%------------------------------------------------------------------------------
% File : Z3---4.15.1
% Problem : LAT351+1 : TPTP v9.0.0. Released v3.4.0.
% Transfm : none
% Format : tptp
% Command : run_E %s %d THM
% Computer : n008.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 05:14:28 AM UTC 2025
% Result : Theorem 0.53s 0.74s
% Output : Proof 0.60s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.11 % Problem : LAT351+1 : TPTP v9.0.0. Released v3.4.0.
% 0.07/0.12 % Command : run_E %s %d THM
% 0.12/0.32 % Computer : n008.cluster.edu
% 0.12/0.32 % Model : x86_64 x86_64
% 0.12/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.32 % Memory : 8042.1875MB
% 0.12/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Thu Jun 19 20:33:48 EDT 2025
% 0.12/0.33 % CPUTime :
% 0.53/0.74 % SZS status Theorem
% 0.53/0.74 % SZS output start Proof
% 0.53/0.74 tff(k1_card_1_type, type, (
% 0.53/0.74 k1_card_1: $i > $i)).
% 0.53/0.74 tff(a_1_0_waybel22_type, type, (
% 0.53/0.74 a_1_0_waybel22: $i > $i)).
% 0.53/0.74 tff(tptp_fun_A_1_type, type, (
% 0.53/0.74 tptp_fun_A_1: $i)).
% 0.53/0.74 tff(tptp_fun_C_2_type, type, (
% 0.53/0.74 tptp_fun_C_2: $i)).
% 0.53/0.74 tff(k1_waybel22_type, type, (
% 0.53/0.74 k1_waybel22: $i > $i)).
% 0.53/0.74 tff(r1_waybel22_type, type, (
% 0.53/0.74 r1_waybel22: ( $i * $i ) > $o)).
% 0.53/0.74 tff(tptp_fun_B_0_type, type, (
% 0.53/0.74 tptp_fun_B_0: $i)).
% 0.53/0.74 tff(r5_waybel_1_type, type, (
% 0.53/0.74 r5_waybel_1: ( $i * $i ) > $o)).
% 0.53/0.74 tff(k2_yellow_1_type, type, (
% 0.53/0.74 k2_yellow_1: $i > $i)).
% 0.53/0.74 tff(k9_waybel_0_type, type, (
% 0.53/0.74 k9_waybel_0: $i > $i)).
% 0.53/0.74 tff(k3_yellow_1_type, type, (
% 0.53/0.74 k3_yellow_1: $i > $i)).
% 0.53/0.74 tff(l1_orders_2_type, type, (
% 0.53/0.74 l1_orders_2: $i > $o)).
% 0.53/0.74 tff(v3_waybel_3_type, type, (
% 0.53/0.74 v3_waybel_3: $i > $o)).
% 0.53/0.74 tff(v3_lattice3_type, type, (
% 0.53/0.74 v3_lattice3: $i > $o)).
% 0.53/0.74 tff(v2_lattice3_type, type, (
% 0.53/0.74 v2_lattice3: $i > $o)).
% 0.53/0.74 tff(v1_lattice3_type, type, (
% 0.53/0.74 v1_lattice3: $i > $o)).
% 0.53/0.74 tff(v4_orders_2_type, type, (
% 0.53/0.74 v4_orders_2: $i > $o)).
% 0.53/0.74 tff(v3_orders_2_type, type, (
% 0.53/0.74 v3_orders_2: $i > $o)).
% 0.53/0.74 tff(v2_orders_2_type, type, (
% 0.53/0.74 v2_orders_2: $i > $o)).
% 0.53/0.74 tff(v1_orders_2_type, type, (
% 0.53/0.74 v1_orders_2: $i > $o)).
% 0.53/0.74 tff(v3_yellow_0_type, type, (
% 0.53/0.74 v3_yellow_0: $i > $o)).
% 0.53/0.74 tff(v2_yellow_0_type, type, (
% 0.53/0.74 v2_yellow_0: $i > $o)).
% 0.53/0.74 tff(v25_waybel_0_type, type, (
% 0.53/0.74 v25_waybel_0: $i > $o)).
% 0.53/0.74 tff(v24_waybel_0_type, type, (
% 0.53/0.74 v24_waybel_0: $i > $o)).
% 0.53/0.74 tff(v1_yellow_0_type, type, (
% 0.53/0.74 v1_yellow_0: $i > $o)).
% 0.53/0.74 tff(v3_struct_0_type, type, (
% 0.53/0.74 v3_struct_0: $i > $o)).
% 0.53/0.74 tff(v2_waybel_8_type, type, (
% 0.53/0.74 v2_waybel_8: $i > $o)).
% 0.53/0.74 tff(v1_waybel_8_type, type, (
% 0.53/0.74 v1_waybel_8: $i > $o)).
% 0.53/0.74 tff(v2_waybel_3_type, type, (
% 0.53/0.74 v2_waybel_3: $i > $o)).
% 0.53/0.74 tff(v11_waybel_1_type, type, (
% 0.53/0.74 v11_waybel_1: $i > $o)).
% 0.53/0.74 tff(v10_waybel_1_type, type, (
% 0.53/0.74 v10_waybel_1: $i > $o)).
% 0.53/0.74 tff(v9_waybel_1_type, type, (
% 0.53/0.74 v9_waybel_1: $i > $o)).
% 0.53/0.74 tff(v2_waybel_1_type, type, (
% 0.53/0.74 v2_waybel_1: $i > $o)).
% 0.53/0.74 tff(1,plain,
% 0.53/0.74 (^[A: $i] : refl((k1_waybel22(A) = a_1_0_waybel22(A)) <=> (k1_waybel22(A) = a_1_0_waybel22(A)))),
% 0.53/0.74 inference(bind,[status(th)],[])).
% 0.53/0.74 tff(2,plain,
% 0.53/0.74 (![A: $i] : (k1_waybel22(A) = a_1_0_waybel22(A)) <=> ![A: $i] : (k1_waybel22(A) = a_1_0_waybel22(A))),
% 0.53/0.74 inference(quant_intro,[status(thm)],[1])).
% 0.53/0.74 tff(3,plain,
% 0.53/0.74 (![A: $i] : (k1_waybel22(A) = a_1_0_waybel22(A)) <=> ![A: $i] : (k1_waybel22(A) = a_1_0_waybel22(A))),
% 0.53/0.74 inference(rewrite,[status(thm)],[])).
% 0.53/0.74 tff(4,axiom,(![A: $i] : (k1_waybel22(A) = a_1_0_waybel22(A))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','d2_waybel22')).
% 0.53/0.74 tff(5,plain,
% 0.53/0.74 (![A: $i] : (k1_waybel22(A) = a_1_0_waybel22(A))),
% 0.53/0.74 inference(modus_ponens,[status(thm)],[4, 3])).
% 0.53/0.74 tff(6,plain,(
% 0.53/0.74 ![A: $i] : (k1_waybel22(A) = a_1_0_waybel22(A))),
% 0.53/0.74 inference(skolemize,[status(sab)],[5])).
% 0.53/0.74 tff(7,plain,
% 0.53/0.74 (![A: $i] : (k1_waybel22(A) = a_1_0_waybel22(A))),
% 0.53/0.74 inference(modus_ponens,[status(thm)],[6, 2])).
% 0.53/0.74 tff(8,plain,
% 0.53/0.74 ((~![A: $i] : (k1_waybel22(A) = a_1_0_waybel22(A))) | (k1_waybel22(A!1) = a_1_0_waybel22(A!1))),
% 0.53/0.74 inference(quant_inst,[status(thm)],[])).
% 0.53/0.74 tff(9,plain,
% 0.53/0.74 (k1_waybel22(A!1) = a_1_0_waybel22(A!1)),
% 0.53/0.74 inference(unit_resolution,[status(thm)],[8, 7])).
% 0.53/0.74 tff(10,plain,
% 0.53/0.74 (a_1_0_waybel22(A!1) = k1_waybel22(A!1)),
% 0.53/0.74 inference(symmetry,[status(thm)],[9])).
% 0.53/0.74 tff(11,plain,
% 0.53/0.74 (k1_card_1(a_1_0_waybel22(A!1)) = k1_card_1(k1_waybel22(A!1))),
% 0.53/0.74 inference(monotonicity,[status(thm)],[10])).
% 0.53/0.74 tff(12,plain,
% 0.53/0.74 (k1_card_1(k1_waybel22(A!1)) = k1_card_1(a_1_0_waybel22(A!1))),
% 0.53/0.74 inference(symmetry,[status(thm)],[11])).
% 0.53/0.74 tff(13,plain,
% 0.53/0.74 (^[A: $i] : refl((k1_card_1(k1_waybel22(A)) = k1_card_1(A)) <=> (k1_card_1(k1_waybel22(A)) = k1_card_1(A)))),
% 0.53/0.74 inference(bind,[status(th)],[])).
% 0.53/0.74 tff(14,plain,
% 0.53/0.74 (![A: $i] : (k1_card_1(k1_waybel22(A)) = k1_card_1(A)) <=> ![A: $i] : (k1_card_1(k1_waybel22(A)) = k1_card_1(A))),
% 0.53/0.74 inference(quant_intro,[status(thm)],[13])).
% 0.53/0.74 tff(15,plain,
% 0.53/0.74 (![A: $i] : (k1_card_1(k1_waybel22(A)) = k1_card_1(A)) <=> ![A: $i] : (k1_card_1(k1_waybel22(A)) = k1_card_1(A))),
% 0.53/0.74 inference(rewrite,[status(thm)],[])).
% 0.53/0.74 tff(16,axiom,(![A: $i] : (k1_card_1(k1_waybel22(A)) = k1_card_1(A))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','t10_waybel22')).
% 0.53/0.74 tff(17,plain,
% 0.53/0.74 (![A: $i] : (k1_card_1(k1_waybel22(A)) = k1_card_1(A))),
% 0.53/0.74 inference(modus_ponens,[status(thm)],[16, 15])).
% 0.53/0.74 tff(18,plain,(
% 0.53/0.74 ![A: $i] : (k1_card_1(k1_waybel22(A)) = k1_card_1(A))),
% 0.53/0.74 inference(skolemize,[status(sab)],[17])).
% 0.53/0.74 tff(19,plain,
% 0.53/0.74 (![A: $i] : (k1_card_1(k1_waybel22(A)) = k1_card_1(A))),
% 0.53/0.74 inference(modus_ponens,[status(thm)],[18, 14])).
% 0.53/0.74 tff(20,plain,
% 0.53/0.74 ((~![A: $i] : (k1_card_1(k1_waybel22(A)) = k1_card_1(A))) | (k1_card_1(k1_waybel22(A!1)) = k1_card_1(A!1))),
% 0.53/0.74 inference(quant_inst,[status(thm)],[])).
% 0.53/0.74 tff(21,plain,
% 0.53/0.74 (k1_card_1(k1_waybel22(A!1)) = k1_card_1(A!1)),
% 0.53/0.74 inference(unit_resolution,[status(thm)],[20, 19])).
% 0.53/0.74 tff(22,plain,
% 0.53/0.74 (k1_card_1(A!1) = k1_card_1(k1_waybel22(A!1))),
% 0.53/0.74 inference(symmetry,[status(thm)],[21])).
% 0.53/0.74 tff(23,plain,
% 0.53/0.74 (((v2_orders_2(B!0) & v3_orders_2(B!0) & v4_orders_2(B!0) & v1_lattice3(B!0) & v2_lattice3(B!0) & v3_lattice3(B!0) & v3_waybel_3(B!0) & l1_orders_2(B!0)) & (~((~(r1_waybel22(B!0, C!2) & (k1_card_1(C!2) = k1_card_1(A!1)))) | r5_waybel_1(B!0, k2_yellow_1(k9_waybel_0(k3_yellow_1(A!1))))))) <=> (v2_orders_2(B!0) & v3_orders_2(B!0) & v4_orders_2(B!0) & v1_lattice3(B!0) & v2_lattice3(B!0) & v3_lattice3(B!0) & v3_waybel_3(B!0) & l1_orders_2(B!0) & (~((~(r1_waybel22(B!0, C!2) & (k1_card_1(C!2) = k1_card_1(A!1)))) | r5_waybel_1(B!0, k2_yellow_1(k9_waybel_0(k3_yellow_1(A!1)))))))),
% 0.53/0.74 inference(rewrite,[status(thm)],[])).
% 0.53/0.74 tff(24,plain,
% 0.53/0.74 ((~![A: $i, B: $i] : ((~(v2_orders_2(B) & v3_orders_2(B) & v4_orders_2(B) & v1_lattice3(B) & v2_lattice3(B) & v3_lattice3(B) & v3_waybel_3(B) & l1_orders_2(B))) | ![C: $i] : ((~(r1_waybel22(B, C) & (k1_card_1(C) = k1_card_1(A)))) | r5_waybel_1(B, k2_yellow_1(k9_waybel_0(k3_yellow_1(A))))))) <=> (~![A: $i, B: $i] : ((~(v2_orders_2(B) & v3_orders_2(B) & v4_orders_2(B) & v1_lattice3(B) & v2_lattice3(B) & v3_lattice3(B) & v3_waybel_3(B) & l1_orders_2(B))) | ![C: $i] : ((~(r1_waybel22(B, C) & (k1_card_1(C) = k1_card_1(A)))) | r5_waybel_1(B, k2_yellow_1(k9_waybel_0(k3_yellow_1(A)))))))),
% 0.53/0.74 inference(rewrite,[status(thm)],[])).
% 0.53/0.74 tff(25,plain,
% 0.53/0.74 ((~![A: $i, B: $i] : ((((((((v2_orders_2(B) & v3_orders_2(B)) & v4_orders_2(B)) & v1_lattice3(B)) & v2_lattice3(B)) & v3_lattice3(B)) & v3_waybel_3(B)) & l1_orders_2(B)) => ![C: $i] : ((r1_waybel22(B, C) & (k1_card_1(C) = k1_card_1(A))) => r5_waybel_1(B, k2_yellow_1(k9_waybel_0(k3_yellow_1(A))))))) <=> (~![A: $i, B: $i] : ((~(v2_orders_2(B) & v3_orders_2(B) & v4_orders_2(B) & v1_lattice3(B) & v2_lattice3(B) & v3_lattice3(B) & v3_waybel_3(B) & l1_orders_2(B))) | ![C: $i] : ((~(r1_waybel22(B, C) & (k1_card_1(C) = k1_card_1(A)))) | r5_waybel_1(B, k2_yellow_1(k9_waybel_0(k3_yellow_1(A)))))))),
% 0.53/0.74 inference(rewrite,[status(thm)],[])).
% 0.53/0.74 tff(26,axiom,(~![A: $i, B: $i] : ((((((((v2_orders_2(B) & v3_orders_2(B)) & v4_orders_2(B)) & v1_lattice3(B)) & v2_lattice3(B)) & v3_lattice3(B)) & v3_waybel_3(B)) & l1_orders_2(B)) => ![C: $i] : ((r1_waybel22(B, C) & (k1_card_1(C) = k1_card_1(A))) => r5_waybel_1(B, k2_yellow_1(k9_waybel_0(k3_yellow_1(A))))))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','t18_waybel22')).
% 0.53/0.74 tff(27,plain,
% 0.53/0.74 (~![A: $i, B: $i] : ((~(v2_orders_2(B) & v3_orders_2(B) & v4_orders_2(B) & v1_lattice3(B) & v2_lattice3(B) & v3_lattice3(B) & v3_waybel_3(B) & l1_orders_2(B))) | ![C: $i] : ((~(r1_waybel22(B, C) & (k1_card_1(C) = k1_card_1(A)))) | r5_waybel_1(B, k2_yellow_1(k9_waybel_0(k3_yellow_1(A))))))),
% 0.53/0.74 inference(modus_ponens,[status(thm)],[26, 25])).
% 0.53/0.74 tff(28,plain,
% 0.53/0.74 (~![A: $i, B: $i] : ((~(v2_orders_2(B) & v3_orders_2(B) & v4_orders_2(B) & v1_lattice3(B) & v2_lattice3(B) & v3_lattice3(B) & v3_waybel_3(B) & l1_orders_2(B))) | ![C: $i] : ((~(r1_waybel22(B, C) & (k1_card_1(C) = k1_card_1(A)))) | r5_waybel_1(B, k2_yellow_1(k9_waybel_0(k3_yellow_1(A))))))),
% 0.53/0.74 inference(modus_ponens,[status(thm)],[27, 24])).
% 0.53/0.74 tff(29,plain,
% 0.53/0.74 (~![A: $i, B: $i] : ((~(v2_orders_2(B) & v3_orders_2(B) & v4_orders_2(B) & v1_lattice3(B) & v2_lattice3(B) & v3_lattice3(B) & v3_waybel_3(B) & l1_orders_2(B))) | ![C: $i] : ((~(r1_waybel22(B, C) & (k1_card_1(C) = k1_card_1(A)))) | r5_waybel_1(B, k2_yellow_1(k9_waybel_0(k3_yellow_1(A))))))),
% 0.53/0.74 inference(modus_ponens,[status(thm)],[28, 24])).
% 0.53/0.74 tff(30,plain,
% 0.53/0.74 (~![A: $i, B: $i] : ((~(v2_orders_2(B) & v3_orders_2(B) & v4_orders_2(B) & v1_lattice3(B) & v2_lattice3(B) & v3_lattice3(B) & v3_waybel_3(B) & l1_orders_2(B))) | ![C: $i] : ((~(r1_waybel22(B, C) & (k1_card_1(C) = k1_card_1(A)))) | r5_waybel_1(B, k2_yellow_1(k9_waybel_0(k3_yellow_1(A))))))),
% 0.53/0.74 inference(modus_ponens,[status(thm)],[29, 24])).
% 0.53/0.74 tff(31,plain,
% 0.53/0.74 (v2_orders_2(B!0) & v3_orders_2(B!0) & v4_orders_2(B!0) & v1_lattice3(B!0) & v2_lattice3(B!0) & v3_lattice3(B!0) & v3_waybel_3(B!0) & l1_orders_2(B!0) & (~((~(r1_waybel22(B!0, C!2) & (k1_card_1(C!2) = k1_card_1(A!1)))) | r5_waybel_1(B!0, k2_yellow_1(k9_waybel_0(k3_yellow_1(A!1))))))),
% 0.53/0.74 inference(modus_ponens,[status(thm)],[30, 23])).
% 0.53/0.74 tff(32,plain,
% 0.53/0.74 (~((~(r1_waybel22(B!0, C!2) & (k1_card_1(C!2) = k1_card_1(A!1)))) | r5_waybel_1(B!0, k2_yellow_1(k9_waybel_0(k3_yellow_1(A!1)))))),
% 0.53/0.74 inference(and_elim,[status(thm)],[31])).
% 0.53/0.74 tff(33,plain,
% 0.53/0.74 (r1_waybel22(B!0, C!2) & (k1_card_1(C!2) = k1_card_1(A!1))),
% 0.53/0.74 inference(or_elim,[status(thm)],[32])).
% 0.53/0.74 tff(34,plain,
% 0.53/0.74 (k1_card_1(C!2) = k1_card_1(A!1)),
% 0.53/0.74 inference(and_elim,[status(thm)],[33])).
% 0.53/0.74 tff(35,plain,
% 0.53/0.74 (k1_card_1(C!2) = k1_card_1(a_1_0_waybel22(A!1))),
% 0.53/0.74 inference(transitivity,[status(thm)],[34, 22, 12])).
% 0.53/0.74 tff(36,plain,
% 0.53/0.74 (r1_waybel22(k2_yellow_1(k9_waybel_0(k3_yellow_1(A!1))), a_1_0_waybel22(A!1)) <=> r1_waybel22(k2_yellow_1(k9_waybel_0(k3_yellow_1(A!1))), k1_waybel22(A!1))),
% 0.53/0.74 inference(monotonicity,[status(thm)],[10])).
% 0.53/0.74 tff(37,plain,
% 0.53/0.74 (r1_waybel22(k2_yellow_1(k9_waybel_0(k3_yellow_1(A!1))), k1_waybel22(A!1)) <=> r1_waybel22(k2_yellow_1(k9_waybel_0(k3_yellow_1(A!1))), a_1_0_waybel22(A!1))),
% 0.53/0.74 inference(symmetry,[status(thm)],[36])).
% 0.53/0.74 tff(38,plain,
% 0.53/0.74 (^[A: $i] : refl(r1_waybel22(k2_yellow_1(k9_waybel_0(k3_yellow_1(A))), k1_waybel22(A)) <=> r1_waybel22(k2_yellow_1(k9_waybel_0(k3_yellow_1(A))), k1_waybel22(A)))),
% 0.53/0.74 inference(bind,[status(th)],[])).
% 0.53/0.74 tff(39,plain,
% 0.53/0.74 (![A: $i] : r1_waybel22(k2_yellow_1(k9_waybel_0(k3_yellow_1(A))), k1_waybel22(A)) <=> ![A: $i] : r1_waybel22(k2_yellow_1(k9_waybel_0(k3_yellow_1(A))), k1_waybel22(A))),
% 0.53/0.74 inference(quant_intro,[status(thm)],[38])).
% 0.53/0.74 tff(40,plain,
% 0.53/0.74 (![A: $i] : r1_waybel22(k2_yellow_1(k9_waybel_0(k3_yellow_1(A))), k1_waybel22(A)) <=> ![A: $i] : r1_waybel22(k2_yellow_1(k9_waybel_0(k3_yellow_1(A))), k1_waybel22(A))),
% 0.53/0.74 inference(rewrite,[status(thm)],[])).
% 0.53/0.74 tff(41,axiom,(![A: $i] : r1_waybel22(k2_yellow_1(k9_waybel_0(k3_yellow_1(A))), k1_waybel22(A))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','t16_waybel22')).
% 0.53/0.74 tff(42,plain,
% 0.53/0.74 (![A: $i] : r1_waybel22(k2_yellow_1(k9_waybel_0(k3_yellow_1(A))), k1_waybel22(A))),
% 0.53/0.74 inference(modus_ponens,[status(thm)],[41, 40])).
% 0.53/0.74 tff(43,plain,(
% 0.53/0.74 ![A: $i] : r1_waybel22(k2_yellow_1(k9_waybel_0(k3_yellow_1(A))), k1_waybel22(A))),
% 0.53/0.74 inference(skolemize,[status(sab)],[42])).
% 0.53/0.74 tff(44,plain,
% 0.53/0.74 (![A: $i] : r1_waybel22(k2_yellow_1(k9_waybel_0(k3_yellow_1(A))), k1_waybel22(A))),
% 0.53/0.74 inference(modus_ponens,[status(thm)],[43, 39])).
% 0.53/0.74 tff(45,plain,
% 0.53/0.74 ((~![A: $i] : r1_waybel22(k2_yellow_1(k9_waybel_0(k3_yellow_1(A))), k1_waybel22(A))) | r1_waybel22(k2_yellow_1(k9_waybel_0(k3_yellow_1(A!1))), k1_waybel22(A!1))),
% 0.53/0.74 inference(quant_inst,[status(thm)],[])).
% 0.53/0.74 tff(46,plain,
% 0.53/0.74 (r1_waybel22(k2_yellow_1(k9_waybel_0(k3_yellow_1(A!1))), k1_waybel22(A!1))),
% 0.53/0.74 inference(unit_resolution,[status(thm)],[45, 44])).
% 0.53/0.74 tff(47,plain,
% 0.53/0.74 (r1_waybel22(k2_yellow_1(k9_waybel_0(k3_yellow_1(A!1))), a_1_0_waybel22(A!1))),
% 0.53/0.74 inference(modus_ponens,[status(thm)],[46, 37])).
% 0.53/0.74 tff(48,plain,
% 0.53/0.74 (^[A: $i] : refl((~((~v1_orders_2(k2_yellow_1(A))) | (~l1_orders_2(k2_yellow_1(A))))) <=> (~((~v1_orders_2(k2_yellow_1(A))) | (~l1_orders_2(k2_yellow_1(A))))))),
% 0.53/0.74 inference(bind,[status(th)],[])).
% 0.53/0.74 tff(49,plain,
% 0.53/0.74 (![A: $i] : (~((~v1_orders_2(k2_yellow_1(A))) | (~l1_orders_2(k2_yellow_1(A))))) <=> ![A: $i] : (~((~v1_orders_2(k2_yellow_1(A))) | (~l1_orders_2(k2_yellow_1(A)))))),
% 0.53/0.74 inference(quant_intro,[status(thm)],[48])).
% 0.53/0.74 tff(50,plain,
% 0.53/0.74 (^[A: $i] : rewrite((v1_orders_2(k2_yellow_1(A)) & l1_orders_2(k2_yellow_1(A))) <=> (~((~v1_orders_2(k2_yellow_1(A))) | (~l1_orders_2(k2_yellow_1(A))))))),
% 0.53/0.74 inference(bind,[status(th)],[])).
% 0.53/0.74 tff(51,plain,
% 0.53/0.74 (![A: $i] : (v1_orders_2(k2_yellow_1(A)) & l1_orders_2(k2_yellow_1(A))) <=> ![A: $i] : (~((~v1_orders_2(k2_yellow_1(A))) | (~l1_orders_2(k2_yellow_1(A)))))),
% 0.53/0.74 inference(quant_intro,[status(thm)],[50])).
% 0.53/0.74 tff(52,plain,
% 0.53/0.74 (![A: $i] : (v1_orders_2(k2_yellow_1(A)) & l1_orders_2(k2_yellow_1(A))) <=> ![A: $i] : (v1_orders_2(k2_yellow_1(A)) & l1_orders_2(k2_yellow_1(A)))),
% 0.53/0.74 inference(rewrite,[status(thm)],[])).
% 0.53/0.74 tff(53,axiom,(![A: $i] : (v1_orders_2(k2_yellow_1(A)) & l1_orders_2(k2_yellow_1(A)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','dt_k2_yellow_1')).
% 0.53/0.74 tff(54,plain,
% 0.53/0.74 (![A: $i] : (v1_orders_2(k2_yellow_1(A)) & l1_orders_2(k2_yellow_1(A)))),
% 0.53/0.74 inference(modus_ponens,[status(thm)],[53, 52])).
% 0.53/0.74 tff(55,plain,(
% 0.53/0.74 ![A: $i] : (v1_orders_2(k2_yellow_1(A)) & l1_orders_2(k2_yellow_1(A)))),
% 0.53/0.74 inference(skolemize,[status(sab)],[54])).
% 0.53/0.74 tff(56,plain,
% 0.53/0.74 (![A: $i] : (~((~v1_orders_2(k2_yellow_1(A))) | (~l1_orders_2(k2_yellow_1(A)))))),
% 0.53/0.74 inference(modus_ponens,[status(thm)],[55, 51])).
% 0.53/0.74 tff(57,plain,
% 0.53/0.74 (![A: $i] : (~((~v1_orders_2(k2_yellow_1(A))) | (~l1_orders_2(k2_yellow_1(A)))))),
% 0.53/0.74 inference(modus_ponens,[status(thm)],[56, 49])).
% 0.53/0.74 tff(58,plain,
% 0.53/0.74 ((~![A: $i] : (~((~v1_orders_2(k2_yellow_1(A))) | (~l1_orders_2(k2_yellow_1(A)))))) | (~((~v1_orders_2(k2_yellow_1(k9_waybel_0(k3_yellow_1(A!1))))) | (~l1_orders_2(k2_yellow_1(k9_waybel_0(k3_yellow_1(A!1)))))))),
% 0.53/0.74 inference(quant_inst,[status(thm)],[])).
% 0.53/0.74 tff(59,plain,
% 0.53/0.74 (~((~v1_orders_2(k2_yellow_1(k9_waybel_0(k3_yellow_1(A!1))))) | (~l1_orders_2(k2_yellow_1(k9_waybel_0(k3_yellow_1(A!1))))))),
% 0.53/0.74 inference(unit_resolution,[status(thm)],[58, 57])).
% 0.53/0.74 tff(60,plain,
% 0.53/0.74 (((~v1_orders_2(k2_yellow_1(k9_waybel_0(k3_yellow_1(A!1))))) | (~l1_orders_2(k2_yellow_1(k9_waybel_0(k3_yellow_1(A!1)))))) | l1_orders_2(k2_yellow_1(k9_waybel_0(k3_yellow_1(A!1))))),
% 0.53/0.74 inference(tautology,[status(thm)],[])).
% 0.53/0.74 tff(61,plain,
% 0.53/0.74 (l1_orders_2(k2_yellow_1(k9_waybel_0(k3_yellow_1(A!1))))),
% 0.53/0.74 inference(unit_resolution,[status(thm)],[60, 59])).
% 0.53/0.74 tff(62,plain,
% 0.53/0.74 (^[A: $i] : refl((~(v3_struct_0(k3_yellow_1(A)) | (~v1_orders_2(k3_yellow_1(A))) | (~v2_orders_2(k3_yellow_1(A))) | (~v3_orders_2(k3_yellow_1(A))) | (~v4_orders_2(k3_yellow_1(A))) | (~v1_lattice3(k3_yellow_1(A))) | (~v2_lattice3(k3_yellow_1(A))) | (~v3_lattice3(k3_yellow_1(A))) | (~v1_yellow_0(k3_yellow_1(A))) | (~v2_yellow_0(k3_yellow_1(A))) | (~v3_yellow_0(k3_yellow_1(A))) | (~v24_waybel_0(k3_yellow_1(A))) | (~v25_waybel_0(k3_yellow_1(A))) | (~v2_waybel_1(k3_yellow_1(A))) | (~v9_waybel_1(k3_yellow_1(A))) | (~v10_waybel_1(k3_yellow_1(A))) | (~v11_waybel_1(k3_yellow_1(A))) | (~v2_waybel_3(k3_yellow_1(A))) | (~v3_waybel_3(k3_yellow_1(A))) | (~v1_waybel_8(k3_yellow_1(A))) | (~v2_waybel_8(k3_yellow_1(A))))) <=> (~(v3_struct_0(k3_yellow_1(A)) | (~v1_orders_2(k3_yellow_1(A))) | (~v2_orders_2(k3_yellow_1(A))) | (~v3_orders_2(k3_yellow_1(A))) | (~v4_orders_2(k3_yellow_1(A))) | (~v1_lattice3(k3_yellow_1(A))) | (~v2_lattice3(k3_yellow_1(A))) | (~v3_lattice3(k3_yellow_1(A))) | (~v1_yellow_0(k3_yellow_1(A))) | (~v2_yellow_0(k3_yellow_1(A))) | (~v3_yellow_0(k3_yellow_1(A))) | (~v24_waybel_0(k3_yellow_1(A))) | (~v25_waybel_0(k3_yellow_1(A))) | (~v2_waybel_1(k3_yellow_1(A))) | (~v9_waybel_1(k3_yellow_1(A))) | (~v10_waybel_1(k3_yellow_1(A))) | (~v11_waybel_1(k3_yellow_1(A))) | (~v2_waybel_3(k3_yellow_1(A))) | (~v3_waybel_3(k3_yellow_1(A))) | (~v1_waybel_8(k3_yellow_1(A))) | (~v2_waybel_8(k3_yellow_1(A))))))),
% 0.53/0.74 inference(bind,[status(th)],[])).
% 0.53/0.74 tff(63,plain,
% 0.53/0.74 (![A: $i] : (~(v3_struct_0(k3_yellow_1(A)) | (~v1_orders_2(k3_yellow_1(A))) | (~v2_orders_2(k3_yellow_1(A))) | (~v3_orders_2(k3_yellow_1(A))) | (~v4_orders_2(k3_yellow_1(A))) | (~v1_lattice3(k3_yellow_1(A))) | (~v2_lattice3(k3_yellow_1(A))) | (~v3_lattice3(k3_yellow_1(A))) | (~v1_yellow_0(k3_yellow_1(A))) | (~v2_yellow_0(k3_yellow_1(A))) | (~v3_yellow_0(k3_yellow_1(A))) | (~v24_waybel_0(k3_yellow_1(A))) | (~v25_waybel_0(k3_yellow_1(A))) | (~v2_waybel_1(k3_yellow_1(A))) | (~v9_waybel_1(k3_yellow_1(A))) | (~v10_waybel_1(k3_yellow_1(A))) | (~v11_waybel_1(k3_yellow_1(A))) | (~v2_waybel_3(k3_yellow_1(A))) | (~v3_waybel_3(k3_yellow_1(A))) | (~v1_waybel_8(k3_yellow_1(A))) | (~v2_waybel_8(k3_yellow_1(A))))) <=> ![A: $i] : (~(v3_struct_0(k3_yellow_1(A)) | (~v1_orders_2(k3_yellow_1(A))) | (~v2_orders_2(k3_yellow_1(A))) | (~v3_orders_2(k3_yellow_1(A))) | (~v4_orders_2(k3_yellow_1(A))) | (~v1_lattice3(k3_yellow_1(A))) | (~v2_lattice3(k3_yellow_1(A))) | (~v3_lattice3(k3_yellow_1(A))) | (~v1_yellow_0(k3_yellow_1(A))) | (~v2_yellow_0(k3_yellow_1(A))) | (~v3_yellow_0(k3_yellow_1(A))) | (~v24_waybel_0(k3_yellow_1(A))) | (~v25_waybel_0(k3_yellow_1(A))) | (~v2_waybel_1(k3_yellow_1(A))) | (~v9_waybel_1(k3_yellow_1(A))) | (~v10_waybel_1(k3_yellow_1(A))) | (~v11_waybel_1(k3_yellow_1(A))) | (~v2_waybel_3(k3_yellow_1(A))) | (~v3_waybel_3(k3_yellow_1(A))) | (~v1_waybel_8(k3_yellow_1(A))) | (~v2_waybel_8(k3_yellow_1(A)))))),
% 0.53/0.74 inference(quant_intro,[status(thm)],[62])).
% 0.53/0.74 tff(64,plain,
% 0.53/0.74 (^[A: $i] : rewrite(((~v3_struct_0(k3_yellow_1(A))) & v1_orders_2(k3_yellow_1(A)) & v2_orders_2(k3_yellow_1(A)) & v3_orders_2(k3_yellow_1(A)) & v4_orders_2(k3_yellow_1(A)) & v1_lattice3(k3_yellow_1(A)) & v2_lattice3(k3_yellow_1(A)) & v3_lattice3(k3_yellow_1(A)) & v1_yellow_0(k3_yellow_1(A)) & v2_yellow_0(k3_yellow_1(A)) & v3_yellow_0(k3_yellow_1(A)) & v24_waybel_0(k3_yellow_1(A)) & v25_waybel_0(k3_yellow_1(A)) & v2_waybel_1(k3_yellow_1(A)) & v9_waybel_1(k3_yellow_1(A)) & v10_waybel_1(k3_yellow_1(A)) & v11_waybel_1(k3_yellow_1(A)) & v2_waybel_3(k3_yellow_1(A)) & v3_waybel_3(k3_yellow_1(A)) & v1_waybel_8(k3_yellow_1(A)) & v2_waybel_8(k3_yellow_1(A))) <=> (~(v3_struct_0(k3_yellow_1(A)) | (~v1_orders_2(k3_yellow_1(A))) | (~v2_orders_2(k3_yellow_1(A))) | (~v3_orders_2(k3_yellow_1(A))) | (~v4_orders_2(k3_yellow_1(A))) | (~v1_lattice3(k3_yellow_1(A))) | (~v2_lattice3(k3_yellow_1(A))) | (~v3_lattice3(k3_yellow_1(A))) | (~v1_yellow_0(k3_yellow_1(A))) | (~v2_yellow_0(k3_yellow_1(A))) | (~v3_yellow_0(k3_yellow_1(A))) | (~v24_waybel_0(k3_yellow_1(A))) | (~v25_waybel_0(k3_yellow_1(A))) | (~v2_waybel_1(k3_yellow_1(A))) | (~v9_waybel_1(k3_yellow_1(A))) | (~v10_waybel_1(k3_yellow_1(A))) | (~v11_waybel_1(k3_yellow_1(A))) | (~v2_waybel_3(k3_yellow_1(A))) | (~v3_waybel_3(k3_yellow_1(A))) | (~v1_waybel_8(k3_yellow_1(A))) | (~v2_waybel_8(k3_yellow_1(A))))))),
% 0.53/0.74 inference(bind,[status(th)],[])).
% 0.53/0.74 tff(65,plain,
% 0.53/0.74 (![A: $i] : ((~v3_struct_0(k3_yellow_1(A))) & v1_orders_2(k3_yellow_1(A)) & v2_orders_2(k3_yellow_1(A)) & v3_orders_2(k3_yellow_1(A)) & v4_orders_2(k3_yellow_1(A)) & v1_lattice3(k3_yellow_1(A)) & v2_lattice3(k3_yellow_1(A)) & v3_lattice3(k3_yellow_1(A)) & v1_yellow_0(k3_yellow_1(A)) & v2_yellow_0(k3_yellow_1(A)) & v3_yellow_0(k3_yellow_1(A)) & v24_waybel_0(k3_yellow_1(A)) & v25_waybel_0(k3_yellow_1(A)) & v2_waybel_1(k3_yellow_1(A)) & v9_waybel_1(k3_yellow_1(A)) & v10_waybel_1(k3_yellow_1(A)) & v11_waybel_1(k3_yellow_1(A)) & v2_waybel_3(k3_yellow_1(A)) & v3_waybel_3(k3_yellow_1(A)) & v1_waybel_8(k3_yellow_1(A)) & v2_waybel_8(k3_yellow_1(A))) <=> ![A: $i] : (~(v3_struct_0(k3_yellow_1(A)) | (~v1_orders_2(k3_yellow_1(A))) | (~v2_orders_2(k3_yellow_1(A))) | (~v3_orders_2(k3_yellow_1(A))) | (~v4_orders_2(k3_yellow_1(A))) | (~v1_lattice3(k3_yellow_1(A))) | (~v2_lattice3(k3_yellow_1(A))) | (~v3_lattice3(k3_yellow_1(A))) | (~v1_yellow_0(k3_yellow_1(A))) | (~v2_yellow_0(k3_yellow_1(A))) | (~v3_yellow_0(k3_yellow_1(A))) | (~v24_waybel_0(k3_yellow_1(A))) | (~v25_waybel_0(k3_yellow_1(A))) | (~v2_waybel_1(k3_yellow_1(A))) | (~v9_waybel_1(k3_yellow_1(A))) | (~v10_waybel_1(k3_yellow_1(A))) | (~v11_waybel_1(k3_yellow_1(A))) | (~v2_waybel_3(k3_yellow_1(A))) | (~v3_waybel_3(k3_yellow_1(A))) | (~v1_waybel_8(k3_yellow_1(A))) | (~v2_waybel_8(k3_yellow_1(A)))))),
% 0.53/0.74 inference(quant_intro,[status(thm)],[64])).
% 0.53/0.74 tff(66,plain,
% 0.53/0.74 (![A: $i] : ((~v3_struct_0(k3_yellow_1(A))) & v1_orders_2(k3_yellow_1(A)) & v2_orders_2(k3_yellow_1(A)) & v3_orders_2(k3_yellow_1(A)) & v4_orders_2(k3_yellow_1(A)) & v1_lattice3(k3_yellow_1(A)) & v2_lattice3(k3_yellow_1(A)) & v3_lattice3(k3_yellow_1(A)) & v1_yellow_0(k3_yellow_1(A)) & v2_yellow_0(k3_yellow_1(A)) & v3_yellow_0(k3_yellow_1(A)) & v24_waybel_0(k3_yellow_1(A)) & v25_waybel_0(k3_yellow_1(A)) & v2_waybel_1(k3_yellow_1(A)) & v9_waybel_1(k3_yellow_1(A)) & v10_waybel_1(k3_yellow_1(A)) & v11_waybel_1(k3_yellow_1(A)) & v2_waybel_3(k3_yellow_1(A)) & v3_waybel_3(k3_yellow_1(A)) & v1_waybel_8(k3_yellow_1(A)) & v2_waybel_8(k3_yellow_1(A))) <=> ![A: $i] : ((~v3_struct_0(k3_yellow_1(A))) & v1_orders_2(k3_yellow_1(A)) & v2_orders_2(k3_yellow_1(A)) & v3_orders_2(k3_yellow_1(A)) & v4_orders_2(k3_yellow_1(A)) & v1_lattice3(k3_yellow_1(A)) & v2_lattice3(k3_yellow_1(A)) & v3_lattice3(k3_yellow_1(A)) & v1_yellow_0(k3_yellow_1(A)) & v2_yellow_0(k3_yellow_1(A)) & v3_yellow_0(k3_yellow_1(A)) & v24_waybel_0(k3_yellow_1(A)) & v25_waybel_0(k3_yellow_1(A)) & v2_waybel_1(k3_yellow_1(A)) & v9_waybel_1(k3_yellow_1(A)) & v10_waybel_1(k3_yellow_1(A)) & v11_waybel_1(k3_yellow_1(A)) & v2_waybel_3(k3_yellow_1(A)) & v3_waybel_3(k3_yellow_1(A)) & v1_waybel_8(k3_yellow_1(A)) & v2_waybel_8(k3_yellow_1(A)))),
% 0.53/0.74 inference(rewrite,[status(thm)],[])).
% 0.53/0.74 tff(67,plain,
% 0.53/0.74 (^[A: $i] : trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(rewrite((((~v3_struct_0(k3_yellow_1(A))) & v1_orders_2(k3_yellow_1(A))) & v2_orders_2(k3_yellow_1(A))) <=> ((~v3_struct_0(k3_yellow_1(A))) & v1_orders_2(k3_yellow_1(A)) & v2_orders_2(k3_yellow_1(A)))), (((((~v3_struct_0(k3_yellow_1(A))) & v1_orders_2(k3_yellow_1(A))) & v2_orders_2(k3_yellow_1(A))) & v3_orders_2(k3_yellow_1(A))) <=> (((~v3_struct_0(k3_yellow_1(A))) & v1_orders_2(k3_yellow_1(A)) & v2_orders_2(k3_yellow_1(A))) & v3_orders_2(k3_yellow_1(A))))), rewrite((((~v3_struct_0(k3_yellow_1(A))) & v1_orders_2(k3_yellow_1(A)) & v2_orders_2(k3_yellow_1(A))) & v3_orders_2(k3_yellow_1(A))) <=> ((~v3_struct_0(k3_yellow_1(A))) & v1_orders_2(k3_yellow_1(A)) & v2_orders_2(k3_yellow_1(A)) & v3_orders_2(k3_yellow_1(A)))), (((((~v3_struct_0(k3_yellow_1(A))) & v1_orders_2(k3_yellow_1(A))) & v2_orders_2(k3_yellow_1(A))) & v3_orders_2(k3_yellow_1(A))) <=> ((~v3_struct_0(k3_yellow_1(A))) & v1_orders_2(k3_yellow_1(A)) & v2_orders_2(k3_yellow_1(A)) & v3_orders_2(k3_yellow_1(A))))), ((((((~v3_struct_0(k3_yellow_1(A))) & v1_orders_2(k3_yellow_1(A))) & v2_orders_2(k3_yellow_1(A))) & v3_orders_2(k3_yellow_1(A))) & v4_orders_2(k3_yellow_1(A))) <=> (((~v3_struct_0(k3_yellow_1(A))) & v1_orders_2(k3_yellow_1(A)) & v2_orders_2(k3_yellow_1(A)) & v3_orders_2(k3_yellow_1(A))) & v4_orders_2(k3_yellow_1(A))))), rewrite((((~v3_struct_0(k3_yellow_1(A))) & v1_orders_2(k3_yellow_1(A)) & v2_orders_2(k3_yellow_1(A)) & v3_orders_2(k3_yellow_1(A))) & v4_orders_2(k3_yellow_1(A))) <=> ((~v3_struct_0(k3_yellow_1(A))) & v1_orders_2(k3_yellow_1(A)) & v2_orders_2(k3_yellow_1(A)) & v3_orders_2(k3_yellow_1(A)) & v4_orders_2(k3_yellow_1(A)))), ((((((~v3_struct_0(k3_yellow_1(A))) & v1_orders_2(k3_yellow_1(A))) & v2_orders_2(k3_yellow_1(A))) & v3_orders_2(k3_yellow_1(A))) & v4_orders_2(k3_yellow_1(A))) <=> ((~v3_struct_0(k3_yellow_1(A))) & v1_orders_2(k3_yellow_1(A)) & v2_orders_2(k3_yellow_1(A)) & v3_orders_2(k3_yellow_1(A)) & v4_orders_2(k3_yellow_1(A))))), (((((((~v3_struct_0(k3_yellow_1(A))) & v1_orders_2(k3_yellow_1(A))) & v2_orders_2(k3_yellow_1(A))) & v3_orders_2(k3_yellow_1(A))) & v4_orders_2(k3_yellow_1(A))) & v1_lattice3(k3_yellow_1(A))) <=> (((~v3_struct_0(k3_yellow_1(A))) & v1_orders_2(k3_yellow_1(A)) & v2_orders_2(k3_yellow_1(A)) & v3_orders_2(k3_yellow_1(A)) & v4_orders_2(k3_yellow_1(A))) & v1_lattice3(k3_yellow_1(A))))), rewrite((((~v3_struct_0(k3_yellow_1(A))) & v1_orders_2(k3_yellow_1(A)) & v2_orders_2(k3_yellow_1(A)) & v3_orders_2(k3_yellow_1(A)) & v4_orders_2(k3_yellow_1(A))) & v1_lattice3(k3_yellow_1(A))) <=> ((~v3_struct_0(k3_yellow_1(A))) & v1_orders_2(k3_yellow_1(A)) & v2_orders_2(k3_yellow_1(A)) & v3_orders_2(k3_yellow_1(A)) & v4_orders_2(k3_yellow_1(A)) & v1_lattice3(k3_yellow_1(A)))), (((((((~v3_struct_0(k3_yellow_1(A))) & v1_orders_2(k3_yellow_1(A))) & v2_orders_2(k3_yellow_1(A))) & v3_orders_2(k3_yellow_1(A))) & v4_orders_2(k3_yellow_1(A))) & v1_lattice3(k3_yellow_1(A))) <=> ((~v3_struct_0(k3_yellow_1(A))) & v1_orders_2(k3_yellow_1(A)) & v2_orders_2(k3_yellow_1(A)) & v3_orders_2(k3_yellow_1(A)) & v4_orders_2(k3_yellow_1(A)) & v1_lattice3(k3_yellow_1(A))))), ((((((((~v3_struct_0(k3_yellow_1(A))) & v1_orders_2(k3_yellow_1(A))) & v2_orders_2(k3_yellow_1(A))) & v3_orders_2(k3_yellow_1(A))) & v4_orders_2(k3_yellow_1(A))) & v1_lattice3(k3_yellow_1(A))) & v2_lattice3(k3_yellow_1(A))) <=> (((~v3_struct_0(k3_yellow_1(A))) & v1_orders_2(k3_yellow_1(A)) & v2_orders_2(k3_yellow_1(A)) & v3_orders_2(k3_yellow_1(A)) & v4_orders_2(k3_yellow_1(A)) & v1_lattice3(k3_yellow_1(A))) & v2_lattice3(k3_yellow_1(A))))), rewrite((((~v3_struct_0(k3_yellow_1(A))) & v1_orders_2(k3_yellow_1(A)) & v2_orders_2(k3_yellow_1(A)) & v3_orders_2(k3_yellow_1(A)) & v4_orders_2(k3_yellow_1(A)) & v1_lattice3(k3_yellow_1(A))) & v2_lattice3(k3_yellow_1(A))) <=> ((~v3_struct_0(k3_yellow_1(A))) & v1_orders_2(k3_yellow_1(A)) & v2_orders_2(k3_yellow_1(A)) & v3_orders_2(k3_yellow_1(A)) & v4_orders_2(k3_yellow_1(A)) & v1_lattice3(k3_yellow_1(A)) & v2_lattice3(k3_yellow_1(A)))), ((((((((~v3_struct_0(k3_yellow_1(A))) & v1_orders_2(k3_yellow_1(A))) & v2_orders_2(k3_yellow_1(A))) & v3_orders_2(k3_yellow_1(A))) & v4_orders_2(k3_yellow_1(A))) & v1_lattice3(k3_yellow_1(A))) & v2_lattice3(k3_yellow_1(A))) <=> ((~v3_struct_0(k3_yellow_1(A))) & v1_orders_2(k3_yellow_1(A)) & v2_orders_2(k3_yellow_1(A)) & v3_orders_2(k3_yellow_1(A)) & v4_orders_2(k3_yellow_1(A)) & v1_lattice3(k3_yellow_1(A)) & v2_lattice3(k3_yellow_1(A))))), (((((((((~v3_struct_0(k3_yellow_1(A))) & v1_orders_2(k3_yellow_1(A))) & v2_orders_2(k3_yellow_1(A))) & v3_orders_2(k3_yellow_1(A))) & v4_orders_2(k3_yellow_1(A))) & v1_lattice3(k3_yellow_1(A))) & v2_lattice3(k3_yellow_1(A))) & v3_lattice3(k3_yellow_1(A))) <=> (((~v3_struct_0(k3_yellow_1(A))) & v1_orders_2(k3_yellow_1(A)) & v2_orders_2(k3_yellow_1(A)) & v3_orders_2(k3_yellow_1(A)) & v4_orders_2(k3_yellow_1(A)) & v1_lattice3(k3_yellow_1(A)) & v2_lattice3(k3_yellow_1(A))) & v3_lattice3(k3_yellow_1(A))))), rewrite((((~v3_struct_0(k3_yellow_1(A))) & v1_orders_2(k3_yellow_1(A)) & v2_orders_2(k3_yellow_1(A)) & v3_orders_2(k3_yellow_1(A)) & v4_orders_2(k3_yellow_1(A)) & v1_lattice3(k3_yellow_1(A)) & v2_lattice3(k3_yellow_1(A))) & v3_lattice3(k3_yellow_1(A))) <=> ((~v3_struct_0(k3_yellow_1(A))) & v1_orders_2(k3_yellow_1(A)) & v2_orders_2(k3_yellow_1(A)) & v3_orders_2(k3_yellow_1(A)) & v4_orders_2(k3_yellow_1(A)) & v1_lattice3(k3_yellow_1(A)) & v2_lattice3(k3_yellow_1(A)) & v3_lattice3(k3_yellow_1(A)))), (((((((((~v3_struct_0(k3_yellow_1(A))) & v1_orders_2(k3_yellow_1(A))) & v2_orders_2(k3_yellow_1(A))) & v3_orders_2(k3_yellow_1(A))) & v4_orders_2(k3_yellow_1(A))) & v1_lattice3(k3_yellow_1(A))) & v2_lattice3(k3_yellow_1(A))) & v3_lattice3(k3_yellow_1(A))) <=> ((~v3_struct_0(k3_yellow_1(A))) & v1_orders_2(k3_yellow_1(A)) & v2_orders_2(k3_yellow_1(A)) & v3_orders_2(k3_yellow_1(A)) & v4_orders_2(k3_yellow_1(A)) & v1_lattice3(k3_yellow_1(A)) & v2_lattice3(k3_yellow_1(A)) & v3_lattice3(k3_yellow_1(A))))), ((((((((((~v3_struct_0(k3_yellow_1(A))) & v1_orders_2(k3_yellow_1(A))) & v2_orders_2(k3_yellow_1(A))) & v3_orders_2(k3_yellow_1(A))) & v4_orders_2(k3_yellow_1(A))) & v1_lattice3(k3_yellow_1(A))) & v2_lattice3(k3_yellow_1(A))) & v3_lattice3(k3_yellow_1(A))) & v1_yellow_0(k3_yellow_1(A))) <=> (((~v3_struct_0(k3_yellow_1(A))) & v1_orders_2(k3_yellow_1(A)) & v2_orders_2(k3_yellow_1(A)) & v3_orders_2(k3_yellow_1(A)) & v4_orders_2(k3_yellow_1(A)) & v1_lattice3(k3_yellow_1(A)) & v2_lattice3(k3_yellow_1(A)) & v3_lattice3(k3_yellow_1(A))) & v1_yellow_0(k3_yellow_1(A))))), rewrite((((~v3_struct_0(k3_yellow_1(A))) & v1_orders_2(k3_yellow_1(A)) & v2_orders_2(k3_yellow_1(A)) & v3_orders_2(k3_yellow_1(A)) & v4_orders_2(k3_yellow_1(A)) & v1_lattice3(k3_yellow_1(A)) & v2_lattice3(k3_yellow_1(A)) & v3_lattice3(k3_yellow_1(A))) & v1_yellow_0(k3_yellow_1(A))) <=> ((~v3_struct_0(k3_yellow_1(A))) & v1_orders_2(k3_yellow_1(A)) & v2_orders_2(k3_yellow_1(A)) & v3_orders_2(k3_yellow_1(A)) & v4_orders_2(k3_yellow_1(A)) & v1_lattice3(k3_yellow_1(A)) & v2_lattice3(k3_yellow_1(A)) & v3_lattice3(k3_yellow_1(A)) & v1_yellow_0(k3_yellow_1(A)))), ((((((((((~v3_struct_0(k3_yellow_1(A))) & v1_orders_2(k3_yellow_1(A))) & v2_orders_2(k3_yellow_1(A))) & v3_orders_2(k3_yellow_1(A))) & v4_orders_2(k3_yellow_1(A))) & v1_lattice3(k3_yellow_1(A))) & v2_lattice3(k3_yellow_1(A))) & v3_lattice3(k3_yellow_1(A))) & v1_yellow_0(k3_yellow_1(A))) <=> ((~v3_struct_0(k3_yellow_1(A))) & v1_orders_2(k3_yellow_1(A)) & v2_orders_2(k3_yellow_1(A)) & v3_orders_2(k3_yellow_1(A)) & v4_orders_2(k3_yellow_1(A)) & v1_lattice3(k3_yellow_1(A)) & v2_lattice3(k3_yellow_1(A)) & v3_lattice3(k3_yellow_1(A)) & v1_yellow_0(k3_yellow_1(A))))), (((((((((((~v3_struct_0(k3_yellow_1(A))) & v1_orders_2(k3_yellow_1(A))) & v2_orders_2(k3_yellow_1(A))) & v3_orders_2(k3_yellow_1(A))) & v4_orders_2(k3_yellow_1(A))) & v1_lattice3(k3_yellow_1(A))) & v2_lattice3(k3_yellow_1(A))) & v3_lattice3(k3_yellow_1(A))) & v1_yellow_0(k3_yellow_1(A))) & v2_yellow_0(k3_yellow_1(A))) <=> (((~v3_struct_0(k3_yellow_1(A))) & v1_orders_2(k3_yellow_1(A)) & v2_orders_2(k3_yellow_1(A)) & v3_orders_2(k3_yellow_1(A)) & v4_orders_2(k3_yellow_1(A)) & v1_lattice3(k3_yellow_1(A)) & v2_lattice3(k3_yellow_1(A)) & v3_lattice3(k3_yellow_1(A)) & v1_yellow_0(k3_yellow_1(A))) & v2_yellow_0(k3_yellow_1(A))))), rewrite((((~v3_struct_0(k3_yellow_1(A))) & v1_orders_2(k3_yellow_1(A)) & v2_orders_2(k3_yellow_1(A)) & v3_orders_2(k3_yellow_1(A)) & v4_orders_2(k3_yellow_1(A)) & v1_lattice3(k3_yellow_1(A)) & v2_lattice3(k3_yellow_1(A)) & v3_lattice3(k3_yellow_1(A)) & v1_yellow_0(k3_yellow_1(A))) & v2_yellow_0(k3_yellow_1(A))) <=> ((~v3_struct_0(k3_yellow_1(A))) & v1_orders_2(k3_yellow_1(A)) & v2_orders_2(k3_yellow_1(A)) & v3_orders_2(k3_yellow_1(A)) & v4_orders_2(k3_yellow_1(A)) & v1_lattice3(k3_yellow_1(A)) & v2_lattice3(k3_yellow_1(A)) & v3_lattice3(k3_yellow_1(A)) & v1_yellow_0(k3_yellow_1(A)) & v2_yellow_0(k3_yellow_1(A)))), (((((((((((~v3_struct_0(k3_yellow_1(A))) & v1_orders_2(k3_yellow_1(A))) & v2_orders_2(k3_yellow_1(A))) & v3_orders_2(k3_yellow_1(A))) & v4_orders_2(k3_yellow_1(A))) & v1_lattice3(k3_yellow_1(A))) & v2_lattice3(k3_yellow_1(A))) & v3_lattice3(k3_yellow_1(A))) & v1_yellow_0(k3_yellow_1(A))) & v2_yellow_0(k3_yellow_1(A))) <=> ((~v3_struct_0(k3_yellow_1(A))) & v1_orders_2(k3_yellow_1(A)) & v2_orders_2(k3_yellow_1(A)) & v3_orders_2(k3_yellow_1(A)) & v4_orders_2(k3_yellow_1(A)) & v1_lattice3(k3_yellow_1(A)) & v2_lattice3(k3_yellow_1(A)) & v3_lattice3(k3_yellow_1(A)) & v1_yellow_0(k3_yellow_1(A)) & v2_yellow_0(k3_yellow_1(A))))), ((((((((((((~v3_struct_0(k3_yellow_1(A))) & v1_orders_2(k3_yellow_1(A))) & v2_orders_2(k3_yellow_1(A))) & v3_orders_2(k3_yellow_1(A))) & v4_orders_2(k3_yellow_1(A))) & v1_lattice3(k3_yellow_1(A))) & v2_lattice3(k3_yellow_1(A))) & v3_lattice3(k3_yellow_1(A))) & v1_yellow_0(k3_yellow_1(A))) & v2_yellow_0(k3_yellow_1(A))) & v3_yellow_0(k3_yellow_1(A))) <=> (((~v3_struct_0(k3_yellow_1(A))) & v1_orders_2(k3_yellow_1(A)) & v2_orders_2(k3_yellow_1(A)) & v3_orders_2(k3_yellow_1(A)) & v4_orders_2(k3_yellow_1(A)) & v1_lattice3(k3_yellow_1(A)) & v2_lattice3(k3_yellow_1(A)) & v3_lattice3(k3_yellow_1(A)) & v1_yellow_0(k3_yellow_1(A)) & v2_yellow_0(k3_yellow_1(A))) & v3_yellow_0(k3_yellow_1(A))))), rewrite((((~v3_struct_0(k3_yellow_1(A))) & v1_orders_2(k3_yellow_1(A)) & v2_orders_2(k3_yellow_1(A)) & v3_orders_2(k3_yellow_1(A)) & v4_orders_2(k3_yellow_1(A)) & v1_lattice3(k3_yellow_1(A)) & v2_lattice3(k3_yellow_1(A)) & v3_lattice3(k3_yellow_1(A)) & v1_yellow_0(k3_yellow_1(A)) & v2_yellow_0(k3_yellow_1(A))) & v3_yellow_0(k3_yellow_1(A))) <=> ((~v3_struct_0(k3_yellow_1(A))) & v1_orders_2(k3_yellow_1(A)) & v2_orders_2(k3_yellow_1(A)) & v3_orders_2(k3_yellow_1(A)) & v4_orders_2(k3_yellow_1(A)) & v1_lattice3(k3_yellow_1(A)) & v2_lattice3(k3_yellow_1(A)) & v3_lattice3(k3_yellow_1(A)) & v1_yellow_0(k3_yellow_1(A)) & v2_yellow_0(k3_yellow_1(A)) & v3_yellow_0(k3_yellow_1(A)))), ((((((((((((~v3_struct_0(k3_yellow_1(A))) & v1_orders_2(k3_yellow_1(A))) & v2_orders_2(k3_yellow_1(A))) & v3_orders_2(k3_yellow_1(A))) & v4_orders_2(k3_yellow_1(A))) & v1_lattice3(k3_yellow_1(A))) & v2_lattice3(k3_yellow_1(A))) & v3_lattice3(k3_yellow_1(A))) & v1_yellow_0(k3_yellow_1(A))) & v2_yellow_0(k3_yellow_1(A))) & v3_yellow_0(k3_yellow_1(A))) <=> ((~v3_struct_0(k3_yellow_1(A))) & v1_orders_2(k3_yellow_1(A)) & v2_orders_2(k3_yellow_1(A)) & v3_orders_2(k3_yellow_1(A)) & v4_orders_2(k3_yellow_1(A)) & v1_lattice3(k3_yellow_1(A)) & v2_lattice3(k3_yellow_1(A)) & v3_lattice3(k3_yellow_1(A)) & v1_yellow_0(k3_yellow_1(A)) & v2_yellow_0(k3_yellow_1(A)) & v3_yellow_0(k3_yellow_1(A))))), (((((((((((((~v3_struct_0(k3_yellow_1(A))) & v1_orders_2(k3_yellow_1(A))) & v2_orders_2(k3_yellow_1(A))) & v3_orders_2(k3_yellow_1(A))) & v4_orders_2(k3_yellow_1(A))) & v1_lattice3(k3_yellow_1(A))) & v2_lattice3(k3_yellow_1(A))) & v3_lattice3(k3_yellow_1(A))) & v1_yellow_0(k3_yellow_1(A))) & v2_yellow_0(k3_yellow_1(A))) & v3_yellow_0(k3_yellow_1(A))) & v24_waybel_0(k3_yellow_1(A))) <=> (((~v3_struct_0(k3_yellow_1(A))) & v1_orders_2(k3_yellow_1(A)) & v2_orders_2(k3_yellow_1(A)) & v3_orders_2(k3_yellow_1(A)) & v4_orders_2(k3_yellow_1(A)) & v1_lattice3(k3_yellow_1(A)) & v2_lattice3(k3_yellow_1(A)) & v3_lattice3(k3_yellow_1(A)) & v1_yellow_0(k3_yellow_1(A)) & v2_yellow_0(k3_yellow_1(A)) & v3_yellow_0(k3_yellow_1(A))) & v24_waybel_0(k3_yellow_1(A))))), rewrite((((~v3_struct_0(k3_yellow_1(A))) & v1_orders_2(k3_yellow_1(A)) & v2_orders_2(k3_yellow_1(A)) & v3_orders_2(k3_yellow_1(A)) & v4_orders_2(k3_yellow_1(A)) & v1_lattice3(k3_yellow_1(A)) & v2_lattice3(k3_yellow_1(A)) & v3_lattice3(k3_yellow_1(A)) & v1_yellow_0(k3_yellow_1(A)) & v2_yellow_0(k3_yellow_1(A)) & v3_yellow_0(k3_yellow_1(A))) & v24_waybel_0(k3_yellow_1(A))) <=> ((~v3_struct_0(k3_yellow_1(A))) & v1_orders_2(k3_yellow_1(A)) & v2_orders_2(k3_yellow_1(A)) & v3_orders_2(k3_yellow_1(A)) & v4_orders_2(k3_yellow_1(A)) & v1_lattice3(k3_yellow_1(A)) & v2_lattice3(k3_yellow_1(A)) & v3_lattice3(k3_yellow_1(A)) & v1_yellow_0(k3_yellow_1(A)) & v2_yellow_0(k3_yellow_1(A)) & v3_yellow_0(k3_yellow_1(A)) & v24_waybel_0(k3_yellow_1(A)))), (((((((((((((~v3_struct_0(k3_yellow_1(A))) & v1_orders_2(k3_yellow_1(A))) & v2_orders_2(k3_yellow_1(A))) & v3_orders_2(k3_yellow_1(A))) & v4_orders_2(k3_yellow_1(A))) & v1_lattice3(k3_yellow_1(A))) & v2_lattice3(k3_yellow_1(A))) & v3_lattice3(k3_yellow_1(A))) & v1_yellow_0(k3_yellow_1(A))) & v2_yellow_0(k3_yellow_1(A))) & v3_yellow_0(k3_yellow_1(A))) & v24_waybel_0(k3_yellow_1(A))) <=> ((~v3_struct_0(k3_yellow_1(A))) & v1_orders_2(k3_yellow_1(A)) & v2_orders_2(k3_yellow_1(A)) & v3_orders_2(k3_yellow_1(A)) & v4_orders_2(k3_yellow_1(A)) & v1_lattice3(k3_yellow_1(A)) & v2_lattice3(k3_yellow_1(A)) & v3_lattice3(k3_yellow_1(A)) & v1_yellow_0(k3_yellow_1(A)) & v2_yellow_0(k3_yellow_1(A)) & v3_yellow_0(k3_yellow_1(A)) & v24_waybel_0(k3_yellow_1(A))))), ((((((((((((((~v3_struct_0(k3_yellow_1(A))) & v1_orders_2(k3_yellow_1(A))) & v2_orders_2(k3_yellow_1(A))) & v3_orders_2(k3_yellow_1(A))) & v4_orders_2(k3_yellow_1(A))) & v1_lattice3(k3_yellow_1(A))) & v2_lattice3(k3_yellow_1(A))) & v3_lattice3(k3_yellow_1(A))) & v1_yellow_0(k3_yellow_1(A))) & v2_yellow_0(k3_yellow_1(A))) & v3_yellow_0(k3_yellow_1(A))) & v24_waybel_0(k3_yellow_1(A))) & v25_waybel_0(k3_yellow_1(A))) <=> (((~v3_struct_0(k3_yellow_1(A))) & v1_orders_2(k3_yellow_1(A)) & v2_orders_2(k3_yellow_1(A)) & v3_orders_2(k3_yellow_1(A)) & v4_orders_2(k3_yellow_1(A)) & v1_lattice3(k3_yellow_1(A)) & v2_lattice3(k3_yellow_1(A)) & v3_lattice3(k3_yellow_1(A)) & v1_yellow_0(k3_yellow_1(A)) & v2_yellow_0(k3_yellow_1(A)) & v3_yellow_0(k3_yellow_1(A)) & v24_waybel_0(k3_yellow_1(A))) & v25_waybel_0(k3_yellow_1(A))))), rewrite((((~v3_struct_0(k3_yellow_1(A))) & v1_orders_2(k3_yellow_1(A)) & v2_orders_2(k3_yellow_1(A)) & v3_orders_2(k3_yellow_1(A)) & v4_orders_2(k3_yellow_1(A)) & v1_lattice3(k3_yellow_1(A)) & v2_lattice3(k3_yellow_1(A)) & v3_lattice3(k3_yellow_1(A)) & v1_yellow_0(k3_yellow_1(A)) & v2_yellow_0(k3_yellow_1(A)) & v3_yellow_0(k3_yellow_1(A)) & v24_waybel_0(k3_yellow_1(A))) & v25_waybel_0(k3_yellow_1(A))) <=> ((~v3_struct_0(k3_yellow_1(A))) & v1_orders_2(k3_yellow_1(A)) & v2_orders_2(k3_yellow_1(A)) & v3_orders_2(k3_yellow_1(A)) & v4_orders_2(k3_yellow_1(A)) & v1_lattice3(k3_yellow_1(A)) & v2_lattice3(k3_yellow_1(A)) & v3_lattice3(k3_yellow_1(A)) & v1_yellow_0(k3_yellow_1(A)) & v2_yellow_0(k3_yellow_1(A)) & v3_yellow_0(k3_yellow_1(A)) & v24_waybel_0(k3_yellow_1(A)) & v25_waybel_0(k3_yellow_1(A)))), ((((((((((((((~v3_struct_0(k3_yellow_1(A))) & v1_orders_2(k3_yellow_1(A))) & v2_orders_2(k3_yellow_1(A))) & v3_orders_2(k3_yellow_1(A))) & v4_orders_2(k3_yellow_1(A))) & v1_lattice3(k3_yellow_1(A))) & v2_lattice3(k3_yellow_1(A))) & v3_lattice3(k3_yellow_1(A))) & v1_yellow_0(k3_yellow_1(A))) & v2_yellow_0(k3_yellow_1(A))) & v3_yellow_0(k3_yellow_1(A))) & v24_waybel_0(k3_yellow_1(A))) & v25_waybel_0(k3_yellow_1(A))) <=> ((~v3_struct_0(k3_yellow_1(A))) & v1_orders_2(k3_yellow_1(A)) & v2_orders_2(k3_yellow_1(A)) & v3_orders_2(k3_yellow_1(A)) & v4_orders_2(k3_yellow_1(A)) & v1_lattice3(k3_yellow_1(A)) & v2_lattice3(k3_yellow_1(A)) & v3_lattice3(k3_yellow_1(A)) & v1_yellow_0(k3_yellow_1(A)) & v2_yellow_0(k3_yellow_1(A)) & v3_yellow_0(k3_yellow_1(A)) & v24_waybel_0(k3_yellow_1(A)) & v25_waybel_0(k3_yellow_1(A))))), (((((((((((((((~v3_struct_0(k3_yellow_1(A))) & v1_orders_2(k3_yellow_1(A))) & v2_orders_2(k3_yellow_1(A))) & v3_orders_2(k3_yellow_1(A))) & v4_orders_2(k3_yellow_1(A))) & v1_lattice3(k3_yellow_1(A))) & v2_lattice3(k3_yellow_1(A))) & v3_lattice3(k3_yellow_1(A))) & v1_yellow_0(k3_yellow_1(A))) & v2_yellow_0(k3_yellow_1(A))) & v3_yellow_0(k3_yellow_1(A))) & v24_waybel_0(k3_yellow_1(A))) & v25_waybel_0(k3_yellow_1(A))) & v2_waybel_1(k3_yellow_1(A))) <=> (((~v3_struct_0(k3_yellow_1(A))) & v1_orders_2(k3_yellow_1(A)) & v2_orders_2(k3_yellow_1(A)) & v3_orders_2(k3_yellow_1(A)) & v4_orders_2(k3_yellow_1(A)) & v1_lattice3(k3_yellow_1(A)) & v2_lattice3(k3_yellow_1(A)) & v3_lattice3(k3_yellow_1(A)) & v1_yellow_0(k3_yellow_1(A)) & v2_yellow_0(k3_yellow_1(A)) & v3_yellow_0(k3_yellow_1(A)) & v24_waybel_0(k3_yellow_1(A)) & v25_waybel_0(k3_yellow_1(A))) & v2_waybel_1(k3_yellow_1(A))))), rewrite((((~v3_struct_0(k3_yellow_1(A))) & v1_orders_2(k3_yellow_1(A)) & v2_orders_2(k3_yellow_1(A)) & v3_orders_2(k3_yellow_1(A)) & v4_orders_2(k3_yellow_1(A)) & v1_lattice3(k3_yellow_1(A)) & v2_lattice3(k3_yellow_1(A)) & v3_lattice3(k3_yellow_1(A)) & v1_yellow_0(k3_yellow_1(A)) & v2_yellow_0(k3_yellow_1(A)) & v3_yellow_0(k3_yellow_1(A)) & v24_waybel_0(k3_yellow_1(A)) & v25_waybel_0(k3_yellow_1(A))) & v2_waybel_1(k3_yellow_1(A))) <=> ((~v3_struct_0(k3_yellow_1(A))) & v1_orders_2(k3_yellow_1(A)) & v2_orders_2(k3_yellow_1(A)) & v3_orders_2(k3_yellow_1(A)) & v4_orders_2(k3_yellow_1(A)) & v1_lattice3(k3_yellow_1(A)) & v2_lattice3(k3_yellow_1(A)) & v3_lattice3(k3_yellow_1(A)) & v1_yellow_0(k3_yellow_1(A)) & v2_yellow_0(k3_yellow_1(A)) & v3_yellow_0(k3_yellow_1(A)) & v24_waybel_0(k3_yellow_1(A)) & v25_waybel_0(k3_yellow_1(A)) & v2_waybel_1(k3_yellow_1(A)))), (((((((((((((((~v3_struct_0(k3_yellow_1(A))) & v1_orders_2(k3_yellow_1(A))) & v2_orders_2(k3_yellow_1(A))) & v3_orders_2(k3_yellow_1(A))) & v4_orders_2(k3_yellow_1(A))) & v1_lattice3(k3_yellow_1(A))) & v2_lattice3(k3_yellow_1(A))) & v3_lattice3(k3_yellow_1(A))) & v1_yellow_0(k3_yellow_1(A))) & v2_yellow_0(k3_yellow_1(A))) & v3_yellow_0(k3_yellow_1(A))) & v24_waybel_0(k3_yellow_1(A))) & v25_waybel_0(k3_yellow_1(A))) & v2_waybel_1(k3_yellow_1(A))) <=> ((~v3_struct_0(k3_yellow_1(A))) & v1_orders_2(k3_yellow_1(A)) & v2_orders_2(k3_yellow_1(A)) & v3_orders_2(k3_yellow_1(A)) & v4_orders_2(k3_yellow_1(A)) & v1_lattice3(k3_yellow_1(A)) & v2_lattice3(k3_yellow_1(A)) & v3_lattice3(k3_yellow_1(A)) & v1_yellow_0(k3_yellow_1(A)) & v2_yellow_0(k3_yellow_1(A)) & v3_yellow_0(k3_yellow_1(A)) & v24_waybel_0(k3_yellow_1(A)) & v25_waybel_0(k3_yellow_1(A)) & v2_waybel_1(k3_yellow_1(A))))), ((((((((((((((((~v3_struct_0(k3_yellow_1(A))) & v1_orders_2(k3_yellow_1(A))) & v2_orders_2(k3_yellow_1(A))) & v3_orders_2(k3_yellow_1(A))) & v4_orders_2(k3_yellow_1(A))) & v1_lattice3(k3_yellow_1(A))) & v2_lattice3(k3_yellow_1(A))) & v3_lattice3(k3_yellow_1(A))) & v1_yellow_0(k3_yellow_1(A))) & v2_yellow_0(k3_yellow_1(A))) & v3_yellow_0(k3_yellow_1(A))) & v24_waybel_0(k3_yellow_1(A))) & v25_waybel_0(k3_yellow_1(A))) & v2_waybel_1(k3_yellow_1(A))) & v9_waybel_1(k3_yellow_1(A))) <=> (((~v3_struct_0(k3_yellow_1(A))) & v1_orders_2(k3_yellow_1(A)) & v2_orders_2(k3_yellow_1(A)) & v3_orders_2(k3_yellow_1(A)) & v4_orders_2(k3_yellow_1(A)) & v1_lattice3(k3_yellow_1(A)) & v2_lattice3(k3_yellow_1(A)) & v3_lattice3(k3_yellow_1(A)) & v1_yellow_0(k3_yellow_1(A)) & v2_yellow_0(k3_yellow_1(A)) & v3_yellow_0(k3_yellow_1(A)) & v24_waybel_0(k3_yellow_1(A)) & v25_waybel_0(k3_yellow_1(A)) & v2_waybel_1(k3_yellow_1(A))) & v9_waybel_1(k3_yellow_1(A))))), rewrite((((~v3_struct_0(k3_yellow_1(A))) & v1_orders_2(k3_yellow_1(A)) & v2_orders_2(k3_yellow_1(A)) & v3_orders_2(k3_yellow_1(A)) & v4_orders_2(k3_yellow_1(A)) & v1_lattice3(k3_yellow_1(A)) & v2_lattice3(k3_yellow_1(A)) & v3_lattice3(k3_yellow_1(A)) & v1_yellow_0(k3_yellow_1(A)) & v2_yellow_0(k3_yellow_1(A)) & v3_yellow_0(k3_yellow_1(A)) & v24_waybel_0(k3_yellow_1(A)) & v25_waybel_0(k3_yellow_1(A)) & v2_waybel_1(k3_yellow_1(A))) & v9_waybel_1(k3_yellow_1(A))) <=> ((~v3_struct_0(k3_yellow_1(A))) & v1_orders_2(k3_yellow_1(A)) & v2_orders_2(k3_yellow_1(A)) & v3_orders_2(k3_yellow_1(A)) & v4_orders_2(k3_yellow_1(A)) & v1_lattice3(k3_yellow_1(A)) & v2_lattice3(k3_yellow_1(A)) & v3_lattice3(k3_yellow_1(A)) & v1_yellow_0(k3_yellow_1(A)) & v2_yellow_0(k3_yellow_1(A)) & v3_yellow_0(k3_yellow_1(A)) & v24_waybel_0(k3_yellow_1(A)) & v25_waybel_0(k3_yellow_1(A)) & v2_waybel_1(k3_yellow_1(A)) & v9_waybel_1(k3_yellow_1(A)))), ((((((((((((((((~v3_struct_0(k3_yellow_1(A))) & v1_orders_2(k3_yellow_1(A))) & v2_orders_2(k3_yellow_1(A))) & v3_orders_2(k3_yellow_1(A))) & v4_orders_2(k3_yellow_1(A))) & v1_lattice3(k3_yellow_1(A))) & v2_lattice3(k3_yellow_1(A))) & v3_lattice3(k3_yellow_1(A))) & v1_yellow_0(k3_yellow_1(A))) & v2_yellow_0(k3_yellow_1(A))) & v3_yellow_0(k3_yellow_1(A))) & v24_waybel_0(k3_yellow_1(A))) & v25_waybel_0(k3_yellow_1(A))) & v2_waybel_1(k3_yellow_1(A))) & v9_waybel_1(k3_yellow_1(A))) <=> ((~v3_struct_0(k3_yellow_1(A))) & v1_orders_2(k3_yellow_1(A)) & v2_orders_2(k3_yellow_1(A)) & v3_orders_2(k3_yellow_1(A)) & v4_orders_2(k3_yellow_1(A)) & v1_lattice3(k3_yellow_1(A)) & v2_lattice3(k3_yellow_1(A)) & v3_lattice3(k3_yellow_1(A)) & v1_yellow_0(k3_yellow_1(A)) & v2_yellow_0(k3_yellow_1(A)) & v3_yellow_0(k3_yellow_1(A)) & v24_waybel_0(k3_yellow_1(A)) & v25_waybel_0(k3_yellow_1(A)) & v2_waybel_1(k3_yellow_1(A)) & v9_waybel_1(k3_yellow_1(A))))), (((((((((((((((((~v3_struct_0(k3_yellow_1(A))) & v1_orders_2(k3_yellow_1(A))) & v2_orders_2(k3_yellow_1(A))) & v3_orders_2(k3_yellow_1(A))) & v4_orders_2(k3_yellow_1(A))) & v1_lattice3(k3_yellow_1(A))) & v2_lattice3(k3_yellow_1(A))) & v3_lattice3(k3_yellow_1(A))) & v1_yellow_0(k3_yellow_1(A))) & v2_yellow_0(k3_yellow_1(A))) & v3_yellow_0(k3_yellow_1(A))) & v24_waybel_0(k3_yellow_1(A))) & v25_waybel_0(k3_yellow_1(A))) & v2_waybel_1(k3_yellow_1(A))) & v9_waybel_1(k3_yellow_1(A))) & v10_waybel_1(k3_yellow_1(A))) <=> (((~v3_struct_0(k3_yellow_1(A))) & v1_orders_2(k3_yellow_1(A)) & v2_orders_2(k3_yellow_1(A)) & v3_orders_2(k3_yellow_1(A)) & v4_orders_2(k3_yellow_1(A)) & v1_lattice3(k3_yellow_1(A)) & v2_lattice3(k3_yellow_1(A)) & v3_lattice3(k3_yellow_1(A)) & v1_yellow_0(k3_yellow_1(A)) & v2_yellow_0(k3_yellow_1(A)) & v3_yellow_0(k3_yellow_1(A)) & v24_waybel_0(k3_yellow_1(A)) & v25_waybel_0(k3_yellow_1(A)) & v2_waybel_1(k3_yellow_1(A)) & v9_waybel_1(k3_yellow_1(A))) & v10_waybel_1(k3_yellow_1(A))))), rewrite((((~v3_struct_0(k3_yellow_1(A))) & v1_orders_2(k3_yellow_1(A)) & v2_orders_2(k3_yellow_1(A)) & v3_orders_2(k3_yellow_1(A)) & v4_orders_2(k3_yellow_1(A)) & v1_lattice3(k3_yellow_1(A)) & v2_lattice3(k3_yellow_1(A)) & v3_lattice3(k3_yellow_1(A)) & v1_yellow_0(k3_yellow_1(A)) & v2_yellow_0(k3_yellow_1(A)) & v3_yellow_0(k3_yellow_1(A)) & v24_waybel_0(k3_yellow_1(A)) & v25_waybel_0(k3_yellow_1(A)) & v2_waybel_1(k3_yellow_1(A)) & v9_waybel_1(k3_yellow_1(A))) & v10_waybel_1(k3_yellow_1(A))) <=> ((~v3_struct_0(k3_yellow_1(A))) & v1_orders_2(k3_yellow_1(A)) & v2_orders_2(k3_yellow_1(A)) & v3_orders_2(k3_yellow_1(A)) & v4_orders_2(k3_yellow_1(A)) & v1_lattice3(k3_yellow_1(A)) & v2_lattice3(k3_yellow_1(A)) & v3_lattice3(k3_yellow_1(A)) & v1_yellow_0(k3_yellow_1(A)) & v2_yellow_0(k3_yellow_1(A)) & v3_yellow_0(k3_yellow_1(A)) & v24_waybel_0(k3_yellow_1(A)) & v25_waybel_0(k3_yellow_1(A)) & v2_waybel_1(k3_yellow_1(A)) & v9_waybel_1(k3_yellow_1(A)) & v10_waybel_1(k3_yellow_1(A)))), (((((((((((((((((~v3_struct_0(k3_yellow_1(A))) & v1_orders_2(k3_yellow_1(A))) & v2_orders_2(k3_yellow_1(A))) & v3_orders_2(k3_yellow_1(A))) & v4_orders_2(k3_yellow_1(A))) & v1_lattice3(k3_yellow_1(A))) & v2_lattice3(k3_yellow_1(A))) & v3_lattice3(k3_yellow_1(A))) & v1_yellow_0(k3_yellow_1(A))) & v2_yellow_0(k3_yellow_1(A))) & v3_yellow_0(k3_yellow_1(A))) & v24_waybel_0(k3_yellow_1(A))) & v25_waybel_0(k3_yellow_1(A))) & v2_waybel_1(k3_yellow_1(A))) & v9_waybel_1(k3_yellow_1(A))) & v10_waybel_1(k3_yellow_1(A))) <=> ((~v3_struct_0(k3_yellow_1(A))) & v1_orders_2(k3_yellow_1(A)) & v2_orders_2(k3_yellow_1(A)) & v3_orders_2(k3_yellow_1(A)) & v4_orders_2(k3_yellow_1(A)) & v1_lattice3(k3_yellow_1(A)) & v2_lattice3(k3_yellow_1(A)) & v3_lattice3(k3_yellow_1(A)) & v1_yellow_0(k3_yellow_1(A)) & v2_yellow_0(k3_yellow_1(A)) & v3_yellow_0(k3_yellow_1(A)) & v24_waybel_0(k3_yellow_1(A)) & v25_waybel_0(k3_yellow_1(A)) & v2_waybel_1(k3_yellow_1(A)) & v9_waybel_1(k3_yellow_1(A)) & v10_waybel_1(k3_yellow_1(A))))), ((((((((((((((((((~v3_struct_0(k3_yellow_1(A))) & v1_orders_2(k3_yellow_1(A))) & v2_orders_2(k3_yellow_1(A))) & v3_orders_2(k3_yellow_1(A))) & v4_orders_2(k3_yellow_1(A))) & v1_lattice3(k3_yellow_1(A))) & v2_lattice3(k3_yellow_1(A))) & v3_lattice3(k3_yellow_1(A))) & v1_yellow_0(k3_yellow_1(A))) & v2_yellow_0(k3_yellow_1(A))) & v3_yellow_0(k3_yellow_1(A))) & v24_waybel_0(k3_yellow_1(A))) & v25_waybel_0(k3_yellow_1(A))) & v2_waybel_1(k3_yellow_1(A))) & v9_waybel_1(k3_yellow_1(A))) & v10_waybel_1(k3_yellow_1(A))) & v11_waybel_1(k3_yellow_1(A))) <=> (((~v3_struct_0(k3_yellow_1(A))) & v1_orders_2(k3_yellow_1(A)) & v2_orders_2(k3_yellow_1(A)) & v3_orders_2(k3_yellow_1(A)) & v4_orders_2(k3_yellow_1(A)) & v1_lattice3(k3_yellow_1(A)) & v2_lattice3(k3_yellow_1(A)) & v3_lattice3(k3_yellow_1(A)) & v1_yellow_0(k3_yellow_1(A)) & v2_yellow_0(k3_yellow_1(A)) & v3_yellow_0(k3_yellow_1(A)) & v24_waybel_0(k3_yellow_1(A)) & v25_waybel_0(k3_yellow_1(A)) & v2_waybel_1(k3_yellow_1(A)) & v9_waybel_1(k3_yellow_1(A)) & v10_waybel_1(k3_yellow_1(A))) & v11_waybel_1(k3_yellow_1(A))))), rewrite((((~v3_struct_0(k3_yellow_1(A))) & v1_orders_2(k3_yellow_1(A)) & v2_orders_2(k3_yellow_1(A)) & v3_orders_2(k3_yellow_1(A)) & v4_orders_2(k3_yellow_1(A)) & v1_lattice3(k3_yellow_1(A)) & v2_lattice3(k3_yellow_1(A)) & v3_lattice3(k3_yellow_1(A)) & v1_yellow_0(k3_yellow_1(A)) & v2_yellow_0(k3_yellow_1(A)) & v3_yellow_0(k3_yellow_1(A)) & v24_waybel_0(k3_yellow_1(A)) & v25_waybel_0(k3_yellow_1(A)) & v2_waybel_1(k3_yellow_1(A)) & v9_waybel_1(k3_yellow_1(A)) & v10_waybel_1(k3_yellow_1(A))) & v11_waybel_1(k3_yellow_1(A))) <=> ((~v3_struct_0(k3_yellow_1(A))) & v1_orders_2(k3_yellow_1(A)) & v2_orders_2(k3_yellow_1(A)) & v3_orders_2(k3_yellow_1(A)) & v4_orders_2(k3_yellow_1(A)) & v1_lattice3(k3_yellow_1(A)) & v2_lattice3(k3_yellow_1(A)) & v3_lattice3(k3_yellow_1(A)) & v1_yellow_0(k3_yellow_1(A)) & v2_yellow_0(k3_yellow_1(A)) & v3_yellow_0(k3_yellow_1(A)) & v24_waybel_0(k3_yellow_1(A)) & v25_waybel_0(k3_yellow_1(A)) & v2_waybel_1(k3_yellow_1(A)) & v9_waybel_1(k3_yellow_1(A)) & v10_waybel_1(k3_yellow_1(A)) & v11_waybel_1(k3_yellow_1(A)))), ((((((((((((((((((~v3_struct_0(k3_yellow_1(A))) & v1_orders_2(k3_yellow_1(A))) & v2_orders_2(k3_yellow_1(A))) & v3_orders_2(k3_yellow_1(A))) & v4_orders_2(k3_yellow_1(A))) & v1_lattice3(k3_yellow_1(A))) & v2_lattice3(k3_yellow_1(A))) & v3_lattice3(k3_yellow_1(A))) & v1_yellow_0(k3_yellow_1(A))) & v2_yellow_0(k3_yellow_1(A))) & v3_yellow_0(k3_yellow_1(A))) & v24_waybel_0(k3_yellow_1(A))) & v25_waybel_0(k3_yellow_1(A))) & v2_waybel_1(k3_yellow_1(A))) & v9_waybel_1(k3_yellow_1(A))) & v10_waybel_1(k3_yellow_1(A))) & v11_waybel_1(k3_yellow_1(A))) <=> ((~v3_struct_0(k3_yellow_1(A))) & v1_orders_2(k3_yellow_1(A)) & v2_orders_2(k3_yellow_1(A)) & v3_orders_2(k3_yellow_1(A)) & v4_orders_2(k3_yellow_1(A)) & v1_lattice3(k3_yellow_1(A)) & v2_lattice3(k3_yellow_1(A)) & v3_lattice3(k3_yellow_1(A)) & v1_yellow_0(k3_yellow_1(A)) & v2_yellow_0(k3_yellow_1(A)) & v3_yellow_0(k3_yellow_1(A)) & v24_waybel_0(k3_yellow_1(A)) & v25_waybel_0(k3_yellow_1(A)) & v2_waybel_1(k3_yellow_1(A)) & v9_waybel_1(k3_yellow_1(A)) & v10_waybel_1(k3_yellow_1(A)) & v11_waybel_1(k3_yellow_1(A))))), (((((((((((((((((((~v3_struct_0(k3_yellow_1(A))) & v1_orders_2(k3_yellow_1(A))) & v2_orders_2(k3_yellow_1(A))) & v3_orders_2(k3_yellow_1(A))) & v4_orders_2(k3_yellow_1(A))) & v1_lattice3(k3_yellow_1(A))) & v2_lattice3(k3_yellow_1(A))) & v3_lattice3(k3_yellow_1(A))) & v1_yellow_0(k3_yellow_1(A))) & v2_yellow_0(k3_yellow_1(A))) & v3_yellow_0(k3_yellow_1(A))) & v24_waybel_0(k3_yellow_1(A))) & v25_waybel_0(k3_yellow_1(A))) & v2_waybel_1(k3_yellow_1(A))) & v9_waybel_1(k3_yellow_1(A))) & v10_waybel_1(k3_yellow_1(A))) & v11_waybel_1(k3_yellow_1(A))) & v2_waybel_3(k3_yellow_1(A))) <=> (((~v3_struct_0(k3_yellow_1(A))) & v1_orders_2(k3_yellow_1(A)) & v2_orders_2(k3_yellow_1(A)) & v3_orders_2(k3_yellow_1(A)) & v4_orders_2(k3_yellow_1(A)) & v1_lattice3(k3_yellow_1(A)) & v2_lattice3(k3_yellow_1(A)) & v3_lattice3(k3_yellow_1(A)) & v1_yellow_0(k3_yellow_1(A)) & v2_yellow_0(k3_yellow_1(A)) & v3_yellow_0(k3_yellow_1(A)) & v24_waybel_0(k3_yellow_1(A)) & v25_waybel_0(k3_yellow_1(A)) & v2_waybel_1(k3_yellow_1(A)) & v9_waybel_1(k3_yellow_1(A)) & v10_waybel_1(k3_yellow_1(A)) & v11_waybel_1(k3_yellow_1(A))) & v2_waybel_3(k3_yellow_1(A))))), rewrite((((~v3_struct_0(k3_yellow_1(A))) & v1_orders_2(k3_yellow_1(A)) & v2_orders_2(k3_yellow_1(A)) & v3_orders_2(k3_yellow_1(A)) & v4_orders_2(k3_yellow_1(A)) & v1_lattice3(k3_yellow_1(A)) & v2_lattice3(k3_yellow_1(A)) & v3_lattice3(k3_yellow_1(A)) & v1_yellow_0(k3_yellow_1(A)) & v2_yellow_0(k3_yellow_1(A)) & v3_yellow_0(k3_yellow_1(A)) & v24_waybel_0(k3_yellow_1(A)) & v25_waybel_0(k3_yellow_1(A)) & v2_waybel_1(k3_yellow_1(A)) & v9_waybel_1(k3_yellow_1(A)) & v10_waybel_1(k3_yellow_1(A)) & v11_waybel_1(k3_yellow_1(A))) & v2_waybel_3(k3_yellow_1(A))) <=> ((~v3_struct_0(k3_yellow_1(A))) & v1_orders_2(k3_yellow_1(A)) & v2_orders_2(k3_yellow_1(A)) & v3_orders_2(k3_yellow_1(A)) & v4_orders_2(k3_yellow_1(A)) & v1_lattice3(k3_yellow_1(A)) & v2_lattice3(k3_yellow_1(A)) & v3_lattice3(k3_yellow_1(A)) & v1_yellow_0(k3_yellow_1(A)) & v2_yellow_0(k3_yellow_1(A)) & v3_yellow_0(k3_yellow_1(A)) & v24_waybel_0(k3_yellow_1(A)) & v25_waybel_0(k3_yellow_1(A)) & v2_waybel_1(k3_yellow_1(A)) & v9_waybel_1(k3_yellow_1(A)) & v10_waybel_1(k3_yellow_1(A)) & v11_waybel_1(k3_yellow_1(A)) & v2_waybel_3(k3_yellow_1(A)))), (((((((((((((((((((~v3_struct_0(k3_yellow_1(A))) & v1_orders_2(k3_yellow_1(A))) & v2_orders_2(k3_yellow_1(A))) & v3_orders_2(k3_yellow_1(A))) & v4_orders_2(k3_yellow_1(A))) & v1_lattice3(k3_yellow_1(A))) & v2_lattice3(k3_yellow_1(A))) & v3_lattice3(k3_yellow_1(A))) & v1_yellow_0(k3_yellow_1(A))) & v2_yellow_0(k3_yellow_1(A))) & v3_yellow_0(k3_yellow_1(A))) & v24_waybel_0(k3_yellow_1(A))) & v25_waybel_0(k3_yellow_1(A))) & v2_waybel_1(k3_yellow_1(A))) & v9_waybel_1(k3_yellow_1(A))) & v10_waybel_1(k3_yellow_1(A))) & v11_waybel_1(k3_yellow_1(A))) & v2_waybel_3(k3_yellow_1(A))) <=> ((~v3_struct_0(k3_yellow_1(A))) & v1_orders_2(k3_yellow_1(A)) & v2_orders_2(k3_yellow_1(A)) & v3_orders_2(k3_yellow_1(A)) & v4_orders_2(k3_yellow_1(A)) & v1_lattice3(k3_yellow_1(A)) & v2_lattice3(k3_yellow_1(A)) & v3_lattice3(k3_yellow_1(A)) & v1_yellow_0(k3_yellow_1(A)) & v2_yellow_0(k3_yellow_1(A)) & v3_yellow_0(k3_yellow_1(A)) & v24_waybel_0(k3_yellow_1(A)) & v25_waybel_0(k3_yellow_1(A)) & v2_waybel_1(k3_yellow_1(A)) & v9_waybel_1(k3_yellow_1(A)) & v10_waybel_1(k3_yellow_1(A)) & v11_waybel_1(k3_yellow_1(A)) & v2_waybel_3(k3_yellow_1(A))))), ((((((((((((((((((((~v3_struct_0(k3_yellow_1(A))) & v1_orders_2(k3_yellow_1(A))) & v2_orders_2(k3_yellow_1(A))) & v3_orders_2(k3_yellow_1(A))) & v4_orders_2(k3_yellow_1(A))) & v1_lattice3(k3_yellow_1(A))) & v2_lattice3(k3_yellow_1(A))) & v3_lattice3(k3_yellow_1(A))) & v1_yellow_0(k3_yellow_1(A))) & v2_yellow_0(k3_yellow_1(A))) & v3_yellow_0(k3_yellow_1(A))) & v24_waybel_0(k3_yellow_1(A))) & v25_waybel_0(k3_yellow_1(A))) & v2_waybel_1(k3_yellow_1(A))) & v9_waybel_1(k3_yellow_1(A))) & v10_waybel_1(k3_yellow_1(A))) & v11_waybel_1(k3_yellow_1(A))) & v2_waybel_3(k3_yellow_1(A))) & v3_waybel_3(k3_yellow_1(A))) <=> (((~v3_struct_0(k3_yellow_1(A))) & v1_orders_2(k3_yellow_1(A)) & v2_orders_2(k3_yellow_1(A)) & v3_orders_2(k3_yellow_1(A)) & v4_orders_2(k3_yellow_1(A)) & v1_lattice3(k3_yellow_1(A)) & v2_lattice3(k3_yellow_1(A)) & v3_lattice3(k3_yellow_1(A)) & v1_yellow_0(k3_yellow_1(A)) & v2_yellow_0(k3_yellow_1(A)) & v3_yellow_0(k3_yellow_1(A)) & v24_waybel_0(k3_yellow_1(A)) & v25_waybel_0(k3_yellow_1(A)) & v2_waybel_1(k3_yellow_1(A)) & v9_waybel_1(k3_yellow_1(A)) & v10_waybel_1(k3_yellow_1(A)) & v11_waybel_1(k3_yellow_1(A)) & v2_waybel_3(k3_yellow_1(A))) & v3_waybel_3(k3_yellow_1(A))))), rewrite((((~v3_struct_0(k3_yellow_1(A))) & v1_orders_2(k3_yellow_1(A)) & v2_orders_2(k3_yellow_1(A)) & v3_orders_2(k3_yellow_1(A)) & v4_orders_2(k3_yellow_1(A)) & v1_lattice3(k3_yellow_1(A)) & v2_lattice3(k3_yellow_1(A)) & v3_lattice3(k3_yellow_1(A)) & v1_yellow_0(k3_yellow_1(A)) & v2_yellow_0(k3_yellow_1(A)) & v3_yellow_0(k3_yellow_1(A)) & v24_waybel_0(k3_yellow_1(A)) & v25_waybel_0(k3_yellow_1(A)) & v2_waybel_1(k3_yellow_1(A)) & v9_waybel_1(k3_yellow_1(A)) & v10_waybel_1(k3_yellow_1(A)) & v11_waybel_1(k3_yellow_1(A)) & v2_waybel_3(k3_yellow_1(A))) & v3_waybel_3(k3_yellow_1(A))) <=> ((~v3_struct_0(k3_yellow_1(A))) & v1_orders_2(k3_yellow_1(A)) & v2_orders_2(k3_yellow_1(A)) & v3_orders_2(k3_yellow_1(A)) & v4_orders_2(k3_yellow_1(A)) & v1_lattice3(k3_yellow_1(A)) & v2_lattice3(k3_yellow_1(A)) & v3_lattice3(k3_yellow_1(A)) & v1_yellow_0(k3_yellow_1(A)) & v2_yellow_0(k3_yellow_1(A)) & v3_yellow_0(k3_yellow_1(A)) & v24_waybel_0(k3_yellow_1(A)) & v25_waybel_0(k3_yellow_1(A)) & v2_waybel_1(k3_yellow_1(A)) & v9_waybel_1(k3_yellow_1(A)) & v10_waybel_1(k3_yellow_1(A)) & v11_waybel_1(k3_yellow_1(A)) & v2_waybel_3(k3_yellow_1(A)) & v3_waybel_3(k3_yellow_1(A)))), ((((((((((((((((((((~v3_struct_0(k3_yellow_1(A))) & v1_orders_2(k3_yellow_1(A))) & v2_orders_2(k3_yellow_1(A))) & v3_orders_2(k3_yellow_1(A))) & v4_orders_2(k3_yellow_1(A))) & v1_lattice3(k3_yellow_1(A))) & v2_lattice3(k3_yellow_1(A))) & v3_lattice3(k3_yellow_1(A))) & v1_yellow_0(k3_yellow_1(A))) & v2_yellow_0(k3_yellow_1(A))) & v3_yellow_0(k3_yellow_1(A))) & v24_waybel_0(k3_yellow_1(A))) & v25_waybel_0(k3_yellow_1(A))) & v2_waybel_1(k3_yellow_1(A))) & v9_waybel_1(k3_yellow_1(A))) & v10_waybel_1(k3_yellow_1(A))) & v11_waybel_1(k3_yellow_1(A))) & v2_waybel_3(k3_yellow_1(A))) & v3_waybel_3(k3_yellow_1(A))) <=> ((~v3_struct_0(k3_yellow_1(A))) & v1_orders_2(k3_yellow_1(A)) & v2_orders_2(k3_yellow_1(A)) & v3_orders_2(k3_yellow_1(A)) & v4_orders_2(k3_yellow_1(A)) & v1_lattice3(k3_yellow_1(A)) & v2_lattice3(k3_yellow_1(A)) & v3_lattice3(k3_yellow_1(A)) & v1_yellow_0(k3_yellow_1(A)) & v2_yellow_0(k3_yellow_1(A)) & v3_yellow_0(k3_yellow_1(A)) & v24_waybel_0(k3_yellow_1(A)) & v25_waybel_0(k3_yellow_1(A)) & v2_waybel_1(k3_yellow_1(A)) & v9_waybel_1(k3_yellow_1(A)) & v10_waybel_1(k3_yellow_1(A)) & v11_waybel_1(k3_yellow_1(A)) & v2_waybel_3(k3_yellow_1(A)) & v3_waybel_3(k3_yellow_1(A))))), (((((((((((((((((((((~v3_struct_0(k3_yellow_1(A))) & v1_orders_2(k3_yellow_1(A))) & v2_orders_2(k3_yellow_1(A))) & v3_orders_2(k3_yellow_1(A))) & v4_orders_2(k3_yellow_1(A))) & v1_lattice3(k3_yellow_1(A))) & v2_lattice3(k3_yellow_1(A))) & v3_lattice3(k3_yellow_1(A))) & v1_yellow_0(k3_yellow_1(A))) & v2_yellow_0(k3_yellow_1(A))) & v3_yellow_0(k3_yellow_1(A))) & v24_waybel_0(k3_yellow_1(A))) & v25_waybel_0(k3_yellow_1(A))) & v2_waybel_1(k3_yellow_1(A))) & v9_waybel_1(k3_yellow_1(A))) & v10_waybel_1(k3_yellow_1(A))) & v11_waybel_1(k3_yellow_1(A))) & v2_waybel_3(k3_yellow_1(A))) & v3_waybel_3(k3_yellow_1(A))) & v1_waybel_8(k3_yellow_1(A))) <=> (((~v3_struct_0(k3_yellow_1(A))) & v1_orders_2(k3_yellow_1(A)) & v2_orders_2(k3_yellow_1(A)) & v3_orders_2(k3_yellow_1(A)) & v4_orders_2(k3_yellow_1(A)) & v1_lattice3(k3_yellow_1(A)) & v2_lattice3(k3_yellow_1(A)) & v3_lattice3(k3_yellow_1(A)) & v1_yellow_0(k3_yellow_1(A)) & v2_yellow_0(k3_yellow_1(A)) & v3_yellow_0(k3_yellow_1(A)) & v24_waybel_0(k3_yellow_1(A)) & v25_waybel_0(k3_yellow_1(A)) & v2_waybel_1(k3_yellow_1(A)) & v9_waybel_1(k3_yellow_1(A)) & v10_waybel_1(k3_yellow_1(A)) & v11_waybel_1(k3_yellow_1(A)) & v2_waybel_3(k3_yellow_1(A)) & v3_waybel_3(k3_yellow_1(A))) & v1_waybel_8(k3_yellow_1(A))))), rewrite((((~v3_struct_0(k3_yellow_1(A))) & v1_orders_2(k3_yellow_1(A)) & v2_orders_2(k3_yellow_1(A)) & v3_orders_2(k3_yellow_1(A)) & v4_orders_2(k3_yellow_1(A)) & v1_lattice3(k3_yellow_1(A)) & v2_lattice3(k3_yellow_1(A)) & v3_lattice3(k3_yellow_1(A)) & v1_yellow_0(k3_yellow_1(A)) & v2_yellow_0(k3_yellow_1(A)) & v3_yellow_0(k3_yellow_1(A)) & v24_waybel_0(k3_yellow_1(A)) & v25_waybel_0(k3_yellow_1(A)) & v2_waybel_1(k3_yellow_1(A)) & v9_waybel_1(k3_yellow_1(A)) & v10_waybel_1(k3_yellow_1(A)) & v11_waybel_1(k3_yellow_1(A)) & v2_waybel_3(k3_yellow_1(A)) & v3_waybel_3(k3_yellow_1(A))) & v1_waybel_8(k3_yellow_1(A))) <=> ((~v3_struct_0(k3_yellow_1(A))) & v1_orders_2(k3_yellow_1(A)) & v2_orders_2(k3_yellow_1(A)) & v3_orders_2(k3_yellow_1(A)) & v4_orders_2(k3_yellow_1(A)) & v1_lattice3(k3_yellow_1(A)) & v2_lattice3(k3_yellow_1(A)) & v3_lattice3(k3_yellow_1(A)) & v1_yellow_0(k3_yellow_1(A)) & v2_yellow_0(k3_yellow_1(A)) & v3_yellow_0(k3_yellow_1(A)) & v24_waybel_0(k3_yellow_1(A)) & v25_waybel_0(k3_yellow_1(A)) & v2_waybel_1(k3_yellow_1(A)) & v9_waybel_1(k3_yellow_1(A)) & v10_waybel_1(k3_yellow_1(A)) & v11_waybel_1(k3_yellow_1(A)) & v2_waybel_3(k3_yellow_1(A)) & v3_waybel_3(k3_yellow_1(A)) & v1_waybel_8(k3_yellow_1(A)))), (((((((((((((((((((((~v3_struct_0(k3_yellow_1(A))) & v1_orders_2(k3_yellow_1(A))) & v2_orders_2(k3_yellow_1(A))) & v3_orders_2(k3_yellow_1(A))) & v4_orders_2(k3_yellow_1(A))) & v1_lattice3(k3_yellow_1(A))) & v2_lattice3(k3_yellow_1(A))) & v3_lattice3(k3_yellow_1(A))) & v1_yellow_0(k3_yellow_1(A))) & v2_yellow_0(k3_yellow_1(A))) & v3_yellow_0(k3_yellow_1(A))) & v24_waybel_0(k3_yellow_1(A))) & v25_waybel_0(k3_yellow_1(A))) & v2_waybel_1(k3_yellow_1(A))) & v9_waybel_1(k3_yellow_1(A))) & v10_waybel_1(k3_yellow_1(A))) & v11_waybel_1(k3_yellow_1(A))) & v2_waybel_3(k3_yellow_1(A))) & v3_waybel_3(k3_yellow_1(A))) & v1_waybel_8(k3_yellow_1(A))) <=> ((~v3_struct_0(k3_yellow_1(A))) & v1_orders_2(k3_yellow_1(A)) & v2_orders_2(k3_yellow_1(A)) & v3_orders_2(k3_yellow_1(A)) & v4_orders_2(k3_yellow_1(A)) & v1_lattice3(k3_yellow_1(A)) & v2_lattice3(k3_yellow_1(A)) & v3_lattice3(k3_yellow_1(A)) & v1_yellow_0(k3_yellow_1(A)) & v2_yellow_0(k3_yellow_1(A)) & v3_yellow_0(k3_yellow_1(A)) & v24_waybel_0(k3_yellow_1(A)) & v25_waybel_0(k3_yellow_1(A)) & v2_waybel_1(k3_yellow_1(A)) & v9_waybel_1(k3_yellow_1(A)) & v10_waybel_1(k3_yellow_1(A)) & v11_waybel_1(k3_yellow_1(A)) & v2_waybel_3(k3_yellow_1(A)) & v3_waybel_3(k3_yellow_1(A)) & v1_waybel_8(k3_yellow_1(A))))), ((((((((((((((((((((((~v3_struct_0(k3_yellow_1(A))) & v1_orders_2(k3_yellow_1(A))) & v2_orders_2(k3_yellow_1(A))) & v3_orders_2(k3_yellow_1(A))) & v4_orders_2(k3_yellow_1(A))) & v1_lattice3(k3_yellow_1(A))) & v2_lattice3(k3_yellow_1(A))) & v3_lattice3(k3_yellow_1(A))) & v1_yellow_0(k3_yellow_1(A))) & v2_yellow_0(k3_yellow_1(A))) & v3_yellow_0(k3_yellow_1(A))) & v24_waybel_0(k3_yellow_1(A))) & v25_waybel_0(k3_yellow_1(A))) & v2_waybel_1(k3_yellow_1(A))) & v9_waybel_1(k3_yellow_1(A))) & v10_waybel_1(k3_yellow_1(A))) & v11_waybel_1(k3_yellow_1(A))) & v2_waybel_3(k3_yellow_1(A))) & v3_waybel_3(k3_yellow_1(A))) & v1_waybel_8(k3_yellow_1(A))) & v2_waybel_8(k3_yellow_1(A))) <=> (((~v3_struct_0(k3_yellow_1(A))) & v1_orders_2(k3_yellow_1(A)) & v2_orders_2(k3_yellow_1(A)) & v3_orders_2(k3_yellow_1(A)) & v4_orders_2(k3_yellow_1(A)) & v1_lattice3(k3_yellow_1(A)) & v2_lattice3(k3_yellow_1(A)) & v3_lattice3(k3_yellow_1(A)) & v1_yellow_0(k3_yellow_1(A)) & v2_yellow_0(k3_yellow_1(A)) & v3_yellow_0(k3_yellow_1(A)) & v24_waybel_0(k3_yellow_1(A)) & v25_waybel_0(k3_yellow_1(A)) & v2_waybel_1(k3_yellow_1(A)) & v9_waybel_1(k3_yellow_1(A)) & v10_waybel_1(k3_yellow_1(A)) & v11_waybel_1(k3_yellow_1(A)) & v2_waybel_3(k3_yellow_1(A)) & v3_waybel_3(k3_yellow_1(A)) & v1_waybel_8(k3_yellow_1(A))) & v2_waybel_8(k3_yellow_1(A))))), rewrite((((~v3_struct_0(k3_yellow_1(A))) & v1_orders_2(k3_yellow_1(A)) & v2_orders_2(k3_yellow_1(A)) & v3_orders_2(k3_yellow_1(A)) & v4_orders_2(k3_yellow_1(A)) & v1_lattice3(k3_yellow_1(A)) & v2_lattice3(k3_yellow_1(A)) & v3_lattice3(k3_yellow_1(A)) & v1_yellow_0(k3_yellow_1(A)) & v2_yellow_0(k3_yellow_1(A)) & v3_yellow_0(k3_yellow_1(A)) & v24_waybel_0(k3_yellow_1(A)) & v25_waybel_0(k3_yellow_1(A)) & v2_waybel_1(k3_yellow_1(A)) & v9_waybel_1(k3_yellow_1(A)) & v10_waybel_1(k3_yellow_1(A)) & v11_waybel_1(k3_yellow_1(A)) & v2_waybel_3(k3_yellow_1(A)) & v3_waybel_3(k3_yellow_1(A)) & v1_waybel_8(k3_yellow_1(A))) & v2_waybel_8(k3_yellow_1(A))) <=> ((~v3_struct_0(k3_yellow_1(A))) & v1_orders_2(k3_yellow_1(A)) & v2_orders_2(k3_yellow_1(A)) & v3_orders_2(k3_yellow_1(A)) & v4_orders_2(k3_yellow_1(A)) & v1_lattice3(k3_yellow_1(A)) & v2_lattice3(k3_yellow_1(A)) & v3_lattice3(k3_yellow_1(A)) & v1_yellow_0(k3_yellow_1(A)) & v2_yellow_0(k3_yellow_1(A)) & v3_yellow_0(k3_yellow_1(A)) & v24_waybel_0(k3_yellow_1(A)) & v25_waybel_0(k3_yellow_1(A)) & v2_waybel_1(k3_yellow_1(A)) & v9_waybel_1(k3_yellow_1(A)) & v10_waybel_1(k3_yellow_1(A)) & v11_waybel_1(k3_yellow_1(A)) & v2_waybel_3(k3_yellow_1(A)) & v3_waybel_3(k3_yellow_1(A)) & v1_waybel_8(k3_yellow_1(A)) & v2_waybel_8(k3_yellow_1(A)))), ((((((((((((((((((((((~v3_struct_0(k3_yellow_1(A))) & v1_orders_2(k3_yellow_1(A))) & v2_orders_2(k3_yellow_1(A))) & v3_orders_2(k3_yellow_1(A))) & v4_orders_2(k3_yellow_1(A))) & v1_lattice3(k3_yellow_1(A))) & v2_lattice3(k3_yellow_1(A))) & v3_lattice3(k3_yellow_1(A))) & v1_yellow_0(k3_yellow_1(A))) & v2_yellow_0(k3_yellow_1(A))) & v3_yellow_0(k3_yellow_1(A))) & v24_waybel_0(k3_yellow_1(A))) & v25_waybel_0(k3_yellow_1(A))) & v2_waybel_1(k3_yellow_1(A))) & v9_waybel_1(k3_yellow_1(A))) & v10_waybel_1(k3_yellow_1(A))) & v11_waybel_1(k3_yellow_1(A))) & v2_waybel_3(k3_yellow_1(A))) & v3_waybel_3(k3_yellow_1(A))) & v1_waybel_8(k3_yellow_1(A))) & v2_waybel_8(k3_yellow_1(A))) <=> ((~v3_struct_0(k3_yellow_1(A))) & v1_orders_2(k3_yellow_1(A)) & v2_orders_2(k3_yellow_1(A)) & v3_orders_2(k3_yellow_1(A)) & v4_orders_2(k3_yellow_1(A)) & v1_lattice3(k3_yellow_1(A)) & v2_lattice3(k3_yellow_1(A)) & v3_lattice3(k3_yellow_1(A)) & v1_yellow_0(k3_yellow_1(A)) & v2_yellow_0(k3_yellow_1(A)) & v3_yellow_0(k3_yellow_1(A)) & v24_waybel_0(k3_yellow_1(A)) & v25_waybel_0(k3_yellow_1(A)) & v2_waybel_1(k3_yellow_1(A)) & v9_waybel_1(k3_yellow_1(A)) & v10_waybel_1(k3_yellow_1(A)) & v11_waybel_1(k3_yellow_1(A)) & v2_waybel_3(k3_yellow_1(A)) & v3_waybel_3(k3_yellow_1(A)) & v1_waybel_8(k3_yellow_1(A)) & v2_waybel_8(k3_yellow_1(A)))))),
% 0.59/0.75 inference(bind,[status(th)],[])).
% 0.59/0.75 tff(68,plain,
% 0.59/0.75 (![A: $i] : (((((((((((((((((((((~v3_struct_0(k3_yellow_1(A))) & v1_orders_2(k3_yellow_1(A))) & v2_orders_2(k3_yellow_1(A))) & v3_orders_2(k3_yellow_1(A))) & v4_orders_2(k3_yellow_1(A))) & v1_lattice3(k3_yellow_1(A))) & v2_lattice3(k3_yellow_1(A))) & v3_lattice3(k3_yellow_1(A))) & v1_yellow_0(k3_yellow_1(A))) & v2_yellow_0(k3_yellow_1(A))) & v3_yellow_0(k3_yellow_1(A))) & v24_waybel_0(k3_yellow_1(A))) & v25_waybel_0(k3_yellow_1(A))) & v2_waybel_1(k3_yellow_1(A))) & v9_waybel_1(k3_yellow_1(A))) & v10_waybel_1(k3_yellow_1(A))) & v11_waybel_1(k3_yellow_1(A))) & v2_waybel_3(k3_yellow_1(A))) & v3_waybel_3(k3_yellow_1(A))) & v1_waybel_8(k3_yellow_1(A))) & v2_waybel_8(k3_yellow_1(A))) <=> ![A: $i] : ((~v3_struct_0(k3_yellow_1(A))) & v1_orders_2(k3_yellow_1(A)) & v2_orders_2(k3_yellow_1(A)) & v3_orders_2(k3_yellow_1(A)) & v4_orders_2(k3_yellow_1(A)) & v1_lattice3(k3_yellow_1(A)) & v2_lattice3(k3_yellow_1(A)) & v3_lattice3(k3_yellow_1(A)) & v1_yellow_0(k3_yellow_1(A)) & v2_yellow_0(k3_yellow_1(A)) & v3_yellow_0(k3_yellow_1(A)) & v24_waybel_0(k3_yellow_1(A)) & v25_waybel_0(k3_yellow_1(A)) & v2_waybel_1(k3_yellow_1(A)) & v9_waybel_1(k3_yellow_1(A)) & v10_waybel_1(k3_yellow_1(A)) & v11_waybel_1(k3_yellow_1(A)) & v2_waybel_3(k3_yellow_1(A)) & v3_waybel_3(k3_yellow_1(A)) & v1_waybel_8(k3_yellow_1(A)) & v2_waybel_8(k3_yellow_1(A)))),
% 0.59/0.75 inference(quant_intro,[status(thm)],[67])).
% 0.59/0.75 tff(69,axiom,(![A: $i] : (((((((((((((((((((((~v3_struct_0(k3_yellow_1(A))) & v1_orders_2(k3_yellow_1(A))) & v2_orders_2(k3_yellow_1(A))) & v3_orders_2(k3_yellow_1(A))) & v4_orders_2(k3_yellow_1(A))) & v1_lattice3(k3_yellow_1(A))) & v2_lattice3(k3_yellow_1(A))) & v3_lattice3(k3_yellow_1(A))) & v1_yellow_0(k3_yellow_1(A))) & v2_yellow_0(k3_yellow_1(A))) & v3_yellow_0(k3_yellow_1(A))) & v24_waybel_0(k3_yellow_1(A))) & v25_waybel_0(k3_yellow_1(A))) & v2_waybel_1(k3_yellow_1(A))) & v9_waybel_1(k3_yellow_1(A))) & v10_waybel_1(k3_yellow_1(A))) & v11_waybel_1(k3_yellow_1(A))) & v2_waybel_3(k3_yellow_1(A))) & v3_waybel_3(k3_yellow_1(A))) & v1_waybel_8(k3_yellow_1(A))) & v2_waybel_8(k3_yellow_1(A)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','fc14_waybel_8')).
% 0.59/0.75 tff(70,plain,
% 0.59/0.75 (![A: $i] : ((~v3_struct_0(k3_yellow_1(A))) & v1_orders_2(k3_yellow_1(A)) & v2_orders_2(k3_yellow_1(A)) & v3_orders_2(k3_yellow_1(A)) & v4_orders_2(k3_yellow_1(A)) & v1_lattice3(k3_yellow_1(A)) & v2_lattice3(k3_yellow_1(A)) & v3_lattice3(k3_yellow_1(A)) & v1_yellow_0(k3_yellow_1(A)) & v2_yellow_0(k3_yellow_1(A)) & v3_yellow_0(k3_yellow_1(A)) & v24_waybel_0(k3_yellow_1(A)) & v25_waybel_0(k3_yellow_1(A)) & v2_waybel_1(k3_yellow_1(A)) & v9_waybel_1(k3_yellow_1(A)) & v10_waybel_1(k3_yellow_1(A)) & v11_waybel_1(k3_yellow_1(A)) & v2_waybel_3(k3_yellow_1(A)) & v3_waybel_3(k3_yellow_1(A)) & v1_waybel_8(k3_yellow_1(A)) & v2_waybel_8(k3_yellow_1(A)))),
% 0.59/0.75 inference(modus_ponens,[status(thm)],[69, 68])).
% 0.59/0.75 tff(71,plain,
% 0.59/0.75 (![A: $i] : ((~v3_struct_0(k3_yellow_1(A))) & v1_orders_2(k3_yellow_1(A)) & v2_orders_2(k3_yellow_1(A)) & v3_orders_2(k3_yellow_1(A)) & v4_orders_2(k3_yellow_1(A)) & v1_lattice3(k3_yellow_1(A)) & v2_lattice3(k3_yellow_1(A)) & v3_lattice3(k3_yellow_1(A)) & v1_yellow_0(k3_yellow_1(A)) & v2_yellow_0(k3_yellow_1(A)) & v3_yellow_0(k3_yellow_1(A)) & v24_waybel_0(k3_yellow_1(A)) & v25_waybel_0(k3_yellow_1(A)) & v2_waybel_1(k3_yellow_1(A)) & v9_waybel_1(k3_yellow_1(A)) & v10_waybel_1(k3_yellow_1(A)) & v11_waybel_1(k3_yellow_1(A)) & v2_waybel_3(k3_yellow_1(A)) & v3_waybel_3(k3_yellow_1(A)) & v1_waybel_8(k3_yellow_1(A)) & v2_waybel_8(k3_yellow_1(A)))),
% 0.59/0.75 inference(modus_ponens,[status(thm)],[70, 66])).
% 0.59/0.75 tff(72,plain,(
% 0.59/0.75 ![A: $i] : ((~v3_struct_0(k3_yellow_1(A))) & v1_orders_2(k3_yellow_1(A)) & v2_orders_2(k3_yellow_1(A)) & v3_orders_2(k3_yellow_1(A)) & v4_orders_2(k3_yellow_1(A)) & v1_lattice3(k3_yellow_1(A)) & v2_lattice3(k3_yellow_1(A)) & v3_lattice3(k3_yellow_1(A)) & v1_yellow_0(k3_yellow_1(A)) & v2_yellow_0(k3_yellow_1(A)) & v3_yellow_0(k3_yellow_1(A)) & v24_waybel_0(k3_yellow_1(A)) & v25_waybel_0(k3_yellow_1(A)) & v2_waybel_1(k3_yellow_1(A)) & v9_waybel_1(k3_yellow_1(A)) & v10_waybel_1(k3_yellow_1(A)) & v11_waybel_1(k3_yellow_1(A)) & v2_waybel_3(k3_yellow_1(A)) & v3_waybel_3(k3_yellow_1(A)) & v1_waybel_8(k3_yellow_1(A)) & v2_waybel_8(k3_yellow_1(A)))),
% 0.59/0.75 inference(skolemize,[status(sab)],[71])).
% 0.59/0.75 tff(73,plain,
% 0.59/0.75 (![A: $i] : (~(v3_struct_0(k3_yellow_1(A)) | (~v1_orders_2(k3_yellow_1(A))) | (~v2_orders_2(k3_yellow_1(A))) | (~v3_orders_2(k3_yellow_1(A))) | (~v4_orders_2(k3_yellow_1(A))) | (~v1_lattice3(k3_yellow_1(A))) | (~v2_lattice3(k3_yellow_1(A))) | (~v3_lattice3(k3_yellow_1(A))) | (~v1_yellow_0(k3_yellow_1(A))) | (~v2_yellow_0(k3_yellow_1(A))) | (~v3_yellow_0(k3_yellow_1(A))) | (~v24_waybel_0(k3_yellow_1(A))) | (~v25_waybel_0(k3_yellow_1(A))) | (~v2_waybel_1(k3_yellow_1(A))) | (~v9_waybel_1(k3_yellow_1(A))) | (~v10_waybel_1(k3_yellow_1(A))) | (~v11_waybel_1(k3_yellow_1(A))) | (~v2_waybel_3(k3_yellow_1(A))) | (~v3_waybel_3(k3_yellow_1(A))) | (~v1_waybel_8(k3_yellow_1(A))) | (~v2_waybel_8(k3_yellow_1(A)))))),
% 0.59/0.75 inference(modus_ponens,[status(thm)],[72, 65])).
% 0.59/0.75 tff(74,plain,
% 0.59/0.75 (![A: $i] : (~(v3_struct_0(k3_yellow_1(A)) | (~v1_orders_2(k3_yellow_1(A))) | (~v2_orders_2(k3_yellow_1(A))) | (~v3_orders_2(k3_yellow_1(A))) | (~v4_orders_2(k3_yellow_1(A))) | (~v1_lattice3(k3_yellow_1(A))) | (~v2_lattice3(k3_yellow_1(A))) | (~v3_lattice3(k3_yellow_1(A))) | (~v1_yellow_0(k3_yellow_1(A))) | (~v2_yellow_0(k3_yellow_1(A))) | (~v3_yellow_0(k3_yellow_1(A))) | (~v24_waybel_0(k3_yellow_1(A))) | (~v25_waybel_0(k3_yellow_1(A))) | (~v2_waybel_1(k3_yellow_1(A))) | (~v9_waybel_1(k3_yellow_1(A))) | (~v10_waybel_1(k3_yellow_1(A))) | (~v11_waybel_1(k3_yellow_1(A))) | (~v2_waybel_3(k3_yellow_1(A))) | (~v3_waybel_3(k3_yellow_1(A))) | (~v1_waybel_8(k3_yellow_1(A))) | (~v2_waybel_8(k3_yellow_1(A)))))),
% 0.59/0.75 inference(modus_ponens,[status(thm)],[73, 63])).
% 0.59/0.75 tff(75,plain,
% 0.59/0.75 (((~![A: $i] : (~(v3_struct_0(k3_yellow_1(A)) | (~v1_orders_2(k3_yellow_1(A))) | (~v2_orders_2(k3_yellow_1(A))) | (~v3_orders_2(k3_yellow_1(A))) | (~v4_orders_2(k3_yellow_1(A))) | (~v1_lattice3(k3_yellow_1(A))) | (~v2_lattice3(k3_yellow_1(A))) | (~v3_lattice3(k3_yellow_1(A))) | (~v1_yellow_0(k3_yellow_1(A))) | (~v2_yellow_0(k3_yellow_1(A))) | (~v3_yellow_0(k3_yellow_1(A))) | (~v24_waybel_0(k3_yellow_1(A))) | (~v25_waybel_0(k3_yellow_1(A))) | (~v2_waybel_1(k3_yellow_1(A))) | (~v9_waybel_1(k3_yellow_1(A))) | (~v10_waybel_1(k3_yellow_1(A))) | (~v11_waybel_1(k3_yellow_1(A))) | (~v2_waybel_3(k3_yellow_1(A))) | (~v3_waybel_3(k3_yellow_1(A))) | (~v1_waybel_8(k3_yellow_1(A))) | (~v2_waybel_8(k3_yellow_1(A)))))) | (~((~v2_lattice3(k3_yellow_1(A!1))) | (~v2_orders_2(k3_yellow_1(A!1))) | (~v3_orders_2(k3_yellow_1(A!1))) | (~v4_orders_2(k3_yellow_1(A!1))) | (~v2_yellow_0(k3_yellow_1(A!1))) | v3_struct_0(k3_yellow_1(A!1)) | (~v1_orders_2(k3_yellow_1(A!1))) | (~v1_lattice3(k3_yellow_1(A!1))) | (~v3_lattice3(k3_yellow_1(A!1))) | (~v1_yellow_0(k3_yellow_1(A!1))) | (~v3_yellow_0(k3_yellow_1(A!1))) | (~v24_waybel_0(k3_yellow_1(A!1))) | (~v25_waybel_0(k3_yellow_1(A!1))) | (~v2_waybel_1(k3_yellow_1(A!1))) | (~v9_waybel_1(k3_yellow_1(A!1))) | (~v10_waybel_1(k3_yellow_1(A!1))) | (~v11_waybel_1(k3_yellow_1(A!1))) | (~v2_waybel_3(k3_yellow_1(A!1))) | (~v3_waybel_3(k3_yellow_1(A!1))) | (~v1_waybel_8(k3_yellow_1(A!1))) | (~v2_waybel_8(k3_yellow_1(A!1)))))) <=> ((~![A: $i] : (~(v3_struct_0(k3_yellow_1(A)) | (~v1_orders_2(k3_yellow_1(A))) | (~v2_orders_2(k3_yellow_1(A))) | (~v3_orders_2(k3_yellow_1(A))) | (~v4_orders_2(k3_yellow_1(A))) | (~v1_lattice3(k3_yellow_1(A))) | (~v2_lattice3(k3_yellow_1(A))) | (~v3_lattice3(k3_yellow_1(A))) | (~v1_yellow_0(k3_yellow_1(A))) | (~v2_yellow_0(k3_yellow_1(A))) | (~v3_yellow_0(k3_yellow_1(A))) | (~v24_waybel_0(k3_yellow_1(A))) | (~v25_waybel_0(k3_yellow_1(A))) | (~v2_waybel_1(k3_yellow_1(A))) | (~v9_waybel_1(k3_yellow_1(A))) | (~v10_waybel_1(k3_yellow_1(A))) | (~v11_waybel_1(k3_yellow_1(A))) | (~v2_waybel_3(k3_yellow_1(A))) | (~v3_waybel_3(k3_yellow_1(A))) | (~v1_waybel_8(k3_yellow_1(A))) | (~v2_waybel_8(k3_yellow_1(A)))))) | (~((~v2_lattice3(k3_yellow_1(A!1))) | (~v2_orders_2(k3_yellow_1(A!1))) | (~v3_orders_2(k3_yellow_1(A!1))) | (~v4_orders_2(k3_yellow_1(A!1))) | (~v2_yellow_0(k3_yellow_1(A!1))) | v3_struct_0(k3_yellow_1(A!1)) | (~v1_orders_2(k3_yellow_1(A!1))) | (~v1_lattice3(k3_yellow_1(A!1))) | (~v3_lattice3(k3_yellow_1(A!1))) | (~v1_yellow_0(k3_yellow_1(A!1))) | (~v3_yellow_0(k3_yellow_1(A!1))) | (~v24_waybel_0(k3_yellow_1(A!1))) | (~v25_waybel_0(k3_yellow_1(A!1))) | (~v2_waybel_1(k3_yellow_1(A!1))) | (~v9_waybel_1(k3_yellow_1(A!1))) | (~v10_waybel_1(k3_yellow_1(A!1))) | (~v11_waybel_1(k3_yellow_1(A!1))) | (~v2_waybel_3(k3_yellow_1(A!1))) | (~v3_waybel_3(k3_yellow_1(A!1))) | (~v1_waybel_8(k3_yellow_1(A!1))) | (~v2_waybel_8(k3_yellow_1(A!1))))))),
% 0.59/0.75 inference(rewrite,[status(thm)],[])).
% 0.59/0.75 tff(76,plain,
% 0.59/0.75 ((~(v3_struct_0(k3_yellow_1(A!1)) | (~v1_orders_2(k3_yellow_1(A!1))) | (~v2_orders_2(k3_yellow_1(A!1))) | (~v3_orders_2(k3_yellow_1(A!1))) | (~v4_orders_2(k3_yellow_1(A!1))) | (~v1_lattice3(k3_yellow_1(A!1))) | (~v2_lattice3(k3_yellow_1(A!1))) | (~v3_lattice3(k3_yellow_1(A!1))) | (~v1_yellow_0(k3_yellow_1(A!1))) | (~v2_yellow_0(k3_yellow_1(A!1))) | (~v3_yellow_0(k3_yellow_1(A!1))) | (~v24_waybel_0(k3_yellow_1(A!1))) | (~v25_waybel_0(k3_yellow_1(A!1))) | (~v2_waybel_1(k3_yellow_1(A!1))) | (~v9_waybel_1(k3_yellow_1(A!1))) | (~v10_waybel_1(k3_yellow_1(A!1))) | (~v11_waybel_1(k3_yellow_1(A!1))) | (~v2_waybel_3(k3_yellow_1(A!1))) | (~v3_waybel_3(k3_yellow_1(A!1))) | (~v1_waybel_8(k3_yellow_1(A!1))) | (~v2_waybel_8(k3_yellow_1(A!1))))) <=> (~((~v2_lattice3(k3_yellow_1(A!1))) | (~v2_orders_2(k3_yellow_1(A!1))) | (~v3_orders_2(k3_yellow_1(A!1))) | (~v4_orders_2(k3_yellow_1(A!1))) | (~v2_yellow_0(k3_yellow_1(A!1))) | v3_struct_0(k3_yellow_1(A!1)) | (~v1_orders_2(k3_yellow_1(A!1))) | (~v1_lattice3(k3_yellow_1(A!1))) | (~v3_lattice3(k3_yellow_1(A!1))) | (~v1_yellow_0(k3_yellow_1(A!1))) | (~v3_yellow_0(k3_yellow_1(A!1))) | (~v24_waybel_0(k3_yellow_1(A!1))) | (~v25_waybel_0(k3_yellow_1(A!1))) | (~v2_waybel_1(k3_yellow_1(A!1))) | (~v9_waybel_1(k3_yellow_1(A!1))) | (~v10_waybel_1(k3_yellow_1(A!1))) | (~v11_waybel_1(k3_yellow_1(A!1))) | (~v2_waybel_3(k3_yellow_1(A!1))) | (~v3_waybel_3(k3_yellow_1(A!1))) | (~v1_waybel_8(k3_yellow_1(A!1))) | (~v2_waybel_8(k3_yellow_1(A!1)))))),
% 0.59/0.75 inference(rewrite,[status(thm)],[])).
% 0.59/0.75 tff(77,plain,
% 0.59/0.75 (((~![A: $i] : (~(v3_struct_0(k3_yellow_1(A)) | (~v1_orders_2(k3_yellow_1(A))) | (~v2_orders_2(k3_yellow_1(A))) | (~v3_orders_2(k3_yellow_1(A))) | (~v4_orders_2(k3_yellow_1(A))) | (~v1_lattice3(k3_yellow_1(A))) | (~v2_lattice3(k3_yellow_1(A))) | (~v3_lattice3(k3_yellow_1(A))) | (~v1_yellow_0(k3_yellow_1(A))) | (~v2_yellow_0(k3_yellow_1(A))) | (~v3_yellow_0(k3_yellow_1(A))) | (~v24_waybel_0(k3_yellow_1(A))) | (~v25_waybel_0(k3_yellow_1(A))) | (~v2_waybel_1(k3_yellow_1(A))) | (~v9_waybel_1(k3_yellow_1(A))) | (~v10_waybel_1(k3_yellow_1(A))) | (~v11_waybel_1(k3_yellow_1(A))) | (~v2_waybel_3(k3_yellow_1(A))) | (~v3_waybel_3(k3_yellow_1(A))) | (~v1_waybel_8(k3_yellow_1(A))) | (~v2_waybel_8(k3_yellow_1(A)))))) | (~(v3_struct_0(k3_yellow_1(A!1)) | (~v1_orders_2(k3_yellow_1(A!1))) | (~v2_orders_2(k3_yellow_1(A!1))) | (~v3_orders_2(k3_yellow_1(A!1))) | (~v4_orders_2(k3_yellow_1(A!1))) | (~v1_lattice3(k3_yellow_1(A!1))) | (~v2_lattice3(k3_yellow_1(A!1))) | (~v3_lattice3(k3_yellow_1(A!1))) | (~v1_yellow_0(k3_yellow_1(A!1))) | (~v2_yellow_0(k3_yellow_1(A!1))) | (~v3_yellow_0(k3_yellow_1(A!1))) | (~v24_waybel_0(k3_yellow_1(A!1))) | (~v25_waybel_0(k3_yellow_1(A!1))) | (~v2_waybel_1(k3_yellow_1(A!1))) | (~v9_waybel_1(k3_yellow_1(A!1))) | (~v10_waybel_1(k3_yellow_1(A!1))) | (~v11_waybel_1(k3_yellow_1(A!1))) | (~v2_waybel_3(k3_yellow_1(A!1))) | (~v3_waybel_3(k3_yellow_1(A!1))) | (~v1_waybel_8(k3_yellow_1(A!1))) | (~v2_waybel_8(k3_yellow_1(A!1)))))) <=> ((~![A: $i] : (~(v3_struct_0(k3_yellow_1(A)) | (~v1_orders_2(k3_yellow_1(A))) | (~v2_orders_2(k3_yellow_1(A))) | (~v3_orders_2(k3_yellow_1(A))) | (~v4_orders_2(k3_yellow_1(A))) | (~v1_lattice3(k3_yellow_1(A))) | (~v2_lattice3(k3_yellow_1(A))) | (~v3_lattice3(k3_yellow_1(A))) | (~v1_yellow_0(k3_yellow_1(A))) | (~v2_yellow_0(k3_yellow_1(A))) | (~v3_yellow_0(k3_yellow_1(A))) | (~v24_waybel_0(k3_yellow_1(A))) | (~v25_waybel_0(k3_yellow_1(A))) | (~v2_waybel_1(k3_yellow_1(A))) | (~v9_waybel_1(k3_yellow_1(A))) | (~v10_waybel_1(k3_yellow_1(A))) | (~v11_waybel_1(k3_yellow_1(A))) | (~v2_waybel_3(k3_yellow_1(A))) | (~v3_waybel_3(k3_yellow_1(A))) | (~v1_waybel_8(k3_yellow_1(A))) | (~v2_waybel_8(k3_yellow_1(A)))))) | (~((~v2_lattice3(k3_yellow_1(A!1))) | (~v2_orders_2(k3_yellow_1(A!1))) | (~v3_orders_2(k3_yellow_1(A!1))) | (~v4_orders_2(k3_yellow_1(A!1))) | (~v2_yellow_0(k3_yellow_1(A!1))) | v3_struct_0(k3_yellow_1(A!1)) | (~v1_orders_2(k3_yellow_1(A!1))) | (~v1_lattice3(k3_yellow_1(A!1))) | (~v3_lattice3(k3_yellow_1(A!1))) | (~v1_yellow_0(k3_yellow_1(A!1))) | (~v3_yellow_0(k3_yellow_1(A!1))) | (~v24_waybel_0(k3_yellow_1(A!1))) | (~v25_waybel_0(k3_yellow_1(A!1))) | (~v2_waybel_1(k3_yellow_1(A!1))) | (~v9_waybel_1(k3_yellow_1(A!1))) | (~v10_waybel_1(k3_yellow_1(A!1))) | (~v11_waybel_1(k3_yellow_1(A!1))) | (~v2_waybel_3(k3_yellow_1(A!1))) | (~v3_waybel_3(k3_yellow_1(A!1))) | (~v1_waybel_8(k3_yellow_1(A!1))) | (~v2_waybel_8(k3_yellow_1(A!1))))))),
% 0.59/0.75 inference(monotonicity,[status(thm)],[76])).
% 0.59/0.75 tff(78,plain,
% 0.59/0.75 (((~![A: $i] : (~(v3_struct_0(k3_yellow_1(A)) | (~v1_orders_2(k3_yellow_1(A))) | (~v2_orders_2(k3_yellow_1(A))) | (~v3_orders_2(k3_yellow_1(A))) | (~v4_orders_2(k3_yellow_1(A))) | (~v1_lattice3(k3_yellow_1(A))) | (~v2_lattice3(k3_yellow_1(A))) | (~v3_lattice3(k3_yellow_1(A))) | (~v1_yellow_0(k3_yellow_1(A))) | (~v2_yellow_0(k3_yellow_1(A))) | (~v3_yellow_0(k3_yellow_1(A))) | (~v24_waybel_0(k3_yellow_1(A))) | (~v25_waybel_0(k3_yellow_1(A))) | (~v2_waybel_1(k3_yellow_1(A))) | (~v9_waybel_1(k3_yellow_1(A))) | (~v10_waybel_1(k3_yellow_1(A))) | (~v11_waybel_1(k3_yellow_1(A))) | (~v2_waybel_3(k3_yellow_1(A))) | (~v3_waybel_3(k3_yellow_1(A))) | (~v1_waybel_8(k3_yellow_1(A))) | (~v2_waybel_8(k3_yellow_1(A)))))) | (~(v3_struct_0(k3_yellow_1(A!1)) | (~v1_orders_2(k3_yellow_1(A!1))) | (~v2_orders_2(k3_yellow_1(A!1))) | (~v3_orders_2(k3_yellow_1(A!1))) | (~v4_orders_2(k3_yellow_1(A!1))) | (~v1_lattice3(k3_yellow_1(A!1))) | (~v2_lattice3(k3_yellow_1(A!1))) | (~v3_lattice3(k3_yellow_1(A!1))) | (~v1_yellow_0(k3_yellow_1(A!1))) | (~v2_yellow_0(k3_yellow_1(A!1))) | (~v3_yellow_0(k3_yellow_1(A!1))) | (~v24_waybel_0(k3_yellow_1(A!1))) | (~v25_waybel_0(k3_yellow_1(A!1))) | (~v2_waybel_1(k3_yellow_1(A!1))) | (~v9_waybel_1(k3_yellow_1(A!1))) | (~v10_waybel_1(k3_yellow_1(A!1))) | (~v11_waybel_1(k3_yellow_1(A!1))) | (~v2_waybel_3(k3_yellow_1(A!1))) | (~v3_waybel_3(k3_yellow_1(A!1))) | (~v1_waybel_8(k3_yellow_1(A!1))) | (~v2_waybel_8(k3_yellow_1(A!1)))))) <=> ((~![A: $i] : (~(v3_struct_0(k3_yellow_1(A)) | (~v1_orders_2(k3_yellow_1(A))) | (~v2_orders_2(k3_yellow_1(A))) | (~v3_orders_2(k3_yellow_1(A))) | (~v4_orders_2(k3_yellow_1(A))) | (~v1_lattice3(k3_yellow_1(A))) | (~v2_lattice3(k3_yellow_1(A))) | (~v3_lattice3(k3_yellow_1(A))) | (~v1_yellow_0(k3_yellow_1(A))) | (~v2_yellow_0(k3_yellow_1(A))) | (~v3_yellow_0(k3_yellow_1(A))) | (~v24_waybel_0(k3_yellow_1(A))) | (~v25_waybel_0(k3_yellow_1(A))) | (~v2_waybel_1(k3_yellow_1(A))) | (~v9_waybel_1(k3_yellow_1(A))) | (~v10_waybel_1(k3_yellow_1(A))) | (~v11_waybel_1(k3_yellow_1(A))) | (~v2_waybel_3(k3_yellow_1(A))) | (~v3_waybel_3(k3_yellow_1(A))) | (~v1_waybel_8(k3_yellow_1(A))) | (~v2_waybel_8(k3_yellow_1(A)))))) | (~((~v2_lattice3(k3_yellow_1(A!1))) | (~v2_orders_2(k3_yellow_1(A!1))) | (~v3_orders_2(k3_yellow_1(A!1))) | (~v4_orders_2(k3_yellow_1(A!1))) | (~v2_yellow_0(k3_yellow_1(A!1))) | v3_struct_0(k3_yellow_1(A!1)) | (~v1_orders_2(k3_yellow_1(A!1))) | (~v1_lattice3(k3_yellow_1(A!1))) | (~v3_lattice3(k3_yellow_1(A!1))) | (~v1_yellow_0(k3_yellow_1(A!1))) | (~v3_yellow_0(k3_yellow_1(A!1))) | (~v24_waybel_0(k3_yellow_1(A!1))) | (~v25_waybel_0(k3_yellow_1(A!1))) | (~v2_waybel_1(k3_yellow_1(A!1))) | (~v9_waybel_1(k3_yellow_1(A!1))) | (~v10_waybel_1(k3_yellow_1(A!1))) | (~v11_waybel_1(k3_yellow_1(A!1))) | (~v2_waybel_3(k3_yellow_1(A!1))) | (~v3_waybel_3(k3_yellow_1(A!1))) | (~v1_waybel_8(k3_yellow_1(A!1))) | (~v2_waybel_8(k3_yellow_1(A!1))))))),
% 0.59/0.75 inference(transitivity,[status(thm)],[77, 75])).
% 0.59/0.75 tff(79,plain,
% 0.59/0.75 ((~![A: $i] : (~(v3_struct_0(k3_yellow_1(A)) | (~v1_orders_2(k3_yellow_1(A))) | (~v2_orders_2(k3_yellow_1(A))) | (~v3_orders_2(k3_yellow_1(A))) | (~v4_orders_2(k3_yellow_1(A))) | (~v1_lattice3(k3_yellow_1(A))) | (~v2_lattice3(k3_yellow_1(A))) | (~v3_lattice3(k3_yellow_1(A))) | (~v1_yellow_0(k3_yellow_1(A))) | (~v2_yellow_0(k3_yellow_1(A))) | (~v3_yellow_0(k3_yellow_1(A))) | (~v24_waybel_0(k3_yellow_1(A))) | (~v25_waybel_0(k3_yellow_1(A))) | (~v2_waybel_1(k3_yellow_1(A))) | (~v9_waybel_1(k3_yellow_1(A))) | (~v10_waybel_1(k3_yellow_1(A))) | (~v11_waybel_1(k3_yellow_1(A))) | (~v2_waybel_3(k3_yellow_1(A))) | (~v3_waybel_3(k3_yellow_1(A))) | (~v1_waybel_8(k3_yellow_1(A))) | (~v2_waybel_8(k3_yellow_1(A)))))) | (~(v3_struct_0(k3_yellow_1(A!1)) | (~v1_orders_2(k3_yellow_1(A!1))) | (~v2_orders_2(k3_yellow_1(A!1))) | (~v3_orders_2(k3_yellow_1(A!1))) | (~v4_orders_2(k3_yellow_1(A!1))) | (~v1_lattice3(k3_yellow_1(A!1))) | (~v2_lattice3(k3_yellow_1(A!1))) | (~v3_lattice3(k3_yellow_1(A!1))) | (~v1_yellow_0(k3_yellow_1(A!1))) | (~v2_yellow_0(k3_yellow_1(A!1))) | (~v3_yellow_0(k3_yellow_1(A!1))) | (~v24_waybel_0(k3_yellow_1(A!1))) | (~v25_waybel_0(k3_yellow_1(A!1))) | (~v2_waybel_1(k3_yellow_1(A!1))) | (~v9_waybel_1(k3_yellow_1(A!1))) | (~v10_waybel_1(k3_yellow_1(A!1))) | (~v11_waybel_1(k3_yellow_1(A!1))) | (~v2_waybel_3(k3_yellow_1(A!1))) | (~v3_waybel_3(k3_yellow_1(A!1))) | (~v1_waybel_8(k3_yellow_1(A!1))) | (~v2_waybel_8(k3_yellow_1(A!1)))))),
% 0.59/0.76 inference(quant_inst,[status(thm)],[])).
% 0.59/0.76 tff(80,plain,
% 0.59/0.76 ((~![A: $i] : (~(v3_struct_0(k3_yellow_1(A)) | (~v1_orders_2(k3_yellow_1(A))) | (~v2_orders_2(k3_yellow_1(A))) | (~v3_orders_2(k3_yellow_1(A))) | (~v4_orders_2(k3_yellow_1(A))) | (~v1_lattice3(k3_yellow_1(A))) | (~v2_lattice3(k3_yellow_1(A))) | (~v3_lattice3(k3_yellow_1(A))) | (~v1_yellow_0(k3_yellow_1(A))) | (~v2_yellow_0(k3_yellow_1(A))) | (~v3_yellow_0(k3_yellow_1(A))) | (~v24_waybel_0(k3_yellow_1(A))) | (~v25_waybel_0(k3_yellow_1(A))) | (~v2_waybel_1(k3_yellow_1(A))) | (~v9_waybel_1(k3_yellow_1(A))) | (~v10_waybel_1(k3_yellow_1(A))) | (~v11_waybel_1(k3_yellow_1(A))) | (~v2_waybel_3(k3_yellow_1(A))) | (~v3_waybel_3(k3_yellow_1(A))) | (~v1_waybel_8(k3_yellow_1(A))) | (~v2_waybel_8(k3_yellow_1(A)))))) | (~((~v2_lattice3(k3_yellow_1(A!1))) | (~v2_orders_2(k3_yellow_1(A!1))) | (~v3_orders_2(k3_yellow_1(A!1))) | (~v4_orders_2(k3_yellow_1(A!1))) | (~v2_yellow_0(k3_yellow_1(A!1))) | v3_struct_0(k3_yellow_1(A!1)) | (~v1_orders_2(k3_yellow_1(A!1))) | (~v1_lattice3(k3_yellow_1(A!1))) | (~v3_lattice3(k3_yellow_1(A!1))) | (~v1_yellow_0(k3_yellow_1(A!1))) | (~v3_yellow_0(k3_yellow_1(A!1))) | (~v24_waybel_0(k3_yellow_1(A!1))) | (~v25_waybel_0(k3_yellow_1(A!1))) | (~v2_waybel_1(k3_yellow_1(A!1))) | (~v9_waybel_1(k3_yellow_1(A!1))) | (~v10_waybel_1(k3_yellow_1(A!1))) | (~v11_waybel_1(k3_yellow_1(A!1))) | (~v2_waybel_3(k3_yellow_1(A!1))) | (~v3_waybel_3(k3_yellow_1(A!1))) | (~v1_waybel_8(k3_yellow_1(A!1))) | (~v2_waybel_8(k3_yellow_1(A!1)))))),
% 0.59/0.76 inference(modus_ponens,[status(thm)],[79, 78])).
% 0.59/0.76 tff(81,plain,
% 0.59/0.76 (~((~v2_lattice3(k3_yellow_1(A!1))) | (~v2_orders_2(k3_yellow_1(A!1))) | (~v3_orders_2(k3_yellow_1(A!1))) | (~v4_orders_2(k3_yellow_1(A!1))) | (~v2_yellow_0(k3_yellow_1(A!1))) | v3_struct_0(k3_yellow_1(A!1)) | (~v1_orders_2(k3_yellow_1(A!1))) | (~v1_lattice3(k3_yellow_1(A!1))) | (~v3_lattice3(k3_yellow_1(A!1))) | (~v1_yellow_0(k3_yellow_1(A!1))) | (~v3_yellow_0(k3_yellow_1(A!1))) | (~v24_waybel_0(k3_yellow_1(A!1))) | (~v25_waybel_0(k3_yellow_1(A!1))) | (~v2_waybel_1(k3_yellow_1(A!1))) | (~v9_waybel_1(k3_yellow_1(A!1))) | (~v10_waybel_1(k3_yellow_1(A!1))) | (~v11_waybel_1(k3_yellow_1(A!1))) | (~v2_waybel_3(k3_yellow_1(A!1))) | (~v3_waybel_3(k3_yellow_1(A!1))) | (~v1_waybel_8(k3_yellow_1(A!1))) | (~v2_waybel_8(k3_yellow_1(A!1))))),
% 0.59/0.76 inference(unit_resolution,[status(thm)],[80, 74])).
% 0.59/0.76 tff(82,plain,
% 0.59/0.76 (((~v2_lattice3(k3_yellow_1(A!1))) | (~v2_orders_2(k3_yellow_1(A!1))) | (~v3_orders_2(k3_yellow_1(A!1))) | (~v4_orders_2(k3_yellow_1(A!1))) | (~v2_yellow_0(k3_yellow_1(A!1))) | v3_struct_0(k3_yellow_1(A!1)) | (~v1_orders_2(k3_yellow_1(A!1))) | (~v1_lattice3(k3_yellow_1(A!1))) | (~v3_lattice3(k3_yellow_1(A!1))) | (~v1_yellow_0(k3_yellow_1(A!1))) | (~v3_yellow_0(k3_yellow_1(A!1))) | (~v24_waybel_0(k3_yellow_1(A!1))) | (~v25_waybel_0(k3_yellow_1(A!1))) | (~v2_waybel_1(k3_yellow_1(A!1))) | (~v9_waybel_1(k3_yellow_1(A!1))) | (~v10_waybel_1(k3_yellow_1(A!1))) | (~v11_waybel_1(k3_yellow_1(A!1))) | (~v2_waybel_3(k3_yellow_1(A!1))) | (~v3_waybel_3(k3_yellow_1(A!1))) | (~v1_waybel_8(k3_yellow_1(A!1))) | (~v2_waybel_8(k3_yellow_1(A!1)))) | v2_lattice3(k3_yellow_1(A!1))),
% 0.59/0.76 inference(tautology,[status(thm)],[])).
% 0.59/0.76 tff(83,plain,
% 0.59/0.76 (v2_lattice3(k3_yellow_1(A!1))),
% 0.59/0.76 inference(unit_resolution,[status(thm)],[82, 81])).
% 0.59/0.76 tff(84,plain,
% 0.59/0.76 (((~v2_lattice3(k3_yellow_1(A!1))) | (~v2_orders_2(k3_yellow_1(A!1))) | (~v3_orders_2(k3_yellow_1(A!1))) | (~v4_orders_2(k3_yellow_1(A!1))) | (~v2_yellow_0(k3_yellow_1(A!1))) | v3_struct_0(k3_yellow_1(A!1)) | (~v1_orders_2(k3_yellow_1(A!1))) | (~v1_lattice3(k3_yellow_1(A!1))) | (~v3_lattice3(k3_yellow_1(A!1))) | (~v1_yellow_0(k3_yellow_1(A!1))) | (~v3_yellow_0(k3_yellow_1(A!1))) | (~v24_waybel_0(k3_yellow_1(A!1))) | (~v25_waybel_0(k3_yellow_1(A!1))) | (~v2_waybel_1(k3_yellow_1(A!1))) | (~v9_waybel_1(k3_yellow_1(A!1))) | (~v10_waybel_1(k3_yellow_1(A!1))) | (~v11_waybel_1(k3_yellow_1(A!1))) | (~v2_waybel_3(k3_yellow_1(A!1))) | (~v3_waybel_3(k3_yellow_1(A!1))) | (~v1_waybel_8(k3_yellow_1(A!1))) | (~v2_waybel_8(k3_yellow_1(A!1)))) | (~v3_struct_0(k3_yellow_1(A!1)))),
% 0.59/0.76 inference(tautology,[status(thm)],[])).
% 0.59/0.76 tff(85,plain,
% 0.59/0.76 (~v3_struct_0(k3_yellow_1(A!1))),
% 0.59/0.76 inference(unit_resolution,[status(thm)],[84, 81])).
% 0.59/0.76 tff(86,plain,
% 0.59/0.76 (((~v2_lattice3(k3_yellow_1(A!1))) | (~v2_orders_2(k3_yellow_1(A!1))) | (~v3_orders_2(k3_yellow_1(A!1))) | (~v4_orders_2(k3_yellow_1(A!1))) | (~v2_yellow_0(k3_yellow_1(A!1))) | v3_struct_0(k3_yellow_1(A!1)) | (~v1_orders_2(k3_yellow_1(A!1))) | (~v1_lattice3(k3_yellow_1(A!1))) | (~v3_lattice3(k3_yellow_1(A!1))) | (~v1_yellow_0(k3_yellow_1(A!1))) | (~v3_yellow_0(k3_yellow_1(A!1))) | (~v24_waybel_0(k3_yellow_1(A!1))) | (~v25_waybel_0(k3_yellow_1(A!1))) | (~v2_waybel_1(k3_yellow_1(A!1))) | (~v9_waybel_1(k3_yellow_1(A!1))) | (~v10_waybel_1(k3_yellow_1(A!1))) | (~v11_waybel_1(k3_yellow_1(A!1))) | (~v2_waybel_3(k3_yellow_1(A!1))) | (~v3_waybel_3(k3_yellow_1(A!1))) | (~v1_waybel_8(k3_yellow_1(A!1))) | (~v2_waybel_8(k3_yellow_1(A!1)))) | v2_yellow_0(k3_yellow_1(A!1))),
% 0.59/0.76 inference(tautology,[status(thm)],[])).
% 0.59/0.76 tff(87,plain,
% 0.59/0.76 (v2_yellow_0(k3_yellow_1(A!1))),
% 0.59/0.76 inference(unit_resolution,[status(thm)],[86, 81])).
% 0.59/0.76 tff(88,plain,
% 0.59/0.76 (((~v2_lattice3(k3_yellow_1(A!1))) | (~v2_orders_2(k3_yellow_1(A!1))) | (~v3_orders_2(k3_yellow_1(A!1))) | (~v4_orders_2(k3_yellow_1(A!1))) | (~v2_yellow_0(k3_yellow_1(A!1))) | v3_struct_0(k3_yellow_1(A!1)) | (~v1_orders_2(k3_yellow_1(A!1))) | (~v1_lattice3(k3_yellow_1(A!1))) | (~v3_lattice3(k3_yellow_1(A!1))) | (~v1_yellow_0(k3_yellow_1(A!1))) | (~v3_yellow_0(k3_yellow_1(A!1))) | (~v24_waybel_0(k3_yellow_1(A!1))) | (~v25_waybel_0(k3_yellow_1(A!1))) | (~v2_waybel_1(k3_yellow_1(A!1))) | (~v9_waybel_1(k3_yellow_1(A!1))) | (~v10_waybel_1(k3_yellow_1(A!1))) | (~v11_waybel_1(k3_yellow_1(A!1))) | (~v2_waybel_3(k3_yellow_1(A!1))) | (~v3_waybel_3(k3_yellow_1(A!1))) | (~v1_waybel_8(k3_yellow_1(A!1))) | (~v2_waybel_8(k3_yellow_1(A!1)))) | v4_orders_2(k3_yellow_1(A!1))),
% 0.59/0.76 inference(tautology,[status(thm)],[])).
% 0.59/0.76 tff(89,plain,
% 0.59/0.76 (v4_orders_2(k3_yellow_1(A!1))),
% 0.59/0.76 inference(unit_resolution,[status(thm)],[88, 81])).
% 0.59/0.76 tff(90,plain,
% 0.59/0.76 (((~v2_lattice3(k3_yellow_1(A!1))) | (~v2_orders_2(k3_yellow_1(A!1))) | (~v3_orders_2(k3_yellow_1(A!1))) | (~v4_orders_2(k3_yellow_1(A!1))) | (~v2_yellow_0(k3_yellow_1(A!1))) | v3_struct_0(k3_yellow_1(A!1)) | (~v1_orders_2(k3_yellow_1(A!1))) | (~v1_lattice3(k3_yellow_1(A!1))) | (~v3_lattice3(k3_yellow_1(A!1))) | (~v1_yellow_0(k3_yellow_1(A!1))) | (~v3_yellow_0(k3_yellow_1(A!1))) | (~v24_waybel_0(k3_yellow_1(A!1))) | (~v25_waybel_0(k3_yellow_1(A!1))) | (~v2_waybel_1(k3_yellow_1(A!1))) | (~v9_waybel_1(k3_yellow_1(A!1))) | (~v10_waybel_1(k3_yellow_1(A!1))) | (~v11_waybel_1(k3_yellow_1(A!1))) | (~v2_waybel_3(k3_yellow_1(A!1))) | (~v3_waybel_3(k3_yellow_1(A!1))) | (~v1_waybel_8(k3_yellow_1(A!1))) | (~v2_waybel_8(k3_yellow_1(A!1)))) | v3_orders_2(k3_yellow_1(A!1))),
% 0.59/0.76 inference(tautology,[status(thm)],[])).
% 0.59/0.76 tff(91,plain,
% 0.59/0.76 (v3_orders_2(k3_yellow_1(A!1))),
% 0.59/0.76 inference(unit_resolution,[status(thm)],[90, 81])).
% 0.59/0.76 tff(92,plain,
% 0.59/0.76 (((~v2_lattice3(k3_yellow_1(A!1))) | (~v2_orders_2(k3_yellow_1(A!1))) | (~v3_orders_2(k3_yellow_1(A!1))) | (~v4_orders_2(k3_yellow_1(A!1))) | (~v2_yellow_0(k3_yellow_1(A!1))) | v3_struct_0(k3_yellow_1(A!1)) | (~v1_orders_2(k3_yellow_1(A!1))) | (~v1_lattice3(k3_yellow_1(A!1))) | (~v3_lattice3(k3_yellow_1(A!1))) | (~v1_yellow_0(k3_yellow_1(A!1))) | (~v3_yellow_0(k3_yellow_1(A!1))) | (~v24_waybel_0(k3_yellow_1(A!1))) | (~v25_waybel_0(k3_yellow_1(A!1))) | (~v2_waybel_1(k3_yellow_1(A!1))) | (~v9_waybel_1(k3_yellow_1(A!1))) | (~v10_waybel_1(k3_yellow_1(A!1))) | (~v11_waybel_1(k3_yellow_1(A!1))) | (~v2_waybel_3(k3_yellow_1(A!1))) | (~v3_waybel_3(k3_yellow_1(A!1))) | (~v1_waybel_8(k3_yellow_1(A!1))) | (~v2_waybel_8(k3_yellow_1(A!1)))) | v2_orders_2(k3_yellow_1(A!1))),
% 0.59/0.76 inference(tautology,[status(thm)],[])).
% 0.59/0.76 tff(93,plain,
% 0.59/0.76 (v2_orders_2(k3_yellow_1(A!1))),
% 0.59/0.76 inference(unit_resolution,[status(thm)],[92, 81])).
% 0.59/0.76 tff(94,plain,
% 0.59/0.76 (^[A: $i] : refl((~((~v1_orders_2(k3_yellow_1(A))) | (~l1_orders_2(k3_yellow_1(A))))) <=> (~((~v1_orders_2(k3_yellow_1(A))) | (~l1_orders_2(k3_yellow_1(A))))))),
% 0.59/0.76 inference(bind,[status(th)],[])).
% 0.59/0.76 tff(95,plain,
% 0.59/0.76 (![A: $i] : (~((~v1_orders_2(k3_yellow_1(A))) | (~l1_orders_2(k3_yellow_1(A))))) <=> ![A: $i] : (~((~v1_orders_2(k3_yellow_1(A))) | (~l1_orders_2(k3_yellow_1(A)))))),
% 0.59/0.76 inference(quant_intro,[status(thm)],[94])).
% 0.59/0.76 tff(96,plain,
% 0.59/0.76 (^[A: $i] : rewrite((v1_orders_2(k3_yellow_1(A)) & l1_orders_2(k3_yellow_1(A))) <=> (~((~v1_orders_2(k3_yellow_1(A))) | (~l1_orders_2(k3_yellow_1(A))))))),
% 0.59/0.76 inference(bind,[status(th)],[])).
% 0.59/0.76 tff(97,plain,
% 0.59/0.76 (![A: $i] : (v1_orders_2(k3_yellow_1(A)) & l1_orders_2(k3_yellow_1(A))) <=> ![A: $i] : (~((~v1_orders_2(k3_yellow_1(A))) | (~l1_orders_2(k3_yellow_1(A)))))),
% 0.59/0.76 inference(quant_intro,[status(thm)],[96])).
% 0.59/0.76 tff(98,plain,
% 0.59/0.76 (![A: $i] : (v1_orders_2(k3_yellow_1(A)) & l1_orders_2(k3_yellow_1(A))) <=> ![A: $i] : (v1_orders_2(k3_yellow_1(A)) & l1_orders_2(k3_yellow_1(A)))),
% 0.59/0.76 inference(rewrite,[status(thm)],[])).
% 0.59/0.76 tff(99,axiom,(![A: $i] : (v1_orders_2(k3_yellow_1(A)) & l1_orders_2(k3_yellow_1(A)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','dt_k3_yellow_1')).
% 0.59/0.76 tff(100,plain,
% 0.59/0.76 (![A: $i] : (v1_orders_2(k3_yellow_1(A)) & l1_orders_2(k3_yellow_1(A)))),
% 0.59/0.76 inference(modus_ponens,[status(thm)],[99, 98])).
% 0.59/0.76 tff(101,plain,(
% 0.59/0.76 ![A: $i] : (v1_orders_2(k3_yellow_1(A)) & l1_orders_2(k3_yellow_1(A)))),
% 0.59/0.76 inference(skolemize,[status(sab)],[100])).
% 0.59/0.76 tff(102,plain,
% 0.59/0.76 (![A: $i] : (~((~v1_orders_2(k3_yellow_1(A))) | (~l1_orders_2(k3_yellow_1(A)))))),
% 0.59/0.76 inference(modus_ponens,[status(thm)],[101, 97])).
% 0.59/0.76 tff(103,plain,
% 0.59/0.76 (![A: $i] : (~((~v1_orders_2(k3_yellow_1(A))) | (~l1_orders_2(k3_yellow_1(A)))))),
% 0.59/0.76 inference(modus_ponens,[status(thm)],[102, 95])).
% 0.59/0.76 tff(104,plain,
% 0.59/0.76 (((~![A: $i] : (~((~v1_orders_2(k3_yellow_1(A))) | (~l1_orders_2(k3_yellow_1(A)))))) | (~((~l1_orders_2(k3_yellow_1(A!1))) | (~v1_orders_2(k3_yellow_1(A!1)))))) <=> ((~![A: $i] : (~((~v1_orders_2(k3_yellow_1(A))) | (~l1_orders_2(k3_yellow_1(A)))))) | (~((~l1_orders_2(k3_yellow_1(A!1))) | (~v1_orders_2(k3_yellow_1(A!1))))))),
% 0.59/0.76 inference(rewrite,[status(thm)],[])).
% 0.59/0.76 tff(105,plain,
% 0.59/0.76 ((~((~v1_orders_2(k3_yellow_1(A!1))) | (~l1_orders_2(k3_yellow_1(A!1))))) <=> (~((~l1_orders_2(k3_yellow_1(A!1))) | (~v1_orders_2(k3_yellow_1(A!1)))))),
% 0.59/0.76 inference(rewrite,[status(thm)],[])).
% 0.59/0.76 tff(106,plain,
% 0.59/0.76 (((~![A: $i] : (~((~v1_orders_2(k3_yellow_1(A))) | (~l1_orders_2(k3_yellow_1(A)))))) | (~((~v1_orders_2(k3_yellow_1(A!1))) | (~l1_orders_2(k3_yellow_1(A!1)))))) <=> ((~![A: $i] : (~((~v1_orders_2(k3_yellow_1(A))) | (~l1_orders_2(k3_yellow_1(A)))))) | (~((~l1_orders_2(k3_yellow_1(A!1))) | (~v1_orders_2(k3_yellow_1(A!1))))))),
% 0.59/0.76 inference(monotonicity,[status(thm)],[105])).
% 0.59/0.76 tff(107,plain,
% 0.59/0.76 (((~![A: $i] : (~((~v1_orders_2(k3_yellow_1(A))) | (~l1_orders_2(k3_yellow_1(A)))))) | (~((~v1_orders_2(k3_yellow_1(A!1))) | (~l1_orders_2(k3_yellow_1(A!1)))))) <=> ((~![A: $i] : (~((~v1_orders_2(k3_yellow_1(A))) | (~l1_orders_2(k3_yellow_1(A)))))) | (~((~l1_orders_2(k3_yellow_1(A!1))) | (~v1_orders_2(k3_yellow_1(A!1))))))),
% 0.59/0.76 inference(transitivity,[status(thm)],[106, 104])).
% 0.59/0.76 tff(108,plain,
% 0.59/0.76 ((~![A: $i] : (~((~v1_orders_2(k3_yellow_1(A))) | (~l1_orders_2(k3_yellow_1(A)))))) | (~((~v1_orders_2(k3_yellow_1(A!1))) | (~l1_orders_2(k3_yellow_1(A!1)))))),
% 0.59/0.76 inference(quant_inst,[status(thm)],[])).
% 0.59/0.76 tff(109,plain,
% 0.59/0.76 ((~![A: $i] : (~((~v1_orders_2(k3_yellow_1(A))) | (~l1_orders_2(k3_yellow_1(A)))))) | (~((~l1_orders_2(k3_yellow_1(A!1))) | (~v1_orders_2(k3_yellow_1(A!1)))))),
% 0.59/0.76 inference(modus_ponens,[status(thm)],[108, 107])).
% 0.59/0.76 tff(110,plain,
% 0.59/0.76 (~((~l1_orders_2(k3_yellow_1(A!1))) | (~v1_orders_2(k3_yellow_1(A!1))))),
% 0.59/0.76 inference(unit_resolution,[status(thm)],[109, 103])).
% 0.59/0.76 tff(111,plain,
% 0.59/0.76 (((~l1_orders_2(k3_yellow_1(A!1))) | (~v1_orders_2(k3_yellow_1(A!1)))) | l1_orders_2(k3_yellow_1(A!1))),
% 0.59/0.76 inference(tautology,[status(thm)],[])).
% 0.59/0.76 tff(112,plain,
% 0.59/0.76 (l1_orders_2(k3_yellow_1(A!1))),
% 0.59/0.76 inference(unit_resolution,[status(thm)],[111, 110])).
% 0.59/0.76 tff(113,plain,
% 0.59/0.76 (^[A: $i] : refl((v3_struct_0(A) | (~l1_orders_2(A)) | (~v2_lattice3(A)) | (~v2_orders_2(A)) | (~v3_orders_2(A)) | (~v4_orders_2(A)) | (~v2_yellow_0(A)) | (~(v3_struct_0(k2_yellow_1(k9_waybel_0(A))) | (~v1_orders_2(k2_yellow_1(k9_waybel_0(A)))) | (~v2_orders_2(k2_yellow_1(k9_waybel_0(A)))) | (~v3_orders_2(k2_yellow_1(k9_waybel_0(A)))) | (~v4_orders_2(k2_yellow_1(k9_waybel_0(A)))) | (~v1_yellow_0(k2_yellow_1(k9_waybel_0(A)))) | (~v2_yellow_0(k2_yellow_1(k9_waybel_0(A)))) | (~v3_yellow_0(k2_yellow_1(k9_waybel_0(A)))) | (~v24_waybel_0(k2_yellow_1(k9_waybel_0(A)))) | (~v25_waybel_0(k2_yellow_1(k9_waybel_0(A)))) | (~v1_lattice3(k2_yellow_1(k9_waybel_0(A)))) | (~v2_lattice3(k2_yellow_1(k9_waybel_0(A)))) | (~v3_lattice3(k2_yellow_1(k9_waybel_0(A)))) | (~v3_waybel_3(k2_yellow_1(k9_waybel_0(A))))))) <=> (v3_struct_0(A) | (~l1_orders_2(A)) | (~v2_lattice3(A)) | (~v2_orders_2(A)) | (~v3_orders_2(A)) | (~v4_orders_2(A)) | (~v2_yellow_0(A)) | (~(v3_struct_0(k2_yellow_1(k9_waybel_0(A))) | (~v1_orders_2(k2_yellow_1(k9_waybel_0(A)))) | (~v2_orders_2(k2_yellow_1(k9_waybel_0(A)))) | (~v3_orders_2(k2_yellow_1(k9_waybel_0(A)))) | (~v4_orders_2(k2_yellow_1(k9_waybel_0(A)))) | (~v1_yellow_0(k2_yellow_1(k9_waybel_0(A)))) | (~v2_yellow_0(k2_yellow_1(k9_waybel_0(A)))) | (~v3_yellow_0(k2_yellow_1(k9_waybel_0(A)))) | (~v24_waybel_0(k2_yellow_1(k9_waybel_0(A)))) | (~v25_waybel_0(k2_yellow_1(k9_waybel_0(A)))) | (~v1_lattice3(k2_yellow_1(k9_waybel_0(A)))) | (~v2_lattice3(k2_yellow_1(k9_waybel_0(A)))) | (~v3_lattice3(k2_yellow_1(k9_waybel_0(A)))) | (~v3_waybel_3(k2_yellow_1(k9_waybel_0(A))))))))),
% 0.59/0.76 inference(bind,[status(th)],[])).
% 0.59/0.76 tff(114,plain,
% 0.59/0.76 (![A: $i] : (v3_struct_0(A) | (~l1_orders_2(A)) | (~v2_lattice3(A)) | (~v2_orders_2(A)) | (~v3_orders_2(A)) | (~v4_orders_2(A)) | (~v2_yellow_0(A)) | (~(v3_struct_0(k2_yellow_1(k9_waybel_0(A))) | (~v1_orders_2(k2_yellow_1(k9_waybel_0(A)))) | (~v2_orders_2(k2_yellow_1(k9_waybel_0(A)))) | (~v3_orders_2(k2_yellow_1(k9_waybel_0(A)))) | (~v4_orders_2(k2_yellow_1(k9_waybel_0(A)))) | (~v1_yellow_0(k2_yellow_1(k9_waybel_0(A)))) | (~v2_yellow_0(k2_yellow_1(k9_waybel_0(A)))) | (~v3_yellow_0(k2_yellow_1(k9_waybel_0(A)))) | (~v24_waybel_0(k2_yellow_1(k9_waybel_0(A)))) | (~v25_waybel_0(k2_yellow_1(k9_waybel_0(A)))) | (~v1_lattice3(k2_yellow_1(k9_waybel_0(A)))) | (~v2_lattice3(k2_yellow_1(k9_waybel_0(A)))) | (~v3_lattice3(k2_yellow_1(k9_waybel_0(A)))) | (~v3_waybel_3(k2_yellow_1(k9_waybel_0(A))))))) <=> ![A: $i] : (v3_struct_0(A) | (~l1_orders_2(A)) | (~v2_lattice3(A)) | (~v2_orders_2(A)) | (~v3_orders_2(A)) | (~v4_orders_2(A)) | (~v2_yellow_0(A)) | (~(v3_struct_0(k2_yellow_1(k9_waybel_0(A))) | (~v1_orders_2(k2_yellow_1(k9_waybel_0(A)))) | (~v2_orders_2(k2_yellow_1(k9_waybel_0(A)))) | (~v3_orders_2(k2_yellow_1(k9_waybel_0(A)))) | (~v4_orders_2(k2_yellow_1(k9_waybel_0(A)))) | (~v1_yellow_0(k2_yellow_1(k9_waybel_0(A)))) | (~v2_yellow_0(k2_yellow_1(k9_waybel_0(A)))) | (~v3_yellow_0(k2_yellow_1(k9_waybel_0(A)))) | (~v24_waybel_0(k2_yellow_1(k9_waybel_0(A)))) | (~v25_waybel_0(k2_yellow_1(k9_waybel_0(A)))) | (~v1_lattice3(k2_yellow_1(k9_waybel_0(A)))) | (~v2_lattice3(k2_yellow_1(k9_waybel_0(A)))) | (~v3_lattice3(k2_yellow_1(k9_waybel_0(A)))) | (~v3_waybel_3(k2_yellow_1(k9_waybel_0(A)))))))),
% 0.59/0.76 inference(quant_intro,[status(thm)],[113])).
% 0.59/0.76 tff(115,plain,
% 0.59/0.76 (^[A: $i] : trans(monotonicity(trans(monotonicity(rewrite(((~v3_struct_0(A)) & v2_orders_2(A) & v3_orders_2(A) & v4_orders_2(A) & v2_yellow_0(A) & v2_lattice3(A) & l1_orders_2(A)) <=> (~(v3_struct_0(A) | (~l1_orders_2(A)) | (~v2_lattice3(A)) | (~v2_orders_2(A)) | (~v3_orders_2(A)) | (~v4_orders_2(A)) | (~v2_yellow_0(A))))), ((~((~v3_struct_0(A)) & v2_orders_2(A) & v3_orders_2(A) & v4_orders_2(A) & v2_yellow_0(A) & v2_lattice3(A) & l1_orders_2(A))) <=> (~(~(v3_struct_0(A) | (~l1_orders_2(A)) | (~v2_lattice3(A)) | (~v2_orders_2(A)) | (~v3_orders_2(A)) | (~v4_orders_2(A)) | (~v2_yellow_0(A))))))), rewrite((~(~(v3_struct_0(A) | (~l1_orders_2(A)) | (~v2_lattice3(A)) | (~v2_orders_2(A)) | (~v3_orders_2(A)) | (~v4_orders_2(A)) | (~v2_yellow_0(A))))) <=> (v3_struct_0(A) | (~l1_orders_2(A)) | (~v2_lattice3(A)) | (~v2_orders_2(A)) | (~v3_orders_2(A)) | (~v4_orders_2(A)) | (~v2_yellow_0(A)))), ((~((~v3_struct_0(A)) & v2_orders_2(A) & v3_orders_2(A) & v4_orders_2(A) & v2_yellow_0(A) & v2_lattice3(A) & l1_orders_2(A))) <=> (v3_struct_0(A) | (~l1_orders_2(A)) | (~v2_lattice3(A)) | (~v2_orders_2(A)) | (~v3_orders_2(A)) | (~v4_orders_2(A)) | (~v2_yellow_0(A))))), rewrite(((~v3_struct_0(k2_yellow_1(k9_waybel_0(A)))) & v1_orders_2(k2_yellow_1(k9_waybel_0(A))) & v2_orders_2(k2_yellow_1(k9_waybel_0(A))) & v3_orders_2(k2_yellow_1(k9_waybel_0(A))) & v4_orders_2(k2_yellow_1(k9_waybel_0(A))) & v1_yellow_0(k2_yellow_1(k9_waybel_0(A))) & v2_yellow_0(k2_yellow_1(k9_waybel_0(A))) & v3_yellow_0(k2_yellow_1(k9_waybel_0(A))) & v24_waybel_0(k2_yellow_1(k9_waybel_0(A))) & v25_waybel_0(k2_yellow_1(k9_waybel_0(A))) & v1_lattice3(k2_yellow_1(k9_waybel_0(A))) & v2_lattice3(k2_yellow_1(k9_waybel_0(A))) & v3_lattice3(k2_yellow_1(k9_waybel_0(A))) & v3_waybel_3(k2_yellow_1(k9_waybel_0(A)))) <=> (~(v3_struct_0(k2_yellow_1(k9_waybel_0(A))) | (~v1_orders_2(k2_yellow_1(k9_waybel_0(A)))) | (~v2_orders_2(k2_yellow_1(k9_waybel_0(A)))) | (~v3_orders_2(k2_yellow_1(k9_waybel_0(A)))) | (~v4_orders_2(k2_yellow_1(k9_waybel_0(A)))) | (~v1_yellow_0(k2_yellow_1(k9_waybel_0(A)))) | (~v2_yellow_0(k2_yellow_1(k9_waybel_0(A)))) | (~v3_yellow_0(k2_yellow_1(k9_waybel_0(A)))) | (~v24_waybel_0(k2_yellow_1(k9_waybel_0(A)))) | (~v25_waybel_0(k2_yellow_1(k9_waybel_0(A)))) | (~v1_lattice3(k2_yellow_1(k9_waybel_0(A)))) | (~v2_lattice3(k2_yellow_1(k9_waybel_0(A)))) | (~v3_lattice3(k2_yellow_1(k9_waybel_0(A)))) | (~v3_waybel_3(k2_yellow_1(k9_waybel_0(A))))))), (((~((~v3_struct_0(A)) & v2_orders_2(A) & v3_orders_2(A) & v4_orders_2(A) & v2_yellow_0(A) & v2_lattice3(A) & l1_orders_2(A))) | ((~v3_struct_0(k2_yellow_1(k9_waybel_0(A)))) & v1_orders_2(k2_yellow_1(k9_waybel_0(A))) & v2_orders_2(k2_yellow_1(k9_waybel_0(A))) & v3_orders_2(k2_yellow_1(k9_waybel_0(A))) & v4_orders_2(k2_yellow_1(k9_waybel_0(A))) & v1_yellow_0(k2_yellow_1(k9_waybel_0(A))) & v2_yellow_0(k2_yellow_1(k9_waybel_0(A))) & v3_yellow_0(k2_yellow_1(k9_waybel_0(A))) & v24_waybel_0(k2_yellow_1(k9_waybel_0(A))) & v25_waybel_0(k2_yellow_1(k9_waybel_0(A))) & v1_lattice3(k2_yellow_1(k9_waybel_0(A))) & v2_lattice3(k2_yellow_1(k9_waybel_0(A))) & v3_lattice3(k2_yellow_1(k9_waybel_0(A))) & v3_waybel_3(k2_yellow_1(k9_waybel_0(A))))) <=> ((v3_struct_0(A) | (~l1_orders_2(A)) | (~v2_lattice3(A)) | (~v2_orders_2(A)) | (~v3_orders_2(A)) | (~v4_orders_2(A)) | (~v2_yellow_0(A))) | (~(v3_struct_0(k2_yellow_1(k9_waybel_0(A))) | (~v1_orders_2(k2_yellow_1(k9_waybel_0(A)))) | (~v2_orders_2(k2_yellow_1(k9_waybel_0(A)))) | (~v3_orders_2(k2_yellow_1(k9_waybel_0(A)))) | (~v4_orders_2(k2_yellow_1(k9_waybel_0(A)))) | (~v1_yellow_0(k2_yellow_1(k9_waybel_0(A)))) | (~v2_yellow_0(k2_yellow_1(k9_waybel_0(A)))) | (~v3_yellow_0(k2_yellow_1(k9_waybel_0(A)))) | (~v24_waybel_0(k2_yellow_1(k9_waybel_0(A)))) | (~v25_waybel_0(k2_yellow_1(k9_waybel_0(A)))) | (~v1_lattice3(k2_yellow_1(k9_waybel_0(A)))) | (~v2_lattice3(k2_yellow_1(k9_waybel_0(A)))) | (~v3_lattice3(k2_yellow_1(k9_waybel_0(A)))) | (~v3_waybel_3(k2_yellow_1(k9_waybel_0(A))))))))), rewrite(((v3_struct_0(A) | (~l1_orders_2(A)) | (~v2_lattice3(A)) | (~v2_orders_2(A)) | (~v3_orders_2(A)) | (~v4_orders_2(A)) | (~v2_yellow_0(A))) | (~(v3_struct_0(k2_yellow_1(k9_waybel_0(A))) | (~v1_orders_2(k2_yellow_1(k9_waybel_0(A)))) | (~v2_orders_2(k2_yellow_1(k9_waybel_0(A)))) | (~v3_orders_2(k2_yellow_1(k9_waybel_0(A)))) | (~v4_orders_2(k2_yellow_1(k9_waybel_0(A)))) | (~v1_yellow_0(k2_yellow_1(k9_waybel_0(A)))) | (~v2_yellow_0(k2_yellow_1(k9_waybel_0(A)))) | (~v3_yellow_0(k2_yellow_1(k9_waybel_0(A)))) | (~v24_waybel_0(k2_yellow_1(k9_waybel_0(A)))) | (~v25_waybel_0(k2_yellow_1(k9_waybel_0(A)))) | (~v1_lattice3(k2_yellow_1(k9_waybel_0(A)))) | (~v2_lattice3(k2_yellow_1(k9_waybel_0(A)))) | (~v3_lattice3(k2_yellow_1(k9_waybel_0(A)))) | (~v3_waybel_3(k2_yellow_1(k9_waybel_0(A))))))) <=> (v3_struct_0(A) | (~l1_orders_2(A)) | (~v2_lattice3(A)) | (~v2_orders_2(A)) | (~v3_orders_2(A)) | (~v4_orders_2(A)) | (~v2_yellow_0(A)) | (~(v3_struct_0(k2_yellow_1(k9_waybel_0(A))) | (~v1_orders_2(k2_yellow_1(k9_waybel_0(A)))) | (~v2_orders_2(k2_yellow_1(k9_waybel_0(A)))) | (~v3_orders_2(k2_yellow_1(k9_waybel_0(A)))) | (~v4_orders_2(k2_yellow_1(k9_waybel_0(A)))) | (~v1_yellow_0(k2_yellow_1(k9_waybel_0(A)))) | (~v2_yellow_0(k2_yellow_1(k9_waybel_0(A)))) | (~v3_yellow_0(k2_yellow_1(k9_waybel_0(A)))) | (~v24_waybel_0(k2_yellow_1(k9_waybel_0(A)))) | (~v25_waybel_0(k2_yellow_1(k9_waybel_0(A)))) | (~v1_lattice3(k2_yellow_1(k9_waybel_0(A)))) | (~v2_lattice3(k2_yellow_1(k9_waybel_0(A)))) | (~v3_lattice3(k2_yellow_1(k9_waybel_0(A)))) | (~v3_waybel_3(k2_yellow_1(k9_waybel_0(A)))))))), (((~((~v3_struct_0(A)) & v2_orders_2(A) & v3_orders_2(A) & v4_orders_2(A) & v2_yellow_0(A) & v2_lattice3(A) & l1_orders_2(A))) | ((~v3_struct_0(k2_yellow_1(k9_waybel_0(A)))) & v1_orders_2(k2_yellow_1(k9_waybel_0(A))) & v2_orders_2(k2_yellow_1(k9_waybel_0(A))) & v3_orders_2(k2_yellow_1(k9_waybel_0(A))) & v4_orders_2(k2_yellow_1(k9_waybel_0(A))) & v1_yellow_0(k2_yellow_1(k9_waybel_0(A))) & v2_yellow_0(k2_yellow_1(k9_waybel_0(A))) & v3_yellow_0(k2_yellow_1(k9_waybel_0(A))) & v24_waybel_0(k2_yellow_1(k9_waybel_0(A))) & v25_waybel_0(k2_yellow_1(k9_waybel_0(A))) & v1_lattice3(k2_yellow_1(k9_waybel_0(A))) & v2_lattice3(k2_yellow_1(k9_waybel_0(A))) & v3_lattice3(k2_yellow_1(k9_waybel_0(A))) & v3_waybel_3(k2_yellow_1(k9_waybel_0(A))))) <=> (v3_struct_0(A) | (~l1_orders_2(A)) | (~v2_lattice3(A)) | (~v2_orders_2(A)) | (~v3_orders_2(A)) | (~v4_orders_2(A)) | (~v2_yellow_0(A)) | (~(v3_struct_0(k2_yellow_1(k9_waybel_0(A))) | (~v1_orders_2(k2_yellow_1(k9_waybel_0(A)))) | (~v2_orders_2(k2_yellow_1(k9_waybel_0(A)))) | (~v3_orders_2(k2_yellow_1(k9_waybel_0(A)))) | (~v4_orders_2(k2_yellow_1(k9_waybel_0(A)))) | (~v1_yellow_0(k2_yellow_1(k9_waybel_0(A)))) | (~v2_yellow_0(k2_yellow_1(k9_waybel_0(A)))) | (~v3_yellow_0(k2_yellow_1(k9_waybel_0(A)))) | (~v24_waybel_0(k2_yellow_1(k9_waybel_0(A)))) | (~v25_waybel_0(k2_yellow_1(k9_waybel_0(A)))) | (~v1_lattice3(k2_yellow_1(k9_waybel_0(A)))) | (~v2_lattice3(k2_yellow_1(k9_waybel_0(A)))) | (~v3_lattice3(k2_yellow_1(k9_waybel_0(A)))) | (~v3_waybel_3(k2_yellow_1(k9_waybel_0(A)))))))))),
% 0.59/0.76 inference(bind,[status(th)],[])).
% 0.59/0.76 tff(116,plain,
% 0.59/0.76 (![A: $i] : ((~((~v3_struct_0(A)) & v2_orders_2(A) & v3_orders_2(A) & v4_orders_2(A) & v2_yellow_0(A) & v2_lattice3(A) & l1_orders_2(A))) | ((~v3_struct_0(k2_yellow_1(k9_waybel_0(A)))) & v1_orders_2(k2_yellow_1(k9_waybel_0(A))) & v2_orders_2(k2_yellow_1(k9_waybel_0(A))) & v3_orders_2(k2_yellow_1(k9_waybel_0(A))) & v4_orders_2(k2_yellow_1(k9_waybel_0(A))) & v1_yellow_0(k2_yellow_1(k9_waybel_0(A))) & v2_yellow_0(k2_yellow_1(k9_waybel_0(A))) & v3_yellow_0(k2_yellow_1(k9_waybel_0(A))) & v24_waybel_0(k2_yellow_1(k9_waybel_0(A))) & v25_waybel_0(k2_yellow_1(k9_waybel_0(A))) & v1_lattice3(k2_yellow_1(k9_waybel_0(A))) & v2_lattice3(k2_yellow_1(k9_waybel_0(A))) & v3_lattice3(k2_yellow_1(k9_waybel_0(A))) & v3_waybel_3(k2_yellow_1(k9_waybel_0(A))))) <=> ![A: $i] : (v3_struct_0(A) | (~l1_orders_2(A)) | (~v2_lattice3(A)) | (~v2_orders_2(A)) | (~v3_orders_2(A)) | (~v4_orders_2(A)) | (~v2_yellow_0(A)) | (~(v3_struct_0(k2_yellow_1(k9_waybel_0(A))) | (~v1_orders_2(k2_yellow_1(k9_waybel_0(A)))) | (~v2_orders_2(k2_yellow_1(k9_waybel_0(A)))) | (~v3_orders_2(k2_yellow_1(k9_waybel_0(A)))) | (~v4_orders_2(k2_yellow_1(k9_waybel_0(A)))) | (~v1_yellow_0(k2_yellow_1(k9_waybel_0(A)))) | (~v2_yellow_0(k2_yellow_1(k9_waybel_0(A)))) | (~v3_yellow_0(k2_yellow_1(k9_waybel_0(A)))) | (~v24_waybel_0(k2_yellow_1(k9_waybel_0(A)))) | (~v25_waybel_0(k2_yellow_1(k9_waybel_0(A)))) | (~v1_lattice3(k2_yellow_1(k9_waybel_0(A)))) | (~v2_lattice3(k2_yellow_1(k9_waybel_0(A)))) | (~v3_lattice3(k2_yellow_1(k9_waybel_0(A)))) | (~v3_waybel_3(k2_yellow_1(k9_waybel_0(A)))))))),
% 0.59/0.76 inference(quant_intro,[status(thm)],[115])).
% 0.59/0.76 tff(117,plain,
% 0.59/0.76 (![A: $i] : ((~((~v3_struct_0(A)) & v2_orders_2(A) & v3_orders_2(A) & v4_orders_2(A) & v2_yellow_0(A) & v2_lattice3(A) & l1_orders_2(A))) | ((~v3_struct_0(k2_yellow_1(k9_waybel_0(A)))) & v1_orders_2(k2_yellow_1(k9_waybel_0(A))) & v2_orders_2(k2_yellow_1(k9_waybel_0(A))) & v3_orders_2(k2_yellow_1(k9_waybel_0(A))) & v4_orders_2(k2_yellow_1(k9_waybel_0(A))) & v1_yellow_0(k2_yellow_1(k9_waybel_0(A))) & v2_yellow_0(k2_yellow_1(k9_waybel_0(A))) & v3_yellow_0(k2_yellow_1(k9_waybel_0(A))) & v24_waybel_0(k2_yellow_1(k9_waybel_0(A))) & v25_waybel_0(k2_yellow_1(k9_waybel_0(A))) & v1_lattice3(k2_yellow_1(k9_waybel_0(A))) & v2_lattice3(k2_yellow_1(k9_waybel_0(A))) & v3_lattice3(k2_yellow_1(k9_waybel_0(A))) & v3_waybel_3(k2_yellow_1(k9_waybel_0(A))))) <=> ![A: $i] : ((~((~v3_struct_0(A)) & v2_orders_2(A) & v3_orders_2(A) & v4_orders_2(A) & v2_yellow_0(A) & v2_lattice3(A) & l1_orders_2(A))) | ((~v3_struct_0(k2_yellow_1(k9_waybel_0(A)))) & v1_orders_2(k2_yellow_1(k9_waybel_0(A))) & v2_orders_2(k2_yellow_1(k9_waybel_0(A))) & v3_orders_2(k2_yellow_1(k9_waybel_0(A))) & v4_orders_2(k2_yellow_1(k9_waybel_0(A))) & v1_yellow_0(k2_yellow_1(k9_waybel_0(A))) & v2_yellow_0(k2_yellow_1(k9_waybel_0(A))) & v3_yellow_0(k2_yellow_1(k9_waybel_0(A))) & v24_waybel_0(k2_yellow_1(k9_waybel_0(A))) & v25_waybel_0(k2_yellow_1(k9_waybel_0(A))) & v1_lattice3(k2_yellow_1(k9_waybel_0(A))) & v2_lattice3(k2_yellow_1(k9_waybel_0(A))) & v3_lattice3(k2_yellow_1(k9_waybel_0(A))) & v3_waybel_3(k2_yellow_1(k9_waybel_0(A)))))),
% 0.59/0.76 inference(rewrite,[status(thm)],[])).
% 0.59/0.76 tff(118,plain,
% 0.59/0.76 (^[A: $i] : trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(rewrite((((~v3_struct_0(A)) & v2_orders_2(A)) & v3_orders_2(A)) <=> ((~v3_struct_0(A)) & v2_orders_2(A) & v3_orders_2(A))), (((((~v3_struct_0(A)) & v2_orders_2(A)) & v3_orders_2(A)) & v4_orders_2(A)) <=> (((~v3_struct_0(A)) & v2_orders_2(A) & v3_orders_2(A)) & v4_orders_2(A)))), rewrite((((~v3_struct_0(A)) & v2_orders_2(A) & v3_orders_2(A)) & v4_orders_2(A)) <=> ((~v3_struct_0(A)) & v2_orders_2(A) & v3_orders_2(A) & v4_orders_2(A))), (((((~v3_struct_0(A)) & v2_orders_2(A)) & v3_orders_2(A)) & v4_orders_2(A)) <=> ((~v3_struct_0(A)) & v2_orders_2(A) & v3_orders_2(A) & v4_orders_2(A)))), ((((((~v3_struct_0(A)) & v2_orders_2(A)) & v3_orders_2(A)) & v4_orders_2(A)) & v2_yellow_0(A)) <=> (((~v3_struct_0(A)) & v2_orders_2(A) & v3_orders_2(A) & v4_orders_2(A)) & v2_yellow_0(A)))), rewrite((((~v3_struct_0(A)) & v2_orders_2(A) & v3_orders_2(A) & v4_orders_2(A)) & v2_yellow_0(A)) <=> ((~v3_struct_0(A)) & v2_orders_2(A) & v3_orders_2(A) & v4_orders_2(A) & v2_yellow_0(A))), ((((((~v3_struct_0(A)) & v2_orders_2(A)) & v3_orders_2(A)) & v4_orders_2(A)) & v2_yellow_0(A)) <=> ((~v3_struct_0(A)) & v2_orders_2(A) & v3_orders_2(A) & v4_orders_2(A) & v2_yellow_0(A)))), (((((((~v3_struct_0(A)) & v2_orders_2(A)) & v3_orders_2(A)) & v4_orders_2(A)) & v2_yellow_0(A)) & v2_lattice3(A)) <=> (((~v3_struct_0(A)) & v2_orders_2(A) & v3_orders_2(A) & v4_orders_2(A) & v2_yellow_0(A)) & v2_lattice3(A)))), rewrite((((~v3_struct_0(A)) & v2_orders_2(A) & v3_orders_2(A) & v4_orders_2(A) & v2_yellow_0(A)) & v2_lattice3(A)) <=> ((~v3_struct_0(A)) & v2_orders_2(A) & v3_orders_2(A) & v4_orders_2(A) & v2_yellow_0(A) & v2_lattice3(A))), (((((((~v3_struct_0(A)) & v2_orders_2(A)) & v3_orders_2(A)) & v4_orders_2(A)) & v2_yellow_0(A)) & v2_lattice3(A)) <=> ((~v3_struct_0(A)) & v2_orders_2(A) & v3_orders_2(A) & v4_orders_2(A) & v2_yellow_0(A) & v2_lattice3(A)))), ((((((((~v3_struct_0(A)) & v2_orders_2(A)) & v3_orders_2(A)) & v4_orders_2(A)) & v2_yellow_0(A)) & v2_lattice3(A)) & l1_orders_2(A)) <=> (((~v3_struct_0(A)) & v2_orders_2(A) & v3_orders_2(A) & v4_orders_2(A) & v2_yellow_0(A) & v2_lattice3(A)) & l1_orders_2(A)))), rewrite((((~v3_struct_0(A)) & v2_orders_2(A) & v3_orders_2(A) & v4_orders_2(A) & v2_yellow_0(A) & v2_lattice3(A)) & l1_orders_2(A)) <=> ((~v3_struct_0(A)) & v2_orders_2(A) & v3_orders_2(A) & v4_orders_2(A) & v2_yellow_0(A) & v2_lattice3(A) & l1_orders_2(A))), ((((((((~v3_struct_0(A)) & v2_orders_2(A)) & v3_orders_2(A)) & v4_orders_2(A)) & v2_yellow_0(A)) & v2_lattice3(A)) & l1_orders_2(A)) <=> ((~v3_struct_0(A)) & v2_orders_2(A) & v3_orders_2(A) & v4_orders_2(A) & v2_yellow_0(A) & v2_lattice3(A) & l1_orders_2(A)))), trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(rewrite((((~v3_struct_0(k2_yellow_1(k9_waybel_0(A)))) & v1_orders_2(k2_yellow_1(k9_waybel_0(A)))) & v2_orders_2(k2_yellow_1(k9_waybel_0(A)))) <=> ((~v3_struct_0(k2_yellow_1(k9_waybel_0(A)))) & v1_orders_2(k2_yellow_1(k9_waybel_0(A))) & v2_orders_2(k2_yellow_1(k9_waybel_0(A))))), (((((~v3_struct_0(k2_yellow_1(k9_waybel_0(A)))) & v1_orders_2(k2_yellow_1(k9_waybel_0(A)))) & v2_orders_2(k2_yellow_1(k9_waybel_0(A)))) & v3_orders_2(k2_yellow_1(k9_waybel_0(A)))) <=> (((~v3_struct_0(k2_yellow_1(k9_waybel_0(A)))) & v1_orders_2(k2_yellow_1(k9_waybel_0(A))) & v2_orders_2(k2_yellow_1(k9_waybel_0(A)))) & v3_orders_2(k2_yellow_1(k9_waybel_0(A)))))), rewrite((((~v3_struct_0(k2_yellow_1(k9_waybel_0(A)))) & v1_orders_2(k2_yellow_1(k9_waybel_0(A))) & v2_orders_2(k2_yellow_1(k9_waybel_0(A)))) & v3_orders_2(k2_yellow_1(k9_waybel_0(A)))) <=> ((~v3_struct_0(k2_yellow_1(k9_waybel_0(A)))) & v1_orders_2(k2_yellow_1(k9_waybel_0(A))) & v2_orders_2(k2_yellow_1(k9_waybel_0(A))) & v3_orders_2(k2_yellow_1(k9_waybel_0(A))))), (((((~v3_struct_0(k2_yellow_1(k9_waybel_0(A)))) & v1_orders_2(k2_yellow_1(k9_waybel_0(A)))) & v2_orders_2(k2_yellow_1(k9_waybel_0(A)))) & v3_orders_2(k2_yellow_1(k9_waybel_0(A)))) <=> ((~v3_struct_0(k2_yellow_1(k9_waybel_0(A)))) & v1_orders_2(k2_yellow_1(k9_waybel_0(A))) & v2_orders_2(k2_yellow_1(k9_waybel_0(A))) & v3_orders_2(k2_yellow_1(k9_waybel_0(A)))))), ((((((~v3_struct_0(k2_yellow_1(k9_waybel_0(A)))) & v1_orders_2(k2_yellow_1(k9_waybel_0(A)))) & v2_orders_2(k2_yellow_1(k9_waybel_0(A)))) & v3_orders_2(k2_yellow_1(k9_waybel_0(A)))) & v4_orders_2(k2_yellow_1(k9_waybel_0(A)))) <=> (((~v3_struct_0(k2_yellow_1(k9_waybel_0(A)))) & v1_orders_2(k2_yellow_1(k9_waybel_0(A))) & v2_orders_2(k2_yellow_1(k9_waybel_0(A))) & v3_orders_2(k2_yellow_1(k9_waybel_0(A)))) & v4_orders_2(k2_yellow_1(k9_waybel_0(A)))))), rewrite((((~v3_struct_0(k2_yellow_1(k9_waybel_0(A)))) & v1_orders_2(k2_yellow_1(k9_waybel_0(A))) & v2_orders_2(k2_yellow_1(k9_waybel_0(A))) & v3_orders_2(k2_yellow_1(k9_waybel_0(A)))) & v4_orders_2(k2_yellow_1(k9_waybel_0(A)))) <=> ((~v3_struct_0(k2_yellow_1(k9_waybel_0(A)))) & v1_orders_2(k2_yellow_1(k9_waybel_0(A))) & v2_orders_2(k2_yellow_1(k9_waybel_0(A))) & v3_orders_2(k2_yellow_1(k9_waybel_0(A))) & v4_orders_2(k2_yellow_1(k9_waybel_0(A))))), ((((((~v3_struct_0(k2_yellow_1(k9_waybel_0(A)))) & v1_orders_2(k2_yellow_1(k9_waybel_0(A)))) & v2_orders_2(k2_yellow_1(k9_waybel_0(A)))) & v3_orders_2(k2_yellow_1(k9_waybel_0(A)))) & v4_orders_2(k2_yellow_1(k9_waybel_0(A)))) <=> ((~v3_struct_0(k2_yellow_1(k9_waybel_0(A)))) & v1_orders_2(k2_yellow_1(k9_waybel_0(A))) & v2_orders_2(k2_yellow_1(k9_waybel_0(A))) & v3_orders_2(k2_yellow_1(k9_waybel_0(A))) & v4_orders_2(k2_yellow_1(k9_waybel_0(A)))))), (((((((~v3_struct_0(k2_yellow_1(k9_waybel_0(A)))) & v1_orders_2(k2_yellow_1(k9_waybel_0(A)))) & v2_orders_2(k2_yellow_1(k9_waybel_0(A)))) & v3_orders_2(k2_yellow_1(k9_waybel_0(A)))) & v4_orders_2(k2_yellow_1(k9_waybel_0(A)))) & v1_yellow_0(k2_yellow_1(k9_waybel_0(A)))) <=> (((~v3_struct_0(k2_yellow_1(k9_waybel_0(A)))) & v1_orders_2(k2_yellow_1(k9_waybel_0(A))) & v2_orders_2(k2_yellow_1(k9_waybel_0(A))) & v3_orders_2(k2_yellow_1(k9_waybel_0(A))) & v4_orders_2(k2_yellow_1(k9_waybel_0(A)))) & v1_yellow_0(k2_yellow_1(k9_waybel_0(A)))))), rewrite((((~v3_struct_0(k2_yellow_1(k9_waybel_0(A)))) & v1_orders_2(k2_yellow_1(k9_waybel_0(A))) & v2_orders_2(k2_yellow_1(k9_waybel_0(A))) & v3_orders_2(k2_yellow_1(k9_waybel_0(A))) & v4_orders_2(k2_yellow_1(k9_waybel_0(A)))) & v1_yellow_0(k2_yellow_1(k9_waybel_0(A)))) <=> ((~v3_struct_0(k2_yellow_1(k9_waybel_0(A)))) & v1_orders_2(k2_yellow_1(k9_waybel_0(A))) & v2_orders_2(k2_yellow_1(k9_waybel_0(A))) & v3_orders_2(k2_yellow_1(k9_waybel_0(A))) & v4_orders_2(k2_yellow_1(k9_waybel_0(A))) & v1_yellow_0(k2_yellow_1(k9_waybel_0(A))))), (((((((~v3_struct_0(k2_yellow_1(k9_waybel_0(A)))) & v1_orders_2(k2_yellow_1(k9_waybel_0(A)))) & v2_orders_2(k2_yellow_1(k9_waybel_0(A)))) & v3_orders_2(k2_yellow_1(k9_waybel_0(A)))) & v4_orders_2(k2_yellow_1(k9_waybel_0(A)))) & v1_yellow_0(k2_yellow_1(k9_waybel_0(A)))) <=> ((~v3_struct_0(k2_yellow_1(k9_waybel_0(A)))) & v1_orders_2(k2_yellow_1(k9_waybel_0(A))) & v2_orders_2(k2_yellow_1(k9_waybel_0(A))) & v3_orders_2(k2_yellow_1(k9_waybel_0(A))) & v4_orders_2(k2_yellow_1(k9_waybel_0(A))) & v1_yellow_0(k2_yellow_1(k9_waybel_0(A)))))), ((((((((~v3_struct_0(k2_yellow_1(k9_waybel_0(A)))) & v1_orders_2(k2_yellow_1(k9_waybel_0(A)))) & v2_orders_2(k2_yellow_1(k9_waybel_0(A)))) & v3_orders_2(k2_yellow_1(k9_waybel_0(A)))) & v4_orders_2(k2_yellow_1(k9_waybel_0(A)))) & v1_yellow_0(k2_yellow_1(k9_waybel_0(A)))) & v2_yellow_0(k2_yellow_1(k9_waybel_0(A)))) <=> (((~v3_struct_0(k2_yellow_1(k9_waybel_0(A)))) & v1_orders_2(k2_yellow_1(k9_waybel_0(A))) & v2_orders_2(k2_yellow_1(k9_waybel_0(A))) & v3_orders_2(k2_yellow_1(k9_waybel_0(A))) & v4_orders_2(k2_yellow_1(k9_waybel_0(A))) & v1_yellow_0(k2_yellow_1(k9_waybel_0(A)))) & v2_yellow_0(k2_yellow_1(k9_waybel_0(A)))))), rewrite((((~v3_struct_0(k2_yellow_1(k9_waybel_0(A)))) & v1_orders_2(k2_yellow_1(k9_waybel_0(A))) & v2_orders_2(k2_yellow_1(k9_waybel_0(A))) & v3_orders_2(k2_yellow_1(k9_waybel_0(A))) & v4_orders_2(k2_yellow_1(k9_waybel_0(A))) & v1_yellow_0(k2_yellow_1(k9_waybel_0(A)))) & v2_yellow_0(k2_yellow_1(k9_waybel_0(A)))) <=> ((~v3_struct_0(k2_yellow_1(k9_waybel_0(A)))) & v1_orders_2(k2_yellow_1(k9_waybel_0(A))) & v2_orders_2(k2_yellow_1(k9_waybel_0(A))) & v3_orders_2(k2_yellow_1(k9_waybel_0(A))) & v4_orders_2(k2_yellow_1(k9_waybel_0(A))) & v1_yellow_0(k2_yellow_1(k9_waybel_0(A))) & v2_yellow_0(k2_yellow_1(k9_waybel_0(A))))), ((((((((~v3_struct_0(k2_yellow_1(k9_waybel_0(A)))) & v1_orders_2(k2_yellow_1(k9_waybel_0(A)))) & v2_orders_2(k2_yellow_1(k9_waybel_0(A)))) & v3_orders_2(k2_yellow_1(k9_waybel_0(A)))) & v4_orders_2(k2_yellow_1(k9_waybel_0(A)))) & v1_yellow_0(k2_yellow_1(k9_waybel_0(A)))) & v2_yellow_0(k2_yellow_1(k9_waybel_0(A)))) <=> ((~v3_struct_0(k2_yellow_1(k9_waybel_0(A)))) & v1_orders_2(k2_yellow_1(k9_waybel_0(A))) & v2_orders_2(k2_yellow_1(k9_waybel_0(A))) & v3_orders_2(k2_yellow_1(k9_waybel_0(A))) & v4_orders_2(k2_yellow_1(k9_waybel_0(A))) & v1_yellow_0(k2_yellow_1(k9_waybel_0(A))) & v2_yellow_0(k2_yellow_1(k9_waybel_0(A)))))), (((((((((~v3_struct_0(k2_yellow_1(k9_waybel_0(A)))) & v1_orders_2(k2_yellow_1(k9_waybel_0(A)))) & v2_orders_2(k2_yellow_1(k9_waybel_0(A)))) & v3_orders_2(k2_yellow_1(k9_waybel_0(A)))) & v4_orders_2(k2_yellow_1(k9_waybel_0(A)))) & v1_yellow_0(k2_yellow_1(k9_waybel_0(A)))) & v2_yellow_0(k2_yellow_1(k9_waybel_0(A)))) & v3_yellow_0(k2_yellow_1(k9_waybel_0(A)))) <=> (((~v3_struct_0(k2_yellow_1(k9_waybel_0(A)))) & v1_orders_2(k2_yellow_1(k9_waybel_0(A))) & v2_orders_2(k2_yellow_1(k9_waybel_0(A))) & v3_orders_2(k2_yellow_1(k9_waybel_0(A))) & v4_orders_2(k2_yellow_1(k9_waybel_0(A))) & v1_yellow_0(k2_yellow_1(k9_waybel_0(A))) & v2_yellow_0(k2_yellow_1(k9_waybel_0(A)))) & v3_yellow_0(k2_yellow_1(k9_waybel_0(A)))))), rewrite((((~v3_struct_0(k2_yellow_1(k9_waybel_0(A)))) & v1_orders_2(k2_yellow_1(k9_waybel_0(A))) & v2_orders_2(k2_yellow_1(k9_waybel_0(A))) & v3_orders_2(k2_yellow_1(k9_waybel_0(A))) & v4_orders_2(k2_yellow_1(k9_waybel_0(A))) & v1_yellow_0(k2_yellow_1(k9_waybel_0(A))) & v2_yellow_0(k2_yellow_1(k9_waybel_0(A)))) & v3_yellow_0(k2_yellow_1(k9_waybel_0(A)))) <=> ((~v3_struct_0(k2_yellow_1(k9_waybel_0(A)))) & v1_orders_2(k2_yellow_1(k9_waybel_0(A))) & v2_orders_2(k2_yellow_1(k9_waybel_0(A))) & v3_orders_2(k2_yellow_1(k9_waybel_0(A))) & v4_orders_2(k2_yellow_1(k9_waybel_0(A))) & v1_yellow_0(k2_yellow_1(k9_waybel_0(A))) & v2_yellow_0(k2_yellow_1(k9_waybel_0(A))) & v3_yellow_0(k2_yellow_1(k9_waybel_0(A))))), (((((((((~v3_struct_0(k2_yellow_1(k9_waybel_0(A)))) & v1_orders_2(k2_yellow_1(k9_waybel_0(A)))) & v2_orders_2(k2_yellow_1(k9_waybel_0(A)))) & v3_orders_2(k2_yellow_1(k9_waybel_0(A)))) & v4_orders_2(k2_yellow_1(k9_waybel_0(A)))) & v1_yellow_0(k2_yellow_1(k9_waybel_0(A)))) & v2_yellow_0(k2_yellow_1(k9_waybel_0(A)))) & v3_yellow_0(k2_yellow_1(k9_waybel_0(A)))) <=> ((~v3_struct_0(k2_yellow_1(k9_waybel_0(A)))) & v1_orders_2(k2_yellow_1(k9_waybel_0(A))) & v2_orders_2(k2_yellow_1(k9_waybel_0(A))) & v3_orders_2(k2_yellow_1(k9_waybel_0(A))) & v4_orders_2(k2_yellow_1(k9_waybel_0(A))) & v1_yellow_0(k2_yellow_1(k9_waybel_0(A))) & v2_yellow_0(k2_yellow_1(k9_waybel_0(A))) & v3_yellow_0(k2_yellow_1(k9_waybel_0(A)))))), ((((((((((~v3_struct_0(k2_yellow_1(k9_waybel_0(A)))) & v1_orders_2(k2_yellow_1(k9_waybel_0(A)))) & v2_orders_2(k2_yellow_1(k9_waybel_0(A)))) & v3_orders_2(k2_yellow_1(k9_waybel_0(A)))) & v4_orders_2(k2_yellow_1(k9_waybel_0(A)))) & v1_yellow_0(k2_yellow_1(k9_waybel_0(A)))) & v2_yellow_0(k2_yellow_1(k9_waybel_0(A)))) & v3_yellow_0(k2_yellow_1(k9_waybel_0(A)))) & v24_waybel_0(k2_yellow_1(k9_waybel_0(A)))) <=> (((~v3_struct_0(k2_yellow_1(k9_waybel_0(A)))) & v1_orders_2(k2_yellow_1(k9_waybel_0(A))) & v2_orders_2(k2_yellow_1(k9_waybel_0(A))) & v3_orders_2(k2_yellow_1(k9_waybel_0(A))) & v4_orders_2(k2_yellow_1(k9_waybel_0(A))) & v1_yellow_0(k2_yellow_1(k9_waybel_0(A))) & v2_yellow_0(k2_yellow_1(k9_waybel_0(A))) & v3_yellow_0(k2_yellow_1(k9_waybel_0(A)))) & v24_waybel_0(k2_yellow_1(k9_waybel_0(A)))))), rewrite((((~v3_struct_0(k2_yellow_1(k9_waybel_0(A)))) & v1_orders_2(k2_yellow_1(k9_waybel_0(A))) & v2_orders_2(k2_yellow_1(k9_waybel_0(A))) & v3_orders_2(k2_yellow_1(k9_waybel_0(A))) & v4_orders_2(k2_yellow_1(k9_waybel_0(A))) & v1_yellow_0(k2_yellow_1(k9_waybel_0(A))) & v2_yellow_0(k2_yellow_1(k9_waybel_0(A))) & v3_yellow_0(k2_yellow_1(k9_waybel_0(A)))) & v24_waybel_0(k2_yellow_1(k9_waybel_0(A)))) <=> ((~v3_struct_0(k2_yellow_1(k9_waybel_0(A)))) & v1_orders_2(k2_yellow_1(k9_waybel_0(A))) & v2_orders_2(k2_yellow_1(k9_waybel_0(A))) & v3_orders_2(k2_yellow_1(k9_waybel_0(A))) & v4_orders_2(k2_yellow_1(k9_waybel_0(A))) & v1_yellow_0(k2_yellow_1(k9_waybel_0(A))) & v2_yellow_0(k2_yellow_1(k9_waybel_0(A))) & v3_yellow_0(k2_yellow_1(k9_waybel_0(A))) & v24_waybel_0(k2_yellow_1(k9_waybel_0(A))))), ((((((((((~v3_struct_0(k2_yellow_1(k9_waybel_0(A)))) & v1_orders_2(k2_yellow_1(k9_waybel_0(A)))) & v2_orders_2(k2_yellow_1(k9_waybel_0(A)))) & v3_orders_2(k2_yellow_1(k9_waybel_0(A)))) & v4_orders_2(k2_yellow_1(k9_waybel_0(A)))) & v1_yellow_0(k2_yellow_1(k9_waybel_0(A)))) & v2_yellow_0(k2_yellow_1(k9_waybel_0(A)))) & v3_yellow_0(k2_yellow_1(k9_waybel_0(A)))) & v24_waybel_0(k2_yellow_1(k9_waybel_0(A)))) <=> ((~v3_struct_0(k2_yellow_1(k9_waybel_0(A)))) & v1_orders_2(k2_yellow_1(k9_waybel_0(A))) & v2_orders_2(k2_yellow_1(k9_waybel_0(A))) & v3_orders_2(k2_yellow_1(k9_waybel_0(A))) & v4_orders_2(k2_yellow_1(k9_waybel_0(A))) & v1_yellow_0(k2_yellow_1(k9_waybel_0(A))) & v2_yellow_0(k2_yellow_1(k9_waybel_0(A))) & v3_yellow_0(k2_yellow_1(k9_waybel_0(A))) & v24_waybel_0(k2_yellow_1(k9_waybel_0(A)))))), (((((((((((~v3_struct_0(k2_yellow_1(k9_waybel_0(A)))) & v1_orders_2(k2_yellow_1(k9_waybel_0(A)))) & v2_orders_2(k2_yellow_1(k9_waybel_0(A)))) & v3_orders_2(k2_yellow_1(k9_waybel_0(A)))) & v4_orders_2(k2_yellow_1(k9_waybel_0(A)))) & v1_yellow_0(k2_yellow_1(k9_waybel_0(A)))) & v2_yellow_0(k2_yellow_1(k9_waybel_0(A)))) & v3_yellow_0(k2_yellow_1(k9_waybel_0(A)))) & v24_waybel_0(k2_yellow_1(k9_waybel_0(A)))) & v25_waybel_0(k2_yellow_1(k9_waybel_0(A)))) <=> (((~v3_struct_0(k2_yellow_1(k9_waybel_0(A)))) & v1_orders_2(k2_yellow_1(k9_waybel_0(A))) & v2_orders_2(k2_yellow_1(k9_waybel_0(A))) & v3_orders_2(k2_yellow_1(k9_waybel_0(A))) & v4_orders_2(k2_yellow_1(k9_waybel_0(A))) & v1_yellow_0(k2_yellow_1(k9_waybel_0(A))) & v2_yellow_0(k2_yellow_1(k9_waybel_0(A))) & v3_yellow_0(k2_yellow_1(k9_waybel_0(A))) & v24_waybel_0(k2_yellow_1(k9_waybel_0(A)))) & v25_waybel_0(k2_yellow_1(k9_waybel_0(A)))))), rewrite((((~v3_struct_0(k2_yellow_1(k9_waybel_0(A)))) & v1_orders_2(k2_yellow_1(k9_waybel_0(A))) & v2_orders_2(k2_yellow_1(k9_waybel_0(A))) & v3_orders_2(k2_yellow_1(k9_waybel_0(A))) & v4_orders_2(k2_yellow_1(k9_waybel_0(A))) & v1_yellow_0(k2_yellow_1(k9_waybel_0(A))) & v2_yellow_0(k2_yellow_1(k9_waybel_0(A))) & v3_yellow_0(k2_yellow_1(k9_waybel_0(A))) & v24_waybel_0(k2_yellow_1(k9_waybel_0(A)))) & v25_waybel_0(k2_yellow_1(k9_waybel_0(A)))) <=> ((~v3_struct_0(k2_yellow_1(k9_waybel_0(A)))) & v1_orders_2(k2_yellow_1(k9_waybel_0(A))) & v2_orders_2(k2_yellow_1(k9_waybel_0(A))) & v3_orders_2(k2_yellow_1(k9_waybel_0(A))) & v4_orders_2(k2_yellow_1(k9_waybel_0(A))) & v1_yellow_0(k2_yellow_1(k9_waybel_0(A))) & v2_yellow_0(k2_yellow_1(k9_waybel_0(A))) & v3_yellow_0(k2_yellow_1(k9_waybel_0(A))) & v24_waybel_0(k2_yellow_1(k9_waybel_0(A))) & v25_waybel_0(k2_yellow_1(k9_waybel_0(A))))), (((((((((((~v3_struct_0(k2_yellow_1(k9_waybel_0(A)))) & v1_orders_2(k2_yellow_1(k9_waybel_0(A)))) & v2_orders_2(k2_yellow_1(k9_waybel_0(A)))) & v3_orders_2(k2_yellow_1(k9_waybel_0(A)))) & v4_orders_2(k2_yellow_1(k9_waybel_0(A)))) & v1_yellow_0(k2_yellow_1(k9_waybel_0(A)))) & v2_yellow_0(k2_yellow_1(k9_waybel_0(A)))) & v3_yellow_0(k2_yellow_1(k9_waybel_0(A)))) & v24_waybel_0(k2_yellow_1(k9_waybel_0(A)))) & v25_waybel_0(k2_yellow_1(k9_waybel_0(A)))) <=> ((~v3_struct_0(k2_yellow_1(k9_waybel_0(A)))) & v1_orders_2(k2_yellow_1(k9_waybel_0(A))) & v2_orders_2(k2_yellow_1(k9_waybel_0(A))) & v3_orders_2(k2_yellow_1(k9_waybel_0(A))) & v4_orders_2(k2_yellow_1(k9_waybel_0(A))) & v1_yellow_0(k2_yellow_1(k9_waybel_0(A))) & v2_yellow_0(k2_yellow_1(k9_waybel_0(A))) & v3_yellow_0(k2_yellow_1(k9_waybel_0(A))) & v24_waybel_0(k2_yellow_1(k9_waybel_0(A))) & v25_waybel_0(k2_yellow_1(k9_waybel_0(A)))))), ((((((((((((~v3_struct_0(k2_yellow_1(k9_waybel_0(A)))) & v1_orders_2(k2_yellow_1(k9_waybel_0(A)))) & v2_orders_2(k2_yellow_1(k9_waybel_0(A)))) & v3_orders_2(k2_yellow_1(k9_waybel_0(A)))) & v4_orders_2(k2_yellow_1(k9_waybel_0(A)))) & v1_yellow_0(k2_yellow_1(k9_waybel_0(A)))) & v2_yellow_0(k2_yellow_1(k9_waybel_0(A)))) & v3_yellow_0(k2_yellow_1(k9_waybel_0(A)))) & v24_waybel_0(k2_yellow_1(k9_waybel_0(A)))) & v25_waybel_0(k2_yellow_1(k9_waybel_0(A)))) & v1_lattice3(k2_yellow_1(k9_waybel_0(A)))) <=> (((~v3_struct_0(k2_yellow_1(k9_waybel_0(A)))) & v1_orders_2(k2_yellow_1(k9_waybel_0(A))) & v2_orders_2(k2_yellow_1(k9_waybel_0(A))) & v3_orders_2(k2_yellow_1(k9_waybel_0(A))) & v4_orders_2(k2_yellow_1(k9_waybel_0(A))) & v1_yellow_0(k2_yellow_1(k9_waybel_0(A))) & v2_yellow_0(k2_yellow_1(k9_waybel_0(A))) & v3_yellow_0(k2_yellow_1(k9_waybel_0(A))) & v24_waybel_0(k2_yellow_1(k9_waybel_0(A))) & v25_waybel_0(k2_yellow_1(k9_waybel_0(A)))) & v1_lattice3(k2_yellow_1(k9_waybel_0(A)))))), rewrite((((~v3_struct_0(k2_yellow_1(k9_waybel_0(A)))) & v1_orders_2(k2_yellow_1(k9_waybel_0(A))) & v2_orders_2(k2_yellow_1(k9_waybel_0(A))) & v3_orders_2(k2_yellow_1(k9_waybel_0(A))) & v4_orders_2(k2_yellow_1(k9_waybel_0(A))) & v1_yellow_0(k2_yellow_1(k9_waybel_0(A))) & v2_yellow_0(k2_yellow_1(k9_waybel_0(A))) & v3_yellow_0(k2_yellow_1(k9_waybel_0(A))) & v24_waybel_0(k2_yellow_1(k9_waybel_0(A))) & v25_waybel_0(k2_yellow_1(k9_waybel_0(A)))) & v1_lattice3(k2_yellow_1(k9_waybel_0(A)))) <=> ((~v3_struct_0(k2_yellow_1(k9_waybel_0(A)))) & v1_orders_2(k2_yellow_1(k9_waybel_0(A))) & v2_orders_2(k2_yellow_1(k9_waybel_0(A))) & v3_orders_2(k2_yellow_1(k9_waybel_0(A))) & v4_orders_2(k2_yellow_1(k9_waybel_0(A))) & v1_yellow_0(k2_yellow_1(k9_waybel_0(A))) & v2_yellow_0(k2_yellow_1(k9_waybel_0(A))) & v3_yellow_0(k2_yellow_1(k9_waybel_0(A))) & v24_waybel_0(k2_yellow_1(k9_waybel_0(A))) & v25_waybel_0(k2_yellow_1(k9_waybel_0(A))) & v1_lattice3(k2_yellow_1(k9_waybel_0(A))))), ((((((((((((~v3_struct_0(k2_yellow_1(k9_waybel_0(A)))) & v1_orders_2(k2_yellow_1(k9_waybel_0(A)))) & v2_orders_2(k2_yellow_1(k9_waybel_0(A)))) & v3_orders_2(k2_yellow_1(k9_waybel_0(A)))) & v4_orders_2(k2_yellow_1(k9_waybel_0(A)))) & v1_yellow_0(k2_yellow_1(k9_waybel_0(A)))) & v2_yellow_0(k2_yellow_1(k9_waybel_0(A)))) & v3_yellow_0(k2_yellow_1(k9_waybel_0(A)))) & v24_waybel_0(k2_yellow_1(k9_waybel_0(A)))) & v25_waybel_0(k2_yellow_1(k9_waybel_0(A)))) & v1_lattice3(k2_yellow_1(k9_waybel_0(A)))) <=> ((~v3_struct_0(k2_yellow_1(k9_waybel_0(A)))) & v1_orders_2(k2_yellow_1(k9_waybel_0(A))) & v2_orders_2(k2_yellow_1(k9_waybel_0(A))) & v3_orders_2(k2_yellow_1(k9_waybel_0(A))) & v4_orders_2(k2_yellow_1(k9_waybel_0(A))) & v1_yellow_0(k2_yellow_1(k9_waybel_0(A))) & v2_yellow_0(k2_yellow_1(k9_waybel_0(A))) & v3_yellow_0(k2_yellow_1(k9_waybel_0(A))) & v24_waybel_0(k2_yellow_1(k9_waybel_0(A))) & v25_waybel_0(k2_yellow_1(k9_waybel_0(A))) & v1_lattice3(k2_yellow_1(k9_waybel_0(A)))))), (((((((((((((~v3_struct_0(k2_yellow_1(k9_waybel_0(A)))) & v1_orders_2(k2_yellow_1(k9_waybel_0(A)))) & v2_orders_2(k2_yellow_1(k9_waybel_0(A)))) & v3_orders_2(k2_yellow_1(k9_waybel_0(A)))) & v4_orders_2(k2_yellow_1(k9_waybel_0(A)))) & v1_yellow_0(k2_yellow_1(k9_waybel_0(A)))) & v2_yellow_0(k2_yellow_1(k9_waybel_0(A)))) & v3_yellow_0(k2_yellow_1(k9_waybel_0(A)))) & v24_waybel_0(k2_yellow_1(k9_waybel_0(A)))) & v25_waybel_0(k2_yellow_1(k9_waybel_0(A)))) & v1_lattice3(k2_yellow_1(k9_waybel_0(A)))) & v2_lattice3(k2_yellow_1(k9_waybel_0(A)))) <=> (((~v3_struct_0(k2_yellow_1(k9_waybel_0(A)))) & v1_orders_2(k2_yellow_1(k9_waybel_0(A))) & v2_orders_2(k2_yellow_1(k9_waybel_0(A))) & v3_orders_2(k2_yellow_1(k9_waybel_0(A))) & v4_orders_2(k2_yellow_1(k9_waybel_0(A))) & v1_yellow_0(k2_yellow_1(k9_waybel_0(A))) & v2_yellow_0(k2_yellow_1(k9_waybel_0(A))) & v3_yellow_0(k2_yellow_1(k9_waybel_0(A))) & v24_waybel_0(k2_yellow_1(k9_waybel_0(A))) & v25_waybel_0(k2_yellow_1(k9_waybel_0(A))) & v1_lattice3(k2_yellow_1(k9_waybel_0(A)))) & v2_lattice3(k2_yellow_1(k9_waybel_0(A)))))), rewrite((((~v3_struct_0(k2_yellow_1(k9_waybel_0(A)))) & v1_orders_2(k2_yellow_1(k9_waybel_0(A))) & v2_orders_2(k2_yellow_1(k9_waybel_0(A))) & v3_orders_2(k2_yellow_1(k9_waybel_0(A))) & v4_orders_2(k2_yellow_1(k9_waybel_0(A))) & v1_yellow_0(k2_yellow_1(k9_waybel_0(A))) & v2_yellow_0(k2_yellow_1(k9_waybel_0(A))) & v3_yellow_0(k2_yellow_1(k9_waybel_0(A))) & v24_waybel_0(k2_yellow_1(k9_waybel_0(A))) & v25_waybel_0(k2_yellow_1(k9_waybel_0(A))) & v1_lattice3(k2_yellow_1(k9_waybel_0(A)))) & v2_lattice3(k2_yellow_1(k9_waybel_0(A)))) <=> ((~v3_struct_0(k2_yellow_1(k9_waybel_0(A)))) & v1_orders_2(k2_yellow_1(k9_waybel_0(A))) & v2_orders_2(k2_yellow_1(k9_waybel_0(A))) & v3_orders_2(k2_yellow_1(k9_waybel_0(A))) & v4_orders_2(k2_yellow_1(k9_waybel_0(A))) & v1_yellow_0(k2_yellow_1(k9_waybel_0(A))) & v2_yellow_0(k2_yellow_1(k9_waybel_0(A))) & v3_yellow_0(k2_yellow_1(k9_waybel_0(A))) & v24_waybel_0(k2_yellow_1(k9_waybel_0(A))) & v25_waybel_0(k2_yellow_1(k9_waybel_0(A))) & v1_lattice3(k2_yellow_1(k9_waybel_0(A))) & v2_lattice3(k2_yellow_1(k9_waybel_0(A))))), (((((((((((((~v3_struct_0(k2_yellow_1(k9_waybel_0(A)))) & v1_orders_2(k2_yellow_1(k9_waybel_0(A)))) & v2_orders_2(k2_yellow_1(k9_waybel_0(A)))) & v3_orders_2(k2_yellow_1(k9_waybel_0(A)))) & v4_orders_2(k2_yellow_1(k9_waybel_0(A)))) & v1_yellow_0(k2_yellow_1(k9_waybel_0(A)))) & v2_yellow_0(k2_yellow_1(k9_waybel_0(A)))) & v3_yellow_0(k2_yellow_1(k9_waybel_0(A)))) & v24_waybel_0(k2_yellow_1(k9_waybel_0(A)))) & v25_waybel_0(k2_yellow_1(k9_waybel_0(A)))) & v1_lattice3(k2_yellow_1(k9_waybel_0(A)))) & v2_lattice3(k2_yellow_1(k9_waybel_0(A)))) <=> ((~v3_struct_0(k2_yellow_1(k9_waybel_0(A)))) & v1_orders_2(k2_yellow_1(k9_waybel_0(A))) & v2_orders_2(k2_yellow_1(k9_waybel_0(A))) & v3_orders_2(k2_yellow_1(k9_waybel_0(A))) & v4_orders_2(k2_yellow_1(k9_waybel_0(A))) & v1_yellow_0(k2_yellow_1(k9_waybel_0(A))) & v2_yellow_0(k2_yellow_1(k9_waybel_0(A))) & v3_yellow_0(k2_yellow_1(k9_waybel_0(A))) & v24_waybel_0(k2_yellow_1(k9_waybel_0(A))) & v25_waybel_0(k2_yellow_1(k9_waybel_0(A))) & v1_lattice3(k2_yellow_1(k9_waybel_0(A))) & v2_lattice3(k2_yellow_1(k9_waybel_0(A)))))), ((((((((((((((~v3_struct_0(k2_yellow_1(k9_waybel_0(A)))) & v1_orders_2(k2_yellow_1(k9_waybel_0(A)))) & v2_orders_2(k2_yellow_1(k9_waybel_0(A)))) & v3_orders_2(k2_yellow_1(k9_waybel_0(A)))) & v4_orders_2(k2_yellow_1(k9_waybel_0(A)))) & v1_yellow_0(k2_yellow_1(k9_waybel_0(A)))) & v2_yellow_0(k2_yellow_1(k9_waybel_0(A)))) & v3_yellow_0(k2_yellow_1(k9_waybel_0(A)))) & v24_waybel_0(k2_yellow_1(k9_waybel_0(A)))) & v25_waybel_0(k2_yellow_1(k9_waybel_0(A)))) & v1_lattice3(k2_yellow_1(k9_waybel_0(A)))) & v2_lattice3(k2_yellow_1(k9_waybel_0(A)))) & v3_lattice3(k2_yellow_1(k9_waybel_0(A)))) <=> (((~v3_struct_0(k2_yellow_1(k9_waybel_0(A)))) & v1_orders_2(k2_yellow_1(k9_waybel_0(A))) & v2_orders_2(k2_yellow_1(k9_waybel_0(A))) & v3_orders_2(k2_yellow_1(k9_waybel_0(A))) & v4_orders_2(k2_yellow_1(k9_waybel_0(A))) & v1_yellow_0(k2_yellow_1(k9_waybel_0(A))) & v2_yellow_0(k2_yellow_1(k9_waybel_0(A))) & v3_yellow_0(k2_yellow_1(k9_waybel_0(A))) & v24_waybel_0(k2_yellow_1(k9_waybel_0(A))) & v25_waybel_0(k2_yellow_1(k9_waybel_0(A))) & v1_lattice3(k2_yellow_1(k9_waybel_0(A))) & v2_lattice3(k2_yellow_1(k9_waybel_0(A)))) & v3_lattice3(k2_yellow_1(k9_waybel_0(A)))))), rewrite((((~v3_struct_0(k2_yellow_1(k9_waybel_0(A)))) & v1_orders_2(k2_yellow_1(k9_waybel_0(A))) & v2_orders_2(k2_yellow_1(k9_waybel_0(A))) & v3_orders_2(k2_yellow_1(k9_waybel_0(A))) & v4_orders_2(k2_yellow_1(k9_waybel_0(A))) & v1_yellow_0(k2_yellow_1(k9_waybel_0(A))) & v2_yellow_0(k2_yellow_1(k9_waybel_0(A))) & v3_yellow_0(k2_yellow_1(k9_waybel_0(A))) & v24_waybel_0(k2_yellow_1(k9_waybel_0(A))) & v25_waybel_0(k2_yellow_1(k9_waybel_0(A))) & v1_lattice3(k2_yellow_1(k9_waybel_0(A))) & v2_lattice3(k2_yellow_1(k9_waybel_0(A)))) & v3_lattice3(k2_yellow_1(k9_waybel_0(A)))) <=> ((~v3_struct_0(k2_yellow_1(k9_waybel_0(A)))) & v1_orders_2(k2_yellow_1(k9_waybel_0(A))) & v2_orders_2(k2_yellow_1(k9_waybel_0(A))) & v3_orders_2(k2_yellow_1(k9_waybel_0(A))) & v4_orders_2(k2_yellow_1(k9_waybel_0(A))) & v1_yellow_0(k2_yellow_1(k9_waybel_0(A))) & v2_yellow_0(k2_yellow_1(k9_waybel_0(A))) & v3_yellow_0(k2_yellow_1(k9_waybel_0(A))) & v24_waybel_0(k2_yellow_1(k9_waybel_0(A))) & v25_waybel_0(k2_yellow_1(k9_waybel_0(A))) & v1_lattice3(k2_yellow_1(k9_waybel_0(A))) & v2_lattice3(k2_yellow_1(k9_waybel_0(A))) & v3_lattice3(k2_yellow_1(k9_waybel_0(A))))), ((((((((((((((~v3_struct_0(k2_yellow_1(k9_waybel_0(A)))) & v1_orders_2(k2_yellow_1(k9_waybel_0(A)))) & v2_orders_2(k2_yellow_1(k9_waybel_0(A)))) & v3_orders_2(k2_yellow_1(k9_waybel_0(A)))) & v4_orders_2(k2_yellow_1(k9_waybel_0(A)))) & v1_yellow_0(k2_yellow_1(k9_waybel_0(A)))) & v2_yellow_0(k2_yellow_1(k9_waybel_0(A)))) & v3_yellow_0(k2_yellow_1(k9_waybel_0(A)))) & v24_waybel_0(k2_yellow_1(k9_waybel_0(A)))) & v25_waybel_0(k2_yellow_1(k9_waybel_0(A)))) & v1_lattice3(k2_yellow_1(k9_waybel_0(A)))) & v2_lattice3(k2_yellow_1(k9_waybel_0(A)))) & v3_lattice3(k2_yellow_1(k9_waybel_0(A)))) <=> ((~v3_struct_0(k2_yellow_1(k9_waybel_0(A)))) & v1_orders_2(k2_yellow_1(k9_waybel_0(A))) & v2_orders_2(k2_yellow_1(k9_waybel_0(A))) & v3_orders_2(k2_yellow_1(k9_waybel_0(A))) & v4_orders_2(k2_yellow_1(k9_waybel_0(A))) & v1_yellow_0(k2_yellow_1(k9_waybel_0(A))) & v2_yellow_0(k2_yellow_1(k9_waybel_0(A))) & v3_yellow_0(k2_yellow_1(k9_waybel_0(A))) & v24_waybel_0(k2_yellow_1(k9_waybel_0(A))) & v25_waybel_0(k2_yellow_1(k9_waybel_0(A))) & v1_lattice3(k2_yellow_1(k9_waybel_0(A))) & v2_lattice3(k2_yellow_1(k9_waybel_0(A))) & v3_lattice3(k2_yellow_1(k9_waybel_0(A)))))), (((((((((((((((~v3_struct_0(k2_yellow_1(k9_waybel_0(A)))) & v1_orders_2(k2_yellow_1(k9_waybel_0(A)))) & v2_orders_2(k2_yellow_1(k9_waybel_0(A)))) & v3_orders_2(k2_yellow_1(k9_waybel_0(A)))) & v4_orders_2(k2_yellow_1(k9_waybel_0(A)))) & v1_yellow_0(k2_yellow_1(k9_waybel_0(A)))) & v2_yellow_0(k2_yellow_1(k9_waybel_0(A)))) & v3_yellow_0(k2_yellow_1(k9_waybel_0(A)))) & v24_waybel_0(k2_yellow_1(k9_waybel_0(A)))) & v25_waybel_0(k2_yellow_1(k9_waybel_0(A)))) & v1_lattice3(k2_yellow_1(k9_waybel_0(A)))) & v2_lattice3(k2_yellow_1(k9_waybel_0(A)))) & v3_lattice3(k2_yellow_1(k9_waybel_0(A)))) & v3_waybel_3(k2_yellow_1(k9_waybel_0(A)))) <=> (((~v3_struct_0(k2_yellow_1(k9_waybel_0(A)))) & v1_orders_2(k2_yellow_1(k9_waybel_0(A))) & v2_orders_2(k2_yellow_1(k9_waybel_0(A))) & v3_orders_2(k2_yellow_1(k9_waybel_0(A))) & v4_orders_2(k2_yellow_1(k9_waybel_0(A))) & v1_yellow_0(k2_yellow_1(k9_waybel_0(A))) & v2_yellow_0(k2_yellow_1(k9_waybel_0(A))) & v3_yellow_0(k2_yellow_1(k9_waybel_0(A))) & v24_waybel_0(k2_yellow_1(k9_waybel_0(A))) & v25_waybel_0(k2_yellow_1(k9_waybel_0(A))) & v1_lattice3(k2_yellow_1(k9_waybel_0(A))) & v2_lattice3(k2_yellow_1(k9_waybel_0(A))) & v3_lattice3(k2_yellow_1(k9_waybel_0(A)))) & v3_waybel_3(k2_yellow_1(k9_waybel_0(A)))))), rewrite((((~v3_struct_0(k2_yellow_1(k9_waybel_0(A)))) & v1_orders_2(k2_yellow_1(k9_waybel_0(A))) & v2_orders_2(k2_yellow_1(k9_waybel_0(A))) & v3_orders_2(k2_yellow_1(k9_waybel_0(A))) & v4_orders_2(k2_yellow_1(k9_waybel_0(A))) & v1_yellow_0(k2_yellow_1(k9_waybel_0(A))) & v2_yellow_0(k2_yellow_1(k9_waybel_0(A))) & v3_yellow_0(k2_yellow_1(k9_waybel_0(A))) & v24_waybel_0(k2_yellow_1(k9_waybel_0(A))) & v25_waybel_0(k2_yellow_1(k9_waybel_0(A))) & v1_lattice3(k2_yellow_1(k9_waybel_0(A))) & v2_lattice3(k2_yellow_1(k9_waybel_0(A))) & v3_lattice3(k2_yellow_1(k9_waybel_0(A)))) & v3_waybel_3(k2_yellow_1(k9_waybel_0(A)))) <=> ((~v3_struct_0(k2_yellow_1(k9_waybel_0(A)))) & v1_orders_2(k2_yellow_1(k9_waybel_0(A))) & v2_orders_2(k2_yellow_1(k9_waybel_0(A))) & v3_orders_2(k2_yellow_1(k9_waybel_0(A))) & v4_orders_2(k2_yellow_1(k9_waybel_0(A))) & v1_yellow_0(k2_yellow_1(k9_waybel_0(A))) & v2_yellow_0(k2_yellow_1(k9_waybel_0(A))) & v3_yellow_0(k2_yellow_1(k9_waybel_0(A))) & v24_waybel_0(k2_yellow_1(k9_waybel_0(A))) & v25_waybel_0(k2_yellow_1(k9_waybel_0(A))) & v1_lattice3(k2_yellow_1(k9_waybel_0(A))) & v2_lattice3(k2_yellow_1(k9_waybel_0(A))) & v3_lattice3(k2_yellow_1(k9_waybel_0(A))) & v3_waybel_3(k2_yellow_1(k9_waybel_0(A))))), (((((((((((((((~v3_struct_0(k2_yellow_1(k9_waybel_0(A)))) & v1_orders_2(k2_yellow_1(k9_waybel_0(A)))) & v2_orders_2(k2_yellow_1(k9_waybel_0(A)))) & v3_orders_2(k2_yellow_1(k9_waybel_0(A)))) & v4_orders_2(k2_yellow_1(k9_waybel_0(A)))) & v1_yellow_0(k2_yellow_1(k9_waybel_0(A)))) & v2_yellow_0(k2_yellow_1(k9_waybel_0(A)))) & v3_yellow_0(k2_yellow_1(k9_waybel_0(A)))) & v24_waybel_0(k2_yellow_1(k9_waybel_0(A)))) & v25_waybel_0(k2_yellow_1(k9_waybel_0(A)))) & v1_lattice3(k2_yellow_1(k9_waybel_0(A)))) & v2_lattice3(k2_yellow_1(k9_waybel_0(A)))) & v3_lattice3(k2_yellow_1(k9_waybel_0(A)))) & v3_waybel_3(k2_yellow_1(k9_waybel_0(A)))) <=> ((~v3_struct_0(k2_yellow_1(k9_waybel_0(A)))) & v1_orders_2(k2_yellow_1(k9_waybel_0(A))) & v2_orders_2(k2_yellow_1(k9_waybel_0(A))) & v3_orders_2(k2_yellow_1(k9_waybel_0(A))) & v4_orders_2(k2_yellow_1(k9_waybel_0(A))) & v1_yellow_0(k2_yellow_1(k9_waybel_0(A))) & v2_yellow_0(k2_yellow_1(k9_waybel_0(A))) & v3_yellow_0(k2_yellow_1(k9_waybel_0(A))) & v24_waybel_0(k2_yellow_1(k9_waybel_0(A))) & v25_waybel_0(k2_yellow_1(k9_waybel_0(A))) & v1_lattice3(k2_yellow_1(k9_waybel_0(A))) & v2_lattice3(k2_yellow_1(k9_waybel_0(A))) & v3_lattice3(k2_yellow_1(k9_waybel_0(A))) & v3_waybel_3(k2_yellow_1(k9_waybel_0(A)))))), (((((((((~v3_struct_0(A)) & v2_orders_2(A)) & v3_orders_2(A)) & v4_orders_2(A)) & v2_yellow_0(A)) & v2_lattice3(A)) & l1_orders_2(A)) => ((((((((((((((~v3_struct_0(k2_yellow_1(k9_waybel_0(A)))) & v1_orders_2(k2_yellow_1(k9_waybel_0(A)))) & v2_orders_2(k2_yellow_1(k9_waybel_0(A)))) & v3_orders_2(k2_yellow_1(k9_waybel_0(A)))) & v4_orders_2(k2_yellow_1(k9_waybel_0(A)))) & v1_yellow_0(k2_yellow_1(k9_waybel_0(A)))) & v2_yellow_0(k2_yellow_1(k9_waybel_0(A)))) & v3_yellow_0(k2_yellow_1(k9_waybel_0(A)))) & v24_waybel_0(k2_yellow_1(k9_waybel_0(A)))) & v25_waybel_0(k2_yellow_1(k9_waybel_0(A)))) & v1_lattice3(k2_yellow_1(k9_waybel_0(A)))) & v2_lattice3(k2_yellow_1(k9_waybel_0(A)))) & v3_lattice3(k2_yellow_1(k9_waybel_0(A)))) & v3_waybel_3(k2_yellow_1(k9_waybel_0(A))))) <=> (((~v3_struct_0(A)) & v2_orders_2(A) & v3_orders_2(A) & v4_orders_2(A) & v2_yellow_0(A) & v2_lattice3(A) & l1_orders_2(A)) => ((~v3_struct_0(k2_yellow_1(k9_waybel_0(A)))) & v1_orders_2(k2_yellow_1(k9_waybel_0(A))) & v2_orders_2(k2_yellow_1(k9_waybel_0(A))) & v3_orders_2(k2_yellow_1(k9_waybel_0(A))) & v4_orders_2(k2_yellow_1(k9_waybel_0(A))) & v1_yellow_0(k2_yellow_1(k9_waybel_0(A))) & v2_yellow_0(k2_yellow_1(k9_waybel_0(A))) & v3_yellow_0(k2_yellow_1(k9_waybel_0(A))) & v24_waybel_0(k2_yellow_1(k9_waybel_0(A))) & v25_waybel_0(k2_yellow_1(k9_waybel_0(A))) & v1_lattice3(k2_yellow_1(k9_waybel_0(A))) & v2_lattice3(k2_yellow_1(k9_waybel_0(A))) & v3_lattice3(k2_yellow_1(k9_waybel_0(A))) & v3_waybel_3(k2_yellow_1(k9_waybel_0(A))))))), rewrite((((~v3_struct_0(A)) & v2_orders_2(A) & v3_orders_2(A) & v4_orders_2(A) & v2_yellow_0(A) & v2_lattice3(A) & l1_orders_2(A)) => ((~v3_struct_0(k2_yellow_1(k9_waybel_0(A)))) & v1_orders_2(k2_yellow_1(k9_waybel_0(A))) & v2_orders_2(k2_yellow_1(k9_waybel_0(A))) & v3_orders_2(k2_yellow_1(k9_waybel_0(A))) & v4_orders_2(k2_yellow_1(k9_waybel_0(A))) & v1_yellow_0(k2_yellow_1(k9_waybel_0(A))) & v2_yellow_0(k2_yellow_1(k9_waybel_0(A))) & v3_yellow_0(k2_yellow_1(k9_waybel_0(A))) & v24_waybel_0(k2_yellow_1(k9_waybel_0(A))) & v25_waybel_0(k2_yellow_1(k9_waybel_0(A))) & v1_lattice3(k2_yellow_1(k9_waybel_0(A))) & v2_lattice3(k2_yellow_1(k9_waybel_0(A))) & v3_lattice3(k2_yellow_1(k9_waybel_0(A))) & v3_waybel_3(k2_yellow_1(k9_waybel_0(A))))) <=> ((~((~v3_struct_0(A)) & v2_orders_2(A) & v3_orders_2(A) & v4_orders_2(A) & v2_yellow_0(A) & v2_lattice3(A) & l1_orders_2(A))) | ((~v3_struct_0(k2_yellow_1(k9_waybel_0(A)))) & v1_orders_2(k2_yellow_1(k9_waybel_0(A))) & v2_orders_2(k2_yellow_1(k9_waybel_0(A))) & v3_orders_2(k2_yellow_1(k9_waybel_0(A))) & v4_orders_2(k2_yellow_1(k9_waybel_0(A))) & v1_yellow_0(k2_yellow_1(k9_waybel_0(A))) & v2_yellow_0(k2_yellow_1(k9_waybel_0(A))) & v3_yellow_0(k2_yellow_1(k9_waybel_0(A))) & v24_waybel_0(k2_yellow_1(k9_waybel_0(A))) & v25_waybel_0(k2_yellow_1(k9_waybel_0(A))) & v1_lattice3(k2_yellow_1(k9_waybel_0(A))) & v2_lattice3(k2_yellow_1(k9_waybel_0(A))) & v3_lattice3(k2_yellow_1(k9_waybel_0(A))) & v3_waybel_3(k2_yellow_1(k9_waybel_0(A)))))), (((((((((~v3_struct_0(A)) & v2_orders_2(A)) & v3_orders_2(A)) & v4_orders_2(A)) & v2_yellow_0(A)) & v2_lattice3(A)) & l1_orders_2(A)) => ((((((((((((((~v3_struct_0(k2_yellow_1(k9_waybel_0(A)))) & v1_orders_2(k2_yellow_1(k9_waybel_0(A)))) & v2_orders_2(k2_yellow_1(k9_waybel_0(A)))) & v3_orders_2(k2_yellow_1(k9_waybel_0(A)))) & v4_orders_2(k2_yellow_1(k9_waybel_0(A)))) & v1_yellow_0(k2_yellow_1(k9_waybel_0(A)))) & v2_yellow_0(k2_yellow_1(k9_waybel_0(A)))) & v3_yellow_0(k2_yellow_1(k9_waybel_0(A)))) & v24_waybel_0(k2_yellow_1(k9_waybel_0(A)))) & v25_waybel_0(k2_yellow_1(k9_waybel_0(A)))) & v1_lattice3(k2_yellow_1(k9_waybel_0(A)))) & v2_lattice3(k2_yellow_1(k9_waybel_0(A)))) & v3_lattice3(k2_yellow_1(k9_waybel_0(A)))) & v3_waybel_3(k2_yellow_1(k9_waybel_0(A))))) <=> ((~((~v3_struct_0(A)) & v2_orders_2(A) & v3_orders_2(A) & v4_orders_2(A) & v2_yellow_0(A) & v2_lattice3(A) & l1_orders_2(A))) | ((~v3_struct_0(k2_yellow_1(k9_waybel_0(A)))) & v1_orders_2(k2_yellow_1(k9_waybel_0(A))) & v2_orders_2(k2_yellow_1(k9_waybel_0(A))) & v3_orders_2(k2_yellow_1(k9_waybel_0(A))) & v4_orders_2(k2_yellow_1(k9_waybel_0(A))) & v1_yellow_0(k2_yellow_1(k9_waybel_0(A))) & v2_yellow_0(k2_yellow_1(k9_waybel_0(A))) & v3_yellow_0(k2_yellow_1(k9_waybel_0(A))) & v24_waybel_0(k2_yellow_1(k9_waybel_0(A))) & v25_waybel_0(k2_yellow_1(k9_waybel_0(A))) & v1_lattice3(k2_yellow_1(k9_waybel_0(A))) & v2_lattice3(k2_yellow_1(k9_waybel_0(A))) & v3_lattice3(k2_yellow_1(k9_waybel_0(A))) & v3_waybel_3(k2_yellow_1(k9_waybel_0(A)))))))),
% 0.60/0.76 inference(bind,[status(th)],[])).
% 0.60/0.76 tff(119,plain,
% 0.60/0.76 (![A: $i] : ((((((((~v3_struct_0(A)) & v2_orders_2(A)) & v3_orders_2(A)) & v4_orders_2(A)) & v2_yellow_0(A)) & v2_lattice3(A)) & l1_orders_2(A)) => ((((((((((((((~v3_struct_0(k2_yellow_1(k9_waybel_0(A)))) & v1_orders_2(k2_yellow_1(k9_waybel_0(A)))) & v2_orders_2(k2_yellow_1(k9_waybel_0(A)))) & v3_orders_2(k2_yellow_1(k9_waybel_0(A)))) & v4_orders_2(k2_yellow_1(k9_waybel_0(A)))) & v1_yellow_0(k2_yellow_1(k9_waybel_0(A)))) & v2_yellow_0(k2_yellow_1(k9_waybel_0(A)))) & v3_yellow_0(k2_yellow_1(k9_waybel_0(A)))) & v24_waybel_0(k2_yellow_1(k9_waybel_0(A)))) & v25_waybel_0(k2_yellow_1(k9_waybel_0(A)))) & v1_lattice3(k2_yellow_1(k9_waybel_0(A)))) & v2_lattice3(k2_yellow_1(k9_waybel_0(A)))) & v3_lattice3(k2_yellow_1(k9_waybel_0(A)))) & v3_waybel_3(k2_yellow_1(k9_waybel_0(A))))) <=> ![A: $i] : ((~((~v3_struct_0(A)) & v2_orders_2(A) & v3_orders_2(A) & v4_orders_2(A) & v2_yellow_0(A) & v2_lattice3(A) & l1_orders_2(A))) | ((~v3_struct_0(k2_yellow_1(k9_waybel_0(A)))) & v1_orders_2(k2_yellow_1(k9_waybel_0(A))) & v2_orders_2(k2_yellow_1(k9_waybel_0(A))) & v3_orders_2(k2_yellow_1(k9_waybel_0(A))) & v4_orders_2(k2_yellow_1(k9_waybel_0(A))) & v1_yellow_0(k2_yellow_1(k9_waybel_0(A))) & v2_yellow_0(k2_yellow_1(k9_waybel_0(A))) & v3_yellow_0(k2_yellow_1(k9_waybel_0(A))) & v24_waybel_0(k2_yellow_1(k9_waybel_0(A))) & v25_waybel_0(k2_yellow_1(k9_waybel_0(A))) & v1_lattice3(k2_yellow_1(k9_waybel_0(A))) & v2_lattice3(k2_yellow_1(k9_waybel_0(A))) & v3_lattice3(k2_yellow_1(k9_waybel_0(A))) & v3_waybel_3(k2_yellow_1(k9_waybel_0(A)))))),
% 0.60/0.77 inference(quant_intro,[status(thm)],[118])).
% 0.60/0.77 tff(120,axiom,(![A: $i] : ((((((((~v3_struct_0(A)) & v2_orders_2(A)) & v3_orders_2(A)) & v4_orders_2(A)) & v2_yellow_0(A)) & v2_lattice3(A)) & l1_orders_2(A)) => ((((((((((((((~v3_struct_0(k2_yellow_1(k9_waybel_0(A)))) & v1_orders_2(k2_yellow_1(k9_waybel_0(A)))) & v2_orders_2(k2_yellow_1(k9_waybel_0(A)))) & v3_orders_2(k2_yellow_1(k9_waybel_0(A)))) & v4_orders_2(k2_yellow_1(k9_waybel_0(A)))) & v1_yellow_0(k2_yellow_1(k9_waybel_0(A)))) & v2_yellow_0(k2_yellow_1(k9_waybel_0(A)))) & v3_yellow_0(k2_yellow_1(k9_waybel_0(A)))) & v24_waybel_0(k2_yellow_1(k9_waybel_0(A)))) & v25_waybel_0(k2_yellow_1(k9_waybel_0(A)))) & v1_lattice3(k2_yellow_1(k9_waybel_0(A)))) & v2_lattice3(k2_yellow_1(k9_waybel_0(A)))) & v3_lattice3(k2_yellow_1(k9_waybel_0(A)))) & v3_waybel_3(k2_yellow_1(k9_waybel_0(A)))))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','fc1_waybel22')).
% 0.60/0.77 tff(121,plain,
% 0.60/0.77 (![A: $i] : ((~((~v3_struct_0(A)) & v2_orders_2(A) & v3_orders_2(A) & v4_orders_2(A) & v2_yellow_0(A) & v2_lattice3(A) & l1_orders_2(A))) | ((~v3_struct_0(k2_yellow_1(k9_waybel_0(A)))) & v1_orders_2(k2_yellow_1(k9_waybel_0(A))) & v2_orders_2(k2_yellow_1(k9_waybel_0(A))) & v3_orders_2(k2_yellow_1(k9_waybel_0(A))) & v4_orders_2(k2_yellow_1(k9_waybel_0(A))) & v1_yellow_0(k2_yellow_1(k9_waybel_0(A))) & v2_yellow_0(k2_yellow_1(k9_waybel_0(A))) & v3_yellow_0(k2_yellow_1(k9_waybel_0(A))) & v24_waybel_0(k2_yellow_1(k9_waybel_0(A))) & v25_waybel_0(k2_yellow_1(k9_waybel_0(A))) & v1_lattice3(k2_yellow_1(k9_waybel_0(A))) & v2_lattice3(k2_yellow_1(k9_waybel_0(A))) & v3_lattice3(k2_yellow_1(k9_waybel_0(A))) & v3_waybel_3(k2_yellow_1(k9_waybel_0(A)))))),
% 0.60/0.77 inference(modus_ponens,[status(thm)],[120, 119])).
% 0.60/0.77 tff(122,plain,
% 0.60/0.77 (![A: $i] : ((~((~v3_struct_0(A)) & v2_orders_2(A) & v3_orders_2(A) & v4_orders_2(A) & v2_yellow_0(A) & v2_lattice3(A) & l1_orders_2(A))) | ((~v3_struct_0(k2_yellow_1(k9_waybel_0(A)))) & v1_orders_2(k2_yellow_1(k9_waybel_0(A))) & v2_orders_2(k2_yellow_1(k9_waybel_0(A))) & v3_orders_2(k2_yellow_1(k9_waybel_0(A))) & v4_orders_2(k2_yellow_1(k9_waybel_0(A))) & v1_yellow_0(k2_yellow_1(k9_waybel_0(A))) & v2_yellow_0(k2_yellow_1(k9_waybel_0(A))) & v3_yellow_0(k2_yellow_1(k9_waybel_0(A))) & v24_waybel_0(k2_yellow_1(k9_waybel_0(A))) & v25_waybel_0(k2_yellow_1(k9_waybel_0(A))) & v1_lattice3(k2_yellow_1(k9_waybel_0(A))) & v2_lattice3(k2_yellow_1(k9_waybel_0(A))) & v3_lattice3(k2_yellow_1(k9_waybel_0(A))) & v3_waybel_3(k2_yellow_1(k9_waybel_0(A)))))),
% 0.60/0.77 inference(modus_ponens,[status(thm)],[121, 117])).
% 0.60/0.77 tff(123,plain,(
% 0.60/0.77 ![A: $i] : ((~((~v3_struct_0(A)) & v2_orders_2(A) & v3_orders_2(A) & v4_orders_2(A) & v2_yellow_0(A) & v2_lattice3(A) & l1_orders_2(A))) | ((~v3_struct_0(k2_yellow_1(k9_waybel_0(A)))) & v1_orders_2(k2_yellow_1(k9_waybel_0(A))) & v2_orders_2(k2_yellow_1(k9_waybel_0(A))) & v3_orders_2(k2_yellow_1(k9_waybel_0(A))) & v4_orders_2(k2_yellow_1(k9_waybel_0(A))) & v1_yellow_0(k2_yellow_1(k9_waybel_0(A))) & v2_yellow_0(k2_yellow_1(k9_waybel_0(A))) & v3_yellow_0(k2_yellow_1(k9_waybel_0(A))) & v24_waybel_0(k2_yellow_1(k9_waybel_0(A))) & v25_waybel_0(k2_yellow_1(k9_waybel_0(A))) & v1_lattice3(k2_yellow_1(k9_waybel_0(A))) & v2_lattice3(k2_yellow_1(k9_waybel_0(A))) & v3_lattice3(k2_yellow_1(k9_waybel_0(A))) & v3_waybel_3(k2_yellow_1(k9_waybel_0(A)))))),
% 0.60/0.77 inference(skolemize,[status(sab)],[122])).
% 0.60/0.77 tff(124,plain,
% 0.60/0.77 (![A: $i] : (v3_struct_0(A) | (~l1_orders_2(A)) | (~v2_lattice3(A)) | (~v2_orders_2(A)) | (~v3_orders_2(A)) | (~v4_orders_2(A)) | (~v2_yellow_0(A)) | (~(v3_struct_0(k2_yellow_1(k9_waybel_0(A))) | (~v1_orders_2(k2_yellow_1(k9_waybel_0(A)))) | (~v2_orders_2(k2_yellow_1(k9_waybel_0(A)))) | (~v3_orders_2(k2_yellow_1(k9_waybel_0(A)))) | (~v4_orders_2(k2_yellow_1(k9_waybel_0(A)))) | (~v1_yellow_0(k2_yellow_1(k9_waybel_0(A)))) | (~v2_yellow_0(k2_yellow_1(k9_waybel_0(A)))) | (~v3_yellow_0(k2_yellow_1(k9_waybel_0(A)))) | (~v24_waybel_0(k2_yellow_1(k9_waybel_0(A)))) | (~v25_waybel_0(k2_yellow_1(k9_waybel_0(A)))) | (~v1_lattice3(k2_yellow_1(k9_waybel_0(A)))) | (~v2_lattice3(k2_yellow_1(k9_waybel_0(A)))) | (~v3_lattice3(k2_yellow_1(k9_waybel_0(A)))) | (~v3_waybel_3(k2_yellow_1(k9_waybel_0(A)))))))),
% 0.60/0.77 inference(modus_ponens,[status(thm)],[123, 116])).
% 0.60/0.77 tff(125,plain,
% 0.60/0.77 (![A: $i] : (v3_struct_0(A) | (~l1_orders_2(A)) | (~v2_lattice3(A)) | (~v2_orders_2(A)) | (~v3_orders_2(A)) | (~v4_orders_2(A)) | (~v2_yellow_0(A)) | (~(v3_struct_0(k2_yellow_1(k9_waybel_0(A))) | (~v1_orders_2(k2_yellow_1(k9_waybel_0(A)))) | (~v2_orders_2(k2_yellow_1(k9_waybel_0(A)))) | (~v3_orders_2(k2_yellow_1(k9_waybel_0(A)))) | (~v4_orders_2(k2_yellow_1(k9_waybel_0(A)))) | (~v1_yellow_0(k2_yellow_1(k9_waybel_0(A)))) | (~v2_yellow_0(k2_yellow_1(k9_waybel_0(A)))) | (~v3_yellow_0(k2_yellow_1(k9_waybel_0(A)))) | (~v24_waybel_0(k2_yellow_1(k9_waybel_0(A)))) | (~v25_waybel_0(k2_yellow_1(k9_waybel_0(A)))) | (~v1_lattice3(k2_yellow_1(k9_waybel_0(A)))) | (~v2_lattice3(k2_yellow_1(k9_waybel_0(A)))) | (~v3_lattice3(k2_yellow_1(k9_waybel_0(A)))) | (~v3_waybel_3(k2_yellow_1(k9_waybel_0(A)))))))),
% 0.60/0.77 inference(modus_ponens,[status(thm)],[124, 114])).
% 0.60/0.77 tff(126,plain,
% 0.60/0.77 (((~![A: $i] : (v3_struct_0(A) | (~l1_orders_2(A)) | (~v2_lattice3(A)) | (~v2_orders_2(A)) | (~v3_orders_2(A)) | (~v4_orders_2(A)) | (~v2_yellow_0(A)) | (~(v3_struct_0(k2_yellow_1(k9_waybel_0(A))) | (~v1_orders_2(k2_yellow_1(k9_waybel_0(A)))) | (~v2_orders_2(k2_yellow_1(k9_waybel_0(A)))) | (~v3_orders_2(k2_yellow_1(k9_waybel_0(A)))) | (~v4_orders_2(k2_yellow_1(k9_waybel_0(A)))) | (~v1_yellow_0(k2_yellow_1(k9_waybel_0(A)))) | (~v2_yellow_0(k2_yellow_1(k9_waybel_0(A)))) | (~v3_yellow_0(k2_yellow_1(k9_waybel_0(A)))) | (~v24_waybel_0(k2_yellow_1(k9_waybel_0(A)))) | (~v25_waybel_0(k2_yellow_1(k9_waybel_0(A)))) | (~v1_lattice3(k2_yellow_1(k9_waybel_0(A)))) | (~v2_lattice3(k2_yellow_1(k9_waybel_0(A)))) | (~v3_lattice3(k2_yellow_1(k9_waybel_0(A)))) | (~v3_waybel_3(k2_yellow_1(k9_waybel_0(A)))))))) | ((~l1_orders_2(k3_yellow_1(A!1))) | (~v2_lattice3(k3_yellow_1(A!1))) | (~v2_orders_2(k3_yellow_1(A!1))) | (~v3_orders_2(k3_yellow_1(A!1))) | (~v4_orders_2(k3_yellow_1(A!1))) | (~v2_yellow_0(k3_yellow_1(A!1))) | v3_struct_0(k3_yellow_1(A!1)) | (~(v3_struct_0(k2_yellow_1(k9_waybel_0(k3_yellow_1(A!1)))) | (~v1_orders_2(k2_yellow_1(k9_waybel_0(k3_yellow_1(A!1))))) | (~v2_orders_2(k2_yellow_1(k9_waybel_0(k3_yellow_1(A!1))))) | (~v3_orders_2(k2_yellow_1(k9_waybel_0(k3_yellow_1(A!1))))) | (~v4_orders_2(k2_yellow_1(k9_waybel_0(k3_yellow_1(A!1))))) | (~v1_yellow_0(k2_yellow_1(k9_waybel_0(k3_yellow_1(A!1))))) | (~v24_waybel_0(k2_yellow_1(k9_waybel_0(k3_yellow_1(A!1))))) | (~v25_waybel_0(k2_yellow_1(k9_waybel_0(k3_yellow_1(A!1))))) | (~v2_lattice3(k2_yellow_1(k9_waybel_0(k3_yellow_1(A!1))))) | (~v3_lattice3(k2_yellow_1(k9_waybel_0(k3_yellow_1(A!1))))) | (~v2_yellow_0(k2_yellow_1(k9_waybel_0(k3_yellow_1(A!1))))) | (~v3_yellow_0(k2_yellow_1(k9_waybel_0(k3_yellow_1(A!1))))) | (~v1_lattice3(k2_yellow_1(k9_waybel_0(k3_yellow_1(A!1))))) | (~v3_waybel_3(k2_yellow_1(k9_waybel_0(k3_yellow_1(A!1))))))))) <=> ((~![A: $i] : (v3_struct_0(A) | (~l1_orders_2(A)) | (~v2_lattice3(A)) | (~v2_orders_2(A)) | (~v3_orders_2(A)) | (~v4_orders_2(A)) | (~v2_yellow_0(A)) | (~(v3_struct_0(k2_yellow_1(k9_waybel_0(A))) | (~v1_orders_2(k2_yellow_1(k9_waybel_0(A)))) | (~v2_orders_2(k2_yellow_1(k9_waybel_0(A)))) | (~v3_orders_2(k2_yellow_1(k9_waybel_0(A)))) | (~v4_orders_2(k2_yellow_1(k9_waybel_0(A)))) | (~v1_yellow_0(k2_yellow_1(k9_waybel_0(A)))) | (~v2_yellow_0(k2_yellow_1(k9_waybel_0(A)))) | (~v3_yellow_0(k2_yellow_1(k9_waybel_0(A)))) | (~v24_waybel_0(k2_yellow_1(k9_waybel_0(A)))) | (~v25_waybel_0(k2_yellow_1(k9_waybel_0(A)))) | (~v1_lattice3(k2_yellow_1(k9_waybel_0(A)))) | (~v2_lattice3(k2_yellow_1(k9_waybel_0(A)))) | (~v3_lattice3(k2_yellow_1(k9_waybel_0(A)))) | (~v3_waybel_3(k2_yellow_1(k9_waybel_0(A)))))))) | (~l1_orders_2(k3_yellow_1(A!1))) | (~v2_lattice3(k3_yellow_1(A!1))) | (~v2_orders_2(k3_yellow_1(A!1))) | (~v3_orders_2(k3_yellow_1(A!1))) | (~v4_orders_2(k3_yellow_1(A!1))) | (~v2_yellow_0(k3_yellow_1(A!1))) | v3_struct_0(k3_yellow_1(A!1)) | (~(v3_struct_0(k2_yellow_1(k9_waybel_0(k3_yellow_1(A!1)))) | (~v1_orders_2(k2_yellow_1(k9_waybel_0(k3_yellow_1(A!1))))) | (~v2_orders_2(k2_yellow_1(k9_waybel_0(k3_yellow_1(A!1))))) | (~v3_orders_2(k2_yellow_1(k9_waybel_0(k3_yellow_1(A!1))))) | (~v4_orders_2(k2_yellow_1(k9_waybel_0(k3_yellow_1(A!1))))) | (~v1_yellow_0(k2_yellow_1(k9_waybel_0(k3_yellow_1(A!1))))) | (~v24_waybel_0(k2_yellow_1(k9_waybel_0(k3_yellow_1(A!1))))) | (~v25_waybel_0(k2_yellow_1(k9_waybel_0(k3_yellow_1(A!1))))) | (~v2_lattice3(k2_yellow_1(k9_waybel_0(k3_yellow_1(A!1))))) | (~v3_lattice3(k2_yellow_1(k9_waybel_0(k3_yellow_1(A!1))))) | (~v2_yellow_0(k2_yellow_1(k9_waybel_0(k3_yellow_1(A!1))))) | (~v3_yellow_0(k2_yellow_1(k9_waybel_0(k3_yellow_1(A!1))))) | (~v1_lattice3(k2_yellow_1(k9_waybel_0(k3_yellow_1(A!1))))) | (~v3_waybel_3(k2_yellow_1(k9_waybel_0(k3_yellow_1(A!1))))))))),
% 0.60/0.77 inference(rewrite,[status(thm)],[])).
% 0.60/0.77 tff(127,plain,
% 0.60/0.77 ((v3_struct_0(k3_yellow_1(A!1)) | (~l1_orders_2(k3_yellow_1(A!1))) | (~v2_lattice3(k3_yellow_1(A!1))) | (~v2_orders_2(k3_yellow_1(A!1))) | (~v3_orders_2(k3_yellow_1(A!1))) | (~v4_orders_2(k3_yellow_1(A!1))) | (~v2_yellow_0(k3_yellow_1(A!1))) | (~(v3_struct_0(k2_yellow_1(k9_waybel_0(k3_yellow_1(A!1)))) | (~v1_orders_2(k2_yellow_1(k9_waybel_0(k3_yellow_1(A!1))))) | (~v2_orders_2(k2_yellow_1(k9_waybel_0(k3_yellow_1(A!1))))) | (~v3_orders_2(k2_yellow_1(k9_waybel_0(k3_yellow_1(A!1))))) | (~v4_orders_2(k2_yellow_1(k9_waybel_0(k3_yellow_1(A!1))))) | (~v1_yellow_0(k2_yellow_1(k9_waybel_0(k3_yellow_1(A!1))))) | (~v24_waybel_0(k2_yellow_1(k9_waybel_0(k3_yellow_1(A!1))))) | (~v25_waybel_0(k2_yellow_1(k9_waybel_0(k3_yellow_1(A!1))))) | (~v2_lattice3(k2_yellow_1(k9_waybel_0(k3_yellow_1(A!1))))) | (~v3_lattice3(k2_yellow_1(k9_waybel_0(k3_yellow_1(A!1))))) | (~v2_yellow_0(k2_yellow_1(k9_waybel_0(k3_yellow_1(A!1))))) | (~v3_yellow_0(k2_yellow_1(k9_waybel_0(k3_yellow_1(A!1))))) | (~v1_lattice3(k2_yellow_1(k9_waybel_0(k3_yellow_1(A!1))))) | (~v3_waybel_3(k2_yellow_1(k9_waybel_0(k3_yellow_1(A!1)))))))) <=> ((~l1_orders_2(k3_yellow_1(A!1))) | (~v2_lattice3(k3_yellow_1(A!1))) | (~v2_orders_2(k3_yellow_1(A!1))) | (~v3_orders_2(k3_yellow_1(A!1))) | (~v4_orders_2(k3_yellow_1(A!1))) | (~v2_yellow_0(k3_yellow_1(A!1))) | v3_struct_0(k3_yellow_1(A!1)) | (~(v3_struct_0(k2_yellow_1(k9_waybel_0(k3_yellow_1(A!1)))) | (~v1_orders_2(k2_yellow_1(k9_waybel_0(k3_yellow_1(A!1))))) | (~v2_orders_2(k2_yellow_1(k9_waybel_0(k3_yellow_1(A!1))))) | (~v3_orders_2(k2_yellow_1(k9_waybel_0(k3_yellow_1(A!1))))) | (~v4_orders_2(k2_yellow_1(k9_waybel_0(k3_yellow_1(A!1))))) | (~v1_yellow_0(k2_yellow_1(k9_waybel_0(k3_yellow_1(A!1))))) | (~v24_waybel_0(k2_yellow_1(k9_waybel_0(k3_yellow_1(A!1))))) | (~v25_waybel_0(k2_yellow_1(k9_waybel_0(k3_yellow_1(A!1))))) | (~v2_lattice3(k2_yellow_1(k9_waybel_0(k3_yellow_1(A!1))))) | (~v3_lattice3(k2_yellow_1(k9_waybel_0(k3_yellow_1(A!1))))) | (~v2_yellow_0(k2_yellow_1(k9_waybel_0(k3_yellow_1(A!1))))) | (~v3_yellow_0(k2_yellow_1(k9_waybel_0(k3_yellow_1(A!1))))) | (~v1_lattice3(k2_yellow_1(k9_waybel_0(k3_yellow_1(A!1))))) | (~v3_waybel_3(k2_yellow_1(k9_waybel_0(k3_yellow_1(A!1))))))))),
% 0.60/0.77 inference(rewrite,[status(thm)],[])).
% 0.60/0.77 tff(128,plain,
% 0.60/0.77 ((~(v3_struct_0(k2_yellow_1(k9_waybel_0(k3_yellow_1(A!1)))) | (~v1_orders_2(k2_yellow_1(k9_waybel_0(k3_yellow_1(A!1))))) | (~v2_orders_2(k2_yellow_1(k9_waybel_0(k3_yellow_1(A!1))))) | (~v3_orders_2(k2_yellow_1(k9_waybel_0(k3_yellow_1(A!1))))) | (~v4_orders_2(k2_yellow_1(k9_waybel_0(k3_yellow_1(A!1))))) | (~v1_yellow_0(k2_yellow_1(k9_waybel_0(k3_yellow_1(A!1))))) | (~v2_yellow_0(k2_yellow_1(k9_waybel_0(k3_yellow_1(A!1))))) | (~v3_yellow_0(k2_yellow_1(k9_waybel_0(k3_yellow_1(A!1))))) | (~v24_waybel_0(k2_yellow_1(k9_waybel_0(k3_yellow_1(A!1))))) | (~v25_waybel_0(k2_yellow_1(k9_waybel_0(k3_yellow_1(A!1))))) | (~v1_lattice3(k2_yellow_1(k9_waybel_0(k3_yellow_1(A!1))))) | (~v2_lattice3(k2_yellow_1(k9_waybel_0(k3_yellow_1(A!1))))) | (~v3_lattice3(k2_yellow_1(k9_waybel_0(k3_yellow_1(A!1))))) | (~v3_waybel_3(k2_yellow_1(k9_waybel_0(k3_yellow_1(A!1))))))) <=> (~(v3_struct_0(k2_yellow_1(k9_waybel_0(k3_yellow_1(A!1)))) | (~v1_orders_2(k2_yellow_1(k9_waybel_0(k3_yellow_1(A!1))))) | (~v2_orders_2(k2_yellow_1(k9_waybel_0(k3_yellow_1(A!1))))) | (~v3_orders_2(k2_yellow_1(k9_waybel_0(k3_yellow_1(A!1))))) | (~v4_orders_2(k2_yellow_1(k9_waybel_0(k3_yellow_1(A!1))))) | (~v1_yellow_0(k2_yellow_1(k9_waybel_0(k3_yellow_1(A!1))))) | (~v24_waybel_0(k2_yellow_1(k9_waybel_0(k3_yellow_1(A!1))))) | (~v25_waybel_0(k2_yellow_1(k9_waybel_0(k3_yellow_1(A!1))))) | (~v2_lattice3(k2_yellow_1(k9_waybel_0(k3_yellow_1(A!1))))) | (~v3_lattice3(k2_yellow_1(k9_waybel_0(k3_yellow_1(A!1))))) | (~v2_yellow_0(k2_yellow_1(k9_waybel_0(k3_yellow_1(A!1))))) | (~v3_yellow_0(k2_yellow_1(k9_waybel_0(k3_yellow_1(A!1))))) | (~v1_lattice3(k2_yellow_1(k9_waybel_0(k3_yellow_1(A!1))))) | (~v3_waybel_3(k2_yellow_1(k9_waybel_0(k3_yellow_1(A!1)))))))),
% 0.60/0.77 inference(rewrite,[status(thm)],[])).
% 0.60/0.77 tff(129,plain,
% 0.60/0.77 ((v3_struct_0(k3_yellow_1(A!1)) | (~l1_orders_2(k3_yellow_1(A!1))) | (~v2_lattice3(k3_yellow_1(A!1))) | (~v2_orders_2(k3_yellow_1(A!1))) | (~v3_orders_2(k3_yellow_1(A!1))) | (~v4_orders_2(k3_yellow_1(A!1))) | (~v2_yellow_0(k3_yellow_1(A!1))) | (~(v3_struct_0(k2_yellow_1(k9_waybel_0(k3_yellow_1(A!1)))) | (~v1_orders_2(k2_yellow_1(k9_waybel_0(k3_yellow_1(A!1))))) | (~v2_orders_2(k2_yellow_1(k9_waybel_0(k3_yellow_1(A!1))))) | (~v3_orders_2(k2_yellow_1(k9_waybel_0(k3_yellow_1(A!1))))) | (~v4_orders_2(k2_yellow_1(k9_waybel_0(k3_yellow_1(A!1))))) | (~v1_yellow_0(k2_yellow_1(k9_waybel_0(k3_yellow_1(A!1))))) | (~v2_yellow_0(k2_yellow_1(k9_waybel_0(k3_yellow_1(A!1))))) | (~v3_yellow_0(k2_yellow_1(k9_waybel_0(k3_yellow_1(A!1))))) | (~v24_waybel_0(k2_yellow_1(k9_waybel_0(k3_yellow_1(A!1))))) | (~v25_waybel_0(k2_yellow_1(k9_waybel_0(k3_yellow_1(A!1))))) | (~v1_lattice3(k2_yellow_1(k9_waybel_0(k3_yellow_1(A!1))))) | (~v2_lattice3(k2_yellow_1(k9_waybel_0(k3_yellow_1(A!1))))) | (~v3_lattice3(k2_yellow_1(k9_waybel_0(k3_yellow_1(A!1))))) | (~v3_waybel_3(k2_yellow_1(k9_waybel_0(k3_yellow_1(A!1)))))))) <=> (v3_struct_0(k3_yellow_1(A!1)) | (~l1_orders_2(k3_yellow_1(A!1))) | (~v2_lattice3(k3_yellow_1(A!1))) | (~v2_orders_2(k3_yellow_1(A!1))) | (~v3_orders_2(k3_yellow_1(A!1))) | (~v4_orders_2(k3_yellow_1(A!1))) | (~v2_yellow_0(k3_yellow_1(A!1))) | (~(v3_struct_0(k2_yellow_1(k9_waybel_0(k3_yellow_1(A!1)))) | (~v1_orders_2(k2_yellow_1(k9_waybel_0(k3_yellow_1(A!1))))) | (~v2_orders_2(k2_yellow_1(k9_waybel_0(k3_yellow_1(A!1))))) | (~v3_orders_2(k2_yellow_1(k9_waybel_0(k3_yellow_1(A!1))))) | (~v4_orders_2(k2_yellow_1(k9_waybel_0(k3_yellow_1(A!1))))) | (~v1_yellow_0(k2_yellow_1(k9_waybel_0(k3_yellow_1(A!1))))) | (~v24_waybel_0(k2_yellow_1(k9_waybel_0(k3_yellow_1(A!1))))) | (~v25_waybel_0(k2_yellow_1(k9_waybel_0(k3_yellow_1(A!1))))) | (~v2_lattice3(k2_yellow_1(k9_waybel_0(k3_yellow_1(A!1))))) | (~v3_lattice3(k2_yellow_1(k9_waybel_0(k3_yellow_1(A!1))))) | (~v2_yellow_0(k2_yellow_1(k9_waybel_0(k3_yellow_1(A!1))))) | (~v3_yellow_0(k2_yellow_1(k9_waybel_0(k3_yellow_1(A!1))))) | (~v1_lattice3(k2_yellow_1(k9_waybel_0(k3_yellow_1(A!1))))) | (~v3_waybel_3(k2_yellow_1(k9_waybel_0(k3_yellow_1(A!1))))))))),
% 0.60/0.77 inference(monotonicity,[status(thm)],[128])).
% 0.60/0.77 tff(130,plain,
% 0.60/0.77 ((v3_struct_0(k3_yellow_1(A!1)) | (~l1_orders_2(k3_yellow_1(A!1))) | (~v2_lattice3(k3_yellow_1(A!1))) | (~v2_orders_2(k3_yellow_1(A!1))) | (~v3_orders_2(k3_yellow_1(A!1))) | (~v4_orders_2(k3_yellow_1(A!1))) | (~v2_yellow_0(k3_yellow_1(A!1))) | (~(v3_struct_0(k2_yellow_1(k9_waybel_0(k3_yellow_1(A!1)))) | (~v1_orders_2(k2_yellow_1(k9_waybel_0(k3_yellow_1(A!1))))) | (~v2_orders_2(k2_yellow_1(k9_waybel_0(k3_yellow_1(A!1))))) | (~v3_orders_2(k2_yellow_1(k9_waybel_0(k3_yellow_1(A!1))))) | (~v4_orders_2(k2_yellow_1(k9_waybel_0(k3_yellow_1(A!1))))) | (~v1_yellow_0(k2_yellow_1(k9_waybel_0(k3_yellow_1(A!1))))) | (~v2_yellow_0(k2_yellow_1(k9_waybel_0(k3_yellow_1(A!1))))) | (~v3_yellow_0(k2_yellow_1(k9_waybel_0(k3_yellow_1(A!1))))) | (~v24_waybel_0(k2_yellow_1(k9_waybel_0(k3_yellow_1(A!1))))) | (~v25_waybel_0(k2_yellow_1(k9_waybel_0(k3_yellow_1(A!1))))) | (~v1_lattice3(k2_yellow_1(k9_waybel_0(k3_yellow_1(A!1))))) | (~v2_lattice3(k2_yellow_1(k9_waybel_0(k3_yellow_1(A!1))))) | (~v3_lattice3(k2_yellow_1(k9_waybel_0(k3_yellow_1(A!1))))) | (~v3_waybel_3(k2_yellow_1(k9_waybel_0(k3_yellow_1(A!1)))))))) <=> ((~l1_orders_2(k3_yellow_1(A!1))) | (~v2_lattice3(k3_yellow_1(A!1))) | (~v2_orders_2(k3_yellow_1(A!1))) | (~v3_orders_2(k3_yellow_1(A!1))) | (~v4_orders_2(k3_yellow_1(A!1))) | (~v2_yellow_0(k3_yellow_1(A!1))) | v3_struct_0(k3_yellow_1(A!1)) | (~(v3_struct_0(k2_yellow_1(k9_waybel_0(k3_yellow_1(A!1)))) | (~v1_orders_2(k2_yellow_1(k9_waybel_0(k3_yellow_1(A!1))))) | (~v2_orders_2(k2_yellow_1(k9_waybel_0(k3_yellow_1(A!1))))) | (~v3_orders_2(k2_yellow_1(k9_waybel_0(k3_yellow_1(A!1))))) | (~v4_orders_2(k2_yellow_1(k9_waybel_0(k3_yellow_1(A!1))))) | (~v1_yellow_0(k2_yellow_1(k9_waybel_0(k3_yellow_1(A!1))))) | (~v24_waybel_0(k2_yellow_1(k9_waybel_0(k3_yellow_1(A!1))))) | (~v25_waybel_0(k2_yellow_1(k9_waybel_0(k3_yellow_1(A!1))))) | (~v2_lattice3(k2_yellow_1(k9_waybel_0(k3_yellow_1(A!1))))) | (~v3_lattice3(k2_yellow_1(k9_waybel_0(k3_yellow_1(A!1))))) | (~v2_yellow_0(k2_yellow_1(k9_waybel_0(k3_yellow_1(A!1))))) | (~v3_yellow_0(k2_yellow_1(k9_waybel_0(k3_yellow_1(A!1))))) | (~v1_lattice3(k2_yellow_1(k9_waybel_0(k3_yellow_1(A!1))))) | (~v3_waybel_3(k2_yellow_1(k9_waybel_0(k3_yellow_1(A!1))))))))),
% 0.60/0.77 inference(transitivity,[status(thm)],[129, 127])).
% 0.60/0.77 tff(131,plain,
% 0.60/0.77 (((~![A: $i] : (v3_struct_0(A) | (~l1_orders_2(A)) | (~v2_lattice3(A)) | (~v2_orders_2(A)) | (~v3_orders_2(A)) | (~v4_orders_2(A)) | (~v2_yellow_0(A)) | (~(v3_struct_0(k2_yellow_1(k9_waybel_0(A))) | (~v1_orders_2(k2_yellow_1(k9_waybel_0(A)))) | (~v2_orders_2(k2_yellow_1(k9_waybel_0(A)))) | (~v3_orders_2(k2_yellow_1(k9_waybel_0(A)))) | (~v4_orders_2(k2_yellow_1(k9_waybel_0(A)))) | (~v1_yellow_0(k2_yellow_1(k9_waybel_0(A)))) | (~v2_yellow_0(k2_yellow_1(k9_waybel_0(A)))) | (~v3_yellow_0(k2_yellow_1(k9_waybel_0(A)))) | (~v24_waybel_0(k2_yellow_1(k9_waybel_0(A)))) | (~v25_waybel_0(k2_yellow_1(k9_waybel_0(A)))) | (~v1_lattice3(k2_yellow_1(k9_waybel_0(A)))) | (~v2_lattice3(k2_yellow_1(k9_waybel_0(A)))) | (~v3_lattice3(k2_yellow_1(k9_waybel_0(A)))) | (~v3_waybel_3(k2_yellow_1(k9_waybel_0(A)))))))) | (v3_struct_0(k3_yellow_1(A!1)) | (~l1_orders_2(k3_yellow_1(A!1))) | (~v2_lattice3(k3_yellow_1(A!1))) | (~v2_orders_2(k3_yellow_1(A!1))) | (~v3_orders_2(k3_yellow_1(A!1))) | (~v4_orders_2(k3_yellow_1(A!1))) | (~v2_yellow_0(k3_yellow_1(A!1))) | (~(v3_struct_0(k2_yellow_1(k9_waybel_0(k3_yellow_1(A!1)))) | (~v1_orders_2(k2_yellow_1(k9_waybel_0(k3_yellow_1(A!1))))) | (~v2_orders_2(k2_yellow_1(k9_waybel_0(k3_yellow_1(A!1))))) | (~v3_orders_2(k2_yellow_1(k9_waybel_0(k3_yellow_1(A!1))))) | (~v4_orders_2(k2_yellow_1(k9_waybel_0(k3_yellow_1(A!1))))) | (~v1_yellow_0(k2_yellow_1(k9_waybel_0(k3_yellow_1(A!1))))) | (~v2_yellow_0(k2_yellow_1(k9_waybel_0(k3_yellow_1(A!1))))) | (~v3_yellow_0(k2_yellow_1(k9_waybel_0(k3_yellow_1(A!1))))) | (~v24_waybel_0(k2_yellow_1(k9_waybel_0(k3_yellow_1(A!1))))) | (~v25_waybel_0(k2_yellow_1(k9_waybel_0(k3_yellow_1(A!1))))) | (~v1_lattice3(k2_yellow_1(k9_waybel_0(k3_yellow_1(A!1))))) | (~v2_lattice3(k2_yellow_1(k9_waybel_0(k3_yellow_1(A!1))))) | (~v3_lattice3(k2_yellow_1(k9_waybel_0(k3_yellow_1(A!1))))) | (~v3_waybel_3(k2_yellow_1(k9_waybel_0(k3_yellow_1(A!1))))))))) <=> ((~![A: $i] : (v3_struct_0(A) | (~l1_orders_2(A)) | (~v2_lattice3(A)) | (~v2_orders_2(A)) | (~v3_orders_2(A)) | (~v4_orders_2(A)) | (~v2_yellow_0(A)) | (~(v3_struct_0(k2_yellow_1(k9_waybel_0(A))) | (~v1_orders_2(k2_yellow_1(k9_waybel_0(A)))) | (~v2_orders_2(k2_yellow_1(k9_waybel_0(A)))) | (~v3_orders_2(k2_yellow_1(k9_waybel_0(A)))) | (~v4_orders_2(k2_yellow_1(k9_waybel_0(A)))) | (~v1_yellow_0(k2_yellow_1(k9_waybel_0(A)))) | (~v2_yellow_0(k2_yellow_1(k9_waybel_0(A)))) | (~v3_yellow_0(k2_yellow_1(k9_waybel_0(A)))) | (~v24_waybel_0(k2_yellow_1(k9_waybel_0(A)))) | (~v25_waybel_0(k2_yellow_1(k9_waybel_0(A)))) | (~v1_lattice3(k2_yellow_1(k9_waybel_0(A)))) | (~v2_lattice3(k2_yellow_1(k9_waybel_0(A)))) | (~v3_lattice3(k2_yellow_1(k9_waybel_0(A)))) | (~v3_waybel_3(k2_yellow_1(k9_waybel_0(A)))))))) | ((~l1_orders_2(k3_yellow_1(A!1))) | (~v2_lattice3(k3_yellow_1(A!1))) | (~v2_orders_2(k3_yellow_1(A!1))) | (~v3_orders_2(k3_yellow_1(A!1))) | (~v4_orders_2(k3_yellow_1(A!1))) | (~v2_yellow_0(k3_yellow_1(A!1))) | v3_struct_0(k3_yellow_1(A!1)) | (~(v3_struct_0(k2_yellow_1(k9_waybel_0(k3_yellow_1(A!1)))) | (~v1_orders_2(k2_yellow_1(k9_waybel_0(k3_yellow_1(A!1))))) | (~v2_orders_2(k2_yellow_1(k9_waybel_0(k3_yellow_1(A!1))))) | (~v3_orders_2(k2_yellow_1(k9_waybel_0(k3_yellow_1(A!1))))) | (~v4_orders_2(k2_yellow_1(k9_waybel_0(k3_yellow_1(A!1))))) | (~v1_yellow_0(k2_yellow_1(k9_waybel_0(k3_yellow_1(A!1))))) | (~v24_waybel_0(k2_yellow_1(k9_waybel_0(k3_yellow_1(A!1))))) | (~v25_waybel_0(k2_yellow_1(k9_waybel_0(k3_yellow_1(A!1))))) | (~v2_lattice3(k2_yellow_1(k9_waybel_0(k3_yellow_1(A!1))))) | (~v3_lattice3(k2_yellow_1(k9_waybel_0(k3_yellow_1(A!1))))) | (~v2_yellow_0(k2_yellow_1(k9_waybel_0(k3_yellow_1(A!1))))) | (~v3_yellow_0(k2_yellow_1(k9_waybel_0(k3_yellow_1(A!1))))) | (~v1_lattice3(k2_yellow_1(k9_waybel_0(k3_yellow_1(A!1))))) | (~v3_waybel_3(k2_yellow_1(k9_waybel_0(k3_yellow_1(A!1)))))))))),
% 0.60/0.77 inference(monotonicity,[status(thm)],[130])).
% 0.60/0.77 tff(132,plain,
% 0.60/0.77 (((~![A: $i] : (v3_struct_0(A) | (~l1_orders_2(A)) | (~v2_lattice3(A)) | (~v2_orders_2(A)) | (~v3_orders_2(A)) | (~v4_orders_2(A)) | (~v2_yellow_0(A)) | (~(v3_struct_0(k2_yellow_1(k9_waybel_0(A))) | (~v1_orders_2(k2_yellow_1(k9_waybel_0(A)))) | (~v2_orders_2(k2_yellow_1(k9_waybel_0(A)))) | (~v3_orders_2(k2_yellow_1(k9_waybel_0(A)))) | (~v4_orders_2(k2_yellow_1(k9_waybel_0(A)))) | (~v1_yellow_0(k2_yellow_1(k9_waybel_0(A)))) | (~v2_yellow_0(k2_yellow_1(k9_waybel_0(A)))) | (~v3_yellow_0(k2_yellow_1(k9_waybel_0(A)))) | (~v24_waybel_0(k2_yellow_1(k9_waybel_0(A)))) | (~v25_waybel_0(k2_yellow_1(k9_waybel_0(A)))) | (~v1_lattice3(k2_yellow_1(k9_waybel_0(A)))) | (~v2_lattice3(k2_yellow_1(k9_waybel_0(A)))) | (~v3_lattice3(k2_yellow_1(k9_waybel_0(A)))) | (~v3_waybel_3(k2_yellow_1(k9_waybel_0(A)))))))) | (v3_struct_0(k3_yellow_1(A!1)) | (~l1_orders_2(k3_yellow_1(A!1))) | (~v2_lattice3(k3_yellow_1(A!1))) | (~v2_orders_2(k3_yellow_1(A!1))) | (~v3_orders_2(k3_yellow_1(A!1))) | (~v4_orders_2(k3_yellow_1(A!1))) | (~v2_yellow_0(k3_yellow_1(A!1))) | (~(v3_struct_0(k2_yellow_1(k9_waybel_0(k3_yellow_1(A!1)))) | (~v1_orders_2(k2_yellow_1(k9_waybel_0(k3_yellow_1(A!1))))) | (~v2_orders_2(k2_yellow_1(k9_waybel_0(k3_yellow_1(A!1))))) | (~v3_orders_2(k2_yellow_1(k9_waybel_0(k3_yellow_1(A!1))))) | (~v4_orders_2(k2_yellow_1(k9_waybel_0(k3_yellow_1(A!1))))) | (~v1_yellow_0(k2_yellow_1(k9_waybel_0(k3_yellow_1(A!1))))) | (~v2_yellow_0(k2_yellow_1(k9_waybel_0(k3_yellow_1(A!1))))) | (~v3_yellow_0(k2_yellow_1(k9_waybel_0(k3_yellow_1(A!1))))) | (~v24_waybel_0(k2_yellow_1(k9_waybel_0(k3_yellow_1(A!1))))) | (~v25_waybel_0(k2_yellow_1(k9_waybel_0(k3_yellow_1(A!1))))) | (~v1_lattice3(k2_yellow_1(k9_waybel_0(k3_yellow_1(A!1))))) | (~v2_lattice3(k2_yellow_1(k9_waybel_0(k3_yellow_1(A!1))))) | (~v3_lattice3(k2_yellow_1(k9_waybel_0(k3_yellow_1(A!1))))) | (~v3_waybel_3(k2_yellow_1(k9_waybel_0(k3_yellow_1(A!1))))))))) <=> ((~![A: $i] : (v3_struct_0(A) | (~l1_orders_2(A)) | (~v2_lattice3(A)) | (~v2_orders_2(A)) | (~v3_orders_2(A)) | (~v4_orders_2(A)) | (~v2_yellow_0(A)) | (~(v3_struct_0(k2_yellow_1(k9_waybel_0(A))) | (~v1_orders_2(k2_yellow_1(k9_waybel_0(A)))) | (~v2_orders_2(k2_yellow_1(k9_waybel_0(A)))) | (~v3_orders_2(k2_yellow_1(k9_waybel_0(A)))) | (~v4_orders_2(k2_yellow_1(k9_waybel_0(A)))) | (~v1_yellow_0(k2_yellow_1(k9_waybel_0(A)))) | (~v2_yellow_0(k2_yellow_1(k9_waybel_0(A)))) | (~v3_yellow_0(k2_yellow_1(k9_waybel_0(A)))) | (~v24_waybel_0(k2_yellow_1(k9_waybel_0(A)))) | (~v25_waybel_0(k2_yellow_1(k9_waybel_0(A)))) | (~v1_lattice3(k2_yellow_1(k9_waybel_0(A)))) | (~v2_lattice3(k2_yellow_1(k9_waybel_0(A)))) | (~v3_lattice3(k2_yellow_1(k9_waybel_0(A)))) | (~v3_waybel_3(k2_yellow_1(k9_waybel_0(A)))))))) | (~l1_orders_2(k3_yellow_1(A!1))) | (~v2_lattice3(k3_yellow_1(A!1))) | (~v2_orders_2(k3_yellow_1(A!1))) | (~v3_orders_2(k3_yellow_1(A!1))) | (~v4_orders_2(k3_yellow_1(A!1))) | (~v2_yellow_0(k3_yellow_1(A!1))) | v3_struct_0(k3_yellow_1(A!1)) | (~(v3_struct_0(k2_yellow_1(k9_waybel_0(k3_yellow_1(A!1)))) | (~v1_orders_2(k2_yellow_1(k9_waybel_0(k3_yellow_1(A!1))))) | (~v2_orders_2(k2_yellow_1(k9_waybel_0(k3_yellow_1(A!1))))) | (~v3_orders_2(k2_yellow_1(k9_waybel_0(k3_yellow_1(A!1))))) | (~v4_orders_2(k2_yellow_1(k9_waybel_0(k3_yellow_1(A!1))))) | (~v1_yellow_0(k2_yellow_1(k9_waybel_0(k3_yellow_1(A!1))))) | (~v24_waybel_0(k2_yellow_1(k9_waybel_0(k3_yellow_1(A!1))))) | (~v25_waybel_0(k2_yellow_1(k9_waybel_0(k3_yellow_1(A!1))))) | (~v2_lattice3(k2_yellow_1(k9_waybel_0(k3_yellow_1(A!1))))) | (~v3_lattice3(k2_yellow_1(k9_waybel_0(k3_yellow_1(A!1))))) | (~v2_yellow_0(k2_yellow_1(k9_waybel_0(k3_yellow_1(A!1))))) | (~v3_yellow_0(k2_yellow_1(k9_waybel_0(k3_yellow_1(A!1))))) | (~v1_lattice3(k2_yellow_1(k9_waybel_0(k3_yellow_1(A!1))))) | (~v3_waybel_3(k2_yellow_1(k9_waybel_0(k3_yellow_1(A!1))))))))),
% 0.60/0.77 inference(transitivity,[status(thm)],[131, 126])).
% 0.60/0.77 tff(133,plain,
% 0.60/0.77 ((~![A: $i] : (v3_struct_0(A) | (~l1_orders_2(A)) | (~v2_lattice3(A)) | (~v2_orders_2(A)) | (~v3_orders_2(A)) | (~v4_orders_2(A)) | (~v2_yellow_0(A)) | (~(v3_struct_0(k2_yellow_1(k9_waybel_0(A))) | (~v1_orders_2(k2_yellow_1(k9_waybel_0(A)))) | (~v2_orders_2(k2_yellow_1(k9_waybel_0(A)))) | (~v3_orders_2(k2_yellow_1(k9_waybel_0(A)))) | (~v4_orders_2(k2_yellow_1(k9_waybel_0(A)))) | (~v1_yellow_0(k2_yellow_1(k9_waybel_0(A)))) | (~v2_yellow_0(k2_yellow_1(k9_waybel_0(A)))) | (~v3_yellow_0(k2_yellow_1(k9_waybel_0(A)))) | (~v24_waybel_0(k2_yellow_1(k9_waybel_0(A)))) | (~v25_waybel_0(k2_yellow_1(k9_waybel_0(A)))) | (~v1_lattice3(k2_yellow_1(k9_waybel_0(A)))) | (~v2_lattice3(k2_yellow_1(k9_waybel_0(A)))) | (~v3_lattice3(k2_yellow_1(k9_waybel_0(A)))) | (~v3_waybel_3(k2_yellow_1(k9_waybel_0(A)))))))) | (v3_struct_0(k3_yellow_1(A!1)) | (~l1_orders_2(k3_yellow_1(A!1))) | (~v2_lattice3(k3_yellow_1(A!1))) | (~v2_orders_2(k3_yellow_1(A!1))) | (~v3_orders_2(k3_yellow_1(A!1))) | (~v4_orders_2(k3_yellow_1(A!1))) | (~v2_yellow_0(k3_yellow_1(A!1))) | (~(v3_struct_0(k2_yellow_1(k9_waybel_0(k3_yellow_1(A!1)))) | (~v1_orders_2(k2_yellow_1(k9_waybel_0(k3_yellow_1(A!1))))) | (~v2_orders_2(k2_yellow_1(k9_waybel_0(k3_yellow_1(A!1))))) | (~v3_orders_2(k2_yellow_1(k9_waybel_0(k3_yellow_1(A!1))))) | (~v4_orders_2(k2_yellow_1(k9_waybel_0(k3_yellow_1(A!1))))) | (~v1_yellow_0(k2_yellow_1(k9_waybel_0(k3_yellow_1(A!1))))) | (~v2_yellow_0(k2_yellow_1(k9_waybel_0(k3_yellow_1(A!1))))) | (~v3_yellow_0(k2_yellow_1(k9_waybel_0(k3_yellow_1(A!1))))) | (~v24_waybel_0(k2_yellow_1(k9_waybel_0(k3_yellow_1(A!1))))) | (~v25_waybel_0(k2_yellow_1(k9_waybel_0(k3_yellow_1(A!1))))) | (~v1_lattice3(k2_yellow_1(k9_waybel_0(k3_yellow_1(A!1))))) | (~v2_lattice3(k2_yellow_1(k9_waybel_0(k3_yellow_1(A!1))))) | (~v3_lattice3(k2_yellow_1(k9_waybel_0(k3_yellow_1(A!1))))) | (~v3_waybel_3(k2_yellow_1(k9_waybel_0(k3_yellow_1(A!1))))))))),
% 0.60/0.77 inference(quant_inst,[status(thm)],[])).
% 0.60/0.77 tff(134,plain,
% 0.60/0.77 ((~![A: $i] : (v3_struct_0(A) | (~l1_orders_2(A)) | (~v2_lattice3(A)) | (~v2_orders_2(A)) | (~v3_orders_2(A)) | (~v4_orders_2(A)) | (~v2_yellow_0(A)) | (~(v3_struct_0(k2_yellow_1(k9_waybel_0(A))) | (~v1_orders_2(k2_yellow_1(k9_waybel_0(A)))) | (~v2_orders_2(k2_yellow_1(k9_waybel_0(A)))) | (~v3_orders_2(k2_yellow_1(k9_waybel_0(A)))) | (~v4_orders_2(k2_yellow_1(k9_waybel_0(A)))) | (~v1_yellow_0(k2_yellow_1(k9_waybel_0(A)))) | (~v2_yellow_0(k2_yellow_1(k9_waybel_0(A)))) | (~v3_yellow_0(k2_yellow_1(k9_waybel_0(A)))) | (~v24_waybel_0(k2_yellow_1(k9_waybel_0(A)))) | (~v25_waybel_0(k2_yellow_1(k9_waybel_0(A)))) | (~v1_lattice3(k2_yellow_1(k9_waybel_0(A)))) | (~v2_lattice3(k2_yellow_1(k9_waybel_0(A)))) | (~v3_lattice3(k2_yellow_1(k9_waybel_0(A)))) | (~v3_waybel_3(k2_yellow_1(k9_waybel_0(A)))))))) | (~l1_orders_2(k3_yellow_1(A!1))) | (~v2_lattice3(k3_yellow_1(A!1))) | (~v2_orders_2(k3_yellow_1(A!1))) | (~v3_orders_2(k3_yellow_1(A!1))) | (~v4_orders_2(k3_yellow_1(A!1))) | (~v2_yellow_0(k3_yellow_1(A!1))) | v3_struct_0(k3_yellow_1(A!1)) | (~(v3_struct_0(k2_yellow_1(k9_waybel_0(k3_yellow_1(A!1)))) | (~v1_orders_2(k2_yellow_1(k9_waybel_0(k3_yellow_1(A!1))))) | (~v2_orders_2(k2_yellow_1(k9_waybel_0(k3_yellow_1(A!1))))) | (~v3_orders_2(k2_yellow_1(k9_waybel_0(k3_yellow_1(A!1))))) | (~v4_orders_2(k2_yellow_1(k9_waybel_0(k3_yellow_1(A!1))))) | (~v1_yellow_0(k2_yellow_1(k9_waybel_0(k3_yellow_1(A!1))))) | (~v24_waybel_0(k2_yellow_1(k9_waybel_0(k3_yellow_1(A!1))))) | (~v25_waybel_0(k2_yellow_1(k9_waybel_0(k3_yellow_1(A!1))))) | (~v2_lattice3(k2_yellow_1(k9_waybel_0(k3_yellow_1(A!1))))) | (~v3_lattice3(k2_yellow_1(k9_waybel_0(k3_yellow_1(A!1))))) | (~v2_yellow_0(k2_yellow_1(k9_waybel_0(k3_yellow_1(A!1))))) | (~v3_yellow_0(k2_yellow_1(k9_waybel_0(k3_yellow_1(A!1))))) | (~v1_lattice3(k2_yellow_1(k9_waybel_0(k3_yellow_1(A!1))))) | (~v3_waybel_3(k2_yellow_1(k9_waybel_0(k3_yellow_1(A!1)))))))),
% 0.60/0.77 inference(modus_ponens,[status(thm)],[133, 132])).
% 0.60/0.77 tff(135,plain,
% 0.60/0.77 ((~l1_orders_2(k3_yellow_1(A!1))) | (~v2_lattice3(k3_yellow_1(A!1))) | (~v2_orders_2(k3_yellow_1(A!1))) | (~v3_orders_2(k3_yellow_1(A!1))) | (~v4_orders_2(k3_yellow_1(A!1))) | (~v2_yellow_0(k3_yellow_1(A!1))) | v3_struct_0(k3_yellow_1(A!1)) | (~(v3_struct_0(k2_yellow_1(k9_waybel_0(k3_yellow_1(A!1)))) | (~v1_orders_2(k2_yellow_1(k9_waybel_0(k3_yellow_1(A!1))))) | (~v2_orders_2(k2_yellow_1(k9_waybel_0(k3_yellow_1(A!1))))) | (~v3_orders_2(k2_yellow_1(k9_waybel_0(k3_yellow_1(A!1))))) | (~v4_orders_2(k2_yellow_1(k9_waybel_0(k3_yellow_1(A!1))))) | (~v1_yellow_0(k2_yellow_1(k9_waybel_0(k3_yellow_1(A!1))))) | (~v24_waybel_0(k2_yellow_1(k9_waybel_0(k3_yellow_1(A!1))))) | (~v25_waybel_0(k2_yellow_1(k9_waybel_0(k3_yellow_1(A!1))))) | (~v2_lattice3(k2_yellow_1(k9_waybel_0(k3_yellow_1(A!1))))) | (~v3_lattice3(k2_yellow_1(k9_waybel_0(k3_yellow_1(A!1))))) | (~v2_yellow_0(k2_yellow_1(k9_waybel_0(k3_yellow_1(A!1))))) | (~v3_yellow_0(k2_yellow_1(k9_waybel_0(k3_yellow_1(A!1))))) | (~v1_lattice3(k2_yellow_1(k9_waybel_0(k3_yellow_1(A!1))))) | (~v3_waybel_3(k2_yellow_1(k9_waybel_0(k3_yellow_1(A!1)))))))),
% 0.60/0.77 inference(unit_resolution,[status(thm)],[134, 125])).
% 0.60/0.77 tff(136,plain,
% 0.60/0.77 (~(v3_struct_0(k2_yellow_1(k9_waybel_0(k3_yellow_1(A!1)))) | (~v1_orders_2(k2_yellow_1(k9_waybel_0(k3_yellow_1(A!1))))) | (~v2_orders_2(k2_yellow_1(k9_waybel_0(k3_yellow_1(A!1))))) | (~v3_orders_2(k2_yellow_1(k9_waybel_0(k3_yellow_1(A!1))))) | (~v4_orders_2(k2_yellow_1(k9_waybel_0(k3_yellow_1(A!1))))) | (~v1_yellow_0(k2_yellow_1(k9_waybel_0(k3_yellow_1(A!1))))) | (~v24_waybel_0(k2_yellow_1(k9_waybel_0(k3_yellow_1(A!1))))) | (~v25_waybel_0(k2_yellow_1(k9_waybel_0(k3_yellow_1(A!1))))) | (~v2_lattice3(k2_yellow_1(k9_waybel_0(k3_yellow_1(A!1))))) | (~v3_lattice3(k2_yellow_1(k9_waybel_0(k3_yellow_1(A!1))))) | (~v2_yellow_0(k2_yellow_1(k9_waybel_0(k3_yellow_1(A!1))))) | (~v3_yellow_0(k2_yellow_1(k9_waybel_0(k3_yellow_1(A!1))))) | (~v1_lattice3(k2_yellow_1(k9_waybel_0(k3_yellow_1(A!1))))) | (~v3_waybel_3(k2_yellow_1(k9_waybel_0(k3_yellow_1(A!1))))))),
% 0.60/0.77 inference(unit_resolution,[status(thm)],[135, 112, 93, 91, 89, 87, 85, 83])).
% 0.60/0.77 tff(137,plain,
% 0.60/0.77 ((v3_struct_0(k2_yellow_1(k9_waybel_0(k3_yellow_1(A!1)))) | (~v1_orders_2(k2_yellow_1(k9_waybel_0(k3_yellow_1(A!1))))) | (~v2_orders_2(k2_yellow_1(k9_waybel_0(k3_yellow_1(A!1))))) | (~v3_orders_2(k2_yellow_1(k9_waybel_0(k3_yellow_1(A!1))))) | (~v4_orders_2(k2_yellow_1(k9_waybel_0(k3_yellow_1(A!1))))) | (~v1_yellow_0(k2_yellow_1(k9_waybel_0(k3_yellow_1(A!1))))) | (~v24_waybel_0(k2_yellow_1(k9_waybel_0(k3_yellow_1(A!1))))) | (~v25_waybel_0(k2_yellow_1(k9_waybel_0(k3_yellow_1(A!1))))) | (~v2_lattice3(k2_yellow_1(k9_waybel_0(k3_yellow_1(A!1))))) | (~v3_lattice3(k2_yellow_1(k9_waybel_0(k3_yellow_1(A!1))))) | (~v2_yellow_0(k2_yellow_1(k9_waybel_0(k3_yellow_1(A!1))))) | (~v3_yellow_0(k2_yellow_1(k9_waybel_0(k3_yellow_1(A!1))))) | (~v1_lattice3(k2_yellow_1(k9_waybel_0(k3_yellow_1(A!1))))) | (~v3_waybel_3(k2_yellow_1(k9_waybel_0(k3_yellow_1(A!1)))))) | v3_waybel_3(k2_yellow_1(k9_waybel_0(k3_yellow_1(A!1))))),
% 0.60/0.77 inference(tautology,[status(thm)],[])).
% 0.60/0.77 tff(138,plain,
% 0.60/0.77 (v3_waybel_3(k2_yellow_1(k9_waybel_0(k3_yellow_1(A!1))))),
% 0.60/0.77 inference(unit_resolution,[status(thm)],[137, 136])).
% 0.60/0.77 tff(139,plain,
% 0.60/0.77 ((v3_struct_0(k2_yellow_1(k9_waybel_0(k3_yellow_1(A!1)))) | (~v1_orders_2(k2_yellow_1(k9_waybel_0(k3_yellow_1(A!1))))) | (~v2_orders_2(k2_yellow_1(k9_waybel_0(k3_yellow_1(A!1))))) | (~v3_orders_2(k2_yellow_1(k9_waybel_0(k3_yellow_1(A!1))))) | (~v4_orders_2(k2_yellow_1(k9_waybel_0(k3_yellow_1(A!1))))) | (~v1_yellow_0(k2_yellow_1(k9_waybel_0(k3_yellow_1(A!1))))) | (~v24_waybel_0(k2_yellow_1(k9_waybel_0(k3_yellow_1(A!1))))) | (~v25_waybel_0(k2_yellow_1(k9_waybel_0(k3_yellow_1(A!1))))) | (~v2_lattice3(k2_yellow_1(k9_waybel_0(k3_yellow_1(A!1))))) | (~v3_lattice3(k2_yellow_1(k9_waybel_0(k3_yellow_1(A!1))))) | (~v2_yellow_0(k2_yellow_1(k9_waybel_0(k3_yellow_1(A!1))))) | (~v3_yellow_0(k2_yellow_1(k9_waybel_0(k3_yellow_1(A!1))))) | (~v1_lattice3(k2_yellow_1(k9_waybel_0(k3_yellow_1(A!1))))) | (~v3_waybel_3(k2_yellow_1(k9_waybel_0(k3_yellow_1(A!1)))))) | v1_lattice3(k2_yellow_1(k9_waybel_0(k3_yellow_1(A!1))))),
% 0.60/0.77 inference(tautology,[status(thm)],[])).
% 0.60/0.77 tff(140,plain,
% 0.60/0.77 (v1_lattice3(k2_yellow_1(k9_waybel_0(k3_yellow_1(A!1))))),
% 0.60/0.77 inference(unit_resolution,[status(thm)],[139, 136])).
% 0.60/0.77 tff(141,plain,
% 0.60/0.77 (^[A: $i] : refl(((~l1_orders_2(A)) | (~v2_lattice3(A)) | (~v2_orders_2(A)) | (~v3_orders_2(A)) | (~v4_orders_2(A)) | (~v2_yellow_0(A)) | (~(v3_struct_0(k2_yellow_1(k9_waybel_0(A))) | (~v1_orders_2(k2_yellow_1(k9_waybel_0(A)))) | (~v2_orders_2(k2_yellow_1(k9_waybel_0(A)))) | (~v3_orders_2(k2_yellow_1(k9_waybel_0(A)))) | (~v4_orders_2(k2_yellow_1(k9_waybel_0(A)))) | (~v1_yellow_0(k2_yellow_1(k9_waybel_0(A)))) | (~v24_waybel_0(k2_yellow_1(k9_waybel_0(A)))) | (~v25_waybel_0(k2_yellow_1(k9_waybel_0(A)))) | (~v2_lattice3(k2_yellow_1(k9_waybel_0(A)))) | (~v3_lattice3(k2_yellow_1(k9_waybel_0(A))))))) <=> ((~l1_orders_2(A)) | (~v2_lattice3(A)) | (~v2_orders_2(A)) | (~v3_orders_2(A)) | (~v4_orders_2(A)) | (~v2_yellow_0(A)) | (~(v3_struct_0(k2_yellow_1(k9_waybel_0(A))) | (~v1_orders_2(k2_yellow_1(k9_waybel_0(A)))) | (~v2_orders_2(k2_yellow_1(k9_waybel_0(A)))) | (~v3_orders_2(k2_yellow_1(k9_waybel_0(A)))) | (~v4_orders_2(k2_yellow_1(k9_waybel_0(A)))) | (~v1_yellow_0(k2_yellow_1(k9_waybel_0(A)))) | (~v24_waybel_0(k2_yellow_1(k9_waybel_0(A)))) | (~v25_waybel_0(k2_yellow_1(k9_waybel_0(A)))) | (~v2_lattice3(k2_yellow_1(k9_waybel_0(A)))) | (~v3_lattice3(k2_yellow_1(k9_waybel_0(A))))))))),
% 0.60/0.77 inference(bind,[status(th)],[])).
% 0.60/0.77 tff(142,plain,
% 0.60/0.77 (![A: $i] : ((~l1_orders_2(A)) | (~v2_lattice3(A)) | (~v2_orders_2(A)) | (~v3_orders_2(A)) | (~v4_orders_2(A)) | (~v2_yellow_0(A)) | (~(v3_struct_0(k2_yellow_1(k9_waybel_0(A))) | (~v1_orders_2(k2_yellow_1(k9_waybel_0(A)))) | (~v2_orders_2(k2_yellow_1(k9_waybel_0(A)))) | (~v3_orders_2(k2_yellow_1(k9_waybel_0(A)))) | (~v4_orders_2(k2_yellow_1(k9_waybel_0(A)))) | (~v1_yellow_0(k2_yellow_1(k9_waybel_0(A)))) | (~v24_waybel_0(k2_yellow_1(k9_waybel_0(A)))) | (~v25_waybel_0(k2_yellow_1(k9_waybel_0(A)))) | (~v2_lattice3(k2_yellow_1(k9_waybel_0(A)))) | (~v3_lattice3(k2_yellow_1(k9_waybel_0(A))))))) <=> ![A: $i] : ((~l1_orders_2(A)) | (~v2_lattice3(A)) | (~v2_orders_2(A)) | (~v3_orders_2(A)) | (~v4_orders_2(A)) | (~v2_yellow_0(A)) | (~(v3_struct_0(k2_yellow_1(k9_waybel_0(A))) | (~v1_orders_2(k2_yellow_1(k9_waybel_0(A)))) | (~v2_orders_2(k2_yellow_1(k9_waybel_0(A)))) | (~v3_orders_2(k2_yellow_1(k9_waybel_0(A)))) | (~v4_orders_2(k2_yellow_1(k9_waybel_0(A)))) | (~v1_yellow_0(k2_yellow_1(k9_waybel_0(A)))) | (~v24_waybel_0(k2_yellow_1(k9_waybel_0(A)))) | (~v25_waybel_0(k2_yellow_1(k9_waybel_0(A)))) | (~v2_lattice3(k2_yellow_1(k9_waybel_0(A)))) | (~v3_lattice3(k2_yellow_1(k9_waybel_0(A)))))))),
% 0.60/0.77 inference(quant_intro,[status(thm)],[141])).
% 0.60/0.77 tff(143,plain,
% 0.60/0.77 (^[A: $i] : trans(monotonicity(trans(monotonicity(rewrite((v2_orders_2(A) & v3_orders_2(A) & v4_orders_2(A) & v2_lattice3(A) & v2_yellow_0(A) & l1_orders_2(A)) <=> (~((~l1_orders_2(A)) | (~v2_lattice3(A)) | (~v2_orders_2(A)) | (~v3_orders_2(A)) | (~v4_orders_2(A)) | (~v2_yellow_0(A))))), ((~(v2_orders_2(A) & v3_orders_2(A) & v4_orders_2(A) & v2_lattice3(A) & v2_yellow_0(A) & l1_orders_2(A))) <=> (~(~((~l1_orders_2(A)) | (~v2_lattice3(A)) | (~v2_orders_2(A)) | (~v3_orders_2(A)) | (~v4_orders_2(A)) | (~v2_yellow_0(A))))))), rewrite((~(~((~l1_orders_2(A)) | (~v2_lattice3(A)) | (~v2_orders_2(A)) | (~v3_orders_2(A)) | (~v4_orders_2(A)) | (~v2_yellow_0(A))))) <=> ((~l1_orders_2(A)) | (~v2_lattice3(A)) | (~v2_orders_2(A)) | (~v3_orders_2(A)) | (~v4_orders_2(A)) | (~v2_yellow_0(A)))), ((~(v2_orders_2(A) & v3_orders_2(A) & v4_orders_2(A) & v2_lattice3(A) & v2_yellow_0(A) & l1_orders_2(A))) <=> ((~l1_orders_2(A)) | (~v2_lattice3(A)) | (~v2_orders_2(A)) | (~v3_orders_2(A)) | (~v4_orders_2(A)) | (~v2_yellow_0(A))))), rewrite(((~v3_struct_0(k2_yellow_1(k9_waybel_0(A)))) & v1_orders_2(k2_yellow_1(k9_waybel_0(A))) & v2_orders_2(k2_yellow_1(k9_waybel_0(A))) & v3_orders_2(k2_yellow_1(k9_waybel_0(A))) & v4_orders_2(k2_yellow_1(k9_waybel_0(A))) & v2_lattice3(k2_yellow_1(k9_waybel_0(A))) & v3_lattice3(k2_yellow_1(k9_waybel_0(A))) & v1_yellow_0(k2_yellow_1(k9_waybel_0(A))) & v24_waybel_0(k2_yellow_1(k9_waybel_0(A))) & v25_waybel_0(k2_yellow_1(k9_waybel_0(A)))) <=> (~(v3_struct_0(k2_yellow_1(k9_waybel_0(A))) | (~v1_orders_2(k2_yellow_1(k9_waybel_0(A)))) | (~v2_orders_2(k2_yellow_1(k9_waybel_0(A)))) | (~v3_orders_2(k2_yellow_1(k9_waybel_0(A)))) | (~v4_orders_2(k2_yellow_1(k9_waybel_0(A)))) | (~v1_yellow_0(k2_yellow_1(k9_waybel_0(A)))) | (~v24_waybel_0(k2_yellow_1(k9_waybel_0(A)))) | (~v25_waybel_0(k2_yellow_1(k9_waybel_0(A)))) | (~v2_lattice3(k2_yellow_1(k9_waybel_0(A)))) | (~v3_lattice3(k2_yellow_1(k9_waybel_0(A))))))), (((~(v2_orders_2(A) & v3_orders_2(A) & v4_orders_2(A) & v2_lattice3(A) & v2_yellow_0(A) & l1_orders_2(A))) | ((~v3_struct_0(k2_yellow_1(k9_waybel_0(A)))) & v1_orders_2(k2_yellow_1(k9_waybel_0(A))) & v2_orders_2(k2_yellow_1(k9_waybel_0(A))) & v3_orders_2(k2_yellow_1(k9_waybel_0(A))) & v4_orders_2(k2_yellow_1(k9_waybel_0(A))) & v2_lattice3(k2_yellow_1(k9_waybel_0(A))) & v3_lattice3(k2_yellow_1(k9_waybel_0(A))) & v1_yellow_0(k2_yellow_1(k9_waybel_0(A))) & v24_waybel_0(k2_yellow_1(k9_waybel_0(A))) & v25_waybel_0(k2_yellow_1(k9_waybel_0(A))))) <=> (((~l1_orders_2(A)) | (~v2_lattice3(A)) | (~v2_orders_2(A)) | (~v3_orders_2(A)) | (~v4_orders_2(A)) | (~v2_yellow_0(A))) | (~(v3_struct_0(k2_yellow_1(k9_waybel_0(A))) | (~v1_orders_2(k2_yellow_1(k9_waybel_0(A)))) | (~v2_orders_2(k2_yellow_1(k9_waybel_0(A)))) | (~v3_orders_2(k2_yellow_1(k9_waybel_0(A)))) | (~v4_orders_2(k2_yellow_1(k9_waybel_0(A)))) | (~v1_yellow_0(k2_yellow_1(k9_waybel_0(A)))) | (~v24_waybel_0(k2_yellow_1(k9_waybel_0(A)))) | (~v25_waybel_0(k2_yellow_1(k9_waybel_0(A)))) | (~v2_lattice3(k2_yellow_1(k9_waybel_0(A)))) | (~v3_lattice3(k2_yellow_1(k9_waybel_0(A))))))))), rewrite((((~l1_orders_2(A)) | (~v2_lattice3(A)) | (~v2_orders_2(A)) | (~v3_orders_2(A)) | (~v4_orders_2(A)) | (~v2_yellow_0(A))) | (~(v3_struct_0(k2_yellow_1(k9_waybel_0(A))) | (~v1_orders_2(k2_yellow_1(k9_waybel_0(A)))) | (~v2_orders_2(k2_yellow_1(k9_waybel_0(A)))) | (~v3_orders_2(k2_yellow_1(k9_waybel_0(A)))) | (~v4_orders_2(k2_yellow_1(k9_waybel_0(A)))) | (~v1_yellow_0(k2_yellow_1(k9_waybel_0(A)))) | (~v24_waybel_0(k2_yellow_1(k9_waybel_0(A)))) | (~v25_waybel_0(k2_yellow_1(k9_waybel_0(A)))) | (~v2_lattice3(k2_yellow_1(k9_waybel_0(A)))) | (~v3_lattice3(k2_yellow_1(k9_waybel_0(A))))))) <=> ((~l1_orders_2(A)) | (~v2_lattice3(A)) | (~v2_orders_2(A)) | (~v3_orders_2(A)) | (~v4_orders_2(A)) | (~v2_yellow_0(A)) | (~(v3_struct_0(k2_yellow_1(k9_waybel_0(A))) | (~v1_orders_2(k2_yellow_1(k9_waybel_0(A)))) | (~v2_orders_2(k2_yellow_1(k9_waybel_0(A)))) | (~v3_orders_2(k2_yellow_1(k9_waybel_0(A)))) | (~v4_orders_2(k2_yellow_1(k9_waybel_0(A)))) | (~v1_yellow_0(k2_yellow_1(k9_waybel_0(A)))) | (~v24_waybel_0(k2_yellow_1(k9_waybel_0(A)))) | (~v25_waybel_0(k2_yellow_1(k9_waybel_0(A)))) | (~v2_lattice3(k2_yellow_1(k9_waybel_0(A)))) | (~v3_lattice3(k2_yellow_1(k9_waybel_0(A)))))))), (((~(v2_orders_2(A) & v3_orders_2(A) & v4_orders_2(A) & v2_lattice3(A) & v2_yellow_0(A) & l1_orders_2(A))) | ((~v3_struct_0(k2_yellow_1(k9_waybel_0(A)))) & v1_orders_2(k2_yellow_1(k9_waybel_0(A))) & v2_orders_2(k2_yellow_1(k9_waybel_0(A))) & v3_orders_2(k2_yellow_1(k9_waybel_0(A))) & v4_orders_2(k2_yellow_1(k9_waybel_0(A))) & v2_lattice3(k2_yellow_1(k9_waybel_0(A))) & v3_lattice3(k2_yellow_1(k9_waybel_0(A))) & v1_yellow_0(k2_yellow_1(k9_waybel_0(A))) & v24_waybel_0(k2_yellow_1(k9_waybel_0(A))) & v25_waybel_0(k2_yellow_1(k9_waybel_0(A))))) <=> ((~l1_orders_2(A)) | (~v2_lattice3(A)) | (~v2_orders_2(A)) | (~v3_orders_2(A)) | (~v4_orders_2(A)) | (~v2_yellow_0(A)) | (~(v3_struct_0(k2_yellow_1(k9_waybel_0(A))) | (~v1_orders_2(k2_yellow_1(k9_waybel_0(A)))) | (~v2_orders_2(k2_yellow_1(k9_waybel_0(A)))) | (~v3_orders_2(k2_yellow_1(k9_waybel_0(A)))) | (~v4_orders_2(k2_yellow_1(k9_waybel_0(A)))) | (~v1_yellow_0(k2_yellow_1(k9_waybel_0(A)))) | (~v24_waybel_0(k2_yellow_1(k9_waybel_0(A)))) | (~v25_waybel_0(k2_yellow_1(k9_waybel_0(A)))) | (~v2_lattice3(k2_yellow_1(k9_waybel_0(A)))) | (~v3_lattice3(k2_yellow_1(k9_waybel_0(A)))))))))),
% 0.60/0.77 inference(bind,[status(th)],[])).
% 0.60/0.77 tff(144,plain,
% 0.60/0.77 (![A: $i] : ((~(v2_orders_2(A) & v3_orders_2(A) & v4_orders_2(A) & v2_lattice3(A) & v2_yellow_0(A) & l1_orders_2(A))) | ((~v3_struct_0(k2_yellow_1(k9_waybel_0(A)))) & v1_orders_2(k2_yellow_1(k9_waybel_0(A))) & v2_orders_2(k2_yellow_1(k9_waybel_0(A))) & v3_orders_2(k2_yellow_1(k9_waybel_0(A))) & v4_orders_2(k2_yellow_1(k9_waybel_0(A))) & v2_lattice3(k2_yellow_1(k9_waybel_0(A))) & v3_lattice3(k2_yellow_1(k9_waybel_0(A))) & v1_yellow_0(k2_yellow_1(k9_waybel_0(A))) & v24_waybel_0(k2_yellow_1(k9_waybel_0(A))) & v25_waybel_0(k2_yellow_1(k9_waybel_0(A))))) <=> ![A: $i] : ((~l1_orders_2(A)) | (~v2_lattice3(A)) | (~v2_orders_2(A)) | (~v3_orders_2(A)) | (~v4_orders_2(A)) | (~v2_yellow_0(A)) | (~(v3_struct_0(k2_yellow_1(k9_waybel_0(A))) | (~v1_orders_2(k2_yellow_1(k9_waybel_0(A)))) | (~v2_orders_2(k2_yellow_1(k9_waybel_0(A)))) | (~v3_orders_2(k2_yellow_1(k9_waybel_0(A)))) | (~v4_orders_2(k2_yellow_1(k9_waybel_0(A)))) | (~v1_yellow_0(k2_yellow_1(k9_waybel_0(A)))) | (~v24_waybel_0(k2_yellow_1(k9_waybel_0(A)))) | (~v25_waybel_0(k2_yellow_1(k9_waybel_0(A)))) | (~v2_lattice3(k2_yellow_1(k9_waybel_0(A)))) | (~v3_lattice3(k2_yellow_1(k9_waybel_0(A)))))))),
% 0.60/0.77 inference(quant_intro,[status(thm)],[143])).
% 0.60/0.77 tff(145,plain,
% 0.60/0.77 (![A: $i] : ((~(v2_orders_2(A) & v3_orders_2(A) & v4_orders_2(A) & v2_lattice3(A) & v2_yellow_0(A) & l1_orders_2(A))) | ((~v3_struct_0(k2_yellow_1(k9_waybel_0(A)))) & v1_orders_2(k2_yellow_1(k9_waybel_0(A))) & v2_orders_2(k2_yellow_1(k9_waybel_0(A))) & v3_orders_2(k2_yellow_1(k9_waybel_0(A))) & v4_orders_2(k2_yellow_1(k9_waybel_0(A))) & v2_lattice3(k2_yellow_1(k9_waybel_0(A))) & v3_lattice3(k2_yellow_1(k9_waybel_0(A))) & v1_yellow_0(k2_yellow_1(k9_waybel_0(A))) & v24_waybel_0(k2_yellow_1(k9_waybel_0(A))) & v25_waybel_0(k2_yellow_1(k9_waybel_0(A))))) <=> ![A: $i] : ((~(v2_orders_2(A) & v3_orders_2(A) & v4_orders_2(A) & v2_lattice3(A) & v2_yellow_0(A) & l1_orders_2(A))) | ((~v3_struct_0(k2_yellow_1(k9_waybel_0(A)))) & v1_orders_2(k2_yellow_1(k9_waybel_0(A))) & v2_orders_2(k2_yellow_1(k9_waybel_0(A))) & v3_orders_2(k2_yellow_1(k9_waybel_0(A))) & v4_orders_2(k2_yellow_1(k9_waybel_0(A))) & v2_lattice3(k2_yellow_1(k9_waybel_0(A))) & v3_lattice3(k2_yellow_1(k9_waybel_0(A))) & v1_yellow_0(k2_yellow_1(k9_waybel_0(A))) & v24_waybel_0(k2_yellow_1(k9_waybel_0(A))) & v25_waybel_0(k2_yellow_1(k9_waybel_0(A)))))),
% 0.60/0.77 inference(rewrite,[status(thm)],[])).
% 0.60/0.77 tff(146,plain,
% 0.60/0.77 (^[A: $i] : trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(rewrite(((v2_orders_2(A) & v3_orders_2(A)) & v4_orders_2(A)) <=> (v2_orders_2(A) & v3_orders_2(A) & v4_orders_2(A))), ((((v2_orders_2(A) & v3_orders_2(A)) & v4_orders_2(A)) & v2_lattice3(A)) <=> ((v2_orders_2(A) & v3_orders_2(A) & v4_orders_2(A)) & v2_lattice3(A)))), rewrite(((v2_orders_2(A) & v3_orders_2(A) & v4_orders_2(A)) & v2_lattice3(A)) <=> (v2_orders_2(A) & v3_orders_2(A) & v4_orders_2(A) & v2_lattice3(A))), ((((v2_orders_2(A) & v3_orders_2(A)) & v4_orders_2(A)) & v2_lattice3(A)) <=> (v2_orders_2(A) & v3_orders_2(A) & v4_orders_2(A) & v2_lattice3(A)))), (((((v2_orders_2(A) & v3_orders_2(A)) & v4_orders_2(A)) & v2_lattice3(A)) & v2_yellow_0(A)) <=> ((v2_orders_2(A) & v3_orders_2(A) & v4_orders_2(A) & v2_lattice3(A)) & v2_yellow_0(A)))), rewrite(((v2_orders_2(A) & v3_orders_2(A) & v4_orders_2(A) & v2_lattice3(A)) & v2_yellow_0(A)) <=> (v2_orders_2(A) & v3_orders_2(A) & v4_orders_2(A) & v2_lattice3(A) & v2_yellow_0(A))), (((((v2_orders_2(A) & v3_orders_2(A)) & v4_orders_2(A)) & v2_lattice3(A)) & v2_yellow_0(A)) <=> (v2_orders_2(A) & v3_orders_2(A) & v4_orders_2(A) & v2_lattice3(A) & v2_yellow_0(A)))), ((((((v2_orders_2(A) & v3_orders_2(A)) & v4_orders_2(A)) & v2_lattice3(A)) & v2_yellow_0(A)) & l1_orders_2(A)) <=> ((v2_orders_2(A) & v3_orders_2(A) & v4_orders_2(A) & v2_lattice3(A) & v2_yellow_0(A)) & l1_orders_2(A)))), rewrite(((v2_orders_2(A) & v3_orders_2(A) & v4_orders_2(A) & v2_lattice3(A) & v2_yellow_0(A)) & l1_orders_2(A)) <=> (v2_orders_2(A) & v3_orders_2(A) & v4_orders_2(A) & v2_lattice3(A) & v2_yellow_0(A) & l1_orders_2(A))), ((((((v2_orders_2(A) & v3_orders_2(A)) & v4_orders_2(A)) & v2_lattice3(A)) & v2_yellow_0(A)) & l1_orders_2(A)) <=> (v2_orders_2(A) & v3_orders_2(A) & v4_orders_2(A) & v2_lattice3(A) & v2_yellow_0(A) & l1_orders_2(A)))), trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(rewrite((((~v3_struct_0(k2_yellow_1(k9_waybel_0(A)))) & v1_orders_2(k2_yellow_1(k9_waybel_0(A)))) & v2_orders_2(k2_yellow_1(k9_waybel_0(A)))) <=> ((~v3_struct_0(k2_yellow_1(k9_waybel_0(A)))) & v1_orders_2(k2_yellow_1(k9_waybel_0(A))) & v2_orders_2(k2_yellow_1(k9_waybel_0(A))))), (((((~v3_struct_0(k2_yellow_1(k9_waybel_0(A)))) & v1_orders_2(k2_yellow_1(k9_waybel_0(A)))) & v2_orders_2(k2_yellow_1(k9_waybel_0(A)))) & v3_orders_2(k2_yellow_1(k9_waybel_0(A)))) <=> (((~v3_struct_0(k2_yellow_1(k9_waybel_0(A)))) & v1_orders_2(k2_yellow_1(k9_waybel_0(A))) & v2_orders_2(k2_yellow_1(k9_waybel_0(A)))) & v3_orders_2(k2_yellow_1(k9_waybel_0(A)))))), rewrite((((~v3_struct_0(k2_yellow_1(k9_waybel_0(A)))) & v1_orders_2(k2_yellow_1(k9_waybel_0(A))) & v2_orders_2(k2_yellow_1(k9_waybel_0(A)))) & v3_orders_2(k2_yellow_1(k9_waybel_0(A)))) <=> ((~v3_struct_0(k2_yellow_1(k9_waybel_0(A)))) & v1_orders_2(k2_yellow_1(k9_waybel_0(A))) & v2_orders_2(k2_yellow_1(k9_waybel_0(A))) & v3_orders_2(k2_yellow_1(k9_waybel_0(A))))), (((((~v3_struct_0(k2_yellow_1(k9_waybel_0(A)))) & v1_orders_2(k2_yellow_1(k9_waybel_0(A)))) & v2_orders_2(k2_yellow_1(k9_waybel_0(A)))) & v3_orders_2(k2_yellow_1(k9_waybel_0(A)))) <=> ((~v3_struct_0(k2_yellow_1(k9_waybel_0(A)))) & v1_orders_2(k2_yellow_1(k9_waybel_0(A))) & v2_orders_2(k2_yellow_1(k9_waybel_0(A))) & v3_orders_2(k2_yellow_1(k9_waybel_0(A)))))), ((((((~v3_struct_0(k2_yellow_1(k9_waybel_0(A)))) & v1_orders_2(k2_yellow_1(k9_waybel_0(A)))) & v2_orders_2(k2_yellow_1(k9_waybel_0(A)))) & v3_orders_2(k2_yellow_1(k9_waybel_0(A)))) & v4_orders_2(k2_yellow_1(k9_waybel_0(A)))) <=> (((~v3_struct_0(k2_yellow_1(k9_waybel_0(A)))) & v1_orders_2(k2_yellow_1(k9_waybel_0(A))) & v2_orders_2(k2_yellow_1(k9_waybel_0(A))) & v3_orders_2(k2_yellow_1(k9_waybel_0(A)))) & v4_orders_2(k2_yellow_1(k9_waybel_0(A)))))), rewrite((((~v3_struct_0(k2_yellow_1(k9_waybel_0(A)))) & v1_orders_2(k2_yellow_1(k9_waybel_0(A))) & v2_orders_2(k2_yellow_1(k9_waybel_0(A))) & v3_orders_2(k2_yellow_1(k9_waybel_0(A)))) & v4_orders_2(k2_yellow_1(k9_waybel_0(A)))) <=> ((~v3_struct_0(k2_yellow_1(k9_waybel_0(A)))) & v1_orders_2(k2_yellow_1(k9_waybel_0(A))) & v2_orders_2(k2_yellow_1(k9_waybel_0(A))) & v3_orders_2(k2_yellow_1(k9_waybel_0(A))) & v4_orders_2(k2_yellow_1(k9_waybel_0(A))))), ((((((~v3_struct_0(k2_yellow_1(k9_waybel_0(A)))) & v1_orders_2(k2_yellow_1(k9_waybel_0(A)))) & v2_orders_2(k2_yellow_1(k9_waybel_0(A)))) & v3_orders_2(k2_yellow_1(k9_waybel_0(A)))) & v4_orders_2(k2_yellow_1(k9_waybel_0(A)))) <=> ((~v3_struct_0(k2_yellow_1(k9_waybel_0(A)))) & v1_orders_2(k2_yellow_1(k9_waybel_0(A))) & v2_orders_2(k2_yellow_1(k9_waybel_0(A))) & v3_orders_2(k2_yellow_1(k9_waybel_0(A))) & v4_orders_2(k2_yellow_1(k9_waybel_0(A)))))), (((((((~v3_struct_0(k2_yellow_1(k9_waybel_0(A)))) & v1_orders_2(k2_yellow_1(k9_waybel_0(A)))) & v2_orders_2(k2_yellow_1(k9_waybel_0(A)))) & v3_orders_2(k2_yellow_1(k9_waybel_0(A)))) & v4_orders_2(k2_yellow_1(k9_waybel_0(A)))) & v2_lattice3(k2_yellow_1(k9_waybel_0(A)))) <=> (((~v3_struct_0(k2_yellow_1(k9_waybel_0(A)))) & v1_orders_2(k2_yellow_1(k9_waybel_0(A))) & v2_orders_2(k2_yellow_1(k9_waybel_0(A))) & v3_orders_2(k2_yellow_1(k9_waybel_0(A))) & v4_orders_2(k2_yellow_1(k9_waybel_0(A)))) & v2_lattice3(k2_yellow_1(k9_waybel_0(A)))))), rewrite((((~v3_struct_0(k2_yellow_1(k9_waybel_0(A)))) & v1_orders_2(k2_yellow_1(k9_waybel_0(A))) & v2_orders_2(k2_yellow_1(k9_waybel_0(A))) & v3_orders_2(k2_yellow_1(k9_waybel_0(A))) & v4_orders_2(k2_yellow_1(k9_waybel_0(A)))) & v2_lattice3(k2_yellow_1(k9_waybel_0(A)))) <=> ((~v3_struct_0(k2_yellow_1(k9_waybel_0(A)))) & v1_orders_2(k2_yellow_1(k9_waybel_0(A))) & v2_orders_2(k2_yellow_1(k9_waybel_0(A))) & v3_orders_2(k2_yellow_1(k9_waybel_0(A))) & v4_orders_2(k2_yellow_1(k9_waybel_0(A))) & v2_lattice3(k2_yellow_1(k9_waybel_0(A))))), (((((((~v3_struct_0(k2_yellow_1(k9_waybel_0(A)))) & v1_orders_2(k2_yellow_1(k9_waybel_0(A)))) & v2_orders_2(k2_yellow_1(k9_waybel_0(A)))) & v3_orders_2(k2_yellow_1(k9_waybel_0(A)))) & v4_orders_2(k2_yellow_1(k9_waybel_0(A)))) & v2_lattice3(k2_yellow_1(k9_waybel_0(A)))) <=> ((~v3_struct_0(k2_yellow_1(k9_waybel_0(A)))) & v1_orders_2(k2_yellow_1(k9_waybel_0(A))) & v2_orders_2(k2_yellow_1(k9_waybel_0(A))) & v3_orders_2(k2_yellow_1(k9_waybel_0(A))) & v4_orders_2(k2_yellow_1(k9_waybel_0(A))) & v2_lattice3(k2_yellow_1(k9_waybel_0(A)))))), ((((((((~v3_struct_0(k2_yellow_1(k9_waybel_0(A)))) & v1_orders_2(k2_yellow_1(k9_waybel_0(A)))) & v2_orders_2(k2_yellow_1(k9_waybel_0(A)))) & v3_orders_2(k2_yellow_1(k9_waybel_0(A)))) & v4_orders_2(k2_yellow_1(k9_waybel_0(A)))) & v2_lattice3(k2_yellow_1(k9_waybel_0(A)))) & v3_lattice3(k2_yellow_1(k9_waybel_0(A)))) <=> (((~v3_struct_0(k2_yellow_1(k9_waybel_0(A)))) & v1_orders_2(k2_yellow_1(k9_waybel_0(A))) & v2_orders_2(k2_yellow_1(k9_waybel_0(A))) & v3_orders_2(k2_yellow_1(k9_waybel_0(A))) & v4_orders_2(k2_yellow_1(k9_waybel_0(A))) & v2_lattice3(k2_yellow_1(k9_waybel_0(A)))) & v3_lattice3(k2_yellow_1(k9_waybel_0(A)))))), rewrite((((~v3_struct_0(k2_yellow_1(k9_waybel_0(A)))) & v1_orders_2(k2_yellow_1(k9_waybel_0(A))) & v2_orders_2(k2_yellow_1(k9_waybel_0(A))) & v3_orders_2(k2_yellow_1(k9_waybel_0(A))) & v4_orders_2(k2_yellow_1(k9_waybel_0(A))) & v2_lattice3(k2_yellow_1(k9_waybel_0(A)))) & v3_lattice3(k2_yellow_1(k9_waybel_0(A)))) <=> ((~v3_struct_0(k2_yellow_1(k9_waybel_0(A)))) & v1_orders_2(k2_yellow_1(k9_waybel_0(A))) & v2_orders_2(k2_yellow_1(k9_waybel_0(A))) & v3_orders_2(k2_yellow_1(k9_waybel_0(A))) & v4_orders_2(k2_yellow_1(k9_waybel_0(A))) & v2_lattice3(k2_yellow_1(k9_waybel_0(A))) & v3_lattice3(k2_yellow_1(k9_waybel_0(A))))), ((((((((~v3_struct_0(k2_yellow_1(k9_waybel_0(A)))) & v1_orders_2(k2_yellow_1(k9_waybel_0(A)))) & v2_orders_2(k2_yellow_1(k9_waybel_0(A)))) & v3_orders_2(k2_yellow_1(k9_waybel_0(A)))) & v4_orders_2(k2_yellow_1(k9_waybel_0(A)))) & v2_lattice3(k2_yellow_1(k9_waybel_0(A)))) & v3_lattice3(k2_yellow_1(k9_waybel_0(A)))) <=> ((~v3_struct_0(k2_yellow_1(k9_waybel_0(A)))) & v1_orders_2(k2_yellow_1(k9_waybel_0(A))) & v2_orders_2(k2_yellow_1(k9_waybel_0(A))) & v3_orders_2(k2_yellow_1(k9_waybel_0(A))) & v4_orders_2(k2_yellow_1(k9_waybel_0(A))) & v2_lattice3(k2_yellow_1(k9_waybel_0(A))) & v3_lattice3(k2_yellow_1(k9_waybel_0(A)))))), (((((((((~v3_struct_0(k2_yellow_1(k9_waybel_0(A)))) & v1_orders_2(k2_yellow_1(k9_waybel_0(A)))) & v2_orders_2(k2_yellow_1(k9_waybel_0(A)))) & v3_orders_2(k2_yellow_1(k9_waybel_0(A)))) & v4_orders_2(k2_yellow_1(k9_waybel_0(A)))) & v2_lattice3(k2_yellow_1(k9_waybel_0(A)))) & v3_lattice3(k2_yellow_1(k9_waybel_0(A)))) & v1_yellow_0(k2_yellow_1(k9_waybel_0(A)))) <=> (((~v3_struct_0(k2_yellow_1(k9_waybel_0(A)))) & v1_orders_2(k2_yellow_1(k9_waybel_0(A))) & v2_orders_2(k2_yellow_1(k9_waybel_0(A))) & v3_orders_2(k2_yellow_1(k9_waybel_0(A))) & v4_orders_2(k2_yellow_1(k9_waybel_0(A))) & v2_lattice3(k2_yellow_1(k9_waybel_0(A))) & v3_lattice3(k2_yellow_1(k9_waybel_0(A)))) & v1_yellow_0(k2_yellow_1(k9_waybel_0(A)))))), rewrite((((~v3_struct_0(k2_yellow_1(k9_waybel_0(A)))) & v1_orders_2(k2_yellow_1(k9_waybel_0(A))) & v2_orders_2(k2_yellow_1(k9_waybel_0(A))) & v3_orders_2(k2_yellow_1(k9_waybel_0(A))) & v4_orders_2(k2_yellow_1(k9_waybel_0(A))) & v2_lattice3(k2_yellow_1(k9_waybel_0(A))) & v3_lattice3(k2_yellow_1(k9_waybel_0(A)))) & v1_yellow_0(k2_yellow_1(k9_waybel_0(A)))) <=> ((~v3_struct_0(k2_yellow_1(k9_waybel_0(A)))) & v1_orders_2(k2_yellow_1(k9_waybel_0(A))) & v2_orders_2(k2_yellow_1(k9_waybel_0(A))) & v3_orders_2(k2_yellow_1(k9_waybel_0(A))) & v4_orders_2(k2_yellow_1(k9_waybel_0(A))) & v2_lattice3(k2_yellow_1(k9_waybel_0(A))) & v3_lattice3(k2_yellow_1(k9_waybel_0(A))) & v1_yellow_0(k2_yellow_1(k9_waybel_0(A))))), (((((((((~v3_struct_0(k2_yellow_1(k9_waybel_0(A)))) & v1_orders_2(k2_yellow_1(k9_waybel_0(A)))) & v2_orders_2(k2_yellow_1(k9_waybel_0(A)))) & v3_orders_2(k2_yellow_1(k9_waybel_0(A)))) & v4_orders_2(k2_yellow_1(k9_waybel_0(A)))) & v2_lattice3(k2_yellow_1(k9_waybel_0(A)))) & v3_lattice3(k2_yellow_1(k9_waybel_0(A)))) & v1_yellow_0(k2_yellow_1(k9_waybel_0(A)))) <=> ((~v3_struct_0(k2_yellow_1(k9_waybel_0(A)))) & v1_orders_2(k2_yellow_1(k9_waybel_0(A))) & v2_orders_2(k2_yellow_1(k9_waybel_0(A))) & v3_orders_2(k2_yellow_1(k9_waybel_0(A))) & v4_orders_2(k2_yellow_1(k9_waybel_0(A))) & v2_lattice3(k2_yellow_1(k9_waybel_0(A))) & v3_lattice3(k2_yellow_1(k9_waybel_0(A))) & v1_yellow_0(k2_yellow_1(k9_waybel_0(A)))))), ((((((((((~v3_struct_0(k2_yellow_1(k9_waybel_0(A)))) & v1_orders_2(k2_yellow_1(k9_waybel_0(A)))) & v2_orders_2(k2_yellow_1(k9_waybel_0(A)))) & v3_orders_2(k2_yellow_1(k9_waybel_0(A)))) & v4_orders_2(k2_yellow_1(k9_waybel_0(A)))) & v2_lattice3(k2_yellow_1(k9_waybel_0(A)))) & v3_lattice3(k2_yellow_1(k9_waybel_0(A)))) & v1_yellow_0(k2_yellow_1(k9_waybel_0(A)))) & v24_waybel_0(k2_yellow_1(k9_waybel_0(A)))) <=> (((~v3_struct_0(k2_yellow_1(k9_waybel_0(A)))) & v1_orders_2(k2_yellow_1(k9_waybel_0(A))) & v2_orders_2(k2_yellow_1(k9_waybel_0(A))) & v3_orders_2(k2_yellow_1(k9_waybel_0(A))) & v4_orders_2(k2_yellow_1(k9_waybel_0(A))) & v2_lattice3(k2_yellow_1(k9_waybel_0(A))) & v3_lattice3(k2_yellow_1(k9_waybel_0(A))) & v1_yellow_0(k2_yellow_1(k9_waybel_0(A)))) & v24_waybel_0(k2_yellow_1(k9_waybel_0(A)))))), rewrite((((~v3_struct_0(k2_yellow_1(k9_waybel_0(A)))) & v1_orders_2(k2_yellow_1(k9_waybel_0(A))) & v2_orders_2(k2_yellow_1(k9_waybel_0(A))) & v3_orders_2(k2_yellow_1(k9_waybel_0(A))) & v4_orders_2(k2_yellow_1(k9_waybel_0(A))) & v2_lattice3(k2_yellow_1(k9_waybel_0(A))) & v3_lattice3(k2_yellow_1(k9_waybel_0(A))) & v1_yellow_0(k2_yellow_1(k9_waybel_0(A)))) & v24_waybel_0(k2_yellow_1(k9_waybel_0(A)))) <=> ((~v3_struct_0(k2_yellow_1(k9_waybel_0(A)))) & v1_orders_2(k2_yellow_1(k9_waybel_0(A))) & v2_orders_2(k2_yellow_1(k9_waybel_0(A))) & v3_orders_2(k2_yellow_1(k9_waybel_0(A))) & v4_orders_2(k2_yellow_1(k9_waybel_0(A))) & v2_lattice3(k2_yellow_1(k9_waybel_0(A))) & v3_lattice3(k2_yellow_1(k9_waybel_0(A))) & v1_yellow_0(k2_yellow_1(k9_waybel_0(A))) & v24_waybel_0(k2_yellow_1(k9_waybel_0(A))))), ((((((((((~v3_struct_0(k2_yellow_1(k9_waybel_0(A)))) & v1_orders_2(k2_yellow_1(k9_waybel_0(A)))) & v2_orders_2(k2_yellow_1(k9_waybel_0(A)))) & v3_orders_2(k2_yellow_1(k9_waybel_0(A)))) & v4_orders_2(k2_yellow_1(k9_waybel_0(A)))) & v2_lattice3(k2_yellow_1(k9_waybel_0(A)))) & v3_lattice3(k2_yellow_1(k9_waybel_0(A)))) & v1_yellow_0(k2_yellow_1(k9_waybel_0(A)))) & v24_waybel_0(k2_yellow_1(k9_waybel_0(A)))) <=> ((~v3_struct_0(k2_yellow_1(k9_waybel_0(A)))) & v1_orders_2(k2_yellow_1(k9_waybel_0(A))) & v2_orders_2(k2_yellow_1(k9_waybel_0(A))) & v3_orders_2(k2_yellow_1(k9_waybel_0(A))) & v4_orders_2(k2_yellow_1(k9_waybel_0(A))) & v2_lattice3(k2_yellow_1(k9_waybel_0(A))) & v3_lattice3(k2_yellow_1(k9_waybel_0(A))) & v1_yellow_0(k2_yellow_1(k9_waybel_0(A))) & v24_waybel_0(k2_yellow_1(k9_waybel_0(A)))))), (((((((((((~v3_struct_0(k2_yellow_1(k9_waybel_0(A)))) & v1_orders_2(k2_yellow_1(k9_waybel_0(A)))) & v2_orders_2(k2_yellow_1(k9_waybel_0(A)))) & v3_orders_2(k2_yellow_1(k9_waybel_0(A)))) & v4_orders_2(k2_yellow_1(k9_waybel_0(A)))) & v2_lattice3(k2_yellow_1(k9_waybel_0(A)))) & v3_lattice3(k2_yellow_1(k9_waybel_0(A)))) & v1_yellow_0(k2_yellow_1(k9_waybel_0(A)))) & v24_waybel_0(k2_yellow_1(k9_waybel_0(A)))) & v25_waybel_0(k2_yellow_1(k9_waybel_0(A)))) <=> (((~v3_struct_0(k2_yellow_1(k9_waybel_0(A)))) & v1_orders_2(k2_yellow_1(k9_waybel_0(A))) & v2_orders_2(k2_yellow_1(k9_waybel_0(A))) & v3_orders_2(k2_yellow_1(k9_waybel_0(A))) & v4_orders_2(k2_yellow_1(k9_waybel_0(A))) & v2_lattice3(k2_yellow_1(k9_waybel_0(A))) & v3_lattice3(k2_yellow_1(k9_waybel_0(A))) & v1_yellow_0(k2_yellow_1(k9_waybel_0(A))) & v24_waybel_0(k2_yellow_1(k9_waybel_0(A)))) & v25_waybel_0(k2_yellow_1(k9_waybel_0(A)))))), rewrite((((~v3_struct_0(k2_yellow_1(k9_waybel_0(A)))) & v1_orders_2(k2_yellow_1(k9_waybel_0(A))) & v2_orders_2(k2_yellow_1(k9_waybel_0(A))) & v3_orders_2(k2_yellow_1(k9_waybel_0(A))) & v4_orders_2(k2_yellow_1(k9_waybel_0(A))) & v2_lattice3(k2_yellow_1(k9_waybel_0(A))) & v3_lattice3(k2_yellow_1(k9_waybel_0(A))) & v1_yellow_0(k2_yellow_1(k9_waybel_0(A))) & v24_waybel_0(k2_yellow_1(k9_waybel_0(A)))) & v25_waybel_0(k2_yellow_1(k9_waybel_0(A)))) <=> ((~v3_struct_0(k2_yellow_1(k9_waybel_0(A)))) & v1_orders_2(k2_yellow_1(k9_waybel_0(A))) & v2_orders_2(k2_yellow_1(k9_waybel_0(A))) & v3_orders_2(k2_yellow_1(k9_waybel_0(A))) & v4_orders_2(k2_yellow_1(k9_waybel_0(A))) & v2_lattice3(k2_yellow_1(k9_waybel_0(A))) & v3_lattice3(k2_yellow_1(k9_waybel_0(A))) & v1_yellow_0(k2_yellow_1(k9_waybel_0(A))) & v24_waybel_0(k2_yellow_1(k9_waybel_0(A))) & v25_waybel_0(k2_yellow_1(k9_waybel_0(A))))), (((((((((((~v3_struct_0(k2_yellow_1(k9_waybel_0(A)))) & v1_orders_2(k2_yellow_1(k9_waybel_0(A)))) & v2_orders_2(k2_yellow_1(k9_waybel_0(A)))) & v3_orders_2(k2_yellow_1(k9_waybel_0(A)))) & v4_orders_2(k2_yellow_1(k9_waybel_0(A)))) & v2_lattice3(k2_yellow_1(k9_waybel_0(A)))) & v3_lattice3(k2_yellow_1(k9_waybel_0(A)))) & v1_yellow_0(k2_yellow_1(k9_waybel_0(A)))) & v24_waybel_0(k2_yellow_1(k9_waybel_0(A)))) & v25_waybel_0(k2_yellow_1(k9_waybel_0(A)))) <=> ((~v3_struct_0(k2_yellow_1(k9_waybel_0(A)))) & v1_orders_2(k2_yellow_1(k9_waybel_0(A))) & v2_orders_2(k2_yellow_1(k9_waybel_0(A))) & v3_orders_2(k2_yellow_1(k9_waybel_0(A))) & v4_orders_2(k2_yellow_1(k9_waybel_0(A))) & v2_lattice3(k2_yellow_1(k9_waybel_0(A))) & v3_lattice3(k2_yellow_1(k9_waybel_0(A))) & v1_yellow_0(k2_yellow_1(k9_waybel_0(A))) & v24_waybel_0(k2_yellow_1(k9_waybel_0(A))) & v25_waybel_0(k2_yellow_1(k9_waybel_0(A)))))), (((((((v2_orders_2(A) & v3_orders_2(A)) & v4_orders_2(A)) & v2_lattice3(A)) & v2_yellow_0(A)) & l1_orders_2(A)) => ((((((((((~v3_struct_0(k2_yellow_1(k9_waybel_0(A)))) & v1_orders_2(k2_yellow_1(k9_waybel_0(A)))) & v2_orders_2(k2_yellow_1(k9_waybel_0(A)))) & v3_orders_2(k2_yellow_1(k9_waybel_0(A)))) & v4_orders_2(k2_yellow_1(k9_waybel_0(A)))) & v2_lattice3(k2_yellow_1(k9_waybel_0(A)))) & v3_lattice3(k2_yellow_1(k9_waybel_0(A)))) & v1_yellow_0(k2_yellow_1(k9_waybel_0(A)))) & v24_waybel_0(k2_yellow_1(k9_waybel_0(A)))) & v25_waybel_0(k2_yellow_1(k9_waybel_0(A))))) <=> ((v2_orders_2(A) & v3_orders_2(A) & v4_orders_2(A) & v2_lattice3(A) & v2_yellow_0(A) & l1_orders_2(A)) => ((~v3_struct_0(k2_yellow_1(k9_waybel_0(A)))) & v1_orders_2(k2_yellow_1(k9_waybel_0(A))) & v2_orders_2(k2_yellow_1(k9_waybel_0(A))) & v3_orders_2(k2_yellow_1(k9_waybel_0(A))) & v4_orders_2(k2_yellow_1(k9_waybel_0(A))) & v2_lattice3(k2_yellow_1(k9_waybel_0(A))) & v3_lattice3(k2_yellow_1(k9_waybel_0(A))) & v1_yellow_0(k2_yellow_1(k9_waybel_0(A))) & v24_waybel_0(k2_yellow_1(k9_waybel_0(A))) & v25_waybel_0(k2_yellow_1(k9_waybel_0(A))))))), rewrite(((v2_orders_2(A) & v3_orders_2(A) & v4_orders_2(A) & v2_lattice3(A) & v2_yellow_0(A) & l1_orders_2(A)) => ((~v3_struct_0(k2_yellow_1(k9_waybel_0(A)))) & v1_orders_2(k2_yellow_1(k9_waybel_0(A))) & v2_orders_2(k2_yellow_1(k9_waybel_0(A))) & v3_orders_2(k2_yellow_1(k9_waybel_0(A))) & v4_orders_2(k2_yellow_1(k9_waybel_0(A))) & v2_lattice3(k2_yellow_1(k9_waybel_0(A))) & v3_lattice3(k2_yellow_1(k9_waybel_0(A))) & v1_yellow_0(k2_yellow_1(k9_waybel_0(A))) & v24_waybel_0(k2_yellow_1(k9_waybel_0(A))) & v25_waybel_0(k2_yellow_1(k9_waybel_0(A))))) <=> ((~(v2_orders_2(A) & v3_orders_2(A) & v4_orders_2(A) & v2_lattice3(A) & v2_yellow_0(A) & l1_orders_2(A))) | ((~v3_struct_0(k2_yellow_1(k9_waybel_0(A)))) & v1_orders_2(k2_yellow_1(k9_waybel_0(A))) & v2_orders_2(k2_yellow_1(k9_waybel_0(A))) & v3_orders_2(k2_yellow_1(k9_waybel_0(A))) & v4_orders_2(k2_yellow_1(k9_waybel_0(A))) & v2_lattice3(k2_yellow_1(k9_waybel_0(A))) & v3_lattice3(k2_yellow_1(k9_waybel_0(A))) & v1_yellow_0(k2_yellow_1(k9_waybel_0(A))) & v24_waybel_0(k2_yellow_1(k9_waybel_0(A))) & v25_waybel_0(k2_yellow_1(k9_waybel_0(A)))))), (((((((v2_orders_2(A) & v3_orders_2(A)) & v4_orders_2(A)) & v2_lattice3(A)) & v2_yellow_0(A)) & l1_orders_2(A)) => ((((((((((~v3_struct_0(k2_yellow_1(k9_waybel_0(A)))) & v1_orders_2(k2_yellow_1(k9_waybel_0(A)))) & v2_orders_2(k2_yellow_1(k9_waybel_0(A)))) & v3_orders_2(k2_yellow_1(k9_waybel_0(A)))) & v4_orders_2(k2_yellow_1(k9_waybel_0(A)))) & v2_lattice3(k2_yellow_1(k9_waybel_0(A)))) & v3_lattice3(k2_yellow_1(k9_waybel_0(A)))) & v1_yellow_0(k2_yellow_1(k9_waybel_0(A)))) & v24_waybel_0(k2_yellow_1(k9_waybel_0(A)))) & v25_waybel_0(k2_yellow_1(k9_waybel_0(A))))) <=> ((~(v2_orders_2(A) & v3_orders_2(A) & v4_orders_2(A) & v2_lattice3(A) & v2_yellow_0(A) & l1_orders_2(A))) | ((~v3_struct_0(k2_yellow_1(k9_waybel_0(A)))) & v1_orders_2(k2_yellow_1(k9_waybel_0(A))) & v2_orders_2(k2_yellow_1(k9_waybel_0(A))) & v3_orders_2(k2_yellow_1(k9_waybel_0(A))) & v4_orders_2(k2_yellow_1(k9_waybel_0(A))) & v2_lattice3(k2_yellow_1(k9_waybel_0(A))) & v3_lattice3(k2_yellow_1(k9_waybel_0(A))) & v1_yellow_0(k2_yellow_1(k9_waybel_0(A))) & v24_waybel_0(k2_yellow_1(k9_waybel_0(A))) & v25_waybel_0(k2_yellow_1(k9_waybel_0(A)))))))),
% 0.60/0.78 inference(bind,[status(th)],[])).
% 0.60/0.78 tff(147,plain,
% 0.60/0.78 (![A: $i] : ((((((v2_orders_2(A) & v3_orders_2(A)) & v4_orders_2(A)) & v2_lattice3(A)) & v2_yellow_0(A)) & l1_orders_2(A)) => ((((((((((~v3_struct_0(k2_yellow_1(k9_waybel_0(A)))) & v1_orders_2(k2_yellow_1(k9_waybel_0(A)))) & v2_orders_2(k2_yellow_1(k9_waybel_0(A)))) & v3_orders_2(k2_yellow_1(k9_waybel_0(A)))) & v4_orders_2(k2_yellow_1(k9_waybel_0(A)))) & v2_lattice3(k2_yellow_1(k9_waybel_0(A)))) & v3_lattice3(k2_yellow_1(k9_waybel_0(A)))) & v1_yellow_0(k2_yellow_1(k9_waybel_0(A)))) & v24_waybel_0(k2_yellow_1(k9_waybel_0(A)))) & v25_waybel_0(k2_yellow_1(k9_waybel_0(A))))) <=> ![A: $i] : ((~(v2_orders_2(A) & v3_orders_2(A) & v4_orders_2(A) & v2_lattice3(A) & v2_yellow_0(A) & l1_orders_2(A))) | ((~v3_struct_0(k2_yellow_1(k9_waybel_0(A)))) & v1_orders_2(k2_yellow_1(k9_waybel_0(A))) & v2_orders_2(k2_yellow_1(k9_waybel_0(A))) & v3_orders_2(k2_yellow_1(k9_waybel_0(A))) & v4_orders_2(k2_yellow_1(k9_waybel_0(A))) & v2_lattice3(k2_yellow_1(k9_waybel_0(A))) & v3_lattice3(k2_yellow_1(k9_waybel_0(A))) & v1_yellow_0(k2_yellow_1(k9_waybel_0(A))) & v24_waybel_0(k2_yellow_1(k9_waybel_0(A))) & v25_waybel_0(k2_yellow_1(k9_waybel_0(A)))))),
% 0.60/0.78 inference(quant_intro,[status(thm)],[146])).
% 0.60/0.78 tff(148,axiom,(![A: $i] : ((((((v2_orders_2(A) & v3_orders_2(A)) & v4_orders_2(A)) & v2_lattice3(A)) & v2_yellow_0(A)) & l1_orders_2(A)) => ((((((((((~v3_struct_0(k2_yellow_1(k9_waybel_0(A)))) & v1_orders_2(k2_yellow_1(k9_waybel_0(A)))) & v2_orders_2(k2_yellow_1(k9_waybel_0(A)))) & v3_orders_2(k2_yellow_1(k9_waybel_0(A)))) & v4_orders_2(k2_yellow_1(k9_waybel_0(A)))) & v2_lattice3(k2_yellow_1(k9_waybel_0(A)))) & v3_lattice3(k2_yellow_1(k9_waybel_0(A)))) & v1_yellow_0(k2_yellow_1(k9_waybel_0(A)))) & v24_waybel_0(k2_yellow_1(k9_waybel_0(A)))) & v25_waybel_0(k2_yellow_1(k9_waybel_0(A)))))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','fc2_waybel16')).
% 0.60/0.78 tff(149,plain,
% 0.60/0.78 (![A: $i] : ((~(v2_orders_2(A) & v3_orders_2(A) & v4_orders_2(A) & v2_lattice3(A) & v2_yellow_0(A) & l1_orders_2(A))) | ((~v3_struct_0(k2_yellow_1(k9_waybel_0(A)))) & v1_orders_2(k2_yellow_1(k9_waybel_0(A))) & v2_orders_2(k2_yellow_1(k9_waybel_0(A))) & v3_orders_2(k2_yellow_1(k9_waybel_0(A))) & v4_orders_2(k2_yellow_1(k9_waybel_0(A))) & v2_lattice3(k2_yellow_1(k9_waybel_0(A))) & v3_lattice3(k2_yellow_1(k9_waybel_0(A))) & v1_yellow_0(k2_yellow_1(k9_waybel_0(A))) & v24_waybel_0(k2_yellow_1(k9_waybel_0(A))) & v25_waybel_0(k2_yellow_1(k9_waybel_0(A)))))),
% 0.60/0.78 inference(modus_ponens,[status(thm)],[148, 147])).
% 0.60/0.78 tff(150,plain,
% 0.60/0.78 (![A: $i] : ((~(v2_orders_2(A) & v3_orders_2(A) & v4_orders_2(A) & v2_lattice3(A) & v2_yellow_0(A) & l1_orders_2(A))) | ((~v3_struct_0(k2_yellow_1(k9_waybel_0(A)))) & v1_orders_2(k2_yellow_1(k9_waybel_0(A))) & v2_orders_2(k2_yellow_1(k9_waybel_0(A))) & v3_orders_2(k2_yellow_1(k9_waybel_0(A))) & v4_orders_2(k2_yellow_1(k9_waybel_0(A))) & v2_lattice3(k2_yellow_1(k9_waybel_0(A))) & v3_lattice3(k2_yellow_1(k9_waybel_0(A))) & v1_yellow_0(k2_yellow_1(k9_waybel_0(A))) & v24_waybel_0(k2_yellow_1(k9_waybel_0(A))) & v25_waybel_0(k2_yellow_1(k9_waybel_0(A)))))),
% 0.60/0.78 inference(modus_ponens,[status(thm)],[149, 145])).
% 0.60/0.78 tff(151,plain,(
% 0.60/0.78 ![A: $i] : ((~(v2_orders_2(A) & v3_orders_2(A) & v4_orders_2(A) & v2_lattice3(A) & v2_yellow_0(A) & l1_orders_2(A))) | ((~v3_struct_0(k2_yellow_1(k9_waybel_0(A)))) & v1_orders_2(k2_yellow_1(k9_waybel_0(A))) & v2_orders_2(k2_yellow_1(k9_waybel_0(A))) & v3_orders_2(k2_yellow_1(k9_waybel_0(A))) & v4_orders_2(k2_yellow_1(k9_waybel_0(A))) & v2_lattice3(k2_yellow_1(k9_waybel_0(A))) & v3_lattice3(k2_yellow_1(k9_waybel_0(A))) & v1_yellow_0(k2_yellow_1(k9_waybel_0(A))) & v24_waybel_0(k2_yellow_1(k9_waybel_0(A))) & v25_waybel_0(k2_yellow_1(k9_waybel_0(A)))))),
% 0.60/0.78 inference(skolemize,[status(sab)],[150])).
% 0.60/0.78 tff(152,plain,
% 0.60/0.78 (![A: $i] : ((~l1_orders_2(A)) | (~v2_lattice3(A)) | (~v2_orders_2(A)) | (~v3_orders_2(A)) | (~v4_orders_2(A)) | (~v2_yellow_0(A)) | (~(v3_struct_0(k2_yellow_1(k9_waybel_0(A))) | (~v1_orders_2(k2_yellow_1(k9_waybel_0(A)))) | (~v2_orders_2(k2_yellow_1(k9_waybel_0(A)))) | (~v3_orders_2(k2_yellow_1(k9_waybel_0(A)))) | (~v4_orders_2(k2_yellow_1(k9_waybel_0(A)))) | (~v1_yellow_0(k2_yellow_1(k9_waybel_0(A)))) | (~v24_waybel_0(k2_yellow_1(k9_waybel_0(A)))) | (~v25_waybel_0(k2_yellow_1(k9_waybel_0(A)))) | (~v2_lattice3(k2_yellow_1(k9_waybel_0(A)))) | (~v3_lattice3(k2_yellow_1(k9_waybel_0(A)))))))),
% 0.60/0.78 inference(modus_ponens,[status(thm)],[151, 144])).
% 0.60/0.78 tff(153,plain,
% 0.60/0.78 (![A: $i] : ((~l1_orders_2(A)) | (~v2_lattice3(A)) | (~v2_orders_2(A)) | (~v3_orders_2(A)) | (~v4_orders_2(A)) | (~v2_yellow_0(A)) | (~(v3_struct_0(k2_yellow_1(k9_waybel_0(A))) | (~v1_orders_2(k2_yellow_1(k9_waybel_0(A)))) | (~v2_orders_2(k2_yellow_1(k9_waybel_0(A)))) | (~v3_orders_2(k2_yellow_1(k9_waybel_0(A)))) | (~v4_orders_2(k2_yellow_1(k9_waybel_0(A)))) | (~v1_yellow_0(k2_yellow_1(k9_waybel_0(A)))) | (~v24_waybel_0(k2_yellow_1(k9_waybel_0(A)))) | (~v25_waybel_0(k2_yellow_1(k9_waybel_0(A)))) | (~v2_lattice3(k2_yellow_1(k9_waybel_0(A)))) | (~v3_lattice3(k2_yellow_1(k9_waybel_0(A)))))))),
% 0.60/0.78 inference(modus_ponens,[status(thm)],[152, 142])).
% 0.60/0.78 tff(154,plain,
% 0.60/0.78 (((~![A: $i] : ((~l1_orders_2(A)) | (~v2_lattice3(A)) | (~v2_orders_2(A)) | (~v3_orders_2(A)) | (~v4_orders_2(A)) | (~v2_yellow_0(A)) | (~(v3_struct_0(k2_yellow_1(k9_waybel_0(A))) | (~v1_orders_2(k2_yellow_1(k9_waybel_0(A)))) | (~v2_orders_2(k2_yellow_1(k9_waybel_0(A)))) | (~v3_orders_2(k2_yellow_1(k9_waybel_0(A)))) | (~v4_orders_2(k2_yellow_1(k9_waybel_0(A)))) | (~v1_yellow_0(k2_yellow_1(k9_waybel_0(A)))) | (~v24_waybel_0(k2_yellow_1(k9_waybel_0(A)))) | (~v25_waybel_0(k2_yellow_1(k9_waybel_0(A)))) | (~v2_lattice3(k2_yellow_1(k9_waybel_0(A)))) | (~v3_lattice3(k2_yellow_1(k9_waybel_0(A)))))))) | ((~l1_orders_2(k3_yellow_1(A!1))) | (~v2_lattice3(k3_yellow_1(A!1))) | (~v2_orders_2(k3_yellow_1(A!1))) | (~v3_orders_2(k3_yellow_1(A!1))) | (~v4_orders_2(k3_yellow_1(A!1))) | (~v2_yellow_0(k3_yellow_1(A!1))) | (~(v3_struct_0(k2_yellow_1(k9_waybel_0(k3_yellow_1(A!1)))) | (~v1_orders_2(k2_yellow_1(k9_waybel_0(k3_yellow_1(A!1))))) | (~v2_orders_2(k2_yellow_1(k9_waybel_0(k3_yellow_1(A!1))))) | (~v3_orders_2(k2_yellow_1(k9_waybel_0(k3_yellow_1(A!1))))) | (~v4_orders_2(k2_yellow_1(k9_waybel_0(k3_yellow_1(A!1))))) | (~v1_yellow_0(k2_yellow_1(k9_waybel_0(k3_yellow_1(A!1))))) | (~v24_waybel_0(k2_yellow_1(k9_waybel_0(k3_yellow_1(A!1))))) | (~v25_waybel_0(k2_yellow_1(k9_waybel_0(k3_yellow_1(A!1))))) | (~v2_lattice3(k2_yellow_1(k9_waybel_0(k3_yellow_1(A!1))))) | (~v3_lattice3(k2_yellow_1(k9_waybel_0(k3_yellow_1(A!1))))))))) <=> ((~![A: $i] : ((~l1_orders_2(A)) | (~v2_lattice3(A)) | (~v2_orders_2(A)) | (~v3_orders_2(A)) | (~v4_orders_2(A)) | (~v2_yellow_0(A)) | (~(v3_struct_0(k2_yellow_1(k9_waybel_0(A))) | (~v1_orders_2(k2_yellow_1(k9_waybel_0(A)))) | (~v2_orders_2(k2_yellow_1(k9_waybel_0(A)))) | (~v3_orders_2(k2_yellow_1(k9_waybel_0(A)))) | (~v4_orders_2(k2_yellow_1(k9_waybel_0(A)))) | (~v1_yellow_0(k2_yellow_1(k9_waybel_0(A)))) | (~v24_waybel_0(k2_yellow_1(k9_waybel_0(A)))) | (~v25_waybel_0(k2_yellow_1(k9_waybel_0(A)))) | (~v2_lattice3(k2_yellow_1(k9_waybel_0(A)))) | (~v3_lattice3(k2_yellow_1(k9_waybel_0(A)))))))) | (~l1_orders_2(k3_yellow_1(A!1))) | (~v2_lattice3(k3_yellow_1(A!1))) | (~v2_orders_2(k3_yellow_1(A!1))) | (~v3_orders_2(k3_yellow_1(A!1))) | (~v4_orders_2(k3_yellow_1(A!1))) | (~v2_yellow_0(k3_yellow_1(A!1))) | (~(v3_struct_0(k2_yellow_1(k9_waybel_0(k3_yellow_1(A!1)))) | (~v1_orders_2(k2_yellow_1(k9_waybel_0(k3_yellow_1(A!1))))) | (~v2_orders_2(k2_yellow_1(k9_waybel_0(k3_yellow_1(A!1))))) | (~v3_orders_2(k2_yellow_1(k9_waybel_0(k3_yellow_1(A!1))))) | (~v4_orders_2(k2_yellow_1(k9_waybel_0(k3_yellow_1(A!1))))) | (~v1_yellow_0(k2_yellow_1(k9_waybel_0(k3_yellow_1(A!1))))) | (~v24_waybel_0(k2_yellow_1(k9_waybel_0(k3_yellow_1(A!1))))) | (~v25_waybel_0(k2_yellow_1(k9_waybel_0(k3_yellow_1(A!1))))) | (~v2_lattice3(k2_yellow_1(k9_waybel_0(k3_yellow_1(A!1))))) | (~v3_lattice3(k2_yellow_1(k9_waybel_0(k3_yellow_1(A!1))))))))),
% 0.60/0.78 inference(rewrite,[status(thm)],[])).
% 0.60/0.78 tff(155,plain,
% 0.60/0.78 ((~![A: $i] : ((~l1_orders_2(A)) | (~v2_lattice3(A)) | (~v2_orders_2(A)) | (~v3_orders_2(A)) | (~v4_orders_2(A)) | (~v2_yellow_0(A)) | (~(v3_struct_0(k2_yellow_1(k9_waybel_0(A))) | (~v1_orders_2(k2_yellow_1(k9_waybel_0(A)))) | (~v2_orders_2(k2_yellow_1(k9_waybel_0(A)))) | (~v3_orders_2(k2_yellow_1(k9_waybel_0(A)))) | (~v4_orders_2(k2_yellow_1(k9_waybel_0(A)))) | (~v1_yellow_0(k2_yellow_1(k9_waybel_0(A)))) | (~v24_waybel_0(k2_yellow_1(k9_waybel_0(A)))) | (~v25_waybel_0(k2_yellow_1(k9_waybel_0(A)))) | (~v2_lattice3(k2_yellow_1(k9_waybel_0(A)))) | (~v3_lattice3(k2_yellow_1(k9_waybel_0(A)))))))) | ((~l1_orders_2(k3_yellow_1(A!1))) | (~v2_lattice3(k3_yellow_1(A!1))) | (~v2_orders_2(k3_yellow_1(A!1))) | (~v3_orders_2(k3_yellow_1(A!1))) | (~v4_orders_2(k3_yellow_1(A!1))) | (~v2_yellow_0(k3_yellow_1(A!1))) | (~(v3_struct_0(k2_yellow_1(k9_waybel_0(k3_yellow_1(A!1)))) | (~v1_orders_2(k2_yellow_1(k9_waybel_0(k3_yellow_1(A!1))))) | (~v2_orders_2(k2_yellow_1(k9_waybel_0(k3_yellow_1(A!1))))) | (~v3_orders_2(k2_yellow_1(k9_waybel_0(k3_yellow_1(A!1))))) | (~v4_orders_2(k2_yellow_1(k9_waybel_0(k3_yellow_1(A!1))))) | (~v1_yellow_0(k2_yellow_1(k9_waybel_0(k3_yellow_1(A!1))))) | (~v24_waybel_0(k2_yellow_1(k9_waybel_0(k3_yellow_1(A!1))))) | (~v25_waybel_0(k2_yellow_1(k9_waybel_0(k3_yellow_1(A!1))))) | (~v2_lattice3(k2_yellow_1(k9_waybel_0(k3_yellow_1(A!1))))) | (~v3_lattice3(k2_yellow_1(k9_waybel_0(k3_yellow_1(A!1))))))))),
% 0.60/0.78 inference(quant_inst,[status(thm)],[])).
% 0.60/0.78 tff(156,plain,
% 0.60/0.78 ((~![A: $i] : ((~l1_orders_2(A)) | (~v2_lattice3(A)) | (~v2_orders_2(A)) | (~v3_orders_2(A)) | (~v4_orders_2(A)) | (~v2_yellow_0(A)) | (~(v3_struct_0(k2_yellow_1(k9_waybel_0(A))) | (~v1_orders_2(k2_yellow_1(k9_waybel_0(A)))) | (~v2_orders_2(k2_yellow_1(k9_waybel_0(A)))) | (~v3_orders_2(k2_yellow_1(k9_waybel_0(A)))) | (~v4_orders_2(k2_yellow_1(k9_waybel_0(A)))) | (~v1_yellow_0(k2_yellow_1(k9_waybel_0(A)))) | (~v24_waybel_0(k2_yellow_1(k9_waybel_0(A)))) | (~v25_waybel_0(k2_yellow_1(k9_waybel_0(A)))) | (~v2_lattice3(k2_yellow_1(k9_waybel_0(A)))) | (~v3_lattice3(k2_yellow_1(k9_waybel_0(A)))))))) | (~l1_orders_2(k3_yellow_1(A!1))) | (~v2_lattice3(k3_yellow_1(A!1))) | (~v2_orders_2(k3_yellow_1(A!1))) | (~v3_orders_2(k3_yellow_1(A!1))) | (~v4_orders_2(k3_yellow_1(A!1))) | (~v2_yellow_0(k3_yellow_1(A!1))) | (~(v3_struct_0(k2_yellow_1(k9_waybel_0(k3_yellow_1(A!1)))) | (~v1_orders_2(k2_yellow_1(k9_waybel_0(k3_yellow_1(A!1))))) | (~v2_orders_2(k2_yellow_1(k9_waybel_0(k3_yellow_1(A!1))))) | (~v3_orders_2(k2_yellow_1(k9_waybel_0(k3_yellow_1(A!1))))) | (~v4_orders_2(k2_yellow_1(k9_waybel_0(k3_yellow_1(A!1))))) | (~v1_yellow_0(k2_yellow_1(k9_waybel_0(k3_yellow_1(A!1))))) | (~v24_waybel_0(k2_yellow_1(k9_waybel_0(k3_yellow_1(A!1))))) | (~v25_waybel_0(k2_yellow_1(k9_waybel_0(k3_yellow_1(A!1))))) | (~v2_lattice3(k2_yellow_1(k9_waybel_0(k3_yellow_1(A!1))))) | (~v3_lattice3(k2_yellow_1(k9_waybel_0(k3_yellow_1(A!1)))))))),
% 0.60/0.78 inference(modus_ponens,[status(thm)],[155, 154])).
% 0.60/0.78 tff(157,plain,
% 0.60/0.78 ((~l1_orders_2(k3_yellow_1(A!1))) | (~v2_lattice3(k3_yellow_1(A!1))) | (~v2_orders_2(k3_yellow_1(A!1))) | (~v3_orders_2(k3_yellow_1(A!1))) | (~v4_orders_2(k3_yellow_1(A!1))) | (~v2_yellow_0(k3_yellow_1(A!1))) | (~(v3_struct_0(k2_yellow_1(k9_waybel_0(k3_yellow_1(A!1)))) | (~v1_orders_2(k2_yellow_1(k9_waybel_0(k3_yellow_1(A!1))))) | (~v2_orders_2(k2_yellow_1(k9_waybel_0(k3_yellow_1(A!1))))) | (~v3_orders_2(k2_yellow_1(k9_waybel_0(k3_yellow_1(A!1))))) | (~v4_orders_2(k2_yellow_1(k9_waybel_0(k3_yellow_1(A!1))))) | (~v1_yellow_0(k2_yellow_1(k9_waybel_0(k3_yellow_1(A!1))))) | (~v24_waybel_0(k2_yellow_1(k9_waybel_0(k3_yellow_1(A!1))))) | (~v25_waybel_0(k2_yellow_1(k9_waybel_0(k3_yellow_1(A!1))))) | (~v2_lattice3(k2_yellow_1(k9_waybel_0(k3_yellow_1(A!1))))) | (~v3_lattice3(k2_yellow_1(k9_waybel_0(k3_yellow_1(A!1)))))))),
% 0.60/0.78 inference(unit_resolution,[status(thm)],[156, 153])).
% 0.60/0.78 tff(158,plain,
% 0.60/0.78 (~(v3_struct_0(k2_yellow_1(k9_waybel_0(k3_yellow_1(A!1)))) | (~v1_orders_2(k2_yellow_1(k9_waybel_0(k3_yellow_1(A!1))))) | (~v2_orders_2(k2_yellow_1(k9_waybel_0(k3_yellow_1(A!1))))) | (~v3_orders_2(k2_yellow_1(k9_waybel_0(k3_yellow_1(A!1))))) | (~v4_orders_2(k2_yellow_1(k9_waybel_0(k3_yellow_1(A!1))))) | (~v1_yellow_0(k2_yellow_1(k9_waybel_0(k3_yellow_1(A!1))))) | (~v24_waybel_0(k2_yellow_1(k9_waybel_0(k3_yellow_1(A!1))))) | (~v25_waybel_0(k2_yellow_1(k9_waybel_0(k3_yellow_1(A!1))))) | (~v2_lattice3(k2_yellow_1(k9_waybel_0(k3_yellow_1(A!1))))) | (~v3_lattice3(k2_yellow_1(k9_waybel_0(k3_yellow_1(A!1))))))),
% 0.60/0.78 inference(unit_resolution,[status(thm)],[157, 112, 93, 91, 89, 87, 83])).
% 0.60/0.78 tff(159,plain,
% 0.60/0.78 ((v3_struct_0(k2_yellow_1(k9_waybel_0(k3_yellow_1(A!1)))) | (~v1_orders_2(k2_yellow_1(k9_waybel_0(k3_yellow_1(A!1))))) | (~v2_orders_2(k2_yellow_1(k9_waybel_0(k3_yellow_1(A!1))))) | (~v3_orders_2(k2_yellow_1(k9_waybel_0(k3_yellow_1(A!1))))) | (~v4_orders_2(k2_yellow_1(k9_waybel_0(k3_yellow_1(A!1))))) | (~v1_yellow_0(k2_yellow_1(k9_waybel_0(k3_yellow_1(A!1))))) | (~v24_waybel_0(k2_yellow_1(k9_waybel_0(k3_yellow_1(A!1))))) | (~v25_waybel_0(k2_yellow_1(k9_waybel_0(k3_yellow_1(A!1))))) | (~v2_lattice3(k2_yellow_1(k9_waybel_0(k3_yellow_1(A!1))))) | (~v3_lattice3(k2_yellow_1(k9_waybel_0(k3_yellow_1(A!1)))))) | v3_lattice3(k2_yellow_1(k9_waybel_0(k3_yellow_1(A!1))))),
% 0.60/0.78 inference(tautology,[status(thm)],[])).
% 0.60/0.78 tff(160,plain,
% 0.60/0.78 (v3_lattice3(k2_yellow_1(k9_waybel_0(k3_yellow_1(A!1))))),
% 0.60/0.78 inference(unit_resolution,[status(thm)],[159, 158])).
% 0.60/0.78 tff(161,plain,
% 0.60/0.78 ((v3_struct_0(k2_yellow_1(k9_waybel_0(k3_yellow_1(A!1)))) | (~v1_orders_2(k2_yellow_1(k9_waybel_0(k3_yellow_1(A!1))))) | (~v2_orders_2(k2_yellow_1(k9_waybel_0(k3_yellow_1(A!1))))) | (~v3_orders_2(k2_yellow_1(k9_waybel_0(k3_yellow_1(A!1))))) | (~v4_orders_2(k2_yellow_1(k9_waybel_0(k3_yellow_1(A!1))))) | (~v1_yellow_0(k2_yellow_1(k9_waybel_0(k3_yellow_1(A!1))))) | (~v24_waybel_0(k2_yellow_1(k9_waybel_0(k3_yellow_1(A!1))))) | (~v25_waybel_0(k2_yellow_1(k9_waybel_0(k3_yellow_1(A!1))))) | (~v2_lattice3(k2_yellow_1(k9_waybel_0(k3_yellow_1(A!1))))) | (~v3_lattice3(k2_yellow_1(k9_waybel_0(k3_yellow_1(A!1)))))) | v2_lattice3(k2_yellow_1(k9_waybel_0(k3_yellow_1(A!1))))),
% 0.60/0.78 inference(tautology,[status(thm)],[])).
% 0.60/0.78 tff(162,plain,
% 0.60/0.78 (v2_lattice3(k2_yellow_1(k9_waybel_0(k3_yellow_1(A!1))))),
% 0.60/0.78 inference(unit_resolution,[status(thm)],[161, 158])).
% 0.60/0.78 tff(163,plain,
% 0.60/0.78 ((v3_struct_0(k2_yellow_1(k9_waybel_0(k3_yellow_1(A!1)))) | (~v1_orders_2(k2_yellow_1(k9_waybel_0(k3_yellow_1(A!1))))) | (~v2_orders_2(k2_yellow_1(k9_waybel_0(k3_yellow_1(A!1))))) | (~v3_orders_2(k2_yellow_1(k9_waybel_0(k3_yellow_1(A!1))))) | (~v4_orders_2(k2_yellow_1(k9_waybel_0(k3_yellow_1(A!1))))) | (~v1_yellow_0(k2_yellow_1(k9_waybel_0(k3_yellow_1(A!1))))) | (~v24_waybel_0(k2_yellow_1(k9_waybel_0(k3_yellow_1(A!1))))) | (~v25_waybel_0(k2_yellow_1(k9_waybel_0(k3_yellow_1(A!1))))) | (~v2_lattice3(k2_yellow_1(k9_waybel_0(k3_yellow_1(A!1))))) | (~v3_lattice3(k2_yellow_1(k9_waybel_0(k3_yellow_1(A!1)))))) | v4_orders_2(k2_yellow_1(k9_waybel_0(k3_yellow_1(A!1))))),
% 0.60/0.78 inference(tautology,[status(thm)],[])).
% 0.60/0.78 tff(164,plain,
% 0.60/0.78 (v4_orders_2(k2_yellow_1(k9_waybel_0(k3_yellow_1(A!1))))),
% 0.60/0.78 inference(unit_resolution,[status(thm)],[163, 158])).
% 0.60/0.78 tff(165,plain,
% 0.60/0.78 ((v3_struct_0(k2_yellow_1(k9_waybel_0(k3_yellow_1(A!1)))) | (~v1_orders_2(k2_yellow_1(k9_waybel_0(k3_yellow_1(A!1))))) | (~v2_orders_2(k2_yellow_1(k9_waybel_0(k3_yellow_1(A!1))))) | (~v3_orders_2(k2_yellow_1(k9_waybel_0(k3_yellow_1(A!1))))) | (~v4_orders_2(k2_yellow_1(k9_waybel_0(k3_yellow_1(A!1))))) | (~v1_yellow_0(k2_yellow_1(k9_waybel_0(k3_yellow_1(A!1))))) | (~v24_waybel_0(k2_yellow_1(k9_waybel_0(k3_yellow_1(A!1))))) | (~v25_waybel_0(k2_yellow_1(k9_waybel_0(k3_yellow_1(A!1))))) | (~v2_lattice3(k2_yellow_1(k9_waybel_0(k3_yellow_1(A!1))))) | (~v3_lattice3(k2_yellow_1(k9_waybel_0(k3_yellow_1(A!1)))))) | v3_orders_2(k2_yellow_1(k9_waybel_0(k3_yellow_1(A!1))))),
% 0.60/0.78 inference(tautology,[status(thm)],[])).
% 0.60/0.78 tff(166,plain,
% 0.60/0.78 (v3_orders_2(k2_yellow_1(k9_waybel_0(k3_yellow_1(A!1))))),
% 0.60/0.78 inference(unit_resolution,[status(thm)],[165, 158])).
% 0.60/0.78 tff(167,plain,
% 0.60/0.78 ((v3_struct_0(k2_yellow_1(k9_waybel_0(k3_yellow_1(A!1)))) | (~v1_orders_2(k2_yellow_1(k9_waybel_0(k3_yellow_1(A!1))))) | (~v2_orders_2(k2_yellow_1(k9_waybel_0(k3_yellow_1(A!1))))) | (~v3_orders_2(k2_yellow_1(k9_waybel_0(k3_yellow_1(A!1))))) | (~v4_orders_2(k2_yellow_1(k9_waybel_0(k3_yellow_1(A!1))))) | (~v1_yellow_0(k2_yellow_1(k9_waybel_0(k3_yellow_1(A!1))))) | (~v24_waybel_0(k2_yellow_1(k9_waybel_0(k3_yellow_1(A!1))))) | (~v25_waybel_0(k2_yellow_1(k9_waybel_0(k3_yellow_1(A!1))))) | (~v2_lattice3(k2_yellow_1(k9_waybel_0(k3_yellow_1(A!1))))) | (~v3_lattice3(k2_yellow_1(k9_waybel_0(k3_yellow_1(A!1)))))) | v2_orders_2(k2_yellow_1(k9_waybel_0(k3_yellow_1(A!1))))),
% 0.60/0.78 inference(tautology,[status(thm)],[])).
% 0.60/0.78 tff(168,plain,
% 0.60/0.78 (v2_orders_2(k2_yellow_1(k9_waybel_0(k3_yellow_1(A!1))))),
% 0.60/0.78 inference(unit_resolution,[status(thm)],[167, 158])).
% 0.60/0.78 tff(169,plain,
% 0.60/0.78 (^[A: $i] : refl(((~l1_orders_2(A)) | (~v1_lattice3(A)) | (~v2_lattice3(A)) | (~v2_orders_2(A)) | (~v3_lattice3(A)) | (~v3_orders_2(A)) | (~v4_orders_2(A)) | (~v3_waybel_3(A)) | ![B: $i] : ((~l1_orders_2(B)) | (~v1_lattice3(B)) | (~v2_lattice3(B)) | (~v2_orders_2(B)) | (~v3_lattice3(B)) | (~v3_orders_2(B)) | (~v4_orders_2(B)) | (~v3_waybel_3(B)) | ![C: $i, D: $i] : (r5_waybel_1(A, B) | (~r1_waybel22(A, C)) | (~r1_waybel22(B, D)) | (~(k1_card_1(C) = k1_card_1(D)))))) <=> ((~l1_orders_2(A)) | (~v1_lattice3(A)) | (~v2_lattice3(A)) | (~v2_orders_2(A)) | (~v3_lattice3(A)) | (~v3_orders_2(A)) | (~v4_orders_2(A)) | (~v3_waybel_3(A)) | ![B: $i] : ((~l1_orders_2(B)) | (~v1_lattice3(B)) | (~v2_lattice3(B)) | (~v2_orders_2(B)) | (~v3_lattice3(B)) | (~v3_orders_2(B)) | (~v4_orders_2(B)) | (~v3_waybel_3(B)) | ![C: $i, D: $i] : (r5_waybel_1(A, B) | (~r1_waybel22(A, C)) | (~r1_waybel22(B, D)) | (~(k1_card_1(C) = k1_card_1(D)))))))),
% 0.60/0.78 inference(bind,[status(th)],[])).
% 0.60/0.78 tff(170,plain,
% 0.60/0.78 (![A: $i] : ((~l1_orders_2(A)) | (~v1_lattice3(A)) | (~v2_lattice3(A)) | (~v2_orders_2(A)) | (~v3_lattice3(A)) | (~v3_orders_2(A)) | (~v4_orders_2(A)) | (~v3_waybel_3(A)) | ![B: $i] : ((~l1_orders_2(B)) | (~v1_lattice3(B)) | (~v2_lattice3(B)) | (~v2_orders_2(B)) | (~v3_lattice3(B)) | (~v3_orders_2(B)) | (~v4_orders_2(B)) | (~v3_waybel_3(B)) | ![C: $i, D: $i] : (r5_waybel_1(A, B) | (~r1_waybel22(A, C)) | (~r1_waybel22(B, D)) | (~(k1_card_1(C) = k1_card_1(D)))))) <=> ![A: $i] : ((~l1_orders_2(A)) | (~v1_lattice3(A)) | (~v2_lattice3(A)) | (~v2_orders_2(A)) | (~v3_lattice3(A)) | (~v3_orders_2(A)) | (~v4_orders_2(A)) | (~v3_waybel_3(A)) | ![B: $i] : ((~l1_orders_2(B)) | (~v1_lattice3(B)) | (~v2_lattice3(B)) | (~v2_orders_2(B)) | (~v3_lattice3(B)) | (~v3_orders_2(B)) | (~v4_orders_2(B)) | (~v3_waybel_3(B)) | ![C: $i, D: $i] : (r5_waybel_1(A, B) | (~r1_waybel22(A, C)) | (~r1_waybel22(B, D)) | (~(k1_card_1(C) = k1_card_1(D))))))),
% 0.60/0.78 inference(quant_intro,[status(thm)],[169])).
% 0.60/0.78 tff(171,plain,
% 0.60/0.78 (^[A: $i] : rewrite(((~l1_orders_2(A)) | (~v1_lattice3(A)) | (~v2_lattice3(A)) | (~v2_orders_2(A)) | (~v3_lattice3(A)) | (~v3_orders_2(A)) | (~v4_orders_2(A)) | (~v3_waybel_3(A)) | ![B: $i] : ((~l1_orders_2(B)) | (~v1_lattice3(B)) | (~v2_lattice3(B)) | (~v2_orders_2(B)) | (~v3_lattice3(B)) | (~v3_orders_2(B)) | (~v4_orders_2(B)) | (~v3_waybel_3(B)) | ![C: $i, D: $i] : (r5_waybel_1(A, B) | (~r1_waybel22(A, C)) | (~r1_waybel22(B, D)) | (~(k1_card_1(C) = k1_card_1(D)))))) <=> ((~l1_orders_2(A)) | (~v1_lattice3(A)) | (~v2_lattice3(A)) | (~v2_orders_2(A)) | (~v3_lattice3(A)) | (~v3_orders_2(A)) | (~v4_orders_2(A)) | (~v3_waybel_3(A)) | ![B: $i] : ((~l1_orders_2(B)) | (~v1_lattice3(B)) | (~v2_lattice3(B)) | (~v2_orders_2(B)) | (~v3_lattice3(B)) | (~v3_orders_2(B)) | (~v4_orders_2(B)) | (~v3_waybel_3(B)) | ![C: $i, D: $i] : (r5_waybel_1(A, B) | (~r1_waybel22(A, C)) | (~r1_waybel22(B, D)) | (~(k1_card_1(C) = k1_card_1(D)))))))),
% 0.60/0.78 inference(bind,[status(th)],[])).
% 0.60/0.78 tff(172,plain,
% 0.60/0.78 (![A: $i] : ((~l1_orders_2(A)) | (~v1_lattice3(A)) | (~v2_lattice3(A)) | (~v2_orders_2(A)) | (~v3_lattice3(A)) | (~v3_orders_2(A)) | (~v4_orders_2(A)) | (~v3_waybel_3(A)) | ![B: $i] : ((~l1_orders_2(B)) | (~v1_lattice3(B)) | (~v2_lattice3(B)) | (~v2_orders_2(B)) | (~v3_lattice3(B)) | (~v3_orders_2(B)) | (~v4_orders_2(B)) | (~v3_waybel_3(B)) | ![C: $i, D: $i] : (r5_waybel_1(A, B) | (~r1_waybel22(A, C)) | (~r1_waybel22(B, D)) | (~(k1_card_1(C) = k1_card_1(D)))))) <=> ![A: $i] : ((~l1_orders_2(A)) | (~v1_lattice3(A)) | (~v2_lattice3(A)) | (~v2_orders_2(A)) | (~v3_lattice3(A)) | (~v3_orders_2(A)) | (~v4_orders_2(A)) | (~v3_waybel_3(A)) | ![B: $i] : ((~l1_orders_2(B)) | (~v1_lattice3(B)) | (~v2_lattice3(B)) | (~v2_orders_2(B)) | (~v3_lattice3(B)) | (~v3_orders_2(B)) | (~v4_orders_2(B)) | (~v3_waybel_3(B)) | ![C: $i, D: $i] : (r5_waybel_1(A, B) | (~r1_waybel22(A, C)) | (~r1_waybel22(B, D)) | (~(k1_card_1(C) = k1_card_1(D))))))),
% 0.60/0.78 inference(quant_intro,[status(thm)],[171])).
% 0.60/0.78 tff(173,plain,
% 0.60/0.78 (![A: $i] : ((~l1_orders_2(A)) | (~v1_lattice3(A)) | (~v2_lattice3(A)) | (~v2_orders_2(A)) | (~v3_lattice3(A)) | (~v3_orders_2(A)) | (~v4_orders_2(A)) | (~v3_waybel_3(A)) | ![B: $i] : ((~l1_orders_2(B)) | (~v1_lattice3(B)) | (~v2_lattice3(B)) | (~v2_orders_2(B)) | (~v3_lattice3(B)) | (~v3_orders_2(B)) | (~v4_orders_2(B)) | (~v3_waybel_3(B)) | ![C: $i, D: $i] : (r5_waybel_1(A, B) | (~r1_waybel22(A, C)) | (~r1_waybel22(B, D)) | (~(k1_card_1(C) = k1_card_1(D)))))) <=> ![A: $i] : ((~l1_orders_2(A)) | (~v1_lattice3(A)) | (~v2_lattice3(A)) | (~v2_orders_2(A)) | (~v3_lattice3(A)) | (~v3_orders_2(A)) | (~v4_orders_2(A)) | (~v3_waybel_3(A)) | ![B: $i] : ((~l1_orders_2(B)) | (~v1_lattice3(B)) | (~v2_lattice3(B)) | (~v2_orders_2(B)) | (~v3_lattice3(B)) | (~v3_orders_2(B)) | (~v4_orders_2(B)) | (~v3_waybel_3(B)) | ![C: $i, D: $i] : (r5_waybel_1(A, B) | (~r1_waybel22(A, C)) | (~r1_waybel22(B, D)) | (~(k1_card_1(C) = k1_card_1(D))))))),
% 0.60/0.78 inference(transitivity,[status(thm)],[172, 170])).
% 0.60/0.78 tff(174,plain,
% 0.60/0.78 (^[A: $i] : trans(monotonicity(trans(monotonicity(rewrite((v2_orders_2(A) & v3_orders_2(A) & v4_orders_2(A) & v1_lattice3(A) & v2_lattice3(A) & v3_lattice3(A) & v3_waybel_3(A) & l1_orders_2(A)) <=> (~((~l1_orders_2(A)) | (~v1_lattice3(A)) | (~v2_lattice3(A)) | (~v2_orders_2(A)) | (~v3_lattice3(A)) | (~v3_orders_2(A)) | (~v4_orders_2(A)) | (~v3_waybel_3(A))))), ((~(v2_orders_2(A) & v3_orders_2(A) & v4_orders_2(A) & v1_lattice3(A) & v2_lattice3(A) & v3_lattice3(A) & v3_waybel_3(A) & l1_orders_2(A))) <=> (~(~((~l1_orders_2(A)) | (~v1_lattice3(A)) | (~v2_lattice3(A)) | (~v2_orders_2(A)) | (~v3_lattice3(A)) | (~v3_orders_2(A)) | (~v4_orders_2(A)) | (~v3_waybel_3(A))))))), rewrite((~(~((~l1_orders_2(A)) | (~v1_lattice3(A)) | (~v2_lattice3(A)) | (~v2_orders_2(A)) | (~v3_lattice3(A)) | (~v3_orders_2(A)) | (~v4_orders_2(A)) | (~v3_waybel_3(A))))) <=> ((~l1_orders_2(A)) | (~v1_lattice3(A)) | (~v2_lattice3(A)) | (~v2_orders_2(A)) | (~v3_lattice3(A)) | (~v3_orders_2(A)) | (~v4_orders_2(A)) | (~v3_waybel_3(A)))), ((~(v2_orders_2(A) & v3_orders_2(A) & v4_orders_2(A) & v1_lattice3(A) & v2_lattice3(A) & v3_lattice3(A) & v3_waybel_3(A) & l1_orders_2(A))) <=> ((~l1_orders_2(A)) | (~v1_lattice3(A)) | (~v2_lattice3(A)) | (~v2_orders_2(A)) | (~v3_lattice3(A)) | (~v3_orders_2(A)) | (~v4_orders_2(A)) | (~v3_waybel_3(A))))), quant_intro(proof_bind(^[B: $i] : trans(monotonicity(trans(monotonicity(rewrite((v2_orders_2(B) & v3_orders_2(B) & v4_orders_2(B) & v1_lattice3(B) & v2_lattice3(B) & v3_lattice3(B) & v3_waybel_3(B) & l1_orders_2(B)) <=> (~((~l1_orders_2(B)) | (~v1_lattice3(B)) | (~v2_lattice3(B)) | (~v2_orders_2(B)) | (~v3_lattice3(B)) | (~v3_orders_2(B)) | (~v4_orders_2(B)) | (~v3_waybel_3(B))))), ((~(v2_orders_2(B) & v3_orders_2(B) & v4_orders_2(B) & v1_lattice3(B) & v2_lattice3(B) & v3_lattice3(B) & v3_waybel_3(B) & l1_orders_2(B))) <=> (~(~((~l1_orders_2(B)) | (~v1_lattice3(B)) | (~v2_lattice3(B)) | (~v2_orders_2(B)) | (~v3_lattice3(B)) | (~v3_orders_2(B)) | (~v4_orders_2(B)) | (~v3_waybel_3(B))))))), rewrite((~(~((~l1_orders_2(B)) | (~v1_lattice3(B)) | (~v2_lattice3(B)) | (~v2_orders_2(B)) | (~v3_lattice3(B)) | (~v3_orders_2(B)) | (~v4_orders_2(B)) | (~v3_waybel_3(B))))) <=> ((~l1_orders_2(B)) | (~v1_lattice3(B)) | (~v2_lattice3(B)) | (~v2_orders_2(B)) | (~v3_lattice3(B)) | (~v3_orders_2(B)) | (~v4_orders_2(B)) | (~v3_waybel_3(B)))), ((~(v2_orders_2(B) & v3_orders_2(B) & v4_orders_2(B) & v1_lattice3(B) & v2_lattice3(B) & v3_lattice3(B) & v3_waybel_3(B) & l1_orders_2(B))) <=> ((~l1_orders_2(B)) | (~v1_lattice3(B)) | (~v2_lattice3(B)) | (~v2_orders_2(B)) | (~v3_lattice3(B)) | (~v3_orders_2(B)) | (~v4_orders_2(B)) | (~v3_waybel_3(B))))), quant_intro(proof_bind(^[C: $i, D: $i] : trans(monotonicity(trans(monotonicity(rewrite((r1_waybel22(A, C) & r1_waybel22(B, D) & (k1_card_1(C) = k1_card_1(D))) <=> (~((~r1_waybel22(A, C)) | (~r1_waybel22(B, D)) | (~(k1_card_1(C) = k1_card_1(D)))))), ((~(r1_waybel22(A, C) & r1_waybel22(B, D) & (k1_card_1(C) = k1_card_1(D)))) <=> (~(~((~r1_waybel22(A, C)) | (~r1_waybel22(B, D)) | (~(k1_card_1(C) = k1_card_1(D)))))))), rewrite((~(~((~r1_waybel22(A, C)) | (~r1_waybel22(B, D)) | (~(k1_card_1(C) = k1_card_1(D)))))) <=> ((~r1_waybel22(A, C)) | (~r1_waybel22(B, D)) | (~(k1_card_1(C) = k1_card_1(D))))), ((~(r1_waybel22(A, C) & r1_waybel22(B, D) & (k1_card_1(C) = k1_card_1(D)))) <=> ((~r1_waybel22(A, C)) | (~r1_waybel22(B, D)) | (~(k1_card_1(C) = k1_card_1(D)))))), (((~(r1_waybel22(A, C) & r1_waybel22(B, D) & (k1_card_1(C) = k1_card_1(D)))) | r5_waybel_1(A, B)) <=> (((~r1_waybel22(A, C)) | (~r1_waybel22(B, D)) | (~(k1_card_1(C) = k1_card_1(D)))) | r5_waybel_1(A, B)))), rewrite((((~r1_waybel22(A, C)) | (~r1_waybel22(B, D)) | (~(k1_card_1(C) = k1_card_1(D)))) | r5_waybel_1(A, B)) <=> (r5_waybel_1(A, B) | (~r1_waybel22(A, C)) | (~r1_waybel22(B, D)) | (~(k1_card_1(C) = k1_card_1(D))))), (((~(r1_waybel22(A, C) & r1_waybel22(B, D) & (k1_card_1(C) = k1_card_1(D)))) | r5_waybel_1(A, B)) <=> (r5_waybel_1(A, B) | (~r1_waybel22(A, C)) | (~r1_waybel22(B, D)) | (~(k1_card_1(C) = k1_card_1(D))))))), (![C: $i, D: $i] : ((~(r1_waybel22(A, C) & r1_waybel22(B, D) & (k1_card_1(C) = k1_card_1(D)))) | r5_waybel_1(A, B)) <=> ![C: $i, D: $i] : (r5_waybel_1(A, B) | (~r1_waybel22(A, C)) | (~r1_waybel22(B, D)) | (~(k1_card_1(C) = k1_card_1(D)))))), (((~(v2_orders_2(B) & v3_orders_2(B) & v4_orders_2(B) & v1_lattice3(B) & v2_lattice3(B) & v3_lattice3(B) & v3_waybel_3(B) & l1_orders_2(B))) | ![C: $i, D: $i] : ((~(r1_waybel22(A, C) & r1_waybel22(B, D) & (k1_card_1(C) = k1_card_1(D)))) | r5_waybel_1(A, B))) <=> (((~l1_orders_2(B)) | (~v1_lattice3(B)) | (~v2_lattice3(B)) | (~v2_orders_2(B)) | (~v3_lattice3(B)) | (~v3_orders_2(B)) | (~v4_orders_2(B)) | (~v3_waybel_3(B))) | ![C: $i, D: $i] : (r5_waybel_1(A, B) | (~r1_waybel22(A, C)) | (~r1_waybel22(B, D)) | (~(k1_card_1(C) = k1_card_1(D))))))), rewrite((((~l1_orders_2(B)) | (~v1_lattice3(B)) | (~v2_lattice3(B)) | (~v2_orders_2(B)) | (~v3_lattice3(B)) | (~v3_orders_2(B)) | (~v4_orders_2(B)) | (~v3_waybel_3(B))) | ![C: $i, D: $i] : (r5_waybel_1(A, B) | (~r1_waybel22(A, C)) | (~r1_waybel22(B, D)) | (~(k1_card_1(C) = k1_card_1(D))))) <=> ((~l1_orders_2(B)) | (~v1_lattice3(B)) | (~v2_lattice3(B)) | (~v2_orders_2(B)) | (~v3_lattice3(B)) | (~v3_orders_2(B)) | (~v4_orders_2(B)) | (~v3_waybel_3(B)) | ![C: $i, D: $i] : (r5_waybel_1(A, B) | (~r1_waybel22(A, C)) | (~r1_waybel22(B, D)) | (~(k1_card_1(C) = k1_card_1(D)))))), (((~(v2_orders_2(B) & v3_orders_2(B) & v4_orders_2(B) & v1_lattice3(B) & v2_lattice3(B) & v3_lattice3(B) & v3_waybel_3(B) & l1_orders_2(B))) | ![C: $i, D: $i] : ((~(r1_waybel22(A, C) & r1_waybel22(B, D) & (k1_card_1(C) = k1_card_1(D)))) | r5_waybel_1(A, B))) <=> ((~l1_orders_2(B)) | (~v1_lattice3(B)) | (~v2_lattice3(B)) | (~v2_orders_2(B)) | (~v3_lattice3(B)) | (~v3_orders_2(B)) | (~v4_orders_2(B)) | (~v3_waybel_3(B)) | ![C: $i, D: $i] : (r5_waybel_1(A, B) | (~r1_waybel22(A, C)) | (~r1_waybel22(B, D)) | (~(k1_card_1(C) = k1_card_1(D)))))))), (![B: $i] : ((~(v2_orders_2(B) & v3_orders_2(B) & v4_orders_2(B) & v1_lattice3(B) & v2_lattice3(B) & v3_lattice3(B) & v3_waybel_3(B) & l1_orders_2(B))) | ![C: $i, D: $i] : ((~(r1_waybel22(A, C) & r1_waybel22(B, D) & (k1_card_1(C) = k1_card_1(D)))) | r5_waybel_1(A, B))) <=> ![B: $i] : ((~l1_orders_2(B)) | (~v1_lattice3(B)) | (~v2_lattice3(B)) | (~v2_orders_2(B)) | (~v3_lattice3(B)) | (~v3_orders_2(B)) | (~v4_orders_2(B)) | (~v3_waybel_3(B)) | ![C: $i, D: $i] : (r5_waybel_1(A, B) | (~r1_waybel22(A, C)) | (~r1_waybel22(B, D)) | (~(k1_card_1(C) = k1_card_1(D))))))), (((~(v2_orders_2(A) & v3_orders_2(A) & v4_orders_2(A) & v1_lattice3(A) & v2_lattice3(A) & v3_lattice3(A) & v3_waybel_3(A) & l1_orders_2(A))) | ![B: $i] : ((~(v2_orders_2(B) & v3_orders_2(B) & v4_orders_2(B) & v1_lattice3(B) & v2_lattice3(B) & v3_lattice3(B) & v3_waybel_3(B) & l1_orders_2(B))) | ![C: $i, D: $i] : ((~(r1_waybel22(A, C) & r1_waybel22(B, D) & (k1_card_1(C) = k1_card_1(D)))) | r5_waybel_1(A, B)))) <=> (((~l1_orders_2(A)) | (~v1_lattice3(A)) | (~v2_lattice3(A)) | (~v2_orders_2(A)) | (~v3_lattice3(A)) | (~v3_orders_2(A)) | (~v4_orders_2(A)) | (~v3_waybel_3(A))) | ![B: $i] : ((~l1_orders_2(B)) | (~v1_lattice3(B)) | (~v2_lattice3(B)) | (~v2_orders_2(B)) | (~v3_lattice3(B)) | (~v3_orders_2(B)) | (~v4_orders_2(B)) | (~v3_waybel_3(B)) | ![C: $i, D: $i] : (r5_waybel_1(A, B) | (~r1_waybel22(A, C)) | (~r1_waybel22(B, D)) | (~(k1_card_1(C) = k1_card_1(D)))))))), rewrite((((~l1_orders_2(A)) | (~v1_lattice3(A)) | (~v2_lattice3(A)) | (~v2_orders_2(A)) | (~v3_lattice3(A)) | (~v3_orders_2(A)) | (~v4_orders_2(A)) | (~v3_waybel_3(A))) | ![B: $i] : ((~l1_orders_2(B)) | (~v1_lattice3(B)) | (~v2_lattice3(B)) | (~v2_orders_2(B)) | (~v3_lattice3(B)) | (~v3_orders_2(B)) | (~v4_orders_2(B)) | (~v3_waybel_3(B)) | ![C: $i, D: $i] : (r5_waybel_1(A, B) | (~r1_waybel22(A, C)) | (~r1_waybel22(B, D)) | (~(k1_card_1(C) = k1_card_1(D)))))) <=> ((~l1_orders_2(A)) | (~v1_lattice3(A)) | (~v2_lattice3(A)) | (~v2_orders_2(A)) | (~v3_lattice3(A)) | (~v3_orders_2(A)) | (~v4_orders_2(A)) | (~v3_waybel_3(A)) | ![B: $i] : ((~l1_orders_2(B)) | (~v1_lattice3(B)) | (~v2_lattice3(B)) | (~v2_orders_2(B)) | (~v3_lattice3(B)) | (~v3_orders_2(B)) | (~v4_orders_2(B)) | (~v3_waybel_3(B)) | ![C: $i, D: $i] : (r5_waybel_1(A, B) | (~r1_waybel22(A, C)) | (~r1_waybel22(B, D)) | (~(k1_card_1(C) = k1_card_1(D))))))), (((~(v2_orders_2(A) & v3_orders_2(A) & v4_orders_2(A) & v1_lattice3(A) & v2_lattice3(A) & v3_lattice3(A) & v3_waybel_3(A) & l1_orders_2(A))) | ![B: $i] : ((~(v2_orders_2(B) & v3_orders_2(B) & v4_orders_2(B) & v1_lattice3(B) & v2_lattice3(B) & v3_lattice3(B) & v3_waybel_3(B) & l1_orders_2(B))) | ![C: $i, D: $i] : ((~(r1_waybel22(A, C) & r1_waybel22(B, D) & (k1_card_1(C) = k1_card_1(D)))) | r5_waybel_1(A, B)))) <=> ((~l1_orders_2(A)) | (~v1_lattice3(A)) | (~v2_lattice3(A)) | (~v2_orders_2(A)) | (~v3_lattice3(A)) | (~v3_orders_2(A)) | (~v4_orders_2(A)) | (~v3_waybel_3(A)) | ![B: $i] : ((~l1_orders_2(B)) | (~v1_lattice3(B)) | (~v2_lattice3(B)) | (~v2_orders_2(B)) | (~v3_lattice3(B)) | (~v3_orders_2(B)) | (~v4_orders_2(B)) | (~v3_waybel_3(B)) | ![C: $i, D: $i] : (r5_waybel_1(A, B) | (~r1_waybel22(A, C)) | (~r1_waybel22(B, D)) | (~(k1_card_1(C) = k1_card_1(D))))))))),
% 0.60/0.78 inference(bind,[status(th)],[])).
% 0.60/0.78 tff(175,plain,
% 0.60/0.78 (![A: $i] : ((~(v2_orders_2(A) & v3_orders_2(A) & v4_orders_2(A) & v1_lattice3(A) & v2_lattice3(A) & v3_lattice3(A) & v3_waybel_3(A) & l1_orders_2(A))) | ![B: $i] : ((~(v2_orders_2(B) & v3_orders_2(B) & v4_orders_2(B) & v1_lattice3(B) & v2_lattice3(B) & v3_lattice3(B) & v3_waybel_3(B) & l1_orders_2(B))) | ![C: $i, D: $i] : ((~(r1_waybel22(A, C) & r1_waybel22(B, D) & (k1_card_1(C) = k1_card_1(D)))) | r5_waybel_1(A, B)))) <=> ![A: $i] : ((~l1_orders_2(A)) | (~v1_lattice3(A)) | (~v2_lattice3(A)) | (~v2_orders_2(A)) | (~v3_lattice3(A)) | (~v3_orders_2(A)) | (~v4_orders_2(A)) | (~v3_waybel_3(A)) | ![B: $i] : ((~l1_orders_2(B)) | (~v1_lattice3(B)) | (~v2_lattice3(B)) | (~v2_orders_2(B)) | (~v3_lattice3(B)) | (~v3_orders_2(B)) | (~v4_orders_2(B)) | (~v3_waybel_3(B)) | ![C: $i, D: $i] : (r5_waybel_1(A, B) | (~r1_waybel22(A, C)) | (~r1_waybel22(B, D)) | (~(k1_card_1(C) = k1_card_1(D))))))),
% 0.60/0.78 inference(quant_intro,[status(thm)],[174])).
% 0.60/0.78 tff(176,plain,
% 0.60/0.78 (![A: $i] : ((~(v2_orders_2(A) & v3_orders_2(A) & v4_orders_2(A) & v1_lattice3(A) & v2_lattice3(A) & v3_lattice3(A) & v3_waybel_3(A) & l1_orders_2(A))) | ![B: $i] : ((~(v2_orders_2(B) & v3_orders_2(B) & v4_orders_2(B) & v1_lattice3(B) & v2_lattice3(B) & v3_lattice3(B) & v3_waybel_3(B) & l1_orders_2(B))) | ![C: $i, D: $i] : ((~(r1_waybel22(A, C) & r1_waybel22(B, D) & (k1_card_1(C) = k1_card_1(D)))) | r5_waybel_1(A, B)))) <=> ![A: $i] : ((~(v2_orders_2(A) & v3_orders_2(A) & v4_orders_2(A) & v1_lattice3(A) & v2_lattice3(A) & v3_lattice3(A) & v3_waybel_3(A) & l1_orders_2(A))) | ![B: $i] : ((~(v2_orders_2(B) & v3_orders_2(B) & v4_orders_2(B) & v1_lattice3(B) & v2_lattice3(B) & v3_lattice3(B) & v3_waybel_3(B) & l1_orders_2(B))) | ![C: $i, D: $i] : ((~(r1_waybel22(A, C) & r1_waybel22(B, D) & (k1_card_1(C) = k1_card_1(D)))) | r5_waybel_1(A, B))))),
% 0.60/0.78 inference(rewrite,[status(thm)],[])).
% 0.60/0.78 tff(177,plain,
% 0.60/0.78 (^[A: $i] : trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(rewrite(((v2_orders_2(A) & v3_orders_2(A)) & v4_orders_2(A)) <=> (v2_orders_2(A) & v3_orders_2(A) & v4_orders_2(A))), ((((v2_orders_2(A) & v3_orders_2(A)) & v4_orders_2(A)) & v1_lattice3(A)) <=> ((v2_orders_2(A) & v3_orders_2(A) & v4_orders_2(A)) & v1_lattice3(A)))), rewrite(((v2_orders_2(A) & v3_orders_2(A) & v4_orders_2(A)) & v1_lattice3(A)) <=> (v2_orders_2(A) & v3_orders_2(A) & v4_orders_2(A) & v1_lattice3(A))), ((((v2_orders_2(A) & v3_orders_2(A)) & v4_orders_2(A)) & v1_lattice3(A)) <=> (v2_orders_2(A) & v3_orders_2(A) & v4_orders_2(A) & v1_lattice3(A)))), (((((v2_orders_2(A) & v3_orders_2(A)) & v4_orders_2(A)) & v1_lattice3(A)) & v2_lattice3(A)) <=> ((v2_orders_2(A) & v3_orders_2(A) & v4_orders_2(A) & v1_lattice3(A)) & v2_lattice3(A)))), rewrite(((v2_orders_2(A) & v3_orders_2(A) & v4_orders_2(A) & v1_lattice3(A)) & v2_lattice3(A)) <=> (v2_orders_2(A) & v3_orders_2(A) & v4_orders_2(A) & v1_lattice3(A) & v2_lattice3(A))), (((((v2_orders_2(A) & v3_orders_2(A)) & v4_orders_2(A)) & v1_lattice3(A)) & v2_lattice3(A)) <=> (v2_orders_2(A) & v3_orders_2(A) & v4_orders_2(A) & v1_lattice3(A) & v2_lattice3(A)))), ((((((v2_orders_2(A) & v3_orders_2(A)) & v4_orders_2(A)) & v1_lattice3(A)) & v2_lattice3(A)) & v3_lattice3(A)) <=> ((v2_orders_2(A) & v3_orders_2(A) & v4_orders_2(A) & v1_lattice3(A) & v2_lattice3(A)) & v3_lattice3(A)))), rewrite(((v2_orders_2(A) & v3_orders_2(A) & v4_orders_2(A) & v1_lattice3(A) & v2_lattice3(A)) & v3_lattice3(A)) <=> (v2_orders_2(A) & v3_orders_2(A) & v4_orders_2(A) & v1_lattice3(A) & v2_lattice3(A) & v3_lattice3(A))), ((((((v2_orders_2(A) & v3_orders_2(A)) & v4_orders_2(A)) & v1_lattice3(A)) & v2_lattice3(A)) & v3_lattice3(A)) <=> (v2_orders_2(A) & v3_orders_2(A) & v4_orders_2(A) & v1_lattice3(A) & v2_lattice3(A) & v3_lattice3(A)))), (((((((v2_orders_2(A) & v3_orders_2(A)) & v4_orders_2(A)) & v1_lattice3(A)) & v2_lattice3(A)) & v3_lattice3(A)) & v3_waybel_3(A)) <=> ((v2_orders_2(A) & v3_orders_2(A) & v4_orders_2(A) & v1_lattice3(A) & v2_lattice3(A) & v3_lattice3(A)) & v3_waybel_3(A)))), rewrite(((v2_orders_2(A) & v3_orders_2(A) & v4_orders_2(A) & v1_lattice3(A) & v2_lattice3(A) & v3_lattice3(A)) & v3_waybel_3(A)) <=> (v2_orders_2(A) & v3_orders_2(A) & v4_orders_2(A) & v1_lattice3(A) & v2_lattice3(A) & v3_lattice3(A) & v3_waybel_3(A))), (((((((v2_orders_2(A) & v3_orders_2(A)) & v4_orders_2(A)) & v1_lattice3(A)) & v2_lattice3(A)) & v3_lattice3(A)) & v3_waybel_3(A)) <=> (v2_orders_2(A) & v3_orders_2(A) & v4_orders_2(A) & v1_lattice3(A) & v2_lattice3(A) & v3_lattice3(A) & v3_waybel_3(A)))), ((((((((v2_orders_2(A) & v3_orders_2(A)) & v4_orders_2(A)) & v1_lattice3(A)) & v2_lattice3(A)) & v3_lattice3(A)) & v3_waybel_3(A)) & l1_orders_2(A)) <=> ((v2_orders_2(A) & v3_orders_2(A) & v4_orders_2(A) & v1_lattice3(A) & v2_lattice3(A) & v3_lattice3(A) & v3_waybel_3(A)) & l1_orders_2(A)))), rewrite(((v2_orders_2(A) & v3_orders_2(A) & v4_orders_2(A) & v1_lattice3(A) & v2_lattice3(A) & v3_lattice3(A) & v3_waybel_3(A)) & l1_orders_2(A)) <=> (v2_orders_2(A) & v3_orders_2(A) & v4_orders_2(A) & v1_lattice3(A) & v2_lattice3(A) & v3_lattice3(A) & v3_waybel_3(A) & l1_orders_2(A))), ((((((((v2_orders_2(A) & v3_orders_2(A)) & v4_orders_2(A)) & v1_lattice3(A)) & v2_lattice3(A)) & v3_lattice3(A)) & v3_waybel_3(A)) & l1_orders_2(A)) <=> (v2_orders_2(A) & v3_orders_2(A) & v4_orders_2(A) & v1_lattice3(A) & v2_lattice3(A) & v3_lattice3(A) & v3_waybel_3(A) & l1_orders_2(A)))), quant_intro(proof_bind(^[B: $i] : trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(rewrite(((v2_orders_2(B) & v3_orders_2(B)) & v4_orders_2(B)) <=> (v2_orders_2(B) & v3_orders_2(B) & v4_orders_2(B))), ((((v2_orders_2(B) & v3_orders_2(B)) & v4_orders_2(B)) & v1_lattice3(B)) <=> ((v2_orders_2(B) & v3_orders_2(B) & v4_orders_2(B)) & v1_lattice3(B)))), rewrite(((v2_orders_2(B) & v3_orders_2(B) & v4_orders_2(B)) & v1_lattice3(B)) <=> (v2_orders_2(B) & v3_orders_2(B) & v4_orders_2(B) & v1_lattice3(B))), ((((v2_orders_2(B) & v3_orders_2(B)) & v4_orders_2(B)) & v1_lattice3(B)) <=> (v2_orders_2(B) & v3_orders_2(B) & v4_orders_2(B) & v1_lattice3(B)))), (((((v2_orders_2(B) & v3_orders_2(B)) & v4_orders_2(B)) & v1_lattice3(B)) & v2_lattice3(B)) <=> ((v2_orders_2(B) & v3_orders_2(B) & v4_orders_2(B) & v1_lattice3(B)) & v2_lattice3(B)))), rewrite(((v2_orders_2(B) & v3_orders_2(B) & v4_orders_2(B) & v1_lattice3(B)) & v2_lattice3(B)) <=> (v2_orders_2(B) & v3_orders_2(B) & v4_orders_2(B) & v1_lattice3(B) & v2_lattice3(B))), (((((v2_orders_2(B) & v3_orders_2(B)) & v4_orders_2(B)) & v1_lattice3(B)) & v2_lattice3(B)) <=> (v2_orders_2(B) & v3_orders_2(B) & v4_orders_2(B) & v1_lattice3(B) & v2_lattice3(B)))), ((((((v2_orders_2(B) & v3_orders_2(B)) & v4_orders_2(B)) & v1_lattice3(B)) & v2_lattice3(B)) & v3_lattice3(B)) <=> ((v2_orders_2(B) & v3_orders_2(B) & v4_orders_2(B) & v1_lattice3(B) & v2_lattice3(B)) & v3_lattice3(B)))), rewrite(((v2_orders_2(B) & v3_orders_2(B) & v4_orders_2(B) & v1_lattice3(B) & v2_lattice3(B)) & v3_lattice3(B)) <=> (v2_orders_2(B) & v3_orders_2(B) & v4_orders_2(B) & v1_lattice3(B) & v2_lattice3(B) & v3_lattice3(B))), ((((((v2_orders_2(B) & v3_orders_2(B)) & v4_orders_2(B)) & v1_lattice3(B)) & v2_lattice3(B)) & v3_lattice3(B)) <=> (v2_orders_2(B) & v3_orders_2(B) & v4_orders_2(B) & v1_lattice3(B) & v2_lattice3(B) & v3_lattice3(B)))), (((((((v2_orders_2(B) & v3_orders_2(B)) & v4_orders_2(B)) & v1_lattice3(B)) & v2_lattice3(B)) & v3_lattice3(B)) & v3_waybel_3(B)) <=> ((v2_orders_2(B) & v3_orders_2(B) & v4_orders_2(B) & v1_lattice3(B) & v2_lattice3(B) & v3_lattice3(B)) & v3_waybel_3(B)))), rewrite(((v2_orders_2(B) & v3_orders_2(B) & v4_orders_2(B) & v1_lattice3(B) & v2_lattice3(B) & v3_lattice3(B)) & v3_waybel_3(B)) <=> (v2_orders_2(B) & v3_orders_2(B) & v4_orders_2(B) & v1_lattice3(B) & v2_lattice3(B) & v3_lattice3(B) & v3_waybel_3(B))), (((((((v2_orders_2(B) & v3_orders_2(B)) & v4_orders_2(B)) & v1_lattice3(B)) & v2_lattice3(B)) & v3_lattice3(B)) & v3_waybel_3(B)) <=> (v2_orders_2(B) & v3_orders_2(B) & v4_orders_2(B) & v1_lattice3(B) & v2_lattice3(B) & v3_lattice3(B) & v3_waybel_3(B)))), ((((((((v2_orders_2(B) & v3_orders_2(B)) & v4_orders_2(B)) & v1_lattice3(B)) & v2_lattice3(B)) & v3_lattice3(B)) & v3_waybel_3(B)) & l1_orders_2(B)) <=> ((v2_orders_2(B) & v3_orders_2(B) & v4_orders_2(B) & v1_lattice3(B) & v2_lattice3(B) & v3_lattice3(B) & v3_waybel_3(B)) & l1_orders_2(B)))), rewrite(((v2_orders_2(B) & v3_orders_2(B) & v4_orders_2(B) & v1_lattice3(B) & v2_lattice3(B) & v3_lattice3(B) & v3_waybel_3(B)) & l1_orders_2(B)) <=> (v2_orders_2(B) & v3_orders_2(B) & v4_orders_2(B) & v1_lattice3(B) & v2_lattice3(B) & v3_lattice3(B) & v3_waybel_3(B) & l1_orders_2(B))), ((((((((v2_orders_2(B) & v3_orders_2(B)) & v4_orders_2(B)) & v1_lattice3(B)) & v2_lattice3(B)) & v3_lattice3(B)) & v3_waybel_3(B)) & l1_orders_2(B)) <=> (v2_orders_2(B) & v3_orders_2(B) & v4_orders_2(B) & v1_lattice3(B) & v2_lattice3(B) & v3_lattice3(B) & v3_waybel_3(B) & l1_orders_2(B)))), quant_intro(proof_bind(^[C: $i, D: $i] : trans(monotonicity(rewrite(((r1_waybel22(A, C) & r1_waybel22(B, D)) & (k1_card_1(C) = k1_card_1(D))) <=> (r1_waybel22(A, C) & r1_waybel22(B, D) & (k1_card_1(C) = k1_card_1(D)))), ((((r1_waybel22(A, C) & r1_waybel22(B, D)) & (k1_card_1(C) = k1_card_1(D))) => r5_waybel_1(A, B)) <=> ((r1_waybel22(A, C) & r1_waybel22(B, D) & (k1_card_1(C) = k1_card_1(D))) => r5_waybel_1(A, B)))), rewrite(((r1_waybel22(A, C) & r1_waybel22(B, D) & (k1_card_1(C) = k1_card_1(D))) => r5_waybel_1(A, B)) <=> ((~(r1_waybel22(A, C) & r1_waybel22(B, D) & (k1_card_1(C) = k1_card_1(D)))) | r5_waybel_1(A, B))), ((((r1_waybel22(A, C) & r1_waybel22(B, D)) & (k1_card_1(C) = k1_card_1(D))) => r5_waybel_1(A, B)) <=> ((~(r1_waybel22(A, C) & r1_waybel22(B, D) & (k1_card_1(C) = k1_card_1(D)))) | r5_waybel_1(A, B))))), (![C: $i, D: $i] : (((r1_waybel22(A, C) & r1_waybel22(B, D)) & (k1_card_1(C) = k1_card_1(D))) => r5_waybel_1(A, B)) <=> ![C: $i, D: $i] : ((~(r1_waybel22(A, C) & r1_waybel22(B, D) & (k1_card_1(C) = k1_card_1(D)))) | r5_waybel_1(A, B)))), (((((((((v2_orders_2(B) & v3_orders_2(B)) & v4_orders_2(B)) & v1_lattice3(B)) & v2_lattice3(B)) & v3_lattice3(B)) & v3_waybel_3(B)) & l1_orders_2(B)) => ![C: $i, D: $i] : (((r1_waybel22(A, C) & r1_waybel22(B, D)) & (k1_card_1(C) = k1_card_1(D))) => r5_waybel_1(A, B))) <=> ((v2_orders_2(B) & v3_orders_2(B) & v4_orders_2(B) & v1_lattice3(B) & v2_lattice3(B) & v3_lattice3(B) & v3_waybel_3(B) & l1_orders_2(B)) => ![C: $i, D: $i] : ((~(r1_waybel22(A, C) & r1_waybel22(B, D) & (k1_card_1(C) = k1_card_1(D)))) | r5_waybel_1(A, B))))), rewrite(((v2_orders_2(B) & v3_orders_2(B) & v4_orders_2(B) & v1_lattice3(B) & v2_lattice3(B) & v3_lattice3(B) & v3_waybel_3(B) & l1_orders_2(B)) => ![C: $i, D: $i] : ((~(r1_waybel22(A, C) & r1_waybel22(B, D) & (k1_card_1(C) = k1_card_1(D)))) | r5_waybel_1(A, B))) <=> ((~(v2_orders_2(B) & v3_orders_2(B) & v4_orders_2(B) & v1_lattice3(B) & v2_lattice3(B) & v3_lattice3(B) & v3_waybel_3(B) & l1_orders_2(B))) | ![C: $i, D: $i] : ((~(r1_waybel22(A, C) & r1_waybel22(B, D) & (k1_card_1(C) = k1_card_1(D)))) | r5_waybel_1(A, B)))), (((((((((v2_orders_2(B) & v3_orders_2(B)) & v4_orders_2(B)) & v1_lattice3(B)) & v2_lattice3(B)) & v3_lattice3(B)) & v3_waybel_3(B)) & l1_orders_2(B)) => ![C: $i, D: $i] : (((r1_waybel22(A, C) & r1_waybel22(B, D)) & (k1_card_1(C) = k1_card_1(D))) => r5_waybel_1(A, B))) <=> ((~(v2_orders_2(B) & v3_orders_2(B) & v4_orders_2(B) & v1_lattice3(B) & v2_lattice3(B) & v3_lattice3(B) & v3_waybel_3(B) & l1_orders_2(B))) | ![C: $i, D: $i] : ((~(r1_waybel22(A, C) & r1_waybel22(B, D) & (k1_card_1(C) = k1_card_1(D)))) | r5_waybel_1(A, B)))))), (![B: $i] : ((((((((v2_orders_2(B) & v3_orders_2(B)) & v4_orders_2(B)) & v1_lattice3(B)) & v2_lattice3(B)) & v3_lattice3(B)) & v3_waybel_3(B)) & l1_orders_2(B)) => ![C: $i, D: $i] : (((r1_waybel22(A, C) & r1_waybel22(B, D)) & (k1_card_1(C) = k1_card_1(D))) => r5_waybel_1(A, B))) <=> ![B: $i] : ((~(v2_orders_2(B) & v3_orders_2(B) & v4_orders_2(B) & v1_lattice3(B) & v2_lattice3(B) & v3_lattice3(B) & v3_waybel_3(B) & l1_orders_2(B))) | ![C: $i, D: $i] : ((~(r1_waybel22(A, C) & r1_waybel22(B, D) & (k1_card_1(C) = k1_card_1(D)))) | r5_waybel_1(A, B))))), (((((((((v2_orders_2(A) & v3_orders_2(A)) & v4_orders_2(A)) & v1_lattice3(A)) & v2_lattice3(A)) & v3_lattice3(A)) & v3_waybel_3(A)) & l1_orders_2(A)) => ![B: $i] : ((((((((v2_orders_2(B) & v3_orders_2(B)) & v4_orders_2(B)) & v1_lattice3(B)) & v2_lattice3(B)) & v3_lattice3(B)) & v3_waybel_3(B)) & l1_orders_2(B)) => ![C: $i, D: $i] : (((r1_waybel22(A, C) & r1_waybel22(B, D)) & (k1_card_1(C) = k1_card_1(D))) => r5_waybel_1(A, B)))) <=> ((v2_orders_2(A) & v3_orders_2(A) & v4_orders_2(A) & v1_lattice3(A) & v2_lattice3(A) & v3_lattice3(A) & v3_waybel_3(A) & l1_orders_2(A)) => ![B: $i] : ((~(v2_orders_2(B) & v3_orders_2(B) & v4_orders_2(B) & v1_lattice3(B) & v2_lattice3(B) & v3_lattice3(B) & v3_waybel_3(B) & l1_orders_2(B))) | ![C: $i, D: $i] : ((~(r1_waybel22(A, C) & r1_waybel22(B, D) & (k1_card_1(C) = k1_card_1(D)))) | r5_waybel_1(A, B)))))), rewrite(((v2_orders_2(A) & v3_orders_2(A) & v4_orders_2(A) & v1_lattice3(A) & v2_lattice3(A) & v3_lattice3(A) & v3_waybel_3(A) & l1_orders_2(A)) => ![B: $i] : ((~(v2_orders_2(B) & v3_orders_2(B) & v4_orders_2(B) & v1_lattice3(B) & v2_lattice3(B) & v3_lattice3(B) & v3_waybel_3(B) & l1_orders_2(B))) | ![C: $i, D: $i] : ((~(r1_waybel22(A, C) & r1_waybel22(B, D) & (k1_card_1(C) = k1_card_1(D)))) | r5_waybel_1(A, B)))) <=> ((~(v2_orders_2(A) & v3_orders_2(A) & v4_orders_2(A) & v1_lattice3(A) & v2_lattice3(A) & v3_lattice3(A) & v3_waybel_3(A) & l1_orders_2(A))) | ![B: $i] : ((~(v2_orders_2(B) & v3_orders_2(B) & v4_orders_2(B) & v1_lattice3(B) & v2_lattice3(B) & v3_lattice3(B) & v3_waybel_3(B) & l1_orders_2(B))) | ![C: $i, D: $i] : ((~(r1_waybel22(A, C) & r1_waybel22(B, D) & (k1_card_1(C) = k1_card_1(D)))) | r5_waybel_1(A, B))))), (((((((((v2_orders_2(A) & v3_orders_2(A)) & v4_orders_2(A)) & v1_lattice3(A)) & v2_lattice3(A)) & v3_lattice3(A)) & v3_waybel_3(A)) & l1_orders_2(A)) => ![B: $i] : ((((((((v2_orders_2(B) & v3_orders_2(B)) & v4_orders_2(B)) & v1_lattice3(B)) & v2_lattice3(B)) & v3_lattice3(B)) & v3_waybel_3(B)) & l1_orders_2(B)) => ![C: $i, D: $i] : (((r1_waybel22(A, C) & r1_waybel22(B, D)) & (k1_card_1(C) = k1_card_1(D))) => r5_waybel_1(A, B)))) <=> ((~(v2_orders_2(A) & v3_orders_2(A) & v4_orders_2(A) & v1_lattice3(A) & v2_lattice3(A) & v3_lattice3(A) & v3_waybel_3(A) & l1_orders_2(A))) | ![B: $i] : ((~(v2_orders_2(B) & v3_orders_2(B) & v4_orders_2(B) & v1_lattice3(B) & v2_lattice3(B) & v3_lattice3(B) & v3_waybel_3(B) & l1_orders_2(B))) | ![C: $i, D: $i] : ((~(r1_waybel22(A, C) & r1_waybel22(B, D) & (k1_card_1(C) = k1_card_1(D)))) | r5_waybel_1(A, B))))))),
% 0.60/0.79 inference(bind,[status(th)],[])).
% 0.60/0.79 tff(178,plain,
% 0.60/0.79 (![A: $i] : ((((((((v2_orders_2(A) & v3_orders_2(A)) & v4_orders_2(A)) & v1_lattice3(A)) & v2_lattice3(A)) & v3_lattice3(A)) & v3_waybel_3(A)) & l1_orders_2(A)) => ![B: $i] : ((((((((v2_orders_2(B) & v3_orders_2(B)) & v4_orders_2(B)) & v1_lattice3(B)) & v2_lattice3(B)) & v3_lattice3(B)) & v3_waybel_3(B)) & l1_orders_2(B)) => ![C: $i, D: $i] : (((r1_waybel22(A, C) & r1_waybel22(B, D)) & (k1_card_1(C) = k1_card_1(D))) => r5_waybel_1(A, B)))) <=> ![A: $i] : ((~(v2_orders_2(A) & v3_orders_2(A) & v4_orders_2(A) & v1_lattice3(A) & v2_lattice3(A) & v3_lattice3(A) & v3_waybel_3(A) & l1_orders_2(A))) | ![B: $i] : ((~(v2_orders_2(B) & v3_orders_2(B) & v4_orders_2(B) & v1_lattice3(B) & v2_lattice3(B) & v3_lattice3(B) & v3_waybel_3(B) & l1_orders_2(B))) | ![C: $i, D: $i] : ((~(r1_waybel22(A, C) & r1_waybel22(B, D) & (k1_card_1(C) = k1_card_1(D)))) | r5_waybel_1(A, B))))),
% 0.60/0.79 inference(quant_intro,[status(thm)],[177])).
% 0.60/0.79 tff(179,axiom,(![A: $i] : ((((((((v2_orders_2(A) & v3_orders_2(A)) & v4_orders_2(A)) & v1_lattice3(A)) & v2_lattice3(A)) & v3_lattice3(A)) & v3_waybel_3(A)) & l1_orders_2(A)) => ![B: $i] : ((((((((v2_orders_2(B) & v3_orders_2(B)) & v4_orders_2(B)) & v1_lattice3(B)) & v2_lattice3(B)) & v3_lattice3(B)) & v3_waybel_3(B)) & l1_orders_2(B)) => ![C: $i, D: $i] : (((r1_waybel22(A, C) & r1_waybel22(B, D)) & (k1_card_1(C) = k1_card_1(D))) => r5_waybel_1(A, B))))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','t17_waybel22')).
% 0.60/0.79 tff(180,plain,
% 0.60/0.79 (![A: $i] : ((~(v2_orders_2(A) & v3_orders_2(A) & v4_orders_2(A) & v1_lattice3(A) & v2_lattice3(A) & v3_lattice3(A) & v3_waybel_3(A) & l1_orders_2(A))) | ![B: $i] : ((~(v2_orders_2(B) & v3_orders_2(B) & v4_orders_2(B) & v1_lattice3(B) & v2_lattice3(B) & v3_lattice3(B) & v3_waybel_3(B) & l1_orders_2(B))) | ![C: $i, D: $i] : ((~(r1_waybel22(A, C) & r1_waybel22(B, D) & (k1_card_1(C) = k1_card_1(D)))) | r5_waybel_1(A, B))))),
% 0.60/0.79 inference(modus_ponens,[status(thm)],[179, 178])).
% 0.60/0.79 tff(181,plain,
% 0.60/0.79 (![A: $i] : ((~(v2_orders_2(A) & v3_orders_2(A) & v4_orders_2(A) & v1_lattice3(A) & v2_lattice3(A) & v3_lattice3(A) & v3_waybel_3(A) & l1_orders_2(A))) | ![B: $i] : ((~(v2_orders_2(B) & v3_orders_2(B) & v4_orders_2(B) & v1_lattice3(B) & v2_lattice3(B) & v3_lattice3(B) & v3_waybel_3(B) & l1_orders_2(B))) | ![C: $i, D: $i] : ((~(r1_waybel22(A, C) & r1_waybel22(B, D) & (k1_card_1(C) = k1_card_1(D)))) | r5_waybel_1(A, B))))),
% 0.60/0.79 inference(modus_ponens,[status(thm)],[180, 176])).
% 0.60/0.79 tff(182,plain,(
% 0.60/0.79 ![A: $i] : ((~(v2_orders_2(A) & v3_orders_2(A) & v4_orders_2(A) & v1_lattice3(A) & v2_lattice3(A) & v3_lattice3(A) & v3_waybel_3(A) & l1_orders_2(A))) | ![B: $i] : ((~(v2_orders_2(B) & v3_orders_2(B) & v4_orders_2(B) & v1_lattice3(B) & v2_lattice3(B) & v3_lattice3(B) & v3_waybel_3(B) & l1_orders_2(B))) | ![C: $i, D: $i] : ((~(r1_waybel22(A, C) & r1_waybel22(B, D) & (k1_card_1(C) = k1_card_1(D)))) | r5_waybel_1(A, B))))),
% 0.60/0.79 inference(skolemize,[status(sab)],[181])).
% 0.60/0.79 tff(183,plain,
% 0.60/0.79 (![A: $i] : ((~l1_orders_2(A)) | (~v1_lattice3(A)) | (~v2_lattice3(A)) | (~v2_orders_2(A)) | (~v3_lattice3(A)) | (~v3_orders_2(A)) | (~v4_orders_2(A)) | (~v3_waybel_3(A)) | ![B: $i] : ((~l1_orders_2(B)) | (~v1_lattice3(B)) | (~v2_lattice3(B)) | (~v2_orders_2(B)) | (~v3_lattice3(B)) | (~v3_orders_2(B)) | (~v4_orders_2(B)) | (~v3_waybel_3(B)) | ![C: $i, D: $i] : (r5_waybel_1(A, B) | (~r1_waybel22(A, C)) | (~r1_waybel22(B, D)) | (~(k1_card_1(C) = k1_card_1(D))))))),
% 0.60/0.79 inference(modus_ponens,[status(thm)],[182, 175])).
% 0.60/0.79 tff(184,plain,
% 0.60/0.79 (![A: $i] : ((~l1_orders_2(A)) | (~v1_lattice3(A)) | (~v2_lattice3(A)) | (~v2_orders_2(A)) | (~v3_lattice3(A)) | (~v3_orders_2(A)) | (~v4_orders_2(A)) | (~v3_waybel_3(A)) | ![B: $i] : ((~l1_orders_2(B)) | (~v1_lattice3(B)) | (~v2_lattice3(B)) | (~v2_orders_2(B)) | (~v3_lattice3(B)) | (~v3_orders_2(B)) | (~v4_orders_2(B)) | (~v3_waybel_3(B)) | ![C: $i, D: $i] : (r5_waybel_1(A, B) | (~r1_waybel22(A, C)) | (~r1_waybel22(B, D)) | (~(k1_card_1(C) = k1_card_1(D))))))),
% 0.60/0.79 inference(modus_ponens,[status(thm)],[183, 173])).
% 0.60/0.79 tff(185,plain,
% 0.60/0.79 (l1_orders_2(B!0)),
% 0.60/0.79 inference(and_elim,[status(thm)],[31])).
% 0.60/0.79 tff(186,plain,
% 0.60/0.79 (v3_waybel_3(B!0)),
% 0.60/0.79 inference(and_elim,[status(thm)],[31])).
% 0.60/0.79 tff(187,plain,
% 0.60/0.79 (v3_lattice3(B!0)),
% 0.60/0.79 inference(and_elim,[status(thm)],[31])).
% 0.60/0.79 tff(188,plain,
% 0.60/0.79 (v2_lattice3(B!0)),
% 0.60/0.79 inference(and_elim,[status(thm)],[31])).
% 0.60/0.79 tff(189,plain,
% 0.60/0.79 (v1_lattice3(B!0)),
% 0.60/0.79 inference(and_elim,[status(thm)],[31])).
% 0.60/0.79 tff(190,plain,
% 0.60/0.79 (v4_orders_2(B!0)),
% 0.60/0.79 inference(and_elim,[status(thm)],[31])).
% 0.60/0.79 tff(191,plain,
% 0.60/0.79 (v3_orders_2(B!0)),
% 0.60/0.79 inference(and_elim,[status(thm)],[31])).
% 0.60/0.79 tff(192,plain,
% 0.60/0.79 (v2_orders_2(B!0)),
% 0.60/0.79 inference(and_elim,[status(thm)],[31])).
% 0.60/0.79 tff(193,plain,
% 0.60/0.79 (((~![A: $i] : ((~l1_orders_2(A)) | (~v1_lattice3(A)) | (~v2_lattice3(A)) | (~v2_orders_2(A)) | (~v3_lattice3(A)) | (~v3_orders_2(A)) | (~v4_orders_2(A)) | (~v3_waybel_3(A)) | ![B: $i] : ((~l1_orders_2(B)) | (~v1_lattice3(B)) | (~v2_lattice3(B)) | (~v2_orders_2(B)) | (~v3_lattice3(B)) | (~v3_orders_2(B)) | (~v4_orders_2(B)) | (~v3_waybel_3(B)) | ![C: $i, D: $i] : (r5_waybel_1(A, B) | (~r1_waybel22(A, C)) | (~r1_waybel22(B, D)) | (~(k1_card_1(C) = k1_card_1(D))))))) | ((~v3_waybel_3(B!0)) | (~v4_orders_2(B!0)) | (~v3_orders_2(B!0)) | (~v3_lattice3(B!0)) | (~v2_orders_2(B!0)) | (~v2_lattice3(B!0)) | (~v1_lattice3(B!0)) | (~l1_orders_2(B!0)) | ![B: $i] : ((~l1_orders_2(B)) | (~v1_lattice3(B)) | (~v2_lattice3(B)) | (~v2_orders_2(B)) | (~v3_lattice3(B)) | (~v3_orders_2(B)) | (~v4_orders_2(B)) | (~v3_waybel_3(B)) | ![C: $i, D: $i] : ((~r1_waybel22(B, D)) | (~(k1_card_1(C) = k1_card_1(D))) | r5_waybel_1(B!0, B) | (~r1_waybel22(B!0, C)))))) <=> ((~![A: $i] : ((~l1_orders_2(A)) | (~v1_lattice3(A)) | (~v2_lattice3(A)) | (~v2_orders_2(A)) | (~v3_lattice3(A)) | (~v3_orders_2(A)) | (~v4_orders_2(A)) | (~v3_waybel_3(A)) | ![B: $i] : ((~l1_orders_2(B)) | (~v1_lattice3(B)) | (~v2_lattice3(B)) | (~v2_orders_2(B)) | (~v3_lattice3(B)) | (~v3_orders_2(B)) | (~v4_orders_2(B)) | (~v3_waybel_3(B)) | ![C: $i, D: $i] : (r5_waybel_1(A, B) | (~r1_waybel22(A, C)) | (~r1_waybel22(B, D)) | (~(k1_card_1(C) = k1_card_1(D))))))) | (~v3_waybel_3(B!0)) | (~v4_orders_2(B!0)) | (~v3_orders_2(B!0)) | (~v3_lattice3(B!0)) | (~v2_orders_2(B!0)) | (~v2_lattice3(B!0)) | (~v1_lattice3(B!0)) | (~l1_orders_2(B!0)) | ![B: $i] : ((~l1_orders_2(B)) | (~v1_lattice3(B)) | (~v2_lattice3(B)) | (~v2_orders_2(B)) | (~v3_lattice3(B)) | (~v3_orders_2(B)) | (~v4_orders_2(B)) | (~v3_waybel_3(B)) | ![C: $i, D: $i] : ((~r1_waybel22(B, D)) | (~(k1_card_1(C) = k1_card_1(D))) | r5_waybel_1(B!0, B) | (~r1_waybel22(B!0, C)))))),
% 0.60/0.79 inference(rewrite,[status(thm)],[])).
% 0.60/0.79 tff(194,plain,
% 0.60/0.79 (((~l1_orders_2(B!0)) | (~v1_lattice3(B!0)) | (~v2_lattice3(B!0)) | (~v2_orders_2(B!0)) | (~v3_lattice3(B!0)) | (~v3_orders_2(B!0)) | (~v4_orders_2(B!0)) | (~v3_waybel_3(B!0)) | ![B: $i] : ((~l1_orders_2(B)) | (~v1_lattice3(B)) | (~v2_lattice3(B)) | (~v2_orders_2(B)) | (~v3_lattice3(B)) | (~v3_orders_2(B)) | (~v4_orders_2(B)) | (~v3_waybel_3(B)) | ![C: $i, D: $i] : ((~r1_waybel22(B, D)) | (~(k1_card_1(C) = k1_card_1(D))) | r5_waybel_1(B!0, B) | (~r1_waybel22(B!0, C))))) <=> ((~v3_waybel_3(B!0)) | (~v4_orders_2(B!0)) | (~v3_orders_2(B!0)) | (~v3_lattice3(B!0)) | (~v2_orders_2(B!0)) | (~v2_lattice3(B!0)) | (~v1_lattice3(B!0)) | (~l1_orders_2(B!0)) | ![B: $i] : ((~l1_orders_2(B)) | (~v1_lattice3(B)) | (~v2_lattice3(B)) | (~v2_orders_2(B)) | (~v3_lattice3(B)) | (~v3_orders_2(B)) | (~v4_orders_2(B)) | (~v3_waybel_3(B)) | ![C: $i, D: $i] : ((~r1_waybel22(B, D)) | (~(k1_card_1(C) = k1_card_1(D))) | r5_waybel_1(B!0, B) | (~r1_waybel22(B!0, C)))))),
% 0.60/0.79 inference(rewrite,[status(thm)],[])).
% 0.60/0.79 tff(195,plain,
% 0.60/0.79 (^[B: $i] : trans(monotonicity(quant_intro(proof_bind(^[C: $i, D: $i] : rewrite((r5_waybel_1(B!0, B) | (~r1_waybel22(B!0, C)) | (~r1_waybel22(B, D)) | (~(k1_card_1(C) = k1_card_1(D)))) <=> ((~r1_waybel22(B, D)) | (~(k1_card_1(C) = k1_card_1(D))) | r5_waybel_1(B!0, B) | (~r1_waybel22(B!0, C))))), (![C: $i, D: $i] : (r5_waybel_1(B!0, B) | (~r1_waybel22(B!0, C)) | (~r1_waybel22(B, D)) | (~(k1_card_1(C) = k1_card_1(D)))) <=> ![C: $i, D: $i] : ((~r1_waybel22(B, D)) | (~(k1_card_1(C) = k1_card_1(D))) | r5_waybel_1(B!0, B) | (~r1_waybel22(B!0, C))))), (((~l1_orders_2(B)) | (~v1_lattice3(B)) | (~v2_lattice3(B)) | (~v2_orders_2(B)) | (~v3_lattice3(B)) | (~v3_orders_2(B)) | (~v4_orders_2(B)) | (~v3_waybel_3(B)) | ![C: $i, D: $i] : (r5_waybel_1(B!0, B) | (~r1_waybel22(B!0, C)) | (~r1_waybel22(B, D)) | (~(k1_card_1(C) = k1_card_1(D))))) <=> ((~l1_orders_2(B)) | (~v1_lattice3(B)) | (~v2_lattice3(B)) | (~v2_orders_2(B)) | (~v3_lattice3(B)) | (~v3_orders_2(B)) | (~v4_orders_2(B)) | (~v3_waybel_3(B)) | ![C: $i, D: $i] : ((~r1_waybel22(B, D)) | (~(k1_card_1(C) = k1_card_1(D))) | r5_waybel_1(B!0, B) | (~r1_waybel22(B!0, C)))))), rewrite(((~l1_orders_2(B)) | (~v1_lattice3(B)) | (~v2_lattice3(B)) | (~v2_orders_2(B)) | (~v3_lattice3(B)) | (~v3_orders_2(B)) | (~v4_orders_2(B)) | (~v3_waybel_3(B)) | ![C: $i, D: $i] : ((~r1_waybel22(B, D)) | (~(k1_card_1(C) = k1_card_1(D))) | r5_waybel_1(B!0, B) | (~r1_waybel22(B!0, C)))) <=> ((~l1_orders_2(B)) | (~v1_lattice3(B)) | (~v2_lattice3(B)) | (~v2_orders_2(B)) | (~v3_lattice3(B)) | (~v3_orders_2(B)) | (~v4_orders_2(B)) | (~v3_waybel_3(B)) | ![C: $i, D: $i] : ((~r1_waybel22(B, D)) | (~(k1_card_1(C) = k1_card_1(D))) | r5_waybel_1(B!0, B) | (~r1_waybel22(B!0, C))))), (((~l1_orders_2(B)) | (~v1_lattice3(B)) | (~v2_lattice3(B)) | (~v2_orders_2(B)) | (~v3_lattice3(B)) | (~v3_orders_2(B)) | (~v4_orders_2(B)) | (~v3_waybel_3(B)) | ![C: $i, D: $i] : (r5_waybel_1(B!0, B) | (~r1_waybel22(B!0, C)) | (~r1_waybel22(B, D)) | (~(k1_card_1(C) = k1_card_1(D))))) <=> ((~l1_orders_2(B)) | (~v1_lattice3(B)) | (~v2_lattice3(B)) | (~v2_orders_2(B)) | (~v3_lattice3(B)) | (~v3_orders_2(B)) | (~v4_orders_2(B)) | (~v3_waybel_3(B)) | ![C: $i, D: $i] : ((~r1_waybel22(B, D)) | (~(k1_card_1(C) = k1_card_1(D))) | r5_waybel_1(B!0, B) | (~r1_waybel22(B!0, C))))))),
% 0.60/0.79 inference(bind,[status(th)],[])).
% 0.60/0.79 tff(196,plain,
% 0.60/0.79 (![B: $i] : ((~l1_orders_2(B)) | (~v1_lattice3(B)) | (~v2_lattice3(B)) | (~v2_orders_2(B)) | (~v3_lattice3(B)) | (~v3_orders_2(B)) | (~v4_orders_2(B)) | (~v3_waybel_3(B)) | ![C: $i, D: $i] : (r5_waybel_1(B!0, B) | (~r1_waybel22(B!0, C)) | (~r1_waybel22(B, D)) | (~(k1_card_1(C) = k1_card_1(D))))) <=> ![B: $i] : ((~l1_orders_2(B)) | (~v1_lattice3(B)) | (~v2_lattice3(B)) | (~v2_orders_2(B)) | (~v3_lattice3(B)) | (~v3_orders_2(B)) | (~v4_orders_2(B)) | (~v3_waybel_3(B)) | ![C: $i, D: $i] : ((~r1_waybel22(B, D)) | (~(k1_card_1(C) = k1_card_1(D))) | r5_waybel_1(B!0, B) | (~r1_waybel22(B!0, C))))),
% 0.60/0.79 inference(quant_intro,[status(thm)],[195])).
% 0.60/0.79 tff(197,plain,
% 0.60/0.79 (((~l1_orders_2(B!0)) | (~v1_lattice3(B!0)) | (~v2_lattice3(B!0)) | (~v2_orders_2(B!0)) | (~v3_lattice3(B!0)) | (~v3_orders_2(B!0)) | (~v4_orders_2(B!0)) | (~v3_waybel_3(B!0)) | ![B: $i] : ((~l1_orders_2(B)) | (~v1_lattice3(B)) | (~v2_lattice3(B)) | (~v2_orders_2(B)) | (~v3_lattice3(B)) | (~v3_orders_2(B)) | (~v4_orders_2(B)) | (~v3_waybel_3(B)) | ![C: $i, D: $i] : (r5_waybel_1(B!0, B) | (~r1_waybel22(B!0, C)) | (~r1_waybel22(B, D)) | (~(k1_card_1(C) = k1_card_1(D)))))) <=> ((~l1_orders_2(B!0)) | (~v1_lattice3(B!0)) | (~v2_lattice3(B!0)) | (~v2_orders_2(B!0)) | (~v3_lattice3(B!0)) | (~v3_orders_2(B!0)) | (~v4_orders_2(B!0)) | (~v3_waybel_3(B!0)) | ![B: $i] : ((~l1_orders_2(B)) | (~v1_lattice3(B)) | (~v2_lattice3(B)) | (~v2_orders_2(B)) | (~v3_lattice3(B)) | (~v3_orders_2(B)) | (~v4_orders_2(B)) | (~v3_waybel_3(B)) | ![C: $i, D: $i] : ((~r1_waybel22(B, D)) | (~(k1_card_1(C) = k1_card_1(D))) | r5_waybel_1(B!0, B) | (~r1_waybel22(B!0, C)))))),
% 0.60/0.79 inference(monotonicity,[status(thm)],[196])).
% 0.60/0.79 tff(198,plain,
% 0.60/0.79 (((~l1_orders_2(B!0)) | (~v1_lattice3(B!0)) | (~v2_lattice3(B!0)) | (~v2_orders_2(B!0)) | (~v3_lattice3(B!0)) | (~v3_orders_2(B!0)) | (~v4_orders_2(B!0)) | (~v3_waybel_3(B!0)) | ![B: $i] : ((~l1_orders_2(B)) | (~v1_lattice3(B)) | (~v2_lattice3(B)) | (~v2_orders_2(B)) | (~v3_lattice3(B)) | (~v3_orders_2(B)) | (~v4_orders_2(B)) | (~v3_waybel_3(B)) | ![C: $i, D: $i] : (r5_waybel_1(B!0, B) | (~r1_waybel22(B!0, C)) | (~r1_waybel22(B, D)) | (~(k1_card_1(C) = k1_card_1(D)))))) <=> ((~v3_waybel_3(B!0)) | (~v4_orders_2(B!0)) | (~v3_orders_2(B!0)) | (~v3_lattice3(B!0)) | (~v2_orders_2(B!0)) | (~v2_lattice3(B!0)) | (~v1_lattice3(B!0)) | (~l1_orders_2(B!0)) | ![B: $i] : ((~l1_orders_2(B)) | (~v1_lattice3(B)) | (~v2_lattice3(B)) | (~v2_orders_2(B)) | (~v3_lattice3(B)) | (~v3_orders_2(B)) | (~v4_orders_2(B)) | (~v3_waybel_3(B)) | ![C: $i, D: $i] : ((~r1_waybel22(B, D)) | (~(k1_card_1(C) = k1_card_1(D))) | r5_waybel_1(B!0, B) | (~r1_waybel22(B!0, C)))))),
% 0.60/0.79 inference(transitivity,[status(thm)],[197, 194])).
% 0.60/0.79 tff(199,plain,
% 0.60/0.79 (((~![A: $i] : ((~l1_orders_2(A)) | (~v1_lattice3(A)) | (~v2_lattice3(A)) | (~v2_orders_2(A)) | (~v3_lattice3(A)) | (~v3_orders_2(A)) | (~v4_orders_2(A)) | (~v3_waybel_3(A)) | ![B: $i] : ((~l1_orders_2(B)) | (~v1_lattice3(B)) | (~v2_lattice3(B)) | (~v2_orders_2(B)) | (~v3_lattice3(B)) | (~v3_orders_2(B)) | (~v4_orders_2(B)) | (~v3_waybel_3(B)) | ![C: $i, D: $i] : (r5_waybel_1(A, B) | (~r1_waybel22(A, C)) | (~r1_waybel22(B, D)) | (~(k1_card_1(C) = k1_card_1(D))))))) | ((~l1_orders_2(B!0)) | (~v1_lattice3(B!0)) | (~v2_lattice3(B!0)) | (~v2_orders_2(B!0)) | (~v3_lattice3(B!0)) | (~v3_orders_2(B!0)) | (~v4_orders_2(B!0)) | (~v3_waybel_3(B!0)) | ![B: $i] : ((~l1_orders_2(B)) | (~v1_lattice3(B)) | (~v2_lattice3(B)) | (~v2_orders_2(B)) | (~v3_lattice3(B)) | (~v3_orders_2(B)) | (~v4_orders_2(B)) | (~v3_waybel_3(B)) | ![C: $i, D: $i] : (r5_waybel_1(B!0, B) | (~r1_waybel22(B!0, C)) | (~r1_waybel22(B, D)) | (~(k1_card_1(C) = k1_card_1(D))))))) <=> ((~![A: $i] : ((~l1_orders_2(A)) | (~v1_lattice3(A)) | (~v2_lattice3(A)) | (~v2_orders_2(A)) | (~v3_lattice3(A)) | (~v3_orders_2(A)) | (~v4_orders_2(A)) | (~v3_waybel_3(A)) | ![B: $i] : ((~l1_orders_2(B)) | (~v1_lattice3(B)) | (~v2_lattice3(B)) | (~v2_orders_2(B)) | (~v3_lattice3(B)) | (~v3_orders_2(B)) | (~v4_orders_2(B)) | (~v3_waybel_3(B)) | ![C: $i, D: $i] : (r5_waybel_1(A, B) | (~r1_waybel22(A, C)) | (~r1_waybel22(B, D)) | (~(k1_card_1(C) = k1_card_1(D))))))) | ((~v3_waybel_3(B!0)) | (~v4_orders_2(B!0)) | (~v3_orders_2(B!0)) | (~v3_lattice3(B!0)) | (~v2_orders_2(B!0)) | (~v2_lattice3(B!0)) | (~v1_lattice3(B!0)) | (~l1_orders_2(B!0)) | ![B: $i] : ((~l1_orders_2(B)) | (~v1_lattice3(B)) | (~v2_lattice3(B)) | (~v2_orders_2(B)) | (~v3_lattice3(B)) | (~v3_orders_2(B)) | (~v4_orders_2(B)) | (~v3_waybel_3(B)) | ![C: $i, D: $i] : ((~r1_waybel22(B, D)) | (~(k1_card_1(C) = k1_card_1(D))) | r5_waybel_1(B!0, B) | (~r1_waybel22(B!0, C))))))),
% 0.60/0.79 inference(monotonicity,[status(thm)],[198])).
% 0.60/0.79 tff(200,plain,
% 0.60/0.79 (((~![A: $i] : ((~l1_orders_2(A)) | (~v1_lattice3(A)) | (~v2_lattice3(A)) | (~v2_orders_2(A)) | (~v3_lattice3(A)) | (~v3_orders_2(A)) | (~v4_orders_2(A)) | (~v3_waybel_3(A)) | ![B: $i] : ((~l1_orders_2(B)) | (~v1_lattice3(B)) | (~v2_lattice3(B)) | (~v2_orders_2(B)) | (~v3_lattice3(B)) | (~v3_orders_2(B)) | (~v4_orders_2(B)) | (~v3_waybel_3(B)) | ![C: $i, D: $i] : (r5_waybel_1(A, B) | (~r1_waybel22(A, C)) | (~r1_waybel22(B, D)) | (~(k1_card_1(C) = k1_card_1(D))))))) | ((~l1_orders_2(B!0)) | (~v1_lattice3(B!0)) | (~v2_lattice3(B!0)) | (~v2_orders_2(B!0)) | (~v3_lattice3(B!0)) | (~v3_orders_2(B!0)) | (~v4_orders_2(B!0)) | (~v3_waybel_3(B!0)) | ![B: $i] : ((~l1_orders_2(B)) | (~v1_lattice3(B)) | (~v2_lattice3(B)) | (~v2_orders_2(B)) | (~v3_lattice3(B)) | (~v3_orders_2(B)) | (~v4_orders_2(B)) | (~v3_waybel_3(B)) | ![C: $i, D: $i] : (r5_waybel_1(B!0, B) | (~r1_waybel22(B!0, C)) | (~r1_waybel22(B, D)) | (~(k1_card_1(C) = k1_card_1(D))))))) <=> ((~![A: $i] : ((~l1_orders_2(A)) | (~v1_lattice3(A)) | (~v2_lattice3(A)) | (~v2_orders_2(A)) | (~v3_lattice3(A)) | (~v3_orders_2(A)) | (~v4_orders_2(A)) | (~v3_waybel_3(A)) | ![B: $i] : ((~l1_orders_2(B)) | (~v1_lattice3(B)) | (~v2_lattice3(B)) | (~v2_orders_2(B)) | (~v3_lattice3(B)) | (~v3_orders_2(B)) | (~v4_orders_2(B)) | (~v3_waybel_3(B)) | ![C: $i, D: $i] : (r5_waybel_1(A, B) | (~r1_waybel22(A, C)) | (~r1_waybel22(B, D)) | (~(k1_card_1(C) = k1_card_1(D))))))) | (~v3_waybel_3(B!0)) | (~v4_orders_2(B!0)) | (~v3_orders_2(B!0)) | (~v3_lattice3(B!0)) | (~v2_orders_2(B!0)) | (~v2_lattice3(B!0)) | (~v1_lattice3(B!0)) | (~l1_orders_2(B!0)) | ![B: $i] : ((~l1_orders_2(B)) | (~v1_lattice3(B)) | (~v2_lattice3(B)) | (~v2_orders_2(B)) | (~v3_lattice3(B)) | (~v3_orders_2(B)) | (~v4_orders_2(B)) | (~v3_waybel_3(B)) | ![C: $i, D: $i] : ((~r1_waybel22(B, D)) | (~(k1_card_1(C) = k1_card_1(D))) | r5_waybel_1(B!0, B) | (~r1_waybel22(B!0, C)))))),
% 0.60/0.79 inference(transitivity,[status(thm)],[199, 193])).
% 0.60/0.79 tff(201,plain,
% 0.60/0.79 ((~![A: $i] : ((~l1_orders_2(A)) | (~v1_lattice3(A)) | (~v2_lattice3(A)) | (~v2_orders_2(A)) | (~v3_lattice3(A)) | (~v3_orders_2(A)) | (~v4_orders_2(A)) | (~v3_waybel_3(A)) | ![B: $i] : ((~l1_orders_2(B)) | (~v1_lattice3(B)) | (~v2_lattice3(B)) | (~v2_orders_2(B)) | (~v3_lattice3(B)) | (~v3_orders_2(B)) | (~v4_orders_2(B)) | (~v3_waybel_3(B)) | ![C: $i, D: $i] : (r5_waybel_1(A, B) | (~r1_waybel22(A, C)) | (~r1_waybel22(B, D)) | (~(k1_card_1(C) = k1_card_1(D))))))) | ((~l1_orders_2(B!0)) | (~v1_lattice3(B!0)) | (~v2_lattice3(B!0)) | (~v2_orders_2(B!0)) | (~v3_lattice3(B!0)) | (~v3_orders_2(B!0)) | (~v4_orders_2(B!0)) | (~v3_waybel_3(B!0)) | ![B: $i] : ((~l1_orders_2(B)) | (~v1_lattice3(B)) | (~v2_lattice3(B)) | (~v2_orders_2(B)) | (~v3_lattice3(B)) | (~v3_orders_2(B)) | (~v4_orders_2(B)) | (~v3_waybel_3(B)) | ![C: $i, D: $i] : (r5_waybel_1(B!0, B) | (~r1_waybel22(B!0, C)) | (~r1_waybel22(B, D)) | (~(k1_card_1(C) = k1_card_1(D))))))),
% 0.60/0.79 inference(quant_inst,[status(thm)],[])).
% 0.60/0.79 tff(202,plain,
% 0.60/0.79 ((~![A: $i] : ((~l1_orders_2(A)) | (~v1_lattice3(A)) | (~v2_lattice3(A)) | (~v2_orders_2(A)) | (~v3_lattice3(A)) | (~v3_orders_2(A)) | (~v4_orders_2(A)) | (~v3_waybel_3(A)) | ![B: $i] : ((~l1_orders_2(B)) | (~v1_lattice3(B)) | (~v2_lattice3(B)) | (~v2_orders_2(B)) | (~v3_lattice3(B)) | (~v3_orders_2(B)) | (~v4_orders_2(B)) | (~v3_waybel_3(B)) | ![C: $i, D: $i] : (r5_waybel_1(A, B) | (~r1_waybel22(A, C)) | (~r1_waybel22(B, D)) | (~(k1_card_1(C) = k1_card_1(D))))))) | (~v3_waybel_3(B!0)) | (~v4_orders_2(B!0)) | (~v3_orders_2(B!0)) | (~v3_lattice3(B!0)) | (~v2_orders_2(B!0)) | (~v2_lattice3(B!0)) | (~v1_lattice3(B!0)) | (~l1_orders_2(B!0)) | ![B: $i] : ((~l1_orders_2(B)) | (~v1_lattice3(B)) | (~v2_lattice3(B)) | (~v2_orders_2(B)) | (~v3_lattice3(B)) | (~v3_orders_2(B)) | (~v4_orders_2(B)) | (~v3_waybel_3(B)) | ![C: $i, D: $i] : ((~r1_waybel22(B, D)) | (~(k1_card_1(C) = k1_card_1(D))) | r5_waybel_1(B!0, B) | (~r1_waybel22(B!0, C))))),
% 0.60/0.79 inference(modus_ponens,[status(thm)],[201, 200])).
% 0.60/0.79 tff(203,plain,
% 0.60/0.79 (![B: $i] : ((~l1_orders_2(B)) | (~v1_lattice3(B)) | (~v2_lattice3(B)) | (~v2_orders_2(B)) | (~v3_lattice3(B)) | (~v3_orders_2(B)) | (~v4_orders_2(B)) | (~v3_waybel_3(B)) | ![C: $i, D: $i] : ((~r1_waybel22(B, D)) | (~(k1_card_1(C) = k1_card_1(D))) | r5_waybel_1(B!0, B) | (~r1_waybel22(B!0, C))))),
% 0.60/0.79 inference(unit_resolution,[status(thm)],[202, 192, 191, 190, 189, 188, 187, 186, 185, 184])).
% 0.60/0.79 tff(204,plain,
% 0.60/0.79 (((~![B: $i] : ((~l1_orders_2(B)) | (~v1_lattice3(B)) | (~v2_lattice3(B)) | (~v2_orders_2(B)) | (~v3_lattice3(B)) | (~v3_orders_2(B)) | (~v4_orders_2(B)) | (~v3_waybel_3(B)) | ![C: $i, D: $i] : ((~r1_waybel22(B, D)) | (~(k1_card_1(C) = k1_card_1(D))) | r5_waybel_1(B!0, B) | (~r1_waybel22(B!0, C))))) | ((~v2_orders_2(k2_yellow_1(k9_waybel_0(k3_yellow_1(A!1))))) | (~v3_orders_2(k2_yellow_1(k9_waybel_0(k3_yellow_1(A!1))))) | (~v4_orders_2(k2_yellow_1(k9_waybel_0(k3_yellow_1(A!1))))) | (~v2_lattice3(k2_yellow_1(k9_waybel_0(k3_yellow_1(A!1))))) | (~v3_lattice3(k2_yellow_1(k9_waybel_0(k3_yellow_1(A!1))))) | (~v1_lattice3(k2_yellow_1(k9_waybel_0(k3_yellow_1(A!1))))) | (~v3_waybel_3(k2_yellow_1(k9_waybel_0(k3_yellow_1(A!1))))) | (~l1_orders_2(k2_yellow_1(k9_waybel_0(k3_yellow_1(A!1))))) | ![C: $i, D: $i] : (r5_waybel_1(B!0, k2_yellow_1(k9_waybel_0(k3_yellow_1(A!1)))) | (~(k1_card_1(C) = k1_card_1(D))) | (~r1_waybel22(B!0, C)) | (~r1_waybel22(k2_yellow_1(k9_waybel_0(k3_yellow_1(A!1))), D))))) <=> ((~![B: $i] : ((~l1_orders_2(B)) | (~v1_lattice3(B)) | (~v2_lattice3(B)) | (~v2_orders_2(B)) | (~v3_lattice3(B)) | (~v3_orders_2(B)) | (~v4_orders_2(B)) | (~v3_waybel_3(B)) | ![C: $i, D: $i] : ((~r1_waybel22(B, D)) | (~(k1_card_1(C) = k1_card_1(D))) | r5_waybel_1(B!0, B) | (~r1_waybel22(B!0, C))))) | (~v2_orders_2(k2_yellow_1(k9_waybel_0(k3_yellow_1(A!1))))) | (~v3_orders_2(k2_yellow_1(k9_waybel_0(k3_yellow_1(A!1))))) | (~v4_orders_2(k2_yellow_1(k9_waybel_0(k3_yellow_1(A!1))))) | (~v2_lattice3(k2_yellow_1(k9_waybel_0(k3_yellow_1(A!1))))) | (~v3_lattice3(k2_yellow_1(k9_waybel_0(k3_yellow_1(A!1))))) | (~v1_lattice3(k2_yellow_1(k9_waybel_0(k3_yellow_1(A!1))))) | (~v3_waybel_3(k2_yellow_1(k9_waybel_0(k3_yellow_1(A!1))))) | (~l1_orders_2(k2_yellow_1(k9_waybel_0(k3_yellow_1(A!1))))) | ![C: $i, D: $i] : (r5_waybel_1(B!0, k2_yellow_1(k9_waybel_0(k3_yellow_1(A!1)))) | (~(k1_card_1(C) = k1_card_1(D))) | (~r1_waybel22(B!0, C)) | (~r1_waybel22(k2_yellow_1(k9_waybel_0(k3_yellow_1(A!1))), D))))),
% 0.60/0.79 inference(rewrite,[status(thm)],[])).
% 0.60/0.79 tff(205,plain,
% 0.60/0.79 (((~l1_orders_2(k2_yellow_1(k9_waybel_0(k3_yellow_1(A!1))))) | (~v1_lattice3(k2_yellow_1(k9_waybel_0(k3_yellow_1(A!1))))) | (~v2_lattice3(k2_yellow_1(k9_waybel_0(k3_yellow_1(A!1))))) | (~v2_orders_2(k2_yellow_1(k9_waybel_0(k3_yellow_1(A!1))))) | (~v3_lattice3(k2_yellow_1(k9_waybel_0(k3_yellow_1(A!1))))) | (~v3_orders_2(k2_yellow_1(k9_waybel_0(k3_yellow_1(A!1))))) | (~v4_orders_2(k2_yellow_1(k9_waybel_0(k3_yellow_1(A!1))))) | (~v3_waybel_3(k2_yellow_1(k9_waybel_0(k3_yellow_1(A!1))))) | ![C: $i, D: $i] : (r5_waybel_1(B!0, k2_yellow_1(k9_waybel_0(k3_yellow_1(A!1)))) | (~(k1_card_1(C) = k1_card_1(D))) | (~r1_waybel22(B!0, C)) | (~r1_waybel22(k2_yellow_1(k9_waybel_0(k3_yellow_1(A!1))), D)))) <=> ((~v2_orders_2(k2_yellow_1(k9_waybel_0(k3_yellow_1(A!1))))) | (~v3_orders_2(k2_yellow_1(k9_waybel_0(k3_yellow_1(A!1))))) | (~v4_orders_2(k2_yellow_1(k9_waybel_0(k3_yellow_1(A!1))))) | (~v2_lattice3(k2_yellow_1(k9_waybel_0(k3_yellow_1(A!1))))) | (~v3_lattice3(k2_yellow_1(k9_waybel_0(k3_yellow_1(A!1))))) | (~v1_lattice3(k2_yellow_1(k9_waybel_0(k3_yellow_1(A!1))))) | (~v3_waybel_3(k2_yellow_1(k9_waybel_0(k3_yellow_1(A!1))))) | (~l1_orders_2(k2_yellow_1(k9_waybel_0(k3_yellow_1(A!1))))) | ![C: $i, D: $i] : (r5_waybel_1(B!0, k2_yellow_1(k9_waybel_0(k3_yellow_1(A!1)))) | (~(k1_card_1(C) = k1_card_1(D))) | (~r1_waybel22(B!0, C)) | (~r1_waybel22(k2_yellow_1(k9_waybel_0(k3_yellow_1(A!1))), D))))),
% 0.60/0.79 inference(rewrite,[status(thm)],[])).
% 0.60/0.79 tff(206,plain,
% 0.60/0.79 (^[C: $i, D: $i] : rewrite(((~r1_waybel22(k2_yellow_1(k9_waybel_0(k3_yellow_1(A!1))), D)) | (~(k1_card_1(C) = k1_card_1(D))) | r5_waybel_1(B!0, k2_yellow_1(k9_waybel_0(k3_yellow_1(A!1)))) | (~r1_waybel22(B!0, C))) <=> (r5_waybel_1(B!0, k2_yellow_1(k9_waybel_0(k3_yellow_1(A!1)))) | (~(k1_card_1(C) = k1_card_1(D))) | (~r1_waybel22(B!0, C)) | (~r1_waybel22(k2_yellow_1(k9_waybel_0(k3_yellow_1(A!1))), D))))),
% 0.60/0.79 inference(bind,[status(th)],[])).
% 0.60/0.79 tff(207,plain,
% 0.60/0.79 (![C: $i, D: $i] : ((~r1_waybel22(k2_yellow_1(k9_waybel_0(k3_yellow_1(A!1))), D)) | (~(k1_card_1(C) = k1_card_1(D))) | r5_waybel_1(B!0, k2_yellow_1(k9_waybel_0(k3_yellow_1(A!1)))) | (~r1_waybel22(B!0, C))) <=> ![C: $i, D: $i] : (r5_waybel_1(B!0, k2_yellow_1(k9_waybel_0(k3_yellow_1(A!1)))) | (~(k1_card_1(C) = k1_card_1(D))) | (~r1_waybel22(B!0, C)) | (~r1_waybel22(k2_yellow_1(k9_waybel_0(k3_yellow_1(A!1))), D)))),
% 0.60/0.79 inference(quant_intro,[status(thm)],[206])).
% 0.60/0.79 tff(208,plain,
% 0.60/0.79 (((~l1_orders_2(k2_yellow_1(k9_waybel_0(k3_yellow_1(A!1))))) | (~v1_lattice3(k2_yellow_1(k9_waybel_0(k3_yellow_1(A!1))))) | (~v2_lattice3(k2_yellow_1(k9_waybel_0(k3_yellow_1(A!1))))) | (~v2_orders_2(k2_yellow_1(k9_waybel_0(k3_yellow_1(A!1))))) | (~v3_lattice3(k2_yellow_1(k9_waybel_0(k3_yellow_1(A!1))))) | (~v3_orders_2(k2_yellow_1(k9_waybel_0(k3_yellow_1(A!1))))) | (~v4_orders_2(k2_yellow_1(k9_waybel_0(k3_yellow_1(A!1))))) | (~v3_waybel_3(k2_yellow_1(k9_waybel_0(k3_yellow_1(A!1))))) | ![C: $i, D: $i] : ((~r1_waybel22(k2_yellow_1(k9_waybel_0(k3_yellow_1(A!1))), D)) | (~(k1_card_1(C) = k1_card_1(D))) | r5_waybel_1(B!0, k2_yellow_1(k9_waybel_0(k3_yellow_1(A!1)))) | (~r1_waybel22(B!0, C)))) <=> ((~l1_orders_2(k2_yellow_1(k9_waybel_0(k3_yellow_1(A!1))))) | (~v1_lattice3(k2_yellow_1(k9_waybel_0(k3_yellow_1(A!1))))) | (~v2_lattice3(k2_yellow_1(k9_waybel_0(k3_yellow_1(A!1))))) | (~v2_orders_2(k2_yellow_1(k9_waybel_0(k3_yellow_1(A!1))))) | (~v3_lattice3(k2_yellow_1(k9_waybel_0(k3_yellow_1(A!1))))) | (~v3_orders_2(k2_yellow_1(k9_waybel_0(k3_yellow_1(A!1))))) | (~v4_orders_2(k2_yellow_1(k9_waybel_0(k3_yellow_1(A!1))))) | (~v3_waybel_3(k2_yellow_1(k9_waybel_0(k3_yellow_1(A!1))))) | ![C: $i, D: $i] : (r5_waybel_1(B!0, k2_yellow_1(k9_waybel_0(k3_yellow_1(A!1)))) | (~(k1_card_1(C) = k1_card_1(D))) | (~r1_waybel22(B!0, C)) | (~r1_waybel22(k2_yellow_1(k9_waybel_0(k3_yellow_1(A!1))), D))))),
% 0.60/0.79 inference(monotonicity,[status(thm)],[207])).
% 0.60/0.79 tff(209,plain,
% 0.60/0.79 (((~l1_orders_2(k2_yellow_1(k9_waybel_0(k3_yellow_1(A!1))))) | (~v1_lattice3(k2_yellow_1(k9_waybel_0(k3_yellow_1(A!1))))) | (~v2_lattice3(k2_yellow_1(k9_waybel_0(k3_yellow_1(A!1))))) | (~v2_orders_2(k2_yellow_1(k9_waybel_0(k3_yellow_1(A!1))))) | (~v3_lattice3(k2_yellow_1(k9_waybel_0(k3_yellow_1(A!1))))) | (~v3_orders_2(k2_yellow_1(k9_waybel_0(k3_yellow_1(A!1))))) | (~v4_orders_2(k2_yellow_1(k9_waybel_0(k3_yellow_1(A!1))))) | (~v3_waybel_3(k2_yellow_1(k9_waybel_0(k3_yellow_1(A!1))))) | ![C: $i, D: $i] : ((~r1_waybel22(k2_yellow_1(k9_waybel_0(k3_yellow_1(A!1))), D)) | (~(k1_card_1(C) = k1_card_1(D))) | r5_waybel_1(B!0, k2_yellow_1(k9_waybel_0(k3_yellow_1(A!1)))) | (~r1_waybel22(B!0, C)))) <=> ((~v2_orders_2(k2_yellow_1(k9_waybel_0(k3_yellow_1(A!1))))) | (~v3_orders_2(k2_yellow_1(k9_waybel_0(k3_yellow_1(A!1))))) | (~v4_orders_2(k2_yellow_1(k9_waybel_0(k3_yellow_1(A!1))))) | (~v2_lattice3(k2_yellow_1(k9_waybel_0(k3_yellow_1(A!1))))) | (~v3_lattice3(k2_yellow_1(k9_waybel_0(k3_yellow_1(A!1))))) | (~v1_lattice3(k2_yellow_1(k9_waybel_0(k3_yellow_1(A!1))))) | (~v3_waybel_3(k2_yellow_1(k9_waybel_0(k3_yellow_1(A!1))))) | (~l1_orders_2(k2_yellow_1(k9_waybel_0(k3_yellow_1(A!1))))) | ![C: $i, D: $i] : (r5_waybel_1(B!0, k2_yellow_1(k9_waybel_0(k3_yellow_1(A!1)))) | (~(k1_card_1(C) = k1_card_1(D))) | (~r1_waybel22(B!0, C)) | (~r1_waybel22(k2_yellow_1(k9_waybel_0(k3_yellow_1(A!1))), D))))),
% 0.60/0.79 inference(transitivity,[status(thm)],[208, 205])).
% 0.60/0.79 tff(210,plain,
% 0.60/0.79 (((~![B: $i] : ((~l1_orders_2(B)) | (~v1_lattice3(B)) | (~v2_lattice3(B)) | (~v2_orders_2(B)) | (~v3_lattice3(B)) | (~v3_orders_2(B)) | (~v4_orders_2(B)) | (~v3_waybel_3(B)) | ![C: $i, D: $i] : ((~r1_waybel22(B, D)) | (~(k1_card_1(C) = k1_card_1(D))) | r5_waybel_1(B!0, B) | (~r1_waybel22(B!0, C))))) | ((~l1_orders_2(k2_yellow_1(k9_waybel_0(k3_yellow_1(A!1))))) | (~v1_lattice3(k2_yellow_1(k9_waybel_0(k3_yellow_1(A!1))))) | (~v2_lattice3(k2_yellow_1(k9_waybel_0(k3_yellow_1(A!1))))) | (~v2_orders_2(k2_yellow_1(k9_waybel_0(k3_yellow_1(A!1))))) | (~v3_lattice3(k2_yellow_1(k9_waybel_0(k3_yellow_1(A!1))))) | (~v3_orders_2(k2_yellow_1(k9_waybel_0(k3_yellow_1(A!1))))) | (~v4_orders_2(k2_yellow_1(k9_waybel_0(k3_yellow_1(A!1))))) | (~v3_waybel_3(k2_yellow_1(k9_waybel_0(k3_yellow_1(A!1))))) | ![C: $i, D: $i] : ((~r1_waybel22(k2_yellow_1(k9_waybel_0(k3_yellow_1(A!1))), D)) | (~(k1_card_1(C) = k1_card_1(D))) | r5_waybel_1(B!0, k2_yellow_1(k9_waybel_0(k3_yellow_1(A!1)))) | (~r1_waybel22(B!0, C))))) <=> ((~![B: $i] : ((~l1_orders_2(B)) | (~v1_lattice3(B)) | (~v2_lattice3(B)) | (~v2_orders_2(B)) | (~v3_lattice3(B)) | (~v3_orders_2(B)) | (~v4_orders_2(B)) | (~v3_waybel_3(B)) | ![C: $i, D: $i] : ((~r1_waybel22(B, D)) | (~(k1_card_1(C) = k1_card_1(D))) | r5_waybel_1(B!0, B) | (~r1_waybel22(B!0, C))))) | ((~v2_orders_2(k2_yellow_1(k9_waybel_0(k3_yellow_1(A!1))))) | (~v3_orders_2(k2_yellow_1(k9_waybel_0(k3_yellow_1(A!1))))) | (~v4_orders_2(k2_yellow_1(k9_waybel_0(k3_yellow_1(A!1))))) | (~v2_lattice3(k2_yellow_1(k9_waybel_0(k3_yellow_1(A!1))))) | (~v3_lattice3(k2_yellow_1(k9_waybel_0(k3_yellow_1(A!1))))) | (~v1_lattice3(k2_yellow_1(k9_waybel_0(k3_yellow_1(A!1))))) | (~v3_waybel_3(k2_yellow_1(k9_waybel_0(k3_yellow_1(A!1))))) | (~l1_orders_2(k2_yellow_1(k9_waybel_0(k3_yellow_1(A!1))))) | ![C: $i, D: $i] : (r5_waybel_1(B!0, k2_yellow_1(k9_waybel_0(k3_yellow_1(A!1)))) | (~(k1_card_1(C) = k1_card_1(D))) | (~r1_waybel22(B!0, C)) | (~r1_waybel22(k2_yellow_1(k9_waybel_0(k3_yellow_1(A!1))), D)))))),
% 0.60/0.79 inference(monotonicity,[status(thm)],[209])).
% 0.60/0.79 tff(211,plain,
% 0.60/0.79 (((~![B: $i] : ((~l1_orders_2(B)) | (~v1_lattice3(B)) | (~v2_lattice3(B)) | (~v2_orders_2(B)) | (~v3_lattice3(B)) | (~v3_orders_2(B)) | (~v4_orders_2(B)) | (~v3_waybel_3(B)) | ![C: $i, D: $i] : ((~r1_waybel22(B, D)) | (~(k1_card_1(C) = k1_card_1(D))) | r5_waybel_1(B!0, B) | (~r1_waybel22(B!0, C))))) | ((~l1_orders_2(k2_yellow_1(k9_waybel_0(k3_yellow_1(A!1))))) | (~v1_lattice3(k2_yellow_1(k9_waybel_0(k3_yellow_1(A!1))))) | (~v2_lattice3(k2_yellow_1(k9_waybel_0(k3_yellow_1(A!1))))) | (~v2_orders_2(k2_yellow_1(k9_waybel_0(k3_yellow_1(A!1))))) | (~v3_lattice3(k2_yellow_1(k9_waybel_0(k3_yellow_1(A!1))))) | (~v3_orders_2(k2_yellow_1(k9_waybel_0(k3_yellow_1(A!1))))) | (~v4_orders_2(k2_yellow_1(k9_waybel_0(k3_yellow_1(A!1))))) | (~v3_waybel_3(k2_yellow_1(k9_waybel_0(k3_yellow_1(A!1))))) | ![C: $i, D: $i] : ((~r1_waybel22(k2_yellow_1(k9_waybel_0(k3_yellow_1(A!1))), D)) | (~(k1_card_1(C) = k1_card_1(D))) | r5_waybel_1(B!0, k2_yellow_1(k9_waybel_0(k3_yellow_1(A!1)))) | (~r1_waybel22(B!0, C))))) <=> ((~![B: $i] : ((~l1_orders_2(B)) | (~v1_lattice3(B)) | (~v2_lattice3(B)) | (~v2_orders_2(B)) | (~v3_lattice3(B)) | (~v3_orders_2(B)) | (~v4_orders_2(B)) | (~v3_waybel_3(B)) | ![C: $i, D: $i] : ((~r1_waybel22(B, D)) | (~(k1_card_1(C) = k1_card_1(D))) | r5_waybel_1(B!0, B) | (~r1_waybel22(B!0, C))))) | (~v2_orders_2(k2_yellow_1(k9_waybel_0(k3_yellow_1(A!1))))) | (~v3_orders_2(k2_yellow_1(k9_waybel_0(k3_yellow_1(A!1))))) | (~v4_orders_2(k2_yellow_1(k9_waybel_0(k3_yellow_1(A!1))))) | (~v2_lattice3(k2_yellow_1(k9_waybel_0(k3_yellow_1(A!1))))) | (~v3_lattice3(k2_yellow_1(k9_waybel_0(k3_yellow_1(A!1))))) | (~v1_lattice3(k2_yellow_1(k9_waybel_0(k3_yellow_1(A!1))))) | (~v3_waybel_3(k2_yellow_1(k9_waybel_0(k3_yellow_1(A!1))))) | (~l1_orders_2(k2_yellow_1(k9_waybel_0(k3_yellow_1(A!1))))) | ![C: $i, D: $i] : (r5_waybel_1(B!0, k2_yellow_1(k9_waybel_0(k3_yellow_1(A!1)))) | (~(k1_card_1(C) = k1_card_1(D))) | (~r1_waybel22(B!0, C)) | (~r1_waybel22(k2_yellow_1(k9_waybel_0(k3_yellow_1(A!1))), D))))),
% 0.60/0.80 inference(transitivity,[status(thm)],[210, 204])).
% 0.60/0.80 tff(212,plain,
% 0.60/0.80 ((~![B: $i] : ((~l1_orders_2(B)) | (~v1_lattice3(B)) | (~v2_lattice3(B)) | (~v2_orders_2(B)) | (~v3_lattice3(B)) | (~v3_orders_2(B)) | (~v4_orders_2(B)) | (~v3_waybel_3(B)) | ![C: $i, D: $i] : ((~r1_waybel22(B, D)) | (~(k1_card_1(C) = k1_card_1(D))) | r5_waybel_1(B!0, B) | (~r1_waybel22(B!0, C))))) | ((~l1_orders_2(k2_yellow_1(k9_waybel_0(k3_yellow_1(A!1))))) | (~v1_lattice3(k2_yellow_1(k9_waybel_0(k3_yellow_1(A!1))))) | (~v2_lattice3(k2_yellow_1(k9_waybel_0(k3_yellow_1(A!1))))) | (~v2_orders_2(k2_yellow_1(k9_waybel_0(k3_yellow_1(A!1))))) | (~v3_lattice3(k2_yellow_1(k9_waybel_0(k3_yellow_1(A!1))))) | (~v3_orders_2(k2_yellow_1(k9_waybel_0(k3_yellow_1(A!1))))) | (~v4_orders_2(k2_yellow_1(k9_waybel_0(k3_yellow_1(A!1))))) | (~v3_waybel_3(k2_yellow_1(k9_waybel_0(k3_yellow_1(A!1))))) | ![C: $i, D: $i] : ((~r1_waybel22(k2_yellow_1(k9_waybel_0(k3_yellow_1(A!1))), D)) | (~(k1_card_1(C) = k1_card_1(D))) | r5_waybel_1(B!0, k2_yellow_1(k9_waybel_0(k3_yellow_1(A!1)))) | (~r1_waybel22(B!0, C))))),
% 0.60/0.80 inference(quant_inst,[status(thm)],[])).
% 0.60/0.80 tff(213,plain,
% 0.60/0.80 ((~![B: $i] : ((~l1_orders_2(B)) | (~v1_lattice3(B)) | (~v2_lattice3(B)) | (~v2_orders_2(B)) | (~v3_lattice3(B)) | (~v3_orders_2(B)) | (~v4_orders_2(B)) | (~v3_waybel_3(B)) | ![C: $i, D: $i] : ((~r1_waybel22(B, D)) | (~(k1_card_1(C) = k1_card_1(D))) | r5_waybel_1(B!0, B) | (~r1_waybel22(B!0, C))))) | (~v2_orders_2(k2_yellow_1(k9_waybel_0(k3_yellow_1(A!1))))) | (~v3_orders_2(k2_yellow_1(k9_waybel_0(k3_yellow_1(A!1))))) | (~v4_orders_2(k2_yellow_1(k9_waybel_0(k3_yellow_1(A!1))))) | (~v2_lattice3(k2_yellow_1(k9_waybel_0(k3_yellow_1(A!1))))) | (~v3_lattice3(k2_yellow_1(k9_waybel_0(k3_yellow_1(A!1))))) | (~v1_lattice3(k2_yellow_1(k9_waybel_0(k3_yellow_1(A!1))))) | (~v3_waybel_3(k2_yellow_1(k9_waybel_0(k3_yellow_1(A!1))))) | (~l1_orders_2(k2_yellow_1(k9_waybel_0(k3_yellow_1(A!1))))) | ![C: $i, D: $i] : (r5_waybel_1(B!0, k2_yellow_1(k9_waybel_0(k3_yellow_1(A!1)))) | (~(k1_card_1(C) = k1_card_1(D))) | (~r1_waybel22(B!0, C)) | (~r1_waybel22(k2_yellow_1(k9_waybel_0(k3_yellow_1(A!1))), D)))),
% 0.60/0.80 inference(modus_ponens,[status(thm)],[212, 211])).
% 0.60/0.80 tff(214,plain,
% 0.60/0.80 (![C: $i, D: $i] : (r5_waybel_1(B!0, k2_yellow_1(k9_waybel_0(k3_yellow_1(A!1)))) | (~(k1_card_1(C) = k1_card_1(D))) | (~r1_waybel22(B!0, C)) | (~r1_waybel22(k2_yellow_1(k9_waybel_0(k3_yellow_1(A!1))), D)))),
% 0.60/0.80 inference(unit_resolution,[status(thm)],[213, 203, 168, 166, 164, 162, 160, 140, 138, 61])).
% 0.60/0.80 tff(215,plain,
% 0.60/0.80 (~r5_waybel_1(B!0, k2_yellow_1(k9_waybel_0(k3_yellow_1(A!1))))),
% 0.60/0.80 inference(or_elim,[status(thm)],[32])).
% 0.60/0.80 tff(216,plain,
% 0.60/0.80 (r1_waybel22(B!0, C!2)),
% 0.60/0.80 inference(and_elim,[status(thm)],[33])).
% 0.60/0.80 tff(217,plain,
% 0.60/0.80 (((~![C: $i, D: $i] : (r5_waybel_1(B!0, k2_yellow_1(k9_waybel_0(k3_yellow_1(A!1)))) | (~(k1_card_1(C) = k1_card_1(D))) | (~r1_waybel22(B!0, C)) | (~r1_waybel22(k2_yellow_1(k9_waybel_0(k3_yellow_1(A!1))), D)))) | (r5_waybel_1(B!0, k2_yellow_1(k9_waybel_0(k3_yellow_1(A!1)))) | (~(k1_card_1(C!2) = k1_card_1(a_1_0_waybel22(A!1)))) | (~r1_waybel22(B!0, C!2)) | (~r1_waybel22(k2_yellow_1(k9_waybel_0(k3_yellow_1(A!1))), a_1_0_waybel22(A!1))))) <=> ((~![C: $i, D: $i] : (r5_waybel_1(B!0, k2_yellow_1(k9_waybel_0(k3_yellow_1(A!1)))) | (~(k1_card_1(C) = k1_card_1(D))) | (~r1_waybel22(B!0, C)) | (~r1_waybel22(k2_yellow_1(k9_waybel_0(k3_yellow_1(A!1))), D)))) | r5_waybel_1(B!0, k2_yellow_1(k9_waybel_0(k3_yellow_1(A!1)))) | (~(k1_card_1(C!2) = k1_card_1(a_1_0_waybel22(A!1)))) | (~r1_waybel22(B!0, C!2)) | (~r1_waybel22(k2_yellow_1(k9_waybel_0(k3_yellow_1(A!1))), a_1_0_waybel22(A!1))))),
% 0.60/0.80 inference(rewrite,[status(thm)],[])).
% 0.60/0.80 tff(218,plain,
% 0.60/0.80 ((~![C: $i, D: $i] : (r5_waybel_1(B!0, k2_yellow_1(k9_waybel_0(k3_yellow_1(A!1)))) | (~(k1_card_1(C) = k1_card_1(D))) | (~r1_waybel22(B!0, C)) | (~r1_waybel22(k2_yellow_1(k9_waybel_0(k3_yellow_1(A!1))), D)))) | (r5_waybel_1(B!0, k2_yellow_1(k9_waybel_0(k3_yellow_1(A!1)))) | (~(k1_card_1(C!2) = k1_card_1(a_1_0_waybel22(A!1)))) | (~r1_waybel22(B!0, C!2)) | (~r1_waybel22(k2_yellow_1(k9_waybel_0(k3_yellow_1(A!1))), a_1_0_waybel22(A!1))))),
% 0.60/0.80 inference(quant_inst,[status(thm)],[])).
% 0.60/0.80 tff(219,plain,
% 0.60/0.80 ((~![C: $i, D: $i] : (r5_waybel_1(B!0, k2_yellow_1(k9_waybel_0(k3_yellow_1(A!1)))) | (~(k1_card_1(C) = k1_card_1(D))) | (~r1_waybel22(B!0, C)) | (~r1_waybel22(k2_yellow_1(k9_waybel_0(k3_yellow_1(A!1))), D)))) | r5_waybel_1(B!0, k2_yellow_1(k9_waybel_0(k3_yellow_1(A!1)))) | (~(k1_card_1(C!2) = k1_card_1(a_1_0_waybel22(A!1)))) | (~r1_waybel22(B!0, C!2)) | (~r1_waybel22(k2_yellow_1(k9_waybel_0(k3_yellow_1(A!1))), a_1_0_waybel22(A!1)))),
% 0.60/0.80 inference(modus_ponens,[status(thm)],[218, 217])).
% 0.60/0.80 tff(220,plain,
% 0.60/0.80 ((~(k1_card_1(C!2) = k1_card_1(a_1_0_waybel22(A!1)))) | (~r1_waybel22(k2_yellow_1(k9_waybel_0(k3_yellow_1(A!1))), a_1_0_waybel22(A!1)))),
% 0.60/0.80 inference(unit_resolution,[status(thm)],[219, 216, 215, 214])).
% 0.60/0.80 tff(221,plain,
% 0.60/0.80 ($false),
% 0.60/0.80 inference(unit_resolution,[status(thm)],[220, 47, 35])).
% 0.60/0.80 % SZS output end Proof
% 0.60/0.81 % E exiting
%------------------------------------------------------------------------------