun_app$d'| A__questionmark_v0 A__questionmark_v4)) A__questionmark_v4)))) (forall ((A__questionmark_v4 |tptp.'B_ell2_b_ell2_cblinfun$'|)) (=> (|tptp.'member$'| A__questionmark_v4 A__questionmark_v2) (and (|tptp.'member$c'| (|tptp.'fun_app$c'| A__questionmark_v3 A__questionmark_v4) A__questionmark_v1) (= (|tptp.'fun_app$d'| A__questionmark_v0 (|tptp.'fun_app$c'| A__questionmark_v3 A__questionmark_v4)) A__questionmark_v4)))))))))
% 1.08/1.31 (assume a436 (forall ((A__questionmark_v0 |tptp.'A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'|) (A__questionmark_v1 |tptp.'A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_set$'|) (A__questionmark_v2 |tptp.'B_ell2_b_ell2_cblinfun_set$'|)) (= (|tptp.'bij_betw$d'| A__questionmark_v0 A__questionmark_v1 A__questionmark_v2) (exists ((A__questionmark_v3 |tptp.'B_ell2_b_ell2_cblinfun_a_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_fun$'|)) (and (forall ((A__questionmark_v4 |tptp.'A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun$'|)) (=> (|tptp.'member$a'| A__questionmark_v4 A__questionmark_v1) (and (|tptp.'member$'| (|tptp.'fun_app$g'| A__questionmark_v0 A__questionmark_v4) A__questionmark_v2) (= (|tptp.'fun_app$f'| A__questionmark_v3 (|tptp.'fun_app$g'| A__questionmark_v0 A__questionmark_v4)) A__questionmark_v4)))) (forall ((A__questionmark_v4 |tptp.'B_ell2_b_ell2_cblinfun$'|)) (=> (|tptp.'member$'| A__questionmark_v4 A__questionmark_v2) (and (|tptp.'member$a'| (|tptp.'fun_app$f'| A__questionmark_v3 A__questionmark_v4) A__questionmark_v1) (= (|tptp.'fun_app$g'| A__questionmark_v0 (|tptp.'fun_app$f'| A__questionmark_v3 A__questionmark_v4)) A__questionmark_v4)))))))))
% 1.08/1.31 (assume a437 (forall ((A__questionmark_v0 |tptp.'B_ell2_b_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'|) (A__questionmark_v1 |tptp.'B_ell2_b_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'|) (A__questionmark_v2 |tptp.'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'|) (A__questionmark_v3 |tptp.'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'|)) (=> (and (|tptp.'compatible$az'| A__questionmark_v0 A__questionmark_v1) (|tptp.'register$a'| A__questionmark_v2) (|tptp.'register$'| A__questionmark_v3)) (= (|tptp.'comp$bx'| (|tptp.'register_pair$az'| A__questionmark_v0 A__questionmark_v1) (|tptp.'register_tensor$t'| A__questionmark_v2 A__questionmark_v3)) (|tptp.'register_pair$a'| (|tptp.'comp$j'| A__questionmark_v0 A__questionmark_v2) (|tptp.'comp$k'| A__questionmark_v1 A__questionmark_v3))))))
% 1.08/1.31 (assume a438 (forall ((A__questionmark_v0 |tptp.'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'|) (A__questionmark_v1 |tptp.'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'|) (A__questionmark_v2 |tptp.'A_ell2_a_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$'|) (A__questionmark_v3 |tptp.'C_ell2_c_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$'|)) (=> (and (|tptp.'compatible$'| A__questionmark_v0 A__questionmark_v1) (|tptp.'register$q'| A__questionmark_v2) (|tptp.'register$p'| A__questionmark_v3)) (= (|tptp.'comp$by'| (|tptp.'register_pair$a'| A__questionmark_v0 A__questionmark_v1) (|tptp.'register_tensor$bi'| A__questionmark_v2 A__questionmark_v3)) (|tptp.'register_pair$a'| (|tptp.'comp$g'| A__questionmark_v0 A__questionmark_v2) (|tptp.'comp$e'| A__questionmark_v1 A__questionmark_v3))))))
% 1.08/1.31 (assume a439 (forall ((A__questionmark_v0 |tptp.'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'|) (A__questionmark_v1 |tptp.'A_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'|) (A__questionmark_v2 |tptp.'A_ell2_a_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$'|) (A__questionmark_v3 |tptp.'C_ell2_c_ell2_cblinfun_a_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_fun$'|)) (=> (and (|tptp.'compatible$c'| A__questionmark_v0 A__questionmark_v1) (|tptp.'register$q'| A__questionmark_v2) (|tptp.'register$ak'| A__questionmark_v3)) (= (|tptp.'comp$bz'| (|tptp.'register_pair$g'| A__questionmark_v0 A__questionmark_v1) (|tptp.'register_tensor$bj'| A__questionmark_v2 A__questionmark_v3)) (|tptp.'register_pair$a'| (|tptp.'comp$g'| A__questionmark_v0 A__questionmark_v2) (|tptp.'comp$y'| A__questionmark_v1 A__questionmark_v3))))))
% 1.08/1.31 (assume a440 (forall ((A__questionmark_v0 |tptp.'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'|) (A__questionmark_v1 |tptp.'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'|) (A__questionmark_v2 |tptp.'A_ell2_a_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$'|) (A__questionmark_v3 |tptp.'A_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$'|)) (=> (and (|tptp.'compatible$'| A__questionmark_v0 A__questionmark_v1) (|tptp.'register$q'| A__questionmark_v2) (|tptp.'register$al'| A__questionmark_v3)) (= (|tptp.'comp$ca'| (|tptp.'register_pair$a'| A__questionmark_v0 A__questionmark_v1) (|tptp.'register_tensor$bk'| A__questionmark_v2 A__questionmark_v3)) (|tptp.'register_pair$g'| (|tptp.'comp$g'| A__questionmark_v0 A__questionmark_v2) (|tptp.'comp$m'| A__questionmark_v1 A__questionmark_v3))))))
% 1.08/1.31 (assume a441 (forall ((A__questionmark_v0 |tptp.'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'|) (A__questionmark_v1 |tptp.'A_c_prod_b_complement_domain_ell2_a_c_prod_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'|) (A__questionmark_v2 |tptp.'A_ell2_a_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$'|) (A__questionmark_v3 |tptp.'C_ell2_c_ell2_cblinfun_a_c_prod_b_complement_domain_ell2_a_c_prod_b_complement_domain_ell2_cblinfun_fun$'|)) (=> (and (|tptp.'compatible$b'| A__questionmark_v0 A__questionmark_v1) (|tptp.'register$q'| A__questionmark_v2) (|tptp.'register$am'| A__questionmark_v3)) (= (|tptp.'comp$cb'| (|tptp.'register_pair$'| A__questionmark_v0 A__questionmark_v1) (|tptp.'register_tensor$bl'| A__questionmark_v2 A__questionmark_v3)) (|tptp.'register_pair$a'| (|tptp.'comp$g'| A__questionmark_v0 A__questionmark_v2) (|tptp.'comp$cc'| A__questionmark_v1 A__questionmark_v3))))))
% 1.08/1.31 (assume a442 (forall ((A__questionmark_v0 |tptp.'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'|) (A__questionmark_v1 |tptp.'A_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'|) (A__questionmark_v2 |tptp.'A_ell2_a_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$'|) (A__questionmark_v3 |tptp.'A_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_a_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_fun$'|)) (=> (and (|tptp.'compatible$c'| A__questionmark_v0 A__questionmark_v1) (|tptp.'register$q'| A__questionmark_v2) (|tptp.'register$v'| A__questionmark_v3)) (= (|tptp.'comp$cd'| (|tptp.'register_pair$g'| A__questionmark_v0 A__questionmark_v1) (|tptp.'register_tensor$v'| A__questionmark_v2 A__questionmark_v3)) (|tptp.'register_pair$g'| (|tptp.'comp$g'| A__questionmark_v0 A__questionmark_v2) (|tptp.'comp$ai'| A__questionmark_v1 A__questionmark_v3))))))
% 1.08/1.31 (assume a443 (forall ((A__questionmark_v0 |tptp.'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'|) (A__questionmark_v1 |tptp.'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'|) (A__questionmark_v2 |tptp.'A_ell2_a_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$'|) (A__questionmark_v3 |tptp.'A_c_prod_b_complement_domain_ell2_a_c_prod_b_complement_domain_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$'|)) (=> (and (|tptp.'compatible$'| A__questionmark_v0 A__questionmark_v1) (|tptp.'register$q'| A__questionmark_v2) (|tptp.'register$an'| A__questionmark_v3)) (= (|tptp.'comp$ce'| (|tptp.'register_pair$a'| A__questionmark_v0 A__questionmark_v1) (|tptp.'register_tensor$bm'| A__questionmark_v2 A__questionmark_v3)) (|tptp.'register_pair$'| (|tptp.'comp$g'| A__questionmark_v0 A__questionmark_v2) (|tptp.'comp$s'| A__questionmark_v1 A__questionmark_v3))))))
% 1.08/1.31 (assume a444 (forall ((A__questionmark_v0 |tptp.'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'|) (A__questionmark_v1 |tptp.'A_a_c_prod_b_complement_domain_prod_ell2_a_a_c_prod_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'|) (A__questionmark_v2 |tptp.'A_ell2_a_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$'|) (A__questionmark_v3 |tptp.'C_ell2_c_ell2_cblinfun_a_a_c_prod_b_complement_domain_prod_ell2_a_a_c_prod_b_complement_domain_prod_ell2_cblinfun_fun$'|)) (=> (and (|tptp.'compatible$a'| A__questionmark_v0 A__questionmark_v1) (|tptp.'register$t'| A__questionmark_v2) (|tptp.'register$ao'| A__questionmark_v3)) (= (|tptp.'comp$cf'| (|tptp.'register_pair$d'| A__questionmark_v0 A__questionmark_v1) (|tptp.'register_tensor$bn'| A__questionmark_v2 A__questionmark_v3)) (|tptp.'register_pair$a'| (|tptp.'comp$d'| A__questionmark_v0 A__questionmark_v2) (|tptp.'comp$cg'| A__questionmark_v1 A__questionmark_v3))))))
% 1.08/1.31 (assume a445 (forall ((A__questionmark_v0 |tptp.'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'|) (A__questionmark_v1 |tptp.'A_c_prod_b_complement_domain_ell2_a_c_prod_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'|) (A__questionmark_v2 |tptp.'A_ell2_a_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$'|) (A__questionmark_v3 |tptp.'A_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_a_c_prod_b_complement_domain_ell2_a_c_prod_b_complement_domain_ell2_cblinfun_fun$'|)) (=> (and (|tptp.'compatible$b'| A__questionmark_v0 A__questionmark_v1) (|tptp.'register$q'| A__questionmark_v2) (|tptp.'register$ap'| A__questionmark_v3)) (= (|tptp.'comp$ch'| (|tptp.'register_pair$'| A__questionmark_v0 A__questionmark_v1) (|tptp.'register_tensor$bo'| A__questionmark_v2 A__questionmark_v3)) (|tptp.'register_pair$g'| (|tptp.'comp$g'| A__questionmark_v0 A__questionmark_v2) (|tptp.'comp$ci'| A__questionmark_v1 A__questionmark_v3))))))
% 1.08/1.31 (assume a446 (forall ((A__questionmark_v0 |tptp.'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'|) (A__questionmark_v1 |tptp.'A_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'|) (A__questionmark_v2 |tptp.'A_ell2_a_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$'|) (A__questionmark_v3 |tptp.'A_c_prod_b_complement_domain_ell2_a_c_prod_b_complement_domain_ell2_cblinfun_a_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_fun$'|)) (=> (and (|tptp.'compatible$c'| A__questionmark_v0 A__questionmark_v1) (|tptp.'register$q'| A__questionmark_v2) (|tptp.'register$aq'| A__questionmark_v3)) (= (|tptp.'comp$cj'| (|tptp.'register_pair$g'| A__questionmark_v0 A__questionmark_v1) (|tptp.'register_tensor$bp'| A__questionmark_v2 A__questionmark_v3)) (|tptp.'register_pair$'| (|tptp.'comp$g'| A__questionmark_v0 A__questionmark_v2) (|tptp.'comp$z'| A__questionmark_v1 A__questionmark_v3))))))
% 1.08/1.31 (assume a447 (forall ((A__questionmark_v0 |tptp.'B_ell2_b_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'|)) (= (|tptp.'bij_betw$a'| A__questionmark_v0 |tptp.'top$a'| |tptp.'top$a'|) (forall ((A__questionmark_v1 |tptp.'B_ell2_b_ell2_cblinfun$'|)) (exists ((A__questionmark_v2 |tptp.'B_ell2_b_ell2_cblinfun$'|)) (and (= (|tptp.'fun_app$l'| A__questionmark_v0 A__questionmark_v2) A__questionmark_v1) (forall ((A__questionmark_v3 |tptp.'B_ell2_b_ell2_cblinfun$'|)) (=> (= (|tptp.'fun_app$l'| A__questionmark_v0 A__questionmark_v3) A__questionmark_v1) (= A__questionmark_v3 A__questionmark_v2)))))))))
% 1.08/1.31 (assume a448 (forall ((A__questionmark_v0 |tptp.'C_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'|)) (= (|tptp.'bij_betw$b'| A__questionmark_v0 |tptp.'top$c'| |tptp.'top$a'|) (forall ((A__questionmark_v1 |tptp.'B_ell2_b_ell2_cblinfun$'|)) (exists ((A__questionmark_v2 |tptp.'C_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun$'|)) (and (= (|tptp.'fun_app$d'| A__questionmark_v0 A__questionmark_v2) A__questionmark_v1) (forall ((A__questionmark_v3 |tptp.'C_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun$'|)) (=> (= (|tptp.'fun_app$d'| A__questionmark_v0 A__questionmark_v3) A__questionmark_v1) (= A__questionmark_v3 A__questionmark_v2)))))))))
% 1.08/1.31 (assume a449 (forall ((A__questionmark_v0 |tptp.'A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'|)) (= (|tptp.'bij_betw$d'| A__questionmark_v0 |tptp.'top$d'| |tptp.'top$a'|) (forall ((A__questionmark_v1 |tptp.'B_ell2_b_ell2_cblinfun$'|)) (exists ((A__questionmark_v2 |tptp.'A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun$'|)) (and (= (|tptp.'fun_app$g'| A__questionmark_v0 A__questionmark_v2) A__questionmark_v1) (forall ((A__questionmark_v3 |tptp.'A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun$'|)) (=> (= (|tptp.'fun_app$g'| A__questionmark_v0 A__questionmark_v3) A__questionmark_v1) (= A__questionmark_v3 A__questionmark_v2)))))))))
% 1.08/1.31 (assume a450 (forall ((A__questionmark_v0 |tptp.'B_ell2_b_ell2_cblinfun_c_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_fun$'|)) (= (|tptp.'bij_betw$c'| A__questionmark_v0 |tptp.'top$a'| |tptp.'top$c'|) (forall ((A__questionmark_v1 |tptp.'C_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun$'|)) (exists ((A__questionmark_v2 |tptp.'B_ell2_b_ell2_cblinfun$'|)) (and (= (|tptp.'fun_app$c'| A__questionmark_v0 A__questionmark_v2) A__questionmark_v1) (forall ((A__questionmark_v3 |tptp.'B_ell2_b_ell2_cblinfun$'|)) (=> (= (|tptp.'fun_app$c'| A__questionmark_v0 A__questionmark_v3) A__questionmark_v1) (= A__questionmark_v3 A__questionmark_v2)))))))))
% 1.08/1.31 (assume a451 (forall ((A__questionmark_v0 |tptp.'B_ell2_b_ell2_cblinfun_a_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_fun$'|)) (= (|tptp.'bij_betw$e'| A__questionmark_v0 |tptp.'top$a'| |tptp.'top$d'|) (forall ((A__questionmark_v1 |tptp.'A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun$'|)) (exists ((A__questionmark_v2 |tptp.'B_ell2_b_ell2_cblinfun$'|)) (and (= (|tptp.'fun_app$f'| A__questionmark_v0 A__questionmark_v2) A__questionmark_v1) (forall ((A__questionmark_v3 |tptp.'B_ell2_b_ell2_cblinfun$'|)) (=> (= (|tptp.'fun_app$f'| A__questionmark_v0 A__questionmark_v3) A__questionmark_v1) (= A__questionmark_v3 A__questionmark_v2)))))))))
% 1.08/1.31 (assume a452 (forall ((A__questionmark_v0 |tptp.'A_c_prod_a_c_prod_b_complement_domain_prod_ell2_a_c_prod_a_c_prod_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'|)) (= (|tptp.'bij_betw$'| A__questionmark_v0 |tptp.'top$'| |tptp.'top$a'|) (forall ((A__questionmark_v1 |tptp.'B_ell2_b_ell2_cblinfun$'|)) (exists ((A__questionmark_v2 |tptp.'A_c_prod_a_c_prod_b_complement_domain_prod_ell2_a_c_prod_a_c_prod_b_complement_domain_prod_ell2_cblinfun$'|)) (and (= (|tptp.'fun_app$k'| A__questionmark_v0 A__questionmark_v2) A__questionmark_v1) (forall ((A__questionmark_v3 |tptp.'A_c_prod_a_c_prod_b_complement_domain_prod_ell2_a_c_prod_a_c_prod_b_complement_domain_prod_ell2_cblinfun$'|)) (=> (= (|tptp.'fun_app$k'| A__questionmark_v0 A__questionmark_v3) A__questionmark_v1) (= A__questionmark_v3 A__questionmark_v2)))))))))
% 1.08/1.31 (assume a453 (forall ((A__questionmark_v0 |tptp.'C_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_c_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_fun$'|)) (= (|tptp.'bij_betw$k'| A__questionmark_v0 |tptp.'top$c'| |tptp.'top$c'|) (forall ((A__questionmark_v1 |tptp.'C_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun$'|)) (exists ((A__questionmark_v2 |tptp.'C_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun$'|)) (and (= (|tptp.'fun_app$m'| A__questionmark_v0 A__questionmark_v2) A__questionmark_v1) (forall ((A__questionmark_v3 |tptp.'C_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun$'|)) (=> (= (|tptp.'fun_app$m'| A__questionmark_v0 A__questionmark_v3) A__questionmark_v1) (= A__questionmark_v3 A__questionmark_v2)))))))))
% 1.08/1.31 (assume a454 (forall ((A__questionmark_v0 |tptp.'C_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_a_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_fun$'|)) (= (|tptp.'bij_betw$l'| A__questionmark_v0 |tptp.'top$c'| |tptp.'top$d'|) (forall ((A__questionmark_v1 |tptp.'A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun$'|)) (exists ((A__questionmark_v2 |tptp.'C_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun$'|)) (and (= (|tptp.'fun_app$o'| A__questionmark_v0 A__questionmark_v2) A__questionmark_v1) (forall ((A__questionmark_v3 |tptp.'C_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun$'|)) (=> (= (|tptp.'fun_app$o'| A__questionmark_v0 A__questionmark_v3) A__questionmark_v1) (= A__questionmark_v3 A__questionmark_v2)))))))))
% 1.08/1.31 (assume a455 (forall ((A__questionmark_v0 |tptp.'C_a_a_c_prod_b_complement_domain_prod_prod_ell2_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'|)) (= (|tptp.'bij_betw$m'| A__questionmark_v0 |tptp.'top$b'| |tptp.'top$a'|) (forall ((A__questionmark_v1 |tptp.'B_ell2_b_ell2_cblinfun$'|)) (exists ((A__questionmark_v2 |tptp.'C_a_a_c_prod_b_complement_domain_prod_prod_ell2_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun$'|)) (and (= (|tptp.'fun_app$e'| A__questionmark_v0 A__questionmark_v2) A__questionmark_v1) (forall ((A__questionmark_v3 |tptp.'C_a_a_c_prod_b_complement_domain_prod_prod_ell2_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun$'|)) (=> (= (|tptp.'fun_app$e'| A__questionmark_v0 A__questionmark_v3) A__questionmark_v1) (= A__questionmark_v3 A__questionmark_v2)))))))))
% 1.08/1.31 (assume a456 (forall ((A__questionmark_v0 |tptp.'A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_c_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_fun$'|)) (= (|tptp.'bij_betw$n'| A__questionmark_v0 |tptp.'top$d'| |tptp.'top$c'|) (forall ((A__questionmark_v1 |tptp.'C_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun$'|)) (exists ((A__questionmark_v2 |tptp.'A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun$'|)) (and (= (|tptp.'fun_app$n'| A__questionmark_v0 A__questionmark_v2) A__questionmark_v1) (forall ((A__questionmark_v3 |tptp.'A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun$'|)) (=> (= (|tptp.'fun_app$n'| A__questionmark_v0 A__questionmark_v3) A__questionmark_v1) (= A__questionmark_v3 A__questionmark_v2)))))))))
% 1.08/1.31 (assume a457 (forall ((A__questionmark_v0 |tptp.'B_ell2_b_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'|) (A__questionmark_v1 |tptp.'B_ell2_b_ell2_cblinfun$'|)) (=> (and (|tptp.'bij_betw$a'| A__questionmark_v0 |tptp.'top$a'| |tptp.'top$a'|) (forall ((A__questionmark_v2 |tptp.'B_ell2_b_ell2_cblinfun$'|)) (=> (and (= A__questionmark_v1 (|tptp.'fun_app$l'| A__questionmark_v0 A__questionmark_v2)) (forall ((A__questionmark_v3 |tptp.'B_ell2_b_ell2_cblinfun$'|)) (=> (= A__questionmark_v1 (|tptp.'fun_app$l'| A__questionmark_v0 A__questionmark_v3)) (= A__questionmark_v3 A__questionmark_v2)))) false))) false)))
% 1.08/1.31 (assume a458 (forall ((A__questionmark_v0 |tptp.'C_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'|) (A__questionmark_v1 |tptp.'B_ell2_b_ell2_cblinfun$'|)) (=> (and (|tptp.'bij_betw$b'| A__questionmark_v0 |tptp.'top$c'| |tptp.'top$a'|) (forall ((A__questionmark_v2 |tptp.'C_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun$'|)) (=> (and (= A__questionmark_v1 (|tptp.'fun_app$d'| A__questionmark_v0 A__questionmark_v2)) (forall ((A__questionmark_v3 |tptp.'C_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun$'|)) (=> (= A__questionmark_v1 (|tptp.'fun_app$d'| A__questionmark_v0 A__questionmark_v3)) (= A__questionmark_v3 A__questionmark_v2)))) false))) false)))
% 1.08/1.31 (assume a459 (forall ((A__questionmark_v0 |tptp.'A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'|) (A__questionmark_v1 |tptp.'B_ell2_b_ell2_cblinfun$'|)) (=> (and (|tptp.'bij_betw$d'| A__questionmark_v0 |tptp.'top$d'| |tptp.'top$a'|) (forall ((A__questionmark_v2 |tptp.'A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun$'|)) (=> (and (= A__questionmark_v1 (|tptp.'fun_app$g'| A__questionmark_v0 A__questionmark_v2)) (forall ((A__questionmark_v3 |tptp.'A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun$'|)) (=> (= A__questionmark_v1 (|tptp.'fun_app$g'| A__questionmark_v0 A__questionmark_v3)) (= A__questionmark_v3 A__questionmark_v2)))) false))) false)))
% 1.08/1.31 (assume a460 (forall ((A__questionmark_v0 |tptp.'B_ell2_b_ell2_cblinfun_c_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_fun$'|) (A__questionmark_v1 |tptp.'C_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun$'|)) (=> (and (|tptp.'bij_betw$c'| A__questionmark_v0 |tptp.'top$a'| |tptp.'top$c'|) (forall ((A__questionmark_v2 |tptp.'B_ell2_b_ell2_cblinfun$'|)) (=> (and (= A__questionmark_v1 (|tptp.'fun_app$c'| A__questionmark_v0 A__questionmark_v2)) (forall ((A__questionmark_v3 |tptp.'B_ell2_b_ell2_cblinfun$'|)) (=> (= A__questionmark_v1 (|tptp.'fun_app$c'| A__questionmark_v0 A__questionmark_v3)) (= A__questionmark_v3 A__questionmark_v2)))) false))) false)))
% 1.08/1.31 (assume a461 (forall ((A__questionmark_v0 |tptp.'B_ell2_b_ell2_cblinfun_a_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_fun$'|) (A__questionmark_v1 |tptp.'A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun$'|)) (=> (and (|tptp.'bij_betw$e'| A__questionmark_v0 |tptp.'top$a'| |tptp.'top$d'|) (forall ((A__questionmark_v2 |tptp.'B_ell2_b_ell2_cblinfun$'|)) (=> (and (= A__questionmark_v1 (|tptp.'fun_app$f'| A__questionmark_v0 A__questionmark_v2)) (forall ((A__questionmark_v3 |tptp.'B_ell2_b_ell2_cblinfun$'|)) (=> (= A__questionmark_v1 (|tptp.'fun_app$f'| A__questionmark_v0 A__questionmark_v3)) (= A__questionmark_v3 A__questionmark_v2)))) false))) false)))
% 1.08/1.31 (assume a462 (forall ((A__questionmark_v0 |tptp.'A_c_prod_a_c_prod_b_complement_domain_prod_ell2_a_c_prod_a_c_prod_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'|) (A__questionmark_v1 |tptp.'B_ell2_b_ell2_cblinfun$'|)) (=> (and (|tptp.'bij_betw$'| A__questionmark_v0 |tptp.'top$'| |tptp.'top$a'|) (forall ((A__questionmark_v2 |tptp.'A_c_prod_a_c_prod_b_complement_domain_prod_ell2_a_c_prod_a_c_prod_b_complement_domain_prod_ell2_cblinfun$'|)) (=> (and (= A__questionmark_v1 (|tptp.'fun_app$k'| A__questionmark_v0 A__questionmark_v2)) (forall ((A__questionmark_v3 |tptp.'A_c_prod_a_c_prod_b_complement_domain_prod_ell2_a_c_prod_a_c_prod_b_complement_domain_prod_ell2_cblinfun$'|)) (=> (= A__questionmark_v1 (|tptp.'fun_app$k'| A__questionmark_v0 A__questionmark_v3)) (= A__questionmark_v3 A__questionmark_v2)))) false))) false)))
% 1.08/1.31 (assume a463 (forall ((A__questionmark_v0 |tptp.'C_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_c_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_fun$'|) (A__questionmark_v1 |tptp.'C_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun$'|)) (=> (and (|tptp.'bij_betw$k'| A__questionmark_v0 |tptp.'top$c'| |tptp.'top$c'|) (forall ((A__questionmark_v2 |tptp.'C_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun$'|)) (=> (and (= A__questionmark_v1 (|tptp.'fun_app$m'| A__questionmark_v0 A__questionmark_v2)) (forall ((A__questionmark_v3 |tptp.'C_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun$'|)) (=> (= A__questionmark_v1 (|tptp.'fun_app$m'| A__questionmark_v0 A__questionmark_v3)) (= A__questionmark_v3 A__questionmark_v2)))) false))) false)))
% 1.08/1.31 (assume a464 (forall ((A__questionmark_v0 |tptp.'C_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_a_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_fun$'|) (A__questionmark_v1 |tptp.'A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun$'|)) (=> (and (|tptp.'bij_betw$l'| A__questionmark_v0 |tptp.'top$c'| |tptp.'top$d'|) (forall ((A__questionmark_v2 |tptp.'C_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun$'|)) (=> (and (= A__questionmark_v1 (|tptp.'fun_app$o'| A__questionmark_v0 A__questionmark_v2)) (forall ((A__questionmark_v3 |tptp.'C_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun$'|)) (=> (= A__questionmark_v1 (|tptp.'fun_app$o'| A__questionmark_v0 A__questionmark_v3)) (= A__questionmark_v3 A__questionmark_v2)))) false))) false)))
% 1.08/1.31 (assume a465 (forall ((A__questionmark_v0 |tptp.'C_a_a_c_prod_b_complement_domain_prod_prod_ell2_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'|) (A__questionmark_v1 |tptp.'B_ell2_b_ell2_cblinfun$'|)) (=> (and (|tptp.'bij_betw$m'| A__questionmark_v0 |tptp.'top$b'| |tptp.'top$a'|) (forall ((A__questionmark_v2 |tptp.'C_a_a_c_prod_b_complement_domain_prod_prod_ell2_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun$'|)) (=> (and (= A__questionmark_v1 (|tptp.'fun_app$e'| A__questionmark_v0 A__questionmark_v2)) (forall ((A__questionmark_v3 |tptp.'C_a_a_c_prod_b_complement_domain_prod_prod_ell2_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun$'|)) (=> (= A__questionmark_v1 (|tptp.'fun_app$e'| A__questionmark_v0 A__questionmark_v3)) (= A__questionmark_v3 A__questionmark_v2)))) false))) false)))
% 1.08/1.31 (assume a466 (forall ((A__questionmark_v0 |tptp.'A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_c_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_fun$'|) (A__questionmark_v1 |tptp.'C_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun$'|)) (=> (and (|tptp.'bij_betw$n'| A__questionmark_v0 |tptp.'top$d'| |tptp.'top$c'|) (forall ((A__questionmark_v2 |tptp.'A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun$'|)) (=> (and (= A__questionmark_v1 (|tptp.'fun_app$n'| A__questionmark_v0 A__questionmark_v2)) (forall ((A__questionmark_v3 |tptp.'A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun$'|)) (=> (= A__questionmark_v1 (|tptp.'fun_app$n'| A__questionmark_v0 A__questionmark_v3)) (= A__questionmark_v3 A__questionmark_v2)))) false))) false)))
% 1.08/1.31 (assume a467 (forall ((A__questionmark_v0 |tptp.'C_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_c_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_fun$'|)) (=> (forall ((A__questionmark_v1 |tptp.'C_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun$'|)) (= (|tptp.'fun_app$m'| A__questionmark_v0 (|tptp.'fun_app$m'| A__questionmark_v0 A__questionmark_v1)) A__questionmark_v1)) (|tptp.'bij_betw$k'| A__questionmark_v0 |tptp.'top$c'| |tptp.'top$c'|))))
% 1.08/1.31 (assume a468 (forall ((A__questionmark_v0 |tptp.'C_a_a_c_prod_b_complement_domain_prod_prod_ell2_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_fun$'|)) (=> (forall ((A__questionmark_v1 |tptp.'C_a_a_c_prod_b_complement_domain_prod_prod_ell2_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun$'|)) (= (|tptp.'fun_app$al'| A__questionmark_v0 (|tptp.'fun_app$al'| A__questionmark_v0 A__questionmark_v1)) A__questionmark_v1)) (|tptp.'bij_betw$u'| A__questionmark_v0 |tptp.'top$b'| |tptp.'top$b'|))))
% 1.08/1.31 (assume a469 (forall ((A__questionmark_v0 |tptp.'A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_a_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_fun$'|)) (=> (forall ((A__questionmark_v1 |tptp.'A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun$'|)) (= (|tptp.'fun_app$aa'| A__questionmark_v0 (|tptp.'fun_app$aa'| A__questionmark_v0 A__questionmark_v1)) A__questionmark_v1)) (|tptp.'bij_betw$v'| A__questionmark_v0 |tptp.'top$d'| |tptp.'top$d'|))))
% 1.08/1.31 (assume a470 (forall ((A__questionmark_v0 |tptp.'A_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_fun$'|)) (=> (forall ((A__questionmark_v1 |tptp.'A_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun$'|)) (= (|tptp.'fun_app$am'| A__questionmark_v0 (|tptp.'fun_app$am'| A__questionmark_v0 A__questionmark_v1)) A__questionmark_v1)) (|tptp.'bij_betw$w'| A__questionmark_v0 |tptp.'top$g'| |tptp.'top$g'|))))
% 1.08/1.31 (assume a471 (forall ((A__questionmark_v0 |tptp.'B_ell2_b_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'|)) (=> (forall ((A__questionmark_v1 |tptp.'B_ell2_b_ell2_cblinfun$'|)) (= (|tptp.'fun_app$l'| A__questionmark_v0 (|tptp.'fun_app$l'| A__questionmark_v0 A__questionmark_v1)) A__questionmark_v1)) (|tptp.'bij_betw$a'| A__questionmark_v0 |tptp.'top$a'| |tptp.'top$a'|))))
% 1.08/1.31 (assume a472 (forall ((A__questionmark_v0 |tptp.'C_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'|) (A__questionmark_v1 |tptp.'C_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_set$'|) (A__questionmark_v2 |tptp.'B_ell2_b_ell2_cblinfun_set$'|) (A__questionmark_v3 |tptp.'B_ell2_b_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'|) (A__questionmark_v4 |tptp.'B_ell2_b_ell2_cblinfun_set$'|)) (=> (and (|tptp.'bij_betw$b'| A__questionmark_v0 A__questionmark_v1 A__questionmark_v2) (|tptp.'bij_betw$a'| A__questionmark_v3 A__questionmark_v2 A__questionmark_v4)) (|tptp.'bij_betw$b'| (|tptp.'comp$ae'| A__questionmark_v3 A__questionmark_v0) A__questionmark_v1 A__questionmark_v4))))
% 1.08/1.31 (assume a473 (forall ((A__questionmark_v0 |tptp.'A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'|) (A__questionmark_v1 |tptp.'A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_set$'|) (A__questionmark_v2 |tptp.'B_ell2_b_ell2_cblinfun_set$'|) (A__questionmark_v3 |tptp.'B_ell2_b_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'|) (A__questionmark_v4 |tptp.'B_ell2_b_ell2_cblinfun_set$'|)) (=> (and (|tptp.'bij_betw$d'| A__questionmark_v0 A__questionmark_v1 A__questionmark_v2) (|tptp.'bij_betw$a'| A__questionmark_v3 A__questionmark_v2 A__questionmark_v4)) (|tptp.'bij_betw$d'| (|tptp.'comp$r'| A__questionmark_v3 A__questionmark_v0) A__questionmark_v1 A__questionmark_v4))))
% 1.08/1.31 (assume a474 (forall ((A__questionmark_v0 |tptp.'C_a_c_prod_b_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_ell2_cblinfun_a_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_fun$'|) (A__questionmark_v1 |tptp.'C_a_c_prod_b_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_ell2_cblinfun_set$'|) (A__questionmark_v2 |tptp.'A_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_set$'|) (A__questionmark_v3 |tptp.'A_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'|) (A__questionmark_v4 |tptp.'B_ell2_b_ell2_cblinfun_set$'|)) (=> (and (|tptp.'bij_betw$i'| A__questionmark_v0 A__questionmark_v1 A__questionmark_v2) (|tptp.'bij_betw$h'| A__questionmark_v3 A__questionmark_v2 A__questionmark_v4)) (|tptp.'bij_betw$t'| (|tptp.'comp$'| A__questionmark_v3 A__questionmark_v0) A__questionmark_v1 A__questionmark_v4))))
% 1.08/1.31 (assume a475 (forall ((A__questionmark_v0 |tptp.'C_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_c_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_fun$'|) (A__questionmark_v1 |tptp.'C_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_set$'|) (A__questionmark_v2 |tptp.'C_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_set$'|) (A__questionmark_v3 |tptp.'C_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'|) (A__questionmark_v4 |tptp.'B_ell2_b_ell2_cblinfun_set$'|)) (=> (and (|tptp.'bij_betw$k'| A__questionmark_v0 A__questionmark_v1 A__questionmark_v2) (|tptp.'bij_betw$b'| A__questionmark_v3 A__questionmark_v2 A__questionmark_v4)) (|tptp.'bij_betw$b'| (|tptp.'comp$bf'| A__questionmark_v3 A__questionmark_v0) A__questionmark_v1 A__questionmark_v4))))
% 1.08/1.31 (assume a476 (forall ((A__questionmark_v0 |tptp.'A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_c_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_fun$'|) (A__questionmark_v1 |tptp.'A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_set$'|) (A__questionmark_v2 |tptp.'C_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_set$'|) (A__questionmark_v3 |tptp.'C_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'|) (A__questionmark_v4 |tptp.'B_ell2_b_ell2_cblinfun_set$'|)) (=> (and (|tptp.'bij_betw$n'| A__questionmark_v0 A__questionmark_v1 A__questionmark_v2) (|tptp.'bij_betw$b'| A__questionmark_v3 A__questionmark_v2 A__questionmark_v4)) (|tptp.'bij_betw$d'| (|tptp.'comp$ck'| A__questionmark_v3 A__questionmark_v0) A__questionmark_v1 A__questionmark_v4))))
% 1.08/1.31 (assume a477 (forall ((A__questionmark_v0 |tptp.'C_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_a_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_fun$'|) (A__questionmark_v1 |tptp.'C_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_set$'|) (A__questionmark_v2 |tptp.'A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_set$'|) (A__questionmark_v3 |tptp.'A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'|) (A__questionmark_v4 |tptp.'B_ell2_b_ell2_cblinfun_set$'|)) (=> (and (|tptp.'bij_betw$l'| A__questionmark_v0 A__questionmark_v1 A__questionmark_v2) (|tptp.'bij_betw$d'| A__questionmark_v3 A__questionmark_v2 A__questionmark_v4)) (|tptp.'bij_betw$b'| (|tptp.'comp$cl'| A__questionmark_v3 A__questionmark_v0) A__questionmark_v1 A__questionmark_v4))))
% 1.08/1.31 (assume a478 (forall ((A__questionmark_v0 |tptp.'A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_a_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_fun$'|) (A__questionmark_v1 |tptp.'A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_set$'|) (A__questionmark_v2 |tptp.'A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_set$'|) (A__questionmark_v3 |tptp.'A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'|) (A__questionmark_v4 |tptp.'B_ell2_b_ell2_cblinfun_set$'|)) (=> (and (|tptp.'bij_betw$v'| A__questionmark_v0 A__questionmark_v1 A__questionmark_v2) (|tptp.'bij_betw$d'| A__questionmark_v3 A__questionmark_v2 A__questionmark_v4)) (|tptp.'bij_betw$d'| (|tptp.'comp$cd'| A__questionmark_v3 A__questionmark_v0) A__questionmark_v1 A__questionmark_v4))))
% 1.08/1.31 (assume a479 (forall ((A__questionmark_v0 |tptp.'A_c_prod_a_c_prod_b_complement_domain_prod_ell2_a_c_prod_a_c_prod_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'|) (A__questionmark_v1 |tptp.'A_c_prod_a_c_prod_b_complement_domain_prod_ell2_a_c_prod_a_c_prod_b_complement_domain_prod_ell2_cblinfun_set$'|) (A__questionmark_v2 |tptp.'B_ell2_b_ell2_cblinfun_set$'|) (A__questionmark_v3 |tptp.'B_ell2_b_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'|) (A__questionmark_v4 |tptp.'B_ell2_b_ell2_cblinfun_set$'|)) (=> (and (|tptp.'bij_betw$'| A__questionmark_v0 A__questionmark_v1 A__questionmark_v2) (|tptp.'bij_betw$a'| A__questionmark_v3 A__questionmark_v2 A__questionmark_v4)) (|tptp.'bij_betw$'| (|tptp.'comp$be'| A__questionmark_v3 A__questionmark_v0) A__questionmark_v1 A__questionmark_v4))))
% 1.08/1.31 (assume a480 (forall ((A__questionmark_v0 |tptp.'B_ell2_b_ell2_cblinfun_a_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_fun$'|) (A__questionmark_v1 |tptp.'B_ell2_b_ell2_cblinfun_set$'|) (A__questionmark_v2 |tptp.'A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_set$'|) (A__questionmark_v3 |tptp.'A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_fun$'|) (A__questionmark_v4 |tptp.'A_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_set$'|)) (=> (and (|tptp.'bij_betw$e'| A__questionmark_v0 A__questionmark_v1 A__questionmark_v2) (|tptp.'bij_betw$s'| A__questionmark_v3 A__questionmark_v2 A__questionmark_v4)) (|tptp.'bij_betw$r'| (|tptp.'comp$a'| A__questionmark_v3 A__questionmark_v0) A__questionmark_v1 A__questionmark_v4))))
% 1.08/1.31 (assume a481 (forall ((A__questionmark_v0 |tptp.'C_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_a_c_prod_a_c_prod_b_complement_domain_prod_ell2_a_c_prod_a_c_prod_b_complement_domain_prod_ell2_cblinfun_fun$'|) (A__questionmark_v1 |tptp.'C_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_set$'|) (A__questionmark_v2 |tptp.'A_c_prod_a_c_prod_b_complement_domain_prod_ell2_a_c_prod_a_c_prod_b_complement_domain_prod_ell2_cblinfun_set$'|) (A__questionmark_v3 |tptp.'A_c_prod_a_c_prod_b_complement_domain_prod_ell2_a_c_prod_a_c_prod_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'|) (A__questionmark_v4 |tptp.'B_ell2_b_ell2_cblinfun_set$'|)) (=> (and (|tptp.'bij_betw$x'| A__questionmark_v0 A__questionmark_v1 A__questionmark_v2) (|tptp.'bij_betw$'| A__questionmark_v3 A__questionmark_v2 A__questionmark_v4)) (|tptp.'bij_betw$b'| (|tptp.'comp$cm'| A__questionmark_v3 A__questionmark_v0) A__questionmark_v1 A__questionmark_v4))))
% 1.08/1.31 (assume a482 (forall ((A__questionmark_v0 |tptp.'C_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'|) (A__questionmark_v1 |tptp.'C_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_set$'|) (A__questionmark_v2 |tptp.'B_ell2_b_ell2_cblinfun_set$'|) (A__questionmark_v3 |tptp.'B_ell2_b_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'|) (A__questionmark_v4 |tptp.'B_ell2_b_ell2_cblinfun_set$'|)) (=> (|tptp.'bij_betw$b'| A__questionmark_v0 A__questionmark_v1 A__questionmark_v2) (= (|tptp.'bij_betw$a'| A__questionmark_v3 A__questionmark_v2 A__questionmark_v4) (|tptp.'bij_betw$b'| (|tptp.'comp$ae'| A__questionmark_v3 A__questionmark_v0) A__questionmark_v1 A__questionmark_v4)))))
% 1.08/1.31 (assume a483 (forall ((A__questionmark_v0 |tptp.'A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'|) (A__questionmark_v1 |tptp.'A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_set$'|) (A__questionmark_v2 |tptp.'B_ell2_b_ell2_cblinfun_set$'|) (A__questionmark_v3 |tptp.'B_ell2_b_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'|) (A__questionmark_v4 |tptp.'B_ell2_b_ell2_cblinfun_set$'|)) (=> (|tptp.'bij_betw$d'| A__questionmark_v0 A__questionmark_v1 A__questionmark_v2) (= (|tptp.'bij_betw$a'| A__questionmark_v3 A__questionmark_v2 A__questionmark_v4) (|tptp.'bij_betw$d'| (|tptp.'comp$r'| A__questionmark_v3 A__questionmark_v0) A__questionmark_v1 A__questionmark_v4)))))
% 1.08/1.31 (assume a484 (forall ((A__questionmark_v0 |tptp.'C_a_c_prod_b_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_ell2_cblinfun_a_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_fun$'|) (A__questionmark_v1 |tptp.'C_a_c_prod_b_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_ell2_cblinfun_set$'|) (A__questionmark_v2 |tptp.'A_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_set$'|) (A__questionmark_v3 |tptp.'A_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'|) (A__questionmark_v4 |tptp.'B_ell2_b_ell2_cblinfun_set$'|)) (=> (|tptp.'bij_betw$i'| A__questionmark_v0 A__questionmark_v1 A__questionmark_v2) (= (|tptp.'bij_betw$h'| A__questionmark_v3 A__questionmark_v2 A__questionmark_v4) (|tptp.'bij_betw$t'| (|tptp.'comp$'| A__questionmark_v3 A__questionmark_v0) A__questionmark_v1 A__questionmark_v4)))))
% 1.08/1.31 (assume a485 (forall ((A__questionmark_v0 |tptp.'C_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_c_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_fun$'|) (A__questionmark_v1 |tptp.'C_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_set$'|) (A__questionmark_v2 |tptp.'C_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_set$'|) (A__questionmark_v3 |tptp.'C_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'|) (A__questionmark_v4 |tptp.'B_ell2_b_ell2_cblinfun_set$'|)) (=> (|tptp.'bij_betw$k'| A__questionmark_v0 A__questionmark_v1 A__questionmark_v2) (= (|tptp.'bij_betw$b'| A__questionmark_v3 A__questionmark_v2 A__questionmark_v4) (|tptp.'bij_betw$b'| (|tptp.'comp$bf'| A__questionmark_v3 A__questionmark_v0) A__questionmark_v1 A__questionmark_v4)))))
% 1.08/1.31 (assume a486 (forall ((A__questionmark_v0 |tptp.'A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_c_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_fun$'|) (A__questionmark_v1 |tptp.'A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_set$'|) (A__questionmark_v2 |tptp.'C_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_set$'|) (A__questionmark_v3 |tptp.'C_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'|) (A__questionmark_v4 |tptp.'B_ell2_b_ell2_cblinfun_set$'|)) (=> (|tptp.'bij_betw$n'| A__questionmark_v0 A__questionmark_v1 A__questionmark_v2) (= (|tptp.'bij_betw$b'| A__questionmark_v3 A__questionmark_v2 A__questionmark_v4) (|tptp.'bij_betw$d'| (|tptp.'comp$ck'| A__questionmark_v3 A__questionmark_v0) A__questionmark_v1 A__questionmark_v4)))))
% 1.08/1.31 (assume a487 (forall ((A__questionmark_v0 |tptp.'C_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_a_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_fun$'|) (A__questionmark_v1 |tptp.'C_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_set$'|) (A__questionmark_v2 |tptp.'A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_set$'|) (A__questionmark_v3 |tptp.'A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'|) (A__questionmark_v4 |tptp.'B_ell2_b_ell2_cblinfun_set$'|)) (=> (|tptp.'bij_betw$l'| A__questionmark_v0 A__questionmark_v1 A__questionmark_v2) (= (|tptp.'bij_betw$d'| A__questionmark_v3 A__questionmark_v2 A__questionmark_v4) (|tptp.'bij_betw$b'| (|tptp.'comp$cl'| A__questionmark_v3 A__questionmark_v0) A__questionmark_v1 A__questionmark_v4)))))
% 1.08/1.31 (assume a488 (forall ((A__questionmark_v0 |tptp.'A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_a_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_fun$'|) (A__questionmark_v1 |tptp.'A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_set$'|) (A__questionmark_v2 |tptp.'A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_set$'|) (A__questionmark_v3 |tptp.'A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'|) (A__questionmark_v4 |tptp.'B_ell2_b_ell2_cblinfun_set$'|)) (=> (|tptp.'bij_betw$v'| A__questionmark_v0 A__questionmark_v1 A__questionmark_v2) (= (|tptp.'bij_betw$d'| A__questionmark_v3 A__questionmark_v2 A__questionmark_v4) (|tptp.'bij_betw$d'| (|tptp.'comp$cd'| A__questionmark_v3 A__questionmark_v0) A__questionmark_v1 A__questionmark_v4)))))
% 1.08/1.31 (assume a489 (forall ((A__questionmark_v0 |tptp.'A_c_prod_a_c_prod_b_complement_domain_prod_ell2_a_c_prod_a_c_prod_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'|) (A__questionmark_v1 |tptp.'A_c_prod_a_c_prod_b_complement_domain_prod_ell2_a_c_prod_a_c_prod_b_complement_domain_prod_ell2_cblinfun_set$'|) (A__questionmark_v2 |tptp.'B_ell2_b_ell2_cblinfun_set$'|) (A__questionmark_v3 |tptp.'B_ell2_b_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'|) (A__questionmark_v4 |tptp.'B_ell2_b_ell2_cblinfun_set$'|)) (=> (|tptp.'bij_betw$'| A__questionmark_v0 A__questionmark_v1 A__questionmark_v2) (= (|tptp.'bij_betw$a'| A__questionmark_v3 A__questionmark_v2 A__questionmark_v4) (|tptp.'bij_betw$'| (|tptp.'comp$be'| A__questionmark_v3 A__questionmark_v0) A__questionmark_v1 A__questionmark_v4)))))
% 1.08/1.31 (assume a490 (forall ((A__questionmark_v0 |tptp.'B_ell2_b_ell2_cblinfun_a_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_fun$'|) (A__questionmark_v1 |tptp.'B_ell2_b_ell2_cblinfun_set$'|) (A__questionmark_v2 |tptp.'A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_set$'|) (A__questionmark_v3 |tptp.'A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_fun$'|) (A__questionmark_v4 |tptp.'A_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_set$'|)) (=> (|tptp.'bij_betw$e'| A__questionmark_v0 A__questionmark_v1 A__questionmark_v2) (= (|tptp.'bij_betw$s'| A__questionmark_v3 A__questionmark_v2 A__questionmark_v4) (|tptp.'bij_betw$r'| (|tptp.'comp$a'| A__questionmark_v3 A__questionmark_v0) A__questionmark_v1 A__questionmark_v4)))))
% 1.08/1.31 (assume a491 (forall ((A__questionmark_v0 |tptp.'C_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_a_c_prod_a_c_prod_b_complement_domain_prod_ell2_a_c_prod_a_c_prod_b_complement_domain_prod_ell2_cblinfun_fun$'|) (A__questionmark_v1 |tptp.'C_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_set$'|) (A__questionmark_v2 |tptp.'A_c_prod_a_c_prod_b_complement_domain_prod_ell2_a_c_prod_a_c_prod_b_complement_domain_prod_ell2_cblinfun_set$'|) (A__questionmark_v3 |tptp.'A_c_prod_a_c_prod_b_complement_domain_prod_ell2_a_c_prod_a_c_prod_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'|) (A__questionmark_v4 |tptp.'B_ell2_b_ell2_cblinfun_set$'|)) (=> (|tptp.'bij_betw$x'| A__questionmark_v0 A__questionmark_v1 A__questionmark_v2) (= (|tptp.'bij_betw$'| A__questionmark_v3 A__questionmark_v2 A__questionmark_v4) (|tptp.'bij_betw$b'| (|tptp.'comp$cm'| A__questionmark_v3 A__questionmark_v0) A__questionmark_v1 A__questionmark_v4)))))
% 1.08/1.31 (assume a492 (forall ((A__questionmark_v0 |tptp.'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'|) (A__questionmark_v1 |tptp.'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'|) (A__questionmark_v2 |tptp.'C_ell2_c_ell2_cblinfun$'|)) (=> (and (|tptp.'register$a'| A__questionmark_v0) (|tptp.'complements$t'| A__questionmark_v0 A__questionmark_v1) (= (|tptp.'fun_app$an'| (|tptp.'register_pair$a'| A__questionmark_v0 A__questionmark_v1) (|tptp.'tensor_op$l'| (|tptp.'butterfly$a'| (|tptp.'ket$a'| |tptp.'default$a'|) (|tptp.'ket$a'| |tptp.'default$a'|)) A__questionmark_v2)) (|tptp.'butterfly$'| (|tptp.'ket$'| |tptp.'default$'|) (|tptp.'ket$'| |tptp.'default$'|)))) (|tptp.'regular_register$'| A__questionmark_v0))))
% 1.08/1.31 (assume a493 (forall ((A__questionmark_v0 |tptp.'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'|) (A__questionmark_v1 |tptp.'A_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'|) (A__questionmark_v2 |tptp.'A_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun$'|)) (=> (and (|tptp.'register$a'| A__questionmark_v0) (|tptp.'complements$p'| A__questionmark_v0 A__questionmark_v1) (= (|tptp.'fun_app$g'| (|tptp.'register_pair$g'| A__questionmark_v0 A__questionmark_v1) (|tptp.'tensor_op$c'| (|tptp.'butterfly$a'| (|tptp.'ket$a'| |tptp.'default$a'|) (|tptp.'ket$a'| |tptp.'default$a'|)) A__questionmark_v2)) (|tptp.'butterfly$'| (|tptp.'ket$'| |tptp.'default$'|) (|tptp.'ket$'| |tptp.'default$'|)))) (|tptp.'regular_register$'| A__questionmark_v0))))
% 1.08/1.31 (assume a494 (forall ((A__questionmark_v0 |tptp.'A_ell2_a_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$'|) (A__questionmark_v1 |tptp.'A_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$'|) (A__questionmark_v2 |tptp.'A_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun$'|)) (=> (and (|tptp.'register$q'| A__questionmark_v0) (|tptp.'complements$ae'| A__questionmark_v0 A__questionmark_v1) (= (|tptp.'fun_app$ao'| (|tptp.'register_pair$u'| A__questionmark_v0 A__questionmark_v1) (|tptp.'tensor_op$c'| (|tptp.'butterfly$a'| (|tptp.'ket$a'| |tptp.'default$a'|) (|tptp.'ket$a'| |tptp.'default$a'|)) A__questionmark_v2)) (|tptp.'butterfly$a'| (|tptp.'ket$a'| |tptp.'default$a'|) (|tptp.'ket$a'| |tptp.'default$a'|)))) (|tptp.'regular_register$e'| A__questionmark_v0))))
% 1.08/1.31 (assume a495 (forall ((A__questionmark_v0 |tptp.'A_ell2_a_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$'|) (A__questionmark_v1 |tptp.'A_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$'|) (A__questionmark_v2 |tptp.'A_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun$'|)) (=> (and (|tptp.'register$t'| A__questionmark_v0) (|tptp.'complements$af'| A__questionmark_v0 A__questionmark_v1) (= (|tptp.'fun_app$ap'| (|tptp.'register_pair$t'| A__questionmark_v0 A__questionmark_v1) (|tptp.'tensor_op$c'| (|tptp.'butterfly$a'| (|tptp.'ket$a'| |tptp.'default$a'|) (|tptp.'ket$a'| |tptp.'default$a'|)) A__questionmark_v2)) (|tptp.'butterfly$b'| (|tptp.'ket$b'| |tptp.'default$b'|) (|tptp.'ket$b'| |tptp.'default$b'|)))) (|tptp.'regular_register$f'| A__questionmark_v0))))
% 1.08/1.31 (assume a496 (forall ((A__questionmark_v0 |tptp.'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'|) (A__questionmark_v1 |tptp.'C_b_complement_domain_ell2_c_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'|) (A__questionmark_v2 |tptp.'C_b_complement_domain_ell2_c_b_complement_domain_ell2_cblinfun$'|)) (=> (and (|tptp.'register$'| A__questionmark_v0) (|tptp.'complements$q'| A__questionmark_v0 A__questionmark_v1) (= (|tptp.'fun_app$d'| (|tptp.'register_pair$x'| A__questionmark_v0 A__questionmark_v1) (|tptp.'tensor_op$f'| (|tptp.'butterfly$b'| (|tptp.'ket$b'| |tptp.'default$b'|) (|tptp.'ket$b'| |tptp.'default$b'|)) A__questionmark_v2)) (|tptp.'butterfly$'| (|tptp.'ket$'| |tptp.'default$'|) (|tptp.'ket$'| |tptp.'default$'|)))) (|tptp.'regular_register$a'| A__questionmark_v0))))
% 1.08/1.31 (assume a497 (forall ((A__questionmark_v0 |tptp.'C_ell2_c_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$'|) (A__questionmark_v1 |tptp.'C_b_complement_domain_ell2_c_b_complement_domain_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$'|) (A__questionmark_v2 |tptp.'C_b_complement_domain_ell2_c_b_complement_domain_ell2_cblinfun$'|)) (=> (and (|tptp.'register$u'| A__questionmark_v0) (|tptp.'complements$ag'| A__questionmark_v0 A__questionmark_v1) (= (|tptp.'fun_app$aq'| (|tptp.'register_pair$ba'| A__questionmark_v0 A__questionmark_v1) (|tptp.'tensor_op$f'| (|tptp.'butterfly$b'| (|tptp.'ket$b'| |tptp.'default$b'|) (|tptp.'ket$b'| |tptp.'default$b'|)) A__questionmark_v2)) (|tptp.'butterfly$a'| (|tptp.'ket$a'| |tptp.'default$a'|) (|tptp.'ket$a'| |tptp.'default$a'|)))) (|tptp.'regular_register$g'| A__questionmark_v0))))
% 1.08/1.31 (assume a498 (forall ((A__questionmark_v0 |tptp.'C_ell2_c_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$'|) (A__questionmark_v1 |tptp.'C_b_complement_domain_ell2_c_b_complement_domain_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$'|) (A__questionmark_v2 |tptp.'C_b_complement_domain_ell2_c_b_complement_domain_ell2_cblinfun$'|)) (=> (and (|tptp.'register$p'| A__questionmark_v0) (|tptp.'complements$ah'| A__questionmark_v0 A__questionmark_v1) (= (|tptp.'register_pair$bb'| A__questionmark_v0 A__questionmark_v1 (|tptp.'tensor_op$f'| (|tptp.'butterfly$b'| (|tptp.'ket$b'| |tptp.'default$b'|) (|tptp.'ket$b'| |tptp.'default$b'|)) A__questionmark_v2)) (|tptp.'butterfly$b'| (|tptp.'ket$b'| |tptp.'default$b'|) (|tptp.'ket$b'| |tptp.'default$b'|)))) (|tptp.'regular_register$h'| A__questionmark_v0))))
% 1.08/1.31 (assume a499 (forall ((A__questionmark_v0 |tptp.'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'|) (A__questionmark_v1 |tptp.'A_c_prod_b_complement_domain_ell2_a_c_prod_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'|) (A__questionmark_v2 |tptp.'A_c_prod_b_complement_domain_ell2_a_c_prod_b_complement_domain_ell2_cblinfun$'|)) (=> (and (|tptp.'register$a'| A__questionmark_v0) (|tptp.'complements$s'| A__questionmark_v0 A__questionmark_v1) (= (|tptp.'fun_app$ar'| (|tptp.'register_pair$'| A__questionmark_v0 A__questionmark_v1) (|tptp.'tensor_op$u'| (|tptp.'butterfly$a'| (|tptp.'ket$a'| |tptp.'default$a'|) (|tptp.'ket$a'| |tptp.'default$a'|)) A__questionmark_v2)) (|tptp.'butterfly$'| (|tptp.'ket$'| |tptp.'default$'|) (|tptp.'ket$'| |tptp.'default$'|)))) (|tptp.'regular_register$'| A__questionmark_v0))))
% 1.08/1.31 (assume a500 (forall ((A__questionmark_v0 |tptp.'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'|) (A__questionmark_v1 |tptp.'C_a_c_prod_b_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'|) (A__questionmark_v2 |tptp.'C_a_c_prod_b_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_ell2_cblinfun$'|)) (=> (and (|tptp.'register$a'| A__questionmark_v0) (|tptp.'complements$a'| A__questionmark_v0 A__questionmark_v1) (= (|tptp.'fun_app$j'| (|tptp.'register_pair$i'| A__questionmark_v0 A__questionmark_v1) (|tptp.'tensor_op$j'| (|tptp.'butterfly$a'| (|tptp.'ket$a'| |tptp.'default$a'|) (|tptp.'ket$a'| |tptp.'default$a'|)) A__questionmark_v2)) (|tptp.'butterfly$'| (|tptp.'ket$'| |tptp.'default$'|) (|tptp.'ket$'| |tptp.'default$'|)))) (|tptp.'regular_register$'| A__questionmark_v0))))
% 1.08/1.31 (assume a501 (forall ((A__questionmark_v0 |tptp.'A_ell2_a_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$'|) (A__questionmark_v1 |tptp.'C_a_c_prod_b_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$'|) (A__questionmark_v2 |tptp.'C_a_c_prod_b_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_ell2_cblinfun$'|)) (=> (and (|tptp.'register$q'| A__questionmark_v0) (|tptp.'complements$ai'| A__questionmark_v0 A__questionmark_v1) (= (|tptp.'fun_app$as'| (|tptp.'register_pair$bc'| A__questionmark_v0 A__questionmark_v1) (|tptp.'tensor_op$j'| (|tptp.'butterfly$a'| (|tptp.'ket$a'| |tptp.'default$a'|) (|tptp.'ket$a'| |tptp.'default$a'|)) A__questionmark_v2)) (|tptp.'butterfly$a'| (|tptp.'ket$a'| |tptp.'default$a'|) (|tptp.'ket$a'| |tptp.'default$a'|)))) (|tptp.'regular_register$e'| A__questionmark_v0))))
% 1.08/1.31 (assume a502 (= (|tptp.'fun_app$c'| (|tptp.'inv_into$d'| |tptp.'top$c'| (|tptp.'register_pair$x'| |tptp.'g$'| (|tptp.'complement$f'| |tptp.'g$'|))) (|tptp.'butterfly$'| (|tptp.'ket$'| |tptp.'default$'|) (|tptp.'ket$'| |tptp.'default$'|))) (|tptp.'tensor_op$f'| (|tptp.'butterfly$b'| (|tptp.'ket$b'| |tptp.'default$b'|) (|tptp.'ket$b'| |tptp.'default$b'|)) |tptp.'aG$'|)))
% 1.08/1.31 (assume a503 (= |tptp.'t2$'| (|tptp.'fun_app$b'| (|tptp.'comp$a'| (|tptp.'inv_into$n'| |tptp.'top$g'| (|tptp.'register_tensor$i'| |tptp.'id$'| |tptp.'i$'|)) (|tptp.'inv_into$f'| |tptp.'top$d'| (|tptp.'register_pair$g'| |tptp.'f$'| (|tptp.'complement$e'| |tptp.'f$'|)))) (|tptp.'butterfly$'| (|tptp.'ket$'| |tptp.'default$'|) (|tptp.'ket$'| |tptp.'default$'|)))))
% 1.08/1.31 (assume a504 (= (|tptp.'fun_app$f'| (|tptp.'inv_into$f'| |tptp.'top$d'| (|tptp.'register_pair$g'| |tptp.'f$'| (|tptp.'complement$e'| |tptp.'f$'|))) (|tptp.'butterfly$'| (|tptp.'ket$'| |tptp.'default$'|) (|tptp.'ket$'| |tptp.'default$'|))) (|tptp.'tensor_op$c'| (|tptp.'butterfly$a'| (|tptp.'ket$a'| |tptp.'default$a'|) (|tptp.'ket$a'| |tptp.'default$a'|)) |tptp.'aF$'|)))
% 1.08/1.31 (assume a505 (|tptp.'bij_betw$o'| (|tptp.'register_tensor$i'| |tptp.'id$'| |tptp.'i$'|) |tptp.'top$g'| |tptp.'top$d'|))
% 1.08/1.31 (assume a506 (forall ((A__questionmark_v0 |tptp.'C_ell2_c_ell2_cblinfun_a_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_fun$'|) (A__questionmark_v1 |tptp.'A_c_prod_b_complement_domain_ell2_a_c_prod_b_complement_domain_ell2_cblinfun_a_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_fun$'|)) (=> (|tptp.'register$e'| (|tptp.'register_pair$q'| A__questionmark_v0 A__questionmark_v1)) (|tptp.'register$aq'| A__questionmark_v1))))
% 1.08/1.31 (assume a507 (forall ((A__questionmark_v0 |tptp.'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'|) (A__questionmark_v1 |tptp.'A_a_c_prod_b_complement_domain_prod_ell2_a_a_c_prod_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'|)) (=> (|tptp.'register$k'| (|tptp.'register_pair$d'| A__questionmark_v0 A__questionmark_v1)) (|tptp.'register$l'| A__questionmark_v1))))
% 1.08/1.31 (assume a508 (forall ((A__questionmark_v0 |tptp.'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'|) (A__questionmark_v1 |tptp.'A_c_prod_b_complement_domain_ell2_a_c_prod_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'|)) (=> (|tptp.'register$l'| (|tptp.'register_pair$'| A__questionmark_v0 A__questionmark_v1)) (|tptp.'register$h'| A__questionmark_v1))))
% 1.08/1.31 (assume a509 (forall ((A__questionmark_v0 |tptp.'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'|) (A__questionmark_v1 |tptp.'A_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'|)) (=> (|tptp.'register$m'| (|tptp.'register_pair$g'| A__questionmark_v0 A__questionmark_v1)) (|tptp.'register$d'| A__questionmark_v1))))
% 1.08/1.31 (assume a510 (forall ((A__questionmark_v0 |tptp.'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'|) (A__questionmark_v1 |tptp.'C_a_c_prod_b_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'|)) (=> (|tptp.'register$n'| (|tptp.'register_pair$i'| A__questionmark_v0 A__questionmark_v1)) (|tptp.'register$o'| A__questionmark_v1))))
% 1.08/1.31 (assume a511 (forall ((A__questionmark_v0 |tptp.'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'|) (A__questionmark_v1 |tptp.'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'|)) (=> (|tptp.'register$g'| (|tptp.'register_pair$a'| A__questionmark_v0 A__questionmark_v1)) (|tptp.'register$'| A__questionmark_v1))))
% 1.08/1.31 (assume a512 (forall ((A__questionmark_v0 |tptp.'C_ell2_c_ell2_cblinfun_a_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_fun$'|) (A__questionmark_v1 |tptp.'A_c_prod_b_complement_domain_ell2_a_c_prod_b_complement_domain_ell2_cblinfun_a_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_fun$'|)) (=> (|tptp.'register$e'| (|tptp.'register_pair$q'| A__questionmark_v0 A__questionmark_v1)) (|tptp.'register$ak'| A__questionmark_v0))))
% 1.08/1.31 (assume a513 (forall ((A__questionmark_v0 |tptp.'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'|) (A__questionmark_v1 |tptp.'A_a_c_prod_b_complement_domain_prod_ell2_a_a_c_prod_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'|)) (=> (|tptp.'register$k'| (|tptp.'register_pair$d'| A__questionmark_v0 A__questionmark_v1)) (|tptp.'register$'| A__questionmark_v0))))
% 1.08/1.31 (assume a514 (forall ((A__questionmark_v0 |tptp.'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'|) (A__questionmark_v1 |tptp.'A_c_prod_b_complement_domain_ell2_a_c_prod_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'|)) (=> (|tptp.'register$l'| (|tptp.'register_pair$'| A__questionmark_v0 A__questionmark_v1)) (|tptp.'register$a'| A__questionmark_v0))))
% 1.08/1.31 (assume a515 (forall ((A__questionmark_v0 |tptp.'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'|) (A__questionmark_v1 |tptp.'A_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'|)) (=> (|tptp.'register$m'| (|tptp.'register_pair$g'| A__questionmark_v0 A__questionmark_v1)) (|tptp.'register$a'| A__questionmark_v0))))
% 1.08/1.31 (assume a516 (forall ((A__questionmark_v0 |tptp.'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'|) (A__questionmark_v1 |tptp.'C_a_c_prod_b_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'|)) (=> (|tptp.'register$n'| (|tptp.'register_pair$i'| A__questionmark_v0 A__questionmark_v1)) (|tptp.'register$a'| A__questionmark_v0))))
% 1.08/1.31 (assume a517 (forall ((A__questionmark_v0 |tptp.'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'|) (A__questionmark_v1 |tptp.'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'|)) (=> (|tptp.'register$g'| (|tptp.'register_pair$a'| A__questionmark_v0 A__questionmark_v1)) (|tptp.'register$a'| A__questionmark_v0))))
% 1.08/1.31 (assume a518 (forall ((A__questionmark_v0 |tptp.'A_a_c_prod_b_complement_domain_prod_ell2_a_a_c_prod_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'|) (A__questionmark_v1 |tptp.'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'|)) (=> (|tptp.'compatible$am'| A__questionmark_v0 A__questionmark_v1) (= (|tptp.'comp$cn'| (|tptp.'register_pair$ab'| A__questionmark_v0 A__questionmark_v1) |tptp.'swap$'|) (|tptp.'register_pair$d'| A__questionmark_v1 A__questionmark_v0)))))
% 1.08/1.31 (assume a519 (forall ((A__questionmark_v0 |tptp.'A_c_prod_b_complement_domain_ell2_a_c_prod_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'|) (A__questionmark_v1 |tptp.'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'|)) (=> (|tptp.'compatible$ba'| A__questionmark_v0 A__questionmark_v1) (= (|tptp.'comp$co'| (|tptp.'register_pair$bd'| A__questionmark_v0 A__questionmark_v1) |tptp.'swap$a'|) (|tptp.'register_pair$'| A__questionmark_v1 A__questionmark_v0)))))
% 1.08/1.31 (assume a520 (forall ((A__questionmark_v0 |tptp.'A_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'|) (A__questionmark_v1 |tptp.'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'|)) (=> (|tptp.'compatible$j'| A__questionmark_v0 A__questionmark_v1) (= (|tptp.'comp$cp'| (|tptp.'register_pair$be'| A__questionmark_v0 A__questionmark_v1) |tptp.'swap$b'|) (|tptp.'register_pair$g'| A__questionmark_v1 A__questionmark_v0)))))
% 1.08/1.31 (assume a521 (forall ((A__questionmark_v0 |tptp.'C_a_c_prod_b_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'|) (A__questionmark_v1 |tptp.'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'|)) (=> (|tptp.'compatible$bb'| A__questionmark_v0 A__questionmark_v1) (= (|tptp.'comp$cq'| (|tptp.'register_pair$bf'| A__questionmark_v0 A__questionmark_v1) |tptp.'swap$c'|) (|tptp.'register_pair$i'| A__questionmark_v1 A__questionmark_v0)))))
% 1.08/1.31 (assume a522 (forall ((A__questionmark_v0 |tptp.'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'|) (A__questionmark_v1 |tptp.'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'|)) (=> (|tptp.'compatible$ab'| A__questionmark_v0 A__questionmark_v1) (= (|tptp.'comp$cr'| (|tptp.'register_pair$ar'| A__questionmark_v0 A__questionmark_v1) |tptp.'swap$d'|) (|tptp.'register_pair$a'| A__questionmark_v1 A__questionmark_v0)))))
% 1.08/1.31 (assume a523 (forall ((A__questionmark_v0 |tptp.'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'|) (A__questionmark_v1 |tptp.'A_a_c_prod_b_complement_domain_prod_ell2_a_a_c_prod_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'|)) (=> (|tptp.'compatible$a'| A__questionmark_v0 A__questionmark_v1) (= (|tptp.'comp$cs'| (|tptp.'register_pair$d'| A__questionmark_v0 A__questionmark_v1) |tptp.'swap$e'|) (|tptp.'register_pair$ab'| A__questionmark_v1 A__questionmark_v0)))))
% 1.08/1.31 (assume a524 (forall ((A__questionmark_v0 |tptp.'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'|) (A__questionmark_v1 |tptp.'A_c_prod_b_complement_domain_ell2_a_c_prod_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'|)) (=> (|tptp.'compatible$b'| A__questionmark_v0 A__questionmark_v1) (= (|tptp.'comp$ct'| (|tptp.'register_pair$'| A__questionmark_v0 A__questionmark_v1) |tptp.'swap$f'|) (|tptp.'register_pair$bd'| A__questionmark_v1 A__questionmark_v0)))))
% 1.08/1.31 (assume a525 (forall ((A__questionmark_v0 |tptp.'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'|) (A__questionmark_v1 |tptp.'A_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'|)) (=> (|tptp.'compatible$c'| A__questionmark_v0 A__questionmark_v1) (= (|tptp.'comp$cu'| (|tptp.'register_pair$g'| A__questionmark_v0 A__questionmark_v1) |tptp.'swap$g'|) (|tptp.'register_pair$be'| A__questionmark_v1 A__questionmark_v0)))))
% 1.08/1.31 (assume a526 (forall ((A__questionmark_v0 |tptp.'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'|) (A__questionmark_v1 |tptp.'C_a_c_prod_b_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'|)) (=> (|tptp.'compatible$d'| A__questionmark_v0 A__questionmark_v1) (= (|tptp.'comp$cv'| (|tptp.'register_pair$i'| A__questionmark_v0 A__questionmark_v1) |tptp.'swap$h'|) (|tptp.'register_pair$bf'| A__questionmark_v1 A__questionmark_v0)))))
% 1.08/1.31 (assume a527 (forall ((A__questionmark_v0 |tptp.'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'|) (A__questionmark_v1 |tptp.'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'|)) (=> (|tptp.'compatible$'| A__questionmark_v0 A__questionmark_v1) (= (|tptp.'comp$cw'| (|tptp.'register_pair$a'| A__questionmark_v0 A__questionmark_v1) |tptp.'swap$i'|) (|tptp.'register_pair$ar'| A__questionmark_v1 A__questionmark_v0)))))
% 1.08/1.31 (assume a528 (forall ((A__questionmark_v0 |tptp.'B_ell2_b_ell2_cblinfun_a_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_fun$'|) (A__questionmark_v1 |tptp.'A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_fun$'|)) (=> (and (|tptp.'register$c'| A__questionmark_v0) (|tptp.'register$b'| A__questionmark_v1)) (|tptp.'register$ar'| (|tptp.'comp$a'| A__questionmark_v1 A__questionmark_v0)))))
% 1.08/1.31 (assume a529 (forall ((A__questionmark_v0 |tptp.'C_ell2_c_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$'|) (A__questionmark_v1 |tptp.'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'|)) (=> (and (|tptp.'register$p'| A__questionmark_v0) (|tptp.'register$'| A__questionmark_v1)) (|tptp.'register$'| (|tptp.'comp$e'| A__questionmark_v1 A__questionmark_v0)))))
% 1.08/1.31 (assume a530 (forall ((A__questionmark_v0 |tptp.'A_ell2_a_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$'|) (A__questionmark_v1 |tptp.'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'|)) (=> (and (|tptp.'register$t'| A__questionmark_v0) (|tptp.'register$'| A__questionmark_v1)) (|tptp.'register$a'| (|tptp.'comp$d'| A__questionmark_v1 A__questionmark_v0)))))
% 1.08/1.31 (assume a531 (forall ((A__questionmark_v0 |tptp.'C_ell2_c_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$'|) (A__questionmark_v1 |tptp.'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'|)) (=> (and (|tptp.'register$u'| A__questionmark_v0) (|tptp.'register$a'| A__questionmark_v1)) (|tptp.'register$'| (|tptp.'comp$h'| A__questionmark_v1 A__questionmark_v0)))))
% 1.08/1.31 (assume a532 (forall ((A__questionmark_v0 |tptp.'A_ell2_a_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$'|) (A__questionmark_v1 |tptp.'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'|)) (=> (and (|tptp.'register$q'| A__questionmark_v0) (|tptp.'register$a'| A__questionmark_v1)) (|tptp.'register$a'| (|tptp.'comp$g'| A__questionmark_v1 A__questionmark_v0)))))
% 1.08/1.31 (assume a533 (forall ((A__questionmark_v0 |tptp.'C_a_c_prod_b_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_ell2_cblinfun_c_a_c_prod_b_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_ell2_cblinfun_fun$'|) (A__questionmark_v1 |tptp.'C_a_c_prod_b_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_ell2_cblinfun_a_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_fun$'|)) (=> (and (|tptp.'register$aj'| A__questionmark_v0) (|tptp.'register$e'| A__questionmark_v1)) (|tptp.'register$e'| (|tptp.'comp$an'| A__questionmark_v1 A__questionmark_v0)))))
% 1.08/1.31 (assume a534 (forall ((A__questionmark_v0 |tptp.'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'|) (A__questionmark_v1 |tptp.'B_ell2_b_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'|)) (=> (and (|tptp.'register$'| A__questionmark_v0) (|tptp.'register$j'| A__questionmark_v1)) (|tptp.'register$'| (|tptp.'comp$k'| A__questionmark_v1 A__questionmark_v0)))))
% 1.08/1.31 (assume a535 (forall ((A__questionmark_v0 |tptp.'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'|) (A__questionmark_v1 |tptp.'B_ell2_b_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'|)) (=> (and (|tptp.'register$a'| A__questionmark_v0) (|tptp.'register$j'| A__questionmark_v1)) (|tptp.'register$a'| (|tptp.'comp$j'| A__questionmark_v1 A__questionmark_v0)))))
% 1.08/1.31 (assume a536 (forall ((A__questionmark_v0 |tptp.'C_a_c_prod_b_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_ell2_cblinfun_a_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_fun$'|) (A__questionmark_v1 |tptp.'A_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'|)) (=> (and (|tptp.'register$e'| A__questionmark_v0) (|tptp.'register$d'| A__questionmark_v1)) (|tptp.'register$o'| (|tptp.'comp$'| A__questionmark_v1 A__questionmark_v0)))))
% 1.08/1.31 (assume a537 (forall ((A__questionmark_v0 |tptp.'C_a_c_prod_b_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_ell2_cblinfun_a_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_fun$'|) (A__questionmark_v1 |tptp.'A_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_a_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_fun$'|)) (=> (and (|tptp.'register$e'| A__questionmark_v0) (|tptp.'register$v'| A__questionmark_v1)) (|tptp.'register$e'| (|tptp.'comp$am'| A__questionmark_v1 A__questionmark_v0)))))
% 1.08/1.31 (assume a538 (forall ((A__questionmark_v0 |tptp.'A_ell2_a_ell2_cblinfun$'|)) (= (|tptp.'fun_app$ab'| |tptp.'id$'| A__questionmark_v0) A__questionmark_v0)))
% 1.08/1.31 (assume a539 (forall ((A__questionmark_v0 |tptp.'A_ell2_a_ell2_cblinfun_set$'|)) (|tptp.'bij_betw$y'| |tptp.'id$'| A__questionmark_v0 A__questionmark_v0)))
% 1.08/1.31 (assume a540 (forall ((A__questionmark_v0 |tptp.'A_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun$'|) (A__questionmark_v1 |tptp.'A_ell2_a_ell2_cblinfun$'|)) (= (|tptp.'fun_app$at'| |tptp.'swap$g'| (|tptp.'tensor_op$v'| A__questionmark_v0 A__questionmark_v1)) (|tptp.'tensor_op$c'| A__questionmark_v1 A__questionmark_v0))))
% 1.08/1.31 (assume a541 (forall ((A__questionmark_v0 |tptp.'C_b_complement_domain_ell2_c_b_complement_domain_ell2_cblinfun$'|) (A__questionmark_v1 |tptp.'C_ell2_c_ell2_cblinfun$'|)) (= (|tptp.'fun_app$au'| |tptp.'swap$j'| (|tptp.'tensor_op$w'| A__questionmark_v0 A__questionmark_v1)) (|tptp.'tensor_op$f'| A__questionmark_v1 A__questionmark_v0))))
% 1.08/1.31 (assume a542 (forall ((A__questionmark_v0 |tptp.'C_a_c_prod_b_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_ell2_cblinfun$'|) (A__questionmark_v1 |tptp.'A_ell2_a_ell2_cblinfun$'|)) (= (|tptp.'fun_app$av'| |tptp.'swap$h'| (|tptp.'tensor_op$x'| A__questionmark_v0 A__questionmark_v1)) (|tptp.'tensor_op$j'| A__questionmark_v1 A__questionmark_v0))))
% 1.08/1.31 (assume a543 (forall ((A__questionmark_v0 |tptp.'A_ell2_a_ell2_cblinfun$'|) (A__questionmark_v1 |tptp.'A_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun$'|)) (= (|tptp.'fun_app$aw'| |tptp.'swap$b'| (|tptp.'tensor_op$c'| A__questionmark_v0 A__questionmark_v1)) (|tptp.'tensor_op$v'| A__questionmark_v1 A__questionmark_v0))))
% 1.08/1.31 (assume a544 (forall ((A__questionmark_v0 |tptp.'C_ell2_c_ell2_cblinfun$'|) (A__questionmark_v1 |tptp.'C_b_complement_domain_ell2_c_b_complement_domain_ell2_cblinfun$'|)) (= (|tptp.'fun_app$ax'| |tptp.'swap$k'| (|tptp.'tensor_op$f'| A__questionmark_v0 A__questionmark_v1)) (|tptp.'tensor_op$w'| A__questionmark_v1 A__questionmark_v0))))
% 1.08/1.31 (assume a545 (forall ((A__questionmark_v0 |tptp.'A_ell2_a_ell2_cblinfun$'|) (A__questionmark_v1 |tptp.'C_a_c_prod_b_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_ell2_cblinfun$'|)) (= (|tptp.'fun_app$ay'| |tptp.'swap$c'| (|tptp.'tensor_op$j'| A__questionmark_v0 A__questionmark_v1)) (|tptp.'tensor_op$x'| A__questionmark_v1 A__questionmark_v0))))
% 1.08/1.31 (assume a546 (= (|tptp.'register_tensor$bq'| |tptp.'id$'| |tptp.'id$'|) |tptp.'id$a'|))
% 1.08/1.31 (assume a547 (= (|tptp.'inv_into$z'| |tptp.'top$l'| |tptp.'id$'|) |tptp.'id$'|))
% 1.08/1.31 (assume a548 (= (|tptp.'inv_into$s'| |tptp.'top$c'| |tptp.'id$b'|) |tptp.'id$b'|))
% 1.08/1.31 (assume a549 (= (|tptp.'inv_into$ag'| |tptp.'top$b'| |tptp.'id$c'|) |tptp.'id$c'|))
% 1.08/1.31 (assume a550 (= (|tptp.'inv_into$ah'| |tptp.'top$d'| |tptp.'id$d'|) |tptp.'id$d'|))
% 1.08/1.31 (assume a551 (= (|tptp.'inv_into$ai'| |tptp.'top$g'| |tptp.'id$e'|) |tptp.'id$e'|))
% 1.08/1.31 (assume a552 (= (|tptp.'inv_into$b'| |tptp.'top$a'| |tptp.'id$f'|) |tptp.'id$f'|))
% 1.08/1.31 (assume a553 (= |tptp.'t2$'| (|tptp.'tensor_op$j'| (|tptp.'butterfly$a'| (|tptp.'ket$a'| |tptp.'default$a'|) (|tptp.'ket$a'| |tptp.'default$a'|)) (|tptp.'fun_app$az'| (|tptp.'inv_into$k'| |tptp.'top$f'| |tptp.'i$'|) |tptp.'aF$'|))))
% 1.08/1.31 (assume a554 (forall ((A__questionmark_v0 |tptp.'C_a_c_prod_b_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_ell2_cblinfun_a_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_fun$'|)) (= (|tptp.'equivalent_registers$ah'| |tptp.'id$g'| A__questionmark_v0) (|tptp.'iso_register$'| A__questionmark_v0))))
% 1.08/1.31 (assume a555 (= (|tptp.'inv_into$aj'| |tptp.'top$c'| |tptp.'swap$k'|) |tptp.'swap$j'|))
% 1.08/1.31 (assume a556 (= (|tptp.'inv_into$ak'| |tptp.'top$b'| |tptp.'swap$'|) |tptp.'swap$e'|))
% 1.08/1.31 (assume a557 (= (|tptp.'inv_into$al'| |tptp.'top$d'| |tptp.'swap$b'|) |tptp.'swap$g'|))
% 1.08/1.31 (assume a558 (= (|tptp.'inv_into$am'| |tptp.'top$g'| |tptp.'swap$c'|) |tptp.'swap$h'|))
% 1.08/1.31 (assume a559 (= (|tptp.'fun_app$b'| (|tptp.'comp$a'| (|tptp.'inv_into$n'| |tptp.'top$g'| (|tptp.'register_tensor$i'| |tptp.'id$'| |tptp.'i$'|)) (|tptp.'inv_into$f'| |tptp.'top$d'| (|tptp.'register_pair$g'| |tptp.'f$'| (|tptp.'complement$e'| |tptp.'f$'|)))) (|tptp.'butterfly$'| (|tptp.'ket$'| |tptp.'default$'|) (|tptp.'ket$'| |tptp.'default$'|))) (|tptp.'tensor_op$j'| (|tptp.'butterfly$a'| (|tptp.'ket$a'| |tptp.'default$a'|) (|tptp.'ket$a'| |tptp.'default$a'|)) (|tptp.'fun_app$az'| (|tptp.'inv_into$k'| |tptp.'top$f'| |tptp.'i$'|) |tptp.'aF$'|))))
% 1.08/1.31 (assume a560 (= (|tptp.'inv_into$n'| |tptp.'top$g'| (|tptp.'register_tensor$i'| |tptp.'id$'| |tptp.'i$'|)) (|tptp.'register_tensor$h'| |tptp.'id$'| (|tptp.'inv_into$k'| |tptp.'top$f'| |tptp.'i$'|))))
% 1.08/1.31 (assume a561 (forall ((A__questionmark_v0 |tptp.'A_ell2_a_ell2_cblinfun$'|)) (= (|tptp.'fun_app$ab'| |tptp.'id$'| A__questionmark_v0) A__questionmark_v0)))
% 1.08/1.31 (assume a562 (forall ((A__questionmark_v0 |tptp.'A_ell2_a_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$'|)) (= (forall ((A__questionmark_v1 |tptp.'A_ell2_a_ell2_cblinfun$'|)) (= (|tptp.'fun_app$ab'| A__questionmark_v0 A__questionmark_v1) A__questionmark_v1)) (= A__questionmark_v0 |tptp.'id$'|))))
% 1.08/1.31 (assume a563 (|tptp.'register$q'| |tptp.'id$'|))
% 1.08/1.31 (assume a564 (forall ((A__questionmark_v0 |tptp.'A_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'|) (A__questionmark_v1 |tptp.'C_a_c_prod_b_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_ell2_cblinfun_a_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_fun$'|) (A__questionmark_v2 |tptp.'C_a_c_prod_b_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'|) (A__questionmark_v3 |tptp.'C_a_c_prod_b_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_ell2_cblinfun$'|)) (=> (= (|tptp.'comp$'| A__questionmark_v0 A__questionmark_v1) (|tptp.'comp$al'| |tptp.'id$f'| A__questionmark_v2)) (= (|tptp.'fun_app$q'| A__questionmark_v0 (|tptp.'fun_app$r'| A__questionmark_v1 A__questionmark_v3)) (|tptp.'fun_app$p'| A__questionmark_v2 A__questionmark_v3)))))
% 1.08/1.31 (assume a565 (forall ((A__questionmark_v0 |tptp.'A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_fun$'|) (A__questionmark_v1 |tptp.'B_ell2_b_ell2_cblinfun_a_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_fun$'|) (A__questionmark_v2 |tptp.'B_ell2_b_ell2_cblinfun_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_fun$'|) (A__questionmark_v3 |tptp.'B_ell2_b_ell2_cblinfun$'|)) (=> (= (|tptp.'comp$a'| A__questionmark_v0 A__questionmark_v1) (|tptp.'comp$bj'| |tptp.'id$e'| A__questionmark_v2)) (= (|tptp.'fun_app$h'| A__questionmark_v0 (|tptp.'fun_app$f'| A__questionmark_v1 A__questionmark_v3)) (|tptp.'fun_app$b'| A__questionmark_v2 A__questionmark_v3)))))
% 1.08/1.31 (assume a566 (forall ((A__questionmark_v0 |tptp.'A_ell2_a_ell2_cblinfun_set$'|) (A__questionmark_v1 |tptp.'A_ell2_a_ell2_cblinfun_set$'|)) (= (|tptp.'bij_betw$y'| |tptp.'id$'| A__questionmark_v0 A__questionmark_v1) (= A__questionmark_v0 A__questionmark_v1))))
% 1.08/1.31 (assume a567 (|tptp.'iso_register$z'| |tptp.'id$'|))
% 1.08/1.31 (assume a568 (|tptp.'bij_betw$y'| |tptp.'id$'| |tptp.'top$l'| |tptp.'top$l'|))
% 1.08/1.31 (assume a569 (|tptp.'bij_betw$k'| |tptp.'id$b'| |tptp.'top$c'| |tptp.'top$c'|))
% 1.08/1.31 (assume a570 (|tptp.'bij_betw$u'| |tptp.'id$c'| |tptp.'top$b'| |tptp.'top$b'|))
% 1.08/1.31 (assume a571 (|tptp.'bij_betw$v'| |tptp.'id$d'| |tptp.'top$d'| |tptp.'top$d'|))
% 1.08/1.31 (assume a572 (|tptp.'bij_betw$w'| |tptp.'id$e'| |tptp.'top$g'| |tptp.'top$g'|))
% 1.08/1.31 (assume a573 (|tptp.'bij_betw$a'| |tptp.'id$f'| |tptp.'top$a'| |tptp.'top$a'|))
% 1.08/1.31 (assume a574 (forall ((A__questionmark_v0 |tptp.'A_ell2_a_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$'|) (A__questionmark_v1 |tptp.'A_ell2_a_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$'|)) (=> (and (= (|tptp.'comp$bv'| A__questionmark_v0 A__questionmark_v1) |tptp.'id$'|) (= (|tptp.'comp$bv'| A__questionmark_v1 A__questionmark_v0) |tptp.'id$'|)) (= (|tptp.'inv_into$z'| |tptp.'top$l'| A__questionmark_v0) A__questionmark_v1))))
% 1.08/1.31 (assume a575 (forall ((A__questionmark_v0 |tptp.'B_ell2_b_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$'|) (A__questionmark_v1 |tptp.'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'|)) (=> (and (= (|tptp.'comp$br'| A__questionmark_v0 A__questionmark_v1) |tptp.'id$'|) (= (|tptp.'comp$cx'| A__questionmark_v1 A__questionmark_v0) |tptp.'id$f'|)) (= (|tptp.'inv_into$an'| |tptp.'top$a'| A__questionmark_v0) A__questionmark_v1))))
% 1.08/1.31 (assume a576 (forall ((A__questionmark_v0 |tptp.'C_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$'|) (A__questionmark_v1 |tptp.'A_ell2_a_ell2_cblinfun_c_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_fun$'|)) (=> (and (= (|tptp.'comp$cy'| A__questionmark_v0 A__questionmark_v1) |tptp.'id$'|) (= (|tptp.'comp$cz'| A__questionmark_v1 A__questionmark_v0) |tptp.'id$b'|)) (= (|tptp.'inv_into$ao'| |tptp.'top$c'| A__questionmark_v0) A__questionmark_v1))))
% 1.08/1.31 (assume a577 (forall ((A__questionmark_v0 |tptp.'C_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'|) (A__questionmark_v1 |tptp.'B_ell2_b_ell2_cblinfun_c_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_fun$'|)) (=> (and (= (|tptp.'comp$ab'| A__questionmark_v0 A__questionmark_v1) |tptp.'id$f'|) (= (|tptp.'comp$da'| A__questionmark_v1 A__questionmark_v0) |tptp.'id$b'|)) (= (|tptp.'inv_into$d'| |tptp.'top$c'| A__questionmark_v0) A__questionmark_v1))))
% 1.08/1.31 (assume a578 (forall ((A__questionmark_v0 |tptp.'A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$'|) (A__questionmark_v1 |tptp.'A_ell2_a_ell2_cblinfun_a_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_fun$'|)) (=> (and (= (|tptp.'comp$db'| A__questionmark_v0 A__questionmark_v1) |tptp.'id$'|) (= (|tptp.'comp$dc'| A__questionmark_v1 A__questionmark_v0) |tptp.'id$d'|)) (= (|tptp.'inv_into$ap'| |tptp.'top$d'| A__questionmark_v0) A__questionmark_v1))))
% 1.08/1.31 (assume a579 (forall ((A__questionmark_v0 |tptp.'A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'|) (A__questionmark_v1 |tptp.'B_ell2_b_ell2_cblinfun_a_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_fun$'|)) (=> (and (= (|tptp.'comp$ac'| A__questionmark_v0 A__questionmark_v1) |tptp.'id$f'|) (= (|tptp.'comp$dd'| A__questionmark_v1 A__questionmark_v0) |tptp.'id$d'|)) (= (|tptp.'inv_into$f'| |tptp.'top$d'| A__questionmark_v0) A__questionmark_v1))))
% 1.08/1.31 (assume a580 (forall ((A__questionmark_v0 |tptp.'C_a_a_c_prod_b_complement_domain_prod_prod_ell2_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$'|) (A__questionmark_v1 |tptp.'A_ell2_a_ell2_cblinfun_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_fun$'|)) (=> (and (= (|tptp.'comp$de'| A__questionmark_v0 A__questionmark_v1) |tptp.'id$'|) (= (|tptp.'comp$df'| A__questionmark_v1 A__questionmark_v0) |tptp.'id$c'|)) (= (|tptp.'inv_into$aq'| |tptp.'top$b'| A__questionmark_v0) A__questionmark_v1))))
% 1.08/1.31 (assume a581 (forall ((A__questionmark_v0 |tptp.'C_a_a_c_prod_b_complement_domain_prod_prod_ell2_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'|) (A__questionmark_v1 |tptp.'B_ell2_b_ell2_cblinfun_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_fun$'|)) (=> (and (= (|tptp.'comp$dg'| A__questionmark_v0 A__questionmark_v1) |tptp.'id$f'|) (= (|tptp.'comp$dh'| A__questionmark_v1 A__questionmark_v0) |tptp.'id$c'|)) (= (|tptp.'inv_into$'| |tptp.'top$b'| A__questionmark_v0) A__questionmark_v1))))
% 1.08/1.31 (assume a582 (forall ((A__questionmark_v0 |tptp.'A_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$'|) (A__questionmark_v1 |tptp.'A_ell2_a_ell2_cblinfun_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_fun$'|)) (=> (and (= (|tptp.'comp$di'| A__questionmark_v0 A__questionmark_v1) |tptp.'id$'|) (= (|tptp.'comp$dj'| A__questionmark_v1 A__questionmark_v0) |tptp.'id$e'|)) (= (|tptp.'inv_into$ar'| |tptp.'top$g'| A__questionmark_v0) A__questionmark_v1))))
% 1.08/1.31 (assume a583 (forall ((A__questionmark_v0 |tptp.'A_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'|) (A__questionmark_v1 |tptp.'B_ell2_b_ell2_cblinfun_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_fun$'|)) (=> (and (= (|tptp.'comp$dk'| A__questionmark_v0 A__questionmark_v1) |tptp.'id$f'|) (= (|tptp.'comp$dl'| A__questionmark_v1 A__questionmark_v0) |tptp.'id$e'|)) (= (|tptp.'inv_into$o'| |tptp.'top$g'| A__questionmark_v0) A__questionmark_v1))))
% 1.08/1.31 (assume a584 (forall ((A__questionmark_v0 |tptp.'A_ell2_a_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$'|)) (= (|tptp.'iso_register$z'| A__questionmark_v0) (and (|tptp.'register$q'| A__questionmark_v0) (exists ((A__questionmark_v1 |tptp.'A_ell2_a_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$'|)) (and (|tptp.'register$q'| A__questionmark_v1) (= (|tptp.'comp$bv'| A__questionmark_v0 A__questionmark_v1) |tptp.'id$'|) (= (|tptp.'comp$bv'| A__questionmark_v1 A__questionmark_v0) |tptp.'id$'|)))))))
% 1.08/1.31 (assume a585 (forall ((A__questionmark_v0 |tptp.'B_ell2_b_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$'|)) (= (|tptp.'iso_register$ab'| A__questionmark_v0) (and (|tptp.'register$s'| A__questionmark_v0) (exists ((A__questionmark_v1 |tptp.'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'|)) (and (|tptp.'register$'| A__questionmark_v1) (= (|tptp.'comp$dm'| A__questionmark_v0 A__questionmark_v1) |tptp.'id$h'|) (= (|tptp.'comp$dn'| A__questionmark_v1 A__questionmark_v0) |tptp.'id$f'|)))))))
% 1.08/1.31 (assume a586 (forall ((A__questionmark_v0 |tptp.'B_ell2_b_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$'|)) (= (|tptp.'iso_register$ac'| A__questionmark_v0) (and (|tptp.'register$r'| A__questionmark_v0) (exists ((A__questionmark_v1 |tptp.'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'|)) (and (|tptp.'register$a'| A__questionmark_v1) (= (|tptp.'comp$br'| A__questionmark_v0 A__questionmark_v1) |tptp.'id$'|) (= (|tptp.'comp$cx'| A__questionmark_v1 A__questionmark_v0) |tptp.'id$f'|)))))))
% 1.08/1.31 (assume a587 (forall ((A__questionmark_v0 |tptp.'A_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_c_a_c_prod_b_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_ell2_cblinfun_fun$'|)) (= (|tptp.'iso_register$s'| A__questionmark_v0) (and (|tptp.'register$as'| A__questionmark_v0) (exists ((A__questionmark_v1 |tptp.'C_a_c_prod_b_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_ell2_cblinfun_a_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_fun$'|)) (and (|tptp.'register$e'| A__questionmark_v1) (= (|tptp.'comp$do'| A__questionmark_v0 A__questionmark_v1) |tptp.'id$i'|) (= (|tptp.'comp$dp'| A__questionmark_v1 A__questionmark_v0) |tptp.'id$g'|)))))))
% 1.08/1.31 (assume a588 (forall ((A__questionmark_v0 |tptp.'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'|)) (= (|tptp.'iso_register$t'| A__questionmark_v0) (and (|tptp.'register$'| A__questionmark_v0) (exists ((A__questionmark_v1 |tptp.'B_ell2_b_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$'|)) (and (|tptp.'register$s'| A__questionmark_v1) (= (|tptp.'comp$dn'| A__questionmark_v0 A__questionmark_v1) |tptp.'id$f'|) (= (|tptp.'comp$dm'| A__questionmark_v1 A__questionmark_v0) |tptp.'id$h'|)))))))
% 1.08/1.31 (assume a589 (forall ((A__questionmark_v0 |tptp.'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'|)) (= (|tptp.'iso_register$u'| A__questionmark_v0) (and (|tptp.'register$a'| A__questionmark_v0) (exists ((A__questionmark_v1 |tptp.'B_ell2_b_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$'|)) (and (|tptp.'register$r'| A__questionmark_v1) (= (|tptp.'comp$cx'| A__questionmark_v0 A__questionmark_v1) |tptp.'id$f'|) (= (|tptp.'comp$br'| A__questionmark_v1 A__questionmark_v0) |tptp.'id$'|)))))))
% 1.08/1.31 (assume a590 (forall ((A__questionmark_v0 |tptp.'C_a_c_prod_b_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_ell2_cblinfun_a_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_fun$'|)) (= (|tptp.'iso_register$'| A__questionmark_v0) (and (|tptp.'register$e'| A__questionmark_v0) (exists ((A__questionmark_v1 |tptp.'A_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_c_a_c_prod_b_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_ell2_cblinfun_fun$'|)) (and (|tptp.'register$as'| A__questionmark_v1) (= (|tptp.'comp$dp'| A__questionmark_v0 A__questionmark_v1) |tptp.'id$g'|) (= (|tptp.'comp$do'| A__questionmark_v1 A__questionmark_v0) |tptp.'id$i'|)))))))
% 1.08/1.31 (assume a591 (forall ((A__questionmark_v0 |tptp.'A_ell2_a_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$'|) (A__questionmark_v1 |tptp.'A_ell2_a_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$'|)) (=> (and (|tptp.'register$q'| A__questionmark_v0) (|tptp.'register$q'| A__questionmark_v1) (= (|tptp.'comp$bv'| A__questionmark_v0 A__questionmark_v1) |tptp.'id$'|) (= (|tptp.'comp$bv'| A__questionmark_v1 A__questionmark_v0) |tptp.'id$'|)) (|tptp.'iso_register$z'| A__questionmark_v0))))
% 1.08/1.31 (assume a592 (forall ((A__questionmark_v0 |tptp.'B_ell2_b_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$'|) (A__questionmark_v1 |tptp.'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'|)) (=> (and (|tptp.'register$s'| A__questionmark_v0) (|tptp.'register$'| A__questionmark_v1) (= (|tptp.'comp$dm'| A__questionmark_v0 A__questionmark_v1) |tptp.'id$h'|) (= (|tptp.'comp$dn'| A__questionmark_v1 A__questionmark_v0) |tptp.'id$f'|)) (|tptp.'iso_register$ab'| A__questionmark_v0))))
% 1.08/1.31 (assume a593 (forall ((A__questionmark_v0 |tptp.'B_ell2_b_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$'|) (A__questionmark_v1 |tptp.'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'|)) (=> (and (|tptp.'register$r'| A__questionmark_v0) (|tptp.'register$a'| A__questionmark_v1) (= (|tptp.'comp$br'| A__questionmark_v0 A__questionmark_v1) |tptp.'id$'|) (= (|tptp.'comp$cx'| A__questionmark_v1 A__questionmark_v0) |tptp.'id$f'|)) (|tptp.'iso_register$ac'| A__questionmark_v0))))
% 1.08/1.31 (assume a594 (forall ((A__questionmark_v0 |tptp.'A_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_c_a_c_prod_b_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_ell2_cblinfun_fun$'|) (A__questionmark_v1 |tptp.'C_a_c_prod_b_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_ell2_cblinfun_a_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_fun$'|)) (=> (and (|tptp.'register$as'| A__questionmark_v0) (|tptp.'register$e'| A__questionmark_v1) (= (|tptp.'comp$do'| A__questionmark_v0 A__questionmark_v1) |tptp.'id$i'|) (= (|tptp.'comp$dp'| A__questionmark_v1 A__questionmark_v0) |tptp.'id$g'|)) (|tptp.'iso_register$s'| A__questionmark_v0))))
% 1.08/1.31 (assume a595 (forall ((A__questionmark_v0 |tptp.'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'|) (A__questionmark_v1 |tptp.'B_ell2_b_ell2_cblinfun_c_ell2_c_ell2_cblinfun_fun$'|)) (=> (and (|tptp.'register$'| A__questionmark_v0) (|tptp.'register$s'| A__questionmark_v1) (= (|tptp.'comp$dn'| A__questionmark_v0 A__questionmark_v1) |tptp.'id$f'|) (= (|tptp.'comp$dm'| A__questionmark_v1 A__questionmark_v0) |tptp.'id$h'|)) (|tptp.'iso_register$t'| A__questionmark_v0))))
% 1.08/1.31 (assume a596 (forall ((A__questionmark_v0 |tptp.'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'|) (A__questionmark_v1 |tptp.'B_ell2_b_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$'|)) (=> (and (|tptp.'register$a'| A__questionmark_v0) (|tptp.'register$r'| A__questionmark_v1) (= (|tptp.'comp$cx'| A__questionmark_v0 A__questionmark_v1) |tptp.'id$f'|) (= (|tptp.'comp$br'| A__questionmark_v1 A__questionmark_v0) |tptp.'id$'|)) (|tptp.'iso_register$u'| A__questionmark_v0))))
% 1.08/1.31 (assume a597 (forall ((A__questionmark_v0 |tptp.'C_a_c_prod_b_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_ell2_cblinfun_a_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_fun$'|) (A__questionmark_v1 |tptp.'A_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_c_a_c_prod_b_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_ell2_cblinfun_fun$'|)) (=> (and (|tptp.'register$e'| A__questionmark_v0) (|tptp.'register$as'| A__questionmark_v1) (= (|tptp.'comp$dp'| A__questionmark_v0 A__questionmark_v1) |tptp.'id$g'|) (= (|tptp.'comp$do'| A__questionmark_v1 A__questionmark_v0) |tptp.'id$i'|)) (|tptp.'iso_register$'| A__questionmark_v0))))
% 1.08/1.31 (assume a598 (forall ((A__questionmark_v0 |tptp.'B_ell2_b_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$'|)) (=> (|tptp.'iso_register$ac'| A__questionmark_v0) (= (|tptp.'comp$br'| A__questionmark_v0 (|tptp.'inv_into$an'| |tptp.'top$a'| A__questionmark_v0)) |tptp.'id$'|))))
% 1.08/1.31 (assume a599 (forall ((A__questionmark_v0 |tptp.'C_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$'|)) (=> (|tptp.'iso_register$ad'| A__questionmark_v0) (= (|tptp.'comp$cy'| A__questionmark_v0 (|tptp.'inv_into$ao'| |tptp.'top$c'| A__questionmark_v0)) |tptp.'id$'|))))
% 1.08/1.31 (assume a600 (forall ((A__questionmark_v0 |tptp.'C_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'|)) (=> (|tptp.'iso_register$g'| A__questionmark_v0) (= (|tptp.'comp$ab'| A__questionmark_v0 (|tptp.'inv_into$d'| |tptp.'top$c'| A__questionmark_v0)) |tptp.'id$f'|))))
% 1.08/1.31 (assume a601 (forall ((A__questionmark_v0 |tptp.'A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$'|)) (=> (|tptp.'iso_register$ae'| A__questionmark_v0) (= (|tptp.'comp$db'| A__questionmark_v0 (|tptp.'inv_into$ap'| |tptp.'top$d'| A__questionmark_v0)) |tptp.'id$'|))))
% 1.08/1.31 (assume a602 (forall ((A__questionmark_v0 |tptp.'A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'|)) (=> (|tptp.'iso_register$b'| A__questionmark_v0) (= (|tptp.'comp$ac'| A__questionmark_v0 (|tptp.'inv_into$f'| |tptp.'top$d'| A__questionmark_v0)) |tptp.'id$f'|))))
% 1.08/1.31 (assume a603 (forall ((A__questionmark_v0 |tptp.'C_a_a_c_prod_b_complement_domain_prod_prod_ell2_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$'|)) (=> (|tptp.'iso_register$af'| A__questionmark_v0) (= (|tptp.'comp$de'| A__questionmark_v0 (|tptp.'inv_into$aq'| |tptp.'top$b'| A__questionmark_v0)) |tptp.'id$'|))))
% 1.08/1.31 (assume a604 (forall ((A__questionmark_v0 |tptp.'C_a_a_c_prod_b_complement_domain_prod_prod_ell2_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'|)) (=> (|tptp.'iso_register$d'| A__questionmark_v0) (= (|tptp.'comp$dg'| A__questionmark_v0 (|tptp.'inv_into$'| |tptp.'top$b'| A__questionmark_v0)) |tptp.'id$f'|))))
% 1.08/1.31 (assume a605 (forall ((A__questionmark_v0 |tptp.'A_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$'|)) (=> (|tptp.'iso_register$ag'| A__questionmark_v0) (= (|tptp.'comp$di'| A__questionmark_v0 (|tptp.'inv_into$ar'| |tptp.'top$g'| A__questionmark_v0)) |tptp.'id$'|))))
% 1.08/1.31 (assume a606 (forall ((A__questionmark_v0 |tptp.'A_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'|)) (=> (|tptp.'iso_register$e'| A__questionmark_v0) (= (|tptp.'comp$dk'| A__questionmark_v0 (|tptp.'inv_into$o'| |tptp.'top$g'| A__questionmark_v0)) |tptp.'id$f'|))))
% 1.08/1.31 (assume a607 (forall ((A__questionmark_v0 |tptp.'C_a_c_prod_b_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_ell2_cblinfun_a_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_fun$'|)) (=> (|tptp.'iso_register$'| A__questionmark_v0) (= (|tptp.'comp$dp'| A__questionmark_v0 (|tptp.'inv_into$k'| |tptp.'top$f'| A__questionmark_v0)) |tptp.'id$g'|))))
% 1.08/1.31 (assume a608 (forall ((A__questionmark_v0 |tptp.'C_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'|)) (=> (|tptp.'iso_register$g'| A__questionmark_v0) (= (|tptp.'comp$da'| (|tptp.'inv_into$d'| |tptp.'top$c'| A__questionmark_v0) A__questionmark_v0) |tptp.'id$b'|))))
% 1.08/1.31 (assume a609 (forall ((A__questionmark_v0 |tptp.'C_a_a_c_prod_b_complement_domain_prod_prod_ell2_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'|)) (=> (|tptp.'iso_register$d'| A__questionmark_v0) (= (|tptp.'comp$dh'| (|tptp.'inv_into$'| |tptp.'top$b'| A__questionmark_v0) A__questionmark_v0) |tptp.'id$c'|))))
% 1.08/1.31 (assume a610 (forall ((A__questionmark_v0 |tptp.'A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'|)) (=> (|tptp.'iso_register$b'| A__questionmark_v0) (= (|tptp.'comp$dd'| (|tptp.'inv_into$f'| |tptp.'top$d'| A__questionmark_v0) A__questionmark_v0) |tptp.'id$d'|))))
% 1.08/1.31 (assume a611 (forall ((A__questionmark_v0 |tptp.'A_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_a_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_fun$'|)) (=> (|tptp.'iso_register$p'| A__questionmark_v0) (= (|tptp.'comp$dq'| (|tptp.'inv_into$n'| |tptp.'top$g'| A__questionmark_v0) A__questionmark_v0) |tptp.'id$e'|))))
% 1.08/1.31 (assume a612 (forall ((A__questionmark_v0 |tptp.'A_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'|)) (=> (|tptp.'iso_register$e'| A__questionmark_v0) (= (|tptp.'comp$dl'| (|tptp.'inv_into$o'| |tptp.'top$g'| A__questionmark_v0) A__questionmark_v0) |tptp.'id$e'|))))
% 1.08/1.31 (assume a613 (forall ((A__questionmark_v0 |tptp.'C_a_c_prod_b_complement_domain_prod_ell2_c_a_c_prod_b_complement_domain_prod_ell2_cblinfun_a_b_complement_domain_ell2_a_b_complement_domain_ell2_cblinfun_fun$'|)) (=> (|tptp.'iso_register$'| A__questionmark_v0) (= (|tptp.'comp$do'| (|tptp.'inv_into$k'| |tptp.'top$f'| A__questionmark_v0) A__questionmark_v0) |tptp.'id$i'|))))
% 1.08/1.31 (assume a614 (forall ((A__questionmark_v0 |tptp.'A_ell2_a_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$'|) (A__questionmark_v1 |tptp.'A_ell2_a_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$'|)) (=> (and (= (|tptp.'comp$bv'| A__questionmark_v0 A__questionmark_v1) |tptp.'id$'|) (= (|tptp.'comp$bv'| A__questionmark_v1 A__questionmark_v0) |tptp.'id$'|)) (|tptp.'bij_betw$y'| A__questionmark_v1 |tptp.'top$l'| |tptp.'top$l'|))))
% 1.08/1.31 (assume a615 (forall ((A__questionmark_v0 |tptp.'B_ell2_b_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$'|) (A__questionmark_v1 |tptp.'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'|)) (=> (and (= (|tptp.'comp$br'| A__questionmark_v0 A__questionmark_v1) |tptp.'id$'|) (= (|tptp.'comp$cx'| A__questionmark_v1 A__questionmark_v0) |tptp.'id$f'|)) (|tptp.'bij_betw$z'| A__questionmark_v1 |tptp.'top$l'| |tptp.'top$a'|))))
% 1.08/1.31 (assume a616 (forall ((A__questionmark_v0 |tptp.'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'|) (A__questionmark_v1 |tptp.'B_ell2_b_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$'|)) (=> (and (= (|tptp.'comp$cx'| A__questionmark_v0 A__questionmark_v1) |tptp.'id$f'|) (= (|tptp.'comp$br'| A__questionmark_v1 A__questionmark_v0) |tptp.'id$'|)) (|tptp.'bij_betw$aa'| A__questionmark_v1 |tptp.'top$a'| |tptp.'top$l'|))))
% 1.08/1.31 (assume a617 (forall ((A__questionmark_v0 |tptp.'B_ell2_b_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'|) (A__questionmark_v1 |tptp.'B_ell2_b_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'|)) (=> (and (= (|tptp.'comp$aa'| A__questionmark_v0 A__questionmark_v1) |tptp.'id$f'|) (= (|tptp.'comp$aa'| A__questionmark_v1 A__questionmark_v0) |tptp.'id$f'|)) (|tptp.'bij_betw$a'| A__questionmark_v1 |tptp.'top$a'| |tptp.'top$a'|))))
% 1.08/1.31 (assume a618 (forall ((A__questionmark_v0 |tptp.'C_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$'|) (A__questionmark_v1 |tptp.'A_ell2_a_ell2_cblinfun_c_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_fun$'|)) (=> (and (= (|tptp.'comp$cy'| A__questionmark_v0 A__questionmark_v1) |tptp.'id$'|) (= (|tptp.'comp$cz'| A__questionmark_v1 A__questionmark_v0) |tptp.'id$b'|)) (|tptp.'bij_betw$ab'| A__questionmark_v1 |tptp.'top$l'| |tptp.'top$c'|))))
% 1.08/1.31 (assume a619 (forall ((A__questionmark_v0 |tptp.'A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$'|) (A__questionmark_v1 |tptp.'A_ell2_a_ell2_cblinfun_a_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_fun$'|)) (=> (and (= (|tptp.'comp$db'| A__questionmark_v0 A__questionmark_v1) |tptp.'id$'|) (= (|tptp.'comp$dc'| A__questionmark_v1 A__questionmark_v0) |tptp.'id$d'|)) (|tptp.'bij_betw$ac'| A__questionmark_v1 |tptp.'top$l'| |tptp.'top$d'|))))
% 1.08/1.31 (assume a620 (forall ((A__questionmark_v0 |tptp.'A_ell2_a_ell2_cblinfun_c_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_fun$'|) (A__questionmark_v1 |tptp.'C_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$'|)) (=> (and (= (|tptp.'comp$cz'| A__questionmark_v0 A__questionmark_v1) |tptp.'id$b'|) (= (|tptp.'comp$cy'| A__questionmark_v1 A__questionmark_v0) |tptp.'id$'|)) (|tptp.'bij_betw$ad'| A__questionmark_v1 |tptp.'top$c'| |tptp.'top$l'|))))
% 1.08/1.31 (assume a621 (forall ((A__questionmark_v0 |tptp.'B_ell2_b_ell2_cblinfun_c_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_fun$'|) (A__questionmark_v1 |tptp.'C_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'|)) (=> (and (= (|tptp.'comp$da'| A__questionmark_v0 A__questionmark_v1) |tptp.'id$b'|) (= (|tptp.'comp$ab'| A__questionmark_v1 A__questionmark_v0) |tptp.'id$f'|)) (|tptp.'bij_betw$b'| A__questionmark_v1 |tptp.'top$c'| |tptp.'top$a'|))))
% 1.08/1.31 (assume a622 (forall ((A__questionmark_v0 |tptp.'A_ell2_a_ell2_cblinfun_a_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_fun$'|) (A__questionmark_v1 |tptp.'A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$'|)) (=> (and (= (|tptp.'comp$dc'| A__questionmark_v0 A__questionmark_v1) |tptp.'id$d'|) (= (|tptp.'comp$db'| A__questionmark_v1 A__questionmark_v0) |tptp.'id$'|)) (|tptp.'bij_betw$ae'| A__questionmark_v1 |tptp.'top$d'| |tptp.'top$l'|))))
% 1.08/1.31 (assume a623 (forall ((A__questionmark_v0 |tptp.'B_ell2_b_ell2_cblinfun_a_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_fun$'|) (A__questionmark_v1 |tptp.'A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'|)) (=> (and (= (|tptp.'comp$dd'| A__questionmark_v0 A__questionmark_v1) |tptp.'id$d'|) (= (|tptp.'comp$ac'| A__questionmark_v1 A__questionmark_v0) |tptp.'id$f'|)) (|tptp.'bij_betw$d'| A__questionmark_v1 |tptp.'top$d'| |tptp.'top$a'|))))
% 1.08/1.31 (assume a624 (forall ((A__questionmark_v0 |tptp.'C_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun$'|)) (= (|tptp.'fun_app$ba'| |tptp.'top$q'| A__questionmark_v0) (|tptp.'member$c'| A__questionmark_v0 |tptp.'top$c'|))))
% 1.08/1.31 (assume a625 (forall ((A__questionmark_v0 |tptp.'C_a_a_c_prod_b_complement_domain_prod_prod_ell2_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun$'|)) (= (|tptp.'fun_app$bb'| |tptp.'top$r'| A__questionmark_v0) (|tptp.'member$d'| A__questionmark_v0 |tptp.'top$b'|))))
% 1.08/1.31 (assume a626 (forall ((A__questionmark_v0 |tptp.'A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun$'|)) (= (|tptp.'fun_app$bc'| |tptp.'top$s'| A__questionmark_v0) (|tptp.'member$a'| A__questionmark_v0 |tptp.'top$d'|))))
% 1.08/1.31 (assume a627 (forall ((A__questionmark_v0 |tptp.'A_c_a_c_prod_b_complement_domain_prod_prod_ell2_a_c_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun$'|)) (= (|tptp.'fun_app$bd'| |tptp.'top$t'| A__questionmark_v0) (|tptp.'member$e'| A__questionmark_v0 |tptp.'top$g'|))))
% 1.08/1.31 (assume a628 (forall ((A__questionmark_v0 |tptp.'B_ell2_b_ell2_cblinfun$'|)) (= (|tptp.'fun_app$be'| |tptp.'top$u'| A__questionmark_v0) (|tptp.'member$'| A__questionmark_v0 |tptp.'top$a'|))))
% 1.08/1.31 (assume a629 (forall ((A__questionmark_v0 |tptp.'B_ell2_b_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'|)) (=> (and (forall ((A__questionmark_v1 |tptp.'B_ell2_b_ell2_cblinfun$'|) (A__questionmark_v2 |tptp.'B_ell2_b_ell2_cblinfun$'|)) (= (= (|tptp.'fun_app$l'| A__questionmark_v0 A__questionmark_v1) (|tptp.'fun_app$l'| A__questionmark_v0 A__questionmark_v2)) (= A__questionmark_v1 A__questionmark_v2))) (forall ((A__questionmark_v1 |tptp.'B_ell2_b_ell2_cblinfun$'|)) (exists ((A__questionmark_v2 |tptp.'B_ell2_b_ell2_cblinfun$'|)) (= A__questionmark_v1 (|tptp.'fun_app$l'| A__questionmark_v0 A__questionmark_v2))))) (|tptp.'bij_betw$a'| A__questionmark_v0 |tptp.'top$a'| |tptp.'top$a'|))))
% 1.08/1.31 (assume a630 (forall ((A__questionmark_v0 |tptp.'C_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'|)) (=> (and (forall ((A__questionmark_v1 |tptp.'C_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun$'|) (A__questionmark_v2 |tptp.'C_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun$'|)) (= (= (|tptp.'fun_app$d'| A__questionmark_v0 A__questionmark_v1) (|tptp.'fun_app$d'| A__questionmark_v0 A__questionmark_v2)) (= A__questionmark_v1 A__questionmark_v2))) (forall ((A__questionmark_v1 |tptp.'B_ell2_b_ell2_cblinfun$'|)) (exists ((A__questionmark_v2 |tptp.'C_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun$'|)) (= A__questionmark_v1 (|tptp.'fun_app$d'| A__questionmark_v0 A__questionmark_v2))))) (|tptp.'bij_betw$b'| A__questionmark_v0 |tptp.'top$c'| |tptp.'top$a'|))))
% 1.08/1.31 (assume a631 (forall ((A__questionmark_v0 |tptp.'A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'|)) (=> (and (forall ((A__questionmark_v1 |tptp.'A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun$'|) (A__questionmark_v2 |tptp.'A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun$'|)) (= (= (|tptp.'fun_app$g'| A__questionmark_v0 A__questionmark_v1) (|tptp.'fun_app$g'| A__questionmark_v0 A__questionmark_v2)) (= A__questionmark_v1 A__questionmark_v2))) (forall ((A__questionmark_v1 |tptp.'B_ell2_b_ell2_cblinfun$'|)) (exists ((A__questionmark_v2 |tptp.'A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun$'|)) (= A__questionmark_v1 (|tptp.'fun_app$g'| A__questionmark_v0 A__questionmark_v2))))) (|tptp.'bij_betw$d'| A__questionmark_v0 |tptp.'top$d'| |tptp.'top$a'|))))
% 1.08/1.31 (assume a632 (forall ((A__questionmark_v0 |tptp.'B_ell2_b_ell2_cblinfun_c_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_fun$'|)) (=> (and (forall ((A__questionmark_v1 |tptp.'B_ell2_b_ell2_cblinfun$'|) (A__questionmark_v2 |tptp.'B_ell2_b_ell2_cblinfun$'|)) (= (= (|tptp.'fun_app$c'| A__questionmark_v0 A__questionmark_v1) (|tptp.'fun_app$c'| A__questionmark_v0 A__questionmark_v2)) (= A__questionmark_v1 A__questionmark_v2))) (forall ((A__questionmark_v1 |tptp.'C_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun$'|)) (exists ((A__questionmark_v2 |tptp.'B_ell2_b_ell2_cblinfun$'|)) (= A__questionmark_v1 (|tptp.'fun_app$c'| A__questionmark_v0 A__questionmark_v2))))) (|tptp.'bij_betw$c'| A__questionmark_v0 |tptp.'top$a'| |tptp.'top$c'|))))
% 1.08/1.31 (assume a633 (forall ((A__questionmark_v0 |tptp.'B_ell2_b_ell2_cblinfun_a_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_fun$'|)) (=> (and (forall ((A__questionmark_v1 |tptp.'B_ell2_b_ell2_cblinfun$'|) (A__questionmark_v2 |tptp.'B_ell2_b_ell2_cblinfun$'|)) (= (= (|tptp.'fun_app$f'| A__questionmark_v0 A__questionmark_v1) (|tptp.'fun_app$f'| A__questionmark_v0 A__questionmark_v2)) (= A__questionmark_v1 A__questionmark_v2))) (forall ((A__questionmark_v1 |tptp.'A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun$'|)) (exists ((A__questionmark_v2 |tptp.'B_ell2_b_ell2_cblinfun$'|)) (= A__questionmark_v1 (|tptp.'fun_app$f'| A__questionmark_v0 A__questionmark_v2))))) (|tptp.'bij_betw$e'| A__questionmark_v0 |tptp.'top$a'| |tptp.'top$d'|))))
% 1.08/1.31 (assume a634 (forall ((A__questionmark_v0 |tptp.'A_c_prod_a_c_prod_b_complement_domain_prod_ell2_a_c_prod_a_c_prod_b_complement_domain_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'|)) (=> (and (forall ((A__questionmark_v1 |tptp.'A_c_prod_a_c_prod_b_complement_domain_prod_ell2_a_c_prod_a_c_prod_b_complement_domain_prod_ell2_cblinfun$'|) (A__questionmark_v2 |tptp.'A_c_prod_a_c_prod_b_complement_domain_prod_ell2_a_c_prod_a_c_prod_b_complement_domain_prod_ell2_cblinfun$'|)) (= (= (|tptp.'fun_app$k'| A__questionmark_v0 A__questionmark_v1) (|tptp.'fun_app$k'| A__questionmark_v0 A__questionmark_v2)) (= A__questionmark_v1 A__questionmark_v2))) (forall ((A__questionmark_v1 |tptp.'B_ell2_b_ell2_cblinfun$'|)) (exists ((A__questionmark_v2 |tptp.'A_c_prod_a_c_prod_b_complement_domain_prod_ell2_a_c_prod_a_c_prod_b_complement_domain_prod_ell2_cblinfun$'|)) (= A__questionmark_v1 (|tptp.'fun_app$k'| A__questionmark_v0 A__questionmark_v2))))) (|tptp.'bij_betw$'| A__questionmark_v0 |tptp.'top$'| |tptp.'top$a'|))))
% 1.08/1.31 (assume a635 (forall ((A__questionmark_v0 |tptp.'C_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_c_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_fun$'|)) (=> (and (forall ((A__questionmark_v1 |tptp.'C_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun$'|) (A__questionmark_v2 |tptp.'C_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun$'|)) (= (= (|tptp.'fun_app$m'| A__questionmark_v0 A__questionmark_v1) (|tptp.'fun_app$m'| A__questionmark_v0 A__questionmark_v2)) (= A__questionmark_v1 A__questionmark_v2))) (forall ((A__questionmark_v1 |tptp.'C_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun$'|)) (exists ((A__questionmark_v2 |tptp.'C_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun$'|)) (= A__questionmark_v1 (|tptp.'fun_app$m'| A__questionmark_v0 A__questionmark_v2))))) (|tptp.'bij_betw$k'| A__questionmark_v0 |tptp.'top$c'| |tptp.'top$c'|))))
% 1.08/1.31 (assume a636 (forall ((A__questionmark_v0 |tptp.'C_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_a_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_fun$'|)) (=> (and (forall ((A__questionmark_v1 |tptp.'C_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun$'|) (A__questionmark_v2 |tptp.'C_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun$'|)) (= (= (|tptp.'fun_app$o'| A__questionmark_v0 A__questionmark_v1) (|tptp.'fun_app$o'| A__questionmark_v0 A__questionmark_v2)) (= A__questionmark_v1 A__questionmark_v2))) (forall ((A__questionmark_v1 |tptp.'A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun$'|)) (exists ((A__questionmark_v2 |tptp.'C_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun$'|)) (= A__questionmark_v1 (|tptp.'fun_app$o'| A__questionmark_v0 A__questionmark_v2))))) (|tptp.'bij_betw$l'| A__questionmark_v0 |tptp.'top$c'| |tptp.'top$d'|))))
% 1.08/1.31 (assume a637 (forall ((A__questionmark_v0 |tptp.'C_a_a_c_prod_b_complement_domain_prod_prod_ell2_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'|)) (=> (and (forall ((A__questionmark_v1 |tptp.'C_a_a_c_prod_b_complement_domain_prod_prod_ell2_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun$'|) (A__questionmark_v2 |tptp.'C_a_a_c_prod_b_complement_domain_prod_prod_ell2_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun$'|)) (= (= (|tptp.'fun_app$e'| A__questionmark_v0 A__questionmark_v1) (|tptp.'fun_app$e'| A__questionmark_v0 A__questionmark_v2)) (= A__questionmark_v1 A__questionmark_v2))) (forall ((A__questionmark_v1 |tptp.'B_ell2_b_ell2_cblinfun$'|)) (exists ((A__questionmark_v2 |tptp.'C_a_a_c_prod_b_complement_domain_prod_prod_ell2_c_a_a_c_prod_b_complement_domain_prod_prod_ell2_cblinfun$'|)) (= A__questionmark_v1 (|tptp.'fun_app$e'| A__questionmark_v0 A__questionmark_v2))))) (|tptp.'bij_betw$m'| A__questionmark_v0 |tptp.'top$b'| |tptp.'top$a'|))))
% 1.08/1.31 (assume a638 (forall ((A__questionmark_v0 |tptp.'A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun_c_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun_fun$'|)) (=> (and (forall ((A__questionmark_v1 |tptp.'A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun$'|) (A__questionmark_v2 |tptp.'A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun$'|)) (= (= (|tptp.'fun_app$n'| A__questionmark_v0 A__questionmark_v1) (|tptp.'fun_app$n'| A__questionmark_v0 A__questionmark_v2)) (= A__questionmark_v1 A__questionmark_v2))) (forall ((A__questionmark_v1 |tptp.'C_c_b_complement_domain_prod_ell2_c_c_b_complement_domain_prod_ell2_cblinfun$'|)) (exists ((A__questionmark_v2 |tptp.'A_a_b_complement_domain_prod_ell2_a_a_b_complement_domain_prod_ell2_cblinfun$'|)) (= A__questionmark_v1 (|tptp.'fun_app$n'| A__questionmark_v0 A__questionmark_v2))))) (|tptp.'bij_betw$n'| A__questionmark_v0 |tptp.'top$d'| |tptp.'top$c'|))))
% 1.08/1.31 (assume a639 (forall ((A__questionmark_v0 |tptp.'A_ell2_a_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$'|) (A__questionmark_v1 |tptp.'A_ell2_a_ell2_cblinfun_a_ell2_a_ell2_cblinfun_fun$'|)) (= (and (= (|tptp.'comp$bv'| A__questionmark_v0 A__questionmark_v1) |tptp.'id$'|) (= (|tptp.'comp$bv'| A__questionmark_v1 A__questionmark_v0) |tptp.'id$'|)) (and (forall ((A__questionmark_v2 |tptp.'A_ell2_a_ell2_cblinfun$'|)) (= (|tptp.'fun_app$ab'| A__questionmark_v0 (|tptp.'fun_app$ab'| A__questionmark_v1 A__questionmark_v2)) A__questionmark_v2)) (forall ((A__questionmark_v2 |tptp.'A_ell2_a_ell2_cblinfun$'|)) (= (|tptp.'fun_app$ab'| A__questionmark_v1 (|tptp.'fun_app$ab'| A__questionmark_v0 A__questionmark_v2)) A__questionmark_v2))))))
% 1.08/1.31 (assume a640 true)
% 1.08/1.31 (step t1 (cl (=> (forall ((A__questionmark_v0 |tptp.'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'|) (A__questionmark_v1 |tptp.'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'|)) (or (not (|tptp.'compatible$'| A__questionmark_v0 A__questionmark_v1)) (|tptp.'complements$'| A__questionmark_v1 (|tptp.'register_pair$'| A__questionmark_v0 (|tptp.'complement$'| (|tptp.'register_pair$a'| A__questionmark_v0 A__questionmark_v1)))))) (or (not (|tptp.'compatible$'| |tptp.'f$'| |tptp.'g$'|)) (|tptp.'complements$'| |tptp.'g$'| (|tptp.'register_pair$'| |tptp.'f$'| (|tptp.'complement$'| (|tptp.'register_pair$a'| |tptp.'f$'| |tptp.'g$'|)))))) (forall ((A__questionmark_v0 |tptp.'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'|) (A__questionmark_v1 |tptp.'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'|)) (or (not (|tptp.'compatible$'| A__questionmark_v0 A__questionmark_v1)) (|tptp.'complements$'| A__questionmark_v1 (|tptp.'register_pair$'| A__questionmark_v0 (|tptp.'complement$'| (|tptp.'register_pair$a'| A__questionmark_v0 A__questionmark_v1))))))) :rule implies_neg1)
% 1.08/1.31 (anchor :step t2)
% 1.08/1.31 (assume t2.a0 (forall ((A__questionmark_v0 |tptp.'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'|) (A__questionmark_v1 |tptp.'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'|)) (or (not (|tptp.'compatible$'| A__questionmark_v0 A__questionmark_v1)) (|tptp.'complements$'| A__questionmark_v1 (|tptp.'register_pair$'| A__questionmark_v0 (|tptp.'complement$'| (|tptp.'register_pair$a'| A__questionmark_v0 A__questionmark_v1)))))))
% 1.08/1.31 (step t2.t1 (cl (or (not (forall ((A__questionmark_v0 |tptp.'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'|) (A__questionmark_v1 |tptp.'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'|)) (or (not (|tptp.'compatible$'| A__questionmark_v0 A__questionmark_v1)) (|tptp.'complements$'| A__questionmark_v1 (|tptp.'register_pair$'| A__questionmark_v0 (|tptp.'complement$'| (|tptp.'register_pair$a'| A__questionmark_v0 A__questionmark_v1))))))) (or (not (|tptp.'compatible$'| |tptp.'f$'| |tptp.'g$'|)) (|tptp.'complements$'| |tptp.'g$'| (|tptp.'register_pair$'| |tptp.'f$'| (|tptp.'complement$'| (|tptp.'register_pair$a'| |tptp.'f$'| |tptp.'g$'|))))))) :rule forall_inst :args ((:= A__questionmark_v0 |tptp.'f$'|) (:= A__questionmark_v1 |tptp.'g$'|)))
% 1.08/1.31 (step t2.t2 (cl (not (forall ((A__questionmark_v0 |tptp.'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'|) (A__questionmark_v1 |tptp.'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'|)) (or (not (|tptp.'compatible$'| A__questionmark_v0 A__questionmark_v1)) (|tptp.'complements$'| A__questionmark_v1 (|tptp.'register_pair$'| A__questionmark_v0 (|tptp.'complement$'| (|tptp.'register_pair$a'| A__questionmark_v0 A__questionmark_v1))))))) (or (not (|tptp.'compatible$'| |tptp.'f$'| |tptp.'g$'|)) (|tptp.'complements$'| |tptp.'g$'| (|tptp.'register_pair$'| |tptp.'f$'| (|tptp.'complement$'| (|tptp.'register_pair$a'| |tptp.'f$'| |tptp.'g$'|)))))) :rule or :premises (t2.t1))
% 1.08/1.31 (step t2.t3 (cl (or (not (|tptp.'compatible$'| |tptp.'f$'| |tptp.'g$'|)) (|tptp.'complements$'| |tptp.'g$'| (|tptp.'register_pair$'| |tptp.'f$'| (|tptp.'complement$'| (|tptp.'register_pair$a'| |tptp.'f$'| |tptp.'g$'|)))))) :rule resolution :premises (t2.t2 t2.a0))
% 1.08/1.31 (step t2 (cl (not (forall ((A__questionmark_v0 |tptp.'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'|) (A__questionmark_v1 |tptp.'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'|)) (or (not (|tptp.'compatible$'| A__questionmark_v0 A__questionmark_v1)) (|tptp.'complements$'| A__questionmark_v1 (|tptp.'register_pair$'| A__questionmark_v0 (|tptp.'complement$'| (|tptp.'register_pair$a'| A__questionmark_v0 A__questionmark_v1))))))) (or (not (|tptp.'compatible$'| |tptp.'f$'| |tptp.'g$'|)) (|tptp.'complements$'| |tptp.'g$'| (|tptp.'register_pair$'| |tptp.'f$'| (|tptp.'complement$'| (|tptp.'register_pair$a'| |tptp.'f$'| |tptp.'g$'|)))))) :rule subproof :discharge (t2.a0))
% 1.08/1.31 (step t3 (cl (=> (forall ((A__questionmark_v0 |tptp.'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'|) (A__questionmark_v1 |tptp.'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'|)) (or (not (|tptp.'compatible$'| A__questionmark_v0 A__questionmark_v1)) (|tptp.'complements$'| A__questionmark_v1 (|tptp.'register_pair$'| A__questionmark_v0 (|tptp.'complement$'| (|tptp.'register_pair$a'| A__questionmark_v0 A__questionmark_v1)))))) (or (not (|tptp.'compatible$'| |tptp.'f$'| |tptp.'g$'|)) (|tptp.'complements$'| |tptp.'g$'| (|tptp.'register_pair$'| |tptp.'f$'| (|tptp.'complement$'| (|tptp.'register_pair$a'| |tptp.'f$'| |tptp.'g$'|)))))) (or (not (|tptp.'compatible$'| |tptp.'f$'| |tptp.'g$'|)) (|tptp.'complements$'| |tptp.'g$'| (|tptp.'register_pair$'| |tptp.'f$'| (|tptp.'complement$'| (|tptp.'register_pair$a'| |tptp.'f$'| |tptp.'g$'|)))))) :rule resolution :premises (t1 t2))
% 1.08/1.31 (step t4 (cl (=> (forall ((A__questionmark_v0 |tptp.'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'|) (A__questionmark_v1 |tptp.'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'|)) (or (not (|tptp.'compatible$'| A__questionmark_v0 A__questionmark_v1)) (|tptp.'complements$'| A__questionmark_v1 (|tptp.'register_pair$'| A__questionmark_v0 (|tptp.'complement$'| (|tptp.'register_pair$a'| A__questionmark_v0 A__questionmark_v1)))))) (or (not (|tptp.'compatible$'| |tptp.'f$'| |tptp.'g$'|)) (|tptp.'complements$'| |tptp.'g$'| (|tptp.'register_pair$'| |tptp.'f$'| (|tptp.'complement$'| (|tptp.'register_pair$a'| |tptp.'f$'| |tptp.'g$'|)))))) (not (or (not (|tptp.'compatible$'| |tptp.'f$'| |tptp.'g$'|)) (|tptp.'complements$'| |tptp.'g$'| (|tptp.'register_pair$'| |tptp.'f$'| (|tptp.'complement$'| (|tptp.'register_pair$a'| |tptp.'f$'| |tptp.'g$'|))))))) :rule implies_neg2)
% 1.08/1.31 (step t5 (cl (=> (forall ((A__questionmark_v0 |tptp.'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'|) (A__questionmark_v1 |tptp.'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'|)) (or (not (|tptp.'compatible$'| A__questionmark_v0 A__questionmark_v1)) (|tptp.'complements$'| A__questionmark_v1 (|tptp.'register_pair$'| A__questionmark_v0 (|tptp.'complement$'| (|tptp.'register_pair$a'| A__questionmark_v0 A__questionmark_v1)))))) (or (not (|tptp.'compatible$'| |tptp.'f$'| |tptp.'g$'|)) (|tptp.'complements$'| |tptp.'g$'| (|tptp.'register_pair$'| |tptp.'f$'| (|tptp.'complement$'| (|tptp.'register_pair$a'| |tptp.'f$'| |tptp.'g$'|)))))) (=> (forall ((A__questionmark_v0 |tptp.'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'|) (A__questionmark_v1 |tptp.'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'|)) (or (not (|tptp.'compatible$'| A__questionmark_v0 A__questionmark_v1)) (|tptp.'complements$'| A__questionmark_v1 (|tptp.'register_pair$'| A__questionmark_v0 (|tptp.'complement$'| (|tptp.'register_pair$a'| A__questionmark_v0 A__questionmark_v1)))))) (or (not (|tptp.'compatible$'| |tptp.'f$'| |tptp.'g$'|)) (|tptp.'complements$'| |tptp.'g$'| (|tptp.'register_pair$'| |tptp.'f$'| (|tptp.'complement$'| (|tptp.'register_pair$a'| |tptp.'f$'| |tptp.'g$'|))))))) :rule resolution :premises (t3 t4))
% 1.08/1.31 (step t6 (cl (=> (forall ((A__questionmark_v0 |tptp.'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'|) (A__questionmark_v1 |tptp.'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'|)) (or (not (|tptp.'compatible$'| A__questionmark_v0 A__questionmark_v1)) (|tptp.'complements$'| A__questionmark_v1 (|tptp.'register_pair$'| A__questionmark_v0 (|tptp.'complement$'| (|tptp.'register_pair$a'| A__questionmark_v0 A__questionmark_v1)))))) (or (not (|tptp.'compatible$'| |tptp.'f$'| |tptp.'g$'|)) (|tptp.'complements$'| |tptp.'g$'| (|tptp.'register_pair$'| |tptp.'f$'| (|tptp.'complement$'| (|tptp.'register_pair$a'| |tptp.'f$'| |tptp.'g$'|))))))) :rule contraction :premises (t5))
% 1.08/1.31 (step t7 (cl (not (forall ((A__questionmark_v0 |tptp.'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'|) (A__questionmark_v1 |tptp.'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'|)) (or (not (|tptp.'compatible$'| A__questionmark_v0 A__questionmark_v1)) (|tptp.'complements$'| A__questionmark_v1 (|tptp.'register_pair$'| A__questionmark_v0 (|tptp.'complement$'| (|tptp.'register_pair$a'| A__questionmark_v0 A__questionmark_v1))))))) (or (not (|tptp.'compatible$'| |tptp.'f$'| |tptp.'g$'|)) (|tptp.'complements$'| |tptp.'g$'| (|tptp.'register_pair$'| |tptp.'f$'| (|tptp.'complement$'| (|tptp.'register_pair$a'| |tptp.'f$'| |tptp.'g$'|)))))) :rule implies :premises (t6))
% 1.08/1.31 (step t8 (cl (not (or (not (|tptp.'compatible$'| |tptp.'f$'| |tptp.'g$'|)) (|tptp.'complements$'| |tptp.'g$'| (|tptp.'register_pair$'| |tptp.'f$'| (|tptp.'complement$'| (|tptp.'register_pair$a'| |tptp.'f$'| |tptp.'g$'|)))))) (not (|tptp.'compatible$'| |tptp.'f$'| |tptp.'g$'|)) (|tptp.'complements$'| |tptp.'g$'| (|tptp.'register_pair$'| |tptp.'f$'| (|tptp.'complement$'| (|tptp.'register_pair$a'| |tptp.'f$'| |tptp.'g$'|))))) :rule or_pos)
% 1.08/1.31 (step t9 (cl (|tptp.'complements$'| |tptp.'g$'| (|tptp.'register_pair$'| |tptp.'f$'| (|tptp.'complement$'| (|tptp.'register_pair$a'| |tptp.'f$'| |tptp.'g$'|)))) (not (|tptp.'compatible$'| |tptp.'f$'| |tptp.'g$'|)) (not (or (not (|tptp.'compatible$'| |tptp.'f$'| |tptp.'g$'|)) (|tptp.'complements$'| |tptp.'g$'| (|tptp.'register_pair$'| |tptp.'f$'| (|tptp.'complement$'| (|tptp.'register_pair$a'| |tptp.'f$'| |tptp.'g$'|))))))) :rule reordering :premises (t8))
% 1.08/1.31 (step t10 (cl (not (or (not (|tptp.'compatible$'| |tptp.'f$'| |tptp.'g$'|)) (|tptp.'complements$'| |tptp.'g$'| (|tptp.'register_pair$'| |tptp.'f$'| (|tptp.'complement$'| (|tptp.'register_pair$a'| |tptp.'f$'| |tptp.'g$'|))))))) :rule resolution :premises (t9 a0 a3))
% 1.08/1.31 (step t11 (cl (not (= (forall ((A__questionmark_v0 |tptp.'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'|) (A__questionmark_v1 |tptp.'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'|)) (=> (|tptp.'compatible$'| A__questionmark_v0 A__questionmark_v1) (|tptp.'complements$'| A__questionmark_v1 (|tptp.'register_pair$'| A__questionmark_v0 (|tptp.'complement$'| (|tptp.'register_pair$a'| A__questionmark_v0 A__questionmark_v1)))))) (forall ((A__questionmark_v0 |tptp.'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'|) (A__questionmark_v1 |tptp.'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'|)) (or (not (|tptp.'compatible$'| A__questionmark_v0 A__questionmark_v1)) (|tptp.'complements$'| A__questionmark_v1 (|tptp.'register_pair$'| A__questionmark_v0 (|tptp.'complement$'| (|tptp.'register_pair$a'| A__questionmark_v0 A__questionmark_v1)))))))) (not (forall ((A__questionmark_v0 |tptp.'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'|) (A__questionmark_v1 |tptp.'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'|)) (=> (|tptp.'compatible$'| A__questionmark_v0 A__questionmark_v1) (|tptp.'complements$'| A__questionmark_v1 (|tptp.'register_pair$'| A__questionmark_v0 (|tptp.'complement$'| (|tptp.'register_pair$a'| A__questionmark_v0 A__questionmark_v1))))))) (forall ((A__questionmark_v0 |tptp.'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'|) (A__questionmark_v1 |tptp.'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'|)) (or (not (|tptp.'compatible$'| A__questionmark_v0 A__questionmark_v1)) (|tptp.'complements$'| A__questionmark_v1 (|tptp.'register_pair$'| A__questionmark_v0 (|tptp.'complement$'| (|tptp.'register_pair$a'| A__questionmark_v0 A__questionmark_v1))))))) :rule equiv_pos2)
% 1.15/1.32 (step t12 (cl (= (forall ((A__questionmark_v0 |tptp.'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'|) (A__questionmark_v1 |tptp.'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'|)) (=> (|tptp.'compatible$'| A__questionmark_v0 A__questionmark_v1) (|tptp.'complements$'| A__questionmark_v1 (|tptp.'register_pair$'| A__questionmark_v0 (|tptp.'complement$'| (|tptp.'register_pair$a'| A__questionmark_v0 A__questionmark_v1)))))) (forall ((A__questionmark_v0 |tptp.'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'|) (A__questionmark_v1 |tptp.'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'|)) (or (not (|tptp.'compatible$'| A__questionmark_v0 A__questionmark_v1)) (|tptp.'complements$'| A__questionmark_v1 (|tptp.'register_pair$'| A__questionmark_v0 (|tptp.'complement$'| (|tptp.'register_pair$a'| A__questionmark_v0 A__questionmark_v1)))))))) :rule all_simplify)
% 1.15/1.32 (step t13 (cl (forall ((A__questionmark_v0 |tptp.'A_ell2_a_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'|) (A__questionmark_v1 |tptp.'C_ell2_c_ell2_cblinfun_b_ell2_b_ell2_cblinfun_fun$'|)) (or (not (|tptp.'compatible$'| A__questionmark_v0 A__questionmark_v1)) (|tptp.'complements$'| A__questionmark_v1 (|tptp.'register_pair$'| A__questionmark_v0 (|tptp.'complement$'| (|tptp.'register_pair$a'| A__questionmark_v0 A__questionmark_v1))))))) :rule resolution :premises (t11 t12 a18))
% 1.15/1.32 (step t14 (cl) :rule resolution :premises (t7 t10 t13))
% 1.15/1.32
% 1.15/1.32 % SZS output end Proof for /export/starexec/sandbox2/tmp/tmp.Uk0ohtT9UB/cvc5---1.0.5_17426.smt2
% 1.15/1.32 % cvc5---1.0.5 exiting
% 1.15/1.32 % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------