TSTP Solution File: ITP387_1 by cvc5---1.0.5
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%------------------------------------------------------------------------------
% File : cvc5---1.0.5
% Problem : ITP387_1 : TPTP v8.1.2. Released v8.0.0.
% Transfm : none
% Format : tptp
% Command : do_cvc5 %s %d
% Computer : n027.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Aug 31 03:33:39 EDT 2023
% Result : Theorem 0.68s 1.27s
% Output : Proof 0.68s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.23/0.23 % Problem : ITP387_1 : TPTP v8.1.2. Released v8.0.0.
% 0.23/0.24 % Command : do_cvc5 %s %d
% 0.24/0.45 % Computer : n027.cluster.edu
% 0.24/0.45 % Model : x86_64 x86_64
% 0.24/0.45 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.24/0.45 % Memory : 8042.1875MB
% 0.24/0.45 % OS : Linux 3.10.0-693.el7.x86_64
% 0.24/0.45 % CPULimit : 300
% 0.24/0.45 % WCLimit : 300
% 0.24/0.45 % DateTime : Sun Aug 27 14:30:06 EDT 2023
% 0.24/0.45 % CPUTime :
% 0.31/0.69 %----Proving TF0_NAR, FOF, or CNF
% 0.68/1.27 ------- convert to smt2 : /export/starexec/sandbox/tmp/tmp.OY4YB9b5aD/cvc5---1.0.5_19188.p...
% 0.68/1.27 ------- get file name : TPTP file name is ITP387_1
% 0.68/1.27 ------- cvc5-fof : /export/starexec/sandbox/solver/bin/cvc5---1.0.5_19188.smt2...
% 0.68/1.27 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 0.68/1.27 % SZS status Theorem for ITP387_1
% 0.68/1.27 % SZS output start Proof for ITP387_1
% 0.68/1.27 (
% 0.68/1.27 (let ((_let_1 (|tptp.'image$f'| |tptp.'ket$'| |tptp.'top$d'|))) (let ((_let_2 (|tptp.'cspan$'| _let_1))) (let ((_let_3 (forall ((A__questionmark_v0 |tptp.'B_ell2$'|) (A__questionmark_v1 |tptp.'D_ell2$'|) (A__questionmark_v2 |tptp.'D_ell2$'|)) (= (|tptp.'tensor_ell2$'| A__questionmark_v0 (|tptp.'plus$i'| A__questionmark_v1 A__questionmark_v2)) (|tptp.'plus$u'| (|tptp.'tensor_ell2$'| A__questionmark_v0 A__questionmark_v1) (|tptp.'tensor_ell2$'| A__questionmark_v0 A__questionmark_v2)))))) (let ((_let_4 (forall ((A__questionmark_v0 |tptp.'A_c_prod_ell2_b_d_prod_ell2_cblinfun$'|) (A__questionmark_v1 |tptp.'A_c_prod_ell2_b_d_prod_ell2_cblinfun$'|) (A__questionmark_v2 |tptp.'A_c_prod_ell2$'|)) (= (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| (|tptp.'fun_app$r'| (|tptp.'fun_app$s'| |tptp.'plus$b'| A__questionmark_v0) A__questionmark_v1)) A__questionmark_v2) (|tptp.'plus$u'| (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| A__questionmark_v0) A__questionmark_v2) (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| A__questionmark_v1) A__questionmark_v2)))))) (let ((_let_5 (forall ((A__questionmark_v0 |tptp.'C_ell2_d_ell2_cblinfun$'|) (A__questionmark_v1 |tptp.'C_ell2_d_ell2_cblinfun$'|) (A__questionmark_v2 |tptp.'C_ell2$'|)) (= (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| (|tptp.'fun_app$m'| (|tptp.'fun_app$n'| |tptp.'plus$a'| A__questionmark_v0) A__questionmark_v1)) A__questionmark_v2) (|tptp.'plus$i'| (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| A__questionmark_v0) A__questionmark_v2) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| A__questionmark_v1) A__questionmark_v2)))))) (let ((_let_6 (forall ((A__questionmark_v0 |tptp.'A_ell2_b_ell2_cblinfun$'|) (A__questionmark_v1 |tptp.'C_ell2_d_ell2_cblinfun$'|) (A__questionmark_v2 |tptp.'A$'|) (A__questionmark_v3 |tptp.'C$'|)) (= (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| (|tptp.'tensor_op$'| A__questionmark_v0 A__questionmark_v1)) (|tptp.'fun_app$o'| |tptp.'ket$'| (|tptp.'fun_app$p'| (|tptp.'fun_app$q'| |tptp.'pair$'| A__questionmark_v2) A__questionmark_v3))) (|tptp.'tensor_ell2$'| (|tptp.'fun_app$t'| (|tptp.'cblinfun_apply$a'| A__questionmark_v0) (|tptp.'ket$a'| A__questionmark_v2)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| A__questionmark_v1) (|tptp.'ket$b'| A__questionmark_v3))))))) (let ((_let_7 (|tptp.'fun_app$o'| |tptp.'ket$'| (|tptp.'fun_app$p'| (|tptp.'fun_app$q'| |tptp.'pair$'| |tptp.'i$'|) |tptp.'j$'|)))) (let ((_let_8 (|tptp.'tensor_op$'| |tptp.'a$'| |tptp.'b2$'|))) (let ((_let_9 (|tptp.'tensor_op$'| |tptp.'a$'| |tptp.'b1$'|))) (let ((_let_10 (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| (|tptp.'fun_app$r'| (|tptp.'fun_app$s'| |tptp.'plus$b'| _let_9) _let_8)) _let_7))) (let ((_let_11 (|tptp.'fun_app$m'| (|tptp.'fun_app$n'| |tptp.'plus$a'| |tptp.'b1$'|) |tptp.'b2$'|))) (let ((_let_12 (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| (|tptp.'tensor_op$'| |tptp.'a$'| _let_11)) _let_7))) (let ((_let_13 (= _let_12 _let_10))) (let ((_let_14 (not _let_13))) (let ((_let_15 (|tptp.'ket$b'| |tptp.'j$'|))) (let ((_let_16 (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| _let_11) _let_15))) (let ((_let_17 (|tptp.'fun_app$t'| (|tptp.'cblinfun_apply$a'| |tptp.'a$'|) (|tptp.'ket$a'| |tptp.'i$'|)))) (let ((_let_18 (= _let_12 (|tptp.'tensor_ell2$'| _let_17 _let_16)))) (let ((_let_19 (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| _let_8) _let_7))) (let ((_let_20 (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| _let_9) _let_7))) (let ((_let_21 (= _let_10 (|tptp.'plus$u'| _let_20 _let_19)))) (let ((_let_22 (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b2$'|) _let_15))) (let ((_let_23 (|tptp.'tensor_ell2$'| _let_17 _let_22))) (let ((_let_24 (= _let_19 _let_23))) (let ((_let_25 (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b1$'|) _let_15))) (let ((_let_26 (|tptp.'tensor_ell2$'| _let_17 _let_25))) (let ((_let_27 (= _let_20 _let_26))) (let ((_let_28 (|tptp.'plus$i'| _let_25 _let_22))) (let ((_let_29 (= _let_16 _let_28))) (let ((_let_30 (= (|tptp.'tensor_ell2$'| _let_17 _let_28) (|tptp.'plus$u'| _let_26 _let_23)))) (let ((_let_31 (ASSUME :args (_let_14)))) (let ((_let_32 (_let_6))) (let ((_let_33 (ASSUME :args _let_32))) (let ((_let_34 ((|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| (|tptp.'tensor_op$'| A__questionmark_v0 A__questionmark_v1)) (|tptp.'fun_app$o'| |tptp.'ket$'| (|tptp.'fun_app$p'| (|tptp.'fun_app$q'| |tptp.'pair$'| A__questionmark_v2) A__questionmark_v3)))))) (let ((_let_35 (_let_4))) (let ((_let_36 (ASSUME :args _let_35))) (let ((_let_37 (_let_5))) (let ((_let_38 (ASSUME :args _let_37))) (let ((_let_39 (_let_3))) (let ((_let_40 (ASSUME :args _let_39))) (let ((_let_41 (not _let_30))) (let ((_let_42 (_let_41))) (let ((_let_43 (ASSUME :args (_let_30)))) (let ((_let_44 (ASSUME :args (_let_21)))) (let ((_let_45 (ASSUME :args (_let_24)))) (let ((_let_46 (ASSUME :args (_let_27)))) (let ((_let_47 (ASSUME :args (_let_18)))) (let ((_let_48 (ASSUME :args (_let_29)))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (NOT_AND (MACRO_SR_PRED_TRANSFORM (SCOPE (AND_INTRO _let_43 (MODUS_PONENS (AND_INTRO _let_47 _let_48 _let_31 _let_44 _let_46 _let_45) (SCOPE (FALSE_ELIM (TRANS (CONG (TRANS (CONG (REFL :args (_let_17)) (SYMM _let_48) :args (APPLY_UF |tptp.'tensor_ell2$'|)) (SYMM _let_47)) (TRANS (CONG (SYMM _let_46) (SYMM _let_45) :args (APPLY_UF |tptp.'plus$u'|)) (SYMM _let_44)) :args (=)) (FALSE_INTRO _let_31))) :args (_let_18 _let_29 _let_14 _let_21 _let_27 _let_24)))) :args (_let_14 _let_18 _let_21 _let_24 _let_27 _let_29 _let_30)) (SCOPE (MACRO_SR_PRED_ELIM (TRANS (SYMM (FALSE_INTRO (ASSUME :args _let_42))) (TRUE_INTRO (SYMM (SYMM _let_43))))) :args (_let_30 _let_41)) :args ((not (and _let_14 _let_18 _let_21 _let_24 _let_27 _let_29 _let_30)) SB_LITERAL))) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_14) _let_13))) (REFL :args ((not _let_18))) (REFL :args ((not _let_21))) (REFL :args ((not _let_24))) (REFL :args ((not _let_27))) (REFL :args ((not _let_29))) (REFL :args _let_42) :args (or))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_40 :args (_let_17 _let_25 _let_22 QUANTIFIERS_INST_E_MATCHING ((|tptp.'tensor_ell2$'| A__questionmark_v0 (|tptp.'plus$i'| A__questionmark_v1 A__questionmark_v2))))) :args _let_39)) _let_40 :args (_let_30 false _let_3)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_38 :args (|tptp.'b1$'| |tptp.'b2$'| _let_15 QUANTIFIERS_INST_E_MATCHING ((|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| (|tptp.'fun_app$m'| (|tptp.'fun_app$n'| |tptp.'plus$a'| A__questionmark_v0) A__questionmark_v1)) A__questionmark_v2)))) :args _let_37)) _let_38 :args (_let_29 false _let_5)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_33 :args (|tptp.'a$'| |tptp.'b1$'| |tptp.'i$'| |tptp.'j$'| QUANTIFIERS_INST_E_MATCHING _let_34)) :args _let_32)) _let_33 :args (_let_27 false _let_6)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_33 :args (|tptp.'a$'| |tptp.'b2$'| |tptp.'i$'| |tptp.'j$'| QUANTIFIERS_INST_E_MATCHING _let_34)) :args _let_32)) _let_33 :args (_let_24 false _let_6)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_36 :args (_let_9 _let_8 _let_7 QUANTIFIERS_INST_E_MATCHING ((|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| (|tptp.'fun_app$r'| (|tptp.'fun_app$s'| |tptp.'plus$b'| A__questionmark_v0) A__questionmark_v1)) A__questionmark_v2)))) :args _let_35)) _let_36 :args (_let_21 false _let_4)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_33 :args (|tptp.'a$'| _let_11 |tptp.'i$'| |tptp.'j$'| QUANTIFIERS_INST_E_MATCHING _let_34)) :args _let_32)) _let_33 :args (_let_18 false _let_6)) _let_31 :args (false false _let_30 false _let_29 false _let_27 false _let_24 false _let_21 false _let_18 true _let_13)) :args ((forall ((A__questionmark_v0 |tptp.'C_a_prod_set$'|) (A__questionmark_v1 |tptp.'C_a_prod$'|)) (= (|tptp.'fun_app$'| (|tptp.'uu$'| A__questionmark_v0) A__questionmark_v1) (|tptp.'member$'| A__questionmark_v1 A__questionmark_v0))) (forall ((A__questionmark_v0 |tptp.'A_c_prod_set$'|) (A__questionmark_v1 |tptp.'A_c_prod$'|)) (= (|tptp.'fun_app$a'| (|tptp.'uua$'| A__questionmark_v0) A__questionmark_v1) (|tptp.'member$a'| A__questionmark_v1 A__questionmark_v0))) (forall ((A__questionmark_v0 |tptp.'B_d_prod_ell2_set$'|) (A__questionmark_v1 |tptp.'B_d_prod_ell2$'|)) (= (|tptp.'fun_app$b'| (|tptp.'uub$'| A__questionmark_v0) A__questionmark_v1) (|tptp.'member$b'| A__questionmark_v1 A__questionmark_v0))) (forall ((A__questionmark_v0 |tptp.'A_c_prod_ell2_set$'|) (A__questionmark_v1 |tptp.'A_c_prod_ell2$'|)) (= (|tptp.'fun_app$c'| (|tptp.'uuc$'| A__questionmark_v0) A__questionmark_v1) (|tptp.'member$c'| A__questionmark_v1 A__questionmark_v0))) (forall ((A__questionmark_v0 |tptp.'A_set$'|) (A__questionmark_v1 |tptp.'A$'|)) (= (|tptp.'fun_app$d'| (|tptp.'uud$'| A__questionmark_v0) A__questionmark_v1) (|tptp.'member$d'| A__questionmark_v1 A__questionmark_v0))) (forall ((A__questionmark_v0 |tptp.'A_c_prod_ell2_b_d_prod_ell2_cblinfun$'|) (A__questionmark_v1 |tptp.'A_c_prod_ell2_b_d_prod_ell2_cblinfun$'|)) (= (|tptp.'fun_app$e'| (|tptp.'fun_app$f'| |tptp.'uuf$'| A__questionmark_v0) A__questionmark_v1) (= A__questionmark_v0 A__questionmark_v1))) (forall ((A__questionmark_v0 |tptp.'C_ell2_d_ell2_cblinfun$'|) (A__questionmark_v1 |tptp.'C_ell2_d_ell2_cblinfun$'|)) (= (|tptp.'fun_app$g'| (|tptp.'fun_app$h'| |tptp.'uue$'| A__questionmark_v0) A__questionmark_v1) (= A__questionmark_v0 A__questionmark_v1))) (forall ((A__questionmark_v0 |tptp.'A_c_prod_ell2_b_d_prod_ell2_cblinfun_set$'|) (A__questionmark_v1 |tptp.'A_c_prod_ell2_b_d_prod_ell2_cblinfun$'|) (A__questionmark_v2 |tptp.'A_c_prod_ell2_b_d_prod_ell2_cblinfun$'|) (A__questionmark_v3 |tptp.'A_c_prod_ell2_b_d_prod_ell2_cblinfun$'|)) (= (|tptp.'fun_app$i'| (|tptp.'uuh$'| A__questionmark_v0 A__questionmark_v1 A__questionmark_v2) A__questionmark_v3) (|tptp.'plus$'| (|tptp.'fun_app$i'| (|tptp.'crepresentation$'| A__questionmark_v0 A__questionmark_v2) A__questionmark_v3) (|tptp.'fun_app$i'| (|tptp.'crepresentation$'| A__questionmark_v0 A__questionmark_v1) A__questionmark_v3)))) (forall ((A__questionmark_v0 |tptp.'C_ell2_d_ell2_cblinfun_set$'|) (A__questionmark_v1 |tptp.'C_ell2_d_ell2_cblinfun$'|) (A__questionmark_v2 |tptp.'C_ell2_d_ell2_cblinfun$'|) (A__questionmark_v3 |tptp.'C_ell2_d_ell2_cblinfun$'|)) (= (|tptp.'fun_app$j'| (|tptp.'uug$'| A__questionmark_v0 A__questionmark_v1 A__questionmark_v2) A__questionmark_v3) (|tptp.'plus$'| (|tptp.'fun_app$j'| (|tptp.'crepresentation$a'| A__questionmark_v0 A__questionmark_v2) A__questionmark_v3) (|tptp.'fun_app$j'| (|tptp.'crepresentation$a'| A__questionmark_v0 A__questionmark_v1) A__questionmark_v3)))) _let_14 (forall ((A__questionmark_v0 |tptp.'C_ell2_d_ell2_cblinfun$'|) (A__questionmark_v1 |tptp.'C_ell2_d_ell2_cblinfun$'|) (A__questionmark_v2 |tptp.'C_ell2_d_ell2_cblinfun$'|) (A__questionmark_v3 |tptp.'C_ell2_d_ell2_cblinfun$'|)) (= (|tptp.'plus$c'| (|tptp.'pair$a'| A__questionmark_v0 A__questionmark_v1) (|tptp.'pair$a'| A__questionmark_v2 A__questionmark_v3)) (|tptp.'pair$a'| (|tptp.'fun_app$m'| (|tptp.'fun_app$n'| |tptp.'plus$a'| A__questionmark_v0) A__questionmark_v2) (|tptp.'fun_app$m'| (|tptp.'fun_app$n'| |tptp.'plus$a'| A__questionmark_v1) A__questionmark_v3)))) (forall ((A__questionmark_v0 |tptp.'C_ell2_d_ell2_cblinfun$'|) (A__questionmark_v1 |tptp.'A_c_prod_ell2_b_d_prod_ell2_cblinfun$'|) (A__questionmark_v2 |tptp.'C_ell2_d_ell2_cblinfun$'|) (A__questionmark_v3 |tptp.'A_c_prod_ell2_b_d_prod_ell2_cblinfun$'|)) (= (|tptp.'plus$d'| (|tptp.'pair$b'| A__questionmark_v0 A__questionmark_v1) (|tptp.'pair$b'| A__questionmark_v2 A__questionmark_v3)) (|tptp.'pair$b'| (|tptp.'fun_app$m'| (|tptp.'fun_app$n'| |tptp.'plus$a'| A__questionmark_v0) A__questionmark_v2) (|tptp.'fun_app$r'| (|tptp.'fun_app$s'| |tptp.'plus$b'| A__questionmark_v1) A__questionmark_v3)))) (forall ((A__questionmark_v0 |tptp.'A_c_prod_ell2_b_d_prod_ell2_cblinfun$'|) (A__questionmark_v1 |tptp.'C_ell2_d_ell2_cblinfun$'|) (A__questionmark_v2 |tptp.'A_c_prod_ell2_b_d_prod_ell2_cblinfun$'|) (A__questionmark_v3 |tptp.'C_ell2_d_ell2_cblinfun$'|)) (= (|tptp.'plus$e'| (|tptp.'pair$c'| A__questionmark_v0 A__questionmark_v1) (|tptp.'pair$c'| A__questionmark_v2 A__questionmark_v3)) (|tptp.'pair$c'| (|tptp.'fun_app$r'| (|tptp.'fun_app$s'| |tptp.'plus$b'| A__questionmark_v0) A__questionmark_v2) (|tptp.'fun_app$m'| (|tptp.'fun_app$n'| |tptp.'plus$a'| A__questionmark_v1) A__questionmark_v3)))) (forall ((A__questionmark_v0 |tptp.'A_c_prod_ell2_b_d_prod_ell2_cblinfun$'|) (A__questionmark_v1 |tptp.'A_c_prod_ell2_b_d_prod_ell2_cblinfun$'|) (A__questionmark_v2 |tptp.'A_c_prod_ell2_b_d_prod_ell2_cblinfun$'|) (A__questionmark_v3 |tptp.'A_c_prod_ell2_b_d_prod_ell2_cblinfun$'|)) (= (|tptp.'plus$f'| (|tptp.'pair$d'| A__questionmark_v0 A__questionmark_v1) (|tptp.'pair$d'| A__questionmark_v2 A__questionmark_v3)) (|tptp.'pair$d'| (|tptp.'fun_app$r'| (|tptp.'fun_app$s'| |tptp.'plus$b'| A__questionmark_v0) A__questionmark_v2) (|tptp.'fun_app$r'| (|tptp.'fun_app$s'| |tptp.'plus$b'| A__questionmark_v1) A__questionmark_v3)))) (forall ((A__questionmark_v0 |tptp.'Complex$'|) (A__questionmark_v1 |tptp.'Complex$'|) (A__questionmark_v2 |tptp.'Complex$'|) (A__questionmark_v3 |tptp.'Complex$'|)) (= (|tptp.'plus$g'| (|tptp.'pair$e'| A__questionmark_v0 A__questionmark_v1) (|tptp.'pair$e'| A__questionmark_v2 A__questionmark_v3)) (|tptp.'pair$e'| (|tptp.'plus$'| A__questionmark_v0 A__questionmark_v2) (|tptp.'plus$'| A__questionmark_v1 A__questionmark_v3)))) (forall ((A__questionmark_v0 |tptp.'D_ell2$'|) (A__questionmark_v1 |tptp.'Complex$'|) (A__questionmark_v2 |tptp.'D_ell2$'|) (A__questionmark_v3 |tptp.'Complex$'|)) (= (|tptp.'plus$h'| (|tptp.'pair$f'| A__questionmark_v0 A__questionmark_v1) (|tptp.'pair$f'| A__questionmark_v2 A__questionmark_v3)) (|tptp.'pair$f'| (|tptp.'plus$i'| A__questionmark_v0 A__questionmark_v2) (|tptp.'plus$'| A__questionmark_v1 A__questionmark_v3)))) (forall ((A__questionmark_v0 |tptp.'Complex$'|) (A__questionmark_v1 |tptp.'D_ell2$'|) (A__questionmark_v2 |tptp.'Complex$'|) (A__questionmark_v3 |tptp.'D_ell2$'|)) (= (|tptp.'plus$j'| (|tptp.'pair$g'| A__questionmark_v0 A__questionmark_v1) (|tptp.'pair$g'| A__questionmark_v2 A__questionmark_v3)) (|tptp.'pair$g'| (|tptp.'plus$'| A__questionmark_v0 A__questionmark_v2) (|tptp.'plus$i'| A__questionmark_v1 A__questionmark_v3)))) (forall ((A__questionmark_v0 |tptp.'D_ell2$'|) (A__questionmark_v1 |tptp.'D_ell2$'|) (A__questionmark_v2 |tptp.'D_ell2$'|) (A__questionmark_v3 |tptp.'D_ell2$'|)) (= (|tptp.'plus$k'| (|tptp.'pair$h'| A__questionmark_v0 A__questionmark_v1) (|tptp.'pair$h'| A__questionmark_v2 A__questionmark_v3)) (|tptp.'pair$h'| (|tptp.'plus$i'| A__questionmark_v0 A__questionmark_v2) (|tptp.'plus$i'| A__questionmark_v1 A__questionmark_v3)))) (forall ((A__questionmark_v0 |tptp.'A_c_prod_ell2$'|) (A__questionmark_v1 |tptp.'Complex$'|) (A__questionmark_v2 |tptp.'A_c_prod_ell2$'|) (A__questionmark_v3 |tptp.'Complex$'|)) (= (|tptp.'plus$l'| (|tptp.'pair$i'| A__questionmark_v0 A__questionmark_v1) (|tptp.'pair$i'| A__questionmark_v2 A__questionmark_v3)) (|tptp.'pair$i'| (|tptp.'plus$m'| A__questionmark_v0 A__questionmark_v2) (|tptp.'plus$'| A__questionmark_v1 A__questionmark_v3)))) (forall ((A__questionmark_v0 |tptp.'Complex$'|) (A__questionmark_v1 |tptp.'A_c_prod_ell2$'|) (A__questionmark_v2 |tptp.'Complex$'|) (A__questionmark_v3 |tptp.'A_c_prod_ell2$'|)) (= (|tptp.'plus$n'| (|tptp.'pair$j'| A__questionmark_v0 A__questionmark_v1) (|tptp.'pair$j'| A__questionmark_v2 A__questionmark_v3)) (|tptp.'pair$j'| (|tptp.'plus$'| A__questionmark_v0 A__questionmark_v2) (|tptp.'plus$m'| A__questionmark_v1 A__questionmark_v3)))) _let_6 (forall ((A__questionmark_v0 |tptp.'A_c_prod_ell2_b_d_prod_ell2_cblinfun$'|) (A__questionmark_v1 |tptp.'A_c_prod_ell2_b_d_prod_ell2_cblinfun$'|) (A__questionmark_v2 |tptp.'A_c_prod$'|) (A__questionmark_v3 |tptp.'A_c_prod$'|)) (= (|tptp.'fun_app$v'| (|tptp.'cblinfun_apply$c'| (|tptp.'tensor_op$a'| A__questionmark_v0 A__questionmark_v1)) (|tptp.'ket$c'| (|tptp.'pair$k'| A__questionmark_v2 A__questionmark_v3))) (|tptp.'tensor_ell2$a'| (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| A__questionmark_v0) (|tptp.'fun_app$o'| |tptp.'ket$'| A__questionmark_v2)) (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| A__questionmark_v1) (|tptp.'fun_app$o'| |tptp.'ket$'| A__questionmark_v3))))) (forall ((A__questionmark_v0 |tptp.'C_ell2_b_ell2_cblinfun$'|) (A__questionmark_v1 |tptp.'A_ell2_d_ell2_cblinfun$'|) (A__questionmark_v2 |tptp.'C$'|) (A__questionmark_v3 |tptp.'A$'|)) (= (|tptp.'cblinfun_apply$d'| (|tptp.'tensor_op$b'| A__questionmark_v0 A__questionmark_v1) (|tptp.'ket$d'| (|tptp.'pair$l'| A__questionmark_v2 A__questionmark_v3))) (|tptp.'tensor_ell2$'| (|tptp.'cblinfun_apply$e'| A__questionmark_v0 (|tptp.'ket$b'| A__questionmark_v2)) (|tptp.'cblinfun_apply$f'| A__questionmark_v1 (|tptp.'ket$a'| A__questionmark_v3))))) (forall ((A__questionmark_v0 |tptp.'A_ell2_a_ell2_cblinfun$'|) (A__questionmark_v1 |tptp.'A_ell2_c_ell2_cblinfun$'|) (A__questionmark_v2 |tptp.'A$'|) (A__questionmark_v3 |tptp.'A$'|)) (= (|tptp.'cblinfun_apply$g'| (|tptp.'tensor_op$c'| A__questionmark_v0 A__questionmark_v1) (|tptp.'ket$e'| (|tptp.'pair$m'| A__questionmark_v2 A__questionmark_v3))) (|tptp.'tensor_ell2$b'| (|tptp.'cblinfun_apply$h'| A__questionmark_v0 (|tptp.'ket$a'| A__questionmark_v2)) (|tptp.'cblinfun_apply$i'| A__questionmark_v1 (|tptp.'ket$a'| A__questionmark_v3))))) (forall ((A__questionmark_v0 |tptp.'C_ell2_a_ell2_cblinfun$'|) (A__questionmark_v1 |tptp.'C_ell2_c_ell2_cblinfun$'|) (A__questionmark_v2 |tptp.'C$'|) (A__questionmark_v3 |tptp.'C$'|)) (= (|tptp.'cblinfun_apply$j'| (|tptp.'tensor_op$d'| A__questionmark_v0 A__questionmark_v1) (|tptp.'ket$f'| (|tptp.'pair$n'| A__questionmark_v2 A__questionmark_v3))) (|tptp.'tensor_ell2$b'| (|tptp.'cblinfun_apply$k'| A__questionmark_v0 (|tptp.'ket$b'| A__questionmark_v2)) (|tptp.'cblinfun_apply$l'| A__questionmark_v1 (|tptp.'ket$b'| A__questionmark_v3))))) (forall ((A__questionmark_v0 |tptp.'A_ell2_a_ell2_cblinfun$'|) (A__questionmark_v1 |tptp.'C_ell2_c_ell2_cblinfun$'|) (A__questionmark_v2 |tptp.'A$'|) (A__questionmark_v3 |tptp.'C$'|)) (= (|tptp.'cblinfun_apply$m'| (|tptp.'tensor_op$e'| A__questionmark_v0 A__questionmark_v1) (|tptp.'fun_app$o'| |tptp.'ket$'| (|tptp.'fun_app$p'| (|tptp.'fun_app$q'| |tptp.'pair$'| A__questionmark_v2) A__questionmark_v3))) (|tptp.'tensor_ell2$b'| (|tptp.'cblinfun_apply$h'| A__questionmark_v0 (|tptp.'ket$a'| A__questionmark_v2)) (|tptp.'cblinfun_apply$l'| A__questionmark_v1 (|tptp.'ket$b'| A__questionmark_v3))))) (forall ((A__questionmark_v0 |tptp.'C_ell2_a_ell2_cblinfun$'|) (A__questionmark_v1 |tptp.'A_ell2_c_ell2_cblinfun$'|) (A__questionmark_v2 |tptp.'C$'|) (A__questionmark_v3 |tptp.'A$'|)) (= (|tptp.'cblinfun_apply$n'| (|tptp.'tensor_op$f'| A__questionmark_v0 A__questionmark_v1) (|tptp.'ket$d'| (|tptp.'pair$l'| A__questionmark_v2 A__questionmark_v3))) (|tptp.'tensor_ell2$b'| (|tptp.'cblinfun_apply$k'| A__questionmark_v0 (|tptp.'ket$b'| A__questionmark_v2)) (|tptp.'cblinfun_apply$i'| A__questionmark_v1 (|tptp.'ket$a'| A__questionmark_v3))))) (forall ((A__questionmark_v0 |tptp.'C_ell2_b_ell2_cblinfun$'|) (A__questionmark_v1 |tptp.'C_ell2_d_ell2_cblinfun$'|) (A__questionmark_v2 |tptp.'C$'|) (A__questionmark_v3 |tptp.'C$'|)) (= (|tptp.'cblinfun_apply$o'| (|tptp.'tensor_op$g'| A__questionmark_v0 A__questionmark_v1) (|tptp.'ket$f'| (|tptp.'pair$n'| A__questionmark_v2 A__questionmark_v3))) (|tptp.'tensor_ell2$'| (|tptp.'cblinfun_apply$e'| A__questionmark_v0 (|tptp.'ket$b'| A__questionmark_v2)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| A__questionmark_v1) (|tptp.'ket$b'| A__questionmark_v3))))) (forall ((A__questionmark_v0 |tptp.'C_ell2_d_ell2_cblinfun$'|) (A__questionmark_v1 |tptp.'C_ell2_d_ell2_cblinfun$'|) (A__questionmark_v2 |tptp.'C$'|) (A__questionmark_v3 |tptp.'C$'|)) (= (|tptp.'cblinfun_apply$p'| (|tptp.'tensor_op$h'| A__questionmark_v0 A__questionmark_v1) (|tptp.'ket$f'| (|tptp.'pair$n'| A__questionmark_v2 A__questionmark_v3))) (|tptp.'tensor_ell2$c'| (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| A__questionmark_v0) (|tptp.'ket$b'| A__questionmark_v2)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| A__questionmark_v1) (|tptp.'ket$b'| A__questionmark_v3))))) (forall ((A__questionmark_v0 |tptp.'C_ell2_d_ell2_cblinfun$'|) (A__questionmark_v1 |tptp.'A_ell2_b_ell2_cblinfun$'|) (A__questionmark_v2 |tptp.'C$'|) (A__questionmark_v3 |tptp.'A$'|)) (= (|tptp.'cblinfun_apply$q'| (|tptp.'tensor_op$i'| A__questionmark_v0 A__questionmark_v1) (|tptp.'ket$d'| (|tptp.'pair$l'| A__questionmark_v2 A__questionmark_v3))) (|tptp.'tensor_ell2$d'| (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| A__questionmark_v0) (|tptp.'ket$b'| A__questionmark_v2)) (|tptp.'fun_app$t'| (|tptp.'cblinfun_apply$a'| A__questionmark_v1) (|tptp.'ket$a'| A__questionmark_v3))))) (forall ((A__questionmark_v0 |tptp.'C_ell2_d_ell2_cblinfun_c_ell2_d_ell2_cblinfun_cblinfun$'|) (A__questionmark_v1 |tptp.'C_ell2_d_ell2_cblinfun_c_ell2_d_ell2_cblinfun_cblinfun$'|) (A__questionmark_v2 |tptp.'C_ell2_d_ell2_cblinfun$'|)) (= (|tptp.'fun_app$m'| (|tptp.'cblinfun_apply$r'| (|tptp.'plus$o'| A__questionmark_v0 A__questionmark_v1)) A__questionmark_v2) (|tptp.'fun_app$m'| (|tptp.'fun_app$n'| |tptp.'plus$a'| (|tptp.'fun_app$m'| (|tptp.'cblinfun_apply$r'| A__questionmark_v0) A__questionmark_v2)) (|tptp.'fun_app$m'| (|tptp.'cblinfun_apply$r'| A__questionmark_v1) A__questionmark_v2)))) (forall ((A__questionmark_v0 |tptp.'A_c_prod_a_c_prod_prod_ell2_b_d_prod_b_d_prod_prod_ell2_cblinfun$'|) (A__questionmark_v1 |tptp.'A_c_prod_a_c_prod_prod_ell2_b_d_prod_b_d_prod_prod_ell2_cblinfun$'|) (A__questionmark_v2 |tptp.'A_c_prod_a_c_prod_prod_ell2$'|)) (= (|tptp.'fun_app$v'| (|tptp.'cblinfun_apply$c'| (|tptp.'plus$p'| A__questionmark_v0 A__questionmark_v1)) A__questionmark_v2) (|tptp.'plus$q'| (|tptp.'fun_app$v'| (|tptp.'cblinfun_apply$c'| A__questionmark_v0) A__questionmark_v2) (|tptp.'fun_app$v'| (|tptp.'cblinfun_apply$c'| A__questionmark_v1) A__questionmark_v2)))) (forall ((A__questionmark_v0 |tptp.'B_d_prod_ell2_a_c_prod_ell2_cblinfun$'|) (A__questionmark_v1 |tptp.'B_d_prod_ell2_a_c_prod_ell2_cblinfun$'|) (A__questionmark_v2 |tptp.'B_d_prod_ell2$'|)) (= (|tptp.'fun_app$w'| (|tptp.'cblinfun_apply$s'| (|tptp.'plus$r'| A__questionmark_v0 A__questionmark_v1)) A__questionmark_v2) (|tptp.'plus$m'| (|tptp.'fun_app$w'| (|tptp.'cblinfun_apply$s'| A__questionmark_v0) A__questionmark_v2) (|tptp.'fun_app$w'| (|tptp.'cblinfun_apply$s'| A__questionmark_v1) A__questionmark_v2)))) (forall ((A__questionmark_v0 |tptp.'A_ell2_b_ell2_cblinfun$'|) (A__questionmark_v1 |tptp.'A_ell2_b_ell2_cblinfun$'|) (A__questionmark_v2 |tptp.'A_ell2$'|)) (= (|tptp.'fun_app$t'| (|tptp.'cblinfun_apply$a'| (|tptp.'plus$s'| A__questionmark_v0 A__questionmark_v1)) A__questionmark_v2) (|tptp.'plus$t'| (|tptp.'fun_app$t'| (|tptp.'cblinfun_apply$a'| A__questionmark_v0) A__questionmark_v2) (|tptp.'fun_app$t'| (|tptp.'cblinfun_apply$a'| A__questionmark_v1) A__questionmark_v2)))) _let_5 _let_4 (forall ((A__questionmark_v0 |tptp.'C_ell2_d_ell2_cblinfun_c_ell2_d_ell2_cblinfun_cblinfun$'|) (A__questionmark_v1 |tptp.'C_ell2_d_ell2_cblinfun_c_ell2_d_ell2_cblinfun_cblinfun$'|) (A__questionmark_v2 |tptp.'C_ell2_d_ell2_cblinfun$'|)) (= (|tptp.'fun_app$m'| (|tptp.'cblinfun_apply$r'| (|tptp.'plus$o'| A__questionmark_v0 A__questionmark_v1)) A__questionmark_v2) (|tptp.'fun_app$m'| (|tptp.'fun_app$n'| |tptp.'plus$a'| (|tptp.'fun_app$m'| (|tptp.'cblinfun_apply$r'| A__questionmark_v0) A__questionmark_v2)) (|tptp.'fun_app$m'| (|tptp.'cblinfun_apply$r'| A__questionmark_v1) A__questionmark_v2)))) (forall ((A__questionmark_v0 |tptp.'A_c_prod_a_c_prod_prod_ell2_b_d_prod_b_d_prod_prod_ell2_cblinfun$'|) (A__questionmark_v1 |tptp.'A_c_prod_a_c_prod_prod_ell2_b_d_prod_b_d_prod_prod_ell2_cblinfun$'|) (A__questionmark_v2 |tptp.'A_c_prod_a_c_prod_prod_ell2$'|)) (= (|tptp.'fun_app$v'| (|tptp.'cblinfun_apply$c'| (|tptp.'plus$p'| A__questionmark_v0 A__questionmark_v1)) A__questionmark_v2) (|tptp.'plus$q'| (|tptp.'fun_app$v'| (|tptp.'cblinfun_apply$c'| A__questionmark_v0) A__questionmark_v2) (|tptp.'fun_app$v'| (|tptp.'cblinfun_apply$c'| A__questionmark_v1) A__questionmark_v2)))) (forall ((A__questionmark_v0 |tptp.'B_d_prod_ell2_a_c_prod_ell2_cblinfun$'|) (A__questionmark_v1 |tptp.'B_d_prod_ell2_a_c_prod_ell2_cblinfun$'|) (A__questionmark_v2 |tptp.'B_d_prod_ell2$'|)) (= (|tptp.'fun_app$w'| (|tptp.'cblinfun_apply$s'| (|tptp.'plus$r'| A__questionmark_v0 A__questionmark_v1)) A__questionmark_v2) (|tptp.'plus$m'| (|tptp.'fun_app$w'| (|tptp.'cblinfun_apply$s'| A__questionmark_v0) A__questionmark_v2) (|tptp.'fun_app$w'| (|tptp.'cblinfun_apply$s'| A__questionmark_v1) A__questionmark_v2)))) (forall ((A__questionmark_v0 |tptp.'A_ell2_b_ell2_cblinfun$'|) (A__questionmark_v1 |tptp.'A_ell2_b_ell2_cblinfun$'|) (A__questionmark_v2 |tptp.'A_ell2$'|)) (= (|tptp.'fun_app$t'| (|tptp.'cblinfun_apply$a'| (|tptp.'plus$s'| A__questionmark_v0 A__questionmark_v1)) A__questionmark_v2) (|tptp.'plus$t'| (|tptp.'fun_app$t'| (|tptp.'cblinfun_apply$a'| A__questionmark_v0) A__questionmark_v2) (|tptp.'fun_app$t'| (|tptp.'cblinfun_apply$a'| A__questionmark_v1) A__questionmark_v2)))) (forall ((A__questionmark_v0 |tptp.'C_ell2_d_ell2_cblinfun$'|) (A__questionmark_v1 |tptp.'C_ell2_d_ell2_cblinfun$'|) (A__questionmark_v2 |tptp.'C_ell2$'|)) (= (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| (|tptp.'fun_app$m'| (|tptp.'fun_app$n'| |tptp.'plus$a'| A__questionmark_v0) A__questionmark_v1)) A__questionmark_v2) (|tptp.'plus$i'| (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| A__questionmark_v0) A__questionmark_v2) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| A__questionmark_v1) A__questionmark_v2)))) (forall ((A__questionmark_v0 |tptp.'A_c_prod_ell2_b_d_prod_ell2_cblinfun$'|) (A__questionmark_v1 |tptp.'A_c_prod_ell2_b_d_prod_ell2_cblinfun$'|) (A__questionmark_v2 |tptp.'A_c_prod_ell2$'|)) (= (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| (|tptp.'fun_app$r'| (|tptp.'fun_app$s'| |tptp.'plus$b'| A__questionmark_v0) A__questionmark_v1)) A__questionmark_v2) (|tptp.'plus$u'| (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| A__questionmark_v0) A__questionmark_v2) (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| A__questionmark_v1) A__questionmark_v2)))) (forall ((A__questionmark_v0 |tptp.'A$'|) (A__questionmark_v1 |tptp.'A$'|)) (= (= (|tptp.'ket$a'| A__questionmark_v0) (|tptp.'ket$a'| A__questionmark_v1)) (= A__questionmark_v0 A__questionmark_v1))) (forall ((A__questionmark_v0 |tptp.'C$'|) (A__questionmark_v1 |tptp.'C$'|)) (= (= (|tptp.'ket$b'| A__questionmark_v0) (|tptp.'ket$b'| A__questionmark_v1)) (= A__questionmark_v0 A__questionmark_v1))) (forall ((A__questionmark_v0 |tptp.'A_c_prod_a_c_prod_prod$'|) (A__questionmark_v1 |tptp.'A_c_prod_a_c_prod_prod$'|)) (= (= (|tptp.'ket$c'| A__questionmark_v0) (|tptp.'ket$c'| A__questionmark_v1)) (= A__questionmark_v0 A__questionmark_v1))) (forall ((A__questionmark_v0 |tptp.'A_c_prod$'|) (A__questionmark_v1 |tptp.'A_c_prod$'|)) (= (= (|tptp.'fun_app$o'| |tptp.'ket$'| A__questionmark_v0) (|tptp.'fun_app$o'| |tptp.'ket$'| A__questionmark_v1)) (= A__questionmark_v0 A__questionmark_v1))) (forall ((A__questionmark_v0 |tptp.'A_c_prod_a_c_prod_prod_ell2_b_d_prod_b_d_prod_prod_ell2_cblinfun$'|) (A__questionmark_v1 |tptp.'A_c_prod_a_c_prod_prod_ell2_b_d_prod_b_d_prod_prod_ell2_cblinfun$'|)) (=> (forall ((A__questionmark_v2 |tptp.'A_c_prod_a_c_prod_prod$'|)) (let ((_let_1 (|tptp.'ket$c'| A__questionmark_v2))) (= (|tptp.'fun_app$v'| (|tptp.'cblinfun_apply$c'| A__questionmark_v0) _let_1) (|tptp.'fun_app$v'| (|tptp.'cblinfun_apply$c'| A__questionmark_v1) _let_1)))) (= A__questionmark_v0 A__questionmark_v1))) (forall ((A__questionmark_v0 |tptp.'B_d_prod_ell2_a_c_prod_ell2_cblinfun$'|) (A__questionmark_v1 |tptp.'B_d_prod_ell2_a_c_prod_ell2_cblinfun$'|)) (=> (forall ((A__questionmark_v2 |tptp.'B_d_prod$'|)) (let ((_let_1 (|tptp.'ket$g'| A__questionmark_v2))) (= (|tptp.'fun_app$w'| (|tptp.'cblinfun_apply$s'| A__questionmark_v0) _let_1) (|tptp.'fun_app$w'| (|tptp.'cblinfun_apply$s'| A__questionmark_v1) _let_1)))) (= A__questionmark_v0 A__questionmark_v1))) (forall ((A__questionmark_v0 |tptp.'C_ell2_d_ell2_cblinfun$'|) (A__questionmark_v1 |tptp.'C_ell2_d_ell2_cblinfun$'|)) (=> (forall ((A__questionmark_v2 |tptp.'C$'|)) (let ((_let_1 (|tptp.'ket$b'| A__questionmark_v2))) (= (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| A__questionmark_v0) _let_1) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| A__questionmark_v1) _let_1)))) (= A__questionmark_v0 A__questionmark_v1))) (forall ((A__questionmark_v0 |tptp.'A_ell2_b_ell2_cblinfun$'|) (A__questionmark_v1 |tptp.'A_ell2_b_ell2_cblinfun$'|)) (=> (forall ((A__questionmark_v2 |tptp.'A$'|)) (let ((_let_1 (|tptp.'ket$a'| A__questionmark_v2))) (= (|tptp.'fun_app$t'| (|tptp.'cblinfun_apply$a'| A__questionmark_v0) _let_1) (|tptp.'fun_app$t'| (|tptp.'cblinfun_apply$a'| A__questionmark_v1) _let_1)))) (= A__questionmark_v0 A__questionmark_v1))) (forall ((A__questionmark_v0 |tptp.'A_c_prod_ell2_b_d_prod_ell2_cblinfun$'|) (A__questionmark_v1 |tptp.'A_c_prod_ell2_b_d_prod_ell2_cblinfun$'|)) (=> (forall ((A__questionmark_v2 |tptp.'A_c_prod$'|)) (let ((_let_1 (|tptp.'fun_app$o'| |tptp.'ket$'| A__questionmark_v2))) (= (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| A__questionmark_v0) _let_1) (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| A__questionmark_v1) _let_1)))) (= A__questionmark_v0 A__questionmark_v1))) (forall ((A__questionmark_v0 |tptp.'A_c_prod_ell2$'|) (A__questionmark_v1 |tptp.'A_c_prod_ell2$'|) (A__questionmark_v2 |tptp.'A_c_prod_ell2$'|)) (= (= (|tptp.'plus$m'| A__questionmark_v0 A__questionmark_v1) (|tptp.'plus$m'| A__questionmark_v0 A__questionmark_v2)) (= A__questionmark_v1 A__questionmark_v2))) (forall ((A__questionmark_v0 |tptp.'D_ell2$'|) (A__questionmark_v1 |tptp.'D_ell2$'|) (A__questionmark_v2 |tptp.'D_ell2$'|)) (= (= (|tptp.'plus$i'| A__questionmark_v0 A__questionmark_v1) (|tptp.'plus$i'| A__questionmark_v0 A__questionmark_v2)) (= A__questionmark_v1 A__questionmark_v2))) (forall ((A__questionmark_v0 |tptp.'Complex$'|) (A__questionmark_v1 |tptp.'Complex$'|) (A__questionmark_v2 |tptp.'Complex$'|)) (= (= (|tptp.'plus$'| A__questionmark_v0 A__questionmark_v1) (|tptp.'plus$'| A__questionmark_v0 A__questionmark_v2)) (= A__questionmark_v1 A__questionmark_v2))) (forall ((A__questionmark_v0 |tptp.'C_ell2_d_ell2_cblinfun$'|) (A__questionmark_v1 |tptp.'C_ell2_d_ell2_cblinfun$'|) (A__questionmark_v2 |tptp.'C_ell2_d_ell2_cblinfun$'|)) (let ((_let_1 (|tptp.'fun_app$n'| |tptp.'plus$a'| A__questionmark_v0))) (= (= (|tptp.'fun_app$m'| _let_1 A__questionmark_v1) (|tptp.'fun_app$m'| _let_1 A__questionmark_v2)) (= A__questionmark_v1 A__questionmark_v2)))) (forall ((A__questionmark_v0 |tptp.'A_c_prod_ell2_b_d_prod_ell2_cblinfun$'|) (A__questionmark_v1 |tptp.'A_c_prod_ell2_b_d_prod_ell2_cblinfun$'|) (A__questionmark_v2 |tptp.'A_c_prod_ell2_b_d_prod_ell2_cblinfun$'|)) (let ((_let_1 (|tptp.'fun_app$s'| |tptp.'plus$b'| A__questionmark_v0))) (= (= (|tptp.'fun_app$r'| _let_1 A__questionmark_v1) (|tptp.'fun_app$r'| _let_1 A__questionmark_v2)) (= A__questionmark_v1 A__questionmark_v2)))) (forall ((A__questionmark_v0 |tptp.'A_c_prod_ell2$'|) (A__questionmark_v1 |tptp.'A_c_prod_ell2$'|) (A__questionmark_v2 |tptp.'A_c_prod_ell2$'|)) (= (= (|tptp.'plus$m'| A__questionmark_v0 A__questionmark_v1) (|tptp.'plus$m'| A__questionmark_v2 A__questionmark_v1)) (= A__questionmark_v0 A__questionmark_v2))) (forall ((A__questionmark_v0 |tptp.'D_ell2$'|) (A__questionmark_v1 |tptp.'D_ell2$'|) (A__questionmark_v2 |tptp.'D_ell2$'|)) (= (= (|tptp.'plus$i'| A__questionmark_v0 A__questionmark_v1) (|tptp.'plus$i'| A__questionmark_v2 A__questionmark_v1)) (= A__questionmark_v0 A__questionmark_v2))) (forall ((A__questionmark_v0 |tptp.'Complex$'|) (A__questionmark_v1 |tptp.'Complex$'|) (A__questionmark_v2 |tptp.'Complex$'|)) (= (= (|tptp.'plus$'| A__questionmark_v0 A__questionmark_v1) (|tptp.'plus$'| A__questionmark_v2 A__questionmark_v1)) (= A__questionmark_v0 A__questionmark_v2))) (forall ((A__questionmark_v0 |tptp.'C_ell2_d_ell2_cblinfun$'|) (A__questionmark_v1 |tptp.'C_ell2_d_ell2_cblinfun$'|) (A__questionmark_v2 |tptp.'C_ell2_d_ell2_cblinfun$'|)) (= (= (|tptp.'fun_app$m'| (|tptp.'fun_app$n'| |tptp.'plus$a'| A__questionmark_v0) A__questionmark_v1) (|tptp.'fun_app$m'| (|tptp.'fun_app$n'| |tptp.'plus$a'| A__questionmark_v2) A__questionmark_v1)) (= A__questionmark_v0 A__questionmark_v2))) (forall ((A__questionmark_v0 |tptp.'A_c_prod_ell2_b_d_prod_ell2_cblinfun$'|) (A__questionmark_v1 |tptp.'A_c_prod_ell2_b_d_prod_ell2_cblinfun$'|) (A__questionmark_v2 |tptp.'A_c_prod_ell2_b_d_prod_ell2_cblinfun$'|)) (= (= (|tptp.'fun_app$r'| (|tptp.'fun_app$s'| |tptp.'plus$b'| A__questionmark_v0) A__questionmark_v1) (|tptp.'fun_app$r'| (|tptp.'fun_app$s'| |tptp.'plus$b'| A__questionmark_v2) A__questionmark_v1)) (= A__questionmark_v0 A__questionmark_v2))) (forall ((A__questionmark_v0 |tptp.'B_d_prod_ell2$'|) (A__questionmark_v1 |tptp.'B_d_prod_ell2_set$'|) (A__questionmark_v2 |tptp.'B_d_prod_ell2$'|) (A__questionmark_v3 |tptp.'B_d_prod_ell2_set$'|)) (=> (and (|tptp.'member$b'| A__questionmark_v0 A__questionmark_v1) (|tptp.'member$b'| A__questionmark_v2 A__questionmark_v3)) (|tptp.'member$b'| (|tptp.'plus$u'| A__questionmark_v0 A__questionmark_v2) (|tptp.'plus$v'| A__questionmark_v1 A__questionmark_v3)))) (forall ((A__questionmark_v0 |tptp.'A_c_prod_ell2$'|) (A__questionmark_v1 |tptp.'A_c_prod_ell2_set$'|) (A__questionmark_v2 |tptp.'A_c_prod_ell2$'|) (A__questionmark_v3 |tptp.'A_c_prod_ell2_set$'|)) (=> (and (|tptp.'member$c'| A__questionmark_v0 A__questionmark_v1) (|tptp.'member$c'| A__questionmark_v2 A__questionmark_v3)) (|tptp.'member$c'| (|tptp.'plus$m'| A__questionmark_v0 A__questionmark_v2) (|tptp.'plus$w'| A__questionmark_v1 A__questionmark_v3)))) (forall ((A__questionmark_v0 |tptp.'D_ell2$'|) (A__questionmark_v1 |tptp.'D_ell2_set$'|) (A__questionmark_v2 |tptp.'D_ell2$'|) (A__questionmark_v3 |tptp.'D_ell2_set$'|)) (=> (and (|tptp.'member$e'| A__questionmark_v0 A__questionmark_v1) (|tptp.'member$e'| A__questionmark_v2 A__questionmark_v3)) (|tptp.'member$e'| (|tptp.'plus$i'| A__questionmark_v0 A__questionmark_v2) (|tptp.'plus$x'| A__questionmark_v1 A__questionmark_v3)))) (forall ((A__questionmark_v0 |tptp.'Complex$'|) (A__questionmark_v1 |tptp.'Complex_set$'|) (A__questionmark_v2 |tptp.'Complex$'|) (A__questionmark_v3 |tptp.'Complex_set$'|)) (=> (and (|tptp.'member$f'| A__questionmark_v0 A__questionmark_v1) (|tptp.'member$f'| A__questionmark_v2 A__questionmark_v3)) (|tptp.'member$f'| (|tptp.'plus$'| A__questionmark_v0 A__questionmark_v2) (|tptp.'plus$y'| A__questionmark_v1 A__questionmark_v3)))) (forall ((A__questionmark_v0 |tptp.'A_c_prod_ell2_b_d_prod_ell2_cblinfun_set$'|) (A__questionmark_v1 |tptp.'A_c_prod_ell2_b_d_prod_ell2_cblinfun_set_set$'|) (A__questionmark_v2 |tptp.'A_c_prod_ell2_b_d_prod_ell2_cblinfun_set$'|) (A__questionmark_v3 |tptp.'A_c_prod_ell2_b_d_prod_ell2_cblinfun_set_set$'|)) (=> (and (|tptp.'member$g'| A__questionmark_v0 A__questionmark_v1) (|tptp.'member$g'| A__questionmark_v2 A__questionmark_v3)) (|tptp.'member$g'| (|tptp.'plus$z'| A__questionmark_v0 A__questionmark_v2) (|tptp.'plus$aa'| A__questionmark_v1 A__questionmark_v3)))) (forall ((A__questionmark_v0 |tptp.'C_ell2_d_ell2_cblinfun_set$'|) (A__questionmark_v1 |tptp.'C_ell2_d_ell2_cblinfun_set_set$'|) (A__questionmark_v2 |tptp.'C_ell2_d_ell2_cblinfun_set$'|) (A__questionmark_v3 |tptp.'C_ell2_d_ell2_cblinfun_set_set$'|)) (=> (and (|tptp.'member$h'| A__questionmark_v0 A__questionmark_v1) (|tptp.'member$h'| A__questionmark_v2 A__questionmark_v3)) (|tptp.'member$h'| (|tptp.'plus$ab'| A__questionmark_v0 A__questionmark_v2) (|tptp.'plus$ac'| A__questionmark_v1 A__questionmark_v3)))) (forall ((A__questionmark_v0 |tptp.'C_ell2_d_ell2_cblinfun$'|) (A__questionmark_v1 |tptp.'C_ell2_d_ell2_cblinfun_set$'|) (A__questionmark_v2 |tptp.'C_ell2_d_ell2_cblinfun$'|) (A__questionmark_v3 |tptp.'C_ell2_d_ell2_cblinfun_set$'|)) (=> (and (|tptp.'member$i'| A__questionmark_v0 A__questionmark_v1) (|tptp.'member$i'| A__questionmark_v2 A__questionmark_v3)) (|tptp.'member$i'| (|tptp.'fun_app$m'| (|tptp.'fun_app$n'| |tptp.'plus$a'| A__questionmark_v0) A__questionmark_v2) (|tptp.'plus$ab'| A__questionmark_v1 A__questionmark_v3)))) (forall ((A__questionmark_v0 |tptp.'A_c_prod_ell2_b_d_prod_ell2_cblinfun$'|) (A__questionmark_v1 |tptp.'A_c_prod_ell2_b_d_prod_ell2_cblinfun_set$'|) (A__questionmark_v2 |tptp.'A_c_prod_ell2_b_d_prod_ell2_cblinfun$'|) (A__questionmark_v3 |tptp.'A_c_prod_ell2_b_d_prod_ell2_cblinfun_set$'|)) (=> (and (|tptp.'member$j'| A__questionmark_v0 A__questionmark_v1) (|tptp.'member$j'| A__questionmark_v2 A__questionmark_v3)) (|tptp.'member$j'| (|tptp.'fun_app$r'| (|tptp.'fun_app$s'| |tptp.'plus$b'| A__questionmark_v0) A__questionmark_v2) (|tptp.'plus$z'| A__questionmark_v1 A__questionmark_v3)))) (forall ((A__questionmark_v0 |tptp.'A_c_prod_ell2_b_d_prod_ell2_cblinfun$'|) (A__questionmark_v1 |tptp.'C_ell2_d_ell2_cblinfun$'|) (A__questionmark_v2 |tptp.'A_c_prod_ell2_b_d_prod_ell2_cblinfun$'|) (A__questionmark_v3 |tptp.'C_ell2_d_ell2_cblinfun$'|)) (= (= (|tptp.'pair$c'| A__questionmark_v0 A__questionmark_v1) (|tptp.'pair$c'| A__questionmark_v2 A__questionmark_v3)) (and (= A__questionmark_v0 A__questionmark_v2) (= A__questionmark_v1 A__questionmark_v3)))) (forall ((A__questionmark_v0 |tptp.'C_ell2_d_ell2_cblinfun$'|) (A__questionmark_v1 |tptp.'A_c_prod_ell2_b_d_prod_ell2_cblinfun$'|) (A__questionmark_v2 |tptp.'C_ell2_d_ell2_cblinfun$'|) (A__questionmark_v3 |tptp.'A_c_prod_ell2_b_d_prod_ell2_cblinfun$'|)) (= (= (|tptp.'pair$b'| A__questionmark_v0 A__questionmark_v1) (|tptp.'pair$b'| A__questionmark_v2 A__questionmark_v3)) (and (= A__questionmark_v0 A__questionmark_v2) (= A__questionmark_v1 A__questionmark_v3)))) (forall ((A__questionmark_v0 |tptp.'C_ell2_d_ell2_cblinfun$'|) (A__questionmark_v1 |tptp.'C_ell2_d_ell2_cblinfun$'|) (A__questionmark_v2 |tptp.'C_ell2_d_ell2_cblinfun$'|) (A__questionmark_v3 |tptp.'C_ell2_d_ell2_cblinfun$'|)) (= (= (|tptp.'pair$a'| A__questionmark_v0 A__questionmark_v1) (|tptp.'pair$a'| A__questionmark_v2 A__questionmark_v3)) (and (= A__questionmark_v0 A__questionmark_v2) (= A__questionmark_v1 A__questionmark_v3)))) (forall ((A__questionmark_v0 |tptp.'A_c_prod$'|) (A__questionmark_v1 |tptp.'A_c_prod$'|) (A__questionmark_v2 |tptp.'A_c_prod$'|) (A__questionmark_v3 |tptp.'A_c_prod$'|)) (= (= (|tptp.'pair$k'| A__questionmark_v0 A__questionmark_v1) (|tptp.'pair$k'| A__questionmark_v2 A__questionmark_v3)) (and (= A__questionmark_v0 A__questionmark_v2) (= A__questionmark_v1 A__questionmark_v3)))) (forall ((A__questionmark_v0 |tptp.'C$'|) (A__questionmark_v1 |tptp.'A$'|) (A__questionmark_v2 |tptp.'C$'|) (A__questionmark_v3 |tptp.'A$'|)) (= (= (|tptp.'pair$l'| A__questionmark_v0 A__questionmark_v1) (|tptp.'pair$l'| A__questionmark_v2 A__questionmark_v3)) (and (= A__questionmark_v0 A__questionmark_v2) (= A__questionmark_v1 A__questionmark_v3)))) (forall ((A__questionmark_v0 |tptp.'A$'|) (A__questionmark_v1 |tptp.'C$'|) (A__questionmark_v2 |tptp.'A$'|) (A__questionmark_v3 |tptp.'C$'|)) (= (= (|tptp.'fun_app$p'| (|tptp.'fun_app$q'| |tptp.'pair$'| A__questionmark_v0) A__questionmark_v1) (|tptp.'fun_app$p'| (|tptp.'fun_app$q'| |tptp.'pair$'| A__questionmark_v2) A__questionmark_v3)) (and (= A__questionmark_v0 A__questionmark_v2) (= A__questionmark_v1 A__questionmark_v3)))) (forall ((A__questionmark_v0 |tptp.'A_c_prod_ell2_b_d_prod_ell2_cblinfun$'|) (A__questionmark_v1 |tptp.'C_ell2_d_ell2_cblinfun$'|) (A__questionmark_v2 |tptp.'A_c_prod_ell2_b_d_prod_ell2_cblinfun$'|) (A__questionmark_v3 |tptp.'C_ell2_d_ell2_cblinfun$'|)) (= (= (|tptp.'pair$c'| A__questionmark_v0 A__questionmark_v1) (|tptp.'pair$c'| A__questionmark_v2 A__questionmark_v3)) (and (= A__questionmark_v0 A__questionmark_v2) (= A__questionmark_v1 A__questionmark_v3)))) (forall ((A__questionmark_v0 |tptp.'C_ell2_d_ell2_cblinfun$'|) (A__questionmark_v1 |tptp.'A_c_prod_ell2_b_d_prod_ell2_cblinfun$'|) (A__questionmark_v2 |tptp.'C_ell2_d_ell2_cblinfun$'|) (A__questionmark_v3 |tptp.'A_c_prod_ell2_b_d_prod_ell2_cblinfun$'|)) (= (= (|tptp.'pair$b'| A__questionmark_v0 A__questionmark_v1) (|tptp.'pair$b'| A__questionmark_v2 A__questionmark_v3)) (and (= A__questionmark_v0 A__questionmark_v2) (= A__questionmark_v1 A__questionmark_v3)))) (forall ((A__questionmark_v0 |tptp.'C_ell2_d_ell2_cblinfun$'|) (A__questionmark_v1 |tptp.'C_ell2_d_ell2_cblinfun$'|) (A__questionmark_v2 |tptp.'C_ell2_d_ell2_cblinfun$'|) (A__questionmark_v3 |tptp.'C_ell2_d_ell2_cblinfun$'|)) (= (= (|tptp.'pair$a'| A__questionmark_v0 A__questionmark_v1) (|tptp.'pair$a'| A__questionmark_v2 A__questionmark_v3)) (and (= A__questionmark_v0 A__questionmark_v2) (= A__questionmark_v1 A__questionmark_v3)))) (forall ((A__questionmark_v0 |tptp.'A_c_prod$'|) (A__questionmark_v1 |tptp.'A_c_prod$'|) (A__questionmark_v2 |tptp.'A_c_prod$'|) (A__questionmark_v3 |tptp.'A_c_prod$'|)) (= (= (|tptp.'pair$k'| A__questionmark_v0 A__questionmark_v1) (|tptp.'pair$k'| A__questionmark_v2 A__questionmark_v3)) (and (= A__questionmark_v0 A__questionmark_v2) (= A__questionmark_v1 A__questionmark_v3)))) (forall ((A__questionmark_v0 |tptp.'C$'|) (A__questionmark_v1 |tptp.'A$'|) (A__questionmark_v2 |tptp.'C$'|) (A__questionmark_v3 |tptp.'A$'|)) (= (= (|tptp.'pair$l'| A__questionmark_v0 A__questionmark_v1) (|tptp.'pair$l'| A__questionmark_v2 A__questionmark_v3)) (and (= A__questionmark_v0 A__questionmark_v2) (= A__questionmark_v1 A__questionmark_v3)))) (forall ((A__questionmark_v0 |tptp.'A$'|) (A__questionmark_v1 |tptp.'C$'|) (A__questionmark_v2 |tptp.'A$'|) (A__questionmark_v3 |tptp.'C$'|)) (= (= (|tptp.'fun_app$p'| (|tptp.'fun_app$q'| |tptp.'pair$'| A__questionmark_v0) A__questionmark_v1) (|tptp.'fun_app$p'| (|tptp.'fun_app$q'| |tptp.'pair$'| A__questionmark_v2) A__questionmark_v3)) (and (= A__questionmark_v0 A__questionmark_v2) (= A__questionmark_v1 A__questionmark_v3)))) (forall ((A__questionmark_v0 |tptp.'A$'|) (A__questionmark_v1 |tptp.'C$'|)) (= (|tptp.'tensor_ell2$b'| (|tptp.'ket$a'| A__questionmark_v0) (|tptp.'ket$b'| A__questionmark_v1)) (|tptp.'fun_app$o'| |tptp.'ket$'| (|tptp.'fun_app$p'| (|tptp.'fun_app$q'| |tptp.'pair$'| A__questionmark_v0) A__questionmark_v1)))) (forall ((A__questionmark_v0 |tptp.'A_c_prod$'|) (A__questionmark_v1 |tptp.'A_c_prod$'|)) (= (|tptp.'tensor_ell2$e'| (|tptp.'fun_app$o'| |tptp.'ket$'| A__questionmark_v0) (|tptp.'fun_app$o'| |tptp.'ket$'| A__questionmark_v1)) (|tptp.'ket$c'| (|tptp.'pair$k'| A__questionmark_v0 A__questionmark_v1)))) (forall ((A__questionmark_v0 |tptp.'A$'|) (A__questionmark_v1 |tptp.'A$'|)) (= (|tptp.'tensor_ell2$f'| (|tptp.'ket$a'| A__questionmark_v0) (|tptp.'ket$a'| A__questionmark_v1)) (|tptp.'ket$e'| (|tptp.'pair$m'| A__questionmark_v0 A__questionmark_v1)))) (forall ((A__questionmark_v0 |tptp.'C$'|) (A__questionmark_v1 |tptp.'C$'|)) (= (|tptp.'tensor_ell2$g'| (|tptp.'ket$b'| A__questionmark_v0) (|tptp.'ket$b'| A__questionmark_v1)) (|tptp.'ket$f'| (|tptp.'pair$n'| A__questionmark_v0 A__questionmark_v1)))) (forall ((A__questionmark_v0 |tptp.'C$'|) (A__questionmark_v1 |tptp.'A$'|)) (= (|tptp.'tensor_ell2$h'| (|tptp.'ket$b'| A__questionmark_v0) (|tptp.'ket$a'| A__questionmark_v1)) (|tptp.'ket$d'| (|tptp.'pair$l'| A__questionmark_v0 A__questionmark_v1)))) (forall ((A__questionmark_v0 |tptp.'B$'|) (A__questionmark_v1 |tptp.'D$'|)) (= (|tptp.'tensor_ell2$'| (|tptp.'ket$h'| A__questionmark_v0) (|tptp.'ket$i'| A__questionmark_v1)) (|tptp.'ket$g'| (|tptp.'pair$o'| A__questionmark_v0 A__questionmark_v1)))) (forall ((A__questionmark_v0 |tptp.'A_c_prod$'|) (A__questionmark_v1 |tptp.'A$'|)) (= (|tptp.'tensor_ell2$i'| (|tptp.'fun_app$o'| |tptp.'ket$'| A__questionmark_v0) (|tptp.'ket$a'| A__questionmark_v1)) (|tptp.'ket$j'| (|tptp.'pair$p'| A__questionmark_v0 A__questionmark_v1)))) (forall ((A__questionmark_v0 |tptp.'A_c_prod$'|) (A__questionmark_v1 |tptp.'C$'|)) (= (|tptp.'tensor_ell2$j'| (|tptp.'fun_app$o'| |tptp.'ket$'| A__questionmark_v0) (|tptp.'ket$b'| A__questionmark_v1)) (|tptp.'ket$k'| (|tptp.'pair$q'| A__questionmark_v0 A__questionmark_v1)))) (forall ((A__questionmark_v0 |tptp.'A$'|) (A__questionmark_v1 |tptp.'A_c_prod$'|)) (= (|tptp.'tensor_ell2$k'| (|tptp.'ket$a'| A__questionmark_v0) (|tptp.'fun_app$o'| |tptp.'ket$'| A__questionmark_v1)) (|tptp.'ket$l'| (|tptp.'pair$r'| A__questionmark_v0 A__questionmark_v1)))) (forall ((A__questionmark_v0 |tptp.'C$'|) (A__questionmark_v1 |tptp.'A_c_prod$'|)) (= (|tptp.'tensor_ell2$l'| (|tptp.'ket$b'| A__questionmark_v0) (|tptp.'fun_app$o'| |tptp.'ket$'| A__questionmark_v1)) (|tptp.'ket$m'| (|tptp.'pair$s'| A__questionmark_v0 A__questionmark_v1)))) (forall ((A__questionmark_v0 |tptp.'B_ell2$'|) (A__questionmark_v1 |tptp.'B_ell2$'|) (A__questionmark_v2 |tptp.'D_ell2$'|)) (= (|tptp.'tensor_ell2$'| (|tptp.'plus$t'| A__questionmark_v0 A__questionmark_v1) A__questionmark_v2) (|tptp.'plus$u'| (|tptp.'tensor_ell2$'| A__questionmark_v0 A__questionmark_v2) (|tptp.'tensor_ell2$'| A__questionmark_v1 A__questionmark_v2)))) (forall ((A__questionmark_v0 |tptp.'B_d_prod_ell2$'|) (A__questionmark_v1 |tptp.'B_d_prod_ell2$'|) (A__questionmark_v2 |tptp.'B_d_prod_ell2$'|)) (= (|tptp.'tensor_ell2$a'| (|tptp.'plus$u'| A__questionmark_v0 A__questionmark_v1) A__questionmark_v2) (|tptp.'plus$q'| (|tptp.'tensor_ell2$a'| A__questionmark_v0 A__questionmark_v2) (|tptp.'tensor_ell2$a'| A__questionmark_v1 A__questionmark_v2)))) (forall ((A__questionmark_v0 |tptp.'A_ell2$'|) (A__questionmark_v1 |tptp.'A_ell2$'|) (A__questionmark_v2 |tptp.'C_ell2$'|)) (= (|tptp.'tensor_ell2$b'| (|tptp.'plus$ad'| A__questionmark_v0 A__questionmark_v1) A__questionmark_v2) (|tptp.'plus$m'| (|tptp.'tensor_ell2$b'| A__questionmark_v0 A__questionmark_v2) (|tptp.'tensor_ell2$b'| A__questionmark_v1 A__questionmark_v2)))) (forall ((A__questionmark_v0 |tptp.'A_c_prod_ell2$'|) (A__questionmark_v1 |tptp.'A_c_prod_ell2$'|) (A__questionmark_v2 |tptp.'A_c_prod_ell2$'|)) (= (|tptp.'tensor_ell2$e'| (|tptp.'plus$m'| A__questionmark_v0 A__questionmark_v1) A__questionmark_v2) (|tptp.'plus$ae'| (|tptp.'tensor_ell2$e'| A__questionmark_v0 A__questionmark_v2) (|tptp.'tensor_ell2$e'| A__questionmark_v1 A__questionmark_v2)))) _let_3 (forall ((A__questionmark_v0 |tptp.'B_d_prod_ell2$'|) (A__questionmark_v1 |tptp.'B_d_prod_ell2$'|) (A__questionmark_v2 |tptp.'B_d_prod_ell2$'|)) (= (|tptp.'tensor_ell2$a'| A__questionmark_v0 (|tptp.'plus$u'| A__questionmark_v1 A__questionmark_v2)) (|tptp.'plus$q'| (|tptp.'tensor_ell2$a'| A__questionmark_v0 A__questionmark_v1) (|tptp.'tensor_ell2$a'| A__questionmark_v0 A__questionmark_v2)))) (forall ((A__questionmark_v0 |tptp.'A_ell2$'|) (A__questionmark_v1 |tptp.'C_ell2$'|) (A__questionmark_v2 |tptp.'C_ell2$'|)) (= (|tptp.'tensor_ell2$b'| A__questionmark_v0 (|tptp.'plus$af'| A__questionmark_v1 A__questionmark_v2)) (|tptp.'plus$m'| (|tptp.'tensor_ell2$b'| A__questionmark_v0 A__questionmark_v1) (|tptp.'tensor_ell2$b'| A__questionmark_v0 A__questionmark_v2)))) (forall ((A__questionmark_v0 |tptp.'A_c_prod_ell2$'|) (A__questionmark_v1 |tptp.'A_c_prod_ell2$'|) (A__questionmark_v2 |tptp.'A_c_prod_ell2$'|)) (= (|tptp.'tensor_ell2$e'| A__questionmark_v0 (|tptp.'plus$m'| A__questionmark_v1 A__questionmark_v2)) (|tptp.'plus$ae'| (|tptp.'tensor_ell2$e'| A__questionmark_v0 A__questionmark_v1) (|tptp.'tensor_ell2$e'| A__questionmark_v0 A__questionmark_v2)))) (forall ((A__questionmark_v0 |tptp.'A_c_prod_a_c_prod_prod_bool_fun$'|) (A__questionmark_v1 |tptp.'A_c_prod_a_c_prod_prod$'|)) (=> (forall ((A__questionmark_v2 |tptp.'A_c_prod$'|) (A__questionmark_v3 |tptp.'A$'|) (A__questionmark_v4 |tptp.'C$'|)) (|tptp.'fun_app$x'| A__questionmark_v0 (|tptp.'pair$k'| A__questionmark_v2 (|tptp.'fun_app$p'| (|tptp.'fun_app$q'| |tptp.'pair$'| A__questionmark_v3) A__questionmark_v4)))) (|tptp.'fun_app$x'| A__questionmark_v0 A__questionmark_v1))) (forall ((A__questionmark_v0 |tptp.'A_c_prod_a_c_prod_prod$'|)) (=> (forall ((A__questionmark_v1 |tptp.'A_c_prod$'|) (A__questionmark_v2 |tptp.'A$'|) (A__questionmark_v3 |tptp.'C$'|)) (=> (= A__questionmark_v0 (|tptp.'pair$k'| A__questionmark_v1 (|tptp.'fun_app$p'| (|tptp.'fun_app$q'| |tptp.'pair$'| A__questionmark_v2) A__questionmark_v3))) false)) false)) (forall ((A__questionmark_v0 |tptp.'A_c_prod_ell2_b_d_prod_ell2_cblinfun$'|) (A__questionmark_v1 |tptp.'C_ell2_d_ell2_cblinfun$'|) (A__questionmark_v2 |tptp.'A_c_prod_ell2_b_d_prod_ell2_cblinfun$'|) (A__questionmark_v3 |tptp.'C_ell2_d_ell2_cblinfun$'|)) (=> (and (= (|tptp.'pair$c'| A__questionmark_v0 A__questionmark_v1) (|tptp.'pair$c'| A__questionmark_v2 A__questionmark_v3)) (=> (and (= A__questionmark_v0 A__questionmark_v2) (= A__questionmark_v1 A__questionmark_v3)) false)) false)) (forall ((A__questionmark_v0 |tptp.'C_ell2_d_ell2_cblinfun$'|) (A__questionmark_v1 |tptp.'A_c_prod_ell2_b_d_prod_ell2_cblinfun$'|) (A__questionmark_v2 |tptp.'C_ell2_d_ell2_cblinfun$'|) (A__questionmark_v3 |tptp.'A_c_prod_ell2_b_d_prod_ell2_cblinfun$'|)) (=> (and (= (|tptp.'pair$b'| A__questionmark_v0 A__questionmark_v1) (|tptp.'pair$b'| A__questionmark_v2 A__questionmark_v3)) (=> (and (= A__questionmark_v0 A__questionmark_v2) (= A__questionmark_v1 A__questionmark_v3)) false)) false)) (forall ((A__questionmark_v0 |tptp.'C_ell2_d_ell2_cblinfun$'|) (A__questionmark_v1 |tptp.'C_ell2_d_ell2_cblinfun$'|) (A__questionmark_v2 |tptp.'C_ell2_d_ell2_cblinfun$'|) (A__questionmark_v3 |tptp.'C_ell2_d_ell2_cblinfun$'|)) (=> (and (= (|tptp.'pair$a'| A__questionmark_v0 A__questionmark_v1) (|tptp.'pair$a'| A__questionmark_v2 A__questionmark_v3)) (=> (and (= A__questionmark_v0 A__questionmark_v2) (= A__questionmark_v1 A__questionmark_v3)) false)) false)) (forall ((A__questionmark_v0 |tptp.'A_c_prod$'|) (A__questionmark_v1 |tptp.'A_c_prod$'|) (A__questionmark_v2 |tptp.'A_c_prod$'|) (A__questionmark_v3 |tptp.'A_c_prod$'|)) (=> (and (= (|tptp.'pair$k'| A__questionmark_v0 A__questionmark_v1) (|tptp.'pair$k'| A__questionmark_v2 A__questionmark_v3)) (=> (and (= A__questionmark_v0 A__questionmark_v2) (= A__questionmark_v1 A__questionmark_v3)) false)) false)) (forall ((A__questionmark_v0 |tptp.'C$'|) (A__questionmark_v1 |tptp.'A$'|) (A__questionmark_v2 |tptp.'C$'|) (A__questionmark_v3 |tptp.'A$'|)) (=> (and (= (|tptp.'pair$l'| A__questionmark_v0 A__questionmark_v1) (|tptp.'pair$l'| A__questionmark_v2 A__questionmark_v3)) (=> (and (= A__questionmark_v0 A__questionmark_v2) (= A__questionmark_v1 A__questionmark_v3)) false)) false)) (forall ((A__questionmark_v0 |tptp.'A$'|) (A__questionmark_v1 |tptp.'C$'|) (A__questionmark_v2 |tptp.'A$'|) (A__questionmark_v3 |tptp.'C$'|)) (=> (and (= (|tptp.'fun_app$p'| (|tptp.'fun_app$q'| |tptp.'pair$'| A__questionmark_v0) A__questionmark_v1) (|tptp.'fun_app$p'| (|tptp.'fun_app$q'| |tptp.'pair$'| A__questionmark_v2) A__questionmark_v3)) (=> (and (= A__questionmark_v0 A__questionmark_v2) (= A__questionmark_v1 A__questionmark_v3)) false)) false)) (forall ((A__questionmark_v0 |tptp.'A_c_prod_ell2_b_d_prod_ell2_cblinfun_c_ell2_d_ell2_cblinfun_prod_bool_fun$'|) (A__questionmark_v1 |tptp.'A_c_prod_ell2_b_d_prod_ell2_cblinfun_c_ell2_d_ell2_cblinfun_prod$'|)) (=> (forall ((A__questionmark_v2 |tptp.'A_c_prod_ell2_b_d_prod_ell2_cblinfun$'|) (A__questionmark_v3 |tptp.'C_ell2_d_ell2_cblinfun$'|)) (|tptp.'fun_app$y'| A__questionmark_v0 (|tptp.'pair$c'| A__questionmark_v2 A__questionmark_v3))) (|tptp.'fun_app$y'| A__questionmark_v0 A__questionmark_v1))) (forall ((A__questionmark_v0 |tptp.'C_ell2_d_ell2_cblinfun_a_c_prod_ell2_b_d_prod_ell2_cblinfun_prod_bool_fun$'|) (A__questionmark_v1 |tptp.'C_ell2_d_ell2_cblinfun_a_c_prod_ell2_b_d_prod_ell2_cblinfun_prod$'|)) (=> (forall ((A__questionmark_v2 |tptp.'C_ell2_d_ell2_cblinfun$'|) (A__questionmark_v3 |tptp.'A_c_prod_ell2_b_d_prod_ell2_cblinfun$'|)) (|tptp.'fun_app$z'| A__questionmark_v0 (|tptp.'pair$b'| A__questionmark_v2 A__questionmark_v3))) (|tptp.'fun_app$z'| A__questionmark_v0 A__questionmark_v1))) (forall ((A__questionmark_v0 |tptp.'C_ell2_d_ell2_cblinfun_c_ell2_d_ell2_cblinfun_prod_bool_fun$'|) (A__questionmark_v1 |tptp.'C_ell2_d_ell2_cblinfun_c_ell2_d_ell2_cblinfun_prod$'|)) (=> (forall ((A__questionmark_v2 |tptp.'C_ell2_d_ell2_cblinfun$'|) (A__questionmark_v3 |tptp.'C_ell2_d_ell2_cblinfun$'|)) (|tptp.'fun_app$aa'| A__questionmark_v0 (|tptp.'pair$a'| A__questionmark_v2 A__questionmark_v3))) (|tptp.'fun_app$aa'| A__questionmark_v0 A__questionmark_v1))) (forall ((A__questionmark_v0 |tptp.'A_c_prod_a_c_prod_prod_bool_fun$'|) (A__questionmark_v1 |tptp.'A_c_prod_a_c_prod_prod$'|)) (=> (forall ((A__questionmark_v2 |tptp.'A_c_prod$'|) (A__questionmark_v3 |tptp.'A_c_prod$'|)) (|tptp.'fun_app$x'| A__questionmark_v0 (|tptp.'pair$k'| A__questionmark_v2 A__questionmark_v3))) (|tptp.'fun_app$x'| A__questionmark_v0 A__questionmark_v1))) (forall ((A__questionmark_v0 |tptp.'C_a_prod_bool_fun$'|) (A__questionmark_v1 |tptp.'C_a_prod$'|)) (=> (forall ((A__questionmark_v2 |tptp.'C$'|) (A__questionmark_v3 |tptp.'A$'|)) (|tptp.'fun_app$'| A__questionmark_v0 (|tptp.'pair$l'| A__questionmark_v2 A__questionmark_v3))) (|tptp.'fun_app$'| A__questionmark_v0 A__questionmark_v1))) (forall ((A__questionmark_v0 |tptp.'A_c_prod_bool_fun$'|) (A__questionmark_v1 |tptp.'A_c_prod$'|)) (=> (forall ((A__questionmark_v2 |tptp.'A$'|) (A__questionmark_v3 |tptp.'C$'|)) (|tptp.'fun_app$a'| A__questionmark_v0 (|tptp.'fun_app$p'| (|tptp.'fun_app$q'| |tptp.'pair$'| A__questionmark_v2) A__questionmark_v3))) (|tptp.'fun_app$a'| A__questionmark_v0 A__questionmark_v1))) (forall ((A__questionmark_v0 |tptp.'A_c_prod_ell2_b_d_prod_ell2_cblinfun_c_ell2_d_ell2_cblinfun_prod$'|)) (exists ((A__questionmark_v1 |tptp.'A_c_prod_ell2_b_d_prod_ell2_cblinfun$'|) (A__questionmark_v2 |tptp.'C_ell2_d_ell2_cblinfun$'|)) (= A__questionmark_v0 (|tptp.'pair$c'| A__questionmark_v1 A__questionmark_v2)))) (forall ((A__questionmark_v0 |tptp.'C_ell2_d_ell2_cblinfun_a_c_prod_ell2_b_d_prod_ell2_cblinfun_prod$'|)) (exists ((A__questionmark_v1 |tptp.'C_ell2_d_ell2_cblinfun$'|) (A__questionmark_v2 |tptp.'A_c_prod_ell2_b_d_prod_ell2_cblinfun$'|)) (= A__questionmark_v0 (|tptp.'pair$b'| A__questionmark_v1 A__questionmark_v2)))) (forall ((A__questionmark_v0 |tptp.'C_ell2_d_ell2_cblinfun_c_ell2_d_ell2_cblinfun_prod$'|)) (exists ((A__questionmark_v1 |tptp.'C_ell2_d_ell2_cblinfun$'|) (A__questionmark_v2 |tptp.'C_ell2_d_ell2_cblinfun$'|)) (= A__questionmark_v0 (|tptp.'pair$a'| A__questionmark_v1 A__questionmark_v2)))) (forall ((A__questionmark_v0 |tptp.'A_c_prod_a_c_prod_prod$'|)) (exists ((A__questionmark_v1 |tptp.'A_c_prod$'|) (A__questionmark_v2 |tptp.'A_c_prod$'|)) (= A__questionmark_v0 (|tptp.'pair$k'| A__questionmark_v1 A__questionmark_v2)))) (forall ((A__questionmark_v0 |tptp.'C_a_prod$'|)) (exists ((A__questionmark_v1 |tptp.'C$'|) (A__questionmark_v2 |tptp.'A$'|)) (= A__questionmark_v0 (|tptp.'pair$l'| A__questionmark_v1 A__questionmark_v2)))) (forall ((A__questionmark_v0 |tptp.'A_c_prod$'|)) (exists ((A__questionmark_v1 |tptp.'A$'|) (A__questionmark_v2 |tptp.'C$'|)) (= A__questionmark_v0 (|tptp.'fun_app$p'| (|tptp.'fun_app$q'| |tptp.'pair$'| A__questionmark_v1) A__questionmark_v2)))) (forall ((A__questionmark_v0 |tptp.'A_c_prod_ell2_b_d_prod_ell2_cblinfun_c_ell2_d_ell2_cblinfun_prod$'|)) (=> (forall ((A__questionmark_v1 |tptp.'A_c_prod_ell2_b_d_prod_ell2_cblinfun$'|) (A__questionmark_v2 |tptp.'C_ell2_d_ell2_cblinfun$'|)) (=> (= A__questionmark_v0 (|tptp.'pair$c'| A__questionmark_v1 A__questionmark_v2)) false)) false)) (forall ((A__questionmark_v0 |tptp.'C_ell2_d_ell2_cblinfun_a_c_prod_ell2_b_d_prod_ell2_cblinfun_prod$'|)) (=> (forall ((A__questionmark_v1 |tptp.'C_ell2_d_ell2_cblinfun$'|) (A__questionmark_v2 |tptp.'A_c_prod_ell2_b_d_prod_ell2_cblinfun$'|)) (=> (= A__questionmark_v0 (|tptp.'pair$b'| A__questionmark_v1 A__questionmark_v2)) false)) false)) (forall ((A__questionmark_v0 |tptp.'C_ell2_d_ell2_cblinfun_c_ell2_d_ell2_cblinfun_prod$'|)) (=> (forall ((A__questionmark_v1 |tptp.'C_ell2_d_ell2_cblinfun$'|) (A__questionmark_v2 |tptp.'C_ell2_d_ell2_cblinfun$'|)) (=> (= A__questionmark_v0 (|tptp.'pair$a'| A__questionmark_v1 A__questionmark_v2)) false)) false)) (forall ((A__questionmark_v0 |tptp.'A_c_prod_a_c_prod_prod$'|)) (=> (forall ((A__questionmark_v1 |tptp.'A_c_prod$'|) (A__questionmark_v2 |tptp.'A_c_prod$'|)) (=> (= A__questionmark_v0 (|tptp.'pair$k'| A__questionmark_v1 A__questionmark_v2)) false)) false)) (forall ((A__questionmark_v0 |tptp.'C_a_prod$'|)) (=> (forall ((A__questionmark_v1 |tptp.'C$'|) (A__questionmark_v2 |tptp.'A$'|)) (=> (= A__questionmark_v0 (|tptp.'pair$l'| A__questionmark_v1 A__questionmark_v2)) false)) false)) (forall ((A__questionmark_v0 |tptp.'A_c_prod$'|)) (=> (forall ((A__questionmark_v1 |tptp.'A$'|) (A__questionmark_v2 |tptp.'C$'|)) (=> (= A__questionmark_v0 (|tptp.'fun_app$p'| (|tptp.'fun_app$q'| |tptp.'pair$'| A__questionmark_v1) A__questionmark_v2)) false)) false)) (forall ((A__questionmark_v0 |tptp.'B_d_prod_ell2$'|) (A__questionmark_v1 |tptp.'B_d_prod_ell2_set$'|) (A__questionmark_v2 |tptp.'B_d_prod_ell2_set$'|)) (=> (and (|tptp.'member$b'| A__questionmark_v0 (|tptp.'plus$v'| A__questionmark_v1 A__questionmark_v2)) (forall ((A__questionmark_v3 |tptp.'B_d_prod_ell2$'|) (A__questionmark_v4 |tptp.'B_d_prod_ell2$'|)) (=> (and (= A__questionmark_v0 (|tptp.'plus$u'| A__questionmark_v3 A__questionmark_v4)) (|tptp.'member$b'| A__questionmark_v3 A__questionmark_v1) (|tptp.'member$b'| A__questionmark_v4 A__questionmark_v2)) false))) false)) (forall ((A__questionmark_v0 |tptp.'A_c_prod_ell2$'|) (A__questionmark_v1 |tptp.'A_c_prod_ell2_set$'|) (A__questionmark_v2 |tptp.'A_c_prod_ell2_set$'|)) (=> (and (|tptp.'member$c'| A__questionmark_v0 (|tptp.'plus$w'| A__questionmark_v1 A__questionmark_v2)) (forall ((A__questionmark_v3 |tptp.'A_c_prod_ell2$'|) (A__questionmark_v4 |tptp.'A_c_prod_ell2$'|)) (=> (and (= A__questionmark_v0 (|tptp.'plus$m'| A__questionmark_v3 A__questionmark_v4)) (|tptp.'member$c'| A__questionmark_v3 A__questionmark_v1) (|tptp.'member$c'| A__questionmark_v4 A__questionmark_v2)) false))) false)) (forall ((A__questionmark_v0 |tptp.'D_ell2$'|) (A__questionmark_v1 |tptp.'D_ell2_set$'|) (A__questionmark_v2 |tptp.'D_ell2_set$'|)) (=> (and (|tptp.'member$e'| A__questionmark_v0 (|tptp.'plus$x'| A__questionmark_v1 A__questionmark_v2)) (forall ((A__questionmark_v3 |tptp.'D_ell2$'|) (A__questionmark_v4 |tptp.'D_ell2$'|)) (=> (and (= A__questionmark_v0 (|tptp.'plus$i'| A__questionmark_v3 A__questionmark_v4)) (|tptp.'member$e'| A__questionmark_v3 A__questionmark_v1) (|tptp.'member$e'| A__questionmark_v4 A__questionmark_v2)) false))) false)) (forall ((A__questionmark_v0 |tptp.'Complex$'|) (A__questionmark_v1 |tptp.'Complex_set$'|) (A__questionmark_v2 |tptp.'Complex_set$'|)) (=> (and (|tptp.'member$f'| A__questionmark_v0 (|tptp.'plus$y'| A__questionmark_v1 A__questionmark_v2)) (forall ((A__questionmark_v3 |tptp.'Complex$'|) (A__questionmark_v4 |tptp.'Complex$'|)) (=> (and (= A__questionmark_v0 (|tptp.'plus$'| A__questionmark_v3 A__questionmark_v4)) (|tptp.'member$f'| A__questionmark_v3 A__questionmark_v1) (|tptp.'member$f'| A__questionmark_v4 A__questionmark_v2)) false))) false)) (forall ((A__questionmark_v0 |tptp.'A_c_prod_ell2_b_d_prod_ell2_cblinfun_set$'|) (A__questionmark_v1 |tptp.'A_c_prod_ell2_b_d_prod_ell2_cblinfun_set_set$'|) (A__questionmark_v2 |tptp.'A_c_prod_ell2_b_d_prod_ell2_cblinfun_set_set$'|)) (=> (and (|tptp.'member$g'| A__questionmark_v0 (|tptp.'plus$aa'| A__questionmark_v1 A__questionmark_v2)) (forall ((A__questionmark_v3 |tptp.'A_c_prod_ell2_b_d_prod_ell2_cblinfun_set$'|) (A__questionmark_v4 |tptp.'A_c_prod_ell2_b_d_prod_ell2_cblinfun_set$'|)) (=> (and (= A__questionmark_v0 (|tptp.'plus$z'| A__questionmark_v3 A__questionmark_v4)) (|tptp.'member$g'| A__questionmark_v3 A__questionmark_v1) (|tptp.'member$g'| A__questionmark_v4 A__questionmark_v2)) false))) false)) (forall ((A__questionmark_v0 |tptp.'C_ell2_d_ell2_cblinfun_set$'|) (A__questionmark_v1 |tptp.'C_ell2_d_ell2_cblinfun_set_set$'|) (A__questionmark_v2 |tptp.'C_ell2_d_ell2_cblinfun_set_set$'|)) (=> (and (|tptp.'member$h'| A__questionmark_v0 (|tptp.'plus$ac'| A__questionmark_v1 A__questionmark_v2)) (forall ((A__questionmark_v3 |tptp.'C_ell2_d_ell2_cblinfun_set$'|) (A__questionmark_v4 |tptp.'C_ell2_d_ell2_cblinfun_set$'|)) (=> (and (= A__questionmark_v0 (|tptp.'plus$ab'| A__questionmark_v3 A__questionmark_v4)) (|tptp.'member$h'| A__questionmark_v3 A__questionmark_v1) (|tptp.'member$h'| A__questionmark_v4 A__questionmark_v2)) false))) false)) (forall ((A__questionmark_v0 |tptp.'C_ell2_d_ell2_cblinfun$'|) (A__questionmark_v1 |tptp.'C_ell2_d_ell2_cblinfun_set$'|) (A__questionmark_v2 |tptp.'C_ell2_d_ell2_cblinfun_set$'|)) (=> (and (|tptp.'member$i'| A__questionmark_v0 (|tptp.'plus$ab'| A__questionmark_v1 A__questionmark_v2)) (forall ((A__questionmark_v3 |tptp.'C_ell2_d_ell2_cblinfun$'|) (A__questionmark_v4 |tptp.'C_ell2_d_ell2_cblinfun$'|)) (=> (and (= A__questionmark_v0 (|tptp.'fun_app$m'| (|tptp.'fun_app$n'| |tptp.'plus$a'| A__questionmark_v3) A__questionmark_v4)) (|tptp.'member$i'| A__questionmark_v3 A__questionmark_v1) (|tptp.'member$i'| A__questionmark_v4 A__questionmark_v2)) false))) false)) (forall ((A__questionmark_v0 |tptp.'A_c_prod_ell2_b_d_prod_ell2_cblinfun$'|) (A__questionmark_v1 |tptp.'A_c_prod_ell2_b_d_prod_ell2_cblinfun_set$'|) (A__questionmark_v2 |tptp.'A_c_prod_ell2_b_d_prod_ell2_cblinfun_set$'|)) (=> (and (|tptp.'member$j'| A__questionmark_v0 (|tptp.'plus$z'| A__questionmark_v1 A__questionmark_v2)) (forall ((A__questionmark_v3 |tptp.'A_c_prod_ell2_b_d_prod_ell2_cblinfun$'|) (A__questionmark_v4 |tptp.'A_c_prod_ell2_b_d_prod_ell2_cblinfun$'|)) (=> (and (= A__questionmark_v0 (|tptp.'fun_app$r'| (|tptp.'fun_app$s'| |tptp.'plus$b'| A__questionmark_v3) A__questionmark_v4)) (|tptp.'member$j'| A__questionmark_v3 A__questionmark_v1) (|tptp.'member$j'| A__questionmark_v4 A__questionmark_v2)) false))) false)) (forall ((A__questionmark_v0 |tptp.'A_c_prod_ell2$'|) (A__questionmark_v1 |tptp.'A_c_prod_ell2$'|) (A__questionmark_v2 |tptp.'A_c_prod_ell2$'|)) (=> (= (|tptp.'plus$m'| A__questionmark_v0 A__questionmark_v1) (|tptp.'plus$m'| A__questionmark_v2 A__questionmark_v1)) (= A__questionmark_v0 A__questionmark_v2))) (forall ((A__questionmark_v0 |tptp.'D_ell2$'|) (A__questionmark_v1 |tptp.'D_ell2$'|) (A__questionmark_v2 |tptp.'D_ell2$'|)) (=> (= (|tptp.'plus$i'| A__questionmark_v0 A__questionmark_v1) (|tptp.'plus$i'| A__questionmark_v2 A__questionmark_v1)) (= A__questionmark_v0 A__questionmark_v2))) (forall ((A__questionmark_v0 |tptp.'Complex$'|) (A__questionmark_v1 |tptp.'Complex$'|) (A__questionmark_v2 |tptp.'Complex$'|)) (=> (= (|tptp.'plus$'| A__questionmark_v0 A__questionmark_v1) (|tptp.'plus$'| A__questionmark_v2 A__questionmark_v1)) (= A__questionmark_v0 A__questionmark_v2))) (forall ((A__questionmark_v0 |tptp.'C_ell2_d_ell2_cblinfun$'|) (A__questionmark_v1 |tptp.'C_ell2_d_ell2_cblinfun$'|) (A__questionmark_v2 |tptp.'C_ell2_d_ell2_cblinfun$'|)) (=> (= (|tptp.'fun_app$m'| (|tptp.'fun_app$n'| |tptp.'plus$a'| A__questionmark_v0) A__questionmark_v1) (|tptp.'fun_app$m'| (|tptp.'fun_app$n'| |tptp.'plus$a'| A__questionmark_v2) A__questionmark_v1)) (= A__questionmark_v0 A__questionmark_v2))) (forall ((A__questionmark_v0 |tptp.'A_c_prod_ell2_b_d_prod_ell2_cblinfun$'|) (A__questionmark_v1 |tptp.'A_c_prod_ell2_b_d_prod_ell2_cblinfun$'|) (A__questionmark_v2 |tptp.'A_c_prod_ell2_b_d_prod_ell2_cblinfun$'|)) (=> (= (|tptp.'fun_app$r'| (|tptp.'fun_app$s'| |tptp.'plus$b'| A__questionmark_v0) A__questionmark_v1) (|tptp.'fun_app$r'| (|tptp.'fun_app$s'| |tptp.'plus$b'| A__questionmark_v2) A__questionmark_v1)) (= A__questionmark_v0 A__questionmark_v2))) (forall ((A__questionmark_v0 |tptp.'A_c_prod_ell2$'|) (A__questionmark_v1 |tptp.'A_c_prod_ell2$'|) (A__questionmark_v2 |tptp.'A_c_prod_ell2$'|)) (=> (= (|tptp.'plus$m'| A__questionmark_v0 A__questionmark_v1) (|tptp.'plus$m'| A__questionmark_v0 A__questionmark_v2)) (= A__questionmark_v1 A__questionmark_v2))) (forall ((A__questionmark_v0 |tptp.'D_ell2$'|) (A__questionmark_v1 |tptp.'D_ell2$'|) (A__questionmark_v2 |tptp.'D_ell2$'|)) (=> (= (|tptp.'plus$i'| A__questionmark_v0 A__questionmark_v1) (|tptp.'plus$i'| A__questionmark_v0 A__questionmark_v2)) (= A__questionmark_v1 A__questionmark_v2))) (forall ((A__questionmark_v0 |tptp.'Complex$'|) (A__questionmark_v1 |tptp.'Complex$'|) (A__questionmark_v2 |tptp.'Complex$'|)) (=> (= (|tptp.'plus$'| A__questionmark_v0 A__questionmark_v1) (|tptp.'plus$'| A__questionmark_v0 A__questionmark_v2)) (= A__questionmark_v1 A__questionmark_v2))) (forall ((A__questionmark_v0 |tptp.'C_ell2_d_ell2_cblinfun$'|) (A__questionmark_v1 |tptp.'C_ell2_d_ell2_cblinfun$'|) (A__questionmark_v2 |tptp.'C_ell2_d_ell2_cblinfun$'|)) (let ((_let_1 (|tptp.'fun_app$n'| |tptp.'plus$a'| A__questionmark_v0))) (=> (= (|tptp.'fun_app$m'| _let_1 A__questionmark_v1) (|tptp.'fun_app$m'| _let_1 A__questionmark_v2)) (= A__questionmark_v1 A__questionmark_v2)))) (forall ((A__questionmark_v0 |tptp.'A_c_prod_ell2_b_d_prod_ell2_cblinfun$'|) (A__questionmark_v1 |tptp.'A_c_prod_ell2_b_d_prod_ell2_cblinfun$'|) (A__questionmark_v2 |tptp.'A_c_prod_ell2_b_d_prod_ell2_cblinfun$'|)) (let ((_let_1 (|tptp.'fun_app$s'| |tptp.'plus$b'| A__questionmark_v0))) (=> (= (|tptp.'fun_app$r'| _let_1 A__questionmark_v1) (|tptp.'fun_app$r'| _let_1 A__questionmark_v2)) (= A__questionmark_v1 A__questionmark_v2)))) (forall ((A__questionmark_v0 |tptp.'A_c_prod_ell2$'|) (A__questionmark_v1 |tptp.'A_c_prod_ell2$'|) (A__questionmark_v2 |tptp.'A_c_prod_ell2$'|)) (= (|tptp.'plus$m'| A__questionmark_v0 (|tptp.'plus$m'| A__questionmark_v1 A__questionmark_v2)) (|tptp.'plus$m'| A__questionmark_v1 (|tptp.'plus$m'| A__questionmark_v0 A__questionmark_v2)))) (forall ((A__questionmark_v0 |tptp.'D_ell2$'|) (A__questionmark_v1 |tptp.'D_ell2$'|) (A__questionmark_v2 |tptp.'D_ell2$'|)) (= (|tptp.'plus$i'| A__questionmark_v0 (|tptp.'plus$i'| A__questionmark_v1 A__questionmark_v2)) (|tptp.'plus$i'| A__questionmark_v1 (|tptp.'plus$i'| A__questionmark_v0 A__questionmark_v2)))) (forall ((A__questionmark_v0 |tptp.'Complex$'|) (A__questionmark_v1 |tptp.'Complex$'|) (A__questionmark_v2 |tptp.'Complex$'|)) (= (|tptp.'plus$'| A__questionmark_v0 (|tptp.'plus$'| A__questionmark_v1 A__questionmark_v2)) (|tptp.'plus$'| A__questionmark_v1 (|tptp.'plus$'| A__questionmark_v0 A__questionmark_v2)))) (forall ((A__questionmark_v0 |tptp.'A_c_prod_ell2_b_d_prod_ell2_cblinfun_set$'|) (A__questionmark_v1 |tptp.'A_c_prod_ell2_b_d_prod_ell2_cblinfun_set$'|) (A__questionmark_v2 |tptp.'A_c_prod_ell2_b_d_prod_ell2_cblinfun_set$'|)) (= (|tptp.'plus$z'| A__questionmark_v0 (|tptp.'plus$z'| A__questionmark_v1 A__questionmark_v2)) (|tptp.'plus$z'| A__questionmark_v1 (|tptp.'plus$z'| A__questionmark_v0 A__questionmark_v2)))) (forall ((A__questionmark_v0 |tptp.'C_ell2_d_ell2_cblinfun_set$'|) (A__questionmark_v1 |tptp.'C_ell2_d_ell2_cblinfun_set$'|) (A__questionmark_v2 |tptp.'C_ell2_d_ell2_cblinfun_set$'|)) (= (|tptp.'plus$ab'| A__questionmark_v0 (|tptp.'plus$ab'| A__questionmark_v1 A__questionmark_v2)) (|tptp.'plus$ab'| A__questionmark_v1 (|tptp.'plus$ab'| A__questionmark_v0 A__questionmark_v2)))) (forall ((A__questionmark_v0 |tptp.'C_ell2_d_ell2_cblinfun$'|) (A__questionmark_v1 |tptp.'C_ell2_d_ell2_cblinfun$'|) (A__questionmark_v2 |tptp.'C_ell2_d_ell2_cblinfun$'|)) (let ((_let_1 (|tptp.'fun_app$n'| |tptp.'plus$a'| A__questionmark_v0))) (let ((_let_2 (|tptp.'fun_app$n'| |tptp.'plus$a'| A__questionmark_v1))) (= (|tptp.'fun_app$m'| _let_1 (|tptp.'fun_app$m'| _let_2 A__questionmark_v2)) (|tptp.'fun_app$m'| _let_2 (|tptp.'fun_app$m'| _let_1 A__questionmark_v2)))))) (forall ((A__questionmark_v0 |tptp.'A_c_prod_ell2_b_d_prod_ell2_cblinfun$'|) (A__questionmark_v1 |tptp.'A_c_prod_ell2_b_d_prod_ell2_cblinfun$'|) (A__questionmark_v2 |tptp.'A_c_prod_ell2_b_d_prod_ell2_cblinfun$'|)) (let ((_let_1 (|tptp.'fun_app$s'| |tptp.'plus$b'| A__questionmark_v0))) (let ((_let_2 (|tptp.'fun_app$s'| |tptp.'plus$b'| A__questionmark_v1))) (= (|tptp.'fun_app$r'| _let_1 (|tptp.'fun_app$r'| _let_2 A__questionmark_v2)) (|tptp.'fun_app$r'| _let_2 (|tptp.'fun_app$r'| _let_1 A__questionmark_v2)))))) (forall ((A__questionmark_v0 |tptp.'A_c_prod_ell2$'|) (A__questionmark_v1 |tptp.'A_c_prod_ell2$'|)) (= (|tptp.'plus$m'| A__questionmark_v0 A__questionmark_v1) (|tptp.'plus$m'| A__questionmark_v1 A__questionmark_v0))) (forall ((A__questionmark_v0 |tptp.'D_ell2$'|) (A__questionmark_v1 |tptp.'D_ell2$'|)) (= (|tptp.'plus$i'| A__questionmark_v0 A__questionmark_v1) (|tptp.'plus$i'| A__questionmark_v1 A__questionmark_v0))) (forall ((A__questionmark_v0 |tptp.'Complex$'|) (A__questionmark_v1 |tptp.'Complex$'|)) (= (|tptp.'plus$'| A__questionmark_v0 A__questionmark_v1) (|tptp.'plus$'| A__questionmark_v1 A__questionmark_v0))) (forall ((A__questionmark_v0 |tptp.'A_c_prod_ell2_b_d_prod_ell2_cblinfun_set$'|) (A__questionmark_v1 |tptp.'A_c_prod_ell2_b_d_prod_ell2_cblinfun_set$'|)) (= (|tptp.'plus$z'| A__questionmark_v0 A__questionmark_v1) (|tptp.'plus$z'| A__questionmark_v1 A__questionmark_v0))) (forall ((A__questionmark_v0 |tptp.'C_ell2_d_ell2_cblinfun_set$'|) (A__questionmark_v1 |tptp.'C_ell2_d_ell2_cblinfun_set$'|)) (= (|tptp.'plus$ab'| A__questionmark_v0 A__questionmark_v1) (|tptp.'plus$ab'| A__questionmark_v1 A__questionmark_v0))) (forall ((A__questionmark_v0 |tptp.'C_ell2_d_ell2_cblinfun$'|) (A__questionmark_v1 |tptp.'C_ell2_d_ell2_cblinfun$'|)) (= (|tptp.'fun_app$m'| (|tptp.'fun_app$n'| |tptp.'plus$a'| A__questionmark_v0) A__questionmark_v1) (|tptp.'fun_app$m'| (|tptp.'fun_app$n'| |tptp.'plus$a'| A__questionmark_v1) A__questionmark_v0))) (forall ((A__questionmark_v0 |tptp.'A_c_prod_ell2_b_d_prod_ell2_cblinfun$'|) (A__questionmark_v1 |tptp.'A_c_prod_ell2_b_d_prod_ell2_cblinfun$'|)) (= (|tptp.'fun_app$r'| (|tptp.'fun_app$s'| |tptp.'plus$b'| A__questionmark_v0) A__questionmark_v1) (|tptp.'fun_app$r'| (|tptp.'fun_app$s'| |tptp.'plus$b'| A__questionmark_v1) A__questionmark_v0))) (forall ((A__questionmark_v0 |tptp.'A_c_prod_ell2$'|) (A__questionmark_v1 |tptp.'A_c_prod_ell2$'|) (A__questionmark_v2 |tptp.'A_c_prod_ell2$'|)) (= (= (|tptp.'plus$m'| A__questionmark_v0 A__questionmark_v1) (|tptp.'plus$m'| A__questionmark_v2 A__questionmark_v1)) (= A__questionmark_v0 A__questionmark_v2))) (forall ((A__questionmark_v0 |tptp.'D_ell2$'|) (A__questionmark_v1 |tptp.'D_ell2$'|) (A__questionmark_v2 |tptp.'D_ell2$'|)) (= (= (|tptp.'plus$i'| A__questionmark_v0 A__questionmark_v1) (|tptp.'plus$i'| A__questionmark_v2 A__questionmark_v1)) (= A__questionmark_v0 A__questionmark_v2))) (forall ((A__questionmark_v0 |tptp.'Complex$'|) (A__questionmark_v1 |tptp.'Complex$'|) (A__questionmark_v2 |tptp.'Complex$'|)) (= (= (|tptp.'plus$'| A__questionmark_v0 A__questionmark_v1) (|tptp.'plus$'| A__questionmark_v2 A__questionmark_v1)) (= A__questionmark_v0 A__questionmark_v2))) (forall ((A__questionmark_v0 |tptp.'C_ell2_d_ell2_cblinfun$'|) (A__questionmark_v1 |tptp.'C_ell2_d_ell2_cblinfun$'|) (A__questionmark_v2 |tptp.'C_ell2_d_ell2_cblinfun$'|)) (= (= (|tptp.'fun_app$m'| (|tptp.'fun_app$n'| |tptp.'plus$a'| A__questionmark_v0) A__questionmark_v1) (|tptp.'fun_app$m'| (|tptp.'fun_app$n'| |tptp.'plus$a'| A__questionmark_v2) A__questionmark_v1)) (= A__questionmark_v0 A__questionmark_v2))) (forall ((A__questionmark_v0 |tptp.'A_c_prod_ell2_b_d_prod_ell2_cblinfun$'|) (A__questionmark_v1 |tptp.'A_c_prod_ell2_b_d_prod_ell2_cblinfun$'|) (A__questionmark_v2 |tptp.'A_c_prod_ell2_b_d_prod_ell2_cblinfun$'|)) (= (= (|tptp.'fun_app$r'| (|tptp.'fun_app$s'| |tptp.'plus$b'| A__questionmark_v0) A__questionmark_v1) (|tptp.'fun_app$r'| (|tptp.'fun_app$s'| |tptp.'plus$b'| A__questionmark_v2) A__questionmark_v1)) (= A__questionmark_v0 A__questionmark_v2))) (forall ((A__questionmark_v0 |tptp.'A_c_prod_ell2$'|) (A__questionmark_v1 |tptp.'A_c_prod_ell2$'|) (A__questionmark_v2 |tptp.'A_c_prod_ell2$'|)) (= (= (|tptp.'plus$m'| A__questionmark_v0 A__questionmark_v1) (|tptp.'plus$m'| A__questionmark_v0 A__questionmark_v2)) (= A__questionmark_v1 A__questionmark_v2))) (forall ((A__questionmark_v0 |tptp.'D_ell2$'|) (A__questionmark_v1 |tptp.'D_ell2$'|) (A__questionmark_v2 |tptp.'D_ell2$'|)) (= (= (|tptp.'plus$i'| A__questionmark_v0 A__questionmark_v1) (|tptp.'plus$i'| A__questionmark_v0 A__questionmark_v2)) (= A__questionmark_v1 A__questionmark_v2))) (forall ((A__questionmark_v0 |tptp.'Complex$'|) (A__questionmark_v1 |tptp.'Complex$'|) (A__questionmark_v2 |tptp.'Complex$'|)) (= (= (|tptp.'plus$'| A__questionmark_v0 A__questionmark_v1) (|tptp.'plus$'| A__questionmark_v0 A__questionmark_v2)) (= A__questionmark_v1 A__questionmark_v2))) (forall ((A__questionmark_v0 |tptp.'C_ell2_d_ell2_cblinfun$'|) (A__questionmark_v1 |tptp.'C_ell2_d_ell2_cblinfun$'|) (A__questionmark_v2 |tptp.'C_ell2_d_ell2_cblinfun$'|)) (let ((_let_1 (|tptp.'fun_app$n'| |tptp.'plus$a'| A__questionmark_v0))) (= (= (|tptp.'fun_app$m'| _let_1 A__questionmark_v1) (|tptp.'fun_app$m'| _let_1 A__questionmark_v2)) (= A__questionmark_v1 A__questionmark_v2)))) (forall ((A__questionmark_v0 |tptp.'A_c_prod_ell2_b_d_prod_ell2_cblinfun$'|) (A__questionmark_v1 |tptp.'A_c_prod_ell2_b_d_prod_ell2_cblinfun$'|) (A__questionmark_v2 |tptp.'A_c_prod_ell2_b_d_prod_ell2_cblinfun$'|)) (let ((_let_1 (|tptp.'fun_app$s'| |tptp.'plus$b'| A__questionmark_v0))) (= (= (|tptp.'fun_app$r'| _let_1 A__questionmark_v1) (|tptp.'fun_app$r'| _let_1 A__questionmark_v2)) (= A__questionmark_v1 A__questionmark_v2)))) (forall ((A__questionmark_v0 |tptp.'A_c_prod_ell2$'|) (A__questionmark_v1 |tptp.'A_c_prod_ell2$'|) (A__questionmark_v2 |tptp.'A_c_prod_ell2$'|)) (= (|tptp.'plus$m'| (|tptp.'plus$m'| A__questionmark_v0 A__questionmark_v1) A__questionmark_v2) (|tptp.'plus$m'| A__questionmark_v0 (|tptp.'plus$m'| A__questionmark_v1 A__questionmark_v2)))) (forall ((A__questionmark_v0 |tptp.'D_ell2$'|) (A__questionmark_v1 |tptp.'D_ell2$'|) (A__questionmark_v2 |tptp.'D_ell2$'|)) (= (|tptp.'plus$i'| (|tptp.'plus$i'| A__questionmark_v0 A__questionmark_v1) A__questionmark_v2) (|tptp.'plus$i'| A__questionmark_v0 (|tptp.'plus$i'| A__questionmark_v1 A__questionmark_v2)))) (forall ((A__questionmark_v0 |tptp.'Complex$'|) (A__questionmark_v1 |tptp.'Complex$'|) (A__questionmark_v2 |tptp.'Complex$'|)) (= (|tptp.'plus$'| (|tptp.'plus$'| A__questionmark_v0 A__questionmark_v1) A__questionmark_v2) (|tptp.'plus$'| A__questionmark_v0 (|tptp.'plus$'| A__questionmark_v1 A__questionmark_v2)))) (forall ((A__questionmark_v0 |tptp.'A_c_prod_ell2_b_d_prod_ell2_cblinfun_set$'|) (A__questionmark_v1 |tptp.'A_c_prod_ell2_b_d_prod_ell2_cblinfun_set$'|) (A__questionmark_v2 |tptp.'A_c_prod_ell2_b_d_prod_ell2_cblinfun_set$'|)) (= (|tptp.'plus$z'| (|tptp.'plus$z'| A__questionmark_v0 A__questionmark_v1) A__questionmark_v2) (|tptp.'plus$z'| A__questionmark_v0 (|tptp.'plus$z'| A__questionmark_v1 A__questionmark_v2)))) (forall ((A__questionmark_v0 |tptp.'C_ell2_d_ell2_cblinfun_set$'|) (A__questionmark_v1 |tptp.'C_ell2_d_ell2_cblinfun_set$'|) (A__questionmark_v2 |tptp.'C_ell2_d_ell2_cblinfun_set$'|)) (= (|tptp.'plus$ab'| (|tptp.'plus$ab'| A__questionmark_v0 A__questionmark_v1) A__questionmark_v2) (|tptp.'plus$ab'| A__questionmark_v0 (|tptp.'plus$ab'| A__questionmark_v1 A__questionmark_v2)))) (forall ((A__questionmark_v0 |tptp.'C_ell2_d_ell2_cblinfun$'|) (A__questionmark_v1 |tptp.'C_ell2_d_ell2_cblinfun$'|) (A__questionmark_v2 |tptp.'C_ell2_d_ell2_cblinfun$'|)) (let ((_let_1 (|tptp.'fun_app$n'| |tptp.'plus$a'| A__questionmark_v0))) (= (|tptp.'fun_app$m'| (|tptp.'fun_app$n'| |tptp.'plus$a'| (|tptp.'fun_app$m'| _let_1 A__questionmark_v1)) A__questionmark_v2) (|tptp.'fun_app$m'| _let_1 (|tptp.'fun_app$m'| (|tptp.'fun_app$n'| |tptp.'plus$a'| A__questionmark_v1) A__questionmark_v2))))) (forall ((A__questionmark_v0 |tptp.'A_c_prod_ell2_b_d_prod_ell2_cblinfun$'|) (A__questionmark_v1 |tptp.'A_c_prod_ell2_b_d_prod_ell2_cblinfun$'|) (A__questionmark_v2 |tptp.'A_c_prod_ell2_b_d_prod_ell2_cblinfun$'|)) (let ((_let_1 (|tptp.'fun_app$s'| |tptp.'plus$b'| A__questionmark_v0))) (= (|tptp.'fun_app$r'| (|tptp.'fun_app$s'| |tptp.'plus$b'| (|tptp.'fun_app$r'| _let_1 A__questionmark_v1)) A__questionmark_v2) (|tptp.'fun_app$r'| _let_1 (|tptp.'fun_app$r'| (|tptp.'fun_app$s'| |tptp.'plus$b'| A__questionmark_v1) A__questionmark_v2))))) (forall ((A__questionmark_v0 |tptp.'A_c_prod_ell2$'|) (A__questionmark_v1 |tptp.'A_c_prod_ell2$'|) (A__questionmark_v2 |tptp.'A_c_prod_ell2$'|) (A__questionmark_v3 |tptp.'A_c_prod_ell2$'|)) (=> (= A__questionmark_v0 (|tptp.'plus$m'| A__questionmark_v1 A__questionmark_v2)) (= (|tptp.'plus$m'| A__questionmark_v3 A__questionmark_v0) (|tptp.'plus$m'| A__questionmark_v1 (|tptp.'plus$m'| A__questionmark_v3 A__questionmark_v2))))) (forall ((A__questionmark_v0 |tptp.'D_ell2$'|) (A__questionmark_v1 |tptp.'D_ell2$'|) (A__questionmark_v2 |tptp.'D_ell2$'|) (A__questionmark_v3 |tptp.'D_ell2$'|)) (=> (= A__questionmark_v0 (|tptp.'plus$i'| A__questionmark_v1 A__questionmark_v2)) (= (|tptp.'plus$i'| A__questionmark_v3 A__questionmark_v0) (|tptp.'plus$i'| A__questionmark_v1 (|tptp.'plus$i'| A__questionmark_v3 A__questionmark_v2))))) (forall ((A__questionmark_v0 |tptp.'Complex$'|) (A__questionmark_v1 |tptp.'Complex$'|) (A__questionmark_v2 |tptp.'Complex$'|) (A__questionmark_v3 |tptp.'Complex$'|)) (=> (= A__questionmark_v0 (|tptp.'plus$'| A__questionmark_v1 A__questionmark_v2)) (= (|tptp.'plus$'| A__questionmark_v3 A__questionmark_v0) (|tptp.'plus$'| A__questionmark_v1 (|tptp.'plus$'| A__questionmark_v3 A__questionmark_v2))))) (forall ((A__questionmark_v0 |tptp.'A_c_prod_ell2_b_d_prod_ell2_cblinfun_set$'|) (A__questionmark_v1 |tptp.'A_c_prod_ell2_b_d_prod_ell2_cblinfun_set$'|) (A__questionmark_v2 |tptp.'A_c_prod_ell2_b_d_prod_ell2_cblinfun_set$'|) (A__questionmark_v3 |tptp.'A_c_prod_ell2_b_d_prod_ell2_cblinfun_set$'|)) (=> (= A__questionmark_v0 (|tptp.'plus$z'| A__questionmark_v1 A__questionmark_v2)) (= (|tptp.'plus$z'| A__questionmark_v3 A__questionmark_v0) (|tptp.'plus$z'| A__questionmark_v1 (|tptp.'plus$z'| A__questionmark_v3 A__questionmark_v2))))) (forall ((A__questionmark_v0 |tptp.'C_ell2_d_ell2_cblinfun_set$'|) (A__questionmark_v1 |tptp.'C_ell2_d_ell2_cblinfun_set$'|) (A__questionmark_v2 |tptp.'C_ell2_d_ell2_cblinfun_set$'|) (A__questionmark_v3 |tptp.'C_ell2_d_ell2_cblinfun_set$'|)) (=> (= A__questionmark_v0 (|tptp.'plus$ab'| A__questionmark_v1 A__questionmark_v2)) (= (|tptp.'plus$ab'| A__questionmark_v3 A__questionmark_v0) (|tptp.'plus$ab'| A__questionmark_v1 (|tptp.'plus$ab'| A__questionmark_v3 A__questionmark_v2))))) (forall ((A__questionmark_v0 |tptp.'C_ell2_d_ell2_cblinfun$'|) (A__questionmark_v1 |tptp.'C_ell2_d_ell2_cblinfun$'|) (A__questionmark_v2 |tptp.'C_ell2_d_ell2_cblinfun$'|) (A__questionmark_v3 |tptp.'C_ell2_d_ell2_cblinfun$'|)) (let ((_let_1 (|tptp.'fun_app$n'| |tptp.'plus$a'| A__questionmark_v3))) (let ((_let_2 (|tptp.'fun_app$n'| |tptp.'plus$a'| A__questionmark_v1))) (=> (= A__questionmark_v0 (|tptp.'fun_app$m'| _let_2 A__questionmark_v2)) (= (|tptp.'fun_app$m'| _let_1 A__questionmark_v0) (|tptp.'fun_app$m'| _let_2 (|tptp.'fun_app$m'| _let_1 A__questionmark_v2))))))) (forall ((A__questionmark_v0 |tptp.'A_c_prod_ell2_b_d_prod_ell2_cblinfun$'|) (A__questionmark_v1 |tptp.'A_c_prod_ell2_b_d_prod_ell2_cblinfun$'|) (A__questionmark_v2 |tptp.'A_c_prod_ell2_b_d_prod_ell2_cblinfun$'|) (A__questionmark_v3 |tptp.'A_c_prod_ell2_b_d_prod_ell2_cblinfun$'|)) (let ((_let_1 (|tptp.'fun_app$s'| |tptp.'plus$b'| A__questionmark_v3))) (let ((_let_2 (|tptp.'fun_app$s'| |tptp.'plus$b'| A__questionmark_v1))) (=> (= A__questionmark_v0 (|tptp.'fun_app$r'| _let_2 A__questionmark_v2)) (= (|tptp.'fun_app$r'| _let_1 A__questionmark_v0) (|tptp.'fun_app$r'| _let_2 (|tptp.'fun_app$r'| _let_1 A__questionmark_v2))))))) (forall ((A__questionmark_v0 |tptp.'A_c_prod_ell2$'|) (A__questionmark_v1 |tptp.'A_c_prod_ell2$'|) (A__questionmark_v2 |tptp.'A_c_prod_ell2$'|) (A__questionmark_v3 |tptp.'A_c_prod_ell2$'|)) (=> (= A__questionmark_v0 (|tptp.'plus$m'| A__questionmark_v1 A__questionmark_v2)) (= (|tptp.'plus$m'| A__questionmark_v0 A__questionmark_v3) (|tptp.'plus$m'| A__questionmark_v1 (|tptp.'plus$m'| A__questionmark_v2 A__questionmark_v3))))) (forall ((A__questionmark_v0 |tptp.'D_ell2$'|) (A__questionmark_v1 |tptp.'D_ell2$'|) (A__questionmark_v2 |tptp.'D_ell2$'|) (A__questionmark_v3 |tptp.'D_ell2$'|)) (=> (= A__questionmark_v0 (|tptp.'plus$i'| A__questionmark_v1 A__questionmark_v2)) (= (|tptp.'plus$i'| A__questionmark_v0 A__questionmark_v3) (|tptp.'plus$i'| A__questionmark_v1 (|tptp.'plus$i'| A__questionmark_v2 A__questionmark_v3))))) (forall ((A__questionmark_v0 |tptp.'Complex$'|) (A__questionmark_v1 |tptp.'Complex$'|) (A__questionmark_v2 |tptp.'Complex$'|) (A__questionmark_v3 |tptp.'Complex$'|)) (=> (= A__questionmark_v0 (|tptp.'plus$'| A__questionmark_v1 A__questionmark_v2)) (= (|tptp.'plus$'| A__questionmark_v0 A__questionmark_v3) (|tptp.'plus$'| A__questionmark_v1 (|tptp.'plus$'| A__questionmark_v2 A__questionmark_v3))))) (forall ((A__questionmark_v0 |tptp.'A_c_prod_ell2_b_d_prod_ell2_cblinfun_set$'|) (A__questionmark_v1 |tptp.'A_c_prod_ell2_b_d_prod_ell2_cblinfun_set$'|) (A__questionmark_v2 |tptp.'A_c_prod_ell2_b_d_prod_ell2_cblinfun_set$'|) (A__questionmark_v3 |tptp.'A_c_prod_ell2_b_d_prod_ell2_cblinfun_set$'|)) (=> (= A__questionmark_v0 (|tptp.'plus$z'| A__questionmark_v1 A__questionmark_v2)) (= (|tptp.'plus$z'| A__questionmark_v0 A__questionmark_v3) (|tptp.'plus$z'| A__questionmark_v1 (|tptp.'plus$z'| A__questionmark_v2 A__questionmark_v3))))) (forall ((A__questionmark_v0 |tptp.'C_ell2_d_ell2_cblinfun_set$'|) (A__questionmark_v1 |tptp.'C_ell2_d_ell2_cblinfun_set$'|) (A__questionmark_v2 |tptp.'C_ell2_d_ell2_cblinfun_set$'|) (A__questionmark_v3 |tptp.'C_ell2_d_ell2_cblinfun_set$'|)) (=> (= A__questionmark_v0 (|tptp.'plus$ab'| A__questionmark_v1 A__questionmark_v2)) (= (|tptp.'plus$ab'| A__questionmark_v0 A__questionmark_v3) (|tptp.'plus$ab'| A__questionmark_v1 (|tptp.'plus$ab'| A__questionmark_v2 A__questionmark_v3))))) (forall ((A__questionmark_v0 |tptp.'C_ell2_d_ell2_cblinfun$'|) (A__questionmark_v1 |tptp.'C_ell2_d_ell2_cblinfun$'|) (A__questionmark_v2 |tptp.'C_ell2_d_ell2_cblinfun$'|) (A__questionmark_v3 |tptp.'C_ell2_d_ell2_cblinfun$'|)) (let ((_let_1 (|tptp.'fun_app$n'| |tptp.'plus$a'| A__questionmark_v1))) (=> (= A__questionmark_v0 (|tptp.'fun_app$m'| _let_1 A__questionmark_v2)) (= (|tptp.'fun_app$m'| (|tptp.'fun_app$n'| |tptp.'plus$a'| A__questionmark_v0) A__questionmark_v3) (|tptp.'fun_app$m'| _let_1 (|tptp.'fun_app$m'| (|tptp.'fun_app$n'| |tptp.'plus$a'| A__questionmark_v2) A__questionmark_v3)))))) (forall ((A__questionmark_v0 |tptp.'A_c_prod_ell2_b_d_prod_ell2_cblinfun$'|) (A__questionmark_v1 |tptp.'A_c_prod_ell2_b_d_prod_ell2_cblinfun$'|) (A__questionmark_v2 |tptp.'A_c_prod_ell2_b_d_prod_ell2_cblinfun$'|) (A__questionmark_v3 |tptp.'A_c_prod_ell2_b_d_prod_ell2_cblinfun$'|)) (let ((_let_1 (|tptp.'fun_app$s'| |tptp.'plus$b'| A__questionmark_v1))) (=> (= A__questionmark_v0 (|tptp.'fun_app$r'| _let_1 A__questionmark_v2)) (= (|tptp.'fun_app$r'| (|tptp.'fun_app$s'| |tptp.'plus$b'| A__questionmark_v0) A__questionmark_v3) (|tptp.'fun_app$r'| _let_1 (|tptp.'fun_app$r'| (|tptp.'fun_app$s'| |tptp.'plus$b'| A__questionmark_v2) A__questionmark_v3)))))) (forall ((A__questionmark_v0 |tptp.'Complex$'|) (A__questionmark_v1 |tptp.'Complex$'|) (A__questionmark_v2 |tptp.'Complex$'|) (A__questionmark_v3 |tptp.'Complex$'|)) (=> (and (= A__questionmark_v0 A__questionmark_v1) (= A__questionmark_v2 A__questionmark_v3)) (= (|tptp.'plus$'| A__questionmark_v0 A__questionmark_v2) (|tptp.'plus$'| A__questionmark_v1 A__questionmark_v3)))) (forall ((A__questionmark_v0 |tptp.'C_ell2_d_ell2_cblinfun$'|) (A__questionmark_v1 |tptp.'C_ell2_d_ell2_cblinfun$'|) (A__questionmark_v2 |tptp.'C_ell2_d_ell2_cblinfun$'|) (A__questionmark_v3 |tptp.'C_ell2_d_ell2_cblinfun$'|)) (=> (and (= A__questionmark_v0 A__questionmark_v1) (= A__questionmark_v2 A__questionmark_v3)) (= (|tptp.'fun_app$m'| (|tptp.'fun_app$n'| |tptp.'plus$a'| A__questionmark_v0) A__questionmark_v2) (|tptp.'fun_app$m'| (|tptp.'fun_app$n'| |tptp.'plus$a'| A__questionmark_v1) A__questionmark_v3)))) (forall ((A__questionmark_v0 |tptp.'A_c_prod_ell2_b_d_prod_ell2_cblinfun$'|) (A__questionmark_v1 |tptp.'A_c_prod_ell2_b_d_prod_ell2_cblinfun$'|) (A__questionmark_v2 |tptp.'A_c_prod_ell2_b_d_prod_ell2_cblinfun$'|) (A__questionmark_v3 |tptp.'A_c_prod_ell2_b_d_prod_ell2_cblinfun$'|)) (=> (and (= A__questionmark_v0 A__questionmark_v1) (= A__questionmark_v2 A__questionmark_v3)) (= (|tptp.'fun_app$r'| (|tptp.'fun_app$s'| |tptp.'plus$b'| A__questionmark_v0) A__questionmark_v2) (|tptp.'fun_app$r'| (|tptp.'fun_app$s'| |tptp.'plus$b'| A__questionmark_v1) A__questionmark_v3)))) (forall ((A__questionmark_v0 |tptp.'A_c_prod_ell2$'|) (A__questionmark_v1 |tptp.'A_c_prod_ell2$'|) (A__questionmark_v2 |tptp.'A_c_prod_ell2$'|)) (= (|tptp.'plus$m'| (|tptp.'plus$m'| A__questionmark_v0 A__questionmark_v1) A__questionmark_v2) (|tptp.'plus$m'| A__questionmark_v0 (|tptp.'plus$m'| A__questionmark_v1 A__questionmark_v2)))) (forall ((A__questionmark_v0 |tptp.'D_ell2$'|) (A__questionmark_v1 |tptp.'D_ell2$'|) (A__questionmark_v2 |tptp.'D_ell2$'|)) (= (|tptp.'plus$i'| (|tptp.'plus$i'| A__questionmark_v0 A__questionmark_v1) A__questionmark_v2) (|tptp.'plus$i'| A__questionmark_v0 (|tptp.'plus$i'| A__questionmark_v1 A__questionmark_v2)))) (forall ((A__questionmark_v0 |tptp.'Complex$'|) (A__questionmark_v1 |tptp.'Complex$'|) (A__questionmark_v2 |tptp.'Complex$'|)) (= (|tptp.'plus$'| (|tptp.'plus$'| A__questionmark_v0 A__questionmark_v1) A__questionmark_v2) (|tptp.'plus$'| A__questionmark_v0 (|tptp.'plus$'| A__questionmark_v1 A__questionmark_v2)))) (forall ((A__questionmark_v0 |tptp.'A_c_prod_ell2_b_d_prod_ell2_cblinfun_set$'|) (A__questionmark_v1 |tptp.'A_c_prod_ell2_b_d_prod_ell2_cblinfun_set$'|) (A__questionmark_v2 |tptp.'A_c_prod_ell2_b_d_prod_ell2_cblinfun_set$'|)) (= (|tptp.'plus$z'| (|tptp.'plus$z'| A__questionmark_v0 A__questionmark_v1) A__questionmark_v2) (|tptp.'plus$z'| A__questionmark_v0 (|tptp.'plus$z'| A__questionmark_v1 A__questionmark_v2)))) (forall ((A__questionmark_v0 |tptp.'C_ell2_d_ell2_cblinfun_set$'|) (A__questionmark_v1 |tptp.'C_ell2_d_ell2_cblinfun_set$'|) (A__questionmark_v2 |tptp.'C_ell2_d_ell2_cblinfun_set$'|)) (= (|tptp.'plus$ab'| (|tptp.'plus$ab'| A__questionmark_v0 A__questionmark_v1) A__questionmark_v2) (|tptp.'plus$ab'| A__questionmark_v0 (|tptp.'plus$ab'| A__questionmark_v1 A__questionmark_v2)))) (forall ((A__questionmark_v0 |tptp.'C_ell2_d_ell2_cblinfun$'|) (A__questionmark_v1 |tptp.'C_ell2_d_ell2_cblinfun$'|) (A__questionmark_v2 |tptp.'C_ell2_d_ell2_cblinfun$'|)) (let ((_let_1 (|tptp.'fun_app$n'| |tptp.'plus$a'| A__questionmark_v0))) (= (|tptp.'fun_app$m'| (|tptp.'fun_app$n'| |tptp.'plus$a'| (|tptp.'fun_app$m'| _let_1 A__questionmark_v1)) A__questionmark_v2) (|tptp.'fun_app$m'| _let_1 (|tptp.'fun_app$m'| (|tptp.'fun_app$n'| |tptp.'plus$a'| A__questionmark_v1) A__questionmark_v2))))) (forall ((A__questionmark_v0 |tptp.'A_c_prod_ell2_b_d_prod_ell2_cblinfun$'|) (A__questionmark_v1 |tptp.'A_c_prod_ell2_b_d_prod_ell2_cblinfun$'|) (A__questionmark_v2 |tptp.'A_c_prod_ell2_b_d_prod_ell2_cblinfun$'|)) (let ((_let_1 (|tptp.'fun_app$s'| |tptp.'plus$b'| A__questionmark_v0))) (= (|tptp.'fun_app$r'| (|tptp.'fun_app$s'| |tptp.'plus$b'| (|tptp.'fun_app$r'| _let_1 A__questionmark_v1)) A__questionmark_v2) (|tptp.'fun_app$r'| _let_1 (|tptp.'fun_app$r'| (|tptp.'fun_app$s'| |tptp.'plus$b'| A__questionmark_v1) A__questionmark_v2))))) (forall ((A__questionmark_v0 |tptp.'C_ell2_d_ell2_cblinfun_c_ell2_d_ell2_cblinfun_cblinfun$'|) (A__questionmark_v1 |tptp.'C_ell2_d_ell2_cblinfun_c_ell2_d_ell2_cblinfun_cblinfun$'|)) (=> (forall ((A__questionmark_v2 |tptp.'C_ell2_d_ell2_cblinfun$'|)) (= (|tptp.'fun_app$m'| (|tptp.'cblinfun_apply$r'| A__questionmark_v0) A__questionmark_v2) (|tptp.'fun_app$m'| (|tptp.'cblinfun_apply$r'| A__questionmark_v1) A__questionmark_v2))) (= A__questionmark_v0 A__questionmark_v1))) (forall ((A__questionmark_v0 |tptp.'A_c_prod_a_c_prod_prod_ell2_b_d_prod_b_d_prod_prod_ell2_cblinfun$'|) (A__questionmark_v1 |tptp.'A_c_prod_a_c_prod_prod_ell2_b_d_prod_b_d_prod_prod_ell2_cblinfun$'|)) (=> (forall ((A__questionmark_v2 |tptp.'A_c_prod_a_c_prod_prod_ell2$'|)) (= (|tptp.'fun_app$v'| (|tptp.'cblinfun_apply$c'| A__questionmark_v0) A__questionmark_v2) (|tptp.'fun_app$v'| (|tptp.'cblinfun_apply$c'| A__questionmark_v1) A__questionmark_v2))) (= A__questionmark_v0 A__questionmark_v1))) (forall ((A__questionmark_v0 |tptp.'B_d_prod_ell2_a_c_prod_ell2_cblinfun$'|) (A__questionmark_v1 |tptp.'B_d_prod_ell2_a_c_prod_ell2_cblinfun$'|)) (=> (forall ((A__questionmark_v2 |tptp.'B_d_prod_ell2$'|)) (= (|tptp.'fun_app$w'| (|tptp.'cblinfun_apply$s'| A__questionmark_v0) A__questionmark_v2) (|tptp.'fun_app$w'| (|tptp.'cblinfun_apply$s'| A__questionmark_v1) A__questionmark_v2))) (= A__questionmark_v0 A__questionmark_v1))) (forall ((A__questionmark_v0 |tptp.'C_ell2_d_ell2_cblinfun$'|) (A__questionmark_v1 |tptp.'C_ell2_d_ell2_cblinfun$'|)) (=> (forall ((A__questionmark_v2 |tptp.'C_ell2$'|)) (= (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| A__questionmark_v0) A__questionmark_v2) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| A__questionmark_v1) A__questionmark_v2))) (= A__questionmark_v0 A__questionmark_v1))) (forall ((A__questionmark_v0 |tptp.'A_ell2_b_ell2_cblinfun$'|) (A__questionmark_v1 |tptp.'A_ell2_b_ell2_cblinfun$'|)) (=> (forall ((A__questionmark_v2 |tptp.'A_ell2$'|)) (= (|tptp.'fun_app$t'| (|tptp.'cblinfun_apply$a'| A__questionmark_v0) A__questionmark_v2) (|tptp.'fun_app$t'| (|tptp.'cblinfun_apply$a'| A__questionmark_v1) A__questionmark_v2))) (= A__questionmark_v0 A__questionmark_v1))) (forall ((A__questionmark_v0 |tptp.'A_c_prod_ell2_b_d_prod_ell2_cblinfun$'|) (A__questionmark_v1 |tptp.'A_c_prod_ell2_b_d_prod_ell2_cblinfun$'|)) (=> (forall ((A__questionmark_v2 |tptp.'A_c_prod_ell2$'|)) (= (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| A__questionmark_v0) A__questionmark_v2) (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| A__questionmark_v1) A__questionmark_v2))) (= A__questionmark_v0 A__questionmark_v1))) (forall ((A__questionmark_v0 |tptp.'C_ell2_d_ell2_cblinfun_c_ell2_d_ell2_cblinfun_cblinfun$'|) (A__questionmark_v1 |tptp.'C_ell2_d_ell2_cblinfun_c_ell2_d_ell2_cblinfun_cblinfun$'|)) (= (= (|tptp.'cblinfun_apply$r'| A__questionmark_v0) (|tptp.'cblinfun_apply$r'| A__questionmark_v1)) (= A__questionmark_v0 A__questionmark_v1))) (forall ((A__questionmark_v0 |tptp.'A_c_prod_a_c_prod_prod_ell2_b_d_prod_b_d_prod_prod_ell2_cblinfun$'|) (A__questionmark_v1 |tptp.'A_c_prod_a_c_prod_prod_ell2_b_d_prod_b_d_prod_prod_ell2_cblinfun$'|)) (= (= (|tptp.'cblinfun_apply$c'| A__questionmark_v0) (|tptp.'cblinfun_apply$c'| A__questionmark_v1)) (= A__questionmark_v0 A__questionmark_v1))) (forall ((A__questionmark_v0 |tptp.'B_d_prod_ell2_a_c_prod_ell2_cblinfun$'|) (A__questionmark_v1 |tptp.'B_d_prod_ell2_a_c_prod_ell2_cblinfun$'|)) (= (= (|tptp.'cblinfun_apply$s'| A__questionmark_v0) (|tptp.'cblinfun_apply$s'| A__questionmark_v1)) (= A__questionmark_v0 A__questionmark_v1))) (forall ((A__questionmark_v0 |tptp.'C_ell2_d_ell2_cblinfun$'|) (A__questionmark_v1 |tptp.'C_ell2_d_ell2_cblinfun$'|)) (= (= (|tptp.'cblinfun_apply$b'| A__questionmark_v0) (|tptp.'cblinfun_apply$b'| A__questionmark_v1)) (= A__questionmark_v0 A__questionmark_v1))) (forall ((A__questionmark_v0 |tptp.'A_ell2_b_ell2_cblinfun$'|) (A__questionmark_v1 |tptp.'A_ell2_b_ell2_cblinfun$'|)) (= (= (|tptp.'cblinfun_apply$a'| A__questionmark_v0) (|tptp.'cblinfun_apply$a'| A__questionmark_v1)) (= A__questionmark_v0 A__questionmark_v1))) (forall ((A__questionmark_v0 |tptp.'A_c_prod_ell2_b_d_prod_ell2_cblinfun$'|) (A__questionmark_v1 |tptp.'A_c_prod_ell2_b_d_prod_ell2_cblinfun$'|)) (= (= (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| A__questionmark_v0) (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| A__questionmark_v1)) (= A__questionmark_v0 A__questionmark_v1))) (forall ((A__questionmark_v0 |tptp.'A_ell2_b_ell2_cblinfun$'|) (A__questionmark_v1 |tptp.'C_ell2_d_ell2_cblinfun$'|) (A__questionmark_v2 |tptp.'A_ell2$'|) (A__questionmark_v3 |tptp.'C_ell2$'|)) (= (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| (|tptp.'tensor_op$'| A__questionmark_v0 A__questionmark_v1)) (|tptp.'tensor_ell2$b'| A__questionmark_v2 A__questionmark_v3)) (|tptp.'tensor_ell2$'| (|tptp.'fun_app$t'| (|tptp.'cblinfun_apply$a'| A__questionmark_v0) A__questionmark_v2) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| A__questionmark_v1) A__questionmark_v3)))) (forall ((A__questionmark_v0 |tptp.'A_c_prod_ell2_b_d_prod_ell2_cblinfun$'|) (A__questionmark_v1 |tptp.'A_c_prod_ell2_b_d_prod_ell2_cblinfun$'|) (A__questionmark_v2 |tptp.'A_c_prod_ell2$'|) (A__questionmark_v3 |tptp.'A_c_prod_ell2$'|)) (= (|tptp.'fun_app$v'| (|tptp.'cblinfun_apply$c'| (|tptp.'tensor_op$a'| A__questionmark_v0 A__questionmark_v1)) (|tptp.'tensor_ell2$e'| A__questionmark_v2 A__questionmark_v3)) (|tptp.'tensor_ell2$a'| (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| A__questionmark_v0) A__questionmark_v2) (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| A__questionmark_v1) A__questionmark_v3)))) (forall ((A__questionmark_v0 |tptp.'B_ell2_b_ell2_cblinfun$'|) (A__questionmark_v1 |tptp.'D_ell2_d_ell2_cblinfun$'|) (A__questionmark_v2 |tptp.'B_ell2$'|) (A__questionmark_v3 |tptp.'D_ell2$'|)) (= (|tptp.'cblinfun_apply$t'| (|tptp.'tensor_op$j'| A__questionmark_v0 A__questionmark_v1) (|tptp.'tensor_ell2$'| A__questionmark_v2 A__questionmark_v3)) (|tptp.'tensor_ell2$'| (|tptp.'cblinfun_apply$u'| A__questionmark_v0 A__questionmark_v2) (|tptp.'cblinfun_apply$v'| A__questionmark_v1 A__questionmark_v3)))) (forall ((A__questionmark_v0 |tptp.'A_ell2_a_ell2_cblinfun$'|) (A__questionmark_v1 |tptp.'C_ell2_c_ell2_cblinfun$'|) (A__questionmark_v2 |tptp.'A_ell2$'|) (A__questionmark_v3 |tptp.'C_ell2$'|)) (= (|tptp.'cblinfun_apply$m'| (|tptp.'tensor_op$e'| A__questionmark_v0 A__questionmark_v1) (|tptp.'tensor_ell2$b'| A__questionmark_v2 A__questionmark_v3)) (|tptp.'tensor_ell2$b'| (|tptp.'cblinfun_apply$h'| A__questionmark_v0 A__questionmark_v2) (|tptp.'cblinfun_apply$l'| A__questionmark_v1 A__questionmark_v3)))) (forall ((A__questionmark_v0 |tptp.'C_ell2_d_ell2_cblinfun$'|) (A__questionmark_v1 |tptp.'C_ell2_d_ell2_cblinfun$'|) (A__questionmark_v2 |tptp.'C_ell2$'|) (A__questionmark_v3 |tptp.'C_ell2$'|)) (= (|tptp.'cblinfun_apply$p'| (|tptp.'tensor_op$h'| A__questionmark_v0 A__questionmark_v1) (|tptp.'tensor_ell2$g'| A__questionmark_v2 A__questionmark_v3)) (|tptp.'tensor_ell2$c'| (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| A__questionmark_v0) A__questionmark_v2) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| A__questionmark_v1) A__questionmark_v3)))) (forall ((A__questionmark_v0 |tptp.'C_ell2_d_ell2_cblinfun$'|) (A__questionmark_v1 |tptp.'A_ell2_b_ell2_cblinfun$'|) (A__questionmark_v2 |tptp.'C_ell2$'|) (A__questionmark_v3 |tptp.'A_ell2$'|)) (= (|tptp.'cblinfun_apply$q'| (|tptp.'tensor_op$i'| A__questionmark_v0 A__questionmark_v1) (|tptp.'tensor_ell2$h'| A__questionmark_v2 A__questionmark_v3)) (|tptp.'tensor_ell2$d'| (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| A__questionmark_v0) A__questionmark_v2) (|tptp.'fun_app$t'| (|tptp.'cblinfun_apply$a'| A__questionmark_v1) A__questionmark_v3)))) (forall ((A__questionmark_v0 |tptp.'A_ell2_b_ell2_cblinfun$'|) (A__questionmark_v1 |tptp.'A_ell2_b_ell2_cblinfun$'|) (A__questionmark_v2 |tptp.'A_ell2$'|) (A__questionmark_v3 |tptp.'A_ell2$'|)) (= (|tptp.'cblinfun_apply$w'| (|tptp.'tensor_op$k'| A__questionmark_v0 A__questionmark_v1) (|tptp.'tensor_ell2$f'| A__questionmark_v2 A__questionmark_v3)) (|tptp.'tensor_ell2$m'| (|tptp.'fun_app$t'| (|tptp.'cblinfun_apply$a'| A__questionmark_v0) A__questionmark_v2) (|tptp.'fun_app$t'| (|tptp.'cblinfun_apply$a'| A__questionmark_v1) A__questionmark_v3)))) (forall ((A__questionmark_v0 |tptp.'B_ell2_a_ell2_cblinfun$'|) (A__questionmark_v1 |tptp.'D_ell2_c_ell2_cblinfun$'|) (A__questionmark_v2 |tptp.'B_ell2$'|) (A__questionmark_v3 |tptp.'D_ell2$'|)) (= (|tptp.'fun_app$w'| (|tptp.'cblinfun_apply$s'| (|tptp.'tensor_op$l'| A__questionmark_v0 A__questionmark_v1)) (|tptp.'tensor_ell2$'| A__questionmark_v2 A__questionmark_v3)) (|tptp.'tensor_ell2$b'| (|tptp.'cblinfun_apply$x'| A__questionmark_v0 A__questionmark_v2) (|tptp.'cblinfun_apply$y'| A__questionmark_v1 A__questionmark_v3)))) (forall ((A__questionmark_v0 |tptp.'B_ell2_b_d_prod_ell2_cblinfun$'|) (A__questionmark_v1 |tptp.'D_ell2_b_d_prod_ell2_cblinfun$'|) (A__questionmark_v2 |tptp.'B_ell2$'|) (A__questionmark_v3 |tptp.'D_ell2$'|)) (= (|tptp.'cblinfun_apply$z'| (|tptp.'tensor_op$m'| A__questionmark_v0 A__questionmark_v1) (|tptp.'tensor_ell2$'| A__questionmark_v2 A__questionmark_v3)) (|tptp.'tensor_ell2$a'| (|tptp.'cblinfun_apply$aa'| A__questionmark_v0 A__questionmark_v2) (|tptp.'cblinfun_apply$ab'| A__questionmark_v1 A__questionmark_v3)))) (forall ((A__questionmark_v0 |tptp.'B_ell2_a_c_prod_ell2_cblinfun$'|) (A__questionmark_v1 |tptp.'D_ell2_a_c_prod_ell2_cblinfun$'|) (A__questionmark_v2 |tptp.'B_ell2$'|) (A__questionmark_v3 |tptp.'D_ell2$'|)) (= (|tptp.'cblinfun_apply$ac'| (|tptp.'tensor_op$n'| A__questionmark_v0 A__questionmark_v1) (|tptp.'tensor_ell2$'| A__questionmark_v2 A__questionmark_v3)) (|tptp.'tensor_ell2$e'| (|tptp.'cblinfun_apply$ad'| A__questionmark_v0 A__questionmark_v2) (|tptp.'cblinfun_apply$ae'| A__questionmark_v1 A__questionmark_v3)))) (forall ((A__questionmark_v0 |tptp.'A_c_prod_ell2_b_d_prod_ell2_cblinfun$'|) (A__questionmark_v1 |tptp.'A_c_prod_ell2$'|) (A__questionmark_v2 |tptp.'A_c_prod_ell2$'|)) (let ((_let_1 (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| A__questionmark_v0))) (= (|tptp.'fun_app$k'| _let_1 (|tptp.'plus$m'| A__questionmark_v1 A__questionmark_v2)) (|tptp.'plus$u'| (|tptp.'fun_app$k'| _let_1 A__questionmark_v1) (|tptp.'fun_app$k'| _let_1 A__questionmark_v2))))) (forall ((A__questionmark_v0 |tptp.'C_ell2_d_ell2_cblinfun_c_ell2_d_ell2_cblinfun_cblinfun$'|) (A__questionmark_v1 |tptp.'C_ell2_d_ell2_cblinfun$'|) (A__questionmark_v2 |tptp.'C_ell2_d_ell2_cblinfun$'|)) (let ((_let_1 (|tptp.'cblinfun_apply$r'| A__questionmark_v0))) (= (|tptp.'fun_app$m'| _let_1 (|tptp.'fun_app$m'| (|tptp.'fun_app$n'| |tptp.'plus$a'| A__questionmark_v1) A__questionmark_v2)) (|tptp.'fun_app$m'| (|tptp.'fun_app$n'| |tptp.'plus$a'| (|tptp.'fun_app$m'| _let_1 A__questionmark_v1)) (|tptp.'fun_app$m'| _let_1 A__questionmark_v2))))) (forall ((A__questionmark_v0 |tptp.'C_ell2_d_ell2_cblinfun_a_c_prod_ell2_b_d_prod_ell2_cblinfun_cblinfun$'|) (A__questionmark_v1 |tptp.'C_ell2_d_ell2_cblinfun$'|) (A__questionmark_v2 |tptp.'C_ell2_d_ell2_cblinfun$'|)) (= (|tptp.'cblinfun_apply$af'| A__questionmark_v0 (|tptp.'fun_app$m'| (|tptp.'fun_app$n'| |tptp.'plus$a'| A__questionmark_v1) A__questionmark_v2)) (|tptp.'fun_app$r'| (|tptp.'fun_app$s'| |tptp.'plus$b'| (|tptp.'cblinfun_apply$af'| A__questionmark_v0 A__questionmark_v1)) (|tptp.'cblinfun_apply$af'| A__questionmark_v0 A__questionmark_v2)))) (forall ((A__questionmark_v0 |tptp.'A_c_prod_ell2_b_d_prod_ell2_cblinfun_c_ell2_d_ell2_cblinfun_cblinfun$'|) (A__questionmark_v1 |tptp.'A_c_prod_ell2_b_d_prod_ell2_cblinfun$'|) (A__questionmark_v2 |tptp.'A_c_prod_ell2_b_d_prod_ell2_cblinfun$'|)) (= (|tptp.'cblinfun_apply$ag'| A__questionmark_v0 (|tptp.'fun_app$r'| (|tptp.'fun_app$s'| |tptp.'plus$b'| A__questionmark_v1) A__questionmark_v2)) (|tptp.'fun_app$m'| (|tptp.'fun_app$n'| |tptp.'plus$a'| (|tptp.'cblinfun_apply$ag'| A__questionmark_v0 A__questionmark_v1)) (|tptp.'cblinfun_apply$ag'| A__questionmark_v0 A__questionmark_v2)))) (forall ((A__questionmark_v0 |tptp.'A_c_prod_ell2_b_d_prod_ell2_cblinfun_a_c_prod_ell2_b_d_prod_ell2_cblinfun_cblinfun$'|) (A__questionmark_v1 |tptp.'A_c_prod_ell2_b_d_prod_ell2_cblinfun$'|) (A__questionmark_v2 |tptp.'A_c_prod_ell2_b_d_prod_ell2_cblinfun$'|)) (= (|tptp.'cblinfun_apply$ah'| A__questionmark_v0 (|tptp.'fun_app$r'| (|tptp.'fun_app$s'| |tptp.'plus$b'| A__questionmark_v1) A__questionmark_v2)) (|tptp.'fun_app$r'| (|tptp.'fun_app$s'| |tptp.'plus$b'| (|tptp.'cblinfun_apply$ah'| A__questionmark_v0 A__questionmark_v1)) (|tptp.'cblinfun_apply$ah'| A__questionmark_v0 A__questionmark_v2)))) (forall ((A__questionmark_v0 |tptp.'Complex_complex_cblinfun$'|) (A__questionmark_v1 |tptp.'Complex$'|) (A__questionmark_v2 |tptp.'Complex$'|)) (= (|tptp.'cblinfun_apply$ai'| A__questionmark_v0 (|tptp.'plus$'| A__questionmark_v1 A__questionmark_v2)) (|tptp.'plus$'| (|tptp.'cblinfun_apply$ai'| A__questionmark_v0 A__questionmark_v1) (|tptp.'cblinfun_apply$ai'| A__questionmark_v0 A__questionmark_v2)))) (forall ((A__questionmark_v0 |tptp.'D_ell2_complex_cblinfun$'|) (A__questionmark_v1 |tptp.'D_ell2$'|) (A__questionmark_v2 |tptp.'D_ell2$'|)) (= (|tptp.'cblinfun_apply$aj'| A__questionmark_v0 (|tptp.'plus$i'| A__questionmark_v1 A__questionmark_v2)) (|tptp.'plus$'| (|tptp.'cblinfun_apply$aj'| A__questionmark_v0 A__questionmark_v1) (|tptp.'cblinfun_apply$aj'| A__questionmark_v0 A__questionmark_v2)))) (forall ((A__questionmark_v0 |tptp.'Complex_d_ell2_cblinfun$'|) (A__questionmark_v1 |tptp.'Complex$'|) (A__questionmark_v2 |tptp.'Complex$'|)) (= (|tptp.'cblinfun_apply$ak'| A__questionmark_v0 (|tptp.'plus$'| A__questionmark_v1 A__questionmark_v2)) (|tptp.'plus$i'| (|tptp.'cblinfun_apply$ak'| A__questionmark_v0 A__questionmark_v1) (|tptp.'cblinfun_apply$ak'| A__questionmark_v0 A__questionmark_v2)))) (forall ((A__questionmark_v0 |tptp.'D_ell2_d_ell2_cblinfun$'|) (A__questionmark_v1 |tptp.'D_ell2$'|) (A__questionmark_v2 |tptp.'D_ell2$'|)) (= (|tptp.'cblinfun_apply$v'| A__questionmark_v0 (|tptp.'plus$i'| A__questionmark_v1 A__questionmark_v2)) (|tptp.'plus$i'| (|tptp.'cblinfun_apply$v'| A__questionmark_v0 A__questionmark_v1) (|tptp.'cblinfun_apply$v'| A__questionmark_v0 A__questionmark_v2)))) (forall ((A__questionmark_v0 |tptp.'C_ell2_d_ell2_cblinfun$'|) (A__questionmark_v1 |tptp.'C_ell2$'|) (A__questionmark_v2 |tptp.'C_ell2$'|)) (let ((_let_1 (|tptp.'cblinfun_apply$b'| A__questionmark_v0))) (= (|tptp.'fun_app$u'| _let_1 (|tptp.'plus$af'| A__questionmark_v1 A__questionmark_v2)) (|tptp.'plus$i'| (|tptp.'fun_app$u'| _let_1 A__questionmark_v1) (|tptp.'fun_app$u'| _let_1 A__questionmark_v2))))) (forall ((A__questionmark_v0 |tptp.'C_a_prod$'|) (A__questionmark_v1 |tptp.'C_a_prod_bool_fun$'|)) (= (|tptp.'member$'| A__questionmark_v0 (|tptp.'collect$'| A__questionmark_v1)) (|tptp.'fun_app$'| A__questionmark_v1 A__questionmark_v0))) (forall ((A__questionmark_v0 |tptp.'A_c_prod$'|) (A__questionmark_v1 |tptp.'A_c_prod_bool_fun$'|)) (= (|tptp.'member$a'| A__questionmark_v0 (|tptp.'collect$a'| A__questionmark_v1)) (|tptp.'fun_app$a'| A__questionmark_v1 A__questionmark_v0))) (forall ((A__questionmark_v0 |tptp.'B_d_prod_ell2$'|) (A__questionmark_v1 |tptp.'B_d_prod_ell2_bool_fun$'|)) (= (|tptp.'member$b'| A__questionmark_v0 (|tptp.'collect$b'| A__questionmark_v1)) (|tptp.'fun_app$b'| A__questionmark_v1 A__questionmark_v0))) (forall ((A__questionmark_v0 |tptp.'A_c_prod_ell2$'|) (A__questionmark_v1 |tptp.'A_c_prod_ell2_bool_fun$'|)) (= (|tptp.'member$c'| A__questionmark_v0 (|tptp.'collect$c'| A__questionmark_v1)) (|tptp.'fun_app$c'| A__questionmark_v1 A__questionmark_v0))) (forall ((A__questionmark_v0 |tptp.'A$'|) (A__questionmark_v1 |tptp.'A_bool_fun$'|)) (= (|tptp.'member$d'| A__questionmark_v0 (|tptp.'collect$d'| A__questionmark_v1)) (|tptp.'fun_app$d'| A__questionmark_v1 A__questionmark_v0))) (forall ((A__questionmark_v0 |tptp.'C_a_prod_set$'|)) (= (|tptp.'collect$'| (|tptp.'uu$'| A__questionmark_v0)) A__questionmark_v0)) (forall ((A__questionmark_v0 |tptp.'A_c_prod_set$'|)) (= (|tptp.'collect$a'| (|tptp.'uua$'| A__questionmark_v0)) A__questionmark_v0)) (forall ((A__questionmark_v0 |tptp.'B_d_prod_ell2_set$'|)) (= (|tptp.'collect$b'| (|tptp.'uub$'| A__questionmark_v0)) A__questionmark_v0)) (forall ((A__questionmark_v0 |tptp.'A_c_prod_ell2_set$'|)) (= (|tptp.'collect$c'| (|tptp.'uuc$'| A__questionmark_v0)) A__questionmark_v0)) (forall ((A__questionmark_v0 |tptp.'A_set$'|)) (= (|tptp.'collect$d'| (|tptp.'uud$'| A__questionmark_v0)) A__questionmark_v0)) (forall ((A__questionmark_v0 |tptp.'C_ell2_d_ell2_cblinfun$'|) (A__questionmark_v1 |tptp.'C_ell2_d_ell2_cblinfun$'|) (A__questionmark_v2 |tptp.'C_ell2_d_ell2_cblinfun$'|)) (let ((_let_1 (|tptp.'fun_app$n'| |tptp.'plus$a'| A__questionmark_v0))) (= (|tptp.'fun_app$m'| (|tptp.'fun_app$n'| |tptp.'plus$a'| (|tptp.'fun_app$m'| _let_1 A__questionmark_v1)) A__questionmark_v2) (|tptp.'fun_app$m'| _let_1 (|tptp.'fun_app$m'| (|tptp.'fun_app$n'| |tptp.'plus$a'| A__questionmark_v1) A__questionmark_v2))))) (forall ((A__questionmark_v0 |tptp.'A_c_prod_ell2_b_d_prod_ell2_cblinfun$'|) (A__questionmark_v1 |tptp.'A_c_prod_ell2_b_d_prod_ell2_cblinfun$'|) (A__questionmark_v2 |tptp.'A_c_prod_ell2_b_d_prod_ell2_cblinfun$'|)) (let ((_let_1 (|tptp.'fun_app$s'| |tptp.'plus$b'| A__questionmark_v0))) (= (|tptp.'fun_app$r'| (|tptp.'fun_app$s'| |tptp.'plus$b'| (|tptp.'fun_app$r'| _let_1 A__questionmark_v1)) A__questionmark_v2) (|tptp.'fun_app$r'| _let_1 (|tptp.'fun_app$r'| (|tptp.'fun_app$s'| |tptp.'plus$b'| A__questionmark_v1) A__questionmark_v2))))) (forall ((A__questionmark_v0 |tptp.'Complex$'|) (A__questionmark_v1 |tptp.'Complex$'|) (A__questionmark_v2 |tptp.'Complex$'|) (A__questionmark_v3 |tptp.'Complex$'|)) (=> (and (= A__questionmark_v0 A__questionmark_v1) (= A__questionmark_v2 A__questionmark_v3)) (= (|tptp.'plus$'| A__questionmark_v0 A__questionmark_v2) (|tptp.'plus$'| A__questionmark_v1 A__questionmark_v3)))) (forall ((A__questionmark_v0 |tptp.'A_c_prod_ell2$'|) (A__questionmark_v1 |tptp.'A_c_prod_ell2$'|) (A__questionmark_v2 |tptp.'A_c_prod_ell2$'|)) (= (|tptp.'plus$m'| (|tptp.'plus$m'| A__questionmark_v0 A__questionmark_v1) A__questionmark_v2) (|tptp.'plus$m'| A__questionmark_v0 (|tptp.'plus$m'| A__questionmark_v1 A__questionmark_v2)))) (forall ((A__questionmark_v0 |tptp.'D_ell2$'|) (A__questionmark_v1 |tptp.'D_ell2$'|) (A__questionmark_v2 |tptp.'D_ell2$'|)) (= (|tptp.'plus$i'| (|tptp.'plus$i'| A__questionmark_v0 A__questionmark_v1) A__questionmark_v2) (|tptp.'plus$i'| A__questionmark_v0 (|tptp.'plus$i'| A__questionmark_v1 A__questionmark_v2)))) (forall ((A__questionmark_v0 |tptp.'Complex$'|) (A__questionmark_v1 |tptp.'Complex$'|) (A__questionmark_v2 |tptp.'Complex$'|)) (= (|tptp.'plus$'| (|tptp.'plus$'| A__questionmark_v0 A__questionmark_v1) A__questionmark_v2) (|tptp.'plus$'| A__questionmark_v0 (|tptp.'plus$'| A__questionmark_v1 A__questionmark_v2)))) (forall ((A__questionmark_v0 |tptp.'A_c_prod_ell2_b_d_prod_ell2_cblinfun_set$'|) (A__questionmark_v1 |tptp.'A_c_prod_ell2_b_d_prod_ell2_cblinfun_set$'|) (A__questionmark_v2 |tptp.'A_c_prod_ell2_b_d_prod_ell2_cblinfun_set$'|)) (= (|tptp.'plus$z'| (|tptp.'plus$z'| A__questionmark_v0 A__questionmark_v1) A__questionmark_v2) (|tptp.'plus$z'| A__questionmark_v0 (|tptp.'plus$z'| A__questionmark_v1 A__questionmark_v2)))) (forall ((A__questionmark_v0 |tptp.'C_ell2_d_ell2_cblinfun_set$'|) (A__questionmark_v1 |tptp.'C_ell2_d_ell2_cblinfun_set$'|) (A__questionmark_v2 |tptp.'C_ell2_d_ell2_cblinfun_set$'|)) (= (|tptp.'plus$ab'| (|tptp.'plus$ab'| A__questionmark_v0 A__questionmark_v1) A__questionmark_v2) (|tptp.'plus$ab'| A__questionmark_v0 (|tptp.'plus$ab'| A__questionmark_v1 A__questionmark_v2)))) (forall ((A__questionmark_v0 |tptp.'C_ell2_d_ell2_cblinfun$'|) (A__questionmark_v1 |tptp.'C_ell2_d_ell2_cblinfun$'|) (A__questionmark_v2 |tptp.'C_ell2_d_ell2_cblinfun$'|)) (let ((_let_1 (|tptp.'fun_app$n'| |tptp.'plus$a'| A__questionmark_v0))) (= (|tptp.'fun_app$m'| (|tptp.'fun_app$n'| |tptp.'plus$a'| (|tptp.'fun_app$m'| _let_1 A__questionmark_v1)) A__questionmark_v2) (|tptp.'fun_app$m'| _let_1 (|tptp.'fun_app$m'| (|tptp.'fun_app$n'| |tptp.'plus$a'| A__questionmark_v1) A__questionmark_v2))))) (forall ((A__questionmark_v0 |tptp.'A_c_prod_ell2_b_d_prod_ell2_cblinfun$'|) (A__questionmark_v1 |tptp.'A_c_prod_ell2_b_d_prod_ell2_cblinfun$'|) (A__questionmark_v2 |tptp.'A_c_prod_ell2_b_d_prod_ell2_cblinfun$'|)) (let ((_let_1 (|tptp.'fun_app$s'| |tptp.'plus$b'| A__questionmark_v0))) (= (|tptp.'fun_app$r'| (|tptp.'fun_app$s'| |tptp.'plus$b'| (|tptp.'fun_app$r'| _let_1 A__questionmark_v1)) A__questionmark_v2) (|tptp.'fun_app$r'| _let_1 (|tptp.'fun_app$r'| (|tptp.'fun_app$s'| |tptp.'plus$b'| A__questionmark_v1) A__questionmark_v2))))) (forall ((A__questionmark_v0 |tptp.'A_c_prod_ell2$'|) (A__questionmark_v1 |tptp.'A_c_prod_ell2$'|)) (= (|tptp.'plus$m'| A__questionmark_v0 A__questionmark_v1) (|tptp.'plus$m'| A__questionmark_v1 A__questionmark_v0))) (forall ((A__questionmark_v0 |tptp.'D_ell2$'|) (A__questionmark_v1 |tptp.'D_ell2$'|)) (= (|tptp.'plus$i'| A__questionmark_v0 A__questionmark_v1) (|tptp.'plus$i'| A__questionmark_v1 A__questionmark_v0))) (forall ((A__questionmark_v0 |tptp.'Complex$'|) (A__questionmark_v1 |tptp.'Complex$'|)) (= (|tptp.'plus$'| A__questionmark_v0 A__questionmark_v1) (|tptp.'plus$'| A__questionmark_v1 A__questionmark_v0))) (forall ((A__questionmark_v0 |tptp.'A_c_prod_ell2_b_d_prod_ell2_cblinfun_set$'|) (A__questionmark_v1 |tptp.'A_c_prod_ell2_b_d_prod_ell2_cblinfun_set$'|)) (= (|tptp.'plus$z'| A__questionmark_v0 A__questionmark_v1) (|tptp.'plus$z'| A__questionmark_v1 A__questionmark_v0))) (forall ((A__questionmark_v0 |tptp.'C_ell2_d_ell2_cblinfun_set$'|) (A__questionmark_v1 |tptp.'C_ell2_d_ell2_cblinfun_set$'|)) (= (|tptp.'plus$ab'| A__questionmark_v0 A__questionmark_v1) (|tptp.'plus$ab'| A__questionmark_v1 A__questionmark_v0))) (forall ((A__questionmark_v0 |tptp.'C_ell2_d_ell2_cblinfun$'|) (A__questionmark_v1 |tptp.'C_ell2_d_ell2_cblinfun$'|)) (= (|tptp.'fun_app$m'| (|tptp.'fun_app$n'| |tptp.'plus$a'| A__questionmark_v0) A__questionmark_v1) (|tptp.'fun_app$m'| (|tptp.'fun_app$n'| |tptp.'plus$a'| A__questionmark_v1) A__questionmark_v0))) (forall ((A__questionmark_v0 |tptp.'A_c_prod_ell2_b_d_prod_ell2_cblinfun$'|) (A__questionmark_v1 |tptp.'A_c_prod_ell2_b_d_prod_ell2_cblinfun$'|)) (= (|tptp.'fun_app$r'| (|tptp.'fun_app$s'| |tptp.'plus$b'| A__questionmark_v0) A__questionmark_v1) (|tptp.'fun_app$r'| (|tptp.'fun_app$s'| |tptp.'plus$b'| A__questionmark_v1) A__questionmark_v0))) (forall ((A__questionmark_v0 |tptp.'A_c_prod_ell2$'|) (A__questionmark_v1 |tptp.'A_c_prod_ell2$'|) (A__questionmark_v2 |tptp.'A_c_prod_ell2$'|)) (= (|tptp.'plus$m'| A__questionmark_v0 (|tptp.'plus$m'| A__questionmark_v1 A__questionmark_v2)) (|tptp.'plus$m'| A__questionmark_v1 (|tptp.'plus$m'| A__questionmark_v0 A__questionmark_v2)))) (forall ((A__questionmark_v0 |tptp.'D_ell2$'|) (A__questionmark_v1 |tptp.'D_ell2$'|) (A__questionmark_v2 |tptp.'D_ell2$'|)) (= (|tptp.'plus$i'| A__questionmark_v0 (|tptp.'plus$i'| A__questionmark_v1 A__questionmark_v2)) (|tptp.'plus$i'| A__questionmark_v1 (|tptp.'plus$i'| A__questionmark_v0 A__questionmark_v2)))) (forall ((A__questionmark_v0 |tptp.'Complex$'|) (A__questionmark_v1 |tptp.'Complex$'|) (A__questionmark_v2 |tptp.'Complex$'|)) (= (|tptp.'plus$'| A__questionmark_v0 (|tptp.'plus$'| A__questionmark_v1 A__questionmark_v2)) (|tptp.'plus$'| A__questionmark_v1 (|tptp.'plus$'| A__questionmark_v0 A__questionmark_v2)))) (forall ((A__questionmark_v0 |tptp.'A_c_prod_ell2_b_d_prod_ell2_cblinfun_set$'|) (A__questionmark_v1 |tptp.'A_c_prod_ell2_b_d_prod_ell2_cblinfun_set$'|) (A__questionmark_v2 |tptp.'A_c_prod_ell2_b_d_prod_ell2_cblinfun_set$'|)) (= (|tptp.'plus$z'| A__questionmark_v0 (|tptp.'plus$z'| A__questionmark_v1 A__questionmark_v2)) (|tptp.'plus$z'| A__questionmark_v1 (|tptp.'plus$z'| A__questionmark_v0 A__questionmark_v2)))) (forall ((A__questionmark_v0 |tptp.'C_ell2_d_ell2_cblinfun_set$'|) (A__questionmark_v1 |tptp.'C_ell2_d_ell2_cblinfun_set$'|) (A__questionmark_v2 |tptp.'C_ell2_d_ell2_cblinfun_set$'|)) (= (|tptp.'plus$ab'| A__questionmark_v0 (|tptp.'plus$ab'| A__questionmark_v1 A__questionmark_v2)) (|tptp.'plus$ab'| A__questionmark_v1 (|tptp.'plus$ab'| A__questionmark_v0 A__questionmark_v2)))) (forall ((A__questionmark_v0 |tptp.'C_ell2_d_ell2_cblinfun$'|) (A__questionmark_v1 |tptp.'C_ell2_d_ell2_cblinfun$'|) (A__questionmark_v2 |tptp.'C_ell2_d_ell2_cblinfun$'|)) (let ((_let_1 (|tptp.'fun_app$n'| |tptp.'plus$a'| A__questionmark_v0))) (let ((_let_2 (|tptp.'fun_app$n'| |tptp.'plus$a'| A__questionmark_v1))) (= (|tptp.'fun_app$m'| _let_1 (|tptp.'fun_app$m'| _let_2 A__questionmark_v2)) (|tptp.'fun_app$m'| _let_2 (|tptp.'fun_app$m'| _let_1 A__questionmark_v2)))))) (forall ((A__questionmark_v0 |tptp.'A_c_prod_ell2_b_d_prod_ell2_cblinfun$'|) (A__questionmark_v1 |tptp.'A_c_prod_ell2_b_d_prod_ell2_cblinfun$'|) (A__questionmark_v2 |tptp.'A_c_prod_ell2_b_d_prod_ell2_cblinfun$'|)) (let ((_let_1 (|tptp.'fun_app$s'| |tptp.'plus$b'| A__questionmark_v0))) (let ((_let_2 (|tptp.'fun_app$s'| |tptp.'plus$b'| A__questionmark_v1))) (= (|tptp.'fun_app$r'| _let_1 (|tptp.'fun_app$r'| _let_2 A__questionmark_v2)) (|tptp.'fun_app$r'| _let_2 (|tptp.'fun_app$r'| _let_1 A__questionmark_v2)))))) (forall ((A__questionmark_v0 |tptp.'Complex$'|) (A__questionmark_v1 |tptp.'Complex$'|) (A__questionmark_v2 |tptp.'Complex$'|)) (= (|tptp.'plus$'| (|tptp.'plus$'| A__questionmark_v0 A__questionmark_v1) A__questionmark_v2) (|tptp.'plus$'| A__questionmark_v0 (|tptp.'plus$'| A__questionmark_v1 A__questionmark_v2)))) (forall ((A__questionmark_v0 |tptp.'Complex$'|) (A__questionmark_v1 |tptp.'Complex$'|)) (= (|tptp.'plus$'| A__questionmark_v0 A__questionmark_v1) (|tptp.'plus$'| A__questionmark_v1 A__questionmark_v0))) (forall ((A__questionmark_v0 |tptp.'Complex$'|) (A__questionmark_v1 |tptp.'Complex$'|) (A__questionmark_v2 |tptp.'Complex$'|)) (= (|tptp.'plus$'| A__questionmark_v0 (|tptp.'plus$'| A__questionmark_v1 A__questionmark_v2)) (|tptp.'plus$'| A__questionmark_v1 (|tptp.'plus$'| A__questionmark_v0 A__questionmark_v2)))) (forall ((A__questionmark_v0 |tptp.'Complex$'|) (A__questionmark_v1 |tptp.'Complex$'|) (A__questionmark_v2 |tptp.'Complex$'|)) (= (|tptp.'plus$'| (|tptp.'plus$'| A__questionmark_v0 A__questionmark_v1) A__questionmark_v2) (|tptp.'plus$'| A__questionmark_v0 (|tptp.'plus$'| A__questionmark_v1 A__questionmark_v2)))) (forall ((A__questionmark_v0 |tptp.'A_c_prod_bool_fun$'|) (A__questionmark_v1 |tptp.'A$'|) (A__questionmark_v2 |tptp.'C$'|)) (= (|tptp.'fun_app$ab'| (|tptp.'fun_app$ac'| (|tptp.'curry$'| A__questionmark_v0) A__questionmark_v1) A__questionmark_v2) (|tptp.'fun_app$a'| A__questionmark_v0 (|tptp.'fun_app$p'| (|tptp.'fun_app$q'| |tptp.'pair$'| A__questionmark_v1) A__questionmark_v2)))) (forall ((A__questionmark_v0 |tptp.'A_c_prod_a_c_prod_prod$'|)) (=> (forall ((A__questionmark_v1 |tptp.'A$'|) (A__questionmark_v2 |tptp.'C$'|) (A__questionmark_v3 |tptp.'A_c_prod$'|)) (=> (= A__questionmark_v0 (|tptp.'pair$k'| (|tptp.'fun_app$p'| (|tptp.'fun_app$q'| |tptp.'pair$'| A__questionmark_v1) A__questionmark_v2) A__questionmark_v3)) false)) false)) (forall ((A__questionmark_v0 |tptp.'A_c_prod_ell2_b_d_prod_ell2_cblinfun$'|) (A__questionmark_v1 |tptp.'C_ell2_d_ell2_cblinfun$'|) (A__questionmark_v2 |tptp.'A_c_prod_ell2_b_d_prod_ell2_cblinfun_c_ell2_d_ell2_cblinfun_prod_set$'|) (A__questionmark_v3 |tptp.'C_ell2_d_ell2_cblinfun$'|)) (=> (and (|tptp.'member$k'| (|tptp.'pair$c'| A__questionmark_v0 A__questionmark_v1) A__questionmark_v2) (= A__questionmark_v3 A__questionmark_v1)) (|tptp.'member$k'| (|tptp.'pair$c'| A__questionmark_v0 A__questionmark_v3) A__questionmark_v2))) (forall ((A__questionmark_v0 |tptp.'C_ell2_d_ell2_cblinfun$'|) (A__questionmark_v1 |tptp.'A_c_prod_ell2_b_d_prod_ell2_cblinfun$'|) (A__questionmark_v2 |tptp.'C_ell2_d_ell2_cblinfun_a_c_prod_ell2_b_d_prod_ell2_cblinfun_prod_set$'|) (A__questionmark_v3 |tptp.'A_c_prod_ell2_b_d_prod_ell2_cblinfun$'|)) (=> (and (|tptp.'member$l'| (|tptp.'pair$b'| A__questionmark_v0 A__questionmark_v1) A__questionmark_v2) (= A__questionmark_v3 A__questionmark_v1)) (|tptp.'member$l'| (|tptp.'pair$b'| A__questionmark_v0 A__questionmark_v3) A__questionmark_v2))) (forall ((A__questionmark_v0 |tptp.'C_ell2_d_ell2_cblinfun$'|) (A__questionmark_v1 |tptp.'C_ell2_d_ell2_cblinfun$'|) (A__questionmark_v2 |tptp.'C_ell2_d_ell2_cblinfun_c_ell2_d_ell2_cblinfun_prod_set$'|) (A__questionmark_v3 |tptp.'C_ell2_d_ell2_cblinfun$'|)) (=> (and (|tptp.'member$m'| (|tptp.'pair$a'| A__questionmark_v0 A__questionmark_v1) A__questionmark_v2) (= A__questionmark_v3 A__questionmark_v1)) (|tptp.'member$m'| (|tptp.'pair$a'| A__questionmark_v0 A__questionmark_v3) A__questionmark_v2))) (forall ((A__questionmark_v0 |tptp.'A_c_prod$'|) (A__questionmark_v1 |tptp.'A_c_prod$'|) (A__questionmark_v2 |tptp.'A_c_prod_a_c_prod_prod_set$'|) (A__questionmark_v3 |tptp.'A_c_prod$'|)) (=> (and (|tptp.'member$n'| (|tptp.'pair$k'| A__questionmark_v0 A__questionmark_v1) A__questionmark_v2) (= A__questionmark_v3 A__questionmark_v1)) (|tptp.'member$n'| (|tptp.'pair$k'| A__questionmark_v0 A__questionmark_v3) A__questionmark_v2))) (forall ((A__questionmark_v0 |tptp.'C$'|) (A__questionmark_v1 |tptp.'A$'|) (A__questionmark_v2 |tptp.'C_a_prod_set$'|) (A__questionmark_v3 |tptp.'A$'|)) (=> (and (|tptp.'member$'| (|tptp.'pair$l'| A__questionmark_v0 A__questionmark_v1) A__questionmark_v2) (= A__questionmark_v3 A__questionmark_v1)) (|tptp.'member$'| (|tptp.'pair$l'| A__questionmark_v0 A__questionmark_v3) A__questionmark_v2))) (forall ((A__questionmark_v0 |tptp.'A$'|) (A__questionmark_v1 |tptp.'C$'|) (A__questionmark_v2 |tptp.'A_c_prod_set$'|) (A__questionmark_v3 |tptp.'C$'|)) (let ((_let_1 (|tptp.'fun_app$q'| |tptp.'pair$'| A__questionmark_v0))) (=> (and (|tptp.'member$a'| (|tptp.'fun_app$p'| _let_1 A__questionmark_v1) A__questionmark_v2) (= A__questionmark_v3 A__questionmark_v1)) (|tptp.'member$a'| (|tptp.'fun_app$p'| _let_1 A__questionmark_v3) A__questionmark_v2)))) (forall ((A__questionmark_v0 |tptp.'C_ell2_d_ell2_cblinfun_a_c_prod_ell2_b_d_prod_ell2_cblinfun_prod$'|) (A__questionmark_v1 |tptp.'C_ell2_d_ell2_cblinfun_a_c_prod_ell2_b_d_prod_ell2_cblinfun_prod$'|)) (= (|tptp.'fst$'| (|tptp.'plus$d'| A__questionmark_v0 A__questionmark_v1)) (|tptp.'fun_app$m'| (|tptp.'fun_app$n'| |tptp.'plus$a'| (|tptp.'fst$'| A__questionmark_v0)) (|tptp.'fst$'| A__questionmark_v1)))) (forall ((A__questionmark_v0 |tptp.'C_ell2_d_ell2_cblinfun_c_ell2_d_ell2_cblinfun_prod$'|) (A__questionmark_v1 |tptp.'C_ell2_d_ell2_cblinfun_c_ell2_d_ell2_cblinfun_prod$'|)) (= (|tptp.'fst$a'| (|tptp.'plus$c'| A__questionmark_v0 A__questionmark_v1)) (|tptp.'fun_app$m'| (|tptp.'fun_app$n'| |tptp.'plus$a'| (|tptp.'fst$a'| A__questionmark_v0)) (|tptp.'fst$a'| A__questionmark_v1)))) (forall ((A__questionmark_v0 |tptp.'A_c_prod_ell2_b_d_prod_ell2_cblinfun_c_ell2_d_ell2_cblinfun_prod$'|) (A__questionmark_v1 |tptp.'A_c_prod_ell2_b_d_prod_ell2_cblinfun_c_ell2_d_ell2_cblinfun_prod$'|)) (= (|tptp.'fst$b'| (|tptp.'plus$e'| A__questionmark_v0 A__questionmark_v1)) (|tptp.'fun_app$r'| (|tptp.'fun_app$s'| |tptp.'plus$b'| (|tptp.'fst$b'| A__questionmark_v0)) (|tptp.'fst$b'| A__questionmark_v1)))) (forall ((A__questionmark_v0 |tptp.'A_c_prod_ell2_b_d_prod_ell2_cblinfun_c_ell2_d_ell2_cblinfun_prod$'|) (A__questionmark_v1 |tptp.'A_c_prod_ell2_b_d_prod_ell2_cblinfun_c_ell2_d_ell2_cblinfun_prod$'|)) (= (|tptp.'snd$'| (|tptp.'plus$e'| A__questionmark_v0 A__questionmark_v1)) (|tptp.'fun_app$m'| (|tptp.'fun_app$n'| |tptp.'plus$a'| (|tptp.'snd$'| A__questionmark_v0)) (|tptp.'snd$'| A__questionmark_v1)))) (forall ((A__questionmark_v0 |tptp.'C_ell2_d_ell2_cblinfun_c_ell2_d_ell2_cblinfun_prod$'|) (A__questionmark_v1 |tptp.'C_ell2_d_ell2_cblinfun_c_ell2_d_ell2_cblinfun_prod$'|)) (= (|tptp.'snd$a'| (|tptp.'plus$c'| A__questionmark_v0 A__questionmark_v1)) (|tptp.'fun_app$m'| (|tptp.'fun_app$n'| |tptp.'plus$a'| (|tptp.'snd$a'| A__questionmark_v0)) (|tptp.'snd$a'| A__questionmark_v1)))) (forall ((A__questionmark_v0 |tptp.'C_ell2_d_ell2_cblinfun_a_c_prod_ell2_b_d_prod_ell2_cblinfun_prod$'|) (A__questionmark_v1 |tptp.'C_ell2_d_ell2_cblinfun_a_c_prod_ell2_b_d_prod_ell2_cblinfun_prod$'|)) (= (|tptp.'snd$b'| (|tptp.'plus$d'| A__questionmark_v0 A__questionmark_v1)) (|tptp.'fun_app$r'| (|tptp.'fun_app$s'| |tptp.'plus$b'| (|tptp.'snd$b'| A__questionmark_v0)) (|tptp.'snd$b'| A__questionmark_v1)))) (forall ((A__questionmark_v0 |tptp.'C_ell2_d_ell2_cblinfun_set$'|) (A__questionmark_v1 |tptp.'C_ell2_d_ell2_cblinfun_c_ell2_d_ell2_cblinfun_cblinfun$'|) (A__questionmark_v2 |tptp.'C_ell2_d_ell2_cblinfun_c_ell2_d_ell2_cblinfun_fun$'|)) (=> (forall ((A__questionmark_v3 |tptp.'C_ell2_d_ell2_cblinfun$'|)) (=> (|tptp.'member$i'| A__questionmark_v3 A__questionmark_v0) (= (|tptp.'fun_app$m'| (|tptp.'cblinfun_apply$r'| A__questionmark_v1) A__questionmark_v3) (|tptp.'fun_app$m'| A__questionmark_v2 A__questionmark_v3)))) (|tptp.'cblinfun_extension_exists$'| A__questionmark_v0 A__questionmark_v2))) (forall ((A__questionmark_v0 |tptp.'A_c_prod_a_c_prod_prod_ell2_set$'|) (A__questionmark_v1 |tptp.'A_c_prod_a_c_prod_prod_ell2_b_d_prod_b_d_prod_prod_ell2_cblinfun$'|) (A__questionmark_v2 |tptp.'A_c_prod_a_c_prod_prod_ell2_b_d_prod_b_d_prod_prod_ell2_fun$'|)) (=> (forall ((A__questionmark_v3 |tptp.'A_c_prod_a_c_prod_prod_ell2$'|)) (=> (|tptp.'member$o'| A__questionmark_v3 A__questionmark_v0) (= (|tptp.'fun_app$v'| (|tptp.'cblinfun_apply$c'| A__questionmark_v1) A__questionmark_v3) (|tptp.'fun_app$v'| A__questionmark_v2 A__questionmark_v3)))) (|tptp.'cblinfun_extension_exists$a'| A__questionmark_v0 A__questionmark_v2))) (forall ((A__questionmark_v0 |tptp.'B_d_prod_ell2_set$'|) (A__questionmark_v1 |tptp.'B_d_prod_ell2_a_c_prod_ell2_cblinfun$'|) (A__questionmark_v2 |tptp.'B_d_prod_ell2_a_c_prod_ell2_fun$'|)) (=> (forall ((A__questionmark_v3 |tptp.'B_d_prod_ell2$'|)) (=> (|tptp.'member$b'| A__questionmark_v3 A__questionmark_v0) (= (|tptp.'fun_app$w'| (|tptp.'cblinfun_apply$s'| A__questionmark_v1) A__questionmark_v3) (|tptp.'fun_app$w'| A__questionmark_v2 A__questionmark_v3)))) (|tptp.'cblinfun_extension_exists$b'| A__questionmark_v0 A__questionmark_v2))) (forall ((A__questionmark_v0 |tptp.'C_ell2_set$'|) (A__questionmark_v1 |tptp.'C_ell2_d_ell2_cblinfun$'|) (A__questionmark_v2 |tptp.'C_ell2_d_ell2_fun$'|)) (=> (forall ((A__questionmark_v3 |tptp.'C_ell2$'|)) (=> (|tptp.'member$p'| A__questionmark_v3 A__questionmark_v0) (= (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| A__questionmark_v1) A__questionmark_v3) (|tptp.'fun_app$u'| A__questionmark_v2 A__questionmark_v3)))) (|tptp.'cblinfun_extension_exists$c'| A__questionmark_v0 A__questionmark_v2))) (forall ((A__questionmark_v0 |tptp.'A_ell2_set$'|) (A__questionmark_v1 |tptp.'A_ell2_b_ell2_cblinfun$'|) (A__questionmark_v2 |tptp.'A_ell2_b_ell2_fun$'|)) (=> (forall ((A__questionmark_v3 |tptp.'A_ell2$'|)) (=> (|tptp.'member$q'| A__questionmark_v3 A__questionmark_v0) (= (|tptp.'fun_app$t'| (|tptp.'cblinfun_apply$a'| A__questionmark_v1) A__questionmark_v3) (|tptp.'fun_app$t'| A__questionmark_v2 A__questionmark_v3)))) (|tptp.'cblinfun_extension_exists$d'| A__questionmark_v0 A__questionmark_v2))) (forall ((A__questionmark_v0 |tptp.'A_c_prod_ell2_set$'|) (A__questionmark_v1 |tptp.'A_c_prod_ell2_b_d_prod_ell2_cblinfun$'|) (A__questionmark_v2 |tptp.'A_c_prod_ell2_b_d_prod_ell2_fun$'|)) (=> (forall ((A__questionmark_v3 |tptp.'A_c_prod_ell2$'|)) (=> (|tptp.'member$c'| A__questionmark_v3 A__questionmark_v0) (= (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| A__questionmark_v1) A__questionmark_v3) (|tptp.'fun_app$k'| A__questionmark_v2 A__questionmark_v3)))) (|tptp.'cblinfun_extension_exists$e'| A__questionmark_v0 A__questionmark_v2))) (forall ((A__questionmark_v0 |tptp.'A_c_prod_ell2_b_d_prod_ell2_cblinfun_c_ell2_d_ell2_cblinfun_prod_bool_fun$'|) (A__questionmark_v1 |tptp.'A_c_prod_ell2_b_d_prod_ell2_cblinfun$'|) (A__questionmark_v2 |tptp.'C_ell2_d_ell2_cblinfun$'|)) (=> (|tptp.'fun_app$y'| A__questionmark_v0 (|tptp.'pair$c'| A__questionmark_v1 A__questionmark_v2)) (|tptp.'fun_app$g'| (|tptp.'fun_app$ad'| (|tptp.'curry$a'| A__questionmark_v0) A__questionmark_v1) A__questionmark_v2))) (forall ((A__questionmark_v0 |tptp.'C_ell2_d_ell2_cblinfun_a_c_prod_ell2_b_d_prod_ell2_cblinfun_prod_bool_fun$'|) (A__questionmark_v1 |tptp.'C_ell2_d_ell2_cblinfun$'|) (A__questionmark_v2 |tptp.'A_c_prod_ell2_b_d_prod_ell2_cblinfun$'|)) (=> (|tptp.'fun_app$z'| A__questionmark_v0 (|tptp.'pair$b'| A__questionmark_v1 A__questionmark_v2)) (|tptp.'fun_app$e'| (|tptp.'fun_app$ae'| (|tptp.'curry$b'| A__questionmark_v0) A__questionmark_v1) A__questionmark_v2))) (forall ((A__questionmark_v0 |tptp.'C_ell2_d_ell2_cblinfun_c_ell2_d_ell2_cblinfun_prod_bool_fun$'|) (A__questionmark_v1 |tptp.'C_ell2_d_ell2_cblinfun$'|) (A__questionmark_v2 |tptp.'C_ell2_d_ell2_cblinfun$'|)) (=> (|tptp.'fun_app$aa'| A__questionmark_v0 (|tptp.'pair$a'| A__questionmark_v1 A__questionmark_v2)) (|tptp.'fun_app$g'| (|tptp.'fun_app$h'| (|tptp.'curry$c'| A__questionmark_v0) A__questionmark_v1) A__questionmark_v2))) (forall ((A__questionmark_v0 |tptp.'A_c_prod_a_c_prod_prod_bool_fun$'|) (A__questionmark_v1 |tptp.'A_c_prod$'|) (A__questionmark_v2 |tptp.'A_c_prod$'|)) (=> (|tptp.'fun_app$x'| A__questionmark_v0 (|tptp.'pair$k'| A__questionmark_v1 A__questionmark_v2)) (|tptp.'fun_app$a'| (|tptp.'fun_app$af'| (|tptp.'curry$d'| A__questionmark_v0) A__questionmark_v1) A__questionmark_v2))) (forall ((A__questionmark_v0 |tptp.'C_a_prod_bool_fun$'|) (A__questionmark_v1 |tptp.'C$'|) (A__questionmark_v2 |tptp.'A$'|)) (=> (|tptp.'fun_app$'| A__questionmark_v0 (|tptp.'pair$l'| A__questionmark_v1 A__questionmark_v2)) (|tptp.'fun_app$d'| (|tptp.'fun_app$ag'| (|tptp.'curry$e'| A__questionmark_v0) A__questionmark_v1) A__questionmark_v2))) (forall ((A__questionmark_v0 |tptp.'A_c_prod_bool_fun$'|) (A__questionmark_v1 |tptp.'A$'|) (A__questionmark_v2 |tptp.'C$'|)) (=> (|tptp.'fun_app$a'| A__questionmark_v0 (|tptp.'fun_app$p'| (|tptp.'fun_app$q'| |tptp.'pair$'| A__questionmark_v1) A__questionmark_v2)) (|tptp.'fun_app$ab'| (|tptp.'fun_app$ac'| (|tptp.'curry$'| A__questionmark_v0) A__questionmark_v1) A__questionmark_v2))) (forall ((A__questionmark_v0 |tptp.'A_c_prod_a_c_prod_prod$'|)) (= (|tptp.'pair$k'| (|tptp.'fst$c'| A__questionmark_v0) (|tptp.'snd$c'| A__questionmark_v0)) A__questionmark_v0)) (forall ((A__questionmark_v0 |tptp.'A_c_prod_ell2_b_d_prod_ell2_cblinfun_c_ell2_d_ell2_cblinfun_prod$'|)) (= (|tptp.'pair$c'| (|tptp.'fst$b'| A__questionmark_v0) (|tptp.'snd$'| A__questionmark_v0)) A__questionmark_v0)) (forall ((A__questionmark_v0 |tptp.'C_ell2_d_ell2_cblinfun_a_c_prod_ell2_b_d_prod_ell2_cblinfun_prod$'|)) (= (|tptp.'pair$b'| (|tptp.'fst$'| A__questionmark_v0) (|tptp.'snd$b'| A__questionmark_v0)) A__questionmark_v0)) (forall ((A__questionmark_v0 |tptp.'C_ell2_d_ell2_cblinfun_c_ell2_d_ell2_cblinfun_prod$'|)) (= (|tptp.'pair$a'| (|tptp.'fst$a'| A__questionmark_v0) (|tptp.'snd$a'| A__questionmark_v0)) A__questionmark_v0)) (forall ((A__questionmark_v0 |tptp.'C_a_prod$'|)) (= (|tptp.'pair$l'| (|tptp.'fst$d'| A__questionmark_v0) (|tptp.'snd$d'| A__questionmark_v0)) A__questionmark_v0)) (forall ((A__questionmark_v0 |tptp.'A_c_prod$'|)) (= (|tptp.'fun_app$p'| (|tptp.'fun_app$q'| |tptp.'pair$'| (|tptp.'fst$e'| A__questionmark_v0)) (|tptp.'snd$e'| A__questionmark_v0)) A__questionmark_v0)) (forall ((A__questionmark_v0 |tptp.'A_c_prod_a_c_prod_prod$'|)) (= A__questionmark_v0 (|tptp.'pair$k'| (|tptp.'fst$c'| A__questionmark_v0) (|tptp.'snd$c'| A__questionmark_v0)))) (forall ((A__questionmark_v0 |tptp.'A_c_prod_ell2_b_d_prod_ell2_cblinfun_c_ell2_d_ell2_cblinfun_prod$'|)) (= A__questionmark_v0 (|tptp.'pair$c'| (|tptp.'fst$b'| A__questionmark_v0) (|tptp.'snd$'| A__questionmark_v0)))) (forall ((A__questionmark_v0 |tptp.'C_ell2_d_ell2_cblinfun_a_c_prod_ell2_b_d_prod_ell2_cblinfun_prod$'|)) (= A__questionmark_v0 (|tptp.'pair$b'| (|tptp.'fst$'| A__questionmark_v0) (|tptp.'snd$b'| A__questionmark_v0)))) (forall ((A__questionmark_v0 |tptp.'C_ell2_d_ell2_cblinfun_c_ell2_d_ell2_cblinfun_prod$'|)) (= A__questionmark_v0 (|tptp.'pair$a'| (|tptp.'fst$a'| A__questionmark_v0) (|tptp.'snd$a'| A__questionmark_v0)))) (forall ((A__questionmark_v0 |tptp.'C_a_prod$'|)) (= A__questionmark_v0 (|tptp.'pair$l'| (|tptp.'fst$d'| A__questionmark_v0) (|tptp.'snd$d'| A__questionmark_v0)))) (forall ((A__questionmark_v0 |tptp.'A_c_prod$'|)) (= A__questionmark_v0 (|tptp.'fun_app$p'| (|tptp.'fun_app$q'| |tptp.'pair$'| (|tptp.'fst$e'| A__questionmark_v0)) (|tptp.'snd$e'| A__questionmark_v0)))) (forall ((A__questionmark_v0 |tptp.'A_c_prod_a_c_prod_prod$'|)) (=> (=> (= A__questionmark_v0 (|tptp.'pair$k'| (|tptp.'fst$c'| A__questionmark_v0) (|tptp.'snd$c'| A__questionmark_v0))) false) false)) (forall ((A__questionmark_v0 |tptp.'A_c_prod_ell2_b_d_prod_ell2_cblinfun_c_ell2_d_ell2_cblinfun_prod$'|)) (=> (=> (= A__questionmark_v0 (|tptp.'pair$c'| (|tptp.'fst$b'| A__questionmark_v0) (|tptp.'snd$'| A__questionmark_v0))) false) false)) (forall ((A__questionmark_v0 |tptp.'C_ell2_d_ell2_cblinfun_a_c_prod_ell2_b_d_prod_ell2_cblinfun_prod$'|)) (=> (=> (= A__questionmark_v0 (|tptp.'pair$b'| (|tptp.'fst$'| A__questionmark_v0) (|tptp.'snd$b'| A__questionmark_v0))) false) false)) (forall ((A__questionmark_v0 |tptp.'C_ell2_d_ell2_cblinfun_c_ell2_d_ell2_cblinfun_prod$'|)) (=> (=> (= A__questionmark_v0 (|tptp.'pair$a'| (|tptp.'fst$a'| A__questionmark_v0) (|tptp.'snd$a'| A__questionmark_v0))) false) false)) (forall ((A__questionmark_v0 |tptp.'C_a_prod$'|)) (=> (=> (= A__questionmark_v0 (|tptp.'pair$l'| (|tptp.'fst$d'| A__questionmark_v0) (|tptp.'snd$d'| A__questionmark_v0))) false) false)) (forall ((A__questionmark_v0 |tptp.'A_c_prod$'|)) (=> (=> (= A__questionmark_v0 (|tptp.'fun_app$p'| (|tptp.'fun_app$q'| |tptp.'pair$'| (|tptp.'fst$e'| A__questionmark_v0)) (|tptp.'snd$e'| A__questionmark_v0))) false) false)) (forall ((A__questionmark_v0 |tptp.'A_c_prod_ell2_b_d_prod_ell2_cblinfun_c_ell2_d_ell2_cblinfun_bool_fun_fun$'|)) (= (exists ((A__questionmark_v1 |tptp.'A_c_prod_ell2_b_d_prod_ell2_cblinfun$'|) (A__questionmark_v2 |tptp.'C_ell2_d_ell2_cblinfun$'|)) (|tptp.'fun_app$g'| (|tptp.'fun_app$ad'| A__questionmark_v0 A__questionmark_v1) A__questionmark_v2)) (exists ((A__questionmark_v1 |tptp.'A_c_prod_ell2_b_d_prod_ell2_cblinfun_c_ell2_d_ell2_cblinfun_prod$'|)) (|tptp.'fun_app$g'| (|tptp.'fun_app$ad'| A__questionmark_v0 (|tptp.'fst$b'| A__questionmark_v1)) (|tptp.'snd$'| A__questionmark_v1))))) (forall ((A__questionmark_v0 |tptp.'C_ell2_d_ell2_cblinfun_a_c_prod_ell2_b_d_prod_ell2_cblinfun_bool_fun_fun$'|)) (= (exists ((A__questionmark_v1 |tptp.'C_ell2_d_ell2_cblinfun$'|) (A__questionmark_v2 |tptp.'A_c_prod_ell2_b_d_prod_ell2_cblinfun$'|)) (|tptp.'fun_app$e'| (|tptp.'fun_app$ae'| A__questionmark_v0 A__questionmark_v1) A__questionmark_v2)) (exists ((A__questionmark_v1 |tptp.'C_ell2_d_ell2_cblinfun_a_c_prod_ell2_b_d_prod_ell2_cblinfun_prod$'|)) (|tptp.'fun_app$e'| (|tptp.'fun_app$ae'| A__questionmark_v0 (|tptp.'fst$'| A__questionmark_v1)) (|tptp.'snd$b'| A__questionmark_v1))))) (forall ((A__questionmark_v0 |tptp.'C_ell2_d_ell2_cblinfun_c_ell2_d_ell2_cblinfun_bool_fun_fun$'|)) (= (exists ((A__questionmark_v1 |tptp.'C_ell2_d_ell2_cblinfun$'|) (A__questionmark_v2 |tptp.'C_ell2_d_ell2_cblinfun$'|)) (|tptp.'fun_app$g'| (|tptp.'fun_app$h'| A__questionmark_v0 A__questionmark_v1) A__questionmark_v2)) (exists ((A__questionmark_v1 |tptp.'C_ell2_d_ell2_cblinfun_c_ell2_d_ell2_cblinfun_prod$'|)) (|tptp.'fun_app$g'| (|tptp.'fun_app$h'| A__questionmark_v0 (|tptp.'fst$a'| A__questionmark_v1)) (|tptp.'snd$a'| A__questionmark_v1))))) (forall ((A__questionmark_v0 |tptp.'C_a_bool_fun_fun$'|)) (= (exists ((A__questionmark_v1 |tptp.'C$'|) (A__questionmark_v2 |tptp.'A$'|)) (|tptp.'fun_app$d'| (|tptp.'fun_app$ag'| A__questionmark_v0 A__questionmark_v1) A__questionmark_v2)) (exists ((A__questionmark_v1 |tptp.'C_a_prod$'|)) (|tptp.'fun_app$d'| (|tptp.'fun_app$ag'| A__questionmark_v0 (|tptp.'fst$d'| A__questionmark_v1)) (|tptp.'snd$d'| A__questionmark_v1))))) (forall ((A__questionmark_v0 |tptp.'A_c_bool_fun_fun$'|)) (= (exists ((A__questionmark_v1 |tptp.'A$'|) (A__questionmark_v2 |tptp.'C$'|)) (|tptp.'fun_app$ab'| (|tptp.'fun_app$ac'| A__questionmark_v0 A__questionmark_v1) A__questionmark_v2)) (exists ((A__questionmark_v1 |tptp.'A_c_prod$'|)) (|tptp.'fun_app$ab'| (|tptp.'fun_app$ac'| A__questionmark_v0 (|tptp.'fst$e'| A__questionmark_v1)) (|tptp.'snd$e'| A__questionmark_v1))))) (forall ((A__questionmark_v0 |tptp.'A_c_prod_ell2_b_d_prod_ell2_cblinfun_c_ell2_d_ell2_cblinfun_prod$'|) (A__questionmark_v1 |tptp.'A_c_prod_ell2_b_d_prod_ell2_cblinfun_c_ell2_d_ell2_cblinfun_prod$'|)) (= (= A__questionmark_v0 A__questionmark_v1) (and (= (|tptp.'fst$b'| A__questionmark_v0) (|tptp.'fst$b'| A__questionmark_v1)) (= (|tptp.'snd$'| A__questionmark_v0) (|tptp.'snd$'| A__questionmark_v1))))) (forall ((A__questionmark_v0 |tptp.'C_ell2_d_ell2_cblinfun_a_c_prod_ell2_b_d_prod_ell2_cblinfun_prod$'|) (A__questionmark_v1 |tptp.'C_ell2_d_ell2_cblinfun_a_c_prod_ell2_b_d_prod_ell2_cblinfun_prod$'|)) (= (= A__questionmark_v0 A__questionmark_v1) (and (= (|tptp.'fst$'| A__questionmark_v0) (|tptp.'fst$'| A__questionmark_v1)) (= (|tptp.'snd$b'| A__questionmark_v0) (|tptp.'snd$b'| A__questionmark_v1))))) (forall ((A__questionmark_v0 |tptp.'C_ell2_d_ell2_cblinfun_c_ell2_d_ell2_cblinfun_prod$'|) (A__questionmark_v1 |tptp.'C_ell2_d_ell2_cblinfun_c_ell2_d_ell2_cblinfun_prod$'|)) (= (= A__questionmark_v0 A__questionmark_v1) (and (= (|tptp.'fst$a'| A__questionmark_v0) (|tptp.'fst$a'| A__questionmark_v1)) (= (|tptp.'snd$a'| A__questionmark_v0) (|tptp.'snd$a'| A__questionmark_v1))))) (forall ((A__questionmark_v0 |tptp.'C_a_prod$'|) (A__questionmark_v1 |tptp.'C_a_prod$'|)) (= (= A__questionmark_v0 A__questionmark_v1) (and (= (|tptp.'fst$d'| A__questionmark_v0) (|tptp.'fst$d'| A__questionmark_v1)) (= (|tptp.'snd$d'| A__questionmark_v0) (|tptp.'snd$d'| A__questionmark_v1))))) (forall ((A__questionmark_v0 |tptp.'A_c_prod$'|) (A__questionmark_v1 |tptp.'A_c_prod$'|)) (= (= A__questionmark_v0 A__questionmark_v1) (and (= (|tptp.'fst$e'| A__questionmark_v0) (|tptp.'fst$e'| A__questionmark_v1)) (= (|tptp.'snd$e'| A__questionmark_v0) (|tptp.'snd$e'| A__questionmark_v1))))) (forall ((A__questionmark_v0 |tptp.'A_c_prod_ell2_b_d_prod_ell2_cblinfun_c_ell2_d_ell2_cblinfun_prod$'|) (A__questionmark_v1 |tptp.'A_c_prod_ell2_b_d_prod_ell2_cblinfun_c_ell2_d_ell2_cblinfun_prod$'|)) (=> (and (= (|tptp.'fst$b'| A__questionmark_v0) (|tptp.'fst$b'| A__questionmark_v1)) (= (|tptp.'snd$'| A__questionmark_v0) (|tptp.'snd$'| A__questionmark_v1))) (= A__questionmark_v0 A__questionmark_v1))) (forall ((A__questionmark_v0 |tptp.'C_ell2_d_ell2_cblinfun_a_c_prod_ell2_b_d_prod_ell2_cblinfun_prod$'|) (A__questionmark_v1 |tptp.'C_ell2_d_ell2_cblinfun_a_c_prod_ell2_b_d_prod_ell2_cblinfun_prod$'|)) (=> (and (= (|tptp.'fst$'| A__questionmark_v0) (|tptp.'fst$'| A__questionmark_v1)) (= (|tptp.'snd$b'| A__questionmark_v0) (|tptp.'snd$b'| A__questionmark_v1))) (= A__questionmark_v0 A__questionmark_v1))) (forall ((A__questionmark_v0 |tptp.'C_ell2_d_ell2_cblinfun_c_ell2_d_ell2_cblinfun_prod$'|) (A__questionmark_v1 |tptp.'C_ell2_d_ell2_cblinfun_c_ell2_d_ell2_cblinfun_prod$'|)) (=> (and (= (|tptp.'fst$a'| A__questionmark_v0) (|tptp.'fst$a'| A__questionmark_v1)) (= (|tptp.'snd$a'| A__questionmark_v0) (|tptp.'snd$a'| A__questionmark_v1))) (= A__questionmark_v0 A__questionmark_v1))) (forall ((A__questionmark_v0 |tptp.'C_a_prod$'|) (A__questionmark_v1 |tptp.'C_a_prod$'|)) (=> (and (= (|tptp.'fst$d'| A__questionmark_v0) (|tptp.'fst$d'| A__questionmark_v1)) (= (|tptp.'snd$d'| A__questionmark_v0) (|tptp.'snd$d'| A__questionmark_v1))) (= A__questionmark_v0 A__questionmark_v1))) (forall ((A__questionmark_v0 |tptp.'A_c_prod$'|) (A__questionmark_v1 |tptp.'A_c_prod$'|)) (=> (and (= (|tptp.'fst$e'| A__questionmark_v0) (|tptp.'fst$e'| A__questionmark_v1)) (= (|tptp.'snd$e'| A__questionmark_v0) (|tptp.'snd$e'| A__questionmark_v1))) (= A__questionmark_v0 A__questionmark_v1))) (forall ((A__questionmark_v0 |tptp.'A_c_prod_ell2_b_d_prod_ell2_cblinfun_c_ell2_d_ell2_cblinfun_prod$'|) (A__questionmark_v1 |tptp.'A_c_prod_ell2_b_d_prod_ell2_cblinfun_c_ell2_d_ell2_cblinfun_prod$'|)) (=> (and (= (|tptp.'fst$b'| A__questionmark_v0) (|tptp.'fst$b'| A__questionmark_v1)) (= (|tptp.'snd$'| A__questionmark_v0) (|tptp.'snd$'| A__questionmark_v1))) (= A__questionmark_v0 A__questionmark_v1))) (forall ((A__questionmark_v0 |tptp.'C_ell2_d_ell2_cblinfun_a_c_prod_ell2_b_d_prod_ell2_cblinfun_prod$'|) (A__questionmark_v1 |tptp.'C_ell2_d_ell2_cblinfun_a_c_prod_ell2_b_d_prod_ell2_cblinfun_prod$'|)) (=> (and (= (|tptp.'fst$'| A__questionmark_v0) (|tptp.'fst$'| A__questionmark_v1)) (= (|tptp.'snd$b'| A__questionmark_v0) (|tptp.'snd$b'| A__questionmark_v1))) (= A__questionmark_v0 A__questionmark_v1))) (forall ((A__questionmark_v0 |tptp.'C_ell2_d_ell2_cblinfun_c_ell2_d_ell2_cblinfun_prod$'|) (A__questionmark_v1 |tptp.'C_ell2_d_ell2_cblinfun_c_ell2_d_ell2_cblinfun_prod$'|)) (=> (and (= (|tptp.'fst$a'| A__questionmark_v0) (|tptp.'fst$a'| A__questionmark_v1)) (= (|tptp.'snd$a'| A__questionmark_v0) (|tptp.'snd$a'| A__questionmark_v1))) (= A__questionmark_v0 A__questionmark_v1))) (forall ((A__questionmark_v0 |tptp.'C_a_prod$'|) (A__questionmark_v1 |tptp.'C_a_prod$'|)) (=> (and (= (|tptp.'fst$d'| A__questionmark_v0) (|tptp.'fst$d'| A__questionmark_v1)) (= (|tptp.'snd$d'| A__questionmark_v0) (|tptp.'snd$d'| A__questionmark_v1))) (= A__questionmark_v0 A__questionmark_v1))) (forall ((A__questionmark_v0 |tptp.'A_c_prod$'|) (A__questionmark_v1 |tptp.'A_c_prod$'|)) (=> (and (= (|tptp.'fst$e'| A__questionmark_v0) (|tptp.'fst$e'| A__questionmark_v1)) (= (|tptp.'snd$e'| A__questionmark_v0) (|tptp.'snd$e'| A__questionmark_v1))) (= A__questionmark_v0 A__questionmark_v1))) (forall ((A__questionmark_v0 |tptp.'A_c_prod$'|) (A__questionmark_v1 |tptp.'A_c_prod$'|)) (= (|tptp.'snd$c'| (|tptp.'pair$k'| A__questionmark_v0 A__questionmark_v1)) A__questionmark_v1)) (forall ((A__questionmark_v0 |tptp.'A_c_prod_ell2_b_d_prod_ell2_cblinfun$'|) (A__questionmark_v1 |tptp.'C_ell2_d_ell2_cblinfun$'|)) (= (|tptp.'snd$'| (|tptp.'pair$c'| A__questionmark_v0 A__questionmark_v1)) A__questionmark_v1)) (forall ((A__questionmark_v0 |tptp.'C_ell2_d_ell2_cblinfun$'|) (A__questionmark_v1 |tptp.'A_c_prod_ell2_b_d_prod_ell2_cblinfun$'|)) (= (|tptp.'snd$b'| (|tptp.'pair$b'| A__questionmark_v0 A__questionmark_v1)) A__questionmark_v1)) (forall ((A__questionmark_v0 |tptp.'C_ell2_d_ell2_cblinfun$'|) (A__questionmark_v1 |tptp.'C_ell2_d_ell2_cblinfun$'|)) (= (|tptp.'snd$a'| (|tptp.'pair$a'| A__questionmark_v0 A__questionmark_v1)) A__questionmark_v1)) (forall ((A__questionmark_v0 |tptp.'C$'|) (A__questionmark_v1 |tptp.'A$'|)) (= (|tptp.'snd$d'| (|tptp.'pair$l'| A__questionmark_v0 A__questionmark_v1)) A__questionmark_v1)) (forall ((A__questionmark_v0 |tptp.'A$'|) (A__questionmark_v1 |tptp.'C$'|)) (= (|tptp.'snd$e'| (|tptp.'fun_app$p'| (|tptp.'fun_app$q'| |tptp.'pair$'| A__questionmark_v0) A__questionmark_v1)) A__questionmark_v1)) (forall ((A__questionmark_v0 |tptp.'A_c_prod$'|) (A__questionmark_v1 |tptp.'A_c_prod$'|) (A__questionmark_v2 |tptp.'A_c_prod$'|)) (=> (= (|tptp.'snd$c'| (|tptp.'pair$k'| A__questionmark_v0 A__questionmark_v1)) A__questionmark_v2) (= A__questionmark_v1 A__questionmark_v2))) (forall ((A__questionmark_v0 |tptp.'A_c_prod_ell2_b_d_prod_ell2_cblinfun$'|) (A__questionmark_v1 |tptp.'C_ell2_d_ell2_cblinfun$'|) (A__questionmark_v2 |tptp.'C_ell2_d_ell2_cblinfun$'|)) (=> (= (|tptp.'snd$'| (|tptp.'pair$c'| A__questionmark_v0 A__questionmark_v1)) A__questionmark_v2) (= A__questionmark_v1 A__questionmark_v2))) (forall ((A__questionmark_v0 |tptp.'C_ell2_d_ell2_cblinfun$'|) (A__questionmark_v1 |tptp.'A_c_prod_ell2_b_d_prod_ell2_cblinfun$'|) (A__questionmark_v2 |tptp.'A_c_prod_ell2_b_d_prod_ell2_cblinfun$'|)) (=> (= (|tptp.'snd$b'| (|tptp.'pair$b'| A__questionmark_v0 A__questionmark_v1)) A__questionmark_v2) (= A__questionmark_v1 A__questionmark_v2))) (forall ((A__questionmark_v0 |tptp.'C_ell2_d_ell2_cblinfun$'|) (A__questionmark_v1 |tptp.'C_ell2_d_ell2_cblinfun$'|) (A__questionmark_v2 |tptp.'C_ell2_d_ell2_cblinfun$'|)) (=> (= (|tptp.'snd$a'| (|tptp.'pair$a'| A__questionmark_v0 A__questionmark_v1)) A__questionmark_v2) (= A__questionmark_v1 A__questionmark_v2))) (forall ((A__questionmark_v0 |tptp.'C$'|) (A__questionmark_v1 |tptp.'A$'|) (A__questionmark_v2 |tptp.'A$'|)) (=> (= (|tptp.'snd$d'| (|tptp.'pair$l'| A__questionmark_v0 A__questionmark_v1)) A__questionmark_v2) (= A__questionmark_v1 A__questionmark_v2))) (forall ((A__questionmark_v0 |tptp.'A$'|) (A__questionmark_v1 |tptp.'C$'|) (A__questionmark_v2 |tptp.'C$'|)) (=> (= (|tptp.'snd$e'| (|tptp.'fun_app$p'| (|tptp.'fun_app$q'| |tptp.'pair$'| A__questionmark_v0) A__questionmark_v1)) A__questionmark_v2) (= A__questionmark_v1 A__questionmark_v2))) (forall ((A__questionmark_v0 |tptp.'A_c_prod$'|) (A__questionmark_v1 |tptp.'A_c_prod$'|)) (= (|tptp.'fst$c'| (|tptp.'pair$k'| A__questionmark_v0 A__questionmark_v1)) A__questionmark_v0)) (forall ((A__questionmark_v0 |tptp.'A_c_prod_ell2_b_d_prod_ell2_cblinfun$'|) (A__questionmark_v1 |tptp.'C_ell2_d_ell2_cblinfun$'|)) (= (|tptp.'fst$b'| (|tptp.'pair$c'| A__questionmark_v0 A__questionmark_v1)) A__questionmark_v0)) (forall ((A__questionmark_v0 |tptp.'C_ell2_d_ell2_cblinfun$'|) (A__questionmark_v1 |tptp.'A_c_prod_ell2_b_d_prod_ell2_cblinfun$'|)) (= (|tptp.'fst$'| (|tptp.'pair$b'| A__questionmark_v0 A__questionmark_v1)) A__questionmark_v0)) (forall ((A__questionmark_v0 |tptp.'C_ell2_d_ell2_cblinfun$'|) (A__questionmark_v1 |tptp.'C_ell2_d_ell2_cblinfun$'|)) (= (|tptp.'fst$a'| (|tptp.'pair$a'| A__questionmark_v0 A__questionmark_v1)) A__questionmark_v0)) (forall ((A__questionmark_v0 |tptp.'C$'|) (A__questionmark_v1 |tptp.'A$'|)) (= (|tptp.'fst$d'| (|tptp.'pair$l'| A__questionmark_v0 A__questionmark_v1)) A__questionmark_v0)) (forall ((A__questionmark_v0 |tptp.'A$'|) (A__questionmark_v1 |tptp.'C$'|)) (= (|tptp.'fst$e'| (|tptp.'fun_app$p'| (|tptp.'fun_app$q'| |tptp.'pair$'| A__questionmark_v0) A__questionmark_v1)) A__questionmark_v0)) (forall ((A__questionmark_v0 |tptp.'A_c_prod$'|) (A__questionmark_v1 |tptp.'A_c_prod$'|) (A__questionmark_v2 |tptp.'A_c_prod$'|)) (=> (= (|tptp.'fst$c'| (|tptp.'pair$k'| A__questionmark_v0 A__questionmark_v1)) A__questionmark_v2) (= A__questionmark_v0 A__questionmark_v2))) (forall ((A__questionmark_v0 |tptp.'A_c_prod_ell2_b_d_prod_ell2_cblinfun$'|) (A__questionmark_v1 |tptp.'C_ell2_d_ell2_cblinfun$'|) (A__questionmark_v2 |tptp.'A_c_prod_ell2_b_d_prod_ell2_cblinfun$'|)) (=> (= (|tptp.'fst$b'| (|tptp.'pair$c'| A__questionmark_v0 A__questionmark_v1)) A__questionmark_v2) (= A__questionmark_v0 A__questionmark_v2))) (forall ((A__questionmark_v0 |tptp.'C_ell2_d_ell2_cblinfun$'|) (A__questionmark_v1 |tptp.'A_c_prod_ell2_b_d_prod_ell2_cblinfun$'|) (A__questionmark_v2 |tptp.'C_ell2_d_ell2_cblinfun$'|)) (=> (= (|tptp.'fst$'| (|tptp.'pair$b'| A__questionmark_v0 A__questionmark_v1)) A__questionmark_v2) (= A__questionmark_v0 A__questionmark_v2))) (forall ((A__questionmark_v0 |tptp.'C_ell2_d_ell2_cblinfun$'|) (A__questionmark_v1 |tptp.'C_ell2_d_ell2_cblinfun$'|) (A__questionmark_v2 |tptp.'C_ell2_d_ell2_cblinfun$'|)) (=> (= (|tptp.'fst$a'| (|tptp.'pair$a'| A__questionmark_v0 A__questionmark_v1)) A__questionmark_v2) (= A__questionmark_v0 A__questionmark_v2))) (forall ((A__questionmark_v0 |tptp.'C$'|) (A__questionmark_v1 |tptp.'A$'|) (A__questionmark_v2 |tptp.'C$'|)) (=> (= (|tptp.'fst$d'| (|tptp.'pair$l'| A__questionmark_v0 A__questionmark_v1)) A__questionmark_v2) (= A__questionmark_v0 A__questionmark_v2))) (forall ((A__questionmark_v0 |tptp.'A$'|) (A__questionmark_v1 |tptp.'C$'|) (A__questionmark_v2 |tptp.'A$'|)) (=> (= (|tptp.'fst$e'| (|tptp.'fun_app$p'| (|tptp.'fun_app$q'| |tptp.'pair$'| A__questionmark_v0) A__questionmark_v1)) A__questionmark_v2) (= A__questionmark_v0 A__questionmark_v2))) (forall ((A__questionmark_v0 |tptp.'C_ell2_d_ell2_cblinfun_c_ell2_d_ell2_cblinfun_prod$'|) (A__questionmark_v1 |tptp.'C_ell2_d_ell2_cblinfun_c_ell2_d_ell2_cblinfun_prod$'|)) (= (|tptp.'plus$c'| A__questionmark_v0 A__questionmark_v1) (|tptp.'pair$a'| (|tptp.'fun_app$m'| (|tptp.'fun_app$n'| |tptp.'plus$a'| (|tptp.'fst$a'| A__questionmark_v0)) (|tptp.'fst$a'| A__questionmark_v1)) (|tptp.'fun_app$m'| (|tptp.'fun_app$n'| |tptp.'plus$a'| (|tptp.'snd$a'| A__questionmark_v0)) (|tptp.'snd$a'| A__questionmark_v1))))) (forall ((A__questionmark_v0 |tptp.'C_ell2_d_ell2_cblinfun_a_c_prod_ell2_b_d_prod_ell2_cblinfun_prod$'|) (A__questionmark_v1 |tptp.'C_ell2_d_ell2_cblinfun_a_c_prod_ell2_b_d_prod_ell2_cblinfun_prod$'|)) (= (|tptp.'plus$d'| A__questionmark_v0 A__questionmark_v1) (|tptp.'pair$b'| (|tptp.'fun_app$m'| (|tptp.'fun_app$n'| |tptp.'plus$a'| (|tptp.'fst$'| A__questionmark_v0)) (|tptp.'fst$'| A__questionmark_v1)) (|tptp.'fun_app$r'| (|tptp.'fun_app$s'| |tptp.'plus$b'| (|tptp.'snd$b'| A__questionmark_v0)) (|tptp.'snd$b'| A__questionmark_v1))))) (forall ((A__questionmark_v0 |tptp.'A_c_prod_ell2_b_d_prod_ell2_cblinfun_c_ell2_d_ell2_cblinfun_prod$'|) (A__questionmark_v1 |tptp.'A_c_prod_ell2_b_d_prod_ell2_cblinfun_c_ell2_d_ell2_cblinfun_prod$'|)) (= (|tptp.'plus$e'| A__questionmark_v0 A__questionmark_v1) (|tptp.'pair$c'| (|tptp.'fun_app$r'| (|tptp.'fun_app$s'| |tptp.'plus$b'| (|tptp.'fst$b'| A__questionmark_v0)) (|tptp.'fst$b'| A__questionmark_v1)) (|tptp.'fun_app$m'| (|tptp.'fun_app$n'| |tptp.'plus$a'| (|tptp.'snd$'| A__questionmark_v0)) (|tptp.'snd$'| A__questionmark_v1))))) (forall ((A__questionmark_v0 |tptp.'A_c_prod_ell2_b_d_prod_ell2_cblinfun_a_c_prod_ell2_b_d_prod_ell2_cblinfun_prod$'|) (A__questionmark_v1 |tptp.'A_c_prod_ell2_b_d_prod_ell2_cblinfun_a_c_prod_ell2_b_d_prod_ell2_cblinfun_prod$'|)) (= (|tptp.'plus$f'| A__questionmark_v0 A__questionmark_v1) (|tptp.'pair$d'| (|tptp.'fun_app$r'| (|tptp.'fun_app$s'| |tptp.'plus$b'| (|tptp.'fst$f'| A__questionmark_v0)) (|tptp.'fst$f'| A__questionmark_v1)) (|tptp.'fun_app$r'| (|tptp.'fun_app$s'| |tptp.'plus$b'| (|tptp.'snd$f'| A__questionmark_v0)) (|tptp.'snd$f'| A__questionmark_v1))))) (forall ((A__questionmark_v0 |tptp.'Complex_complex_prod$'|) (A__questionmark_v1 |tptp.'Complex_complex_prod$'|)) (= (|tptp.'plus$g'| A__questionmark_v0 A__questionmark_v1) (|tptp.'pair$e'| (|tptp.'plus$'| (|tptp.'fst$g'| A__questionmark_v0) (|tptp.'fst$g'| A__questionmark_v1)) (|tptp.'plus$'| (|tptp.'snd$g'| A__questionmark_v0) (|tptp.'snd$g'| A__questionmark_v1))))) (forall ((A__questionmark_v0 |tptp.'D_ell2_complex_prod$'|) (A__questionmark_v1 |tptp.'D_ell2_complex_prod$'|)) (= (|tptp.'plus$h'| A__questionmark_v0 A__questionmark_v1) (|tptp.'pair$f'| (|tptp.'plus$i'| (|tptp.'fst$h'| A__questionmark_v0) (|tptp.'fst$h'| A__questionmark_v1)) (|tptp.'plus$'| (|tptp.'snd$h'| A__questionmark_v0) (|tptp.'snd$h'| A__questionmark_v1))))) (forall ((A__questionmark_v0 |tptp.'Complex_d_ell2_prod$'|) (A__questionmark_v1 |tptp.'Complex_d_ell2_prod$'|)) (= (|tptp.'plus$j'| A__questionmark_v0 A__questionmark_v1) (|tptp.'pair$g'| (|tptp.'plus$'| (|tptp.'fst$i'| A__questionmark_v0) (|tptp.'fst$i'| A__questionmark_v1)) (|tptp.'plus$i'| (|tptp.'snd$i'| A__questionmark_v0) (|tptp.'snd$i'| A__questionmark_v1))))) (forall ((A__questionmark_v0 |tptp.'D_ell2_d_ell2_prod$'|) (A__questionmark_v1 |tptp.'D_ell2_d_ell2_prod$'|)) (= (|tptp.'plus$k'| A__questionmark_v0 A__questionmark_v1) (|tptp.'pair$h'| (|tptp.'plus$i'| (|tptp.'fst$j'| A__questionmark_v0) (|tptp.'fst$j'| A__questionmark_v1)) (|tptp.'plus$i'| (|tptp.'snd$j'| A__questionmark_v0) (|tptp.'snd$j'| A__questionmark_v1))))) (forall ((A__questionmark_v0 |tptp.'A_c_prod_ell2_complex_prod$'|) (A__questionmark_v1 |tptp.'A_c_prod_ell2_complex_prod$'|)) (= (|tptp.'plus$l'| A__questionmark_v0 A__questionmark_v1) (|tptp.'pair$i'| (|tptp.'plus$m'| (|tptp.'fst$k'| A__questionmark_v0) (|tptp.'fst$k'| A__questionmark_v1)) (|tptp.'plus$'| (|tptp.'snd$k'| A__questionmark_v0) (|tptp.'snd$k'| A__questionmark_v1))))) (forall ((A__questionmark_v0 |tptp.'Complex_a_c_prod_ell2_prod$'|) (A__questionmark_v1 |tptp.'Complex_a_c_prod_ell2_prod$'|)) (= (|tptp.'plus$n'| A__questionmark_v0 A__questionmark_v1) (|tptp.'pair$j'| (|tptp.'plus$'| (|tptp.'fst$l'| A__questionmark_v0) (|tptp.'fst$l'| A__questionmark_v1)) (|tptp.'plus$m'| (|tptp.'snd$l'| A__questionmark_v0) (|tptp.'snd$l'| A__questionmark_v1))))) (forall ((A__questionmark_v0 |tptp.'A_c_prod_ell2_b_d_prod_ell2_cblinfun_c_ell2_d_ell2_cblinfun_prod_bool_fun$'|) (A__questionmark_v1 |tptp.'A_c_prod_ell2_b_d_prod_ell2_cblinfun$'|) (A__questionmark_v2 |tptp.'C_ell2_d_ell2_cblinfun$'|)) (=> (and (|tptp.'fun_app$g'| (|tptp.'fun_app$ad'| (|tptp.'curry$a'| A__questionmark_v0) A__questionmark_v1) A__questionmark_v2) (=> (|tptp.'fun_app$y'| A__questionmark_v0 (|tptp.'pair$c'| A__questionmark_v1 A__questionmark_v2)) false)) false)) (forall ((A__questionmark_v0 |tptp.'C_ell2_d_ell2_cblinfun_a_c_prod_ell2_b_d_prod_ell2_cblinfun_prod_bool_fun$'|) (A__questionmark_v1 |tptp.'C_ell2_d_ell2_cblinfun$'|) (A__questionmark_v2 |tptp.'A_c_prod_ell2_b_d_prod_ell2_cblinfun$'|)) (=> (and (|tptp.'fun_app$e'| (|tptp.'fun_app$ae'| (|tptp.'curry$b'| A__questionmark_v0) A__questionmark_v1) A__questionmark_v2) (=> (|tptp.'fun_app$z'| A__questionmark_v0 (|tptp.'pair$b'| A__questionmark_v1 A__questionmark_v2)) false)) false)) (forall ((A__questionmark_v0 |tptp.'C_ell2_d_ell2_cblinfun_c_ell2_d_ell2_cblinfun_prod_bool_fun$'|) (A__questionmark_v1 |tptp.'C_ell2_d_ell2_cblinfun$'|) (A__questionmark_v2 |tptp.'C_ell2_d_ell2_cblinfun$'|)) (=> (and (|tptp.'fun_app$g'| (|tptp.'fun_app$h'| (|tptp.'curry$c'| A__questionmark_v0) A__questionmark_v1) A__questionmark_v2) (=> (|tptp.'fun_app$aa'| A__questionmark_v0 (|tptp.'pair$a'| A__questionmark_v1 A__questionmark_v2)) false)) false)) (forall ((A__questionmark_v0 |tptp.'A_c_prod_a_c_prod_prod_bool_fun$'|) (A__questionmark_v1 |tptp.'A_c_prod$'|) (A__questionmark_v2 |tptp.'A_c_prod$'|)) (=> (and (|tptp.'fun_app$a'| (|tptp.'fun_app$af'| (|tptp.'curry$d'| A__questionmark_v0) A__questionmark_v1) A__questionmark_v2) (=> (|tptp.'fun_app$x'| A__questionmark_v0 (|tptp.'pair$k'| A__questionmark_v1 A__questionmark_v2)) false)) false)) (forall ((A__questionmark_v0 |tptp.'C_a_prod_bool_fun$'|) (A__questionmark_v1 |tptp.'C$'|) (A__questionmark_v2 |tptp.'A$'|)) (=> (and (|tptp.'fun_app$d'| (|tptp.'fun_app$ag'| (|tptp.'curry$e'| A__questionmark_v0) A__questionmark_v1) A__questionmark_v2) (=> (|tptp.'fun_app$'| A__questionmark_v0 (|tptp.'pair$l'| A__questionmark_v1 A__questionmark_v2)) false)) false)) (forall ((A__questionmark_v0 |tptp.'A_c_prod_bool_fun$'|) (A__questionmark_v1 |tptp.'A$'|) (A__questionmark_v2 |tptp.'C$'|)) (=> (and (|tptp.'fun_app$ab'| (|tptp.'fun_app$ac'| (|tptp.'curry$'| A__questionmark_v0) A__questionmark_v1) A__questionmark_v2) (=> (|tptp.'fun_app$a'| A__questionmark_v0 (|tptp.'fun_app$p'| (|tptp.'fun_app$q'| |tptp.'pair$'| A__questionmark_v1) A__questionmark_v2)) false)) false)) (forall ((A__questionmark_v0 |tptp.'A_c_prod_ell2_b_d_prod_ell2_cblinfun_c_ell2_d_ell2_cblinfun_prod_bool_fun$'|) (A__questionmark_v1 |tptp.'A_c_prod_ell2_b_d_prod_ell2_cblinfun$'|) (A__questionmark_v2 |tptp.'C_ell2_d_ell2_cblinfun$'|)) (=> (|tptp.'fun_app$g'| (|tptp.'fun_app$ad'| (|tptp.'curry$a'| A__questionmark_v0) A__questionmark_v1) A__questionmark_v2) (|tptp.'fun_app$y'| A__questionmark_v0 (|tptp.'pair$c'| A__questionmark_v1 A__questionmark_v2)))) (forall ((A__questionmark_v0 |tptp.'C_ell2_d_ell2_cblinfun_a_c_prod_ell2_b_d_prod_ell2_cblinfun_prod_bool_fun$'|) (A__questionmark_v1 |tptp.'C_ell2_d_ell2_cblinfun$'|) (A__questionmark_v2 |tptp.'A_c_prod_ell2_b_d_prod_ell2_cblinfun$'|)) (=> (|tptp.'fun_app$e'| (|tptp.'fun_app$ae'| (|tptp.'curry$b'| A__questionmark_v0) A__questionmark_v1) A__questionmark_v2) (|tptp.'fun_app$z'| A__questionmark_v0 (|tptp.'pair$b'| A__questionmark_v1 A__questionmark_v2)))) (forall ((A__questionmark_v0 |tptp.'C_ell2_d_ell2_cblinfun_c_ell2_d_ell2_cblinfun_prod_bool_fun$'|) (A__questionmark_v1 |tptp.'C_ell2_d_ell2_cblinfun$'|) (A__questionmark_v2 |tptp.'C_ell2_d_ell2_cblinfun$'|)) (=> (|tptp.'fun_app$g'| (|tptp.'fun_app$h'| (|tptp.'curry$c'| A__questionmark_v0) A__questionmark_v1) A__questionmark_v2) (|tptp.'fun_app$aa'| A__questionmark_v0 (|tptp.'pair$a'| A__questionmark_v1 A__questionmark_v2)))) (forall ((A__questionmark_v0 |tptp.'A_c_prod_a_c_prod_prod_bool_fun$'|) (A__questionmark_v1 |tptp.'A_c_prod$'|) (A__questionmark_v2 |tptp.'A_c_prod$'|)) (=> (|tptp.'fun_app$a'| (|tptp.'fun_app$af'| (|tptp.'curry$d'| A__questionmark_v0) A__questionmark_v1) A__questionmark_v2) (|tptp.'fun_app$x'| A__questionmark_v0 (|tptp.'pair$k'| A__questionmark_v1 A__questionmark_v2)))) (forall ((A__questionmark_v0 |tptp.'C_a_prod_bool_fun$'|) (A__questionmark_v1 |tptp.'C$'|) (A__questionmark_v2 |tptp.'A$'|)) (=> (|tptp.'fun_app$d'| (|tptp.'fun_app$ag'| (|tptp.'curry$e'| A__questionmark_v0) A__questionmark_v1) A__questionmark_v2) (|tptp.'fun_app$'| A__questionmark_v0 (|tptp.'pair$l'| A__questionmark_v1 A__questionmark_v2)))) (forall ((A__questionmark_v0 |tptp.'A_c_prod_bool_fun$'|) (A__questionmark_v1 |tptp.'A$'|) (A__questionmark_v2 |tptp.'C$'|)) (=> (|tptp.'fun_app$ab'| (|tptp.'fun_app$ac'| (|tptp.'curry$'| A__questionmark_v0) A__questionmark_v1) A__questionmark_v2) (|tptp.'fun_app$a'| A__questionmark_v0 (|tptp.'fun_app$p'| (|tptp.'fun_app$q'| |tptp.'pair$'| A__questionmark_v1) A__questionmark_v2)))) (forall ((A__questionmark_v0 |tptp.'C_ell2_d_ell2_cblinfun_set$'|) (A__questionmark_v1 |tptp.'C_ell2_d_ell2_cblinfun_c_ell2_d_ell2_cblinfun_fun$'|)) (= (|tptp.'cblinfun_extension_exists$'| A__questionmark_v0 A__questionmark_v1) (exists ((A__questionmark_v2 |tptp.'C_ell2_d_ell2_cblinfun_c_ell2_d_ell2_cblinfun_cblinfun$'|)) (forall ((A__questionmark_v3 |tptp.'C_ell2_d_ell2_cblinfun$'|)) (=> (|tptp.'member$i'| A__questionmark_v3 A__questionmark_v0) (= (|tptp.'fun_app$m'| (|tptp.'cblinfun_apply$r'| A__questionmark_v2) A__questionmark_v3) (|tptp.'fun_app$m'| A__questionmark_v1 A__questionmark_v3))))))) (forall ((A__questionmark_v0 |tptp.'A_c_prod_a_c_prod_prod_ell2_set$'|) (A__questionmark_v1 |tptp.'A_c_prod_a_c_prod_prod_ell2_b_d_prod_b_d_prod_prod_ell2_fun$'|)) (= (|tptp.'cblinfun_extension_exists$a'| A__questionmark_v0 A__questionmark_v1) (exists ((A__questionmark_v2 |tptp.'A_c_prod_a_c_prod_prod_ell2_b_d_prod_b_d_prod_prod_ell2_cblinfun$'|)) (forall ((A__questionmark_v3 |tptp.'A_c_prod_a_c_prod_prod_ell2$'|)) (=> (|tptp.'member$o'| A__questionmark_v3 A__questionmark_v0) (= (|tptp.'fun_app$v'| (|tptp.'cblinfun_apply$c'| A__questionmark_v2) A__questionmark_v3) (|tptp.'fun_app$v'| A__questionmark_v1 A__questionmark_v3))))))) (forall ((A__questionmark_v0 |tptp.'B_d_prod_ell2_set$'|) (A__questionmark_v1 |tptp.'B_d_prod_ell2_a_c_prod_ell2_fun$'|)) (= (|tptp.'cblinfun_extension_exists$b'| A__questionmark_v0 A__questionmark_v1) (exists ((A__questionmark_v2 |tptp.'B_d_prod_ell2_a_c_prod_ell2_cblinfun$'|)) (forall ((A__questionmark_v3 |tptp.'B_d_prod_ell2$'|)) (=> (|tptp.'member$b'| A__questionmark_v3 A__questionmark_v0) (= (|tptp.'fun_app$w'| (|tptp.'cblinfun_apply$s'| A__questionmark_v2) A__questionmark_v3) (|tptp.'fun_app$w'| A__questionmark_v1 A__questionmark_v3))))))) (forall ((A__questionmark_v0 |tptp.'C_ell2_set$'|) (A__questionmark_v1 |tptp.'C_ell2_d_ell2_fun$'|)) (= (|tptp.'cblinfun_extension_exists$c'| A__questionmark_v0 A__questionmark_v1) (exists ((A__questionmark_v2 |tptp.'C_ell2_d_ell2_cblinfun$'|)) (forall ((A__questionmark_v3 |tptp.'C_ell2$'|)) (=> (|tptp.'member$p'| A__questionmark_v3 A__questionmark_v0) (= (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| A__questionmark_v2) A__questionmark_v3) (|tptp.'fun_app$u'| A__questionmark_v1 A__questionmark_v3))))))) (forall ((A__questionmark_v0 |tptp.'A_ell2_set$'|) (A__questionmark_v1 |tptp.'A_ell2_b_ell2_fun$'|)) (= (|tptp.'cblinfun_extension_exists$d'| A__questionmark_v0 A__questionmark_v1) (exists ((A__questionmark_v2 |tptp.'A_ell2_b_ell2_cblinfun$'|)) (forall ((A__questionmark_v3 |tptp.'A_ell2$'|)) (=> (|tptp.'member$q'| A__questionmark_v3 A__questionmark_v0) (= (|tptp.'fun_app$t'| (|tptp.'cblinfun_apply$a'| A__questionmark_v2) A__questionmark_v3) (|tptp.'fun_app$t'| A__questionmark_v1 A__questionmark_v3))))))) (forall ((A__questionmark_v0 |tptp.'A_c_prod_ell2_set$'|) (A__questionmark_v1 |tptp.'A_c_prod_ell2_b_d_prod_ell2_fun$'|)) (= (|tptp.'cblinfun_extension_exists$e'| A__questionmark_v0 A__questionmark_v1) (exists ((A__questionmark_v2 |tptp.'A_c_prod_ell2_b_d_prod_ell2_cblinfun$'|)) (forall ((A__questionmark_v3 |tptp.'A_c_prod_ell2$'|)) (=> (|tptp.'member$c'| A__questionmark_v3 A__questionmark_v0) (= (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| A__questionmark_v2) A__questionmark_v3) (|tptp.'fun_app$k'| A__questionmark_v1 A__questionmark_v3))))))) (forall ((A__questionmark_v0 |tptp.'C_ell2_d_ell2_cblinfun_set$'|) (A__questionmark_v1 |tptp.'C_ell2_d_ell2_cblinfun_c_ell2_d_ell2_cblinfun_fun$'|) (A__questionmark_v2 |tptp.'C_ell2_d_ell2_cblinfun$'|)) (=> (and (|tptp.'cblinfun_extension_exists$'| A__questionmark_v0 A__questionmark_v1) (|tptp.'member$i'| A__questionmark_v2 A__questionmark_v0)) (= (|tptp.'fun_app$m'| (|tptp.'cblinfun_apply$r'| (|tptp.'cblinfun_extension$'| A__questionmark_v0 A__questionmark_v1)) A__questionmark_v2) (|tptp.'fun_app$m'| A__questionmark_v1 A__questionmark_v2)))) (forall ((A__questionmark_v0 |tptp.'A_c_prod_a_c_prod_prod_ell2_set$'|) (A__questionmark_v1 |tptp.'A_c_prod_a_c_prod_prod_ell2_b_d_prod_b_d_prod_prod_ell2_fun$'|) (A__questionmark_v2 |tptp.'A_c_prod_a_c_prod_prod_ell2$'|)) (=> (and (|tptp.'cblinfun_extension_exists$a'| A__questionmark_v0 A__questionmark_v1) (|tptp.'member$o'| A__questionmark_v2 A__questionmark_v0)) (= (|tptp.'fun_app$v'| (|tptp.'cblinfun_apply$c'| (|tptp.'cblinfun_extension$a'| A__questionmark_v0 A__questionmark_v1)) A__questionmark_v2) (|tptp.'fun_app$v'| A__questionmark_v1 A__questionmark_v2)))) (forall ((A__questionmark_v0 |tptp.'B_d_prod_ell2_set$'|) (A__questionmark_v1 |tptp.'B_d_prod_ell2_a_c_prod_ell2_fun$'|) (A__questionmark_v2 |tptp.'B_d_prod_ell2$'|)) (=> (and (|tptp.'cblinfun_extension_exists$b'| A__questionmark_v0 A__questionmark_v1) (|tptp.'member$b'| A__questionmark_v2 A__questionmark_v0)) (= (|tptp.'fun_app$w'| (|tptp.'cblinfun_apply$s'| (|tptp.'cblinfun_extension$b'| A__questionmark_v0 A__questionmark_v1)) A__questionmark_v2) (|tptp.'fun_app$w'| A__questionmark_v1 A__questionmark_v2)))) (forall ((A__questionmark_v0 |tptp.'C_ell2_set$'|) (A__questionmark_v1 |tptp.'C_ell2_d_ell2_fun$'|) (A__questionmark_v2 |tptp.'C_ell2$'|)) (=> (and (|tptp.'cblinfun_extension_exists$c'| A__questionmark_v0 A__questionmark_v1) (|tptp.'member$p'| A__questionmark_v2 A__questionmark_v0)) (= (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| (|tptp.'cblinfun_extension$c'| A__questionmark_v0 A__questionmark_v1)) A__questionmark_v2) (|tptp.'fun_app$u'| A__questionmark_v1 A__questionmark_v2)))) (forall ((A__questionmark_v0 |tptp.'A_ell2_set$'|) (A__questionmark_v1 |tptp.'A_ell2_b_ell2_fun$'|) (A__questionmark_v2 |tptp.'A_ell2$'|)) (=> (and (|tptp.'cblinfun_extension_exists$d'| A__questionmark_v0 A__questionmark_v1) (|tptp.'member$q'| A__questionmark_v2 A__questionmark_v0)) (= (|tptp.'fun_app$t'| (|tptp.'cblinfun_apply$a'| (|tptp.'cblinfun_extension$d'| A__questionmark_v0 A__questionmark_v1)) A__questionmark_v2) (|tptp.'fun_app$t'| A__questionmark_v1 A__questionmark_v2)))) (forall ((A__questionmark_v0 |tptp.'A_c_prod_ell2_set$'|) (A__questionmark_v1 |tptp.'A_c_prod_ell2_b_d_prod_ell2_fun$'|) (A__questionmark_v2 |tptp.'A_c_prod_ell2$'|)) (=> (and (|tptp.'cblinfun_extension_exists$e'| A__questionmark_v0 A__questionmark_v1) (|tptp.'member$c'| A__questionmark_v2 A__questionmark_v0)) (= (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| (|tptp.'cblinfun_extension$e'| A__questionmark_v0 A__questionmark_v1)) A__questionmark_v2) (|tptp.'fun_app$k'| A__questionmark_v1 A__questionmark_v2)))) (forall ((A__questionmark_v0 |tptp.'A_c_prod_a_c_prod_bool_fun_fun$'|) (A__questionmark_v1 |tptp.'A_c_prod$'|) (A__questionmark_v2 |tptp.'A_c_prod$'|) (A__questionmark_v3 |tptp.'A_c_prod_a_c_prod_prod$'|)) (=> (and (|tptp.'fun_app$a'| (|tptp.'fun_app$af'| A__questionmark_v0 A__questionmark_v1) A__questionmark_v2) (= A__questionmark_v3 (|tptp.'pair$k'| A__questionmark_v1 A__questionmark_v2))) (|tptp.'fun_app$a'| (|tptp.'fun_app$af'| A__questionmark_v0 (|tptp.'fst$c'| A__questionmark_v3)) (|tptp.'snd$c'| A__questionmark_v3)))) (forall ((A__questionmark_v0 |tptp.'A_c_prod_ell2_b_d_prod_ell2_cblinfun_c_ell2_d_ell2_cblinfun_bool_fun_fun$'|) (A__questionmark_v1 |tptp.'A_c_prod_ell2_b_d_prod_ell2_cblinfun$'|) (A__questionmark_v2 |tptp.'C_ell2_d_ell2_cblinfun$'|) (A__questionmark_v3 |tptp.'A_c_prod_ell2_b_d_prod_ell2_cblinfun_c_ell2_d_ell2_cblinfun_prod$'|)) (=> (and (|tptp.'fun_app$g'| (|tptp.'fun_app$ad'| A__questionmark_v0 A__questionmark_v1) A__questionmark_v2) (= A__questionmark_v3 (|tptp.'pair$c'| A__questionmark_v1 A__questionmark_v2))) (|tptp.'fun_app$g'| (|tptp.'fun_app$ad'| A__questionmark_v0 (|tptp.'fst$b'| A__questionmark_v3)) (|tptp.'snd$'| A__questionmark_v3)))) (forall ((A__questionmark_v0 |tptp.'C_ell2_d_ell2_cblinfun_a_c_prod_ell2_b_d_prod_ell2_cblinfun_bool_fun_fun$'|) (A__questionmark_v1 |tptp.'C_ell2_d_ell2_cblinfun$'|) (A__questionmark_v2 |tptp.'A_c_prod_ell2_b_d_prod_ell2_cblinfun$'|) (A__questionmark_v3 |tptp.'C_ell2_d_ell2_cblinfun_a_c_prod_ell2_b_d_prod_ell2_cblinfun_prod$'|)) (=> (and (|tptp.'fun_app$e'| (|tptp.'fun_app$ae'| A__questionmark_v0 A__questionmark_v1) A__questionmark_v2) (= A__questionmark_v3 (|tptp.'pair$b'| A__questionmark_v1 A__questionmark_v2))) (|tptp.'fun_app$e'| (|tptp.'fun_app$ae'| A__questionmark_v0 (|tptp.'fst$'| A__questionmark_v3)) (|tptp.'snd$b'| A__questionmark_v3)))) (forall ((A__questionmark_v0 |tptp.'C_ell2_d_ell2_cblinfun_c_ell2_d_ell2_cblinfun_bool_fun_fun$'|) (A__questionmark_v1 |tptp.'C_ell2_d_ell2_cblinfun$'|) (A__questionmark_v2 |tptp.'C_ell2_d_ell2_cblinfun$'|) (A__questionmark_v3 |tptp.'C_ell2_d_ell2_cblinfun_c_ell2_d_ell2_cblinfun_prod$'|)) (=> (and (|tptp.'fun_app$g'| (|tptp.'fun_app$h'| A__questionmark_v0 A__questionmark_v1) A__questionmark_v2) (= A__questionmark_v3 (|tptp.'pair$a'| A__questionmark_v1 A__questionmark_v2))) (|tptp.'fun_app$g'| (|tptp.'fun_app$h'| A__questionmark_v0 (|tptp.'fst$a'| A__questionmark_v3)) (|tptp.'snd$a'| A__questionmark_v3)))) (forall ((A__questionmark_v0 |tptp.'C_a_bool_fun_fun$'|) (A__questionmark_v1 |tptp.'C$'|) (A__questionmark_v2 |tptp.'A$'|) (A__questionmark_v3 |tptp.'C_a_prod$'|)) (=> (and (|tptp.'fun_app$d'| (|tptp.'fun_app$ag'| A__questionmark_v0 A__questionmark_v1) A__questionmark_v2) (= A__questionmark_v3 (|tptp.'pair$l'| A__questionmark_v1 A__questionmark_v2))) (|tptp.'fun_app$d'| (|tptp.'fun_app$ag'| A__questionmark_v0 (|tptp.'fst$d'| A__questionmark_v3)) (|tptp.'snd$d'| A__questionmark_v3)))) (forall ((A__questionmark_v0 |tptp.'A_c_bool_fun_fun$'|) (A__questionmark_v1 |tptp.'A$'|) (A__questionmark_v2 |tptp.'C$'|) (A__questionmark_v3 |tptp.'A_c_prod$'|)) (=> (and (|tptp.'fun_app$ab'| (|tptp.'fun_app$ac'| A__questionmark_v0 A__questionmark_v1) A__questionmark_v2) (= A__questionmark_v3 (|tptp.'fun_app$p'| (|tptp.'fun_app$q'| |tptp.'pair$'| A__questionmark_v1) A__questionmark_v2))) (|tptp.'fun_app$ab'| (|tptp.'fun_app$ac'| A__questionmark_v0 (|tptp.'fst$e'| A__questionmark_v3)) (|tptp.'snd$e'| A__questionmark_v3)))) (forall ((A__questionmark_v0 |tptp.'A_c_prod_a_c_prod_prod$'|) (A__questionmark_v1 |tptp.'A_c_prod$'|) (A__questionmark_v2 |tptp.'A_c_prod$'|)) (=> (= A__questionmark_v0 (|tptp.'pair$k'| A__questionmark_v1 A__questionmark_v2)) (= (|tptp.'snd$c'| A__questionmark_v0) A__questionmark_v2))) (forall ((A__questionmark_v0 |tptp.'A_c_prod_ell2_b_d_prod_ell2_cblinfun_c_ell2_d_ell2_cblinfun_prod$'|) (A__questionmark_v1 |tptp.'A_c_prod_ell2_b_d_prod_ell2_cblinfun$'|) (A__questionmark_v2 |tptp.'C_ell2_d_ell2_cblinfun$'|)) (=> (= A__questionmark_v0 (|tptp.'pair$c'| A__questionmark_v1 A__questionmark_v2)) (= (|tptp.'snd$'| A__questionmark_v0) A__questionmark_v2))) (forall ((A__questionmark_v0 |tptp.'C_ell2_d_ell2_cblinfun_a_c_prod_ell2_b_d_prod_ell2_cblinfun_prod$'|) (A__questionmark_v1 |tptp.'C_ell2_d_ell2_cblinfun$'|) (A__questionmark_v2 |tptp.'A_c_prod_ell2_b_d_prod_ell2_cblinfun$'|)) (=> (= A__questionmark_v0 (|tptp.'pair$b'| A__questionmark_v1 A__questionmark_v2)) (= (|tptp.'snd$b'| A__questionmark_v0) A__questionmark_v2))) (forall ((A__questionmark_v0 |tptp.'C_ell2_d_ell2_cblinfun_c_ell2_d_ell2_cblinfun_prod$'|) (A__questionmark_v1 |tptp.'C_ell2_d_ell2_cblinfun$'|) (A__questionmark_v2 |tptp.'C_ell2_d_ell2_cblinfun$'|)) (=> (= A__questionmark_v0 (|tptp.'pair$a'| A__questionmark_v1 A__questionmark_v2)) (= (|tptp.'snd$a'| A__questionmark_v0) A__questionmark_v2))) (forall ((A__questionmark_v0 |tptp.'C_a_prod$'|) (A__questionmark_v1 |tptp.'C$'|) (A__questionmark_v2 |tptp.'A$'|)) (=> (= A__questionmark_v0 (|tptp.'pair$l'| A__questionmark_v1 A__questionmark_v2)) (= (|tptp.'snd$d'| A__questionmark_v0) A__questionmark_v2))) (forall ((A__questionmark_v0 |tptp.'A_c_prod$'|) (A__questionmark_v1 |tptp.'A$'|) (A__questionmark_v2 |tptp.'C$'|)) (=> (= A__questionmark_v0 (|tptp.'fun_app$p'| (|tptp.'fun_app$q'| |tptp.'pair$'| A__questionmark_v1) A__questionmark_v2)) (= (|tptp.'snd$e'| A__questionmark_v0) A__questionmark_v2))) (forall ((A__questionmark_v0 |tptp.'A_c_prod$'|) (A__questionmark_v1 |tptp.'A_c_prod_a_c_prod_prod$'|)) (= (= A__questionmark_v0 (|tptp.'snd$c'| A__questionmark_v1)) (exists ((A__questionmark_v2 |tptp.'A_c_prod$'|)) (= A__questionmark_v1 (|tptp.'pair$k'| A__questionmark_v2 A__questionmark_v0))))) (forall ((A__questionmark_v0 |tptp.'C_ell2_d_ell2_cblinfun$'|) (A__questionmark_v1 |tptp.'A_c_prod_ell2_b_d_prod_ell2_cblinfun_c_ell2_d_ell2_cblinfun_prod$'|)) (= (= A__questionmark_v0 (|tptp.'snd$'| A__questionmark_v1)) (exists ((A__questionmark_v2 |tptp.'A_c_prod_ell2_b_d_prod_ell2_cblinfun$'|)) (= A__questionmark_v1 (|tptp.'pair$c'| A__questionmark_v2 A__questionmark_v0))))) (forall ((A__questionmark_v0 |tptp.'A_c_prod_ell2_b_d_prod_ell2_cblinfun$'|) (A__questionmark_v1 |tptp.'C_ell2_d_ell2_cblinfun_a_c_prod_ell2_b_d_prod_ell2_cblinfun_prod$'|)) (= (= A__questionmark_v0 (|tptp.'snd$b'| A__questionmark_v1)) (exists ((A__questionmark_v2 |tptp.'C_ell2_d_ell2_cblinfun$'|)) (= A__questionmark_v1 (|tptp.'pair$b'| A__questionmark_v2 A__questionmark_v0))))) (forall ((A__questionmark_v0 |tptp.'C_ell2_d_ell2_cblinfun$'|) (A__questionmark_v1 |tptp.'C_ell2_d_ell2_cblinfun_c_ell2_d_ell2_cblinfun_prod$'|)) (= (= A__questionmark_v0 (|tptp.'snd$a'| A__questionmark_v1)) (exists ((A__questionmark_v2 |tptp.'C_ell2_d_ell2_cblinfun$'|)) (= A__questionmark_v1 (|tptp.'pair$a'| A__questionmark_v2 A__questionmark_v0))))) (forall ((A__questionmark_v0 |tptp.'A$'|) (A__questionmark_v1 |tptp.'C_a_prod$'|)) (= (= A__questionmark_v0 (|tptp.'snd$d'| A__questionmark_v1)) (exists ((A__questionmark_v2 |tptp.'C$'|)) (= A__questionmark_v1 (|tptp.'pair$l'| A__questionmark_v2 A__questionmark_v0))))) (forall ((A__questionmark_v0 |tptp.'C$'|) (A__questionmark_v1 |tptp.'A_c_prod$'|)) (= (= A__questionmark_v0 (|tptp.'snd$e'| A__questionmark_v1)) (exists ((A__questionmark_v2 |tptp.'A$'|)) (= A__questionmark_v1 (|tptp.'fun_app$p'| (|tptp.'fun_app$q'| |tptp.'pair$'| A__questionmark_v2) A__questionmark_v0))))) (forall ((A__questionmark_v0 |tptp.'A_c_prod_a_c_prod_prod$'|) (A__questionmark_v1 |tptp.'A_c_prod$'|) (A__questionmark_v2 |tptp.'A_c_prod$'|)) (=> (= A__questionmark_v0 (|tptp.'pair$k'| A__questionmark_v1 A__questionmark_v2)) (= (|tptp.'fst$c'| A__questionmark_v0) A__questionmark_v1))) (forall ((A__questionmark_v0 |tptp.'A_c_prod_ell2_b_d_prod_ell2_cblinfun_c_ell2_d_ell2_cblinfun_prod$'|) (A__questionmark_v1 |tptp.'A_c_prod_ell2_b_d_prod_ell2_cblinfun$'|) (A__questionmark_v2 |tptp.'C_ell2_d_ell2_cblinfun$'|)) (=> (= A__questionmark_v0 (|tptp.'pair$c'| A__questionmark_v1 A__questionmark_v2)) (= (|tptp.'fst$b'| A__questionmark_v0) A__questionmark_v1))) (forall ((A__questionmark_v0 |tptp.'C_ell2_d_ell2_cblinfun_a_c_prod_ell2_b_d_prod_ell2_cblinfun_prod$'|) (A__questionmark_v1 |tptp.'C_ell2_d_ell2_cblinfun$'|) (A__questionmark_v2 |tptp.'A_c_prod_ell2_b_d_prod_ell2_cblinfun$'|)) (=> (= A__questionmark_v0 (|tptp.'pair$b'| A__questionmark_v1 A__questionmark_v2)) (= (|tptp.'fst$'| A__questionmark_v0) A__questionmark_v1))) (forall ((A__questionmark_v0 |tptp.'C_ell2_d_ell2_cblinfun_c_ell2_d_ell2_cblinfun_prod$'|) (A__questionmark_v1 |tptp.'C_ell2_d_ell2_cblinfun$'|) (A__questionmark_v2 |tptp.'C_ell2_d_ell2_cblinfun$'|)) (=> (= A__questionmark_v0 (|tptp.'pair$a'| A__questionmark_v1 A__questionmark_v2)) (= (|tptp.'fst$a'| A__questionmark_v0) A__questionmark_v1))) (forall ((A__questionmark_v0 |tptp.'C_a_prod$'|) (A__questionmark_v1 |tptp.'C$'|) (A__questionmark_v2 |tptp.'A$'|)) (=> (= A__questionmark_v0 (|tptp.'pair$l'| A__questionmark_v1 A__questionmark_v2)) (= (|tptp.'fst$d'| A__questionmark_v0) A__questionmark_v1))) (forall ((A__questionmark_v0 |tptp.'A_c_prod$'|) (A__questionmark_v1 |tptp.'A$'|) (A__questionmark_v2 |tptp.'C$'|)) (=> (= A__questionmark_v0 (|tptp.'fun_app$p'| (|tptp.'fun_app$q'| |tptp.'pair$'| A__questionmark_v1) A__questionmark_v2)) (= (|tptp.'fst$e'| A__questionmark_v0) A__questionmark_v1))) (forall ((A__questionmark_v0 |tptp.'A_c_prod$'|) (A__questionmark_v1 |tptp.'A_c_prod_a_c_prod_prod$'|)) (= (= A__questionmark_v0 (|tptp.'fst$c'| A__questionmark_v1)) (exists ((A__questionmark_v2 |tptp.'A_c_prod$'|)) (= A__questionmark_v1 (|tptp.'pair$k'| A__questionmark_v0 A__questionmark_v2))))) (forall ((A__questionmark_v0 |tptp.'A_c_prod_ell2_b_d_prod_ell2_cblinfun$'|) (A__questionmark_v1 |tptp.'A_c_prod_ell2_b_d_prod_ell2_cblinfun_c_ell2_d_ell2_cblinfun_prod$'|)) (= (= A__questionmark_v0 (|tptp.'fst$b'| A__questionmark_v1)) (exists ((A__questionmark_v2 |tptp.'C_ell2_d_ell2_cblinfun$'|)) (= A__questionmark_v1 (|tptp.'pair$c'| A__questionmark_v0 A__questionmark_v2))))) (forall ((A__questionmark_v0 |tptp.'C_ell2_d_ell2_cblinfun$'|) (A__questionmark_v1 |tptp.'C_ell2_d_ell2_cblinfun_a_c_prod_ell2_b_d_prod_ell2_cblinfun_prod$'|)) (= (= A__questionmark_v0 (|tptp.'fst$'| A__questionmark_v1)) (exists ((A__questionmark_v2 |tptp.'A_c_prod_ell2_b_d_prod_ell2_cblinfun$'|)) (= A__questionmark_v1 (|tptp.'pair$b'| A__questionmark_v0 A__questionmark_v2))))) (forall ((A__questionmark_v0 |tptp.'C_ell2_d_ell2_cblinfun$'|) (A__questionmark_v1 |tptp.'C_ell2_d_ell2_cblinfun_c_ell2_d_ell2_cblinfun_prod$'|)) (= (= A__questionmark_v0 (|tptp.'fst$a'| A__questionmark_v1)) (exists ((A__questionmark_v2 |tptp.'C_ell2_d_ell2_cblinfun$'|)) (= A__questionmark_v1 (|tptp.'pair$a'| A__questionmark_v0 A__questionmark_v2))))) (forall ((A__questionmark_v0 |tptp.'C$'|) (A__questionmark_v1 |tptp.'C_a_prod$'|)) (= (= A__questionmark_v0 (|tptp.'fst$d'| A__questionmark_v1)) (exists ((A__questionmark_v2 |tptp.'A$'|)) (= A__questionmark_v1 (|tptp.'pair$l'| A__questionmark_v0 A__questionmark_v2))))) (forall ((A__questionmark_v0 |tptp.'A$'|) (A__questionmark_v1 |tptp.'A_c_prod$'|)) (= (= A__questionmark_v0 (|tptp.'fst$e'| A__questionmark_v1)) (exists ((A__questionmark_v2 |tptp.'C$'|)) (= A__questionmark_v1 (|tptp.'fun_app$p'| (|tptp.'fun_app$q'| |tptp.'pair$'| A__questionmark_v0) A__questionmark_v2))))) (forall ((A__questionmark_v0 |tptp.'A_c_prod_a_c_prod_prod$'|)) (= (|tptp.'swap$'| A__questionmark_v0) (|tptp.'pair$k'| (|tptp.'snd$c'| A__questionmark_v0) (|tptp.'fst$c'| A__questionmark_v0)))) (forall ((A__questionmark_v0 |tptp.'A_c_prod_ell2_b_d_prod_ell2_cblinfun_c_ell2_d_ell2_cblinfun_prod$'|)) (= (|tptp.'swap$a'| A__questionmark_v0) (|tptp.'pair$b'| (|tptp.'snd$'| A__questionmark_v0) (|tptp.'fst$b'| A__questionmark_v0)))) (forall ((A__questionmark_v0 |tptp.'C_ell2_d_ell2_cblinfun_a_c_prod_ell2_b_d_prod_ell2_cblinfun_prod$'|)) (= (|tptp.'swap$b'| A__questionmark_v0) (|tptp.'pair$c'| (|tptp.'snd$b'| A__questionmark_v0) (|tptp.'fst$'| A__questionmark_v0)))) (forall ((A__questionmark_v0 |tptp.'C_ell2_d_ell2_cblinfun_c_ell2_d_ell2_cblinfun_prod$'|)) (= (|tptp.'swap$c'| A__questionmark_v0) (|tptp.'pair$a'| (|tptp.'snd$a'| A__questionmark_v0) (|tptp.'fst$a'| A__questionmark_v0)))) (forall ((A__questionmark_v0 |tptp.'A_c_prod$'|)) (= (|tptp.'fun_app$ah'| |tptp.'swap$d'| A__questionmark_v0) (|tptp.'pair$l'| (|tptp.'snd$e'| A__questionmark_v0) (|tptp.'fst$e'| A__questionmark_v0)))) (forall ((A__questionmark_v0 |tptp.'C_a_prod$'|)) (= (|tptp.'fun_app$ai'| |tptp.'swap$e'| A__questionmark_v0) (|tptp.'fun_app$p'| (|tptp.'fun_app$q'| |tptp.'pair$'| (|tptp.'snd$d'| A__questionmark_v0)) (|tptp.'fst$d'| A__questionmark_v0)))) (forall ((A__questionmark_v0 |tptp.'A_c_prod_ell2_b_d_prod_ell2_cblinfun_c_ell2_d_ell2_cblinfun_prod$'|)) (= (|tptp.'fst$'| (|tptp.'swap$a'| A__questionmark_v0)) (|tptp.'snd$'| A__questionmark_v0))) (forall ((A__questionmark_v0 |tptp.'C_ell2_d_ell2_cblinfun_a_c_prod_ell2_b_d_prod_ell2_cblinfun_prod$'|)) (= (|tptp.'fst$b'| (|tptp.'swap$b'| A__questionmark_v0)) (|tptp.'snd$b'| A__questionmark_v0))) (forall ((A__questionmark_v0 |tptp.'C_ell2_d_ell2_cblinfun_c_ell2_d_ell2_cblinfun_prod$'|)) (= (|tptp.'fst$a'| (|tptp.'swap$c'| A__questionmark_v0)) (|tptp.'snd$a'| A__questionmark_v0))) (forall ((A__questionmark_v0 |tptp.'C_a_prod$'|)) (= (|tptp.'fst$e'| (|tptp.'fun_app$ai'| |tptp.'swap$e'| A__questionmark_v0)) (|tptp.'snd$d'| A__questionmark_v0))) (forall ((A__questionmark_v0 |tptp.'A_c_prod$'|)) (= (|tptp.'fst$d'| (|tptp.'fun_app$ah'| |tptp.'swap$d'| A__questionmark_v0)) (|tptp.'snd$e'| A__questionmark_v0))) (forall ((A__questionmark_v0 |tptp.'C_ell2_d_ell2_cblinfun$'|) (A__questionmark_v1 |tptp.'C_ell2_d_ell2_cblinfun_set$'|) (A__questionmark_v2 |tptp.'C_ell2_d_ell2_cblinfun$'|) (A__questionmark_v3 |tptp.'C_ell2_d_ell2_cblinfun_set$'|)) (= (|tptp.'plus$ab'| (|tptp.'elt_set_plus$'| A__questionmark_v0 A__questionmark_v1) (|tptp.'elt_set_plus$'| A__questionmark_v2 A__questionmark_v3)) (|tptp.'elt_set_plus$'| (|tptp.'fun_app$m'| (|tptp.'fun_app$n'| |tptp.'plus$a'| A__questionmark_v0) A__questionmark_v2) (|tptp.'plus$ab'| A__questionmark_v1 A__questionmark_v3)))) (forall ((A__questionmark_v0 |tptp.'A_c_prod_ell2_b_d_prod_ell2_cblinfun$'|) (A__questionmark_v1 |tptp.'A_c_prod_ell2_b_d_prod_ell2_cblinfun_set$'|) (A__questionmark_v2 |tptp.'A_c_prod_ell2_b_d_prod_ell2_cblinfun$'|) (A__questionmark_v3 |tptp.'A_c_prod_ell2_b_d_prod_ell2_cblinfun_set$'|)) (= (|tptp.'plus$z'| (|tptp.'elt_set_plus$a'| A__questionmark_v0 A__questionmark_v1) (|tptp.'elt_set_plus$a'| A__questionmark_v2 A__questionmark_v3)) (|tptp.'elt_set_plus$a'| (|tptp.'fun_app$r'| (|tptp.'fun_app$s'| |tptp.'plus$b'| A__questionmark_v0) A__questionmark_v2) (|tptp.'plus$z'| A__questionmark_v1 A__questionmark_v3)))) (forall ((A__questionmark_v0 |tptp.'A_c_prod_ell2$'|) (A__questionmark_v1 |tptp.'A_c_prod_ell2_b_d_prod_ell2_cblinfun$'|)) (= (|tptp.'cblinfun_apply$al'| (|tptp.'prod_left$'| |tptp.'cblinfun_apply$'| A__questionmark_v0) A__questionmark_v1) (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| A__questionmark_v1) A__questionmark_v0))) (forall ((A__questionmark_v0 |tptp.'C_ell2_d_ell2_cblinfun$'|) (A__questionmark_v1 |tptp.'C_ell2_d_ell2_cblinfun_set$'|) (A__questionmark_v2 |tptp.'C_ell2_d_ell2_cblinfun$'|)) (=> (|tptp.'member$i'| A__questionmark_v0 A__questionmark_v1) (|tptp.'member$i'| (|tptp.'fun_app$m'| (|tptp.'fun_app$n'| |tptp.'plus$a'| A__questionmark_v2) A__questionmark_v0) (|tptp.'elt_set_plus$'| A__questionmark_v2 A__questionmark_v1)))) (forall ((A__questionmark_v0 |tptp.'A_c_prod_ell2_b_d_prod_ell2_cblinfun$'|) (A__questionmark_v1 |tptp.'A_c_prod_ell2_b_d_prod_ell2_cblinfun_set$'|) (A__questionmark_v2 |tptp.'A_c_prod_ell2_b_d_prod_ell2_cblinfun$'|)) (=> (|tptp.'member$j'| A__questionmark_v0 A__questionmark_v1) (|tptp.'member$j'| (|tptp.'fun_app$r'| (|tptp.'fun_app$s'| |tptp.'plus$b'| A__questionmark_v2) A__questionmark_v0) (|tptp.'elt_set_plus$a'| A__questionmark_v2 A__questionmark_v1)))) (forall ((A__questionmark_v0 |tptp.'C$'|) (A__questionmark_v1 |tptp.'A$'|)) (= (|tptp.'fun_app$ai'| |tptp.'swap$e'| (|tptp.'pair$l'| A__questionmark_v0 A__questionmark_v1)) (|tptp.'fun_app$p'| (|tptp.'fun_app$q'| |tptp.'pair$'| A__questionmark_v1) A__questionmark_v0))) (forall ((A__questionmark_v0 |tptp.'A$'|) (A__questionmark_v1 |tptp.'C$'|)) (= (|tptp.'fun_app$ah'| |tptp.'swap$d'| (|tptp.'fun_app$p'| (|tptp.'fun_app$q'| |tptp.'pair$'| A__questionmark_v0) A__questionmark_v1)) (|tptp.'pair$l'| A__questionmark_v1 A__questionmark_v0))) (forall ((A__questionmark_v0 |tptp.'C_ell2_d_ell2_cblinfun$'|) (A__questionmark_v1 |tptp.'C_ell2_d_ell2_cblinfun$'|) (A__questionmark_v2 |tptp.'C_ell2_d_ell2_cblinfun_set$'|)) (= (|tptp.'elt_set_plus$'| A__questionmark_v0 (|tptp.'elt_set_plus$'| A__questionmark_v1 A__questionmark_v2)) (|tptp.'elt_set_plus$'| (|tptp.'fun_app$m'| (|tptp.'fun_app$n'| |tptp.'plus$a'| A__questionmark_v0) A__questionmark_v1) A__questionmark_v2))) (forall ((A__questionmark_v0 |tptp.'A_c_prod_ell2_b_d_prod_ell2_cblinfun$'|) (A__questionmark_v1 |tptp.'A_c_prod_ell2_b_d_prod_ell2_cblinfun$'|) (A__questionmark_v2 |tptp.'A_c_prod_ell2_b_d_prod_ell2_cblinfun_set$'|)) (= (|tptp.'elt_set_plus$a'| A__questionmark_v0 (|tptp.'elt_set_plus$a'| A__questionmark_v1 A__questionmark_v2)) (|tptp.'elt_set_plus$a'| (|tptp.'fun_app$r'| (|tptp.'fun_app$s'| |tptp.'plus$b'| A__questionmark_v0) A__questionmark_v1) A__questionmark_v2))) (forall ((A__questionmark_v0 |tptp.'C$'|) (A__questionmark_v1 |tptp.'A$'|) (A__questionmark_v2 |tptp.'A_c_prod_set$'|)) (= (|tptp.'member$'| (|tptp.'pair$l'| A__questionmark_v0 A__questionmark_v1) (|tptp.'image$'| |tptp.'swap$d'| A__questionmark_v2)) (|tptp.'member$a'| (|tptp.'fun_app$p'| (|tptp.'fun_app$q'| |tptp.'pair$'| A__questionmark_v1) A__questionmark_v0) A__questionmark_v2))) (forall ((A__questionmark_v0 |tptp.'A$'|) (A__questionmark_v1 |tptp.'C$'|) (A__questionmark_v2 |tptp.'C_a_prod_set$'|)) (= (|tptp.'member$a'| (|tptp.'fun_app$p'| (|tptp.'fun_app$q'| |tptp.'pair$'| A__questionmark_v0) A__questionmark_v1) (|tptp.'image$a'| |tptp.'swap$e'| A__questionmark_v2)) (|tptp.'member$'| (|tptp.'pair$l'| A__questionmark_v1 A__questionmark_v0) A__questionmark_v2))) (forall ((A__questionmark_v0 |tptp.'A_c_prod_ell2_b_d_prod_ell2_cblinfun$'|) (A__questionmark_v1 |tptp.'A_c_prod_ell2$'|)) (= (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| (|tptp.'prod_right$'| |tptp.'cblinfun_apply$'| A__questionmark_v0)) A__questionmark_v1) (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| A__questionmark_v0) A__questionmark_v1))) (forall ((A__questionmark_v0 |tptp.'C_ell2_d_ell2_cblinfun$'|) (A__questionmark_v1 |tptp.'C_ell2_d_ell2_cblinfun$'|) (A__questionmark_v2 |tptp.'C_ell2_d_ell2_cblinfun$'|)) (let ((_let_1 (|tptp.'fun_app$n'| |tptp.'plus$a'| A__questionmark_v0))) (= (|tptp.'fun_app$g'| (|tptp.'fun_app$h'| |tptp.'less_eq$'| (|tptp.'fun_app$m'| _let_1 A__questionmark_v1)) (|tptp.'fun_app$m'| _let_1 A__questionmark_v2)) (|tptp.'fun_app$g'| (|tptp.'fun_app$h'| |tptp.'less_eq$'| A__questionmark_v1) A__questionmark_v2)))) (forall ((A__questionmark_v0 |tptp.'A_c_prod_ell2_b_d_prod_ell2_cblinfun$'|) (A__questionmark_v1 |tptp.'A_c_prod_ell2_b_d_prod_ell2_cblinfun$'|) (A__questionmark_v2 |tptp.'A_c_prod_ell2_b_d_prod_ell2_cblinfun$'|)) (let ((_let_1 (|tptp.'fun_app$s'| |tptp.'plus$b'| A__questionmark_v0))) (= (|tptp.'fun_app$e'| (|tptp.'less_eq$a'| (|tptp.'fun_app$r'| _let_1 A__questionmark_v1)) (|tptp.'fun_app$r'| _let_1 A__questionmark_v2)) (|tptp.'fun_app$e'| (|tptp.'less_eq$a'| A__questionmark_v1) A__questionmark_v2)))) (forall ((A__questionmark_v0 |tptp.'C_ell2_d_ell2_cblinfun$'|) (A__questionmark_v1 |tptp.'C_ell2_d_ell2_cblinfun$'|) (A__questionmark_v2 |tptp.'C_ell2_d_ell2_cblinfun$'|)) (= (|tptp.'fun_app$g'| (|tptp.'fun_app$h'| |tptp.'less_eq$'| (|tptp.'fun_app$m'| (|tptp.'fun_app$n'| |tptp.'plus$a'| A__questionmark_v0) A__questionmark_v1)) (|tptp.'fun_app$m'| (|tptp.'fun_app$n'| |tptp.'plus$a'| A__questionmark_v2) A__questionmark_v1)) (|tptp.'fun_app$g'| (|tptp.'fun_app$h'| |tptp.'less_eq$'| A__questionmark_v0) A__questionmark_v2))) (forall ((A__questionmark_v0 |tptp.'A_c_prod_ell2_b_d_prod_ell2_cblinfun$'|) (A__questionmark_v1 |tptp.'A_c_prod_ell2_b_d_prod_ell2_cblinfun$'|) (A__questionmark_v2 |tptp.'A_c_prod_ell2_b_d_prod_ell2_cblinfun$'|)) (= (|tptp.'fun_app$e'| (|tptp.'less_eq$a'| (|tptp.'fun_app$r'| (|tptp.'fun_app$s'| |tptp.'plus$b'| A__questionmark_v0) A__questionmark_v1)) (|tptp.'fun_app$r'| (|tptp.'fun_app$s'| |tptp.'plus$b'| A__questionmark_v2) A__questionmark_v1)) (|tptp.'fun_app$e'| (|tptp.'less_eq$a'| A__questionmark_v0) A__questionmark_v2))) (forall ((A__questionmark_v0 |tptp.'C_ell2_d_ell2_cblinfun$'|) (A__questionmark_v1 |tptp.'C_ell2_d_ell2_cblinfun$'|) (A__questionmark_v2 |tptp.'C_ell2_d_ell2_cblinfun$'|) (A__questionmark_v3 |tptp.'C_ell2_d_ell2_cblinfun$'|)) (=> (and (|tptp.'fun_app$g'| (|tptp.'fun_app$h'| |tptp.'less_eq$'| A__questionmark_v0) A__questionmark_v1) (= A__questionmark_v2 A__questionmark_v3)) (|tptp.'fun_app$g'| (|tptp.'fun_app$h'| |tptp.'less_eq$'| (|tptp.'fun_app$m'| (|tptp.'fun_app$n'| |tptp.'plus$a'| A__questionmark_v0) A__questionmark_v2)) (|tptp.'fun_app$m'| (|tptp.'fun_app$n'| |tptp.'plus$a'| A__questionmark_v1) A__questionmark_v3)))) (forall ((A__questionmark_v0 |tptp.'A_c_prod_ell2_b_d_prod_ell2_cblinfun$'|) (A__questionmark_v1 |tptp.'A_c_prod_ell2_b_d_prod_ell2_cblinfun$'|) (A__questionmark_v2 |tptp.'A_c_prod_ell2_b_d_prod_ell2_cblinfun$'|) (A__questionmark_v3 |tptp.'A_c_prod_ell2_b_d_prod_ell2_cblinfun$'|)) (=> (and (|tptp.'fun_app$e'| (|tptp.'less_eq$a'| A__questionmark_v0) A__questionmark_v1) (= A__questionmark_v2 A__questionmark_v3)) (|tptp.'fun_app$e'| (|tptp.'less_eq$a'| (|tptp.'fun_app$r'| (|tptp.'fun_app$s'| |tptp.'plus$b'| A__questionmark_v0) A__questionmark_v2)) (|tptp.'fun_app$r'| (|tptp.'fun_app$s'| |tptp.'plus$b'| A__questionmark_v1) A__questionmark_v3)))) (forall ((A__questionmark_v0 |tptp.'C_ell2_d_ell2_cblinfun$'|) (A__questionmark_v1 |tptp.'C_ell2_d_ell2_cblinfun$'|) (A__questionmark_v2 |tptp.'C_ell2_d_ell2_cblinfun$'|) (A__questionmark_v3 |tptp.'C_ell2_d_ell2_cblinfun$'|)) (=> (and (= A__questionmark_v0 A__questionmark_v1) (|tptp.'fun_app$g'| (|tptp.'fun_app$h'| |tptp.'less_eq$'| A__questionmark_v2) A__questionmark_v3)) (|tptp.'fun_app$g'| (|tptp.'fun_app$h'| |tptp.'less_eq$'| (|tptp.'fun_app$m'| (|tptp.'fun_app$n'| |tptp.'plus$a'| A__questionmark_v0) A__questionmark_v2)) (|tptp.'fun_app$m'| (|tptp.'fun_app$n'| |tptp.'plus$a'| A__questionmark_v1) A__questionmark_v3)))) (forall ((A__questionmark_v0 |tptp.'A_c_prod_ell2_b_d_prod_ell2_cblinfun$'|) (A__questionmark_v1 |tptp.'A_c_prod_ell2_b_d_prod_ell2_cblinfun$'|) (A__questionmark_v2 |tptp.'A_c_prod_ell2_b_d_prod_ell2_cblinfun$'|) (A__questionmark_v3 |tptp.'A_c_prod_ell2_b_d_prod_ell2_cblinfun$'|)) (=> (and (= A__questionmark_v0 A__questionmark_v1) (|tptp.'fun_app$e'| (|tptp.'less_eq$a'| A__questionmark_v2) A__questionmark_v3)) (|tptp.'fun_app$e'| (|tptp.'less_eq$a'| (|tptp.'fun_app$r'| (|tptp.'fun_app$s'| |tptp.'plus$b'| A__questionmark_v0) A__questionmark_v2)) (|tptp.'fun_app$r'| (|tptp.'fun_app$s'| |tptp.'plus$b'| A__questionmark_v1) A__questionmark_v3)))) (forall ((A__questionmark_v0 |tptp.'C_ell2_d_ell2_cblinfun$'|) (A__questionmark_v1 |tptp.'C_ell2_d_ell2_cblinfun$'|) (A__questionmark_v2 |tptp.'C_ell2_d_ell2_cblinfun$'|) (A__questionmark_v3 |tptp.'C_ell2_d_ell2_cblinfun$'|)) (=> (and (|tptp.'fun_app$g'| (|tptp.'fun_app$h'| |tptp.'less_eq$'| A__questionmark_v0) A__questionmark_v1) (|tptp.'fun_app$g'| (|tptp.'fun_app$h'| |tptp.'less_eq$'| A__questionmark_v2) A__questionmark_v3)) (|tptp.'fun_app$g'| (|tptp.'fun_app$h'| |tptp.'less_eq$'| (|tptp.'fun_app$m'| (|tptp.'fun_app$n'| |tptp.'plus$a'| A__questionmark_v0) A__questionmark_v2)) (|tptp.'fun_app$m'| (|tptp.'fun_app$n'| |tptp.'plus$a'| A__questionmark_v1) A__questionmark_v3)))) (forall ((A__questionmark_v0 |tptp.'A_c_prod_ell2_b_d_prod_ell2_cblinfun$'|) (A__questionmark_v1 |tptp.'A_c_prod_ell2_b_d_prod_ell2_cblinfun$'|) (A__questionmark_v2 |tptp.'A_c_prod_ell2_b_d_prod_ell2_cblinfun$'|) (A__questionmark_v3 |tptp.'A_c_prod_ell2_b_d_prod_ell2_cblinfun$'|)) (=> (and (|tptp.'fun_app$e'| (|tptp.'less_eq$a'| A__questionmark_v0) A__questionmark_v1) (|tptp.'fun_app$e'| (|tptp.'less_eq$a'| A__questionmark_v2) A__questionmark_v3)) (|tptp.'fun_app$e'| (|tptp.'less_eq$a'| (|tptp.'fun_app$r'| (|tptp.'fun_app$s'| |tptp.'plus$b'| A__questionmark_v0) A__questionmark_v2)) (|tptp.'fun_app$r'| (|tptp.'fun_app$s'| |tptp.'plus$b'| A__questionmark_v1) A__questionmark_v3)))) (forall ((A__questionmark_v0 |tptp.'C_ell2_d_ell2_cblinfun$'|) (A__questionmark_v1 |tptp.'C_ell2_d_ell2_cblinfun$'|) (A__questionmark_v2 |tptp.'C_ell2_d_ell2_cblinfun$'|) (A__questionmark_v3 |tptp.'C_ell2_d_ell2_cblinfun$'|)) (=> (and (|tptp.'fun_app$g'| (|tptp.'fun_app$h'| |tptp.'less_eq$'| A__questionmark_v0) A__questionmark_v1) (|tptp.'fun_app$g'| (|tptp.'fun_app$h'| |tptp.'less_eq$'| A__questionmark_v2) A__questionmark_v3)) (|tptp.'fun_app$g'| (|tptp.'fun_app$h'| |tptp.'less_eq$'| (|tptp.'fun_app$m'| (|tptp.'fun_app$n'| |tptp.'plus$a'| A__questionmark_v0) A__questionmark_v2)) (|tptp.'fun_app$m'| (|tptp.'fun_app$n'| |tptp.'plus$a'| A__questionmark_v1) A__questionmark_v3)))) (forall ((A__questionmark_v0 |tptp.'A_c_prod_ell2_b_d_prod_ell2_cblinfun$'|) (A__questionmark_v1 |tptp.'A_c_prod_ell2_b_d_prod_ell2_cblinfun$'|) (A__questionmark_v2 |tptp.'A_c_prod_ell2_b_d_prod_ell2_cblinfun$'|) (A__questionmark_v3 |tptp.'A_c_prod_ell2_b_d_prod_ell2_cblinfun$'|)) (=> (and (|tptp.'fun_app$e'| (|tptp.'less_eq$a'| A__questionmark_v0) A__questionmark_v1) (|tptp.'fun_app$e'| (|tptp.'less_eq$a'| A__questionmark_v2) A__questionmark_v3)) (|tptp.'fun_app$e'| (|tptp.'less_eq$a'| (|tptp.'fun_app$r'| (|tptp.'fun_app$s'| |tptp.'plus$b'| A__questionmark_v0) A__questionmark_v2)) (|tptp.'fun_app$r'| (|tptp.'fun_app$s'| |tptp.'plus$b'| A__questionmark_v1) A__questionmark_v3)))) (forall ((A__questionmark_v0 |tptp.'C_ell2_d_ell2_cblinfun$'|) (A__questionmark_v1 |tptp.'C_ell2_d_ell2_cblinfun$'|) (A__questionmark_v2 |tptp.'C_ell2_d_ell2_cblinfun$'|)) (let ((_let_1 (|tptp.'fun_app$n'| |tptp.'plus$a'| A__questionmark_v2))) (=> (|tptp.'fun_app$g'| (|tptp.'fun_app$h'| |tptp.'less_eq$'| A__questionmark_v0) A__questionmark_v1) (|tptp.'fun_app$g'| (|tptp.'fun_app$h'| |tptp.'less_eq$'| (|tptp.'fun_app$m'| _let_1 A__questionmark_v0)) (|tptp.'fun_app$m'| _let_1 A__questionmark_v1))))) (forall ((A__questionmark_v0 |tptp.'A_c_prod_ell2_b_d_prod_ell2_cblinfun$'|) (A__questionmark_v1 |tptp.'A_c_prod_ell2_b_d_prod_ell2_cblinfun$'|) (A__questionmark_v2 |tptp.'A_c_prod_ell2_b_d_prod_ell2_cblinfun$'|)) (let ((_let_1 (|tptp.'fun_app$s'| |tptp.'plus$b'| A__questionmark_v2))) (=> (|tptp.'fun_app$e'| (|tptp.'less_eq$a'| A__questionmark_v0) A__questionmark_v1) (|tptp.'fun_app$e'| (|tptp.'less_eq$a'| (|tptp.'fun_app$r'| _let_1 A__questionmark_v0)) (|tptp.'fun_app$r'| _let_1 A__questionmark_v1))))) (forall ((A__questionmark_v0 |tptp.'C_ell2_d_ell2_cblinfun$'|) (A__questionmark_v1 |tptp.'C_ell2_d_ell2_cblinfun$'|) (A__questionmark_v2 |tptp.'C_ell2_d_ell2_cblinfun$'|)) (=> (|tptp.'fun_app$g'| (|tptp.'fun_app$h'| |tptp.'less_eq$'| A__questionmark_v0) A__questionmark_v1) (|tptp.'fun_app$g'| (|tptp.'fun_app$h'| |tptp.'less_eq$'| (|tptp.'fun_app$m'| (|tptp.'fun_app$n'| |tptp.'plus$a'| A__questionmark_v0) A__questionmark_v2)) (|tptp.'fun_app$m'| (|tptp.'fun_app$n'| |tptp.'plus$a'| A__questionmark_v1) A__questionmark_v2)))) (forall ((A__questionmark_v0 |tptp.'A_c_prod_ell2_b_d_prod_ell2_cblinfun$'|) (A__questionmark_v1 |tptp.'A_c_prod_ell2_b_d_prod_ell2_cblinfun$'|) (A__questionmark_v2 |tptp.'A_c_prod_ell2_b_d_prod_ell2_cblinfun$'|)) (=> (|tptp.'fun_app$e'| (|tptp.'less_eq$a'| A__questionmark_v0) A__questionmark_v1) (|tptp.'fun_app$e'| (|tptp.'less_eq$a'| (|tptp.'fun_app$r'| (|tptp.'fun_app$s'| |tptp.'plus$b'| A__questionmark_v0) A__questionmark_v2)) (|tptp.'fun_app$r'| (|tptp.'fun_app$s'| |tptp.'plus$b'| A__questionmark_v1) A__questionmark_v2)))) (forall ((A__questionmark_v0 |tptp.'C_ell2_d_ell2_cblinfun$'|) (A__questionmark_v1 |tptp.'C_ell2_d_ell2_cblinfun$'|) (A__questionmark_v2 |tptp.'C_ell2_d_ell2_cblinfun$'|)) (let ((_let_1 (|tptp.'fun_app$n'| |tptp.'plus$a'| A__questionmark_v0))) (=> (|tptp.'fun_app$g'| (|tptp.'fun_app$h'| |tptp.'less_eq$'| (|tptp.'fun_app$m'| _let_1 A__questionmark_v1)) (|tptp.'fun_app$m'| _let_1 A__questionmark_v2)) (|tptp.'fun_app$g'| (|tptp.'fun_app$h'| |tptp.'less_eq$'| A__questionmark_v1) A__questionmark_v2)))) (forall ((A__questionmark_v0 |tptp.'A_c_prod_ell2_b_d_prod_ell2_cblinfun$'|) (A__questionmark_v1 |tptp.'A_c_prod_ell2_b_d_prod_ell2_cblinfun$'|) (A__questionmark_v2 |tptp.'A_c_prod_ell2_b_d_prod_ell2_cblinfun$'|)) (let ((_let_1 (|tptp.'fun_app$s'| |tptp.'plus$b'| A__questionmark_v0))) (=> (|tptp.'fun_app$e'| (|tptp.'less_eq$a'| (|tptp.'fun_app$r'| _let_1 A__questionmark_v1)) (|tptp.'fun_app$r'| _let_1 A__questionmark_v2)) (|tptp.'fun_app$e'| (|tptp.'less_eq$a'| A__questionmark_v1) A__questionmark_v2)))) (forall ((A__questionmark_v0 |tptp.'C_ell2_d_ell2_cblinfun$'|) (A__questionmark_v1 |tptp.'C_ell2_d_ell2_cblinfun$'|) (A__questionmark_v2 |tptp.'C_ell2_d_ell2_cblinfun$'|)) (=> (|tptp.'fun_app$g'| (|tptp.'fun_app$h'| |tptp.'less_eq$'| (|tptp.'fun_app$m'| (|tptp.'fun_app$n'| |tptp.'plus$a'| A__questionmark_v0) A__questionmark_v1)) (|tptp.'fun_app$m'| (|tptp.'fun_app$n'| |tptp.'plus$a'| A__questionmark_v2) A__questionmark_v1)) (|tptp.'fun_app$g'| (|tptp.'fun_app$h'| |tptp.'less_eq$'| A__questionmark_v0) A__questionmark_v2))) (forall ((A__questionmark_v0 |tptp.'A_c_prod_ell2_b_d_prod_ell2_cblinfun$'|) (A__questionmark_v1 |tptp.'A_c_prod_ell2_b_d_prod_ell2_cblinfun$'|) (A__questionmark_v2 |tptp.'A_c_prod_ell2_b_d_prod_ell2_cblinfun$'|)) (=> (|tptp.'fun_app$e'| (|tptp.'less_eq$a'| (|tptp.'fun_app$r'| (|tptp.'fun_app$s'| |tptp.'plus$b'| A__questionmark_v0) A__questionmark_v1)) (|tptp.'fun_app$r'| (|tptp.'fun_app$s'| |tptp.'plus$b'| A__questionmark_v2) A__questionmark_v1)) (|tptp.'fun_app$e'| (|tptp.'less_eq$a'| A__questionmark_v0) A__questionmark_v2))) (forall ((A__questionmark_v0 |tptp.'C_ell2_d_ell2_cblinfun$'|) (A__questionmark_v1 |tptp.'C_ell2_d_ell2_cblinfun_set$'|) (A__questionmark_v2 |tptp.'C_ell2_d_ell2_cblinfun_set$'|)) (let ((_let_1 (|tptp.'fun_app$n'| |tptp.'plus$a'| A__questionmark_v0))) (= (|tptp.'less_eq$b'| (|tptp.'image$b'| _let_1 A__questionmark_v1) (|tptp.'image$b'| _let_1 A__questionmark_v2)) (|tptp.'less_eq$b'| A__questionmark_v1 A__questionmark_v2)))) (forall ((A__questionmark_v0 |tptp.'A_c_prod_ell2_b_d_prod_ell2_cblinfun$'|) (A__questionmark_v1 |tptp.'A_c_prod_ell2_b_d_prod_ell2_cblinfun_set$'|) (A__questionmark_v2 |tptp.'A_c_prod_ell2_b_d_prod_ell2_cblinfun_set$'|)) (let ((_let_1 (|tptp.'fun_app$s'| |tptp.'plus$b'| A__questionmark_v0))) (= (|tptp.'less_eq$c'| (|tptp.'image$c'| _let_1 A__questionmark_v1) (|tptp.'image$c'| _let_1 A__questionmark_v2)) (|tptp.'less_eq$c'| A__questionmark_v1 A__questionmark_v2)))) (forall ((A__questionmark_v0 |tptp.'A_a_fun$'|) (A__questionmark_v1 |tptp.'C_c_fun$'|) (A__questionmark_v2 |tptp.'A$'|) (A__questionmark_v3 |tptp.'C$'|)) (= (|tptp.'fun_app$aj'| (|tptp.'map_prod$'| A__questionmark_v0 A__questionmark_v1) (|tptp.'fun_app$p'| (|tptp.'fun_app$q'| |tptp.'pair$'| A__questionmark_v2) A__questionmark_v3)) (|tptp.'fun_app$p'| (|tptp.'fun_app$q'| |tptp.'pair$'| (|tptp.'fun_app$ak'| A__questionmark_v0 A__questionmark_v2)) (|tptp.'fun_app$al'| A__questionmark_v1 A__questionmark_v3)))) (forall ((A__questionmark_v0 |tptp.'A_a_fun$'|) (A__questionmark_v1 |tptp.'A$'|) (A__questionmark_v2 |tptp.'C$'|)) (= (|tptp.'apfst$'| A__questionmark_v0 (|tptp.'fun_app$p'| (|tptp.'fun_app$q'| |tptp.'pair$'| A__questionmark_v1) A__questionmark_v2)) (|tptp.'fun_app$p'| (|tptp.'fun_app$q'| |tptp.'pair$'| (|tptp.'fun_app$ak'| A__questionmark_v0 A__questionmark_v1)) A__questionmark_v2))) (forall ((A__questionmark_v0 |tptp.'C_c_fun$'|) (A__questionmark_v1 |tptp.'A$'|) (A__questionmark_v2 |tptp.'C$'|)) (let ((_let_1 (|tptp.'fun_app$q'| |tptp.'pair$'| A__questionmark_v1))) (= (|tptp.'apsnd$'| A__questionmark_v0 (|tptp.'fun_app$p'| _let_1 A__questionmark_v2)) (|tptp.'fun_app$p'| _let_1 (|tptp.'fun_app$al'| A__questionmark_v0 A__questionmark_v2))))) (forall ((A__questionmark_v0 |tptp.'A$'|) (A__questionmark_v1 |tptp.'C$'|) (A__questionmark_v2 |tptp.'A_c_prod_set$'|) (A__questionmark_v3 |tptp.'A_a_fun$'|) (A__questionmark_v4 |tptp.'C_c_fun$'|)) (=> (|tptp.'member$a'| (|tptp.'fun_app$p'| (|tptp.'fun_app$q'| |tptp.'pair$'| A__questionmark_v0) A__questionmark_v1) A__questionmark_v2) (|tptp.'member$a'| (|tptp.'fun_app$p'| (|tptp.'fun_app$q'| |tptp.'pair$'| (|tptp.'fun_app$ak'| A__questionmark_v3 A__questionmark_v0)) (|tptp.'fun_app$al'| A__questionmark_v4 A__questionmark_v1)) (|tptp.'image$d'| (|tptp.'map_prod$'| A__questionmark_v3 A__questionmark_v4) A__questionmark_v2)))) (forall ((A__questionmark_v0 |tptp.'A_c_prod$'|) (A__questionmark_v1 |tptp.'A_a_fun$'|) (A__questionmark_v2 |tptp.'C_c_fun$'|) (A__questionmark_v3 |tptp.'A_c_prod_set$'|)) (=> (and (|tptp.'member$a'| A__questionmark_v0 (|tptp.'image$d'| (|tptp.'map_prod$'| A__questionmark_v1 A__questionmark_v2) A__questionmark_v3)) (forall ((A__questionmark_v4 |tptp.'A$'|) (A__questionmark_v5 |tptp.'C$'|)) (=> (and (= A__questionmark_v0 (|tptp.'fun_app$p'| (|tptp.'fun_app$q'| |tptp.'pair$'| (|tptp.'fun_app$ak'| A__questionmark_v1 A__questionmark_v4)) (|tptp.'fun_app$al'| A__questionmark_v2 A__questionmark_v5))) (|tptp.'member$a'| (|tptp.'fun_app$p'| (|tptp.'fun_app$q'| |tptp.'pair$'| A__questionmark_v4) A__questionmark_v5) A__questionmark_v3)) false))) false)) (forall ((A__questionmark_v0 |tptp.'A_c_prod$'|) (A__questionmark_v1 |tptp.'A_a_fun$'|) (A__questionmark_v2 |tptp.'A_c_prod$'|)) (=> (and (= A__questionmark_v0 (|tptp.'apfst$'| A__questionmark_v1 A__questionmark_v2)) (forall ((A__questionmark_v3 |tptp.'A$'|) (A__questionmark_v4 |tptp.'C$'|)) (=> (and (= A__questionmark_v2 (|tptp.'fun_app$p'| (|tptp.'fun_app$q'| |tptp.'pair$'| A__questionmark_v3) A__questionmark_v4)) (= A__questionmark_v0 (|tptp.'fun_app$p'| (|tptp.'fun_app$q'| |tptp.'pair$'| (|tptp.'fun_app$ak'| A__questionmark_v1 A__questionmark_v3)) A__questionmark_v4))) false))) false)) (forall ((A__questionmark_v0 |tptp.'A_c_prod_set$'|) (A__questionmark_v1 |tptp.'A_c_prod_set$'|)) (=> (forall ((A__questionmark_v2 |tptp.'A$'|) (A__questionmark_v3 |tptp.'C$'|)) (let ((_let_1 (|tptp.'fun_app$p'| (|tptp.'fun_app$q'| |tptp.'pair$'| A__questionmark_v2) A__questionmark_v3))) (=> (|tptp.'member$a'| _let_1 A__questionmark_v0) (|tptp.'member$a'| _let_1 A__questionmark_v1)))) (|tptp.'less_eq$d'| A__questionmark_v0 A__questionmark_v1))) (|tptp.'rel_fun$'| |tptp.'uue$'| (|tptp.'rel_fun$a'| |tptp.'uue$'| |tptp.'uue$'|) |tptp.'plus$a'| |tptp.'plus$a'|) (|tptp.'rel_fun$b'| |tptp.'uuf$'| (|tptp.'rel_fun$c'| |tptp.'uuf$'| |tptp.'uuf$'|) |tptp.'plus$b'| |tptp.'plus$b'|) (= (|tptp.'case_prod$'| |tptp.'pair$'|) |tptp.'id$'|) (forall ((A__questionmark_v0 |tptp.'A_c_prod_set$'|) (A__questionmark_v1 |tptp.'A$'|) (A__questionmark_v2 |tptp.'C$'|)) (= (|tptp.'fun_app$ab'| (|tptp.'fun_app$ac'| (|tptp.'in_rel$'| A__questionmark_v0) A__questionmark_v1) A__questionmark_v2) (|tptp.'member$a'| (|tptp.'fun_app$p'| (|tptp.'fun_app$q'| |tptp.'pair$'| A__questionmark_v1) A__questionmark_v2) A__questionmark_v0))) (forall ((A__questionmark_v0 |tptp.'A$'|) (A__questionmark_v1 |tptp.'C$'|) (A__questionmark_v2 |tptp.'A_set$'|) (A__questionmark_v3 |tptp.'A_c_fun$'|)) (=> (|tptp.'member$a'| (|tptp.'fun_app$p'| (|tptp.'fun_app$q'| |tptp.'pair$'| A__questionmark_v0) A__questionmark_v1) (|tptp.'gr$'| A__questionmark_v2 A__questionmark_v3)) (= (|tptp.'fun_app$am'| A__questionmark_v3 A__questionmark_v0) A__questionmark_v1))) (forall ((A__questionmark_v0 |tptp.'A$'|) (A__questionmark_v1 |tptp.'C$'|) (A__questionmark_v2 |tptp.'A_set$'|) (A__questionmark_v3 |tptp.'A_c_fun$'|)) (=> (|tptp.'member$a'| (|tptp.'fun_app$p'| (|tptp.'fun_app$q'| |tptp.'pair$'| A__questionmark_v0) A__questionmark_v1) (|tptp.'gr$'| A__questionmark_v2 A__questionmark_v3)) (|tptp.'member$d'| A__questionmark_v0 A__questionmark_v2))) (forall ((A__questionmark_v0 |tptp.'C_ell2_d_ell2_cblinfun$'|)) (= (|tptp.'image$b'| (|tptp.'fun_app$n'| |tptp.'plus$a'| A__questionmark_v0) |tptp.'top$'|) |tptp.'top$'|)) (forall ((A__questionmark_v0 |tptp.'A_c_prod_ell2_b_d_prod_ell2_cblinfun$'|)) (= (|tptp.'image$c'| (|tptp.'fun_app$s'| |tptp.'plus$b'| A__questionmark_v0) |tptp.'top$a'|) |tptp.'top$a'|)) (forall ((A__questionmark_v0 |tptp.'C_ell2_d_ell2_cblinfun$'|)) (= (|tptp.'image$b'| (|tptp.'fun_app$n'| |tptp.'plus$a'| A__questionmark_v0) |tptp.'top$'|) |tptp.'top$'|)) (forall ((A__questionmark_v0 |tptp.'A_c_prod_ell2_b_d_prod_ell2_cblinfun$'|)) (= (|tptp.'image$c'| (|tptp.'fun_app$s'| |tptp.'plus$b'| A__questionmark_v0) |tptp.'top$a'|) |tptp.'top$a'|)) (forall ((A__questionmark_v0 |tptp.'A_c_prod_ell2_b_d_prod_ell2_cblinfun$'|)) (=> (|tptp.'fun_app$e'| |tptp.'unitary$'| A__questionmark_v0) (= (|tptp.'image$e'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| A__questionmark_v0) |tptp.'top$b'|) |tptp.'top$c'|))) (|tptp.'is_ortho_set$'| _let_1) (= _let_2 |tptp.'top$b'|) (not (|tptp.'cdependent$'| _let_1)) (forall ((A__questionmark_v0 |tptp.'A_c_prod_ell2$'|) (A__questionmark_v1 |tptp.'A_c_prod_ell2_set$'|) (A__questionmark_v2 |tptp.'A_c_prod_ell2_b_d_prod_ell2_cblinfun$'|) (A__questionmark_v3 |tptp.'A_c_prod_ell2_b_d_prod_ell2_cblinfun$'|)) (=> (and (|tptp.'member$c'| A__questionmark_v0 (|tptp.'cspan$'| A__questionmark_v1)) (forall ((A__questionmark_v4 |tptp.'A_c_prod_ell2$'|)) (=> (|tptp.'member$c'| A__questionmark_v4 A__questionmark_v1) (= (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| A__questionmark_v2) A__questionmark_v4) (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| A__questionmark_v3) A__questionmark_v4))))) (= (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| A__questionmark_v2) A__questionmark_v0) (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| A__questionmark_v3) A__questionmark_v0)))) (forall ((A__questionmark_v0 |tptp.'A_c_prod_ell2_set$'|) (A__questionmark_v1 |tptp.'A_c_prod_ell2_b_d_prod_ell2_cblinfun$'|) (A__questionmark_v2 |tptp.'A_c_prod_ell2_b_d_prod_ell2_cblinfun$'|)) (=> (and (= (|tptp.'cspan$'| A__questionmark_v0) |tptp.'top$b'|) (forall ((A__questionmark_v3 |tptp.'A_c_prod_ell2$'|)) (=> (|tptp.'member$c'| A__questionmark_v3 A__questionmark_v0) (= (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| A__questionmark_v1) A__questionmark_v3) (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| A__questionmark_v2) A__questionmark_v3))))) (= A__questionmark_v1 A__questionmark_v2))) (= (|tptp.'closure$'| _let_2) |tptp.'top$b'|) (forall ((A__questionmark_v0 |tptp.'C_ell2_d_ell2_cblinfun$'|) (A__questionmark_v1 |tptp.'C_ell2_d_ell2_cblinfun_set$'|) (A__questionmark_v2 |tptp.'C_ell2_d_ell2_cblinfun$'|)) (let ((_let_1 (|tptp.'cspan$a'| A__questionmark_v1))) (=> (|tptp.'member$i'| A__questionmark_v0 _let_1) (= (|tptp.'member$i'| (|tptp.'fun_app$m'| (|tptp.'fun_app$n'| |tptp.'plus$a'| A__questionmark_v2) A__questionmark_v0) _let_1) (|tptp.'member$i'| A__questionmark_v2 _let_1))))) (forall ((A__questionmark_v0 |tptp.'A_c_prod_ell2_b_d_prod_ell2_cblinfun$'|) (A__questionmark_v1 |tptp.'A_c_prod_ell2_b_d_prod_ell2_cblinfun_set$'|) (A__questionmark_v2 |tptp.'A_c_prod_ell2_b_d_prod_ell2_cblinfun$'|)) (let ((_let_1 (|tptp.'cspan$b'| A__questionmark_v1))) (=> (|tptp.'member$j'| A__questionmark_v0 _let_1) (= (|tptp.'member$j'| (|tptp.'fun_app$r'| (|tptp.'fun_app$s'| |tptp.'plus$b'| A__questionmark_v2) A__questionmark_v0) _let_1) (|tptp.'member$j'| A__questionmark_v2 _let_1))))) (forall ((A__questionmark_v0 |tptp.'C_ell2_d_ell2_cblinfun$'|) (A__questionmark_v1 |tptp.'C_ell2_d_ell2_cblinfun_set$'|) (A__questionmark_v2 |tptp.'C_ell2_d_ell2_cblinfun$'|)) (let ((_let_1 (|tptp.'cspan$a'| A__questionmark_v1))) (=> (|tptp.'member$i'| A__questionmark_v0 _let_1) (= (|tptp.'member$i'| (|tptp.'fun_app$m'| (|tptp.'fun_app$n'| |tptp.'plus$a'| A__questionmark_v0) A__questionmark_v2) _let_1) (|tptp.'member$i'| A__questionmark_v2 _let_1))))) (forall ((A__questionmark_v0 |tptp.'A_c_prod_ell2_b_d_prod_ell2_cblinfun$'|) (A__questionmark_v1 |tptp.'A_c_prod_ell2_b_d_prod_ell2_cblinfun_set$'|) (A__questionmark_v2 |tptp.'A_c_prod_ell2_b_d_prod_ell2_cblinfun$'|)) (let ((_let_1 (|tptp.'cspan$b'| A__questionmark_v1))) (=> (|tptp.'member$j'| A__questionmark_v0 _let_1) (= (|tptp.'member$j'| (|tptp.'fun_app$r'| (|tptp.'fun_app$s'| |tptp.'plus$b'| A__questionmark_v0) A__questionmark_v2) _let_1) (|tptp.'member$j'| A__questionmark_v2 _let_1))))) (forall ((A__questionmark_v0 |tptp.'C_ell2_d_ell2_cblinfun$'|) (A__questionmark_v1 |tptp.'C_ell2_d_ell2_cblinfun_set$'|) (A__questionmark_v2 |tptp.'C_ell2_d_ell2_cblinfun$'|)) (let ((_let_1 (|tptp.'cspan$a'| A__questionmark_v1))) (=> (and (|tptp.'member$i'| A__questionmark_v0 _let_1) (|tptp.'member$i'| A__questionmark_v2 _let_1)) (|tptp.'member$i'| (|tptp.'fun_app$m'| (|tptp.'fun_app$n'| |tptp.'plus$a'| A__questionmark_v0) A__questionmark_v2) _let_1)))) (forall ((A__questionmark_v0 |tptp.'A_c_prod_ell2_b_d_prod_ell2_cblinfun$'|) (A__questionmark_v1 |tptp.'A_c_prod_ell2_b_d_prod_ell2_cblinfun_set$'|) (A__questionmark_v2 |tptp.'A_c_prod_ell2_b_d_prod_ell2_cblinfun$'|)) (let ((_let_1 (|tptp.'cspan$b'| A__questionmark_v1))) (=> (and (|tptp.'member$j'| A__questionmark_v0 _let_1) (|tptp.'member$j'| A__questionmark_v2 _let_1)) (|tptp.'member$j'| (|tptp.'fun_app$r'| (|tptp.'fun_app$s'| |tptp.'plus$b'| A__questionmark_v0) A__questionmark_v2) _let_1)))) (forall ((A__questionmark_v0 |tptp.'A_c_prod_ell2_set$'|) (A__questionmark_v1 |tptp.'A_c_prod_ell2_b_d_prod_ell2_cblinfun$'|) (A__questionmark_v2 |tptp.'A_c_prod_ell2_b_d_prod_ell2_cblinfun$'|) (A__questionmark_v3 |tptp.'A_c_prod_ell2$'|)) (=> (and (forall ((A__questionmark_v4 |tptp.'A_c_prod_ell2$'|)) (=> (|tptp.'member$c'| A__questionmark_v4 A__questionmark_v0) (= (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| A__questionmark_v1) A__questionmark_v4) (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| A__questionmark_v2) A__questionmark_v4)))) (|tptp.'member$c'| A__questionmark_v3 (|tptp.'closure$'| (|tptp.'cspan$'| A__questionmark_v0)))) (= (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| A__questionmark_v1) A__questionmark_v3) (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| A__questionmark_v2) A__questionmark_v3)))) (forall ((A__questionmark_v0 |tptp.'C_ell2_d_ell2_cblinfun$'|) (A__questionmark_v1 |tptp.'C_ell2_d_ell2_cblinfun_set$'|)) (let ((_let_1 (|tptp.'fun_app$n'| |tptp.'plus$a'| A__questionmark_v0))) (= (|tptp.'closure$a'| (|tptp.'image$b'| _let_1 A__questionmark_v1)) (|tptp.'image$b'| _let_1 (|tptp.'closure$a'| A__questionmark_v1))))) (forall ((A__questionmark_v0 |tptp.'A_c_prod_ell2_b_d_prod_ell2_cblinfun$'|) (A__questionmark_v1 |tptp.'A_c_prod_ell2_b_d_prod_ell2_cblinfun_set$'|)) (let ((_let_1 (|tptp.'fun_app$s'| |tptp.'plus$b'| A__questionmark_v0))) (= (|tptp.'closure$b'| (|tptp.'image$c'| _let_1 A__questionmark_v1)) (|tptp.'image$c'| _let_1 (|tptp.'closure$b'| A__questionmark_v1))))) (forall ((A__questionmark_v0 |tptp.'C_ell2_d_ell2_cblinfun_set$'|) (A__questionmark_v1 |tptp.'C_ell2_d_ell2_cblinfun$'|) (A__questionmark_v2 |tptp.'C_ell2_d_ell2_cblinfun$'|)) (let ((_let_1 (|tptp.'cspan$a'| A__questionmark_v0))) (=> (and (not (|tptp.'cdependent$a'| A__questionmark_v0)) (|tptp.'member$i'| A__questionmark_v1 _let_1) (|tptp.'member$i'| A__questionmark_v2 _let_1)) (= (|tptp.'crepresentation$a'| A__questionmark_v0 (|tptp.'fun_app$m'| (|tptp.'fun_app$n'| |tptp.'plus$a'| A__questionmark_v2) A__questionmark_v1)) (|tptp.'uug$'| A__questionmark_v0 A__questionmark_v1 A__questionmark_v2))))) (forall ((A__questionmark_v0 |tptp.'A_c_prod_ell2_b_d_prod_ell2_cblinfun_set$'|) (A__questionmark_v1 |tptp.'A_c_prod_ell2_b_d_prod_ell2_cblinfun$'|) (A__questionmark_v2 |tptp.'A_c_prod_ell2_b_d_prod_ell2_cblinfun$'|)) (let ((_let_1 (|tptp.'cspan$b'| A__questionmark_v0))) (=> (and (not (|tptp.'cdependent$b'| A__questionmark_v0)) (|tptp.'member$j'| A__questionmark_v1 _let_1) (|tptp.'member$j'| A__questionmark_v2 _let_1)) (= (|tptp.'crepresentation$'| A__questionmark_v0 (|tptp.'fun_app$r'| (|tptp.'fun_app$s'| |tptp.'plus$b'| A__questionmark_v2) A__questionmark_v1)) (|tptp.'uuh$'| A__questionmark_v0 A__questionmark_v1 A__questionmark_v2))))) (forall ((A__questionmark_v0 |tptp.'A_c_prod_ell2_set$'|) (A__questionmark_v1 |tptp.'B_d_prod_ell2_set$'|) (A__questionmark_v2 |tptp.'A_c_prod_ell2_b_d_prod_ell2_cblinfun_set$'|)) (=> (and (= (|tptp.'cspan$'| A__questionmark_v0) |tptp.'top$b'|) (= (|tptp.'cspan$c'| A__questionmark_v1) |tptp.'top$c'|) (forall ((A__questionmark_v3 |tptp.'A_c_prod_ell2$'|) (A__questionmark_v4 |tptp.'B_d_prod_ell2$'|)) (=> (and (|tptp.'member$c'| A__questionmark_v3 A__questionmark_v0) (|tptp.'member$b'| A__questionmark_v4 A__questionmark_v1)) (exists ((A__questionmark_v5 |tptp.'A_c_prod_ell2_b_d_prod_ell2_cblinfun$'|)) (and (|tptp.'member$j'| A__questionmark_v5 A__questionmark_v2) (forall ((A__questionmark_v6 |tptp.'A_c_prod_ell2$'|)) (let ((_let_1 (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| A__questionmark_v5) A__questionmark_v6))) (let ((_let_2 (= A__questionmark_v6 A__questionmark_v3))) (=> (|tptp.'member$c'| A__questionmark_v6 A__questionmark_v0) (and (=> _let_2 (= _let_1 A__questionmark_v4)) (=> (not _let_2) (= _let_1 |tptp.'zero$'|)))))))))))) (= (|tptp.'cspan$b'| A__questionmark_v2) |tptp.'top$a'|))) (forall ((A__questionmark_v0 |tptp.'C_ell2_d_ell2_cblinfun$'|)) (= (|tptp.'fun_app$m'| (|tptp.'fun_app$n'| |tptp.'plus$a'| |tptp.'zero$a'|) A__questionmark_v0) A__questionmark_v0)) (forall ((A__questionmark_v0 |tptp.'A_c_prod_ell2_b_d_prod_ell2_cblinfun$'|)) (= (|tptp.'fun_app$r'| (|tptp.'fun_app$s'| |tptp.'plus$b'| |tptp.'zero$b'|) A__questionmark_v0) A__questionmark_v0)) (forall ((A__questionmark_v0 |tptp.'C_ell2_d_ell2_cblinfun$'|) (A__questionmark_v1 |tptp.'C_ell2_d_ell2_cblinfun$'|)) (= (= A__questionmark_v0 (|tptp.'fun_app$m'| (|tptp.'fun_app$n'| |tptp.'plus$a'| A__questionmark_v0) A__questionmark_v1)) (= A__questionmark_v1 |tptp.'zero$a'|))) (forall ((A__questionmark_v0 |tptp.'A_c_prod_ell2_b_d_prod_ell2_cblinfun$'|) (A__questionmark_v1 |tptp.'A_c_prod_ell2_b_d_prod_ell2_cblinfun$'|)) (= (= A__questionmark_v0 (|tptp.'fun_app$r'| (|tptp.'fun_app$s'| |tptp.'plus$b'| A__questionmark_v0) A__questionmark_v1)) (= A__questionmark_v1 |tptp.'zero$b'|))) (forall ((A__questionmark_v0 |tptp.'C_ell2_d_ell2_cblinfun$'|) (A__questionmark_v1 |tptp.'C_ell2_d_ell2_cblinfun$'|)) (= (= A__questionmark_v0 (|tptp.'fun_app$m'| (|tptp.'fun_app$n'| |tptp.'plus$a'| A__questionmark_v1) A__questionmark_v0)) (= A__questionmark_v1 |tptp.'zero$a'|))) (forall ((A__questionmark_v0 |tptp.'A_c_prod_ell2_b_d_prod_ell2_cblinfun$'|) (A__questionmark_v1 |tptp.'A_c_prod_ell2_b_d_prod_ell2_cblinfun$'|)) (= (= A__questionmark_v0 (|tptp.'fun_app$r'| (|tptp.'fun_app$s'| |tptp.'plus$b'| A__questionmark_v1) A__questionmark_v0)) (= A__questionmark_v1 |tptp.'zero$b'|))) (forall ((A__questionmark_v0 |tptp.'C_ell2_d_ell2_cblinfun$'|) (A__questionmark_v1 |tptp.'C_ell2_d_ell2_cblinfun$'|)) (= (= (|tptp.'fun_app$m'| (|tptp.'fun_app$n'| |tptp.'plus$a'| A__questionmark_v0) A__questionmark_v1) A__questionmark_v0) (= A__questionmark_v1 |tptp.'zero$a'|))) (forall ((A__questionmark_v0 |tptp.'A_c_prod_ell2_b_d_prod_ell2_cblinfun$'|) (A__questionmark_v1 |tptp.'A_c_prod_ell2_b_d_prod_ell2_cblinfun$'|)) (= (= (|tptp.'fun_app$r'| (|tptp.'fun_app$s'| |tptp.'plus$b'| A__questionmark_v0) A__questionmark_v1) A__questionmark_v0) (= A__questionmark_v1 |tptp.'zero$b'|))) (forall ((A__questionmark_v0 |tptp.'C_ell2_d_ell2_cblinfun$'|) (A__questionmark_v1 |tptp.'C_ell2_d_ell2_cblinfun$'|)) (= (= (|tptp.'fun_app$m'| (|tptp.'fun_app$n'| |tptp.'plus$a'| A__questionmark_v0) A__questionmark_v1) A__questionmark_v1) (= A__questionmark_v0 |tptp.'zero$a'|))) (forall ((A__questionmark_v0 |tptp.'A_c_prod_ell2_b_d_prod_ell2_cblinfun$'|) (A__questionmark_v1 |tptp.'A_c_prod_ell2_b_d_prod_ell2_cblinfun$'|)) (= (= (|tptp.'fun_app$r'| (|tptp.'fun_app$s'| |tptp.'plus$b'| A__questionmark_v0) A__questionmark_v1) A__questionmark_v1) (= A__questionmark_v0 |tptp.'zero$b'|))) (forall ((A__questionmark_v0 |tptp.'C_ell2_d_ell2_cblinfun$'|)) (= (|tptp.'fun_app$m'| (|tptp.'fun_app$n'| |tptp.'plus$a'| A__questionmark_v0) |tptp.'zero$a'|) A__questionmark_v0)) (forall ((A__questionmark_v0 |tptp.'A_c_prod_ell2_b_d_prod_ell2_cblinfun$'|)) (= (|tptp.'fun_app$r'| (|tptp.'fun_app$s'| |tptp.'plus$b'| A__questionmark_v0) |tptp.'zero$b'|) A__questionmark_v0)) (forall ((A__questionmark_v0 |tptp.'A_c_prod_ell2$'|)) (= (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| |tptp.'zero$b'|) A__questionmark_v0) |tptp.'zero$'|)) (forall ((A__questionmark_v0 |tptp.'A_c_prod_ell2_b_d_prod_ell2_cblinfun$'|)) (= (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| A__questionmark_v0) |tptp.'zero$c'|) |tptp.'zero$'|)) (forall ((A__questionmark_v0 |tptp.'C_ell2_d_ell2_cblinfun$'|) (A__questionmark_v1 |tptp.'C_ell2_d_ell2_cblinfun$'|)) (= (|tptp.'fun_app$g'| (|tptp.'fun_app$h'| |tptp.'less_eq$'| (|tptp.'fun_app$m'| (|tptp.'fun_app$n'| |tptp.'plus$a'| A__questionmark_v0) A__questionmark_v1)) A__questionmark_v0) (|tptp.'fun_app$g'| (|tptp.'fun_app$h'| |tptp.'less_eq$'| A__questionmark_v1) |tptp.'zero$a'|))) (forall ((A__questionmark_v0 |tptp.'A_c_prod_ell2_b_d_prod_ell2_cblinfun$'|) (A__questionmark_v1 |tptp.'A_c_prod_ell2_b_d_prod_ell2_cblinfun$'|)) (= (|tptp.'fun_app$e'| (|tptp.'less_eq$a'| (|tptp.'fun_app$r'| (|tptp.'fun_app$s'| |tptp.'plus$b'| A__questionmark_v0) A__questionmark_v1)) A__questionmark_v0) (|tptp.'fun_app$e'| (|tptp.'less_eq$a'| A__questionmark_v1) |tptp.'zero$b'|))) (forall ((A__questionmark_v0 |tptp.'C_ell2_d_ell2_cblinfun$'|) (A__questionmark_v1 |tptp.'C_ell2_d_ell2_cblinfun$'|)) (= (|tptp.'fun_app$g'| (|tptp.'fun_app$h'| |tptp.'less_eq$'| (|tptp.'fun_app$m'| (|tptp.'fun_app$n'| |tptp.'plus$a'| A__questionmark_v0) A__questionmark_v1)) A__questionmark_v1) (|tptp.'fun_app$g'| (|tptp.'fun_app$h'| |tptp.'less_eq$'| A__questionmark_v0) |tptp.'zero$a'|))) (forall ((A__questionmark_v0 |tptp.'A_c_prod_ell2_b_d_prod_ell2_cblinfun$'|) (A__questionmark_v1 |tptp.'A_c_prod_ell2_b_d_prod_ell2_cblinfun$'|)) (= (|tptp.'fun_app$e'| (|tptp.'less_eq$a'| (|tptp.'fun_app$r'| (|tptp.'fun_app$s'| |tptp.'plus$b'| A__questionmark_v0) A__questionmark_v1)) A__questionmark_v1) (|tptp.'fun_app$e'| (|tptp.'less_eq$a'| A__questionmark_v0) |tptp.'zero$b'|))) (forall ((A__questionmark_v0 |tptp.'C_ell2_d_ell2_cblinfun$'|) (A__questionmark_v1 |tptp.'C_ell2_d_ell2_cblinfun$'|)) (= (|tptp.'fun_app$g'| (|tptp.'fun_app$h'| |tptp.'less_eq$'| A__questionmark_v0) (|tptp.'fun_app$m'| (|tptp.'fun_app$n'| |tptp.'plus$a'| A__questionmark_v0) A__questionmark_v1)) (|tptp.'fun_app$g'| (|tptp.'fun_app$h'| |tptp.'less_eq$'| |tptp.'zero$a'|) A__questionmark_v1))) (forall ((A__questionmark_v0 |tptp.'A_c_prod_ell2_b_d_prod_ell2_cblinfun$'|) (A__questionmark_v1 |tptp.'A_c_prod_ell2_b_d_prod_ell2_cblinfun$'|)) (= (|tptp.'fun_app$e'| (|tptp.'less_eq$a'| A__questionmark_v0) (|tptp.'fun_app$r'| (|tptp.'fun_app$s'| |tptp.'plus$b'| A__questionmark_v0) A__questionmark_v1)) (|tptp.'fun_app$e'| (|tptp.'less_eq$a'| |tptp.'zero$b'|) A__questionmark_v1))) (forall ((A__questionmark_v0 |tptp.'C_ell2_d_ell2_cblinfun$'|) (A__questionmark_v1 |tptp.'C_ell2_d_ell2_cblinfun$'|)) (= (|tptp.'fun_app$g'| (|tptp.'fun_app$h'| |tptp.'less_eq$'| A__questionmark_v0) (|tptp.'fun_app$m'| (|tptp.'fun_app$n'| |tptp.'plus$a'| A__questionmark_v1) A__questionmark_v0)) (|tptp.'fun_app$g'| (|tptp.'fun_app$h'| |tptp.'less_eq$'| |tptp.'zero$a'|) A__questionmark_v1))) (forall ((A__questionmark_v0 |tptp.'A_c_prod_ell2_b_d_prod_ell2_cblinfun$'|) (A__questionmark_v1 |tptp.'A_c_prod_ell2_b_d_prod_ell2_cblinfun$'|)) (= (|tptp.'fun_app$e'| (|tptp.'less_eq$a'| A__questionmark_v0) (|tptp.'fun_app$r'| (|tptp.'fun_app$s'| |tptp.'plus$b'| A__questionmark_v1) A__questionmark_v0)) (|tptp.'fun_app$e'| (|tptp.'less_eq$a'| |tptp.'zero$b'|) A__questionmark_v1))) (forall ((A__questionmark_v0 |tptp.'C_ell2_d_ell2_cblinfun$'|) (A__questionmark_v1 |tptp.'C_ell2_d_ell2_cblinfun$'|)) (= (= A__questionmark_v0 (|tptp.'fun_app$m'| (|tptp.'fun_app$n'| |tptp.'plus$a'| A__questionmark_v0) A__questionmark_v1)) (= A__questionmark_v1 |tptp.'zero$a'|))) (forall ((A__questionmark_v0 |tptp.'A_c_prod_ell2_b_d_prod_ell2_cblinfun$'|) (A__questionmark_v1 |tptp.'A_c_prod_ell2_b_d_prod_ell2_cblinfun$'|)) (= (= A__questionmark_v0 (|tptp.'fun_app$r'| (|tptp.'fun_app$s'| |tptp.'plus$b'| A__questionmark_v0) A__questionmark_v1)) (= A__questionmark_v1 |tptp.'zero$b'|))) (forall ((A__questionmark_v0 |tptp.'C_ell2_d_ell2_cblinfun$'|)) (= (|tptp.'fun_app$m'| (|tptp.'fun_app$n'| |tptp.'plus$a'| |tptp.'zero$a'|) A__questionmark_v0) A__questionmark_v0)) (forall ((A__questionmark_v0 |tptp.'A_c_prod_ell2_b_d_prod_ell2_cblinfun$'|)) (= (|tptp.'fun_app$r'| (|tptp.'fun_app$s'| |tptp.'plus$b'| |tptp.'zero$b'|) A__questionmark_v0) A__questionmark_v0)) (forall ((A__questionmark_v0 |tptp.'C_ell2_d_ell2_cblinfun$'|)) (= (|tptp.'fun_app$m'| (|tptp.'fun_app$n'| |tptp.'plus$a'| A__questionmark_v0) |tptp.'zero$a'|) A__questionmark_v0)) (forall ((A__questionmark_v0 |tptp.'A_c_prod_ell2_b_d_prod_ell2_cblinfun$'|)) (= (|tptp.'fun_app$r'| (|tptp.'fun_app$s'| |tptp.'plus$b'| A__questionmark_v0) |tptp.'zero$b'|) A__questionmark_v0)) (forall ((A__questionmark_v0 |tptp.'C_ell2_d_ell2_cblinfun$'|)) (= (|tptp.'fun_app$m'| (|tptp.'fun_app$n'| |tptp.'plus$a'| |tptp.'zero$a'|) A__questionmark_v0) A__questionmark_v0)) (forall ((A__questionmark_v0 |tptp.'A_c_prod_ell2_b_d_prod_ell2_cblinfun$'|)) (= (|tptp.'fun_app$r'| (|tptp.'fun_app$s'| |tptp.'plus$b'| |tptp.'zero$b'|) A__questionmark_v0) A__questionmark_v0)) (forall ((A__questionmark_v0 |tptp.'A_c_prod_ell2$'|)) (= (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| |tptp.'zero$b'|) A__questionmark_v0) |tptp.'zero$'|)) (forall ((A__questionmark_v0 |tptp.'A_c_prod$'|)) (not (= (|tptp.'fun_app$o'| |tptp.'ket$'| A__questionmark_v0) |tptp.'zero$c'|))) (forall ((A__questionmark_v0 |tptp.'A_c_prod_ell2_set$'|) (A__questionmark_v1 |tptp.'A_c_prod_ell2_b_d_prod_ell2_cblinfun$'|)) (=> (and (= (|tptp.'cspan$'| A__questionmark_v0) |tptp.'top$b'|) (forall ((A__questionmark_v2 |tptp.'A_c_prod_ell2$'|)) (=> (|tptp.'member$c'| A__questionmark_v2 A__questionmark_v0) (= (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| A__questionmark_v1) A__questionmark_v2) |tptp.'zero$'|)))) (= A__questionmark_v1 |tptp.'zero$b'|))) (forall ((A__questionmark_v0 |tptp.'C_ell2_d_ell2_cblinfun$'|) (A__questionmark_v1 |tptp.'C_ell2_d_ell2_cblinfun$'|) (A__questionmark_v2 |tptp.'C_ell2_d_ell2_cblinfun$'|)) (=> (and (|tptp.'fun_app$g'| (|tptp.'fun_app$h'| |tptp.'less_eq$'| A__questionmark_v0) |tptp.'zero$a'|) (|tptp.'fun_app$g'| (|tptp.'fun_app$h'| |tptp.'less_eq$'| A__questionmark_v1) A__questionmark_v2)) (|tptp.'fun_app$g'| (|tptp.'fun_app$h'| |tptp.'less_eq$'| (|tptp.'fun_app$m'| (|tptp.'fun_app$n'| |tptp.'plus$a'| A__questionmark_v0) A__questionmark_v1)) A__questionmark_v2))) (forall ((A__questionmark_v0 |tptp.'A_c_prod_ell2_b_d_prod_ell2_cblinfun$'|) (A__questionmark_v1 |tptp.'A_c_prod_ell2_b_d_prod_ell2_cblinfun$'|) (A__questionmark_v2 |tptp.'A_c_prod_ell2_b_d_prod_ell2_cblinfun$'|)) (=> (and (|tptp.'fun_app$e'| (|tptp.'less_eq$a'| A__questionmark_v0) |tptp.'zero$b'|) (|tptp.'fun_app$e'| (|tptp.'less_eq$a'| A__questionmark_v1) A__questionmark_v2)) (|tptp.'fun_app$e'| (|tptp.'less_eq$a'| (|tptp.'fun_app$r'| (|tptp.'fun_app$s'| |tptp.'plus$b'| A__questionmark_v0) A__questionmark_v1)) A__questionmark_v2))) (forall ((A__questionmark_v0 |tptp.'C_ell2_d_ell2_cblinfun$'|) (A__questionmark_v1 |tptp.'C_ell2_d_ell2_cblinfun$'|) (A__questionmark_v2 |tptp.'C_ell2_d_ell2_cblinfun$'|)) (let ((_let_1 (|tptp.'fun_app$h'| |tptp.'less_eq$'| A__questionmark_v1))) (=> (and (|tptp.'fun_app$g'| (|tptp.'fun_app$h'| |tptp.'less_eq$'| |tptp.'zero$a'|) A__questionmark_v0) (|tptp.'fun_app$g'| _let_1 A__questionmark_v2)) (|tptp.'fun_app$g'| _let_1 (|tptp.'fun_app$m'| (|tptp.'fun_app$n'| |tptp.'plus$a'| A__questionmark_v0) A__questionmark_v2))))) (forall ((A__questionmark_v0 |tptp.'A_c_prod_ell2_b_d_prod_ell2_cblinfun$'|) (A__questionmark_v1 |tptp.'A_c_prod_ell2_b_d_prod_ell2_cblinfun$'|) (A__questionmark_v2 |tptp.'A_c_prod_ell2_b_d_prod_ell2_cblinfun$'|)) (let ((_let_1 (|tptp.'less_eq$a'| A__questionmark_v1))) (=> (and (|tptp.'fun_app$e'| (|tptp.'less_eq$a'| |tptp.'zero$b'|) A__questionmark_v0) (|tptp.'fun_app$e'| _let_1 A__questionmark_v2)) (|tptp.'fun_app$e'| _let_1 (|tptp.'fun_app$r'| (|tptp.'fun_app$s'| |tptp.'plus$b'| A__questionmark_v0) A__questionmark_v2))))) (forall ((A__questionmark_v0 |tptp.'C_ell2_d_ell2_cblinfun$'|) (A__questionmark_v1 |tptp.'C_ell2_d_ell2_cblinfun$'|) (A__questionmark_v2 |tptp.'C_ell2_d_ell2_cblinfun$'|)) (=> (and (|tptp.'fun_app$g'| (|tptp.'fun_app$h'| |tptp.'less_eq$'| A__questionmark_v0) |tptp.'zero$a'|) (|tptp.'fun_app$g'| (|tptp.'fun_app$h'| |tptp.'less_eq$'| A__questionmark_v1) A__questionmark_v2)) (|tptp.'fun_app$g'| (|tptp.'fun_app$h'| |tptp.'less_eq$'| (|tptp.'fun_app$m'| (|tptp.'fun_app$n'| |tptp.'plus$a'| A__questionmark_v1) A__questionmark_v0)) A__questionmark_v2))) (forall ((A__questionmark_v0 |tptp.'A_c_prod_ell2_b_d_prod_ell2_cblinfun$'|) (A__questionmark_v1 |tptp.'A_c_prod_ell2_b_d_prod_ell2_cblinfun$'|) (A__questionmark_v2 |tptp.'A_c_prod_ell2_b_d_prod_ell2_cblinfun$'|)) (=> (and (|tptp.'fun_app$e'| (|tptp.'less_eq$a'| A__questionmark_v0) |tptp.'zero$b'|) (|tptp.'fun_app$e'| (|tptp.'less_eq$a'| A__questionmark_v1) A__questionmark_v2)) (|tptp.'fun_app$e'| (|tptp.'less_eq$a'| (|tptp.'fun_app$r'| (|tptp.'fun_app$s'| |tptp.'plus$b'| A__questionmark_v1) A__questionmark_v0)) A__questionmark_v2))) (forall ((A__questionmark_v0 |tptp.'C_ell2_d_ell2_cblinfun$'|) (A__questionmark_v1 |tptp.'C_ell2_d_ell2_cblinfun$'|) (A__questionmark_v2 |tptp.'C_ell2_d_ell2_cblinfun$'|)) (let ((_let_1 (|tptp.'fun_app$h'| |tptp.'less_eq$'| A__questionmark_v1))) (=> (and (|tptp.'fun_app$g'| (|tptp.'fun_app$h'| |tptp.'less_eq$'| |tptp.'zero$a'|) A__questionmark_v0) (|tptp.'fun_app$g'| _let_1 A__questionmark_v2)) (|tptp.'fun_app$g'| _let_1 (|tptp.'fun_app$m'| (|tptp.'fun_app$n'| |tptp.'plus$a'| A__questionmark_v2) A__questionmark_v0))))) (forall ((A__questionmark_v0 |tptp.'A_c_prod_ell2_b_d_prod_ell2_cblinfun$'|) (A__questionmark_v1 |tptp.'A_c_prod_ell2_b_d_prod_ell2_cblinfun$'|) (A__questionmark_v2 |tptp.'A_c_prod_ell2_b_d_prod_ell2_cblinfun$'|)) (let ((_let_1 (|tptp.'less_eq$a'| A__questionmark_v1))) (=> (and (|tptp.'fun_app$e'| (|tptp.'less_eq$a'| |tptp.'zero$b'|) A__questionmark_v0) (|tptp.'fun_app$e'| _let_1 A__questionmark_v2)) (|tptp.'fun_app$e'| _let_1 (|tptp.'fun_app$r'| (|tptp.'fun_app$s'| |tptp.'plus$b'| A__questionmark_v2) A__questionmark_v0))))) (forall ((A__questionmark_v0 |tptp.'C_ell2_d_ell2_cblinfun$'|) (A__questionmark_v1 |tptp.'C_ell2_d_ell2_cblinfun$'|)) (let ((_let_1 (|tptp.'fun_app$h'| |tptp.'less_eq$'| |tptp.'zero$a'|))) (=> (and (|tptp.'fun_app$g'| _let_1 A__questionmark_v0) (|tptp.'fun_app$g'| _let_1 A__questionmark_v1)) (|tptp.'fun_app$g'| _let_1 (|tptp.'fun_app$m'| (|tptp.'fun_app$n'| |tptp.'plus$a'| A__questionmark_v0) A__questionmark_v1))))) (forall ((A__questionmark_v0 |tptp.'A_c_prod_ell2_b_d_prod_ell2_cblinfun$'|) (A__questionmark_v1 |tptp.'A_c_prod_ell2_b_d_prod_ell2_cblinfun$'|)) (let ((_let_1 (|tptp.'less_eq$a'| |tptp.'zero$b'|))) (=> (and (|tptp.'fun_app$e'| _let_1 A__questionmark_v0) (|tptp.'fun_app$e'| _let_1 A__questionmark_v1)) (|tptp.'fun_app$e'| _let_1 (|tptp.'fun_app$r'| (|tptp.'fun_app$s'| |tptp.'plus$b'| A__questionmark_v0) A__questionmark_v1))))) (forall ((A__questionmark_v0 |tptp.'C_ell2_d_ell2_cblinfun$'|) (A__questionmark_v1 |tptp.'C_ell2_d_ell2_cblinfun$'|)) (=> (and (|tptp.'fun_app$g'| (|tptp.'fun_app$h'| |tptp.'less_eq$'| A__questionmark_v0) |tptp.'zero$a'|) (|tptp.'fun_app$g'| (|tptp.'fun_app$h'| |tptp.'less_eq$'| A__questionmark_v1) |tptp.'zero$a'|)) (|tptp.'fun_app$g'| (|tptp.'fun_app$h'| |tptp.'less_eq$'| (|tptp.'fun_app$m'| (|tptp.'fun_app$n'| |tptp.'plus$a'| A__questionmark_v0) A__questionmark_v1)) |tptp.'zero$a'|))) (forall ((A__questionmark_v0 |tptp.'A_c_prod_ell2_b_d_prod_ell2_cblinfun$'|) (A__questionmark_v1 |tptp.'A_c_prod_ell2_b_d_prod_ell2_cblinfun$'|)) (=> (and (|tptp.'fun_app$e'| (|tptp.'less_eq$a'| A__questionmark_v0) |tptp.'zero$b'|) (|tptp.'fun_app$e'| (|tptp.'less_eq$a'| A__questionmark_v1) |tptp.'zero$b'|)) (|tptp.'fun_app$e'| (|tptp.'less_eq$a'| (|tptp.'fun_app$r'| (|tptp.'fun_app$s'| |tptp.'plus$b'| A__questionmark_v0) A__questionmark_v1)) |tptp.'zero$b'|))) (forall ((A__questionmark_v0 |tptp.'C_ell2_d_ell2_cblinfun$'|) (A__questionmark_v1 |tptp.'C_ell2_d_ell2_cblinfun$'|)) (let ((_let_1 (|tptp.'fun_app$h'| |tptp.'less_eq$'| |tptp.'zero$a'|))) (=> (and (|tptp.'fun_app$g'| _let_1 A__questionmark_v0) (|tptp.'fun_app$g'| _let_1 A__questionmark_v1)) (= (= (|tptp.'fun_app$m'| (|tptp.'fun_app$n'| |tptp.'plus$a'| A__questionmark_v0) A__questionmark_v1) |tptp.'zero$a'|) (and (= A__questionmark_v0 |tptp.'zero$a'|) (= A__questionmark_v1 |tptp.'zero$a'|)))))) (forall ((A__questionmark_v0 |tptp.'A_c_prod_ell2_b_d_prod_ell2_cblinfun$'|) (A__questionmark_v1 |tptp.'A_c_prod_ell2_b_d_prod_ell2_cblinfun$'|)) (let ((_let_1 (|tptp.'less_eq$a'| |tptp.'zero$b'|))) (=> (and (|tptp.'fun_app$e'| _let_1 A__questionmark_v0) (|tptp.'fun_app$e'| _let_1 A__questionmark_v1)) (= (= (|tptp.'fun_app$r'| (|tptp.'fun_app$s'| |tptp.'plus$b'| A__questionmark_v0) A__questionmark_v1) |tptp.'zero$b'|) (and (= A__questionmark_v0 |tptp.'zero$b'|) (= A__questionmark_v1 |tptp.'zero$b'|)))))) (forall ((A__questionmark_v0 |tptp.'C_ell2_d_ell2_cblinfun$'|) (A__questionmark_v1 |tptp.'C_ell2_d_ell2_cblinfun$'|)) (=> (and (|tptp.'fun_app$g'| (|tptp.'fun_app$h'| |tptp.'less_eq$'| A__questionmark_v0) |tptp.'zero$a'|) (|tptp.'fun_app$g'| (|tptp.'fun_app$h'| |tptp.'less_eq$'| A__questionmark_v1) |tptp.'zero$a'|)) (= (= (|tptp.'fun_app$m'| (|tptp.'fun_app$n'| |tptp.'plus$a'| A__questionmark_v0) A__questionmark_v1) |tptp.'zero$a'|) (and (= A__questionmark_v0 |tptp.'zero$a'|) (= A__questionmark_v1 |tptp.'zero$a'|))))) (forall ((A__questionmark_v0 |tptp.'A_c_prod_ell2_b_d_prod_ell2_cblinfun$'|) (A__questionmark_v1 |tptp.'A_c_prod_ell2_b_d_prod_ell2_cblinfun$'|)) (=> (and (|tptp.'fun_app$e'| (|tptp.'less_eq$a'| A__questionmark_v0) |tptp.'zero$b'|) (|tptp.'fun_app$e'| (|tptp.'less_eq$a'| A__questionmark_v1) |tptp.'zero$b'|)) (= (= (|tptp.'fun_app$r'| (|tptp.'fun_app$s'| |tptp.'plus$b'| A__questionmark_v0) A__questionmark_v1) |tptp.'zero$b'|) (and (= A__questionmark_v0 |tptp.'zero$b'|) (= A__questionmark_v1 |tptp.'zero$b'|))))) (forall ((A__questionmark_v0 |tptp.'A_c_prod_ell2$'|) (A__questionmark_v1 |tptp.'A_c_prod_ell2_set$'|) (A__questionmark_v2 |tptp.'A_c_prod_ell2_b_d_prod_ell2_cblinfun$'|)) (=> (and (|tptp.'member$c'| A__questionmark_v0 (|tptp.'cspan$'| A__questionmark_v1)) (forall ((A__questionmark_v3 |tptp.'A_c_prod_ell2$'|)) (=> (|tptp.'member$c'| A__questionmark_v3 A__questionmark_v1) (= (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| A__questionmark_v2) A__questionmark_v3) |tptp.'zero$'|)))) (= (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| A__questionmark_v2) A__questionmark_v0) |tptp.'zero$'|))) (forall ((A__questionmark_v0 |tptp.'C_ell2_d_ell2_cblinfun_set$'|)) (= (|tptp.'image$b'| (|tptp.'fun_app$n'| |tptp.'plus$a'| |tptp.'zero$a'|) A__questionmark_v0) A__questionmark_v0)) (forall ((A__questionmark_v0 |tptp.'A_c_prod_ell2_b_d_prod_ell2_cblinfun_set$'|)) (= (|tptp.'image$c'| (|tptp.'fun_app$s'| |tptp.'plus$b'| |tptp.'zero$b'|) A__questionmark_v0) A__questionmark_v0)) (forall ((A__questionmark_v0 |tptp.'C_ell2_d_ell2_cblinfun$'|)) (= (|tptp.'fun_app$m'| (|tptp.'fun_app$n'| |tptp.'plus$a'| |tptp.'zero$a'|) A__questionmark_v0) A__questionmark_v0)) (forall ((A__questionmark_v0 |tptp.'A_c_prod_ell2_b_d_prod_ell2_cblinfun$'|)) (= (|tptp.'fun_app$r'| (|tptp.'fun_app$s'| |tptp.'plus$b'| |tptp.'zero$b'|) A__questionmark_v0) A__questionmark_v0)) (forall ((A__questionmark_v0 |tptp.'C_ell2_d_ell2_cblinfun$'|)) (= (|tptp.'fun_app$m'| (|tptp.'fun_app$n'| |tptp.'plus$a'| A__questionmark_v0) |tptp.'zero$a'|) A__questionmark_v0)) (forall ((A__questionmark_v0 |tptp.'A_c_prod_ell2_b_d_prod_ell2_cblinfun$'|)) (= (|tptp.'fun_app$r'| (|tptp.'fun_app$s'| |tptp.'plus$b'| A__questionmark_v0) |tptp.'zero$b'|) A__questionmark_v0)) (forall ((A__questionmark_v0 |tptp.'C_ell2_d_ell2_cblinfun$'|)) (= (|tptp.'fun_app$m'| (|tptp.'fun_app$n'| |tptp.'plus$a'| A__questionmark_v0) |tptp.'zero$a'|) A__questionmark_v0)) (forall ((A__questionmark_v0 |tptp.'A_c_prod_ell2_b_d_prod_ell2_cblinfun$'|)) (= (|tptp.'fun_app$r'| (|tptp.'fun_app$s'| |tptp.'plus$b'| A__questionmark_v0) |tptp.'zero$b'|) A__questionmark_v0)) (= (|tptp.'ccspan$'| _let_1) |tptp.'top$e'|) (forall ((A__questionmark_v0 |tptp.'A_c_prod_ell2_set$'|) (A__questionmark_v1 |tptp.'A_c_prod_ell2_b_d_prod_ell2_cblinfun$'|) (A__questionmark_v2 |tptp.'A_c_prod_ell2_b_d_prod_ell2_cblinfun$'|)) (=> (and (forall ((A__questionmark_v3 |tptp.'A_c_prod_ell2$'|)) (=> (|tptp.'member$c'| A__questionmark_v3 A__questionmark_v0) (= (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| A__questionmark_v1) A__questionmark_v3) (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| A__questionmark_v2) A__questionmark_v3)))) (= (|tptp.'ccspan$'| A__questionmark_v0) |tptp.'top$e'|)) (= A__questionmark_v1 A__questionmark_v2))) (forall ((A__questionmark_v0 |tptp.'A_c_prod$'|) (A__questionmark_v1 |tptp.'A_c_prod$'|)) (= (= (|tptp.'cinner$'| (|tptp.'fun_app$o'| |tptp.'ket$'| A__questionmark_v0) (|tptp.'fun_app$o'| |tptp.'ket$'| A__questionmark_v1)) |tptp.'zero$d'|) (not (= A__questionmark_v0 A__questionmark_v1)))) (forall ((A__questionmark_v0 |tptp.'A_c_prod_ell2$'|) (A__questionmark_v1 |tptp.'A_c_prod_ell2$'|)) (=> (forall ((A__questionmark_v2 |tptp.'A_c_prod$'|)) (let ((_let_1 (|tptp.'fun_app$o'| |tptp.'ket$'| A__questionmark_v2))) (= (|tptp.'cinner$'| _let_1 A__questionmark_v0) (|tptp.'cinner$'| _let_1 A__questionmark_v1)))) (= A__questionmark_v0 A__questionmark_v1))) (forall ((A__questionmark_v0 |tptp.'A_c_prod_ell2_set$'|) (A__questionmark_v1 |tptp.'A_c_prod_ell2_b_d_prod_ell2_cblinfun$'|)) (=> (and (= (|tptp.'ccspan$'| A__questionmark_v0) |tptp.'top$e'|) (forall ((A__questionmark_v2 |tptp.'A_c_prod_ell2$'|) (A__questionmark_v3 |tptp.'A_c_prod_ell2$'|)) (let ((_let_1 (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| A__questionmark_v1))) (=> (and (|tptp.'member$c'| A__questionmark_v2 A__questionmark_v0) (|tptp.'member$c'| A__questionmark_v3 A__questionmark_v0)) (= (|tptp.'cinner$a'| (|tptp.'fun_app$k'| _let_1 A__questionmark_v2) (|tptp.'fun_app$k'| _let_1 A__questionmark_v3)) (|tptp.'cinner$'| A__questionmark_v2 A__questionmark_v3)))))) (|tptp.'fun_app$e'| |tptp.'isometry$'| A__questionmark_v1))) (forall ((A__questionmark_v0 |tptp.'B_d_prod_ell2_a_c_prod_ell2_cblinfun$'|) (A__questionmark_v1 |tptp.'B_d_prod_ell2_a_c_prod_ell2_cblinfun$'|)) (let ((_let_1 (|tptp.'heterogenous_same_type_cblinfun$'| |tptp.'type$'| |tptp.'type$a'|))) (= (|tptp.'less_eq$e'| A__questionmark_v0 A__questionmark_v1) (and (=> _let_1 (forall ((A__questionmark_v2 |tptp.'A_c_prod_ell2$'|)) (|tptp.'less_eq$f'| |tptp.'zero$d'| (|tptp.'cinner$'| A__questionmark_v2 (|tptp.'fun_app$w'| (|tptp.'cblinfun_apply$s'| (|tptp.'minus$'| A__questionmark_v1 A__questionmark_v0)) (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| |tptp.'heterogenous_cblinfun_id$'|) A__questionmark_v2)))))) (=> (not _let_1) (= A__questionmark_v0 A__questionmark_v1)))))) (forall ((A__questionmark_v0 |tptp.'A_c_prod_ell2_b_d_prod_ell2_cblinfun$'|) (A__questionmark_v1 |tptp.'A_c_prod_ell2_b_d_prod_ell2_cblinfun$'|)) (let ((_let_1 (|tptp.'heterogenous_same_type_cblinfun$a'| |tptp.'type$a'| |tptp.'type$'|))) (= (|tptp.'fun_app$e'| (|tptp.'less_eq$a'| A__questionmark_v0) A__questionmark_v1) (and (=> _let_1 (forall ((A__questionmark_v2 |tptp.'B_d_prod_ell2$'|)) (|tptp.'less_eq$f'| |tptp.'zero$d'| (|tptp.'cinner$a'| A__questionmark_v2 (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| (|tptp.'minus$a'| A__questionmark_v1 A__questionmark_v0)) (|tptp.'fun_app$w'| (|tptp.'cblinfun_apply$s'| |tptp.'heterogenous_cblinfun_id$a'|) A__questionmark_v2)))))) (=> (not _let_1) (= A__questionmark_v0 A__questionmark_v1)))))) (forall ((A__questionmark_v0 |tptp.'C_ell2_d_ell2_cblinfun$'|) (A__questionmark_v1 |tptp.'C_ell2_d_ell2_cblinfun$'|)) (= (|tptp.'fun_app$m'| (|tptp.'minus$b'| (|tptp.'fun_app$m'| (|tptp.'fun_app$n'| |tptp.'plus$a'| A__questionmark_v0) A__questionmark_v1)) A__questionmark_v1) A__questionmark_v0)) (forall ((A__questionmark_v0 |tptp.'A_c_prod_ell2_b_d_prod_ell2_cblinfun$'|) (A__questionmark_v1 |tptp.'A_c_prod_ell2_b_d_prod_ell2_cblinfun$'|)) (= (|tptp.'minus$a'| (|tptp.'fun_app$r'| (|tptp.'fun_app$s'| |tptp.'plus$b'| A__questionmark_v0) A__questionmark_v1) A__questionmark_v1) A__questionmark_v0)) (forall ((A__questionmark_v0 |tptp.'C_ell2_d_ell2_cblinfun$'|) (A__questionmark_v1 |tptp.'C_ell2_d_ell2_cblinfun$'|) (A__questionmark_v2 |tptp.'C_ell2_d_ell2_cblinfun$'|)) (= (|tptp.'fun_app$m'| (|tptp.'minus$b'| (|tptp.'fun_app$m'| (|tptp.'fun_app$n'| |tptp.'plus$a'| A__questionmark_v0) A__questionmark_v1)) (|tptp.'fun_app$m'| (|tptp.'fun_app$n'| |tptp.'plus$a'| A__questionmark_v2) A__questionmark_v1)) (|tptp.'fun_app$m'| (|tptp.'minus$b'| A__questionmark_v0) A__questionmark_v2))) (forall ((A__questionmark_v0 |tptp.'A_c_prod_ell2_b_d_prod_ell2_cblinfun$'|) (A__questionmark_v1 |tptp.'A_c_prod_ell2_b_d_prod_ell2_cblinfun$'|) (A__questionmark_v2 |tptp.'A_c_prod_ell2_b_d_prod_ell2_cblinfun$'|)) (= (|tptp.'minus$a'| (|tptp.'fun_app$r'| (|tptp.'fun_app$s'| |tptp.'plus$b'| A__questionmark_v0) A__questionmark_v1) (|tptp.'fun_app$r'| (|tptp.'fun_app$s'| |tptp.'plus$b'| A__questionmark_v2) A__questionmark_v1)) (|tptp.'minus$a'| A__questionmark_v0 A__questionmark_v2))) (forall ((A__questionmark_v0 |tptp.'C_ell2_d_ell2_cblinfun$'|) (A__questionmark_v1 |tptp.'C_ell2_d_ell2_cblinfun$'|)) (= (|tptp.'fun_app$m'| (|tptp.'minus$b'| (|tptp.'fun_app$m'| (|tptp.'fun_app$n'| |tptp.'plus$a'| A__questionmark_v0) A__questionmark_v1)) A__questionmark_v0) A__questionmark_v1)) (forall ((A__questionmark_v0 |tptp.'A_c_prod_ell2_b_d_prod_ell2_cblinfun$'|) (A__questionmark_v1 |tptp.'A_c_prod_ell2_b_d_prod_ell2_cblinfun$'|)) (= (|tptp.'minus$a'| (|tptp.'fun_app$r'| (|tptp.'fun_app$s'| |tptp.'plus$b'| A__questionmark_v0) A__questionmark_v1) A__questionmark_v0) A__questionmark_v1)) (forall ((A__questionmark_v0 |tptp.'C_ell2_d_ell2_cblinfun$'|) (A__questionmark_v1 |tptp.'C_ell2_d_ell2_cblinfun$'|) (A__questionmark_v2 |tptp.'C_ell2_d_ell2_cblinfun$'|)) (let ((_let_1 (|tptp.'fun_app$n'| |tptp.'plus$a'| A__questionmark_v0))) (= (|tptp.'fun_app$m'| (|tptp.'minus$b'| (|tptp.'fun_app$m'| _let_1 A__questionmark_v1)) (|tptp.'fun_app$m'| _let_1 A__questionmark_v2)) (|tptp.'fun_app$m'| (|tptp.'minus$b'| A__questionmark_v1) A__questionmark_v2)))) (forall ((A__questionmark_v0 |tptp.'A_c_prod_ell2_b_d_prod_ell2_cblinfun$'|) (A__questionmark_v1 |tptp.'A_c_prod_ell2_b_d_prod_ell2_cblinfun$'|) (A__questionmark_v2 |tptp.'A_c_prod_ell2_b_d_prod_ell2_cblinfun$'|)) (let ((_let_1 (|tptp.'fun_app$s'| |tptp.'plus$b'| A__questionmark_v0))) (= (|tptp.'minus$a'| (|tptp.'fun_app$r'| _let_1 A__questionmark_v1) (|tptp.'fun_app$r'| _let_1 A__questionmark_v2)) (|tptp.'minus$a'| A__questionmark_v1 A__questionmark_v2)))) (forall ((A__questionmark_v0 |tptp.'C_ell2_d_ell2_cblinfun$'|) (A__questionmark_v1 |tptp.'C_ell2_d_ell2_cblinfun$'|)) (= (|tptp.'fun_app$m'| (|tptp.'fun_app$n'| |tptp.'plus$a'| (|tptp.'fun_app$m'| (|tptp.'minus$b'| A__questionmark_v0) A__questionmark_v1)) A__questionmark_v1) A__questionmark_v0)) (forall ((A__questionmark_v0 |tptp.'A_c_prod_ell2_b_d_prod_ell2_cblinfun$'|) (A__questionmark_v1 |tptp.'A_c_prod_ell2_b_d_prod_ell2_cblinfun$'|)) (= (|tptp.'fun_app$r'| (|tptp.'fun_app$s'| |tptp.'plus$b'| (|tptp.'minus$a'| A__questionmark_v0 A__questionmark_v1)) A__questionmark_v1) A__questionmark_v0)) (forall ((A__questionmark_v0 |tptp.'C_ell2_d_ell2_cblinfun$'|) (A__questionmark_v1 |tptp.'C_ell2_d_ell2_cblinfun$'|)) (= (|tptp.'fun_app$m'| (|tptp.'minus$b'| (|tptp.'fun_app$m'| (|tptp.'fun_app$n'| |tptp.'plus$a'| A__questionmark_v0) A__questionmark_v1)) A__questionmark_v1) A__questionmark_v0)) (forall ((A__questionmark_v0 |tptp.'A_c_prod_ell2_b_d_prod_ell2_cblinfun$'|) (A__questionmark_v1 |tptp.'A_c_prod_ell2_b_d_prod_ell2_cblinfun$'|)) (= (|tptp.'minus$a'| (|tptp.'fun_app$r'| (|tptp.'fun_app$s'| |tptp.'plus$b'| A__questionmark_v0) A__questionmark_v1) A__questionmark_v1) A__questionmark_v0)) (forall ((A__questionmark_v0 |tptp.'A_c_prod_ell2_b_d_prod_ell2_cblinfun$'|) (A__questionmark_v1 |tptp.'A_c_prod_ell2$'|) (A__questionmark_v2 |tptp.'A_c_prod_ell2_b_d_prod_ell2_cblinfun$'|) (A__questionmark_v3 |tptp.'A_c_prod_ell2$'|)) (let ((_let_1 (|tptp.'minus$d'| A__questionmark_v1 A__questionmark_v3))) (let ((_let_2 (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| A__questionmark_v2))) (let ((_let_3 (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| (|tptp.'minus$a'| A__questionmark_v0 A__questionmark_v2)))) (= (|tptp.'minus$c'| (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| A__questionmark_v0) A__questionmark_v1) (|tptp.'fun_app$k'| _let_2 A__questionmark_v3)) (|tptp.'plus$u'| (|tptp.'plus$u'| (|tptp.'fun_app$k'| _let_3 _let_1) (|tptp.'fun_app$k'| _let_3 A__questionmark_v3)) (|tptp.'fun_app$k'| _let_2 _let_1))))))) (forall ((A__questionmark_v0 |tptp.'A_c_prod_ell2_b_d_prod_ell2_cblinfun$'|) (A__questionmark_v1 |tptp.'A_c_prod_ell2_b_d_prod_ell2_cblinfun$'|) (A__questionmark_v2 |tptp.'A_c_prod_ell2$'|)) (= (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| (|tptp.'minus$a'| A__questionmark_v0 A__questionmark_v1)) A__questionmark_v2) (|tptp.'minus$c'| (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| A__questionmark_v0) A__questionmark_v2) (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| A__questionmark_v1) A__questionmark_v2)))) (forall ((A__questionmark_v0 |tptp.'A_c_prod_ell2_b_d_prod_ell2_cblinfun$'|) (A__questionmark_v1 |tptp.'A_c_prod_ell2_b_d_prod_ell2_cblinfun$'|) (A__questionmark_v2 |tptp.'A_c_prod_ell2$'|)) (= (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| (|tptp.'minus$a'| A__questionmark_v0 A__questionmark_v1)) A__questionmark_v2) (|tptp.'minus$c'| (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| A__questionmark_v0) A__questionmark_v2) (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| A__questionmark_v1) A__questionmark_v2)))) (forall ((A__questionmark_v0 |tptp.'A_c_prod_ell2_b_d_prod_ell2_cblinfun$'|) (A__questionmark_v1 |tptp.'A_c_prod_ell2$'|) (A__questionmark_v2 |tptp.'A_c_prod_ell2$'|)) (let ((_let_1 (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| A__questionmark_v0))) (= (|tptp.'fun_app$k'| _let_1 (|tptp.'minus$d'| A__questionmark_v1 A__questionmark_v2)) (|tptp.'minus$c'| (|tptp.'fun_app$k'| _let_1 A__questionmark_v1) (|tptp.'fun_app$k'| _let_1 A__questionmark_v2))))) (forall ((A__questionmark_v0 |tptp.'C_ell2_d_ell2_cblinfun$'|) (A__questionmark_v1 |tptp.'C_ell2_d_ell2_cblinfun$'|) (A__questionmark_v2 |tptp.'C_ell2_d_ell2_cblinfun$'|)) (let ((_let_1 (|tptp.'minus$b'| A__questionmark_v0))) (= (|tptp.'fun_app$m'| (|tptp.'minus$b'| (|tptp.'fun_app$m'| _let_1 A__questionmark_v1)) A__questionmark_v2) (|tptp.'fun_app$m'| _let_1 (|tptp.'fun_app$m'| (|tptp.'fun_app$n'| |tptp.'plus$a'| A__questionmark_v1) A__questionmark_v2))))) (forall ((A__questionmark_v0 |tptp.'A_c_prod_ell2_b_d_prod_ell2_cblinfun$'|) (A__questionmark_v1 |tptp.'A_c_prod_ell2_b_d_prod_ell2_cblinfun$'|) (A__questionmark_v2 |tptp.'A_c_prod_ell2_b_d_prod_ell2_cblinfun$'|)) (= (|tptp.'minus$a'| (|tptp.'minus$a'| A__questionmark_v0 A__questionmark_v1) A__questionmark_v2) (|tptp.'minus$a'| A__questionmark_v0 (|tptp.'fun_app$r'| (|tptp.'fun_app$s'| |tptp.'plus$b'| A__questionmark_v1) A__questionmark_v2)))) (forall ((A__questionmark_v0 |tptp.'C_ell2_d_ell2_cblinfun$'|) (A__questionmark_v1 |tptp.'C_ell2_d_ell2_cblinfun$'|) (A__questionmark_v2 |tptp.'C_ell2_d_ell2_cblinfun$'|)) (=> (= (|tptp.'fun_app$m'| (|tptp.'fun_app$n'| |tptp.'plus$a'| A__questionmark_v0) A__questionmark_v1) A__questionmark_v2) (= A__questionmark_v0 (|tptp.'fun_app$m'| (|tptp.'minus$b'| A__questionmark_v2) A__questionmark_v1)))) (forall ((A__questionmark_v0 |tptp.'A_c_prod_ell2_b_d_prod_ell2_cblinfun$'|) (A__questionmark_v1 |tptp.'A_c_prod_ell2_b_d_prod_ell2_cblinfun$'|) (A__questionmark_v2 |tptp.'A_c_prod_ell2_b_d_prod_ell2_cblinfun$'|)) (=> (= (|tptp.'fun_app$r'| (|tptp.'fun_app$s'| |tptp.'plus$b'| A__questionmark_v0) A__questionmark_v1) A__questionmark_v2) (= A__questionmark_v0 (|tptp.'minus$a'| A__questionmark_v2 A__questionmark_v1)))) (forall ((A__questionmark_v0 |tptp.'C_ell2_d_ell2_cblinfun$'|) (A__questionmark_v1 |tptp.'C_ell2_d_ell2_cblinfun$'|) (A__questionmark_v2 |tptp.'C_ell2_d_ell2_cblinfun$'|)) (let ((_let_1 (|tptp.'minus$b'| A__questionmark_v0))) (= (|tptp.'fun_app$m'| _let_1 (|tptp.'fun_app$m'| (|tptp.'fun_app$n'| |tptp.'plus$a'| A__questionmark_v1) A__questionmark_v2)) (|tptp.'fun_app$m'| (|tptp.'minus$b'| (|tptp.'fun_app$m'| _let_1 A__questionmark_v2)) A__questionmark_v1)))) (forall ((A__questionmark_v0 |tptp.'A_c_prod_ell2_b_d_prod_ell2_cblinfun$'|) (A__questionmark_v1 |tptp.'A_c_prod_ell2_b_d_prod_ell2_cblinfun$'|) (A__questionmark_v2 |tptp.'A_c_prod_ell2_b_d_prod_ell2_cblinfun$'|)) (= (|tptp.'minus$a'| A__questionmark_v0 (|tptp.'fun_app$r'| (|tptp.'fun_app$s'| |tptp.'plus$b'| A__questionmark_v1) A__questionmark_v2)) (|tptp.'minus$a'| (|tptp.'minus$a'| A__questionmark_v0 A__questionmark_v2) A__questionmark_v1))) (forall ((A__questionmark_v0 |tptp.'C_ell2_d_ell2_cblinfun$'|) (A__questionmark_v1 |tptp.'C_ell2_d_ell2_cblinfun$'|) (A__questionmark_v2 |tptp.'C_ell2_d_ell2_cblinfun$'|)) (= (|tptp.'fun_app$m'| (|tptp.'fun_app$n'| |tptp.'plus$a'| (|tptp.'fun_app$m'| (|tptp.'minus$b'| A__questionmark_v0) A__questionmark_v1)) A__questionmark_v2) (|tptp.'fun_app$m'| (|tptp.'minus$b'| (|tptp.'fun_app$m'| (|tptp.'fun_app$n'| |tptp.'plus$a'| A__questionmark_v0) A__questionmark_v2)) A__questionmark_v1))) (forall ((A__questionmark_v0 |tptp.'A_c_prod_ell2_b_d_prod_ell2_cblinfun$'|) (A__questionmark_v1 |tptp.'A_c_prod_ell2_b_d_prod_ell2_cblinfun$'|) (A__questionmark_v2 |tptp.'A_c_prod_ell2_b_d_prod_ell2_cblinfun$'|)) (= (|tptp.'fun_app$r'| (|tptp.'fun_app$s'| |tptp.'plus$b'| (|tptp.'minus$a'| A__questionmark_v0 A__questionmark_v1)) A__questionmark_v2) (|tptp.'minus$a'| (|tptp.'fun_app$r'| (|tptp.'fun_app$s'| |tptp.'plus$b'| A__questionmark_v0) A__questionmark_v2) A__questionmark_v1))) (forall ((A__questionmark_v0 |tptp.'C_ell2_d_ell2_cblinfun$'|) (A__questionmark_v1 |tptp.'C_ell2_d_ell2_cblinfun$'|) (A__questionmark_v2 |tptp.'C_ell2_d_ell2_cblinfun$'|)) (= (|tptp.'fun_app$m'| (|tptp.'minus$b'| A__questionmark_v0) (|tptp.'fun_app$m'| (|tptp.'minus$b'| A__questionmark_v1) A__questionmark_v2)) (|tptp.'fun_app$m'| (|tptp.'minus$b'| (|tptp.'fun_app$m'| (|tptp.'fun_app$n'| |tptp.'plus$a'| A__questionmark_v0) A__questionmark_v2)) A__questionmark_v1))) (forall ((A__questionmark_v0 |tptp.'A_c_prod_ell2_b_d_prod_ell2_cblinfun$'|) (A__questionmark_v1 |tptp.'A_c_prod_ell2_b_d_prod_ell2_cblinfun$'|) (A__questionmark_v2 |tptp.'A_c_prod_ell2_b_d_prod_ell2_cblinfun$'|)) (= (|tptp.'minus$a'| A__questionmark_v0 (|tptp.'minus$a'| A__questionmark_v1 A__questionmark_v2)) (|tptp.'minus$a'| (|tptp.'fun_app$r'| (|tptp.'fun_app$s'| |tptp.'plus$b'| A__questionmark_v0) A__questionmark_v2) A__questionmark_v1))) (forall ((A__questionmark_v0 |tptp.'C_ell2_d_ell2_cblinfun$'|) (A__questionmark_v1 |tptp.'C_ell2_d_ell2_cblinfun$'|) (A__questionmark_v2 |tptp.'C_ell2_d_ell2_cblinfun$'|)) (let ((_let_1 (|tptp.'fun_app$n'| |tptp.'plus$a'| A__questionmark_v0))) (= (|tptp.'fun_app$m'| _let_1 (|tptp.'fun_app$m'| (|tptp.'minus$b'| A__questionmark_v1) A__questionmark_v2)) (|tptp.'fun_app$m'| (|tptp.'minus$b'| (|tptp.'fun_app$m'| _let_1 A__questionmark_v1)) A__questionmark_v2)))) (forall ((A__questionmark_v0 |tptp.'A_c_prod_ell2_b_d_prod_ell2_cblinfun$'|) (A__questionmark_v1 |tptp.'A_c_prod_ell2_b_d_prod_ell2_cblinfun$'|) (A__questionmark_v2 |tptp.'A_c_prod_ell2_b_d_prod_ell2_cblinfun$'|)) (let ((_let_1 (|tptp.'fun_app$s'| |tptp.'plus$b'| A__questionmark_v0))) (= (|tptp.'fun_app$r'| _let_1 (|tptp.'minus$a'| A__questionmark_v1 A__questionmark_v2)) (|tptp.'minus$a'| (|tptp.'fun_app$r'| _let_1 A__questionmark_v1) A__questionmark_v2)))) (forall ((A__questionmark_v0 |tptp.'C_ell2_d_ell2_cblinfun$'|) (A__questionmark_v1 |tptp.'C_ell2_d_ell2_cblinfun$'|) (A__questionmark_v2 |tptp.'C_ell2_d_ell2_cblinfun$'|)) (= (= A__questionmark_v0 (|tptp.'fun_app$m'| (|tptp.'minus$b'| A__questionmark_v1) A__questionmark_v2)) (= (|tptp.'fun_app$m'| (|tptp.'fun_app$n'| |tptp.'plus$a'| A__questionmark_v0) A__questionmark_v2) A__questionmark_v1))) (forall ((A__questionmark_v0 |tptp.'A_c_prod_ell2_b_d_prod_ell2_cblinfun$'|) (A__questionmark_v1 |tptp.'A_c_prod_ell2_b_d_prod_ell2_cblinfun$'|) (A__questionmark_v2 |tptp.'A_c_prod_ell2_b_d_prod_ell2_cblinfun$'|)) (= (= A__questionmark_v0 (|tptp.'minus$a'| A__questionmark_v1 A__questionmark_v2)) (= (|tptp.'fun_app$r'| (|tptp.'fun_app$s'| |tptp.'plus$b'| A__questionmark_v0) A__questionmark_v2) A__questionmark_v1))) (forall ((A__questionmark_v0 |tptp.'C_ell2_d_ell2_cblinfun$'|) (A__questionmark_v1 |tptp.'C_ell2_d_ell2_cblinfun$'|) (A__questionmark_v2 |tptp.'C_ell2_d_ell2_cblinfun$'|)) (= (= (|tptp.'fun_app$m'| (|tptp.'minus$b'| A__questionmark_v0) A__questionmark_v1) A__questionmark_v2) (= A__questionmark_v0 (|tptp.'fun_app$m'| (|tptp.'fun_app$n'| |tptp.'plus$a'| A__questionmark_v2) A__questionmark_v1)))) (forall ((A__questionmark_v0 |tptp.'A_c_prod_ell2_b_d_prod_ell2_cblinfun$'|) (A__questionmark_v1 |tptp.'A_c_prod_ell2_b_d_prod_ell2_cblinfun$'|) (A__questionmark_v2 |tptp.'A_c_prod_ell2_b_d_prod_ell2_cblinfun$'|)) (= (= (|tptp.'minus$a'| A__questionmark_v0 A__questionmark_v1) A__questionmark_v2) (= A__questionmark_v0 (|tptp.'fun_app$r'| (|tptp.'fun_app$s'| |tptp.'plus$b'| A__questionmark_v2) A__questionmark_v1)))) (forall ((A__questionmark_v0 |tptp.'C_ell2_d_ell2_cblinfun$'|) (A__questionmark_v1 |tptp.'C_ell2_d_ell2_cblinfun$'|) (A__questionmark_v2 |tptp.'C_ell2_d_ell2_cblinfun$'|) (A__questionmark_v3 |tptp.'C_ell2_d_ell2_cblinfun$'|)) (let ((_let_1 (|tptp.'fun_app$n'| |tptp.'plus$a'| A__questionmark_v1))) (=> (= A__questionmark_v0 (|tptp.'fun_app$m'| _let_1 A__questionmark_v2)) (= (|tptp.'fun_app$m'| (|tptp.'minus$b'| A__questionmark_v0) A__questionmark_v3) (|tptp.'fun_app$m'| _let_1 (|tptp.'fun_app$m'| (|tptp.'minus$b'| A__questionmark_v2) A__questionmark_v3)))))) (forall ((A__questionmark_v0 |tptp.'A_c_prod_ell2_b_d_prod_ell2_cblinfun$'|) (A__questionmark_v1 |tptp.'A_c_prod_ell2_b_d_prod_ell2_cblinfun$'|) (A__questionmark_v2 |tptp.'A_c_prod_ell2_b_d_prod_ell2_cblinfun$'|) (A__questionmark_v3 |tptp.'A_c_prod_ell2_b_d_prod_ell2_cblinfun$'|)) (let ((_let_1 (|tptp.'fun_app$s'| |tptp.'plus$b'| A__questionmark_v1))) (=> (= A__questionmark_v0 (|tptp.'fun_app$r'| _let_1 A__questionmark_v2)) (= (|tptp.'minus$a'| A__questionmark_v0 A__questionmark_v3) (|tptp.'fun_app$r'| _let_1 (|tptp.'minus$a'| A__questionmark_v2 A__questionmark_v3)))))) (forall ((A__questionmark_v0 |tptp.'C_ell2_d_ell2_cblinfun$'|) (A__questionmark_v1 |tptp.'C_ell2_d_ell2_cblinfun$'|) (A__questionmark_v2 |tptp.'C_ell2_d_ell2_cblinfun$'|)) (let ((_let_1 (|tptp.'minus$b'| A__questionmark_v0))) (= (|tptp.'fun_app$m'| (|tptp.'minus$b'| (|tptp.'fun_app$m'| _let_1 A__questionmark_v1)) A__questionmark_v2) (|tptp.'fun_app$m'| _let_1 (|tptp.'fun_app$m'| (|tptp.'fun_app$n'| |tptp.'plus$a'| A__questionmark_v1) A__questionmark_v2))))) (forall ((A__questionmark_v0 |tptp.'A_c_prod_ell2_b_d_prod_ell2_cblinfun$'|) (A__questionmark_v1 |tptp.'A_c_prod_ell2_b_d_prod_ell2_cblinfun$'|) (A__questionmark_v2 |tptp.'A_c_prod_ell2_b_d_prod_ell2_cblinfun$'|)) (= (|tptp.'minus$a'| (|tptp.'minus$a'| A__questionmark_v0 A__questionmark_v1) A__questionmark_v2) (|tptp.'minus$a'| A__questionmark_v0 (|tptp.'fun_app$r'| (|tptp.'fun_app$s'| |tptp.'plus$b'| A__questionmark_v1) A__questionmark_v2)))) (forall ((A__questionmark_v0 |tptp.'C_ell2_d_ell2_cblinfun$'|) (A__questionmark_v1 |tptp.'C_ell2_d_ell2_cblinfun$'|) (A__questionmark_v2 |tptp.'C_ell2_d_ell2_cblinfun$'|)) (let ((_let_1 (|tptp.'fun_app$n'| |tptp.'plus$a'| A__questionmark_v0))) (= (|tptp.'fun_app$m'| _let_1 (|tptp.'fun_app$m'| (|tptp.'minus$b'| A__questionmark_v1) A__questionmark_v2)) (|tptp.'fun_app$m'| (|tptp.'minus$b'| (|tptp.'fun_app$m'| _let_1 A__questionmark_v1)) A__questionmark_v2)))) (forall ((A__questionmark_v0 |tptp.'A_c_prod_ell2_b_d_prod_ell2_cblinfun$'|) (A__questionmark_v1 |tptp.'A_c_prod_ell2_b_d_prod_ell2_cblinfun$'|) (A__questionmark_v2 |tptp.'A_c_prod_ell2_b_d_prod_ell2_cblinfun$'|)) (let ((_let_1 (|tptp.'fun_app$s'| |tptp.'plus$b'| A__questionmark_v0))) (= (|tptp.'fun_app$r'| _let_1 (|tptp.'minus$a'| A__questionmark_v1 A__questionmark_v2)) (|tptp.'minus$a'| (|tptp.'fun_app$r'| _let_1 A__questionmark_v1) A__questionmark_v2)))) (forall ((A__questionmark_v0 |tptp.'C_ell2_d_ell2_cblinfun$'|) (A__questionmark_v1 |tptp.'C_ell2_d_ell2_cblinfun$'|) (A__questionmark_v2 |tptp.'C_ell2_d_ell2_cblinfun$'|)) (= (= (|tptp.'fun_app$m'| (|tptp.'minus$b'| A__questionmark_v0) A__questionmark_v1) A__questionmark_v2) (= A__questionmark_v0 (|tptp.'fun_app$m'| (|tptp.'fun_app$n'| |tptp.'plus$a'| A__questionmark_v2) A__questionmark_v1)))) (forall ((A__questionmark_v0 |tptp.'A_c_prod_ell2_b_d_prod_ell2_cblinfun$'|) (A__questionmark_v1 |tptp.'A_c_prod_ell2_b_d_prod_ell2_cblinfun$'|) (A__questionmark_v2 |tptp.'A_c_prod_ell2_b_d_prod_ell2_cblinfun$'|)) (= (= (|tptp.'minus$a'| A__questionmark_v0 A__questionmark_v1) A__questionmark_v2) (= A__questionmark_v0 (|tptp.'fun_app$r'| (|tptp.'fun_app$s'| |tptp.'plus$b'| A__questionmark_v2) A__questionmark_v1)))) (forall ((A__questionmark_v0 |tptp.'C_ell2_d_ell2_cblinfun$'|) (A__questionmark_v1 |tptp.'C_ell2_d_ell2_cblinfun$'|) (A__questionmark_v2 |tptp.'C_ell2_d_ell2_cblinfun$'|)) (= (= A__questionmark_v0 (|tptp.'fun_app$m'| (|tptp.'minus$b'| A__questionmark_v1) A__questionmark_v2)) (= (|tptp.'fun_app$m'| (|tptp.'fun_app$n'| |tptp.'plus$a'| A__questionmark_v0) A__questionmark_v2) A__questionmark_v1))) (forall ((A__questionmark_v0 |tptp.'A_c_prod_ell2_b_d_prod_ell2_cblinfun$'|) (A__questionmark_v1 |tptp.'A_c_prod_ell2_b_d_prod_ell2_cblinfun$'|) (A__questionmark_v2 |tptp.'A_c_prod_ell2_b_d_prod_ell2_cblinfun$'|)) (= (= A__questionmark_v0 (|tptp.'minus$a'| A__questionmark_v1 A__questionmark_v2)) (= (|tptp.'fun_app$r'| (|tptp.'fun_app$s'| |tptp.'plus$b'| A__questionmark_v0) A__questionmark_v2) A__questionmark_v1))) (forall ((A__questionmark_v0 |tptp.'C_ell2_d_ell2_cblinfun$'|) (A__questionmark_v1 |tptp.'C_ell2_d_ell2_cblinfun$'|) (A__questionmark_v2 |tptp.'C_ell2_d_ell2_cblinfun$'|)) (= (|tptp.'fun_app$m'| (|tptp.'minus$b'| A__questionmark_v0) (|tptp.'fun_app$m'| (|tptp.'minus$b'| A__questionmark_v1) A__questionmark_v2)) (|tptp.'fun_app$m'| (|tptp.'minus$b'| (|tptp.'fun_app$m'| (|tptp.'fun_app$n'| |tptp.'plus$a'| A__questionmark_v0) A__questionmark_v2)) A__questionmark_v1))) (forall ((A__questionmark_v0 |tptp.'A_c_prod_ell2_b_d_prod_ell2_cblinfun$'|) (A__questionmark_v1 |tptp.'A_c_prod_ell2_b_d_prod_ell2_cblinfun$'|) (A__questionmark_v2 |tptp.'A_c_prod_ell2_b_d_prod_ell2_cblinfun$'|)) (= (|tptp.'minus$a'| A__questionmark_v0 (|tptp.'minus$a'| A__questionmark_v1 A__questionmark_v2)) (|tptp.'minus$a'| (|tptp.'fun_app$r'| (|tptp.'fun_app$s'| |tptp.'plus$b'| A__questionmark_v0) A__questionmark_v2) A__questionmark_v1))) (forall ((A__questionmark_v0 |tptp.'C_ell2_d_ell2_cblinfun$'|) (A__questionmark_v1 |tptp.'C_ell2_d_ell2_cblinfun$'|) (A__questionmark_v2 |tptp.'C_ell2_d_ell2_cblinfun$'|)) (= (|tptp.'fun_app$m'| (|tptp.'fun_app$n'| |tptp.'plus$a'| (|tptp.'fun_app$m'| (|tptp.'minus$b'| A__questionmark_v0) A__questionmark_v1)) A__questionmark_v2) (|tptp.'fun_app$m'| (|tptp.'minus$b'| (|tptp.'fun_app$m'| (|tptp.'fun_app$n'| |tptp.'plus$a'| A__questionmark_v0) A__questionmark_v2)) A__questionmark_v1))) (forall ((A__questionmark_v0 |tptp.'A_c_prod_ell2_b_d_prod_ell2_cblinfun$'|) (A__questionmark_v1 |tptp.'A_c_prod_ell2_b_d_prod_ell2_cblinfun$'|) (A__questionmark_v2 |tptp.'A_c_prod_ell2_b_d_prod_ell2_cblinfun$'|)) (= (|tptp.'fun_app$r'| (|tptp.'fun_app$s'| |tptp.'plus$b'| (|tptp.'minus$a'| A__questionmark_v0 A__questionmark_v1)) A__questionmark_v2) (|tptp.'minus$a'| (|tptp.'fun_app$r'| (|tptp.'fun_app$s'| |tptp.'plus$b'| A__questionmark_v0) A__questionmark_v2) A__questionmark_v1))) (forall ((A__questionmark_v0 |tptp.'C_ell2_d_ell2_cblinfun$'|) (A__questionmark_v1 |tptp.'C_ell2_d_ell2_cblinfun$'|) (A__questionmark_v2 |tptp.'C_ell2_d_ell2_cblinfun$'|)) (= (|tptp.'fun_app$g'| (|tptp.'fun_app$h'| |tptp.'less_eq$'| A__questionmark_v0) (|tptp.'fun_app$m'| (|tptp.'minus$b'| A__questionmark_v1) A__questionmark_v2)) (|tptp.'fun_app$g'| (|tptp.'fun_app$h'| |tptp.'less_eq$'| (|tptp.'fun_app$m'| (|tptp.'fun_app$n'| |tptp.'plus$a'| A__questionmark_v0) A__questionmark_v2)) A__questionmark_v1))) (forall ((A__questionmark_v0 |tptp.'A_c_prod_ell2_b_d_prod_ell2_cblinfun$'|) (A__questionmark_v1 |tptp.'A_c_prod_ell2_b_d_prod_ell2_cblinfun$'|) (A__questionmark_v2 |tptp.'A_c_prod_ell2_b_d_prod_ell2_cblinfun$'|)) (= (|tptp.'fun_app$e'| (|tptp.'less_eq$a'| A__questionmark_v0) (|tptp.'minus$a'| A__questionmark_v1 A__questionmark_v2)) (|tptp.'fun_app$e'| (|tptp.'less_eq$a'| (|tptp.'fun_app$r'| (|tptp.'fun_app$s'| |tptp.'plus$b'| A__questionmark_v0) A__questionmark_v2)) A__questionmark_v1))) (forall ((A__questionmark_v0 |tptp.'C_ell2_d_ell2_cblinfun$'|) (A__questionmark_v1 |tptp.'C_ell2_d_ell2_cblinfun$'|) (A__questionmark_v2 |tptp.'C_ell2_d_ell2_cblinfun$'|)) (= (|tptp.'fun_app$g'| (|tptp.'fun_app$h'| |tptp.'less_eq$'| (|tptp.'fun_app$m'| (|tptp.'minus$b'| A__questionmark_v0) A__questionmark_v1)) A__questionmark_v2) (|tptp.'fun_app$g'| (|tptp.'fun_app$h'| |tptp.'less_eq$'| A__questionmark_v0) (|tptp.'fun_app$m'| (|tptp.'fun_app$n'| |tptp.'plus$a'| A__questionmark_v2) A__questionmark_v1)))) (forall ((A__questionmark_v0 |tptp.'A_c_prod_ell2_b_d_prod_ell2_cblinfun$'|) (A__questionmark_v1 |tptp.'A_c_prod_ell2_b_d_prod_ell2_cblinfun$'|) (A__questionmark_v2 |tptp.'A_c_prod_ell2_b_d_prod_ell2_cblinfun$'|)) (= (|tptp.'fun_app$e'| (|tptp.'less_eq$a'| (|tptp.'minus$a'| A__questionmark_v0 A__questionmark_v1)) A__questionmark_v2) (|tptp.'fun_app$e'| (|tptp.'less_eq$a'| A__questionmark_v0) (|tptp.'fun_app$r'| (|tptp.'fun_app$s'| |tptp.'plus$b'| A__questionmark_v2) A__questionmark_v1)))) (forall ((A__questionmark_v0 |tptp.'C_ell2_d_ell2_cblinfun$'|) (A__questionmark_v1 |tptp.'C_ell2_d_ell2_cblinfun$'|) (A__questionmark_v2 |tptp.'C_ell2_d_ell2_cblinfun$'|)) (= (|tptp.'fun_app$g'| (|tptp.'fun_app$h'| |tptp.'less_eq$'| A__questionmark_v0) (|tptp.'fun_app$m'| (|tptp.'minus$b'| A__questionmark_v1) A__questionmark_v2)) (|tptp.'fun_app$g'| (|tptp.'fun_app$h'| |tptp.'less_eq$'| (|tptp.'fun_app$m'| (|tptp.'fun_app$n'| |tptp.'plus$a'| A__questionmark_v0) A__questionmark_v2)) A__questionmark_v1))) (forall ((A__questionmark_v0 |tptp.'A_c_prod_ell2_b_d_prod_ell2_cblinfun$'|) (A__questionmark_v1 |tptp.'A_c_prod_ell2_b_d_prod_ell2_cblinfun$'|) (A__questionmark_v2 |tptp.'A_c_prod_ell2_b_d_prod_ell2_cblinfun$'|)) (= (|tptp.'fun_app$e'| (|tptp.'less_eq$a'| A__questionmark_v0) (|tptp.'minus$a'| A__questionmark_v1 A__questionmark_v2)) (|tptp.'fun_app$e'| (|tptp.'less_eq$a'| (|tptp.'fun_app$r'| (|tptp.'fun_app$s'| |tptp.'plus$b'| A__questionmark_v0) A__questionmark_v2)) A__questionmark_v1))) (forall ((A__questionmark_v0 |tptp.'C_ell2_d_ell2_cblinfun$'|) (A__questionmark_v1 |tptp.'C_ell2_d_ell2_cblinfun$'|) (A__questionmark_v2 |tptp.'C_ell2_d_ell2_cblinfun$'|)) (= (|tptp.'fun_app$g'| (|tptp.'fun_app$h'| |tptp.'less_eq$'| (|tptp.'fun_app$m'| (|tptp.'minus$b'| A__questionmark_v0) A__questionmark_v1)) A__questionmark_v2) (|tptp.'fun_app$g'| (|tptp.'fun_app$h'| |tptp.'less_eq$'| A__questionmark_v0) (|tptp.'fun_app$m'| (|tptp.'fun_app$n'| |tptp.'plus$a'| A__questionmark_v2) A__questionmark_v1)))) (forall ((A__questionmark_v0 |tptp.'A_c_prod_ell2_b_d_prod_ell2_cblinfun$'|) (A__questionmark_v1 |tptp.'A_c_prod_ell2_b_d_prod_ell2_cblinfun$'|) (A__questionmark_v2 |tptp.'A_c_prod_ell2_b_d_prod_ell2_cblinfun$'|)) (= (|tptp.'fun_app$e'| (|tptp.'less_eq$a'| (|tptp.'minus$a'| A__questionmark_v0 A__questionmark_v1)) A__questionmark_v2) (|tptp.'fun_app$e'| (|tptp.'less_eq$a'| A__questionmark_v0) (|tptp.'fun_app$r'| (|tptp.'fun_app$s'| |tptp.'plus$b'| A__questionmark_v2) A__questionmark_v1)))) (forall ((A__questionmark_v0 |tptp.'C_ell2_d_ell2_cblinfun$'|) (A__questionmark_v1 |tptp.'C_ell2_d_ell2_cblinfun_set$'|) (A__questionmark_v2 |tptp.'C_ell2_d_ell2_cblinfun_set$'|)) (let ((_let_1 (|tptp.'fun_app$n'| |tptp.'plus$a'| A__questionmark_v0))) (= (|tptp.'image$b'| _let_1 (|tptp.'minus$e'| A__questionmark_v1 A__questionmark_v2)) (|tptp.'minus$e'| (|tptp.'image$b'| _let_1 A__questionmark_v1) (|tptp.'image$b'| _let_1 A__questionmark_v2))))) (forall ((A__questionmark_v0 |tptp.'A_c_prod_ell2_b_d_prod_ell2_cblinfun$'|) (A__questionmark_v1 |tptp.'A_c_prod_ell2_b_d_prod_ell2_cblinfun_set$'|) (A__questionmark_v2 |tptp.'A_c_prod_ell2_b_d_prod_ell2_cblinfun_set$'|)) (let ((_let_1 (|tptp.'fun_app$s'| |tptp.'plus$b'| A__questionmark_v0))) (= (|tptp.'image$c'| _let_1 (|tptp.'minus$f'| A__questionmark_v1 A__questionmark_v2)) (|tptp.'minus$f'| (|tptp.'image$c'| _let_1 A__questionmark_v1) (|tptp.'image$c'| _let_1 A__questionmark_v2))))) (forall ((A__questionmark_v0 |tptp.'C_ell2_d_ell2_cblinfun$'|) (A__questionmark_v1 |tptp.'C_ell2_d_ell2_cblinfun$'|) (A__questionmark_v2 |tptp.'C_ell2_d_ell2_cblinfun$'|) (A__questionmark_v3 |tptp.'C_ell2_d_ell2_cblinfun$'|)) (= (|tptp.'fun_app$m'| (|tptp.'minus$b'| (|tptp.'fun_app$m'| (|tptp.'fun_app$n'| |tptp.'plus$a'| A__questionmark_v0) A__questionmark_v1)) (|tptp.'fun_app$m'| (|tptp.'fun_app$n'| |tptp.'plus$a'| A__questionmark_v2) A__questionmark_v3)) (|tptp.'fun_app$m'| (|tptp.'fun_app$n'| |tptp.'plus$a'| (|tptp.'fun_app$m'| (|tptp.'minus$b'| A__questionmark_v0) A__questionmark_v2)) (|tptp.'fun_app$m'| (|tptp.'minus$b'| A__questionmark_v1) A__questionmark_v3)))) (forall ((A__questionmark_v0 |tptp.'A_c_prod_ell2_b_d_prod_ell2_cblinfun$'|) (A__questionmark_v1 |tptp.'A_c_prod_ell2_b_d_prod_ell2_cblinfun$'|) (A__questionmark_v2 |tptp.'A_c_prod_ell2_b_d_prod_ell2_cblinfun$'|) (A__questionmark_v3 |tptp.'A_c_prod_ell2_b_d_prod_ell2_cblinfun$'|)) (= (|tptp.'minus$a'| (|tptp.'fun_app$r'| (|tptp.'fun_app$s'| |tptp.'plus$b'| A__questionmark_v0) A__questionmark_v1) (|tptp.'fun_app$r'| (|tptp.'fun_app$s'| |tptp.'plus$b'| A__questionmark_v2) A__questionmark_v3)) (|tptp.'fun_app$r'| (|tptp.'fun_app$s'| |tptp.'plus$b'| (|tptp.'minus$a'| A__questionmark_v0 A__questionmark_v2)) (|tptp.'minus$a'| A__questionmark_v1 A__questionmark_v3)))) (forall ((A__questionmark_v0 |tptp.'A_c_prod_ell2_b_d_prod_ell2_cblinfun$'|) (A__questionmark_v1 |tptp.'Complex$'|) (A__questionmark_v2 |tptp.'A_c_prod_ell2$'|)) (let ((_let_1 (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| A__questionmark_v0))) (= (|tptp.'fun_app$k'| _let_1 (|tptp.'scaleC$'| A__questionmark_v1 A__questionmark_v2)) (|tptp.'scaleC$a'| A__questionmark_v1 (|tptp.'fun_app$k'| _let_1 A__questionmark_v2))))) (forall ((A__questionmark_v0 |tptp.'Complex$'|) (A__questionmark_v1 |tptp.'A_c_prod_ell2_b_d_prod_ell2_cblinfun$'|) (A__questionmark_v2 |tptp.'A_c_prod_ell2$'|)) (= (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| (|tptp.'scaleC$b'| A__questionmark_v0 A__questionmark_v1)) A__questionmark_v2) (|tptp.'scaleC$a'| A__questionmark_v0 (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| A__questionmark_v1) A__questionmark_v2)))) (forall ((A__questionmark_v0 |tptp.'Complex$'|) (A__questionmark_v1 |tptp.'C_ell2_d_ell2_cblinfun$'|) (A__questionmark_v2 |tptp.'C_ell2_d_ell2_cblinfun$'|) (A__questionmark_v3 |tptp.'Complex$'|) (A__questionmark_v4 |tptp.'C_ell2_d_ell2_cblinfun$'|)) (= (|tptp.'fun_app$g'| (|tptp.'fun_app$h'| |tptp.'less_eq$'| (|tptp.'fun_app$m'| (|tptp.'fun_app$n'| |tptp.'plus$a'| (|tptp.'fun_app$m'| (|tptp.'scaleC$c'| A__questionmark_v0) A__questionmark_v1)) A__questionmark_v2)) (|tptp.'fun_app$m'| (|tptp.'fun_app$n'| |tptp.'plus$a'| (|tptp.'fun_app$m'| (|tptp.'scaleC$c'| A__questionmark_v3) A__questionmark_v1)) A__questionmark_v4)) (|tptp.'fun_app$g'| (|tptp.'fun_app$h'| |tptp.'less_eq$'| A__questionmark_v2) (|tptp.'fun_app$m'| (|tptp.'fun_app$n'| |tptp.'plus$a'| (|tptp.'fun_app$m'| (|tptp.'scaleC$c'| (|tptp.'minus$g'| A__questionmark_v3 A__questionmark_v0)) A__questionmark_v1)) A__questionmark_v4)))) (forall ((A__questionmark_v0 |tptp.'Complex$'|) (A__questionmark_v1 |tptp.'A_c_prod_ell2_b_d_prod_ell2_cblinfun$'|) (A__questionmark_v2 |tptp.'A_c_prod_ell2_b_d_prod_ell2_cblinfun$'|) (A__questionmark_v3 |tptp.'Complex$'|) (A__questionmark_v4 |tptp.'A_c_prod_ell2_b_d_prod_ell2_cblinfun$'|)) (= (|tptp.'fun_app$e'| (|tptp.'less_eq$a'| (|tptp.'fun_app$r'| (|tptp.'fun_app$s'| |tptp.'plus$b'| (|tptp.'scaleC$b'| A__questionmark_v0 A__questionmark_v1)) A__questionmark_v2)) (|tptp.'fun_app$r'| (|tptp.'fun_app$s'| |tptp.'plus$b'| (|tptp.'scaleC$b'| A__questionmark_v3 A__questionmark_v1)) A__questionmark_v4)) (|tptp.'fun_app$e'| (|tptp.'less_eq$a'| A__questionmark_v2) (|tptp.'fun_app$r'| (|tptp.'fun_app$s'| |tptp.'plus$b'| (|tptp.'scaleC$b'| (|tptp.'minus$g'| A__questionmark_v3 A__questionmark_v0) A__questionmark_v1)) A__questionmark_v4)))) (forall ((A__questionmark_v0 |tptp.'Complex$'|) (A__questionmark_v1 |tptp.'C_ell2_d_ell2_cblinfun$'|) (A__questionmark_v2 |tptp.'C_ell2_d_ell2_cblinfun$'|) (A__questionmark_v3 |tptp.'Complex$'|) (A__questionmark_v4 |tptp.'C_ell2_d_ell2_cblinfun$'|)) (= (|tptp.'fun_app$g'| (|tptp.'fun_app$h'| |tptp.'less_eq$'| (|tptp.'fun_app$m'| (|tptp.'fun_app$n'| |tptp.'plus$a'| (|tptp.'fun_app$m'| (|tptp.'scaleC$c'| A__questionmark_v0) A__questionmark_v1)) A__questionmark_v2)) (|tptp.'fun_app$m'| (|tptp.'fun_app$n'| |tptp.'plus$a'| (|tptp.'fun_app$m'| (|tptp.'scaleC$c'| A__questionmark_v3) A__questionmark_v1)) A__questionmark_v4)) (|tptp.'fun_app$g'| (|tptp.'fun_app$h'| |tptp.'less_eq$'| (|tptp.'fun_app$m'| (|tptp.'fun_app$n'| |tptp.'plus$a'| (|tptp.'fun_app$m'| (|tptp.'scaleC$c'| (|tptp.'minus$g'| A__questionmark_v0 A__questionmark_v3)) A__questionmark_v1)) A__questionmark_v2)) A__questionmark_v4))) (forall ((A__questionmark_v0 |tptp.'Complex$'|) (A__questionmark_v1 |tptp.'A_c_prod_ell2_b_d_prod_ell2_cblinfun$'|) (A__questionmark_v2 |tptp.'A_c_prod_ell2_b_d_prod_ell2_cblinfun$'|) (A__questionmark_v3 |tptp.'Complex$'|) (A__questionmark_v4 |tptp.'A_c_prod_ell2_b_d_prod_ell2_cblinfun$'|)) (= (|tptp.'fun_app$e'| (|tptp.'less_eq$a'| (|tptp.'fun_app$r'| (|tptp.'fun_app$s'| |tptp.'plus$b'| (|tptp.'scaleC$b'| A__questionmark_v0 A__questionmark_v1)) A__questionmark_v2)) (|tptp.'fun_app$r'| (|tptp.'fun_app$s'| |tptp.'plus$b'| (|tptp.'scaleC$b'| A__questionmark_v3 A__questionmark_v1)) A__questionmark_v4)) (|tptp.'fun_app$e'| (|tptp.'less_eq$a'| (|tptp.'fun_app$r'| (|tptp.'fun_app$s'| |tptp.'plus$b'| (|tptp.'scaleC$b'| (|tptp.'minus$g'| A__questionmark_v0 A__questionmark_v3) A__questionmark_v1)) A__questionmark_v2)) A__questionmark_v4))) (forall ((A__questionmark_v0 |tptp.'C_ell2_d_ell2_cblinfun$'|) (A__questionmark_v1 |tptp.'C_ell2_d_ell2_cblinfun_set$'|) (A__questionmark_v2 |tptp.'C_ell2_d_ell2_cblinfun_bool_fun$'|)) (=> (and (|tptp.'member$i'| A__questionmark_v0 (|tptp.'cspan$a'| A__questionmark_v1)) (|tptp.'fun_app$g'| A__questionmark_v2 |tptp.'zero$a'|) (forall ((A__questionmark_v3 |tptp.'Complex$'|) (A__questionmark_v4 |tptp.'C_ell2_d_ell2_cblinfun$'|) (A__questionmark_v5 |tptp.'C_ell2_d_ell2_cblinfun$'|)) (=> (and (|tptp.'member$i'| A__questionmark_v4 A__questionmark_v1) (|tptp.'fun_app$g'| A__questionmark_v2 A__questionmark_v5)) (|tptp.'fun_app$g'| A__questionmark_v2 (|tptp.'fun_app$m'| (|tptp.'fun_app$n'| |tptp.'plus$a'| (|tptp.'fun_app$m'| (|tptp.'scaleC$c'| A__questionmark_v3) A__questionmark_v4)) A__questionmark_v5))))) (|tptp.'fun_app$g'| A__questionmark_v2 A__questionmark_v0))) (forall ((A__questionmark_v0 |tptp.'A_c_prod_ell2_b_d_prod_ell2_cblinfun$'|) (A__questionmark_v1 |tptp.'A_c_prod_ell2_b_d_prod_ell2_cblinfun_set$'|) (A__questionmark_v2 |tptp.'A_c_prod_ell2_b_d_prod_ell2_cblinfun_bool_fun$'|)) (=> (and (|tptp.'member$j'| A__questionmark_v0 (|tptp.'cspan$b'| A__questionmark_v1)) (|tptp.'fun_app$e'| A__questionmark_v2 |tptp.'zero$b'|) (forall ((A__questionmark_v3 |tptp.'Complex$'|) (A__questionmark_v4 |tptp.'A_c_prod_ell2_b_d_prod_ell2_cblinfun$'|) (A__questionmark_v5 |tptp.'A_c_prod_ell2_b_d_prod_ell2_cblinfun$'|)) (=> (and (|tptp.'member$j'| A__questionmark_v4 A__questionmark_v1) (|tptp.'fun_app$e'| A__questionmark_v2 A__questionmark_v5)) (|tptp.'fun_app$e'| A__questionmark_v2 (|tptp.'fun_app$r'| (|tptp.'fun_app$s'| |tptp.'plus$b'| (|tptp.'scaleC$b'| A__questionmark_v3 A__questionmark_v4)) A__questionmark_v5))))) (|tptp.'fun_app$e'| A__questionmark_v2 A__questionmark_v0))) (forall ((A__questionmark_v0 |tptp.'Complex$'|) (A__questionmark_v1 |tptp.'C_ell2_d_ell2_cblinfun$'|) (A__questionmark_v2 |tptp.'C_ell2_d_ell2_cblinfun$'|)) (let ((_let_1 (|tptp.'scaleC$c'| A__questionmark_v0))) (= (|tptp.'fun_app$m'| _let_1 (|tptp.'fun_app$m'| (|tptp.'fun_app$n'| |tptp.'plus$a'| A__questionmark_v1) A__questionmark_v2)) (|tptp.'fun_app$m'| (|tptp.'fun_app$n'| |tptp.'plus$a'| (|tptp.'fun_app$m'| _let_1 A__questionmark_v1)) (|tptp.'fun_app$m'| _let_1 A__questionmark_v2))))) (forall ((A__questionmark_v0 |tptp.'Complex$'|) (A__questionmark_v1 |tptp.'A_c_prod_ell2_b_d_prod_ell2_cblinfun$'|) (A__questionmark_v2 |tptp.'A_c_prod_ell2_b_d_prod_ell2_cblinfun$'|)) (= (|tptp.'scaleC$b'| A__questionmark_v0 (|tptp.'fun_app$r'| (|tptp.'fun_app$s'| |tptp.'plus$b'| A__questionmark_v1) A__questionmark_v2)) (|tptp.'fun_app$r'| (|tptp.'fun_app$s'| |tptp.'plus$b'| (|tptp.'scaleC$b'| A__questionmark_v0 A__questionmark_v1)) (|tptp.'scaleC$b'| A__questionmark_v0 A__questionmark_v2)))) (forall ((A__questionmark_v0 |tptp.'Complex$'|) (A__questionmark_v1 |tptp.'Complex$'|) (A__questionmark_v2 |tptp.'C_ell2_d_ell2_cblinfun$'|)) (= (|tptp.'fun_app$m'| (|tptp.'scaleC$c'| (|tptp.'plus$'| A__questionmark_v0 A__questionmark_v1)) A__questionmark_v2) (|tptp.'fun_app$m'| (|tptp.'fun_app$n'| |tptp.'plus$a'| (|tptp.'fun_app$m'| (|tptp.'scaleC$c'| A__questionmark_v0) A__questionmark_v2)) (|tptp.'fun_app$m'| (|tptp.'scaleC$c'| A__questionmark_v1) A__questionmark_v2)))) (forall ((A__questionmark_v0 |tptp.'Complex$'|) (A__questionmark_v1 |tptp.'Complex$'|) (A__questionmark_v2 |tptp.'A_c_prod_ell2_b_d_prod_ell2_cblinfun$'|)) (= (|tptp.'scaleC$b'| (|tptp.'plus$'| A__questionmark_v0 A__questionmark_v1) A__questionmark_v2) (|tptp.'fun_app$r'| (|tptp.'fun_app$s'| |tptp.'plus$b'| (|tptp.'scaleC$b'| A__questionmark_v0 A__questionmark_v2)) (|tptp.'scaleC$b'| A__questionmark_v1 A__questionmark_v2)))) (forall ((A__questionmark_v0 |tptp.'Complex$'|) (A__questionmark_v1 |tptp.'Complex$'|) (A__questionmark_v2 |tptp.'C_ell2_d_ell2_cblinfun$'|)) (= (|tptp.'fun_app$m'| (|tptp.'scaleC$c'| (|tptp.'plus$'| A__questionmark_v0 A__questionmark_v1)) A__questionmark_v2) (|tptp.'fun_app$m'| (|tptp.'fun_app$n'| |tptp.'plus$a'| (|tptp.'fun_app$m'| (|tptp.'scaleC$c'| A__questionmark_v0) A__questionmark_v2)) (|tptp.'fun_app$m'| (|tptp.'scaleC$c'| A__questionmark_v1) A__questionmark_v2)))) (forall ((A__questionmark_v0 |tptp.'Complex$'|) (A__questionmark_v1 |tptp.'Complex$'|) (A__questionmark_v2 |tptp.'A_c_prod_ell2_b_d_prod_ell2_cblinfun$'|)) (= (|tptp.'scaleC$b'| (|tptp.'plus$'| A__questionmark_v0 A__questionmark_v1) A__questionmark_v2) (|tptp.'fun_app$r'| (|tptp.'fun_app$s'| |tptp.'plus$b'| (|tptp.'scaleC$b'| A__questionmark_v0 A__questionmark_v2)) (|tptp.'scaleC$b'| A__questionmark_v1 A__questionmark_v2)))) (forall ((A__questionmark_v0 |tptp.'Complex$'|) (A__questionmark_v1 |tptp.'A_c_prod_ell2_b_d_prod_ell2_cblinfun$'|) (A__questionmark_v2 |tptp.'A_c_prod_ell2$'|)) (= (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| (|tptp.'scaleC$b'| A__questionmark_v0 A__questionmark_v1)) A__questionmark_v2) (|tptp.'scaleC$a'| A__questionmark_v0 (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| A__questionmark_v1) A__questionmark_v2)))) (forall ((A__questionmark_v0 |tptp.'A_c_prod_ell2_set$'|) (A__questionmark_v1 |tptp.'A_c_prod_ell2_b_d_prod_ell2_cblinfun$'|) (A__questionmark_v2 |tptp.'A_c_prod_ell2_b_d_prod_ell2_cblinfun$'|) (A__questionmark_v3 |tptp.'A_c_prod_ell2_ccsubspace$'|)) (=> (and (forall ((A__questionmark_v4 |tptp.'A_c_prod_ell2$'|)) (=> (|tptp.'member$c'| A__questionmark_v4 A__questionmark_v0) (= (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| A__questionmark_v1) A__questionmark_v4) (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| A__questionmark_v2) A__questionmark_v4)))) (|tptp.'less_eq$g'| A__questionmark_v3 (|tptp.'ccspan$'| A__questionmark_v0))) (= (|tptp.'cblinfun_image$'| A__questionmark_v1 A__questionmark_v3) (|tptp.'cblinfun_image$'| A__questionmark_v2 A__questionmark_v3)))) (forall ((A__questionmark_v0 |tptp.'A_c_prod_ell2_b_d_prod_ell2_cblinfun$'|) (A__questionmark_v1 |tptp.'A_c_prod_ell2_set$'|)) (= (|tptp.'cblinfun_image$'| A__questionmark_v0 (|tptp.'ccspan$'| A__questionmark_v1)) (|tptp.'ccspan$a'| (|tptp.'image$e'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| A__questionmark_v0) A__questionmark_v1)))) (forall ((A__questionmark_v0 |tptp.'C_ell2_d_ell2_cblinfun$'|) (A__questionmark_v1 |tptp.'C_ell2_d_ell2_cblinfun$'|) (A__questionmark_v2 |tptp.'Complex$'|)) (let ((_let_1 (|tptp.'scaleC$c'| A__questionmark_v2))) (=> (|tptp.'nO_MATCH$'| (|tptp.'fun_app$m'| (|tptp.'divide$'| A__questionmark_v0) A__questionmark_v1) A__questionmark_v2) (= (|tptp.'fun_app$m'| _let_1 (|tptp.'fun_app$m'| (|tptp.'fun_app$n'| |tptp.'plus$a'| A__questionmark_v0) A__questionmark_v1)) (|tptp.'fun_app$m'| (|tptp.'fun_app$n'| |tptp.'plus$a'| (|tptp.'fun_app$m'| _let_1 A__questionmark_v0)) (|tptp.'fun_app$m'| _let_1 A__questionmark_v1)))))) (forall ((A__questionmark_v0 |tptp.'A_c_prod_ell2_b_d_prod_ell2_cblinfun$'|) (A__questionmark_v1 |tptp.'A_c_prod_ell2_b_d_prod_ell2_cblinfun$'|) (A__questionmark_v2 |tptp.'Complex$'|)) (=> (|tptp.'nO_MATCH$a'| (|tptp.'divide$a'| A__questionmark_v0 A__questionmark_v1) A__questionmark_v2) (= (|tptp.'scaleC$b'| A__questionmark_v2 (|tptp.'fun_app$r'| (|tptp.'fun_app$s'| |tptp.'plus$b'| A__questionmark_v0) A__questionmark_v1)) (|tptp.'fun_app$r'| (|tptp.'fun_app$s'| |tptp.'plus$b'| (|tptp.'scaleC$b'| A__questionmark_v2 A__questionmark_v0)) (|tptp.'scaleC$b'| A__questionmark_v2 A__questionmark_v1))))) true)))))))))))))))))))))))))))))))))))))))))))))))))))
% 0.68/1.28 )
% 0.68/1.28 % SZS output end Proof for ITP387_1
% 0.68/1.28 % cvc5---1.0.5 exiting
% 0.68/1.28 % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------