TSTP Solution File: LAT351+1 by Z3---4.8.9.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Z3---4.8.9.0
% Problem : LAT351+1 : TPTP v8.1.0. Released v3.4.0.
% Transfm : none
% Format : tptp
% Command : z3_tptp -proof -model -t:%d -file:%s
% Computer : n009.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 Sep 17 18:33:21 EDT 2022
% Result : Theorem 0.75s 0.73s
% Output : Proof 0.78s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13 % Problem : LAT351+1 : TPTP v8.1.0. Released v3.4.0.
% 0.03/0.13 % Command : z3_tptp -proof -model -t:%d -file:%s
% 0.13/0.35 % Computer : n009.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Thu Sep 1 15:31:05 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.13/0.35 Z3tptp [4.8.9.0] (c) 2006-20**. Microsoft Corp.
% 0.13/0.35 Usage: tptp [options] [-file:]file
% 0.13/0.35 -h, -? prints this message.
% 0.13/0.35 -smt2 print SMT-LIB2 benchmark.
% 0.13/0.35 -m, -model generate model.
% 0.13/0.35 -p, -proof generate proof.
% 0.13/0.35 -c, -core generate unsat core of named formulas.
% 0.13/0.35 -st, -statistics display statistics.
% 0.13/0.35 -t:timeout set timeout (in second).
% 0.13/0.35 -smt2status display status in smt2 format instead of SZS.
% 0.13/0.35 -check_status check the status produced by Z3 against annotation in benchmark.
% 0.13/0.35 -<param>:<value> configuration parameter and value.
% 0.13/0.35 -o:<output-file> file to place output in.
% 0.75/0.73 % SZS status Theorem
% 0.75/0.73 % SZS output start Proof
% 0.75/0.73 tff(k1_card_1_type, type, (
% 0.75/0.73 k1_card_1: $i > $i)).
% 0.75/0.73 tff(a_1_0_waybel22_type, type, (
% 0.75/0.73 a_1_0_waybel22: $i > $i)).
% 0.75/0.73 tff(tptp_fun_A_1_type, type, (
% 0.75/0.73 tptp_fun_A_1: $i)).
% 0.75/0.73 tff(tptp_fun_C_2_type, type, (
% 0.75/0.73 tptp_fun_C_2: $i)).
% 0.75/0.73 tff(k1_waybel22_type, type, (
% 0.75/0.73 k1_waybel22: $i > $i)).
% 0.75/0.73 tff(r1_waybel22_type, type, (
% 0.75/0.73 r1_waybel22: ( $i * $i ) > $o)).
% 0.75/0.73 tff(tptp_fun_B_0_type, type, (
% 0.75/0.73 tptp_fun_B_0: $i)).
% 0.75/0.73 tff(r5_waybel_1_type, type, (
% 0.75/0.73 r5_waybel_1: ( $i * $i ) > $o)).
% 0.75/0.73 tff(k2_yellow_1_type, type, (
% 0.75/0.73 k2_yellow_1: $i > $i)).
% 0.75/0.73 tff(k9_waybel_0_type, type, (
% 0.75/0.73 k9_waybel_0: $i > $i)).
% 0.75/0.73 tff(k3_yellow_1_type, type, (
% 0.75/0.73 k3_yellow_1: $i > $i)).
% 0.75/0.73 tff(l1_orders_2_type, type, (
% 0.75/0.73 l1_orders_2: $i > $o)).
% 0.75/0.73 tff(v3_waybel_3_type, type, (
% 0.75/0.73 v3_waybel_3: $i > $o)).
% 0.75/0.73 tff(v3_lattice3_type, type, (
% 0.75/0.73 v3_lattice3: $i > $o)).
% 0.75/0.73 tff(v2_lattice3_type, type, (
% 0.75/0.73 v2_lattice3: $i > $o)).
% 0.75/0.73 tff(v1_lattice3_type, type, (
% 0.75/0.73 v1_lattice3: $i > $o)).
% 0.75/0.73 tff(v4_orders_2_type, type, (
% 0.75/0.73 v4_orders_2: $i > $o)).
% 0.75/0.73 tff(v3_orders_2_type, type, (
% 0.75/0.73 v3_orders_2: $i > $o)).
% 0.75/0.73 tff(v2_orders_2_type, type, (
% 0.75/0.73 v2_orders_2: $i > $o)).
% 0.75/0.73 tff(v1_orders_2_type, type, (
% 0.75/0.73 v1_orders_2: $i > $o)).
% 0.75/0.73 tff(v3_yellow_0_type, type, (
% 0.75/0.73 v3_yellow_0: $i > $o)).
% 0.75/0.73 tff(v2_yellow_0_type, type, (
% 0.75/0.73 v2_yellow_0: $i > $o)).
% 0.75/0.73 tff(v25_waybel_0_type, type, (
% 0.75/0.73 v25_waybel_0: $i > $o)).
% 0.75/0.73 tff(v24_waybel_0_type, type, (
% 0.75/0.73 v24_waybel_0: $i > $o)).
% 0.75/0.73 tff(v1_yellow_0_type, type, (
% 0.75/0.73 v1_yellow_0: $i > $o)).
% 0.75/0.73 tff(v3_struct_0_type, type, (
% 0.75/0.73 v3_struct_0: $i > $o)).
% 0.75/0.73 tff(v2_waybel_8_type, type, (
% 0.75/0.73 v2_waybel_8: $i > $o)).
% 0.75/0.73 tff(v1_waybel_8_type, type, (
% 0.75/0.73 v1_waybel_8: $i > $o)).
% 0.75/0.73 tff(v2_waybel_3_type, type, (
% 0.75/0.73 v2_waybel_3: $i > $o)).
% 0.75/0.73 tff(v11_waybel_1_type, type, (
% 0.75/0.73 v11_waybel_1: $i > $o)).
% 0.75/0.73 tff(v10_waybel_1_type, type, (
% 0.75/0.73 v10_waybel_1: $i > $o)).
% 0.75/0.73 tff(v9_waybel_1_type, type, (
% 0.75/0.73 v9_waybel_1: $i > $o)).
% 0.75/0.73 tff(v2_waybel_1_type, type, (
% 0.75/0.73 v2_waybel_1: $i > $o)).
% 0.75/0.73 tff(1,plain,
% 0.75/0.73 (^[A: $i] : refl((k1_waybel22(A) = a_1_0_waybel22(A)) <=> (k1_waybel22(A) = a_1_0_waybel22(A)))),
% 0.75/0.73 inference(bind,[status(th)],[])).
% 0.75/0.73 tff(2,plain,
% 0.75/0.73 (![A: $i] : (k1_waybel22(A) = a_1_0_waybel22(A)) <=> ![A: $i] : (k1_waybel22(A) = a_1_0_waybel22(A))),
% 0.75/0.73 inference(quant_intro,[status(thm)],[1])).
% 0.75/0.73 tff(3,plain,
% 0.75/0.73 (![A: $i] : (k1_waybel22(A) = a_1_0_waybel22(A)) <=> ![A: $i] : (k1_waybel22(A) = a_1_0_waybel22(A))),
% 0.75/0.73 inference(rewrite,[status(thm)],[])).
% 0.75/0.73 tff(4,axiom,(![A: $i] : (k1_waybel22(A) = a_1_0_waybel22(A))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','d2_waybel22')).
% 0.75/0.73 tff(5,plain,
% 0.75/0.73 (![A: $i] : (k1_waybel22(A) = a_1_0_waybel22(A))),
% 0.75/0.73 inference(modus_ponens,[status(thm)],[4, 3])).
% 0.75/0.73 tff(6,plain,(
% 0.75/0.73 ![A: $i] : (k1_waybel22(A) = a_1_0_waybel22(A))),
% 0.75/0.73 inference(skolemize,[status(sab)],[5])).
% 0.75/0.73 tff(7,plain,
% 0.75/0.73 (![A: $i] : (k1_waybel22(A) = a_1_0_waybel22(A))),
% 0.75/0.73 inference(modus_ponens,[status(thm)],[6, 2])).
% 0.75/0.73 tff(8,plain,
% 0.75/0.73 ((~![A: $i] : (k1_waybel22(A) = a_1_0_waybel22(A))) | (k1_waybel22(A!1) = a_1_0_waybel22(A!1))),
% 0.75/0.73 inference(quant_inst,[status(thm)],[])).
% 0.75/0.73 tff(9,plain,
% 0.75/0.73 (k1_waybel22(A!1) = a_1_0_waybel22(A!1)),
% 0.75/0.73 inference(unit_resolution,[status(thm)],[8, 7])).
% 0.75/0.73 tff(10,plain,
% 0.75/0.73 (a_1_0_waybel22(A!1) = k1_waybel22(A!1)),
% 0.75/0.73 inference(symmetry,[status(thm)],[9])).
% 0.75/0.73 tff(11,plain,
% 0.75/0.73 (k1_card_1(a_1_0_waybel22(A!1)) = k1_card_1(k1_waybel22(A!1))),
% 0.75/0.73 inference(monotonicity,[status(thm)],[10])).
% 0.75/0.73 tff(12,plain,
% 0.75/0.73 (k1_card_1(k1_waybel22(A!1)) = k1_card_1(a_1_0_waybel22(A!1))),
% 0.75/0.73 inference(symmetry,[status(thm)],[11])).
% 0.75/0.73 tff(13,plain,
% 0.75/0.73 (^[A: $i] : refl((k1_card_1(k1_waybel22(A)) = k1_card_1(A)) <=> (k1_card_1(k1_waybel22(A)) = k1_card_1(A)))),
% 0.75/0.73 inference(bind,[status(th)],[])).
% 0.75/0.73 tff(14,plain,
% 0.75/0.73 (![A: $i] : (k1_card_1(k1_waybel22(A)) = k1_card_1(A)) <=> ![A: $i] : (k1_card_1(k1_waybel22(A)) = k1_card_1(A))),
% 0.75/0.73 inference(quant_intro,[status(thm)],[13])).
% 0.75/0.73 tff(15,plain,
% 0.75/0.73 (![A: $i] : (k1_card_1(k1_waybel22(A)) = k1_card_1(A)) <=> ![A: $i] : (k1_card_1(k1_waybel22(A)) = k1_card_1(A))),
% 0.75/0.73 inference(rewrite,[status(thm)],[])).
% 0.75/0.73 tff(16,axiom,(![A: $i] : (k1_card_1(k1_waybel22(A)) = k1_card_1(A))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','t10_waybel22')).
% 0.75/0.73 tff(17,plain,
% 0.75/0.73 (![A: $i] : (k1_card_1(k1_waybel22(A)) = k1_card_1(A))),
% 0.75/0.73 inference(modus_ponens,[status(thm)],[16, 15])).
% 0.75/0.73 tff(18,plain,(
% 0.75/0.73 ![A: $i] : (k1_card_1(k1_waybel22(A)) = k1_card_1(A))),
% 0.75/0.73 inference(skolemize,[status(sab)],[17])).
% 0.75/0.73 tff(19,plain,
% 0.75/0.73 (![A: $i] : (k1_card_1(k1_waybel22(A)) = k1_card_1(A))),
% 0.75/0.73 inference(modus_ponens,[status(thm)],[18, 14])).
% 0.75/0.73 tff(20,plain,
% 0.75/0.73 ((~![A: $i] : (k1_card_1(k1_waybel22(A)) = k1_card_1(A))) | (k1_card_1(k1_waybel22(A!1)) = k1_card_1(A!1))),
% 0.75/0.73 inference(quant_inst,[status(thm)],[])).
% 0.75/0.73 tff(21,plain,
% 0.75/0.73 (k1_card_1(k1_waybel22(A!1)) = k1_card_1(A!1)),
% 0.75/0.73 inference(unit_resolution,[status(thm)],[20, 19])).
% 0.75/0.73 tff(22,plain,
% 0.75/0.73 (k1_card_1(A!1) = k1_card_1(k1_waybel22(A!1))),
% 0.75/0.73 inference(symmetry,[status(thm)],[21])).
% 0.75/0.73 tff(23,plain,
% 0.75/0.73 (((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)))))))),
% 0.75/0.73 inference(rewrite,[status(thm)],[])).
% 0.75/0.73 tff(24,plain,
% 0.75/0.73 ((~(~(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)))) <=> (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))),
% 0.75/0.73 inference(rewrite,[status(thm)],[])).
% 0.75/0.73 tff(25,plain,
% 0.75/0.73 (((~(~(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)))))))),
% 0.75/0.73 inference(monotonicity,[status(thm)],[24])).
% 0.75/0.73 tff(26,plain,
% 0.75/0.73 (((~(~(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)))))))),
% 0.75/0.73 inference(transitivity,[status(thm)],[25, 23])).
% 0.75/0.73 tff(27,plain,
% 0.75/0.73 ((~![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)))))))),
% 0.75/0.73 inference(rewrite,[status(thm)],[])).
% 0.75/0.73 tff(28,plain,
% 0.75/0.73 ((~![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)))))))),
% 0.75/0.73 inference(rewrite,[status(thm)],[])).
% 0.75/0.73 tff(29,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/sandbox2/benchmark/theBenchmark.p','t18_waybel22')).
% 0.75/0.73 tff(30,plain,
% 0.75/0.73 (~![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))))))),
% 0.75/0.73 inference(modus_ponens,[status(thm)],[29, 28])).
% 0.75/0.73 tff(31,plain,
% 0.75/0.73 (~![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))))))),
% 0.75/0.73 inference(modus_ponens,[status(thm)],[30, 27])).
% 0.75/0.73 tff(32,plain,
% 0.75/0.73 (~![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))))))),
% 0.75/0.73 inference(modus_ponens,[status(thm)],[31, 27])).
% 0.75/0.73 tff(33,plain,
% 0.75/0.73 (~![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))))))),
% 0.75/0.73 inference(modus_ponens,[status(thm)],[32, 27])).
% 0.75/0.73 tff(34,plain,
% 0.75/0.73 (~![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))))))),
% 0.75/0.73 inference(modus_ponens,[status(thm)],[33, 27])).
% 0.75/0.73 tff(35,plain,
% 0.75/0.73 (~![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))))))),
% 0.75/0.73 inference(modus_ponens,[status(thm)],[34, 27])).
% 0.75/0.73 tff(36,plain,
% 0.75/0.73 (~![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))))))),
% 0.75/0.73 inference(modus_ponens,[status(thm)],[35, 27])).
% 0.75/0.73 tff(37,plain,
% 0.75/0.73 (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))))))),
% 0.75/0.73 inference(modus_ponens,[status(thm)],[36, 26])).
% 0.75/0.73 tff(38,plain,
% 0.75/0.73 (~((~(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)))))),
% 0.75/0.73 inference(and_elim,[status(thm)],[37])).
% 0.75/0.73 tff(39,plain,
% 0.75/0.73 (r1_waybel22(B!0, C!2) & (k1_card_1(C!2) = k1_card_1(A!1))),
% 0.75/0.73 inference(or_elim,[status(thm)],[38])).
% 0.75/0.73 tff(40,plain,
% 0.75/0.73 (k1_card_1(C!2) = k1_card_1(A!1)),
% 0.75/0.73 inference(and_elim,[status(thm)],[39])).
% 0.75/0.73 tff(41,plain,
% 0.75/0.73 (k1_card_1(C!2) = k1_card_1(a_1_0_waybel22(A!1))),
% 0.75/0.73 inference(transitivity,[status(thm)],[40, 22, 12])).
% 0.75/0.73 tff(42,plain,
% 0.75/0.73 (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))),
% 0.75/0.73 inference(monotonicity,[status(thm)],[10])).
% 0.75/0.73 tff(43,plain,
% 0.75/0.73 (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))),
% 0.75/0.73 inference(symmetry,[status(thm)],[42])).
% 0.75/0.73 tff(44,plain,
% 0.75/0.73 (^[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)))),
% 0.75/0.73 inference(bind,[status(th)],[])).
% 0.75/0.73 tff(45,plain,
% 0.75/0.73 (![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))),
% 0.75/0.73 inference(quant_intro,[status(thm)],[44])).
% 0.75/0.73 tff(46,plain,
% 0.75/0.73 (![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))),
% 0.75/0.73 inference(rewrite,[status(thm)],[])).
% 0.75/0.73 tff(47,axiom,(![A: $i] : r1_waybel22(k2_yellow_1(k9_waybel_0(k3_yellow_1(A))), k1_waybel22(A))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','t16_waybel22')).
% 0.75/0.73 tff(48,plain,
% 0.75/0.73 (![A: $i] : r1_waybel22(k2_yellow_1(k9_waybel_0(k3_yellow_1(A))), k1_waybel22(A))),
% 0.75/0.73 inference(modus_ponens,[status(thm)],[47, 46])).
% 0.75/0.73 tff(49,plain,(
% 0.75/0.73 ![A: $i] : r1_waybel22(k2_yellow_1(k9_waybel_0(k3_yellow_1(A))), k1_waybel22(A))),
% 0.75/0.73 inference(skolemize,[status(sab)],[48])).
% 0.75/0.73 tff(50,plain,
% 0.75/0.73 (![A: $i] : r1_waybel22(k2_yellow_1(k9_waybel_0(k3_yellow_1(A))), k1_waybel22(A))),
% 0.75/0.73 inference(modus_ponens,[status(thm)],[49, 45])).
% 0.75/0.73 tff(51,plain,
% 0.75/0.73 ((~![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))),
% 0.75/0.73 inference(quant_inst,[status(thm)],[])).
% 0.75/0.73 tff(52,plain,
% 0.75/0.73 (r1_waybel22(k2_yellow_1(k9_waybel_0(k3_yellow_1(A!1))), k1_waybel22(A!1))),
% 0.75/0.73 inference(unit_resolution,[status(thm)],[51, 50])).
% 0.75/0.73 tff(53,plain,
% 0.75/0.73 (r1_waybel22(k2_yellow_1(k9_waybel_0(k3_yellow_1(A!1))), a_1_0_waybel22(A!1))),
% 0.75/0.73 inference(modus_ponens,[status(thm)],[52, 43])).
% 0.75/0.73 tff(54,plain,
% 0.75/0.73 (^[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))))))),
% 0.75/0.73 inference(bind,[status(th)],[])).
% 0.75/0.73 tff(55,plain,
% 0.75/0.73 (![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)))))),
% 0.75/0.73 inference(quant_intro,[status(thm)],[54])).
% 0.75/0.73 tff(56,plain,
% 0.75/0.73 (^[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))))))),
% 0.75/0.73 inference(bind,[status(th)],[])).
% 0.75/0.73 tff(57,plain,
% 0.75/0.73 (![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)))))),
% 0.75/0.73 inference(quant_intro,[status(thm)],[56])).
% 0.75/0.73 tff(58,plain,
% 0.75/0.73 (![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)))),
% 0.75/0.73 inference(rewrite,[status(thm)],[])).
% 0.75/0.73 tff(59,axiom,(![A: $i] : (v1_orders_2(k2_yellow_1(A)) & l1_orders_2(k2_yellow_1(A)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','dt_k2_yellow_1')).
% 0.75/0.73 tff(60,plain,
% 0.75/0.73 (![A: $i] : (v1_orders_2(k2_yellow_1(A)) & l1_orders_2(k2_yellow_1(A)))),
% 0.75/0.73 inference(modus_ponens,[status(thm)],[59, 58])).
% 0.75/0.73 tff(61,plain,(
% 0.75/0.73 ![A: $i] : (v1_orders_2(k2_yellow_1(A)) & l1_orders_2(k2_yellow_1(A)))),
% 0.75/0.73 inference(skolemize,[status(sab)],[60])).
% 0.75/0.73 tff(62,plain,
% 0.75/0.73 (![A: $i] : (~((~v1_orders_2(k2_yellow_1(A))) | (~l1_orders_2(k2_yellow_1(A)))))),
% 0.75/0.73 inference(modus_ponens,[status(thm)],[61, 57])).
% 0.75/0.73 tff(63,plain,
% 0.75/0.73 (![A: $i] : (~((~v1_orders_2(k2_yellow_1(A))) | (~l1_orders_2(k2_yellow_1(A)))))),
% 0.75/0.73 inference(modus_ponens,[status(thm)],[62, 55])).
% 0.75/0.73 tff(64,plain,
% 0.75/0.73 ((~![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)))))))),
% 0.75/0.73 inference(quant_inst,[status(thm)],[])).
% 0.75/0.73 tff(65,plain,
% 0.75/0.73 (~((~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))))))),
% 0.75/0.73 inference(unit_resolution,[status(thm)],[64, 63])).
% 0.75/0.73 tff(66,plain,
% 0.75/0.73 (((~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))))),
% 0.75/0.73 inference(tautology,[status(thm)],[])).
% 0.75/0.73 tff(67,plain,
% 0.75/0.73 (l1_orders_2(k2_yellow_1(k9_waybel_0(k3_yellow_1(A!1))))),
% 0.75/0.73 inference(unit_resolution,[status(thm)],[66, 65])).
% 0.75/0.73 tff(68,plain,
% 0.75/0.73 (^[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))))))),
% 0.75/0.73 inference(bind,[status(th)],[])).
% 0.75/0.73 tff(69,plain,
% 0.75/0.73 (![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)))))),
% 0.75/0.73 inference(quant_intro,[status(thm)],[68])).
% 0.75/0.73 tff(70,plain,
% 0.75/0.73 (^[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))))))),
% 0.75/0.73 inference(bind,[status(th)],[])).
% 0.75/0.73 tff(71,plain,
% 0.75/0.73 (![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)))))),
% 0.75/0.73 inference(quant_intro,[status(thm)],[70])).
% 0.75/0.73 tff(72,plain,
% 0.75/0.73 (![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)))),
% 0.75/0.73 inference(rewrite,[status(thm)],[])).
% 0.75/0.73 tff(73,plain,
% 0.75/0.73 (^[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)))))),
% 0.75/0.74 inference(bind,[status(th)],[])).
% 0.75/0.74 tff(74,plain,
% 0.75/0.74 (![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)))),
% 0.75/0.74 inference(quant_intro,[status(thm)],[73])).
% 0.75/0.74 tff(75,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/sandbox2/benchmark/theBenchmark.p','fc14_waybel_8')).
% 0.75/0.74 tff(76,plain,
% 0.75/0.74 (![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)))),
% 0.75/0.74 inference(modus_ponens,[status(thm)],[75, 74])).
% 0.75/0.74 tff(77,plain,
% 0.75/0.74 (![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)))),
% 0.75/0.74 inference(modus_ponens,[status(thm)],[76, 72])).
% 0.75/0.74 tff(78,plain,(
% 0.75/0.74 ![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)))),
% 0.75/0.74 inference(skolemize,[status(sab)],[77])).
% 0.75/0.74 tff(79,plain,
% 0.75/0.74 (![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)))))),
% 0.75/0.74 inference(modus_ponens,[status(thm)],[78, 71])).
% 0.75/0.74 tff(80,plain,
% 0.75/0.74 (![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)))))),
% 0.75/0.74 inference(modus_ponens,[status(thm)],[79, 69])).
% 0.75/0.74 tff(81,plain,
% 0.75/0.74 (((~![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)))))) | (~((~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))))))),
% 0.75/0.74 inference(rewrite,[status(thm)],[])).
% 0.75/0.74 tff(82,plain,
% 0.75/0.74 ((~(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)))))),
% 0.75/0.74 inference(rewrite,[status(thm)],[])).
% 0.75/0.74 tff(83,plain,
% 0.75/0.74 (((~![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)))))) | (~(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))))))),
% 0.75/0.74 inference(monotonicity,[status(thm)],[82])).
% 0.75/0.74 tff(84,plain,
% 0.75/0.74 (((~![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)))))) | (~(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))))))),
% 0.75/0.74 inference(transitivity,[status(thm)],[83, 81])).
% 0.75/0.74 tff(85,plain,
% 0.75/0.74 ((~![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)))))) | (~(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)))))),
% 0.75/0.74 inference(quant_inst,[status(thm)],[])).
% 0.75/0.74 tff(86,plain,
% 0.75/0.74 ((~![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)))))) | (~((~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)))))),
% 0.75/0.74 inference(modus_ponens,[status(thm)],[85, 84])).
% 0.75/0.74 tff(87,plain,
% 0.75/0.74 (~((~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))))),
% 0.75/0.74 inference(unit_resolution,[status(thm)],[86, 80])).
% 0.75/0.74 tff(88,plain,
% 0.75/0.74 (((~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))),
% 0.75/0.74 inference(tautology,[status(thm)],[])).
% 0.75/0.74 tff(89,plain,
% 0.75/0.74 (v2_lattice3(k3_yellow_1(A!1))),
% 0.75/0.74 inference(unit_resolution,[status(thm)],[88, 87])).
% 0.75/0.74 tff(90,plain,
% 0.75/0.74 (((~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)))),
% 0.75/0.74 inference(tautology,[status(thm)],[])).
% 0.75/0.74 tff(91,plain,
% 0.75/0.74 (~v3_struct_0(k3_yellow_1(A!1))),
% 0.75/0.74 inference(unit_resolution,[status(thm)],[90, 87])).
% 0.75/0.74 tff(92,plain,
% 0.75/0.74 (((~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))),
% 0.75/0.75 inference(tautology,[status(thm)],[])).
% 0.75/0.75 tff(93,plain,
% 0.75/0.75 (v2_yellow_0(k3_yellow_1(A!1))),
% 0.75/0.75 inference(unit_resolution,[status(thm)],[92, 87])).
% 0.75/0.75 tff(94,plain,
% 0.75/0.75 (((~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))),
% 0.75/0.75 inference(tautology,[status(thm)],[])).
% 0.75/0.75 tff(95,plain,
% 0.75/0.75 (v4_orders_2(k3_yellow_1(A!1))),
% 0.75/0.75 inference(unit_resolution,[status(thm)],[94, 87])).
% 0.75/0.75 tff(96,plain,
% 0.75/0.75 (((~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))),
% 0.75/0.75 inference(tautology,[status(thm)],[])).
% 0.75/0.75 tff(97,plain,
% 0.75/0.75 (v3_orders_2(k3_yellow_1(A!1))),
% 0.75/0.75 inference(unit_resolution,[status(thm)],[96, 87])).
% 0.75/0.75 tff(98,plain,
% 0.75/0.75 (((~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))),
% 0.75/0.75 inference(tautology,[status(thm)],[])).
% 0.75/0.75 tff(99,plain,
% 0.75/0.75 (v2_orders_2(k3_yellow_1(A!1))),
% 0.75/0.75 inference(unit_resolution,[status(thm)],[98, 87])).
% 0.75/0.75 tff(100,plain,
% 0.75/0.75 (^[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))))))),
% 0.75/0.75 inference(bind,[status(th)],[])).
% 0.75/0.75 tff(101,plain,
% 0.75/0.75 (![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)))))),
% 0.75/0.75 inference(quant_intro,[status(thm)],[100])).
% 0.75/0.75 tff(102,plain,
% 0.75/0.75 (^[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))))))),
% 0.75/0.75 inference(bind,[status(th)],[])).
% 0.75/0.75 tff(103,plain,
% 0.75/0.75 (![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)))))),
% 0.75/0.75 inference(quant_intro,[status(thm)],[102])).
% 0.75/0.75 tff(104,plain,
% 0.75/0.75 (![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)))),
% 0.75/0.75 inference(rewrite,[status(thm)],[])).
% 0.75/0.75 tff(105,axiom,(![A: $i] : (v1_orders_2(k3_yellow_1(A)) & l1_orders_2(k3_yellow_1(A)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','dt_k3_yellow_1')).
% 0.75/0.75 tff(106,plain,
% 0.75/0.75 (![A: $i] : (v1_orders_2(k3_yellow_1(A)) & l1_orders_2(k3_yellow_1(A)))),
% 0.75/0.75 inference(modus_ponens,[status(thm)],[105, 104])).
% 0.75/0.75 tff(107,plain,(
% 0.75/0.75 ![A: $i] : (v1_orders_2(k3_yellow_1(A)) & l1_orders_2(k3_yellow_1(A)))),
% 0.75/0.75 inference(skolemize,[status(sab)],[106])).
% 0.75/0.75 tff(108,plain,
% 0.75/0.75 (![A: $i] : (~((~v1_orders_2(k3_yellow_1(A))) | (~l1_orders_2(k3_yellow_1(A)))))),
% 0.75/0.75 inference(modus_ponens,[status(thm)],[107, 103])).
% 0.75/0.75 tff(109,plain,
% 0.75/0.75 (![A: $i] : (~((~v1_orders_2(k3_yellow_1(A))) | (~l1_orders_2(k3_yellow_1(A)))))),
% 0.75/0.75 inference(modus_ponens,[status(thm)],[108, 101])).
% 0.75/0.75 tff(110,plain,
% 0.75/0.75 (((~![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))))))),
% 0.75/0.75 inference(rewrite,[status(thm)],[])).
% 0.75/0.75 tff(111,plain,
% 0.75/0.75 ((~((~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)))))),
% 0.75/0.75 inference(rewrite,[status(thm)],[])).
% 0.75/0.75 tff(112,plain,
% 0.75/0.75 (((~![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))))))),
% 0.75/0.75 inference(monotonicity,[status(thm)],[111])).
% 0.75/0.75 tff(113,plain,
% 0.75/0.75 (((~![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))))))),
% 0.75/0.75 inference(transitivity,[status(thm)],[112, 110])).
% 0.75/0.75 tff(114,plain,
% 0.75/0.75 ((~![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)))))),
% 0.75/0.75 inference(quant_inst,[status(thm)],[])).
% 0.75/0.75 tff(115,plain,
% 0.75/0.75 ((~![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)))))),
% 0.75/0.75 inference(modus_ponens,[status(thm)],[114, 113])).
% 0.75/0.75 tff(116,plain,
% 0.75/0.75 (~((~l1_orders_2(k3_yellow_1(A!1))) | (~v1_orders_2(k3_yellow_1(A!1))))),
% 0.75/0.75 inference(unit_resolution,[status(thm)],[115, 109])).
% 0.75/0.75 tff(117,plain,
% 0.75/0.75 (((~l1_orders_2(k3_yellow_1(A!1))) | (~v1_orders_2(k3_yellow_1(A!1)))) | l1_orders_2(k3_yellow_1(A!1))),
% 0.75/0.75 inference(tautology,[status(thm)],[])).
% 0.75/0.75 tff(118,plain,
% 0.75/0.75 (l1_orders_2(k3_yellow_1(A!1))),
% 0.75/0.75 inference(unit_resolution,[status(thm)],[117, 116])).
% 0.75/0.75 tff(119,plain,
% 0.75/0.75 (^[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))))))))),
% 0.75/0.75 inference(bind,[status(th)],[])).
% 0.75/0.75 tff(120,plain,
% 0.75/0.75 (![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)))))))),
% 0.75/0.75 inference(quant_intro,[status(thm)],[119])).
% 0.75/0.75 tff(121,plain,
% 0.75/0.75 (^[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)))))))))),
% 0.75/0.75 inference(bind,[status(th)],[])).
% 0.75/0.75 tff(122,plain,
% 0.75/0.75 (![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)))))))),
% 0.75/0.75 inference(quant_intro,[status(thm)],[121])).
% 0.75/0.75 tff(123,plain,
% 0.75/0.75 (![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)))))),
% 0.75/0.75 inference(rewrite,[status(thm)],[])).
% 0.75/0.75 tff(124,plain,
% 0.75/0.75 (^[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)))))))),
% 0.75/0.75 inference(bind,[status(th)],[])).
% 0.75/0.75 tff(125,plain,
% 0.75/0.75 (![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)))))),
% 0.75/0.75 inference(quant_intro,[status(thm)],[124])).
% 0.75/0.75 tff(126,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/sandbox2/benchmark/theBenchmark.p','fc1_waybel22')).
% 0.75/0.75 tff(127,plain,
% 0.75/0.75 (![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)))))),
% 0.75/0.75 inference(modus_ponens,[status(thm)],[126, 125])).
% 0.75/0.75 tff(128,plain,
% 0.75/0.75 (![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)))))),
% 0.75/0.75 inference(modus_ponens,[status(thm)],[127, 123])).
% 0.75/0.75 tff(129,plain,(
% 0.75/0.75 ![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)))))),
% 0.75/0.75 inference(skolemize,[status(sab)],[128])).
% 0.75/0.75 tff(130,plain,
% 0.75/0.75 (![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)))))))),
% 0.75/0.75 inference(modus_ponens,[status(thm)],[129, 122])).
% 0.75/0.75 tff(131,plain,
% 0.75/0.75 (![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)))))))),
% 0.75/0.75 inference(modus_ponens,[status(thm)],[130, 120])).
% 0.75/0.75 tff(132,plain,
% 0.75/0.75 (((~![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))))))))),
% 0.78/0.75 inference(rewrite,[status(thm)],[])).
% 0.78/0.75 tff(133,plain,
% 0.78/0.75 ((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))))))))),
% 0.78/0.75 inference(rewrite,[status(thm)],[])).
% 0.78/0.75 tff(134,plain,
% 0.78/0.75 ((~(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)))))))),
% 0.78/0.76 inference(rewrite,[status(thm)],[])).
% 0.78/0.76 tff(135,plain,
% 0.78/0.76 ((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))))))))),
% 0.78/0.76 inference(monotonicity,[status(thm)],[134])).
% 0.78/0.76 tff(136,plain,
% 0.78/0.76 ((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))))))))),
% 0.78/0.76 inference(transitivity,[status(thm)],[135, 133])).
% 0.78/0.76 tff(137,plain,
% 0.78/0.76 (((~![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)))))))) | (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)))))))))),
% 0.78/0.76 inference(monotonicity,[status(thm)],[136])).
% 0.78/0.76 tff(138,plain,
% 0.78/0.76 (((~![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)))))))) | (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))))))))),
% 0.78/0.76 inference(transitivity,[status(thm)],[137, 132])).
% 0.78/0.76 tff(139,plain,
% 0.78/0.76 ((~![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)))))))) | (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))))))))),
% 0.78/0.76 inference(quant_inst,[status(thm)],[])).
% 0.78/0.76 tff(140,plain,
% 0.78/0.76 ((~![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)))))))) | (~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)))))))),
% 0.78/0.76 inference(modus_ponens,[status(thm)],[139, 138])).
% 0.78/0.76 tff(141,plain,
% 0.78/0.76 ((~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)))))))),
% 0.78/0.76 inference(unit_resolution,[status(thm)],[140, 131])).
% 0.78/0.76 tff(142,plain,
% 0.78/0.76 (~(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))))))),
% 0.78/0.76 inference(unit_resolution,[status(thm)],[141, 118, 99, 97, 95, 93, 91, 89])).
% 0.78/0.76 tff(143,plain,
% 0.78/0.76 ((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))))),
% 0.78/0.76 inference(tautology,[status(thm)],[])).
% 0.78/0.76 tff(144,plain,
% 0.78/0.76 (v3_waybel_3(k2_yellow_1(k9_waybel_0(k3_yellow_1(A!1))))),
% 0.78/0.76 inference(unit_resolution,[status(thm)],[143, 142])).
% 0.78/0.76 tff(145,plain,
% 0.78/0.76 ((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))))),
% 0.78/0.76 inference(tautology,[status(thm)],[])).
% 0.78/0.76 tff(146,plain,
% 0.78/0.76 (v1_lattice3(k2_yellow_1(k9_waybel_0(k3_yellow_1(A!1))))),
% 0.78/0.76 inference(unit_resolution,[status(thm)],[145, 142])).
% 0.78/0.76 tff(147,plain,
% 0.78/0.76 (^[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))))))))),
% 0.78/0.76 inference(bind,[status(th)],[])).
% 0.78/0.76 tff(148,plain,
% 0.78/0.76 (![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)))))))),
% 0.78/0.76 inference(quant_intro,[status(thm)],[147])).
% 0.78/0.76 tff(149,plain,
% 0.78/0.76 (^[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)))))))))),
% 0.78/0.76 inference(bind,[status(th)],[])).
% 0.78/0.76 tff(150,plain,
% 0.78/0.76 (![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)))))))),
% 0.78/0.76 inference(quant_intro,[status(thm)],[149])).
% 0.78/0.76 tff(151,plain,
% 0.78/0.76 (![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)))))),
% 0.78/0.76 inference(rewrite,[status(thm)],[])).
% 0.78/0.76 tff(152,plain,
% 0.78/0.76 (^[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)))))))),
% 0.78/0.76 inference(bind,[status(th)],[])).
% 0.78/0.76 tff(153,plain,
% 0.78/0.76 (![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)))))),
% 0.78/0.76 inference(quant_intro,[status(thm)],[152])).
% 0.78/0.76 tff(154,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/sandbox2/benchmark/theBenchmark.p','fc2_waybel16')).
% 0.78/0.76 tff(155,plain,
% 0.78/0.76 (![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)))))),
% 0.78/0.76 inference(modus_ponens,[status(thm)],[154, 153])).
% 0.78/0.76 tff(156,plain,
% 0.78/0.76 (![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)))))),
% 0.78/0.76 inference(modus_ponens,[status(thm)],[155, 151])).
% 0.78/0.76 tff(157,plain,(
% 0.78/0.76 ![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)))))),
% 0.78/0.76 inference(skolemize,[status(sab)],[156])).
% 0.78/0.76 tff(158,plain,
% 0.78/0.76 (![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)))))))),
% 0.78/0.76 inference(modus_ponens,[status(thm)],[157, 150])).
% 0.78/0.76 tff(159,plain,
% 0.78/0.76 (![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)))))))),
% 0.78/0.76 inference(modus_ponens,[status(thm)],[158, 148])).
% 0.78/0.76 tff(160,plain,
% 0.78/0.76 (((~![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))))))))),
% 0.78/0.77 inference(rewrite,[status(thm)],[])).
% 0.78/0.77 tff(161,plain,
% 0.78/0.77 ((~![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)))))))) | ((~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))))))))),
% 0.78/0.77 inference(quant_inst,[status(thm)],[])).
% 0.78/0.77 tff(162,plain,
% 0.78/0.77 ((~![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)))))))) | (~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)))))))),
% 0.78/0.77 inference(modus_ponens,[status(thm)],[161, 160])).
% 0.78/0.77 tff(163,plain,
% 0.78/0.77 ((~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(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)))))))),
% 0.78/0.77 inference(unit_resolution,[status(thm)],[162, 159])).
% 0.78/0.77 tff(164,plain,
% 0.78/0.77 (~(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))))))),
% 0.78/0.77 inference(unit_resolution,[status(thm)],[163, 118, 99, 97, 95, 93, 89])).
% 0.78/0.77 tff(165,plain,
% 0.78/0.77 ((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)))))) | v3_lattice3(k2_yellow_1(k9_waybel_0(k3_yellow_1(A!1))))),
% 0.78/0.77 inference(tautology,[status(thm)],[])).
% 0.78/0.77 tff(166,plain,
% 0.78/0.77 (v3_lattice3(k2_yellow_1(k9_waybel_0(k3_yellow_1(A!1))))),
% 0.78/0.77 inference(unit_resolution,[status(thm)],[165, 164])).
% 0.78/0.77 tff(167,plain,
% 0.78/0.77 ((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_lattice3(k2_yellow_1(k9_waybel_0(k3_yellow_1(A!1))))),
% 0.78/0.77 inference(tautology,[status(thm)],[])).
% 0.78/0.77 tff(168,plain,
% 0.78/0.77 (v2_lattice3(k2_yellow_1(k9_waybel_0(k3_yellow_1(A!1))))),
% 0.78/0.77 inference(unit_resolution,[status(thm)],[167, 164])).
% 0.78/0.77 tff(169,plain,
% 0.78/0.77 ((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)))))) | v4_orders_2(k2_yellow_1(k9_waybel_0(k3_yellow_1(A!1))))),
% 0.78/0.77 inference(tautology,[status(thm)],[])).
% 0.78/0.77 tff(170,plain,
% 0.78/0.77 (v4_orders_2(k2_yellow_1(k9_waybel_0(k3_yellow_1(A!1))))),
% 0.78/0.77 inference(unit_resolution,[status(thm)],[169, 164])).
% 0.78/0.77 tff(171,plain,
% 0.78/0.77 ((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)))))) | v3_orders_2(k2_yellow_1(k9_waybel_0(k3_yellow_1(A!1))))),
% 0.78/0.77 inference(tautology,[status(thm)],[])).
% 0.78/0.77 tff(172,plain,
% 0.78/0.77 (v3_orders_2(k2_yellow_1(k9_waybel_0(k3_yellow_1(A!1))))),
% 0.78/0.77 inference(unit_resolution,[status(thm)],[171, 164])).
% 0.78/0.77 tff(173,plain,
% 0.78/0.77 ((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_orders_2(k2_yellow_1(k9_waybel_0(k3_yellow_1(A!1))))),
% 0.78/0.77 inference(tautology,[status(thm)],[])).
% 0.78/0.77 tff(174,plain,
% 0.78/0.77 (v2_orders_2(k2_yellow_1(k9_waybel_0(k3_yellow_1(A!1))))),
% 0.78/0.77 inference(unit_resolution,[status(thm)],[173, 164])).
% 0.78/0.77 tff(175,plain,
% 0.78/0.77 (^[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)))))))),
% 0.78/0.77 inference(bind,[status(th)],[])).
% 0.78/0.77 tff(176,plain,
% 0.78/0.77 (![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))))))),
% 0.78/0.77 inference(quant_intro,[status(thm)],[175])).
% 0.78/0.77 tff(177,plain,
% 0.78/0.77 (^[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)))))))),
% 0.78/0.77 inference(bind,[status(th)],[])).
% 0.78/0.77 tff(178,plain,
% 0.78/0.77 (![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))))))),
% 0.78/0.77 inference(quant_intro,[status(thm)],[177])).
% 0.78/0.77 tff(179,plain,
% 0.78/0.77 (![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))))))),
% 0.78/0.77 inference(transitivity,[status(thm)],[178, 176])).
% 0.78/0.77 tff(180,plain,
% 0.78/0.77 (^[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))))))))),
% 0.78/0.77 inference(bind,[status(th)],[])).
% 0.78/0.77 tff(181,plain,
% 0.78/0.77 (![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))))))),
% 0.78/0.77 inference(quant_intro,[status(thm)],[180])).
% 0.78/0.77 tff(182,plain,
% 0.78/0.77 (![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))))),
% 0.78/0.77 inference(rewrite,[status(thm)],[])).
% 0.78/0.77 tff(183,plain,
% 0.78/0.77 (^[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))))))),
% 0.78/0.77 inference(bind,[status(th)],[])).
% 0.78/0.77 tff(184,plain,
% 0.78/0.77 (![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))))),
% 0.78/0.77 inference(quant_intro,[status(thm)],[183])).
% 0.78/0.77 tff(185,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/sandbox2/benchmark/theBenchmark.p','t17_waybel22')).
% 0.78/0.77 tff(186,plain,
% 0.78/0.77 (![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))))),
% 0.78/0.77 inference(modus_ponens,[status(thm)],[185, 184])).
% 0.78/0.77 tff(187,plain,
% 0.78/0.77 (![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))))),
% 0.78/0.77 inference(modus_ponens,[status(thm)],[186, 182])).
% 0.78/0.77 tff(188,plain,(
% 0.78/0.77 ![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))))),
% 0.78/0.77 inference(skolemize,[status(sab)],[187])).
% 0.78/0.77 tff(189,plain,
% 0.78/0.77 (![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))))))),
% 0.78/0.77 inference(modus_ponens,[status(thm)],[188, 181])).
% 0.78/0.77 tff(190,plain,
% 0.78/0.77 (![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))))))),
% 0.78/0.77 inference(modus_ponens,[status(thm)],[189, 179])).
% 0.78/0.77 tff(191,plain,
% 0.78/0.77 (l1_orders_2(B!0)),
% 0.78/0.77 inference(and_elim,[status(thm)],[37])).
% 0.78/0.77 tff(192,plain,
% 0.78/0.77 (v3_waybel_3(B!0)),
% 0.78/0.77 inference(and_elim,[status(thm)],[37])).
% 0.78/0.77 tff(193,plain,
% 0.78/0.77 (v3_lattice3(B!0)),
% 0.78/0.77 inference(and_elim,[status(thm)],[37])).
% 0.78/0.77 tff(194,plain,
% 0.78/0.77 (v2_lattice3(B!0)),
% 0.78/0.77 inference(and_elim,[status(thm)],[37])).
% 0.78/0.77 tff(195,plain,
% 0.78/0.77 (v1_lattice3(B!0)),
% 0.78/0.77 inference(and_elim,[status(thm)],[37])).
% 0.78/0.77 tff(196,plain,
% 0.78/0.77 (v4_orders_2(B!0)),
% 0.78/0.77 inference(and_elim,[status(thm)],[37])).
% 0.78/0.77 tff(197,plain,
% 0.78/0.77 (v3_orders_2(B!0)),
% 0.78/0.77 inference(and_elim,[status(thm)],[37])).
% 0.78/0.77 tff(198,plain,
% 0.78/0.77 (v2_orders_2(B!0)),
% 0.78/0.77 inference(and_elim,[status(thm)],[37])).
% 0.78/0.77 tff(199,plain,
% 0.78/0.77 (((~![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] : ((~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))))))) | (~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)))))),
% 0.78/0.77 inference(rewrite,[status(thm)],[])).
% 0.78/0.77 tff(200,plain,
% 0.78/0.77 (((~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))))) <=> ((~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)))))),
% 0.78/0.78 inference(rewrite,[status(thm)],[])).
% 0.78/0.78 tff(201,plain,
% 0.78/0.78 (^[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))))))),
% 0.78/0.78 inference(bind,[status(th)],[])).
% 0.78/0.78 tff(202,plain,
% 0.78/0.78 (![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))))),
% 0.78/0.78 inference(quant_intro,[status(thm)],[201])).
% 0.78/0.78 tff(203,plain,
% 0.78/0.78 (((~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)))))),
% 0.78/0.78 inference(monotonicity,[status(thm)],[202])).
% 0.78/0.78 tff(204,plain,
% 0.78/0.78 (((~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)))))),
% 0.78/0.78 inference(transitivity,[status(thm)],[203, 200])).
% 0.78/0.78 tff(205,plain,
% 0.78/0.78 (((~![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))))))) | ((~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))))))) | ((~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))))))),
% 0.78/0.78 inference(monotonicity,[status(thm)],[204])).
% 0.78/0.78 tff(206,plain,
% 0.78/0.78 (((~![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))))))) | ((~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))))))) | (~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)))))),
% 0.78/0.78 inference(transitivity,[status(thm)],[205, 199])).
% 0.78/0.78 tff(207,plain,
% 0.78/0.78 ((~![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))))))) | ((~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))))))),
% 0.78/0.78 inference(quant_inst,[status(thm)],[])).
% 0.78/0.78 tff(208,plain,
% 0.78/0.78 ((~![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))))))) | (~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))))),
% 0.78/0.78 inference(modus_ponens,[status(thm)],[207, 206])).
% 0.78/0.78 tff(209,plain,
% 0.78/0.78 (![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))))),
% 0.78/0.78 inference(unit_resolution,[status(thm)],[208, 198, 197, 196, 195, 194, 193, 192, 191, 190])).
% 0.78/0.78 tff(210,plain,
% 0.78/0.78 (((~![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))))),
% 0.78/0.78 inference(rewrite,[status(thm)],[])).
% 0.78/0.78 tff(211,plain,
% 0.78/0.78 (((~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))))),
% 0.78/0.78 inference(rewrite,[status(thm)],[])).
% 0.78/0.78 tff(212,plain,
% 0.78/0.78 (^[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))))),
% 0.78/0.78 inference(bind,[status(th)],[])).
% 0.78/0.78 tff(213,plain,
% 0.78/0.78 (![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)))),
% 0.78/0.78 inference(quant_intro,[status(thm)],[212])).
% 0.78/0.78 tff(214,plain,
% 0.78/0.78 (((~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))))),
% 0.78/0.78 inference(monotonicity,[status(thm)],[213])).
% 0.78/0.78 tff(215,plain,
% 0.78/0.78 (((~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))))),
% 0.78/0.78 inference(transitivity,[status(thm)],[214, 211])).
% 0.78/0.78 tff(216,plain,
% 0.78/0.78 (((~![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)))))),
% 0.78/0.78 inference(monotonicity,[status(thm)],[215])).
% 0.78/0.78 tff(217,plain,
% 0.78/0.78 (((~![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))))),
% 0.78/0.78 inference(transitivity,[status(thm)],[216, 210])).
% 0.78/0.78 tff(218,plain,
% 0.78/0.78 ((~![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))))),
% 0.78/0.78 inference(quant_inst,[status(thm)],[])).
% 0.78/0.78 tff(219,plain,
% 0.78/0.78 ((~![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)))),
% 0.78/0.78 inference(modus_ponens,[status(thm)],[218, 217])).
% 0.78/0.78 tff(220,plain,
% 0.78/0.78 (![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)))),
% 0.78/0.78 inference(unit_resolution,[status(thm)],[219, 209, 174, 172, 170, 168, 166, 146, 144, 67])).
% 0.78/0.78 tff(221,plain,
% 0.78/0.78 (~r5_waybel_1(B!0, k2_yellow_1(k9_waybel_0(k3_yellow_1(A!1))))),
% 0.78/0.78 inference(or_elim,[status(thm)],[38])).
% 0.78/0.78 tff(222,plain,
% 0.78/0.78 (r1_waybel22(B!0, C!2)),
% 0.78/0.78 inference(and_elim,[status(thm)],[39])).
% 0.78/0.78 tff(223,plain,
% 0.78/0.78 (((~![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))))),
% 0.78/0.78 inference(rewrite,[status(thm)],[])).
% 0.78/0.78 tff(224,plain,
% 0.78/0.78 ((~![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))))),
% 0.78/0.79 inference(quant_inst,[status(thm)],[])).
% 0.78/0.79 tff(225,plain,
% 0.78/0.79 ((~![C: $i, D: $i] : (r5_waybel_1(B!0, k2_yellow_1(k9_waybel_0(k3_yellow_1(A!1)))) | (~(k1_card_1(C) = k1_card_1(D))) | (~r1_waybel22(B!0, C)) | (~r1_waybel22(k2_yellow_1(k9_waybel_0(k3_yellow_1(A!1))), D)))) | r5_waybel_1(B!0, k2_yellow_1(k9_waybel_0(k3_yellow_1(A!1)))) | (~(k1_card_1(C!2) = k1_card_1(a_1_0_waybel22(A!1)))) | (~r1_waybel22(B!0, C!2)) | (~r1_waybel22(k2_yellow_1(k9_waybel_0(k3_yellow_1(A!1))), a_1_0_waybel22(A!1)))),
% 0.78/0.79 inference(modus_ponens,[status(thm)],[224, 223])).
% 0.78/0.79 tff(226,plain,
% 0.78/0.79 ((~(k1_card_1(C!2) = k1_card_1(a_1_0_waybel22(A!1)))) | (~r1_waybel22(k2_yellow_1(k9_waybel_0(k3_yellow_1(A!1))), a_1_0_waybel22(A!1)))),
% 0.78/0.79 inference(unit_resolution,[status(thm)],[225, 222, 221, 220])).
% 0.78/0.79 tff(227,plain,
% 0.78/0.79 ($false),
% 0.78/0.79 inference(unit_resolution,[status(thm)],[226, 53, 41])).
% 0.78/0.79 % SZS output end Proof
%------------------------------------------------------------------------------