%------------------------------------------------------------------------------
% File : Z3---4.15.1
% Problem : ITP387_1 : TPTP v9.0.0. Released v8.0.0.
% Transfm : none
% Format : tptp
% Command : run_E %s %d THM
% Computer : n006.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 : Sat Jun 21 05:12:47 AM UTC 2025
% Result : Theorem 4.51s 4.67s
% Output : Proof 4.51s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : ITP387_1 : TPTP v9.0.0. Released v8.0.0.
% 0.03/0.12 % Command : run_E %s %d THM
% 0.12/0.33 % Computer : n006.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Thu Jun 19 18:47:50 EDT 2025
% 0.12/0.33 % CPUTime :
% 4.51/4.67 % SZS status Theorem
% 4.51/4.67 % SZS output start Proof
% 4.51/4.67 tff(tptp_fun__fun_app_k__type, type, (
% 4.51/4.67 tptp_fun__fun_app_k_: ( |'A_c_prod_ell2_b_d_prod_ell2_fun$'| * |'A_c_prod_ell2$'| ) > |'B_d_prod_ell2$'|)).
% 4.51/4.67 tff(tptp_fun__fun_app_o__type, type, (
% 4.51/4.67 tptp_fun__fun_app_o_: ( |'A_c_prod_a_c_prod_ell2_fun$'| * |'A_c_prod$'| ) > |'A_c_prod_ell2$'|)).
% 4.51/4.67 tff(tptp_fun__fun_app_p__type, type, (
% 4.51/4.67 tptp_fun__fun_app_p_: ( |'C_a_c_prod_fun$'| * |'C$'| ) > |'A_c_prod$'|)).
% 4.51/4.67 tff(tptp_fun__j___type, type, (
% 4.51/4.67 tptp_fun__j__: |'C$'|)).
% 4.51/4.67 tff(tptp_fun__fun_app_q__type, type, (
% 4.51/4.67 tptp_fun__fun_app_q_: ( |'A_c_a_c_prod_fun_fun$'| * |'A$'| ) > |'C_a_c_prod_fun$'|)).
% 4.51/4.67 tff(tptp_fun__i___type, type, (
% 4.51/4.67 tptp_fun__i__: |'A$'|)).
% 4.51/4.67 tff(tptp_fun__pair___type, type, (
% 4.51/4.67 tptp_fun__pair__: |'A_c_a_c_prod_fun_fun$'|)).
% 4.51/4.67 tff(tptp_fun__ket___type, type, (
% 4.51/4.67 tptp_fun__ket__: |'A_c_prod_a_c_prod_ell2_fun$'|)).
% 4.51/4.67 tff(tptp_fun__fun_app_l__type, type, (
% 4.51/4.67 tptp_fun__fun_app_l_: ( |'A_c_prod_ell2_b_d_prod_ell2_cblinfun_a_c_prod_ell2_b_d_prod_ell2_fun_fun$'| * |'A_c_prod_ell2_b_d_prod_ell2_cblinfun$'| ) > |'A_c_prod_ell2_b_d_prod_ell2_fun$'|)).
% 4.51/4.67 tff(tptp_fun__fun_app_r__type, type, (
% 4.51/4.67 tptp_fun__fun_app_r_: ( |'A_c_prod_ell2_b_d_prod_ell2_cblinfun_a_c_prod_ell2_b_d_prod_ell2_cblinfun_fun$'| * |'A_c_prod_ell2_b_d_prod_ell2_cblinfun$'| ) > |'A_c_prod_ell2_b_d_prod_ell2_cblinfun$'|)).
% 4.51/4.67 tff(tptp_fun__tensor_op___type, type, (
% 4.51/4.67 tptp_fun__tensor_op__: ( |'A_ell2_b_ell2_cblinfun$'| * |'C_ell2_d_ell2_cblinfun$'| ) > |'A_c_prod_ell2_b_d_prod_ell2_cblinfun$'|)).
% 4.51/4.67 tff(tptp_fun__b2___type, type, (
% 4.51/4.67 tptp_fun__b2__: |'C_ell2_d_ell2_cblinfun$'|)).
% 4.51/4.67 tff(tptp_fun__a___type, type, (
% 4.51/4.67 tptp_fun__a__: |'A_ell2_b_ell2_cblinfun$'|)).
% 4.51/4.67 tff(tptp_fun__fun_app_s__type, type, (
% 4.51/4.67 tptp_fun__fun_app_s_: ( |'A_c_prod_ell2_b_d_prod_ell2_cblinfun_a_c_prod_ell2_b_d_prod_ell2_cblinfun_a_c_prod_ell2_b_d_prod_ell2_cblinfun_fun_fun$'| * |'A_c_prod_ell2_b_d_prod_ell2_cblinfun$'| ) > |'A_c_prod_ell2_b_d_prod_ell2_cblinfun_a_c_prod_ell2_b_d_prod_ell2_cblinfun_fun$'|)).
% 4.51/4.67 tff(tptp_fun__b1___type, type, (
% 4.51/4.67 tptp_fun__b1__: |'C_ell2_d_ell2_cblinfun$'|)).
% 4.51/4.67 tff(tptp_fun__plus_b__type, type, (
% 4.51/4.67 tptp_fun__plus_b_: |'A_c_prod_ell2_b_d_prod_ell2_cblinfun_a_c_prod_ell2_b_d_prod_ell2_cblinfun_a_c_prod_ell2_b_d_prod_ell2_cblinfun_fun_fun$'|)).
% 4.51/4.67 tff(tptp_fun__cblinfun_apply___type, type, (
% 4.51/4.67 tptp_fun__cblinfun_apply__: |'A_c_prod_ell2_b_d_prod_ell2_cblinfun_a_c_prod_ell2_b_d_prod_ell2_fun_fun$'|)).
% 4.51/4.67 tff(tptp_fun__fun_app_m__type, type, (
% 4.51/4.67 tptp_fun__fun_app_m_: ( |'C_ell2_d_ell2_cblinfun_c_ell2_d_ell2_cblinfun_fun$'| * |'C_ell2_d_ell2_cblinfun$'| ) > |'C_ell2_d_ell2_cblinfun$'|)).
% 4.51/4.67 tff(tptp_fun__fun_app_n__type, type, (
% 4.51/4.67 tptp_fun__fun_app_n_: ( |'C_ell2_d_ell2_cblinfun_c_ell2_d_ell2_cblinfun_c_ell2_d_ell2_cblinfun_fun_fun$'| * |'C_ell2_d_ell2_cblinfun$'| ) > |'C_ell2_d_ell2_cblinfun_c_ell2_d_ell2_cblinfun_fun$'|)).
% 4.51/4.67 tff(tptp_fun__plus_a__type, type, (
% 4.51/4.67 tptp_fun__plus_a_: |'C_ell2_d_ell2_cblinfun_c_ell2_d_ell2_cblinfun_c_ell2_d_ell2_cblinfun_fun_fun$'|)).
% 4.51/4.67 tff(tptp_fun__plus_u__type, type, (
% 4.51/4.67 tptp_fun__plus_u_: ( |'B_d_prod_ell2$'| * |'B_d_prod_ell2$'| ) > |'B_d_prod_ell2$'|)).
% 4.51/4.67 tff(tptp_fun__tensor_ell2___type, type, (
% 4.51/4.67 tptp_fun__tensor_ell2__: ( |'B_ell2$'| * |'D_ell2$'| ) > |'B_d_prod_ell2$'|)).
% 4.51/4.67 tff(tptp_fun__fun_app_u__type, type, (
% 4.51/4.67 tptp_fun__fun_app_u_: ( |'C_ell2_d_ell2_fun$'| * |'C_ell2$'| ) > |'D_ell2$'|)).
% 4.51/4.67 tff(tptp_fun__ket_b__type, type, (
% 4.51/4.67 tptp_fun__ket_b_: |'C$'| > |'C_ell2$'|)).
% 4.51/4.67 tff(tptp_fun__cblinfun_apply_b__type, type, (
% 4.51/4.67 tptp_fun__cblinfun_apply_b_: |'C_ell2_d_ell2_cblinfun$'| > |'C_ell2_d_ell2_fun$'|)).
% 4.51/4.67 tff(tptp_fun__fun_app_t__type, type, (
% 4.51/4.67 tptp_fun__fun_app_t_: ( |'A_ell2_b_ell2_fun$'| * |'A_ell2$'| ) > |'B_ell2$'|)).
% 4.51/4.67 tff(tptp_fun__ket_a__type, type, (
% 4.51/4.67 tptp_fun__ket_a_: |'A$'| > |'A_ell2$'|)).
% 4.51/4.67 tff(tptp_fun__cblinfun_apply_a__type, type, (
% 4.51/4.67 tptp_fun__cblinfun_apply_a_: |'A_ell2_b_ell2_cblinfun$'| > |'A_ell2_b_ell2_fun$'|)).
% 4.51/4.67 tff(tptp_fun__plus_i__type, type, (
% 4.51/4.67 tptp_fun__plus_i_: ( |'D_ell2$'| * |'D_ell2$'| ) > |'D_ell2$'|)).
% 4.51/4.67 tff(tptp_fun__minus_b__type, type, (
% 4.51/4.67 tptp_fun__minus_b_: |'C_ell2_d_ell2_cblinfun$'| > |'C_ell2_d_ell2_cblinfun_c_ell2_d_ell2_cblinfun_fun$'|)).
% 4.51/4.67 tff(1,plain,
% 4.51/4.67 (^[A__questionmark_v0: |'A_c_prod_ell2_b_d_prod_ell2_cblinfun$'|, A__questionmark_v1: |'A_c_prod_ell2_b_d_prod_ell2_cblinfun$'|, A__questionmark_v2: |'A_c_prod_ell2$'|] : refl((tptp_fun__fun_app_k_(tptp_fun__fun_app_l_(|'cblinfun_apply$'|, tptp_fun__fun_app_r_(tptp_fun__fun_app_s_(|'plus$b'|, A__questionmark_v0), A__questionmark_v1)), A__questionmark_v2) = tptp_fun__plus_u_(tptp_fun__fun_app_k_(tptp_fun__fun_app_l_(|'cblinfun_apply$'|, A__questionmark_v0), A__questionmark_v2), tptp_fun__fun_app_k_(tptp_fun__fun_app_l_(|'cblinfun_apply$'|, A__questionmark_v1), A__questionmark_v2))) <=> (tptp_fun__fun_app_k_(tptp_fun__fun_app_l_(|'cblinfun_apply$'|, tptp_fun__fun_app_r_(tptp_fun__fun_app_s_(|'plus$b'|, A__questionmark_v0), A__questionmark_v1)), A__questionmark_v2) = tptp_fun__plus_u_(tptp_fun__fun_app_k_(tptp_fun__fun_app_l_(|'cblinfun_apply$'|, A__questionmark_v0), A__questionmark_v2), tptp_fun__fun_app_k_(tptp_fun__fun_app_l_(|'cblinfun_apply$'|, A__questionmark_v1), A__questionmark_v2))))),
% 4.51/4.67 inference(bind,[status(th)],[])).
% 4.51/4.67 tff(2,plain,
% 4.51/4.67 (![A__questionmark_v0: |'A_c_prod_ell2_b_d_prod_ell2_cblinfun$'|, A__questionmark_v1: |'A_c_prod_ell2_b_d_prod_ell2_cblinfun$'|, A__questionmark_v2: |'A_c_prod_ell2$'|] : (tptp_fun__fun_app_k_(tptp_fun__fun_app_l_(|'cblinfun_apply$'|, tptp_fun__fun_app_r_(tptp_fun__fun_app_s_(|'plus$b'|, A__questionmark_v0), A__questionmark_v1)), A__questionmark_v2) = tptp_fun__plus_u_(tptp_fun__fun_app_k_(tptp_fun__fun_app_l_(|'cblinfun_apply$'|, A__questionmark_v0), A__questionmark_v2), tptp_fun__fun_app_k_(tptp_fun__fun_app_l_(|'cblinfun_apply$'|, A__questionmark_v1), A__questionmark_v2))) <=> ![A__questionmark_v0: |'A_c_prod_ell2_b_d_prod_ell2_cblinfun$'|, A__questionmark_v1: |'A_c_prod_ell2_b_d_prod_ell2_cblinfun$'|, A__questionmark_v2: |'A_c_prod_ell2$'|] : (tptp_fun__fun_app_k_(tptp_fun__fun_app_l_(|'cblinfun_apply$'|, tptp_fun__fun_app_r_(tptp_fun__fun_app_s_(|'plus$b'|, A__questionmark_v0), A__questionmark_v1)), A__questionmark_v2) = tptp_fun__plus_u_(tptp_fun__fun_app_k_(tptp_fun__fun_app_l_(|'cblinfun_apply$'|, A__questionmark_v0), A__questionmark_v2), tptp_fun__fun_app_k_(tptp_fun__fun_app_l_(|'cblinfun_apply$'|, A__questionmark_v1), A__questionmark_v2)))),
% 4.51/4.67 inference(quant_intro,[status(thm)],[1])).
% 4.51/4.67 tff(3,plain,
% 4.51/4.67 (![A__questionmark_v0: |'A_c_prod_ell2_b_d_prod_ell2_cblinfun$'|, A__questionmark_v1: |'A_c_prod_ell2_b_d_prod_ell2_cblinfun$'|, A__questionmark_v2: |'A_c_prod_ell2$'|] : (tptp_fun__fun_app_k_(tptp_fun__fun_app_l_(|'cblinfun_apply$'|, tptp_fun__fun_app_r_(tptp_fun__fun_app_s_(|'plus$b'|, A__questionmark_v0), A__questionmark_v1)), A__questionmark_v2) = tptp_fun__plus_u_(tptp_fun__fun_app_k_(tptp_fun__fun_app_l_(|'cblinfun_apply$'|, A__questionmark_v0), A__questionmark_v2), tptp_fun__fun_app_k_(tptp_fun__fun_app_l_(|'cblinfun_apply$'|, A__questionmark_v1), A__questionmark_v2))) <=> ![A__questionmark_v0: |'A_c_prod_ell2_b_d_prod_ell2_cblinfun$'|, A__questionmark_v1: |'A_c_prod_ell2_b_d_prod_ell2_cblinfun$'|, A__questionmark_v2: |'A_c_prod_ell2$'|] : (tptp_fun__fun_app_k_(tptp_fun__fun_app_l_(|'cblinfun_apply$'|, tptp_fun__fun_app_r_(tptp_fun__fun_app_s_(|'plus$b'|, A__questionmark_v0), A__questionmark_v1)), A__questionmark_v2) = tptp_fun__plus_u_(tptp_fun__fun_app_k_(tptp_fun__fun_app_l_(|'cblinfun_apply$'|, A__questionmark_v0), A__questionmark_v2), tptp_fun__fun_app_k_(tptp_fun__fun_app_l_(|'cblinfun_apply$'|, A__questionmark_v1), A__questionmark_v2)))),
% 4.51/4.67 inference(rewrite,[status(thm)],[])).
% 4.51/4.67 tff(4,axiom,(![A__questionmark_v0: |'A_c_prod_ell2_b_d_prod_ell2_cblinfun$'|, A__questionmark_v1: |'A_c_prod_ell2_b_d_prod_ell2_cblinfun$'|, A__questionmark_v2: |'A_c_prod_ell2$'|] : (tptp_fun__fun_app_k_(tptp_fun__fun_app_l_(|'cblinfun_apply$'|, tptp_fun__fun_app_r_(tptp_fun__fun_app_s_(|'plus$b'|, A__questionmark_v0), A__questionmark_v1)), A__questionmark_v2) = tptp_fun__plus_u_(tptp_fun__fun_app_k_(tptp_fun__fun_app_l_(|'cblinfun_apply$'|, A__questionmark_v0), A__questionmark_v2), tptp_fun__fun_app_k_(tptp_fun__fun_app_l_(|'cblinfun_apply$'|, A__questionmark_v1), A__questionmark_v2)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','axiom35')).
% 4.51/4.67 tff(5,plain,
% 4.51/4.67 (![A__questionmark_v0: |'A_c_prod_ell2_b_d_prod_ell2_cblinfun$'|, A__questionmark_v1: |'A_c_prod_ell2_b_d_prod_ell2_cblinfun$'|, A__questionmark_v2: |'A_c_prod_ell2$'|] : (tptp_fun__fun_app_k_(tptp_fun__fun_app_l_(|'cblinfun_apply$'|, tptp_fun__fun_app_r_(tptp_fun__fun_app_s_(|'plus$b'|, A__questionmark_v0), A__questionmark_v1)), A__questionmark_v2) = tptp_fun__plus_u_(tptp_fun__fun_app_k_(tptp_fun__fun_app_l_(|'cblinfun_apply$'|, A__questionmark_v0), A__questionmark_v2), tptp_fun__fun_app_k_(tptp_fun__fun_app_l_(|'cblinfun_apply$'|, A__questionmark_v1), A__questionmark_v2)))),
% 4.51/4.67 inference(modus_ponens,[status(thm)],[4, 3])).
% 4.51/4.67 tff(6,plain,(
% 4.51/4.67 ![A__questionmark_v0: |'A_c_prod_ell2_b_d_prod_ell2_cblinfun$'|, A__questionmark_v1: |'A_c_prod_ell2_b_d_prod_ell2_cblinfun$'|, A__questionmark_v2: |'A_c_prod_ell2$'|] : (tptp_fun__fun_app_k_(tptp_fun__fun_app_l_(|'cblinfun_apply$'|, tptp_fun__fun_app_r_(tptp_fun__fun_app_s_(|'plus$b'|, A__questionmark_v0), A__questionmark_v1)), A__questionmark_v2) = tptp_fun__plus_u_(tptp_fun__fun_app_k_(tptp_fun__fun_app_l_(|'cblinfun_apply$'|, A__questionmark_v0), A__questionmark_v2), tptp_fun__fun_app_k_(tptp_fun__fun_app_l_(|'cblinfun_apply$'|, A__questionmark_v1), A__questionmark_v2)))),
% 4.51/4.67 inference(skolemize,[status(sab)],[5])).
% 4.51/4.67 tff(7,plain,
% 4.51/4.67 (![A__questionmark_v0: |'A_c_prod_ell2_b_d_prod_ell2_cblinfun$'|, A__questionmark_v1: |'A_c_prod_ell2_b_d_prod_ell2_cblinfun$'|, A__questionmark_v2: |'A_c_prod_ell2$'|] : (tptp_fun__fun_app_k_(tptp_fun__fun_app_l_(|'cblinfun_apply$'|, tptp_fun__fun_app_r_(tptp_fun__fun_app_s_(|'plus$b'|, A__questionmark_v0), A__questionmark_v1)), A__questionmark_v2) = tptp_fun__plus_u_(tptp_fun__fun_app_k_(tptp_fun__fun_app_l_(|'cblinfun_apply$'|, A__questionmark_v0), A__questionmark_v2), tptp_fun__fun_app_k_(tptp_fun__fun_app_l_(|'cblinfun_apply$'|, A__questionmark_v1), A__questionmark_v2)))),
% 4.51/4.67 inference(modus_ponens,[status(thm)],[6, 2])).
% 4.51/4.67 tff(8,plain,
% 4.51/4.67 ((~![A__questionmark_v0: |'A_c_prod_ell2_b_d_prod_ell2_cblinfun$'|, A__questionmark_v1: |'A_c_prod_ell2_b_d_prod_ell2_cblinfun$'|, A__questionmark_v2: |'A_c_prod_ell2$'|] : (tptp_fun__fun_app_k_(tptp_fun__fun_app_l_(|'cblinfun_apply$'|, tptp_fun__fun_app_r_(tptp_fun__fun_app_s_(|'plus$b'|, A__questionmark_v0), A__questionmark_v1)), A__questionmark_v2) = tptp_fun__plus_u_(tptp_fun__fun_app_k_(tptp_fun__fun_app_l_(|'cblinfun_apply$'|, A__questionmark_v0), A__questionmark_v2), tptp_fun__fun_app_k_(tptp_fun__fun_app_l_(|'cblinfun_apply$'|, A__questionmark_v1), A__questionmark_v2)))) | (tptp_fun__fun_app_k_(tptp_fun__fun_app_l_(|'cblinfun_apply$'|, tptp_fun__fun_app_r_(tptp_fun__fun_app_s_(|'plus$b'|, tptp_fun__tensor_op__(|'a$'|, |'b1$'|)), tptp_fun__tensor_op__(|'a$'|, |'b2$'|))), tptp_fun__fun_app_o_(|'ket$'|, tptp_fun__fun_app_p_(tptp_fun__fun_app_q_(|'pair$'|, |'i$'|), |'j$'|))) = tptp_fun__plus_u_(tptp_fun__fun_app_k_(tptp_fun__fun_app_l_(|'cblinfun_apply$'|, tptp_fun__tensor_op__(|'a$'|, |'b1$'|)), tptp_fun__fun_app_o_(|'ket$'|, tptp_fun__fun_app_p_(tptp_fun__fun_app_q_(|'pair$'|, |'i$'|), |'j$'|))), tptp_fun__fun_app_k_(tptp_fun__fun_app_l_(|'cblinfun_apply$'|, tptp_fun__tensor_op__(|'a$'|, |'b2$'|)), tptp_fun__fun_app_o_(|'ket$'|, tptp_fun__fun_app_p_(tptp_fun__fun_app_q_(|'pair$'|, |'i$'|), |'j$'|)))))),
% 4.51/4.67 inference(quant_inst,[status(thm)],[])).
% 4.51/4.67 tff(9,plain,
% 4.51/4.67 (tptp_fun__fun_app_k_(tptp_fun__fun_app_l_(|'cblinfun_apply$'|, tptp_fun__fun_app_r_(tptp_fun__fun_app_s_(|'plus$b'|, tptp_fun__tensor_op__(|'a$'|, |'b1$'|)), tptp_fun__tensor_op__(|'a$'|, |'b2$'|))), tptp_fun__fun_app_o_(|'ket$'|, tptp_fun__fun_app_p_(tptp_fun__fun_app_q_(|'pair$'|, |'i$'|), |'j$'|))) = tptp_fun__plus_u_(tptp_fun__fun_app_k_(tptp_fun__fun_app_l_(|'cblinfun_apply$'|, tptp_fun__tensor_op__(|'a$'|, |'b1$'|)), tptp_fun__fun_app_o_(|'ket$'|, tptp_fun__fun_app_p_(tptp_fun__fun_app_q_(|'pair$'|, |'i$'|), |'j$'|))), tptp_fun__fun_app_k_(tptp_fun__fun_app_l_(|'cblinfun_apply$'|, tptp_fun__tensor_op__(|'a$'|, |'b2$'|)), tptp_fun__fun_app_o_(|'ket$'|, tptp_fun__fun_app_p_(tptp_fun__fun_app_q_(|'pair$'|, |'i$'|), |'j$'|))))),
% 4.51/4.67 inference(unit_resolution,[status(thm)],[8, 7])).
% 4.51/4.67 tff(10,plain,
% 4.51/4.67 (tptp_fun__plus_u_(tptp_fun__fun_app_k_(tptp_fun__fun_app_l_(|'cblinfun_apply$'|, tptp_fun__tensor_op__(|'a$'|, |'b1$'|)), tptp_fun__fun_app_o_(|'ket$'|, tptp_fun__fun_app_p_(tptp_fun__fun_app_q_(|'pair$'|, |'i$'|), |'j$'|))), tptp_fun__fun_app_k_(tptp_fun__fun_app_l_(|'cblinfun_apply$'|, tptp_fun__tensor_op__(|'a$'|, |'b2$'|)), tptp_fun__fun_app_o_(|'ket$'|, tptp_fun__fun_app_p_(tptp_fun__fun_app_q_(|'pair$'|, |'i$'|), |'j$'|)))) = tptp_fun__fun_app_k_(tptp_fun__fun_app_l_(|'cblinfun_apply$'|, tptp_fun__fun_app_r_(tptp_fun__fun_app_s_(|'plus$b'|, tptp_fun__tensor_op__(|'a$'|, |'b1$'|)), tptp_fun__tensor_op__(|'a$'|, |'b2$'|))), tptp_fun__fun_app_o_(|'ket$'|, tptp_fun__fun_app_p_(tptp_fun__fun_app_q_(|'pair$'|, |'i$'|), |'j$'|)))),
% 4.51/4.67 inference(symmetry,[status(thm)],[9])).
% 4.51/4.67 tff(11,plain,
% 4.51/4.67 (^[A__questionmark_v0: |'A_ell2_b_ell2_cblinfun$'|, A__questionmark_v1: |'C_ell2_d_ell2_cblinfun$'|, A__questionmark_v2: |'A$'|, A__questionmark_v3: |'C$'|] : refl((tptp_fun__fun_app_k_(tptp_fun__fun_app_l_(|'cblinfun_apply$'|, tptp_fun__tensor_op__(A__questionmark_v0, A__questionmark_v1)), tptp_fun__fun_app_o_(|'ket$'|, tptp_fun__fun_app_p_(tptp_fun__fun_app_q_(|'pair$'|, A__questionmark_v2), A__questionmark_v3))) = tptp_fun__tensor_ell2__(tptp_fun__fun_app_t_(tptp_fun__cblinfun_apply_a_(A__questionmark_v0), tptp_fun__ket_a_(A__questionmark_v2)), tptp_fun__fun_app_u_(tptp_fun__cblinfun_apply_b_(A__questionmark_v1), tptp_fun__ket_b_(A__questionmark_v3)))) <=> (tptp_fun__fun_app_k_(tptp_fun__fun_app_l_(|'cblinfun_apply$'|, tptp_fun__tensor_op__(A__questionmark_v0, A__questionmark_v1)), tptp_fun__fun_app_o_(|'ket$'|, tptp_fun__fun_app_p_(tptp_fun__fun_app_q_(|'pair$'|, A__questionmark_v2), A__questionmark_v3))) = tptp_fun__tensor_ell2__(tptp_fun__fun_app_t_(tptp_fun__cblinfun_apply_a_(A__questionmark_v0), tptp_fun__ket_a_(A__questionmark_v2)), tptp_fun__fun_app_u_(tptp_fun__cblinfun_apply_b_(A__questionmark_v1), tptp_fun__ket_b_(A__questionmark_v3)))))),
% 4.51/4.67 inference(bind,[status(th)],[])).
% 4.51/4.67 tff(12,plain,
% 4.51/4.67 (![A__questionmark_v0: |'A_ell2_b_ell2_cblinfun$'|, A__questionmark_v1: |'C_ell2_d_ell2_cblinfun$'|, A__questionmark_v2: |'A$'|, A__questionmark_v3: |'C$'|] : (tptp_fun__fun_app_k_(tptp_fun__fun_app_l_(|'cblinfun_apply$'|, tptp_fun__tensor_op__(A__questionmark_v0, A__questionmark_v1)), tptp_fun__fun_app_o_(|'ket$'|, tptp_fun__fun_app_p_(tptp_fun__fun_app_q_(|'pair$'|, A__questionmark_v2), A__questionmark_v3))) = tptp_fun__tensor_ell2__(tptp_fun__fun_app_t_(tptp_fun__cblinfun_apply_a_(A__questionmark_v0), tptp_fun__ket_a_(A__questionmark_v2)), tptp_fun__fun_app_u_(tptp_fun__cblinfun_apply_b_(A__questionmark_v1), tptp_fun__ket_b_(A__questionmark_v3)))) <=> ![A__questionmark_v0: |'A_ell2_b_ell2_cblinfun$'|, A__questionmark_v1: |'C_ell2_d_ell2_cblinfun$'|, A__questionmark_v2: |'A$'|, A__questionmark_v3: |'C$'|] : (tptp_fun__fun_app_k_(tptp_fun__fun_app_l_(|'cblinfun_apply$'|, tptp_fun__tensor_op__(A__questionmark_v0, A__questionmark_v1)), tptp_fun__fun_app_o_(|'ket$'|, tptp_fun__fun_app_p_(tptp_fun__fun_app_q_(|'pair$'|, A__questionmark_v2), A__questionmark_v3))) = tptp_fun__tensor_ell2__(tptp_fun__fun_app_t_(tptp_fun__cblinfun_apply_a_(A__questionmark_v0), tptp_fun__ket_a_(A__questionmark_v2)), tptp_fun__fun_app_u_(tptp_fun__cblinfun_apply_b_(A__questionmark_v1), tptp_fun__ket_b_(A__questionmark_v3))))),
% 4.51/4.67 inference(quant_intro,[status(thm)],[11])).
% 4.51/4.67 tff(13,plain,
% 4.51/4.67 (![A__questionmark_v0: |'A_ell2_b_ell2_cblinfun$'|, A__questionmark_v1: |'C_ell2_d_ell2_cblinfun$'|, A__questionmark_v2: |'A$'|, A__questionmark_v3: |'C$'|] : (tptp_fun__fun_app_k_(tptp_fun__fun_app_l_(|'cblinfun_apply$'|, tptp_fun__tensor_op__(A__questionmark_v0, A__questionmark_v1)), tptp_fun__fun_app_o_(|'ket$'|, tptp_fun__fun_app_p_(tptp_fun__fun_app_q_(|'pair$'|, A__questionmark_v2), A__questionmark_v3))) = tptp_fun__tensor_ell2__(tptp_fun__fun_app_t_(tptp_fun__cblinfun_apply_a_(A__questionmark_v0), tptp_fun__ket_a_(A__questionmark_v2)), tptp_fun__fun_app_u_(tptp_fun__cblinfun_apply_b_(A__questionmark_v1), tptp_fun__ket_b_(A__questionmark_v3)))) <=> ![A__questionmark_v0: |'A_ell2_b_ell2_cblinfun$'|, A__questionmark_v1: |'C_ell2_d_ell2_cblinfun$'|, A__questionmark_v2: |'A$'|, A__questionmark_v3: |'C$'|] : (tptp_fun__fun_app_k_(tptp_fun__fun_app_l_(|'cblinfun_apply$'|, tptp_fun__tensor_op__(A__questionmark_v0, A__questionmark_v1)), tptp_fun__fun_app_o_(|'ket$'|, tptp_fun__fun_app_p_(tptp_fun__fun_app_q_(|'pair$'|, A__questionmark_v2), A__questionmark_v3))) = tptp_fun__tensor_ell2__(tptp_fun__fun_app_t_(tptp_fun__cblinfun_apply_a_(A__questionmark_v0), tptp_fun__ket_a_(A__questionmark_v2)), tptp_fun__fun_app_u_(tptp_fun__cblinfun_apply_b_(A__questionmark_v1), tptp_fun__ket_b_(A__questionmark_v3))))),
% 4.51/4.67 inference(rewrite,[status(thm)],[])).
% 4.51/4.67 tff(14,axiom,(![A__questionmark_v0: |'A_ell2_b_ell2_cblinfun$'|, A__questionmark_v1: |'C_ell2_d_ell2_cblinfun$'|, A__questionmark_v2: |'A$'|, A__questionmark_v3: |'C$'|] : (tptp_fun__fun_app_k_(tptp_fun__fun_app_l_(|'cblinfun_apply$'|, tptp_fun__tensor_op__(A__questionmark_v0, A__questionmark_v1)), tptp_fun__fun_app_o_(|'ket$'|, tptp_fun__fun_app_p_(tptp_fun__fun_app_q_(|'pair$'|, A__questionmark_v2), A__questionmark_v3))) = tptp_fun__tensor_ell2__(tptp_fun__fun_app_t_(tptp_fun__cblinfun_apply_a_(A__questionmark_v0), tptp_fun__ket_a_(A__questionmark_v2)), tptp_fun__fun_app_u_(tptp_fun__cblinfun_apply_b_(A__questionmark_v1), tptp_fun__ket_b_(A__questionmark_v3))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','axiom20')).
% 4.51/4.67 tff(15,plain,
% 4.51/4.67 (![A__questionmark_v0: |'A_ell2_b_ell2_cblinfun$'|, A__questionmark_v1: |'C_ell2_d_ell2_cblinfun$'|, A__questionmark_v2: |'A$'|, A__questionmark_v3: |'C$'|] : (tptp_fun__fun_app_k_(tptp_fun__fun_app_l_(|'cblinfun_apply$'|, tptp_fun__tensor_op__(A__questionmark_v0, A__questionmark_v1)), tptp_fun__fun_app_o_(|'ket$'|, tptp_fun__fun_app_p_(tptp_fun__fun_app_q_(|'pair$'|, A__questionmark_v2), A__questionmark_v3))) = tptp_fun__tensor_ell2__(tptp_fun__fun_app_t_(tptp_fun__cblinfun_apply_a_(A__questionmark_v0), tptp_fun__ket_a_(A__questionmark_v2)), tptp_fun__fun_app_u_(tptp_fun__cblinfun_apply_b_(A__questionmark_v1), tptp_fun__ket_b_(A__questionmark_v3))))),
% 4.51/4.67 inference(modus_ponens,[status(thm)],[14, 13])).
% 4.51/4.67 tff(16,plain,(
% 4.51/4.67 ![A__questionmark_v0: |'A_ell2_b_ell2_cblinfun$'|, A__questionmark_v1: |'C_ell2_d_ell2_cblinfun$'|, A__questionmark_v2: |'A$'|, A__questionmark_v3: |'C$'|] : (tptp_fun__fun_app_k_(tptp_fun__fun_app_l_(|'cblinfun_apply$'|, tptp_fun__tensor_op__(A__questionmark_v0, A__questionmark_v1)), tptp_fun__fun_app_o_(|'ket$'|, tptp_fun__fun_app_p_(tptp_fun__fun_app_q_(|'pair$'|, A__questionmark_v2), A__questionmark_v3))) = tptp_fun__tensor_ell2__(tptp_fun__fun_app_t_(tptp_fun__cblinfun_apply_a_(A__questionmark_v0), tptp_fun__ket_a_(A__questionmark_v2)), tptp_fun__fun_app_u_(tptp_fun__cblinfun_apply_b_(A__questionmark_v1), tptp_fun__ket_b_(A__questionmark_v3))))),
% 4.51/4.67 inference(skolemize,[status(sab)],[15])).
% 4.51/4.67 tff(17,plain,
% 4.51/4.67 (![A__questionmark_v0: |'A_ell2_b_ell2_cblinfun$'|, A__questionmark_v1: |'C_ell2_d_ell2_cblinfun$'|, A__questionmark_v2: |'A$'|, A__questionmark_v3: |'C$'|] : (tptp_fun__fun_app_k_(tptp_fun__fun_app_l_(|'cblinfun_apply$'|, tptp_fun__tensor_op__(A__questionmark_v0, A__questionmark_v1)), tptp_fun__fun_app_o_(|'ket$'|, tptp_fun__fun_app_p_(tptp_fun__fun_app_q_(|'pair$'|, A__questionmark_v2), A__questionmark_v3))) = tptp_fun__tensor_ell2__(tptp_fun__fun_app_t_(tptp_fun__cblinfun_apply_a_(A__questionmark_v0), tptp_fun__ket_a_(A__questionmark_v2)), tptp_fun__fun_app_u_(tptp_fun__cblinfun_apply_b_(A__questionmark_v1), tptp_fun__ket_b_(A__questionmark_v3))))),
% 4.51/4.67 inference(modus_ponens,[status(thm)],[16, 12])).
% 4.51/4.67 tff(18,plain,
% 4.51/4.67 ((~![A__questionmark_v0: |'A_ell2_b_ell2_cblinfun$'|, A__questionmark_v1: |'C_ell2_d_ell2_cblinfun$'|, A__questionmark_v2: |'A$'|, A__questionmark_v3: |'C$'|] : (tptp_fun__fun_app_k_(tptp_fun__fun_app_l_(|'cblinfun_apply$'|, tptp_fun__tensor_op__(A__questionmark_v0, A__questionmark_v1)), tptp_fun__fun_app_o_(|'ket$'|, tptp_fun__fun_app_p_(tptp_fun__fun_app_q_(|'pair$'|, A__questionmark_v2), A__questionmark_v3))) = tptp_fun__tensor_ell2__(tptp_fun__fun_app_t_(tptp_fun__cblinfun_apply_a_(A__questionmark_v0), tptp_fun__ket_a_(A__questionmark_v2)), tptp_fun__fun_app_u_(tptp_fun__cblinfun_apply_b_(A__questionmark_v1), tptp_fun__ket_b_(A__questionmark_v3))))) | (tptp_fun__fun_app_k_(tptp_fun__fun_app_l_(|'cblinfun_apply$'|, tptp_fun__tensor_op__(|'a$'|, |'b2$'|)), tptp_fun__fun_app_o_(|'ket$'|, tptp_fun__fun_app_p_(tptp_fun__fun_app_q_(|'pair$'|, |'i$'|), |'j$'|))) = tptp_fun__tensor_ell2__(tptp_fun__fun_app_t_(tptp_fun__cblinfun_apply_a_(|'a$'|), tptp_fun__ket_a_(|'i$'|)), tptp_fun__fun_app_u_(tptp_fun__cblinfun_apply_b_(|'b2$'|), tptp_fun__ket_b_(|'j$'|))))),
% 4.51/4.67 inference(quant_inst,[status(thm)],[])).
% 4.51/4.67 tff(19,plain,
% 4.51/4.67 (tptp_fun__fun_app_k_(tptp_fun__fun_app_l_(|'cblinfun_apply$'|, tptp_fun__tensor_op__(|'a$'|, |'b2$'|)), tptp_fun__fun_app_o_(|'ket$'|, tptp_fun__fun_app_p_(tptp_fun__fun_app_q_(|'pair$'|, |'i$'|), |'j$'|))) = tptp_fun__tensor_ell2__(tptp_fun__fun_app_t_(tptp_fun__cblinfun_apply_a_(|'a$'|), tptp_fun__ket_a_(|'i$'|)), tptp_fun__fun_app_u_(tptp_fun__cblinfun_apply_b_(|'b2$'|), tptp_fun__ket_b_(|'j$'|)))),
% 4.51/4.67 inference(unit_resolution,[status(thm)],[18, 17])).
% 4.51/4.67 tff(20,plain,
% 4.51/4.67 (tptp_fun__tensor_ell2__(tptp_fun__fun_app_t_(tptp_fun__cblinfun_apply_a_(|'a$'|), tptp_fun__ket_a_(|'i$'|)), tptp_fun__fun_app_u_(tptp_fun__cblinfun_apply_b_(|'b2$'|), tptp_fun__ket_b_(|'j$'|))) = tptp_fun__fun_app_k_(tptp_fun__fun_app_l_(|'cblinfun_apply$'|, tptp_fun__tensor_op__(|'a$'|, |'b2$'|)), tptp_fun__fun_app_o_(|'ket$'|, tptp_fun__fun_app_p_(tptp_fun__fun_app_q_(|'pair$'|, |'i$'|), |'j$'|)))),
% 4.51/4.67 inference(symmetry,[status(thm)],[19])).
% 4.51/4.67 tff(21,plain,
% 4.51/4.67 ((~![A__questionmark_v0: |'A_ell2_b_ell2_cblinfun$'|, A__questionmark_v1: |'C_ell2_d_ell2_cblinfun$'|, A__questionmark_v2: |'A$'|, A__questionmark_v3: |'C$'|] : (tptp_fun__fun_app_k_(tptp_fun__fun_app_l_(|'cblinfun_apply$'|, tptp_fun__tensor_op__(A__questionmark_v0, A__questionmark_v1)), tptp_fun__fun_app_o_(|'ket$'|, tptp_fun__fun_app_p_(tptp_fun__fun_app_q_(|'pair$'|, A__questionmark_v2), A__questionmark_v3))) = tptp_fun__tensor_ell2__(tptp_fun__fun_app_t_(tptp_fun__cblinfun_apply_a_(A__questionmark_v0), tptp_fun__ket_a_(A__questionmark_v2)), tptp_fun__fun_app_u_(tptp_fun__cblinfun_apply_b_(A__questionmark_v1), tptp_fun__ket_b_(A__questionmark_v3))))) | (tptp_fun__fun_app_k_(tptp_fun__fun_app_l_(|'cblinfun_apply$'|, tptp_fun__tensor_op__(|'a$'|, |'b1$'|)), tptp_fun__fun_app_o_(|'ket$'|, tptp_fun__fun_app_p_(tptp_fun__fun_app_q_(|'pair$'|, |'i$'|), |'j$'|))) = tptp_fun__tensor_ell2__(tptp_fun__fun_app_t_(tptp_fun__cblinfun_apply_a_(|'a$'|), tptp_fun__ket_a_(|'i$'|)), tptp_fun__fun_app_u_(tptp_fun__cblinfun_apply_b_(|'b1$'|), tptp_fun__ket_b_(|'j$'|))))),
% 4.51/4.67 inference(quant_inst,[status(thm)],[])).
% 4.51/4.67 tff(22,plain,
% 4.51/4.67 (tptp_fun__fun_app_k_(tptp_fun__fun_app_l_(|'cblinfun_apply$'|, tptp_fun__tensor_op__(|'a$'|, |'b1$'|)), tptp_fun__fun_app_o_(|'ket$'|, tptp_fun__fun_app_p_(tptp_fun__fun_app_q_(|'pair$'|, |'i$'|), |'j$'|))) = tptp_fun__tensor_ell2__(tptp_fun__fun_app_t_(tptp_fun__cblinfun_apply_a_(|'a$'|), tptp_fun__ket_a_(|'i$'|)), tptp_fun__fun_app_u_(tptp_fun__cblinfun_apply_b_(|'b1$'|), tptp_fun__ket_b_(|'j$'|)))),
% 4.51/4.67 inference(unit_resolution,[status(thm)],[21, 17])).
% 4.51/4.67 tff(23,plain,
% 4.51/4.67 (tptp_fun__tensor_ell2__(tptp_fun__fun_app_t_(tptp_fun__cblinfun_apply_a_(|'a$'|), tptp_fun__ket_a_(|'i$'|)), tptp_fun__fun_app_u_(tptp_fun__cblinfun_apply_b_(|'b1$'|), tptp_fun__ket_b_(|'j$'|))) = tptp_fun__fun_app_k_(tptp_fun__fun_app_l_(|'cblinfun_apply$'|, tptp_fun__tensor_op__(|'a$'|, |'b1$'|)), tptp_fun__fun_app_o_(|'ket$'|, tptp_fun__fun_app_p_(tptp_fun__fun_app_q_(|'pair$'|, |'i$'|), |'j$'|)))),
% 4.51/4.67 inference(symmetry,[status(thm)],[22])).
% 4.51/4.67 tff(24,plain,
% 4.51/4.67 (tptp_fun__plus_u_(tptp_fun__tensor_ell2__(tptp_fun__fun_app_t_(tptp_fun__cblinfun_apply_a_(|'a$'|), tptp_fun__ket_a_(|'i$'|)), tptp_fun__fun_app_u_(tptp_fun__cblinfun_apply_b_(|'b1$'|), tptp_fun__ket_b_(|'j$'|))), tptp_fun__tensor_ell2__(tptp_fun__fun_app_t_(tptp_fun__cblinfun_apply_a_(|'a$'|), tptp_fun__ket_a_(|'i$'|)), tptp_fun__fun_app_u_(tptp_fun__cblinfun_apply_b_(|'b2$'|), tptp_fun__ket_b_(|'j$'|)))) = tptp_fun__plus_u_(tptp_fun__fun_app_k_(tptp_fun__fun_app_l_(|'cblinfun_apply$'|, tptp_fun__tensor_op__(|'a$'|, |'b1$'|)), tptp_fun__fun_app_o_(|'ket$'|, tptp_fun__fun_app_p_(tptp_fun__fun_app_q_(|'pair$'|, |'i$'|), |'j$'|))), tptp_fun__fun_app_k_(tptp_fun__fun_app_l_(|'cblinfun_apply$'|, tptp_fun__tensor_op__(|'a$'|, |'b2$'|)), tptp_fun__fun_app_o_(|'ket$'|, tptp_fun__fun_app_p_(tptp_fun__fun_app_q_(|'pair$'|, |'i$'|), |'j$'|))))),
% 4.51/4.67 inference(monotonicity,[status(thm)],[23, 20])).
% 4.51/4.67 tff(25,plain,
% 4.51/4.67 (^[A__questionmark_v0: |'B_ell2$'|, A__questionmark_v1: |'D_ell2$'|, A__questionmark_v2: |'D_ell2$'|] : refl((tptp_fun__tensor_ell2__(A__questionmark_v0, tptp_fun__plus_i_(A__questionmark_v1, A__questionmark_v2)) = tptp_fun__plus_u_(tptp_fun__tensor_ell2__(A__questionmark_v0, A__questionmark_v1), tptp_fun__tensor_ell2__(A__questionmark_v0, A__questionmark_v2))) <=> (tptp_fun__tensor_ell2__(A__questionmark_v0, tptp_fun__plus_i_(A__questionmark_v1, A__questionmark_v2)) = tptp_fun__plus_u_(tptp_fun__tensor_ell2__(A__questionmark_v0, A__questionmark_v1), tptp_fun__tensor_ell2__(A__questionmark_v0, A__questionmark_v2))))),
% 4.51/4.67 inference(bind,[status(th)],[])).
% 4.51/4.67 tff(26,plain,
% 4.51/4.67 (![A__questionmark_v0: |'B_ell2$'|, A__questionmark_v1: |'D_ell2$'|, A__questionmark_v2: |'D_ell2$'|] : (tptp_fun__tensor_ell2__(A__questionmark_v0, tptp_fun__plus_i_(A__questionmark_v1, A__questionmark_v2)) = tptp_fun__plus_u_(tptp_fun__tensor_ell2__(A__questionmark_v0, A__questionmark_v1), tptp_fun__tensor_ell2__(A__questionmark_v0, A__questionmark_v2))) <=> ![A__questionmark_v0: |'B_ell2$'|, A__questionmark_v1: |'D_ell2$'|, A__questionmark_v2: |'D_ell2$'|] : (tptp_fun__tensor_ell2__(A__questionmark_v0, tptp_fun__plus_i_(A__questionmark_v1, A__questionmark_v2)) = tptp_fun__plus_u_(tptp_fun__tensor_ell2__(A__questionmark_v0, A__questionmark_v1), tptp_fun__tensor_ell2__(A__questionmark_v0, A__questionmark_v2)))),
% 4.51/4.67 inference(quant_intro,[status(thm)],[25])).
% 4.51/4.67 tff(27,plain,
% 4.51/4.67 (![A__questionmark_v0: |'B_ell2$'|, A__questionmark_v1: |'D_ell2$'|, A__questionmark_v2: |'D_ell2$'|] : (tptp_fun__tensor_ell2__(A__questionmark_v0, tptp_fun__plus_i_(A__questionmark_v1, A__questionmark_v2)) = tptp_fun__plus_u_(tptp_fun__tensor_ell2__(A__questionmark_v0, A__questionmark_v1), tptp_fun__tensor_ell2__(A__questionmark_v0, A__questionmark_v2))) <=> ![A__questionmark_v0: |'B_ell2$'|, A__questionmark_v1: |'D_ell2$'|, A__questionmark_v2: |'D_ell2$'|] : (tptp_fun__tensor_ell2__(A__questionmark_v0, tptp_fun__plus_i_(A__questionmark_v1, A__questionmark_v2)) = tptp_fun__plus_u_(tptp_fun__tensor_ell2__(A__questionmark_v0, A__questionmark_v1), tptp_fun__tensor_ell2__(A__questionmark_v0, A__questionmark_v2)))),
% 4.51/4.67 inference(rewrite,[status(thm)],[])).
% 4.51/4.67 tff(28,axiom,(![A__questionmark_v0: |'B_ell2$'|, A__questionmark_v1: |'D_ell2$'|, A__questionmark_v2: |'D_ell2$'|] : (tptp_fun__tensor_ell2__(A__questionmark_v0, tptp_fun__plus_i_(A__questionmark_v1, A__questionmark_v2)) = tptp_fun__plus_u_(tptp_fun__tensor_ell2__(A__questionmark_v0, A__questionmark_v1), tptp_fun__tensor_ell2__(A__questionmark_v0, A__questionmark_v2)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','axiom95')).
% 4.51/4.67 tff(29,plain,
% 4.51/4.67 (![A__questionmark_v0: |'B_ell2$'|, A__questionmark_v1: |'D_ell2$'|, A__questionmark_v2: |'D_ell2$'|] : (tptp_fun__tensor_ell2__(A__questionmark_v0, tptp_fun__plus_i_(A__questionmark_v1, A__questionmark_v2)) = tptp_fun__plus_u_(tptp_fun__tensor_ell2__(A__questionmark_v0, A__questionmark_v1), tptp_fun__tensor_ell2__(A__questionmark_v0, A__questionmark_v2)))),
% 4.51/4.67 inference(modus_ponens,[status(thm)],[28, 27])).
% 4.51/4.67 tff(30,plain,(
% 4.51/4.67 ![A__questionmark_v0: |'B_ell2$'|, A__questionmark_v1: |'D_ell2$'|, A__questionmark_v2: |'D_ell2$'|] : (tptp_fun__tensor_ell2__(A__questionmark_v0, tptp_fun__plus_i_(A__questionmark_v1, A__questionmark_v2)) = tptp_fun__plus_u_(tptp_fun__tensor_ell2__(A__questionmark_v0, A__questionmark_v1), tptp_fun__tensor_ell2__(A__questionmark_v0, A__questionmark_v2)))),
% 4.51/4.67 inference(skolemize,[status(sab)],[29])).
% 4.51/4.67 tff(31,plain,
% 4.51/4.67 (![A__questionmark_v0: |'B_ell2$'|, A__questionmark_v1: |'D_ell2$'|, A__questionmark_v2: |'D_ell2$'|] : (tptp_fun__tensor_ell2__(A__questionmark_v0, tptp_fun__plus_i_(A__questionmark_v1, A__questionmark_v2)) = tptp_fun__plus_u_(tptp_fun__tensor_ell2__(A__questionmark_v0, A__questionmark_v1), tptp_fun__tensor_ell2__(A__questionmark_v0, A__questionmark_v2)))),
% 4.51/4.67 inference(modus_ponens,[status(thm)],[30, 26])).
% 4.51/4.67 tff(32,plain,
% 4.51/4.67 ((~![A__questionmark_v0: |'B_ell2$'|, A__questionmark_v1: |'D_ell2$'|, A__questionmark_v2: |'D_ell2$'|] : (tptp_fun__tensor_ell2__(A__questionmark_v0, tptp_fun__plus_i_(A__questionmark_v1, A__questionmark_v2)) = tptp_fun__plus_u_(tptp_fun__tensor_ell2__(A__questionmark_v0, A__questionmark_v1), tptp_fun__tensor_ell2__(A__questionmark_v0, A__questionmark_v2)))) | (tptp_fun__tensor_ell2__(tptp_fun__fun_app_t_(tptp_fun__cblinfun_apply_a_(|'a$'|), tptp_fun__ket_a_(|'i$'|)), tptp_fun__plus_i_(tptp_fun__fun_app_u_(tptp_fun__cblinfun_apply_b_(|'b1$'|), tptp_fun__ket_b_(|'j$'|)), tptp_fun__fun_app_u_(tptp_fun__cblinfun_apply_b_(|'b2$'|), tptp_fun__ket_b_(|'j$'|)))) = tptp_fun__plus_u_(tptp_fun__tensor_ell2__(tptp_fun__fun_app_t_(tptp_fun__cblinfun_apply_a_(|'a$'|), tptp_fun__ket_a_(|'i$'|)), tptp_fun__fun_app_u_(tptp_fun__cblinfun_apply_b_(|'b1$'|), tptp_fun__ket_b_(|'j$'|))), tptp_fun__tensor_ell2__(tptp_fun__fun_app_t_(tptp_fun__cblinfun_apply_a_(|'a$'|), tptp_fun__ket_a_(|'i$'|)), tptp_fun__fun_app_u_(tptp_fun__cblinfun_apply_b_(|'b2$'|), tptp_fun__ket_b_(|'j$'|)))))),
% 4.51/4.67 inference(quant_inst,[status(thm)],[])).
% 4.51/4.67 tff(33,plain,
% 4.51/4.67 (tptp_fun__tensor_ell2__(tptp_fun__fun_app_t_(tptp_fun__cblinfun_apply_a_(|'a$'|), tptp_fun__ket_a_(|'i$'|)), tptp_fun__plus_i_(tptp_fun__fun_app_u_(tptp_fun__cblinfun_apply_b_(|'b1$'|), tptp_fun__ket_b_(|'j$'|)), tptp_fun__fun_app_u_(tptp_fun__cblinfun_apply_b_(|'b2$'|), tptp_fun__ket_b_(|'j$'|)))) = tptp_fun__plus_u_(tptp_fun__tensor_ell2__(tptp_fun__fun_app_t_(tptp_fun__cblinfun_apply_a_(|'a$'|), tptp_fun__ket_a_(|'i$'|)), tptp_fun__fun_app_u_(tptp_fun__cblinfun_apply_b_(|'b1$'|), tptp_fun__ket_b_(|'j$'|))), tptp_fun__tensor_ell2__(tptp_fun__fun_app_t_(tptp_fun__cblinfun_apply_a_(|'a$'|), tptp_fun__ket_a_(|'i$'|)), tptp_fun__fun_app_u_(tptp_fun__cblinfun_apply_b_(|'b2$'|), tptp_fun__ket_b_(|'j$'|))))),
% 4.51/4.67 inference(unit_resolution,[status(thm)],[32, 31])).
% 4.51/4.67 tff(34,plain,
% 4.51/4.67 (^[A__questionmark_v0: |'C_ell2_d_ell2_cblinfun$'|, A__questionmark_v1: |'C_ell2_d_ell2_cblinfun$'|] : refl((A__questionmark_v0 = tptp_fun__fun_app_m_(tptp_fun__minus_b_(tptp_fun__fun_app_m_(tptp_fun__fun_app_n_(|'plus$a'|, A__questionmark_v0), A__questionmark_v1)), A__questionmark_v1)) <=> (A__questionmark_v0 = tptp_fun__fun_app_m_(tptp_fun__minus_b_(tptp_fun__fun_app_m_(tptp_fun__fun_app_n_(|'plus$a'|, A__questionmark_v0), A__questionmark_v1)), A__questionmark_v1)))),
% 4.51/4.67 inference(bind,[status(th)],[])).
% 4.51/4.67 tff(35,plain,
% 4.51/4.67 (![A__questionmark_v0: |'C_ell2_d_ell2_cblinfun$'|, A__questionmark_v1: |'C_ell2_d_ell2_cblinfun$'|] : (A__questionmark_v0 = tptp_fun__fun_app_m_(tptp_fun__minus_b_(tptp_fun__fun_app_m_(tptp_fun__fun_app_n_(|'plus$a'|, A__questionmark_v0), A__questionmark_v1)), A__questionmark_v1)) <=> ![A__questionmark_v0: |'C_ell2_d_ell2_cblinfun$'|, A__questionmark_v1: |'C_ell2_d_ell2_cblinfun$'|] : (A__questionmark_v0 = tptp_fun__fun_app_m_(tptp_fun__minus_b_(tptp_fun__fun_app_m_(tptp_fun__fun_app_n_(|'plus$a'|, A__questionmark_v0), A__questionmark_v1)), A__questionmark_v1))),
% 4.51/4.67 inference(quant_intro,[status(thm)],[34])).
% 4.51/4.67 tff(36,plain,
% 4.51/4.67 (![A__questionmark_v0: |'C_ell2_d_ell2_cblinfun$'|, A__questionmark_v1: |'C_ell2_d_ell2_cblinfun$'|] : (A__questionmark_v0 = tptp_fun__fun_app_m_(tptp_fun__minus_b_(tptp_fun__fun_app_m_(tptp_fun__fun_app_n_(|'plus$a'|, A__questionmark_v0), A__questionmark_v1)), A__questionmark_v1)) <=> ![A__questionmark_v0: |'C_ell2_d_ell2_cblinfun$'|, A__questionmark_v1: |'C_ell2_d_ell2_cblinfun$'|] : (A__questionmark_v0 = tptp_fun__fun_app_m_(tptp_fun__minus_b_(tptp_fun__fun_app_m_(tptp_fun__fun_app_n_(|'plus$a'|, A__questionmark_v0), A__questionmark_v1)), A__questionmark_v1))),
% 4.51/4.67 inference(rewrite,[status(thm)],[])).
% 4.51/4.67 tff(37,plain,
% 4.51/4.67 (![A__questionmark_v0: |'C_ell2_d_ell2_cblinfun$'|, A__questionmark_v1: |'C_ell2_d_ell2_cblinfun$'|, A__questionmark_v2: |'C_ell2_d_ell2_cblinfun$'|] : (A__questionmark_v0 = tptp_fun__fun_app_m_(tptp_fun__minus_b_(tptp_fun__fun_app_m_(tptp_fun__fun_app_n_(|'plus$a'|, A__questionmark_v0), A__questionmark_v1)), A__questionmark_v1)) <=> ![A__questionmark_v0: |'C_ell2_d_ell2_cblinfun$'|, A__questionmark_v1: |'C_ell2_d_ell2_cblinfun$'|] : (A__questionmark_v0 = tptp_fun__fun_app_m_(tptp_fun__minus_b_(tptp_fun__fun_app_m_(tptp_fun__fun_app_n_(|'plus$a'|, A__questionmark_v0), A__questionmark_v1)), A__questionmark_v1))),
% 4.51/4.67 inference(elim_unused_vars,[status(thm)],[])).
% 4.51/4.67 tff(38,plain,
% 4.51/4.67 (![A__questionmark_v0: |'C_ell2_d_ell2_cblinfun$'|, A__questionmark_v1: |'C_ell2_d_ell2_cblinfun$'|, A__questionmark_v2: |'C_ell2_d_ell2_cblinfun$'|] : ((~(tptp_fun__fun_app_m_(tptp_fun__fun_app_n_(|'plus$a'|, A__questionmark_v0), A__questionmark_v1) = A__questionmark_v2)) | (A__questionmark_v0 = tptp_fun__fun_app_m_(tptp_fun__minus_b_(A__questionmark_v2), A__questionmark_v1))) <=> ![A__questionmark_v0: |'C_ell2_d_ell2_cblinfun$'|, A__questionmark_v1: |'C_ell2_d_ell2_cblinfun$'|, A__questionmark_v2: |'C_ell2_d_ell2_cblinfun$'|] : (A__questionmark_v0 = tptp_fun__fun_app_m_(tptp_fun__minus_b_(tptp_fun__fun_app_m_(tptp_fun__fun_app_n_(|'plus$a'|, A__questionmark_v0), A__questionmark_v1)), A__questionmark_v1))),
% 4.51/4.67 inference(destructive_equality_resolution,[status(thm)],[])).
% 4.51/4.67 tff(39,plain,
% 4.51/4.67 (![A__questionmark_v0: |'C_ell2_d_ell2_cblinfun$'|, A__questionmark_v1: |'C_ell2_d_ell2_cblinfun$'|, A__questionmark_v2: |'C_ell2_d_ell2_cblinfun$'|] : ((~(tptp_fun__fun_app_m_(tptp_fun__fun_app_n_(|'plus$a'|, A__questionmark_v0), A__questionmark_v1) = A__questionmark_v2)) | (A__questionmark_v0 = tptp_fun__fun_app_m_(tptp_fun__minus_b_(A__questionmark_v2), A__questionmark_v1))) <=> ![A__questionmark_v0: |'C_ell2_d_ell2_cblinfun$'|, A__questionmark_v1: |'C_ell2_d_ell2_cblinfun$'|] : (A__questionmark_v0 = tptp_fun__fun_app_m_(tptp_fun__minus_b_(tptp_fun__fun_app_m_(tptp_fun__fun_app_n_(|'plus$a'|, A__questionmark_v0), A__questionmark_v1)), A__questionmark_v1))),
% 4.51/4.67 inference(transitivity,[status(thm)],[38, 37])).
% 4.51/4.67 tff(40,plain,
% 4.51/4.67 (^[A__questionmark_v0: |'C_ell2_d_ell2_cblinfun$'|, A__questionmark_v1: |'C_ell2_d_ell2_cblinfun$'|, A__questionmark_v2: |'C_ell2_d_ell2_cblinfun$'|] : rewrite(((tptp_fun__fun_app_m_(tptp_fun__fun_app_n_(|'plus$a'|, A__questionmark_v0), A__questionmark_v1) = A__questionmark_v2) => (A__questionmark_v0 = tptp_fun__fun_app_m_(tptp_fun__minus_b_(A__questionmark_v2), A__questionmark_v1))) <=> ((~(tptp_fun__fun_app_m_(tptp_fun__fun_app_n_(|'plus$a'|, A__questionmark_v0), A__questionmark_v1) = A__questionmark_v2)) | (A__questionmark_v0 = tptp_fun__fun_app_m_(tptp_fun__minus_b_(A__questionmark_v2), A__questionmark_v1))))),
% 4.51/4.67 inference(bind,[status(th)],[])).
% 4.51/4.67 tff(41,plain,
% 4.51/4.67 (![A__questionmark_v0: |'C_ell2_d_ell2_cblinfun$'|, A__questionmark_v1: |'C_ell2_d_ell2_cblinfun$'|, A__questionmark_v2: |'C_ell2_d_ell2_cblinfun$'|] : ((tptp_fun__fun_app_m_(tptp_fun__fun_app_n_(|'plus$a'|, A__questionmark_v0), A__questionmark_v1) = A__questionmark_v2) => (A__questionmark_v0 = tptp_fun__fun_app_m_(tptp_fun__minus_b_(A__questionmark_v2), A__questionmark_v1))) <=> ![A__questionmark_v0: |'C_ell2_d_ell2_cblinfun$'|, A__questionmark_v1: |'C_ell2_d_ell2_cblinfun$'|, A__questionmark_v2: |'C_ell2_d_ell2_cblinfun$'|] : ((~(tptp_fun__fun_app_m_(tptp_fun__fun_app_n_(|'plus$a'|, A__questionmark_v0), A__questionmark_v1) = A__questionmark_v2)) | (A__questionmark_v0 = tptp_fun__fun_app_m_(tptp_fun__minus_b_(A__questionmark_v2), A__questionmark_v1)))),
% 4.51/4.67 inference(quant_intro,[status(thm)],[40])).
% 4.51/4.67 tff(42,plain,
% 4.51/4.67 (![A__questionmark_v0: |'C_ell2_d_ell2_cblinfun$'|, A__questionmark_v1: |'C_ell2_d_ell2_cblinfun$'|, A__questionmark_v2: |'C_ell2_d_ell2_cblinfun$'|] : ((tptp_fun__fun_app_m_(tptp_fun__fun_app_n_(|'plus$a'|, A__questionmark_v0), A__questionmark_v1) = A__questionmark_v2) => (A__questionmark_v0 = tptp_fun__fun_app_m_(tptp_fun__minus_b_(A__questionmark_v2), A__questionmark_v1))) <=> ![A__questionmark_v0: |'C_ell2_d_ell2_cblinfun$'|, A__questionmark_v1: |'C_ell2_d_ell2_cblinfun$'|] : (A__questionmark_v0 = tptp_fun__fun_app_m_(tptp_fun__minus_b_(tptp_fun__fun_app_m_(tptp_fun__fun_app_n_(|'plus$a'|, A__questionmark_v0), A__questionmark_v1)), A__questionmark_v1))),
% 4.51/4.67 inference(transitivity,[status(thm)],[41, 39])).
% 4.51/4.67 tff(43,axiom,(![A__questionmark_v0: |'C_ell2_d_ell2_cblinfun$'|, A__questionmark_v1: |'C_ell2_d_ell2_cblinfun$'|, A__questionmark_v2: |'C_ell2_d_ell2_cblinfun$'|] : ((tptp_fun__fun_app_m_(tptp_fun__fun_app_n_(|'plus$a'|, A__questionmark_v0), A__questionmark_v1) = A__questionmark_v2) => (A__questionmark_v0 = tptp_fun__fun_app_m_(tptp_fun__minus_b_(A__questionmark_v2), A__questionmark_v1)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','axiom584')).
% 4.51/4.67 tff(44,plain,
% 4.51/4.67 (![A__questionmark_v0: |'C_ell2_d_ell2_cblinfun$'|, A__questionmark_v1: |'C_ell2_d_ell2_cblinfun$'|] : (A__questionmark_v0 = tptp_fun__fun_app_m_(tptp_fun__minus_b_(tptp_fun__fun_app_m_(tptp_fun__fun_app_n_(|'plus$a'|, A__questionmark_v0), A__questionmark_v1)), A__questionmark_v1))),
% 4.51/4.67 inference(modus_ponens,[status(thm)],[43, 42])).
% 4.51/4.67 tff(45,plain,
% 4.51/4.67 (![A__questionmark_v0: |'C_ell2_d_ell2_cblinfun$'|, A__questionmark_v1: |'C_ell2_d_ell2_cblinfun$'|] : (A__questionmark_v0 = tptp_fun__fun_app_m_(tptp_fun__minus_b_(tptp_fun__fun_app_m_(tptp_fun__fun_app_n_(|'plus$a'|, A__questionmark_v0), A__questionmark_v1)), A__questionmark_v1))),
% 4.51/4.67 inference(modus_ponens,[status(thm)],[44, 36])).
% 4.51/4.67 tff(46,plain,(
% 4.51/4.67 ![A__questionmark_v0: |'C_ell2_d_ell2_cblinfun$'|, A__questionmark_v1: |'C_ell2_d_ell2_cblinfun$'|] : (A__questionmark_v0 = tptp_fun__fun_app_m_(tptp_fun__minus_b_(tptp_fun__fun_app_m_(tptp_fun__fun_app_n_(|'plus$a'|, A__questionmark_v0), A__questionmark_v1)), A__questionmark_v1))),
% 4.51/4.67 inference(skolemize,[status(sab)],[45])).
% 4.51/4.67 tff(47,plain,
% 4.51/4.67 (![A__questionmark_v0: |'C_ell2_d_ell2_cblinfun$'|, A__questionmark_v1: |'C_ell2_d_ell2_cblinfun$'|] : (A__questionmark_v0 = tptp_fun__fun_app_m_(tptp_fun__minus_b_(tptp_fun__fun_app_m_(tptp_fun__fun_app_n_(|'plus$a'|, A__questionmark_v0), A__questionmark_v1)), A__questionmark_v1))),
% 4.51/4.67 inference(modus_ponens,[status(thm)],[46, 35])).
% 4.51/4.67 tff(48,plain,
% 4.51/4.67 ((~![A__questionmark_v0: |'C_ell2_d_ell2_cblinfun$'|, A__questionmark_v1: |'C_ell2_d_ell2_cblinfun$'|] : (A__questionmark_v0 = tptp_fun__fun_app_m_(tptp_fun__minus_b_(tptp_fun__fun_app_m_(tptp_fun__fun_app_n_(|'plus$a'|, A__questionmark_v0), A__questionmark_v1)), A__questionmark_v1))) | (|'b1$'| = tptp_fun__fun_app_m_(tptp_fun__minus_b_(tptp_fun__fun_app_m_(tptp_fun__fun_app_n_(|'plus$a'|, |'b1$'|), |'b2$'|)), |'b2$'|))),
% 4.51/4.67 inference(quant_inst,[status(thm)],[])).
% 4.51/4.67 tff(49,plain,
% 4.51/4.67 (|'b1$'| = tptp_fun__fun_app_m_(tptp_fun__minus_b_(tptp_fun__fun_app_m_(tptp_fun__fun_app_n_(|'plus$a'|, |'b1$'|), |'b2$'|)), |'b2$'|)),
% 4.51/4.67 inference(unit_resolution,[status(thm)],[48, 47])).
% 4.51/4.67 tff(50,plain,
% 4.51/4.67 (tptp_fun__fun_app_m_(tptp_fun__minus_b_(tptp_fun__fun_app_m_(tptp_fun__fun_app_n_(|'plus$a'|, |'b1$'|), |'b2$'|)), |'b2$'|) = |'b1$'|),
% 4.51/4.67 inference(symmetry,[status(thm)],[49])).
% 4.51/4.67 tff(51,plain,
% 4.51/4.67 (tptp_fun__cblinfun_apply_b_(tptp_fun__fun_app_m_(tptp_fun__minus_b_(tptp_fun__fun_app_m_(tptp_fun__fun_app_n_(|'plus$a'|, |'b1$'|), |'b2$'|)), |'b2$'|)) = tptp_fun__cblinfun_apply_b_(|'b1$'|)),
% 4.51/4.67 inference(monotonicity,[status(thm)],[50])).
% 4.51/4.67 tff(52,plain,
% 4.51/4.67 (tptp_fun__fun_app_u_(tptp_fun__cblinfun_apply_b_(tptp_fun__fun_app_m_(tptp_fun__minus_b_(tptp_fun__fun_app_m_(tptp_fun__fun_app_n_(|'plus$a'|, |'b1$'|), |'b2$'|)), |'b2$'|)), tptp_fun__ket_b_(|'j$'|)) = tptp_fun__fun_app_u_(tptp_fun__cblinfun_apply_b_(|'b1$'|), tptp_fun__ket_b_(|'j$'|))),
% 4.51/4.67 inference(monotonicity,[status(thm)],[51])).
% 4.51/4.67 tff(53,plain,
% 4.51/4.67 (tptp_fun__fun_app_u_(tptp_fun__cblinfun_apply_b_(|'b1$'|), tptp_fun__ket_b_(|'j$'|)) = tptp_fun__fun_app_u_(tptp_fun__cblinfun_apply_b_(tptp_fun__fun_app_m_(tptp_fun__minus_b_(tptp_fun__fun_app_m_(tptp_fun__fun_app_n_(|'plus$a'|, |'b1$'|), |'b2$'|)), |'b2$'|)), tptp_fun__ket_b_(|'j$'|))),
% 4.51/4.67 inference(symmetry,[status(thm)],[52])).
% 4.51/4.67 tff(54,plain,
% 4.51/4.67 (tptp_fun__plus_i_(tptp_fun__fun_app_u_(tptp_fun__cblinfun_apply_b_(|'b1$'|), tptp_fun__ket_b_(|'j$'|)), tptp_fun__fun_app_u_(tptp_fun__cblinfun_apply_b_(|'b2$'|), tptp_fun__ket_b_(|'j$'|))) = tptp_fun__plus_i_(tptp_fun__fun_app_u_(tptp_fun__cblinfun_apply_b_(tptp_fun__fun_app_m_(tptp_fun__minus_b_(tptp_fun__fun_app_m_(tptp_fun__fun_app_n_(|'plus$a'|, |'b1$'|), |'b2$'|)), |'b2$'|)), tptp_fun__ket_b_(|'j$'|)), tptp_fun__fun_app_u_(tptp_fun__cblinfun_apply_b_(|'b2$'|), tptp_fun__ket_b_(|'j$'|)))),
% 4.51/4.67 inference(monotonicity,[status(thm)],[53])).
% 4.51/4.67 tff(55,plain,
% 4.51/4.67 (tptp_fun__plus_i_(tptp_fun__fun_app_u_(tptp_fun__cblinfun_apply_b_(tptp_fun__fun_app_m_(tptp_fun__minus_b_(tptp_fun__fun_app_m_(tptp_fun__fun_app_n_(|'plus$a'|, |'b1$'|), |'b2$'|)), |'b2$'|)), tptp_fun__ket_b_(|'j$'|)), tptp_fun__fun_app_u_(tptp_fun__cblinfun_apply_b_(|'b2$'|), tptp_fun__ket_b_(|'j$'|))) = tptp_fun__plus_i_(tptp_fun__fun_app_u_(tptp_fun__cblinfun_apply_b_(|'b1$'|), tptp_fun__ket_b_(|'j$'|)), tptp_fun__fun_app_u_(tptp_fun__cblinfun_apply_b_(|'b2$'|), tptp_fun__ket_b_(|'j$'|)))),
% 4.51/4.67 inference(symmetry,[status(thm)],[54])).
% 4.51/4.67 tff(56,plain,
% 4.51/4.67 (^[A__questionmark_v0: |'C_ell2_d_ell2_cblinfun$'|, A__questionmark_v1: |'C_ell2_d_ell2_cblinfun$'|, A__questionmark_v2: |'C_ell2$'|] : refl((tptp_fun__fun_app_u_(tptp_fun__cblinfun_apply_b_(tptp_fun__fun_app_m_(tptp_fun__fun_app_n_(|'plus$a'|, A__questionmark_v0), A__questionmark_v1)), A__questionmark_v2) = tptp_fun__plus_i_(tptp_fun__fun_app_u_(tptp_fun__cblinfun_apply_b_(A__questionmark_v0), A__questionmark_v2), tptp_fun__fun_app_u_(tptp_fun__cblinfun_apply_b_(A__questionmark_v1), A__questionmark_v2))) <=> (tptp_fun__fun_app_u_(tptp_fun__cblinfun_apply_b_(tptp_fun__fun_app_m_(tptp_fun__fun_app_n_(|'plus$a'|, A__questionmark_v0), A__questionmark_v1)), A__questionmark_v2) = tptp_fun__plus_i_(tptp_fun__fun_app_u_(tptp_fun__cblinfun_apply_b_(A__questionmark_v0), A__questionmark_v2), tptp_fun__fun_app_u_(tptp_fun__cblinfun_apply_b_(A__questionmark_v1), A__questionmark_v2))))),
% 4.51/4.67 inference(bind,[status(th)],[])).
% 4.51/4.67 tff(57,plain,
% 4.51/4.67 (![A__questionmark_v0: |'C_ell2_d_ell2_cblinfun$'|, A__questionmark_v1: |'C_ell2_d_ell2_cblinfun$'|, A__questionmark_v2: |'C_ell2$'|] : (tptp_fun__fun_app_u_(tptp_fun__cblinfun_apply_b_(tptp_fun__fun_app_m_(tptp_fun__fun_app_n_(|'plus$a'|, A__questionmark_v0), A__questionmark_v1)), A__questionmark_v2) = tptp_fun__plus_i_(tptp_fun__fun_app_u_(tptp_fun__cblinfun_apply_b_(A__questionmark_v0), A__questionmark_v2), tptp_fun__fun_app_u_(tptp_fun__cblinfun_apply_b_(A__questionmark_v1), A__questionmark_v2))) <=> ![A__questionmark_v0: |'C_ell2_d_ell2_cblinfun$'|, A__questionmark_v1: |'C_ell2_d_ell2_cblinfun$'|, A__questionmark_v2: |'C_ell2$'|] : (tptp_fun__fun_app_u_(tptp_fun__cblinfun_apply_b_(tptp_fun__fun_app_m_(tptp_fun__fun_app_n_(|'plus$a'|, A__questionmark_v0), A__questionmark_v1)), A__questionmark_v2) = tptp_fun__plus_i_(tptp_fun__fun_app_u_(tptp_fun__cblinfun_apply_b_(A__questionmark_v0), A__questionmark_v2), tptp_fun__fun_app_u_(tptp_fun__cblinfun_apply_b_(A__questionmark_v1), A__questionmark_v2)))),
% 4.51/4.67 inference(quant_intro,[status(thm)],[56])).
% 4.51/4.67 tff(58,plain,
% 4.51/4.67 (![A__questionmark_v0: |'C_ell2_d_ell2_cblinfun$'|, A__questionmark_v1: |'C_ell2_d_ell2_cblinfun$'|, A__questionmark_v2: |'C_ell2$'|] : (tptp_fun__fun_app_u_(tptp_fun__cblinfun_apply_b_(tptp_fun__fun_app_m_(tptp_fun__fun_app_n_(|'plus$a'|, A__questionmark_v0), A__questionmark_v1)), A__questionmark_v2) = tptp_fun__plus_i_(tptp_fun__fun_app_u_(tptp_fun__cblinfun_apply_b_(A__questionmark_v0), A__questionmark_v2), tptp_fun__fun_app_u_(tptp_fun__cblinfun_apply_b_(A__questionmark_v1), A__questionmark_v2))) <=> ![A__questionmark_v0: |'C_ell2_d_ell2_cblinfun$'|, A__questionmark_v1: |'C_ell2_d_ell2_cblinfun$'|, A__questionmark_v2: |'C_ell2$'|] : (tptp_fun__fun_app_u_(tptp_fun__cblinfun_apply_b_(tptp_fun__fun_app_m_(tptp_fun__fun_app_n_(|'plus$a'|, A__questionmark_v0), A__questionmark_v1)), A__questionmark_v2) = tptp_fun__plus_i_(tptp_fun__fun_app_u_(tptp_fun__cblinfun_apply_b_(A__questionmark_v0), A__questionmark_v2), tptp_fun__fun_app_u_(tptp_fun__cblinfun_apply_b_(A__questionmark_v1), A__questionmark_v2)))),
% 4.51/4.67 inference(rewrite,[status(thm)],[])).
% 4.51/4.67 tff(59,axiom,(![A__questionmark_v0: |'C_ell2_d_ell2_cblinfun$'|, A__questionmark_v1: |'C_ell2_d_ell2_cblinfun$'|, A__questionmark_v2: |'C_ell2$'|] : (tptp_fun__fun_app_u_(tptp_fun__cblinfun_apply_b_(tptp_fun__fun_app_m_(tptp_fun__fun_app_n_(|'plus$a'|, A__questionmark_v0), A__questionmark_v1)), A__questionmark_v2) = tptp_fun__plus_i_(tptp_fun__fun_app_u_(tptp_fun__cblinfun_apply_b_(A__questionmark_v0), A__questionmark_v2), tptp_fun__fun_app_u_(tptp_fun__cblinfun_apply_b_(A__questionmark_v1), A__questionmark_v2)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','axiom34')).
% 4.51/4.67 tff(60,plain,
% 4.51/4.67 (![A__questionmark_v0: |'C_ell2_d_ell2_cblinfun$'|, A__questionmark_v1: |'C_ell2_d_ell2_cblinfun$'|, A__questionmark_v2: |'C_ell2$'|] : (tptp_fun__fun_app_u_(tptp_fun__cblinfun_apply_b_(tptp_fun__fun_app_m_(tptp_fun__fun_app_n_(|'plus$a'|, A__questionmark_v0), A__questionmark_v1)), A__questionmark_v2) = tptp_fun__plus_i_(tptp_fun__fun_app_u_(tptp_fun__cblinfun_apply_b_(A__questionmark_v0), A__questionmark_v2), tptp_fun__fun_app_u_(tptp_fun__cblinfun_apply_b_(A__questionmark_v1), A__questionmark_v2)))),
% 4.51/4.67 inference(modus_ponens,[status(thm)],[59, 58])).
% 4.51/4.67 tff(61,plain,(
% 4.51/4.67 ![A__questionmark_v0: |'C_ell2_d_ell2_cblinfun$'|, A__questionmark_v1: |'C_ell2_d_ell2_cblinfun$'|, A__questionmark_v2: |'C_ell2$'|] : (tptp_fun__fun_app_u_(tptp_fun__cblinfun_apply_b_(tptp_fun__fun_app_m_(tptp_fun__fun_app_n_(|'plus$a'|, A__questionmark_v0), A__questionmark_v1)), A__questionmark_v2) = tptp_fun__plus_i_(tptp_fun__fun_app_u_(tptp_fun__cblinfun_apply_b_(A__questionmark_v0), A__questionmark_v2), tptp_fun__fun_app_u_(tptp_fun__cblinfun_apply_b_(A__questionmark_v1), A__questionmark_v2)))),
% 4.51/4.67 inference(skolemize,[status(sab)],[60])).
% 4.51/4.67 tff(62,plain,
% 4.51/4.67 (![A__questionmark_v0: |'C_ell2_d_ell2_cblinfun$'|, A__questionmark_v1: |'C_ell2_d_ell2_cblinfun$'|, A__questionmark_v2: |'C_ell2$'|] : (tptp_fun__fun_app_u_(tptp_fun__cblinfun_apply_b_(tptp_fun__fun_app_m_(tptp_fun__fun_app_n_(|'plus$a'|, A__questionmark_v0), A__questionmark_v1)), A__questionmark_v2) = tptp_fun__plus_i_(tptp_fun__fun_app_u_(tptp_fun__cblinfun_apply_b_(A__questionmark_v0), A__questionmark_v2), tptp_fun__fun_app_u_(tptp_fun__cblinfun_apply_b_(A__questionmark_v1), A__questionmark_v2)))),
% 4.51/4.67 inference(modus_ponens,[status(thm)],[61, 57])).
% 4.51/4.67 tff(63,plain,
% 4.51/4.67 ((~![A__questionmark_v0: |'C_ell2_d_ell2_cblinfun$'|, A__questionmark_v1: |'C_ell2_d_ell2_cblinfun$'|, A__questionmark_v2: |'C_ell2$'|] : (tptp_fun__fun_app_u_(tptp_fun__cblinfun_apply_b_(tptp_fun__fun_app_m_(tptp_fun__fun_app_n_(|'plus$a'|, A__questionmark_v0), A__questionmark_v1)), A__questionmark_v2) = tptp_fun__plus_i_(tptp_fun__fun_app_u_(tptp_fun__cblinfun_apply_b_(A__questionmark_v0), A__questionmark_v2), tptp_fun__fun_app_u_(tptp_fun__cblinfun_apply_b_(A__questionmark_v1), A__questionmark_v2)))) | (tptp_fun__fun_app_u_(tptp_fun__cblinfun_apply_b_(tptp_fun__fun_app_m_(tptp_fun__fun_app_n_(|'plus$a'|, tptp_fun__fun_app_m_(tptp_fun__minus_b_(tptp_fun__fun_app_m_(tptp_fun__fun_app_n_(|'plus$a'|, |'b1$'|), |'b2$'|)), |'b2$'|)), |'b2$'|)), tptp_fun__ket_b_(|'j$'|)) = tptp_fun__plus_i_(tptp_fun__fun_app_u_(tptp_fun__cblinfun_apply_b_(tptp_fun__fun_app_m_(tptp_fun__minus_b_(tptp_fun__fun_app_m_(tptp_fun__fun_app_n_(|'plus$a'|, |'b1$'|), |'b2$'|)), |'b2$'|)), tptp_fun__ket_b_(|'j$'|)), tptp_fun__fun_app_u_(tptp_fun__cblinfun_apply_b_(|'b2$'|), tptp_fun__ket_b_(|'j$'|))))),
% 4.51/4.67 inference(quant_inst,[status(thm)],[])).
% 4.51/4.67 tff(64,plain,
% 4.51/4.67 (tptp_fun__fun_app_u_(tptp_fun__cblinfun_apply_b_(tptp_fun__fun_app_m_(tptp_fun__fun_app_n_(|'plus$a'|, tptp_fun__fun_app_m_(tptp_fun__minus_b_(tptp_fun__fun_app_m_(tptp_fun__fun_app_n_(|'plus$a'|, |'b1$'|), |'b2$'|)), |'b2$'|)), |'b2$'|)), tptp_fun__ket_b_(|'j$'|)) = tptp_fun__plus_i_(tptp_fun__fun_app_u_(tptp_fun__cblinfun_apply_b_(tptp_fun__fun_app_m_(tptp_fun__minus_b_(tptp_fun__fun_app_m_(tptp_fun__fun_app_n_(|'plus$a'|, |'b1$'|), |'b2$'|)), |'b2$'|)), tptp_fun__ket_b_(|'j$'|)), tptp_fun__fun_app_u_(tptp_fun__cblinfun_apply_b_(|'b2$'|), tptp_fun__ket_b_(|'j$'|)))),
% 4.51/4.68 inference(unit_resolution,[status(thm)],[63, 62])).
% 4.51/4.68 tff(65,plain,
% 4.51/4.68 (tptp_fun__fun_app_n_(|'plus$a'|, tptp_fun__fun_app_m_(tptp_fun__minus_b_(tptp_fun__fun_app_m_(tptp_fun__fun_app_n_(|'plus$a'|, |'b1$'|), |'b2$'|)), |'b2$'|)) = tptp_fun__fun_app_n_(|'plus$a'|, |'b1$'|)),
% 4.51/4.68 inference(monotonicity,[status(thm)],[50])).
% 4.51/4.68 tff(66,plain,
% 4.51/4.68 (tptp_fun__fun_app_m_(tptp_fun__fun_app_n_(|'plus$a'|, tptp_fun__fun_app_m_(tptp_fun__minus_b_(tptp_fun__fun_app_m_(tptp_fun__fun_app_n_(|'plus$a'|, |'b1$'|), |'b2$'|)), |'b2$'|)), |'b2$'|) = tptp_fun__fun_app_m_(tptp_fun__fun_app_n_(|'plus$a'|, |'b1$'|), |'b2$'|)),
% 4.51/4.68 inference(monotonicity,[status(thm)],[65])).
% 4.51/4.68 tff(67,plain,
% 4.51/4.68 (tptp_fun__cblinfun_apply_b_(tptp_fun__fun_app_m_(tptp_fun__fun_app_n_(|'plus$a'|, tptp_fun__fun_app_m_(tptp_fun__minus_b_(tptp_fun__fun_app_m_(tptp_fun__fun_app_n_(|'plus$a'|, |'b1$'|), |'b2$'|)), |'b2$'|)), |'b2$'|)) = tptp_fun__cblinfun_apply_b_(tptp_fun__fun_app_m_(tptp_fun__fun_app_n_(|'plus$a'|, |'b1$'|), |'b2$'|))),
% 4.51/4.68 inference(monotonicity,[status(thm)],[66])).
% 4.51/4.68 tff(68,plain,
% 4.51/4.68 (tptp_fun__fun_app_u_(tptp_fun__cblinfun_apply_b_(tptp_fun__fun_app_m_(tptp_fun__fun_app_n_(|'plus$a'|, tptp_fun__fun_app_m_(tptp_fun__minus_b_(tptp_fun__fun_app_m_(tptp_fun__fun_app_n_(|'plus$a'|, |'b1$'|), |'b2$'|)), |'b2$'|)), |'b2$'|)), tptp_fun__ket_b_(|'j$'|)) = tptp_fun__fun_app_u_(tptp_fun__cblinfun_apply_b_(tptp_fun__fun_app_m_(tptp_fun__fun_app_n_(|'plus$a'|, |'b1$'|), |'b2$'|)), tptp_fun__ket_b_(|'j$'|))),
% 4.51/4.68 inference(monotonicity,[status(thm)],[67])).
% 4.51/4.68 tff(69,plain,
% 4.51/4.68 (tptp_fun__fun_app_u_(tptp_fun__cblinfun_apply_b_(tptp_fun__fun_app_m_(tptp_fun__fun_app_n_(|'plus$a'|, |'b1$'|), |'b2$'|)), tptp_fun__ket_b_(|'j$'|)) = tptp_fun__fun_app_u_(tptp_fun__cblinfun_apply_b_(tptp_fun__fun_app_m_(tptp_fun__fun_app_n_(|'plus$a'|, tptp_fun__fun_app_m_(tptp_fun__minus_b_(tptp_fun__fun_app_m_(tptp_fun__fun_app_n_(|'plus$a'|, |'b1$'|), |'b2$'|)), |'b2$'|)), |'b2$'|)), tptp_fun__ket_b_(|'j$'|))),
% 4.51/4.68 inference(symmetry,[status(thm)],[68])).
% 4.51/4.68 tff(70,plain,
% 4.51/4.68 (tptp_fun__fun_app_u_(tptp_fun__cblinfun_apply_b_(tptp_fun__fun_app_m_(tptp_fun__fun_app_n_(|'plus$a'|, |'b1$'|), |'b2$'|)), tptp_fun__ket_b_(|'j$'|)) = tptp_fun__plus_i_(tptp_fun__fun_app_u_(tptp_fun__cblinfun_apply_b_(|'b1$'|), tptp_fun__ket_b_(|'j$'|)), tptp_fun__fun_app_u_(tptp_fun__cblinfun_apply_b_(|'b2$'|), tptp_fun__ket_b_(|'j$'|)))),
% 4.51/4.68 inference(transitivity,[status(thm)],[69, 64, 55])).
% 4.51/4.68 tff(71,plain,
% 4.51/4.68 (tptp_fun__tensor_ell2__(tptp_fun__fun_app_t_(tptp_fun__cblinfun_apply_a_(|'a$'|), tptp_fun__ket_a_(|'i$'|)), tptp_fun__fun_app_u_(tptp_fun__cblinfun_apply_b_(tptp_fun__fun_app_m_(tptp_fun__fun_app_n_(|'plus$a'|, |'b1$'|), |'b2$'|)), tptp_fun__ket_b_(|'j$'|))) = tptp_fun__tensor_ell2__(tptp_fun__fun_app_t_(tptp_fun__cblinfun_apply_a_(|'a$'|), tptp_fun__ket_a_(|'i$'|)), tptp_fun__plus_i_(tptp_fun__fun_app_u_(tptp_fun__cblinfun_apply_b_(|'b1$'|), tptp_fun__ket_b_(|'j$'|)), tptp_fun__fun_app_u_(tptp_fun__cblinfun_apply_b_(|'b2$'|), tptp_fun__ket_b_(|'j$'|))))),
% 4.51/4.68 inference(monotonicity,[status(thm)],[70])).
% 4.51/4.68 tff(72,plain,
% 4.51/4.68 ((~![A__questionmark_v0: |'A_ell2_b_ell2_cblinfun$'|, A__questionmark_v1: |'C_ell2_d_ell2_cblinfun$'|, A__questionmark_v2: |'A$'|, A__questionmark_v3: |'C$'|] : (tptp_fun__fun_app_k_(tptp_fun__fun_app_l_(|'cblinfun_apply$'|, tptp_fun__tensor_op__(A__questionmark_v0, A__questionmark_v1)), tptp_fun__fun_app_o_(|'ket$'|, tptp_fun__fun_app_p_(tptp_fun__fun_app_q_(|'pair$'|, A__questionmark_v2), A__questionmark_v3))) = tptp_fun__tensor_ell2__(tptp_fun__fun_app_t_(tptp_fun__cblinfun_apply_a_(A__questionmark_v0), tptp_fun__ket_a_(A__questionmark_v2)), tptp_fun__fun_app_u_(tptp_fun__cblinfun_apply_b_(A__questionmark_v1), tptp_fun__ket_b_(A__questionmark_v3))))) | (tptp_fun__fun_app_k_(tptp_fun__fun_app_l_(|'cblinfun_apply$'|, tptp_fun__tensor_op__(|'a$'|, tptp_fun__fun_app_m_(tptp_fun__fun_app_n_(|'plus$a'|, |'b1$'|), |'b2$'|))), tptp_fun__fun_app_o_(|'ket$'|, tptp_fun__fun_app_p_(tptp_fun__fun_app_q_(|'pair$'|, |'i$'|), |'j$'|))) = tptp_fun__tensor_ell2__(tptp_fun__fun_app_t_(tptp_fun__cblinfun_apply_a_(|'a$'|), tptp_fun__ket_a_(|'i$'|)), tptp_fun__fun_app_u_(tptp_fun__cblinfun_apply_b_(tptp_fun__fun_app_m_(tptp_fun__fun_app_n_(|'plus$a'|, |'b1$'|), |'b2$'|)), tptp_fun__ket_b_(|'j$'|))))),
% 4.51/4.68 inference(quant_inst,[status(thm)],[])).
% 4.51/4.68 tff(73,plain,
% 4.51/4.68 (tptp_fun__fun_app_k_(tptp_fun__fun_app_l_(|'cblinfun_apply$'|, tptp_fun__tensor_op__(|'a$'|, tptp_fun__fun_app_m_(tptp_fun__fun_app_n_(|'plus$a'|, |'b1$'|), |'b2$'|))), tptp_fun__fun_app_o_(|'ket$'|, tptp_fun__fun_app_p_(tptp_fun__fun_app_q_(|'pair$'|, |'i$'|), |'j$'|))) = tptp_fun__tensor_ell2__(tptp_fun__fun_app_t_(tptp_fun__cblinfun_apply_a_(|'a$'|), tptp_fun__ket_a_(|'i$'|)), tptp_fun__fun_app_u_(tptp_fun__cblinfun_apply_b_(tptp_fun__fun_app_m_(tptp_fun__fun_app_n_(|'plus$a'|, |'b1$'|), |'b2$'|)), tptp_fun__ket_b_(|'j$'|)))),
% 4.51/4.68 inference(unit_resolution,[status(thm)],[72, 17])).
% 4.51/4.68 tff(74,plain,
% 4.51/4.68 (tptp_fun__fun_app_k_(tptp_fun__fun_app_l_(|'cblinfun_apply$'|, tptp_fun__tensor_op__(|'a$'|, tptp_fun__fun_app_m_(tptp_fun__fun_app_n_(|'plus$a'|, |'b1$'|), |'b2$'|))), tptp_fun__fun_app_o_(|'ket$'|, tptp_fun__fun_app_p_(tptp_fun__fun_app_q_(|'pair$'|, |'i$'|), |'j$'|))) = tptp_fun__fun_app_k_(tptp_fun__fun_app_l_(|'cblinfun_apply$'|, tptp_fun__fun_app_r_(tptp_fun__fun_app_s_(|'plus$b'|, tptp_fun__tensor_op__(|'a$'|, |'b1$'|)), tptp_fun__tensor_op__(|'a$'|, |'b2$'|))), tptp_fun__fun_app_o_(|'ket$'|, tptp_fun__fun_app_p_(tptp_fun__fun_app_q_(|'pair$'|, |'i$'|), |'j$'|)))),
% 4.51/4.68 inference(transitivity,[status(thm)],[73, 71, 33, 24, 10])).
% 4.51/4.68 tff(75,plain,
% 4.51/4.68 ((~(tptp_fun__fun_app_k_(tptp_fun__fun_app_l_(|'cblinfun_apply$'|, tptp_fun__tensor_op__(|'a$'|, tptp_fun__fun_app_m_(tptp_fun__fun_app_n_(|'plus$a'|, |'b1$'|), |'b2$'|))), tptp_fun__fun_app_o_(|'ket$'|, tptp_fun__fun_app_p_(tptp_fun__fun_app_q_(|'pair$'|, |'i$'|), |'j$'|))) = tptp_fun__fun_app_k_(tptp_fun__fun_app_l_(|'cblinfun_apply$'|, tptp_fun__fun_app_r_(tptp_fun__fun_app_s_(|'plus$b'|, tptp_fun__tensor_op__(|'a$'|, |'b1$'|)), tptp_fun__tensor_op__(|'a$'|, |'b2$'|))), tptp_fun__fun_app_o_(|'ket$'|, tptp_fun__fun_app_p_(tptp_fun__fun_app_q_(|'pair$'|, |'i$'|), |'j$'|))))) <=> (~(tptp_fun__fun_app_k_(tptp_fun__fun_app_l_(|'cblinfun_apply$'|, tptp_fun__tensor_op__(|'a$'|, tptp_fun__fun_app_m_(tptp_fun__fun_app_n_(|'plus$a'|, |'b1$'|), |'b2$'|))), tptp_fun__fun_app_o_(|'ket$'|, tptp_fun__fun_app_p_(tptp_fun__fun_app_q_(|'pair$'|, |'i$'|), |'j$'|))) = tptp_fun__fun_app_k_(tptp_fun__fun_app_l_(|'cblinfun_apply$'|, tptp_fun__fun_app_r_(tptp_fun__fun_app_s_(|'plus$b'|, tptp_fun__tensor_op__(|'a$'|, |'b1$'|)), tptp_fun__tensor_op__(|'a$'|, |'b2$'|))), tptp_fun__fun_app_o_(|'ket$'|, tptp_fun__fun_app_p_(tptp_fun__fun_app_q_(|'pair$'|, |'i$'|), |'j$'|)))))),
% 4.51/4.68 inference(rewrite,[status(thm)],[])).
% 4.51/4.68 tff(76,axiom,(~(tptp_fun__fun_app_k_(tptp_fun__fun_app_l_(|'cblinfun_apply$'|, tptp_fun__tensor_op__(|'a$'|, tptp_fun__fun_app_m_(tptp_fun__fun_app_n_(|'plus$a'|, |'b1$'|), |'b2$'|))), tptp_fun__fun_app_o_(|'ket$'|, tptp_fun__fun_app_p_(tptp_fun__fun_app_q_(|'pair$'|, |'i$'|), |'j$'|))) = tptp_fun__fun_app_k_(tptp_fun__fun_app_l_(|'cblinfun_apply$'|, tptp_fun__fun_app_r_(tptp_fun__fun_app_s_(|'plus$b'|, tptp_fun__tensor_op__(|'a$'|, |'b1$'|)), tptp_fun__tensor_op__(|'a$'|, |'b2$'|))), tptp_fun__fun_app_o_(|'ket$'|, tptp_fun__fun_app_p_(tptp_fun__fun_app_q_(|'pair$'|, |'i$'|), |'j$'|))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','conjecture9')).
% 4.51/4.68 tff(77,plain,
% 4.51/4.68 (~(tptp_fun__fun_app_k_(tptp_fun__fun_app_l_(|'cblinfun_apply$'|, tptp_fun__tensor_op__(|'a$'|, tptp_fun__fun_app_m_(tptp_fun__fun_app_n_(|'plus$a'|, |'b1$'|), |'b2$'|))), tptp_fun__fun_app_o_(|'ket$'|, tptp_fun__fun_app_p_(tptp_fun__fun_app_q_(|'pair$'|, |'i$'|), |'j$'|))) = tptp_fun__fun_app_k_(tptp_fun__fun_app_l_(|'cblinfun_apply$'|, tptp_fun__fun_app_r_(tptp_fun__fun_app_s_(|'plus$b'|, tptp_fun__tensor_op__(|'a$'|, |'b1$'|)), tptp_fun__tensor_op__(|'a$'|, |'b2$'|))), tptp_fun__fun_app_o_(|'ket$'|, tptp_fun__fun_app_p_(tptp_fun__fun_app_q_(|'pair$'|, |'i$'|), |'j$'|))))),
% 4.51/4.72 inference(modus_ponens,[status(thm)],[76, 75])).
% 4.51/4.72 tff(78,plain,
% 4.51/4.72 ($false),
% 4.51/4.72 inference(unit_resolution,[status(thm)],[77, 74])).
% 4.51/4.72 % SZS output end Proof
% 4.51/4.75 % E exiting
%------------------------------------------------------------------------------