%------------------------------------------------------------------------------
% File : Z3---4.15.1
% Problem : LAT378+1 : TPTP v9.0.0. Released v3.4.0.
% Transfm : none
% Format : tptp
% Command : run_E %s %d THM
% Computer : n007.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Sat Jun 21 05:14:35 AM UTC 2025
% Result : Theorem 0.20s 0.53s
% Output : Proof 0.57s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : LAT378+1 : TPTP v9.0.0. Released v3.4.0.
% 0.03/0.12 % Command : run_E %s %d THM
% 0.11/0.33 % Computer : n007.cluster.edu
% 0.11/0.33 % Model : x86_64 x86_64
% 0.11/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.33 % Memory : 8042.1875MB
% 0.11/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.33 % CPULimit : 300
% 0.11/0.33 % WCLimit : 300
% 0.11/0.33 % DateTime : Thu Jun 19 20:50:19 EDT 2025
% 0.11/0.33 % CPUTime :
% 0.20/0.53 % SZS status Theorem
% 0.20/0.53 % SZS output start Proof
% 0.20/0.53 tff(v1_finset_1_type, type, (
% 0.20/0.53 v1_finset_1: $i > $o)).
% 0.20/0.53 tff(k9_relat_1_type, type, (
% 0.20/0.53 k9_relat_1: ( $i * $i ) > $i)).
% 0.20/0.53 tff(tptp_fun_D_5_type, type, (
% 0.20/0.53 tptp_fun_D_5: ( $i * $i * $i ) > $i)).
% 0.20/0.53 tff(tptp_fun_A_0_type, type, (
% 0.20/0.53 tptp_fun_A_0: $i)).
% 0.20/0.53 tff(tptp_fun_C_2_type, type, (
% 0.20/0.53 tptp_fun_C_2: $i)).
% 0.20/0.53 tff(k5_relat_1_type, type, (
% 0.20/0.53 k5_relat_1: ( $i * $i ) > $i)).
% 0.20/0.53 tff(tptp_fun_E_4_type, type, (
% 0.20/0.53 tptp_fun_E_4: $i)).
% 0.20/0.53 tff(tptp_fun_D_3_type, type, (
% 0.20/0.53 tptp_fun_D_3: $i)).
% 0.20/0.53 tff(k4_pre_topc_type, type, (
% 0.20/0.53 k4_pre_topc: ( $i * $i * $i * $i ) > $i)).
% 0.20/0.53 tff(tptp_fun_B_1_type, type, (
% 0.20/0.53 tptp_fun_B_1: $i)).
% 0.20/0.53 tff(m1_relset_1_type, type, (
% 0.20/0.53 m1_relset_1: ( $i * $i * $i ) > $o)).
% 0.20/0.53 tff(u1_struct_0_type, type, (
% 0.20/0.53 u1_struct_0: $i > $i)).
% 0.20/0.53 tff(m2_relset_1_type, type, (
% 0.20/0.53 m2_relset_1: ( $i * $i * $i ) > $o)).
% 0.20/0.53 tff(v1_funct_2_type, type, (
% 0.20/0.53 v1_funct_2: ( $i * $i * $i ) > $o)).
% 0.20/0.53 tff(v1_funct_1_type, type, (
% 0.20/0.53 v1_funct_1: $i > $o)).
% 0.20/0.53 tff(v4_waybel34_type, type, (
% 0.20/0.53 v4_waybel34: ( $i * $i * $i ) > $o)).
% 0.20/0.53 tff(k7_funct_2_type, type, (
% 0.20/0.53 k7_funct_2: ( $i * $i * $i * $i * $i ) > $i)).
% 0.20/0.53 tff(l1_orders_2_type, type, (
% 0.20/0.53 l1_orders_2: $i > $o)).
% 0.20/0.53 tff(v3_struct_0_type, type, (
% 0.20/0.53 v3_struct_0: $i > $o)).
% 0.20/0.53 tff(l1_struct_0_type, type, (
% 0.20/0.53 l1_struct_0: $i > $o)).
% 0.20/0.53 tff(m1_subset_1_type, type, (
% 0.20/0.53 m1_subset_1: ( $i * $i ) > $o)).
% 0.20/0.53 tff(k1_zfmisc_1_type, type, (
% 0.20/0.53 k1_zfmisc_1: $i > $i)).
% 0.20/0.53 tff(r4_waybel_0_type, type, (
% 0.20/0.53 r4_waybel_0: ( $i * $i * $i * $i ) > $o)).
% 0.20/0.53 tff(v1_xboole_0_type, type, (
% 0.20/0.53 v1_xboole_0: $i > $o)).
% 0.20/0.53 tff(v1_relat_1_type, type, (
% 0.20/0.53 v1_relat_1: $i > $o)).
% 0.20/0.53 tff(k2_zfmisc_1_type, type, (
% 0.20/0.53 k2_zfmisc_1: ( $i * $i ) > $i)).
% 0.20/0.53 tff(1,plain,
% 0.20/0.53 (^[A: $i, B: $i, C: $i] : refl((m2_relset_1(C, A, B) <=> m1_relset_1(C, A, B)) <=> (m2_relset_1(C, A, B) <=> m1_relset_1(C, A, B)))),
% 0.20/0.53 inference(bind,[status(th)],[])).
% 0.20/0.53 tff(2,plain,
% 0.20/0.53 (![A: $i, B: $i, C: $i] : (m2_relset_1(C, A, B) <=> m1_relset_1(C, A, B)) <=> ![A: $i, B: $i, C: $i] : (m2_relset_1(C, A, B) <=> m1_relset_1(C, A, B))),
% 0.20/0.53 inference(quant_intro,[status(thm)],[1])).
% 0.20/0.53 tff(3,plain,
% 0.20/0.53 (![A: $i, B: $i, C: $i] : (m2_relset_1(C, A, B) <=> m1_relset_1(C, A, B)) <=> ![A: $i, B: $i, C: $i] : (m2_relset_1(C, A, B) <=> m1_relset_1(C, A, B))),
% 0.20/0.53 inference(rewrite,[status(thm)],[])).
% 0.20/0.53 tff(4,axiom,(![A: $i, B: $i, C: $i] : (m2_relset_1(C, A, B) <=> m1_relset_1(C, A, B))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','redefinition_m2_relset_1')).
% 0.20/0.53 tff(5,plain,
% 0.20/0.53 (![A: $i, B: $i, C: $i] : (m2_relset_1(C, A, B) <=> m1_relset_1(C, A, B))),
% 0.20/0.53 inference(modus_ponens,[status(thm)],[4, 3])).
% 0.20/0.53 tff(6,plain,(
% 0.20/0.53 ![A: $i, B: $i, C: $i] : (m2_relset_1(C, A, B) <=> m1_relset_1(C, A, B))),
% 0.20/0.53 inference(skolemize,[status(sab)],[5])).
% 0.20/0.53 tff(7,plain,
% 0.20/0.53 (![A: $i, B: $i, C: $i] : (m2_relset_1(C, A, B) <=> m1_relset_1(C, A, B))),
% 0.20/0.53 inference(modus_ponens,[status(thm)],[6, 2])).
% 0.20/0.53 tff(8,plain,
% 0.20/0.53 ((~![A: $i, B: $i, C: $i] : (m2_relset_1(C, A, B) <=> m1_relset_1(C, A, B))) | (m2_relset_1(D!3, u1_struct_0(A!0), u1_struct_0(B!1)) <=> m1_relset_1(D!3, u1_struct_0(A!0), u1_struct_0(B!1)))),
% 0.20/0.53 inference(quant_inst,[status(thm)],[])).
% 0.20/0.53 tff(9,plain,
% 0.20/0.53 (m2_relset_1(D!3, u1_struct_0(A!0), u1_struct_0(B!1)) <=> m1_relset_1(D!3, u1_struct_0(A!0), u1_struct_0(B!1))),
% 0.20/0.53 inference(unit_resolution,[status(thm)],[8, 7])).
% 0.20/0.53 tff(10,plain,
% 0.20/0.53 ((((~v3_struct_0(A!0)) & l1_orders_2(A!0)) & ((~v3_struct_0(B!1)) & l1_orders_2(B!1) & (~v3_struct_0(C!2)) & l1_orders_2(C!2) & v1_funct_1(D!3) & v1_funct_2(D!3, u1_struct_0(A!0), u1_struct_0(B!1)) & m2_relset_1(D!3, u1_struct_0(A!0), u1_struct_0(B!1)) & (~(v4_waybel34(k7_funct_2(u1_struct_0(A!0), u1_struct_0(B!1), u1_struct_0(C!2), D!3, E!4), A!0, C!2) | (~(v4_waybel34(D!3, A!0, B!1) & v4_waybel34(E!4, B!1, C!2))) | (~(v1_funct_1(E!4) & v1_funct_2(E!4, u1_struct_0(B!1), u1_struct_0(C!2)) & m2_relset_1(E!4, u1_struct_0(B!1), u1_struct_0(C!2)))))))) <=> ((~v3_struct_0(A!0)) & l1_orders_2(A!0) & (~v3_struct_0(B!1)) & l1_orders_2(B!1) & (~v3_struct_0(C!2)) & l1_orders_2(C!2) & v1_funct_1(D!3) & v1_funct_2(D!3, u1_struct_0(A!0), u1_struct_0(B!1)) & m2_relset_1(D!3, u1_struct_0(A!0), u1_struct_0(B!1)) & (~(v4_waybel34(k7_funct_2(u1_struct_0(A!0), u1_struct_0(B!1), u1_struct_0(C!2), D!3, E!4), A!0, C!2) | (~(v4_waybel34(D!3, A!0, B!1) & v4_waybel34(E!4, B!1, C!2))) | (~(v1_funct_1(E!4) & v1_funct_2(E!4, u1_struct_0(B!1), u1_struct_0(C!2)) & m2_relset_1(E!4, u1_struct_0(B!1), u1_struct_0(C!2)))))))),
% 0.20/0.53 inference(rewrite,[status(thm)],[])).
% 0.20/0.53 tff(11,plain,
% 0.20/0.53 ((((~v3_struct_0(B!1)) & l1_orders_2(B!1)) & ((~v3_struct_0(C!2)) & l1_orders_2(C!2) & v1_funct_1(D!3) & v1_funct_2(D!3, u1_struct_0(A!0), u1_struct_0(B!1)) & m2_relset_1(D!3, u1_struct_0(A!0), u1_struct_0(B!1)) & (~(v4_waybel34(k7_funct_2(u1_struct_0(A!0), u1_struct_0(B!1), u1_struct_0(C!2), D!3, E!4), A!0, C!2) | (~(v4_waybel34(D!3, A!0, B!1) & v4_waybel34(E!4, B!1, C!2))) | (~(v1_funct_1(E!4) & v1_funct_2(E!4, u1_struct_0(B!1), u1_struct_0(C!2)) & m2_relset_1(E!4, u1_struct_0(B!1), u1_struct_0(C!2)))))))) <=> ((~v3_struct_0(B!1)) & l1_orders_2(B!1) & (~v3_struct_0(C!2)) & l1_orders_2(C!2) & v1_funct_1(D!3) & v1_funct_2(D!3, u1_struct_0(A!0), u1_struct_0(B!1)) & m2_relset_1(D!3, u1_struct_0(A!0), u1_struct_0(B!1)) & (~(v4_waybel34(k7_funct_2(u1_struct_0(A!0), u1_struct_0(B!1), u1_struct_0(C!2), D!3, E!4), A!0, C!2) | (~(v4_waybel34(D!3, A!0, B!1) & v4_waybel34(E!4, B!1, C!2))) | (~(v1_funct_1(E!4) & v1_funct_2(E!4, u1_struct_0(B!1), u1_struct_0(C!2)) & m2_relset_1(E!4, u1_struct_0(B!1), u1_struct_0(C!2)))))))),
% 0.20/0.53 inference(rewrite,[status(thm)],[])).
% 0.20/0.53 tff(12,plain,
% 0.20/0.53 ((((~v3_struct_0(C!2)) & l1_orders_2(C!2)) & (v1_funct_1(D!3) & v1_funct_2(D!3, u1_struct_0(A!0), u1_struct_0(B!1)) & m2_relset_1(D!3, u1_struct_0(A!0), u1_struct_0(B!1)) & (~(v4_waybel34(k7_funct_2(u1_struct_0(A!0), u1_struct_0(B!1), u1_struct_0(C!2), D!3, E!4), A!0, C!2) | (~(v4_waybel34(D!3, A!0, B!1) & v4_waybel34(E!4, B!1, C!2))) | (~(v1_funct_1(E!4) & v1_funct_2(E!4, u1_struct_0(B!1), u1_struct_0(C!2)) & m2_relset_1(E!4, u1_struct_0(B!1), u1_struct_0(C!2)))))))) <=> ((~v3_struct_0(C!2)) & l1_orders_2(C!2) & v1_funct_1(D!3) & v1_funct_2(D!3, u1_struct_0(A!0), u1_struct_0(B!1)) & m2_relset_1(D!3, u1_struct_0(A!0), u1_struct_0(B!1)) & (~(v4_waybel34(k7_funct_2(u1_struct_0(A!0), u1_struct_0(B!1), u1_struct_0(C!2), D!3, E!4), A!0, C!2) | (~(v4_waybel34(D!3, A!0, B!1) & v4_waybel34(E!4, B!1, C!2))) | (~(v1_funct_1(E!4) & v1_funct_2(E!4, u1_struct_0(B!1), u1_struct_0(C!2)) & m2_relset_1(E!4, u1_struct_0(B!1), u1_struct_0(C!2)))))))),
% 0.20/0.53 inference(rewrite,[status(thm)],[])).
% 0.20/0.53 tff(13,plain,
% 0.20/0.53 (((v1_funct_1(D!3) & v1_funct_2(D!3, u1_struct_0(A!0), u1_struct_0(B!1)) & m2_relset_1(D!3, u1_struct_0(A!0), u1_struct_0(B!1))) & (~(v4_waybel34(k7_funct_2(u1_struct_0(A!0), u1_struct_0(B!1), u1_struct_0(C!2), D!3, E!4), A!0, C!2) | (~(v4_waybel34(D!3, A!0, B!1) & v4_waybel34(E!4, B!1, C!2))) | (~(v1_funct_1(E!4) & v1_funct_2(E!4, u1_struct_0(B!1), u1_struct_0(C!2)) & m2_relset_1(E!4, u1_struct_0(B!1), u1_struct_0(C!2))))))) <=> (v1_funct_1(D!3) & v1_funct_2(D!3, u1_struct_0(A!0), u1_struct_0(B!1)) & m2_relset_1(D!3, u1_struct_0(A!0), u1_struct_0(B!1)) & (~(v4_waybel34(k7_funct_2(u1_struct_0(A!0), u1_struct_0(B!1), u1_struct_0(C!2), D!3, E!4), A!0, C!2) | (~(v4_waybel34(D!3, A!0, B!1) & v4_waybel34(E!4, B!1, C!2))) | (~(v1_funct_1(E!4) & v1_funct_2(E!4, u1_struct_0(B!1), u1_struct_0(C!2)) & m2_relset_1(E!4, u1_struct_0(B!1), u1_struct_0(C!2)))))))),
% 0.20/0.53 inference(rewrite,[status(thm)],[])).
% 0.20/0.53 tff(14,plain,
% 0.20/0.53 ((~(v4_waybel34(k7_funct_2(u1_struct_0(A!0), u1_struct_0(B!1), u1_struct_0(C!2), D!3, E!4), A!0, C!2) | (~(v4_waybel34(D!3, A!0, B!1) & v4_waybel34(E!4, B!1, C!2))) | (~(v1_funct_1(E!4) & v1_funct_2(E!4, u1_struct_0(B!1), u1_struct_0(C!2)) & m2_relset_1(E!4, u1_struct_0(B!1), u1_struct_0(C!2)))))) <=> (~(v4_waybel34(k7_funct_2(u1_struct_0(A!0), u1_struct_0(B!1), u1_struct_0(C!2), D!3, E!4), A!0, C!2) | (~(v4_waybel34(D!3, A!0, B!1) & v4_waybel34(E!4, B!1, C!2))) | (~(v1_funct_1(E!4) & v1_funct_2(E!4, u1_struct_0(B!1), u1_struct_0(C!2)) & m2_relset_1(E!4, u1_struct_0(B!1), u1_struct_0(C!2))))))),
% 0.20/0.53 inference(rewrite,[status(thm)],[])).
% 0.20/0.53 tff(15,plain,
% 0.20/0.54 (((v1_funct_1(D!3) & v1_funct_2(D!3, u1_struct_0(A!0), u1_struct_0(B!1)) & m2_relset_1(D!3, u1_struct_0(A!0), u1_struct_0(B!1))) & (~(v4_waybel34(k7_funct_2(u1_struct_0(A!0), u1_struct_0(B!1), u1_struct_0(C!2), D!3, E!4), A!0, C!2) | (~(v4_waybel34(D!3, A!0, B!1) & v4_waybel34(E!4, B!1, C!2))) | (~(v1_funct_1(E!4) & v1_funct_2(E!4, u1_struct_0(B!1), u1_struct_0(C!2)) & m2_relset_1(E!4, u1_struct_0(B!1), u1_struct_0(C!2))))))) <=> ((v1_funct_1(D!3) & v1_funct_2(D!3, u1_struct_0(A!0), u1_struct_0(B!1)) & m2_relset_1(D!3, u1_struct_0(A!0), u1_struct_0(B!1))) & (~(v4_waybel34(k7_funct_2(u1_struct_0(A!0), u1_struct_0(B!1), u1_struct_0(C!2), D!3, E!4), A!0, C!2) | (~(v4_waybel34(D!3, A!0, B!1) & v4_waybel34(E!4, B!1, C!2))) | (~(v1_funct_1(E!4) & v1_funct_2(E!4, u1_struct_0(B!1), u1_struct_0(C!2)) & m2_relset_1(E!4, u1_struct_0(B!1), u1_struct_0(C!2)))))))),
% 0.20/0.54 inference(monotonicity,[status(thm)],[14])).
% 0.20/0.54 tff(16,plain,
% 0.20/0.54 (((v1_funct_1(D!3) & v1_funct_2(D!3, u1_struct_0(A!0), u1_struct_0(B!1)) & m2_relset_1(D!3, u1_struct_0(A!0), u1_struct_0(B!1))) & (~(v4_waybel34(k7_funct_2(u1_struct_0(A!0), u1_struct_0(B!1), u1_struct_0(C!2), D!3, E!4), A!0, C!2) | (~(v4_waybel34(D!3, A!0, B!1) & v4_waybel34(E!4, B!1, C!2))) | (~(v1_funct_1(E!4) & v1_funct_2(E!4, u1_struct_0(B!1), u1_struct_0(C!2)) & m2_relset_1(E!4, u1_struct_0(B!1), u1_struct_0(C!2))))))) <=> (v1_funct_1(D!3) & v1_funct_2(D!3, u1_struct_0(A!0), u1_struct_0(B!1)) & m2_relset_1(D!3, u1_struct_0(A!0), u1_struct_0(B!1)) & (~(v4_waybel34(k7_funct_2(u1_struct_0(A!0), u1_struct_0(B!1), u1_struct_0(C!2), D!3, E!4), A!0, C!2) | (~(v4_waybel34(D!3, A!0, B!1) & v4_waybel34(E!4, B!1, C!2))) | (~(v1_funct_1(E!4) & v1_funct_2(E!4, u1_struct_0(B!1), u1_struct_0(C!2)) & m2_relset_1(E!4, u1_struct_0(B!1), u1_struct_0(C!2)))))))),
% 0.20/0.54 inference(transitivity,[status(thm)],[15, 13])).
% 0.20/0.54 tff(17,plain,
% 0.20/0.54 ((((~v3_struct_0(C!2)) & l1_orders_2(C!2)) & ((v1_funct_1(D!3) & v1_funct_2(D!3, u1_struct_0(A!0), u1_struct_0(B!1)) & m2_relset_1(D!3, u1_struct_0(A!0), u1_struct_0(B!1))) & (~(v4_waybel34(k7_funct_2(u1_struct_0(A!0), u1_struct_0(B!1), u1_struct_0(C!2), D!3, E!4), A!0, C!2) | (~(v4_waybel34(D!3, A!0, B!1) & v4_waybel34(E!4, B!1, C!2))) | (~(v1_funct_1(E!4) & v1_funct_2(E!4, u1_struct_0(B!1), u1_struct_0(C!2)) & m2_relset_1(E!4, u1_struct_0(B!1), u1_struct_0(C!2)))))))) <=> (((~v3_struct_0(C!2)) & l1_orders_2(C!2)) & (v1_funct_1(D!3) & v1_funct_2(D!3, u1_struct_0(A!0), u1_struct_0(B!1)) & m2_relset_1(D!3, u1_struct_0(A!0), u1_struct_0(B!1)) & (~(v4_waybel34(k7_funct_2(u1_struct_0(A!0), u1_struct_0(B!1), u1_struct_0(C!2), D!3, E!4), A!0, C!2) | (~(v4_waybel34(D!3, A!0, B!1) & v4_waybel34(E!4, B!1, C!2))) | (~(v1_funct_1(E!4) & v1_funct_2(E!4, u1_struct_0(B!1), u1_struct_0(C!2)) & m2_relset_1(E!4, u1_struct_0(B!1), u1_struct_0(C!2))))))))),
% 0.20/0.54 inference(monotonicity,[status(thm)],[16])).
% 0.20/0.54 tff(18,plain,
% 0.20/0.54 ((((~v3_struct_0(C!2)) & l1_orders_2(C!2)) & ((v1_funct_1(D!3) & v1_funct_2(D!3, u1_struct_0(A!0), u1_struct_0(B!1)) & m2_relset_1(D!3, u1_struct_0(A!0), u1_struct_0(B!1))) & (~(v4_waybel34(k7_funct_2(u1_struct_0(A!0), u1_struct_0(B!1), u1_struct_0(C!2), D!3, E!4), A!0, C!2) | (~(v4_waybel34(D!3, A!0, B!1) & v4_waybel34(E!4, B!1, C!2))) | (~(v1_funct_1(E!4) & v1_funct_2(E!4, u1_struct_0(B!1), u1_struct_0(C!2)) & m2_relset_1(E!4, u1_struct_0(B!1), u1_struct_0(C!2)))))))) <=> ((~v3_struct_0(C!2)) & l1_orders_2(C!2) & v1_funct_1(D!3) & v1_funct_2(D!3, u1_struct_0(A!0), u1_struct_0(B!1)) & m2_relset_1(D!3, u1_struct_0(A!0), u1_struct_0(B!1)) & (~(v4_waybel34(k7_funct_2(u1_struct_0(A!0), u1_struct_0(B!1), u1_struct_0(C!2), D!3, E!4), A!0, C!2) | (~(v4_waybel34(D!3, A!0, B!1) & v4_waybel34(E!4, B!1, C!2))) | (~(v1_funct_1(E!4) & v1_funct_2(E!4, u1_struct_0(B!1), u1_struct_0(C!2)) & m2_relset_1(E!4, u1_struct_0(B!1), u1_struct_0(C!2)))))))),
% 0.20/0.54 inference(transitivity,[status(thm)],[17, 12])).
% 0.20/0.54 tff(19,plain,
% 0.20/0.54 ((((~v3_struct_0(B!1)) & l1_orders_2(B!1)) & (((~v3_struct_0(C!2)) & l1_orders_2(C!2)) & ((v1_funct_1(D!3) & v1_funct_2(D!3, u1_struct_0(A!0), u1_struct_0(B!1)) & m2_relset_1(D!3, u1_struct_0(A!0), u1_struct_0(B!1))) & (~(v4_waybel34(k7_funct_2(u1_struct_0(A!0), u1_struct_0(B!1), u1_struct_0(C!2), D!3, E!4), A!0, C!2) | (~(v4_waybel34(D!3, A!0, B!1) & v4_waybel34(E!4, B!1, C!2))) | (~(v1_funct_1(E!4) & v1_funct_2(E!4, u1_struct_0(B!1), u1_struct_0(C!2)) & m2_relset_1(E!4, u1_struct_0(B!1), u1_struct_0(C!2))))))))) <=> (((~v3_struct_0(B!1)) & l1_orders_2(B!1)) & ((~v3_struct_0(C!2)) & l1_orders_2(C!2) & v1_funct_1(D!3) & v1_funct_2(D!3, u1_struct_0(A!0), u1_struct_0(B!1)) & m2_relset_1(D!3, u1_struct_0(A!0), u1_struct_0(B!1)) & (~(v4_waybel34(k7_funct_2(u1_struct_0(A!0), u1_struct_0(B!1), u1_struct_0(C!2), D!3, E!4), A!0, C!2) | (~(v4_waybel34(D!3, A!0, B!1) & v4_waybel34(E!4, B!1, C!2))) | (~(v1_funct_1(E!4) & v1_funct_2(E!4, u1_struct_0(B!1), u1_struct_0(C!2)) & m2_relset_1(E!4, u1_struct_0(B!1), u1_struct_0(C!2))))))))),
% 0.20/0.55 inference(monotonicity,[status(thm)],[18])).
% 0.20/0.55 tff(20,plain,
% 0.20/0.55 ((((~v3_struct_0(B!1)) & l1_orders_2(B!1)) & (((~v3_struct_0(C!2)) & l1_orders_2(C!2)) & ((v1_funct_1(D!3) & v1_funct_2(D!3, u1_struct_0(A!0), u1_struct_0(B!1)) & m2_relset_1(D!3, u1_struct_0(A!0), u1_struct_0(B!1))) & (~(v4_waybel34(k7_funct_2(u1_struct_0(A!0), u1_struct_0(B!1), u1_struct_0(C!2), D!3, E!4), A!0, C!2) | (~(v4_waybel34(D!3, A!0, B!1) & v4_waybel34(E!4, B!1, C!2))) | (~(v1_funct_1(E!4) & v1_funct_2(E!4, u1_struct_0(B!1), u1_struct_0(C!2)) & m2_relset_1(E!4, u1_struct_0(B!1), u1_struct_0(C!2))))))))) <=> ((~v3_struct_0(B!1)) & l1_orders_2(B!1) & (~v3_struct_0(C!2)) & l1_orders_2(C!2) & v1_funct_1(D!3) & v1_funct_2(D!3, u1_struct_0(A!0), u1_struct_0(B!1)) & m2_relset_1(D!3, u1_struct_0(A!0), u1_struct_0(B!1)) & (~(v4_waybel34(k7_funct_2(u1_struct_0(A!0), u1_struct_0(B!1), u1_struct_0(C!2), D!3, E!4), A!0, C!2) | (~(v4_waybel34(D!3, A!0, B!1) & v4_waybel34(E!4, B!1, C!2))) | (~(v1_funct_1(E!4) & v1_funct_2(E!4, u1_struct_0(B!1), u1_struct_0(C!2)) & m2_relset_1(E!4, u1_struct_0(B!1), u1_struct_0(C!2)))))))),
% 0.20/0.55 inference(transitivity,[status(thm)],[19, 11])).
% 0.20/0.55 tff(21,plain,
% 0.20/0.55 ((((~v3_struct_0(A!0)) & l1_orders_2(A!0)) & (((~v3_struct_0(B!1)) & l1_orders_2(B!1)) & (((~v3_struct_0(C!2)) & l1_orders_2(C!2)) & ((v1_funct_1(D!3) & v1_funct_2(D!3, u1_struct_0(A!0), u1_struct_0(B!1)) & m2_relset_1(D!3, u1_struct_0(A!0), u1_struct_0(B!1))) & (~(v4_waybel34(k7_funct_2(u1_struct_0(A!0), u1_struct_0(B!1), u1_struct_0(C!2), D!3, E!4), A!0, C!2) | (~(v4_waybel34(D!3, A!0, B!1) & v4_waybel34(E!4, B!1, C!2))) | (~(v1_funct_1(E!4) & v1_funct_2(E!4, u1_struct_0(B!1), u1_struct_0(C!2)) & m2_relset_1(E!4, u1_struct_0(B!1), u1_struct_0(C!2)))))))))) <=> (((~v3_struct_0(A!0)) & l1_orders_2(A!0)) & ((~v3_struct_0(B!1)) & l1_orders_2(B!1) & (~v3_struct_0(C!2)) & l1_orders_2(C!2) & v1_funct_1(D!3) & v1_funct_2(D!3, u1_struct_0(A!0), u1_struct_0(B!1)) & m2_relset_1(D!3, u1_struct_0(A!0), u1_struct_0(B!1)) & (~(v4_waybel34(k7_funct_2(u1_struct_0(A!0), u1_struct_0(B!1), u1_struct_0(C!2), D!3, E!4), A!0, C!2) | (~(v4_waybel34(D!3, A!0, B!1) & v4_waybel34(E!4, B!1, C!2))) | (~(v1_funct_1(E!4) & v1_funct_2(E!4, u1_struct_0(B!1), u1_struct_0(C!2)) & m2_relset_1(E!4, u1_struct_0(B!1), u1_struct_0(C!2))))))))),
% 0.20/0.55 inference(monotonicity,[status(thm)],[20])).
% 0.20/0.55 tff(22,plain,
% 0.20/0.55 ((((~v3_struct_0(A!0)) & l1_orders_2(A!0)) & (((~v3_struct_0(B!1)) & l1_orders_2(B!1)) & (((~v3_struct_0(C!2)) & l1_orders_2(C!2)) & ((v1_funct_1(D!3) & v1_funct_2(D!3, u1_struct_0(A!0), u1_struct_0(B!1)) & m2_relset_1(D!3, u1_struct_0(A!0), u1_struct_0(B!1))) & (~(v4_waybel34(k7_funct_2(u1_struct_0(A!0), u1_struct_0(B!1), u1_struct_0(C!2), D!3, E!4), A!0, C!2) | (~(v4_waybel34(D!3, A!0, B!1) & v4_waybel34(E!4, B!1, C!2))) | (~(v1_funct_1(E!4) & v1_funct_2(E!4, u1_struct_0(B!1), u1_struct_0(C!2)) & m2_relset_1(E!4, u1_struct_0(B!1), u1_struct_0(C!2)))))))))) <=> ((~v3_struct_0(A!0)) & l1_orders_2(A!0) & (~v3_struct_0(B!1)) & l1_orders_2(B!1) & (~v3_struct_0(C!2)) & l1_orders_2(C!2) & v1_funct_1(D!3) & v1_funct_2(D!3, u1_struct_0(A!0), u1_struct_0(B!1)) & m2_relset_1(D!3, u1_struct_0(A!0), u1_struct_0(B!1)) & (~(v4_waybel34(k7_funct_2(u1_struct_0(A!0), u1_struct_0(B!1), u1_struct_0(C!2), D!3, E!4), A!0, C!2) | (~(v4_waybel34(D!3, A!0, B!1) & v4_waybel34(E!4, B!1, C!2))) | (~(v1_funct_1(E!4) & v1_funct_2(E!4, u1_struct_0(B!1), u1_struct_0(C!2)) & m2_relset_1(E!4, u1_struct_0(B!1), u1_struct_0(C!2)))))))),
% 0.39/0.55 inference(transitivity,[status(thm)],[21, 10])).
% 0.39/0.55 tff(23,plain,
% 0.39/0.55 ((~![A: $i] : ((~((~v3_struct_0(A)) & l1_orders_2(A))) | ![B: $i] : ((~((~v3_struct_0(B)) & l1_orders_2(B))) | ![C: $i] : ((~((~v3_struct_0(C)) & l1_orders_2(C))) | ![D: $i] : ((~(v1_funct_1(D) & v1_funct_2(D, u1_struct_0(A), u1_struct_0(B)) & m2_relset_1(D, u1_struct_0(A), u1_struct_0(B)))) | ![E: $i] : (v4_waybel34(k7_funct_2(u1_struct_0(A), u1_struct_0(B), u1_struct_0(C), D, E), A, C) | (~(v4_waybel34(D, A, B) & v4_waybel34(E, B, C))) | (~(v1_funct_1(E) & v1_funct_2(E, u1_struct_0(B), u1_struct_0(C)) & m2_relset_1(E, u1_struct_0(B), u1_struct_0(C)))))))))) <=> (~![A: $i] : ((~((~v3_struct_0(A)) & l1_orders_2(A))) | ![B: $i] : ((~((~v3_struct_0(B)) & l1_orders_2(B))) | ![C: $i] : ((~((~v3_struct_0(C)) & l1_orders_2(C))) | ![D: $i] : ((~(v1_funct_1(D) & v1_funct_2(D, u1_struct_0(A), u1_struct_0(B)) & m2_relset_1(D, u1_struct_0(A), u1_struct_0(B)))) | ![E: $i] : (v4_waybel34(k7_funct_2(u1_struct_0(A), u1_struct_0(B), u1_struct_0(C), D, E), A, C) | (~(v4_waybel34(D, A, B) & v4_waybel34(E, B, C))) | (~(v1_funct_1(E) & v1_funct_2(E, u1_struct_0(B), u1_struct_0(C)) & m2_relset_1(E, u1_struct_0(B), u1_struct_0(C))))))))))),
% 0.39/0.55 inference(rewrite,[status(thm)],[])).
% 0.39/0.55 tff(24,plain,
% 0.39/0.55 ((~![A: $i] : (((~v3_struct_0(A)) & l1_orders_2(A)) => ![B: $i] : (((~v3_struct_0(B)) & l1_orders_2(B)) => ![C: $i] : (((~v3_struct_0(C)) & l1_orders_2(C)) => ![D: $i] : (((v1_funct_1(D) & v1_funct_2(D, u1_struct_0(A), u1_struct_0(B))) & m2_relset_1(D, u1_struct_0(A), u1_struct_0(B))) => ![E: $i] : (((v1_funct_1(E) & v1_funct_2(E, u1_struct_0(B), u1_struct_0(C))) & m2_relset_1(E, u1_struct_0(B), u1_struct_0(C))) => ((v4_waybel34(D, A, B) & v4_waybel34(E, B, C)) => v4_waybel34(k7_funct_2(u1_struct_0(A), u1_struct_0(B), u1_struct_0(C), D, E), A, C)))))))) <=> (~![A: $i] : ((~((~v3_struct_0(A)) & l1_orders_2(A))) | ![B: $i] : ((~((~v3_struct_0(B)) & l1_orders_2(B))) | ![C: $i] : ((~((~v3_struct_0(C)) & l1_orders_2(C))) | ![D: $i] : ((~(v1_funct_1(D) & v1_funct_2(D, u1_struct_0(A), u1_struct_0(B)) & m2_relset_1(D, u1_struct_0(A), u1_struct_0(B)))) | ![E: $i] : (v4_waybel34(k7_funct_2(u1_struct_0(A), u1_struct_0(B), u1_struct_0(C), D, E), A, C) | (~(v4_waybel34(D, A, B) & v4_waybel34(E, B, C))) | (~(v1_funct_1(E) & v1_funct_2(E, u1_struct_0(B), u1_struct_0(C)) & m2_relset_1(E, u1_struct_0(B), u1_struct_0(C))))))))))),
% 0.39/0.55 inference(rewrite,[status(thm)],[])).
% 0.39/0.55 tff(25,axiom,(~![A: $i] : (((~v3_struct_0(A)) & l1_orders_2(A)) => ![B: $i] : (((~v3_struct_0(B)) & l1_orders_2(B)) => ![C: $i] : (((~v3_struct_0(C)) & l1_orders_2(C)) => ![D: $i] : (((v1_funct_1(D) & v1_funct_2(D, u1_struct_0(A), u1_struct_0(B))) & m2_relset_1(D, u1_struct_0(A), u1_struct_0(B))) => ![E: $i] : (((v1_funct_1(E) & v1_funct_2(E, u1_struct_0(B), u1_struct_0(C))) & m2_relset_1(E, u1_struct_0(B), u1_struct_0(C))) => ((v4_waybel34(D, A, B) & v4_waybel34(E, B, C)) => v4_waybel34(k7_funct_2(u1_struct_0(A), u1_struct_0(B), u1_struct_0(C), D, E), A, C)))))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','t63_waybel34')).
% 0.39/0.55 tff(26,plain,
% 0.39/0.55 (~![A: $i] : ((~((~v3_struct_0(A)) & l1_orders_2(A))) | ![B: $i] : ((~((~v3_struct_0(B)) & l1_orders_2(B))) | ![C: $i] : ((~((~v3_struct_0(C)) & l1_orders_2(C))) | ![D: $i] : ((~(v1_funct_1(D) & v1_funct_2(D, u1_struct_0(A), u1_struct_0(B)) & m2_relset_1(D, u1_struct_0(A), u1_struct_0(B)))) | ![E: $i] : (v4_waybel34(k7_funct_2(u1_struct_0(A), u1_struct_0(B), u1_struct_0(C), D, E), A, C) | (~(v4_waybel34(D, A, B) & v4_waybel34(E, B, C))) | (~(v1_funct_1(E) & v1_funct_2(E, u1_struct_0(B), u1_struct_0(C)) & m2_relset_1(E, u1_struct_0(B), u1_struct_0(C)))))))))),
% 0.39/0.55 inference(modus_ponens,[status(thm)],[25, 24])).
% 0.39/0.55 tff(27,plain,
% 0.39/0.55 (~![A: $i] : ((~((~v3_struct_0(A)) & l1_orders_2(A))) | ![B: $i] : ((~((~v3_struct_0(B)) & l1_orders_2(B))) | ![C: $i] : ((~((~v3_struct_0(C)) & l1_orders_2(C))) | ![D: $i] : ((~(v1_funct_1(D) & v1_funct_2(D, u1_struct_0(A), u1_struct_0(B)) & m2_relset_1(D, u1_struct_0(A), u1_struct_0(B)))) | ![E: $i] : (v4_waybel34(k7_funct_2(u1_struct_0(A), u1_struct_0(B), u1_struct_0(C), D, E), A, C) | (~(v4_waybel34(D, A, B) & v4_waybel34(E, B, C))) | (~(v1_funct_1(E) & v1_funct_2(E, u1_struct_0(B), u1_struct_0(C)) & m2_relset_1(E, u1_struct_0(B), u1_struct_0(C)))))))))),
% 0.39/0.55 inference(modus_ponens,[status(thm)],[26, 23])).
% 0.39/0.55 tff(28,plain,
% 0.39/0.55 (~![A: $i] : ((~((~v3_struct_0(A)) & l1_orders_2(A))) | ![B: $i] : ((~((~v3_struct_0(B)) & l1_orders_2(B))) | ![C: $i] : ((~((~v3_struct_0(C)) & l1_orders_2(C))) | ![D: $i] : ((~(v1_funct_1(D) & v1_funct_2(D, u1_struct_0(A), u1_struct_0(B)) & m2_relset_1(D, u1_struct_0(A), u1_struct_0(B)))) | ![E: $i] : (v4_waybel34(k7_funct_2(u1_struct_0(A), u1_struct_0(B), u1_struct_0(C), D, E), A, C) | (~(v4_waybel34(D, A, B) & v4_waybel34(E, B, C))) | (~(v1_funct_1(E) & v1_funct_2(E, u1_struct_0(B), u1_struct_0(C)) & m2_relset_1(E, u1_struct_0(B), u1_struct_0(C)))))))))),
% 0.39/0.55 inference(modus_ponens,[status(thm)],[27, 23])).
% 0.39/0.55 tff(29,plain,
% 0.39/0.55 (~![A: $i] : ((~((~v3_struct_0(A)) & l1_orders_2(A))) | ![B: $i] : ((~((~v3_struct_0(B)) & l1_orders_2(B))) | ![C: $i] : ((~((~v3_struct_0(C)) & l1_orders_2(C))) | ![D: $i] : ((~(v1_funct_1(D) & v1_funct_2(D, u1_struct_0(A), u1_struct_0(B)) & m2_relset_1(D, u1_struct_0(A), u1_struct_0(B)))) | ![E: $i] : (v4_waybel34(k7_funct_2(u1_struct_0(A), u1_struct_0(B), u1_struct_0(C), D, E), A, C) | (~(v4_waybel34(D, A, B) & v4_waybel34(E, B, C))) | (~(v1_funct_1(E) & v1_funct_2(E, u1_struct_0(B), u1_struct_0(C)) & m2_relset_1(E, u1_struct_0(B), u1_struct_0(C)))))))))),
% 0.39/0.55 inference(modus_ponens,[status(thm)],[28, 23])).
% 0.39/0.55 tff(30,plain,
% 0.39/0.55 ((~v3_struct_0(A!0)) & l1_orders_2(A!0) & (~v3_struct_0(B!1)) & l1_orders_2(B!1) & (~v3_struct_0(C!2)) & l1_orders_2(C!2) & v1_funct_1(D!3) & v1_funct_2(D!3, u1_struct_0(A!0), u1_struct_0(B!1)) & m2_relset_1(D!3, u1_struct_0(A!0), u1_struct_0(B!1)) & (~(v4_waybel34(k7_funct_2(u1_struct_0(A!0), u1_struct_0(B!1), u1_struct_0(C!2), D!3, E!4), A!0, C!2) | (~(v4_waybel34(D!3, A!0, B!1) & v4_waybel34(E!4, B!1, C!2))) | (~(v1_funct_1(E!4) & v1_funct_2(E!4, u1_struct_0(B!1), u1_struct_0(C!2)) & m2_relset_1(E!4, u1_struct_0(B!1), u1_struct_0(C!2))))))),
% 0.39/0.55 inference(modus_ponens,[status(thm)],[29, 22])).
% 0.39/0.55 tff(31,plain,
% 0.39/0.55 (m2_relset_1(D!3, u1_struct_0(A!0), u1_struct_0(B!1))),
% 0.39/0.55 inference(and_elim,[status(thm)],[30])).
% 0.39/0.55 tff(32,plain,
% 0.39/0.55 ((~(m2_relset_1(D!3, u1_struct_0(A!0), u1_struct_0(B!1)) <=> m1_relset_1(D!3, u1_struct_0(A!0), u1_struct_0(B!1)))) | (~m2_relset_1(D!3, u1_struct_0(A!0), u1_struct_0(B!1))) | m1_relset_1(D!3, u1_struct_0(A!0), u1_struct_0(B!1))),
% 0.39/0.55 inference(tautology,[status(thm)],[])).
% 0.39/0.55 tff(33,plain,
% 0.39/0.55 ((~(m2_relset_1(D!3, u1_struct_0(A!0), u1_struct_0(B!1)) <=> m1_relset_1(D!3, u1_struct_0(A!0), u1_struct_0(B!1)))) | m1_relset_1(D!3, u1_struct_0(A!0), u1_struct_0(B!1))),
% 0.39/0.55 inference(unit_resolution,[status(thm)],[32, 31])).
% 0.39/0.55 tff(34,plain,
% 0.39/0.55 (m1_relset_1(D!3, u1_struct_0(A!0), u1_struct_0(B!1))),
% 0.39/0.55 inference(unit_resolution,[status(thm)],[33, 9])).
% 0.39/0.55 tff(35,plain,
% 0.39/0.55 (^[A: $i] : refl((l1_struct_0(A) | (~l1_orders_2(A))) <=> (l1_struct_0(A) | (~l1_orders_2(A))))),
% 0.39/0.55 inference(bind,[status(th)],[])).
% 0.39/0.55 tff(36,plain,
% 0.39/0.55 (![A: $i] : (l1_struct_0(A) | (~l1_orders_2(A))) <=> ![A: $i] : (l1_struct_0(A) | (~l1_orders_2(A)))),
% 0.39/0.55 inference(quant_intro,[status(thm)],[35])).
% 0.39/0.55 tff(37,plain,
% 0.39/0.55 (![A: $i] : (l1_struct_0(A) | (~l1_orders_2(A))) <=> ![A: $i] : (l1_struct_0(A) | (~l1_orders_2(A)))),
% 0.39/0.55 inference(rewrite,[status(thm)],[])).
% 0.39/0.55 tff(38,plain,
% 0.39/0.55 (^[A: $i] : rewrite((l1_orders_2(A) => l1_struct_0(A)) <=> (l1_struct_0(A) | (~l1_orders_2(A))))),
% 0.39/0.55 inference(bind,[status(th)],[])).
% 0.39/0.55 tff(39,plain,
% 0.39/0.55 (![A: $i] : (l1_orders_2(A) => l1_struct_0(A)) <=> ![A: $i] : (l1_struct_0(A) | (~l1_orders_2(A)))),
% 0.39/0.55 inference(quant_intro,[status(thm)],[38])).
% 0.39/0.55 tff(40,axiom,(![A: $i] : (l1_orders_2(A) => l1_struct_0(A))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','dt_l1_orders_2')).
% 0.39/0.55 tff(41,plain,
% 0.39/0.55 (![A: $i] : (l1_struct_0(A) | (~l1_orders_2(A)))),
% 0.39/0.55 inference(modus_ponens,[status(thm)],[40, 39])).
% 0.39/0.55 tff(42,plain,
% 0.39/0.55 (![A: $i] : (l1_struct_0(A) | (~l1_orders_2(A)))),
% 0.39/0.55 inference(modus_ponens,[status(thm)],[41, 37])).
% 0.39/0.55 tff(43,plain,(
% 0.39/0.55 ![A: $i] : (l1_struct_0(A) | (~l1_orders_2(A)))),
% 0.39/0.55 inference(skolemize,[status(sab)],[42])).
% 0.39/0.55 tff(44,plain,
% 0.39/0.55 (![A: $i] : (l1_struct_0(A) | (~l1_orders_2(A)))),
% 0.39/0.55 inference(modus_ponens,[status(thm)],[43, 36])).
% 0.39/0.55 tff(45,plain,
% 0.39/0.55 (l1_orders_2(B!1)),
% 0.39/0.55 inference(and_elim,[status(thm)],[30])).
% 0.39/0.55 tff(46,plain,
% 0.39/0.55 (((~![A: $i] : (l1_struct_0(A) | (~l1_orders_2(A)))) | (l1_struct_0(B!1) | (~l1_orders_2(B!1)))) <=> ((~![A: $i] : (l1_struct_0(A) | (~l1_orders_2(A)))) | l1_struct_0(B!1) | (~l1_orders_2(B!1)))),
% 0.39/0.55 inference(rewrite,[status(thm)],[])).
% 0.39/0.55 tff(47,plain,
% 0.39/0.55 ((~![A: $i] : (l1_struct_0(A) | (~l1_orders_2(A)))) | (l1_struct_0(B!1) | (~l1_orders_2(B!1)))),
% 0.39/0.55 inference(quant_inst,[status(thm)],[])).
% 0.39/0.55 tff(48,plain,
% 0.39/0.55 ((~![A: $i] : (l1_struct_0(A) | (~l1_orders_2(A)))) | l1_struct_0(B!1) | (~l1_orders_2(B!1))),
% 0.39/0.55 inference(modus_ponens,[status(thm)],[47, 46])).
% 0.39/0.55 tff(49,plain,
% 0.39/0.55 (l1_struct_0(B!1)),
% 0.39/0.55 inference(unit_resolution,[status(thm)],[48, 45, 44])).
% 0.39/0.55 tff(50,plain,
% 0.39/0.55 (l1_orders_2(A!0)),
% 0.39/0.55 inference(and_elim,[status(thm)],[30])).
% 0.39/0.55 tff(51,plain,
% 0.39/0.55 (((~![A: $i] : (l1_struct_0(A) | (~l1_orders_2(A)))) | (l1_struct_0(A!0) | (~l1_orders_2(A!0)))) <=> ((~![A: $i] : (l1_struct_0(A) | (~l1_orders_2(A)))) | l1_struct_0(A!0) | (~l1_orders_2(A!0)))),
% 0.39/0.55 inference(rewrite,[status(thm)],[])).
% 0.39/0.55 tff(52,plain,
% 0.39/0.55 ((~![A: $i] : (l1_struct_0(A) | (~l1_orders_2(A)))) | (l1_struct_0(A!0) | (~l1_orders_2(A!0)))),
% 0.39/0.55 inference(quant_inst,[status(thm)],[])).
% 0.39/0.55 tff(53,plain,
% 0.39/0.55 ((~![A: $i] : (l1_struct_0(A) | (~l1_orders_2(A)))) | l1_struct_0(A!0) | (~l1_orders_2(A!0))),
% 0.39/0.55 inference(modus_ponens,[status(thm)],[52, 51])).
% 0.39/0.55 tff(54,plain,
% 0.39/0.55 (l1_struct_0(A!0)),
% 0.39/0.55 inference(unit_resolution,[status(thm)],[53, 50, 44])).
% 0.39/0.55 tff(55,plain,
% 0.39/0.55 (^[A: $i, B: $i, C: $i, D: $i] : refl(((k4_pre_topc(A, B, C, D) = k9_relat_1(C, D)) | (~l1_struct_0(A)) | (~l1_struct_0(B)) | (~v1_funct_1(C)) | (~v1_funct_2(C, u1_struct_0(A), u1_struct_0(B))) | (~m1_relset_1(C, u1_struct_0(A), u1_struct_0(B)))) <=> ((k4_pre_topc(A, B, C, D) = k9_relat_1(C, D)) | (~l1_struct_0(A)) | (~l1_struct_0(B)) | (~v1_funct_1(C)) | (~v1_funct_2(C, u1_struct_0(A), u1_struct_0(B))) | (~m1_relset_1(C, u1_struct_0(A), u1_struct_0(B)))))),
% 0.39/0.55 inference(bind,[status(th)],[])).
% 0.39/0.55 tff(56,plain,
% 0.39/0.55 (![A: $i, B: $i, C: $i, D: $i] : ((k4_pre_topc(A, B, C, D) = k9_relat_1(C, D)) | (~l1_struct_0(A)) | (~l1_struct_0(B)) | (~v1_funct_1(C)) | (~v1_funct_2(C, u1_struct_0(A), u1_struct_0(B))) | (~m1_relset_1(C, u1_struct_0(A), u1_struct_0(B)))) <=> ![A: $i, B: $i, C: $i, D: $i] : ((k4_pre_topc(A, B, C, D) = k9_relat_1(C, D)) | (~l1_struct_0(A)) | (~l1_struct_0(B)) | (~v1_funct_1(C)) | (~v1_funct_2(C, u1_struct_0(A), u1_struct_0(B))) | (~m1_relset_1(C, u1_struct_0(A), u1_struct_0(B))))),
% 0.39/0.55 inference(quant_intro,[status(thm)],[55])).
% 0.39/0.55 tff(57,plain,
% 0.39/0.55 (^[A: $i, B: $i, C: $i, D: $i] : trans(monotonicity(trans(monotonicity(rewrite((l1_struct_0(A) & l1_struct_0(B) & v1_funct_1(C) & v1_funct_2(C, u1_struct_0(A), u1_struct_0(B)) & m1_relset_1(C, u1_struct_0(A), u1_struct_0(B))) <=> (~((~l1_struct_0(A)) | (~l1_struct_0(B)) | (~v1_funct_1(C)) | (~v1_funct_2(C, u1_struct_0(A), u1_struct_0(B))) | (~m1_relset_1(C, u1_struct_0(A), u1_struct_0(B)))))), ((~(l1_struct_0(A) & l1_struct_0(B) & v1_funct_1(C) & v1_funct_2(C, u1_struct_0(A), u1_struct_0(B)) & m1_relset_1(C, u1_struct_0(A), u1_struct_0(B)))) <=> (~(~((~l1_struct_0(A)) | (~l1_struct_0(B)) | (~v1_funct_1(C)) | (~v1_funct_2(C, u1_struct_0(A), u1_struct_0(B))) | (~m1_relset_1(C, u1_struct_0(A), u1_struct_0(B)))))))), rewrite((~(~((~l1_struct_0(A)) | (~l1_struct_0(B)) | (~v1_funct_1(C)) | (~v1_funct_2(C, u1_struct_0(A), u1_struct_0(B))) | (~m1_relset_1(C, u1_struct_0(A), u1_struct_0(B)))))) <=> ((~l1_struct_0(A)) | (~l1_struct_0(B)) | (~v1_funct_1(C)) | (~v1_funct_2(C, u1_struct_0(A), u1_struct_0(B))) | (~m1_relset_1(C, u1_struct_0(A), u1_struct_0(B))))), ((~(l1_struct_0(A) & l1_struct_0(B) & v1_funct_1(C) & v1_funct_2(C, u1_struct_0(A), u1_struct_0(B)) & m1_relset_1(C, u1_struct_0(A), u1_struct_0(B)))) <=> ((~l1_struct_0(A)) | (~l1_struct_0(B)) | (~v1_funct_1(C)) | (~v1_funct_2(C, u1_struct_0(A), u1_struct_0(B))) | (~m1_relset_1(C, u1_struct_0(A), u1_struct_0(B)))))), (((~(l1_struct_0(A) & l1_struct_0(B) & v1_funct_1(C) & v1_funct_2(C, u1_struct_0(A), u1_struct_0(B)) & m1_relset_1(C, u1_struct_0(A), u1_struct_0(B)))) | (k4_pre_topc(A, B, C, D) = k9_relat_1(C, D))) <=> (((~l1_struct_0(A)) | (~l1_struct_0(B)) | (~v1_funct_1(C)) | (~v1_funct_2(C, u1_struct_0(A), u1_struct_0(B))) | (~m1_relset_1(C, u1_struct_0(A), u1_struct_0(B)))) | (k4_pre_topc(A, B, C, D) = k9_relat_1(C, D))))), rewrite((((~l1_struct_0(A)) | (~l1_struct_0(B)) | (~v1_funct_1(C)) | (~v1_funct_2(C, u1_struct_0(A), u1_struct_0(B))) | (~m1_relset_1(C, u1_struct_0(A), u1_struct_0(B)))) | (k4_pre_topc(A, B, C, D) = k9_relat_1(C, D))) <=> ((k4_pre_topc(A, B, C, D) = k9_relat_1(C, D)) | (~l1_struct_0(A)) | (~l1_struct_0(B)) | (~v1_funct_1(C)) | (~v1_funct_2(C, u1_struct_0(A), u1_struct_0(B))) | (~m1_relset_1(C, u1_struct_0(A), u1_struct_0(B))))), (((~(l1_struct_0(A) & l1_struct_0(B) & v1_funct_1(C) & v1_funct_2(C, u1_struct_0(A), u1_struct_0(B)) & m1_relset_1(C, u1_struct_0(A), u1_struct_0(B)))) | (k4_pre_topc(A, B, C, D) = k9_relat_1(C, D))) <=> ((k4_pre_topc(A, B, C, D) = k9_relat_1(C, D)) | (~l1_struct_0(A)) | (~l1_struct_0(B)) | (~v1_funct_1(C)) | (~v1_funct_2(C, u1_struct_0(A), u1_struct_0(B))) | (~m1_relset_1(C, u1_struct_0(A), u1_struct_0(B))))))),
% 0.39/0.56 inference(bind,[status(th)],[])).
% 0.39/0.56 tff(58,plain,
% 0.39/0.56 (![A: $i, B: $i, C: $i, D: $i] : ((~(l1_struct_0(A) & l1_struct_0(B) & v1_funct_1(C) & v1_funct_2(C, u1_struct_0(A), u1_struct_0(B)) & m1_relset_1(C, u1_struct_0(A), u1_struct_0(B)))) | (k4_pre_topc(A, B, C, D) = k9_relat_1(C, D))) <=> ![A: $i, B: $i, C: $i, D: $i] : ((k4_pre_topc(A, B, C, D) = k9_relat_1(C, D)) | (~l1_struct_0(A)) | (~l1_struct_0(B)) | (~v1_funct_1(C)) | (~v1_funct_2(C, u1_struct_0(A), u1_struct_0(B))) | (~m1_relset_1(C, u1_struct_0(A), u1_struct_0(B))))),
% 0.39/0.56 inference(quant_intro,[status(thm)],[57])).
% 0.39/0.56 tff(59,plain,
% 0.39/0.56 (![A: $i, B: $i, C: $i, D: $i] : ((~(l1_struct_0(A) & l1_struct_0(B) & v1_funct_1(C) & v1_funct_2(C, u1_struct_0(A), u1_struct_0(B)) & m1_relset_1(C, u1_struct_0(A), u1_struct_0(B)))) | (k4_pre_topc(A, B, C, D) = k9_relat_1(C, D))) <=> ![A: $i, B: $i, C: $i, D: $i] : ((~(l1_struct_0(A) & l1_struct_0(B) & v1_funct_1(C) & v1_funct_2(C, u1_struct_0(A), u1_struct_0(B)) & m1_relset_1(C, u1_struct_0(A), u1_struct_0(B)))) | (k4_pre_topc(A, B, C, D) = k9_relat_1(C, D)))),
% 0.39/0.56 inference(rewrite,[status(thm)],[])).
% 0.39/0.56 tff(60,plain,
% 0.39/0.56 (^[A: $i, B: $i, C: $i, D: $i] : trans(monotonicity(trans(monotonicity(trans(monotonicity(rewrite(((l1_struct_0(A) & l1_struct_0(B)) & v1_funct_1(C)) <=> (l1_struct_0(A) & l1_struct_0(B) & v1_funct_1(C))), ((((l1_struct_0(A) & l1_struct_0(B)) & v1_funct_1(C)) & v1_funct_2(C, u1_struct_0(A), u1_struct_0(B))) <=> ((l1_struct_0(A) & l1_struct_0(B) & v1_funct_1(C)) & v1_funct_2(C, u1_struct_0(A), u1_struct_0(B))))), rewrite(((l1_struct_0(A) & l1_struct_0(B) & v1_funct_1(C)) & v1_funct_2(C, u1_struct_0(A), u1_struct_0(B))) <=> (l1_struct_0(A) & l1_struct_0(B) & v1_funct_1(C) & v1_funct_2(C, u1_struct_0(A), u1_struct_0(B)))), ((((l1_struct_0(A) & l1_struct_0(B)) & v1_funct_1(C)) & v1_funct_2(C, u1_struct_0(A), u1_struct_0(B))) <=> (l1_struct_0(A) & l1_struct_0(B) & v1_funct_1(C) & v1_funct_2(C, u1_struct_0(A), u1_struct_0(B))))), (((((l1_struct_0(A) & l1_struct_0(B)) & v1_funct_1(C)) & v1_funct_2(C, u1_struct_0(A), u1_struct_0(B))) & m1_relset_1(C, u1_struct_0(A), u1_struct_0(B))) <=> ((l1_struct_0(A) & l1_struct_0(B) & v1_funct_1(C) & v1_funct_2(C, u1_struct_0(A), u1_struct_0(B))) & m1_relset_1(C, u1_struct_0(A), u1_struct_0(B))))), rewrite(((l1_struct_0(A) & l1_struct_0(B) & v1_funct_1(C) & v1_funct_2(C, u1_struct_0(A), u1_struct_0(B))) & m1_relset_1(C, u1_struct_0(A), u1_struct_0(B))) <=> (l1_struct_0(A) & l1_struct_0(B) & v1_funct_1(C) & v1_funct_2(C, u1_struct_0(A), u1_struct_0(B)) & m1_relset_1(C, u1_struct_0(A), u1_struct_0(B)))), (((((l1_struct_0(A) & l1_struct_0(B)) & v1_funct_1(C)) & v1_funct_2(C, u1_struct_0(A), u1_struct_0(B))) & m1_relset_1(C, u1_struct_0(A), u1_struct_0(B))) <=> (l1_struct_0(A) & l1_struct_0(B) & v1_funct_1(C) & v1_funct_2(C, u1_struct_0(A), u1_struct_0(B)) & m1_relset_1(C, u1_struct_0(A), u1_struct_0(B))))), ((((((l1_struct_0(A) & l1_struct_0(B)) & v1_funct_1(C)) & v1_funct_2(C, u1_struct_0(A), u1_struct_0(B))) & m1_relset_1(C, u1_struct_0(A), u1_struct_0(B))) => (k4_pre_topc(A, B, C, D) = k9_relat_1(C, D))) <=> ((l1_struct_0(A) & l1_struct_0(B) & v1_funct_1(C) & v1_funct_2(C, u1_struct_0(A), u1_struct_0(B)) & m1_relset_1(C, u1_struct_0(A), u1_struct_0(B))) => (k4_pre_topc(A, B, C, D) = k9_relat_1(C, D))))), rewrite(((l1_struct_0(A) & l1_struct_0(B) & v1_funct_1(C) & v1_funct_2(C, u1_struct_0(A), u1_struct_0(B)) & m1_relset_1(C, u1_struct_0(A), u1_struct_0(B))) => (k4_pre_topc(A, B, C, D) = k9_relat_1(C, D))) <=> ((~(l1_struct_0(A) & l1_struct_0(B) & v1_funct_1(C) & v1_funct_2(C, u1_struct_0(A), u1_struct_0(B)) & m1_relset_1(C, u1_struct_0(A), u1_struct_0(B)))) | (k4_pre_topc(A, B, C, D) = k9_relat_1(C, D)))), ((((((l1_struct_0(A) & l1_struct_0(B)) & v1_funct_1(C)) & v1_funct_2(C, u1_struct_0(A), u1_struct_0(B))) & m1_relset_1(C, u1_struct_0(A), u1_struct_0(B))) => (k4_pre_topc(A, B, C, D) = k9_relat_1(C, D))) <=> ((~(l1_struct_0(A) & l1_struct_0(B) & v1_funct_1(C) & v1_funct_2(C, u1_struct_0(A), u1_struct_0(B)) & m1_relset_1(C, u1_struct_0(A), u1_struct_0(B)))) | (k4_pre_topc(A, B, C, D) = k9_relat_1(C, D)))))),
% 0.39/0.56 inference(bind,[status(th)],[])).
% 0.39/0.56 tff(61,plain,
% 0.39/0.56 (![A: $i, B: $i, C: $i, D: $i] : (((((l1_struct_0(A) & l1_struct_0(B)) & v1_funct_1(C)) & v1_funct_2(C, u1_struct_0(A), u1_struct_0(B))) & m1_relset_1(C, u1_struct_0(A), u1_struct_0(B))) => (k4_pre_topc(A, B, C, D) = k9_relat_1(C, D))) <=> ![A: $i, B: $i, C: $i, D: $i] : ((~(l1_struct_0(A) & l1_struct_0(B) & v1_funct_1(C) & v1_funct_2(C, u1_struct_0(A), u1_struct_0(B)) & m1_relset_1(C, u1_struct_0(A), u1_struct_0(B)))) | (k4_pre_topc(A, B, C, D) = k9_relat_1(C, D)))),
% 0.39/0.56 inference(quant_intro,[status(thm)],[60])).
% 0.39/0.56 tff(62,axiom,(![A: $i, B: $i, C: $i, D: $i] : (((((l1_struct_0(A) & l1_struct_0(B)) & v1_funct_1(C)) & v1_funct_2(C, u1_struct_0(A), u1_struct_0(B))) & m1_relset_1(C, u1_struct_0(A), u1_struct_0(B))) => (k4_pre_topc(A, B, C, D) = k9_relat_1(C, D)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','redefinition_k4_pre_topc')).
% 0.39/0.56 tff(63,plain,
% 0.39/0.56 (![A: $i, B: $i, C: $i, D: $i] : ((~(l1_struct_0(A) & l1_struct_0(B) & v1_funct_1(C) & v1_funct_2(C, u1_struct_0(A), u1_struct_0(B)) & m1_relset_1(C, u1_struct_0(A), u1_struct_0(B)))) | (k4_pre_topc(A, B, C, D) = k9_relat_1(C, D)))),
% 0.39/0.56 inference(modus_ponens,[status(thm)],[62, 61])).
% 0.39/0.56 tff(64,plain,
% 0.39/0.56 (![A: $i, B: $i, C: $i, D: $i] : ((~(l1_struct_0(A) & l1_struct_0(B) & v1_funct_1(C) & v1_funct_2(C, u1_struct_0(A), u1_struct_0(B)) & m1_relset_1(C, u1_struct_0(A), u1_struct_0(B)))) | (k4_pre_topc(A, B, C, D) = k9_relat_1(C, D)))),
% 0.39/0.56 inference(modus_ponens,[status(thm)],[63, 59])).
% 0.39/0.56 tff(65,plain,(
% 0.39/0.56 ![A: $i, B: $i, C: $i, D: $i] : ((~(l1_struct_0(A) & l1_struct_0(B) & v1_funct_1(C) & v1_funct_2(C, u1_struct_0(A), u1_struct_0(B)) & m1_relset_1(C, u1_struct_0(A), u1_struct_0(B)))) | (k4_pre_topc(A, B, C, D) = k9_relat_1(C, D)))),
% 0.39/0.56 inference(skolemize,[status(sab)],[64])).
% 0.39/0.56 tff(66,plain,
% 0.39/0.56 (![A: $i, B: $i, C: $i, D: $i] : ((k4_pre_topc(A, B, C, D) = k9_relat_1(C, D)) | (~l1_struct_0(A)) | (~l1_struct_0(B)) | (~v1_funct_1(C)) | (~v1_funct_2(C, u1_struct_0(A), u1_struct_0(B))) | (~m1_relset_1(C, u1_struct_0(A), u1_struct_0(B))))),
% 0.39/0.56 inference(modus_ponens,[status(thm)],[65, 58])).
% 0.39/0.56 tff(67,plain,
% 0.39/0.56 (![A: $i, B: $i, C: $i, D: $i] : ((k4_pre_topc(A, B, C, D) = k9_relat_1(C, D)) | (~l1_struct_0(A)) | (~l1_struct_0(B)) | (~v1_funct_1(C)) | (~v1_funct_2(C, u1_struct_0(A), u1_struct_0(B))) | (~m1_relset_1(C, u1_struct_0(A), u1_struct_0(B))))),
% 0.39/0.56 inference(modus_ponens,[status(thm)],[66, 56])).
% 0.39/0.56 tff(68,plain,
% 0.39/0.56 (v1_funct_2(D!3, u1_struct_0(A!0), u1_struct_0(B!1))),
% 0.39/0.56 inference(and_elim,[status(thm)],[30])).
% 0.39/0.56 tff(69,plain,
% 0.39/0.56 (v1_funct_1(D!3)),
% 0.39/0.56 inference(and_elim,[status(thm)],[30])).
% 0.39/0.56 tff(70,plain,
% 0.39/0.56 (((~![A: $i, B: $i, C: $i, D: $i] : ((k4_pre_topc(A, B, C, D) = k9_relat_1(C, D)) | (~l1_struct_0(A)) | (~l1_struct_0(B)) | (~v1_funct_1(C)) | (~v1_funct_2(C, u1_struct_0(A), u1_struct_0(B))) | (~m1_relset_1(C, u1_struct_0(A), u1_struct_0(B))))) | ((~v1_funct_1(D!3)) | (~l1_struct_0(A!0)) | (~l1_struct_0(B!1)) | (~v1_funct_2(D!3, u1_struct_0(A!0), u1_struct_0(B!1))) | (~m1_relset_1(D!3, u1_struct_0(A!0), u1_struct_0(B!1))) | (k4_pre_topc(A!0, B!1, D!3, tptp_fun_D_5(k5_relat_1(D!3, E!4), C!2, A!0)) = k9_relat_1(D!3, tptp_fun_D_5(k5_relat_1(D!3, E!4), C!2, A!0))))) <=> ((~![A: $i, B: $i, C: $i, D: $i] : ((k4_pre_topc(A, B, C, D) = k9_relat_1(C, D)) | (~l1_struct_0(A)) | (~l1_struct_0(B)) | (~v1_funct_1(C)) | (~v1_funct_2(C, u1_struct_0(A), u1_struct_0(B))) | (~m1_relset_1(C, u1_struct_0(A), u1_struct_0(B))))) | (~v1_funct_1(D!3)) | (~l1_struct_0(A!0)) | (~l1_struct_0(B!1)) | (~v1_funct_2(D!3, u1_struct_0(A!0), u1_struct_0(B!1))) | (~m1_relset_1(D!3, u1_struct_0(A!0), u1_struct_0(B!1))) | (k4_pre_topc(A!0, B!1, D!3, tptp_fun_D_5(k5_relat_1(D!3, E!4), C!2, A!0)) = k9_relat_1(D!3, tptp_fun_D_5(k5_relat_1(D!3, E!4), C!2, A!0))))),
% 0.39/0.56 inference(rewrite,[status(thm)],[])).
% 0.39/0.56 tff(71,plain,
% 0.39/0.56 (((k4_pre_topc(A!0, B!1, D!3, tptp_fun_D_5(k5_relat_1(D!3, E!4), C!2, A!0)) = k9_relat_1(D!3, tptp_fun_D_5(k5_relat_1(D!3, E!4), C!2, A!0))) | (~l1_struct_0(A!0)) | (~l1_struct_0(B!1)) | (~v1_funct_1(D!3)) | (~v1_funct_2(D!3, u1_struct_0(A!0), u1_struct_0(B!1))) | (~m1_relset_1(D!3, u1_struct_0(A!0), u1_struct_0(B!1)))) <=> ((~v1_funct_1(D!3)) | (~l1_struct_0(A!0)) | (~l1_struct_0(B!1)) | (~v1_funct_2(D!3, u1_struct_0(A!0), u1_struct_0(B!1))) | (~m1_relset_1(D!3, u1_struct_0(A!0), u1_struct_0(B!1))) | (k4_pre_topc(A!0, B!1, D!3, tptp_fun_D_5(k5_relat_1(D!3, E!4), C!2, A!0)) = k9_relat_1(D!3, tptp_fun_D_5(k5_relat_1(D!3, E!4), C!2, A!0))))),
% 0.39/0.56 inference(rewrite,[status(thm)],[])).
% 0.39/0.56 tff(72,plain,
% 0.39/0.56 (((~![A: $i, B: $i, C: $i, D: $i] : ((k4_pre_topc(A, B, C, D) = k9_relat_1(C, D)) | (~l1_struct_0(A)) | (~l1_struct_0(B)) | (~v1_funct_1(C)) | (~v1_funct_2(C, u1_struct_0(A), u1_struct_0(B))) | (~m1_relset_1(C, u1_struct_0(A), u1_struct_0(B))))) | ((k4_pre_topc(A!0, B!1, D!3, tptp_fun_D_5(k5_relat_1(D!3, E!4), C!2, A!0)) = k9_relat_1(D!3, tptp_fun_D_5(k5_relat_1(D!3, E!4), C!2, A!0))) | (~l1_struct_0(A!0)) | (~l1_struct_0(B!1)) | (~v1_funct_1(D!3)) | (~v1_funct_2(D!3, u1_struct_0(A!0), u1_struct_0(B!1))) | (~m1_relset_1(D!3, u1_struct_0(A!0), u1_struct_0(B!1))))) <=> ((~![A: $i, B: $i, C: $i, D: $i] : ((k4_pre_topc(A, B, C, D) = k9_relat_1(C, D)) | (~l1_struct_0(A)) | (~l1_struct_0(B)) | (~v1_funct_1(C)) | (~v1_funct_2(C, u1_struct_0(A), u1_struct_0(B))) | (~m1_relset_1(C, u1_struct_0(A), u1_struct_0(B))))) | ((~v1_funct_1(D!3)) | (~l1_struct_0(A!0)) | (~l1_struct_0(B!1)) | (~v1_funct_2(D!3, u1_struct_0(A!0), u1_struct_0(B!1))) | (~m1_relset_1(D!3, u1_struct_0(A!0), u1_struct_0(B!1))) | (k4_pre_topc(A!0, B!1, D!3, tptp_fun_D_5(k5_relat_1(D!3, E!4), C!2, A!0)) = k9_relat_1(D!3, tptp_fun_D_5(k5_relat_1(D!3, E!4), C!2, A!0)))))),
% 0.39/0.56 inference(monotonicity,[status(thm)],[71])).
% 0.39/0.56 tff(73,plain,
% 0.39/0.56 (((~![A: $i, B: $i, C: $i, D: $i] : ((k4_pre_topc(A, B, C, D) = k9_relat_1(C, D)) | (~l1_struct_0(A)) | (~l1_struct_0(B)) | (~v1_funct_1(C)) | (~v1_funct_2(C, u1_struct_0(A), u1_struct_0(B))) | (~m1_relset_1(C, u1_struct_0(A), u1_struct_0(B))))) | ((k4_pre_topc(A!0, B!1, D!3, tptp_fun_D_5(k5_relat_1(D!3, E!4), C!2, A!0)) = k9_relat_1(D!3, tptp_fun_D_5(k5_relat_1(D!3, E!4), C!2, A!0))) | (~l1_struct_0(A!0)) | (~l1_struct_0(B!1)) | (~v1_funct_1(D!3)) | (~v1_funct_2(D!3, u1_struct_0(A!0), u1_struct_0(B!1))) | (~m1_relset_1(D!3, u1_struct_0(A!0), u1_struct_0(B!1))))) <=> ((~![A: $i, B: $i, C: $i, D: $i] : ((k4_pre_topc(A, B, C, D) = k9_relat_1(C, D)) | (~l1_struct_0(A)) | (~l1_struct_0(B)) | (~v1_funct_1(C)) | (~v1_funct_2(C, u1_struct_0(A), u1_struct_0(B))) | (~m1_relset_1(C, u1_struct_0(A), u1_struct_0(B))))) | (~v1_funct_1(D!3)) | (~l1_struct_0(A!0)) | (~l1_struct_0(B!1)) | (~v1_funct_2(D!3, u1_struct_0(A!0), u1_struct_0(B!1))) | (~m1_relset_1(D!3, u1_struct_0(A!0), u1_struct_0(B!1))) | (k4_pre_topc(A!0, B!1, D!3, tptp_fun_D_5(k5_relat_1(D!3, E!4), C!2, A!0)) = k9_relat_1(D!3, tptp_fun_D_5(k5_relat_1(D!3, E!4), C!2, A!0))))),
% 0.39/0.56 inference(transitivity,[status(thm)],[72, 70])).
% 0.39/0.56 tff(74,plain,
% 0.39/0.56 ((~![A: $i, B: $i, C: $i, D: $i] : ((k4_pre_topc(A, B, C, D) = k9_relat_1(C, D)) | (~l1_struct_0(A)) | (~l1_struct_0(B)) | (~v1_funct_1(C)) | (~v1_funct_2(C, u1_struct_0(A), u1_struct_0(B))) | (~m1_relset_1(C, u1_struct_0(A), u1_struct_0(B))))) | ((k4_pre_topc(A!0, B!1, D!3, tptp_fun_D_5(k5_relat_1(D!3, E!4), C!2, A!0)) = k9_relat_1(D!3, tptp_fun_D_5(k5_relat_1(D!3, E!4), C!2, A!0))) | (~l1_struct_0(A!0)) | (~l1_struct_0(B!1)) | (~v1_funct_1(D!3)) | (~v1_funct_2(D!3, u1_struct_0(A!0), u1_struct_0(B!1))) | (~m1_relset_1(D!3, u1_struct_0(A!0), u1_struct_0(B!1))))),
% 0.39/0.56 inference(quant_inst,[status(thm)],[])).
% 0.39/0.56 tff(75,plain,
% 0.39/0.56 ((~![A: $i, B: $i, C: $i, D: $i] : ((k4_pre_topc(A, B, C, D) = k9_relat_1(C, D)) | (~l1_struct_0(A)) | (~l1_struct_0(B)) | (~v1_funct_1(C)) | (~v1_funct_2(C, u1_struct_0(A), u1_struct_0(B))) | (~m1_relset_1(C, u1_struct_0(A), u1_struct_0(B))))) | (~v1_funct_1(D!3)) | (~l1_struct_0(A!0)) | (~l1_struct_0(B!1)) | (~v1_funct_2(D!3, u1_struct_0(A!0), u1_struct_0(B!1))) | (~m1_relset_1(D!3, u1_struct_0(A!0), u1_struct_0(B!1))) | (k4_pre_topc(A!0, B!1, D!3, tptp_fun_D_5(k5_relat_1(D!3, E!4), C!2, A!0)) = k9_relat_1(D!3, tptp_fun_D_5(k5_relat_1(D!3, E!4), C!2, A!0)))),
% 0.39/0.56 inference(modus_ponens,[status(thm)],[74, 73])).
% 0.39/0.56 tff(76,plain,
% 0.39/0.56 (k4_pre_topc(A!0, B!1, D!3, tptp_fun_D_5(k5_relat_1(D!3, E!4), C!2, A!0)) = k9_relat_1(D!3, tptp_fun_D_5(k5_relat_1(D!3, E!4), C!2, A!0))),
% 0.39/0.56 inference(unit_resolution,[status(thm)],[75, 69, 68, 67, 54, 49, 34])).
% 0.39/0.56 tff(77,plain,
% 0.39/0.56 (k9_relat_1(D!3, tptp_fun_D_5(k5_relat_1(D!3, E!4), C!2, A!0)) = k4_pre_topc(A!0, B!1, D!3, tptp_fun_D_5(k5_relat_1(D!3, E!4), C!2, A!0))),
% 0.39/0.56 inference(symmetry,[status(thm)],[76])).
% 0.39/0.56 tff(78,plain,
% 0.39/0.56 (v1_finset_1(k9_relat_1(D!3, tptp_fun_D_5(k5_relat_1(D!3, E!4), C!2, A!0))) <=> v1_finset_1(k4_pre_topc(A!0, B!1, D!3, tptp_fun_D_5(k5_relat_1(D!3, E!4), C!2, A!0)))),
% 0.39/0.56 inference(monotonicity,[status(thm)],[77])).
% 0.39/0.56 tff(79,plain,
% 0.39/0.56 (v1_finset_1(k4_pre_topc(A!0, B!1, D!3, tptp_fun_D_5(k5_relat_1(D!3, E!4), C!2, A!0))) <=> v1_finset_1(k9_relat_1(D!3, tptp_fun_D_5(k5_relat_1(D!3, E!4), C!2, A!0)))),
% 0.39/0.56 inference(symmetry,[status(thm)],[78])).
% 0.39/0.56 tff(80,plain,
% 0.39/0.56 ((~v1_finset_1(k4_pre_topc(A!0, B!1, D!3, tptp_fun_D_5(k5_relat_1(D!3, E!4), C!2, A!0)))) <=> (~v1_finset_1(k9_relat_1(D!3, tptp_fun_D_5(k5_relat_1(D!3, E!4), C!2, A!0))))),
% 0.39/0.56 inference(monotonicity,[status(thm)],[79])).
% 0.39/0.56 tff(81,plain,
% 0.39/0.56 (^[A: $i, B: $i, C: $i, D: $i] : refl((m1_subset_1(k4_pre_topc(A, B, C, D), k1_zfmisc_1(u1_struct_0(B))) | (~l1_struct_0(A)) | (~l1_struct_0(B)) | (~v1_funct_1(C)) | (~v1_funct_2(C, u1_struct_0(A), u1_struct_0(B))) | (~m1_relset_1(C, u1_struct_0(A), u1_struct_0(B)))) <=> (m1_subset_1(k4_pre_topc(A, B, C, D), k1_zfmisc_1(u1_struct_0(B))) | (~l1_struct_0(A)) | (~l1_struct_0(B)) | (~v1_funct_1(C)) | (~v1_funct_2(C, u1_struct_0(A), u1_struct_0(B))) | (~m1_relset_1(C, u1_struct_0(A), u1_struct_0(B)))))),
% 0.39/0.56 inference(bind,[status(th)],[])).
% 0.39/0.56 tff(82,plain,
% 0.39/0.56 (![A: $i, B: $i, C: $i, D: $i] : (m1_subset_1(k4_pre_topc(A, B, C, D), k1_zfmisc_1(u1_struct_0(B))) | (~l1_struct_0(A)) | (~l1_struct_0(B)) | (~v1_funct_1(C)) | (~v1_funct_2(C, u1_struct_0(A), u1_struct_0(B))) | (~m1_relset_1(C, u1_struct_0(A), u1_struct_0(B)))) <=> ![A: $i, B: $i, C: $i, D: $i] : (m1_subset_1(k4_pre_topc(A, B, C, D), k1_zfmisc_1(u1_struct_0(B))) | (~l1_struct_0(A)) | (~l1_struct_0(B)) | (~v1_funct_1(C)) | (~v1_funct_2(C, u1_struct_0(A), u1_struct_0(B))) | (~m1_relset_1(C, u1_struct_0(A), u1_struct_0(B))))),
% 0.39/0.56 inference(quant_intro,[status(thm)],[81])).
% 0.39/0.56 tff(83,plain,
% 0.39/0.56 (^[A: $i, B: $i, C: $i, D: $i] : trans(monotonicity(trans(monotonicity(rewrite((l1_struct_0(A) & l1_struct_0(B) & v1_funct_1(C) & v1_funct_2(C, u1_struct_0(A), u1_struct_0(B)) & m1_relset_1(C, u1_struct_0(A), u1_struct_0(B))) <=> (~((~l1_struct_0(A)) | (~l1_struct_0(B)) | (~v1_funct_1(C)) | (~v1_funct_2(C, u1_struct_0(A), u1_struct_0(B))) | (~m1_relset_1(C, u1_struct_0(A), u1_struct_0(B)))))), ((~(l1_struct_0(A) & l1_struct_0(B) & v1_funct_1(C) & v1_funct_2(C, u1_struct_0(A), u1_struct_0(B)) & m1_relset_1(C, u1_struct_0(A), u1_struct_0(B)))) <=> (~(~((~l1_struct_0(A)) | (~l1_struct_0(B)) | (~v1_funct_1(C)) | (~v1_funct_2(C, u1_struct_0(A), u1_struct_0(B))) | (~m1_relset_1(C, u1_struct_0(A), u1_struct_0(B)))))))), rewrite((~(~((~l1_struct_0(A)) | (~l1_struct_0(B)) | (~v1_funct_1(C)) | (~v1_funct_2(C, u1_struct_0(A), u1_struct_0(B))) | (~m1_relset_1(C, u1_struct_0(A), u1_struct_0(B)))))) <=> ((~l1_struct_0(A)) | (~l1_struct_0(B)) | (~v1_funct_1(C)) | (~v1_funct_2(C, u1_struct_0(A), u1_struct_0(B))) | (~m1_relset_1(C, u1_struct_0(A), u1_struct_0(B))))), ((~(l1_struct_0(A) & l1_struct_0(B) & v1_funct_1(C) & v1_funct_2(C, u1_struct_0(A), u1_struct_0(B)) & m1_relset_1(C, u1_struct_0(A), u1_struct_0(B)))) <=> ((~l1_struct_0(A)) | (~l1_struct_0(B)) | (~v1_funct_1(C)) | (~v1_funct_2(C, u1_struct_0(A), u1_struct_0(B))) | (~m1_relset_1(C, u1_struct_0(A), u1_struct_0(B)))))), (((~(l1_struct_0(A) & l1_struct_0(B) & v1_funct_1(C) & v1_funct_2(C, u1_struct_0(A), u1_struct_0(B)) & m1_relset_1(C, u1_struct_0(A), u1_struct_0(B)))) | m1_subset_1(k4_pre_topc(A, B, C, D), k1_zfmisc_1(u1_struct_0(B)))) <=> (((~l1_struct_0(A)) | (~l1_struct_0(B)) | (~v1_funct_1(C)) | (~v1_funct_2(C, u1_struct_0(A), u1_struct_0(B))) | (~m1_relset_1(C, u1_struct_0(A), u1_struct_0(B)))) | m1_subset_1(k4_pre_topc(A, B, C, D), k1_zfmisc_1(u1_struct_0(B)))))), rewrite((((~l1_struct_0(A)) | (~l1_struct_0(B)) | (~v1_funct_1(C)) | (~v1_funct_2(C, u1_struct_0(A), u1_struct_0(B))) | (~m1_relset_1(C, u1_struct_0(A), u1_struct_0(B)))) | m1_subset_1(k4_pre_topc(A, B, C, D), k1_zfmisc_1(u1_struct_0(B)))) <=> (m1_subset_1(k4_pre_topc(A, B, C, D), k1_zfmisc_1(u1_struct_0(B))) | (~l1_struct_0(A)) | (~l1_struct_0(B)) | (~v1_funct_1(C)) | (~v1_funct_2(C, u1_struct_0(A), u1_struct_0(B))) | (~m1_relset_1(C, u1_struct_0(A), u1_struct_0(B))))), (((~(l1_struct_0(A) & l1_struct_0(B) & v1_funct_1(C) & v1_funct_2(C, u1_struct_0(A), u1_struct_0(B)) & m1_relset_1(C, u1_struct_0(A), u1_struct_0(B)))) | m1_subset_1(k4_pre_topc(A, B, C, D), k1_zfmisc_1(u1_struct_0(B)))) <=> (m1_subset_1(k4_pre_topc(A, B, C, D), k1_zfmisc_1(u1_struct_0(B))) | (~l1_struct_0(A)) | (~l1_struct_0(B)) | (~v1_funct_1(C)) | (~v1_funct_2(C, u1_struct_0(A), u1_struct_0(B))) | (~m1_relset_1(C, u1_struct_0(A), u1_struct_0(B))))))),
% 0.39/0.56 inference(bind,[status(th)],[])).
% 0.39/0.56 tff(84,plain,
% 0.39/0.56 (![A: $i, B: $i, C: $i, D: $i] : ((~(l1_struct_0(A) & l1_struct_0(B) & v1_funct_1(C) & v1_funct_2(C, u1_struct_0(A), u1_struct_0(B)) & m1_relset_1(C, u1_struct_0(A), u1_struct_0(B)))) | m1_subset_1(k4_pre_topc(A, B, C, D), k1_zfmisc_1(u1_struct_0(B)))) <=> ![A: $i, B: $i, C: $i, D: $i] : (m1_subset_1(k4_pre_topc(A, B, C, D), k1_zfmisc_1(u1_struct_0(B))) | (~l1_struct_0(A)) | (~l1_struct_0(B)) | (~v1_funct_1(C)) | (~v1_funct_2(C, u1_struct_0(A), u1_struct_0(B))) | (~m1_relset_1(C, u1_struct_0(A), u1_struct_0(B))))),
% 0.39/0.56 inference(quant_intro,[status(thm)],[83])).
% 0.39/0.56 tff(85,plain,
% 0.39/0.56 (![A: $i, B: $i, C: $i, D: $i] : ((~(l1_struct_0(A) & l1_struct_0(B) & v1_funct_1(C) & v1_funct_2(C, u1_struct_0(A), u1_struct_0(B)) & m1_relset_1(C, u1_struct_0(A), u1_struct_0(B)))) | m1_subset_1(k4_pre_topc(A, B, C, D), k1_zfmisc_1(u1_struct_0(B)))) <=> ![A: $i, B: $i, C: $i, D: $i] : ((~(l1_struct_0(A) & l1_struct_0(B) & v1_funct_1(C) & v1_funct_2(C, u1_struct_0(A), u1_struct_0(B)) & m1_relset_1(C, u1_struct_0(A), u1_struct_0(B)))) | m1_subset_1(k4_pre_topc(A, B, C, D), k1_zfmisc_1(u1_struct_0(B))))),
% 0.39/0.56 inference(rewrite,[status(thm)],[])).
% 0.39/0.56 tff(86,plain,
% 0.39/0.56 (^[A: $i, B: $i, C: $i, D: $i] : trans(monotonicity(trans(monotonicity(trans(monotonicity(rewrite(((l1_struct_0(A) & l1_struct_0(B)) & v1_funct_1(C)) <=> (l1_struct_0(A) & l1_struct_0(B) & v1_funct_1(C))), ((((l1_struct_0(A) & l1_struct_0(B)) & v1_funct_1(C)) & v1_funct_2(C, u1_struct_0(A), u1_struct_0(B))) <=> ((l1_struct_0(A) & l1_struct_0(B) & v1_funct_1(C)) & v1_funct_2(C, u1_struct_0(A), u1_struct_0(B))))), rewrite(((l1_struct_0(A) & l1_struct_0(B) & v1_funct_1(C)) & v1_funct_2(C, u1_struct_0(A), u1_struct_0(B))) <=> (l1_struct_0(A) & l1_struct_0(B) & v1_funct_1(C) & v1_funct_2(C, u1_struct_0(A), u1_struct_0(B)))), ((((l1_struct_0(A) & l1_struct_0(B)) & v1_funct_1(C)) & v1_funct_2(C, u1_struct_0(A), u1_struct_0(B))) <=> (l1_struct_0(A) & l1_struct_0(B) & v1_funct_1(C) & v1_funct_2(C, u1_struct_0(A), u1_struct_0(B))))), (((((l1_struct_0(A) & l1_struct_0(B)) & v1_funct_1(C)) & v1_funct_2(C, u1_struct_0(A), u1_struct_0(B))) & m1_relset_1(C, u1_struct_0(A), u1_struct_0(B))) <=> ((l1_struct_0(A) & l1_struct_0(B) & v1_funct_1(C) & v1_funct_2(C, u1_struct_0(A), u1_struct_0(B))) & m1_relset_1(C, u1_struct_0(A), u1_struct_0(B))))), rewrite(((l1_struct_0(A) & l1_struct_0(B) & v1_funct_1(C) & v1_funct_2(C, u1_struct_0(A), u1_struct_0(B))) & m1_relset_1(C, u1_struct_0(A), u1_struct_0(B))) <=> (l1_struct_0(A) & l1_struct_0(B) & v1_funct_1(C) & v1_funct_2(C, u1_struct_0(A), u1_struct_0(B)) & m1_relset_1(C, u1_struct_0(A), u1_struct_0(B)))), (((((l1_struct_0(A) & l1_struct_0(B)) & v1_funct_1(C)) & v1_funct_2(C, u1_struct_0(A), u1_struct_0(B))) & m1_relset_1(C, u1_struct_0(A), u1_struct_0(B))) <=> (l1_struct_0(A) & l1_struct_0(B) & v1_funct_1(C) & v1_funct_2(C, u1_struct_0(A), u1_struct_0(B)) & m1_relset_1(C, u1_struct_0(A), u1_struct_0(B))))), ((((((l1_struct_0(A) & l1_struct_0(B)) & v1_funct_1(C)) & v1_funct_2(C, u1_struct_0(A), u1_struct_0(B))) & m1_relset_1(C, u1_struct_0(A), u1_struct_0(B))) => m1_subset_1(k4_pre_topc(A, B, C, D), k1_zfmisc_1(u1_struct_0(B)))) <=> ((l1_struct_0(A) & l1_struct_0(B) & v1_funct_1(C) & v1_funct_2(C, u1_struct_0(A), u1_struct_0(B)) & m1_relset_1(C, u1_struct_0(A), u1_struct_0(B))) => m1_subset_1(k4_pre_topc(A, B, C, D), k1_zfmisc_1(u1_struct_0(B)))))), rewrite(((l1_struct_0(A) & l1_struct_0(B) & v1_funct_1(C) & v1_funct_2(C, u1_struct_0(A), u1_struct_0(B)) & m1_relset_1(C, u1_struct_0(A), u1_struct_0(B))) => m1_subset_1(k4_pre_topc(A, B, C, D), k1_zfmisc_1(u1_struct_0(B)))) <=> ((~(l1_struct_0(A) & l1_struct_0(B) & v1_funct_1(C) & v1_funct_2(C, u1_struct_0(A), u1_struct_0(B)) & m1_relset_1(C, u1_struct_0(A), u1_struct_0(B)))) | m1_subset_1(k4_pre_topc(A, B, C, D), k1_zfmisc_1(u1_struct_0(B))))), ((((((l1_struct_0(A) & l1_struct_0(B)) & v1_funct_1(C)) & v1_funct_2(C, u1_struct_0(A), u1_struct_0(B))) & m1_relset_1(C, u1_struct_0(A), u1_struct_0(B))) => m1_subset_1(k4_pre_topc(A, B, C, D), k1_zfmisc_1(u1_struct_0(B)))) <=> ((~(l1_struct_0(A) & l1_struct_0(B) & v1_funct_1(C) & v1_funct_2(C, u1_struct_0(A), u1_struct_0(B)) & m1_relset_1(C, u1_struct_0(A), u1_struct_0(B)))) | m1_subset_1(k4_pre_topc(A, B, C, D), k1_zfmisc_1(u1_struct_0(B))))))),
% 0.41/0.57 inference(bind,[status(th)],[])).
% 0.41/0.57 tff(87,plain,
% 0.41/0.57 (![A: $i, B: $i, C: $i, D: $i] : (((((l1_struct_0(A) & l1_struct_0(B)) & v1_funct_1(C)) & v1_funct_2(C, u1_struct_0(A), u1_struct_0(B))) & m1_relset_1(C, u1_struct_0(A), u1_struct_0(B))) => m1_subset_1(k4_pre_topc(A, B, C, D), k1_zfmisc_1(u1_struct_0(B)))) <=> ![A: $i, B: $i, C: $i, D: $i] : ((~(l1_struct_0(A) & l1_struct_0(B) & v1_funct_1(C) & v1_funct_2(C, u1_struct_0(A), u1_struct_0(B)) & m1_relset_1(C, u1_struct_0(A), u1_struct_0(B)))) | m1_subset_1(k4_pre_topc(A, B, C, D), k1_zfmisc_1(u1_struct_0(B))))),
% 0.41/0.57 inference(quant_intro,[status(thm)],[86])).
% 0.41/0.57 tff(88,axiom,(![A: $i, B: $i, C: $i, D: $i] : (((((l1_struct_0(A) & l1_struct_0(B)) & v1_funct_1(C)) & v1_funct_2(C, u1_struct_0(A), u1_struct_0(B))) & m1_relset_1(C, u1_struct_0(A), u1_struct_0(B))) => m1_subset_1(k4_pre_topc(A, B, C, D), k1_zfmisc_1(u1_struct_0(B))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','dt_k4_pre_topc')).
% 0.41/0.57 tff(89,plain,
% 0.41/0.57 (![A: $i, B: $i, C: $i, D: $i] : ((~(l1_struct_0(A) & l1_struct_0(B) & v1_funct_1(C) & v1_funct_2(C, u1_struct_0(A), u1_struct_0(B)) & m1_relset_1(C, u1_struct_0(A), u1_struct_0(B)))) | m1_subset_1(k4_pre_topc(A, B, C, D), k1_zfmisc_1(u1_struct_0(B))))),
% 0.41/0.57 inference(modus_ponens,[status(thm)],[88, 87])).
% 0.41/0.57 tff(90,plain,
% 0.41/0.57 (![A: $i, B: $i, C: $i, D: $i] : ((~(l1_struct_0(A) & l1_struct_0(B) & v1_funct_1(C) & v1_funct_2(C, u1_struct_0(A), u1_struct_0(B)) & m1_relset_1(C, u1_struct_0(A), u1_struct_0(B)))) | m1_subset_1(k4_pre_topc(A, B, C, D), k1_zfmisc_1(u1_struct_0(B))))),
% 0.41/0.57 inference(modus_ponens,[status(thm)],[89, 85])).
% 0.41/0.57 tff(91,plain,(
% 0.41/0.57 ![A: $i, B: $i, C: $i, D: $i] : ((~(l1_struct_0(A) & l1_struct_0(B) & v1_funct_1(C) & v1_funct_2(C, u1_struct_0(A), u1_struct_0(B)) & m1_relset_1(C, u1_struct_0(A), u1_struct_0(B)))) | m1_subset_1(k4_pre_topc(A, B, C, D), k1_zfmisc_1(u1_struct_0(B))))),
% 0.41/0.57 inference(skolemize,[status(sab)],[90])).
% 0.41/0.57 tff(92,plain,
% 0.41/0.57 (![A: $i, B: $i, C: $i, D: $i] : (m1_subset_1(k4_pre_topc(A, B, C, D), k1_zfmisc_1(u1_struct_0(B))) | (~l1_struct_0(A)) | (~l1_struct_0(B)) | (~v1_funct_1(C)) | (~v1_funct_2(C, u1_struct_0(A), u1_struct_0(B))) | (~m1_relset_1(C, u1_struct_0(A), u1_struct_0(B))))),
% 0.41/0.57 inference(modus_ponens,[status(thm)],[91, 84])).
% 0.41/0.57 tff(93,plain,
% 0.41/0.57 (![A: $i, B: $i, C: $i, D: $i] : (m1_subset_1(k4_pre_topc(A, B, C, D), k1_zfmisc_1(u1_struct_0(B))) | (~l1_struct_0(A)) | (~l1_struct_0(B)) | (~v1_funct_1(C)) | (~v1_funct_2(C, u1_struct_0(A), u1_struct_0(B))) | (~m1_relset_1(C, u1_struct_0(A), u1_struct_0(B))))),
% 0.41/0.57 inference(modus_ponens,[status(thm)],[92, 82])).
% 0.41/0.57 tff(94,plain,
% 0.41/0.57 (((~![A: $i, B: $i, C: $i, D: $i] : (m1_subset_1(k4_pre_topc(A, B, C, D), k1_zfmisc_1(u1_struct_0(B))) | (~l1_struct_0(A)) | (~l1_struct_0(B)) | (~v1_funct_1(C)) | (~v1_funct_2(C, u1_struct_0(A), u1_struct_0(B))) | (~m1_relset_1(C, u1_struct_0(A), u1_struct_0(B))))) | ((~v1_funct_1(D!3)) | (~l1_struct_0(A!0)) | (~l1_struct_0(B!1)) | (~v1_funct_2(D!3, u1_struct_0(A!0), u1_struct_0(B!1))) | (~m1_relset_1(D!3, u1_struct_0(A!0), u1_struct_0(B!1))) | m1_subset_1(k4_pre_topc(A!0, B!1, D!3, tptp_fun_D_5(k5_relat_1(D!3, E!4), C!2, A!0)), k1_zfmisc_1(u1_struct_0(B!1))))) <=> ((~![A: $i, B: $i, C: $i, D: $i] : (m1_subset_1(k4_pre_topc(A, B, C, D), k1_zfmisc_1(u1_struct_0(B))) | (~l1_struct_0(A)) | (~l1_struct_0(B)) | (~v1_funct_1(C)) | (~v1_funct_2(C, u1_struct_0(A), u1_struct_0(B))) | (~m1_relset_1(C, u1_struct_0(A), u1_struct_0(B))))) | (~v1_funct_1(D!3)) | (~l1_struct_0(A!0)) | (~l1_struct_0(B!1)) | (~v1_funct_2(D!3, u1_struct_0(A!0), u1_struct_0(B!1))) | (~m1_relset_1(D!3, u1_struct_0(A!0), u1_struct_0(B!1))) | m1_subset_1(k4_pre_topc(A!0, B!1, D!3, tptp_fun_D_5(k5_relat_1(D!3, E!4), C!2, A!0)), k1_zfmisc_1(u1_struct_0(B!1))))),
% 0.41/0.57 inference(rewrite,[status(thm)],[])).
% 0.41/0.57 tff(95,plain,
% 0.41/0.57 ((m1_subset_1(k4_pre_topc(A!0, B!1, D!3, tptp_fun_D_5(k5_relat_1(D!3, E!4), C!2, A!0)), k1_zfmisc_1(u1_struct_0(B!1))) | (~l1_struct_0(A!0)) | (~l1_struct_0(B!1)) | (~v1_funct_1(D!3)) | (~v1_funct_2(D!3, u1_struct_0(A!0), u1_struct_0(B!1))) | (~m1_relset_1(D!3, u1_struct_0(A!0), u1_struct_0(B!1)))) <=> ((~v1_funct_1(D!3)) | (~l1_struct_0(A!0)) | (~l1_struct_0(B!1)) | (~v1_funct_2(D!3, u1_struct_0(A!0), u1_struct_0(B!1))) | (~m1_relset_1(D!3, u1_struct_0(A!0), u1_struct_0(B!1))) | m1_subset_1(k4_pre_topc(A!0, B!1, D!3, tptp_fun_D_5(k5_relat_1(D!3, E!4), C!2, A!0)), k1_zfmisc_1(u1_struct_0(B!1))))),
% 0.41/0.57 inference(rewrite,[status(thm)],[])).
% 0.41/0.57 tff(96,plain,
% 0.41/0.57 (((~![A: $i, B: $i, C: $i, D: $i] : (m1_subset_1(k4_pre_topc(A, B, C, D), k1_zfmisc_1(u1_struct_0(B))) | (~l1_struct_0(A)) | (~l1_struct_0(B)) | (~v1_funct_1(C)) | (~v1_funct_2(C, u1_struct_0(A), u1_struct_0(B))) | (~m1_relset_1(C, u1_struct_0(A), u1_struct_0(B))))) | (m1_subset_1(k4_pre_topc(A!0, B!1, D!3, tptp_fun_D_5(k5_relat_1(D!3, E!4), C!2, A!0)), k1_zfmisc_1(u1_struct_0(B!1))) | (~l1_struct_0(A!0)) | (~l1_struct_0(B!1)) | (~v1_funct_1(D!3)) | (~v1_funct_2(D!3, u1_struct_0(A!0), u1_struct_0(B!1))) | (~m1_relset_1(D!3, u1_struct_0(A!0), u1_struct_0(B!1))))) <=> ((~![A: $i, B: $i, C: $i, D: $i] : (m1_subset_1(k4_pre_topc(A, B, C, D), k1_zfmisc_1(u1_struct_0(B))) | (~l1_struct_0(A)) | (~l1_struct_0(B)) | (~v1_funct_1(C)) | (~v1_funct_2(C, u1_struct_0(A), u1_struct_0(B))) | (~m1_relset_1(C, u1_struct_0(A), u1_struct_0(B))))) | ((~v1_funct_1(D!3)) | (~l1_struct_0(A!0)) | (~l1_struct_0(B!1)) | (~v1_funct_2(D!3, u1_struct_0(A!0), u1_struct_0(B!1))) | (~m1_relset_1(D!3, u1_struct_0(A!0), u1_struct_0(B!1))) | m1_subset_1(k4_pre_topc(A!0, B!1, D!3, tptp_fun_D_5(k5_relat_1(D!3, E!4), C!2, A!0)), k1_zfmisc_1(u1_struct_0(B!1)))))),
% 0.41/0.57 inference(monotonicity,[status(thm)],[95])).
% 0.41/0.57 tff(97,plain,
% 0.41/0.57 (((~![A: $i, B: $i, C: $i, D: $i] : (m1_subset_1(k4_pre_topc(A, B, C, D), k1_zfmisc_1(u1_struct_0(B))) | (~l1_struct_0(A)) | (~l1_struct_0(B)) | (~v1_funct_1(C)) | (~v1_funct_2(C, u1_struct_0(A), u1_struct_0(B))) | (~m1_relset_1(C, u1_struct_0(A), u1_struct_0(B))))) | (m1_subset_1(k4_pre_topc(A!0, B!1, D!3, tptp_fun_D_5(k5_relat_1(D!3, E!4), C!2, A!0)), k1_zfmisc_1(u1_struct_0(B!1))) | (~l1_struct_0(A!0)) | (~l1_struct_0(B!1)) | (~v1_funct_1(D!3)) | (~v1_funct_2(D!3, u1_struct_0(A!0), u1_struct_0(B!1))) | (~m1_relset_1(D!3, u1_struct_0(A!0), u1_struct_0(B!1))))) <=> ((~![A: $i, B: $i, C: $i, D: $i] : (m1_subset_1(k4_pre_topc(A, B, C, D), k1_zfmisc_1(u1_struct_0(B))) | (~l1_struct_0(A)) | (~l1_struct_0(B)) | (~v1_funct_1(C)) | (~v1_funct_2(C, u1_struct_0(A), u1_struct_0(B))) | (~m1_relset_1(C, u1_struct_0(A), u1_struct_0(B))))) | (~v1_funct_1(D!3)) | (~l1_struct_0(A!0)) | (~l1_struct_0(B!1)) | (~v1_funct_2(D!3, u1_struct_0(A!0), u1_struct_0(B!1))) | (~m1_relset_1(D!3, u1_struct_0(A!0), u1_struct_0(B!1))) | m1_subset_1(k4_pre_topc(A!0, B!1, D!3, tptp_fun_D_5(k5_relat_1(D!3, E!4), C!2, A!0)), k1_zfmisc_1(u1_struct_0(B!1))))),
% 0.41/0.57 inference(transitivity,[status(thm)],[96, 94])).
% 0.41/0.57 tff(98,plain,
% 0.41/0.57 ((~![A: $i, B: $i, C: $i, D: $i] : (m1_subset_1(k4_pre_topc(A, B, C, D), k1_zfmisc_1(u1_struct_0(B))) | (~l1_struct_0(A)) | (~l1_struct_0(B)) | (~v1_funct_1(C)) | (~v1_funct_2(C, u1_struct_0(A), u1_struct_0(B))) | (~m1_relset_1(C, u1_struct_0(A), u1_struct_0(B))))) | (m1_subset_1(k4_pre_topc(A!0, B!1, D!3, tptp_fun_D_5(k5_relat_1(D!3, E!4), C!2, A!0)), k1_zfmisc_1(u1_struct_0(B!1))) | (~l1_struct_0(A!0)) | (~l1_struct_0(B!1)) | (~v1_funct_1(D!3)) | (~v1_funct_2(D!3, u1_struct_0(A!0), u1_struct_0(B!1))) | (~m1_relset_1(D!3, u1_struct_0(A!0), u1_struct_0(B!1))))),
% 0.41/0.57 inference(quant_inst,[status(thm)],[])).
% 0.41/0.57 tff(99,plain,
% 0.41/0.57 ((~![A: $i, B: $i, C: $i, D: $i] : (m1_subset_1(k4_pre_topc(A, B, C, D), k1_zfmisc_1(u1_struct_0(B))) | (~l1_struct_0(A)) | (~l1_struct_0(B)) | (~v1_funct_1(C)) | (~v1_funct_2(C, u1_struct_0(A), u1_struct_0(B))) | (~m1_relset_1(C, u1_struct_0(A), u1_struct_0(B))))) | (~v1_funct_1(D!3)) | (~l1_struct_0(A!0)) | (~l1_struct_0(B!1)) | (~v1_funct_2(D!3, u1_struct_0(A!0), u1_struct_0(B!1))) | (~m1_relset_1(D!3, u1_struct_0(A!0), u1_struct_0(B!1))) | m1_subset_1(k4_pre_topc(A!0, B!1, D!3, tptp_fun_D_5(k5_relat_1(D!3, E!4), C!2, A!0)), k1_zfmisc_1(u1_struct_0(B!1)))),
% 0.41/0.57 inference(modus_ponens,[status(thm)],[98, 97])).
% 0.41/0.57 tff(100,plain,
% 0.41/0.57 (m1_subset_1(k4_pre_topc(A!0, B!1, D!3, tptp_fun_D_5(k5_relat_1(D!3, E!4), C!2, A!0)), k1_zfmisc_1(u1_struct_0(B!1)))),
% 0.41/0.57 inference(unit_resolution,[status(thm)],[99, 69, 68, 93, 54, 49, 34])).
% 0.41/0.57 tff(101,plain,
% 0.41/0.57 (^[A: $i] : refl((v3_struct_0(A) | (~v1_xboole_0(u1_struct_0(A))) | (~l1_struct_0(A))) <=> (v3_struct_0(A) | (~v1_xboole_0(u1_struct_0(A))) | (~l1_struct_0(A))))),
% 0.41/0.57 inference(bind,[status(th)],[])).
% 0.41/0.57 tff(102,plain,
% 0.41/0.57 (![A: $i] : (v3_struct_0(A) | (~v1_xboole_0(u1_struct_0(A))) | (~l1_struct_0(A))) <=> ![A: $i] : (v3_struct_0(A) | (~v1_xboole_0(u1_struct_0(A))) | (~l1_struct_0(A)))),
% 0.41/0.57 inference(quant_intro,[status(thm)],[101])).
% 0.41/0.57 tff(103,plain,
% 0.41/0.57 (^[A: $i] : trans(monotonicity(trans(monotonicity(rewrite(((~v3_struct_0(A)) & l1_struct_0(A)) <=> (~(v3_struct_0(A) | (~l1_struct_0(A))))), ((~((~v3_struct_0(A)) & l1_struct_0(A))) <=> (~(~(v3_struct_0(A) | (~l1_struct_0(A))))))), rewrite((~(~(v3_struct_0(A) | (~l1_struct_0(A))))) <=> (v3_struct_0(A) | (~l1_struct_0(A)))), ((~((~v3_struct_0(A)) & l1_struct_0(A))) <=> (v3_struct_0(A) | (~l1_struct_0(A))))), (((~v1_xboole_0(u1_struct_0(A))) | (~((~v3_struct_0(A)) & l1_struct_0(A)))) <=> ((~v1_xboole_0(u1_struct_0(A))) | (v3_struct_0(A) | (~l1_struct_0(A)))))), rewrite(((~v1_xboole_0(u1_struct_0(A))) | (v3_struct_0(A) | (~l1_struct_0(A)))) <=> (v3_struct_0(A) | (~v1_xboole_0(u1_struct_0(A))) | (~l1_struct_0(A)))), (((~v1_xboole_0(u1_struct_0(A))) | (~((~v3_struct_0(A)) & l1_struct_0(A)))) <=> (v3_struct_0(A) | (~v1_xboole_0(u1_struct_0(A))) | (~l1_struct_0(A)))))),
% 0.41/0.57 inference(bind,[status(th)],[])).
% 0.41/0.57 tff(104,plain,
% 0.41/0.57 (![A: $i] : ((~v1_xboole_0(u1_struct_0(A))) | (~((~v3_struct_0(A)) & l1_struct_0(A)))) <=> ![A: $i] : (v3_struct_0(A) | (~v1_xboole_0(u1_struct_0(A))) | (~l1_struct_0(A)))),
% 0.41/0.57 inference(quant_intro,[status(thm)],[103])).
% 0.41/0.57 tff(105,plain,
% 0.41/0.57 (![A: $i] : ((~v1_xboole_0(u1_struct_0(A))) | (~((~v3_struct_0(A)) & l1_struct_0(A)))) <=> ![A: $i] : ((~v1_xboole_0(u1_struct_0(A))) | (~((~v3_struct_0(A)) & l1_struct_0(A))))),
% 0.41/0.57 inference(rewrite,[status(thm)],[])).
% 0.41/0.57 tff(106,plain,
% 0.41/0.57 (^[A: $i] : rewrite((((~v3_struct_0(A)) & l1_struct_0(A)) => (~v1_xboole_0(u1_struct_0(A)))) <=> ((~v1_xboole_0(u1_struct_0(A))) | (~((~v3_struct_0(A)) & l1_struct_0(A)))))),
% 0.41/0.57 inference(bind,[status(th)],[])).
% 0.41/0.57 tff(107,plain,
% 0.41/0.57 (![A: $i] : (((~v3_struct_0(A)) & l1_struct_0(A)) => (~v1_xboole_0(u1_struct_0(A)))) <=> ![A: $i] : ((~v1_xboole_0(u1_struct_0(A))) | (~((~v3_struct_0(A)) & l1_struct_0(A))))),
% 0.41/0.57 inference(quant_intro,[status(thm)],[106])).
% 0.41/0.57 tff(108,axiom,(![A: $i] : (((~v3_struct_0(A)) & l1_struct_0(A)) => (~v1_xboole_0(u1_struct_0(A))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','fc1_struct_0')).
% 0.41/0.57 tff(109,plain,
% 0.41/0.57 (![A: $i] : ((~v1_xboole_0(u1_struct_0(A))) | (~((~v3_struct_0(A)) & l1_struct_0(A))))),
% 0.41/0.57 inference(modus_ponens,[status(thm)],[108, 107])).
% 0.41/0.57 tff(110,plain,
% 0.41/0.57 (![A: $i] : ((~v1_xboole_0(u1_struct_0(A))) | (~((~v3_struct_0(A)) & l1_struct_0(A))))),
% 0.41/0.57 inference(modus_ponens,[status(thm)],[109, 105])).
% 0.41/0.57 tff(111,plain,(
% 0.41/0.57 ![A: $i] : ((~v1_xboole_0(u1_struct_0(A))) | (~((~v3_struct_0(A)) & l1_struct_0(A))))),
% 0.41/0.57 inference(skolemize,[status(sab)],[110])).
% 0.41/0.57 tff(112,plain,
% 0.41/0.57 (![A: $i] : (v3_struct_0(A) | (~v1_xboole_0(u1_struct_0(A))) | (~l1_struct_0(A)))),
% 0.41/0.57 inference(modus_ponens,[status(thm)],[111, 104])).
% 0.41/0.57 tff(113,plain,
% 0.41/0.57 (![A: $i] : (v3_struct_0(A) | (~v1_xboole_0(u1_struct_0(A))) | (~l1_struct_0(A)))),
% 0.41/0.57 inference(modus_ponens,[status(thm)],[112, 102])).
% 0.41/0.57 tff(114,plain,
% 0.41/0.57 (~v3_struct_0(B!1)),
% 0.41/0.57 inference(and_elim,[status(thm)],[30])).
% 0.41/0.57 tff(115,plain,
% 0.41/0.57 (((~![A: $i] : (v3_struct_0(A) | (~v1_xboole_0(u1_struct_0(A))) | (~l1_struct_0(A)))) | (v3_struct_0(B!1) | (~l1_struct_0(B!1)) | (~v1_xboole_0(u1_struct_0(B!1))))) <=> ((~![A: $i] : (v3_struct_0(A) | (~v1_xboole_0(u1_struct_0(A))) | (~l1_struct_0(A)))) | v3_struct_0(B!1) | (~l1_struct_0(B!1)) | (~v1_xboole_0(u1_struct_0(B!1))))),
% 0.41/0.57 inference(rewrite,[status(thm)],[])).
% 0.41/0.57 tff(116,plain,
% 0.41/0.57 ((v3_struct_0(B!1) | (~v1_xboole_0(u1_struct_0(B!1))) | (~l1_struct_0(B!1))) <=> (v3_struct_0(B!1) | (~l1_struct_0(B!1)) | (~v1_xboole_0(u1_struct_0(B!1))))),
% 0.41/0.57 inference(rewrite,[status(thm)],[])).
% 0.41/0.57 tff(117,plain,
% 0.41/0.57 (((~![A: $i] : (v3_struct_0(A) | (~v1_xboole_0(u1_struct_0(A))) | (~l1_struct_0(A)))) | (v3_struct_0(B!1) | (~v1_xboole_0(u1_struct_0(B!1))) | (~l1_struct_0(B!1)))) <=> ((~![A: $i] : (v3_struct_0(A) | (~v1_xboole_0(u1_struct_0(A))) | (~l1_struct_0(A)))) | (v3_struct_0(B!1) | (~l1_struct_0(B!1)) | (~v1_xboole_0(u1_struct_0(B!1)))))),
% 0.41/0.57 inference(monotonicity,[status(thm)],[116])).
% 0.41/0.57 tff(118,plain,
% 0.41/0.57 (((~![A: $i] : (v3_struct_0(A) | (~v1_xboole_0(u1_struct_0(A))) | (~l1_struct_0(A)))) | (v3_struct_0(B!1) | (~v1_xboole_0(u1_struct_0(B!1))) | (~l1_struct_0(B!1)))) <=> ((~![A: $i] : (v3_struct_0(A) | (~v1_xboole_0(u1_struct_0(A))) | (~l1_struct_0(A)))) | v3_struct_0(B!1) | (~l1_struct_0(B!1)) | (~v1_xboole_0(u1_struct_0(B!1))))),
% 0.41/0.57 inference(transitivity,[status(thm)],[117, 115])).
% 0.41/0.57 tff(119,plain,
% 0.41/0.57 ((~![A: $i] : (v3_struct_0(A) | (~v1_xboole_0(u1_struct_0(A))) | (~l1_struct_0(A)))) | (v3_struct_0(B!1) | (~v1_xboole_0(u1_struct_0(B!1))) | (~l1_struct_0(B!1)))),
% 0.41/0.58 inference(quant_inst,[status(thm)],[])).
% 0.41/0.58 tff(120,plain,
% 0.41/0.58 ((~![A: $i] : (v3_struct_0(A) | (~v1_xboole_0(u1_struct_0(A))) | (~l1_struct_0(A)))) | v3_struct_0(B!1) | (~l1_struct_0(B!1)) | (~v1_xboole_0(u1_struct_0(B!1)))),
% 0.41/0.58 inference(modus_ponens,[status(thm)],[119, 118])).
% 0.41/0.58 tff(121,plain,
% 0.41/0.58 ((~l1_struct_0(B!1)) | (~v1_xboole_0(u1_struct_0(B!1)))),
% 0.41/0.58 inference(unit_resolution,[status(thm)],[120, 114, 113])).
% 0.41/0.58 tff(122,plain,
% 0.41/0.58 (~v1_xboole_0(u1_struct_0(B!1))),
% 0.41/0.58 inference(unit_resolution,[status(thm)],[121, 49])).
% 0.41/0.58 tff(123,plain,
% 0.41/0.58 ((~![A: $i, B: $i, C: $i] : (m2_relset_1(C, A, B) <=> m1_relset_1(C, A, B))) | (m2_relset_1(E!4, u1_struct_0(B!1), u1_struct_0(C!2)) <=> m1_relset_1(E!4, u1_struct_0(B!1), u1_struct_0(C!2)))),
% 0.41/0.58 inference(quant_inst,[status(thm)],[])).
% 0.41/0.58 tff(124,plain,
% 0.41/0.58 (m2_relset_1(E!4, u1_struct_0(B!1), u1_struct_0(C!2)) <=> m1_relset_1(E!4, u1_struct_0(B!1), u1_struct_0(C!2))),
% 0.41/0.58 inference(unit_resolution,[status(thm)],[123, 7])).
% 0.41/0.58 tff(125,plain,
% 0.41/0.58 (~(v4_waybel34(k7_funct_2(u1_struct_0(A!0), u1_struct_0(B!1), u1_struct_0(C!2), D!3, E!4), A!0, C!2) | (~(v4_waybel34(D!3, A!0, B!1) & v4_waybel34(E!4, B!1, C!2))) | (~(v1_funct_1(E!4) & v1_funct_2(E!4, u1_struct_0(B!1), u1_struct_0(C!2)) & m2_relset_1(E!4, u1_struct_0(B!1), u1_struct_0(C!2)))))),
% 0.41/0.58 inference(and_elim,[status(thm)],[30])).
% 0.41/0.58 tff(126,plain,
% 0.41/0.58 (v1_funct_1(E!4) & v1_funct_2(E!4, u1_struct_0(B!1), u1_struct_0(C!2)) & m2_relset_1(E!4, u1_struct_0(B!1), u1_struct_0(C!2))),
% 0.41/0.58 inference(or_elim,[status(thm)],[125])).
% 0.41/0.58 tff(127,plain,
% 0.41/0.58 (m2_relset_1(E!4, u1_struct_0(B!1), u1_struct_0(C!2))),
% 0.41/0.58 inference(and_elim,[status(thm)],[126])).
% 0.41/0.58 tff(128,plain,
% 0.41/0.58 ((~(m2_relset_1(E!4, u1_struct_0(B!1), u1_struct_0(C!2)) <=> m1_relset_1(E!4, u1_struct_0(B!1), u1_struct_0(C!2)))) | (~m2_relset_1(E!4, u1_struct_0(B!1), u1_struct_0(C!2))) | m1_relset_1(E!4, u1_struct_0(B!1), u1_struct_0(C!2))),
% 0.41/0.58 inference(tautology,[status(thm)],[])).
% 0.41/0.58 tff(129,plain,
% 0.41/0.58 ((~(m2_relset_1(E!4, u1_struct_0(B!1), u1_struct_0(C!2)) <=> m1_relset_1(E!4, u1_struct_0(B!1), u1_struct_0(C!2)))) | m1_relset_1(E!4, u1_struct_0(B!1), u1_struct_0(C!2))),
% 0.41/0.58 inference(unit_resolution,[status(thm)],[128, 127])).
% 0.41/0.58 tff(130,plain,
% 0.41/0.58 (m1_relset_1(E!4, u1_struct_0(B!1), u1_struct_0(C!2))),
% 0.41/0.58 inference(unit_resolution,[status(thm)],[129, 124])).
% 0.41/0.58 tff(131,plain,
% 0.41/0.58 (^[A: $i, B: $i, C: $i, D: $i, E: $i] : refl((v1_xboole_0(B) | (k7_funct_2(A, B, C, D, E) = k5_relat_1(D, E)) | (~v1_funct_1(E)) | (~v1_funct_1(D)) | (~v1_funct_2(D, A, B)) | (~m1_relset_1(D, A, B)) | (~v1_funct_2(E, B, C)) | (~m1_relset_1(E, B, C))) <=> (v1_xboole_0(B) | (k7_funct_2(A, B, C, D, E) = k5_relat_1(D, E)) | (~v1_funct_1(E)) | (~v1_funct_1(D)) | (~v1_funct_2(D, A, B)) | (~m1_relset_1(D, A, B)) | (~v1_funct_2(E, B, C)) | (~m1_relset_1(E, B, C))))),
% 0.41/0.58 inference(bind,[status(th)],[])).
% 0.41/0.58 tff(132,plain,
% 0.41/0.58 (![A: $i, B: $i, C: $i, D: $i, E: $i] : (v1_xboole_0(B) | (k7_funct_2(A, B, C, D, E) = k5_relat_1(D, E)) | (~v1_funct_1(E)) | (~v1_funct_1(D)) | (~v1_funct_2(D, A, B)) | (~m1_relset_1(D, A, B)) | (~v1_funct_2(E, B, C)) | (~m1_relset_1(E, B, C))) <=> ![A: $i, B: $i, C: $i, D: $i, E: $i] : (v1_xboole_0(B) | (k7_funct_2(A, B, C, D, E) = k5_relat_1(D, E)) | (~v1_funct_1(E)) | (~v1_funct_1(D)) | (~v1_funct_2(D, A, B)) | (~m1_relset_1(D, A, B)) | (~v1_funct_2(E, B, C)) | (~m1_relset_1(E, B, C)))),
% 0.41/0.58 inference(quant_intro,[status(thm)],[131])).
% 0.41/0.58 tff(133,plain,
% 0.41/0.58 (^[A: $i, B: $i, C: $i, D: $i, E: $i] : trans(monotonicity(trans(monotonicity(rewrite(((~v1_xboole_0(B)) & v1_funct_1(D) & v1_funct_2(D, A, B) & m1_relset_1(D, A, B) & v1_funct_1(E) & v1_funct_2(E, B, C) & m1_relset_1(E, B, C)) <=> (~(v1_xboole_0(B) | (~v1_funct_1(E)) | (~v1_funct_1(D)) | (~v1_funct_2(D, A, B)) | (~m1_relset_1(D, A, B)) | (~v1_funct_2(E, B, C)) | (~m1_relset_1(E, B, C))))), ((~((~v1_xboole_0(B)) & v1_funct_1(D) & v1_funct_2(D, A, B) & m1_relset_1(D, A, B) & v1_funct_1(E) & v1_funct_2(E, B, C) & m1_relset_1(E, B, C))) <=> (~(~(v1_xboole_0(B) | (~v1_funct_1(E)) | (~v1_funct_1(D)) | (~v1_funct_2(D, A, B)) | (~m1_relset_1(D, A, B)) | (~v1_funct_2(E, B, C)) | (~m1_relset_1(E, B, C))))))), rewrite((~(~(v1_xboole_0(B) | (~v1_funct_1(E)) | (~v1_funct_1(D)) | (~v1_funct_2(D, A, B)) | (~m1_relset_1(D, A, B)) | (~v1_funct_2(E, B, C)) | (~m1_relset_1(E, B, C))))) <=> (v1_xboole_0(B) | (~v1_funct_1(E)) | (~v1_funct_1(D)) | (~v1_funct_2(D, A, B)) | (~m1_relset_1(D, A, B)) | (~v1_funct_2(E, B, C)) | (~m1_relset_1(E, B, C)))), ((~((~v1_xboole_0(B)) & v1_funct_1(D) & v1_funct_2(D, A, B) & m1_relset_1(D, A, B) & v1_funct_1(E) & v1_funct_2(E, B, C) & m1_relset_1(E, B, C))) <=> (v1_xboole_0(B) | (~v1_funct_1(E)) | (~v1_funct_1(D)) | (~v1_funct_2(D, A, B)) | (~m1_relset_1(D, A, B)) | (~v1_funct_2(E, B, C)) | (~m1_relset_1(E, B, C))))), (((~((~v1_xboole_0(B)) & v1_funct_1(D) & v1_funct_2(D, A, B) & m1_relset_1(D, A, B) & v1_funct_1(E) & v1_funct_2(E, B, C) & m1_relset_1(E, B, C))) | (k7_funct_2(A, B, C, D, E) = k5_relat_1(D, E))) <=> ((v1_xboole_0(B) | (~v1_funct_1(E)) | (~v1_funct_1(D)) | (~v1_funct_2(D, A, B)) | (~m1_relset_1(D, A, B)) | (~v1_funct_2(E, B, C)) | (~m1_relset_1(E, B, C))) | (k7_funct_2(A, B, C, D, E) = k5_relat_1(D, E))))), rewrite(((v1_xboole_0(B) | (~v1_funct_1(E)) | (~v1_funct_1(D)) | (~v1_funct_2(D, A, B)) | (~m1_relset_1(D, A, B)) | (~v1_funct_2(E, B, C)) | (~m1_relset_1(E, B, C))) | (k7_funct_2(A, B, C, D, E) = k5_relat_1(D, E))) <=> (v1_xboole_0(B) | (k7_funct_2(A, B, C, D, E) = k5_relat_1(D, E)) | (~v1_funct_1(E)) | (~v1_funct_1(D)) | (~v1_funct_2(D, A, B)) | (~m1_relset_1(D, A, B)) | (~v1_funct_2(E, B, C)) | (~m1_relset_1(E, B, C)))), (((~((~v1_xboole_0(B)) & v1_funct_1(D) & v1_funct_2(D, A, B) & m1_relset_1(D, A, B) & v1_funct_1(E) & v1_funct_2(E, B, C) & m1_relset_1(E, B, C))) | (k7_funct_2(A, B, C, D, E) = k5_relat_1(D, E))) <=> (v1_xboole_0(B) | (k7_funct_2(A, B, C, D, E) = k5_relat_1(D, E)) | (~v1_funct_1(E)) | (~v1_funct_1(D)) | (~v1_funct_2(D, A, B)) | (~m1_relset_1(D, A, B)) | (~v1_funct_2(E, B, C)) | (~m1_relset_1(E, B, C)))))),
% 0.41/0.58 inference(bind,[status(th)],[])).
% 0.41/0.58 tff(134,plain,
% 0.41/0.58 (![A: $i, B: $i, C: $i, D: $i, E: $i] : ((~((~v1_xboole_0(B)) & v1_funct_1(D) & v1_funct_2(D, A, B) & m1_relset_1(D, A, B) & v1_funct_1(E) & v1_funct_2(E, B, C) & m1_relset_1(E, B, C))) | (k7_funct_2(A, B, C, D, E) = k5_relat_1(D, E))) <=> ![A: $i, B: $i, C: $i, D: $i, E: $i] : (v1_xboole_0(B) | (k7_funct_2(A, B, C, D, E) = k5_relat_1(D, E)) | (~v1_funct_1(E)) | (~v1_funct_1(D)) | (~v1_funct_2(D, A, B)) | (~m1_relset_1(D, A, B)) | (~v1_funct_2(E, B, C)) | (~m1_relset_1(E, B, C)))),
% 0.41/0.58 inference(quant_intro,[status(thm)],[133])).
% 0.41/0.58 tff(135,plain,
% 0.41/0.58 (![A: $i, B: $i, C: $i, D: $i, E: $i] : ((~((~v1_xboole_0(B)) & v1_funct_1(D) & v1_funct_2(D, A, B) & m1_relset_1(D, A, B) & v1_funct_1(E) & v1_funct_2(E, B, C) & m1_relset_1(E, B, C))) | (k7_funct_2(A, B, C, D, E) = k5_relat_1(D, E))) <=> ![A: $i, B: $i, C: $i, D: $i, E: $i] : ((~((~v1_xboole_0(B)) & v1_funct_1(D) & v1_funct_2(D, A, B) & m1_relset_1(D, A, B) & v1_funct_1(E) & v1_funct_2(E, B, C) & m1_relset_1(E, B, C))) | (k7_funct_2(A, B, C, D, E) = k5_relat_1(D, E)))),
% 0.41/0.58 inference(rewrite,[status(thm)],[])).
% 0.41/0.58 tff(136,plain,
% 0.41/0.58 (^[A: $i, B: $i, C: $i, D: $i, E: $i] : trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(rewrite((((~v1_xboole_0(B)) & v1_funct_1(D)) & v1_funct_2(D, A, B)) <=> ((~v1_xboole_0(B)) & v1_funct_1(D) & v1_funct_2(D, A, B))), (((((~v1_xboole_0(B)) & v1_funct_1(D)) & v1_funct_2(D, A, B)) & m1_relset_1(D, A, B)) <=> (((~v1_xboole_0(B)) & v1_funct_1(D) & v1_funct_2(D, A, B)) & m1_relset_1(D, A, B)))), rewrite((((~v1_xboole_0(B)) & v1_funct_1(D) & v1_funct_2(D, A, B)) & m1_relset_1(D, A, B)) <=> ((~v1_xboole_0(B)) & v1_funct_1(D) & v1_funct_2(D, A, B) & m1_relset_1(D, A, B))), (((((~v1_xboole_0(B)) & v1_funct_1(D)) & v1_funct_2(D, A, B)) & m1_relset_1(D, A, B)) <=> ((~v1_xboole_0(B)) & v1_funct_1(D) & v1_funct_2(D, A, B) & m1_relset_1(D, A, B)))), ((((((~v1_xboole_0(B)) & v1_funct_1(D)) & v1_funct_2(D, A, B)) & m1_relset_1(D, A, B)) & v1_funct_1(E)) <=> (((~v1_xboole_0(B)) & v1_funct_1(D) & v1_funct_2(D, A, B) & m1_relset_1(D, A, B)) & v1_funct_1(E)))), rewrite((((~v1_xboole_0(B)) & v1_funct_1(D) & v1_funct_2(D, A, B) & m1_relset_1(D, A, B)) & v1_funct_1(E)) <=> ((~v1_xboole_0(B)) & v1_funct_1(D) & v1_funct_2(D, A, B) & m1_relset_1(D, A, B) & v1_funct_1(E))), ((((((~v1_xboole_0(B)) & v1_funct_1(D)) & v1_funct_2(D, A, B)) & m1_relset_1(D, A, B)) & v1_funct_1(E)) <=> ((~v1_xboole_0(B)) & v1_funct_1(D) & v1_funct_2(D, A, B) & m1_relset_1(D, A, B) & v1_funct_1(E)))), (((((((~v1_xboole_0(B)) & v1_funct_1(D)) & v1_funct_2(D, A, B)) & m1_relset_1(D, A, B)) & v1_funct_1(E)) & v1_funct_2(E, B, C)) <=> (((~v1_xboole_0(B)) & v1_funct_1(D) & v1_funct_2(D, A, B) & m1_relset_1(D, A, B) & v1_funct_1(E)) & v1_funct_2(E, B, C)))), rewrite((((~v1_xboole_0(B)) & v1_funct_1(D) & v1_funct_2(D, A, B) & m1_relset_1(D, A, B) & v1_funct_1(E)) & v1_funct_2(E, B, C)) <=> ((~v1_xboole_0(B)) & v1_funct_1(D) & v1_funct_2(D, A, B) & m1_relset_1(D, A, B) & v1_funct_1(E) & v1_funct_2(E, B, C))), (((((((~v1_xboole_0(B)) & v1_funct_1(D)) & v1_funct_2(D, A, B)) & m1_relset_1(D, A, B)) & v1_funct_1(E)) & v1_funct_2(E, B, C)) <=> ((~v1_xboole_0(B)) & v1_funct_1(D) & v1_funct_2(D, A, B) & m1_relset_1(D, A, B) & v1_funct_1(E) & v1_funct_2(E, B, C)))), ((((((((~v1_xboole_0(B)) & v1_funct_1(D)) & v1_funct_2(D, A, B)) & m1_relset_1(D, A, B)) & v1_funct_1(E)) & v1_funct_2(E, B, C)) & m1_relset_1(E, B, C)) <=> (((~v1_xboole_0(B)) & v1_funct_1(D) & v1_funct_2(D, A, B) & m1_relset_1(D, A, B) & v1_funct_1(E) & v1_funct_2(E, B, C)) & m1_relset_1(E, B, C)))), rewrite((((~v1_xboole_0(B)) & v1_funct_1(D) & v1_funct_2(D, A, B) & m1_relset_1(D, A, B) & v1_funct_1(E) & v1_funct_2(E, B, C)) & m1_relset_1(E, B, C)) <=> ((~v1_xboole_0(B)) & v1_funct_1(D) & v1_funct_2(D, A, B) & m1_relset_1(D, A, B) & v1_funct_1(E) & v1_funct_2(E, B, C) & m1_relset_1(E, B, C))), ((((((((~v1_xboole_0(B)) & v1_funct_1(D)) & v1_funct_2(D, A, B)) & m1_relset_1(D, A, B)) & v1_funct_1(E)) & v1_funct_2(E, B, C)) & m1_relset_1(E, B, C)) <=> ((~v1_xboole_0(B)) & v1_funct_1(D) & v1_funct_2(D, A, B) & m1_relset_1(D, A, B) & v1_funct_1(E) & v1_funct_2(E, B, C) & m1_relset_1(E, B, C)))), (((((((((~v1_xboole_0(B)) & v1_funct_1(D)) & v1_funct_2(D, A, B)) & m1_relset_1(D, A, B)) & v1_funct_1(E)) & v1_funct_2(E, B, C)) & m1_relset_1(E, B, C)) => (k7_funct_2(A, B, C, D, E) = k5_relat_1(D, E))) <=> (((~v1_xboole_0(B)) & v1_funct_1(D) & v1_funct_2(D, A, B) & m1_relset_1(D, A, B) & v1_funct_1(E) & v1_funct_2(E, B, C) & m1_relset_1(E, B, C)) => (k7_funct_2(A, B, C, D, E) = k5_relat_1(D, E))))), rewrite((((~v1_xboole_0(B)) & v1_funct_1(D) & v1_funct_2(D, A, B) & m1_relset_1(D, A, B) & v1_funct_1(E) & v1_funct_2(E, B, C) & m1_relset_1(E, B, C)) => (k7_funct_2(A, B, C, D, E) = k5_relat_1(D, E))) <=> ((~((~v1_xboole_0(B)) & v1_funct_1(D) & v1_funct_2(D, A, B) & m1_relset_1(D, A, B) & v1_funct_1(E) & v1_funct_2(E, B, C) & m1_relset_1(E, B, C))) | (k7_funct_2(A, B, C, D, E) = k5_relat_1(D, E)))), (((((((((~v1_xboole_0(B)) & v1_funct_1(D)) & v1_funct_2(D, A, B)) & m1_relset_1(D, A, B)) & v1_funct_1(E)) & v1_funct_2(E, B, C)) & m1_relset_1(E, B, C)) => (k7_funct_2(A, B, C, D, E) = k5_relat_1(D, E))) <=> ((~((~v1_xboole_0(B)) & v1_funct_1(D) & v1_funct_2(D, A, B) & m1_relset_1(D, A, B) & v1_funct_1(E) & v1_funct_2(E, B, C) & m1_relset_1(E, B, C))) | (k7_funct_2(A, B, C, D, E) = k5_relat_1(D, E)))))),
% 0.41/0.58 inference(bind,[status(th)],[])).
% 0.41/0.58 tff(137,plain,
% 0.41/0.58 (![A: $i, B: $i, C: $i, D: $i, E: $i] : ((((((((~v1_xboole_0(B)) & v1_funct_1(D)) & v1_funct_2(D, A, B)) & m1_relset_1(D, A, B)) & v1_funct_1(E)) & v1_funct_2(E, B, C)) & m1_relset_1(E, B, C)) => (k7_funct_2(A, B, C, D, E) = k5_relat_1(D, E))) <=> ![A: $i, B: $i, C: $i, D: $i, E: $i] : ((~((~v1_xboole_0(B)) & v1_funct_1(D) & v1_funct_2(D, A, B) & m1_relset_1(D, A, B) & v1_funct_1(E) & v1_funct_2(E, B, C) & m1_relset_1(E, B, C))) | (k7_funct_2(A, B, C, D, E) = k5_relat_1(D, E)))),
% 0.41/0.58 inference(quant_intro,[status(thm)],[136])).
% 0.41/0.58 tff(138,axiom,(![A: $i, B: $i, C: $i, D: $i, E: $i] : ((((((((~v1_xboole_0(B)) & v1_funct_1(D)) & v1_funct_2(D, A, B)) & m1_relset_1(D, A, B)) & v1_funct_1(E)) & v1_funct_2(E, B, C)) & m1_relset_1(E, B, C)) => (k7_funct_2(A, B, C, D, E) = k5_relat_1(D, E)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','redefinition_k7_funct_2')).
% 0.41/0.58 tff(139,plain,
% 0.41/0.58 (![A: $i, B: $i, C: $i, D: $i, E: $i] : ((~((~v1_xboole_0(B)) & v1_funct_1(D) & v1_funct_2(D, A, B) & m1_relset_1(D, A, B) & v1_funct_1(E) & v1_funct_2(E, B, C) & m1_relset_1(E, B, C))) | (k7_funct_2(A, B, C, D, E) = k5_relat_1(D, E)))),
% 0.41/0.58 inference(modus_ponens,[status(thm)],[138, 137])).
% 0.41/0.58 tff(140,plain,
% 0.41/0.58 (![A: $i, B: $i, C: $i, D: $i, E: $i] : ((~((~v1_xboole_0(B)) & v1_funct_1(D) & v1_funct_2(D, A, B) & m1_relset_1(D, A, B) & v1_funct_1(E) & v1_funct_2(E, B, C) & m1_relset_1(E, B, C))) | (k7_funct_2(A, B, C, D, E) = k5_relat_1(D, E)))),
% 0.41/0.58 inference(modus_ponens,[status(thm)],[139, 135])).
% 0.41/0.58 tff(141,plain,(
% 0.41/0.58 ![A: $i, B: $i, C: $i, D: $i, E: $i] : ((~((~v1_xboole_0(B)) & v1_funct_1(D) & v1_funct_2(D, A, B) & m1_relset_1(D, A, B) & v1_funct_1(E) & v1_funct_2(E, B, C) & m1_relset_1(E, B, C))) | (k7_funct_2(A, B, C, D, E) = k5_relat_1(D, E)))),
% 0.41/0.58 inference(skolemize,[status(sab)],[140])).
% 0.41/0.58 tff(142,plain,
% 0.41/0.58 (![A: $i, B: $i, C: $i, D: $i, E: $i] : (v1_xboole_0(B) | (k7_funct_2(A, B, C, D, E) = k5_relat_1(D, E)) | (~v1_funct_1(E)) | (~v1_funct_1(D)) | (~v1_funct_2(D, A, B)) | (~m1_relset_1(D, A, B)) | (~v1_funct_2(E, B, C)) | (~m1_relset_1(E, B, C)))),
% 0.41/0.58 inference(modus_ponens,[status(thm)],[141, 134])).
% 0.41/0.58 tff(143,plain,
% 0.41/0.58 (![A: $i, B: $i, C: $i, D: $i, E: $i] : (v1_xboole_0(B) | (k7_funct_2(A, B, C, D, E) = k5_relat_1(D, E)) | (~v1_funct_1(E)) | (~v1_funct_1(D)) | (~v1_funct_2(D, A, B)) | (~m1_relset_1(D, A, B)) | (~v1_funct_2(E, B, C)) | (~m1_relset_1(E, B, C)))),
% 0.41/0.58 inference(modus_ponens,[status(thm)],[142, 132])).
% 0.41/0.58 tff(144,plain,
% 0.41/0.58 (v1_funct_2(E!4, u1_struct_0(B!1), u1_struct_0(C!2))),
% 0.41/0.58 inference(and_elim,[status(thm)],[126])).
% 0.41/0.58 tff(145,plain,
% 0.41/0.58 (v1_funct_1(E!4)),
% 0.41/0.58 inference(and_elim,[status(thm)],[126])).
% 0.41/0.58 tff(146,plain,
% 0.41/0.58 (((~![A: $i, B: $i, C: $i, D: $i, E: $i] : (v1_xboole_0(B) | (k7_funct_2(A, B, C, D, E) = k5_relat_1(D, E)) | (~v1_funct_1(E)) | (~v1_funct_1(D)) | (~v1_funct_2(D, A, B)) | (~m1_relset_1(D, A, B)) | (~v1_funct_2(E, B, C)) | (~m1_relset_1(E, B, C)))) | ((~v1_funct_1(D!3)) | (~v1_funct_1(E!4)) | v1_xboole_0(u1_struct_0(B!1)) | (~v1_funct_2(D!3, u1_struct_0(A!0), u1_struct_0(B!1))) | (~m1_relset_1(D!3, u1_struct_0(A!0), u1_struct_0(B!1))) | (~v1_funct_2(E!4, u1_struct_0(B!1), u1_struct_0(C!2))) | (~m1_relset_1(E!4, u1_struct_0(B!1), u1_struct_0(C!2))) | (k7_funct_2(u1_struct_0(A!0), u1_struct_0(B!1), u1_struct_0(C!2), D!3, E!4) = k5_relat_1(D!3, E!4)))) <=> ((~![A: $i, B: $i, C: $i, D: $i, E: $i] : (v1_xboole_0(B) | (k7_funct_2(A, B, C, D, E) = k5_relat_1(D, E)) | (~v1_funct_1(E)) | (~v1_funct_1(D)) | (~v1_funct_2(D, A, B)) | (~m1_relset_1(D, A, B)) | (~v1_funct_2(E, B, C)) | (~m1_relset_1(E, B, C)))) | (~v1_funct_1(D!3)) | (~v1_funct_1(E!4)) | v1_xboole_0(u1_struct_0(B!1)) | (~v1_funct_2(D!3, u1_struct_0(A!0), u1_struct_0(B!1))) | (~m1_relset_1(D!3, u1_struct_0(A!0), u1_struct_0(B!1))) | (~v1_funct_2(E!4, u1_struct_0(B!1), u1_struct_0(C!2))) | (~m1_relset_1(E!4, u1_struct_0(B!1), u1_struct_0(C!2))) | (k7_funct_2(u1_struct_0(A!0), u1_struct_0(B!1), u1_struct_0(C!2), D!3, E!4) = k5_relat_1(D!3, E!4)))),
% 0.41/0.58 inference(rewrite,[status(thm)],[])).
% 0.41/0.58 tff(147,plain,
% 0.41/0.58 ((v1_xboole_0(u1_struct_0(B!1)) | (k7_funct_2(u1_struct_0(A!0), u1_struct_0(B!1), u1_struct_0(C!2), D!3, E!4) = k5_relat_1(D!3, E!4)) | (~v1_funct_1(E!4)) | (~v1_funct_1(D!3)) | (~v1_funct_2(D!3, u1_struct_0(A!0), u1_struct_0(B!1))) | (~m1_relset_1(D!3, u1_struct_0(A!0), u1_struct_0(B!1))) | (~v1_funct_2(E!4, u1_struct_0(B!1), u1_struct_0(C!2))) | (~m1_relset_1(E!4, u1_struct_0(B!1), u1_struct_0(C!2)))) <=> ((~v1_funct_1(D!3)) | (~v1_funct_1(E!4)) | v1_xboole_0(u1_struct_0(B!1)) | (~v1_funct_2(D!3, u1_struct_0(A!0), u1_struct_0(B!1))) | (~m1_relset_1(D!3, u1_struct_0(A!0), u1_struct_0(B!1))) | (~v1_funct_2(E!4, u1_struct_0(B!1), u1_struct_0(C!2))) | (~m1_relset_1(E!4, u1_struct_0(B!1), u1_struct_0(C!2))) | (k7_funct_2(u1_struct_0(A!0), u1_struct_0(B!1), u1_struct_0(C!2), D!3, E!4) = k5_relat_1(D!3, E!4)))),
% 0.41/0.58 inference(rewrite,[status(thm)],[])).
% 0.41/0.58 tff(148,plain,
% 0.41/0.58 (((~![A: $i, B: $i, C: $i, D: $i, E: $i] : (v1_xboole_0(B) | (k7_funct_2(A, B, C, D, E) = k5_relat_1(D, E)) | (~v1_funct_1(E)) | (~v1_funct_1(D)) | (~v1_funct_2(D, A, B)) | (~m1_relset_1(D, A, B)) | (~v1_funct_2(E, B, C)) | (~m1_relset_1(E, B, C)))) | (v1_xboole_0(u1_struct_0(B!1)) | (k7_funct_2(u1_struct_0(A!0), u1_struct_0(B!1), u1_struct_0(C!2), D!3, E!4) = k5_relat_1(D!3, E!4)) | (~v1_funct_1(E!4)) | (~v1_funct_1(D!3)) | (~v1_funct_2(D!3, u1_struct_0(A!0), u1_struct_0(B!1))) | (~m1_relset_1(D!3, u1_struct_0(A!0), u1_struct_0(B!1))) | (~v1_funct_2(E!4, u1_struct_0(B!1), u1_struct_0(C!2))) | (~m1_relset_1(E!4, u1_struct_0(B!1), u1_struct_0(C!2))))) <=> ((~![A: $i, B: $i, C: $i, D: $i, E: $i] : (v1_xboole_0(B) | (k7_funct_2(A, B, C, D, E) = k5_relat_1(D, E)) | (~v1_funct_1(E)) | (~v1_funct_1(D)) | (~v1_funct_2(D, A, B)) | (~m1_relset_1(D, A, B)) | (~v1_funct_2(E, B, C)) | (~m1_relset_1(E, B, C)))) | ((~v1_funct_1(D!3)) | (~v1_funct_1(E!4)) | v1_xboole_0(u1_struct_0(B!1)) | (~v1_funct_2(D!3, u1_struct_0(A!0), u1_struct_0(B!1))) | (~m1_relset_1(D!3, u1_struct_0(A!0), u1_struct_0(B!1))) | (~v1_funct_2(E!4, u1_struct_0(B!1), u1_struct_0(C!2))) | (~m1_relset_1(E!4, u1_struct_0(B!1), u1_struct_0(C!2))) | (k7_funct_2(u1_struct_0(A!0), u1_struct_0(B!1), u1_struct_0(C!2), D!3, E!4) = k5_relat_1(D!3, E!4))))),
% 0.41/0.58 inference(monotonicity,[status(thm)],[147])).
% 0.41/0.58 tff(149,plain,
% 0.41/0.58 (((~![A: $i, B: $i, C: $i, D: $i, E: $i] : (v1_xboole_0(B) | (k7_funct_2(A, B, C, D, E) = k5_relat_1(D, E)) | (~v1_funct_1(E)) | (~v1_funct_1(D)) | (~v1_funct_2(D, A, B)) | (~m1_relset_1(D, A, B)) | (~v1_funct_2(E, B, C)) | (~m1_relset_1(E, B, C)))) | (v1_xboole_0(u1_struct_0(B!1)) | (k7_funct_2(u1_struct_0(A!0), u1_struct_0(B!1), u1_struct_0(C!2), D!3, E!4) = k5_relat_1(D!3, E!4)) | (~v1_funct_1(E!4)) | (~v1_funct_1(D!3)) | (~v1_funct_2(D!3, u1_struct_0(A!0), u1_struct_0(B!1))) | (~m1_relset_1(D!3, u1_struct_0(A!0), u1_struct_0(B!1))) | (~v1_funct_2(E!4, u1_struct_0(B!1), u1_struct_0(C!2))) | (~m1_relset_1(E!4, u1_struct_0(B!1), u1_struct_0(C!2))))) <=> ((~![A: $i, B: $i, C: $i, D: $i, E: $i] : (v1_xboole_0(B) | (k7_funct_2(A, B, C, D, E) = k5_relat_1(D, E)) | (~v1_funct_1(E)) | (~v1_funct_1(D)) | (~v1_funct_2(D, A, B)) | (~m1_relset_1(D, A, B)) | (~v1_funct_2(E, B, C)) | (~m1_relset_1(E, B, C)))) | (~v1_funct_1(D!3)) | (~v1_funct_1(E!4)) | v1_xboole_0(u1_struct_0(B!1)) | (~v1_funct_2(D!3, u1_struct_0(A!0), u1_struct_0(B!1))) | (~m1_relset_1(D!3, u1_struct_0(A!0), u1_struct_0(B!1))) | (~v1_funct_2(E!4, u1_struct_0(B!1), u1_struct_0(C!2))) | (~m1_relset_1(E!4, u1_struct_0(B!1), u1_struct_0(C!2))) | (k7_funct_2(u1_struct_0(A!0), u1_struct_0(B!1), u1_struct_0(C!2), D!3, E!4) = k5_relat_1(D!3, E!4)))),
% 0.41/0.58 inference(transitivity,[status(thm)],[148, 146])).
% 0.41/0.58 tff(150,plain,
% 0.41/0.58 ((~![A: $i, B: $i, C: $i, D: $i, E: $i] : (v1_xboole_0(B) | (k7_funct_2(A, B, C, D, E) = k5_relat_1(D, E)) | (~v1_funct_1(E)) | (~v1_funct_1(D)) | (~v1_funct_2(D, A, B)) | (~m1_relset_1(D, A, B)) | (~v1_funct_2(E, B, C)) | (~m1_relset_1(E, B, C)))) | (v1_xboole_0(u1_struct_0(B!1)) | (k7_funct_2(u1_struct_0(A!0), u1_struct_0(B!1), u1_struct_0(C!2), D!3, E!4) = k5_relat_1(D!3, E!4)) | (~v1_funct_1(E!4)) | (~v1_funct_1(D!3)) | (~v1_funct_2(D!3, u1_struct_0(A!0), u1_struct_0(B!1))) | (~m1_relset_1(D!3, u1_struct_0(A!0), u1_struct_0(B!1))) | (~v1_funct_2(E!4, u1_struct_0(B!1), u1_struct_0(C!2))) | (~m1_relset_1(E!4, u1_struct_0(B!1), u1_struct_0(C!2))))),
% 0.41/0.58 inference(quant_inst,[status(thm)],[])).
% 0.41/0.58 tff(151,plain,
% 0.41/0.58 ((~![A: $i, B: $i, C: $i, D: $i, E: $i] : (v1_xboole_0(B) | (k7_funct_2(A, B, C, D, E) = k5_relat_1(D, E)) | (~v1_funct_1(E)) | (~v1_funct_1(D)) | (~v1_funct_2(D, A, B)) | (~m1_relset_1(D, A, B)) | (~v1_funct_2(E, B, C)) | (~m1_relset_1(E, B, C)))) | (~v1_funct_1(D!3)) | (~v1_funct_1(E!4)) | v1_xboole_0(u1_struct_0(B!1)) | (~v1_funct_2(D!3, u1_struct_0(A!0), u1_struct_0(B!1))) | (~m1_relset_1(D!3, u1_struct_0(A!0), u1_struct_0(B!1))) | (~v1_funct_2(E!4, u1_struct_0(B!1), u1_struct_0(C!2))) | (~m1_relset_1(E!4, u1_struct_0(B!1), u1_struct_0(C!2))) | (k7_funct_2(u1_struct_0(A!0), u1_struct_0(B!1), u1_struct_0(C!2), D!3, E!4) = k5_relat_1(D!3, E!4))),
% 0.41/0.59 inference(modus_ponens,[status(thm)],[150, 149])).
% 0.41/0.59 tff(152,plain,
% 0.41/0.59 (v1_xboole_0(u1_struct_0(B!1)) | (~m1_relset_1(D!3, u1_struct_0(A!0), u1_struct_0(B!1))) | (~m1_relset_1(E!4, u1_struct_0(B!1), u1_struct_0(C!2))) | (k7_funct_2(u1_struct_0(A!0), u1_struct_0(B!1), u1_struct_0(C!2), D!3, E!4) = k5_relat_1(D!3, E!4))),
% 0.41/0.59 inference(unit_resolution,[status(thm)],[151, 69, 68, 145, 144, 143])).
% 0.41/0.59 tff(153,plain,
% 0.41/0.59 (k7_funct_2(u1_struct_0(A!0), u1_struct_0(B!1), u1_struct_0(C!2), D!3, E!4) = k5_relat_1(D!3, E!4)),
% 0.41/0.59 inference(unit_resolution,[status(thm)],[152, 34, 130, 122])).
% 0.41/0.59 tff(154,plain,
% 0.41/0.59 (r4_waybel_0(A!0, C!2, k7_funct_2(u1_struct_0(A!0), u1_struct_0(B!1), u1_struct_0(C!2), D!3, E!4), tptp_fun_D_5(k5_relat_1(D!3, E!4), C!2, A!0)) <=> r4_waybel_0(A!0, C!2, k5_relat_1(D!3, E!4), tptp_fun_D_5(k5_relat_1(D!3, E!4), C!2, A!0))),
% 0.41/0.59 inference(monotonicity,[status(thm)],[153])).
% 0.41/0.59 tff(155,plain,
% 0.41/0.59 (r4_waybel_0(A!0, C!2, k5_relat_1(D!3, E!4), tptp_fun_D_5(k5_relat_1(D!3, E!4), C!2, A!0)) <=> r4_waybel_0(A!0, C!2, k7_funct_2(u1_struct_0(A!0), u1_struct_0(B!1), u1_struct_0(C!2), D!3, E!4), tptp_fun_D_5(k5_relat_1(D!3, E!4), C!2, A!0))),
% 0.41/0.59 inference(symmetry,[status(thm)],[154])).
% 0.41/0.59 tff(156,plain,
% 0.41/0.59 ((~r4_waybel_0(A!0, C!2, k5_relat_1(D!3, E!4), tptp_fun_D_5(k5_relat_1(D!3, E!4), C!2, A!0))) <=> (~r4_waybel_0(A!0, C!2, k7_funct_2(u1_struct_0(A!0), u1_struct_0(B!1), u1_struct_0(C!2), D!3, E!4), tptp_fun_D_5(k5_relat_1(D!3, E!4), C!2, A!0)))),
% 0.41/0.59 inference(monotonicity,[status(thm)],[155])).
% 0.41/0.59 tff(157,plain,
% 0.41/0.59 (k5_relat_1(D!3, E!4) = k7_funct_2(u1_struct_0(A!0), u1_struct_0(B!1), u1_struct_0(C!2), D!3, E!4)),
% 0.41/0.59 inference(symmetry,[status(thm)],[153])).
% 0.41/0.59 tff(158,plain,
% 0.41/0.59 (v4_waybel34(k5_relat_1(D!3, E!4), A!0, C!2) <=> v4_waybel34(k7_funct_2(u1_struct_0(A!0), u1_struct_0(B!1), u1_struct_0(C!2), D!3, E!4), A!0, C!2)),
% 0.41/0.59 inference(monotonicity,[status(thm)],[157])).
% 0.41/0.59 tff(159,plain,
% 0.41/0.59 (v4_waybel34(k7_funct_2(u1_struct_0(A!0), u1_struct_0(B!1), u1_struct_0(C!2), D!3, E!4), A!0, C!2) <=> v4_waybel34(k5_relat_1(D!3, E!4), A!0, C!2)),
% 0.41/0.59 inference(symmetry,[status(thm)],[158])).
% 0.41/0.59 tff(160,plain,
% 0.41/0.59 ((~v4_waybel34(k7_funct_2(u1_struct_0(A!0), u1_struct_0(B!1), u1_struct_0(C!2), D!3, E!4), A!0, C!2)) <=> (~v4_waybel34(k5_relat_1(D!3, E!4), A!0, C!2))),
% 0.41/0.59 inference(monotonicity,[status(thm)],[159])).
% 0.41/0.59 tff(161,plain,
% 0.41/0.59 (~v4_waybel34(k7_funct_2(u1_struct_0(A!0), u1_struct_0(B!1), u1_struct_0(C!2), D!3, E!4), A!0, C!2)),
% 0.41/0.59 inference(or_elim,[status(thm)],[125])).
% 0.41/0.59 tff(162,plain,
% 0.41/0.59 (~v4_waybel34(k5_relat_1(D!3, E!4), A!0, C!2)),
% 0.41/0.59 inference(modus_ponens,[status(thm)],[161, 160])).
% 0.41/0.59 tff(163,plain,
% 0.41/0.59 (v1_funct_2(k5_relat_1(D!3, E!4), u1_struct_0(A!0), u1_struct_0(C!2)) <=> v1_funct_2(k7_funct_2(u1_struct_0(A!0), u1_struct_0(B!1), u1_struct_0(C!2), D!3, E!4), u1_struct_0(A!0), u1_struct_0(C!2))),
% 0.41/0.59 inference(monotonicity,[status(thm)],[157])).
% 0.41/0.59 tff(164,plain,
% 0.41/0.59 (v1_funct_2(k7_funct_2(u1_struct_0(A!0), u1_struct_0(B!1), u1_struct_0(C!2), D!3, E!4), u1_struct_0(A!0), u1_struct_0(C!2)) <=> v1_funct_2(k5_relat_1(D!3, E!4), u1_struct_0(A!0), u1_struct_0(C!2))),
% 0.41/0.59 inference(symmetry,[status(thm)],[163])).
% 0.41/0.59 tff(165,plain,
% 0.41/0.59 (^[A: $i, B: $i, C: $i, D: $i, E: $i] : refl((v1_xboole_0(B) | (~v1_funct_1(E)) | (~v1_funct_1(D)) | (~v1_funct_2(D, A, B)) | (~m1_relset_1(D, A, B)) | (~v1_funct_2(E, B, C)) | (~m1_relset_1(E, B, C)) | (~((~v1_funct_1(k7_funct_2(A, B, C, D, E))) | (~v1_funct_2(k7_funct_2(A, B, C, D, E), A, C)) | (~m2_relset_1(k7_funct_2(A, B, C, D, E), A, C))))) <=> (v1_xboole_0(B) | (~v1_funct_1(E)) | (~v1_funct_1(D)) | (~v1_funct_2(D, A, B)) | (~m1_relset_1(D, A, B)) | (~v1_funct_2(E, B, C)) | (~m1_relset_1(E, B, C)) | (~((~v1_funct_1(k7_funct_2(A, B, C, D, E))) | (~v1_funct_2(k7_funct_2(A, B, C, D, E), A, C)) | (~m2_relset_1(k7_funct_2(A, B, C, D, E), A, C))))))),
% 0.41/0.59 inference(bind,[status(th)],[])).
% 0.41/0.59 tff(166,plain,
% 0.41/0.59 (![A: $i, B: $i, C: $i, D: $i, E: $i] : (v1_xboole_0(B) | (~v1_funct_1(E)) | (~v1_funct_1(D)) | (~v1_funct_2(D, A, B)) | (~m1_relset_1(D, A, B)) | (~v1_funct_2(E, B, C)) | (~m1_relset_1(E, B, C)) | (~((~v1_funct_1(k7_funct_2(A, B, C, D, E))) | (~v1_funct_2(k7_funct_2(A, B, C, D, E), A, C)) | (~m2_relset_1(k7_funct_2(A, B, C, D, E), A, C))))) <=> ![A: $i, B: $i, C: $i, D: $i, E: $i] : (v1_xboole_0(B) | (~v1_funct_1(E)) | (~v1_funct_1(D)) | (~v1_funct_2(D, A, B)) | (~m1_relset_1(D, A, B)) | (~v1_funct_2(E, B, C)) | (~m1_relset_1(E, B, C)) | (~((~v1_funct_1(k7_funct_2(A, B, C, D, E))) | (~v1_funct_2(k7_funct_2(A, B, C, D, E), A, C)) | (~m2_relset_1(k7_funct_2(A, B, C, D, E), A, C)))))),
% 0.41/0.59 inference(quant_intro,[status(thm)],[165])).
% 0.41/0.59 tff(167,plain,
% 0.41/0.59 (^[A: $i, B: $i, C: $i, D: $i, E: $i] : trans(monotonicity(trans(monotonicity(rewrite(((~v1_xboole_0(B)) & v1_funct_1(D) & v1_funct_2(D, A, B) & m1_relset_1(D, A, B) & v1_funct_1(E) & v1_funct_2(E, B, C) & m1_relset_1(E, B, C)) <=> (~(v1_xboole_0(B) | (~v1_funct_1(E)) | (~v1_funct_1(D)) | (~v1_funct_2(D, A, B)) | (~m1_relset_1(D, A, B)) | (~v1_funct_2(E, B, C)) | (~m1_relset_1(E, B, C))))), ((~((~v1_xboole_0(B)) & v1_funct_1(D) & v1_funct_2(D, A, B) & m1_relset_1(D, A, B) & v1_funct_1(E) & v1_funct_2(E, B, C) & m1_relset_1(E, B, C))) <=> (~(~(v1_xboole_0(B) | (~v1_funct_1(E)) | (~v1_funct_1(D)) | (~v1_funct_2(D, A, B)) | (~m1_relset_1(D, A, B)) | (~v1_funct_2(E, B, C)) | (~m1_relset_1(E, B, C))))))), rewrite((~(~(v1_xboole_0(B) | (~v1_funct_1(E)) | (~v1_funct_1(D)) | (~v1_funct_2(D, A, B)) | (~m1_relset_1(D, A, B)) | (~v1_funct_2(E, B, C)) | (~m1_relset_1(E, B, C))))) <=> (v1_xboole_0(B) | (~v1_funct_1(E)) | (~v1_funct_1(D)) | (~v1_funct_2(D, A, B)) | (~m1_relset_1(D, A, B)) | (~v1_funct_2(E, B, C)) | (~m1_relset_1(E, B, C)))), ((~((~v1_xboole_0(B)) & v1_funct_1(D) & v1_funct_2(D, A, B) & m1_relset_1(D, A, B) & v1_funct_1(E) & v1_funct_2(E, B, C) & m1_relset_1(E, B, C))) <=> (v1_xboole_0(B) | (~v1_funct_1(E)) | (~v1_funct_1(D)) | (~v1_funct_2(D, A, B)) | (~m1_relset_1(D, A, B)) | (~v1_funct_2(E, B, C)) | (~m1_relset_1(E, B, C))))), rewrite((v1_funct_1(k7_funct_2(A, B, C, D, E)) & v1_funct_2(k7_funct_2(A, B, C, D, E), A, C) & m2_relset_1(k7_funct_2(A, B, C, D, E), A, C)) <=> (~((~v1_funct_1(k7_funct_2(A, B, C, D, E))) | (~v1_funct_2(k7_funct_2(A, B, C, D, E), A, C)) | (~m2_relset_1(k7_funct_2(A, B, C, D, E), A, C))))), (((~((~v1_xboole_0(B)) & v1_funct_1(D) & v1_funct_2(D, A, B) & m1_relset_1(D, A, B) & v1_funct_1(E) & v1_funct_2(E, B, C) & m1_relset_1(E, B, C))) | (v1_funct_1(k7_funct_2(A, B, C, D, E)) & v1_funct_2(k7_funct_2(A, B, C, D, E), A, C) & m2_relset_1(k7_funct_2(A, B, C, D, E), A, C))) <=> ((v1_xboole_0(B) | (~v1_funct_1(E)) | (~v1_funct_1(D)) | (~v1_funct_2(D, A, B)) | (~m1_relset_1(D, A, B)) | (~v1_funct_2(E, B, C)) | (~m1_relset_1(E, B, C))) | (~((~v1_funct_1(k7_funct_2(A, B, C, D, E))) | (~v1_funct_2(k7_funct_2(A, B, C, D, E), A, C)) | (~m2_relset_1(k7_funct_2(A, B, C, D, E), A, C))))))), rewrite(((v1_xboole_0(B) | (~v1_funct_1(E)) | (~v1_funct_1(D)) | (~v1_funct_2(D, A, B)) | (~m1_relset_1(D, A, B)) | (~v1_funct_2(E, B, C)) | (~m1_relset_1(E, B, C))) | (~((~v1_funct_1(k7_funct_2(A, B, C, D, E))) | (~v1_funct_2(k7_funct_2(A, B, C, D, E), A, C)) | (~m2_relset_1(k7_funct_2(A, B, C, D, E), A, C))))) <=> (v1_xboole_0(B) | (~v1_funct_1(E)) | (~v1_funct_1(D)) | (~v1_funct_2(D, A, B)) | (~m1_relset_1(D, A, B)) | (~v1_funct_2(E, B, C)) | (~m1_relset_1(E, B, C)) | (~((~v1_funct_1(k7_funct_2(A, B, C, D, E))) | (~v1_funct_2(k7_funct_2(A, B, C, D, E), A, C)) | (~m2_relset_1(k7_funct_2(A, B, C, D, E), A, C)))))), (((~((~v1_xboole_0(B)) & v1_funct_1(D) & v1_funct_2(D, A, B) & m1_relset_1(D, A, B) & v1_funct_1(E) & v1_funct_2(E, B, C) & m1_relset_1(E, B, C))) | (v1_funct_1(k7_funct_2(A, B, C, D, E)) & v1_funct_2(k7_funct_2(A, B, C, D, E), A, C) & m2_relset_1(k7_funct_2(A, B, C, D, E), A, C))) <=> (v1_xboole_0(B) | (~v1_funct_1(E)) | (~v1_funct_1(D)) | (~v1_funct_2(D, A, B)) | (~m1_relset_1(D, A, B)) | (~v1_funct_2(E, B, C)) | (~m1_relset_1(E, B, C)) | (~((~v1_funct_1(k7_funct_2(A, B, C, D, E))) | (~v1_funct_2(k7_funct_2(A, B, C, D, E), A, C)) | (~m2_relset_1(k7_funct_2(A, B, C, D, E), A, C)))))))),
% 0.41/0.59 inference(bind,[status(th)],[])).
% 0.41/0.59 tff(168,plain,
% 0.41/0.59 (![A: $i, B: $i, C: $i, D: $i, E: $i] : ((~((~v1_xboole_0(B)) & v1_funct_1(D) & v1_funct_2(D, A, B) & m1_relset_1(D, A, B) & v1_funct_1(E) & v1_funct_2(E, B, C) & m1_relset_1(E, B, C))) | (v1_funct_1(k7_funct_2(A, B, C, D, E)) & v1_funct_2(k7_funct_2(A, B, C, D, E), A, C) & m2_relset_1(k7_funct_2(A, B, C, D, E), A, C))) <=> ![A: $i, B: $i, C: $i, D: $i, E: $i] : (v1_xboole_0(B) | (~v1_funct_1(E)) | (~v1_funct_1(D)) | (~v1_funct_2(D, A, B)) | (~m1_relset_1(D, A, B)) | (~v1_funct_2(E, B, C)) | (~m1_relset_1(E, B, C)) | (~((~v1_funct_1(k7_funct_2(A, B, C, D, E))) | (~v1_funct_2(k7_funct_2(A, B, C, D, E), A, C)) | (~m2_relset_1(k7_funct_2(A, B, C, D, E), A, C)))))),
% 0.41/0.59 inference(quant_intro,[status(thm)],[167])).
% 0.41/0.59 tff(169,plain,
% 0.41/0.59 (![A: $i, B: $i, C: $i, D: $i, E: $i] : ((~((~v1_xboole_0(B)) & v1_funct_1(D) & v1_funct_2(D, A, B) & m1_relset_1(D, A, B) & v1_funct_1(E) & v1_funct_2(E, B, C) & m1_relset_1(E, B, C))) | (v1_funct_1(k7_funct_2(A, B, C, D, E)) & v1_funct_2(k7_funct_2(A, B, C, D, E), A, C) & m2_relset_1(k7_funct_2(A, B, C, D, E), A, C))) <=> ![A: $i, B: $i, C: $i, D: $i, E: $i] : ((~((~v1_xboole_0(B)) & v1_funct_1(D) & v1_funct_2(D, A, B) & m1_relset_1(D, A, B) & v1_funct_1(E) & v1_funct_2(E, B, C) & m1_relset_1(E, B, C))) | (v1_funct_1(k7_funct_2(A, B, C, D, E)) & v1_funct_2(k7_funct_2(A, B, C, D, E), A, C) & m2_relset_1(k7_funct_2(A, B, C, D, E), A, C)))),
% 0.41/0.59 inference(rewrite,[status(thm)],[])).
% 0.41/0.59 tff(170,plain,
% 0.41/0.59 (^[A: $i, B: $i, C: $i, D: $i, E: $i] : trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(rewrite((((~v1_xboole_0(B)) & v1_funct_1(D)) & v1_funct_2(D, A, B)) <=> ((~v1_xboole_0(B)) & v1_funct_1(D) & v1_funct_2(D, A, B))), (((((~v1_xboole_0(B)) & v1_funct_1(D)) & v1_funct_2(D, A, B)) & m1_relset_1(D, A, B)) <=> (((~v1_xboole_0(B)) & v1_funct_1(D) & v1_funct_2(D, A, B)) & m1_relset_1(D, A, B)))), rewrite((((~v1_xboole_0(B)) & v1_funct_1(D) & v1_funct_2(D, A, B)) & m1_relset_1(D, A, B)) <=> ((~v1_xboole_0(B)) & v1_funct_1(D) & v1_funct_2(D, A, B) & m1_relset_1(D, A, B))), (((((~v1_xboole_0(B)) & v1_funct_1(D)) & v1_funct_2(D, A, B)) & m1_relset_1(D, A, B)) <=> ((~v1_xboole_0(B)) & v1_funct_1(D) & v1_funct_2(D, A, B) & m1_relset_1(D, A, B)))), ((((((~v1_xboole_0(B)) & v1_funct_1(D)) & v1_funct_2(D, A, B)) & m1_relset_1(D, A, B)) & v1_funct_1(E)) <=> (((~v1_xboole_0(B)) & v1_funct_1(D) & v1_funct_2(D, A, B) & m1_relset_1(D, A, B)) & v1_funct_1(E)))), rewrite((((~v1_xboole_0(B)) & v1_funct_1(D) & v1_funct_2(D, A, B) & m1_relset_1(D, A, B)) & v1_funct_1(E)) <=> ((~v1_xboole_0(B)) & v1_funct_1(D) & v1_funct_2(D, A, B) & m1_relset_1(D, A, B) & v1_funct_1(E))), ((((((~v1_xboole_0(B)) & v1_funct_1(D)) & v1_funct_2(D, A, B)) & m1_relset_1(D, A, B)) & v1_funct_1(E)) <=> ((~v1_xboole_0(B)) & v1_funct_1(D) & v1_funct_2(D, A, B) & m1_relset_1(D, A, B) & v1_funct_1(E)))), (((((((~v1_xboole_0(B)) & v1_funct_1(D)) & v1_funct_2(D, A, B)) & m1_relset_1(D, A, B)) & v1_funct_1(E)) & v1_funct_2(E, B, C)) <=> (((~v1_xboole_0(B)) & v1_funct_1(D) & v1_funct_2(D, A, B) & m1_relset_1(D, A, B) & v1_funct_1(E)) & v1_funct_2(E, B, C)))), rewrite((((~v1_xboole_0(B)) & v1_funct_1(D) & v1_funct_2(D, A, B) & m1_relset_1(D, A, B) & v1_funct_1(E)) & v1_funct_2(E, B, C)) <=> ((~v1_xboole_0(B)) & v1_funct_1(D) & v1_funct_2(D, A, B) & m1_relset_1(D, A, B) & v1_funct_1(E) & v1_funct_2(E, B, C))), (((((((~v1_xboole_0(B)) & v1_funct_1(D)) & v1_funct_2(D, A, B)) & m1_relset_1(D, A, B)) & v1_funct_1(E)) & v1_funct_2(E, B, C)) <=> ((~v1_xboole_0(B)) & v1_funct_1(D) & v1_funct_2(D, A, B) & m1_relset_1(D, A, B) & v1_funct_1(E) & v1_funct_2(E, B, C)))), ((((((((~v1_xboole_0(B)) & v1_funct_1(D)) & v1_funct_2(D, A, B)) & m1_relset_1(D, A, B)) & v1_funct_1(E)) & v1_funct_2(E, B, C)) & m1_relset_1(E, B, C)) <=> (((~v1_xboole_0(B)) & v1_funct_1(D) & v1_funct_2(D, A, B) & m1_relset_1(D, A, B) & v1_funct_1(E) & v1_funct_2(E, B, C)) & m1_relset_1(E, B, C)))), rewrite((((~v1_xboole_0(B)) & v1_funct_1(D) & v1_funct_2(D, A, B) & m1_relset_1(D, A, B) & v1_funct_1(E) & v1_funct_2(E, B, C)) & m1_relset_1(E, B, C)) <=> ((~v1_xboole_0(B)) & v1_funct_1(D) & v1_funct_2(D, A, B) & m1_relset_1(D, A, B) & v1_funct_1(E) & v1_funct_2(E, B, C) & m1_relset_1(E, B, C))), ((((((((~v1_xboole_0(B)) & v1_funct_1(D)) & v1_funct_2(D, A, B)) & m1_relset_1(D, A, B)) & v1_funct_1(E)) & v1_funct_2(E, B, C)) & m1_relset_1(E, B, C)) <=> ((~v1_xboole_0(B)) & v1_funct_1(D) & v1_funct_2(D, A, B) & m1_relset_1(D, A, B) & v1_funct_1(E) & v1_funct_2(E, B, C) & m1_relset_1(E, B, C)))), rewrite(((v1_funct_1(k7_funct_2(A, B, C, D, E)) & v1_funct_2(k7_funct_2(A, B, C, D, E), A, C)) & m2_relset_1(k7_funct_2(A, B, C, D, E), A, C)) <=> (v1_funct_1(k7_funct_2(A, B, C, D, E)) & v1_funct_2(k7_funct_2(A, B, C, D, E), A, C) & m2_relset_1(k7_funct_2(A, B, C, D, E), A, C))), (((((((((~v1_xboole_0(B)) & v1_funct_1(D)) & v1_funct_2(D, A, B)) & m1_relset_1(D, A, B)) & v1_funct_1(E)) & v1_funct_2(E, B, C)) & m1_relset_1(E, B, C)) => ((v1_funct_1(k7_funct_2(A, B, C, D, E)) & v1_funct_2(k7_funct_2(A, B, C, D, E), A, C)) & m2_relset_1(k7_funct_2(A, B, C, D, E), A, C))) <=> (((~v1_xboole_0(B)) & v1_funct_1(D) & v1_funct_2(D, A, B) & m1_relset_1(D, A, B) & v1_funct_1(E) & v1_funct_2(E, B, C) & m1_relset_1(E, B, C)) => (v1_funct_1(k7_funct_2(A, B, C, D, E)) & v1_funct_2(k7_funct_2(A, B, C, D, E), A, C) & m2_relset_1(k7_funct_2(A, B, C, D, E), A, C))))), rewrite((((~v1_xboole_0(B)) & v1_funct_1(D) & v1_funct_2(D, A, B) & m1_relset_1(D, A, B) & v1_funct_1(E) & v1_funct_2(E, B, C) & m1_relset_1(E, B, C)) => (v1_funct_1(k7_funct_2(A, B, C, D, E)) & v1_funct_2(k7_funct_2(A, B, C, D, E), A, C) & m2_relset_1(k7_funct_2(A, B, C, D, E), A, C))) <=> ((~((~v1_xboole_0(B)) & v1_funct_1(D) & v1_funct_2(D, A, B) & m1_relset_1(D, A, B) & v1_funct_1(E) & v1_funct_2(E, B, C) & m1_relset_1(E, B, C))) | (v1_funct_1(k7_funct_2(A, B, C, D, E)) & v1_funct_2(k7_funct_2(A, B, C, D, E), A, C) & m2_relset_1(k7_funct_2(A, B, C, D, E), A, C)))), (((((((((~v1_xboole_0(B)) & v1_funct_1(D)) & v1_funct_2(D, A, B)) & m1_relset_1(D, A, B)) & v1_funct_1(E)) & v1_funct_2(E, B, C)) & m1_relset_1(E, B, C)) => ((v1_funct_1(k7_funct_2(A, B, C, D, E)) & v1_funct_2(k7_funct_2(A, B, C, D, E), A, C)) & m2_relset_1(k7_funct_2(A, B, C, D, E), A, C))) <=> ((~((~v1_xboole_0(B)) & v1_funct_1(D) & v1_funct_2(D, A, B) & m1_relset_1(D, A, B) & v1_funct_1(E) & v1_funct_2(E, B, C) & m1_relset_1(E, B, C))) | (v1_funct_1(k7_funct_2(A, B, C, D, E)) & v1_funct_2(k7_funct_2(A, B, C, D, E), A, C) & m2_relset_1(k7_funct_2(A, B, C, D, E), A, C)))))),
% 0.41/0.59 inference(bind,[status(th)],[])).
% 0.41/0.59 tff(171,plain,
% 0.41/0.59 (![A: $i, B: $i, C: $i, D: $i, E: $i] : ((((((((~v1_xboole_0(B)) & v1_funct_1(D)) & v1_funct_2(D, A, B)) & m1_relset_1(D, A, B)) & v1_funct_1(E)) & v1_funct_2(E, B, C)) & m1_relset_1(E, B, C)) => ((v1_funct_1(k7_funct_2(A, B, C, D, E)) & v1_funct_2(k7_funct_2(A, B, C, D, E), A, C)) & m2_relset_1(k7_funct_2(A, B, C, D, E), A, C))) <=> ![A: $i, B: $i, C: $i, D: $i, E: $i] : ((~((~v1_xboole_0(B)) & v1_funct_1(D) & v1_funct_2(D, A, B) & m1_relset_1(D, A, B) & v1_funct_1(E) & v1_funct_2(E, B, C) & m1_relset_1(E, B, C))) | (v1_funct_1(k7_funct_2(A, B, C, D, E)) & v1_funct_2(k7_funct_2(A, B, C, D, E), A, C) & m2_relset_1(k7_funct_2(A, B, C, D, E), A, C)))),
% 0.41/0.59 inference(quant_intro,[status(thm)],[170])).
% 0.41/0.59 tff(172,axiom,(![A: $i, B: $i, C: $i, D: $i, E: $i] : ((((((((~v1_xboole_0(B)) & v1_funct_1(D)) & v1_funct_2(D, A, B)) & m1_relset_1(D, A, B)) & v1_funct_1(E)) & v1_funct_2(E, B, C)) & m1_relset_1(E, B, C)) => ((v1_funct_1(k7_funct_2(A, B, C, D, E)) & v1_funct_2(k7_funct_2(A, B, C, D, E), A, C)) & m2_relset_1(k7_funct_2(A, B, C, D, E), A, C)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','dt_k7_funct_2')).
% 0.41/0.59 tff(173,plain,
% 0.41/0.59 (![A: $i, B: $i, C: $i, D: $i, E: $i] : ((~((~v1_xboole_0(B)) & v1_funct_1(D) & v1_funct_2(D, A, B) & m1_relset_1(D, A, B) & v1_funct_1(E) & v1_funct_2(E, B, C) & m1_relset_1(E, B, C))) | (v1_funct_1(k7_funct_2(A, B, C, D, E)) & v1_funct_2(k7_funct_2(A, B, C, D, E), A, C) & m2_relset_1(k7_funct_2(A, B, C, D, E), A, C)))),
% 0.41/0.59 inference(modus_ponens,[status(thm)],[172, 171])).
% 0.41/0.59 tff(174,plain,
% 0.41/0.59 (![A: $i, B: $i, C: $i, D: $i, E: $i] : ((~((~v1_xboole_0(B)) & v1_funct_1(D) & v1_funct_2(D, A, B) & m1_relset_1(D, A, B) & v1_funct_1(E) & v1_funct_2(E, B, C) & m1_relset_1(E, B, C))) | (v1_funct_1(k7_funct_2(A, B, C, D, E)) & v1_funct_2(k7_funct_2(A, B, C, D, E), A, C) & m2_relset_1(k7_funct_2(A, B, C, D, E), A, C)))),
% 0.41/0.59 inference(modus_ponens,[status(thm)],[173, 169])).
% 0.41/0.59 tff(175,plain,(
% 0.41/0.59 ![A: $i, B: $i, C: $i, D: $i, E: $i] : ((~((~v1_xboole_0(B)) & v1_funct_1(D) & v1_funct_2(D, A, B) & m1_relset_1(D, A, B) & v1_funct_1(E) & v1_funct_2(E, B, C) & m1_relset_1(E, B, C))) | (v1_funct_1(k7_funct_2(A, B, C, D, E)) & v1_funct_2(k7_funct_2(A, B, C, D, E), A, C) & m2_relset_1(k7_funct_2(A, B, C, D, E), A, C)))),
% 0.41/0.59 inference(skolemize,[status(sab)],[174])).
% 0.41/0.59 tff(176,plain,
% 0.41/0.59 (![A: $i, B: $i, C: $i, D: $i, E: $i] : (v1_xboole_0(B) | (~v1_funct_1(E)) | (~v1_funct_1(D)) | (~v1_funct_2(D, A, B)) | (~m1_relset_1(D, A, B)) | (~v1_funct_2(E, B, C)) | (~m1_relset_1(E, B, C)) | (~((~v1_funct_1(k7_funct_2(A, B, C, D, E))) | (~v1_funct_2(k7_funct_2(A, B, C, D, E), A, C)) | (~m2_relset_1(k7_funct_2(A, B, C, D, E), A, C)))))),
% 0.41/0.59 inference(modus_ponens,[status(thm)],[175, 168])).
% 0.41/0.59 tff(177,plain,
% 0.41/0.59 (![A: $i, B: $i, C: $i, D: $i, E: $i] : (v1_xboole_0(B) | (~v1_funct_1(E)) | (~v1_funct_1(D)) | (~v1_funct_2(D, A, B)) | (~m1_relset_1(D, A, B)) | (~v1_funct_2(E, B, C)) | (~m1_relset_1(E, B, C)) | (~((~v1_funct_1(k7_funct_2(A, B, C, D, E))) | (~v1_funct_2(k7_funct_2(A, B, C, D, E), A, C)) | (~m2_relset_1(k7_funct_2(A, B, C, D, E), A, C)))))),
% 0.41/0.59 inference(modus_ponens,[status(thm)],[176, 166])).
% 0.41/0.59 tff(178,plain,
% 0.41/0.59 (((~![A: $i, B: $i, C: $i, D: $i, E: $i] : (v1_xboole_0(B) | (~v1_funct_1(E)) | (~v1_funct_1(D)) | (~v1_funct_2(D, A, B)) | (~m1_relset_1(D, A, B)) | (~v1_funct_2(E, B, C)) | (~m1_relset_1(E, B, C)) | (~((~v1_funct_1(k7_funct_2(A, B, C, D, E))) | (~v1_funct_2(k7_funct_2(A, B, C, D, E), A, C)) | (~m2_relset_1(k7_funct_2(A, B, C, D, E), A, C)))))) | ((~v1_funct_1(D!3)) | (~v1_funct_1(E!4)) | v1_xboole_0(u1_struct_0(B!1)) | (~v1_funct_2(D!3, u1_struct_0(A!0), u1_struct_0(B!1))) | (~m1_relset_1(D!3, u1_struct_0(A!0), u1_struct_0(B!1))) | (~v1_funct_2(E!4, u1_struct_0(B!1), u1_struct_0(C!2))) | (~m1_relset_1(E!4, u1_struct_0(B!1), u1_struct_0(C!2))) | (~((~v1_funct_1(k7_funct_2(u1_struct_0(A!0), u1_struct_0(B!1), u1_struct_0(C!2), D!3, E!4))) | (~v1_funct_2(k7_funct_2(u1_struct_0(A!0), u1_struct_0(B!1), u1_struct_0(C!2), D!3, E!4), u1_struct_0(A!0), u1_struct_0(C!2))) | (~m2_relset_1(k7_funct_2(u1_struct_0(A!0), u1_struct_0(B!1), u1_struct_0(C!2), D!3, E!4), u1_struct_0(A!0), u1_struct_0(C!2))))))) <=> ((~![A: $i, B: $i, C: $i, D: $i, E: $i] : (v1_xboole_0(B) | (~v1_funct_1(E)) | (~v1_funct_1(D)) | (~v1_funct_2(D, A, B)) | (~m1_relset_1(D, A, B)) | (~v1_funct_2(E, B, C)) | (~m1_relset_1(E, B, C)) | (~((~v1_funct_1(k7_funct_2(A, B, C, D, E))) | (~v1_funct_2(k7_funct_2(A, B, C, D, E), A, C)) | (~m2_relset_1(k7_funct_2(A, B, C, D, E), A, C)))))) | (~v1_funct_1(D!3)) | (~v1_funct_1(E!4)) | v1_xboole_0(u1_struct_0(B!1)) | (~v1_funct_2(D!3, u1_struct_0(A!0), u1_struct_0(B!1))) | (~m1_relset_1(D!3, u1_struct_0(A!0), u1_struct_0(B!1))) | (~v1_funct_2(E!4, u1_struct_0(B!1), u1_struct_0(C!2))) | (~m1_relset_1(E!4, u1_struct_0(B!1), u1_struct_0(C!2))) | (~((~v1_funct_1(k7_funct_2(u1_struct_0(A!0), u1_struct_0(B!1), u1_struct_0(C!2), D!3, E!4))) | (~v1_funct_2(k7_funct_2(u1_struct_0(A!0), u1_struct_0(B!1), u1_struct_0(C!2), D!3, E!4), u1_struct_0(A!0), u1_struct_0(C!2))) | (~m2_relset_1(k7_funct_2(u1_struct_0(A!0), u1_struct_0(B!1), u1_struct_0(C!2), D!3, E!4), u1_struct_0(A!0), u1_struct_0(C!2))))))),
% 0.41/0.59 inference(rewrite,[status(thm)],[])).
% 0.41/0.59 tff(179,plain,
% 0.41/0.59 ((v1_xboole_0(u1_struct_0(B!1)) | (~v1_funct_1(E!4)) | (~v1_funct_1(D!3)) | (~v1_funct_2(D!3, u1_struct_0(A!0), u1_struct_0(B!1))) | (~m1_relset_1(D!3, u1_struct_0(A!0), u1_struct_0(B!1))) | (~v1_funct_2(E!4, u1_struct_0(B!1), u1_struct_0(C!2))) | (~m1_relset_1(E!4, u1_struct_0(B!1), u1_struct_0(C!2))) | (~((~v1_funct_1(k7_funct_2(u1_struct_0(A!0), u1_struct_0(B!1), u1_struct_0(C!2), D!3, E!4))) | (~v1_funct_2(k7_funct_2(u1_struct_0(A!0), u1_struct_0(B!1), u1_struct_0(C!2), D!3, E!4), u1_struct_0(A!0), u1_struct_0(C!2))) | (~m2_relset_1(k7_funct_2(u1_struct_0(A!0), u1_struct_0(B!1), u1_struct_0(C!2), D!3, E!4), u1_struct_0(A!0), u1_struct_0(C!2)))))) <=> ((~v1_funct_1(D!3)) | (~v1_funct_1(E!4)) | v1_xboole_0(u1_struct_0(B!1)) | (~v1_funct_2(D!3, u1_struct_0(A!0), u1_struct_0(B!1))) | (~m1_relset_1(D!3, u1_struct_0(A!0), u1_struct_0(B!1))) | (~v1_funct_2(E!4, u1_struct_0(B!1), u1_struct_0(C!2))) | (~m1_relset_1(E!4, u1_struct_0(B!1), u1_struct_0(C!2))) | (~((~v1_funct_1(k7_funct_2(u1_struct_0(A!0), u1_struct_0(B!1), u1_struct_0(C!2), D!3, E!4))) | (~v1_funct_2(k7_funct_2(u1_struct_0(A!0), u1_struct_0(B!1), u1_struct_0(C!2), D!3, E!4), u1_struct_0(A!0), u1_struct_0(C!2))) | (~m2_relset_1(k7_funct_2(u1_struct_0(A!0), u1_struct_0(B!1), u1_struct_0(C!2), D!3, E!4), u1_struct_0(A!0), u1_struct_0(C!2))))))),
% 0.41/0.60 inference(rewrite,[status(thm)],[])).
% 0.41/0.60 tff(180,plain,
% 0.41/0.60 ((~((~v1_funct_1(k7_funct_2(u1_struct_0(A!0), u1_struct_0(B!1), u1_struct_0(C!2), D!3, E!4))) | (~v1_funct_2(k7_funct_2(u1_struct_0(A!0), u1_struct_0(B!1), u1_struct_0(C!2), D!3, E!4), u1_struct_0(A!0), u1_struct_0(C!2))) | (~m2_relset_1(k7_funct_2(u1_struct_0(A!0), u1_struct_0(B!1), u1_struct_0(C!2), D!3, E!4), u1_struct_0(A!0), u1_struct_0(C!2))))) <=> (~((~v1_funct_1(k7_funct_2(u1_struct_0(A!0), u1_struct_0(B!1), u1_struct_0(C!2), D!3, E!4))) | (~v1_funct_2(k7_funct_2(u1_struct_0(A!0), u1_struct_0(B!1), u1_struct_0(C!2), D!3, E!4), u1_struct_0(A!0), u1_struct_0(C!2))) | (~m2_relset_1(k7_funct_2(u1_struct_0(A!0), u1_struct_0(B!1), u1_struct_0(C!2), D!3, E!4), u1_struct_0(A!0), u1_struct_0(C!2)))))),
% 0.41/0.60 inference(rewrite,[status(thm)],[])).
% 0.41/0.60 tff(181,plain,
% 0.41/0.60 ((v1_xboole_0(u1_struct_0(B!1)) | (~v1_funct_1(E!4)) | (~v1_funct_1(D!3)) | (~v1_funct_2(D!3, u1_struct_0(A!0), u1_struct_0(B!1))) | (~m1_relset_1(D!3, u1_struct_0(A!0), u1_struct_0(B!1))) | (~v1_funct_2(E!4, u1_struct_0(B!1), u1_struct_0(C!2))) | (~m1_relset_1(E!4, u1_struct_0(B!1), u1_struct_0(C!2))) | (~((~v1_funct_1(k7_funct_2(u1_struct_0(A!0), u1_struct_0(B!1), u1_struct_0(C!2), D!3, E!4))) | (~v1_funct_2(k7_funct_2(u1_struct_0(A!0), u1_struct_0(B!1), u1_struct_0(C!2), D!3, E!4), u1_struct_0(A!0), u1_struct_0(C!2))) | (~m2_relset_1(k7_funct_2(u1_struct_0(A!0), u1_struct_0(B!1), u1_struct_0(C!2), D!3, E!4), u1_struct_0(A!0), u1_struct_0(C!2)))))) <=> (v1_xboole_0(u1_struct_0(B!1)) | (~v1_funct_1(E!4)) | (~v1_funct_1(D!3)) | (~v1_funct_2(D!3, u1_struct_0(A!0), u1_struct_0(B!1))) | (~m1_relset_1(D!3, u1_struct_0(A!0), u1_struct_0(B!1))) | (~v1_funct_2(E!4, u1_struct_0(B!1), u1_struct_0(C!2))) | (~m1_relset_1(E!4, u1_struct_0(B!1), u1_struct_0(C!2))) | (~((~v1_funct_1(k7_funct_2(u1_struct_0(A!0), u1_struct_0(B!1), u1_struct_0(C!2), D!3, E!4))) | (~v1_funct_2(k7_funct_2(u1_struct_0(A!0), u1_struct_0(B!1), u1_struct_0(C!2), D!3, E!4), u1_struct_0(A!0), u1_struct_0(C!2))) | (~m2_relset_1(k7_funct_2(u1_struct_0(A!0), u1_struct_0(B!1), u1_struct_0(C!2), D!3, E!4), u1_struct_0(A!0), u1_struct_0(C!2))))))),
% 0.41/0.60 inference(monotonicity,[status(thm)],[180])).
% 0.41/0.60 tff(182,plain,
% 0.41/0.60 ((v1_xboole_0(u1_struct_0(B!1)) | (~v1_funct_1(E!4)) | (~v1_funct_1(D!3)) | (~v1_funct_2(D!3, u1_struct_0(A!0), u1_struct_0(B!1))) | (~m1_relset_1(D!3, u1_struct_0(A!0), u1_struct_0(B!1))) | (~v1_funct_2(E!4, u1_struct_0(B!1), u1_struct_0(C!2))) | (~m1_relset_1(E!4, u1_struct_0(B!1), u1_struct_0(C!2))) | (~((~v1_funct_1(k7_funct_2(u1_struct_0(A!0), u1_struct_0(B!1), u1_struct_0(C!2), D!3, E!4))) | (~v1_funct_2(k7_funct_2(u1_struct_0(A!0), u1_struct_0(B!1), u1_struct_0(C!2), D!3, E!4), u1_struct_0(A!0), u1_struct_0(C!2))) | (~m2_relset_1(k7_funct_2(u1_struct_0(A!0), u1_struct_0(B!1), u1_struct_0(C!2), D!3, E!4), u1_struct_0(A!0), u1_struct_0(C!2)))))) <=> ((~v1_funct_1(D!3)) | (~v1_funct_1(E!4)) | v1_xboole_0(u1_struct_0(B!1)) | (~v1_funct_2(D!3, u1_struct_0(A!0), u1_struct_0(B!1))) | (~m1_relset_1(D!3, u1_struct_0(A!0), u1_struct_0(B!1))) | (~v1_funct_2(E!4, u1_struct_0(B!1), u1_struct_0(C!2))) | (~m1_relset_1(E!4, u1_struct_0(B!1), u1_struct_0(C!2))) | (~((~v1_funct_1(k7_funct_2(u1_struct_0(A!0), u1_struct_0(B!1), u1_struct_0(C!2), D!3, E!4))) | (~v1_funct_2(k7_funct_2(u1_struct_0(A!0), u1_struct_0(B!1), u1_struct_0(C!2), D!3, E!4), u1_struct_0(A!0), u1_struct_0(C!2))) | (~m2_relset_1(k7_funct_2(u1_struct_0(A!0), u1_struct_0(B!1), u1_struct_0(C!2), D!3, E!4), u1_struct_0(A!0), u1_struct_0(C!2))))))),
% 0.41/0.60 inference(transitivity,[status(thm)],[181, 179])).
% 0.41/0.60 tff(183,plain,
% 0.41/0.60 (((~![A: $i, B: $i, C: $i, D: $i, E: $i] : (v1_xboole_0(B) | (~v1_funct_1(E)) | (~v1_funct_1(D)) | (~v1_funct_2(D, A, B)) | (~m1_relset_1(D, A, B)) | (~v1_funct_2(E, B, C)) | (~m1_relset_1(E, B, C)) | (~((~v1_funct_1(k7_funct_2(A, B, C, D, E))) | (~v1_funct_2(k7_funct_2(A, B, C, D, E), A, C)) | (~m2_relset_1(k7_funct_2(A, B, C, D, E), A, C)))))) | (v1_xboole_0(u1_struct_0(B!1)) | (~v1_funct_1(E!4)) | (~v1_funct_1(D!3)) | (~v1_funct_2(D!3, u1_struct_0(A!0), u1_struct_0(B!1))) | (~m1_relset_1(D!3, u1_struct_0(A!0), u1_struct_0(B!1))) | (~v1_funct_2(E!4, u1_struct_0(B!1), u1_struct_0(C!2))) | (~m1_relset_1(E!4, u1_struct_0(B!1), u1_struct_0(C!2))) | (~((~v1_funct_1(k7_funct_2(u1_struct_0(A!0), u1_struct_0(B!1), u1_struct_0(C!2), D!3, E!4))) | (~v1_funct_2(k7_funct_2(u1_struct_0(A!0), u1_struct_0(B!1), u1_struct_0(C!2), D!3, E!4), u1_struct_0(A!0), u1_struct_0(C!2))) | (~m2_relset_1(k7_funct_2(u1_struct_0(A!0), u1_struct_0(B!1), u1_struct_0(C!2), D!3, E!4), u1_struct_0(A!0), u1_struct_0(C!2))))))) <=> ((~![A: $i, B: $i, C: $i, D: $i, E: $i] : (v1_xboole_0(B) | (~v1_funct_1(E)) | (~v1_funct_1(D)) | (~v1_funct_2(D, A, B)) | (~m1_relset_1(D, A, B)) | (~v1_funct_2(E, B, C)) | (~m1_relset_1(E, B, C)) | (~((~v1_funct_1(k7_funct_2(A, B, C, D, E))) | (~v1_funct_2(k7_funct_2(A, B, C, D, E), A, C)) | (~m2_relset_1(k7_funct_2(A, B, C, D, E), A, C)))))) | ((~v1_funct_1(D!3)) | (~v1_funct_1(E!4)) | v1_xboole_0(u1_struct_0(B!1)) | (~v1_funct_2(D!3, u1_struct_0(A!0), u1_struct_0(B!1))) | (~m1_relset_1(D!3, u1_struct_0(A!0), u1_struct_0(B!1))) | (~v1_funct_2(E!4, u1_struct_0(B!1), u1_struct_0(C!2))) | (~m1_relset_1(E!4, u1_struct_0(B!1), u1_struct_0(C!2))) | (~((~v1_funct_1(k7_funct_2(u1_struct_0(A!0), u1_struct_0(B!1), u1_struct_0(C!2), D!3, E!4))) | (~v1_funct_2(k7_funct_2(u1_struct_0(A!0), u1_struct_0(B!1), u1_struct_0(C!2), D!3, E!4), u1_struct_0(A!0), u1_struct_0(C!2))) | (~m2_relset_1(k7_funct_2(u1_struct_0(A!0), u1_struct_0(B!1), u1_struct_0(C!2), D!3, E!4), u1_struct_0(A!0), u1_struct_0(C!2)))))))),
% 0.41/0.60 inference(monotonicity,[status(thm)],[182])).
% 0.41/0.60 tff(184,plain,
% 0.41/0.60 (((~![A: $i, B: $i, C: $i, D: $i, E: $i] : (v1_xboole_0(B) | (~v1_funct_1(E)) | (~v1_funct_1(D)) | (~v1_funct_2(D, A, B)) | (~m1_relset_1(D, A, B)) | (~v1_funct_2(E, B, C)) | (~m1_relset_1(E, B, C)) | (~((~v1_funct_1(k7_funct_2(A, B, C, D, E))) | (~v1_funct_2(k7_funct_2(A, B, C, D, E), A, C)) | (~m2_relset_1(k7_funct_2(A, B, C, D, E), A, C)))))) | (v1_xboole_0(u1_struct_0(B!1)) | (~v1_funct_1(E!4)) | (~v1_funct_1(D!3)) | (~v1_funct_2(D!3, u1_struct_0(A!0), u1_struct_0(B!1))) | (~m1_relset_1(D!3, u1_struct_0(A!0), u1_struct_0(B!1))) | (~v1_funct_2(E!4, u1_struct_0(B!1), u1_struct_0(C!2))) | (~m1_relset_1(E!4, u1_struct_0(B!1), u1_struct_0(C!2))) | (~((~v1_funct_1(k7_funct_2(u1_struct_0(A!0), u1_struct_0(B!1), u1_struct_0(C!2), D!3, E!4))) | (~v1_funct_2(k7_funct_2(u1_struct_0(A!0), u1_struct_0(B!1), u1_struct_0(C!2), D!3, E!4), u1_struct_0(A!0), u1_struct_0(C!2))) | (~m2_relset_1(k7_funct_2(u1_struct_0(A!0), u1_struct_0(B!1), u1_struct_0(C!2), D!3, E!4), u1_struct_0(A!0), u1_struct_0(C!2))))))) <=> ((~![A: $i, B: $i, C: $i, D: $i, E: $i] : (v1_xboole_0(B) | (~v1_funct_1(E)) | (~v1_funct_1(D)) | (~v1_funct_2(D, A, B)) | (~m1_relset_1(D, A, B)) | (~v1_funct_2(E, B, C)) | (~m1_relset_1(E, B, C)) | (~((~v1_funct_1(k7_funct_2(A, B, C, D, E))) | (~v1_funct_2(k7_funct_2(A, B, C, D, E), A, C)) | (~m2_relset_1(k7_funct_2(A, B, C, D, E), A, C)))))) | (~v1_funct_1(D!3)) | (~v1_funct_1(E!4)) | v1_xboole_0(u1_struct_0(B!1)) | (~v1_funct_2(D!3, u1_struct_0(A!0), u1_struct_0(B!1))) | (~m1_relset_1(D!3, u1_struct_0(A!0), u1_struct_0(B!1))) | (~v1_funct_2(E!4, u1_struct_0(B!1), u1_struct_0(C!2))) | (~m1_relset_1(E!4, u1_struct_0(B!1), u1_struct_0(C!2))) | (~((~v1_funct_1(k7_funct_2(u1_struct_0(A!0), u1_struct_0(B!1), u1_struct_0(C!2), D!3, E!4))) | (~v1_funct_2(k7_funct_2(u1_struct_0(A!0), u1_struct_0(B!1), u1_struct_0(C!2), D!3, E!4), u1_struct_0(A!0), u1_struct_0(C!2))) | (~m2_relset_1(k7_funct_2(u1_struct_0(A!0), u1_struct_0(B!1), u1_struct_0(C!2), D!3, E!4), u1_struct_0(A!0), u1_struct_0(C!2))))))),
% 0.41/0.60 inference(transitivity,[status(thm)],[183, 178])).
% 0.41/0.60 tff(185,plain,
% 0.41/0.60 ((~![A: $i, B: $i, C: $i, D: $i, E: $i] : (v1_xboole_0(B) | (~v1_funct_1(E)) | (~v1_funct_1(D)) | (~v1_funct_2(D, A, B)) | (~m1_relset_1(D, A, B)) | (~v1_funct_2(E, B, C)) | (~m1_relset_1(E, B, C)) | (~((~v1_funct_1(k7_funct_2(A, B, C, D, E))) | (~v1_funct_2(k7_funct_2(A, B, C, D, E), A, C)) | (~m2_relset_1(k7_funct_2(A, B, C, D, E), A, C)))))) | (v1_xboole_0(u1_struct_0(B!1)) | (~v1_funct_1(E!4)) | (~v1_funct_1(D!3)) | (~v1_funct_2(D!3, u1_struct_0(A!0), u1_struct_0(B!1))) | (~m1_relset_1(D!3, u1_struct_0(A!0), u1_struct_0(B!1))) | (~v1_funct_2(E!4, u1_struct_0(B!1), u1_struct_0(C!2))) | (~m1_relset_1(E!4, u1_struct_0(B!1), u1_struct_0(C!2))) | (~((~v1_funct_1(k7_funct_2(u1_struct_0(A!0), u1_struct_0(B!1), u1_struct_0(C!2), D!3, E!4))) | (~v1_funct_2(k7_funct_2(u1_struct_0(A!0), u1_struct_0(B!1), u1_struct_0(C!2), D!3, E!4), u1_struct_0(A!0), u1_struct_0(C!2))) | (~m2_relset_1(k7_funct_2(u1_struct_0(A!0), u1_struct_0(B!1), u1_struct_0(C!2), D!3, E!4), u1_struct_0(A!0), u1_struct_0(C!2))))))),
% 0.41/0.60 inference(quant_inst,[status(thm)],[])).
% 0.41/0.60 tff(186,plain,
% 0.41/0.60 ((~![A: $i, B: $i, C: $i, D: $i, E: $i] : (v1_xboole_0(B) | (~v1_funct_1(E)) | (~v1_funct_1(D)) | (~v1_funct_2(D, A, B)) | (~m1_relset_1(D, A, B)) | (~v1_funct_2(E, B, C)) | (~m1_relset_1(E, B, C)) | (~((~v1_funct_1(k7_funct_2(A, B, C, D, E))) | (~v1_funct_2(k7_funct_2(A, B, C, D, E), A, C)) | (~m2_relset_1(k7_funct_2(A, B, C, D, E), A, C)))))) | (~v1_funct_1(D!3)) | (~v1_funct_1(E!4)) | v1_xboole_0(u1_struct_0(B!1)) | (~v1_funct_2(D!3, u1_struct_0(A!0), u1_struct_0(B!1))) | (~m1_relset_1(D!3, u1_struct_0(A!0), u1_struct_0(B!1))) | (~v1_funct_2(E!4, u1_struct_0(B!1), u1_struct_0(C!2))) | (~m1_relset_1(E!4, u1_struct_0(B!1), u1_struct_0(C!2))) | (~((~v1_funct_1(k7_funct_2(u1_struct_0(A!0), u1_struct_0(B!1), u1_struct_0(C!2), D!3, E!4))) | (~v1_funct_2(k7_funct_2(u1_struct_0(A!0), u1_struct_0(B!1), u1_struct_0(C!2), D!3, E!4), u1_struct_0(A!0), u1_struct_0(C!2))) | (~m2_relset_1(k7_funct_2(u1_struct_0(A!0), u1_struct_0(B!1), u1_struct_0(C!2), D!3, E!4), u1_struct_0(A!0), u1_struct_0(C!2)))))),
% 0.41/0.60 inference(modus_ponens,[status(thm)],[185, 184])).
% 0.41/0.60 tff(187,plain,
% 0.41/0.60 (v1_xboole_0(u1_struct_0(B!1)) | (~m1_relset_1(D!3, u1_struct_0(A!0), u1_struct_0(B!1))) | (~m1_relset_1(E!4, u1_struct_0(B!1), u1_struct_0(C!2))) | (~((~v1_funct_1(k7_funct_2(u1_struct_0(A!0), u1_struct_0(B!1), u1_struct_0(C!2), D!3, E!4))) | (~v1_funct_2(k7_funct_2(u1_struct_0(A!0), u1_struct_0(B!1), u1_struct_0(C!2), D!3, E!4), u1_struct_0(A!0), u1_struct_0(C!2))) | (~m2_relset_1(k7_funct_2(u1_struct_0(A!0), u1_struct_0(B!1), u1_struct_0(C!2), D!3, E!4), u1_struct_0(A!0), u1_struct_0(C!2)))))),
% 0.41/0.60 inference(unit_resolution,[status(thm)],[186, 69, 68, 145, 144, 177])).
% 0.41/0.60 tff(188,plain,
% 0.41/0.60 (~((~v1_funct_1(k7_funct_2(u1_struct_0(A!0), u1_struct_0(B!1), u1_struct_0(C!2), D!3, E!4))) | (~v1_funct_2(k7_funct_2(u1_struct_0(A!0), u1_struct_0(B!1), u1_struct_0(C!2), D!3, E!4), u1_struct_0(A!0), u1_struct_0(C!2))) | (~m2_relset_1(k7_funct_2(u1_struct_0(A!0), u1_struct_0(B!1), u1_struct_0(C!2), D!3, E!4), u1_struct_0(A!0), u1_struct_0(C!2))))),
% 0.41/0.60 inference(unit_resolution,[status(thm)],[187, 34, 130, 122])).
% 0.41/0.60 tff(189,plain,
% 0.41/0.60 (((~v1_funct_1(k7_funct_2(u1_struct_0(A!0), u1_struct_0(B!1), u1_struct_0(C!2), D!3, E!4))) | (~v1_funct_2(k7_funct_2(u1_struct_0(A!0), u1_struct_0(B!1), u1_struct_0(C!2), D!3, E!4), u1_struct_0(A!0), u1_struct_0(C!2))) | (~m2_relset_1(k7_funct_2(u1_struct_0(A!0), u1_struct_0(B!1), u1_struct_0(C!2), D!3, E!4), u1_struct_0(A!0), u1_struct_0(C!2)))) | v1_funct_2(k7_funct_2(u1_struct_0(A!0), u1_struct_0(B!1), u1_struct_0(C!2), D!3, E!4), u1_struct_0(A!0), u1_struct_0(C!2))),
% 0.41/0.61 inference(tautology,[status(thm)],[])).
% 0.41/0.61 tff(190,plain,
% 0.41/0.61 (v1_funct_2(k7_funct_2(u1_struct_0(A!0), u1_struct_0(B!1), u1_struct_0(C!2), D!3, E!4), u1_struct_0(A!0), u1_struct_0(C!2))),
% 0.41/0.61 inference(unit_resolution,[status(thm)],[189, 188])).
% 0.41/0.61 tff(191,plain,
% 0.41/0.61 (v1_funct_2(k5_relat_1(D!3, E!4), u1_struct_0(A!0), u1_struct_0(C!2))),
% 0.41/0.61 inference(modus_ponens,[status(thm)],[190, 164])).
% 0.41/0.61 tff(192,plain,
% 0.41/0.61 (^[A: $i] : refl((v3_struct_0(A) | (~l1_orders_2(A)) | ![B: $i] : (v3_struct_0(B) | (~l1_orders_2(B)) | ![C: $i] : ((~v1_funct_1(C)) | (~v1_funct_2(C, u1_struct_0(A), u1_struct_0(B))) | (~m2_relset_1(C, u1_struct_0(A), u1_struct_0(B))) | (~((~((~v4_waybel34(C, A, B)) | ![D: $i] : (r4_waybel_0(A, B, C, D) | (~v1_finset_1(D)) | (~m1_subset_1(D, k1_zfmisc_1(u1_struct_0(A))))))) | (~(v4_waybel34(C, A, B) | (~(r4_waybel_0(A, B, C, tptp_fun_D_5(C, B, A)) | (~v1_finset_1(tptp_fun_D_5(C, B, A))) | (~m1_subset_1(tptp_fun_D_5(C, B, A), k1_zfmisc_1(u1_struct_0(A))))))))))))) <=> (v3_struct_0(A) | (~l1_orders_2(A)) | ![B: $i] : (v3_struct_0(B) | (~l1_orders_2(B)) | ![C: $i] : ((~v1_funct_1(C)) | (~v1_funct_2(C, u1_struct_0(A), u1_struct_0(B))) | (~m2_relset_1(C, u1_struct_0(A), u1_struct_0(B))) | (~((~((~v4_waybel34(C, A, B)) | ![D: $i] : (r4_waybel_0(A, B, C, D) | (~v1_finset_1(D)) | (~m1_subset_1(D, k1_zfmisc_1(u1_struct_0(A))))))) | (~(v4_waybel34(C, A, B) | (~(r4_waybel_0(A, B, C, tptp_fun_D_5(C, B, A)) | (~v1_finset_1(tptp_fun_D_5(C, B, A))) | (~m1_subset_1(tptp_fun_D_5(C, B, A), k1_zfmisc_1(u1_struct_0(A))))))))))))))),
% 0.41/0.61 inference(bind,[status(th)],[])).
% 0.41/0.61 tff(193,plain,
% 0.41/0.61 (![A: $i] : (v3_struct_0(A) | (~l1_orders_2(A)) | ![B: $i] : (v3_struct_0(B) | (~l1_orders_2(B)) | ![C: $i] : ((~v1_funct_1(C)) | (~v1_funct_2(C, u1_struct_0(A), u1_struct_0(B))) | (~m2_relset_1(C, u1_struct_0(A), u1_struct_0(B))) | (~((~((~v4_waybel34(C, A, B)) | ![D: $i] : (r4_waybel_0(A, B, C, D) | (~v1_finset_1(D)) | (~m1_subset_1(D, k1_zfmisc_1(u1_struct_0(A))))))) | (~(v4_waybel34(C, A, B) | (~(r4_waybel_0(A, B, C, tptp_fun_D_5(C, B, A)) | (~v1_finset_1(tptp_fun_D_5(C, B, A))) | (~m1_subset_1(tptp_fun_D_5(C, B, A), k1_zfmisc_1(u1_struct_0(A))))))))))))) <=> ![A: $i] : (v3_struct_0(A) | (~l1_orders_2(A)) | ![B: $i] : (v3_struct_0(B) | (~l1_orders_2(B)) | ![C: $i] : ((~v1_funct_1(C)) | (~v1_funct_2(C, u1_struct_0(A), u1_struct_0(B))) | (~m2_relset_1(C, u1_struct_0(A), u1_struct_0(B))) | (~((~((~v4_waybel34(C, A, B)) | ![D: $i] : (r4_waybel_0(A, B, C, D) | (~v1_finset_1(D)) | (~m1_subset_1(D, k1_zfmisc_1(u1_struct_0(A))))))) | (~(v4_waybel34(C, A, B) | (~(r4_waybel_0(A, B, C, tptp_fun_D_5(C, B, A)) | (~v1_finset_1(tptp_fun_D_5(C, B, A))) | (~m1_subset_1(tptp_fun_D_5(C, B, A), k1_zfmisc_1(u1_struct_0(A)))))))))))))),
% 0.41/0.61 inference(quant_intro,[status(thm)],[192])).
% 0.41/0.61 tff(194,plain,
% 0.41/0.61 (^[A: $i] : rewrite((v3_struct_0(A) | (~l1_orders_2(A)) | ![B: $i] : (v3_struct_0(B) | (~l1_orders_2(B)) | ![C: $i] : ((~v1_funct_1(C)) | (~v1_funct_2(C, u1_struct_0(A), u1_struct_0(B))) | (~m2_relset_1(C, u1_struct_0(A), u1_struct_0(B))) | (~((~((~v4_waybel34(C, A, B)) | ![D: $i] : (r4_waybel_0(A, B, C, D) | (~v1_finset_1(D)) | (~m1_subset_1(D, k1_zfmisc_1(u1_struct_0(A))))))) | (~(v4_waybel34(C, A, B) | (~(r4_waybel_0(A, B, C, tptp_fun_D_5(C, B, A)) | (~v1_finset_1(tptp_fun_D_5(C, B, A))) | (~m1_subset_1(tptp_fun_D_5(C, B, A), k1_zfmisc_1(u1_struct_0(A))))))))))))) <=> (v3_struct_0(A) | (~l1_orders_2(A)) | ![B: $i] : (v3_struct_0(B) | (~l1_orders_2(B)) | ![C: $i] : ((~v1_funct_1(C)) | (~v1_funct_2(C, u1_struct_0(A), u1_struct_0(B))) | (~m2_relset_1(C, u1_struct_0(A), u1_struct_0(B))) | (~((~((~v4_waybel34(C, A, B)) | ![D: $i] : (r4_waybel_0(A, B, C, D) | (~v1_finset_1(D)) | (~m1_subset_1(D, k1_zfmisc_1(u1_struct_0(A))))))) | (~(v4_waybel34(C, A, B) | (~(r4_waybel_0(A, B, C, tptp_fun_D_5(C, B, A)) | (~v1_finset_1(tptp_fun_D_5(C, B, A))) | (~m1_subset_1(tptp_fun_D_5(C, B, A), k1_zfmisc_1(u1_struct_0(A))))))))))))))),
% 0.41/0.61 inference(bind,[status(th)],[])).
% 0.41/0.61 tff(195,plain,
% 0.41/0.61 (![A: $i] : (v3_struct_0(A) | (~l1_orders_2(A)) | ![B: $i] : (v3_struct_0(B) | (~l1_orders_2(B)) | ![C: $i] : ((~v1_funct_1(C)) | (~v1_funct_2(C, u1_struct_0(A), u1_struct_0(B))) | (~m2_relset_1(C, u1_struct_0(A), u1_struct_0(B))) | (~((~((~v4_waybel34(C, A, B)) | ![D: $i] : (r4_waybel_0(A, B, C, D) | (~v1_finset_1(D)) | (~m1_subset_1(D, k1_zfmisc_1(u1_struct_0(A))))))) | (~(v4_waybel34(C, A, B) | (~(r4_waybel_0(A, B, C, tptp_fun_D_5(C, B, A)) | (~v1_finset_1(tptp_fun_D_5(C, B, A))) | (~m1_subset_1(tptp_fun_D_5(C, B, A), k1_zfmisc_1(u1_struct_0(A))))))))))))) <=> ![A: $i] : (v3_struct_0(A) | (~l1_orders_2(A)) | ![B: $i] : (v3_struct_0(B) | (~l1_orders_2(B)) | ![C: $i] : ((~v1_funct_1(C)) | (~v1_funct_2(C, u1_struct_0(A), u1_struct_0(B))) | (~m2_relset_1(C, u1_struct_0(A), u1_struct_0(B))) | (~((~((~v4_waybel34(C, A, B)) | ![D: $i] : (r4_waybel_0(A, B, C, D) | (~v1_finset_1(D)) | (~m1_subset_1(D, k1_zfmisc_1(u1_struct_0(A))))))) | (~(v4_waybel34(C, A, B) | (~(r4_waybel_0(A, B, C, tptp_fun_D_5(C, B, A)) | (~v1_finset_1(tptp_fun_D_5(C, B, A))) | (~m1_subset_1(tptp_fun_D_5(C, B, A), k1_zfmisc_1(u1_struct_0(A)))))))))))))),
% 0.41/0.61 inference(quant_intro,[status(thm)],[194])).
% 0.41/0.61 tff(196,plain,
% 0.41/0.61 (![A: $i] : (v3_struct_0(A) | (~l1_orders_2(A)) | ![B: $i] : (v3_struct_0(B) | (~l1_orders_2(B)) | ![C: $i] : ((~v1_funct_1(C)) | (~v1_funct_2(C, u1_struct_0(A), u1_struct_0(B))) | (~m2_relset_1(C, u1_struct_0(A), u1_struct_0(B))) | (~((~((~v4_waybel34(C, A, B)) | ![D: $i] : (r4_waybel_0(A, B, C, D) | (~v1_finset_1(D)) | (~m1_subset_1(D, k1_zfmisc_1(u1_struct_0(A))))))) | (~(v4_waybel34(C, A, B) | (~(r4_waybel_0(A, B, C, tptp_fun_D_5(C, B, A)) | (~v1_finset_1(tptp_fun_D_5(C, B, A))) | (~m1_subset_1(tptp_fun_D_5(C, B, A), k1_zfmisc_1(u1_struct_0(A))))))))))))) <=> ![A: $i] : (v3_struct_0(A) | (~l1_orders_2(A)) | ![B: $i] : (v3_struct_0(B) | (~l1_orders_2(B)) | ![C: $i] : ((~v1_funct_1(C)) | (~v1_funct_2(C, u1_struct_0(A), u1_struct_0(B))) | (~m2_relset_1(C, u1_struct_0(A), u1_struct_0(B))) | (~((~((~v4_waybel34(C, A, B)) | ![D: $i] : (r4_waybel_0(A, B, C, D) | (~v1_finset_1(D)) | (~m1_subset_1(D, k1_zfmisc_1(u1_struct_0(A))))))) | (~(v4_waybel34(C, A, B) | (~(r4_waybel_0(A, B, C, tptp_fun_D_5(C, B, A)) | (~v1_finset_1(tptp_fun_D_5(C, B, A))) | (~m1_subset_1(tptp_fun_D_5(C, B, A), k1_zfmisc_1(u1_struct_0(A)))))))))))))),
% 0.41/0.61 inference(transitivity,[status(thm)],[195, 193])).
% 0.41/0.61 tff(197,plain,
% 0.41/0.61 (^[A: $i] : trans(monotonicity(trans(monotonicity(rewrite(((~v3_struct_0(A)) & l1_orders_2(A)) <=> (~(v3_struct_0(A) | (~l1_orders_2(A))))), ((~((~v3_struct_0(A)) & l1_orders_2(A))) <=> (~(~(v3_struct_0(A) | (~l1_orders_2(A))))))), rewrite((~(~(v3_struct_0(A) | (~l1_orders_2(A))))) <=> (v3_struct_0(A) | (~l1_orders_2(A)))), ((~((~v3_struct_0(A)) & l1_orders_2(A))) <=> (v3_struct_0(A) | (~l1_orders_2(A))))), quant_intro(proof_bind(^[B: $i] : trans(monotonicity(trans(monotonicity(rewrite(((~v3_struct_0(B)) & l1_orders_2(B)) <=> (~(v3_struct_0(B) | (~l1_orders_2(B))))), ((~((~v3_struct_0(B)) & l1_orders_2(B))) <=> (~(~(v3_struct_0(B) | (~l1_orders_2(B))))))), rewrite((~(~(v3_struct_0(B) | (~l1_orders_2(B))))) <=> (v3_struct_0(B) | (~l1_orders_2(B)))), ((~((~v3_struct_0(B)) & l1_orders_2(B))) <=> (v3_struct_0(B) | (~l1_orders_2(B))))), quant_intro(proof_bind(^[C: $i] : trans(monotonicity(trans(monotonicity(rewrite((v1_funct_1(C) & v1_funct_2(C, u1_struct_0(A), u1_struct_0(B)) & m2_relset_1(C, u1_struct_0(A), u1_struct_0(B))) <=> (~((~v1_funct_1(C)) | (~v1_funct_2(C, u1_struct_0(A), u1_struct_0(B))) | (~m2_relset_1(C, u1_struct_0(A), u1_struct_0(B)))))), ((~(v1_funct_1(C) & v1_funct_2(C, u1_struct_0(A), u1_struct_0(B)) & m2_relset_1(C, u1_struct_0(A), u1_struct_0(B)))) <=> (~(~((~v1_funct_1(C)) | (~v1_funct_2(C, u1_struct_0(A), u1_struct_0(B))) | (~m2_relset_1(C, u1_struct_0(A), u1_struct_0(B)))))))), rewrite((~(~((~v1_funct_1(C)) | (~v1_funct_2(C, u1_struct_0(A), u1_struct_0(B))) | (~m2_relset_1(C, u1_struct_0(A), u1_struct_0(B)))))) <=> ((~v1_funct_1(C)) | (~v1_funct_2(C, u1_struct_0(A), u1_struct_0(B))) | (~m2_relset_1(C, u1_struct_0(A), u1_struct_0(B))))), ((~(v1_funct_1(C) & v1_funct_2(C, u1_struct_0(A), u1_struct_0(B)) & m2_relset_1(C, u1_struct_0(A), u1_struct_0(B)))) <=> ((~v1_funct_1(C)) | (~v1_funct_2(C, u1_struct_0(A), u1_struct_0(B))) | (~m2_relset_1(C, u1_struct_0(A), u1_struct_0(B)))))), trans(monotonicity(rewrite(((~v4_waybel34(C, A, B)) | ![D: $i] : ((~(v1_finset_1(D) & m1_subset_1(D, k1_zfmisc_1(u1_struct_0(A))))) | r4_waybel_0(A, B, C, D))) <=> ((~v4_waybel34(C, A, B)) | ![D: $i] : (r4_waybel_0(A, B, C, D) | (~v1_finset_1(D)) | (~m1_subset_1(D, k1_zfmisc_1(u1_struct_0(A))))))), trans(monotonicity(rewrite((~((~(v1_finset_1(tptp_fun_D_5(C, B, A)) & m1_subset_1(tptp_fun_D_5(C, B, A), k1_zfmisc_1(u1_struct_0(A))))) | r4_waybel_0(A, B, C, tptp_fun_D_5(C, B, A)))) <=> (~(r4_waybel_0(A, B, C, tptp_fun_D_5(C, B, A)) | (~v1_finset_1(tptp_fun_D_5(C, B, A))) | (~m1_subset_1(tptp_fun_D_5(C, B, A), k1_zfmisc_1(u1_struct_0(A))))))), ((v4_waybel34(C, A, B) | (~((~(v1_finset_1(tptp_fun_D_5(C, B, A)) & m1_subset_1(tptp_fun_D_5(C, B, A), k1_zfmisc_1(u1_struct_0(A))))) | r4_waybel_0(A, B, C, tptp_fun_D_5(C, B, A))))) <=> (v4_waybel34(C, A, B) | (~(r4_waybel_0(A, B, C, tptp_fun_D_5(C, B, A)) | (~v1_finset_1(tptp_fun_D_5(C, B, A))) | (~m1_subset_1(tptp_fun_D_5(C, B, A), k1_zfmisc_1(u1_struct_0(A))))))))), rewrite((v4_waybel34(C, A, B) | (~(r4_waybel_0(A, B, C, tptp_fun_D_5(C, B, A)) | (~v1_finset_1(tptp_fun_D_5(C, B, A))) | (~m1_subset_1(tptp_fun_D_5(C, B, A), k1_zfmisc_1(u1_struct_0(A))))))) <=> (v4_waybel34(C, A, B) | (~(r4_waybel_0(A, B, C, tptp_fun_D_5(C, B, A)) | (~v1_finset_1(tptp_fun_D_5(C, B, A))) | (~m1_subset_1(tptp_fun_D_5(C, B, A), k1_zfmisc_1(u1_struct_0(A)))))))), ((v4_waybel34(C, A, B) | (~((~(v1_finset_1(tptp_fun_D_5(C, B, A)) & m1_subset_1(tptp_fun_D_5(C, B, A), k1_zfmisc_1(u1_struct_0(A))))) | r4_waybel_0(A, B, C, tptp_fun_D_5(C, B, A))))) <=> (v4_waybel34(C, A, B) | (~(r4_waybel_0(A, B, C, tptp_fun_D_5(C, B, A)) | (~v1_finset_1(tptp_fun_D_5(C, B, A))) | (~m1_subset_1(tptp_fun_D_5(C, B, A), k1_zfmisc_1(u1_struct_0(A))))))))), ((((~v4_waybel34(C, A, B)) | ![D: $i] : ((~(v1_finset_1(D) & m1_subset_1(D, k1_zfmisc_1(u1_struct_0(A))))) | r4_waybel_0(A, B, C, D))) & (v4_waybel34(C, A, B) | (~((~(v1_finset_1(tptp_fun_D_5(C, B, A)) & m1_subset_1(tptp_fun_D_5(C, B, A), k1_zfmisc_1(u1_struct_0(A))))) | r4_waybel_0(A, B, C, tptp_fun_D_5(C, B, A)))))) <=> (((~v4_waybel34(C, A, B)) | ![D: $i] : (r4_waybel_0(A, B, C, D) | (~v1_finset_1(D)) | (~m1_subset_1(D, k1_zfmisc_1(u1_struct_0(A)))))) & (v4_waybel34(C, A, B) | (~(r4_waybel_0(A, B, C, tptp_fun_D_5(C, B, A)) | (~v1_finset_1(tptp_fun_D_5(C, B, A))) | (~m1_subset_1(tptp_fun_D_5(C, B, A), k1_zfmisc_1(u1_struct_0(A)))))))))), rewrite((((~v4_waybel34(C, A, B)) | ![D: $i] : (r4_waybel_0(A, B, C, D) | (~v1_finset_1(D)) | (~m1_subset_1(D, k1_zfmisc_1(u1_struct_0(A)))))) & (v4_waybel34(C, A, B) | (~(r4_waybel_0(A, B, C, tptp_fun_D_5(C, B, A)) | (~v1_finset_1(tptp_fun_D_5(C, B, A))) | (~m1_subset_1(tptp_fun_D_5(C, B, A), k1_zfmisc_1(u1_struct_0(A)))))))) <=> (~((~((~v4_waybel34(C, A, B)) | ![D: $i] : (r4_waybel_0(A, B, C, D) | (~v1_finset_1(D)) | (~m1_subset_1(D, k1_zfmisc_1(u1_struct_0(A))))))) | (~(v4_waybel34(C, A, B) | (~(r4_waybel_0(A, B, C, tptp_fun_D_5(C, B, A)) | (~v1_finset_1(tptp_fun_D_5(C, B, A))) | (~m1_subset_1(tptp_fun_D_5(C, B, A), k1_zfmisc_1(u1_struct_0(A))))))))))), ((((~v4_waybel34(C, A, B)) | ![D: $i] : ((~(v1_finset_1(D) & m1_subset_1(D, k1_zfmisc_1(u1_struct_0(A))))) | r4_waybel_0(A, B, C, D))) & (v4_waybel34(C, A, B) | (~((~(v1_finset_1(tptp_fun_D_5(C, B, A)) & m1_subset_1(tptp_fun_D_5(C, B, A), k1_zfmisc_1(u1_struct_0(A))))) | r4_waybel_0(A, B, C, tptp_fun_D_5(C, B, A)))))) <=> (~((~((~v4_waybel34(C, A, B)) | ![D: $i] : (r4_waybel_0(A, B, C, D) | (~v1_finset_1(D)) | (~m1_subset_1(D, k1_zfmisc_1(u1_struct_0(A))))))) | (~(v4_waybel34(C, A, B) | (~(r4_waybel_0(A, B, C, tptp_fun_D_5(C, B, A)) | (~v1_finset_1(tptp_fun_D_5(C, B, A))) | (~m1_subset_1(tptp_fun_D_5(C, B, A), k1_zfmisc_1(u1_struct_0(A)))))))))))), (((~(v1_funct_1(C) & v1_funct_2(C, u1_struct_0(A), u1_struct_0(B)) & m2_relset_1(C, u1_struct_0(A), u1_struct_0(B)))) | (((~v4_waybel34(C, A, B)) | ![D: $i] : ((~(v1_finset_1(D) & m1_subset_1(D, k1_zfmisc_1(u1_struct_0(A))))) | r4_waybel_0(A, B, C, D))) & (v4_waybel34(C, A, B) | (~((~(v1_finset_1(tptp_fun_D_5(C, B, A)) & m1_subset_1(tptp_fun_D_5(C, B, A), k1_zfmisc_1(u1_struct_0(A))))) | r4_waybel_0(A, B, C, tptp_fun_D_5(C, B, A))))))) <=> (((~v1_funct_1(C)) | (~v1_funct_2(C, u1_struct_0(A), u1_struct_0(B))) | (~m2_relset_1(C, u1_struct_0(A), u1_struct_0(B)))) | (~((~((~v4_waybel34(C, A, B)) | ![D: $i] : (r4_waybel_0(A, B, C, D) | (~v1_finset_1(D)) | (~m1_subset_1(D, k1_zfmisc_1(u1_struct_0(A))))))) | (~(v4_waybel34(C, A, B) | (~(r4_waybel_0(A, B, C, tptp_fun_D_5(C, B, A)) | (~v1_finset_1(tptp_fun_D_5(C, B, A))) | (~m1_subset_1(tptp_fun_D_5(C, B, A), k1_zfmisc_1(u1_struct_0(A))))))))))))), rewrite((((~v1_funct_1(C)) | (~v1_funct_2(C, u1_struct_0(A), u1_struct_0(B))) | (~m2_relset_1(C, u1_struct_0(A), u1_struct_0(B)))) | (~((~((~v4_waybel34(C, A, B)) | ![D: $i] : (r4_waybel_0(A, B, C, D) | (~v1_finset_1(D)) | (~m1_subset_1(D, k1_zfmisc_1(u1_struct_0(A))))))) | (~(v4_waybel34(C, A, B) | (~(r4_waybel_0(A, B, C, tptp_fun_D_5(C, B, A)) | (~v1_finset_1(tptp_fun_D_5(C, B, A))) | (~m1_subset_1(tptp_fun_D_5(C, B, A), k1_zfmisc_1(u1_struct_0(A))))))))))) <=> ((~v1_funct_1(C)) | (~v1_funct_2(C, u1_struct_0(A), u1_struct_0(B))) | (~m2_relset_1(C, u1_struct_0(A), u1_struct_0(B))) | (~((~((~v4_waybel34(C, A, B)) | ![D: $i] : (r4_waybel_0(A, B, C, D) | (~v1_finset_1(D)) | (~m1_subset_1(D, k1_zfmisc_1(u1_struct_0(A))))))) | (~(v4_waybel34(C, A, B) | (~(r4_waybel_0(A, B, C, tptp_fun_D_5(C, B, A)) | (~v1_finset_1(tptp_fun_D_5(C, B, A))) | (~m1_subset_1(tptp_fun_D_5(C, B, A), k1_zfmisc_1(u1_struct_0(A)))))))))))), (((~(v1_funct_1(C) & v1_funct_2(C, u1_struct_0(A), u1_struct_0(B)) & m2_relset_1(C, u1_struct_0(A), u1_struct_0(B)))) | (((~v4_waybel34(C, A, B)) | ![D: $i] : ((~(v1_finset_1(D) & m1_subset_1(D, k1_zfmisc_1(u1_struct_0(A))))) | r4_waybel_0(A, B, C, D))) & (v4_waybel34(C, A, B) | (~((~(v1_finset_1(tptp_fun_D_5(C, B, A)) & m1_subset_1(tptp_fun_D_5(C, B, A), k1_zfmisc_1(u1_struct_0(A))))) | r4_waybel_0(A, B, C, tptp_fun_D_5(C, B, A))))))) <=> ((~v1_funct_1(C)) | (~v1_funct_2(C, u1_struct_0(A), u1_struct_0(B))) | (~m2_relset_1(C, u1_struct_0(A), u1_struct_0(B))) | (~((~((~v4_waybel34(C, A, B)) | ![D: $i] : (r4_waybel_0(A, B, C, D) | (~v1_finset_1(D)) | (~m1_subset_1(D, k1_zfmisc_1(u1_struct_0(A))))))) | (~(v4_waybel34(C, A, B) | (~(r4_waybel_0(A, B, C, tptp_fun_D_5(C, B, A)) | (~v1_finset_1(tptp_fun_D_5(C, B, A))) | (~m1_subset_1(tptp_fun_D_5(C, B, A), k1_zfmisc_1(u1_struct_0(A)))))))))))))), (![C: $i] : ((~(v1_funct_1(C) & v1_funct_2(C, u1_struct_0(A), u1_struct_0(B)) & m2_relset_1(C, u1_struct_0(A), u1_struct_0(B)))) | (((~v4_waybel34(C, A, B)) | ![D: $i] : ((~(v1_finset_1(D) & m1_subset_1(D, k1_zfmisc_1(u1_struct_0(A))))) | r4_waybel_0(A, B, C, D))) & (v4_waybel34(C, A, B) | (~((~(v1_finset_1(tptp_fun_D_5(C, B, A)) & m1_subset_1(tptp_fun_D_5(C, B, A), k1_zfmisc_1(u1_struct_0(A))))) | r4_waybel_0(A, B, C, tptp_fun_D_5(C, B, A))))))) <=> ![C: $i] : ((~v1_funct_1(C)) | (~v1_funct_2(C, u1_struct_0(A), u1_struct_0(B))) | (~m2_relset_1(C, u1_struct_0(A), u1_struct_0(B))) | (~((~((~v4_waybel34(C, A, B)) | ![D: $i] : (r4_waybel_0(A, B, C, D) | (~v1_finset_1(D)) | (~m1_subset_1(D, k1_zfmisc_1(u1_struct_0(A))))))) | (~(v4_waybel34(C, A, B) | (~(r4_waybel_0(A, B, C, tptp_fun_D_5(C, B, A)) | (~v1_finset_1(tptp_fun_D_5(C, B, A))) | (~m1_subset_1(tptp_fun_D_5(C, B, A), k1_zfmisc_1(u1_struct_0(A))))))))))))), (((~((~v3_struct_0(B)) & l1_orders_2(B))) | ![C: $i] : ((~(v1_funct_1(C) & v1_funct_2(C, u1_struct_0(A), u1_struct_0(B)) & m2_relset_1(C, u1_struct_0(A), u1_struct_0(B)))) | (((~v4_waybel34(C, A, B)) | ![D: $i] : ((~(v1_finset_1(D) & m1_subset_1(D, k1_zfmisc_1(u1_struct_0(A))))) | r4_waybel_0(A, B, C, D))) & (v4_waybel34(C, A, B) | (~((~(v1_finset_1(tptp_fun_D_5(C, B, A)) & m1_subset_1(tptp_fun_D_5(C, B, A), k1_zfmisc_1(u1_struct_0(A))))) | r4_waybel_0(A, B, C, tptp_fun_D_5(C, B, A)))))))) <=> ((v3_struct_0(B) | (~l1_orders_2(B))) | ![C: $i] : ((~v1_funct_1(C)) | (~v1_funct_2(C, u1_struct_0(A), u1_struct_0(B))) | (~m2_relset_1(C, u1_struct_0(A), u1_struct_0(B))) | (~((~((~v4_waybel34(C, A, B)) | ![D: $i] : (r4_waybel_0(A, B, C, D) | (~v1_finset_1(D)) | (~m1_subset_1(D, k1_zfmisc_1(u1_struct_0(A))))))) | (~(v4_waybel34(C, A, B) | (~(r4_waybel_0(A, B, C, tptp_fun_D_5(C, B, A)) | (~v1_finset_1(tptp_fun_D_5(C, B, A))) | (~m1_subset_1(tptp_fun_D_5(C, B, A), k1_zfmisc_1(u1_struct_0(A)))))))))))))), rewrite(((v3_struct_0(B) | (~l1_orders_2(B))) | ![C: $i] : ((~v1_funct_1(C)) | (~v1_funct_2(C, u1_struct_0(A), u1_struct_0(B))) | (~m2_relset_1(C, u1_struct_0(A), u1_struct_0(B))) | (~((~((~v4_waybel34(C, A, B)) | ![D: $i] : (r4_waybel_0(A, B, C, D) | (~v1_finset_1(D)) | (~m1_subset_1(D, k1_zfmisc_1(u1_struct_0(A))))))) | (~(v4_waybel34(C, A, B) | (~(r4_waybel_0(A, B, C, tptp_fun_D_5(C, B, A)) | (~v1_finset_1(tptp_fun_D_5(C, B, A))) | (~m1_subset_1(tptp_fun_D_5(C, B, A), k1_zfmisc_1(u1_struct_0(A)))))))))))) <=> (v3_struct_0(B) | (~l1_orders_2(B)) | ![C: $i] : ((~v1_funct_1(C)) | (~v1_funct_2(C, u1_struct_0(A), u1_struct_0(B))) | (~m2_relset_1(C, u1_struct_0(A), u1_struct_0(B))) | (~((~((~v4_waybel34(C, A, B)) | ![D: $i] : (r4_waybel_0(A, B, C, D) | (~v1_finset_1(D)) | (~m1_subset_1(D, k1_zfmisc_1(u1_struct_0(A))))))) | (~(v4_waybel34(C, A, B) | (~(r4_waybel_0(A, B, C, tptp_fun_D_5(C, B, A)) | (~v1_finset_1(tptp_fun_D_5(C, B, A))) | (~m1_subset_1(tptp_fun_D_5(C, B, A), k1_zfmisc_1(u1_struct_0(A))))))))))))), (((~((~v3_struct_0(B)) & l1_orders_2(B))) | ![C: $i] : ((~(v1_funct_1(C) & v1_funct_2(C, u1_struct_0(A), u1_struct_0(B)) & m2_relset_1(C, u1_struct_0(A), u1_struct_0(B)))) | (((~v4_waybel34(C, A, B)) | ![D: $i] : ((~(v1_finset_1(D) & m1_subset_1(D, k1_zfmisc_1(u1_struct_0(A))))) | r4_waybel_0(A, B, C, D))) & (v4_waybel34(C, A, B) | (~((~(v1_finset_1(tptp_fun_D_5(C, B, A)) & m1_subset_1(tptp_fun_D_5(C, B, A), k1_zfmisc_1(u1_struct_0(A))))) | r4_waybel_0(A, B, C, tptp_fun_D_5(C, B, A)))))))) <=> (v3_struct_0(B) | (~l1_orders_2(B)) | ![C: $i] : ((~v1_funct_1(C)) | (~v1_funct_2(C, u1_struct_0(A), u1_struct_0(B))) | (~m2_relset_1(C, u1_struct_0(A), u1_struct_0(B))) | (~((~((~v4_waybel34(C, A, B)) | ![D: $i] : (r4_waybel_0(A, B, C, D) | (~v1_finset_1(D)) | (~m1_subset_1(D, k1_zfmisc_1(u1_struct_0(A))))))) | (~(v4_waybel34(C, A, B) | (~(r4_waybel_0(A, B, C, tptp_fun_D_5(C, B, A)) | (~v1_finset_1(tptp_fun_D_5(C, B, A))) | (~m1_subset_1(tptp_fun_D_5(C, B, A), k1_zfmisc_1(u1_struct_0(A))))))))))))))), (![B: $i] : ((~((~v3_struct_0(B)) & l1_orders_2(B))) | ![C: $i] : ((~(v1_funct_1(C) & v1_funct_2(C, u1_struct_0(A), u1_struct_0(B)) & m2_relset_1(C, u1_struct_0(A), u1_struct_0(B)))) | (((~v4_waybel34(C, A, B)) | ![D: $i] : ((~(v1_finset_1(D) & m1_subset_1(D, k1_zfmisc_1(u1_struct_0(A))))) | r4_waybel_0(A, B, C, D))) & (v4_waybel34(C, A, B) | (~((~(v1_finset_1(tptp_fun_D_5(C, B, A)) & m1_subset_1(tptp_fun_D_5(C, B, A), k1_zfmisc_1(u1_struct_0(A))))) | r4_waybel_0(A, B, C, tptp_fun_D_5(C, B, A)))))))) <=> ![B: $i] : (v3_struct_0(B) | (~l1_orders_2(B)) | ![C: $i] : ((~v1_funct_1(C)) | (~v1_funct_2(C, u1_struct_0(A), u1_struct_0(B))) | (~m2_relset_1(C, u1_struct_0(A), u1_struct_0(B))) | (~((~((~v4_waybel34(C, A, B)) | ![D: $i] : (r4_waybel_0(A, B, C, D) | (~v1_finset_1(D)) | (~m1_subset_1(D, k1_zfmisc_1(u1_struct_0(A))))))) | (~(v4_waybel34(C, A, B) | (~(r4_waybel_0(A, B, C, tptp_fun_D_5(C, B, A)) | (~v1_finset_1(tptp_fun_D_5(C, B, A))) | (~m1_subset_1(tptp_fun_D_5(C, B, A), k1_zfmisc_1(u1_struct_0(A)))))))))))))), (((~((~v3_struct_0(A)) & l1_orders_2(A))) | ![B: $i] : ((~((~v3_struct_0(B)) & l1_orders_2(B))) | ![C: $i] : ((~(v1_funct_1(C) & v1_funct_2(C, u1_struct_0(A), u1_struct_0(B)) & m2_relset_1(C, u1_struct_0(A), u1_struct_0(B)))) | (((~v4_waybel34(C, A, B)) | ![D: $i] : ((~(v1_finset_1(D) & m1_subset_1(D, k1_zfmisc_1(u1_struct_0(A))))) | r4_waybel_0(A, B, C, D))) & (v4_waybel34(C, A, B) | (~((~(v1_finset_1(tptp_fun_D_5(C, B, A)) & m1_subset_1(tptp_fun_D_5(C, B, A), k1_zfmisc_1(u1_struct_0(A))))) | r4_waybel_0(A, B, C, tptp_fun_D_5(C, B, A))))))))) <=> ((v3_struct_0(A) | (~l1_orders_2(A))) | ![B: $i] : (v3_struct_0(B) | (~l1_orders_2(B)) | ![C: $i] : ((~v1_funct_1(C)) | (~v1_funct_2(C, u1_struct_0(A), u1_struct_0(B))) | (~m2_relset_1(C, u1_struct_0(A), u1_struct_0(B))) | (~((~((~v4_waybel34(C, A, B)) | ![D: $i] : (r4_waybel_0(A, B, C, D) | (~v1_finset_1(D)) | (~m1_subset_1(D, k1_zfmisc_1(u1_struct_0(A))))))) | (~(v4_waybel34(C, A, B) | (~(r4_waybel_0(A, B, C, tptp_fun_D_5(C, B, A)) | (~v1_finset_1(tptp_fun_D_5(C, B, A))) | (~m1_subset_1(tptp_fun_D_5(C, B, A), k1_zfmisc_1(u1_struct_0(A))))))))))))))), rewrite(((v3_struct_0(A) | (~l1_orders_2(A))) | ![B: $i] : (v3_struct_0(B) | (~l1_orders_2(B)) | ![C: $i] : ((~v1_funct_1(C)) | (~v1_funct_2(C, u1_struct_0(A), u1_struct_0(B))) | (~m2_relset_1(C, u1_struct_0(A), u1_struct_0(B))) | (~((~((~v4_waybel34(C, A, B)) | ![D: $i] : (r4_waybel_0(A, B, C, D) | (~v1_finset_1(D)) | (~m1_subset_1(D, k1_zfmisc_1(u1_struct_0(A))))))) | (~(v4_waybel34(C, A, B) | (~(r4_waybel_0(A, B, C, tptp_fun_D_5(C, B, A)) | (~v1_finset_1(tptp_fun_D_5(C, B, A))) | (~m1_subset_1(tptp_fun_D_5(C, B, A), k1_zfmisc_1(u1_struct_0(A))))))))))))) <=> (v3_struct_0(A) | (~l1_orders_2(A)) | ![B: $i] : (v3_struct_0(B) | (~l1_orders_2(B)) | ![C: $i] : ((~v1_funct_1(C)) | (~v1_funct_2(C, u1_struct_0(A), u1_struct_0(B))) | (~m2_relset_1(C, u1_struct_0(A), u1_struct_0(B))) | (~((~((~v4_waybel34(C, A, B)) | ![D: $i] : (r4_waybel_0(A, B, C, D) | (~v1_finset_1(D)) | (~m1_subset_1(D, k1_zfmisc_1(u1_struct_0(A))))))) | (~(v4_waybel34(C, A, B) | (~(r4_waybel_0(A, B, C, tptp_fun_D_5(C, B, A)) | (~v1_finset_1(tptp_fun_D_5(C, B, A))) | (~m1_subset_1(tptp_fun_D_5(C, B, A), k1_zfmisc_1(u1_struct_0(A)))))))))))))), (((~((~v3_struct_0(A)) & l1_orders_2(A))) | ![B: $i] : ((~((~v3_struct_0(B)) & l1_orders_2(B))) | ![C: $i] : ((~(v1_funct_1(C) & v1_funct_2(C, u1_struct_0(A), u1_struct_0(B)) & m2_relset_1(C, u1_struct_0(A), u1_struct_0(B)))) | (((~v4_waybel34(C, A, B)) | ![D: $i] : ((~(v1_finset_1(D) & m1_subset_1(D, k1_zfmisc_1(u1_struct_0(A))))) | r4_waybel_0(A, B, C, D))) & (v4_waybel34(C, A, B) | (~((~(v1_finset_1(tptp_fun_D_5(C, B, A)) & m1_subset_1(tptp_fun_D_5(C, B, A), k1_zfmisc_1(u1_struct_0(A))))) | r4_waybel_0(A, B, C, tptp_fun_D_5(C, B, A))))))))) <=> (v3_struct_0(A) | (~l1_orders_2(A)) | ![B: $i] : (v3_struct_0(B) | (~l1_orders_2(B)) | ![C: $i] : ((~v1_funct_1(C)) | (~v1_funct_2(C, u1_struct_0(A), u1_struct_0(B))) | (~m2_relset_1(C, u1_struct_0(A), u1_struct_0(B))) | (~((~((~v4_waybel34(C, A, B)) | ![D: $i] : (r4_waybel_0(A, B, C, D) | (~v1_finset_1(D)) | (~m1_subset_1(D, k1_zfmisc_1(u1_struct_0(A))))))) | (~(v4_waybel34(C, A, B) | (~(r4_waybel_0(A, B, C, tptp_fun_D_5(C, B, A)) | (~v1_finset_1(tptp_fun_D_5(C, B, A))) | (~m1_subset_1(tptp_fun_D_5(C, B, A), k1_zfmisc_1(u1_struct_0(A)))))))))))))))),
% 0.41/0.61 inference(bind,[status(th)],[])).
% 0.41/0.61 tff(198,plain,
% 0.41/0.61 (![A: $i] : ((~((~v3_struct_0(A)) & l1_orders_2(A))) | ![B: $i] : ((~((~v3_struct_0(B)) & l1_orders_2(B))) | ![C: $i] : ((~(v1_funct_1(C) & v1_funct_2(C, u1_struct_0(A), u1_struct_0(B)) & m2_relset_1(C, u1_struct_0(A), u1_struct_0(B)))) | (((~v4_waybel34(C, A, B)) | ![D: $i] : ((~(v1_finset_1(D) & m1_subset_1(D, k1_zfmisc_1(u1_struct_0(A))))) | r4_waybel_0(A, B, C, D))) & (v4_waybel34(C, A, B) | (~((~(v1_finset_1(tptp_fun_D_5(C, B, A)) & m1_subset_1(tptp_fun_D_5(C, B, A), k1_zfmisc_1(u1_struct_0(A))))) | r4_waybel_0(A, B, C, tptp_fun_D_5(C, B, A))))))))) <=> ![A: $i] : (v3_struct_0(A) | (~l1_orders_2(A)) | ![B: $i] : (v3_struct_0(B) | (~l1_orders_2(B)) | ![C: $i] : ((~v1_funct_1(C)) | (~v1_funct_2(C, u1_struct_0(A), u1_struct_0(B))) | (~m2_relset_1(C, u1_struct_0(A), u1_struct_0(B))) | (~((~((~v4_waybel34(C, A, B)) | ![D: $i] : (r4_waybel_0(A, B, C, D) | (~v1_finset_1(D)) | (~m1_subset_1(D, k1_zfmisc_1(u1_struct_0(A))))))) | (~(v4_waybel34(C, A, B) | (~(r4_waybel_0(A, B, C, tptp_fun_D_5(C, B, A)) | (~v1_finset_1(tptp_fun_D_5(C, B, A))) | (~m1_subset_1(tptp_fun_D_5(C, B, A), k1_zfmisc_1(u1_struct_0(A)))))))))))))),
% 0.41/0.61 inference(quant_intro,[status(thm)],[197])).
% 0.41/0.61 tff(199,plain,
% 0.41/0.61 (![A: $i] : ((~((~v3_struct_0(A)) & l1_orders_2(A))) | ![B: $i] : ((~((~v3_struct_0(B)) & l1_orders_2(B))) | ![C: $i] : ((~(v1_funct_1(C) & v1_funct_2(C, u1_struct_0(A), u1_struct_0(B)) & m2_relset_1(C, u1_struct_0(A), u1_struct_0(B)))) | (v4_waybel34(C, A, B) <=> ![D: $i] : ((~(v1_finset_1(D) & m1_subset_1(D, k1_zfmisc_1(u1_struct_0(A))))) | r4_waybel_0(A, B, C, D)))))) <=> ![A: $i] : ((~((~v3_struct_0(A)) & l1_orders_2(A))) | ![B: $i] : ((~((~v3_struct_0(B)) & l1_orders_2(B))) | ![C: $i] : ((~(v1_funct_1(C) & v1_funct_2(C, u1_struct_0(A), u1_struct_0(B)) & m2_relset_1(C, u1_struct_0(A), u1_struct_0(B)))) | (v4_waybel34(C, A, B) <=> ![D: $i] : ((~(v1_finset_1(D) & m1_subset_1(D, k1_zfmisc_1(u1_struct_0(A))))) | r4_waybel_0(A, B, C, D))))))),
% 0.41/0.61 inference(rewrite,[status(thm)],[])).
% 0.41/0.61 tff(200,plain,
% 0.41/0.61 (^[A: $i] : trans(monotonicity(quant_intro(proof_bind(^[B: $i] : trans(monotonicity(quant_intro(proof_bind(^[C: $i] : trans(monotonicity(rewrite(((v1_funct_1(C) & v1_funct_2(C, u1_struct_0(A), u1_struct_0(B))) & m2_relset_1(C, u1_struct_0(A), u1_struct_0(B))) <=> (v1_funct_1(C) & v1_funct_2(C, u1_struct_0(A), u1_struct_0(B)) & m2_relset_1(C, u1_struct_0(A), u1_struct_0(B)))), rewrite((v4_waybel34(C, A, B) <=> ![D: $i] : ((v1_finset_1(D) & m1_subset_1(D, k1_zfmisc_1(u1_struct_0(A)))) => r4_waybel_0(A, B, C, D))) <=> (v4_waybel34(C, A, B) <=> ![D: $i] : ((~(v1_finset_1(D) & m1_subset_1(D, k1_zfmisc_1(u1_struct_0(A))))) | r4_waybel_0(A, B, C, D)))), ((((v1_funct_1(C) & v1_funct_2(C, u1_struct_0(A), u1_struct_0(B))) & m2_relset_1(C, u1_struct_0(A), u1_struct_0(B))) => (v4_waybel34(C, A, B) <=> ![D: $i] : ((v1_finset_1(D) & m1_subset_1(D, k1_zfmisc_1(u1_struct_0(A)))) => r4_waybel_0(A, B, C, D)))) <=> ((v1_funct_1(C) & v1_funct_2(C, u1_struct_0(A), u1_struct_0(B)) & m2_relset_1(C, u1_struct_0(A), u1_struct_0(B))) => (v4_waybel34(C, A, B) <=> ![D: $i] : ((~(v1_finset_1(D) & m1_subset_1(D, k1_zfmisc_1(u1_struct_0(A))))) | r4_waybel_0(A, B, C, D)))))), rewrite(((v1_funct_1(C) & v1_funct_2(C, u1_struct_0(A), u1_struct_0(B)) & m2_relset_1(C, u1_struct_0(A), u1_struct_0(B))) => (v4_waybel34(C, A, B) <=> ![D: $i] : ((~(v1_finset_1(D) & m1_subset_1(D, k1_zfmisc_1(u1_struct_0(A))))) | r4_waybel_0(A, B, C, D)))) <=> ((~(v1_funct_1(C) & v1_funct_2(C, u1_struct_0(A), u1_struct_0(B)) & m2_relset_1(C, u1_struct_0(A), u1_struct_0(B)))) | (v4_waybel34(C, A, B) <=> ![D: $i] : ((~(v1_finset_1(D) & m1_subset_1(D, k1_zfmisc_1(u1_struct_0(A))))) | r4_waybel_0(A, B, C, D))))), ((((v1_funct_1(C) & v1_funct_2(C, u1_struct_0(A), u1_struct_0(B))) & m2_relset_1(C, u1_struct_0(A), u1_struct_0(B))) => (v4_waybel34(C, A, B) <=> ![D: $i] : ((v1_finset_1(D) & m1_subset_1(D, k1_zfmisc_1(u1_struct_0(A)))) => r4_waybel_0(A, B, C, D)))) <=> ((~(v1_funct_1(C) & v1_funct_2(C, u1_struct_0(A), u1_struct_0(B)) & m2_relset_1(C, u1_struct_0(A), u1_struct_0(B)))) | (v4_waybel34(C, A, B) <=> ![D: $i] : ((~(v1_finset_1(D) & m1_subset_1(D, k1_zfmisc_1(u1_struct_0(A))))) | r4_waybel_0(A, B, C, D))))))), (![C: $i] : (((v1_funct_1(C) & v1_funct_2(C, u1_struct_0(A), u1_struct_0(B))) & m2_relset_1(C, u1_struct_0(A), u1_struct_0(B))) => (v4_waybel34(C, A, B) <=> ![D: $i] : ((v1_finset_1(D) & m1_subset_1(D, k1_zfmisc_1(u1_struct_0(A)))) => r4_waybel_0(A, B, C, D)))) <=> ![C: $i] : ((~(v1_funct_1(C) & v1_funct_2(C, u1_struct_0(A), u1_struct_0(B)) & m2_relset_1(C, u1_struct_0(A), u1_struct_0(B)))) | (v4_waybel34(C, A, B) <=> ![D: $i] : ((~(v1_finset_1(D) & m1_subset_1(D, k1_zfmisc_1(u1_struct_0(A))))) | r4_waybel_0(A, B, C, D)))))), ((((~v3_struct_0(B)) & l1_orders_2(B)) => ![C: $i] : (((v1_funct_1(C) & v1_funct_2(C, u1_struct_0(A), u1_struct_0(B))) & m2_relset_1(C, u1_struct_0(A), u1_struct_0(B))) => (v4_waybel34(C, A, B) <=> ![D: $i] : ((v1_finset_1(D) & m1_subset_1(D, k1_zfmisc_1(u1_struct_0(A)))) => r4_waybel_0(A, B, C, D))))) <=> (((~v3_struct_0(B)) & l1_orders_2(B)) => ![C: $i] : ((~(v1_funct_1(C) & v1_funct_2(C, u1_struct_0(A), u1_struct_0(B)) & m2_relset_1(C, u1_struct_0(A), u1_struct_0(B)))) | (v4_waybel34(C, A, B) <=> ![D: $i] : ((~(v1_finset_1(D) & m1_subset_1(D, k1_zfmisc_1(u1_struct_0(A))))) | r4_waybel_0(A, B, C, D))))))), rewrite((((~v3_struct_0(B)) & l1_orders_2(B)) => ![C: $i] : ((~(v1_funct_1(C) & v1_funct_2(C, u1_struct_0(A), u1_struct_0(B)) & m2_relset_1(C, u1_struct_0(A), u1_struct_0(B)))) | (v4_waybel34(C, A, B) <=> ![D: $i] : ((~(v1_finset_1(D) & m1_subset_1(D, k1_zfmisc_1(u1_struct_0(A))))) | r4_waybel_0(A, B, C, D))))) <=> ((~((~v3_struct_0(B)) & l1_orders_2(B))) | ![C: $i] : ((~(v1_funct_1(C) & v1_funct_2(C, u1_struct_0(A), u1_struct_0(B)) & m2_relset_1(C, u1_struct_0(A), u1_struct_0(B)))) | (v4_waybel34(C, A, B) <=> ![D: $i] : ((~(v1_finset_1(D) & m1_subset_1(D, k1_zfmisc_1(u1_struct_0(A))))) | r4_waybel_0(A, B, C, D)))))), ((((~v3_struct_0(B)) & l1_orders_2(B)) => ![C: $i] : (((v1_funct_1(C) & v1_funct_2(C, u1_struct_0(A), u1_struct_0(B))) & m2_relset_1(C, u1_struct_0(A), u1_struct_0(B))) => (v4_waybel34(C, A, B) <=> ![D: $i] : ((v1_finset_1(D) & m1_subset_1(D, k1_zfmisc_1(u1_struct_0(A)))) => r4_waybel_0(A, B, C, D))))) <=> ((~((~v3_struct_0(B)) & l1_orders_2(B))) | ![C: $i] : ((~(v1_funct_1(C) & v1_funct_2(C, u1_struct_0(A), u1_struct_0(B)) & m2_relset_1(C, u1_struct_0(A), u1_struct_0(B)))) | (v4_waybel34(C, A, B) <=> ![D: $i] : ((~(v1_finset_1(D) & m1_subset_1(D, k1_zfmisc_1(u1_struct_0(A))))) | r4_waybel_0(A, B, C, D)))))))), (![B: $i] : (((~v3_struct_0(B)) & l1_orders_2(B)) => ![C: $i] : (((v1_funct_1(C) & v1_funct_2(C, u1_struct_0(A), u1_struct_0(B))) & m2_relset_1(C, u1_struct_0(A), u1_struct_0(B))) => (v4_waybel34(C, A, B) <=> ![D: $i] : ((v1_finset_1(D) & m1_subset_1(D, k1_zfmisc_1(u1_struct_0(A)))) => r4_waybel_0(A, B, C, D))))) <=> ![B: $i] : ((~((~v3_struct_0(B)) & l1_orders_2(B))) | ![C: $i] : ((~(v1_funct_1(C) & v1_funct_2(C, u1_struct_0(A), u1_struct_0(B)) & m2_relset_1(C, u1_struct_0(A), u1_struct_0(B)))) | (v4_waybel34(C, A, B) <=> ![D: $i] : ((~(v1_finset_1(D) & m1_subset_1(D, k1_zfmisc_1(u1_struct_0(A))))) | r4_waybel_0(A, B, C, D))))))), ((((~v3_struct_0(A)) & l1_orders_2(A)) => ![B: $i] : (((~v3_struct_0(B)) & l1_orders_2(B)) => ![C: $i] : (((v1_funct_1(C) & v1_funct_2(C, u1_struct_0(A), u1_struct_0(B))) & m2_relset_1(C, u1_struct_0(A), u1_struct_0(B))) => (v4_waybel34(C, A, B) <=> ![D: $i] : ((v1_finset_1(D) & m1_subset_1(D, k1_zfmisc_1(u1_struct_0(A)))) => r4_waybel_0(A, B, C, D)))))) <=> (((~v3_struct_0(A)) & l1_orders_2(A)) => ![B: $i] : ((~((~v3_struct_0(B)) & l1_orders_2(B))) | ![C: $i] : ((~(v1_funct_1(C) & v1_funct_2(C, u1_struct_0(A), u1_struct_0(B)) & m2_relset_1(C, u1_struct_0(A), u1_struct_0(B)))) | (v4_waybel34(C, A, B) <=> ![D: $i] : ((~(v1_finset_1(D) & m1_subset_1(D, k1_zfmisc_1(u1_struct_0(A))))) | r4_waybel_0(A, B, C, D)))))))), rewrite((((~v3_struct_0(A)) & l1_orders_2(A)) => ![B: $i] : ((~((~v3_struct_0(B)) & l1_orders_2(B))) | ![C: $i] : ((~(v1_funct_1(C) & v1_funct_2(C, u1_struct_0(A), u1_struct_0(B)) & m2_relset_1(C, u1_struct_0(A), u1_struct_0(B)))) | (v4_waybel34(C, A, B) <=> ![D: $i] : ((~(v1_finset_1(D) & m1_subset_1(D, k1_zfmisc_1(u1_struct_0(A))))) | r4_waybel_0(A, B, C, D)))))) <=> ((~((~v3_struct_0(A)) & l1_orders_2(A))) | ![B: $i] : ((~((~v3_struct_0(B)) & l1_orders_2(B))) | ![C: $i] : ((~(v1_funct_1(C) & v1_funct_2(C, u1_struct_0(A), u1_struct_0(B)) & m2_relset_1(C, u1_struct_0(A), u1_struct_0(B)))) | (v4_waybel34(C, A, B) <=> ![D: $i] : ((~(v1_finset_1(D) & m1_subset_1(D, k1_zfmisc_1(u1_struct_0(A))))) | r4_waybel_0(A, B, C, D))))))), ((((~v3_struct_0(A)) & l1_orders_2(A)) => ![B: $i] : (((~v3_struct_0(B)) & l1_orders_2(B)) => ![C: $i] : (((v1_funct_1(C) & v1_funct_2(C, u1_struct_0(A), u1_struct_0(B))) & m2_relset_1(C, u1_struct_0(A), u1_struct_0(B))) => (v4_waybel34(C, A, B) <=> ![D: $i] : ((v1_finset_1(D) & m1_subset_1(D, k1_zfmisc_1(u1_struct_0(A)))) => r4_waybel_0(A, B, C, D)))))) <=> ((~((~v3_struct_0(A)) & l1_orders_2(A))) | ![B: $i] : ((~((~v3_struct_0(B)) & l1_orders_2(B))) | ![C: $i] : ((~(v1_funct_1(C) & v1_funct_2(C, u1_struct_0(A), u1_struct_0(B)) & m2_relset_1(C, u1_struct_0(A), u1_struct_0(B)))) | (v4_waybel34(C, A, B) <=> ![D: $i] : ((~(v1_finset_1(D) & m1_subset_1(D, k1_zfmisc_1(u1_struct_0(A))))) | r4_waybel_0(A, B, C, D))))))))),
% 0.41/0.62 inference(bind,[status(th)],[])).
% 0.41/0.62 tff(201,plain,
% 0.41/0.62 (![A: $i] : (((~v3_struct_0(A)) & l1_orders_2(A)) => ![B: $i] : (((~v3_struct_0(B)) & l1_orders_2(B)) => ![C: $i] : (((v1_funct_1(C) & v1_funct_2(C, u1_struct_0(A), u1_struct_0(B))) & m2_relset_1(C, u1_struct_0(A), u1_struct_0(B))) => (v4_waybel34(C, A, B) <=> ![D: $i] : ((v1_finset_1(D) & m1_subset_1(D, k1_zfmisc_1(u1_struct_0(A)))) => r4_waybel_0(A, B, C, D)))))) <=> ![A: $i] : ((~((~v3_struct_0(A)) & l1_orders_2(A))) | ![B: $i] : ((~((~v3_struct_0(B)) & l1_orders_2(B))) | ![C: $i] : ((~(v1_funct_1(C) & v1_funct_2(C, u1_struct_0(A), u1_struct_0(B)) & m2_relset_1(C, u1_struct_0(A), u1_struct_0(B)))) | (v4_waybel34(C, A, B) <=> ![D: $i] : ((~(v1_finset_1(D) & m1_subset_1(D, k1_zfmisc_1(u1_struct_0(A))))) | r4_waybel_0(A, B, C, D))))))),
% 0.41/0.62 inference(quant_intro,[status(thm)],[200])).
% 0.41/0.62 tff(202,axiom,(![A: $i] : (((~v3_struct_0(A)) & l1_orders_2(A)) => ![B: $i] : (((~v3_struct_0(B)) & l1_orders_2(B)) => ![C: $i] : (((v1_funct_1(C) & v1_funct_2(C, u1_struct_0(A), u1_struct_0(B))) & m2_relset_1(C, u1_struct_0(A), u1_struct_0(B))) => (v4_waybel34(C, A, B) <=> ![D: $i] : ((v1_finset_1(D) & m1_subset_1(D, k1_zfmisc_1(u1_struct_0(A)))) => r4_waybel_0(A, B, C, D))))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','d15_waybel34')).
% 0.41/0.62 tff(203,plain,
% 0.41/0.62 (![A: $i] : ((~((~v3_struct_0(A)) & l1_orders_2(A))) | ![B: $i] : ((~((~v3_struct_0(B)) & l1_orders_2(B))) | ![C: $i] : ((~(v1_funct_1(C) & v1_funct_2(C, u1_struct_0(A), u1_struct_0(B)) & m2_relset_1(C, u1_struct_0(A), u1_struct_0(B)))) | (v4_waybel34(C, A, B) <=> ![D: $i] : ((~(v1_finset_1(D) & m1_subset_1(D, k1_zfmisc_1(u1_struct_0(A))))) | r4_waybel_0(A, B, C, D))))))),
% 0.41/0.62 inference(modus_ponens,[status(thm)],[202, 201])).
% 0.41/0.62 tff(204,plain,
% 0.41/0.62 (![A: $i] : ((~((~v3_struct_0(A)) & l1_orders_2(A))) | ![B: $i] : ((~((~v3_struct_0(B)) & l1_orders_2(B))) | ![C: $i] : ((~(v1_funct_1(C) & v1_funct_2(C, u1_struct_0(A), u1_struct_0(B)) & m2_relset_1(C, u1_struct_0(A), u1_struct_0(B)))) | (v4_waybel34(C, A, B) <=> ![D: $i] : ((~(v1_finset_1(D) & m1_subset_1(D, k1_zfmisc_1(u1_struct_0(A))))) | r4_waybel_0(A, B, C, D))))))),
% 0.41/0.62 inference(modus_ponens,[status(thm)],[203, 199])).
% 0.41/0.62 tff(205,plain,(
% 0.41/0.62 ![A: $i] : ((~((~v3_struct_0(A)) & l1_orders_2(A))) | ![B: $i] : ((~((~v3_struct_0(B)) & l1_orders_2(B))) | ![C: $i] : ((~(v1_funct_1(C) & v1_funct_2(C, u1_struct_0(A), u1_struct_0(B)) & m2_relset_1(C, u1_struct_0(A), u1_struct_0(B)))) | (((~v4_waybel34(C, A, B)) | ![D: $i] : ((~(v1_finset_1(D) & m1_subset_1(D, k1_zfmisc_1(u1_struct_0(A))))) | r4_waybel_0(A, B, C, D))) & (v4_waybel34(C, A, B) | (~((~(v1_finset_1(tptp_fun_D_5(C, B, A)) & m1_subset_1(tptp_fun_D_5(C, B, A), k1_zfmisc_1(u1_struct_0(A))))) | r4_waybel_0(A, B, C, tptp_fun_D_5(C, B, A)))))))))),
% 0.41/0.62 inference(skolemize,[status(sab)],[204])).
% 0.41/0.62 tff(206,plain,
% 0.41/0.62 (![A: $i] : (v3_struct_0(A) | (~l1_orders_2(A)) | ![B: $i] : (v3_struct_0(B) | (~l1_orders_2(B)) | ![C: $i] : ((~v1_funct_1(C)) | (~v1_funct_2(C, u1_struct_0(A), u1_struct_0(B))) | (~m2_relset_1(C, u1_struct_0(A), u1_struct_0(B))) | (~((~((~v4_waybel34(C, A, B)) | ![D: $i] : (r4_waybel_0(A, B, C, D) | (~v1_finset_1(D)) | (~m1_subset_1(D, k1_zfmisc_1(u1_struct_0(A))))))) | (~(v4_waybel34(C, A, B) | (~(r4_waybel_0(A, B, C, tptp_fun_D_5(C, B, A)) | (~v1_finset_1(tptp_fun_D_5(C, B, A))) | (~m1_subset_1(tptp_fun_D_5(C, B, A), k1_zfmisc_1(u1_struct_0(A)))))))))))))),
% 0.41/0.62 inference(modus_ponens,[status(thm)],[205, 198])).
% 0.41/0.62 tff(207,plain,
% 0.41/0.62 (![A: $i] : (v3_struct_0(A) | (~l1_orders_2(A)) | ![B: $i] : (v3_struct_0(B) | (~l1_orders_2(B)) | ![C: $i] : ((~v1_funct_1(C)) | (~v1_funct_2(C, u1_struct_0(A), u1_struct_0(B))) | (~m2_relset_1(C, u1_struct_0(A), u1_struct_0(B))) | (~((~((~v4_waybel34(C, A, B)) | ![D: $i] : (r4_waybel_0(A, B, C, D) | (~v1_finset_1(D)) | (~m1_subset_1(D, k1_zfmisc_1(u1_struct_0(A))))))) | (~(v4_waybel34(C, A, B) | (~(r4_waybel_0(A, B, C, tptp_fun_D_5(C, B, A)) | (~v1_finset_1(tptp_fun_D_5(C, B, A))) | (~m1_subset_1(tptp_fun_D_5(C, B, A), k1_zfmisc_1(u1_struct_0(A)))))))))))))),
% 0.41/0.62 inference(modus_ponens,[status(thm)],[206, 196])).
% 0.41/0.62 tff(208,plain,
% 0.41/0.62 (~v3_struct_0(A!0)),
% 0.41/0.62 inference(and_elim,[status(thm)],[30])).
% 0.41/0.62 tff(209,plain,
% 0.41/0.62 (((~![A: $i] : (v3_struct_0(A) | (~l1_orders_2(A)) | ![B: $i] : (v3_struct_0(B) | (~l1_orders_2(B)) | ![C: $i] : ((~v1_funct_1(C)) | (~v1_funct_2(C, u1_struct_0(A), u1_struct_0(B))) | (~m2_relset_1(C, u1_struct_0(A), u1_struct_0(B))) | (~((~((~v4_waybel34(C, A, B)) | ![D: $i] : (r4_waybel_0(A, B, C, D) | (~v1_finset_1(D)) | (~m1_subset_1(D, k1_zfmisc_1(u1_struct_0(A))))))) | (~(v4_waybel34(C, A, B) | (~(r4_waybel_0(A, B, C, tptp_fun_D_5(C, B, A)) | (~v1_finset_1(tptp_fun_D_5(C, B, A))) | (~m1_subset_1(tptp_fun_D_5(C, B, A), k1_zfmisc_1(u1_struct_0(A)))))))))))))) | (v3_struct_0(A!0) | (~l1_orders_2(A!0)) | ![B: $i] : (v3_struct_0(B) | (~l1_orders_2(B)) | ![C: $i] : ((~v1_funct_1(C)) | (~m2_relset_1(C, u1_struct_0(A!0), u1_struct_0(B))) | (~v1_funct_2(C, u1_struct_0(A!0), u1_struct_0(B))) | (~((~((~v4_waybel34(C, A!0, B)) | ![D: $i] : ((~v1_finset_1(D)) | (~m1_subset_1(D, k1_zfmisc_1(u1_struct_0(A!0)))) | r4_waybel_0(A!0, B, C, D)))) | (~(v4_waybel34(C, A!0, B) | (~((~m1_subset_1(tptp_fun_D_5(C, B, A!0), k1_zfmisc_1(u1_struct_0(A!0)))) | (~v1_finset_1(tptp_fun_D_5(C, B, A!0))) | r4_waybel_0(A!0, B, C, tptp_fun_D_5(C, B, A!0)))))))))))) <=> ((~![A: $i] : (v3_struct_0(A) | (~l1_orders_2(A)) | ![B: $i] : (v3_struct_0(B) | (~l1_orders_2(B)) | ![C: $i] : ((~v1_funct_1(C)) | (~v1_funct_2(C, u1_struct_0(A), u1_struct_0(B))) | (~m2_relset_1(C, u1_struct_0(A), u1_struct_0(B))) | (~((~((~v4_waybel34(C, A, B)) | ![D: $i] : (r4_waybel_0(A, B, C, D) | (~v1_finset_1(D)) | (~m1_subset_1(D, k1_zfmisc_1(u1_struct_0(A))))))) | (~(v4_waybel34(C, A, B) | (~(r4_waybel_0(A, B, C, tptp_fun_D_5(C, B, A)) | (~v1_finset_1(tptp_fun_D_5(C, B, A))) | (~m1_subset_1(tptp_fun_D_5(C, B, A), k1_zfmisc_1(u1_struct_0(A)))))))))))))) | v3_struct_0(A!0) | (~l1_orders_2(A!0)) | ![B: $i] : (v3_struct_0(B) | (~l1_orders_2(B)) | ![C: $i] : ((~v1_funct_1(C)) | (~m2_relset_1(C, u1_struct_0(A!0), u1_struct_0(B))) | (~v1_funct_2(C, u1_struct_0(A!0), u1_struct_0(B))) | (~((~((~v4_waybel34(C, A!0, B)) | ![D: $i] : ((~v1_finset_1(D)) | (~m1_subset_1(D, k1_zfmisc_1(u1_struct_0(A!0)))) | r4_waybel_0(A!0, B, C, D)))) | (~(v4_waybel34(C, A!0, B) | (~((~m1_subset_1(tptp_fun_D_5(C, B, A!0), k1_zfmisc_1(u1_struct_0(A!0)))) | (~v1_finset_1(tptp_fun_D_5(C, B, A!0))) | r4_waybel_0(A!0, B, C, tptp_fun_D_5(C, B, A!0)))))))))))),
% 0.41/0.62 inference(rewrite,[status(thm)],[])).
% 0.41/0.62 tff(210,plain,
% 0.41/0.62 ((v3_struct_0(A!0) | (~l1_orders_2(A!0)) | ![B: $i] : (v3_struct_0(B) | (~l1_orders_2(B)) | ![C: $i] : ((~v1_funct_1(C)) | (~v1_funct_2(C, u1_struct_0(A!0), u1_struct_0(B))) | (~m2_relset_1(C, u1_struct_0(A!0), u1_struct_0(B))) | (~((~((~v4_waybel34(C, A!0, B)) | ![D: $i] : (r4_waybel_0(A!0, B, C, D) | (~v1_finset_1(D)) | (~m1_subset_1(D, k1_zfmisc_1(u1_struct_0(A!0))))))) | (~(v4_waybel34(C, A!0, B) | (~(r4_waybel_0(A!0, B, C, tptp_fun_D_5(C, B, A!0)) | (~v1_finset_1(tptp_fun_D_5(C, B, A!0))) | (~m1_subset_1(tptp_fun_D_5(C, B, A!0), k1_zfmisc_1(u1_struct_0(A!0))))))))))))) <=> (v3_struct_0(A!0) | (~l1_orders_2(A!0)) | ![B: $i] : (v3_struct_0(B) | (~l1_orders_2(B)) | ![C: $i] : ((~v1_funct_1(C)) | (~m2_relset_1(C, u1_struct_0(A!0), u1_struct_0(B))) | (~v1_funct_2(C, u1_struct_0(A!0), u1_struct_0(B))) | (~((~((~v4_waybel34(C, A!0, B)) | ![D: $i] : ((~v1_finset_1(D)) | (~m1_subset_1(D, k1_zfmisc_1(u1_struct_0(A!0)))) | r4_waybel_0(A!0, B, C, D)))) | (~(v4_waybel34(C, A!0, B) | (~((~m1_subset_1(tptp_fun_D_5(C, B, A!0), k1_zfmisc_1(u1_struct_0(A!0)))) | (~v1_finset_1(tptp_fun_D_5(C, B, A!0))) | r4_waybel_0(A!0, B, C, tptp_fun_D_5(C, B, A!0)))))))))))),
% 0.41/0.62 inference(rewrite,[status(thm)],[])).
% 0.41/0.62 tff(211,plain,
% 0.41/0.62 (((~![A: $i] : (v3_struct_0(A) | (~l1_orders_2(A)) | ![B: $i] : (v3_struct_0(B) | (~l1_orders_2(B)) | ![C: $i] : ((~v1_funct_1(C)) | (~v1_funct_2(C, u1_struct_0(A), u1_struct_0(B))) | (~m2_relset_1(C, u1_struct_0(A), u1_struct_0(B))) | (~((~((~v4_waybel34(C, A, B)) | ![D: $i] : (r4_waybel_0(A, B, C, D) | (~v1_finset_1(D)) | (~m1_subset_1(D, k1_zfmisc_1(u1_struct_0(A))))))) | (~(v4_waybel34(C, A, B) | (~(r4_waybel_0(A, B, C, tptp_fun_D_5(C, B, A)) | (~v1_finset_1(tptp_fun_D_5(C, B, A))) | (~m1_subset_1(tptp_fun_D_5(C, B, A), k1_zfmisc_1(u1_struct_0(A)))))))))))))) | (v3_struct_0(A!0) | (~l1_orders_2(A!0)) | ![B: $i] : (v3_struct_0(B) | (~l1_orders_2(B)) | ![C: $i] : ((~v1_funct_1(C)) | (~v1_funct_2(C, u1_struct_0(A!0), u1_struct_0(B))) | (~m2_relset_1(C, u1_struct_0(A!0), u1_struct_0(B))) | (~((~((~v4_waybel34(C, A!0, B)) | ![D: $i] : (r4_waybel_0(A!0, B, C, D) | (~v1_finset_1(D)) | (~m1_subset_1(D, k1_zfmisc_1(u1_struct_0(A!0))))))) | (~(v4_waybel34(C, A!0, B) | (~(r4_waybel_0(A!0, B, C, tptp_fun_D_5(C, B, A!0)) | (~v1_finset_1(tptp_fun_D_5(C, B, A!0))) | (~m1_subset_1(tptp_fun_D_5(C, B, A!0), k1_zfmisc_1(u1_struct_0(A!0)))))))))))))) <=> ((~![A: $i] : (v3_struct_0(A) | (~l1_orders_2(A)) | ![B: $i] : (v3_struct_0(B) | (~l1_orders_2(B)) | ![C: $i] : ((~v1_funct_1(C)) | (~v1_funct_2(C, u1_struct_0(A), u1_struct_0(B))) | (~m2_relset_1(C, u1_struct_0(A), u1_struct_0(B))) | (~((~((~v4_waybel34(C, A, B)) | ![D: $i] : (r4_waybel_0(A, B, C, D) | (~v1_finset_1(D)) | (~m1_subset_1(D, k1_zfmisc_1(u1_struct_0(A))))))) | (~(v4_waybel34(C, A, B) | (~(r4_waybel_0(A, B, C, tptp_fun_D_5(C, B, A)) | (~v1_finset_1(tptp_fun_D_5(C, B, A))) | (~m1_subset_1(tptp_fun_D_5(C, B, A), k1_zfmisc_1(u1_struct_0(A)))))))))))))) | (v3_struct_0(A!0) | (~l1_orders_2(A!0)) | ![B: $i] : (v3_struct_0(B) | (~l1_orders_2(B)) | ![C: $i] : ((~v1_funct_1(C)) | (~m2_relset_1(C, u1_struct_0(A!0), u1_struct_0(B))) | (~v1_funct_2(C, u1_struct_0(A!0), u1_struct_0(B))) | (~((~((~v4_waybel34(C, A!0, B)) | ![D: $i] : ((~v1_finset_1(D)) | (~m1_subset_1(D, k1_zfmisc_1(u1_struct_0(A!0)))) | r4_waybel_0(A!0, B, C, D)))) | (~(v4_waybel34(C, A!0, B) | (~((~m1_subset_1(tptp_fun_D_5(C, B, A!0), k1_zfmisc_1(u1_struct_0(A!0)))) | (~v1_finset_1(tptp_fun_D_5(C, B, A!0))) | r4_waybel_0(A!0, B, C, tptp_fun_D_5(C, B, A!0))))))))))))),
% 0.41/0.62 inference(monotonicity,[status(thm)],[210])).
% 0.41/0.62 tff(212,plain,
% 0.41/0.62 (((~![A: $i] : (v3_struct_0(A) | (~l1_orders_2(A)) | ![B: $i] : (v3_struct_0(B) | (~l1_orders_2(B)) | ![C: $i] : ((~v1_funct_1(C)) | (~v1_funct_2(C, u1_struct_0(A), u1_struct_0(B))) | (~m2_relset_1(C, u1_struct_0(A), u1_struct_0(B))) | (~((~((~v4_waybel34(C, A, B)) | ![D: $i] : (r4_waybel_0(A, B, C, D) | (~v1_finset_1(D)) | (~m1_subset_1(D, k1_zfmisc_1(u1_struct_0(A))))))) | (~(v4_waybel34(C, A, B) | (~(r4_waybel_0(A, B, C, tptp_fun_D_5(C, B, A)) | (~v1_finset_1(tptp_fun_D_5(C, B, A))) | (~m1_subset_1(tptp_fun_D_5(C, B, A), k1_zfmisc_1(u1_struct_0(A)))))))))))))) | (v3_struct_0(A!0) | (~l1_orders_2(A!0)) | ![B: $i] : (v3_struct_0(B) | (~l1_orders_2(B)) | ![C: $i] : ((~v1_funct_1(C)) | (~v1_funct_2(C, u1_struct_0(A!0), u1_struct_0(B))) | (~m2_relset_1(C, u1_struct_0(A!0), u1_struct_0(B))) | (~((~((~v4_waybel34(C, A!0, B)) | ![D: $i] : (r4_waybel_0(A!0, B, C, D) | (~v1_finset_1(D)) | (~m1_subset_1(D, k1_zfmisc_1(u1_struct_0(A!0))))))) | (~(v4_waybel34(C, A!0, B) | (~(r4_waybel_0(A!0, B, C, tptp_fun_D_5(C, B, A!0)) | (~v1_finset_1(tptp_fun_D_5(C, B, A!0))) | (~m1_subset_1(tptp_fun_D_5(C, B, A!0), k1_zfmisc_1(u1_struct_0(A!0)))))))))))))) <=> ((~![A: $i] : (v3_struct_0(A) | (~l1_orders_2(A)) | ![B: $i] : (v3_struct_0(B) | (~l1_orders_2(B)) | ![C: $i] : ((~v1_funct_1(C)) | (~v1_funct_2(C, u1_struct_0(A), u1_struct_0(B))) | (~m2_relset_1(C, u1_struct_0(A), u1_struct_0(B))) | (~((~((~v4_waybel34(C, A, B)) | ![D: $i] : (r4_waybel_0(A, B, C, D) | (~v1_finset_1(D)) | (~m1_subset_1(D, k1_zfmisc_1(u1_struct_0(A))))))) | (~(v4_waybel34(C, A, B) | (~(r4_waybel_0(A, B, C, tptp_fun_D_5(C, B, A)) | (~v1_finset_1(tptp_fun_D_5(C, B, A))) | (~m1_subset_1(tptp_fun_D_5(C, B, A), k1_zfmisc_1(u1_struct_0(A)))))))))))))) | v3_struct_0(A!0) | (~l1_orders_2(A!0)) | ![B: $i] : (v3_struct_0(B) | (~l1_orders_2(B)) | ![C: $i] : ((~v1_funct_1(C)) | (~m2_relset_1(C, u1_struct_0(A!0), u1_struct_0(B))) | (~v1_funct_2(C, u1_struct_0(A!0), u1_struct_0(B))) | (~((~((~v4_waybel34(C, A!0, B)) | ![D: $i] : ((~v1_finset_1(D)) | (~m1_subset_1(D, k1_zfmisc_1(u1_struct_0(A!0)))) | r4_waybel_0(A!0, B, C, D)))) | (~(v4_waybel34(C, A!0, B) | (~((~m1_subset_1(tptp_fun_D_5(C, B, A!0), k1_zfmisc_1(u1_struct_0(A!0)))) | (~v1_finset_1(tptp_fun_D_5(C, B, A!0))) | r4_waybel_0(A!0, B, C, tptp_fun_D_5(C, B, A!0)))))))))))),
% 0.47/0.62 inference(transitivity,[status(thm)],[211, 209])).
% 0.47/0.62 tff(213,plain,
% 0.47/0.62 ((~![A: $i] : (v3_struct_0(A) | (~l1_orders_2(A)) | ![B: $i] : (v3_struct_0(B) | (~l1_orders_2(B)) | ![C: $i] : ((~v1_funct_1(C)) | (~v1_funct_2(C, u1_struct_0(A), u1_struct_0(B))) | (~m2_relset_1(C, u1_struct_0(A), u1_struct_0(B))) | (~((~((~v4_waybel34(C, A, B)) | ![D: $i] : (r4_waybel_0(A, B, C, D) | (~v1_finset_1(D)) | (~m1_subset_1(D, k1_zfmisc_1(u1_struct_0(A))))))) | (~(v4_waybel34(C, A, B) | (~(r4_waybel_0(A, B, C, tptp_fun_D_5(C, B, A)) | (~v1_finset_1(tptp_fun_D_5(C, B, A))) | (~m1_subset_1(tptp_fun_D_5(C, B, A), k1_zfmisc_1(u1_struct_0(A)))))))))))))) | (v3_struct_0(A!0) | (~l1_orders_2(A!0)) | ![B: $i] : (v3_struct_0(B) | (~l1_orders_2(B)) | ![C: $i] : ((~v1_funct_1(C)) | (~v1_funct_2(C, u1_struct_0(A!0), u1_struct_0(B))) | (~m2_relset_1(C, u1_struct_0(A!0), u1_struct_0(B))) | (~((~((~v4_waybel34(C, A!0, B)) | ![D: $i] : (r4_waybel_0(A!0, B, C, D) | (~v1_finset_1(D)) | (~m1_subset_1(D, k1_zfmisc_1(u1_struct_0(A!0))))))) | (~(v4_waybel34(C, A!0, B) | (~(r4_waybel_0(A!0, B, C, tptp_fun_D_5(C, B, A!0)) | (~v1_finset_1(tptp_fun_D_5(C, B, A!0))) | (~m1_subset_1(tptp_fun_D_5(C, B, A!0), k1_zfmisc_1(u1_struct_0(A!0)))))))))))))),
% 0.47/0.62 inference(quant_inst,[status(thm)],[])).
% 0.47/0.62 tff(214,plain,
% 0.47/0.62 ((~![A: $i] : (v3_struct_0(A) | (~l1_orders_2(A)) | ![B: $i] : (v3_struct_0(B) | (~l1_orders_2(B)) | ![C: $i] : ((~v1_funct_1(C)) | (~v1_funct_2(C, u1_struct_0(A), u1_struct_0(B))) | (~m2_relset_1(C, u1_struct_0(A), u1_struct_0(B))) | (~((~((~v4_waybel34(C, A, B)) | ![D: $i] : (r4_waybel_0(A, B, C, D) | (~v1_finset_1(D)) | (~m1_subset_1(D, k1_zfmisc_1(u1_struct_0(A))))))) | (~(v4_waybel34(C, A, B) | (~(r4_waybel_0(A, B, C, tptp_fun_D_5(C, B, A)) | (~v1_finset_1(tptp_fun_D_5(C, B, A))) | (~m1_subset_1(tptp_fun_D_5(C, B, A), k1_zfmisc_1(u1_struct_0(A)))))))))))))) | v3_struct_0(A!0) | (~l1_orders_2(A!0)) | ![B: $i] : (v3_struct_0(B) | (~l1_orders_2(B)) | ![C: $i] : ((~v1_funct_1(C)) | (~m2_relset_1(C, u1_struct_0(A!0), u1_struct_0(B))) | (~v1_funct_2(C, u1_struct_0(A!0), u1_struct_0(B))) | (~((~((~v4_waybel34(C, A!0, B)) | ![D: $i] : ((~v1_finset_1(D)) | (~m1_subset_1(D, k1_zfmisc_1(u1_struct_0(A!0)))) | r4_waybel_0(A!0, B, C, D)))) | (~(v4_waybel34(C, A!0, B) | (~((~m1_subset_1(tptp_fun_D_5(C, B, A!0), k1_zfmisc_1(u1_struct_0(A!0)))) | (~v1_finset_1(tptp_fun_D_5(C, B, A!0))) | r4_waybel_0(A!0, B, C, tptp_fun_D_5(C, B, A!0))))))))))),
% 0.47/0.62 inference(modus_ponens,[status(thm)],[213, 212])).
% 0.47/0.62 tff(215,plain,
% 0.47/0.62 (![B: $i] : (v3_struct_0(B) | (~l1_orders_2(B)) | ![C: $i] : ((~v1_funct_1(C)) | (~m2_relset_1(C, u1_struct_0(A!0), u1_struct_0(B))) | (~v1_funct_2(C, u1_struct_0(A!0), u1_struct_0(B))) | (~((~((~v4_waybel34(C, A!0, B)) | ![D: $i] : ((~v1_finset_1(D)) | (~m1_subset_1(D, k1_zfmisc_1(u1_struct_0(A!0)))) | r4_waybel_0(A!0, B, C, D)))) | (~(v4_waybel34(C, A!0, B) | (~((~m1_subset_1(tptp_fun_D_5(C, B, A!0), k1_zfmisc_1(u1_struct_0(A!0)))) | (~v1_finset_1(tptp_fun_D_5(C, B, A!0))) | r4_waybel_0(A!0, B, C, tptp_fun_D_5(C, B, A!0))))))))))),
% 0.47/0.62 inference(unit_resolution,[status(thm)],[214, 208, 50, 207])).
% 0.47/0.62 tff(216,plain,
% 0.47/0.62 (l1_orders_2(C!2)),
% 0.47/0.62 inference(and_elim,[status(thm)],[30])).
% 0.47/0.62 tff(217,plain,
% 0.47/0.62 (~v3_struct_0(C!2)),
% 0.47/0.62 inference(and_elim,[status(thm)],[30])).
% 0.47/0.62 tff(218,plain,
% 0.47/0.62 (((~![B: $i] : (v3_struct_0(B) | (~l1_orders_2(B)) | ![C: $i] : ((~v1_funct_1(C)) | (~m2_relset_1(C, u1_struct_0(A!0), u1_struct_0(B))) | (~v1_funct_2(C, u1_struct_0(A!0), u1_struct_0(B))) | (~((~((~v4_waybel34(C, A!0, B)) | ![D: $i] : ((~v1_finset_1(D)) | (~m1_subset_1(D, k1_zfmisc_1(u1_struct_0(A!0)))) | r4_waybel_0(A!0, B, C, D)))) | (~(v4_waybel34(C, A!0, B) | (~((~m1_subset_1(tptp_fun_D_5(C, B, A!0), k1_zfmisc_1(u1_struct_0(A!0)))) | (~v1_finset_1(tptp_fun_D_5(C, B, A!0))) | r4_waybel_0(A!0, B, C, tptp_fun_D_5(C, B, A!0))))))))))) | (v3_struct_0(C!2) | (~l1_orders_2(C!2)) | ![C: $i] : ((~v1_funct_1(C)) | (~m2_relset_1(C, u1_struct_0(A!0), u1_struct_0(C!2))) | (~v1_funct_2(C, u1_struct_0(A!0), u1_struct_0(C!2))) | (~((~((~v4_waybel34(C, A!0, C!2)) | ![D: $i] : ((~v1_finset_1(D)) | (~m1_subset_1(D, k1_zfmisc_1(u1_struct_0(A!0)))) | r4_waybel_0(A!0, C!2, C, D)))) | (~(v4_waybel34(C, A!0, C!2) | (~((~v1_finset_1(tptp_fun_D_5(C, C!2, A!0))) | r4_waybel_0(A!0, C!2, C, tptp_fun_D_5(C, C!2, A!0)) | (~m1_subset_1(tptp_fun_D_5(C, C!2, A!0), k1_zfmisc_1(u1_struct_0(A!0))))))))))))) <=> ((~![B: $i] : (v3_struct_0(B) | (~l1_orders_2(B)) | ![C: $i] : ((~v1_funct_1(C)) | (~m2_relset_1(C, u1_struct_0(A!0), u1_struct_0(B))) | (~v1_funct_2(C, u1_struct_0(A!0), u1_struct_0(B))) | (~((~((~v4_waybel34(C, A!0, B)) | ![D: $i] : ((~v1_finset_1(D)) | (~m1_subset_1(D, k1_zfmisc_1(u1_struct_0(A!0)))) | r4_waybel_0(A!0, B, C, D)))) | (~(v4_waybel34(C, A!0, B) | (~((~m1_subset_1(tptp_fun_D_5(C, B, A!0), k1_zfmisc_1(u1_struct_0(A!0)))) | (~v1_finset_1(tptp_fun_D_5(C, B, A!0))) | r4_waybel_0(A!0, B, C, tptp_fun_D_5(C, B, A!0))))))))))) | v3_struct_0(C!2) | (~l1_orders_2(C!2)) | ![C: $i] : ((~v1_funct_1(C)) | (~m2_relset_1(C, u1_struct_0(A!0), u1_struct_0(C!2))) | (~v1_funct_2(C, u1_struct_0(A!0), u1_struct_0(C!2))) | (~((~((~v4_waybel34(C, A!0, C!2)) | ![D: $i] : ((~v1_finset_1(D)) | (~m1_subset_1(D, k1_zfmisc_1(u1_struct_0(A!0)))) | r4_waybel_0(A!0, C!2, C, D)))) | (~(v4_waybel34(C, A!0, C!2) | (~((~v1_finset_1(tptp_fun_D_5(C, C!2, A!0))) | r4_waybel_0(A!0, C!2, C, tptp_fun_D_5(C, C!2, A!0)) | (~m1_subset_1(tptp_fun_D_5(C, C!2, A!0), k1_zfmisc_1(u1_struct_0(A!0))))))))))))),
% 0.47/0.63 inference(rewrite,[status(thm)],[])).
% 0.47/0.63 tff(219,plain,
% 0.47/0.63 ((v3_struct_0(C!2) | (~l1_orders_2(C!2)) | ![C: $i] : ((~v1_funct_1(C)) | (~m2_relset_1(C, u1_struct_0(A!0), u1_struct_0(C!2))) | (~v1_funct_2(C, u1_struct_0(A!0), u1_struct_0(C!2))) | (~((~((~v4_waybel34(C, A!0, C!2)) | ![D: $i] : ((~v1_finset_1(D)) | (~m1_subset_1(D, k1_zfmisc_1(u1_struct_0(A!0)))) | r4_waybel_0(A!0, C!2, C, D)))) | (~(v4_waybel34(C, A!0, C!2) | (~((~m1_subset_1(tptp_fun_D_5(C, C!2, A!0), k1_zfmisc_1(u1_struct_0(A!0)))) | (~v1_finset_1(tptp_fun_D_5(C, C!2, A!0))) | r4_waybel_0(A!0, C!2, C, tptp_fun_D_5(C, C!2, A!0)))))))))) <=> (v3_struct_0(C!2) | (~l1_orders_2(C!2)) | ![C: $i] : ((~v1_funct_1(C)) | (~m2_relset_1(C, u1_struct_0(A!0), u1_struct_0(C!2))) | (~v1_funct_2(C, u1_struct_0(A!0), u1_struct_0(C!2))) | (~((~((~v4_waybel34(C, A!0, C!2)) | ![D: $i] : ((~v1_finset_1(D)) | (~m1_subset_1(D, k1_zfmisc_1(u1_struct_0(A!0)))) | r4_waybel_0(A!0, C!2, C, D)))) | (~(v4_waybel34(C, A!0, C!2) | (~((~v1_finset_1(tptp_fun_D_5(C, C!2, A!0))) | r4_waybel_0(A!0, C!2, C, tptp_fun_D_5(C, C!2, A!0)) | (~m1_subset_1(tptp_fun_D_5(C, C!2, A!0), k1_zfmisc_1(u1_struct_0(A!0))))))))))))),
% 0.47/0.63 inference(rewrite,[status(thm)],[])).
% 0.47/0.63 tff(220,plain,
% 0.47/0.63 (((~![B: $i] : (v3_struct_0(B) | (~l1_orders_2(B)) | ![C: $i] : ((~v1_funct_1(C)) | (~m2_relset_1(C, u1_struct_0(A!0), u1_struct_0(B))) | (~v1_funct_2(C, u1_struct_0(A!0), u1_struct_0(B))) | (~((~((~v4_waybel34(C, A!0, B)) | ![D: $i] : ((~v1_finset_1(D)) | (~m1_subset_1(D, k1_zfmisc_1(u1_struct_0(A!0)))) | r4_waybel_0(A!0, B, C, D)))) | (~(v4_waybel34(C, A!0, B) | (~((~m1_subset_1(tptp_fun_D_5(C, B, A!0), k1_zfmisc_1(u1_struct_0(A!0)))) | (~v1_finset_1(tptp_fun_D_5(C, B, A!0))) | r4_waybel_0(A!0, B, C, tptp_fun_D_5(C, B, A!0))))))))))) | (v3_struct_0(C!2) | (~l1_orders_2(C!2)) | ![C: $i] : ((~v1_funct_1(C)) | (~m2_relset_1(C, u1_struct_0(A!0), u1_struct_0(C!2))) | (~v1_funct_2(C, u1_struct_0(A!0), u1_struct_0(C!2))) | (~((~((~v4_waybel34(C, A!0, C!2)) | ![D: $i] : ((~v1_finset_1(D)) | (~m1_subset_1(D, k1_zfmisc_1(u1_struct_0(A!0)))) | r4_waybel_0(A!0, C!2, C, D)))) | (~(v4_waybel34(C, A!0, C!2) | (~((~m1_subset_1(tptp_fun_D_5(C, C!2, A!0), k1_zfmisc_1(u1_struct_0(A!0)))) | (~v1_finset_1(tptp_fun_D_5(C, C!2, A!0))) | r4_waybel_0(A!0, C!2, C, tptp_fun_D_5(C, C!2, A!0))))))))))) <=> ((~![B: $i] : (v3_struct_0(B) | (~l1_orders_2(B)) | ![C: $i] : ((~v1_funct_1(C)) | (~m2_relset_1(C, u1_struct_0(A!0), u1_struct_0(B))) | (~v1_funct_2(C, u1_struct_0(A!0), u1_struct_0(B))) | (~((~((~v4_waybel34(C, A!0, B)) | ![D: $i] : ((~v1_finset_1(D)) | (~m1_subset_1(D, k1_zfmisc_1(u1_struct_0(A!0)))) | r4_waybel_0(A!0, B, C, D)))) | (~(v4_waybel34(C, A!0, B) | (~((~m1_subset_1(tptp_fun_D_5(C, B, A!0), k1_zfmisc_1(u1_struct_0(A!0)))) | (~v1_finset_1(tptp_fun_D_5(C, B, A!0))) | r4_waybel_0(A!0, B, C, tptp_fun_D_5(C, B, A!0))))))))))) | (v3_struct_0(C!2) | (~l1_orders_2(C!2)) | ![C: $i] : ((~v1_funct_1(C)) | (~m2_relset_1(C, u1_struct_0(A!0), u1_struct_0(C!2))) | (~v1_funct_2(C, u1_struct_0(A!0), u1_struct_0(C!2))) | (~((~((~v4_waybel34(C, A!0, C!2)) | ![D: $i] : ((~v1_finset_1(D)) | (~m1_subset_1(D, k1_zfmisc_1(u1_struct_0(A!0)))) | r4_waybel_0(A!0, C!2, C, D)))) | (~(v4_waybel34(C, A!0, C!2) | (~((~v1_finset_1(tptp_fun_D_5(C, C!2, A!0))) | r4_waybel_0(A!0, C!2, C, tptp_fun_D_5(C, C!2, A!0)) | (~m1_subset_1(tptp_fun_D_5(C, C!2, A!0), k1_zfmisc_1(u1_struct_0(A!0)))))))))))))),
% 0.47/0.63 inference(monotonicity,[status(thm)],[219])).
% 0.47/0.63 tff(221,plain,
% 0.47/0.63 (((~![B: $i] : (v3_struct_0(B) | (~l1_orders_2(B)) | ![C: $i] : ((~v1_funct_1(C)) | (~m2_relset_1(C, u1_struct_0(A!0), u1_struct_0(B))) | (~v1_funct_2(C, u1_struct_0(A!0), u1_struct_0(B))) | (~((~((~v4_waybel34(C, A!0, B)) | ![D: $i] : ((~v1_finset_1(D)) | (~m1_subset_1(D, k1_zfmisc_1(u1_struct_0(A!0)))) | r4_waybel_0(A!0, B, C, D)))) | (~(v4_waybel34(C, A!0, B) | (~((~m1_subset_1(tptp_fun_D_5(C, B, A!0), k1_zfmisc_1(u1_struct_0(A!0)))) | (~v1_finset_1(tptp_fun_D_5(C, B, A!0))) | r4_waybel_0(A!0, B, C, tptp_fun_D_5(C, B, A!0))))))))))) | (v3_struct_0(C!2) | (~l1_orders_2(C!2)) | ![C: $i] : ((~v1_funct_1(C)) | (~m2_relset_1(C, u1_struct_0(A!0), u1_struct_0(C!2))) | (~v1_funct_2(C, u1_struct_0(A!0), u1_struct_0(C!2))) | (~((~((~v4_waybel34(C, A!0, C!2)) | ![D: $i] : ((~v1_finset_1(D)) | (~m1_subset_1(D, k1_zfmisc_1(u1_struct_0(A!0)))) | r4_waybel_0(A!0, C!2, C, D)))) | (~(v4_waybel34(C, A!0, C!2) | (~((~m1_subset_1(tptp_fun_D_5(C, C!2, A!0), k1_zfmisc_1(u1_struct_0(A!0)))) | (~v1_finset_1(tptp_fun_D_5(C, C!2, A!0))) | r4_waybel_0(A!0, C!2, C, tptp_fun_D_5(C, C!2, A!0))))))))))) <=> ((~![B: $i] : (v3_struct_0(B) | (~l1_orders_2(B)) | ![C: $i] : ((~v1_funct_1(C)) | (~m2_relset_1(C, u1_struct_0(A!0), u1_struct_0(B))) | (~v1_funct_2(C, u1_struct_0(A!0), u1_struct_0(B))) | (~((~((~v4_waybel34(C, A!0, B)) | ![D: $i] : ((~v1_finset_1(D)) | (~m1_subset_1(D, k1_zfmisc_1(u1_struct_0(A!0)))) | r4_waybel_0(A!0, B, C, D)))) | (~(v4_waybel34(C, A!0, B) | (~((~m1_subset_1(tptp_fun_D_5(C, B, A!0), k1_zfmisc_1(u1_struct_0(A!0)))) | (~v1_finset_1(tptp_fun_D_5(C, B, A!0))) | r4_waybel_0(A!0, B, C, tptp_fun_D_5(C, B, A!0))))))))))) | v3_struct_0(C!2) | (~l1_orders_2(C!2)) | ![C: $i] : ((~v1_funct_1(C)) | (~m2_relset_1(C, u1_struct_0(A!0), u1_struct_0(C!2))) | (~v1_funct_2(C, u1_struct_0(A!0), u1_struct_0(C!2))) | (~((~((~v4_waybel34(C, A!0, C!2)) | ![D: $i] : ((~v1_finset_1(D)) | (~m1_subset_1(D, k1_zfmisc_1(u1_struct_0(A!0)))) | r4_waybel_0(A!0, C!2, C, D)))) | (~(v4_waybel34(C, A!0, C!2) | (~((~v1_finset_1(tptp_fun_D_5(C, C!2, A!0))) | r4_waybel_0(A!0, C!2, C, tptp_fun_D_5(C, C!2, A!0)) | (~m1_subset_1(tptp_fun_D_5(C, C!2, A!0), k1_zfmisc_1(u1_struct_0(A!0))))))))))))),
% 0.47/0.63 inference(transitivity,[status(thm)],[220, 218])).
% 0.47/0.63 tff(222,plain,
% 0.47/0.63 ((~![B: $i] : (v3_struct_0(B) | (~l1_orders_2(B)) | ![C: $i] : ((~v1_funct_1(C)) | (~m2_relset_1(C, u1_struct_0(A!0), u1_struct_0(B))) | (~v1_funct_2(C, u1_struct_0(A!0), u1_struct_0(B))) | (~((~((~v4_waybel34(C, A!0, B)) | ![D: $i] : ((~v1_finset_1(D)) | (~m1_subset_1(D, k1_zfmisc_1(u1_struct_0(A!0)))) | r4_waybel_0(A!0, B, C, D)))) | (~(v4_waybel34(C, A!0, B) | (~((~m1_subset_1(tptp_fun_D_5(C, B, A!0), k1_zfmisc_1(u1_struct_0(A!0)))) | (~v1_finset_1(tptp_fun_D_5(C, B, A!0))) | r4_waybel_0(A!0, B, C, tptp_fun_D_5(C, B, A!0))))))))))) | (v3_struct_0(C!2) | (~l1_orders_2(C!2)) | ![C: $i] : ((~v1_funct_1(C)) | (~m2_relset_1(C, u1_struct_0(A!0), u1_struct_0(C!2))) | (~v1_funct_2(C, u1_struct_0(A!0), u1_struct_0(C!2))) | (~((~((~v4_waybel34(C, A!0, C!2)) | ![D: $i] : ((~v1_finset_1(D)) | (~m1_subset_1(D, k1_zfmisc_1(u1_struct_0(A!0)))) | r4_waybel_0(A!0, C!2, C, D)))) | (~(v4_waybel34(C, A!0, C!2) | (~((~m1_subset_1(tptp_fun_D_5(C, C!2, A!0), k1_zfmisc_1(u1_struct_0(A!0)))) | (~v1_finset_1(tptp_fun_D_5(C, C!2, A!0))) | r4_waybel_0(A!0, C!2, C, tptp_fun_D_5(C, C!2, A!0))))))))))),
% 0.47/0.63 inference(quant_inst,[status(thm)],[])).
% 0.47/0.63 tff(223,plain,
% 0.47/0.63 ((~![B: $i] : (v3_struct_0(B) | (~l1_orders_2(B)) | ![C: $i] : ((~v1_funct_1(C)) | (~m2_relset_1(C, u1_struct_0(A!0), u1_struct_0(B))) | (~v1_funct_2(C, u1_struct_0(A!0), u1_struct_0(B))) | (~((~((~v4_waybel34(C, A!0, B)) | ![D: $i] : ((~v1_finset_1(D)) | (~m1_subset_1(D, k1_zfmisc_1(u1_struct_0(A!0)))) | r4_waybel_0(A!0, B, C, D)))) | (~(v4_waybel34(C, A!0, B) | (~((~m1_subset_1(tptp_fun_D_5(C, B, A!0), k1_zfmisc_1(u1_struct_0(A!0)))) | (~v1_finset_1(tptp_fun_D_5(C, B, A!0))) | r4_waybel_0(A!0, B, C, tptp_fun_D_5(C, B, A!0))))))))))) | v3_struct_0(C!2) | (~l1_orders_2(C!2)) | ![C: $i] : ((~v1_funct_1(C)) | (~m2_relset_1(C, u1_struct_0(A!0), u1_struct_0(C!2))) | (~v1_funct_2(C, u1_struct_0(A!0), u1_struct_0(C!2))) | (~((~((~v4_waybel34(C, A!0, C!2)) | ![D: $i] : ((~v1_finset_1(D)) | (~m1_subset_1(D, k1_zfmisc_1(u1_struct_0(A!0)))) | r4_waybel_0(A!0, C!2, C, D)))) | (~(v4_waybel34(C, A!0, C!2) | (~((~v1_finset_1(tptp_fun_D_5(C, C!2, A!0))) | r4_waybel_0(A!0, C!2, C, tptp_fun_D_5(C, C!2, A!0)) | (~m1_subset_1(tptp_fun_D_5(C, C!2, A!0), k1_zfmisc_1(u1_struct_0(A!0)))))))))))),
% 0.47/0.63 inference(modus_ponens,[status(thm)],[222, 221])).
% 0.47/0.63 tff(224,plain,
% 0.47/0.63 (![C: $i] : ((~v1_funct_1(C)) | (~m2_relset_1(C, u1_struct_0(A!0), u1_struct_0(C!2))) | (~v1_funct_2(C, u1_struct_0(A!0), u1_struct_0(C!2))) | (~((~((~v4_waybel34(C, A!0, C!2)) | ![D: $i] : ((~v1_finset_1(D)) | (~m1_subset_1(D, k1_zfmisc_1(u1_struct_0(A!0)))) | r4_waybel_0(A!0, C!2, C, D)))) | (~(v4_waybel34(C, A!0, C!2) | (~((~v1_finset_1(tptp_fun_D_5(C, C!2, A!0))) | r4_waybel_0(A!0, C!2, C, tptp_fun_D_5(C, C!2, A!0)) | (~m1_subset_1(tptp_fun_D_5(C, C!2, A!0), k1_zfmisc_1(u1_struct_0(A!0)))))))))))),
% 0.47/0.63 inference(unit_resolution,[status(thm)],[223, 217, 216, 215])).
% 0.47/0.63 tff(225,plain,
% 0.47/0.63 (m2_relset_1(k5_relat_1(D!3, E!4), u1_struct_0(A!0), u1_struct_0(C!2)) <=> m2_relset_1(k7_funct_2(u1_struct_0(A!0), u1_struct_0(B!1), u1_struct_0(C!2), D!3, E!4), u1_struct_0(A!0), u1_struct_0(C!2))),
% 0.47/0.63 inference(monotonicity,[status(thm)],[157])).
% 0.47/0.63 tff(226,plain,
% 0.47/0.63 (m2_relset_1(k7_funct_2(u1_struct_0(A!0), u1_struct_0(B!1), u1_struct_0(C!2), D!3, E!4), u1_struct_0(A!0), u1_struct_0(C!2)) <=> m2_relset_1(k5_relat_1(D!3, E!4), u1_struct_0(A!0), u1_struct_0(C!2))),
% 0.47/0.63 inference(symmetry,[status(thm)],[225])).
% 0.47/0.63 tff(227,plain,
% 0.47/0.63 (((~v1_funct_1(k7_funct_2(u1_struct_0(A!0), u1_struct_0(B!1), u1_struct_0(C!2), D!3, E!4))) | (~v1_funct_2(k7_funct_2(u1_struct_0(A!0), u1_struct_0(B!1), u1_struct_0(C!2), D!3, E!4), u1_struct_0(A!0), u1_struct_0(C!2))) | (~m2_relset_1(k7_funct_2(u1_struct_0(A!0), u1_struct_0(B!1), u1_struct_0(C!2), D!3, E!4), u1_struct_0(A!0), u1_struct_0(C!2)))) | m2_relset_1(k7_funct_2(u1_struct_0(A!0), u1_struct_0(B!1), u1_struct_0(C!2), D!3, E!4), u1_struct_0(A!0), u1_struct_0(C!2))),
% 0.47/0.63 inference(tautology,[status(thm)],[])).
% 0.47/0.63 tff(228,plain,
% 0.47/0.63 (m2_relset_1(k7_funct_2(u1_struct_0(A!0), u1_struct_0(B!1), u1_struct_0(C!2), D!3, E!4), u1_struct_0(A!0), u1_struct_0(C!2))),
% 0.47/0.63 inference(unit_resolution,[status(thm)],[227, 188])).
% 0.47/0.63 tff(229,plain,
% 0.47/0.63 (m2_relset_1(k5_relat_1(D!3, E!4), u1_struct_0(A!0), u1_struct_0(C!2))),
% 0.47/0.63 inference(modus_ponens,[status(thm)],[228, 226])).
% 0.47/0.63 tff(230,plain,
% 0.47/0.63 (v1_funct_1(k5_relat_1(D!3, E!4)) <=> v1_funct_1(k7_funct_2(u1_struct_0(A!0), u1_struct_0(B!1), u1_struct_0(C!2), D!3, E!4))),
% 0.47/0.63 inference(monotonicity,[status(thm)],[157])).
% 0.47/0.63 tff(231,plain,
% 0.47/0.63 (v1_funct_1(k7_funct_2(u1_struct_0(A!0), u1_struct_0(B!1), u1_struct_0(C!2), D!3, E!4)) <=> v1_funct_1(k5_relat_1(D!3, E!4))),
% 0.47/0.63 inference(symmetry,[status(thm)],[230])).
% 0.47/0.64 tff(232,plain,
% 0.47/0.64 (((~v1_funct_1(k7_funct_2(u1_struct_0(A!0), u1_struct_0(B!1), u1_struct_0(C!2), D!3, E!4))) | (~v1_funct_2(k7_funct_2(u1_struct_0(A!0), u1_struct_0(B!1), u1_struct_0(C!2), D!3, E!4), u1_struct_0(A!0), u1_struct_0(C!2))) | (~m2_relset_1(k7_funct_2(u1_struct_0(A!0), u1_struct_0(B!1), u1_struct_0(C!2), D!3, E!4), u1_struct_0(A!0), u1_struct_0(C!2)))) | v1_funct_1(k7_funct_2(u1_struct_0(A!0), u1_struct_0(B!1), u1_struct_0(C!2), D!3, E!4))),
% 0.47/0.64 inference(tautology,[status(thm)],[])).
% 0.47/0.64 tff(233,plain,
% 0.47/0.64 (v1_funct_1(k7_funct_2(u1_struct_0(A!0), u1_struct_0(B!1), u1_struct_0(C!2), D!3, E!4))),
% 0.47/0.64 inference(unit_resolution,[status(thm)],[232, 188])).
% 0.47/0.64 tff(234,plain,
% 0.47/0.64 (v1_funct_1(k5_relat_1(D!3, E!4))),
% 0.47/0.64 inference(modus_ponens,[status(thm)],[233, 231])).
% 0.47/0.64 tff(235,plain,
% 0.47/0.64 (((~![C: $i] : ((~v1_funct_1(C)) | (~m2_relset_1(C, u1_struct_0(A!0), u1_struct_0(C!2))) | (~v1_funct_2(C, u1_struct_0(A!0), u1_struct_0(C!2))) | (~((~((~v4_waybel34(C, A!0, C!2)) | ![D: $i] : ((~v1_finset_1(D)) | (~m1_subset_1(D, k1_zfmisc_1(u1_struct_0(A!0)))) | r4_waybel_0(A!0, C!2, C, D)))) | (~(v4_waybel34(C, A!0, C!2) | (~((~v1_finset_1(tptp_fun_D_5(C, C!2, A!0))) | r4_waybel_0(A!0, C!2, C, tptp_fun_D_5(C, C!2, A!0)) | (~m1_subset_1(tptp_fun_D_5(C, C!2, A!0), k1_zfmisc_1(u1_struct_0(A!0)))))))))))) | ((~v1_funct_1(k5_relat_1(D!3, E!4))) | (~m2_relset_1(k5_relat_1(D!3, E!4), u1_struct_0(A!0), u1_struct_0(C!2))) | (~v1_funct_2(k5_relat_1(D!3, E!4), u1_struct_0(A!0), u1_struct_0(C!2))) | (~((~((~v4_waybel34(k5_relat_1(D!3, E!4), A!0, C!2)) | ![D: $i] : ((~v1_finset_1(D)) | (~m1_subset_1(D, k1_zfmisc_1(u1_struct_0(A!0)))) | r4_waybel_0(A!0, C!2, k5_relat_1(D!3, E!4), D)))) | (~(v4_waybel34(k5_relat_1(D!3, E!4), A!0, C!2) | (~((~v1_finset_1(tptp_fun_D_5(k5_relat_1(D!3, E!4), C!2, A!0))) | (~m1_subset_1(tptp_fun_D_5(k5_relat_1(D!3, E!4), C!2, A!0), k1_zfmisc_1(u1_struct_0(A!0)))) | r4_waybel_0(A!0, C!2, k5_relat_1(D!3, E!4), tptp_fun_D_5(k5_relat_1(D!3, E!4), C!2, A!0)))))))))) <=> ((~![C: $i] : ((~v1_funct_1(C)) | (~m2_relset_1(C, u1_struct_0(A!0), u1_struct_0(C!2))) | (~v1_funct_2(C, u1_struct_0(A!0), u1_struct_0(C!2))) | (~((~((~v4_waybel34(C, A!0, C!2)) | ![D: $i] : ((~v1_finset_1(D)) | (~m1_subset_1(D, k1_zfmisc_1(u1_struct_0(A!0)))) | r4_waybel_0(A!0, C!2, C, D)))) | (~(v4_waybel34(C, A!0, C!2) | (~((~v1_finset_1(tptp_fun_D_5(C, C!2, A!0))) | r4_waybel_0(A!0, C!2, C, tptp_fun_D_5(C, C!2, A!0)) | (~m1_subset_1(tptp_fun_D_5(C, C!2, A!0), k1_zfmisc_1(u1_struct_0(A!0)))))))))))) | (~v1_funct_1(k5_relat_1(D!3, E!4))) | (~m2_relset_1(k5_relat_1(D!3, E!4), u1_struct_0(A!0), u1_struct_0(C!2))) | (~v1_funct_2(k5_relat_1(D!3, E!4), u1_struct_0(A!0), u1_struct_0(C!2))) | (~((~((~v4_waybel34(k5_relat_1(D!3, E!4), A!0, C!2)) | ![D: $i] : ((~v1_finset_1(D)) | (~m1_subset_1(D, k1_zfmisc_1(u1_struct_0(A!0)))) | r4_waybel_0(A!0, C!2, k5_relat_1(D!3, E!4), D)))) | (~(v4_waybel34(k5_relat_1(D!3, E!4), A!0, C!2) | (~((~v1_finset_1(tptp_fun_D_5(k5_relat_1(D!3, E!4), C!2, A!0))) | (~m1_subset_1(tptp_fun_D_5(k5_relat_1(D!3, E!4), C!2, A!0), k1_zfmisc_1(u1_struct_0(A!0)))) | r4_waybel_0(A!0, C!2, k5_relat_1(D!3, E!4), tptp_fun_D_5(k5_relat_1(D!3, E!4), C!2, A!0)))))))))),
% 0.47/0.64 inference(rewrite,[status(thm)],[])).
% 0.47/0.64 tff(236,plain,
% 0.47/0.64 (((~v1_funct_1(k5_relat_1(D!3, E!4))) | (~m2_relset_1(k5_relat_1(D!3, E!4), u1_struct_0(A!0), u1_struct_0(C!2))) | (~v1_funct_2(k5_relat_1(D!3, E!4), u1_struct_0(A!0), u1_struct_0(C!2))) | (~((~((~v4_waybel34(k5_relat_1(D!3, E!4), A!0, C!2)) | ![D: $i] : ((~v1_finset_1(D)) | (~m1_subset_1(D, k1_zfmisc_1(u1_struct_0(A!0)))) | r4_waybel_0(A!0, C!2, k5_relat_1(D!3, E!4), D)))) | (~(v4_waybel34(k5_relat_1(D!3, E!4), A!0, C!2) | (~((~v1_finset_1(tptp_fun_D_5(k5_relat_1(D!3, E!4), C!2, A!0))) | r4_waybel_0(A!0, C!2, k5_relat_1(D!3, E!4), tptp_fun_D_5(k5_relat_1(D!3, E!4), C!2, A!0)) | (~m1_subset_1(tptp_fun_D_5(k5_relat_1(D!3, E!4), C!2, A!0), k1_zfmisc_1(u1_struct_0(A!0))))))))))) <=> ((~v1_funct_1(k5_relat_1(D!3, E!4))) | (~m2_relset_1(k5_relat_1(D!3, E!4), u1_struct_0(A!0), u1_struct_0(C!2))) | (~v1_funct_2(k5_relat_1(D!3, E!4), u1_struct_0(A!0), u1_struct_0(C!2))) | (~((~((~v4_waybel34(k5_relat_1(D!3, E!4), A!0, C!2)) | ![D: $i] : ((~v1_finset_1(D)) | (~m1_subset_1(D, k1_zfmisc_1(u1_struct_0(A!0)))) | r4_waybel_0(A!0, C!2, k5_relat_1(D!3, E!4), D)))) | (~(v4_waybel34(k5_relat_1(D!3, E!4), A!0, C!2) | (~((~v1_finset_1(tptp_fun_D_5(k5_relat_1(D!3, E!4), C!2, A!0))) | (~m1_subset_1(tptp_fun_D_5(k5_relat_1(D!3, E!4), C!2, A!0), k1_zfmisc_1(u1_struct_0(A!0)))) | r4_waybel_0(A!0, C!2, k5_relat_1(D!3, E!4), tptp_fun_D_5(k5_relat_1(D!3, E!4), C!2, A!0)))))))))),
% 0.47/0.64 inference(rewrite,[status(thm)],[])).
% 0.47/0.64 tff(237,plain,
% 0.47/0.64 (((~![C: $i] : ((~v1_funct_1(C)) | (~m2_relset_1(C, u1_struct_0(A!0), u1_struct_0(C!2))) | (~v1_funct_2(C, u1_struct_0(A!0), u1_struct_0(C!2))) | (~((~((~v4_waybel34(C, A!0, C!2)) | ![D: $i] : ((~v1_finset_1(D)) | (~m1_subset_1(D, k1_zfmisc_1(u1_struct_0(A!0)))) | r4_waybel_0(A!0, C!2, C, D)))) | (~(v4_waybel34(C, A!0, C!2) | (~((~v1_finset_1(tptp_fun_D_5(C, C!2, A!0))) | r4_waybel_0(A!0, C!2, C, tptp_fun_D_5(C, C!2, A!0)) | (~m1_subset_1(tptp_fun_D_5(C, C!2, A!0), k1_zfmisc_1(u1_struct_0(A!0)))))))))))) | ((~v1_funct_1(k5_relat_1(D!3, E!4))) | (~m2_relset_1(k5_relat_1(D!3, E!4), u1_struct_0(A!0), u1_struct_0(C!2))) | (~v1_funct_2(k5_relat_1(D!3, E!4), u1_struct_0(A!0), u1_struct_0(C!2))) | (~((~((~v4_waybel34(k5_relat_1(D!3, E!4), A!0, C!2)) | ![D: $i] : ((~v1_finset_1(D)) | (~m1_subset_1(D, k1_zfmisc_1(u1_struct_0(A!0)))) | r4_waybel_0(A!0, C!2, k5_relat_1(D!3, E!4), D)))) | (~(v4_waybel34(k5_relat_1(D!3, E!4), A!0, C!2) | (~((~v1_finset_1(tptp_fun_D_5(k5_relat_1(D!3, E!4), C!2, A!0))) | r4_waybel_0(A!0, C!2, k5_relat_1(D!3, E!4), tptp_fun_D_5(k5_relat_1(D!3, E!4), C!2, A!0)) | (~m1_subset_1(tptp_fun_D_5(k5_relat_1(D!3, E!4), C!2, A!0), k1_zfmisc_1(u1_struct_0(A!0)))))))))))) <=> ((~![C: $i] : ((~v1_funct_1(C)) | (~m2_relset_1(C, u1_struct_0(A!0), u1_struct_0(C!2))) | (~v1_funct_2(C, u1_struct_0(A!0), u1_struct_0(C!2))) | (~((~((~v4_waybel34(C, A!0, C!2)) | ![D: $i] : ((~v1_finset_1(D)) | (~m1_subset_1(D, k1_zfmisc_1(u1_struct_0(A!0)))) | r4_waybel_0(A!0, C!2, C, D)))) | (~(v4_waybel34(C, A!0, C!2) | (~((~v1_finset_1(tptp_fun_D_5(C, C!2, A!0))) | r4_waybel_0(A!0, C!2, C, tptp_fun_D_5(C, C!2, A!0)) | (~m1_subset_1(tptp_fun_D_5(C, C!2, A!0), k1_zfmisc_1(u1_struct_0(A!0)))))))))))) | ((~v1_funct_1(k5_relat_1(D!3, E!4))) | (~m2_relset_1(k5_relat_1(D!3, E!4), u1_struct_0(A!0), u1_struct_0(C!2))) | (~v1_funct_2(k5_relat_1(D!3, E!4), u1_struct_0(A!0), u1_struct_0(C!2))) | (~((~((~v4_waybel34(k5_relat_1(D!3, E!4), A!0, C!2)) | ![D: $i] : ((~v1_finset_1(D)) | (~m1_subset_1(D, k1_zfmisc_1(u1_struct_0(A!0)))) | r4_waybel_0(A!0, C!2, k5_relat_1(D!3, E!4), D)))) | (~(v4_waybel34(k5_relat_1(D!3, E!4), A!0, C!2) | (~((~v1_finset_1(tptp_fun_D_5(k5_relat_1(D!3, E!4), C!2, A!0))) | (~m1_subset_1(tptp_fun_D_5(k5_relat_1(D!3, E!4), C!2, A!0), k1_zfmisc_1(u1_struct_0(A!0)))) | r4_waybel_0(A!0, C!2, k5_relat_1(D!3, E!4), tptp_fun_D_5(k5_relat_1(D!3, E!4), C!2, A!0))))))))))),
% 0.47/0.64 inference(monotonicity,[status(thm)],[236])).
% 0.47/0.64 tff(238,plain,
% 0.47/0.64 (((~![C: $i] : ((~v1_funct_1(C)) | (~m2_relset_1(C, u1_struct_0(A!0), u1_struct_0(C!2))) | (~v1_funct_2(C, u1_struct_0(A!0), u1_struct_0(C!2))) | (~((~((~v4_waybel34(C, A!0, C!2)) | ![D: $i] : ((~v1_finset_1(D)) | (~m1_subset_1(D, k1_zfmisc_1(u1_struct_0(A!0)))) | r4_waybel_0(A!0, C!2, C, D)))) | (~(v4_waybel34(C, A!0, C!2) | (~((~v1_finset_1(tptp_fun_D_5(C, C!2, A!0))) | r4_waybel_0(A!0, C!2, C, tptp_fun_D_5(C, C!2, A!0)) | (~m1_subset_1(tptp_fun_D_5(C, C!2, A!0), k1_zfmisc_1(u1_struct_0(A!0)))))))))))) | ((~v1_funct_1(k5_relat_1(D!3, E!4))) | (~m2_relset_1(k5_relat_1(D!3, E!4), u1_struct_0(A!0), u1_struct_0(C!2))) | (~v1_funct_2(k5_relat_1(D!3, E!4), u1_struct_0(A!0), u1_struct_0(C!2))) | (~((~((~v4_waybel34(k5_relat_1(D!3, E!4), A!0, C!2)) | ![D: $i] : ((~v1_finset_1(D)) | (~m1_subset_1(D, k1_zfmisc_1(u1_struct_0(A!0)))) | r4_waybel_0(A!0, C!2, k5_relat_1(D!3, E!4), D)))) | (~(v4_waybel34(k5_relat_1(D!3, E!4), A!0, C!2) | (~((~v1_finset_1(tptp_fun_D_5(k5_relat_1(D!3, E!4), C!2, A!0))) | r4_waybel_0(A!0, C!2, k5_relat_1(D!3, E!4), tptp_fun_D_5(k5_relat_1(D!3, E!4), C!2, A!0)) | (~m1_subset_1(tptp_fun_D_5(k5_relat_1(D!3, E!4), C!2, A!0), k1_zfmisc_1(u1_struct_0(A!0)))))))))))) <=> ((~![C: $i] : ((~v1_funct_1(C)) | (~m2_relset_1(C, u1_struct_0(A!0), u1_struct_0(C!2))) | (~v1_funct_2(C, u1_struct_0(A!0), u1_struct_0(C!2))) | (~((~((~v4_waybel34(C, A!0, C!2)) | ![D: $i] : ((~v1_finset_1(D)) | (~m1_subset_1(D, k1_zfmisc_1(u1_struct_0(A!0)))) | r4_waybel_0(A!0, C!2, C, D)))) | (~(v4_waybel34(C, A!0, C!2) | (~((~v1_finset_1(tptp_fun_D_5(C, C!2, A!0))) | r4_waybel_0(A!0, C!2, C, tptp_fun_D_5(C, C!2, A!0)) | (~m1_subset_1(tptp_fun_D_5(C, C!2, A!0), k1_zfmisc_1(u1_struct_0(A!0)))))))))))) | (~v1_funct_1(k5_relat_1(D!3, E!4))) | (~m2_relset_1(k5_relat_1(D!3, E!4), u1_struct_0(A!0), u1_struct_0(C!2))) | (~v1_funct_2(k5_relat_1(D!3, E!4), u1_struct_0(A!0), u1_struct_0(C!2))) | (~((~((~v4_waybel34(k5_relat_1(D!3, E!4), A!0, C!2)) | ![D: $i] : ((~v1_finset_1(D)) | (~m1_subset_1(D, k1_zfmisc_1(u1_struct_0(A!0)))) | r4_waybel_0(A!0, C!2, k5_relat_1(D!3, E!4), D)))) | (~(v4_waybel34(k5_relat_1(D!3, E!4), A!0, C!2) | (~((~v1_finset_1(tptp_fun_D_5(k5_relat_1(D!3, E!4), C!2, A!0))) | (~m1_subset_1(tptp_fun_D_5(k5_relat_1(D!3, E!4), C!2, A!0), k1_zfmisc_1(u1_struct_0(A!0)))) | r4_waybel_0(A!0, C!2, k5_relat_1(D!3, E!4), tptp_fun_D_5(k5_relat_1(D!3, E!4), C!2, A!0)))))))))),
% 0.47/0.64 inference(transitivity,[status(thm)],[237, 235])).
% 0.47/0.64 tff(239,plain,
% 0.47/0.64 ((~![C: $i] : ((~v1_funct_1(C)) | (~m2_relset_1(C, u1_struct_0(A!0), u1_struct_0(C!2))) | (~v1_funct_2(C, u1_struct_0(A!0), u1_struct_0(C!2))) | (~((~((~v4_waybel34(C, A!0, C!2)) | ![D: $i] : ((~v1_finset_1(D)) | (~m1_subset_1(D, k1_zfmisc_1(u1_struct_0(A!0)))) | r4_waybel_0(A!0, C!2, C, D)))) | (~(v4_waybel34(C, A!0, C!2) | (~((~v1_finset_1(tptp_fun_D_5(C, C!2, A!0))) | r4_waybel_0(A!0, C!2, C, tptp_fun_D_5(C, C!2, A!0)) | (~m1_subset_1(tptp_fun_D_5(C, C!2, A!0), k1_zfmisc_1(u1_struct_0(A!0)))))))))))) | ((~v1_funct_1(k5_relat_1(D!3, E!4))) | (~m2_relset_1(k5_relat_1(D!3, E!4), u1_struct_0(A!0), u1_struct_0(C!2))) | (~v1_funct_2(k5_relat_1(D!3, E!4), u1_struct_0(A!0), u1_struct_0(C!2))) | (~((~((~v4_waybel34(k5_relat_1(D!3, E!4), A!0, C!2)) | ![D: $i] : ((~v1_finset_1(D)) | (~m1_subset_1(D, k1_zfmisc_1(u1_struct_0(A!0)))) | r4_waybel_0(A!0, C!2, k5_relat_1(D!3, E!4), D)))) | (~(v4_waybel34(k5_relat_1(D!3, E!4), A!0, C!2) | (~((~v1_finset_1(tptp_fun_D_5(k5_relat_1(D!3, E!4), C!2, A!0))) | r4_waybel_0(A!0, C!2, k5_relat_1(D!3, E!4), tptp_fun_D_5(k5_relat_1(D!3, E!4), C!2, A!0)) | (~m1_subset_1(tptp_fun_D_5(k5_relat_1(D!3, E!4), C!2, A!0), k1_zfmisc_1(u1_struct_0(A!0)))))))))))),
% 0.47/0.64 inference(quant_inst,[status(thm)],[])).
% 0.47/0.64 tff(240,plain,
% 0.47/0.64 ((~![C: $i] : ((~v1_funct_1(C)) | (~m2_relset_1(C, u1_struct_0(A!0), u1_struct_0(C!2))) | (~v1_funct_2(C, u1_struct_0(A!0), u1_struct_0(C!2))) | (~((~((~v4_waybel34(C, A!0, C!2)) | ![D: $i] : ((~v1_finset_1(D)) | (~m1_subset_1(D, k1_zfmisc_1(u1_struct_0(A!0)))) | r4_waybel_0(A!0, C!2, C, D)))) | (~(v4_waybel34(C, A!0, C!2) | (~((~v1_finset_1(tptp_fun_D_5(C, C!2, A!0))) | r4_waybel_0(A!0, C!2, C, tptp_fun_D_5(C, C!2, A!0)) | (~m1_subset_1(tptp_fun_D_5(C, C!2, A!0), k1_zfmisc_1(u1_struct_0(A!0)))))))))))) | (~v1_funct_1(k5_relat_1(D!3, E!4))) | (~m2_relset_1(k5_relat_1(D!3, E!4), u1_struct_0(A!0), u1_struct_0(C!2))) | (~v1_funct_2(k5_relat_1(D!3, E!4), u1_struct_0(A!0), u1_struct_0(C!2))) | (~((~((~v4_waybel34(k5_relat_1(D!3, E!4), A!0, C!2)) | ![D: $i] : ((~v1_finset_1(D)) | (~m1_subset_1(D, k1_zfmisc_1(u1_struct_0(A!0)))) | r4_waybel_0(A!0, C!2, k5_relat_1(D!3, E!4), D)))) | (~(v4_waybel34(k5_relat_1(D!3, E!4), A!0, C!2) | (~((~v1_finset_1(tptp_fun_D_5(k5_relat_1(D!3, E!4), C!2, A!0))) | (~m1_subset_1(tptp_fun_D_5(k5_relat_1(D!3, E!4), C!2, A!0), k1_zfmisc_1(u1_struct_0(A!0)))) | r4_waybel_0(A!0, C!2, k5_relat_1(D!3, E!4), tptp_fun_D_5(k5_relat_1(D!3, E!4), C!2, A!0))))))))),
% 0.47/0.64 inference(modus_ponens,[status(thm)],[239, 238])).
% 0.47/0.64 tff(241,plain,
% 0.47/0.64 ((~v1_funct_2(k5_relat_1(D!3, E!4), u1_struct_0(A!0), u1_struct_0(C!2))) | (~((~((~v4_waybel34(k5_relat_1(D!3, E!4), A!0, C!2)) | ![D: $i] : ((~v1_finset_1(D)) | (~m1_subset_1(D, k1_zfmisc_1(u1_struct_0(A!0)))) | r4_waybel_0(A!0, C!2, k5_relat_1(D!3, E!4), D)))) | (~(v4_waybel34(k5_relat_1(D!3, E!4), A!0, C!2) | (~((~v1_finset_1(tptp_fun_D_5(k5_relat_1(D!3, E!4), C!2, A!0))) | (~m1_subset_1(tptp_fun_D_5(k5_relat_1(D!3, E!4), C!2, A!0), k1_zfmisc_1(u1_struct_0(A!0)))) | r4_waybel_0(A!0, C!2, k5_relat_1(D!3, E!4), tptp_fun_D_5(k5_relat_1(D!3, E!4), C!2, A!0))))))))),
% 0.47/0.65 inference(unit_resolution,[status(thm)],[240, 234, 229, 224])).
% 0.47/0.65 tff(242,plain,
% 0.47/0.65 (~((~((~v4_waybel34(k5_relat_1(D!3, E!4), A!0, C!2)) | ![D: $i] : ((~v1_finset_1(D)) | (~m1_subset_1(D, k1_zfmisc_1(u1_struct_0(A!0)))) | r4_waybel_0(A!0, C!2, k5_relat_1(D!3, E!4), D)))) | (~(v4_waybel34(k5_relat_1(D!3, E!4), A!0, C!2) | (~((~v1_finset_1(tptp_fun_D_5(k5_relat_1(D!3, E!4), C!2, A!0))) | (~m1_subset_1(tptp_fun_D_5(k5_relat_1(D!3, E!4), C!2, A!0), k1_zfmisc_1(u1_struct_0(A!0)))) | r4_waybel_0(A!0, C!2, k5_relat_1(D!3, E!4), tptp_fun_D_5(k5_relat_1(D!3, E!4), C!2, A!0)))))))),
% 0.47/0.65 inference(unit_resolution,[status(thm)],[241, 191])).
% 0.47/0.65 tff(243,plain,
% 0.47/0.65 (((~((~v4_waybel34(k5_relat_1(D!3, E!4), A!0, C!2)) | ![D: $i] : ((~v1_finset_1(D)) | (~m1_subset_1(D, k1_zfmisc_1(u1_struct_0(A!0)))) | r4_waybel_0(A!0, C!2, k5_relat_1(D!3, E!4), D)))) | (~(v4_waybel34(k5_relat_1(D!3, E!4), A!0, C!2) | (~((~v1_finset_1(tptp_fun_D_5(k5_relat_1(D!3, E!4), C!2, A!0))) | (~m1_subset_1(tptp_fun_D_5(k5_relat_1(D!3, E!4), C!2, A!0), k1_zfmisc_1(u1_struct_0(A!0)))) | r4_waybel_0(A!0, C!2, k5_relat_1(D!3, E!4), tptp_fun_D_5(k5_relat_1(D!3, E!4), C!2, A!0))))))) | (v4_waybel34(k5_relat_1(D!3, E!4), A!0, C!2) | (~((~v1_finset_1(tptp_fun_D_5(k5_relat_1(D!3, E!4), C!2, A!0))) | (~m1_subset_1(tptp_fun_D_5(k5_relat_1(D!3, E!4), C!2, A!0), k1_zfmisc_1(u1_struct_0(A!0)))) | r4_waybel_0(A!0, C!2, k5_relat_1(D!3, E!4), tptp_fun_D_5(k5_relat_1(D!3, E!4), C!2, A!0)))))),
% 0.47/0.65 inference(tautology,[status(thm)],[])).
% 0.47/0.65 tff(244,plain,
% 0.47/0.65 (v4_waybel34(k5_relat_1(D!3, E!4), A!0, C!2) | (~((~v1_finset_1(tptp_fun_D_5(k5_relat_1(D!3, E!4), C!2, A!0))) | (~m1_subset_1(tptp_fun_D_5(k5_relat_1(D!3, E!4), C!2, A!0), k1_zfmisc_1(u1_struct_0(A!0)))) | r4_waybel_0(A!0, C!2, k5_relat_1(D!3, E!4), tptp_fun_D_5(k5_relat_1(D!3, E!4), C!2, A!0))))),
% 0.47/0.65 inference(unit_resolution,[status(thm)],[243, 242])).
% 0.47/0.65 tff(245,plain,
% 0.47/0.65 ((~(v4_waybel34(k5_relat_1(D!3, E!4), A!0, C!2) | (~((~v1_finset_1(tptp_fun_D_5(k5_relat_1(D!3, E!4), C!2, A!0))) | (~m1_subset_1(tptp_fun_D_5(k5_relat_1(D!3, E!4), C!2, A!0), k1_zfmisc_1(u1_struct_0(A!0)))) | r4_waybel_0(A!0, C!2, k5_relat_1(D!3, E!4), tptp_fun_D_5(k5_relat_1(D!3, E!4), C!2, A!0)))))) | v4_waybel34(k5_relat_1(D!3, E!4), A!0, C!2) | (~((~v1_finset_1(tptp_fun_D_5(k5_relat_1(D!3, E!4), C!2, A!0))) | (~m1_subset_1(tptp_fun_D_5(k5_relat_1(D!3, E!4), C!2, A!0), k1_zfmisc_1(u1_struct_0(A!0)))) | r4_waybel_0(A!0, C!2, k5_relat_1(D!3, E!4), tptp_fun_D_5(k5_relat_1(D!3, E!4), C!2, A!0))))),
% 0.47/0.65 inference(tautology,[status(thm)],[])).
% 0.47/0.65 tff(246,plain,
% 0.47/0.65 (~((~v1_finset_1(tptp_fun_D_5(k5_relat_1(D!3, E!4), C!2, A!0))) | (~m1_subset_1(tptp_fun_D_5(k5_relat_1(D!3, E!4), C!2, A!0), k1_zfmisc_1(u1_struct_0(A!0)))) | r4_waybel_0(A!0, C!2, k5_relat_1(D!3, E!4), tptp_fun_D_5(k5_relat_1(D!3, E!4), C!2, A!0)))),
% 0.47/0.65 inference(unit_resolution,[status(thm)],[245, 244, 162])).
% 0.47/0.65 tff(247,plain,
% 0.47/0.65 (((~v1_finset_1(tptp_fun_D_5(k5_relat_1(D!3, E!4), C!2, A!0))) | (~m1_subset_1(tptp_fun_D_5(k5_relat_1(D!3, E!4), C!2, A!0), k1_zfmisc_1(u1_struct_0(A!0)))) | r4_waybel_0(A!0, C!2, k5_relat_1(D!3, E!4), tptp_fun_D_5(k5_relat_1(D!3, E!4), C!2, A!0))) | (~r4_waybel_0(A!0, C!2, k5_relat_1(D!3, E!4), tptp_fun_D_5(k5_relat_1(D!3, E!4), C!2, A!0)))),
% 0.47/0.65 inference(tautology,[status(thm)],[])).
% 0.47/0.65 tff(248,plain,
% 0.47/0.65 (~r4_waybel_0(A!0, C!2, k5_relat_1(D!3, E!4), tptp_fun_D_5(k5_relat_1(D!3, E!4), C!2, A!0))),
% 0.47/0.65 inference(unit_resolution,[status(thm)],[247, 246])).
% 0.47/0.65 tff(249,plain,
% 0.47/0.65 (~r4_waybel_0(A!0, C!2, k7_funct_2(u1_struct_0(A!0), u1_struct_0(B!1), u1_struct_0(C!2), D!3, E!4), tptp_fun_D_5(k5_relat_1(D!3, E!4), C!2, A!0))),
% 0.47/0.65 inference(modus_ponens,[status(thm)],[248, 156])).
% 0.47/0.65 tff(250,plain,
% 0.47/0.65 (^[A: $i] : refl((v3_struct_0(A) | (~l1_orders_2(A)) | ![B: $i] : (v3_struct_0(B) | (~l1_orders_2(B)) | ![C: $i] : (v3_struct_0(C) | (~l1_orders_2(C)) | ![D: $i] : ((~m1_subset_1(D, k1_zfmisc_1(u1_struct_0(A)))) | ![E: $i] : ((~v1_funct_1(E)) | (~v1_funct_2(E, u1_struct_0(A), u1_struct_0(B))) | (~m2_relset_1(E, u1_struct_0(A), u1_struct_0(B))) | ![F: $i] : (r4_waybel_0(A, C, k7_funct_2(u1_struct_0(A), u1_struct_0(B), u1_struct_0(C), E, F), D) | (~v1_funct_1(F)) | (~v1_funct_2(F, u1_struct_0(B), u1_struct_0(C))) | (~m2_relset_1(F, u1_struct_0(B), u1_struct_0(C))) | (~r4_waybel_0(A, B, E, D)) | (~r4_waybel_0(B, C, F, k4_pre_topc(A, B, E, D))))))))) <=> (v3_struct_0(A) | (~l1_orders_2(A)) | ![B: $i] : (v3_struct_0(B) | (~l1_orders_2(B)) | ![C: $i] : (v3_struct_0(C) | (~l1_orders_2(C)) | ![D: $i] : ((~m1_subset_1(D, k1_zfmisc_1(u1_struct_0(A)))) | ![E: $i] : ((~v1_funct_1(E)) | (~v1_funct_2(E, u1_struct_0(A), u1_struct_0(B))) | (~m2_relset_1(E, u1_struct_0(A), u1_struct_0(B))) | ![F: $i] : (r4_waybel_0(A, C, k7_funct_2(u1_struct_0(A), u1_struct_0(B), u1_struct_0(C), E, F), D) | (~v1_funct_1(F)) | (~v1_funct_2(F, u1_struct_0(B), u1_struct_0(C))) | (~m2_relset_1(F, u1_struct_0(B), u1_struct_0(C))) | (~r4_waybel_0(A, B, E, D)) | (~r4_waybel_0(B, C, F, k4_pre_topc(A, B, E, D))))))))))),
% 0.47/0.65 inference(bind,[status(th)],[])).
% 0.47/0.65 tff(251,plain,
% 0.47/0.65 (![A: $i] : (v3_struct_0(A) | (~l1_orders_2(A)) | ![B: $i] : (v3_struct_0(B) | (~l1_orders_2(B)) | ![C: $i] : (v3_struct_0(C) | (~l1_orders_2(C)) | ![D: $i] : ((~m1_subset_1(D, k1_zfmisc_1(u1_struct_0(A)))) | ![E: $i] : ((~v1_funct_1(E)) | (~v1_funct_2(E, u1_struct_0(A), u1_struct_0(B))) | (~m2_relset_1(E, u1_struct_0(A), u1_struct_0(B))) | ![F: $i] : (r4_waybel_0(A, C, k7_funct_2(u1_struct_0(A), u1_struct_0(B), u1_struct_0(C), E, F), D) | (~v1_funct_1(F)) | (~v1_funct_2(F, u1_struct_0(B), u1_struct_0(C))) | (~m2_relset_1(F, u1_struct_0(B), u1_struct_0(C))) | (~r4_waybel_0(A, B, E, D)) | (~r4_waybel_0(B, C, F, k4_pre_topc(A, B, E, D))))))))) <=> ![A: $i] : (v3_struct_0(A) | (~l1_orders_2(A)) | ![B: $i] : (v3_struct_0(B) | (~l1_orders_2(B)) | ![C: $i] : (v3_struct_0(C) | (~l1_orders_2(C)) | ![D: $i] : ((~m1_subset_1(D, k1_zfmisc_1(u1_struct_0(A)))) | ![E: $i] : ((~v1_funct_1(E)) | (~v1_funct_2(E, u1_struct_0(A), u1_struct_0(B))) | (~m2_relset_1(E, u1_struct_0(A), u1_struct_0(B))) | ![F: $i] : (r4_waybel_0(A, C, k7_funct_2(u1_struct_0(A), u1_struct_0(B), u1_struct_0(C), E, F), D) | (~v1_funct_1(F)) | (~v1_funct_2(F, u1_struct_0(B), u1_struct_0(C))) | (~m2_relset_1(F, u1_struct_0(B), u1_struct_0(C))) | (~r4_waybel_0(A, B, E, D)) | (~r4_waybel_0(B, C, F, k4_pre_topc(A, B, E, D)))))))))),
% 0.47/0.65 inference(quant_intro,[status(thm)],[250])).
% 0.47/0.65 tff(252,plain,
% 0.47/0.65 (^[A: $i] : rewrite((v3_struct_0(A) | (~l1_orders_2(A)) | ![B: $i] : (v3_struct_0(B) | (~l1_orders_2(B)) | ![C: $i] : (v3_struct_0(C) | (~l1_orders_2(C)) | ![D: $i] : ((~m1_subset_1(D, k1_zfmisc_1(u1_struct_0(A)))) | ![E: $i] : ((~v1_funct_1(E)) | (~v1_funct_2(E, u1_struct_0(A), u1_struct_0(B))) | (~m2_relset_1(E, u1_struct_0(A), u1_struct_0(B))) | ![F: $i] : (r4_waybel_0(A, C, k7_funct_2(u1_struct_0(A), u1_struct_0(B), u1_struct_0(C), E, F), D) | (~v1_funct_1(F)) | (~v1_funct_2(F, u1_struct_0(B), u1_struct_0(C))) | (~m2_relset_1(F, u1_struct_0(B), u1_struct_0(C))) | (~r4_waybel_0(A, B, E, D)) | (~r4_waybel_0(B, C, F, k4_pre_topc(A, B, E, D))))))))) <=> (v3_struct_0(A) | (~l1_orders_2(A)) | ![B: $i] : (v3_struct_0(B) | (~l1_orders_2(B)) | ![C: $i] : (v3_struct_0(C) | (~l1_orders_2(C)) | ![D: $i] : ((~m1_subset_1(D, k1_zfmisc_1(u1_struct_0(A)))) | ![E: $i] : ((~v1_funct_1(E)) | (~v1_funct_2(E, u1_struct_0(A), u1_struct_0(B))) | (~m2_relset_1(E, u1_struct_0(A), u1_struct_0(B))) | ![F: $i] : (r4_waybel_0(A, C, k7_funct_2(u1_struct_0(A), u1_struct_0(B), u1_struct_0(C), E, F), D) | (~v1_funct_1(F)) | (~v1_funct_2(F, u1_struct_0(B), u1_struct_0(C))) | (~m2_relset_1(F, u1_struct_0(B), u1_struct_0(C))) | (~r4_waybel_0(A, B, E, D)) | (~r4_waybel_0(B, C, F, k4_pre_topc(A, B, E, D))))))))))),
% 0.50/0.65 inference(bind,[status(th)],[])).
% 0.50/0.65 tff(253,plain,
% 0.50/0.65 (![A: $i] : (v3_struct_0(A) | (~l1_orders_2(A)) | ![B: $i] : (v3_struct_0(B) | (~l1_orders_2(B)) | ![C: $i] : (v3_struct_0(C) | (~l1_orders_2(C)) | ![D: $i] : ((~m1_subset_1(D, k1_zfmisc_1(u1_struct_0(A)))) | ![E: $i] : ((~v1_funct_1(E)) | (~v1_funct_2(E, u1_struct_0(A), u1_struct_0(B))) | (~m2_relset_1(E, u1_struct_0(A), u1_struct_0(B))) | ![F: $i] : (r4_waybel_0(A, C, k7_funct_2(u1_struct_0(A), u1_struct_0(B), u1_struct_0(C), E, F), D) | (~v1_funct_1(F)) | (~v1_funct_2(F, u1_struct_0(B), u1_struct_0(C))) | (~m2_relset_1(F, u1_struct_0(B), u1_struct_0(C))) | (~r4_waybel_0(A, B, E, D)) | (~r4_waybel_0(B, C, F, k4_pre_topc(A, B, E, D))))))))) <=> ![A: $i] : (v3_struct_0(A) | (~l1_orders_2(A)) | ![B: $i] : (v3_struct_0(B) | (~l1_orders_2(B)) | ![C: $i] : (v3_struct_0(C) | (~l1_orders_2(C)) | ![D: $i] : ((~m1_subset_1(D, k1_zfmisc_1(u1_struct_0(A)))) | ![E: $i] : ((~v1_funct_1(E)) | (~v1_funct_2(E, u1_struct_0(A), u1_struct_0(B))) | (~m2_relset_1(E, u1_struct_0(A), u1_struct_0(B))) | ![F: $i] : (r4_waybel_0(A, C, k7_funct_2(u1_struct_0(A), u1_struct_0(B), u1_struct_0(C), E, F), D) | (~v1_funct_1(F)) | (~v1_funct_2(F, u1_struct_0(B), u1_struct_0(C))) | (~m2_relset_1(F, u1_struct_0(B), u1_struct_0(C))) | (~r4_waybel_0(A, B, E, D)) | (~r4_waybel_0(B, C, F, k4_pre_topc(A, B, E, D)))))))))),
% 0.50/0.65 inference(quant_intro,[status(thm)],[252])).
% 0.50/0.65 tff(254,plain,
% 0.50/0.65 (![A: $i] : (v3_struct_0(A) | (~l1_orders_2(A)) | ![B: $i] : (v3_struct_0(B) | (~l1_orders_2(B)) | ![C: $i] : (v3_struct_0(C) | (~l1_orders_2(C)) | ![D: $i] : ((~m1_subset_1(D, k1_zfmisc_1(u1_struct_0(A)))) | ![E: $i] : ((~v1_funct_1(E)) | (~v1_funct_2(E, u1_struct_0(A), u1_struct_0(B))) | (~m2_relset_1(E, u1_struct_0(A), u1_struct_0(B))) | ![F: $i] : (r4_waybel_0(A, C, k7_funct_2(u1_struct_0(A), u1_struct_0(B), u1_struct_0(C), E, F), D) | (~v1_funct_1(F)) | (~v1_funct_2(F, u1_struct_0(B), u1_struct_0(C))) | (~m2_relset_1(F, u1_struct_0(B), u1_struct_0(C))) | (~r4_waybel_0(A, B, E, D)) | (~r4_waybel_0(B, C, F, k4_pre_topc(A, B, E, D))))))))) <=> ![A: $i] : (v3_struct_0(A) | (~l1_orders_2(A)) | ![B: $i] : (v3_struct_0(B) | (~l1_orders_2(B)) | ![C: $i] : (v3_struct_0(C) | (~l1_orders_2(C)) | ![D: $i] : ((~m1_subset_1(D, k1_zfmisc_1(u1_struct_0(A)))) | ![E: $i] : ((~v1_funct_1(E)) | (~v1_funct_2(E, u1_struct_0(A), u1_struct_0(B))) | (~m2_relset_1(E, u1_struct_0(A), u1_struct_0(B))) | ![F: $i] : (r4_waybel_0(A, C, k7_funct_2(u1_struct_0(A), u1_struct_0(B), u1_struct_0(C), E, F), D) | (~v1_funct_1(F)) | (~v1_funct_2(F, u1_struct_0(B), u1_struct_0(C))) | (~m2_relset_1(F, u1_struct_0(B), u1_struct_0(C))) | (~r4_waybel_0(A, B, E, D)) | (~r4_waybel_0(B, C, F, k4_pre_topc(A, B, E, D)))))))))),
% 0.50/0.65 inference(transitivity,[status(thm)],[253, 251])).
% 0.50/0.65 tff(255,plain,
% 0.50/0.65 (^[A: $i] : trans(monotonicity(trans(monotonicity(rewrite(((~v3_struct_0(A)) & l1_orders_2(A)) <=> (~(v3_struct_0(A) | (~l1_orders_2(A))))), ((~((~v3_struct_0(A)) & l1_orders_2(A))) <=> (~(~(v3_struct_0(A) | (~l1_orders_2(A))))))), rewrite((~(~(v3_struct_0(A) | (~l1_orders_2(A))))) <=> (v3_struct_0(A) | (~l1_orders_2(A)))), ((~((~v3_struct_0(A)) & l1_orders_2(A))) <=> (v3_struct_0(A) | (~l1_orders_2(A))))), quant_intro(proof_bind(^[B: $i] : trans(monotonicity(trans(monotonicity(rewrite(((~v3_struct_0(B)) & l1_orders_2(B)) <=> (~(v3_struct_0(B) | (~l1_orders_2(B))))), ((~((~v3_struct_0(B)) & l1_orders_2(B))) <=> (~(~(v3_struct_0(B) | (~l1_orders_2(B))))))), rewrite((~(~(v3_struct_0(B) | (~l1_orders_2(B))))) <=> (v3_struct_0(B) | (~l1_orders_2(B)))), ((~((~v3_struct_0(B)) & l1_orders_2(B))) <=> (v3_struct_0(B) | (~l1_orders_2(B))))), quant_intro(proof_bind(^[C: $i] : trans(monotonicity(trans(monotonicity(rewrite(((~v3_struct_0(C)) & l1_orders_2(C)) <=> (~(v3_struct_0(C) | (~l1_orders_2(C))))), ((~((~v3_struct_0(C)) & l1_orders_2(C))) <=> (~(~(v3_struct_0(C) | (~l1_orders_2(C))))))), rewrite((~(~(v3_struct_0(C) | (~l1_orders_2(C))))) <=> (v3_struct_0(C) | (~l1_orders_2(C)))), ((~((~v3_struct_0(C)) & l1_orders_2(C))) <=> (v3_struct_0(C) | (~l1_orders_2(C))))), quant_intro(proof_bind(^[D: $i] : rewrite(((~m1_subset_1(D, k1_zfmisc_1(u1_struct_0(A)))) | ![E: $i] : ((~(v1_funct_1(E) & v1_funct_2(E, u1_struct_0(A), u1_struct_0(B)) & m2_relset_1(E, u1_struct_0(A), u1_struct_0(B)))) | ![F: $i] : (r4_waybel_0(A, C, k7_funct_2(u1_struct_0(A), u1_struct_0(B), u1_struct_0(C), E, F), D) | (~(r4_waybel_0(A, B, E, D) & r4_waybel_0(B, C, F, k4_pre_topc(A, B, E, D)))) | (~(v1_funct_1(F) & v1_funct_2(F, u1_struct_0(B), u1_struct_0(C)) & m2_relset_1(F, u1_struct_0(B), u1_struct_0(C))))))) <=> ((~m1_subset_1(D, k1_zfmisc_1(u1_struct_0(A)))) | ![E: $i] : ((~v1_funct_1(E)) | (~v1_funct_2(E, u1_struct_0(A), u1_struct_0(B))) | (~m2_relset_1(E, u1_struct_0(A), u1_struct_0(B))) | ![F: $i] : (r4_waybel_0(A, C, k7_funct_2(u1_struct_0(A), u1_struct_0(B), u1_struct_0(C), E, F), D) | (~v1_funct_1(F)) | (~v1_funct_2(F, u1_struct_0(B), u1_struct_0(C))) | (~m2_relset_1(F, u1_struct_0(B), u1_struct_0(C))) | (~r4_waybel_0(A, B, E, D)) | (~r4_waybel_0(B, C, F, k4_pre_topc(A, B, E, D)))))))), (![D: $i] : ((~m1_subset_1(D, k1_zfmisc_1(u1_struct_0(A)))) | ![E: $i] : ((~(v1_funct_1(E) & v1_funct_2(E, u1_struct_0(A), u1_struct_0(B)) & m2_relset_1(E, u1_struct_0(A), u1_struct_0(B)))) | ![F: $i] : (r4_waybel_0(A, C, k7_funct_2(u1_struct_0(A), u1_struct_0(B), u1_struct_0(C), E, F), D) | (~(r4_waybel_0(A, B, E, D) & r4_waybel_0(B, C, F, k4_pre_topc(A, B, E, D)))) | (~(v1_funct_1(F) & v1_funct_2(F, u1_struct_0(B), u1_struct_0(C)) & m2_relset_1(F, u1_struct_0(B), u1_struct_0(C))))))) <=> ![D: $i] : ((~m1_subset_1(D, k1_zfmisc_1(u1_struct_0(A)))) | ![E: $i] : ((~v1_funct_1(E)) | (~v1_funct_2(E, u1_struct_0(A), u1_struct_0(B))) | (~m2_relset_1(E, u1_struct_0(A), u1_struct_0(B))) | ![F: $i] : (r4_waybel_0(A, C, k7_funct_2(u1_struct_0(A), u1_struct_0(B), u1_struct_0(C), E, F), D) | (~v1_funct_1(F)) | (~v1_funct_2(F, u1_struct_0(B), u1_struct_0(C))) | (~m2_relset_1(F, u1_struct_0(B), u1_struct_0(C))) | (~r4_waybel_0(A, B, E, D)) | (~r4_waybel_0(B, C, F, k4_pre_topc(A, B, E, D)))))))), (((~((~v3_struct_0(C)) & l1_orders_2(C))) | ![D: $i] : ((~m1_subset_1(D, k1_zfmisc_1(u1_struct_0(A)))) | ![E: $i] : ((~(v1_funct_1(E) & v1_funct_2(E, u1_struct_0(A), u1_struct_0(B)) & m2_relset_1(E, u1_struct_0(A), u1_struct_0(B)))) | ![F: $i] : (r4_waybel_0(A, C, k7_funct_2(u1_struct_0(A), u1_struct_0(B), u1_struct_0(C), E, F), D) | (~(r4_waybel_0(A, B, E, D) & r4_waybel_0(B, C, F, k4_pre_topc(A, B, E, D)))) | (~(v1_funct_1(F) & v1_funct_2(F, u1_struct_0(B), u1_struct_0(C)) & m2_relset_1(F, u1_struct_0(B), u1_struct_0(C)))))))) <=> ((v3_struct_0(C) | (~l1_orders_2(C))) | ![D: $i] : ((~m1_subset_1(D, k1_zfmisc_1(u1_struct_0(A)))) | ![E: $i] : ((~v1_funct_1(E)) | (~v1_funct_2(E, u1_struct_0(A), u1_struct_0(B))) | (~m2_relset_1(E, u1_struct_0(A), u1_struct_0(B))) | ![F: $i] : (r4_waybel_0(A, C, k7_funct_2(u1_struct_0(A), u1_struct_0(B), u1_struct_0(C), E, F), D) | (~v1_funct_1(F)) | (~v1_funct_2(F, u1_struct_0(B), u1_struct_0(C))) | (~m2_relset_1(F, u1_struct_0(B), u1_struct_0(C))) | (~r4_waybel_0(A, B, E, D)) | (~r4_waybel_0(B, C, F, k4_pre_topc(A, B, E, D))))))))), rewrite(((v3_struct_0(C) | (~l1_orders_2(C))) | ![D: $i] : ((~m1_subset_1(D, k1_zfmisc_1(u1_struct_0(A)))) | ![E: $i] : ((~v1_funct_1(E)) | (~v1_funct_2(E, u1_struct_0(A), u1_struct_0(B))) | (~m2_relset_1(E, u1_struct_0(A), u1_struct_0(B))) | ![F: $i] : (r4_waybel_0(A, C, k7_funct_2(u1_struct_0(A), u1_struct_0(B), u1_struct_0(C), E, F), D) | (~v1_funct_1(F)) | (~v1_funct_2(F, u1_struct_0(B), u1_struct_0(C))) | (~m2_relset_1(F, u1_struct_0(B), u1_struct_0(C))) | (~r4_waybel_0(A, B, E, D)) | (~r4_waybel_0(B, C, F, k4_pre_topc(A, B, E, D))))))) <=> (v3_struct_0(C) | (~l1_orders_2(C)) | ![D: $i] : ((~m1_subset_1(D, k1_zfmisc_1(u1_struct_0(A)))) | ![E: $i] : ((~v1_funct_1(E)) | (~v1_funct_2(E, u1_struct_0(A), u1_struct_0(B))) | (~m2_relset_1(E, u1_struct_0(A), u1_struct_0(B))) | ![F: $i] : (r4_waybel_0(A, C, k7_funct_2(u1_struct_0(A), u1_struct_0(B), u1_struct_0(C), E, F), D) | (~v1_funct_1(F)) | (~v1_funct_2(F, u1_struct_0(B), u1_struct_0(C))) | (~m2_relset_1(F, u1_struct_0(B), u1_struct_0(C))) | (~r4_waybel_0(A, B, E, D)) | (~r4_waybel_0(B, C, F, k4_pre_topc(A, B, E, D)))))))), (((~((~v3_struct_0(C)) & l1_orders_2(C))) | ![D: $i] : ((~m1_subset_1(D, k1_zfmisc_1(u1_struct_0(A)))) | ![E: $i] : ((~(v1_funct_1(E) & v1_funct_2(E, u1_struct_0(A), u1_struct_0(B)) & m2_relset_1(E, u1_struct_0(A), u1_struct_0(B)))) | ![F: $i] : (r4_waybel_0(A, C, k7_funct_2(u1_struct_0(A), u1_struct_0(B), u1_struct_0(C), E, F), D) | (~(r4_waybel_0(A, B, E, D) & r4_waybel_0(B, C, F, k4_pre_topc(A, B, E, D)))) | (~(v1_funct_1(F) & v1_funct_2(F, u1_struct_0(B), u1_struct_0(C)) & m2_relset_1(F, u1_struct_0(B), u1_struct_0(C)))))))) <=> (v3_struct_0(C) | (~l1_orders_2(C)) | ![D: $i] : ((~m1_subset_1(D, k1_zfmisc_1(u1_struct_0(A)))) | ![E: $i] : ((~v1_funct_1(E)) | (~v1_funct_2(E, u1_struct_0(A), u1_struct_0(B))) | (~m2_relset_1(E, u1_struct_0(A), u1_struct_0(B))) | ![F: $i] : (r4_waybel_0(A, C, k7_funct_2(u1_struct_0(A), u1_struct_0(B), u1_struct_0(C), E, F), D) | (~v1_funct_1(F)) | (~v1_funct_2(F, u1_struct_0(B), u1_struct_0(C))) | (~m2_relset_1(F, u1_struct_0(B), u1_struct_0(C))) | (~r4_waybel_0(A, B, E, D)) | (~r4_waybel_0(B, C, F, k4_pre_topc(A, B, E, D)))))))))), (![C: $i] : ((~((~v3_struct_0(C)) & l1_orders_2(C))) | ![D: $i] : ((~m1_subset_1(D, k1_zfmisc_1(u1_struct_0(A)))) | ![E: $i] : ((~(v1_funct_1(E) & v1_funct_2(E, u1_struct_0(A), u1_struct_0(B)) & m2_relset_1(E, u1_struct_0(A), u1_struct_0(B)))) | ![F: $i] : (r4_waybel_0(A, C, k7_funct_2(u1_struct_0(A), u1_struct_0(B), u1_struct_0(C), E, F), D) | (~(r4_waybel_0(A, B, E, D) & r4_waybel_0(B, C, F, k4_pre_topc(A, B, E, D)))) | (~(v1_funct_1(F) & v1_funct_2(F, u1_struct_0(B), u1_struct_0(C)) & m2_relset_1(F, u1_struct_0(B), u1_struct_0(C)))))))) <=> ![C: $i] : (v3_struct_0(C) | (~l1_orders_2(C)) | ![D: $i] : ((~m1_subset_1(D, k1_zfmisc_1(u1_struct_0(A)))) | ![E: $i] : ((~v1_funct_1(E)) | (~v1_funct_2(E, u1_struct_0(A), u1_struct_0(B))) | (~m2_relset_1(E, u1_struct_0(A), u1_struct_0(B))) | ![F: $i] : (r4_waybel_0(A, C, k7_funct_2(u1_struct_0(A), u1_struct_0(B), u1_struct_0(C), E, F), D) | (~v1_funct_1(F)) | (~v1_funct_2(F, u1_struct_0(B), u1_struct_0(C))) | (~m2_relset_1(F, u1_struct_0(B), u1_struct_0(C))) | (~r4_waybel_0(A, B, E, D)) | (~r4_waybel_0(B, C, F, k4_pre_topc(A, B, E, D))))))))), (((~((~v3_struct_0(B)) & l1_orders_2(B))) | ![C: $i] : ((~((~v3_struct_0(C)) & l1_orders_2(C))) | ![D: $i] : ((~m1_subset_1(D, k1_zfmisc_1(u1_struct_0(A)))) | ![E: $i] : ((~(v1_funct_1(E) & v1_funct_2(E, u1_struct_0(A), u1_struct_0(B)) & m2_relset_1(E, u1_struct_0(A), u1_struct_0(B)))) | ![F: $i] : (r4_waybel_0(A, C, k7_funct_2(u1_struct_0(A), u1_struct_0(B), u1_struct_0(C), E, F), D) | (~(r4_waybel_0(A, B, E, D) & r4_waybel_0(B, C, F, k4_pre_topc(A, B, E, D)))) | (~(v1_funct_1(F) & v1_funct_2(F, u1_struct_0(B), u1_struct_0(C)) & m2_relset_1(F, u1_struct_0(B), u1_struct_0(C))))))))) <=> ((v3_struct_0(B) | (~l1_orders_2(B))) | ![C: $i] : (v3_struct_0(C) | (~l1_orders_2(C)) | ![D: $i] : ((~m1_subset_1(D, k1_zfmisc_1(u1_struct_0(A)))) | ![E: $i] : ((~v1_funct_1(E)) | (~v1_funct_2(E, u1_struct_0(A), u1_struct_0(B))) | (~m2_relset_1(E, u1_struct_0(A), u1_struct_0(B))) | ![F: $i] : (r4_waybel_0(A, C, k7_funct_2(u1_struct_0(A), u1_struct_0(B), u1_struct_0(C), E, F), D) | (~v1_funct_1(F)) | (~v1_funct_2(F, u1_struct_0(B), u1_struct_0(C))) | (~m2_relset_1(F, u1_struct_0(B), u1_struct_0(C))) | (~r4_waybel_0(A, B, E, D)) | (~r4_waybel_0(B, C, F, k4_pre_topc(A, B, E, D)))))))))), rewrite(((v3_struct_0(B) | (~l1_orders_2(B))) | ![C: $i] : (v3_struct_0(C) | (~l1_orders_2(C)) | ![D: $i] : ((~m1_subset_1(D, k1_zfmisc_1(u1_struct_0(A)))) | ![E: $i] : ((~v1_funct_1(E)) | (~v1_funct_2(E, u1_struct_0(A), u1_struct_0(B))) | (~m2_relset_1(E, u1_struct_0(A), u1_struct_0(B))) | ![F: $i] : (r4_waybel_0(A, C, k7_funct_2(u1_struct_0(A), u1_struct_0(B), u1_struct_0(C), E, F), D) | (~v1_funct_1(F)) | (~v1_funct_2(F, u1_struct_0(B), u1_struct_0(C))) | (~m2_relset_1(F, u1_struct_0(B), u1_struct_0(C))) | (~r4_waybel_0(A, B, E, D)) | (~r4_waybel_0(B, C, F, k4_pre_topc(A, B, E, D)))))))) <=> (v3_struct_0(B) | (~l1_orders_2(B)) | ![C: $i] : (v3_struct_0(C) | (~l1_orders_2(C)) | ![D: $i] : ((~m1_subset_1(D, k1_zfmisc_1(u1_struct_0(A)))) | ![E: $i] : ((~v1_funct_1(E)) | (~v1_funct_2(E, u1_struct_0(A), u1_struct_0(B))) | (~m2_relset_1(E, u1_struct_0(A), u1_struct_0(B))) | ![F: $i] : (r4_waybel_0(A, C, k7_funct_2(u1_struct_0(A), u1_struct_0(B), u1_struct_0(C), E, F), D) | (~v1_funct_1(F)) | (~v1_funct_2(F, u1_struct_0(B), u1_struct_0(C))) | (~m2_relset_1(F, u1_struct_0(B), u1_struct_0(C))) | (~r4_waybel_0(A, B, E, D)) | (~r4_waybel_0(B, C, F, k4_pre_topc(A, B, E, D))))))))), (((~((~v3_struct_0(B)) & l1_orders_2(B))) | ![C: $i] : ((~((~v3_struct_0(C)) & l1_orders_2(C))) | ![D: $i] : ((~m1_subset_1(D, k1_zfmisc_1(u1_struct_0(A)))) | ![E: $i] : ((~(v1_funct_1(E) & v1_funct_2(E, u1_struct_0(A), u1_struct_0(B)) & m2_relset_1(E, u1_struct_0(A), u1_struct_0(B)))) | ![F: $i] : (r4_waybel_0(A, C, k7_funct_2(u1_struct_0(A), u1_struct_0(B), u1_struct_0(C), E, F), D) | (~(r4_waybel_0(A, B, E, D) & r4_waybel_0(B, C, F, k4_pre_topc(A, B, E, D)))) | (~(v1_funct_1(F) & v1_funct_2(F, u1_struct_0(B), u1_struct_0(C)) & m2_relset_1(F, u1_struct_0(B), u1_struct_0(C))))))))) <=> (v3_struct_0(B) | (~l1_orders_2(B)) | ![C: $i] : (v3_struct_0(C) | (~l1_orders_2(C)) | ![D: $i] : ((~m1_subset_1(D, k1_zfmisc_1(u1_struct_0(A)))) | ![E: $i] : ((~v1_funct_1(E)) | (~v1_funct_2(E, u1_struct_0(A), u1_struct_0(B))) | (~m2_relset_1(E, u1_struct_0(A), u1_struct_0(B))) | ![F: $i] : (r4_waybel_0(A, C, k7_funct_2(u1_struct_0(A), u1_struct_0(B), u1_struct_0(C), E, F), D) | (~v1_funct_1(F)) | (~v1_funct_2(F, u1_struct_0(B), u1_struct_0(C))) | (~m2_relset_1(F, u1_struct_0(B), u1_struct_0(C))) | (~r4_waybel_0(A, B, E, D)) | (~r4_waybel_0(B, C, F, k4_pre_topc(A, B, E, D))))))))))), (![B: $i] : ((~((~v3_struct_0(B)) & l1_orders_2(B))) | ![C: $i] : ((~((~v3_struct_0(C)) & l1_orders_2(C))) | ![D: $i] : ((~m1_subset_1(D, k1_zfmisc_1(u1_struct_0(A)))) | ![E: $i] : ((~(v1_funct_1(E) & v1_funct_2(E, u1_struct_0(A), u1_struct_0(B)) & m2_relset_1(E, u1_struct_0(A), u1_struct_0(B)))) | ![F: $i] : (r4_waybel_0(A, C, k7_funct_2(u1_struct_0(A), u1_struct_0(B), u1_struct_0(C), E, F), D) | (~(r4_waybel_0(A, B, E, D) & r4_waybel_0(B, C, F, k4_pre_topc(A, B, E, D)))) | (~(v1_funct_1(F) & v1_funct_2(F, u1_struct_0(B), u1_struct_0(C)) & m2_relset_1(F, u1_struct_0(B), u1_struct_0(C))))))))) <=> ![B: $i] : (v3_struct_0(B) | (~l1_orders_2(B)) | ![C: $i] : (v3_struct_0(C) | (~l1_orders_2(C)) | ![D: $i] : ((~m1_subset_1(D, k1_zfmisc_1(u1_struct_0(A)))) | ![E: $i] : ((~v1_funct_1(E)) | (~v1_funct_2(E, u1_struct_0(A), u1_struct_0(B))) | (~m2_relset_1(E, u1_struct_0(A), u1_struct_0(B))) | ![F: $i] : (r4_waybel_0(A, C, k7_funct_2(u1_struct_0(A), u1_struct_0(B), u1_struct_0(C), E, F), D) | (~v1_funct_1(F)) | (~v1_funct_2(F, u1_struct_0(B), u1_struct_0(C))) | (~m2_relset_1(F, u1_struct_0(B), u1_struct_0(C))) | (~r4_waybel_0(A, B, E, D)) | (~r4_waybel_0(B, C, F, k4_pre_topc(A, B, E, D)))))))))), (((~((~v3_struct_0(A)) & l1_orders_2(A))) | ![B: $i] : ((~((~v3_struct_0(B)) & l1_orders_2(B))) | ![C: $i] : ((~((~v3_struct_0(C)) & l1_orders_2(C))) | ![D: $i] : ((~m1_subset_1(D, k1_zfmisc_1(u1_struct_0(A)))) | ![E: $i] : ((~(v1_funct_1(E) & v1_funct_2(E, u1_struct_0(A), u1_struct_0(B)) & m2_relset_1(E, u1_struct_0(A), u1_struct_0(B)))) | ![F: $i] : (r4_waybel_0(A, C, k7_funct_2(u1_struct_0(A), u1_struct_0(B), u1_struct_0(C), E, F), D) | (~(r4_waybel_0(A, B, E, D) & r4_waybel_0(B, C, F, k4_pre_topc(A, B, E, D)))) | (~(v1_funct_1(F) & v1_funct_2(F, u1_struct_0(B), u1_struct_0(C)) & m2_relset_1(F, u1_struct_0(B), u1_struct_0(C)))))))))) <=> ((v3_struct_0(A) | (~l1_orders_2(A))) | ![B: $i] : (v3_struct_0(B) | (~l1_orders_2(B)) | ![C: $i] : (v3_struct_0(C) | (~l1_orders_2(C)) | ![D: $i] : ((~m1_subset_1(D, k1_zfmisc_1(u1_struct_0(A)))) | ![E: $i] : ((~v1_funct_1(E)) | (~v1_funct_2(E, u1_struct_0(A), u1_struct_0(B))) | (~m2_relset_1(E, u1_struct_0(A), u1_struct_0(B))) | ![F: $i] : (r4_waybel_0(A, C, k7_funct_2(u1_struct_0(A), u1_struct_0(B), u1_struct_0(C), E, F), D) | (~v1_funct_1(F)) | (~v1_funct_2(F, u1_struct_0(B), u1_struct_0(C))) | (~m2_relset_1(F, u1_struct_0(B), u1_struct_0(C))) | (~r4_waybel_0(A, B, E, D)) | (~r4_waybel_0(B, C, F, k4_pre_topc(A, B, E, D))))))))))), rewrite(((v3_struct_0(A) | (~l1_orders_2(A))) | ![B: $i] : (v3_struct_0(B) | (~l1_orders_2(B)) | ![C: $i] : (v3_struct_0(C) | (~l1_orders_2(C)) | ![D: $i] : ((~m1_subset_1(D, k1_zfmisc_1(u1_struct_0(A)))) | ![E: $i] : ((~v1_funct_1(E)) | (~v1_funct_2(E, u1_struct_0(A), u1_struct_0(B))) | (~m2_relset_1(E, u1_struct_0(A), u1_struct_0(B))) | ![F: $i] : (r4_waybel_0(A, C, k7_funct_2(u1_struct_0(A), u1_struct_0(B), u1_struct_0(C), E, F), D) | (~v1_funct_1(F)) | (~v1_funct_2(F, u1_struct_0(B), u1_struct_0(C))) | (~m2_relset_1(F, u1_struct_0(B), u1_struct_0(C))) | (~r4_waybel_0(A, B, E, D)) | (~r4_waybel_0(B, C, F, k4_pre_topc(A, B, E, D))))))))) <=> (v3_struct_0(A) | (~l1_orders_2(A)) | ![B: $i] : (v3_struct_0(B) | (~l1_orders_2(B)) | ![C: $i] : (v3_struct_0(C) | (~l1_orders_2(C)) | ![D: $i] : ((~m1_subset_1(D, k1_zfmisc_1(u1_struct_0(A)))) | ![E: $i] : ((~v1_funct_1(E)) | (~v1_funct_2(E, u1_struct_0(A), u1_struct_0(B))) | (~m2_relset_1(E, u1_struct_0(A), u1_struct_0(B))) | ![F: $i] : (r4_waybel_0(A, C, k7_funct_2(u1_struct_0(A), u1_struct_0(B), u1_struct_0(C), E, F), D) | (~v1_funct_1(F)) | (~v1_funct_2(F, u1_struct_0(B), u1_struct_0(C))) | (~m2_relset_1(F, u1_struct_0(B), u1_struct_0(C))) | (~r4_waybel_0(A, B, E, D)) | (~r4_waybel_0(B, C, F, k4_pre_topc(A, B, E, D)))))))))), (((~((~v3_struct_0(A)) & l1_orders_2(A))) | ![B: $i] : ((~((~v3_struct_0(B)) & l1_orders_2(B))) | ![C: $i] : ((~((~v3_struct_0(C)) & l1_orders_2(C))) | ![D: $i] : ((~m1_subset_1(D, k1_zfmisc_1(u1_struct_0(A)))) | ![E: $i] : ((~(v1_funct_1(E) & v1_funct_2(E, u1_struct_0(A), u1_struct_0(B)) & m2_relset_1(E, u1_struct_0(A), u1_struct_0(B)))) | ![F: $i] : (r4_waybel_0(A, C, k7_funct_2(u1_struct_0(A), u1_struct_0(B), u1_struct_0(C), E, F), D) | (~(r4_waybel_0(A, B, E, D) & r4_waybel_0(B, C, F, k4_pre_topc(A, B, E, D)))) | (~(v1_funct_1(F) & v1_funct_2(F, u1_struct_0(B), u1_struct_0(C)) & m2_relset_1(F, u1_struct_0(B), u1_struct_0(C)))))))))) <=> (v3_struct_0(A) | (~l1_orders_2(A)) | ![B: $i] : (v3_struct_0(B) | (~l1_orders_2(B)) | ![C: $i] : (v3_struct_0(C) | (~l1_orders_2(C)) | ![D: $i] : ((~m1_subset_1(D, k1_zfmisc_1(u1_struct_0(A)))) | ![E: $i] : ((~v1_funct_1(E)) | (~v1_funct_2(E, u1_struct_0(A), u1_struct_0(B))) | (~m2_relset_1(E, u1_struct_0(A), u1_struct_0(B))) | ![F: $i] : (r4_waybel_0(A, C, k7_funct_2(u1_struct_0(A), u1_struct_0(B), u1_struct_0(C), E, F), D) | (~v1_funct_1(F)) | (~v1_funct_2(F, u1_struct_0(B), u1_struct_0(C))) | (~m2_relset_1(F, u1_struct_0(B), u1_struct_0(C))) | (~r4_waybel_0(A, B, E, D)) | (~r4_waybel_0(B, C, F, k4_pre_topc(A, B, E, D)))))))))))),
% 0.50/0.66 inference(bind,[status(th)],[])).
% 0.50/0.66 tff(256,plain,
% 0.50/0.66 (![A: $i] : ((~((~v3_struct_0(A)) & l1_orders_2(A))) | ![B: $i] : ((~((~v3_struct_0(B)) & l1_orders_2(B))) | ![C: $i] : ((~((~v3_struct_0(C)) & l1_orders_2(C))) | ![D: $i] : ((~m1_subset_1(D, k1_zfmisc_1(u1_struct_0(A)))) | ![E: $i] : ((~(v1_funct_1(E) & v1_funct_2(E, u1_struct_0(A), u1_struct_0(B)) & m2_relset_1(E, u1_struct_0(A), u1_struct_0(B)))) | ![F: $i] : (r4_waybel_0(A, C, k7_funct_2(u1_struct_0(A), u1_struct_0(B), u1_struct_0(C), E, F), D) | (~(r4_waybel_0(A, B, E, D) & r4_waybel_0(B, C, F, k4_pre_topc(A, B, E, D)))) | (~(v1_funct_1(F) & v1_funct_2(F, u1_struct_0(B), u1_struct_0(C)) & m2_relset_1(F, u1_struct_0(B), u1_struct_0(C)))))))))) <=> ![A: $i] : (v3_struct_0(A) | (~l1_orders_2(A)) | ![B: $i] : (v3_struct_0(B) | (~l1_orders_2(B)) | ![C: $i] : (v3_struct_0(C) | (~l1_orders_2(C)) | ![D: $i] : ((~m1_subset_1(D, k1_zfmisc_1(u1_struct_0(A)))) | ![E: $i] : ((~v1_funct_1(E)) | (~v1_funct_2(E, u1_struct_0(A), u1_struct_0(B))) | (~m2_relset_1(E, u1_struct_0(A), u1_struct_0(B))) | ![F: $i] : (r4_waybel_0(A, C, k7_funct_2(u1_struct_0(A), u1_struct_0(B), u1_struct_0(C), E, F), D) | (~v1_funct_1(F)) | (~v1_funct_2(F, u1_struct_0(B), u1_struct_0(C))) | (~m2_relset_1(F, u1_struct_0(B), u1_struct_0(C))) | (~r4_waybel_0(A, B, E, D)) | (~r4_waybel_0(B, C, F, k4_pre_topc(A, B, E, D)))))))))),
% 0.50/0.66 inference(quant_intro,[status(thm)],[255])).
% 0.50/0.66 tff(257,plain,
% 0.50/0.66 (![A: $i] : ((~((~v3_struct_0(A)) & l1_orders_2(A))) | ![B: $i] : ((~((~v3_struct_0(B)) & l1_orders_2(B))) | ![C: $i] : ((~((~v3_struct_0(C)) & l1_orders_2(C))) | ![D: $i] : ((~m1_subset_1(D, k1_zfmisc_1(u1_struct_0(A)))) | ![E: $i] : ((~(v1_funct_1(E) & v1_funct_2(E, u1_struct_0(A), u1_struct_0(B)) & m2_relset_1(E, u1_struct_0(A), u1_struct_0(B)))) | ![F: $i] : (r4_waybel_0(A, C, k7_funct_2(u1_struct_0(A), u1_struct_0(B), u1_struct_0(C), E, F), D) | (~(r4_waybel_0(A, B, E, D) & r4_waybel_0(B, C, F, k4_pre_topc(A, B, E, D)))) | (~(v1_funct_1(F) & v1_funct_2(F, u1_struct_0(B), u1_struct_0(C)) & m2_relset_1(F, u1_struct_0(B), u1_struct_0(C)))))))))) <=> ![A: $i] : ((~((~v3_struct_0(A)) & l1_orders_2(A))) | ![B: $i] : ((~((~v3_struct_0(B)) & l1_orders_2(B))) | ![C: $i] : ((~((~v3_struct_0(C)) & l1_orders_2(C))) | ![D: $i] : ((~m1_subset_1(D, k1_zfmisc_1(u1_struct_0(A)))) | ![E: $i] : ((~(v1_funct_1(E) & v1_funct_2(E, u1_struct_0(A), u1_struct_0(B)) & m2_relset_1(E, u1_struct_0(A), u1_struct_0(B)))) | ![F: $i] : (r4_waybel_0(A, C, k7_funct_2(u1_struct_0(A), u1_struct_0(B), u1_struct_0(C), E, F), D) | (~(r4_waybel_0(A, B, E, D) & r4_waybel_0(B, C, F, k4_pre_topc(A, B, E, D)))) | (~(v1_funct_1(F) & v1_funct_2(F, u1_struct_0(B), u1_struct_0(C)) & m2_relset_1(F, u1_struct_0(B), u1_struct_0(C))))))))))),
% 0.50/0.66 inference(rewrite,[status(thm)],[])).
% 0.50/0.66 tff(258,plain,
% 0.50/0.66 (^[A: $i] : trans(monotonicity(quant_intro(proof_bind(^[B: $i] : trans(monotonicity(quant_intro(proof_bind(^[C: $i] : trans(monotonicity(quant_intro(proof_bind(^[D: $i] : trans(monotonicity(quant_intro(proof_bind(^[E: $i] : trans(monotonicity(rewrite(((v1_funct_1(E) & v1_funct_2(E, u1_struct_0(A), u1_struct_0(B))) & m2_relset_1(E, u1_struct_0(A), u1_struct_0(B))) <=> (v1_funct_1(E) & v1_funct_2(E, u1_struct_0(A), u1_struct_0(B)) & m2_relset_1(E, u1_struct_0(A), u1_struct_0(B)))), quant_intro(proof_bind(^[F: $i] : trans(monotonicity(rewrite(((v1_funct_1(F) & v1_funct_2(F, u1_struct_0(B), u1_struct_0(C))) & m2_relset_1(F, u1_struct_0(B), u1_struct_0(C))) <=> (v1_funct_1(F) & v1_funct_2(F, u1_struct_0(B), u1_struct_0(C)) & m2_relset_1(F, u1_struct_0(B), u1_struct_0(C)))), rewrite(((r4_waybel_0(A, B, E, D) & r4_waybel_0(B, C, F, k4_pre_topc(A, B, E, D))) => r4_waybel_0(A, C, k7_funct_2(u1_struct_0(A), u1_struct_0(B), u1_struct_0(C), E, F), D)) <=> ((~(r4_waybel_0(A, B, E, D) & r4_waybel_0(B, C, F, k4_pre_topc(A, B, E, D)))) | r4_waybel_0(A, C, k7_funct_2(u1_struct_0(A), u1_struct_0(B), u1_struct_0(C), E, F), D))), ((((v1_funct_1(F) & v1_funct_2(F, u1_struct_0(B), u1_struct_0(C))) & m2_relset_1(F, u1_struct_0(B), u1_struct_0(C))) => ((r4_waybel_0(A, B, E, D) & r4_waybel_0(B, C, F, k4_pre_topc(A, B, E, D))) => r4_waybel_0(A, C, k7_funct_2(u1_struct_0(A), u1_struct_0(B), u1_struct_0(C), E, F), D))) <=> ((v1_funct_1(F) & v1_funct_2(F, u1_struct_0(B), u1_struct_0(C)) & m2_relset_1(F, u1_struct_0(B), u1_struct_0(C))) => ((~(r4_waybel_0(A, B, E, D) & r4_waybel_0(B, C, F, k4_pre_topc(A, B, E, D)))) | r4_waybel_0(A, C, k7_funct_2(u1_struct_0(A), u1_struct_0(B), u1_struct_0(C), E, F), D))))), rewrite(((v1_funct_1(F) & v1_funct_2(F, u1_struct_0(B), u1_struct_0(C)) & m2_relset_1(F, u1_struct_0(B), u1_struct_0(C))) => ((~(r4_waybel_0(A, B, E, D) & r4_waybel_0(B, C, F, k4_pre_topc(A, B, E, D)))) | r4_waybel_0(A, C, k7_funct_2(u1_struct_0(A), u1_struct_0(B), u1_struct_0(C), E, F), D))) <=> (r4_waybel_0(A, C, k7_funct_2(u1_struct_0(A), u1_struct_0(B), u1_struct_0(C), E, F), D) | (~(r4_waybel_0(A, B, E, D) & r4_waybel_0(B, C, F, k4_pre_topc(A, B, E, D)))) | (~(v1_funct_1(F) & v1_funct_2(F, u1_struct_0(B), u1_struct_0(C)) & m2_relset_1(F, u1_struct_0(B), u1_struct_0(C)))))), ((((v1_funct_1(F) & v1_funct_2(F, u1_struct_0(B), u1_struct_0(C))) & m2_relset_1(F, u1_struct_0(B), u1_struct_0(C))) => ((r4_waybel_0(A, B, E, D) & r4_waybel_0(B, C, F, k4_pre_topc(A, B, E, D))) => r4_waybel_0(A, C, k7_funct_2(u1_struct_0(A), u1_struct_0(B), u1_struct_0(C), E, F), D))) <=> (r4_waybel_0(A, C, k7_funct_2(u1_struct_0(A), u1_struct_0(B), u1_struct_0(C), E, F), D) | (~(r4_waybel_0(A, B, E, D) & r4_waybel_0(B, C, F, k4_pre_topc(A, B, E, D)))) | (~(v1_funct_1(F) & v1_funct_2(F, u1_struct_0(B), u1_struct_0(C)) & m2_relset_1(F, u1_struct_0(B), u1_struct_0(C)))))))), (![F: $i] : (((v1_funct_1(F) & v1_funct_2(F, u1_struct_0(B), u1_struct_0(C))) & m2_relset_1(F, u1_struct_0(B), u1_struct_0(C))) => ((r4_waybel_0(A, B, E, D) & r4_waybel_0(B, C, F, k4_pre_topc(A, B, E, D))) => r4_waybel_0(A, C, k7_funct_2(u1_struct_0(A), u1_struct_0(B), u1_struct_0(C), E, F), D))) <=> ![F: $i] : (r4_waybel_0(A, C, k7_funct_2(u1_struct_0(A), u1_struct_0(B), u1_struct_0(C), E, F), D) | (~(r4_waybel_0(A, B, E, D) & r4_waybel_0(B, C, F, k4_pre_topc(A, B, E, D)))) | (~(v1_funct_1(F) & v1_funct_2(F, u1_struct_0(B), u1_struct_0(C)) & m2_relset_1(F, u1_struct_0(B), u1_struct_0(C))))))), ((((v1_funct_1(E) & v1_funct_2(E, u1_struct_0(A), u1_struct_0(B))) & m2_relset_1(E, u1_struct_0(A), u1_struct_0(B))) => ![F: $i] : (((v1_funct_1(F) & v1_funct_2(F, u1_struct_0(B), u1_struct_0(C))) & m2_relset_1(F, u1_struct_0(B), u1_struct_0(C))) => ((r4_waybel_0(A, B, E, D) & r4_waybel_0(B, C, F, k4_pre_topc(A, B, E, D))) => r4_waybel_0(A, C, k7_funct_2(u1_struct_0(A), u1_struct_0(B), u1_struct_0(C), E, F), D)))) <=> ((v1_funct_1(E) & v1_funct_2(E, u1_struct_0(A), u1_struct_0(B)) & m2_relset_1(E, u1_struct_0(A), u1_struct_0(B))) => ![F: $i] : (r4_waybel_0(A, C, k7_funct_2(u1_struct_0(A), u1_struct_0(B), u1_struct_0(C), E, F), D) | (~(r4_waybel_0(A, B, E, D) & r4_waybel_0(B, C, F, k4_pre_topc(A, B, E, D)))) | (~(v1_funct_1(F) & v1_funct_2(F, u1_struct_0(B), u1_struct_0(C)) & m2_relset_1(F, u1_struct_0(B), u1_struct_0(C)))))))), rewrite(((v1_funct_1(E) & v1_funct_2(E, u1_struct_0(A), u1_struct_0(B)) & m2_relset_1(E, u1_struct_0(A), u1_struct_0(B))) => ![F: $i] : (r4_waybel_0(A, C, k7_funct_2(u1_struct_0(A), u1_struct_0(B), u1_struct_0(C), E, F), D) | (~(r4_waybel_0(A, B, E, D) & r4_waybel_0(B, C, F, k4_pre_topc(A, B, E, D)))) | (~(v1_funct_1(F) & v1_funct_2(F, u1_struct_0(B), u1_struct_0(C)) & m2_relset_1(F, u1_struct_0(B), u1_struct_0(C)))))) <=> ((~(v1_funct_1(E) & v1_funct_2(E, u1_struct_0(A), u1_struct_0(B)) & m2_relset_1(E, u1_struct_0(A), u1_struct_0(B)))) | ![F: $i] : (r4_waybel_0(A, C, k7_funct_2(u1_struct_0(A), u1_struct_0(B), u1_struct_0(C), E, F), D) | (~(r4_waybel_0(A, B, E, D) & r4_waybel_0(B, C, F, k4_pre_topc(A, B, E, D)))) | (~(v1_funct_1(F) & v1_funct_2(F, u1_struct_0(B), u1_struct_0(C)) & m2_relset_1(F, u1_struct_0(B), u1_struct_0(C))))))), ((((v1_funct_1(E) & v1_funct_2(E, u1_struct_0(A), u1_struct_0(B))) & m2_relset_1(E, u1_struct_0(A), u1_struct_0(B))) => ![F: $i] : (((v1_funct_1(F) & v1_funct_2(F, u1_struct_0(B), u1_struct_0(C))) & m2_relset_1(F, u1_struct_0(B), u1_struct_0(C))) => ((r4_waybel_0(A, B, E, D) & r4_waybel_0(B, C, F, k4_pre_topc(A, B, E, D))) => r4_waybel_0(A, C, k7_funct_2(u1_struct_0(A), u1_struct_0(B), u1_struct_0(C), E, F), D)))) <=> ((~(v1_funct_1(E) & v1_funct_2(E, u1_struct_0(A), u1_struct_0(B)) & m2_relset_1(E, u1_struct_0(A), u1_struct_0(B)))) | ![F: $i] : (r4_waybel_0(A, C, k7_funct_2(u1_struct_0(A), u1_struct_0(B), u1_struct_0(C), E, F), D) | (~(r4_waybel_0(A, B, E, D) & r4_waybel_0(B, C, F, k4_pre_topc(A, B, E, D)))) | (~(v1_funct_1(F) & v1_funct_2(F, u1_struct_0(B), u1_struct_0(C)) & m2_relset_1(F, u1_struct_0(B), u1_struct_0(C))))))))), (![E: $i] : (((v1_funct_1(E) & v1_funct_2(E, u1_struct_0(A), u1_struct_0(B))) & m2_relset_1(E, u1_struct_0(A), u1_struct_0(B))) => ![F: $i] : (((v1_funct_1(F) & v1_funct_2(F, u1_struct_0(B), u1_struct_0(C))) & m2_relset_1(F, u1_struct_0(B), u1_struct_0(C))) => ((r4_waybel_0(A, B, E, D) & r4_waybel_0(B, C, F, k4_pre_topc(A, B, E, D))) => r4_waybel_0(A, C, k7_funct_2(u1_struct_0(A), u1_struct_0(B), u1_struct_0(C), E, F), D)))) <=> ![E: $i] : ((~(v1_funct_1(E) & v1_funct_2(E, u1_struct_0(A), u1_struct_0(B)) & m2_relset_1(E, u1_struct_0(A), u1_struct_0(B)))) | ![F: $i] : (r4_waybel_0(A, C, k7_funct_2(u1_struct_0(A), u1_struct_0(B), u1_struct_0(C), E, F), D) | (~(r4_waybel_0(A, B, E, D) & r4_waybel_0(B, C, F, k4_pre_topc(A, B, E, D)))) | (~(v1_funct_1(F) & v1_funct_2(F, u1_struct_0(B), u1_struct_0(C)) & m2_relset_1(F, u1_struct_0(B), u1_struct_0(C)))))))), ((m1_subset_1(D, k1_zfmisc_1(u1_struct_0(A))) => ![E: $i] : (((v1_funct_1(E) & v1_funct_2(E, u1_struct_0(A), u1_struct_0(B))) & m2_relset_1(E, u1_struct_0(A), u1_struct_0(B))) => ![F: $i] : (((v1_funct_1(F) & v1_funct_2(F, u1_struct_0(B), u1_struct_0(C))) & m2_relset_1(F, u1_struct_0(B), u1_struct_0(C))) => ((r4_waybel_0(A, B, E, D) & r4_waybel_0(B, C, F, k4_pre_topc(A, B, E, D))) => r4_waybel_0(A, C, k7_funct_2(u1_struct_0(A), u1_struct_0(B), u1_struct_0(C), E, F), D))))) <=> (m1_subset_1(D, k1_zfmisc_1(u1_struct_0(A))) => ![E: $i] : ((~(v1_funct_1(E) & v1_funct_2(E, u1_struct_0(A), u1_struct_0(B)) & m2_relset_1(E, u1_struct_0(A), u1_struct_0(B)))) | ![F: $i] : (r4_waybel_0(A, C, k7_funct_2(u1_struct_0(A), u1_struct_0(B), u1_struct_0(C), E, F), D) | (~(r4_waybel_0(A, B, E, D) & r4_waybel_0(B, C, F, k4_pre_topc(A, B, E, D)))) | (~(v1_funct_1(F) & v1_funct_2(F, u1_struct_0(B), u1_struct_0(C)) & m2_relset_1(F, u1_struct_0(B), u1_struct_0(C))))))))), rewrite((m1_subset_1(D, k1_zfmisc_1(u1_struct_0(A))) => ![E: $i] : ((~(v1_funct_1(E) & v1_funct_2(E, u1_struct_0(A), u1_struct_0(B)) & m2_relset_1(E, u1_struct_0(A), u1_struct_0(B)))) | ![F: $i] : (r4_waybel_0(A, C, k7_funct_2(u1_struct_0(A), u1_struct_0(B), u1_struct_0(C), E, F), D) | (~(r4_waybel_0(A, B, E, D) & r4_waybel_0(B, C, F, k4_pre_topc(A, B, E, D)))) | (~(v1_funct_1(F) & v1_funct_2(F, u1_struct_0(B), u1_struct_0(C)) & m2_relset_1(F, u1_struct_0(B), u1_struct_0(C))))))) <=> ((~m1_subset_1(D, k1_zfmisc_1(u1_struct_0(A)))) | ![E: $i] : ((~(v1_funct_1(E) & v1_funct_2(E, u1_struct_0(A), u1_struct_0(B)) & m2_relset_1(E, u1_struct_0(A), u1_struct_0(B)))) | ![F: $i] : (r4_waybel_0(A, C, k7_funct_2(u1_struct_0(A), u1_struct_0(B), u1_struct_0(C), E, F), D) | (~(r4_waybel_0(A, B, E, D) & r4_waybel_0(B, C, F, k4_pre_topc(A, B, E, D)))) | (~(v1_funct_1(F) & v1_funct_2(F, u1_struct_0(B), u1_struct_0(C)) & m2_relset_1(F, u1_struct_0(B), u1_struct_0(C)))))))), ((m1_subset_1(D, k1_zfmisc_1(u1_struct_0(A))) => ![E: $i] : (((v1_funct_1(E) & v1_funct_2(E, u1_struct_0(A), u1_struct_0(B))) & m2_relset_1(E, u1_struct_0(A), u1_struct_0(B))) => ![F: $i] : (((v1_funct_1(F) & v1_funct_2(F, u1_struct_0(B), u1_struct_0(C))) & m2_relset_1(F, u1_struct_0(B), u1_struct_0(C))) => ((r4_waybel_0(A, B, E, D) & r4_waybel_0(B, C, F, k4_pre_topc(A, B, E, D))) => r4_waybel_0(A, C, k7_funct_2(u1_struct_0(A), u1_struct_0(B), u1_struct_0(C), E, F), D))))) <=> ((~m1_subset_1(D, k1_zfmisc_1(u1_struct_0(A)))) | ![E: $i] : ((~(v1_funct_1(E) & v1_funct_2(E, u1_struct_0(A), u1_struct_0(B)) & m2_relset_1(E, u1_struct_0(A), u1_struct_0(B)))) | ![F: $i] : (r4_waybel_0(A, C, k7_funct_2(u1_struct_0(A), u1_struct_0(B), u1_struct_0(C), E, F), D) | (~(r4_waybel_0(A, B, E, D) & r4_waybel_0(B, C, F, k4_pre_topc(A, B, E, D)))) | (~(v1_funct_1(F) & v1_funct_2(F, u1_struct_0(B), u1_struct_0(C)) & m2_relset_1(F, u1_struct_0(B), u1_struct_0(C)))))))))), (![D: $i] : (m1_subset_1(D, k1_zfmisc_1(u1_struct_0(A))) => ![E: $i] : (((v1_funct_1(E) & v1_funct_2(E, u1_struct_0(A), u1_struct_0(B))) & m2_relset_1(E, u1_struct_0(A), u1_struct_0(B))) => ![F: $i] : (((v1_funct_1(F) & v1_funct_2(F, u1_struct_0(B), u1_struct_0(C))) & m2_relset_1(F, u1_struct_0(B), u1_struct_0(C))) => ((r4_waybel_0(A, B, E, D) & r4_waybel_0(B, C, F, k4_pre_topc(A, B, E, D))) => r4_waybel_0(A, C, k7_funct_2(u1_struct_0(A), u1_struct_0(B), u1_struct_0(C), E, F), D))))) <=> ![D: $i] : ((~m1_subset_1(D, k1_zfmisc_1(u1_struct_0(A)))) | ![E: $i] : ((~(v1_funct_1(E) & v1_funct_2(E, u1_struct_0(A), u1_struct_0(B)) & m2_relset_1(E, u1_struct_0(A), u1_struct_0(B)))) | ![F: $i] : (r4_waybel_0(A, C, k7_funct_2(u1_struct_0(A), u1_struct_0(B), u1_struct_0(C), E, F), D) | (~(r4_waybel_0(A, B, E, D) & r4_waybel_0(B, C, F, k4_pre_topc(A, B, E, D)))) | (~(v1_funct_1(F) & v1_funct_2(F, u1_struct_0(B), u1_struct_0(C)) & m2_relset_1(F, u1_struct_0(B), u1_struct_0(C))))))))), ((((~v3_struct_0(C)) & l1_orders_2(C)) => ![D: $i] : (m1_subset_1(D, k1_zfmisc_1(u1_struct_0(A))) => ![E: $i] : (((v1_funct_1(E) & v1_funct_2(E, u1_struct_0(A), u1_struct_0(B))) & m2_relset_1(E, u1_struct_0(A), u1_struct_0(B))) => ![F: $i] : (((v1_funct_1(F) & v1_funct_2(F, u1_struct_0(B), u1_struct_0(C))) & m2_relset_1(F, u1_struct_0(B), u1_struct_0(C))) => ((r4_waybel_0(A, B, E, D) & r4_waybel_0(B, C, F, k4_pre_topc(A, B, E, D))) => r4_waybel_0(A, C, k7_funct_2(u1_struct_0(A), u1_struct_0(B), u1_struct_0(C), E, F), D)))))) <=> (((~v3_struct_0(C)) & l1_orders_2(C)) => ![D: $i] : ((~m1_subset_1(D, k1_zfmisc_1(u1_struct_0(A)))) | ![E: $i] : ((~(v1_funct_1(E) & v1_funct_2(E, u1_struct_0(A), u1_struct_0(B)) & m2_relset_1(E, u1_struct_0(A), u1_struct_0(B)))) | ![F: $i] : (r4_waybel_0(A, C, k7_funct_2(u1_struct_0(A), u1_struct_0(B), u1_struct_0(C), E, F), D) | (~(r4_waybel_0(A, B, E, D) & r4_waybel_0(B, C, F, k4_pre_topc(A, B, E, D)))) | (~(v1_funct_1(F) & v1_funct_2(F, u1_struct_0(B), u1_struct_0(C)) & m2_relset_1(F, u1_struct_0(B), u1_struct_0(C)))))))))), rewrite((((~v3_struct_0(C)) & l1_orders_2(C)) => ![D: $i] : ((~m1_subset_1(D, k1_zfmisc_1(u1_struct_0(A)))) | ![E: $i] : ((~(v1_funct_1(E) & v1_funct_2(E, u1_struct_0(A), u1_struct_0(B)) & m2_relset_1(E, u1_struct_0(A), u1_struct_0(B)))) | ![F: $i] : (r4_waybel_0(A, C, k7_funct_2(u1_struct_0(A), u1_struct_0(B), u1_struct_0(C), E, F), D) | (~(r4_waybel_0(A, B, E, D) & r4_waybel_0(B, C, F, k4_pre_topc(A, B, E, D)))) | (~(v1_funct_1(F) & v1_funct_2(F, u1_struct_0(B), u1_struct_0(C)) & m2_relset_1(F, u1_struct_0(B), u1_struct_0(C)))))))) <=> ((~((~v3_struct_0(C)) & l1_orders_2(C))) | ![D: $i] : ((~m1_subset_1(D, k1_zfmisc_1(u1_struct_0(A)))) | ![E: $i] : ((~(v1_funct_1(E) & v1_funct_2(E, u1_struct_0(A), u1_struct_0(B)) & m2_relset_1(E, u1_struct_0(A), u1_struct_0(B)))) | ![F: $i] : (r4_waybel_0(A, C, k7_funct_2(u1_struct_0(A), u1_struct_0(B), u1_struct_0(C), E, F), D) | (~(r4_waybel_0(A, B, E, D) & r4_waybel_0(B, C, F, k4_pre_topc(A, B, E, D)))) | (~(v1_funct_1(F) & v1_funct_2(F, u1_struct_0(B), u1_struct_0(C)) & m2_relset_1(F, u1_struct_0(B), u1_struct_0(C))))))))), ((((~v3_struct_0(C)) & l1_orders_2(C)) => ![D: $i] : (m1_subset_1(D, k1_zfmisc_1(u1_struct_0(A))) => ![E: $i] : (((v1_funct_1(E) & v1_funct_2(E, u1_struct_0(A), u1_struct_0(B))) & m2_relset_1(E, u1_struct_0(A), u1_struct_0(B))) => ![F: $i] : (((v1_funct_1(F) & v1_funct_2(F, u1_struct_0(B), u1_struct_0(C))) & m2_relset_1(F, u1_struct_0(B), u1_struct_0(C))) => ((r4_waybel_0(A, B, E, D) & r4_waybel_0(B, C, F, k4_pre_topc(A, B, E, D))) => r4_waybel_0(A, C, k7_funct_2(u1_struct_0(A), u1_struct_0(B), u1_struct_0(C), E, F), D)))))) <=> ((~((~v3_struct_0(C)) & l1_orders_2(C))) | ![D: $i] : ((~m1_subset_1(D, k1_zfmisc_1(u1_struct_0(A)))) | ![E: $i] : ((~(v1_funct_1(E) & v1_funct_2(E, u1_struct_0(A), u1_struct_0(B)) & m2_relset_1(E, u1_struct_0(A), u1_struct_0(B)))) | ![F: $i] : (r4_waybel_0(A, C, k7_funct_2(u1_struct_0(A), u1_struct_0(B), u1_struct_0(C), E, F), D) | (~(r4_waybel_0(A, B, E, D) & r4_waybel_0(B, C, F, k4_pre_topc(A, B, E, D)))) | (~(v1_funct_1(F) & v1_funct_2(F, u1_struct_0(B), u1_struct_0(C)) & m2_relset_1(F, u1_struct_0(B), u1_struct_0(C))))))))))), (![C: $i] : (((~v3_struct_0(C)) & l1_orders_2(C)) => ![D: $i] : (m1_subset_1(D, k1_zfmisc_1(u1_struct_0(A))) => ![E: $i] : (((v1_funct_1(E) & v1_funct_2(E, u1_struct_0(A), u1_struct_0(B))) & m2_relset_1(E, u1_struct_0(A), u1_struct_0(B))) => ![F: $i] : (((v1_funct_1(F) & v1_funct_2(F, u1_struct_0(B), u1_struct_0(C))) & m2_relset_1(F, u1_struct_0(B), u1_struct_0(C))) => ((r4_waybel_0(A, B, E, D) & r4_waybel_0(B, C, F, k4_pre_topc(A, B, E, D))) => r4_waybel_0(A, C, k7_funct_2(u1_struct_0(A), u1_struct_0(B), u1_struct_0(C), E, F), D)))))) <=> ![C: $i] : ((~((~v3_struct_0(C)) & l1_orders_2(C))) | ![D: $i] : ((~m1_subset_1(D, k1_zfmisc_1(u1_struct_0(A)))) | ![E: $i] : ((~(v1_funct_1(E) & v1_funct_2(E, u1_struct_0(A), u1_struct_0(B)) & m2_relset_1(E, u1_struct_0(A), u1_struct_0(B)))) | ![F: $i] : (r4_waybel_0(A, C, k7_funct_2(u1_struct_0(A), u1_struct_0(B), u1_struct_0(C), E, F), D) | (~(r4_waybel_0(A, B, E, D) & r4_waybel_0(B, C, F, k4_pre_topc(A, B, E, D)))) | (~(v1_funct_1(F) & v1_funct_2(F, u1_struct_0(B), u1_struct_0(C)) & m2_relset_1(F, u1_struct_0(B), u1_struct_0(C)))))))))), ((((~v3_struct_0(B)) & l1_orders_2(B)) => ![C: $i] : (((~v3_struct_0(C)) & l1_orders_2(C)) => ![D: $i] : (m1_subset_1(D, k1_zfmisc_1(u1_struct_0(A))) => ![E: $i] : (((v1_funct_1(E) & v1_funct_2(E, u1_struct_0(A), u1_struct_0(B))) & m2_relset_1(E, u1_struct_0(A), u1_struct_0(B))) => ![F: $i] : (((v1_funct_1(F) & v1_funct_2(F, u1_struct_0(B), u1_struct_0(C))) & m2_relset_1(F, u1_struct_0(B), u1_struct_0(C))) => ((r4_waybel_0(A, B, E, D) & r4_waybel_0(B, C, F, k4_pre_topc(A, B, E, D))) => r4_waybel_0(A, C, k7_funct_2(u1_struct_0(A), u1_struct_0(B), u1_struct_0(C), E, F), D))))))) <=> (((~v3_struct_0(B)) & l1_orders_2(B)) => ![C: $i] : ((~((~v3_struct_0(C)) & l1_orders_2(C))) | ![D: $i] : ((~m1_subset_1(D, k1_zfmisc_1(u1_struct_0(A)))) | ![E: $i] : ((~(v1_funct_1(E) & v1_funct_2(E, u1_struct_0(A), u1_struct_0(B)) & m2_relset_1(E, u1_struct_0(A), u1_struct_0(B)))) | ![F: $i] : (r4_waybel_0(A, C, k7_funct_2(u1_struct_0(A), u1_struct_0(B), u1_struct_0(C), E, F), D) | (~(r4_waybel_0(A, B, E, D) & r4_waybel_0(B, C, F, k4_pre_topc(A, B, E, D)))) | (~(v1_funct_1(F) & v1_funct_2(F, u1_struct_0(B), u1_struct_0(C)) & m2_relset_1(F, u1_struct_0(B), u1_struct_0(C))))))))))), rewrite((((~v3_struct_0(B)) & l1_orders_2(B)) => ![C: $i] : ((~((~v3_struct_0(C)) & l1_orders_2(C))) | ![D: $i] : ((~m1_subset_1(D, k1_zfmisc_1(u1_struct_0(A)))) | ![E: $i] : ((~(v1_funct_1(E) & v1_funct_2(E, u1_struct_0(A), u1_struct_0(B)) & m2_relset_1(E, u1_struct_0(A), u1_struct_0(B)))) | ![F: $i] : (r4_waybel_0(A, C, k7_funct_2(u1_struct_0(A), u1_struct_0(B), u1_struct_0(C), E, F), D) | (~(r4_waybel_0(A, B, E, D) & r4_waybel_0(B, C, F, k4_pre_topc(A, B, E, D)))) | (~(v1_funct_1(F) & v1_funct_2(F, u1_struct_0(B), u1_struct_0(C)) & m2_relset_1(F, u1_struct_0(B), u1_struct_0(C))))))))) <=> ((~((~v3_struct_0(B)) & l1_orders_2(B))) | ![C: $i] : ((~((~v3_struct_0(C)) & l1_orders_2(C))) | ![D: $i] : ((~m1_subset_1(D, k1_zfmisc_1(u1_struct_0(A)))) | ![E: $i] : ((~(v1_funct_1(E) & v1_funct_2(E, u1_struct_0(A), u1_struct_0(B)) & m2_relset_1(E, u1_struct_0(A), u1_struct_0(B)))) | ![F: $i] : (r4_waybel_0(A, C, k7_funct_2(u1_struct_0(A), u1_struct_0(B), u1_struct_0(C), E, F), D) | (~(r4_waybel_0(A, B, E, D) & r4_waybel_0(B, C, F, k4_pre_topc(A, B, E, D)))) | (~(v1_funct_1(F) & v1_funct_2(F, u1_struct_0(B), u1_struct_0(C)) & m2_relset_1(F, u1_struct_0(B), u1_struct_0(C)))))))))), ((((~v3_struct_0(B)) & l1_orders_2(B)) => ![C: $i] : (((~v3_struct_0(C)) & l1_orders_2(C)) => ![D: $i] : (m1_subset_1(D, k1_zfmisc_1(u1_struct_0(A))) => ![E: $i] : (((v1_funct_1(E) & v1_funct_2(E, u1_struct_0(A), u1_struct_0(B))) & m2_relset_1(E, u1_struct_0(A), u1_struct_0(B))) => ![F: $i] : (((v1_funct_1(F) & v1_funct_2(F, u1_struct_0(B), u1_struct_0(C))) & m2_relset_1(F, u1_struct_0(B), u1_struct_0(C))) => ((r4_waybel_0(A, B, E, D) & r4_waybel_0(B, C, F, k4_pre_topc(A, B, E, D))) => r4_waybel_0(A, C, k7_funct_2(u1_struct_0(A), u1_struct_0(B), u1_struct_0(C), E, F), D))))))) <=> ((~((~v3_struct_0(B)) & l1_orders_2(B))) | ![C: $i] : ((~((~v3_struct_0(C)) & l1_orders_2(C))) | ![D: $i] : ((~m1_subset_1(D, k1_zfmisc_1(u1_struct_0(A)))) | ![E: $i] : ((~(v1_funct_1(E) & v1_funct_2(E, u1_struct_0(A), u1_struct_0(B)) & m2_relset_1(E, u1_struct_0(A), u1_struct_0(B)))) | ![F: $i] : (r4_waybel_0(A, C, k7_funct_2(u1_struct_0(A), u1_struct_0(B), u1_struct_0(C), E, F), D) | (~(r4_waybel_0(A, B, E, D) & r4_waybel_0(B, C, F, k4_pre_topc(A, B, E, D)))) | (~(v1_funct_1(F) & v1_funct_2(F, u1_struct_0(B), u1_struct_0(C)) & m2_relset_1(F, u1_struct_0(B), u1_struct_0(C)))))))))))), (![B: $i] : (((~v3_struct_0(B)) & l1_orders_2(B)) => ![C: $i] : (((~v3_struct_0(C)) & l1_orders_2(C)) => ![D: $i] : (m1_subset_1(D, k1_zfmisc_1(u1_struct_0(A))) => ![E: $i] : (((v1_funct_1(E) & v1_funct_2(E, u1_struct_0(A), u1_struct_0(B))) & m2_relset_1(E, u1_struct_0(A), u1_struct_0(B))) => ![F: $i] : (((v1_funct_1(F) & v1_funct_2(F, u1_struct_0(B), u1_struct_0(C))) & m2_relset_1(F, u1_struct_0(B), u1_struct_0(C))) => ((r4_waybel_0(A, B, E, D) & r4_waybel_0(B, C, F, k4_pre_topc(A, B, E, D))) => r4_waybel_0(A, C, k7_funct_2(u1_struct_0(A), u1_struct_0(B), u1_struct_0(C), E, F), D))))))) <=> ![B: $i] : ((~((~v3_struct_0(B)) & l1_orders_2(B))) | ![C: $i] : ((~((~v3_struct_0(C)) & l1_orders_2(C))) | ![D: $i] : ((~m1_subset_1(D, k1_zfmisc_1(u1_struct_0(A)))) | ![E: $i] : ((~(v1_funct_1(E) & v1_funct_2(E, u1_struct_0(A), u1_struct_0(B)) & m2_relset_1(E, u1_struct_0(A), u1_struct_0(B)))) | ![F: $i] : (r4_waybel_0(A, C, k7_funct_2(u1_struct_0(A), u1_struct_0(B), u1_struct_0(C), E, F), D) | (~(r4_waybel_0(A, B, E, D) & r4_waybel_0(B, C, F, k4_pre_topc(A, B, E, D)))) | (~(v1_funct_1(F) & v1_funct_2(F, u1_struct_0(B), u1_struct_0(C)) & m2_relset_1(F, u1_struct_0(B), u1_struct_0(C))))))))))), ((((~v3_struct_0(A)) & l1_orders_2(A)) => ![B: $i] : (((~v3_struct_0(B)) & l1_orders_2(B)) => ![C: $i] : (((~v3_struct_0(C)) & l1_orders_2(C)) => ![D: $i] : (m1_subset_1(D, k1_zfmisc_1(u1_struct_0(A))) => ![E: $i] : (((v1_funct_1(E) & v1_funct_2(E, u1_struct_0(A), u1_struct_0(B))) & m2_relset_1(E, u1_struct_0(A), u1_struct_0(B))) => ![F: $i] : (((v1_funct_1(F) & v1_funct_2(F, u1_struct_0(B), u1_struct_0(C))) & m2_relset_1(F, u1_struct_0(B), u1_struct_0(C))) => ((r4_waybel_0(A, B, E, D) & r4_waybel_0(B, C, F, k4_pre_topc(A, B, E, D))) => r4_waybel_0(A, C, k7_funct_2(u1_struct_0(A), u1_struct_0(B), u1_struct_0(C), E, F), D)))))))) <=> (((~v3_struct_0(A)) & l1_orders_2(A)) => ![B: $i] : ((~((~v3_struct_0(B)) & l1_orders_2(B))) | ![C: $i] : ((~((~v3_struct_0(C)) & l1_orders_2(C))) | ![D: $i] : ((~m1_subset_1(D, k1_zfmisc_1(u1_struct_0(A)))) | ![E: $i] : ((~(v1_funct_1(E) & v1_funct_2(E, u1_struct_0(A), u1_struct_0(B)) & m2_relset_1(E, u1_struct_0(A), u1_struct_0(B)))) | ![F: $i] : (r4_waybel_0(A, C, k7_funct_2(u1_struct_0(A), u1_struct_0(B), u1_struct_0(C), E, F), D) | (~(r4_waybel_0(A, B, E, D) & r4_waybel_0(B, C, F, k4_pre_topc(A, B, E, D)))) | (~(v1_funct_1(F) & v1_funct_2(F, u1_struct_0(B), u1_struct_0(C)) & m2_relset_1(F, u1_struct_0(B), u1_struct_0(C)))))))))))), rewrite((((~v3_struct_0(A)) & l1_orders_2(A)) => ![B: $i] : ((~((~v3_struct_0(B)) & l1_orders_2(B))) | ![C: $i] : ((~((~v3_struct_0(C)) & l1_orders_2(C))) | ![D: $i] : ((~m1_subset_1(D, k1_zfmisc_1(u1_struct_0(A)))) | ![E: $i] : ((~(v1_funct_1(E) & v1_funct_2(E, u1_struct_0(A), u1_struct_0(B)) & m2_relset_1(E, u1_struct_0(A), u1_struct_0(B)))) | ![F: $i] : (r4_waybel_0(A, C, k7_funct_2(u1_struct_0(A), u1_struct_0(B), u1_struct_0(C), E, F), D) | (~(r4_waybel_0(A, B, E, D) & r4_waybel_0(B, C, F, k4_pre_topc(A, B, E, D)))) | (~(v1_funct_1(F) & v1_funct_2(F, u1_struct_0(B), u1_struct_0(C)) & m2_relset_1(F, u1_struct_0(B), u1_struct_0(C)))))))))) <=> ((~((~v3_struct_0(A)) & l1_orders_2(A))) | ![B: $i] : ((~((~v3_struct_0(B)) & l1_orders_2(B))) | ![C: $i] : ((~((~v3_struct_0(C)) & l1_orders_2(C))) | ![D: $i] : ((~m1_subset_1(D, k1_zfmisc_1(u1_struct_0(A)))) | ![E: $i] : ((~(v1_funct_1(E) & v1_funct_2(E, u1_struct_0(A), u1_struct_0(B)) & m2_relset_1(E, u1_struct_0(A), u1_struct_0(B)))) | ![F: $i] : (r4_waybel_0(A, C, k7_funct_2(u1_struct_0(A), u1_struct_0(B), u1_struct_0(C), E, F), D) | (~(r4_waybel_0(A, B, E, D) & r4_waybel_0(B, C, F, k4_pre_topc(A, B, E, D)))) | (~(v1_funct_1(F) & v1_funct_2(F, u1_struct_0(B), u1_struct_0(C)) & m2_relset_1(F, u1_struct_0(B), u1_struct_0(C))))))))))), ((((~v3_struct_0(A)) & l1_orders_2(A)) => ![B: $i] : (((~v3_struct_0(B)) & l1_orders_2(B)) => ![C: $i] : (((~v3_struct_0(C)) & l1_orders_2(C)) => ![D: $i] : (m1_subset_1(D, k1_zfmisc_1(u1_struct_0(A))) => ![E: $i] : (((v1_funct_1(E) & v1_funct_2(E, u1_struct_0(A), u1_struct_0(B))) & m2_relset_1(E, u1_struct_0(A), u1_struct_0(B))) => ![F: $i] : (((v1_funct_1(F) & v1_funct_2(F, u1_struct_0(B), u1_struct_0(C))) & m2_relset_1(F, u1_struct_0(B), u1_struct_0(C))) => ((r4_waybel_0(A, B, E, D) & r4_waybel_0(B, C, F, k4_pre_topc(A, B, E, D))) => r4_waybel_0(A, C, k7_funct_2(u1_struct_0(A), u1_struct_0(B), u1_struct_0(C), E, F), D)))))))) <=> ((~((~v3_struct_0(A)) & l1_orders_2(A))) | ![B: $i] : ((~((~v3_struct_0(B)) & l1_orders_2(B))) | ![C: $i] : ((~((~v3_struct_0(C)) & l1_orders_2(C))) | ![D: $i] : ((~m1_subset_1(D, k1_zfmisc_1(u1_struct_0(A)))) | ![E: $i] : ((~(v1_funct_1(E) & v1_funct_2(E, u1_struct_0(A), u1_struct_0(B)) & m2_relset_1(E, u1_struct_0(A), u1_struct_0(B)))) | ![F: $i] : (r4_waybel_0(A, C, k7_funct_2(u1_struct_0(A), u1_struct_0(B), u1_struct_0(C), E, F), D) | (~(r4_waybel_0(A, B, E, D) & r4_waybel_0(B, C, F, k4_pre_topc(A, B, E, D)))) | (~(v1_funct_1(F) & v1_funct_2(F, u1_struct_0(B), u1_struct_0(C)) & m2_relset_1(F, u1_struct_0(B), u1_struct_0(C))))))))))))),
% 0.50/0.67 inference(bind,[status(th)],[])).
% 0.50/0.67 tff(259,plain,
% 0.50/0.67 (![A: $i] : (((~v3_struct_0(A)) & l1_orders_2(A)) => ![B: $i] : (((~v3_struct_0(B)) & l1_orders_2(B)) => ![C: $i] : (((~v3_struct_0(C)) & l1_orders_2(C)) => ![D: $i] : (m1_subset_1(D, k1_zfmisc_1(u1_struct_0(A))) => ![E: $i] : (((v1_funct_1(E) & v1_funct_2(E, u1_struct_0(A), u1_struct_0(B))) & m2_relset_1(E, u1_struct_0(A), u1_struct_0(B))) => ![F: $i] : (((v1_funct_1(F) & v1_funct_2(F, u1_struct_0(B), u1_struct_0(C))) & m2_relset_1(F, u1_struct_0(B), u1_struct_0(C))) => ((r4_waybel_0(A, B, E, D) & r4_waybel_0(B, C, F, k4_pre_topc(A, B, E, D))) => r4_waybel_0(A, C, k7_funct_2(u1_struct_0(A), u1_struct_0(B), u1_struct_0(C), E, F), D)))))))) <=> ![A: $i] : ((~((~v3_struct_0(A)) & l1_orders_2(A))) | ![B: $i] : ((~((~v3_struct_0(B)) & l1_orders_2(B))) | ![C: $i] : ((~((~v3_struct_0(C)) & l1_orders_2(C))) | ![D: $i] : ((~m1_subset_1(D, k1_zfmisc_1(u1_struct_0(A)))) | ![E: $i] : ((~(v1_funct_1(E) & v1_funct_2(E, u1_struct_0(A), u1_struct_0(B)) & m2_relset_1(E, u1_struct_0(A), u1_struct_0(B)))) | ![F: $i] : (r4_waybel_0(A, C, k7_funct_2(u1_struct_0(A), u1_struct_0(B), u1_struct_0(C), E, F), D) | (~(r4_waybel_0(A, B, E, D) & r4_waybel_0(B, C, F, k4_pre_topc(A, B, E, D)))) | (~(v1_funct_1(F) & v1_funct_2(F, u1_struct_0(B), u1_struct_0(C)) & m2_relset_1(F, u1_struct_0(B), u1_struct_0(C))))))))))),
% 0.50/0.67 inference(quant_intro,[status(thm)],[258])).
% 0.50/0.67 tff(260,axiom,(![A: $i] : (((~v3_struct_0(A)) & l1_orders_2(A)) => ![B: $i] : (((~v3_struct_0(B)) & l1_orders_2(B)) => ![C: $i] : (((~v3_struct_0(C)) & l1_orders_2(C)) => ![D: $i] : (m1_subset_1(D, k1_zfmisc_1(u1_struct_0(A))) => ![E: $i] : (((v1_funct_1(E) & v1_funct_2(E, u1_struct_0(A), u1_struct_0(B))) & m2_relset_1(E, u1_struct_0(A), u1_struct_0(B))) => ![F: $i] : (((v1_funct_1(F) & v1_funct_2(F, u1_struct_0(B), u1_struct_0(C))) & m2_relset_1(F, u1_struct_0(B), u1_struct_0(C))) => ((r4_waybel_0(A, B, E, D) & r4_waybel_0(B, C, F, k4_pre_topc(A, B, E, D))) => r4_waybel_0(A, C, k7_funct_2(u1_struct_0(A), u1_struct_0(B), u1_struct_0(C), E, F), D))))))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','t62_waybel34')).
% 0.50/0.67 tff(261,plain,
% 0.50/0.67 (![A: $i] : ((~((~v3_struct_0(A)) & l1_orders_2(A))) | ![B: $i] : ((~((~v3_struct_0(B)) & l1_orders_2(B))) | ![C: $i] : ((~((~v3_struct_0(C)) & l1_orders_2(C))) | ![D: $i] : ((~m1_subset_1(D, k1_zfmisc_1(u1_struct_0(A)))) | ![E: $i] : ((~(v1_funct_1(E) & v1_funct_2(E, u1_struct_0(A), u1_struct_0(B)) & m2_relset_1(E, u1_struct_0(A), u1_struct_0(B)))) | ![F: $i] : (r4_waybel_0(A, C, k7_funct_2(u1_struct_0(A), u1_struct_0(B), u1_struct_0(C), E, F), D) | (~(r4_waybel_0(A, B, E, D) & r4_waybel_0(B, C, F, k4_pre_topc(A, B, E, D)))) | (~(v1_funct_1(F) & v1_funct_2(F, u1_struct_0(B), u1_struct_0(C)) & m2_relset_1(F, u1_struct_0(B), u1_struct_0(C))))))))))),
% 0.50/0.67 inference(modus_ponens,[status(thm)],[260, 259])).
% 0.50/0.67 tff(262,plain,
% 0.50/0.67 (![A: $i] : ((~((~v3_struct_0(A)) & l1_orders_2(A))) | ![B: $i] : ((~((~v3_struct_0(B)) & l1_orders_2(B))) | ![C: $i] : ((~((~v3_struct_0(C)) & l1_orders_2(C))) | ![D: $i] : ((~m1_subset_1(D, k1_zfmisc_1(u1_struct_0(A)))) | ![E: $i] : ((~(v1_funct_1(E) & v1_funct_2(E, u1_struct_0(A), u1_struct_0(B)) & m2_relset_1(E, u1_struct_0(A), u1_struct_0(B)))) | ![F: $i] : (r4_waybel_0(A, C, k7_funct_2(u1_struct_0(A), u1_struct_0(B), u1_struct_0(C), E, F), D) | (~(r4_waybel_0(A, B, E, D) & r4_waybel_0(B, C, F, k4_pre_topc(A, B, E, D)))) | (~(v1_funct_1(F) & v1_funct_2(F, u1_struct_0(B), u1_struct_0(C)) & m2_relset_1(F, u1_struct_0(B), u1_struct_0(C))))))))))),
% 0.50/0.67 inference(modus_ponens,[status(thm)],[261, 257])).
% 0.50/0.67 tff(263,plain,(
% 0.50/0.67 ![A: $i] : ((~((~v3_struct_0(A)) & l1_orders_2(A))) | ![B: $i] : ((~((~v3_struct_0(B)) & l1_orders_2(B))) | ![C: $i] : ((~((~v3_struct_0(C)) & l1_orders_2(C))) | ![D: $i] : ((~m1_subset_1(D, k1_zfmisc_1(u1_struct_0(A)))) | ![E: $i] : ((~(v1_funct_1(E) & v1_funct_2(E, u1_struct_0(A), u1_struct_0(B)) & m2_relset_1(E, u1_struct_0(A), u1_struct_0(B)))) | ![F: $i] : (r4_waybel_0(A, C, k7_funct_2(u1_struct_0(A), u1_struct_0(B), u1_struct_0(C), E, F), D) | (~(r4_waybel_0(A, B, E, D) & r4_waybel_0(B, C, F, k4_pre_topc(A, B, E, D)))) | (~(v1_funct_1(F) & v1_funct_2(F, u1_struct_0(B), u1_struct_0(C)) & m2_relset_1(F, u1_struct_0(B), u1_struct_0(C))))))))))),
% 0.50/0.67 inference(skolemize,[status(sab)],[262])).
% 0.50/0.67 tff(264,plain,
% 0.50/0.67 (![A: $i] : (v3_struct_0(A) | (~l1_orders_2(A)) | ![B: $i] : (v3_struct_0(B) | (~l1_orders_2(B)) | ![C: $i] : (v3_struct_0(C) | (~l1_orders_2(C)) | ![D: $i] : ((~m1_subset_1(D, k1_zfmisc_1(u1_struct_0(A)))) | ![E: $i] : ((~v1_funct_1(E)) | (~v1_funct_2(E, u1_struct_0(A), u1_struct_0(B))) | (~m2_relset_1(E, u1_struct_0(A), u1_struct_0(B))) | ![F: $i] : (r4_waybel_0(A, C, k7_funct_2(u1_struct_0(A), u1_struct_0(B), u1_struct_0(C), E, F), D) | (~v1_funct_1(F)) | (~v1_funct_2(F, u1_struct_0(B), u1_struct_0(C))) | (~m2_relset_1(F, u1_struct_0(B), u1_struct_0(C))) | (~r4_waybel_0(A, B, E, D)) | (~r4_waybel_0(B, C, F, k4_pre_topc(A, B, E, D)))))))))),
% 0.50/0.67 inference(modus_ponens,[status(thm)],[263, 256])).
% 0.50/0.67 tff(265,plain,
% 0.50/0.67 (![A: $i] : (v3_struct_0(A) | (~l1_orders_2(A)) | ![B: $i] : (v3_struct_0(B) | (~l1_orders_2(B)) | ![C: $i] : (v3_struct_0(C) | (~l1_orders_2(C)) | ![D: $i] : ((~m1_subset_1(D, k1_zfmisc_1(u1_struct_0(A)))) | ![E: $i] : ((~v1_funct_1(E)) | (~v1_funct_2(E, u1_struct_0(A), u1_struct_0(B))) | (~m2_relset_1(E, u1_struct_0(A), u1_struct_0(B))) | ![F: $i] : (r4_waybel_0(A, C, k7_funct_2(u1_struct_0(A), u1_struct_0(B), u1_struct_0(C), E, F), D) | (~v1_funct_1(F)) | (~v1_funct_2(F, u1_struct_0(B), u1_struct_0(C))) | (~m2_relset_1(F, u1_struct_0(B), u1_struct_0(C))) | (~r4_waybel_0(A, B, E, D)) | (~r4_waybel_0(B, C, F, k4_pre_topc(A, B, E, D)))))))))),
% 0.50/0.67 inference(modus_ponens,[status(thm)],[264, 254])).
% 0.50/0.67 tff(266,plain,
% 0.50/0.67 (((~![A: $i] : (v3_struct_0(A) | (~l1_orders_2(A)) | ![B: $i] : (v3_struct_0(B) | (~l1_orders_2(B)) | ![C: $i] : (v3_struct_0(C) | (~l1_orders_2(C)) | ![D: $i] : ((~m1_subset_1(D, k1_zfmisc_1(u1_struct_0(A)))) | ![E: $i] : ((~v1_funct_1(E)) | (~v1_funct_2(E, u1_struct_0(A), u1_struct_0(B))) | (~m2_relset_1(E, u1_struct_0(A), u1_struct_0(B))) | ![F: $i] : (r4_waybel_0(A, C, k7_funct_2(u1_struct_0(A), u1_struct_0(B), u1_struct_0(C), E, F), D) | (~v1_funct_1(F)) | (~v1_funct_2(F, u1_struct_0(B), u1_struct_0(C))) | (~m2_relset_1(F, u1_struct_0(B), u1_struct_0(C))) | (~r4_waybel_0(A, B, E, D)) | (~r4_waybel_0(B, C, F, k4_pre_topc(A, B, E, D)))))))))) | (v3_struct_0(A!0) | (~l1_orders_2(A!0)) | ![B: $i] : (v3_struct_0(B) | (~l1_orders_2(B)) | ![C: $i] : (v3_struct_0(C) | (~l1_orders_2(C)) | ![D: $i] : ((~m1_subset_1(D, k1_zfmisc_1(u1_struct_0(A!0)))) | ![E: $i] : ((~v1_funct_1(E)) | (~m2_relset_1(E, u1_struct_0(A!0), u1_struct_0(B))) | (~v1_funct_2(E, u1_struct_0(A!0), u1_struct_0(B))) | ![F: $i] : ((~v1_funct_1(F)) | (~v1_funct_2(F, u1_struct_0(B), u1_struct_0(C))) | (~m2_relset_1(F, u1_struct_0(B), u1_struct_0(C))) | r4_waybel_0(A!0, C, k7_funct_2(u1_struct_0(A!0), u1_struct_0(B), u1_struct_0(C), E, F), D) | (~r4_waybel_0(A!0, B, E, D)) | (~r4_waybel_0(B, C, F, k4_pre_topc(A!0, B, E, D)))))))))) <=> ((~![A: $i] : (v3_struct_0(A) | (~l1_orders_2(A)) | ![B: $i] : (v3_struct_0(B) | (~l1_orders_2(B)) | ![C: $i] : (v3_struct_0(C) | (~l1_orders_2(C)) | ![D: $i] : ((~m1_subset_1(D, k1_zfmisc_1(u1_struct_0(A)))) | ![E: $i] : ((~v1_funct_1(E)) | (~v1_funct_2(E, u1_struct_0(A), u1_struct_0(B))) | (~m2_relset_1(E, u1_struct_0(A), u1_struct_0(B))) | ![F: $i] : (r4_waybel_0(A, C, k7_funct_2(u1_struct_0(A), u1_struct_0(B), u1_struct_0(C), E, F), D) | (~v1_funct_1(F)) | (~v1_funct_2(F, u1_struct_0(B), u1_struct_0(C))) | (~m2_relset_1(F, u1_struct_0(B), u1_struct_0(C))) | (~r4_waybel_0(A, B, E, D)) | (~r4_waybel_0(B, C, F, k4_pre_topc(A, B, E, D)))))))))) | v3_struct_0(A!0) | (~l1_orders_2(A!0)) | ![B: $i] : (v3_struct_0(B) | (~l1_orders_2(B)) | ![C: $i] : (v3_struct_0(C) | (~l1_orders_2(C)) | ![D: $i] : ((~m1_subset_1(D, k1_zfmisc_1(u1_struct_0(A!0)))) | ![E: $i] : ((~v1_funct_1(E)) | (~m2_relset_1(E, u1_struct_0(A!0), u1_struct_0(B))) | (~v1_funct_2(E, u1_struct_0(A!0), u1_struct_0(B))) | ![F: $i] : ((~v1_funct_1(F)) | (~v1_funct_2(F, u1_struct_0(B), u1_struct_0(C))) | (~m2_relset_1(F, u1_struct_0(B), u1_struct_0(C))) | r4_waybel_0(A!0, C, k7_funct_2(u1_struct_0(A!0), u1_struct_0(B), u1_struct_0(C), E, F), D) | (~r4_waybel_0(A!0, B, E, D)) | (~r4_waybel_0(B, C, F, k4_pre_topc(A!0, B, E, D)))))))))),
% 0.50/0.67 inference(rewrite,[status(thm)],[])).
% 0.50/0.67 tff(267,plain,
% 0.50/0.67 ((v3_struct_0(A!0) | (~l1_orders_2(A!0)) | ![B: $i] : (v3_struct_0(B) | (~l1_orders_2(B)) | ![C: $i] : (v3_struct_0(C) | (~l1_orders_2(C)) | ![D: $i] : ((~m1_subset_1(D, k1_zfmisc_1(u1_struct_0(A!0)))) | ![E: $i] : ((~v1_funct_1(E)) | (~v1_funct_2(E, u1_struct_0(A!0), u1_struct_0(B))) | (~m2_relset_1(E, u1_struct_0(A!0), u1_struct_0(B))) | ![F: $i] : (r4_waybel_0(A!0, C, k7_funct_2(u1_struct_0(A!0), u1_struct_0(B), u1_struct_0(C), E, F), D) | (~v1_funct_1(F)) | (~v1_funct_2(F, u1_struct_0(B), u1_struct_0(C))) | (~m2_relset_1(F, u1_struct_0(B), u1_struct_0(C))) | (~r4_waybel_0(A!0, B, E, D)) | (~r4_waybel_0(B, C, F, k4_pre_topc(A!0, B, E, D))))))))) <=> (v3_struct_0(A!0) | (~l1_orders_2(A!0)) | ![B: $i] : (v3_struct_0(B) | (~l1_orders_2(B)) | ![C: $i] : (v3_struct_0(C) | (~l1_orders_2(C)) | ![D: $i] : ((~m1_subset_1(D, k1_zfmisc_1(u1_struct_0(A!0)))) | ![E: $i] : ((~v1_funct_1(E)) | (~m2_relset_1(E, u1_struct_0(A!0), u1_struct_0(B))) | (~v1_funct_2(E, u1_struct_0(A!0), u1_struct_0(B))) | ![F: $i] : ((~v1_funct_1(F)) | (~v1_funct_2(F, u1_struct_0(B), u1_struct_0(C))) | (~m2_relset_1(F, u1_struct_0(B), u1_struct_0(C))) | r4_waybel_0(A!0, C, k7_funct_2(u1_struct_0(A!0), u1_struct_0(B), u1_struct_0(C), E, F), D) | (~r4_waybel_0(A!0, B, E, D)) | (~r4_waybel_0(B, C, F, k4_pre_topc(A!0, B, E, D)))))))))),
% 0.50/0.67 inference(rewrite,[status(thm)],[])).
% 0.50/0.67 tff(268,plain,
% 0.50/0.67 (((~![A: $i] : (v3_struct_0(A) | (~l1_orders_2(A)) | ![B: $i] : (v3_struct_0(B) | (~l1_orders_2(B)) | ![C: $i] : (v3_struct_0(C) | (~l1_orders_2(C)) | ![D: $i] : ((~m1_subset_1(D, k1_zfmisc_1(u1_struct_0(A)))) | ![E: $i] : ((~v1_funct_1(E)) | (~v1_funct_2(E, u1_struct_0(A), u1_struct_0(B))) | (~m2_relset_1(E, u1_struct_0(A), u1_struct_0(B))) | ![F: $i] : (r4_waybel_0(A, C, k7_funct_2(u1_struct_0(A), u1_struct_0(B), u1_struct_0(C), E, F), D) | (~v1_funct_1(F)) | (~v1_funct_2(F, u1_struct_0(B), u1_struct_0(C))) | (~m2_relset_1(F, u1_struct_0(B), u1_struct_0(C))) | (~r4_waybel_0(A, B, E, D)) | (~r4_waybel_0(B, C, F, k4_pre_topc(A, B, E, D)))))))))) | (v3_struct_0(A!0) | (~l1_orders_2(A!0)) | ![B: $i] : (v3_struct_0(B) | (~l1_orders_2(B)) | ![C: $i] : (v3_struct_0(C) | (~l1_orders_2(C)) | ![D: $i] : ((~m1_subset_1(D, k1_zfmisc_1(u1_struct_0(A!0)))) | ![E: $i] : ((~v1_funct_1(E)) | (~v1_funct_2(E, u1_struct_0(A!0), u1_struct_0(B))) | (~m2_relset_1(E, u1_struct_0(A!0), u1_struct_0(B))) | ![F: $i] : (r4_waybel_0(A!0, C, k7_funct_2(u1_struct_0(A!0), u1_struct_0(B), u1_struct_0(C), E, F), D) | (~v1_funct_1(F)) | (~v1_funct_2(F, u1_struct_0(B), u1_struct_0(C))) | (~m2_relset_1(F, u1_struct_0(B), u1_struct_0(C))) | (~r4_waybel_0(A!0, B, E, D)) | (~r4_waybel_0(B, C, F, k4_pre_topc(A!0, B, E, D)))))))))) <=> ((~![A: $i] : (v3_struct_0(A) | (~l1_orders_2(A)) | ![B: $i] : (v3_struct_0(B) | (~l1_orders_2(B)) | ![C: $i] : (v3_struct_0(C) | (~l1_orders_2(C)) | ![D: $i] : ((~m1_subset_1(D, k1_zfmisc_1(u1_struct_0(A)))) | ![E: $i] : ((~v1_funct_1(E)) | (~v1_funct_2(E, u1_struct_0(A), u1_struct_0(B))) | (~m2_relset_1(E, u1_struct_0(A), u1_struct_0(B))) | ![F: $i] : (r4_waybel_0(A, C, k7_funct_2(u1_struct_0(A), u1_struct_0(B), u1_struct_0(C), E, F), D) | (~v1_funct_1(F)) | (~v1_funct_2(F, u1_struct_0(B), u1_struct_0(C))) | (~m2_relset_1(F, u1_struct_0(B), u1_struct_0(C))) | (~r4_waybel_0(A, B, E, D)) | (~r4_waybel_0(B, C, F, k4_pre_topc(A, B, E, D)))))))))) | (v3_struct_0(A!0) | (~l1_orders_2(A!0)) | ![B: $i] : (v3_struct_0(B) | (~l1_orders_2(B)) | ![C: $i] : (v3_struct_0(C) | (~l1_orders_2(C)) | ![D: $i] : ((~m1_subset_1(D, k1_zfmisc_1(u1_struct_0(A!0)))) | ![E: $i] : ((~v1_funct_1(E)) | (~m2_relset_1(E, u1_struct_0(A!0), u1_struct_0(B))) | (~v1_funct_2(E, u1_struct_0(A!0), u1_struct_0(B))) | ![F: $i] : ((~v1_funct_1(F)) | (~v1_funct_2(F, u1_struct_0(B), u1_struct_0(C))) | (~m2_relset_1(F, u1_struct_0(B), u1_struct_0(C))) | r4_waybel_0(A!0, C, k7_funct_2(u1_struct_0(A!0), u1_struct_0(B), u1_struct_0(C), E, F), D) | (~r4_waybel_0(A!0, B, E, D)) | (~r4_waybel_0(B, C, F, k4_pre_topc(A!0, B, E, D))))))))))),
% 0.50/0.67 inference(monotonicity,[status(thm)],[267])).
% 0.50/0.67 tff(269,plain,
% 0.50/0.67 (((~![A: $i] : (v3_struct_0(A) | (~l1_orders_2(A)) | ![B: $i] : (v3_struct_0(B) | (~l1_orders_2(B)) | ![C: $i] : (v3_struct_0(C) | (~l1_orders_2(C)) | ![D: $i] : ((~m1_subset_1(D, k1_zfmisc_1(u1_struct_0(A)))) | ![E: $i] : ((~v1_funct_1(E)) | (~v1_funct_2(E, u1_struct_0(A), u1_struct_0(B))) | (~m2_relset_1(E, u1_struct_0(A), u1_struct_0(B))) | ![F: $i] : (r4_waybel_0(A, C, k7_funct_2(u1_struct_0(A), u1_struct_0(B), u1_struct_0(C), E, F), D) | (~v1_funct_1(F)) | (~v1_funct_2(F, u1_struct_0(B), u1_struct_0(C))) | (~m2_relset_1(F, u1_struct_0(B), u1_struct_0(C))) | (~r4_waybel_0(A, B, E, D)) | (~r4_waybel_0(B, C, F, k4_pre_topc(A, B, E, D)))))))))) | (v3_struct_0(A!0) | (~l1_orders_2(A!0)) | ![B: $i] : (v3_struct_0(B) | (~l1_orders_2(B)) | ![C: $i] : (v3_struct_0(C) | (~l1_orders_2(C)) | ![D: $i] : ((~m1_subset_1(D, k1_zfmisc_1(u1_struct_0(A!0)))) | ![E: $i] : ((~v1_funct_1(E)) | (~v1_funct_2(E, u1_struct_0(A!0), u1_struct_0(B))) | (~m2_relset_1(E, u1_struct_0(A!0), u1_struct_0(B))) | ![F: $i] : (r4_waybel_0(A!0, C, k7_funct_2(u1_struct_0(A!0), u1_struct_0(B), u1_struct_0(C), E, F), D) | (~v1_funct_1(F)) | (~v1_funct_2(F, u1_struct_0(B), u1_struct_0(C))) | (~m2_relset_1(F, u1_struct_0(B), u1_struct_0(C))) | (~r4_waybel_0(A!0, B, E, D)) | (~r4_waybel_0(B, C, F, k4_pre_topc(A!0, B, E, D)))))))))) <=> ((~![A: $i] : (v3_struct_0(A) | (~l1_orders_2(A)) | ![B: $i] : (v3_struct_0(B) | (~l1_orders_2(B)) | ![C: $i] : (v3_struct_0(C) | (~l1_orders_2(C)) | ![D: $i] : ((~m1_subset_1(D, k1_zfmisc_1(u1_struct_0(A)))) | ![E: $i] : ((~v1_funct_1(E)) | (~v1_funct_2(E, u1_struct_0(A), u1_struct_0(B))) | (~m2_relset_1(E, u1_struct_0(A), u1_struct_0(B))) | ![F: $i] : (r4_waybel_0(A, C, k7_funct_2(u1_struct_0(A), u1_struct_0(B), u1_struct_0(C), E, F), D) | (~v1_funct_1(F)) | (~v1_funct_2(F, u1_struct_0(B), u1_struct_0(C))) | (~m2_relset_1(F, u1_struct_0(B), u1_struct_0(C))) | (~r4_waybel_0(A, B, E, D)) | (~r4_waybel_0(B, C, F, k4_pre_topc(A, B, E, D)))))))))) | v3_struct_0(A!0) | (~l1_orders_2(A!0)) | ![B: $i] : (v3_struct_0(B) | (~l1_orders_2(B)) | ![C: $i] : (v3_struct_0(C) | (~l1_orders_2(C)) | ![D: $i] : ((~m1_subset_1(D, k1_zfmisc_1(u1_struct_0(A!0)))) | ![E: $i] : ((~v1_funct_1(E)) | (~m2_relset_1(E, u1_struct_0(A!0), u1_struct_0(B))) | (~v1_funct_2(E, u1_struct_0(A!0), u1_struct_0(B))) | ![F: $i] : ((~v1_funct_1(F)) | (~v1_funct_2(F, u1_struct_0(B), u1_struct_0(C))) | (~m2_relset_1(F, u1_struct_0(B), u1_struct_0(C))) | r4_waybel_0(A!0, C, k7_funct_2(u1_struct_0(A!0), u1_struct_0(B), u1_struct_0(C), E, F), D) | (~r4_waybel_0(A!0, B, E, D)) | (~r4_waybel_0(B, C, F, k4_pre_topc(A!0, B, E, D)))))))))),
% 0.50/0.67 inference(transitivity,[status(thm)],[268, 266])).
% 0.50/0.67 tff(270,plain,
% 0.50/0.67 ((~![A: $i] : (v3_struct_0(A) | (~l1_orders_2(A)) | ![B: $i] : (v3_struct_0(B) | (~l1_orders_2(B)) | ![C: $i] : (v3_struct_0(C) | (~l1_orders_2(C)) | ![D: $i] : ((~m1_subset_1(D, k1_zfmisc_1(u1_struct_0(A)))) | ![E: $i] : ((~v1_funct_1(E)) | (~v1_funct_2(E, u1_struct_0(A), u1_struct_0(B))) | (~m2_relset_1(E, u1_struct_0(A), u1_struct_0(B))) | ![F: $i] : (r4_waybel_0(A, C, k7_funct_2(u1_struct_0(A), u1_struct_0(B), u1_struct_0(C), E, F), D) | (~v1_funct_1(F)) | (~v1_funct_2(F, u1_struct_0(B), u1_struct_0(C))) | (~m2_relset_1(F, u1_struct_0(B), u1_struct_0(C))) | (~r4_waybel_0(A, B, E, D)) | (~r4_waybel_0(B, C, F, k4_pre_topc(A, B, E, D)))))))))) | (v3_struct_0(A!0) | (~l1_orders_2(A!0)) | ![B: $i] : (v3_struct_0(B) | (~l1_orders_2(B)) | ![C: $i] : (v3_struct_0(C) | (~l1_orders_2(C)) | ![D: $i] : ((~m1_subset_1(D, k1_zfmisc_1(u1_struct_0(A!0)))) | ![E: $i] : ((~v1_funct_1(E)) | (~v1_funct_2(E, u1_struct_0(A!0), u1_struct_0(B))) | (~m2_relset_1(E, u1_struct_0(A!0), u1_struct_0(B))) | ![F: $i] : (r4_waybel_0(A!0, C, k7_funct_2(u1_struct_0(A!0), u1_struct_0(B), u1_struct_0(C), E, F), D) | (~v1_funct_1(F)) | (~v1_funct_2(F, u1_struct_0(B), u1_struct_0(C))) | (~m2_relset_1(F, u1_struct_0(B), u1_struct_0(C))) | (~r4_waybel_0(A!0, B, E, D)) | (~r4_waybel_0(B, C, F, k4_pre_topc(A!0, B, E, D)))))))))),
% 0.50/0.67 inference(quant_inst,[status(thm)],[])).
% 0.50/0.67 tff(271,plain,
% 0.50/0.67 ((~![A: $i] : (v3_struct_0(A) | (~l1_orders_2(A)) | ![B: $i] : (v3_struct_0(B) | (~l1_orders_2(B)) | ![C: $i] : (v3_struct_0(C) | (~l1_orders_2(C)) | ![D: $i] : ((~m1_subset_1(D, k1_zfmisc_1(u1_struct_0(A)))) | ![E: $i] : ((~v1_funct_1(E)) | (~v1_funct_2(E, u1_struct_0(A), u1_struct_0(B))) | (~m2_relset_1(E, u1_struct_0(A), u1_struct_0(B))) | ![F: $i] : (r4_waybel_0(A, C, k7_funct_2(u1_struct_0(A), u1_struct_0(B), u1_struct_0(C), E, F), D) | (~v1_funct_1(F)) | (~v1_funct_2(F, u1_struct_0(B), u1_struct_0(C))) | (~m2_relset_1(F, u1_struct_0(B), u1_struct_0(C))) | (~r4_waybel_0(A, B, E, D)) | (~r4_waybel_0(B, C, F, k4_pre_topc(A, B, E, D)))))))))) | v3_struct_0(A!0) | (~l1_orders_2(A!0)) | ![B: $i] : (v3_struct_0(B) | (~l1_orders_2(B)) | ![C: $i] : (v3_struct_0(C) | (~l1_orders_2(C)) | ![D: $i] : ((~m1_subset_1(D, k1_zfmisc_1(u1_struct_0(A!0)))) | ![E: $i] : ((~v1_funct_1(E)) | (~m2_relset_1(E, u1_struct_0(A!0), u1_struct_0(B))) | (~v1_funct_2(E, u1_struct_0(A!0), u1_struct_0(B))) | ![F: $i] : ((~v1_funct_1(F)) | (~v1_funct_2(F, u1_struct_0(B), u1_struct_0(C))) | (~m2_relset_1(F, u1_struct_0(B), u1_struct_0(C))) | r4_waybel_0(A!0, C, k7_funct_2(u1_struct_0(A!0), u1_struct_0(B), u1_struct_0(C), E, F), D) | (~r4_waybel_0(A!0, B, E, D)) | (~r4_waybel_0(B, C, F, k4_pre_topc(A!0, B, E, D))))))))),
% 0.50/0.67 inference(modus_ponens,[status(thm)],[270, 269])).
% 0.50/0.67 tff(272,plain,
% 0.50/0.67 (![B: $i] : (v3_struct_0(B) | (~l1_orders_2(B)) | ![C: $i] : (v3_struct_0(C) | (~l1_orders_2(C)) | ![D: $i] : ((~m1_subset_1(D, k1_zfmisc_1(u1_struct_0(A!0)))) | ![E: $i] : ((~v1_funct_1(E)) | (~m2_relset_1(E, u1_struct_0(A!0), u1_struct_0(B))) | (~v1_funct_2(E, u1_struct_0(A!0), u1_struct_0(B))) | ![F: $i] : ((~v1_funct_1(F)) | (~v1_funct_2(F, u1_struct_0(B), u1_struct_0(C))) | (~m2_relset_1(F, u1_struct_0(B), u1_struct_0(C))) | r4_waybel_0(A!0, C, k7_funct_2(u1_struct_0(A!0), u1_struct_0(B), u1_struct_0(C), E, F), D) | (~r4_waybel_0(A!0, B, E, D)) | (~r4_waybel_0(B, C, F, k4_pre_topc(A!0, B, E, D))))))))),
% 0.50/0.67 inference(unit_resolution,[status(thm)],[271, 208, 50, 265])).
% 0.50/0.67 tff(273,plain,
% 0.50/0.67 (((~![B: $i] : (v3_struct_0(B) | (~l1_orders_2(B)) | ![C: $i] : (v3_struct_0(C) | (~l1_orders_2(C)) | ![D: $i] : ((~m1_subset_1(D, k1_zfmisc_1(u1_struct_0(A!0)))) | ![E: $i] : ((~v1_funct_1(E)) | (~m2_relset_1(E, u1_struct_0(A!0), u1_struct_0(B))) | (~v1_funct_2(E, u1_struct_0(A!0), u1_struct_0(B))) | ![F: $i] : ((~v1_funct_1(F)) | (~v1_funct_2(F, u1_struct_0(B), u1_struct_0(C))) | (~m2_relset_1(F, u1_struct_0(B), u1_struct_0(C))) | r4_waybel_0(A!0, C, k7_funct_2(u1_struct_0(A!0), u1_struct_0(B), u1_struct_0(C), E, F), D) | (~r4_waybel_0(A!0, B, E, D)) | (~r4_waybel_0(B, C, F, k4_pre_topc(A!0, B, E, D))))))))) | (v3_struct_0(B!1) | (~l1_orders_2(B!1)) | ![C: $i] : (v3_struct_0(C) | (~l1_orders_2(C)) | ![D: $i] : ((~m1_subset_1(D, k1_zfmisc_1(u1_struct_0(A!0)))) | ![E: $i] : ((~v1_funct_1(E)) | (~m2_relset_1(E, u1_struct_0(A!0), u1_struct_0(B!1))) | (~v1_funct_2(E, u1_struct_0(A!0), u1_struct_0(B!1))) | ![F: $i] : ((~v1_funct_1(F)) | (~m2_relset_1(F, u1_struct_0(B!1), u1_struct_0(C))) | (~v1_funct_2(F, u1_struct_0(B!1), u1_struct_0(C))) | r4_waybel_0(A!0, C, k7_funct_2(u1_struct_0(A!0), u1_struct_0(B!1), u1_struct_0(C), E, F), D) | (~r4_waybel_0(A!0, B!1, E, D)) | (~r4_waybel_0(B!1, C, F, k4_pre_topc(A!0, B!1, E, D))))))))) <=> ((~![B: $i] : (v3_struct_0(B) | (~l1_orders_2(B)) | ![C: $i] : (v3_struct_0(C) | (~l1_orders_2(C)) | ![D: $i] : ((~m1_subset_1(D, k1_zfmisc_1(u1_struct_0(A!0)))) | ![E: $i] : ((~v1_funct_1(E)) | (~m2_relset_1(E, u1_struct_0(A!0), u1_struct_0(B))) | (~v1_funct_2(E, u1_struct_0(A!0), u1_struct_0(B))) | ![F: $i] : ((~v1_funct_1(F)) | (~v1_funct_2(F, u1_struct_0(B), u1_struct_0(C))) | (~m2_relset_1(F, u1_struct_0(B), u1_struct_0(C))) | r4_waybel_0(A!0, C, k7_funct_2(u1_struct_0(A!0), u1_struct_0(B), u1_struct_0(C), E, F), D) | (~r4_waybel_0(A!0, B, E, D)) | (~r4_waybel_0(B, C, F, k4_pre_topc(A!0, B, E, D))))))))) | v3_struct_0(B!1) | (~l1_orders_2(B!1)) | ![C: $i] : (v3_struct_0(C) | (~l1_orders_2(C)) | ![D: $i] : ((~m1_subset_1(D, k1_zfmisc_1(u1_struct_0(A!0)))) | ![E: $i] : ((~v1_funct_1(E)) | (~m2_relset_1(E, u1_struct_0(A!0), u1_struct_0(B!1))) | (~v1_funct_2(E, u1_struct_0(A!0), u1_struct_0(B!1))) | ![F: $i] : ((~v1_funct_1(F)) | (~m2_relset_1(F, u1_struct_0(B!1), u1_struct_0(C))) | (~v1_funct_2(F, u1_struct_0(B!1), u1_struct_0(C))) | r4_waybel_0(A!0, C, k7_funct_2(u1_struct_0(A!0), u1_struct_0(B!1), u1_struct_0(C), E, F), D) | (~r4_waybel_0(A!0, B!1, E, D)) | (~r4_waybel_0(B!1, C, F, k4_pre_topc(A!0, B!1, E, D))))))))),
% 0.50/0.67 inference(rewrite,[status(thm)],[])).
% 0.50/0.67 tff(274,plain,
% 0.50/0.67 ((v3_struct_0(B!1) | (~l1_orders_2(B!1)) | ![C: $i] : (v3_struct_0(C) | (~l1_orders_2(C)) | ![D: $i] : ((~m1_subset_1(D, k1_zfmisc_1(u1_struct_0(A!0)))) | ![E: $i] : ((~v1_funct_1(E)) | (~m2_relset_1(E, u1_struct_0(A!0), u1_struct_0(B!1))) | (~v1_funct_2(E, u1_struct_0(A!0), u1_struct_0(B!1))) | ![F: $i] : ((~v1_funct_1(F)) | (~v1_funct_2(F, u1_struct_0(B!1), u1_struct_0(C))) | (~m2_relset_1(F, u1_struct_0(B!1), u1_struct_0(C))) | r4_waybel_0(A!0, C, k7_funct_2(u1_struct_0(A!0), u1_struct_0(B!1), u1_struct_0(C), E, F), D) | (~r4_waybel_0(A!0, B!1, E, D)) | (~r4_waybel_0(B!1, C, F, k4_pre_topc(A!0, B!1, E, D)))))))) <=> (v3_struct_0(B!1) | (~l1_orders_2(B!1)) | ![C: $i] : (v3_struct_0(C) | (~l1_orders_2(C)) | ![D: $i] : ((~m1_subset_1(D, k1_zfmisc_1(u1_struct_0(A!0)))) | ![E: $i] : ((~v1_funct_1(E)) | (~m2_relset_1(E, u1_struct_0(A!0), u1_struct_0(B!1))) | (~v1_funct_2(E, u1_struct_0(A!0), u1_struct_0(B!1))) | ![F: $i] : ((~v1_funct_1(F)) | (~m2_relset_1(F, u1_struct_0(B!1), u1_struct_0(C))) | (~v1_funct_2(F, u1_struct_0(B!1), u1_struct_0(C))) | r4_waybel_0(A!0, C, k7_funct_2(u1_struct_0(A!0), u1_struct_0(B!1), u1_struct_0(C), E, F), D) | (~r4_waybel_0(A!0, B!1, E, D)) | (~r4_waybel_0(B!1, C, F, k4_pre_topc(A!0, B!1, E, D))))))))),
% 0.50/0.67 inference(rewrite,[status(thm)],[])).
% 0.50/0.67 tff(275,plain,
% 0.50/0.67 (((~![B: $i] : (v3_struct_0(B) | (~l1_orders_2(B)) | ![C: $i] : (v3_struct_0(C) | (~l1_orders_2(C)) | ![D: $i] : ((~m1_subset_1(D, k1_zfmisc_1(u1_struct_0(A!0)))) | ![E: $i] : ((~v1_funct_1(E)) | (~m2_relset_1(E, u1_struct_0(A!0), u1_struct_0(B))) | (~v1_funct_2(E, u1_struct_0(A!0), u1_struct_0(B))) | ![F: $i] : ((~v1_funct_1(F)) | (~v1_funct_2(F, u1_struct_0(B), u1_struct_0(C))) | (~m2_relset_1(F, u1_struct_0(B), u1_struct_0(C))) | r4_waybel_0(A!0, C, k7_funct_2(u1_struct_0(A!0), u1_struct_0(B), u1_struct_0(C), E, F), D) | (~r4_waybel_0(A!0, B, E, D)) | (~r4_waybel_0(B, C, F, k4_pre_topc(A!0, B, E, D))))))))) | (v3_struct_0(B!1) | (~l1_orders_2(B!1)) | ![C: $i] : (v3_struct_0(C) | (~l1_orders_2(C)) | ![D: $i] : ((~m1_subset_1(D, k1_zfmisc_1(u1_struct_0(A!0)))) | ![E: $i] : ((~v1_funct_1(E)) | (~m2_relset_1(E, u1_struct_0(A!0), u1_struct_0(B!1))) | (~v1_funct_2(E, u1_struct_0(A!0), u1_struct_0(B!1))) | ![F: $i] : ((~v1_funct_1(F)) | (~v1_funct_2(F, u1_struct_0(B!1), u1_struct_0(C))) | (~m2_relset_1(F, u1_struct_0(B!1), u1_struct_0(C))) | r4_waybel_0(A!0, C, k7_funct_2(u1_struct_0(A!0), u1_struct_0(B!1), u1_struct_0(C), E, F), D) | (~r4_waybel_0(A!0, B!1, E, D)) | (~r4_waybel_0(B!1, C, F, k4_pre_topc(A!0, B!1, E, D))))))))) <=> ((~![B: $i] : (v3_struct_0(B) | (~l1_orders_2(B)) | ![C: $i] : (v3_struct_0(C) | (~l1_orders_2(C)) | ![D: $i] : ((~m1_subset_1(D, k1_zfmisc_1(u1_struct_0(A!0)))) | ![E: $i] : ((~v1_funct_1(E)) | (~m2_relset_1(E, u1_struct_0(A!0), u1_struct_0(B))) | (~v1_funct_2(E, u1_struct_0(A!0), u1_struct_0(B))) | ![F: $i] : ((~v1_funct_1(F)) | (~v1_funct_2(F, u1_struct_0(B), u1_struct_0(C))) | (~m2_relset_1(F, u1_struct_0(B), u1_struct_0(C))) | r4_waybel_0(A!0, C, k7_funct_2(u1_struct_0(A!0), u1_struct_0(B), u1_struct_0(C), E, F), D) | (~r4_waybel_0(A!0, B, E, D)) | (~r4_waybel_0(B, C, F, k4_pre_topc(A!0, B, E, D))))))))) | (v3_struct_0(B!1) | (~l1_orders_2(B!1)) | ![C: $i] : (v3_struct_0(C) | (~l1_orders_2(C)) | ![D: $i] : ((~m1_subset_1(D, k1_zfmisc_1(u1_struct_0(A!0)))) | ![E: $i] : ((~v1_funct_1(E)) | (~m2_relset_1(E, u1_struct_0(A!0), u1_struct_0(B!1))) | (~v1_funct_2(E, u1_struct_0(A!0), u1_struct_0(B!1))) | ![F: $i] : ((~v1_funct_1(F)) | (~m2_relset_1(F, u1_struct_0(B!1), u1_struct_0(C))) | (~v1_funct_2(F, u1_struct_0(B!1), u1_struct_0(C))) | r4_waybel_0(A!0, C, k7_funct_2(u1_struct_0(A!0), u1_struct_0(B!1), u1_struct_0(C), E, F), D) | (~r4_waybel_0(A!0, B!1, E, D)) | (~r4_waybel_0(B!1, C, F, k4_pre_topc(A!0, B!1, E, D)))))))))),
% 0.50/0.67 inference(monotonicity,[status(thm)],[274])).
% 0.50/0.67 tff(276,plain,
% 0.50/0.67 (((~![B: $i] : (v3_struct_0(B) | (~l1_orders_2(B)) | ![C: $i] : (v3_struct_0(C) | (~l1_orders_2(C)) | ![D: $i] : ((~m1_subset_1(D, k1_zfmisc_1(u1_struct_0(A!0)))) | ![E: $i] : ((~v1_funct_1(E)) | (~m2_relset_1(E, u1_struct_0(A!0), u1_struct_0(B))) | (~v1_funct_2(E, u1_struct_0(A!0), u1_struct_0(B))) | ![F: $i] : ((~v1_funct_1(F)) | (~v1_funct_2(F, u1_struct_0(B), u1_struct_0(C))) | (~m2_relset_1(F, u1_struct_0(B), u1_struct_0(C))) | r4_waybel_0(A!0, C, k7_funct_2(u1_struct_0(A!0), u1_struct_0(B), u1_struct_0(C), E, F), D) | (~r4_waybel_0(A!0, B, E, D)) | (~r4_waybel_0(B, C, F, k4_pre_topc(A!0, B, E, D))))))))) | (v3_struct_0(B!1) | (~l1_orders_2(B!1)) | ![C: $i] : (v3_struct_0(C) | (~l1_orders_2(C)) | ![D: $i] : ((~m1_subset_1(D, k1_zfmisc_1(u1_struct_0(A!0)))) | ![E: $i] : ((~v1_funct_1(E)) | (~m2_relset_1(E, u1_struct_0(A!0), u1_struct_0(B!1))) | (~v1_funct_2(E, u1_struct_0(A!0), u1_struct_0(B!1))) | ![F: $i] : ((~v1_funct_1(F)) | (~v1_funct_2(F, u1_struct_0(B!1), u1_struct_0(C))) | (~m2_relset_1(F, u1_struct_0(B!1), u1_struct_0(C))) | r4_waybel_0(A!0, C, k7_funct_2(u1_struct_0(A!0), u1_struct_0(B!1), u1_struct_0(C), E, F), D) | (~r4_waybel_0(A!0, B!1, E, D)) | (~r4_waybel_0(B!1, C, F, k4_pre_topc(A!0, B!1, E, D))))))))) <=> ((~![B: $i] : (v3_struct_0(B) | (~l1_orders_2(B)) | ![C: $i] : (v3_struct_0(C) | (~l1_orders_2(C)) | ![D: $i] : ((~m1_subset_1(D, k1_zfmisc_1(u1_struct_0(A!0)))) | ![E: $i] : ((~v1_funct_1(E)) | (~m2_relset_1(E, u1_struct_0(A!0), u1_struct_0(B))) | (~v1_funct_2(E, u1_struct_0(A!0), u1_struct_0(B))) | ![F: $i] : ((~v1_funct_1(F)) | (~v1_funct_2(F, u1_struct_0(B), u1_struct_0(C))) | (~m2_relset_1(F, u1_struct_0(B), u1_struct_0(C))) | r4_waybel_0(A!0, C, k7_funct_2(u1_struct_0(A!0), u1_struct_0(B), u1_struct_0(C), E, F), D) | (~r4_waybel_0(A!0, B, E, D)) | (~r4_waybel_0(B, C, F, k4_pre_topc(A!0, B, E, D))))))))) | v3_struct_0(B!1) | (~l1_orders_2(B!1)) | ![C: $i] : (v3_struct_0(C) | (~l1_orders_2(C)) | ![D: $i] : ((~m1_subset_1(D, k1_zfmisc_1(u1_struct_0(A!0)))) | ![E: $i] : ((~v1_funct_1(E)) | (~m2_relset_1(E, u1_struct_0(A!0), u1_struct_0(B!1))) | (~v1_funct_2(E, u1_struct_0(A!0), u1_struct_0(B!1))) | ![F: $i] : ((~v1_funct_1(F)) | (~m2_relset_1(F, u1_struct_0(B!1), u1_struct_0(C))) | (~v1_funct_2(F, u1_struct_0(B!1), u1_struct_0(C))) | r4_waybel_0(A!0, C, k7_funct_2(u1_struct_0(A!0), u1_struct_0(B!1), u1_struct_0(C), E, F), D) | (~r4_waybel_0(A!0, B!1, E, D)) | (~r4_waybel_0(B!1, C, F, k4_pre_topc(A!0, B!1, E, D))))))))),
% 0.50/0.67 inference(transitivity,[status(thm)],[275, 273])).
% 0.50/0.67 tff(277,plain,
% 0.50/0.67 ((~![B: $i] : (v3_struct_0(B) | (~l1_orders_2(B)) | ![C: $i] : (v3_struct_0(C) | (~l1_orders_2(C)) | ![D: $i] : ((~m1_subset_1(D, k1_zfmisc_1(u1_struct_0(A!0)))) | ![E: $i] : ((~v1_funct_1(E)) | (~m2_relset_1(E, u1_struct_0(A!0), u1_struct_0(B))) | (~v1_funct_2(E, u1_struct_0(A!0), u1_struct_0(B))) | ![F: $i] : ((~v1_funct_1(F)) | (~v1_funct_2(F, u1_struct_0(B), u1_struct_0(C))) | (~m2_relset_1(F, u1_struct_0(B), u1_struct_0(C))) | r4_waybel_0(A!0, C, k7_funct_2(u1_struct_0(A!0), u1_struct_0(B), u1_struct_0(C), E, F), D) | (~r4_waybel_0(A!0, B, E, D)) | (~r4_waybel_0(B, C, F, k4_pre_topc(A!0, B, E, D))))))))) | (v3_struct_0(B!1) | (~l1_orders_2(B!1)) | ![C: $i] : (v3_struct_0(C) | (~l1_orders_2(C)) | ![D: $i] : ((~m1_subset_1(D, k1_zfmisc_1(u1_struct_0(A!0)))) | ![E: $i] : ((~v1_funct_1(E)) | (~m2_relset_1(E, u1_struct_0(A!0), u1_struct_0(B!1))) | (~v1_funct_2(E, u1_struct_0(A!0), u1_struct_0(B!1))) | ![F: $i] : ((~v1_funct_1(F)) | (~v1_funct_2(F, u1_struct_0(B!1), u1_struct_0(C))) | (~m2_relset_1(F, u1_struct_0(B!1), u1_struct_0(C))) | r4_waybel_0(A!0, C, k7_funct_2(u1_struct_0(A!0), u1_struct_0(B!1), u1_struct_0(C), E, F), D) | (~r4_waybel_0(A!0, B!1, E, D)) | (~r4_waybel_0(B!1, C, F, k4_pre_topc(A!0, B!1, E, D))))))))),
% 0.50/0.68 inference(quant_inst,[status(thm)],[])).
% 0.50/0.68 tff(278,plain,
% 0.50/0.68 ((~![B: $i] : (v3_struct_0(B) | (~l1_orders_2(B)) | ![C: $i] : (v3_struct_0(C) | (~l1_orders_2(C)) | ![D: $i] : ((~m1_subset_1(D, k1_zfmisc_1(u1_struct_0(A!0)))) | ![E: $i] : ((~v1_funct_1(E)) | (~m2_relset_1(E, u1_struct_0(A!0), u1_struct_0(B))) | (~v1_funct_2(E, u1_struct_0(A!0), u1_struct_0(B))) | ![F: $i] : ((~v1_funct_1(F)) | (~v1_funct_2(F, u1_struct_0(B), u1_struct_0(C))) | (~m2_relset_1(F, u1_struct_0(B), u1_struct_0(C))) | r4_waybel_0(A!0, C, k7_funct_2(u1_struct_0(A!0), u1_struct_0(B), u1_struct_0(C), E, F), D) | (~r4_waybel_0(A!0, B, E, D)) | (~r4_waybel_0(B, C, F, k4_pre_topc(A!0, B, E, D))))))))) | v3_struct_0(B!1) | (~l1_orders_2(B!1)) | ![C: $i] : (v3_struct_0(C) | (~l1_orders_2(C)) | ![D: $i] : ((~m1_subset_1(D, k1_zfmisc_1(u1_struct_0(A!0)))) | ![E: $i] : ((~v1_funct_1(E)) | (~m2_relset_1(E, u1_struct_0(A!0), u1_struct_0(B!1))) | (~v1_funct_2(E, u1_struct_0(A!0), u1_struct_0(B!1))) | ![F: $i] : ((~v1_funct_1(F)) | (~m2_relset_1(F, u1_struct_0(B!1), u1_struct_0(C))) | (~v1_funct_2(F, u1_struct_0(B!1), u1_struct_0(C))) | r4_waybel_0(A!0, C, k7_funct_2(u1_struct_0(A!0), u1_struct_0(B!1), u1_struct_0(C), E, F), D) | (~r4_waybel_0(A!0, B!1, E, D)) | (~r4_waybel_0(B!1, C, F, k4_pre_topc(A!0, B!1, E, D)))))))),
% 0.50/0.68 inference(modus_ponens,[status(thm)],[277, 276])).
% 0.50/0.68 tff(279,plain,
% 0.50/0.68 (![C: $i] : (v3_struct_0(C) | (~l1_orders_2(C)) | ![D: $i] : ((~m1_subset_1(D, k1_zfmisc_1(u1_struct_0(A!0)))) | ![E: $i] : ((~v1_funct_1(E)) | (~m2_relset_1(E, u1_struct_0(A!0), u1_struct_0(B!1))) | (~v1_funct_2(E, u1_struct_0(A!0), u1_struct_0(B!1))) | ![F: $i] : ((~v1_funct_1(F)) | (~m2_relset_1(F, u1_struct_0(B!1), u1_struct_0(C))) | (~v1_funct_2(F, u1_struct_0(B!1), u1_struct_0(C))) | r4_waybel_0(A!0, C, k7_funct_2(u1_struct_0(A!0), u1_struct_0(B!1), u1_struct_0(C), E, F), D) | (~r4_waybel_0(A!0, B!1, E, D)) | (~r4_waybel_0(B!1, C, F, k4_pre_topc(A!0, B!1, E, D)))))))),
% 0.50/0.68 inference(unit_resolution,[status(thm)],[278, 114, 45, 272])).
% 0.50/0.68 tff(280,plain,
% 0.50/0.68 (((~![C: $i] : (v3_struct_0(C) | (~l1_orders_2(C)) | ![D: $i] : ((~m1_subset_1(D, k1_zfmisc_1(u1_struct_0(A!0)))) | ![E: $i] : ((~v1_funct_1(E)) | (~m2_relset_1(E, u1_struct_0(A!0), u1_struct_0(B!1))) | (~v1_funct_2(E, u1_struct_0(A!0), u1_struct_0(B!1))) | ![F: $i] : ((~v1_funct_1(F)) | (~m2_relset_1(F, u1_struct_0(B!1), u1_struct_0(C))) | (~v1_funct_2(F, u1_struct_0(B!1), u1_struct_0(C))) | r4_waybel_0(A!0, C, k7_funct_2(u1_struct_0(A!0), u1_struct_0(B!1), u1_struct_0(C), E, F), D) | (~r4_waybel_0(A!0, B!1, E, D)) | (~r4_waybel_0(B!1, C, F, k4_pre_topc(A!0, B!1, E, D)))))))) | (v3_struct_0(C!2) | (~l1_orders_2(C!2)) | ![D: $i] : ((~m1_subset_1(D, k1_zfmisc_1(u1_struct_0(A!0)))) | ![E: $i] : ((~v1_funct_1(E)) | (~m2_relset_1(E, u1_struct_0(A!0), u1_struct_0(B!1))) | (~v1_funct_2(E, u1_struct_0(A!0), u1_struct_0(B!1))) | ![F: $i] : ((~v1_funct_1(F)) | (~r4_waybel_0(A!0, B!1, E, D)) | (~m2_relset_1(F, u1_struct_0(B!1), u1_struct_0(C!2))) | (~v1_funct_2(F, u1_struct_0(B!1), u1_struct_0(C!2))) | r4_waybel_0(A!0, C!2, k7_funct_2(u1_struct_0(A!0), u1_struct_0(B!1), u1_struct_0(C!2), E, F), D) | (~r4_waybel_0(B!1, C!2, F, k4_pre_topc(A!0, B!1, E, D)))))))) <=> ((~![C: $i] : (v3_struct_0(C) | (~l1_orders_2(C)) | ![D: $i] : ((~m1_subset_1(D, k1_zfmisc_1(u1_struct_0(A!0)))) | ![E: $i] : ((~v1_funct_1(E)) | (~m2_relset_1(E, u1_struct_0(A!0), u1_struct_0(B!1))) | (~v1_funct_2(E, u1_struct_0(A!0), u1_struct_0(B!1))) | ![F: $i] : ((~v1_funct_1(F)) | (~m2_relset_1(F, u1_struct_0(B!1), u1_struct_0(C))) | (~v1_funct_2(F, u1_struct_0(B!1), u1_struct_0(C))) | r4_waybel_0(A!0, C, k7_funct_2(u1_struct_0(A!0), u1_struct_0(B!1), u1_struct_0(C), E, F), D) | (~r4_waybel_0(A!0, B!1, E, D)) | (~r4_waybel_0(B!1, C, F, k4_pre_topc(A!0, B!1, E, D)))))))) | v3_struct_0(C!2) | (~l1_orders_2(C!2)) | ![D: $i] : ((~m1_subset_1(D, k1_zfmisc_1(u1_struct_0(A!0)))) | ![E: $i] : ((~v1_funct_1(E)) | (~m2_relset_1(E, u1_struct_0(A!0), u1_struct_0(B!1))) | (~v1_funct_2(E, u1_struct_0(A!0), u1_struct_0(B!1))) | ![F: $i] : ((~v1_funct_1(F)) | (~r4_waybel_0(A!0, B!1, E, D)) | (~m2_relset_1(F, u1_struct_0(B!1), u1_struct_0(C!2))) | (~v1_funct_2(F, u1_struct_0(B!1), u1_struct_0(C!2))) | r4_waybel_0(A!0, C!2, k7_funct_2(u1_struct_0(A!0), u1_struct_0(B!1), u1_struct_0(C!2), E, F), D) | (~r4_waybel_0(B!1, C!2, F, k4_pre_topc(A!0, B!1, E, D)))))))),
% 0.50/0.68 inference(rewrite,[status(thm)],[])).
% 0.50/0.68 tff(281,plain,
% 0.50/0.68 ((v3_struct_0(C!2) | (~l1_orders_2(C!2)) | ![D: $i] : ((~m1_subset_1(D, k1_zfmisc_1(u1_struct_0(A!0)))) | ![E: $i] : ((~v1_funct_1(E)) | (~m2_relset_1(E, u1_struct_0(A!0), u1_struct_0(B!1))) | (~v1_funct_2(E, u1_struct_0(A!0), u1_struct_0(B!1))) | ![F: $i] : ((~v1_funct_1(F)) | (~m2_relset_1(F, u1_struct_0(B!1), u1_struct_0(C!2))) | (~v1_funct_2(F, u1_struct_0(B!1), u1_struct_0(C!2))) | r4_waybel_0(A!0, C!2, k7_funct_2(u1_struct_0(A!0), u1_struct_0(B!1), u1_struct_0(C!2), E, F), D) | (~r4_waybel_0(A!0, B!1, E, D)) | (~r4_waybel_0(B!1, C!2, F, k4_pre_topc(A!0, B!1, E, D))))))) <=> (v3_struct_0(C!2) | (~l1_orders_2(C!2)) | ![D: $i] : ((~m1_subset_1(D, k1_zfmisc_1(u1_struct_0(A!0)))) | ![E: $i] : ((~v1_funct_1(E)) | (~m2_relset_1(E, u1_struct_0(A!0), u1_struct_0(B!1))) | (~v1_funct_2(E, u1_struct_0(A!0), u1_struct_0(B!1))) | ![F: $i] : ((~v1_funct_1(F)) | (~r4_waybel_0(A!0, B!1, E, D)) | (~m2_relset_1(F, u1_struct_0(B!1), u1_struct_0(C!2))) | (~v1_funct_2(F, u1_struct_0(B!1), u1_struct_0(C!2))) | r4_waybel_0(A!0, C!2, k7_funct_2(u1_struct_0(A!0), u1_struct_0(B!1), u1_struct_0(C!2), E, F), D) | (~r4_waybel_0(B!1, C!2, F, k4_pre_topc(A!0, B!1, E, D)))))))),
% 0.50/0.68 inference(rewrite,[status(thm)],[])).
% 0.50/0.68 tff(282,plain,
% 0.50/0.68 (((~![C: $i] : (v3_struct_0(C) | (~l1_orders_2(C)) | ![D: $i] : ((~m1_subset_1(D, k1_zfmisc_1(u1_struct_0(A!0)))) | ![E: $i] : ((~v1_funct_1(E)) | (~m2_relset_1(E, u1_struct_0(A!0), u1_struct_0(B!1))) | (~v1_funct_2(E, u1_struct_0(A!0), u1_struct_0(B!1))) | ![F: $i] : ((~v1_funct_1(F)) | (~m2_relset_1(F, u1_struct_0(B!1), u1_struct_0(C))) | (~v1_funct_2(F, u1_struct_0(B!1), u1_struct_0(C))) | r4_waybel_0(A!0, C, k7_funct_2(u1_struct_0(A!0), u1_struct_0(B!1), u1_struct_0(C), E, F), D) | (~r4_waybel_0(A!0, B!1, E, D)) | (~r4_waybel_0(B!1, C, F, k4_pre_topc(A!0, B!1, E, D)))))))) | (v3_struct_0(C!2) | (~l1_orders_2(C!2)) | ![D: $i] : ((~m1_subset_1(D, k1_zfmisc_1(u1_struct_0(A!0)))) | ![E: $i] : ((~v1_funct_1(E)) | (~m2_relset_1(E, u1_struct_0(A!0), u1_struct_0(B!1))) | (~v1_funct_2(E, u1_struct_0(A!0), u1_struct_0(B!1))) | ![F: $i] : ((~v1_funct_1(F)) | (~m2_relset_1(F, u1_struct_0(B!1), u1_struct_0(C!2))) | (~v1_funct_2(F, u1_struct_0(B!1), u1_struct_0(C!2))) | r4_waybel_0(A!0, C!2, k7_funct_2(u1_struct_0(A!0), u1_struct_0(B!1), u1_struct_0(C!2), E, F), D) | (~r4_waybel_0(A!0, B!1, E, D)) | (~r4_waybel_0(B!1, C!2, F, k4_pre_topc(A!0, B!1, E, D)))))))) <=> ((~![C: $i] : (v3_struct_0(C) | (~l1_orders_2(C)) | ![D: $i] : ((~m1_subset_1(D, k1_zfmisc_1(u1_struct_0(A!0)))) | ![E: $i] : ((~v1_funct_1(E)) | (~m2_relset_1(E, u1_struct_0(A!0), u1_struct_0(B!1))) | (~v1_funct_2(E, u1_struct_0(A!0), u1_struct_0(B!1))) | ![F: $i] : ((~v1_funct_1(F)) | (~m2_relset_1(F, u1_struct_0(B!1), u1_struct_0(C))) | (~v1_funct_2(F, u1_struct_0(B!1), u1_struct_0(C))) | r4_waybel_0(A!0, C, k7_funct_2(u1_struct_0(A!0), u1_struct_0(B!1), u1_struct_0(C), E, F), D) | (~r4_waybel_0(A!0, B!1, E, D)) | (~r4_waybel_0(B!1, C, F, k4_pre_topc(A!0, B!1, E, D)))))))) | (v3_struct_0(C!2) | (~l1_orders_2(C!2)) | ![D: $i] : ((~m1_subset_1(D, k1_zfmisc_1(u1_struct_0(A!0)))) | ![E: $i] : ((~v1_funct_1(E)) | (~m2_relset_1(E, u1_struct_0(A!0), u1_struct_0(B!1))) | (~v1_funct_2(E, u1_struct_0(A!0), u1_struct_0(B!1))) | ![F: $i] : ((~v1_funct_1(F)) | (~r4_waybel_0(A!0, B!1, E, D)) | (~m2_relset_1(F, u1_struct_0(B!1), u1_struct_0(C!2))) | (~v1_funct_2(F, u1_struct_0(B!1), u1_struct_0(C!2))) | r4_waybel_0(A!0, C!2, k7_funct_2(u1_struct_0(A!0), u1_struct_0(B!1), u1_struct_0(C!2), E, F), D) | (~r4_waybel_0(B!1, C!2, F, k4_pre_topc(A!0, B!1, E, D))))))))),
% 0.50/0.68 inference(monotonicity,[status(thm)],[281])).
% 0.50/0.68 tff(283,plain,
% 0.50/0.68 (((~![C: $i] : (v3_struct_0(C) | (~l1_orders_2(C)) | ![D: $i] : ((~m1_subset_1(D, k1_zfmisc_1(u1_struct_0(A!0)))) | ![E: $i] : ((~v1_funct_1(E)) | (~m2_relset_1(E, u1_struct_0(A!0), u1_struct_0(B!1))) | (~v1_funct_2(E, u1_struct_0(A!0), u1_struct_0(B!1))) | ![F: $i] : ((~v1_funct_1(F)) | (~m2_relset_1(F, u1_struct_0(B!1), u1_struct_0(C))) | (~v1_funct_2(F, u1_struct_0(B!1), u1_struct_0(C))) | r4_waybel_0(A!0, C, k7_funct_2(u1_struct_0(A!0), u1_struct_0(B!1), u1_struct_0(C), E, F), D) | (~r4_waybel_0(A!0, B!1, E, D)) | (~r4_waybel_0(B!1, C, F, k4_pre_topc(A!0, B!1, E, D)))))))) | (v3_struct_0(C!2) | (~l1_orders_2(C!2)) | ![D: $i] : ((~m1_subset_1(D, k1_zfmisc_1(u1_struct_0(A!0)))) | ![E: $i] : ((~v1_funct_1(E)) | (~m2_relset_1(E, u1_struct_0(A!0), u1_struct_0(B!1))) | (~v1_funct_2(E, u1_struct_0(A!0), u1_struct_0(B!1))) | ![F: $i] : ((~v1_funct_1(F)) | (~m2_relset_1(F, u1_struct_0(B!1), u1_struct_0(C!2))) | (~v1_funct_2(F, u1_struct_0(B!1), u1_struct_0(C!2))) | r4_waybel_0(A!0, C!2, k7_funct_2(u1_struct_0(A!0), u1_struct_0(B!1), u1_struct_0(C!2), E, F), D) | (~r4_waybel_0(A!0, B!1, E, D)) | (~r4_waybel_0(B!1, C!2, F, k4_pre_topc(A!0, B!1, E, D)))))))) <=> ((~![C: $i] : (v3_struct_0(C) | (~l1_orders_2(C)) | ![D: $i] : ((~m1_subset_1(D, k1_zfmisc_1(u1_struct_0(A!0)))) | ![E: $i] : ((~v1_funct_1(E)) | (~m2_relset_1(E, u1_struct_0(A!0), u1_struct_0(B!1))) | (~v1_funct_2(E, u1_struct_0(A!0), u1_struct_0(B!1))) | ![F: $i] : ((~v1_funct_1(F)) | (~m2_relset_1(F, u1_struct_0(B!1), u1_struct_0(C))) | (~v1_funct_2(F, u1_struct_0(B!1), u1_struct_0(C))) | r4_waybel_0(A!0, C, k7_funct_2(u1_struct_0(A!0), u1_struct_0(B!1), u1_struct_0(C), E, F), D) | (~r4_waybel_0(A!0, B!1, E, D)) | (~r4_waybel_0(B!1, C, F, k4_pre_topc(A!0, B!1, E, D)))))))) | v3_struct_0(C!2) | (~l1_orders_2(C!2)) | ![D: $i] : ((~m1_subset_1(D, k1_zfmisc_1(u1_struct_0(A!0)))) | ![E: $i] : ((~v1_funct_1(E)) | (~m2_relset_1(E, u1_struct_0(A!0), u1_struct_0(B!1))) | (~v1_funct_2(E, u1_struct_0(A!0), u1_struct_0(B!1))) | ![F: $i] : ((~v1_funct_1(F)) | (~r4_waybel_0(A!0, B!1, E, D)) | (~m2_relset_1(F, u1_struct_0(B!1), u1_struct_0(C!2))) | (~v1_funct_2(F, u1_struct_0(B!1), u1_struct_0(C!2))) | r4_waybel_0(A!0, C!2, k7_funct_2(u1_struct_0(A!0), u1_struct_0(B!1), u1_struct_0(C!2), E, F), D) | (~r4_waybel_0(B!1, C!2, F, k4_pre_topc(A!0, B!1, E, D)))))))),
% 0.50/0.68 inference(transitivity,[status(thm)],[282, 280])).
% 0.50/0.68 tff(284,plain,
% 0.50/0.68 ((~![C: $i] : (v3_struct_0(C) | (~l1_orders_2(C)) | ![D: $i] : ((~m1_subset_1(D, k1_zfmisc_1(u1_struct_0(A!0)))) | ![E: $i] : ((~v1_funct_1(E)) | (~m2_relset_1(E, u1_struct_0(A!0), u1_struct_0(B!1))) | (~v1_funct_2(E, u1_struct_0(A!0), u1_struct_0(B!1))) | ![F: $i] : ((~v1_funct_1(F)) | (~m2_relset_1(F, u1_struct_0(B!1), u1_struct_0(C))) | (~v1_funct_2(F, u1_struct_0(B!1), u1_struct_0(C))) | r4_waybel_0(A!0, C, k7_funct_2(u1_struct_0(A!0), u1_struct_0(B!1), u1_struct_0(C), E, F), D) | (~r4_waybel_0(A!0, B!1, E, D)) | (~r4_waybel_0(B!1, C, F, k4_pre_topc(A!0, B!1, E, D)))))))) | (v3_struct_0(C!2) | (~l1_orders_2(C!2)) | ![D: $i] : ((~m1_subset_1(D, k1_zfmisc_1(u1_struct_0(A!0)))) | ![E: $i] : ((~v1_funct_1(E)) | (~m2_relset_1(E, u1_struct_0(A!0), u1_struct_0(B!1))) | (~v1_funct_2(E, u1_struct_0(A!0), u1_struct_0(B!1))) | ![F: $i] : ((~v1_funct_1(F)) | (~m2_relset_1(F, u1_struct_0(B!1), u1_struct_0(C!2))) | (~v1_funct_2(F, u1_struct_0(B!1), u1_struct_0(C!2))) | r4_waybel_0(A!0, C!2, k7_funct_2(u1_struct_0(A!0), u1_struct_0(B!1), u1_struct_0(C!2), E, F), D) | (~r4_waybel_0(A!0, B!1, E, D)) | (~r4_waybel_0(B!1, C!2, F, k4_pre_topc(A!0, B!1, E, D)))))))),
% 0.50/0.68 inference(quant_inst,[status(thm)],[])).
% 0.50/0.68 tff(285,plain,
% 0.50/0.68 ((~![C: $i] : (v3_struct_0(C) | (~l1_orders_2(C)) | ![D: $i] : ((~m1_subset_1(D, k1_zfmisc_1(u1_struct_0(A!0)))) | ![E: $i] : ((~v1_funct_1(E)) | (~m2_relset_1(E, u1_struct_0(A!0), u1_struct_0(B!1))) | (~v1_funct_2(E, u1_struct_0(A!0), u1_struct_0(B!1))) | ![F: $i] : ((~v1_funct_1(F)) | (~m2_relset_1(F, u1_struct_0(B!1), u1_struct_0(C))) | (~v1_funct_2(F, u1_struct_0(B!1), u1_struct_0(C))) | r4_waybel_0(A!0, C, k7_funct_2(u1_struct_0(A!0), u1_struct_0(B!1), u1_struct_0(C), E, F), D) | (~r4_waybel_0(A!0, B!1, E, D)) | (~r4_waybel_0(B!1, C, F, k4_pre_topc(A!0, B!1, E, D)))))))) | v3_struct_0(C!2) | (~l1_orders_2(C!2)) | ![D: $i] : ((~m1_subset_1(D, k1_zfmisc_1(u1_struct_0(A!0)))) | ![E: $i] : ((~v1_funct_1(E)) | (~m2_relset_1(E, u1_struct_0(A!0), u1_struct_0(B!1))) | (~v1_funct_2(E, u1_struct_0(A!0), u1_struct_0(B!1))) | ![F: $i] : ((~v1_funct_1(F)) | (~r4_waybel_0(A!0, B!1, E, D)) | (~m2_relset_1(F, u1_struct_0(B!1), u1_struct_0(C!2))) | (~v1_funct_2(F, u1_struct_0(B!1), u1_struct_0(C!2))) | r4_waybel_0(A!0, C!2, k7_funct_2(u1_struct_0(A!0), u1_struct_0(B!1), u1_struct_0(C!2), E, F), D) | (~r4_waybel_0(B!1, C!2, F, k4_pre_topc(A!0, B!1, E, D))))))),
% 0.50/0.68 inference(modus_ponens,[status(thm)],[284, 283])).
% 0.50/0.68 tff(286,plain,
% 0.50/0.68 (![D: $i] : ((~m1_subset_1(D, k1_zfmisc_1(u1_struct_0(A!0)))) | ![E: $i] : ((~v1_funct_1(E)) | (~m2_relset_1(E, u1_struct_0(A!0), u1_struct_0(B!1))) | (~v1_funct_2(E, u1_struct_0(A!0), u1_struct_0(B!1))) | ![F: $i] : ((~v1_funct_1(F)) | (~r4_waybel_0(A!0, B!1, E, D)) | (~m2_relset_1(F, u1_struct_0(B!1), u1_struct_0(C!2))) | (~v1_funct_2(F, u1_struct_0(B!1), u1_struct_0(C!2))) | r4_waybel_0(A!0, C!2, k7_funct_2(u1_struct_0(A!0), u1_struct_0(B!1), u1_struct_0(C!2), E, F), D) | (~r4_waybel_0(B!1, C!2, F, k4_pre_topc(A!0, B!1, E, D))))))),
% 0.50/0.68 inference(unit_resolution,[status(thm)],[285, 217, 216, 279])).
% 0.50/0.68 tff(287,plain,
% 0.50/0.68 (((~v1_finset_1(tptp_fun_D_5(k5_relat_1(D!3, E!4), C!2, A!0))) | (~m1_subset_1(tptp_fun_D_5(k5_relat_1(D!3, E!4), C!2, A!0), k1_zfmisc_1(u1_struct_0(A!0)))) | r4_waybel_0(A!0, C!2, k5_relat_1(D!3, E!4), tptp_fun_D_5(k5_relat_1(D!3, E!4), C!2, A!0))) | m1_subset_1(tptp_fun_D_5(k5_relat_1(D!3, E!4), C!2, A!0), k1_zfmisc_1(u1_struct_0(A!0)))),
% 0.50/0.68 inference(tautology,[status(thm)],[])).
% 0.50/0.68 tff(288,plain,
% 0.50/0.68 (m1_subset_1(tptp_fun_D_5(k5_relat_1(D!3, E!4), C!2, A!0), k1_zfmisc_1(u1_struct_0(A!0)))),
% 0.50/0.68 inference(unit_resolution,[status(thm)],[287, 246])).
% 0.50/0.68 tff(289,plain,
% 0.50/0.68 (((~![D: $i] : ((~m1_subset_1(D, k1_zfmisc_1(u1_struct_0(A!0)))) | ![E: $i] : ((~v1_funct_1(E)) | (~m2_relset_1(E, u1_struct_0(A!0), u1_struct_0(B!1))) | (~v1_funct_2(E, u1_struct_0(A!0), u1_struct_0(B!1))) | ![F: $i] : ((~v1_funct_1(F)) | (~r4_waybel_0(A!0, B!1, E, D)) | (~m2_relset_1(F, u1_struct_0(B!1), u1_struct_0(C!2))) | (~v1_funct_2(F, u1_struct_0(B!1), u1_struct_0(C!2))) | r4_waybel_0(A!0, C!2, k7_funct_2(u1_struct_0(A!0), u1_struct_0(B!1), u1_struct_0(C!2), E, F), D) | (~r4_waybel_0(B!1, C!2, F, k4_pre_topc(A!0, B!1, E, D))))))) | ((~m1_subset_1(tptp_fun_D_5(k5_relat_1(D!3, E!4), C!2, A!0), k1_zfmisc_1(u1_struct_0(A!0)))) | ![E: $i] : ((~v1_funct_1(E)) | (~m2_relset_1(E, u1_struct_0(A!0), u1_struct_0(B!1))) | (~v1_funct_2(E, u1_struct_0(A!0), u1_struct_0(B!1))) | ![F: $i] : ((~v1_funct_1(F)) | (~m2_relset_1(F, u1_struct_0(B!1), u1_struct_0(C!2))) | (~v1_funct_2(F, u1_struct_0(B!1), u1_struct_0(C!2))) | (~r4_waybel_0(A!0, B!1, E, tptp_fun_D_5(k5_relat_1(D!3, E!4), C!2, A!0))) | r4_waybel_0(A!0, C!2, k7_funct_2(u1_struct_0(A!0), u1_struct_0(B!1), u1_struct_0(C!2), E, F), tptp_fun_D_5(k5_relat_1(D!3, E!4), C!2, A!0)) | (~r4_waybel_0(B!1, C!2, F, k4_pre_topc(A!0, B!1, E, tptp_fun_D_5(k5_relat_1(D!3, E!4), C!2, A!0)))))))) <=> ((~![D: $i] : ((~m1_subset_1(D, k1_zfmisc_1(u1_struct_0(A!0)))) | ![E: $i] : ((~v1_funct_1(E)) | (~m2_relset_1(E, u1_struct_0(A!0), u1_struct_0(B!1))) | (~v1_funct_2(E, u1_struct_0(A!0), u1_struct_0(B!1))) | ![F: $i] : ((~v1_funct_1(F)) | (~r4_waybel_0(A!0, B!1, E, D)) | (~m2_relset_1(F, u1_struct_0(B!1), u1_struct_0(C!2))) | (~v1_funct_2(F, u1_struct_0(B!1), u1_struct_0(C!2))) | r4_waybel_0(A!0, C!2, k7_funct_2(u1_struct_0(A!0), u1_struct_0(B!1), u1_struct_0(C!2), E, F), D) | (~r4_waybel_0(B!1, C!2, F, k4_pre_topc(A!0, B!1, E, D))))))) | (~m1_subset_1(tptp_fun_D_5(k5_relat_1(D!3, E!4), C!2, A!0), k1_zfmisc_1(u1_struct_0(A!0)))) | ![E: $i] : ((~v1_funct_1(E)) | (~m2_relset_1(E, u1_struct_0(A!0), u1_struct_0(B!1))) | (~v1_funct_2(E, u1_struct_0(A!0), u1_struct_0(B!1))) | ![F: $i] : ((~v1_funct_1(F)) | (~m2_relset_1(F, u1_struct_0(B!1), u1_struct_0(C!2))) | (~v1_funct_2(F, u1_struct_0(B!1), u1_struct_0(C!2))) | (~r4_waybel_0(A!0, B!1, E, tptp_fun_D_5(k5_relat_1(D!3, E!4), C!2, A!0))) | r4_waybel_0(A!0, C!2, k7_funct_2(u1_struct_0(A!0), u1_struct_0(B!1), u1_struct_0(C!2), E, F), tptp_fun_D_5(k5_relat_1(D!3, E!4), C!2, A!0)) | (~r4_waybel_0(B!1, C!2, F, k4_pre_topc(A!0, B!1, E, tptp_fun_D_5(k5_relat_1(D!3, E!4), C!2, A!0)))))))),
% 0.50/0.68 inference(rewrite,[status(thm)],[])).
% 0.50/0.68 tff(290,plain,
% 0.50/0.68 (((~m1_subset_1(tptp_fun_D_5(k5_relat_1(D!3, E!4), C!2, A!0), k1_zfmisc_1(u1_struct_0(A!0)))) | ![E: $i] : ((~v1_funct_1(E)) | (~m2_relset_1(E, u1_struct_0(A!0), u1_struct_0(B!1))) | (~v1_funct_2(E, u1_struct_0(A!0), u1_struct_0(B!1))) | ![F: $i] : ((~v1_funct_1(F)) | (~r4_waybel_0(A!0, B!1, E, tptp_fun_D_5(k5_relat_1(D!3, E!4), C!2, A!0))) | (~m2_relset_1(F, u1_struct_0(B!1), u1_struct_0(C!2))) | (~v1_funct_2(F, u1_struct_0(B!1), u1_struct_0(C!2))) | r4_waybel_0(A!0, C!2, k7_funct_2(u1_struct_0(A!0), u1_struct_0(B!1), u1_struct_0(C!2), E, F), tptp_fun_D_5(k5_relat_1(D!3, E!4), C!2, A!0)) | (~r4_waybel_0(B!1, C!2, F, k4_pre_topc(A!0, B!1, E, tptp_fun_D_5(k5_relat_1(D!3, E!4), C!2, A!0))))))) <=> ((~m1_subset_1(tptp_fun_D_5(k5_relat_1(D!3, E!4), C!2, A!0), k1_zfmisc_1(u1_struct_0(A!0)))) | ![E: $i] : ((~v1_funct_1(E)) | (~m2_relset_1(E, u1_struct_0(A!0), u1_struct_0(B!1))) | (~v1_funct_2(E, u1_struct_0(A!0), u1_struct_0(B!1))) | ![F: $i] : ((~v1_funct_1(F)) | (~m2_relset_1(F, u1_struct_0(B!1), u1_struct_0(C!2))) | (~v1_funct_2(F, u1_struct_0(B!1), u1_struct_0(C!2))) | (~r4_waybel_0(A!0, B!1, E, tptp_fun_D_5(k5_relat_1(D!3, E!4), C!2, A!0))) | r4_waybel_0(A!0, C!2, k7_funct_2(u1_struct_0(A!0), u1_struct_0(B!1), u1_struct_0(C!2), E, F), tptp_fun_D_5(k5_relat_1(D!3, E!4), C!2, A!0)) | (~r4_waybel_0(B!1, C!2, F, k4_pre_topc(A!0, B!1, E, tptp_fun_D_5(k5_relat_1(D!3, E!4), C!2, A!0)))))))),
% 0.50/0.68 inference(rewrite,[status(thm)],[])).
% 0.50/0.68 tff(291,plain,
% 0.50/0.68 (((~![D: $i] : ((~m1_subset_1(D, k1_zfmisc_1(u1_struct_0(A!0)))) | ![E: $i] : ((~v1_funct_1(E)) | (~m2_relset_1(E, u1_struct_0(A!0), u1_struct_0(B!1))) | (~v1_funct_2(E, u1_struct_0(A!0), u1_struct_0(B!1))) | ![F: $i] : ((~v1_funct_1(F)) | (~r4_waybel_0(A!0, B!1, E, D)) | (~m2_relset_1(F, u1_struct_0(B!1), u1_struct_0(C!2))) | (~v1_funct_2(F, u1_struct_0(B!1), u1_struct_0(C!2))) | r4_waybel_0(A!0, C!2, k7_funct_2(u1_struct_0(A!0), u1_struct_0(B!1), u1_struct_0(C!2), E, F), D) | (~r4_waybel_0(B!1, C!2, F, k4_pre_topc(A!0, B!1, E, D))))))) | ((~m1_subset_1(tptp_fun_D_5(k5_relat_1(D!3, E!4), C!2, A!0), k1_zfmisc_1(u1_struct_0(A!0)))) | ![E: $i] : ((~v1_funct_1(E)) | (~m2_relset_1(E, u1_struct_0(A!0), u1_struct_0(B!1))) | (~v1_funct_2(E, u1_struct_0(A!0), u1_struct_0(B!1))) | ![F: $i] : ((~v1_funct_1(F)) | (~r4_waybel_0(A!0, B!1, E, tptp_fun_D_5(k5_relat_1(D!3, E!4), C!2, A!0))) | (~m2_relset_1(F, u1_struct_0(B!1), u1_struct_0(C!2))) | (~v1_funct_2(F, u1_struct_0(B!1), u1_struct_0(C!2))) | r4_waybel_0(A!0, C!2, k7_funct_2(u1_struct_0(A!0), u1_struct_0(B!1), u1_struct_0(C!2), E, F), tptp_fun_D_5(k5_relat_1(D!3, E!4), C!2, A!0)) | (~r4_waybel_0(B!1, C!2, F, k4_pre_topc(A!0, B!1, E, tptp_fun_D_5(k5_relat_1(D!3, E!4), C!2, A!0)))))))) <=> ((~![D: $i] : ((~m1_subset_1(D, k1_zfmisc_1(u1_struct_0(A!0)))) | ![E: $i] : ((~v1_funct_1(E)) | (~m2_relset_1(E, u1_struct_0(A!0), u1_struct_0(B!1))) | (~v1_funct_2(E, u1_struct_0(A!0), u1_struct_0(B!1))) | ![F: $i] : ((~v1_funct_1(F)) | (~r4_waybel_0(A!0, B!1, E, D)) | (~m2_relset_1(F, u1_struct_0(B!1), u1_struct_0(C!2))) | (~v1_funct_2(F, u1_struct_0(B!1), u1_struct_0(C!2))) | r4_waybel_0(A!0, C!2, k7_funct_2(u1_struct_0(A!0), u1_struct_0(B!1), u1_struct_0(C!2), E, F), D) | (~r4_waybel_0(B!1, C!2, F, k4_pre_topc(A!0, B!1, E, D))))))) | ((~m1_subset_1(tptp_fun_D_5(k5_relat_1(D!3, E!4), C!2, A!0), k1_zfmisc_1(u1_struct_0(A!0)))) | ![E: $i] : ((~v1_funct_1(E)) | (~m2_relset_1(E, u1_struct_0(A!0), u1_struct_0(B!1))) | (~v1_funct_2(E, u1_struct_0(A!0), u1_struct_0(B!1))) | ![F: $i] : ((~v1_funct_1(F)) | (~m2_relset_1(F, u1_struct_0(B!1), u1_struct_0(C!2))) | (~v1_funct_2(F, u1_struct_0(B!1), u1_struct_0(C!2))) | (~r4_waybel_0(A!0, B!1, E, tptp_fun_D_5(k5_relat_1(D!3, E!4), C!2, A!0))) | r4_waybel_0(A!0, C!2, k7_funct_2(u1_struct_0(A!0), u1_struct_0(B!1), u1_struct_0(C!2), E, F), tptp_fun_D_5(k5_relat_1(D!3, E!4), C!2, A!0)) | (~r4_waybel_0(B!1, C!2, F, k4_pre_topc(A!0, B!1, E, tptp_fun_D_5(k5_relat_1(D!3, E!4), C!2, A!0))))))))),
% 0.50/0.69 inference(monotonicity,[status(thm)],[290])).
% 0.50/0.69 tff(292,plain,
% 0.50/0.69 (((~![D: $i] : ((~m1_subset_1(D, k1_zfmisc_1(u1_struct_0(A!0)))) | ![E: $i] : ((~v1_funct_1(E)) | (~m2_relset_1(E, u1_struct_0(A!0), u1_struct_0(B!1))) | (~v1_funct_2(E, u1_struct_0(A!0), u1_struct_0(B!1))) | ![F: $i] : ((~v1_funct_1(F)) | (~r4_waybel_0(A!0, B!1, E, D)) | (~m2_relset_1(F, u1_struct_0(B!1), u1_struct_0(C!2))) | (~v1_funct_2(F, u1_struct_0(B!1), u1_struct_0(C!2))) | r4_waybel_0(A!0, C!2, k7_funct_2(u1_struct_0(A!0), u1_struct_0(B!1), u1_struct_0(C!2), E, F), D) | (~r4_waybel_0(B!1, C!2, F, k4_pre_topc(A!0, B!1, E, D))))))) | ((~m1_subset_1(tptp_fun_D_5(k5_relat_1(D!3, E!4), C!2, A!0), k1_zfmisc_1(u1_struct_0(A!0)))) | ![E: $i] : ((~v1_funct_1(E)) | (~m2_relset_1(E, u1_struct_0(A!0), u1_struct_0(B!1))) | (~v1_funct_2(E, u1_struct_0(A!0), u1_struct_0(B!1))) | ![F: $i] : ((~v1_funct_1(F)) | (~r4_waybel_0(A!0, B!1, E, tptp_fun_D_5(k5_relat_1(D!3, E!4), C!2, A!0))) | (~m2_relset_1(F, u1_struct_0(B!1), u1_struct_0(C!2))) | (~v1_funct_2(F, u1_struct_0(B!1), u1_struct_0(C!2))) | r4_waybel_0(A!0, C!2, k7_funct_2(u1_struct_0(A!0), u1_struct_0(B!1), u1_struct_0(C!2), E, F), tptp_fun_D_5(k5_relat_1(D!3, E!4), C!2, A!0)) | (~r4_waybel_0(B!1, C!2, F, k4_pre_topc(A!0, B!1, E, tptp_fun_D_5(k5_relat_1(D!3, E!4), C!2, A!0)))))))) <=> ((~![D: $i] : ((~m1_subset_1(D, k1_zfmisc_1(u1_struct_0(A!0)))) | ![E: $i] : ((~v1_funct_1(E)) | (~m2_relset_1(E, u1_struct_0(A!0), u1_struct_0(B!1))) | (~v1_funct_2(E, u1_struct_0(A!0), u1_struct_0(B!1))) | ![F: $i] : ((~v1_funct_1(F)) | (~r4_waybel_0(A!0, B!1, E, D)) | (~m2_relset_1(F, u1_struct_0(B!1), u1_struct_0(C!2))) | (~v1_funct_2(F, u1_struct_0(B!1), u1_struct_0(C!2))) | r4_waybel_0(A!0, C!2, k7_funct_2(u1_struct_0(A!0), u1_struct_0(B!1), u1_struct_0(C!2), E, F), D) | (~r4_waybel_0(B!1, C!2, F, k4_pre_topc(A!0, B!1, E, D))))))) | (~m1_subset_1(tptp_fun_D_5(k5_relat_1(D!3, E!4), C!2, A!0), k1_zfmisc_1(u1_struct_0(A!0)))) | ![E: $i] : ((~v1_funct_1(E)) | (~m2_relset_1(E, u1_struct_0(A!0), u1_struct_0(B!1))) | (~v1_funct_2(E, u1_struct_0(A!0), u1_struct_0(B!1))) | ![F: $i] : ((~v1_funct_1(F)) | (~m2_relset_1(F, u1_struct_0(B!1), u1_struct_0(C!2))) | (~v1_funct_2(F, u1_struct_0(B!1), u1_struct_0(C!2))) | (~r4_waybel_0(A!0, B!1, E, tptp_fun_D_5(k5_relat_1(D!3, E!4), C!2, A!0))) | r4_waybel_0(A!0, C!2, k7_funct_2(u1_struct_0(A!0), u1_struct_0(B!1), u1_struct_0(C!2), E, F), tptp_fun_D_5(k5_relat_1(D!3, E!4), C!2, A!0)) | (~r4_waybel_0(B!1, C!2, F, k4_pre_topc(A!0, B!1, E, tptp_fun_D_5(k5_relat_1(D!3, E!4), C!2, A!0)))))))),
% 0.50/0.69 inference(transitivity,[status(thm)],[291, 289])).
% 0.50/0.69 tff(293,plain,
% 0.50/0.69 ((~![D: $i] : ((~m1_subset_1(D, k1_zfmisc_1(u1_struct_0(A!0)))) | ![E: $i] : ((~v1_funct_1(E)) | (~m2_relset_1(E, u1_struct_0(A!0), u1_struct_0(B!1))) | (~v1_funct_2(E, u1_struct_0(A!0), u1_struct_0(B!1))) | ![F: $i] : ((~v1_funct_1(F)) | (~r4_waybel_0(A!0, B!1, E, D)) | (~m2_relset_1(F, u1_struct_0(B!1), u1_struct_0(C!2))) | (~v1_funct_2(F, u1_struct_0(B!1), u1_struct_0(C!2))) | r4_waybel_0(A!0, C!2, k7_funct_2(u1_struct_0(A!0), u1_struct_0(B!1), u1_struct_0(C!2), E, F), D) | (~r4_waybel_0(B!1, C!2, F, k4_pre_topc(A!0, B!1, E, D))))))) | ((~m1_subset_1(tptp_fun_D_5(k5_relat_1(D!3, E!4), C!2, A!0), k1_zfmisc_1(u1_struct_0(A!0)))) | ![E: $i] : ((~v1_funct_1(E)) | (~m2_relset_1(E, u1_struct_0(A!0), u1_struct_0(B!1))) | (~v1_funct_2(E, u1_struct_0(A!0), u1_struct_0(B!1))) | ![F: $i] : ((~v1_funct_1(F)) | (~r4_waybel_0(A!0, B!1, E, tptp_fun_D_5(k5_relat_1(D!3, E!4), C!2, A!0))) | (~m2_relset_1(F, u1_struct_0(B!1), u1_struct_0(C!2))) | (~v1_funct_2(F, u1_struct_0(B!1), u1_struct_0(C!2))) | r4_waybel_0(A!0, C!2, k7_funct_2(u1_struct_0(A!0), u1_struct_0(B!1), u1_struct_0(C!2), E, F), tptp_fun_D_5(k5_relat_1(D!3, E!4), C!2, A!0)) | (~r4_waybel_0(B!1, C!2, F, k4_pre_topc(A!0, B!1, E, tptp_fun_D_5(k5_relat_1(D!3, E!4), C!2, A!0)))))))),
% 0.50/0.69 inference(quant_inst,[status(thm)],[])).
% 0.50/0.69 tff(294,plain,
% 0.50/0.69 ((~![D: $i] : ((~m1_subset_1(D, k1_zfmisc_1(u1_struct_0(A!0)))) | ![E: $i] : ((~v1_funct_1(E)) | (~m2_relset_1(E, u1_struct_0(A!0), u1_struct_0(B!1))) | (~v1_funct_2(E, u1_struct_0(A!0), u1_struct_0(B!1))) | ![F: $i] : ((~v1_funct_1(F)) | (~r4_waybel_0(A!0, B!1, E, D)) | (~m2_relset_1(F, u1_struct_0(B!1), u1_struct_0(C!2))) | (~v1_funct_2(F, u1_struct_0(B!1), u1_struct_0(C!2))) | r4_waybel_0(A!0, C!2, k7_funct_2(u1_struct_0(A!0), u1_struct_0(B!1), u1_struct_0(C!2), E, F), D) | (~r4_waybel_0(B!1, C!2, F, k4_pre_topc(A!0, B!1, E, D))))))) | (~m1_subset_1(tptp_fun_D_5(k5_relat_1(D!3, E!4), C!2, A!0), k1_zfmisc_1(u1_struct_0(A!0)))) | ![E: $i] : ((~v1_funct_1(E)) | (~m2_relset_1(E, u1_struct_0(A!0), u1_struct_0(B!1))) | (~v1_funct_2(E, u1_struct_0(A!0), u1_struct_0(B!1))) | ![F: $i] : ((~v1_funct_1(F)) | (~m2_relset_1(F, u1_struct_0(B!1), u1_struct_0(C!2))) | (~v1_funct_2(F, u1_struct_0(B!1), u1_struct_0(C!2))) | (~r4_waybel_0(A!0, B!1, E, tptp_fun_D_5(k5_relat_1(D!3, E!4), C!2, A!0))) | r4_waybel_0(A!0, C!2, k7_funct_2(u1_struct_0(A!0), u1_struct_0(B!1), u1_struct_0(C!2), E, F), tptp_fun_D_5(k5_relat_1(D!3, E!4), C!2, A!0)) | (~r4_waybel_0(B!1, C!2, F, k4_pre_topc(A!0, B!1, E, tptp_fun_D_5(k5_relat_1(D!3, E!4), C!2, A!0))))))),
% 0.50/0.69 inference(modus_ponens,[status(thm)],[293, 292])).
% 0.50/0.69 tff(295,plain,
% 0.50/0.69 (![E: $i] : ((~v1_funct_1(E)) | (~m2_relset_1(E, u1_struct_0(A!0), u1_struct_0(B!1))) | (~v1_funct_2(E, u1_struct_0(A!0), u1_struct_0(B!1))) | ![F: $i] : ((~v1_funct_1(F)) | (~m2_relset_1(F, u1_struct_0(B!1), u1_struct_0(C!2))) | (~v1_funct_2(F, u1_struct_0(B!1), u1_struct_0(C!2))) | (~r4_waybel_0(A!0, B!1, E, tptp_fun_D_5(k5_relat_1(D!3, E!4), C!2, A!0))) | r4_waybel_0(A!0, C!2, k7_funct_2(u1_struct_0(A!0), u1_struct_0(B!1), u1_struct_0(C!2), E, F), tptp_fun_D_5(k5_relat_1(D!3, E!4), C!2, A!0)) | (~r4_waybel_0(B!1, C!2, F, k4_pre_topc(A!0, B!1, E, tptp_fun_D_5(k5_relat_1(D!3, E!4), C!2, A!0))))))),
% 0.50/0.69 inference(unit_resolution,[status(thm)],[294, 288, 286])).
% 0.50/0.69 tff(296,plain,
% 0.50/0.69 (((~![E: $i] : ((~v1_funct_1(E)) | (~m2_relset_1(E, u1_struct_0(A!0), u1_struct_0(B!1))) | (~v1_funct_2(E, u1_struct_0(A!0), u1_struct_0(B!1))) | ![F: $i] : ((~v1_funct_1(F)) | (~m2_relset_1(F, u1_struct_0(B!1), u1_struct_0(C!2))) | (~v1_funct_2(F, u1_struct_0(B!1), u1_struct_0(C!2))) | (~r4_waybel_0(A!0, B!1, E, tptp_fun_D_5(k5_relat_1(D!3, E!4), C!2, A!0))) | r4_waybel_0(A!0, C!2, k7_funct_2(u1_struct_0(A!0), u1_struct_0(B!1), u1_struct_0(C!2), E, F), tptp_fun_D_5(k5_relat_1(D!3, E!4), C!2, A!0)) | (~r4_waybel_0(B!1, C!2, F, k4_pre_topc(A!0, B!1, E, tptp_fun_D_5(k5_relat_1(D!3, E!4), C!2, A!0))))))) | ((~v1_funct_1(D!3)) | (~m2_relset_1(D!3, u1_struct_0(A!0), u1_struct_0(B!1))) | (~v1_funct_2(D!3, u1_struct_0(A!0), u1_struct_0(B!1))) | ![F: $i] : ((~v1_funct_1(F)) | (~m2_relset_1(F, u1_struct_0(B!1), u1_struct_0(C!2))) | (~v1_funct_2(F, u1_struct_0(B!1), u1_struct_0(C!2))) | (~r4_waybel_0(A!0, B!1, D!3, tptp_fun_D_5(k5_relat_1(D!3, E!4), C!2, A!0))) | r4_waybel_0(A!0, C!2, k7_funct_2(u1_struct_0(A!0), u1_struct_0(B!1), u1_struct_0(C!2), D!3, F), tptp_fun_D_5(k5_relat_1(D!3, E!4), C!2, A!0)) | (~r4_waybel_0(B!1, C!2, F, k4_pre_topc(A!0, B!1, D!3, tptp_fun_D_5(k5_relat_1(D!3, E!4), C!2, A!0))))))) <=> ((~![E: $i] : ((~v1_funct_1(E)) | (~m2_relset_1(E, u1_struct_0(A!0), u1_struct_0(B!1))) | (~v1_funct_2(E, u1_struct_0(A!0), u1_struct_0(B!1))) | ![F: $i] : ((~v1_funct_1(F)) | (~m2_relset_1(F, u1_struct_0(B!1), u1_struct_0(C!2))) | (~v1_funct_2(F, u1_struct_0(B!1), u1_struct_0(C!2))) | (~r4_waybel_0(A!0, B!1, E, tptp_fun_D_5(k5_relat_1(D!3, E!4), C!2, A!0))) | r4_waybel_0(A!0, C!2, k7_funct_2(u1_struct_0(A!0), u1_struct_0(B!1), u1_struct_0(C!2), E, F), tptp_fun_D_5(k5_relat_1(D!3, E!4), C!2, A!0)) | (~r4_waybel_0(B!1, C!2, F, k4_pre_topc(A!0, B!1, E, tptp_fun_D_5(k5_relat_1(D!3, E!4), C!2, A!0))))))) | (~v1_funct_1(D!3)) | (~m2_relset_1(D!3, u1_struct_0(A!0), u1_struct_0(B!1))) | (~v1_funct_2(D!3, u1_struct_0(A!0), u1_struct_0(B!1))) | ![F: $i] : ((~v1_funct_1(F)) | (~m2_relset_1(F, u1_struct_0(B!1), u1_struct_0(C!2))) | (~v1_funct_2(F, u1_struct_0(B!1), u1_struct_0(C!2))) | (~r4_waybel_0(A!0, B!1, D!3, tptp_fun_D_5(k5_relat_1(D!3, E!4), C!2, A!0))) | r4_waybel_0(A!0, C!2, k7_funct_2(u1_struct_0(A!0), u1_struct_0(B!1), u1_struct_0(C!2), D!3, F), tptp_fun_D_5(k5_relat_1(D!3, E!4), C!2, A!0)) | (~r4_waybel_0(B!1, C!2, F, k4_pre_topc(A!0, B!1, D!3, tptp_fun_D_5(k5_relat_1(D!3, E!4), C!2, A!0))))))),
% 0.50/0.69 inference(rewrite,[status(thm)],[])).
% 0.50/0.69 tff(297,plain,
% 0.50/0.69 ((~![E: $i] : ((~v1_funct_1(E)) | (~m2_relset_1(E, u1_struct_0(A!0), u1_struct_0(B!1))) | (~v1_funct_2(E, u1_struct_0(A!0), u1_struct_0(B!1))) | ![F: $i] : ((~v1_funct_1(F)) | (~m2_relset_1(F, u1_struct_0(B!1), u1_struct_0(C!2))) | (~v1_funct_2(F, u1_struct_0(B!1), u1_struct_0(C!2))) | (~r4_waybel_0(A!0, B!1, E, tptp_fun_D_5(k5_relat_1(D!3, E!4), C!2, A!0))) | r4_waybel_0(A!0, C!2, k7_funct_2(u1_struct_0(A!0), u1_struct_0(B!1), u1_struct_0(C!2), E, F), tptp_fun_D_5(k5_relat_1(D!3, E!4), C!2, A!0)) | (~r4_waybel_0(B!1, C!2, F, k4_pre_topc(A!0, B!1, E, tptp_fun_D_5(k5_relat_1(D!3, E!4), C!2, A!0))))))) | ((~v1_funct_1(D!3)) | (~m2_relset_1(D!3, u1_struct_0(A!0), u1_struct_0(B!1))) | (~v1_funct_2(D!3, u1_struct_0(A!0), u1_struct_0(B!1))) | ![F: $i] : ((~v1_funct_1(F)) | (~m2_relset_1(F, u1_struct_0(B!1), u1_struct_0(C!2))) | (~v1_funct_2(F, u1_struct_0(B!1), u1_struct_0(C!2))) | (~r4_waybel_0(A!0, B!1, D!3, tptp_fun_D_5(k5_relat_1(D!3, E!4), C!2, A!0))) | r4_waybel_0(A!0, C!2, k7_funct_2(u1_struct_0(A!0), u1_struct_0(B!1), u1_struct_0(C!2), D!3, F), tptp_fun_D_5(k5_relat_1(D!3, E!4), C!2, A!0)) | (~r4_waybel_0(B!1, C!2, F, k4_pre_topc(A!0, B!1, D!3, tptp_fun_D_5(k5_relat_1(D!3, E!4), C!2, A!0))))))),
% 0.50/0.69 inference(quant_inst,[status(thm)],[])).
% 0.50/0.69 tff(298,plain,
% 0.50/0.69 ((~![E: $i] : ((~v1_funct_1(E)) | (~m2_relset_1(E, u1_struct_0(A!0), u1_struct_0(B!1))) | (~v1_funct_2(E, u1_struct_0(A!0), u1_struct_0(B!1))) | ![F: $i] : ((~v1_funct_1(F)) | (~m2_relset_1(F, u1_struct_0(B!1), u1_struct_0(C!2))) | (~v1_funct_2(F, u1_struct_0(B!1), u1_struct_0(C!2))) | (~r4_waybel_0(A!0, B!1, E, tptp_fun_D_5(k5_relat_1(D!3, E!4), C!2, A!0))) | r4_waybel_0(A!0, C!2, k7_funct_2(u1_struct_0(A!0), u1_struct_0(B!1), u1_struct_0(C!2), E, F), tptp_fun_D_5(k5_relat_1(D!3, E!4), C!2, A!0)) | (~r4_waybel_0(B!1, C!2, F, k4_pre_topc(A!0, B!1, E, tptp_fun_D_5(k5_relat_1(D!3, E!4), C!2, A!0))))))) | (~v1_funct_1(D!3)) | (~m2_relset_1(D!3, u1_struct_0(A!0), u1_struct_0(B!1))) | (~v1_funct_2(D!3, u1_struct_0(A!0), u1_struct_0(B!1))) | ![F: $i] : ((~v1_funct_1(F)) | (~m2_relset_1(F, u1_struct_0(B!1), u1_struct_0(C!2))) | (~v1_funct_2(F, u1_struct_0(B!1), u1_struct_0(C!2))) | (~r4_waybel_0(A!0, B!1, D!3, tptp_fun_D_5(k5_relat_1(D!3, E!4), C!2, A!0))) | r4_waybel_0(A!0, C!2, k7_funct_2(u1_struct_0(A!0), u1_struct_0(B!1), u1_struct_0(C!2), D!3, F), tptp_fun_D_5(k5_relat_1(D!3, E!4), C!2, A!0)) | (~r4_waybel_0(B!1, C!2, F, k4_pre_topc(A!0, B!1, D!3, tptp_fun_D_5(k5_relat_1(D!3, E!4), C!2, A!0)))))),
% 0.50/0.69 inference(modus_ponens,[status(thm)],[297, 296])).
% 0.50/0.69 tff(299,plain,
% 0.50/0.69 (![F: $i] : ((~v1_funct_1(F)) | (~m2_relset_1(F, u1_struct_0(B!1), u1_struct_0(C!2))) | (~v1_funct_2(F, u1_struct_0(B!1), u1_struct_0(C!2))) | (~r4_waybel_0(A!0, B!1, D!3, tptp_fun_D_5(k5_relat_1(D!3, E!4), C!2, A!0))) | r4_waybel_0(A!0, C!2, k7_funct_2(u1_struct_0(A!0), u1_struct_0(B!1), u1_struct_0(C!2), D!3, F), tptp_fun_D_5(k5_relat_1(D!3, E!4), C!2, A!0)) | (~r4_waybel_0(B!1, C!2, F, k4_pre_topc(A!0, B!1, D!3, tptp_fun_D_5(k5_relat_1(D!3, E!4), C!2, A!0)))))),
% 0.50/0.69 inference(unit_resolution,[status(thm)],[298, 69, 68, 31, 295])).
% 0.50/0.69 tff(300,plain,
% 0.50/0.69 (((~v1_finset_1(tptp_fun_D_5(k5_relat_1(D!3, E!4), C!2, A!0))) | (~m1_subset_1(tptp_fun_D_5(k5_relat_1(D!3, E!4), C!2, A!0), k1_zfmisc_1(u1_struct_0(A!0)))) | r4_waybel_0(A!0, C!2, k5_relat_1(D!3, E!4), tptp_fun_D_5(k5_relat_1(D!3, E!4), C!2, A!0))) | v1_finset_1(tptp_fun_D_5(k5_relat_1(D!3, E!4), C!2, A!0))),
% 0.50/0.69 inference(tautology,[status(thm)],[])).
% 0.50/0.69 tff(301,plain,
% 0.50/0.69 (v1_finset_1(tptp_fun_D_5(k5_relat_1(D!3, E!4), C!2, A!0))),
% 0.50/0.69 inference(unit_resolution,[status(thm)],[300, 246])).
% 0.50/0.69 tff(302,plain,
% 0.50/0.69 (((~![B: $i] : (v3_struct_0(B) | (~l1_orders_2(B)) | ![C: $i] : ((~v1_funct_1(C)) | (~m2_relset_1(C, u1_struct_0(A!0), u1_struct_0(B))) | (~v1_funct_2(C, u1_struct_0(A!0), u1_struct_0(B))) | (~((~((~v4_waybel34(C, A!0, B)) | ![D: $i] : ((~v1_finset_1(D)) | (~m1_subset_1(D, k1_zfmisc_1(u1_struct_0(A!0)))) | r4_waybel_0(A!0, B, C, D)))) | (~(v4_waybel34(C, A!0, B) | (~((~m1_subset_1(tptp_fun_D_5(C, B, A!0), k1_zfmisc_1(u1_struct_0(A!0)))) | (~v1_finset_1(tptp_fun_D_5(C, B, A!0))) | r4_waybel_0(A!0, B, C, tptp_fun_D_5(C, B, A!0))))))))))) | (v3_struct_0(B!1) | (~l1_orders_2(B!1)) | ![C: $i] : ((~v1_funct_1(C)) | (~m2_relset_1(C, u1_struct_0(A!0), u1_struct_0(B!1))) | (~v1_funct_2(C, u1_struct_0(A!0), u1_struct_0(B!1))) | (~((~((~v4_waybel34(C, A!0, B!1)) | ![D: $i] : ((~v1_finset_1(D)) | (~m1_subset_1(D, k1_zfmisc_1(u1_struct_0(A!0)))) | r4_waybel_0(A!0, B!1, C, D)))) | (~(v4_waybel34(C, A!0, B!1) | (~((~v1_finset_1(tptp_fun_D_5(C, B!1, A!0))) | r4_waybel_0(A!0, B!1, C, tptp_fun_D_5(C, B!1, A!0)) | (~m1_subset_1(tptp_fun_D_5(C, B!1, A!0), k1_zfmisc_1(u1_struct_0(A!0))))))))))))) <=> ((~![B: $i] : (v3_struct_0(B) | (~l1_orders_2(B)) | ![C: $i] : ((~v1_funct_1(C)) | (~m2_relset_1(C, u1_struct_0(A!0), u1_struct_0(B))) | (~v1_funct_2(C, u1_struct_0(A!0), u1_struct_0(B))) | (~((~((~v4_waybel34(C, A!0, B)) | ![D: $i] : ((~v1_finset_1(D)) | (~m1_subset_1(D, k1_zfmisc_1(u1_struct_0(A!0)))) | r4_waybel_0(A!0, B, C, D)))) | (~(v4_waybel34(C, A!0, B) | (~((~m1_subset_1(tptp_fun_D_5(C, B, A!0), k1_zfmisc_1(u1_struct_0(A!0)))) | (~v1_finset_1(tptp_fun_D_5(C, B, A!0))) | r4_waybel_0(A!0, B, C, tptp_fun_D_5(C, B, A!0))))))))))) | v3_struct_0(B!1) | (~l1_orders_2(B!1)) | ![C: $i] : ((~v1_funct_1(C)) | (~m2_relset_1(C, u1_struct_0(A!0), u1_struct_0(B!1))) | (~v1_funct_2(C, u1_struct_0(A!0), u1_struct_0(B!1))) | (~((~((~v4_waybel34(C, A!0, B!1)) | ![D: $i] : ((~v1_finset_1(D)) | (~m1_subset_1(D, k1_zfmisc_1(u1_struct_0(A!0)))) | r4_waybel_0(A!0, B!1, C, D)))) | (~(v4_waybel34(C, A!0, B!1) | (~((~v1_finset_1(tptp_fun_D_5(C, B!1, A!0))) | r4_waybel_0(A!0, B!1, C, tptp_fun_D_5(C, B!1, A!0)) | (~m1_subset_1(tptp_fun_D_5(C, B!1, A!0), k1_zfmisc_1(u1_struct_0(A!0))))))))))))),
% 0.50/0.69 inference(rewrite,[status(thm)],[])).
% 0.50/0.69 tff(303,plain,
% 0.50/0.69 ((v3_struct_0(B!1) | (~l1_orders_2(B!1)) | ![C: $i] : ((~v1_funct_1(C)) | (~m2_relset_1(C, u1_struct_0(A!0), u1_struct_0(B!1))) | (~v1_funct_2(C, u1_struct_0(A!0), u1_struct_0(B!1))) | (~((~((~v4_waybel34(C, A!0, B!1)) | ![D: $i] : ((~v1_finset_1(D)) | (~m1_subset_1(D, k1_zfmisc_1(u1_struct_0(A!0)))) | r4_waybel_0(A!0, B!1, C, D)))) | (~(v4_waybel34(C, A!0, B!1) | (~((~m1_subset_1(tptp_fun_D_5(C, B!1, A!0), k1_zfmisc_1(u1_struct_0(A!0)))) | (~v1_finset_1(tptp_fun_D_5(C, B!1, A!0))) | r4_waybel_0(A!0, B!1, C, tptp_fun_D_5(C, B!1, A!0)))))))))) <=> (v3_struct_0(B!1) | (~l1_orders_2(B!1)) | ![C: $i] : ((~v1_funct_1(C)) | (~m2_relset_1(C, u1_struct_0(A!0), u1_struct_0(B!1))) | (~v1_funct_2(C, u1_struct_0(A!0), u1_struct_0(B!1))) | (~((~((~v4_waybel34(C, A!0, B!1)) | ![D: $i] : ((~v1_finset_1(D)) | (~m1_subset_1(D, k1_zfmisc_1(u1_struct_0(A!0)))) | r4_waybel_0(A!0, B!1, C, D)))) | (~(v4_waybel34(C, A!0, B!1) | (~((~v1_finset_1(tptp_fun_D_5(C, B!1, A!0))) | r4_waybel_0(A!0, B!1, C, tptp_fun_D_5(C, B!1, A!0)) | (~m1_subset_1(tptp_fun_D_5(C, B!1, A!0), k1_zfmisc_1(u1_struct_0(A!0))))))))))))),
% 0.50/0.69 inference(rewrite,[status(thm)],[])).
% 0.50/0.69 tff(304,plain,
% 0.50/0.69 (((~![B: $i] : (v3_struct_0(B) | (~l1_orders_2(B)) | ![C: $i] : ((~v1_funct_1(C)) | (~m2_relset_1(C, u1_struct_0(A!0), u1_struct_0(B))) | (~v1_funct_2(C, u1_struct_0(A!0), u1_struct_0(B))) | (~((~((~v4_waybel34(C, A!0, B)) | ![D: $i] : ((~v1_finset_1(D)) | (~m1_subset_1(D, k1_zfmisc_1(u1_struct_0(A!0)))) | r4_waybel_0(A!0, B, C, D)))) | (~(v4_waybel34(C, A!0, B) | (~((~m1_subset_1(tptp_fun_D_5(C, B, A!0), k1_zfmisc_1(u1_struct_0(A!0)))) | (~v1_finset_1(tptp_fun_D_5(C, B, A!0))) | r4_waybel_0(A!0, B, C, tptp_fun_D_5(C, B, A!0))))))))))) | (v3_struct_0(B!1) | (~l1_orders_2(B!1)) | ![C: $i] : ((~v1_funct_1(C)) | (~m2_relset_1(C, u1_struct_0(A!0), u1_struct_0(B!1))) | (~v1_funct_2(C, u1_struct_0(A!0), u1_struct_0(B!1))) | (~((~((~v4_waybel34(C, A!0, B!1)) | ![D: $i] : ((~v1_finset_1(D)) | (~m1_subset_1(D, k1_zfmisc_1(u1_struct_0(A!0)))) | r4_waybel_0(A!0, B!1, C, D)))) | (~(v4_waybel34(C, A!0, B!1) | (~((~m1_subset_1(tptp_fun_D_5(C, B!1, A!0), k1_zfmisc_1(u1_struct_0(A!0)))) | (~v1_finset_1(tptp_fun_D_5(C, B!1, A!0))) | r4_waybel_0(A!0, B!1, C, tptp_fun_D_5(C, B!1, A!0))))))))))) <=> ((~![B: $i] : (v3_struct_0(B) | (~l1_orders_2(B)) | ![C: $i] : ((~v1_funct_1(C)) | (~m2_relset_1(C, u1_struct_0(A!0), u1_struct_0(B))) | (~v1_funct_2(C, u1_struct_0(A!0), u1_struct_0(B))) | (~((~((~v4_waybel34(C, A!0, B)) | ![D: $i] : ((~v1_finset_1(D)) | (~m1_subset_1(D, k1_zfmisc_1(u1_struct_0(A!0)))) | r4_waybel_0(A!0, B, C, D)))) | (~(v4_waybel34(C, A!0, B) | (~((~m1_subset_1(tptp_fun_D_5(C, B, A!0), k1_zfmisc_1(u1_struct_0(A!0)))) | (~v1_finset_1(tptp_fun_D_5(C, B, A!0))) | r4_waybel_0(A!0, B, C, tptp_fun_D_5(C, B, A!0))))))))))) | (v3_struct_0(B!1) | (~l1_orders_2(B!1)) | ![C: $i] : ((~v1_funct_1(C)) | (~m2_relset_1(C, u1_struct_0(A!0), u1_struct_0(B!1))) | (~v1_funct_2(C, u1_struct_0(A!0), u1_struct_0(B!1))) | (~((~((~v4_waybel34(C, A!0, B!1)) | ![D: $i] : ((~v1_finset_1(D)) | (~m1_subset_1(D, k1_zfmisc_1(u1_struct_0(A!0)))) | r4_waybel_0(A!0, B!1, C, D)))) | (~(v4_waybel34(C, A!0, B!1) | (~((~v1_finset_1(tptp_fun_D_5(C, B!1, A!0))) | r4_waybel_0(A!0, B!1, C, tptp_fun_D_5(C, B!1, A!0)) | (~m1_subset_1(tptp_fun_D_5(C, B!1, A!0), k1_zfmisc_1(u1_struct_0(A!0)))))))))))))),
% 0.50/0.69 inference(monotonicity,[status(thm)],[303])).
% 0.50/0.69 tff(305,plain,
% 0.50/0.69 (((~![B: $i] : (v3_struct_0(B) | (~l1_orders_2(B)) | ![C: $i] : ((~v1_funct_1(C)) | (~m2_relset_1(C, u1_struct_0(A!0), u1_struct_0(B))) | (~v1_funct_2(C, u1_struct_0(A!0), u1_struct_0(B))) | (~((~((~v4_waybel34(C, A!0, B)) | ![D: $i] : ((~v1_finset_1(D)) | (~m1_subset_1(D, k1_zfmisc_1(u1_struct_0(A!0)))) | r4_waybel_0(A!0, B, C, D)))) | (~(v4_waybel34(C, A!0, B) | (~((~m1_subset_1(tptp_fun_D_5(C, B, A!0), k1_zfmisc_1(u1_struct_0(A!0)))) | (~v1_finset_1(tptp_fun_D_5(C, B, A!0))) | r4_waybel_0(A!0, B, C, tptp_fun_D_5(C, B, A!0))))))))))) | (v3_struct_0(B!1) | (~l1_orders_2(B!1)) | ![C: $i] : ((~v1_funct_1(C)) | (~m2_relset_1(C, u1_struct_0(A!0), u1_struct_0(B!1))) | (~v1_funct_2(C, u1_struct_0(A!0), u1_struct_0(B!1))) | (~((~((~v4_waybel34(C, A!0, B!1)) | ![D: $i] : ((~v1_finset_1(D)) | (~m1_subset_1(D, k1_zfmisc_1(u1_struct_0(A!0)))) | r4_waybel_0(A!0, B!1, C, D)))) | (~(v4_waybel34(C, A!0, B!1) | (~((~m1_subset_1(tptp_fun_D_5(C, B!1, A!0), k1_zfmisc_1(u1_struct_0(A!0)))) | (~v1_finset_1(tptp_fun_D_5(C, B!1, A!0))) | r4_waybel_0(A!0, B!1, C, tptp_fun_D_5(C, B!1, A!0))))))))))) <=> ((~![B: $i] : (v3_struct_0(B) | (~l1_orders_2(B)) | ![C: $i] : ((~v1_funct_1(C)) | (~m2_relset_1(C, u1_struct_0(A!0), u1_struct_0(B))) | (~v1_funct_2(C, u1_struct_0(A!0), u1_struct_0(B))) | (~((~((~v4_waybel34(C, A!0, B)) | ![D: $i] : ((~v1_finset_1(D)) | (~m1_subset_1(D, k1_zfmisc_1(u1_struct_0(A!0)))) | r4_waybel_0(A!0, B, C, D)))) | (~(v4_waybel34(C, A!0, B) | (~((~m1_subset_1(tptp_fun_D_5(C, B, A!0), k1_zfmisc_1(u1_struct_0(A!0)))) | (~v1_finset_1(tptp_fun_D_5(C, B, A!0))) | r4_waybel_0(A!0, B, C, tptp_fun_D_5(C, B, A!0))))))))))) | v3_struct_0(B!1) | (~l1_orders_2(B!1)) | ![C: $i] : ((~v1_funct_1(C)) | (~m2_relset_1(C, u1_struct_0(A!0), u1_struct_0(B!1))) | (~v1_funct_2(C, u1_struct_0(A!0), u1_struct_0(B!1))) | (~((~((~v4_waybel34(C, A!0, B!1)) | ![D: $i] : ((~v1_finset_1(D)) | (~m1_subset_1(D, k1_zfmisc_1(u1_struct_0(A!0)))) | r4_waybel_0(A!0, B!1, C, D)))) | (~(v4_waybel34(C, A!0, B!1) | (~((~v1_finset_1(tptp_fun_D_5(C, B!1, A!0))) | r4_waybel_0(A!0, B!1, C, tptp_fun_D_5(C, B!1, A!0)) | (~m1_subset_1(tptp_fun_D_5(C, B!1, A!0), k1_zfmisc_1(u1_struct_0(A!0))))))))))))),
% 0.50/0.70 inference(transitivity,[status(thm)],[304, 302])).
% 0.50/0.70 tff(306,plain,
% 0.50/0.70 ((~![B: $i] : (v3_struct_0(B) | (~l1_orders_2(B)) | ![C: $i] : ((~v1_funct_1(C)) | (~m2_relset_1(C, u1_struct_0(A!0), u1_struct_0(B))) | (~v1_funct_2(C, u1_struct_0(A!0), u1_struct_0(B))) | (~((~((~v4_waybel34(C, A!0, B)) | ![D: $i] : ((~v1_finset_1(D)) | (~m1_subset_1(D, k1_zfmisc_1(u1_struct_0(A!0)))) | r4_waybel_0(A!0, B, C, D)))) | (~(v4_waybel34(C, A!0, B) | (~((~m1_subset_1(tptp_fun_D_5(C, B, A!0), k1_zfmisc_1(u1_struct_0(A!0)))) | (~v1_finset_1(tptp_fun_D_5(C, B, A!0))) | r4_waybel_0(A!0, B, C, tptp_fun_D_5(C, B, A!0))))))))))) | (v3_struct_0(B!1) | (~l1_orders_2(B!1)) | ![C: $i] : ((~v1_funct_1(C)) | (~m2_relset_1(C, u1_struct_0(A!0), u1_struct_0(B!1))) | (~v1_funct_2(C, u1_struct_0(A!0), u1_struct_0(B!1))) | (~((~((~v4_waybel34(C, A!0, B!1)) | ![D: $i] : ((~v1_finset_1(D)) | (~m1_subset_1(D, k1_zfmisc_1(u1_struct_0(A!0)))) | r4_waybel_0(A!0, B!1, C, D)))) | (~(v4_waybel34(C, A!0, B!1) | (~((~m1_subset_1(tptp_fun_D_5(C, B!1, A!0), k1_zfmisc_1(u1_struct_0(A!0)))) | (~v1_finset_1(tptp_fun_D_5(C, B!1, A!0))) | r4_waybel_0(A!0, B!1, C, tptp_fun_D_5(C, B!1, A!0))))))))))),
% 0.50/0.70 inference(quant_inst,[status(thm)],[])).
% 0.50/0.70 tff(307,plain,
% 0.50/0.70 ((~![B: $i] : (v3_struct_0(B) | (~l1_orders_2(B)) | ![C: $i] : ((~v1_funct_1(C)) | (~m2_relset_1(C, u1_struct_0(A!0), u1_struct_0(B))) | (~v1_funct_2(C, u1_struct_0(A!0), u1_struct_0(B))) | (~((~((~v4_waybel34(C, A!0, B)) | ![D: $i] : ((~v1_finset_1(D)) | (~m1_subset_1(D, k1_zfmisc_1(u1_struct_0(A!0)))) | r4_waybel_0(A!0, B, C, D)))) | (~(v4_waybel34(C, A!0, B) | (~((~m1_subset_1(tptp_fun_D_5(C, B, A!0), k1_zfmisc_1(u1_struct_0(A!0)))) | (~v1_finset_1(tptp_fun_D_5(C, B, A!0))) | r4_waybel_0(A!0, B, C, tptp_fun_D_5(C, B, A!0))))))))))) | v3_struct_0(B!1) | (~l1_orders_2(B!1)) | ![C: $i] : ((~v1_funct_1(C)) | (~m2_relset_1(C, u1_struct_0(A!0), u1_struct_0(B!1))) | (~v1_funct_2(C, u1_struct_0(A!0), u1_struct_0(B!1))) | (~((~((~v4_waybel34(C, A!0, B!1)) | ![D: $i] : ((~v1_finset_1(D)) | (~m1_subset_1(D, k1_zfmisc_1(u1_struct_0(A!0)))) | r4_waybel_0(A!0, B!1, C, D)))) | (~(v4_waybel34(C, A!0, B!1) | (~((~v1_finset_1(tptp_fun_D_5(C, B!1, A!0))) | r4_waybel_0(A!0, B!1, C, tptp_fun_D_5(C, B!1, A!0)) | (~m1_subset_1(tptp_fun_D_5(C, B!1, A!0), k1_zfmisc_1(u1_struct_0(A!0)))))))))))),
% 0.50/0.70 inference(modus_ponens,[status(thm)],[306, 305])).
% 0.50/0.70 tff(308,plain,
% 0.50/0.70 (![C: $i] : ((~v1_funct_1(C)) | (~m2_relset_1(C, u1_struct_0(A!0), u1_struct_0(B!1))) | (~v1_funct_2(C, u1_struct_0(A!0), u1_struct_0(B!1))) | (~((~((~v4_waybel34(C, A!0, B!1)) | ![D: $i] : ((~v1_finset_1(D)) | (~m1_subset_1(D, k1_zfmisc_1(u1_struct_0(A!0)))) | r4_waybel_0(A!0, B!1, C, D)))) | (~(v4_waybel34(C, A!0, B!1) | (~((~v1_finset_1(tptp_fun_D_5(C, B!1, A!0))) | r4_waybel_0(A!0, B!1, C, tptp_fun_D_5(C, B!1, A!0)) | (~m1_subset_1(tptp_fun_D_5(C, B!1, A!0), k1_zfmisc_1(u1_struct_0(A!0)))))))))))),
% 0.50/0.70 inference(unit_resolution,[status(thm)],[307, 114, 45, 215])).
% 0.50/0.70 tff(309,plain,
% 0.50/0.70 (((~![C: $i] : ((~v1_funct_1(C)) | (~m2_relset_1(C, u1_struct_0(A!0), u1_struct_0(B!1))) | (~v1_funct_2(C, u1_struct_0(A!0), u1_struct_0(B!1))) | (~((~((~v4_waybel34(C, A!0, B!1)) | ![D: $i] : ((~v1_finset_1(D)) | (~m1_subset_1(D, k1_zfmisc_1(u1_struct_0(A!0)))) | r4_waybel_0(A!0, B!1, C, D)))) | (~(v4_waybel34(C, A!0, B!1) | (~((~v1_finset_1(tptp_fun_D_5(C, B!1, A!0))) | r4_waybel_0(A!0, B!1, C, tptp_fun_D_5(C, B!1, A!0)) | (~m1_subset_1(tptp_fun_D_5(C, B!1, A!0), k1_zfmisc_1(u1_struct_0(A!0)))))))))))) | ((~v1_funct_1(D!3)) | (~m2_relset_1(D!3, u1_struct_0(A!0), u1_struct_0(B!1))) | (~v1_funct_2(D!3, u1_struct_0(A!0), u1_struct_0(B!1))) | (~((~((~v4_waybel34(D!3, A!0, B!1)) | ![D: $i] : ((~v1_finset_1(D)) | (~m1_subset_1(D, k1_zfmisc_1(u1_struct_0(A!0)))) | r4_waybel_0(A!0, B!1, D!3, D)))) | (~(v4_waybel34(D!3, A!0, B!1) | (~((~m1_subset_1(tptp_fun_D_5(D!3, B!1, A!0), k1_zfmisc_1(u1_struct_0(A!0)))) | r4_waybel_0(A!0, B!1, D!3, tptp_fun_D_5(D!3, B!1, A!0)) | (~v1_finset_1(tptp_fun_D_5(D!3, B!1, A!0))))))))))) <=> ((~![C: $i] : ((~v1_funct_1(C)) | (~m2_relset_1(C, u1_struct_0(A!0), u1_struct_0(B!1))) | (~v1_funct_2(C, u1_struct_0(A!0), u1_struct_0(B!1))) | (~((~((~v4_waybel34(C, A!0, B!1)) | ![D: $i] : ((~v1_finset_1(D)) | (~m1_subset_1(D, k1_zfmisc_1(u1_struct_0(A!0)))) | r4_waybel_0(A!0, B!1, C, D)))) | (~(v4_waybel34(C, A!0, B!1) | (~((~v1_finset_1(tptp_fun_D_5(C, B!1, A!0))) | r4_waybel_0(A!0, B!1, C, tptp_fun_D_5(C, B!1, A!0)) | (~m1_subset_1(tptp_fun_D_5(C, B!1, A!0), k1_zfmisc_1(u1_struct_0(A!0)))))))))))) | (~v1_funct_1(D!3)) | (~m2_relset_1(D!3, u1_struct_0(A!0), u1_struct_0(B!1))) | (~v1_funct_2(D!3, u1_struct_0(A!0), u1_struct_0(B!1))) | (~((~((~v4_waybel34(D!3, A!0, B!1)) | ![D: $i] : ((~v1_finset_1(D)) | (~m1_subset_1(D, k1_zfmisc_1(u1_struct_0(A!0)))) | r4_waybel_0(A!0, B!1, D!3, D)))) | (~(v4_waybel34(D!3, A!0, B!1) | (~((~m1_subset_1(tptp_fun_D_5(D!3, B!1, A!0), k1_zfmisc_1(u1_struct_0(A!0)))) | r4_waybel_0(A!0, B!1, D!3, tptp_fun_D_5(D!3, B!1, A!0)) | (~v1_finset_1(tptp_fun_D_5(D!3, B!1, A!0))))))))))),
% 0.50/0.70 inference(rewrite,[status(thm)],[])).
% 0.50/0.70 tff(310,plain,
% 0.50/0.70 (((~v1_funct_1(D!3)) | (~m2_relset_1(D!3, u1_struct_0(A!0), u1_struct_0(B!1))) | (~v1_funct_2(D!3, u1_struct_0(A!0), u1_struct_0(B!1))) | (~((~((~v4_waybel34(D!3, A!0, B!1)) | ![D: $i] : ((~v1_finset_1(D)) | (~m1_subset_1(D, k1_zfmisc_1(u1_struct_0(A!0)))) | r4_waybel_0(A!0, B!1, D!3, D)))) | (~(v4_waybel34(D!3, A!0, B!1) | (~((~v1_finset_1(tptp_fun_D_5(D!3, B!1, A!0))) | r4_waybel_0(A!0, B!1, D!3, tptp_fun_D_5(D!3, B!1, A!0)) | (~m1_subset_1(tptp_fun_D_5(D!3, B!1, A!0), k1_zfmisc_1(u1_struct_0(A!0))))))))))) <=> ((~v1_funct_1(D!3)) | (~m2_relset_1(D!3, u1_struct_0(A!0), u1_struct_0(B!1))) | (~v1_funct_2(D!3, u1_struct_0(A!0), u1_struct_0(B!1))) | (~((~((~v4_waybel34(D!3, A!0, B!1)) | ![D: $i] : ((~v1_finset_1(D)) | (~m1_subset_1(D, k1_zfmisc_1(u1_struct_0(A!0)))) | r4_waybel_0(A!0, B!1, D!3, D)))) | (~(v4_waybel34(D!3, A!0, B!1) | (~((~m1_subset_1(tptp_fun_D_5(D!3, B!1, A!0), k1_zfmisc_1(u1_struct_0(A!0)))) | r4_waybel_0(A!0, B!1, D!3, tptp_fun_D_5(D!3, B!1, A!0)) | (~v1_finset_1(tptp_fun_D_5(D!3, B!1, A!0))))))))))),
% 0.50/0.70 inference(rewrite,[status(thm)],[])).
% 0.50/0.70 tff(311,plain,
% 0.50/0.70 (((~![C: $i] : ((~v1_funct_1(C)) | (~m2_relset_1(C, u1_struct_0(A!0), u1_struct_0(B!1))) | (~v1_funct_2(C, u1_struct_0(A!0), u1_struct_0(B!1))) | (~((~((~v4_waybel34(C, A!0, B!1)) | ![D: $i] : ((~v1_finset_1(D)) | (~m1_subset_1(D, k1_zfmisc_1(u1_struct_0(A!0)))) | r4_waybel_0(A!0, B!1, C, D)))) | (~(v4_waybel34(C, A!0, B!1) | (~((~v1_finset_1(tptp_fun_D_5(C, B!1, A!0))) | r4_waybel_0(A!0, B!1, C, tptp_fun_D_5(C, B!1, A!0)) | (~m1_subset_1(tptp_fun_D_5(C, B!1, A!0), k1_zfmisc_1(u1_struct_0(A!0)))))))))))) | ((~v1_funct_1(D!3)) | (~m2_relset_1(D!3, u1_struct_0(A!0), u1_struct_0(B!1))) | (~v1_funct_2(D!3, u1_struct_0(A!0), u1_struct_0(B!1))) | (~((~((~v4_waybel34(D!3, A!0, B!1)) | ![D: $i] : ((~v1_finset_1(D)) | (~m1_subset_1(D, k1_zfmisc_1(u1_struct_0(A!0)))) | r4_waybel_0(A!0, B!1, D!3, D)))) | (~(v4_waybel34(D!3, A!0, B!1) | (~((~v1_finset_1(tptp_fun_D_5(D!3, B!1, A!0))) | r4_waybel_0(A!0, B!1, D!3, tptp_fun_D_5(D!3, B!1, A!0)) | (~m1_subset_1(tptp_fun_D_5(D!3, B!1, A!0), k1_zfmisc_1(u1_struct_0(A!0)))))))))))) <=> ((~![C: $i] : ((~v1_funct_1(C)) | (~m2_relset_1(C, u1_struct_0(A!0), u1_struct_0(B!1))) | (~v1_funct_2(C, u1_struct_0(A!0), u1_struct_0(B!1))) | (~((~((~v4_waybel34(C, A!0, B!1)) | ![D: $i] : ((~v1_finset_1(D)) | (~m1_subset_1(D, k1_zfmisc_1(u1_struct_0(A!0)))) | r4_waybel_0(A!0, B!1, C, D)))) | (~(v4_waybel34(C, A!0, B!1) | (~((~v1_finset_1(tptp_fun_D_5(C, B!1, A!0))) | r4_waybel_0(A!0, B!1, C, tptp_fun_D_5(C, B!1, A!0)) | (~m1_subset_1(tptp_fun_D_5(C, B!1, A!0), k1_zfmisc_1(u1_struct_0(A!0)))))))))))) | ((~v1_funct_1(D!3)) | (~m2_relset_1(D!3, u1_struct_0(A!0), u1_struct_0(B!1))) | (~v1_funct_2(D!3, u1_struct_0(A!0), u1_struct_0(B!1))) | (~((~((~v4_waybel34(D!3, A!0, B!1)) | ![D: $i] : ((~v1_finset_1(D)) | (~m1_subset_1(D, k1_zfmisc_1(u1_struct_0(A!0)))) | r4_waybel_0(A!0, B!1, D!3, D)))) | (~(v4_waybel34(D!3, A!0, B!1) | (~((~m1_subset_1(tptp_fun_D_5(D!3, B!1, A!0), k1_zfmisc_1(u1_struct_0(A!0)))) | r4_waybel_0(A!0, B!1, D!3, tptp_fun_D_5(D!3, B!1, A!0)) | (~v1_finset_1(tptp_fun_D_5(D!3, B!1, A!0)))))))))))),
% 0.50/0.70 inference(monotonicity,[status(thm)],[310])).
% 0.50/0.70 tff(312,plain,
% 0.50/0.70 (((~![C: $i] : ((~v1_funct_1(C)) | (~m2_relset_1(C, u1_struct_0(A!0), u1_struct_0(B!1))) | (~v1_funct_2(C, u1_struct_0(A!0), u1_struct_0(B!1))) | (~((~((~v4_waybel34(C, A!0, B!1)) | ![D: $i] : ((~v1_finset_1(D)) | (~m1_subset_1(D, k1_zfmisc_1(u1_struct_0(A!0)))) | r4_waybel_0(A!0, B!1, C, D)))) | (~(v4_waybel34(C, A!0, B!1) | (~((~v1_finset_1(tptp_fun_D_5(C, B!1, A!0))) | r4_waybel_0(A!0, B!1, C, tptp_fun_D_5(C, B!1, A!0)) | (~m1_subset_1(tptp_fun_D_5(C, B!1, A!0), k1_zfmisc_1(u1_struct_0(A!0)))))))))))) | ((~v1_funct_1(D!3)) | (~m2_relset_1(D!3, u1_struct_0(A!0), u1_struct_0(B!1))) | (~v1_funct_2(D!3, u1_struct_0(A!0), u1_struct_0(B!1))) | (~((~((~v4_waybel34(D!3, A!0, B!1)) | ![D: $i] : ((~v1_finset_1(D)) | (~m1_subset_1(D, k1_zfmisc_1(u1_struct_0(A!0)))) | r4_waybel_0(A!0, B!1, D!3, D)))) | (~(v4_waybel34(D!3, A!0, B!1) | (~((~v1_finset_1(tptp_fun_D_5(D!3, B!1, A!0))) | r4_waybel_0(A!0, B!1, D!3, tptp_fun_D_5(D!3, B!1, A!0)) | (~m1_subset_1(tptp_fun_D_5(D!3, B!1, A!0), k1_zfmisc_1(u1_struct_0(A!0)))))))))))) <=> ((~![C: $i] : ((~v1_funct_1(C)) | (~m2_relset_1(C, u1_struct_0(A!0), u1_struct_0(B!1))) | (~v1_funct_2(C, u1_struct_0(A!0), u1_struct_0(B!1))) | (~((~((~v4_waybel34(C, A!0, B!1)) | ![D: $i] : ((~v1_finset_1(D)) | (~m1_subset_1(D, k1_zfmisc_1(u1_struct_0(A!0)))) | r4_waybel_0(A!0, B!1, C, D)))) | (~(v4_waybel34(C, A!0, B!1) | (~((~v1_finset_1(tptp_fun_D_5(C, B!1, A!0))) | r4_waybel_0(A!0, B!1, C, tptp_fun_D_5(C, B!1, A!0)) | (~m1_subset_1(tptp_fun_D_5(C, B!1, A!0), k1_zfmisc_1(u1_struct_0(A!0)))))))))))) | (~v1_funct_1(D!3)) | (~m2_relset_1(D!3, u1_struct_0(A!0), u1_struct_0(B!1))) | (~v1_funct_2(D!3, u1_struct_0(A!0), u1_struct_0(B!1))) | (~((~((~v4_waybel34(D!3, A!0, B!1)) | ![D: $i] : ((~v1_finset_1(D)) | (~m1_subset_1(D, k1_zfmisc_1(u1_struct_0(A!0)))) | r4_waybel_0(A!0, B!1, D!3, D)))) | (~(v4_waybel34(D!3, A!0, B!1) | (~((~m1_subset_1(tptp_fun_D_5(D!3, B!1, A!0), k1_zfmisc_1(u1_struct_0(A!0)))) | r4_waybel_0(A!0, B!1, D!3, tptp_fun_D_5(D!3, B!1, A!0)) | (~v1_finset_1(tptp_fun_D_5(D!3, B!1, A!0))))))))))),
% 0.50/0.70 inference(transitivity,[status(thm)],[311, 309])).
% 0.50/0.70 tff(313,plain,
% 0.50/0.70 ((~![C: $i] : ((~v1_funct_1(C)) | (~m2_relset_1(C, u1_struct_0(A!0), u1_struct_0(B!1))) | (~v1_funct_2(C, u1_struct_0(A!0), u1_struct_0(B!1))) | (~((~((~v4_waybel34(C, A!0, B!1)) | ![D: $i] : ((~v1_finset_1(D)) | (~m1_subset_1(D, k1_zfmisc_1(u1_struct_0(A!0)))) | r4_waybel_0(A!0, B!1, C, D)))) | (~(v4_waybel34(C, A!0, B!1) | (~((~v1_finset_1(tptp_fun_D_5(C, B!1, A!0))) | r4_waybel_0(A!0, B!1, C, tptp_fun_D_5(C, B!1, A!0)) | (~m1_subset_1(tptp_fun_D_5(C, B!1, A!0), k1_zfmisc_1(u1_struct_0(A!0)))))))))))) | ((~v1_funct_1(D!3)) | (~m2_relset_1(D!3, u1_struct_0(A!0), u1_struct_0(B!1))) | (~v1_funct_2(D!3, u1_struct_0(A!0), u1_struct_0(B!1))) | (~((~((~v4_waybel34(D!3, A!0, B!1)) | ![D: $i] : ((~v1_finset_1(D)) | (~m1_subset_1(D, k1_zfmisc_1(u1_struct_0(A!0)))) | r4_waybel_0(A!0, B!1, D!3, D)))) | (~(v4_waybel34(D!3, A!0, B!1) | (~((~v1_finset_1(tptp_fun_D_5(D!3, B!1, A!0))) | r4_waybel_0(A!0, B!1, D!3, tptp_fun_D_5(D!3, B!1, A!0)) | (~m1_subset_1(tptp_fun_D_5(D!3, B!1, A!0), k1_zfmisc_1(u1_struct_0(A!0)))))))))))),
% 0.50/0.70 inference(quant_inst,[status(thm)],[])).
% 0.50/0.70 tff(314,plain,
% 0.50/0.70 ((~![C: $i] : ((~v1_funct_1(C)) | (~m2_relset_1(C, u1_struct_0(A!0), u1_struct_0(B!1))) | (~v1_funct_2(C, u1_struct_0(A!0), u1_struct_0(B!1))) | (~((~((~v4_waybel34(C, A!0, B!1)) | ![D: $i] : ((~v1_finset_1(D)) | (~m1_subset_1(D, k1_zfmisc_1(u1_struct_0(A!0)))) | r4_waybel_0(A!0, B!1, C, D)))) | (~(v4_waybel34(C, A!0, B!1) | (~((~v1_finset_1(tptp_fun_D_5(C, B!1, A!0))) | r4_waybel_0(A!0, B!1, C, tptp_fun_D_5(C, B!1, A!0)) | (~m1_subset_1(tptp_fun_D_5(C, B!1, A!0), k1_zfmisc_1(u1_struct_0(A!0)))))))))))) | (~v1_funct_1(D!3)) | (~m2_relset_1(D!3, u1_struct_0(A!0), u1_struct_0(B!1))) | (~v1_funct_2(D!3, u1_struct_0(A!0), u1_struct_0(B!1))) | (~((~((~v4_waybel34(D!3, A!0, B!1)) | ![D: $i] : ((~v1_finset_1(D)) | (~m1_subset_1(D, k1_zfmisc_1(u1_struct_0(A!0)))) | r4_waybel_0(A!0, B!1, D!3, D)))) | (~(v4_waybel34(D!3, A!0, B!1) | (~((~m1_subset_1(tptp_fun_D_5(D!3, B!1, A!0), k1_zfmisc_1(u1_struct_0(A!0)))) | r4_waybel_0(A!0, B!1, D!3, tptp_fun_D_5(D!3, B!1, A!0)) | (~v1_finset_1(tptp_fun_D_5(D!3, B!1, A!0)))))))))),
% 0.50/0.70 inference(modus_ponens,[status(thm)],[313, 312])).
% 0.50/0.70 tff(315,plain,
% 0.50/0.70 (~((~((~v4_waybel34(D!3, A!0, B!1)) | ![D: $i] : ((~v1_finset_1(D)) | (~m1_subset_1(D, k1_zfmisc_1(u1_struct_0(A!0)))) | r4_waybel_0(A!0, B!1, D!3, D)))) | (~(v4_waybel34(D!3, A!0, B!1) | (~((~m1_subset_1(tptp_fun_D_5(D!3, B!1, A!0), k1_zfmisc_1(u1_struct_0(A!0)))) | r4_waybel_0(A!0, B!1, D!3, tptp_fun_D_5(D!3, B!1, A!0)) | (~v1_finset_1(tptp_fun_D_5(D!3, B!1, A!0))))))))),
% 0.50/0.70 inference(unit_resolution,[status(thm)],[314, 69, 68, 31, 308])).
% 0.50/0.70 tff(316,plain,
% 0.50/0.70 (((~((~v4_waybel34(D!3, A!0, B!1)) | ![D: $i] : ((~v1_finset_1(D)) | (~m1_subset_1(D, k1_zfmisc_1(u1_struct_0(A!0)))) | r4_waybel_0(A!0, B!1, D!3, D)))) | (~(v4_waybel34(D!3, A!0, B!1) | (~((~m1_subset_1(tptp_fun_D_5(D!3, B!1, A!0), k1_zfmisc_1(u1_struct_0(A!0)))) | r4_waybel_0(A!0, B!1, D!3, tptp_fun_D_5(D!3, B!1, A!0)) | (~v1_finset_1(tptp_fun_D_5(D!3, B!1, A!0)))))))) | ((~v4_waybel34(D!3, A!0, B!1)) | ![D: $i] : ((~v1_finset_1(D)) | (~m1_subset_1(D, k1_zfmisc_1(u1_struct_0(A!0)))) | r4_waybel_0(A!0, B!1, D!3, D)))),
% 0.50/0.70 inference(tautology,[status(thm)],[])).
% 0.50/0.70 tff(317,plain,
% 0.50/0.70 ((~v4_waybel34(D!3, A!0, B!1)) | ![D: $i] : ((~v1_finset_1(D)) | (~m1_subset_1(D, k1_zfmisc_1(u1_struct_0(A!0)))) | r4_waybel_0(A!0, B!1, D!3, D))),
% 0.50/0.70 inference(unit_resolution,[status(thm)],[316, 315])).
% 0.50/0.70 tff(318,plain,
% 0.50/0.70 (v4_waybel34(D!3, A!0, B!1) & v4_waybel34(E!4, B!1, C!2)),
% 0.50/0.70 inference(or_elim,[status(thm)],[125])).
% 0.50/0.70 tff(319,plain,
% 0.50/0.70 (v4_waybel34(D!3, A!0, B!1)),
% 0.50/0.70 inference(and_elim,[status(thm)],[318])).
% 0.50/0.70 tff(320,plain,
% 0.50/0.70 ((~((~v4_waybel34(D!3, A!0, B!1)) | ![D: $i] : ((~v1_finset_1(D)) | (~m1_subset_1(D, k1_zfmisc_1(u1_struct_0(A!0)))) | r4_waybel_0(A!0, B!1, D!3, D)))) | (~v4_waybel34(D!3, A!0, B!1)) | ![D: $i] : ((~v1_finset_1(D)) | (~m1_subset_1(D, k1_zfmisc_1(u1_struct_0(A!0)))) | r4_waybel_0(A!0, B!1, D!3, D))),
% 0.50/0.70 inference(tautology,[status(thm)],[])).
% 0.50/0.70 tff(321,plain,
% 0.50/0.70 ((~((~v4_waybel34(D!3, A!0, B!1)) | ![D: $i] : ((~v1_finset_1(D)) | (~m1_subset_1(D, k1_zfmisc_1(u1_struct_0(A!0)))) | r4_waybel_0(A!0, B!1, D!3, D)))) | ![D: $i] : ((~v1_finset_1(D)) | (~m1_subset_1(D, k1_zfmisc_1(u1_struct_0(A!0)))) | r4_waybel_0(A!0, B!1, D!3, D))),
% 0.50/0.70 inference(unit_resolution,[status(thm)],[320, 319])).
% 0.50/0.70 tff(322,plain,
% 0.50/0.70 (![D: $i] : ((~v1_finset_1(D)) | (~m1_subset_1(D, k1_zfmisc_1(u1_struct_0(A!0)))) | r4_waybel_0(A!0, B!1, D!3, D))),
% 0.50/0.70 inference(unit_resolution,[status(thm)],[321, 317])).
% 0.50/0.70 tff(323,plain,
% 0.50/0.70 (((~![D: $i] : ((~v1_finset_1(D)) | (~m1_subset_1(D, k1_zfmisc_1(u1_struct_0(A!0)))) | r4_waybel_0(A!0, B!1, D!3, D))) | ((~v1_finset_1(tptp_fun_D_5(k5_relat_1(D!3, E!4), C!2, A!0))) | (~m1_subset_1(tptp_fun_D_5(k5_relat_1(D!3, E!4), C!2, A!0), k1_zfmisc_1(u1_struct_0(A!0)))) | r4_waybel_0(A!0, B!1, D!3, tptp_fun_D_5(k5_relat_1(D!3, E!4), C!2, A!0)))) <=> ((~![D: $i] : ((~v1_finset_1(D)) | (~m1_subset_1(D, k1_zfmisc_1(u1_struct_0(A!0)))) | r4_waybel_0(A!0, B!1, D!3, D))) | (~v1_finset_1(tptp_fun_D_5(k5_relat_1(D!3, E!4), C!2, A!0))) | (~m1_subset_1(tptp_fun_D_5(k5_relat_1(D!3, E!4), C!2, A!0), k1_zfmisc_1(u1_struct_0(A!0)))) | r4_waybel_0(A!0, B!1, D!3, tptp_fun_D_5(k5_relat_1(D!3, E!4), C!2, A!0)))),
% 0.50/0.70 inference(rewrite,[status(thm)],[])).
% 0.50/0.71 tff(324,plain,
% 0.50/0.71 ((~![D: $i] : ((~v1_finset_1(D)) | (~m1_subset_1(D, k1_zfmisc_1(u1_struct_0(A!0)))) | r4_waybel_0(A!0, B!1, D!3, D))) | ((~v1_finset_1(tptp_fun_D_5(k5_relat_1(D!3, E!4), C!2, A!0))) | (~m1_subset_1(tptp_fun_D_5(k5_relat_1(D!3, E!4), C!2, A!0), k1_zfmisc_1(u1_struct_0(A!0)))) | r4_waybel_0(A!0, B!1, D!3, tptp_fun_D_5(k5_relat_1(D!3, E!4), C!2, A!0)))),
% 0.50/0.71 inference(quant_inst,[status(thm)],[])).
% 0.50/0.71 tff(325,plain,
% 0.50/0.71 ((~![D: $i] : ((~v1_finset_1(D)) | (~m1_subset_1(D, k1_zfmisc_1(u1_struct_0(A!0)))) | r4_waybel_0(A!0, B!1, D!3, D))) | (~v1_finset_1(tptp_fun_D_5(k5_relat_1(D!3, E!4), C!2, A!0))) | (~m1_subset_1(tptp_fun_D_5(k5_relat_1(D!3, E!4), C!2, A!0), k1_zfmisc_1(u1_struct_0(A!0)))) | r4_waybel_0(A!0, B!1, D!3, tptp_fun_D_5(k5_relat_1(D!3, E!4), C!2, A!0))),
% 0.50/0.71 inference(modus_ponens,[status(thm)],[324, 323])).
% 0.50/0.71 tff(326,plain,
% 0.50/0.71 (r4_waybel_0(A!0, B!1, D!3, tptp_fun_D_5(k5_relat_1(D!3, E!4), C!2, A!0))),
% 0.50/0.71 inference(unit_resolution,[status(thm)],[325, 322, 301, 288])).
% 0.50/0.71 tff(327,plain,
% 0.50/0.71 (((~![F: $i] : ((~v1_funct_1(F)) | (~m2_relset_1(F, u1_struct_0(B!1), u1_struct_0(C!2))) | (~v1_funct_2(F, u1_struct_0(B!1), u1_struct_0(C!2))) | (~r4_waybel_0(A!0, B!1, D!3, tptp_fun_D_5(k5_relat_1(D!3, E!4), C!2, A!0))) | r4_waybel_0(A!0, C!2, k7_funct_2(u1_struct_0(A!0), u1_struct_0(B!1), u1_struct_0(C!2), D!3, F), tptp_fun_D_5(k5_relat_1(D!3, E!4), C!2, A!0)) | (~r4_waybel_0(B!1, C!2, F, k4_pre_topc(A!0, B!1, D!3, tptp_fun_D_5(k5_relat_1(D!3, E!4), C!2, A!0)))))) | ((~v1_funct_1(E!4)) | (~v1_funct_2(E!4, u1_struct_0(B!1), u1_struct_0(C!2))) | (~m2_relset_1(E!4, u1_struct_0(B!1), u1_struct_0(C!2))) | (~r4_waybel_0(A!0, B!1, D!3, tptp_fun_D_5(k5_relat_1(D!3, E!4), C!2, A!0))) | r4_waybel_0(A!0, C!2, k7_funct_2(u1_struct_0(A!0), u1_struct_0(B!1), u1_struct_0(C!2), D!3, E!4), tptp_fun_D_5(k5_relat_1(D!3, E!4), C!2, A!0)) | (~r4_waybel_0(B!1, C!2, E!4, k4_pre_topc(A!0, B!1, D!3, tptp_fun_D_5(k5_relat_1(D!3, E!4), C!2, A!0)))))) <=> ((~![F: $i] : ((~v1_funct_1(F)) | (~m2_relset_1(F, u1_struct_0(B!1), u1_struct_0(C!2))) | (~v1_funct_2(F, u1_struct_0(B!1), u1_struct_0(C!2))) | (~r4_waybel_0(A!0, B!1, D!3, tptp_fun_D_5(k5_relat_1(D!3, E!4), C!2, A!0))) | r4_waybel_0(A!0, C!2, k7_funct_2(u1_struct_0(A!0), u1_struct_0(B!1), u1_struct_0(C!2), D!3, F), tptp_fun_D_5(k5_relat_1(D!3, E!4), C!2, A!0)) | (~r4_waybel_0(B!1, C!2, F, k4_pre_topc(A!0, B!1, D!3, tptp_fun_D_5(k5_relat_1(D!3, E!4), C!2, A!0)))))) | (~v1_funct_1(E!4)) | (~v1_funct_2(E!4, u1_struct_0(B!1), u1_struct_0(C!2))) | (~m2_relset_1(E!4, u1_struct_0(B!1), u1_struct_0(C!2))) | (~r4_waybel_0(A!0, B!1, D!3, tptp_fun_D_5(k5_relat_1(D!3, E!4), C!2, A!0))) | r4_waybel_0(A!0, C!2, k7_funct_2(u1_struct_0(A!0), u1_struct_0(B!1), u1_struct_0(C!2), D!3, E!4), tptp_fun_D_5(k5_relat_1(D!3, E!4), C!2, A!0)) | (~r4_waybel_0(B!1, C!2, E!4, k4_pre_topc(A!0, B!1, D!3, tptp_fun_D_5(k5_relat_1(D!3, E!4), C!2, A!0)))))),
% 0.50/0.71 inference(rewrite,[status(thm)],[])).
% 0.50/0.71 tff(328,plain,
% 0.50/0.71 (((~v1_funct_1(E!4)) | (~m2_relset_1(E!4, u1_struct_0(B!1), u1_struct_0(C!2))) | (~v1_funct_2(E!4, u1_struct_0(B!1), u1_struct_0(C!2))) | (~r4_waybel_0(A!0, B!1, D!3, tptp_fun_D_5(k5_relat_1(D!3, E!4), C!2, A!0))) | r4_waybel_0(A!0, C!2, k7_funct_2(u1_struct_0(A!0), u1_struct_0(B!1), u1_struct_0(C!2), D!3, E!4), tptp_fun_D_5(k5_relat_1(D!3, E!4), C!2, A!0)) | (~r4_waybel_0(B!1, C!2, E!4, k4_pre_topc(A!0, B!1, D!3, tptp_fun_D_5(k5_relat_1(D!3, E!4), C!2, A!0))))) <=> ((~v1_funct_1(E!4)) | (~v1_funct_2(E!4, u1_struct_0(B!1), u1_struct_0(C!2))) | (~m2_relset_1(E!4, u1_struct_0(B!1), u1_struct_0(C!2))) | (~r4_waybel_0(A!0, B!1, D!3, tptp_fun_D_5(k5_relat_1(D!3, E!4), C!2, A!0))) | r4_waybel_0(A!0, C!2, k7_funct_2(u1_struct_0(A!0), u1_struct_0(B!1), u1_struct_0(C!2), D!3, E!4), tptp_fun_D_5(k5_relat_1(D!3, E!4), C!2, A!0)) | (~r4_waybel_0(B!1, C!2, E!4, k4_pre_topc(A!0, B!1, D!3, tptp_fun_D_5(k5_relat_1(D!3, E!4), C!2, A!0)))))),
% 0.50/0.71 inference(rewrite,[status(thm)],[])).
% 0.50/0.71 tff(329,plain,
% 0.50/0.71 (((~![F: $i] : ((~v1_funct_1(F)) | (~m2_relset_1(F, u1_struct_0(B!1), u1_struct_0(C!2))) | (~v1_funct_2(F, u1_struct_0(B!1), u1_struct_0(C!2))) | (~r4_waybel_0(A!0, B!1, D!3, tptp_fun_D_5(k5_relat_1(D!3, E!4), C!2, A!0))) | r4_waybel_0(A!0, C!2, k7_funct_2(u1_struct_0(A!0), u1_struct_0(B!1), u1_struct_0(C!2), D!3, F), tptp_fun_D_5(k5_relat_1(D!3, E!4), C!2, A!0)) | (~r4_waybel_0(B!1, C!2, F, k4_pre_topc(A!0, B!1, D!3, tptp_fun_D_5(k5_relat_1(D!3, E!4), C!2, A!0)))))) | ((~v1_funct_1(E!4)) | (~m2_relset_1(E!4, u1_struct_0(B!1), u1_struct_0(C!2))) | (~v1_funct_2(E!4, u1_struct_0(B!1), u1_struct_0(C!2))) | (~r4_waybel_0(A!0, B!1, D!3, tptp_fun_D_5(k5_relat_1(D!3, E!4), C!2, A!0))) | r4_waybel_0(A!0, C!2, k7_funct_2(u1_struct_0(A!0), u1_struct_0(B!1), u1_struct_0(C!2), D!3, E!4), tptp_fun_D_5(k5_relat_1(D!3, E!4), C!2, A!0)) | (~r4_waybel_0(B!1, C!2, E!4, k4_pre_topc(A!0, B!1, D!3, tptp_fun_D_5(k5_relat_1(D!3, E!4), C!2, A!0)))))) <=> ((~![F: $i] : ((~v1_funct_1(F)) | (~m2_relset_1(F, u1_struct_0(B!1), u1_struct_0(C!2))) | (~v1_funct_2(F, u1_struct_0(B!1), u1_struct_0(C!2))) | (~r4_waybel_0(A!0, B!1, D!3, tptp_fun_D_5(k5_relat_1(D!3, E!4), C!2, A!0))) | r4_waybel_0(A!0, C!2, k7_funct_2(u1_struct_0(A!0), u1_struct_0(B!1), u1_struct_0(C!2), D!3, F), tptp_fun_D_5(k5_relat_1(D!3, E!4), C!2, A!0)) | (~r4_waybel_0(B!1, C!2, F, k4_pre_topc(A!0, B!1, D!3, tptp_fun_D_5(k5_relat_1(D!3, E!4), C!2, A!0)))))) | ((~v1_funct_1(E!4)) | (~v1_funct_2(E!4, u1_struct_0(B!1), u1_struct_0(C!2))) | (~m2_relset_1(E!4, u1_struct_0(B!1), u1_struct_0(C!2))) | (~r4_waybel_0(A!0, B!1, D!3, tptp_fun_D_5(k5_relat_1(D!3, E!4), C!2, A!0))) | r4_waybel_0(A!0, C!2, k7_funct_2(u1_struct_0(A!0), u1_struct_0(B!1), u1_struct_0(C!2), D!3, E!4), tptp_fun_D_5(k5_relat_1(D!3, E!4), C!2, A!0)) | (~r4_waybel_0(B!1, C!2, E!4, k4_pre_topc(A!0, B!1, D!3, tptp_fun_D_5(k5_relat_1(D!3, E!4), C!2, A!0))))))),
% 0.50/0.71 inference(monotonicity,[status(thm)],[328])).
% 0.50/0.71 tff(330,plain,
% 0.50/0.71 (((~![F: $i] : ((~v1_funct_1(F)) | (~m2_relset_1(F, u1_struct_0(B!1), u1_struct_0(C!2))) | (~v1_funct_2(F, u1_struct_0(B!1), u1_struct_0(C!2))) | (~r4_waybel_0(A!0, B!1, D!3, tptp_fun_D_5(k5_relat_1(D!3, E!4), C!2, A!0))) | r4_waybel_0(A!0, C!2, k7_funct_2(u1_struct_0(A!0), u1_struct_0(B!1), u1_struct_0(C!2), D!3, F), tptp_fun_D_5(k5_relat_1(D!3, E!4), C!2, A!0)) | (~r4_waybel_0(B!1, C!2, F, k4_pre_topc(A!0, B!1, D!3, tptp_fun_D_5(k5_relat_1(D!3, E!4), C!2, A!0)))))) | ((~v1_funct_1(E!4)) | (~m2_relset_1(E!4, u1_struct_0(B!1), u1_struct_0(C!2))) | (~v1_funct_2(E!4, u1_struct_0(B!1), u1_struct_0(C!2))) | (~r4_waybel_0(A!0, B!1, D!3, tptp_fun_D_5(k5_relat_1(D!3, E!4), C!2, A!0))) | r4_waybel_0(A!0, C!2, k7_funct_2(u1_struct_0(A!0), u1_struct_0(B!1), u1_struct_0(C!2), D!3, E!4), tptp_fun_D_5(k5_relat_1(D!3, E!4), C!2, A!0)) | (~r4_waybel_0(B!1, C!2, E!4, k4_pre_topc(A!0, B!1, D!3, tptp_fun_D_5(k5_relat_1(D!3, E!4), C!2, A!0)))))) <=> ((~![F: $i] : ((~v1_funct_1(F)) | (~m2_relset_1(F, u1_struct_0(B!1), u1_struct_0(C!2))) | (~v1_funct_2(F, u1_struct_0(B!1), u1_struct_0(C!2))) | (~r4_waybel_0(A!0, B!1, D!3, tptp_fun_D_5(k5_relat_1(D!3, E!4), C!2, A!0))) | r4_waybel_0(A!0, C!2, k7_funct_2(u1_struct_0(A!0), u1_struct_0(B!1), u1_struct_0(C!2), D!3, F), tptp_fun_D_5(k5_relat_1(D!3, E!4), C!2, A!0)) | (~r4_waybel_0(B!1, C!2, F, k4_pre_topc(A!0, B!1, D!3, tptp_fun_D_5(k5_relat_1(D!3, E!4), C!2, A!0)))))) | (~v1_funct_1(E!4)) | (~v1_funct_2(E!4, u1_struct_0(B!1), u1_struct_0(C!2))) | (~m2_relset_1(E!4, u1_struct_0(B!1), u1_struct_0(C!2))) | (~r4_waybel_0(A!0, B!1, D!3, tptp_fun_D_5(k5_relat_1(D!3, E!4), C!2, A!0))) | r4_waybel_0(A!0, C!2, k7_funct_2(u1_struct_0(A!0), u1_struct_0(B!1), u1_struct_0(C!2), D!3, E!4), tptp_fun_D_5(k5_relat_1(D!3, E!4), C!2, A!0)) | (~r4_waybel_0(B!1, C!2, E!4, k4_pre_topc(A!0, B!1, D!3, tptp_fun_D_5(k5_relat_1(D!3, E!4), C!2, A!0)))))),
% 0.50/0.71 inference(transitivity,[status(thm)],[329, 327])).
% 0.50/0.71 tff(331,plain,
% 0.50/0.71 ((~![F: $i] : ((~v1_funct_1(F)) | (~m2_relset_1(F, u1_struct_0(B!1), u1_struct_0(C!2))) | (~v1_funct_2(F, u1_struct_0(B!1), u1_struct_0(C!2))) | (~r4_waybel_0(A!0, B!1, D!3, tptp_fun_D_5(k5_relat_1(D!3, E!4), C!2, A!0))) | r4_waybel_0(A!0, C!2, k7_funct_2(u1_struct_0(A!0), u1_struct_0(B!1), u1_struct_0(C!2), D!3, F), tptp_fun_D_5(k5_relat_1(D!3, E!4), C!2, A!0)) | (~r4_waybel_0(B!1, C!2, F, k4_pre_topc(A!0, B!1, D!3, tptp_fun_D_5(k5_relat_1(D!3, E!4), C!2, A!0)))))) | ((~v1_funct_1(E!4)) | (~m2_relset_1(E!4, u1_struct_0(B!1), u1_struct_0(C!2))) | (~v1_funct_2(E!4, u1_struct_0(B!1), u1_struct_0(C!2))) | (~r4_waybel_0(A!0, B!1, D!3, tptp_fun_D_5(k5_relat_1(D!3, E!4), C!2, A!0))) | r4_waybel_0(A!0, C!2, k7_funct_2(u1_struct_0(A!0), u1_struct_0(B!1), u1_struct_0(C!2), D!3, E!4), tptp_fun_D_5(k5_relat_1(D!3, E!4), C!2, A!0)) | (~r4_waybel_0(B!1, C!2, E!4, k4_pre_topc(A!0, B!1, D!3, tptp_fun_D_5(k5_relat_1(D!3, E!4), C!2, A!0)))))),
% 0.50/0.71 inference(quant_inst,[status(thm)],[])).
% 0.50/0.71 tff(332,plain,
% 0.50/0.71 ((~![F: $i] : ((~v1_funct_1(F)) | (~m2_relset_1(F, u1_struct_0(B!1), u1_struct_0(C!2))) | (~v1_funct_2(F, u1_struct_0(B!1), u1_struct_0(C!2))) | (~r4_waybel_0(A!0, B!1, D!3, tptp_fun_D_5(k5_relat_1(D!3, E!4), C!2, A!0))) | r4_waybel_0(A!0, C!2, k7_funct_2(u1_struct_0(A!0), u1_struct_0(B!1), u1_struct_0(C!2), D!3, F), tptp_fun_D_5(k5_relat_1(D!3, E!4), C!2, A!0)) | (~r4_waybel_0(B!1, C!2, F, k4_pre_topc(A!0, B!1, D!3, tptp_fun_D_5(k5_relat_1(D!3, E!4), C!2, A!0)))))) | (~v1_funct_1(E!4)) | (~v1_funct_2(E!4, u1_struct_0(B!1), u1_struct_0(C!2))) | (~m2_relset_1(E!4, u1_struct_0(B!1), u1_struct_0(C!2))) | (~r4_waybel_0(A!0, B!1, D!3, tptp_fun_D_5(k5_relat_1(D!3, E!4), C!2, A!0))) | r4_waybel_0(A!0, C!2, k7_funct_2(u1_struct_0(A!0), u1_struct_0(B!1), u1_struct_0(C!2), D!3, E!4), tptp_fun_D_5(k5_relat_1(D!3, E!4), C!2, A!0)) | (~r4_waybel_0(B!1, C!2, E!4, k4_pre_topc(A!0, B!1, D!3, tptp_fun_D_5(k5_relat_1(D!3, E!4), C!2, A!0))))),
% 0.50/0.71 inference(modus_ponens,[status(thm)],[331, 330])).
% 0.50/0.71 tff(333,plain,
% 0.50/0.71 (r4_waybel_0(A!0, C!2, k7_funct_2(u1_struct_0(A!0), u1_struct_0(B!1), u1_struct_0(C!2), D!3, E!4), tptp_fun_D_5(k5_relat_1(D!3, E!4), C!2, A!0)) | (~r4_waybel_0(B!1, C!2, E!4, k4_pre_topc(A!0, B!1, D!3, tptp_fun_D_5(k5_relat_1(D!3, E!4), C!2, A!0))))),
% 0.50/0.71 inference(unit_resolution,[status(thm)],[332, 145, 144, 127, 326, 299])).
% 0.50/0.71 tff(334,plain,
% 0.50/0.71 (~r4_waybel_0(B!1, C!2, E!4, k4_pre_topc(A!0, B!1, D!3, tptp_fun_D_5(k5_relat_1(D!3, E!4), C!2, A!0)))),
% 0.50/0.71 inference(unit_resolution,[status(thm)],[333, 249])).
% 0.50/0.71 tff(335,plain,
% 0.50/0.71 (((~![A: $i] : (v3_struct_0(A) | (~l1_orders_2(A)) | ![B: $i] : (v3_struct_0(B) | (~l1_orders_2(B)) | ![C: $i] : ((~v1_funct_1(C)) | (~v1_funct_2(C, u1_struct_0(A), u1_struct_0(B))) | (~m2_relset_1(C, u1_struct_0(A), u1_struct_0(B))) | (~((~((~v4_waybel34(C, A, B)) | ![D: $i] : (r4_waybel_0(A, B, C, D) | (~v1_finset_1(D)) | (~m1_subset_1(D, k1_zfmisc_1(u1_struct_0(A))))))) | (~(v4_waybel34(C, A, B) | (~(r4_waybel_0(A, B, C, tptp_fun_D_5(C, B, A)) | (~v1_finset_1(tptp_fun_D_5(C, B, A))) | (~m1_subset_1(tptp_fun_D_5(C, B, A), k1_zfmisc_1(u1_struct_0(A)))))))))))))) | (v3_struct_0(B!1) | (~l1_orders_2(B!1)) | ![B: $i] : (v3_struct_0(B) | (~l1_orders_2(B)) | ![C: $i] : ((~v1_funct_1(C)) | (~m2_relset_1(C, u1_struct_0(B!1), u1_struct_0(B))) | (~v1_funct_2(C, u1_struct_0(B!1), u1_struct_0(B))) | (~((~((~v4_waybel34(C, B!1, B)) | ![D: $i] : ((~v1_finset_1(D)) | (~m1_subset_1(D, k1_zfmisc_1(u1_struct_0(B!1)))) | r4_waybel_0(B!1, B, C, D)))) | (~(v4_waybel34(C, B!1, B) | (~((~m1_subset_1(tptp_fun_D_5(C, B, B!1), k1_zfmisc_1(u1_struct_0(B!1)))) | (~v1_finset_1(tptp_fun_D_5(C, B, B!1))) | r4_waybel_0(B!1, B, C, tptp_fun_D_5(C, B, B!1)))))))))))) <=> ((~![A: $i] : (v3_struct_0(A) | (~l1_orders_2(A)) | ![B: $i] : (v3_struct_0(B) | (~l1_orders_2(B)) | ![C: $i] : ((~v1_funct_1(C)) | (~v1_funct_2(C, u1_struct_0(A), u1_struct_0(B))) | (~m2_relset_1(C, u1_struct_0(A), u1_struct_0(B))) | (~((~((~v4_waybel34(C, A, B)) | ![D: $i] : (r4_waybel_0(A, B, C, D) | (~v1_finset_1(D)) | (~m1_subset_1(D, k1_zfmisc_1(u1_struct_0(A))))))) | (~(v4_waybel34(C, A, B) | (~(r4_waybel_0(A, B, C, tptp_fun_D_5(C, B, A)) | (~v1_finset_1(tptp_fun_D_5(C, B, A))) | (~m1_subset_1(tptp_fun_D_5(C, B, A), k1_zfmisc_1(u1_struct_0(A)))))))))))))) | v3_struct_0(B!1) | (~l1_orders_2(B!1)) | ![B: $i] : (v3_struct_0(B) | (~l1_orders_2(B)) | ![C: $i] : ((~v1_funct_1(C)) | (~m2_relset_1(C, u1_struct_0(B!1), u1_struct_0(B))) | (~v1_funct_2(C, u1_struct_0(B!1), u1_struct_0(B))) | (~((~((~v4_waybel34(C, B!1, B)) | ![D: $i] : ((~v1_finset_1(D)) | (~m1_subset_1(D, k1_zfmisc_1(u1_struct_0(B!1)))) | r4_waybel_0(B!1, B, C, D)))) | (~(v4_waybel34(C, B!1, B) | (~((~m1_subset_1(tptp_fun_D_5(C, B, B!1), k1_zfmisc_1(u1_struct_0(B!1)))) | (~v1_finset_1(tptp_fun_D_5(C, B, B!1))) | r4_waybel_0(B!1, B, C, tptp_fun_D_5(C, B, B!1)))))))))))),
% 0.50/0.71 inference(rewrite,[status(thm)],[])).
% 0.50/0.71 tff(336,plain,
% 0.50/0.71 ((v3_struct_0(B!1) | (~l1_orders_2(B!1)) | ![B: $i] : (v3_struct_0(B) | (~l1_orders_2(B)) | ![C: $i] : ((~v1_funct_1(C)) | (~v1_funct_2(C, u1_struct_0(B!1), u1_struct_0(B))) | (~m2_relset_1(C, u1_struct_0(B!1), u1_struct_0(B))) | (~((~((~v4_waybel34(C, B!1, B)) | ![D: $i] : (r4_waybel_0(B!1, B, C, D) | (~v1_finset_1(D)) | (~m1_subset_1(D, k1_zfmisc_1(u1_struct_0(B!1))))))) | (~(v4_waybel34(C, B!1, B) | (~(r4_waybel_0(B!1, B, C, tptp_fun_D_5(C, B, B!1)) | (~v1_finset_1(tptp_fun_D_5(C, B, B!1))) | (~m1_subset_1(tptp_fun_D_5(C, B, B!1), k1_zfmisc_1(u1_struct_0(B!1))))))))))))) <=> (v3_struct_0(B!1) | (~l1_orders_2(B!1)) | ![B: $i] : (v3_struct_0(B) | (~l1_orders_2(B)) | ![C: $i] : ((~v1_funct_1(C)) | (~m2_relset_1(C, u1_struct_0(B!1), u1_struct_0(B))) | (~v1_funct_2(C, u1_struct_0(B!1), u1_struct_0(B))) | (~((~((~v4_waybel34(C, B!1, B)) | ![D: $i] : ((~v1_finset_1(D)) | (~m1_subset_1(D, k1_zfmisc_1(u1_struct_0(B!1)))) | r4_waybel_0(B!1, B, C, D)))) | (~(v4_waybel34(C, B!1, B) | (~((~m1_subset_1(tptp_fun_D_5(C, B, B!1), k1_zfmisc_1(u1_struct_0(B!1)))) | (~v1_finset_1(tptp_fun_D_5(C, B, B!1))) | r4_waybel_0(B!1, B, C, tptp_fun_D_5(C, B, B!1)))))))))))),
% 0.50/0.71 inference(rewrite,[status(thm)],[])).
% 0.50/0.71 tff(337,plain,
% 0.50/0.71 (((~![A: $i] : (v3_struct_0(A) | (~l1_orders_2(A)) | ![B: $i] : (v3_struct_0(B) | (~l1_orders_2(B)) | ![C: $i] : ((~v1_funct_1(C)) | (~v1_funct_2(C, u1_struct_0(A), u1_struct_0(B))) | (~m2_relset_1(C, u1_struct_0(A), u1_struct_0(B))) | (~((~((~v4_waybel34(C, A, B)) | ![D: $i] : (r4_waybel_0(A, B, C, D) | (~v1_finset_1(D)) | (~m1_subset_1(D, k1_zfmisc_1(u1_struct_0(A))))))) | (~(v4_waybel34(C, A, B) | (~(r4_waybel_0(A, B, C, tptp_fun_D_5(C, B, A)) | (~v1_finset_1(tptp_fun_D_5(C, B, A))) | (~m1_subset_1(tptp_fun_D_5(C, B, A), k1_zfmisc_1(u1_struct_0(A)))))))))))))) | (v3_struct_0(B!1) | (~l1_orders_2(B!1)) | ![B: $i] : (v3_struct_0(B) | (~l1_orders_2(B)) | ![C: $i] : ((~v1_funct_1(C)) | (~v1_funct_2(C, u1_struct_0(B!1), u1_struct_0(B))) | (~m2_relset_1(C, u1_struct_0(B!1), u1_struct_0(B))) | (~((~((~v4_waybel34(C, B!1, B)) | ![D: $i] : (r4_waybel_0(B!1, B, C, D) | (~v1_finset_1(D)) | (~m1_subset_1(D, k1_zfmisc_1(u1_struct_0(B!1))))))) | (~(v4_waybel34(C, B!1, B) | (~(r4_waybel_0(B!1, B, C, tptp_fun_D_5(C, B, B!1)) | (~v1_finset_1(tptp_fun_D_5(C, B, B!1))) | (~m1_subset_1(tptp_fun_D_5(C, B, B!1), k1_zfmisc_1(u1_struct_0(B!1)))))))))))))) <=> ((~![A: $i] : (v3_struct_0(A) | (~l1_orders_2(A)) | ![B: $i] : (v3_struct_0(B) | (~l1_orders_2(B)) | ![C: $i] : ((~v1_funct_1(C)) | (~v1_funct_2(C, u1_struct_0(A), u1_struct_0(B))) | (~m2_relset_1(C, u1_struct_0(A), u1_struct_0(B))) | (~((~((~v4_waybel34(C, A, B)) | ![D: $i] : (r4_waybel_0(A, B, C, D) | (~v1_finset_1(D)) | (~m1_subset_1(D, k1_zfmisc_1(u1_struct_0(A))))))) | (~(v4_waybel34(C, A, B) | (~(r4_waybel_0(A, B, C, tptp_fun_D_5(C, B, A)) | (~v1_finset_1(tptp_fun_D_5(C, B, A))) | (~m1_subset_1(tptp_fun_D_5(C, B, A), k1_zfmisc_1(u1_struct_0(A)))))))))))))) | (v3_struct_0(B!1) | (~l1_orders_2(B!1)) | ![B: $i] : (v3_struct_0(B) | (~l1_orders_2(B)) | ![C: $i] : ((~v1_funct_1(C)) | (~m2_relset_1(C, u1_struct_0(B!1), u1_struct_0(B))) | (~v1_funct_2(C, u1_struct_0(B!1), u1_struct_0(B))) | (~((~((~v4_waybel34(C, B!1, B)) | ![D: $i] : ((~v1_finset_1(D)) | (~m1_subset_1(D, k1_zfmisc_1(u1_struct_0(B!1)))) | r4_waybel_0(B!1, B, C, D)))) | (~(v4_waybel34(C, B!1, B) | (~((~m1_subset_1(tptp_fun_D_5(C, B, B!1), k1_zfmisc_1(u1_struct_0(B!1)))) | (~v1_finset_1(tptp_fun_D_5(C, B, B!1))) | r4_waybel_0(B!1, B, C, tptp_fun_D_5(C, B, B!1))))))))))))),
% 0.50/0.71 inference(monotonicity,[status(thm)],[336])).
% 0.50/0.71 tff(338,plain,
% 0.50/0.71 (((~![A: $i] : (v3_struct_0(A) | (~l1_orders_2(A)) | ![B: $i] : (v3_struct_0(B) | (~l1_orders_2(B)) | ![C: $i] : ((~v1_funct_1(C)) | (~v1_funct_2(C, u1_struct_0(A), u1_struct_0(B))) | (~m2_relset_1(C, u1_struct_0(A), u1_struct_0(B))) | (~((~((~v4_waybel34(C, A, B)) | ![D: $i] : (r4_waybel_0(A, B, C, D) | (~v1_finset_1(D)) | (~m1_subset_1(D, k1_zfmisc_1(u1_struct_0(A))))))) | (~(v4_waybel34(C, A, B) | (~(r4_waybel_0(A, B, C, tptp_fun_D_5(C, B, A)) | (~v1_finset_1(tptp_fun_D_5(C, B, A))) | (~m1_subset_1(tptp_fun_D_5(C, B, A), k1_zfmisc_1(u1_struct_0(A)))))))))))))) | (v3_struct_0(B!1) | (~l1_orders_2(B!1)) | ![B: $i] : (v3_struct_0(B) | (~l1_orders_2(B)) | ![C: $i] : ((~v1_funct_1(C)) | (~v1_funct_2(C, u1_struct_0(B!1), u1_struct_0(B))) | (~m2_relset_1(C, u1_struct_0(B!1), u1_struct_0(B))) | (~((~((~v4_waybel34(C, B!1, B)) | ![D: $i] : (r4_waybel_0(B!1, B, C, D) | (~v1_finset_1(D)) | (~m1_subset_1(D, k1_zfmisc_1(u1_struct_0(B!1))))))) | (~(v4_waybel34(C, B!1, B) | (~(r4_waybel_0(B!1, B, C, tptp_fun_D_5(C, B, B!1)) | (~v1_finset_1(tptp_fun_D_5(C, B, B!1))) | (~m1_subset_1(tptp_fun_D_5(C, B, B!1), k1_zfmisc_1(u1_struct_0(B!1)))))))))))))) <=> ((~![A: $i] : (v3_struct_0(A) | (~l1_orders_2(A)) | ![B: $i] : (v3_struct_0(B) | (~l1_orders_2(B)) | ![C: $i] : ((~v1_funct_1(C)) | (~v1_funct_2(C, u1_struct_0(A), u1_struct_0(B))) | (~m2_relset_1(C, u1_struct_0(A), u1_struct_0(B))) | (~((~((~v4_waybel34(C, A, B)) | ![D: $i] : (r4_waybel_0(A, B, C, D) | (~v1_finset_1(D)) | (~m1_subset_1(D, k1_zfmisc_1(u1_struct_0(A))))))) | (~(v4_waybel34(C, A, B) | (~(r4_waybel_0(A, B, C, tptp_fun_D_5(C, B, A)) | (~v1_finset_1(tptp_fun_D_5(C, B, A))) | (~m1_subset_1(tptp_fun_D_5(C, B, A), k1_zfmisc_1(u1_struct_0(A)))))))))))))) | v3_struct_0(B!1) | (~l1_orders_2(B!1)) | ![B: $i] : (v3_struct_0(B) | (~l1_orders_2(B)) | ![C: $i] : ((~v1_funct_1(C)) | (~m2_relset_1(C, u1_struct_0(B!1), u1_struct_0(B))) | (~v1_funct_2(C, u1_struct_0(B!1), u1_struct_0(B))) | (~((~((~v4_waybel34(C, B!1, B)) | ![D: $i] : ((~v1_finset_1(D)) | (~m1_subset_1(D, k1_zfmisc_1(u1_struct_0(B!1)))) | r4_waybel_0(B!1, B, C, D)))) | (~(v4_waybel34(C, B!1, B) | (~((~m1_subset_1(tptp_fun_D_5(C, B, B!1), k1_zfmisc_1(u1_struct_0(B!1)))) | (~v1_finset_1(tptp_fun_D_5(C, B, B!1))) | r4_waybel_0(B!1, B, C, tptp_fun_D_5(C, B, B!1)))))))))))),
% 0.50/0.71 inference(transitivity,[status(thm)],[337, 335])).
% 0.50/0.71 tff(339,plain,
% 0.50/0.71 ((~![A: $i] : (v3_struct_0(A) | (~l1_orders_2(A)) | ![B: $i] : (v3_struct_0(B) | (~l1_orders_2(B)) | ![C: $i] : ((~v1_funct_1(C)) | (~v1_funct_2(C, u1_struct_0(A), u1_struct_0(B))) | (~m2_relset_1(C, u1_struct_0(A), u1_struct_0(B))) | (~((~((~v4_waybel34(C, A, B)) | ![D: $i] : (r4_waybel_0(A, B, C, D) | (~v1_finset_1(D)) | (~m1_subset_1(D, k1_zfmisc_1(u1_struct_0(A))))))) | (~(v4_waybel34(C, A, B) | (~(r4_waybel_0(A, B, C, tptp_fun_D_5(C, B, A)) | (~v1_finset_1(tptp_fun_D_5(C, B, A))) | (~m1_subset_1(tptp_fun_D_5(C, B, A), k1_zfmisc_1(u1_struct_0(A)))))))))))))) | (v3_struct_0(B!1) | (~l1_orders_2(B!1)) | ![B: $i] : (v3_struct_0(B) | (~l1_orders_2(B)) | ![C: $i] : ((~v1_funct_1(C)) | (~v1_funct_2(C, u1_struct_0(B!1), u1_struct_0(B))) | (~m2_relset_1(C, u1_struct_0(B!1), u1_struct_0(B))) | (~((~((~v4_waybel34(C, B!1, B)) | ![D: $i] : (r4_waybel_0(B!1, B, C, D) | (~v1_finset_1(D)) | (~m1_subset_1(D, k1_zfmisc_1(u1_struct_0(B!1))))))) | (~(v4_waybel34(C, B!1, B) | (~(r4_waybel_0(B!1, B, C, tptp_fun_D_5(C, B, B!1)) | (~v1_finset_1(tptp_fun_D_5(C, B, B!1))) | (~m1_subset_1(tptp_fun_D_5(C, B, B!1), k1_zfmisc_1(u1_struct_0(B!1)))))))))))))),
% 0.50/0.71 inference(quant_inst,[status(thm)],[])).
% 0.50/0.71 tff(340,plain,
% 0.50/0.71 ((~![A: $i] : (v3_struct_0(A) | (~l1_orders_2(A)) | ![B: $i] : (v3_struct_0(B) | (~l1_orders_2(B)) | ![C: $i] : ((~v1_funct_1(C)) | (~v1_funct_2(C, u1_struct_0(A), u1_struct_0(B))) | (~m2_relset_1(C, u1_struct_0(A), u1_struct_0(B))) | (~((~((~v4_waybel34(C, A, B)) | ![D: $i] : (r4_waybel_0(A, B, C, D) | (~v1_finset_1(D)) | (~m1_subset_1(D, k1_zfmisc_1(u1_struct_0(A))))))) | (~(v4_waybel34(C, A, B) | (~(r4_waybel_0(A, B, C, tptp_fun_D_5(C, B, A)) | (~v1_finset_1(tptp_fun_D_5(C, B, A))) | (~m1_subset_1(tptp_fun_D_5(C, B, A), k1_zfmisc_1(u1_struct_0(A)))))))))))))) | v3_struct_0(B!1) | (~l1_orders_2(B!1)) | ![B: $i] : (v3_struct_0(B) | (~l1_orders_2(B)) | ![C: $i] : ((~v1_funct_1(C)) | (~m2_relset_1(C, u1_struct_0(B!1), u1_struct_0(B))) | (~v1_funct_2(C, u1_struct_0(B!1), u1_struct_0(B))) | (~((~((~v4_waybel34(C, B!1, B)) | ![D: $i] : ((~v1_finset_1(D)) | (~m1_subset_1(D, k1_zfmisc_1(u1_struct_0(B!1)))) | r4_waybel_0(B!1, B, C, D)))) | (~(v4_waybel34(C, B!1, B) | (~((~m1_subset_1(tptp_fun_D_5(C, B, B!1), k1_zfmisc_1(u1_struct_0(B!1)))) | (~v1_finset_1(tptp_fun_D_5(C, B, B!1))) | r4_waybel_0(B!1, B, C, tptp_fun_D_5(C, B, B!1))))))))))),
% 0.50/0.71 inference(modus_ponens,[status(thm)],[339, 338])).
% 0.50/0.71 tff(341,plain,
% 0.50/0.71 (![B: $i] : (v3_struct_0(B) | (~l1_orders_2(B)) | ![C: $i] : ((~v1_funct_1(C)) | (~m2_relset_1(C, u1_struct_0(B!1), u1_struct_0(B))) | (~v1_funct_2(C, u1_struct_0(B!1), u1_struct_0(B))) | (~((~((~v4_waybel34(C, B!1, B)) | ![D: $i] : ((~v1_finset_1(D)) | (~m1_subset_1(D, k1_zfmisc_1(u1_struct_0(B!1)))) | r4_waybel_0(B!1, B, C, D)))) | (~(v4_waybel34(C, B!1, B) | (~((~m1_subset_1(tptp_fun_D_5(C, B, B!1), k1_zfmisc_1(u1_struct_0(B!1)))) | (~v1_finset_1(tptp_fun_D_5(C, B, B!1))) | r4_waybel_0(B!1, B, C, tptp_fun_D_5(C, B, B!1))))))))))),
% 0.50/0.71 inference(unit_resolution,[status(thm)],[340, 114, 45, 207])).
% 0.50/0.71 tff(342,plain,
% 0.50/0.71 (((~![B: $i] : (v3_struct_0(B) | (~l1_orders_2(B)) | ![C: $i] : ((~v1_funct_1(C)) | (~m2_relset_1(C, u1_struct_0(B!1), u1_struct_0(B))) | (~v1_funct_2(C, u1_struct_0(B!1), u1_struct_0(B))) | (~((~((~v4_waybel34(C, B!1, B)) | ![D: $i] : ((~v1_finset_1(D)) | (~m1_subset_1(D, k1_zfmisc_1(u1_struct_0(B!1)))) | r4_waybel_0(B!1, B, C, D)))) | (~(v4_waybel34(C, B!1, B) | (~((~m1_subset_1(tptp_fun_D_5(C, B, B!1), k1_zfmisc_1(u1_struct_0(B!1)))) | (~v1_finset_1(tptp_fun_D_5(C, B, B!1))) | r4_waybel_0(B!1, B, C, tptp_fun_D_5(C, B, B!1))))))))))) | (v3_struct_0(C!2) | (~l1_orders_2(C!2)) | ![C: $i] : ((~v1_funct_1(C)) | (~m2_relset_1(C, u1_struct_0(B!1), u1_struct_0(C!2))) | (~v1_funct_2(C, u1_struct_0(B!1), u1_struct_0(C!2))) | (~((~((~v4_waybel34(C, B!1, C!2)) | ![D: $i] : ((~v1_finset_1(D)) | (~m1_subset_1(D, k1_zfmisc_1(u1_struct_0(B!1)))) | r4_waybel_0(B!1, C!2, C, D)))) | (~(v4_waybel34(C, B!1, C!2) | (~(r4_waybel_0(B!1, C!2, C, tptp_fun_D_5(C, C!2, B!1)) | (~v1_finset_1(tptp_fun_D_5(C, C!2, B!1))) | (~m1_subset_1(tptp_fun_D_5(C, C!2, B!1), k1_zfmisc_1(u1_struct_0(B!1))))))))))))) <=> ((~![B: $i] : (v3_struct_0(B) | (~l1_orders_2(B)) | ![C: $i] : ((~v1_funct_1(C)) | (~m2_relset_1(C, u1_struct_0(B!1), u1_struct_0(B))) | (~v1_funct_2(C, u1_struct_0(B!1), u1_struct_0(B))) | (~((~((~v4_waybel34(C, B!1, B)) | ![D: $i] : ((~v1_finset_1(D)) | (~m1_subset_1(D, k1_zfmisc_1(u1_struct_0(B!1)))) | r4_waybel_0(B!1, B, C, D)))) | (~(v4_waybel34(C, B!1, B) | (~((~m1_subset_1(tptp_fun_D_5(C, B, B!1), k1_zfmisc_1(u1_struct_0(B!1)))) | (~v1_finset_1(tptp_fun_D_5(C, B, B!1))) | r4_waybel_0(B!1, B, C, tptp_fun_D_5(C, B, B!1))))))))))) | v3_struct_0(C!2) | (~l1_orders_2(C!2)) | ![C: $i] : ((~v1_funct_1(C)) | (~m2_relset_1(C, u1_struct_0(B!1), u1_struct_0(C!2))) | (~v1_funct_2(C, u1_struct_0(B!1), u1_struct_0(C!2))) | (~((~((~v4_waybel34(C, B!1, C!2)) | ![D: $i] : ((~v1_finset_1(D)) | (~m1_subset_1(D, k1_zfmisc_1(u1_struct_0(B!1)))) | r4_waybel_0(B!1, C!2, C, D)))) | (~(v4_waybel34(C, B!1, C!2) | (~(r4_waybel_0(B!1, C!2, C, tptp_fun_D_5(C, C!2, B!1)) | (~v1_finset_1(tptp_fun_D_5(C, C!2, B!1))) | (~m1_subset_1(tptp_fun_D_5(C, C!2, B!1), k1_zfmisc_1(u1_struct_0(B!1))))))))))))),
% 0.50/0.71 inference(rewrite,[status(thm)],[])).
% 0.50/0.71 tff(343,plain,
% 0.50/0.71 ((v3_struct_0(C!2) | (~l1_orders_2(C!2)) | ![C: $i] : ((~v1_funct_1(C)) | (~m2_relset_1(C, u1_struct_0(B!1), u1_struct_0(C!2))) | (~v1_funct_2(C, u1_struct_0(B!1), u1_struct_0(C!2))) | (~((~((~v4_waybel34(C, B!1, C!2)) | ![D: $i] : ((~v1_finset_1(D)) | (~m1_subset_1(D, k1_zfmisc_1(u1_struct_0(B!1)))) | r4_waybel_0(B!1, C!2, C, D)))) | (~(v4_waybel34(C, B!1, C!2) | (~((~m1_subset_1(tptp_fun_D_5(C, C!2, B!1), k1_zfmisc_1(u1_struct_0(B!1)))) | (~v1_finset_1(tptp_fun_D_5(C, C!2, B!1))) | r4_waybel_0(B!1, C!2, C, tptp_fun_D_5(C, C!2, B!1)))))))))) <=> (v3_struct_0(C!2) | (~l1_orders_2(C!2)) | ![C: $i] : ((~v1_funct_1(C)) | (~m2_relset_1(C, u1_struct_0(B!1), u1_struct_0(C!2))) | (~v1_funct_2(C, u1_struct_0(B!1), u1_struct_0(C!2))) | (~((~((~v4_waybel34(C, B!1, C!2)) | ![D: $i] : ((~v1_finset_1(D)) | (~m1_subset_1(D, k1_zfmisc_1(u1_struct_0(B!1)))) | r4_waybel_0(B!1, C!2, C, D)))) | (~(v4_waybel34(C, B!1, C!2) | (~(r4_waybel_0(B!1, C!2, C, tptp_fun_D_5(C, C!2, B!1)) | (~v1_finset_1(tptp_fun_D_5(C, C!2, B!1))) | (~m1_subset_1(tptp_fun_D_5(C, C!2, B!1), k1_zfmisc_1(u1_struct_0(B!1))))))))))))),
% 0.50/0.72 inference(rewrite,[status(thm)],[])).
% 0.50/0.72 tff(344,plain,
% 0.50/0.72 (((~![B: $i] : (v3_struct_0(B) | (~l1_orders_2(B)) | ![C: $i] : ((~v1_funct_1(C)) | (~m2_relset_1(C, u1_struct_0(B!1), u1_struct_0(B))) | (~v1_funct_2(C, u1_struct_0(B!1), u1_struct_0(B))) | (~((~((~v4_waybel34(C, B!1, B)) | ![D: $i] : ((~v1_finset_1(D)) | (~m1_subset_1(D, k1_zfmisc_1(u1_struct_0(B!1)))) | r4_waybel_0(B!1, B, C, D)))) | (~(v4_waybel34(C, B!1, B) | (~((~m1_subset_1(tptp_fun_D_5(C, B, B!1), k1_zfmisc_1(u1_struct_0(B!1)))) | (~v1_finset_1(tptp_fun_D_5(C, B, B!1))) | r4_waybel_0(B!1, B, C, tptp_fun_D_5(C, B, B!1))))))))))) | (v3_struct_0(C!2) | (~l1_orders_2(C!2)) | ![C: $i] : ((~v1_funct_1(C)) | (~m2_relset_1(C, u1_struct_0(B!1), u1_struct_0(C!2))) | (~v1_funct_2(C, u1_struct_0(B!1), u1_struct_0(C!2))) | (~((~((~v4_waybel34(C, B!1, C!2)) | ![D: $i] : ((~v1_finset_1(D)) | (~m1_subset_1(D, k1_zfmisc_1(u1_struct_0(B!1)))) | r4_waybel_0(B!1, C!2, C, D)))) | (~(v4_waybel34(C, B!1, C!2) | (~((~m1_subset_1(tptp_fun_D_5(C, C!2, B!1), k1_zfmisc_1(u1_struct_0(B!1)))) | (~v1_finset_1(tptp_fun_D_5(C, C!2, B!1))) | r4_waybel_0(B!1, C!2, C, tptp_fun_D_5(C, C!2, B!1))))))))))) <=> ((~![B: $i] : (v3_struct_0(B) | (~l1_orders_2(B)) | ![C: $i] : ((~v1_funct_1(C)) | (~m2_relset_1(C, u1_struct_0(B!1), u1_struct_0(B))) | (~v1_funct_2(C, u1_struct_0(B!1), u1_struct_0(B))) | (~((~((~v4_waybel34(C, B!1, B)) | ![D: $i] : ((~v1_finset_1(D)) | (~m1_subset_1(D, k1_zfmisc_1(u1_struct_0(B!1)))) | r4_waybel_0(B!1, B, C, D)))) | (~(v4_waybel34(C, B!1, B) | (~((~m1_subset_1(tptp_fun_D_5(C, B, B!1), k1_zfmisc_1(u1_struct_0(B!1)))) | (~v1_finset_1(tptp_fun_D_5(C, B, B!1))) | r4_waybel_0(B!1, B, C, tptp_fun_D_5(C, B, B!1))))))))))) | (v3_struct_0(C!2) | (~l1_orders_2(C!2)) | ![C: $i] : ((~v1_funct_1(C)) | (~m2_relset_1(C, u1_struct_0(B!1), u1_struct_0(C!2))) | (~v1_funct_2(C, u1_struct_0(B!1), u1_struct_0(C!2))) | (~((~((~v4_waybel34(C, B!1, C!2)) | ![D: $i] : ((~v1_finset_1(D)) | (~m1_subset_1(D, k1_zfmisc_1(u1_struct_0(B!1)))) | r4_waybel_0(B!1, C!2, C, D)))) | (~(v4_waybel34(C, B!1, C!2) | (~(r4_waybel_0(B!1, C!2, C, tptp_fun_D_5(C, C!2, B!1)) | (~v1_finset_1(tptp_fun_D_5(C, C!2, B!1))) | (~m1_subset_1(tptp_fun_D_5(C, C!2, B!1), k1_zfmisc_1(u1_struct_0(B!1)))))))))))))),
% 0.50/0.72 inference(monotonicity,[status(thm)],[343])).
% 0.50/0.72 tff(345,plain,
% 0.50/0.72 (((~![B: $i] : (v3_struct_0(B) | (~l1_orders_2(B)) | ![C: $i] : ((~v1_funct_1(C)) | (~m2_relset_1(C, u1_struct_0(B!1), u1_struct_0(B))) | (~v1_funct_2(C, u1_struct_0(B!1), u1_struct_0(B))) | (~((~((~v4_waybel34(C, B!1, B)) | ![D: $i] : ((~v1_finset_1(D)) | (~m1_subset_1(D, k1_zfmisc_1(u1_struct_0(B!1)))) | r4_waybel_0(B!1, B, C, D)))) | (~(v4_waybel34(C, B!1, B) | (~((~m1_subset_1(tptp_fun_D_5(C, B, B!1), k1_zfmisc_1(u1_struct_0(B!1)))) | (~v1_finset_1(tptp_fun_D_5(C, B, B!1))) | r4_waybel_0(B!1, B, C, tptp_fun_D_5(C, B, B!1))))))))))) | (v3_struct_0(C!2) | (~l1_orders_2(C!2)) | ![C: $i] : ((~v1_funct_1(C)) | (~m2_relset_1(C, u1_struct_0(B!1), u1_struct_0(C!2))) | (~v1_funct_2(C, u1_struct_0(B!1), u1_struct_0(C!2))) | (~((~((~v4_waybel34(C, B!1, C!2)) | ![D: $i] : ((~v1_finset_1(D)) | (~m1_subset_1(D, k1_zfmisc_1(u1_struct_0(B!1)))) | r4_waybel_0(B!1, C!2, C, D)))) | (~(v4_waybel34(C, B!1, C!2) | (~((~m1_subset_1(tptp_fun_D_5(C, C!2, B!1), k1_zfmisc_1(u1_struct_0(B!1)))) | (~v1_finset_1(tptp_fun_D_5(C, C!2, B!1))) | r4_waybel_0(B!1, C!2, C, tptp_fun_D_5(C, C!2, B!1))))))))))) <=> ((~![B: $i] : (v3_struct_0(B) | (~l1_orders_2(B)) | ![C: $i] : ((~v1_funct_1(C)) | (~m2_relset_1(C, u1_struct_0(B!1), u1_struct_0(B))) | (~v1_funct_2(C, u1_struct_0(B!1), u1_struct_0(B))) | (~((~((~v4_waybel34(C, B!1, B)) | ![D: $i] : ((~v1_finset_1(D)) | (~m1_subset_1(D, k1_zfmisc_1(u1_struct_0(B!1)))) | r4_waybel_0(B!1, B, C, D)))) | (~(v4_waybel34(C, B!1, B) | (~((~m1_subset_1(tptp_fun_D_5(C, B, B!1), k1_zfmisc_1(u1_struct_0(B!1)))) | (~v1_finset_1(tptp_fun_D_5(C, B, B!1))) | r4_waybel_0(B!1, B, C, tptp_fun_D_5(C, B, B!1))))))))))) | v3_struct_0(C!2) | (~l1_orders_2(C!2)) | ![C: $i] : ((~v1_funct_1(C)) | (~m2_relset_1(C, u1_struct_0(B!1), u1_struct_0(C!2))) | (~v1_funct_2(C, u1_struct_0(B!1), u1_struct_0(C!2))) | (~((~((~v4_waybel34(C, B!1, C!2)) | ![D: $i] : ((~v1_finset_1(D)) | (~m1_subset_1(D, k1_zfmisc_1(u1_struct_0(B!1)))) | r4_waybel_0(B!1, C!2, C, D)))) | (~(v4_waybel34(C, B!1, C!2) | (~(r4_waybel_0(B!1, C!2, C, tptp_fun_D_5(C, C!2, B!1)) | (~v1_finset_1(tptp_fun_D_5(C, C!2, B!1))) | (~m1_subset_1(tptp_fun_D_5(C, C!2, B!1), k1_zfmisc_1(u1_struct_0(B!1))))))))))))),
% 0.50/0.72 inference(transitivity,[status(thm)],[344, 342])).
% 0.50/0.72 tff(346,plain,
% 0.50/0.72 ((~![B: $i] : (v3_struct_0(B) | (~l1_orders_2(B)) | ![C: $i] : ((~v1_funct_1(C)) | (~m2_relset_1(C, u1_struct_0(B!1), u1_struct_0(B))) | (~v1_funct_2(C, u1_struct_0(B!1), u1_struct_0(B))) | (~((~((~v4_waybel34(C, B!1, B)) | ![D: $i] : ((~v1_finset_1(D)) | (~m1_subset_1(D, k1_zfmisc_1(u1_struct_0(B!1)))) | r4_waybel_0(B!1, B, C, D)))) | (~(v4_waybel34(C, B!1, B) | (~((~m1_subset_1(tptp_fun_D_5(C, B, B!1), k1_zfmisc_1(u1_struct_0(B!1)))) | (~v1_finset_1(tptp_fun_D_5(C, B, B!1))) | r4_waybel_0(B!1, B, C, tptp_fun_D_5(C, B, B!1))))))))))) | (v3_struct_0(C!2) | (~l1_orders_2(C!2)) | ![C: $i] : ((~v1_funct_1(C)) | (~m2_relset_1(C, u1_struct_0(B!1), u1_struct_0(C!2))) | (~v1_funct_2(C, u1_struct_0(B!1), u1_struct_0(C!2))) | (~((~((~v4_waybel34(C, B!1, C!2)) | ![D: $i] : ((~v1_finset_1(D)) | (~m1_subset_1(D, k1_zfmisc_1(u1_struct_0(B!1)))) | r4_waybel_0(B!1, C!2, C, D)))) | (~(v4_waybel34(C, B!1, C!2) | (~((~m1_subset_1(tptp_fun_D_5(C, C!2, B!1), k1_zfmisc_1(u1_struct_0(B!1)))) | (~v1_finset_1(tptp_fun_D_5(C, C!2, B!1))) | r4_waybel_0(B!1, C!2, C, tptp_fun_D_5(C, C!2, B!1))))))))))),
% 0.50/0.72 inference(quant_inst,[status(thm)],[])).
% 0.50/0.72 tff(347,plain,
% 0.50/0.72 ((~![B: $i] : (v3_struct_0(B) | (~l1_orders_2(B)) | ![C: $i] : ((~v1_funct_1(C)) | (~m2_relset_1(C, u1_struct_0(B!1), u1_struct_0(B))) | (~v1_funct_2(C, u1_struct_0(B!1), u1_struct_0(B))) | (~((~((~v4_waybel34(C, B!1, B)) | ![D: $i] : ((~v1_finset_1(D)) | (~m1_subset_1(D, k1_zfmisc_1(u1_struct_0(B!1)))) | r4_waybel_0(B!1, B, C, D)))) | (~(v4_waybel34(C, B!1, B) | (~((~m1_subset_1(tptp_fun_D_5(C, B, B!1), k1_zfmisc_1(u1_struct_0(B!1)))) | (~v1_finset_1(tptp_fun_D_5(C, B, B!1))) | r4_waybel_0(B!1, B, C, tptp_fun_D_5(C, B, B!1))))))))))) | v3_struct_0(C!2) | (~l1_orders_2(C!2)) | ![C: $i] : ((~v1_funct_1(C)) | (~m2_relset_1(C, u1_struct_0(B!1), u1_struct_0(C!2))) | (~v1_funct_2(C, u1_struct_0(B!1), u1_struct_0(C!2))) | (~((~((~v4_waybel34(C, B!1, C!2)) | ![D: $i] : ((~v1_finset_1(D)) | (~m1_subset_1(D, k1_zfmisc_1(u1_struct_0(B!1)))) | r4_waybel_0(B!1, C!2, C, D)))) | (~(v4_waybel34(C, B!1, C!2) | (~(r4_waybel_0(B!1, C!2, C, tptp_fun_D_5(C, C!2, B!1)) | (~v1_finset_1(tptp_fun_D_5(C, C!2, B!1))) | (~m1_subset_1(tptp_fun_D_5(C, C!2, B!1), k1_zfmisc_1(u1_struct_0(B!1)))))))))))),
% 0.50/0.72 inference(modus_ponens,[status(thm)],[346, 345])).
% 0.50/0.72 tff(348,plain,
% 0.50/0.72 (![C: $i] : ((~v1_funct_1(C)) | (~m2_relset_1(C, u1_struct_0(B!1), u1_struct_0(C!2))) | (~v1_funct_2(C, u1_struct_0(B!1), u1_struct_0(C!2))) | (~((~((~v4_waybel34(C, B!1, C!2)) | ![D: $i] : ((~v1_finset_1(D)) | (~m1_subset_1(D, k1_zfmisc_1(u1_struct_0(B!1)))) | r4_waybel_0(B!1, C!2, C, D)))) | (~(v4_waybel34(C, B!1, C!2) | (~(r4_waybel_0(B!1, C!2, C, tptp_fun_D_5(C, C!2, B!1)) | (~v1_finset_1(tptp_fun_D_5(C, C!2, B!1))) | (~m1_subset_1(tptp_fun_D_5(C, C!2, B!1), k1_zfmisc_1(u1_struct_0(B!1)))))))))))),
% 0.50/0.72 inference(unit_resolution,[status(thm)],[347, 217, 216, 341])).
% 0.50/0.72 tff(349,plain,
% 0.50/0.72 (((~![C: $i] : ((~v1_funct_1(C)) | (~m2_relset_1(C, u1_struct_0(B!1), u1_struct_0(C!2))) | (~v1_funct_2(C, u1_struct_0(B!1), u1_struct_0(C!2))) | (~((~((~v4_waybel34(C, B!1, C!2)) | ![D: $i] : ((~v1_finset_1(D)) | (~m1_subset_1(D, k1_zfmisc_1(u1_struct_0(B!1)))) | r4_waybel_0(B!1, C!2, C, D)))) | (~(v4_waybel34(C, B!1, C!2) | (~(r4_waybel_0(B!1, C!2, C, tptp_fun_D_5(C, C!2, B!1)) | (~v1_finset_1(tptp_fun_D_5(C, C!2, B!1))) | (~m1_subset_1(tptp_fun_D_5(C, C!2, B!1), k1_zfmisc_1(u1_struct_0(B!1)))))))))))) | ((~v1_funct_1(E!4)) | (~m2_relset_1(E!4, u1_struct_0(B!1), u1_struct_0(C!2))) | (~v1_funct_2(E!4, u1_struct_0(B!1), u1_struct_0(C!2))) | (~((~((~v4_waybel34(E!4, B!1, C!2)) | ![D: $i] : ((~v1_finset_1(D)) | (~m1_subset_1(D, k1_zfmisc_1(u1_struct_0(B!1)))) | r4_waybel_0(B!1, C!2, E!4, D)))) | (~(v4_waybel34(E!4, B!1, C!2) | (~((~m1_subset_1(tptp_fun_D_5(E!4, C!2, B!1), k1_zfmisc_1(u1_struct_0(B!1)))) | (~v1_finset_1(tptp_fun_D_5(E!4, C!2, B!1))) | r4_waybel_0(B!1, C!2, E!4, tptp_fun_D_5(E!4, C!2, B!1)))))))))) <=> ((~![C: $i] : ((~v1_funct_1(C)) | (~m2_relset_1(C, u1_struct_0(B!1), u1_struct_0(C!2))) | (~v1_funct_2(C, u1_struct_0(B!1), u1_struct_0(C!2))) | (~((~((~v4_waybel34(C, B!1, C!2)) | ![D: $i] : ((~v1_finset_1(D)) | (~m1_subset_1(D, k1_zfmisc_1(u1_struct_0(B!1)))) | r4_waybel_0(B!1, C!2, C, D)))) | (~(v4_waybel34(C, B!1, C!2) | (~(r4_waybel_0(B!1, C!2, C, tptp_fun_D_5(C, C!2, B!1)) | (~v1_finset_1(tptp_fun_D_5(C, C!2, B!1))) | (~m1_subset_1(tptp_fun_D_5(C, C!2, B!1), k1_zfmisc_1(u1_struct_0(B!1)))))))))))) | (~v1_funct_1(E!4)) | (~m2_relset_1(E!4, u1_struct_0(B!1), u1_struct_0(C!2))) | (~v1_funct_2(E!4, u1_struct_0(B!1), u1_struct_0(C!2))) | (~((~((~v4_waybel34(E!4, B!1, C!2)) | ![D: $i] : ((~v1_finset_1(D)) | (~m1_subset_1(D, k1_zfmisc_1(u1_struct_0(B!1)))) | r4_waybel_0(B!1, C!2, E!4, D)))) | (~(v4_waybel34(E!4, B!1, C!2) | (~((~m1_subset_1(tptp_fun_D_5(E!4, C!2, B!1), k1_zfmisc_1(u1_struct_0(B!1)))) | (~v1_finset_1(tptp_fun_D_5(E!4, C!2, B!1))) | r4_waybel_0(B!1, C!2, E!4, tptp_fun_D_5(E!4, C!2, B!1)))))))))),
% 0.50/0.72 inference(rewrite,[status(thm)],[])).
% 0.50/0.72 tff(350,plain,
% 0.50/0.72 (((~v1_funct_1(E!4)) | (~m2_relset_1(E!4, u1_struct_0(B!1), u1_struct_0(C!2))) | (~v1_funct_2(E!4, u1_struct_0(B!1), u1_struct_0(C!2))) | (~((~((~v4_waybel34(E!4, B!1, C!2)) | ![D: $i] : ((~v1_finset_1(D)) | (~m1_subset_1(D, k1_zfmisc_1(u1_struct_0(B!1)))) | r4_waybel_0(B!1, C!2, E!4, D)))) | (~(v4_waybel34(E!4, B!1, C!2) | (~(r4_waybel_0(B!1, C!2, E!4, tptp_fun_D_5(E!4, C!2, B!1)) | (~v1_finset_1(tptp_fun_D_5(E!4, C!2, B!1))) | (~m1_subset_1(tptp_fun_D_5(E!4, C!2, B!1), k1_zfmisc_1(u1_struct_0(B!1))))))))))) <=> ((~v1_funct_1(E!4)) | (~m2_relset_1(E!4, u1_struct_0(B!1), u1_struct_0(C!2))) | (~v1_funct_2(E!4, u1_struct_0(B!1), u1_struct_0(C!2))) | (~((~((~v4_waybel34(E!4, B!1, C!2)) | ![D: $i] : ((~v1_finset_1(D)) | (~m1_subset_1(D, k1_zfmisc_1(u1_struct_0(B!1)))) | r4_waybel_0(B!1, C!2, E!4, D)))) | (~(v4_waybel34(E!4, B!1, C!2) | (~((~m1_subset_1(tptp_fun_D_5(E!4, C!2, B!1), k1_zfmisc_1(u1_struct_0(B!1)))) | (~v1_finset_1(tptp_fun_D_5(E!4, C!2, B!1))) | r4_waybel_0(B!1, C!2, E!4, tptp_fun_D_5(E!4, C!2, B!1)))))))))),
% 0.50/0.72 inference(rewrite,[status(thm)],[])).
% 0.50/0.72 tff(351,plain,
% 0.50/0.72 (((~![C: $i] : ((~v1_funct_1(C)) | (~m2_relset_1(C, u1_struct_0(B!1), u1_struct_0(C!2))) | (~v1_funct_2(C, u1_struct_0(B!1), u1_struct_0(C!2))) | (~((~((~v4_waybel34(C, B!1, C!2)) | ![D: $i] : ((~v1_finset_1(D)) | (~m1_subset_1(D, k1_zfmisc_1(u1_struct_0(B!1)))) | r4_waybel_0(B!1, C!2, C, D)))) | (~(v4_waybel34(C, B!1, C!2) | (~(r4_waybel_0(B!1, C!2, C, tptp_fun_D_5(C, C!2, B!1)) | (~v1_finset_1(tptp_fun_D_5(C, C!2, B!1))) | (~m1_subset_1(tptp_fun_D_5(C, C!2, B!1), k1_zfmisc_1(u1_struct_0(B!1)))))))))))) | ((~v1_funct_1(E!4)) | (~m2_relset_1(E!4, u1_struct_0(B!1), u1_struct_0(C!2))) | (~v1_funct_2(E!4, u1_struct_0(B!1), u1_struct_0(C!2))) | (~((~((~v4_waybel34(E!4, B!1, C!2)) | ![D: $i] : ((~v1_finset_1(D)) | (~m1_subset_1(D, k1_zfmisc_1(u1_struct_0(B!1)))) | r4_waybel_0(B!1, C!2, E!4, D)))) | (~(v4_waybel34(E!4, B!1, C!2) | (~(r4_waybel_0(B!1, C!2, E!4, tptp_fun_D_5(E!4, C!2, B!1)) | (~v1_finset_1(tptp_fun_D_5(E!4, C!2, B!1))) | (~m1_subset_1(tptp_fun_D_5(E!4, C!2, B!1), k1_zfmisc_1(u1_struct_0(B!1)))))))))))) <=> ((~![C: $i] : ((~v1_funct_1(C)) | (~m2_relset_1(C, u1_struct_0(B!1), u1_struct_0(C!2))) | (~v1_funct_2(C, u1_struct_0(B!1), u1_struct_0(C!2))) | (~((~((~v4_waybel34(C, B!1, C!2)) | ![D: $i] : ((~v1_finset_1(D)) | (~m1_subset_1(D, k1_zfmisc_1(u1_struct_0(B!1)))) | r4_waybel_0(B!1, C!2, C, D)))) | (~(v4_waybel34(C, B!1, C!2) | (~(r4_waybel_0(B!1, C!2, C, tptp_fun_D_5(C, C!2, B!1)) | (~v1_finset_1(tptp_fun_D_5(C, C!2, B!1))) | (~m1_subset_1(tptp_fun_D_5(C, C!2, B!1), k1_zfmisc_1(u1_struct_0(B!1)))))))))))) | ((~v1_funct_1(E!4)) | (~m2_relset_1(E!4, u1_struct_0(B!1), u1_struct_0(C!2))) | (~v1_funct_2(E!4, u1_struct_0(B!1), u1_struct_0(C!2))) | (~((~((~v4_waybel34(E!4, B!1, C!2)) | ![D: $i] : ((~v1_finset_1(D)) | (~m1_subset_1(D, k1_zfmisc_1(u1_struct_0(B!1)))) | r4_waybel_0(B!1, C!2, E!4, D)))) | (~(v4_waybel34(E!4, B!1, C!2) | (~((~m1_subset_1(tptp_fun_D_5(E!4, C!2, B!1), k1_zfmisc_1(u1_struct_0(B!1)))) | (~v1_finset_1(tptp_fun_D_5(E!4, C!2, B!1))) | r4_waybel_0(B!1, C!2, E!4, tptp_fun_D_5(E!4, C!2, B!1))))))))))),
% 0.50/0.72 inference(monotonicity,[status(thm)],[350])).
% 0.50/0.72 tff(352,plain,
% 0.50/0.72 (((~![C: $i] : ((~v1_funct_1(C)) | (~m2_relset_1(C, u1_struct_0(B!1), u1_struct_0(C!2))) | (~v1_funct_2(C, u1_struct_0(B!1), u1_struct_0(C!2))) | (~((~((~v4_waybel34(C, B!1, C!2)) | ![D: $i] : ((~v1_finset_1(D)) | (~m1_subset_1(D, k1_zfmisc_1(u1_struct_0(B!1)))) | r4_waybel_0(B!1, C!2, C, D)))) | (~(v4_waybel34(C, B!1, C!2) | (~(r4_waybel_0(B!1, C!2, C, tptp_fun_D_5(C, C!2, B!1)) | (~v1_finset_1(tptp_fun_D_5(C, C!2, B!1))) | (~m1_subset_1(tptp_fun_D_5(C, C!2, B!1), k1_zfmisc_1(u1_struct_0(B!1)))))))))))) | ((~v1_funct_1(E!4)) | (~m2_relset_1(E!4, u1_struct_0(B!1), u1_struct_0(C!2))) | (~v1_funct_2(E!4, u1_struct_0(B!1), u1_struct_0(C!2))) | (~((~((~v4_waybel34(E!4, B!1, C!2)) | ![D: $i] : ((~v1_finset_1(D)) | (~m1_subset_1(D, k1_zfmisc_1(u1_struct_0(B!1)))) | r4_waybel_0(B!1, C!2, E!4, D)))) | (~(v4_waybel34(E!4, B!1, C!2) | (~(r4_waybel_0(B!1, C!2, E!4, tptp_fun_D_5(E!4, C!2, B!1)) | (~v1_finset_1(tptp_fun_D_5(E!4, C!2, B!1))) | (~m1_subset_1(tptp_fun_D_5(E!4, C!2, B!1), k1_zfmisc_1(u1_struct_0(B!1)))))))))))) <=> ((~![C: $i] : ((~v1_funct_1(C)) | (~m2_relset_1(C, u1_struct_0(B!1), u1_struct_0(C!2))) | (~v1_funct_2(C, u1_struct_0(B!1), u1_struct_0(C!2))) | (~((~((~v4_waybel34(C, B!1, C!2)) | ![D: $i] : ((~v1_finset_1(D)) | (~m1_subset_1(D, k1_zfmisc_1(u1_struct_0(B!1)))) | r4_waybel_0(B!1, C!2, C, D)))) | (~(v4_waybel34(C, B!1, C!2) | (~(r4_waybel_0(B!1, C!2, C, tptp_fun_D_5(C, C!2, B!1)) | (~v1_finset_1(tptp_fun_D_5(C, C!2, B!1))) | (~m1_subset_1(tptp_fun_D_5(C, C!2, B!1), k1_zfmisc_1(u1_struct_0(B!1)))))))))))) | (~v1_funct_1(E!4)) | (~m2_relset_1(E!4, u1_struct_0(B!1), u1_struct_0(C!2))) | (~v1_funct_2(E!4, u1_struct_0(B!1), u1_struct_0(C!2))) | (~((~((~v4_waybel34(E!4, B!1, C!2)) | ![D: $i] : ((~v1_finset_1(D)) | (~m1_subset_1(D, k1_zfmisc_1(u1_struct_0(B!1)))) | r4_waybel_0(B!1, C!2, E!4, D)))) | (~(v4_waybel34(E!4, B!1, C!2) | (~((~m1_subset_1(tptp_fun_D_5(E!4, C!2, B!1), k1_zfmisc_1(u1_struct_0(B!1)))) | (~v1_finset_1(tptp_fun_D_5(E!4, C!2, B!1))) | r4_waybel_0(B!1, C!2, E!4, tptp_fun_D_5(E!4, C!2, B!1)))))))))),
% 0.50/0.72 inference(transitivity,[status(thm)],[351, 349])).
% 0.50/0.72 tff(353,plain,
% 0.50/0.72 ((~![C: $i] : ((~v1_funct_1(C)) | (~m2_relset_1(C, u1_struct_0(B!1), u1_struct_0(C!2))) | (~v1_funct_2(C, u1_struct_0(B!1), u1_struct_0(C!2))) | (~((~((~v4_waybel34(C, B!1, C!2)) | ![D: $i] : ((~v1_finset_1(D)) | (~m1_subset_1(D, k1_zfmisc_1(u1_struct_0(B!1)))) | r4_waybel_0(B!1, C!2, C, D)))) | (~(v4_waybel34(C, B!1, C!2) | (~(r4_waybel_0(B!1, C!2, C, tptp_fun_D_5(C, C!2, B!1)) | (~v1_finset_1(tptp_fun_D_5(C, C!2, B!1))) | (~m1_subset_1(tptp_fun_D_5(C, C!2, B!1), k1_zfmisc_1(u1_struct_0(B!1)))))))))))) | ((~v1_funct_1(E!4)) | (~m2_relset_1(E!4, u1_struct_0(B!1), u1_struct_0(C!2))) | (~v1_funct_2(E!4, u1_struct_0(B!1), u1_struct_0(C!2))) | (~((~((~v4_waybel34(E!4, B!1, C!2)) | ![D: $i] : ((~v1_finset_1(D)) | (~m1_subset_1(D, k1_zfmisc_1(u1_struct_0(B!1)))) | r4_waybel_0(B!1, C!2, E!4, D)))) | (~(v4_waybel34(E!4, B!1, C!2) | (~(r4_waybel_0(B!1, C!2, E!4, tptp_fun_D_5(E!4, C!2, B!1)) | (~v1_finset_1(tptp_fun_D_5(E!4, C!2, B!1))) | (~m1_subset_1(tptp_fun_D_5(E!4, C!2, B!1), k1_zfmisc_1(u1_struct_0(B!1)))))))))))),
% 0.50/0.73 inference(quant_inst,[status(thm)],[])).
% 0.50/0.73 tff(354,plain,
% 0.50/0.73 ((~![C: $i] : ((~v1_funct_1(C)) | (~m2_relset_1(C, u1_struct_0(B!1), u1_struct_0(C!2))) | (~v1_funct_2(C, u1_struct_0(B!1), u1_struct_0(C!2))) | (~((~((~v4_waybel34(C, B!1, C!2)) | ![D: $i] : ((~v1_finset_1(D)) | (~m1_subset_1(D, k1_zfmisc_1(u1_struct_0(B!1)))) | r4_waybel_0(B!1, C!2, C, D)))) | (~(v4_waybel34(C, B!1, C!2) | (~(r4_waybel_0(B!1, C!2, C, tptp_fun_D_5(C, C!2, B!1)) | (~v1_finset_1(tptp_fun_D_5(C, C!2, B!1))) | (~m1_subset_1(tptp_fun_D_5(C, C!2, B!1), k1_zfmisc_1(u1_struct_0(B!1)))))))))))) | (~v1_funct_1(E!4)) | (~m2_relset_1(E!4, u1_struct_0(B!1), u1_struct_0(C!2))) | (~v1_funct_2(E!4, u1_struct_0(B!1), u1_struct_0(C!2))) | (~((~((~v4_waybel34(E!4, B!1, C!2)) | ![D: $i] : ((~v1_finset_1(D)) | (~m1_subset_1(D, k1_zfmisc_1(u1_struct_0(B!1)))) | r4_waybel_0(B!1, C!2, E!4, D)))) | (~(v4_waybel34(E!4, B!1, C!2) | (~((~m1_subset_1(tptp_fun_D_5(E!4, C!2, B!1), k1_zfmisc_1(u1_struct_0(B!1)))) | (~v1_finset_1(tptp_fun_D_5(E!4, C!2, B!1))) | r4_waybel_0(B!1, C!2, E!4, tptp_fun_D_5(E!4, C!2, B!1))))))))),
% 0.50/0.73 inference(modus_ponens,[status(thm)],[353, 352])).
% 0.50/0.73 tff(355,plain,
% 0.50/0.73 (~((~((~v4_waybel34(E!4, B!1, C!2)) | ![D: $i] : ((~v1_finset_1(D)) | (~m1_subset_1(D, k1_zfmisc_1(u1_struct_0(B!1)))) | r4_waybel_0(B!1, C!2, E!4, D)))) | (~(v4_waybel34(E!4, B!1, C!2) | (~((~m1_subset_1(tptp_fun_D_5(E!4, C!2, B!1), k1_zfmisc_1(u1_struct_0(B!1)))) | (~v1_finset_1(tptp_fun_D_5(E!4, C!2, B!1))) | r4_waybel_0(B!1, C!2, E!4, tptp_fun_D_5(E!4, C!2, B!1)))))))),
% 0.50/0.73 inference(unit_resolution,[status(thm)],[354, 145, 144, 127, 348])).
% 0.50/0.73 tff(356,plain,
% 0.50/0.73 (((~((~v4_waybel34(E!4, B!1, C!2)) | ![D: $i] : ((~v1_finset_1(D)) | (~m1_subset_1(D, k1_zfmisc_1(u1_struct_0(B!1)))) | r4_waybel_0(B!1, C!2, E!4, D)))) | (~(v4_waybel34(E!4, B!1, C!2) | (~((~m1_subset_1(tptp_fun_D_5(E!4, C!2, B!1), k1_zfmisc_1(u1_struct_0(B!1)))) | (~v1_finset_1(tptp_fun_D_5(E!4, C!2, B!1))) | r4_waybel_0(B!1, C!2, E!4, tptp_fun_D_5(E!4, C!2, B!1))))))) | ((~v4_waybel34(E!4, B!1, C!2)) | ![D: $i] : ((~v1_finset_1(D)) | (~m1_subset_1(D, k1_zfmisc_1(u1_struct_0(B!1)))) | r4_waybel_0(B!1, C!2, E!4, D)))),
% 0.50/0.73 inference(tautology,[status(thm)],[])).
% 0.50/0.73 tff(357,plain,
% 0.50/0.73 ((~v4_waybel34(E!4, B!1, C!2)) | ![D: $i] : ((~v1_finset_1(D)) | (~m1_subset_1(D, k1_zfmisc_1(u1_struct_0(B!1)))) | r4_waybel_0(B!1, C!2, E!4, D))),
% 0.50/0.73 inference(unit_resolution,[status(thm)],[356, 355])).
% 0.50/0.73 tff(358,plain,
% 0.50/0.73 (v4_waybel34(E!4, B!1, C!2)),
% 0.50/0.73 inference(and_elim,[status(thm)],[318])).
% 0.50/0.73 tff(359,plain,
% 0.50/0.73 ((~((~v4_waybel34(E!4, B!1, C!2)) | ![D: $i] : ((~v1_finset_1(D)) | (~m1_subset_1(D, k1_zfmisc_1(u1_struct_0(B!1)))) | r4_waybel_0(B!1, C!2, E!4, D)))) | (~v4_waybel34(E!4, B!1, C!2)) | ![D: $i] : ((~v1_finset_1(D)) | (~m1_subset_1(D, k1_zfmisc_1(u1_struct_0(B!1)))) | r4_waybel_0(B!1, C!2, E!4, D))),
% 0.50/0.73 inference(tautology,[status(thm)],[])).
% 0.50/0.73 tff(360,plain,
% 0.50/0.73 ((~((~v4_waybel34(E!4, B!1, C!2)) | ![D: $i] : ((~v1_finset_1(D)) | (~m1_subset_1(D, k1_zfmisc_1(u1_struct_0(B!1)))) | r4_waybel_0(B!1, C!2, E!4, D)))) | ![D: $i] : ((~v1_finset_1(D)) | (~m1_subset_1(D, k1_zfmisc_1(u1_struct_0(B!1)))) | r4_waybel_0(B!1, C!2, E!4, D))),
% 0.50/0.73 inference(unit_resolution,[status(thm)],[359, 358])).
% 0.50/0.73 tff(361,plain,
% 0.50/0.73 (![D: $i] : ((~v1_finset_1(D)) | (~m1_subset_1(D, k1_zfmisc_1(u1_struct_0(B!1)))) | r4_waybel_0(B!1, C!2, E!4, D))),
% 0.50/0.73 inference(unit_resolution,[status(thm)],[360, 357])).
% 0.50/0.73 tff(362,plain,
% 0.50/0.73 (((~![D: $i] : ((~v1_finset_1(D)) | (~m1_subset_1(D, k1_zfmisc_1(u1_struct_0(B!1)))) | r4_waybel_0(B!1, C!2, E!4, D))) | ((~v1_finset_1(k4_pre_topc(A!0, B!1, D!3, tptp_fun_D_5(k5_relat_1(D!3, E!4), C!2, A!0)))) | (~m1_subset_1(k4_pre_topc(A!0, B!1, D!3, tptp_fun_D_5(k5_relat_1(D!3, E!4), C!2, A!0)), k1_zfmisc_1(u1_struct_0(B!1)))) | r4_waybel_0(B!1, C!2, E!4, k4_pre_topc(A!0, B!1, D!3, tptp_fun_D_5(k5_relat_1(D!3, E!4), C!2, A!0))))) <=> ((~![D: $i] : ((~v1_finset_1(D)) | (~m1_subset_1(D, k1_zfmisc_1(u1_struct_0(B!1)))) | r4_waybel_0(B!1, C!2, E!4, D))) | (~v1_finset_1(k4_pre_topc(A!0, B!1, D!3, tptp_fun_D_5(k5_relat_1(D!3, E!4), C!2, A!0)))) | (~m1_subset_1(k4_pre_topc(A!0, B!1, D!3, tptp_fun_D_5(k5_relat_1(D!3, E!4), C!2, A!0)), k1_zfmisc_1(u1_struct_0(B!1)))) | r4_waybel_0(B!1, C!2, E!4, k4_pre_topc(A!0, B!1, D!3, tptp_fun_D_5(k5_relat_1(D!3, E!4), C!2, A!0))))),
% 0.57/0.73 inference(rewrite,[status(thm)],[])).
% 0.57/0.73 tff(363,plain,
% 0.57/0.73 ((~![D: $i] : ((~v1_finset_1(D)) | (~m1_subset_1(D, k1_zfmisc_1(u1_struct_0(B!1)))) | r4_waybel_0(B!1, C!2, E!4, D))) | ((~v1_finset_1(k4_pre_topc(A!0, B!1, D!3, tptp_fun_D_5(k5_relat_1(D!3, E!4), C!2, A!0)))) | (~m1_subset_1(k4_pre_topc(A!0, B!1, D!3, tptp_fun_D_5(k5_relat_1(D!3, E!4), C!2, A!0)), k1_zfmisc_1(u1_struct_0(B!1)))) | r4_waybel_0(B!1, C!2, E!4, k4_pre_topc(A!0, B!1, D!3, tptp_fun_D_5(k5_relat_1(D!3, E!4), C!2, A!0))))),
% 0.57/0.73 inference(quant_inst,[status(thm)],[])).
% 0.57/0.73 tff(364,plain,
% 0.57/0.73 ((~![D: $i] : ((~v1_finset_1(D)) | (~m1_subset_1(D, k1_zfmisc_1(u1_struct_0(B!1)))) | r4_waybel_0(B!1, C!2, E!4, D))) | (~v1_finset_1(k4_pre_topc(A!0, B!1, D!3, tptp_fun_D_5(k5_relat_1(D!3, E!4), C!2, A!0)))) | (~m1_subset_1(k4_pre_topc(A!0, B!1, D!3, tptp_fun_D_5(k5_relat_1(D!3, E!4), C!2, A!0)), k1_zfmisc_1(u1_struct_0(B!1)))) | r4_waybel_0(B!1, C!2, E!4, k4_pre_topc(A!0, B!1, D!3, tptp_fun_D_5(k5_relat_1(D!3, E!4), C!2, A!0)))),
% 0.57/0.73 inference(modus_ponens,[status(thm)],[363, 362])).
% 0.57/0.73 tff(365,plain,
% 0.57/0.73 ((~v1_finset_1(k4_pre_topc(A!0, B!1, D!3, tptp_fun_D_5(k5_relat_1(D!3, E!4), C!2, A!0)))) | (~m1_subset_1(k4_pre_topc(A!0, B!1, D!3, tptp_fun_D_5(k5_relat_1(D!3, E!4), C!2, A!0)), k1_zfmisc_1(u1_struct_0(B!1))))),
% 0.57/0.73 inference(unit_resolution,[status(thm)],[364, 361, 334])).
% 0.57/0.73 tff(366,plain,
% 0.57/0.73 (~v1_finset_1(k4_pre_topc(A!0, B!1, D!3, tptp_fun_D_5(k5_relat_1(D!3, E!4), C!2, A!0)))),
% 0.57/0.73 inference(unit_resolution,[status(thm)],[365, 100])).
% 0.57/0.73 tff(367,plain,
% 0.57/0.73 (~v1_finset_1(k9_relat_1(D!3, tptp_fun_D_5(k5_relat_1(D!3, E!4), C!2, A!0)))),
% 0.57/0.73 inference(modus_ponens,[status(thm)],[366, 80])).
% 0.57/0.73 tff(368,plain,
% 0.57/0.73 (^[A: $i, B: $i, C: $i] : refl(((~m2_relset_1(C, A, B)) | m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, B)))) <=> ((~m2_relset_1(C, A, B)) | m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, B)))))),
% 0.57/0.73 inference(bind,[status(th)],[])).
% 0.57/0.73 tff(369,plain,
% 0.57/0.73 (![A: $i, B: $i, C: $i] : ((~m2_relset_1(C, A, B)) | m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, B)))) <=> ![A: $i, B: $i, C: $i] : ((~m2_relset_1(C, A, B)) | m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, B))))),
% 0.57/0.73 inference(quant_intro,[status(thm)],[368])).
% 0.57/0.73 tff(370,plain,
% 0.57/0.73 (![A: $i, B: $i, C: $i] : ((~m2_relset_1(C, A, B)) | m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, B)))) <=> ![A: $i, B: $i, C: $i] : ((~m2_relset_1(C, A, B)) | m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, B))))),
% 0.57/0.73 inference(rewrite,[status(thm)],[])).
% 0.57/0.73 tff(371,plain,
% 0.57/0.73 (^[A: $i, B: $i, C: $i] : rewrite((m2_relset_1(C, A, B) => m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, B)))) <=> ((~m2_relset_1(C, A, B)) | m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, B)))))),
% 0.57/0.73 inference(bind,[status(th)],[])).
% 0.57/0.73 tff(372,plain,
% 0.57/0.73 (![A: $i, B: $i, C: $i] : (m2_relset_1(C, A, B) => m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, B)))) <=> ![A: $i, B: $i, C: $i] : ((~m2_relset_1(C, A, B)) | m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, B))))),
% 0.57/0.73 inference(quant_intro,[status(thm)],[371])).
% 0.57/0.73 tff(373,axiom,(![A: $i, B: $i, C: $i] : (m2_relset_1(C, A, B) => m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, B))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','dt_m2_relset_1')).
% 0.57/0.73 tff(374,plain,
% 0.57/0.73 (![A: $i, B: $i, C: $i] : ((~m2_relset_1(C, A, B)) | m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, B))))),
% 0.57/0.73 inference(modus_ponens,[status(thm)],[373, 372])).
% 0.57/0.73 tff(375,plain,
% 0.57/0.73 (![A: $i, B: $i, C: $i] : ((~m2_relset_1(C, A, B)) | m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, B))))),
% 0.57/0.73 inference(modus_ponens,[status(thm)],[374, 370])).
% 0.57/0.73 tff(376,plain,(
% 0.57/0.73 ![A: $i, B: $i, C: $i] : ((~m2_relset_1(C, A, B)) | m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, B))))),
% 0.57/0.73 inference(skolemize,[status(sab)],[375])).
% 0.57/0.73 tff(377,plain,
% 0.57/0.73 (![A: $i, B: $i, C: $i] : ((~m2_relset_1(C, A, B)) | m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, B))))),
% 0.57/0.73 inference(modus_ponens,[status(thm)],[376, 369])).
% 0.57/0.73 tff(378,plain,
% 0.57/0.73 (((~![A: $i, B: $i, C: $i] : ((~m2_relset_1(C, A, B)) | m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, B))))) | ((~m2_relset_1(D!3, u1_struct_0(A!0), u1_struct_0(B!1))) | m1_subset_1(D!3, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A!0), u1_struct_0(B!1)))))) <=> ((~![A: $i, B: $i, C: $i] : ((~m2_relset_1(C, A, B)) | m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, B))))) | (~m2_relset_1(D!3, u1_struct_0(A!0), u1_struct_0(B!1))) | m1_subset_1(D!3, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A!0), u1_struct_0(B!1)))))),
% 0.57/0.73 inference(rewrite,[status(thm)],[])).
% 0.57/0.73 tff(379,plain,
% 0.57/0.73 ((~![A: $i, B: $i, C: $i] : ((~m2_relset_1(C, A, B)) | m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, B))))) | ((~m2_relset_1(D!3, u1_struct_0(A!0), u1_struct_0(B!1))) | m1_subset_1(D!3, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A!0), u1_struct_0(B!1)))))),
% 0.57/0.73 inference(quant_inst,[status(thm)],[])).
% 0.57/0.73 tff(380,plain,
% 0.57/0.73 ((~![A: $i, B: $i, C: $i] : ((~m2_relset_1(C, A, B)) | m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, B))))) | (~m2_relset_1(D!3, u1_struct_0(A!0), u1_struct_0(B!1))) | m1_subset_1(D!3, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A!0), u1_struct_0(B!1))))),
% 0.57/0.73 inference(modus_ponens,[status(thm)],[379, 378])).
% 0.57/0.73 tff(381,plain,
% 0.57/0.73 (m1_subset_1(D!3, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A!0), u1_struct_0(B!1))))),
% 0.57/0.73 inference(unit_resolution,[status(thm)],[380, 31, 377])).
% 0.57/0.73 tff(382,plain,
% 0.57/0.73 (^[A: $i, B: $i, C: $i] : refl((v1_relat_1(C) | (~m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, B))))) <=> (v1_relat_1(C) | (~m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, B))))))),
% 0.57/0.73 inference(bind,[status(th)],[])).
% 0.57/0.73 tff(383,plain,
% 0.57/0.73 (![A: $i, B: $i, C: $i] : (v1_relat_1(C) | (~m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, B))))) <=> ![A: $i, B: $i, C: $i] : (v1_relat_1(C) | (~m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, B)))))),
% 0.57/0.73 inference(quant_intro,[status(thm)],[382])).
% 0.57/0.73 tff(384,plain,
% 0.57/0.73 (![A: $i, B: $i, C: $i] : (v1_relat_1(C) | (~m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, B))))) <=> ![A: $i, B: $i, C: $i] : (v1_relat_1(C) | (~m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, B)))))),
% 0.57/0.73 inference(rewrite,[status(thm)],[])).
% 0.57/0.73 tff(385,plain,
% 0.57/0.73 (^[A: $i, B: $i, C: $i] : rewrite((m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, B))) => v1_relat_1(C)) <=> (v1_relat_1(C) | (~m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, B))))))),
% 0.57/0.73 inference(bind,[status(th)],[])).
% 0.57/0.73 tff(386,plain,
% 0.57/0.73 (![A: $i, B: $i, C: $i] : (m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, B))) => v1_relat_1(C)) <=> ![A: $i, B: $i, C: $i] : (v1_relat_1(C) | (~m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, B)))))),
% 0.57/0.73 inference(quant_intro,[status(thm)],[385])).
% 0.57/0.73 tff(387,axiom,(![A: $i, B: $i, C: $i] : (m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, B))) => v1_relat_1(C))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','cc1_relset_1')).
% 0.57/0.73 tff(388,plain,
% 0.57/0.73 (![A: $i, B: $i, C: $i] : (v1_relat_1(C) | (~m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, B)))))),
% 0.57/0.73 inference(modus_ponens,[status(thm)],[387, 386])).
% 0.57/0.73 tff(389,plain,
% 0.57/0.73 (![A: $i, B: $i, C: $i] : (v1_relat_1(C) | (~m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, B)))))),
% 0.57/0.73 inference(modus_ponens,[status(thm)],[388, 384])).
% 0.57/0.73 tff(390,plain,(
% 0.57/0.73 ![A: $i, B: $i, C: $i] : (v1_relat_1(C) | (~m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, B)))))),
% 0.57/0.73 inference(skolemize,[status(sab)],[389])).
% 0.57/0.73 tff(391,plain,
% 0.57/0.73 (![A: $i, B: $i, C: $i] : (v1_relat_1(C) | (~m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, B)))))),
% 0.57/0.73 inference(modus_ponens,[status(thm)],[390, 383])).
% 0.57/0.73 tff(392,plain,
% 0.57/0.73 (((~![A: $i, B: $i, C: $i] : (v1_relat_1(C) | (~m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, B)))))) | (v1_relat_1(D!3) | (~m1_subset_1(D!3, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A!0), u1_struct_0(B!1))))))) <=> ((~![A: $i, B: $i, C: $i] : (v1_relat_1(C) | (~m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, B)))))) | v1_relat_1(D!3) | (~m1_subset_1(D!3, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A!0), u1_struct_0(B!1))))))),
% 0.57/0.73 inference(rewrite,[status(thm)],[])).
% 0.57/0.73 tff(393,plain,
% 0.57/0.73 ((~![A: $i, B: $i, C: $i] : (v1_relat_1(C) | (~m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, B)))))) | (v1_relat_1(D!3) | (~m1_subset_1(D!3, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A!0), u1_struct_0(B!1))))))),
% 0.57/0.73 inference(quant_inst,[status(thm)],[])).
% 0.57/0.73 tff(394,plain,
% 0.57/0.73 ((~![A: $i, B: $i, C: $i] : (v1_relat_1(C) | (~m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, B)))))) | v1_relat_1(D!3) | (~m1_subset_1(D!3, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A!0), u1_struct_0(B!1)))))),
% 0.57/0.73 inference(modus_ponens,[status(thm)],[393, 392])).
% 0.57/0.73 tff(395,plain,
% 0.57/0.73 (v1_relat_1(D!3)),
% 0.57/0.73 inference(unit_resolution,[status(thm)],[394, 391, 381])).
% 0.57/0.73 tff(396,plain,
% 0.57/0.73 (^[A: $i, B: $i] : refl((v1_finset_1(k9_relat_1(A, B)) | (~v1_finset_1(B)) | (~v1_funct_1(A)) | (~v1_relat_1(A))) <=> (v1_finset_1(k9_relat_1(A, B)) | (~v1_finset_1(B)) | (~v1_funct_1(A)) | (~v1_relat_1(A))))),
% 0.57/0.73 inference(bind,[status(th)],[])).
% 0.57/0.73 tff(397,plain,
% 0.57/0.73 (![A: $i, B: $i] : (v1_finset_1(k9_relat_1(A, B)) | (~v1_finset_1(B)) | (~v1_funct_1(A)) | (~v1_relat_1(A))) <=> ![A: $i, B: $i] : (v1_finset_1(k9_relat_1(A, B)) | (~v1_finset_1(B)) | (~v1_funct_1(A)) | (~v1_relat_1(A)))),
% 0.57/0.73 inference(quant_intro,[status(thm)],[396])).
% 0.57/0.73 tff(398,plain,
% 0.57/0.73 (^[A: $i, B: $i] : trans(monotonicity(trans(monotonicity(rewrite((v1_relat_1(A) & v1_funct_1(A) & v1_finset_1(B)) <=> (~((~v1_finset_1(B)) | (~v1_funct_1(A)) | (~v1_relat_1(A))))), ((~(v1_relat_1(A) & v1_funct_1(A) & v1_finset_1(B))) <=> (~(~((~v1_finset_1(B)) | (~v1_funct_1(A)) | (~v1_relat_1(A))))))), rewrite((~(~((~v1_finset_1(B)) | (~v1_funct_1(A)) | (~v1_relat_1(A))))) <=> ((~v1_finset_1(B)) | (~v1_funct_1(A)) | (~v1_relat_1(A)))), ((~(v1_relat_1(A) & v1_funct_1(A) & v1_finset_1(B))) <=> ((~v1_finset_1(B)) | (~v1_funct_1(A)) | (~v1_relat_1(A))))), ((v1_finset_1(k9_relat_1(A, B)) | (~(v1_relat_1(A) & v1_funct_1(A) & v1_finset_1(B)))) <=> (v1_finset_1(k9_relat_1(A, B)) | ((~v1_finset_1(B)) | (~v1_funct_1(A)) | (~v1_relat_1(A)))))), rewrite((v1_finset_1(k9_relat_1(A, B)) | ((~v1_finset_1(B)) | (~v1_funct_1(A)) | (~v1_relat_1(A)))) <=> (v1_finset_1(k9_relat_1(A, B)) | (~v1_finset_1(B)) | (~v1_funct_1(A)) | (~v1_relat_1(A)))), ((v1_finset_1(k9_relat_1(A, B)) | (~(v1_relat_1(A) & v1_funct_1(A) & v1_finset_1(B)))) <=> (v1_finset_1(k9_relat_1(A, B)) | (~v1_finset_1(B)) | (~v1_funct_1(A)) | (~v1_relat_1(A)))))),
% 0.57/0.73 inference(bind,[status(th)],[])).
% 0.57/0.73 tff(399,plain,
% 0.57/0.73 (![A: $i, B: $i] : (v1_finset_1(k9_relat_1(A, B)) | (~(v1_relat_1(A) & v1_funct_1(A) & v1_finset_1(B)))) <=> ![A: $i, B: $i] : (v1_finset_1(k9_relat_1(A, B)) | (~v1_finset_1(B)) | (~v1_funct_1(A)) | (~v1_relat_1(A)))),
% 0.57/0.73 inference(quant_intro,[status(thm)],[398])).
% 0.57/0.73 tff(400,plain,
% 0.57/0.73 (![A: $i, B: $i] : (v1_finset_1(k9_relat_1(A, B)) | (~(v1_relat_1(A) & v1_funct_1(A) & v1_finset_1(B)))) <=> ![A: $i, B: $i] : (v1_finset_1(k9_relat_1(A, B)) | (~(v1_relat_1(A) & v1_funct_1(A) & v1_finset_1(B))))),
% 0.57/0.73 inference(rewrite,[status(thm)],[])).
% 0.57/0.73 tff(401,plain,
% 0.57/0.73 (^[A: $i, B: $i] : trans(monotonicity(rewrite(((v1_relat_1(A) & v1_funct_1(A)) & v1_finset_1(B)) <=> (v1_relat_1(A) & v1_funct_1(A) & v1_finset_1(B))), ((((v1_relat_1(A) & v1_funct_1(A)) & v1_finset_1(B)) => v1_finset_1(k9_relat_1(A, B))) <=> ((v1_relat_1(A) & v1_funct_1(A) & v1_finset_1(B)) => v1_finset_1(k9_relat_1(A, B))))), rewrite(((v1_relat_1(A) & v1_funct_1(A) & v1_finset_1(B)) => v1_finset_1(k9_relat_1(A, B))) <=> (v1_finset_1(k9_relat_1(A, B)) | (~(v1_relat_1(A) & v1_funct_1(A) & v1_finset_1(B))))), ((((v1_relat_1(A) & v1_funct_1(A)) & v1_finset_1(B)) => v1_finset_1(k9_relat_1(A, B))) <=> (v1_finset_1(k9_relat_1(A, B)) | (~(v1_relat_1(A) & v1_funct_1(A) & v1_finset_1(B))))))),
% 0.57/0.73 inference(bind,[status(th)],[])).
% 0.57/0.73 tff(402,plain,
% 0.57/0.73 (![A: $i, B: $i] : (((v1_relat_1(A) & v1_funct_1(A)) & v1_finset_1(B)) => v1_finset_1(k9_relat_1(A, B))) <=> ![A: $i, B: $i] : (v1_finset_1(k9_relat_1(A, B)) | (~(v1_relat_1(A) & v1_funct_1(A) & v1_finset_1(B))))),
% 0.57/0.73 inference(quant_intro,[status(thm)],[401])).
% 0.57/0.73 tff(403,axiom,(![A: $i, B: $i] : (((v1_relat_1(A) & v1_funct_1(A)) & v1_finset_1(B)) => v1_finset_1(k9_relat_1(A, B)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','fc13_finset_1')).
% 0.57/0.73 tff(404,plain,
% 0.57/0.73 (![A: $i, B: $i] : (v1_finset_1(k9_relat_1(A, B)) | (~(v1_relat_1(A) & v1_funct_1(A) & v1_finset_1(B))))),
% 0.57/0.73 inference(modus_ponens,[status(thm)],[403, 402])).
% 0.57/0.73 tff(405,plain,
% 0.57/0.73 (![A: $i, B: $i] : (v1_finset_1(k9_relat_1(A, B)) | (~(v1_relat_1(A) & v1_funct_1(A) & v1_finset_1(B))))),
% 0.57/0.73 inference(modus_ponens,[status(thm)],[404, 400])).
% 0.57/0.73 tff(406,plain,(
% 0.57/0.73 ![A: $i, B: $i] : (v1_finset_1(k9_relat_1(A, B)) | (~(v1_relat_1(A) & v1_funct_1(A) & v1_finset_1(B))))),
% 0.57/0.73 inference(skolemize,[status(sab)],[405])).
% 0.57/0.73 tff(407,plain,
% 0.57/0.73 (![A: $i, B: $i] : (v1_finset_1(k9_relat_1(A, B)) | (~v1_finset_1(B)) | (~v1_funct_1(A)) | (~v1_relat_1(A)))),
% 0.57/0.73 inference(modus_ponens,[status(thm)],[406, 399])).
% 0.57/0.73 tff(408,plain,
% 0.57/0.73 (![A: $i, B: $i] : (v1_finset_1(k9_relat_1(A, B)) | (~v1_finset_1(B)) | (~v1_funct_1(A)) | (~v1_relat_1(A)))),
% 0.57/0.73 inference(modus_ponens,[status(thm)],[407, 397])).
% 0.57/0.73 tff(409,plain,
% 0.57/0.73 (((~![A: $i, B: $i] : (v1_finset_1(k9_relat_1(A, B)) | (~v1_finset_1(B)) | (~v1_funct_1(A)) | (~v1_relat_1(A)))) | ((~v1_relat_1(D!3)) | (~v1_funct_1(D!3)) | (~v1_finset_1(tptp_fun_D_5(k5_relat_1(D!3, E!4), C!2, A!0))) | v1_finset_1(k9_relat_1(D!3, tptp_fun_D_5(k5_relat_1(D!3, E!4), C!2, A!0))))) <=> ((~![A: $i, B: $i] : (v1_finset_1(k9_relat_1(A, B)) | (~v1_finset_1(B)) | (~v1_funct_1(A)) | (~v1_relat_1(A)))) | (~v1_relat_1(D!3)) | (~v1_funct_1(D!3)) | (~v1_finset_1(tptp_fun_D_5(k5_relat_1(D!3, E!4), C!2, A!0))) | v1_finset_1(k9_relat_1(D!3, tptp_fun_D_5(k5_relat_1(D!3, E!4), C!2, A!0))))),
% 0.57/0.73 inference(rewrite,[status(thm)],[])).
% 0.57/0.73 tff(410,plain,
% 0.57/0.73 ((v1_finset_1(k9_relat_1(D!3, tptp_fun_D_5(k5_relat_1(D!3, E!4), C!2, A!0))) | (~v1_finset_1(tptp_fun_D_5(k5_relat_1(D!3, E!4), C!2, A!0))) | (~v1_funct_1(D!3)) | (~v1_relat_1(D!3))) <=> ((~v1_relat_1(D!3)) | (~v1_funct_1(D!3)) | (~v1_finset_1(tptp_fun_D_5(k5_relat_1(D!3, E!4), C!2, A!0))) | v1_finset_1(k9_relat_1(D!3, tptp_fun_D_5(k5_relat_1(D!3, E!4), C!2, A!0))))),
% 0.57/0.73 inference(rewrite,[status(thm)],[])).
% 0.57/0.73 tff(411,plain,
% 0.57/0.73 (((~![A: $i, B: $i] : (v1_finset_1(k9_relat_1(A, B)) | (~v1_finset_1(B)) | (~v1_funct_1(A)) | (~v1_relat_1(A)))) | (v1_finset_1(k9_relat_1(D!3, tptp_fun_D_5(k5_relat_1(D!3, E!4), C!2, A!0))) | (~v1_finset_1(tptp_fun_D_5(k5_relat_1(D!3, E!4), C!2, A!0))) | (~v1_funct_1(D!3)) | (~v1_relat_1(D!3)))) <=> ((~![A: $i, B: $i] : (v1_finset_1(k9_relat_1(A, B)) | (~v1_finset_1(B)) | (~v1_funct_1(A)) | (~v1_relat_1(A)))) | ((~v1_relat_1(D!3)) | (~v1_funct_1(D!3)) | (~v1_finset_1(tptp_fun_D_5(k5_relat_1(D!3, E!4), C!2, A!0))) | v1_finset_1(k9_relat_1(D!3, tptp_fun_D_5(k5_relat_1(D!3, E!4), C!2, A!0)))))),
% 0.57/0.73 inference(monotonicity,[status(thm)],[410])).
% 0.57/0.73 tff(412,plain,
% 0.57/0.73 (((~![A: $i, B: $i] : (v1_finset_1(k9_relat_1(A, B)) | (~v1_finset_1(B)) | (~v1_funct_1(A)) | (~v1_relat_1(A)))) | (v1_finset_1(k9_relat_1(D!3, tptp_fun_D_5(k5_relat_1(D!3, E!4), C!2, A!0))) | (~v1_finset_1(tptp_fun_D_5(k5_relat_1(D!3, E!4), C!2, A!0))) | (~v1_funct_1(D!3)) | (~v1_relat_1(D!3)))) <=> ((~![A: $i, B: $i] : (v1_finset_1(k9_relat_1(A, B)) | (~v1_finset_1(B)) | (~v1_funct_1(A)) | (~v1_relat_1(A)))) | (~v1_relat_1(D!3)) | (~v1_funct_1(D!3)) | (~v1_finset_1(tptp_fun_D_5(k5_relat_1(D!3, E!4), C!2, A!0))) | v1_finset_1(k9_relat_1(D!3, tptp_fun_D_5(k5_relat_1(D!3, E!4), C!2, A!0))))),
% 0.57/0.73 inference(transitivity,[status(thm)],[411, 409])).
% 0.57/0.73 tff(413,plain,
% 0.57/0.73 ((~![A: $i, B: $i] : (v1_finset_1(k9_relat_1(A, B)) | (~v1_finset_1(B)) | (~v1_funct_1(A)) | (~v1_relat_1(A)))) | (v1_finset_1(k9_relat_1(D!3, tptp_fun_D_5(k5_relat_1(D!3, E!4), C!2, A!0))) | (~v1_finset_1(tptp_fun_D_5(k5_relat_1(D!3, E!4), C!2, A!0))) | (~v1_funct_1(D!3)) | (~v1_relat_1(D!3)))),
% 0.57/0.73 inference(quant_inst,[status(thm)],[])).
% 0.57/0.73 tff(414,plain,
% 0.57/0.73 ((~![A: $i, B: $i] : (v1_finset_1(k9_relat_1(A, B)) | (~v1_finset_1(B)) | (~v1_funct_1(A)) | (~v1_relat_1(A)))) | (~v1_relat_1(D!3)) | (~v1_funct_1(D!3)) | (~v1_finset_1(tptp_fun_D_5(k5_relat_1(D!3, E!4), C!2, A!0))) | v1_finset_1(k9_relat_1(D!3, tptp_fun_D_5(k5_relat_1(D!3, E!4), C!2, A!0)))),
% 0.57/0.73 inference(modus_ponens,[status(thm)],[413, 412])).
% 0.57/0.73 tff(415,plain,
% 0.57/0.73 (v1_finset_1(k9_relat_1(D!3, tptp_fun_D_5(k5_relat_1(D!3, E!4), C!2, A!0)))),
% 0.57/0.73 inference(unit_resolution,[status(thm)],[414, 69, 408, 395, 301])).
% 0.57/0.73 tff(416,plain,
% 0.57/0.73 ($false),
% 0.57/0.73 inference(unit_resolution,[status(thm)],[415, 367])).
% 0.57/0.73 % SZS output end Proof
% 0.57/0.74 % E exiting
%------------------------------------------------------------------------------