TSTP Solution File: ITP387_1 by cvc5---1.0.5
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%------------------------------------------------------------------------------
% File : cvc5---1.0.5
% Problem : ITP387_1 : TPTP v8.2.0. Released v8.0.0.
% Transfm : none
% Format : tptp:raw
% Command : do_cvc5 %s %d
% Computer : n019.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Wed May 29 17:14:13 EDT 2024
% Result : Theorem 1.07s 1.27s
% Output : Proof 1.10s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.14/0.26 % Problem : ITP387_1 : TPTP v8.2.0. Released v8.0.0.
% 0.14/0.27 % Command : do_cvc5 %s %d
% 0.27/0.49 % Computer : n019.cluster.edu
% 0.27/0.49 % Model : x86_64 x86_64
% 0.27/0.49 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.27/0.49 % Memory : 8042.1875MB
% 0.27/0.49 % OS : Linux 3.10.0-693.el7.x86_64
% 0.27/0.49 % CPULimit : 300
% 0.27/0.49 % WCLimit : 300
% 0.27/0.49 % DateTime : Sun May 26 02:58:39 EDT 2024
% 0.27/0.49 % CPUTime :
% 0.60/0.84 %----Proving TF0_NAR, FOF, or CNF
% 1.07/1.27 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 1.07/1.27 % SZS status Theorem for /export/starexec/sandbox/tmp/tmp.Rh2x11e57D/cvc5---1.0.5_23115.smt2
% 1.07/1.27 % SZS output start Proof for /export/starexec/sandbox/tmp/tmp.Rh2x11e57D/cvc5---1.0.5_23115.smt2
% 1.07/1.27 (assume a0 (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$'| A__questionmark_v1 A__questionmark_v0))))
% 1.07/1.27 (assume a1 (forall ((A__questionmark_v0 |tptp.'A_c_prod_set$'|) (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))))
% 1.07/1.27 (assume a2 (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$b'| A__questionmark_v1 A__questionmark_v0))))
% 1.07/1.27 (assume a3 (forall ((A__questionmark_v0 |tptp.'A_c_prod_ell2_set$'|) (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))))
% 1.07/1.27 (assume a4 (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$d'| A__questionmark_v1 A__questionmark_v0))))
% 1.07/1.27 (assume a5 (forall ((A__questionmark_v0 |tptp.'A_c_prod_ell2_b_d_prod_ell2_cblinfun$'|) (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))))
% 1.07/1.27 (assume a6 (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$'| A__questionmark_v0) A__questionmark_v1) (= A__questionmark_v0 A__questionmark_v1))))
% 1.07/1.27 (assume a7 (forall ((A__questionmark_v0 |tptp.'A_c_prod_ell2_b_d_prod_ell2_cblinfun_set$'|) (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)))))
% 1.07/1.27 (assume a8 (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$a'| A__questionmark_v0 A__questionmark_v1) A__questionmark_v3)))))
% 1.07/1.27 (assume a9 (not (= (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| (|tptp.'tensor_op$'| |tptp.'a$'| (|tptp.'fun_app$m'| (|tptp.'fun_app$n'| |tptp.'plus$a'| |tptp.'b1$'|) |tptp.'b2$'|))) (|tptp.'fun_app$o'| |tptp.'ket$'| (|tptp.'fun_app$p'| (|tptp.'fun_app$q'| |tptp.'pair$'| |tptp.'i$'|) |tptp.'j$'|))) (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| (|tptp.'fun_app$r'| (|tptp.'fun_app$s'| |tptp.'plus$b'| (|tptp.'tensor_op$'| |tptp.'a$'| |tptp.'b1$'|)) (|tptp.'tensor_op$'| |tptp.'a$'| |tptp.'b2$'|))) (|tptp.'fun_app$o'| |tptp.'ket$'| (|tptp.'fun_app$p'| (|tptp.'fun_app$q'| |tptp.'pair$'| |tptp.'i$'|) |tptp.'j$'|))))))
% 1.07/1.27 (assume a10 (forall ((A__questionmark_v0 |tptp.'C_ell2_d_ell2_cblinfun$'|) (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$a'| A__questionmark_v1) A__questionmark_v3)))))
% 1.07/1.27 (assume a11 (forall ((A__questionmark_v0 |tptp.'C_ell2_d_ell2_cblinfun$'|) (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$b'| A__questionmark_v1) A__questionmark_v3)))))
% 1.07/1.27 (assume a12 (forall ((A__questionmark_v0 |tptp.'A_c_prod_ell2_b_d_prod_ell2_cblinfun$'|) (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$a'| A__questionmark_v1) A__questionmark_v3)))))
% 1.07/1.27 (assume a13 (forall ((A__questionmark_v0 |tptp.'A_c_prod_ell2_b_d_prod_ell2_cblinfun$'|) (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$b'| A__questionmark_v1) A__questionmark_v3)))))
% 1.07/1.27 (assume a14 (forall ((A__questionmark_v0 |tptp.'Complex$'|) (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$'| A__questionmark_v1 A__questionmark_v3)))))
% 1.07/1.27 (assume a15 (forall ((A__questionmark_v0 |tptp.'D_ell2$'|) (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$'| A__questionmark_v1 A__questionmark_v3)))))
% 1.07/1.27 (assume a16 (forall ((A__questionmark_v0 |tptp.'Complex$'|) (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$i'| A__questionmark_v1 A__questionmark_v3)))))
% 1.07/1.27 (assume a17 (forall ((A__questionmark_v0 |tptp.'D_ell2$'|) (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$i'| A__questionmark_v1 A__questionmark_v3)))))
% 1.07/1.27 (assume a18 (forall ((A__questionmark_v0 |tptp.'A_c_prod_ell2$'|) (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$'| A__questionmark_v1 A__questionmark_v3)))))
% 1.07/1.27 (assume a19 (forall ((A__questionmark_v0 |tptp.'Complex$'|) (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$m'| A__questionmark_v1 A__questionmark_v3)))))
% 1.07/1.27 (assume a20 (forall ((A__questionmark_v0 |tptp.'A_ell2_b_ell2_cblinfun$'|) (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$b'| A__questionmark_v3))))))
% 1.07/1.27 (assume a21 (forall ((A__questionmark_v0 |tptp.'A_c_prod_ell2_b_d_prod_ell2_cblinfun$'|) (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$'| A__questionmark_v3))))))
% 1.07/1.27 (assume a22 (forall ((A__questionmark_v0 |tptp.'C_ell2_b_ell2_cblinfun$'|) (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))))))
% 1.07/1.27 (assume a23 (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$a'| A__questionmark_v3))))))
% 1.07/1.27 (assume a24 (forall ((A__questionmark_v0 |tptp.'C_ell2_a_ell2_cblinfun$'|) (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))))))
% 1.07/1.27 (assume a25 (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))))))
% 1.07/1.27 (assume a26 (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$a'| A__questionmark_v3))))))
% 1.07/1.27 (assume a27 (forall ((A__questionmark_v0 |tptp.'C_ell2_b_ell2_cblinfun$'|) (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$b'| A__questionmark_v3))))))
% 1.07/1.27 (assume a28 (forall ((A__questionmark_v0 |tptp.'C_ell2_d_ell2_cblinfun$'|) (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))))))
% 1.07/1.27 (assume a29 (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$a'| A__questionmark_v3))))))
% 1.07/1.27 (assume a30 (forall ((A__questionmark_v0 |tptp.'C_ell2_d_ell2_cblinfun_c_ell2_d_ell2_cblinfun_cblinfun$'|) (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)))))
% 1.07/1.27 (assume a31 (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$c'| A__questionmark_v1) A__questionmark_v2)))))
% 1.07/1.27 (assume a32 (forall ((A__questionmark_v0 |tptp.'B_d_prod_ell2_a_c_prod_ell2_cblinfun$'|) (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)))))
% 1.07/1.27 (assume a33 (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$a'| A__questionmark_v1) A__questionmark_v2)))))
% 1.07/1.27 (assume a34 (forall ((A__questionmark_v0 |tptp.'C_ell2_d_ell2_cblinfun$'|) (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)))))
% 1.07/1.27 (assume a35 (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)))))
% 1.07/1.27 (assume a36 (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$r'| A__questionmark_v1) A__questionmark_v2)))))
% 1.07/1.27 (assume a37 (forall ((A__questionmark_v0 |tptp.'A_c_prod_a_c_prod_prod_ell2_b_d_prod_b_d_prod_prod_ell2_cblinfun$'|) (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)))))
% 1.07/1.27 (assume a38 (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$s'| A__questionmark_v1) A__questionmark_v2)))))
% 1.07/1.27 (assume a39 (forall ((A__questionmark_v0 |tptp.'A_ell2_b_ell2_cblinfun$'|) (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)))))
% 1.07/1.27 (assume a40 (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$b'| A__questionmark_v1) A__questionmark_v2)))))
% 1.07/1.27 (assume a41 (forall ((A__questionmark_v0 |tptp.'A_c_prod_ell2_b_d_prod_ell2_cblinfun$'|) (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$'| A__questionmark_v1) A__questionmark_v2)))))
% 1.07/1.27 (assume a42 (forall ((A__questionmark_v0 |tptp.'A$'|) (A__questionmark_v1 |tptp.'A$'|)) (= (= (|tptp.'ket$a'| A__questionmark_v0) (|tptp.'ket$a'| A__questionmark_v1)) (= A__questionmark_v0 A__questionmark_v1))))
% 1.07/1.27 (assume a43 (forall ((A__questionmark_v0 |tptp.'C$'|) (A__questionmark_v1 |tptp.'C$'|)) (= (= (|tptp.'ket$b'| A__questionmark_v0) (|tptp.'ket$b'| A__questionmark_v1)) (= A__questionmark_v0 A__questionmark_v1))))
% 1.07/1.27 (assume a44 (forall ((A__questionmark_v0 |tptp.'A_c_prod_a_c_prod_prod$'|) (A__questionmark_v1 |tptp.'A_c_prod_a_c_prod_prod$'|)) (= (= (|tptp.'ket$c'| A__questionmark_v0) (|tptp.'ket$c'| A__questionmark_v1)) (= A__questionmark_v0 A__questionmark_v1))))
% 1.07/1.27 (assume a45 (forall ((A__questionmark_v0 |tptp.'A_c_prod$'|) (A__questionmark_v1 |tptp.'A_c_prod$'|)) (= (= (|tptp.'fun_app$o'| |tptp.'ket$'| A__questionmark_v0) (|tptp.'fun_app$o'| |tptp.'ket$'| A__questionmark_v1)) (= A__questionmark_v0 A__questionmark_v1))))
% 1.07/1.27 (assume a46 (forall ((A__questionmark_v0 |tptp.'A_c_prod_a_c_prod_prod_ell2_b_d_prod_b_d_prod_prod_ell2_cblinfun$'|) (A__questionmark_v1 |tptp.'A_c_prod_a_c_prod_prod_ell2_b_d_prod_b_d_prod_prod_ell2_cblinfun$'|)) (=> (forall ((A__questionmark_v2 |tptp.'A_c_prod_a_c_prod_prod$'|)) (= (|tptp.'fun_app$v'| (|tptp.'cblinfun_apply$c'| A__questionmark_v0) (|tptp.'ket$c'| A__questionmark_v2)) (|tptp.'fun_app$v'| (|tptp.'cblinfun_apply$c'| A__questionmark_v1) (|tptp.'ket$c'| A__questionmark_v2)))) (= A__questionmark_v0 A__questionmark_v1))))
% 1.07/1.27 (assume a47 (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$'|)) (= (|tptp.'fun_app$w'| (|tptp.'cblinfun_apply$s'| A__questionmark_v0) (|tptp.'ket$g'| A__questionmark_v2)) (|tptp.'fun_app$w'| (|tptp.'cblinfun_apply$s'| A__questionmark_v1) (|tptp.'ket$g'| A__questionmark_v2)))) (= A__questionmark_v0 A__questionmark_v1))))
% 1.07/1.27 (assume a48 (forall ((A__questionmark_v0 |tptp.'C_ell2_d_ell2_cblinfun$'|) (A__questionmark_v1 |tptp.'C_ell2_d_ell2_cblinfun$'|)) (=> (forall ((A__questionmark_v2 |tptp.'C$'|)) (= (|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_v2)))) (= A__questionmark_v0 A__questionmark_v1))))
% 1.07/1.27 (assume a49 (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$'|)) (= (|tptp.'fun_app$t'| (|tptp.'cblinfun_apply$a'| A__questionmark_v0) (|tptp.'ket$a'| A__questionmark_v2)) (|tptp.'fun_app$t'| (|tptp.'cblinfun_apply$a'| A__questionmark_v1) (|tptp.'ket$a'| A__questionmark_v2)))) (= A__questionmark_v0 A__questionmark_v1))))
% 1.07/1.27 (assume a50 (forall ((A__questionmark_v0 |tptp.'A_c_prod_ell2_b_d_prod_ell2_cblinfun$'|) (A__questionmark_v1 |tptp.'A_c_prod_ell2_b_d_prod_ell2_cblinfun$'|)) (=> (forall ((A__questionmark_v2 |tptp.'A_c_prod$'|)) (= (|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_v2)))) (= A__questionmark_v0 A__questionmark_v1))))
% 1.07/1.27 (assume a51 (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$m'| A__questionmark_v0 A__questionmark_v2)) (= A__questionmark_v1 A__questionmark_v2))))
% 1.07/1.27 (assume a52 (forall ((A__questionmark_v0 |tptp.'D_ell2$'|) (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))))
% 1.07/1.27 (assume a53 (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$'| A__questionmark_v0 A__questionmark_v2)) (= A__questionmark_v1 A__questionmark_v2))))
% 1.07/1.27 (assume a54 (forall ((A__questionmark_v0 |tptp.'C_ell2_d_ell2_cblinfun$'|) (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_v0) A__questionmark_v2)) (= A__questionmark_v1 A__questionmark_v2))))
% 1.07/1.27 (assume a55 (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$b'| A__questionmark_v0) A__questionmark_v2)) (= A__questionmark_v1 A__questionmark_v2))))
% 1.07/1.27 (assume a56 (forall ((A__questionmark_v0 |tptp.'A_c_prod_ell2$'|) (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))))
% 1.07/1.27 (assume a57 (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$i'| A__questionmark_v2 A__questionmark_v1)) (= A__questionmark_v0 A__questionmark_v2))))
% 1.07/1.27 (assume a58 (forall ((A__questionmark_v0 |tptp.'Complex$'|) (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))))
% 1.07/1.27 (assume a59 (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$a'| A__questionmark_v2) A__questionmark_v1)) (= A__questionmark_v0 A__questionmark_v2))))
% 1.07/1.27 (assume a60 (forall ((A__questionmark_v0 |tptp.'A_c_prod_ell2_b_d_prod_ell2_cblinfun$'|) (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))))
% 1.07/1.27 (assume a61 (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$v'| A__questionmark_v1 A__questionmark_v3)))))
% 1.07/1.27 (assume a62 (forall ((A__questionmark_v0 |tptp.'A_c_prod_ell2$'|) (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)))))
% 1.07/1.27 (assume a63 (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$x'| A__questionmark_v1 A__questionmark_v3)))))
% 1.07/1.27 (assume a64 (forall ((A__questionmark_v0 |tptp.'Complex$'|) (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)))))
% 1.07/1.27 (assume a65 (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$aa'| A__questionmark_v1 A__questionmark_v3)))))
% 1.07/1.27 (assume a66 (forall ((A__questionmark_v0 |tptp.'C_ell2_d_ell2_cblinfun_set$'|) (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)))))
% 1.07/1.27 (assume a67 (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$ab'| A__questionmark_v1 A__questionmark_v3)))))
% 1.07/1.27 (assume a68 (forall ((A__questionmark_v0 |tptp.'A_c_prod_ell2_b_d_prod_ell2_cblinfun$'|) (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)))))
% 1.07/1.27 (assume a69 (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)))))
% 1.07/1.27 (assume a70 (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)))))
% 1.07/1.27 (assume a71 (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)))))
% 1.07/1.27 (assume a72 (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)))))
% 1.07/1.27 (assume a73 (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)))))
% 1.07/1.27 (assume a74 (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)))))
% 1.07/1.27 (assume a75 (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)))))
% 1.07/1.27 (assume a76 (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)))))
% 1.07/1.27 (assume a77 (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)))))
% 1.07/1.27 (assume a78 (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)))))
% 1.07/1.27 (assume a79 (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)))))
% 1.07/1.27 (assume a80 (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)))))
% 1.07/1.27 (assume a81 (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)))))
% 1.07/1.27 (assume a82 (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$k'| A__questionmark_v0 A__questionmark_v1)))))
% 1.07/1.27 (assume a83 (forall ((A__questionmark_v0 |tptp.'A$'|) (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)))))
% 1.07/1.27 (assume a84 (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$n'| A__questionmark_v0 A__questionmark_v1)))))
% 1.07/1.27 (assume a85 (forall ((A__questionmark_v0 |tptp.'C$'|) (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)))))
% 1.07/1.27 (assume a86 (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$o'| A__questionmark_v0 A__questionmark_v1)))))
% 1.07/1.27 (assume a87 (forall ((A__questionmark_v0 |tptp.'A_c_prod$'|) (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$p'| A__questionmark_v0 A__questionmark_v1)))))
% 1.07/1.27 (assume a88 (forall ((A__questionmark_v0 |tptp.'A_c_prod$'|) (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$q'| A__questionmark_v0 A__questionmark_v1)))))
% 1.07/1.27 (assume a89 (forall ((A__questionmark_v0 |tptp.'A$'|) (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$r'| A__questionmark_v0 A__questionmark_v1)))))
% 1.07/1.27 (assume a90 (forall ((A__questionmark_v0 |tptp.'C$'|) (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$s'| A__questionmark_v0 A__questionmark_v1)))))
% 1.07/1.27 (assume a91 (forall ((A__questionmark_v0 |tptp.'B_ell2$'|) (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$'| A__questionmark_v1 A__questionmark_v2)))))
% 1.07/1.27 (assume a92 (forall ((A__questionmark_v0 |tptp.'B_d_prod_ell2$'|) (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$a'| A__questionmark_v1 A__questionmark_v2)))))
% 1.07/1.27 (assume a93 (forall ((A__questionmark_v0 |tptp.'A_ell2$'|) (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$b'| A__questionmark_v1 A__questionmark_v2)))))
% 1.07/1.27 (assume a94 (forall ((A__questionmark_v0 |tptp.'A_c_prod_ell2$'|) (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$e'| A__questionmark_v1 A__questionmark_v2)))))
% 1.07/1.27 (assume a95 (forall ((A__questionmark_v0 |tptp.'B_ell2$'|) (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$'| A__questionmark_v0 A__questionmark_v2)))))
% 1.07/1.27 (assume a96 (forall ((A__questionmark_v0 |tptp.'B_d_prod_ell2$'|) (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$a'| A__questionmark_v0 A__questionmark_v2)))))
% 1.07/1.27 (assume a97 (forall ((A__questionmark_v0 |tptp.'A_ell2$'|) (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$b'| A__questionmark_v0 A__questionmark_v2)))))
% 1.07/1.27 (assume a98 (forall ((A__questionmark_v0 |tptp.'A_c_prod_ell2$'|) (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$e'| A__questionmark_v0 A__questionmark_v2)))))
% 1.07/1.27 (assume a99 (forall ((A__questionmark_v0 |tptp.'A_c_prod_a_c_prod_prod_bool_fun$'|) (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))))
% 1.07/1.27 (assume a100 (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)))
% 1.07/1.27 (assume a101 (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)))
% 1.07/1.27 (assume a102 (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)))
% 1.07/1.27 (assume a103 (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)))
% 1.07/1.27 (assume a104 (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)))
% 1.07/1.27 (assume a105 (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)))
% 1.07/1.27 (assume a106 (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)))
% 1.07/1.27 (assume a107 (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$y'| A__questionmark_v0 A__questionmark_v1))))
% 1.07/1.27 (assume a108 (forall ((A__questionmark_v0 |tptp.'C_ell2_d_ell2_cblinfun_a_c_prod_ell2_b_d_prod_ell2_cblinfun_prod_bool_fun$'|) (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))))
% 1.07/1.27 (assume a109 (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$aa'| A__questionmark_v0 A__questionmark_v1))))
% 1.07/1.27 (assume a110 (forall ((A__questionmark_v0 |tptp.'A_c_prod_a_c_prod_prod_bool_fun$'|) (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))))
% 1.07/1.27 (assume a111 (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$'| A__questionmark_v0 A__questionmark_v1))))
% 1.07/1.27 (assume a112 (forall ((A__questionmark_v0 |tptp.'A_c_prod_bool_fun$'|) (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))))
% 1.07/1.27 (assume a113 (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)))))
% 1.07/1.27 (assume a114 (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)))))
% 1.07/1.27 (assume a115 (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)))))
% 1.07/1.27 (assume a116 (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)))))
% 1.07/1.27 (assume a117 (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)))))
% 1.07/1.27 (assume a118 (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)))))
% 1.07/1.27 (assume a119 (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)))
% 1.07/1.27 (assume a120 (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)))
% 1.07/1.27 (assume a121 (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)))
% 1.07/1.27 (assume a122 (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)))
% 1.07/1.27 (assume a123 (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)))
% 1.07/1.27 (assume a124 (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)))
% 1.07/1.27 (assume a125 (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)))
% 1.07/1.27 (assume a126 (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)))
% 1.07/1.27 (assume a127 (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)))
% 1.07/1.27 (assume a128 (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)))
% 1.07/1.27 (assume a129 (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)))
% 1.07/1.27 (assume a130 (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)))
% 1.07/1.27 (assume a131 (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)))
% 1.07/1.27 (assume a132 (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)))
% 1.07/1.27 (assume a133 (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$m'| A__questionmark_v2 A__questionmark_v1)) (= A__questionmark_v0 A__questionmark_v2))))
% 1.07/1.27 (assume a134 (forall ((A__questionmark_v0 |tptp.'D_ell2$'|) (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))))
% 1.07/1.27 (assume a135 (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$'| A__questionmark_v2 A__questionmark_v1)) (= A__questionmark_v0 A__questionmark_v2))))
% 1.07/1.27 (assume a136 (forall ((A__questionmark_v0 |tptp.'C_ell2_d_ell2_cblinfun$'|) (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))))
% 1.07/1.27 (assume a137 (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$b'| A__questionmark_v2) A__questionmark_v1)) (= A__questionmark_v0 A__questionmark_v2))))
% 1.07/1.27 (assume a138 (forall ((A__questionmark_v0 |tptp.'A_c_prod_ell2$'|) (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))))
% 1.07/1.27 (assume a139 (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$i'| A__questionmark_v0 A__questionmark_v2)) (= A__questionmark_v1 A__questionmark_v2))))
% 1.07/1.27 (assume a140 (forall ((A__questionmark_v0 |tptp.'Complex$'|) (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))))
% 1.07/1.27 (assume a141 (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$a'| A__questionmark_v0) A__questionmark_v2)) (= A__questionmark_v1 A__questionmark_v2))))
% 1.07/1.27 (assume a142 (forall ((A__questionmark_v0 |tptp.'A_c_prod_ell2_b_d_prod_ell2_cblinfun$'|) (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_v0) A__questionmark_v2)) (= A__questionmark_v1 A__questionmark_v2))))
% 1.07/1.27 (assume a143 (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$m'| A__questionmark_v0 A__questionmark_v2)))))
% 1.07/1.27 (assume a144 (forall ((A__questionmark_v0 |tptp.'D_ell2$'|) (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)))))
% 1.07/1.27 (assume a145 (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$'| A__questionmark_v0 A__questionmark_v2)))))
% 1.07/1.27 (assume a146 (forall ((A__questionmark_v0 |tptp.'A_c_prod_ell2_b_d_prod_ell2_cblinfun_set$'|) (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)))))
% 1.07/1.27 (assume a147 (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$ab'| A__questionmark_v0 A__questionmark_v2)))))
% 1.07/1.27 (assume a148 (forall ((A__questionmark_v0 |tptp.'C_ell2_d_ell2_cblinfun$'|) (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$a'| A__questionmark_v0) (|tptp.'fun_app$m'| (|tptp.'fun_app$n'| |tptp.'plus$a'| A__questionmark_v1) A__questionmark_v2)) (|tptp.'fun_app$m'| (|tptp.'fun_app$n'| |tptp.'plus$a'| A__questionmark_v1) (|tptp.'fun_app$m'| (|tptp.'fun_app$n'| |tptp.'plus$a'| A__questionmark_v0) A__questionmark_v2)))))
% 1.07/1.27 (assume a149 (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) (|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'| A__questionmark_v1) (|tptp.'fun_app$r'| (|tptp.'fun_app$s'| |tptp.'plus$b'| A__questionmark_v0) A__questionmark_v2)))))
% 1.07/1.27 (assume a150 (forall ((A__questionmark_v0 |tptp.'A_c_prod_ell2$'|) (A__questionmark_v1 |tptp.'A_c_prod_ell2$'|)) (= (|tptp.'plus$m'| A__questionmark_v0 A__questionmark_v1) (|tptp.'plus$m'| A__questionmark_v1 A__questionmark_v0))))
% 1.07/1.27 (assume a151 (forall ((A__questionmark_v0 |tptp.'D_ell2$'|) (A__questionmark_v1 |tptp.'D_ell2$'|)) (= (|tptp.'plus$i'| A__questionmark_v0 A__questionmark_v1) (|tptp.'plus$i'| A__questionmark_v1 A__questionmark_v0))))
% 1.07/1.27 (assume a152 (forall ((A__questionmark_v0 |tptp.'Complex$'|) (A__questionmark_v1 |tptp.'Complex$'|)) (= (|tptp.'plus$'| A__questionmark_v0 A__questionmark_v1) (|tptp.'plus$'| A__questionmark_v1 A__questionmark_v0))))
% 1.07/1.27 (assume a153 (forall ((A__questionmark_v0 |tptp.'A_c_prod_ell2_b_d_prod_ell2_cblinfun_set$'|) (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$z'| A__questionmark_v1 A__questionmark_v0))))
% 1.07/1.27 (assume a154 (forall ((A__questionmark_v0 |tptp.'C_ell2_d_ell2_cblinfun_set$'|) (A__questionmark_v1 |tptp.'C_ell2_d_ell2_cblinfun_set$'|)) (= (|tptp.'plus$ab'| A__questionmark_v0 A__questionmark_v1) (|tptp.'plus$ab'| A__questionmark_v1 A__questionmark_v0))))
% 1.07/1.27 (assume a155 (forall ((A__questionmark_v0 |tptp.'C_ell2_d_ell2_cblinfun$'|) (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$a'| A__questionmark_v1) A__questionmark_v0))))
% 1.07/1.27 (assume a156 (forall ((A__questionmark_v0 |tptp.'A_c_prod_ell2_b_d_prod_ell2_cblinfun$'|) (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$b'| A__questionmark_v1) A__questionmark_v0))))
% 1.07/1.27 (assume a157 (forall ((A__questionmark_v0 |tptp.'A_c_prod_ell2$'|) (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))))
% 1.07/1.27 (assume a158 (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$i'| A__questionmark_v2 A__questionmark_v1)) (= A__questionmark_v0 A__questionmark_v2))))
% 1.07/1.27 (assume a159 (forall ((A__questionmark_v0 |tptp.'Complex$'|) (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))))
% 1.07/1.27 (assume a160 (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$a'| A__questionmark_v2) A__questionmark_v1)) (= A__questionmark_v0 A__questionmark_v2))))
% 1.07/1.27 (assume a161 (forall ((A__questionmark_v0 |tptp.'A_c_prod_ell2_b_d_prod_ell2_cblinfun$'|) (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))))
% 1.07/1.27 (assume a162 (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$m'| A__questionmark_v0 A__questionmark_v2)) (= A__questionmark_v1 A__questionmark_v2))))
% 1.07/1.27 (assume a163 (forall ((A__questionmark_v0 |tptp.'D_ell2$'|) (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))))
% 1.07/1.27 (assume a164 (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$'| A__questionmark_v0 A__questionmark_v2)) (= A__questionmark_v1 A__questionmark_v2))))
% 1.07/1.27 (assume a165 (forall ((A__questionmark_v0 |tptp.'C_ell2_d_ell2_cblinfun$'|) (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_v0) A__questionmark_v2)) (= A__questionmark_v1 A__questionmark_v2))))
% 1.07/1.27 (assume a166 (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$b'| A__questionmark_v0) A__questionmark_v2)) (= A__questionmark_v1 A__questionmark_v2))))
% 1.07/1.27 (assume a167 (forall ((A__questionmark_v0 |tptp.'A_c_prod_ell2$'|) (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)))))
% 1.07/1.27 (assume a168 (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$i'| A__questionmark_v1 A__questionmark_v2)))))
% 1.07/1.27 (assume a169 (forall ((A__questionmark_v0 |tptp.'Complex$'|) (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)))))
% 1.07/1.27 (assume a170 (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$z'| A__questionmark_v1 A__questionmark_v2)))))
% 1.07/1.27 (assume a171 (forall ((A__questionmark_v0 |tptp.'C_ell2_d_ell2_cblinfun_set$'|) (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)))))
% 1.07/1.27 (assume a172 (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$m'| (|tptp.'fun_app$n'| |tptp.'plus$a'| A__questionmark_v0) A__questionmark_v1)) A__questionmark_v2) (|tptp.'fun_app$m'| (|tptp.'fun_app$n'| |tptp.'plus$a'| A__questionmark_v0) (|tptp.'fun_app$m'| (|tptp.'fun_app$n'| |tptp.'plus$a'| A__questionmark_v1) A__questionmark_v2)))))
% 1.07/1.27 (assume a173 (forall ((A__questionmark_v0 |tptp.'A_c_prod_ell2_b_d_prod_ell2_cblinfun$'|) (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$b'| (|tptp.'fun_app$r'| (|tptp.'fun_app$s'| |tptp.'plus$b'| A__questionmark_v0) A__questionmark_v1)) A__questionmark_v2) (|tptp.'fun_app$r'| (|tptp.'fun_app$s'| |tptp.'plus$b'| A__questionmark_v0) (|tptp.'fun_app$r'| (|tptp.'fun_app$s'| |tptp.'plus$b'| A__questionmark_v1) A__questionmark_v2)))))
% 1.07/1.27 (assume a174 (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))))))
% 1.07/1.27 (assume a175 (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))))))
% 1.07/1.27 (assume a176 (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))))))
% 1.07/1.27 (assume a177 (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))))))
% 1.07/1.27 (assume a178 (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))))))
% 1.07/1.27 (assume a179 (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$'|) (A__questionmark_v3 |tptp.'C_ell2_d_ell2_cblinfun$'|)) (=> (= A__questionmark_v0 (|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'| A__questionmark_v3) A__questionmark_v0) (|tptp.'fun_app$m'| (|tptp.'fun_app$n'| |tptp.'plus$a'| A__questionmark_v1) (|tptp.'fun_app$m'| (|tptp.'fun_app$n'| |tptp.'plus$a'| A__questionmark_v3) A__questionmark_v2))))))
% 1.07/1.27 (assume a180 (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$'|) (A__questionmark_v3 |tptp.'A_c_prod_ell2_b_d_prod_ell2_cblinfun$'|)) (=> (= 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'| A__questionmark_v3) A__questionmark_v0) (|tptp.'fun_app$r'| (|tptp.'fun_app$s'| |tptp.'plus$b'| A__questionmark_v1) (|tptp.'fun_app$r'| (|tptp.'fun_app$s'| |tptp.'plus$b'| A__questionmark_v3) A__questionmark_v2))))))
% 1.07/1.27 (assume a181 (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))))))
% 1.07/1.27 (assume a182 (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))))))
% 1.07/1.27 (assume a183 (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))))))
% 1.07/1.27 (assume a184 (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))))))
% 1.07/1.27 (assume a185 (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))))))
% 1.07/1.27 (assume a186 (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$'|) (A__questionmark_v3 |tptp.'C_ell2_d_ell2_cblinfun$'|)) (=> (= A__questionmark_v0 (|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'| A__questionmark_v0) A__questionmark_v3) (|tptp.'fun_app$m'| (|tptp.'fun_app$n'| |tptp.'plus$a'| A__questionmark_v1) (|tptp.'fun_app$m'| (|tptp.'fun_app$n'| |tptp.'plus$a'| A__questionmark_v2) A__questionmark_v3))))))
% 1.07/1.27 (assume a187 (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$'|) (A__questionmark_v3 |tptp.'A_c_prod_ell2_b_d_prod_ell2_cblinfun$'|)) (=> (= 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'| A__questionmark_v0) A__questionmark_v3) (|tptp.'fun_app$r'| (|tptp.'fun_app$s'| |tptp.'plus$b'| A__questionmark_v1) (|tptp.'fun_app$r'| (|tptp.'fun_app$s'| |tptp.'plus$b'| A__questionmark_v2) A__questionmark_v3))))))
% 1.07/1.27 (assume a188 (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)))))
% 1.07/1.27 (assume a189 (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)))))
% 1.07/1.27 (assume a190 (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)))))
% 1.07/1.27 (assume a191 (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$m'| A__questionmark_v1 A__questionmark_v2)))))
% 1.07/1.27 (assume a192 (forall ((A__questionmark_v0 |tptp.'D_ell2$'|) (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)))))
% 1.07/1.27 (assume a193 (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$'| A__questionmark_v1 A__questionmark_v2)))))
% 1.07/1.27 (assume a194 (forall ((A__questionmark_v0 |tptp.'A_c_prod_ell2_b_d_prod_ell2_cblinfun_set$'|) (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)))))
% 1.07/1.27 (assume a195 (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$ab'| A__questionmark_v1 A__questionmark_v2)))))
% 1.07/1.27 (assume a196 (forall ((A__questionmark_v0 |tptp.'C_ell2_d_ell2_cblinfun$'|) (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.'fun_app$n'| |tptp.'plus$a'| A__questionmark_v0) A__questionmark_v1)) A__questionmark_v2) (|tptp.'fun_app$m'| (|tptp.'fun_app$n'| |tptp.'plus$a'| A__questionmark_v0) (|tptp.'fun_app$m'| (|tptp.'fun_app$n'| |tptp.'plus$a'| A__questionmark_v1) A__questionmark_v2)))))
% 1.07/1.27 (assume a197 (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.'fun_app$r'| (|tptp.'fun_app$s'| |tptp.'plus$b'| A__questionmark_v0) A__questionmark_v1)) A__questionmark_v2) (|tptp.'fun_app$r'| (|tptp.'fun_app$s'| |tptp.'plus$b'| A__questionmark_v0) (|tptp.'fun_app$r'| (|tptp.'fun_app$s'| |tptp.'plus$b'| A__questionmark_v1) A__questionmark_v2)))))
% 1.07/1.27 (assume a198 (forall ((A__questionmark_v0 |tptp.'C_ell2_d_ell2_cblinfun_c_ell2_d_ell2_cblinfun_cblinfun$'|) (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))))
% 1.07/1.27 (assume a199 (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$c'| A__questionmark_v1) A__questionmark_v2))) (= A__questionmark_v0 A__questionmark_v1))))
% 1.07/1.27 (assume a200 (forall ((A__questionmark_v0 |tptp.'B_d_prod_ell2_a_c_prod_ell2_cblinfun$'|) (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))))
% 1.07/1.27 (assume a201 (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$b'| A__questionmark_v1) A__questionmark_v2))) (= A__questionmark_v0 A__questionmark_v1))))
% 1.07/1.27 (assume a202 (forall ((A__questionmark_v0 |tptp.'A_ell2_b_ell2_cblinfun$'|) (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))))
% 1.07/1.27 (assume a203 (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$'| A__questionmark_v1) A__questionmark_v2))) (= A__questionmark_v0 A__questionmark_v1))))
% 1.07/1.27 (assume a204 (forall ((A__questionmark_v0 |tptp.'C_ell2_d_ell2_cblinfun_c_ell2_d_ell2_cblinfun_cblinfun$'|) (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$r'| A__questionmark_v1)) (= A__questionmark_v0 A__questionmark_v1))))
% 1.07/1.27 (assume a205 (forall ((A__questionmark_v0 |tptp.'A_c_prod_a_c_prod_prod_ell2_b_d_prod_b_d_prod_prod_ell2_cblinfun$'|) (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$c'| A__questionmark_v1)) (= A__questionmark_v0 A__questionmark_v1))))
% 1.07/1.27 (assume a206 (forall ((A__questionmark_v0 |tptp.'B_d_prod_ell2_a_c_prod_ell2_cblinfun$'|) (A__questionmark_v1 |tptp.'B_d_prod_ell2_a_c_prod_ell2_cblinfun$'|)) (= (= (|tptp.'cblinfun_apply$s'| A__questionmark_v0) (|tptp.'cblinfun_apply$s'| A__questionmark_v1)) (= A__questionmark_v0 A__questionmark_v1))))
% 1.07/1.27 (assume a207 (forall ((A__questionmark_v0 |tptp.'C_ell2_d_ell2_cblinfun$'|) (A__questionmark_v1 |tptp.'C_ell2_d_ell2_cblinfun$'|)) (= (= (|tptp.'cblinfun_apply$b'| A__questionmark_v0) (|tptp.'cblinfun_apply$b'| A__questionmark_v1)) (= A__questionmark_v0 A__questionmark_v1))))
% 1.07/1.27 (assume a208 (forall ((A__questionmark_v0 |tptp.'A_ell2_b_ell2_cblinfun$'|) (A__questionmark_v1 |tptp.'A_ell2_b_ell2_cblinfun$'|)) (= (= (|tptp.'cblinfun_apply$a'| A__questionmark_v0) (|tptp.'cblinfun_apply$a'| A__questionmark_v1)) (= A__questionmark_v0 A__questionmark_v1))))
% 1.07/1.27 (assume a209 (forall ((A__questionmark_v0 |tptp.'A_c_prod_ell2_b_d_prod_ell2_cblinfun$'|) (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$'| A__questionmark_v1)) (= A__questionmark_v0 A__questionmark_v1))))
% 1.07/1.27 (assume a210 (forall ((A__questionmark_v0 |tptp.'A_ell2_b_ell2_cblinfun$'|) (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$b'| A__questionmark_v1) A__questionmark_v3)))))
% 1.07/1.27 (assume a211 (forall ((A__questionmark_v0 |tptp.'A_c_prod_ell2_b_d_prod_ell2_cblinfun$'|) (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)))))
% 1.07/1.27 (assume a212 (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)))))
% 1.07/1.27 (assume a213 (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)))))
% 1.07/1.27 (assume a214 (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)))))
% 1.07/1.27 (assume a215 (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)))))
% 1.07/1.27 (assume a216 (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)))))
% 1.07/1.27 (assume a217 (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$y'| A__questionmark_v1 A__questionmark_v3)))))
% 1.07/1.27 (assume a218 (forall ((A__questionmark_v0 |tptp.'B_ell2_b_d_prod_ell2_cblinfun$'|) (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$ab'| A__questionmark_v1 A__questionmark_v3)))))
% 1.07/1.27 (assume a219 (forall ((A__questionmark_v0 |tptp.'B_ell2_a_c_prod_ell2_cblinfun$'|) (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$ae'| A__questionmark_v1 A__questionmark_v3)))))
% 1.07/1.27 (assume a220 (forall ((A__questionmark_v0 |tptp.'A_c_prod_ell2_b_d_prod_ell2_cblinfun$'|) (A__questionmark_v1 |tptp.'A_c_prod_ell2$'|) (A__questionmark_v2 |tptp.'A_c_prod_ell2$'|)) (= (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| A__questionmark_v0) (|tptp.'plus$m'| 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_v1) (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| A__questionmark_v0) A__questionmark_v2)))))
% 1.07/1.27 (assume a221 (forall ((A__questionmark_v0 |tptp.'C_ell2_d_ell2_cblinfun_c_ell2_d_ell2_cblinfun_cblinfun$'|) (A__questionmark_v1 |tptp.'C_ell2_d_ell2_cblinfun$'|) (A__questionmark_v2 |tptp.'C_ell2_d_ell2_cblinfun$'|)) (= (|tptp.'fun_app$m'| (|tptp.'cblinfun_apply$r'| A__questionmark_v0) (|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$m'| (|tptp.'cblinfun_apply$r'| A__questionmark_v0) A__questionmark_v1)) (|tptp.'fun_app$m'| (|tptp.'cblinfun_apply$r'| A__questionmark_v0) A__questionmark_v2)))))
% 1.07/1.27 (assume a222 (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)))))
% 1.07/1.27 (assume a223 (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)))))
% 1.07/1.27 (assume a224 (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)))))
% 1.07/1.27 (assume a225 (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)))))
% 1.07/1.27 (assume a226 (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)))))
% 1.07/1.27 (assume a227 (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)))))
% 1.07/1.27 (assume a228 (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)))))
% 1.07/1.27 (assume a229 (forall ((A__questionmark_v0 |tptp.'C_ell2_d_ell2_cblinfun$'|) (A__questionmark_v1 |tptp.'C_ell2$'|) (A__questionmark_v2 |tptp.'C_ell2$'|)) (= (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| A__questionmark_v0) (|tptp.'plus$af'| A__questionmark_v1 A__questionmark_v2)) (|tptp.'plus$i'| (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| A__questionmark_v0) A__questionmark_v1) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| A__questionmark_v0) A__questionmark_v2)))))
% 1.07/1.27 (assume a230 (forall ((A__questionmark_v0 |tptp.'C_a_prod$'|) (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))))
% 1.07/1.27 (assume a231 (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$a'| A__questionmark_v1 A__questionmark_v0))))
% 1.07/1.27 (assume a232 (forall ((A__questionmark_v0 |tptp.'B_d_prod_ell2$'|) (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))))
% 1.07/1.27 (assume a233 (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$c'| A__questionmark_v1 A__questionmark_v0))))
% 1.07/1.27 (assume a234 (forall ((A__questionmark_v0 |tptp.'A$'|) (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))))
% 1.07/1.27 (assume a235 (forall ((A__questionmark_v0 |tptp.'C_a_prod_set$'|)) (= (|tptp.'collect$'| (|tptp.'uu$'| A__questionmark_v0)) A__questionmark_v0)))
% 1.07/1.27 (assume a236 (forall ((A__questionmark_v0 |tptp.'A_c_prod_set$'|)) (= (|tptp.'collect$a'| (|tptp.'uua$'| A__questionmark_v0)) A__questionmark_v0)))
% 1.07/1.27 (assume a237 (forall ((A__questionmark_v0 |tptp.'B_d_prod_ell2_set$'|)) (= (|tptp.'collect$b'| (|tptp.'uub$'| A__questionmark_v0)) A__questionmark_v0)))
% 1.07/1.27 (assume a238 (forall ((A__questionmark_v0 |tptp.'A_c_prod_ell2_set$'|)) (= (|tptp.'collect$c'| (|tptp.'uuc$'| A__questionmark_v0)) A__questionmark_v0)))
% 1.07/1.27 (assume a239 (forall ((A__questionmark_v0 |tptp.'A_set$'|)) (= (|tptp.'collect$d'| (|tptp.'uud$'| A__questionmark_v0)) A__questionmark_v0)))
% 1.07/1.27 (assume a240 (forall ((A__questionmark_v0 |tptp.'C_ell2_d_ell2_cblinfun$'|) (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.'fun_app$n'| |tptp.'plus$a'| A__questionmark_v0) A__questionmark_v1)) A__questionmark_v2) (|tptp.'fun_app$m'| (|tptp.'fun_app$n'| |tptp.'plus$a'| A__questionmark_v0) (|tptp.'fun_app$m'| (|tptp.'fun_app$n'| |tptp.'plus$a'| A__questionmark_v1) A__questionmark_v2)))))
% 1.07/1.27 (assume a241 (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.'fun_app$r'| (|tptp.'fun_app$s'| |tptp.'plus$b'| A__questionmark_v0) A__questionmark_v1)) A__questionmark_v2) (|tptp.'fun_app$r'| (|tptp.'fun_app$s'| |tptp.'plus$b'| A__questionmark_v0) (|tptp.'fun_app$r'| (|tptp.'fun_app$s'| |tptp.'plus$b'| A__questionmark_v1) A__questionmark_v2)))))
% 1.07/1.27 (assume a242 (forall ((A__questionmark_v0 |tptp.'Complex$'|) (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$'| A__questionmark_v1 A__questionmark_v3)))))
% 1.07/1.27 (assume a243 (forall ((A__questionmark_v0 |tptp.'A_c_prod_ell2$'|) (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)))))
% 1.07/1.27 (assume a244 (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$i'| A__questionmark_v1 A__questionmark_v2)))))
% 1.07/1.27 (assume a245 (forall ((A__questionmark_v0 |tptp.'Complex$'|) (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)))))
% 1.07/1.27 (assume a246 (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$z'| A__questionmark_v1 A__questionmark_v2)))))
% 1.07/1.27 (assume a247 (forall ((A__questionmark_v0 |tptp.'C_ell2_d_ell2_cblinfun_set$'|) (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)))))
% 1.07/1.27 (assume a248 (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$m'| (|tptp.'fun_app$n'| |tptp.'plus$a'| A__questionmark_v0) A__questionmark_v1)) A__questionmark_v2) (|tptp.'fun_app$m'| (|tptp.'fun_app$n'| |tptp.'plus$a'| A__questionmark_v0) (|tptp.'fun_app$m'| (|tptp.'fun_app$n'| |tptp.'plus$a'| A__questionmark_v1) A__questionmark_v2)))))
% 1.07/1.27 (assume a249 (forall ((A__questionmark_v0 |tptp.'A_c_prod_ell2_b_d_prod_ell2_cblinfun$'|) (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$b'| (|tptp.'fun_app$r'| (|tptp.'fun_app$s'| |tptp.'plus$b'| A__questionmark_v0) A__questionmark_v1)) A__questionmark_v2) (|tptp.'fun_app$r'| (|tptp.'fun_app$s'| |tptp.'plus$b'| A__questionmark_v0) (|tptp.'fun_app$r'| (|tptp.'fun_app$s'| |tptp.'plus$b'| A__questionmark_v1) A__questionmark_v2)))))
% 1.07/1.27 (assume a250 (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))))
% 1.07/1.27 (assume a251 (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))))
% 1.07/1.27 (assume a252 (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))))
% 1.07/1.27 (assume a253 (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))))
% 1.07/1.27 (assume a254 (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))))
% 1.07/1.27 (assume a255 (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))))
% 1.07/1.27 (assume a256 (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))))
% 1.07/1.27 (assume a257 (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$m'| A__questionmark_v0 A__questionmark_v2)))))
% 1.07/1.27 (assume a258 (forall ((A__questionmark_v0 |tptp.'D_ell2$'|) (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)))))
% 1.07/1.27 (assume a259 (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$'| A__questionmark_v0 A__questionmark_v2)))))
% 1.07/1.27 (assume a260 (forall ((A__questionmark_v0 |tptp.'A_c_prod_ell2_b_d_prod_ell2_cblinfun_set$'|) (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)))))
% 1.07/1.27 (assume a261 (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$ab'| A__questionmark_v0 A__questionmark_v2)))))
% 1.07/1.27 (assume a262 (forall ((A__questionmark_v0 |tptp.'C_ell2_d_ell2_cblinfun$'|) (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$a'| A__questionmark_v0) (|tptp.'fun_app$m'| (|tptp.'fun_app$n'| |tptp.'plus$a'| A__questionmark_v1) A__questionmark_v2)) (|tptp.'fun_app$m'| (|tptp.'fun_app$n'| |tptp.'plus$a'| A__questionmark_v1) (|tptp.'fun_app$m'| (|tptp.'fun_app$n'| |tptp.'plus$a'| A__questionmark_v0) A__questionmark_v2)))))
% 1.07/1.27 (assume a263 (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) (|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'| A__questionmark_v1) (|tptp.'fun_app$r'| (|tptp.'fun_app$s'| |tptp.'plus$b'| A__questionmark_v0) A__questionmark_v2)))))
% 1.07/1.27 (assume a264 (forall ((A__questionmark_v0 |tptp.'Complex$'|) (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)))))
% 1.07/1.27 (assume a265 (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))))
% 1.07/1.27 (assume a266 (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$'| A__questionmark_v0 A__questionmark_v2)))))
% 1.07/1.27 (assume a267 (forall ((A__questionmark_v0 |tptp.'Complex$'|) (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)))))
% 1.07/1.27 (assume a268 (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)))))
% 1.07/1.27 (assume a269 (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)))
% 1.07/1.27 (assume a270 (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))))
% 1.07/1.27 (assume a271 (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))))
% 1.07/1.27 (assume a272 (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))))
% 1.07/1.27 (assume a273 (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))))
% 1.07/1.27 (assume a274 (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))))
% 1.07/1.27 (assume a275 (forall ((A__questionmark_v0 |tptp.'A$'|) (A__questionmark_v1 |tptp.'C$'|) (A__questionmark_v2 |tptp.'A_c_prod_set$'|) (A__questionmark_v3 |tptp.'C$'|)) (=> (and (|tptp.'member$a'| (|tptp.'fun_app$p'| (|tptp.'fun_app$q'| |tptp.'pair$'| A__questionmark_v0) A__questionmark_v1) A__questionmark_v2) (= A__questionmark_v3 A__questionmark_v1)) (|tptp.'member$a'| (|tptp.'fun_app$p'| (|tptp.'fun_app$q'| |tptp.'pair$'| A__questionmark_v0) A__questionmark_v3) A__questionmark_v2))))
% 1.07/1.27 (assume a276 (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$'| A__questionmark_v1)))))
% 1.07/1.27 (assume a277 (forall ((A__questionmark_v0 |tptp.'C_ell2_d_ell2_cblinfun_c_ell2_d_ell2_cblinfun_prod$'|) (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)))))
% 1.07/1.27 (assume a278 (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$b'| A__questionmark_v1)))))
% 1.07/1.27 (assume a279 (forall ((A__questionmark_v0 |tptp.'A_c_prod_ell2_b_d_prod_ell2_cblinfun_c_ell2_d_ell2_cblinfun_prod$'|) (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)))))
% 1.07/1.27 (assume a280 (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$a'| A__questionmark_v1)))))
% 1.07/1.27 (assume a281 (forall ((A__questionmark_v0 |tptp.'C_ell2_d_ell2_cblinfun_a_c_prod_ell2_b_d_prod_ell2_cblinfun_prod$'|) (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)))))
% 1.07/1.27 (assume a282 (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$'| A__questionmark_v0 A__questionmark_v2))))
% 1.07/1.27 (assume a283 (forall ((A__questionmark_v0 |tptp.'A_c_prod_a_c_prod_prod_ell2_set$'|) (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))))
% 1.07/1.27 (assume a284 (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$b'| A__questionmark_v0 A__questionmark_v2))))
% 1.07/1.27 (assume a285 (forall ((A__questionmark_v0 |tptp.'C_ell2_set$'|) (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))))
% 1.07/1.27 (assume a286 (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$d'| A__questionmark_v0 A__questionmark_v2))))
% 1.07/1.27 (assume a287 (forall ((A__questionmark_v0 |tptp.'A_c_prod_ell2_set$'|) (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$e'| A__questionmark_v0 A__questionmark_v2))))
% 1.07/1.27 (assume a288 (forall ((A__questionmark_v0 |tptp.'A_c_prod_ell2_b_d_prod_ell2_cblinfun_c_ell2_d_ell2_cblinfun_prod_bool_fun$'|) (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$a'| A__questionmark_v0) A__questionmark_v1) A__questionmark_v2))))
% 1.07/1.27 (assume a289 (forall ((A__questionmark_v0 |tptp.'C_ell2_d_ell2_cblinfun_a_c_prod_ell2_b_d_prod_ell2_cblinfun_prod_bool_fun$'|) (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$b'| A__questionmark_v0) A__questionmark_v1) A__questionmark_v2))))
% 1.07/1.27 (assume a290 (forall ((A__questionmark_v0 |tptp.'C_ell2_d_ell2_cblinfun_c_ell2_d_ell2_cblinfun_prod_bool_fun$'|) (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$c'| A__questionmark_v0) A__questionmark_v1) A__questionmark_v2))))
% 1.07/1.27 (assume a291 (forall ((A__questionmark_v0 |tptp.'A_c_prod_a_c_prod_prod_bool_fun$'|) (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$d'| A__questionmark_v0) A__questionmark_v1) A__questionmark_v2))))
% 1.07/1.27 (assume a292 (forall ((A__questionmark_v0 |tptp.'C_a_prod_bool_fun$'|) (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$e'| A__questionmark_v0) A__questionmark_v1) A__questionmark_v2))))
% 1.07/1.27 (assume a293 (forall ((A__questionmark_v0 |tptp.'A_c_prod_bool_fun$'|) (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$'| A__questionmark_v0) A__questionmark_v1) A__questionmark_v2))))
% 1.07/1.27 (assume a294 (forall ((A__questionmark_v0 |tptp.'A_c_prod_a_c_prod_prod$'|)) (= (|tptp.'pair$k'| (|tptp.'fst$c'| A__questionmark_v0) (|tptp.'snd$c'| A__questionmark_v0)) A__questionmark_v0)))
% 1.07/1.27 (assume a295 (forall ((A__questionmark_v0 |tptp.'A_c_prod_ell2_b_d_prod_ell2_cblinfun_c_ell2_d_ell2_cblinfun_prod$'|)) (= (|tptp.'pair$c'| (|tptp.'fst$b'| A__questionmark_v0) (|tptp.'snd$'| A__questionmark_v0)) A__questionmark_v0)))
% 1.07/1.27 (assume a296 (forall ((A__questionmark_v0 |tptp.'C_ell2_d_ell2_cblinfun_a_c_prod_ell2_b_d_prod_ell2_cblinfun_prod$'|)) (= (|tptp.'pair$b'| (|tptp.'fst$'| A__questionmark_v0) (|tptp.'snd$b'| A__questionmark_v0)) A__questionmark_v0)))
% 1.07/1.27 (assume a297 (forall ((A__questionmark_v0 |tptp.'C_ell2_d_ell2_cblinfun_c_ell2_d_ell2_cblinfun_prod$'|)) (= (|tptp.'pair$a'| (|tptp.'fst$a'| A__questionmark_v0) (|tptp.'snd$a'| A__questionmark_v0)) A__questionmark_v0)))
% 1.07/1.27 (assume a298 (forall ((A__questionmark_v0 |tptp.'C_a_prod$'|)) (= (|tptp.'pair$l'| (|tptp.'fst$d'| A__questionmark_v0) (|tptp.'snd$d'| A__questionmark_v0)) A__questionmark_v0)))
% 1.07/1.27 (assume a299 (forall ((A__questionmark_v0 |tptp.'A_c_prod$'|)) (= (|tptp.'fun_app$p'| (|tptp.'fun_app$q'| |tptp.'pair$'| (|tptp.'fst$e'| A__questionmark_v0)) (|tptp.'snd$e'| A__questionmark_v0)) A__questionmark_v0)))
% 1.07/1.27 (assume a300 (forall ((A__questionmark_v0 |tptp.'A_c_prod_a_c_prod_prod$'|)) (= A__questionmark_v0 (|tptp.'pair$k'| (|tptp.'fst$c'| A__questionmark_v0) (|tptp.'snd$c'| A__questionmark_v0)))))
% 1.07/1.27 (assume a301 (forall ((A__questionmark_v0 |tptp.'A_c_prod_ell2_b_d_prod_ell2_cblinfun_c_ell2_d_ell2_cblinfun_prod$'|)) (= A__questionmark_v0 (|tptp.'pair$c'| (|tptp.'fst$b'| A__questionmark_v0) (|tptp.'snd$'| A__questionmark_v0)))))
% 1.07/1.27 (assume a302 (forall ((A__questionmark_v0 |tptp.'C_ell2_d_ell2_cblinfun_a_c_prod_ell2_b_d_prod_ell2_cblinfun_prod$'|)) (= A__questionmark_v0 (|tptp.'pair$b'| (|tptp.'fst$'| A__questionmark_v0) (|tptp.'snd$b'| A__questionmark_v0)))))
% 1.07/1.27 (assume a303 (forall ((A__questionmark_v0 |tptp.'C_ell2_d_ell2_cblinfun_c_ell2_d_ell2_cblinfun_prod$'|)) (= A__questionmark_v0 (|tptp.'pair$a'| (|tptp.'fst$a'| A__questionmark_v0) (|tptp.'snd$a'| A__questionmark_v0)))))
% 1.07/1.27 (assume a304 (forall ((A__questionmark_v0 |tptp.'C_a_prod$'|)) (= A__questionmark_v0 (|tptp.'pair$l'| (|tptp.'fst$d'| A__questionmark_v0) (|tptp.'snd$d'| A__questionmark_v0)))))
% 1.07/1.27 (assume a305 (forall ((A__questionmark_v0 |tptp.'A_c_prod$'|)) (= A__questionmark_v0 (|tptp.'fun_app$p'| (|tptp.'fun_app$q'| |tptp.'pair$'| (|tptp.'fst$e'| A__questionmark_v0)) (|tptp.'snd$e'| A__questionmark_v0)))))
% 1.07/1.27 (assume a306 (forall ((A__questionmark_v0 |tptp.'A_c_prod_a_c_prod_prod$'|)) (=> (=> (= A__questionmark_v0 (|tptp.'pair$k'| (|tptp.'fst$c'| A__questionmark_v0) (|tptp.'snd$c'| A__questionmark_v0))) false) false)))
% 1.07/1.27 (assume a307 (forall ((A__questionmark_v0 |tptp.'A_c_prod_ell2_b_d_prod_ell2_cblinfun_c_ell2_d_ell2_cblinfun_prod$'|)) (=> (=> (= A__questionmark_v0 (|tptp.'pair$c'| (|tptp.'fst$b'| A__questionmark_v0) (|tptp.'snd$'| A__questionmark_v0))) false) false)))
% 1.07/1.27 (assume a308 (forall ((A__questionmark_v0 |tptp.'C_ell2_d_ell2_cblinfun_a_c_prod_ell2_b_d_prod_ell2_cblinfun_prod$'|)) (=> (=> (= A__questionmark_v0 (|tptp.'pair$b'| (|tptp.'fst$'| A__questionmark_v0) (|tptp.'snd$b'| A__questionmark_v0))) false) false)))
% 1.07/1.27 (assume a309 (forall ((A__questionmark_v0 |tptp.'C_ell2_d_ell2_cblinfun_c_ell2_d_ell2_cblinfun_prod$'|)) (=> (=> (= A__questionmark_v0 (|tptp.'pair$a'| (|tptp.'fst$a'| A__questionmark_v0) (|tptp.'snd$a'| A__questionmark_v0))) false) false)))
% 1.07/1.27 (assume a310 (forall ((A__questionmark_v0 |tptp.'C_a_prod$'|)) (=> (=> (= A__questionmark_v0 (|tptp.'pair$l'| (|tptp.'fst$d'| A__questionmark_v0) (|tptp.'snd$d'| A__questionmark_v0))) false) false)))
% 1.07/1.27 (assume a311 (forall ((A__questionmark_v0 |tptp.'A_c_prod$'|)) (=> (=> (= A__questionmark_v0 (|tptp.'fun_app$p'| (|tptp.'fun_app$q'| |tptp.'pair$'| (|tptp.'fst$e'| A__questionmark_v0)) (|tptp.'snd$e'| A__questionmark_v0))) false) false)))
% 1.07/1.27 (assume a312 (forall ((A__questionmark_v0 |tptp.'A_c_prod_ell2_b_d_prod_ell2_cblinfun_c_ell2_d_ell2_cblinfun_bool_fun_fun$'|)) (= (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$'| A__questionmark_v1))))))
% 1.07/1.27 (assume a313 (forall ((A__questionmark_v0 |tptp.'C_ell2_d_ell2_cblinfun_a_c_prod_ell2_b_d_prod_ell2_cblinfun_bool_fun_fun$'|)) (= (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$b'| A__questionmark_v1))))))
% 1.07/1.27 (assume a314 (forall ((A__questionmark_v0 |tptp.'C_ell2_d_ell2_cblinfun_c_ell2_d_ell2_cblinfun_bool_fun_fun$'|)) (= (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$a'| A__questionmark_v1))))))
% 1.07/1.27 (assume a315 (forall ((A__questionmark_v0 |tptp.'C_a_bool_fun_fun$'|)) (= (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$d'| A__questionmark_v1))))))
% 1.07/1.27 (assume a316 (forall ((A__questionmark_v0 |tptp.'A_c_bool_fun_fun$'|)) (= (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$e'| A__questionmark_v1))))))
% 1.07/1.27 (assume a317 (forall ((A__questionmark_v0 |tptp.'A_c_prod_ell2_b_d_prod_ell2_cblinfun_c_ell2_d_ell2_cblinfun_prod$'|) (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$'| A__questionmark_v1))))))
% 1.07/1.27 (assume a318 (forall ((A__questionmark_v0 |tptp.'C_ell2_d_ell2_cblinfun_a_c_prod_ell2_b_d_prod_ell2_cblinfun_prod$'|) (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$b'| A__questionmark_v1))))))
% 1.07/1.27 (assume a319 (forall ((A__questionmark_v0 |tptp.'C_ell2_d_ell2_cblinfun_c_ell2_d_ell2_cblinfun_prod$'|) (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$a'| A__questionmark_v1))))))
% 1.07/1.27 (assume a320 (forall ((A__questionmark_v0 |tptp.'C_a_prod$'|) (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$d'| A__questionmark_v1))))))
% 1.07/1.27 (assume a321 (forall ((A__questionmark_v0 |tptp.'A_c_prod$'|) (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$e'| A__questionmark_v1))))))
% 1.07/1.27 (assume a322 (forall ((A__questionmark_v0 |tptp.'A_c_prod_ell2_b_d_prod_ell2_cblinfun_c_ell2_d_ell2_cblinfun_prod$'|) (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$'| A__questionmark_v1))) (= A__questionmark_v0 A__questionmark_v1))))
% 1.07/1.27 (assume a323 (forall ((A__questionmark_v0 |tptp.'C_ell2_d_ell2_cblinfun_a_c_prod_ell2_b_d_prod_ell2_cblinfun_prod$'|) (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$b'| A__questionmark_v1))) (= A__questionmark_v0 A__questionmark_v1))))
% 1.07/1.27 (assume a324 (forall ((A__questionmark_v0 |tptp.'C_ell2_d_ell2_cblinfun_c_ell2_d_ell2_cblinfun_prod$'|) (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$a'| A__questionmark_v1))) (= A__questionmark_v0 A__questionmark_v1))))
% 1.07/1.27 (assume a325 (forall ((A__questionmark_v0 |tptp.'C_a_prod$'|) (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$d'| A__questionmark_v1))) (= A__questionmark_v0 A__questionmark_v1))))
% 1.07/1.27 (assume a326 (forall ((A__questionmark_v0 |tptp.'A_c_prod$'|) (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$e'| A__questionmark_v1))) (= A__questionmark_v0 A__questionmark_v1))))
% 1.07/1.27 (assume a327 (forall ((A__questionmark_v0 |tptp.'A_c_prod_ell2_b_d_prod_ell2_cblinfun_c_ell2_d_ell2_cblinfun_prod$'|) (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$'| A__questionmark_v1))) (= A__questionmark_v0 A__questionmark_v1))))
% 1.07/1.27 (assume a328 (forall ((A__questionmark_v0 |tptp.'C_ell2_d_ell2_cblinfun_a_c_prod_ell2_b_d_prod_ell2_cblinfun_prod$'|) (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$b'| A__questionmark_v1))) (= A__questionmark_v0 A__questionmark_v1))))
% 1.07/1.27 (assume a329 (forall ((A__questionmark_v0 |tptp.'C_ell2_d_ell2_cblinfun_c_ell2_d_ell2_cblinfun_prod$'|) (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$a'| A__questionmark_v1))) (= A__questionmark_v0 A__questionmark_v1))))
% 1.07/1.27 (assume a330 (forall ((A__questionmark_v0 |tptp.'C_a_prod$'|) (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$d'| A__questionmark_v1))) (= A__questionmark_v0 A__questionmark_v1))))
% 1.07/1.27 (assume a331 (forall ((A__questionmark_v0 |tptp.'A_c_prod$'|) (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$e'| A__questionmark_v1))) (= A__questionmark_v0 A__questionmark_v1))))
% 1.07/1.27 (assume a332 (forall ((A__questionmark_v0 |tptp.'A_c_prod$'|) (A__questionmark_v1 |tptp.'A_c_prod$'|)) (= (|tptp.'snd$c'| (|tptp.'pair$k'| A__questionmark_v0 A__questionmark_v1)) A__questionmark_v1)))
% 1.07/1.27 (assume a333 (forall ((A__questionmark_v0 |tptp.'A_c_prod_ell2_b_d_prod_ell2_cblinfun$'|) (A__questionmark_v1 |tptp.'C_ell2_d_ell2_cblinfun$'|)) (= (|tptp.'snd$'| (|tptp.'pair$c'| A__questionmark_v0 A__questionmark_v1)) A__questionmark_v1)))
% 1.07/1.27 (assume a334 (forall ((A__questionmark_v0 |tptp.'C_ell2_d_ell2_cblinfun$'|) (A__questionmark_v1 |tptp.'A_c_prod_ell2_b_d_prod_ell2_cblinfun$'|)) (= (|tptp.'snd$b'| (|tptp.'pair$b'| A__questionmark_v0 A__questionmark_v1)) A__questionmark_v1)))
% 1.07/1.27 (assume a335 (forall ((A__questionmark_v0 |tptp.'C_ell2_d_ell2_cblinfun$'|) (A__questionmark_v1 |tptp.'C_ell2_d_ell2_cblinfun$'|)) (= (|tptp.'snd$a'| (|tptp.'pair$a'| A__questionmark_v0 A__questionmark_v1)) A__questionmark_v1)))
% 1.07/1.27 (assume a336 (forall ((A__questionmark_v0 |tptp.'C$'|) (A__questionmark_v1 |tptp.'A$'|)) (= (|tptp.'snd$d'| (|tptp.'pair$l'| A__questionmark_v0 A__questionmark_v1)) A__questionmark_v1)))
% 1.07/1.27 (assume a337 (forall ((A__questionmark_v0 |tptp.'A$'|) (A__questionmark_v1 |tptp.'C$'|)) (= (|tptp.'snd$e'| (|tptp.'fun_app$p'| (|tptp.'fun_app$q'| |tptp.'pair$'| A__questionmark_v0) A__questionmark_v1)) A__questionmark_v1)))
% 1.07/1.27 (assume a338 (forall ((A__questionmark_v0 |tptp.'A_c_prod$'|) (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))))
% 1.07/1.27 (assume a339 (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$c'| A__questionmark_v0 A__questionmark_v1)) A__questionmark_v2) (= A__questionmark_v1 A__questionmark_v2))))
% 1.07/1.27 (assume a340 (forall ((A__questionmark_v0 |tptp.'C_ell2_d_ell2_cblinfun$'|) (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))))
% 1.07/1.27 (assume a341 (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$a'| A__questionmark_v0 A__questionmark_v1)) A__questionmark_v2) (= A__questionmark_v1 A__questionmark_v2))))
% 1.07/1.27 (assume a342 (forall ((A__questionmark_v0 |tptp.'C$'|) (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))))
% 1.07/1.27 (assume a343 (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$'| A__questionmark_v0) A__questionmark_v1)) A__questionmark_v2) (= A__questionmark_v1 A__questionmark_v2))))
% 1.07/1.27 (assume a344 (forall ((A__questionmark_v0 |tptp.'A_c_prod$'|) (A__questionmark_v1 |tptp.'A_c_prod$'|)) (= (|tptp.'fst$c'| (|tptp.'pair$k'| A__questionmark_v0 A__questionmark_v1)) A__questionmark_v0)))
% 1.07/1.27 (assume a345 (forall ((A__questionmark_v0 |tptp.'A_c_prod_ell2_b_d_prod_ell2_cblinfun$'|) (A__questionmark_v1 |tptp.'C_ell2_d_ell2_cblinfun$'|)) (= (|tptp.'fst$b'| (|tptp.'pair$c'| A__questionmark_v0 A__questionmark_v1)) A__questionmark_v0)))
% 1.07/1.27 (assume a346 (forall ((A__questionmark_v0 |tptp.'C_ell2_d_ell2_cblinfun$'|) (A__questionmark_v1 |tptp.'A_c_prod_ell2_b_d_prod_ell2_cblinfun$'|)) (= (|tptp.'fst$'| (|tptp.'pair$b'| A__questionmark_v0 A__questionmark_v1)) A__questionmark_v0)))
% 1.07/1.27 (assume a347 (forall ((A__questionmark_v0 |tptp.'C_ell2_d_ell2_cblinfun$'|) (A__questionmark_v1 |tptp.'C_ell2_d_ell2_cblinfun$'|)) (= (|tptp.'fst$a'| (|tptp.'pair$a'| A__questionmark_v0 A__questionmark_v1)) A__questionmark_v0)))
% 1.07/1.27 (assume a348 (forall ((A__questionmark_v0 |tptp.'C$'|) (A__questionmark_v1 |tptp.'A$'|)) (= (|tptp.'fst$d'| (|tptp.'pair$l'| A__questionmark_v0 A__questionmark_v1)) A__questionmark_v0)))
% 1.07/1.27 (assume a349 (forall ((A__questionmark_v0 |tptp.'A$'|) (A__questionmark_v1 |tptp.'C$'|)) (= (|tptp.'fst$e'| (|tptp.'fun_app$p'| (|tptp.'fun_app$q'| |tptp.'pair$'| A__questionmark_v0) A__questionmark_v1)) A__questionmark_v0)))
% 1.07/1.27 (assume a350 (forall ((A__questionmark_v0 |tptp.'A_c_prod$'|) (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))))
% 1.07/1.27 (assume a351 (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$c'| A__questionmark_v0 A__questionmark_v1)) A__questionmark_v2) (= A__questionmark_v0 A__questionmark_v2))))
% 1.07/1.27 (assume a352 (forall ((A__questionmark_v0 |tptp.'C_ell2_d_ell2_cblinfun$'|) (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))))
% 1.07/1.27 (assume a353 (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$a'| A__questionmark_v0 A__questionmark_v1)) A__questionmark_v2) (= A__questionmark_v0 A__questionmark_v2))))
% 1.07/1.27 (assume a354 (forall ((A__questionmark_v0 |tptp.'C$'|) (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))))
% 1.07/1.27 (assume a355 (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$'| A__questionmark_v0) A__questionmark_v1)) A__questionmark_v2) (= A__questionmark_v0 A__questionmark_v2))))
% 1.07/1.27 (assume a356 (forall ((A__questionmark_v0 |tptp.'C_ell2_d_ell2_cblinfun_c_ell2_d_ell2_cblinfun_prod$'|) (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$a'| A__questionmark_v1))))))
% 1.07/1.27 (assume a357 (forall ((A__questionmark_v0 |tptp.'C_ell2_d_ell2_cblinfun_a_c_prod_ell2_b_d_prod_ell2_cblinfun_prod$'|) (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$b'| A__questionmark_v1))))))
% 1.07/1.27 (assume a358 (forall ((A__questionmark_v0 |tptp.'A_c_prod_ell2_b_d_prod_ell2_cblinfun_c_ell2_d_ell2_cblinfun_prod$'|) (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$'| A__questionmark_v1))))))
% 1.07/1.27 (assume a359 (forall ((A__questionmark_v0 |tptp.'A_c_prod_ell2_b_d_prod_ell2_cblinfun_a_c_prod_ell2_b_d_prod_ell2_cblinfun_prod$'|) (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$f'| A__questionmark_v1))))))
% 1.07/1.27 (assume a360 (forall ((A__questionmark_v0 |tptp.'Complex_complex_prod$'|) (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$g'| A__questionmark_v1))))))
% 1.07/1.27 (assume a361 (forall ((A__questionmark_v0 |tptp.'D_ell2_complex_prod$'|) (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$h'| A__questionmark_v1))))))
% 1.07/1.27 (assume a362 (forall ((A__questionmark_v0 |tptp.'Complex_d_ell2_prod$'|) (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$i'| A__questionmark_v1))))))
% 1.07/1.27 (assume a363 (forall ((A__questionmark_v0 |tptp.'D_ell2_d_ell2_prod$'|) (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$j'| A__questionmark_v1))))))
% 1.07/1.27 (assume a364 (forall ((A__questionmark_v0 |tptp.'A_c_prod_ell2_complex_prod$'|) (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$k'| A__questionmark_v1))))))
% 1.07/1.27 (assume a365 (forall ((A__questionmark_v0 |tptp.'Complex_a_c_prod_ell2_prod$'|) (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$l'| A__questionmark_v1))))))
% 1.07/1.27 (assume a366 (forall ((A__questionmark_v0 |tptp.'A_c_prod_ell2_b_d_prod_ell2_cblinfun_c_ell2_d_ell2_cblinfun_prod_bool_fun$'|) (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$c'| A__questionmark_v1 A__questionmark_v2)) false)) false)))
% 1.07/1.27 (assume a367 (forall ((A__questionmark_v0 |tptp.'C_ell2_d_ell2_cblinfun_a_c_prod_ell2_b_d_prod_ell2_cblinfun_prod_bool_fun$'|) (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$b'| A__questionmark_v1 A__questionmark_v2)) false)) false)))
% 1.07/1.27 (assume a368 (forall ((A__questionmark_v0 |tptp.'C_ell2_d_ell2_cblinfun_c_ell2_d_ell2_cblinfun_prod_bool_fun$'|) (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$a'| A__questionmark_v1 A__questionmark_v2)) false)) false)))
% 1.07/1.27 (assume a369 (forall ((A__questionmark_v0 |tptp.'A_c_prod_a_c_prod_prod_bool_fun$'|) (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$k'| A__questionmark_v1 A__questionmark_v2)) false)) false)))
% 1.07/1.27 (assume a370 (forall ((A__questionmark_v0 |tptp.'C_a_prod_bool_fun$'|) (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$l'| A__questionmark_v1 A__questionmark_v2)) false)) false)))
% 1.07/1.27 (assume a371 (forall ((A__questionmark_v0 |tptp.'A_c_prod_bool_fun$'|) (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$'| A__questionmark_v1) A__questionmark_v2)) false)) false)))
% 1.07/1.27 (assume a372 (forall ((A__questionmark_v0 |tptp.'A_c_prod_ell2_b_d_prod_ell2_cblinfun_c_ell2_d_ell2_cblinfun_prod_bool_fun$'|) (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$c'| A__questionmark_v1 A__questionmark_v2)))))
% 1.07/1.27 (assume a373 (forall ((A__questionmark_v0 |tptp.'C_ell2_d_ell2_cblinfun_a_c_prod_ell2_b_d_prod_ell2_cblinfun_prod_bool_fun$'|) (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$b'| A__questionmark_v1 A__questionmark_v2)))))
% 1.07/1.27 (assume a374 (forall ((A__questionmark_v0 |tptp.'C_ell2_d_ell2_cblinfun_c_ell2_d_ell2_cblinfun_prod_bool_fun$'|) (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$a'| A__questionmark_v1 A__questionmark_v2)))))
% 1.07/1.27 (assume a375 (forall ((A__questionmark_v0 |tptp.'A_c_prod_a_c_prod_prod_bool_fun$'|) (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$k'| A__questionmark_v1 A__questionmark_v2)))))
% 1.07/1.27 (assume a376 (forall ((A__questionmark_v0 |tptp.'C_a_prod_bool_fun$'|) (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$l'| A__questionmark_v1 A__questionmark_v2)))))
% 1.07/1.27 (assume a377 (forall ((A__questionmark_v0 |tptp.'A_c_prod_bool_fun$'|) (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$'| A__questionmark_v1) A__questionmark_v2)))))
% 1.07/1.27 (assume a378 (forall ((A__questionmark_v0 |tptp.'C_ell2_d_ell2_cblinfun_set$'|) (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))))))))
% 1.07/1.27 (assume a379 (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$v'| A__questionmark_v1 A__questionmark_v3))))))))
% 1.07/1.27 (assume a380 (forall ((A__questionmark_v0 |tptp.'B_d_prod_ell2_set$'|) (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))))))))
% 1.07/1.27 (assume a381 (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$u'| A__questionmark_v1 A__questionmark_v3))))))))
% 1.07/1.27 (assume a382 (forall ((A__questionmark_v0 |tptp.'A_ell2_set$'|) (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))))))))
% 1.07/1.27 (assume a383 (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))))))))
% 1.07/1.27 (assume a384 (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$m'| A__questionmark_v1 A__questionmark_v2)))))
% 1.07/1.27 (assume a385 (forall ((A__questionmark_v0 |tptp.'A_c_prod_a_c_prod_prod_ell2_set$'|) (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)))))
% 1.07/1.27 (assume a386 (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$w'| A__questionmark_v1 A__questionmark_v2)))))
% 1.07/1.27 (assume a387 (forall ((A__questionmark_v0 |tptp.'C_ell2_set$'|) (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)))))
% 1.07/1.27 (assume a388 (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$t'| A__questionmark_v1 A__questionmark_v2)))))
% 1.07/1.27 (assume a389 (forall ((A__questionmark_v0 |tptp.'A_c_prod_ell2_set$'|) (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$k'| A__questionmark_v1 A__questionmark_v2)))))
% 1.07/1.27 (assume a390 (forall ((A__questionmark_v0 |tptp.'A_c_prod_a_c_prod_bool_fun_fun$'|) (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)))))
% 1.07/1.27 (assume a391 (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$'| A__questionmark_v3)))))
% 1.07/1.27 (assume a392 (forall ((A__questionmark_v0 |tptp.'C_ell2_d_ell2_cblinfun_a_c_prod_ell2_b_d_prod_ell2_cblinfun_bool_fun_fun$'|) (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)))))
% 1.07/1.27 (assume a393 (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$a'| A__questionmark_v3)))))
% 1.07/1.27 (assume a394 (forall ((A__questionmark_v0 |tptp.'C_a_bool_fun_fun$'|) (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)))))
% 1.07/1.27 (assume a395 (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$e'| A__questionmark_v3)))))
% 1.07/1.27 (assume a396 (forall ((A__questionmark_v0 |tptp.'A_c_prod_a_c_prod_prod$'|) (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))))
% 1.07/1.27 (assume a397 (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$'| A__questionmark_v0) A__questionmark_v2))))
% 1.07/1.27 (assume a398 (forall ((A__questionmark_v0 |tptp.'C_ell2_d_ell2_cblinfun_a_c_prod_ell2_b_d_prod_ell2_cblinfun_prod$'|) (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))))
% 1.07/1.27 (assume a399 (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$a'| A__questionmark_v0) A__questionmark_v2))))
% 1.07/1.27 (assume a400 (forall ((A__questionmark_v0 |tptp.'C_a_prod$'|) (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))))
% 1.07/1.27 (assume a401 (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$e'| A__questionmark_v0) A__questionmark_v2))))
% 1.07/1.27 (assume a402 (forall ((A__questionmark_v0 |tptp.'A_c_prod$'|) (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))))))
% 1.07/1.27 (assume a403 (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$c'| A__questionmark_v2 A__questionmark_v0))))))
% 1.07/1.27 (assume a404 (forall ((A__questionmark_v0 |tptp.'A_c_prod_ell2_b_d_prod_ell2_cblinfun$'|) (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))))))
% 1.07/1.27 (assume a405 (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$a'| A__questionmark_v2 A__questionmark_v0))))))
% 1.07/1.27 (assume a406 (forall ((A__questionmark_v0 |tptp.'A$'|) (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))))))
% 1.07/1.27 (assume a407 (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$'| A__questionmark_v2) A__questionmark_v0))))))
% 1.07/1.27 (assume a408 (forall ((A__questionmark_v0 |tptp.'A_c_prod_a_c_prod_prod$'|) (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))))
% 1.07/1.27 (assume a409 (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$b'| A__questionmark_v0) A__questionmark_v1))))
% 1.07/1.27 (assume a410 (forall ((A__questionmark_v0 |tptp.'C_ell2_d_ell2_cblinfun_a_c_prod_ell2_b_d_prod_ell2_cblinfun_prod$'|) (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))))
% 1.07/1.27 (assume a411 (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$a'| A__questionmark_v0) A__questionmark_v1))))
% 1.07/1.27 (assume a412 (forall ((A__questionmark_v0 |tptp.'C_a_prod$'|) (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))))
% 1.07/1.27 (assume a413 (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$e'| A__questionmark_v0) A__questionmark_v1))))
% 1.07/1.27 (assume a414 (forall ((A__questionmark_v0 |tptp.'A_c_prod$'|) (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))))))
% 1.07/1.27 (assume a415 (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$c'| A__questionmark_v0 A__questionmark_v2))))))
% 1.07/1.27 (assume a416 (forall ((A__questionmark_v0 |tptp.'C_ell2_d_ell2_cblinfun$'|) (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))))))
% 1.07/1.27 (assume a417 (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$a'| A__questionmark_v0 A__questionmark_v2))))))
% 1.07/1.27 (assume a418 (forall ((A__questionmark_v0 |tptp.'C$'|) (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))))))
% 1.07/1.27 (assume a419 (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$'| A__questionmark_v0) A__questionmark_v2))))))
% 1.07/1.27 (assume a420 (forall ((A__questionmark_v0 |tptp.'A_c_prod_a_c_prod_prod$'|)) (= (|tptp.'swap$'| A__questionmark_v0) (|tptp.'pair$k'| (|tptp.'snd$c'| A__questionmark_v0) (|tptp.'fst$c'| A__questionmark_v0)))))
% 1.07/1.27 (assume a421 (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$b'| A__questionmark_v0)))))
% 1.07/1.27 (assume a422 (forall ((A__questionmark_v0 |tptp.'C_ell2_d_ell2_cblinfun_a_c_prod_ell2_b_d_prod_ell2_cblinfun_prod$'|)) (= (|tptp.'swap$b'| A__questionmark_v0) (|tptp.'pair$c'| (|tptp.'snd$b'| A__questionmark_v0) (|tptp.'fst$'| A__questionmark_v0)))))
% 1.07/1.27 (assume a423 (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$a'| A__questionmark_v0)))))
% 1.07/1.27 (assume a424 (forall ((A__questionmark_v0 |tptp.'A_c_prod$'|)) (= (|tptp.'fun_app$ah'| |tptp.'swap$d'| A__questionmark_v0) (|tptp.'pair$l'| (|tptp.'snd$e'| A__questionmark_v0) (|tptp.'fst$e'| A__questionmark_v0)))))
% 1.07/1.27 (assume a425 (forall ((A__questionmark_v0 |tptp.'C_a_prod$'|)) (= (|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$d'| A__questionmark_v0)))))
% 1.07/1.27 (assume a426 (forall ((A__questionmark_v0 |tptp.'A_c_prod_ell2_b_d_prod_ell2_cblinfun_c_ell2_d_ell2_cblinfun_prod$'|)) (= (|tptp.'fst$'| (|tptp.'swap$a'| A__questionmark_v0)) (|tptp.'snd$'| A__questionmark_v0))))
% 1.07/1.27 (assume a427 (forall ((A__questionmark_v0 |tptp.'C_ell2_d_ell2_cblinfun_a_c_prod_ell2_b_d_prod_ell2_cblinfun_prod$'|)) (= (|tptp.'fst$b'| (|tptp.'swap$b'| A__questionmark_v0)) (|tptp.'snd$b'| A__questionmark_v0))))
% 1.07/1.27 (assume a428 (forall ((A__questionmark_v0 |tptp.'C_ell2_d_ell2_cblinfun_c_ell2_d_ell2_cblinfun_prod$'|)) (= (|tptp.'fst$a'| (|tptp.'swap$c'| A__questionmark_v0)) (|tptp.'snd$a'| A__questionmark_v0))))
% 1.07/1.27 (assume a429 (forall ((A__questionmark_v0 |tptp.'C_a_prod$'|)) (= (|tptp.'fst$e'| (|tptp.'fun_app$ai'| |tptp.'swap$e'| A__questionmark_v0)) (|tptp.'snd$d'| A__questionmark_v0))))
% 1.07/1.27 (assume a430 (forall ((A__questionmark_v0 |tptp.'A_c_prod$'|)) (= (|tptp.'fst$d'| (|tptp.'fun_app$ah'| |tptp.'swap$d'| A__questionmark_v0)) (|tptp.'snd$e'| A__questionmark_v0))))
% 1.07/1.27 (assume a431 (forall ((A__questionmark_v0 |tptp.'C_ell2_d_ell2_cblinfun$'|) (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$ab'| A__questionmark_v1 A__questionmark_v3)))))
% 1.07/1.27 (assume a432 (forall ((A__questionmark_v0 |tptp.'A_c_prod_ell2_b_d_prod_ell2_cblinfun$'|) (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$z'| A__questionmark_v1 A__questionmark_v3)))))
% 1.07/1.27 (assume a433 (forall ((A__questionmark_v0 |tptp.'A_c_prod_ell2$'|) (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$'| A__questionmark_v1) A__questionmark_v0))))
% 1.07/1.27 (assume a434 (forall ((A__questionmark_v0 |tptp.'C_ell2_d_ell2_cblinfun$'|) (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)))))
% 1.07/1.27 (assume a435 (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$a'| A__questionmark_v2 A__questionmark_v1)))))
% 1.07/1.27 (assume a436 (forall ((A__questionmark_v0 |tptp.'C$'|) (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$'| A__questionmark_v1) A__questionmark_v0))))
% 1.07/1.27 (assume a437 (forall ((A__questionmark_v0 |tptp.'A$'|) (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$l'| A__questionmark_v1 A__questionmark_v0))))
% 1.07/1.27 (assume a438 (forall ((A__questionmark_v0 |tptp.'C_ell2_d_ell2_cblinfun$'|) (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))))
% 1.07/1.27 (assume a439 (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$b'| A__questionmark_v0) A__questionmark_v1) A__questionmark_v2))))
% 1.07/1.27 (assume a440 (forall ((A__questionmark_v0 |tptp.'C$'|) (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))))
% 1.07/1.27 (assume a441 (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$l'| A__questionmark_v1 A__questionmark_v0) A__questionmark_v2))))
% 1.07/1.27 (assume a442 (forall ((A__questionmark_v0 |tptp.'A_c_prod_ell2_b_d_prod_ell2_cblinfun$'|) (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$'| A__questionmark_v0) A__questionmark_v1))))
% 1.07/1.27 (assume a443 (forall ((A__questionmark_v0 |tptp.'C_ell2_d_ell2_cblinfun$'|) (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$a'| A__questionmark_v0) A__questionmark_v2)) (|tptp.'fun_app$g'| (|tptp.'fun_app$h'| |tptp.'less_eq$'| A__questionmark_v1) A__questionmark_v2))))
% 1.07/1.27 (assume a444 (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$b'| A__questionmark_v0) A__questionmark_v2)) (|tptp.'fun_app$e'| (|tptp.'less_eq$a'| A__questionmark_v1) A__questionmark_v2))))
% 1.07/1.27 (assume a445 (forall ((A__questionmark_v0 |tptp.'C_ell2_d_ell2_cblinfun$'|) (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))))
% 1.07/1.27 (assume a446 (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$a'| A__questionmark_v0) A__questionmark_v2))))
% 1.07/1.27 (assume a447 (forall ((A__questionmark_v0 |tptp.'C_ell2_d_ell2_cblinfun$'|) (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$a'| A__questionmark_v1) A__questionmark_v3)))))
% 1.07/1.27 (assume a448 (forall ((A__questionmark_v0 |tptp.'A_c_prod_ell2_b_d_prod_ell2_cblinfun$'|) (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$b'| A__questionmark_v1) A__questionmark_v3)))))
% 1.07/1.27 (assume a449 (forall ((A__questionmark_v0 |tptp.'C_ell2_d_ell2_cblinfun$'|) (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$a'| A__questionmark_v1) A__questionmark_v3)))))
% 1.07/1.27 (assume a450 (forall ((A__questionmark_v0 |tptp.'A_c_prod_ell2_b_d_prod_ell2_cblinfun$'|) (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$b'| A__questionmark_v1) A__questionmark_v3)))))
% 1.07/1.27 (assume a451 (forall ((A__questionmark_v0 |tptp.'C_ell2_d_ell2_cblinfun$'|) (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)))))
% 1.07/1.27 (assume a452 (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)))))
% 1.07/1.27 (assume a453 (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$a'| A__questionmark_v1) A__questionmark_v3)))))
% 1.07/1.27 (assume a454 (forall ((A__questionmark_v0 |tptp.'A_c_prod_ell2_b_d_prod_ell2_cblinfun$'|) (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$b'| A__questionmark_v1) A__questionmark_v3)))))
% 1.07/1.27 (assume a455 (forall ((A__questionmark_v0 |tptp.'C_ell2_d_ell2_cblinfun$'|) (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$a'| A__questionmark_v2) A__questionmark_v0)) (|tptp.'fun_app$m'| (|tptp.'fun_app$n'| |tptp.'plus$a'| A__questionmark_v2) A__questionmark_v1)))))
% 1.07/1.27 (assume a456 (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_v2) A__questionmark_v0)) (|tptp.'fun_app$r'| (|tptp.'fun_app$s'| |tptp.'plus$b'| A__questionmark_v2) A__questionmark_v1)))))
% 1.07/1.27 (assume a457 (forall ((A__questionmark_v0 |tptp.'C_ell2_d_ell2_cblinfun$'|) (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)))))
% 1.07/1.27 (assume a458 (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$b'| A__questionmark_v1) A__questionmark_v2)))))
% 1.07/1.27 (assume a459 (forall ((A__questionmark_v0 |tptp.'C_ell2_d_ell2_cblinfun$'|) (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$a'| A__questionmark_v0) A__questionmark_v2)) (|tptp.'fun_app$g'| (|tptp.'fun_app$h'| |tptp.'less_eq$'| A__questionmark_v1) A__questionmark_v2))))
% 1.07/1.27 (assume a460 (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$b'| A__questionmark_v0) A__questionmark_v2)) (|tptp.'fun_app$e'| (|tptp.'less_eq$a'| A__questionmark_v1) A__questionmark_v2))))
% 1.07/1.27 (assume a461 (forall ((A__questionmark_v0 |tptp.'C_ell2_d_ell2_cblinfun$'|) (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))))
% 1.07/1.27 (assume a462 (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$a'| A__questionmark_v0) A__questionmark_v2))))
% 1.07/1.27 (assume a463 (forall ((A__questionmark_v0 |tptp.'C_ell2_d_ell2_cblinfun$'|) (A__questionmark_v1 |tptp.'C_ell2_d_ell2_cblinfun_set$'|) (A__questionmark_v2 |tptp.'C_ell2_d_ell2_cblinfun_set$'|)) (= (|tptp.'less_eq$b'| (|tptp.'image$b'| (|tptp.'fun_app$n'| |tptp.'plus$a'| A__questionmark_v0) A__questionmark_v1) (|tptp.'image$b'| (|tptp.'fun_app$n'| |tptp.'plus$a'| A__questionmark_v0) A__questionmark_v2)) (|tptp.'less_eq$b'| A__questionmark_v1 A__questionmark_v2))))
% 1.07/1.27 (assume a464 (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$'|)) (= (|tptp.'less_eq$c'| (|tptp.'image$c'| (|tptp.'fun_app$s'| |tptp.'plus$b'| A__questionmark_v0) A__questionmark_v1) (|tptp.'image$c'| (|tptp.'fun_app$s'| |tptp.'plus$b'| A__questionmark_v0) A__questionmark_v2)) (|tptp.'less_eq$c'| A__questionmark_v1 A__questionmark_v2))))
% 1.07/1.27 (assume a465 (forall ((A__questionmark_v0 |tptp.'A_a_fun$'|) (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$al'| A__questionmark_v1 A__questionmark_v3)))))
% 1.07/1.27 (assume a466 (forall ((A__questionmark_v0 |tptp.'A_a_fun$'|) (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))))
% 1.07/1.27 (assume a467 (forall ((A__questionmark_v0 |tptp.'C_c_fun$'|) (A__questionmark_v1 |tptp.'A$'|) (A__questionmark_v2 |tptp.'C$'|)) (= (|tptp.'apsnd$'| 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$q'| |tptp.'pair$'| A__questionmark_v1) (|tptp.'fun_app$al'| A__questionmark_v0 A__questionmark_v2)))))
% 1.07/1.27 (assume a468 (forall ((A__questionmark_v0 |tptp.'A$'|) (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)))))
% 1.07/1.27 (assume a469 (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)))
% 1.07/1.27 (assume a470 (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$ak'| A__questionmark_v1 A__questionmark_v3)) A__questionmark_v4))) false))) false)))
% 1.07/1.27 (assume a471 (forall ((A__questionmark_v0 |tptp.'A_c_prod_set$'|) (A__questionmark_v1 |tptp.'A_c_prod_set$'|)) (=> (forall ((A__questionmark_v2 |tptp.'A$'|) (A__questionmark_v3 |tptp.'C$'|)) (=> (|tptp.'member$a'| (|tptp.'fun_app$p'| (|tptp.'fun_app$q'| |tptp.'pair$'| A__questionmark_v2) A__questionmark_v3) A__questionmark_v0) (|tptp.'member$a'| (|tptp.'fun_app$p'| (|tptp.'fun_app$q'| |tptp.'pair$'| A__questionmark_v2) A__questionmark_v3) A__questionmark_v1))) (|tptp.'less_eq$d'| A__questionmark_v0 A__questionmark_v1))))
% 1.07/1.27 (assume a472 (|tptp.'rel_fun$'| |tptp.'uue$'| (|tptp.'rel_fun$a'| |tptp.'uue$'| |tptp.'uue$'|) |tptp.'plus$a'| |tptp.'plus$a'|))
% 1.07/1.27 (assume a473 (|tptp.'rel_fun$b'| |tptp.'uuf$'| (|tptp.'rel_fun$c'| |tptp.'uuf$'| |tptp.'uuf$'|) |tptp.'plus$b'| |tptp.'plus$b'|))
% 1.07/1.27 (assume a474 (= (|tptp.'case_prod$'| |tptp.'pair$'|) |tptp.'id$'|))
% 1.07/1.27 (assume a475 (forall ((A__questionmark_v0 |tptp.'A_c_prod_set$'|) (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$'| A__questionmark_v1) A__questionmark_v2) A__questionmark_v0))))
% 1.07/1.27 (assume a476 (forall ((A__questionmark_v0 |tptp.'A$'|) (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$am'| A__questionmark_v3 A__questionmark_v0) A__questionmark_v1))))
% 1.07/1.27 (assume a477 (forall ((A__questionmark_v0 |tptp.'A$'|) (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$d'| A__questionmark_v0 A__questionmark_v2))))
% 1.07/1.27 (assume a478 (forall ((A__questionmark_v0 |tptp.'C_ell2_d_ell2_cblinfun$'|)) (= (|tptp.'image$b'| (|tptp.'fun_app$n'| |tptp.'plus$a'| A__questionmark_v0) |tptp.'top$'|) |tptp.'top$'|)))
% 1.07/1.27 (assume a479 (forall ((A__questionmark_v0 |tptp.'A_c_prod_ell2_b_d_prod_ell2_cblinfun$'|)) (= (|tptp.'image$c'| (|tptp.'fun_app$s'| |tptp.'plus$b'| A__questionmark_v0) |tptp.'top$a'|) |tptp.'top$a'|)))
% 1.07/1.27 (assume a480 (forall ((A__questionmark_v0 |tptp.'C_ell2_d_ell2_cblinfun$'|)) (= (|tptp.'image$b'| (|tptp.'fun_app$n'| |tptp.'plus$a'| A__questionmark_v0) |tptp.'top$'|) |tptp.'top$'|)))
% 1.07/1.27 (assume a481 (forall ((A__questionmark_v0 |tptp.'A_c_prod_ell2_b_d_prod_ell2_cblinfun$'|)) (= (|tptp.'image$c'| (|tptp.'fun_app$s'| |tptp.'plus$b'| A__questionmark_v0) |tptp.'top$a'|) |tptp.'top$a'|)))
% 1.07/1.27 (assume a482 (forall ((A__questionmark_v0 |tptp.'A_c_prod_ell2_b_d_prod_ell2_cblinfun$'|)) (=> (|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$c'|))))
% 1.07/1.27 (assume a483 (|tptp.'is_ortho_set$'| (|tptp.'image$f'| |tptp.'ket$'| |tptp.'top$d'|)))
% 1.07/1.27 (assume a484 (= (|tptp.'cspan$'| (|tptp.'image$f'| |tptp.'ket$'| |tptp.'top$d'|)) |tptp.'top$b'|))
% 1.07/1.27 (assume a485 (not (|tptp.'cdependent$'| (|tptp.'image$f'| |tptp.'ket$'| |tptp.'top$d'|))))
% 1.07/1.27 (assume a486 (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)))))
% 1.07/1.27 (assume a487 (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$'| A__questionmark_v2) A__questionmark_v3))))) (= A__questionmark_v1 A__questionmark_v2))))
% 1.07/1.27 (assume a488 (= (|tptp.'closure$'| (|tptp.'cspan$'| (|tptp.'image$f'| |tptp.'ket$'| |tptp.'top$d'|))) |tptp.'top$b'|))
% 1.07/1.27 (assume a489 (forall ((A__questionmark_v0 |tptp.'C_ell2_d_ell2_cblinfun$'|) (A__questionmark_v1 |tptp.'C_ell2_d_ell2_cblinfun_set$'|) (A__questionmark_v2 |tptp.'C_ell2_d_ell2_cblinfun$'|)) (=> (|tptp.'member$i'| A__questionmark_v0 (|tptp.'cspan$a'| A__questionmark_v1)) (= (|tptp.'member$i'| (|tptp.'fun_app$m'| (|tptp.'fun_app$n'| |tptp.'plus$a'| A__questionmark_v2) A__questionmark_v0) (|tptp.'cspan$a'| A__questionmark_v1)) (|tptp.'member$i'| A__questionmark_v2 (|tptp.'cspan$a'| A__questionmark_v1))))))
% 1.07/1.27 (assume a490 (forall ((A__questionmark_v0 |tptp.'A_c_prod_ell2_b_d_prod_ell2_cblinfun$'|) (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$j'| A__questionmark_v0 (|tptp.'cspan$b'| A__questionmark_v1)) (= (|tptp.'member$j'| (|tptp.'fun_app$r'| (|tptp.'fun_app$s'| |tptp.'plus$b'| A__questionmark_v2) A__questionmark_v0) (|tptp.'cspan$b'| A__questionmark_v1)) (|tptp.'member$j'| A__questionmark_v2 (|tptp.'cspan$b'| A__questionmark_v1))))))
% 1.07/1.27 (assume a491 (forall ((A__questionmark_v0 |tptp.'C_ell2_d_ell2_cblinfun$'|) (A__questionmark_v1 |tptp.'C_ell2_d_ell2_cblinfun_set$'|) (A__questionmark_v2 |tptp.'C_ell2_d_ell2_cblinfun$'|)) (=> (|tptp.'member$i'| A__questionmark_v0 (|tptp.'cspan$a'| A__questionmark_v1)) (= (|tptp.'member$i'| (|tptp.'fun_app$m'| (|tptp.'fun_app$n'| |tptp.'plus$a'| A__questionmark_v0) A__questionmark_v2) (|tptp.'cspan$a'| A__questionmark_v1)) (|tptp.'member$i'| A__questionmark_v2 (|tptp.'cspan$a'| A__questionmark_v1))))))
% 1.07/1.27 (assume a492 (forall ((A__questionmark_v0 |tptp.'A_c_prod_ell2_b_d_prod_ell2_cblinfun$'|) (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$j'| A__questionmark_v0 (|tptp.'cspan$b'| A__questionmark_v1)) (= (|tptp.'member$j'| (|tptp.'fun_app$r'| (|tptp.'fun_app$s'| |tptp.'plus$b'| A__questionmark_v0) A__questionmark_v2) (|tptp.'cspan$b'| A__questionmark_v1)) (|tptp.'member$j'| A__questionmark_v2 (|tptp.'cspan$b'| A__questionmark_v1))))))
% 1.07/1.27 (assume a493 (forall ((A__questionmark_v0 |tptp.'C_ell2_d_ell2_cblinfun$'|) (A__questionmark_v1 |tptp.'C_ell2_d_ell2_cblinfun_set$'|) (A__questionmark_v2 |tptp.'C_ell2_d_ell2_cblinfun$'|)) (=> (and (|tptp.'member$i'| A__questionmark_v0 (|tptp.'cspan$a'| A__questionmark_v1)) (|tptp.'member$i'| A__questionmark_v2 (|tptp.'cspan$a'| A__questionmark_v1))) (|tptp.'member$i'| (|tptp.'fun_app$m'| (|tptp.'fun_app$n'| |tptp.'plus$a'| A__questionmark_v0) A__questionmark_v2) (|tptp.'cspan$a'| A__questionmark_v1)))))
% 1.07/1.27 (assume a494 (forall ((A__questionmark_v0 |tptp.'A_c_prod_ell2_b_d_prod_ell2_cblinfun$'|) (A__questionmark_v1 |tptp.'A_c_prod_ell2_b_d_prod_ell2_cblinfun_set$'|) (A__questionmark_v2 |tptp.'A_c_prod_ell2_b_d_prod_ell2_cblinfun$'|)) (=> (and (|tptp.'member$j'| A__questionmark_v0 (|tptp.'cspan$b'| A__questionmark_v1)) (|tptp.'member$j'| A__questionmark_v2 (|tptp.'cspan$b'| A__questionmark_v1))) (|tptp.'member$j'| (|tptp.'fun_app$r'| (|tptp.'fun_app$s'| |tptp.'plus$b'| A__questionmark_v0) A__questionmark_v2) (|tptp.'cspan$b'| A__questionmark_v1)))))
% 1.07/1.27 (assume a495 (forall ((A__questionmark_v0 |tptp.'A_c_prod_ell2_set$'|) (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)))))
% 1.07/1.27 (assume a496 (forall ((A__questionmark_v0 |tptp.'C_ell2_d_ell2_cblinfun$'|) (A__questionmark_v1 |tptp.'C_ell2_d_ell2_cblinfun_set$'|)) (= (|tptp.'closure$a'| (|tptp.'image$b'| (|tptp.'fun_app$n'| |tptp.'plus$a'| A__questionmark_v0) A__questionmark_v1)) (|tptp.'image$b'| (|tptp.'fun_app$n'| |tptp.'plus$a'| A__questionmark_v0) (|tptp.'closure$a'| A__questionmark_v1)))))
% 1.07/1.27 (assume a497 (forall ((A__questionmark_v0 |tptp.'A_c_prod_ell2_b_d_prod_ell2_cblinfun$'|) (A__questionmark_v1 |tptp.'A_c_prod_ell2_b_d_prod_ell2_cblinfun_set$'|)) (= (|tptp.'closure$b'| (|tptp.'image$c'| (|tptp.'fun_app$s'| |tptp.'plus$b'| A__questionmark_v0) A__questionmark_v1)) (|tptp.'image$c'| (|tptp.'fun_app$s'| |tptp.'plus$b'| A__questionmark_v0) (|tptp.'closure$b'| A__questionmark_v1)))))
% 1.07/1.27 (assume a498 (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$'|)) (=> (and (not (|tptp.'cdependent$a'| A__questionmark_v0)) (|tptp.'member$i'| A__questionmark_v1 (|tptp.'cspan$a'| A__questionmark_v0)) (|tptp.'member$i'| A__questionmark_v2 (|tptp.'cspan$a'| A__questionmark_v0))) (= (|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$'| A__questionmark_v0 A__questionmark_v1 A__questionmark_v2)))))
% 1.07/1.27 (assume a499 (forall ((A__questionmark_v0 |tptp.'A_c_prod_ell2_b_d_prod_ell2_cblinfun_set$'|) (A__questionmark_v1 |tptp.'A_c_prod_ell2_b_d_prod_ell2_cblinfun$'|) (A__questionmark_v2 |tptp.'A_c_prod_ell2_b_d_prod_ell2_cblinfun$'|)) (=> (and (not (|tptp.'cdependent$b'| A__questionmark_v0)) (|tptp.'member$j'| A__questionmark_v1 (|tptp.'cspan$b'| A__questionmark_v0)) (|tptp.'member$j'| A__questionmark_v2 (|tptp.'cspan$b'| A__questionmark_v0))) (= (|tptp.'crepresentation$'| 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)))))
% 1.07/1.27 (assume a500 (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$j'| A__questionmark_v5 A__questionmark_v2) (forall ((A__questionmark_v6 |tptp.'A_c_prod_ell2$'|)) (=> (|tptp.'member$c'| A__questionmark_v6 A__questionmark_v0) (and (=> (= A__questionmark_v6 A__questionmark_v3) (= (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| A__questionmark_v5) A__questionmark_v6) A__questionmark_v4)) (=> (not (= A__questionmark_v6 A__questionmark_v3)) (= (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| A__questionmark_v5) A__questionmark_v6) |tptp.'zero$'|)))))))))) (= (|tptp.'cspan$b'| A__questionmark_v2) |tptp.'top$a'|))))
% 1.07/1.27 (assume a501 (forall ((A__questionmark_v0 |tptp.'C_ell2_d_ell2_cblinfun$'|)) (= (|tptp.'fun_app$m'| (|tptp.'fun_app$n'| |tptp.'plus$a'| |tptp.'zero$a'|) A__questionmark_v0) A__questionmark_v0)))
% 1.07/1.27 (assume a502 (forall ((A__questionmark_v0 |tptp.'A_c_prod_ell2_b_d_prod_ell2_cblinfun$'|)) (= (|tptp.'fun_app$r'| (|tptp.'fun_app$s'| |tptp.'plus$b'| |tptp.'zero$b'|) A__questionmark_v0) A__questionmark_v0)))
% 1.07/1.27 (assume a503 (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'|))))
% 1.07/1.27 (assume a504 (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'|))))
% 1.07/1.27 (assume a505 (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'|))))
% 1.07/1.27 (assume a506 (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'|))))
% 1.07/1.27 (assume a507 (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'|))))
% 1.07/1.27 (assume a508 (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'|))))
% 1.07/1.27 (assume a509 (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'|))))
% 1.07/1.27 (assume a510 (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'|))))
% 1.07/1.27 (assume a511 (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$a'|) A__questionmark_v0)))
% 1.07/1.27 (assume a512 (forall ((A__questionmark_v0 |tptp.'A_c_prod_ell2_b_d_prod_ell2_cblinfun$'|)) (= (|tptp.'fun_app$r'| (|tptp.'fun_app$s'| |tptp.'plus$b'| A__questionmark_v0) |tptp.'zero$b'|) A__questionmark_v0)))
% 1.07/1.27 (assume a513 (forall ((A__questionmark_v0 |tptp.'A_c_prod_ell2$'|)) (= (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| |tptp.'zero$b'|) A__questionmark_v0) |tptp.'zero$'|)))
% 1.07/1.27 (assume a514 (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$c'|) |tptp.'zero$'|)))
% 1.07/1.27 (assume a515 (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'|))))
% 1.07/1.27 (assume a516 (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'|))))
% 1.07/1.27 (assume a517 (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'|))))
% 1.07/1.27 (assume a518 (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'|))))
% 1.07/1.27 (assume a519 (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))))
% 1.07/1.27 (assume a520 (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))))
% 1.07/1.27 (assume a521 (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))))
% 1.07/1.27 (assume a522 (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))))
% 1.07/1.27 (assume a523 (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'|))))
% 1.07/1.27 (assume a524 (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'|))))
% 1.07/1.27 (assume a525 (forall ((A__questionmark_v0 |tptp.'C_ell2_d_ell2_cblinfun$'|)) (= (|tptp.'fun_app$m'| (|tptp.'fun_app$n'| |tptp.'plus$a'| |tptp.'zero$a'|) A__questionmark_v0) A__questionmark_v0)))
% 1.07/1.27 (assume a526 (forall ((A__questionmark_v0 |tptp.'A_c_prod_ell2_b_d_prod_ell2_cblinfun$'|)) (= (|tptp.'fun_app$r'| (|tptp.'fun_app$s'| |tptp.'plus$b'| |tptp.'zero$b'|) A__questionmark_v0) A__questionmark_v0)))
% 1.07/1.27 (assume a527 (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$a'|) A__questionmark_v0)))
% 1.07/1.27 (assume a528 (forall ((A__questionmark_v0 |tptp.'A_c_prod_ell2_b_d_prod_ell2_cblinfun$'|)) (= (|tptp.'fun_app$r'| (|tptp.'fun_app$s'| |tptp.'plus$b'| A__questionmark_v0) |tptp.'zero$b'|) A__questionmark_v0)))
% 1.07/1.27 (assume a529 (forall ((A__questionmark_v0 |tptp.'C_ell2_d_ell2_cblinfun$'|)) (= (|tptp.'fun_app$m'| (|tptp.'fun_app$n'| |tptp.'plus$a'| |tptp.'zero$a'|) A__questionmark_v0) A__questionmark_v0)))
% 1.07/1.27 (assume a530 (forall ((A__questionmark_v0 |tptp.'A_c_prod_ell2_b_d_prod_ell2_cblinfun$'|)) (= (|tptp.'fun_app$r'| (|tptp.'fun_app$s'| |tptp.'plus$b'| |tptp.'zero$b'|) A__questionmark_v0) A__questionmark_v0)))
% 1.07/1.27 (assume a531 (forall ((A__questionmark_v0 |tptp.'A_c_prod_ell2$'|)) (= (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| |tptp.'zero$b'|) A__questionmark_v0) |tptp.'zero$'|)))
% 1.07/1.27 (assume a532 (forall ((A__questionmark_v0 |tptp.'A_c_prod$'|)) (not (= (|tptp.'fun_app$o'| |tptp.'ket$'| A__questionmark_v0) |tptp.'zero$c'|))))
% 1.07/1.27 (assume a533 (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$b'|))))
% 1.07/1.27 (assume a534 (forall ((A__questionmark_v0 |tptp.'C_ell2_d_ell2_cblinfun$'|) (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$a'| A__questionmark_v0) A__questionmark_v1)) A__questionmark_v2))))
% 1.07/1.27 (assume a535 (forall ((A__questionmark_v0 |tptp.'A_c_prod_ell2_b_d_prod_ell2_cblinfun$'|) (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))))
% 1.07/1.27 (assume a536 (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$h'| |tptp.'less_eq$'| |tptp.'zero$a'|) A__questionmark_v0) (|tptp.'fun_app$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$'| A__questionmark_v1) (|tptp.'fun_app$m'| (|tptp.'fun_app$n'| |tptp.'plus$a'| A__questionmark_v0) A__questionmark_v2)))))
% 1.07/1.27 (assume a537 (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$a'| |tptp.'zero$b'|) A__questionmark_v0) (|tptp.'fun_app$e'| (|tptp.'less_eq$a'| A__questionmark_v1) A__questionmark_v2)) (|tptp.'fun_app$e'| (|tptp.'less_eq$a'| A__questionmark_v1) (|tptp.'fun_app$r'| (|tptp.'fun_app$s'| |tptp.'plus$b'| A__questionmark_v0) A__questionmark_v2)))))
% 1.07/1.27 (assume a538 (forall ((A__questionmark_v0 |tptp.'C_ell2_d_ell2_cblinfun$'|) (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$a'| A__questionmark_v1) A__questionmark_v0)) A__questionmark_v2))))
% 1.07/1.27 (assume a539 (forall ((A__questionmark_v0 |tptp.'A_c_prod_ell2_b_d_prod_ell2_cblinfun$'|) (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))))
% 1.07/1.27 (assume a540 (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$h'| |tptp.'less_eq$'| |tptp.'zero$a'|) A__questionmark_v0) (|tptp.'fun_app$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$'| A__questionmark_v1) (|tptp.'fun_app$m'| (|tptp.'fun_app$n'| |tptp.'plus$a'| A__questionmark_v2) A__questionmark_v0)))))
% 1.07/1.27 (assume a541 (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$a'| |tptp.'zero$b'|) A__questionmark_v0) (|tptp.'fun_app$e'| (|tptp.'less_eq$a'| A__questionmark_v1) A__questionmark_v2)) (|tptp.'fun_app$e'| (|tptp.'less_eq$a'| A__questionmark_v1) (|tptp.'fun_app$r'| (|tptp.'fun_app$s'| |tptp.'plus$b'| A__questionmark_v2) A__questionmark_v0)))))
% 1.07/1.27 (assume a542 (forall ((A__questionmark_v0 |tptp.'C_ell2_d_ell2_cblinfun$'|) (A__questionmark_v1 |tptp.'C_ell2_d_ell2_cblinfun$'|)) (=> (and (|tptp.'fun_app$g'| (|tptp.'fun_app$h'| |tptp.'less_eq$'| |tptp.'zero$a'|) A__questionmark_v0) (|tptp.'fun_app$g'| (|tptp.'fun_app$h'| |tptp.'less_eq$'| |tptp.'zero$a'|) A__questionmark_v1)) (|tptp.'fun_app$g'| (|tptp.'fun_app$h'| |tptp.'less_eq$'| |tptp.'zero$a'|) (|tptp.'fun_app$m'| (|tptp.'fun_app$n'| |tptp.'plus$a'| A__questionmark_v0) A__questionmark_v1)))))
% 1.07/1.27 (assume a543 (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'| |tptp.'zero$b'|) A__questionmark_v0) (|tptp.'fun_app$e'| (|tptp.'less_eq$a'| |tptp.'zero$b'|) A__questionmark_v1)) (|tptp.'fun_app$e'| (|tptp.'less_eq$a'| |tptp.'zero$b'|) (|tptp.'fun_app$r'| (|tptp.'fun_app$s'| |tptp.'plus$b'| A__questionmark_v0) A__questionmark_v1)))))
% 1.07/1.27 (assume a544 (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$a'|))))
% 1.07/1.27 (assume a545 (forall ((A__questionmark_v0 |tptp.'A_c_prod_ell2_b_d_prod_ell2_cblinfun$'|) (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$b'|))))
% 1.07/1.27 (assume a546 (forall ((A__questionmark_v0 |tptp.'C_ell2_d_ell2_cblinfun$'|) (A__questionmark_v1 |tptp.'C_ell2_d_ell2_cblinfun$'|)) (=> (and (|tptp.'fun_app$g'| (|tptp.'fun_app$h'| |tptp.'less_eq$'| |tptp.'zero$a'|) A__questionmark_v0) (|tptp.'fun_app$g'| (|tptp.'fun_app$h'| |tptp.'less_eq$'| |tptp.'zero$a'|) A__questionmark_v1)) (= (= (|tptp.'fun_app$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$a'|))))))
% 1.07/1.27 (assume a547 (forall ((A__questionmark_v0 |tptp.'A_c_prod_ell2_b_d_prod_ell2_cblinfun$'|) (A__questionmark_v1 |tptp.'A_c_prod_ell2_b_d_prod_ell2_cblinfun$'|)) (=> (and (|tptp.'fun_app$e'| (|tptp.'less_eq$a'| |tptp.'zero$b'|) A__questionmark_v0) (|tptp.'fun_app$e'| (|tptp.'less_eq$a'| |tptp.'zero$b'|) A__questionmark_v1)) (= (= (|tptp.'fun_app$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$b'|))))))
% 1.07/1.27 (assume a548 (forall ((A__questionmark_v0 |tptp.'C_ell2_d_ell2_cblinfun$'|) (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$a'|))))))
% 1.07/1.27 (assume a549 (forall ((A__questionmark_v0 |tptp.'A_c_prod_ell2_b_d_prod_ell2_cblinfun$'|) (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$b'|))))))
% 1.07/1.27 (assume a550 (forall ((A__questionmark_v0 |tptp.'A_c_prod_ell2$'|) (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$'| A__questionmark_v2) A__questionmark_v0) |tptp.'zero$'|))))
% 1.07/1.27 (assume a551 (forall ((A__questionmark_v0 |tptp.'C_ell2_d_ell2_cblinfun_set$'|)) (= (|tptp.'image$b'| (|tptp.'fun_app$n'| |tptp.'plus$a'| |tptp.'zero$a'|) A__questionmark_v0) A__questionmark_v0)))
% 1.07/1.27 (assume a552 (forall ((A__questionmark_v0 |tptp.'A_c_prod_ell2_b_d_prod_ell2_cblinfun_set$'|)) (= (|tptp.'image$c'| (|tptp.'fun_app$s'| |tptp.'plus$b'| |tptp.'zero$b'|) A__questionmark_v0) A__questionmark_v0)))
% 1.07/1.27 (assume a553 (forall ((A__questionmark_v0 |tptp.'C_ell2_d_ell2_cblinfun$'|)) (= (|tptp.'fun_app$m'| (|tptp.'fun_app$n'| |tptp.'plus$a'| |tptp.'zero$a'|) A__questionmark_v0) A__questionmark_v0)))
% 1.07/1.27 (assume a554 (forall ((A__questionmark_v0 |tptp.'A_c_prod_ell2_b_d_prod_ell2_cblinfun$'|)) (= (|tptp.'fun_app$r'| (|tptp.'fun_app$s'| |tptp.'plus$b'| |tptp.'zero$b'|) A__questionmark_v0) A__questionmark_v0)))
% 1.07/1.27 (assume a555 (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$a'|) A__questionmark_v0)))
% 1.07/1.27 (assume a556 (forall ((A__questionmark_v0 |tptp.'A_c_prod_ell2_b_d_prod_ell2_cblinfun$'|)) (= (|tptp.'fun_app$r'| (|tptp.'fun_app$s'| |tptp.'plus$b'| A__questionmark_v0) |tptp.'zero$b'|) A__questionmark_v0)))
% 1.07/1.27 (assume a557 (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$a'|) A__questionmark_v0)))
% 1.07/1.27 (assume a558 (forall ((A__questionmark_v0 |tptp.'A_c_prod_ell2_b_d_prod_ell2_cblinfun$'|)) (= (|tptp.'fun_app$r'| (|tptp.'fun_app$s'| |tptp.'plus$b'| A__questionmark_v0) |tptp.'zero$b'|) A__questionmark_v0)))
% 1.07/1.27 (assume a559 (= (|tptp.'ccspan$'| (|tptp.'image$f'| |tptp.'ket$'| |tptp.'top$d'|)) |tptp.'top$e'|))
% 1.07/1.27 (assume a560 (forall ((A__questionmark_v0 |tptp.'A_c_prod_ell2_set$'|) (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))))
% 1.07/1.27 (assume a561 (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)))))
% 1.07/1.27 (assume a562 (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$'|)) (= (|tptp.'cinner$'| (|tptp.'fun_app$o'| |tptp.'ket$'| A__questionmark_v2) A__questionmark_v0) (|tptp.'cinner$'| (|tptp.'fun_app$o'| |tptp.'ket$'| A__questionmark_v2) A__questionmark_v1))) (= A__questionmark_v0 A__questionmark_v1))))
% 1.07/1.27 (assume a563 (forall ((A__questionmark_v0 |tptp.'A_c_prod_ell2_set$'|) (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$'|)) (=> (and (|tptp.'member$c'| A__questionmark_v2 A__questionmark_v0) (|tptp.'member$c'| A__questionmark_v3 A__questionmark_v0)) (= (|tptp.'cinner$a'| (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| A__questionmark_v1) A__questionmark_v2) (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| A__questionmark_v1) A__questionmark_v3)) (|tptp.'cinner$'| A__questionmark_v2 A__questionmark_v3))))) (|tptp.'fun_app$e'| |tptp.'isometry$'| A__questionmark_v1))))
% 1.07/1.27 (assume a564 (forall ((A__questionmark_v0 |tptp.'B_d_prod_ell2_a_c_prod_ell2_cblinfun$'|) (A__questionmark_v1 |tptp.'B_d_prod_ell2_a_c_prod_ell2_cblinfun$'|)) (= (|tptp.'less_eq$e'| A__questionmark_v0 A__questionmark_v1) (and (=> (|tptp.'heterogenous_same_type_cblinfun$'| |tptp.'type$'| |tptp.'type$a'|) (forall ((A__questionmark_v2 |tptp.'A_c_prod_ell2$'|)) (|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 (|tptp.'heterogenous_same_type_cblinfun$'| |tptp.'type$'| |tptp.'type$a'|)) (= A__questionmark_v0 A__questionmark_v1))))))
% 1.07/1.27 (assume a565 (forall ((A__questionmark_v0 |tptp.'A_c_prod_ell2_b_d_prod_ell2_cblinfun$'|) (A__questionmark_v1 |tptp.'A_c_prod_ell2_b_d_prod_ell2_cblinfun$'|)) (= (|tptp.'fun_app$e'| (|tptp.'less_eq$a'| A__questionmark_v0) A__questionmark_v1) (and (=> (|tptp.'heterogenous_same_type_cblinfun$a'| |tptp.'type$a'| |tptp.'type$'|) (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$a'|) A__questionmark_v2)))))) (=> (not (|tptp.'heterogenous_same_type_cblinfun$a'| |tptp.'type$a'| |tptp.'type$'|)) (= A__questionmark_v0 A__questionmark_v1))))))
% 1.07/1.27 (assume a566 (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$a'| A__questionmark_v0) A__questionmark_v1)) A__questionmark_v1) A__questionmark_v0)))
% 1.07/1.27 (assume a567 (forall ((A__questionmark_v0 |tptp.'A_c_prod_ell2_b_d_prod_ell2_cblinfun$'|) (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$b'| A__questionmark_v0) A__questionmark_v1) A__questionmark_v1) A__questionmark_v0)))
% 1.07/1.27 (assume a568 (forall ((A__questionmark_v0 |tptp.'C_ell2_d_ell2_cblinfun$'|) (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))))
% 1.07/1.27 (assume a569 (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$a'| A__questionmark_v0 A__questionmark_v2))))
% 1.07/1.27 (assume a570 (forall ((A__questionmark_v0 |tptp.'C_ell2_d_ell2_cblinfun$'|) (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)))
% 1.07/1.27 (assume a571 (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)))
% 1.07/1.27 (assume a572 (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$a'| A__questionmark_v0) A__questionmark_v2)) (|tptp.'fun_app$m'| (|tptp.'minus$b'| A__questionmark_v1) A__questionmark_v2))))
% 1.07/1.27 (assume a573 (forall ((A__questionmark_v0 |tptp.'A_c_prod_ell2_b_d_prod_ell2_cblinfun$'|) (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$b'| A__questionmark_v0) A__questionmark_v2)) (|tptp.'minus$a'| A__questionmark_v1 A__questionmark_v2))))
% 1.07/1.27 (assume a574 (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$b'| A__questionmark_v0) A__questionmark_v1)) A__questionmark_v1) A__questionmark_v0)))
% 1.07/1.27 (assume a575 (forall ((A__questionmark_v0 |tptp.'A_c_prod_ell2_b_d_prod_ell2_cblinfun$'|) (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$a'| A__questionmark_v0 A__questionmark_v1)) A__questionmark_v1) A__questionmark_v0)))
% 1.07/1.27 (assume a576 (forall ((A__questionmark_v0 |tptp.'C_ell2_d_ell2_cblinfun$'|) (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)))
% 1.07/1.27 (assume a577 (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)))
% 1.07/1.27 (assume a578 (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$'|) (A__questionmark_v3 |tptp.'A_c_prod_ell2$'|)) (= (|tptp.'minus$c'| (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| A__questionmark_v0) A__questionmark_v1) (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| A__questionmark_v2) A__questionmark_v3)) (|tptp.'plus$u'| (|tptp.'plus$u'| (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| (|tptp.'minus$a'| A__questionmark_v0 A__questionmark_v2)) (|tptp.'minus$d'| A__questionmark_v1 A__questionmark_v3)) (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| (|tptp.'minus$a'| A__questionmark_v0 A__questionmark_v2)) A__questionmark_v3)) (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| A__questionmark_v2) (|tptp.'minus$d'| A__questionmark_v1 A__questionmark_v3))))))
% 1.07/1.27 (assume a579 (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)))))
% 1.07/1.27 (assume a580 (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)))))
% 1.07/1.27 (assume a581 (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$'|)) (= (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| A__questionmark_v0) (|tptp.'minus$d'| A__questionmark_v1 A__questionmark_v2)) (|tptp.'minus$c'| (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| A__questionmark_v0) A__questionmark_v1) (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| A__questionmark_v0) A__questionmark_v2)))))
% 1.07/1.27 (assume a582 (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.'minus$b'| A__questionmark_v0) A__questionmark_v1)) A__questionmark_v2) (|tptp.'fun_app$m'| (|tptp.'minus$b'| A__questionmark_v0) (|tptp.'fun_app$m'| (|tptp.'fun_app$n'| |tptp.'plus$a'| A__questionmark_v1) A__questionmark_v2)))))
% 1.07/1.27 (assume a583 (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$b'| A__questionmark_v1) A__questionmark_v2)))))
% 1.07/1.27 (assume a584 (forall ((A__questionmark_v0 |tptp.'C_ell2_d_ell2_cblinfun$'|) (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$b'| A__questionmark_v2) A__questionmark_v1)))))
% 1.07/1.27 (assume a585 (forall ((A__questionmark_v0 |tptp.'A_c_prod_ell2_b_d_prod_ell2_cblinfun$'|) (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)))))
% 1.07/1.27 (assume a586 (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.'fun_app$n'| |tptp.'plus$a'| A__questionmark_v1) A__questionmark_v2)) (|tptp.'fun_app$m'| (|tptp.'minus$b'| (|tptp.'fun_app$m'| (|tptp.'minus$b'| A__questionmark_v0) A__questionmark_v2)) A__questionmark_v1))))
% 1.07/1.27 (assume a587 (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$a'| A__questionmark_v0 A__questionmark_v2) A__questionmark_v1))))
% 1.07/1.27 (assume a588 (forall ((A__questionmark_v0 |tptp.'C_ell2_d_ell2_cblinfun$'|) (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))))
% 1.07/1.27 (assume a589 (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$b'| A__questionmark_v0) A__questionmark_v2) A__questionmark_v1))))
% 1.07/1.27 (assume a590 (forall ((A__questionmark_v0 |tptp.'C_ell2_d_ell2_cblinfun$'|) (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$a'| A__questionmark_v0) A__questionmark_v2)) A__questionmark_v1))))
% 1.07/1.27 (assume a591 (forall ((A__questionmark_v0 |tptp.'A_c_prod_ell2_b_d_prod_ell2_cblinfun$'|) (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))))
% 1.07/1.27 (assume a592 (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) (|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$a'| A__questionmark_v0) A__questionmark_v1)) A__questionmark_v2))))
% 1.07/1.27 (assume a593 (forall ((A__questionmark_v0 |tptp.'A_c_prod_ell2_b_d_prod_ell2_cblinfun$'|) (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$b'| A__questionmark_v0) (|tptp.'minus$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_v1) A__questionmark_v2))))
% 1.07/1.27 (assume a594 (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))))
% 1.07/1.27 (assume a595 (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$b'| A__questionmark_v0) A__questionmark_v2) A__questionmark_v1))))
% 1.07/1.27 (assume a596 (forall ((A__questionmark_v0 |tptp.'C_ell2_d_ell2_cblinfun$'|) (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$a'| A__questionmark_v2) A__questionmark_v1)))))
% 1.07/1.27 (assume a597 (forall ((A__questionmark_v0 |tptp.'A_c_prod_ell2_b_d_prod_ell2_cblinfun$'|) (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)))))
% 1.07/1.27 (assume a598 (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$'|) (A__questionmark_v3 |tptp.'C_ell2_d_ell2_cblinfun$'|)) (=> (= A__questionmark_v0 (|tptp.'fun_app$m'| (|tptp.'fun_app$n'| |tptp.'plus$a'| A__questionmark_v1) A__questionmark_v2)) (= (|tptp.'fun_app$m'| (|tptp.'minus$b'| A__questionmark_v0) A__questionmark_v3) (|tptp.'fun_app$m'| (|tptp.'fun_app$n'| |tptp.'plus$a'| A__questionmark_v1) (|tptp.'fun_app$m'| (|tptp.'minus$b'| A__questionmark_v2) A__questionmark_v3))))))
% 1.07/1.27 (assume a599 (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$'|) (A__questionmark_v3 |tptp.'A_c_prod_ell2_b_d_prod_ell2_cblinfun$'|)) (=> (= A__questionmark_v0 (|tptp.'fun_app$r'| (|tptp.'fun_app$s'| |tptp.'plus$b'| A__questionmark_v1) A__questionmark_v2)) (= (|tptp.'minus$a'| A__questionmark_v0 A__questionmark_v3) (|tptp.'fun_app$r'| (|tptp.'fun_app$s'| |tptp.'plus$b'| A__questionmark_v1) (|tptp.'minus$a'| A__questionmark_v2 A__questionmark_v3))))))
% 1.07/1.27 (assume a600 (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.'minus$b'| A__questionmark_v0) A__questionmark_v1)) A__questionmark_v2) (|tptp.'fun_app$m'| (|tptp.'minus$b'| A__questionmark_v0) (|tptp.'fun_app$m'| (|tptp.'fun_app$n'| |tptp.'plus$a'| A__questionmark_v1) A__questionmark_v2)))))
% 1.07/1.27 (assume a601 (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$b'| A__questionmark_v1) A__questionmark_v2)))))
% 1.07/1.27 (assume a602 (forall ((A__questionmark_v0 |tptp.'C_ell2_d_ell2_cblinfun$'|) (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$a'| A__questionmark_v0) (|tptp.'fun_app$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_v1)) A__questionmark_v2))))
% 1.07/1.27 (assume a603 (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) (|tptp.'minus$a'| A__questionmark_v1 A__questionmark_v2)) (|tptp.'minus$a'| (|tptp.'fun_app$r'| (|tptp.'fun_app$s'| |tptp.'plus$b'| A__questionmark_v0) A__questionmark_v1) A__questionmark_v2))))
% 1.07/1.27 (assume a604 (forall ((A__questionmark_v0 |tptp.'C_ell2_d_ell2_cblinfun$'|) (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$a'| A__questionmark_v2) A__questionmark_v1)))))
% 1.07/1.27 (assume a605 (forall ((A__questionmark_v0 |tptp.'A_c_prod_ell2_b_d_prod_ell2_cblinfun$'|) (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)))))
% 1.07/1.27 (assume a606 (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))))
% 1.07/1.27 (assume a607 (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$b'| A__questionmark_v0) A__questionmark_v2) A__questionmark_v1))))
% 1.07/1.27 (assume a608 (forall ((A__questionmark_v0 |tptp.'C_ell2_d_ell2_cblinfun$'|) (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$a'| A__questionmark_v0) A__questionmark_v2)) A__questionmark_v1))))
% 1.07/1.27 (assume a609 (forall ((A__questionmark_v0 |tptp.'A_c_prod_ell2_b_d_prod_ell2_cblinfun$'|) (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))))
% 1.07/1.27 (assume a610 (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$a'| A__questionmark_v0) A__questionmark_v2)) A__questionmark_v1))))
% 1.07/1.27 (assume a611 (forall ((A__questionmark_v0 |tptp.'A_c_prod_ell2_b_d_prod_ell2_cblinfun$'|) (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))))
% 1.07/1.27 (assume a612 (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))))
% 1.07/1.27 (assume a613 (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$b'| A__questionmark_v0) A__questionmark_v2)) A__questionmark_v1))))
% 1.07/1.27 (assume a614 (forall ((A__questionmark_v0 |tptp.'C_ell2_d_ell2_cblinfun$'|) (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$a'| A__questionmark_v2) A__questionmark_v1)))))
% 1.07/1.27 (assume a615 (forall ((A__questionmark_v0 |tptp.'A_c_prod_ell2_b_d_prod_ell2_cblinfun$'|) (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)))))
% 1.07/1.27 (assume a616 (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))))
% 1.07/1.27 (assume a617 (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$b'| A__questionmark_v0) A__questionmark_v2)) A__questionmark_v1))))
% 1.07/1.27 (assume a618 (forall ((A__questionmark_v0 |tptp.'C_ell2_d_ell2_cblinfun$'|) (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$a'| A__questionmark_v2) A__questionmark_v1)))))
% 1.07/1.27 (assume a619 (forall ((A__questionmark_v0 |tptp.'A_c_prod_ell2_b_d_prod_ell2_cblinfun$'|) (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)))))
% 1.07/1.27 (assume a620 (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$'|)) (= (|tptp.'image$b'| (|tptp.'fun_app$n'| |tptp.'plus$a'| A__questionmark_v0) (|tptp.'minus$e'| A__questionmark_v1 A__questionmark_v2)) (|tptp.'minus$e'| (|tptp.'image$b'| (|tptp.'fun_app$n'| |tptp.'plus$a'| A__questionmark_v0) A__questionmark_v1) (|tptp.'image$b'| (|tptp.'fun_app$n'| |tptp.'plus$a'| A__questionmark_v0) A__questionmark_v2)))))
% 1.07/1.27 (assume a621 (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$'|)) (= (|tptp.'image$c'| (|tptp.'fun_app$s'| |tptp.'plus$b'| A__questionmark_v0) (|tptp.'minus$f'| A__questionmark_v1 A__questionmark_v2)) (|tptp.'minus$f'| (|tptp.'image$c'| (|tptp.'fun_app$s'| |tptp.'plus$b'| A__questionmark_v0) A__questionmark_v1) (|tptp.'image$c'| (|tptp.'fun_app$s'| |tptp.'plus$b'| A__questionmark_v0) A__questionmark_v2)))))
% 1.07/1.27 (assume a622 (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$b'| A__questionmark_v1) A__questionmark_v3)))))
% 1.07/1.27 (assume a623 (forall ((A__questionmark_v0 |tptp.'A_c_prod_ell2_b_d_prod_ell2_cblinfun$'|) (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$a'| A__questionmark_v1 A__questionmark_v3)))))
% 1.07/1.27 (assume a624 (forall ((A__questionmark_v0 |tptp.'A_c_prod_ell2_b_d_prod_ell2_cblinfun$'|) (A__questionmark_v1 |tptp.'Complex$'|) (A__questionmark_v2 |tptp.'A_c_prod_ell2$'|)) (= (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| A__questionmark_v0) (|tptp.'scaleC$'| A__questionmark_v1 A__questionmark_v2)) (|tptp.'scaleC$a'| A__questionmark_v1 (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| A__questionmark_v0) A__questionmark_v2)))))
% 1.07/1.27 (assume a625 (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$'| A__questionmark_v1) A__questionmark_v2)))))
% 1.07/1.27 (assume a626 (forall ((A__questionmark_v0 |tptp.'Complex$'|) (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)))))
% 1.07/1.27 (assume a627 (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)))))
% 1.07/1.27 (assume a628 (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$g'| A__questionmark_v0 A__questionmark_v3)) A__questionmark_v1)) A__questionmark_v2)) A__questionmark_v4))))
% 1.07/1.27 (assume a629 (forall ((A__questionmark_v0 |tptp.'Complex$'|) (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$g'| A__questionmark_v0 A__questionmark_v3) A__questionmark_v1)) A__questionmark_v2)) A__questionmark_v4))))
% 1.07/1.27 (assume a630 (forall ((A__questionmark_v0 |tptp.'C_ell2_d_ell2_cblinfun$'|) (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))))
% 1.07/1.27 (assume a631 (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))))
% 1.07/1.27 (assume a632 (forall ((A__questionmark_v0 |tptp.'Complex$'|) (A__questionmark_v1 |tptp.'C_ell2_d_ell2_cblinfun$'|) (A__questionmark_v2 |tptp.'C_ell2_d_ell2_cblinfun$'|)) (= (|tptp.'fun_app$m'| (|tptp.'scaleC$c'| A__questionmark_v0) (|tptp.'fun_app$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'| (|tptp.'scaleC$c'| A__questionmark_v0) A__questionmark_v1)) (|tptp.'fun_app$m'| (|tptp.'scaleC$c'| A__questionmark_v0) A__questionmark_v2)))))
% 1.07/1.27 (assume a633 (forall ((A__questionmark_v0 |tptp.'Complex$'|) (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$b'| A__questionmark_v0 A__questionmark_v2)))))
% 1.07/1.27 (assume a634 (forall ((A__questionmark_v0 |tptp.'Complex$'|) (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)))))
% 1.07/1.27 (assume a635 (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)))))
% 1.07/1.27 (assume a636 (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$c'| A__questionmark_v1) A__questionmark_v2)))))
% 1.07/1.27 (assume a637 (forall ((A__questionmark_v0 |tptp.'Complex$'|) (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$b'| A__questionmark_v1 A__questionmark_v2)))))
% 1.07/1.27 (assume a638 (forall ((A__questionmark_v0 |tptp.'Complex$'|) (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)))))
% 1.07/1.27 (assume a639 (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)))))
% 1.07/1.27 (assume a640 (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)))))
% 1.07/1.27 (assume a641 (forall ((A__questionmark_v0 |tptp.'C_ell2_d_ell2_cblinfun$'|) (A__questionmark_v1 |tptp.'C_ell2_d_ell2_cblinfun$'|) (A__questionmark_v2 |tptp.'Complex$'|)) (=> (|tptp.'nO_MATCH$'| (|tptp.'fun_app$m'| (|tptp.'divide$'| A__questionmark_v0) A__questionmark_v1) A__questionmark_v2) (= (|tptp.'fun_app$m'| (|tptp.'scaleC$c'| A__questionmark_v2) (|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$m'| (|tptp.'scaleC$c'| A__questionmark_v2) A__questionmark_v0)) (|tptp.'fun_app$m'| (|tptp.'scaleC$c'| A__questionmark_v2) A__questionmark_v1))))))
% 1.07/1.27 (assume a642 (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))))))
% 1.07/1.27 (assume a643 true)
% 1.07/1.27 (step t1 (cl (not (= (or (not (not (= (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| (|tptp.'tensor_op$'| |tptp.'a$'| (|tptp.'fun_app$m'| (|tptp.'fun_app$n'| |tptp.'plus$a'| |tptp.'b1$'|) |tptp.'b2$'|))) (|tptp.'fun_app$o'| |tptp.'ket$'| (|tptp.'fun_app$p'| (|tptp.'fun_app$q'| |tptp.'pair$'| |tptp.'i$'|) |tptp.'j$'|))) (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| (|tptp.'fun_app$r'| (|tptp.'fun_app$s'| |tptp.'plus$b'| (|tptp.'tensor_op$'| |tptp.'a$'| |tptp.'b1$'|)) (|tptp.'tensor_op$'| |tptp.'a$'| |tptp.'b2$'|))) (|tptp.'fun_app$o'| |tptp.'ket$'| (|tptp.'fun_app$p'| (|tptp.'fun_app$q'| |tptp.'pair$'| |tptp.'i$'|) |tptp.'j$'|)))))) (not (= (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| (|tptp.'tensor_op$'| |tptp.'a$'| (|tptp.'fun_app$m'| (|tptp.'fun_app$n'| |tptp.'plus$a'| |tptp.'b1$'|) |tptp.'b2$'|))) (|tptp.'fun_app$o'| |tptp.'ket$'| (|tptp.'fun_app$p'| (|tptp.'fun_app$q'| |tptp.'pair$'| |tptp.'i$'|) |tptp.'j$'|))) (|tptp.'tensor_ell2$'| (|tptp.'fun_app$t'| (|tptp.'cblinfun_apply$a'| |tptp.'a$'|) (|tptp.'ket$a'| |tptp.'i$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| (|tptp.'fun_app$m'| (|tptp.'fun_app$n'| |tptp.'plus$a'| |tptp.'b1$'|) |tptp.'b2$'|)) (|tptp.'ket$b'| |tptp.'j$'|))))) (not (= (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| (|tptp.'fun_app$r'| (|tptp.'fun_app$s'| |tptp.'plus$b'| (|tptp.'tensor_op$'| |tptp.'a$'| |tptp.'b1$'|)) (|tptp.'tensor_op$'| |tptp.'a$'| |tptp.'b2$'|))) (|tptp.'fun_app$o'| |tptp.'ket$'| (|tptp.'fun_app$p'| (|tptp.'fun_app$q'| |tptp.'pair$'| |tptp.'i$'|) |tptp.'j$'|))) (|tptp.'plus$u'| (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| (|tptp.'tensor_op$'| |tptp.'a$'| |tptp.'b1$'|)) (|tptp.'fun_app$o'| |tptp.'ket$'| (|tptp.'fun_app$p'| (|tptp.'fun_app$q'| |tptp.'pair$'| |tptp.'i$'|) |tptp.'j$'|))) (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| (|tptp.'tensor_op$'| |tptp.'a$'| |tptp.'b2$'|)) (|tptp.'fun_app$o'| |tptp.'ket$'| (|tptp.'fun_app$p'| (|tptp.'fun_app$q'| |tptp.'pair$'| |tptp.'i$'|) |tptp.'j$'|)))))) (not (= (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| (|tptp.'tensor_op$'| |tptp.'a$'| |tptp.'b2$'|)) (|tptp.'fun_app$o'| |tptp.'ket$'| (|tptp.'fun_app$p'| (|tptp.'fun_app$q'| |tptp.'pair$'| |tptp.'i$'|) |tptp.'j$'|))) (|tptp.'tensor_ell2$'| (|tptp.'fun_app$t'| (|tptp.'cblinfun_apply$a'| |tptp.'a$'|) (|tptp.'ket$a'| |tptp.'i$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b2$'|) (|tptp.'ket$b'| |tptp.'j$'|))))) (not (= (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| (|tptp.'tensor_op$'| |tptp.'a$'| |tptp.'b1$'|)) (|tptp.'fun_app$o'| |tptp.'ket$'| (|tptp.'fun_app$p'| (|tptp.'fun_app$q'| |tptp.'pair$'| |tptp.'i$'|) |tptp.'j$'|))) (|tptp.'tensor_ell2$'| (|tptp.'fun_app$t'| (|tptp.'cblinfun_apply$a'| |tptp.'a$'|) (|tptp.'ket$a'| |tptp.'i$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b1$'|) (|tptp.'ket$b'| |tptp.'j$'|))))) (not (= (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| (|tptp.'fun_app$m'| (|tptp.'fun_app$n'| |tptp.'plus$a'| |tptp.'b1$'|) |tptp.'b2$'|)) (|tptp.'ket$b'| |tptp.'j$'|)) (|tptp.'plus$i'| (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b1$'|) (|tptp.'ket$b'| |tptp.'j$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b2$'|) (|tptp.'ket$b'| |tptp.'j$'|))))) (not (= (|tptp.'tensor_ell2$'| (|tptp.'fun_app$t'| (|tptp.'cblinfun_apply$a'| |tptp.'a$'|) (|tptp.'ket$a'| |tptp.'i$'|)) (|tptp.'plus$i'| (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b1$'|) (|tptp.'ket$b'| |tptp.'j$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b2$'|) (|tptp.'ket$b'| |tptp.'j$'|)))) (|tptp.'plus$u'| (|tptp.'tensor_ell2$'| (|tptp.'fun_app$t'| (|tptp.'cblinfun_apply$a'| |tptp.'a$'|) (|tptp.'ket$a'| |tptp.'i$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b1$'|) (|tptp.'ket$b'| |tptp.'j$'|))) (|tptp.'tensor_ell2$'| (|tptp.'fun_app$t'| (|tptp.'cblinfun_apply$a'| |tptp.'a$'|) (|tptp.'ket$a'| |tptp.'i$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b2$'|) (|tptp.'ket$b'| |tptp.'j$'|))))))) (or (= (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| (|tptp.'tensor_op$'| |tptp.'a$'| (|tptp.'fun_app$m'| (|tptp.'fun_app$n'| |tptp.'plus$a'| |tptp.'b1$'|) |tptp.'b2$'|))) (|tptp.'fun_app$o'| |tptp.'ket$'| (|tptp.'fun_app$p'| (|tptp.'fun_app$q'| |tptp.'pair$'| |tptp.'i$'|) |tptp.'j$'|))) (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| (|tptp.'fun_app$r'| (|tptp.'fun_app$s'| |tptp.'plus$b'| (|tptp.'tensor_op$'| |tptp.'a$'| |tptp.'b1$'|)) (|tptp.'tensor_op$'| |tptp.'a$'| |tptp.'b2$'|))) (|tptp.'fun_app$o'| |tptp.'ket$'| (|tptp.'fun_app$p'| (|tptp.'fun_app$q'| |tptp.'pair$'| |tptp.'i$'|) |tptp.'j$'|)))) (not (= (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| (|tptp.'tensor_op$'| |tptp.'a$'| (|tptp.'fun_app$m'| (|tptp.'fun_app$n'| |tptp.'plus$a'| |tptp.'b1$'|) |tptp.'b2$'|))) (|tptp.'fun_app$o'| |tptp.'ket$'| (|tptp.'fun_app$p'| (|tptp.'fun_app$q'| |tptp.'pair$'| |tptp.'i$'|) |tptp.'j$'|))) (|tptp.'tensor_ell2$'| (|tptp.'fun_app$t'| (|tptp.'cblinfun_apply$a'| |tptp.'a$'|) (|tptp.'ket$a'| |tptp.'i$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| (|tptp.'fun_app$m'| (|tptp.'fun_app$n'| |tptp.'plus$a'| |tptp.'b1$'|) |tptp.'b2$'|)) (|tptp.'ket$b'| |tptp.'j$'|))))) (not (= (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| (|tptp.'fun_app$r'| (|tptp.'fun_app$s'| |tptp.'plus$b'| (|tptp.'tensor_op$'| |tptp.'a$'| |tptp.'b1$'|)) (|tptp.'tensor_op$'| |tptp.'a$'| |tptp.'b2$'|))) (|tptp.'fun_app$o'| |tptp.'ket$'| (|tptp.'fun_app$p'| (|tptp.'fun_app$q'| |tptp.'pair$'| |tptp.'i$'|) |tptp.'j$'|))) (|tptp.'plus$u'| (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| (|tptp.'tensor_op$'| |tptp.'a$'| |tptp.'b1$'|)) (|tptp.'fun_app$o'| |tptp.'ket$'| (|tptp.'fun_app$p'| (|tptp.'fun_app$q'| |tptp.'pair$'| |tptp.'i$'|) |tptp.'j$'|))) (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| (|tptp.'tensor_op$'| |tptp.'a$'| |tptp.'b2$'|)) (|tptp.'fun_app$o'| |tptp.'ket$'| (|tptp.'fun_app$p'| (|tptp.'fun_app$q'| |tptp.'pair$'| |tptp.'i$'|) |tptp.'j$'|)))))) (not (= (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| (|tptp.'tensor_op$'| |tptp.'a$'| |tptp.'b2$'|)) (|tptp.'fun_app$o'| |tptp.'ket$'| (|tptp.'fun_app$p'| (|tptp.'fun_app$q'| |tptp.'pair$'| |tptp.'i$'|) |tptp.'j$'|))) (|tptp.'tensor_ell2$'| (|tptp.'fun_app$t'| (|tptp.'cblinfun_apply$a'| |tptp.'a$'|) (|tptp.'ket$a'| |tptp.'i$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b2$'|) (|tptp.'ket$b'| |tptp.'j$'|))))) (not (= (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| (|tptp.'tensor_op$'| |tptp.'a$'| |tptp.'b1$'|)) (|tptp.'fun_app$o'| |tptp.'ket$'| (|tptp.'fun_app$p'| (|tptp.'fun_app$q'| |tptp.'pair$'| |tptp.'i$'|) |tptp.'j$'|))) (|tptp.'tensor_ell2$'| (|tptp.'fun_app$t'| (|tptp.'cblinfun_apply$a'| |tptp.'a$'|) (|tptp.'ket$a'| |tptp.'i$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b1$'|) (|tptp.'ket$b'| |tptp.'j$'|))))) (not (= (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| (|tptp.'fun_app$m'| (|tptp.'fun_app$n'| |tptp.'plus$a'| |tptp.'b1$'|) |tptp.'b2$'|)) (|tptp.'ket$b'| |tptp.'j$'|)) (|tptp.'plus$i'| (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b1$'|) (|tptp.'ket$b'| |tptp.'j$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b2$'|) (|tptp.'ket$b'| |tptp.'j$'|))))) (not (= (|tptp.'tensor_ell2$'| (|tptp.'fun_app$t'| (|tptp.'cblinfun_apply$a'| |tptp.'a$'|) (|tptp.'ket$a'| |tptp.'i$'|)) (|tptp.'plus$i'| (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b1$'|) (|tptp.'ket$b'| |tptp.'j$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b2$'|) (|tptp.'ket$b'| |tptp.'j$'|)))) (|tptp.'plus$u'| (|tptp.'tensor_ell2$'| (|tptp.'fun_app$t'| (|tptp.'cblinfun_apply$a'| |tptp.'a$'|) (|tptp.'ket$a'| |tptp.'i$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b1$'|) (|tptp.'ket$b'| |tptp.'j$'|))) (|tptp.'tensor_ell2$'| (|tptp.'fun_app$t'| (|tptp.'cblinfun_apply$a'| |tptp.'a$'|) (|tptp.'ket$a'| |tptp.'i$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b2$'|) (|tptp.'ket$b'| |tptp.'j$'|))))))))) (not (or (not (not (= (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| (|tptp.'tensor_op$'| |tptp.'a$'| (|tptp.'fun_app$m'| (|tptp.'fun_app$n'| |tptp.'plus$a'| |tptp.'b1$'|) |tptp.'b2$'|))) (|tptp.'fun_app$o'| |tptp.'ket$'| (|tptp.'fun_app$p'| (|tptp.'fun_app$q'| |tptp.'pair$'| |tptp.'i$'|) |tptp.'j$'|))) (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| (|tptp.'fun_app$r'| (|tptp.'fun_app$s'| |tptp.'plus$b'| (|tptp.'tensor_op$'| |tptp.'a$'| |tptp.'b1$'|)) (|tptp.'tensor_op$'| |tptp.'a$'| |tptp.'b2$'|))) (|tptp.'fun_app$o'| |tptp.'ket$'| (|tptp.'fun_app$p'| (|tptp.'fun_app$q'| |tptp.'pair$'| |tptp.'i$'|) |tptp.'j$'|)))))) (not (= (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| (|tptp.'tensor_op$'| |tptp.'a$'| (|tptp.'fun_app$m'| (|tptp.'fun_app$n'| |tptp.'plus$a'| |tptp.'b1$'|) |tptp.'b2$'|))) (|tptp.'fun_app$o'| |tptp.'ket$'| (|tptp.'fun_app$p'| (|tptp.'fun_app$q'| |tptp.'pair$'| |tptp.'i$'|) |tptp.'j$'|))) (|tptp.'tensor_ell2$'| (|tptp.'fun_app$t'| (|tptp.'cblinfun_apply$a'| |tptp.'a$'|) (|tptp.'ket$a'| |tptp.'i$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| (|tptp.'fun_app$m'| (|tptp.'fun_app$n'| |tptp.'plus$a'| |tptp.'b1$'|) |tptp.'b2$'|)) (|tptp.'ket$b'| |tptp.'j$'|))))) (not (= (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| (|tptp.'fun_app$r'| (|tptp.'fun_app$s'| |tptp.'plus$b'| (|tptp.'tensor_op$'| |tptp.'a$'| |tptp.'b1$'|)) (|tptp.'tensor_op$'| |tptp.'a$'| |tptp.'b2$'|))) (|tptp.'fun_app$o'| |tptp.'ket$'| (|tptp.'fun_app$p'| (|tptp.'fun_app$q'| |tptp.'pair$'| |tptp.'i$'|) |tptp.'j$'|))) (|tptp.'plus$u'| (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| (|tptp.'tensor_op$'| |tptp.'a$'| |tptp.'b1$'|)) (|tptp.'fun_app$o'| |tptp.'ket$'| (|tptp.'fun_app$p'| (|tptp.'fun_app$q'| |tptp.'pair$'| |tptp.'i$'|) |tptp.'j$'|))) (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| (|tptp.'tensor_op$'| |tptp.'a$'| |tptp.'b2$'|)) (|tptp.'fun_app$o'| |tptp.'ket$'| (|tptp.'fun_app$p'| (|tptp.'fun_app$q'| |tptp.'pair$'| |tptp.'i$'|) |tptp.'j$'|)))))) (not (= (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| (|tptp.'tensor_op$'| |tptp.'a$'| |tptp.'b2$'|)) (|tptp.'fun_app$o'| |tptp.'ket$'| (|tptp.'fun_app$p'| (|tptp.'fun_app$q'| |tptp.'pair$'| |tptp.'i$'|) |tptp.'j$'|))) (|tptp.'tensor_ell2$'| (|tptp.'fun_app$t'| (|tptp.'cblinfun_apply$a'| |tptp.'a$'|) (|tptp.'ket$a'| |tptp.'i$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b2$'|) (|tptp.'ket$b'| |tptp.'j$'|))))) (not (= (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| (|tptp.'tensor_op$'| |tptp.'a$'| |tptp.'b1$'|)) (|tptp.'fun_app$o'| |tptp.'ket$'| (|tptp.'fun_app$p'| (|tptp.'fun_app$q'| |tptp.'pair$'| |tptp.'i$'|) |tptp.'j$'|))) (|tptp.'tensor_ell2$'| (|tptp.'fun_app$t'| (|tptp.'cblinfun_apply$a'| |tptp.'a$'|) (|tptp.'ket$a'| |tptp.'i$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b1$'|) (|tptp.'ket$b'| |tptp.'j$'|))))) (not (= (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| (|tptp.'fun_app$m'| (|tptp.'fun_app$n'| |tptp.'plus$a'| |tptp.'b1$'|) |tptp.'b2$'|)) (|tptp.'ket$b'| |tptp.'j$'|)) (|tptp.'plus$i'| (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b1$'|) (|tptp.'ket$b'| |tptp.'j$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b2$'|) (|tptp.'ket$b'| |tptp.'j$'|))))) (not (= (|tptp.'tensor_ell2$'| (|tptp.'fun_app$t'| (|tptp.'cblinfun_apply$a'| |tptp.'a$'|) (|tptp.'ket$a'| |tptp.'i$'|)) (|tptp.'plus$i'| (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b1$'|) (|tptp.'ket$b'| |tptp.'j$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b2$'|) (|tptp.'ket$b'| |tptp.'j$'|)))) (|tptp.'plus$u'| (|tptp.'tensor_ell2$'| (|tptp.'fun_app$t'| (|tptp.'cblinfun_apply$a'| |tptp.'a$'|) (|tptp.'ket$a'| |tptp.'i$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b1$'|) (|tptp.'ket$b'| |tptp.'j$'|))) (|tptp.'tensor_ell2$'| (|tptp.'fun_app$t'| (|tptp.'cblinfun_apply$a'| |tptp.'a$'|) (|tptp.'ket$a'| |tptp.'i$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b2$'|) (|tptp.'ket$b'| |tptp.'j$'|)))))))) (or (= (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| (|tptp.'tensor_op$'| |tptp.'a$'| (|tptp.'fun_app$m'| (|tptp.'fun_app$n'| |tptp.'plus$a'| |tptp.'b1$'|) |tptp.'b2$'|))) (|tptp.'fun_app$o'| |tptp.'ket$'| (|tptp.'fun_app$p'| (|tptp.'fun_app$q'| |tptp.'pair$'| |tptp.'i$'|) |tptp.'j$'|))) (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| (|tptp.'fun_app$r'| (|tptp.'fun_app$s'| |tptp.'plus$b'| (|tptp.'tensor_op$'| |tptp.'a$'| |tptp.'b1$'|)) (|tptp.'tensor_op$'| |tptp.'a$'| |tptp.'b2$'|))) (|tptp.'fun_app$o'| |tptp.'ket$'| (|tptp.'fun_app$p'| (|tptp.'fun_app$q'| |tptp.'pair$'| |tptp.'i$'|) |tptp.'j$'|)))) (not (= (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| (|tptp.'tensor_op$'| |tptp.'a$'| (|tptp.'fun_app$m'| (|tptp.'fun_app$n'| |tptp.'plus$a'| |tptp.'b1$'|) |tptp.'b2$'|))) (|tptp.'fun_app$o'| |tptp.'ket$'| (|tptp.'fun_app$p'| (|tptp.'fun_app$q'| |tptp.'pair$'| |tptp.'i$'|) |tptp.'j$'|))) (|tptp.'tensor_ell2$'| (|tptp.'fun_app$t'| (|tptp.'cblinfun_apply$a'| |tptp.'a$'|) (|tptp.'ket$a'| |tptp.'i$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| (|tptp.'fun_app$m'| (|tptp.'fun_app$n'| |tptp.'plus$a'| |tptp.'b1$'|) |tptp.'b2$'|)) (|tptp.'ket$b'| |tptp.'j$'|))))) (not (= (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| (|tptp.'fun_app$r'| (|tptp.'fun_app$s'| |tptp.'plus$b'| (|tptp.'tensor_op$'| |tptp.'a$'| |tptp.'b1$'|)) (|tptp.'tensor_op$'| |tptp.'a$'| |tptp.'b2$'|))) (|tptp.'fun_app$o'| |tptp.'ket$'| (|tptp.'fun_app$p'| (|tptp.'fun_app$q'| |tptp.'pair$'| |tptp.'i$'|) |tptp.'j$'|))) (|tptp.'plus$u'| (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| (|tptp.'tensor_op$'| |tptp.'a$'| |tptp.'b1$'|)) (|tptp.'fun_app$o'| |tptp.'ket$'| (|tptp.'fun_app$p'| (|tptp.'fun_app$q'| |tptp.'pair$'| |tptp.'i$'|) |tptp.'j$'|))) (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| (|tptp.'tensor_op$'| |tptp.'a$'| |tptp.'b2$'|)) (|tptp.'fun_app$o'| |tptp.'ket$'| (|tptp.'fun_app$p'| (|tptp.'fun_app$q'| |tptp.'pair$'| |tptp.'i$'|) |tptp.'j$'|)))))) (not (= (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| (|tptp.'tensor_op$'| |tptp.'a$'| |tptp.'b2$'|)) (|tptp.'fun_app$o'| |tptp.'ket$'| (|tptp.'fun_app$p'| (|tptp.'fun_app$q'| |tptp.'pair$'| |tptp.'i$'|) |tptp.'j$'|))) (|tptp.'tensor_ell2$'| (|tptp.'fun_app$t'| (|tptp.'cblinfun_apply$a'| |tptp.'a$'|) (|tptp.'ket$a'| |tptp.'i$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b2$'|) (|tptp.'ket$b'| |tptp.'j$'|))))) (not (= (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| (|tptp.'tensor_op$'| |tptp.'a$'| |tptp.'b1$'|)) (|tptp.'fun_app$o'| |tptp.'ket$'| (|tptp.'fun_app$p'| (|tptp.'fun_app$q'| |tptp.'pair$'| |tptp.'i$'|) |tptp.'j$'|))) (|tptp.'tensor_ell2$'| (|tptp.'fun_app$t'| (|tptp.'cblinfun_apply$a'| |tptp.'a$'|) (|tptp.'ket$a'| |tptp.'i$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b1$'|) (|tptp.'ket$b'| |tptp.'j$'|))))) (not (= (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| (|tptp.'fun_app$m'| (|tptp.'fun_app$n'| |tptp.'plus$a'| |tptp.'b1$'|) |tptp.'b2$'|)) (|tptp.'ket$b'| |tptp.'j$'|)) (|tptp.'plus$i'| (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b1$'|) (|tptp.'ket$b'| |tptp.'j$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b2$'|) (|tptp.'ket$b'| |tptp.'j$'|))))) (not (= (|tptp.'tensor_ell2$'| (|tptp.'fun_app$t'| (|tptp.'cblinfun_apply$a'| |tptp.'a$'|) (|tptp.'ket$a'| |tptp.'i$'|)) (|tptp.'plus$i'| (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b1$'|) (|tptp.'ket$b'| |tptp.'j$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b2$'|) (|tptp.'ket$b'| |tptp.'j$'|)))) (|tptp.'plus$u'| (|tptp.'tensor_ell2$'| (|tptp.'fun_app$t'| (|tptp.'cblinfun_apply$a'| |tptp.'a$'|) (|tptp.'ket$a'| |tptp.'i$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b1$'|) (|tptp.'ket$b'| |tptp.'j$'|))) (|tptp.'tensor_ell2$'| (|tptp.'fun_app$t'| (|tptp.'cblinfun_apply$a'| |tptp.'a$'|) (|tptp.'ket$a'| |tptp.'i$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b2$'|) (|tptp.'ket$b'| |tptp.'j$'|)))))))) :rule equiv_pos2)
% 1.07/1.27 (step t2 (cl (= (= (= (not (not (= (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| (|tptp.'tensor_op$'| |tptp.'a$'| (|tptp.'fun_app$m'| (|tptp.'fun_app$n'| |tptp.'plus$a'| |tptp.'b1$'|) |tptp.'b2$'|))) (|tptp.'fun_app$o'| |tptp.'ket$'| (|tptp.'fun_app$p'| (|tptp.'fun_app$q'| |tptp.'pair$'| |tptp.'i$'|) |tptp.'j$'|))) (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| (|tptp.'fun_app$r'| (|tptp.'fun_app$s'| |tptp.'plus$b'| (|tptp.'tensor_op$'| |tptp.'a$'| |tptp.'b1$'|)) (|tptp.'tensor_op$'| |tptp.'a$'| |tptp.'b2$'|))) (|tptp.'fun_app$o'| |tptp.'ket$'| (|tptp.'fun_app$p'| (|tptp.'fun_app$q'| |tptp.'pair$'| |tptp.'i$'|) |tptp.'j$'|)))))) (= (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| (|tptp.'tensor_op$'| |tptp.'a$'| (|tptp.'fun_app$m'| (|tptp.'fun_app$n'| |tptp.'plus$a'| |tptp.'b1$'|) |tptp.'b2$'|))) (|tptp.'fun_app$o'| |tptp.'ket$'| (|tptp.'fun_app$p'| (|tptp.'fun_app$q'| |tptp.'pair$'| |tptp.'i$'|) |tptp.'j$'|))) (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| (|tptp.'fun_app$r'| (|tptp.'fun_app$s'| |tptp.'plus$b'| (|tptp.'tensor_op$'| |tptp.'a$'| |tptp.'b1$'|)) (|tptp.'tensor_op$'| |tptp.'a$'| |tptp.'b2$'|))) (|tptp.'fun_app$o'| |tptp.'ket$'| (|tptp.'fun_app$p'| (|tptp.'fun_app$q'| |tptp.'pair$'| |tptp.'i$'|) |tptp.'j$'|))))) true) (= (not (not (= (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| (|tptp.'tensor_op$'| |tptp.'a$'| (|tptp.'fun_app$m'| (|tptp.'fun_app$n'| |tptp.'plus$a'| |tptp.'b1$'|) |tptp.'b2$'|))) (|tptp.'fun_app$o'| |tptp.'ket$'| (|tptp.'fun_app$p'| (|tptp.'fun_app$q'| |tptp.'pair$'| |tptp.'i$'|) |tptp.'j$'|))) (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| (|tptp.'fun_app$r'| (|tptp.'fun_app$s'| |tptp.'plus$b'| (|tptp.'tensor_op$'| |tptp.'a$'| |tptp.'b1$'|)) (|tptp.'tensor_op$'| |tptp.'a$'| |tptp.'b2$'|))) (|tptp.'fun_app$o'| |tptp.'ket$'| (|tptp.'fun_app$p'| (|tptp.'fun_app$q'| |tptp.'pair$'| |tptp.'i$'|) |tptp.'j$'|)))))) (= (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| (|tptp.'tensor_op$'| |tptp.'a$'| (|tptp.'fun_app$m'| (|tptp.'fun_app$n'| |tptp.'plus$a'| |tptp.'b1$'|) |tptp.'b2$'|))) (|tptp.'fun_app$o'| |tptp.'ket$'| (|tptp.'fun_app$p'| (|tptp.'fun_app$q'| |tptp.'pair$'| |tptp.'i$'|) |tptp.'j$'|))) (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| (|tptp.'fun_app$r'| (|tptp.'fun_app$s'| |tptp.'plus$b'| (|tptp.'tensor_op$'| |tptp.'a$'| |tptp.'b1$'|)) (|tptp.'tensor_op$'| |tptp.'a$'| |tptp.'b2$'|))) (|tptp.'fun_app$o'| |tptp.'ket$'| (|tptp.'fun_app$p'| (|tptp.'fun_app$q'| |tptp.'pair$'| |tptp.'i$'|) |tptp.'j$'|))))))) :rule equiv_simplify)
% 1.07/1.27 (step t3 (cl (not (= (= (not (not (= (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| (|tptp.'tensor_op$'| |tptp.'a$'| (|tptp.'fun_app$m'| (|tptp.'fun_app$n'| |tptp.'plus$a'| |tptp.'b1$'|) |tptp.'b2$'|))) (|tptp.'fun_app$o'| |tptp.'ket$'| (|tptp.'fun_app$p'| (|tptp.'fun_app$q'| |tptp.'pair$'| |tptp.'i$'|) |tptp.'j$'|))) (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| (|tptp.'fun_app$r'| (|tptp.'fun_app$s'| |tptp.'plus$b'| (|tptp.'tensor_op$'| |tptp.'a$'| |tptp.'b1$'|)) (|tptp.'tensor_op$'| |tptp.'a$'| |tptp.'b2$'|))) (|tptp.'fun_app$o'| |tptp.'ket$'| (|tptp.'fun_app$p'| (|tptp.'fun_app$q'| |tptp.'pair$'| |tptp.'i$'|) |tptp.'j$'|)))))) (= (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| (|tptp.'tensor_op$'| |tptp.'a$'| (|tptp.'fun_app$m'| (|tptp.'fun_app$n'| |tptp.'plus$a'| |tptp.'b1$'|) |tptp.'b2$'|))) (|tptp.'fun_app$o'| |tptp.'ket$'| (|tptp.'fun_app$p'| (|tptp.'fun_app$q'| |tptp.'pair$'| |tptp.'i$'|) |tptp.'j$'|))) (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| (|tptp.'fun_app$r'| (|tptp.'fun_app$s'| |tptp.'plus$b'| (|tptp.'tensor_op$'| |tptp.'a$'| |tptp.'b1$'|)) (|tptp.'tensor_op$'| |tptp.'a$'| |tptp.'b2$'|))) (|tptp.'fun_app$o'| |tptp.'ket$'| (|tptp.'fun_app$p'| (|tptp.'fun_app$q'| |tptp.'pair$'| |tptp.'i$'|) |tptp.'j$'|))))) true)) (= (not (not (= (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| (|tptp.'tensor_op$'| |tptp.'a$'| (|tptp.'fun_app$m'| (|tptp.'fun_app$n'| |tptp.'plus$a'| |tptp.'b1$'|) |tptp.'b2$'|))) (|tptp.'fun_app$o'| |tptp.'ket$'| (|tptp.'fun_app$p'| (|tptp.'fun_app$q'| |tptp.'pair$'| |tptp.'i$'|) |tptp.'j$'|))) (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| (|tptp.'fun_app$r'| (|tptp.'fun_app$s'| |tptp.'plus$b'| (|tptp.'tensor_op$'| |tptp.'a$'| |tptp.'b1$'|)) (|tptp.'tensor_op$'| |tptp.'a$'| |tptp.'b2$'|))) (|tptp.'fun_app$o'| |tptp.'ket$'| (|tptp.'fun_app$p'| (|tptp.'fun_app$q'| |tptp.'pair$'| |tptp.'i$'|) |tptp.'j$'|)))))) (= (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| (|tptp.'tensor_op$'| |tptp.'a$'| (|tptp.'fun_app$m'| (|tptp.'fun_app$n'| |tptp.'plus$a'| |tptp.'b1$'|) |tptp.'b2$'|))) (|tptp.'fun_app$o'| |tptp.'ket$'| (|tptp.'fun_app$p'| (|tptp.'fun_app$q'| |tptp.'pair$'| |tptp.'i$'|) |tptp.'j$'|))) (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| (|tptp.'fun_app$r'| (|tptp.'fun_app$s'| |tptp.'plus$b'| (|tptp.'tensor_op$'| |tptp.'a$'| |tptp.'b1$'|)) (|tptp.'tensor_op$'| |tptp.'a$'| |tptp.'b2$'|))) (|tptp.'fun_app$o'| |tptp.'ket$'| (|tptp.'fun_app$p'| (|tptp.'fun_app$q'| |tptp.'pair$'| |tptp.'i$'|) |tptp.'j$'|)))))) :rule equiv1 :premises (t2))
% 1.07/1.27 (step t4 (cl (= (= (not (not (= (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| (|tptp.'tensor_op$'| |tptp.'a$'| (|tptp.'fun_app$m'| (|tptp.'fun_app$n'| |tptp.'plus$a'| |tptp.'b1$'|) |tptp.'b2$'|))) (|tptp.'fun_app$o'| |tptp.'ket$'| (|tptp.'fun_app$p'| (|tptp.'fun_app$q'| |tptp.'pair$'| |tptp.'i$'|) |tptp.'j$'|))) (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| (|tptp.'fun_app$r'| (|tptp.'fun_app$s'| |tptp.'plus$b'| (|tptp.'tensor_op$'| |tptp.'a$'| |tptp.'b1$'|)) (|tptp.'tensor_op$'| |tptp.'a$'| |tptp.'b2$'|))) (|tptp.'fun_app$o'| |tptp.'ket$'| (|tptp.'fun_app$p'| (|tptp.'fun_app$q'| |tptp.'pair$'| |tptp.'i$'|) |tptp.'j$'|)))))) (= (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| (|tptp.'tensor_op$'| |tptp.'a$'| (|tptp.'fun_app$m'| (|tptp.'fun_app$n'| |tptp.'plus$a'| |tptp.'b1$'|) |tptp.'b2$'|))) (|tptp.'fun_app$o'| |tptp.'ket$'| (|tptp.'fun_app$p'| (|tptp.'fun_app$q'| |tptp.'pair$'| |tptp.'i$'|) |tptp.'j$'|))) (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| (|tptp.'fun_app$r'| (|tptp.'fun_app$s'| |tptp.'plus$b'| (|tptp.'tensor_op$'| |tptp.'a$'| |tptp.'b1$'|)) (|tptp.'tensor_op$'| |tptp.'a$'| |tptp.'b2$'|))) (|tptp.'fun_app$o'| |tptp.'ket$'| (|tptp.'fun_app$p'| (|tptp.'fun_app$q'| |tptp.'pair$'| |tptp.'i$'|) |tptp.'j$'|))))) (= (= (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| (|tptp.'tensor_op$'| |tptp.'a$'| (|tptp.'fun_app$m'| (|tptp.'fun_app$n'| |tptp.'plus$a'| |tptp.'b1$'|) |tptp.'b2$'|))) (|tptp.'fun_app$o'| |tptp.'ket$'| (|tptp.'fun_app$p'| (|tptp.'fun_app$q'| |tptp.'pair$'| |tptp.'i$'|) |tptp.'j$'|))) (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| (|tptp.'fun_app$r'| (|tptp.'fun_app$s'| |tptp.'plus$b'| (|tptp.'tensor_op$'| |tptp.'a$'| |tptp.'b1$'|)) (|tptp.'tensor_op$'| |tptp.'a$'| |tptp.'b2$'|))) (|tptp.'fun_app$o'| |tptp.'ket$'| (|tptp.'fun_app$p'| (|tptp.'fun_app$q'| |tptp.'pair$'| |tptp.'i$'|) |tptp.'j$'|)))) (not (not (= (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| (|tptp.'tensor_op$'| |tptp.'a$'| (|tptp.'fun_app$m'| (|tptp.'fun_app$n'| |tptp.'plus$a'| |tptp.'b1$'|) |tptp.'b2$'|))) (|tptp.'fun_app$o'| |tptp.'ket$'| (|tptp.'fun_app$p'| (|tptp.'fun_app$q'| |tptp.'pair$'| |tptp.'i$'|) |tptp.'j$'|))) (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| (|tptp.'fun_app$r'| (|tptp.'fun_app$s'| |tptp.'plus$b'| (|tptp.'tensor_op$'| |tptp.'a$'| |tptp.'b1$'|)) (|tptp.'tensor_op$'| |tptp.'a$'| |tptp.'b2$'|))) (|tptp.'fun_app$o'| |tptp.'ket$'| (|tptp.'fun_app$p'| (|tptp.'fun_app$q'| |tptp.'pair$'| |tptp.'i$'|) |tptp.'j$'|))))))))) :rule all_simplify)
% 1.07/1.27 (step t5 (cl (= (= (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| (|tptp.'tensor_op$'| |tptp.'a$'| (|tptp.'fun_app$m'| (|tptp.'fun_app$n'| |tptp.'plus$a'| |tptp.'b1$'|) |tptp.'b2$'|))) (|tptp.'fun_app$o'| |tptp.'ket$'| (|tptp.'fun_app$p'| (|tptp.'fun_app$q'| |tptp.'pair$'| |tptp.'i$'|) |tptp.'j$'|))) (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| (|tptp.'fun_app$r'| (|tptp.'fun_app$s'| |tptp.'plus$b'| (|tptp.'tensor_op$'| |tptp.'a$'| |tptp.'b1$'|)) (|tptp.'tensor_op$'| |tptp.'a$'| |tptp.'b2$'|))) (|tptp.'fun_app$o'| |tptp.'ket$'| (|tptp.'fun_app$p'| (|tptp.'fun_app$q'| |tptp.'pair$'| |tptp.'i$'|) |tptp.'j$'|)))) (= (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| (|tptp.'tensor_op$'| |tptp.'a$'| (|tptp.'fun_app$m'| (|tptp.'fun_app$n'| |tptp.'plus$a'| |tptp.'b1$'|) |tptp.'b2$'|))) (|tptp.'fun_app$o'| |tptp.'ket$'| (|tptp.'fun_app$p'| (|tptp.'fun_app$q'| |tptp.'pair$'| |tptp.'i$'|) |tptp.'j$'|))) (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| (|tptp.'fun_app$r'| (|tptp.'fun_app$s'| |tptp.'plus$b'| (|tptp.'tensor_op$'| |tptp.'a$'| |tptp.'b1$'|)) (|tptp.'tensor_op$'| |tptp.'a$'| |tptp.'b2$'|))) (|tptp.'fun_app$o'| |tptp.'ket$'| (|tptp.'fun_app$p'| (|tptp.'fun_app$q'| |tptp.'pair$'| |tptp.'i$'|) |tptp.'j$'|)))))) :rule refl)
% 1.07/1.27 (step t6 (cl (= (not (not (= (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| (|tptp.'tensor_op$'| |tptp.'a$'| (|tptp.'fun_app$m'| (|tptp.'fun_app$n'| |tptp.'plus$a'| |tptp.'b1$'|) |tptp.'b2$'|))) (|tptp.'fun_app$o'| |tptp.'ket$'| (|tptp.'fun_app$p'| (|tptp.'fun_app$q'| |tptp.'pair$'| |tptp.'i$'|) |tptp.'j$'|))) (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| (|tptp.'fun_app$r'| (|tptp.'fun_app$s'| |tptp.'plus$b'| (|tptp.'tensor_op$'| |tptp.'a$'| |tptp.'b1$'|)) (|tptp.'tensor_op$'| |tptp.'a$'| |tptp.'b2$'|))) (|tptp.'fun_app$o'| |tptp.'ket$'| (|tptp.'fun_app$p'| (|tptp.'fun_app$q'| |tptp.'pair$'| |tptp.'i$'|) |tptp.'j$'|)))))) (= (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| (|tptp.'tensor_op$'| |tptp.'a$'| (|tptp.'fun_app$m'| (|tptp.'fun_app$n'| |tptp.'plus$a'| |tptp.'b1$'|) |tptp.'b2$'|))) (|tptp.'fun_app$o'| |tptp.'ket$'| (|tptp.'fun_app$p'| (|tptp.'fun_app$q'| |tptp.'pair$'| |tptp.'i$'|) |tptp.'j$'|))) (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| (|tptp.'fun_app$r'| (|tptp.'fun_app$s'| |tptp.'plus$b'| (|tptp.'tensor_op$'| |tptp.'a$'| |tptp.'b1$'|)) (|tptp.'tensor_op$'| |tptp.'a$'| |tptp.'b2$'|))) (|tptp.'fun_app$o'| |tptp.'ket$'| (|tptp.'fun_app$p'| (|tptp.'fun_app$q'| |tptp.'pair$'| |tptp.'i$'|) |tptp.'j$'|)))))) :rule all_simplify)
% 1.07/1.27 (step t7 (cl (= (= (= (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| (|tptp.'tensor_op$'| |tptp.'a$'| (|tptp.'fun_app$m'| (|tptp.'fun_app$n'| |tptp.'plus$a'| |tptp.'b1$'|) |tptp.'b2$'|))) (|tptp.'fun_app$o'| |tptp.'ket$'| (|tptp.'fun_app$p'| (|tptp.'fun_app$q'| |tptp.'pair$'| |tptp.'i$'|) |tptp.'j$'|))) (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| (|tptp.'fun_app$r'| (|tptp.'fun_app$s'| |tptp.'plus$b'| (|tptp.'tensor_op$'| |tptp.'a$'| |tptp.'b1$'|)) (|tptp.'tensor_op$'| |tptp.'a$'| |tptp.'b2$'|))) (|tptp.'fun_app$o'| |tptp.'ket$'| (|tptp.'fun_app$p'| (|tptp.'fun_app$q'| |tptp.'pair$'| |tptp.'i$'|) |tptp.'j$'|)))) (not (not (= (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| (|tptp.'tensor_op$'| |tptp.'a$'| (|tptp.'fun_app$m'| (|tptp.'fun_app$n'| |tptp.'plus$a'| |tptp.'b1$'|) |tptp.'b2$'|))) (|tptp.'fun_app$o'| |tptp.'ket$'| (|tptp.'fun_app$p'| (|tptp.'fun_app$q'| |tptp.'pair$'| |tptp.'i$'|) |tptp.'j$'|))) (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| (|tptp.'fun_app$r'| (|tptp.'fun_app$s'| |tptp.'plus$b'| (|tptp.'tensor_op$'| |tptp.'a$'| |tptp.'b1$'|)) (|tptp.'tensor_op$'| |tptp.'a$'| |tptp.'b2$'|))) (|tptp.'fun_app$o'| |tptp.'ket$'| (|tptp.'fun_app$p'| (|tptp.'fun_app$q'| |tptp.'pair$'| |tptp.'i$'|) |tptp.'j$'|))))))) (= (= (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| (|tptp.'tensor_op$'| |tptp.'a$'| (|tptp.'fun_app$m'| (|tptp.'fun_app$n'| |tptp.'plus$a'| |tptp.'b1$'|) |tptp.'b2$'|))) (|tptp.'fun_app$o'| |tptp.'ket$'| (|tptp.'fun_app$p'| (|tptp.'fun_app$q'| |tptp.'pair$'| |tptp.'i$'|) |tptp.'j$'|))) (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| (|tptp.'fun_app$r'| (|tptp.'fun_app$s'| |tptp.'plus$b'| (|tptp.'tensor_op$'| |tptp.'a$'| |tptp.'b1$'|)) (|tptp.'tensor_op$'| |tptp.'a$'| |tptp.'b2$'|))) (|tptp.'fun_app$o'| |tptp.'ket$'| (|tptp.'fun_app$p'| (|tptp.'fun_app$q'| |tptp.'pair$'| |tptp.'i$'|) |tptp.'j$'|)))) (= (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| (|tptp.'tensor_op$'| |tptp.'a$'| (|tptp.'fun_app$m'| (|tptp.'fun_app$n'| |tptp.'plus$a'| |tptp.'b1$'|) |tptp.'b2$'|))) (|tptp.'fun_app$o'| |tptp.'ket$'| (|tptp.'fun_app$p'| (|tptp.'fun_app$q'| |tptp.'pair$'| |tptp.'i$'|) |tptp.'j$'|))) (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| (|tptp.'fun_app$r'| (|tptp.'fun_app$s'| |tptp.'plus$b'| (|tptp.'tensor_op$'| |tptp.'a$'| |tptp.'b1$'|)) (|tptp.'tensor_op$'| |tptp.'a$'| |tptp.'b2$'|))) (|tptp.'fun_app$o'| |tptp.'ket$'| (|tptp.'fun_app$p'| (|tptp.'fun_app$q'| |tptp.'pair$'| |tptp.'i$'|) |tptp.'j$'|))))))) :rule cong :premises (t5 t6))
% 1.07/1.27 (step t8 (cl (= (= (= (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| (|tptp.'tensor_op$'| |tptp.'a$'| (|tptp.'fun_app$m'| (|tptp.'fun_app$n'| |tptp.'plus$a'| |tptp.'b1$'|) |tptp.'b2$'|))) (|tptp.'fun_app$o'| |tptp.'ket$'| (|tptp.'fun_app$p'| (|tptp.'fun_app$q'| |tptp.'pair$'| |tptp.'i$'|) |tptp.'j$'|))) (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| (|tptp.'fun_app$r'| (|tptp.'fun_app$s'| |tptp.'plus$b'| (|tptp.'tensor_op$'| |tptp.'a$'| |tptp.'b1$'|)) (|tptp.'tensor_op$'| |tptp.'a$'| |tptp.'b2$'|))) (|tptp.'fun_app$o'| |tptp.'ket$'| (|tptp.'fun_app$p'| (|tptp.'fun_app$q'| |tptp.'pair$'| |tptp.'i$'|) |tptp.'j$'|)))) (= (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| (|tptp.'tensor_op$'| |tptp.'a$'| (|tptp.'fun_app$m'| (|tptp.'fun_app$n'| |tptp.'plus$a'| |tptp.'b1$'|) |tptp.'b2$'|))) (|tptp.'fun_app$o'| |tptp.'ket$'| (|tptp.'fun_app$p'| (|tptp.'fun_app$q'| |tptp.'pair$'| |tptp.'i$'|) |tptp.'j$'|))) (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| (|tptp.'fun_app$r'| (|tptp.'fun_app$s'| |tptp.'plus$b'| (|tptp.'tensor_op$'| |tptp.'a$'| |tptp.'b1$'|)) (|tptp.'tensor_op$'| |tptp.'a$'| |tptp.'b2$'|))) (|tptp.'fun_app$o'| |tptp.'ket$'| (|tptp.'fun_app$p'| (|tptp.'fun_app$q'| |tptp.'pair$'| |tptp.'i$'|) |tptp.'j$'|))))) true)) :rule all_simplify)
% 1.07/1.27 (step t9 (cl (= (= (= (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| (|tptp.'tensor_op$'| |tptp.'a$'| (|tptp.'fun_app$m'| (|tptp.'fun_app$n'| |tptp.'plus$a'| |tptp.'b1$'|) |tptp.'b2$'|))) (|tptp.'fun_app$o'| |tptp.'ket$'| (|tptp.'fun_app$p'| (|tptp.'fun_app$q'| |tptp.'pair$'| |tptp.'i$'|) |tptp.'j$'|))) (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| (|tptp.'fun_app$r'| (|tptp.'fun_app$s'| |tptp.'plus$b'| (|tptp.'tensor_op$'| |tptp.'a$'| |tptp.'b1$'|)) (|tptp.'tensor_op$'| |tptp.'a$'| |tptp.'b2$'|))) (|tptp.'fun_app$o'| |tptp.'ket$'| (|tptp.'fun_app$p'| (|tptp.'fun_app$q'| |tptp.'pair$'| |tptp.'i$'|) |tptp.'j$'|)))) (not (not (= (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| (|tptp.'tensor_op$'| |tptp.'a$'| (|tptp.'fun_app$m'| (|tptp.'fun_app$n'| |tptp.'plus$a'| |tptp.'b1$'|) |tptp.'b2$'|))) (|tptp.'fun_app$o'| |tptp.'ket$'| (|tptp.'fun_app$p'| (|tptp.'fun_app$q'| |tptp.'pair$'| |tptp.'i$'|) |tptp.'j$'|))) (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| (|tptp.'fun_app$r'| (|tptp.'fun_app$s'| |tptp.'plus$b'| (|tptp.'tensor_op$'| |tptp.'a$'| |tptp.'b1$'|)) (|tptp.'tensor_op$'| |tptp.'a$'| |tptp.'b2$'|))) (|tptp.'fun_app$o'| |tptp.'ket$'| (|tptp.'fun_app$p'| (|tptp.'fun_app$q'| |tptp.'pair$'| |tptp.'i$'|) |tptp.'j$'|))))))) true)) :rule trans :premises (t7 t8))
% 1.07/1.27 (step t10 (cl (= (= (not (not (= (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| (|tptp.'tensor_op$'| |tptp.'a$'| (|tptp.'fun_app$m'| (|tptp.'fun_app$n'| |tptp.'plus$a'| |tptp.'b1$'|) |tptp.'b2$'|))) (|tptp.'fun_app$o'| |tptp.'ket$'| (|tptp.'fun_app$p'| (|tptp.'fun_app$q'| |tptp.'pair$'| |tptp.'i$'|) |tptp.'j$'|))) (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| (|tptp.'fun_app$r'| (|tptp.'fun_app$s'| |tptp.'plus$b'| (|tptp.'tensor_op$'| |tptp.'a$'| |tptp.'b1$'|)) (|tptp.'tensor_op$'| |tptp.'a$'| |tptp.'b2$'|))) (|tptp.'fun_app$o'| |tptp.'ket$'| (|tptp.'fun_app$p'| (|tptp.'fun_app$q'| |tptp.'pair$'| |tptp.'i$'|) |tptp.'j$'|)))))) (= (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| (|tptp.'tensor_op$'| |tptp.'a$'| (|tptp.'fun_app$m'| (|tptp.'fun_app$n'| |tptp.'plus$a'| |tptp.'b1$'|) |tptp.'b2$'|))) (|tptp.'fun_app$o'| |tptp.'ket$'| (|tptp.'fun_app$p'| (|tptp.'fun_app$q'| |tptp.'pair$'| |tptp.'i$'|) |tptp.'j$'|))) (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| (|tptp.'fun_app$r'| (|tptp.'fun_app$s'| |tptp.'plus$b'| (|tptp.'tensor_op$'| |tptp.'a$'| |tptp.'b1$'|)) (|tptp.'tensor_op$'| |tptp.'a$'| |tptp.'b2$'|))) (|tptp.'fun_app$o'| |tptp.'ket$'| (|tptp.'fun_app$p'| (|tptp.'fun_app$q'| |tptp.'pair$'| |tptp.'i$'|) |tptp.'j$'|))))) true)) :rule trans :premises (t4 t9))
% 1.07/1.27 (step t11 (cl (= (not (not (= (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| (|tptp.'tensor_op$'| |tptp.'a$'| (|tptp.'fun_app$m'| (|tptp.'fun_app$n'| |tptp.'plus$a'| |tptp.'b1$'|) |tptp.'b2$'|))) (|tptp.'fun_app$o'| |tptp.'ket$'| (|tptp.'fun_app$p'| (|tptp.'fun_app$q'| |tptp.'pair$'| |tptp.'i$'|) |tptp.'j$'|))) (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| (|tptp.'fun_app$r'| (|tptp.'fun_app$s'| |tptp.'plus$b'| (|tptp.'tensor_op$'| |tptp.'a$'| |tptp.'b1$'|)) (|tptp.'tensor_op$'| |tptp.'a$'| |tptp.'b2$'|))) (|tptp.'fun_app$o'| |tptp.'ket$'| (|tptp.'fun_app$p'| (|tptp.'fun_app$q'| |tptp.'pair$'| |tptp.'i$'|) |tptp.'j$'|)))))) (= (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| (|tptp.'tensor_op$'| |tptp.'a$'| (|tptp.'fun_app$m'| (|tptp.'fun_app$n'| |tptp.'plus$a'| |tptp.'b1$'|) |tptp.'b2$'|))) (|tptp.'fun_app$o'| |tptp.'ket$'| (|tptp.'fun_app$p'| (|tptp.'fun_app$q'| |tptp.'pair$'| |tptp.'i$'|) |tptp.'j$'|))) (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| (|tptp.'fun_app$r'| (|tptp.'fun_app$s'| |tptp.'plus$b'| (|tptp.'tensor_op$'| |tptp.'a$'| |tptp.'b1$'|)) (|tptp.'tensor_op$'| |tptp.'a$'| |tptp.'b2$'|))) (|tptp.'fun_app$o'| |tptp.'ket$'| (|tptp.'fun_app$p'| (|tptp.'fun_app$q'| |tptp.'pair$'| |tptp.'i$'|) |tptp.'j$'|)))))) :rule resolution :premises (t3 t10))
% 1.07/1.27 (step t12 (cl (= (not (= (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| (|tptp.'tensor_op$'| |tptp.'a$'| (|tptp.'fun_app$m'| (|tptp.'fun_app$n'| |tptp.'plus$a'| |tptp.'b1$'|) |tptp.'b2$'|))) (|tptp.'fun_app$o'| |tptp.'ket$'| (|tptp.'fun_app$p'| (|tptp.'fun_app$q'| |tptp.'pair$'| |tptp.'i$'|) |tptp.'j$'|))) (|tptp.'tensor_ell2$'| (|tptp.'fun_app$t'| (|tptp.'cblinfun_apply$a'| |tptp.'a$'|) (|tptp.'ket$a'| |tptp.'i$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| (|tptp.'fun_app$m'| (|tptp.'fun_app$n'| |tptp.'plus$a'| |tptp.'b1$'|) |tptp.'b2$'|)) (|tptp.'ket$b'| |tptp.'j$'|))))) (not (= (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| (|tptp.'tensor_op$'| |tptp.'a$'| (|tptp.'fun_app$m'| (|tptp.'fun_app$n'| |tptp.'plus$a'| |tptp.'b1$'|) |tptp.'b2$'|))) (|tptp.'fun_app$o'| |tptp.'ket$'| (|tptp.'fun_app$p'| (|tptp.'fun_app$q'| |tptp.'pair$'| |tptp.'i$'|) |tptp.'j$'|))) (|tptp.'tensor_ell2$'| (|tptp.'fun_app$t'| (|tptp.'cblinfun_apply$a'| |tptp.'a$'|) (|tptp.'ket$a'| |tptp.'i$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| (|tptp.'fun_app$m'| (|tptp.'fun_app$n'| |tptp.'plus$a'| |tptp.'b1$'|) |tptp.'b2$'|)) (|tptp.'ket$b'| |tptp.'j$'|))))))) :rule refl)
% 1.07/1.27 (step t13 (cl (= (not (= (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| (|tptp.'fun_app$r'| (|tptp.'fun_app$s'| |tptp.'plus$b'| (|tptp.'tensor_op$'| |tptp.'a$'| |tptp.'b1$'|)) (|tptp.'tensor_op$'| |tptp.'a$'| |tptp.'b2$'|))) (|tptp.'fun_app$o'| |tptp.'ket$'| (|tptp.'fun_app$p'| (|tptp.'fun_app$q'| |tptp.'pair$'| |tptp.'i$'|) |tptp.'j$'|))) (|tptp.'plus$u'| (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| (|tptp.'tensor_op$'| |tptp.'a$'| |tptp.'b1$'|)) (|tptp.'fun_app$o'| |tptp.'ket$'| (|tptp.'fun_app$p'| (|tptp.'fun_app$q'| |tptp.'pair$'| |tptp.'i$'|) |tptp.'j$'|))) (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| (|tptp.'tensor_op$'| |tptp.'a$'| |tptp.'b2$'|)) (|tptp.'fun_app$o'| |tptp.'ket$'| (|tptp.'fun_app$p'| (|tptp.'fun_app$q'| |tptp.'pair$'| |tptp.'i$'|) |tptp.'j$'|)))))) (not (= (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| (|tptp.'fun_app$r'| (|tptp.'fun_app$s'| |tptp.'plus$b'| (|tptp.'tensor_op$'| |tptp.'a$'| |tptp.'b1$'|)) (|tptp.'tensor_op$'| |tptp.'a$'| |tptp.'b2$'|))) (|tptp.'fun_app$o'| |tptp.'ket$'| (|tptp.'fun_app$p'| (|tptp.'fun_app$q'| |tptp.'pair$'| |tptp.'i$'|) |tptp.'j$'|))) (|tptp.'plus$u'| (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| (|tptp.'tensor_op$'| |tptp.'a$'| |tptp.'b1$'|)) (|tptp.'fun_app$o'| |tptp.'ket$'| (|tptp.'fun_app$p'| (|tptp.'fun_app$q'| |tptp.'pair$'| |tptp.'i$'|) |tptp.'j$'|))) (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| (|tptp.'tensor_op$'| |tptp.'a$'| |tptp.'b2$'|)) (|tptp.'fun_app$o'| |tptp.'ket$'| (|tptp.'fun_app$p'| (|tptp.'fun_app$q'| |tptp.'pair$'| |tptp.'i$'|) |tptp.'j$'|)))))))) :rule refl)
% 1.07/1.27 (step t14 (cl (= (not (= (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| (|tptp.'tensor_op$'| |tptp.'a$'| |tptp.'b2$'|)) (|tptp.'fun_app$o'| |tptp.'ket$'| (|tptp.'fun_app$p'| (|tptp.'fun_app$q'| |tptp.'pair$'| |tptp.'i$'|) |tptp.'j$'|))) (|tptp.'tensor_ell2$'| (|tptp.'fun_app$t'| (|tptp.'cblinfun_apply$a'| |tptp.'a$'|) (|tptp.'ket$a'| |tptp.'i$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b2$'|) (|tptp.'ket$b'| |tptp.'j$'|))))) (not (= (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| (|tptp.'tensor_op$'| |tptp.'a$'| |tptp.'b2$'|)) (|tptp.'fun_app$o'| |tptp.'ket$'| (|tptp.'fun_app$p'| (|tptp.'fun_app$q'| |tptp.'pair$'| |tptp.'i$'|) |tptp.'j$'|))) (|tptp.'tensor_ell2$'| (|tptp.'fun_app$t'| (|tptp.'cblinfun_apply$a'| |tptp.'a$'|) (|tptp.'ket$a'| |tptp.'i$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b2$'|) (|tptp.'ket$b'| |tptp.'j$'|))))))) :rule refl)
% 1.07/1.27 (step t15 (cl (= (not (= (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| (|tptp.'tensor_op$'| |tptp.'a$'| |tptp.'b1$'|)) (|tptp.'fun_app$o'| |tptp.'ket$'| (|tptp.'fun_app$p'| (|tptp.'fun_app$q'| |tptp.'pair$'| |tptp.'i$'|) |tptp.'j$'|))) (|tptp.'tensor_ell2$'| (|tptp.'fun_app$t'| (|tptp.'cblinfun_apply$a'| |tptp.'a$'|) (|tptp.'ket$a'| |tptp.'i$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b1$'|) (|tptp.'ket$b'| |tptp.'j$'|))))) (not (= (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| (|tptp.'tensor_op$'| |tptp.'a$'| |tptp.'b1$'|)) (|tptp.'fun_app$o'| |tptp.'ket$'| (|tptp.'fun_app$p'| (|tptp.'fun_app$q'| |tptp.'pair$'| |tptp.'i$'|) |tptp.'j$'|))) (|tptp.'tensor_ell2$'| (|tptp.'fun_app$t'| (|tptp.'cblinfun_apply$a'| |tptp.'a$'|) (|tptp.'ket$a'| |tptp.'i$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b1$'|) (|tptp.'ket$b'| |tptp.'j$'|))))))) :rule refl)
% 1.07/1.27 (step t16 (cl (= (not (= (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| (|tptp.'fun_app$m'| (|tptp.'fun_app$n'| |tptp.'plus$a'| |tptp.'b1$'|) |tptp.'b2$'|)) (|tptp.'ket$b'| |tptp.'j$'|)) (|tptp.'plus$i'| (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b1$'|) (|tptp.'ket$b'| |tptp.'j$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b2$'|) (|tptp.'ket$b'| |tptp.'j$'|))))) (not (= (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| (|tptp.'fun_app$m'| (|tptp.'fun_app$n'| |tptp.'plus$a'| |tptp.'b1$'|) |tptp.'b2$'|)) (|tptp.'ket$b'| |tptp.'j$'|)) (|tptp.'plus$i'| (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b1$'|) (|tptp.'ket$b'| |tptp.'j$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b2$'|) (|tptp.'ket$b'| |tptp.'j$'|))))))) :rule refl)
% 1.07/1.27 (step t17 (cl (= (not (= (|tptp.'tensor_ell2$'| (|tptp.'fun_app$t'| (|tptp.'cblinfun_apply$a'| |tptp.'a$'|) (|tptp.'ket$a'| |tptp.'i$'|)) (|tptp.'plus$i'| (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b1$'|) (|tptp.'ket$b'| |tptp.'j$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b2$'|) (|tptp.'ket$b'| |tptp.'j$'|)))) (|tptp.'plus$u'| (|tptp.'tensor_ell2$'| (|tptp.'fun_app$t'| (|tptp.'cblinfun_apply$a'| |tptp.'a$'|) (|tptp.'ket$a'| |tptp.'i$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b1$'|) (|tptp.'ket$b'| |tptp.'j$'|))) (|tptp.'tensor_ell2$'| (|tptp.'fun_app$t'| (|tptp.'cblinfun_apply$a'| |tptp.'a$'|) (|tptp.'ket$a'| |tptp.'i$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b2$'|) (|tptp.'ket$b'| |tptp.'j$'|)))))) (not (= (|tptp.'tensor_ell2$'| (|tptp.'fun_app$t'| (|tptp.'cblinfun_apply$a'| |tptp.'a$'|) (|tptp.'ket$a'| |tptp.'i$'|)) (|tptp.'plus$i'| (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b1$'|) (|tptp.'ket$b'| |tptp.'j$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b2$'|) (|tptp.'ket$b'| |tptp.'j$'|)))) (|tptp.'plus$u'| (|tptp.'tensor_ell2$'| (|tptp.'fun_app$t'| (|tptp.'cblinfun_apply$a'| |tptp.'a$'|) (|tptp.'ket$a'| |tptp.'i$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b1$'|) (|tptp.'ket$b'| |tptp.'j$'|))) (|tptp.'tensor_ell2$'| (|tptp.'fun_app$t'| (|tptp.'cblinfun_apply$a'| |tptp.'a$'|) (|tptp.'ket$a'| |tptp.'i$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b2$'|) (|tptp.'ket$b'| |tptp.'j$'|)))))))) :rule refl)
% 1.07/1.27 (step t18 (cl (= (or (not (not (= (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| (|tptp.'tensor_op$'| |tptp.'a$'| (|tptp.'fun_app$m'| (|tptp.'fun_app$n'| |tptp.'plus$a'| |tptp.'b1$'|) |tptp.'b2$'|))) (|tptp.'fun_app$o'| |tptp.'ket$'| (|tptp.'fun_app$p'| (|tptp.'fun_app$q'| |tptp.'pair$'| |tptp.'i$'|) |tptp.'j$'|))) (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| (|tptp.'fun_app$r'| (|tptp.'fun_app$s'| |tptp.'plus$b'| (|tptp.'tensor_op$'| |tptp.'a$'| |tptp.'b1$'|)) (|tptp.'tensor_op$'| |tptp.'a$'| |tptp.'b2$'|))) (|tptp.'fun_app$o'| |tptp.'ket$'| (|tptp.'fun_app$p'| (|tptp.'fun_app$q'| |tptp.'pair$'| |tptp.'i$'|) |tptp.'j$'|)))))) (not (= (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| (|tptp.'tensor_op$'| |tptp.'a$'| (|tptp.'fun_app$m'| (|tptp.'fun_app$n'| |tptp.'plus$a'| |tptp.'b1$'|) |tptp.'b2$'|))) (|tptp.'fun_app$o'| |tptp.'ket$'| (|tptp.'fun_app$p'| (|tptp.'fun_app$q'| |tptp.'pair$'| |tptp.'i$'|) |tptp.'j$'|))) (|tptp.'tensor_ell2$'| (|tptp.'fun_app$t'| (|tptp.'cblinfun_apply$a'| |tptp.'a$'|) (|tptp.'ket$a'| |tptp.'i$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| (|tptp.'fun_app$m'| (|tptp.'fun_app$n'| |tptp.'plus$a'| |tptp.'b1$'|) |tptp.'b2$'|)) (|tptp.'ket$b'| |tptp.'j$'|))))) (not (= (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| (|tptp.'fun_app$r'| (|tptp.'fun_app$s'| |tptp.'plus$b'| (|tptp.'tensor_op$'| |tptp.'a$'| |tptp.'b1$'|)) (|tptp.'tensor_op$'| |tptp.'a$'| |tptp.'b2$'|))) (|tptp.'fun_app$o'| |tptp.'ket$'| (|tptp.'fun_app$p'| (|tptp.'fun_app$q'| |tptp.'pair$'| |tptp.'i$'|) |tptp.'j$'|))) (|tptp.'plus$u'| (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| (|tptp.'tensor_op$'| |tptp.'a$'| |tptp.'b1$'|)) (|tptp.'fun_app$o'| |tptp.'ket$'| (|tptp.'fun_app$p'| (|tptp.'fun_app$q'| |tptp.'pair$'| |tptp.'i$'|) |tptp.'j$'|))) (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| (|tptp.'tensor_op$'| |tptp.'a$'| |tptp.'b2$'|)) (|tptp.'fun_app$o'| |tptp.'ket$'| (|tptp.'fun_app$p'| (|tptp.'fun_app$q'| |tptp.'pair$'| |tptp.'i$'|) |tptp.'j$'|)))))) (not (= (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| (|tptp.'tensor_op$'| |tptp.'a$'| |tptp.'b2$'|)) (|tptp.'fun_app$o'| |tptp.'ket$'| (|tptp.'fun_app$p'| (|tptp.'fun_app$q'| |tptp.'pair$'| |tptp.'i$'|) |tptp.'j$'|))) (|tptp.'tensor_ell2$'| (|tptp.'fun_app$t'| (|tptp.'cblinfun_apply$a'| |tptp.'a$'|) (|tptp.'ket$a'| |tptp.'i$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b2$'|) (|tptp.'ket$b'| |tptp.'j$'|))))) (not (= (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| (|tptp.'tensor_op$'| |tptp.'a$'| |tptp.'b1$'|)) (|tptp.'fun_app$o'| |tptp.'ket$'| (|tptp.'fun_app$p'| (|tptp.'fun_app$q'| |tptp.'pair$'| |tptp.'i$'|) |tptp.'j$'|))) (|tptp.'tensor_ell2$'| (|tptp.'fun_app$t'| (|tptp.'cblinfun_apply$a'| |tptp.'a$'|) (|tptp.'ket$a'| |tptp.'i$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b1$'|) (|tptp.'ket$b'| |tptp.'j$'|))))) (not (= (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| (|tptp.'fun_app$m'| (|tptp.'fun_app$n'| |tptp.'plus$a'| |tptp.'b1$'|) |tptp.'b2$'|)) (|tptp.'ket$b'| |tptp.'j$'|)) (|tptp.'plus$i'| (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b1$'|) (|tptp.'ket$b'| |tptp.'j$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b2$'|) (|tptp.'ket$b'| |tptp.'j$'|))))) (not (= (|tptp.'tensor_ell2$'| (|tptp.'fun_app$t'| (|tptp.'cblinfun_apply$a'| |tptp.'a$'|) (|tptp.'ket$a'| |tptp.'i$'|)) (|tptp.'plus$i'| (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b1$'|) (|tptp.'ket$b'| |tptp.'j$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b2$'|) (|tptp.'ket$b'| |tptp.'j$'|)))) (|tptp.'plus$u'| (|tptp.'tensor_ell2$'| (|tptp.'fun_app$t'| (|tptp.'cblinfun_apply$a'| |tptp.'a$'|) (|tptp.'ket$a'| |tptp.'i$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b1$'|) (|tptp.'ket$b'| |tptp.'j$'|))) (|tptp.'tensor_ell2$'| (|tptp.'fun_app$t'| (|tptp.'cblinfun_apply$a'| |tptp.'a$'|) (|tptp.'ket$a'| |tptp.'i$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b2$'|) (|tptp.'ket$b'| |tptp.'j$'|))))))) (or (= (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| (|tptp.'tensor_op$'| |tptp.'a$'| (|tptp.'fun_app$m'| (|tptp.'fun_app$n'| |tptp.'plus$a'| |tptp.'b1$'|) |tptp.'b2$'|))) (|tptp.'fun_app$o'| |tptp.'ket$'| (|tptp.'fun_app$p'| (|tptp.'fun_app$q'| |tptp.'pair$'| |tptp.'i$'|) |tptp.'j$'|))) (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| (|tptp.'fun_app$r'| (|tptp.'fun_app$s'| |tptp.'plus$b'| (|tptp.'tensor_op$'| |tptp.'a$'| |tptp.'b1$'|)) (|tptp.'tensor_op$'| |tptp.'a$'| |tptp.'b2$'|))) (|tptp.'fun_app$o'| |tptp.'ket$'| (|tptp.'fun_app$p'| (|tptp.'fun_app$q'| |tptp.'pair$'| |tptp.'i$'|) |tptp.'j$'|)))) (not (= (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| (|tptp.'tensor_op$'| |tptp.'a$'| (|tptp.'fun_app$m'| (|tptp.'fun_app$n'| |tptp.'plus$a'| |tptp.'b1$'|) |tptp.'b2$'|))) (|tptp.'fun_app$o'| |tptp.'ket$'| (|tptp.'fun_app$p'| (|tptp.'fun_app$q'| |tptp.'pair$'| |tptp.'i$'|) |tptp.'j$'|))) (|tptp.'tensor_ell2$'| (|tptp.'fun_app$t'| (|tptp.'cblinfun_apply$a'| |tptp.'a$'|) (|tptp.'ket$a'| |tptp.'i$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| (|tptp.'fun_app$m'| (|tptp.'fun_app$n'| |tptp.'plus$a'| |tptp.'b1$'|) |tptp.'b2$'|)) (|tptp.'ket$b'| |tptp.'j$'|))))) (not (= (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| (|tptp.'fun_app$r'| (|tptp.'fun_app$s'| |tptp.'plus$b'| (|tptp.'tensor_op$'| |tptp.'a$'| |tptp.'b1$'|)) (|tptp.'tensor_op$'| |tptp.'a$'| |tptp.'b2$'|))) (|tptp.'fun_app$o'| |tptp.'ket$'| (|tptp.'fun_app$p'| (|tptp.'fun_app$q'| |tptp.'pair$'| |tptp.'i$'|) |tptp.'j$'|))) (|tptp.'plus$u'| (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| (|tptp.'tensor_op$'| |tptp.'a$'| |tptp.'b1$'|)) (|tptp.'fun_app$o'| |tptp.'ket$'| (|tptp.'fun_app$p'| (|tptp.'fun_app$q'| |tptp.'pair$'| |tptp.'i$'|) |tptp.'j$'|))) (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| (|tptp.'tensor_op$'| |tptp.'a$'| |tptp.'b2$'|)) (|tptp.'fun_app$o'| |tptp.'ket$'| (|tptp.'fun_app$p'| (|tptp.'fun_app$q'| |tptp.'pair$'| |tptp.'i$'|) |tptp.'j$'|)))))) (not (= (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| (|tptp.'tensor_op$'| |tptp.'a$'| |tptp.'b2$'|)) (|tptp.'fun_app$o'| |tptp.'ket$'| (|tptp.'fun_app$p'| (|tptp.'fun_app$q'| |tptp.'pair$'| |tptp.'i$'|) |tptp.'j$'|))) (|tptp.'tensor_ell2$'| (|tptp.'fun_app$t'| (|tptp.'cblinfun_apply$a'| |tptp.'a$'|) (|tptp.'ket$a'| |tptp.'i$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b2$'|) (|tptp.'ket$b'| |tptp.'j$'|))))) (not (= (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| (|tptp.'tensor_op$'| |tptp.'a$'| |tptp.'b1$'|)) (|tptp.'fun_app$o'| |tptp.'ket$'| (|tptp.'fun_app$p'| (|tptp.'fun_app$q'| |tptp.'pair$'| |tptp.'i$'|) |tptp.'j$'|))) (|tptp.'tensor_ell2$'| (|tptp.'fun_app$t'| (|tptp.'cblinfun_apply$a'| |tptp.'a$'|) (|tptp.'ket$a'| |tptp.'i$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b1$'|) (|tptp.'ket$b'| |tptp.'j$'|))))) (not (= (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| (|tptp.'fun_app$m'| (|tptp.'fun_app$n'| |tptp.'plus$a'| |tptp.'b1$'|) |tptp.'b2$'|)) (|tptp.'ket$b'| |tptp.'j$'|)) (|tptp.'plus$i'| (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b1$'|) (|tptp.'ket$b'| |tptp.'j$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b2$'|) (|tptp.'ket$b'| |tptp.'j$'|))))) (not (= (|tptp.'tensor_ell2$'| (|tptp.'fun_app$t'| (|tptp.'cblinfun_apply$a'| |tptp.'a$'|) (|tptp.'ket$a'| |tptp.'i$'|)) (|tptp.'plus$i'| (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b1$'|) (|tptp.'ket$b'| |tptp.'j$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b2$'|) (|tptp.'ket$b'| |tptp.'j$'|)))) (|tptp.'plus$u'| (|tptp.'tensor_ell2$'| (|tptp.'fun_app$t'| (|tptp.'cblinfun_apply$a'| |tptp.'a$'|) (|tptp.'ket$a'| |tptp.'i$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b1$'|) (|tptp.'ket$b'| |tptp.'j$'|))) (|tptp.'tensor_ell2$'| (|tptp.'fun_app$t'| (|tptp.'cblinfun_apply$a'| |tptp.'a$'|) (|tptp.'ket$a'| |tptp.'i$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b2$'|) (|tptp.'ket$b'| |tptp.'j$'|))))))))) :rule cong :premises (t11 t12 t13 t14 t15 t16 t17))
% 1.07/1.27 (step t19 (cl (not (= (=> (and (not (= (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| (|tptp.'tensor_op$'| |tptp.'a$'| (|tptp.'fun_app$m'| (|tptp.'fun_app$n'| |tptp.'plus$a'| |tptp.'b1$'|) |tptp.'b2$'|))) (|tptp.'fun_app$o'| |tptp.'ket$'| (|tptp.'fun_app$p'| (|tptp.'fun_app$q'| |tptp.'pair$'| |tptp.'i$'|) |tptp.'j$'|))) (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| (|tptp.'fun_app$r'| (|tptp.'fun_app$s'| |tptp.'plus$b'| (|tptp.'tensor_op$'| |tptp.'a$'| |tptp.'b1$'|)) (|tptp.'tensor_op$'| |tptp.'a$'| |tptp.'b2$'|))) (|tptp.'fun_app$o'| |tptp.'ket$'| (|tptp.'fun_app$p'| (|tptp.'fun_app$q'| |tptp.'pair$'| |tptp.'i$'|) |tptp.'j$'|))))) (= (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| (|tptp.'tensor_op$'| |tptp.'a$'| (|tptp.'fun_app$m'| (|tptp.'fun_app$n'| |tptp.'plus$a'| |tptp.'b1$'|) |tptp.'b2$'|))) (|tptp.'fun_app$o'| |tptp.'ket$'| (|tptp.'fun_app$p'| (|tptp.'fun_app$q'| |tptp.'pair$'| |tptp.'i$'|) |tptp.'j$'|))) (|tptp.'tensor_ell2$'| (|tptp.'fun_app$t'| (|tptp.'cblinfun_apply$a'| |tptp.'a$'|) (|tptp.'ket$a'| |tptp.'i$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| (|tptp.'fun_app$m'| (|tptp.'fun_app$n'| |tptp.'plus$a'| |tptp.'b1$'|) |tptp.'b2$'|)) (|tptp.'ket$b'| |tptp.'j$'|)))) (= (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| (|tptp.'fun_app$r'| (|tptp.'fun_app$s'| |tptp.'plus$b'| (|tptp.'tensor_op$'| |tptp.'a$'| |tptp.'b1$'|)) (|tptp.'tensor_op$'| |tptp.'a$'| |tptp.'b2$'|))) (|tptp.'fun_app$o'| |tptp.'ket$'| (|tptp.'fun_app$p'| (|tptp.'fun_app$q'| |tptp.'pair$'| |tptp.'i$'|) |tptp.'j$'|))) (|tptp.'plus$u'| (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| (|tptp.'tensor_op$'| |tptp.'a$'| |tptp.'b1$'|)) (|tptp.'fun_app$o'| |tptp.'ket$'| (|tptp.'fun_app$p'| (|tptp.'fun_app$q'| |tptp.'pair$'| |tptp.'i$'|) |tptp.'j$'|))) (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| (|tptp.'tensor_op$'| |tptp.'a$'| |tptp.'b2$'|)) (|tptp.'fun_app$o'| |tptp.'ket$'| (|tptp.'fun_app$p'| (|tptp.'fun_app$q'| |tptp.'pair$'| |tptp.'i$'|) |tptp.'j$'|))))) (= (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| (|tptp.'tensor_op$'| |tptp.'a$'| |tptp.'b2$'|)) (|tptp.'fun_app$o'| |tptp.'ket$'| (|tptp.'fun_app$p'| (|tptp.'fun_app$q'| |tptp.'pair$'| |tptp.'i$'|) |tptp.'j$'|))) (|tptp.'tensor_ell2$'| (|tptp.'fun_app$t'| (|tptp.'cblinfun_apply$a'| |tptp.'a$'|) (|tptp.'ket$a'| |tptp.'i$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b2$'|) (|tptp.'ket$b'| |tptp.'j$'|)))) (= (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| (|tptp.'tensor_op$'| |tptp.'a$'| |tptp.'b1$'|)) (|tptp.'fun_app$o'| |tptp.'ket$'| (|tptp.'fun_app$p'| (|tptp.'fun_app$q'| |tptp.'pair$'| |tptp.'i$'|) |tptp.'j$'|))) (|tptp.'tensor_ell2$'| (|tptp.'fun_app$t'| (|tptp.'cblinfun_apply$a'| |tptp.'a$'|) (|tptp.'ket$a'| |tptp.'i$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b1$'|) (|tptp.'ket$b'| |tptp.'j$'|)))) (= (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| (|tptp.'fun_app$m'| (|tptp.'fun_app$n'| |tptp.'plus$a'| |tptp.'b1$'|) |tptp.'b2$'|)) (|tptp.'ket$b'| |tptp.'j$'|)) (|tptp.'plus$i'| (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b1$'|) (|tptp.'ket$b'| |tptp.'j$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b2$'|) (|tptp.'ket$b'| |tptp.'j$'|)))) (= (|tptp.'tensor_ell2$'| (|tptp.'fun_app$t'| (|tptp.'cblinfun_apply$a'| |tptp.'a$'|) (|tptp.'ket$a'| |tptp.'i$'|)) (|tptp.'plus$i'| (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b1$'|) (|tptp.'ket$b'| |tptp.'j$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b2$'|) (|tptp.'ket$b'| |tptp.'j$'|)))) (|tptp.'plus$u'| (|tptp.'tensor_ell2$'| (|tptp.'fun_app$t'| (|tptp.'cblinfun_apply$a'| |tptp.'a$'|) (|tptp.'ket$a'| |tptp.'i$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b1$'|) (|tptp.'ket$b'| |tptp.'j$'|))) (|tptp.'tensor_ell2$'| (|tptp.'fun_app$t'| (|tptp.'cblinfun_apply$a'| |tptp.'a$'|) (|tptp.'ket$a'| |tptp.'i$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b2$'|) (|tptp.'ket$b'| |tptp.'j$'|)))))) (and (= (|tptp.'tensor_ell2$'| (|tptp.'fun_app$t'| (|tptp.'cblinfun_apply$a'| |tptp.'a$'|) (|tptp.'ket$a'| |tptp.'i$'|)) (|tptp.'plus$i'| (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b1$'|) (|tptp.'ket$b'| |tptp.'j$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b2$'|) (|tptp.'ket$b'| |tptp.'j$'|)))) (|tptp.'plus$u'| (|tptp.'tensor_ell2$'| (|tptp.'fun_app$t'| (|tptp.'cblinfun_apply$a'| |tptp.'a$'|) (|tptp.'ket$a'| |tptp.'i$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b1$'|) (|tptp.'ket$b'| |tptp.'j$'|))) (|tptp.'tensor_ell2$'| (|tptp.'fun_app$t'| (|tptp.'cblinfun_apply$a'| |tptp.'a$'|) (|tptp.'ket$a'| |tptp.'i$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b2$'|) (|tptp.'ket$b'| |tptp.'j$'|))))) (not (= (|tptp.'tensor_ell2$'| (|tptp.'fun_app$t'| (|tptp.'cblinfun_apply$a'| |tptp.'a$'|) (|tptp.'ket$a'| |tptp.'i$'|)) (|tptp.'plus$i'| (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b1$'|) (|tptp.'ket$b'| |tptp.'j$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b2$'|) (|tptp.'ket$b'| |tptp.'j$'|)))) (|tptp.'plus$u'| (|tptp.'tensor_ell2$'| (|tptp.'fun_app$t'| (|tptp.'cblinfun_apply$a'| |tptp.'a$'|) (|tptp.'ket$a'| |tptp.'i$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b1$'|) (|tptp.'ket$b'| |tptp.'j$'|))) (|tptp.'tensor_ell2$'| (|tptp.'fun_app$t'| (|tptp.'cblinfun_apply$a'| |tptp.'a$'|) (|tptp.'ket$a'| |tptp.'i$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b2$'|) (|tptp.'ket$b'| |tptp.'j$'|)))))))) (not (and (not (= (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| (|tptp.'tensor_op$'| |tptp.'a$'| (|tptp.'fun_app$m'| (|tptp.'fun_app$n'| |tptp.'plus$a'| |tptp.'b1$'|) |tptp.'b2$'|))) (|tptp.'fun_app$o'| |tptp.'ket$'| (|tptp.'fun_app$p'| (|tptp.'fun_app$q'| |tptp.'pair$'| |tptp.'i$'|) |tptp.'j$'|))) (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| (|tptp.'fun_app$r'| (|tptp.'fun_app$s'| |tptp.'plus$b'| (|tptp.'tensor_op$'| |tptp.'a$'| |tptp.'b1$'|)) (|tptp.'tensor_op$'| |tptp.'a$'| |tptp.'b2$'|))) (|tptp.'fun_app$o'| |tptp.'ket$'| (|tptp.'fun_app$p'| (|tptp.'fun_app$q'| |tptp.'pair$'| |tptp.'i$'|) |tptp.'j$'|))))) (= (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| (|tptp.'tensor_op$'| |tptp.'a$'| (|tptp.'fun_app$m'| (|tptp.'fun_app$n'| |tptp.'plus$a'| |tptp.'b1$'|) |tptp.'b2$'|))) (|tptp.'fun_app$o'| |tptp.'ket$'| (|tptp.'fun_app$p'| (|tptp.'fun_app$q'| |tptp.'pair$'| |tptp.'i$'|) |tptp.'j$'|))) (|tptp.'tensor_ell2$'| (|tptp.'fun_app$t'| (|tptp.'cblinfun_apply$a'| |tptp.'a$'|) (|tptp.'ket$a'| |tptp.'i$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| (|tptp.'fun_app$m'| (|tptp.'fun_app$n'| |tptp.'plus$a'| |tptp.'b1$'|) |tptp.'b2$'|)) (|tptp.'ket$b'| |tptp.'j$'|)))) (= (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| (|tptp.'fun_app$r'| (|tptp.'fun_app$s'| |tptp.'plus$b'| (|tptp.'tensor_op$'| |tptp.'a$'| |tptp.'b1$'|)) (|tptp.'tensor_op$'| |tptp.'a$'| |tptp.'b2$'|))) (|tptp.'fun_app$o'| |tptp.'ket$'| (|tptp.'fun_app$p'| (|tptp.'fun_app$q'| |tptp.'pair$'| |tptp.'i$'|) |tptp.'j$'|))) (|tptp.'plus$u'| (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| (|tptp.'tensor_op$'| |tptp.'a$'| |tptp.'b1$'|)) (|tptp.'fun_app$o'| |tptp.'ket$'| (|tptp.'fun_app$p'| (|tptp.'fun_app$q'| |tptp.'pair$'| |tptp.'i$'|) |tptp.'j$'|))) (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| (|tptp.'tensor_op$'| |tptp.'a$'| |tptp.'b2$'|)) (|tptp.'fun_app$o'| |tptp.'ket$'| (|tptp.'fun_app$p'| (|tptp.'fun_app$q'| |tptp.'pair$'| |tptp.'i$'|) |tptp.'j$'|))))) (= (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| (|tptp.'tensor_op$'| |tptp.'a$'| |tptp.'b2$'|)) (|tptp.'fun_app$o'| |tptp.'ket$'| (|tptp.'fun_app$p'| (|tptp.'fun_app$q'| |tptp.'pair$'| |tptp.'i$'|) |tptp.'j$'|))) (|tptp.'tensor_ell2$'| (|tptp.'fun_app$t'| (|tptp.'cblinfun_apply$a'| |tptp.'a$'|) (|tptp.'ket$a'| |tptp.'i$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b2$'|) (|tptp.'ket$b'| |tptp.'j$'|)))) (= (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| (|tptp.'tensor_op$'| |tptp.'a$'| |tptp.'b1$'|)) (|tptp.'fun_app$o'| |tptp.'ket$'| (|tptp.'fun_app$p'| (|tptp.'fun_app$q'| |tptp.'pair$'| |tptp.'i$'|) |tptp.'j$'|))) (|tptp.'tensor_ell2$'| (|tptp.'fun_app$t'| (|tptp.'cblinfun_apply$a'| |tptp.'a$'|) (|tptp.'ket$a'| |tptp.'i$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b1$'|) (|tptp.'ket$b'| |tptp.'j$'|)))) (= (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| (|tptp.'fun_app$m'| (|tptp.'fun_app$n'| |tptp.'plus$a'| |tptp.'b1$'|) |tptp.'b2$'|)) (|tptp.'ket$b'| |tptp.'j$'|)) (|tptp.'plus$i'| (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b1$'|) (|tptp.'ket$b'| |tptp.'j$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b2$'|) (|tptp.'ket$b'| |tptp.'j$'|)))) (= (|tptp.'tensor_ell2$'| (|tptp.'fun_app$t'| (|tptp.'cblinfun_apply$a'| |tptp.'a$'|) (|tptp.'ket$a'| |tptp.'i$'|)) (|tptp.'plus$i'| (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b1$'|) (|tptp.'ket$b'| |tptp.'j$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b2$'|) (|tptp.'ket$b'| |tptp.'j$'|)))) (|tptp.'plus$u'| (|tptp.'tensor_ell2$'| (|tptp.'fun_app$t'| (|tptp.'cblinfun_apply$a'| |tptp.'a$'|) (|tptp.'ket$a'| |tptp.'i$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b1$'|) (|tptp.'ket$b'| |tptp.'j$'|))) (|tptp.'tensor_ell2$'| (|tptp.'fun_app$t'| (|tptp.'cblinfun_apply$a'| |tptp.'a$'|) (|tptp.'ket$a'| |tptp.'i$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b2$'|) (|tptp.'ket$b'| |tptp.'j$'|))))))))) (not (=> (and (not (= (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| (|tptp.'tensor_op$'| |tptp.'a$'| (|tptp.'fun_app$m'| (|tptp.'fun_app$n'| |tptp.'plus$a'| |tptp.'b1$'|) |tptp.'b2$'|))) (|tptp.'fun_app$o'| |tptp.'ket$'| (|tptp.'fun_app$p'| (|tptp.'fun_app$q'| |tptp.'pair$'| |tptp.'i$'|) |tptp.'j$'|))) (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| (|tptp.'fun_app$r'| (|tptp.'fun_app$s'| |tptp.'plus$b'| (|tptp.'tensor_op$'| |tptp.'a$'| |tptp.'b1$'|)) (|tptp.'tensor_op$'| |tptp.'a$'| |tptp.'b2$'|))) (|tptp.'fun_app$o'| |tptp.'ket$'| (|tptp.'fun_app$p'| (|tptp.'fun_app$q'| |tptp.'pair$'| |tptp.'i$'|) |tptp.'j$'|))))) (= (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| (|tptp.'tensor_op$'| |tptp.'a$'| (|tptp.'fun_app$m'| (|tptp.'fun_app$n'| |tptp.'plus$a'| |tptp.'b1$'|) |tptp.'b2$'|))) (|tptp.'fun_app$o'| |tptp.'ket$'| (|tptp.'fun_app$p'| (|tptp.'fun_app$q'| |tptp.'pair$'| |tptp.'i$'|) |tptp.'j$'|))) (|tptp.'tensor_ell2$'| (|tptp.'fun_app$t'| (|tptp.'cblinfun_apply$a'| |tptp.'a$'|) (|tptp.'ket$a'| |tptp.'i$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| (|tptp.'fun_app$m'| (|tptp.'fun_app$n'| |tptp.'plus$a'| |tptp.'b1$'|) |tptp.'b2$'|)) (|tptp.'ket$b'| |tptp.'j$'|)))) (= (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| (|tptp.'fun_app$r'| (|tptp.'fun_app$s'| |tptp.'plus$b'| (|tptp.'tensor_op$'| |tptp.'a$'| |tptp.'b1$'|)) (|tptp.'tensor_op$'| |tptp.'a$'| |tptp.'b2$'|))) (|tptp.'fun_app$o'| |tptp.'ket$'| (|tptp.'fun_app$p'| (|tptp.'fun_app$q'| |tptp.'pair$'| |tptp.'i$'|) |tptp.'j$'|))) (|tptp.'plus$u'| (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| (|tptp.'tensor_op$'| |tptp.'a$'| |tptp.'b1$'|)) (|tptp.'fun_app$o'| |tptp.'ket$'| (|tptp.'fun_app$p'| (|tptp.'fun_app$q'| |tptp.'pair$'| |tptp.'i$'|) |tptp.'j$'|))) (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| (|tptp.'tensor_op$'| |tptp.'a$'| |tptp.'b2$'|)) (|tptp.'fun_app$o'| |tptp.'ket$'| (|tptp.'fun_app$p'| (|tptp.'fun_app$q'| |tptp.'pair$'| |tptp.'i$'|) |tptp.'j$'|))))) (= (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| (|tptp.'tensor_op$'| |tptp.'a$'| |tptp.'b2$'|)) (|tptp.'fun_app$o'| |tptp.'ket$'| (|tptp.'fun_app$p'| (|tptp.'fun_app$q'| |tptp.'pair$'| |tptp.'i$'|) |tptp.'j$'|))) (|tptp.'tensor_ell2$'| (|tptp.'fun_app$t'| (|tptp.'cblinfun_apply$a'| |tptp.'a$'|) (|tptp.'ket$a'| |tptp.'i$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b2$'|) (|tptp.'ket$b'| |tptp.'j$'|)))) (= (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| (|tptp.'tensor_op$'| |tptp.'a$'| |tptp.'b1$'|)) (|tptp.'fun_app$o'| |tptp.'ket$'| (|tptp.'fun_app$p'| (|tptp.'fun_app$q'| |tptp.'pair$'| |tptp.'i$'|) |tptp.'j$'|))) (|tptp.'tensor_ell2$'| (|tptp.'fun_app$t'| (|tptp.'cblinfun_apply$a'| |tptp.'a$'|) (|tptp.'ket$a'| |tptp.'i$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b1$'|) (|tptp.'ket$b'| |tptp.'j$'|)))) (= (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| (|tptp.'fun_app$m'| (|tptp.'fun_app$n'| |tptp.'plus$a'| |tptp.'b1$'|) |tptp.'b2$'|)) (|tptp.'ket$b'| |tptp.'j$'|)) (|tptp.'plus$i'| (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b1$'|) (|tptp.'ket$b'| |tptp.'j$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b2$'|) (|tptp.'ket$b'| |tptp.'j$'|)))) (= (|tptp.'tensor_ell2$'| (|tptp.'fun_app$t'| (|tptp.'cblinfun_apply$a'| |tptp.'a$'|) (|tptp.'ket$a'| |tptp.'i$'|)) (|tptp.'plus$i'| (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b1$'|) (|tptp.'ket$b'| |tptp.'j$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b2$'|) (|tptp.'ket$b'| |tptp.'j$'|)))) (|tptp.'plus$u'| (|tptp.'tensor_ell2$'| (|tptp.'fun_app$t'| (|tptp.'cblinfun_apply$a'| |tptp.'a$'|) (|tptp.'ket$a'| |tptp.'i$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b1$'|) (|tptp.'ket$b'| |tptp.'j$'|))) (|tptp.'tensor_ell2$'| (|tptp.'fun_app$t'| (|tptp.'cblinfun_apply$a'| |tptp.'a$'|) (|tptp.'ket$a'| |tptp.'i$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b2$'|) (|tptp.'ket$b'| |tptp.'j$'|)))))) (and (= (|tptp.'tensor_ell2$'| (|tptp.'fun_app$t'| (|tptp.'cblinfun_apply$a'| |tptp.'a$'|) (|tptp.'ket$a'| |tptp.'i$'|)) (|tptp.'plus$i'| (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b1$'|) (|tptp.'ket$b'| |tptp.'j$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b2$'|) (|tptp.'ket$b'| |tptp.'j$'|)))) (|tptp.'plus$u'| (|tptp.'tensor_ell2$'| (|tptp.'fun_app$t'| (|tptp.'cblinfun_apply$a'| |tptp.'a$'|) (|tptp.'ket$a'| |tptp.'i$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b1$'|) (|tptp.'ket$b'| |tptp.'j$'|))) (|tptp.'tensor_ell2$'| (|tptp.'fun_app$t'| (|tptp.'cblinfun_apply$a'| |tptp.'a$'|) (|tptp.'ket$a'| |tptp.'i$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b2$'|) (|tptp.'ket$b'| |tptp.'j$'|))))) (not (= (|tptp.'tensor_ell2$'| (|tptp.'fun_app$t'| (|tptp.'cblinfun_apply$a'| |tptp.'a$'|) (|tptp.'ket$a'| |tptp.'i$'|)) (|tptp.'plus$i'| (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b1$'|) (|tptp.'ket$b'| |tptp.'j$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b2$'|) (|tptp.'ket$b'| |tptp.'j$'|)))) (|tptp.'plus$u'| (|tptp.'tensor_ell2$'| (|tptp.'fun_app$t'| (|tptp.'cblinfun_apply$a'| |tptp.'a$'|) (|tptp.'ket$a'| |tptp.'i$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b1$'|) (|tptp.'ket$b'| |tptp.'j$'|))) (|tptp.'tensor_ell2$'| (|tptp.'fun_app$t'| (|tptp.'cblinfun_apply$a'| |tptp.'a$'|) (|tptp.'ket$a'| |tptp.'i$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b2$'|) (|tptp.'ket$b'| |tptp.'j$'|))))))))) (not (and (not (= (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| (|tptp.'tensor_op$'| |tptp.'a$'| (|tptp.'fun_app$m'| (|tptp.'fun_app$n'| |tptp.'plus$a'| |tptp.'b1$'|) |tptp.'b2$'|))) (|tptp.'fun_app$o'| |tptp.'ket$'| (|tptp.'fun_app$p'| (|tptp.'fun_app$q'| |tptp.'pair$'| |tptp.'i$'|) |tptp.'j$'|))) (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| (|tptp.'fun_app$r'| (|tptp.'fun_app$s'| |tptp.'plus$b'| (|tptp.'tensor_op$'| |tptp.'a$'| |tptp.'b1$'|)) (|tptp.'tensor_op$'| |tptp.'a$'| |tptp.'b2$'|))) (|tptp.'fun_app$o'| |tptp.'ket$'| (|tptp.'fun_app$p'| (|tptp.'fun_app$q'| |tptp.'pair$'| |tptp.'i$'|) |tptp.'j$'|))))) (= (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| (|tptp.'tensor_op$'| |tptp.'a$'| (|tptp.'fun_app$m'| (|tptp.'fun_app$n'| |tptp.'plus$a'| |tptp.'b1$'|) |tptp.'b2$'|))) (|tptp.'fun_app$o'| |tptp.'ket$'| (|tptp.'fun_app$p'| (|tptp.'fun_app$q'| |tptp.'pair$'| |tptp.'i$'|) |tptp.'j$'|))) (|tptp.'tensor_ell2$'| (|tptp.'fun_app$t'| (|tptp.'cblinfun_apply$a'| |tptp.'a$'|) (|tptp.'ket$a'| |tptp.'i$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| (|tptp.'fun_app$m'| (|tptp.'fun_app$n'| |tptp.'plus$a'| |tptp.'b1$'|) |tptp.'b2$'|)) (|tptp.'ket$b'| |tptp.'j$'|)))) (= (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| (|tptp.'fun_app$r'| (|tptp.'fun_app$s'| |tptp.'plus$b'| (|tptp.'tensor_op$'| |tptp.'a$'| |tptp.'b1$'|)) (|tptp.'tensor_op$'| |tptp.'a$'| |tptp.'b2$'|))) (|tptp.'fun_app$o'| |tptp.'ket$'| (|tptp.'fun_app$p'| (|tptp.'fun_app$q'| |tptp.'pair$'| |tptp.'i$'|) |tptp.'j$'|))) (|tptp.'plus$u'| (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| (|tptp.'tensor_op$'| |tptp.'a$'| |tptp.'b1$'|)) (|tptp.'fun_app$o'| |tptp.'ket$'| (|tptp.'fun_app$p'| (|tptp.'fun_app$q'| |tptp.'pair$'| |tptp.'i$'|) |tptp.'j$'|))) (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| (|tptp.'tensor_op$'| |tptp.'a$'| |tptp.'b2$'|)) (|tptp.'fun_app$o'| |tptp.'ket$'| (|tptp.'fun_app$p'| (|tptp.'fun_app$q'| |tptp.'pair$'| |tptp.'i$'|) |tptp.'j$'|))))) (= (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| (|tptp.'tensor_op$'| |tptp.'a$'| |tptp.'b2$'|)) (|tptp.'fun_app$o'| |tptp.'ket$'| (|tptp.'fun_app$p'| (|tptp.'fun_app$q'| |tptp.'pair$'| |tptp.'i$'|) |tptp.'j$'|))) (|tptp.'tensor_ell2$'| (|tptp.'fun_app$t'| (|tptp.'cblinfun_apply$a'| |tptp.'a$'|) (|tptp.'ket$a'| |tptp.'i$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b2$'|) (|tptp.'ket$b'| |tptp.'j$'|)))) (= (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| (|tptp.'tensor_op$'| |tptp.'a$'| |tptp.'b1$'|)) (|tptp.'fun_app$o'| |tptp.'ket$'| (|tptp.'fun_app$p'| (|tptp.'fun_app$q'| |tptp.'pair$'| |tptp.'i$'|) |tptp.'j$'|))) (|tptp.'tensor_ell2$'| (|tptp.'fun_app$t'| (|tptp.'cblinfun_apply$a'| |tptp.'a$'|) (|tptp.'ket$a'| |tptp.'i$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b1$'|) (|tptp.'ket$b'| |tptp.'j$'|)))) (= (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| (|tptp.'fun_app$m'| (|tptp.'fun_app$n'| |tptp.'plus$a'| |tptp.'b1$'|) |tptp.'b2$'|)) (|tptp.'ket$b'| |tptp.'j$'|)) (|tptp.'plus$i'| (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b1$'|) (|tptp.'ket$b'| |tptp.'j$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b2$'|) (|tptp.'ket$b'| |tptp.'j$'|)))) (= (|tptp.'tensor_ell2$'| (|tptp.'fun_app$t'| (|tptp.'cblinfun_apply$a'| |tptp.'a$'|) (|tptp.'ket$a'| |tptp.'i$'|)) (|tptp.'plus$i'| (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b1$'|) (|tptp.'ket$b'| |tptp.'j$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b2$'|) (|tptp.'ket$b'| |tptp.'j$'|)))) (|tptp.'plus$u'| (|tptp.'tensor_ell2$'| (|tptp.'fun_app$t'| (|tptp.'cblinfun_apply$a'| |tptp.'a$'|) (|tptp.'ket$a'| |tptp.'i$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b1$'|) (|tptp.'ket$b'| |tptp.'j$'|))) (|tptp.'tensor_ell2$'| (|tptp.'fun_app$t'| (|tptp.'cblinfun_apply$a'| |tptp.'a$'|) (|tptp.'ket$a'| |tptp.'i$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b2$'|) (|tptp.'ket$b'| |tptp.'j$'|)))))))) :rule equiv_pos2)
% 1.07/1.27 (step t20 (cl (= (and (not (= (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| (|tptp.'tensor_op$'| |tptp.'a$'| (|tptp.'fun_app$m'| (|tptp.'fun_app$n'| |tptp.'plus$a'| |tptp.'b1$'|) |tptp.'b2$'|))) (|tptp.'fun_app$o'| |tptp.'ket$'| (|tptp.'fun_app$p'| (|tptp.'fun_app$q'| |tptp.'pair$'| |tptp.'i$'|) |tptp.'j$'|))) (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| (|tptp.'fun_app$r'| (|tptp.'fun_app$s'| |tptp.'plus$b'| (|tptp.'tensor_op$'| |tptp.'a$'| |tptp.'b1$'|)) (|tptp.'tensor_op$'| |tptp.'a$'| |tptp.'b2$'|))) (|tptp.'fun_app$o'| |tptp.'ket$'| (|tptp.'fun_app$p'| (|tptp.'fun_app$q'| |tptp.'pair$'| |tptp.'i$'|) |tptp.'j$'|))))) (= (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| (|tptp.'tensor_op$'| |tptp.'a$'| (|tptp.'fun_app$m'| (|tptp.'fun_app$n'| |tptp.'plus$a'| |tptp.'b1$'|) |tptp.'b2$'|))) (|tptp.'fun_app$o'| |tptp.'ket$'| (|tptp.'fun_app$p'| (|tptp.'fun_app$q'| |tptp.'pair$'| |tptp.'i$'|) |tptp.'j$'|))) (|tptp.'tensor_ell2$'| (|tptp.'fun_app$t'| (|tptp.'cblinfun_apply$a'| |tptp.'a$'|) (|tptp.'ket$a'| |tptp.'i$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| (|tptp.'fun_app$m'| (|tptp.'fun_app$n'| |tptp.'plus$a'| |tptp.'b1$'|) |tptp.'b2$'|)) (|tptp.'ket$b'| |tptp.'j$'|)))) (= (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| (|tptp.'fun_app$r'| (|tptp.'fun_app$s'| |tptp.'plus$b'| (|tptp.'tensor_op$'| |tptp.'a$'| |tptp.'b1$'|)) (|tptp.'tensor_op$'| |tptp.'a$'| |tptp.'b2$'|))) (|tptp.'fun_app$o'| |tptp.'ket$'| (|tptp.'fun_app$p'| (|tptp.'fun_app$q'| |tptp.'pair$'| |tptp.'i$'|) |tptp.'j$'|))) (|tptp.'plus$u'| (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| (|tptp.'tensor_op$'| |tptp.'a$'| |tptp.'b1$'|)) (|tptp.'fun_app$o'| |tptp.'ket$'| (|tptp.'fun_app$p'| (|tptp.'fun_app$q'| |tptp.'pair$'| |tptp.'i$'|) |tptp.'j$'|))) (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| (|tptp.'tensor_op$'| |tptp.'a$'| |tptp.'b2$'|)) (|tptp.'fun_app$o'| |tptp.'ket$'| (|tptp.'fun_app$p'| (|tptp.'fun_app$q'| |tptp.'pair$'| |tptp.'i$'|) |tptp.'j$'|))))) (= (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| (|tptp.'tensor_op$'| |tptp.'a$'| |tptp.'b2$'|)) (|tptp.'fun_app$o'| |tptp.'ket$'| (|tptp.'fun_app$p'| (|tptp.'fun_app$q'| |tptp.'pair$'| |tptp.'i$'|) |tptp.'j$'|))) (|tptp.'tensor_ell2$'| (|tptp.'fun_app$t'| (|tptp.'cblinfun_apply$a'| |tptp.'a$'|) (|tptp.'ket$a'| |tptp.'i$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b2$'|) (|tptp.'ket$b'| |tptp.'j$'|)))) (= (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| (|tptp.'tensor_op$'| |tptp.'a$'| |tptp.'b1$'|)) (|tptp.'fun_app$o'| |tptp.'ket$'| (|tptp.'fun_app$p'| (|tptp.'fun_app$q'| |tptp.'pair$'| |tptp.'i$'|) |tptp.'j$'|))) (|tptp.'tensor_ell2$'| (|tptp.'fun_app$t'| (|tptp.'cblinfun_apply$a'| |tptp.'a$'|) (|tptp.'ket$a'| |tptp.'i$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b1$'|) (|tptp.'ket$b'| |tptp.'j$'|)))) (= (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| (|tptp.'fun_app$m'| (|tptp.'fun_app$n'| |tptp.'plus$a'| |tptp.'b1$'|) |tptp.'b2$'|)) (|tptp.'ket$b'| |tptp.'j$'|)) (|tptp.'plus$i'| (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b1$'|) (|tptp.'ket$b'| |tptp.'j$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b2$'|) (|tptp.'ket$b'| |tptp.'j$'|)))) (= (|tptp.'tensor_ell2$'| (|tptp.'fun_app$t'| (|tptp.'cblinfun_apply$a'| |tptp.'a$'|) (|tptp.'ket$a'| |tptp.'i$'|)) (|tptp.'plus$i'| (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b1$'|) (|tptp.'ket$b'| |tptp.'j$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b2$'|) (|tptp.'ket$b'| |tptp.'j$'|)))) (|tptp.'plus$u'| (|tptp.'tensor_ell2$'| (|tptp.'fun_app$t'| (|tptp.'cblinfun_apply$a'| |tptp.'a$'|) (|tptp.'ket$a'| |tptp.'i$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b1$'|) (|tptp.'ket$b'| |tptp.'j$'|))) (|tptp.'tensor_ell2$'| (|tptp.'fun_app$t'| (|tptp.'cblinfun_apply$a'| |tptp.'a$'|) (|tptp.'ket$a'| |tptp.'i$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b2$'|) (|tptp.'ket$b'| |tptp.'j$'|)))))) (and (not (= (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| (|tptp.'tensor_op$'| |tptp.'a$'| (|tptp.'fun_app$m'| (|tptp.'fun_app$n'| |tptp.'plus$a'| |tptp.'b1$'|) |tptp.'b2$'|))) (|tptp.'fun_app$o'| |tptp.'ket$'| (|tptp.'fun_app$p'| (|tptp.'fun_app$q'| |tptp.'pair$'| |tptp.'i$'|) |tptp.'j$'|))) (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| (|tptp.'fun_app$r'| (|tptp.'fun_app$s'| |tptp.'plus$b'| (|tptp.'tensor_op$'| |tptp.'a$'| |tptp.'b1$'|)) (|tptp.'tensor_op$'| |tptp.'a$'| |tptp.'b2$'|))) (|tptp.'fun_app$o'| |tptp.'ket$'| (|tptp.'fun_app$p'| (|tptp.'fun_app$q'| |tptp.'pair$'| |tptp.'i$'|) |tptp.'j$'|))))) (= (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| (|tptp.'tensor_op$'| |tptp.'a$'| (|tptp.'fun_app$m'| (|tptp.'fun_app$n'| |tptp.'plus$a'| |tptp.'b1$'|) |tptp.'b2$'|))) (|tptp.'fun_app$o'| |tptp.'ket$'| (|tptp.'fun_app$p'| (|tptp.'fun_app$q'| |tptp.'pair$'| |tptp.'i$'|) |tptp.'j$'|))) (|tptp.'tensor_ell2$'| (|tptp.'fun_app$t'| (|tptp.'cblinfun_apply$a'| |tptp.'a$'|) (|tptp.'ket$a'| |tptp.'i$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| (|tptp.'fun_app$m'| (|tptp.'fun_app$n'| |tptp.'plus$a'| |tptp.'b1$'|) |tptp.'b2$'|)) (|tptp.'ket$b'| |tptp.'j$'|)))) (= (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| (|tptp.'fun_app$r'| (|tptp.'fun_app$s'| |tptp.'plus$b'| (|tptp.'tensor_op$'| |tptp.'a$'| |tptp.'b1$'|)) (|tptp.'tensor_op$'| |tptp.'a$'| |tptp.'b2$'|))) (|tptp.'fun_app$o'| |tptp.'ket$'| (|tptp.'fun_app$p'| (|tptp.'fun_app$q'| |tptp.'pair$'| |tptp.'i$'|) |tptp.'j$'|))) (|tptp.'plus$u'| (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| (|tptp.'tensor_op$'| |tptp.'a$'| |tptp.'b1$'|)) (|tptp.'fun_app$o'| |tptp.'ket$'| (|tptp.'fun_app$p'| (|tptp.'fun_app$q'| |tptp.'pair$'| |tptp.'i$'|) |tptp.'j$'|))) (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| (|tptp.'tensor_op$'| |tptp.'a$'| |tptp.'b2$'|)) (|tptp.'fun_app$o'| |tptp.'ket$'| (|tptp.'fun_app$p'| (|tptp.'fun_app$q'| |tptp.'pair$'| |tptp.'i$'|) |tptp.'j$'|))))) (= (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| (|tptp.'tensor_op$'| |tptp.'a$'| |tptp.'b2$'|)) (|tptp.'fun_app$o'| |tptp.'ket$'| (|tptp.'fun_app$p'| (|tptp.'fun_app$q'| |tptp.'pair$'| |tptp.'i$'|) |tptp.'j$'|))) (|tptp.'tensor_ell2$'| (|tptp.'fun_app$t'| (|tptp.'cblinfun_apply$a'| |tptp.'a$'|) (|tptp.'ket$a'| |tptp.'i$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b2$'|) (|tptp.'ket$b'| |tptp.'j$'|)))) (= (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| (|tptp.'tensor_op$'| |tptp.'a$'| |tptp.'b1$'|)) (|tptp.'fun_app$o'| |tptp.'ket$'| (|tptp.'fun_app$p'| (|tptp.'fun_app$q'| |tptp.'pair$'| |tptp.'i$'|) |tptp.'j$'|))) (|tptp.'tensor_ell2$'| (|tptp.'fun_app$t'| (|tptp.'cblinfun_apply$a'| |tptp.'a$'|) (|tptp.'ket$a'| |tptp.'i$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b1$'|) (|tptp.'ket$b'| |tptp.'j$'|)))) (= (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| (|tptp.'fun_app$m'| (|tptp.'fun_app$n'| |tptp.'plus$a'| |tptp.'b1$'|) |tptp.'b2$'|)) (|tptp.'ket$b'| |tptp.'j$'|)) (|tptp.'plus$i'| (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b1$'|) (|tptp.'ket$b'| |tptp.'j$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b2$'|) (|tptp.'ket$b'| |tptp.'j$'|)))) (= (|tptp.'tensor_ell2$'| (|tptp.'fun_app$t'| (|tptp.'cblinfun_apply$a'| |tptp.'a$'|) (|tptp.'ket$a'| |tptp.'i$'|)) (|tptp.'plus$i'| (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b1$'|) (|tptp.'ket$b'| |tptp.'j$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b2$'|) (|tptp.'ket$b'| |tptp.'j$'|)))) (|tptp.'plus$u'| (|tptp.'tensor_ell2$'| (|tptp.'fun_app$t'| (|tptp.'cblinfun_apply$a'| |tptp.'a$'|) (|tptp.'ket$a'| |tptp.'i$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b1$'|) (|tptp.'ket$b'| |tptp.'j$'|))) (|tptp.'tensor_ell2$'| (|tptp.'fun_app$t'| (|tptp.'cblinfun_apply$a'| |tptp.'a$'|) (|tptp.'ket$a'| |tptp.'i$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b2$'|) (|tptp.'ket$b'| |tptp.'j$'|)))))))) :rule refl)
% 1.07/1.27 (step t21 (cl (= (= (and (= (|tptp.'tensor_ell2$'| (|tptp.'fun_app$t'| (|tptp.'cblinfun_apply$a'| |tptp.'a$'|) (|tptp.'ket$a'| |tptp.'i$'|)) (|tptp.'plus$i'| (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b1$'|) (|tptp.'ket$b'| |tptp.'j$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b2$'|) (|tptp.'ket$b'| |tptp.'j$'|)))) (|tptp.'plus$u'| (|tptp.'tensor_ell2$'| (|tptp.'fun_app$t'| (|tptp.'cblinfun_apply$a'| |tptp.'a$'|) (|tptp.'ket$a'| |tptp.'i$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b1$'|) (|tptp.'ket$b'| |tptp.'j$'|))) (|tptp.'tensor_ell2$'| (|tptp.'fun_app$t'| (|tptp.'cblinfun_apply$a'| |tptp.'a$'|) (|tptp.'ket$a'| |tptp.'i$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b2$'|) (|tptp.'ket$b'| |tptp.'j$'|))))) (not (= (|tptp.'tensor_ell2$'| (|tptp.'fun_app$t'| (|tptp.'cblinfun_apply$a'| |tptp.'a$'|) (|tptp.'ket$a'| |tptp.'i$'|)) (|tptp.'plus$i'| (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b1$'|) (|tptp.'ket$b'| |tptp.'j$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b2$'|) (|tptp.'ket$b'| |tptp.'j$'|)))) (|tptp.'plus$u'| (|tptp.'tensor_ell2$'| (|tptp.'fun_app$t'| (|tptp.'cblinfun_apply$a'| |tptp.'a$'|) (|tptp.'ket$a'| |tptp.'i$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b1$'|) (|tptp.'ket$b'| |tptp.'j$'|))) (|tptp.'tensor_ell2$'| (|tptp.'fun_app$t'| (|tptp.'cblinfun_apply$a'| |tptp.'a$'|) (|tptp.'ket$a'| |tptp.'i$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b2$'|) (|tptp.'ket$b'| |tptp.'j$'|))))))) false) (not (and (= (|tptp.'tensor_ell2$'| (|tptp.'fun_app$t'| (|tptp.'cblinfun_apply$a'| |tptp.'a$'|) (|tptp.'ket$a'| |tptp.'i$'|)) (|tptp.'plus$i'| (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b1$'|) (|tptp.'ket$b'| |tptp.'j$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b2$'|) (|tptp.'ket$b'| |tptp.'j$'|)))) (|tptp.'plus$u'| (|tptp.'tensor_ell2$'| (|tptp.'fun_app$t'| (|tptp.'cblinfun_apply$a'| |tptp.'a$'|) (|tptp.'ket$a'| |tptp.'i$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b1$'|) (|tptp.'ket$b'| |tptp.'j$'|))) (|tptp.'tensor_ell2$'| (|tptp.'fun_app$t'| (|tptp.'cblinfun_apply$a'| |tptp.'a$'|) (|tptp.'ket$a'| |tptp.'i$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b2$'|) (|tptp.'ket$b'| |tptp.'j$'|))))) (not (= (|tptp.'tensor_ell2$'| (|tptp.'fun_app$t'| (|tptp.'cblinfun_apply$a'| |tptp.'a$'|) (|tptp.'ket$a'| |tptp.'i$'|)) (|tptp.'plus$i'| (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b1$'|) (|tptp.'ket$b'| |tptp.'j$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b2$'|) (|tptp.'ket$b'| |tptp.'j$'|)))) (|tptp.'plus$u'| (|tptp.'tensor_ell2$'| (|tptp.'fun_app$t'| (|tptp.'cblinfun_apply$a'| |tptp.'a$'|) (|tptp.'ket$a'| |tptp.'i$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b1$'|) (|tptp.'ket$b'| |tptp.'j$'|))) (|tptp.'tensor_ell2$'| (|tptp.'fun_app$t'| (|tptp.'cblinfun_apply$a'| |tptp.'a$'|) (|tptp.'ket$a'| |tptp.'i$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b2$'|) (|tptp.'ket$b'| |tptp.'j$'|)))))))))) :rule equiv_simplify)
% 1.07/1.27 (step t22 (cl (= (and (= (|tptp.'tensor_ell2$'| (|tptp.'fun_app$t'| (|tptp.'cblinfun_apply$a'| |tptp.'a$'|) (|tptp.'ket$a'| |tptp.'i$'|)) (|tptp.'plus$i'| (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b1$'|) (|tptp.'ket$b'| |tptp.'j$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b2$'|) (|tptp.'ket$b'| |tptp.'j$'|)))) (|tptp.'plus$u'| (|tptp.'tensor_ell2$'| (|tptp.'fun_app$t'| (|tptp.'cblinfun_apply$a'| |tptp.'a$'|) (|tptp.'ket$a'| |tptp.'i$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b1$'|) (|tptp.'ket$b'| |tptp.'j$'|))) (|tptp.'tensor_ell2$'| (|tptp.'fun_app$t'| (|tptp.'cblinfun_apply$a'| |tptp.'a$'|) (|tptp.'ket$a'| |tptp.'i$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b2$'|) (|tptp.'ket$b'| |tptp.'j$'|))))) (not (= (|tptp.'tensor_ell2$'| (|tptp.'fun_app$t'| (|tptp.'cblinfun_apply$a'| |tptp.'a$'|) (|tptp.'ket$a'| |tptp.'i$'|)) (|tptp.'plus$i'| (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b1$'|) (|tptp.'ket$b'| |tptp.'j$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b2$'|) (|tptp.'ket$b'| |tptp.'j$'|)))) (|tptp.'plus$u'| (|tptp.'tensor_ell2$'| (|tptp.'fun_app$t'| (|tptp.'cblinfun_apply$a'| |tptp.'a$'|) (|tptp.'ket$a'| |tptp.'i$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b1$'|) (|tptp.'ket$b'| |tptp.'j$'|))) (|tptp.'tensor_ell2$'| (|tptp.'fun_app$t'| (|tptp.'cblinfun_apply$a'| |tptp.'a$'|) (|tptp.'ket$a'| |tptp.'i$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b2$'|) (|tptp.'ket$b'| |tptp.'j$'|))))))) false) (not (not (and (= (|tptp.'tensor_ell2$'| (|tptp.'fun_app$t'| (|tptp.'cblinfun_apply$a'| |tptp.'a$'|) (|tptp.'ket$a'| |tptp.'i$'|)) (|tptp.'plus$i'| (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b1$'|) (|tptp.'ket$b'| |tptp.'j$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b2$'|) (|tptp.'ket$b'| |tptp.'j$'|)))) (|tptp.'plus$u'| (|tptp.'tensor_ell2$'| (|tptp.'fun_app$t'| (|tptp.'cblinfun_apply$a'| |tptp.'a$'|) (|tptp.'ket$a'| |tptp.'i$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b1$'|) (|tptp.'ket$b'| |tptp.'j$'|))) (|tptp.'tensor_ell2$'| (|tptp.'fun_app$t'| (|tptp.'cblinfun_apply$a'| |tptp.'a$'|) (|tptp.'ket$a'| |tptp.'i$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b2$'|) (|tptp.'ket$b'| |tptp.'j$'|))))) (not (= (|tptp.'tensor_ell2$'| (|tptp.'fun_app$t'| (|tptp.'cblinfun_apply$a'| |tptp.'a$'|) (|tptp.'ket$a'| |tptp.'i$'|)) (|tptp.'plus$i'| (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b1$'|) (|tptp.'ket$b'| |tptp.'j$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b2$'|) (|tptp.'ket$b'| |tptp.'j$'|)))) (|tptp.'plus$u'| (|tptp.'tensor_ell2$'| (|tptp.'fun_app$t'| (|tptp.'cblinfun_apply$a'| |tptp.'a$'|) (|tptp.'ket$a'| |tptp.'i$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b1$'|) (|tptp.'ket$b'| |tptp.'j$'|))) (|tptp.'tensor_ell2$'| (|tptp.'fun_app$t'| (|tptp.'cblinfun_apply$a'| |tptp.'a$'|) (|tptp.'ket$a'| |tptp.'i$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b2$'|) (|tptp.'ket$b'| |tptp.'j$'|)))))))))) :rule equiv2 :premises (t21))
% 1.07/1.27 (step t23 (cl (not (not (not (and (= (|tptp.'tensor_ell2$'| (|tptp.'fun_app$t'| (|tptp.'cblinfun_apply$a'| |tptp.'a$'|) (|tptp.'ket$a'| |tptp.'i$'|)) (|tptp.'plus$i'| (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b1$'|) (|tptp.'ket$b'| |tptp.'j$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b2$'|) (|tptp.'ket$b'| |tptp.'j$'|)))) (|tptp.'plus$u'| (|tptp.'tensor_ell2$'| (|tptp.'fun_app$t'| (|tptp.'cblinfun_apply$a'| |tptp.'a$'|) (|tptp.'ket$a'| |tptp.'i$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b1$'|) (|tptp.'ket$b'| |tptp.'j$'|))) (|tptp.'tensor_ell2$'| (|tptp.'fun_app$t'| (|tptp.'cblinfun_apply$a'| |tptp.'a$'|) (|tptp.'ket$a'| |tptp.'i$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b2$'|) (|tptp.'ket$b'| |tptp.'j$'|))))) (not (= (|tptp.'tensor_ell2$'| (|tptp.'fun_app$t'| (|tptp.'cblinfun_apply$a'| |tptp.'a$'|) (|tptp.'ket$a'| |tptp.'i$'|)) (|tptp.'plus$i'| (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b1$'|) (|tptp.'ket$b'| |tptp.'j$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b2$'|) (|tptp.'ket$b'| |tptp.'j$'|)))) (|tptp.'plus$u'| (|tptp.'tensor_ell2$'| (|tptp.'fun_app$t'| (|tptp.'cblinfun_apply$a'| |tptp.'a$'|) (|tptp.'ket$a'| |tptp.'i$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b1$'|) (|tptp.'ket$b'| |tptp.'j$'|))) (|tptp.'tensor_ell2$'| (|tptp.'fun_app$t'| (|tptp.'cblinfun_apply$a'| |tptp.'a$'|) (|tptp.'ket$a'| |tptp.'i$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b2$'|) (|tptp.'ket$b'| |tptp.'j$'|)))))))))) (and (= (|tptp.'tensor_ell2$'| (|tptp.'fun_app$t'| (|tptp.'cblinfun_apply$a'| |tptp.'a$'|) (|tptp.'ket$a'| |tptp.'i$'|)) (|tptp.'plus$i'| (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b1$'|) (|tptp.'ket$b'| |tptp.'j$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b2$'|) (|tptp.'ket$b'| |tptp.'j$'|)))) (|tptp.'plus$u'| (|tptp.'tensor_ell2$'| (|tptp.'fun_app$t'| (|tptp.'cblinfun_apply$a'| |tptp.'a$'|) (|tptp.'ket$a'| |tptp.'i$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b1$'|) (|tptp.'ket$b'| |tptp.'j$'|))) (|tptp.'tensor_ell2$'| (|tptp.'fun_app$t'| (|tptp.'cblinfun_apply$a'| |tptp.'a$'|) (|tptp.'ket$a'| |tptp.'i$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b2$'|) (|tptp.'ket$b'| |tptp.'j$'|))))) (not (= (|tptp.'tensor_ell2$'| (|tptp.'fun_app$t'| (|tptp.'cblinfun_apply$a'| |tptp.'a$'|) (|tptp.'ket$a'| |tptp.'i$'|)) (|tptp.'plus$i'| (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b1$'|) (|tptp.'ket$b'| |tptp.'j$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b2$'|) (|tptp.'ket$b'| |tptp.'j$'|)))) (|tptp.'plus$u'| (|tptp.'tensor_ell2$'| (|tptp.'fun_app$t'| (|tptp.'cblinfun_apply$a'| |tptp.'a$'|) (|tptp.'ket$a'| |tptp.'i$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b1$'|) (|tptp.'ket$b'| |tptp.'j$'|))) (|tptp.'tensor_ell2$'| (|tptp.'fun_app$t'| (|tptp.'cblinfun_apply$a'| |tptp.'a$'|) (|tptp.'ket$a'| |tptp.'i$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b2$'|) (|tptp.'ket$b'| |tptp.'j$'|)))))))) :rule not_not)
% 1.07/1.27 (step t24 (cl (= (and (= (|tptp.'tensor_ell2$'| (|tptp.'fun_app$t'| (|tptp.'cblinfun_apply$a'| |tptp.'a$'|) (|tptp.'ket$a'| |tptp.'i$'|)) (|tptp.'plus$i'| (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b1$'|) (|tptp.'ket$b'| |tptp.'j$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b2$'|) (|tptp.'ket$b'| |tptp.'j$'|)))) (|tptp.'plus$u'| (|tptp.'tensor_ell2$'| (|tptp.'fun_app$t'| (|tptp.'cblinfun_apply$a'| |tptp.'a$'|) (|tptp.'ket$a'| |tptp.'i$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b1$'|) (|tptp.'ket$b'| |tptp.'j$'|))) (|tptp.'tensor_ell2$'| (|tptp.'fun_app$t'| (|tptp.'cblinfun_apply$a'| |tptp.'a$'|) (|tptp.'ket$a'| |tptp.'i$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b2$'|) (|tptp.'ket$b'| |tptp.'j$'|))))) (not (= (|tptp.'tensor_ell2$'| (|tptp.'fun_app$t'| (|tptp.'cblinfun_apply$a'| |tptp.'a$'|) (|tptp.'ket$a'| |tptp.'i$'|)) (|tptp.'plus$i'| (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b1$'|) (|tptp.'ket$b'| |tptp.'j$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b2$'|) (|tptp.'ket$b'| |tptp.'j$'|)))) (|tptp.'plus$u'| (|tptp.'tensor_ell2$'| (|tptp.'fun_app$t'| (|tptp.'cblinfun_apply$a'| |tptp.'a$'|) (|tptp.'ket$a'| |tptp.'i$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b1$'|) (|tptp.'ket$b'| |tptp.'j$'|))) (|tptp.'tensor_ell2$'| (|tptp.'fun_app$t'| (|tptp.'cblinfun_apply$a'| |tptp.'a$'|) (|tptp.'ket$a'| |tptp.'i$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b2$'|) (|tptp.'ket$b'| |tptp.'j$'|))))))) false) (and (= (|tptp.'tensor_ell2$'| (|tptp.'fun_app$t'| (|tptp.'cblinfun_apply$a'| |tptp.'a$'|) (|tptp.'ket$a'| |tptp.'i$'|)) (|tptp.'plus$i'| (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b1$'|) (|tptp.'ket$b'| |tptp.'j$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b2$'|) (|tptp.'ket$b'| |tptp.'j$'|)))) (|tptp.'plus$u'| (|tptp.'tensor_ell2$'| (|tptp.'fun_app$t'| (|tptp.'cblinfun_apply$a'| |tptp.'a$'|) (|tptp.'ket$a'| |tptp.'i$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b1$'|) (|tptp.'ket$b'| |tptp.'j$'|))) (|tptp.'tensor_ell2$'| (|tptp.'fun_app$t'| (|tptp.'cblinfun_apply$a'| |tptp.'a$'|) (|tptp.'ket$a'| |tptp.'i$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b2$'|) (|tptp.'ket$b'| |tptp.'j$'|))))) (not (= (|tptp.'tensor_ell2$'| (|tptp.'fun_app$t'| (|tptp.'cblinfun_apply$a'| |tptp.'a$'|) (|tptp.'ket$a'| |tptp.'i$'|)) (|tptp.'plus$i'| (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b1$'|) (|tptp.'ket$b'| |tptp.'j$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b2$'|) (|tptp.'ket$b'| |tptp.'j$'|)))) (|tptp.'plus$u'| (|tptp.'tensor_ell2$'| (|tptp.'fun_app$t'| (|tptp.'cblinfun_apply$a'| |tptp.'a$'|) (|tptp.'ket$a'| |tptp.'i$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b1$'|) (|tptp.'ket$b'| |tptp.'j$'|))) (|tptp.'tensor_ell2$'| (|tptp.'fun_app$t'| (|tptp.'cblinfun_apply$a'| |tptp.'a$'|) (|tptp.'ket$a'| |tptp.'i$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b2$'|) (|tptp.'ket$b'| |tptp.'j$'|)))))))) :rule resolution :premises (t22 t23))
% 1.07/1.27 (step t25 (cl (=> (and (= (|tptp.'tensor_ell2$'| (|tptp.'fun_app$t'| (|tptp.'cblinfun_apply$a'| |tptp.'a$'|) (|tptp.'ket$a'| |tptp.'i$'|)) (|tptp.'plus$i'| (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b1$'|) (|tptp.'ket$b'| |tptp.'j$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b2$'|) (|tptp.'ket$b'| |tptp.'j$'|)))) (|tptp.'plus$u'| (|tptp.'tensor_ell2$'| (|tptp.'fun_app$t'| (|tptp.'cblinfun_apply$a'| |tptp.'a$'|) (|tptp.'ket$a'| |tptp.'i$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b1$'|) (|tptp.'ket$b'| |tptp.'j$'|))) (|tptp.'tensor_ell2$'| (|tptp.'fun_app$t'| (|tptp.'cblinfun_apply$a'| |tptp.'a$'|) (|tptp.'ket$a'| |tptp.'i$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b2$'|) (|tptp.'ket$b'| |tptp.'j$'|))))) (not (= (|tptp.'tensor_ell2$'| (|tptp.'fun_app$t'| (|tptp.'cblinfun_apply$a'| |tptp.'a$'|) (|tptp.'ket$a'| |tptp.'i$'|)) (|tptp.'plus$i'| (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b1$'|) (|tptp.'ket$b'| |tptp.'j$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b2$'|) (|tptp.'ket$b'| |tptp.'j$'|)))) (|tptp.'plus$u'| (|tptp.'tensor_ell2$'| (|tptp.'fun_app$t'| (|tptp.'cblinfun_apply$a'| |tptp.'a$'|) (|tptp.'ket$a'| |tptp.'i$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b1$'|) (|tptp.'ket$b'| |tptp.'j$'|))) (|tptp.'tensor_ell2$'| (|tptp.'fun_app$t'| (|tptp.'cblinfun_apply$a'| |tptp.'a$'|) (|tptp.'ket$a'| |tptp.'i$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b2$'|) (|tptp.'ket$b'| |tptp.'j$'|))))))) false) (and (= (|tptp.'tensor_ell2$'| (|tptp.'fun_app$t'| (|tptp.'cblinfun_apply$a'| |tptp.'a$'|) (|tptp.'ket$a'| |tptp.'i$'|)) (|tptp.'plus$i'| (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b1$'|) (|tptp.'ket$b'| |tptp.'j$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b2$'|) (|tptp.'ket$b'| |tptp.'j$'|)))) (|tptp.'plus$u'| (|tptp.'tensor_ell2$'| (|tptp.'fun_app$t'| (|tptp.'cblinfun_apply$a'| |tptp.'a$'|) (|tptp.'ket$a'| |tptp.'i$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b1$'|) (|tptp.'ket$b'| |tptp.'j$'|))) (|tptp.'tensor_ell2$'| (|tptp.'fun_app$t'| (|tptp.'cblinfun_apply$a'| |tptp.'a$'|) (|tptp.'ket$a'| |tptp.'i$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b2$'|) (|tptp.'ket$b'| |tptp.'j$'|))))) (not (= (|tptp.'tensor_ell2$'| (|tptp.'fun_app$t'| (|tptp.'cblinfun_apply$a'| |tptp.'a$'|) (|tptp.'ket$a'| |tptp.'i$'|)) (|tptp.'plus$i'| (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b1$'|) (|tptp.'ket$b'| |tptp.'j$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b2$'|) (|tptp.'ket$b'| |tptp.'j$'|)))) (|tptp.'plus$u'| (|tptp.'tensor_ell2$'| (|tptp.'fun_app$t'| (|tptp.'cblinfun_apply$a'| |tptp.'a$'|) (|tptp.'ket$a'| |tptp.'i$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b1$'|) (|tptp.'ket$b'| |tptp.'j$'|))) (|tptp.'tensor_ell2$'| (|tptp.'fun_app$t'| (|tptp.'cblinfun_apply$a'| |tptp.'a$'|) (|tptp.'ket$a'| |tptp.'i$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b2$'|) (|tptp.'ket$b'| |tptp.'j$'|)))))))) :rule implies_neg1)
% 1.07/1.27 (anchor :step t26)
% 1.07/1.27 (assume t26.a0 (= (|tptp.'tensor_ell2$'| (|tptp.'fun_app$t'| (|tptp.'cblinfun_apply$a'| |tptp.'a$'|) (|tptp.'ket$a'| |tptp.'i$'|)) (|tptp.'plus$i'| (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b1$'|) (|tptp.'ket$b'| |tptp.'j$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b2$'|) (|tptp.'ket$b'| |tptp.'j$'|)))) (|tptp.'plus$u'| (|tptp.'tensor_ell2$'| (|tptp.'fun_app$t'| (|tptp.'cblinfun_apply$a'| |tptp.'a$'|) (|tptp.'ket$a'| |tptp.'i$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b1$'|) (|tptp.'ket$b'| |tptp.'j$'|))) (|tptp.'tensor_ell2$'| (|tptp.'fun_app$t'| (|tptp.'cblinfun_apply$a'| |tptp.'a$'|) (|tptp.'ket$a'| |tptp.'i$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b2$'|) (|tptp.'ket$b'| |tptp.'j$'|))))))
% 1.07/1.27 (assume t26.a1 (not (= (|tptp.'tensor_ell2$'| (|tptp.'fun_app$t'| (|tptp.'cblinfun_apply$a'| |tptp.'a$'|) (|tptp.'ket$a'| |tptp.'i$'|)) (|tptp.'plus$i'| (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b1$'|) (|tptp.'ket$b'| |tptp.'j$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b2$'|) (|tptp.'ket$b'| |tptp.'j$'|)))) (|tptp.'plus$u'| (|tptp.'tensor_ell2$'| (|tptp.'fun_app$t'| (|tptp.'cblinfun_apply$a'| |tptp.'a$'|) (|tptp.'ket$a'| |tptp.'i$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b1$'|) (|tptp.'ket$b'| |tptp.'j$'|))) (|tptp.'tensor_ell2$'| (|tptp.'fun_app$t'| (|tptp.'cblinfun_apply$a'| |tptp.'a$'|) (|tptp.'ket$a'| |tptp.'i$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b2$'|) (|tptp.'ket$b'| |tptp.'j$'|)))))))
% 1.07/1.27 (step t26.t1 (cl (not (= (= false true) false)) (not (= false true)) false) :rule equiv_pos2)
% 1.07/1.27 (step t26.t2 (cl (= (= false true) false)) :rule all_simplify)
% 1.07/1.27 (step t26.t3 (cl (= (= (= (|tptp.'tensor_ell2$'| (|tptp.'fun_app$t'| (|tptp.'cblinfun_apply$a'| |tptp.'a$'|) (|tptp.'ket$a'| |tptp.'i$'|)) (|tptp.'plus$i'| (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b1$'|) (|tptp.'ket$b'| |tptp.'j$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b2$'|) (|tptp.'ket$b'| |tptp.'j$'|)))) (|tptp.'plus$u'| (|tptp.'tensor_ell2$'| (|tptp.'fun_app$t'| (|tptp.'cblinfun_apply$a'| |tptp.'a$'|) (|tptp.'ket$a'| |tptp.'i$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b1$'|) (|tptp.'ket$b'| |tptp.'j$'|))) (|tptp.'tensor_ell2$'| (|tptp.'fun_app$t'| (|tptp.'cblinfun_apply$a'| |tptp.'a$'|) (|tptp.'ket$a'| |tptp.'i$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b2$'|) (|tptp.'ket$b'| |tptp.'j$'|))))) false) (not (= (|tptp.'tensor_ell2$'| (|tptp.'fun_app$t'| (|tptp.'cblinfun_apply$a'| |tptp.'a$'|) (|tptp.'ket$a'| |tptp.'i$'|)) (|tptp.'plus$i'| (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b1$'|) (|tptp.'ket$b'| |tptp.'j$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b2$'|) (|tptp.'ket$b'| |tptp.'j$'|)))) (|tptp.'plus$u'| (|tptp.'tensor_ell2$'| (|tptp.'fun_app$t'| (|tptp.'cblinfun_apply$a'| |tptp.'a$'|) (|tptp.'ket$a'| |tptp.'i$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b1$'|) (|tptp.'ket$b'| |tptp.'j$'|))) (|tptp.'tensor_ell2$'| (|tptp.'fun_app$t'| (|tptp.'cblinfun_apply$a'| |tptp.'a$'|) (|tptp.'ket$a'| |tptp.'i$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b2$'|) (|tptp.'ket$b'| |tptp.'j$'|)))))))) :rule equiv_simplify)
% 1.07/1.27 (step t26.t4 (cl (= (= (|tptp.'tensor_ell2$'| (|tptp.'fun_app$t'| (|tptp.'cblinfun_apply$a'| |tptp.'a$'|) (|tptp.'ket$a'| |tptp.'i$'|)) (|tptp.'plus$i'| (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b1$'|) (|tptp.'ket$b'| |tptp.'j$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b2$'|) (|tptp.'ket$b'| |tptp.'j$'|)))) (|tptp.'plus$u'| (|tptp.'tensor_ell2$'| (|tptp.'fun_app$t'| (|tptp.'cblinfun_apply$a'| |tptp.'a$'|) (|tptp.'ket$a'| |tptp.'i$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b1$'|) (|tptp.'ket$b'| |tptp.'j$'|))) (|tptp.'tensor_ell2$'| (|tptp.'fun_app$t'| (|tptp.'cblinfun_apply$a'| |tptp.'a$'|) (|tptp.'ket$a'| |tptp.'i$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b2$'|) (|tptp.'ket$b'| |tptp.'j$'|))))) false) (not (not (= (|tptp.'tensor_ell2$'| (|tptp.'fun_app$t'| (|tptp.'cblinfun_apply$a'| |tptp.'a$'|) (|tptp.'ket$a'| |tptp.'i$'|)) (|tptp.'plus$i'| (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b1$'|) (|tptp.'ket$b'| |tptp.'j$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b2$'|) (|tptp.'ket$b'| |tptp.'j$'|)))) (|tptp.'plus$u'| (|tptp.'tensor_ell2$'| (|tptp.'fun_app$t'| (|tptp.'cblinfun_apply$a'| |tptp.'a$'|) (|tptp.'ket$a'| |tptp.'i$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b1$'|) (|tptp.'ket$b'| |tptp.'j$'|))) (|tptp.'tensor_ell2$'| (|tptp.'fun_app$t'| (|tptp.'cblinfun_apply$a'| |tptp.'a$'|) (|tptp.'ket$a'| |tptp.'i$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b2$'|) (|tptp.'ket$b'| |tptp.'j$'|)))))))) :rule equiv2 :premises (t26.t3))
% 1.07/1.27 (step t26.t5 (cl (not (not (not (= (|tptp.'tensor_ell2$'| (|tptp.'fun_app$t'| (|tptp.'cblinfun_apply$a'| |tptp.'a$'|) (|tptp.'ket$a'| |tptp.'i$'|)) (|tptp.'plus$i'| (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b1$'|) (|tptp.'ket$b'| |tptp.'j$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b2$'|) (|tptp.'ket$b'| |tptp.'j$'|)))) (|tptp.'plus$u'| (|tptp.'tensor_ell2$'| (|tptp.'fun_app$t'| (|tptp.'cblinfun_apply$a'| |tptp.'a$'|) (|tptp.'ket$a'| |tptp.'i$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b1$'|) (|tptp.'ket$b'| |tptp.'j$'|))) (|tptp.'tensor_ell2$'| (|tptp.'fun_app$t'| (|tptp.'cblinfun_apply$a'| |tptp.'a$'|) (|tptp.'ket$a'| |tptp.'i$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b2$'|) (|tptp.'ket$b'| |tptp.'j$'|)))))))) (= (|tptp.'tensor_ell2$'| (|tptp.'fun_app$t'| (|tptp.'cblinfun_apply$a'| |tptp.'a$'|) (|tptp.'ket$a'| |tptp.'i$'|)) (|tptp.'plus$i'| (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b1$'|) (|tptp.'ket$b'| |tptp.'j$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b2$'|) (|tptp.'ket$b'| |tptp.'j$'|)))) (|tptp.'plus$u'| (|tptp.'tensor_ell2$'| (|tptp.'fun_app$t'| (|tptp.'cblinfun_apply$a'| |tptp.'a$'|) (|tptp.'ket$a'| |tptp.'i$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b1$'|) (|tptp.'ket$b'| |tptp.'j$'|))) (|tptp.'tensor_ell2$'| (|tptp.'fun_app$t'| (|tptp.'cblinfun_apply$a'| |tptp.'a$'|) (|tptp.'ket$a'| |tptp.'i$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b2$'|) (|tptp.'ket$b'| |tptp.'j$'|)))))) :rule not_not)
% 1.07/1.27 (step t26.t6 (cl (= (= (|tptp.'tensor_ell2$'| (|tptp.'fun_app$t'| (|tptp.'cblinfun_apply$a'| |tptp.'a$'|) (|tptp.'ket$a'| |tptp.'i$'|)) (|tptp.'plus$i'| (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b1$'|) (|tptp.'ket$b'| |tptp.'j$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b2$'|) (|tptp.'ket$b'| |tptp.'j$'|)))) (|tptp.'plus$u'| (|tptp.'tensor_ell2$'| (|tptp.'fun_app$t'| (|tptp.'cblinfun_apply$a'| |tptp.'a$'|) (|tptp.'ket$a'| |tptp.'i$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b1$'|) (|tptp.'ket$b'| |tptp.'j$'|))) (|tptp.'tensor_ell2$'| (|tptp.'fun_app$t'| (|tptp.'cblinfun_apply$a'| |tptp.'a$'|) (|tptp.'ket$a'| |tptp.'i$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b2$'|) (|tptp.'ket$b'| |tptp.'j$'|))))) false) (= (|tptp.'tensor_ell2$'| (|tptp.'fun_app$t'| (|tptp.'cblinfun_apply$a'| |tptp.'a$'|) (|tptp.'ket$a'| |tptp.'i$'|)) (|tptp.'plus$i'| (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b1$'|) (|tptp.'ket$b'| |tptp.'j$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b2$'|) (|tptp.'ket$b'| |tptp.'j$'|)))) (|tptp.'plus$u'| (|tptp.'tensor_ell2$'| (|tptp.'fun_app$t'| (|tptp.'cblinfun_apply$a'| |tptp.'a$'|) (|tptp.'ket$a'| |tptp.'i$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b1$'|) (|tptp.'ket$b'| |tptp.'j$'|))) (|tptp.'tensor_ell2$'| (|tptp.'fun_app$t'| (|tptp.'cblinfun_apply$a'| |tptp.'a$'|) (|tptp.'ket$a'| |tptp.'i$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b2$'|) (|tptp.'ket$b'| |tptp.'j$'|)))))) :rule resolution :premises (t26.t4 t26.t5))
% 1.07/1.27 (step t26.t7 (cl (= (= (|tptp.'tensor_ell2$'| (|tptp.'fun_app$t'| (|tptp.'cblinfun_apply$a'| |tptp.'a$'|) (|tptp.'ket$a'| |tptp.'i$'|)) (|tptp.'plus$i'| (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b1$'|) (|tptp.'ket$b'| |tptp.'j$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b2$'|) (|tptp.'ket$b'| |tptp.'j$'|)))) (|tptp.'plus$u'| (|tptp.'tensor_ell2$'| (|tptp.'fun_app$t'| (|tptp.'cblinfun_apply$a'| |tptp.'a$'|) (|tptp.'ket$a'| |tptp.'i$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b1$'|) (|tptp.'ket$b'| |tptp.'j$'|))) (|tptp.'tensor_ell2$'| (|tptp.'fun_app$t'| (|tptp.'cblinfun_apply$a'| |tptp.'a$'|) (|tptp.'ket$a'| |tptp.'i$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b2$'|) (|tptp.'ket$b'| |tptp.'j$'|))))) false)) :rule resolution :premises (t26.t6 t26.a1))
% 1.07/1.27 (step t26.t8 (cl (= false (= (|tptp.'tensor_ell2$'| (|tptp.'fun_app$t'| (|tptp.'cblinfun_apply$a'| |tptp.'a$'|) (|tptp.'ket$a'| |tptp.'i$'|)) (|tptp.'plus$i'| (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b1$'|) (|tptp.'ket$b'| |tptp.'j$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b2$'|) (|tptp.'ket$b'| |tptp.'j$'|)))) (|tptp.'plus$u'| (|tptp.'tensor_ell2$'| (|tptp.'fun_app$t'| (|tptp.'cblinfun_apply$a'| |tptp.'a$'|) (|tptp.'ket$a'| |tptp.'i$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b1$'|) (|tptp.'ket$b'| |tptp.'j$'|))) (|tptp.'tensor_ell2$'| (|tptp.'fun_app$t'| (|tptp.'cblinfun_apply$a'| |tptp.'a$'|) (|tptp.'ket$a'| |tptp.'i$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b2$'|) (|tptp.'ket$b'| |tptp.'j$'|))))))) :rule symm :premises (t26.t7))
% 1.07/1.27 (step t26.t9 (cl (= (= (= (|tptp.'tensor_ell2$'| (|tptp.'fun_app$t'| (|tptp.'cblinfun_apply$a'| |tptp.'a$'|) (|tptp.'ket$a'| |tptp.'i$'|)) (|tptp.'plus$i'| (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b1$'|) (|tptp.'ket$b'| |tptp.'j$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b2$'|) (|tptp.'ket$b'| |tptp.'j$'|)))) (|tptp.'plus$u'| (|tptp.'tensor_ell2$'| (|tptp.'fun_app$t'| (|tptp.'cblinfun_apply$a'| |tptp.'a$'|) (|tptp.'ket$a'| |tptp.'i$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b1$'|) (|tptp.'ket$b'| |tptp.'j$'|))) (|tptp.'tensor_ell2$'| (|tptp.'fun_app$t'| (|tptp.'cblinfun_apply$a'| |tptp.'a$'|) (|tptp.'ket$a'| |tptp.'i$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b2$'|) (|tptp.'ket$b'| |tptp.'j$'|))))) true) (= (|tptp.'tensor_ell2$'| (|tptp.'fun_app$t'| (|tptp.'cblinfun_apply$a'| |tptp.'a$'|) (|tptp.'ket$a'| |tptp.'i$'|)) (|tptp.'plus$i'| (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b1$'|) (|tptp.'ket$b'| |tptp.'j$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b2$'|) (|tptp.'ket$b'| |tptp.'j$'|)))) (|tptp.'plus$u'| (|tptp.'tensor_ell2$'| (|tptp.'fun_app$t'| (|tptp.'cblinfun_apply$a'| |tptp.'a$'|) (|tptp.'ket$a'| |tptp.'i$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b1$'|) (|tptp.'ket$b'| |tptp.'j$'|))) (|tptp.'tensor_ell2$'| (|tptp.'fun_app$t'| (|tptp.'cblinfun_apply$a'| |tptp.'a$'|) (|tptp.'ket$a'| |tptp.'i$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b2$'|) (|tptp.'ket$b'| |tptp.'j$'|))))))) :rule equiv_simplify)
% 1.07/1.27 (step t26.t10 (cl (= (= (|tptp.'tensor_ell2$'| (|tptp.'fun_app$t'| (|tptp.'cblinfun_apply$a'| |tptp.'a$'|) (|tptp.'ket$a'| |tptp.'i$'|)) (|tptp.'plus$i'| (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b1$'|) (|tptp.'ket$b'| |tptp.'j$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b2$'|) (|tptp.'ket$b'| |tptp.'j$'|)))) (|tptp.'plus$u'| (|tptp.'tensor_ell2$'| (|tptp.'fun_app$t'| (|tptp.'cblinfun_apply$a'| |tptp.'a$'|) (|tptp.'ket$a'| |tptp.'i$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b1$'|) (|tptp.'ket$b'| |tptp.'j$'|))) (|tptp.'tensor_ell2$'| (|tptp.'fun_app$t'| (|tptp.'cblinfun_apply$a'| |tptp.'a$'|) (|tptp.'ket$a'| |tptp.'i$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b2$'|) (|tptp.'ket$b'| |tptp.'j$'|))))) true) (not (= (|tptp.'tensor_ell2$'| (|tptp.'fun_app$t'| (|tptp.'cblinfun_apply$a'| |tptp.'a$'|) (|tptp.'ket$a'| |tptp.'i$'|)) (|tptp.'plus$i'| (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b1$'|) (|tptp.'ket$b'| |tptp.'j$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b2$'|) (|tptp.'ket$b'| |tptp.'j$'|)))) (|tptp.'plus$u'| (|tptp.'tensor_ell2$'| (|tptp.'fun_app$t'| (|tptp.'cblinfun_apply$a'| |tptp.'a$'|) (|tptp.'ket$a'| |tptp.'i$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b1$'|) (|tptp.'ket$b'| |tptp.'j$'|))) (|tptp.'tensor_ell2$'| (|tptp.'fun_app$t'| (|tptp.'cblinfun_apply$a'| |tptp.'a$'|) (|tptp.'ket$a'| |tptp.'i$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b2$'|) (|tptp.'ket$b'| |tptp.'j$'|))))))) :rule equiv2 :premises (t26.t9))
% 1.07/1.27 (step t26.t11 (cl (= (|tptp.'plus$u'| (|tptp.'tensor_ell2$'| (|tptp.'fun_app$t'| (|tptp.'cblinfun_apply$a'| |tptp.'a$'|) (|tptp.'ket$a'| |tptp.'i$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b1$'|) (|tptp.'ket$b'| |tptp.'j$'|))) (|tptp.'tensor_ell2$'| (|tptp.'fun_app$t'| (|tptp.'cblinfun_apply$a'| |tptp.'a$'|) (|tptp.'ket$a'| |tptp.'i$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b2$'|) (|tptp.'ket$b'| |tptp.'j$'|)))) (|tptp.'tensor_ell2$'| (|tptp.'fun_app$t'| (|tptp.'cblinfun_apply$a'| |tptp.'a$'|) (|tptp.'ket$a'| |tptp.'i$'|)) (|tptp.'plus$i'| (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b1$'|) (|tptp.'ket$b'| |tptp.'j$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b2$'|) (|tptp.'ket$b'| |tptp.'j$'|)))))) :rule symm :premises (t26.a0))
% 1.07/1.27 (step t26.t12 (cl (= (|tptp.'tensor_ell2$'| (|tptp.'fun_app$t'| (|tptp.'cblinfun_apply$a'| |tptp.'a$'|) (|tptp.'ket$a'| |tptp.'i$'|)) (|tptp.'plus$i'| (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b1$'|) (|tptp.'ket$b'| |tptp.'j$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b2$'|) (|tptp.'ket$b'| |tptp.'j$'|)))) (|tptp.'plus$u'| (|tptp.'tensor_ell2$'| (|tptp.'fun_app$t'| (|tptp.'cblinfun_apply$a'| |tptp.'a$'|) (|tptp.'ket$a'| |tptp.'i$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b1$'|) (|tptp.'ket$b'| |tptp.'j$'|))) (|tptp.'tensor_ell2$'| (|tptp.'fun_app$t'| (|tptp.'cblinfun_apply$a'| |tptp.'a$'|) (|tptp.'ket$a'| |tptp.'i$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b2$'|) (|tptp.'ket$b'| |tptp.'j$'|)))))) :rule symm :premises (t26.t11))
% 1.07/1.27 (step t26.t13 (cl (= (= (|tptp.'tensor_ell2$'| (|tptp.'fun_app$t'| (|tptp.'cblinfun_apply$a'| |tptp.'a$'|) (|tptp.'ket$a'| |tptp.'i$'|)) (|tptp.'plus$i'| (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b1$'|) (|tptp.'ket$b'| |tptp.'j$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b2$'|) (|tptp.'ket$b'| |tptp.'j$'|)))) (|tptp.'plus$u'| (|tptp.'tensor_ell2$'| (|tptp.'fun_app$t'| (|tptp.'cblinfun_apply$a'| |tptp.'a$'|) (|tptp.'ket$a'| |tptp.'i$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b1$'|) (|tptp.'ket$b'| |tptp.'j$'|))) (|tptp.'tensor_ell2$'| (|tptp.'fun_app$t'| (|tptp.'cblinfun_apply$a'| |tptp.'a$'|) (|tptp.'ket$a'| |tptp.'i$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b2$'|) (|tptp.'ket$b'| |tptp.'j$'|))))) true)) :rule resolution :premises (t26.t10 t26.t12))
% 1.07/1.27 (step t26.t14 (cl (= false true)) :rule trans :premises (t26.t8 t26.t13))
% 1.07/1.27 (step t26.t15 (cl false) :rule resolution :premises (t26.t1 t26.t2 t26.t14))
% 1.07/1.27 (step t26 (cl (not (= (|tptp.'tensor_ell2$'| (|tptp.'fun_app$t'| (|tptp.'cblinfun_apply$a'| |tptp.'a$'|) (|tptp.'ket$a'| |tptp.'i$'|)) (|tptp.'plus$i'| (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b1$'|) (|tptp.'ket$b'| |tptp.'j$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b2$'|) (|tptp.'ket$b'| |tptp.'j$'|)))) (|tptp.'plus$u'| (|tptp.'tensor_ell2$'| (|tptp.'fun_app$t'| (|tptp.'cblinfun_apply$a'| |tptp.'a$'|) (|tptp.'ket$a'| |tptp.'i$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b1$'|) (|tptp.'ket$b'| |tptp.'j$'|))) (|tptp.'tensor_ell2$'| (|tptp.'fun_app$t'| (|tptp.'cblinfun_apply$a'| |tptp.'a$'|) (|tptp.'ket$a'| |tptp.'i$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b2$'|) (|tptp.'ket$b'| |tptp.'j$'|)))))) (not (not (= (|tptp.'tensor_ell2$'| (|tptp.'fun_app$t'| (|tptp.'cblinfun_apply$a'| |tptp.'a$'|) (|tptp.'ket$a'| |tptp.'i$'|)) (|tptp.'plus$i'| (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b1$'|) (|tptp.'ket$b'| |tptp.'j$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b2$'|) (|tptp.'ket$b'| |tptp.'j$'|)))) (|tptp.'plus$u'| (|tptp.'tensor_ell2$'| (|tptp.'fun_app$t'| (|tptp.'cblinfun_apply$a'| |tptp.'a$'|) (|tptp.'ket$a'| |tptp.'i$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b1$'|) (|tptp.'ket$b'| |tptp.'j$'|))) (|tptp.'tensor_ell2$'| (|tptp.'fun_app$t'| (|tptp.'cblinfun_apply$a'| |tptp.'a$'|) (|tptp.'ket$a'| |tptp.'i$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b2$'|) (|tptp.'ket$b'| |tptp.'j$'|))))))) false) :rule subproof :discharge (t26.a0 t26.a1))
% 1.07/1.27 (step t27 (cl (not (and (= (|tptp.'tensor_ell2$'| (|tptp.'fun_app$t'| (|tptp.'cblinfun_apply$a'| |tptp.'a$'|) (|tptp.'ket$a'| |tptp.'i$'|)) (|tptp.'plus$i'| (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b1$'|) (|tptp.'ket$b'| |tptp.'j$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b2$'|) (|tptp.'ket$b'| |tptp.'j$'|)))) (|tptp.'plus$u'| (|tptp.'tensor_ell2$'| (|tptp.'fun_app$t'| (|tptp.'cblinfun_apply$a'| |tptp.'a$'|) (|tptp.'ket$a'| |tptp.'i$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b1$'|) (|tptp.'ket$b'| |tptp.'j$'|))) (|tptp.'tensor_ell2$'| (|tptp.'fun_app$t'| (|tptp.'cblinfun_apply$a'| |tptp.'a$'|) (|tptp.'ket$a'| |tptp.'i$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b2$'|) (|tptp.'ket$b'| |tptp.'j$'|))))) (not (= (|tptp.'tensor_ell2$'| (|tptp.'fun_app$t'| (|tptp.'cblinfun_apply$a'| |tptp.'a$'|) (|tptp.'ket$a'| |tptp.'i$'|)) (|tptp.'plus$i'| (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b1$'|) (|tptp.'ket$b'| |tptp.'j$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b2$'|) (|tptp.'ket$b'| |tptp.'j$'|)))) (|tptp.'plus$u'| (|tptp.'tensor_ell2$'| (|tptp.'fun_app$t'| (|tptp.'cblinfun_apply$a'| |tptp.'a$'|) (|tptp.'ket$a'| |tptp.'i$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b1$'|) (|tptp.'ket$b'| |tptp.'j$'|))) (|tptp.'tensor_ell2$'| (|tptp.'fun_app$t'| (|tptp.'cblinfun_apply$a'| |tptp.'a$'|) (|tptp.'ket$a'| |tptp.'i$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b2$'|) (|tptp.'ket$b'| |tptp.'j$'|)))))))) (= (|tptp.'tensor_ell2$'| (|tptp.'fun_app$t'| (|tptp.'cblinfun_apply$a'| |tptp.'a$'|) (|tptp.'ket$a'| |tptp.'i$'|)) (|tptp.'plus$i'| (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b1$'|) (|tptp.'ket$b'| |tptp.'j$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b2$'|) (|tptp.'ket$b'| |tptp.'j$'|)))) (|tptp.'plus$u'| (|tptp.'tensor_ell2$'| (|tptp.'fun_app$t'| (|tptp.'cblinfun_apply$a'| |tptp.'a$'|) (|tptp.'ket$a'| |tptp.'i$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b1$'|) (|tptp.'ket$b'| |tptp.'j$'|))) (|tptp.'tensor_ell2$'| (|tptp.'fun_app$t'| (|tptp.'cblinfun_apply$a'| |tptp.'a$'|) (|tptp.'ket$a'| |tptp.'i$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b2$'|) (|tptp.'ket$b'| |tptp.'j$'|)))))) :rule and_pos)
% 1.07/1.27 (step t28 (cl (not (and (= (|tptp.'tensor_ell2$'| (|tptp.'fun_app$t'| (|tptp.'cblinfun_apply$a'| |tptp.'a$'|) (|tptp.'ket$a'| |tptp.'i$'|)) (|tptp.'plus$i'| (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b1$'|) (|tptp.'ket$b'| |tptp.'j$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b2$'|) (|tptp.'ket$b'| |tptp.'j$'|)))) (|tptp.'plus$u'| (|tptp.'tensor_ell2$'| (|tptp.'fun_app$t'| (|tptp.'cblinfun_apply$a'| |tptp.'a$'|) (|tptp.'ket$a'| |tptp.'i$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b1$'|) (|tptp.'ket$b'| |tptp.'j$'|))) (|tptp.'tensor_ell2$'| (|tptp.'fun_app$t'| (|tptp.'cblinfun_apply$a'| |tptp.'a$'|) (|tptp.'ket$a'| |tptp.'i$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b2$'|) (|tptp.'ket$b'| |tptp.'j$'|))))) (not (= (|tptp.'tensor_ell2$'| (|tptp.'fun_app$t'| (|tptp.'cblinfun_apply$a'| |tptp.'a$'|) (|tptp.'ket$a'| |tptp.'i$'|)) (|tptp.'plus$i'| (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b1$'|) (|tptp.'ket$b'| |tptp.'j$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b2$'|) (|tptp.'ket$b'| |tptp.'j$'|)))) (|tptp.'plus$u'| (|tptp.'tensor_ell2$'| (|tptp.'fun_app$t'| (|tptp.'cblinfun_apply$a'| |tptp.'a$'|) (|tptp.'ket$a'| |tptp.'i$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b1$'|) (|tptp.'ket$b'| |tptp.'j$'|))) (|tptp.'tensor_ell2$'| (|tptp.'fun_app$t'| (|tptp.'cblinfun_apply$a'| |tptp.'a$'|) (|tptp.'ket$a'| |tptp.'i$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b2$'|) (|tptp.'ket$b'| |tptp.'j$'|)))))))) (not (= (|tptp.'tensor_ell2$'| (|tptp.'fun_app$t'| (|tptp.'cblinfun_apply$a'| |tptp.'a$'|) (|tptp.'ket$a'| |tptp.'i$'|)) (|tptp.'plus$i'| (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b1$'|) (|tptp.'ket$b'| |tptp.'j$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b2$'|) (|tptp.'ket$b'| |tptp.'j$'|)))) (|tptp.'plus$u'| (|tptp.'tensor_ell2$'| (|tptp.'fun_app$t'| (|tptp.'cblinfun_apply$a'| |tptp.'a$'|) (|tptp.'ket$a'| |tptp.'i$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b1$'|) (|tptp.'ket$b'| |tptp.'j$'|))) (|tptp.'tensor_ell2$'| (|tptp.'fun_app$t'| (|tptp.'cblinfun_apply$a'| |tptp.'a$'|) (|tptp.'ket$a'| |tptp.'i$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b2$'|) (|tptp.'ket$b'| |tptp.'j$'|))))))) :rule and_pos)
% 1.07/1.27 (step t29 (cl false (not (and (= (|tptp.'tensor_ell2$'| (|tptp.'fun_app$t'| (|tptp.'cblinfun_apply$a'| |tptp.'a$'|) (|tptp.'ket$a'| |tptp.'i$'|)) (|tptp.'plus$i'| (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b1$'|) (|tptp.'ket$b'| |tptp.'j$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b2$'|) (|tptp.'ket$b'| |tptp.'j$'|)))) (|tptp.'plus$u'| (|tptp.'tensor_ell2$'| (|tptp.'fun_app$t'| (|tptp.'cblinfun_apply$a'| |tptp.'a$'|) (|tptp.'ket$a'| |tptp.'i$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b1$'|) (|tptp.'ket$b'| |tptp.'j$'|))) (|tptp.'tensor_ell2$'| (|tptp.'fun_app$t'| (|tptp.'cblinfun_apply$a'| |tptp.'a$'|) (|tptp.'ket$a'| |tptp.'i$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b2$'|) (|tptp.'ket$b'| |tptp.'j$'|))))) (not (= (|tptp.'tensor_ell2$'| (|tptp.'fun_app$t'| (|tptp.'cblinfun_apply$a'| |tptp.'a$'|) (|tptp.'ket$a'| |tptp.'i$'|)) (|tptp.'plus$i'| (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b1$'|) (|tptp.'ket$b'| |tptp.'j$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b2$'|) (|tptp.'ket$b'| |tptp.'j$'|)))) (|tptp.'plus$u'| (|tptp.'tensor_ell2$'| (|tptp.'fun_app$t'| (|tptp.'cblinfun_apply$a'| |tptp.'a$'|) (|tptp.'ket$a'| |tptp.'i$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b1$'|) (|tptp.'ket$b'| |tptp.'j$'|))) (|tptp.'tensor_ell2$'| (|tptp.'fun_app$t'| (|tptp.'cblinfun_apply$a'| |tptp.'a$'|) (|tptp.'ket$a'| |tptp.'i$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b2$'|) (|tptp.'ket$b'| |tptp.'j$'|)))))))) (not (and (= (|tptp.'tensor_ell2$'| (|tptp.'fun_app$t'| (|tptp.'cblinfun_apply$a'| |tptp.'a$'|) (|tptp.'ket$a'| |tptp.'i$'|)) (|tptp.'plus$i'| (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b1$'|) (|tptp.'ket$b'| |tptp.'j$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b2$'|) (|tptp.'ket$b'| |tptp.'j$'|)))) (|tptp.'plus$u'| (|tptp.'tensor_ell2$'| (|tptp.'fun_app$t'| (|tptp.'cblinfun_apply$a'| |tptp.'a$'|) (|tptp.'ket$a'| |tptp.'i$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b1$'|) (|tptp.'ket$b'| |tptp.'j$'|))) (|tptp.'tensor_ell2$'| (|tptp.'fun_app$t'| (|tptp.'cblinfun_apply$a'| |tptp.'a$'|) (|tptp.'ket$a'| |tptp.'i$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b2$'|) (|tptp.'ket$b'| |tptp.'j$'|))))) (not (= (|tptp.'tensor_ell2$'| (|tptp.'fun_app$t'| (|tptp.'cblinfun_apply$a'| |tptp.'a$'|) (|tptp.'ket$a'| |tptp.'i$'|)) (|tptp.'plus$i'| (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b1$'|) (|tptp.'ket$b'| |tptp.'j$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b2$'|) (|tptp.'ket$b'| |tptp.'j$'|)))) (|tptp.'plus$u'| (|tptp.'tensor_ell2$'| (|tptp.'fun_app$t'| (|tptp.'cblinfun_apply$a'| |tptp.'a$'|) (|tptp.'ket$a'| |tptp.'i$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b1$'|) (|tptp.'ket$b'| |tptp.'j$'|))) (|tptp.'tensor_ell2$'| (|tptp.'fun_app$t'| (|tptp.'cblinfun_apply$a'| |tptp.'a$'|) (|tptp.'ket$a'| |tptp.'i$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b2$'|) (|tptp.'ket$b'| |tptp.'j$'|))))))))) :rule resolution :premises (t26 t27 t28))
% 1.07/1.27 (step t30 (cl (not (and (= (|tptp.'tensor_ell2$'| (|tptp.'fun_app$t'| (|tptp.'cblinfun_apply$a'| |tptp.'a$'|) (|tptp.'ket$a'| |tptp.'i$'|)) (|tptp.'plus$i'| (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b1$'|) (|tptp.'ket$b'| |tptp.'j$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b2$'|) (|tptp.'ket$b'| |tptp.'j$'|)))) (|tptp.'plus$u'| (|tptp.'tensor_ell2$'| (|tptp.'fun_app$t'| (|tptp.'cblinfun_apply$a'| |tptp.'a$'|) (|tptp.'ket$a'| |tptp.'i$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b1$'|) (|tptp.'ket$b'| |tptp.'j$'|))) (|tptp.'tensor_ell2$'| (|tptp.'fun_app$t'| (|tptp.'cblinfun_apply$a'| |tptp.'a$'|) (|tptp.'ket$a'| |tptp.'i$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b2$'|) (|tptp.'ket$b'| |tptp.'j$'|))))) (not (= (|tptp.'tensor_ell2$'| (|tptp.'fun_app$t'| (|tptp.'cblinfun_apply$a'| |tptp.'a$'|) (|tptp.'ket$a'| |tptp.'i$'|)) (|tptp.'plus$i'| (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b1$'|) (|tptp.'ket$b'| |tptp.'j$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b2$'|) (|tptp.'ket$b'| |tptp.'j$'|)))) (|tptp.'plus$u'| (|tptp.'tensor_ell2$'| (|tptp.'fun_app$t'| (|tptp.'cblinfun_apply$a'| |tptp.'a$'|) (|tptp.'ket$a'| |tptp.'i$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b1$'|) (|tptp.'ket$b'| |tptp.'j$'|))) (|tptp.'tensor_ell2$'| (|tptp.'fun_app$t'| (|tptp.'cblinfun_apply$a'| |tptp.'a$'|) (|tptp.'ket$a'| |tptp.'i$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b2$'|) (|tptp.'ket$b'| |tptp.'j$'|)))))))) (not (and (= (|tptp.'tensor_ell2$'| (|tptp.'fun_app$t'| (|tptp.'cblinfun_apply$a'| |tptp.'a$'|) (|tptp.'ket$a'| |tptp.'i$'|)) (|tptp.'plus$i'| (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b1$'|) (|tptp.'ket$b'| |tptp.'j$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b2$'|) (|tptp.'ket$b'| |tptp.'j$'|)))) (|tptp.'plus$u'| (|tptp.'tensor_ell2$'| (|tptp.'fun_app$t'| (|tptp.'cblinfun_apply$a'| |tptp.'a$'|) (|tptp.'ket$a'| |tptp.'i$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b1$'|) (|tptp.'ket$b'| |tptp.'j$'|))) (|tptp.'tensor_ell2$'| (|tptp.'fun_app$t'| (|tptp.'cblinfun_apply$a'| |tptp.'a$'|) (|tptp.'ket$a'| |tptp.'i$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b2$'|) (|tptp.'ket$b'| |tptp.'j$'|))))) (not (= (|tptp.'tensor_ell2$'| (|tptp.'fun_app$t'| (|tptp.'cblinfun_apply$a'| |tptp.'a$'|) (|tptp.'ket$a'| |tptp.'i$'|)) (|tptp.'plus$i'| (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b1$'|) (|tptp.'ket$b'| |tptp.'j$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b2$'|) (|tptp.'ket$b'| |tptp.'j$'|)))) (|tptp.'plus$u'| (|tptp.'tensor_ell2$'| (|tptp.'fun_app$t'| (|tptp.'cblinfun_apply$a'| |tptp.'a$'|) (|tptp.'ket$a'| |tptp.'i$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b1$'|) (|tptp.'ket$b'| |tptp.'j$'|))) (|tptp.'tensor_ell2$'| (|tptp.'fun_app$t'| (|tptp.'cblinfun_apply$a'| |tptp.'a$'|) (|tptp.'ket$a'| |tptp.'i$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b2$'|) (|tptp.'ket$b'| |tptp.'j$'|)))))))) false) :rule reordering :premises (t29))
% 1.07/1.27 (step t31 (cl (not (and (= (|tptp.'tensor_ell2$'| (|tptp.'fun_app$t'| (|tptp.'cblinfun_apply$a'| |tptp.'a$'|) (|tptp.'ket$a'| |tptp.'i$'|)) (|tptp.'plus$i'| (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b1$'|) (|tptp.'ket$b'| |tptp.'j$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b2$'|) (|tptp.'ket$b'| |tptp.'j$'|)))) (|tptp.'plus$u'| (|tptp.'tensor_ell2$'| (|tptp.'fun_app$t'| (|tptp.'cblinfun_apply$a'| |tptp.'a$'|) (|tptp.'ket$a'| |tptp.'i$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b1$'|) (|tptp.'ket$b'| |tptp.'j$'|))) (|tptp.'tensor_ell2$'| (|tptp.'fun_app$t'| (|tptp.'cblinfun_apply$a'| |tptp.'a$'|) (|tptp.'ket$a'| |tptp.'i$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b2$'|) (|tptp.'ket$b'| |tptp.'j$'|))))) (not (= (|tptp.'tensor_ell2$'| (|tptp.'fun_app$t'| (|tptp.'cblinfun_apply$a'| |tptp.'a$'|) (|tptp.'ket$a'| |tptp.'i$'|)) (|tptp.'plus$i'| (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b1$'|) (|tptp.'ket$b'| |tptp.'j$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b2$'|) (|tptp.'ket$b'| |tptp.'j$'|)))) (|tptp.'plus$u'| (|tptp.'tensor_ell2$'| (|tptp.'fun_app$t'| (|tptp.'cblinfun_apply$a'| |tptp.'a$'|) (|tptp.'ket$a'| |tptp.'i$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b1$'|) (|tptp.'ket$b'| |tptp.'j$'|))) (|tptp.'tensor_ell2$'| (|tptp.'fun_app$t'| (|tptp.'cblinfun_apply$a'| |tptp.'a$'|) (|tptp.'ket$a'| |tptp.'i$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b2$'|) (|tptp.'ket$b'| |tptp.'j$'|)))))))) false) :rule contraction :premises (t30))
% 1.07/1.27 (step t32 (cl (=> (and (= (|tptp.'tensor_ell2$'| (|tptp.'fun_app$t'| (|tptp.'cblinfun_apply$a'| |tptp.'a$'|) (|tptp.'ket$a'| |tptp.'i$'|)) (|tptp.'plus$i'| (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b1$'|) (|tptp.'ket$b'| |tptp.'j$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b2$'|) (|tptp.'ket$b'| |tptp.'j$'|)))) (|tptp.'plus$u'| (|tptp.'tensor_ell2$'| (|tptp.'fun_app$t'| (|tptp.'cblinfun_apply$a'| |tptp.'a$'|) (|tptp.'ket$a'| |tptp.'i$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b1$'|) (|tptp.'ket$b'| |tptp.'j$'|))) (|tptp.'tensor_ell2$'| (|tptp.'fun_app$t'| (|tptp.'cblinfun_apply$a'| |tptp.'a$'|) (|tptp.'ket$a'| |tptp.'i$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b2$'|) (|tptp.'ket$b'| |tptp.'j$'|))))) (not (= (|tptp.'tensor_ell2$'| (|tptp.'fun_app$t'| (|tptp.'cblinfun_apply$a'| |tptp.'a$'|) (|tptp.'ket$a'| |tptp.'i$'|)) (|tptp.'plus$i'| (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b1$'|) (|tptp.'ket$b'| |tptp.'j$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b2$'|) (|tptp.'ket$b'| |tptp.'j$'|)))) (|tptp.'plus$u'| (|tptp.'tensor_ell2$'| (|tptp.'fun_app$t'| (|tptp.'cblinfun_apply$a'| |tptp.'a$'|) (|tptp.'ket$a'| |tptp.'i$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b1$'|) (|tptp.'ket$b'| |tptp.'j$'|))) (|tptp.'tensor_ell2$'| (|tptp.'fun_app$t'| (|tptp.'cblinfun_apply$a'| |tptp.'a$'|) (|tptp.'ket$a'| |tptp.'i$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b2$'|) (|tptp.'ket$b'| |tptp.'j$'|))))))) false) false) :rule resolution :premises (t25 t31))
% 1.07/1.27 (step t33 (cl (=> (and (= (|tptp.'tensor_ell2$'| (|tptp.'fun_app$t'| (|tptp.'cblinfun_apply$a'| |tptp.'a$'|) (|tptp.'ket$a'| |tptp.'i$'|)) (|tptp.'plus$i'| (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b1$'|) (|tptp.'ket$b'| |tptp.'j$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b2$'|) (|tptp.'ket$b'| |tptp.'j$'|)))) (|tptp.'plus$u'| (|tptp.'tensor_ell2$'| (|tptp.'fun_app$t'| (|tptp.'cblinfun_apply$a'| |tptp.'a$'|) (|tptp.'ket$a'| |tptp.'i$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b1$'|) (|tptp.'ket$b'| |tptp.'j$'|))) (|tptp.'tensor_ell2$'| (|tptp.'fun_app$t'| (|tptp.'cblinfun_apply$a'| |tptp.'a$'|) (|tptp.'ket$a'| |tptp.'i$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b2$'|) (|tptp.'ket$b'| |tptp.'j$'|))))) (not (= (|tptp.'tensor_ell2$'| (|tptp.'fun_app$t'| (|tptp.'cblinfun_apply$a'| |tptp.'a$'|) (|tptp.'ket$a'| |tptp.'i$'|)) (|tptp.'plus$i'| (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b1$'|) (|tptp.'ket$b'| |tptp.'j$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b2$'|) (|tptp.'ket$b'| |tptp.'j$'|)))) (|tptp.'plus$u'| (|tptp.'tensor_ell2$'| (|tptp.'fun_app$t'| (|tptp.'cblinfun_apply$a'| |tptp.'a$'|) (|tptp.'ket$a'| |tptp.'i$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b1$'|) (|tptp.'ket$b'| |tptp.'j$'|))) (|tptp.'tensor_ell2$'| (|tptp.'fun_app$t'| (|tptp.'cblinfun_apply$a'| |tptp.'a$'|) (|tptp.'ket$a'| |tptp.'i$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b2$'|) (|tptp.'ket$b'| |tptp.'j$'|))))))) false) (not false)) :rule implies_neg2)
% 1.07/1.27 (step t34 (cl (=> (and (= (|tptp.'tensor_ell2$'| (|tptp.'fun_app$t'| (|tptp.'cblinfun_apply$a'| |tptp.'a$'|) (|tptp.'ket$a'| |tptp.'i$'|)) (|tptp.'plus$i'| (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b1$'|) (|tptp.'ket$b'| |tptp.'j$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b2$'|) (|tptp.'ket$b'| |tptp.'j$'|)))) (|tptp.'plus$u'| (|tptp.'tensor_ell2$'| (|tptp.'fun_app$t'| (|tptp.'cblinfun_apply$a'| |tptp.'a$'|) (|tptp.'ket$a'| |tptp.'i$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b1$'|) (|tptp.'ket$b'| |tptp.'j$'|))) (|tptp.'tensor_ell2$'| (|tptp.'fun_app$t'| (|tptp.'cblinfun_apply$a'| |tptp.'a$'|) (|tptp.'ket$a'| |tptp.'i$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b2$'|) (|tptp.'ket$b'| |tptp.'j$'|))))) (not (= (|tptp.'tensor_ell2$'| (|tptp.'fun_app$t'| (|tptp.'cblinfun_apply$a'| |tptp.'a$'|) (|tptp.'ket$a'| |tptp.'i$'|)) (|tptp.'plus$i'| (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b1$'|) (|tptp.'ket$b'| |tptp.'j$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b2$'|) (|tptp.'ket$b'| |tptp.'j$'|)))) (|tptp.'plus$u'| (|tptp.'tensor_ell2$'| (|tptp.'fun_app$t'| (|tptp.'cblinfun_apply$a'| |tptp.'a$'|) (|tptp.'ket$a'| |tptp.'i$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b1$'|) (|tptp.'ket$b'| |tptp.'j$'|))) (|tptp.'tensor_ell2$'| (|tptp.'fun_app$t'| (|tptp.'cblinfun_apply$a'| |tptp.'a$'|) (|tptp.'ket$a'| |tptp.'i$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b2$'|) (|tptp.'ket$b'| |tptp.'j$'|))))))) false) (=> (and (= (|tptp.'tensor_ell2$'| (|tptp.'fun_app$t'| (|tptp.'cblinfun_apply$a'| |tptp.'a$'|) (|tptp.'ket$a'| |tptp.'i$'|)) (|tptp.'plus$i'| (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b1$'|) (|tptp.'ket$b'| |tptp.'j$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b2$'|) (|tptp.'ket$b'| |tptp.'j$'|)))) (|tptp.'plus$u'| (|tptp.'tensor_ell2$'| (|tptp.'fun_app$t'| (|tptp.'cblinfun_apply$a'| |tptp.'a$'|) (|tptp.'ket$a'| |tptp.'i$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b1$'|) (|tptp.'ket$b'| |tptp.'j$'|))) (|tptp.'tensor_ell2$'| (|tptp.'fun_app$t'| (|tptp.'cblinfun_apply$a'| |tptp.'a$'|) (|tptp.'ket$a'| |tptp.'i$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b2$'|) (|tptp.'ket$b'| |tptp.'j$'|))))) (not (= (|tptp.'tensor_ell2$'| (|tptp.'fun_app$t'| (|tptp.'cblinfun_apply$a'| |tptp.'a$'|) (|tptp.'ket$a'| |tptp.'i$'|)) (|tptp.'plus$i'| (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b1$'|) (|tptp.'ket$b'| |tptp.'j$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b2$'|) (|tptp.'ket$b'| |tptp.'j$'|)))) (|tptp.'plus$u'| (|tptp.'tensor_ell2$'| (|tptp.'fun_app$t'| (|tptp.'cblinfun_apply$a'| |tptp.'a$'|) (|tptp.'ket$a'| |tptp.'i$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b1$'|) (|tptp.'ket$b'| |tptp.'j$'|))) (|tptp.'tensor_ell2$'| (|tptp.'fun_app$t'| (|tptp.'cblinfun_apply$a'| |tptp.'a$'|) (|tptp.'ket$a'| |tptp.'i$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b2$'|) (|tptp.'ket$b'| |tptp.'j$'|))))))) false)) :rule resolution :premises (t32 t33))
% 1.07/1.27 (step t35 (cl (=> (and (= (|tptp.'tensor_ell2$'| (|tptp.'fun_app$t'| (|tptp.'cblinfun_apply$a'| |tptp.'a$'|) (|tptp.'ket$a'| |tptp.'i$'|)) (|tptp.'plus$i'| (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b1$'|) (|tptp.'ket$b'| |tptp.'j$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b2$'|) (|tptp.'ket$b'| |tptp.'j$'|)))) (|tptp.'plus$u'| (|tptp.'tensor_ell2$'| (|tptp.'fun_app$t'| (|tptp.'cblinfun_apply$a'| |tptp.'a$'|) (|tptp.'ket$a'| |tptp.'i$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b1$'|) (|tptp.'ket$b'| |tptp.'j$'|))) (|tptp.'tensor_ell2$'| (|tptp.'fun_app$t'| (|tptp.'cblinfun_apply$a'| |tptp.'a$'|) (|tptp.'ket$a'| |tptp.'i$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b2$'|) (|tptp.'ket$b'| |tptp.'j$'|))))) (not (= (|tptp.'tensor_ell2$'| (|tptp.'fun_app$t'| (|tptp.'cblinfun_apply$a'| |tptp.'a$'|) (|tptp.'ket$a'| |tptp.'i$'|)) (|tptp.'plus$i'| (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b1$'|) (|tptp.'ket$b'| |tptp.'j$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b2$'|) (|tptp.'ket$b'| |tptp.'j$'|)))) (|tptp.'plus$u'| (|tptp.'tensor_ell2$'| (|tptp.'fun_app$t'| (|tptp.'cblinfun_apply$a'| |tptp.'a$'|) (|tptp.'ket$a'| |tptp.'i$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b1$'|) (|tptp.'ket$b'| |tptp.'j$'|))) (|tptp.'tensor_ell2$'| (|tptp.'fun_app$t'| (|tptp.'cblinfun_apply$a'| |tptp.'a$'|) (|tptp.'ket$a'| |tptp.'i$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b2$'|) (|tptp.'ket$b'| |tptp.'j$'|))))))) false)) :rule contraction :premises (t34))
% 1.07/1.27 (step t36 (cl (= (=> (and (= (|tptp.'tensor_ell2$'| (|tptp.'fun_app$t'| (|tptp.'cblinfun_apply$a'| |tptp.'a$'|) (|tptp.'ket$a'| |tptp.'i$'|)) (|tptp.'plus$i'| (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b1$'|) (|tptp.'ket$b'| |tptp.'j$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b2$'|) (|tptp.'ket$b'| |tptp.'j$'|)))) (|tptp.'plus$u'| (|tptp.'tensor_ell2$'| (|tptp.'fun_app$t'| (|tptp.'cblinfun_apply$a'| |tptp.'a$'|) (|tptp.'ket$a'| |tptp.'i$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b1$'|) (|tptp.'ket$b'| |tptp.'j$'|))) (|tptp.'tensor_ell2$'| (|tptp.'fun_app$t'| (|tptp.'cblinfun_apply$a'| |tptp.'a$'|) (|tptp.'ket$a'| |tptp.'i$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b2$'|) (|tptp.'ket$b'| |tptp.'j$'|))))) (not (= (|tptp.'tensor_ell2$'| (|tptp.'fun_app$t'| (|tptp.'cblinfun_apply$a'| |tptp.'a$'|) (|tptp.'ket$a'| |tptp.'i$'|)) (|tptp.'plus$i'| (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b1$'|) (|tptp.'ket$b'| |tptp.'j$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b2$'|) (|tptp.'ket$b'| |tptp.'j$'|)))) (|tptp.'plus$u'| (|tptp.'tensor_ell2$'| (|tptp.'fun_app$t'| (|tptp.'cblinfun_apply$a'| |tptp.'a$'|) (|tptp.'ket$a'| |tptp.'i$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b1$'|) (|tptp.'ket$b'| |tptp.'j$'|))) (|tptp.'tensor_ell2$'| (|tptp.'fun_app$t'| (|tptp.'cblinfun_apply$a'| |tptp.'a$'|) (|tptp.'ket$a'| |tptp.'i$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b2$'|) (|tptp.'ket$b'| |tptp.'j$'|))))))) false) (not (and (= (|tptp.'tensor_ell2$'| (|tptp.'fun_app$t'| (|tptp.'cblinfun_apply$a'| |tptp.'a$'|) (|tptp.'ket$a'| |tptp.'i$'|)) (|tptp.'plus$i'| (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b1$'|) (|tptp.'ket$b'| |tptp.'j$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b2$'|) (|tptp.'ket$b'| |tptp.'j$'|)))) (|tptp.'plus$u'| (|tptp.'tensor_ell2$'| (|tptp.'fun_app$t'| (|tptp.'cblinfun_apply$a'| |tptp.'a$'|) (|tptp.'ket$a'| |tptp.'i$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b1$'|) (|tptp.'ket$b'| |tptp.'j$'|))) (|tptp.'tensor_ell2$'| (|tptp.'fun_app$t'| (|tptp.'cblinfun_apply$a'| |tptp.'a$'|) (|tptp.'ket$a'| |tptp.'i$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b2$'|) (|tptp.'ket$b'| |tptp.'j$'|))))) (not (= (|tptp.'tensor_ell2$'| (|tptp.'fun_app$t'| (|tptp.'cblinfun_apply$a'| |tptp.'a$'|) (|tptp.'ket$a'| |tptp.'i$'|)) (|tptp.'plus$i'| (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b1$'|) (|tptp.'ket$b'| |tptp.'j$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b2$'|) (|tptp.'ket$b'| |tptp.'j$'|)))) (|tptp.'plus$u'| (|tptp.'tensor_ell2$'| (|tptp.'fun_app$t'| (|tptp.'cblinfun_apply$a'| |tptp.'a$'|) (|tptp.'ket$a'| |tptp.'i$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b1$'|) (|tptp.'ket$b'| |tptp.'j$'|))) (|tptp.'tensor_ell2$'| (|tptp.'fun_app$t'| (|tptp.'cblinfun_apply$a'| |tptp.'a$'|) (|tptp.'ket$a'| |tptp.'i$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b2$'|) (|tptp.'ket$b'| |tptp.'j$'|)))))))))) :rule implies_simplify)
% 1.07/1.27 (step t37 (cl (not (=> (and (= (|tptp.'tensor_ell2$'| (|tptp.'fun_app$t'| (|tptp.'cblinfun_apply$a'| |tptp.'a$'|) (|tptp.'ket$a'| |tptp.'i$'|)) (|tptp.'plus$i'| (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b1$'|) (|tptp.'ket$b'| |tptp.'j$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b2$'|) (|tptp.'ket$b'| |tptp.'j$'|)))) (|tptp.'plus$u'| (|tptp.'tensor_ell2$'| (|tptp.'fun_app$t'| (|tptp.'cblinfun_apply$a'| |tptp.'a$'|) (|tptp.'ket$a'| |tptp.'i$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b1$'|) (|tptp.'ket$b'| |tptp.'j$'|))) (|tptp.'tensor_ell2$'| (|tptp.'fun_app$t'| (|tptp.'cblinfun_apply$a'| |tptp.'a$'|) (|tptp.'ket$a'| |tptp.'i$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b2$'|) (|tptp.'ket$b'| |tptp.'j$'|))))) (not (= (|tptp.'tensor_ell2$'| (|tptp.'fun_app$t'| (|tptp.'cblinfun_apply$a'| |tptp.'a$'|) (|tptp.'ket$a'| |tptp.'i$'|)) (|tptp.'plus$i'| (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b1$'|) (|tptp.'ket$b'| |tptp.'j$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b2$'|) (|tptp.'ket$b'| |tptp.'j$'|)))) (|tptp.'plus$u'| (|tptp.'tensor_ell2$'| (|tptp.'fun_app$t'| (|tptp.'cblinfun_apply$a'| |tptp.'a$'|) (|tptp.'ket$a'| |tptp.'i$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b1$'|) (|tptp.'ket$b'| |tptp.'j$'|))) (|tptp.'tensor_ell2$'| (|tptp.'fun_app$t'| (|tptp.'cblinfun_apply$a'| |tptp.'a$'|) (|tptp.'ket$a'| |tptp.'i$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b2$'|) (|tptp.'ket$b'| |tptp.'j$'|))))))) false)) (not (and (= (|tptp.'tensor_ell2$'| (|tptp.'fun_app$t'| (|tptp.'cblinfun_apply$a'| |tptp.'a$'|) (|tptp.'ket$a'| |tptp.'i$'|)) (|tptp.'plus$i'| (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b1$'|) (|tptp.'ket$b'| |tptp.'j$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b2$'|) (|tptp.'ket$b'| |tptp.'j$'|)))) (|tptp.'plus$u'| (|tptp.'tensor_ell2$'| (|tptp.'fun_app$t'| (|tptp.'cblinfun_apply$a'| |tptp.'a$'|) (|tptp.'ket$a'| |tptp.'i$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b1$'|) (|tptp.'ket$b'| |tptp.'j$'|))) (|tptp.'tensor_ell2$'| (|tptp.'fun_app$t'| (|tptp.'cblinfun_apply$a'| |tptp.'a$'|) (|tptp.'ket$a'| |tptp.'i$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b2$'|) (|tptp.'ket$b'| |tptp.'j$'|))))) (not (= (|tptp.'tensor_ell2$'| (|tptp.'fun_app$t'| (|tptp.'cblinfun_apply$a'| |tptp.'a$'|) (|tptp.'ket$a'| |tptp.'i$'|)) (|tptp.'plus$i'| (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b1$'|) (|tptp.'ket$b'| |tptp.'j$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b2$'|) (|tptp.'ket$b'| |tptp.'j$'|)))) (|tptp.'plus$u'| (|tptp.'tensor_ell2$'| (|tptp.'fun_app$t'| (|tptp.'cblinfun_apply$a'| |tptp.'a$'|) (|tptp.'ket$a'| |tptp.'i$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b1$'|) (|tptp.'ket$b'| |tptp.'j$'|))) (|tptp.'tensor_ell2$'| (|tptp.'fun_app$t'| (|tptp.'cblinfun_apply$a'| |tptp.'a$'|) (|tptp.'ket$a'| |tptp.'i$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b2$'|) (|tptp.'ket$b'| |tptp.'j$'|))))))))) :rule equiv1 :premises (t36))
% 1.07/1.27 (step t38 (cl (not (and (= (|tptp.'tensor_ell2$'| (|tptp.'fun_app$t'| (|tptp.'cblinfun_apply$a'| |tptp.'a$'|) (|tptp.'ket$a'| |tptp.'i$'|)) (|tptp.'plus$i'| (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b1$'|) (|tptp.'ket$b'| |tptp.'j$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b2$'|) (|tptp.'ket$b'| |tptp.'j$'|)))) (|tptp.'plus$u'| (|tptp.'tensor_ell2$'| (|tptp.'fun_app$t'| (|tptp.'cblinfun_apply$a'| |tptp.'a$'|) (|tptp.'ket$a'| |tptp.'i$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b1$'|) (|tptp.'ket$b'| |tptp.'j$'|))) (|tptp.'tensor_ell2$'| (|tptp.'fun_app$t'| (|tptp.'cblinfun_apply$a'| |tptp.'a$'|) (|tptp.'ket$a'| |tptp.'i$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b2$'|) (|tptp.'ket$b'| |tptp.'j$'|))))) (not (= (|tptp.'tensor_ell2$'| (|tptp.'fun_app$t'| (|tptp.'cblinfun_apply$a'| |tptp.'a$'|) (|tptp.'ket$a'| |tptp.'i$'|)) (|tptp.'plus$i'| (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b1$'|) (|tptp.'ket$b'| |tptp.'j$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b2$'|) (|tptp.'ket$b'| |tptp.'j$'|)))) (|tptp.'plus$u'| (|tptp.'tensor_ell2$'| (|tptp.'fun_app$t'| (|tptp.'cblinfun_apply$a'| |tptp.'a$'|) (|tptp.'ket$a'| |tptp.'i$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b1$'|) (|tptp.'ket$b'| |tptp.'j$'|))) (|tptp.'tensor_ell2$'| (|tptp.'fun_app$t'| (|tptp.'cblinfun_apply$a'| |tptp.'a$'|) (|tptp.'ket$a'| |tptp.'i$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b2$'|) (|tptp.'ket$b'| |tptp.'j$'|))))))))) :rule resolution :premises (t35 t37))
% 1.07/1.27 (step t39 (cl (= (and (= (|tptp.'tensor_ell2$'| (|tptp.'fun_app$t'| (|tptp.'cblinfun_apply$a'| |tptp.'a$'|) (|tptp.'ket$a'| |tptp.'i$'|)) (|tptp.'plus$i'| (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b1$'|) (|tptp.'ket$b'| |tptp.'j$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b2$'|) (|tptp.'ket$b'| |tptp.'j$'|)))) (|tptp.'plus$u'| (|tptp.'tensor_ell2$'| (|tptp.'fun_app$t'| (|tptp.'cblinfun_apply$a'| |tptp.'a$'|) (|tptp.'ket$a'| |tptp.'i$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b1$'|) (|tptp.'ket$b'| |tptp.'j$'|))) (|tptp.'tensor_ell2$'| (|tptp.'fun_app$t'| (|tptp.'cblinfun_apply$a'| |tptp.'a$'|) (|tptp.'ket$a'| |tptp.'i$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b2$'|) (|tptp.'ket$b'| |tptp.'j$'|))))) (not (= (|tptp.'tensor_ell2$'| (|tptp.'fun_app$t'| (|tptp.'cblinfun_apply$a'| |tptp.'a$'|) (|tptp.'ket$a'| |tptp.'i$'|)) (|tptp.'plus$i'| (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b1$'|) (|tptp.'ket$b'| |tptp.'j$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b2$'|) (|tptp.'ket$b'| |tptp.'j$'|)))) (|tptp.'plus$u'| (|tptp.'tensor_ell2$'| (|tptp.'fun_app$t'| (|tptp.'cblinfun_apply$a'| |tptp.'a$'|) (|tptp.'ket$a'| |tptp.'i$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b1$'|) (|tptp.'ket$b'| |tptp.'j$'|))) (|tptp.'tensor_ell2$'| (|tptp.'fun_app$t'| (|tptp.'cblinfun_apply$a'| |tptp.'a$'|) (|tptp.'ket$a'| |tptp.'i$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b2$'|) (|tptp.'ket$b'| |tptp.'j$'|))))))) false)) :rule resolution :premises (t24 t38))
% 1.07/1.27 (step t40 (cl (= (=> (and (not (= (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| (|tptp.'tensor_op$'| |tptp.'a$'| (|tptp.'fun_app$m'| (|tptp.'fun_app$n'| |tptp.'plus$a'| |tptp.'b1$'|) |tptp.'b2$'|))) (|tptp.'fun_app$o'| |tptp.'ket$'| (|tptp.'fun_app$p'| (|tptp.'fun_app$q'| |tptp.'pair$'| |tptp.'i$'|) |tptp.'j$'|))) (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| (|tptp.'fun_app$r'| (|tptp.'fun_app$s'| |tptp.'plus$b'| (|tptp.'tensor_op$'| |tptp.'a$'| |tptp.'b1$'|)) (|tptp.'tensor_op$'| |tptp.'a$'| |tptp.'b2$'|))) (|tptp.'fun_app$o'| |tptp.'ket$'| (|tptp.'fun_app$p'| (|tptp.'fun_app$q'| |tptp.'pair$'| |tptp.'i$'|) |tptp.'j$'|))))) (= (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| (|tptp.'tensor_op$'| |tptp.'a$'| (|tptp.'fun_app$m'| (|tptp.'fun_app$n'| |tptp.'plus$a'| |tptp.'b1$'|) |tptp.'b2$'|))) (|tptp.'fun_app$o'| |tptp.'ket$'| (|tptp.'fun_app$p'| (|tptp.'fun_app$q'| |tptp.'pair$'| |tptp.'i$'|) |tptp.'j$'|))) (|tptp.'tensor_ell2$'| (|tptp.'fun_app$t'| (|tptp.'cblinfun_apply$a'| |tptp.'a$'|) (|tptp.'ket$a'| |tptp.'i$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| (|tptp.'fun_app$m'| (|tptp.'fun_app$n'| |tptp.'plus$a'| |tptp.'b1$'|) |tptp.'b2$'|)) (|tptp.'ket$b'| |tptp.'j$'|)))) (= (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| (|tptp.'fun_app$r'| (|tptp.'fun_app$s'| |tptp.'plus$b'| (|tptp.'tensor_op$'| |tptp.'a$'| |tptp.'b1$'|)) (|tptp.'tensor_op$'| |tptp.'a$'| |tptp.'b2$'|))) (|tptp.'fun_app$o'| |tptp.'ket$'| (|tptp.'fun_app$p'| (|tptp.'fun_app$q'| |tptp.'pair$'| |tptp.'i$'|) |tptp.'j$'|))) (|tptp.'plus$u'| (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| (|tptp.'tensor_op$'| |tptp.'a$'| |tptp.'b1$'|)) (|tptp.'fun_app$o'| |tptp.'ket$'| (|tptp.'fun_app$p'| (|tptp.'fun_app$q'| |tptp.'pair$'| |tptp.'i$'|) |tptp.'j$'|))) (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| (|tptp.'tensor_op$'| |tptp.'a$'| |tptp.'b2$'|)) (|tptp.'fun_app$o'| |tptp.'ket$'| (|tptp.'fun_app$p'| (|tptp.'fun_app$q'| |tptp.'pair$'| |tptp.'i$'|) |tptp.'j$'|))))) (= (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| (|tptp.'tensor_op$'| |tptp.'a$'| |tptp.'b2$'|)) (|tptp.'fun_app$o'| |tptp.'ket$'| (|tptp.'fun_app$p'| (|tptp.'fun_app$q'| |tptp.'pair$'| |tptp.'i$'|) |tptp.'j$'|))) (|tptp.'tensor_ell2$'| (|tptp.'fun_app$t'| (|tptp.'cblinfun_apply$a'| |tptp.'a$'|) (|tptp.'ket$a'| |tptp.'i$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b2$'|) (|tptp.'ket$b'| |tptp.'j$'|)))) (= (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| (|tptp.'tensor_op$'| |tptp.'a$'| |tptp.'b1$'|)) (|tptp.'fun_app$o'| |tptp.'ket$'| (|tptp.'fun_app$p'| (|tptp.'fun_app$q'| |tptp.'pair$'| |tptp.'i$'|) |tptp.'j$'|))) (|tptp.'tensor_ell2$'| (|tptp.'fun_app$t'| (|tptp.'cblinfun_apply$a'| |tptp.'a$'|) (|tptp.'ket$a'| |tptp.'i$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b1$'|) (|tptp.'ket$b'| |tptp.'j$'|)))) (= (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| (|tptp.'fun_app$m'| (|tptp.'fun_app$n'| |tptp.'plus$a'| |tptp.'b1$'|) |tptp.'b2$'|)) (|tptp.'ket$b'| |tptp.'j$'|)) (|tptp.'plus$i'| (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b1$'|) (|tptp.'ket$b'| |tptp.'j$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b2$'|) (|tptp.'ket$b'| |tptp.'j$'|)))) (= (|tptp.'tensor_ell2$'| (|tptp.'fun_app$t'| (|tptp.'cblinfun_apply$a'| |tptp.'a$'|) (|tptp.'ket$a'| |tptp.'i$'|)) (|tptp.'plus$i'| (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b1$'|) (|tptp.'ket$b'| |tptp.'j$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b2$'|) (|tptp.'ket$b'| |tptp.'j$'|)))) (|tptp.'plus$u'| (|tptp.'tensor_ell2$'| (|tptp.'fun_app$t'| (|tptp.'cblinfun_apply$a'| |tptp.'a$'|) (|tptp.'ket$a'| |tptp.'i$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b1$'|) (|tptp.'ket$b'| |tptp.'j$'|))) (|tptp.'tensor_ell2$'| (|tptp.'fun_app$t'| (|tptp.'cblinfun_apply$a'| |tptp.'a$'|) (|tptp.'ket$a'| |tptp.'i$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b2$'|) (|tptp.'ket$b'| |tptp.'j$'|)))))) (and (= (|tptp.'tensor_ell2$'| (|tptp.'fun_app$t'| (|tptp.'cblinfun_apply$a'| |tptp.'a$'|) (|tptp.'ket$a'| |tptp.'i$'|)) (|tptp.'plus$i'| (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b1$'|) (|tptp.'ket$b'| |tptp.'j$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b2$'|) (|tptp.'ket$b'| |tptp.'j$'|)))) (|tptp.'plus$u'| (|tptp.'tensor_ell2$'| (|tptp.'fun_app$t'| (|tptp.'cblinfun_apply$a'| |tptp.'a$'|) (|tptp.'ket$a'| |tptp.'i$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b1$'|) (|tptp.'ket$b'| |tptp.'j$'|))) (|tptp.'tensor_ell2$'| (|tptp.'fun_app$t'| (|tptp.'cblinfun_apply$a'| |tptp.'a$'|) (|tptp.'ket$a'| |tptp.'i$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b2$'|) (|tptp.'ket$b'| |tptp.'j$'|))))) (not (= (|tptp.'tensor_ell2$'| (|tptp.'fun_app$t'| (|tptp.'cblinfun_apply$a'| |tptp.'a$'|) (|tptp.'ket$a'| |tptp.'i$'|)) (|tptp.'plus$i'| (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b1$'|) (|tptp.'ket$b'| |tptp.'j$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b2$'|) (|tptp.'ket$b'| |tptp.'j$'|)))) (|tptp.'plus$u'| (|tptp.'tensor_ell2$'| (|tptp.'fun_app$t'| (|tptp.'cblinfun_apply$a'| |tptp.'a$'|) (|tptp.'ket$a'| |tptp.'i$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b1$'|) (|tptp.'ket$b'| |tptp.'j$'|))) (|tptp.'tensor_ell2$'| (|tptp.'fun_app$t'| (|tptp.'cblinfun_apply$a'| |tptp.'a$'|) (|tptp.'ket$a'| |tptp.'i$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b2$'|) (|tptp.'ket$b'| |tptp.'j$'|)))))))) (=> (and (not (= (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| (|tptp.'tensor_op$'| |tptp.'a$'| (|tptp.'fun_app$m'| (|tptp.'fun_app$n'| |tptp.'plus$a'| |tptp.'b1$'|) |tptp.'b2$'|))) (|tptp.'fun_app$o'| |tptp.'ket$'| (|tptp.'fun_app$p'| (|tptp.'fun_app$q'| |tptp.'pair$'| |tptp.'i$'|) |tptp.'j$'|))) (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| (|tptp.'fun_app$r'| (|tptp.'fun_app$s'| |tptp.'plus$b'| (|tptp.'tensor_op$'| |tptp.'a$'| |tptp.'b1$'|)) (|tptp.'tensor_op$'| |tptp.'a$'| |tptp.'b2$'|))) (|tptp.'fun_app$o'| |tptp.'ket$'| (|tptp.'fun_app$p'| (|tptp.'fun_app$q'| |tptp.'pair$'| |tptp.'i$'|) |tptp.'j$'|))))) (= (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| (|tptp.'tensor_op$'| |tptp.'a$'| (|tptp.'fun_app$m'| (|tptp.'fun_app$n'| |tptp.'plus$a'| |tptp.'b1$'|) |tptp.'b2$'|))) (|tptp.'fun_app$o'| |tptp.'ket$'| (|tptp.'fun_app$p'| (|tptp.'fun_app$q'| |tptp.'pair$'| |tptp.'i$'|) |tptp.'j$'|))) (|tptp.'tensor_ell2$'| (|tptp.'fun_app$t'| (|tptp.'cblinfun_apply$a'| |tptp.'a$'|) (|tptp.'ket$a'| |tptp.'i$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| (|tptp.'fun_app$m'| (|tptp.'fun_app$n'| |tptp.'plus$a'| |tptp.'b1$'|) |tptp.'b2$'|)) (|tptp.'ket$b'| |tptp.'j$'|)))) (= (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| (|tptp.'fun_app$r'| (|tptp.'fun_app$s'| |tptp.'plus$b'| (|tptp.'tensor_op$'| |tptp.'a$'| |tptp.'b1$'|)) (|tptp.'tensor_op$'| |tptp.'a$'| |tptp.'b2$'|))) (|tptp.'fun_app$o'| |tptp.'ket$'| (|tptp.'fun_app$p'| (|tptp.'fun_app$q'| |tptp.'pair$'| |tptp.'i$'|) |tptp.'j$'|))) (|tptp.'plus$u'| (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| (|tptp.'tensor_op$'| |tptp.'a$'| |tptp.'b1$'|)) (|tptp.'fun_app$o'| |tptp.'ket$'| (|tptp.'fun_app$p'| (|tptp.'fun_app$q'| |tptp.'pair$'| |tptp.'i$'|) |tptp.'j$'|))) (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| (|tptp.'tensor_op$'| |tptp.'a$'| |tptp.'b2$'|)) (|tptp.'fun_app$o'| |tptp.'ket$'| (|tptp.'fun_app$p'| (|tptp.'fun_app$q'| |tptp.'pair$'| |tptp.'i$'|) |tptp.'j$'|))))) (= (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| (|tptp.'tensor_op$'| |tptp.'a$'| |tptp.'b2$'|)) (|tptp.'fun_app$o'| |tptp.'ket$'| (|tptp.'fun_app$p'| (|tptp.'fun_app$q'| |tptp.'pair$'| |tptp.'i$'|) |tptp.'j$'|))) (|tptp.'tensor_ell2$'| (|tptp.'fun_app$t'| (|tptp.'cblinfun_apply$a'| |tptp.'a$'|) (|tptp.'ket$a'| |tptp.'i$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b2$'|) (|tptp.'ket$b'| |tptp.'j$'|)))) (= (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| (|tptp.'tensor_op$'| |tptp.'a$'| |tptp.'b1$'|)) (|tptp.'fun_app$o'| |tptp.'ket$'| (|tptp.'fun_app$p'| (|tptp.'fun_app$q'| |tptp.'pair$'| |tptp.'i$'|) |tptp.'j$'|))) (|tptp.'tensor_ell2$'| (|tptp.'fun_app$t'| (|tptp.'cblinfun_apply$a'| |tptp.'a$'|) (|tptp.'ket$a'| |tptp.'i$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b1$'|) (|tptp.'ket$b'| |tptp.'j$'|)))) (= (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| (|tptp.'fun_app$m'| (|tptp.'fun_app$n'| |tptp.'plus$a'| |tptp.'b1$'|) |tptp.'b2$'|)) (|tptp.'ket$b'| |tptp.'j$'|)) (|tptp.'plus$i'| (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b1$'|) (|tptp.'ket$b'| |tptp.'j$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b2$'|) (|tptp.'ket$b'| |tptp.'j$'|)))) (= (|tptp.'tensor_ell2$'| (|tptp.'fun_app$t'| (|tptp.'cblinfun_apply$a'| |tptp.'a$'|) (|tptp.'ket$a'| |tptp.'i$'|)) (|tptp.'plus$i'| (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b1$'|) (|tptp.'ket$b'| |tptp.'j$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b2$'|) (|tptp.'ket$b'| |tptp.'j$'|)))) (|tptp.'plus$u'| (|tptp.'tensor_ell2$'| (|tptp.'fun_app$t'| (|tptp.'cblinfun_apply$a'| |tptp.'a$'|) (|tptp.'ket$a'| |tptp.'i$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b1$'|) (|tptp.'ket$b'| |tptp.'j$'|))) (|tptp.'tensor_ell2$'| (|tptp.'fun_app$t'| (|tptp.'cblinfun_apply$a'| |tptp.'a$'|) (|tptp.'ket$a'| |tptp.'i$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b2$'|) (|tptp.'ket$b'| |tptp.'j$'|)))))) false))) :rule cong :premises (t20 t39))
% 1.07/1.27 (step t41 (cl (= (=> (and (not (= (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| (|tptp.'tensor_op$'| |tptp.'a$'| (|tptp.'fun_app$m'| (|tptp.'fun_app$n'| |tptp.'plus$a'| |tptp.'b1$'|) |tptp.'b2$'|))) (|tptp.'fun_app$o'| |tptp.'ket$'| (|tptp.'fun_app$p'| (|tptp.'fun_app$q'| |tptp.'pair$'| |tptp.'i$'|) |tptp.'j$'|))) (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| (|tptp.'fun_app$r'| (|tptp.'fun_app$s'| |tptp.'plus$b'| (|tptp.'tensor_op$'| |tptp.'a$'| |tptp.'b1$'|)) (|tptp.'tensor_op$'| |tptp.'a$'| |tptp.'b2$'|))) (|tptp.'fun_app$o'| |tptp.'ket$'| (|tptp.'fun_app$p'| (|tptp.'fun_app$q'| |tptp.'pair$'| |tptp.'i$'|) |tptp.'j$'|))))) (= (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| (|tptp.'tensor_op$'| |tptp.'a$'| (|tptp.'fun_app$m'| (|tptp.'fun_app$n'| |tptp.'plus$a'| |tptp.'b1$'|) |tptp.'b2$'|))) (|tptp.'fun_app$o'| |tptp.'ket$'| (|tptp.'fun_app$p'| (|tptp.'fun_app$q'| |tptp.'pair$'| |tptp.'i$'|) |tptp.'j$'|))) (|tptp.'tensor_ell2$'| (|tptp.'fun_app$t'| (|tptp.'cblinfun_apply$a'| |tptp.'a$'|) (|tptp.'ket$a'| |tptp.'i$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| (|tptp.'fun_app$m'| (|tptp.'fun_app$n'| |tptp.'plus$a'| |tptp.'b1$'|) |tptp.'b2$'|)) (|tptp.'ket$b'| |tptp.'j$'|)))) (= (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| (|tptp.'fun_app$r'| (|tptp.'fun_app$s'| |tptp.'plus$b'| (|tptp.'tensor_op$'| |tptp.'a$'| |tptp.'b1$'|)) (|tptp.'tensor_op$'| |tptp.'a$'| |tptp.'b2$'|))) (|tptp.'fun_app$o'| |tptp.'ket$'| (|tptp.'fun_app$p'| (|tptp.'fun_app$q'| |tptp.'pair$'| |tptp.'i$'|) |tptp.'j$'|))) (|tptp.'plus$u'| (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| (|tptp.'tensor_op$'| |tptp.'a$'| |tptp.'b1$'|)) (|tptp.'fun_app$o'| |tptp.'ket$'| (|tptp.'fun_app$p'| (|tptp.'fun_app$q'| |tptp.'pair$'| |tptp.'i$'|) |tptp.'j$'|))) (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| (|tptp.'tensor_op$'| |tptp.'a$'| |tptp.'b2$'|)) (|tptp.'fun_app$o'| |tptp.'ket$'| (|tptp.'fun_app$p'| (|tptp.'fun_app$q'| |tptp.'pair$'| |tptp.'i$'|) |tptp.'j$'|))))) (= (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| (|tptp.'tensor_op$'| |tptp.'a$'| |tptp.'b2$'|)) (|tptp.'fun_app$o'| |tptp.'ket$'| (|tptp.'fun_app$p'| (|tptp.'fun_app$q'| |tptp.'pair$'| |tptp.'i$'|) |tptp.'j$'|))) (|tptp.'tensor_ell2$'| (|tptp.'fun_app$t'| (|tptp.'cblinfun_apply$a'| |tptp.'a$'|) (|tptp.'ket$a'| |tptp.'i$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b2$'|) (|tptp.'ket$b'| |tptp.'j$'|)))) (= (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| (|tptp.'tensor_op$'| |tptp.'a$'| |tptp.'b1$'|)) (|tptp.'fun_app$o'| |tptp.'ket$'| (|tptp.'fun_app$p'| (|tptp.'fun_app$q'| |tptp.'pair$'| |tptp.'i$'|) |tptp.'j$'|))) (|tptp.'tensor_ell2$'| (|tptp.'fun_app$t'| (|tptp.'cblinfun_apply$a'| |tptp.'a$'|) (|tptp.'ket$a'| |tptp.'i$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b1$'|) (|tptp.'ket$b'| |tptp.'j$'|)))) (= (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| (|tptp.'fun_app$m'| (|tptp.'fun_app$n'| |tptp.'plus$a'| |tptp.'b1$'|) |tptp.'b2$'|)) (|tptp.'ket$b'| |tptp.'j$'|)) (|tptp.'plus$i'| (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b1$'|) (|tptp.'ket$b'| |tptp.'j$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b2$'|) (|tptp.'ket$b'| |tptp.'j$'|)))) (= (|tptp.'tensor_ell2$'| (|tptp.'fun_app$t'| (|tptp.'cblinfun_apply$a'| |tptp.'a$'|) (|tptp.'ket$a'| |tptp.'i$'|)) (|tptp.'plus$i'| (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b1$'|) (|tptp.'ket$b'| |tptp.'j$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b2$'|) (|tptp.'ket$b'| |tptp.'j$'|)))) (|tptp.'plus$u'| (|tptp.'tensor_ell2$'| (|tptp.'fun_app$t'| (|tptp.'cblinfun_apply$a'| |tptp.'a$'|) (|tptp.'ket$a'| |tptp.'i$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b1$'|) (|tptp.'ket$b'| |tptp.'j$'|))) (|tptp.'tensor_ell2$'| (|tptp.'fun_app$t'| (|tptp.'cblinfun_apply$a'| |tptp.'a$'|) (|tptp.'ket$a'| |tptp.'i$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b2$'|) (|tptp.'ket$b'| |tptp.'j$'|)))))) false) (not (and (not (= (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| (|tptp.'tensor_op$'| |tptp.'a$'| (|tptp.'fun_app$m'| (|tptp.'fun_app$n'| |tptp.'plus$a'| |tptp.'b1$'|) |tptp.'b2$'|))) (|tptp.'fun_app$o'| |tptp.'ket$'| (|tptp.'fun_app$p'| (|tptp.'fun_app$q'| |tptp.'pair$'| |tptp.'i$'|) |tptp.'j$'|))) (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| (|tptp.'fun_app$r'| (|tptp.'fun_app$s'| |tptp.'plus$b'| (|tptp.'tensor_op$'| |tptp.'a$'| |tptp.'b1$'|)) (|tptp.'tensor_op$'| |tptp.'a$'| |tptp.'b2$'|))) (|tptp.'fun_app$o'| |tptp.'ket$'| (|tptp.'fun_app$p'| (|tptp.'fun_app$q'| |tptp.'pair$'| |tptp.'i$'|) |tptp.'j$'|))))) (= (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| (|tptp.'tensor_op$'| |tptp.'a$'| (|tptp.'fun_app$m'| (|tptp.'fun_app$n'| |tptp.'plus$a'| |tptp.'b1$'|) |tptp.'b2$'|))) (|tptp.'fun_app$o'| |tptp.'ket$'| (|tptp.'fun_app$p'| (|tptp.'fun_app$q'| |tptp.'pair$'| |tptp.'i$'|) |tptp.'j$'|))) (|tptp.'tensor_ell2$'| (|tptp.'fun_app$t'| (|tptp.'cblinfun_apply$a'| |tptp.'a$'|) (|tptp.'ket$a'| |tptp.'i$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| (|tptp.'fun_app$m'| (|tptp.'fun_app$n'| |tptp.'plus$a'| |tptp.'b1$'|) |tptp.'b2$'|)) (|tptp.'ket$b'| |tptp.'j$'|)))) (= (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| (|tptp.'fun_app$r'| (|tptp.'fun_app$s'| |tptp.'plus$b'| (|tptp.'tensor_op$'| |tptp.'a$'| |tptp.'b1$'|)) (|tptp.'tensor_op$'| |tptp.'a$'| |tptp.'b2$'|))) (|tptp.'fun_app$o'| |tptp.'ket$'| (|tptp.'fun_app$p'| (|tptp.'fun_app$q'| |tptp.'pair$'| |tptp.'i$'|) |tptp.'j$'|))) (|tptp.'plus$u'| (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| (|tptp.'tensor_op$'| |tptp.'a$'| |tptp.'b1$'|)) (|tptp.'fun_app$o'| |tptp.'ket$'| (|tptp.'fun_app$p'| (|tptp.'fun_app$q'| |tptp.'pair$'| |tptp.'i$'|) |tptp.'j$'|))) (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| (|tptp.'tensor_op$'| |tptp.'a$'| |tptp.'b2$'|)) (|tptp.'fun_app$o'| |tptp.'ket$'| (|tptp.'fun_app$p'| (|tptp.'fun_app$q'| |tptp.'pair$'| |tptp.'i$'|) |tptp.'j$'|))))) (= (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| (|tptp.'tensor_op$'| |tptp.'a$'| |tptp.'b2$'|)) (|tptp.'fun_app$o'| |tptp.'ket$'| (|tptp.'fun_app$p'| (|tptp.'fun_app$q'| |tptp.'pair$'| |tptp.'i$'|) |tptp.'j$'|))) (|tptp.'tensor_ell2$'| (|tptp.'fun_app$t'| (|tptp.'cblinfun_apply$a'| |tptp.'a$'|) (|tptp.'ket$a'| |tptp.'i$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b2$'|) (|tptp.'ket$b'| |tptp.'j$'|)))) (= (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| (|tptp.'tensor_op$'| |tptp.'a$'| |tptp.'b1$'|)) (|tptp.'fun_app$o'| |tptp.'ket$'| (|tptp.'fun_app$p'| (|tptp.'fun_app$q'| |tptp.'pair$'| |tptp.'i$'|) |tptp.'j$'|))) (|tptp.'tensor_ell2$'| (|tptp.'fun_app$t'| (|tptp.'cblinfun_apply$a'| |tptp.'a$'|) (|tptp.'ket$a'| |tptp.'i$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b1$'|) (|tptp.'ket$b'| |tptp.'j$'|)))) (= (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| (|tptp.'fun_app$m'| (|tptp.'fun_app$n'| |tptp.'plus$a'| |tptp.'b1$'|) |tptp.'b2$'|)) (|tptp.'ket$b'| |tptp.'j$'|)) (|tptp.'plus$i'| (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b1$'|) (|tptp.'ket$b'| |tptp.'j$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b2$'|) (|tptp.'ket$b'| |tptp.'j$'|)))) (= (|tptp.'tensor_ell2$'| (|tptp.'fun_app$t'| (|tptp.'cblinfun_apply$a'| |tptp.'a$'|) (|tptp.'ket$a'| |tptp.'i$'|)) (|tptp.'plus$i'| (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b1$'|) (|tptp.'ket$b'| |tptp.'j$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b2$'|) (|tptp.'ket$b'| |tptp.'j$'|)))) (|tptp.'plus$u'| (|tptp.'tensor_ell2$'| (|tptp.'fun_app$t'| (|tptp.'cblinfun_apply$a'| |tptp.'a$'|) (|tptp.'ket$a'| |tptp.'i$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b1$'|) (|tptp.'ket$b'| |tptp.'j$'|))) (|tptp.'tensor_ell2$'| (|tptp.'fun_app$t'| (|tptp.'cblinfun_apply$a'| |tptp.'a$'|) (|tptp.'ket$a'| |tptp.'i$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b2$'|) (|tptp.'ket$b'| |tptp.'j$'|))))))))) :rule all_simplify)
% 1.07/1.27 (step t42 (cl (= (=> (and (not (= (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| (|tptp.'tensor_op$'| |tptp.'a$'| (|tptp.'fun_app$m'| (|tptp.'fun_app$n'| |tptp.'plus$a'| |tptp.'b1$'|) |tptp.'b2$'|))) (|tptp.'fun_app$o'| |tptp.'ket$'| (|tptp.'fun_app$p'| (|tptp.'fun_app$q'| |tptp.'pair$'| |tptp.'i$'|) |tptp.'j$'|))) (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| (|tptp.'fun_app$r'| (|tptp.'fun_app$s'| |tptp.'plus$b'| (|tptp.'tensor_op$'| |tptp.'a$'| |tptp.'b1$'|)) (|tptp.'tensor_op$'| |tptp.'a$'| |tptp.'b2$'|))) (|tptp.'fun_app$o'| |tptp.'ket$'| (|tptp.'fun_app$p'| (|tptp.'fun_app$q'| |tptp.'pair$'| |tptp.'i$'|) |tptp.'j$'|))))) (= (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| (|tptp.'tensor_op$'| |tptp.'a$'| (|tptp.'fun_app$m'| (|tptp.'fun_app$n'| |tptp.'plus$a'| |tptp.'b1$'|) |tptp.'b2$'|))) (|tptp.'fun_app$o'| |tptp.'ket$'| (|tptp.'fun_app$p'| (|tptp.'fun_app$q'| |tptp.'pair$'| |tptp.'i$'|) |tptp.'j$'|))) (|tptp.'tensor_ell2$'| (|tptp.'fun_app$t'| (|tptp.'cblinfun_apply$a'| |tptp.'a$'|) (|tptp.'ket$a'| |tptp.'i$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| (|tptp.'fun_app$m'| (|tptp.'fun_app$n'| |tptp.'plus$a'| |tptp.'b1$'|) |tptp.'b2$'|)) (|tptp.'ket$b'| |tptp.'j$'|)))) (= (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| (|tptp.'fun_app$r'| (|tptp.'fun_app$s'| |tptp.'plus$b'| (|tptp.'tensor_op$'| |tptp.'a$'| |tptp.'b1$'|)) (|tptp.'tensor_op$'| |tptp.'a$'| |tptp.'b2$'|))) (|tptp.'fun_app$o'| |tptp.'ket$'| (|tptp.'fun_app$p'| (|tptp.'fun_app$q'| |tptp.'pair$'| |tptp.'i$'|) |tptp.'j$'|))) (|tptp.'plus$u'| (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| (|tptp.'tensor_op$'| |tptp.'a$'| |tptp.'b1$'|)) (|tptp.'fun_app$o'| |tptp.'ket$'| (|tptp.'fun_app$p'| (|tptp.'fun_app$q'| |tptp.'pair$'| |tptp.'i$'|) |tptp.'j$'|))) (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| (|tptp.'tensor_op$'| |tptp.'a$'| |tptp.'b2$'|)) (|tptp.'fun_app$o'| |tptp.'ket$'| (|tptp.'fun_app$p'| (|tptp.'fun_app$q'| |tptp.'pair$'| |tptp.'i$'|) |tptp.'j$'|))))) (= (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| (|tptp.'tensor_op$'| |tptp.'a$'| |tptp.'b2$'|)) (|tptp.'fun_app$o'| |tptp.'ket$'| (|tptp.'fun_app$p'| (|tptp.'fun_app$q'| |tptp.'pair$'| |tptp.'i$'|) |tptp.'j$'|))) (|tptp.'tensor_ell2$'| (|tptp.'fun_app$t'| (|tptp.'cblinfun_apply$a'| |tptp.'a$'|) (|tptp.'ket$a'| |tptp.'i$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b2$'|) (|tptp.'ket$b'| |tptp.'j$'|)))) (= (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| (|tptp.'tensor_op$'| |tptp.'a$'| |tptp.'b1$'|)) (|tptp.'fun_app$o'| |tptp.'ket$'| (|tptp.'fun_app$p'| (|tptp.'fun_app$q'| |tptp.'pair$'| |tptp.'i$'|) |tptp.'j$'|))) (|tptp.'tensor_ell2$'| (|tptp.'fun_app$t'| (|tptp.'cblinfun_apply$a'| |tptp.'a$'|) (|tptp.'ket$a'| |tptp.'i$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b1$'|) (|tptp.'ket$b'| |tptp.'j$'|)))) (= (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| (|tptp.'fun_app$m'| (|tptp.'fun_app$n'| |tptp.'plus$a'| |tptp.'b1$'|) |tptp.'b2$'|)) (|tptp.'ket$b'| |tptp.'j$'|)) (|tptp.'plus$i'| (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b1$'|) (|tptp.'ket$b'| |tptp.'j$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b2$'|) (|tptp.'ket$b'| |tptp.'j$'|)))) (= (|tptp.'tensor_ell2$'| (|tptp.'fun_app$t'| (|tptp.'cblinfun_apply$a'| |tptp.'a$'|) (|tptp.'ket$a'| |tptp.'i$'|)) (|tptp.'plus$i'| (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b1$'|) (|tptp.'ket$b'| |tptp.'j$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b2$'|) (|tptp.'ket$b'| |tptp.'j$'|)))) (|tptp.'plus$u'| (|tptp.'tensor_ell2$'| (|tptp.'fun_app$t'| (|tptp.'cblinfun_apply$a'| |tptp.'a$'|) (|tptp.'ket$a'| |tptp.'i$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b1$'|) (|tptp.'ket$b'| |tptp.'j$'|))) (|tptp.'tensor_ell2$'| (|tptp.'fun_app$t'| (|tptp.'cblinfun_apply$a'| |tptp.'a$'|) (|tptp.'ket$a'| |tptp.'i$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b2$'|) (|tptp.'ket$b'| |tptp.'j$'|)))))) (and (= (|tptp.'tensor_ell2$'| (|tptp.'fun_app$t'| (|tptp.'cblinfun_apply$a'| |tptp.'a$'|) (|tptp.'ket$a'| |tptp.'i$'|)) (|tptp.'plus$i'| (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b1$'|) (|tptp.'ket$b'| |tptp.'j$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b2$'|) (|tptp.'ket$b'| |tptp.'j$'|)))) (|tptp.'plus$u'| (|tptp.'tensor_ell2$'| (|tptp.'fun_app$t'| (|tptp.'cblinfun_apply$a'| |tptp.'a$'|) (|tptp.'ket$a'| |tptp.'i$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b1$'|) (|tptp.'ket$b'| |tptp.'j$'|))) (|tptp.'tensor_ell2$'| (|tptp.'fun_app$t'| (|tptp.'cblinfun_apply$a'| |tptp.'a$'|) (|tptp.'ket$a'| |tptp.'i$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b2$'|) (|tptp.'ket$b'| |tptp.'j$'|))))) (not (= (|tptp.'tensor_ell2$'| (|tptp.'fun_app$t'| (|tptp.'cblinfun_apply$a'| |tptp.'a$'|) (|tptp.'ket$a'| |tptp.'i$'|)) (|tptp.'plus$i'| (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b1$'|) (|tptp.'ket$b'| |tptp.'j$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b2$'|) (|tptp.'ket$b'| |tptp.'j$'|)))) (|tptp.'plus$u'| (|tptp.'tensor_ell2$'| (|tptp.'fun_app$t'| (|tptp.'cblinfun_apply$a'| |tptp.'a$'|) (|tptp.'ket$a'| |tptp.'i$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b1$'|) (|tptp.'ket$b'| |tptp.'j$'|))) (|tptp.'tensor_ell2$'| (|tptp.'fun_app$t'| (|tptp.'cblinfun_apply$a'| |tptp.'a$'|) (|tptp.'ket$a'| |tptp.'i$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b2$'|) (|tptp.'ket$b'| |tptp.'j$'|)))))))) (not (and (not (= (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| (|tptp.'tensor_op$'| |tptp.'a$'| (|tptp.'fun_app$m'| (|tptp.'fun_app$n'| |tptp.'plus$a'| |tptp.'b1$'|) |tptp.'b2$'|))) (|tptp.'fun_app$o'| |tptp.'ket$'| (|tptp.'fun_app$p'| (|tptp.'fun_app$q'| |tptp.'pair$'| |tptp.'i$'|) |tptp.'j$'|))) (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| (|tptp.'fun_app$r'| (|tptp.'fun_app$s'| |tptp.'plus$b'| (|tptp.'tensor_op$'| |tptp.'a$'| |tptp.'b1$'|)) (|tptp.'tensor_op$'| |tptp.'a$'| |tptp.'b2$'|))) (|tptp.'fun_app$o'| |tptp.'ket$'| (|tptp.'fun_app$p'| (|tptp.'fun_app$q'| |tptp.'pair$'| |tptp.'i$'|) |tptp.'j$'|))))) (= (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| (|tptp.'tensor_op$'| |tptp.'a$'| (|tptp.'fun_app$m'| (|tptp.'fun_app$n'| |tptp.'plus$a'| |tptp.'b1$'|) |tptp.'b2$'|))) (|tptp.'fun_app$o'| |tptp.'ket$'| (|tptp.'fun_app$p'| (|tptp.'fun_app$q'| |tptp.'pair$'| |tptp.'i$'|) |tptp.'j$'|))) (|tptp.'tensor_ell2$'| (|tptp.'fun_app$t'| (|tptp.'cblinfun_apply$a'| |tptp.'a$'|) (|tptp.'ket$a'| |tptp.'i$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| (|tptp.'fun_app$m'| (|tptp.'fun_app$n'| |tptp.'plus$a'| |tptp.'b1$'|) |tptp.'b2$'|)) (|tptp.'ket$b'| |tptp.'j$'|)))) (= (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| (|tptp.'fun_app$r'| (|tptp.'fun_app$s'| |tptp.'plus$b'| (|tptp.'tensor_op$'| |tptp.'a$'| |tptp.'b1$'|)) (|tptp.'tensor_op$'| |tptp.'a$'| |tptp.'b2$'|))) (|tptp.'fun_app$o'| |tptp.'ket$'| (|tptp.'fun_app$p'| (|tptp.'fun_app$q'| |tptp.'pair$'| |tptp.'i$'|) |tptp.'j$'|))) (|tptp.'plus$u'| (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| (|tptp.'tensor_op$'| |tptp.'a$'| |tptp.'b1$'|)) (|tptp.'fun_app$o'| |tptp.'ket$'| (|tptp.'fun_app$p'| (|tptp.'fun_app$q'| |tptp.'pair$'| |tptp.'i$'|) |tptp.'j$'|))) (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| (|tptp.'tensor_op$'| |tptp.'a$'| |tptp.'b2$'|)) (|tptp.'fun_app$o'| |tptp.'ket$'| (|tptp.'fun_app$p'| (|tptp.'fun_app$q'| |tptp.'pair$'| |tptp.'i$'|) |tptp.'j$'|))))) (= (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| (|tptp.'tensor_op$'| |tptp.'a$'| |tptp.'b2$'|)) (|tptp.'fun_app$o'| |tptp.'ket$'| (|tptp.'fun_app$p'| (|tptp.'fun_app$q'| |tptp.'pair$'| |tptp.'i$'|) |tptp.'j$'|))) (|tptp.'tensor_ell2$'| (|tptp.'fun_app$t'| (|tptp.'cblinfun_apply$a'| |tptp.'a$'|) (|tptp.'ket$a'| |tptp.'i$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b2$'|) (|tptp.'ket$b'| |tptp.'j$'|)))) (= (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| (|tptp.'tensor_op$'| |tptp.'a$'| |tptp.'b1$'|)) (|tptp.'fun_app$o'| |tptp.'ket$'| (|tptp.'fun_app$p'| (|tptp.'fun_app$q'| |tptp.'pair$'| |tptp.'i$'|) |tptp.'j$'|))) (|tptp.'tensor_ell2$'| (|tptp.'fun_app$t'| (|tptp.'cblinfun_apply$a'| |tptp.'a$'|) (|tptp.'ket$a'| |tptp.'i$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b1$'|) (|tptp.'ket$b'| |tptp.'j$'|)))) (= (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| (|tptp.'fun_app$m'| (|tptp.'fun_app$n'| |tptp.'plus$a'| |tptp.'b1$'|) |tptp.'b2$'|)) (|tptp.'ket$b'| |tptp.'j$'|)) (|tptp.'plus$i'| (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b1$'|) (|tptp.'ket$b'| |tptp.'j$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b2$'|) (|tptp.'ket$b'| |tptp.'j$'|)))) (= (|tptp.'tensor_ell2$'| (|tptp.'fun_app$t'| (|tptp.'cblinfun_apply$a'| |tptp.'a$'|) (|tptp.'ket$a'| |tptp.'i$'|)) (|tptp.'plus$i'| (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b1$'|) (|tptp.'ket$b'| |tptp.'j$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b2$'|) (|tptp.'ket$b'| |tptp.'j$'|)))) (|tptp.'plus$u'| (|tptp.'tensor_ell2$'| (|tptp.'fun_app$t'| (|tptp.'cblinfun_apply$a'| |tptp.'a$'|) (|tptp.'ket$a'| |tptp.'i$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b1$'|) (|tptp.'ket$b'| |tptp.'j$'|))) (|tptp.'tensor_ell2$'| (|tptp.'fun_app$t'| (|tptp.'cblinfun_apply$a'| |tptp.'a$'|) (|tptp.'ket$a'| |tptp.'i$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b2$'|) (|tptp.'ket$b'| |tptp.'j$'|))))))))) :rule trans :premises (t40 t41))
% 1.07/1.27 (step t43 (cl (=> (and (not (= (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| (|tptp.'tensor_op$'| |tptp.'a$'| (|tptp.'fun_app$m'| (|tptp.'fun_app$n'| |tptp.'plus$a'| |tptp.'b1$'|) |tptp.'b2$'|))) (|tptp.'fun_app$o'| |tptp.'ket$'| (|tptp.'fun_app$p'| (|tptp.'fun_app$q'| |tptp.'pair$'| |tptp.'i$'|) |tptp.'j$'|))) (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| (|tptp.'fun_app$r'| (|tptp.'fun_app$s'| |tptp.'plus$b'| (|tptp.'tensor_op$'| |tptp.'a$'| |tptp.'b1$'|)) (|tptp.'tensor_op$'| |tptp.'a$'| |tptp.'b2$'|))) (|tptp.'fun_app$o'| |tptp.'ket$'| (|tptp.'fun_app$p'| (|tptp.'fun_app$q'| |tptp.'pair$'| |tptp.'i$'|) |tptp.'j$'|))))) (= (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| (|tptp.'tensor_op$'| |tptp.'a$'| (|tptp.'fun_app$m'| (|tptp.'fun_app$n'| |tptp.'plus$a'| |tptp.'b1$'|) |tptp.'b2$'|))) (|tptp.'fun_app$o'| |tptp.'ket$'| (|tptp.'fun_app$p'| (|tptp.'fun_app$q'| |tptp.'pair$'| |tptp.'i$'|) |tptp.'j$'|))) (|tptp.'tensor_ell2$'| (|tptp.'fun_app$t'| (|tptp.'cblinfun_apply$a'| |tptp.'a$'|) (|tptp.'ket$a'| |tptp.'i$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| (|tptp.'fun_app$m'| (|tptp.'fun_app$n'| |tptp.'plus$a'| |tptp.'b1$'|) |tptp.'b2$'|)) (|tptp.'ket$b'| |tptp.'j$'|)))) (= (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| (|tptp.'fun_app$r'| (|tptp.'fun_app$s'| |tptp.'plus$b'| (|tptp.'tensor_op$'| |tptp.'a$'| |tptp.'b1$'|)) (|tptp.'tensor_op$'| |tptp.'a$'| |tptp.'b2$'|))) (|tptp.'fun_app$o'| |tptp.'ket$'| (|tptp.'fun_app$p'| (|tptp.'fun_app$q'| |tptp.'pair$'| |tptp.'i$'|) |tptp.'j$'|))) (|tptp.'plus$u'| (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| (|tptp.'tensor_op$'| |tptp.'a$'| |tptp.'b1$'|)) (|tptp.'fun_app$o'| |tptp.'ket$'| (|tptp.'fun_app$p'| (|tptp.'fun_app$q'| |tptp.'pair$'| |tptp.'i$'|) |tptp.'j$'|))) (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| (|tptp.'tensor_op$'| |tptp.'a$'| |tptp.'b2$'|)) (|tptp.'fun_app$o'| |tptp.'ket$'| (|tptp.'fun_app$p'| (|tptp.'fun_app$q'| |tptp.'pair$'| |tptp.'i$'|) |tptp.'j$'|))))) (= (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| (|tptp.'tensor_op$'| |tptp.'a$'| |tptp.'b2$'|)) (|tptp.'fun_app$o'| |tptp.'ket$'| (|tptp.'fun_app$p'| (|tptp.'fun_app$q'| |tptp.'pair$'| |tptp.'i$'|) |tptp.'j$'|))) (|tptp.'tensor_ell2$'| (|tptp.'fun_app$t'| (|tptp.'cblinfun_apply$a'| |tptp.'a$'|) (|tptp.'ket$a'| |tptp.'i$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b2$'|) (|tptp.'ket$b'| |tptp.'j$'|)))) (= (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| (|tptp.'tensor_op$'| |tptp.'a$'| |tptp.'b1$'|)) (|tptp.'fun_app$o'| |tptp.'ket$'| (|tptp.'fun_app$p'| (|tptp.'fun_app$q'| |tptp.'pair$'| |tptp.'i$'|) |tptp.'j$'|))) (|tptp.'tensor_ell2$'| (|tptp.'fun_app$t'| (|tptp.'cblinfun_apply$a'| |tptp.'a$'|) (|tptp.'ket$a'| |tptp.'i$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b1$'|) (|tptp.'ket$b'| |tptp.'j$'|)))) (= (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| (|tptp.'fun_app$m'| (|tptp.'fun_app$n'| |tptp.'plus$a'| |tptp.'b1$'|) |tptp.'b2$'|)) (|tptp.'ket$b'| |tptp.'j$'|)) (|tptp.'plus$i'| (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b1$'|) (|tptp.'ket$b'| |tptp.'j$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b2$'|) (|tptp.'ket$b'| |tptp.'j$'|)))) (= (|tptp.'tensor_ell2$'| (|tptp.'fun_app$t'| (|tptp.'cblinfun_apply$a'| |tptp.'a$'|) (|tptp.'ket$a'| |tptp.'i$'|)) (|tptp.'plus$i'| (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b1$'|) (|tptp.'ket$b'| |tptp.'j$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b2$'|) (|tptp.'ket$b'| |tptp.'j$'|)))) (|tptp.'plus$u'| (|tptp.'tensor_ell2$'| (|tptp.'fun_app$t'| (|tptp.'cblinfun_apply$a'| |tptp.'a$'|) (|tptp.'ket$a'| |tptp.'i$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b1$'|) (|tptp.'ket$b'| |tptp.'j$'|))) (|tptp.'tensor_ell2$'| (|tptp.'fun_app$t'| (|tptp.'cblinfun_apply$a'| |tptp.'a$'|) (|tptp.'ket$a'| |tptp.'i$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b2$'|) (|tptp.'ket$b'| |tptp.'j$'|)))))) (and (= (|tptp.'tensor_ell2$'| (|tptp.'fun_app$t'| (|tptp.'cblinfun_apply$a'| |tptp.'a$'|) (|tptp.'ket$a'| |tptp.'i$'|)) (|tptp.'plus$i'| (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b1$'|) (|tptp.'ket$b'| |tptp.'j$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b2$'|) (|tptp.'ket$b'| |tptp.'j$'|)))) (|tptp.'plus$u'| (|tptp.'tensor_ell2$'| (|tptp.'fun_app$t'| (|tptp.'cblinfun_apply$a'| |tptp.'a$'|) (|tptp.'ket$a'| |tptp.'i$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b1$'|) (|tptp.'ket$b'| |tptp.'j$'|))) (|tptp.'tensor_ell2$'| (|tptp.'fun_app$t'| (|tptp.'cblinfun_apply$a'| |tptp.'a$'|) (|tptp.'ket$a'| |tptp.'i$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b2$'|) (|tptp.'ket$b'| |tptp.'j$'|))))) (not (= (|tptp.'tensor_ell2$'| (|tptp.'fun_app$t'| (|tptp.'cblinfun_apply$a'| |tptp.'a$'|) (|tptp.'ket$a'| |tptp.'i$'|)) (|tptp.'plus$i'| (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b1$'|) (|tptp.'ket$b'| |tptp.'j$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b2$'|) (|tptp.'ket$b'| |tptp.'j$'|)))) (|tptp.'plus$u'| (|tptp.'tensor_ell2$'| (|tptp.'fun_app$t'| (|tptp.'cblinfun_apply$a'| |tptp.'a$'|) (|tptp.'ket$a'| |tptp.'i$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b1$'|) (|tptp.'ket$b'| |tptp.'j$'|))) (|tptp.'tensor_ell2$'| (|tptp.'fun_app$t'| (|tptp.'cblinfun_apply$a'| |tptp.'a$'|) (|tptp.'ket$a'| |tptp.'i$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b2$'|) (|tptp.'ket$b'| |tptp.'j$'|)))))))) (and (not (= (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| (|tptp.'tensor_op$'| |tptp.'a$'| (|tptp.'fun_app$m'| (|tptp.'fun_app$n'| |tptp.'plus$a'| |tptp.'b1$'|) |tptp.'b2$'|))) (|tptp.'fun_app$o'| |tptp.'ket$'| (|tptp.'fun_app$p'| (|tptp.'fun_app$q'| |tptp.'pair$'| |tptp.'i$'|) |tptp.'j$'|))) (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| (|tptp.'fun_app$r'| (|tptp.'fun_app$s'| |tptp.'plus$b'| (|tptp.'tensor_op$'| |tptp.'a$'| |tptp.'b1$'|)) (|tptp.'tensor_op$'| |tptp.'a$'| |tptp.'b2$'|))) (|tptp.'fun_app$o'| |tptp.'ket$'| (|tptp.'fun_app$p'| (|tptp.'fun_app$q'| |tptp.'pair$'| |tptp.'i$'|) |tptp.'j$'|))))) (= (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| (|tptp.'tensor_op$'| |tptp.'a$'| (|tptp.'fun_app$m'| (|tptp.'fun_app$n'| |tptp.'plus$a'| |tptp.'b1$'|) |tptp.'b2$'|))) (|tptp.'fun_app$o'| |tptp.'ket$'| (|tptp.'fun_app$p'| (|tptp.'fun_app$q'| |tptp.'pair$'| |tptp.'i$'|) |tptp.'j$'|))) (|tptp.'tensor_ell2$'| (|tptp.'fun_app$t'| (|tptp.'cblinfun_apply$a'| |tptp.'a$'|) (|tptp.'ket$a'| |tptp.'i$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| (|tptp.'fun_app$m'| (|tptp.'fun_app$n'| |tptp.'plus$a'| |tptp.'b1$'|) |tptp.'b2$'|)) (|tptp.'ket$b'| |tptp.'j$'|)))) (= (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| (|tptp.'fun_app$r'| (|tptp.'fun_app$s'| |tptp.'plus$b'| (|tptp.'tensor_op$'| |tptp.'a$'| |tptp.'b1$'|)) (|tptp.'tensor_op$'| |tptp.'a$'| |tptp.'b2$'|))) (|tptp.'fun_app$o'| |tptp.'ket$'| (|tptp.'fun_app$p'| (|tptp.'fun_app$q'| |tptp.'pair$'| |tptp.'i$'|) |tptp.'j$'|))) (|tptp.'plus$u'| (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| (|tptp.'tensor_op$'| |tptp.'a$'| |tptp.'b1$'|)) (|tptp.'fun_app$o'| |tptp.'ket$'| (|tptp.'fun_app$p'| (|tptp.'fun_app$q'| |tptp.'pair$'| |tptp.'i$'|) |tptp.'j$'|))) (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| (|tptp.'tensor_op$'| |tptp.'a$'| |tptp.'b2$'|)) (|tptp.'fun_app$o'| |tptp.'ket$'| (|tptp.'fun_app$p'| (|tptp.'fun_app$q'| |tptp.'pair$'| |tptp.'i$'|) |tptp.'j$'|))))) (= (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| (|tptp.'tensor_op$'| |tptp.'a$'| |tptp.'b2$'|)) (|tptp.'fun_app$o'| |tptp.'ket$'| (|tptp.'fun_app$p'| (|tptp.'fun_app$q'| |tptp.'pair$'| |tptp.'i$'|) |tptp.'j$'|))) (|tptp.'tensor_ell2$'| (|tptp.'fun_app$t'| (|tptp.'cblinfun_apply$a'| |tptp.'a$'|) (|tptp.'ket$a'| |tptp.'i$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b2$'|) (|tptp.'ket$b'| |tptp.'j$'|)))) (= (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| (|tptp.'tensor_op$'| |tptp.'a$'| |tptp.'b1$'|)) (|tptp.'fun_app$o'| |tptp.'ket$'| (|tptp.'fun_app$p'| (|tptp.'fun_app$q'| |tptp.'pair$'| |tptp.'i$'|) |tptp.'j$'|))) (|tptp.'tensor_ell2$'| (|tptp.'fun_app$t'| (|tptp.'cblinfun_apply$a'| |tptp.'a$'|) (|tptp.'ket$a'| |tptp.'i$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b1$'|) (|tptp.'ket$b'| |tptp.'j$'|)))) (= (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| (|tptp.'fun_app$m'| (|tptp.'fun_app$n'| |tptp.'plus$a'| |tptp.'b1$'|) |tptp.'b2$'|)) (|tptp.'ket$b'| |tptp.'j$'|)) (|tptp.'plus$i'| (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b1$'|) (|tptp.'ket$b'| |tptp.'j$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b2$'|) (|tptp.'ket$b'| |tptp.'j$'|)))) (= (|tptp.'tensor_ell2$'| (|tptp.'fun_app$t'| (|tptp.'cblinfun_apply$a'| |tptp.'a$'|) (|tptp.'ket$a'| |tptp.'i$'|)) (|tptp.'plus$i'| (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b1$'|) (|tptp.'ket$b'| |tptp.'j$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b2$'|) (|tptp.'ket$b'| |tptp.'j$'|)))) (|tptp.'plus$u'| (|tptp.'tensor_ell2$'| (|tptp.'fun_app$t'| (|tptp.'cblinfun_apply$a'| |tptp.'a$'|) (|tptp.'ket$a'| |tptp.'i$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b1$'|) (|tptp.'ket$b'| |tptp.'j$'|))) (|tptp.'tensor_ell2$'| (|tptp.'fun_app$t'| (|tptp.'cblinfun_apply$a'| |tptp.'a$'|) (|tptp.'ket$a'| |tptp.'i$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b2$'|) (|tptp.'ket$b'| |tptp.'j$'|))))))) :rule implies_neg1)
% 1.07/1.27 (anchor :step t44)
% 1.07/1.27 (assume t44.a0 (not (= (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| (|tptp.'tensor_op$'| |tptp.'a$'| (|tptp.'fun_app$m'| (|tptp.'fun_app$n'| |tptp.'plus$a'| |tptp.'b1$'|) |tptp.'b2$'|))) (|tptp.'fun_app$o'| |tptp.'ket$'| (|tptp.'fun_app$p'| (|tptp.'fun_app$q'| |tptp.'pair$'| |tptp.'i$'|) |tptp.'j$'|))) (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| (|tptp.'fun_app$r'| (|tptp.'fun_app$s'| |tptp.'plus$b'| (|tptp.'tensor_op$'| |tptp.'a$'| |tptp.'b1$'|)) (|tptp.'tensor_op$'| |tptp.'a$'| |tptp.'b2$'|))) (|tptp.'fun_app$o'| |tptp.'ket$'| (|tptp.'fun_app$p'| (|tptp.'fun_app$q'| |tptp.'pair$'| |tptp.'i$'|) |tptp.'j$'|))))))
% 1.07/1.27 (assume t44.a1 (= (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| (|tptp.'tensor_op$'| |tptp.'a$'| (|tptp.'fun_app$m'| (|tptp.'fun_app$n'| |tptp.'plus$a'| |tptp.'b1$'|) |tptp.'b2$'|))) (|tptp.'fun_app$o'| |tptp.'ket$'| (|tptp.'fun_app$p'| (|tptp.'fun_app$q'| |tptp.'pair$'| |tptp.'i$'|) |tptp.'j$'|))) (|tptp.'tensor_ell2$'| (|tptp.'fun_app$t'| (|tptp.'cblinfun_apply$a'| |tptp.'a$'|) (|tptp.'ket$a'| |tptp.'i$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| (|tptp.'fun_app$m'| (|tptp.'fun_app$n'| |tptp.'plus$a'| |tptp.'b1$'|) |tptp.'b2$'|)) (|tptp.'ket$b'| |tptp.'j$'|)))))
% 1.07/1.27 (assume t44.a2 (= (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| (|tptp.'fun_app$r'| (|tptp.'fun_app$s'| |tptp.'plus$b'| (|tptp.'tensor_op$'| |tptp.'a$'| |tptp.'b1$'|)) (|tptp.'tensor_op$'| |tptp.'a$'| |tptp.'b2$'|))) (|tptp.'fun_app$o'| |tptp.'ket$'| (|tptp.'fun_app$p'| (|tptp.'fun_app$q'| |tptp.'pair$'| |tptp.'i$'|) |tptp.'j$'|))) (|tptp.'plus$u'| (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| (|tptp.'tensor_op$'| |tptp.'a$'| |tptp.'b1$'|)) (|tptp.'fun_app$o'| |tptp.'ket$'| (|tptp.'fun_app$p'| (|tptp.'fun_app$q'| |tptp.'pair$'| |tptp.'i$'|) |tptp.'j$'|))) (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| (|tptp.'tensor_op$'| |tptp.'a$'| |tptp.'b2$'|)) (|tptp.'fun_app$o'| |tptp.'ket$'| (|tptp.'fun_app$p'| (|tptp.'fun_app$q'| |tptp.'pair$'| |tptp.'i$'|) |tptp.'j$'|))))))
% 1.07/1.27 (assume t44.a3 (= (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| (|tptp.'tensor_op$'| |tptp.'a$'| |tptp.'b2$'|)) (|tptp.'fun_app$o'| |tptp.'ket$'| (|tptp.'fun_app$p'| (|tptp.'fun_app$q'| |tptp.'pair$'| |tptp.'i$'|) |tptp.'j$'|))) (|tptp.'tensor_ell2$'| (|tptp.'fun_app$t'| (|tptp.'cblinfun_apply$a'| |tptp.'a$'|) (|tptp.'ket$a'| |tptp.'i$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b2$'|) (|tptp.'ket$b'| |tptp.'j$'|)))))
% 1.07/1.27 (assume t44.a4 (= (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| (|tptp.'tensor_op$'| |tptp.'a$'| |tptp.'b1$'|)) (|tptp.'fun_app$o'| |tptp.'ket$'| (|tptp.'fun_app$p'| (|tptp.'fun_app$q'| |tptp.'pair$'| |tptp.'i$'|) |tptp.'j$'|))) (|tptp.'tensor_ell2$'| (|tptp.'fun_app$t'| (|tptp.'cblinfun_apply$a'| |tptp.'a$'|) (|tptp.'ket$a'| |tptp.'i$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b1$'|) (|tptp.'ket$b'| |tptp.'j$'|)))))
% 1.07/1.27 (assume t44.a5 (= (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| (|tptp.'fun_app$m'| (|tptp.'fun_app$n'| |tptp.'plus$a'| |tptp.'b1$'|) |tptp.'b2$'|)) (|tptp.'ket$b'| |tptp.'j$'|)) (|tptp.'plus$i'| (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b1$'|) (|tptp.'ket$b'| |tptp.'j$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b2$'|) (|tptp.'ket$b'| |tptp.'j$'|)))))
% 1.07/1.27 (assume t44.a6 (= (|tptp.'tensor_ell2$'| (|tptp.'fun_app$t'| (|tptp.'cblinfun_apply$a'| |tptp.'a$'|) (|tptp.'ket$a'| |tptp.'i$'|)) (|tptp.'plus$i'| (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b1$'|) (|tptp.'ket$b'| |tptp.'j$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b2$'|) (|tptp.'ket$b'| |tptp.'j$'|)))) (|tptp.'plus$u'| (|tptp.'tensor_ell2$'| (|tptp.'fun_app$t'| (|tptp.'cblinfun_apply$a'| |tptp.'a$'|) (|tptp.'ket$a'| |tptp.'i$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b1$'|) (|tptp.'ket$b'| |tptp.'j$'|))) (|tptp.'tensor_ell2$'| (|tptp.'fun_app$t'| (|tptp.'cblinfun_apply$a'| |tptp.'a$'|) (|tptp.'ket$a'| |tptp.'i$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b2$'|) (|tptp.'ket$b'| |tptp.'j$'|))))))
% 1.07/1.27 (step t44.t1 (cl (and (= (|tptp.'tensor_ell2$'| (|tptp.'fun_app$t'| (|tptp.'cblinfun_apply$a'| |tptp.'a$'|) (|tptp.'ket$a'| |tptp.'i$'|)) (|tptp.'plus$i'| (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b1$'|) (|tptp.'ket$b'| |tptp.'j$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b2$'|) (|tptp.'ket$b'| |tptp.'j$'|)))) (|tptp.'plus$u'| (|tptp.'tensor_ell2$'| (|tptp.'fun_app$t'| (|tptp.'cblinfun_apply$a'| |tptp.'a$'|) (|tptp.'ket$a'| |tptp.'i$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b1$'|) (|tptp.'ket$b'| |tptp.'j$'|))) (|tptp.'tensor_ell2$'| (|tptp.'fun_app$t'| (|tptp.'cblinfun_apply$a'| |tptp.'a$'|) (|tptp.'ket$a'| |tptp.'i$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b2$'|) (|tptp.'ket$b'| |tptp.'j$'|))))) (not (= (|tptp.'tensor_ell2$'| (|tptp.'fun_app$t'| (|tptp.'cblinfun_apply$a'| |tptp.'a$'|) (|tptp.'ket$a'| |tptp.'i$'|)) (|tptp.'plus$i'| (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b1$'|) (|tptp.'ket$b'| |tptp.'j$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b2$'|) (|tptp.'ket$b'| |tptp.'j$'|)))) (|tptp.'plus$u'| (|tptp.'tensor_ell2$'| (|tptp.'fun_app$t'| (|tptp.'cblinfun_apply$a'| |tptp.'a$'|) (|tptp.'ket$a'| |tptp.'i$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b1$'|) (|tptp.'ket$b'| |tptp.'j$'|))) (|tptp.'tensor_ell2$'| (|tptp.'fun_app$t'| (|tptp.'cblinfun_apply$a'| |tptp.'a$'|) (|tptp.'ket$a'| |tptp.'i$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b2$'|) (|tptp.'ket$b'| |tptp.'j$'|))))))) (not (= (|tptp.'tensor_ell2$'| (|tptp.'fun_app$t'| (|tptp.'cblinfun_apply$a'| |tptp.'a$'|) (|tptp.'ket$a'| |tptp.'i$'|)) (|tptp.'plus$i'| (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b1$'|) (|tptp.'ket$b'| |tptp.'j$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b2$'|) (|tptp.'ket$b'| |tptp.'j$'|)))) (|tptp.'plus$u'| (|tptp.'tensor_ell2$'| (|tptp.'fun_app$t'| (|tptp.'cblinfun_apply$a'| |tptp.'a$'|) (|tptp.'ket$a'| |tptp.'i$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b1$'|) (|tptp.'ket$b'| |tptp.'j$'|))) (|tptp.'tensor_ell2$'| (|tptp.'fun_app$t'| (|tptp.'cblinfun_apply$a'| |tptp.'a$'|) (|tptp.'ket$a'| |tptp.'i$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b2$'|) (|tptp.'ket$b'| |tptp.'j$'|)))))) (not (not (= (|tptp.'tensor_ell2$'| (|tptp.'fun_app$t'| (|tptp.'cblinfun_apply$a'| |tptp.'a$'|) (|tptp.'ket$a'| |tptp.'i$'|)) (|tptp.'plus$i'| (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b1$'|) (|tptp.'ket$b'| |tptp.'j$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b2$'|) (|tptp.'ket$b'| |tptp.'j$'|)))) (|tptp.'plus$u'| (|tptp.'tensor_ell2$'| (|tptp.'fun_app$t'| (|tptp.'cblinfun_apply$a'| |tptp.'a$'|) (|tptp.'ket$a'| |tptp.'i$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b1$'|) (|tptp.'ket$b'| |tptp.'j$'|))) (|tptp.'tensor_ell2$'| (|tptp.'fun_app$t'| (|tptp.'cblinfun_apply$a'| |tptp.'a$'|) (|tptp.'ket$a'| |tptp.'i$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b2$'|) (|tptp.'ket$b'| |tptp.'j$'|)))))))) :rule and_neg)
% 1.07/1.27 (step t44.t2 (cl (=> (and (= (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| (|tptp.'tensor_op$'| |tptp.'a$'| (|tptp.'fun_app$m'| (|tptp.'fun_app$n'| |tptp.'plus$a'| |tptp.'b1$'|) |tptp.'b2$'|))) (|tptp.'fun_app$o'| |tptp.'ket$'| (|tptp.'fun_app$p'| (|tptp.'fun_app$q'| |tptp.'pair$'| |tptp.'i$'|) |tptp.'j$'|))) (|tptp.'tensor_ell2$'| (|tptp.'fun_app$t'| (|tptp.'cblinfun_apply$a'| |tptp.'a$'|) (|tptp.'ket$a'| |tptp.'i$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| (|tptp.'fun_app$m'| (|tptp.'fun_app$n'| |tptp.'plus$a'| |tptp.'b1$'|) |tptp.'b2$'|)) (|tptp.'ket$b'| |tptp.'j$'|)))) (= (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| (|tptp.'fun_app$m'| (|tptp.'fun_app$n'| |tptp.'plus$a'| |tptp.'b1$'|) |tptp.'b2$'|)) (|tptp.'ket$b'| |tptp.'j$'|)) (|tptp.'plus$i'| (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b1$'|) (|tptp.'ket$b'| |tptp.'j$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b2$'|) (|tptp.'ket$b'| |tptp.'j$'|)))) (not (= (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| (|tptp.'tensor_op$'| |tptp.'a$'| (|tptp.'fun_app$m'| (|tptp.'fun_app$n'| |tptp.'plus$a'| |tptp.'b1$'|) |tptp.'b2$'|))) (|tptp.'fun_app$o'| |tptp.'ket$'| (|tptp.'fun_app$p'| (|tptp.'fun_app$q'| |tptp.'pair$'| |tptp.'i$'|) |tptp.'j$'|))) (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| (|tptp.'fun_app$r'| (|tptp.'fun_app$s'| |tptp.'plus$b'| (|tptp.'tensor_op$'| |tptp.'a$'| |tptp.'b1$'|)) (|tptp.'tensor_op$'| |tptp.'a$'| |tptp.'b2$'|))) (|tptp.'fun_app$o'| |tptp.'ket$'| (|tptp.'fun_app$p'| (|tptp.'fun_app$q'| |tptp.'pair$'| |tptp.'i$'|) |tptp.'j$'|))))) (= (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| (|tptp.'fun_app$r'| (|tptp.'fun_app$s'| |tptp.'plus$b'| (|tptp.'tensor_op$'| |tptp.'a$'| |tptp.'b1$'|)) (|tptp.'tensor_op$'| |tptp.'a$'| |tptp.'b2$'|))) (|tptp.'fun_app$o'| |tptp.'ket$'| (|tptp.'fun_app$p'| (|tptp.'fun_app$q'| |tptp.'pair$'| |tptp.'i$'|) |tptp.'j$'|))) (|tptp.'plus$u'| (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| (|tptp.'tensor_op$'| |tptp.'a$'| |tptp.'b1$'|)) (|tptp.'fun_app$o'| |tptp.'ket$'| (|tptp.'fun_app$p'| (|tptp.'fun_app$q'| |tptp.'pair$'| |tptp.'i$'|) |tptp.'j$'|))) (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| (|tptp.'tensor_op$'| |tptp.'a$'| |tptp.'b2$'|)) (|tptp.'fun_app$o'| |tptp.'ket$'| (|tptp.'fun_app$p'| (|tptp.'fun_app$q'| |tptp.'pair$'| |tptp.'i$'|) |tptp.'j$'|))))) (= (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| (|tptp.'tensor_op$'| |tptp.'a$'| |tptp.'b1$'|)) (|tptp.'fun_app$o'| |tptp.'ket$'| (|tptp.'fun_app$p'| (|tptp.'fun_app$q'| |tptp.'pair$'| |tptp.'i$'|) |tptp.'j$'|))) (|tptp.'tensor_ell2$'| (|tptp.'fun_app$t'| (|tptp.'cblinfun_apply$a'| |tptp.'a$'|) (|tptp.'ket$a'| |tptp.'i$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b1$'|) (|tptp.'ket$b'| |tptp.'j$'|)))) (= (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| (|tptp.'tensor_op$'| |tptp.'a$'| |tptp.'b2$'|)) (|tptp.'fun_app$o'| |tptp.'ket$'| (|tptp.'fun_app$p'| (|tptp.'fun_app$q'| |tptp.'pair$'| |tptp.'i$'|) |tptp.'j$'|))) (|tptp.'tensor_ell2$'| (|tptp.'fun_app$t'| (|tptp.'cblinfun_apply$a'| |tptp.'a$'|) (|tptp.'ket$a'| |tptp.'i$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b2$'|) (|tptp.'ket$b'| |tptp.'j$'|))))) (not (= (|tptp.'tensor_ell2$'| (|tptp.'fun_app$t'| (|tptp.'cblinfun_apply$a'| |tptp.'a$'|) (|tptp.'ket$a'| |tptp.'i$'|)) (|tptp.'plus$i'| (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b1$'|) (|tptp.'ket$b'| |tptp.'j$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b2$'|) (|tptp.'ket$b'| |tptp.'j$'|)))) (|tptp.'plus$u'| (|tptp.'tensor_ell2$'| (|tptp.'fun_app$t'| (|tptp.'cblinfun_apply$a'| |tptp.'a$'|) (|tptp.'ket$a'| |tptp.'i$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b1$'|) (|tptp.'ket$b'| |tptp.'j$'|))) (|tptp.'tensor_ell2$'| (|tptp.'fun_app$t'| (|tptp.'cblinfun_apply$a'| |tptp.'a$'|) (|tptp.'ket$a'| |tptp.'i$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b2$'|) (|tptp.'ket$b'| |tptp.'j$'|))))))) (and (= (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| (|tptp.'tensor_op$'| |tptp.'a$'| (|tptp.'fun_app$m'| (|tptp.'fun_app$n'| |tptp.'plus$a'| |tptp.'b1$'|) |tptp.'b2$'|))) (|tptp.'fun_app$o'| |tptp.'ket$'| (|tptp.'fun_app$p'| (|tptp.'fun_app$q'| |tptp.'pair$'| |tptp.'i$'|) |tptp.'j$'|))) (|tptp.'tensor_ell2$'| (|tptp.'fun_app$t'| (|tptp.'cblinfun_apply$a'| |tptp.'a$'|) (|tptp.'ket$a'| |tptp.'i$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| (|tptp.'fun_app$m'| (|tptp.'fun_app$n'| |tptp.'plus$a'| |tptp.'b1$'|) |tptp.'b2$'|)) (|tptp.'ket$b'| |tptp.'j$'|)))) (= (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| (|tptp.'fun_app$m'| (|tptp.'fun_app$n'| |tptp.'plus$a'| |tptp.'b1$'|) |tptp.'b2$'|)) (|tptp.'ket$b'| |tptp.'j$'|)) (|tptp.'plus$i'| (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b1$'|) (|tptp.'ket$b'| |tptp.'j$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b2$'|) (|tptp.'ket$b'| |tptp.'j$'|)))) (not (= (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| (|tptp.'tensor_op$'| |tptp.'a$'| (|tptp.'fun_app$m'| (|tptp.'fun_app$n'| |tptp.'plus$a'| |tptp.'b1$'|) |tptp.'b2$'|))) (|tptp.'fun_app$o'| |tptp.'ket$'| (|tptp.'fun_app$p'| (|tptp.'fun_app$q'| |tptp.'pair$'| |tptp.'i$'|) |tptp.'j$'|))) (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| (|tptp.'fun_app$r'| (|tptp.'fun_app$s'| |tptp.'plus$b'| (|tptp.'tensor_op$'| |tptp.'a$'| |tptp.'b1$'|)) (|tptp.'tensor_op$'| |tptp.'a$'| |tptp.'b2$'|))) (|tptp.'fun_app$o'| |tptp.'ket$'| (|tptp.'fun_app$p'| (|tptp.'fun_app$q'| |tptp.'pair$'| |tptp.'i$'|) |tptp.'j$'|))))) (= (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| (|tptp.'fun_app$r'| (|tptp.'fun_app$s'| |tptp.'plus$b'| (|tptp.'tensor_op$'| |tptp.'a$'| |tptp.'b1$'|)) (|tptp.'tensor_op$'| |tptp.'a$'| |tptp.'b2$'|))) (|tptp.'fun_app$o'| |tptp.'ket$'| (|tptp.'fun_app$p'| (|tptp.'fun_app$q'| |tptp.'pair$'| |tptp.'i$'|) |tptp.'j$'|))) (|tptp.'plus$u'| (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| (|tptp.'tensor_op$'| |tptp.'a$'| |tptp.'b1$'|)) (|tptp.'fun_app$o'| |tptp.'ket$'| (|tptp.'fun_app$p'| (|tptp.'fun_app$q'| |tptp.'pair$'| |tptp.'i$'|) |tptp.'j$'|))) (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| (|tptp.'tensor_op$'| |tptp.'a$'| |tptp.'b2$'|)) (|tptp.'fun_app$o'| |tptp.'ket$'| (|tptp.'fun_app$p'| (|tptp.'fun_app$q'| |tptp.'pair$'| |tptp.'i$'|) |tptp.'j$'|))))) (= (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| (|tptp.'tensor_op$'| |tptp.'a$'| |tptp.'b1$'|)) (|tptp.'fun_app$o'| |tptp.'ket$'| (|tptp.'fun_app$p'| (|tptp.'fun_app$q'| |tptp.'pair$'| |tptp.'i$'|) |tptp.'j$'|))) (|tptp.'tensor_ell2$'| (|tptp.'fun_app$t'| (|tptp.'cblinfun_apply$a'| |tptp.'a$'|) (|tptp.'ket$a'| |tptp.'i$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b1$'|) (|tptp.'ket$b'| |tptp.'j$'|)))) (= (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| (|tptp.'tensor_op$'| |tptp.'a$'| |tptp.'b2$'|)) (|tptp.'fun_app$o'| |tptp.'ket$'| (|tptp.'fun_app$p'| (|tptp.'fun_app$q'| |tptp.'pair$'| |tptp.'i$'|) |tptp.'j$'|))) (|tptp.'tensor_ell2$'| (|tptp.'fun_app$t'| (|tptp.'cblinfun_apply$a'| |tptp.'a$'|) (|tptp.'ket$a'| |tptp.'i$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b2$'|) (|tptp.'ket$b'| |tptp.'j$'|)))))) :rule implies_neg1)
% 1.07/1.27 (anchor :step t44.t3)
% 1.07/1.27 (assume t44.t3.a0 (= (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| (|tptp.'tensor_op$'| |tptp.'a$'| (|tptp.'fun_app$m'| (|tptp.'fun_app$n'| |tptp.'plus$a'| |tptp.'b1$'|) |tptp.'b2$'|))) (|tptp.'fun_app$o'| |tptp.'ket$'| (|tptp.'fun_app$p'| (|tptp.'fun_app$q'| |tptp.'pair$'| |tptp.'i$'|) |tptp.'j$'|))) (|tptp.'tensor_ell2$'| (|tptp.'fun_app$t'| (|tptp.'cblinfun_apply$a'| |tptp.'a$'|) (|tptp.'ket$a'| |tptp.'i$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| (|tptp.'fun_app$m'| (|tptp.'fun_app$n'| |tptp.'plus$a'| |tptp.'b1$'|) |tptp.'b2$'|)) (|tptp.'ket$b'| |tptp.'j$'|)))))
% 1.07/1.27 (assume t44.t3.a1 (= (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| (|tptp.'fun_app$m'| (|tptp.'fun_app$n'| |tptp.'plus$a'| |tptp.'b1$'|) |tptp.'b2$'|)) (|tptp.'ket$b'| |tptp.'j$'|)) (|tptp.'plus$i'| (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b1$'|) (|tptp.'ket$b'| |tptp.'j$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b2$'|) (|tptp.'ket$b'| |tptp.'j$'|)))))
% 1.07/1.27 (assume t44.t3.a2 (not (= (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| (|tptp.'tensor_op$'| |tptp.'a$'| (|tptp.'fun_app$m'| (|tptp.'fun_app$n'| |tptp.'plus$a'| |tptp.'b1$'|) |tptp.'b2$'|))) (|tptp.'fun_app$o'| |tptp.'ket$'| (|tptp.'fun_app$p'| (|tptp.'fun_app$q'| |tptp.'pair$'| |tptp.'i$'|) |tptp.'j$'|))) (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| (|tptp.'fun_app$r'| (|tptp.'fun_app$s'| |tptp.'plus$b'| (|tptp.'tensor_op$'| |tptp.'a$'| |tptp.'b1$'|)) (|tptp.'tensor_op$'| |tptp.'a$'| |tptp.'b2$'|))) (|tptp.'fun_app$o'| |tptp.'ket$'| (|tptp.'fun_app$p'| (|tptp.'fun_app$q'| |tptp.'pair$'| |tptp.'i$'|) |tptp.'j$'|))))))
% 1.07/1.27 (assume t44.t3.a3 (= (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| (|tptp.'fun_app$r'| (|tptp.'fun_app$s'| |tptp.'plus$b'| (|tptp.'tensor_op$'| |tptp.'a$'| |tptp.'b1$'|)) (|tptp.'tensor_op$'| |tptp.'a$'| |tptp.'b2$'|))) (|tptp.'fun_app$o'| |tptp.'ket$'| (|tptp.'fun_app$p'| (|tptp.'fun_app$q'| |tptp.'pair$'| |tptp.'i$'|) |tptp.'j$'|))) (|tptp.'plus$u'| (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| (|tptp.'tensor_op$'| |tptp.'a$'| |tptp.'b1$'|)) (|tptp.'fun_app$o'| |tptp.'ket$'| (|tptp.'fun_app$p'| (|tptp.'fun_app$q'| |tptp.'pair$'| |tptp.'i$'|) |tptp.'j$'|))) (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| (|tptp.'tensor_op$'| |tptp.'a$'| |tptp.'b2$'|)) (|tptp.'fun_app$o'| |tptp.'ket$'| (|tptp.'fun_app$p'| (|tptp.'fun_app$q'| |tptp.'pair$'| |tptp.'i$'|) |tptp.'j$'|))))))
% 1.07/1.27 (assume t44.t3.a4 (= (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| (|tptp.'tensor_op$'| |tptp.'a$'| |tptp.'b1$'|)) (|tptp.'fun_app$o'| |tptp.'ket$'| (|tptp.'fun_app$p'| (|tptp.'fun_app$q'| |tptp.'pair$'| |tptp.'i$'|) |tptp.'j$'|))) (|tptp.'tensor_ell2$'| (|tptp.'fun_app$t'| (|tptp.'cblinfun_apply$a'| |tptp.'a$'|) (|tptp.'ket$a'| |tptp.'i$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b1$'|) (|tptp.'ket$b'| |tptp.'j$'|)))))
% 1.07/1.27 (assume t44.t3.a5 (= (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| (|tptp.'tensor_op$'| |tptp.'a$'| |tptp.'b2$'|)) (|tptp.'fun_app$o'| |tptp.'ket$'| (|tptp.'fun_app$p'| (|tptp.'fun_app$q'| |tptp.'pair$'| |tptp.'i$'|) |tptp.'j$'|))) (|tptp.'tensor_ell2$'| (|tptp.'fun_app$t'| (|tptp.'cblinfun_apply$a'| |tptp.'a$'|) (|tptp.'ket$a'| |tptp.'i$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b2$'|) (|tptp.'ket$b'| |tptp.'j$'|)))))
% 1.07/1.27 (step t44.t3.t1 (cl (= (= (= (|tptp.'tensor_ell2$'| (|tptp.'fun_app$t'| (|tptp.'cblinfun_apply$a'| |tptp.'a$'|) (|tptp.'ket$a'| |tptp.'i$'|)) (|tptp.'plus$i'| (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b1$'|) (|tptp.'ket$b'| |tptp.'j$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b2$'|) (|tptp.'ket$b'| |tptp.'j$'|)))) (|tptp.'plus$u'| (|tptp.'tensor_ell2$'| (|tptp.'fun_app$t'| (|tptp.'cblinfun_apply$a'| |tptp.'a$'|) (|tptp.'ket$a'| |tptp.'i$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b1$'|) (|tptp.'ket$b'| |tptp.'j$'|))) (|tptp.'tensor_ell2$'| (|tptp.'fun_app$t'| (|tptp.'cblinfun_apply$a'| |tptp.'a$'|) (|tptp.'ket$a'| |tptp.'i$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b2$'|) (|tptp.'ket$b'| |tptp.'j$'|))))) false) (not (= (|tptp.'tensor_ell2$'| (|tptp.'fun_app$t'| (|tptp.'cblinfun_apply$a'| |tptp.'a$'|) (|tptp.'ket$a'| |tptp.'i$'|)) (|tptp.'plus$i'| (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b1$'|) (|tptp.'ket$b'| |tptp.'j$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b2$'|) (|tptp.'ket$b'| |tptp.'j$'|)))) (|tptp.'plus$u'| (|tptp.'tensor_ell2$'| (|tptp.'fun_app$t'| (|tptp.'cblinfun_apply$a'| |tptp.'a$'|) (|tptp.'ket$a'| |tptp.'i$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b1$'|) (|tptp.'ket$b'| |tptp.'j$'|))) (|tptp.'tensor_ell2$'| (|tptp.'fun_app$t'| (|tptp.'cblinfun_apply$a'| |tptp.'a$'|) (|tptp.'ket$a'| |tptp.'i$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b2$'|) (|tptp.'ket$b'| |tptp.'j$'|)))))))) :rule equiv_simplify)
% 1.07/1.27 (step t44.t3.t2 (cl (not (= (= (|tptp.'tensor_ell2$'| (|tptp.'fun_app$t'| (|tptp.'cblinfun_apply$a'| |tptp.'a$'|) (|tptp.'ket$a'| |tptp.'i$'|)) (|tptp.'plus$i'| (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b1$'|) (|tptp.'ket$b'| |tptp.'j$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b2$'|) (|tptp.'ket$b'| |tptp.'j$'|)))) (|tptp.'plus$u'| (|tptp.'tensor_ell2$'| (|tptp.'fun_app$t'| (|tptp.'cblinfun_apply$a'| |tptp.'a$'|) (|tptp.'ket$a'| |tptp.'i$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b1$'|) (|tptp.'ket$b'| |tptp.'j$'|))) (|tptp.'tensor_ell2$'| (|tptp.'fun_app$t'| (|tptp.'cblinfun_apply$a'| |tptp.'a$'|) (|tptp.'ket$a'| |tptp.'i$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b2$'|) (|tptp.'ket$b'| |tptp.'j$'|))))) false)) (not (= (|tptp.'tensor_ell2$'| (|tptp.'fun_app$t'| (|tptp.'cblinfun_apply$a'| |tptp.'a$'|) (|tptp.'ket$a'| |tptp.'i$'|)) (|tptp.'plus$i'| (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b1$'|) (|tptp.'ket$b'| |tptp.'j$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b2$'|) (|tptp.'ket$b'| |tptp.'j$'|)))) (|tptp.'plus$u'| (|tptp.'tensor_ell2$'| (|tptp.'fun_app$t'| (|tptp.'cblinfun_apply$a'| |tptp.'a$'|) (|tptp.'ket$a'| |tptp.'i$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b1$'|) (|tptp.'ket$b'| |tptp.'j$'|))) (|tptp.'tensor_ell2$'| (|tptp.'fun_app$t'| (|tptp.'cblinfun_apply$a'| |tptp.'a$'|) (|tptp.'ket$a'| |tptp.'i$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b2$'|) (|tptp.'ket$b'| |tptp.'j$'|))))))) :rule equiv1 :premises (t44.t3.t1))
% 1.07/1.27 (step t44.t3.t3 (cl (= (|tptp.'fun_app$t'| (|tptp.'cblinfun_apply$a'| |tptp.'a$'|) (|tptp.'ket$a'| |tptp.'i$'|)) (|tptp.'fun_app$t'| (|tptp.'cblinfun_apply$a'| |tptp.'a$'|) (|tptp.'ket$a'| |tptp.'i$'|)))) :rule refl)
% 1.07/1.27 (step t44.t3.t4 (cl (= (|tptp.'plus$i'| (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b1$'|) (|tptp.'ket$b'| |tptp.'j$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b2$'|) (|tptp.'ket$b'| |tptp.'j$'|))) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| (|tptp.'fun_app$m'| (|tptp.'fun_app$n'| |tptp.'plus$a'| |tptp.'b1$'|) |tptp.'b2$'|)) (|tptp.'ket$b'| |tptp.'j$'|)))) :rule symm :premises (t44.t3.a1))
% 1.07/1.27 (step t44.t3.t5 (cl (= (|tptp.'tensor_ell2$'| (|tptp.'fun_app$t'| (|tptp.'cblinfun_apply$a'| |tptp.'a$'|) (|tptp.'ket$a'| |tptp.'i$'|)) (|tptp.'plus$i'| (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b1$'|) (|tptp.'ket$b'| |tptp.'j$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b2$'|) (|tptp.'ket$b'| |tptp.'j$'|)))) (|tptp.'tensor_ell2$'| (|tptp.'fun_app$t'| (|tptp.'cblinfun_apply$a'| |tptp.'a$'|) (|tptp.'ket$a'| |tptp.'i$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| (|tptp.'fun_app$m'| (|tptp.'fun_app$n'| |tptp.'plus$a'| |tptp.'b1$'|) |tptp.'b2$'|)) (|tptp.'ket$b'| |tptp.'j$'|))))) :rule cong :premises (t44.t3.t3 t44.t3.t4))
% 1.07/1.27 (step t44.t3.t6 (cl (= (|tptp.'tensor_ell2$'| (|tptp.'fun_app$t'| (|tptp.'cblinfun_apply$a'| |tptp.'a$'|) (|tptp.'ket$a'| |tptp.'i$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| (|tptp.'fun_app$m'| (|tptp.'fun_app$n'| |tptp.'plus$a'| |tptp.'b1$'|) |tptp.'b2$'|)) (|tptp.'ket$b'| |tptp.'j$'|))) (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| (|tptp.'tensor_op$'| |tptp.'a$'| (|tptp.'fun_app$m'| (|tptp.'fun_app$n'| |tptp.'plus$a'| |tptp.'b1$'|) |tptp.'b2$'|))) (|tptp.'fun_app$o'| |tptp.'ket$'| (|tptp.'fun_app$p'| (|tptp.'fun_app$q'| |tptp.'pair$'| |tptp.'i$'|) |tptp.'j$'|))))) :rule symm :premises (t44.t3.a0))
% 1.07/1.27 (step t44.t3.t7 (cl (= (|tptp.'tensor_ell2$'| (|tptp.'fun_app$t'| (|tptp.'cblinfun_apply$a'| |tptp.'a$'|) (|tptp.'ket$a'| |tptp.'i$'|)) (|tptp.'plus$i'| (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b1$'|) (|tptp.'ket$b'| |tptp.'j$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b2$'|) (|tptp.'ket$b'| |tptp.'j$'|)))) (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| (|tptp.'tensor_op$'| |tptp.'a$'| (|tptp.'fun_app$m'| (|tptp.'fun_app$n'| |tptp.'plus$a'| |tptp.'b1$'|) |tptp.'b2$'|))) (|tptp.'fun_app$o'| |tptp.'ket$'| (|tptp.'fun_app$p'| (|tptp.'fun_app$q'| |tptp.'pair$'| |tptp.'i$'|) |tptp.'j$'|))))) :rule trans :premises (t44.t3.t5 t44.t3.t6))
% 1.07/1.27 (step t44.t3.t8 (cl (= (|tptp.'tensor_ell2$'| (|tptp.'fun_app$t'| (|tptp.'cblinfun_apply$a'| |tptp.'a$'|) (|tptp.'ket$a'| |tptp.'i$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b1$'|) (|tptp.'ket$b'| |tptp.'j$'|))) (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| (|tptp.'tensor_op$'| |tptp.'a$'| |tptp.'b1$'|)) (|tptp.'fun_app$o'| |tptp.'ket$'| (|tptp.'fun_app$p'| (|tptp.'fun_app$q'| |tptp.'pair$'| |tptp.'i$'|) |tptp.'j$'|))))) :rule symm :premises (t44.t3.a4))
% 1.07/1.27 (step t44.t3.t9 (cl (= (|tptp.'tensor_ell2$'| (|tptp.'fun_app$t'| (|tptp.'cblinfun_apply$a'| |tptp.'a$'|) (|tptp.'ket$a'| |tptp.'i$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b2$'|) (|tptp.'ket$b'| |tptp.'j$'|))) (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| (|tptp.'tensor_op$'| |tptp.'a$'| |tptp.'b2$'|)) (|tptp.'fun_app$o'| |tptp.'ket$'| (|tptp.'fun_app$p'| (|tptp.'fun_app$q'| |tptp.'pair$'| |tptp.'i$'|) |tptp.'j$'|))))) :rule symm :premises (t44.t3.a5))
% 1.07/1.27 (step t44.t3.t10 (cl (= (|tptp.'plus$u'| (|tptp.'tensor_ell2$'| (|tptp.'fun_app$t'| (|tptp.'cblinfun_apply$a'| |tptp.'a$'|) (|tptp.'ket$a'| |tptp.'i$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b1$'|) (|tptp.'ket$b'| |tptp.'j$'|))) (|tptp.'tensor_ell2$'| (|tptp.'fun_app$t'| (|tptp.'cblinfun_apply$a'| |tptp.'a$'|) (|tptp.'ket$a'| |tptp.'i$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b2$'|) (|tptp.'ket$b'| |tptp.'j$'|)))) (|tptp.'plus$u'| (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| (|tptp.'tensor_op$'| |tptp.'a$'| |tptp.'b1$'|)) (|tptp.'fun_app$o'| |tptp.'ket$'| (|tptp.'fun_app$p'| (|tptp.'fun_app$q'| |tptp.'pair$'| |tptp.'i$'|) |tptp.'j$'|))) (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| (|tptp.'tensor_op$'| |tptp.'a$'| |tptp.'b2$'|)) (|tptp.'fun_app$o'| |tptp.'ket$'| (|tptp.'fun_app$p'| (|tptp.'fun_app$q'| |tptp.'pair$'| |tptp.'i$'|) |tptp.'j$'|)))))) :rule cong :premises (t44.t3.t8 t44.t3.t9))
% 1.07/1.27 (step t44.t3.t11 (cl (= (|tptp.'plus$u'| (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| (|tptp.'tensor_op$'| |tptp.'a$'| |tptp.'b1$'|)) (|tptp.'fun_app$o'| |tptp.'ket$'| (|tptp.'fun_app$p'| (|tptp.'fun_app$q'| |tptp.'pair$'| |tptp.'i$'|) |tptp.'j$'|))) (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| (|tptp.'tensor_op$'| |tptp.'a$'| |tptp.'b2$'|)) (|tptp.'fun_app$o'| |tptp.'ket$'| (|tptp.'fun_app$p'| (|tptp.'fun_app$q'| |tptp.'pair$'| |tptp.'i$'|) |tptp.'j$'|)))) (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| (|tptp.'fun_app$r'| (|tptp.'fun_app$s'| |tptp.'plus$b'| (|tptp.'tensor_op$'| |tptp.'a$'| |tptp.'b1$'|)) (|tptp.'tensor_op$'| |tptp.'a$'| |tptp.'b2$'|))) (|tptp.'fun_app$o'| |tptp.'ket$'| (|tptp.'fun_app$p'| (|tptp.'fun_app$q'| |tptp.'pair$'| |tptp.'i$'|) |tptp.'j$'|))))) :rule symm :premises (t44.t3.a3))
% 1.07/1.27 (step t44.t3.t12 (cl (= (|tptp.'plus$u'| (|tptp.'tensor_ell2$'| (|tptp.'fun_app$t'| (|tptp.'cblinfun_apply$a'| |tptp.'a$'|) (|tptp.'ket$a'| |tptp.'i$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b1$'|) (|tptp.'ket$b'| |tptp.'j$'|))) (|tptp.'tensor_ell2$'| (|tptp.'fun_app$t'| (|tptp.'cblinfun_apply$a'| |tptp.'a$'|) (|tptp.'ket$a'| |tptp.'i$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b2$'|) (|tptp.'ket$b'| |tptp.'j$'|)))) (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| (|tptp.'fun_app$r'| (|tptp.'fun_app$s'| |tptp.'plus$b'| (|tptp.'tensor_op$'| |tptp.'a$'| |tptp.'b1$'|)) (|tptp.'tensor_op$'| |tptp.'a$'| |tptp.'b2$'|))) (|tptp.'fun_app$o'| |tptp.'ket$'| (|tptp.'fun_app$p'| (|tptp.'fun_app$q'| |tptp.'pair$'| |tptp.'i$'|) |tptp.'j$'|))))) :rule trans :premises (t44.t3.t10 t44.t3.t11))
% 1.07/1.27 (step t44.t3.t13 (cl (= (= (|tptp.'tensor_ell2$'| (|tptp.'fun_app$t'| (|tptp.'cblinfun_apply$a'| |tptp.'a$'|) (|tptp.'ket$a'| |tptp.'i$'|)) (|tptp.'plus$i'| (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b1$'|) (|tptp.'ket$b'| |tptp.'j$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b2$'|) (|tptp.'ket$b'| |tptp.'j$'|)))) (|tptp.'plus$u'| (|tptp.'tensor_ell2$'| (|tptp.'fun_app$t'| (|tptp.'cblinfun_apply$a'| |tptp.'a$'|) (|tptp.'ket$a'| |tptp.'i$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b1$'|) (|tptp.'ket$b'| |tptp.'j$'|))) (|tptp.'tensor_ell2$'| (|tptp.'fun_app$t'| (|tptp.'cblinfun_apply$a'| |tptp.'a$'|) (|tptp.'ket$a'| |tptp.'i$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b2$'|) (|tptp.'ket$b'| |tptp.'j$'|))))) (= (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| (|tptp.'tensor_op$'| |tptp.'a$'| (|tptp.'fun_app$m'| (|tptp.'fun_app$n'| |tptp.'plus$a'| |tptp.'b1$'|) |tptp.'b2$'|))) (|tptp.'fun_app$o'| |tptp.'ket$'| (|tptp.'fun_app$p'| (|tptp.'fun_app$q'| |tptp.'pair$'| |tptp.'i$'|) |tptp.'j$'|))) (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| (|tptp.'fun_app$r'| (|tptp.'fun_app$s'| |tptp.'plus$b'| (|tptp.'tensor_op$'| |tptp.'a$'| |tptp.'b1$'|)) (|tptp.'tensor_op$'| |tptp.'a$'| |tptp.'b2$'|))) (|tptp.'fun_app$o'| |tptp.'ket$'| (|tptp.'fun_app$p'| (|tptp.'fun_app$q'| |tptp.'pair$'| |tptp.'i$'|) |tptp.'j$'|)))))) :rule cong :premises (t44.t3.t7 t44.t3.t12))
% 1.07/1.27 (step t44.t3.t14 (cl (= (= (= (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| (|tptp.'tensor_op$'| |tptp.'a$'| (|tptp.'fun_app$m'| (|tptp.'fun_app$n'| |tptp.'plus$a'| |tptp.'b1$'|) |tptp.'b2$'|))) (|tptp.'fun_app$o'| |tptp.'ket$'| (|tptp.'fun_app$p'| (|tptp.'fun_app$q'| |tptp.'pair$'| |tptp.'i$'|) |tptp.'j$'|))) (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| (|tptp.'fun_app$r'| (|tptp.'fun_app$s'| |tptp.'plus$b'| (|tptp.'tensor_op$'| |tptp.'a$'| |tptp.'b1$'|)) (|tptp.'tensor_op$'| |tptp.'a$'| |tptp.'b2$'|))) (|tptp.'fun_app$o'| |tptp.'ket$'| (|tptp.'fun_app$p'| (|tptp.'fun_app$q'| |tptp.'pair$'| |tptp.'i$'|) |tptp.'j$'|)))) false) (not (= (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| (|tptp.'tensor_op$'| |tptp.'a$'| (|tptp.'fun_app$m'| (|tptp.'fun_app$n'| |tptp.'plus$a'| |tptp.'b1$'|) |tptp.'b2$'|))) (|tptp.'fun_app$o'| |tptp.'ket$'| (|tptp.'fun_app$p'| (|tptp.'fun_app$q'| |tptp.'pair$'| |tptp.'i$'|) |tptp.'j$'|))) (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| (|tptp.'fun_app$r'| (|tptp.'fun_app$s'| |tptp.'plus$b'| (|tptp.'tensor_op$'| |tptp.'a$'| |tptp.'b1$'|)) (|tptp.'tensor_op$'| |tptp.'a$'| |tptp.'b2$'|))) (|tptp.'fun_app$o'| |tptp.'ket$'| (|tptp.'fun_app$p'| (|tptp.'fun_app$q'| |tptp.'pair$'| |tptp.'i$'|) |tptp.'j$'|))))))) :rule equiv_simplify)
% 1.07/1.27 (step t44.t3.t15 (cl (= (= (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| (|tptp.'tensor_op$'| |tptp.'a$'| (|tptp.'fun_app$m'| (|tptp.'fun_app$n'| |tptp.'plus$a'| |tptp.'b1$'|) |tptp.'b2$'|))) (|tptp.'fun_app$o'| |tptp.'ket$'| (|tptp.'fun_app$p'| (|tptp.'fun_app$q'| |tptp.'pair$'| |tptp.'i$'|) |tptp.'j$'|))) (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| (|tptp.'fun_app$r'| (|tptp.'fun_app$s'| |tptp.'plus$b'| (|tptp.'tensor_op$'| |tptp.'a$'| |tptp.'b1$'|)) (|tptp.'tensor_op$'| |tptp.'a$'| |tptp.'b2$'|))) (|tptp.'fun_app$o'| |tptp.'ket$'| (|tptp.'fun_app$p'| (|tptp.'fun_app$q'| |tptp.'pair$'| |tptp.'i$'|) |tptp.'j$'|)))) false) (not (not (= (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| (|tptp.'tensor_op$'| |tptp.'a$'| (|tptp.'fun_app$m'| (|tptp.'fun_app$n'| |tptp.'plus$a'| |tptp.'b1$'|) |tptp.'b2$'|))) (|tptp.'fun_app$o'| |tptp.'ket$'| (|tptp.'fun_app$p'| (|tptp.'fun_app$q'| |tptp.'pair$'| |tptp.'i$'|) |tptp.'j$'|))) (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| (|tptp.'fun_app$r'| (|tptp.'fun_app$s'| |tptp.'plus$b'| (|tptp.'tensor_op$'| |tptp.'a$'| |tptp.'b1$'|)) (|tptp.'tensor_op$'| |tptp.'a$'| |tptp.'b2$'|))) (|tptp.'fun_app$o'| |tptp.'ket$'| (|tptp.'fun_app$p'| (|tptp.'fun_app$q'| |tptp.'pair$'| |tptp.'i$'|) |tptp.'j$'|))))))) :rule equiv2 :premises (t44.t3.t14))
% 1.07/1.27 (step t44.t3.t16 (cl (not (not (not (= (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| (|tptp.'tensor_op$'| |tptp.'a$'| (|tptp.'fun_app$m'| (|tptp.'fun_app$n'| |tptp.'plus$a'| |tptp.'b1$'|) |tptp.'b2$'|))) (|tptp.'fun_app$o'| |tptp.'ket$'| (|tptp.'fun_app$p'| (|tptp.'fun_app$q'| |tptp.'pair$'| |tptp.'i$'|) |tptp.'j$'|))) (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| (|tptp.'fun_app$r'| (|tptp.'fun_app$s'| |tptp.'plus$b'| (|tptp.'tensor_op$'| |tptp.'a$'| |tptp.'b1$'|)) (|tptp.'tensor_op$'| |tptp.'a$'| |tptp.'b2$'|))) (|tptp.'fun_app$o'| |tptp.'ket$'| (|tptp.'fun_app$p'| (|tptp.'fun_app$q'| |tptp.'pair$'| |tptp.'i$'|) |tptp.'j$'|))))))) (= (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| (|tptp.'tensor_op$'| |tptp.'a$'| (|tptp.'fun_app$m'| (|tptp.'fun_app$n'| |tptp.'plus$a'| |tptp.'b1$'|) |tptp.'b2$'|))) (|tptp.'fun_app$o'| |tptp.'ket$'| (|tptp.'fun_app$p'| (|tptp.'fun_app$q'| |tptp.'pair$'| |tptp.'i$'|) |tptp.'j$'|))) (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| (|tptp.'fun_app$r'| (|tptp.'fun_app$s'| |tptp.'plus$b'| (|tptp.'tensor_op$'| |tptp.'a$'| |tptp.'b1$'|)) (|tptp.'tensor_op$'| |tptp.'a$'| |tptp.'b2$'|))) (|tptp.'fun_app$o'| |tptp.'ket$'| (|tptp.'fun_app$p'| (|tptp.'fun_app$q'| |tptp.'pair$'| |tptp.'i$'|) |tptp.'j$'|))))) :rule not_not)
% 1.07/1.27 (step t44.t3.t17 (cl (= (= (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| (|tptp.'tensor_op$'| |tptp.'a$'| (|tptp.'fun_app$m'| (|tptp.'fun_app$n'| |tptp.'plus$a'| |tptp.'b1$'|) |tptp.'b2$'|))) (|tptp.'fun_app$o'| |tptp.'ket$'| (|tptp.'fun_app$p'| (|tptp.'fun_app$q'| |tptp.'pair$'| |tptp.'i$'|) |tptp.'j$'|))) (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| (|tptp.'fun_app$r'| (|tptp.'fun_app$s'| |tptp.'plus$b'| (|tptp.'tensor_op$'| |tptp.'a$'| |tptp.'b1$'|)) (|tptp.'tensor_op$'| |tptp.'a$'| |tptp.'b2$'|))) (|tptp.'fun_app$o'| |tptp.'ket$'| (|tptp.'fun_app$p'| (|tptp.'fun_app$q'| |tptp.'pair$'| |tptp.'i$'|) |tptp.'j$'|)))) false) (= (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| (|tptp.'tensor_op$'| |tptp.'a$'| (|tptp.'fun_app$m'| (|tptp.'fun_app$n'| |tptp.'plus$a'| |tptp.'b1$'|) |tptp.'b2$'|))) (|tptp.'fun_app$o'| |tptp.'ket$'| (|tptp.'fun_app$p'| (|tptp.'fun_app$q'| |tptp.'pair$'| |tptp.'i$'|) |tptp.'j$'|))) (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| (|tptp.'fun_app$r'| (|tptp.'fun_app$s'| |tptp.'plus$b'| (|tptp.'tensor_op$'| |tptp.'a$'| |tptp.'b1$'|)) (|tptp.'tensor_op$'| |tptp.'a$'| |tptp.'b2$'|))) (|tptp.'fun_app$o'| |tptp.'ket$'| (|tptp.'fun_app$p'| (|tptp.'fun_app$q'| |tptp.'pair$'| |tptp.'i$'|) |tptp.'j$'|))))) :rule resolution :premises (t44.t3.t15 t44.t3.t16))
% 1.07/1.27 (step t44.t3.t18 (cl (= (= (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| (|tptp.'tensor_op$'| |tptp.'a$'| (|tptp.'fun_app$m'| (|tptp.'fun_app$n'| |tptp.'plus$a'| |tptp.'b1$'|) |tptp.'b2$'|))) (|tptp.'fun_app$o'| |tptp.'ket$'| (|tptp.'fun_app$p'| (|tptp.'fun_app$q'| |tptp.'pair$'| |tptp.'i$'|) |tptp.'j$'|))) (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| (|tptp.'fun_app$r'| (|tptp.'fun_app$s'| |tptp.'plus$b'| (|tptp.'tensor_op$'| |tptp.'a$'| |tptp.'b1$'|)) (|tptp.'tensor_op$'| |tptp.'a$'| |tptp.'b2$'|))) (|tptp.'fun_app$o'| |tptp.'ket$'| (|tptp.'fun_app$p'| (|tptp.'fun_app$q'| |tptp.'pair$'| |tptp.'i$'|) |tptp.'j$'|)))) false)) :rule resolution :premises (t44.t3.t17 t44.t3.a2))
% 1.07/1.27 (step t44.t3.t19 (cl (= (= (|tptp.'tensor_ell2$'| (|tptp.'fun_app$t'| (|tptp.'cblinfun_apply$a'| |tptp.'a$'|) (|tptp.'ket$a'| |tptp.'i$'|)) (|tptp.'plus$i'| (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b1$'|) (|tptp.'ket$b'| |tptp.'j$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b2$'|) (|tptp.'ket$b'| |tptp.'j$'|)))) (|tptp.'plus$u'| (|tptp.'tensor_ell2$'| (|tptp.'fun_app$t'| (|tptp.'cblinfun_apply$a'| |tptp.'a$'|) (|tptp.'ket$a'| |tptp.'i$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b1$'|) (|tptp.'ket$b'| |tptp.'j$'|))) (|tptp.'tensor_ell2$'| (|tptp.'fun_app$t'| (|tptp.'cblinfun_apply$a'| |tptp.'a$'|) (|tptp.'ket$a'| |tptp.'i$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b2$'|) (|tptp.'ket$b'| |tptp.'j$'|))))) false)) :rule trans :premises (t44.t3.t13 t44.t3.t18))
% 1.07/1.27 (step t44.t3.t20 (cl (not (= (|tptp.'tensor_ell2$'| (|tptp.'fun_app$t'| (|tptp.'cblinfun_apply$a'| |tptp.'a$'|) (|tptp.'ket$a'| |tptp.'i$'|)) (|tptp.'plus$i'| (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b1$'|) (|tptp.'ket$b'| |tptp.'j$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b2$'|) (|tptp.'ket$b'| |tptp.'j$'|)))) (|tptp.'plus$u'| (|tptp.'tensor_ell2$'| (|tptp.'fun_app$t'| (|tptp.'cblinfun_apply$a'| |tptp.'a$'|) (|tptp.'ket$a'| |tptp.'i$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b1$'|) (|tptp.'ket$b'| |tptp.'j$'|))) (|tptp.'tensor_ell2$'| (|tptp.'fun_app$t'| (|tptp.'cblinfun_apply$a'| |tptp.'a$'|) (|tptp.'ket$a'| |tptp.'i$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b2$'|) (|tptp.'ket$b'| |tptp.'j$'|))))))) :rule resolution :premises (t44.t3.t2 t44.t3.t19))
% 1.07/1.27 (step t44.t3 (cl (not (= (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| (|tptp.'tensor_op$'| |tptp.'a$'| (|tptp.'fun_app$m'| (|tptp.'fun_app$n'| |tptp.'plus$a'| |tptp.'b1$'|) |tptp.'b2$'|))) (|tptp.'fun_app$o'| |tptp.'ket$'| (|tptp.'fun_app$p'| (|tptp.'fun_app$q'| |tptp.'pair$'| |tptp.'i$'|) |tptp.'j$'|))) (|tptp.'tensor_ell2$'| (|tptp.'fun_app$t'| (|tptp.'cblinfun_apply$a'| |tptp.'a$'|) (|tptp.'ket$a'| |tptp.'i$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| (|tptp.'fun_app$m'| (|tptp.'fun_app$n'| |tptp.'plus$a'| |tptp.'b1$'|) |tptp.'b2$'|)) (|tptp.'ket$b'| |tptp.'j$'|))))) (not (= (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| (|tptp.'fun_app$m'| (|tptp.'fun_app$n'| |tptp.'plus$a'| |tptp.'b1$'|) |tptp.'b2$'|)) (|tptp.'ket$b'| |tptp.'j$'|)) (|tptp.'plus$i'| (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b1$'|) (|tptp.'ket$b'| |tptp.'j$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b2$'|) (|tptp.'ket$b'| |tptp.'j$'|))))) (not (not (= (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| (|tptp.'tensor_op$'| |tptp.'a$'| (|tptp.'fun_app$m'| (|tptp.'fun_app$n'| |tptp.'plus$a'| |tptp.'b1$'|) |tptp.'b2$'|))) (|tptp.'fun_app$o'| |tptp.'ket$'| (|tptp.'fun_app$p'| (|tptp.'fun_app$q'| |tptp.'pair$'| |tptp.'i$'|) |tptp.'j$'|))) (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| (|tptp.'fun_app$r'| (|tptp.'fun_app$s'| |tptp.'plus$b'| (|tptp.'tensor_op$'| |tptp.'a$'| |tptp.'b1$'|)) (|tptp.'tensor_op$'| |tptp.'a$'| |tptp.'b2$'|))) (|tptp.'fun_app$o'| |tptp.'ket$'| (|tptp.'fun_app$p'| (|tptp.'fun_app$q'| |tptp.'pair$'| |tptp.'i$'|) |tptp.'j$'|)))))) (not (= (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| (|tptp.'fun_app$r'| (|tptp.'fun_app$s'| |tptp.'plus$b'| (|tptp.'tensor_op$'| |tptp.'a$'| |tptp.'b1$'|)) (|tptp.'tensor_op$'| |tptp.'a$'| |tptp.'b2$'|))) (|tptp.'fun_app$o'| |tptp.'ket$'| (|tptp.'fun_app$p'| (|tptp.'fun_app$q'| |tptp.'pair$'| |tptp.'i$'|) |tptp.'j$'|))) (|tptp.'plus$u'| (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| (|tptp.'tensor_op$'| |tptp.'a$'| |tptp.'b1$'|)) (|tptp.'fun_app$o'| |tptp.'ket$'| (|tptp.'fun_app$p'| (|tptp.'fun_app$q'| |tptp.'pair$'| |tptp.'i$'|) |tptp.'j$'|))) (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| (|tptp.'tensor_op$'| |tptp.'a$'| |tptp.'b2$'|)) (|tptp.'fun_app$o'| |tptp.'ket$'| (|tptp.'fun_app$p'| (|tptp.'fun_app$q'| |tptp.'pair$'| |tptp.'i$'|) |tptp.'j$'|)))))) (not (= (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| (|tptp.'tensor_op$'| |tptp.'a$'| |tptp.'b1$'|)) (|tptp.'fun_app$o'| |tptp.'ket$'| (|tptp.'fun_app$p'| (|tptp.'fun_app$q'| |tptp.'pair$'| |tptp.'i$'|) |tptp.'j$'|))) (|tptp.'tensor_ell2$'| (|tptp.'fun_app$t'| (|tptp.'cblinfun_apply$a'| |tptp.'a$'|) (|tptp.'ket$a'| |tptp.'i$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b1$'|) (|tptp.'ket$b'| |tptp.'j$'|))))) (not (= (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| (|tptp.'tensor_op$'| |tptp.'a$'| |tptp.'b2$'|)) (|tptp.'fun_app$o'| |tptp.'ket$'| (|tptp.'fun_app$p'| (|tptp.'fun_app$q'| |tptp.'pair$'| |tptp.'i$'|) |tptp.'j$'|))) (|tptp.'tensor_ell2$'| (|tptp.'fun_app$t'| (|tptp.'cblinfun_apply$a'| |tptp.'a$'|) (|tptp.'ket$a'| |tptp.'i$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b2$'|) (|tptp.'ket$b'| |tptp.'j$'|))))) (not (= (|tptp.'tensor_ell2$'| (|tptp.'fun_app$t'| (|tptp.'cblinfun_apply$a'| |tptp.'a$'|) (|tptp.'ket$a'| |tptp.'i$'|)) (|tptp.'plus$i'| (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b1$'|) (|tptp.'ket$b'| |tptp.'j$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b2$'|) (|tptp.'ket$b'| |tptp.'j$'|)))) (|tptp.'plus$u'| (|tptp.'tensor_ell2$'| (|tptp.'fun_app$t'| (|tptp.'cblinfun_apply$a'| |tptp.'a$'|) (|tptp.'ket$a'| |tptp.'i$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b1$'|) (|tptp.'ket$b'| |tptp.'j$'|))) (|tptp.'tensor_ell2$'| (|tptp.'fun_app$t'| (|tptp.'cblinfun_apply$a'| |tptp.'a$'|) (|tptp.'ket$a'| |tptp.'i$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b2$'|) (|tptp.'ket$b'| |tptp.'j$'|))))))) :rule subproof :discharge (t44.t3.a0 t44.t3.a1 t44.t3.a2 t44.t3.a3 t44.t3.a4 t44.t3.a5))
% 1.07/1.27 (step t44.t4 (cl (not (and (= (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| (|tptp.'tensor_op$'| |tptp.'a$'| (|tptp.'fun_app$m'| (|tptp.'fun_app$n'| |tptp.'plus$a'| |tptp.'b1$'|) |tptp.'b2$'|))) (|tptp.'fun_app$o'| |tptp.'ket$'| (|tptp.'fun_app$p'| (|tptp.'fun_app$q'| |tptp.'pair$'| |tptp.'i$'|) |tptp.'j$'|))) (|tptp.'tensor_ell2$'| (|tptp.'fun_app$t'| (|tptp.'cblinfun_apply$a'| |tptp.'a$'|) (|tptp.'ket$a'| |tptp.'i$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| (|tptp.'fun_app$m'| (|tptp.'fun_app$n'| |tptp.'plus$a'| |tptp.'b1$'|) |tptp.'b2$'|)) (|tptp.'ket$b'| |tptp.'j$'|)))) (= (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| (|tptp.'fun_app$m'| (|tptp.'fun_app$n'| |tptp.'plus$a'| |tptp.'b1$'|) |tptp.'b2$'|)) (|tptp.'ket$b'| |tptp.'j$'|)) (|tptp.'plus$i'| (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b1$'|) (|tptp.'ket$b'| |tptp.'j$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b2$'|) (|tptp.'ket$b'| |tptp.'j$'|)))) (not (= (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| (|tptp.'tensor_op$'| |tptp.'a$'| (|tptp.'fun_app$m'| (|tptp.'fun_app$n'| |tptp.'plus$a'| |tptp.'b1$'|) |tptp.'b2$'|))) (|tptp.'fun_app$o'| |tptp.'ket$'| (|tptp.'fun_app$p'| (|tptp.'fun_app$q'| |tptp.'pair$'| |tptp.'i$'|) |tptp.'j$'|))) (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| (|tptp.'fun_app$r'| (|tptp.'fun_app$s'| |tptp.'plus$b'| (|tptp.'tensor_op$'| |tptp.'a$'| |tptp.'b1$'|)) (|tptp.'tensor_op$'| |tptp.'a$'| |tptp.'b2$'|))) (|tptp.'fun_app$o'| |tptp.'ket$'| (|tptp.'fun_app$p'| (|tptp.'fun_app$q'| |tptp.'pair$'| |tptp.'i$'|) |tptp.'j$'|))))) (= (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| (|tptp.'fun_app$r'| (|tptp.'fun_app$s'| |tptp.'plus$b'| (|tptp.'tensor_op$'| |tptp.'a$'| |tptp.'b1$'|)) (|tptp.'tensor_op$'| |tptp.'a$'| |tptp.'b2$'|))) (|tptp.'fun_app$o'| |tptp.'ket$'| (|tptp.'fun_app$p'| (|tptp.'fun_app$q'| |tptp.'pair$'| |tptp.'i$'|) |tptp.'j$'|))) (|tptp.'plus$u'| (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| (|tptp.'tensor_op$'| |tptp.'a$'| |tptp.'b1$'|)) (|tptp.'fun_app$o'| |tptp.'ket$'| (|tptp.'fun_app$p'| (|tptp.'fun_app$q'| |tptp.'pair$'| |tptp.'i$'|) |tptp.'j$'|))) (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| (|tptp.'tensor_op$'| |tptp.'a$'| |tptp.'b2$'|)) (|tptp.'fun_app$o'| |tptp.'ket$'| (|tptp.'fun_app$p'| (|tptp.'fun_app$q'| |tptp.'pair$'| |tptp.'i$'|) |tptp.'j$'|))))) (= (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| (|tptp.'tensor_op$'| |tptp.'a$'| |tptp.'b1$'|)) (|tptp.'fun_app$o'| |tptp.'ket$'| (|tptp.'fun_app$p'| (|tptp.'fun_app$q'| |tptp.'pair$'| |tptp.'i$'|) |tptp.'j$'|))) (|tptp.'tensor_ell2$'| (|tptp.'fun_app$t'| (|tptp.'cblinfun_apply$a'| |tptp.'a$'|) (|tptp.'ket$a'| |tptp.'i$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b1$'|) (|tptp.'ket$b'| |tptp.'j$'|)))) (= (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| (|tptp.'tensor_op$'| |tptp.'a$'| |tptp.'b2$'|)) (|tptp.'fun_app$o'| |tptp.'ket$'| (|tptp.'fun_app$p'| (|tptp.'fun_app$q'| |tptp.'pair$'| |tptp.'i$'|) |tptp.'j$'|))) (|tptp.'tensor_ell2$'| (|tptp.'fun_app$t'| (|tptp.'cblinfun_apply$a'| |tptp.'a$'|) (|tptp.'ket$a'| |tptp.'i$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b2$'|) (|tptp.'ket$b'| |tptp.'j$'|)))))) (= (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| (|tptp.'tensor_op$'| |tptp.'a$'| (|tptp.'fun_app$m'| (|tptp.'fun_app$n'| |tptp.'plus$a'| |tptp.'b1$'|) |tptp.'b2$'|))) (|tptp.'fun_app$o'| |tptp.'ket$'| (|tptp.'fun_app$p'| (|tptp.'fun_app$q'| |tptp.'pair$'| |tptp.'i$'|) |tptp.'j$'|))) (|tptp.'tensor_ell2$'| (|tptp.'fun_app$t'| (|tptp.'cblinfun_apply$a'| |tptp.'a$'|) (|tptp.'ket$a'| |tptp.'i$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| (|tptp.'fun_app$m'| (|tptp.'fun_app$n'| |tptp.'plus$a'| |tptp.'b1$'|) |tptp.'b2$'|)) (|tptp.'ket$b'| |tptp.'j$'|))))) :rule and_pos)
% 1.07/1.27 (step t44.t5 (cl (not (and (= (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| (|tptp.'tensor_op$'| |tptp.'a$'| (|tptp.'fun_app$m'| (|tptp.'fun_app$n'| |tptp.'plus$a'| |tptp.'b1$'|) |tptp.'b2$'|))) (|tptp.'fun_app$o'| |tptp.'ket$'| (|tptp.'fun_app$p'| (|tptp.'fun_app$q'| |tptp.'pair$'| |tptp.'i$'|) |tptp.'j$'|))) (|tptp.'tensor_ell2$'| (|tptp.'fun_app$t'| (|tptp.'cblinfun_apply$a'| |tptp.'a$'|) (|tptp.'ket$a'| |tptp.'i$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| (|tptp.'fun_app$m'| (|tptp.'fun_app$n'| |tptp.'plus$a'| |tptp.'b1$'|) |tptp.'b2$'|)) (|tptp.'ket$b'| |tptp.'j$'|)))) (= (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| (|tptp.'fun_app$m'| (|tptp.'fun_app$n'| |tptp.'plus$a'| |tptp.'b1$'|) |tptp.'b2$'|)) (|tptp.'ket$b'| |tptp.'j$'|)) (|tptp.'plus$i'| (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b1$'|) (|tptp.'ket$b'| |tptp.'j$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b2$'|) (|tptp.'ket$b'| |tptp.'j$'|)))) (not (= (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| (|tptp.'tensor_op$'| |tptp.'a$'| (|tptp.'fun_app$m'| (|tptp.'fun_app$n'| |tptp.'plus$a'| |tptp.'b1$'|) |tptp.'b2$'|))) (|tptp.'fun_app$o'| |tptp.'ket$'| (|tptp.'fun_app$p'| (|tptp.'fun_app$q'| |tptp.'pair$'| |tptp.'i$'|) |tptp.'j$'|))) (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| (|tptp.'fun_app$r'| (|tptp.'fun_app$s'| |tptp.'plus$b'| (|tptp.'tensor_op$'| |tptp.'a$'| |tptp.'b1$'|)) (|tptp.'tensor_op$'| |tptp.'a$'| |tptp.'b2$'|))) (|tptp.'fun_app$o'| |tptp.'ket$'| (|tptp.'fun_app$p'| (|tptp.'fun_app$q'| |tptp.'pair$'| |tptp.'i$'|) |tptp.'j$'|))))) (= (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| (|tptp.'fun_app$r'| (|tptp.'fun_app$s'| |tptp.'plus$b'| (|tptp.'tensor_op$'| |tptp.'a$'| |tptp.'b1$'|)) (|tptp.'tensor_op$'| |tptp.'a$'| |tptp.'b2$'|))) (|tptp.'fun_app$o'| |tptp.'ket$'| (|tptp.'fun_app$p'| (|tptp.'fun_app$q'| |tptp.'pair$'| |tptp.'i$'|) |tptp.'j$'|))) (|tptp.'plus$u'| (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| (|tptp.'tensor_op$'| |tptp.'a$'| |tptp.'b1$'|)) (|tptp.'fun_app$o'| |tptp.'ket$'| (|tptp.'fun_app$p'| (|tptp.'fun_app$q'| |tptp.'pair$'| |tptp.'i$'|) |tptp.'j$'|))) (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| (|tptp.'tensor_op$'| |tptp.'a$'| |tptp.'b2$'|)) (|tptp.'fun_app$o'| |tptp.'ket$'| (|tptp.'fun_app$p'| (|tptp.'fun_app$q'| |tptp.'pair$'| |tptp.'i$'|) |tptp.'j$'|))))) (= (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| (|tptp.'tensor_op$'| |tptp.'a$'| |tptp.'b1$'|)) (|tptp.'fun_app$o'| |tptp.'ket$'| (|tptp.'fun_app$p'| (|tptp.'fun_app$q'| |tptp.'pair$'| |tptp.'i$'|) |tptp.'j$'|))) (|tptp.'tensor_ell2$'| (|tptp.'fun_app$t'| (|tptp.'cblinfun_apply$a'| |tptp.'a$'|) (|tptp.'ket$a'| |tptp.'i$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b1$'|) (|tptp.'ket$b'| |tptp.'j$'|)))) (= (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| (|tptp.'tensor_op$'| |tptp.'a$'| |tptp.'b2$'|)) (|tptp.'fun_app$o'| |tptp.'ket$'| (|tptp.'fun_app$p'| (|tptp.'fun_app$q'| |tptp.'pair$'| |tptp.'i$'|) |tptp.'j$'|))) (|tptp.'tensor_ell2$'| (|tptp.'fun_app$t'| (|tptp.'cblinfun_apply$a'| |tptp.'a$'|) (|tptp.'ket$a'| |tptp.'i$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b2$'|) (|tptp.'ket$b'| |tptp.'j$'|)))))) (= (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| (|tptp.'fun_app$m'| (|tptp.'fun_app$n'| |tptp.'plus$a'| |tptp.'b1$'|) |tptp.'b2$'|)) (|tptp.'ket$b'| |tptp.'j$'|)) (|tptp.'plus$i'| (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b1$'|) (|tptp.'ket$b'| |tptp.'j$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b2$'|) (|tptp.'ket$b'| |tptp.'j$'|))))) :rule and_pos)
% 1.07/1.27 (step t44.t6 (cl (not (and (= (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| (|tptp.'tensor_op$'| |tptp.'a$'| (|tptp.'fun_app$m'| (|tptp.'fun_app$n'| |tptp.'plus$a'| |tptp.'b1$'|) |tptp.'b2$'|))) (|tptp.'fun_app$o'| |tptp.'ket$'| (|tptp.'fun_app$p'| (|tptp.'fun_app$q'| |tptp.'pair$'| |tptp.'i$'|) |tptp.'j$'|))) (|tptp.'tensor_ell2$'| (|tptp.'fun_app$t'| (|tptp.'cblinfun_apply$a'| |tptp.'a$'|) (|tptp.'ket$a'| |tptp.'i$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| (|tptp.'fun_app$m'| (|tptp.'fun_app$n'| |tptp.'plus$a'| |tptp.'b1$'|) |tptp.'b2$'|)) (|tptp.'ket$b'| |tptp.'j$'|)))) (= (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| (|tptp.'fun_app$m'| (|tptp.'fun_app$n'| |tptp.'plus$a'| |tptp.'b1$'|) |tptp.'b2$'|)) (|tptp.'ket$b'| |tptp.'j$'|)) (|tptp.'plus$i'| (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b1$'|) (|tptp.'ket$b'| |tptp.'j$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b2$'|) (|tptp.'ket$b'| |tptp.'j$'|)))) (not (= (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| (|tptp.'tensor_op$'| |tptp.'a$'| (|tptp.'fun_app$m'| (|tptp.'fun_app$n'| |tptp.'plus$a'| |tptp.'b1$'|) |tptp.'b2$'|))) (|tptp.'fun_app$o'| |tptp.'ket$'| (|tptp.'fun_app$p'| (|tptp.'fun_app$q'| |tptp.'pair$'| |tptp.'i$'|) |tptp.'j$'|))) (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| (|tptp.'fun_app$r'| (|tptp.'fun_app$s'| |tptp.'plus$b'| (|tptp.'tensor_op$'| |tptp.'a$'| |tptp.'b1$'|)) (|tptp.'tensor_op$'| |tptp.'a$'| |tptp.'b2$'|))) (|tptp.'fun_app$o'| |tptp.'ket$'| (|tptp.'fun_app$p'| (|tptp.'fun_app$q'| |tptp.'pair$'| |tptp.'i$'|) |tptp.'j$'|))))) (= (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| (|tptp.'fun_app$r'| (|tptp.'fun_app$s'| |tptp.'plus$b'| (|tptp.'tensor_op$'| |tptp.'a$'| |tptp.'b1$'|)) (|tptp.'tensor_op$'| |tptp.'a$'| |tptp.'b2$'|))) (|tptp.'fun_app$o'| |tptp.'ket$'| (|tptp.'fun_app$p'| (|tptp.'fun_app$q'| |tptp.'pair$'| |tptp.'i$'|) |tptp.'j$'|))) (|tptp.'plus$u'| (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| (|tptp.'tensor_op$'| |tptp.'a$'| |tptp.'b1$'|)) (|tptp.'fun_app$o'| |tptp.'ket$'| (|tptp.'fun_app$p'| (|tptp.'fun_app$q'| |tptp.'pair$'| |tptp.'i$'|) |tptp.'j$'|))) (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| (|tptp.'tensor_op$'| |tptp.'a$'| |tptp.'b2$'|)) (|tptp.'fun_app$o'| |tptp.'ket$'| (|tptp.'fun_app$p'| (|tptp.'fun_app$q'| |tptp.'pair$'| |tptp.'i$'|) |tptp.'j$'|))))) (= (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| (|tptp.'tensor_op$'| |tptp.'a$'| |tptp.'b1$'|)) (|tptp.'fun_app$o'| |tptp.'ket$'| (|tptp.'fun_app$p'| (|tptp.'fun_app$q'| |tptp.'pair$'| |tptp.'i$'|) |tptp.'j$'|))) (|tptp.'tensor_ell2$'| (|tptp.'fun_app$t'| (|tptp.'cblinfun_apply$a'| |tptp.'a$'|) (|tptp.'ket$a'| |tptp.'i$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b1$'|) (|tptp.'ket$b'| |tptp.'j$'|)))) (= (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| (|tptp.'tensor_op$'| |tptp.'a$'| |tptp.'b2$'|)) (|tptp.'fun_app$o'| |tptp.'ket$'| (|tptp.'fun_app$p'| (|tptp.'fun_app$q'| |tptp.'pair$'| |tptp.'i$'|) |tptp.'j$'|))) (|tptp.'tensor_ell2$'| (|tptp.'fun_app$t'| (|tptp.'cblinfun_apply$a'| |tptp.'a$'|) (|tptp.'ket$a'| |tptp.'i$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b2$'|) (|tptp.'ket$b'| |tptp.'j$'|)))))) (not (= (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| (|tptp.'tensor_op$'| |tptp.'a$'| (|tptp.'fun_app$m'| (|tptp.'fun_app$n'| |tptp.'plus$a'| |tptp.'b1$'|) |tptp.'b2$'|))) (|tptp.'fun_app$o'| |tptp.'ket$'| (|tptp.'fun_app$p'| (|tptp.'fun_app$q'| |tptp.'pair$'| |tptp.'i$'|) |tptp.'j$'|))) (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| (|tptp.'fun_app$r'| (|tptp.'fun_app$s'| |tptp.'plus$b'| (|tptp.'tensor_op$'| |tptp.'a$'| |tptp.'b1$'|)) (|tptp.'tensor_op$'| |tptp.'a$'| |tptp.'b2$'|))) (|tptp.'fun_app$o'| |tptp.'ket$'| (|tptp.'fun_app$p'| (|tptp.'fun_app$q'| |tptp.'pair$'| |tptp.'i$'|) |tptp.'j$'|)))))) :rule and_pos)
% 1.07/1.27 (step t44.t7 (cl (not (and (= (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| (|tptp.'tensor_op$'| |tptp.'a$'| (|tptp.'fun_app$m'| (|tptp.'fun_app$n'| |tptp.'plus$a'| |tptp.'b1$'|) |tptp.'b2$'|))) (|tptp.'fun_app$o'| |tptp.'ket$'| (|tptp.'fun_app$p'| (|tptp.'fun_app$q'| |tptp.'pair$'| |tptp.'i$'|) |tptp.'j$'|))) (|tptp.'tensor_ell2$'| (|tptp.'fun_app$t'| (|tptp.'cblinfun_apply$a'| |tptp.'a$'|) (|tptp.'ket$a'| |tptp.'i$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| (|tptp.'fun_app$m'| (|tptp.'fun_app$n'| |tptp.'plus$a'| |tptp.'b1$'|) |tptp.'b2$'|)) (|tptp.'ket$b'| |tptp.'j$'|)))) (= (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| (|tptp.'fun_app$m'| (|tptp.'fun_app$n'| |tptp.'plus$a'| |tptp.'b1$'|) |tptp.'b2$'|)) (|tptp.'ket$b'| |tptp.'j$'|)) (|tptp.'plus$i'| (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b1$'|) (|tptp.'ket$b'| |tptp.'j$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b2$'|) (|tptp.'ket$b'| |tptp.'j$'|)))) (not (= (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| (|tptp.'tensor_op$'| |tptp.'a$'| (|tptp.'fun_app$m'| (|tptp.'fun_app$n'| |tptp.'plus$a'| |tptp.'b1$'|) |tptp.'b2$'|))) (|tptp.'fun_app$o'| |tptp.'ket$'| (|tptp.'fun_app$p'| (|tptp.'fun_app$q'| |tptp.'pair$'| |tptp.'i$'|) |tptp.'j$'|))) (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| (|tptp.'fun_app$r'| (|tptp.'fun_app$s'| |tptp.'plus$b'| (|tptp.'tensor_op$'| |tptp.'a$'| |tptp.'b1$'|)) (|tptp.'tensor_op$'| |tptp.'a$'| |tptp.'b2$'|))) (|tptp.'fun_app$o'| |tptp.'ket$'| (|tptp.'fun_app$p'| (|tptp.'fun_app$q'| |tptp.'pair$'| |tptp.'i$'|) |tptp.'j$'|))))) (= (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| (|tptp.'fun_app$r'| (|tptp.'fun_app$s'| |tptp.'plus$b'| (|tptp.'tensor_op$'| |tptp.'a$'| |tptp.'b1$'|)) (|tptp.'tensor_op$'| |tptp.'a$'| |tptp.'b2$'|))) (|tptp.'fun_app$o'| |tptp.'ket$'| (|tptp.'fun_app$p'| (|tptp.'fun_app$q'| |tptp.'pair$'| |tptp.'i$'|) |tptp.'j$'|))) (|tptp.'plus$u'| (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| (|tptp.'tensor_op$'| |tptp.'a$'| |tptp.'b1$'|)) (|tptp.'fun_app$o'| |tptp.'ket$'| (|tptp.'fun_app$p'| (|tptp.'fun_app$q'| |tptp.'pair$'| |tptp.'i$'|) |tptp.'j$'|))) (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| (|tptp.'tensor_op$'| |tptp.'a$'| |tptp.'b2$'|)) (|tptp.'fun_app$o'| |tptp.'ket$'| (|tptp.'fun_app$p'| (|tptp.'fun_app$q'| |tptp.'pair$'| |tptp.'i$'|) |tptp.'j$'|))))) (= (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| (|tptp.'tensor_op$'| |tptp.'a$'| |tptp.'b1$'|)) (|tptp.'fun_app$o'| |tptp.'ket$'| (|tptp.'fun_app$p'| (|tptp.'fun_app$q'| |tptp.'pair$'| |tptp.'i$'|) |tptp.'j$'|))) (|tptp.'tensor_ell2$'| (|tptp.'fun_app$t'| (|tptp.'cblinfun_apply$a'| |tptp.'a$'|) (|tptp.'ket$a'| |tptp.'i$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b1$'|) (|tptp.'ket$b'| |tptp.'j$'|)))) (= (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| (|tptp.'tensor_op$'| |tptp.'a$'| |tptp.'b2$'|)) (|tptp.'fun_app$o'| |tptp.'ket$'| (|tptp.'fun_app$p'| (|tptp.'fun_app$q'| |tptp.'pair$'| |tptp.'i$'|) |tptp.'j$'|))) (|tptp.'tensor_ell2$'| (|tptp.'fun_app$t'| (|tptp.'cblinfun_apply$a'| |tptp.'a$'|) (|tptp.'ket$a'| |tptp.'i$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b2$'|) (|tptp.'ket$b'| |tptp.'j$'|)))))) (= (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| (|tptp.'fun_app$r'| (|tptp.'fun_app$s'| |tptp.'plus$b'| (|tptp.'tensor_op$'| |tptp.'a$'| |tptp.'b1$'|)) (|tptp.'tensor_op$'| |tptp.'a$'| |tptp.'b2$'|))) (|tptp.'fun_app$o'| |tptp.'ket$'| (|tptp.'fun_app$p'| (|tptp.'fun_app$q'| |tptp.'pair$'| |tptp.'i$'|) |tptp.'j$'|))) (|tptp.'plus$u'| (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| (|tptp.'tensor_op$'| |tptp.'a$'| |tptp.'b1$'|)) (|tptp.'fun_app$o'| |tptp.'ket$'| (|tptp.'fun_app$p'| (|tptp.'fun_app$q'| |tptp.'pair$'| |tptp.'i$'|) |tptp.'j$'|))) (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| (|tptp.'tensor_op$'| |tptp.'a$'| |tptp.'b2$'|)) (|tptp.'fun_app$o'| |tptp.'ket$'| (|tptp.'fun_app$p'| (|tptp.'fun_app$q'| |tptp.'pair$'| |tptp.'i$'|) |tptp.'j$'|)))))) :rule and_pos)
% 1.07/1.27 (step t44.t8 (cl (not (and (= (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| (|tptp.'tensor_op$'| |tptp.'a$'| (|tptp.'fun_app$m'| (|tptp.'fun_app$n'| |tptp.'plus$a'| |tptp.'b1$'|) |tptp.'b2$'|))) (|tptp.'fun_app$o'| |tptp.'ket$'| (|tptp.'fun_app$p'| (|tptp.'fun_app$q'| |tptp.'pair$'| |tptp.'i$'|) |tptp.'j$'|))) (|tptp.'tensor_ell2$'| (|tptp.'fun_app$t'| (|tptp.'cblinfun_apply$a'| |tptp.'a$'|) (|tptp.'ket$a'| |tptp.'i$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| (|tptp.'fun_app$m'| (|tptp.'fun_app$n'| |tptp.'plus$a'| |tptp.'b1$'|) |tptp.'b2$'|)) (|tptp.'ket$b'| |tptp.'j$'|)))) (= (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| (|tptp.'fun_app$m'| (|tptp.'fun_app$n'| |tptp.'plus$a'| |tptp.'b1$'|) |tptp.'b2$'|)) (|tptp.'ket$b'| |tptp.'j$'|)) (|tptp.'plus$i'| (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b1$'|) (|tptp.'ket$b'| |tptp.'j$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b2$'|) (|tptp.'ket$b'| |tptp.'j$'|)))) (not (= (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| (|tptp.'tensor_op$'| |tptp.'a$'| (|tptp.'fun_app$m'| (|tptp.'fun_app$n'| |tptp.'plus$a'| |tptp.'b1$'|) |tptp.'b2$'|))) (|tptp.'fun_app$o'| |tptp.'ket$'| (|tptp.'fun_app$p'| (|tptp.'fun_app$q'| |tptp.'pair$'| |tptp.'i$'|) |tptp.'j$'|))) (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| (|tptp.'fun_app$r'| (|tptp.'fun_app$s'| |tptp.'plus$b'| (|tptp.'tensor_op$'| |tptp.'a$'| |tptp.'b1$'|)) (|tptp.'tensor_op$'| |tptp.'a$'| |tptp.'b2$'|))) (|tptp.'fun_app$o'| |tptp.'ket$'| (|tptp.'fun_app$p'| (|tptp.'fun_app$q'| |tptp.'pair$'| |tptp.'i$'|) |tptp.'j$'|))))) (= (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| (|tptp.'fun_app$r'| (|tptp.'fun_app$s'| |tptp.'plus$b'| (|tptp.'tensor_op$'| |tptp.'a$'| |tptp.'b1$'|)) (|tptp.'tensor_op$'| |tptp.'a$'| |tptp.'b2$'|))) (|tptp.'fun_app$o'| |tptp.'ket$'| (|tptp.'fun_app$p'| (|tptp.'fun_app$q'| |tptp.'pair$'| |tptp.'i$'|) |tptp.'j$'|))) (|tptp.'plus$u'| (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| (|tptp.'tensor_op$'| |tptp.'a$'| |tptp.'b1$'|)) (|tptp.'fun_app$o'| |tptp.'ket$'| (|tptp.'fun_app$p'| (|tptp.'fun_app$q'| |tptp.'pair$'| |tptp.'i$'|) |tptp.'j$'|))) (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| (|tptp.'tensor_op$'| |tptp.'a$'| |tptp.'b2$'|)) (|tptp.'fun_app$o'| |tptp.'ket$'| (|tptp.'fun_app$p'| (|tptp.'fun_app$q'| |tptp.'pair$'| |tptp.'i$'|) |tptp.'j$'|))))) (= (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| (|tptp.'tensor_op$'| |tptp.'a$'| |tptp.'b1$'|)) (|tptp.'fun_app$o'| |tptp.'ket$'| (|tptp.'fun_app$p'| (|tptp.'fun_app$q'| |tptp.'pair$'| |tptp.'i$'|) |tptp.'j$'|))) (|tptp.'tensor_ell2$'| (|tptp.'fun_app$t'| (|tptp.'cblinfun_apply$a'| |tptp.'a$'|) (|tptp.'ket$a'| |tptp.'i$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b1$'|) (|tptp.'ket$b'| |tptp.'j$'|)))) (= (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| (|tptp.'tensor_op$'| |tptp.'a$'| |tptp.'b2$'|)) (|tptp.'fun_app$o'| |tptp.'ket$'| (|tptp.'fun_app$p'| (|tptp.'fun_app$q'| |tptp.'pair$'| |tptp.'i$'|) |tptp.'j$'|))) (|tptp.'tensor_ell2$'| (|tptp.'fun_app$t'| (|tptp.'cblinfun_apply$a'| |tptp.'a$'|) (|tptp.'ket$a'| |tptp.'i$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b2$'|) (|tptp.'ket$b'| |tptp.'j$'|)))))) (= (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| (|tptp.'tensor_op$'| |tptp.'a$'| |tptp.'b1$'|)) (|tptp.'fun_app$o'| |tptp.'ket$'| (|tptp.'fun_app$p'| (|tptp.'fun_app$q'| |tptp.'pair$'| |tptp.'i$'|) |tptp.'j$'|))) (|tptp.'tensor_ell2$'| (|tptp.'fun_app$t'| (|tptp.'cblinfun_apply$a'| |tptp.'a$'|) (|tptp.'ket$a'| |tptp.'i$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b1$'|) (|tptp.'ket$b'| |tptp.'j$'|))))) :rule and_pos)
% 1.07/1.27 (step t44.t9 (cl (not (and (= (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| (|tptp.'tensor_op$'| |tptp.'a$'| (|tptp.'fun_app$m'| (|tptp.'fun_app$n'| |tptp.'plus$a'| |tptp.'b1$'|) |tptp.'b2$'|))) (|tptp.'fun_app$o'| |tptp.'ket$'| (|tptp.'fun_app$p'| (|tptp.'fun_app$q'| |tptp.'pair$'| |tptp.'i$'|) |tptp.'j$'|))) (|tptp.'tensor_ell2$'| (|tptp.'fun_app$t'| (|tptp.'cblinfun_apply$a'| |tptp.'a$'|) (|tptp.'ket$a'| |tptp.'i$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| (|tptp.'fun_app$m'| (|tptp.'fun_app$n'| |tptp.'plus$a'| |tptp.'b1$'|) |tptp.'b2$'|)) (|tptp.'ket$b'| |tptp.'j$'|)))) (= (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| (|tptp.'fun_app$m'| (|tptp.'fun_app$n'| |tptp.'plus$a'| |tptp.'b1$'|) |tptp.'b2$'|)) (|tptp.'ket$b'| |tptp.'j$'|)) (|tptp.'plus$i'| (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b1$'|) (|tptp.'ket$b'| |tptp.'j$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b2$'|) (|tptp.'ket$b'| |tptp.'j$'|)))) (not (= (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| (|tptp.'tensor_op$'| |tptp.'a$'| (|tptp.'fun_app$m'| (|tptp.'fun_app$n'| |tptp.'plus$a'| |tptp.'b1$'|) |tptp.'b2$'|))) (|tptp.'fun_app$o'| |tptp.'ket$'| (|tptp.'fun_app$p'| (|tptp.'fun_app$q'| |tptp.'pair$'| |tptp.'i$'|) |tptp.'j$'|))) (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| (|tptp.'fun_app$r'| (|tptp.'fun_app$s'| |tptp.'plus$b'| (|tptp.'tensor_op$'| |tptp.'a$'| |tptp.'b1$'|)) (|tptp.'tensor_op$'| |tptp.'a$'| |tptp.'b2$'|))) (|tptp.'fun_app$o'| |tptp.'ket$'| (|tptp.'fun_app$p'| (|tptp.'fun_app$q'| |tptp.'pair$'| |tptp.'i$'|) |tptp.'j$'|))))) (= (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| (|tptp.'fun_app$r'| (|tptp.'fun_app$s'| |tptp.'plus$b'| (|tptp.'tensor_op$'| |tptp.'a$'| |tptp.'b1$'|)) (|tptp.'tensor_op$'| |tptp.'a$'| |tptp.'b2$'|))) (|tptp.'fun_app$o'| |tptp.'ket$'| (|tptp.'fun_app$p'| (|tptp.'fun_app$q'| |tptp.'pair$'| |tptp.'i$'|) |tptp.'j$'|))) (|tptp.'plus$u'| (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| (|tptp.'tensor_op$'| |tptp.'a$'| |tptp.'b1$'|)) (|tptp.'fun_app$o'| |tptp.'ket$'| (|tptp.'fun_app$p'| (|tptp.'fun_app$q'| |tptp.'pair$'| |tptp.'i$'|) |tptp.'j$'|))) (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| (|tptp.'tensor_op$'| |tptp.'a$'| |tptp.'b2$'|)) (|tptp.'fun_app$o'| |tptp.'ket$'| (|tptp.'fun_app$p'| (|tptp.'fun_app$q'| |tptp.'pair$'| |tptp.'i$'|) |tptp.'j$'|))))) (= (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| (|tptp.'tensor_op$'| |tptp.'a$'| |tptp.'b1$'|)) (|tptp.'fun_app$o'| |tptp.'ket$'| (|tptp.'fun_app$p'| (|tptp.'fun_app$q'| |tptp.'pair$'| |tptp.'i$'|) |tptp.'j$'|))) (|tptp.'tensor_ell2$'| (|tptp.'fun_app$t'| (|tptp.'cblinfun_apply$a'| |tptp.'a$'|) (|tptp.'ket$a'| |tptp.'i$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b1$'|) (|tptp.'ket$b'| |tptp.'j$'|)))) (= (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| (|tptp.'tensor_op$'| |tptp.'a$'| |tptp.'b2$'|)) (|tptp.'fun_app$o'| |tptp.'ket$'| (|tptp.'fun_app$p'| (|tptp.'fun_app$q'| |tptp.'pair$'| |tptp.'i$'|) |tptp.'j$'|))) (|tptp.'tensor_ell2$'| (|tptp.'fun_app$t'| (|tptp.'cblinfun_apply$a'| |tptp.'a$'|) (|tptp.'ket$a'| |tptp.'i$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b2$'|) (|tptp.'ket$b'| |tptp.'j$'|)))))) (= (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| (|tptp.'tensor_op$'| |tptp.'a$'| |tptp.'b2$'|)) (|tptp.'fun_app$o'| |tptp.'ket$'| (|tptp.'fun_app$p'| (|tptp.'fun_app$q'| |tptp.'pair$'| |tptp.'i$'|) |tptp.'j$'|))) (|tptp.'tensor_ell2$'| (|tptp.'fun_app$t'| (|tptp.'cblinfun_apply$a'| |tptp.'a$'|) (|tptp.'ket$a'| |tptp.'i$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b2$'|) (|tptp.'ket$b'| |tptp.'j$'|))))) :rule and_pos)
% 1.07/1.27 (step t44.t10 (cl (not (= (|tptp.'tensor_ell2$'| (|tptp.'fun_app$t'| (|tptp.'cblinfun_apply$a'| |tptp.'a$'|) (|tptp.'ket$a'| |tptp.'i$'|)) (|tptp.'plus$i'| (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b1$'|) (|tptp.'ket$b'| |tptp.'j$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b2$'|) (|tptp.'ket$b'| |tptp.'j$'|)))) (|tptp.'plus$u'| (|tptp.'tensor_ell2$'| (|tptp.'fun_app$t'| (|tptp.'cblinfun_apply$a'| |tptp.'a$'|) (|tptp.'ket$a'| |tptp.'i$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b1$'|) (|tptp.'ket$b'| |tptp.'j$'|))) (|tptp.'tensor_ell2$'| (|tptp.'fun_app$t'| (|tptp.'cblinfun_apply$a'| |tptp.'a$'|) (|tptp.'ket$a'| |tptp.'i$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b2$'|) (|tptp.'ket$b'| |tptp.'j$'|)))))) (not (and (= (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| (|tptp.'tensor_op$'| |tptp.'a$'| (|tptp.'fun_app$m'| (|tptp.'fun_app$n'| |tptp.'plus$a'| |tptp.'b1$'|) |tptp.'b2$'|))) (|tptp.'fun_app$o'| |tptp.'ket$'| (|tptp.'fun_app$p'| (|tptp.'fun_app$q'| |tptp.'pair$'| |tptp.'i$'|) |tptp.'j$'|))) (|tptp.'tensor_ell2$'| (|tptp.'fun_app$t'| (|tptp.'cblinfun_apply$a'| |tptp.'a$'|) (|tptp.'ket$a'| |tptp.'i$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| (|tptp.'fun_app$m'| (|tptp.'fun_app$n'| |tptp.'plus$a'| |tptp.'b1$'|) |tptp.'b2$'|)) (|tptp.'ket$b'| |tptp.'j$'|)))) (= (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| (|tptp.'fun_app$m'| (|tptp.'fun_app$n'| |tptp.'plus$a'| |tptp.'b1$'|) |tptp.'b2$'|)) (|tptp.'ket$b'| |tptp.'j$'|)) (|tptp.'plus$i'| (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b1$'|) (|tptp.'ket$b'| |tptp.'j$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b2$'|) (|tptp.'ket$b'| |tptp.'j$'|)))) (not (= (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| (|tptp.'tensor_op$'| |tptp.'a$'| (|tptp.'fun_app$m'| (|tptp.'fun_app$n'| |tptp.'plus$a'| |tptp.'b1$'|) |tptp.'b2$'|))) (|tptp.'fun_app$o'| |tptp.'ket$'| (|tptp.'fun_app$p'| (|tptp.'fun_app$q'| |tptp.'pair$'| |tptp.'i$'|) |tptp.'j$'|))) (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| (|tptp.'fun_app$r'| (|tptp.'fun_app$s'| |tptp.'plus$b'| (|tptp.'tensor_op$'| |tptp.'a$'| |tptp.'b1$'|)) (|tptp.'tensor_op$'| |tptp.'a$'| |tptp.'b2$'|))) (|tptp.'fun_app$o'| |tptp.'ket$'| (|tptp.'fun_app$p'| (|tptp.'fun_app$q'| |tptp.'pair$'| |tptp.'i$'|) |tptp.'j$'|))))) (= (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| (|tptp.'fun_app$r'| (|tptp.'fun_app$s'| |tptp.'plus$b'| (|tptp.'tensor_op$'| |tptp.'a$'| |tptp.'b1$'|)) (|tptp.'tensor_op$'| |tptp.'a$'| |tptp.'b2$'|))) (|tptp.'fun_app$o'| |tptp.'ket$'| (|tptp.'fun_app$p'| (|tptp.'fun_app$q'| |tptp.'pair$'| |tptp.'i$'|) |tptp.'j$'|))) (|tptp.'plus$u'| (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| (|tptp.'tensor_op$'| |tptp.'a$'| |tptp.'b1$'|)) (|tptp.'fun_app$o'| |tptp.'ket$'| (|tptp.'fun_app$p'| (|tptp.'fun_app$q'| |tptp.'pair$'| |tptp.'i$'|) |tptp.'j$'|))) (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| (|tptp.'tensor_op$'| |tptp.'a$'| |tptp.'b2$'|)) (|tptp.'fun_app$o'| |tptp.'ket$'| (|tptp.'fun_app$p'| (|tptp.'fun_app$q'| |tptp.'pair$'| |tptp.'i$'|) |tptp.'j$'|))))) (= (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| (|tptp.'tensor_op$'| |tptp.'a$'| |tptp.'b1$'|)) (|tptp.'fun_app$o'| |tptp.'ket$'| (|tptp.'fun_app$p'| (|tptp.'fun_app$q'| |tptp.'pair$'| |tptp.'i$'|) |tptp.'j$'|))) (|tptp.'tensor_ell2$'| (|tptp.'fun_app$t'| (|tptp.'cblinfun_apply$a'| |tptp.'a$'|) (|tptp.'ket$a'| |tptp.'i$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b1$'|) (|tptp.'ket$b'| |tptp.'j$'|)))) (= (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| (|tptp.'tensor_op$'| |tptp.'a$'| |tptp.'b2$'|)) (|tptp.'fun_app$o'| |tptp.'ket$'| (|tptp.'fun_app$p'| (|tptp.'fun_app$q'| |tptp.'pair$'| |tptp.'i$'|) |tptp.'j$'|))) (|tptp.'tensor_ell2$'| (|tptp.'fun_app$t'| (|tptp.'cblinfun_apply$a'| |tptp.'a$'|) (|tptp.'ket$a'| |tptp.'i$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b2$'|) (|tptp.'ket$b'| |tptp.'j$'|)))))) (not (and (= (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| (|tptp.'tensor_op$'| |tptp.'a$'| (|tptp.'fun_app$m'| (|tptp.'fun_app$n'| |tptp.'plus$a'| |tptp.'b1$'|) |tptp.'b2$'|))) (|tptp.'fun_app$o'| |tptp.'ket$'| (|tptp.'fun_app$p'| (|tptp.'fun_app$q'| |tptp.'pair$'| |tptp.'i$'|) |tptp.'j$'|))) (|tptp.'tensor_ell2$'| (|tptp.'fun_app$t'| (|tptp.'cblinfun_apply$a'| |tptp.'a$'|) (|tptp.'ket$a'| |tptp.'i$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| (|tptp.'fun_app$m'| (|tptp.'fun_app$n'| |tptp.'plus$a'| |tptp.'b1$'|) |tptp.'b2$'|)) (|tptp.'ket$b'| |tptp.'j$'|)))) (= (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| (|tptp.'fun_app$m'| (|tptp.'fun_app$n'| |tptp.'plus$a'| |tptp.'b1$'|) |tptp.'b2$'|)) (|tptp.'ket$b'| |tptp.'j$'|)) (|tptp.'plus$i'| (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b1$'|) (|tptp.'ket$b'| |tptp.'j$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b2$'|) (|tptp.'ket$b'| |tptp.'j$'|)))) (not (= (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| (|tptp.'tensor_op$'| |tptp.'a$'| (|tptp.'fun_app$m'| (|tptp.'fun_app$n'| |tptp.'plus$a'| |tptp.'b1$'|) |tptp.'b2$'|))) (|tptp.'fun_app$o'| |tptp.'ket$'| (|tptp.'fun_app$p'| (|tptp.'fun_app$q'| |tptp.'pair$'| |tptp.'i$'|) |tptp.'j$'|))) (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| (|tptp.'fun_app$r'| (|tptp.'fun_app$s'| |tptp.'plus$b'| (|tptp.'tensor_op$'| |tptp.'a$'| |tptp.'b1$'|)) (|tptp.'tensor_op$'| |tptp.'a$'| |tptp.'b2$'|))) (|tptp.'fun_app$o'| |tptp.'ket$'| (|tptp.'fun_app$p'| (|tptp.'fun_app$q'| |tptp.'pair$'| |tptp.'i$'|) |tptp.'j$'|))))) (= (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| (|tptp.'fun_app$r'| (|tptp.'fun_app$s'| |tptp.'plus$b'| (|tptp.'tensor_op$'| |tptp.'a$'| |tptp.'b1$'|)) (|tptp.'tensor_op$'| |tptp.'a$'| |tptp.'b2$'|))) (|tptp.'fun_app$o'| |tptp.'ket$'| (|tptp.'fun_app$p'| (|tptp.'fun_app$q'| |tptp.'pair$'| |tptp.'i$'|) |tptp.'j$'|))) (|tptp.'plus$u'| (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| (|tptp.'tensor_op$'| |tptp.'a$'| |tptp.'b1$'|)) (|tptp.'fun_app$o'| |tptp.'ket$'| (|tptp.'fun_app$p'| (|tptp.'fun_app$q'| |tptp.'pair$'| |tptp.'i$'|) |tptp.'j$'|))) (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| (|tptp.'tensor_op$'| |tptp.'a$'| |tptp.'b2$'|)) (|tptp.'fun_app$o'| |tptp.'ket$'| (|tptp.'fun_app$p'| (|tptp.'fun_app$q'| |tptp.'pair$'| |tptp.'i$'|) |tptp.'j$'|))))) (= (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| (|tptp.'tensor_op$'| |tptp.'a$'| |tptp.'b1$'|)) (|tptp.'fun_app$o'| |tptp.'ket$'| (|tptp.'fun_app$p'| (|tptp.'fun_app$q'| |tptp.'pair$'| |tptp.'i$'|) |tptp.'j$'|))) (|tptp.'tensor_ell2$'| (|tptp.'fun_app$t'| (|tptp.'cblinfun_apply$a'| |tptp.'a$'|) (|tptp.'ket$a'| |tptp.'i$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b1$'|) (|tptp.'ket$b'| |tptp.'j$'|)))) (= (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| (|tptp.'tensor_op$'| |tptp.'a$'| |tptp.'b2$'|)) (|tptp.'fun_app$o'| |tptp.'ket$'| (|tptp.'fun_app$p'| (|tptp.'fun_app$q'| |tptp.'pair$'| |tptp.'i$'|) |tptp.'j$'|))) (|tptp.'tensor_ell2$'| (|tptp.'fun_app$t'| (|tptp.'cblinfun_apply$a'| |tptp.'a$'|) (|tptp.'ket$a'| |tptp.'i$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b2$'|) (|tptp.'ket$b'| |tptp.'j$'|)))))) (not (and (= (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| (|tptp.'tensor_op$'| |tptp.'a$'| (|tptp.'fun_app$m'| (|tptp.'fun_app$n'| |tptp.'plus$a'| |tptp.'b1$'|) |tptp.'b2$'|))) (|tptp.'fun_app$o'| |tptp.'ket$'| (|tptp.'fun_app$p'| (|tptp.'fun_app$q'| |tptp.'pair$'| |tptp.'i$'|) |tptp.'j$'|))) (|tptp.'tensor_ell2$'| (|tptp.'fun_app$t'| (|tptp.'cblinfun_apply$a'| |tptp.'a$'|) (|tptp.'ket$a'| |tptp.'i$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| (|tptp.'fun_app$m'| (|tptp.'fun_app$n'| |tptp.'plus$a'| |tptp.'b1$'|) |tptp.'b2$'|)) (|tptp.'ket$b'| |tptp.'j$'|)))) (= (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| (|tptp.'fun_app$m'| (|tptp.'fun_app$n'| |tptp.'plus$a'| |tptp.'b1$'|) |tptp.'b2$'|)) (|tptp.'ket$b'| |tptp.'j$'|)) (|tptp.'plus$i'| (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b1$'|) (|tptp.'ket$b'| |tptp.'j$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b2$'|) (|tptp.'ket$b'| |tptp.'j$'|)))) (not (= (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| (|tptp.'tensor_op$'| |tptp.'a$'| (|tptp.'fun_app$m'| (|tptp.'fun_app$n'| |tptp.'plus$a'| |tptp.'b1$'|) |tptp.'b2$'|))) (|tptp.'fun_app$o'| |tptp.'ket$'| (|tptp.'fun_app$p'| (|tptp.'fun_app$q'| |tptp.'pair$'| |tptp.'i$'|) |tptp.'j$'|))) (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| (|tptp.'fun_app$r'| (|tptp.'fun_app$s'| |tptp.'plus$b'| (|tptp.'tensor_op$'| |tptp.'a$'| |tptp.'b1$'|)) (|tptp.'tensor_op$'| |tptp.'a$'| |tptp.'b2$'|))) (|tptp.'fun_app$o'| |tptp.'ket$'| (|tptp.'fun_app$p'| (|tptp.'fun_app$q'| |tptp.'pair$'| |tptp.'i$'|) |tptp.'j$'|))))) (= (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| (|tptp.'fun_app$r'| (|tptp.'fun_app$s'| |tptp.'plus$b'| (|tptp.'tensor_op$'| |tptp.'a$'| |tptp.'b1$'|)) (|tptp.'tensor_op$'| |tptp.'a$'| |tptp.'b2$'|))) (|tptp.'fun_app$o'| |tptp.'ket$'| (|tptp.'fun_app$p'| (|tptp.'fun_app$q'| |tptp.'pair$'| |tptp.'i$'|) |tptp.'j$'|))) (|tptp.'plus$u'| (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| (|tptp.'tensor_op$'| |tptp.'a$'| |tptp.'b1$'|)) (|tptp.'fun_app$o'| |tptp.'ket$'| (|tptp.'fun_app$p'| (|tptp.'fun_app$q'| |tptp.'pair$'| |tptp.'i$'|) |tptp.'j$'|))) (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| (|tptp.'tensor_op$'| |tptp.'a$'| |tptp.'b2$'|)) (|tptp.'fun_app$o'| |tptp.'ket$'| (|tptp.'fun_app$p'| (|tptp.'fun_app$q'| |tptp.'pair$'| |tptp.'i$'|) |tptp.'j$'|))))) (= (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| (|tptp.'tensor_op$'| |tptp.'a$'| |tptp.'b1$'|)) (|tptp.'fun_app$o'| |tptp.'ket$'| (|tptp.'fun_app$p'| (|tptp.'fun_app$q'| |tptp.'pair$'| |tptp.'i$'|) |tptp.'j$'|))) (|tptp.'tensor_ell2$'| (|tptp.'fun_app$t'| (|tptp.'cblinfun_apply$a'| |tptp.'a$'|) (|tptp.'ket$a'| |tptp.'i$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b1$'|) (|tptp.'ket$b'| |tptp.'j$'|)))) (= (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| (|tptp.'tensor_op$'| |tptp.'a$'| |tptp.'b2$'|)) (|tptp.'fun_app$o'| |tptp.'ket$'| (|tptp.'fun_app$p'| (|tptp.'fun_app$q'| |tptp.'pair$'| |tptp.'i$'|) |tptp.'j$'|))) (|tptp.'tensor_ell2$'| (|tptp.'fun_app$t'| (|tptp.'cblinfun_apply$a'| |tptp.'a$'|) (|tptp.'ket$a'| |tptp.'i$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b2$'|) (|tptp.'ket$b'| |tptp.'j$'|)))))) (not (and (= (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| (|tptp.'tensor_op$'| |tptp.'a$'| (|tptp.'fun_app$m'| (|tptp.'fun_app$n'| |tptp.'plus$a'| |tptp.'b1$'|) |tptp.'b2$'|))) (|tptp.'fun_app$o'| |tptp.'ket$'| (|tptp.'fun_app$p'| (|tptp.'fun_app$q'| |tptp.'pair$'| |tptp.'i$'|) |tptp.'j$'|))) (|tptp.'tensor_ell2$'| (|tptp.'fun_app$t'| (|tptp.'cblinfun_apply$a'| |tptp.'a$'|) (|tptp.'ket$a'| |tptp.'i$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| (|tptp.'fun_app$m'| (|tptp.'fun_app$n'| |tptp.'plus$a'| |tptp.'b1$'|) |tptp.'b2$'|)) (|tptp.'ket$b'| |tptp.'j$'|)))) (= (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| (|tptp.'fun_app$m'| (|tptp.'fun_app$n'| |tptp.'plus$a'| |tptp.'b1$'|) |tptp.'b2$'|)) (|tptp.'ket$b'| |tptp.'j$'|)) (|tptp.'plus$i'| (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b1$'|) (|tptp.'ket$b'| |tptp.'j$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b2$'|) (|tptp.'ket$b'| |tptp.'j$'|)))) (not (= (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| (|tptp.'tensor_op$'| |tptp.'a$'| (|tptp.'fun_app$m'| (|tptp.'fun_app$n'| |tptp.'plus$a'| |tptp.'b1$'|) |tptp.'b2$'|))) (|tptp.'fun_app$o'| |tptp.'ket$'| (|tptp.'fun_app$p'| (|tptp.'fun_app$q'| |tptp.'pair$'| |tptp.'i$'|) |tptp.'j$'|))) (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| (|tptp.'fun_app$r'| (|tptp.'fun_app$s'| |tptp.'plus$b'| (|tptp.'tensor_op$'| |tptp.'a$'| |tptp.'b1$'|)) (|tptp.'tensor_op$'| |tptp.'a$'| |tptp.'b2$'|))) (|tptp.'fun_app$o'| |tptp.'ket$'| (|tptp.'fun_app$p'| (|tptp.'fun_app$q'| |tptp.'pair$'| |tptp.'i$'|) |tptp.'j$'|))))) (= (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| (|tptp.'fun_app$r'| (|tptp.'fun_app$s'| |tptp.'plus$b'| (|tptp.'tensor_op$'| |tptp.'a$'| |tptp.'b1$'|)) (|tptp.'tensor_op$'| |tptp.'a$'| |tptp.'b2$'|))) (|tptp.'fun_app$o'| |tptp.'ket$'| (|tptp.'fun_app$p'| (|tptp.'fun_app$q'| |tptp.'pair$'| |tptp.'i$'|) |tptp.'j$'|))) (|tptp.'plus$u'| (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| (|tptp.'tensor_op$'| |tptp.'a$'| |tptp.'b1$'|)) (|tptp.'fun_app$o'| |tptp.'ket$'| (|tptp.'fun_app$p'| (|tptp.'fun_app$q'| |tptp.'pair$'| |tptp.'i$'|) |tptp.'j$'|))) (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| (|tptp.'tensor_op$'| |tptp.'a$'| |tptp.'b2$'|)) (|tptp.'fun_app$o'| |tptp.'ket$'| (|tptp.'fun_app$p'| (|tptp.'fun_app$q'| |tptp.'pair$'| |tptp.'i$'|) |tptp.'j$'|))))) (= (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| (|tptp.'tensor_op$'| |tptp.'a$'| |tptp.'b1$'|)) (|tptp.'fun_app$o'| |tptp.'ket$'| (|tptp.'fun_app$p'| (|tptp.'fun_app$q'| |tptp.'pair$'| |tptp.'i$'|) |tptp.'j$'|))) (|tptp.'tensor_ell2$'| (|tptp.'fun_app$t'| (|tptp.'cblinfun_apply$a'| |tptp.'a$'|) (|tptp.'ket$a'| |tptp.'i$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b1$'|) (|tptp.'ket$b'| |tptp.'j$'|)))) (= (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| (|tptp.'tensor_op$'| |tptp.'a$'| |tptp.'b2$'|)) (|tptp.'fun_app$o'| |tptp.'ket$'| (|tptp.'fun_app$p'| (|tptp.'fun_app$q'| |tptp.'pair$'| |tptp.'i$'|) |tptp.'j$'|))) (|tptp.'tensor_ell2$'| (|tptp.'fun_app$t'| (|tptp.'cblinfun_apply$a'| |tptp.'a$'|) (|tptp.'ket$a'| |tptp.'i$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b2$'|) (|tptp.'ket$b'| |tptp.'j$'|)))))) (not (and (= (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| (|tptp.'tensor_op$'| |tptp.'a$'| (|tptp.'fun_app$m'| (|tptp.'fun_app$n'| |tptp.'plus$a'| |tptp.'b1$'|) |tptp.'b2$'|))) (|tptp.'fun_app$o'| |tptp.'ket$'| (|tptp.'fun_app$p'| (|tptp.'fun_app$q'| |tptp.'pair$'| |tptp.'i$'|) |tptp.'j$'|))) (|tptp.'tensor_ell2$'| (|tptp.'fun_app$t'| (|tptp.'cblinfun_apply$a'| |tptp.'a$'|) (|tptp.'ket$a'| |tptp.'i$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| (|tptp.'fun_app$m'| (|tptp.'fun_app$n'| |tptp.'plus$a'| |tptp.'b1$'|) |tptp.'b2$'|)) (|tptp.'ket$b'| |tptp.'j$'|)))) (= (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| (|tptp.'fun_app$m'| (|tptp.'fun_app$n'| |tptp.'plus$a'| |tptp.'b1$'|) |tptp.'b2$'|)) (|tptp.'ket$b'| |tptp.'j$'|)) (|tptp.'plus$i'| (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b1$'|) (|tptp.'ket$b'| |tptp.'j$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b2$'|) (|tptp.'ket$b'| |tptp.'j$'|)))) (not (= (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| (|tptp.'tensor_op$'| |tptp.'a$'| (|tptp.'fun_app$m'| (|tptp.'fun_app$n'| |tptp.'plus$a'| |tptp.'b1$'|) |tptp.'b2$'|))) (|tptp.'fun_app$o'| |tptp.'ket$'| (|tptp.'fun_app$p'| (|tptp.'fun_app$q'| |tptp.'pair$'| |tptp.'i$'|) |tptp.'j$'|))) (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| (|tptp.'fun_app$r'| (|tptp.'fun_app$s'| |tptp.'plus$b'| (|tptp.'tensor_op$'| |tptp.'a$'| |tptp.'b1$'|)) (|tptp.'tensor_op$'| |tptp.'a$'| |tptp.'b2$'|))) (|tptp.'fun_app$o'| |tptp.'ket$'| (|tptp.'fun_app$p'| (|tptp.'fun_app$q'| |tptp.'pair$'| |tptp.'i$'|) |tptp.'j$'|))))) (= (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| (|tptp.'fun_app$r'| (|tptp.'fun_app$s'| |tptp.'plus$b'| (|tptp.'tensor_op$'| |tptp.'a$'| |tptp.'b1$'|)) (|tptp.'tensor_op$'| |tptp.'a$'| |tptp.'b2$'|))) (|tptp.'fun_app$o'| |tptp.'ket$'| (|tptp.'fun_app$p'| (|tptp.'fun_app$q'| |tptp.'pair$'| |tptp.'i$'|) |tptp.'j$'|))) (|tptp.'plus$u'| (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| (|tptp.'tensor_op$'| |tptp.'a$'| |tptp.'b1$'|)) (|tptp.'fun_app$o'| |tptp.'ket$'| (|tptp.'fun_app$p'| (|tptp.'fun_app$q'| |tptp.'pair$'| |tptp.'i$'|) |tptp.'j$'|))) (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| (|tptp.'tensor_op$'| |tptp.'a$'| |tptp.'b2$'|)) (|tptp.'fun_app$o'| |tptp.'ket$'| (|tptp.'fun_app$p'| (|tptp.'fun_app$q'| |tptp.'pair$'| |tptp.'i$'|) |tptp.'j$'|))))) (= (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| (|tptp.'tensor_op$'| |tptp.'a$'| |tptp.'b1$'|)) (|tptp.'fun_app$o'| |tptp.'ket$'| (|tptp.'fun_app$p'| (|tptp.'fun_app$q'| |tptp.'pair$'| |tptp.'i$'|) |tptp.'j$'|))) (|tptp.'tensor_ell2$'| (|tptp.'fun_app$t'| (|tptp.'cblinfun_apply$a'| |tptp.'a$'|) (|tptp.'ket$a'| |tptp.'i$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b1$'|) (|tptp.'ket$b'| |tptp.'j$'|)))) (= (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| (|tptp.'tensor_op$'| |tptp.'a$'| |tptp.'b2$'|)) (|tptp.'fun_app$o'| |tptp.'ket$'| (|tptp.'fun_app$p'| (|tptp.'fun_app$q'| |tptp.'pair$'| |tptp.'i$'|) |tptp.'j$'|))) (|tptp.'tensor_ell2$'| (|tptp.'fun_app$t'| (|tptp.'cblinfun_apply$a'| |tptp.'a$'|) (|tptp.'ket$a'| |tptp.'i$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b2$'|) (|tptp.'ket$b'| |tptp.'j$'|)))))) (not (and (= (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| (|tptp.'tensor_op$'| |tptp.'a$'| (|tptp.'fun_app$m'| (|tptp.'fun_app$n'| |tptp.'plus$a'| |tptp.'b1$'|) |tptp.'b2$'|))) (|tptp.'fun_app$o'| |tptp.'ket$'| (|tptp.'fun_app$p'| (|tptp.'fun_app$q'| |tptp.'pair$'| |tptp.'i$'|) |tptp.'j$'|))) (|tptp.'tensor_ell2$'| (|tptp.'fun_app$t'| (|tptp.'cblinfun_apply$a'| |tptp.'a$'|) (|tptp.'ket$a'| |tptp.'i$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| (|tptp.'fun_app$m'| (|tptp.'fun_app$n'| |tptp.'plus$a'| |tptp.'b1$'|) |tptp.'b2$'|)) (|tptp.'ket$b'| |tptp.'j$'|)))) (= (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| (|tptp.'fun_app$m'| (|tptp.'fun_app$n'| |tptp.'plus$a'| |tptp.'b1$'|) |tptp.'b2$'|)) (|tptp.'ket$b'| |tptp.'j$'|)) (|tptp.'plus$i'| (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b1$'|) (|tptp.'ket$b'| |tptp.'j$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b2$'|) (|tptp.'ket$b'| |tptp.'j$'|)))) (not (= (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| (|tptp.'tensor_op$'| |tptp.'a$'| (|tptp.'fun_app$m'| (|tptp.'fun_app$n'| |tptp.'plus$a'| |tptp.'b1$'|) |tptp.'b2$'|))) (|tptp.'fun_app$o'| |tptp.'ket$'| (|tptp.'fun_app$p'| (|tptp.'fun_app$q'| |tptp.'pair$'| |tptp.'i$'|) |tptp.'j$'|))) (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| (|tptp.'fun_app$r'| (|tptp.'fun_app$s'| |tptp.'plus$b'| (|tptp.'tensor_op$'| |tptp.'a$'| |tptp.'b1$'|)) (|tptp.'tensor_op$'| |tptp.'a$'| |tptp.'b2$'|))) (|tptp.'fun_app$o'| |tptp.'ket$'| (|tptp.'fun_app$p'| (|tptp.'fun_app$q'| |tptp.'pair$'| |tptp.'i$'|) |tptp.'j$'|))))) (= (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| (|tptp.'fun_app$r'| (|tptp.'fun_app$s'| |tptp.'plus$b'| (|tptp.'tensor_op$'| |tptp.'a$'| |tptp.'b1$'|)) (|tptp.'tensor_op$'| |tptp.'a$'| |tptp.'b2$'|))) (|tptp.'fun_app$o'| |tptp.'ket$'| (|tptp.'fun_app$p'| (|tptp.'fun_app$q'| |tptp.'pair$'| |tptp.'i$'|) |tptp.'j$'|))) (|tptp.'plus$u'| (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| (|tptp.'tensor_op$'| |tptp.'a$'| |tptp.'b1$'|)) (|tptp.'fun_app$o'| |tptp.'ket$'| (|tptp.'fun_app$p'| (|tptp.'fun_app$q'| |tptp.'pair$'| |tptp.'i$'|) |tptp.'j$'|))) (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| (|tptp.'tensor_op$'| |tptp.'a$'| |tptp.'b2$'|)) (|tptp.'fun_app$o'| |tptp.'ket$'| (|tptp.'fun_app$p'| (|tptp.'fun_app$q'| |tptp.'pair$'| |tptp.'i$'|) |tptp.'j$'|))))) (= (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| (|tptp.'tensor_op$'| |tptp.'a$'| |tptp.'b1$'|)) (|tptp.'fun_app$o'| |tptp.'ket$'| (|tptp.'fun_app$p'| (|tptp.'fun_app$q'| |tptp.'pair$'| |tptp.'i$'|) |tptp.'j$'|))) (|tptp.'tensor_ell2$'| (|tptp.'fun_app$t'| (|tptp.'cblinfun_apply$a'| |tptp.'a$'|) (|tptp.'ket$a'| |tptp.'i$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b1$'|) (|tptp.'ket$b'| |tptp.'j$'|)))) (= (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| (|tptp.'tensor_op$'| |tptp.'a$'| |tptp.'b2$'|)) (|tptp.'fun_app$o'| |tptp.'ket$'| (|tptp.'fun_app$p'| (|tptp.'fun_app$q'| |tptp.'pair$'| |tptp.'i$'|) |tptp.'j$'|))) (|tptp.'tensor_ell2$'| (|tptp.'fun_app$t'| (|tptp.'cblinfun_apply$a'| |tptp.'a$'|) (|tptp.'ket$a'| |tptp.'i$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b2$'|) (|tptp.'ket$b'| |tptp.'j$'|))))))) :rule resolution :premises (t44.t3 t44.t4 t44.t5 t44.t6 t44.t7 t44.t8 t44.t9))
% 1.07/1.27 (step t44.t11 (cl (not (and (= (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| (|tptp.'tensor_op$'| |tptp.'a$'| (|tptp.'fun_app$m'| (|tptp.'fun_app$n'| |tptp.'plus$a'| |tptp.'b1$'|) |tptp.'b2$'|))) (|tptp.'fun_app$o'| |tptp.'ket$'| (|tptp.'fun_app$p'| (|tptp.'fun_app$q'| |tptp.'pair$'| |tptp.'i$'|) |tptp.'j$'|))) (|tptp.'tensor_ell2$'| (|tptp.'fun_app$t'| (|tptp.'cblinfun_apply$a'| |tptp.'a$'|) (|tptp.'ket$a'| |tptp.'i$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| (|tptp.'fun_app$m'| (|tptp.'fun_app$n'| |tptp.'plus$a'| |tptp.'b1$'|) |tptp.'b2$'|)) (|tptp.'ket$b'| |tptp.'j$'|)))) (= (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| (|tptp.'fun_app$m'| (|tptp.'fun_app$n'| |tptp.'plus$a'| |tptp.'b1$'|) |tptp.'b2$'|)) (|tptp.'ket$b'| |tptp.'j$'|)) (|tptp.'plus$i'| (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b1$'|) (|tptp.'ket$b'| |tptp.'j$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b2$'|) (|tptp.'ket$b'| |tptp.'j$'|)))) (not (= (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| (|tptp.'tensor_op$'| |tptp.'a$'| (|tptp.'fun_app$m'| (|tptp.'fun_app$n'| |tptp.'plus$a'| |tptp.'b1$'|) |tptp.'b2$'|))) (|tptp.'fun_app$o'| |tptp.'ket$'| (|tptp.'fun_app$p'| (|tptp.'fun_app$q'| |tptp.'pair$'| |tptp.'i$'|) |tptp.'j$'|))) (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| (|tptp.'fun_app$r'| (|tptp.'fun_app$s'| |tptp.'plus$b'| (|tptp.'tensor_op$'| |tptp.'a$'| |tptp.'b1$'|)) (|tptp.'tensor_op$'| |tptp.'a$'| |tptp.'b2$'|))) (|tptp.'fun_app$o'| |tptp.'ket$'| (|tptp.'fun_app$p'| (|tptp.'fun_app$q'| |tptp.'pair$'| |tptp.'i$'|) |tptp.'j$'|))))) (= (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| (|tptp.'fun_app$r'| (|tptp.'fun_app$s'| |tptp.'plus$b'| (|tptp.'tensor_op$'| |tptp.'a$'| |tptp.'b1$'|)) (|tptp.'tensor_op$'| |tptp.'a$'| |tptp.'b2$'|))) (|tptp.'fun_app$o'| |tptp.'ket$'| (|tptp.'fun_app$p'| (|tptp.'fun_app$q'| |tptp.'pair$'| |tptp.'i$'|) |tptp.'j$'|))) (|tptp.'plus$u'| (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| (|tptp.'tensor_op$'| |tptp.'a$'| |tptp.'b1$'|)) (|tptp.'fun_app$o'| |tptp.'ket$'| (|tptp.'fun_app$p'| (|tptp.'fun_app$q'| |tptp.'pair$'| |tptp.'i$'|) |tptp.'j$'|))) (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| (|tptp.'tensor_op$'| |tptp.'a$'| |tptp.'b2$'|)) (|tptp.'fun_app$o'| |tptp.'ket$'| (|tptp.'fun_app$p'| (|tptp.'fun_app$q'| |tptp.'pair$'| |tptp.'i$'|) |tptp.'j$'|))))) (= (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| (|tptp.'tensor_op$'| |tptp.'a$'| |tptp.'b1$'|)) (|tptp.'fun_app$o'| |tptp.'ket$'| (|tptp.'fun_app$p'| (|tptp.'fun_app$q'| |tptp.'pair$'| |tptp.'i$'|) |tptp.'j$'|))) (|tptp.'tensor_ell2$'| (|tptp.'fun_app$t'| (|tptp.'cblinfun_apply$a'| |tptp.'a$'|) (|tptp.'ket$a'| |tptp.'i$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b1$'|) (|tptp.'ket$b'| |tptp.'j$'|)))) (= (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| (|tptp.'tensor_op$'| |tptp.'a$'| |tptp.'b2$'|)) (|tptp.'fun_app$o'| |tptp.'ket$'| (|tptp.'fun_app$p'| (|tptp.'fun_app$q'| |tptp.'pair$'| |tptp.'i$'|) |tptp.'j$'|))) (|tptp.'tensor_ell2$'| (|tptp.'fun_app$t'| (|tptp.'cblinfun_apply$a'| |tptp.'a$'|) (|tptp.'ket$a'| |tptp.'i$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b2$'|) (|tptp.'ket$b'| |tptp.'j$'|)))))) (not (and (= (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| (|tptp.'tensor_op$'| |tptp.'a$'| (|tptp.'fun_app$m'| (|tptp.'fun_app$n'| |tptp.'plus$a'| |tptp.'b1$'|) |tptp.'b2$'|))) (|tptp.'fun_app$o'| |tptp.'ket$'| (|tptp.'fun_app$p'| (|tptp.'fun_app$q'| |tptp.'pair$'| |tptp.'i$'|) |tptp.'j$'|))) (|tptp.'tensor_ell2$'| (|tptp.'fun_app$t'| (|tptp.'cblinfun_apply$a'| |tptp.'a$'|) (|tptp.'ket$a'| |tptp.'i$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| (|tptp.'fun_app$m'| (|tptp.'fun_app$n'| |tptp.'plus$a'| |tptp.'b1$'|) |tptp.'b2$'|)) (|tptp.'ket$b'| |tptp.'j$'|)))) (= (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| (|tptp.'fun_app$m'| (|tptp.'fun_app$n'| |tptp.'plus$a'| |tptp.'b1$'|) |tptp.'b2$'|)) (|tptp.'ket$b'| |tptp.'j$'|)) (|tptp.'plus$i'| (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b1$'|) (|tptp.'ket$b'| |tptp.'j$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b2$'|) (|tptp.'ket$b'| |tptp.'j$'|)))) (not (= (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| (|tptp.'tensor_op$'| |tptp.'a$'| (|tptp.'fun_app$m'| (|tptp.'fun_app$n'| |tptp.'plus$a'| |tptp.'b1$'|) |tptp.'b2$'|))) (|tptp.'fun_app$o'| |tptp.'ket$'| (|tptp.'fun_app$p'| (|tptp.'fun_app$q'| |tptp.'pair$'| |tptp.'i$'|) |tptp.'j$'|))) (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| (|tptp.'fun_app$r'| (|tptp.'fun_app$s'| |tptp.'plus$b'| (|tptp.'tensor_op$'| |tptp.'a$'| |tptp.'b1$'|)) (|tptp.'tensor_op$'| |tptp.'a$'| |tptp.'b2$'|))) (|tptp.'fun_app$o'| |tptp.'ket$'| (|tptp.'fun_app$p'| (|tptp.'fun_app$q'| |tptp.'pair$'| |tptp.'i$'|) |tptp.'j$'|))))) (= (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| (|tptp.'fun_app$r'| (|tptp.'fun_app$s'| |tptp.'plus$b'| (|tptp.'tensor_op$'| |tptp.'a$'| |tptp.'b1$'|)) (|tptp.'tensor_op$'| |tptp.'a$'| |tptp.'b2$'|))) (|tptp.'fun_app$o'| |tptp.'ket$'| (|tptp.'fun_app$p'| (|tptp.'fun_app$q'| |tptp.'pair$'| |tptp.'i$'|) |tptp.'j$'|))) (|tptp.'plus$u'| (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| (|tptp.'tensor_op$'| |tptp.'a$'| |tptp.'b1$'|)) (|tptp.'fun_app$o'| |tptp.'ket$'| (|tptp.'fun_app$p'| (|tptp.'fun_app$q'| |tptp.'pair$'| |tptp.'i$'|) |tptp.'j$'|))) (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| (|tptp.'tensor_op$'| |tptp.'a$'| |tptp.'b2$'|)) (|tptp.'fun_app$o'| |tptp.'ket$'| (|tptp.'fun_app$p'| (|tptp.'fun_app$q'| |tptp.'pair$'| |tptp.'i$'|) |tptp.'j$'|))))) (= (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| (|tptp.'tensor_op$'| |tptp.'a$'| |tptp.'b1$'|)) (|tptp.'fun_app$o'| |tptp.'ket$'| (|tptp.'fun_app$p'| (|tptp.'fun_app$q'| |tptp.'pair$'| |tptp.'i$'|) |tptp.'j$'|))) (|tptp.'tensor_ell2$'| (|tptp.'fun_app$t'| (|tptp.'cblinfun_apply$a'| |tptp.'a$'|) (|tptp.'ket$a'| |tptp.'i$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b1$'|) (|tptp.'ket$b'| |tptp.'j$'|)))) (= (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| (|tptp.'tensor_op$'| |tptp.'a$'| |tptp.'b2$'|)) (|tptp.'fun_app$o'| |tptp.'ket$'| (|tptp.'fun_app$p'| (|tptp.'fun_app$q'| |tptp.'pair$'| |tptp.'i$'|) |tptp.'j$'|))) (|tptp.'tensor_ell2$'| (|tptp.'fun_app$t'| (|tptp.'cblinfun_apply$a'| |tptp.'a$'|) (|tptp.'ket$a'| |tptp.'i$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b2$'|) (|tptp.'ket$b'| |tptp.'j$'|)))))) (not (and (= (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| (|tptp.'tensor_op$'| |tptp.'a$'| (|tptp.'fun_app$m'| (|tptp.'fun_app$n'| |tptp.'plus$a'| |tptp.'b1$'|) |tptp.'b2$'|))) (|tptp.'fun_app$o'| |tptp.'ket$'| (|tptp.'fun_app$p'| (|tptp.'fun_app$q'| |tptp.'pair$'| |tptp.'i$'|) |tptp.'j$'|))) (|tptp.'tensor_ell2$'| (|tptp.'fun_app$t'| (|tptp.'cblinfun_apply$a'| |tptp.'a$'|) (|tptp.'ket$a'| |tptp.'i$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| (|tptp.'fun_app$m'| (|tptp.'fun_app$n'| |tptp.'plus$a'| |tptp.'b1$'|) |tptp.'b2$'|)) (|tptp.'ket$b'| |tptp.'j$'|)))) (= (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| (|tptp.'fun_app$m'| (|tptp.'fun_app$n'| |tptp.'plus$a'| |tptp.'b1$'|) |tptp.'b2$'|)) (|tptp.'ket$b'| |tptp.'j$'|)) (|tptp.'plus$i'| (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b1$'|) (|tptp.'ket$b'| |tptp.'j$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b2$'|) (|tptp.'ket$b'| |tptp.'j$'|)))) (not (= (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| (|tptp.'tensor_op$'| |tptp.'a$'| (|tptp.'fun_app$m'| (|tptp.'fun_app$n'| |tptp.'plus$a'| |tptp.'b1$'|) |tptp.'b2$'|))) (|tptp.'fun_app$o'| |tptp.'ket$'| (|tptp.'fun_app$p'| (|tptp.'fun_app$q'| |tptp.'pair$'| |tptp.'i$'|) |tptp.'j$'|))) (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| (|tptp.'fun_app$r'| (|tptp.'fun_app$s'| |tptp.'plus$b'| (|tptp.'tensor_op$'| |tptp.'a$'| |tptp.'b1$'|)) (|tptp.'tensor_op$'| |tptp.'a$'| |tptp.'b2$'|))) (|tptp.'fun_app$o'| |tptp.'ket$'| (|tptp.'fun_app$p'| (|tptp.'fun_app$q'| |tptp.'pair$'| |tptp.'i$'|) |tptp.'j$'|))))) (= (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| (|tptp.'fun_app$r'| (|tptp.'fun_app$s'| |tptp.'plus$b'| (|tptp.'tensor_op$'| |tptp.'a$'| |tptp.'b1$'|)) (|tptp.'tensor_op$'| |tptp.'a$'| |tptp.'b2$'|))) (|tptp.'fun_app$o'| |tptp.'ket$'| (|tptp.'fun_app$p'| (|tptp.'fun_app$q'| |tptp.'pair$'| |tptp.'i$'|) |tptp.'j$'|))) (|tptp.'plus$u'| (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| (|tptp.'tensor_op$'| |tptp.'a$'| |tptp.'b1$'|)) (|tptp.'fun_app$o'| |tptp.'ket$'| (|tptp.'fun_app$p'| (|tptp.'fun_app$q'| |tptp.'pair$'| |tptp.'i$'|) |tptp.'j$'|))) (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| (|tptp.'tensor_op$'| |tptp.'a$'| |tptp.'b2$'|)) (|tptp.'fun_app$o'| |tptp.'ket$'| (|tptp.'fun_app$p'| (|tptp.'fun_app$q'| |tptp.'pair$'| |tptp.'i$'|) |tptp.'j$'|))))) (= (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| (|tptp.'tensor_op$'| |tptp.'a$'| |tptp.'b1$'|)) (|tptp.'fun_app$o'| |tptp.'ket$'| (|tptp.'fun_app$p'| (|tptp.'fun_app$q'| |tptp.'pair$'| |tptp.'i$'|) |tptp.'j$'|))) (|tptp.'tensor_ell2$'| (|tptp.'fun_app$t'| (|tptp.'cblinfun_apply$a'| |tptp.'a$'|) (|tptp.'ket$a'| |tptp.'i$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b1$'|) (|tptp.'ket$b'| |tptp.'j$'|)))) (= (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| (|tptp.'tensor_op$'| |tptp.'a$'| |tptp.'b2$'|)) (|tptp.'fun_app$o'| |tptp.'ket$'| (|tptp.'fun_app$p'| (|tptp.'fun_app$q'| |tptp.'pair$'| |tptp.'i$'|) |tptp.'j$'|))) (|tptp.'tensor_ell2$'| (|tptp.'fun_app$t'| (|tptp.'cblinfun_apply$a'| |tptp.'a$'|) (|tptp.'ket$a'| |tptp.'i$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b2$'|) (|tptp.'ket$b'| |tptp.'j$'|)))))) (not (and (= (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| (|tptp.'tensor_op$'| |tptp.'a$'| (|tptp.'fun_app$m'| (|tptp.'fun_app$n'| |tptp.'plus$a'| |tptp.'b1$'|) |tptp.'b2$'|))) (|tptp.'fun_app$o'| |tptp.'ket$'| (|tptp.'fun_app$p'| (|tptp.'fun_app$q'| |tptp.'pair$'| |tptp.'i$'|) |tptp.'j$'|))) (|tptp.'tensor_ell2$'| (|tptp.'fun_app$t'| (|tptp.'cblinfun_apply$a'| |tptp.'a$'|) (|tptp.'ket$a'| |tptp.'i$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| (|tptp.'fun_app$m'| (|tptp.'fun_app$n'| |tptp.'plus$a'| |tptp.'b1$'|) |tptp.'b2$'|)) (|tptp.'ket$b'| |tptp.'j$'|)))) (= (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| (|tptp.'fun_app$m'| (|tptp.'fun_app$n'| |tptp.'plus$a'| |tptp.'b1$'|) |tptp.'b2$'|)) (|tptp.'ket$b'| |tptp.'j$'|)) (|tptp.'plus$i'| (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b1$'|) (|tptp.'ket$b'| |tptp.'j$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b2$'|) (|tptp.'ket$b'| |tptp.'j$'|)))) (not (= (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| (|tptp.'tensor_op$'| |tptp.'a$'| (|tptp.'fun_app$m'| (|tptp.'fun_app$n'| |tptp.'plus$a'| |tptp.'b1$'|) |tptp.'b2$'|))) (|tptp.'fun_app$o'| |tptp.'ket$'| (|tptp.'fun_app$p'| (|tptp.'fun_app$q'| |tptp.'pair$'| |tptp.'i$'|) |tptp.'j$'|))) (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| (|tptp.'fun_app$r'| (|tptp.'fun_app$s'| |tptp.'plus$b'| (|tptp.'tensor_op$'| |tptp.'a$'| |tptp.'b1$'|)) (|tptp.'tensor_op$'| |tptp.'a$'| |tptp.'b2$'|))) (|tptp.'fun_app$o'| |tptp.'ket$'| (|tptp.'fun_app$p'| (|tptp.'fun_app$q'| |tptp.'pair$'| |tptp.'i$'|) |tptp.'j$'|))))) (= (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| (|tptp.'fun_app$r'| (|tptp.'fun_app$s'| |tptp.'plus$b'| (|tptp.'tensor_op$'| |tptp.'a$'| |tptp.'b1$'|)) (|tptp.'tensor_op$'| |tptp.'a$'| |tptp.'b2$'|))) (|tptp.'fun_app$o'| |tptp.'ket$'| (|tptp.'fun_app$p'| (|tptp.'fun_app$q'| |tptp.'pair$'| |tptp.'i$'|) |tptp.'j$'|))) (|tptp.'plus$u'| (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| (|tptp.'tensor_op$'| |tptp.'a$'| |tptp.'b1$'|)) (|tptp.'fun_app$o'| |tptp.'ket$'| (|tptp.'fun_app$p'| (|tptp.'fun_app$q'| |tptp.'pair$'| |tptp.'i$'|) |tptp.'j$'|))) (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| (|tptp.'tensor_op$'| |tptp.'a$'| |tptp.'b2$'|)) (|tptp.'fun_app$o'| |tptp.'ket$'| (|tptp.'fun_app$p'| (|tptp.'fun_app$q'| |tptp.'pair$'| |tptp.'i$'|) |tptp.'j$'|))))) (= (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| (|tptp.'tensor_op$'| |tptp.'a$'| |tptp.'b1$'|)) (|tptp.'fun_app$o'| |tptp.'ket$'| (|tptp.'fun_app$p'| (|tptp.'fun_app$q'| |tptp.'pair$'| |tptp.'i$'|) |tptp.'j$'|))) (|tptp.'tensor_ell2$'| (|tptp.'fun_app$t'| (|tptp.'cblinfun_apply$a'| |tptp.'a$'|) (|tptp.'ket$a'| |tptp.'i$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b1$'|) (|tptp.'ket$b'| |tptp.'j$'|)))) (= (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| (|tptp.'tensor_op$'| |tptp.'a$'| |tptp.'b2$'|)) (|tptp.'fun_app$o'| |tptp.'ket$'| (|tptp.'fun_app$p'| (|tptp.'fun_app$q'| |tptp.'pair$'| |tptp.'i$'|) |tptp.'j$'|))) (|tptp.'tensor_ell2$'| (|tptp.'fun_app$t'| (|tptp.'cblinfun_apply$a'| |tptp.'a$'|) (|tptp.'ket$a'| |tptp.'i$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b2$'|) (|tptp.'ket$b'| |tptp.'j$'|)))))) (not (and (= (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| (|tptp.'tensor_op$'| |tptp.'a$'| (|tptp.'fun_app$m'| (|tptp.'fun_app$n'| |tptp.'plus$a'| |tptp.'b1$'|) |tptp.'b2$'|))) (|tptp.'fun_app$o'| |tptp.'ket$'| (|tptp.'fun_app$p'| (|tptp.'fun_app$q'| |tptp.'pair$'| |tptp.'i$'|) |tptp.'j$'|))) (|tptp.'tensor_ell2$'| (|tptp.'fun_app$t'| (|tptp.'cblinfun_apply$a'| |tptp.'a$'|) (|tptp.'ket$a'| |tptp.'i$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| (|tptp.'fun_app$m'| (|tptp.'fun_app$n'| |tptp.'plus$a'| |tptp.'b1$'|) |tptp.'b2$'|)) (|tptp.'ket$b'| |tptp.'j$'|)))) (= (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| (|tptp.'fun_app$m'| (|tptp.'fun_app$n'| |tptp.'plus$a'| |tptp.'b1$'|) |tptp.'b2$'|)) (|tptp.'ket$b'| |tptp.'j$'|)) (|tptp.'plus$i'| (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b1$'|) (|tptp.'ket$b'| |tptp.'j$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b2$'|) (|tptp.'ket$b'| |tptp.'j$'|)))) (not (= (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| (|tptp.'tensor_op$'| |tptp.'a$'| (|tptp.'fun_app$m'| (|tptp.'fun_app$n'| |tptp.'plus$a'| |tptp.'b1$'|) |tptp.'b2$'|))) (|tptp.'fun_app$o'| |tptp.'ket$'| (|tptp.'fun_app$p'| (|tptp.'fun_app$q'| |tptp.'pair$'| |tptp.'i$'|) |tptp.'j$'|))) (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| (|tptp.'fun_app$r'| (|tptp.'fun_app$s'| |tptp.'plus$b'| (|tptp.'tensor_op$'| |tptp.'a$'| |tptp.'b1$'|)) (|tptp.'tensor_op$'| |tptp.'a$'| |tptp.'b2$'|))) (|tptp.'fun_app$o'| |tptp.'ket$'| (|tptp.'fun_app$p'| (|tptp.'fun_app$q'| |tptp.'pair$'| |tptp.'i$'|) |tptp.'j$'|))))) (= (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| (|tptp.'fun_app$r'| (|tptp.'fun_app$s'| |tptp.'plus$b'| (|tptp.'tensor_op$'| |tptp.'a$'| |tptp.'b1$'|)) (|tptp.'tensor_op$'| |tptp.'a$'| |tptp.'b2$'|))) (|tptp.'fun_app$o'| |tptp.'ket$'| (|tptp.'fun_app$p'| (|tptp.'fun_app$q'| |tptp.'pair$'| |tptp.'i$'|) |tptp.'j$'|))) (|tptp.'plus$u'| (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| (|tptp.'tensor_op$'| |tptp.'a$'| |tptp.'b1$'|)) (|tptp.'fun_app$o'| |tptp.'ket$'| (|tptp.'fun_app$p'| (|tptp.'fun_app$q'| |tptp.'pair$'| |tptp.'i$'|) |tptp.'j$'|))) (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| (|tptp.'tensor_op$'| |tptp.'a$'| |tptp.'b2$'|)) (|tptp.'fun_app$o'| |tptp.'ket$'| (|tptp.'fun_app$p'| (|tptp.'fun_app$q'| |tptp.'pair$'| |tptp.'i$'|) |tptp.'j$'|))))) (= (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| (|tptp.'tensor_op$'| |tptp.'a$'| |tptp.'b1$'|)) (|tptp.'fun_app$o'| |tptp.'ket$'| (|tptp.'fun_app$p'| (|tptp.'fun_app$q'| |tptp.'pair$'| |tptp.'i$'|) |tptp.'j$'|))) (|tptp.'tensor_ell2$'| (|tptp.'fun_app$t'| (|tptp.'cblinfun_apply$a'| |tptp.'a$'|) (|tptp.'ket$a'| |tptp.'i$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b1$'|) (|tptp.'ket$b'| |tptp.'j$'|)))) (= (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| (|tptp.'tensor_op$'| |tptp.'a$'| |tptp.'b2$'|)) (|tptp.'fun_app$o'| |tptp.'ket$'| (|tptp.'fun_app$p'| (|tptp.'fun_app$q'| |tptp.'pair$'| |tptp.'i$'|) |tptp.'j$'|))) (|tptp.'tensor_ell2$'| (|tptp.'fun_app$t'| (|tptp.'cblinfun_apply$a'| |tptp.'a$'|) (|tptp.'ket$a'| |tptp.'i$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b2$'|) (|tptp.'ket$b'| |tptp.'j$'|)))))) (not (and (= (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| (|tptp.'tensor_op$'| |tptp.'a$'| (|tptp.'fun_app$m'| (|tptp.'fun_app$n'| |tptp.'plus$a'| |tptp.'b1$'|) |tptp.'b2$'|))) (|tptp.'fun_app$o'| |tptp.'ket$'| (|tptp.'fun_app$p'| (|tptp.'fun_app$q'| |tptp.'pair$'| |tptp.'i$'|) |tptp.'j$'|))) (|tptp.'tensor_ell2$'| (|tptp.'fun_app$t'| (|tptp.'cblinfun_apply$a'| |tptp.'a$'|) (|tptp.'ket$a'| |tptp.'i$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| (|tptp.'fun_app$m'| (|tptp.'fun_app$n'| |tptp.'plus$a'| |tptp.'b1$'|) |tptp.'b2$'|)) (|tptp.'ket$b'| |tptp.'j$'|)))) (= (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| (|tptp.'fun_app$m'| (|tptp.'fun_app$n'| |tptp.'plus$a'| |tptp.'b1$'|) |tptp.'b2$'|)) (|tptp.'ket$b'| |tptp.'j$'|)) (|tptp.'plus$i'| (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b1$'|) (|tptp.'ket$b'| |tptp.'j$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b2$'|) (|tptp.'ket$b'| |tptp.'j$'|)))) (not (= (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| (|tptp.'tensor_op$'| |tptp.'a$'| (|tptp.'fun_app$m'| (|tptp.'fun_app$n'| |tptp.'plus$a'| |tptp.'b1$'|) |tptp.'b2$'|))) (|tptp.'fun_app$o'| |tptp.'ket$'| (|tptp.'fun_app$p'| (|tptp.'fun_app$q'| |tptp.'pair$'| |tptp.'i$'|) |tptp.'j$'|))) (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| (|tptp.'fun_app$r'| (|tptp.'fun_app$s'| |tptp.'plus$b'| (|tptp.'tensor_op$'| |tptp.'a$'| |tptp.'b1$'|)) (|tptp.'tensor_op$'| |tptp.'a$'| |tptp.'b2$'|))) (|tptp.'fun_app$o'| |tptp.'ket$'| (|tptp.'fun_app$p'| (|tptp.'fun_app$q'| |tptp.'pair$'| |tptp.'i$'|) |tptp.'j$'|))))) (= (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| (|tptp.'fun_app$r'| (|tptp.'fun_app$s'| |tptp.'plus$b'| (|tptp.'tensor_op$'| |tptp.'a$'| |tptp.'b1$'|)) (|tptp.'tensor_op$'| |tptp.'a$'| |tptp.'b2$'|))) (|tptp.'fun_app$o'| |tptp.'ket$'| (|tptp.'fun_app$p'| (|tptp.'fun_app$q'| |tptp.'pair$'| |tptp.'i$'|) |tptp.'j$'|))) (|tptp.'plus$u'| (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| (|tptp.'tensor_op$'| |tptp.'a$'| |tptp.'b1$'|)) (|tptp.'fun_app$o'| |tptp.'ket$'| (|tptp.'fun_app$p'| (|tptp.'fun_app$q'| |tptp.'pair$'| |tptp.'i$'|) |tptp.'j$'|))) (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| (|tptp.'tensor_op$'| |tptp.'a$'| |tptp.'b2$'|)) (|tptp.'fun_app$o'| |tptp.'ket$'| (|tptp.'fun_app$p'| (|tptp.'fun_app$q'| |tptp.'pair$'| |tptp.'i$'|) |tptp.'j$'|))))) (= (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| (|tptp.'tensor_op$'| |tptp.'a$'| |tptp.'b1$'|)) (|tptp.'fun_app$o'| |tptp.'ket$'| (|tptp.'fun_app$p'| (|tptp.'fun_app$q'| |tptp.'pair$'| |tptp.'i$'|) |tptp.'j$'|))) (|tptp.'tensor_ell2$'| (|tptp.'fun_app$t'| (|tptp.'cblinfun_apply$a'| |tptp.'a$'|) (|tptp.'ket$a'| |tptp.'i$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b1$'|) (|tptp.'ket$b'| |tptp.'j$'|)))) (= (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| (|tptp.'tensor_op$'| |tptp.'a$'| |tptp.'b2$'|)) (|tptp.'fun_app$o'| |tptp.'ket$'| (|tptp.'fun_app$p'| (|tptp.'fun_app$q'| |tptp.'pair$'| |tptp.'i$'|) |tptp.'j$'|))) (|tptp.'tensor_ell2$'| (|tptp.'fun_app$t'| (|tptp.'cblinfun_apply$a'| |tptp.'a$'|) (|tptp.'ket$a'| |tptp.'i$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b2$'|) (|tptp.'ket$b'| |tptp.'j$'|)))))) (not (= (|tptp.'tensor_ell2$'| (|tptp.'fun_app$t'| (|tptp.'cblinfun_apply$a'| |tptp.'a$'|) (|tptp.'ket$a'| |tptp.'i$'|)) (|tptp.'plus$i'| (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b1$'|) (|tptp.'ket$b'| |tptp.'j$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b2$'|) (|tptp.'ket$b'| |tptp.'j$'|)))) (|tptp.'plus$u'| (|tptp.'tensor_ell2$'| (|tptp.'fun_app$t'| (|tptp.'cblinfun_apply$a'| |tptp.'a$'|) (|tptp.'ket$a'| |tptp.'i$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b1$'|) (|tptp.'ket$b'| |tptp.'j$'|))) (|tptp.'tensor_ell2$'| (|tptp.'fun_app$t'| (|tptp.'cblinfun_apply$a'| |tptp.'a$'|) (|tptp.'ket$a'| |tptp.'i$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b2$'|) (|tptp.'ket$b'| |tptp.'j$'|))))))) :rule reordering :premises (t44.t10))
% 1.07/1.27 (step t44.t12 (cl (not (and (= (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| (|tptp.'tensor_op$'| |tptp.'a$'| (|tptp.'fun_app$m'| (|tptp.'fun_app$n'| |tptp.'plus$a'| |tptp.'b1$'|) |tptp.'b2$'|))) (|tptp.'fun_app$o'| |tptp.'ket$'| (|tptp.'fun_app$p'| (|tptp.'fun_app$q'| |tptp.'pair$'| |tptp.'i$'|) |tptp.'j$'|))) (|tptp.'tensor_ell2$'| (|tptp.'fun_app$t'| (|tptp.'cblinfun_apply$a'| |tptp.'a$'|) (|tptp.'ket$a'| |tptp.'i$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| (|tptp.'fun_app$m'| (|tptp.'fun_app$n'| |tptp.'plus$a'| |tptp.'b1$'|) |tptp.'b2$'|)) (|tptp.'ket$b'| |tptp.'j$'|)))) (= (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| (|tptp.'fun_app$m'| (|tptp.'fun_app$n'| |tptp.'plus$a'| |tptp.'b1$'|) |tptp.'b2$'|)) (|tptp.'ket$b'| |tptp.'j$'|)) (|tptp.'plus$i'| (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b1$'|) (|tptp.'ket$b'| |tptp.'j$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b2$'|) (|tptp.'ket$b'| |tptp.'j$'|)))) (not (= (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| (|tptp.'tensor_op$'| |tptp.'a$'| (|tptp.'fun_app$m'| (|tptp.'fun_app$n'| |tptp.'plus$a'| |tptp.'b1$'|) |tptp.'b2$'|))) (|tptp.'fun_app$o'| |tptp.'ket$'| (|tptp.'fun_app$p'| (|tptp.'fun_app$q'| |tptp.'pair$'| |tptp.'i$'|) |tptp.'j$'|))) (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| (|tptp.'fun_app$r'| (|tptp.'fun_app$s'| |tptp.'plus$b'| (|tptp.'tensor_op$'| |tptp.'a$'| |tptp.'b1$'|)) (|tptp.'tensor_op$'| |tptp.'a$'| |tptp.'b2$'|))) (|tptp.'fun_app$o'| |tptp.'ket$'| (|tptp.'fun_app$p'| (|tptp.'fun_app$q'| |tptp.'pair$'| |tptp.'i$'|) |tptp.'j$'|))))) (= (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| (|tptp.'fun_app$r'| (|tptp.'fun_app$s'| |tptp.'plus$b'| (|tptp.'tensor_op$'| |tptp.'a$'| |tptp.'b1$'|)) (|tptp.'tensor_op$'| |tptp.'a$'| |tptp.'b2$'|))) (|tptp.'fun_app$o'| |tptp.'ket$'| (|tptp.'fun_app$p'| (|tptp.'fun_app$q'| |tptp.'pair$'| |tptp.'i$'|) |tptp.'j$'|))) (|tptp.'plus$u'| (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| (|tptp.'tensor_op$'| |tptp.'a$'| |tptp.'b1$'|)) (|tptp.'fun_app$o'| |tptp.'ket$'| (|tptp.'fun_app$p'| (|tptp.'fun_app$q'| |tptp.'pair$'| |tptp.'i$'|) |tptp.'j$'|))) (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| (|tptp.'tensor_op$'| |tptp.'a$'| |tptp.'b2$'|)) (|tptp.'fun_app$o'| |tptp.'ket$'| (|tptp.'fun_app$p'| (|tptp.'fun_app$q'| |tptp.'pair$'| |tptp.'i$'|) |tptp.'j$'|))))) (= (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| (|tptp.'tensor_op$'| |tptp.'a$'| |tptp.'b1$'|)) (|tptp.'fun_app$o'| |tptp.'ket$'| (|tptp.'fun_app$p'| (|tptp.'fun_app$q'| |tptp.'pair$'| |tptp.'i$'|) |tptp.'j$'|))) (|tptp.'tensor_ell2$'| (|tptp.'fun_app$t'| (|tptp.'cblinfun_apply$a'| |tptp.'a$'|) (|tptp.'ket$a'| |tptp.'i$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b1$'|) (|tptp.'ket$b'| |tptp.'j$'|)))) (= (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| (|tptp.'tensor_op$'| |tptp.'a$'| |tptp.'b2$'|)) (|tptp.'fun_app$o'| |tptp.'ket$'| (|tptp.'fun_app$p'| (|tptp.'fun_app$q'| |tptp.'pair$'| |tptp.'i$'|) |tptp.'j$'|))) (|tptp.'tensor_ell2$'| (|tptp.'fun_app$t'| (|tptp.'cblinfun_apply$a'| |tptp.'a$'|) (|tptp.'ket$a'| |tptp.'i$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b2$'|) (|tptp.'ket$b'| |tptp.'j$'|)))))) (not (= (|tptp.'tensor_ell2$'| (|tptp.'fun_app$t'| (|tptp.'cblinfun_apply$a'| |tptp.'a$'|) (|tptp.'ket$a'| |tptp.'i$'|)) (|tptp.'plus$i'| (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b1$'|) (|tptp.'ket$b'| |tptp.'j$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b2$'|) (|tptp.'ket$b'| |tptp.'j$'|)))) (|tptp.'plus$u'| (|tptp.'tensor_ell2$'| (|tptp.'fun_app$t'| (|tptp.'cblinfun_apply$a'| |tptp.'a$'|) (|tptp.'ket$a'| |tptp.'i$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b1$'|) (|tptp.'ket$b'| |tptp.'j$'|))) (|tptp.'tensor_ell2$'| (|tptp.'fun_app$t'| (|tptp.'cblinfun_apply$a'| |tptp.'a$'|) (|tptp.'ket$a'| |tptp.'i$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b2$'|) (|tptp.'ket$b'| |tptp.'j$'|))))))) :rule contraction :premises (t44.t11))
% 1.07/1.27 (step t44.t13 (cl (=> (and (= (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| (|tptp.'tensor_op$'| |tptp.'a$'| (|tptp.'fun_app$m'| (|tptp.'fun_app$n'| |tptp.'plus$a'| |tptp.'b1$'|) |tptp.'b2$'|))) (|tptp.'fun_app$o'| |tptp.'ket$'| (|tptp.'fun_app$p'| (|tptp.'fun_app$q'| |tptp.'pair$'| |tptp.'i$'|) |tptp.'j$'|))) (|tptp.'tensor_ell2$'| (|tptp.'fun_app$t'| (|tptp.'cblinfun_apply$a'| |tptp.'a$'|) (|tptp.'ket$a'| |tptp.'i$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| (|tptp.'fun_app$m'| (|tptp.'fun_app$n'| |tptp.'plus$a'| |tptp.'b1$'|) |tptp.'b2$'|)) (|tptp.'ket$b'| |tptp.'j$'|)))) (= (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| (|tptp.'fun_app$m'| (|tptp.'fun_app$n'| |tptp.'plus$a'| |tptp.'b1$'|) |tptp.'b2$'|)) (|tptp.'ket$b'| |tptp.'j$'|)) (|tptp.'plus$i'| (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b1$'|) (|tptp.'ket$b'| |tptp.'j$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b2$'|) (|tptp.'ket$b'| |tptp.'j$'|)))) (not (= (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| (|tptp.'tensor_op$'| |tptp.'a$'| (|tptp.'fun_app$m'| (|tptp.'fun_app$n'| |tptp.'plus$a'| |tptp.'b1$'|) |tptp.'b2$'|))) (|tptp.'fun_app$o'| |tptp.'ket$'| (|tptp.'fun_app$p'| (|tptp.'fun_app$q'| |tptp.'pair$'| |tptp.'i$'|) |tptp.'j$'|))) (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| (|tptp.'fun_app$r'| (|tptp.'fun_app$s'| |tptp.'plus$b'| (|tptp.'tensor_op$'| |tptp.'a$'| |tptp.'b1$'|)) (|tptp.'tensor_op$'| |tptp.'a$'| |tptp.'b2$'|))) (|tptp.'fun_app$o'| |tptp.'ket$'| (|tptp.'fun_app$p'| (|tptp.'fun_app$q'| |tptp.'pair$'| |tptp.'i$'|) |tptp.'j$'|))))) (= (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| (|tptp.'fun_app$r'| (|tptp.'fun_app$s'| |tptp.'plus$b'| (|tptp.'tensor_op$'| |tptp.'a$'| |tptp.'b1$'|)) (|tptp.'tensor_op$'| |tptp.'a$'| |tptp.'b2$'|))) (|tptp.'fun_app$o'| |tptp.'ket$'| (|tptp.'fun_app$p'| (|tptp.'fun_app$q'| |tptp.'pair$'| |tptp.'i$'|) |tptp.'j$'|))) (|tptp.'plus$u'| (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| (|tptp.'tensor_op$'| |tptp.'a$'| |tptp.'b1$'|)) (|tptp.'fun_app$o'| |tptp.'ket$'| (|tptp.'fun_app$p'| (|tptp.'fun_app$q'| |tptp.'pair$'| |tptp.'i$'|) |tptp.'j$'|))) (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| (|tptp.'tensor_op$'| |tptp.'a$'| |tptp.'b2$'|)) (|tptp.'fun_app$o'| |tptp.'ket$'| (|tptp.'fun_app$p'| (|tptp.'fun_app$q'| |tptp.'pair$'| |tptp.'i$'|) |tptp.'j$'|))))) (= (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| (|tptp.'tensor_op$'| |tptp.'a$'| |tptp.'b1$'|)) (|tptp.'fun_app$o'| |tptp.'ket$'| (|tptp.'fun_app$p'| (|tptp.'fun_app$q'| |tptp.'pair$'| |tptp.'i$'|) |tptp.'j$'|))) (|tptp.'tensor_ell2$'| (|tptp.'fun_app$t'| (|tptp.'cblinfun_apply$a'| |tptp.'a$'|) (|tptp.'ket$a'| |tptp.'i$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b1$'|) (|tptp.'ket$b'| |tptp.'j$'|)))) (= (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| (|tptp.'tensor_op$'| |tptp.'a$'| |tptp.'b2$'|)) (|tptp.'fun_app$o'| |tptp.'ket$'| (|tptp.'fun_app$p'| (|tptp.'fun_app$q'| |tptp.'pair$'| |tptp.'i$'|) |tptp.'j$'|))) (|tptp.'tensor_ell2$'| (|tptp.'fun_app$t'| (|tptp.'cblinfun_apply$a'| |tptp.'a$'|) (|tptp.'ket$a'| |tptp.'i$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b2$'|) (|tptp.'ket$b'| |tptp.'j$'|))))) (not (= (|tptp.'tensor_ell2$'| (|tptp.'fun_app$t'| (|tptp.'cblinfun_apply$a'| |tptp.'a$'|) (|tptp.'ket$a'| |tptp.'i$'|)) (|tptp.'plus$i'| (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b1$'|) (|tptp.'ket$b'| |tptp.'j$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b2$'|) (|tptp.'ket$b'| |tptp.'j$'|)))) (|tptp.'plus$u'| (|tptp.'tensor_ell2$'| (|tptp.'fun_app$t'| (|tptp.'cblinfun_apply$a'| |tptp.'a$'|) (|tptp.'ket$a'| |tptp.'i$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b1$'|) (|tptp.'ket$b'| |tptp.'j$'|))) (|tptp.'tensor_ell2$'| (|tptp.'fun_app$t'| (|tptp.'cblinfun_apply$a'| |tptp.'a$'|) (|tptp.'ket$a'| |tptp.'i$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b2$'|) (|tptp.'ket$b'| |tptp.'j$'|))))))) (not (= (|tptp.'tensor_ell2$'| (|tptp.'fun_app$t'| (|tptp.'cblinfun_apply$a'| |tptp.'a$'|) (|tptp.'ket$a'| |tptp.'i$'|)) (|tptp.'plus$i'| (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b1$'|) (|tptp.'ket$b'| |tptp.'j$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b2$'|) (|tptp.'ket$b'| |tptp.'j$'|)))) (|tptp.'plus$u'| (|tptp.'tensor_ell2$'| (|tptp.'fun_app$t'| (|tptp.'cblinfun_apply$a'| |tptp.'a$'|) (|tptp.'ket$a'| |tptp.'i$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b1$'|) (|tptp.'ket$b'| |tptp.'j$'|))) (|tptp.'tensor_ell2$'| (|tptp.'fun_app$t'| (|tptp.'cblinfun_apply$a'| |tptp.'a$'|) (|tptp.'ket$a'| |tptp.'i$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b2$'|) (|tptp.'ket$b'| |tptp.'j$'|))))))) :rule resolution :premises (t44.t2 t44.t12))
% 1.07/1.27 (step t44.t14 (cl (=> (and (= (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| (|tptp.'tensor_op$'| |tptp.'a$'| (|tptp.'fun_app$m'| (|tptp.'fun_app$n'| |tptp.'plus$a'| |tptp.'b1$'|) |tptp.'b2$'|))) (|tptp.'fun_app$o'| |tptp.'ket$'| (|tptp.'fun_app$p'| (|tptp.'fun_app$q'| |tptp.'pair$'| |tptp.'i$'|) |tptp.'j$'|))) (|tptp.'tensor_ell2$'| (|tptp.'fun_app$t'| (|tptp.'cblinfun_apply$a'| |tptp.'a$'|) (|tptp.'ket$a'| |tptp.'i$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| (|tptp.'fun_app$m'| (|tptp.'fun_app$n'| |tptp.'plus$a'| |tptp.'b1$'|) |tptp.'b2$'|)) (|tptp.'ket$b'| |tptp.'j$'|)))) (= (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| (|tptp.'fun_app$m'| (|tptp.'fun_app$n'| |tptp.'plus$a'| |tptp.'b1$'|) |tptp.'b2$'|)) (|tptp.'ket$b'| |tptp.'j$'|)) (|tptp.'plus$i'| (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b1$'|) (|tptp.'ket$b'| |tptp.'j$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b2$'|) (|tptp.'ket$b'| |tptp.'j$'|)))) (not (= (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| (|tptp.'tensor_op$'| |tptp.'a$'| (|tptp.'fun_app$m'| (|tptp.'fun_app$n'| |tptp.'plus$a'| |tptp.'b1$'|) |tptp.'b2$'|))) (|tptp.'fun_app$o'| |tptp.'ket$'| (|tptp.'fun_app$p'| (|tptp.'fun_app$q'| |tptp.'pair$'| |tptp.'i$'|) |tptp.'j$'|))) (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| (|tptp.'fun_app$r'| (|tptp.'fun_app$s'| |tptp.'plus$b'| (|tptp.'tensor_op$'| |tptp.'a$'| |tptp.'b1$'|)) (|tptp.'tensor_op$'| |tptp.'a$'| |tptp.'b2$'|))) (|tptp.'fun_app$o'| |tptp.'ket$'| (|tptp.'fun_app$p'| (|tptp.'fun_app$q'| |tptp.'pair$'| |tptp.'i$'|) |tptp.'j$'|))))) (= (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| (|tptp.'fun_app$r'| (|tptp.'fun_app$s'| |tptp.'plus$b'| (|tptp.'tensor_op$'| |tptp.'a$'| |tptp.'b1$'|)) (|tptp.'tensor_op$'| |tptp.'a$'| |tptp.'b2$'|))) (|tptp.'fun_app$o'| |tptp.'ket$'| (|tptp.'fun_app$p'| (|tptp.'fun_app$q'| |tptp.'pair$'| |tptp.'i$'|) |tptp.'j$'|))) (|tptp.'plus$u'| (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| (|tptp.'tensor_op$'| |tptp.'a$'| |tptp.'b1$'|)) (|tptp.'fun_app$o'| |tptp.'ket$'| (|tptp.'fun_app$p'| (|tptp.'fun_app$q'| |tptp.'pair$'| |tptp.'i$'|) |tptp.'j$'|))) (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| (|tptp.'tensor_op$'| |tptp.'a$'| |tptp.'b2$'|)) (|tptp.'fun_app$o'| |tptp.'ket$'| (|tptp.'fun_app$p'| (|tptp.'fun_app$q'| |tptp.'pair$'| |tptp.'i$'|) |tptp.'j$'|))))) (= (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| (|tptp.'tensor_op$'| |tptp.'a$'| |tptp.'b1$'|)) (|tptp.'fun_app$o'| |tptp.'ket$'| (|tptp.'fun_app$p'| (|tptp.'fun_app$q'| |tptp.'pair$'| |tptp.'i$'|) |tptp.'j$'|))) (|tptp.'tensor_ell2$'| (|tptp.'fun_app$t'| (|tptp.'cblinfun_apply$a'| |tptp.'a$'|) (|tptp.'ket$a'| |tptp.'i$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b1$'|) (|tptp.'ket$b'| |tptp.'j$'|)))) (= (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| (|tptp.'tensor_op$'| |tptp.'a$'| |tptp.'b2$'|)) (|tptp.'fun_app$o'| |tptp.'ket$'| (|tptp.'fun_app$p'| (|tptp.'fun_app$q'| |tptp.'pair$'| |tptp.'i$'|) |tptp.'j$'|))) (|tptp.'tensor_ell2$'| (|tptp.'fun_app$t'| (|tptp.'cblinfun_apply$a'| |tptp.'a$'|) (|tptp.'ket$a'| |tptp.'i$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b2$'|) (|tptp.'ket$b'| |tptp.'j$'|))))) (not (= (|tptp.'tensor_ell2$'| (|tptp.'fun_app$t'| (|tptp.'cblinfun_apply$a'| |tptp.'a$'|) (|tptp.'ket$a'| |tptp.'i$'|)) (|tptp.'plus$i'| (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b1$'|) (|tptp.'ket$b'| |tptp.'j$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b2$'|) (|tptp.'ket$b'| |tptp.'j$'|)))) (|tptp.'plus$u'| (|tptp.'tensor_ell2$'| (|tptp.'fun_app$t'| (|tptp.'cblinfun_apply$a'| |tptp.'a$'|) (|tptp.'ket$a'| |tptp.'i$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b1$'|) (|tptp.'ket$b'| |tptp.'j$'|))) (|tptp.'tensor_ell2$'| (|tptp.'fun_app$t'| (|tptp.'cblinfun_apply$a'| |tptp.'a$'|) (|tptp.'ket$a'| |tptp.'i$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b2$'|) (|tptp.'ket$b'| |tptp.'j$'|))))))) (not (not (= (|tptp.'tensor_ell2$'| (|tptp.'fun_app$t'| (|tptp.'cblinfun_apply$a'| |tptp.'a$'|) (|tptp.'ket$a'| |tptp.'i$'|)) (|tptp.'plus$i'| (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b1$'|) (|tptp.'ket$b'| |tptp.'j$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b2$'|) (|tptp.'ket$b'| |tptp.'j$'|)))) (|tptp.'plus$u'| (|tptp.'tensor_ell2$'| (|tptp.'fun_app$t'| (|tptp.'cblinfun_apply$a'| |tptp.'a$'|) (|tptp.'ket$a'| |tptp.'i$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b1$'|) (|tptp.'ket$b'| |tptp.'j$'|))) (|tptp.'tensor_ell2$'| (|tptp.'fun_app$t'| (|tptp.'cblinfun_apply$a'| |tptp.'a$'|) (|tptp.'ket$a'| |tptp.'i$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b2$'|) (|tptp.'ket$b'| |tptp.'j$'|)))))))) :rule implies_neg2)
% 1.07/1.27 (step t44.t15 (cl (=> (and (= (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| (|tptp.'tensor_op$'| |tptp.'a$'| (|tptp.'fun_app$m'| (|tptp.'fun_app$n'| |tptp.'plus$a'| |tptp.'b1$'|) |tptp.'b2$'|))) (|tptp.'fun_app$o'| |tptp.'ket$'| (|tptp.'fun_app$p'| (|tptp.'fun_app$q'| |tptp.'pair$'| |tptp.'i$'|) |tptp.'j$'|))) (|tptp.'tensor_ell2$'| (|tptp.'fun_app$t'| (|tptp.'cblinfun_apply$a'| |tptp.'a$'|) (|tptp.'ket$a'| |tptp.'i$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| (|tptp.'fun_app$m'| (|tptp.'fun_app$n'| |tptp.'plus$a'| |tptp.'b1$'|) |tptp.'b2$'|)) (|tptp.'ket$b'| |tptp.'j$'|)))) (= (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| (|tptp.'fun_app$m'| (|tptp.'fun_app$n'| |tptp.'plus$a'| |tptp.'b1$'|) |tptp.'b2$'|)) (|tptp.'ket$b'| |tptp.'j$'|)) (|tptp.'plus$i'| (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b1$'|) (|tptp.'ket$b'| |tptp.'j$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b2$'|) (|tptp.'ket$b'| |tptp.'j$'|)))) (not (= (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| (|tptp.'tensor_op$'| |tptp.'a$'| (|tptp.'fun_app$m'| (|tptp.'fun_app$n'| |tptp.'plus$a'| |tptp.'b1$'|) |tptp.'b2$'|))) (|tptp.'fun_app$o'| |tptp.'ket$'| (|tptp.'fun_app$p'| (|tptp.'fun_app$q'| |tptp.'pair$'| |tptp.'i$'|) |tptp.'j$'|))) (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| (|tptp.'fun_app$r'| (|tptp.'fun_app$s'| |tptp.'plus$b'| (|tptp.'tensor_op$'| |tptp.'a$'| |tptp.'b1$'|)) (|tptp.'tensor_op$'| |tptp.'a$'| |tptp.'b2$'|))) (|tptp.'fun_app$o'| |tptp.'ket$'| (|tptp.'fun_app$p'| (|tptp.'fun_app$q'| |tptp.'pair$'| |tptp.'i$'|) |tptp.'j$'|))))) (= (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| (|tptp.'fun_app$r'| (|tptp.'fun_app$s'| |tptp.'plus$b'| (|tptp.'tensor_op$'| |tptp.'a$'| |tptp.'b1$'|)) (|tptp.'tensor_op$'| |tptp.'a$'| |tptp.'b2$'|))) (|tptp.'fun_app$o'| |tptp.'ket$'| (|tptp.'fun_app$p'| (|tptp.'fun_app$q'| |tptp.'pair$'| |tptp.'i$'|) |tptp.'j$'|))) (|tptp.'plus$u'| (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| (|tptp.'tensor_op$'| |tptp.'a$'| |tptp.'b1$'|)) (|tptp.'fun_app$o'| |tptp.'ket$'| (|tptp.'fun_app$p'| (|tptp.'fun_app$q'| |tptp.'pair$'| |tptp.'i$'|) |tptp.'j$'|))) (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| (|tptp.'tensor_op$'| |tptp.'a$'| |tptp.'b2$'|)) (|tptp.'fun_app$o'| |tptp.'ket$'| (|tptp.'fun_app$p'| (|tptp.'fun_app$q'| |tptp.'pair$'| |tptp.'i$'|) |tptp.'j$'|))))) (= (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| (|tptp.'tensor_op$'| |tptp.'a$'| |tptp.'b1$'|)) (|tptp.'fun_app$o'| |tptp.'ket$'| (|tptp.'fun_app$p'| (|tptp.'fun_app$q'| |tptp.'pair$'| |tptp.'i$'|) |tptp.'j$'|))) (|tptp.'tensor_ell2$'| (|tptp.'fun_app$t'| (|tptp.'cblinfun_apply$a'| |tptp.'a$'|) (|tptp.'ket$a'| |tptp.'i$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b1$'|) (|tptp.'ket$b'| |tptp.'j$'|)))) (= (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| (|tptp.'tensor_op$'| |tptp.'a$'| |tptp.'b2$'|)) (|tptp.'fun_app$o'| |tptp.'ket$'| (|tptp.'fun_app$p'| (|tptp.'fun_app$q'| |tptp.'pair$'| |tptp.'i$'|) |tptp.'j$'|))) (|tptp.'tensor_ell2$'| (|tptp.'fun_app$t'| (|tptp.'cblinfun_apply$a'| |tptp.'a$'|) (|tptp.'ket$a'| |tptp.'i$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b2$'|) (|tptp.'ket$b'| |tptp.'j$'|))))) (not (= (|tptp.'tensor_ell2$'| (|tptp.'fun_app$t'| (|tptp.'cblinfun_apply$a'| |tptp.'a$'|) (|tptp.'ket$a'| |tptp.'i$'|)) (|tptp.'plus$i'| (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b1$'|) (|tptp.'ket$b'| |tptp.'j$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b2$'|) (|tptp.'ket$b'| |tptp.'j$'|)))) (|tptp.'plus$u'| (|tptp.'tensor_ell2$'| (|tptp.'fun_app$t'| (|tptp.'cblinfun_apply$a'| |tptp.'a$'|) (|tptp.'ket$a'| |tptp.'i$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b1$'|) (|tptp.'ket$b'| |tptp.'j$'|))) (|tptp.'tensor_ell2$'| (|tptp.'fun_app$t'| (|tptp.'cblinfun_apply$a'| |tptp.'a$'|) (|tptp.'ket$a'| |tptp.'i$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b2$'|) (|tptp.'ket$b'| |tptp.'j$'|))))))) (=> (and (= (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| (|tptp.'tensor_op$'| |tptp.'a$'| (|tptp.'fun_app$m'| (|tptp.'fun_app$n'| |tptp.'plus$a'| |tptp.'b1$'|) |tptp.'b2$'|))) (|tptp.'fun_app$o'| |tptp.'ket$'| (|tptp.'fun_app$p'| (|tptp.'fun_app$q'| |tptp.'pair$'| |tptp.'i$'|) |tptp.'j$'|))) (|tptp.'tensor_ell2$'| (|tptp.'fun_app$t'| (|tptp.'cblinfun_apply$a'| |tptp.'a$'|) (|tptp.'ket$a'| |tptp.'i$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| (|tptp.'fun_app$m'| (|tptp.'fun_app$n'| |tptp.'plus$a'| |tptp.'b1$'|) |tptp.'b2$'|)) (|tptp.'ket$b'| |tptp.'j$'|)))) (= (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| (|tptp.'fun_app$m'| (|tptp.'fun_app$n'| |tptp.'plus$a'| |tptp.'b1$'|) |tptp.'b2$'|)) (|tptp.'ket$b'| |tptp.'j$'|)) (|tptp.'plus$i'| (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b1$'|) (|tptp.'ket$b'| |tptp.'j$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b2$'|) (|tptp.'ket$b'| |tptp.'j$'|)))) (not (= (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| (|tptp.'tensor_op$'| |tptp.'a$'| (|tptp.'fun_app$m'| (|tptp.'fun_app$n'| |tptp.'plus$a'| |tptp.'b1$'|) |tptp.'b2$'|))) (|tptp.'fun_app$o'| |tptp.'ket$'| (|tptp.'fun_app$p'| (|tptp.'fun_app$q'| |tptp.'pair$'| |tptp.'i$'|) |tptp.'j$'|))) (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| (|tptp.'fun_app$r'| (|tptp.'fun_app$s'| |tptp.'plus$b'| (|tptp.'tensor_op$'| |tptp.'a$'| |tptp.'b1$'|)) (|tptp.'tensor_op$'| |tptp.'a$'| |tptp.'b2$'|))) (|tptp.'fun_app$o'| |tptp.'ket$'| (|tptp.'fun_app$p'| (|tptp.'fun_app$q'| |tptp.'pair$'| |tptp.'i$'|) |tptp.'j$'|))))) (= (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| (|tptp.'fun_app$r'| (|tptp.'fun_app$s'| |tptp.'plus$b'| (|tptp.'tensor_op$'| |tptp.'a$'| |tptp.'b1$'|)) (|tptp.'tensor_op$'| |tptp.'a$'| |tptp.'b2$'|))) (|tptp.'fun_app$o'| |tptp.'ket$'| (|tptp.'fun_app$p'| (|tptp.'fun_app$q'| |tptp.'pair$'| |tptp.'i$'|) |tptp.'j$'|))) (|tptp.'plus$u'| (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| (|tptp.'tensor_op$'| |tptp.'a$'| |tptp.'b1$'|)) (|tptp.'fun_app$o'| |tptp.'ket$'| (|tptp.'fun_app$p'| (|tptp.'fun_app$q'| |tptp.'pair$'| |tptp.'i$'|) |tptp.'j$'|))) (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| (|tptp.'tensor_op$'| |tptp.'a$'| |tptp.'b2$'|)) (|tptp.'fun_app$o'| |tptp.'ket$'| (|tptp.'fun_app$p'| (|tptp.'fun_app$q'| |tptp.'pair$'| |tptp.'i$'|) |tptp.'j$'|))))) (= (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| (|tptp.'tensor_op$'| |tptp.'a$'| |tptp.'b1$'|)) (|tptp.'fun_app$o'| |tptp.'ket$'| (|tptp.'fun_app$p'| (|tptp.'fun_app$q'| |tptp.'pair$'| |tptp.'i$'|) |tptp.'j$'|))) (|tptp.'tensor_ell2$'| (|tptp.'fun_app$t'| (|tptp.'cblinfun_apply$a'| |tptp.'a$'|) (|tptp.'ket$a'| |tptp.'i$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b1$'|) (|tptp.'ket$b'| |tptp.'j$'|)))) (= (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| (|tptp.'tensor_op$'| |tptp.'a$'| |tptp.'b2$'|)) (|tptp.'fun_app$o'| |tptp.'ket$'| (|tptp.'fun_app$p'| (|tptp.'fun_app$q'| |tptp.'pair$'| |tptp.'i$'|) |tptp.'j$'|))) (|tptp.'tensor_ell2$'| (|tptp.'fun_app$t'| (|tptp.'cblinfun_apply$a'| |tptp.'a$'|) (|tptp.'ket$a'| |tptp.'i$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b2$'|) (|tptp.'ket$b'| |tptp.'j$'|))))) (not (= (|tptp.'tensor_ell2$'| (|tptp.'fun_app$t'| (|tptp.'cblinfun_apply$a'| |tptp.'a$'|) (|tptp.'ket$a'| |tptp.'i$'|)) (|tptp.'plus$i'| (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b1$'|) (|tptp.'ket$b'| |tptp.'j$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b2$'|) (|tptp.'ket$b'| |tptp.'j$'|)))) (|tptp.'plus$u'| (|tptp.'tensor_ell2$'| (|tptp.'fun_app$t'| (|tptp.'cblinfun_apply$a'| |tptp.'a$'|) (|tptp.'ket$a'| |tptp.'i$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b1$'|) (|tptp.'ket$b'| |tptp.'j$'|))) (|tptp.'tensor_ell2$'| (|tptp.'fun_app$t'| (|tptp.'cblinfun_apply$a'| |tptp.'a$'|) (|tptp.'ket$a'| |tptp.'i$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b2$'|) (|tptp.'ket$b'| |tptp.'j$'|)))))))) :rule resolution :premises (t44.t13 t44.t14))
% 1.07/1.27 (step t44.t16 (cl (=> (and (= (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| (|tptp.'tensor_op$'| |tptp.'a$'| (|tptp.'fun_app$m'| (|tptp.'fun_app$n'| |tptp.'plus$a'| |tptp.'b1$'|) |tptp.'b2$'|))) (|tptp.'fun_app$o'| |tptp.'ket$'| (|tptp.'fun_app$p'| (|tptp.'fun_app$q'| |tptp.'pair$'| |tptp.'i$'|) |tptp.'j$'|))) (|tptp.'tensor_ell2$'| (|tptp.'fun_app$t'| (|tptp.'cblinfun_apply$a'| |tptp.'a$'|) (|tptp.'ket$a'| |tptp.'i$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| (|tptp.'fun_app$m'| (|tptp.'fun_app$n'| |tptp.'plus$a'| |tptp.'b1$'|) |tptp.'b2$'|)) (|tptp.'ket$b'| |tptp.'j$'|)))) (= (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| (|tptp.'fun_app$m'| (|tptp.'fun_app$n'| |tptp.'plus$a'| |tptp.'b1$'|) |tptp.'b2$'|)) (|tptp.'ket$b'| |tptp.'j$'|)) (|tptp.'plus$i'| (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b1$'|) (|tptp.'ket$b'| |tptp.'j$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b2$'|) (|tptp.'ket$b'| |tptp.'j$'|)))) (not (= (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| (|tptp.'tensor_op$'| |tptp.'a$'| (|tptp.'fun_app$m'| (|tptp.'fun_app$n'| |tptp.'plus$a'| |tptp.'b1$'|) |tptp.'b2$'|))) (|tptp.'fun_app$o'| |tptp.'ket$'| (|tptp.'fun_app$p'| (|tptp.'fun_app$q'| |tptp.'pair$'| |tptp.'i$'|) |tptp.'j$'|))) (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| (|tptp.'fun_app$r'| (|tptp.'fun_app$s'| |tptp.'plus$b'| (|tptp.'tensor_op$'| |tptp.'a$'| |tptp.'b1$'|)) (|tptp.'tensor_op$'| |tptp.'a$'| |tptp.'b2$'|))) (|tptp.'fun_app$o'| |tptp.'ket$'| (|tptp.'fun_app$p'| (|tptp.'fun_app$q'| |tptp.'pair$'| |tptp.'i$'|) |tptp.'j$'|))))) (= (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| (|tptp.'fun_app$r'| (|tptp.'fun_app$s'| |tptp.'plus$b'| (|tptp.'tensor_op$'| |tptp.'a$'| |tptp.'b1$'|)) (|tptp.'tensor_op$'| |tptp.'a$'| |tptp.'b2$'|))) (|tptp.'fun_app$o'| |tptp.'ket$'| (|tptp.'fun_app$p'| (|tptp.'fun_app$q'| |tptp.'pair$'| |tptp.'i$'|) |tptp.'j$'|))) (|tptp.'plus$u'| (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| (|tptp.'tensor_op$'| |tptp.'a$'| |tptp.'b1$'|)) (|tptp.'fun_app$o'| |tptp.'ket$'| (|tptp.'fun_app$p'| (|tptp.'fun_app$q'| |tptp.'pair$'| |tptp.'i$'|) |tptp.'j$'|))) (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| (|tptp.'tensor_op$'| |tptp.'a$'| |tptp.'b2$'|)) (|tptp.'fun_app$o'| |tptp.'ket$'| (|tptp.'fun_app$p'| (|tptp.'fun_app$q'| |tptp.'pair$'| |tptp.'i$'|) |tptp.'j$'|))))) (= (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| (|tptp.'tensor_op$'| |tptp.'a$'| |tptp.'b1$'|)) (|tptp.'fun_app$o'| |tptp.'ket$'| (|tptp.'fun_app$p'| (|tptp.'fun_app$q'| |tptp.'pair$'| |tptp.'i$'|) |tptp.'j$'|))) (|tptp.'tensor_ell2$'| (|tptp.'fun_app$t'| (|tptp.'cblinfun_apply$a'| |tptp.'a$'|) (|tptp.'ket$a'| |tptp.'i$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b1$'|) (|tptp.'ket$b'| |tptp.'j$'|)))) (= (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| (|tptp.'tensor_op$'| |tptp.'a$'| |tptp.'b2$'|)) (|tptp.'fun_app$o'| |tptp.'ket$'| (|tptp.'fun_app$p'| (|tptp.'fun_app$q'| |tptp.'pair$'| |tptp.'i$'|) |tptp.'j$'|))) (|tptp.'tensor_ell2$'| (|tptp.'fun_app$t'| (|tptp.'cblinfun_apply$a'| |tptp.'a$'|) (|tptp.'ket$a'| |tptp.'i$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b2$'|) (|tptp.'ket$b'| |tptp.'j$'|))))) (not (= (|tptp.'tensor_ell2$'| (|tptp.'fun_app$t'| (|tptp.'cblinfun_apply$a'| |tptp.'a$'|) (|tptp.'ket$a'| |tptp.'i$'|)) (|tptp.'plus$i'| (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b1$'|) (|tptp.'ket$b'| |tptp.'j$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b2$'|) (|tptp.'ket$b'| |tptp.'j$'|)))) (|tptp.'plus$u'| (|tptp.'tensor_ell2$'| (|tptp.'fun_app$t'| (|tptp.'cblinfun_apply$a'| |tptp.'a$'|) (|tptp.'ket$a'| |tptp.'i$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b1$'|) (|tptp.'ket$b'| |tptp.'j$'|))) (|tptp.'tensor_ell2$'| (|tptp.'fun_app$t'| (|tptp.'cblinfun_apply$a'| |tptp.'a$'|) (|tptp.'ket$a'| |tptp.'i$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b2$'|) (|tptp.'ket$b'| |tptp.'j$'|)))))))) :rule contraction :premises (t44.t15))
% 1.07/1.27 (step t44.t17 (cl (not (and (= (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| (|tptp.'tensor_op$'| |tptp.'a$'| (|tptp.'fun_app$m'| (|tptp.'fun_app$n'| |tptp.'plus$a'| |tptp.'b1$'|) |tptp.'b2$'|))) (|tptp.'fun_app$o'| |tptp.'ket$'| (|tptp.'fun_app$p'| (|tptp.'fun_app$q'| |tptp.'pair$'| |tptp.'i$'|) |tptp.'j$'|))) (|tptp.'tensor_ell2$'| (|tptp.'fun_app$t'| (|tptp.'cblinfun_apply$a'| |tptp.'a$'|) (|tptp.'ket$a'| |tptp.'i$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| (|tptp.'fun_app$m'| (|tptp.'fun_app$n'| |tptp.'plus$a'| |tptp.'b1$'|) |tptp.'b2$'|)) (|tptp.'ket$b'| |tptp.'j$'|)))) (= (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| (|tptp.'fun_app$m'| (|tptp.'fun_app$n'| |tptp.'plus$a'| |tptp.'b1$'|) |tptp.'b2$'|)) (|tptp.'ket$b'| |tptp.'j$'|)) (|tptp.'plus$i'| (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b1$'|) (|tptp.'ket$b'| |tptp.'j$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b2$'|) (|tptp.'ket$b'| |tptp.'j$'|)))) (not (= (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| (|tptp.'tensor_op$'| |tptp.'a$'| (|tptp.'fun_app$m'| (|tptp.'fun_app$n'| |tptp.'plus$a'| |tptp.'b1$'|) |tptp.'b2$'|))) (|tptp.'fun_app$o'| |tptp.'ket$'| (|tptp.'fun_app$p'| (|tptp.'fun_app$q'| |tptp.'pair$'| |tptp.'i$'|) |tptp.'j$'|))) (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| (|tptp.'fun_app$r'| (|tptp.'fun_app$s'| |tptp.'plus$b'| (|tptp.'tensor_op$'| |tptp.'a$'| |tptp.'b1$'|)) (|tptp.'tensor_op$'| |tptp.'a$'| |tptp.'b2$'|))) (|tptp.'fun_app$o'| |tptp.'ket$'| (|tptp.'fun_app$p'| (|tptp.'fun_app$q'| |tptp.'pair$'| |tptp.'i$'|) |tptp.'j$'|))))) (= (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| (|tptp.'fun_app$r'| (|tptp.'fun_app$s'| |tptp.'plus$b'| (|tptp.'tensor_op$'| |tptp.'a$'| |tptp.'b1$'|)) (|tptp.'tensor_op$'| |tptp.'a$'| |tptp.'b2$'|))) (|tptp.'fun_app$o'| |tptp.'ket$'| (|tptp.'fun_app$p'| (|tptp.'fun_app$q'| |tptp.'pair$'| |tptp.'i$'|) |tptp.'j$'|))) (|tptp.'plus$u'| (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| (|tptp.'tensor_op$'| |tptp.'a$'| |tptp.'b1$'|)) (|tptp.'fun_app$o'| |tptp.'ket$'| (|tptp.'fun_app$p'| (|tptp.'fun_app$q'| |tptp.'pair$'| |tptp.'i$'|) |tptp.'j$'|))) (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| (|tptp.'tensor_op$'| |tptp.'a$'| |tptp.'b2$'|)) (|tptp.'fun_app$o'| |tptp.'ket$'| (|tptp.'fun_app$p'| (|tptp.'fun_app$q'| |tptp.'pair$'| |tptp.'i$'|) |tptp.'j$'|))))) (= (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| (|tptp.'tensor_op$'| |tptp.'a$'| |tptp.'b1$'|)) (|tptp.'fun_app$o'| |tptp.'ket$'| (|tptp.'fun_app$p'| (|tptp.'fun_app$q'| |tptp.'pair$'| |tptp.'i$'|) |tptp.'j$'|))) (|tptp.'tensor_ell2$'| (|tptp.'fun_app$t'| (|tptp.'cblinfun_apply$a'| |tptp.'a$'|) (|tptp.'ket$a'| |tptp.'i$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b1$'|) (|tptp.'ket$b'| |tptp.'j$'|)))) (= (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| (|tptp.'tensor_op$'| |tptp.'a$'| |tptp.'b2$'|)) (|tptp.'fun_app$o'| |tptp.'ket$'| (|tptp.'fun_app$p'| (|tptp.'fun_app$q'| |tptp.'pair$'| |tptp.'i$'|) |tptp.'j$'|))) (|tptp.'tensor_ell2$'| (|tptp.'fun_app$t'| (|tptp.'cblinfun_apply$a'| |tptp.'a$'|) (|tptp.'ket$a'| |tptp.'i$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b2$'|) (|tptp.'ket$b'| |tptp.'j$'|)))))) (not (= (|tptp.'tensor_ell2$'| (|tptp.'fun_app$t'| (|tptp.'cblinfun_apply$a'| |tptp.'a$'|) (|tptp.'ket$a'| |tptp.'i$'|)) (|tptp.'plus$i'| (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b1$'|) (|tptp.'ket$b'| |tptp.'j$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b2$'|) (|tptp.'ket$b'| |tptp.'j$'|)))) (|tptp.'plus$u'| (|tptp.'tensor_ell2$'| (|tptp.'fun_app$t'| (|tptp.'cblinfun_apply$a'| |tptp.'a$'|) (|tptp.'ket$a'| |tptp.'i$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b1$'|) (|tptp.'ket$b'| |tptp.'j$'|))) (|tptp.'tensor_ell2$'| (|tptp.'fun_app$t'| (|tptp.'cblinfun_apply$a'| |tptp.'a$'|) (|tptp.'ket$a'| |tptp.'i$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b2$'|) (|tptp.'ket$b'| |tptp.'j$'|))))))) :rule implies :premises (t44.t16))
% 1.07/1.27 (step t44.t18 (cl (and (= (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| (|tptp.'tensor_op$'| |tptp.'a$'| (|tptp.'fun_app$m'| (|tptp.'fun_app$n'| |tptp.'plus$a'| |tptp.'b1$'|) |tptp.'b2$'|))) (|tptp.'fun_app$o'| |tptp.'ket$'| (|tptp.'fun_app$p'| (|tptp.'fun_app$q'| |tptp.'pair$'| |tptp.'i$'|) |tptp.'j$'|))) (|tptp.'tensor_ell2$'| (|tptp.'fun_app$t'| (|tptp.'cblinfun_apply$a'| |tptp.'a$'|) (|tptp.'ket$a'| |tptp.'i$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| (|tptp.'fun_app$m'| (|tptp.'fun_app$n'| |tptp.'plus$a'| |tptp.'b1$'|) |tptp.'b2$'|)) (|tptp.'ket$b'| |tptp.'j$'|)))) (= (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| (|tptp.'fun_app$m'| (|tptp.'fun_app$n'| |tptp.'plus$a'| |tptp.'b1$'|) |tptp.'b2$'|)) (|tptp.'ket$b'| |tptp.'j$'|)) (|tptp.'plus$i'| (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b1$'|) (|tptp.'ket$b'| |tptp.'j$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b2$'|) (|tptp.'ket$b'| |tptp.'j$'|)))) (not (= (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| (|tptp.'tensor_op$'| |tptp.'a$'| (|tptp.'fun_app$m'| (|tptp.'fun_app$n'| |tptp.'plus$a'| |tptp.'b1$'|) |tptp.'b2$'|))) (|tptp.'fun_app$o'| |tptp.'ket$'| (|tptp.'fun_app$p'| (|tptp.'fun_app$q'| |tptp.'pair$'| |tptp.'i$'|) |tptp.'j$'|))) (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| (|tptp.'fun_app$r'| (|tptp.'fun_app$s'| |tptp.'plus$b'| (|tptp.'tensor_op$'| |tptp.'a$'| |tptp.'b1$'|)) (|tptp.'tensor_op$'| |tptp.'a$'| |tptp.'b2$'|))) (|tptp.'fun_app$o'| |tptp.'ket$'| (|tptp.'fun_app$p'| (|tptp.'fun_app$q'| |tptp.'pair$'| |tptp.'i$'|) |tptp.'j$'|))))) (= (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| (|tptp.'fun_app$r'| (|tptp.'fun_app$s'| |tptp.'plus$b'| (|tptp.'tensor_op$'| |tptp.'a$'| |tptp.'b1$'|)) (|tptp.'tensor_op$'| |tptp.'a$'| |tptp.'b2$'|))) (|tptp.'fun_app$o'| |tptp.'ket$'| (|tptp.'fun_app$p'| (|tptp.'fun_app$q'| |tptp.'pair$'| |tptp.'i$'|) |tptp.'j$'|))) (|tptp.'plus$u'| (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| (|tptp.'tensor_op$'| |tptp.'a$'| |tptp.'b1$'|)) (|tptp.'fun_app$o'| |tptp.'ket$'| (|tptp.'fun_app$p'| (|tptp.'fun_app$q'| |tptp.'pair$'| |tptp.'i$'|) |tptp.'j$'|))) (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| (|tptp.'tensor_op$'| |tptp.'a$'| |tptp.'b2$'|)) (|tptp.'fun_app$o'| |tptp.'ket$'| (|tptp.'fun_app$p'| (|tptp.'fun_app$q'| |tptp.'pair$'| |tptp.'i$'|) |tptp.'j$'|))))) (= (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| (|tptp.'tensor_op$'| |tptp.'a$'| |tptp.'b1$'|)) (|tptp.'fun_app$o'| |tptp.'ket$'| (|tptp.'fun_app$p'| (|tptp.'fun_app$q'| |tptp.'pair$'| |tptp.'i$'|) |tptp.'j$'|))) (|tptp.'tensor_ell2$'| (|tptp.'fun_app$t'| (|tptp.'cblinfun_apply$a'| |tptp.'a$'|) (|tptp.'ket$a'| |tptp.'i$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b1$'|) (|tptp.'ket$b'| |tptp.'j$'|)))) (= (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| (|tptp.'tensor_op$'| |tptp.'a$'| |tptp.'b2$'|)) (|tptp.'fun_app$o'| |tptp.'ket$'| (|tptp.'fun_app$p'| (|tptp.'fun_app$q'| |tptp.'pair$'| |tptp.'i$'|) |tptp.'j$'|))) (|tptp.'tensor_ell2$'| (|tptp.'fun_app$t'| (|tptp.'cblinfun_apply$a'| |tptp.'a$'|) (|tptp.'ket$a'| |tptp.'i$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b2$'|) (|tptp.'ket$b'| |tptp.'j$'|))))) (not (= (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| (|tptp.'tensor_op$'| |tptp.'a$'| (|tptp.'fun_app$m'| (|tptp.'fun_app$n'| |tptp.'plus$a'| |tptp.'b1$'|) |tptp.'b2$'|))) (|tptp.'fun_app$o'| |tptp.'ket$'| (|tptp.'fun_app$p'| (|tptp.'fun_app$q'| |tptp.'pair$'| |tptp.'i$'|) |tptp.'j$'|))) (|tptp.'tensor_ell2$'| (|tptp.'fun_app$t'| (|tptp.'cblinfun_apply$a'| |tptp.'a$'|) (|tptp.'ket$a'| |tptp.'i$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| (|tptp.'fun_app$m'| (|tptp.'fun_app$n'| |tptp.'plus$a'| |tptp.'b1$'|) |tptp.'b2$'|)) (|tptp.'ket$b'| |tptp.'j$'|))))) (not (= (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| (|tptp.'fun_app$m'| (|tptp.'fun_app$n'| |tptp.'plus$a'| |tptp.'b1$'|) |tptp.'b2$'|)) (|tptp.'ket$b'| |tptp.'j$'|)) (|tptp.'plus$i'| (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b1$'|) (|tptp.'ket$b'| |tptp.'j$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b2$'|) (|tptp.'ket$b'| |tptp.'j$'|))))) (not (not (= (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| (|tptp.'tensor_op$'| |tptp.'a$'| (|tptp.'fun_app$m'| (|tptp.'fun_app$n'| |tptp.'plus$a'| |tptp.'b1$'|) |tptp.'b2$'|))) (|tptp.'fun_app$o'| |tptp.'ket$'| (|tptp.'fun_app$p'| (|tptp.'fun_app$q'| |tptp.'pair$'| |tptp.'i$'|) |tptp.'j$'|))) (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| (|tptp.'fun_app$r'| (|tptp.'fun_app$s'| |tptp.'plus$b'| (|tptp.'tensor_op$'| |tptp.'a$'| |tptp.'b1$'|)) (|tptp.'tensor_op$'| |tptp.'a$'| |tptp.'b2$'|))) (|tptp.'fun_app$o'| |tptp.'ket$'| (|tptp.'fun_app$p'| (|tptp.'fun_app$q'| |tptp.'pair$'| |tptp.'i$'|) |tptp.'j$'|)))))) (not (= (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| (|tptp.'fun_app$r'| (|tptp.'fun_app$s'| |tptp.'plus$b'| (|tptp.'tensor_op$'| |tptp.'a$'| |tptp.'b1$'|)) (|tptp.'tensor_op$'| |tptp.'a$'| |tptp.'b2$'|))) (|tptp.'fun_app$o'| |tptp.'ket$'| (|tptp.'fun_app$p'| (|tptp.'fun_app$q'| |tptp.'pair$'| |tptp.'i$'|) |tptp.'j$'|))) (|tptp.'plus$u'| (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| (|tptp.'tensor_op$'| |tptp.'a$'| |tptp.'b1$'|)) (|tptp.'fun_app$o'| |tptp.'ket$'| (|tptp.'fun_app$p'| (|tptp.'fun_app$q'| |tptp.'pair$'| |tptp.'i$'|) |tptp.'j$'|))) (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| (|tptp.'tensor_op$'| |tptp.'a$'| |tptp.'b2$'|)) (|tptp.'fun_app$o'| |tptp.'ket$'| (|tptp.'fun_app$p'| (|tptp.'fun_app$q'| |tptp.'pair$'| |tptp.'i$'|) |tptp.'j$'|)))))) (not (= (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| (|tptp.'tensor_op$'| |tptp.'a$'| |tptp.'b1$'|)) (|tptp.'fun_app$o'| |tptp.'ket$'| (|tptp.'fun_app$p'| (|tptp.'fun_app$q'| |tptp.'pair$'| |tptp.'i$'|) |tptp.'j$'|))) (|tptp.'tensor_ell2$'| (|tptp.'fun_app$t'| (|tptp.'cblinfun_apply$a'| |tptp.'a$'|) (|tptp.'ket$a'| |tptp.'i$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b1$'|) (|tptp.'ket$b'| |tptp.'j$'|))))) (not (= (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| (|tptp.'tensor_op$'| |tptp.'a$'| |tptp.'b2$'|)) (|tptp.'fun_app$o'| |tptp.'ket$'| (|tptp.'fun_app$p'| (|tptp.'fun_app$q'| |tptp.'pair$'| |tptp.'i$'|) |tptp.'j$'|))) (|tptp.'tensor_ell2$'| (|tptp.'fun_app$t'| (|tptp.'cblinfun_apply$a'| |tptp.'a$'|) (|tptp.'ket$a'| |tptp.'i$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b2$'|) (|tptp.'ket$b'| |tptp.'j$'|)))))) :rule and_neg)
% 1.07/1.27 (step t44.t19 (cl (and (= (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| (|tptp.'tensor_op$'| |tptp.'a$'| (|tptp.'fun_app$m'| (|tptp.'fun_app$n'| |tptp.'plus$a'| |tptp.'b1$'|) |tptp.'b2$'|))) (|tptp.'fun_app$o'| |tptp.'ket$'| (|tptp.'fun_app$p'| (|tptp.'fun_app$q'| |tptp.'pair$'| |tptp.'i$'|) |tptp.'j$'|))) (|tptp.'tensor_ell2$'| (|tptp.'fun_app$t'| (|tptp.'cblinfun_apply$a'| |tptp.'a$'|) (|tptp.'ket$a'| |tptp.'i$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| (|tptp.'fun_app$m'| (|tptp.'fun_app$n'| |tptp.'plus$a'| |tptp.'b1$'|) |tptp.'b2$'|)) (|tptp.'ket$b'| |tptp.'j$'|)))) (= (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| (|tptp.'fun_app$m'| (|tptp.'fun_app$n'| |tptp.'plus$a'| |tptp.'b1$'|) |tptp.'b2$'|)) (|tptp.'ket$b'| |tptp.'j$'|)) (|tptp.'plus$i'| (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b1$'|) (|tptp.'ket$b'| |tptp.'j$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b2$'|) (|tptp.'ket$b'| |tptp.'j$'|)))) (not (= (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| (|tptp.'tensor_op$'| |tptp.'a$'| (|tptp.'fun_app$m'| (|tptp.'fun_app$n'| |tptp.'plus$a'| |tptp.'b1$'|) |tptp.'b2$'|))) (|tptp.'fun_app$o'| |tptp.'ket$'| (|tptp.'fun_app$p'| (|tptp.'fun_app$q'| |tptp.'pair$'| |tptp.'i$'|) |tptp.'j$'|))) (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| (|tptp.'fun_app$r'| (|tptp.'fun_app$s'| |tptp.'plus$b'| (|tptp.'tensor_op$'| |tptp.'a$'| |tptp.'b1$'|)) (|tptp.'tensor_op$'| |tptp.'a$'| |tptp.'b2$'|))) (|tptp.'fun_app$o'| |tptp.'ket$'| (|tptp.'fun_app$p'| (|tptp.'fun_app$q'| |tptp.'pair$'| |tptp.'i$'|) |tptp.'j$'|))))) (= (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| (|tptp.'fun_app$r'| (|tptp.'fun_app$s'| |tptp.'plus$b'| (|tptp.'tensor_op$'| |tptp.'a$'| |tptp.'b1$'|)) (|tptp.'tensor_op$'| |tptp.'a$'| |tptp.'b2$'|))) (|tptp.'fun_app$o'| |tptp.'ket$'| (|tptp.'fun_app$p'| (|tptp.'fun_app$q'| |tptp.'pair$'| |tptp.'i$'|) |tptp.'j$'|))) (|tptp.'plus$u'| (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| (|tptp.'tensor_op$'| |tptp.'a$'| |tptp.'b1$'|)) (|tptp.'fun_app$o'| |tptp.'ket$'| (|tptp.'fun_app$p'| (|tptp.'fun_app$q'| |tptp.'pair$'| |tptp.'i$'|) |tptp.'j$'|))) (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| (|tptp.'tensor_op$'| |tptp.'a$'| |tptp.'b2$'|)) (|tptp.'fun_app$o'| |tptp.'ket$'| (|tptp.'fun_app$p'| (|tptp.'fun_app$q'| |tptp.'pair$'| |tptp.'i$'|) |tptp.'j$'|))))) (= (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| (|tptp.'tensor_op$'| |tptp.'a$'| |tptp.'b1$'|)) (|tptp.'fun_app$o'| |tptp.'ket$'| (|tptp.'fun_app$p'| (|tptp.'fun_app$q'| |tptp.'pair$'| |tptp.'i$'|) |tptp.'j$'|))) (|tptp.'tensor_ell2$'| (|tptp.'fun_app$t'| (|tptp.'cblinfun_apply$a'| |tptp.'a$'|) (|tptp.'ket$a'| |tptp.'i$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b1$'|) (|tptp.'ket$b'| |tptp.'j$'|)))) (= (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| (|tptp.'tensor_op$'| |tptp.'a$'| |tptp.'b2$'|)) (|tptp.'fun_app$o'| |tptp.'ket$'| (|tptp.'fun_app$p'| (|tptp.'fun_app$q'| |tptp.'pair$'| |tptp.'i$'|) |tptp.'j$'|))) (|tptp.'tensor_ell2$'| (|tptp.'fun_app$t'| (|tptp.'cblinfun_apply$a'| |tptp.'a$'|) (|tptp.'ket$a'| |tptp.'i$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b2$'|) (|tptp.'ket$b'| |tptp.'j$'|)))))) :rule resolution :premises (t44.t18 t44.a1 t44.a5 t44.a0 t44.a2 t44.a4 t44.a3))
% 1.07/1.27 (step t44.t20 (cl (not (= (|tptp.'tensor_ell2$'| (|tptp.'fun_app$t'| (|tptp.'cblinfun_apply$a'| |tptp.'a$'|) (|tptp.'ket$a'| |tptp.'i$'|)) (|tptp.'plus$i'| (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b1$'|) (|tptp.'ket$b'| |tptp.'j$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b2$'|) (|tptp.'ket$b'| |tptp.'j$'|)))) (|tptp.'plus$u'| (|tptp.'tensor_ell2$'| (|tptp.'fun_app$t'| (|tptp.'cblinfun_apply$a'| |tptp.'a$'|) (|tptp.'ket$a'| |tptp.'i$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b1$'|) (|tptp.'ket$b'| |tptp.'j$'|))) (|tptp.'tensor_ell2$'| (|tptp.'fun_app$t'| (|tptp.'cblinfun_apply$a'| |tptp.'a$'|) (|tptp.'ket$a'| |tptp.'i$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b2$'|) (|tptp.'ket$b'| |tptp.'j$'|))))))) :rule resolution :premises (t44.t17 t44.t19))
% 1.07/1.27 (step t44.t21 (cl (and (= (|tptp.'tensor_ell2$'| (|tptp.'fun_app$t'| (|tptp.'cblinfun_apply$a'| |tptp.'a$'|) (|tptp.'ket$a'| |tptp.'i$'|)) (|tptp.'plus$i'| (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b1$'|) (|tptp.'ket$b'| |tptp.'j$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b2$'|) (|tptp.'ket$b'| |tptp.'j$'|)))) (|tptp.'plus$u'| (|tptp.'tensor_ell2$'| (|tptp.'fun_app$t'| (|tptp.'cblinfun_apply$a'| |tptp.'a$'|) (|tptp.'ket$a'| |tptp.'i$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b1$'|) (|tptp.'ket$b'| |tptp.'j$'|))) (|tptp.'tensor_ell2$'| (|tptp.'fun_app$t'| (|tptp.'cblinfun_apply$a'| |tptp.'a$'|) (|tptp.'ket$a'| |tptp.'i$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b2$'|) (|tptp.'ket$b'| |tptp.'j$'|))))) (not (= (|tptp.'tensor_ell2$'| (|tptp.'fun_app$t'| (|tptp.'cblinfun_apply$a'| |tptp.'a$'|) (|tptp.'ket$a'| |tptp.'i$'|)) (|tptp.'plus$i'| (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b1$'|) (|tptp.'ket$b'| |tptp.'j$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b2$'|) (|tptp.'ket$b'| |tptp.'j$'|)))) (|tptp.'plus$u'| (|tptp.'tensor_ell2$'| (|tptp.'fun_app$t'| (|tptp.'cblinfun_apply$a'| |tptp.'a$'|) (|tptp.'ket$a'| |tptp.'i$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b1$'|) (|tptp.'ket$b'| |tptp.'j$'|))) (|tptp.'tensor_ell2$'| (|tptp.'fun_app$t'| (|tptp.'cblinfun_apply$a'| |tptp.'a$'|) (|tptp.'ket$a'| |tptp.'i$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b2$'|) (|tptp.'ket$b'| |tptp.'j$'|)))))))) :rule resolution :premises (t44.t1 t44.a6 t44.t20))
% 1.07/1.27 (step t44 (cl (not (not (= (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| (|tptp.'tensor_op$'| |tptp.'a$'| (|tptp.'fun_app$m'| (|tptp.'fun_app$n'| |tptp.'plus$a'| |tptp.'b1$'|) |tptp.'b2$'|))) (|tptp.'fun_app$o'| |tptp.'ket$'| (|tptp.'fun_app$p'| (|tptp.'fun_app$q'| |tptp.'pair$'| |tptp.'i$'|) |tptp.'j$'|))) (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| (|tptp.'fun_app$r'| (|tptp.'fun_app$s'| |tptp.'plus$b'| (|tptp.'tensor_op$'| |tptp.'a$'| |tptp.'b1$'|)) (|tptp.'tensor_op$'| |tptp.'a$'| |tptp.'b2$'|))) (|tptp.'fun_app$o'| |tptp.'ket$'| (|tptp.'fun_app$p'| (|tptp.'fun_app$q'| |tptp.'pair$'| |tptp.'i$'|) |tptp.'j$'|)))))) (not (= (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| (|tptp.'tensor_op$'| |tptp.'a$'| (|tptp.'fun_app$m'| (|tptp.'fun_app$n'| |tptp.'plus$a'| |tptp.'b1$'|) |tptp.'b2$'|))) (|tptp.'fun_app$o'| |tptp.'ket$'| (|tptp.'fun_app$p'| (|tptp.'fun_app$q'| |tptp.'pair$'| |tptp.'i$'|) |tptp.'j$'|))) (|tptp.'tensor_ell2$'| (|tptp.'fun_app$t'| (|tptp.'cblinfun_apply$a'| |tptp.'a$'|) (|tptp.'ket$a'| |tptp.'i$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| (|tptp.'fun_app$m'| (|tptp.'fun_app$n'| |tptp.'plus$a'| |tptp.'b1$'|) |tptp.'b2$'|)) (|tptp.'ket$b'| |tptp.'j$'|))))) (not (= (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| (|tptp.'fun_app$r'| (|tptp.'fun_app$s'| |tptp.'plus$b'| (|tptp.'tensor_op$'| |tptp.'a$'| |tptp.'b1$'|)) (|tptp.'tensor_op$'| |tptp.'a$'| |tptp.'b2$'|))) (|tptp.'fun_app$o'| |tptp.'ket$'| (|tptp.'fun_app$p'| (|tptp.'fun_app$q'| |tptp.'pair$'| |tptp.'i$'|) |tptp.'j$'|))) (|tptp.'plus$u'| (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| (|tptp.'tensor_op$'| |tptp.'a$'| |tptp.'b1$'|)) (|tptp.'fun_app$o'| |tptp.'ket$'| (|tptp.'fun_app$p'| (|tptp.'fun_app$q'| |tptp.'pair$'| |tptp.'i$'|) |tptp.'j$'|))) (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| (|tptp.'tensor_op$'| |tptp.'a$'| |tptp.'b2$'|)) (|tptp.'fun_app$o'| |tptp.'ket$'| (|tptp.'fun_app$p'| (|tptp.'fun_app$q'| |tptp.'pair$'| |tptp.'i$'|) |tptp.'j$'|)))))) (not (= (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| (|tptp.'tensor_op$'| |tptp.'a$'| |tptp.'b2$'|)) (|tptp.'fun_app$o'| |tptp.'ket$'| (|tptp.'fun_app$p'| (|tptp.'fun_app$q'| |tptp.'pair$'| |tptp.'i$'|) |tptp.'j$'|))) (|tptp.'tensor_ell2$'| (|tptp.'fun_app$t'| (|tptp.'cblinfun_apply$a'| |tptp.'a$'|) (|tptp.'ket$a'| |tptp.'i$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b2$'|) (|tptp.'ket$b'| |tptp.'j$'|))))) (not (= (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| (|tptp.'tensor_op$'| |tptp.'a$'| |tptp.'b1$'|)) (|tptp.'fun_app$o'| |tptp.'ket$'| (|tptp.'fun_app$p'| (|tptp.'fun_app$q'| |tptp.'pair$'| |tptp.'i$'|) |tptp.'j$'|))) (|tptp.'tensor_ell2$'| (|tptp.'fun_app$t'| (|tptp.'cblinfun_apply$a'| |tptp.'a$'|) (|tptp.'ket$a'| |tptp.'i$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b1$'|) (|tptp.'ket$b'| |tptp.'j$'|))))) (not (= (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| (|tptp.'fun_app$m'| (|tptp.'fun_app$n'| |tptp.'plus$a'| |tptp.'b1$'|) |tptp.'b2$'|)) (|tptp.'ket$b'| |tptp.'j$'|)) (|tptp.'plus$i'| (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b1$'|) (|tptp.'ket$b'| |tptp.'j$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b2$'|) (|tptp.'ket$b'| |tptp.'j$'|))))) (not (= (|tptp.'tensor_ell2$'| (|tptp.'fun_app$t'| (|tptp.'cblinfun_apply$a'| |tptp.'a$'|) (|tptp.'ket$a'| |tptp.'i$'|)) (|tptp.'plus$i'| (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b1$'|) (|tptp.'ket$b'| |tptp.'j$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b2$'|) (|tptp.'ket$b'| |tptp.'j$'|)))) (|tptp.'plus$u'| (|tptp.'tensor_ell2$'| (|tptp.'fun_app$t'| (|tptp.'cblinfun_apply$a'| |tptp.'a$'|) (|tptp.'ket$a'| |tptp.'i$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b1$'|) (|tptp.'ket$b'| |tptp.'j$'|))) (|tptp.'tensor_ell2$'| (|tptp.'fun_app$t'| (|tptp.'cblinfun_apply$a'| |tptp.'a$'|) (|tptp.'ket$a'| |tptp.'i$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b2$'|) (|tptp.'ket$b'| |tptp.'j$'|)))))) (and (= (|tptp.'tensor_ell2$'| (|tptp.'fun_app$t'| (|tptp.'cblinfun_apply$a'| |tptp.'a$'|) (|tptp.'ket$a'| |tptp.'i$'|)) (|tptp.'plus$i'| (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b1$'|) (|tptp.'ket$b'| |tptp.'j$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b2$'|) (|tptp.'ket$b'| |tptp.'j$'|)))) (|tptp.'plus$u'| (|tptp.'tensor_ell2$'| (|tptp.'fun_app$t'| (|tptp.'cblinfun_apply$a'| |tptp.'a$'|) (|tptp.'ket$a'| |tptp.'i$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b1$'|) (|tptp.'ket$b'| |tptp.'j$'|))) (|tptp.'tensor_ell2$'| (|tptp.'fun_app$t'| (|tptp.'cblinfun_apply$a'| |tptp.'a$'|) (|tptp.'ket$a'| |tptp.'i$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b2$'|) (|tptp.'ket$b'| |tptp.'j$'|))))) (not (= (|tptp.'tensor_ell2$'| (|tptp.'fun_app$t'| (|tptp.'cblinfun_apply$a'| |tptp.'a$'|) (|tptp.'ket$a'| |tptp.'i$'|)) (|tptp.'plus$i'| (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b1$'|) (|tptp.'ket$b'| |tptp.'j$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b2$'|) (|tptp.'ket$b'| |tptp.'j$'|)))) (|tptp.'plus$u'| (|tptp.'tensor_ell2$'| (|tptp.'fun_app$t'| (|tptp.'cblinfun_apply$a'| |tptp.'a$'|) (|tptp.'ket$a'| |tptp.'i$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b1$'|) (|tptp.'ket$b'| |tptp.'j$'|))) (|tptp.'tensor_ell2$'| (|tptp.'fun_app$t'| (|tptp.'cblinfun_apply$a'| |tptp.'a$'|) (|tptp.'ket$a'| |tptp.'i$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b2$'|) (|tptp.'ket$b'| |tptp.'j$'|)))))))) :rule subproof :discharge (t44.a0 t44.a1 t44.a2 t44.a3 t44.a4 t44.a5 t44.a6))
% 1.07/1.27 (step t45 (cl (not (and (not (= (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| (|tptp.'tensor_op$'| |tptp.'a$'| (|tptp.'fun_app$m'| (|tptp.'fun_app$n'| |tptp.'plus$a'| |tptp.'b1$'|) |tptp.'b2$'|))) (|tptp.'fun_app$o'| |tptp.'ket$'| (|tptp.'fun_app$p'| (|tptp.'fun_app$q'| |tptp.'pair$'| |tptp.'i$'|) |tptp.'j$'|))) (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| (|tptp.'fun_app$r'| (|tptp.'fun_app$s'| |tptp.'plus$b'| (|tptp.'tensor_op$'| |tptp.'a$'| |tptp.'b1$'|)) (|tptp.'tensor_op$'| |tptp.'a$'| |tptp.'b2$'|))) (|tptp.'fun_app$o'| |tptp.'ket$'| (|tptp.'fun_app$p'| (|tptp.'fun_app$q'| |tptp.'pair$'| |tptp.'i$'|) |tptp.'j$'|))))) (= (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| (|tptp.'tensor_op$'| |tptp.'a$'| (|tptp.'fun_app$m'| (|tptp.'fun_app$n'| |tptp.'plus$a'| |tptp.'b1$'|) |tptp.'b2$'|))) (|tptp.'fun_app$o'| |tptp.'ket$'| (|tptp.'fun_app$p'| (|tptp.'fun_app$q'| |tptp.'pair$'| |tptp.'i$'|) |tptp.'j$'|))) (|tptp.'tensor_ell2$'| (|tptp.'fun_app$t'| (|tptp.'cblinfun_apply$a'| |tptp.'a$'|) (|tptp.'ket$a'| |tptp.'i$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| (|tptp.'fun_app$m'| (|tptp.'fun_app$n'| |tptp.'plus$a'| |tptp.'b1$'|) |tptp.'b2$'|)) (|tptp.'ket$b'| |tptp.'j$'|)))) (= (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| (|tptp.'fun_app$r'| (|tptp.'fun_app$s'| |tptp.'plus$b'| (|tptp.'tensor_op$'| |tptp.'a$'| |tptp.'b1$'|)) (|tptp.'tensor_op$'| |tptp.'a$'| |tptp.'b2$'|))) (|tptp.'fun_app$o'| |tptp.'ket$'| (|tptp.'fun_app$p'| (|tptp.'fun_app$q'| |tptp.'pair$'| |tptp.'i$'|) |tptp.'j$'|))) (|tptp.'plus$u'| (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| (|tptp.'tensor_op$'| |tptp.'a$'| |tptp.'b1$'|)) (|tptp.'fun_app$o'| |tptp.'ket$'| (|tptp.'fun_app$p'| (|tptp.'fun_app$q'| |tptp.'pair$'| |tptp.'i$'|) |tptp.'j$'|))) (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| (|tptp.'tensor_op$'| |tptp.'a$'| |tptp.'b2$'|)) (|tptp.'fun_app$o'| |tptp.'ket$'| (|tptp.'fun_app$p'| (|tptp.'fun_app$q'| |tptp.'pair$'| |tptp.'i$'|) |tptp.'j$'|))))) (= (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| (|tptp.'tensor_op$'| |tptp.'a$'| |tptp.'b2$'|)) (|tptp.'fun_app$o'| |tptp.'ket$'| (|tptp.'fun_app$p'| (|tptp.'fun_app$q'| |tptp.'pair$'| |tptp.'i$'|) |tptp.'j$'|))) (|tptp.'tensor_ell2$'| (|tptp.'fun_app$t'| (|tptp.'cblinfun_apply$a'| |tptp.'a$'|) (|tptp.'ket$a'| |tptp.'i$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b2$'|) (|tptp.'ket$b'| |tptp.'j$'|)))) (= (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| (|tptp.'tensor_op$'| |tptp.'a$'| |tptp.'b1$'|)) (|tptp.'fun_app$o'| |tptp.'ket$'| (|tptp.'fun_app$p'| (|tptp.'fun_app$q'| |tptp.'pair$'| |tptp.'i$'|) |tptp.'j$'|))) (|tptp.'tensor_ell2$'| (|tptp.'fun_app$t'| (|tptp.'cblinfun_apply$a'| |tptp.'a$'|) (|tptp.'ket$a'| |tptp.'i$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b1$'|) (|tptp.'ket$b'| |tptp.'j$'|)))) (= (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| (|tptp.'fun_app$m'| (|tptp.'fun_app$n'| |tptp.'plus$a'| |tptp.'b1$'|) |tptp.'b2$'|)) (|tptp.'ket$b'| |tptp.'j$'|)) (|tptp.'plus$i'| (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b1$'|) (|tptp.'ket$b'| |tptp.'j$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b2$'|) (|tptp.'ket$b'| |tptp.'j$'|)))) (= (|tptp.'tensor_ell2$'| (|tptp.'fun_app$t'| (|tptp.'cblinfun_apply$a'| |tptp.'a$'|) (|tptp.'ket$a'| |tptp.'i$'|)) (|tptp.'plus$i'| (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b1$'|) (|tptp.'ket$b'| |tptp.'j$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b2$'|) (|tptp.'ket$b'| |tptp.'j$'|)))) (|tptp.'plus$u'| (|tptp.'tensor_ell2$'| (|tptp.'fun_app$t'| (|tptp.'cblinfun_apply$a'| |tptp.'a$'|) (|tptp.'ket$a'| |tptp.'i$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b1$'|) (|tptp.'ket$b'| |tptp.'j$'|))) (|tptp.'tensor_ell2$'| (|tptp.'fun_app$t'| (|tptp.'cblinfun_apply$a'| |tptp.'a$'|) (|tptp.'ket$a'| |tptp.'i$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b2$'|) (|tptp.'ket$b'| |tptp.'j$'|))))))) (not (= (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| (|tptp.'tensor_op$'| |tptp.'a$'| (|tptp.'fun_app$m'| (|tptp.'fun_app$n'| |tptp.'plus$a'| |tptp.'b1$'|) |tptp.'b2$'|))) (|tptp.'fun_app$o'| |tptp.'ket$'| (|tptp.'fun_app$p'| (|tptp.'fun_app$q'| |tptp.'pair$'| |tptp.'i$'|) |tptp.'j$'|))) (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| (|tptp.'fun_app$r'| (|tptp.'fun_app$s'| |tptp.'plus$b'| (|tptp.'tensor_op$'| |tptp.'a$'| |tptp.'b1$'|)) (|tptp.'tensor_op$'| |tptp.'a$'| |tptp.'b2$'|))) (|tptp.'fun_app$o'| |tptp.'ket$'| (|tptp.'fun_app$p'| (|tptp.'fun_app$q'| |tptp.'pair$'| |tptp.'i$'|) |tptp.'j$'|)))))) :rule and_pos)
% 1.07/1.27 (step t46 (cl (not (and (not (= (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| (|tptp.'tensor_op$'| |tptp.'a$'| (|tptp.'fun_app$m'| (|tptp.'fun_app$n'| |tptp.'plus$a'| |tptp.'b1$'|) |tptp.'b2$'|))) (|tptp.'fun_app$o'| |tptp.'ket$'| (|tptp.'fun_app$p'| (|tptp.'fun_app$q'| |tptp.'pair$'| |tptp.'i$'|) |tptp.'j$'|))) (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| (|tptp.'fun_app$r'| (|tptp.'fun_app$s'| |tptp.'plus$b'| (|tptp.'tensor_op$'| |tptp.'a$'| |tptp.'b1$'|)) (|tptp.'tensor_op$'| |tptp.'a$'| |tptp.'b2$'|))) (|tptp.'fun_app$o'| |tptp.'ket$'| (|tptp.'fun_app$p'| (|tptp.'fun_app$q'| |tptp.'pair$'| |tptp.'i$'|) |tptp.'j$'|))))) (= (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| (|tptp.'tensor_op$'| |tptp.'a$'| (|tptp.'fun_app$m'| (|tptp.'fun_app$n'| |tptp.'plus$a'| |tptp.'b1$'|) |tptp.'b2$'|))) (|tptp.'fun_app$o'| |tptp.'ket$'| (|tptp.'fun_app$p'| (|tptp.'fun_app$q'| |tptp.'pair$'| |tptp.'i$'|) |tptp.'j$'|))) (|tptp.'tensor_ell2$'| (|tptp.'fun_app$t'| (|tptp.'cblinfun_apply$a'| |tptp.'a$'|) (|tptp.'ket$a'| |tptp.'i$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| (|tptp.'fun_app$m'| (|tptp.'fun_app$n'| |tptp.'plus$a'| |tptp.'b1$'|) |tptp.'b2$'|)) (|tptp.'ket$b'| |tptp.'j$'|)))) (= (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| (|tptp.'fun_app$r'| (|tptp.'fun_app$s'| |tptp.'plus$b'| (|tptp.'tensor_op$'| |tptp.'a$'| |tptp.'b1$'|)) (|tptp.'tensor_op$'| |tptp.'a$'| |tptp.'b2$'|))) (|tptp.'fun_app$o'| |tptp.'ket$'| (|tptp.'fun_app$p'| (|tptp.'fun_app$q'| |tptp.'pair$'| |tptp.'i$'|) |tptp.'j$'|))) (|tptp.'plus$u'| (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| (|tptp.'tensor_op$'| |tptp.'a$'| |tptp.'b1$'|)) (|tptp.'fun_app$o'| |tptp.'ket$'| (|tptp.'fun_app$p'| (|tptp.'fun_app$q'| |tptp.'pair$'| |tptp.'i$'|) |tptp.'j$'|))) (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| (|tptp.'tensor_op$'| |tptp.'a$'| |tptp.'b2$'|)) (|tptp.'fun_app$o'| |tptp.'ket$'| (|tptp.'fun_app$p'| (|tptp.'fun_app$q'| |tptp.'pair$'| |tptp.'i$'|) |tptp.'j$'|))))) (= (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| (|tptp.'tensor_op$'| |tptp.'a$'| |tptp.'b2$'|)) (|tptp.'fun_app$o'| |tptp.'ket$'| (|tptp.'fun_app$p'| (|tptp.'fun_app$q'| |tptp.'pair$'| |tptp.'i$'|) |tptp.'j$'|))) (|tptp.'tensor_ell2$'| (|tptp.'fun_app$t'| (|tptp.'cblinfun_apply$a'| |tptp.'a$'|) (|tptp.'ket$a'| |tptp.'i$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b2$'|) (|tptp.'ket$b'| |tptp.'j$'|)))) (= (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| (|tptp.'tensor_op$'| |tptp.'a$'| |tptp.'b1$'|)) (|tptp.'fun_app$o'| |tptp.'ket$'| (|tptp.'fun_app$p'| (|tptp.'fun_app$q'| |tptp.'pair$'| |tptp.'i$'|) |tptp.'j$'|))) (|tptp.'tensor_ell2$'| (|tptp.'fun_app$t'| (|tptp.'cblinfun_apply$a'| |tptp.'a$'|) (|tptp.'ket$a'| |tptp.'i$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b1$'|) (|tptp.'ket$b'| |tptp.'j$'|)))) (= (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| (|tptp.'fun_app$m'| (|tptp.'fun_app$n'| |tptp.'plus$a'| |tptp.'b1$'|) |tptp.'b2$'|)) (|tptp.'ket$b'| |tptp.'j$'|)) (|tptp.'plus$i'| (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b1$'|) (|tptp.'ket$b'| |tptp.'j$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b2$'|) (|tptp.'ket$b'| |tptp.'j$'|)))) (= (|tptp.'tensor_ell2$'| (|tptp.'fun_app$t'| (|tptp.'cblinfun_apply$a'| |tptp.'a$'|) (|tptp.'ket$a'| |tptp.'i$'|)) (|tptp.'plus$i'| (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b1$'|) (|tptp.'ket$b'| |tptp.'j$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b2$'|) (|tptp.'ket$b'| |tptp.'j$'|)))) (|tptp.'plus$u'| (|tptp.'tensor_ell2$'| (|tptp.'fun_app$t'| (|tptp.'cblinfun_apply$a'| |tptp.'a$'|) (|tptp.'ket$a'| |tptp.'i$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b1$'|) (|tptp.'ket$b'| |tptp.'j$'|))) (|tptp.'tensor_ell2$'| (|tptp.'fun_app$t'| (|tptp.'cblinfun_apply$a'| |tptp.'a$'|) (|tptp.'ket$a'| |tptp.'i$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b2$'|) (|tptp.'ket$b'| |tptp.'j$'|))))))) (= (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| (|tptp.'tensor_op$'| |tptp.'a$'| (|tptp.'fun_app$m'| (|tptp.'fun_app$n'| |tptp.'plus$a'| |tptp.'b1$'|) |tptp.'b2$'|))) (|tptp.'fun_app$o'| |tptp.'ket$'| (|tptp.'fun_app$p'| (|tptp.'fun_app$q'| |tptp.'pair$'| |tptp.'i$'|) |tptp.'j$'|))) (|tptp.'tensor_ell2$'| (|tptp.'fun_app$t'| (|tptp.'cblinfun_apply$a'| |tptp.'a$'|) (|tptp.'ket$a'| |tptp.'i$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| (|tptp.'fun_app$m'| (|tptp.'fun_app$n'| |tptp.'plus$a'| |tptp.'b1$'|) |tptp.'b2$'|)) (|tptp.'ket$b'| |tptp.'j$'|))))) :rule and_pos)
% 1.07/1.27 (step t47 (cl (not (and (not (= (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| (|tptp.'tensor_op$'| |tptp.'a$'| (|tptp.'fun_app$m'| (|tptp.'fun_app$n'| |tptp.'plus$a'| |tptp.'b1$'|) |tptp.'b2$'|))) (|tptp.'fun_app$o'| |tptp.'ket$'| (|tptp.'fun_app$p'| (|tptp.'fun_app$q'| |tptp.'pair$'| |tptp.'i$'|) |tptp.'j$'|))) (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| (|tptp.'fun_app$r'| (|tptp.'fun_app$s'| |tptp.'plus$b'| (|tptp.'tensor_op$'| |tptp.'a$'| |tptp.'b1$'|)) (|tptp.'tensor_op$'| |tptp.'a$'| |tptp.'b2$'|))) (|tptp.'fun_app$o'| |tptp.'ket$'| (|tptp.'fun_app$p'| (|tptp.'fun_app$q'| |tptp.'pair$'| |tptp.'i$'|) |tptp.'j$'|))))) (= (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| (|tptp.'tensor_op$'| |tptp.'a$'| (|tptp.'fun_app$m'| (|tptp.'fun_app$n'| |tptp.'plus$a'| |tptp.'b1$'|) |tptp.'b2$'|))) (|tptp.'fun_app$o'| |tptp.'ket$'| (|tptp.'fun_app$p'| (|tptp.'fun_app$q'| |tptp.'pair$'| |tptp.'i$'|) |tptp.'j$'|))) (|tptp.'tensor_ell2$'| (|tptp.'fun_app$t'| (|tptp.'cblinfun_apply$a'| |tptp.'a$'|) (|tptp.'ket$a'| |tptp.'i$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| (|tptp.'fun_app$m'| (|tptp.'fun_app$n'| |tptp.'plus$a'| |tptp.'b1$'|) |tptp.'b2$'|)) (|tptp.'ket$b'| |tptp.'j$'|)))) (= (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| (|tptp.'fun_app$r'| (|tptp.'fun_app$s'| |tptp.'plus$b'| (|tptp.'tensor_op$'| |tptp.'a$'| |tptp.'b1$'|)) (|tptp.'tensor_op$'| |tptp.'a$'| |tptp.'b2$'|))) (|tptp.'fun_app$o'| |tptp.'ket$'| (|tptp.'fun_app$p'| (|tptp.'fun_app$q'| |tptp.'pair$'| |tptp.'i$'|) |tptp.'j$'|))) (|tptp.'plus$u'| (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| (|tptp.'tensor_op$'| |tptp.'a$'| |tptp.'b1$'|)) (|tptp.'fun_app$o'| |tptp.'ket$'| (|tptp.'fun_app$p'| (|tptp.'fun_app$q'| |tptp.'pair$'| |tptp.'i$'|) |tptp.'j$'|))) (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| (|tptp.'tensor_op$'| |tptp.'a$'| |tptp.'b2$'|)) (|tptp.'fun_app$o'| |tptp.'ket$'| (|tptp.'fun_app$p'| (|tptp.'fun_app$q'| |tptp.'pair$'| |tptp.'i$'|) |tptp.'j$'|))))) (= (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| (|tptp.'tensor_op$'| |tptp.'a$'| |tptp.'b2$'|)) (|tptp.'fun_app$o'| |tptp.'ket$'| (|tptp.'fun_app$p'| (|tptp.'fun_app$q'| |tptp.'pair$'| |tptp.'i$'|) |tptp.'j$'|))) (|tptp.'tensor_ell2$'| (|tptp.'fun_app$t'| (|tptp.'cblinfun_apply$a'| |tptp.'a$'|) (|tptp.'ket$a'| |tptp.'i$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b2$'|) (|tptp.'ket$b'| |tptp.'j$'|)))) (= (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| (|tptp.'tensor_op$'| |tptp.'a$'| |tptp.'b1$'|)) (|tptp.'fun_app$o'| |tptp.'ket$'| (|tptp.'fun_app$p'| (|tptp.'fun_app$q'| |tptp.'pair$'| |tptp.'i$'|) |tptp.'j$'|))) (|tptp.'tensor_ell2$'| (|tptp.'fun_app$t'| (|tptp.'cblinfun_apply$a'| |tptp.'a$'|) (|tptp.'ket$a'| |tptp.'i$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b1$'|) (|tptp.'ket$b'| |tptp.'j$'|)))) (= (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| (|tptp.'fun_app$m'| (|tptp.'fun_app$n'| |tptp.'plus$a'| |tptp.'b1$'|) |tptp.'b2$'|)) (|tptp.'ket$b'| |tptp.'j$'|)) (|tptp.'plus$i'| (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b1$'|) (|tptp.'ket$b'| |tptp.'j$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b2$'|) (|tptp.'ket$b'| |tptp.'j$'|)))) (= (|tptp.'tensor_ell2$'| (|tptp.'fun_app$t'| (|tptp.'cblinfun_apply$a'| |tptp.'a$'|) (|tptp.'ket$a'| |tptp.'i$'|)) (|tptp.'plus$i'| (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b1$'|) (|tptp.'ket$b'| |tptp.'j$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b2$'|) (|tptp.'ket$b'| |tptp.'j$'|)))) (|tptp.'plus$u'| (|tptp.'tensor_ell2$'| (|tptp.'fun_app$t'| (|tptp.'cblinfun_apply$a'| |tptp.'a$'|) (|tptp.'ket$a'| |tptp.'i$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b1$'|) (|tptp.'ket$b'| |tptp.'j$'|))) (|tptp.'tensor_ell2$'| (|tptp.'fun_app$t'| (|tptp.'cblinfun_apply$a'| |tptp.'a$'|) (|tptp.'ket$a'| |tptp.'i$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b2$'|) (|tptp.'ket$b'| |tptp.'j$'|))))))) (= (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| (|tptp.'fun_app$r'| (|tptp.'fun_app$s'| |tptp.'plus$b'| (|tptp.'tensor_op$'| |tptp.'a$'| |tptp.'b1$'|)) (|tptp.'tensor_op$'| |tptp.'a$'| |tptp.'b2$'|))) (|tptp.'fun_app$o'| |tptp.'ket$'| (|tptp.'fun_app$p'| (|tptp.'fun_app$q'| |tptp.'pair$'| |tptp.'i$'|) |tptp.'j$'|))) (|tptp.'plus$u'| (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| (|tptp.'tensor_op$'| |tptp.'a$'| |tptp.'b1$'|)) (|tptp.'fun_app$o'| |tptp.'ket$'| (|tptp.'fun_app$p'| (|tptp.'fun_app$q'| |tptp.'pair$'| |tptp.'i$'|) |tptp.'j$'|))) (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| (|tptp.'tensor_op$'| |tptp.'a$'| |tptp.'b2$'|)) (|tptp.'fun_app$o'| |tptp.'ket$'| (|tptp.'fun_app$p'| (|tptp.'fun_app$q'| |tptp.'pair$'| |tptp.'i$'|) |tptp.'j$'|)))))) :rule and_pos)
% 1.07/1.27 (step t48 (cl (not (and (not (= (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| (|tptp.'tensor_op$'| |tptp.'a$'| (|tptp.'fun_app$m'| (|tptp.'fun_app$n'| |tptp.'plus$a'| |tptp.'b1$'|) |tptp.'b2$'|))) (|tptp.'fun_app$o'| |tptp.'ket$'| (|tptp.'fun_app$p'| (|tptp.'fun_app$q'| |tptp.'pair$'| |tptp.'i$'|) |tptp.'j$'|))) (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| (|tptp.'fun_app$r'| (|tptp.'fun_app$s'| |tptp.'plus$b'| (|tptp.'tensor_op$'| |tptp.'a$'| |tptp.'b1$'|)) (|tptp.'tensor_op$'| |tptp.'a$'| |tptp.'b2$'|))) (|tptp.'fun_app$o'| |tptp.'ket$'| (|tptp.'fun_app$p'| (|tptp.'fun_app$q'| |tptp.'pair$'| |tptp.'i$'|) |tptp.'j$'|))))) (= (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| (|tptp.'tensor_op$'| |tptp.'a$'| (|tptp.'fun_app$m'| (|tptp.'fun_app$n'| |tptp.'plus$a'| |tptp.'b1$'|) |tptp.'b2$'|))) (|tptp.'fun_app$o'| |tptp.'ket$'| (|tptp.'fun_app$p'| (|tptp.'fun_app$q'| |tptp.'pair$'| |tptp.'i$'|) |tptp.'j$'|))) (|tptp.'tensor_ell2$'| (|tptp.'fun_app$t'| (|tptp.'cblinfun_apply$a'| |tptp.'a$'|) (|tptp.'ket$a'| |tptp.'i$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| (|tptp.'fun_app$m'| (|tptp.'fun_app$n'| |tptp.'plus$a'| |tptp.'b1$'|) |tptp.'b2$'|)) (|tptp.'ket$b'| |tptp.'j$'|)))) (= (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| (|tptp.'fun_app$r'| (|tptp.'fun_app$s'| |tptp.'plus$b'| (|tptp.'tensor_op$'| |tptp.'a$'| |tptp.'b1$'|)) (|tptp.'tensor_op$'| |tptp.'a$'| |tptp.'b2$'|))) (|tptp.'fun_app$o'| |tptp.'ket$'| (|tptp.'fun_app$p'| (|tptp.'fun_app$q'| |tptp.'pair$'| |tptp.'i$'|) |tptp.'j$'|))) (|tptp.'plus$u'| (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| (|tptp.'tensor_op$'| |tptp.'a$'| |tptp.'b1$'|)) (|tptp.'fun_app$o'| |tptp.'ket$'| (|tptp.'fun_app$p'| (|tptp.'fun_app$q'| |tptp.'pair$'| |tptp.'i$'|) |tptp.'j$'|))) (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| (|tptp.'tensor_op$'| |tptp.'a$'| |tptp.'b2$'|)) (|tptp.'fun_app$o'| |tptp.'ket$'| (|tptp.'fun_app$p'| (|tptp.'fun_app$q'| |tptp.'pair$'| |tptp.'i$'|) |tptp.'j$'|))))) (= (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| (|tptp.'tensor_op$'| |tptp.'a$'| |tptp.'b2$'|)) (|tptp.'fun_app$o'| |tptp.'ket$'| (|tptp.'fun_app$p'| (|tptp.'fun_app$q'| |tptp.'pair$'| |tptp.'i$'|) |tptp.'j$'|))) (|tptp.'tensor_ell2$'| (|tptp.'fun_app$t'| (|tptp.'cblinfun_apply$a'| |tptp.'a$'|) (|tptp.'ket$a'| |tptp.'i$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b2$'|) (|tptp.'ket$b'| |tptp.'j$'|)))) (= (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| (|tptp.'tensor_op$'| |tptp.'a$'| |tptp.'b1$'|)) (|tptp.'fun_app$o'| |tptp.'ket$'| (|tptp.'fun_app$p'| (|tptp.'fun_app$q'| |tptp.'pair$'| |tptp.'i$'|) |tptp.'j$'|))) (|tptp.'tensor_ell2$'| (|tptp.'fun_app$t'| (|tptp.'cblinfun_apply$a'| |tptp.'a$'|) (|tptp.'ket$a'| |tptp.'i$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b1$'|) (|tptp.'ket$b'| |tptp.'j$'|)))) (= (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| (|tptp.'fun_app$m'| (|tptp.'fun_app$n'| |tptp.'plus$a'| |tptp.'b1$'|) |tptp.'b2$'|)) (|tptp.'ket$b'| |tptp.'j$'|)) (|tptp.'plus$i'| (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b1$'|) (|tptp.'ket$b'| |tptp.'j$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b2$'|) (|tptp.'ket$b'| |tptp.'j$'|)))) (= (|tptp.'tensor_ell2$'| (|tptp.'fun_app$t'| (|tptp.'cblinfun_apply$a'| |tptp.'a$'|) (|tptp.'ket$a'| |tptp.'i$'|)) (|tptp.'plus$i'| (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b1$'|) (|tptp.'ket$b'| |tptp.'j$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b2$'|) (|tptp.'ket$b'| |tptp.'j$'|)))) (|tptp.'plus$u'| (|tptp.'tensor_ell2$'| (|tptp.'fun_app$t'| (|tptp.'cblinfun_apply$a'| |tptp.'a$'|) (|tptp.'ket$a'| |tptp.'i$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b1$'|) (|tptp.'ket$b'| |tptp.'j$'|))) (|tptp.'tensor_ell2$'| (|tptp.'fun_app$t'| (|tptp.'cblinfun_apply$a'| |tptp.'a$'|) (|tptp.'ket$a'| |tptp.'i$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b2$'|) (|tptp.'ket$b'| |tptp.'j$'|))))))) (= (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| (|tptp.'tensor_op$'| |tptp.'a$'| |tptp.'b2$'|)) (|tptp.'fun_app$o'| |tptp.'ket$'| (|tptp.'fun_app$p'| (|tptp.'fun_app$q'| |tptp.'pair$'| |tptp.'i$'|) |tptp.'j$'|))) (|tptp.'tensor_ell2$'| (|tptp.'fun_app$t'| (|tptp.'cblinfun_apply$a'| |tptp.'a$'|) (|tptp.'ket$a'| |tptp.'i$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b2$'|) (|tptp.'ket$b'| |tptp.'j$'|))))) :rule and_pos)
% 1.07/1.27 (step t49 (cl (not (and (not (= (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| (|tptp.'tensor_op$'| |tptp.'a$'| (|tptp.'fun_app$m'| (|tptp.'fun_app$n'| |tptp.'plus$a'| |tptp.'b1$'|) |tptp.'b2$'|))) (|tptp.'fun_app$o'| |tptp.'ket$'| (|tptp.'fun_app$p'| (|tptp.'fun_app$q'| |tptp.'pair$'| |tptp.'i$'|) |tptp.'j$'|))) (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| (|tptp.'fun_app$r'| (|tptp.'fun_app$s'| |tptp.'plus$b'| (|tptp.'tensor_op$'| |tptp.'a$'| |tptp.'b1$'|)) (|tptp.'tensor_op$'| |tptp.'a$'| |tptp.'b2$'|))) (|tptp.'fun_app$o'| |tptp.'ket$'| (|tptp.'fun_app$p'| (|tptp.'fun_app$q'| |tptp.'pair$'| |tptp.'i$'|) |tptp.'j$'|))))) (= (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| (|tptp.'tensor_op$'| |tptp.'a$'| (|tptp.'fun_app$m'| (|tptp.'fun_app$n'| |tptp.'plus$a'| |tptp.'b1$'|) |tptp.'b2$'|))) (|tptp.'fun_app$o'| |tptp.'ket$'| (|tptp.'fun_app$p'| (|tptp.'fun_app$q'| |tptp.'pair$'| |tptp.'i$'|) |tptp.'j$'|))) (|tptp.'tensor_ell2$'| (|tptp.'fun_app$t'| (|tptp.'cblinfun_apply$a'| |tptp.'a$'|) (|tptp.'ket$a'| |tptp.'i$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| (|tptp.'fun_app$m'| (|tptp.'fun_app$n'| |tptp.'plus$a'| |tptp.'b1$'|) |tptp.'b2$'|)) (|tptp.'ket$b'| |tptp.'j$'|)))) (= (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| (|tptp.'fun_app$r'| (|tptp.'fun_app$s'| |tptp.'plus$b'| (|tptp.'tensor_op$'| |tptp.'a$'| |tptp.'b1$'|)) (|tptp.'tensor_op$'| |tptp.'a$'| |tptp.'b2$'|))) (|tptp.'fun_app$o'| |tptp.'ket$'| (|tptp.'fun_app$p'| (|tptp.'fun_app$q'| |tptp.'pair$'| |tptp.'i$'|) |tptp.'j$'|))) (|tptp.'plus$u'| (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| (|tptp.'tensor_op$'| |tptp.'a$'| |tptp.'b1$'|)) (|tptp.'fun_app$o'| |tptp.'ket$'| (|tptp.'fun_app$p'| (|tptp.'fun_app$q'| |tptp.'pair$'| |tptp.'i$'|) |tptp.'j$'|))) (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| (|tptp.'tensor_op$'| |tptp.'a$'| |tptp.'b2$'|)) (|tptp.'fun_app$o'| |tptp.'ket$'| (|tptp.'fun_app$p'| (|tptp.'fun_app$q'| |tptp.'pair$'| |tptp.'i$'|) |tptp.'j$'|))))) (= (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| (|tptp.'tensor_op$'| |tptp.'a$'| |tptp.'b2$'|)) (|tptp.'fun_app$o'| |tptp.'ket$'| (|tptp.'fun_app$p'| (|tptp.'fun_app$q'| |tptp.'pair$'| |tptp.'i$'|) |tptp.'j$'|))) (|tptp.'tensor_ell2$'| (|tptp.'fun_app$t'| (|tptp.'cblinfun_apply$a'| |tptp.'a$'|) (|tptp.'ket$a'| |tptp.'i$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b2$'|) (|tptp.'ket$b'| |tptp.'j$'|)))) (= (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| (|tptp.'tensor_op$'| |tptp.'a$'| |tptp.'b1$'|)) (|tptp.'fun_app$o'| |tptp.'ket$'| (|tptp.'fun_app$p'| (|tptp.'fun_app$q'| |tptp.'pair$'| |tptp.'i$'|) |tptp.'j$'|))) (|tptp.'tensor_ell2$'| (|tptp.'fun_app$t'| (|tptp.'cblinfun_apply$a'| |tptp.'a$'|) (|tptp.'ket$a'| |tptp.'i$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b1$'|) (|tptp.'ket$b'| |tptp.'j$'|)))) (= (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| (|tptp.'fun_app$m'| (|tptp.'fun_app$n'| |tptp.'plus$a'| |tptp.'b1$'|) |tptp.'b2$'|)) (|tptp.'ket$b'| |tptp.'j$'|)) (|tptp.'plus$i'| (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b1$'|) (|tptp.'ket$b'| |tptp.'j$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b2$'|) (|tptp.'ket$b'| |tptp.'j$'|)))) (= (|tptp.'tensor_ell2$'| (|tptp.'fun_app$t'| (|tptp.'cblinfun_apply$a'| |tptp.'a$'|) (|tptp.'ket$a'| |tptp.'i$'|)) (|tptp.'plus$i'| (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b1$'|) (|tptp.'ket$b'| |tptp.'j$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b2$'|) (|tptp.'ket$b'| |tptp.'j$'|)))) (|tptp.'plus$u'| (|tptp.'tensor_ell2$'| (|tptp.'fun_app$t'| (|tptp.'cblinfun_apply$a'| |tptp.'a$'|) (|tptp.'ket$a'| |tptp.'i$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b1$'|) (|tptp.'ket$b'| |tptp.'j$'|))) (|tptp.'tensor_ell2$'| (|tptp.'fun_app$t'| (|tptp.'cblinfun_apply$a'| |tptp.'a$'|) (|tptp.'ket$a'| |tptp.'i$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b2$'|) (|tptp.'ket$b'| |tptp.'j$'|))))))) (= (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| (|tptp.'tensor_op$'| |tptp.'a$'| |tptp.'b1$'|)) (|tptp.'fun_app$o'| |tptp.'ket$'| (|tptp.'fun_app$p'| (|tptp.'fun_app$q'| |tptp.'pair$'| |tptp.'i$'|) |tptp.'j$'|))) (|tptp.'tensor_ell2$'| (|tptp.'fun_app$t'| (|tptp.'cblinfun_apply$a'| |tptp.'a$'|) (|tptp.'ket$a'| |tptp.'i$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b1$'|) (|tptp.'ket$b'| |tptp.'j$'|))))) :rule and_pos)
% 1.07/1.27 (step t50 (cl (not (and (not (= (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| (|tptp.'tensor_op$'| |tptp.'a$'| (|tptp.'fun_app$m'| (|tptp.'fun_app$n'| |tptp.'plus$a'| |tptp.'b1$'|) |tptp.'b2$'|))) (|tptp.'fun_app$o'| |tptp.'ket$'| (|tptp.'fun_app$p'| (|tptp.'fun_app$q'| |tptp.'pair$'| |tptp.'i$'|) |tptp.'j$'|))) (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| (|tptp.'fun_app$r'| (|tptp.'fun_app$s'| |tptp.'plus$b'| (|tptp.'tensor_op$'| |tptp.'a$'| |tptp.'b1$'|)) (|tptp.'tensor_op$'| |tptp.'a$'| |tptp.'b2$'|))) (|tptp.'fun_app$o'| |tptp.'ket$'| (|tptp.'fun_app$p'| (|tptp.'fun_app$q'| |tptp.'pair$'| |tptp.'i$'|) |tptp.'j$'|))))) (= (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| (|tptp.'tensor_op$'| |tptp.'a$'| (|tptp.'fun_app$m'| (|tptp.'fun_app$n'| |tptp.'plus$a'| |tptp.'b1$'|) |tptp.'b2$'|))) (|tptp.'fun_app$o'| |tptp.'ket$'| (|tptp.'fun_app$p'| (|tptp.'fun_app$q'| |tptp.'pair$'| |tptp.'i$'|) |tptp.'j$'|))) (|tptp.'tensor_ell2$'| (|tptp.'fun_app$t'| (|tptp.'cblinfun_apply$a'| |tptp.'a$'|) (|tptp.'ket$a'| |tptp.'i$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| (|tptp.'fun_app$m'| (|tptp.'fun_app$n'| |tptp.'plus$a'| |tptp.'b1$'|) |tptp.'b2$'|)) (|tptp.'ket$b'| |tptp.'j$'|)))) (= (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| (|tptp.'fun_app$r'| (|tptp.'fun_app$s'| |tptp.'plus$b'| (|tptp.'tensor_op$'| |tptp.'a$'| |tptp.'b1$'|)) (|tptp.'tensor_op$'| |tptp.'a$'| |tptp.'b2$'|))) (|tptp.'fun_app$o'| |tptp.'ket$'| (|tptp.'fun_app$p'| (|tptp.'fun_app$q'| |tptp.'pair$'| |tptp.'i$'|) |tptp.'j$'|))) (|tptp.'plus$u'| (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| (|tptp.'tensor_op$'| |tptp.'a$'| |tptp.'b1$'|)) (|tptp.'fun_app$o'| |tptp.'ket$'| (|tptp.'fun_app$p'| (|tptp.'fun_app$q'| |tptp.'pair$'| |tptp.'i$'|) |tptp.'j$'|))) (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| (|tptp.'tensor_op$'| |tptp.'a$'| |tptp.'b2$'|)) (|tptp.'fun_app$o'| |tptp.'ket$'| (|tptp.'fun_app$p'| (|tptp.'fun_app$q'| |tptp.'pair$'| |tptp.'i$'|) |tptp.'j$'|))))) (= (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| (|tptp.'tensor_op$'| |tptp.'a$'| |tptp.'b2$'|)) (|tptp.'fun_app$o'| |tptp.'ket$'| (|tptp.'fun_app$p'| (|tptp.'fun_app$q'| |tptp.'pair$'| |tptp.'i$'|) |tptp.'j$'|))) (|tptp.'tensor_ell2$'| (|tptp.'fun_app$t'| (|tptp.'cblinfun_apply$a'| |tptp.'a$'|) (|tptp.'ket$a'| |tptp.'i$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b2$'|) (|tptp.'ket$b'| |tptp.'j$'|)))) (= (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| (|tptp.'tensor_op$'| |tptp.'a$'| |tptp.'b1$'|)) (|tptp.'fun_app$o'| |tptp.'ket$'| (|tptp.'fun_app$p'| (|tptp.'fun_app$q'| |tptp.'pair$'| |tptp.'i$'|) |tptp.'j$'|))) (|tptp.'tensor_ell2$'| (|tptp.'fun_app$t'| (|tptp.'cblinfun_apply$a'| |tptp.'a$'|) (|tptp.'ket$a'| |tptp.'i$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b1$'|) (|tptp.'ket$b'| |tptp.'j$'|)))) (= (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| (|tptp.'fun_app$m'| (|tptp.'fun_app$n'| |tptp.'plus$a'| |tptp.'b1$'|) |tptp.'b2$'|)) (|tptp.'ket$b'| |tptp.'j$'|)) (|tptp.'plus$i'| (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b1$'|) (|tptp.'ket$b'| |tptp.'j$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b2$'|) (|tptp.'ket$b'| |tptp.'j$'|)))) (= (|tptp.'tensor_ell2$'| (|tptp.'fun_app$t'| (|tptp.'cblinfun_apply$a'| |tptp.'a$'|) (|tptp.'ket$a'| |tptp.'i$'|)) (|tptp.'plus$i'| (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b1$'|) (|tptp.'ket$b'| |tptp.'j$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b2$'|) (|tptp.'ket$b'| |tptp.'j$'|)))) (|tptp.'plus$u'| (|tptp.'tensor_ell2$'| (|tptp.'fun_app$t'| (|tptp.'cblinfun_apply$a'| |tptp.'a$'|) (|tptp.'ket$a'| |tptp.'i$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b1$'|) (|tptp.'ket$b'| |tptp.'j$'|))) (|tptp.'tensor_ell2$'| (|tptp.'fun_app$t'| (|tptp.'cblinfun_apply$a'| |tptp.'a$'|) (|tptp.'ket$a'| |tptp.'i$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b2$'|) (|tptp.'ket$b'| |tptp.'j$'|))))))) (= (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| (|tptp.'fun_app$m'| (|tptp.'fun_app$n'| |tptp.'plus$a'| |tptp.'b1$'|) |tptp.'b2$'|)) (|tptp.'ket$b'| |tptp.'j$'|)) (|tptp.'plus$i'| (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b1$'|) (|tptp.'ket$b'| |tptp.'j$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b2$'|) (|tptp.'ket$b'| |tptp.'j$'|))))) :rule and_pos)
% 1.10/1.27 (step t51 (cl (not (and (not (= (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| (|tptp.'tensor_op$'| |tptp.'a$'| (|tptp.'fun_app$m'| (|tptp.'fun_app$n'| |tptp.'plus$a'| |tptp.'b1$'|) |tptp.'b2$'|))) (|tptp.'fun_app$o'| |tptp.'ket$'| (|tptp.'fun_app$p'| (|tptp.'fun_app$q'| |tptp.'pair$'| |tptp.'i$'|) |tptp.'j$'|))) (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| (|tptp.'fun_app$r'| (|tptp.'fun_app$s'| |tptp.'plus$b'| (|tptp.'tensor_op$'| |tptp.'a$'| |tptp.'b1$'|)) (|tptp.'tensor_op$'| |tptp.'a$'| |tptp.'b2$'|))) (|tptp.'fun_app$o'| |tptp.'ket$'| (|tptp.'fun_app$p'| (|tptp.'fun_app$q'| |tptp.'pair$'| |tptp.'i$'|) |tptp.'j$'|))))) (= (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| (|tptp.'tensor_op$'| |tptp.'a$'| (|tptp.'fun_app$m'| (|tptp.'fun_app$n'| |tptp.'plus$a'| |tptp.'b1$'|) |tptp.'b2$'|))) (|tptp.'fun_app$o'| |tptp.'ket$'| (|tptp.'fun_app$p'| (|tptp.'fun_app$q'| |tptp.'pair$'| |tptp.'i$'|) |tptp.'j$'|))) (|tptp.'tensor_ell2$'| (|tptp.'fun_app$t'| (|tptp.'cblinfun_apply$a'| |tptp.'a$'|) (|tptp.'ket$a'| |tptp.'i$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| (|tptp.'fun_app$m'| (|tptp.'fun_app$n'| |tptp.'plus$a'| |tptp.'b1$'|) |tptp.'b2$'|)) (|tptp.'ket$b'| |tptp.'j$'|)))) (= (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| (|tptp.'fun_app$r'| (|tptp.'fun_app$s'| |tptp.'plus$b'| (|tptp.'tensor_op$'| |tptp.'a$'| |tptp.'b1$'|)) (|tptp.'tensor_op$'| |tptp.'a$'| |tptp.'b2$'|))) (|tptp.'fun_app$o'| |tptp.'ket$'| (|tptp.'fun_app$p'| (|tptp.'fun_app$q'| |tptp.'pair$'| |tptp.'i$'|) |tptp.'j$'|))) (|tptp.'plus$u'| (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| (|tptp.'tensor_op$'| |tptp.'a$'| |tptp.'b1$'|)) (|tptp.'fun_app$o'| |tptp.'ket$'| (|tptp.'fun_app$p'| (|tptp.'fun_app$q'| |tptp.'pair$'| |tptp.'i$'|) |tptp.'j$'|))) (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| (|tptp.'tensor_op$'| |tptp.'a$'| |tptp.'b2$'|)) (|tptp.'fun_app$o'| |tptp.'ket$'| (|tptp.'fun_app$p'| (|tptp.'fun_app$q'| |tptp.'pair$'| |tptp.'i$'|) |tptp.'j$'|))))) (= (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| (|tptp.'tensor_op$'| |tptp.'a$'| |tptp.'b2$'|)) (|tptp.'fun_app$o'| |tptp.'ket$'| (|tptp.'fun_app$p'| (|tptp.'fun_app$q'| |tptp.'pair$'| |tptp.'i$'|) |tptp.'j$'|))) (|tptp.'tensor_ell2$'| (|tptp.'fun_app$t'| (|tptp.'cblinfun_apply$a'| |tptp.'a$'|) (|tptp.'ket$a'| |tptp.'i$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b2$'|) (|tptp.'ket$b'| |tptp.'j$'|)))) (= (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| (|tptp.'tensor_op$'| |tptp.'a$'| |tptp.'b1$'|)) (|tptp.'fun_app$o'| |tptp.'ket$'| (|tptp.'fun_app$p'| (|tptp.'fun_app$q'| |tptp.'pair$'| |tptp.'i$'|) |tptp.'j$'|))) (|tptp.'tensor_ell2$'| (|tptp.'fun_app$t'| (|tptp.'cblinfun_apply$a'| |tptp.'a$'|) (|tptp.'ket$a'| |tptp.'i$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b1$'|) (|tptp.'ket$b'| |tptp.'j$'|)))) (= (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| (|tptp.'fun_app$m'| (|tptp.'fun_app$n'| |tptp.'plus$a'| |tptp.'b1$'|) |tptp.'b2$'|)) (|tptp.'ket$b'| |tptp.'j$'|)) (|tptp.'plus$i'| (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b1$'|) (|tptp.'ket$b'| |tptp.'j$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b2$'|) (|tptp.'ket$b'| |tptp.'j$'|)))) (= (|tptp.'tensor_ell2$'| (|tptp.'fun_app$t'| (|tptp.'cblinfun_apply$a'| |tptp.'a$'|) (|tptp.'ket$a'| |tptp.'i$'|)) (|tptp.'plus$i'| (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b1$'|) (|tptp.'ket$b'| |tptp.'j$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b2$'|) (|tptp.'ket$b'| |tptp.'j$'|)))) (|tptp.'plus$u'| (|tptp.'tensor_ell2$'| (|tptp.'fun_app$t'| (|tptp.'cblinfun_apply$a'| |tptp.'a$'|) (|tptp.'ket$a'| |tptp.'i$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b1$'|) (|tptp.'ket$b'| |tptp.'j$'|))) (|tptp.'tensor_ell2$'| (|tptp.'fun_app$t'| (|tptp.'cblinfun_apply$a'| |tptp.'a$'|) (|tptp.'ket$a'| |tptp.'i$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b2$'|) (|tptp.'ket$b'| |tptp.'j$'|))))))) (= (|tptp.'tensor_ell2$'| (|tptp.'fun_app$t'| (|tptp.'cblinfun_apply$a'| |tptp.'a$'|) (|tptp.'ket$a'| |tptp.'i$'|)) (|tptp.'plus$i'| (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b1$'|) (|tptp.'ket$b'| |tptp.'j$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b2$'|) (|tptp.'ket$b'| |tptp.'j$'|)))) (|tptp.'plus$u'| (|tptp.'tensor_ell2$'| (|tptp.'fun_app$t'| (|tptp.'cblinfun_apply$a'| |tptp.'a$'|) (|tptp.'ket$a'| |tptp.'i$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b1$'|) (|tptp.'ket$b'| |tptp.'j$'|))) (|tptp.'tensor_ell2$'| (|tptp.'fun_app$t'| (|tptp.'cblinfun_apply$a'| |tptp.'a$'|) (|tptp.'ket$a'| |tptp.'i$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b2$'|) (|tptp.'ket$b'| |tptp.'j$'|)))))) :rule and_pos)
% 1.10/1.27 (step t52 (cl (and (= (|tptp.'tensor_ell2$'| (|tptp.'fun_app$t'| (|tptp.'cblinfun_apply$a'| |tptp.'a$'|) (|tptp.'ket$a'| |tptp.'i$'|)) (|tptp.'plus$i'| (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b1$'|) (|tptp.'ket$b'| |tptp.'j$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b2$'|) (|tptp.'ket$b'| |tptp.'j$'|)))) (|tptp.'plus$u'| (|tptp.'tensor_ell2$'| (|tptp.'fun_app$t'| (|tptp.'cblinfun_apply$a'| |tptp.'a$'|) (|tptp.'ket$a'| |tptp.'i$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b1$'|) (|tptp.'ket$b'| |tptp.'j$'|))) (|tptp.'tensor_ell2$'| (|tptp.'fun_app$t'| (|tptp.'cblinfun_apply$a'| |tptp.'a$'|) (|tptp.'ket$a'| |tptp.'i$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b2$'|) (|tptp.'ket$b'| |tptp.'j$'|))))) (not (= (|tptp.'tensor_ell2$'| (|tptp.'fun_app$t'| (|tptp.'cblinfun_apply$a'| |tptp.'a$'|) (|tptp.'ket$a'| |tptp.'i$'|)) (|tptp.'plus$i'| (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b1$'|) (|tptp.'ket$b'| |tptp.'j$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b2$'|) (|tptp.'ket$b'| |tptp.'j$'|)))) (|tptp.'plus$u'| (|tptp.'tensor_ell2$'| (|tptp.'fun_app$t'| (|tptp.'cblinfun_apply$a'| |tptp.'a$'|) (|tptp.'ket$a'| |tptp.'i$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b1$'|) (|tptp.'ket$b'| |tptp.'j$'|))) (|tptp.'tensor_ell2$'| (|tptp.'fun_app$t'| (|tptp.'cblinfun_apply$a'| |tptp.'a$'|) (|tptp.'ket$a'| |tptp.'i$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b2$'|) (|tptp.'ket$b'| |tptp.'j$'|))))))) (not (and (not (= (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| (|tptp.'tensor_op$'| |tptp.'a$'| (|tptp.'fun_app$m'| (|tptp.'fun_app$n'| |tptp.'plus$a'| |tptp.'b1$'|) |tptp.'b2$'|))) (|tptp.'fun_app$o'| |tptp.'ket$'| (|tptp.'fun_app$p'| (|tptp.'fun_app$q'| |tptp.'pair$'| |tptp.'i$'|) |tptp.'j$'|))) (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| (|tptp.'fun_app$r'| (|tptp.'fun_app$s'| |tptp.'plus$b'| (|tptp.'tensor_op$'| |tptp.'a$'| |tptp.'b1$'|)) (|tptp.'tensor_op$'| |tptp.'a$'| |tptp.'b2$'|))) (|tptp.'fun_app$o'| |tptp.'ket$'| (|tptp.'fun_app$p'| (|tptp.'fun_app$q'| |tptp.'pair$'| |tptp.'i$'|) |tptp.'j$'|))))) (= (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| (|tptp.'tensor_op$'| |tptp.'a$'| (|tptp.'fun_app$m'| (|tptp.'fun_app$n'| |tptp.'plus$a'| |tptp.'b1$'|) |tptp.'b2$'|))) (|tptp.'fun_app$o'| |tptp.'ket$'| (|tptp.'fun_app$p'| (|tptp.'fun_app$q'| |tptp.'pair$'| |tptp.'i$'|) |tptp.'j$'|))) (|tptp.'tensor_ell2$'| (|tptp.'fun_app$t'| (|tptp.'cblinfun_apply$a'| |tptp.'a$'|) (|tptp.'ket$a'| |tptp.'i$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| (|tptp.'fun_app$m'| (|tptp.'fun_app$n'| |tptp.'plus$a'| |tptp.'b1$'|) |tptp.'b2$'|)) (|tptp.'ket$b'| |tptp.'j$'|)))) (= (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| (|tptp.'fun_app$r'| (|tptp.'fun_app$s'| |tptp.'plus$b'| (|tptp.'tensor_op$'| |tptp.'a$'| |tptp.'b1$'|)) (|tptp.'tensor_op$'| |tptp.'a$'| |tptp.'b2$'|))) (|tptp.'fun_app$o'| |tptp.'ket$'| (|tptp.'fun_app$p'| (|tptp.'fun_app$q'| |tptp.'pair$'| |tptp.'i$'|) |tptp.'j$'|))) (|tptp.'plus$u'| (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| (|tptp.'tensor_op$'| |tptp.'a$'| |tptp.'b1$'|)) (|tptp.'fun_app$o'| |tptp.'ket$'| (|tptp.'fun_app$p'| (|tptp.'fun_app$q'| |tptp.'pair$'| |tptp.'i$'|) |tptp.'j$'|))) (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| (|tptp.'tensor_op$'| |tptp.'a$'| |tptp.'b2$'|)) (|tptp.'fun_app$o'| |tptp.'ket$'| (|tptp.'fun_app$p'| (|tptp.'fun_app$q'| |tptp.'pair$'| |tptp.'i$'|) |tptp.'j$'|))))) (= (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| (|tptp.'tensor_op$'| |tptp.'a$'| |tptp.'b2$'|)) (|tptp.'fun_app$o'| |tptp.'ket$'| (|tptp.'fun_app$p'| (|tptp.'fun_app$q'| |tptp.'pair$'| |tptp.'i$'|) |tptp.'j$'|))) (|tptp.'tensor_ell2$'| (|tptp.'fun_app$t'| (|tptp.'cblinfun_apply$a'| |tptp.'a$'|) (|tptp.'ket$a'| |tptp.'i$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b2$'|) (|tptp.'ket$b'| |tptp.'j$'|)))) (= (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| (|tptp.'tensor_op$'| |tptp.'a$'| |tptp.'b1$'|)) (|tptp.'fun_app$o'| |tptp.'ket$'| (|tptp.'fun_app$p'| (|tptp.'fun_app$q'| |tptp.'pair$'| |tptp.'i$'|) |tptp.'j$'|))) (|tptp.'tensor_ell2$'| (|tptp.'fun_app$t'| (|tptp.'cblinfun_apply$a'| |tptp.'a$'|) (|tptp.'ket$a'| |tptp.'i$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b1$'|) (|tptp.'ket$b'| |tptp.'j$'|)))) (= (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| (|tptp.'fun_app$m'| (|tptp.'fun_app$n'| |tptp.'plus$a'| |tptp.'b1$'|) |tptp.'b2$'|)) (|tptp.'ket$b'| |tptp.'j$'|)) (|tptp.'plus$i'| (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b1$'|) (|tptp.'ket$b'| |tptp.'j$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b2$'|) (|tptp.'ket$b'| |tptp.'j$'|)))) (= (|tptp.'tensor_ell2$'| (|tptp.'fun_app$t'| (|tptp.'cblinfun_apply$a'| |tptp.'a$'|) (|tptp.'ket$a'| |tptp.'i$'|)) (|tptp.'plus$i'| (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b1$'|) (|tptp.'ket$b'| |tptp.'j$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b2$'|) (|tptp.'ket$b'| |tptp.'j$'|)))) (|tptp.'plus$u'| (|tptp.'tensor_ell2$'| (|tptp.'fun_app$t'| (|tptp.'cblinfun_apply$a'| |tptp.'a$'|) (|tptp.'ket$a'| |tptp.'i$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b1$'|) (|tptp.'ket$b'| |tptp.'j$'|))) (|tptp.'tensor_ell2$'| (|tptp.'fun_app$t'| (|tptp.'cblinfun_apply$a'| |tptp.'a$'|) (|tptp.'ket$a'| |tptp.'i$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b2$'|) (|tptp.'ket$b'| |tptp.'j$'|))))))) (not (and (not (= (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| (|tptp.'tensor_op$'| |tptp.'a$'| (|tptp.'fun_app$m'| (|tptp.'fun_app$n'| |tptp.'plus$a'| |tptp.'b1$'|) |tptp.'b2$'|))) (|tptp.'fun_app$o'| |tptp.'ket$'| (|tptp.'fun_app$p'| (|tptp.'fun_app$q'| |tptp.'pair$'| |tptp.'i$'|) |tptp.'j$'|))) (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| (|tptp.'fun_app$r'| (|tptp.'fun_app$s'| |tptp.'plus$b'| (|tptp.'tensor_op$'| |tptp.'a$'| |tptp.'b1$'|)) (|tptp.'tensor_op$'| |tptp.'a$'| |tptp.'b2$'|))) (|tptp.'fun_app$o'| |tptp.'ket$'| (|tptp.'fun_app$p'| (|tptp.'fun_app$q'| |tptp.'pair$'| |tptp.'i$'|) |tptp.'j$'|))))) (= (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| (|tptp.'tensor_op$'| |tptp.'a$'| (|tptp.'fun_app$m'| (|tptp.'fun_app$n'| |tptp.'plus$a'| |tptp.'b1$'|) |tptp.'b2$'|))) (|tptp.'fun_app$o'| |tptp.'ket$'| (|tptp.'fun_app$p'| (|tptp.'fun_app$q'| |tptp.'pair$'| |tptp.'i$'|) |tptp.'j$'|))) (|tptp.'tensor_ell2$'| (|tptp.'fun_app$t'| (|tptp.'cblinfun_apply$a'| |tptp.'a$'|) (|tptp.'ket$a'| |tptp.'i$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| (|tptp.'fun_app$m'| (|tptp.'fun_app$n'| |tptp.'plus$a'| |tptp.'b1$'|) |tptp.'b2$'|)) (|tptp.'ket$b'| |tptp.'j$'|)))) (= (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| (|tptp.'fun_app$r'| (|tptp.'fun_app$s'| |tptp.'plus$b'| (|tptp.'tensor_op$'| |tptp.'a$'| |tptp.'b1$'|)) (|tptp.'tensor_op$'| |tptp.'a$'| |tptp.'b2$'|))) (|tptp.'fun_app$o'| |tptp.'ket$'| (|tptp.'fun_app$p'| (|tptp.'fun_app$q'| |tptp.'pair$'| |tptp.'i$'|) |tptp.'j$'|))) (|tptp.'plus$u'| (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| (|tptp.'tensor_op$'| |tptp.'a$'| |tptp.'b1$'|)) (|tptp.'fun_app$o'| |tptp.'ket$'| (|tptp.'fun_app$p'| (|tptp.'fun_app$q'| |tptp.'pair$'| |tptp.'i$'|) |tptp.'j$'|))) (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| (|tptp.'tensor_op$'| |tptp.'a$'| |tptp.'b2$'|)) (|tptp.'fun_app$o'| |tptp.'ket$'| (|tptp.'fun_app$p'| (|tptp.'fun_app$q'| |tptp.'pair$'| |tptp.'i$'|) |tptp.'j$'|))))) (= (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| (|tptp.'tensor_op$'| |tptp.'a$'| |tptp.'b2$'|)) (|tptp.'fun_app$o'| |tptp.'ket$'| (|tptp.'fun_app$p'| (|tptp.'fun_app$q'| |tptp.'pair$'| |tptp.'i$'|) |tptp.'j$'|))) (|tptp.'tensor_ell2$'| (|tptp.'fun_app$t'| (|tptp.'cblinfun_apply$a'| |tptp.'a$'|) (|tptp.'ket$a'| |tptp.'i$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b2$'|) (|tptp.'ket$b'| |tptp.'j$'|)))) (= (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| (|tptp.'tensor_op$'| |tptp.'a$'| |tptp.'b1$'|)) (|tptp.'fun_app$o'| |tptp.'ket$'| (|tptp.'fun_app$p'| (|tptp.'fun_app$q'| |tptp.'pair$'| |tptp.'i$'|) |tptp.'j$'|))) (|tptp.'tensor_ell2$'| (|tptp.'fun_app$t'| (|tptp.'cblinfun_apply$a'| |tptp.'a$'|) (|tptp.'ket$a'| |tptp.'i$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b1$'|) (|tptp.'ket$b'| |tptp.'j$'|)))) (= (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| (|tptp.'fun_app$m'| (|tptp.'fun_app$n'| |tptp.'plus$a'| |tptp.'b1$'|) |tptp.'b2$'|)) (|tptp.'ket$b'| |tptp.'j$'|)) (|tptp.'plus$i'| (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b1$'|) (|tptp.'ket$b'| |tptp.'j$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b2$'|) (|tptp.'ket$b'| |tptp.'j$'|)))) (= (|tptp.'tensor_ell2$'| (|tptp.'fun_app$t'| (|tptp.'cblinfun_apply$a'| |tptp.'a$'|) (|tptp.'ket$a'| |tptp.'i$'|)) (|tptp.'plus$i'| (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b1$'|) (|tptp.'ket$b'| |tptp.'j$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b2$'|) (|tptp.'ket$b'| |tptp.'j$'|)))) (|tptp.'plus$u'| (|tptp.'tensor_ell2$'| (|tptp.'fun_app$t'| (|tptp.'cblinfun_apply$a'| |tptp.'a$'|) (|tptp.'ket$a'| |tptp.'i$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b1$'|) (|tptp.'ket$b'| |tptp.'j$'|))) (|tptp.'tensor_ell2$'| (|tptp.'fun_app$t'| (|tptp.'cblinfun_apply$a'| |tptp.'a$'|) (|tptp.'ket$a'| |tptp.'i$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b2$'|) (|tptp.'ket$b'| |tptp.'j$'|))))))) (not (and (not (= (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| (|tptp.'tensor_op$'| |tptp.'a$'| (|tptp.'fun_app$m'| (|tptp.'fun_app$n'| |tptp.'plus$a'| |tptp.'b1$'|) |tptp.'b2$'|))) (|tptp.'fun_app$o'| |tptp.'ket$'| (|tptp.'fun_app$p'| (|tptp.'fun_app$q'| |tptp.'pair$'| |tptp.'i$'|) |tptp.'j$'|))) (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| (|tptp.'fun_app$r'| (|tptp.'fun_app$s'| |tptp.'plus$b'| (|tptp.'tensor_op$'| |tptp.'a$'| |tptp.'b1$'|)) (|tptp.'tensor_op$'| |tptp.'a$'| |tptp.'b2$'|))) (|tptp.'fun_app$o'| |tptp.'ket$'| (|tptp.'fun_app$p'| (|tptp.'fun_app$q'| |tptp.'pair$'| |tptp.'i$'|) |tptp.'j$'|))))) (= (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| (|tptp.'tensor_op$'| |tptp.'a$'| (|tptp.'fun_app$m'| (|tptp.'fun_app$n'| |tptp.'plus$a'| |tptp.'b1$'|) |tptp.'b2$'|))) (|tptp.'fun_app$o'| |tptp.'ket$'| (|tptp.'fun_app$p'| (|tptp.'fun_app$q'| |tptp.'pair$'| |tptp.'i$'|) |tptp.'j$'|))) (|tptp.'tensor_ell2$'| (|tptp.'fun_app$t'| (|tptp.'cblinfun_apply$a'| |tptp.'a$'|) (|tptp.'ket$a'| |tptp.'i$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| (|tptp.'fun_app$m'| (|tptp.'fun_app$n'| |tptp.'plus$a'| |tptp.'b1$'|) |tptp.'b2$'|)) (|tptp.'ket$b'| |tptp.'j$'|)))) (= (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| (|tptp.'fun_app$r'| (|tptp.'fun_app$s'| |tptp.'plus$b'| (|tptp.'tensor_op$'| |tptp.'a$'| |tptp.'b1$'|)) (|tptp.'tensor_op$'| |tptp.'a$'| |tptp.'b2$'|))) (|tptp.'fun_app$o'| |tptp.'ket$'| (|tptp.'fun_app$p'| (|tptp.'fun_app$q'| |tptp.'pair$'| |tptp.'i$'|) |tptp.'j$'|))) (|tptp.'plus$u'| (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| (|tptp.'tensor_op$'| |tptp.'a$'| |tptp.'b1$'|)) (|tptp.'fun_app$o'| |tptp.'ket$'| (|tptp.'fun_app$p'| (|tptp.'fun_app$q'| |tptp.'pair$'| |tptp.'i$'|) |tptp.'j$'|))) (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| (|tptp.'tensor_op$'| |tptp.'a$'| |tptp.'b2$'|)) (|tptp.'fun_app$o'| |tptp.'ket$'| (|tptp.'fun_app$p'| (|tptp.'fun_app$q'| |tptp.'pair$'| |tptp.'i$'|) |tptp.'j$'|))))) (= (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| (|tptp.'tensor_op$'| |tptp.'a$'| |tptp.'b2$'|)) (|tptp.'fun_app$o'| |tptp.'ket$'| (|tptp.'fun_app$p'| (|tptp.'fun_app$q'| |tptp.'pair$'| |tptp.'i$'|) |tptp.'j$'|))) (|tptp.'tensor_ell2$'| (|tptp.'fun_app$t'| (|tptp.'cblinfun_apply$a'| |tptp.'a$'|) (|tptp.'ket$a'| |tptp.'i$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b2$'|) (|tptp.'ket$b'| |tptp.'j$'|)))) (= (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| (|tptp.'tensor_op$'| |tptp.'a$'| |tptp.'b1$'|)) (|tptp.'fun_app$o'| |tptp.'ket$'| (|tptp.'fun_app$p'| (|tptp.'fun_app$q'| |tptp.'pair$'| |tptp.'i$'|) |tptp.'j$'|))) (|tptp.'tensor_ell2$'| (|tptp.'fun_app$t'| (|tptp.'cblinfun_apply$a'| |tptp.'a$'|) (|tptp.'ket$a'| |tptp.'i$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b1$'|) (|tptp.'ket$b'| |tptp.'j$'|)))) (= (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| (|tptp.'fun_app$m'| (|tptp.'fun_app$n'| |tptp.'plus$a'| |tptp.'b1$'|) |tptp.'b2$'|)) (|tptp.'ket$b'| |tptp.'j$'|)) (|tptp.'plus$i'| (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b1$'|) (|tptp.'ket$b'| |tptp.'j$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b2$'|) (|tptp.'ket$b'| |tptp.'j$'|)))) (= (|tptp.'tensor_ell2$'| (|tptp.'fun_app$t'| (|tptp.'cblinfun_apply$a'| |tptp.'a$'|) (|tptp.'ket$a'| |tptp.'i$'|)) (|tptp.'plus$i'| (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b1$'|) (|tptp.'ket$b'| |tptp.'j$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b2$'|) (|tptp.'ket$b'| |tptp.'j$'|)))) (|tptp.'plus$u'| (|tptp.'tensor_ell2$'| (|tptp.'fun_app$t'| (|tptp.'cblinfun_apply$a'| |tptp.'a$'|) (|tptp.'ket$a'| |tptp.'i$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b1$'|) (|tptp.'ket$b'| |tptp.'j$'|))) (|tptp.'tensor_ell2$'| (|tptp.'fun_app$t'| (|tptp.'cblinfun_apply$a'| |tptp.'a$'|) (|tptp.'ket$a'| |tptp.'i$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b2$'|) (|tptp.'ket$b'| |tptp.'j$'|))))))) (not (and (not (= (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| (|tptp.'tensor_op$'| |tptp.'a$'| (|tptp.'fun_app$m'| (|tptp.'fun_app$n'| |tptp.'plus$a'| |tptp.'b1$'|) |tptp.'b2$'|))) (|tptp.'fun_app$o'| |tptp.'ket$'| (|tptp.'fun_app$p'| (|tptp.'fun_app$q'| |tptp.'pair$'| |tptp.'i$'|) |tptp.'j$'|))) (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| (|tptp.'fun_app$r'| (|tptp.'fun_app$s'| |tptp.'plus$b'| (|tptp.'tensor_op$'| |tptp.'a$'| |tptp.'b1$'|)) (|tptp.'tensor_op$'| |tptp.'a$'| |tptp.'b2$'|))) (|tptp.'fun_app$o'| |tptp.'ket$'| (|tptp.'fun_app$p'| (|tptp.'fun_app$q'| |tptp.'pair$'| |tptp.'i$'|) |tptp.'j$'|))))) (= (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| (|tptp.'tensor_op$'| |tptp.'a$'| (|tptp.'fun_app$m'| (|tptp.'fun_app$n'| |tptp.'plus$a'| |tptp.'b1$'|) |tptp.'b2$'|))) (|tptp.'fun_app$o'| |tptp.'ket$'| (|tptp.'fun_app$p'| (|tptp.'fun_app$q'| |tptp.'pair$'| |tptp.'i$'|) |tptp.'j$'|))) (|tptp.'tensor_ell2$'| (|tptp.'fun_app$t'| (|tptp.'cblinfun_apply$a'| |tptp.'a$'|) (|tptp.'ket$a'| |tptp.'i$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| (|tptp.'fun_app$m'| (|tptp.'fun_app$n'| |tptp.'plus$a'| |tptp.'b1$'|) |tptp.'b2$'|)) (|tptp.'ket$b'| |tptp.'j$'|)))) (= (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| (|tptp.'fun_app$r'| (|tptp.'fun_app$s'| |tptp.'plus$b'| (|tptp.'tensor_op$'| |tptp.'a$'| |tptp.'b1$'|)) (|tptp.'tensor_op$'| |tptp.'a$'| |tptp.'b2$'|))) (|tptp.'fun_app$o'| |tptp.'ket$'| (|tptp.'fun_app$p'| (|tptp.'fun_app$q'| |tptp.'pair$'| |tptp.'i$'|) |tptp.'j$'|))) (|tptp.'plus$u'| (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| (|tptp.'tensor_op$'| |tptp.'a$'| |tptp.'b1$'|)) (|tptp.'fun_app$o'| |tptp.'ket$'| (|tptp.'fun_app$p'| (|tptp.'fun_app$q'| |tptp.'pair$'| |tptp.'i$'|) |tptp.'j$'|))) (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| (|tptp.'tensor_op$'| |tptp.'a$'| |tptp.'b2$'|)) (|tptp.'fun_app$o'| |tptp.'ket$'| (|tptp.'fun_app$p'| (|tptp.'fun_app$q'| |tptp.'pair$'| |tptp.'i$'|) |tptp.'j$'|))))) (= (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| (|tptp.'tensor_op$'| |tptp.'a$'| |tptp.'b2$'|)) (|tptp.'fun_app$o'| |tptp.'ket$'| (|tptp.'fun_app$p'| (|tptp.'fun_app$q'| |tptp.'pair$'| |tptp.'i$'|) |tptp.'j$'|))) (|tptp.'tensor_ell2$'| (|tptp.'fun_app$t'| (|tptp.'cblinfun_apply$a'| |tptp.'a$'|) (|tptp.'ket$a'| |tptp.'i$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b2$'|) (|tptp.'ket$b'| |tptp.'j$'|)))) (= (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| (|tptp.'tensor_op$'| |tptp.'a$'| |tptp.'b1$'|)) (|tptp.'fun_app$o'| |tptp.'ket$'| (|tptp.'fun_app$p'| (|tptp.'fun_app$q'| |tptp.'pair$'| |tptp.'i$'|) |tptp.'j$'|))) (|tptp.'tensor_ell2$'| (|tptp.'fun_app$t'| (|tptp.'cblinfun_apply$a'| |tptp.'a$'|) (|tptp.'ket$a'| |tptp.'i$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b1$'|) (|tptp.'ket$b'| |tptp.'j$'|)))) (= (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| (|tptp.'fun_app$m'| (|tptp.'fun_app$n'| |tptp.'plus$a'| |tptp.'b1$'|) |tptp.'b2$'|)) (|tptp.'ket$b'| |tptp.'j$'|)) (|tptp.'plus$i'| (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b1$'|) (|tptp.'ket$b'| |tptp.'j$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b2$'|) (|tptp.'ket$b'| |tptp.'j$'|)))) (= (|tptp.'tensor_ell2$'| (|tptp.'fun_app$t'| (|tptp.'cblinfun_apply$a'| |tptp.'a$'|) (|tptp.'ket$a'| |tptp.'i$'|)) (|tptp.'plus$i'| (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b1$'|) (|tptp.'ket$b'| |tptp.'j$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b2$'|) (|tptp.'ket$b'| |tptp.'j$'|)))) (|tptp.'plus$u'| (|tptp.'tensor_ell2$'| (|tptp.'fun_app$t'| (|tptp.'cblinfun_apply$a'| |tptp.'a$'|) (|tptp.'ket$a'| |tptp.'i$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b1$'|) (|tptp.'ket$b'| |tptp.'j$'|))) (|tptp.'tensor_ell2$'| (|tptp.'fun_app$t'| (|tptp.'cblinfun_apply$a'| |tptp.'a$'|) (|tptp.'ket$a'| |tptp.'i$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b2$'|) (|tptp.'ket$b'| |tptp.'j$'|))))))) (not (and (not (= (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| (|tptp.'tensor_op$'| |tptp.'a$'| (|tptp.'fun_app$m'| (|tptp.'fun_app$n'| |tptp.'plus$a'| |tptp.'b1$'|) |tptp.'b2$'|))) (|tptp.'fun_app$o'| |tptp.'ket$'| (|tptp.'fun_app$p'| (|tptp.'fun_app$q'| |tptp.'pair$'| |tptp.'i$'|) |tptp.'j$'|))) (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| (|tptp.'fun_app$r'| (|tptp.'fun_app$s'| |tptp.'plus$b'| (|tptp.'tensor_op$'| |tptp.'a$'| |tptp.'b1$'|)) (|tptp.'tensor_op$'| |tptp.'a$'| |tptp.'b2$'|))) (|tptp.'fun_app$o'| |tptp.'ket$'| (|tptp.'fun_app$p'| (|tptp.'fun_app$q'| |tptp.'pair$'| |tptp.'i$'|) |tptp.'j$'|))))) (= (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| (|tptp.'tensor_op$'| |tptp.'a$'| (|tptp.'fun_app$m'| (|tptp.'fun_app$n'| |tptp.'plus$a'| |tptp.'b1$'|) |tptp.'b2$'|))) (|tptp.'fun_app$o'| |tptp.'ket$'| (|tptp.'fun_app$p'| (|tptp.'fun_app$q'| |tptp.'pair$'| |tptp.'i$'|) |tptp.'j$'|))) (|tptp.'tensor_ell2$'| (|tptp.'fun_app$t'| (|tptp.'cblinfun_apply$a'| |tptp.'a$'|) (|tptp.'ket$a'| |tptp.'i$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| (|tptp.'fun_app$m'| (|tptp.'fun_app$n'| |tptp.'plus$a'| |tptp.'b1$'|) |tptp.'b2$'|)) (|tptp.'ket$b'| |tptp.'j$'|)))) (= (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| (|tptp.'fun_app$r'| (|tptp.'fun_app$s'| |tptp.'plus$b'| (|tptp.'tensor_op$'| |tptp.'a$'| |tptp.'b1$'|)) (|tptp.'tensor_op$'| |tptp.'a$'| |tptp.'b2$'|))) (|tptp.'fun_app$o'| |tptp.'ket$'| (|tptp.'fun_app$p'| (|tptp.'fun_app$q'| |tptp.'pair$'| |tptp.'i$'|) |tptp.'j$'|))) (|tptp.'plus$u'| (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| (|tptp.'tensor_op$'| |tptp.'a$'| |tptp.'b1$'|)) (|tptp.'fun_app$o'| |tptp.'ket$'| (|tptp.'fun_app$p'| (|tptp.'fun_app$q'| |tptp.'pair$'| |tptp.'i$'|) |tptp.'j$'|))) (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| (|tptp.'tensor_op$'| |tptp.'a$'| |tptp.'b2$'|)) (|tptp.'fun_app$o'| |tptp.'ket$'| (|tptp.'fun_app$p'| (|tptp.'fun_app$q'| |tptp.'pair$'| |tptp.'i$'|) |tptp.'j$'|))))) (= (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| (|tptp.'tensor_op$'| |tptp.'a$'| |tptp.'b2$'|)) (|tptp.'fun_app$o'| |tptp.'ket$'| (|tptp.'fun_app$p'| (|tptp.'fun_app$q'| |tptp.'pair$'| |tptp.'i$'|) |tptp.'j$'|))) (|tptp.'tensor_ell2$'| (|tptp.'fun_app$t'| (|tptp.'cblinfun_apply$a'| |tptp.'a$'|) (|tptp.'ket$a'| |tptp.'i$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b2$'|) (|tptp.'ket$b'| |tptp.'j$'|)))) (= (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| (|tptp.'tensor_op$'| |tptp.'a$'| |tptp.'b1$'|)) (|tptp.'fun_app$o'| |tptp.'ket$'| (|tptp.'fun_app$p'| (|tptp.'fun_app$q'| |tptp.'pair$'| |tptp.'i$'|) |tptp.'j$'|))) (|tptp.'tensor_ell2$'| (|tptp.'fun_app$t'| (|tptp.'cblinfun_apply$a'| |tptp.'a$'|) (|tptp.'ket$a'| |tptp.'i$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b1$'|) (|tptp.'ket$b'| |tptp.'j$'|)))) (= (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| (|tptp.'fun_app$m'| (|tptp.'fun_app$n'| |tptp.'plus$a'| |tptp.'b1$'|) |tptp.'b2$'|)) (|tptp.'ket$b'| |tptp.'j$'|)) (|tptp.'plus$i'| (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b1$'|) (|tptp.'ket$b'| |tptp.'j$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b2$'|) (|tptp.'ket$b'| |tptp.'j$'|)))) (= (|tptp.'tensor_ell2$'| (|tptp.'fun_app$t'| (|tptp.'cblinfun_apply$a'| |tptp.'a$'|) (|tptp.'ket$a'| |tptp.'i$'|)) (|tptp.'plus$i'| (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b1$'|) (|tptp.'ket$b'| |tptp.'j$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b2$'|) (|tptp.'ket$b'| |tptp.'j$'|)))) (|tptp.'plus$u'| (|tptp.'tensor_ell2$'| (|tptp.'fun_app$t'| (|tptp.'cblinfun_apply$a'| |tptp.'a$'|) (|tptp.'ket$a'| |tptp.'i$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b1$'|) (|tptp.'ket$b'| |tptp.'j$'|))) (|tptp.'tensor_ell2$'| (|tptp.'fun_app$t'| (|tptp.'cblinfun_apply$a'| |tptp.'a$'|) (|tptp.'ket$a'| |tptp.'i$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b2$'|) (|tptp.'ket$b'| |tptp.'j$'|))))))) (not (and (not (= (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| (|tptp.'tensor_op$'| |tptp.'a$'| (|tptp.'fun_app$m'| (|tptp.'fun_app$n'| |tptp.'plus$a'| |tptp.'b1$'|) |tptp.'b2$'|))) (|tptp.'fun_app$o'| |tptp.'ket$'| (|tptp.'fun_app$p'| (|tptp.'fun_app$q'| |tptp.'pair$'| |tptp.'i$'|) |tptp.'j$'|))) (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| (|tptp.'fun_app$r'| (|tptp.'fun_app$s'| |tptp.'plus$b'| (|tptp.'tensor_op$'| |tptp.'a$'| |tptp.'b1$'|)) (|tptp.'tensor_op$'| |tptp.'a$'| |tptp.'b2$'|))) (|tptp.'fun_app$o'| |tptp.'ket$'| (|tptp.'fun_app$p'| (|tptp.'fun_app$q'| |tptp.'pair$'| |tptp.'i$'|) |tptp.'j$'|))))) (= (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| (|tptp.'tensor_op$'| |tptp.'a$'| (|tptp.'fun_app$m'| (|tptp.'fun_app$n'| |tptp.'plus$a'| |tptp.'b1$'|) |tptp.'b2$'|))) (|tptp.'fun_app$o'| |tptp.'ket$'| (|tptp.'fun_app$p'| (|tptp.'fun_app$q'| |tptp.'pair$'| |tptp.'i$'|) |tptp.'j$'|))) (|tptp.'tensor_ell2$'| (|tptp.'fun_app$t'| (|tptp.'cblinfun_apply$a'| |tptp.'a$'|) (|tptp.'ket$a'| |tptp.'i$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| (|tptp.'fun_app$m'| (|tptp.'fun_app$n'| |tptp.'plus$a'| |tptp.'b1$'|) |tptp.'b2$'|)) (|tptp.'ket$b'| |tptp.'j$'|)))) (= (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| (|tptp.'fun_app$r'| (|tptp.'fun_app$s'| |tptp.'plus$b'| (|tptp.'tensor_op$'| |tptp.'a$'| |tptp.'b1$'|)) (|tptp.'tensor_op$'| |tptp.'a$'| |tptp.'b2$'|))) (|tptp.'fun_app$o'| |tptp.'ket$'| (|tptp.'fun_app$p'| (|tptp.'fun_app$q'| |tptp.'pair$'| |tptp.'i$'|) |tptp.'j$'|))) (|tptp.'plus$u'| (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| (|tptp.'tensor_op$'| |tptp.'a$'| |tptp.'b1$'|)) (|tptp.'fun_app$o'| |tptp.'ket$'| (|tptp.'fun_app$p'| (|tptp.'fun_app$q'| |tptp.'pair$'| |tptp.'i$'|) |tptp.'j$'|))) (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| (|tptp.'tensor_op$'| |tptp.'a$'| |tptp.'b2$'|)) (|tptp.'fun_app$o'| |tptp.'ket$'| (|tptp.'fun_app$p'| (|tptp.'fun_app$q'| |tptp.'pair$'| |tptp.'i$'|) |tptp.'j$'|))))) (= (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| (|tptp.'tensor_op$'| |tptp.'a$'| |tptp.'b2$'|)) (|tptp.'fun_app$o'| |tptp.'ket$'| (|tptp.'fun_app$p'| (|tptp.'fun_app$q'| |tptp.'pair$'| |tptp.'i$'|) |tptp.'j$'|))) (|tptp.'tensor_ell2$'| (|tptp.'fun_app$t'| (|tptp.'cblinfun_apply$a'| |tptp.'a$'|) (|tptp.'ket$a'| |tptp.'i$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b2$'|) (|tptp.'ket$b'| |tptp.'j$'|)))) (= (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| (|tptp.'tensor_op$'| |tptp.'a$'| |tptp.'b1$'|)) (|tptp.'fun_app$o'| |tptp.'ket$'| (|tptp.'fun_app$p'| (|tptp.'fun_app$q'| |tptp.'pair$'| |tptp.'i$'|) |tptp.'j$'|))) (|tptp.'tensor_ell2$'| (|tptp.'fun_app$t'| (|tptp.'cblinfun_apply$a'| |tptp.'a$'|) (|tptp.'ket$a'| |tptp.'i$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b1$'|) (|tptp.'ket$b'| |tptp.'j$'|)))) (= (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| (|tptp.'fun_app$m'| (|tptp.'fun_app$n'| |tptp.'plus$a'| |tptp.'b1$'|) |tptp.'b2$'|)) (|tptp.'ket$b'| |tptp.'j$'|)) (|tptp.'plus$i'| (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b1$'|) (|tptp.'ket$b'| |tptp.'j$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b2$'|) (|tptp.'ket$b'| |tptp.'j$'|)))) (= (|tptp.'tensor_ell2$'| (|tptp.'fun_app$t'| (|tptp.'cblinfun_apply$a'| |tptp.'a$'|) (|tptp.'ket$a'| |tptp.'i$'|)) (|tptp.'plus$i'| (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b1$'|) (|tptp.'ket$b'| |tptp.'j$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b2$'|) (|tptp.'ket$b'| |tptp.'j$'|)))) (|tptp.'plus$u'| (|tptp.'tensor_ell2$'| (|tptp.'fun_app$t'| (|tptp.'cblinfun_apply$a'| |tptp.'a$'|) (|tptp.'ket$a'| |tptp.'i$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b1$'|) (|tptp.'ket$b'| |tptp.'j$'|))) (|tptp.'tensor_ell2$'| (|tptp.'fun_app$t'| (|tptp.'cblinfun_apply$a'| |tptp.'a$'|) (|tptp.'ket$a'| |tptp.'i$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b2$'|) (|tptp.'ket$b'| |tptp.'j$'|))))))) (not (and (not (= (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| (|tptp.'tensor_op$'| |tptp.'a$'| (|tptp.'fun_app$m'| (|tptp.'fun_app$n'| |tptp.'plus$a'| |tptp.'b1$'|) |tptp.'b2$'|))) (|tptp.'fun_app$o'| |tptp.'ket$'| (|tptp.'fun_app$p'| (|tptp.'fun_app$q'| |tptp.'pair$'| |tptp.'i$'|) |tptp.'j$'|))) (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| (|tptp.'fun_app$r'| (|tptp.'fun_app$s'| |tptp.'plus$b'| (|tptp.'tensor_op$'| |tptp.'a$'| |tptp.'b1$'|)) (|tptp.'tensor_op$'| |tptp.'a$'| |tptp.'b2$'|))) (|tptp.'fun_app$o'| |tptp.'ket$'| (|tptp.'fun_app$p'| (|tptp.'fun_app$q'| |tptp.'pair$'| |tptp.'i$'|) |tptp.'j$'|))))) (= (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| (|tptp.'tensor_op$'| |tptp.'a$'| (|tptp.'fun_app$m'| (|tptp.'fun_app$n'| |tptp.'plus$a'| |tptp.'b1$'|) |tptp.'b2$'|))) (|tptp.'fun_app$o'| |tptp.'ket$'| (|tptp.'fun_app$p'| (|tptp.'fun_app$q'| |tptp.'pair$'| |tptp.'i$'|) |tptp.'j$'|))) (|tptp.'tensor_ell2$'| (|tptp.'fun_app$t'| (|tptp.'cblinfun_apply$a'| |tptp.'a$'|) (|tptp.'ket$a'| |tptp.'i$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| (|tptp.'fun_app$m'| (|tptp.'fun_app$n'| |tptp.'plus$a'| |tptp.'b1$'|) |tptp.'b2$'|)) (|tptp.'ket$b'| |tptp.'j$'|)))) (= (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| (|tptp.'fun_app$r'| (|tptp.'fun_app$s'| |tptp.'plus$b'| (|tptp.'tensor_op$'| |tptp.'a$'| |tptp.'b1$'|)) (|tptp.'tensor_op$'| |tptp.'a$'| |tptp.'b2$'|))) (|tptp.'fun_app$o'| |tptp.'ket$'| (|tptp.'fun_app$p'| (|tptp.'fun_app$q'| |tptp.'pair$'| |tptp.'i$'|) |tptp.'j$'|))) (|tptp.'plus$u'| (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| (|tptp.'tensor_op$'| |tptp.'a$'| |tptp.'b1$'|)) (|tptp.'fun_app$o'| |tptp.'ket$'| (|tptp.'fun_app$p'| (|tptp.'fun_app$q'| |tptp.'pair$'| |tptp.'i$'|) |tptp.'j$'|))) (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| (|tptp.'tensor_op$'| |tptp.'a$'| |tptp.'b2$'|)) (|tptp.'fun_app$o'| |tptp.'ket$'| (|tptp.'fun_app$p'| (|tptp.'fun_app$q'| |tptp.'pair$'| |tptp.'i$'|) |tptp.'j$'|))))) (= (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| (|tptp.'tensor_op$'| |tptp.'a$'| |tptp.'b2$'|)) (|tptp.'fun_app$o'| |tptp.'ket$'| (|tptp.'fun_app$p'| (|tptp.'fun_app$q'| |tptp.'pair$'| |tptp.'i$'|) |tptp.'j$'|))) (|tptp.'tensor_ell2$'| (|tptp.'fun_app$t'| (|tptp.'cblinfun_apply$a'| |tptp.'a$'|) (|tptp.'ket$a'| |tptp.'i$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b2$'|) (|tptp.'ket$b'| |tptp.'j$'|)))) (= (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| (|tptp.'tensor_op$'| |tptp.'a$'| |tptp.'b1$'|)) (|tptp.'fun_app$o'| |tptp.'ket$'| (|tptp.'fun_app$p'| (|tptp.'fun_app$q'| |tptp.'pair$'| |tptp.'i$'|) |tptp.'j$'|))) (|tptp.'tensor_ell2$'| (|tptp.'fun_app$t'| (|tptp.'cblinfun_apply$a'| |tptp.'a$'|) (|tptp.'ket$a'| |tptp.'i$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b1$'|) (|tptp.'ket$b'| |tptp.'j$'|)))) (= (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| (|tptp.'fun_app$m'| (|tptp.'fun_app$n'| |tptp.'plus$a'| |tptp.'b1$'|) |tptp.'b2$'|)) (|tptp.'ket$b'| |tptp.'j$'|)) (|tptp.'plus$i'| (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b1$'|) (|tptp.'ket$b'| |tptp.'j$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b2$'|) (|tptp.'ket$b'| |tptp.'j$'|)))) (= (|tptp.'tensor_ell2$'| (|tptp.'fun_app$t'| (|tptp.'cblinfun_apply$a'| |tptp.'a$'|) (|tptp.'ket$a'| |tptp.'i$'|)) (|tptp.'plus$i'| (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b1$'|) (|tptp.'ket$b'| |tptp.'j$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b2$'|) (|tptp.'ket$b'| |tptp.'j$'|)))) (|tptp.'plus$u'| (|tptp.'tensor_ell2$'| (|tptp.'fun_app$t'| (|tptp.'cblinfun_apply$a'| |tptp.'a$'|) (|tptp.'ket$a'| |tptp.'i$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b1$'|) (|tptp.'ket$b'| |tptp.'j$'|))) (|tptp.'tensor_ell2$'| (|tptp.'fun_app$t'| (|tptp.'cblinfun_apply$a'| |tptp.'a$'|) (|tptp.'ket$a'| |tptp.'i$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b2$'|) (|tptp.'ket$b'| |tptp.'j$'|)))))))) :rule resolution :premises (t44 t45 t46 t47 t48 t49 t50 t51))
% 1.10/1.27 (step t53 (cl (not (and (not (= (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| (|tptp.'tensor_op$'| |tptp.'a$'| (|tptp.'fun_app$m'| (|tptp.'fun_app$n'| |tptp.'plus$a'| |tptp.'b1$'|) |tptp.'b2$'|))) (|tptp.'fun_app$o'| |tptp.'ket$'| (|tptp.'fun_app$p'| (|tptp.'fun_app$q'| |tptp.'pair$'| |tptp.'i$'|) |tptp.'j$'|))) (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| (|tptp.'fun_app$r'| (|tptp.'fun_app$s'| |tptp.'plus$b'| (|tptp.'tensor_op$'| |tptp.'a$'| |tptp.'b1$'|)) (|tptp.'tensor_op$'| |tptp.'a$'| |tptp.'b2$'|))) (|tptp.'fun_app$o'| |tptp.'ket$'| (|tptp.'fun_app$p'| (|tptp.'fun_app$q'| |tptp.'pair$'| |tptp.'i$'|) |tptp.'j$'|))))) (= (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| (|tptp.'tensor_op$'| |tptp.'a$'| (|tptp.'fun_app$m'| (|tptp.'fun_app$n'| |tptp.'plus$a'| |tptp.'b1$'|) |tptp.'b2$'|))) (|tptp.'fun_app$o'| |tptp.'ket$'| (|tptp.'fun_app$p'| (|tptp.'fun_app$q'| |tptp.'pair$'| |tptp.'i$'|) |tptp.'j$'|))) (|tptp.'tensor_ell2$'| (|tptp.'fun_app$t'| (|tptp.'cblinfun_apply$a'| |tptp.'a$'|) (|tptp.'ket$a'| |tptp.'i$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| (|tptp.'fun_app$m'| (|tptp.'fun_app$n'| |tptp.'plus$a'| |tptp.'b1$'|) |tptp.'b2$'|)) (|tptp.'ket$b'| |tptp.'j$'|)))) (= (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| (|tptp.'fun_app$r'| (|tptp.'fun_app$s'| |tptp.'plus$b'| (|tptp.'tensor_op$'| |tptp.'a$'| |tptp.'b1$'|)) (|tptp.'tensor_op$'| |tptp.'a$'| |tptp.'b2$'|))) (|tptp.'fun_app$o'| |tptp.'ket$'| (|tptp.'fun_app$p'| (|tptp.'fun_app$q'| |tptp.'pair$'| |tptp.'i$'|) |tptp.'j$'|))) (|tptp.'plus$u'| (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| (|tptp.'tensor_op$'| |tptp.'a$'| |tptp.'b1$'|)) (|tptp.'fun_app$o'| |tptp.'ket$'| (|tptp.'fun_app$p'| (|tptp.'fun_app$q'| |tptp.'pair$'| |tptp.'i$'|) |tptp.'j$'|))) (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| (|tptp.'tensor_op$'| |tptp.'a$'| |tptp.'b2$'|)) (|tptp.'fun_app$o'| |tptp.'ket$'| (|tptp.'fun_app$p'| (|tptp.'fun_app$q'| |tptp.'pair$'| |tptp.'i$'|) |tptp.'j$'|))))) (= (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| (|tptp.'tensor_op$'| |tptp.'a$'| |tptp.'b2$'|)) (|tptp.'fun_app$o'| |tptp.'ket$'| (|tptp.'fun_app$p'| (|tptp.'fun_app$q'| |tptp.'pair$'| |tptp.'i$'|) |tptp.'j$'|))) (|tptp.'tensor_ell2$'| (|tptp.'fun_app$t'| (|tptp.'cblinfun_apply$a'| |tptp.'a$'|) (|tptp.'ket$a'| |tptp.'i$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b2$'|) (|tptp.'ket$b'| |tptp.'j$'|)))) (= (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| (|tptp.'tensor_op$'| |tptp.'a$'| |tptp.'b1$'|)) (|tptp.'fun_app$o'| |tptp.'ket$'| (|tptp.'fun_app$p'| (|tptp.'fun_app$q'| |tptp.'pair$'| |tptp.'i$'|) |tptp.'j$'|))) (|tptp.'tensor_ell2$'| (|tptp.'fun_app$t'| (|tptp.'cblinfun_apply$a'| |tptp.'a$'|) (|tptp.'ket$a'| |tptp.'i$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b1$'|) (|tptp.'ket$b'| |tptp.'j$'|)))) (= (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| (|tptp.'fun_app$m'| (|tptp.'fun_app$n'| |tptp.'plus$a'| |tptp.'b1$'|) |tptp.'b2$'|)) (|tptp.'ket$b'| |tptp.'j$'|)) (|tptp.'plus$i'| (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b1$'|) (|tptp.'ket$b'| |tptp.'j$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b2$'|) (|tptp.'ket$b'| |tptp.'j$'|)))) (= (|tptp.'tensor_ell2$'| (|tptp.'fun_app$t'| (|tptp.'cblinfun_apply$a'| |tptp.'a$'|) (|tptp.'ket$a'| |tptp.'i$'|)) (|tptp.'plus$i'| (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b1$'|) (|tptp.'ket$b'| |tptp.'j$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b2$'|) (|tptp.'ket$b'| |tptp.'j$'|)))) (|tptp.'plus$u'| (|tptp.'tensor_ell2$'| (|tptp.'fun_app$t'| (|tptp.'cblinfun_apply$a'| |tptp.'a$'|) (|tptp.'ket$a'| |tptp.'i$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b1$'|) (|tptp.'ket$b'| |tptp.'j$'|))) (|tptp.'tensor_ell2$'| (|tptp.'fun_app$t'| (|tptp.'cblinfun_apply$a'| |tptp.'a$'|) (|tptp.'ket$a'| |tptp.'i$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b2$'|) (|tptp.'ket$b'| |tptp.'j$'|))))))) (not (and (not (= (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| (|tptp.'tensor_op$'| |tptp.'a$'| (|tptp.'fun_app$m'| (|tptp.'fun_app$n'| |tptp.'plus$a'| |tptp.'b1$'|) |tptp.'b2$'|))) (|tptp.'fun_app$o'| |tptp.'ket$'| (|tptp.'fun_app$p'| (|tptp.'fun_app$q'| |tptp.'pair$'| |tptp.'i$'|) |tptp.'j$'|))) (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| (|tptp.'fun_app$r'| (|tptp.'fun_app$s'| |tptp.'plus$b'| (|tptp.'tensor_op$'| |tptp.'a$'| |tptp.'b1$'|)) (|tptp.'tensor_op$'| |tptp.'a$'| |tptp.'b2$'|))) (|tptp.'fun_app$o'| |tptp.'ket$'| (|tptp.'fun_app$p'| (|tptp.'fun_app$q'| |tptp.'pair$'| |tptp.'i$'|) |tptp.'j$'|))))) (= (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| (|tptp.'tensor_op$'| |tptp.'a$'| (|tptp.'fun_app$m'| (|tptp.'fun_app$n'| |tptp.'plus$a'| |tptp.'b1$'|) |tptp.'b2$'|))) (|tptp.'fun_app$o'| |tptp.'ket$'| (|tptp.'fun_app$p'| (|tptp.'fun_app$q'| |tptp.'pair$'| |tptp.'i$'|) |tptp.'j$'|))) (|tptp.'tensor_ell2$'| (|tptp.'fun_app$t'| (|tptp.'cblinfun_apply$a'| |tptp.'a$'|) (|tptp.'ket$a'| |tptp.'i$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| (|tptp.'fun_app$m'| (|tptp.'fun_app$n'| |tptp.'plus$a'| |tptp.'b1$'|) |tptp.'b2$'|)) (|tptp.'ket$b'| |tptp.'j$'|)))) (= (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| (|tptp.'fun_app$r'| (|tptp.'fun_app$s'| |tptp.'plus$b'| (|tptp.'tensor_op$'| |tptp.'a$'| |tptp.'b1$'|)) (|tptp.'tensor_op$'| |tptp.'a$'| |tptp.'b2$'|))) (|tptp.'fun_app$o'| |tptp.'ket$'| (|tptp.'fun_app$p'| (|tptp.'fun_app$q'| |tptp.'pair$'| |tptp.'i$'|) |tptp.'j$'|))) (|tptp.'plus$u'| (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| (|tptp.'tensor_op$'| |tptp.'a$'| |tptp.'b1$'|)) (|tptp.'fun_app$o'| |tptp.'ket$'| (|tptp.'fun_app$p'| (|tptp.'fun_app$q'| |tptp.'pair$'| |tptp.'i$'|) |tptp.'j$'|))) (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| (|tptp.'tensor_op$'| |tptp.'a$'| |tptp.'b2$'|)) (|tptp.'fun_app$o'| |tptp.'ket$'| (|tptp.'fun_app$p'| (|tptp.'fun_app$q'| |tptp.'pair$'| |tptp.'i$'|) |tptp.'j$'|))))) (= (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| (|tptp.'tensor_op$'| |tptp.'a$'| |tptp.'b2$'|)) (|tptp.'fun_app$o'| |tptp.'ket$'| (|tptp.'fun_app$p'| (|tptp.'fun_app$q'| |tptp.'pair$'| |tptp.'i$'|) |tptp.'j$'|))) (|tptp.'tensor_ell2$'| (|tptp.'fun_app$t'| (|tptp.'cblinfun_apply$a'| |tptp.'a$'|) (|tptp.'ket$a'| |tptp.'i$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b2$'|) (|tptp.'ket$b'| |tptp.'j$'|)))) (= (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| (|tptp.'tensor_op$'| |tptp.'a$'| |tptp.'b1$'|)) (|tptp.'fun_app$o'| |tptp.'ket$'| (|tptp.'fun_app$p'| (|tptp.'fun_app$q'| |tptp.'pair$'| |tptp.'i$'|) |tptp.'j$'|))) (|tptp.'tensor_ell2$'| (|tptp.'fun_app$t'| (|tptp.'cblinfun_apply$a'| |tptp.'a$'|) (|tptp.'ket$a'| |tptp.'i$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b1$'|) (|tptp.'ket$b'| |tptp.'j$'|)))) (= (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| (|tptp.'fun_app$m'| (|tptp.'fun_app$n'| |tptp.'plus$a'| |tptp.'b1$'|) |tptp.'b2$'|)) (|tptp.'ket$b'| |tptp.'j$'|)) (|tptp.'plus$i'| (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b1$'|) (|tptp.'ket$b'| |tptp.'j$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b2$'|) (|tptp.'ket$b'| |tptp.'j$'|)))) (= (|tptp.'tensor_ell2$'| (|tptp.'fun_app$t'| (|tptp.'cblinfun_apply$a'| |tptp.'a$'|) (|tptp.'ket$a'| |tptp.'i$'|)) (|tptp.'plus$i'| (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b1$'|) (|tptp.'ket$b'| |tptp.'j$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b2$'|) (|tptp.'ket$b'| |tptp.'j$'|)))) (|tptp.'plus$u'| (|tptp.'tensor_ell2$'| (|tptp.'fun_app$t'| (|tptp.'cblinfun_apply$a'| |tptp.'a$'|) (|tptp.'ket$a'| |tptp.'i$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b1$'|) (|tptp.'ket$b'| |tptp.'j$'|))) (|tptp.'tensor_ell2$'| (|tptp.'fun_app$t'| (|tptp.'cblinfun_apply$a'| |tptp.'a$'|) (|tptp.'ket$a'| |tptp.'i$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b2$'|) (|tptp.'ket$b'| |tptp.'j$'|))))))) (not (and (not (= (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| (|tptp.'tensor_op$'| |tptp.'a$'| (|tptp.'fun_app$m'| (|tptp.'fun_app$n'| |tptp.'plus$a'| |tptp.'b1$'|) |tptp.'b2$'|))) (|tptp.'fun_app$o'| |tptp.'ket$'| (|tptp.'fun_app$p'| (|tptp.'fun_app$q'| |tptp.'pair$'| |tptp.'i$'|) |tptp.'j$'|))) (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| (|tptp.'fun_app$r'| (|tptp.'fun_app$s'| |tptp.'plus$b'| (|tptp.'tensor_op$'| |tptp.'a$'| |tptp.'b1$'|)) (|tptp.'tensor_op$'| |tptp.'a$'| |tptp.'b2$'|))) (|tptp.'fun_app$o'| |tptp.'ket$'| (|tptp.'fun_app$p'| (|tptp.'fun_app$q'| |tptp.'pair$'| |tptp.'i$'|) |tptp.'j$'|))))) (= (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| (|tptp.'tensor_op$'| |tptp.'a$'| (|tptp.'fun_app$m'| (|tptp.'fun_app$n'| |tptp.'plus$a'| |tptp.'b1$'|) |tptp.'b2$'|))) (|tptp.'fun_app$o'| |tptp.'ket$'| (|tptp.'fun_app$p'| (|tptp.'fun_app$q'| |tptp.'pair$'| |tptp.'i$'|) |tptp.'j$'|))) (|tptp.'tensor_ell2$'| (|tptp.'fun_app$t'| (|tptp.'cblinfun_apply$a'| |tptp.'a$'|) (|tptp.'ket$a'| |tptp.'i$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| (|tptp.'fun_app$m'| (|tptp.'fun_app$n'| |tptp.'plus$a'| |tptp.'b1$'|) |tptp.'b2$'|)) (|tptp.'ket$b'| |tptp.'j$'|)))) (= (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| (|tptp.'fun_app$r'| (|tptp.'fun_app$s'| |tptp.'plus$b'| (|tptp.'tensor_op$'| |tptp.'a$'| |tptp.'b1$'|)) (|tptp.'tensor_op$'| |tptp.'a$'| |tptp.'b2$'|))) (|tptp.'fun_app$o'| |tptp.'ket$'| (|tptp.'fun_app$p'| (|tptp.'fun_app$q'| |tptp.'pair$'| |tptp.'i$'|) |tptp.'j$'|))) (|tptp.'plus$u'| (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| (|tptp.'tensor_op$'| |tptp.'a$'| |tptp.'b1$'|)) (|tptp.'fun_app$o'| |tptp.'ket$'| (|tptp.'fun_app$p'| (|tptp.'fun_app$q'| |tptp.'pair$'| |tptp.'i$'|) |tptp.'j$'|))) (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| (|tptp.'tensor_op$'| |tptp.'a$'| |tptp.'b2$'|)) (|tptp.'fun_app$o'| |tptp.'ket$'| (|tptp.'fun_app$p'| (|tptp.'fun_app$q'| |tptp.'pair$'| |tptp.'i$'|) |tptp.'j$'|))))) (= (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| (|tptp.'tensor_op$'| |tptp.'a$'| |tptp.'b2$'|)) (|tptp.'fun_app$o'| |tptp.'ket$'| (|tptp.'fun_app$p'| (|tptp.'fun_app$q'| |tptp.'pair$'| |tptp.'i$'|) |tptp.'j$'|))) (|tptp.'tensor_ell2$'| (|tptp.'fun_app$t'| (|tptp.'cblinfun_apply$a'| |tptp.'a$'|) (|tptp.'ket$a'| |tptp.'i$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b2$'|) (|tptp.'ket$b'| |tptp.'j$'|)))) (= (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| (|tptp.'tensor_op$'| |tptp.'a$'| |tptp.'b1$'|)) (|tptp.'fun_app$o'| |tptp.'ket$'| (|tptp.'fun_app$p'| (|tptp.'fun_app$q'| |tptp.'pair$'| |tptp.'i$'|) |tptp.'j$'|))) (|tptp.'tensor_ell2$'| (|tptp.'fun_app$t'| (|tptp.'cblinfun_apply$a'| |tptp.'a$'|) (|tptp.'ket$a'| |tptp.'i$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b1$'|) (|tptp.'ket$b'| |tptp.'j$'|)))) (= (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| (|tptp.'fun_app$m'| (|tptp.'fun_app$n'| |tptp.'plus$a'| |tptp.'b1$'|) |tptp.'b2$'|)) (|tptp.'ket$b'| |tptp.'j$'|)) (|tptp.'plus$i'| (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b1$'|) (|tptp.'ket$b'| |tptp.'j$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b2$'|) (|tptp.'ket$b'| |tptp.'j$'|)))) (= (|tptp.'tensor_ell2$'| (|tptp.'fun_app$t'| (|tptp.'cblinfun_apply$a'| |tptp.'a$'|) (|tptp.'ket$a'| |tptp.'i$'|)) (|tptp.'plus$i'| (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b1$'|) (|tptp.'ket$b'| |tptp.'j$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b2$'|) (|tptp.'ket$b'| |tptp.'j$'|)))) (|tptp.'plus$u'| (|tptp.'tensor_ell2$'| (|tptp.'fun_app$t'| (|tptp.'cblinfun_apply$a'| |tptp.'a$'|) (|tptp.'ket$a'| |tptp.'i$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b1$'|) (|tptp.'ket$b'| |tptp.'j$'|))) (|tptp.'tensor_ell2$'| (|tptp.'fun_app$t'| (|tptp.'cblinfun_apply$a'| |tptp.'a$'|) (|tptp.'ket$a'| |tptp.'i$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b2$'|) (|tptp.'ket$b'| |tptp.'j$'|))))))) (not (and (not (= (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| (|tptp.'tensor_op$'| |tptp.'a$'| (|tptp.'fun_app$m'| (|tptp.'fun_app$n'| |tptp.'plus$a'| |tptp.'b1$'|) |tptp.'b2$'|))) (|tptp.'fun_app$o'| |tptp.'ket$'| (|tptp.'fun_app$p'| (|tptp.'fun_app$q'| |tptp.'pair$'| |tptp.'i$'|) |tptp.'j$'|))) (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| (|tptp.'fun_app$r'| (|tptp.'fun_app$s'| |tptp.'plus$b'| (|tptp.'tensor_op$'| |tptp.'a$'| |tptp.'b1$'|)) (|tptp.'tensor_op$'| |tptp.'a$'| |tptp.'b2$'|))) (|tptp.'fun_app$o'| |tptp.'ket$'| (|tptp.'fun_app$p'| (|tptp.'fun_app$q'| |tptp.'pair$'| |tptp.'i$'|) |tptp.'j$'|))))) (= (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| (|tptp.'tensor_op$'| |tptp.'a$'| (|tptp.'fun_app$m'| (|tptp.'fun_app$n'| |tptp.'plus$a'| |tptp.'b1$'|) |tptp.'b2$'|))) (|tptp.'fun_app$o'| |tptp.'ket$'| (|tptp.'fun_app$p'| (|tptp.'fun_app$q'| |tptp.'pair$'| |tptp.'i$'|) |tptp.'j$'|))) (|tptp.'tensor_ell2$'| (|tptp.'fun_app$t'| (|tptp.'cblinfun_apply$a'| |tptp.'a$'|) (|tptp.'ket$a'| |tptp.'i$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| (|tptp.'fun_app$m'| (|tptp.'fun_app$n'| |tptp.'plus$a'| |tptp.'b1$'|) |tptp.'b2$'|)) (|tptp.'ket$b'| |tptp.'j$'|)))) (= (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| (|tptp.'fun_app$r'| (|tptp.'fun_app$s'| |tptp.'plus$b'| (|tptp.'tensor_op$'| |tptp.'a$'| |tptp.'b1$'|)) (|tptp.'tensor_op$'| |tptp.'a$'| |tptp.'b2$'|))) (|tptp.'fun_app$o'| |tptp.'ket$'| (|tptp.'fun_app$p'| (|tptp.'fun_app$q'| |tptp.'pair$'| |tptp.'i$'|) |tptp.'j$'|))) (|tptp.'plus$u'| (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| (|tptp.'tensor_op$'| |tptp.'a$'| |tptp.'b1$'|)) (|tptp.'fun_app$o'| |tptp.'ket$'| (|tptp.'fun_app$p'| (|tptp.'fun_app$q'| |tptp.'pair$'| |tptp.'i$'|) |tptp.'j$'|))) (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| (|tptp.'tensor_op$'| |tptp.'a$'| |tptp.'b2$'|)) (|tptp.'fun_app$o'| |tptp.'ket$'| (|tptp.'fun_app$p'| (|tptp.'fun_app$q'| |tptp.'pair$'| |tptp.'i$'|) |tptp.'j$'|))))) (= (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| (|tptp.'tensor_op$'| |tptp.'a$'| |tptp.'b2$'|)) (|tptp.'fun_app$o'| |tptp.'ket$'| (|tptp.'fun_app$p'| (|tptp.'fun_app$q'| |tptp.'pair$'| |tptp.'i$'|) |tptp.'j$'|))) (|tptp.'tensor_ell2$'| (|tptp.'fun_app$t'| (|tptp.'cblinfun_apply$a'| |tptp.'a$'|) (|tptp.'ket$a'| |tptp.'i$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b2$'|) (|tptp.'ket$b'| |tptp.'j$'|)))) (= (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| (|tptp.'tensor_op$'| |tptp.'a$'| |tptp.'b1$'|)) (|tptp.'fun_app$o'| |tptp.'ket$'| (|tptp.'fun_app$p'| (|tptp.'fun_app$q'| |tptp.'pair$'| |tptp.'i$'|) |tptp.'j$'|))) (|tptp.'tensor_ell2$'| (|tptp.'fun_app$t'| (|tptp.'cblinfun_apply$a'| |tptp.'a$'|) (|tptp.'ket$a'| |tptp.'i$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b1$'|) (|tptp.'ket$b'| |tptp.'j$'|)))) (= (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| (|tptp.'fun_app$m'| (|tptp.'fun_app$n'| |tptp.'plus$a'| |tptp.'b1$'|) |tptp.'b2$'|)) (|tptp.'ket$b'| |tptp.'j$'|)) (|tptp.'plus$i'| (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b1$'|) (|tptp.'ket$b'| |tptp.'j$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b2$'|) (|tptp.'ket$b'| |tptp.'j$'|)))) (= (|tptp.'tensor_ell2$'| (|tptp.'fun_app$t'| (|tptp.'cblinfun_apply$a'| |tptp.'a$'|) (|tptp.'ket$a'| |tptp.'i$'|)) (|tptp.'plus$i'| (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b1$'|) (|tptp.'ket$b'| |tptp.'j$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b2$'|) (|tptp.'ket$b'| |tptp.'j$'|)))) (|tptp.'plus$u'| (|tptp.'tensor_ell2$'| (|tptp.'fun_app$t'| (|tptp.'cblinfun_apply$a'| |tptp.'a$'|) (|tptp.'ket$a'| |tptp.'i$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b1$'|) (|tptp.'ket$b'| |tptp.'j$'|))) (|tptp.'tensor_ell2$'| (|tptp.'fun_app$t'| (|tptp.'cblinfun_apply$a'| |tptp.'a$'|) (|tptp.'ket$a'| |tptp.'i$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b2$'|) (|tptp.'ket$b'| |tptp.'j$'|))))))) (not (and (not (= (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| (|tptp.'tensor_op$'| |tptp.'a$'| (|tptp.'fun_app$m'| (|tptp.'fun_app$n'| |tptp.'plus$a'| |tptp.'b1$'|) |tptp.'b2$'|))) (|tptp.'fun_app$o'| |tptp.'ket$'| (|tptp.'fun_app$p'| (|tptp.'fun_app$q'| |tptp.'pair$'| |tptp.'i$'|) |tptp.'j$'|))) (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| (|tptp.'fun_app$r'| (|tptp.'fun_app$s'| |tptp.'plus$b'| (|tptp.'tensor_op$'| |tptp.'a$'| |tptp.'b1$'|)) (|tptp.'tensor_op$'| |tptp.'a$'| |tptp.'b2$'|))) (|tptp.'fun_app$o'| |tptp.'ket$'| (|tptp.'fun_app$p'| (|tptp.'fun_app$q'| |tptp.'pair$'| |tptp.'i$'|) |tptp.'j$'|))))) (= (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| (|tptp.'tensor_op$'| |tptp.'a$'| (|tptp.'fun_app$m'| (|tptp.'fun_app$n'| |tptp.'plus$a'| |tptp.'b1$'|) |tptp.'b2$'|))) (|tptp.'fun_app$o'| |tptp.'ket$'| (|tptp.'fun_app$p'| (|tptp.'fun_app$q'| |tptp.'pair$'| |tptp.'i$'|) |tptp.'j$'|))) (|tptp.'tensor_ell2$'| (|tptp.'fun_app$t'| (|tptp.'cblinfun_apply$a'| |tptp.'a$'|) (|tptp.'ket$a'| |tptp.'i$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| (|tptp.'fun_app$m'| (|tptp.'fun_app$n'| |tptp.'plus$a'| |tptp.'b1$'|) |tptp.'b2$'|)) (|tptp.'ket$b'| |tptp.'j$'|)))) (= (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| (|tptp.'fun_app$r'| (|tptp.'fun_app$s'| |tptp.'plus$b'| (|tptp.'tensor_op$'| |tptp.'a$'| |tptp.'b1$'|)) (|tptp.'tensor_op$'| |tptp.'a$'| |tptp.'b2$'|))) (|tptp.'fun_app$o'| |tptp.'ket$'| (|tptp.'fun_app$p'| (|tptp.'fun_app$q'| |tptp.'pair$'| |tptp.'i$'|) |tptp.'j$'|))) (|tptp.'plus$u'| (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| (|tptp.'tensor_op$'| |tptp.'a$'| |tptp.'b1$'|)) (|tptp.'fun_app$o'| |tptp.'ket$'| (|tptp.'fun_app$p'| (|tptp.'fun_app$q'| |tptp.'pair$'| |tptp.'i$'|) |tptp.'j$'|))) (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| (|tptp.'tensor_op$'| |tptp.'a$'| |tptp.'b2$'|)) (|tptp.'fun_app$o'| |tptp.'ket$'| (|tptp.'fun_app$p'| (|tptp.'fun_app$q'| |tptp.'pair$'| |tptp.'i$'|) |tptp.'j$'|))))) (= (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| (|tptp.'tensor_op$'| |tptp.'a$'| |tptp.'b2$'|)) (|tptp.'fun_app$o'| |tptp.'ket$'| (|tptp.'fun_app$p'| (|tptp.'fun_app$q'| |tptp.'pair$'| |tptp.'i$'|) |tptp.'j$'|))) (|tptp.'tensor_ell2$'| (|tptp.'fun_app$t'| (|tptp.'cblinfun_apply$a'| |tptp.'a$'|) (|tptp.'ket$a'| |tptp.'i$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b2$'|) (|tptp.'ket$b'| |tptp.'j$'|)))) (= (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| (|tptp.'tensor_op$'| |tptp.'a$'| |tptp.'b1$'|)) (|tptp.'fun_app$o'| |tptp.'ket$'| (|tptp.'fun_app$p'| (|tptp.'fun_app$q'| |tptp.'pair$'| |tptp.'i$'|) |tptp.'j$'|))) (|tptp.'tensor_ell2$'| (|tptp.'fun_app$t'| (|tptp.'cblinfun_apply$a'| |tptp.'a$'|) (|tptp.'ket$a'| |tptp.'i$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b1$'|) (|tptp.'ket$b'| |tptp.'j$'|)))) (= (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| (|tptp.'fun_app$m'| (|tptp.'fun_app$n'| |tptp.'plus$a'| |tptp.'b1$'|) |tptp.'b2$'|)) (|tptp.'ket$b'| |tptp.'j$'|)) (|tptp.'plus$i'| (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b1$'|) (|tptp.'ket$b'| |tptp.'j$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b2$'|) (|tptp.'ket$b'| |tptp.'j$'|)))) (= (|tptp.'tensor_ell2$'| (|tptp.'fun_app$t'| (|tptp.'cblinfun_apply$a'| |tptp.'a$'|) (|tptp.'ket$a'| |tptp.'i$'|)) (|tptp.'plus$i'| (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b1$'|) (|tptp.'ket$b'| |tptp.'j$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b2$'|) (|tptp.'ket$b'| |tptp.'j$'|)))) (|tptp.'plus$u'| (|tptp.'tensor_ell2$'| (|tptp.'fun_app$t'| (|tptp.'cblinfun_apply$a'| |tptp.'a$'|) (|tptp.'ket$a'| |tptp.'i$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b1$'|) (|tptp.'ket$b'| |tptp.'j$'|))) (|tptp.'tensor_ell2$'| (|tptp.'fun_app$t'| (|tptp.'cblinfun_apply$a'| |tptp.'a$'|) (|tptp.'ket$a'| |tptp.'i$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b2$'|) (|tptp.'ket$b'| |tptp.'j$'|))))))) (not (and (not (= (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| (|tptp.'tensor_op$'| |tptp.'a$'| (|tptp.'fun_app$m'| (|tptp.'fun_app$n'| |tptp.'plus$a'| |tptp.'b1$'|) |tptp.'b2$'|))) (|tptp.'fun_app$o'| |tptp.'ket$'| (|tptp.'fun_app$p'| (|tptp.'fun_app$q'| |tptp.'pair$'| |tptp.'i$'|) |tptp.'j$'|))) (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| (|tptp.'fun_app$r'| (|tptp.'fun_app$s'| |tptp.'plus$b'| (|tptp.'tensor_op$'| |tptp.'a$'| |tptp.'b1$'|)) (|tptp.'tensor_op$'| |tptp.'a$'| |tptp.'b2$'|))) (|tptp.'fun_app$o'| |tptp.'ket$'| (|tptp.'fun_app$p'| (|tptp.'fun_app$q'| |tptp.'pair$'| |tptp.'i$'|) |tptp.'j$'|))))) (= (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| (|tptp.'tensor_op$'| |tptp.'a$'| (|tptp.'fun_app$m'| (|tptp.'fun_app$n'| |tptp.'plus$a'| |tptp.'b1$'|) |tptp.'b2$'|))) (|tptp.'fun_app$o'| |tptp.'ket$'| (|tptp.'fun_app$p'| (|tptp.'fun_app$q'| |tptp.'pair$'| |tptp.'i$'|) |tptp.'j$'|))) (|tptp.'tensor_ell2$'| (|tptp.'fun_app$t'| (|tptp.'cblinfun_apply$a'| |tptp.'a$'|) (|tptp.'ket$a'| |tptp.'i$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| (|tptp.'fun_app$m'| (|tptp.'fun_app$n'| |tptp.'plus$a'| |tptp.'b1$'|) |tptp.'b2$'|)) (|tptp.'ket$b'| |tptp.'j$'|)))) (= (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| (|tptp.'fun_app$r'| (|tptp.'fun_app$s'| |tptp.'plus$b'| (|tptp.'tensor_op$'| |tptp.'a$'| |tptp.'b1$'|)) (|tptp.'tensor_op$'| |tptp.'a$'| |tptp.'b2$'|))) (|tptp.'fun_app$o'| |tptp.'ket$'| (|tptp.'fun_app$p'| (|tptp.'fun_app$q'| |tptp.'pair$'| |tptp.'i$'|) |tptp.'j$'|))) (|tptp.'plus$u'| (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| (|tptp.'tensor_op$'| |tptp.'a$'| |tptp.'b1$'|)) (|tptp.'fun_app$o'| |tptp.'ket$'| (|tptp.'fun_app$p'| (|tptp.'fun_app$q'| |tptp.'pair$'| |tptp.'i$'|) |tptp.'j$'|))) (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| (|tptp.'tensor_op$'| |tptp.'a$'| |tptp.'b2$'|)) (|tptp.'fun_app$o'| |tptp.'ket$'| (|tptp.'fun_app$p'| (|tptp.'fun_app$q'| |tptp.'pair$'| |tptp.'i$'|) |tptp.'j$'|))))) (= (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| (|tptp.'tensor_op$'| |tptp.'a$'| |tptp.'b2$'|)) (|tptp.'fun_app$o'| |tptp.'ket$'| (|tptp.'fun_app$p'| (|tptp.'fun_app$q'| |tptp.'pair$'| |tptp.'i$'|) |tptp.'j$'|))) (|tptp.'tensor_ell2$'| (|tptp.'fun_app$t'| (|tptp.'cblinfun_apply$a'| |tptp.'a$'|) (|tptp.'ket$a'| |tptp.'i$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b2$'|) (|tptp.'ket$b'| |tptp.'j$'|)))) (= (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| (|tptp.'tensor_op$'| |tptp.'a$'| |tptp.'b1$'|)) (|tptp.'fun_app$o'| |tptp.'ket$'| (|tptp.'fun_app$p'| (|tptp.'fun_app$q'| |tptp.'pair$'| |tptp.'i$'|) |tptp.'j$'|))) (|tptp.'tensor_ell2$'| (|tptp.'fun_app$t'| (|tptp.'cblinfun_apply$a'| |tptp.'a$'|) (|tptp.'ket$a'| |tptp.'i$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b1$'|) (|tptp.'ket$b'| |tptp.'j$'|)))) (= (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| (|tptp.'fun_app$m'| (|tptp.'fun_app$n'| |tptp.'plus$a'| |tptp.'b1$'|) |tptp.'b2$'|)) (|tptp.'ket$b'| |tptp.'j$'|)) (|tptp.'plus$i'| (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b1$'|) (|tptp.'ket$b'| |tptp.'j$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b2$'|) (|tptp.'ket$b'| |tptp.'j$'|)))) (= (|tptp.'tensor_ell2$'| (|tptp.'fun_app$t'| (|tptp.'cblinfun_apply$a'| |tptp.'a$'|) (|tptp.'ket$a'| |tptp.'i$'|)) (|tptp.'plus$i'| (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b1$'|) (|tptp.'ket$b'| |tptp.'j$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b2$'|) (|tptp.'ket$b'| |tptp.'j$'|)))) (|tptp.'plus$u'| (|tptp.'tensor_ell2$'| (|tptp.'fun_app$t'| (|tptp.'cblinfun_apply$a'| |tptp.'a$'|) (|tptp.'ket$a'| |tptp.'i$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b1$'|) (|tptp.'ket$b'| |tptp.'j$'|))) (|tptp.'tensor_ell2$'| (|tptp.'fun_app$t'| (|tptp.'cblinfun_apply$a'| |tptp.'a$'|) (|tptp.'ket$a'| |tptp.'i$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b2$'|) (|tptp.'ket$b'| |tptp.'j$'|))))))) (not (and (not (= (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| (|tptp.'tensor_op$'| |tptp.'a$'| (|tptp.'fun_app$m'| (|tptp.'fun_app$n'| |tptp.'plus$a'| |tptp.'b1$'|) |tptp.'b2$'|))) (|tptp.'fun_app$o'| |tptp.'ket$'| (|tptp.'fun_app$p'| (|tptp.'fun_app$q'| |tptp.'pair$'| |tptp.'i$'|) |tptp.'j$'|))) (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| (|tptp.'fun_app$r'| (|tptp.'fun_app$s'| |tptp.'plus$b'| (|tptp.'tensor_op$'| |tptp.'a$'| |tptp.'b1$'|)) (|tptp.'tensor_op$'| |tptp.'a$'| |tptp.'b2$'|))) (|tptp.'fun_app$o'| |tptp.'ket$'| (|tptp.'fun_app$p'| (|tptp.'fun_app$q'| |tptp.'pair$'| |tptp.'i$'|) |tptp.'j$'|))))) (= (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| (|tptp.'tensor_op$'| |tptp.'a$'| (|tptp.'fun_app$m'| (|tptp.'fun_app$n'| |tptp.'plus$a'| |tptp.'b1$'|) |tptp.'b2$'|))) (|tptp.'fun_app$o'| |tptp.'ket$'| (|tptp.'fun_app$p'| (|tptp.'fun_app$q'| |tptp.'pair$'| |tptp.'i$'|) |tptp.'j$'|))) (|tptp.'tensor_ell2$'| (|tptp.'fun_app$t'| (|tptp.'cblinfun_apply$a'| |tptp.'a$'|) (|tptp.'ket$a'| |tptp.'i$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| (|tptp.'fun_app$m'| (|tptp.'fun_app$n'| |tptp.'plus$a'| |tptp.'b1$'|) |tptp.'b2$'|)) (|tptp.'ket$b'| |tptp.'j$'|)))) (= (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| (|tptp.'fun_app$r'| (|tptp.'fun_app$s'| |tptp.'plus$b'| (|tptp.'tensor_op$'| |tptp.'a$'| |tptp.'b1$'|)) (|tptp.'tensor_op$'| |tptp.'a$'| |tptp.'b2$'|))) (|tptp.'fun_app$o'| |tptp.'ket$'| (|tptp.'fun_app$p'| (|tptp.'fun_app$q'| |tptp.'pair$'| |tptp.'i$'|) |tptp.'j$'|))) (|tptp.'plus$u'| (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| (|tptp.'tensor_op$'| |tptp.'a$'| |tptp.'b1$'|)) (|tptp.'fun_app$o'| |tptp.'ket$'| (|tptp.'fun_app$p'| (|tptp.'fun_app$q'| |tptp.'pair$'| |tptp.'i$'|) |tptp.'j$'|))) (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| (|tptp.'tensor_op$'| |tptp.'a$'| |tptp.'b2$'|)) (|tptp.'fun_app$o'| |tptp.'ket$'| (|tptp.'fun_app$p'| (|tptp.'fun_app$q'| |tptp.'pair$'| |tptp.'i$'|) |tptp.'j$'|))))) (= (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| (|tptp.'tensor_op$'| |tptp.'a$'| |tptp.'b2$'|)) (|tptp.'fun_app$o'| |tptp.'ket$'| (|tptp.'fun_app$p'| (|tptp.'fun_app$q'| |tptp.'pair$'| |tptp.'i$'|) |tptp.'j$'|))) (|tptp.'tensor_ell2$'| (|tptp.'fun_app$t'| (|tptp.'cblinfun_apply$a'| |tptp.'a$'|) (|tptp.'ket$a'| |tptp.'i$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b2$'|) (|tptp.'ket$b'| |tptp.'j$'|)))) (= (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| (|tptp.'tensor_op$'| |tptp.'a$'| |tptp.'b1$'|)) (|tptp.'fun_app$o'| |tptp.'ket$'| (|tptp.'fun_app$p'| (|tptp.'fun_app$q'| |tptp.'pair$'| |tptp.'i$'|) |tptp.'j$'|))) (|tptp.'tensor_ell2$'| (|tptp.'fun_app$t'| (|tptp.'cblinfun_apply$a'| |tptp.'a$'|) (|tptp.'ket$a'| |tptp.'i$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b1$'|) (|tptp.'ket$b'| |tptp.'j$'|)))) (= (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| (|tptp.'fun_app$m'| (|tptp.'fun_app$n'| |tptp.'plus$a'| |tptp.'b1$'|) |tptp.'b2$'|)) (|tptp.'ket$b'| |tptp.'j$'|)) (|tptp.'plus$i'| (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b1$'|) (|tptp.'ket$b'| |tptp.'j$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b2$'|) (|tptp.'ket$b'| |tptp.'j$'|)))) (= (|tptp.'tensor_ell2$'| (|tptp.'fun_app$t'| (|tptp.'cblinfun_apply$a'| |tptp.'a$'|) (|tptp.'ket$a'| |tptp.'i$'|)) (|tptp.'plus$i'| (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b1$'|) (|tptp.'ket$b'| |tptp.'j$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b2$'|) (|tptp.'ket$b'| |tptp.'j$'|)))) (|tptp.'plus$u'| (|tptp.'tensor_ell2$'| (|tptp.'fun_app$t'| (|tptp.'cblinfun_apply$a'| |tptp.'a$'|) (|tptp.'ket$a'| |tptp.'i$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b1$'|) (|tptp.'ket$b'| |tptp.'j$'|))) (|tptp.'tensor_ell2$'| (|tptp.'fun_app$t'| (|tptp.'cblinfun_apply$a'| |tptp.'a$'|) (|tptp.'ket$a'| |tptp.'i$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b2$'|) (|tptp.'ket$b'| |tptp.'j$'|))))))) (and (= (|tptp.'tensor_ell2$'| (|tptp.'fun_app$t'| (|tptp.'cblinfun_apply$a'| |tptp.'a$'|) (|tptp.'ket$a'| |tptp.'i$'|)) (|tptp.'plus$i'| (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b1$'|) (|tptp.'ket$b'| |tptp.'j$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b2$'|) (|tptp.'ket$b'| |tptp.'j$'|)))) (|tptp.'plus$u'| (|tptp.'tensor_ell2$'| (|tptp.'fun_app$t'| (|tptp.'cblinfun_apply$a'| |tptp.'a$'|) (|tptp.'ket$a'| |tptp.'i$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b1$'|) (|tptp.'ket$b'| |tptp.'j$'|))) (|tptp.'tensor_ell2$'| (|tptp.'fun_app$t'| (|tptp.'cblinfun_apply$a'| |tptp.'a$'|) (|tptp.'ket$a'| |tptp.'i$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b2$'|) (|tptp.'ket$b'| |tptp.'j$'|))))) (not (= (|tptp.'tensor_ell2$'| (|tptp.'fun_app$t'| (|tptp.'cblinfun_apply$a'| |tptp.'a$'|) (|tptp.'ket$a'| |tptp.'i$'|)) (|tptp.'plus$i'| (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b1$'|) (|tptp.'ket$b'| |tptp.'j$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b2$'|) (|tptp.'ket$b'| |tptp.'j$'|)))) (|tptp.'plus$u'| (|tptp.'tensor_ell2$'| (|tptp.'fun_app$t'| (|tptp.'cblinfun_apply$a'| |tptp.'a$'|) (|tptp.'ket$a'| |tptp.'i$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b1$'|) (|tptp.'ket$b'| |tptp.'j$'|))) (|tptp.'tensor_ell2$'| (|tptp.'fun_app$t'| (|tptp.'cblinfun_apply$a'| |tptp.'a$'|) (|tptp.'ket$a'| |tptp.'i$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b2$'|) (|tptp.'ket$b'| |tptp.'j$'|)))))))) :rule reordering :premises (t52))
% 1.10/1.27 (step t54 (cl (not (and (not (= (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| (|tptp.'tensor_op$'| |tptp.'a$'| (|tptp.'fun_app$m'| (|tptp.'fun_app$n'| |tptp.'plus$a'| |tptp.'b1$'|) |tptp.'b2$'|))) (|tptp.'fun_app$o'| |tptp.'ket$'| (|tptp.'fun_app$p'| (|tptp.'fun_app$q'| |tptp.'pair$'| |tptp.'i$'|) |tptp.'j$'|))) (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| (|tptp.'fun_app$r'| (|tptp.'fun_app$s'| |tptp.'plus$b'| (|tptp.'tensor_op$'| |tptp.'a$'| |tptp.'b1$'|)) (|tptp.'tensor_op$'| |tptp.'a$'| |tptp.'b2$'|))) (|tptp.'fun_app$o'| |tptp.'ket$'| (|tptp.'fun_app$p'| (|tptp.'fun_app$q'| |tptp.'pair$'| |tptp.'i$'|) |tptp.'j$'|))))) (= (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| (|tptp.'tensor_op$'| |tptp.'a$'| (|tptp.'fun_app$m'| (|tptp.'fun_app$n'| |tptp.'plus$a'| |tptp.'b1$'|) |tptp.'b2$'|))) (|tptp.'fun_app$o'| |tptp.'ket$'| (|tptp.'fun_app$p'| (|tptp.'fun_app$q'| |tptp.'pair$'| |tptp.'i$'|) |tptp.'j$'|))) (|tptp.'tensor_ell2$'| (|tptp.'fun_app$t'| (|tptp.'cblinfun_apply$a'| |tptp.'a$'|) (|tptp.'ket$a'| |tptp.'i$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| (|tptp.'fun_app$m'| (|tptp.'fun_app$n'| |tptp.'plus$a'| |tptp.'b1$'|) |tptp.'b2$'|)) (|tptp.'ket$b'| |tptp.'j$'|)))) (= (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| (|tptp.'fun_app$r'| (|tptp.'fun_app$s'| |tptp.'plus$b'| (|tptp.'tensor_op$'| |tptp.'a$'| |tptp.'b1$'|)) (|tptp.'tensor_op$'| |tptp.'a$'| |tptp.'b2$'|))) (|tptp.'fun_app$o'| |tptp.'ket$'| (|tptp.'fun_app$p'| (|tptp.'fun_app$q'| |tptp.'pair$'| |tptp.'i$'|) |tptp.'j$'|))) (|tptp.'plus$u'| (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| (|tptp.'tensor_op$'| |tptp.'a$'| |tptp.'b1$'|)) (|tptp.'fun_app$o'| |tptp.'ket$'| (|tptp.'fun_app$p'| (|tptp.'fun_app$q'| |tptp.'pair$'| |tptp.'i$'|) |tptp.'j$'|))) (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| (|tptp.'tensor_op$'| |tptp.'a$'| |tptp.'b2$'|)) (|tptp.'fun_app$o'| |tptp.'ket$'| (|tptp.'fun_app$p'| (|tptp.'fun_app$q'| |tptp.'pair$'| |tptp.'i$'|) |tptp.'j$'|))))) (= (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| (|tptp.'tensor_op$'| |tptp.'a$'| |tptp.'b2$'|)) (|tptp.'fun_app$o'| |tptp.'ket$'| (|tptp.'fun_app$p'| (|tptp.'fun_app$q'| |tptp.'pair$'| |tptp.'i$'|) |tptp.'j$'|))) (|tptp.'tensor_ell2$'| (|tptp.'fun_app$t'| (|tptp.'cblinfun_apply$a'| |tptp.'a$'|) (|tptp.'ket$a'| |tptp.'i$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b2$'|) (|tptp.'ket$b'| |tptp.'j$'|)))) (= (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| (|tptp.'tensor_op$'| |tptp.'a$'| |tptp.'b1$'|)) (|tptp.'fun_app$o'| |tptp.'ket$'| (|tptp.'fun_app$p'| (|tptp.'fun_app$q'| |tptp.'pair$'| |tptp.'i$'|) |tptp.'j$'|))) (|tptp.'tensor_ell2$'| (|tptp.'fun_app$t'| (|tptp.'cblinfun_apply$a'| |tptp.'a$'|) (|tptp.'ket$a'| |tptp.'i$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b1$'|) (|tptp.'ket$b'| |tptp.'j$'|)))) (= (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| (|tptp.'fun_app$m'| (|tptp.'fun_app$n'| |tptp.'plus$a'| |tptp.'b1$'|) |tptp.'b2$'|)) (|tptp.'ket$b'| |tptp.'j$'|)) (|tptp.'plus$i'| (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b1$'|) (|tptp.'ket$b'| |tptp.'j$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b2$'|) (|tptp.'ket$b'| |tptp.'j$'|)))) (= (|tptp.'tensor_ell2$'| (|tptp.'fun_app$t'| (|tptp.'cblinfun_apply$a'| |tptp.'a$'|) (|tptp.'ket$a'| |tptp.'i$'|)) (|tptp.'plus$i'| (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b1$'|) (|tptp.'ket$b'| |tptp.'j$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b2$'|) (|tptp.'ket$b'| |tptp.'j$'|)))) (|tptp.'plus$u'| (|tptp.'tensor_ell2$'| (|tptp.'fun_app$t'| (|tptp.'cblinfun_apply$a'| |tptp.'a$'|) (|tptp.'ket$a'| |tptp.'i$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b1$'|) (|tptp.'ket$b'| |tptp.'j$'|))) (|tptp.'tensor_ell2$'| (|tptp.'fun_app$t'| (|tptp.'cblinfun_apply$a'| |tptp.'a$'|) (|tptp.'ket$a'| |tptp.'i$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b2$'|) (|tptp.'ket$b'| |tptp.'j$'|))))))) (and (= (|tptp.'tensor_ell2$'| (|tptp.'fun_app$t'| (|tptp.'cblinfun_apply$a'| |tptp.'a$'|) (|tptp.'ket$a'| |tptp.'i$'|)) (|tptp.'plus$i'| (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b1$'|) (|tptp.'ket$b'| |tptp.'j$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b2$'|) (|tptp.'ket$b'| |tptp.'j$'|)))) (|tptp.'plus$u'| (|tptp.'tensor_ell2$'| (|tptp.'fun_app$t'| (|tptp.'cblinfun_apply$a'| |tptp.'a$'|) (|tptp.'ket$a'| |tptp.'i$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b1$'|) (|tptp.'ket$b'| |tptp.'j$'|))) (|tptp.'tensor_ell2$'| (|tptp.'fun_app$t'| (|tptp.'cblinfun_apply$a'| |tptp.'a$'|) (|tptp.'ket$a'| |tptp.'i$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b2$'|) (|tptp.'ket$b'| |tptp.'j$'|))))) (not (= (|tptp.'tensor_ell2$'| (|tptp.'fun_app$t'| (|tptp.'cblinfun_apply$a'| |tptp.'a$'|) (|tptp.'ket$a'| |tptp.'i$'|)) (|tptp.'plus$i'| (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b1$'|) (|tptp.'ket$b'| |tptp.'j$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b2$'|) (|tptp.'ket$b'| |tptp.'j$'|)))) (|tptp.'plus$u'| (|tptp.'tensor_ell2$'| (|tptp.'fun_app$t'| (|tptp.'cblinfun_apply$a'| |tptp.'a$'|) (|tptp.'ket$a'| |tptp.'i$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b1$'|) (|tptp.'ket$b'| |tptp.'j$'|))) (|tptp.'tensor_ell2$'| (|tptp.'fun_app$t'| (|tptp.'cblinfun_apply$a'| |tptp.'a$'|) (|tptp.'ket$a'| |tptp.'i$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b2$'|) (|tptp.'ket$b'| |tptp.'j$'|)))))))) :rule contraction :premises (t53))
% 1.10/1.28 (step t55 (cl (=> (and (not (= (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| (|tptp.'tensor_op$'| |tptp.'a$'| (|tptp.'fun_app$m'| (|tptp.'fun_app$n'| |tptp.'plus$a'| |tptp.'b1$'|) |tptp.'b2$'|))) (|tptp.'fun_app$o'| |tptp.'ket$'| (|tptp.'fun_app$p'| (|tptp.'fun_app$q'| |tptp.'pair$'| |tptp.'i$'|) |tptp.'j$'|))) (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| (|tptp.'fun_app$r'| (|tptp.'fun_app$s'| |tptp.'plus$b'| (|tptp.'tensor_op$'| |tptp.'a$'| |tptp.'b1$'|)) (|tptp.'tensor_op$'| |tptp.'a$'| |tptp.'b2$'|))) (|tptp.'fun_app$o'| |tptp.'ket$'| (|tptp.'fun_app$p'| (|tptp.'fun_app$q'| |tptp.'pair$'| |tptp.'i$'|) |tptp.'j$'|))))) (= (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| (|tptp.'tensor_op$'| |tptp.'a$'| (|tptp.'fun_app$m'| (|tptp.'fun_app$n'| |tptp.'plus$a'| |tptp.'b1$'|) |tptp.'b2$'|))) (|tptp.'fun_app$o'| |tptp.'ket$'| (|tptp.'fun_app$p'| (|tptp.'fun_app$q'| |tptp.'pair$'| |tptp.'i$'|) |tptp.'j$'|))) (|tptp.'tensor_ell2$'| (|tptp.'fun_app$t'| (|tptp.'cblinfun_apply$a'| |tptp.'a$'|) (|tptp.'ket$a'| |tptp.'i$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| (|tptp.'fun_app$m'| (|tptp.'fun_app$n'| |tptp.'plus$a'| |tptp.'b1$'|) |tptp.'b2$'|)) (|tptp.'ket$b'| |tptp.'j$'|)))) (= (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| (|tptp.'fun_app$r'| (|tptp.'fun_app$s'| |tptp.'plus$b'| (|tptp.'tensor_op$'| |tptp.'a$'| |tptp.'b1$'|)) (|tptp.'tensor_op$'| |tptp.'a$'| |tptp.'b2$'|))) (|tptp.'fun_app$o'| |tptp.'ket$'| (|tptp.'fun_app$p'| (|tptp.'fun_app$q'| |tptp.'pair$'| |tptp.'i$'|) |tptp.'j$'|))) (|tptp.'plus$u'| (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| (|tptp.'tensor_op$'| |tptp.'a$'| |tptp.'b1$'|)) (|tptp.'fun_app$o'| |tptp.'ket$'| (|tptp.'fun_app$p'| (|tptp.'fun_app$q'| |tptp.'pair$'| |tptp.'i$'|) |tptp.'j$'|))) (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| (|tptp.'tensor_op$'| |tptp.'a$'| |tptp.'b2$'|)) (|tptp.'fun_app$o'| |tptp.'ket$'| (|tptp.'fun_app$p'| (|tptp.'fun_app$q'| |tptp.'pair$'| |tptp.'i$'|) |tptp.'j$'|))))) (= (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| (|tptp.'tensor_op$'| |tptp.'a$'| |tptp.'b2$'|)) (|tptp.'fun_app$o'| |tptp.'ket$'| (|tptp.'fun_app$p'| (|tptp.'fun_app$q'| |tptp.'pair$'| |tptp.'i$'|) |tptp.'j$'|))) (|tptp.'tensor_ell2$'| (|tptp.'fun_app$t'| (|tptp.'cblinfun_apply$a'| |tptp.'a$'|) (|tptp.'ket$a'| |tptp.'i$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b2$'|) (|tptp.'ket$b'| |tptp.'j$'|)))) (= (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| (|tptp.'tensor_op$'| |tptp.'a$'| |tptp.'b1$'|)) (|tptp.'fun_app$o'| |tptp.'ket$'| (|tptp.'fun_app$p'| (|tptp.'fun_app$q'| |tptp.'pair$'| |tptp.'i$'|) |tptp.'j$'|))) (|tptp.'tensor_ell2$'| (|tptp.'fun_app$t'| (|tptp.'cblinfun_apply$a'| |tptp.'a$'|) (|tptp.'ket$a'| |tptp.'i$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b1$'|) (|tptp.'ket$b'| |tptp.'j$'|)))) (= (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| (|tptp.'fun_app$m'| (|tptp.'fun_app$n'| |tptp.'plus$a'| |tptp.'b1$'|) |tptp.'b2$'|)) (|tptp.'ket$b'| |tptp.'j$'|)) (|tptp.'plus$i'| (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b1$'|) (|tptp.'ket$b'| |tptp.'j$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b2$'|) (|tptp.'ket$b'| |tptp.'j$'|)))) (= (|tptp.'tensor_ell2$'| (|tptp.'fun_app$t'| (|tptp.'cblinfun_apply$a'| |tptp.'a$'|) (|tptp.'ket$a'| |tptp.'i$'|)) (|tptp.'plus$i'| (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b1$'|) (|tptp.'ket$b'| |tptp.'j$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b2$'|) (|tptp.'ket$b'| |tptp.'j$'|)))) (|tptp.'plus$u'| (|tptp.'tensor_ell2$'| (|tptp.'fun_app$t'| (|tptp.'cblinfun_apply$a'| |tptp.'a$'|) (|tptp.'ket$a'| |tptp.'i$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b1$'|) (|tptp.'ket$b'| |tptp.'j$'|))) (|tptp.'tensor_ell2$'| (|tptp.'fun_app$t'| (|tptp.'cblinfun_apply$a'| |tptp.'a$'|) (|tptp.'ket$a'| |tptp.'i$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b2$'|) (|tptp.'ket$b'| |tptp.'j$'|)))))) (and (= (|tptp.'tensor_ell2$'| (|tptp.'fun_app$t'| (|tptp.'cblinfun_apply$a'| |tptp.'a$'|) (|tptp.'ket$a'| |tptp.'i$'|)) (|tptp.'plus$i'| (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b1$'|) (|tptp.'ket$b'| |tptp.'j$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b2$'|) (|tptp.'ket$b'| |tptp.'j$'|)))) (|tptp.'plus$u'| (|tptp.'tensor_ell2$'| (|tptp.'fun_app$t'| (|tptp.'cblinfun_apply$a'| |tptp.'a$'|) (|tptp.'ket$a'| |tptp.'i$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b1$'|) (|tptp.'ket$b'| |tptp.'j$'|))) (|tptp.'tensor_ell2$'| (|tptp.'fun_app$t'| (|tptp.'cblinfun_apply$a'| |tptp.'a$'|) (|tptp.'ket$a'| |tptp.'i$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b2$'|) (|tptp.'ket$b'| |tptp.'j$'|))))) (not (= (|tptp.'tensor_ell2$'| (|tptp.'fun_app$t'| (|tptp.'cblinfun_apply$a'| |tptp.'a$'|) (|tptp.'ket$a'| |tptp.'i$'|)) (|tptp.'plus$i'| (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b1$'|) (|tptp.'ket$b'| |tptp.'j$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b2$'|) (|tptp.'ket$b'| |tptp.'j$'|)))) (|tptp.'plus$u'| (|tptp.'tensor_ell2$'| (|tptp.'fun_app$t'| (|tptp.'cblinfun_apply$a'| |tptp.'a$'|) (|tptp.'ket$a'| |tptp.'i$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b1$'|) (|tptp.'ket$b'| |tptp.'j$'|))) (|tptp.'tensor_ell2$'| (|tptp.'fun_app$t'| (|tptp.'cblinfun_apply$a'| |tptp.'a$'|) (|tptp.'ket$a'| |tptp.'i$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b2$'|) (|tptp.'ket$b'| |tptp.'j$'|)))))))) (and (= (|tptp.'tensor_ell2$'| (|tptp.'fun_app$t'| (|tptp.'cblinfun_apply$a'| |tptp.'a$'|) (|tptp.'ket$a'| |tptp.'i$'|)) (|tptp.'plus$i'| (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b1$'|) (|tptp.'ket$b'| |tptp.'j$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b2$'|) (|tptp.'ket$b'| |tptp.'j$'|)))) (|tptp.'plus$u'| (|tptp.'tensor_ell2$'| (|tptp.'fun_app$t'| (|tptp.'cblinfun_apply$a'| |tptp.'a$'|) (|tptp.'ket$a'| |tptp.'i$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b1$'|) (|tptp.'ket$b'| |tptp.'j$'|))) (|tptp.'tensor_ell2$'| (|tptp.'fun_app$t'| (|tptp.'cblinfun_apply$a'| |tptp.'a$'|) (|tptp.'ket$a'| |tptp.'i$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b2$'|) (|tptp.'ket$b'| |tptp.'j$'|))))) (not (= (|tptp.'tensor_ell2$'| (|tptp.'fun_app$t'| (|tptp.'cblinfun_apply$a'| |tptp.'a$'|) (|tptp.'ket$a'| |tptp.'i$'|)) (|tptp.'plus$i'| (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b1$'|) (|tptp.'ket$b'| |tptp.'j$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b2$'|) (|tptp.'ket$b'| |tptp.'j$'|)))) (|tptp.'plus$u'| (|tptp.'tensor_ell2$'| (|tptp.'fun_app$t'| (|tptp.'cblinfun_apply$a'| |tptp.'a$'|) (|tptp.'ket$a'| |tptp.'i$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b1$'|) (|tptp.'ket$b'| |tptp.'j$'|))) (|tptp.'tensor_ell2$'| (|tptp.'fun_app$t'| (|tptp.'cblinfun_apply$a'| |tptp.'a$'|) (|tptp.'ket$a'| |tptp.'i$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b2$'|) (|tptp.'ket$b'| |tptp.'j$'|)))))))) :rule resolution :premises (t43 t54))
% 1.10/1.28 (step t56 (cl (=> (and (not (= (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| (|tptp.'tensor_op$'| |tptp.'a$'| (|tptp.'fun_app$m'| (|tptp.'fun_app$n'| |tptp.'plus$a'| |tptp.'b1$'|) |tptp.'b2$'|))) (|tptp.'fun_app$o'| |tptp.'ket$'| (|tptp.'fun_app$p'| (|tptp.'fun_app$q'| |tptp.'pair$'| |tptp.'i$'|) |tptp.'j$'|))) (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| (|tptp.'fun_app$r'| (|tptp.'fun_app$s'| |tptp.'plus$b'| (|tptp.'tensor_op$'| |tptp.'a$'| |tptp.'b1$'|)) (|tptp.'tensor_op$'| |tptp.'a$'| |tptp.'b2$'|))) (|tptp.'fun_app$o'| |tptp.'ket$'| (|tptp.'fun_app$p'| (|tptp.'fun_app$q'| |tptp.'pair$'| |tptp.'i$'|) |tptp.'j$'|))))) (= (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| (|tptp.'tensor_op$'| |tptp.'a$'| (|tptp.'fun_app$m'| (|tptp.'fun_app$n'| |tptp.'plus$a'| |tptp.'b1$'|) |tptp.'b2$'|))) (|tptp.'fun_app$o'| |tptp.'ket$'| (|tptp.'fun_app$p'| (|tptp.'fun_app$q'| |tptp.'pair$'| |tptp.'i$'|) |tptp.'j$'|))) (|tptp.'tensor_ell2$'| (|tptp.'fun_app$t'| (|tptp.'cblinfun_apply$a'| |tptp.'a$'|) (|tptp.'ket$a'| |tptp.'i$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| (|tptp.'fun_app$m'| (|tptp.'fun_app$n'| |tptp.'plus$a'| |tptp.'b1$'|) |tptp.'b2$'|)) (|tptp.'ket$b'| |tptp.'j$'|)))) (= (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| (|tptp.'fun_app$r'| (|tptp.'fun_app$s'| |tptp.'plus$b'| (|tptp.'tensor_op$'| |tptp.'a$'| |tptp.'b1$'|)) (|tptp.'tensor_op$'| |tptp.'a$'| |tptp.'b2$'|))) (|tptp.'fun_app$o'| |tptp.'ket$'| (|tptp.'fun_app$p'| (|tptp.'fun_app$q'| |tptp.'pair$'| |tptp.'i$'|) |tptp.'j$'|))) (|tptp.'plus$u'| (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| (|tptp.'tensor_op$'| |tptp.'a$'| |tptp.'b1$'|)) (|tptp.'fun_app$o'| |tptp.'ket$'| (|tptp.'fun_app$p'| (|tptp.'fun_app$q'| |tptp.'pair$'| |tptp.'i$'|) |tptp.'j$'|))) (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| (|tptp.'tensor_op$'| |tptp.'a$'| |tptp.'b2$'|)) (|tptp.'fun_app$o'| |tptp.'ket$'| (|tptp.'fun_app$p'| (|tptp.'fun_app$q'| |tptp.'pair$'| |tptp.'i$'|) |tptp.'j$'|))))) (= (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| (|tptp.'tensor_op$'| |tptp.'a$'| |tptp.'b2$'|)) (|tptp.'fun_app$o'| |tptp.'ket$'| (|tptp.'fun_app$p'| (|tptp.'fun_app$q'| |tptp.'pair$'| |tptp.'i$'|) |tptp.'j$'|))) (|tptp.'tensor_ell2$'| (|tptp.'fun_app$t'| (|tptp.'cblinfun_apply$a'| |tptp.'a$'|) (|tptp.'ket$a'| |tptp.'i$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b2$'|) (|tptp.'ket$b'| |tptp.'j$'|)))) (= (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| (|tptp.'tensor_op$'| |tptp.'a$'| |tptp.'b1$'|)) (|tptp.'fun_app$o'| |tptp.'ket$'| (|tptp.'fun_app$p'| (|tptp.'fun_app$q'| |tptp.'pair$'| |tptp.'i$'|) |tptp.'j$'|))) (|tptp.'tensor_ell2$'| (|tptp.'fun_app$t'| (|tptp.'cblinfun_apply$a'| |tptp.'a$'|) (|tptp.'ket$a'| |tptp.'i$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b1$'|) (|tptp.'ket$b'| |tptp.'j$'|)))) (= (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| (|tptp.'fun_app$m'| (|tptp.'fun_app$n'| |tptp.'plus$a'| |tptp.'b1$'|) |tptp.'b2$'|)) (|tptp.'ket$b'| |tptp.'j$'|)) (|tptp.'plus$i'| (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b1$'|) (|tptp.'ket$b'| |tptp.'j$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b2$'|) (|tptp.'ket$b'| |tptp.'j$'|)))) (= (|tptp.'tensor_ell2$'| (|tptp.'fun_app$t'| (|tptp.'cblinfun_apply$a'| |tptp.'a$'|) (|tptp.'ket$a'| |tptp.'i$'|)) (|tptp.'plus$i'| (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b1$'|) (|tptp.'ket$b'| |tptp.'j$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b2$'|) (|tptp.'ket$b'| |tptp.'j$'|)))) (|tptp.'plus$u'| (|tptp.'tensor_ell2$'| (|tptp.'fun_app$t'| (|tptp.'cblinfun_apply$a'| |tptp.'a$'|) (|tptp.'ket$a'| |tptp.'i$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b1$'|) (|tptp.'ket$b'| |tptp.'j$'|))) (|tptp.'tensor_ell2$'| (|tptp.'fun_app$t'| (|tptp.'cblinfun_apply$a'| |tptp.'a$'|) (|tptp.'ket$a'| |tptp.'i$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b2$'|) (|tptp.'ket$b'| |tptp.'j$'|)))))) (and (= (|tptp.'tensor_ell2$'| (|tptp.'fun_app$t'| (|tptp.'cblinfun_apply$a'| |tptp.'a$'|) (|tptp.'ket$a'| |tptp.'i$'|)) (|tptp.'plus$i'| (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b1$'|) (|tptp.'ket$b'| |tptp.'j$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b2$'|) (|tptp.'ket$b'| |tptp.'j$'|)))) (|tptp.'plus$u'| (|tptp.'tensor_ell2$'| (|tptp.'fun_app$t'| (|tptp.'cblinfun_apply$a'| |tptp.'a$'|) (|tptp.'ket$a'| |tptp.'i$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b1$'|) (|tptp.'ket$b'| |tptp.'j$'|))) (|tptp.'tensor_ell2$'| (|tptp.'fun_app$t'| (|tptp.'cblinfun_apply$a'| |tptp.'a$'|) (|tptp.'ket$a'| |tptp.'i$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b2$'|) (|tptp.'ket$b'| |tptp.'j$'|))))) (not (= (|tptp.'tensor_ell2$'| (|tptp.'fun_app$t'| (|tptp.'cblinfun_apply$a'| |tptp.'a$'|) (|tptp.'ket$a'| |tptp.'i$'|)) (|tptp.'plus$i'| (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b1$'|) (|tptp.'ket$b'| |tptp.'j$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b2$'|) (|tptp.'ket$b'| |tptp.'j$'|)))) (|tptp.'plus$u'| (|tptp.'tensor_ell2$'| (|tptp.'fun_app$t'| (|tptp.'cblinfun_apply$a'| |tptp.'a$'|) (|tptp.'ket$a'| |tptp.'i$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b1$'|) (|tptp.'ket$b'| |tptp.'j$'|))) (|tptp.'tensor_ell2$'| (|tptp.'fun_app$t'| (|tptp.'cblinfun_apply$a'| |tptp.'a$'|) (|tptp.'ket$a'| |tptp.'i$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b2$'|) (|tptp.'ket$b'| |tptp.'j$'|)))))))) (not (and (= (|tptp.'tensor_ell2$'| (|tptp.'fun_app$t'| (|tptp.'cblinfun_apply$a'| |tptp.'a$'|) (|tptp.'ket$a'| |tptp.'i$'|)) (|tptp.'plus$i'| (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b1$'|) (|tptp.'ket$b'| |tptp.'j$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b2$'|) (|tptp.'ket$b'| |tptp.'j$'|)))) (|tptp.'plus$u'| (|tptp.'tensor_ell2$'| (|tptp.'fun_app$t'| (|tptp.'cblinfun_apply$a'| |tptp.'a$'|) (|tptp.'ket$a'| |tptp.'i$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b1$'|) (|tptp.'ket$b'| |tptp.'j$'|))) (|tptp.'tensor_ell2$'| (|tptp.'fun_app$t'| (|tptp.'cblinfun_apply$a'| |tptp.'a$'|) (|tptp.'ket$a'| |tptp.'i$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b2$'|) (|tptp.'ket$b'| |tptp.'j$'|))))) (not (= (|tptp.'tensor_ell2$'| (|tptp.'fun_app$t'| (|tptp.'cblinfun_apply$a'| |tptp.'a$'|) (|tptp.'ket$a'| |tptp.'i$'|)) (|tptp.'plus$i'| (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b1$'|) (|tptp.'ket$b'| |tptp.'j$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b2$'|) (|tptp.'ket$b'| |tptp.'j$'|)))) (|tptp.'plus$u'| (|tptp.'tensor_ell2$'| (|tptp.'fun_app$t'| (|tptp.'cblinfun_apply$a'| |tptp.'a$'|) (|tptp.'ket$a'| |tptp.'i$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b1$'|) (|tptp.'ket$b'| |tptp.'j$'|))) (|tptp.'tensor_ell2$'| (|tptp.'fun_app$t'| (|tptp.'cblinfun_apply$a'| |tptp.'a$'|) (|tptp.'ket$a'| |tptp.'i$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b2$'|) (|tptp.'ket$b'| |tptp.'j$'|))))))))) :rule implies_neg2)
% 1.10/1.28 (step t57 (cl (=> (and (not (= (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| (|tptp.'tensor_op$'| |tptp.'a$'| (|tptp.'fun_app$m'| (|tptp.'fun_app$n'| |tptp.'plus$a'| |tptp.'b1$'|) |tptp.'b2$'|))) (|tptp.'fun_app$o'| |tptp.'ket$'| (|tptp.'fun_app$p'| (|tptp.'fun_app$q'| |tptp.'pair$'| |tptp.'i$'|) |tptp.'j$'|))) (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| (|tptp.'fun_app$r'| (|tptp.'fun_app$s'| |tptp.'plus$b'| (|tptp.'tensor_op$'| |tptp.'a$'| |tptp.'b1$'|)) (|tptp.'tensor_op$'| |tptp.'a$'| |tptp.'b2$'|))) (|tptp.'fun_app$o'| |tptp.'ket$'| (|tptp.'fun_app$p'| (|tptp.'fun_app$q'| |tptp.'pair$'| |tptp.'i$'|) |tptp.'j$'|))))) (= (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| (|tptp.'tensor_op$'| |tptp.'a$'| (|tptp.'fun_app$m'| (|tptp.'fun_app$n'| |tptp.'plus$a'| |tptp.'b1$'|) |tptp.'b2$'|))) (|tptp.'fun_app$o'| |tptp.'ket$'| (|tptp.'fun_app$p'| (|tptp.'fun_app$q'| |tptp.'pair$'| |tptp.'i$'|) |tptp.'j$'|))) (|tptp.'tensor_ell2$'| (|tptp.'fun_app$t'| (|tptp.'cblinfun_apply$a'| |tptp.'a$'|) (|tptp.'ket$a'| |tptp.'i$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| (|tptp.'fun_app$m'| (|tptp.'fun_app$n'| |tptp.'plus$a'| |tptp.'b1$'|) |tptp.'b2$'|)) (|tptp.'ket$b'| |tptp.'j$'|)))) (= (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| (|tptp.'fun_app$r'| (|tptp.'fun_app$s'| |tptp.'plus$b'| (|tptp.'tensor_op$'| |tptp.'a$'| |tptp.'b1$'|)) (|tptp.'tensor_op$'| |tptp.'a$'| |tptp.'b2$'|))) (|tptp.'fun_app$o'| |tptp.'ket$'| (|tptp.'fun_app$p'| (|tptp.'fun_app$q'| |tptp.'pair$'| |tptp.'i$'|) |tptp.'j$'|))) (|tptp.'plus$u'| (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| (|tptp.'tensor_op$'| |tptp.'a$'| |tptp.'b1$'|)) (|tptp.'fun_app$o'| |tptp.'ket$'| (|tptp.'fun_app$p'| (|tptp.'fun_app$q'| |tptp.'pair$'| |tptp.'i$'|) |tptp.'j$'|))) (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| (|tptp.'tensor_op$'| |tptp.'a$'| |tptp.'b2$'|)) (|tptp.'fun_app$o'| |tptp.'ket$'| (|tptp.'fun_app$p'| (|tptp.'fun_app$q'| |tptp.'pair$'| |tptp.'i$'|) |tptp.'j$'|))))) (= (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| (|tptp.'tensor_op$'| |tptp.'a$'| |tptp.'b2$'|)) (|tptp.'fun_app$o'| |tptp.'ket$'| (|tptp.'fun_app$p'| (|tptp.'fun_app$q'| |tptp.'pair$'| |tptp.'i$'|) |tptp.'j$'|))) (|tptp.'tensor_ell2$'| (|tptp.'fun_app$t'| (|tptp.'cblinfun_apply$a'| |tptp.'a$'|) (|tptp.'ket$a'| |tptp.'i$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b2$'|) (|tptp.'ket$b'| |tptp.'j$'|)))) (= (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| (|tptp.'tensor_op$'| |tptp.'a$'| |tptp.'b1$'|)) (|tptp.'fun_app$o'| |tptp.'ket$'| (|tptp.'fun_app$p'| (|tptp.'fun_app$q'| |tptp.'pair$'| |tptp.'i$'|) |tptp.'j$'|))) (|tptp.'tensor_ell2$'| (|tptp.'fun_app$t'| (|tptp.'cblinfun_apply$a'| |tptp.'a$'|) (|tptp.'ket$a'| |tptp.'i$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b1$'|) (|tptp.'ket$b'| |tptp.'j$'|)))) (= (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| (|tptp.'fun_app$m'| (|tptp.'fun_app$n'| |tptp.'plus$a'| |tptp.'b1$'|) |tptp.'b2$'|)) (|tptp.'ket$b'| |tptp.'j$'|)) (|tptp.'plus$i'| (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b1$'|) (|tptp.'ket$b'| |tptp.'j$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b2$'|) (|tptp.'ket$b'| |tptp.'j$'|)))) (= (|tptp.'tensor_ell2$'| (|tptp.'fun_app$t'| (|tptp.'cblinfun_apply$a'| |tptp.'a$'|) (|tptp.'ket$a'| |tptp.'i$'|)) (|tptp.'plus$i'| (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b1$'|) (|tptp.'ket$b'| |tptp.'j$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b2$'|) (|tptp.'ket$b'| |tptp.'j$'|)))) (|tptp.'plus$u'| (|tptp.'tensor_ell2$'| (|tptp.'fun_app$t'| (|tptp.'cblinfun_apply$a'| |tptp.'a$'|) (|tptp.'ket$a'| |tptp.'i$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b1$'|) (|tptp.'ket$b'| |tptp.'j$'|))) (|tptp.'tensor_ell2$'| (|tptp.'fun_app$t'| (|tptp.'cblinfun_apply$a'| |tptp.'a$'|) (|tptp.'ket$a'| |tptp.'i$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b2$'|) (|tptp.'ket$b'| |tptp.'j$'|)))))) (and (= (|tptp.'tensor_ell2$'| (|tptp.'fun_app$t'| (|tptp.'cblinfun_apply$a'| |tptp.'a$'|) (|tptp.'ket$a'| |tptp.'i$'|)) (|tptp.'plus$i'| (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b1$'|) (|tptp.'ket$b'| |tptp.'j$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b2$'|) (|tptp.'ket$b'| |tptp.'j$'|)))) (|tptp.'plus$u'| (|tptp.'tensor_ell2$'| (|tptp.'fun_app$t'| (|tptp.'cblinfun_apply$a'| |tptp.'a$'|) (|tptp.'ket$a'| |tptp.'i$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b1$'|) (|tptp.'ket$b'| |tptp.'j$'|))) (|tptp.'tensor_ell2$'| (|tptp.'fun_app$t'| (|tptp.'cblinfun_apply$a'| |tptp.'a$'|) (|tptp.'ket$a'| |tptp.'i$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b2$'|) (|tptp.'ket$b'| |tptp.'j$'|))))) (not (= (|tptp.'tensor_ell2$'| (|tptp.'fun_app$t'| (|tptp.'cblinfun_apply$a'| |tptp.'a$'|) (|tptp.'ket$a'| |tptp.'i$'|)) (|tptp.'plus$i'| (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b1$'|) (|tptp.'ket$b'| |tptp.'j$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b2$'|) (|tptp.'ket$b'| |tptp.'j$'|)))) (|tptp.'plus$u'| (|tptp.'tensor_ell2$'| (|tptp.'fun_app$t'| (|tptp.'cblinfun_apply$a'| |tptp.'a$'|) (|tptp.'ket$a'| |tptp.'i$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b1$'|) (|tptp.'ket$b'| |tptp.'j$'|))) (|tptp.'tensor_ell2$'| (|tptp.'fun_app$t'| (|tptp.'cblinfun_apply$a'| |tptp.'a$'|) (|tptp.'ket$a'| |tptp.'i$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b2$'|) (|tptp.'ket$b'| |tptp.'j$'|)))))))) (=> (and (not (= (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| (|tptp.'tensor_op$'| |tptp.'a$'| (|tptp.'fun_app$m'| (|tptp.'fun_app$n'| |tptp.'plus$a'| |tptp.'b1$'|) |tptp.'b2$'|))) (|tptp.'fun_app$o'| |tptp.'ket$'| (|tptp.'fun_app$p'| (|tptp.'fun_app$q'| |tptp.'pair$'| |tptp.'i$'|) |tptp.'j$'|))) (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| (|tptp.'fun_app$r'| (|tptp.'fun_app$s'| |tptp.'plus$b'| (|tptp.'tensor_op$'| |tptp.'a$'| |tptp.'b1$'|)) (|tptp.'tensor_op$'| |tptp.'a$'| |tptp.'b2$'|))) (|tptp.'fun_app$o'| |tptp.'ket$'| (|tptp.'fun_app$p'| (|tptp.'fun_app$q'| |tptp.'pair$'| |tptp.'i$'|) |tptp.'j$'|))))) (= (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| (|tptp.'tensor_op$'| |tptp.'a$'| (|tptp.'fun_app$m'| (|tptp.'fun_app$n'| |tptp.'plus$a'| |tptp.'b1$'|) |tptp.'b2$'|))) (|tptp.'fun_app$o'| |tptp.'ket$'| (|tptp.'fun_app$p'| (|tptp.'fun_app$q'| |tptp.'pair$'| |tptp.'i$'|) |tptp.'j$'|))) (|tptp.'tensor_ell2$'| (|tptp.'fun_app$t'| (|tptp.'cblinfun_apply$a'| |tptp.'a$'|) (|tptp.'ket$a'| |tptp.'i$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| (|tptp.'fun_app$m'| (|tptp.'fun_app$n'| |tptp.'plus$a'| |tptp.'b1$'|) |tptp.'b2$'|)) (|tptp.'ket$b'| |tptp.'j$'|)))) (= (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| (|tptp.'fun_app$r'| (|tptp.'fun_app$s'| |tptp.'plus$b'| (|tptp.'tensor_op$'| |tptp.'a$'| |tptp.'b1$'|)) (|tptp.'tensor_op$'| |tptp.'a$'| |tptp.'b2$'|))) (|tptp.'fun_app$o'| |tptp.'ket$'| (|tptp.'fun_app$p'| (|tptp.'fun_app$q'| |tptp.'pair$'| |tptp.'i$'|) |tptp.'j$'|))) (|tptp.'plus$u'| (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| (|tptp.'tensor_op$'| |tptp.'a$'| |tptp.'b1$'|)) (|tptp.'fun_app$o'| |tptp.'ket$'| (|tptp.'fun_app$p'| (|tptp.'fun_app$q'| |tptp.'pair$'| |tptp.'i$'|) |tptp.'j$'|))) (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| (|tptp.'tensor_op$'| |tptp.'a$'| |tptp.'b2$'|)) (|tptp.'fun_app$o'| |tptp.'ket$'| (|tptp.'fun_app$p'| (|tptp.'fun_app$q'| |tptp.'pair$'| |tptp.'i$'|) |tptp.'j$'|))))) (= (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| (|tptp.'tensor_op$'| |tptp.'a$'| |tptp.'b2$'|)) (|tptp.'fun_app$o'| |tptp.'ket$'| (|tptp.'fun_app$p'| (|tptp.'fun_app$q'| |tptp.'pair$'| |tptp.'i$'|) |tptp.'j$'|))) (|tptp.'tensor_ell2$'| (|tptp.'fun_app$t'| (|tptp.'cblinfun_apply$a'| |tptp.'a$'|) (|tptp.'ket$a'| |tptp.'i$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b2$'|) (|tptp.'ket$b'| |tptp.'j$'|)))) (= (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| (|tptp.'tensor_op$'| |tptp.'a$'| |tptp.'b1$'|)) (|tptp.'fun_app$o'| |tptp.'ket$'| (|tptp.'fun_app$p'| (|tptp.'fun_app$q'| |tptp.'pair$'| |tptp.'i$'|) |tptp.'j$'|))) (|tptp.'tensor_ell2$'| (|tptp.'fun_app$t'| (|tptp.'cblinfun_apply$a'| |tptp.'a$'|) (|tptp.'ket$a'| |tptp.'i$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b1$'|) (|tptp.'ket$b'| |tptp.'j$'|)))) (= (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| (|tptp.'fun_app$m'| (|tptp.'fun_app$n'| |tptp.'plus$a'| |tptp.'b1$'|) |tptp.'b2$'|)) (|tptp.'ket$b'| |tptp.'j$'|)) (|tptp.'plus$i'| (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b1$'|) (|tptp.'ket$b'| |tptp.'j$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b2$'|) (|tptp.'ket$b'| |tptp.'j$'|)))) (= (|tptp.'tensor_ell2$'| (|tptp.'fun_app$t'| (|tptp.'cblinfun_apply$a'| |tptp.'a$'|) (|tptp.'ket$a'| |tptp.'i$'|)) (|tptp.'plus$i'| (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b1$'|) (|tptp.'ket$b'| |tptp.'j$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b2$'|) (|tptp.'ket$b'| |tptp.'j$'|)))) (|tptp.'plus$u'| (|tptp.'tensor_ell2$'| (|tptp.'fun_app$t'| (|tptp.'cblinfun_apply$a'| |tptp.'a$'|) (|tptp.'ket$a'| |tptp.'i$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b1$'|) (|tptp.'ket$b'| |tptp.'j$'|))) (|tptp.'tensor_ell2$'| (|tptp.'fun_app$t'| (|tptp.'cblinfun_apply$a'| |tptp.'a$'|) (|tptp.'ket$a'| |tptp.'i$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b2$'|) (|tptp.'ket$b'| |tptp.'j$'|)))))) (and (= (|tptp.'tensor_ell2$'| (|tptp.'fun_app$t'| (|tptp.'cblinfun_apply$a'| |tptp.'a$'|) (|tptp.'ket$a'| |tptp.'i$'|)) (|tptp.'plus$i'| (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b1$'|) (|tptp.'ket$b'| |tptp.'j$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b2$'|) (|tptp.'ket$b'| |tptp.'j$'|)))) (|tptp.'plus$u'| (|tptp.'tensor_ell2$'| (|tptp.'fun_app$t'| (|tptp.'cblinfun_apply$a'| |tptp.'a$'|) (|tptp.'ket$a'| |tptp.'i$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b1$'|) (|tptp.'ket$b'| |tptp.'j$'|))) (|tptp.'tensor_ell2$'| (|tptp.'fun_app$t'| (|tptp.'cblinfun_apply$a'| |tptp.'a$'|) (|tptp.'ket$a'| |tptp.'i$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b2$'|) (|tptp.'ket$b'| |tptp.'j$'|))))) (not (= (|tptp.'tensor_ell2$'| (|tptp.'fun_app$t'| (|tptp.'cblinfun_apply$a'| |tptp.'a$'|) (|tptp.'ket$a'| |tptp.'i$'|)) (|tptp.'plus$i'| (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b1$'|) (|tptp.'ket$b'| |tptp.'j$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b2$'|) (|tptp.'ket$b'| |tptp.'j$'|)))) (|tptp.'plus$u'| (|tptp.'tensor_ell2$'| (|tptp.'fun_app$t'| (|tptp.'cblinfun_apply$a'| |tptp.'a$'|) (|tptp.'ket$a'| |tptp.'i$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b1$'|) (|tptp.'ket$b'| |tptp.'j$'|))) (|tptp.'tensor_ell2$'| (|tptp.'fun_app$t'| (|tptp.'cblinfun_apply$a'| |tptp.'a$'|) (|tptp.'ket$a'| |tptp.'i$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b2$'|) (|tptp.'ket$b'| |tptp.'j$'|))))))))) :rule resolution :premises (t55 t56))
% 1.10/1.28 (step t58 (cl (=> (and (not (= (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| (|tptp.'tensor_op$'| |tptp.'a$'| (|tptp.'fun_app$m'| (|tptp.'fun_app$n'| |tptp.'plus$a'| |tptp.'b1$'|) |tptp.'b2$'|))) (|tptp.'fun_app$o'| |tptp.'ket$'| (|tptp.'fun_app$p'| (|tptp.'fun_app$q'| |tptp.'pair$'| |tptp.'i$'|) |tptp.'j$'|))) (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| (|tptp.'fun_app$r'| (|tptp.'fun_app$s'| |tptp.'plus$b'| (|tptp.'tensor_op$'| |tptp.'a$'| |tptp.'b1$'|)) (|tptp.'tensor_op$'| |tptp.'a$'| |tptp.'b2$'|))) (|tptp.'fun_app$o'| |tptp.'ket$'| (|tptp.'fun_app$p'| (|tptp.'fun_app$q'| |tptp.'pair$'| |tptp.'i$'|) |tptp.'j$'|))))) (= (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| (|tptp.'tensor_op$'| |tptp.'a$'| (|tptp.'fun_app$m'| (|tptp.'fun_app$n'| |tptp.'plus$a'| |tptp.'b1$'|) |tptp.'b2$'|))) (|tptp.'fun_app$o'| |tptp.'ket$'| (|tptp.'fun_app$p'| (|tptp.'fun_app$q'| |tptp.'pair$'| |tptp.'i$'|) |tptp.'j$'|))) (|tptp.'tensor_ell2$'| (|tptp.'fun_app$t'| (|tptp.'cblinfun_apply$a'| |tptp.'a$'|) (|tptp.'ket$a'| |tptp.'i$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| (|tptp.'fun_app$m'| (|tptp.'fun_app$n'| |tptp.'plus$a'| |tptp.'b1$'|) |tptp.'b2$'|)) (|tptp.'ket$b'| |tptp.'j$'|)))) (= (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| (|tptp.'fun_app$r'| (|tptp.'fun_app$s'| |tptp.'plus$b'| (|tptp.'tensor_op$'| |tptp.'a$'| |tptp.'b1$'|)) (|tptp.'tensor_op$'| |tptp.'a$'| |tptp.'b2$'|))) (|tptp.'fun_app$o'| |tptp.'ket$'| (|tptp.'fun_app$p'| (|tptp.'fun_app$q'| |tptp.'pair$'| |tptp.'i$'|) |tptp.'j$'|))) (|tptp.'plus$u'| (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| (|tptp.'tensor_op$'| |tptp.'a$'| |tptp.'b1$'|)) (|tptp.'fun_app$o'| |tptp.'ket$'| (|tptp.'fun_app$p'| (|tptp.'fun_app$q'| |tptp.'pair$'| |tptp.'i$'|) |tptp.'j$'|))) (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| (|tptp.'tensor_op$'| |tptp.'a$'| |tptp.'b2$'|)) (|tptp.'fun_app$o'| |tptp.'ket$'| (|tptp.'fun_app$p'| (|tptp.'fun_app$q'| |tptp.'pair$'| |tptp.'i$'|) |tptp.'j$'|))))) (= (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| (|tptp.'tensor_op$'| |tptp.'a$'| |tptp.'b2$'|)) (|tptp.'fun_app$o'| |tptp.'ket$'| (|tptp.'fun_app$p'| (|tptp.'fun_app$q'| |tptp.'pair$'| |tptp.'i$'|) |tptp.'j$'|))) (|tptp.'tensor_ell2$'| (|tptp.'fun_app$t'| (|tptp.'cblinfun_apply$a'| |tptp.'a$'|) (|tptp.'ket$a'| |tptp.'i$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b2$'|) (|tptp.'ket$b'| |tptp.'j$'|)))) (= (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| (|tptp.'tensor_op$'| |tptp.'a$'| |tptp.'b1$'|)) (|tptp.'fun_app$o'| |tptp.'ket$'| (|tptp.'fun_app$p'| (|tptp.'fun_app$q'| |tptp.'pair$'| |tptp.'i$'|) |tptp.'j$'|))) (|tptp.'tensor_ell2$'| (|tptp.'fun_app$t'| (|tptp.'cblinfun_apply$a'| |tptp.'a$'|) (|tptp.'ket$a'| |tptp.'i$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b1$'|) (|tptp.'ket$b'| |tptp.'j$'|)))) (= (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| (|tptp.'fun_app$m'| (|tptp.'fun_app$n'| |tptp.'plus$a'| |tptp.'b1$'|) |tptp.'b2$'|)) (|tptp.'ket$b'| |tptp.'j$'|)) (|tptp.'plus$i'| (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b1$'|) (|tptp.'ket$b'| |tptp.'j$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b2$'|) (|tptp.'ket$b'| |tptp.'j$'|)))) (= (|tptp.'tensor_ell2$'| (|tptp.'fun_app$t'| (|tptp.'cblinfun_apply$a'| |tptp.'a$'|) (|tptp.'ket$a'| |tptp.'i$'|)) (|tptp.'plus$i'| (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b1$'|) (|tptp.'ket$b'| |tptp.'j$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b2$'|) (|tptp.'ket$b'| |tptp.'j$'|)))) (|tptp.'plus$u'| (|tptp.'tensor_ell2$'| (|tptp.'fun_app$t'| (|tptp.'cblinfun_apply$a'| |tptp.'a$'|) (|tptp.'ket$a'| |tptp.'i$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b1$'|) (|tptp.'ket$b'| |tptp.'j$'|))) (|tptp.'tensor_ell2$'| (|tptp.'fun_app$t'| (|tptp.'cblinfun_apply$a'| |tptp.'a$'|) (|tptp.'ket$a'| |tptp.'i$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b2$'|) (|tptp.'ket$b'| |tptp.'j$'|)))))) (and (= (|tptp.'tensor_ell2$'| (|tptp.'fun_app$t'| (|tptp.'cblinfun_apply$a'| |tptp.'a$'|) (|tptp.'ket$a'| |tptp.'i$'|)) (|tptp.'plus$i'| (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b1$'|) (|tptp.'ket$b'| |tptp.'j$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b2$'|) (|tptp.'ket$b'| |tptp.'j$'|)))) (|tptp.'plus$u'| (|tptp.'tensor_ell2$'| (|tptp.'fun_app$t'| (|tptp.'cblinfun_apply$a'| |tptp.'a$'|) (|tptp.'ket$a'| |tptp.'i$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b1$'|) (|tptp.'ket$b'| |tptp.'j$'|))) (|tptp.'tensor_ell2$'| (|tptp.'fun_app$t'| (|tptp.'cblinfun_apply$a'| |tptp.'a$'|) (|tptp.'ket$a'| |tptp.'i$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b2$'|) (|tptp.'ket$b'| |tptp.'j$'|))))) (not (= (|tptp.'tensor_ell2$'| (|tptp.'fun_app$t'| (|tptp.'cblinfun_apply$a'| |tptp.'a$'|) (|tptp.'ket$a'| |tptp.'i$'|)) (|tptp.'plus$i'| (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b1$'|) (|tptp.'ket$b'| |tptp.'j$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b2$'|) (|tptp.'ket$b'| |tptp.'j$'|)))) (|tptp.'plus$u'| (|tptp.'tensor_ell2$'| (|tptp.'fun_app$t'| (|tptp.'cblinfun_apply$a'| |tptp.'a$'|) (|tptp.'ket$a'| |tptp.'i$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b1$'|) (|tptp.'ket$b'| |tptp.'j$'|))) (|tptp.'tensor_ell2$'| (|tptp.'fun_app$t'| (|tptp.'cblinfun_apply$a'| |tptp.'a$'|) (|tptp.'ket$a'| |tptp.'i$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b2$'|) (|tptp.'ket$b'| |tptp.'j$'|))))))))) :rule contraction :premises (t57))
% 1.10/1.28 (step t59 (cl (not (and (not (= (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| (|tptp.'tensor_op$'| |tptp.'a$'| (|tptp.'fun_app$m'| (|tptp.'fun_app$n'| |tptp.'plus$a'| |tptp.'b1$'|) |tptp.'b2$'|))) (|tptp.'fun_app$o'| |tptp.'ket$'| (|tptp.'fun_app$p'| (|tptp.'fun_app$q'| |tptp.'pair$'| |tptp.'i$'|) |tptp.'j$'|))) (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| (|tptp.'fun_app$r'| (|tptp.'fun_app$s'| |tptp.'plus$b'| (|tptp.'tensor_op$'| |tptp.'a$'| |tptp.'b1$'|)) (|tptp.'tensor_op$'| |tptp.'a$'| |tptp.'b2$'|))) (|tptp.'fun_app$o'| |tptp.'ket$'| (|tptp.'fun_app$p'| (|tptp.'fun_app$q'| |tptp.'pair$'| |tptp.'i$'|) |tptp.'j$'|))))) (= (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| (|tptp.'tensor_op$'| |tptp.'a$'| (|tptp.'fun_app$m'| (|tptp.'fun_app$n'| |tptp.'plus$a'| |tptp.'b1$'|) |tptp.'b2$'|))) (|tptp.'fun_app$o'| |tptp.'ket$'| (|tptp.'fun_app$p'| (|tptp.'fun_app$q'| |tptp.'pair$'| |tptp.'i$'|) |tptp.'j$'|))) (|tptp.'tensor_ell2$'| (|tptp.'fun_app$t'| (|tptp.'cblinfun_apply$a'| |tptp.'a$'|) (|tptp.'ket$a'| |tptp.'i$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| (|tptp.'fun_app$m'| (|tptp.'fun_app$n'| |tptp.'plus$a'| |tptp.'b1$'|) |tptp.'b2$'|)) (|tptp.'ket$b'| |tptp.'j$'|)))) (= (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| (|tptp.'fun_app$r'| (|tptp.'fun_app$s'| |tptp.'plus$b'| (|tptp.'tensor_op$'| |tptp.'a$'| |tptp.'b1$'|)) (|tptp.'tensor_op$'| |tptp.'a$'| |tptp.'b2$'|))) (|tptp.'fun_app$o'| |tptp.'ket$'| (|tptp.'fun_app$p'| (|tptp.'fun_app$q'| |tptp.'pair$'| |tptp.'i$'|) |tptp.'j$'|))) (|tptp.'plus$u'| (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| (|tptp.'tensor_op$'| |tptp.'a$'| |tptp.'b1$'|)) (|tptp.'fun_app$o'| |tptp.'ket$'| (|tptp.'fun_app$p'| (|tptp.'fun_app$q'| |tptp.'pair$'| |tptp.'i$'|) |tptp.'j$'|))) (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| (|tptp.'tensor_op$'| |tptp.'a$'| |tptp.'b2$'|)) (|tptp.'fun_app$o'| |tptp.'ket$'| (|tptp.'fun_app$p'| (|tptp.'fun_app$q'| |tptp.'pair$'| |tptp.'i$'|) |tptp.'j$'|))))) (= (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| (|tptp.'tensor_op$'| |tptp.'a$'| |tptp.'b2$'|)) (|tptp.'fun_app$o'| |tptp.'ket$'| (|tptp.'fun_app$p'| (|tptp.'fun_app$q'| |tptp.'pair$'| |tptp.'i$'|) |tptp.'j$'|))) (|tptp.'tensor_ell2$'| (|tptp.'fun_app$t'| (|tptp.'cblinfun_apply$a'| |tptp.'a$'|) (|tptp.'ket$a'| |tptp.'i$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b2$'|) (|tptp.'ket$b'| |tptp.'j$'|)))) (= (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| (|tptp.'tensor_op$'| |tptp.'a$'| |tptp.'b1$'|)) (|tptp.'fun_app$o'| |tptp.'ket$'| (|tptp.'fun_app$p'| (|tptp.'fun_app$q'| |tptp.'pair$'| |tptp.'i$'|) |tptp.'j$'|))) (|tptp.'tensor_ell2$'| (|tptp.'fun_app$t'| (|tptp.'cblinfun_apply$a'| |tptp.'a$'|) (|tptp.'ket$a'| |tptp.'i$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b1$'|) (|tptp.'ket$b'| |tptp.'j$'|)))) (= (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| (|tptp.'fun_app$m'| (|tptp.'fun_app$n'| |tptp.'plus$a'| |tptp.'b1$'|) |tptp.'b2$'|)) (|tptp.'ket$b'| |tptp.'j$'|)) (|tptp.'plus$i'| (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b1$'|) (|tptp.'ket$b'| |tptp.'j$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b2$'|) (|tptp.'ket$b'| |tptp.'j$'|)))) (= (|tptp.'tensor_ell2$'| (|tptp.'fun_app$t'| (|tptp.'cblinfun_apply$a'| |tptp.'a$'|) (|tptp.'ket$a'| |tptp.'i$'|)) (|tptp.'plus$i'| (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b1$'|) (|tptp.'ket$b'| |tptp.'j$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b2$'|) (|tptp.'ket$b'| |tptp.'j$'|)))) (|tptp.'plus$u'| (|tptp.'tensor_ell2$'| (|tptp.'fun_app$t'| (|tptp.'cblinfun_apply$a'| |tptp.'a$'|) (|tptp.'ket$a'| |tptp.'i$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b1$'|) (|tptp.'ket$b'| |tptp.'j$'|))) (|tptp.'tensor_ell2$'| (|tptp.'fun_app$t'| (|tptp.'cblinfun_apply$a'| |tptp.'a$'|) (|tptp.'ket$a'| |tptp.'i$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b2$'|) (|tptp.'ket$b'| |tptp.'j$'|)))))))) :rule resolution :premises (t19 t42 t58))
% 1.10/1.28 (step t60 (cl (not (not (= (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| (|tptp.'tensor_op$'| |tptp.'a$'| (|tptp.'fun_app$m'| (|tptp.'fun_app$n'| |tptp.'plus$a'| |tptp.'b1$'|) |tptp.'b2$'|))) (|tptp.'fun_app$o'| |tptp.'ket$'| (|tptp.'fun_app$p'| (|tptp.'fun_app$q'| |tptp.'pair$'| |tptp.'i$'|) |tptp.'j$'|))) (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| (|tptp.'fun_app$r'| (|tptp.'fun_app$s'| |tptp.'plus$b'| (|tptp.'tensor_op$'| |tptp.'a$'| |tptp.'b1$'|)) (|tptp.'tensor_op$'| |tptp.'a$'| |tptp.'b2$'|))) (|tptp.'fun_app$o'| |tptp.'ket$'| (|tptp.'fun_app$p'| (|tptp.'fun_app$q'| |tptp.'pair$'| |tptp.'i$'|) |tptp.'j$'|)))))) (not (= (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| (|tptp.'tensor_op$'| |tptp.'a$'| (|tptp.'fun_app$m'| (|tptp.'fun_app$n'| |tptp.'plus$a'| |tptp.'b1$'|) |tptp.'b2$'|))) (|tptp.'fun_app$o'| |tptp.'ket$'| (|tptp.'fun_app$p'| (|tptp.'fun_app$q'| |tptp.'pair$'| |tptp.'i$'|) |tptp.'j$'|))) (|tptp.'tensor_ell2$'| (|tptp.'fun_app$t'| (|tptp.'cblinfun_apply$a'| |tptp.'a$'|) (|tptp.'ket$a'| |tptp.'i$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| (|tptp.'fun_app$m'| (|tptp.'fun_app$n'| |tptp.'plus$a'| |tptp.'b1$'|) |tptp.'b2$'|)) (|tptp.'ket$b'| |tptp.'j$'|))))) (not (= (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| (|tptp.'fun_app$r'| (|tptp.'fun_app$s'| |tptp.'plus$b'| (|tptp.'tensor_op$'| |tptp.'a$'| |tptp.'b1$'|)) (|tptp.'tensor_op$'| |tptp.'a$'| |tptp.'b2$'|))) (|tptp.'fun_app$o'| |tptp.'ket$'| (|tptp.'fun_app$p'| (|tptp.'fun_app$q'| |tptp.'pair$'| |tptp.'i$'|) |tptp.'j$'|))) (|tptp.'plus$u'| (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| (|tptp.'tensor_op$'| |tptp.'a$'| |tptp.'b1$'|)) (|tptp.'fun_app$o'| |tptp.'ket$'| (|tptp.'fun_app$p'| (|tptp.'fun_app$q'| |tptp.'pair$'| |tptp.'i$'|) |tptp.'j$'|))) (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| (|tptp.'tensor_op$'| |tptp.'a$'| |tptp.'b2$'|)) (|tptp.'fun_app$o'| |tptp.'ket$'| (|tptp.'fun_app$p'| (|tptp.'fun_app$q'| |tptp.'pair$'| |tptp.'i$'|) |tptp.'j$'|)))))) (not (= (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| (|tptp.'tensor_op$'| |tptp.'a$'| |tptp.'b2$'|)) (|tptp.'fun_app$o'| |tptp.'ket$'| (|tptp.'fun_app$p'| (|tptp.'fun_app$q'| |tptp.'pair$'| |tptp.'i$'|) |tptp.'j$'|))) (|tptp.'tensor_ell2$'| (|tptp.'fun_app$t'| (|tptp.'cblinfun_apply$a'| |tptp.'a$'|) (|tptp.'ket$a'| |tptp.'i$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b2$'|) (|tptp.'ket$b'| |tptp.'j$'|))))) (not (= (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| (|tptp.'tensor_op$'| |tptp.'a$'| |tptp.'b1$'|)) (|tptp.'fun_app$o'| |tptp.'ket$'| (|tptp.'fun_app$p'| (|tptp.'fun_app$q'| |tptp.'pair$'| |tptp.'i$'|) |tptp.'j$'|))) (|tptp.'tensor_ell2$'| (|tptp.'fun_app$t'| (|tptp.'cblinfun_apply$a'| |tptp.'a$'|) (|tptp.'ket$a'| |tptp.'i$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b1$'|) (|tptp.'ket$b'| |tptp.'j$'|))))) (not (= (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| (|tptp.'fun_app$m'| (|tptp.'fun_app$n'| |tptp.'plus$a'| |tptp.'b1$'|) |tptp.'b2$'|)) (|tptp.'ket$b'| |tptp.'j$'|)) (|tptp.'plus$i'| (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b1$'|) (|tptp.'ket$b'| |tptp.'j$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b2$'|) (|tptp.'ket$b'| |tptp.'j$'|))))) (not (= (|tptp.'tensor_ell2$'| (|tptp.'fun_app$t'| (|tptp.'cblinfun_apply$a'| |tptp.'a$'|) (|tptp.'ket$a'| |tptp.'i$'|)) (|tptp.'plus$i'| (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b1$'|) (|tptp.'ket$b'| |tptp.'j$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b2$'|) (|tptp.'ket$b'| |tptp.'j$'|)))) (|tptp.'plus$u'| (|tptp.'tensor_ell2$'| (|tptp.'fun_app$t'| (|tptp.'cblinfun_apply$a'| |tptp.'a$'|) (|tptp.'ket$a'| |tptp.'i$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b1$'|) (|tptp.'ket$b'| |tptp.'j$'|))) (|tptp.'tensor_ell2$'| (|tptp.'fun_app$t'| (|tptp.'cblinfun_apply$a'| |tptp.'a$'|) (|tptp.'ket$a'| |tptp.'i$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b2$'|) (|tptp.'ket$b'| |tptp.'j$'|))))))) :rule not_and :premises (t59))
% 1.10/1.28 (step t61 (cl (or (not (not (= (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| (|tptp.'tensor_op$'| |tptp.'a$'| (|tptp.'fun_app$m'| (|tptp.'fun_app$n'| |tptp.'plus$a'| |tptp.'b1$'|) |tptp.'b2$'|))) (|tptp.'fun_app$o'| |tptp.'ket$'| (|tptp.'fun_app$p'| (|tptp.'fun_app$q'| |tptp.'pair$'| |tptp.'i$'|) |tptp.'j$'|))) (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| (|tptp.'fun_app$r'| (|tptp.'fun_app$s'| |tptp.'plus$b'| (|tptp.'tensor_op$'| |tptp.'a$'| |tptp.'b1$'|)) (|tptp.'tensor_op$'| |tptp.'a$'| |tptp.'b2$'|))) (|tptp.'fun_app$o'| |tptp.'ket$'| (|tptp.'fun_app$p'| (|tptp.'fun_app$q'| |tptp.'pair$'| |tptp.'i$'|) |tptp.'j$'|)))))) (not (= (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| (|tptp.'tensor_op$'| |tptp.'a$'| (|tptp.'fun_app$m'| (|tptp.'fun_app$n'| |tptp.'plus$a'| |tptp.'b1$'|) |tptp.'b2$'|))) (|tptp.'fun_app$o'| |tptp.'ket$'| (|tptp.'fun_app$p'| (|tptp.'fun_app$q'| |tptp.'pair$'| |tptp.'i$'|) |tptp.'j$'|))) (|tptp.'tensor_ell2$'| (|tptp.'fun_app$t'| (|tptp.'cblinfun_apply$a'| |tptp.'a$'|) (|tptp.'ket$a'| |tptp.'i$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| (|tptp.'fun_app$m'| (|tptp.'fun_app$n'| |tptp.'plus$a'| |tptp.'b1$'|) |tptp.'b2$'|)) (|tptp.'ket$b'| |tptp.'j$'|))))) (not (= (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| (|tptp.'fun_app$r'| (|tptp.'fun_app$s'| |tptp.'plus$b'| (|tptp.'tensor_op$'| |tptp.'a$'| |tptp.'b1$'|)) (|tptp.'tensor_op$'| |tptp.'a$'| |tptp.'b2$'|))) (|tptp.'fun_app$o'| |tptp.'ket$'| (|tptp.'fun_app$p'| (|tptp.'fun_app$q'| |tptp.'pair$'| |tptp.'i$'|) |tptp.'j$'|))) (|tptp.'plus$u'| (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| (|tptp.'tensor_op$'| |tptp.'a$'| |tptp.'b1$'|)) (|tptp.'fun_app$o'| |tptp.'ket$'| (|tptp.'fun_app$p'| (|tptp.'fun_app$q'| |tptp.'pair$'| |tptp.'i$'|) |tptp.'j$'|))) (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| (|tptp.'tensor_op$'| |tptp.'a$'| |tptp.'b2$'|)) (|tptp.'fun_app$o'| |tptp.'ket$'| (|tptp.'fun_app$p'| (|tptp.'fun_app$q'| |tptp.'pair$'| |tptp.'i$'|) |tptp.'j$'|)))))) (not (= (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| (|tptp.'tensor_op$'| |tptp.'a$'| |tptp.'b2$'|)) (|tptp.'fun_app$o'| |tptp.'ket$'| (|tptp.'fun_app$p'| (|tptp.'fun_app$q'| |tptp.'pair$'| |tptp.'i$'|) |tptp.'j$'|))) (|tptp.'tensor_ell2$'| (|tptp.'fun_app$t'| (|tptp.'cblinfun_apply$a'| |tptp.'a$'|) (|tptp.'ket$a'| |tptp.'i$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b2$'|) (|tptp.'ket$b'| |tptp.'j$'|))))) (not (= (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| (|tptp.'tensor_op$'| |tptp.'a$'| |tptp.'b1$'|)) (|tptp.'fun_app$o'| |tptp.'ket$'| (|tptp.'fun_app$p'| (|tptp.'fun_app$q'| |tptp.'pair$'| |tptp.'i$'|) |tptp.'j$'|))) (|tptp.'tensor_ell2$'| (|tptp.'fun_app$t'| (|tptp.'cblinfun_apply$a'| |tptp.'a$'|) (|tptp.'ket$a'| |tptp.'i$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b1$'|) (|tptp.'ket$b'| |tptp.'j$'|))))) (not (= (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| (|tptp.'fun_app$m'| (|tptp.'fun_app$n'| |tptp.'plus$a'| |tptp.'b1$'|) |tptp.'b2$'|)) (|tptp.'ket$b'| |tptp.'j$'|)) (|tptp.'plus$i'| (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b1$'|) (|tptp.'ket$b'| |tptp.'j$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b2$'|) (|tptp.'ket$b'| |tptp.'j$'|))))) (not (= (|tptp.'tensor_ell2$'| (|tptp.'fun_app$t'| (|tptp.'cblinfun_apply$a'| |tptp.'a$'|) (|tptp.'ket$a'| |tptp.'i$'|)) (|tptp.'plus$i'| (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b1$'|) (|tptp.'ket$b'| |tptp.'j$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b2$'|) (|tptp.'ket$b'| |tptp.'j$'|)))) (|tptp.'plus$u'| (|tptp.'tensor_ell2$'| (|tptp.'fun_app$t'| (|tptp.'cblinfun_apply$a'| |tptp.'a$'|) (|tptp.'ket$a'| |tptp.'i$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b1$'|) (|tptp.'ket$b'| |tptp.'j$'|))) (|tptp.'tensor_ell2$'| (|tptp.'fun_app$t'| (|tptp.'cblinfun_apply$a'| |tptp.'a$'|) (|tptp.'ket$a'| |tptp.'i$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b2$'|) (|tptp.'ket$b'| |tptp.'j$'|))))))) (not (not (not (= (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| (|tptp.'tensor_op$'| |tptp.'a$'| (|tptp.'fun_app$m'| (|tptp.'fun_app$n'| |tptp.'plus$a'| |tptp.'b1$'|) |tptp.'b2$'|))) (|tptp.'fun_app$o'| |tptp.'ket$'| (|tptp.'fun_app$p'| (|tptp.'fun_app$q'| |tptp.'pair$'| |tptp.'i$'|) |tptp.'j$'|))) (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| (|tptp.'fun_app$r'| (|tptp.'fun_app$s'| |tptp.'plus$b'| (|tptp.'tensor_op$'| |tptp.'a$'| |tptp.'b1$'|)) (|tptp.'tensor_op$'| |tptp.'a$'| |tptp.'b2$'|))) (|tptp.'fun_app$o'| |tptp.'ket$'| (|tptp.'fun_app$p'| (|tptp.'fun_app$q'| |tptp.'pair$'| |tptp.'i$'|) |tptp.'j$'|)))))))) :rule or_neg)
% 1.10/1.28 (step t62 (cl (or (not (not (= (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| (|tptp.'tensor_op$'| |tptp.'a$'| (|tptp.'fun_app$m'| (|tptp.'fun_app$n'| |tptp.'plus$a'| |tptp.'b1$'|) |tptp.'b2$'|))) (|tptp.'fun_app$o'| |tptp.'ket$'| (|tptp.'fun_app$p'| (|tptp.'fun_app$q'| |tptp.'pair$'| |tptp.'i$'|) |tptp.'j$'|))) (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| (|tptp.'fun_app$r'| (|tptp.'fun_app$s'| |tptp.'plus$b'| (|tptp.'tensor_op$'| |tptp.'a$'| |tptp.'b1$'|)) (|tptp.'tensor_op$'| |tptp.'a$'| |tptp.'b2$'|))) (|tptp.'fun_app$o'| |tptp.'ket$'| (|tptp.'fun_app$p'| (|tptp.'fun_app$q'| |tptp.'pair$'| |tptp.'i$'|) |tptp.'j$'|)))))) (not (= (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| (|tptp.'tensor_op$'| |tptp.'a$'| (|tptp.'fun_app$m'| (|tptp.'fun_app$n'| |tptp.'plus$a'| |tptp.'b1$'|) |tptp.'b2$'|))) (|tptp.'fun_app$o'| |tptp.'ket$'| (|tptp.'fun_app$p'| (|tptp.'fun_app$q'| |tptp.'pair$'| |tptp.'i$'|) |tptp.'j$'|))) (|tptp.'tensor_ell2$'| (|tptp.'fun_app$t'| (|tptp.'cblinfun_apply$a'| |tptp.'a$'|) (|tptp.'ket$a'| |tptp.'i$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| (|tptp.'fun_app$m'| (|tptp.'fun_app$n'| |tptp.'plus$a'| |tptp.'b1$'|) |tptp.'b2$'|)) (|tptp.'ket$b'| |tptp.'j$'|))))) (not (= (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| (|tptp.'fun_app$r'| (|tptp.'fun_app$s'| |tptp.'plus$b'| (|tptp.'tensor_op$'| |tptp.'a$'| |tptp.'b1$'|)) (|tptp.'tensor_op$'| |tptp.'a$'| |tptp.'b2$'|))) (|tptp.'fun_app$o'| |tptp.'ket$'| (|tptp.'fun_app$p'| (|tptp.'fun_app$q'| |tptp.'pair$'| |tptp.'i$'|) |tptp.'j$'|))) (|tptp.'plus$u'| (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| (|tptp.'tensor_op$'| |tptp.'a$'| |tptp.'b1$'|)) (|tptp.'fun_app$o'| |tptp.'ket$'| (|tptp.'fun_app$p'| (|tptp.'fun_app$q'| |tptp.'pair$'| |tptp.'i$'|) |tptp.'j$'|))) (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| (|tptp.'tensor_op$'| |tptp.'a$'| |tptp.'b2$'|)) (|tptp.'fun_app$o'| |tptp.'ket$'| (|tptp.'fun_app$p'| (|tptp.'fun_app$q'| |tptp.'pair$'| |tptp.'i$'|) |tptp.'j$'|)))))) (not (= (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| (|tptp.'tensor_op$'| |tptp.'a$'| |tptp.'b2$'|)) (|tptp.'fun_app$o'| |tptp.'ket$'| (|tptp.'fun_app$p'| (|tptp.'fun_app$q'| |tptp.'pair$'| |tptp.'i$'|) |tptp.'j$'|))) (|tptp.'tensor_ell2$'| (|tptp.'fun_app$t'| (|tptp.'cblinfun_apply$a'| |tptp.'a$'|) (|tptp.'ket$a'| |tptp.'i$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b2$'|) (|tptp.'ket$b'| |tptp.'j$'|))))) (not (= (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| (|tptp.'tensor_op$'| |tptp.'a$'| |tptp.'b1$'|)) (|tptp.'fun_app$o'| |tptp.'ket$'| (|tptp.'fun_app$p'| (|tptp.'fun_app$q'| |tptp.'pair$'| |tptp.'i$'|) |tptp.'j$'|))) (|tptp.'tensor_ell2$'| (|tptp.'fun_app$t'| (|tptp.'cblinfun_apply$a'| |tptp.'a$'|) (|tptp.'ket$a'| |tptp.'i$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b1$'|) (|tptp.'ket$b'| |tptp.'j$'|))))) (not (= (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| (|tptp.'fun_app$m'| (|tptp.'fun_app$n'| |tptp.'plus$a'| |tptp.'b1$'|) |tptp.'b2$'|)) (|tptp.'ket$b'| |tptp.'j$'|)) (|tptp.'plus$i'| (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b1$'|) (|tptp.'ket$b'| |tptp.'j$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b2$'|) (|tptp.'ket$b'| |tptp.'j$'|))))) (not (= (|tptp.'tensor_ell2$'| (|tptp.'fun_app$t'| (|tptp.'cblinfun_apply$a'| |tptp.'a$'|) (|tptp.'ket$a'| |tptp.'i$'|)) (|tptp.'plus$i'| (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b1$'|) (|tptp.'ket$b'| |tptp.'j$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b2$'|) (|tptp.'ket$b'| |tptp.'j$'|)))) (|tptp.'plus$u'| (|tptp.'tensor_ell2$'| (|tptp.'fun_app$t'| (|tptp.'cblinfun_apply$a'| |tptp.'a$'|) (|tptp.'ket$a'| |tptp.'i$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b1$'|) (|tptp.'ket$b'| |tptp.'j$'|))) (|tptp.'tensor_ell2$'| (|tptp.'fun_app$t'| (|tptp.'cblinfun_apply$a'| |tptp.'a$'|) (|tptp.'ket$a'| |tptp.'i$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b2$'|) (|tptp.'ket$b'| |tptp.'j$'|))))))) (not (not (= (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| (|tptp.'tensor_op$'| |tptp.'a$'| (|tptp.'fun_app$m'| (|tptp.'fun_app$n'| |tptp.'plus$a'| |tptp.'b1$'|) |tptp.'b2$'|))) (|tptp.'fun_app$o'| |tptp.'ket$'| (|tptp.'fun_app$p'| (|tptp.'fun_app$q'| |tptp.'pair$'| |tptp.'i$'|) |tptp.'j$'|))) (|tptp.'tensor_ell2$'| (|tptp.'fun_app$t'| (|tptp.'cblinfun_apply$a'| |tptp.'a$'|) (|tptp.'ket$a'| |tptp.'i$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| (|tptp.'fun_app$m'| (|tptp.'fun_app$n'| |tptp.'plus$a'| |tptp.'b1$'|) |tptp.'b2$'|)) (|tptp.'ket$b'| |tptp.'j$'|))))))) :rule or_neg)
% 1.10/1.28 (step t63 (cl (or (not (not (= (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| (|tptp.'tensor_op$'| |tptp.'a$'| (|tptp.'fun_app$m'| (|tptp.'fun_app$n'| |tptp.'plus$a'| |tptp.'b1$'|) |tptp.'b2$'|))) (|tptp.'fun_app$o'| |tptp.'ket$'| (|tptp.'fun_app$p'| (|tptp.'fun_app$q'| |tptp.'pair$'| |tptp.'i$'|) |tptp.'j$'|))) (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| (|tptp.'fun_app$r'| (|tptp.'fun_app$s'| |tptp.'plus$b'| (|tptp.'tensor_op$'| |tptp.'a$'| |tptp.'b1$'|)) (|tptp.'tensor_op$'| |tptp.'a$'| |tptp.'b2$'|))) (|tptp.'fun_app$o'| |tptp.'ket$'| (|tptp.'fun_app$p'| (|tptp.'fun_app$q'| |tptp.'pair$'| |tptp.'i$'|) |tptp.'j$'|)))))) (not (= (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| (|tptp.'tensor_op$'| |tptp.'a$'| (|tptp.'fun_app$m'| (|tptp.'fun_app$n'| |tptp.'plus$a'| |tptp.'b1$'|) |tptp.'b2$'|))) (|tptp.'fun_app$o'| |tptp.'ket$'| (|tptp.'fun_app$p'| (|tptp.'fun_app$q'| |tptp.'pair$'| |tptp.'i$'|) |tptp.'j$'|))) (|tptp.'tensor_ell2$'| (|tptp.'fun_app$t'| (|tptp.'cblinfun_apply$a'| |tptp.'a$'|) (|tptp.'ket$a'| |tptp.'i$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| (|tptp.'fun_app$m'| (|tptp.'fun_app$n'| |tptp.'plus$a'| |tptp.'b1$'|) |tptp.'b2$'|)) (|tptp.'ket$b'| |tptp.'j$'|))))) (not (= (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| (|tptp.'fun_app$r'| (|tptp.'fun_app$s'| |tptp.'plus$b'| (|tptp.'tensor_op$'| |tptp.'a$'| |tptp.'b1$'|)) (|tptp.'tensor_op$'| |tptp.'a$'| |tptp.'b2$'|))) (|tptp.'fun_app$o'| |tptp.'ket$'| (|tptp.'fun_app$p'| (|tptp.'fun_app$q'| |tptp.'pair$'| |tptp.'i$'|) |tptp.'j$'|))) (|tptp.'plus$u'| (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| (|tptp.'tensor_op$'| |tptp.'a$'| |tptp.'b1$'|)) (|tptp.'fun_app$o'| |tptp.'ket$'| (|tptp.'fun_app$p'| (|tptp.'fun_app$q'| |tptp.'pair$'| |tptp.'i$'|) |tptp.'j$'|))) (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| (|tptp.'tensor_op$'| |tptp.'a$'| |tptp.'b2$'|)) (|tptp.'fun_app$o'| |tptp.'ket$'| (|tptp.'fun_app$p'| (|tptp.'fun_app$q'| |tptp.'pair$'| |tptp.'i$'|) |tptp.'j$'|)))))) (not (= (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| (|tptp.'tensor_op$'| |tptp.'a$'| |tptp.'b2$'|)) (|tptp.'fun_app$o'| |tptp.'ket$'| (|tptp.'fun_app$p'| (|tptp.'fun_app$q'| |tptp.'pair$'| |tptp.'i$'|) |tptp.'j$'|))) (|tptp.'tensor_ell2$'| (|tptp.'fun_app$t'| (|tptp.'cblinfun_apply$a'| |tptp.'a$'|) (|tptp.'ket$a'| |tptp.'i$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b2$'|) (|tptp.'ket$b'| |tptp.'j$'|))))) (not (= (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| (|tptp.'tensor_op$'| |tptp.'a$'| |tptp.'b1$'|)) (|tptp.'fun_app$o'| |tptp.'ket$'| (|tptp.'fun_app$p'| (|tptp.'fun_app$q'| |tptp.'pair$'| |tptp.'i$'|) |tptp.'j$'|))) (|tptp.'tensor_ell2$'| (|tptp.'fun_app$t'| (|tptp.'cblinfun_apply$a'| |tptp.'a$'|) (|tptp.'ket$a'| |tptp.'i$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b1$'|) (|tptp.'ket$b'| |tptp.'j$'|))))) (not (= (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| (|tptp.'fun_app$m'| (|tptp.'fun_app$n'| |tptp.'plus$a'| |tptp.'b1$'|) |tptp.'b2$'|)) (|tptp.'ket$b'| |tptp.'j$'|)) (|tptp.'plus$i'| (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b1$'|) (|tptp.'ket$b'| |tptp.'j$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b2$'|) (|tptp.'ket$b'| |tptp.'j$'|))))) (not (= (|tptp.'tensor_ell2$'| (|tptp.'fun_app$t'| (|tptp.'cblinfun_apply$a'| |tptp.'a$'|) (|tptp.'ket$a'| |tptp.'i$'|)) (|tptp.'plus$i'| (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b1$'|) (|tptp.'ket$b'| |tptp.'j$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b2$'|) (|tptp.'ket$b'| |tptp.'j$'|)))) (|tptp.'plus$u'| (|tptp.'tensor_ell2$'| (|tptp.'fun_app$t'| (|tptp.'cblinfun_apply$a'| |tptp.'a$'|) (|tptp.'ket$a'| |tptp.'i$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b1$'|) (|tptp.'ket$b'| |tptp.'j$'|))) (|tptp.'tensor_ell2$'| (|tptp.'fun_app$t'| (|tptp.'cblinfun_apply$a'| |tptp.'a$'|) (|tptp.'ket$a'| |tptp.'i$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b2$'|) (|tptp.'ket$b'| |tptp.'j$'|))))))) (not (not (= (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| (|tptp.'fun_app$r'| (|tptp.'fun_app$s'| |tptp.'plus$b'| (|tptp.'tensor_op$'| |tptp.'a$'| |tptp.'b1$'|)) (|tptp.'tensor_op$'| |tptp.'a$'| |tptp.'b2$'|))) (|tptp.'fun_app$o'| |tptp.'ket$'| (|tptp.'fun_app$p'| (|tptp.'fun_app$q'| |tptp.'pair$'| |tptp.'i$'|) |tptp.'j$'|))) (|tptp.'plus$u'| (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| (|tptp.'tensor_op$'| |tptp.'a$'| |tptp.'b1$'|)) (|tptp.'fun_app$o'| |tptp.'ket$'| (|tptp.'fun_app$p'| (|tptp.'fun_app$q'| |tptp.'pair$'| |tptp.'i$'|) |tptp.'j$'|))) (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| (|tptp.'tensor_op$'| |tptp.'a$'| |tptp.'b2$'|)) (|tptp.'fun_app$o'| |tptp.'ket$'| (|tptp.'fun_app$p'| (|tptp.'fun_app$q'| |tptp.'pair$'| |tptp.'i$'|) |tptp.'j$'|)))))))) :rule or_neg)
% 1.10/1.28 (step t64 (cl (or (not (not (= (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| (|tptp.'tensor_op$'| |tptp.'a$'| (|tptp.'fun_app$m'| (|tptp.'fun_app$n'| |tptp.'plus$a'| |tptp.'b1$'|) |tptp.'b2$'|))) (|tptp.'fun_app$o'| |tptp.'ket$'| (|tptp.'fun_app$p'| (|tptp.'fun_app$q'| |tptp.'pair$'| |tptp.'i$'|) |tptp.'j$'|))) (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| (|tptp.'fun_app$r'| (|tptp.'fun_app$s'| |tptp.'plus$b'| (|tptp.'tensor_op$'| |tptp.'a$'| |tptp.'b1$'|)) (|tptp.'tensor_op$'| |tptp.'a$'| |tptp.'b2$'|))) (|tptp.'fun_app$o'| |tptp.'ket$'| (|tptp.'fun_app$p'| (|tptp.'fun_app$q'| |tptp.'pair$'| |tptp.'i$'|) |tptp.'j$'|)))))) (not (= (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| (|tptp.'tensor_op$'| |tptp.'a$'| (|tptp.'fun_app$m'| (|tptp.'fun_app$n'| |tptp.'plus$a'| |tptp.'b1$'|) |tptp.'b2$'|))) (|tptp.'fun_app$o'| |tptp.'ket$'| (|tptp.'fun_app$p'| (|tptp.'fun_app$q'| |tptp.'pair$'| |tptp.'i$'|) |tptp.'j$'|))) (|tptp.'tensor_ell2$'| (|tptp.'fun_app$t'| (|tptp.'cblinfun_apply$a'| |tptp.'a$'|) (|tptp.'ket$a'| |tptp.'i$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| (|tptp.'fun_app$m'| (|tptp.'fun_app$n'| |tptp.'plus$a'| |tptp.'b1$'|) |tptp.'b2$'|)) (|tptp.'ket$b'| |tptp.'j$'|))))) (not (= (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| (|tptp.'fun_app$r'| (|tptp.'fun_app$s'| |tptp.'plus$b'| (|tptp.'tensor_op$'| |tptp.'a$'| |tptp.'b1$'|)) (|tptp.'tensor_op$'| |tptp.'a$'| |tptp.'b2$'|))) (|tptp.'fun_app$o'| |tptp.'ket$'| (|tptp.'fun_app$p'| (|tptp.'fun_app$q'| |tptp.'pair$'| |tptp.'i$'|) |tptp.'j$'|))) (|tptp.'plus$u'| (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| (|tptp.'tensor_op$'| |tptp.'a$'| |tptp.'b1$'|)) (|tptp.'fun_app$o'| |tptp.'ket$'| (|tptp.'fun_app$p'| (|tptp.'fun_app$q'| |tptp.'pair$'| |tptp.'i$'|) |tptp.'j$'|))) (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| (|tptp.'tensor_op$'| |tptp.'a$'| |tptp.'b2$'|)) (|tptp.'fun_app$o'| |tptp.'ket$'| (|tptp.'fun_app$p'| (|tptp.'fun_app$q'| |tptp.'pair$'| |tptp.'i$'|) |tptp.'j$'|)))))) (not (= (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| (|tptp.'tensor_op$'| |tptp.'a$'| |tptp.'b2$'|)) (|tptp.'fun_app$o'| |tptp.'ket$'| (|tptp.'fun_app$p'| (|tptp.'fun_app$q'| |tptp.'pair$'| |tptp.'i$'|) |tptp.'j$'|))) (|tptp.'tensor_ell2$'| (|tptp.'fun_app$t'| (|tptp.'cblinfun_apply$a'| |tptp.'a$'|) (|tptp.'ket$a'| |tptp.'i$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b2$'|) (|tptp.'ket$b'| |tptp.'j$'|))))) (not (= (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| (|tptp.'tensor_op$'| |tptp.'a$'| |tptp.'b1$'|)) (|tptp.'fun_app$o'| |tptp.'ket$'| (|tptp.'fun_app$p'| (|tptp.'fun_app$q'| |tptp.'pair$'| |tptp.'i$'|) |tptp.'j$'|))) (|tptp.'tensor_ell2$'| (|tptp.'fun_app$t'| (|tptp.'cblinfun_apply$a'| |tptp.'a$'|) (|tptp.'ket$a'| |tptp.'i$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b1$'|) (|tptp.'ket$b'| |tptp.'j$'|))))) (not (= (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| (|tptp.'fun_app$m'| (|tptp.'fun_app$n'| |tptp.'plus$a'| |tptp.'b1$'|) |tptp.'b2$'|)) (|tptp.'ket$b'| |tptp.'j$'|)) (|tptp.'plus$i'| (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b1$'|) (|tptp.'ket$b'| |tptp.'j$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b2$'|) (|tptp.'ket$b'| |tptp.'j$'|))))) (not (= (|tptp.'tensor_ell2$'| (|tptp.'fun_app$t'| (|tptp.'cblinfun_apply$a'| |tptp.'a$'|) (|tptp.'ket$a'| |tptp.'i$'|)) (|tptp.'plus$i'| (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b1$'|) (|tptp.'ket$b'| |tptp.'j$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b2$'|) (|tptp.'ket$b'| |tptp.'j$'|)))) (|tptp.'plus$u'| (|tptp.'tensor_ell2$'| (|tptp.'fun_app$t'| (|tptp.'cblinfun_apply$a'| |tptp.'a$'|) (|tptp.'ket$a'| |tptp.'i$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b1$'|) (|tptp.'ket$b'| |tptp.'j$'|))) (|tptp.'tensor_ell2$'| (|tptp.'fun_app$t'| (|tptp.'cblinfun_apply$a'| |tptp.'a$'|) (|tptp.'ket$a'| |tptp.'i$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b2$'|) (|tptp.'ket$b'| |tptp.'j$'|))))))) (not (not (= (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| (|tptp.'tensor_op$'| |tptp.'a$'| |tptp.'b2$'|)) (|tptp.'fun_app$o'| |tptp.'ket$'| (|tptp.'fun_app$p'| (|tptp.'fun_app$q'| |tptp.'pair$'| |tptp.'i$'|) |tptp.'j$'|))) (|tptp.'tensor_ell2$'| (|tptp.'fun_app$t'| (|tptp.'cblinfun_apply$a'| |tptp.'a$'|) (|tptp.'ket$a'| |tptp.'i$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b2$'|) (|tptp.'ket$b'| |tptp.'j$'|))))))) :rule or_neg)
% 1.10/1.28 (step t65 (cl (or (not (not (= (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| (|tptp.'tensor_op$'| |tptp.'a$'| (|tptp.'fun_app$m'| (|tptp.'fun_app$n'| |tptp.'plus$a'| |tptp.'b1$'|) |tptp.'b2$'|))) (|tptp.'fun_app$o'| |tptp.'ket$'| (|tptp.'fun_app$p'| (|tptp.'fun_app$q'| |tptp.'pair$'| |tptp.'i$'|) |tptp.'j$'|))) (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| (|tptp.'fun_app$r'| (|tptp.'fun_app$s'| |tptp.'plus$b'| (|tptp.'tensor_op$'| |tptp.'a$'| |tptp.'b1$'|)) (|tptp.'tensor_op$'| |tptp.'a$'| |tptp.'b2$'|))) (|tptp.'fun_app$o'| |tptp.'ket$'| (|tptp.'fun_app$p'| (|tptp.'fun_app$q'| |tptp.'pair$'| |tptp.'i$'|) |tptp.'j$'|)))))) (not (= (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| (|tptp.'tensor_op$'| |tptp.'a$'| (|tptp.'fun_app$m'| (|tptp.'fun_app$n'| |tptp.'plus$a'| |tptp.'b1$'|) |tptp.'b2$'|))) (|tptp.'fun_app$o'| |tptp.'ket$'| (|tptp.'fun_app$p'| (|tptp.'fun_app$q'| |tptp.'pair$'| |tptp.'i$'|) |tptp.'j$'|))) (|tptp.'tensor_ell2$'| (|tptp.'fun_app$t'| (|tptp.'cblinfun_apply$a'| |tptp.'a$'|) (|tptp.'ket$a'| |tptp.'i$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| (|tptp.'fun_app$m'| (|tptp.'fun_app$n'| |tptp.'plus$a'| |tptp.'b1$'|) |tptp.'b2$'|)) (|tptp.'ket$b'| |tptp.'j$'|))))) (not (= (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| (|tptp.'fun_app$r'| (|tptp.'fun_app$s'| |tptp.'plus$b'| (|tptp.'tensor_op$'| |tptp.'a$'| |tptp.'b1$'|)) (|tptp.'tensor_op$'| |tptp.'a$'| |tptp.'b2$'|))) (|tptp.'fun_app$o'| |tptp.'ket$'| (|tptp.'fun_app$p'| (|tptp.'fun_app$q'| |tptp.'pair$'| |tptp.'i$'|) |tptp.'j$'|))) (|tptp.'plus$u'| (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| (|tptp.'tensor_op$'| |tptp.'a$'| |tptp.'b1$'|)) (|tptp.'fun_app$o'| |tptp.'ket$'| (|tptp.'fun_app$p'| (|tptp.'fun_app$q'| |tptp.'pair$'| |tptp.'i$'|) |tptp.'j$'|))) (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| (|tptp.'tensor_op$'| |tptp.'a$'| |tptp.'b2$'|)) (|tptp.'fun_app$o'| |tptp.'ket$'| (|tptp.'fun_app$p'| (|tptp.'fun_app$q'| |tptp.'pair$'| |tptp.'i$'|) |tptp.'j$'|)))))) (not (= (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| (|tptp.'tensor_op$'| |tptp.'a$'| |tptp.'b2$'|)) (|tptp.'fun_app$o'| |tptp.'ket$'| (|tptp.'fun_app$p'| (|tptp.'fun_app$q'| |tptp.'pair$'| |tptp.'i$'|) |tptp.'j$'|))) (|tptp.'tensor_ell2$'| (|tptp.'fun_app$t'| (|tptp.'cblinfun_apply$a'| |tptp.'a$'|) (|tptp.'ket$a'| |tptp.'i$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b2$'|) (|tptp.'ket$b'| |tptp.'j$'|))))) (not (= (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| (|tptp.'tensor_op$'| |tptp.'a$'| |tptp.'b1$'|)) (|tptp.'fun_app$o'| |tptp.'ket$'| (|tptp.'fun_app$p'| (|tptp.'fun_app$q'| |tptp.'pair$'| |tptp.'i$'|) |tptp.'j$'|))) (|tptp.'tensor_ell2$'| (|tptp.'fun_app$t'| (|tptp.'cblinfun_apply$a'| |tptp.'a$'|) (|tptp.'ket$a'| |tptp.'i$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b1$'|) (|tptp.'ket$b'| |tptp.'j$'|))))) (not (= (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| (|tptp.'fun_app$m'| (|tptp.'fun_app$n'| |tptp.'plus$a'| |tptp.'b1$'|) |tptp.'b2$'|)) (|tptp.'ket$b'| |tptp.'j$'|)) (|tptp.'plus$i'| (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b1$'|) (|tptp.'ket$b'| |tptp.'j$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b2$'|) (|tptp.'ket$b'| |tptp.'j$'|))))) (not (= (|tptp.'tensor_ell2$'| (|tptp.'fun_app$t'| (|tptp.'cblinfun_apply$a'| |tptp.'a$'|) (|tptp.'ket$a'| |tptp.'i$'|)) (|tptp.'plus$i'| (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b1$'|) (|tptp.'ket$b'| |tptp.'j$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b2$'|) (|tptp.'ket$b'| |tptp.'j$'|)))) (|tptp.'plus$u'| (|tptp.'tensor_ell2$'| (|tptp.'fun_app$t'| (|tptp.'cblinfun_apply$a'| |tptp.'a$'|) (|tptp.'ket$a'| |tptp.'i$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b1$'|) (|tptp.'ket$b'| |tptp.'j$'|))) (|tptp.'tensor_ell2$'| (|tptp.'fun_app$t'| (|tptp.'cblinfun_apply$a'| |tptp.'a$'|) (|tptp.'ket$a'| |tptp.'i$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b2$'|) (|tptp.'ket$b'| |tptp.'j$'|))))))) (not (not (= (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| (|tptp.'tensor_op$'| |tptp.'a$'| |tptp.'b1$'|)) (|tptp.'fun_app$o'| |tptp.'ket$'| (|tptp.'fun_app$p'| (|tptp.'fun_app$q'| |tptp.'pair$'| |tptp.'i$'|) |tptp.'j$'|))) (|tptp.'tensor_ell2$'| (|tptp.'fun_app$t'| (|tptp.'cblinfun_apply$a'| |tptp.'a$'|) (|tptp.'ket$a'| |tptp.'i$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b1$'|) (|tptp.'ket$b'| |tptp.'j$'|))))))) :rule or_neg)
% 1.10/1.28 (step t66 (cl (or (not (not (= (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| (|tptp.'tensor_op$'| |tptp.'a$'| (|tptp.'fun_app$m'| (|tptp.'fun_app$n'| |tptp.'plus$a'| |tptp.'b1$'|) |tptp.'b2$'|))) (|tptp.'fun_app$o'| |tptp.'ket$'| (|tptp.'fun_app$p'| (|tptp.'fun_app$q'| |tptp.'pair$'| |tptp.'i$'|) |tptp.'j$'|))) (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| (|tptp.'fun_app$r'| (|tptp.'fun_app$s'| |tptp.'plus$b'| (|tptp.'tensor_op$'| |tptp.'a$'| |tptp.'b1$'|)) (|tptp.'tensor_op$'| |tptp.'a$'| |tptp.'b2$'|))) (|tptp.'fun_app$o'| |tptp.'ket$'| (|tptp.'fun_app$p'| (|tptp.'fun_app$q'| |tptp.'pair$'| |tptp.'i$'|) |tptp.'j$'|)))))) (not (= (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| (|tptp.'tensor_op$'| |tptp.'a$'| (|tptp.'fun_app$m'| (|tptp.'fun_app$n'| |tptp.'plus$a'| |tptp.'b1$'|) |tptp.'b2$'|))) (|tptp.'fun_app$o'| |tptp.'ket$'| (|tptp.'fun_app$p'| (|tptp.'fun_app$q'| |tptp.'pair$'| |tptp.'i$'|) |tptp.'j$'|))) (|tptp.'tensor_ell2$'| (|tptp.'fun_app$t'| (|tptp.'cblinfun_apply$a'| |tptp.'a$'|) (|tptp.'ket$a'| |tptp.'i$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| (|tptp.'fun_app$m'| (|tptp.'fun_app$n'| |tptp.'plus$a'| |tptp.'b1$'|) |tptp.'b2$'|)) (|tptp.'ket$b'| |tptp.'j$'|))))) (not (= (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| (|tptp.'fun_app$r'| (|tptp.'fun_app$s'| |tptp.'plus$b'| (|tptp.'tensor_op$'| |tptp.'a$'| |tptp.'b1$'|)) (|tptp.'tensor_op$'| |tptp.'a$'| |tptp.'b2$'|))) (|tptp.'fun_app$o'| |tptp.'ket$'| (|tptp.'fun_app$p'| (|tptp.'fun_app$q'| |tptp.'pair$'| |tptp.'i$'|) |tptp.'j$'|))) (|tptp.'plus$u'| (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| (|tptp.'tensor_op$'| |tptp.'a$'| |tptp.'b1$'|)) (|tptp.'fun_app$o'| |tptp.'ket$'| (|tptp.'fun_app$p'| (|tptp.'fun_app$q'| |tptp.'pair$'| |tptp.'i$'|) |tptp.'j$'|))) (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| (|tptp.'tensor_op$'| |tptp.'a$'| |tptp.'b2$'|)) (|tptp.'fun_app$o'| |tptp.'ket$'| (|tptp.'fun_app$p'| (|tptp.'fun_app$q'| |tptp.'pair$'| |tptp.'i$'|) |tptp.'j$'|)))))) (not (= (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| (|tptp.'tensor_op$'| |tptp.'a$'| |tptp.'b2$'|)) (|tptp.'fun_app$o'| |tptp.'ket$'| (|tptp.'fun_app$p'| (|tptp.'fun_app$q'| |tptp.'pair$'| |tptp.'i$'|) |tptp.'j$'|))) (|tptp.'tensor_ell2$'| (|tptp.'fun_app$t'| (|tptp.'cblinfun_apply$a'| |tptp.'a$'|) (|tptp.'ket$a'| |tptp.'i$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b2$'|) (|tptp.'ket$b'| |tptp.'j$'|))))) (not (= (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| (|tptp.'tensor_op$'| |tptp.'a$'| |tptp.'b1$'|)) (|tptp.'fun_app$o'| |tptp.'ket$'| (|tptp.'fun_app$p'| (|tptp.'fun_app$q'| |tptp.'pair$'| |tptp.'i$'|) |tptp.'j$'|))) (|tptp.'tensor_ell2$'| (|tptp.'fun_app$t'| (|tptp.'cblinfun_apply$a'| |tptp.'a$'|) (|tptp.'ket$a'| |tptp.'i$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b1$'|) (|tptp.'ket$b'| |tptp.'j$'|))))) (not (= (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| (|tptp.'fun_app$m'| (|tptp.'fun_app$n'| |tptp.'plus$a'| |tptp.'b1$'|) |tptp.'b2$'|)) (|tptp.'ket$b'| |tptp.'j$'|)) (|tptp.'plus$i'| (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b1$'|) (|tptp.'ket$b'| |tptp.'j$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b2$'|) (|tptp.'ket$b'| |tptp.'j$'|))))) (not (= (|tptp.'tensor_ell2$'| (|tptp.'fun_app$t'| (|tptp.'cblinfun_apply$a'| |tptp.'a$'|) (|tptp.'ket$a'| |tptp.'i$'|)) (|tptp.'plus$i'| (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b1$'|) (|tptp.'ket$b'| |tptp.'j$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b2$'|) (|tptp.'ket$b'| |tptp.'j$'|)))) (|tptp.'plus$u'| (|tptp.'tensor_ell2$'| (|tptp.'fun_app$t'| (|tptp.'cblinfun_apply$a'| |tptp.'a$'|) (|tptp.'ket$a'| |tptp.'i$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b1$'|) (|tptp.'ket$b'| |tptp.'j$'|))) (|tptp.'tensor_ell2$'| (|tptp.'fun_app$t'| (|tptp.'cblinfun_apply$a'| |tptp.'a$'|) (|tptp.'ket$a'| |tptp.'i$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b2$'|) (|tptp.'ket$b'| |tptp.'j$'|))))))) (not (not (= (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| (|tptp.'fun_app$m'| (|tptp.'fun_app$n'| |tptp.'plus$a'| |tptp.'b1$'|) |tptp.'b2$'|)) (|tptp.'ket$b'| |tptp.'j$'|)) (|tptp.'plus$i'| (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b1$'|) (|tptp.'ket$b'| |tptp.'j$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b2$'|) (|tptp.'ket$b'| |tptp.'j$'|))))))) :rule or_neg)
% 1.10/1.28 (step t67 (cl (or (not (not (= (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| (|tptp.'tensor_op$'| |tptp.'a$'| (|tptp.'fun_app$m'| (|tptp.'fun_app$n'| |tptp.'plus$a'| |tptp.'b1$'|) |tptp.'b2$'|))) (|tptp.'fun_app$o'| |tptp.'ket$'| (|tptp.'fun_app$p'| (|tptp.'fun_app$q'| |tptp.'pair$'| |tptp.'i$'|) |tptp.'j$'|))) (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| (|tptp.'fun_app$r'| (|tptp.'fun_app$s'| |tptp.'plus$b'| (|tptp.'tensor_op$'| |tptp.'a$'| |tptp.'b1$'|)) (|tptp.'tensor_op$'| |tptp.'a$'| |tptp.'b2$'|))) (|tptp.'fun_app$o'| |tptp.'ket$'| (|tptp.'fun_app$p'| (|tptp.'fun_app$q'| |tptp.'pair$'| |tptp.'i$'|) |tptp.'j$'|)))))) (not (= (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| (|tptp.'tensor_op$'| |tptp.'a$'| (|tptp.'fun_app$m'| (|tptp.'fun_app$n'| |tptp.'plus$a'| |tptp.'b1$'|) |tptp.'b2$'|))) (|tptp.'fun_app$o'| |tptp.'ket$'| (|tptp.'fun_app$p'| (|tptp.'fun_app$q'| |tptp.'pair$'| |tptp.'i$'|) |tptp.'j$'|))) (|tptp.'tensor_ell2$'| (|tptp.'fun_app$t'| (|tptp.'cblinfun_apply$a'| |tptp.'a$'|) (|tptp.'ket$a'| |tptp.'i$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| (|tptp.'fun_app$m'| (|tptp.'fun_app$n'| |tptp.'plus$a'| |tptp.'b1$'|) |tptp.'b2$'|)) (|tptp.'ket$b'| |tptp.'j$'|))))) (not (= (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| (|tptp.'fun_app$r'| (|tptp.'fun_app$s'| |tptp.'plus$b'| (|tptp.'tensor_op$'| |tptp.'a$'| |tptp.'b1$'|)) (|tptp.'tensor_op$'| |tptp.'a$'| |tptp.'b2$'|))) (|tptp.'fun_app$o'| |tptp.'ket$'| (|tptp.'fun_app$p'| (|tptp.'fun_app$q'| |tptp.'pair$'| |tptp.'i$'|) |tptp.'j$'|))) (|tptp.'plus$u'| (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| (|tptp.'tensor_op$'| |tptp.'a$'| |tptp.'b1$'|)) (|tptp.'fun_app$o'| |tptp.'ket$'| (|tptp.'fun_app$p'| (|tptp.'fun_app$q'| |tptp.'pair$'| |tptp.'i$'|) |tptp.'j$'|))) (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| (|tptp.'tensor_op$'| |tptp.'a$'| |tptp.'b2$'|)) (|tptp.'fun_app$o'| |tptp.'ket$'| (|tptp.'fun_app$p'| (|tptp.'fun_app$q'| |tptp.'pair$'| |tptp.'i$'|) |tptp.'j$'|)))))) (not (= (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| (|tptp.'tensor_op$'| |tptp.'a$'| |tptp.'b2$'|)) (|tptp.'fun_app$o'| |tptp.'ket$'| (|tptp.'fun_app$p'| (|tptp.'fun_app$q'| |tptp.'pair$'| |tptp.'i$'|) |tptp.'j$'|))) (|tptp.'tensor_ell2$'| (|tptp.'fun_app$t'| (|tptp.'cblinfun_apply$a'| |tptp.'a$'|) (|tptp.'ket$a'| |tptp.'i$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b2$'|) (|tptp.'ket$b'| |tptp.'j$'|))))) (not (= (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| (|tptp.'tensor_op$'| |tptp.'a$'| |tptp.'b1$'|)) (|tptp.'fun_app$o'| |tptp.'ket$'| (|tptp.'fun_app$p'| (|tptp.'fun_app$q'| |tptp.'pair$'| |tptp.'i$'|) |tptp.'j$'|))) (|tptp.'tensor_ell2$'| (|tptp.'fun_app$t'| (|tptp.'cblinfun_apply$a'| |tptp.'a$'|) (|tptp.'ket$a'| |tptp.'i$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b1$'|) (|tptp.'ket$b'| |tptp.'j$'|))))) (not (= (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| (|tptp.'fun_app$m'| (|tptp.'fun_app$n'| |tptp.'plus$a'| |tptp.'b1$'|) |tptp.'b2$'|)) (|tptp.'ket$b'| |tptp.'j$'|)) (|tptp.'plus$i'| (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b1$'|) (|tptp.'ket$b'| |tptp.'j$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b2$'|) (|tptp.'ket$b'| |tptp.'j$'|))))) (not (= (|tptp.'tensor_ell2$'| (|tptp.'fun_app$t'| (|tptp.'cblinfun_apply$a'| |tptp.'a$'|) (|tptp.'ket$a'| |tptp.'i$'|)) (|tptp.'plus$i'| (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b1$'|) (|tptp.'ket$b'| |tptp.'j$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b2$'|) (|tptp.'ket$b'| |tptp.'j$'|)))) (|tptp.'plus$u'| (|tptp.'tensor_ell2$'| (|tptp.'fun_app$t'| (|tptp.'cblinfun_apply$a'| |tptp.'a$'|) (|tptp.'ket$a'| |tptp.'i$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b1$'|) (|tptp.'ket$b'| |tptp.'j$'|))) (|tptp.'tensor_ell2$'| (|tptp.'fun_app$t'| (|tptp.'cblinfun_apply$a'| |tptp.'a$'|) (|tptp.'ket$a'| |tptp.'i$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b2$'|) (|tptp.'ket$b'| |tptp.'j$'|))))))) (not (not (= (|tptp.'tensor_ell2$'| (|tptp.'fun_app$t'| (|tptp.'cblinfun_apply$a'| |tptp.'a$'|) (|tptp.'ket$a'| |tptp.'i$'|)) (|tptp.'plus$i'| (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b1$'|) (|tptp.'ket$b'| |tptp.'j$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b2$'|) (|tptp.'ket$b'| |tptp.'j$'|)))) (|tptp.'plus$u'| (|tptp.'tensor_ell2$'| (|tptp.'fun_app$t'| (|tptp.'cblinfun_apply$a'| |tptp.'a$'|) (|tptp.'ket$a'| |tptp.'i$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b1$'|) (|tptp.'ket$b'| |tptp.'j$'|))) (|tptp.'tensor_ell2$'| (|tptp.'fun_app$t'| (|tptp.'cblinfun_apply$a'| |tptp.'a$'|) (|tptp.'ket$a'| |tptp.'i$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b2$'|) (|tptp.'ket$b'| |tptp.'j$'|)))))))) :rule or_neg)
% 1.10/1.28 (step t68 (cl (or (not (not (= (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| (|tptp.'tensor_op$'| |tptp.'a$'| (|tptp.'fun_app$m'| (|tptp.'fun_app$n'| |tptp.'plus$a'| |tptp.'b1$'|) |tptp.'b2$'|))) (|tptp.'fun_app$o'| |tptp.'ket$'| (|tptp.'fun_app$p'| (|tptp.'fun_app$q'| |tptp.'pair$'| |tptp.'i$'|) |tptp.'j$'|))) (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| (|tptp.'fun_app$r'| (|tptp.'fun_app$s'| |tptp.'plus$b'| (|tptp.'tensor_op$'| |tptp.'a$'| |tptp.'b1$'|)) (|tptp.'tensor_op$'| |tptp.'a$'| |tptp.'b2$'|))) (|tptp.'fun_app$o'| |tptp.'ket$'| (|tptp.'fun_app$p'| (|tptp.'fun_app$q'| |tptp.'pair$'| |tptp.'i$'|) |tptp.'j$'|)))))) (not (= (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| (|tptp.'tensor_op$'| |tptp.'a$'| (|tptp.'fun_app$m'| (|tptp.'fun_app$n'| |tptp.'plus$a'| |tptp.'b1$'|) |tptp.'b2$'|))) (|tptp.'fun_app$o'| |tptp.'ket$'| (|tptp.'fun_app$p'| (|tptp.'fun_app$q'| |tptp.'pair$'| |tptp.'i$'|) |tptp.'j$'|))) (|tptp.'tensor_ell2$'| (|tptp.'fun_app$t'| (|tptp.'cblinfun_apply$a'| |tptp.'a$'|) (|tptp.'ket$a'| |tptp.'i$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| (|tptp.'fun_app$m'| (|tptp.'fun_app$n'| |tptp.'plus$a'| |tptp.'b1$'|) |tptp.'b2$'|)) (|tptp.'ket$b'| |tptp.'j$'|))))) (not (= (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| (|tptp.'fun_app$r'| (|tptp.'fun_app$s'| |tptp.'plus$b'| (|tptp.'tensor_op$'| |tptp.'a$'| |tptp.'b1$'|)) (|tptp.'tensor_op$'| |tptp.'a$'| |tptp.'b2$'|))) (|tptp.'fun_app$o'| |tptp.'ket$'| (|tptp.'fun_app$p'| (|tptp.'fun_app$q'| |tptp.'pair$'| |tptp.'i$'|) |tptp.'j$'|))) (|tptp.'plus$u'| (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| (|tptp.'tensor_op$'| |tptp.'a$'| |tptp.'b1$'|)) (|tptp.'fun_app$o'| |tptp.'ket$'| (|tptp.'fun_app$p'| (|tptp.'fun_app$q'| |tptp.'pair$'| |tptp.'i$'|) |tptp.'j$'|))) (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| (|tptp.'tensor_op$'| |tptp.'a$'| |tptp.'b2$'|)) (|tptp.'fun_app$o'| |tptp.'ket$'| (|tptp.'fun_app$p'| (|tptp.'fun_app$q'| |tptp.'pair$'| |tptp.'i$'|) |tptp.'j$'|)))))) (not (= (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| (|tptp.'tensor_op$'| |tptp.'a$'| |tptp.'b2$'|)) (|tptp.'fun_app$o'| |tptp.'ket$'| (|tptp.'fun_app$p'| (|tptp.'fun_app$q'| |tptp.'pair$'| |tptp.'i$'|) |tptp.'j$'|))) (|tptp.'tensor_ell2$'| (|tptp.'fun_app$t'| (|tptp.'cblinfun_apply$a'| |tptp.'a$'|) (|tptp.'ket$a'| |tptp.'i$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b2$'|) (|tptp.'ket$b'| |tptp.'j$'|))))) (not (= (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| (|tptp.'tensor_op$'| |tptp.'a$'| |tptp.'b1$'|)) (|tptp.'fun_app$o'| |tptp.'ket$'| (|tptp.'fun_app$p'| (|tptp.'fun_app$q'| |tptp.'pair$'| |tptp.'i$'|) |tptp.'j$'|))) (|tptp.'tensor_ell2$'| (|tptp.'fun_app$t'| (|tptp.'cblinfun_apply$a'| |tptp.'a$'|) (|tptp.'ket$a'| |tptp.'i$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b1$'|) (|tptp.'ket$b'| |tptp.'j$'|))))) (not (= (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| (|tptp.'fun_app$m'| (|tptp.'fun_app$n'| |tptp.'plus$a'| |tptp.'b1$'|) |tptp.'b2$'|)) (|tptp.'ket$b'| |tptp.'j$'|)) (|tptp.'plus$i'| (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b1$'|) (|tptp.'ket$b'| |tptp.'j$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b2$'|) (|tptp.'ket$b'| |tptp.'j$'|))))) (not (= (|tptp.'tensor_ell2$'| (|tptp.'fun_app$t'| (|tptp.'cblinfun_apply$a'| |tptp.'a$'|) (|tptp.'ket$a'| |tptp.'i$'|)) (|tptp.'plus$i'| (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b1$'|) (|tptp.'ket$b'| |tptp.'j$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b2$'|) (|tptp.'ket$b'| |tptp.'j$'|)))) (|tptp.'plus$u'| (|tptp.'tensor_ell2$'| (|tptp.'fun_app$t'| (|tptp.'cblinfun_apply$a'| |tptp.'a$'|) (|tptp.'ket$a'| |tptp.'i$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b1$'|) (|tptp.'ket$b'| |tptp.'j$'|))) (|tptp.'tensor_ell2$'| (|tptp.'fun_app$t'| (|tptp.'cblinfun_apply$a'| |tptp.'a$'|) (|tptp.'ket$a'| |tptp.'i$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b2$'|) (|tptp.'ket$b'| |tptp.'j$'|))))))) (or (not (not (= (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| (|tptp.'tensor_op$'| |tptp.'a$'| (|tptp.'fun_app$m'| (|tptp.'fun_app$n'| |tptp.'plus$a'| |tptp.'b1$'|) |tptp.'b2$'|))) (|tptp.'fun_app$o'| |tptp.'ket$'| (|tptp.'fun_app$p'| (|tptp.'fun_app$q'| |tptp.'pair$'| |tptp.'i$'|) |tptp.'j$'|))) (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| (|tptp.'fun_app$r'| (|tptp.'fun_app$s'| |tptp.'plus$b'| (|tptp.'tensor_op$'| |tptp.'a$'| |tptp.'b1$'|)) (|tptp.'tensor_op$'| |tptp.'a$'| |tptp.'b2$'|))) (|tptp.'fun_app$o'| |tptp.'ket$'| (|tptp.'fun_app$p'| (|tptp.'fun_app$q'| |tptp.'pair$'| |tptp.'i$'|) |tptp.'j$'|)))))) (not (= (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| (|tptp.'tensor_op$'| |tptp.'a$'| (|tptp.'fun_app$m'| (|tptp.'fun_app$n'| |tptp.'plus$a'| |tptp.'b1$'|) |tptp.'b2$'|))) (|tptp.'fun_app$o'| |tptp.'ket$'| (|tptp.'fun_app$p'| (|tptp.'fun_app$q'| |tptp.'pair$'| |tptp.'i$'|) |tptp.'j$'|))) (|tptp.'tensor_ell2$'| (|tptp.'fun_app$t'| (|tptp.'cblinfun_apply$a'| |tptp.'a$'|) (|tptp.'ket$a'| |tptp.'i$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| (|tptp.'fun_app$m'| (|tptp.'fun_app$n'| |tptp.'plus$a'| |tptp.'b1$'|) |tptp.'b2$'|)) (|tptp.'ket$b'| |tptp.'j$'|))))) (not (= (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| (|tptp.'fun_app$r'| (|tptp.'fun_app$s'| |tptp.'plus$b'| (|tptp.'tensor_op$'| |tptp.'a$'| |tptp.'b1$'|)) (|tptp.'tensor_op$'| |tptp.'a$'| |tptp.'b2$'|))) (|tptp.'fun_app$o'| |tptp.'ket$'| (|tptp.'fun_app$p'| (|tptp.'fun_app$q'| |tptp.'pair$'| |tptp.'i$'|) |tptp.'j$'|))) (|tptp.'plus$u'| (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| (|tptp.'tensor_op$'| |tptp.'a$'| |tptp.'b1$'|)) (|tptp.'fun_app$o'| |tptp.'ket$'| (|tptp.'fun_app$p'| (|tptp.'fun_app$q'| |tptp.'pair$'| |tptp.'i$'|) |tptp.'j$'|))) (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| (|tptp.'tensor_op$'| |tptp.'a$'| |tptp.'b2$'|)) (|tptp.'fun_app$o'| |tptp.'ket$'| (|tptp.'fun_app$p'| (|tptp.'fun_app$q'| |tptp.'pair$'| |tptp.'i$'|) |tptp.'j$'|)))))) (not (= (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| (|tptp.'tensor_op$'| |tptp.'a$'| |tptp.'b2$'|)) (|tptp.'fun_app$o'| |tptp.'ket$'| (|tptp.'fun_app$p'| (|tptp.'fun_app$q'| |tptp.'pair$'| |tptp.'i$'|) |tptp.'j$'|))) (|tptp.'tensor_ell2$'| (|tptp.'fun_app$t'| (|tptp.'cblinfun_apply$a'| |tptp.'a$'|) (|tptp.'ket$a'| |tptp.'i$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b2$'|) (|tptp.'ket$b'| |tptp.'j$'|))))) (not (= (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| (|tptp.'tensor_op$'| |tptp.'a$'| |tptp.'b1$'|)) (|tptp.'fun_app$o'| |tptp.'ket$'| (|tptp.'fun_app$p'| (|tptp.'fun_app$q'| |tptp.'pair$'| |tptp.'i$'|) |tptp.'j$'|))) (|tptp.'tensor_ell2$'| (|tptp.'fun_app$t'| (|tptp.'cblinfun_apply$a'| |tptp.'a$'|) (|tptp.'ket$a'| |tptp.'i$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b1$'|) (|tptp.'ket$b'| |tptp.'j$'|))))) (not (= (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| (|tptp.'fun_app$m'| (|tptp.'fun_app$n'| |tptp.'plus$a'| |tptp.'b1$'|) |tptp.'b2$'|)) (|tptp.'ket$b'| |tptp.'j$'|)) (|tptp.'plus$i'| (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b1$'|) (|tptp.'ket$b'| |tptp.'j$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b2$'|) (|tptp.'ket$b'| |tptp.'j$'|))))) (not (= (|tptp.'tensor_ell2$'| (|tptp.'fun_app$t'| (|tptp.'cblinfun_apply$a'| |tptp.'a$'|) (|tptp.'ket$a'| |tptp.'i$'|)) (|tptp.'plus$i'| (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b1$'|) (|tptp.'ket$b'| |tptp.'j$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b2$'|) (|tptp.'ket$b'| |tptp.'j$'|)))) (|tptp.'plus$u'| (|tptp.'tensor_ell2$'| (|tptp.'fun_app$t'| (|tptp.'cblinfun_apply$a'| |tptp.'a$'|) (|tptp.'ket$a'| |tptp.'i$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b1$'|) (|tptp.'ket$b'| |tptp.'j$'|))) (|tptp.'tensor_ell2$'| (|tptp.'fun_app$t'| (|tptp.'cblinfun_apply$a'| |tptp.'a$'|) (|tptp.'ket$a'| |tptp.'i$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b2$'|) (|tptp.'ket$b'| |tptp.'j$'|))))))) (or (not (not (= (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| (|tptp.'tensor_op$'| |tptp.'a$'| (|tptp.'fun_app$m'| (|tptp.'fun_app$n'| |tptp.'plus$a'| |tptp.'b1$'|) |tptp.'b2$'|))) (|tptp.'fun_app$o'| |tptp.'ket$'| (|tptp.'fun_app$p'| (|tptp.'fun_app$q'| |tptp.'pair$'| |tptp.'i$'|) |tptp.'j$'|))) (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| (|tptp.'fun_app$r'| (|tptp.'fun_app$s'| |tptp.'plus$b'| (|tptp.'tensor_op$'| |tptp.'a$'| |tptp.'b1$'|)) (|tptp.'tensor_op$'| |tptp.'a$'| |tptp.'b2$'|))) (|tptp.'fun_app$o'| |tptp.'ket$'| (|tptp.'fun_app$p'| (|tptp.'fun_app$q'| |tptp.'pair$'| |tptp.'i$'|) |tptp.'j$'|)))))) (not (= (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| (|tptp.'tensor_op$'| |tptp.'a$'| (|tptp.'fun_app$m'| (|tptp.'fun_app$n'| |tptp.'plus$a'| |tptp.'b1$'|) |tptp.'b2$'|))) (|tptp.'fun_app$o'| |tptp.'ket$'| (|tptp.'fun_app$p'| (|tptp.'fun_app$q'| |tptp.'pair$'| |tptp.'i$'|) |tptp.'j$'|))) (|tptp.'tensor_ell2$'| (|tptp.'fun_app$t'| (|tptp.'cblinfun_apply$a'| |tptp.'a$'|) (|tptp.'ket$a'| |tptp.'i$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| (|tptp.'fun_app$m'| (|tptp.'fun_app$n'| |tptp.'plus$a'| |tptp.'b1$'|) |tptp.'b2$'|)) (|tptp.'ket$b'| |tptp.'j$'|))))) (not (= (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| (|tptp.'fun_app$r'| (|tptp.'fun_app$s'| |tptp.'plus$b'| (|tptp.'tensor_op$'| |tptp.'a$'| |tptp.'b1$'|)) (|tptp.'tensor_op$'| |tptp.'a$'| |tptp.'b2$'|))) (|tptp.'fun_app$o'| |tptp.'ket$'| (|tptp.'fun_app$p'| (|tptp.'fun_app$q'| |tptp.'pair$'| |tptp.'i$'|) |tptp.'j$'|))) (|tptp.'plus$u'| (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| (|tptp.'tensor_op$'| |tptp.'a$'| |tptp.'b1$'|)) (|tptp.'fun_app$o'| |tptp.'ket$'| (|tptp.'fun_app$p'| (|tptp.'fun_app$q'| |tptp.'pair$'| |tptp.'i$'|) |tptp.'j$'|))) (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| (|tptp.'tensor_op$'| |tptp.'a$'| |tptp.'b2$'|)) (|tptp.'fun_app$o'| |tptp.'ket$'| (|tptp.'fun_app$p'| (|tptp.'fun_app$q'| |tptp.'pair$'| |tptp.'i$'|) |tptp.'j$'|)))))) (not (= (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| (|tptp.'tensor_op$'| |tptp.'a$'| |tptp.'b2$'|)) (|tptp.'fun_app$o'| |tptp.'ket$'| (|tptp.'fun_app$p'| (|tptp.'fun_app$q'| |tptp.'pair$'| |tptp.'i$'|) |tptp.'j$'|))) (|tptp.'tensor_ell2$'| (|tptp.'fun_app$t'| (|tptp.'cblinfun_apply$a'| |tptp.'a$'|) (|tptp.'ket$a'| |tptp.'i$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b2$'|) (|tptp.'ket$b'| |tptp.'j$'|))))) (not (= (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| (|tptp.'tensor_op$'| |tptp.'a$'| |tptp.'b1$'|)) (|tptp.'fun_app$o'| |tptp.'ket$'| (|tptp.'fun_app$p'| (|tptp.'fun_app$q'| |tptp.'pair$'| |tptp.'i$'|) |tptp.'j$'|))) (|tptp.'tensor_ell2$'| (|tptp.'fun_app$t'| (|tptp.'cblinfun_apply$a'| |tptp.'a$'|) (|tptp.'ket$a'| |tptp.'i$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b1$'|) (|tptp.'ket$b'| |tptp.'j$'|))))) (not (= (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| (|tptp.'fun_app$m'| (|tptp.'fun_app$n'| |tptp.'plus$a'| |tptp.'b1$'|) |tptp.'b2$'|)) (|tptp.'ket$b'| |tptp.'j$'|)) (|tptp.'plus$i'| (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b1$'|) (|tptp.'ket$b'| |tptp.'j$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b2$'|) (|tptp.'ket$b'| |tptp.'j$'|))))) (not (= (|tptp.'tensor_ell2$'| (|tptp.'fun_app$t'| (|tptp.'cblinfun_apply$a'| |tptp.'a$'|) (|tptp.'ket$a'| |tptp.'i$'|)) (|tptp.'plus$i'| (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b1$'|) (|tptp.'ket$b'| |tptp.'j$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b2$'|) (|tptp.'ket$b'| |tptp.'j$'|)))) (|tptp.'plus$u'| (|tptp.'tensor_ell2$'| (|tptp.'fun_app$t'| (|tptp.'cblinfun_apply$a'| |tptp.'a$'|) (|tptp.'ket$a'| |tptp.'i$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b1$'|) (|tptp.'ket$b'| |tptp.'j$'|))) (|tptp.'tensor_ell2$'| (|tptp.'fun_app$t'| (|tptp.'cblinfun_apply$a'| |tptp.'a$'|) (|tptp.'ket$a'| |tptp.'i$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b2$'|) (|tptp.'ket$b'| |tptp.'j$'|))))))) (or (not (not (= (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| (|tptp.'tensor_op$'| |tptp.'a$'| (|tptp.'fun_app$m'| (|tptp.'fun_app$n'| |tptp.'plus$a'| |tptp.'b1$'|) |tptp.'b2$'|))) (|tptp.'fun_app$o'| |tptp.'ket$'| (|tptp.'fun_app$p'| (|tptp.'fun_app$q'| |tptp.'pair$'| |tptp.'i$'|) |tptp.'j$'|))) (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| (|tptp.'fun_app$r'| (|tptp.'fun_app$s'| |tptp.'plus$b'| (|tptp.'tensor_op$'| |tptp.'a$'| |tptp.'b1$'|)) (|tptp.'tensor_op$'| |tptp.'a$'| |tptp.'b2$'|))) (|tptp.'fun_app$o'| |tptp.'ket$'| (|tptp.'fun_app$p'| (|tptp.'fun_app$q'| |tptp.'pair$'| |tptp.'i$'|) |tptp.'j$'|)))))) (not (= (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| (|tptp.'tensor_op$'| |tptp.'a$'| (|tptp.'fun_app$m'| (|tptp.'fun_app$n'| |tptp.'plus$a'| |tptp.'b1$'|) |tptp.'b2$'|))) (|tptp.'fun_app$o'| |tptp.'ket$'| (|tptp.'fun_app$p'| (|tptp.'fun_app$q'| |tptp.'pair$'| |tptp.'i$'|) |tptp.'j$'|))) (|tptp.'tensor_ell2$'| (|tptp.'fun_app$t'| (|tptp.'cblinfun_apply$a'| |tptp.'a$'|) (|tptp.'ket$a'| |tptp.'i$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| (|tptp.'fun_app$m'| (|tptp.'fun_app$n'| |tptp.'plus$a'| |tptp.'b1$'|) |tptp.'b2$'|)) (|tptp.'ket$b'| |tptp.'j$'|))))) (not (= (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| (|tptp.'fun_app$r'| (|tptp.'fun_app$s'| |tptp.'plus$b'| (|tptp.'tensor_op$'| |tptp.'a$'| |tptp.'b1$'|)) (|tptp.'tensor_op$'| |tptp.'a$'| |tptp.'b2$'|))) (|tptp.'fun_app$o'| |tptp.'ket$'| (|tptp.'fun_app$p'| (|tptp.'fun_app$q'| |tptp.'pair$'| |tptp.'i$'|) |tptp.'j$'|))) (|tptp.'plus$u'| (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| (|tptp.'tensor_op$'| |tptp.'a$'| |tptp.'b1$'|)) (|tptp.'fun_app$o'| |tptp.'ket$'| (|tptp.'fun_app$p'| (|tptp.'fun_app$q'| |tptp.'pair$'| |tptp.'i$'|) |tptp.'j$'|))) (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| (|tptp.'tensor_op$'| |tptp.'a$'| |tptp.'b2$'|)) (|tptp.'fun_app$o'| |tptp.'ket$'| (|tptp.'fun_app$p'| (|tptp.'fun_app$q'| |tptp.'pair$'| |tptp.'i$'|) |tptp.'j$'|)))))) (not (= (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| (|tptp.'tensor_op$'| |tptp.'a$'| |tptp.'b2$'|)) (|tptp.'fun_app$o'| |tptp.'ket$'| (|tptp.'fun_app$p'| (|tptp.'fun_app$q'| |tptp.'pair$'| |tptp.'i$'|) |tptp.'j$'|))) (|tptp.'tensor_ell2$'| (|tptp.'fun_app$t'| (|tptp.'cblinfun_apply$a'| |tptp.'a$'|) (|tptp.'ket$a'| |tptp.'i$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b2$'|) (|tptp.'ket$b'| |tptp.'j$'|))))) (not (= (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| (|tptp.'tensor_op$'| |tptp.'a$'| |tptp.'b1$'|)) (|tptp.'fun_app$o'| |tptp.'ket$'| (|tptp.'fun_app$p'| (|tptp.'fun_app$q'| |tptp.'pair$'| |tptp.'i$'|) |tptp.'j$'|))) (|tptp.'tensor_ell2$'| (|tptp.'fun_app$t'| (|tptp.'cblinfun_apply$a'| |tptp.'a$'|) (|tptp.'ket$a'| |tptp.'i$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b1$'|) (|tptp.'ket$b'| |tptp.'j$'|))))) (not (= (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| (|tptp.'fun_app$m'| (|tptp.'fun_app$n'| |tptp.'plus$a'| |tptp.'b1$'|) |tptp.'b2$'|)) (|tptp.'ket$b'| |tptp.'j$'|)) (|tptp.'plus$i'| (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b1$'|) (|tptp.'ket$b'| |tptp.'j$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b2$'|) (|tptp.'ket$b'| |tptp.'j$'|))))) (not (= (|tptp.'tensor_ell2$'| (|tptp.'fun_app$t'| (|tptp.'cblinfun_apply$a'| |tptp.'a$'|) (|tptp.'ket$a'| |tptp.'i$'|)) (|tptp.'plus$i'| (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b1$'|) (|tptp.'ket$b'| |tptp.'j$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b2$'|) (|tptp.'ket$b'| |tptp.'j$'|)))) (|tptp.'plus$u'| (|tptp.'tensor_ell2$'| (|tptp.'fun_app$t'| (|tptp.'cblinfun_apply$a'| |tptp.'a$'|) (|tptp.'ket$a'| |tptp.'i$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b1$'|) (|tptp.'ket$b'| |tptp.'j$'|))) (|tptp.'tensor_ell2$'| (|tptp.'fun_app$t'| (|tptp.'cblinfun_apply$a'| |tptp.'a$'|) (|tptp.'ket$a'| |tptp.'i$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b2$'|) (|tptp.'ket$b'| |tptp.'j$'|))))))) (or (not (not (= (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| (|tptp.'tensor_op$'| |tptp.'a$'| (|tptp.'fun_app$m'| (|tptp.'fun_app$n'| |tptp.'plus$a'| |tptp.'b1$'|) |tptp.'b2$'|))) (|tptp.'fun_app$o'| |tptp.'ket$'| (|tptp.'fun_app$p'| (|tptp.'fun_app$q'| |tptp.'pair$'| |tptp.'i$'|) |tptp.'j$'|))) (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| (|tptp.'fun_app$r'| (|tptp.'fun_app$s'| |tptp.'plus$b'| (|tptp.'tensor_op$'| |tptp.'a$'| |tptp.'b1$'|)) (|tptp.'tensor_op$'| |tptp.'a$'| |tptp.'b2$'|))) (|tptp.'fun_app$o'| |tptp.'ket$'| (|tptp.'fun_app$p'| (|tptp.'fun_app$q'| |tptp.'pair$'| |tptp.'i$'|) |tptp.'j$'|)))))) (not (= (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| (|tptp.'tensor_op$'| |tptp.'a$'| (|tptp.'fun_app$m'| (|tptp.'fun_app$n'| |tptp.'plus$a'| |tptp.'b1$'|) |tptp.'b2$'|))) (|tptp.'fun_app$o'| |tptp.'ket$'| (|tptp.'fun_app$p'| (|tptp.'fun_app$q'| |tptp.'pair$'| |tptp.'i$'|) |tptp.'j$'|))) (|tptp.'tensor_ell2$'| (|tptp.'fun_app$t'| (|tptp.'cblinfun_apply$a'| |tptp.'a$'|) (|tptp.'ket$a'| |tptp.'i$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| (|tptp.'fun_app$m'| (|tptp.'fun_app$n'| |tptp.'plus$a'| |tptp.'b1$'|) |tptp.'b2$'|)) (|tptp.'ket$b'| |tptp.'j$'|))))) (not (= (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| (|tptp.'fun_app$r'| (|tptp.'fun_app$s'| |tptp.'plus$b'| (|tptp.'tensor_op$'| |tptp.'a$'| |tptp.'b1$'|)) (|tptp.'tensor_op$'| |tptp.'a$'| |tptp.'b2$'|))) (|tptp.'fun_app$o'| |tptp.'ket$'| (|tptp.'fun_app$p'| (|tptp.'fun_app$q'| |tptp.'pair$'| |tptp.'i$'|) |tptp.'j$'|))) (|tptp.'plus$u'| (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| (|tptp.'tensor_op$'| |tptp.'a$'| |tptp.'b1$'|)) (|tptp.'fun_app$o'| |tptp.'ket$'| (|tptp.'fun_app$p'| (|tptp.'fun_app$q'| |tptp.'pair$'| |tptp.'i$'|) |tptp.'j$'|))) (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| (|tptp.'tensor_op$'| |tptp.'a$'| |tptp.'b2$'|)) (|tptp.'fun_app$o'| |tptp.'ket$'| (|tptp.'fun_app$p'| (|tptp.'fun_app$q'| |tptp.'pair$'| |tptp.'i$'|) |tptp.'j$'|)))))) (not (= (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| (|tptp.'tensor_op$'| |tptp.'a$'| |tptp.'b2$'|)) (|tptp.'fun_app$o'| |tptp.'ket$'| (|tptp.'fun_app$p'| (|tptp.'fun_app$q'| |tptp.'pair$'| |tptp.'i$'|) |tptp.'j$'|))) (|tptp.'tensor_ell2$'| (|tptp.'fun_app$t'| (|tptp.'cblinfun_apply$a'| |tptp.'a$'|) (|tptp.'ket$a'| |tptp.'i$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b2$'|) (|tptp.'ket$b'| |tptp.'j$'|))))) (not (= (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| (|tptp.'tensor_op$'| |tptp.'a$'| |tptp.'b1$'|)) (|tptp.'fun_app$o'| |tptp.'ket$'| (|tptp.'fun_app$p'| (|tptp.'fun_app$q'| |tptp.'pair$'| |tptp.'i$'|) |tptp.'j$'|))) (|tptp.'tensor_ell2$'| (|tptp.'fun_app$t'| (|tptp.'cblinfun_apply$a'| |tptp.'a$'|) (|tptp.'ket$a'| |tptp.'i$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b1$'|) (|tptp.'ket$b'| |tptp.'j$'|))))) (not (= (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| (|tptp.'fun_app$m'| (|tptp.'fun_app$n'| |tptp.'plus$a'| |tptp.'b1$'|) |tptp.'b2$'|)) (|tptp.'ket$b'| |tptp.'j$'|)) (|tptp.'plus$i'| (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b1$'|) (|tptp.'ket$b'| |tptp.'j$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b2$'|) (|tptp.'ket$b'| |tptp.'j$'|))))) (not (= (|tptp.'tensor_ell2$'| (|tptp.'fun_app$t'| (|tptp.'cblinfun_apply$a'| |tptp.'a$'|) (|tptp.'ket$a'| |tptp.'i$'|)) (|tptp.'plus$i'| (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b1$'|) (|tptp.'ket$b'| |tptp.'j$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b2$'|) (|tptp.'ket$b'| |tptp.'j$'|)))) (|tptp.'plus$u'| (|tptp.'tensor_ell2$'| (|tptp.'fun_app$t'| (|tptp.'cblinfun_apply$a'| |tptp.'a$'|) (|tptp.'ket$a'| |tptp.'i$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b1$'|) (|tptp.'ket$b'| |tptp.'j$'|))) (|tptp.'tensor_ell2$'| (|tptp.'fun_app$t'| (|tptp.'cblinfun_apply$a'| |tptp.'a$'|) (|tptp.'ket$a'| |tptp.'i$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b2$'|) (|tptp.'ket$b'| |tptp.'j$'|))))))) (or (not (not (= (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| (|tptp.'tensor_op$'| |tptp.'a$'| (|tptp.'fun_app$m'| (|tptp.'fun_app$n'| |tptp.'plus$a'| |tptp.'b1$'|) |tptp.'b2$'|))) (|tptp.'fun_app$o'| |tptp.'ket$'| (|tptp.'fun_app$p'| (|tptp.'fun_app$q'| |tptp.'pair$'| |tptp.'i$'|) |tptp.'j$'|))) (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| (|tptp.'fun_app$r'| (|tptp.'fun_app$s'| |tptp.'plus$b'| (|tptp.'tensor_op$'| |tptp.'a$'| |tptp.'b1$'|)) (|tptp.'tensor_op$'| |tptp.'a$'| |tptp.'b2$'|))) (|tptp.'fun_app$o'| |tptp.'ket$'| (|tptp.'fun_app$p'| (|tptp.'fun_app$q'| |tptp.'pair$'| |tptp.'i$'|) |tptp.'j$'|)))))) (not (= (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| (|tptp.'tensor_op$'| |tptp.'a$'| (|tptp.'fun_app$m'| (|tptp.'fun_app$n'| |tptp.'plus$a'| |tptp.'b1$'|) |tptp.'b2$'|))) (|tptp.'fun_app$o'| |tptp.'ket$'| (|tptp.'fun_app$p'| (|tptp.'fun_app$q'| |tptp.'pair$'| |tptp.'i$'|) |tptp.'j$'|))) (|tptp.'tensor_ell2$'| (|tptp.'fun_app$t'| (|tptp.'cblinfun_apply$a'| |tptp.'a$'|) (|tptp.'ket$a'| |tptp.'i$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| (|tptp.'fun_app$m'| (|tptp.'fun_app$n'| |tptp.'plus$a'| |tptp.'b1$'|) |tptp.'b2$'|)) (|tptp.'ket$b'| |tptp.'j$'|))))) (not (= (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| (|tptp.'fun_app$r'| (|tptp.'fun_app$s'| |tptp.'plus$b'| (|tptp.'tensor_op$'| |tptp.'a$'| |tptp.'b1$'|)) (|tptp.'tensor_op$'| |tptp.'a$'| |tptp.'b2$'|))) (|tptp.'fun_app$o'| |tptp.'ket$'| (|tptp.'fun_app$p'| (|tptp.'fun_app$q'| |tptp.'pair$'| |tptp.'i$'|) |tptp.'j$'|))) (|tptp.'plus$u'| (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| (|tptp.'tensor_op$'| |tptp.'a$'| |tptp.'b1$'|)) (|tptp.'fun_app$o'| |tptp.'ket$'| (|tptp.'fun_app$p'| (|tptp.'fun_app$q'| |tptp.'pair$'| |tptp.'i$'|) |tptp.'j$'|))) (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| (|tptp.'tensor_op$'| |tptp.'a$'| |tptp.'b2$'|)) (|tptp.'fun_app$o'| |tptp.'ket$'| (|tptp.'fun_app$p'| (|tptp.'fun_app$q'| |tptp.'pair$'| |tptp.'i$'|) |tptp.'j$'|)))))) (not (= (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| (|tptp.'tensor_op$'| |tptp.'a$'| |tptp.'b2$'|)) (|tptp.'fun_app$o'| |tptp.'ket$'| (|tptp.'fun_app$p'| (|tptp.'fun_app$q'| |tptp.'pair$'| |tptp.'i$'|) |tptp.'j$'|))) (|tptp.'tensor_ell2$'| (|tptp.'fun_app$t'| (|tptp.'cblinfun_apply$a'| |tptp.'a$'|) (|tptp.'ket$a'| |tptp.'i$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b2$'|) (|tptp.'ket$b'| |tptp.'j$'|))))) (not (= (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| (|tptp.'tensor_op$'| |tptp.'a$'| |tptp.'b1$'|)) (|tptp.'fun_app$o'| |tptp.'ket$'| (|tptp.'fun_app$p'| (|tptp.'fun_app$q'| |tptp.'pair$'| |tptp.'i$'|) |tptp.'j$'|))) (|tptp.'tensor_ell2$'| (|tptp.'fun_app$t'| (|tptp.'cblinfun_apply$a'| |tptp.'a$'|) (|tptp.'ket$a'| |tptp.'i$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b1$'|) (|tptp.'ket$b'| |tptp.'j$'|))))) (not (= (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| (|tptp.'fun_app$m'| (|tptp.'fun_app$n'| |tptp.'plus$a'| |tptp.'b1$'|) |tptp.'b2$'|)) (|tptp.'ket$b'| |tptp.'j$'|)) (|tptp.'plus$i'| (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b1$'|) (|tptp.'ket$b'| |tptp.'j$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b2$'|) (|tptp.'ket$b'| |tptp.'j$'|))))) (not (= (|tptp.'tensor_ell2$'| (|tptp.'fun_app$t'| (|tptp.'cblinfun_apply$a'| |tptp.'a$'|) (|tptp.'ket$a'| |tptp.'i$'|)) (|tptp.'plus$i'| (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b1$'|) (|tptp.'ket$b'| |tptp.'j$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b2$'|) (|tptp.'ket$b'| |tptp.'j$'|)))) (|tptp.'plus$u'| (|tptp.'tensor_ell2$'| (|tptp.'fun_app$t'| (|tptp.'cblinfun_apply$a'| |tptp.'a$'|) (|tptp.'ket$a'| |tptp.'i$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b1$'|) (|tptp.'ket$b'| |tptp.'j$'|))) (|tptp.'tensor_ell2$'| (|tptp.'fun_app$t'| (|tptp.'cblinfun_apply$a'| |tptp.'a$'|) (|tptp.'ket$a'| |tptp.'i$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b2$'|) (|tptp.'ket$b'| |tptp.'j$'|))))))) (or (not (not (= (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| (|tptp.'tensor_op$'| |tptp.'a$'| (|tptp.'fun_app$m'| (|tptp.'fun_app$n'| |tptp.'plus$a'| |tptp.'b1$'|) |tptp.'b2$'|))) (|tptp.'fun_app$o'| |tptp.'ket$'| (|tptp.'fun_app$p'| (|tptp.'fun_app$q'| |tptp.'pair$'| |tptp.'i$'|) |tptp.'j$'|))) (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| (|tptp.'fun_app$r'| (|tptp.'fun_app$s'| |tptp.'plus$b'| (|tptp.'tensor_op$'| |tptp.'a$'| |tptp.'b1$'|)) (|tptp.'tensor_op$'| |tptp.'a$'| |tptp.'b2$'|))) (|tptp.'fun_app$o'| |tptp.'ket$'| (|tptp.'fun_app$p'| (|tptp.'fun_app$q'| |tptp.'pair$'| |tptp.'i$'|) |tptp.'j$'|)))))) (not (= (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| (|tptp.'tensor_op$'| |tptp.'a$'| (|tptp.'fun_app$m'| (|tptp.'fun_app$n'| |tptp.'plus$a'| |tptp.'b1$'|) |tptp.'b2$'|))) (|tptp.'fun_app$o'| |tptp.'ket$'| (|tptp.'fun_app$p'| (|tptp.'fun_app$q'| |tptp.'pair$'| |tptp.'i$'|) |tptp.'j$'|))) (|tptp.'tensor_ell2$'| (|tptp.'fun_app$t'| (|tptp.'cblinfun_apply$a'| |tptp.'a$'|) (|tptp.'ket$a'| |tptp.'i$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| (|tptp.'fun_app$m'| (|tptp.'fun_app$n'| |tptp.'plus$a'| |tptp.'b1$'|) |tptp.'b2$'|)) (|tptp.'ket$b'| |tptp.'j$'|))))) (not (= (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| (|tptp.'fun_app$r'| (|tptp.'fun_app$s'| |tptp.'plus$b'| (|tptp.'tensor_op$'| |tptp.'a$'| |tptp.'b1$'|)) (|tptp.'tensor_op$'| |tptp.'a$'| |tptp.'b2$'|))) (|tptp.'fun_app$o'| |tptp.'ket$'| (|tptp.'fun_app$p'| (|tptp.'fun_app$q'| |tptp.'pair$'| |tptp.'i$'|) |tptp.'j$'|))) (|tptp.'plus$u'| (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| (|tptp.'tensor_op$'| |tptp.'a$'| |tptp.'b1$'|)) (|tptp.'fun_app$o'| |tptp.'ket$'| (|tptp.'fun_app$p'| (|tptp.'fun_app$q'| |tptp.'pair$'| |tptp.'i$'|) |tptp.'j$'|))) (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| (|tptp.'tensor_op$'| |tptp.'a$'| |tptp.'b2$'|)) (|tptp.'fun_app$o'| |tptp.'ket$'| (|tptp.'fun_app$p'| (|tptp.'fun_app$q'| |tptp.'pair$'| |tptp.'i$'|) |tptp.'j$'|)))))) (not (= (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| (|tptp.'tensor_op$'| |tptp.'a$'| |tptp.'b2$'|)) (|tptp.'fun_app$o'| |tptp.'ket$'| (|tptp.'fun_app$p'| (|tptp.'fun_app$q'| |tptp.'pair$'| |tptp.'i$'|) |tptp.'j$'|))) (|tptp.'tensor_ell2$'| (|tptp.'fun_app$t'| (|tptp.'cblinfun_apply$a'| |tptp.'a$'|) (|tptp.'ket$a'| |tptp.'i$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b2$'|) (|tptp.'ket$b'| |tptp.'j$'|))))) (not (= (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| (|tptp.'tensor_op$'| |tptp.'a$'| |tptp.'b1$'|)) (|tptp.'fun_app$o'| |tptp.'ket$'| (|tptp.'fun_app$p'| (|tptp.'fun_app$q'| |tptp.'pair$'| |tptp.'i$'|) |tptp.'j$'|))) (|tptp.'tensor_ell2$'| (|tptp.'fun_app$t'| (|tptp.'cblinfun_apply$a'| |tptp.'a$'|) (|tptp.'ket$a'| |tptp.'i$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b1$'|) (|tptp.'ket$b'| |tptp.'j$'|))))) (not (= (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| (|tptp.'fun_app$m'| (|tptp.'fun_app$n'| |tptp.'plus$a'| |tptp.'b1$'|) |tptp.'b2$'|)) (|tptp.'ket$b'| |tptp.'j$'|)) (|tptp.'plus$i'| (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b1$'|) (|tptp.'ket$b'| |tptp.'j$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b2$'|) (|tptp.'ket$b'| |tptp.'j$'|))))) (not (= (|tptp.'tensor_ell2$'| (|tptp.'fun_app$t'| (|tptp.'cblinfun_apply$a'| |tptp.'a$'|) (|tptp.'ket$a'| |tptp.'i$'|)) (|tptp.'plus$i'| (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b1$'|) (|tptp.'ket$b'| |tptp.'j$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b2$'|) (|tptp.'ket$b'| |tptp.'j$'|)))) (|tptp.'plus$u'| (|tptp.'tensor_ell2$'| (|tptp.'fun_app$t'| (|tptp.'cblinfun_apply$a'| |tptp.'a$'|) (|tptp.'ket$a'| |tptp.'i$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b1$'|) (|tptp.'ket$b'| |tptp.'j$'|))) (|tptp.'tensor_ell2$'| (|tptp.'fun_app$t'| (|tptp.'cblinfun_apply$a'| |tptp.'a$'|) (|tptp.'ket$a'| |tptp.'i$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b2$'|) (|tptp.'ket$b'| |tptp.'j$'|)))))))) :rule resolution :premises (t60 t61 t62 t63 t64 t65 t66 t67))
% 1.10/1.28 (step t69 (cl (or (not (not (= (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| (|tptp.'tensor_op$'| |tptp.'a$'| (|tptp.'fun_app$m'| (|tptp.'fun_app$n'| |tptp.'plus$a'| |tptp.'b1$'|) |tptp.'b2$'|))) (|tptp.'fun_app$o'| |tptp.'ket$'| (|tptp.'fun_app$p'| (|tptp.'fun_app$q'| |tptp.'pair$'| |tptp.'i$'|) |tptp.'j$'|))) (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| (|tptp.'fun_app$r'| (|tptp.'fun_app$s'| |tptp.'plus$b'| (|tptp.'tensor_op$'| |tptp.'a$'| |tptp.'b1$'|)) (|tptp.'tensor_op$'| |tptp.'a$'| |tptp.'b2$'|))) (|tptp.'fun_app$o'| |tptp.'ket$'| (|tptp.'fun_app$p'| (|tptp.'fun_app$q'| |tptp.'pair$'| |tptp.'i$'|) |tptp.'j$'|)))))) (not (= (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| (|tptp.'tensor_op$'| |tptp.'a$'| (|tptp.'fun_app$m'| (|tptp.'fun_app$n'| |tptp.'plus$a'| |tptp.'b1$'|) |tptp.'b2$'|))) (|tptp.'fun_app$o'| |tptp.'ket$'| (|tptp.'fun_app$p'| (|tptp.'fun_app$q'| |tptp.'pair$'| |tptp.'i$'|) |tptp.'j$'|))) (|tptp.'tensor_ell2$'| (|tptp.'fun_app$t'| (|tptp.'cblinfun_apply$a'| |tptp.'a$'|) (|tptp.'ket$a'| |tptp.'i$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| (|tptp.'fun_app$m'| (|tptp.'fun_app$n'| |tptp.'plus$a'| |tptp.'b1$'|) |tptp.'b2$'|)) (|tptp.'ket$b'| |tptp.'j$'|))))) (not (= (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| (|tptp.'fun_app$r'| (|tptp.'fun_app$s'| |tptp.'plus$b'| (|tptp.'tensor_op$'| |tptp.'a$'| |tptp.'b1$'|)) (|tptp.'tensor_op$'| |tptp.'a$'| |tptp.'b2$'|))) (|tptp.'fun_app$o'| |tptp.'ket$'| (|tptp.'fun_app$p'| (|tptp.'fun_app$q'| |tptp.'pair$'| |tptp.'i$'|) |tptp.'j$'|))) (|tptp.'plus$u'| (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| (|tptp.'tensor_op$'| |tptp.'a$'| |tptp.'b1$'|)) (|tptp.'fun_app$o'| |tptp.'ket$'| (|tptp.'fun_app$p'| (|tptp.'fun_app$q'| |tptp.'pair$'| |tptp.'i$'|) |tptp.'j$'|))) (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| (|tptp.'tensor_op$'| |tptp.'a$'| |tptp.'b2$'|)) (|tptp.'fun_app$o'| |tptp.'ket$'| (|tptp.'fun_app$p'| (|tptp.'fun_app$q'| |tptp.'pair$'| |tptp.'i$'|) |tptp.'j$'|)))))) (not (= (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| (|tptp.'tensor_op$'| |tptp.'a$'| |tptp.'b2$'|)) (|tptp.'fun_app$o'| |tptp.'ket$'| (|tptp.'fun_app$p'| (|tptp.'fun_app$q'| |tptp.'pair$'| |tptp.'i$'|) |tptp.'j$'|))) (|tptp.'tensor_ell2$'| (|tptp.'fun_app$t'| (|tptp.'cblinfun_apply$a'| |tptp.'a$'|) (|tptp.'ket$a'| |tptp.'i$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b2$'|) (|tptp.'ket$b'| |tptp.'j$'|))))) (not (= (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| (|tptp.'tensor_op$'| |tptp.'a$'| |tptp.'b1$'|)) (|tptp.'fun_app$o'| |tptp.'ket$'| (|tptp.'fun_app$p'| (|tptp.'fun_app$q'| |tptp.'pair$'| |tptp.'i$'|) |tptp.'j$'|))) (|tptp.'tensor_ell2$'| (|tptp.'fun_app$t'| (|tptp.'cblinfun_apply$a'| |tptp.'a$'|) (|tptp.'ket$a'| |tptp.'i$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b1$'|) (|tptp.'ket$b'| |tptp.'j$'|))))) (not (= (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| (|tptp.'fun_app$m'| (|tptp.'fun_app$n'| |tptp.'plus$a'| |tptp.'b1$'|) |tptp.'b2$'|)) (|tptp.'ket$b'| |tptp.'j$'|)) (|tptp.'plus$i'| (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b1$'|) (|tptp.'ket$b'| |tptp.'j$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b2$'|) (|tptp.'ket$b'| |tptp.'j$'|))))) (not (= (|tptp.'tensor_ell2$'| (|tptp.'fun_app$t'| (|tptp.'cblinfun_apply$a'| |tptp.'a$'|) (|tptp.'ket$a'| |tptp.'i$'|)) (|tptp.'plus$i'| (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b1$'|) (|tptp.'ket$b'| |tptp.'j$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b2$'|) (|tptp.'ket$b'| |tptp.'j$'|)))) (|tptp.'plus$u'| (|tptp.'tensor_ell2$'| (|tptp.'fun_app$t'| (|tptp.'cblinfun_apply$a'| |tptp.'a$'|) (|tptp.'ket$a'| |tptp.'i$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b1$'|) (|tptp.'ket$b'| |tptp.'j$'|))) (|tptp.'tensor_ell2$'| (|tptp.'fun_app$t'| (|tptp.'cblinfun_apply$a'| |tptp.'a$'|) (|tptp.'ket$a'| |tptp.'i$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b2$'|) (|tptp.'ket$b'| |tptp.'j$'|)))))))) :rule contraction :premises (t68))
% 1.10/1.28 (step t70 (cl (or (= (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| (|tptp.'tensor_op$'| |tptp.'a$'| (|tptp.'fun_app$m'| (|tptp.'fun_app$n'| |tptp.'plus$a'| |tptp.'b1$'|) |tptp.'b2$'|))) (|tptp.'fun_app$o'| |tptp.'ket$'| (|tptp.'fun_app$p'| (|tptp.'fun_app$q'| |tptp.'pair$'| |tptp.'i$'|) |tptp.'j$'|))) (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| (|tptp.'fun_app$r'| (|tptp.'fun_app$s'| |tptp.'plus$b'| (|tptp.'tensor_op$'| |tptp.'a$'| |tptp.'b1$'|)) (|tptp.'tensor_op$'| |tptp.'a$'| |tptp.'b2$'|))) (|tptp.'fun_app$o'| |tptp.'ket$'| (|tptp.'fun_app$p'| (|tptp.'fun_app$q'| |tptp.'pair$'| |tptp.'i$'|) |tptp.'j$'|)))) (not (= (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| (|tptp.'tensor_op$'| |tptp.'a$'| (|tptp.'fun_app$m'| (|tptp.'fun_app$n'| |tptp.'plus$a'| |tptp.'b1$'|) |tptp.'b2$'|))) (|tptp.'fun_app$o'| |tptp.'ket$'| (|tptp.'fun_app$p'| (|tptp.'fun_app$q'| |tptp.'pair$'| |tptp.'i$'|) |tptp.'j$'|))) (|tptp.'tensor_ell2$'| (|tptp.'fun_app$t'| (|tptp.'cblinfun_apply$a'| |tptp.'a$'|) (|tptp.'ket$a'| |tptp.'i$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| (|tptp.'fun_app$m'| (|tptp.'fun_app$n'| |tptp.'plus$a'| |tptp.'b1$'|) |tptp.'b2$'|)) (|tptp.'ket$b'| |tptp.'j$'|))))) (not (= (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| (|tptp.'fun_app$r'| (|tptp.'fun_app$s'| |tptp.'plus$b'| (|tptp.'tensor_op$'| |tptp.'a$'| |tptp.'b1$'|)) (|tptp.'tensor_op$'| |tptp.'a$'| |tptp.'b2$'|))) (|tptp.'fun_app$o'| |tptp.'ket$'| (|tptp.'fun_app$p'| (|tptp.'fun_app$q'| |tptp.'pair$'| |tptp.'i$'|) |tptp.'j$'|))) (|tptp.'plus$u'| (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| (|tptp.'tensor_op$'| |tptp.'a$'| |tptp.'b1$'|)) (|tptp.'fun_app$o'| |tptp.'ket$'| (|tptp.'fun_app$p'| (|tptp.'fun_app$q'| |tptp.'pair$'| |tptp.'i$'|) |tptp.'j$'|))) (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| (|tptp.'tensor_op$'| |tptp.'a$'| |tptp.'b2$'|)) (|tptp.'fun_app$o'| |tptp.'ket$'| (|tptp.'fun_app$p'| (|tptp.'fun_app$q'| |tptp.'pair$'| |tptp.'i$'|) |tptp.'j$'|)))))) (not (= (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| (|tptp.'tensor_op$'| |tptp.'a$'| |tptp.'b2$'|)) (|tptp.'fun_app$o'| |tptp.'ket$'| (|tptp.'fun_app$p'| (|tptp.'fun_app$q'| |tptp.'pair$'| |tptp.'i$'|) |tptp.'j$'|))) (|tptp.'tensor_ell2$'| (|tptp.'fun_app$t'| (|tptp.'cblinfun_apply$a'| |tptp.'a$'|) (|tptp.'ket$a'| |tptp.'i$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b2$'|) (|tptp.'ket$b'| |tptp.'j$'|))))) (not (= (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| (|tptp.'tensor_op$'| |tptp.'a$'| |tptp.'b1$'|)) (|tptp.'fun_app$o'| |tptp.'ket$'| (|tptp.'fun_app$p'| (|tptp.'fun_app$q'| |tptp.'pair$'| |tptp.'i$'|) |tptp.'j$'|))) (|tptp.'tensor_ell2$'| (|tptp.'fun_app$t'| (|tptp.'cblinfun_apply$a'| |tptp.'a$'|) (|tptp.'ket$a'| |tptp.'i$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b1$'|) (|tptp.'ket$b'| |tptp.'j$'|))))) (not (= (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| (|tptp.'fun_app$m'| (|tptp.'fun_app$n'| |tptp.'plus$a'| |tptp.'b1$'|) |tptp.'b2$'|)) (|tptp.'ket$b'| |tptp.'j$'|)) (|tptp.'plus$i'| (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b1$'|) (|tptp.'ket$b'| |tptp.'j$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b2$'|) (|tptp.'ket$b'| |tptp.'j$'|))))) (not (= (|tptp.'tensor_ell2$'| (|tptp.'fun_app$t'| (|tptp.'cblinfun_apply$a'| |tptp.'a$'|) (|tptp.'ket$a'| |tptp.'i$'|)) (|tptp.'plus$i'| (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b1$'|) (|tptp.'ket$b'| |tptp.'j$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b2$'|) (|tptp.'ket$b'| |tptp.'j$'|)))) (|tptp.'plus$u'| (|tptp.'tensor_ell2$'| (|tptp.'fun_app$t'| (|tptp.'cblinfun_apply$a'| |tptp.'a$'|) (|tptp.'ket$a'| |tptp.'i$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b1$'|) (|tptp.'ket$b'| |tptp.'j$'|))) (|tptp.'tensor_ell2$'| (|tptp.'fun_app$t'| (|tptp.'cblinfun_apply$a'| |tptp.'a$'|) (|tptp.'ket$a'| |tptp.'i$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b2$'|) (|tptp.'ket$b'| |tptp.'j$'|)))))))) :rule resolution :premises (t1 t18 t69))
% 1.10/1.28 (step t71 (cl (= (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| (|tptp.'tensor_op$'| |tptp.'a$'| (|tptp.'fun_app$m'| (|tptp.'fun_app$n'| |tptp.'plus$a'| |tptp.'b1$'|) |tptp.'b2$'|))) (|tptp.'fun_app$o'| |tptp.'ket$'| (|tptp.'fun_app$p'| (|tptp.'fun_app$q'| |tptp.'pair$'| |tptp.'i$'|) |tptp.'j$'|))) (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| (|tptp.'fun_app$r'| (|tptp.'fun_app$s'| |tptp.'plus$b'| (|tptp.'tensor_op$'| |tptp.'a$'| |tptp.'b1$'|)) (|tptp.'tensor_op$'| |tptp.'a$'| |tptp.'b2$'|))) (|tptp.'fun_app$o'| |tptp.'ket$'| (|tptp.'fun_app$p'| (|tptp.'fun_app$q'| |tptp.'pair$'| |tptp.'i$'|) |tptp.'j$'|)))) (not (= (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| (|tptp.'tensor_op$'| |tptp.'a$'| (|tptp.'fun_app$m'| (|tptp.'fun_app$n'| |tptp.'plus$a'| |tptp.'b1$'|) |tptp.'b2$'|))) (|tptp.'fun_app$o'| |tptp.'ket$'| (|tptp.'fun_app$p'| (|tptp.'fun_app$q'| |tptp.'pair$'| |tptp.'i$'|) |tptp.'j$'|))) (|tptp.'tensor_ell2$'| (|tptp.'fun_app$t'| (|tptp.'cblinfun_apply$a'| |tptp.'a$'|) (|tptp.'ket$a'| |tptp.'i$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| (|tptp.'fun_app$m'| (|tptp.'fun_app$n'| |tptp.'plus$a'| |tptp.'b1$'|) |tptp.'b2$'|)) (|tptp.'ket$b'| |tptp.'j$'|))))) (not (= (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| (|tptp.'fun_app$r'| (|tptp.'fun_app$s'| |tptp.'plus$b'| (|tptp.'tensor_op$'| |tptp.'a$'| |tptp.'b1$'|)) (|tptp.'tensor_op$'| |tptp.'a$'| |tptp.'b2$'|))) (|tptp.'fun_app$o'| |tptp.'ket$'| (|tptp.'fun_app$p'| (|tptp.'fun_app$q'| |tptp.'pair$'| |tptp.'i$'|) |tptp.'j$'|))) (|tptp.'plus$u'| (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| (|tptp.'tensor_op$'| |tptp.'a$'| |tptp.'b1$'|)) (|tptp.'fun_app$o'| |tptp.'ket$'| (|tptp.'fun_app$p'| (|tptp.'fun_app$q'| |tptp.'pair$'| |tptp.'i$'|) |tptp.'j$'|))) (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| (|tptp.'tensor_op$'| |tptp.'a$'| |tptp.'b2$'|)) (|tptp.'fun_app$o'| |tptp.'ket$'| (|tptp.'fun_app$p'| (|tptp.'fun_app$q'| |tptp.'pair$'| |tptp.'i$'|) |tptp.'j$'|)))))) (not (= (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| (|tptp.'tensor_op$'| |tptp.'a$'| |tptp.'b2$'|)) (|tptp.'fun_app$o'| |tptp.'ket$'| (|tptp.'fun_app$p'| (|tptp.'fun_app$q'| |tptp.'pair$'| |tptp.'i$'|) |tptp.'j$'|))) (|tptp.'tensor_ell2$'| (|tptp.'fun_app$t'| (|tptp.'cblinfun_apply$a'| |tptp.'a$'|) (|tptp.'ket$a'| |tptp.'i$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b2$'|) (|tptp.'ket$b'| |tptp.'j$'|))))) (not (= (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| (|tptp.'tensor_op$'| |tptp.'a$'| |tptp.'b1$'|)) (|tptp.'fun_app$o'| |tptp.'ket$'| (|tptp.'fun_app$p'| (|tptp.'fun_app$q'| |tptp.'pair$'| |tptp.'i$'|) |tptp.'j$'|))) (|tptp.'tensor_ell2$'| (|tptp.'fun_app$t'| (|tptp.'cblinfun_apply$a'| |tptp.'a$'|) (|tptp.'ket$a'| |tptp.'i$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b1$'|) (|tptp.'ket$b'| |tptp.'j$'|))))) (not (= (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| (|tptp.'fun_app$m'| (|tptp.'fun_app$n'| |tptp.'plus$a'| |tptp.'b1$'|) |tptp.'b2$'|)) (|tptp.'ket$b'| |tptp.'j$'|)) (|tptp.'plus$i'| (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b1$'|) (|tptp.'ket$b'| |tptp.'j$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b2$'|) (|tptp.'ket$b'| |tptp.'j$'|))))) (not (= (|tptp.'tensor_ell2$'| (|tptp.'fun_app$t'| (|tptp.'cblinfun_apply$a'| |tptp.'a$'|) (|tptp.'ket$a'| |tptp.'i$'|)) (|tptp.'plus$i'| (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b1$'|) (|tptp.'ket$b'| |tptp.'j$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b2$'|) (|tptp.'ket$b'| |tptp.'j$'|)))) (|tptp.'plus$u'| (|tptp.'tensor_ell2$'| (|tptp.'fun_app$t'| (|tptp.'cblinfun_apply$a'| |tptp.'a$'|) (|tptp.'ket$a'| |tptp.'i$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b1$'|) (|tptp.'ket$b'| |tptp.'j$'|))) (|tptp.'tensor_ell2$'| (|tptp.'fun_app$t'| (|tptp.'cblinfun_apply$a'| |tptp.'a$'|) (|tptp.'ket$a'| |tptp.'i$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b2$'|) (|tptp.'ket$b'| |tptp.'j$'|))))))) :rule or :premises (t70))
% 1.10/1.28 (step t72 (cl (=> (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)))) (= (|tptp.'tensor_ell2$'| (|tptp.'fun_app$t'| (|tptp.'cblinfun_apply$a'| |tptp.'a$'|) (|tptp.'ket$a'| |tptp.'i$'|)) (|tptp.'plus$i'| (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b1$'|) (|tptp.'ket$b'| |tptp.'j$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b2$'|) (|tptp.'ket$b'| |tptp.'j$'|)))) (|tptp.'plus$u'| (|tptp.'tensor_ell2$'| (|tptp.'fun_app$t'| (|tptp.'cblinfun_apply$a'| |tptp.'a$'|) (|tptp.'ket$a'| |tptp.'i$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b1$'|) (|tptp.'ket$b'| |tptp.'j$'|))) (|tptp.'tensor_ell2$'| (|tptp.'fun_app$t'| (|tptp.'cblinfun_apply$a'| |tptp.'a$'|) (|tptp.'ket$a'| |tptp.'i$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b2$'|) (|tptp.'ket$b'| |tptp.'j$'|)))))) (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))))) :rule implies_neg1)
% 1.10/1.28 (anchor :step t73)
% 1.10/1.28 (assume t73.a0 (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)))))
% 1.10/1.28 (step t73.t1 (cl (or (not (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))))) (= (|tptp.'tensor_ell2$'| (|tptp.'fun_app$t'| (|tptp.'cblinfun_apply$a'| |tptp.'a$'|) (|tptp.'ket$a'| |tptp.'i$'|)) (|tptp.'plus$i'| (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b1$'|) (|tptp.'ket$b'| |tptp.'j$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b2$'|) (|tptp.'ket$b'| |tptp.'j$'|)))) (|tptp.'plus$u'| (|tptp.'tensor_ell2$'| (|tptp.'fun_app$t'| (|tptp.'cblinfun_apply$a'| |tptp.'a$'|) (|tptp.'ket$a'| |tptp.'i$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b1$'|) (|tptp.'ket$b'| |tptp.'j$'|))) (|tptp.'tensor_ell2$'| (|tptp.'fun_app$t'| (|tptp.'cblinfun_apply$a'| |tptp.'a$'|) (|tptp.'ket$a'| |tptp.'i$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b2$'|) (|tptp.'ket$b'| |tptp.'j$'|))))))) :rule forall_inst :args ((:= A__questionmark_v0 (|tptp.'fun_app$t'| (|tptp.'cblinfun_apply$a'| |tptp.'a$'|) (|tptp.'ket$a'| |tptp.'i$'|))) (:= A__questionmark_v1 (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b1$'|) (|tptp.'ket$b'| |tptp.'j$'|))) (:= A__questionmark_v2 (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b2$'|) (|tptp.'ket$b'| |tptp.'j$'|)))))
% 1.10/1.28 (step t73.t2 (cl (not (forall ((A__questionmark_v0 |tptp.'B_ell2$'|) (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$'| A__questionmark_v0 A__questionmark_v2))))) (= (|tptp.'tensor_ell2$'| (|tptp.'fun_app$t'| (|tptp.'cblinfun_apply$a'| |tptp.'a$'|) (|tptp.'ket$a'| |tptp.'i$'|)) (|tptp.'plus$i'| (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b1$'|) (|tptp.'ket$b'| |tptp.'j$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b2$'|) (|tptp.'ket$b'| |tptp.'j$'|)))) (|tptp.'plus$u'| (|tptp.'tensor_ell2$'| (|tptp.'fun_app$t'| (|tptp.'cblinfun_apply$a'| |tptp.'a$'|) (|tptp.'ket$a'| |tptp.'i$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b1$'|) (|tptp.'ket$b'| |tptp.'j$'|))) (|tptp.'tensor_ell2$'| (|tptp.'fun_app$t'| (|tptp.'cblinfun_apply$a'| |tptp.'a$'|) (|tptp.'ket$a'| |tptp.'i$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b2$'|) (|tptp.'ket$b'| |tptp.'j$'|)))))) :rule or :premises (t73.t1))
% 1.10/1.28 (step t73.t3 (cl (= (|tptp.'tensor_ell2$'| (|tptp.'fun_app$t'| (|tptp.'cblinfun_apply$a'| |tptp.'a$'|) (|tptp.'ket$a'| |tptp.'i$'|)) (|tptp.'plus$i'| (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b1$'|) (|tptp.'ket$b'| |tptp.'j$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b2$'|) (|tptp.'ket$b'| |tptp.'j$'|)))) (|tptp.'plus$u'| (|tptp.'tensor_ell2$'| (|tptp.'fun_app$t'| (|tptp.'cblinfun_apply$a'| |tptp.'a$'|) (|tptp.'ket$a'| |tptp.'i$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b1$'|) (|tptp.'ket$b'| |tptp.'j$'|))) (|tptp.'tensor_ell2$'| (|tptp.'fun_app$t'| (|tptp.'cblinfun_apply$a'| |tptp.'a$'|) (|tptp.'ket$a'| |tptp.'i$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b2$'|) (|tptp.'ket$b'| |tptp.'j$'|)))))) :rule resolution :premises (t73.t2 t73.a0))
% 1.10/1.28 (step t73 (cl (not (forall ((A__questionmark_v0 |tptp.'B_ell2$'|) (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$'| A__questionmark_v0 A__questionmark_v2))))) (= (|tptp.'tensor_ell2$'| (|tptp.'fun_app$t'| (|tptp.'cblinfun_apply$a'| |tptp.'a$'|) (|tptp.'ket$a'| |tptp.'i$'|)) (|tptp.'plus$i'| (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b1$'|) (|tptp.'ket$b'| |tptp.'j$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b2$'|) (|tptp.'ket$b'| |tptp.'j$'|)))) (|tptp.'plus$u'| (|tptp.'tensor_ell2$'| (|tptp.'fun_app$t'| (|tptp.'cblinfun_apply$a'| |tptp.'a$'|) (|tptp.'ket$a'| |tptp.'i$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b1$'|) (|tptp.'ket$b'| |tptp.'j$'|))) (|tptp.'tensor_ell2$'| (|tptp.'fun_app$t'| (|tptp.'cblinfun_apply$a'| |tptp.'a$'|) (|tptp.'ket$a'| |tptp.'i$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b2$'|) (|tptp.'ket$b'| |tptp.'j$'|)))))) :rule subproof :discharge (t73.a0))
% 1.10/1.28 (step t74 (cl (=> (forall ((A__questionmark_v0 |tptp.'B_ell2$'|) (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$'| A__questionmark_v0 A__questionmark_v2)))) (= (|tptp.'tensor_ell2$'| (|tptp.'fun_app$t'| (|tptp.'cblinfun_apply$a'| |tptp.'a$'|) (|tptp.'ket$a'| |tptp.'i$'|)) (|tptp.'plus$i'| (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b1$'|) (|tptp.'ket$b'| |tptp.'j$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b2$'|) (|tptp.'ket$b'| |tptp.'j$'|)))) (|tptp.'plus$u'| (|tptp.'tensor_ell2$'| (|tptp.'fun_app$t'| (|tptp.'cblinfun_apply$a'| |tptp.'a$'|) (|tptp.'ket$a'| |tptp.'i$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b1$'|) (|tptp.'ket$b'| |tptp.'j$'|))) (|tptp.'tensor_ell2$'| (|tptp.'fun_app$t'| (|tptp.'cblinfun_apply$a'| |tptp.'a$'|) (|tptp.'ket$a'| |tptp.'i$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b2$'|) (|tptp.'ket$b'| |tptp.'j$'|)))))) (= (|tptp.'tensor_ell2$'| (|tptp.'fun_app$t'| (|tptp.'cblinfun_apply$a'| |tptp.'a$'|) (|tptp.'ket$a'| |tptp.'i$'|)) (|tptp.'plus$i'| (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b1$'|) (|tptp.'ket$b'| |tptp.'j$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b2$'|) (|tptp.'ket$b'| |tptp.'j$'|)))) (|tptp.'plus$u'| (|tptp.'tensor_ell2$'| (|tptp.'fun_app$t'| (|tptp.'cblinfun_apply$a'| |tptp.'a$'|) (|tptp.'ket$a'| |tptp.'i$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b1$'|) (|tptp.'ket$b'| |tptp.'j$'|))) (|tptp.'tensor_ell2$'| (|tptp.'fun_app$t'| (|tptp.'cblinfun_apply$a'| |tptp.'a$'|) (|tptp.'ket$a'| |tptp.'i$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b2$'|) (|tptp.'ket$b'| |tptp.'j$'|)))))) :rule resolution :premises (t72 t73))
% 1.10/1.28 (step t75 (cl (=> (forall ((A__questionmark_v0 |tptp.'B_ell2$'|) (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$'| A__questionmark_v0 A__questionmark_v2)))) (= (|tptp.'tensor_ell2$'| (|tptp.'fun_app$t'| (|tptp.'cblinfun_apply$a'| |tptp.'a$'|) (|tptp.'ket$a'| |tptp.'i$'|)) (|tptp.'plus$i'| (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b1$'|) (|tptp.'ket$b'| |tptp.'j$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b2$'|) (|tptp.'ket$b'| |tptp.'j$'|)))) (|tptp.'plus$u'| (|tptp.'tensor_ell2$'| (|tptp.'fun_app$t'| (|tptp.'cblinfun_apply$a'| |tptp.'a$'|) (|tptp.'ket$a'| |tptp.'i$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b1$'|) (|tptp.'ket$b'| |tptp.'j$'|))) (|tptp.'tensor_ell2$'| (|tptp.'fun_app$t'| (|tptp.'cblinfun_apply$a'| |tptp.'a$'|) (|tptp.'ket$a'| |tptp.'i$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b2$'|) (|tptp.'ket$b'| |tptp.'j$'|)))))) (not (= (|tptp.'tensor_ell2$'| (|tptp.'fun_app$t'| (|tptp.'cblinfun_apply$a'| |tptp.'a$'|) (|tptp.'ket$a'| |tptp.'i$'|)) (|tptp.'plus$i'| (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b1$'|) (|tptp.'ket$b'| |tptp.'j$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b2$'|) (|tptp.'ket$b'| |tptp.'j$'|)))) (|tptp.'plus$u'| (|tptp.'tensor_ell2$'| (|tptp.'fun_app$t'| (|tptp.'cblinfun_apply$a'| |tptp.'a$'|) (|tptp.'ket$a'| |tptp.'i$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b1$'|) (|tptp.'ket$b'| |tptp.'j$'|))) (|tptp.'tensor_ell2$'| (|tptp.'fun_app$t'| (|tptp.'cblinfun_apply$a'| |tptp.'a$'|) (|tptp.'ket$a'| |tptp.'i$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b2$'|) (|tptp.'ket$b'| |tptp.'j$'|))))))) :rule implies_neg2)
% 1.10/1.28 (step t76 (cl (=> (forall ((A__questionmark_v0 |tptp.'B_ell2$'|) (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$'| A__questionmark_v0 A__questionmark_v2)))) (= (|tptp.'tensor_ell2$'| (|tptp.'fun_app$t'| (|tptp.'cblinfun_apply$a'| |tptp.'a$'|) (|tptp.'ket$a'| |tptp.'i$'|)) (|tptp.'plus$i'| (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b1$'|) (|tptp.'ket$b'| |tptp.'j$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b2$'|) (|tptp.'ket$b'| |tptp.'j$'|)))) (|tptp.'plus$u'| (|tptp.'tensor_ell2$'| (|tptp.'fun_app$t'| (|tptp.'cblinfun_apply$a'| |tptp.'a$'|) (|tptp.'ket$a'| |tptp.'i$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b1$'|) (|tptp.'ket$b'| |tptp.'j$'|))) (|tptp.'tensor_ell2$'| (|tptp.'fun_app$t'| (|tptp.'cblinfun_apply$a'| |tptp.'a$'|) (|tptp.'ket$a'| |tptp.'i$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b2$'|) (|tptp.'ket$b'| |tptp.'j$'|)))))) (=> (forall ((A__questionmark_v0 |tptp.'B_ell2$'|) (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$'| A__questionmark_v0 A__questionmark_v2)))) (= (|tptp.'tensor_ell2$'| (|tptp.'fun_app$t'| (|tptp.'cblinfun_apply$a'| |tptp.'a$'|) (|tptp.'ket$a'| |tptp.'i$'|)) (|tptp.'plus$i'| (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b1$'|) (|tptp.'ket$b'| |tptp.'j$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b2$'|) (|tptp.'ket$b'| |tptp.'j$'|)))) (|tptp.'plus$u'| (|tptp.'tensor_ell2$'| (|tptp.'fun_app$t'| (|tptp.'cblinfun_apply$a'| |tptp.'a$'|) (|tptp.'ket$a'| |tptp.'i$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b1$'|) (|tptp.'ket$b'| |tptp.'j$'|))) (|tptp.'tensor_ell2$'| (|tptp.'fun_app$t'| (|tptp.'cblinfun_apply$a'| |tptp.'a$'|) (|tptp.'ket$a'| |tptp.'i$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b2$'|) (|tptp.'ket$b'| |tptp.'j$'|))))))) :rule resolution :premises (t74 t75))
% 1.10/1.28 (step t77 (cl (=> (forall ((A__questionmark_v0 |tptp.'B_ell2$'|) (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$'| A__questionmark_v0 A__questionmark_v2)))) (= (|tptp.'tensor_ell2$'| (|tptp.'fun_app$t'| (|tptp.'cblinfun_apply$a'| |tptp.'a$'|) (|tptp.'ket$a'| |tptp.'i$'|)) (|tptp.'plus$i'| (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b1$'|) (|tptp.'ket$b'| |tptp.'j$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b2$'|) (|tptp.'ket$b'| |tptp.'j$'|)))) (|tptp.'plus$u'| (|tptp.'tensor_ell2$'| (|tptp.'fun_app$t'| (|tptp.'cblinfun_apply$a'| |tptp.'a$'|) (|tptp.'ket$a'| |tptp.'i$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b1$'|) (|tptp.'ket$b'| |tptp.'j$'|))) (|tptp.'tensor_ell2$'| (|tptp.'fun_app$t'| (|tptp.'cblinfun_apply$a'| |tptp.'a$'|) (|tptp.'ket$a'| |tptp.'i$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b2$'|) (|tptp.'ket$b'| |tptp.'j$'|))))))) :rule contraction :premises (t76))
% 1.10/1.28 (step t78 (cl (not (forall ((A__questionmark_v0 |tptp.'B_ell2$'|) (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$'| A__questionmark_v0 A__questionmark_v2))))) (= (|tptp.'tensor_ell2$'| (|tptp.'fun_app$t'| (|tptp.'cblinfun_apply$a'| |tptp.'a$'|) (|tptp.'ket$a'| |tptp.'i$'|)) (|tptp.'plus$i'| (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b1$'|) (|tptp.'ket$b'| |tptp.'j$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b2$'|) (|tptp.'ket$b'| |tptp.'j$'|)))) (|tptp.'plus$u'| (|tptp.'tensor_ell2$'| (|tptp.'fun_app$t'| (|tptp.'cblinfun_apply$a'| |tptp.'a$'|) (|tptp.'ket$a'| |tptp.'i$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b1$'|) (|tptp.'ket$b'| |tptp.'j$'|))) (|tptp.'tensor_ell2$'| (|tptp.'fun_app$t'| (|tptp.'cblinfun_apply$a'| |tptp.'a$'|) (|tptp.'ket$a'| |tptp.'i$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b2$'|) (|tptp.'ket$b'| |tptp.'j$'|)))))) :rule implies :premises (t77))
% 1.10/1.28 (step t79 (cl (= (|tptp.'tensor_ell2$'| (|tptp.'fun_app$t'| (|tptp.'cblinfun_apply$a'| |tptp.'a$'|) (|tptp.'ket$a'| |tptp.'i$'|)) (|tptp.'plus$i'| (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b1$'|) (|tptp.'ket$b'| |tptp.'j$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b2$'|) (|tptp.'ket$b'| |tptp.'j$'|)))) (|tptp.'plus$u'| (|tptp.'tensor_ell2$'| (|tptp.'fun_app$t'| (|tptp.'cblinfun_apply$a'| |tptp.'a$'|) (|tptp.'ket$a'| |tptp.'i$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b1$'|) (|tptp.'ket$b'| |tptp.'j$'|))) (|tptp.'tensor_ell2$'| (|tptp.'fun_app$t'| (|tptp.'cblinfun_apply$a'| |tptp.'a$'|) (|tptp.'ket$a'| |tptp.'i$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b2$'|) (|tptp.'ket$b'| |tptp.'j$'|)))))) :rule resolution :premises (t78 a95))
% 1.10/1.28 (step t80 (cl (=> (forall ((A__questionmark_v0 |tptp.'C_ell2_d_ell2_cblinfun$'|) (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)))) (= (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| (|tptp.'fun_app$m'| (|tptp.'fun_app$n'| |tptp.'plus$a'| |tptp.'b1$'|) |tptp.'b2$'|)) (|tptp.'ket$b'| |tptp.'j$'|)) (|tptp.'plus$i'| (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b1$'|) (|tptp.'ket$b'| |tptp.'j$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b2$'|) (|tptp.'ket$b'| |tptp.'j$'|))))) (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$b'| A__questionmark_v1) A__questionmark_v2))))) :rule implies_neg1)
% 1.10/1.28 (anchor :step t81)
% 1.10/1.28 (assume t81.a0 (forall ((A__questionmark_v0 |tptp.'C_ell2_d_ell2_cblinfun$'|) (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)))))
% 1.10/1.28 (step t81.t1 (cl (or (not (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$b'| A__questionmark_v1) A__questionmark_v2))))) (= (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| (|tptp.'fun_app$m'| (|tptp.'fun_app$n'| |tptp.'plus$a'| |tptp.'b1$'|) |tptp.'b2$'|)) (|tptp.'ket$b'| |tptp.'j$'|)) (|tptp.'plus$i'| (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b1$'|) (|tptp.'ket$b'| |tptp.'j$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b2$'|) (|tptp.'ket$b'| |tptp.'j$'|)))))) :rule forall_inst :args ((:= A__questionmark_v0 |tptp.'b1$'|) (:= A__questionmark_v1 |tptp.'b2$'|) (:= A__questionmark_v2 (|tptp.'ket$b'| |tptp.'j$'|))))
% 1.10/1.28 (step t81.t2 (cl (not (forall ((A__questionmark_v0 |tptp.'C_ell2_d_ell2_cblinfun$'|) (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))))) (= (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| (|tptp.'fun_app$m'| (|tptp.'fun_app$n'| |tptp.'plus$a'| |tptp.'b1$'|) |tptp.'b2$'|)) (|tptp.'ket$b'| |tptp.'j$'|)) (|tptp.'plus$i'| (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b1$'|) (|tptp.'ket$b'| |tptp.'j$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b2$'|) (|tptp.'ket$b'| |tptp.'j$'|))))) :rule or :premises (t81.t1))
% 1.10/1.28 (step t81.t3 (cl (= (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| (|tptp.'fun_app$m'| (|tptp.'fun_app$n'| |tptp.'plus$a'| |tptp.'b1$'|) |tptp.'b2$'|)) (|tptp.'ket$b'| |tptp.'j$'|)) (|tptp.'plus$i'| (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b1$'|) (|tptp.'ket$b'| |tptp.'j$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b2$'|) (|tptp.'ket$b'| |tptp.'j$'|))))) :rule resolution :premises (t81.t2 t81.a0))
% 1.10/1.28 (step t81 (cl (not (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$b'| A__questionmark_v1) A__questionmark_v2))))) (= (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| (|tptp.'fun_app$m'| (|tptp.'fun_app$n'| |tptp.'plus$a'| |tptp.'b1$'|) |tptp.'b2$'|)) (|tptp.'ket$b'| |tptp.'j$'|)) (|tptp.'plus$i'| (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b1$'|) (|tptp.'ket$b'| |tptp.'j$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b2$'|) (|tptp.'ket$b'| |tptp.'j$'|))))) :rule subproof :discharge (t81.a0))
% 1.10/1.28 (step t82 (cl (=> (forall ((A__questionmark_v0 |tptp.'C_ell2_d_ell2_cblinfun$'|) (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)))) (= (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| (|tptp.'fun_app$m'| (|tptp.'fun_app$n'| |tptp.'plus$a'| |tptp.'b1$'|) |tptp.'b2$'|)) (|tptp.'ket$b'| |tptp.'j$'|)) (|tptp.'plus$i'| (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b1$'|) (|tptp.'ket$b'| |tptp.'j$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b2$'|) (|tptp.'ket$b'| |tptp.'j$'|))))) (= (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| (|tptp.'fun_app$m'| (|tptp.'fun_app$n'| |tptp.'plus$a'| |tptp.'b1$'|) |tptp.'b2$'|)) (|tptp.'ket$b'| |tptp.'j$'|)) (|tptp.'plus$i'| (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b1$'|) (|tptp.'ket$b'| |tptp.'j$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b2$'|) (|tptp.'ket$b'| |tptp.'j$'|))))) :rule resolution :premises (t80 t81))
% 1.10/1.28 (step t83 (cl (=> (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$b'| A__questionmark_v1) A__questionmark_v2)))) (= (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| (|tptp.'fun_app$m'| (|tptp.'fun_app$n'| |tptp.'plus$a'| |tptp.'b1$'|) |tptp.'b2$'|)) (|tptp.'ket$b'| |tptp.'j$'|)) (|tptp.'plus$i'| (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b1$'|) (|tptp.'ket$b'| |tptp.'j$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b2$'|) (|tptp.'ket$b'| |tptp.'j$'|))))) (not (= (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| (|tptp.'fun_app$m'| (|tptp.'fun_app$n'| |tptp.'plus$a'| |tptp.'b1$'|) |tptp.'b2$'|)) (|tptp.'ket$b'| |tptp.'j$'|)) (|tptp.'plus$i'| (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b1$'|) (|tptp.'ket$b'| |tptp.'j$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b2$'|) (|tptp.'ket$b'| |tptp.'j$'|)))))) :rule implies_neg2)
% 1.10/1.28 (step t84 (cl (=> (forall ((A__questionmark_v0 |tptp.'C_ell2_d_ell2_cblinfun$'|) (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)))) (= (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| (|tptp.'fun_app$m'| (|tptp.'fun_app$n'| |tptp.'plus$a'| |tptp.'b1$'|) |tptp.'b2$'|)) (|tptp.'ket$b'| |tptp.'j$'|)) (|tptp.'plus$i'| (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b1$'|) (|tptp.'ket$b'| |tptp.'j$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b2$'|) (|tptp.'ket$b'| |tptp.'j$'|))))) (=> (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$b'| A__questionmark_v1) A__questionmark_v2)))) (= (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| (|tptp.'fun_app$m'| (|tptp.'fun_app$n'| |tptp.'plus$a'| |tptp.'b1$'|) |tptp.'b2$'|)) (|tptp.'ket$b'| |tptp.'j$'|)) (|tptp.'plus$i'| (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b1$'|) (|tptp.'ket$b'| |tptp.'j$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b2$'|) (|tptp.'ket$b'| |tptp.'j$'|)))))) :rule resolution :premises (t82 t83))
% 1.10/1.28 (step t85 (cl (=> (forall ((A__questionmark_v0 |tptp.'C_ell2_d_ell2_cblinfun$'|) (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)))) (= (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| (|tptp.'fun_app$m'| (|tptp.'fun_app$n'| |tptp.'plus$a'| |tptp.'b1$'|) |tptp.'b2$'|)) (|tptp.'ket$b'| |tptp.'j$'|)) (|tptp.'plus$i'| (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b1$'|) (|tptp.'ket$b'| |tptp.'j$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b2$'|) (|tptp.'ket$b'| |tptp.'j$'|)))))) :rule contraction :premises (t84))
% 1.10/1.28 (step t86 (cl (not (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$b'| A__questionmark_v1) A__questionmark_v2))))) (= (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| (|tptp.'fun_app$m'| (|tptp.'fun_app$n'| |tptp.'plus$a'| |tptp.'b1$'|) |tptp.'b2$'|)) (|tptp.'ket$b'| |tptp.'j$'|)) (|tptp.'plus$i'| (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b1$'|) (|tptp.'ket$b'| |tptp.'j$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b2$'|) (|tptp.'ket$b'| |tptp.'j$'|))))) :rule implies :premises (t85))
% 1.10/1.28 (step t87 (cl (= (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| (|tptp.'fun_app$m'| (|tptp.'fun_app$n'| |tptp.'plus$a'| |tptp.'b1$'|) |tptp.'b2$'|)) (|tptp.'ket$b'| |tptp.'j$'|)) (|tptp.'plus$i'| (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b1$'|) (|tptp.'ket$b'| |tptp.'j$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b2$'|) (|tptp.'ket$b'| |tptp.'j$'|))))) :rule resolution :premises (t86 a34))
% 1.10/1.28 (step t88 (cl (=> (forall ((A__questionmark_v0 |tptp.'A_ell2_b_ell2_cblinfun$'|) (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$b'| A__questionmark_v3))))) (= (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| (|tptp.'tensor_op$'| |tptp.'a$'| |tptp.'b1$'|)) (|tptp.'fun_app$o'| |tptp.'ket$'| (|tptp.'fun_app$p'| (|tptp.'fun_app$q'| |tptp.'pair$'| |tptp.'i$'|) |tptp.'j$'|))) (|tptp.'tensor_ell2$'| (|tptp.'fun_app$t'| (|tptp.'cblinfun_apply$a'| |tptp.'a$'|) (|tptp.'ket$a'| |tptp.'i$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b1$'|) (|tptp.'ket$b'| |tptp.'j$'|))))) (forall ((A__questionmark_v0 |tptp.'A_ell2_b_ell2_cblinfun$'|) (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$b'| A__questionmark_v3)))))) :rule implies_neg1)
% 1.10/1.28 (anchor :step t89)
% 1.10/1.28 (assume t89.a0 (forall ((A__questionmark_v0 |tptp.'A_ell2_b_ell2_cblinfun$'|) (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$b'| A__questionmark_v3))))))
% 1.10/1.28 (step t89.t1 (cl (or (not (forall ((A__questionmark_v0 |tptp.'A_ell2_b_ell2_cblinfun$'|) (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$b'| A__questionmark_v3)))))) (= (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| (|tptp.'tensor_op$'| |tptp.'a$'| |tptp.'b1$'|)) (|tptp.'fun_app$o'| |tptp.'ket$'| (|tptp.'fun_app$p'| (|tptp.'fun_app$q'| |tptp.'pair$'| |tptp.'i$'|) |tptp.'j$'|))) (|tptp.'tensor_ell2$'| (|tptp.'fun_app$t'| (|tptp.'cblinfun_apply$a'| |tptp.'a$'|) (|tptp.'ket$a'| |tptp.'i$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b1$'|) (|tptp.'ket$b'| |tptp.'j$'|)))))) :rule forall_inst :args ((:= A__questionmark_v0 |tptp.'a$'|) (:= A__questionmark_v1 |tptp.'b1$'|) (:= A__questionmark_v2 |tptp.'i$'|) (:= A__questionmark_v3 |tptp.'j$'|)))
% 1.10/1.28 (step t89.t2 (cl (not (forall ((A__questionmark_v0 |tptp.'A_ell2_b_ell2_cblinfun$'|) (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$b'| A__questionmark_v3)))))) (= (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| (|tptp.'tensor_op$'| |tptp.'a$'| |tptp.'b1$'|)) (|tptp.'fun_app$o'| |tptp.'ket$'| (|tptp.'fun_app$p'| (|tptp.'fun_app$q'| |tptp.'pair$'| |tptp.'i$'|) |tptp.'j$'|))) (|tptp.'tensor_ell2$'| (|tptp.'fun_app$t'| (|tptp.'cblinfun_apply$a'| |tptp.'a$'|) (|tptp.'ket$a'| |tptp.'i$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b1$'|) (|tptp.'ket$b'| |tptp.'j$'|))))) :rule or :premises (t89.t1))
% 1.10/1.28 (step t89.t3 (cl (= (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| (|tptp.'tensor_op$'| |tptp.'a$'| |tptp.'b1$'|)) (|tptp.'fun_app$o'| |tptp.'ket$'| (|tptp.'fun_app$p'| (|tptp.'fun_app$q'| |tptp.'pair$'| |tptp.'i$'|) |tptp.'j$'|))) (|tptp.'tensor_ell2$'| (|tptp.'fun_app$t'| (|tptp.'cblinfun_apply$a'| |tptp.'a$'|) (|tptp.'ket$a'| |tptp.'i$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b1$'|) (|tptp.'ket$b'| |tptp.'j$'|))))) :rule resolution :premises (t89.t2 t89.a0))
% 1.10/1.28 (step t89 (cl (not (forall ((A__questionmark_v0 |tptp.'A_ell2_b_ell2_cblinfun$'|) (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$b'| A__questionmark_v3)))))) (= (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| (|tptp.'tensor_op$'| |tptp.'a$'| |tptp.'b1$'|)) (|tptp.'fun_app$o'| |tptp.'ket$'| (|tptp.'fun_app$p'| (|tptp.'fun_app$q'| |tptp.'pair$'| |tptp.'i$'|) |tptp.'j$'|))) (|tptp.'tensor_ell2$'| (|tptp.'fun_app$t'| (|tptp.'cblinfun_apply$a'| |tptp.'a$'|) (|tptp.'ket$a'| |tptp.'i$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b1$'|) (|tptp.'ket$b'| |tptp.'j$'|))))) :rule subproof :discharge (t89.a0))
% 1.10/1.28 (step t90 (cl (=> (forall ((A__questionmark_v0 |tptp.'A_ell2_b_ell2_cblinfun$'|) (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$b'| A__questionmark_v3))))) (= (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| (|tptp.'tensor_op$'| |tptp.'a$'| |tptp.'b1$'|)) (|tptp.'fun_app$o'| |tptp.'ket$'| (|tptp.'fun_app$p'| (|tptp.'fun_app$q'| |tptp.'pair$'| |tptp.'i$'|) |tptp.'j$'|))) (|tptp.'tensor_ell2$'| (|tptp.'fun_app$t'| (|tptp.'cblinfun_apply$a'| |tptp.'a$'|) (|tptp.'ket$a'| |tptp.'i$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b1$'|) (|tptp.'ket$b'| |tptp.'j$'|))))) (= (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| (|tptp.'tensor_op$'| |tptp.'a$'| |tptp.'b1$'|)) (|tptp.'fun_app$o'| |tptp.'ket$'| (|tptp.'fun_app$p'| (|tptp.'fun_app$q'| |tptp.'pair$'| |tptp.'i$'|) |tptp.'j$'|))) (|tptp.'tensor_ell2$'| (|tptp.'fun_app$t'| (|tptp.'cblinfun_apply$a'| |tptp.'a$'|) (|tptp.'ket$a'| |tptp.'i$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b1$'|) (|tptp.'ket$b'| |tptp.'j$'|))))) :rule resolution :premises (t88 t89))
% 1.10/1.28 (step t91 (cl (=> (forall ((A__questionmark_v0 |tptp.'A_ell2_b_ell2_cblinfun$'|) (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$b'| A__questionmark_v3))))) (= (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| (|tptp.'tensor_op$'| |tptp.'a$'| |tptp.'b1$'|)) (|tptp.'fun_app$o'| |tptp.'ket$'| (|tptp.'fun_app$p'| (|tptp.'fun_app$q'| |tptp.'pair$'| |tptp.'i$'|) |tptp.'j$'|))) (|tptp.'tensor_ell2$'| (|tptp.'fun_app$t'| (|tptp.'cblinfun_apply$a'| |tptp.'a$'|) (|tptp.'ket$a'| |tptp.'i$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b1$'|) (|tptp.'ket$b'| |tptp.'j$'|))))) (not (= (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| (|tptp.'tensor_op$'| |tptp.'a$'| |tptp.'b1$'|)) (|tptp.'fun_app$o'| |tptp.'ket$'| (|tptp.'fun_app$p'| (|tptp.'fun_app$q'| |tptp.'pair$'| |tptp.'i$'|) |tptp.'j$'|))) (|tptp.'tensor_ell2$'| (|tptp.'fun_app$t'| (|tptp.'cblinfun_apply$a'| |tptp.'a$'|) (|tptp.'ket$a'| |tptp.'i$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b1$'|) (|tptp.'ket$b'| |tptp.'j$'|)))))) :rule implies_neg2)
% 1.10/1.28 (step t92 (cl (=> (forall ((A__questionmark_v0 |tptp.'A_ell2_b_ell2_cblinfun$'|) (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$b'| A__questionmark_v3))))) (= (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| (|tptp.'tensor_op$'| |tptp.'a$'| |tptp.'b1$'|)) (|tptp.'fun_app$o'| |tptp.'ket$'| (|tptp.'fun_app$p'| (|tptp.'fun_app$q'| |tptp.'pair$'| |tptp.'i$'|) |tptp.'j$'|))) (|tptp.'tensor_ell2$'| (|tptp.'fun_app$t'| (|tptp.'cblinfun_apply$a'| |tptp.'a$'|) (|tptp.'ket$a'| |tptp.'i$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b1$'|) (|tptp.'ket$b'| |tptp.'j$'|))))) (=> (forall ((A__questionmark_v0 |tptp.'A_ell2_b_ell2_cblinfun$'|) (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$b'| A__questionmark_v3))))) (= (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| (|tptp.'tensor_op$'| |tptp.'a$'| |tptp.'b1$'|)) (|tptp.'fun_app$o'| |tptp.'ket$'| (|tptp.'fun_app$p'| (|tptp.'fun_app$q'| |tptp.'pair$'| |tptp.'i$'|) |tptp.'j$'|))) (|tptp.'tensor_ell2$'| (|tptp.'fun_app$t'| (|tptp.'cblinfun_apply$a'| |tptp.'a$'|) (|tptp.'ket$a'| |tptp.'i$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b1$'|) (|tptp.'ket$b'| |tptp.'j$'|)))))) :rule resolution :premises (t90 t91))
% 1.10/1.28 (step t93 (cl (=> (forall ((A__questionmark_v0 |tptp.'A_ell2_b_ell2_cblinfun$'|) (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$b'| A__questionmark_v3))))) (= (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| (|tptp.'tensor_op$'| |tptp.'a$'| |tptp.'b1$'|)) (|tptp.'fun_app$o'| |tptp.'ket$'| (|tptp.'fun_app$p'| (|tptp.'fun_app$q'| |tptp.'pair$'| |tptp.'i$'|) |tptp.'j$'|))) (|tptp.'tensor_ell2$'| (|tptp.'fun_app$t'| (|tptp.'cblinfun_apply$a'| |tptp.'a$'|) (|tptp.'ket$a'| |tptp.'i$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b1$'|) (|tptp.'ket$b'| |tptp.'j$'|)))))) :rule contraction :premises (t92))
% 1.10/1.28 (step t94 (cl (not (forall ((A__questionmark_v0 |tptp.'A_ell2_b_ell2_cblinfun$'|) (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$b'| A__questionmark_v3)))))) (= (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| (|tptp.'tensor_op$'| |tptp.'a$'| |tptp.'b1$'|)) (|tptp.'fun_app$o'| |tptp.'ket$'| (|tptp.'fun_app$p'| (|tptp.'fun_app$q'| |tptp.'pair$'| |tptp.'i$'|) |tptp.'j$'|))) (|tptp.'tensor_ell2$'| (|tptp.'fun_app$t'| (|tptp.'cblinfun_apply$a'| |tptp.'a$'|) (|tptp.'ket$a'| |tptp.'i$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b1$'|) (|tptp.'ket$b'| |tptp.'j$'|))))) :rule implies :premises (t93))
% 1.10/1.28 (step t95 (cl (= (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| (|tptp.'tensor_op$'| |tptp.'a$'| |tptp.'b1$'|)) (|tptp.'fun_app$o'| |tptp.'ket$'| (|tptp.'fun_app$p'| (|tptp.'fun_app$q'| |tptp.'pair$'| |tptp.'i$'|) |tptp.'j$'|))) (|tptp.'tensor_ell2$'| (|tptp.'fun_app$t'| (|tptp.'cblinfun_apply$a'| |tptp.'a$'|) (|tptp.'ket$a'| |tptp.'i$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b1$'|) (|tptp.'ket$b'| |tptp.'j$'|))))) :rule resolution :premises (t94 a20))
% 1.10/1.28 (step t96 (cl (=> (forall ((A__questionmark_v0 |tptp.'A_ell2_b_ell2_cblinfun$'|) (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$b'| A__questionmark_v3))))) (= (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| (|tptp.'tensor_op$'| |tptp.'a$'| |tptp.'b2$'|)) (|tptp.'fun_app$o'| |tptp.'ket$'| (|tptp.'fun_app$p'| (|tptp.'fun_app$q'| |tptp.'pair$'| |tptp.'i$'|) |tptp.'j$'|))) (|tptp.'tensor_ell2$'| (|tptp.'fun_app$t'| (|tptp.'cblinfun_apply$a'| |tptp.'a$'|) (|tptp.'ket$a'| |tptp.'i$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b2$'|) (|tptp.'ket$b'| |tptp.'j$'|))))) (forall ((A__questionmark_v0 |tptp.'A_ell2_b_ell2_cblinfun$'|) (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$b'| A__questionmark_v3)))))) :rule implies_neg1)
% 1.10/1.28 (anchor :step t97)
% 1.10/1.28 (assume t97.a0 (forall ((A__questionmark_v0 |tptp.'A_ell2_b_ell2_cblinfun$'|) (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$b'| A__questionmark_v3))))))
% 1.10/1.28 (step t97.t1 (cl (or (not (forall ((A__questionmark_v0 |tptp.'A_ell2_b_ell2_cblinfun$'|) (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$b'| A__questionmark_v3)))))) (= (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| (|tptp.'tensor_op$'| |tptp.'a$'| |tptp.'b2$'|)) (|tptp.'fun_app$o'| |tptp.'ket$'| (|tptp.'fun_app$p'| (|tptp.'fun_app$q'| |tptp.'pair$'| |tptp.'i$'|) |tptp.'j$'|))) (|tptp.'tensor_ell2$'| (|tptp.'fun_app$t'| (|tptp.'cblinfun_apply$a'| |tptp.'a$'|) (|tptp.'ket$a'| |tptp.'i$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b2$'|) (|tptp.'ket$b'| |tptp.'j$'|)))))) :rule forall_inst :args ((:= A__questionmark_v0 |tptp.'a$'|) (:= A__questionmark_v1 |tptp.'b2$'|) (:= A__questionmark_v2 |tptp.'i$'|) (:= A__questionmark_v3 |tptp.'j$'|)))
% 1.10/1.28 (step t97.t2 (cl (not (forall ((A__questionmark_v0 |tptp.'A_ell2_b_ell2_cblinfun$'|) (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$b'| A__questionmark_v3)))))) (= (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| (|tptp.'tensor_op$'| |tptp.'a$'| |tptp.'b2$'|)) (|tptp.'fun_app$o'| |tptp.'ket$'| (|tptp.'fun_app$p'| (|tptp.'fun_app$q'| |tptp.'pair$'| |tptp.'i$'|) |tptp.'j$'|))) (|tptp.'tensor_ell2$'| (|tptp.'fun_app$t'| (|tptp.'cblinfun_apply$a'| |tptp.'a$'|) (|tptp.'ket$a'| |tptp.'i$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b2$'|) (|tptp.'ket$b'| |tptp.'j$'|))))) :rule or :premises (t97.t1))
% 1.10/1.28 (step t97.t3 (cl (= (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| (|tptp.'tensor_op$'| |tptp.'a$'| |tptp.'b2$'|)) (|tptp.'fun_app$o'| |tptp.'ket$'| (|tptp.'fun_app$p'| (|tptp.'fun_app$q'| |tptp.'pair$'| |tptp.'i$'|) |tptp.'j$'|))) (|tptp.'tensor_ell2$'| (|tptp.'fun_app$t'| (|tptp.'cblinfun_apply$a'| |tptp.'a$'|) (|tptp.'ket$a'| |tptp.'i$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b2$'|) (|tptp.'ket$b'| |tptp.'j$'|))))) :rule resolution :premises (t97.t2 t97.a0))
% 1.10/1.28 (step t97 (cl (not (forall ((A__questionmark_v0 |tptp.'A_ell2_b_ell2_cblinfun$'|) (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$b'| A__questionmark_v3)))))) (= (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| (|tptp.'tensor_op$'| |tptp.'a$'| |tptp.'b2$'|)) (|tptp.'fun_app$o'| |tptp.'ket$'| (|tptp.'fun_app$p'| (|tptp.'fun_app$q'| |tptp.'pair$'| |tptp.'i$'|) |tptp.'j$'|))) (|tptp.'tensor_ell2$'| (|tptp.'fun_app$t'| (|tptp.'cblinfun_apply$a'| |tptp.'a$'|) (|tptp.'ket$a'| |tptp.'i$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b2$'|) (|tptp.'ket$b'| |tptp.'j$'|))))) :rule subproof :discharge (t97.a0))
% 1.10/1.28 (step t98 (cl (=> (forall ((A__questionmark_v0 |tptp.'A_ell2_b_ell2_cblinfun$'|) (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$b'| A__questionmark_v3))))) (= (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| (|tptp.'tensor_op$'| |tptp.'a$'| |tptp.'b2$'|)) (|tptp.'fun_app$o'| |tptp.'ket$'| (|tptp.'fun_app$p'| (|tptp.'fun_app$q'| |tptp.'pair$'| |tptp.'i$'|) |tptp.'j$'|))) (|tptp.'tensor_ell2$'| (|tptp.'fun_app$t'| (|tptp.'cblinfun_apply$a'| |tptp.'a$'|) (|tptp.'ket$a'| |tptp.'i$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b2$'|) (|tptp.'ket$b'| |tptp.'j$'|))))) (= (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| (|tptp.'tensor_op$'| |tptp.'a$'| |tptp.'b2$'|)) (|tptp.'fun_app$o'| |tptp.'ket$'| (|tptp.'fun_app$p'| (|tptp.'fun_app$q'| |tptp.'pair$'| |tptp.'i$'|) |tptp.'j$'|))) (|tptp.'tensor_ell2$'| (|tptp.'fun_app$t'| (|tptp.'cblinfun_apply$a'| |tptp.'a$'|) (|tptp.'ket$a'| |tptp.'i$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b2$'|) (|tptp.'ket$b'| |tptp.'j$'|))))) :rule resolution :premises (t96 t97))
% 1.10/1.28 (step t99 (cl (=> (forall ((A__questionmark_v0 |tptp.'A_ell2_b_ell2_cblinfun$'|) (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$b'| A__questionmark_v3))))) (= (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| (|tptp.'tensor_op$'| |tptp.'a$'| |tptp.'b2$'|)) (|tptp.'fun_app$o'| |tptp.'ket$'| (|tptp.'fun_app$p'| (|tptp.'fun_app$q'| |tptp.'pair$'| |tptp.'i$'|) |tptp.'j$'|))) (|tptp.'tensor_ell2$'| (|tptp.'fun_app$t'| (|tptp.'cblinfun_apply$a'| |tptp.'a$'|) (|tptp.'ket$a'| |tptp.'i$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b2$'|) (|tptp.'ket$b'| |tptp.'j$'|))))) (not (= (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| (|tptp.'tensor_op$'| |tptp.'a$'| |tptp.'b2$'|)) (|tptp.'fun_app$o'| |tptp.'ket$'| (|tptp.'fun_app$p'| (|tptp.'fun_app$q'| |tptp.'pair$'| |tptp.'i$'|) |tptp.'j$'|))) (|tptp.'tensor_ell2$'| (|tptp.'fun_app$t'| (|tptp.'cblinfun_apply$a'| |tptp.'a$'|) (|tptp.'ket$a'| |tptp.'i$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b2$'|) (|tptp.'ket$b'| |tptp.'j$'|)))))) :rule implies_neg2)
% 1.10/1.28 (step t100 (cl (=> (forall ((A__questionmark_v0 |tptp.'A_ell2_b_ell2_cblinfun$'|) (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$b'| A__questionmark_v3))))) (= (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| (|tptp.'tensor_op$'| |tptp.'a$'| |tptp.'b2$'|)) (|tptp.'fun_app$o'| |tptp.'ket$'| (|tptp.'fun_app$p'| (|tptp.'fun_app$q'| |tptp.'pair$'| |tptp.'i$'|) |tptp.'j$'|))) (|tptp.'tensor_ell2$'| (|tptp.'fun_app$t'| (|tptp.'cblinfun_apply$a'| |tptp.'a$'|) (|tptp.'ket$a'| |tptp.'i$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b2$'|) (|tptp.'ket$b'| |tptp.'j$'|))))) (=> (forall ((A__questionmark_v0 |tptp.'A_ell2_b_ell2_cblinfun$'|) (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$b'| A__questionmark_v3))))) (= (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| (|tptp.'tensor_op$'| |tptp.'a$'| |tptp.'b2$'|)) (|tptp.'fun_app$o'| |tptp.'ket$'| (|tptp.'fun_app$p'| (|tptp.'fun_app$q'| |tptp.'pair$'| |tptp.'i$'|) |tptp.'j$'|))) (|tptp.'tensor_ell2$'| (|tptp.'fun_app$t'| (|tptp.'cblinfun_apply$a'| |tptp.'a$'|) (|tptp.'ket$a'| |tptp.'i$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b2$'|) (|tptp.'ket$b'| |tptp.'j$'|)))))) :rule resolution :premises (t98 t99))
% 1.10/1.28 (step t101 (cl (=> (forall ((A__questionmark_v0 |tptp.'A_ell2_b_ell2_cblinfun$'|) (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$b'| A__questionmark_v3))))) (= (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| (|tptp.'tensor_op$'| |tptp.'a$'| |tptp.'b2$'|)) (|tptp.'fun_app$o'| |tptp.'ket$'| (|tptp.'fun_app$p'| (|tptp.'fun_app$q'| |tptp.'pair$'| |tptp.'i$'|) |tptp.'j$'|))) (|tptp.'tensor_ell2$'| (|tptp.'fun_app$t'| (|tptp.'cblinfun_apply$a'| |tptp.'a$'|) (|tptp.'ket$a'| |tptp.'i$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b2$'|) (|tptp.'ket$b'| |tptp.'j$'|)))))) :rule contraction :premises (t100))
% 1.10/1.28 (step t102 (cl (not (forall ((A__questionmark_v0 |tptp.'A_ell2_b_ell2_cblinfun$'|) (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$b'| A__questionmark_v3)))))) (= (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| (|tptp.'tensor_op$'| |tptp.'a$'| |tptp.'b2$'|)) (|tptp.'fun_app$o'| |tptp.'ket$'| (|tptp.'fun_app$p'| (|tptp.'fun_app$q'| |tptp.'pair$'| |tptp.'i$'|) |tptp.'j$'|))) (|tptp.'tensor_ell2$'| (|tptp.'fun_app$t'| (|tptp.'cblinfun_apply$a'| |tptp.'a$'|) (|tptp.'ket$a'| |tptp.'i$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b2$'|) (|tptp.'ket$b'| |tptp.'j$'|))))) :rule implies :premises (t101))
% 1.10/1.28 (step t103 (cl (= (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| (|tptp.'tensor_op$'| |tptp.'a$'| |tptp.'b2$'|)) (|tptp.'fun_app$o'| |tptp.'ket$'| (|tptp.'fun_app$p'| (|tptp.'fun_app$q'| |tptp.'pair$'| |tptp.'i$'|) |tptp.'j$'|))) (|tptp.'tensor_ell2$'| (|tptp.'fun_app$t'| (|tptp.'cblinfun_apply$a'| |tptp.'a$'|) (|tptp.'ket$a'| |tptp.'i$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| |tptp.'b2$'|) (|tptp.'ket$b'| |tptp.'j$'|))))) :rule resolution :premises (t102 a20))
% 1.10/1.28 (step t104 (cl (=> (forall ((A__questionmark_v0 |tptp.'A_c_prod_ell2_b_d_prod_ell2_cblinfun$'|) (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$'| A__questionmark_v1) A__questionmark_v2)))) (= (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| (|tptp.'fun_app$r'| (|tptp.'fun_app$s'| |tptp.'plus$b'| (|tptp.'tensor_op$'| |tptp.'a$'| |tptp.'b1$'|)) (|tptp.'tensor_op$'| |tptp.'a$'| |tptp.'b2$'|))) (|tptp.'fun_app$o'| |tptp.'ket$'| (|tptp.'fun_app$p'| (|tptp.'fun_app$q'| |tptp.'pair$'| |tptp.'i$'|) |tptp.'j$'|))) (|tptp.'plus$u'| (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| (|tptp.'tensor_op$'| |tptp.'a$'| |tptp.'b1$'|)) (|tptp.'fun_app$o'| |tptp.'ket$'| (|tptp.'fun_app$p'| (|tptp.'fun_app$q'| |tptp.'pair$'| |tptp.'i$'|) |tptp.'j$'|))) (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| (|tptp.'tensor_op$'| |tptp.'a$'| |tptp.'b2$'|)) (|tptp.'fun_app$o'| |tptp.'ket$'| (|tptp.'fun_app$p'| (|tptp.'fun_app$q'| |tptp.'pair$'| |tptp.'i$'|) |tptp.'j$'|)))))) (forall ((A__questionmark_v0 |tptp.'A_c_prod_ell2_b_d_prod_ell2_cblinfun$'|) (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$'| A__questionmark_v1) A__questionmark_v2))))) :rule implies_neg1)
% 1.10/1.28 (anchor :step t105)
% 1.10/1.28 (assume t105.a0 (forall ((A__questionmark_v0 |tptp.'A_c_prod_ell2_b_d_prod_ell2_cblinfun$'|) (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$'| A__questionmark_v1) A__questionmark_v2)))))
% 1.10/1.28 (step t105.t1 (cl (or (not (forall ((A__questionmark_v0 |tptp.'A_c_prod_ell2_b_d_prod_ell2_cblinfun$'|) (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$'| A__questionmark_v1) A__questionmark_v2))))) (= (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| (|tptp.'fun_app$r'| (|tptp.'fun_app$s'| |tptp.'plus$b'| (|tptp.'tensor_op$'| |tptp.'a$'| |tptp.'b1$'|)) (|tptp.'tensor_op$'| |tptp.'a$'| |tptp.'b2$'|))) (|tptp.'fun_app$o'| |tptp.'ket$'| (|tptp.'fun_app$p'| (|tptp.'fun_app$q'| |tptp.'pair$'| |tptp.'i$'|) |tptp.'j$'|))) (|tptp.'plus$u'| (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| (|tptp.'tensor_op$'| |tptp.'a$'| |tptp.'b1$'|)) (|tptp.'fun_app$o'| |tptp.'ket$'| (|tptp.'fun_app$p'| (|tptp.'fun_app$q'| |tptp.'pair$'| |tptp.'i$'|) |tptp.'j$'|))) (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| (|tptp.'tensor_op$'| |tptp.'a$'| |tptp.'b2$'|)) (|tptp.'fun_app$o'| |tptp.'ket$'| (|tptp.'fun_app$p'| (|tptp.'fun_app$q'| |tptp.'pair$'| |tptp.'i$'|) |tptp.'j$'|))))))) :rule forall_inst :args ((:= A__questionmark_v0 (|tptp.'tensor_op$'| |tptp.'a$'| |tptp.'b1$'|)) (:= A__questionmark_v1 (|tptp.'tensor_op$'| |tptp.'a$'| |tptp.'b2$'|)) (:= A__questionmark_v2 (|tptp.'fun_app$o'| |tptp.'ket$'| (|tptp.'fun_app$p'| (|tptp.'fun_app$q'| |tptp.'pair$'| |tptp.'i$'|) |tptp.'j$'|)))))
% 1.10/1.28 (step t105.t2 (cl (not (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))))) (= (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| (|tptp.'fun_app$r'| (|tptp.'fun_app$s'| |tptp.'plus$b'| (|tptp.'tensor_op$'| |tptp.'a$'| |tptp.'b1$'|)) (|tptp.'tensor_op$'| |tptp.'a$'| |tptp.'b2$'|))) (|tptp.'fun_app$o'| |tptp.'ket$'| (|tptp.'fun_app$p'| (|tptp.'fun_app$q'| |tptp.'pair$'| |tptp.'i$'|) |tptp.'j$'|))) (|tptp.'plus$u'| (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| (|tptp.'tensor_op$'| |tptp.'a$'| |tptp.'b1$'|)) (|tptp.'fun_app$o'| |tptp.'ket$'| (|tptp.'fun_app$p'| (|tptp.'fun_app$q'| |tptp.'pair$'| |tptp.'i$'|) |tptp.'j$'|))) (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| (|tptp.'tensor_op$'| |tptp.'a$'| |tptp.'b2$'|)) (|tptp.'fun_app$o'| |tptp.'ket$'| (|tptp.'fun_app$p'| (|tptp.'fun_app$q'| |tptp.'pair$'| |tptp.'i$'|) |tptp.'j$'|)))))) :rule or :premises (t105.t1))
% 1.10/1.28 (step t105.t3 (cl (= (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| (|tptp.'fun_app$r'| (|tptp.'fun_app$s'| |tptp.'plus$b'| (|tptp.'tensor_op$'| |tptp.'a$'| |tptp.'b1$'|)) (|tptp.'tensor_op$'| |tptp.'a$'| |tptp.'b2$'|))) (|tptp.'fun_app$o'| |tptp.'ket$'| (|tptp.'fun_app$p'| (|tptp.'fun_app$q'| |tptp.'pair$'| |tptp.'i$'|) |tptp.'j$'|))) (|tptp.'plus$u'| (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| (|tptp.'tensor_op$'| |tptp.'a$'| |tptp.'b1$'|)) (|tptp.'fun_app$o'| |tptp.'ket$'| (|tptp.'fun_app$p'| (|tptp.'fun_app$q'| |tptp.'pair$'| |tptp.'i$'|) |tptp.'j$'|))) (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| (|tptp.'tensor_op$'| |tptp.'a$'| |tptp.'b2$'|)) (|tptp.'fun_app$o'| |tptp.'ket$'| (|tptp.'fun_app$p'| (|tptp.'fun_app$q'| |tptp.'pair$'| |tptp.'i$'|) |tptp.'j$'|)))))) :rule resolution :premises (t105.t2 t105.a0))
% 1.10/1.28 (step t105 (cl (not (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))))) (= (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| (|tptp.'fun_app$r'| (|tptp.'fun_app$s'| |tptp.'plus$b'| (|tptp.'tensor_op$'| |tptp.'a$'| |tptp.'b1$'|)) (|tptp.'tensor_op$'| |tptp.'a$'| |tptp.'b2$'|))) (|tptp.'fun_app$o'| |tptp.'ket$'| (|tptp.'fun_app$p'| (|tptp.'fun_app$q'| |tptp.'pair$'| |tptp.'i$'|) |tptp.'j$'|))) (|tptp.'plus$u'| (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| (|tptp.'tensor_op$'| |tptp.'a$'| |tptp.'b1$'|)) (|tptp.'fun_app$o'| |tptp.'ket$'| (|tptp.'fun_app$p'| (|tptp.'fun_app$q'| |tptp.'pair$'| |tptp.'i$'|) |tptp.'j$'|))) (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| (|tptp.'tensor_op$'| |tptp.'a$'| |tptp.'b2$'|)) (|tptp.'fun_app$o'| |tptp.'ket$'| (|tptp.'fun_app$p'| (|tptp.'fun_app$q'| |tptp.'pair$'| |tptp.'i$'|) |tptp.'j$'|)))))) :rule subproof :discharge (t105.a0))
% 1.10/1.28 (step t106 (cl (=> (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)))) (= (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| (|tptp.'fun_app$r'| (|tptp.'fun_app$s'| |tptp.'plus$b'| (|tptp.'tensor_op$'| |tptp.'a$'| |tptp.'b1$'|)) (|tptp.'tensor_op$'| |tptp.'a$'| |tptp.'b2$'|))) (|tptp.'fun_app$o'| |tptp.'ket$'| (|tptp.'fun_app$p'| (|tptp.'fun_app$q'| |tptp.'pair$'| |tptp.'i$'|) |tptp.'j$'|))) (|tptp.'plus$u'| (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| (|tptp.'tensor_op$'| |tptp.'a$'| |tptp.'b1$'|)) (|tptp.'fun_app$o'| |tptp.'ket$'| (|tptp.'fun_app$p'| (|tptp.'fun_app$q'| |tptp.'pair$'| |tptp.'i$'|) |tptp.'j$'|))) (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| (|tptp.'tensor_op$'| |tptp.'a$'| |tptp.'b2$'|)) (|tptp.'fun_app$o'| |tptp.'ket$'| (|tptp.'fun_app$p'| (|tptp.'fun_app$q'| |tptp.'pair$'| |tptp.'i$'|) |tptp.'j$'|)))))) (= (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| (|tptp.'fun_app$r'| (|tptp.'fun_app$s'| |tptp.'plus$b'| (|tptp.'tensor_op$'| |tptp.'a$'| |tptp.'b1$'|)) (|tptp.'tensor_op$'| |tptp.'a$'| |tptp.'b2$'|))) (|tptp.'fun_app$o'| |tptp.'ket$'| (|tptp.'fun_app$p'| (|tptp.'fun_app$q'| |tptp.'pair$'| |tptp.'i$'|) |tptp.'j$'|))) (|tptp.'plus$u'| (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| (|tptp.'tensor_op$'| |tptp.'a$'| |tptp.'b1$'|)) (|tptp.'fun_app$o'| |tptp.'ket$'| (|tptp.'fun_app$p'| (|tptp.'fun_app$q'| |tptp.'pair$'| |tptp.'i$'|) |tptp.'j$'|))) (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| (|tptp.'tensor_op$'| |tptp.'a$'| |tptp.'b2$'|)) (|tptp.'fun_app$o'| |tptp.'ket$'| (|tptp.'fun_app$p'| (|tptp.'fun_app$q'| |tptp.'pair$'| |tptp.'i$'|) |tptp.'j$'|)))))) :rule resolution :premises (t104 t105))
% 1.10/1.28 (step t107 (cl (=> (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)))) (= (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| (|tptp.'fun_app$r'| (|tptp.'fun_app$s'| |tptp.'plus$b'| (|tptp.'tensor_op$'| |tptp.'a$'| |tptp.'b1$'|)) (|tptp.'tensor_op$'| |tptp.'a$'| |tptp.'b2$'|))) (|tptp.'fun_app$o'| |tptp.'ket$'| (|tptp.'fun_app$p'| (|tptp.'fun_app$q'| |tptp.'pair$'| |tptp.'i$'|) |tptp.'j$'|))) (|tptp.'plus$u'| (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| (|tptp.'tensor_op$'| |tptp.'a$'| |tptp.'b1$'|)) (|tptp.'fun_app$o'| |tptp.'ket$'| (|tptp.'fun_app$p'| (|tptp.'fun_app$q'| |tptp.'pair$'| |tptp.'i$'|) |tptp.'j$'|))) (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| (|tptp.'tensor_op$'| |tptp.'a$'| |tptp.'b2$'|)) (|tptp.'fun_app$o'| |tptp.'ket$'| (|tptp.'fun_app$p'| (|tptp.'fun_app$q'| |tptp.'pair$'| |tptp.'i$'|) |tptp.'j$'|)))))) (not (= (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| (|tptp.'fun_app$r'| (|tptp.'fun_app$s'| |tptp.'plus$b'| (|tptp.'tensor_op$'| |tptp.'a$'| |tptp.'b1$'|)) (|tptp.'tensor_op$'| |tptp.'a$'| |tptp.'b2$'|))) (|tptp.'fun_app$o'| |tptp.'ket$'| (|tptp.'fun_app$p'| (|tptp.'fun_app$q'| |tptp.'pair$'| |tptp.'i$'|) |tptp.'j$'|))) (|tptp.'plus$u'| (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| (|tptp.'tensor_op$'| |tptp.'a$'| |tptp.'b1$'|)) (|tptp.'fun_app$o'| |tptp.'ket$'| (|tptp.'fun_app$p'| (|tptp.'fun_app$q'| |tptp.'pair$'| |tptp.'i$'|) |tptp.'j$'|))) (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| (|tptp.'tensor_op$'| |tptp.'a$'| |tptp.'b2$'|)) (|tptp.'fun_app$o'| |tptp.'ket$'| (|tptp.'fun_app$p'| (|tptp.'fun_app$q'| |tptp.'pair$'| |tptp.'i$'|) |tptp.'j$'|))))))) :rule implies_neg2)
% 1.10/1.28 (step t108 (cl (=> (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)))) (= (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| (|tptp.'fun_app$r'| (|tptp.'fun_app$s'| |tptp.'plus$b'| (|tptp.'tensor_op$'| |tptp.'a$'| |tptp.'b1$'|)) (|tptp.'tensor_op$'| |tptp.'a$'| |tptp.'b2$'|))) (|tptp.'fun_app$o'| |tptp.'ket$'| (|tptp.'fun_app$p'| (|tptp.'fun_app$q'| |tptp.'pair$'| |tptp.'i$'|) |tptp.'j$'|))) (|tptp.'plus$u'| (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| (|tptp.'tensor_op$'| |tptp.'a$'| |tptp.'b1$'|)) (|tptp.'fun_app$o'| |tptp.'ket$'| (|tptp.'fun_app$p'| (|tptp.'fun_app$q'| |tptp.'pair$'| |tptp.'i$'|) |tptp.'j$'|))) (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| (|tptp.'tensor_op$'| |tptp.'a$'| |tptp.'b2$'|)) (|tptp.'fun_app$o'| |tptp.'ket$'| (|tptp.'fun_app$p'| (|tptp.'fun_app$q'| |tptp.'pair$'| |tptp.'i$'|) |tptp.'j$'|)))))) (=> (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)))) (= (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| (|tptp.'fun_app$r'| (|tptp.'fun_app$s'| |tptp.'plus$b'| (|tptp.'tensor_op$'| |tptp.'a$'| |tptp.'b1$'|)) (|tptp.'tensor_op$'| |tptp.'a$'| |tptp.'b2$'|))) (|tptp.'fun_app$o'| |tptp.'ket$'| (|tptp.'fun_app$p'| (|tptp.'fun_app$q'| |tptp.'pair$'| |tptp.'i$'|) |tptp.'j$'|))) (|tptp.'plus$u'| (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| (|tptp.'tensor_op$'| |tptp.'a$'| |tptp.'b1$'|)) (|tptp.'fun_app$o'| |tptp.'ket$'| (|tptp.'fun_app$p'| (|tptp.'fun_app$q'| |tptp.'pair$'| |tptp.'i$'|) |tptp.'j$'|))) (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| (|tptp.'tensor_op$'| |tptp.'a$'| |tptp.'b2$'|)) (|tptp.'fun_app$o'| |tptp.'ket$'| (|tptp.'fun_app$p'| (|tptp.'fun_app$q'| |tptp.'pair$'| |tptp.'i$'|) |tptp.'j$'|))))))) :rule resolution :premises (t106 t107))
% 1.10/1.28 (step t109 (cl (=> (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)))) (= (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| (|tptp.'fun_app$r'| (|tptp.'fun_app$s'| |tptp.'plus$b'| (|tptp.'tensor_op$'| |tptp.'a$'| |tptp.'b1$'|)) (|tptp.'tensor_op$'| |tptp.'a$'| |tptp.'b2$'|))) (|tptp.'fun_app$o'| |tptp.'ket$'| (|tptp.'fun_app$p'| (|tptp.'fun_app$q'| |tptp.'pair$'| |tptp.'i$'|) |tptp.'j$'|))) (|tptp.'plus$u'| (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| (|tptp.'tensor_op$'| |tptp.'a$'| |tptp.'b1$'|)) (|tptp.'fun_app$o'| |tptp.'ket$'| (|tptp.'fun_app$p'| (|tptp.'fun_app$q'| |tptp.'pair$'| |tptp.'i$'|) |tptp.'j$'|))) (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| (|tptp.'tensor_op$'| |tptp.'a$'| |tptp.'b2$'|)) (|tptp.'fun_app$o'| |tptp.'ket$'| (|tptp.'fun_app$p'| (|tptp.'fun_app$q'| |tptp.'pair$'| |tptp.'i$'|) |tptp.'j$'|))))))) :rule contraction :premises (t108))
% 1.10/1.28 (step t110 (cl (not (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))))) (= (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| (|tptp.'fun_app$r'| (|tptp.'fun_app$s'| |tptp.'plus$b'| (|tptp.'tensor_op$'| |tptp.'a$'| |tptp.'b1$'|)) (|tptp.'tensor_op$'| |tptp.'a$'| |tptp.'b2$'|))) (|tptp.'fun_app$o'| |tptp.'ket$'| (|tptp.'fun_app$p'| (|tptp.'fun_app$q'| |tptp.'pair$'| |tptp.'i$'|) |tptp.'j$'|))) (|tptp.'plus$u'| (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| (|tptp.'tensor_op$'| |tptp.'a$'| |tptp.'b1$'|)) (|tptp.'fun_app$o'| |tptp.'ket$'| (|tptp.'fun_app$p'| (|tptp.'fun_app$q'| |tptp.'pair$'| |tptp.'i$'|) |tptp.'j$'|))) (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| (|tptp.'tensor_op$'| |tptp.'a$'| |tptp.'b2$'|)) (|tptp.'fun_app$o'| |tptp.'ket$'| (|tptp.'fun_app$p'| (|tptp.'fun_app$q'| |tptp.'pair$'| |tptp.'i$'|) |tptp.'j$'|)))))) :rule implies :premises (t109))
% 1.10/1.28 (step t111 (cl (= (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| (|tptp.'fun_app$r'| (|tptp.'fun_app$s'| |tptp.'plus$b'| (|tptp.'tensor_op$'| |tptp.'a$'| |tptp.'b1$'|)) (|tptp.'tensor_op$'| |tptp.'a$'| |tptp.'b2$'|))) (|tptp.'fun_app$o'| |tptp.'ket$'| (|tptp.'fun_app$p'| (|tptp.'fun_app$q'| |tptp.'pair$'| |tptp.'i$'|) |tptp.'j$'|))) (|tptp.'plus$u'| (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| (|tptp.'tensor_op$'| |tptp.'a$'| |tptp.'b1$'|)) (|tptp.'fun_app$o'| |tptp.'ket$'| (|tptp.'fun_app$p'| (|tptp.'fun_app$q'| |tptp.'pair$'| |tptp.'i$'|) |tptp.'j$'|))) (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| (|tptp.'tensor_op$'| |tptp.'a$'| |tptp.'b2$'|)) (|tptp.'fun_app$o'| |tptp.'ket$'| (|tptp.'fun_app$p'| (|tptp.'fun_app$q'| |tptp.'pair$'| |tptp.'i$'|) |tptp.'j$'|)))))) :rule resolution :premises (t110 a35))
% 1.10/1.28 (step t112 (cl (=> (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))))) (= (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| (|tptp.'tensor_op$'| |tptp.'a$'| (|tptp.'fun_app$m'| (|tptp.'fun_app$n'| |tptp.'plus$a'| |tptp.'b1$'|) |tptp.'b2$'|))) (|tptp.'fun_app$o'| |tptp.'ket$'| (|tptp.'fun_app$p'| (|tptp.'fun_app$q'| |tptp.'pair$'| |tptp.'i$'|) |tptp.'j$'|))) (|tptp.'tensor_ell2$'| (|tptp.'fun_app$t'| (|tptp.'cblinfun_apply$a'| |tptp.'a$'|) (|tptp.'ket$a'| |tptp.'i$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| (|tptp.'fun_app$m'| (|tptp.'fun_app$n'| |tptp.'plus$a'| |tptp.'b1$'|) |tptp.'b2$'|)) (|tptp.'ket$b'| |tptp.'j$'|))))) (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)))))) :rule implies_neg1)
% 1.10/1.28 (anchor :step t113)
% 1.10/1.28 (assume t113.a0 (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))))))
% 1.10/1.28 (step t113.t1 (cl (or (not (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)))))) (= (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| (|tptp.'tensor_op$'| |tptp.'a$'| (|tptp.'fun_app$m'| (|tptp.'fun_app$n'| |tptp.'plus$a'| |tptp.'b1$'|) |tptp.'b2$'|))) (|tptp.'fun_app$o'| |tptp.'ket$'| (|tptp.'fun_app$p'| (|tptp.'fun_app$q'| |tptp.'pair$'| |tptp.'i$'|) |tptp.'j$'|))) (|tptp.'tensor_ell2$'| (|tptp.'fun_app$t'| (|tptp.'cblinfun_apply$a'| |tptp.'a$'|) (|tptp.'ket$a'| |tptp.'i$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| (|tptp.'fun_app$m'| (|tptp.'fun_app$n'| |tptp.'plus$a'| |tptp.'b1$'|) |tptp.'b2$'|)) (|tptp.'ket$b'| |tptp.'j$'|)))))) :rule forall_inst :args ((:= A__questionmark_v0 |tptp.'a$'|) (:= A__questionmark_v1 (|tptp.'fun_app$m'| (|tptp.'fun_app$n'| |tptp.'plus$a'| |tptp.'b1$'|) |tptp.'b2$'|)) (:= A__questionmark_v2 |tptp.'i$'|) (:= A__questionmark_v3 |tptp.'j$'|)))
% 1.10/1.28 (step t113.t2 (cl (not (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)))))) (= (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| (|tptp.'tensor_op$'| |tptp.'a$'| (|tptp.'fun_app$m'| (|tptp.'fun_app$n'| |tptp.'plus$a'| |tptp.'b1$'|) |tptp.'b2$'|))) (|tptp.'fun_app$o'| |tptp.'ket$'| (|tptp.'fun_app$p'| (|tptp.'fun_app$q'| |tptp.'pair$'| |tptp.'i$'|) |tptp.'j$'|))) (|tptp.'tensor_ell2$'| (|tptp.'fun_app$t'| (|tptp.'cblinfun_apply$a'| |tptp.'a$'|) (|tptp.'ket$a'| |tptp.'i$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| (|tptp.'fun_app$m'| (|tptp.'fun_app$n'| |tptp.'plus$a'| |tptp.'b1$'|) |tptp.'b2$'|)) (|tptp.'ket$b'| |tptp.'j$'|))))) :rule or :premises (t113.t1))
% 1.10/1.28 (step t113.t3 (cl (= (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| (|tptp.'tensor_op$'| |tptp.'a$'| (|tptp.'fun_app$m'| (|tptp.'fun_app$n'| |tptp.'plus$a'| |tptp.'b1$'|) |tptp.'b2$'|))) (|tptp.'fun_app$o'| |tptp.'ket$'| (|tptp.'fun_app$p'| (|tptp.'fun_app$q'| |tptp.'pair$'| |tptp.'i$'|) |tptp.'j$'|))) (|tptp.'tensor_ell2$'| (|tptp.'fun_app$t'| (|tptp.'cblinfun_apply$a'| |tptp.'a$'|) (|tptp.'ket$a'| |tptp.'i$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| (|tptp.'fun_app$m'| (|tptp.'fun_app$n'| |tptp.'plus$a'| |tptp.'b1$'|) |tptp.'b2$'|)) (|tptp.'ket$b'| |tptp.'j$'|))))) :rule resolution :premises (t113.t2 t113.a0))
% 1.10/1.28 (step t113 (cl (not (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)))))) (= (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| (|tptp.'tensor_op$'| |tptp.'a$'| (|tptp.'fun_app$m'| (|tptp.'fun_app$n'| |tptp.'plus$a'| |tptp.'b1$'|) |tptp.'b2$'|))) (|tptp.'fun_app$o'| |tptp.'ket$'| (|tptp.'fun_app$p'| (|tptp.'fun_app$q'| |tptp.'pair$'| |tptp.'i$'|) |tptp.'j$'|))) (|tptp.'tensor_ell2$'| (|tptp.'fun_app$t'| (|tptp.'cblinfun_apply$a'| |tptp.'a$'|) (|tptp.'ket$a'| |tptp.'i$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| (|tptp.'fun_app$m'| (|tptp.'fun_app$n'| |tptp.'plus$a'| |tptp.'b1$'|) |tptp.'b2$'|)) (|tptp.'ket$b'| |tptp.'j$'|))))) :rule subproof :discharge (t113.a0))
% 1.10/1.28 (step t114 (cl (=> (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))))) (= (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| (|tptp.'tensor_op$'| |tptp.'a$'| (|tptp.'fun_app$m'| (|tptp.'fun_app$n'| |tptp.'plus$a'| |tptp.'b1$'|) |tptp.'b2$'|))) (|tptp.'fun_app$o'| |tptp.'ket$'| (|tptp.'fun_app$p'| (|tptp.'fun_app$q'| |tptp.'pair$'| |tptp.'i$'|) |tptp.'j$'|))) (|tptp.'tensor_ell2$'| (|tptp.'fun_app$t'| (|tptp.'cblinfun_apply$a'| |tptp.'a$'|) (|tptp.'ket$a'| |tptp.'i$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| (|tptp.'fun_app$m'| (|tptp.'fun_app$n'| |tptp.'plus$a'| |tptp.'b1$'|) |tptp.'b2$'|)) (|tptp.'ket$b'| |tptp.'j$'|))))) (= (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| (|tptp.'tensor_op$'| |tptp.'a$'| (|tptp.'fun_app$m'| (|tptp.'fun_app$n'| |tptp.'plus$a'| |tptp.'b1$'|) |tptp.'b2$'|))) (|tptp.'fun_app$o'| |tptp.'ket$'| (|tptp.'fun_app$p'| (|tptp.'fun_app$q'| |tptp.'pair$'| |tptp.'i$'|) |tptp.'j$'|))) (|tptp.'tensor_ell2$'| (|tptp.'fun_app$t'| (|tptp.'cblinfun_apply$a'| |tptp.'a$'|) (|tptp.'ket$a'| |tptp.'i$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| (|tptp.'fun_app$m'| (|tptp.'fun_app$n'| |tptp.'plus$a'| |tptp.'b1$'|) |tptp.'b2$'|)) (|tptp.'ket$b'| |tptp.'j$'|))))) :rule resolution :premises (t112 t113))
% 1.10/1.28 (step t115 (cl (=> (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))))) (= (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| (|tptp.'tensor_op$'| |tptp.'a$'| (|tptp.'fun_app$m'| (|tptp.'fun_app$n'| |tptp.'plus$a'| |tptp.'b1$'|) |tptp.'b2$'|))) (|tptp.'fun_app$o'| |tptp.'ket$'| (|tptp.'fun_app$p'| (|tptp.'fun_app$q'| |tptp.'pair$'| |tptp.'i$'|) |tptp.'j$'|))) (|tptp.'tensor_ell2$'| (|tptp.'fun_app$t'| (|tptp.'cblinfun_apply$a'| |tptp.'a$'|) (|tptp.'ket$a'| |tptp.'i$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| (|tptp.'fun_app$m'| (|tptp.'fun_app$n'| |tptp.'plus$a'| |tptp.'b1$'|) |tptp.'b2$'|)) (|tptp.'ket$b'| |tptp.'j$'|))))) (not (= (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| (|tptp.'tensor_op$'| |tptp.'a$'| (|tptp.'fun_app$m'| (|tptp.'fun_app$n'| |tptp.'plus$a'| |tptp.'b1$'|) |tptp.'b2$'|))) (|tptp.'fun_app$o'| |tptp.'ket$'| (|tptp.'fun_app$p'| (|tptp.'fun_app$q'| |tptp.'pair$'| |tptp.'i$'|) |tptp.'j$'|))) (|tptp.'tensor_ell2$'| (|tptp.'fun_app$t'| (|tptp.'cblinfun_apply$a'| |tptp.'a$'|) (|tptp.'ket$a'| |tptp.'i$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| (|tptp.'fun_app$m'| (|tptp.'fun_app$n'| |tptp.'plus$a'| |tptp.'b1$'|) |tptp.'b2$'|)) (|tptp.'ket$b'| |tptp.'j$'|)))))) :rule implies_neg2)
% 1.10/1.28 (step t116 (cl (=> (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))))) (= (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| (|tptp.'tensor_op$'| |tptp.'a$'| (|tptp.'fun_app$m'| (|tptp.'fun_app$n'| |tptp.'plus$a'| |tptp.'b1$'|) |tptp.'b2$'|))) (|tptp.'fun_app$o'| |tptp.'ket$'| (|tptp.'fun_app$p'| (|tptp.'fun_app$q'| |tptp.'pair$'| |tptp.'i$'|) |tptp.'j$'|))) (|tptp.'tensor_ell2$'| (|tptp.'fun_app$t'| (|tptp.'cblinfun_apply$a'| |tptp.'a$'|) (|tptp.'ket$a'| |tptp.'i$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| (|tptp.'fun_app$m'| (|tptp.'fun_app$n'| |tptp.'plus$a'| |tptp.'b1$'|) |tptp.'b2$'|)) (|tptp.'ket$b'| |tptp.'j$'|))))) (=> (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))))) (= (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| (|tptp.'tensor_op$'| |tptp.'a$'| (|tptp.'fun_app$m'| (|tptp.'fun_app$n'| |tptp.'plus$a'| |tptp.'b1$'|) |tptp.'b2$'|))) (|tptp.'fun_app$o'| |tptp.'ket$'| (|tptp.'fun_app$p'| (|tptp.'fun_app$q'| |tptp.'pair$'| |tptp.'i$'|) |tptp.'j$'|))) (|tptp.'tensor_ell2$'| (|tptp.'fun_app$t'| (|tptp.'cblinfun_apply$a'| |tptp.'a$'|) (|tptp.'ket$a'| |tptp.'i$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| (|tptp.'fun_app$m'| (|tptp.'fun_app$n'| |tptp.'plus$a'| |tptp.'b1$'|) |tptp.'b2$'|)) (|tptp.'ket$b'| |tptp.'j$'|)))))) :rule resolution :premises (t114 t115))
% 1.10/1.28 (step t117 (cl (=> (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))))) (= (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| (|tptp.'tensor_op$'| |tptp.'a$'| (|tptp.'fun_app$m'| (|tptp.'fun_app$n'| |tptp.'plus$a'| |tptp.'b1$'|) |tptp.'b2$'|))) (|tptp.'fun_app$o'| |tptp.'ket$'| (|tptp.'fun_app$p'| (|tptp.'fun_app$q'| |tptp.'pair$'| |tptp.'i$'|) |tptp.'j$'|))) (|tptp.'tensor_ell2$'| (|tptp.'fun_app$t'| (|tptp.'cblinfun_apply$a'| |tptp.'a$'|) (|tptp.'ket$a'| |tptp.'i$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| (|tptp.'fun_app$m'| (|tptp.'fun_app$n'| |tptp.'plus$a'| |tptp.'b1$'|) |tptp.'b2$'|)) (|tptp.'ket$b'| |tptp.'j$'|)))))) :rule contraction :premises (t116))
% 1.10/1.28 (step t118 (cl (not (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)))))) (= (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| (|tptp.'tensor_op$'| |tptp.'a$'| (|tptp.'fun_app$m'| (|tptp.'fun_app$n'| |tptp.'plus$a'| |tptp.'b1$'|) |tptp.'b2$'|))) (|tptp.'fun_app$o'| |tptp.'ket$'| (|tptp.'fun_app$p'| (|tptp.'fun_app$q'| |tptp.'pair$'| |tptp.'i$'|) |tptp.'j$'|))) (|tptp.'tensor_ell2$'| (|tptp.'fun_app$t'| (|tptp.'cblinfun_apply$a'| |tptp.'a$'|) (|tptp.'ket$a'| |tptp.'i$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| (|tptp.'fun_app$m'| (|tptp.'fun_app$n'| |tptp.'plus$a'| |tptp.'b1$'|) |tptp.'b2$'|)) (|tptp.'ket$b'| |tptp.'j$'|))))) :rule implies :premises (t117))
% 1.10/1.28 (step t119 (cl (= (|tptp.'fun_app$k'| (|tptp.'fun_app$l'| |tptp.'cblinfun_apply$'| (|tptp.'tensor_op$'| |tptp.'a$'| (|tptp.'fun_app$m'| (|tptp.'fun_app$n'| |tptp.'plus$a'| |tptp.'b1$'|) |tptp.'b2$'|))) (|tptp.'fun_app$o'| |tptp.'ket$'| (|tptp.'fun_app$p'| (|tptp.'fun_app$q'| |tptp.'pair$'| |tptp.'i$'|) |tptp.'j$'|))) (|tptp.'tensor_ell2$'| (|tptp.'fun_app$t'| (|tptp.'cblinfun_apply$a'| |tptp.'a$'|) (|tptp.'ket$a'| |tptp.'i$'|)) (|tptp.'fun_app$u'| (|tptp.'cblinfun_apply$b'| (|tptp.'fun_app$m'| (|tptp.'fun_app$n'| |tptp.'plus$a'| |tptp.'b1$'|) |tptp.'b2$'|)) (|tptp.'ket$b'| |tptp.'j$'|))))) :rule resolution :premises (t118 a20))
% 1.10/1.28 (step t120 (cl) :rule resolution :premises (t71 t79 t87 t95 t103 t111 t119 a9))
% 1.10/1.28
% 1.10/1.28 % SZS output end Proof for /export/starexec/sandbox/tmp/tmp.Rh2x11e57D/cvc5---1.0.5_23115.smt2
% 1.10/1.28 % cvc5---1.0.5 exiting
% 1.10/1.29 % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------