TSTP Solution File: TOP047+1 by Z3---4.8.9.0
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%------------------------------------------------------------------------------
% File : Z3---4.8.9.0
% Problem : TOP047+1 : TPTP v8.1.0. Released v3.4.0.
% Transfm : none
% Format : tptp
% Command : z3_tptp -proof -model -t:%d -file:%s
% Computer : n015.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 : Fri Sep 30 01:56:05 EDT 2022
% Result : Theorem 0.75s 0.71s
% Output : Proof 0.82s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12 % Problem : TOP047+1 : TPTP v8.1.0. Released v3.4.0.
% 0.10/0.12 % Command : z3_tptp -proof -model -t:%d -file:%s
% 0.12/0.34 % Computer : n015.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Mon Aug 29 11:53:19 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.12/0.34 Z3tptp [4.8.9.0] (c) 2006-20**. Microsoft Corp.
% 0.12/0.34 Usage: tptp [options] [-file:]file
% 0.12/0.34 -h, -? prints this message.
% 0.12/0.34 -smt2 print SMT-LIB2 benchmark.
% 0.12/0.34 -m, -model generate model.
% 0.12/0.34 -p, -proof generate proof.
% 0.12/0.34 -c, -core generate unsat core of named formulas.
% 0.12/0.34 -st, -statistics display statistics.
% 0.12/0.34 -t:timeout set timeout (in second).
% 0.12/0.34 -smt2status display status in smt2 format instead of SZS.
% 0.12/0.34 -check_status check the status produced by Z3 against annotation in benchmark.
% 0.12/0.34 -<param>:<value> configuration parameter and value.
% 0.12/0.34 -o:<output-file> file to place output in.
% 0.75/0.71 % SZS status Theorem
% 0.75/0.71 % SZS output start Proof
% 0.75/0.71 tff(k14_yellow_6_type, type, (
% 0.75/0.71 k14_yellow_6: ( $i * $i ) > $i)).
% 0.75/0.71 tff(k3_waybel28_type, type, (
% 0.75/0.71 k3_waybel28: $i > $i)).
% 0.75/0.71 tff(tptp_fun_B_1_type, type, (
% 0.75/0.71 tptp_fun_B_1: $i)).
% 0.75/0.71 tff(tptp_fun_A_0_type, type, (
% 0.75/0.71 tptp_fun_A_0: $i)).
% 0.75/0.71 tff(g1_pre_topc_type, type, (
% 0.75/0.71 g1_pre_topc: ( $i * $i ) > $i)).
% 0.75/0.71 tff(u1_pre_topc_type, type, (
% 0.75/0.71 u1_pre_topc: $i > $i)).
% 0.75/0.71 tff(u1_struct_0_type, type, (
% 0.75/0.71 u1_struct_0: $i > $i)).
% 0.75/0.71 tff(l1_pre_topc_type, type, (
% 0.75/0.71 l1_pre_topc: $i > $o)).
% 0.75/0.71 tff(v1_pre_topc_type, type, (
% 0.75/0.71 v1_pre_topc: $i > $o)).
% 0.75/0.71 tff(m4_yellow_6_type, type, (
% 0.75/0.71 m4_yellow_6: ( $i * $i ) > $o)).
% 0.75/0.71 tff(v3_struct_0_type, type, (
% 0.75/0.71 v3_struct_0: $i > $o)).
% 0.75/0.71 tff(v2_lattice3_type, type, (
% 0.75/0.71 v2_lattice3: $i > $o)).
% 0.75/0.71 tff(l1_orders_2_type, type, (
% 0.75/0.71 l1_orders_2: $i > $o)).
% 0.75/0.71 tff(v25_waybel_0_type, type, (
% 0.75/0.71 v25_waybel_0: $i > $o)).
% 0.75/0.71 tff(v24_waybel_0_type, type, (
% 0.75/0.71 v24_waybel_0: $i > $o)).
% 0.75/0.71 tff(v4_orders_2_type, type, (
% 0.75/0.71 v4_orders_2: $i > $o)).
% 0.75/0.71 tff(v3_orders_2_type, type, (
% 0.75/0.71 v3_orders_2: $i > $o)).
% 0.75/0.71 tff(v2_orders_2_type, type, (
% 0.75/0.71 v2_orders_2: $i > $o)).
% 0.75/0.71 tff(g1_orders_2_type, type, (
% 0.75/0.71 g1_orders_2: ( $i * $i ) > $i)).
% 0.75/0.71 tff(u1_orders_2_type, type, (
% 0.75/0.71 u1_orders_2: $i > $i)).
% 0.75/0.71 tff(l1_struct_0_type, type, (
% 0.75/0.71 l1_struct_0: $i > $o)).
% 0.75/0.71 tff(v2_pre_topc_type, type, (
% 0.75/0.71 v2_pre_topc: $i > $o)).
% 0.75/0.71 tff(r1_tarski_type, type, (
% 0.75/0.71 r1_tarski: ( $i * $i ) > $o)).
% 0.75/0.71 tff(a_2_1_yellow_6_type, type, (
% 0.75/0.71 a_2_1_yellow_6: ( $i * $i ) > $i)).
% 0.75/0.71 tff(m1_relset_1_type, type, (
% 0.75/0.71 m1_relset_1: ( $i * $i * $i ) > $o)).
% 0.75/0.71 tff(m2_relset_1_type, type, (
% 0.75/0.71 m2_relset_1: ( $i * $i * $i ) > $o)).
% 0.75/0.71 tff(1,plain,
% 0.75/0.71 (^[A: $i] : refl(((~v3_struct_0(A)) | (~l1_orders_2(A)) | (~v2_lattice3(A))) <=> ((~v3_struct_0(A)) | (~l1_orders_2(A)) | (~v2_lattice3(A))))),
% 0.75/0.71 inference(bind,[status(th)],[])).
% 0.75/0.71 tff(2,plain,
% 0.75/0.71 (![A: $i] : ((~v3_struct_0(A)) | (~l1_orders_2(A)) | (~v2_lattice3(A))) <=> ![A: $i] : ((~v3_struct_0(A)) | (~l1_orders_2(A)) | (~v2_lattice3(A)))),
% 0.75/0.71 inference(quant_intro,[status(thm)],[1])).
% 0.75/0.71 tff(3,plain,
% 0.75/0.71 (![A: $i] : ((~v3_struct_0(A)) | (~l1_orders_2(A)) | (~v2_lattice3(A))) <=> ![A: $i] : ((~v3_struct_0(A)) | (~l1_orders_2(A)) | (~v2_lattice3(A)))),
% 0.75/0.71 inference(rewrite,[status(thm)],[])).
% 0.75/0.71 tff(4,plain,
% 0.75/0.71 (^[A: $i] : trans(monotonicity(rewrite((v2_lattice3(A) => (~v3_struct_0(A))) <=> ((~v2_lattice3(A)) | (~v3_struct_0(A)))), ((l1_orders_2(A) => (v2_lattice3(A) => (~v3_struct_0(A)))) <=> (l1_orders_2(A) => ((~v2_lattice3(A)) | (~v3_struct_0(A)))))), rewrite((l1_orders_2(A) => ((~v2_lattice3(A)) | (~v3_struct_0(A)))) <=> ((~v3_struct_0(A)) | (~l1_orders_2(A)) | (~v2_lattice3(A)))), ((l1_orders_2(A) => (v2_lattice3(A) => (~v3_struct_0(A)))) <=> ((~v3_struct_0(A)) | (~l1_orders_2(A)) | (~v2_lattice3(A)))))),
% 0.75/0.71 inference(bind,[status(th)],[])).
% 0.75/0.71 tff(5,plain,
% 0.75/0.71 (![A: $i] : (l1_orders_2(A) => (v2_lattice3(A) => (~v3_struct_0(A)))) <=> ![A: $i] : ((~v3_struct_0(A)) | (~l1_orders_2(A)) | (~v2_lattice3(A)))),
% 0.75/0.71 inference(quant_intro,[status(thm)],[4])).
% 0.75/0.71 tff(6,axiom,(![A: $i] : (l1_orders_2(A) => (v2_lattice3(A) => (~v3_struct_0(A))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','cc2_lattice3')).
% 0.75/0.71 tff(7,plain,
% 0.75/0.71 (![A: $i] : ((~v3_struct_0(A)) | (~l1_orders_2(A)) | (~v2_lattice3(A)))),
% 0.75/0.71 inference(modus_ponens,[status(thm)],[6, 5])).
% 0.75/0.71 tff(8,plain,
% 0.75/0.71 (![A: $i] : ((~v3_struct_0(A)) | (~l1_orders_2(A)) | (~v2_lattice3(A)))),
% 0.75/0.71 inference(modus_ponens,[status(thm)],[7, 3])).
% 0.75/0.71 tff(9,plain,(
% 0.75/0.71 ![A: $i] : ((~v3_struct_0(A)) | (~l1_orders_2(A)) | (~v2_lattice3(A)))),
% 0.75/0.71 inference(skolemize,[status(sab)],[8])).
% 0.75/0.71 tff(10,plain,
% 0.75/0.71 (![A: $i] : ((~v3_struct_0(A)) | (~l1_orders_2(A)) | (~v2_lattice3(A)))),
% 0.75/0.71 inference(modus_ponens,[status(thm)],[9, 2])).
% 0.75/0.71 tff(11,plain,
% 0.75/0.71 (((v2_orders_2(A!0) & v3_orders_2(A!0) & v4_orders_2(A!0) & v24_waybel_0(A!0) & v25_waybel_0(A!0) & v2_lattice3(A!0) & l1_orders_2(A!0)) & (~((k14_yellow_6(A!0, k3_waybel28(A!0)) = k14_yellow_6(B!1, k3_waybel28(B!1))) | (~(g1_orders_2(u1_struct_0(A!0), u1_orders_2(A!0)) = g1_orders_2(u1_struct_0(B!1), u1_orders_2(B!1)))) | (~(v2_orders_2(B!1) & v3_orders_2(B!1) & v4_orders_2(B!1) & v24_waybel_0(B!1) & v25_waybel_0(B!1) & v2_lattice3(B!1) & l1_orders_2(B!1)))))) <=> (v2_orders_2(A!0) & v3_orders_2(A!0) & v4_orders_2(A!0) & v24_waybel_0(A!0) & v25_waybel_0(A!0) & v2_lattice3(A!0) & l1_orders_2(A!0) & (~((k14_yellow_6(A!0, k3_waybel28(A!0)) = k14_yellow_6(B!1, k3_waybel28(B!1))) | (~(g1_orders_2(u1_struct_0(A!0), u1_orders_2(A!0)) = g1_orders_2(u1_struct_0(B!1), u1_orders_2(B!1)))) | (~(v2_orders_2(B!1) & v3_orders_2(B!1) & v4_orders_2(B!1) & v24_waybel_0(B!1) & v25_waybel_0(B!1) & v2_lattice3(B!1) & l1_orders_2(B!1))))))),
% 0.75/0.71 inference(rewrite,[status(thm)],[])).
% 0.75/0.71 tff(12,plain,
% 0.75/0.71 ((~((k14_yellow_6(A!0, k3_waybel28(A!0)) = k14_yellow_6(B!1, k3_waybel28(B!1))) | (~(g1_orders_2(u1_struct_0(A!0), u1_orders_2(A!0)) = g1_orders_2(u1_struct_0(B!1), u1_orders_2(B!1)))) | (~(v2_orders_2(B!1) & v3_orders_2(B!1) & v4_orders_2(B!1) & v24_waybel_0(B!1) & v25_waybel_0(B!1) & v2_lattice3(B!1) & l1_orders_2(B!1))))) <=> (~((k14_yellow_6(A!0, k3_waybel28(A!0)) = k14_yellow_6(B!1, k3_waybel28(B!1))) | (~(g1_orders_2(u1_struct_0(A!0), u1_orders_2(A!0)) = g1_orders_2(u1_struct_0(B!1), u1_orders_2(B!1)))) | (~(v2_orders_2(B!1) & v3_orders_2(B!1) & v4_orders_2(B!1) & v24_waybel_0(B!1) & v25_waybel_0(B!1) & v2_lattice3(B!1) & l1_orders_2(B!1)))))),
% 0.75/0.71 inference(rewrite,[status(thm)],[])).
% 0.75/0.71 tff(13,plain,
% 0.75/0.71 ((~(~(v2_orders_2(A!0) & v3_orders_2(A!0) & v4_orders_2(A!0) & v24_waybel_0(A!0) & v25_waybel_0(A!0) & v2_lattice3(A!0) & l1_orders_2(A!0)))) <=> (v2_orders_2(A!0) & v3_orders_2(A!0) & v4_orders_2(A!0) & v24_waybel_0(A!0) & v25_waybel_0(A!0) & v2_lattice3(A!0) & l1_orders_2(A!0))),
% 0.75/0.71 inference(rewrite,[status(thm)],[])).
% 0.75/0.71 tff(14,plain,
% 0.75/0.71 (((~(~(v2_orders_2(A!0) & v3_orders_2(A!0) & v4_orders_2(A!0) & v24_waybel_0(A!0) & v25_waybel_0(A!0) & v2_lattice3(A!0) & l1_orders_2(A!0)))) & (~((k14_yellow_6(A!0, k3_waybel28(A!0)) = k14_yellow_6(B!1, k3_waybel28(B!1))) | (~(g1_orders_2(u1_struct_0(A!0), u1_orders_2(A!0)) = g1_orders_2(u1_struct_0(B!1), u1_orders_2(B!1)))) | (~(v2_orders_2(B!1) & v3_orders_2(B!1) & v4_orders_2(B!1) & v24_waybel_0(B!1) & v25_waybel_0(B!1) & v2_lattice3(B!1) & l1_orders_2(B!1)))))) <=> ((v2_orders_2(A!0) & v3_orders_2(A!0) & v4_orders_2(A!0) & v24_waybel_0(A!0) & v25_waybel_0(A!0) & v2_lattice3(A!0) & l1_orders_2(A!0)) & (~((k14_yellow_6(A!0, k3_waybel28(A!0)) = k14_yellow_6(B!1, k3_waybel28(B!1))) | (~(g1_orders_2(u1_struct_0(A!0), u1_orders_2(A!0)) = g1_orders_2(u1_struct_0(B!1), u1_orders_2(B!1)))) | (~(v2_orders_2(B!1) & v3_orders_2(B!1) & v4_orders_2(B!1) & v24_waybel_0(B!1) & v25_waybel_0(B!1) & v2_lattice3(B!1) & l1_orders_2(B!1))))))),
% 0.75/0.71 inference(monotonicity,[status(thm)],[13, 12])).
% 0.75/0.71 tff(15,plain,
% 0.75/0.71 (((~(~(v2_orders_2(A!0) & v3_orders_2(A!0) & v4_orders_2(A!0) & v24_waybel_0(A!0) & v25_waybel_0(A!0) & v2_lattice3(A!0) & l1_orders_2(A!0)))) & (~((k14_yellow_6(A!0, k3_waybel28(A!0)) = k14_yellow_6(B!1, k3_waybel28(B!1))) | (~(g1_orders_2(u1_struct_0(A!0), u1_orders_2(A!0)) = g1_orders_2(u1_struct_0(B!1), u1_orders_2(B!1)))) | (~(v2_orders_2(B!1) & v3_orders_2(B!1) & v4_orders_2(B!1) & v24_waybel_0(B!1) & v25_waybel_0(B!1) & v2_lattice3(B!1) & l1_orders_2(B!1)))))) <=> (v2_orders_2(A!0) & v3_orders_2(A!0) & v4_orders_2(A!0) & v24_waybel_0(A!0) & v25_waybel_0(A!0) & v2_lattice3(A!0) & l1_orders_2(A!0) & (~((k14_yellow_6(A!0, k3_waybel28(A!0)) = k14_yellow_6(B!1, k3_waybel28(B!1))) | (~(g1_orders_2(u1_struct_0(A!0), u1_orders_2(A!0)) = g1_orders_2(u1_struct_0(B!1), u1_orders_2(B!1)))) | (~(v2_orders_2(B!1) & v3_orders_2(B!1) & v4_orders_2(B!1) & v24_waybel_0(B!1) & v25_waybel_0(B!1) & v2_lattice3(B!1) & l1_orders_2(B!1))))))),
% 0.75/0.71 inference(transitivity,[status(thm)],[14, 11])).
% 0.75/0.71 tff(16,plain,
% 0.75/0.71 ((~![A: $i] : ((~(v2_orders_2(A) & v3_orders_2(A) & v4_orders_2(A) & v24_waybel_0(A) & v25_waybel_0(A) & v2_lattice3(A) & l1_orders_2(A))) | ![B: $i] : ((k14_yellow_6(A, k3_waybel28(A)) = k14_yellow_6(B, k3_waybel28(B))) | (~(g1_orders_2(u1_struct_0(A), u1_orders_2(A)) = g1_orders_2(u1_struct_0(B), u1_orders_2(B)))) | (~(v2_orders_2(B) & v3_orders_2(B) & v4_orders_2(B) & v24_waybel_0(B) & v25_waybel_0(B) & v2_lattice3(B) & l1_orders_2(B)))))) <=> (~![A: $i] : ((~(v2_orders_2(A) & v3_orders_2(A) & v4_orders_2(A) & v24_waybel_0(A) & v25_waybel_0(A) & v2_lattice3(A) & l1_orders_2(A))) | ![B: $i] : ((k14_yellow_6(A, k3_waybel28(A)) = k14_yellow_6(B, k3_waybel28(B))) | (~(g1_orders_2(u1_struct_0(A), u1_orders_2(A)) = g1_orders_2(u1_struct_0(B), u1_orders_2(B)))) | (~(v2_orders_2(B) & v3_orders_2(B) & v4_orders_2(B) & v24_waybel_0(B) & v25_waybel_0(B) & v2_lattice3(B) & l1_orders_2(B))))))),
% 0.75/0.71 inference(rewrite,[status(thm)],[])).
% 0.75/0.71 tff(17,plain,
% 0.75/0.71 ((~![A: $i] : (((((((v2_orders_2(A) & v3_orders_2(A)) & v4_orders_2(A)) & v24_waybel_0(A)) & v25_waybel_0(A)) & v2_lattice3(A)) & l1_orders_2(A)) => ![B: $i] : (((((((v2_orders_2(B) & v3_orders_2(B)) & v4_orders_2(B)) & v24_waybel_0(B)) & v25_waybel_0(B)) & v2_lattice3(B)) & l1_orders_2(B)) => ((g1_orders_2(u1_struct_0(A), u1_orders_2(A)) = g1_orders_2(u1_struct_0(B), u1_orders_2(B))) => (k14_yellow_6(A, k3_waybel28(A)) = k14_yellow_6(B, k3_waybel28(B))))))) <=> (~![A: $i] : ((~(v2_orders_2(A) & v3_orders_2(A) & v4_orders_2(A) & v24_waybel_0(A) & v25_waybel_0(A) & v2_lattice3(A) & l1_orders_2(A))) | ![B: $i] : ((k14_yellow_6(A, k3_waybel28(A)) = k14_yellow_6(B, k3_waybel28(B))) | (~(g1_orders_2(u1_struct_0(A), u1_orders_2(A)) = g1_orders_2(u1_struct_0(B), u1_orders_2(B)))) | (~(v2_orders_2(B) & v3_orders_2(B) & v4_orders_2(B) & v24_waybel_0(B) & v25_waybel_0(B) & v2_lattice3(B) & l1_orders_2(B))))))),
% 0.75/0.71 inference(rewrite,[status(thm)],[])).
% 0.75/0.71 tff(18,axiom,(~![A: $i] : (((((((v2_orders_2(A) & v3_orders_2(A)) & v4_orders_2(A)) & v24_waybel_0(A)) & v25_waybel_0(A)) & v2_lattice3(A)) & l1_orders_2(A)) => ![B: $i] : (((((((v2_orders_2(B) & v3_orders_2(B)) & v4_orders_2(B)) & v24_waybel_0(B)) & v25_waybel_0(B)) & v2_lattice3(B)) & l1_orders_2(B)) => ((g1_orders_2(u1_struct_0(A), u1_orders_2(A)) = g1_orders_2(u1_struct_0(B), u1_orders_2(B))) => (k14_yellow_6(A, k3_waybel28(A)) = k14_yellow_6(B, k3_waybel28(B))))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','t8_waybel33')).
% 0.75/0.71 tff(19,plain,
% 0.75/0.71 (~![A: $i] : ((~(v2_orders_2(A) & v3_orders_2(A) & v4_orders_2(A) & v24_waybel_0(A) & v25_waybel_0(A) & v2_lattice3(A) & l1_orders_2(A))) | ![B: $i] : ((k14_yellow_6(A, k3_waybel28(A)) = k14_yellow_6(B, k3_waybel28(B))) | (~(g1_orders_2(u1_struct_0(A), u1_orders_2(A)) = g1_orders_2(u1_struct_0(B), u1_orders_2(B)))) | (~(v2_orders_2(B) & v3_orders_2(B) & v4_orders_2(B) & v24_waybel_0(B) & v25_waybel_0(B) & v2_lattice3(B) & l1_orders_2(B)))))),
% 0.75/0.71 inference(modus_ponens,[status(thm)],[18, 17])).
% 0.75/0.71 tff(20,plain,
% 0.75/0.71 (~![A: $i] : ((~(v2_orders_2(A) & v3_orders_2(A) & v4_orders_2(A) & v24_waybel_0(A) & v25_waybel_0(A) & v2_lattice3(A) & l1_orders_2(A))) | ![B: $i] : ((k14_yellow_6(A, k3_waybel28(A)) = k14_yellow_6(B, k3_waybel28(B))) | (~(g1_orders_2(u1_struct_0(A), u1_orders_2(A)) = g1_orders_2(u1_struct_0(B), u1_orders_2(B)))) | (~(v2_orders_2(B) & v3_orders_2(B) & v4_orders_2(B) & v24_waybel_0(B) & v25_waybel_0(B) & v2_lattice3(B) & l1_orders_2(B)))))),
% 0.75/0.71 inference(modus_ponens,[status(thm)],[19, 16])).
% 0.75/0.71 tff(21,plain,
% 0.75/0.71 (~![A: $i] : ((~(v2_orders_2(A) & v3_orders_2(A) & v4_orders_2(A) & v24_waybel_0(A) & v25_waybel_0(A) & v2_lattice3(A) & l1_orders_2(A))) | ![B: $i] : ((k14_yellow_6(A, k3_waybel28(A)) = k14_yellow_6(B, k3_waybel28(B))) | (~(g1_orders_2(u1_struct_0(A), u1_orders_2(A)) = g1_orders_2(u1_struct_0(B), u1_orders_2(B)))) | (~(v2_orders_2(B) & v3_orders_2(B) & v4_orders_2(B) & v24_waybel_0(B) & v25_waybel_0(B) & v2_lattice3(B) & l1_orders_2(B)))))),
% 0.75/0.71 inference(modus_ponens,[status(thm)],[20, 16])).
% 0.75/0.71 tff(22,plain,
% 0.75/0.71 (~![A: $i] : ((~(v2_orders_2(A) & v3_orders_2(A) & v4_orders_2(A) & v24_waybel_0(A) & v25_waybel_0(A) & v2_lattice3(A) & l1_orders_2(A))) | ![B: $i] : ((k14_yellow_6(A, k3_waybel28(A)) = k14_yellow_6(B, k3_waybel28(B))) | (~(g1_orders_2(u1_struct_0(A), u1_orders_2(A)) = g1_orders_2(u1_struct_0(B), u1_orders_2(B)))) | (~(v2_orders_2(B) & v3_orders_2(B) & v4_orders_2(B) & v24_waybel_0(B) & v25_waybel_0(B) & v2_lattice3(B) & l1_orders_2(B)))))),
% 0.75/0.72 inference(modus_ponens,[status(thm)],[21, 16])).
% 0.75/0.72 tff(23,plain,
% 0.75/0.72 (~![A: $i] : ((~(v2_orders_2(A) & v3_orders_2(A) & v4_orders_2(A) & v24_waybel_0(A) & v25_waybel_0(A) & v2_lattice3(A) & l1_orders_2(A))) | ![B: $i] : ((k14_yellow_6(A, k3_waybel28(A)) = k14_yellow_6(B, k3_waybel28(B))) | (~(g1_orders_2(u1_struct_0(A), u1_orders_2(A)) = g1_orders_2(u1_struct_0(B), u1_orders_2(B)))) | (~(v2_orders_2(B) & v3_orders_2(B) & v4_orders_2(B) & v24_waybel_0(B) & v25_waybel_0(B) & v2_lattice3(B) & l1_orders_2(B)))))),
% 0.75/0.72 inference(modus_ponens,[status(thm)],[22, 16])).
% 0.75/0.72 tff(24,plain,
% 0.75/0.72 (~![A: $i] : ((~(v2_orders_2(A) & v3_orders_2(A) & v4_orders_2(A) & v24_waybel_0(A) & v25_waybel_0(A) & v2_lattice3(A) & l1_orders_2(A))) | ![B: $i] : ((k14_yellow_6(A, k3_waybel28(A)) = k14_yellow_6(B, k3_waybel28(B))) | (~(g1_orders_2(u1_struct_0(A), u1_orders_2(A)) = g1_orders_2(u1_struct_0(B), u1_orders_2(B)))) | (~(v2_orders_2(B) & v3_orders_2(B) & v4_orders_2(B) & v24_waybel_0(B) & v25_waybel_0(B) & v2_lattice3(B) & l1_orders_2(B)))))),
% 0.75/0.72 inference(modus_ponens,[status(thm)],[23, 16])).
% 0.75/0.72 tff(25,plain,
% 0.75/0.72 (~![A: $i] : ((~(v2_orders_2(A) & v3_orders_2(A) & v4_orders_2(A) & v24_waybel_0(A) & v25_waybel_0(A) & v2_lattice3(A) & l1_orders_2(A))) | ![B: $i] : ((k14_yellow_6(A, k3_waybel28(A)) = k14_yellow_6(B, k3_waybel28(B))) | (~(g1_orders_2(u1_struct_0(A), u1_orders_2(A)) = g1_orders_2(u1_struct_0(B), u1_orders_2(B)))) | (~(v2_orders_2(B) & v3_orders_2(B) & v4_orders_2(B) & v24_waybel_0(B) & v25_waybel_0(B) & v2_lattice3(B) & l1_orders_2(B)))))),
% 0.75/0.72 inference(modus_ponens,[status(thm)],[24, 16])).
% 0.75/0.72 tff(26,plain,
% 0.75/0.72 (v2_orders_2(A!0) & v3_orders_2(A!0) & v4_orders_2(A!0) & v24_waybel_0(A!0) & v25_waybel_0(A!0) & v2_lattice3(A!0) & l1_orders_2(A!0) & (~((k14_yellow_6(A!0, k3_waybel28(A!0)) = k14_yellow_6(B!1, k3_waybel28(B!1))) | (~(g1_orders_2(u1_struct_0(A!0), u1_orders_2(A!0)) = g1_orders_2(u1_struct_0(B!1), u1_orders_2(B!1)))) | (~(v2_orders_2(B!1) & v3_orders_2(B!1) & v4_orders_2(B!1) & v24_waybel_0(B!1) & v25_waybel_0(B!1) & v2_lattice3(B!1) & l1_orders_2(B!1)))))),
% 0.75/0.72 inference(modus_ponens,[status(thm)],[25, 15])).
% 0.75/0.72 tff(27,plain,
% 0.75/0.72 (~((k14_yellow_6(A!0, k3_waybel28(A!0)) = k14_yellow_6(B!1, k3_waybel28(B!1))) | (~(g1_orders_2(u1_struct_0(A!0), u1_orders_2(A!0)) = g1_orders_2(u1_struct_0(B!1), u1_orders_2(B!1)))) | (~(v2_orders_2(B!1) & v3_orders_2(B!1) & v4_orders_2(B!1) & v24_waybel_0(B!1) & v25_waybel_0(B!1) & v2_lattice3(B!1) & l1_orders_2(B!1))))),
% 0.75/0.72 inference(and_elim,[status(thm)],[26])).
% 0.75/0.72 tff(28,plain,
% 0.75/0.72 (v2_orders_2(B!1) & v3_orders_2(B!1) & v4_orders_2(B!1) & v24_waybel_0(B!1) & v25_waybel_0(B!1) & v2_lattice3(B!1) & l1_orders_2(B!1)),
% 0.75/0.72 inference(or_elim,[status(thm)],[27])).
% 0.75/0.72 tff(29,plain,
% 0.75/0.72 (l1_orders_2(B!1)),
% 0.75/0.72 inference(and_elim,[status(thm)],[28])).
% 0.75/0.72 tff(30,plain,
% 0.75/0.72 (v2_lattice3(B!1)),
% 0.75/0.72 inference(and_elim,[status(thm)],[28])).
% 0.75/0.72 tff(31,plain,
% 0.75/0.72 (((~![A: $i] : ((~v3_struct_0(A)) | (~l1_orders_2(A)) | (~v2_lattice3(A)))) | ((~l1_orders_2(B!1)) | (~v2_lattice3(B!1)) | (~v3_struct_0(B!1)))) <=> ((~![A: $i] : ((~v3_struct_0(A)) | (~l1_orders_2(A)) | (~v2_lattice3(A)))) | (~l1_orders_2(B!1)) | (~v2_lattice3(B!1)) | (~v3_struct_0(B!1)))),
% 0.75/0.72 inference(rewrite,[status(thm)],[])).
% 0.75/0.72 tff(32,plain,
% 0.75/0.72 (((~v3_struct_0(B!1)) | (~l1_orders_2(B!1)) | (~v2_lattice3(B!1))) <=> ((~l1_orders_2(B!1)) | (~v2_lattice3(B!1)) | (~v3_struct_0(B!1)))),
% 0.75/0.72 inference(rewrite,[status(thm)],[])).
% 0.75/0.72 tff(33,plain,
% 0.75/0.72 (((~![A: $i] : ((~v3_struct_0(A)) | (~l1_orders_2(A)) | (~v2_lattice3(A)))) | ((~v3_struct_0(B!1)) | (~l1_orders_2(B!1)) | (~v2_lattice3(B!1)))) <=> ((~![A: $i] : ((~v3_struct_0(A)) | (~l1_orders_2(A)) | (~v2_lattice3(A)))) | ((~l1_orders_2(B!1)) | (~v2_lattice3(B!1)) | (~v3_struct_0(B!1))))),
% 0.75/0.72 inference(monotonicity,[status(thm)],[32])).
% 0.75/0.72 tff(34,plain,
% 0.75/0.72 (((~![A: $i] : ((~v3_struct_0(A)) | (~l1_orders_2(A)) | (~v2_lattice3(A)))) | ((~v3_struct_0(B!1)) | (~l1_orders_2(B!1)) | (~v2_lattice3(B!1)))) <=> ((~![A: $i] : ((~v3_struct_0(A)) | (~l1_orders_2(A)) | (~v2_lattice3(A)))) | (~l1_orders_2(B!1)) | (~v2_lattice3(B!1)) | (~v3_struct_0(B!1)))),
% 0.75/0.72 inference(transitivity,[status(thm)],[33, 31])).
% 0.75/0.72 tff(35,plain,
% 0.75/0.72 ((~![A: $i] : ((~v3_struct_0(A)) | (~l1_orders_2(A)) | (~v2_lattice3(A)))) | ((~v3_struct_0(B!1)) | (~l1_orders_2(B!1)) | (~v2_lattice3(B!1)))),
% 0.75/0.72 inference(quant_inst,[status(thm)],[])).
% 0.75/0.72 tff(36,plain,
% 0.75/0.72 ((~![A: $i] : ((~v3_struct_0(A)) | (~l1_orders_2(A)) | (~v2_lattice3(A)))) | (~l1_orders_2(B!1)) | (~v2_lattice3(B!1)) | (~v3_struct_0(B!1))),
% 0.75/0.72 inference(modus_ponens,[status(thm)],[35, 34])).
% 0.75/0.72 tff(37,plain,
% 0.75/0.72 (~v3_struct_0(B!1)),
% 0.75/0.72 inference(unit_resolution,[status(thm)],[36, 30, 29, 10])).
% 0.75/0.72 tff(38,plain,
% 0.75/0.72 (^[A: $i] : refl((v3_struct_0(A) | m4_yellow_6(k3_waybel28(A), A) | (~l1_orders_2(A))) <=> (v3_struct_0(A) | m4_yellow_6(k3_waybel28(A), A) | (~l1_orders_2(A))))),
% 0.75/0.72 inference(bind,[status(th)],[])).
% 0.75/0.72 tff(39,plain,
% 0.75/0.72 (![A: $i] : (v3_struct_0(A) | m4_yellow_6(k3_waybel28(A), A) | (~l1_orders_2(A))) <=> ![A: $i] : (v3_struct_0(A) | m4_yellow_6(k3_waybel28(A), A) | (~l1_orders_2(A)))),
% 0.75/0.72 inference(quant_intro,[status(thm)],[38])).
% 0.75/0.72 tff(40,plain,
% 0.75/0.72 (^[A: $i] : trans(monotonicity(trans(monotonicity(rewrite(((~v3_struct_0(A)) & l1_orders_2(A)) <=> (~(v3_struct_0(A) | (~l1_orders_2(A))))), ((~((~v3_struct_0(A)) & l1_orders_2(A))) <=> (~(~(v3_struct_0(A) | (~l1_orders_2(A))))))), rewrite((~(~(v3_struct_0(A) | (~l1_orders_2(A))))) <=> (v3_struct_0(A) | (~l1_orders_2(A)))), ((~((~v3_struct_0(A)) & l1_orders_2(A))) <=> (v3_struct_0(A) | (~l1_orders_2(A))))), (((~((~v3_struct_0(A)) & l1_orders_2(A))) | m4_yellow_6(k3_waybel28(A), A)) <=> ((v3_struct_0(A) | (~l1_orders_2(A))) | m4_yellow_6(k3_waybel28(A), A)))), rewrite(((v3_struct_0(A) | (~l1_orders_2(A))) | m4_yellow_6(k3_waybel28(A), A)) <=> (v3_struct_0(A) | m4_yellow_6(k3_waybel28(A), A) | (~l1_orders_2(A)))), (((~((~v3_struct_0(A)) & l1_orders_2(A))) | m4_yellow_6(k3_waybel28(A), A)) <=> (v3_struct_0(A) | m4_yellow_6(k3_waybel28(A), A) | (~l1_orders_2(A)))))),
% 0.75/0.72 inference(bind,[status(th)],[])).
% 0.75/0.72 tff(41,plain,
% 0.75/0.72 (![A: $i] : ((~((~v3_struct_0(A)) & l1_orders_2(A))) | m4_yellow_6(k3_waybel28(A), A)) <=> ![A: $i] : (v3_struct_0(A) | m4_yellow_6(k3_waybel28(A), A) | (~l1_orders_2(A)))),
% 0.75/0.72 inference(quant_intro,[status(thm)],[40])).
% 0.75/0.72 tff(42,plain,
% 0.75/0.72 (![A: $i] : ((~((~v3_struct_0(A)) & l1_orders_2(A))) | m4_yellow_6(k3_waybel28(A), A)) <=> ![A: $i] : ((~((~v3_struct_0(A)) & l1_orders_2(A))) | m4_yellow_6(k3_waybel28(A), A))),
% 0.75/0.72 inference(rewrite,[status(thm)],[])).
% 0.75/0.72 tff(43,plain,
% 0.75/0.72 (^[A: $i] : rewrite((((~v3_struct_0(A)) & l1_orders_2(A)) => m4_yellow_6(k3_waybel28(A), A)) <=> ((~((~v3_struct_0(A)) & l1_orders_2(A))) | m4_yellow_6(k3_waybel28(A), A)))),
% 0.75/0.72 inference(bind,[status(th)],[])).
% 0.75/0.72 tff(44,plain,
% 0.75/0.72 (![A: $i] : (((~v3_struct_0(A)) & l1_orders_2(A)) => m4_yellow_6(k3_waybel28(A), A)) <=> ![A: $i] : ((~((~v3_struct_0(A)) & l1_orders_2(A))) | m4_yellow_6(k3_waybel28(A), A))),
% 0.75/0.72 inference(quant_intro,[status(thm)],[43])).
% 0.75/0.72 tff(45,axiom,(![A: $i] : (((~v3_struct_0(A)) & l1_orders_2(A)) => m4_yellow_6(k3_waybel28(A), A))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','dt_k3_waybel28')).
% 0.75/0.72 tff(46,plain,
% 0.75/0.72 (![A: $i] : ((~((~v3_struct_0(A)) & l1_orders_2(A))) | m4_yellow_6(k3_waybel28(A), A))),
% 0.75/0.72 inference(modus_ponens,[status(thm)],[45, 44])).
% 0.75/0.72 tff(47,plain,
% 0.75/0.72 (![A: $i] : ((~((~v3_struct_0(A)) & l1_orders_2(A))) | m4_yellow_6(k3_waybel28(A), A))),
% 0.75/0.72 inference(modus_ponens,[status(thm)],[46, 42])).
% 0.75/0.72 tff(48,plain,(
% 0.75/0.72 ![A: $i] : ((~((~v3_struct_0(A)) & l1_orders_2(A))) | m4_yellow_6(k3_waybel28(A), A))),
% 0.75/0.72 inference(skolemize,[status(sab)],[47])).
% 0.75/0.72 tff(49,plain,
% 0.75/0.72 (![A: $i] : (v3_struct_0(A) | m4_yellow_6(k3_waybel28(A), A) | (~l1_orders_2(A)))),
% 0.75/0.72 inference(modus_ponens,[status(thm)],[48, 41])).
% 0.75/0.72 tff(50,plain,
% 0.75/0.72 (![A: $i] : (v3_struct_0(A) | m4_yellow_6(k3_waybel28(A), A) | (~l1_orders_2(A)))),
% 0.75/0.72 inference(modus_ponens,[status(thm)],[49, 39])).
% 0.75/0.72 tff(51,plain,
% 0.75/0.72 (((~![A: $i] : (v3_struct_0(A) | m4_yellow_6(k3_waybel28(A), A) | (~l1_orders_2(A)))) | (v3_struct_0(B!1) | (~l1_orders_2(B!1)) | m4_yellow_6(k3_waybel28(B!1), B!1))) <=> ((~![A: $i] : (v3_struct_0(A) | m4_yellow_6(k3_waybel28(A), A) | (~l1_orders_2(A)))) | v3_struct_0(B!1) | (~l1_orders_2(B!1)) | m4_yellow_6(k3_waybel28(B!1), B!1))),
% 0.75/0.72 inference(rewrite,[status(thm)],[])).
% 0.75/0.72 tff(52,plain,
% 0.75/0.72 ((v3_struct_0(B!1) | m4_yellow_6(k3_waybel28(B!1), B!1) | (~l1_orders_2(B!1))) <=> (v3_struct_0(B!1) | (~l1_orders_2(B!1)) | m4_yellow_6(k3_waybel28(B!1), B!1))),
% 0.75/0.72 inference(rewrite,[status(thm)],[])).
% 0.75/0.72 tff(53,plain,
% 0.75/0.72 (((~![A: $i] : (v3_struct_0(A) | m4_yellow_6(k3_waybel28(A), A) | (~l1_orders_2(A)))) | (v3_struct_0(B!1) | m4_yellow_6(k3_waybel28(B!1), B!1) | (~l1_orders_2(B!1)))) <=> ((~![A: $i] : (v3_struct_0(A) | m4_yellow_6(k3_waybel28(A), A) | (~l1_orders_2(A)))) | (v3_struct_0(B!1) | (~l1_orders_2(B!1)) | m4_yellow_6(k3_waybel28(B!1), B!1)))),
% 0.75/0.72 inference(monotonicity,[status(thm)],[52])).
% 0.75/0.72 tff(54,plain,
% 0.75/0.72 (((~![A: $i] : (v3_struct_0(A) | m4_yellow_6(k3_waybel28(A), A) | (~l1_orders_2(A)))) | (v3_struct_0(B!1) | m4_yellow_6(k3_waybel28(B!1), B!1) | (~l1_orders_2(B!1)))) <=> ((~![A: $i] : (v3_struct_0(A) | m4_yellow_6(k3_waybel28(A), A) | (~l1_orders_2(A)))) | v3_struct_0(B!1) | (~l1_orders_2(B!1)) | m4_yellow_6(k3_waybel28(B!1), B!1))),
% 0.75/0.72 inference(transitivity,[status(thm)],[53, 51])).
% 0.75/0.72 tff(55,plain,
% 0.75/0.72 ((~![A: $i] : (v3_struct_0(A) | m4_yellow_6(k3_waybel28(A), A) | (~l1_orders_2(A)))) | (v3_struct_0(B!1) | m4_yellow_6(k3_waybel28(B!1), B!1) | (~l1_orders_2(B!1)))),
% 0.75/0.72 inference(quant_inst,[status(thm)],[])).
% 0.75/0.72 tff(56,plain,
% 0.75/0.72 ((~![A: $i] : (v3_struct_0(A) | m4_yellow_6(k3_waybel28(A), A) | (~l1_orders_2(A)))) | v3_struct_0(B!1) | (~l1_orders_2(B!1)) | m4_yellow_6(k3_waybel28(B!1), B!1)),
% 0.75/0.72 inference(modus_ponens,[status(thm)],[55, 54])).
% 0.75/0.72 tff(57,plain,
% 0.75/0.72 (v3_struct_0(B!1) | m4_yellow_6(k3_waybel28(B!1), B!1)),
% 0.75/0.72 inference(unit_resolution,[status(thm)],[56, 29, 50])).
% 0.75/0.72 tff(58,plain,
% 0.75/0.72 (m4_yellow_6(k3_waybel28(B!1), B!1)),
% 0.75/0.72 inference(unit_resolution,[status(thm)],[57, 37])).
% 0.75/0.72 tff(59,plain,
% 0.75/0.72 (^[A: $i] : refl((l1_struct_0(A) | (~l1_orders_2(A))) <=> (l1_struct_0(A) | (~l1_orders_2(A))))),
% 0.75/0.72 inference(bind,[status(th)],[])).
% 0.75/0.72 tff(60,plain,
% 0.75/0.72 (![A: $i] : (l1_struct_0(A) | (~l1_orders_2(A))) <=> ![A: $i] : (l1_struct_0(A) | (~l1_orders_2(A)))),
% 0.75/0.72 inference(quant_intro,[status(thm)],[59])).
% 0.75/0.72 tff(61,plain,
% 0.75/0.72 (![A: $i] : (l1_struct_0(A) | (~l1_orders_2(A))) <=> ![A: $i] : (l1_struct_0(A) | (~l1_orders_2(A)))),
% 0.75/0.72 inference(rewrite,[status(thm)],[])).
% 0.75/0.72 tff(62,plain,
% 0.75/0.72 (^[A: $i] : rewrite((l1_orders_2(A) => l1_struct_0(A)) <=> (l1_struct_0(A) | (~l1_orders_2(A))))),
% 0.75/0.72 inference(bind,[status(th)],[])).
% 0.75/0.72 tff(63,plain,
% 0.75/0.72 (![A: $i] : (l1_orders_2(A) => l1_struct_0(A)) <=> ![A: $i] : (l1_struct_0(A) | (~l1_orders_2(A)))),
% 0.75/0.72 inference(quant_intro,[status(thm)],[62])).
% 0.75/0.72 tff(64,axiom,(![A: $i] : (l1_orders_2(A) => l1_struct_0(A))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','dt_l1_orders_2')).
% 0.75/0.72 tff(65,plain,
% 0.75/0.72 (![A: $i] : (l1_struct_0(A) | (~l1_orders_2(A)))),
% 0.75/0.72 inference(modus_ponens,[status(thm)],[64, 63])).
% 0.75/0.72 tff(66,plain,
% 0.75/0.72 (![A: $i] : (l1_struct_0(A) | (~l1_orders_2(A)))),
% 0.75/0.72 inference(modus_ponens,[status(thm)],[65, 61])).
% 0.75/0.72 tff(67,plain,(
% 0.75/0.72 ![A: $i] : (l1_struct_0(A) | (~l1_orders_2(A)))),
% 0.75/0.72 inference(skolemize,[status(sab)],[66])).
% 0.75/0.72 tff(68,plain,
% 0.75/0.72 (![A: $i] : (l1_struct_0(A) | (~l1_orders_2(A)))),
% 0.75/0.72 inference(modus_ponens,[status(thm)],[67, 60])).
% 0.75/0.72 tff(69,plain,
% 0.75/0.72 (((~![A: $i] : (l1_struct_0(A) | (~l1_orders_2(A)))) | (l1_struct_0(B!1) | (~l1_orders_2(B!1)))) <=> ((~![A: $i] : (l1_struct_0(A) | (~l1_orders_2(A)))) | l1_struct_0(B!1) | (~l1_orders_2(B!1)))),
% 0.75/0.72 inference(rewrite,[status(thm)],[])).
% 0.75/0.72 tff(70,plain,
% 0.75/0.72 ((~![A: $i] : (l1_struct_0(A) | (~l1_orders_2(A)))) | (l1_struct_0(B!1) | (~l1_orders_2(B!1)))),
% 0.75/0.72 inference(quant_inst,[status(thm)],[])).
% 0.75/0.72 tff(71,plain,
% 0.75/0.72 ((~![A: $i] : (l1_struct_0(A) | (~l1_orders_2(A)))) | l1_struct_0(B!1) | (~l1_orders_2(B!1))),
% 0.75/0.72 inference(modus_ponens,[status(thm)],[70, 69])).
% 0.75/0.72 tff(72,plain,
% 0.75/0.72 (l1_struct_0(B!1)),
% 0.75/0.72 inference(unit_resolution,[status(thm)],[71, 29, 68])).
% 0.75/0.72 tff(73,plain,
% 0.75/0.72 (^[A: $i, B: $i] : refl((v3_struct_0(A) | (~m4_yellow_6(B, A)) | (~l1_struct_0(A)) | (~((~v1_pre_topc(k14_yellow_6(A, B))) | (~l1_pre_topc(k14_yellow_6(A, B)))))) <=> (v3_struct_0(A) | (~m4_yellow_6(B, A)) | (~l1_struct_0(A)) | (~((~v1_pre_topc(k14_yellow_6(A, B))) | (~l1_pre_topc(k14_yellow_6(A, B)))))))),
% 0.75/0.72 inference(bind,[status(th)],[])).
% 0.75/0.72 tff(74,plain,
% 0.75/0.72 (![A: $i, B: $i] : (v3_struct_0(A) | (~m4_yellow_6(B, A)) | (~l1_struct_0(A)) | (~((~v1_pre_topc(k14_yellow_6(A, B))) | (~l1_pre_topc(k14_yellow_6(A, B)))))) <=> ![A: $i, B: $i] : (v3_struct_0(A) | (~m4_yellow_6(B, A)) | (~l1_struct_0(A)) | (~((~v1_pre_topc(k14_yellow_6(A, B))) | (~l1_pre_topc(k14_yellow_6(A, B))))))),
% 0.75/0.72 inference(quant_intro,[status(thm)],[73])).
% 0.75/0.72 tff(75,plain,
% 0.75/0.72 (^[A: $i, B: $i] : trans(monotonicity(trans(monotonicity(rewrite(((~v3_struct_0(A)) & l1_struct_0(A) & m4_yellow_6(B, A)) <=> (~(v3_struct_0(A) | (~l1_struct_0(A)) | (~m4_yellow_6(B, A))))), ((~((~v3_struct_0(A)) & l1_struct_0(A) & m4_yellow_6(B, A))) <=> (~(~(v3_struct_0(A) | (~l1_struct_0(A)) | (~m4_yellow_6(B, A))))))), rewrite((~(~(v3_struct_0(A) | (~l1_struct_0(A)) | (~m4_yellow_6(B, A))))) <=> (v3_struct_0(A) | (~l1_struct_0(A)) | (~m4_yellow_6(B, A)))), ((~((~v3_struct_0(A)) & l1_struct_0(A) & m4_yellow_6(B, A))) <=> (v3_struct_0(A) | (~l1_struct_0(A)) | (~m4_yellow_6(B, A))))), rewrite((v1_pre_topc(k14_yellow_6(A, B)) & l1_pre_topc(k14_yellow_6(A, B))) <=> (~((~v1_pre_topc(k14_yellow_6(A, B))) | (~l1_pre_topc(k14_yellow_6(A, B)))))), (((~((~v3_struct_0(A)) & l1_struct_0(A) & m4_yellow_6(B, A))) | (v1_pre_topc(k14_yellow_6(A, B)) & l1_pre_topc(k14_yellow_6(A, B)))) <=> ((v3_struct_0(A) | (~l1_struct_0(A)) | (~m4_yellow_6(B, A))) | (~((~v1_pre_topc(k14_yellow_6(A, B))) | (~l1_pre_topc(k14_yellow_6(A, B)))))))), rewrite(((v3_struct_0(A) | (~l1_struct_0(A)) | (~m4_yellow_6(B, A))) | (~((~v1_pre_topc(k14_yellow_6(A, B))) | (~l1_pre_topc(k14_yellow_6(A, B)))))) <=> (v3_struct_0(A) | (~m4_yellow_6(B, A)) | (~l1_struct_0(A)) | (~((~v1_pre_topc(k14_yellow_6(A, B))) | (~l1_pre_topc(k14_yellow_6(A, B))))))), (((~((~v3_struct_0(A)) & l1_struct_0(A) & m4_yellow_6(B, A))) | (v1_pre_topc(k14_yellow_6(A, B)) & l1_pre_topc(k14_yellow_6(A, B)))) <=> (v3_struct_0(A) | (~m4_yellow_6(B, A)) | (~l1_struct_0(A)) | (~((~v1_pre_topc(k14_yellow_6(A, B))) | (~l1_pre_topc(k14_yellow_6(A, B))))))))),
% 0.75/0.72 inference(bind,[status(th)],[])).
% 0.75/0.72 tff(76,plain,
% 0.75/0.72 (![A: $i, B: $i] : ((~((~v3_struct_0(A)) & l1_struct_0(A) & m4_yellow_6(B, A))) | (v1_pre_topc(k14_yellow_6(A, B)) & l1_pre_topc(k14_yellow_6(A, B)))) <=> ![A: $i, B: $i] : (v3_struct_0(A) | (~m4_yellow_6(B, A)) | (~l1_struct_0(A)) | (~((~v1_pre_topc(k14_yellow_6(A, B))) | (~l1_pre_topc(k14_yellow_6(A, B))))))),
% 0.75/0.72 inference(quant_intro,[status(thm)],[75])).
% 0.75/0.72 tff(77,plain,
% 0.75/0.72 (![A: $i, B: $i] : ((~((~v3_struct_0(A)) & l1_struct_0(A) & m4_yellow_6(B, A))) | (v1_pre_topc(k14_yellow_6(A, B)) & l1_pre_topc(k14_yellow_6(A, B)))) <=> ![A: $i, B: $i] : ((~((~v3_struct_0(A)) & l1_struct_0(A) & m4_yellow_6(B, A))) | (v1_pre_topc(k14_yellow_6(A, B)) & l1_pre_topc(k14_yellow_6(A, B))))),
% 0.75/0.72 inference(rewrite,[status(thm)],[])).
% 0.75/0.72 tff(78,plain,
% 0.75/0.72 (^[A: $i, B: $i] : trans(monotonicity(rewrite((((~v3_struct_0(A)) & l1_struct_0(A)) & m4_yellow_6(B, A)) <=> ((~v3_struct_0(A)) & l1_struct_0(A) & m4_yellow_6(B, A))), (((((~v3_struct_0(A)) & l1_struct_0(A)) & m4_yellow_6(B, A)) => (v1_pre_topc(k14_yellow_6(A, B)) & l1_pre_topc(k14_yellow_6(A, B)))) <=> (((~v3_struct_0(A)) & l1_struct_0(A) & m4_yellow_6(B, A)) => (v1_pre_topc(k14_yellow_6(A, B)) & l1_pre_topc(k14_yellow_6(A, B)))))), rewrite((((~v3_struct_0(A)) & l1_struct_0(A) & m4_yellow_6(B, A)) => (v1_pre_topc(k14_yellow_6(A, B)) & l1_pre_topc(k14_yellow_6(A, B)))) <=> ((~((~v3_struct_0(A)) & l1_struct_0(A) & m4_yellow_6(B, A))) | (v1_pre_topc(k14_yellow_6(A, B)) & l1_pre_topc(k14_yellow_6(A, B))))), (((((~v3_struct_0(A)) & l1_struct_0(A)) & m4_yellow_6(B, A)) => (v1_pre_topc(k14_yellow_6(A, B)) & l1_pre_topc(k14_yellow_6(A, B)))) <=> ((~((~v3_struct_0(A)) & l1_struct_0(A) & m4_yellow_6(B, A))) | (v1_pre_topc(k14_yellow_6(A, B)) & l1_pre_topc(k14_yellow_6(A, B))))))),
% 0.75/0.72 inference(bind,[status(th)],[])).
% 0.75/0.72 tff(79,plain,
% 0.75/0.72 (![A: $i, B: $i] : ((((~v3_struct_0(A)) & l1_struct_0(A)) & m4_yellow_6(B, A)) => (v1_pre_topc(k14_yellow_6(A, B)) & l1_pre_topc(k14_yellow_6(A, B)))) <=> ![A: $i, B: $i] : ((~((~v3_struct_0(A)) & l1_struct_0(A) & m4_yellow_6(B, A))) | (v1_pre_topc(k14_yellow_6(A, B)) & l1_pre_topc(k14_yellow_6(A, B))))),
% 0.75/0.72 inference(quant_intro,[status(thm)],[78])).
% 0.75/0.72 tff(80,axiom,(![A: $i, B: $i] : ((((~v3_struct_0(A)) & l1_struct_0(A)) & m4_yellow_6(B, A)) => (v1_pre_topc(k14_yellow_6(A, B)) & l1_pre_topc(k14_yellow_6(A, B))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','dt_k14_yellow_6')).
% 0.75/0.72 tff(81,plain,
% 0.75/0.72 (![A: $i, B: $i] : ((~((~v3_struct_0(A)) & l1_struct_0(A) & m4_yellow_6(B, A))) | (v1_pre_topc(k14_yellow_6(A, B)) & l1_pre_topc(k14_yellow_6(A, B))))),
% 0.75/0.72 inference(modus_ponens,[status(thm)],[80, 79])).
% 0.75/0.72 tff(82,plain,
% 0.75/0.72 (![A: $i, B: $i] : ((~((~v3_struct_0(A)) & l1_struct_0(A) & m4_yellow_6(B, A))) | (v1_pre_topc(k14_yellow_6(A, B)) & l1_pre_topc(k14_yellow_6(A, B))))),
% 0.75/0.72 inference(modus_ponens,[status(thm)],[81, 77])).
% 0.75/0.72 tff(83,plain,(
% 0.75/0.72 ![A: $i, B: $i] : ((~((~v3_struct_0(A)) & l1_struct_0(A) & m4_yellow_6(B, A))) | (v1_pre_topc(k14_yellow_6(A, B)) & l1_pre_topc(k14_yellow_6(A, B))))),
% 0.75/0.72 inference(skolemize,[status(sab)],[82])).
% 0.75/0.72 tff(84,plain,
% 0.75/0.72 (![A: $i, B: $i] : (v3_struct_0(A) | (~m4_yellow_6(B, A)) | (~l1_struct_0(A)) | (~((~v1_pre_topc(k14_yellow_6(A, B))) | (~l1_pre_topc(k14_yellow_6(A, B))))))),
% 0.75/0.72 inference(modus_ponens,[status(thm)],[83, 76])).
% 0.75/0.72 tff(85,plain,
% 0.75/0.72 (![A: $i, B: $i] : (v3_struct_0(A) | (~m4_yellow_6(B, A)) | (~l1_struct_0(A)) | (~((~v1_pre_topc(k14_yellow_6(A, B))) | (~l1_pre_topc(k14_yellow_6(A, B))))))),
% 0.75/0.72 inference(modus_ponens,[status(thm)],[84, 74])).
% 0.75/0.72 tff(86,plain,
% 0.75/0.72 (((~![A: $i, B: $i] : (v3_struct_0(A) | (~m4_yellow_6(B, A)) | (~l1_struct_0(A)) | (~((~v1_pre_topc(k14_yellow_6(A, B))) | (~l1_pre_topc(k14_yellow_6(A, B))))))) | (v3_struct_0(B!1) | (~l1_struct_0(B!1)) | (~m4_yellow_6(k3_waybel28(B!1), B!1)) | (~((~v1_pre_topc(k14_yellow_6(B!1, k3_waybel28(B!1)))) | (~l1_pre_topc(k14_yellow_6(B!1, k3_waybel28(B!1)))))))) <=> ((~![A: $i, B: $i] : (v3_struct_0(A) | (~m4_yellow_6(B, A)) | (~l1_struct_0(A)) | (~((~v1_pre_topc(k14_yellow_6(A, B))) | (~l1_pre_topc(k14_yellow_6(A, B))))))) | v3_struct_0(B!1) | (~l1_struct_0(B!1)) | (~m4_yellow_6(k3_waybel28(B!1), B!1)) | (~((~v1_pre_topc(k14_yellow_6(B!1, k3_waybel28(B!1)))) | (~l1_pre_topc(k14_yellow_6(B!1, k3_waybel28(B!1)))))))),
% 0.75/0.72 inference(rewrite,[status(thm)],[])).
% 0.75/0.72 tff(87,plain,
% 0.75/0.72 ((v3_struct_0(B!1) | (~m4_yellow_6(k3_waybel28(B!1), B!1)) | (~l1_struct_0(B!1)) | (~((~v1_pre_topc(k14_yellow_6(B!1, k3_waybel28(B!1)))) | (~l1_pre_topc(k14_yellow_6(B!1, k3_waybel28(B!1))))))) <=> (v3_struct_0(B!1) | (~l1_struct_0(B!1)) | (~m4_yellow_6(k3_waybel28(B!1), B!1)) | (~((~v1_pre_topc(k14_yellow_6(B!1, k3_waybel28(B!1)))) | (~l1_pre_topc(k14_yellow_6(B!1, k3_waybel28(B!1)))))))),
% 0.75/0.72 inference(rewrite,[status(thm)],[])).
% 0.75/0.72 tff(88,plain,
% 0.75/0.72 ((~((~v1_pre_topc(k14_yellow_6(B!1, k3_waybel28(B!1)))) | (~l1_pre_topc(k14_yellow_6(B!1, k3_waybel28(B!1)))))) <=> (~((~v1_pre_topc(k14_yellow_6(B!1, k3_waybel28(B!1)))) | (~l1_pre_topc(k14_yellow_6(B!1, k3_waybel28(B!1))))))),
% 0.75/0.72 inference(rewrite,[status(thm)],[])).
% 0.75/0.72 tff(89,plain,
% 0.75/0.72 ((v3_struct_0(B!1) | (~m4_yellow_6(k3_waybel28(B!1), B!1)) | (~l1_struct_0(B!1)) | (~((~v1_pre_topc(k14_yellow_6(B!1, k3_waybel28(B!1)))) | (~l1_pre_topc(k14_yellow_6(B!1, k3_waybel28(B!1))))))) <=> (v3_struct_0(B!1) | (~m4_yellow_6(k3_waybel28(B!1), B!1)) | (~l1_struct_0(B!1)) | (~((~v1_pre_topc(k14_yellow_6(B!1, k3_waybel28(B!1)))) | (~l1_pre_topc(k14_yellow_6(B!1, k3_waybel28(B!1)))))))),
% 0.75/0.72 inference(monotonicity,[status(thm)],[88])).
% 0.75/0.72 tff(90,plain,
% 0.75/0.72 ((v3_struct_0(B!1) | (~m4_yellow_6(k3_waybel28(B!1), B!1)) | (~l1_struct_0(B!1)) | (~((~v1_pre_topc(k14_yellow_6(B!1, k3_waybel28(B!1)))) | (~l1_pre_topc(k14_yellow_6(B!1, k3_waybel28(B!1))))))) <=> (v3_struct_0(B!1) | (~l1_struct_0(B!1)) | (~m4_yellow_6(k3_waybel28(B!1), B!1)) | (~((~v1_pre_topc(k14_yellow_6(B!1, k3_waybel28(B!1)))) | (~l1_pre_topc(k14_yellow_6(B!1, k3_waybel28(B!1)))))))),
% 0.75/0.72 inference(transitivity,[status(thm)],[89, 87])).
% 0.75/0.72 tff(91,plain,
% 0.75/0.72 (((~![A: $i, B: $i] : (v3_struct_0(A) | (~m4_yellow_6(B, A)) | (~l1_struct_0(A)) | (~((~v1_pre_topc(k14_yellow_6(A, B))) | (~l1_pre_topc(k14_yellow_6(A, B))))))) | (v3_struct_0(B!1) | (~m4_yellow_6(k3_waybel28(B!1), B!1)) | (~l1_struct_0(B!1)) | (~((~v1_pre_topc(k14_yellow_6(B!1, k3_waybel28(B!1)))) | (~l1_pre_topc(k14_yellow_6(B!1, k3_waybel28(B!1)))))))) <=> ((~![A: $i, B: $i] : (v3_struct_0(A) | (~m4_yellow_6(B, A)) | (~l1_struct_0(A)) | (~((~v1_pre_topc(k14_yellow_6(A, B))) | (~l1_pre_topc(k14_yellow_6(A, B))))))) | (v3_struct_0(B!1) | (~l1_struct_0(B!1)) | (~m4_yellow_6(k3_waybel28(B!1), B!1)) | (~((~v1_pre_topc(k14_yellow_6(B!1, k3_waybel28(B!1)))) | (~l1_pre_topc(k14_yellow_6(B!1, k3_waybel28(B!1))))))))),
% 0.75/0.72 inference(monotonicity,[status(thm)],[90])).
% 0.75/0.72 tff(92,plain,
% 0.75/0.72 (((~![A: $i, B: $i] : (v3_struct_0(A) | (~m4_yellow_6(B, A)) | (~l1_struct_0(A)) | (~((~v1_pre_topc(k14_yellow_6(A, B))) | (~l1_pre_topc(k14_yellow_6(A, B))))))) | (v3_struct_0(B!1) | (~m4_yellow_6(k3_waybel28(B!1), B!1)) | (~l1_struct_0(B!1)) | (~((~v1_pre_topc(k14_yellow_6(B!1, k3_waybel28(B!1)))) | (~l1_pre_topc(k14_yellow_6(B!1, k3_waybel28(B!1)))))))) <=> ((~![A: $i, B: $i] : (v3_struct_0(A) | (~m4_yellow_6(B, A)) | (~l1_struct_0(A)) | (~((~v1_pre_topc(k14_yellow_6(A, B))) | (~l1_pre_topc(k14_yellow_6(A, B))))))) | v3_struct_0(B!1) | (~l1_struct_0(B!1)) | (~m4_yellow_6(k3_waybel28(B!1), B!1)) | (~((~v1_pre_topc(k14_yellow_6(B!1, k3_waybel28(B!1)))) | (~l1_pre_topc(k14_yellow_6(B!1, k3_waybel28(B!1)))))))),
% 0.75/0.72 inference(transitivity,[status(thm)],[91, 86])).
% 0.75/0.72 tff(93,plain,
% 0.75/0.72 ((~![A: $i, B: $i] : (v3_struct_0(A) | (~m4_yellow_6(B, A)) | (~l1_struct_0(A)) | (~((~v1_pre_topc(k14_yellow_6(A, B))) | (~l1_pre_topc(k14_yellow_6(A, B))))))) | (v3_struct_0(B!1) | (~m4_yellow_6(k3_waybel28(B!1), B!1)) | (~l1_struct_0(B!1)) | (~((~v1_pre_topc(k14_yellow_6(B!1, k3_waybel28(B!1)))) | (~l1_pre_topc(k14_yellow_6(B!1, k3_waybel28(B!1)))))))),
% 0.75/0.72 inference(quant_inst,[status(thm)],[])).
% 0.75/0.72 tff(94,plain,
% 0.75/0.72 ((~![A: $i, B: $i] : (v3_struct_0(A) | (~m4_yellow_6(B, A)) | (~l1_struct_0(A)) | (~((~v1_pre_topc(k14_yellow_6(A, B))) | (~l1_pre_topc(k14_yellow_6(A, B))))))) | v3_struct_0(B!1) | (~l1_struct_0(B!1)) | (~m4_yellow_6(k3_waybel28(B!1), B!1)) | (~((~v1_pre_topc(k14_yellow_6(B!1, k3_waybel28(B!1)))) | (~l1_pre_topc(k14_yellow_6(B!1, k3_waybel28(B!1))))))),
% 0.75/0.72 inference(modus_ponens,[status(thm)],[93, 92])).
% 0.75/0.72 tff(95,plain,
% 0.75/0.72 ((~m4_yellow_6(k3_waybel28(B!1), B!1)) | (~((~v1_pre_topc(k14_yellow_6(B!1, k3_waybel28(B!1)))) | (~l1_pre_topc(k14_yellow_6(B!1, k3_waybel28(B!1))))))),
% 0.75/0.72 inference(unit_resolution,[status(thm)],[94, 85, 37, 72])).
% 0.75/0.72 tff(96,plain,
% 0.75/0.72 (~((~v1_pre_topc(k14_yellow_6(B!1, k3_waybel28(B!1)))) | (~l1_pre_topc(k14_yellow_6(B!1, k3_waybel28(B!1)))))),
% 0.75/0.72 inference(unit_resolution,[status(thm)],[95, 58])).
% 0.75/0.72 tff(97,plain,
% 0.75/0.72 (((~v1_pre_topc(k14_yellow_6(B!1, k3_waybel28(B!1)))) | (~l1_pre_topc(k14_yellow_6(B!1, k3_waybel28(B!1))))) | l1_pre_topc(k14_yellow_6(B!1, k3_waybel28(B!1)))),
% 0.75/0.72 inference(tautology,[status(thm)],[])).
% 0.75/0.72 tff(98,plain,
% 0.75/0.72 (l1_pre_topc(k14_yellow_6(B!1, k3_waybel28(B!1)))),
% 0.75/0.72 inference(unit_resolution,[status(thm)],[97, 96])).
% 0.75/0.72 tff(99,plain,
% 0.75/0.72 (^[A: $i, B: $i] : refl((v3_struct_0(A) | (~m4_yellow_6(B, A)) | (~l1_struct_0(A)) | (~(v3_struct_0(k14_yellow_6(A, B)) | (~v1_pre_topc(k14_yellow_6(A, B))) | (~v2_pre_topc(k14_yellow_6(A, B)))))) <=> (v3_struct_0(A) | (~m4_yellow_6(B, A)) | (~l1_struct_0(A)) | (~(v3_struct_0(k14_yellow_6(A, B)) | (~v1_pre_topc(k14_yellow_6(A, B))) | (~v2_pre_topc(k14_yellow_6(A, B)))))))),
% 0.75/0.72 inference(bind,[status(th)],[])).
% 0.75/0.72 tff(100,plain,
% 0.75/0.72 (![A: $i, B: $i] : (v3_struct_0(A) | (~m4_yellow_6(B, A)) | (~l1_struct_0(A)) | (~(v3_struct_0(k14_yellow_6(A, B)) | (~v1_pre_topc(k14_yellow_6(A, B))) | (~v2_pre_topc(k14_yellow_6(A, B)))))) <=> ![A: $i, B: $i] : (v3_struct_0(A) | (~m4_yellow_6(B, A)) | (~l1_struct_0(A)) | (~(v3_struct_0(k14_yellow_6(A, B)) | (~v1_pre_topc(k14_yellow_6(A, B))) | (~v2_pre_topc(k14_yellow_6(A, B))))))),
% 0.75/0.72 inference(quant_intro,[status(thm)],[99])).
% 0.75/0.72 tff(101,plain,
% 0.75/0.72 (^[A: $i, B: $i] : trans(monotonicity(trans(monotonicity(rewrite(((~v3_struct_0(A)) & l1_struct_0(A) & m4_yellow_6(B, A)) <=> (~(v3_struct_0(A) | (~l1_struct_0(A)) | (~m4_yellow_6(B, A))))), ((~((~v3_struct_0(A)) & l1_struct_0(A) & m4_yellow_6(B, A))) <=> (~(~(v3_struct_0(A) | (~l1_struct_0(A)) | (~m4_yellow_6(B, A))))))), rewrite((~(~(v3_struct_0(A) | (~l1_struct_0(A)) | (~m4_yellow_6(B, A))))) <=> (v3_struct_0(A) | (~l1_struct_0(A)) | (~m4_yellow_6(B, A)))), ((~((~v3_struct_0(A)) & l1_struct_0(A) & m4_yellow_6(B, A))) <=> (v3_struct_0(A) | (~l1_struct_0(A)) | (~m4_yellow_6(B, A))))), rewrite(((~v3_struct_0(k14_yellow_6(A, B))) & v1_pre_topc(k14_yellow_6(A, B)) & v2_pre_topc(k14_yellow_6(A, B))) <=> (~(v3_struct_0(k14_yellow_6(A, B)) | (~v1_pre_topc(k14_yellow_6(A, B))) | (~v2_pre_topc(k14_yellow_6(A, B)))))), (((~((~v3_struct_0(A)) & l1_struct_0(A) & m4_yellow_6(B, A))) | ((~v3_struct_0(k14_yellow_6(A, B))) & v1_pre_topc(k14_yellow_6(A, B)) & v2_pre_topc(k14_yellow_6(A, B)))) <=> ((v3_struct_0(A) | (~l1_struct_0(A)) | (~m4_yellow_6(B, A))) | (~(v3_struct_0(k14_yellow_6(A, B)) | (~v1_pre_topc(k14_yellow_6(A, B))) | (~v2_pre_topc(k14_yellow_6(A, B)))))))), rewrite(((v3_struct_0(A) | (~l1_struct_0(A)) | (~m4_yellow_6(B, A))) | (~(v3_struct_0(k14_yellow_6(A, B)) | (~v1_pre_topc(k14_yellow_6(A, B))) | (~v2_pre_topc(k14_yellow_6(A, B)))))) <=> (v3_struct_0(A) | (~m4_yellow_6(B, A)) | (~l1_struct_0(A)) | (~(v3_struct_0(k14_yellow_6(A, B)) | (~v1_pre_topc(k14_yellow_6(A, B))) | (~v2_pre_topc(k14_yellow_6(A, B))))))), (((~((~v3_struct_0(A)) & l1_struct_0(A) & m4_yellow_6(B, A))) | ((~v3_struct_0(k14_yellow_6(A, B))) & v1_pre_topc(k14_yellow_6(A, B)) & v2_pre_topc(k14_yellow_6(A, B)))) <=> (v3_struct_0(A) | (~m4_yellow_6(B, A)) | (~l1_struct_0(A)) | (~(v3_struct_0(k14_yellow_6(A, B)) | (~v1_pre_topc(k14_yellow_6(A, B))) | (~v2_pre_topc(k14_yellow_6(A, B))))))))),
% 0.75/0.72 inference(bind,[status(th)],[])).
% 0.75/0.72 tff(102,plain,
% 0.75/0.72 (![A: $i, B: $i] : ((~((~v3_struct_0(A)) & l1_struct_0(A) & m4_yellow_6(B, A))) | ((~v3_struct_0(k14_yellow_6(A, B))) & v1_pre_topc(k14_yellow_6(A, B)) & v2_pre_topc(k14_yellow_6(A, B)))) <=> ![A: $i, B: $i] : (v3_struct_0(A) | (~m4_yellow_6(B, A)) | (~l1_struct_0(A)) | (~(v3_struct_0(k14_yellow_6(A, B)) | (~v1_pre_topc(k14_yellow_6(A, B))) | (~v2_pre_topc(k14_yellow_6(A, B))))))),
% 0.75/0.72 inference(quant_intro,[status(thm)],[101])).
% 0.75/0.72 tff(103,plain,
% 0.75/0.72 (![A: $i, B: $i] : ((~((~v3_struct_0(A)) & l1_struct_0(A) & m4_yellow_6(B, A))) | ((~v3_struct_0(k14_yellow_6(A, B))) & v1_pre_topc(k14_yellow_6(A, B)) & v2_pre_topc(k14_yellow_6(A, B)))) <=> ![A: $i, B: $i] : ((~((~v3_struct_0(A)) & l1_struct_0(A) & m4_yellow_6(B, A))) | ((~v3_struct_0(k14_yellow_6(A, B))) & v1_pre_topc(k14_yellow_6(A, B)) & v2_pre_topc(k14_yellow_6(A, B))))),
% 0.75/0.72 inference(rewrite,[status(thm)],[])).
% 0.75/0.72 tff(104,plain,
% 0.75/0.72 (^[A: $i, B: $i] : trans(monotonicity(rewrite((((~v3_struct_0(A)) & l1_struct_0(A)) & m4_yellow_6(B, A)) <=> ((~v3_struct_0(A)) & l1_struct_0(A) & m4_yellow_6(B, A))), rewrite((((~v3_struct_0(k14_yellow_6(A, B))) & v1_pre_topc(k14_yellow_6(A, B))) & v2_pre_topc(k14_yellow_6(A, B))) <=> ((~v3_struct_0(k14_yellow_6(A, B))) & v1_pre_topc(k14_yellow_6(A, B)) & v2_pre_topc(k14_yellow_6(A, B)))), (((((~v3_struct_0(A)) & l1_struct_0(A)) & m4_yellow_6(B, A)) => (((~v3_struct_0(k14_yellow_6(A, B))) & v1_pre_topc(k14_yellow_6(A, B))) & v2_pre_topc(k14_yellow_6(A, B)))) <=> (((~v3_struct_0(A)) & l1_struct_0(A) & m4_yellow_6(B, A)) => ((~v3_struct_0(k14_yellow_6(A, B))) & v1_pre_topc(k14_yellow_6(A, B)) & v2_pre_topc(k14_yellow_6(A, B)))))), rewrite((((~v3_struct_0(A)) & l1_struct_0(A) & m4_yellow_6(B, A)) => ((~v3_struct_0(k14_yellow_6(A, B))) & v1_pre_topc(k14_yellow_6(A, B)) & v2_pre_topc(k14_yellow_6(A, B)))) <=> ((~((~v3_struct_0(A)) & l1_struct_0(A) & m4_yellow_6(B, A))) | ((~v3_struct_0(k14_yellow_6(A, B))) & v1_pre_topc(k14_yellow_6(A, B)) & v2_pre_topc(k14_yellow_6(A, B))))), (((((~v3_struct_0(A)) & l1_struct_0(A)) & m4_yellow_6(B, A)) => (((~v3_struct_0(k14_yellow_6(A, B))) & v1_pre_topc(k14_yellow_6(A, B))) & v2_pre_topc(k14_yellow_6(A, B)))) <=> ((~((~v3_struct_0(A)) & l1_struct_0(A) & m4_yellow_6(B, A))) | ((~v3_struct_0(k14_yellow_6(A, B))) & v1_pre_topc(k14_yellow_6(A, B)) & v2_pre_topc(k14_yellow_6(A, B))))))),
% 0.75/0.72 inference(bind,[status(th)],[])).
% 0.75/0.72 tff(105,plain,
% 0.75/0.72 (![A: $i, B: $i] : ((((~v3_struct_0(A)) & l1_struct_0(A)) & m4_yellow_6(B, A)) => (((~v3_struct_0(k14_yellow_6(A, B))) & v1_pre_topc(k14_yellow_6(A, B))) & v2_pre_topc(k14_yellow_6(A, B)))) <=> ![A: $i, B: $i] : ((~((~v3_struct_0(A)) & l1_struct_0(A) & m4_yellow_6(B, A))) | ((~v3_struct_0(k14_yellow_6(A, B))) & v1_pre_topc(k14_yellow_6(A, B)) & v2_pre_topc(k14_yellow_6(A, B))))),
% 0.75/0.72 inference(quant_intro,[status(thm)],[104])).
% 0.75/0.72 tff(106,axiom,(![A: $i, B: $i] : ((((~v3_struct_0(A)) & l1_struct_0(A)) & m4_yellow_6(B, A)) => (((~v3_struct_0(k14_yellow_6(A, B))) & v1_pre_topc(k14_yellow_6(A, B))) & v2_pre_topc(k14_yellow_6(A, B))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','fc25_yellow_6')).
% 0.75/0.72 tff(107,plain,
% 0.75/0.72 (![A: $i, B: $i] : ((~((~v3_struct_0(A)) & l1_struct_0(A) & m4_yellow_6(B, A))) | ((~v3_struct_0(k14_yellow_6(A, B))) & v1_pre_topc(k14_yellow_6(A, B)) & v2_pre_topc(k14_yellow_6(A, B))))),
% 0.75/0.72 inference(modus_ponens,[status(thm)],[106, 105])).
% 0.75/0.72 tff(108,plain,
% 0.75/0.72 (![A: $i, B: $i] : ((~((~v3_struct_0(A)) & l1_struct_0(A) & m4_yellow_6(B, A))) | ((~v3_struct_0(k14_yellow_6(A, B))) & v1_pre_topc(k14_yellow_6(A, B)) & v2_pre_topc(k14_yellow_6(A, B))))),
% 0.75/0.72 inference(modus_ponens,[status(thm)],[107, 103])).
% 0.75/0.72 tff(109,plain,(
% 0.75/0.72 ![A: $i, B: $i] : ((~((~v3_struct_0(A)) & l1_struct_0(A) & m4_yellow_6(B, A))) | ((~v3_struct_0(k14_yellow_6(A, B))) & v1_pre_topc(k14_yellow_6(A, B)) & v2_pre_topc(k14_yellow_6(A, B))))),
% 0.75/0.72 inference(skolemize,[status(sab)],[108])).
% 0.75/0.72 tff(110,plain,
% 0.75/0.72 (![A: $i, B: $i] : (v3_struct_0(A) | (~m4_yellow_6(B, A)) | (~l1_struct_0(A)) | (~(v3_struct_0(k14_yellow_6(A, B)) | (~v1_pre_topc(k14_yellow_6(A, B))) | (~v2_pre_topc(k14_yellow_6(A, B))))))),
% 0.75/0.72 inference(modus_ponens,[status(thm)],[109, 102])).
% 0.75/0.72 tff(111,plain,
% 0.75/0.72 (![A: $i, B: $i] : (v3_struct_0(A) | (~m4_yellow_6(B, A)) | (~l1_struct_0(A)) | (~(v3_struct_0(k14_yellow_6(A, B)) | (~v1_pre_topc(k14_yellow_6(A, B))) | (~v2_pre_topc(k14_yellow_6(A, B))))))),
% 0.75/0.72 inference(modus_ponens,[status(thm)],[110, 100])).
% 0.75/0.72 tff(112,plain,
% 0.75/0.72 (((~![A: $i, B: $i] : (v3_struct_0(A) | (~m4_yellow_6(B, A)) | (~l1_struct_0(A)) | (~(v3_struct_0(k14_yellow_6(A, B)) | (~v1_pre_topc(k14_yellow_6(A, B))) | (~v2_pre_topc(k14_yellow_6(A, B))))))) | (v3_struct_0(B!1) | (~l1_struct_0(B!1)) | (~m4_yellow_6(k3_waybel28(B!1), B!1)) | (~(v3_struct_0(k14_yellow_6(B!1, k3_waybel28(B!1))) | (~v1_pre_topc(k14_yellow_6(B!1, k3_waybel28(B!1)))) | (~v2_pre_topc(k14_yellow_6(B!1, k3_waybel28(B!1)))))))) <=> ((~![A: $i, B: $i] : (v3_struct_0(A) | (~m4_yellow_6(B, A)) | (~l1_struct_0(A)) | (~(v3_struct_0(k14_yellow_6(A, B)) | (~v1_pre_topc(k14_yellow_6(A, B))) | (~v2_pre_topc(k14_yellow_6(A, B))))))) | v3_struct_0(B!1) | (~l1_struct_0(B!1)) | (~m4_yellow_6(k3_waybel28(B!1), B!1)) | (~(v3_struct_0(k14_yellow_6(B!1, k3_waybel28(B!1))) | (~v1_pre_topc(k14_yellow_6(B!1, k3_waybel28(B!1)))) | (~v2_pre_topc(k14_yellow_6(B!1, k3_waybel28(B!1)))))))),
% 0.75/0.72 inference(rewrite,[status(thm)],[])).
% 0.75/0.72 tff(113,plain,
% 0.75/0.72 ((v3_struct_0(B!1) | (~m4_yellow_6(k3_waybel28(B!1), B!1)) | (~l1_struct_0(B!1)) | (~(v3_struct_0(k14_yellow_6(B!1, k3_waybel28(B!1))) | (~v1_pre_topc(k14_yellow_6(B!1, k3_waybel28(B!1)))) | (~v2_pre_topc(k14_yellow_6(B!1, k3_waybel28(B!1))))))) <=> (v3_struct_0(B!1) | (~l1_struct_0(B!1)) | (~m4_yellow_6(k3_waybel28(B!1), B!1)) | (~(v3_struct_0(k14_yellow_6(B!1, k3_waybel28(B!1))) | (~v1_pre_topc(k14_yellow_6(B!1, k3_waybel28(B!1)))) | (~v2_pre_topc(k14_yellow_6(B!1, k3_waybel28(B!1)))))))),
% 0.75/0.72 inference(rewrite,[status(thm)],[])).
% 0.75/0.72 tff(114,plain,
% 0.75/0.72 (((~![A: $i, B: $i] : (v3_struct_0(A) | (~m4_yellow_6(B, A)) | (~l1_struct_0(A)) | (~(v3_struct_0(k14_yellow_6(A, B)) | (~v1_pre_topc(k14_yellow_6(A, B))) | (~v2_pre_topc(k14_yellow_6(A, B))))))) | (v3_struct_0(B!1) | (~m4_yellow_6(k3_waybel28(B!1), B!1)) | (~l1_struct_0(B!1)) | (~(v3_struct_0(k14_yellow_6(B!1, k3_waybel28(B!1))) | (~v1_pre_topc(k14_yellow_6(B!1, k3_waybel28(B!1)))) | (~v2_pre_topc(k14_yellow_6(B!1, k3_waybel28(B!1)))))))) <=> ((~![A: $i, B: $i] : (v3_struct_0(A) | (~m4_yellow_6(B, A)) | (~l1_struct_0(A)) | (~(v3_struct_0(k14_yellow_6(A, B)) | (~v1_pre_topc(k14_yellow_6(A, B))) | (~v2_pre_topc(k14_yellow_6(A, B))))))) | (v3_struct_0(B!1) | (~l1_struct_0(B!1)) | (~m4_yellow_6(k3_waybel28(B!1), B!1)) | (~(v3_struct_0(k14_yellow_6(B!1, k3_waybel28(B!1))) | (~v1_pre_topc(k14_yellow_6(B!1, k3_waybel28(B!1)))) | (~v2_pre_topc(k14_yellow_6(B!1, k3_waybel28(B!1))))))))),
% 0.75/0.72 inference(monotonicity,[status(thm)],[113])).
% 0.75/0.72 tff(115,plain,
% 0.75/0.72 (((~![A: $i, B: $i] : (v3_struct_0(A) | (~m4_yellow_6(B, A)) | (~l1_struct_0(A)) | (~(v3_struct_0(k14_yellow_6(A, B)) | (~v1_pre_topc(k14_yellow_6(A, B))) | (~v2_pre_topc(k14_yellow_6(A, B))))))) | (v3_struct_0(B!1) | (~m4_yellow_6(k3_waybel28(B!1), B!1)) | (~l1_struct_0(B!1)) | (~(v3_struct_0(k14_yellow_6(B!1, k3_waybel28(B!1))) | (~v1_pre_topc(k14_yellow_6(B!1, k3_waybel28(B!1)))) | (~v2_pre_topc(k14_yellow_6(B!1, k3_waybel28(B!1)))))))) <=> ((~![A: $i, B: $i] : (v3_struct_0(A) | (~m4_yellow_6(B, A)) | (~l1_struct_0(A)) | (~(v3_struct_0(k14_yellow_6(A, B)) | (~v1_pre_topc(k14_yellow_6(A, B))) | (~v2_pre_topc(k14_yellow_6(A, B))))))) | v3_struct_0(B!1) | (~l1_struct_0(B!1)) | (~m4_yellow_6(k3_waybel28(B!1), B!1)) | (~(v3_struct_0(k14_yellow_6(B!1, k3_waybel28(B!1))) | (~v1_pre_topc(k14_yellow_6(B!1, k3_waybel28(B!1)))) | (~v2_pre_topc(k14_yellow_6(B!1, k3_waybel28(B!1)))))))),
% 0.75/0.72 inference(transitivity,[status(thm)],[114, 112])).
% 0.75/0.72 tff(116,plain,
% 0.75/0.72 ((~![A: $i, B: $i] : (v3_struct_0(A) | (~m4_yellow_6(B, A)) | (~l1_struct_0(A)) | (~(v3_struct_0(k14_yellow_6(A, B)) | (~v1_pre_topc(k14_yellow_6(A, B))) | (~v2_pre_topc(k14_yellow_6(A, B))))))) | (v3_struct_0(B!1) | (~m4_yellow_6(k3_waybel28(B!1), B!1)) | (~l1_struct_0(B!1)) | (~(v3_struct_0(k14_yellow_6(B!1, k3_waybel28(B!1))) | (~v1_pre_topc(k14_yellow_6(B!1, k3_waybel28(B!1)))) | (~v2_pre_topc(k14_yellow_6(B!1, k3_waybel28(B!1)))))))),
% 0.75/0.72 inference(quant_inst,[status(thm)],[])).
% 0.75/0.72 tff(117,plain,
% 0.75/0.72 ((~![A: $i, B: $i] : (v3_struct_0(A) | (~m4_yellow_6(B, A)) | (~l1_struct_0(A)) | (~(v3_struct_0(k14_yellow_6(A, B)) | (~v1_pre_topc(k14_yellow_6(A, B))) | (~v2_pre_topc(k14_yellow_6(A, B))))))) | v3_struct_0(B!1) | (~l1_struct_0(B!1)) | (~m4_yellow_6(k3_waybel28(B!1), B!1)) | (~(v3_struct_0(k14_yellow_6(B!1, k3_waybel28(B!1))) | (~v1_pre_topc(k14_yellow_6(B!1, k3_waybel28(B!1)))) | (~v2_pre_topc(k14_yellow_6(B!1, k3_waybel28(B!1))))))),
% 0.75/0.72 inference(modus_ponens,[status(thm)],[116, 115])).
% 0.75/0.72 tff(118,plain,
% 0.75/0.72 ((~m4_yellow_6(k3_waybel28(B!1), B!1)) | (~(v3_struct_0(k14_yellow_6(B!1, k3_waybel28(B!1))) | (~v1_pre_topc(k14_yellow_6(B!1, k3_waybel28(B!1)))) | (~v2_pre_topc(k14_yellow_6(B!1, k3_waybel28(B!1))))))),
% 0.75/0.72 inference(unit_resolution,[status(thm)],[117, 111, 37, 72])).
% 0.75/0.72 tff(119,plain,
% 0.75/0.72 (~(v3_struct_0(k14_yellow_6(B!1, k3_waybel28(B!1))) | (~v1_pre_topc(k14_yellow_6(B!1, k3_waybel28(B!1)))) | (~v2_pre_topc(k14_yellow_6(B!1, k3_waybel28(B!1)))))),
% 0.75/0.72 inference(unit_resolution,[status(thm)],[118, 58])).
% 0.75/0.72 tff(120,plain,
% 0.75/0.72 ((v3_struct_0(k14_yellow_6(B!1, k3_waybel28(B!1))) | (~v1_pre_topc(k14_yellow_6(B!1, k3_waybel28(B!1)))) | (~v2_pre_topc(k14_yellow_6(B!1, k3_waybel28(B!1))))) | v1_pre_topc(k14_yellow_6(B!1, k3_waybel28(B!1)))),
% 0.75/0.72 inference(tautology,[status(thm)],[])).
% 0.75/0.72 tff(121,plain,
% 0.75/0.72 (v1_pre_topc(k14_yellow_6(B!1, k3_waybel28(B!1)))),
% 0.75/0.72 inference(unit_resolution,[status(thm)],[120, 119])).
% 0.75/0.72 tff(122,plain,
% 0.75/0.72 (^[A: $i] : refl(((A = g1_pre_topc(u1_struct_0(A), u1_pre_topc(A))) | (~v1_pre_topc(A)) | (~l1_pre_topc(A))) <=> ((A = g1_pre_topc(u1_struct_0(A), u1_pre_topc(A))) | (~v1_pre_topc(A)) | (~l1_pre_topc(A))))),
% 0.75/0.72 inference(bind,[status(th)],[])).
% 0.75/0.72 tff(123,plain,
% 0.75/0.72 (![A: $i] : ((A = g1_pre_topc(u1_struct_0(A), u1_pre_topc(A))) | (~v1_pre_topc(A)) | (~l1_pre_topc(A))) <=> ![A: $i] : ((A = g1_pre_topc(u1_struct_0(A), u1_pre_topc(A))) | (~v1_pre_topc(A)) | (~l1_pre_topc(A)))),
% 0.75/0.72 inference(quant_intro,[status(thm)],[122])).
% 0.75/0.72 tff(124,plain,
% 0.75/0.72 (![A: $i] : ((A = g1_pre_topc(u1_struct_0(A), u1_pre_topc(A))) | (~v1_pre_topc(A)) | (~l1_pre_topc(A))) <=> ![A: $i] : ((A = g1_pre_topc(u1_struct_0(A), u1_pre_topc(A))) | (~v1_pre_topc(A)) | (~l1_pre_topc(A)))),
% 0.75/0.72 inference(rewrite,[status(thm)],[])).
% 0.75/0.72 tff(125,plain,
% 0.75/0.72 (^[A: $i] : trans(monotonicity(rewrite((v1_pre_topc(A) => (A = g1_pre_topc(u1_struct_0(A), u1_pre_topc(A)))) <=> ((~v1_pre_topc(A)) | (A = g1_pre_topc(u1_struct_0(A), u1_pre_topc(A))))), ((l1_pre_topc(A) => (v1_pre_topc(A) => (A = g1_pre_topc(u1_struct_0(A), u1_pre_topc(A))))) <=> (l1_pre_topc(A) => ((~v1_pre_topc(A)) | (A = g1_pre_topc(u1_struct_0(A), u1_pre_topc(A))))))), rewrite((l1_pre_topc(A) => ((~v1_pre_topc(A)) | (A = g1_pre_topc(u1_struct_0(A), u1_pre_topc(A))))) <=> ((A = g1_pre_topc(u1_struct_0(A), u1_pre_topc(A))) | (~v1_pre_topc(A)) | (~l1_pre_topc(A)))), ((l1_pre_topc(A) => (v1_pre_topc(A) => (A = g1_pre_topc(u1_struct_0(A), u1_pre_topc(A))))) <=> ((A = g1_pre_topc(u1_struct_0(A), u1_pre_topc(A))) | (~v1_pre_topc(A)) | (~l1_pre_topc(A)))))),
% 0.75/0.73 inference(bind,[status(th)],[])).
% 0.75/0.73 tff(126,plain,
% 0.75/0.73 (![A: $i] : (l1_pre_topc(A) => (v1_pre_topc(A) => (A = g1_pre_topc(u1_struct_0(A), u1_pre_topc(A))))) <=> ![A: $i] : ((A = g1_pre_topc(u1_struct_0(A), u1_pre_topc(A))) | (~v1_pre_topc(A)) | (~l1_pre_topc(A)))),
% 0.75/0.73 inference(quant_intro,[status(thm)],[125])).
% 0.75/0.73 tff(127,axiom,(![A: $i] : (l1_pre_topc(A) => (v1_pre_topc(A) => (A = g1_pre_topc(u1_struct_0(A), u1_pre_topc(A)))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','abstractness_v1_pre_topc')).
% 0.75/0.73 tff(128,plain,
% 0.75/0.73 (![A: $i] : ((A = g1_pre_topc(u1_struct_0(A), u1_pre_topc(A))) | (~v1_pre_topc(A)) | (~l1_pre_topc(A)))),
% 0.75/0.73 inference(modus_ponens,[status(thm)],[127, 126])).
% 0.75/0.73 tff(129,plain,
% 0.75/0.73 (![A: $i] : ((A = g1_pre_topc(u1_struct_0(A), u1_pre_topc(A))) | (~v1_pre_topc(A)) | (~l1_pre_topc(A)))),
% 0.75/0.73 inference(modus_ponens,[status(thm)],[128, 124])).
% 0.75/0.73 tff(130,plain,(
% 0.75/0.73 ![A: $i] : ((A = g1_pre_topc(u1_struct_0(A), u1_pre_topc(A))) | (~v1_pre_topc(A)) | (~l1_pre_topc(A)))),
% 0.75/0.73 inference(skolemize,[status(sab)],[129])).
% 0.75/0.73 tff(131,plain,
% 0.75/0.73 (![A: $i] : ((A = g1_pre_topc(u1_struct_0(A), u1_pre_topc(A))) | (~v1_pre_topc(A)) | (~l1_pre_topc(A)))),
% 0.75/0.73 inference(modus_ponens,[status(thm)],[130, 123])).
% 0.75/0.73 tff(132,plain,
% 0.75/0.73 (((~![A: $i] : ((A = g1_pre_topc(u1_struct_0(A), u1_pre_topc(A))) | (~v1_pre_topc(A)) | (~l1_pre_topc(A)))) | ((~v1_pre_topc(k14_yellow_6(B!1, k3_waybel28(B!1)))) | (~l1_pre_topc(k14_yellow_6(B!1, k3_waybel28(B!1)))) | (k14_yellow_6(B!1, k3_waybel28(B!1)) = g1_pre_topc(u1_struct_0(k14_yellow_6(B!1, k3_waybel28(B!1))), u1_pre_topc(k14_yellow_6(B!1, k3_waybel28(B!1))))))) <=> ((~![A: $i] : ((A = g1_pre_topc(u1_struct_0(A), u1_pre_topc(A))) | (~v1_pre_topc(A)) | (~l1_pre_topc(A)))) | (~v1_pre_topc(k14_yellow_6(B!1, k3_waybel28(B!1)))) | (~l1_pre_topc(k14_yellow_6(B!1, k3_waybel28(B!1)))) | (k14_yellow_6(B!1, k3_waybel28(B!1)) = g1_pre_topc(u1_struct_0(k14_yellow_6(B!1, k3_waybel28(B!1))), u1_pre_topc(k14_yellow_6(B!1, k3_waybel28(B!1))))))),
% 0.75/0.73 inference(rewrite,[status(thm)],[])).
% 0.75/0.73 tff(133,plain,
% 0.75/0.73 (((k14_yellow_6(B!1, k3_waybel28(B!1)) = g1_pre_topc(u1_struct_0(k14_yellow_6(B!1, k3_waybel28(B!1))), u1_pre_topc(k14_yellow_6(B!1, k3_waybel28(B!1))))) | (~v1_pre_topc(k14_yellow_6(B!1, k3_waybel28(B!1)))) | (~l1_pre_topc(k14_yellow_6(B!1, k3_waybel28(B!1))))) <=> ((~v1_pre_topc(k14_yellow_6(B!1, k3_waybel28(B!1)))) | (~l1_pre_topc(k14_yellow_6(B!1, k3_waybel28(B!1)))) | (k14_yellow_6(B!1, k3_waybel28(B!1)) = g1_pre_topc(u1_struct_0(k14_yellow_6(B!1, k3_waybel28(B!1))), u1_pre_topc(k14_yellow_6(B!1, k3_waybel28(B!1))))))),
% 0.75/0.73 inference(rewrite,[status(thm)],[])).
% 0.75/0.73 tff(134,plain,
% 0.75/0.73 (((~![A: $i] : ((A = g1_pre_topc(u1_struct_0(A), u1_pre_topc(A))) | (~v1_pre_topc(A)) | (~l1_pre_topc(A)))) | ((k14_yellow_6(B!1, k3_waybel28(B!1)) = g1_pre_topc(u1_struct_0(k14_yellow_6(B!1, k3_waybel28(B!1))), u1_pre_topc(k14_yellow_6(B!1, k3_waybel28(B!1))))) | (~v1_pre_topc(k14_yellow_6(B!1, k3_waybel28(B!1)))) | (~l1_pre_topc(k14_yellow_6(B!1, k3_waybel28(B!1)))))) <=> ((~![A: $i] : ((A = g1_pre_topc(u1_struct_0(A), u1_pre_topc(A))) | (~v1_pre_topc(A)) | (~l1_pre_topc(A)))) | ((~v1_pre_topc(k14_yellow_6(B!1, k3_waybel28(B!1)))) | (~l1_pre_topc(k14_yellow_6(B!1, k3_waybel28(B!1)))) | (k14_yellow_6(B!1, k3_waybel28(B!1)) = g1_pre_topc(u1_struct_0(k14_yellow_6(B!1, k3_waybel28(B!1))), u1_pre_topc(k14_yellow_6(B!1, k3_waybel28(B!1)))))))),
% 0.75/0.73 inference(monotonicity,[status(thm)],[133])).
% 0.75/0.73 tff(135,plain,
% 0.75/0.73 (((~![A: $i] : ((A = g1_pre_topc(u1_struct_0(A), u1_pre_topc(A))) | (~v1_pre_topc(A)) | (~l1_pre_topc(A)))) | ((k14_yellow_6(B!1, k3_waybel28(B!1)) = g1_pre_topc(u1_struct_0(k14_yellow_6(B!1, k3_waybel28(B!1))), u1_pre_topc(k14_yellow_6(B!1, k3_waybel28(B!1))))) | (~v1_pre_topc(k14_yellow_6(B!1, k3_waybel28(B!1)))) | (~l1_pre_topc(k14_yellow_6(B!1, k3_waybel28(B!1)))))) <=> ((~![A: $i] : ((A = g1_pre_topc(u1_struct_0(A), u1_pre_topc(A))) | (~v1_pre_topc(A)) | (~l1_pre_topc(A)))) | (~v1_pre_topc(k14_yellow_6(B!1, k3_waybel28(B!1)))) | (~l1_pre_topc(k14_yellow_6(B!1, k3_waybel28(B!1)))) | (k14_yellow_6(B!1, k3_waybel28(B!1)) = g1_pre_topc(u1_struct_0(k14_yellow_6(B!1, k3_waybel28(B!1))), u1_pre_topc(k14_yellow_6(B!1, k3_waybel28(B!1))))))),
% 0.75/0.73 inference(transitivity,[status(thm)],[134, 132])).
% 0.75/0.73 tff(136,plain,
% 0.75/0.73 ((~![A: $i] : ((A = g1_pre_topc(u1_struct_0(A), u1_pre_topc(A))) | (~v1_pre_topc(A)) | (~l1_pre_topc(A)))) | ((k14_yellow_6(B!1, k3_waybel28(B!1)) = g1_pre_topc(u1_struct_0(k14_yellow_6(B!1, k3_waybel28(B!1))), u1_pre_topc(k14_yellow_6(B!1, k3_waybel28(B!1))))) | (~v1_pre_topc(k14_yellow_6(B!1, k3_waybel28(B!1)))) | (~l1_pre_topc(k14_yellow_6(B!1, k3_waybel28(B!1)))))),
% 0.75/0.73 inference(quant_inst,[status(thm)],[])).
% 0.75/0.73 tff(137,plain,
% 0.75/0.73 ((~![A: $i] : ((A = g1_pre_topc(u1_struct_0(A), u1_pre_topc(A))) | (~v1_pre_topc(A)) | (~l1_pre_topc(A)))) | (~v1_pre_topc(k14_yellow_6(B!1, k3_waybel28(B!1)))) | (~l1_pre_topc(k14_yellow_6(B!1, k3_waybel28(B!1)))) | (k14_yellow_6(B!1, k3_waybel28(B!1)) = g1_pre_topc(u1_struct_0(k14_yellow_6(B!1, k3_waybel28(B!1))), u1_pre_topc(k14_yellow_6(B!1, k3_waybel28(B!1)))))),
% 0.75/0.73 inference(modus_ponens,[status(thm)],[136, 135])).
% 0.75/0.73 tff(138,plain,
% 0.75/0.73 (k14_yellow_6(B!1, k3_waybel28(B!1)) = g1_pre_topc(u1_struct_0(k14_yellow_6(B!1, k3_waybel28(B!1))), u1_pre_topc(k14_yellow_6(B!1, k3_waybel28(B!1))))),
% 0.75/0.73 inference(unit_resolution,[status(thm)],[137, 131, 121, 98])).
% 0.75/0.73 tff(139,plain,
% 0.75/0.73 (g1_pre_topc(u1_struct_0(k14_yellow_6(B!1, k3_waybel28(B!1))), u1_pre_topc(k14_yellow_6(B!1, k3_waybel28(B!1)))) = k14_yellow_6(B!1, k3_waybel28(B!1))),
% 0.75/0.73 inference(symmetry,[status(thm)],[138])).
% 0.75/0.73 tff(140,plain,
% 0.75/0.73 (^[A: $i, B: $i] : refl(((A = B) <=> (~((~r1_tarski(A, B)) | (~r1_tarski(B, A))))) <=> ((A = B) <=> (~((~r1_tarski(A, B)) | (~r1_tarski(B, A))))))),
% 0.75/0.73 inference(bind,[status(th)],[])).
% 0.75/0.73 tff(141,plain,
% 0.75/0.73 (![A: $i, B: $i] : ((A = B) <=> (~((~r1_tarski(A, B)) | (~r1_tarski(B, A))))) <=> ![A: $i, B: $i] : ((A = B) <=> (~((~r1_tarski(A, B)) | (~r1_tarski(B, A)))))),
% 0.75/0.73 inference(quant_intro,[status(thm)],[140])).
% 0.75/0.73 tff(142,plain,
% 0.75/0.73 (^[A: $i, B: $i] : rewrite(((A = B) <=> (r1_tarski(A, B) & r1_tarski(B, A))) <=> ((A = B) <=> (~((~r1_tarski(A, B)) | (~r1_tarski(B, A))))))),
% 0.75/0.73 inference(bind,[status(th)],[])).
% 0.75/0.73 tff(143,plain,
% 0.75/0.73 (![A: $i, B: $i] : ((A = B) <=> (r1_tarski(A, B) & r1_tarski(B, A))) <=> ![A: $i, B: $i] : ((A = B) <=> (~((~r1_tarski(A, B)) | (~r1_tarski(B, A)))))),
% 0.75/0.73 inference(quant_intro,[status(thm)],[142])).
% 0.75/0.73 tff(144,plain,
% 0.75/0.73 (![A: $i, B: $i] : ((A = B) <=> (r1_tarski(A, B) & r1_tarski(B, A))) <=> ![A: $i, B: $i] : ((A = B) <=> (r1_tarski(A, B) & r1_tarski(B, A)))),
% 0.75/0.73 inference(rewrite,[status(thm)],[])).
% 0.75/0.73 tff(145,axiom,(![A: $i, B: $i] : ((A = B) <=> (r1_tarski(A, B) & r1_tarski(B, A)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','d10_xboole_0')).
% 0.75/0.73 tff(146,plain,
% 0.75/0.73 (![A: $i, B: $i] : ((A = B) <=> (r1_tarski(A, B) & r1_tarski(B, A)))),
% 0.75/0.73 inference(modus_ponens,[status(thm)],[145, 144])).
% 0.75/0.73 tff(147,plain,(
% 0.75/0.73 ![A: $i, B: $i] : ((A = B) <=> (r1_tarski(A, B) & r1_tarski(B, A)))),
% 0.75/0.73 inference(skolemize,[status(sab)],[146])).
% 0.75/0.73 tff(148,plain,
% 0.75/0.73 (![A: $i, B: $i] : ((A = B) <=> (~((~r1_tarski(A, B)) | (~r1_tarski(B, A)))))),
% 0.75/0.73 inference(modus_ponens,[status(thm)],[147, 143])).
% 0.75/0.73 tff(149,plain,
% 0.75/0.73 (![A: $i, B: $i] : ((A = B) <=> (~((~r1_tarski(A, B)) | (~r1_tarski(B, A)))))),
% 0.75/0.73 inference(modus_ponens,[status(thm)],[148, 141])).
% 0.75/0.73 tff(150,plain,
% 0.75/0.73 (((~![A: $i, B: $i] : ((A = B) <=> (~((~r1_tarski(A, B)) | (~r1_tarski(B, A)))))) | ((u1_pre_topc(k14_yellow_6(B!1, k3_waybel28(B!1))) = u1_pre_topc(k14_yellow_6(A!0, k3_waybel28(A!0)))) <=> (~((~r1_tarski(u1_pre_topc(k14_yellow_6(A!0, k3_waybel28(A!0))), u1_pre_topc(k14_yellow_6(B!1, k3_waybel28(B!1))))) | (~r1_tarski(u1_pre_topc(k14_yellow_6(B!1, k3_waybel28(B!1))), u1_pre_topc(k14_yellow_6(A!0, k3_waybel28(A!0))))))))) <=> ((~![A: $i, B: $i] : ((A = B) <=> (~((~r1_tarski(A, B)) | (~r1_tarski(B, A)))))) | ((u1_pre_topc(k14_yellow_6(B!1, k3_waybel28(B!1))) = u1_pre_topc(k14_yellow_6(A!0, k3_waybel28(A!0)))) <=> (~((~r1_tarski(u1_pre_topc(k14_yellow_6(A!0, k3_waybel28(A!0))), u1_pre_topc(k14_yellow_6(B!1, k3_waybel28(B!1))))) | (~r1_tarski(u1_pre_topc(k14_yellow_6(B!1, k3_waybel28(B!1))), u1_pre_topc(k14_yellow_6(A!0, k3_waybel28(A!0)))))))))),
% 0.75/0.73 inference(rewrite,[status(thm)],[])).
% 0.75/0.73 tff(151,plain,
% 0.75/0.73 (((u1_pre_topc(k14_yellow_6(B!1, k3_waybel28(B!1))) = u1_pre_topc(k14_yellow_6(A!0, k3_waybel28(A!0)))) <=> (~((~r1_tarski(u1_pre_topc(k14_yellow_6(B!1, k3_waybel28(B!1))), u1_pre_topc(k14_yellow_6(A!0, k3_waybel28(A!0))))) | (~r1_tarski(u1_pre_topc(k14_yellow_6(A!0, k3_waybel28(A!0))), u1_pre_topc(k14_yellow_6(B!1, k3_waybel28(B!1)))))))) <=> ((u1_pre_topc(k14_yellow_6(B!1, k3_waybel28(B!1))) = u1_pre_topc(k14_yellow_6(A!0, k3_waybel28(A!0)))) <=> (~((~r1_tarski(u1_pre_topc(k14_yellow_6(A!0, k3_waybel28(A!0))), u1_pre_topc(k14_yellow_6(B!1, k3_waybel28(B!1))))) | (~r1_tarski(u1_pre_topc(k14_yellow_6(B!1, k3_waybel28(B!1))), u1_pre_topc(k14_yellow_6(A!0, k3_waybel28(A!0))))))))),
% 0.75/0.73 inference(rewrite,[status(thm)],[])).
% 0.75/0.73 tff(152,plain,
% 0.75/0.73 (((~![A: $i, B: $i] : ((A = B) <=> (~((~r1_tarski(A, B)) | (~r1_tarski(B, A)))))) | ((u1_pre_topc(k14_yellow_6(B!1, k3_waybel28(B!1))) = u1_pre_topc(k14_yellow_6(A!0, k3_waybel28(A!0)))) <=> (~((~r1_tarski(u1_pre_topc(k14_yellow_6(B!1, k3_waybel28(B!1))), u1_pre_topc(k14_yellow_6(A!0, k3_waybel28(A!0))))) | (~r1_tarski(u1_pre_topc(k14_yellow_6(A!0, k3_waybel28(A!0))), u1_pre_topc(k14_yellow_6(B!1, k3_waybel28(B!1))))))))) <=> ((~![A: $i, B: $i] : ((A = B) <=> (~((~r1_tarski(A, B)) | (~r1_tarski(B, A)))))) | ((u1_pre_topc(k14_yellow_6(B!1, k3_waybel28(B!1))) = u1_pre_topc(k14_yellow_6(A!0, k3_waybel28(A!0)))) <=> (~((~r1_tarski(u1_pre_topc(k14_yellow_6(A!0, k3_waybel28(A!0))), u1_pre_topc(k14_yellow_6(B!1, k3_waybel28(B!1))))) | (~r1_tarski(u1_pre_topc(k14_yellow_6(B!1, k3_waybel28(B!1))), u1_pre_topc(k14_yellow_6(A!0, k3_waybel28(A!0)))))))))),
% 0.75/0.73 inference(monotonicity,[status(thm)],[151])).
% 0.75/0.73 tff(153,plain,
% 0.75/0.73 (((~![A: $i, B: $i] : ((A = B) <=> (~((~r1_tarski(A, B)) | (~r1_tarski(B, A)))))) | ((u1_pre_topc(k14_yellow_6(B!1, k3_waybel28(B!1))) = u1_pre_topc(k14_yellow_6(A!0, k3_waybel28(A!0)))) <=> (~((~r1_tarski(u1_pre_topc(k14_yellow_6(B!1, k3_waybel28(B!1))), u1_pre_topc(k14_yellow_6(A!0, k3_waybel28(A!0))))) | (~r1_tarski(u1_pre_topc(k14_yellow_6(A!0, k3_waybel28(A!0))), u1_pre_topc(k14_yellow_6(B!1, k3_waybel28(B!1))))))))) <=> ((~![A: $i, B: $i] : ((A = B) <=> (~((~r1_tarski(A, B)) | (~r1_tarski(B, A)))))) | ((u1_pre_topc(k14_yellow_6(B!1, k3_waybel28(B!1))) = u1_pre_topc(k14_yellow_6(A!0, k3_waybel28(A!0)))) <=> (~((~r1_tarski(u1_pre_topc(k14_yellow_6(A!0, k3_waybel28(A!0))), u1_pre_topc(k14_yellow_6(B!1, k3_waybel28(B!1))))) | (~r1_tarski(u1_pre_topc(k14_yellow_6(B!1, k3_waybel28(B!1))), u1_pre_topc(k14_yellow_6(A!0, k3_waybel28(A!0)))))))))),
% 0.75/0.73 inference(transitivity,[status(thm)],[152, 150])).
% 0.75/0.73 tff(154,plain,
% 0.75/0.73 ((~![A: $i, B: $i] : ((A = B) <=> (~((~r1_tarski(A, B)) | (~r1_tarski(B, A)))))) | ((u1_pre_topc(k14_yellow_6(B!1, k3_waybel28(B!1))) = u1_pre_topc(k14_yellow_6(A!0, k3_waybel28(A!0)))) <=> (~((~r1_tarski(u1_pre_topc(k14_yellow_6(B!1, k3_waybel28(B!1))), u1_pre_topc(k14_yellow_6(A!0, k3_waybel28(A!0))))) | (~r1_tarski(u1_pre_topc(k14_yellow_6(A!0, k3_waybel28(A!0))), u1_pre_topc(k14_yellow_6(B!1, k3_waybel28(B!1))))))))),
% 0.75/0.73 inference(quant_inst,[status(thm)],[])).
% 0.75/0.73 tff(155,plain,
% 0.75/0.73 ((~![A: $i, B: $i] : ((A = B) <=> (~((~r1_tarski(A, B)) | (~r1_tarski(B, A)))))) | ((u1_pre_topc(k14_yellow_6(B!1, k3_waybel28(B!1))) = u1_pre_topc(k14_yellow_6(A!0, k3_waybel28(A!0)))) <=> (~((~r1_tarski(u1_pre_topc(k14_yellow_6(A!0, k3_waybel28(A!0))), u1_pre_topc(k14_yellow_6(B!1, k3_waybel28(B!1))))) | (~r1_tarski(u1_pre_topc(k14_yellow_6(B!1, k3_waybel28(B!1))), u1_pre_topc(k14_yellow_6(A!0, k3_waybel28(A!0))))))))),
% 0.75/0.73 inference(modus_ponens,[status(thm)],[154, 153])).
% 0.75/0.73 tff(156,plain,
% 0.75/0.73 ((u1_pre_topc(k14_yellow_6(B!1, k3_waybel28(B!1))) = u1_pre_topc(k14_yellow_6(A!0, k3_waybel28(A!0)))) <=> (~((~r1_tarski(u1_pre_topc(k14_yellow_6(A!0, k3_waybel28(A!0))), u1_pre_topc(k14_yellow_6(B!1, k3_waybel28(B!1))))) | (~r1_tarski(u1_pre_topc(k14_yellow_6(B!1, k3_waybel28(B!1))), u1_pre_topc(k14_yellow_6(A!0, k3_waybel28(A!0)))))))),
% 0.75/0.73 inference(unit_resolution,[status(thm)],[155, 149])).
% 0.75/0.73 tff(157,plain,
% 0.75/0.73 (^[A: $i] : refl(((~l1_orders_2(A)) | (~v2_lattice3(A)) | (~v2_orders_2(A)) | (~v25_waybel_0(A)) | (~v4_orders_2(A)) | (~v3_orders_2(A)) | (~v24_waybel_0(A)) | ![B: $i] : (r1_tarski(u1_pre_topc(k14_yellow_6(A, k3_waybel28(A))), u1_pre_topc(k14_yellow_6(B, k3_waybel28(B)))) | (~l1_orders_2(B)) | (~(g1_orders_2(u1_struct_0(A), u1_orders_2(A)) = g1_orders_2(u1_struct_0(B), u1_orders_2(B)))) | (~v2_lattice3(B)) | (~v2_orders_2(B)) | (~v25_waybel_0(B)) | (~v4_orders_2(B)) | (~v3_orders_2(B)) | (~v24_waybel_0(B)))) <=> ((~l1_orders_2(A)) | (~v2_lattice3(A)) | (~v2_orders_2(A)) | (~v25_waybel_0(A)) | (~v4_orders_2(A)) | (~v3_orders_2(A)) | (~v24_waybel_0(A)) | ![B: $i] : (r1_tarski(u1_pre_topc(k14_yellow_6(A, k3_waybel28(A))), u1_pre_topc(k14_yellow_6(B, k3_waybel28(B)))) | (~l1_orders_2(B)) | (~(g1_orders_2(u1_struct_0(A), u1_orders_2(A)) = g1_orders_2(u1_struct_0(B), u1_orders_2(B)))) | (~v2_lattice3(B)) | (~v2_orders_2(B)) | (~v25_waybel_0(B)) | (~v4_orders_2(B)) | (~v3_orders_2(B)) | (~v24_waybel_0(B)))))),
% 0.75/0.73 inference(bind,[status(th)],[])).
% 0.75/0.73 tff(158,plain,
% 0.75/0.73 (![A: $i] : ((~l1_orders_2(A)) | (~v2_lattice3(A)) | (~v2_orders_2(A)) | (~v25_waybel_0(A)) | (~v4_orders_2(A)) | (~v3_orders_2(A)) | (~v24_waybel_0(A)) | ![B: $i] : (r1_tarski(u1_pre_topc(k14_yellow_6(A, k3_waybel28(A))), u1_pre_topc(k14_yellow_6(B, k3_waybel28(B)))) | (~l1_orders_2(B)) | (~(g1_orders_2(u1_struct_0(A), u1_orders_2(A)) = g1_orders_2(u1_struct_0(B), u1_orders_2(B)))) | (~v2_lattice3(B)) | (~v2_orders_2(B)) | (~v25_waybel_0(B)) | (~v4_orders_2(B)) | (~v3_orders_2(B)) | (~v24_waybel_0(B)))) <=> ![A: $i] : ((~l1_orders_2(A)) | (~v2_lattice3(A)) | (~v2_orders_2(A)) | (~v25_waybel_0(A)) | (~v4_orders_2(A)) | (~v3_orders_2(A)) | (~v24_waybel_0(A)) | ![B: $i] : (r1_tarski(u1_pre_topc(k14_yellow_6(A, k3_waybel28(A))), u1_pre_topc(k14_yellow_6(B, k3_waybel28(B)))) | (~l1_orders_2(B)) | (~(g1_orders_2(u1_struct_0(A), u1_orders_2(A)) = g1_orders_2(u1_struct_0(B), u1_orders_2(B)))) | (~v2_lattice3(B)) | (~v2_orders_2(B)) | (~v25_waybel_0(B)) | (~v4_orders_2(B)) | (~v3_orders_2(B)) | (~v24_waybel_0(B))))),
% 0.75/0.73 inference(quant_intro,[status(thm)],[157])).
% 0.75/0.73 tff(159,plain,
% 0.75/0.73 (^[A: $i] : rewrite(((~l1_orders_2(A)) | (~v2_lattice3(A)) | (~v2_orders_2(A)) | (~v25_waybel_0(A)) | (~v4_orders_2(A)) | (~v3_orders_2(A)) | (~v24_waybel_0(A)) | ![B: $i] : (r1_tarski(u1_pre_topc(k14_yellow_6(A, k3_waybel28(A))), u1_pre_topc(k14_yellow_6(B, k3_waybel28(B)))) | (~l1_orders_2(B)) | (~(g1_orders_2(u1_struct_0(A), u1_orders_2(A)) = g1_orders_2(u1_struct_0(B), u1_orders_2(B)))) | (~v2_lattice3(B)) | (~v2_orders_2(B)) | (~v25_waybel_0(B)) | (~v4_orders_2(B)) | (~v3_orders_2(B)) | (~v24_waybel_0(B)))) <=> ((~l1_orders_2(A)) | (~v2_lattice3(A)) | (~v2_orders_2(A)) | (~v25_waybel_0(A)) | (~v4_orders_2(A)) | (~v3_orders_2(A)) | (~v24_waybel_0(A)) | ![B: $i] : (r1_tarski(u1_pre_topc(k14_yellow_6(A, k3_waybel28(A))), u1_pre_topc(k14_yellow_6(B, k3_waybel28(B)))) | (~l1_orders_2(B)) | (~(g1_orders_2(u1_struct_0(A), u1_orders_2(A)) = g1_orders_2(u1_struct_0(B), u1_orders_2(B)))) | (~v2_lattice3(B)) | (~v2_orders_2(B)) | (~v25_waybel_0(B)) | (~v4_orders_2(B)) | (~v3_orders_2(B)) | (~v24_waybel_0(B)))))),
% 0.75/0.73 inference(bind,[status(th)],[])).
% 0.75/0.73 tff(160,plain,
% 0.75/0.73 (![A: $i] : ((~l1_orders_2(A)) | (~v2_lattice3(A)) | (~v2_orders_2(A)) | (~v25_waybel_0(A)) | (~v4_orders_2(A)) | (~v3_orders_2(A)) | (~v24_waybel_0(A)) | ![B: $i] : (r1_tarski(u1_pre_topc(k14_yellow_6(A, k3_waybel28(A))), u1_pre_topc(k14_yellow_6(B, k3_waybel28(B)))) | (~l1_orders_2(B)) | (~(g1_orders_2(u1_struct_0(A), u1_orders_2(A)) = g1_orders_2(u1_struct_0(B), u1_orders_2(B)))) | (~v2_lattice3(B)) | (~v2_orders_2(B)) | (~v25_waybel_0(B)) | (~v4_orders_2(B)) | (~v3_orders_2(B)) | (~v24_waybel_0(B)))) <=> ![A: $i] : ((~l1_orders_2(A)) | (~v2_lattice3(A)) | (~v2_orders_2(A)) | (~v25_waybel_0(A)) | (~v4_orders_2(A)) | (~v3_orders_2(A)) | (~v24_waybel_0(A)) | ![B: $i] : (r1_tarski(u1_pre_topc(k14_yellow_6(A, k3_waybel28(A))), u1_pre_topc(k14_yellow_6(B, k3_waybel28(B)))) | (~l1_orders_2(B)) | (~(g1_orders_2(u1_struct_0(A), u1_orders_2(A)) = g1_orders_2(u1_struct_0(B), u1_orders_2(B)))) | (~v2_lattice3(B)) | (~v2_orders_2(B)) | (~v25_waybel_0(B)) | (~v4_orders_2(B)) | (~v3_orders_2(B)) | (~v24_waybel_0(B))))),
% 0.75/0.73 inference(quant_intro,[status(thm)],[159])).
% 0.75/0.73 tff(161,plain,
% 0.75/0.73 (![A: $i] : ((~l1_orders_2(A)) | (~v2_lattice3(A)) | (~v2_orders_2(A)) | (~v25_waybel_0(A)) | (~v4_orders_2(A)) | (~v3_orders_2(A)) | (~v24_waybel_0(A)) | ![B: $i] : (r1_tarski(u1_pre_topc(k14_yellow_6(A, k3_waybel28(A))), u1_pre_topc(k14_yellow_6(B, k3_waybel28(B)))) | (~l1_orders_2(B)) | (~(g1_orders_2(u1_struct_0(A), u1_orders_2(A)) = g1_orders_2(u1_struct_0(B), u1_orders_2(B)))) | (~v2_lattice3(B)) | (~v2_orders_2(B)) | (~v25_waybel_0(B)) | (~v4_orders_2(B)) | (~v3_orders_2(B)) | (~v24_waybel_0(B)))) <=> ![A: $i] : ((~l1_orders_2(A)) | (~v2_lattice3(A)) | (~v2_orders_2(A)) | (~v25_waybel_0(A)) | (~v4_orders_2(A)) | (~v3_orders_2(A)) | (~v24_waybel_0(A)) | ![B: $i] : (r1_tarski(u1_pre_topc(k14_yellow_6(A, k3_waybel28(A))), u1_pre_topc(k14_yellow_6(B, k3_waybel28(B)))) | (~l1_orders_2(B)) | (~(g1_orders_2(u1_struct_0(A), u1_orders_2(A)) = g1_orders_2(u1_struct_0(B), u1_orders_2(B)))) | (~v2_lattice3(B)) | (~v2_orders_2(B)) | (~v25_waybel_0(B)) | (~v4_orders_2(B)) | (~v3_orders_2(B)) | (~v24_waybel_0(B))))),
% 0.75/0.73 inference(transitivity,[status(thm)],[160, 158])).
% 0.75/0.73 tff(162,plain,
% 0.75/0.73 (^[A: $i] : trans(monotonicity(trans(monotonicity(rewrite((v2_orders_2(A) & v3_orders_2(A) & v4_orders_2(A) & v24_waybel_0(A) & v25_waybel_0(A) & v2_lattice3(A) & l1_orders_2(A)) <=> (~((~l1_orders_2(A)) | (~v2_lattice3(A)) | (~v2_orders_2(A)) | (~v25_waybel_0(A)) | (~v4_orders_2(A)) | (~v3_orders_2(A)) | (~v24_waybel_0(A))))), ((~(v2_orders_2(A) & v3_orders_2(A) & v4_orders_2(A) & v24_waybel_0(A) & v25_waybel_0(A) & v2_lattice3(A) & l1_orders_2(A))) <=> (~(~((~l1_orders_2(A)) | (~v2_lattice3(A)) | (~v2_orders_2(A)) | (~v25_waybel_0(A)) | (~v4_orders_2(A)) | (~v3_orders_2(A)) | (~v24_waybel_0(A))))))), rewrite((~(~((~l1_orders_2(A)) | (~v2_lattice3(A)) | (~v2_orders_2(A)) | (~v25_waybel_0(A)) | (~v4_orders_2(A)) | (~v3_orders_2(A)) | (~v24_waybel_0(A))))) <=> ((~l1_orders_2(A)) | (~v2_lattice3(A)) | (~v2_orders_2(A)) | (~v25_waybel_0(A)) | (~v4_orders_2(A)) | (~v3_orders_2(A)) | (~v24_waybel_0(A)))), ((~(v2_orders_2(A) & v3_orders_2(A) & v4_orders_2(A) & v24_waybel_0(A) & v25_waybel_0(A) & v2_lattice3(A) & l1_orders_2(A))) <=> ((~l1_orders_2(A)) | (~v2_lattice3(A)) | (~v2_orders_2(A)) | (~v25_waybel_0(A)) | (~v4_orders_2(A)) | (~v3_orders_2(A)) | (~v24_waybel_0(A))))), quant_intro(proof_bind(^[B: $i] : trans(monotonicity(trans(monotonicity(rewrite((v2_orders_2(B) & v3_orders_2(B) & v4_orders_2(B) & v24_waybel_0(B) & v25_waybel_0(B) & v2_lattice3(B) & l1_orders_2(B)) <=> (~((~l1_orders_2(B)) | (~v2_lattice3(B)) | (~v2_orders_2(B)) | (~v25_waybel_0(B)) | (~v4_orders_2(B)) | (~v3_orders_2(B)) | (~v24_waybel_0(B))))), ((~(v2_orders_2(B) & v3_orders_2(B) & v4_orders_2(B) & v24_waybel_0(B) & v25_waybel_0(B) & v2_lattice3(B) & l1_orders_2(B))) <=> (~(~((~l1_orders_2(B)) | (~v2_lattice3(B)) | (~v2_orders_2(B)) | (~v25_waybel_0(B)) | (~v4_orders_2(B)) | (~v3_orders_2(B)) | (~v24_waybel_0(B))))))), rewrite((~(~((~l1_orders_2(B)) | (~v2_lattice3(B)) | (~v2_orders_2(B)) | (~v25_waybel_0(B)) | (~v4_orders_2(B)) | (~v3_orders_2(B)) | (~v24_waybel_0(B))))) <=> ((~l1_orders_2(B)) | (~v2_lattice3(B)) | (~v2_orders_2(B)) | (~v25_waybel_0(B)) | (~v4_orders_2(B)) | (~v3_orders_2(B)) | (~v24_waybel_0(B)))), ((~(v2_orders_2(B) & v3_orders_2(B) & v4_orders_2(B) & v24_waybel_0(B) & v25_waybel_0(B) & v2_lattice3(B) & l1_orders_2(B))) <=> ((~l1_orders_2(B)) | (~v2_lattice3(B)) | (~v2_orders_2(B)) | (~v25_waybel_0(B)) | (~v4_orders_2(B)) | (~v3_orders_2(B)) | (~v24_waybel_0(B))))), ((r1_tarski(u1_pre_topc(k14_yellow_6(A, k3_waybel28(A))), u1_pre_topc(k14_yellow_6(B, k3_waybel28(B)))) | (~(g1_orders_2(u1_struct_0(A), u1_orders_2(A)) = g1_orders_2(u1_struct_0(B), u1_orders_2(B)))) | (~(v2_orders_2(B) & v3_orders_2(B) & v4_orders_2(B) & v24_waybel_0(B) & v25_waybel_0(B) & v2_lattice3(B) & l1_orders_2(B)))) <=> (r1_tarski(u1_pre_topc(k14_yellow_6(A, k3_waybel28(A))), u1_pre_topc(k14_yellow_6(B, k3_waybel28(B)))) | (~(g1_orders_2(u1_struct_0(A), u1_orders_2(A)) = g1_orders_2(u1_struct_0(B), u1_orders_2(B)))) | ((~l1_orders_2(B)) | (~v2_lattice3(B)) | (~v2_orders_2(B)) | (~v25_waybel_0(B)) | (~v4_orders_2(B)) | (~v3_orders_2(B)) | (~v24_waybel_0(B)))))), rewrite((r1_tarski(u1_pre_topc(k14_yellow_6(A, k3_waybel28(A))), u1_pre_topc(k14_yellow_6(B, k3_waybel28(B)))) | (~(g1_orders_2(u1_struct_0(A), u1_orders_2(A)) = g1_orders_2(u1_struct_0(B), u1_orders_2(B)))) | ((~l1_orders_2(B)) | (~v2_lattice3(B)) | (~v2_orders_2(B)) | (~v25_waybel_0(B)) | (~v4_orders_2(B)) | (~v3_orders_2(B)) | (~v24_waybel_0(B)))) <=> (r1_tarski(u1_pre_topc(k14_yellow_6(A, k3_waybel28(A))), u1_pre_topc(k14_yellow_6(B, k3_waybel28(B)))) | (~l1_orders_2(B)) | (~(g1_orders_2(u1_struct_0(A), u1_orders_2(A)) = g1_orders_2(u1_struct_0(B), u1_orders_2(B)))) | (~v2_lattice3(B)) | (~v2_orders_2(B)) | (~v25_waybel_0(B)) | (~v4_orders_2(B)) | (~v3_orders_2(B)) | (~v24_waybel_0(B)))), ((r1_tarski(u1_pre_topc(k14_yellow_6(A, k3_waybel28(A))), u1_pre_topc(k14_yellow_6(B, k3_waybel28(B)))) | (~(g1_orders_2(u1_struct_0(A), u1_orders_2(A)) = g1_orders_2(u1_struct_0(B), u1_orders_2(B)))) | (~(v2_orders_2(B) & v3_orders_2(B) & v4_orders_2(B) & v24_waybel_0(B) & v25_waybel_0(B) & v2_lattice3(B) & l1_orders_2(B)))) <=> (r1_tarski(u1_pre_topc(k14_yellow_6(A, k3_waybel28(A))), u1_pre_topc(k14_yellow_6(B, k3_waybel28(B)))) | (~l1_orders_2(B)) | (~(g1_orders_2(u1_struct_0(A), u1_orders_2(A)) = g1_orders_2(u1_struct_0(B), u1_orders_2(B)))) | (~v2_lattice3(B)) | (~v2_orders_2(B)) | (~v25_waybel_0(B)) | (~v4_orders_2(B)) | (~v3_orders_2(B)) | (~v24_waybel_0(B)))))), (![B: $i] : (r1_tarski(u1_pre_topc(k14_yellow_6(A, k3_waybel28(A))), u1_pre_topc(k14_yellow_6(B, k3_waybel28(B)))) | (~(g1_orders_2(u1_struct_0(A), u1_orders_2(A)) = g1_orders_2(u1_struct_0(B), u1_orders_2(B)))) | (~(v2_orders_2(B) & v3_orders_2(B) & v4_orders_2(B) & v24_waybel_0(B) & v25_waybel_0(B) & v2_lattice3(B) & l1_orders_2(B)))) <=> ![B: $i] : (r1_tarski(u1_pre_topc(k14_yellow_6(A, k3_waybel28(A))), u1_pre_topc(k14_yellow_6(B, k3_waybel28(B)))) | (~l1_orders_2(B)) | (~(g1_orders_2(u1_struct_0(A), u1_orders_2(A)) = g1_orders_2(u1_struct_0(B), u1_orders_2(B)))) | (~v2_lattice3(B)) | (~v2_orders_2(B)) | (~v25_waybel_0(B)) | (~v4_orders_2(B)) | (~v3_orders_2(B)) | (~v24_waybel_0(B))))), (((~(v2_orders_2(A) & v3_orders_2(A) & v4_orders_2(A) & v24_waybel_0(A) & v25_waybel_0(A) & v2_lattice3(A) & l1_orders_2(A))) | ![B: $i] : (r1_tarski(u1_pre_topc(k14_yellow_6(A, k3_waybel28(A))), u1_pre_topc(k14_yellow_6(B, k3_waybel28(B)))) | (~(g1_orders_2(u1_struct_0(A), u1_orders_2(A)) = g1_orders_2(u1_struct_0(B), u1_orders_2(B)))) | (~(v2_orders_2(B) & v3_orders_2(B) & v4_orders_2(B) & v24_waybel_0(B) & v25_waybel_0(B) & v2_lattice3(B) & l1_orders_2(B))))) <=> (((~l1_orders_2(A)) | (~v2_lattice3(A)) | (~v2_orders_2(A)) | (~v25_waybel_0(A)) | (~v4_orders_2(A)) | (~v3_orders_2(A)) | (~v24_waybel_0(A))) | ![B: $i] : (r1_tarski(u1_pre_topc(k14_yellow_6(A, k3_waybel28(A))), u1_pre_topc(k14_yellow_6(B, k3_waybel28(B)))) | (~l1_orders_2(B)) | (~(g1_orders_2(u1_struct_0(A), u1_orders_2(A)) = g1_orders_2(u1_struct_0(B), u1_orders_2(B)))) | (~v2_lattice3(B)) | (~v2_orders_2(B)) | (~v25_waybel_0(B)) | (~v4_orders_2(B)) | (~v3_orders_2(B)) | (~v24_waybel_0(B)))))), rewrite((((~l1_orders_2(A)) | (~v2_lattice3(A)) | (~v2_orders_2(A)) | (~v25_waybel_0(A)) | (~v4_orders_2(A)) | (~v3_orders_2(A)) | (~v24_waybel_0(A))) | ![B: $i] : (r1_tarski(u1_pre_topc(k14_yellow_6(A, k3_waybel28(A))), u1_pre_topc(k14_yellow_6(B, k3_waybel28(B)))) | (~l1_orders_2(B)) | (~(g1_orders_2(u1_struct_0(A), u1_orders_2(A)) = g1_orders_2(u1_struct_0(B), u1_orders_2(B)))) | (~v2_lattice3(B)) | (~v2_orders_2(B)) | (~v25_waybel_0(B)) | (~v4_orders_2(B)) | (~v3_orders_2(B)) | (~v24_waybel_0(B)))) <=> ((~l1_orders_2(A)) | (~v2_lattice3(A)) | (~v2_orders_2(A)) | (~v25_waybel_0(A)) | (~v4_orders_2(A)) | (~v3_orders_2(A)) | (~v24_waybel_0(A)) | ![B: $i] : (r1_tarski(u1_pre_topc(k14_yellow_6(A, k3_waybel28(A))), u1_pre_topc(k14_yellow_6(B, k3_waybel28(B)))) | (~l1_orders_2(B)) | (~(g1_orders_2(u1_struct_0(A), u1_orders_2(A)) = g1_orders_2(u1_struct_0(B), u1_orders_2(B)))) | (~v2_lattice3(B)) | (~v2_orders_2(B)) | (~v25_waybel_0(B)) | (~v4_orders_2(B)) | (~v3_orders_2(B)) | (~v24_waybel_0(B))))), (((~(v2_orders_2(A) & v3_orders_2(A) & v4_orders_2(A) & v24_waybel_0(A) & v25_waybel_0(A) & v2_lattice3(A) & l1_orders_2(A))) | ![B: $i] : (r1_tarski(u1_pre_topc(k14_yellow_6(A, k3_waybel28(A))), u1_pre_topc(k14_yellow_6(B, k3_waybel28(B)))) | (~(g1_orders_2(u1_struct_0(A), u1_orders_2(A)) = g1_orders_2(u1_struct_0(B), u1_orders_2(B)))) | (~(v2_orders_2(B) & v3_orders_2(B) & v4_orders_2(B) & v24_waybel_0(B) & v25_waybel_0(B) & v2_lattice3(B) & l1_orders_2(B))))) <=> ((~l1_orders_2(A)) | (~v2_lattice3(A)) | (~v2_orders_2(A)) | (~v25_waybel_0(A)) | (~v4_orders_2(A)) | (~v3_orders_2(A)) | (~v24_waybel_0(A)) | ![B: $i] : (r1_tarski(u1_pre_topc(k14_yellow_6(A, k3_waybel28(A))), u1_pre_topc(k14_yellow_6(B, k3_waybel28(B)))) | (~l1_orders_2(B)) | (~(g1_orders_2(u1_struct_0(A), u1_orders_2(A)) = g1_orders_2(u1_struct_0(B), u1_orders_2(B)))) | (~v2_lattice3(B)) | (~v2_orders_2(B)) | (~v25_waybel_0(B)) | (~v4_orders_2(B)) | (~v3_orders_2(B)) | (~v24_waybel_0(B))))))),
% 0.75/0.73 inference(bind,[status(th)],[])).
% 0.75/0.73 tff(163,plain,
% 0.75/0.73 (![A: $i] : ((~(v2_orders_2(A) & v3_orders_2(A) & v4_orders_2(A) & v24_waybel_0(A) & v25_waybel_0(A) & v2_lattice3(A) & l1_orders_2(A))) | ![B: $i] : (r1_tarski(u1_pre_topc(k14_yellow_6(A, k3_waybel28(A))), u1_pre_topc(k14_yellow_6(B, k3_waybel28(B)))) | (~(g1_orders_2(u1_struct_0(A), u1_orders_2(A)) = g1_orders_2(u1_struct_0(B), u1_orders_2(B)))) | (~(v2_orders_2(B) & v3_orders_2(B) & v4_orders_2(B) & v24_waybel_0(B) & v25_waybel_0(B) & v2_lattice3(B) & l1_orders_2(B))))) <=> ![A: $i] : ((~l1_orders_2(A)) | (~v2_lattice3(A)) | (~v2_orders_2(A)) | (~v25_waybel_0(A)) | (~v4_orders_2(A)) | (~v3_orders_2(A)) | (~v24_waybel_0(A)) | ![B: $i] : (r1_tarski(u1_pre_topc(k14_yellow_6(A, k3_waybel28(A))), u1_pre_topc(k14_yellow_6(B, k3_waybel28(B)))) | (~l1_orders_2(B)) | (~(g1_orders_2(u1_struct_0(A), u1_orders_2(A)) = g1_orders_2(u1_struct_0(B), u1_orders_2(B)))) | (~v2_lattice3(B)) | (~v2_orders_2(B)) | (~v25_waybel_0(B)) | (~v4_orders_2(B)) | (~v3_orders_2(B)) | (~v24_waybel_0(B))))),
% 0.75/0.73 inference(quant_intro,[status(thm)],[162])).
% 0.75/0.73 tff(164,plain,
% 0.75/0.73 (![A: $i] : ((~(v2_orders_2(A) & v3_orders_2(A) & v4_orders_2(A) & v24_waybel_0(A) & v25_waybel_0(A) & v2_lattice3(A) & l1_orders_2(A))) | ![B: $i] : (r1_tarski(u1_pre_topc(k14_yellow_6(A, k3_waybel28(A))), u1_pre_topc(k14_yellow_6(B, k3_waybel28(B)))) | (~(g1_orders_2(u1_struct_0(A), u1_orders_2(A)) = g1_orders_2(u1_struct_0(B), u1_orders_2(B)))) | (~(v2_orders_2(B) & v3_orders_2(B) & v4_orders_2(B) & v24_waybel_0(B) & v25_waybel_0(B) & v2_lattice3(B) & l1_orders_2(B))))) <=> ![A: $i] : ((~(v2_orders_2(A) & v3_orders_2(A) & v4_orders_2(A) & v24_waybel_0(A) & v25_waybel_0(A) & v2_lattice3(A) & l1_orders_2(A))) | ![B: $i] : (r1_tarski(u1_pre_topc(k14_yellow_6(A, k3_waybel28(A))), u1_pre_topc(k14_yellow_6(B, k3_waybel28(B)))) | (~(g1_orders_2(u1_struct_0(A), u1_orders_2(A)) = g1_orders_2(u1_struct_0(B), u1_orders_2(B)))) | (~(v2_orders_2(B) & v3_orders_2(B) & v4_orders_2(B) & v24_waybel_0(B) & v25_waybel_0(B) & v2_lattice3(B) & l1_orders_2(B)))))),
% 0.75/0.73 inference(rewrite,[status(thm)],[])).
% 0.75/0.73 tff(165,plain,
% 0.75/0.73 (^[A: $i] : 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)) & v24_waybel_0(A)) <=> ((v2_orders_2(A) & v3_orders_2(A) & v4_orders_2(A)) & v24_waybel_0(A)))), rewrite(((v2_orders_2(A) & v3_orders_2(A) & v4_orders_2(A)) & v24_waybel_0(A)) <=> (v2_orders_2(A) & v3_orders_2(A) & v4_orders_2(A) & v24_waybel_0(A))), ((((v2_orders_2(A) & v3_orders_2(A)) & v4_orders_2(A)) & v24_waybel_0(A)) <=> (v2_orders_2(A) & v3_orders_2(A) & v4_orders_2(A) & v24_waybel_0(A)))), (((((v2_orders_2(A) & v3_orders_2(A)) & v4_orders_2(A)) & v24_waybel_0(A)) & v25_waybel_0(A)) <=> ((v2_orders_2(A) & v3_orders_2(A) & v4_orders_2(A) & v24_waybel_0(A)) & v25_waybel_0(A)))), rewrite(((v2_orders_2(A) & v3_orders_2(A) & v4_orders_2(A) & v24_waybel_0(A)) & v25_waybel_0(A)) <=> (v2_orders_2(A) & v3_orders_2(A) & v4_orders_2(A) & v24_waybel_0(A) & v25_waybel_0(A))), (((((v2_orders_2(A) & v3_orders_2(A)) & v4_orders_2(A)) & v24_waybel_0(A)) & v25_waybel_0(A)) <=> (v2_orders_2(A) & v3_orders_2(A) & v4_orders_2(A) & v24_waybel_0(A) & v25_waybel_0(A)))), ((((((v2_orders_2(A) & v3_orders_2(A)) & v4_orders_2(A)) & v24_waybel_0(A)) & v25_waybel_0(A)) & v2_lattice3(A)) <=> ((v2_orders_2(A) & v3_orders_2(A) & v4_orders_2(A) & v24_waybel_0(A) & v25_waybel_0(A)) & v2_lattice3(A)))), rewrite(((v2_orders_2(A) & v3_orders_2(A) & v4_orders_2(A) & v24_waybel_0(A) & v25_waybel_0(A)) & v2_lattice3(A)) <=> (v2_orders_2(A) & v3_orders_2(A) & v4_orders_2(A) & v24_waybel_0(A) & v25_waybel_0(A) & v2_lattice3(A))), ((((((v2_orders_2(A) & v3_orders_2(A)) & v4_orders_2(A)) & v24_waybel_0(A)) & v25_waybel_0(A)) & v2_lattice3(A)) <=> (v2_orders_2(A) & v3_orders_2(A) & v4_orders_2(A) & v24_waybel_0(A) & v25_waybel_0(A) & v2_lattice3(A)))), (((((((v2_orders_2(A) & v3_orders_2(A)) & v4_orders_2(A)) & v24_waybel_0(A)) & v25_waybel_0(A)) & v2_lattice3(A)) & l1_orders_2(A)) <=> ((v2_orders_2(A) & v3_orders_2(A) & v4_orders_2(A) & v24_waybel_0(A) & v25_waybel_0(A) & v2_lattice3(A)) & l1_orders_2(A)))), rewrite(((v2_orders_2(A) & v3_orders_2(A) & v4_orders_2(A) & v24_waybel_0(A) & v25_waybel_0(A) & v2_lattice3(A)) & l1_orders_2(A)) <=> (v2_orders_2(A) & v3_orders_2(A) & v4_orders_2(A) & v24_waybel_0(A) & v25_waybel_0(A) & v2_lattice3(A) & l1_orders_2(A))), (((((((v2_orders_2(A) & v3_orders_2(A)) & v4_orders_2(A)) & v24_waybel_0(A)) & v25_waybel_0(A)) & v2_lattice3(A)) & l1_orders_2(A)) <=> (v2_orders_2(A) & v3_orders_2(A) & v4_orders_2(A) & v24_waybel_0(A) & v25_waybel_0(A) & v2_lattice3(A) & l1_orders_2(A)))), quant_intro(proof_bind(^[B: $i] : 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)) & v24_waybel_0(B)) <=> ((v2_orders_2(B) & v3_orders_2(B) & v4_orders_2(B)) & v24_waybel_0(B)))), rewrite(((v2_orders_2(B) & v3_orders_2(B) & v4_orders_2(B)) & v24_waybel_0(B)) <=> (v2_orders_2(B) & v3_orders_2(B) & v4_orders_2(B) & v24_waybel_0(B))), ((((v2_orders_2(B) & v3_orders_2(B)) & v4_orders_2(B)) & v24_waybel_0(B)) <=> (v2_orders_2(B) & v3_orders_2(B) & v4_orders_2(B) & v24_waybel_0(B)))), (((((v2_orders_2(B) & v3_orders_2(B)) & v4_orders_2(B)) & v24_waybel_0(B)) & v25_waybel_0(B)) <=> ((v2_orders_2(B) & v3_orders_2(B) & v4_orders_2(B) & v24_waybel_0(B)) & v25_waybel_0(B)))), rewrite(((v2_orders_2(B) & v3_orders_2(B) & v4_orders_2(B) & v24_waybel_0(B)) & v25_waybel_0(B)) <=> (v2_orders_2(B) & v3_orders_2(B) & v4_orders_2(B) & v24_waybel_0(B) & v25_waybel_0(B))), (((((v2_orders_2(B) & v3_orders_2(B)) & v4_orders_2(B)) & v24_waybel_0(B)) & v25_waybel_0(B)) <=> (v2_orders_2(B) & v3_orders_2(B) & v4_orders_2(B) & v24_waybel_0(B) & v25_waybel_0(B)))), ((((((v2_orders_2(B) & v3_orders_2(B)) & v4_orders_2(B)) & v24_waybel_0(B)) & v25_waybel_0(B)) & v2_lattice3(B)) <=> ((v2_orders_2(B) & v3_orders_2(B) & v4_orders_2(B) & v24_waybel_0(B) & v25_waybel_0(B)) & v2_lattice3(B)))), rewrite(((v2_orders_2(B) & v3_orders_2(B) & v4_orders_2(B) & v24_waybel_0(B) & v25_waybel_0(B)) & v2_lattice3(B)) <=> (v2_orders_2(B) & v3_orders_2(B) & v4_orders_2(B) & v24_waybel_0(B) & v25_waybel_0(B) & v2_lattice3(B))), ((((((v2_orders_2(B) & v3_orders_2(B)) & v4_orders_2(B)) & v24_waybel_0(B)) & v25_waybel_0(B)) & v2_lattice3(B)) <=> (v2_orders_2(B) & v3_orders_2(B) & v4_orders_2(B) & v24_waybel_0(B) & v25_waybel_0(B) & v2_lattice3(B)))), (((((((v2_orders_2(B) & v3_orders_2(B)) & v4_orders_2(B)) & v24_waybel_0(B)) & v25_waybel_0(B)) & v2_lattice3(B)) & l1_orders_2(B)) <=> ((v2_orders_2(B) & v3_orders_2(B) & v4_orders_2(B) & v24_waybel_0(B) & v25_waybel_0(B) & v2_lattice3(B)) & l1_orders_2(B)))), rewrite(((v2_orders_2(B) & v3_orders_2(B) & v4_orders_2(B) & v24_waybel_0(B) & v25_waybel_0(B) & v2_lattice3(B)) & l1_orders_2(B)) <=> (v2_orders_2(B) & v3_orders_2(B) & v4_orders_2(B) & v24_waybel_0(B) & v25_waybel_0(B) & v2_lattice3(B) & l1_orders_2(B))), (((((((v2_orders_2(B) & v3_orders_2(B)) & v4_orders_2(B)) & v24_waybel_0(B)) & v25_waybel_0(B)) & v2_lattice3(B)) & l1_orders_2(B)) <=> (v2_orders_2(B) & v3_orders_2(B) & v4_orders_2(B) & v24_waybel_0(B) & v25_waybel_0(B) & v2_lattice3(B) & l1_orders_2(B)))), rewrite(((g1_orders_2(u1_struct_0(A), u1_orders_2(A)) = g1_orders_2(u1_struct_0(B), u1_orders_2(B))) => r1_tarski(u1_pre_topc(k14_yellow_6(A, k3_waybel28(A))), u1_pre_topc(k14_yellow_6(B, k3_waybel28(B))))) <=> ((~(g1_orders_2(u1_struct_0(A), u1_orders_2(A)) = g1_orders_2(u1_struct_0(B), u1_orders_2(B)))) | r1_tarski(u1_pre_topc(k14_yellow_6(A, k3_waybel28(A))), u1_pre_topc(k14_yellow_6(B, k3_waybel28(B)))))), ((((((((v2_orders_2(B) & v3_orders_2(B)) & v4_orders_2(B)) & v24_waybel_0(B)) & v25_waybel_0(B)) & v2_lattice3(B)) & l1_orders_2(B)) => ((g1_orders_2(u1_struct_0(A), u1_orders_2(A)) = g1_orders_2(u1_struct_0(B), u1_orders_2(B))) => r1_tarski(u1_pre_topc(k14_yellow_6(A, k3_waybel28(A))), u1_pre_topc(k14_yellow_6(B, k3_waybel28(B)))))) <=> ((v2_orders_2(B) & v3_orders_2(B) & v4_orders_2(B) & v24_waybel_0(B) & v25_waybel_0(B) & v2_lattice3(B) & l1_orders_2(B)) => ((~(g1_orders_2(u1_struct_0(A), u1_orders_2(A)) = g1_orders_2(u1_struct_0(B), u1_orders_2(B)))) | r1_tarski(u1_pre_topc(k14_yellow_6(A, k3_waybel28(A))), u1_pre_topc(k14_yellow_6(B, k3_waybel28(B)))))))), rewrite(((v2_orders_2(B) & v3_orders_2(B) & v4_orders_2(B) & v24_waybel_0(B) & v25_waybel_0(B) & v2_lattice3(B) & l1_orders_2(B)) => ((~(g1_orders_2(u1_struct_0(A), u1_orders_2(A)) = g1_orders_2(u1_struct_0(B), u1_orders_2(B)))) | r1_tarski(u1_pre_topc(k14_yellow_6(A, k3_waybel28(A))), u1_pre_topc(k14_yellow_6(B, k3_waybel28(B)))))) <=> (r1_tarski(u1_pre_topc(k14_yellow_6(A, k3_waybel28(A))), u1_pre_topc(k14_yellow_6(B, k3_waybel28(B)))) | (~(g1_orders_2(u1_struct_0(A), u1_orders_2(A)) = g1_orders_2(u1_struct_0(B), u1_orders_2(B)))) | (~(v2_orders_2(B) & v3_orders_2(B) & v4_orders_2(B) & v24_waybel_0(B) & v25_waybel_0(B) & v2_lattice3(B) & l1_orders_2(B))))), ((((((((v2_orders_2(B) & v3_orders_2(B)) & v4_orders_2(B)) & v24_waybel_0(B)) & v25_waybel_0(B)) & v2_lattice3(B)) & l1_orders_2(B)) => ((g1_orders_2(u1_struct_0(A), u1_orders_2(A)) = g1_orders_2(u1_struct_0(B), u1_orders_2(B))) => r1_tarski(u1_pre_topc(k14_yellow_6(A, k3_waybel28(A))), u1_pre_topc(k14_yellow_6(B, k3_waybel28(B)))))) <=> (r1_tarski(u1_pre_topc(k14_yellow_6(A, k3_waybel28(A))), u1_pre_topc(k14_yellow_6(B, k3_waybel28(B)))) | (~(g1_orders_2(u1_struct_0(A), u1_orders_2(A)) = g1_orders_2(u1_struct_0(B), u1_orders_2(B)))) | (~(v2_orders_2(B) & v3_orders_2(B) & v4_orders_2(B) & v24_waybel_0(B) & v25_waybel_0(B) & v2_lattice3(B) & l1_orders_2(B))))))), (![B: $i] : (((((((v2_orders_2(B) & v3_orders_2(B)) & v4_orders_2(B)) & v24_waybel_0(B)) & v25_waybel_0(B)) & v2_lattice3(B)) & l1_orders_2(B)) => ((g1_orders_2(u1_struct_0(A), u1_orders_2(A)) = g1_orders_2(u1_struct_0(B), u1_orders_2(B))) => r1_tarski(u1_pre_topc(k14_yellow_6(A, k3_waybel28(A))), u1_pre_topc(k14_yellow_6(B, k3_waybel28(B)))))) <=> ![B: $i] : (r1_tarski(u1_pre_topc(k14_yellow_6(A, k3_waybel28(A))), u1_pre_topc(k14_yellow_6(B, k3_waybel28(B)))) | (~(g1_orders_2(u1_struct_0(A), u1_orders_2(A)) = g1_orders_2(u1_struct_0(B), u1_orders_2(B)))) | (~(v2_orders_2(B) & v3_orders_2(B) & v4_orders_2(B) & v24_waybel_0(B) & v25_waybel_0(B) & v2_lattice3(B) & l1_orders_2(B)))))), ((((((((v2_orders_2(A) & v3_orders_2(A)) & v4_orders_2(A)) & v24_waybel_0(A)) & v25_waybel_0(A)) & v2_lattice3(A)) & l1_orders_2(A)) => ![B: $i] : (((((((v2_orders_2(B) & v3_orders_2(B)) & v4_orders_2(B)) & v24_waybel_0(B)) & v25_waybel_0(B)) & v2_lattice3(B)) & l1_orders_2(B)) => ((g1_orders_2(u1_struct_0(A), u1_orders_2(A)) = g1_orders_2(u1_struct_0(B), u1_orders_2(B))) => r1_tarski(u1_pre_topc(k14_yellow_6(A, k3_waybel28(A))), u1_pre_topc(k14_yellow_6(B, k3_waybel28(B))))))) <=> ((v2_orders_2(A) & v3_orders_2(A) & v4_orders_2(A) & v24_waybel_0(A) & v25_waybel_0(A) & v2_lattice3(A) & l1_orders_2(A)) => ![B: $i] : (r1_tarski(u1_pre_topc(k14_yellow_6(A, k3_waybel28(A))), u1_pre_topc(k14_yellow_6(B, k3_waybel28(B)))) | (~(g1_orders_2(u1_struct_0(A), u1_orders_2(A)) = g1_orders_2(u1_struct_0(B), u1_orders_2(B)))) | (~(v2_orders_2(B) & v3_orders_2(B) & v4_orders_2(B) & v24_waybel_0(B) & v25_waybel_0(B) & v2_lattice3(B) & l1_orders_2(B))))))), rewrite(((v2_orders_2(A) & v3_orders_2(A) & v4_orders_2(A) & v24_waybel_0(A) & v25_waybel_0(A) & v2_lattice3(A) & l1_orders_2(A)) => ![B: $i] : (r1_tarski(u1_pre_topc(k14_yellow_6(A, k3_waybel28(A))), u1_pre_topc(k14_yellow_6(B, k3_waybel28(B)))) | (~(g1_orders_2(u1_struct_0(A), u1_orders_2(A)) = g1_orders_2(u1_struct_0(B), u1_orders_2(B)))) | (~(v2_orders_2(B) & v3_orders_2(B) & v4_orders_2(B) & v24_waybel_0(B) & v25_waybel_0(B) & v2_lattice3(B) & l1_orders_2(B))))) <=> ((~(v2_orders_2(A) & v3_orders_2(A) & v4_orders_2(A) & v24_waybel_0(A) & v25_waybel_0(A) & v2_lattice3(A) & l1_orders_2(A))) | ![B: $i] : (r1_tarski(u1_pre_topc(k14_yellow_6(A, k3_waybel28(A))), u1_pre_topc(k14_yellow_6(B, k3_waybel28(B)))) | (~(g1_orders_2(u1_struct_0(A), u1_orders_2(A)) = g1_orders_2(u1_struct_0(B), u1_orders_2(B)))) | (~(v2_orders_2(B) & v3_orders_2(B) & v4_orders_2(B) & v24_waybel_0(B) & v25_waybel_0(B) & v2_lattice3(B) & l1_orders_2(B)))))), ((((((((v2_orders_2(A) & v3_orders_2(A)) & v4_orders_2(A)) & v24_waybel_0(A)) & v25_waybel_0(A)) & v2_lattice3(A)) & l1_orders_2(A)) => ![B: $i] : (((((((v2_orders_2(B) & v3_orders_2(B)) & v4_orders_2(B)) & v24_waybel_0(B)) & v25_waybel_0(B)) & v2_lattice3(B)) & l1_orders_2(B)) => ((g1_orders_2(u1_struct_0(A), u1_orders_2(A)) = g1_orders_2(u1_struct_0(B), u1_orders_2(B))) => r1_tarski(u1_pre_topc(k14_yellow_6(A, k3_waybel28(A))), u1_pre_topc(k14_yellow_6(B, k3_waybel28(B))))))) <=> ((~(v2_orders_2(A) & v3_orders_2(A) & v4_orders_2(A) & v24_waybel_0(A) & v25_waybel_0(A) & v2_lattice3(A) & l1_orders_2(A))) | ![B: $i] : (r1_tarski(u1_pre_topc(k14_yellow_6(A, k3_waybel28(A))), u1_pre_topc(k14_yellow_6(B, k3_waybel28(B)))) | (~(g1_orders_2(u1_struct_0(A), u1_orders_2(A)) = g1_orders_2(u1_struct_0(B), u1_orders_2(B)))) | (~(v2_orders_2(B) & v3_orders_2(B) & v4_orders_2(B) & v24_waybel_0(B) & v25_waybel_0(B) & v2_lattice3(B) & l1_orders_2(B)))))))),
% 0.75/0.73 inference(bind,[status(th)],[])).
% 0.75/0.73 tff(166,plain,
% 0.75/0.73 (![A: $i] : (((((((v2_orders_2(A) & v3_orders_2(A)) & v4_orders_2(A)) & v24_waybel_0(A)) & v25_waybel_0(A)) & v2_lattice3(A)) & l1_orders_2(A)) => ![B: $i] : (((((((v2_orders_2(B) & v3_orders_2(B)) & v4_orders_2(B)) & v24_waybel_0(B)) & v25_waybel_0(B)) & v2_lattice3(B)) & l1_orders_2(B)) => ((g1_orders_2(u1_struct_0(A), u1_orders_2(A)) = g1_orders_2(u1_struct_0(B), u1_orders_2(B))) => r1_tarski(u1_pre_topc(k14_yellow_6(A, k3_waybel28(A))), u1_pre_topc(k14_yellow_6(B, k3_waybel28(B))))))) <=> ![A: $i] : ((~(v2_orders_2(A) & v3_orders_2(A) & v4_orders_2(A) & v24_waybel_0(A) & v25_waybel_0(A) & v2_lattice3(A) & l1_orders_2(A))) | ![B: $i] : (r1_tarski(u1_pre_topc(k14_yellow_6(A, k3_waybel28(A))), u1_pre_topc(k14_yellow_6(B, k3_waybel28(B)))) | (~(g1_orders_2(u1_struct_0(A), u1_orders_2(A)) = g1_orders_2(u1_struct_0(B), u1_orders_2(B)))) | (~(v2_orders_2(B) & v3_orders_2(B) & v4_orders_2(B) & v24_waybel_0(B) & v25_waybel_0(B) & v2_lattice3(B) & l1_orders_2(B)))))),
% 0.75/0.73 inference(quant_intro,[status(thm)],[165])).
% 0.75/0.73 tff(167,axiom,(![A: $i] : (((((((v2_orders_2(A) & v3_orders_2(A)) & v4_orders_2(A)) & v24_waybel_0(A)) & v25_waybel_0(A)) & v2_lattice3(A)) & l1_orders_2(A)) => ![B: $i] : (((((((v2_orders_2(B) & v3_orders_2(B)) & v4_orders_2(B)) & v24_waybel_0(B)) & v25_waybel_0(B)) & v2_lattice3(B)) & l1_orders_2(B)) => ((g1_orders_2(u1_struct_0(A), u1_orders_2(A)) = g1_orders_2(u1_struct_0(B), u1_orders_2(B))) => r1_tarski(u1_pre_topc(k14_yellow_6(A, k3_waybel28(A))), u1_pre_topc(k14_yellow_6(B, k3_waybel28(B)))))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','l12_waybel33')).
% 0.75/0.73 tff(168,plain,
% 0.75/0.73 (![A: $i] : ((~(v2_orders_2(A) & v3_orders_2(A) & v4_orders_2(A) & v24_waybel_0(A) & v25_waybel_0(A) & v2_lattice3(A) & l1_orders_2(A))) | ![B: $i] : (r1_tarski(u1_pre_topc(k14_yellow_6(A, k3_waybel28(A))), u1_pre_topc(k14_yellow_6(B, k3_waybel28(B)))) | (~(g1_orders_2(u1_struct_0(A), u1_orders_2(A)) = g1_orders_2(u1_struct_0(B), u1_orders_2(B)))) | (~(v2_orders_2(B) & v3_orders_2(B) & v4_orders_2(B) & v24_waybel_0(B) & v25_waybel_0(B) & v2_lattice3(B) & l1_orders_2(B)))))),
% 0.75/0.73 inference(modus_ponens,[status(thm)],[167, 166])).
% 0.75/0.73 tff(169,plain,
% 0.75/0.73 (![A: $i] : ((~(v2_orders_2(A) & v3_orders_2(A) & v4_orders_2(A) & v24_waybel_0(A) & v25_waybel_0(A) & v2_lattice3(A) & l1_orders_2(A))) | ![B: $i] : (r1_tarski(u1_pre_topc(k14_yellow_6(A, k3_waybel28(A))), u1_pre_topc(k14_yellow_6(B, k3_waybel28(B)))) | (~(g1_orders_2(u1_struct_0(A), u1_orders_2(A)) = g1_orders_2(u1_struct_0(B), u1_orders_2(B)))) | (~(v2_orders_2(B) & v3_orders_2(B) & v4_orders_2(B) & v24_waybel_0(B) & v25_waybel_0(B) & v2_lattice3(B) & l1_orders_2(B)))))),
% 0.75/0.73 inference(modus_ponens,[status(thm)],[168, 164])).
% 0.75/0.73 tff(170,plain,(
% 0.75/0.73 ![A: $i] : ((~(v2_orders_2(A) & v3_orders_2(A) & v4_orders_2(A) & v24_waybel_0(A) & v25_waybel_0(A) & v2_lattice3(A) & l1_orders_2(A))) | ![B: $i] : (r1_tarski(u1_pre_topc(k14_yellow_6(A, k3_waybel28(A))), u1_pre_topc(k14_yellow_6(B, k3_waybel28(B)))) | (~(g1_orders_2(u1_struct_0(A), u1_orders_2(A)) = g1_orders_2(u1_struct_0(B), u1_orders_2(B)))) | (~(v2_orders_2(B) & v3_orders_2(B) & v4_orders_2(B) & v24_waybel_0(B) & v25_waybel_0(B) & v2_lattice3(B) & l1_orders_2(B)))))),
% 0.75/0.73 inference(skolemize,[status(sab)],[169])).
% 0.75/0.73 tff(171,plain,
% 0.75/0.73 (![A: $i] : ((~l1_orders_2(A)) | (~v2_lattice3(A)) | (~v2_orders_2(A)) | (~v25_waybel_0(A)) | (~v4_orders_2(A)) | (~v3_orders_2(A)) | (~v24_waybel_0(A)) | ![B: $i] : (r1_tarski(u1_pre_topc(k14_yellow_6(A, k3_waybel28(A))), u1_pre_topc(k14_yellow_6(B, k3_waybel28(B)))) | (~l1_orders_2(B)) | (~(g1_orders_2(u1_struct_0(A), u1_orders_2(A)) = g1_orders_2(u1_struct_0(B), u1_orders_2(B)))) | (~v2_lattice3(B)) | (~v2_orders_2(B)) | (~v25_waybel_0(B)) | (~v4_orders_2(B)) | (~v3_orders_2(B)) | (~v24_waybel_0(B))))),
% 0.75/0.73 inference(modus_ponens,[status(thm)],[170, 163])).
% 0.75/0.73 tff(172,plain,
% 0.75/0.73 (![A: $i] : ((~l1_orders_2(A)) | (~v2_lattice3(A)) | (~v2_orders_2(A)) | (~v25_waybel_0(A)) | (~v4_orders_2(A)) | (~v3_orders_2(A)) | (~v24_waybel_0(A)) | ![B: $i] : (r1_tarski(u1_pre_topc(k14_yellow_6(A, k3_waybel28(A))), u1_pre_topc(k14_yellow_6(B, k3_waybel28(B)))) | (~l1_orders_2(B)) | (~(g1_orders_2(u1_struct_0(A), u1_orders_2(A)) = g1_orders_2(u1_struct_0(B), u1_orders_2(B)))) | (~v2_lattice3(B)) | (~v2_orders_2(B)) | (~v25_waybel_0(B)) | (~v4_orders_2(B)) | (~v3_orders_2(B)) | (~v24_waybel_0(B))))),
% 0.75/0.73 inference(modus_ponens,[status(thm)],[171, 161])).
% 0.75/0.73 tff(173,plain,
% 0.75/0.73 (l1_orders_2(A!0)),
% 0.75/0.73 inference(and_elim,[status(thm)],[26])).
% 0.75/0.73 tff(174,plain,
% 0.75/0.73 (v2_lattice3(A!0)),
% 0.75/0.73 inference(and_elim,[status(thm)],[26])).
% 0.75/0.73 tff(175,plain,
% 0.75/0.73 (v25_waybel_0(A!0)),
% 0.75/0.73 inference(and_elim,[status(thm)],[26])).
% 0.75/0.73 tff(176,plain,
% 0.75/0.73 (v24_waybel_0(A!0)),
% 0.75/0.73 inference(and_elim,[status(thm)],[26])).
% 0.75/0.73 tff(177,plain,
% 0.75/0.73 (v4_orders_2(A!0)),
% 0.75/0.73 inference(and_elim,[status(thm)],[26])).
% 0.75/0.73 tff(178,plain,
% 0.75/0.73 (v3_orders_2(A!0)),
% 0.75/0.73 inference(and_elim,[status(thm)],[26])).
% 0.75/0.73 tff(179,plain,
% 0.75/0.73 (v2_orders_2(A!0)),
% 0.75/0.73 inference(and_elim,[status(thm)],[26])).
% 0.75/0.73 tff(180,plain,
% 0.75/0.73 (((~![A: $i] : ((~l1_orders_2(A)) | (~v2_lattice3(A)) | (~v2_orders_2(A)) | (~v25_waybel_0(A)) | (~v4_orders_2(A)) | (~v3_orders_2(A)) | (~v24_waybel_0(A)) | ![B: $i] : (r1_tarski(u1_pre_topc(k14_yellow_6(A, k3_waybel28(A))), u1_pre_topc(k14_yellow_6(B, k3_waybel28(B)))) | (~l1_orders_2(B)) | (~(g1_orders_2(u1_struct_0(A), u1_orders_2(A)) = g1_orders_2(u1_struct_0(B), u1_orders_2(B)))) | (~v2_lattice3(B)) | (~v2_orders_2(B)) | (~v25_waybel_0(B)) | (~v4_orders_2(B)) | (~v3_orders_2(B)) | (~v24_waybel_0(B))))) | ((~l1_orders_2(A!0)) | (~v2_lattice3(A!0)) | (~v2_orders_2(A!0)) | (~v25_waybel_0(A!0)) | (~v4_orders_2(A!0)) | (~v3_orders_2(A!0)) | (~v24_waybel_0(A!0)) | ![B: $i] : ((~l1_orders_2(B)) | (~v2_lattice3(B)) | (~(g1_orders_2(u1_struct_0(A!0), u1_orders_2(A!0)) = g1_orders_2(u1_struct_0(B), u1_orders_2(B)))) | (~v2_orders_2(B)) | (~v25_waybel_0(B)) | (~v4_orders_2(B)) | (~v3_orders_2(B)) | (~v24_waybel_0(B)) | r1_tarski(u1_pre_topc(k14_yellow_6(A!0, k3_waybel28(A!0))), u1_pre_topc(k14_yellow_6(B, k3_waybel28(B))))))) <=> ((~![A: $i] : ((~l1_orders_2(A)) | (~v2_lattice3(A)) | (~v2_orders_2(A)) | (~v25_waybel_0(A)) | (~v4_orders_2(A)) | (~v3_orders_2(A)) | (~v24_waybel_0(A)) | ![B: $i] : (r1_tarski(u1_pre_topc(k14_yellow_6(A, k3_waybel28(A))), u1_pre_topc(k14_yellow_6(B, k3_waybel28(B)))) | (~l1_orders_2(B)) | (~(g1_orders_2(u1_struct_0(A), u1_orders_2(A)) = g1_orders_2(u1_struct_0(B), u1_orders_2(B)))) | (~v2_lattice3(B)) | (~v2_orders_2(B)) | (~v25_waybel_0(B)) | (~v4_orders_2(B)) | (~v3_orders_2(B)) | (~v24_waybel_0(B))))) | (~l1_orders_2(A!0)) | (~v2_lattice3(A!0)) | (~v2_orders_2(A!0)) | (~v25_waybel_0(A!0)) | (~v4_orders_2(A!0)) | (~v3_orders_2(A!0)) | (~v24_waybel_0(A!0)) | ![B: $i] : ((~l1_orders_2(B)) | (~v2_lattice3(B)) | (~(g1_orders_2(u1_struct_0(A!0), u1_orders_2(A!0)) = g1_orders_2(u1_struct_0(B), u1_orders_2(B)))) | (~v2_orders_2(B)) | (~v25_waybel_0(B)) | (~v4_orders_2(B)) | (~v3_orders_2(B)) | (~v24_waybel_0(B)) | r1_tarski(u1_pre_topc(k14_yellow_6(A!0, k3_waybel28(A!0))), u1_pre_topc(k14_yellow_6(B, k3_waybel28(B))))))),
% 0.75/0.73 inference(rewrite,[status(thm)],[])).
% 0.75/0.73 tff(181,plain,
% 0.75/0.73 (((~l1_orders_2(A!0)) | (~v2_lattice3(A!0)) | (~v2_orders_2(A!0)) | (~v25_waybel_0(A!0)) | (~v4_orders_2(A!0)) | (~v3_orders_2(A!0)) | (~v24_waybel_0(A!0)) | ![B: $i] : ((~l1_orders_2(B)) | (~v2_lattice3(B)) | (~(g1_orders_2(u1_struct_0(A!0), u1_orders_2(A!0)) = g1_orders_2(u1_struct_0(B), u1_orders_2(B)))) | (~v2_orders_2(B)) | (~v25_waybel_0(B)) | (~v4_orders_2(B)) | (~v3_orders_2(B)) | (~v24_waybel_0(B)) | r1_tarski(u1_pre_topc(k14_yellow_6(A!0, k3_waybel28(A!0))), u1_pre_topc(k14_yellow_6(B, k3_waybel28(B)))))) <=> ((~l1_orders_2(A!0)) | (~v2_lattice3(A!0)) | (~v2_orders_2(A!0)) | (~v25_waybel_0(A!0)) | (~v4_orders_2(A!0)) | (~v3_orders_2(A!0)) | (~v24_waybel_0(A!0)) | ![B: $i] : ((~l1_orders_2(B)) | (~v2_lattice3(B)) | (~(g1_orders_2(u1_struct_0(A!0), u1_orders_2(A!0)) = g1_orders_2(u1_struct_0(B), u1_orders_2(B)))) | (~v2_orders_2(B)) | (~v25_waybel_0(B)) | (~v4_orders_2(B)) | (~v3_orders_2(B)) | (~v24_waybel_0(B)) | r1_tarski(u1_pre_topc(k14_yellow_6(A!0, k3_waybel28(A!0))), u1_pre_topc(k14_yellow_6(B, k3_waybel28(B))))))),
% 0.75/0.73 inference(rewrite,[status(thm)],[])).
% 0.75/0.73 tff(182,plain,
% 0.75/0.73 (^[B: $i] : rewrite((r1_tarski(u1_pre_topc(k14_yellow_6(A!0, k3_waybel28(A!0))), u1_pre_topc(k14_yellow_6(B, k3_waybel28(B)))) | (~l1_orders_2(B)) | (~(g1_orders_2(u1_struct_0(A!0), u1_orders_2(A!0)) = g1_orders_2(u1_struct_0(B), u1_orders_2(B)))) | (~v2_lattice3(B)) | (~v2_orders_2(B)) | (~v25_waybel_0(B)) | (~v4_orders_2(B)) | (~v3_orders_2(B)) | (~v24_waybel_0(B))) <=> ((~l1_orders_2(B)) | (~v2_lattice3(B)) | (~(g1_orders_2(u1_struct_0(A!0), u1_orders_2(A!0)) = g1_orders_2(u1_struct_0(B), u1_orders_2(B)))) | (~v2_orders_2(B)) | (~v25_waybel_0(B)) | (~v4_orders_2(B)) | (~v3_orders_2(B)) | (~v24_waybel_0(B)) | r1_tarski(u1_pre_topc(k14_yellow_6(A!0, k3_waybel28(A!0))), u1_pre_topc(k14_yellow_6(B, k3_waybel28(B))))))),
% 0.75/0.74 inference(bind,[status(th)],[])).
% 0.75/0.74 tff(183,plain,
% 0.75/0.74 (![B: $i] : (r1_tarski(u1_pre_topc(k14_yellow_6(A!0, k3_waybel28(A!0))), u1_pre_topc(k14_yellow_6(B, k3_waybel28(B)))) | (~l1_orders_2(B)) | (~(g1_orders_2(u1_struct_0(A!0), u1_orders_2(A!0)) = g1_orders_2(u1_struct_0(B), u1_orders_2(B)))) | (~v2_lattice3(B)) | (~v2_orders_2(B)) | (~v25_waybel_0(B)) | (~v4_orders_2(B)) | (~v3_orders_2(B)) | (~v24_waybel_0(B))) <=> ![B: $i] : ((~l1_orders_2(B)) | (~v2_lattice3(B)) | (~(g1_orders_2(u1_struct_0(A!0), u1_orders_2(A!0)) = g1_orders_2(u1_struct_0(B), u1_orders_2(B)))) | (~v2_orders_2(B)) | (~v25_waybel_0(B)) | (~v4_orders_2(B)) | (~v3_orders_2(B)) | (~v24_waybel_0(B)) | r1_tarski(u1_pre_topc(k14_yellow_6(A!0, k3_waybel28(A!0))), u1_pre_topc(k14_yellow_6(B, k3_waybel28(B)))))),
% 0.75/0.74 inference(quant_intro,[status(thm)],[182])).
% 0.75/0.74 tff(184,plain,
% 0.75/0.74 (((~l1_orders_2(A!0)) | (~v2_lattice3(A!0)) | (~v2_orders_2(A!0)) | (~v25_waybel_0(A!0)) | (~v4_orders_2(A!0)) | (~v3_orders_2(A!0)) | (~v24_waybel_0(A!0)) | ![B: $i] : (r1_tarski(u1_pre_topc(k14_yellow_6(A!0, k3_waybel28(A!0))), u1_pre_topc(k14_yellow_6(B, k3_waybel28(B)))) | (~l1_orders_2(B)) | (~(g1_orders_2(u1_struct_0(A!0), u1_orders_2(A!0)) = g1_orders_2(u1_struct_0(B), u1_orders_2(B)))) | (~v2_lattice3(B)) | (~v2_orders_2(B)) | (~v25_waybel_0(B)) | (~v4_orders_2(B)) | (~v3_orders_2(B)) | (~v24_waybel_0(B)))) <=> ((~l1_orders_2(A!0)) | (~v2_lattice3(A!0)) | (~v2_orders_2(A!0)) | (~v25_waybel_0(A!0)) | (~v4_orders_2(A!0)) | (~v3_orders_2(A!0)) | (~v24_waybel_0(A!0)) | ![B: $i] : ((~l1_orders_2(B)) | (~v2_lattice3(B)) | (~(g1_orders_2(u1_struct_0(A!0), u1_orders_2(A!0)) = g1_orders_2(u1_struct_0(B), u1_orders_2(B)))) | (~v2_orders_2(B)) | (~v25_waybel_0(B)) | (~v4_orders_2(B)) | (~v3_orders_2(B)) | (~v24_waybel_0(B)) | r1_tarski(u1_pre_topc(k14_yellow_6(A!0, k3_waybel28(A!0))), u1_pre_topc(k14_yellow_6(B, k3_waybel28(B))))))),
% 0.75/0.74 inference(monotonicity,[status(thm)],[183])).
% 0.75/0.74 tff(185,plain,
% 0.75/0.74 (((~l1_orders_2(A!0)) | (~v2_lattice3(A!0)) | (~v2_orders_2(A!0)) | (~v25_waybel_0(A!0)) | (~v4_orders_2(A!0)) | (~v3_orders_2(A!0)) | (~v24_waybel_0(A!0)) | ![B: $i] : (r1_tarski(u1_pre_topc(k14_yellow_6(A!0, k3_waybel28(A!0))), u1_pre_topc(k14_yellow_6(B, k3_waybel28(B)))) | (~l1_orders_2(B)) | (~(g1_orders_2(u1_struct_0(A!0), u1_orders_2(A!0)) = g1_orders_2(u1_struct_0(B), u1_orders_2(B)))) | (~v2_lattice3(B)) | (~v2_orders_2(B)) | (~v25_waybel_0(B)) | (~v4_orders_2(B)) | (~v3_orders_2(B)) | (~v24_waybel_0(B)))) <=> ((~l1_orders_2(A!0)) | (~v2_lattice3(A!0)) | (~v2_orders_2(A!0)) | (~v25_waybel_0(A!0)) | (~v4_orders_2(A!0)) | (~v3_orders_2(A!0)) | (~v24_waybel_0(A!0)) | ![B: $i] : ((~l1_orders_2(B)) | (~v2_lattice3(B)) | (~(g1_orders_2(u1_struct_0(A!0), u1_orders_2(A!0)) = g1_orders_2(u1_struct_0(B), u1_orders_2(B)))) | (~v2_orders_2(B)) | (~v25_waybel_0(B)) | (~v4_orders_2(B)) | (~v3_orders_2(B)) | (~v24_waybel_0(B)) | r1_tarski(u1_pre_topc(k14_yellow_6(A!0, k3_waybel28(A!0))), u1_pre_topc(k14_yellow_6(B, k3_waybel28(B))))))),
% 0.75/0.74 inference(transitivity,[status(thm)],[184, 181])).
% 0.75/0.74 tff(186,plain,
% 0.75/0.74 (((~![A: $i] : ((~l1_orders_2(A)) | (~v2_lattice3(A)) | (~v2_orders_2(A)) | (~v25_waybel_0(A)) | (~v4_orders_2(A)) | (~v3_orders_2(A)) | (~v24_waybel_0(A)) | ![B: $i] : (r1_tarski(u1_pre_topc(k14_yellow_6(A, k3_waybel28(A))), u1_pre_topc(k14_yellow_6(B, k3_waybel28(B)))) | (~l1_orders_2(B)) | (~(g1_orders_2(u1_struct_0(A), u1_orders_2(A)) = g1_orders_2(u1_struct_0(B), u1_orders_2(B)))) | (~v2_lattice3(B)) | (~v2_orders_2(B)) | (~v25_waybel_0(B)) | (~v4_orders_2(B)) | (~v3_orders_2(B)) | (~v24_waybel_0(B))))) | ((~l1_orders_2(A!0)) | (~v2_lattice3(A!0)) | (~v2_orders_2(A!0)) | (~v25_waybel_0(A!0)) | (~v4_orders_2(A!0)) | (~v3_orders_2(A!0)) | (~v24_waybel_0(A!0)) | ![B: $i] : (r1_tarski(u1_pre_topc(k14_yellow_6(A!0, k3_waybel28(A!0))), u1_pre_topc(k14_yellow_6(B, k3_waybel28(B)))) | (~l1_orders_2(B)) | (~(g1_orders_2(u1_struct_0(A!0), u1_orders_2(A!0)) = g1_orders_2(u1_struct_0(B), u1_orders_2(B)))) | (~v2_lattice3(B)) | (~v2_orders_2(B)) | (~v25_waybel_0(B)) | (~v4_orders_2(B)) | (~v3_orders_2(B)) | (~v24_waybel_0(B))))) <=> ((~![A: $i] : ((~l1_orders_2(A)) | (~v2_lattice3(A)) | (~v2_orders_2(A)) | (~v25_waybel_0(A)) | (~v4_orders_2(A)) | (~v3_orders_2(A)) | (~v24_waybel_0(A)) | ![B: $i] : (r1_tarski(u1_pre_topc(k14_yellow_6(A, k3_waybel28(A))), u1_pre_topc(k14_yellow_6(B, k3_waybel28(B)))) | (~l1_orders_2(B)) | (~(g1_orders_2(u1_struct_0(A), u1_orders_2(A)) = g1_orders_2(u1_struct_0(B), u1_orders_2(B)))) | (~v2_lattice3(B)) | (~v2_orders_2(B)) | (~v25_waybel_0(B)) | (~v4_orders_2(B)) | (~v3_orders_2(B)) | (~v24_waybel_0(B))))) | ((~l1_orders_2(A!0)) | (~v2_lattice3(A!0)) | (~v2_orders_2(A!0)) | (~v25_waybel_0(A!0)) | (~v4_orders_2(A!0)) | (~v3_orders_2(A!0)) | (~v24_waybel_0(A!0)) | ![B: $i] : ((~l1_orders_2(B)) | (~v2_lattice3(B)) | (~(g1_orders_2(u1_struct_0(A!0), u1_orders_2(A!0)) = g1_orders_2(u1_struct_0(B), u1_orders_2(B)))) | (~v2_orders_2(B)) | (~v25_waybel_0(B)) | (~v4_orders_2(B)) | (~v3_orders_2(B)) | (~v24_waybel_0(B)) | r1_tarski(u1_pre_topc(k14_yellow_6(A!0, k3_waybel28(A!0))), u1_pre_topc(k14_yellow_6(B, k3_waybel28(B)))))))),
% 0.75/0.74 inference(monotonicity,[status(thm)],[185])).
% 0.75/0.74 tff(187,plain,
% 0.75/0.74 (((~![A: $i] : ((~l1_orders_2(A)) | (~v2_lattice3(A)) | (~v2_orders_2(A)) | (~v25_waybel_0(A)) | (~v4_orders_2(A)) | (~v3_orders_2(A)) | (~v24_waybel_0(A)) | ![B: $i] : (r1_tarski(u1_pre_topc(k14_yellow_6(A, k3_waybel28(A))), u1_pre_topc(k14_yellow_6(B, k3_waybel28(B)))) | (~l1_orders_2(B)) | (~(g1_orders_2(u1_struct_0(A), u1_orders_2(A)) = g1_orders_2(u1_struct_0(B), u1_orders_2(B)))) | (~v2_lattice3(B)) | (~v2_orders_2(B)) | (~v25_waybel_0(B)) | (~v4_orders_2(B)) | (~v3_orders_2(B)) | (~v24_waybel_0(B))))) | ((~l1_orders_2(A!0)) | (~v2_lattice3(A!0)) | (~v2_orders_2(A!0)) | (~v25_waybel_0(A!0)) | (~v4_orders_2(A!0)) | (~v3_orders_2(A!0)) | (~v24_waybel_0(A!0)) | ![B: $i] : (r1_tarski(u1_pre_topc(k14_yellow_6(A!0, k3_waybel28(A!0))), u1_pre_topc(k14_yellow_6(B, k3_waybel28(B)))) | (~l1_orders_2(B)) | (~(g1_orders_2(u1_struct_0(A!0), u1_orders_2(A!0)) = g1_orders_2(u1_struct_0(B), u1_orders_2(B)))) | (~v2_lattice3(B)) | (~v2_orders_2(B)) | (~v25_waybel_0(B)) | (~v4_orders_2(B)) | (~v3_orders_2(B)) | (~v24_waybel_0(B))))) <=> ((~![A: $i] : ((~l1_orders_2(A)) | (~v2_lattice3(A)) | (~v2_orders_2(A)) | (~v25_waybel_0(A)) | (~v4_orders_2(A)) | (~v3_orders_2(A)) | (~v24_waybel_0(A)) | ![B: $i] : (r1_tarski(u1_pre_topc(k14_yellow_6(A, k3_waybel28(A))), u1_pre_topc(k14_yellow_6(B, k3_waybel28(B)))) | (~l1_orders_2(B)) | (~(g1_orders_2(u1_struct_0(A), u1_orders_2(A)) = g1_orders_2(u1_struct_0(B), u1_orders_2(B)))) | (~v2_lattice3(B)) | (~v2_orders_2(B)) | (~v25_waybel_0(B)) | (~v4_orders_2(B)) | (~v3_orders_2(B)) | (~v24_waybel_0(B))))) | (~l1_orders_2(A!0)) | (~v2_lattice3(A!0)) | (~v2_orders_2(A!0)) | (~v25_waybel_0(A!0)) | (~v4_orders_2(A!0)) | (~v3_orders_2(A!0)) | (~v24_waybel_0(A!0)) | ![B: $i] : ((~l1_orders_2(B)) | (~v2_lattice3(B)) | (~(g1_orders_2(u1_struct_0(A!0), u1_orders_2(A!0)) = g1_orders_2(u1_struct_0(B), u1_orders_2(B)))) | (~v2_orders_2(B)) | (~v25_waybel_0(B)) | (~v4_orders_2(B)) | (~v3_orders_2(B)) | (~v24_waybel_0(B)) | r1_tarski(u1_pre_topc(k14_yellow_6(A!0, k3_waybel28(A!0))), u1_pre_topc(k14_yellow_6(B, k3_waybel28(B))))))),
% 0.75/0.74 inference(transitivity,[status(thm)],[186, 180])).
% 0.75/0.74 tff(188,plain,
% 0.75/0.74 ((~![A: $i] : ((~l1_orders_2(A)) | (~v2_lattice3(A)) | (~v2_orders_2(A)) | (~v25_waybel_0(A)) | (~v4_orders_2(A)) | (~v3_orders_2(A)) | (~v24_waybel_0(A)) | ![B: $i] : (r1_tarski(u1_pre_topc(k14_yellow_6(A, k3_waybel28(A))), u1_pre_topc(k14_yellow_6(B, k3_waybel28(B)))) | (~l1_orders_2(B)) | (~(g1_orders_2(u1_struct_0(A), u1_orders_2(A)) = g1_orders_2(u1_struct_0(B), u1_orders_2(B)))) | (~v2_lattice3(B)) | (~v2_orders_2(B)) | (~v25_waybel_0(B)) | (~v4_orders_2(B)) | (~v3_orders_2(B)) | (~v24_waybel_0(B))))) | ((~l1_orders_2(A!0)) | (~v2_lattice3(A!0)) | (~v2_orders_2(A!0)) | (~v25_waybel_0(A!0)) | (~v4_orders_2(A!0)) | (~v3_orders_2(A!0)) | (~v24_waybel_0(A!0)) | ![B: $i] : (r1_tarski(u1_pre_topc(k14_yellow_6(A!0, k3_waybel28(A!0))), u1_pre_topc(k14_yellow_6(B, k3_waybel28(B)))) | (~l1_orders_2(B)) | (~(g1_orders_2(u1_struct_0(A!0), u1_orders_2(A!0)) = g1_orders_2(u1_struct_0(B), u1_orders_2(B)))) | (~v2_lattice3(B)) | (~v2_orders_2(B)) | (~v25_waybel_0(B)) | (~v4_orders_2(B)) | (~v3_orders_2(B)) | (~v24_waybel_0(B))))),
% 0.75/0.74 inference(quant_inst,[status(thm)],[])).
% 0.75/0.74 tff(189,plain,
% 0.75/0.74 ((~![A: $i] : ((~l1_orders_2(A)) | (~v2_lattice3(A)) | (~v2_orders_2(A)) | (~v25_waybel_0(A)) | (~v4_orders_2(A)) | (~v3_orders_2(A)) | (~v24_waybel_0(A)) | ![B: $i] : (r1_tarski(u1_pre_topc(k14_yellow_6(A, k3_waybel28(A))), u1_pre_topc(k14_yellow_6(B, k3_waybel28(B)))) | (~l1_orders_2(B)) | (~(g1_orders_2(u1_struct_0(A), u1_orders_2(A)) = g1_orders_2(u1_struct_0(B), u1_orders_2(B)))) | (~v2_lattice3(B)) | (~v2_orders_2(B)) | (~v25_waybel_0(B)) | (~v4_orders_2(B)) | (~v3_orders_2(B)) | (~v24_waybel_0(B))))) | (~l1_orders_2(A!0)) | (~v2_lattice3(A!0)) | (~v2_orders_2(A!0)) | (~v25_waybel_0(A!0)) | (~v4_orders_2(A!0)) | (~v3_orders_2(A!0)) | (~v24_waybel_0(A!0)) | ![B: $i] : ((~l1_orders_2(B)) | (~v2_lattice3(B)) | (~(g1_orders_2(u1_struct_0(A!0), u1_orders_2(A!0)) = g1_orders_2(u1_struct_0(B), u1_orders_2(B)))) | (~v2_orders_2(B)) | (~v25_waybel_0(B)) | (~v4_orders_2(B)) | (~v3_orders_2(B)) | (~v24_waybel_0(B)) | r1_tarski(u1_pre_topc(k14_yellow_6(A!0, k3_waybel28(A!0))), u1_pre_topc(k14_yellow_6(B, k3_waybel28(B)))))),
% 0.75/0.74 inference(modus_ponens,[status(thm)],[188, 187])).
% 0.75/0.74 tff(190,plain,
% 0.75/0.74 (![B: $i] : ((~l1_orders_2(B)) | (~v2_lattice3(B)) | (~(g1_orders_2(u1_struct_0(A!0), u1_orders_2(A!0)) = g1_orders_2(u1_struct_0(B), u1_orders_2(B)))) | (~v2_orders_2(B)) | (~v25_waybel_0(B)) | (~v4_orders_2(B)) | (~v3_orders_2(B)) | (~v24_waybel_0(B)) | r1_tarski(u1_pre_topc(k14_yellow_6(A!0, k3_waybel28(A!0))), u1_pre_topc(k14_yellow_6(B, k3_waybel28(B)))))),
% 0.75/0.74 inference(unit_resolution,[status(thm)],[189, 179, 178, 177, 176, 175, 174, 173, 172])).
% 0.75/0.74 tff(191,plain,
% 0.75/0.74 (v25_waybel_0(B!1)),
% 0.75/0.74 inference(and_elim,[status(thm)],[28])).
% 0.75/0.74 tff(192,plain,
% 0.75/0.74 (v24_waybel_0(B!1)),
% 0.75/0.74 inference(and_elim,[status(thm)],[28])).
% 0.75/0.74 tff(193,plain,
% 0.75/0.74 (v4_orders_2(B!1)),
% 0.75/0.74 inference(and_elim,[status(thm)],[28])).
% 0.75/0.74 tff(194,plain,
% 0.75/0.74 (v3_orders_2(B!1)),
% 0.75/0.74 inference(and_elim,[status(thm)],[28])).
% 0.75/0.74 tff(195,plain,
% 0.75/0.74 (v2_orders_2(B!1)),
% 0.75/0.74 inference(and_elim,[status(thm)],[28])).
% 0.75/0.74 tff(196,plain,
% 0.75/0.74 (g1_orders_2(u1_struct_0(A!0), u1_orders_2(A!0)) = g1_orders_2(u1_struct_0(B!1), u1_orders_2(B!1))),
% 0.75/0.74 inference(or_elim,[status(thm)],[27])).
% 0.75/0.74 tff(197,plain,
% 0.75/0.74 (((~![B: $i] : ((~l1_orders_2(B)) | (~v2_lattice3(B)) | (~(g1_orders_2(u1_struct_0(A!0), u1_orders_2(A!0)) = g1_orders_2(u1_struct_0(B), u1_orders_2(B)))) | (~v2_orders_2(B)) | (~v25_waybel_0(B)) | (~v4_orders_2(B)) | (~v3_orders_2(B)) | (~v24_waybel_0(B)) | r1_tarski(u1_pre_topc(k14_yellow_6(A!0, k3_waybel28(A!0))), u1_pre_topc(k14_yellow_6(B, k3_waybel28(B)))))) | ((~(g1_orders_2(u1_struct_0(A!0), u1_orders_2(A!0)) = g1_orders_2(u1_struct_0(B!1), u1_orders_2(B!1)))) | (~l1_orders_2(B!1)) | (~v2_lattice3(B!1)) | (~v2_orders_2(B!1)) | (~v25_waybel_0(B!1)) | (~v4_orders_2(B!1)) | (~v3_orders_2(B!1)) | (~v24_waybel_0(B!1)) | r1_tarski(u1_pre_topc(k14_yellow_6(A!0, k3_waybel28(A!0))), u1_pre_topc(k14_yellow_6(B!1, k3_waybel28(B!1)))))) <=> ((~![B: $i] : ((~l1_orders_2(B)) | (~v2_lattice3(B)) | (~(g1_orders_2(u1_struct_0(A!0), u1_orders_2(A!0)) = g1_orders_2(u1_struct_0(B), u1_orders_2(B)))) | (~v2_orders_2(B)) | (~v25_waybel_0(B)) | (~v4_orders_2(B)) | (~v3_orders_2(B)) | (~v24_waybel_0(B)) | r1_tarski(u1_pre_topc(k14_yellow_6(A!0, k3_waybel28(A!0))), u1_pre_topc(k14_yellow_6(B, k3_waybel28(B)))))) | (~(g1_orders_2(u1_struct_0(A!0), u1_orders_2(A!0)) = g1_orders_2(u1_struct_0(B!1), u1_orders_2(B!1)))) | (~l1_orders_2(B!1)) | (~v2_lattice3(B!1)) | (~v2_orders_2(B!1)) | (~v25_waybel_0(B!1)) | (~v4_orders_2(B!1)) | (~v3_orders_2(B!1)) | (~v24_waybel_0(B!1)) | r1_tarski(u1_pre_topc(k14_yellow_6(A!0, k3_waybel28(A!0))), u1_pre_topc(k14_yellow_6(B!1, k3_waybel28(B!1)))))),
% 0.75/0.74 inference(rewrite,[status(thm)],[])).
% 0.75/0.74 tff(198,plain,
% 0.75/0.74 (((~l1_orders_2(B!1)) | (~v2_lattice3(B!1)) | (~(g1_orders_2(u1_struct_0(A!0), u1_orders_2(A!0)) = g1_orders_2(u1_struct_0(B!1), u1_orders_2(B!1)))) | (~v2_orders_2(B!1)) | (~v25_waybel_0(B!1)) | (~v4_orders_2(B!1)) | (~v3_orders_2(B!1)) | (~v24_waybel_0(B!1)) | r1_tarski(u1_pre_topc(k14_yellow_6(A!0, k3_waybel28(A!0))), u1_pre_topc(k14_yellow_6(B!1, k3_waybel28(B!1))))) <=> ((~(g1_orders_2(u1_struct_0(A!0), u1_orders_2(A!0)) = g1_orders_2(u1_struct_0(B!1), u1_orders_2(B!1)))) | (~l1_orders_2(B!1)) | (~v2_lattice3(B!1)) | (~v2_orders_2(B!1)) | (~v25_waybel_0(B!1)) | (~v4_orders_2(B!1)) | (~v3_orders_2(B!1)) | (~v24_waybel_0(B!1)) | r1_tarski(u1_pre_topc(k14_yellow_6(A!0, k3_waybel28(A!0))), u1_pre_topc(k14_yellow_6(B!1, k3_waybel28(B!1)))))),
% 0.75/0.74 inference(rewrite,[status(thm)],[])).
% 0.75/0.74 tff(199,plain,
% 0.75/0.74 (((~![B: $i] : ((~l1_orders_2(B)) | (~v2_lattice3(B)) | (~(g1_orders_2(u1_struct_0(A!0), u1_orders_2(A!0)) = g1_orders_2(u1_struct_0(B), u1_orders_2(B)))) | (~v2_orders_2(B)) | (~v25_waybel_0(B)) | (~v4_orders_2(B)) | (~v3_orders_2(B)) | (~v24_waybel_0(B)) | r1_tarski(u1_pre_topc(k14_yellow_6(A!0, k3_waybel28(A!0))), u1_pre_topc(k14_yellow_6(B, k3_waybel28(B)))))) | ((~l1_orders_2(B!1)) | (~v2_lattice3(B!1)) | (~(g1_orders_2(u1_struct_0(A!0), u1_orders_2(A!0)) = g1_orders_2(u1_struct_0(B!1), u1_orders_2(B!1)))) | (~v2_orders_2(B!1)) | (~v25_waybel_0(B!1)) | (~v4_orders_2(B!1)) | (~v3_orders_2(B!1)) | (~v24_waybel_0(B!1)) | r1_tarski(u1_pre_topc(k14_yellow_6(A!0, k3_waybel28(A!0))), u1_pre_topc(k14_yellow_6(B!1, k3_waybel28(B!1)))))) <=> ((~![B: $i] : ((~l1_orders_2(B)) | (~v2_lattice3(B)) | (~(g1_orders_2(u1_struct_0(A!0), u1_orders_2(A!0)) = g1_orders_2(u1_struct_0(B), u1_orders_2(B)))) | (~v2_orders_2(B)) | (~v25_waybel_0(B)) | (~v4_orders_2(B)) | (~v3_orders_2(B)) | (~v24_waybel_0(B)) | r1_tarski(u1_pre_topc(k14_yellow_6(A!0, k3_waybel28(A!0))), u1_pre_topc(k14_yellow_6(B, k3_waybel28(B)))))) | ((~(g1_orders_2(u1_struct_0(A!0), u1_orders_2(A!0)) = g1_orders_2(u1_struct_0(B!1), u1_orders_2(B!1)))) | (~l1_orders_2(B!1)) | (~v2_lattice3(B!1)) | (~v2_orders_2(B!1)) | (~v25_waybel_0(B!1)) | (~v4_orders_2(B!1)) | (~v3_orders_2(B!1)) | (~v24_waybel_0(B!1)) | r1_tarski(u1_pre_topc(k14_yellow_6(A!0, k3_waybel28(A!0))), u1_pre_topc(k14_yellow_6(B!1, k3_waybel28(B!1))))))),
% 0.75/0.74 inference(monotonicity,[status(thm)],[198])).
% 0.75/0.74 tff(200,plain,
% 0.75/0.74 (((~![B: $i] : ((~l1_orders_2(B)) | (~v2_lattice3(B)) | (~(g1_orders_2(u1_struct_0(A!0), u1_orders_2(A!0)) = g1_orders_2(u1_struct_0(B), u1_orders_2(B)))) | (~v2_orders_2(B)) | (~v25_waybel_0(B)) | (~v4_orders_2(B)) | (~v3_orders_2(B)) | (~v24_waybel_0(B)) | r1_tarski(u1_pre_topc(k14_yellow_6(A!0, k3_waybel28(A!0))), u1_pre_topc(k14_yellow_6(B, k3_waybel28(B)))))) | ((~l1_orders_2(B!1)) | (~v2_lattice3(B!1)) | (~(g1_orders_2(u1_struct_0(A!0), u1_orders_2(A!0)) = g1_orders_2(u1_struct_0(B!1), u1_orders_2(B!1)))) | (~v2_orders_2(B!1)) | (~v25_waybel_0(B!1)) | (~v4_orders_2(B!1)) | (~v3_orders_2(B!1)) | (~v24_waybel_0(B!1)) | r1_tarski(u1_pre_topc(k14_yellow_6(A!0, k3_waybel28(A!0))), u1_pre_topc(k14_yellow_6(B!1, k3_waybel28(B!1)))))) <=> ((~![B: $i] : ((~l1_orders_2(B)) | (~v2_lattice3(B)) | (~(g1_orders_2(u1_struct_0(A!0), u1_orders_2(A!0)) = g1_orders_2(u1_struct_0(B), u1_orders_2(B)))) | (~v2_orders_2(B)) | (~v25_waybel_0(B)) | (~v4_orders_2(B)) | (~v3_orders_2(B)) | (~v24_waybel_0(B)) | r1_tarski(u1_pre_topc(k14_yellow_6(A!0, k3_waybel28(A!0))), u1_pre_topc(k14_yellow_6(B, k3_waybel28(B)))))) | (~(g1_orders_2(u1_struct_0(A!0), u1_orders_2(A!0)) = g1_orders_2(u1_struct_0(B!1), u1_orders_2(B!1)))) | (~l1_orders_2(B!1)) | (~v2_lattice3(B!1)) | (~v2_orders_2(B!1)) | (~v25_waybel_0(B!1)) | (~v4_orders_2(B!1)) | (~v3_orders_2(B!1)) | (~v24_waybel_0(B!1)) | r1_tarski(u1_pre_topc(k14_yellow_6(A!0, k3_waybel28(A!0))), u1_pre_topc(k14_yellow_6(B!1, k3_waybel28(B!1)))))),
% 0.75/0.74 inference(transitivity,[status(thm)],[199, 197])).
% 0.75/0.74 tff(201,plain,
% 0.75/0.74 ((~![B: $i] : ((~l1_orders_2(B)) | (~v2_lattice3(B)) | (~(g1_orders_2(u1_struct_0(A!0), u1_orders_2(A!0)) = g1_orders_2(u1_struct_0(B), u1_orders_2(B)))) | (~v2_orders_2(B)) | (~v25_waybel_0(B)) | (~v4_orders_2(B)) | (~v3_orders_2(B)) | (~v24_waybel_0(B)) | r1_tarski(u1_pre_topc(k14_yellow_6(A!0, k3_waybel28(A!0))), u1_pre_topc(k14_yellow_6(B, k3_waybel28(B)))))) | ((~l1_orders_2(B!1)) | (~v2_lattice3(B!1)) | (~(g1_orders_2(u1_struct_0(A!0), u1_orders_2(A!0)) = g1_orders_2(u1_struct_0(B!1), u1_orders_2(B!1)))) | (~v2_orders_2(B!1)) | (~v25_waybel_0(B!1)) | (~v4_orders_2(B!1)) | (~v3_orders_2(B!1)) | (~v24_waybel_0(B!1)) | r1_tarski(u1_pre_topc(k14_yellow_6(A!0, k3_waybel28(A!0))), u1_pre_topc(k14_yellow_6(B!1, k3_waybel28(B!1)))))),
% 0.75/0.74 inference(quant_inst,[status(thm)],[])).
% 0.75/0.74 tff(202,plain,
% 0.75/0.74 ((~![B: $i] : ((~l1_orders_2(B)) | (~v2_lattice3(B)) | (~(g1_orders_2(u1_struct_0(A!0), u1_orders_2(A!0)) = g1_orders_2(u1_struct_0(B), u1_orders_2(B)))) | (~v2_orders_2(B)) | (~v25_waybel_0(B)) | (~v4_orders_2(B)) | (~v3_orders_2(B)) | (~v24_waybel_0(B)) | r1_tarski(u1_pre_topc(k14_yellow_6(A!0, k3_waybel28(A!0))), u1_pre_topc(k14_yellow_6(B, k3_waybel28(B)))))) | (~(g1_orders_2(u1_struct_0(A!0), u1_orders_2(A!0)) = g1_orders_2(u1_struct_0(B!1), u1_orders_2(B!1)))) | (~l1_orders_2(B!1)) | (~v2_lattice3(B!1)) | (~v2_orders_2(B!1)) | (~v25_waybel_0(B!1)) | (~v4_orders_2(B!1)) | (~v3_orders_2(B!1)) | (~v24_waybel_0(B!1)) | r1_tarski(u1_pre_topc(k14_yellow_6(A!0, k3_waybel28(A!0))), u1_pre_topc(k14_yellow_6(B!1, k3_waybel28(B!1))))),
% 0.75/0.74 inference(modus_ponens,[status(thm)],[201, 200])).
% 0.75/0.74 tff(203,plain,
% 0.75/0.74 (r1_tarski(u1_pre_topc(k14_yellow_6(A!0, k3_waybel28(A!0))), u1_pre_topc(k14_yellow_6(B!1, k3_waybel28(B!1))))),
% 0.75/0.74 inference(unit_resolution,[status(thm)],[202, 196, 195, 194, 193, 192, 191, 30, 29, 190])).
% 0.75/0.74 tff(204,plain,
% 0.75/0.74 (g1_orders_2(u1_struct_0(B!1), u1_orders_2(B!1)) = g1_orders_2(u1_struct_0(A!0), u1_orders_2(A!0))),
% 0.75/0.74 inference(symmetry,[status(thm)],[196])).
% 0.75/0.74 tff(205,plain,
% 0.75/0.74 (((~![A: $i] : ((~l1_orders_2(A)) | (~v2_lattice3(A)) | (~v2_orders_2(A)) | (~v25_waybel_0(A)) | (~v4_orders_2(A)) | (~v3_orders_2(A)) | (~v24_waybel_0(A)) | ![B: $i] : (r1_tarski(u1_pre_topc(k14_yellow_6(A, k3_waybel28(A))), u1_pre_topc(k14_yellow_6(B, k3_waybel28(B)))) | (~l1_orders_2(B)) | (~(g1_orders_2(u1_struct_0(A), u1_orders_2(A)) = g1_orders_2(u1_struct_0(B), u1_orders_2(B)))) | (~v2_lattice3(B)) | (~v2_orders_2(B)) | (~v25_waybel_0(B)) | (~v4_orders_2(B)) | (~v3_orders_2(B)) | (~v24_waybel_0(B))))) | ((~l1_orders_2(B!1)) | (~v2_lattice3(B!1)) | (~v2_orders_2(B!1)) | (~v25_waybel_0(B!1)) | (~v4_orders_2(B!1)) | (~v3_orders_2(B!1)) | (~v24_waybel_0(B!1)) | ![B: $i] : ((~l1_orders_2(B)) | (~v2_lattice3(B)) | (~v2_orders_2(B)) | (~v25_waybel_0(B)) | (~v4_orders_2(B)) | (~v3_orders_2(B)) | (~v24_waybel_0(B)) | r1_tarski(u1_pre_topc(k14_yellow_6(B!1, k3_waybel28(B!1))), u1_pre_topc(k14_yellow_6(B, k3_waybel28(B)))) | (~(g1_orders_2(u1_struct_0(B!1), u1_orders_2(B!1)) = g1_orders_2(u1_struct_0(B), u1_orders_2(B))))))) <=> ((~![A: $i] : ((~l1_orders_2(A)) | (~v2_lattice3(A)) | (~v2_orders_2(A)) | (~v25_waybel_0(A)) | (~v4_orders_2(A)) | (~v3_orders_2(A)) | (~v24_waybel_0(A)) | ![B: $i] : (r1_tarski(u1_pre_topc(k14_yellow_6(A, k3_waybel28(A))), u1_pre_topc(k14_yellow_6(B, k3_waybel28(B)))) | (~l1_orders_2(B)) | (~(g1_orders_2(u1_struct_0(A), u1_orders_2(A)) = g1_orders_2(u1_struct_0(B), u1_orders_2(B)))) | (~v2_lattice3(B)) | (~v2_orders_2(B)) | (~v25_waybel_0(B)) | (~v4_orders_2(B)) | (~v3_orders_2(B)) | (~v24_waybel_0(B))))) | (~l1_orders_2(B!1)) | (~v2_lattice3(B!1)) | (~v2_orders_2(B!1)) | (~v25_waybel_0(B!1)) | (~v4_orders_2(B!1)) | (~v3_orders_2(B!1)) | (~v24_waybel_0(B!1)) | ![B: $i] : ((~l1_orders_2(B)) | (~v2_lattice3(B)) | (~v2_orders_2(B)) | (~v25_waybel_0(B)) | (~v4_orders_2(B)) | (~v3_orders_2(B)) | (~v24_waybel_0(B)) | r1_tarski(u1_pre_topc(k14_yellow_6(B!1, k3_waybel28(B!1))), u1_pre_topc(k14_yellow_6(B, k3_waybel28(B)))) | (~(g1_orders_2(u1_struct_0(B!1), u1_orders_2(B!1)) = g1_orders_2(u1_struct_0(B), u1_orders_2(B))))))),
% 0.75/0.74 inference(rewrite,[status(thm)],[])).
% 0.75/0.74 tff(206,plain,
% 0.75/0.74 (((~l1_orders_2(B!1)) | (~v2_lattice3(B!1)) | (~v2_orders_2(B!1)) | (~v25_waybel_0(B!1)) | (~v4_orders_2(B!1)) | (~v3_orders_2(B!1)) | (~v24_waybel_0(B!1)) | ![B: $i] : ((~l1_orders_2(B)) | (~v2_lattice3(B)) | (~v2_orders_2(B)) | (~v25_waybel_0(B)) | (~v4_orders_2(B)) | (~v3_orders_2(B)) | (~v24_waybel_0(B)) | r1_tarski(u1_pre_topc(k14_yellow_6(B!1, k3_waybel28(B!1))), u1_pre_topc(k14_yellow_6(B, k3_waybel28(B)))) | (~(g1_orders_2(u1_struct_0(B!1), u1_orders_2(B!1)) = g1_orders_2(u1_struct_0(B), u1_orders_2(B)))))) <=> ((~l1_orders_2(B!1)) | (~v2_lattice3(B!1)) | (~v2_orders_2(B!1)) | (~v25_waybel_0(B!1)) | (~v4_orders_2(B!1)) | (~v3_orders_2(B!1)) | (~v24_waybel_0(B!1)) | ![B: $i] : ((~l1_orders_2(B)) | (~v2_lattice3(B)) | (~v2_orders_2(B)) | (~v25_waybel_0(B)) | (~v4_orders_2(B)) | (~v3_orders_2(B)) | (~v24_waybel_0(B)) | r1_tarski(u1_pre_topc(k14_yellow_6(B!1, k3_waybel28(B!1))), u1_pre_topc(k14_yellow_6(B, k3_waybel28(B)))) | (~(g1_orders_2(u1_struct_0(B!1), u1_orders_2(B!1)) = g1_orders_2(u1_struct_0(B), u1_orders_2(B))))))),
% 0.75/0.74 inference(rewrite,[status(thm)],[])).
% 0.75/0.74 tff(207,plain,
% 0.75/0.74 (^[B: $i] : rewrite((r1_tarski(u1_pre_topc(k14_yellow_6(B!1, k3_waybel28(B!1))), u1_pre_topc(k14_yellow_6(B, k3_waybel28(B)))) | (~l1_orders_2(B)) | (~(g1_orders_2(u1_struct_0(B!1), u1_orders_2(B!1)) = g1_orders_2(u1_struct_0(B), u1_orders_2(B)))) | (~v2_lattice3(B)) | (~v2_orders_2(B)) | (~v25_waybel_0(B)) | (~v4_orders_2(B)) | (~v3_orders_2(B)) | (~v24_waybel_0(B))) <=> ((~l1_orders_2(B)) | (~v2_lattice3(B)) | (~v2_orders_2(B)) | (~v25_waybel_0(B)) | (~v4_orders_2(B)) | (~v3_orders_2(B)) | (~v24_waybel_0(B)) | r1_tarski(u1_pre_topc(k14_yellow_6(B!1, k3_waybel28(B!1))), u1_pre_topc(k14_yellow_6(B, k3_waybel28(B)))) | (~(g1_orders_2(u1_struct_0(B!1), u1_orders_2(B!1)) = g1_orders_2(u1_struct_0(B), u1_orders_2(B))))))),
% 0.75/0.74 inference(bind,[status(th)],[])).
% 0.75/0.74 tff(208,plain,
% 0.75/0.74 (![B: $i] : (r1_tarski(u1_pre_topc(k14_yellow_6(B!1, k3_waybel28(B!1))), u1_pre_topc(k14_yellow_6(B, k3_waybel28(B)))) | (~l1_orders_2(B)) | (~(g1_orders_2(u1_struct_0(B!1), u1_orders_2(B!1)) = g1_orders_2(u1_struct_0(B), u1_orders_2(B)))) | (~v2_lattice3(B)) | (~v2_orders_2(B)) | (~v25_waybel_0(B)) | (~v4_orders_2(B)) | (~v3_orders_2(B)) | (~v24_waybel_0(B))) <=> ![B: $i] : ((~l1_orders_2(B)) | (~v2_lattice3(B)) | (~v2_orders_2(B)) | (~v25_waybel_0(B)) | (~v4_orders_2(B)) | (~v3_orders_2(B)) | (~v24_waybel_0(B)) | r1_tarski(u1_pre_topc(k14_yellow_6(B!1, k3_waybel28(B!1))), u1_pre_topc(k14_yellow_6(B, k3_waybel28(B)))) | (~(g1_orders_2(u1_struct_0(B!1), u1_orders_2(B!1)) = g1_orders_2(u1_struct_0(B), u1_orders_2(B)))))),
% 0.75/0.74 inference(quant_intro,[status(thm)],[207])).
% 0.75/0.74 tff(209,plain,
% 0.75/0.74 (((~l1_orders_2(B!1)) | (~v2_lattice3(B!1)) | (~v2_orders_2(B!1)) | (~v25_waybel_0(B!1)) | (~v4_orders_2(B!1)) | (~v3_orders_2(B!1)) | (~v24_waybel_0(B!1)) | ![B: $i] : (r1_tarski(u1_pre_topc(k14_yellow_6(B!1, k3_waybel28(B!1))), u1_pre_topc(k14_yellow_6(B, k3_waybel28(B)))) | (~l1_orders_2(B)) | (~(g1_orders_2(u1_struct_0(B!1), u1_orders_2(B!1)) = g1_orders_2(u1_struct_0(B), u1_orders_2(B)))) | (~v2_lattice3(B)) | (~v2_orders_2(B)) | (~v25_waybel_0(B)) | (~v4_orders_2(B)) | (~v3_orders_2(B)) | (~v24_waybel_0(B)))) <=> ((~l1_orders_2(B!1)) | (~v2_lattice3(B!1)) | (~v2_orders_2(B!1)) | (~v25_waybel_0(B!1)) | (~v4_orders_2(B!1)) | (~v3_orders_2(B!1)) | (~v24_waybel_0(B!1)) | ![B: $i] : ((~l1_orders_2(B)) | (~v2_lattice3(B)) | (~v2_orders_2(B)) | (~v25_waybel_0(B)) | (~v4_orders_2(B)) | (~v3_orders_2(B)) | (~v24_waybel_0(B)) | r1_tarski(u1_pre_topc(k14_yellow_6(B!1, k3_waybel28(B!1))), u1_pre_topc(k14_yellow_6(B, k3_waybel28(B)))) | (~(g1_orders_2(u1_struct_0(B!1), u1_orders_2(B!1)) = g1_orders_2(u1_struct_0(B), u1_orders_2(B))))))),
% 0.75/0.74 inference(monotonicity,[status(thm)],[208])).
% 0.75/0.74 tff(210,plain,
% 0.75/0.74 (((~l1_orders_2(B!1)) | (~v2_lattice3(B!1)) | (~v2_orders_2(B!1)) | (~v25_waybel_0(B!1)) | (~v4_orders_2(B!1)) | (~v3_orders_2(B!1)) | (~v24_waybel_0(B!1)) | ![B: $i] : (r1_tarski(u1_pre_topc(k14_yellow_6(B!1, k3_waybel28(B!1))), u1_pre_topc(k14_yellow_6(B, k3_waybel28(B)))) | (~l1_orders_2(B)) | (~(g1_orders_2(u1_struct_0(B!1), u1_orders_2(B!1)) = g1_orders_2(u1_struct_0(B), u1_orders_2(B)))) | (~v2_lattice3(B)) | (~v2_orders_2(B)) | (~v25_waybel_0(B)) | (~v4_orders_2(B)) | (~v3_orders_2(B)) | (~v24_waybel_0(B)))) <=> ((~l1_orders_2(B!1)) | (~v2_lattice3(B!1)) | (~v2_orders_2(B!1)) | (~v25_waybel_0(B!1)) | (~v4_orders_2(B!1)) | (~v3_orders_2(B!1)) | (~v24_waybel_0(B!1)) | ![B: $i] : ((~l1_orders_2(B)) | (~v2_lattice3(B)) | (~v2_orders_2(B)) | (~v25_waybel_0(B)) | (~v4_orders_2(B)) | (~v3_orders_2(B)) | (~v24_waybel_0(B)) | r1_tarski(u1_pre_topc(k14_yellow_6(B!1, k3_waybel28(B!1))), u1_pre_topc(k14_yellow_6(B, k3_waybel28(B)))) | (~(g1_orders_2(u1_struct_0(B!1), u1_orders_2(B!1)) = g1_orders_2(u1_struct_0(B), u1_orders_2(B))))))),
% 0.75/0.74 inference(transitivity,[status(thm)],[209, 206])).
% 0.75/0.74 tff(211,plain,
% 0.75/0.74 (((~![A: $i] : ((~l1_orders_2(A)) | (~v2_lattice3(A)) | (~v2_orders_2(A)) | (~v25_waybel_0(A)) | (~v4_orders_2(A)) | (~v3_orders_2(A)) | (~v24_waybel_0(A)) | ![B: $i] : (r1_tarski(u1_pre_topc(k14_yellow_6(A, k3_waybel28(A))), u1_pre_topc(k14_yellow_6(B, k3_waybel28(B)))) | (~l1_orders_2(B)) | (~(g1_orders_2(u1_struct_0(A), u1_orders_2(A)) = g1_orders_2(u1_struct_0(B), u1_orders_2(B)))) | (~v2_lattice3(B)) | (~v2_orders_2(B)) | (~v25_waybel_0(B)) | (~v4_orders_2(B)) | (~v3_orders_2(B)) | (~v24_waybel_0(B))))) | ((~l1_orders_2(B!1)) | (~v2_lattice3(B!1)) | (~v2_orders_2(B!1)) | (~v25_waybel_0(B!1)) | (~v4_orders_2(B!1)) | (~v3_orders_2(B!1)) | (~v24_waybel_0(B!1)) | ![B: $i] : (r1_tarski(u1_pre_topc(k14_yellow_6(B!1, k3_waybel28(B!1))), u1_pre_topc(k14_yellow_6(B, k3_waybel28(B)))) | (~l1_orders_2(B)) | (~(g1_orders_2(u1_struct_0(B!1), u1_orders_2(B!1)) = g1_orders_2(u1_struct_0(B), u1_orders_2(B)))) | (~v2_lattice3(B)) | (~v2_orders_2(B)) | (~v25_waybel_0(B)) | (~v4_orders_2(B)) | (~v3_orders_2(B)) | (~v24_waybel_0(B))))) <=> ((~![A: $i] : ((~l1_orders_2(A)) | (~v2_lattice3(A)) | (~v2_orders_2(A)) | (~v25_waybel_0(A)) | (~v4_orders_2(A)) | (~v3_orders_2(A)) | (~v24_waybel_0(A)) | ![B: $i] : (r1_tarski(u1_pre_topc(k14_yellow_6(A, k3_waybel28(A))), u1_pre_topc(k14_yellow_6(B, k3_waybel28(B)))) | (~l1_orders_2(B)) | (~(g1_orders_2(u1_struct_0(A), u1_orders_2(A)) = g1_orders_2(u1_struct_0(B), u1_orders_2(B)))) | (~v2_lattice3(B)) | (~v2_orders_2(B)) | (~v25_waybel_0(B)) | (~v4_orders_2(B)) | (~v3_orders_2(B)) | (~v24_waybel_0(B))))) | ((~l1_orders_2(B!1)) | (~v2_lattice3(B!1)) | (~v2_orders_2(B!1)) | (~v25_waybel_0(B!1)) | (~v4_orders_2(B!1)) | (~v3_orders_2(B!1)) | (~v24_waybel_0(B!1)) | ![B: $i] : ((~l1_orders_2(B)) | (~v2_lattice3(B)) | (~v2_orders_2(B)) | (~v25_waybel_0(B)) | (~v4_orders_2(B)) | (~v3_orders_2(B)) | (~v24_waybel_0(B)) | r1_tarski(u1_pre_topc(k14_yellow_6(B!1, k3_waybel28(B!1))), u1_pre_topc(k14_yellow_6(B, k3_waybel28(B)))) | (~(g1_orders_2(u1_struct_0(B!1), u1_orders_2(B!1)) = g1_orders_2(u1_struct_0(B), u1_orders_2(B)))))))),
% 0.75/0.74 inference(monotonicity,[status(thm)],[210])).
% 0.75/0.74 tff(212,plain,
% 0.75/0.74 (((~![A: $i] : ((~l1_orders_2(A)) | (~v2_lattice3(A)) | (~v2_orders_2(A)) | (~v25_waybel_0(A)) | (~v4_orders_2(A)) | (~v3_orders_2(A)) | (~v24_waybel_0(A)) | ![B: $i] : (r1_tarski(u1_pre_topc(k14_yellow_6(A, k3_waybel28(A))), u1_pre_topc(k14_yellow_6(B, k3_waybel28(B)))) | (~l1_orders_2(B)) | (~(g1_orders_2(u1_struct_0(A), u1_orders_2(A)) = g1_orders_2(u1_struct_0(B), u1_orders_2(B)))) | (~v2_lattice3(B)) | (~v2_orders_2(B)) | (~v25_waybel_0(B)) | (~v4_orders_2(B)) | (~v3_orders_2(B)) | (~v24_waybel_0(B))))) | ((~l1_orders_2(B!1)) | (~v2_lattice3(B!1)) | (~v2_orders_2(B!1)) | (~v25_waybel_0(B!1)) | (~v4_orders_2(B!1)) | (~v3_orders_2(B!1)) | (~v24_waybel_0(B!1)) | ![B: $i] : (r1_tarski(u1_pre_topc(k14_yellow_6(B!1, k3_waybel28(B!1))), u1_pre_topc(k14_yellow_6(B, k3_waybel28(B)))) | (~l1_orders_2(B)) | (~(g1_orders_2(u1_struct_0(B!1), u1_orders_2(B!1)) = g1_orders_2(u1_struct_0(B), u1_orders_2(B)))) | (~v2_lattice3(B)) | (~v2_orders_2(B)) | (~v25_waybel_0(B)) | (~v4_orders_2(B)) | (~v3_orders_2(B)) | (~v24_waybel_0(B))))) <=> ((~![A: $i] : ((~l1_orders_2(A)) | (~v2_lattice3(A)) | (~v2_orders_2(A)) | (~v25_waybel_0(A)) | (~v4_orders_2(A)) | (~v3_orders_2(A)) | (~v24_waybel_0(A)) | ![B: $i] : (r1_tarski(u1_pre_topc(k14_yellow_6(A, k3_waybel28(A))), u1_pre_topc(k14_yellow_6(B, k3_waybel28(B)))) | (~l1_orders_2(B)) | (~(g1_orders_2(u1_struct_0(A), u1_orders_2(A)) = g1_orders_2(u1_struct_0(B), u1_orders_2(B)))) | (~v2_lattice3(B)) | (~v2_orders_2(B)) | (~v25_waybel_0(B)) | (~v4_orders_2(B)) | (~v3_orders_2(B)) | (~v24_waybel_0(B))))) | (~l1_orders_2(B!1)) | (~v2_lattice3(B!1)) | (~v2_orders_2(B!1)) | (~v25_waybel_0(B!1)) | (~v4_orders_2(B!1)) | (~v3_orders_2(B!1)) | (~v24_waybel_0(B!1)) | ![B: $i] : ((~l1_orders_2(B)) | (~v2_lattice3(B)) | (~v2_orders_2(B)) | (~v25_waybel_0(B)) | (~v4_orders_2(B)) | (~v3_orders_2(B)) | (~v24_waybel_0(B)) | r1_tarski(u1_pre_topc(k14_yellow_6(B!1, k3_waybel28(B!1))), u1_pre_topc(k14_yellow_6(B, k3_waybel28(B)))) | (~(g1_orders_2(u1_struct_0(B!1), u1_orders_2(B!1)) = g1_orders_2(u1_struct_0(B), u1_orders_2(B))))))),
% 0.75/0.74 inference(transitivity,[status(thm)],[211, 205])).
% 0.75/0.74 tff(213,plain,
% 0.75/0.74 ((~![A: $i] : ((~l1_orders_2(A)) | (~v2_lattice3(A)) | (~v2_orders_2(A)) | (~v25_waybel_0(A)) | (~v4_orders_2(A)) | (~v3_orders_2(A)) | (~v24_waybel_0(A)) | ![B: $i] : (r1_tarski(u1_pre_topc(k14_yellow_6(A, k3_waybel28(A))), u1_pre_topc(k14_yellow_6(B, k3_waybel28(B)))) | (~l1_orders_2(B)) | (~(g1_orders_2(u1_struct_0(A), u1_orders_2(A)) = g1_orders_2(u1_struct_0(B), u1_orders_2(B)))) | (~v2_lattice3(B)) | (~v2_orders_2(B)) | (~v25_waybel_0(B)) | (~v4_orders_2(B)) | (~v3_orders_2(B)) | (~v24_waybel_0(B))))) | ((~l1_orders_2(B!1)) | (~v2_lattice3(B!1)) | (~v2_orders_2(B!1)) | (~v25_waybel_0(B!1)) | (~v4_orders_2(B!1)) | (~v3_orders_2(B!1)) | (~v24_waybel_0(B!1)) | ![B: $i] : (r1_tarski(u1_pre_topc(k14_yellow_6(B!1, k3_waybel28(B!1))), u1_pre_topc(k14_yellow_6(B, k3_waybel28(B)))) | (~l1_orders_2(B)) | (~(g1_orders_2(u1_struct_0(B!1), u1_orders_2(B!1)) = g1_orders_2(u1_struct_0(B), u1_orders_2(B)))) | (~v2_lattice3(B)) | (~v2_orders_2(B)) | (~v25_waybel_0(B)) | (~v4_orders_2(B)) | (~v3_orders_2(B)) | (~v24_waybel_0(B))))),
% 0.75/0.74 inference(quant_inst,[status(thm)],[])).
% 0.75/0.74 tff(214,plain,
% 0.75/0.74 ((~![A: $i] : ((~l1_orders_2(A)) | (~v2_lattice3(A)) | (~v2_orders_2(A)) | (~v25_waybel_0(A)) | (~v4_orders_2(A)) | (~v3_orders_2(A)) | (~v24_waybel_0(A)) | ![B: $i] : (r1_tarski(u1_pre_topc(k14_yellow_6(A, k3_waybel28(A))), u1_pre_topc(k14_yellow_6(B, k3_waybel28(B)))) | (~l1_orders_2(B)) | (~(g1_orders_2(u1_struct_0(A), u1_orders_2(A)) = g1_orders_2(u1_struct_0(B), u1_orders_2(B)))) | (~v2_lattice3(B)) | (~v2_orders_2(B)) | (~v25_waybel_0(B)) | (~v4_orders_2(B)) | (~v3_orders_2(B)) | (~v24_waybel_0(B))))) | (~l1_orders_2(B!1)) | (~v2_lattice3(B!1)) | (~v2_orders_2(B!1)) | (~v25_waybel_0(B!1)) | (~v4_orders_2(B!1)) | (~v3_orders_2(B!1)) | (~v24_waybel_0(B!1)) | ![B: $i] : ((~l1_orders_2(B)) | (~v2_lattice3(B)) | (~v2_orders_2(B)) | (~v25_waybel_0(B)) | (~v4_orders_2(B)) | (~v3_orders_2(B)) | (~v24_waybel_0(B)) | r1_tarski(u1_pre_topc(k14_yellow_6(B!1, k3_waybel28(B!1))), u1_pre_topc(k14_yellow_6(B, k3_waybel28(B)))) | (~(g1_orders_2(u1_struct_0(B!1), u1_orders_2(B!1)) = g1_orders_2(u1_struct_0(B), u1_orders_2(B)))))),
% 0.75/0.74 inference(modus_ponens,[status(thm)],[213, 212])).
% 0.75/0.74 tff(215,plain,
% 0.75/0.74 (![B: $i] : ((~l1_orders_2(B)) | (~v2_lattice3(B)) | (~v2_orders_2(B)) | (~v25_waybel_0(B)) | (~v4_orders_2(B)) | (~v3_orders_2(B)) | (~v24_waybel_0(B)) | r1_tarski(u1_pre_topc(k14_yellow_6(B!1, k3_waybel28(B!1))), u1_pre_topc(k14_yellow_6(B, k3_waybel28(B)))) | (~(g1_orders_2(u1_struct_0(B!1), u1_orders_2(B!1)) = g1_orders_2(u1_struct_0(B), u1_orders_2(B)))))),
% 0.75/0.75 inference(unit_resolution,[status(thm)],[214, 195, 194, 193, 192, 191, 30, 29, 172])).
% 0.75/0.75 tff(216,plain,
% 0.75/0.75 (((~![B: $i] : ((~l1_orders_2(B)) | (~v2_lattice3(B)) | (~v2_orders_2(B)) | (~v25_waybel_0(B)) | (~v4_orders_2(B)) | (~v3_orders_2(B)) | (~v24_waybel_0(B)) | r1_tarski(u1_pre_topc(k14_yellow_6(B!1, k3_waybel28(B!1))), u1_pre_topc(k14_yellow_6(B, k3_waybel28(B)))) | (~(g1_orders_2(u1_struct_0(B!1), u1_orders_2(B!1)) = g1_orders_2(u1_struct_0(B), u1_orders_2(B)))))) | ((~l1_orders_2(A!0)) | (~v2_lattice3(A!0)) | (~v2_orders_2(A!0)) | (~v25_waybel_0(A!0)) | (~v4_orders_2(A!0)) | (~v3_orders_2(A!0)) | (~v24_waybel_0(A!0)) | r1_tarski(u1_pre_topc(k14_yellow_6(B!1, k3_waybel28(B!1))), u1_pre_topc(k14_yellow_6(A!0, k3_waybel28(A!0)))) | (~(g1_orders_2(u1_struct_0(B!1), u1_orders_2(B!1)) = g1_orders_2(u1_struct_0(A!0), u1_orders_2(A!0)))))) <=> ((~![B: $i] : ((~l1_orders_2(B)) | (~v2_lattice3(B)) | (~v2_orders_2(B)) | (~v25_waybel_0(B)) | (~v4_orders_2(B)) | (~v3_orders_2(B)) | (~v24_waybel_0(B)) | r1_tarski(u1_pre_topc(k14_yellow_6(B!1, k3_waybel28(B!1))), u1_pre_topc(k14_yellow_6(B, k3_waybel28(B)))) | (~(g1_orders_2(u1_struct_0(B!1), u1_orders_2(B!1)) = g1_orders_2(u1_struct_0(B), u1_orders_2(B)))))) | (~l1_orders_2(A!0)) | (~v2_lattice3(A!0)) | (~v2_orders_2(A!0)) | (~v25_waybel_0(A!0)) | (~v4_orders_2(A!0)) | (~v3_orders_2(A!0)) | (~v24_waybel_0(A!0)) | r1_tarski(u1_pre_topc(k14_yellow_6(B!1, k3_waybel28(B!1))), u1_pre_topc(k14_yellow_6(A!0, k3_waybel28(A!0)))) | (~(g1_orders_2(u1_struct_0(B!1), u1_orders_2(B!1)) = g1_orders_2(u1_struct_0(A!0), u1_orders_2(A!0)))))),
% 0.75/0.75 inference(rewrite,[status(thm)],[])).
% 0.75/0.75 tff(217,plain,
% 0.75/0.75 ((~![B: $i] : ((~l1_orders_2(B)) | (~v2_lattice3(B)) | (~v2_orders_2(B)) | (~v25_waybel_0(B)) | (~v4_orders_2(B)) | (~v3_orders_2(B)) | (~v24_waybel_0(B)) | r1_tarski(u1_pre_topc(k14_yellow_6(B!1, k3_waybel28(B!1))), u1_pre_topc(k14_yellow_6(B, k3_waybel28(B)))) | (~(g1_orders_2(u1_struct_0(B!1), u1_orders_2(B!1)) = g1_orders_2(u1_struct_0(B), u1_orders_2(B)))))) | ((~l1_orders_2(A!0)) | (~v2_lattice3(A!0)) | (~v2_orders_2(A!0)) | (~v25_waybel_0(A!0)) | (~v4_orders_2(A!0)) | (~v3_orders_2(A!0)) | (~v24_waybel_0(A!0)) | r1_tarski(u1_pre_topc(k14_yellow_6(B!1, k3_waybel28(B!1))), u1_pre_topc(k14_yellow_6(A!0, k3_waybel28(A!0)))) | (~(g1_orders_2(u1_struct_0(B!1), u1_orders_2(B!1)) = g1_orders_2(u1_struct_0(A!0), u1_orders_2(A!0)))))),
% 0.75/0.75 inference(quant_inst,[status(thm)],[])).
% 0.75/0.75 tff(218,plain,
% 0.75/0.75 ((~![B: $i] : ((~l1_orders_2(B)) | (~v2_lattice3(B)) | (~v2_orders_2(B)) | (~v25_waybel_0(B)) | (~v4_orders_2(B)) | (~v3_orders_2(B)) | (~v24_waybel_0(B)) | r1_tarski(u1_pre_topc(k14_yellow_6(B!1, k3_waybel28(B!1))), u1_pre_topc(k14_yellow_6(B, k3_waybel28(B)))) | (~(g1_orders_2(u1_struct_0(B!1), u1_orders_2(B!1)) = g1_orders_2(u1_struct_0(B), u1_orders_2(B)))))) | (~l1_orders_2(A!0)) | (~v2_lattice3(A!0)) | (~v2_orders_2(A!0)) | (~v25_waybel_0(A!0)) | (~v4_orders_2(A!0)) | (~v3_orders_2(A!0)) | (~v24_waybel_0(A!0)) | r1_tarski(u1_pre_topc(k14_yellow_6(B!1, k3_waybel28(B!1))), u1_pre_topc(k14_yellow_6(A!0, k3_waybel28(A!0)))) | (~(g1_orders_2(u1_struct_0(B!1), u1_orders_2(B!1)) = g1_orders_2(u1_struct_0(A!0), u1_orders_2(A!0))))),
% 0.75/0.75 inference(modus_ponens,[status(thm)],[217, 216])).
% 0.75/0.75 tff(219,plain,
% 0.75/0.75 (r1_tarski(u1_pre_topc(k14_yellow_6(B!1, k3_waybel28(B!1))), u1_pre_topc(k14_yellow_6(A!0, k3_waybel28(A!0))))),
% 0.75/0.75 inference(unit_resolution,[status(thm)],[218, 179, 178, 177, 176, 175, 174, 173, 215, 204])).
% 0.75/0.75 tff(220,plain,
% 0.75/0.75 ((~((~r1_tarski(u1_pre_topc(k14_yellow_6(A!0, k3_waybel28(A!0))), u1_pre_topc(k14_yellow_6(B!1, k3_waybel28(B!1))))) | (~r1_tarski(u1_pre_topc(k14_yellow_6(B!1, k3_waybel28(B!1))), u1_pre_topc(k14_yellow_6(A!0, k3_waybel28(A!0))))))) | (~r1_tarski(u1_pre_topc(k14_yellow_6(A!0, k3_waybel28(A!0))), u1_pre_topc(k14_yellow_6(B!1, k3_waybel28(B!1))))) | (~r1_tarski(u1_pre_topc(k14_yellow_6(B!1, k3_waybel28(B!1))), u1_pre_topc(k14_yellow_6(A!0, k3_waybel28(A!0)))))),
% 0.75/0.75 inference(tautology,[status(thm)],[])).
% 0.75/0.75 tff(221,plain,
% 0.75/0.75 (~((~r1_tarski(u1_pre_topc(k14_yellow_6(A!0, k3_waybel28(A!0))), u1_pre_topc(k14_yellow_6(B!1, k3_waybel28(B!1))))) | (~r1_tarski(u1_pre_topc(k14_yellow_6(B!1, k3_waybel28(B!1))), u1_pre_topc(k14_yellow_6(A!0, k3_waybel28(A!0))))))),
% 0.75/0.75 inference(unit_resolution,[status(thm)],[220, 219, 203])).
% 0.75/0.75 tff(222,plain,
% 0.75/0.75 ((~((u1_pre_topc(k14_yellow_6(B!1, k3_waybel28(B!1))) = u1_pre_topc(k14_yellow_6(A!0, k3_waybel28(A!0)))) <=> (~((~r1_tarski(u1_pre_topc(k14_yellow_6(A!0, k3_waybel28(A!0))), u1_pre_topc(k14_yellow_6(B!1, k3_waybel28(B!1))))) | (~r1_tarski(u1_pre_topc(k14_yellow_6(B!1, k3_waybel28(B!1))), u1_pre_topc(k14_yellow_6(A!0, k3_waybel28(A!0))))))))) | (u1_pre_topc(k14_yellow_6(B!1, k3_waybel28(B!1))) = u1_pre_topc(k14_yellow_6(A!0, k3_waybel28(A!0)))) | ((~r1_tarski(u1_pre_topc(k14_yellow_6(A!0, k3_waybel28(A!0))), u1_pre_topc(k14_yellow_6(B!1, k3_waybel28(B!1))))) | (~r1_tarski(u1_pre_topc(k14_yellow_6(B!1, k3_waybel28(B!1))), u1_pre_topc(k14_yellow_6(A!0, k3_waybel28(A!0))))))),
% 0.75/0.75 inference(tautology,[status(thm)],[])).
% 0.75/0.75 tff(223,plain,
% 0.75/0.75 ((~((u1_pre_topc(k14_yellow_6(B!1, k3_waybel28(B!1))) = u1_pre_topc(k14_yellow_6(A!0, k3_waybel28(A!0)))) <=> (~((~r1_tarski(u1_pre_topc(k14_yellow_6(A!0, k3_waybel28(A!0))), u1_pre_topc(k14_yellow_6(B!1, k3_waybel28(B!1))))) | (~r1_tarski(u1_pre_topc(k14_yellow_6(B!1, k3_waybel28(B!1))), u1_pre_topc(k14_yellow_6(A!0, k3_waybel28(A!0))))))))) | (u1_pre_topc(k14_yellow_6(B!1, k3_waybel28(B!1))) = u1_pre_topc(k14_yellow_6(A!0, k3_waybel28(A!0))))),
% 0.75/0.75 inference(unit_resolution,[status(thm)],[222, 221])).
% 0.75/0.75 tff(224,plain,
% 0.75/0.75 (u1_pre_topc(k14_yellow_6(B!1, k3_waybel28(B!1))) = u1_pre_topc(k14_yellow_6(A!0, k3_waybel28(A!0)))),
% 0.75/0.75 inference(unit_resolution,[status(thm)],[223, 156])).
% 0.75/0.75 tff(225,plain,
% 0.75/0.75 (u1_pre_topc(k14_yellow_6(A!0, k3_waybel28(A!0))) = u1_pre_topc(k14_yellow_6(B!1, k3_waybel28(B!1)))),
% 0.75/0.75 inference(symmetry,[status(thm)],[224])).
% 0.75/0.75 tff(226,plain,
% 0.75/0.75 (u1_struct_0(k14_yellow_6(B!1, k3_waybel28(B!1))) = u1_struct_0(g1_pre_topc(u1_struct_0(k14_yellow_6(B!1, k3_waybel28(B!1))), u1_pre_topc(k14_yellow_6(B!1, k3_waybel28(B!1)))))),
% 0.75/0.75 inference(monotonicity,[status(thm)],[138])).
% 0.75/0.75 tff(227,plain,
% 0.75/0.75 (u1_struct_0(g1_pre_topc(u1_struct_0(k14_yellow_6(B!1, k3_waybel28(B!1))), u1_pre_topc(k14_yellow_6(B!1, k3_waybel28(B!1))))) = u1_struct_0(k14_yellow_6(B!1, k3_waybel28(B!1)))),
% 0.75/0.75 inference(symmetry,[status(thm)],[226])).
% 0.75/0.75 tff(228,plain,
% 0.75/0.75 (v1_pre_topc(g1_pre_topc(u1_struct_0(k14_yellow_6(B!1, k3_waybel28(B!1))), u1_pre_topc(k14_yellow_6(B!1, k3_waybel28(B!1))))) <=> v1_pre_topc(k14_yellow_6(B!1, k3_waybel28(B!1)))),
% 0.75/0.75 inference(monotonicity,[status(thm)],[139])).
% 0.75/0.75 tff(229,plain,
% 0.75/0.75 (v1_pre_topc(k14_yellow_6(B!1, k3_waybel28(B!1))) <=> v1_pre_topc(g1_pre_topc(u1_struct_0(k14_yellow_6(B!1, k3_waybel28(B!1))), u1_pre_topc(k14_yellow_6(B!1, k3_waybel28(B!1)))))),
% 0.75/0.75 inference(symmetry,[status(thm)],[228])).
% 0.75/0.75 tff(230,plain,
% 0.75/0.75 (v1_pre_topc(g1_pre_topc(u1_struct_0(k14_yellow_6(B!1, k3_waybel28(B!1))), u1_pre_topc(k14_yellow_6(B!1, k3_waybel28(B!1)))))),
% 0.75/0.75 inference(modus_ponens,[status(thm)],[121, 229])).
% 0.75/0.75 tff(231,plain,
% 0.75/0.75 (l1_pre_topc(g1_pre_topc(u1_struct_0(k14_yellow_6(B!1, k3_waybel28(B!1))), u1_pre_topc(k14_yellow_6(B!1, k3_waybel28(B!1))))) <=> l1_pre_topc(k14_yellow_6(B!1, k3_waybel28(B!1)))),
% 0.75/0.75 inference(monotonicity,[status(thm)],[139])).
% 0.75/0.75 tff(232,plain,
% 0.75/0.75 (l1_pre_topc(k14_yellow_6(B!1, k3_waybel28(B!1))) <=> l1_pre_topc(g1_pre_topc(u1_struct_0(k14_yellow_6(B!1, k3_waybel28(B!1))), u1_pre_topc(k14_yellow_6(B!1, k3_waybel28(B!1)))))),
% 0.75/0.75 inference(symmetry,[status(thm)],[231])).
% 0.75/0.75 tff(233,plain,
% 0.75/0.75 (l1_pre_topc(g1_pre_topc(u1_struct_0(k14_yellow_6(B!1, k3_waybel28(B!1))), u1_pre_topc(k14_yellow_6(B!1, k3_waybel28(B!1)))))),
% 0.75/0.75 inference(modus_ponens,[status(thm)],[98, 232])).
% 0.75/0.75 tff(234,plain,
% 0.75/0.75 (^[A: $i] : refl((v3_struct_0(A) | (~l1_struct_0(A)) | ![B: $i] : ((~m4_yellow_6(B, A)) | ![C: $i] : ((~v1_pre_topc(C)) | (~l1_pre_topc(C)) | ((C = k14_yellow_6(A, B)) <=> (~((~(u1_struct_0(C) = u1_struct_0(A))) | (~(u1_pre_topc(C) = a_2_1_yellow_6(A, B))))))))) <=> (v3_struct_0(A) | (~l1_struct_0(A)) | ![B: $i] : ((~m4_yellow_6(B, A)) | ![C: $i] : ((~v1_pre_topc(C)) | (~l1_pre_topc(C)) | ((C = k14_yellow_6(A, B)) <=> (~((~(u1_struct_0(C) = u1_struct_0(A))) | (~(u1_pre_topc(C) = a_2_1_yellow_6(A, B))))))))))),
% 0.75/0.75 inference(bind,[status(th)],[])).
% 0.75/0.75 tff(235,plain,
% 0.75/0.75 (![A: $i] : (v3_struct_0(A) | (~l1_struct_0(A)) | ![B: $i] : ((~m4_yellow_6(B, A)) | ![C: $i] : ((~v1_pre_topc(C)) | (~l1_pre_topc(C)) | ((C = k14_yellow_6(A, B)) <=> (~((~(u1_struct_0(C) = u1_struct_0(A))) | (~(u1_pre_topc(C) = a_2_1_yellow_6(A, B))))))))) <=> ![A: $i] : (v3_struct_0(A) | (~l1_struct_0(A)) | ![B: $i] : ((~m4_yellow_6(B, A)) | ![C: $i] : ((~v1_pre_topc(C)) | (~l1_pre_topc(C)) | ((C = k14_yellow_6(A, B)) <=> (~((~(u1_struct_0(C) = u1_struct_0(A))) | (~(u1_pre_topc(C) = a_2_1_yellow_6(A, B)))))))))),
% 0.75/0.75 inference(quant_intro,[status(thm)],[234])).
% 0.75/0.75 tff(236,plain,
% 0.75/0.75 (^[A: $i] : rewrite((v3_struct_0(A) | (~l1_struct_0(A)) | ![B: $i] : ((~m4_yellow_6(B, A)) | ![C: $i] : ((~v1_pre_topc(C)) | (~l1_pre_topc(C)) | ((C = k14_yellow_6(A, B)) <=> (~((~(u1_struct_0(C) = u1_struct_0(A))) | (~(u1_pre_topc(C) = a_2_1_yellow_6(A, B))))))))) <=> (v3_struct_0(A) | (~l1_struct_0(A)) | ![B: $i] : ((~m4_yellow_6(B, A)) | ![C: $i] : ((~v1_pre_topc(C)) | (~l1_pre_topc(C)) | ((C = k14_yellow_6(A, B)) <=> (~((~(u1_struct_0(C) = u1_struct_0(A))) | (~(u1_pre_topc(C) = a_2_1_yellow_6(A, B))))))))))),
% 0.75/0.75 inference(bind,[status(th)],[])).
% 0.75/0.75 tff(237,plain,
% 0.75/0.75 (![A: $i] : (v3_struct_0(A) | (~l1_struct_0(A)) | ![B: $i] : ((~m4_yellow_6(B, A)) | ![C: $i] : ((~v1_pre_topc(C)) | (~l1_pre_topc(C)) | ((C = k14_yellow_6(A, B)) <=> (~((~(u1_struct_0(C) = u1_struct_0(A))) | (~(u1_pre_topc(C) = a_2_1_yellow_6(A, B))))))))) <=> ![A: $i] : (v3_struct_0(A) | (~l1_struct_0(A)) | ![B: $i] : ((~m4_yellow_6(B, A)) | ![C: $i] : ((~v1_pre_topc(C)) | (~l1_pre_topc(C)) | ((C = k14_yellow_6(A, B)) <=> (~((~(u1_struct_0(C) = u1_struct_0(A))) | (~(u1_pre_topc(C) = a_2_1_yellow_6(A, B)))))))))),
% 0.75/0.75 inference(quant_intro,[status(thm)],[236])).
% 0.75/0.75 tff(238,plain,
% 0.75/0.75 (![A: $i] : (v3_struct_0(A) | (~l1_struct_0(A)) | ![B: $i] : ((~m4_yellow_6(B, A)) | ![C: $i] : ((~v1_pre_topc(C)) | (~l1_pre_topc(C)) | ((C = k14_yellow_6(A, B)) <=> (~((~(u1_struct_0(C) = u1_struct_0(A))) | (~(u1_pre_topc(C) = a_2_1_yellow_6(A, B))))))))) <=> ![A: $i] : (v3_struct_0(A) | (~l1_struct_0(A)) | ![B: $i] : ((~m4_yellow_6(B, A)) | ![C: $i] : ((~v1_pre_topc(C)) | (~l1_pre_topc(C)) | ((C = k14_yellow_6(A, B)) <=> (~((~(u1_struct_0(C) = u1_struct_0(A))) | (~(u1_pre_topc(C) = a_2_1_yellow_6(A, B)))))))))),
% 0.75/0.75 inference(transitivity,[status(thm)],[237, 235])).
% 0.75/0.75 tff(239,plain,
% 0.75/0.75 (^[A: $i] : trans(monotonicity(trans(monotonicity(rewrite(((~v3_struct_0(A)) & l1_struct_0(A)) <=> (~(v3_struct_0(A) | (~l1_struct_0(A))))), ((~((~v3_struct_0(A)) & l1_struct_0(A))) <=> (~(~(v3_struct_0(A) | (~l1_struct_0(A))))))), rewrite((~(~(v3_struct_0(A) | (~l1_struct_0(A))))) <=> (v3_struct_0(A) | (~l1_struct_0(A)))), ((~((~v3_struct_0(A)) & l1_struct_0(A))) <=> (v3_struct_0(A) | (~l1_struct_0(A))))), quant_intro(proof_bind(^[B: $i] : rewrite(((~m4_yellow_6(B, A)) | ![C: $i] : ((~(v1_pre_topc(C) & l1_pre_topc(C))) | ((C = k14_yellow_6(A, B)) <=> ((u1_struct_0(C) = u1_struct_0(A)) & (u1_pre_topc(C) = a_2_1_yellow_6(A, B)))))) <=> ((~m4_yellow_6(B, A)) | ![C: $i] : ((~v1_pre_topc(C)) | (~l1_pre_topc(C)) | ((C = k14_yellow_6(A, B)) <=> (~((~(u1_struct_0(C) = u1_struct_0(A))) | (~(u1_pre_topc(C) = a_2_1_yellow_6(A, B)))))))))), (![B: $i] : ((~m4_yellow_6(B, A)) | ![C: $i] : ((~(v1_pre_topc(C) & l1_pre_topc(C))) | ((C = k14_yellow_6(A, B)) <=> ((u1_struct_0(C) = u1_struct_0(A)) & (u1_pre_topc(C) = a_2_1_yellow_6(A, B)))))) <=> ![B: $i] : ((~m4_yellow_6(B, A)) | ![C: $i] : ((~v1_pre_topc(C)) | (~l1_pre_topc(C)) | ((C = k14_yellow_6(A, B)) <=> (~((~(u1_struct_0(C) = u1_struct_0(A))) | (~(u1_pre_topc(C) = a_2_1_yellow_6(A, B)))))))))), (((~((~v3_struct_0(A)) & l1_struct_0(A))) | ![B: $i] : ((~m4_yellow_6(B, A)) | ![C: $i] : ((~(v1_pre_topc(C) & l1_pre_topc(C))) | ((C = k14_yellow_6(A, B)) <=> ((u1_struct_0(C) = u1_struct_0(A)) & (u1_pre_topc(C) = a_2_1_yellow_6(A, B))))))) <=> ((v3_struct_0(A) | (~l1_struct_0(A))) | ![B: $i] : ((~m4_yellow_6(B, A)) | ![C: $i] : ((~v1_pre_topc(C)) | (~l1_pre_topc(C)) | ((C = k14_yellow_6(A, B)) <=> (~((~(u1_struct_0(C) = u1_struct_0(A))) | (~(u1_pre_topc(C) = a_2_1_yellow_6(A, B))))))))))), rewrite(((v3_struct_0(A) | (~l1_struct_0(A))) | ![B: $i] : ((~m4_yellow_6(B, A)) | ![C: $i] : ((~v1_pre_topc(C)) | (~l1_pre_topc(C)) | ((C = k14_yellow_6(A, B)) <=> (~((~(u1_struct_0(C) = u1_struct_0(A))) | (~(u1_pre_topc(C) = a_2_1_yellow_6(A, B))))))))) <=> (v3_struct_0(A) | (~l1_struct_0(A)) | ![B: $i] : ((~m4_yellow_6(B, A)) | ![C: $i] : ((~v1_pre_topc(C)) | (~l1_pre_topc(C)) | ((C = k14_yellow_6(A, B)) <=> (~((~(u1_struct_0(C) = u1_struct_0(A))) | (~(u1_pre_topc(C) = a_2_1_yellow_6(A, B)))))))))), (((~((~v3_struct_0(A)) & l1_struct_0(A))) | ![B: $i] : ((~m4_yellow_6(B, A)) | ![C: $i] : ((~(v1_pre_topc(C) & l1_pre_topc(C))) | ((C = k14_yellow_6(A, B)) <=> ((u1_struct_0(C) = u1_struct_0(A)) & (u1_pre_topc(C) = a_2_1_yellow_6(A, B))))))) <=> (v3_struct_0(A) | (~l1_struct_0(A)) | ![B: $i] : ((~m4_yellow_6(B, A)) | ![C: $i] : ((~v1_pre_topc(C)) | (~l1_pre_topc(C)) | ((C = k14_yellow_6(A, B)) <=> (~((~(u1_struct_0(C) = u1_struct_0(A))) | (~(u1_pre_topc(C) = a_2_1_yellow_6(A, B)))))))))))),
% 0.75/0.75 inference(bind,[status(th)],[])).
% 0.75/0.75 tff(240,plain,
% 0.75/0.75 (![A: $i] : ((~((~v3_struct_0(A)) & l1_struct_0(A))) | ![B: $i] : ((~m4_yellow_6(B, A)) | ![C: $i] : ((~(v1_pre_topc(C) & l1_pre_topc(C))) | ((C = k14_yellow_6(A, B)) <=> ((u1_struct_0(C) = u1_struct_0(A)) & (u1_pre_topc(C) = a_2_1_yellow_6(A, B))))))) <=> ![A: $i] : (v3_struct_0(A) | (~l1_struct_0(A)) | ![B: $i] : ((~m4_yellow_6(B, A)) | ![C: $i] : ((~v1_pre_topc(C)) | (~l1_pre_topc(C)) | ((C = k14_yellow_6(A, B)) <=> (~((~(u1_struct_0(C) = u1_struct_0(A))) | (~(u1_pre_topc(C) = a_2_1_yellow_6(A, B)))))))))),
% 0.75/0.75 inference(quant_intro,[status(thm)],[239])).
% 0.75/0.75 tff(241,plain,
% 0.75/0.75 (![A: $i] : ((~((~v3_struct_0(A)) & l1_struct_0(A))) | ![B: $i] : ((~m4_yellow_6(B, A)) | ![C: $i] : ((~(v1_pre_topc(C) & l1_pre_topc(C))) | ((C = k14_yellow_6(A, B)) <=> ((u1_struct_0(C) = u1_struct_0(A)) & (u1_pre_topc(C) = a_2_1_yellow_6(A, B))))))) <=> ![A: $i] : ((~((~v3_struct_0(A)) & l1_struct_0(A))) | ![B: $i] : ((~m4_yellow_6(B, A)) | ![C: $i] : ((~(v1_pre_topc(C) & l1_pre_topc(C))) | ((C = k14_yellow_6(A, B)) <=> ((u1_struct_0(C) = u1_struct_0(A)) & (u1_pre_topc(C) = a_2_1_yellow_6(A, B)))))))),
% 0.75/0.75 inference(rewrite,[status(thm)],[])).
% 0.75/0.75 tff(242,plain,
% 0.75/0.75 (^[A: $i] : trans(monotonicity(quant_intro(proof_bind(^[B: $i] : trans(monotonicity(quant_intro(proof_bind(^[C: $i] : rewrite(((v1_pre_topc(C) & l1_pre_topc(C)) => ((C = k14_yellow_6(A, B)) <=> ((u1_struct_0(C) = u1_struct_0(A)) & (u1_pre_topc(C) = a_2_1_yellow_6(A, B))))) <=> ((~(v1_pre_topc(C) & l1_pre_topc(C))) | ((C = k14_yellow_6(A, B)) <=> ((u1_struct_0(C) = u1_struct_0(A)) & (u1_pre_topc(C) = a_2_1_yellow_6(A, B))))))), (![C: $i] : ((v1_pre_topc(C) & l1_pre_topc(C)) => ((C = k14_yellow_6(A, B)) <=> ((u1_struct_0(C) = u1_struct_0(A)) & (u1_pre_topc(C) = a_2_1_yellow_6(A, B))))) <=> ![C: $i] : ((~(v1_pre_topc(C) & l1_pre_topc(C))) | ((C = k14_yellow_6(A, B)) <=> ((u1_struct_0(C) = u1_struct_0(A)) & (u1_pre_topc(C) = a_2_1_yellow_6(A, B))))))), ((m4_yellow_6(B, A) => ![C: $i] : ((v1_pre_topc(C) & l1_pre_topc(C)) => ((C = k14_yellow_6(A, B)) <=> ((u1_struct_0(C) = u1_struct_0(A)) & (u1_pre_topc(C) = a_2_1_yellow_6(A, B)))))) <=> (m4_yellow_6(B, A) => ![C: $i] : ((~(v1_pre_topc(C) & l1_pre_topc(C))) | ((C = k14_yellow_6(A, B)) <=> ((u1_struct_0(C) = u1_struct_0(A)) & (u1_pre_topc(C) = a_2_1_yellow_6(A, B)))))))), rewrite((m4_yellow_6(B, A) => ![C: $i] : ((~(v1_pre_topc(C) & l1_pre_topc(C))) | ((C = k14_yellow_6(A, B)) <=> ((u1_struct_0(C) = u1_struct_0(A)) & (u1_pre_topc(C) = a_2_1_yellow_6(A, B)))))) <=> ((~m4_yellow_6(B, A)) | ![C: $i] : ((~(v1_pre_topc(C) & l1_pre_topc(C))) | ((C = k14_yellow_6(A, B)) <=> ((u1_struct_0(C) = u1_struct_0(A)) & (u1_pre_topc(C) = a_2_1_yellow_6(A, B))))))), ((m4_yellow_6(B, A) => ![C: $i] : ((v1_pre_topc(C) & l1_pre_topc(C)) => ((C = k14_yellow_6(A, B)) <=> ((u1_struct_0(C) = u1_struct_0(A)) & (u1_pre_topc(C) = a_2_1_yellow_6(A, B)))))) <=> ((~m4_yellow_6(B, A)) | ![C: $i] : ((~(v1_pre_topc(C) & l1_pre_topc(C))) | ((C = k14_yellow_6(A, B)) <=> ((u1_struct_0(C) = u1_struct_0(A)) & (u1_pre_topc(C) = a_2_1_yellow_6(A, B))))))))), (![B: $i] : (m4_yellow_6(B, A) => ![C: $i] : ((v1_pre_topc(C) & l1_pre_topc(C)) => ((C = k14_yellow_6(A, B)) <=> ((u1_struct_0(C) = u1_struct_0(A)) & (u1_pre_topc(C) = a_2_1_yellow_6(A, B)))))) <=> ![B: $i] : ((~m4_yellow_6(B, A)) | ![C: $i] : ((~(v1_pre_topc(C) & l1_pre_topc(C))) | ((C = k14_yellow_6(A, B)) <=> ((u1_struct_0(C) = u1_struct_0(A)) & (u1_pre_topc(C) = a_2_1_yellow_6(A, B)))))))), ((((~v3_struct_0(A)) & l1_struct_0(A)) => ![B: $i] : (m4_yellow_6(B, A) => ![C: $i] : ((v1_pre_topc(C) & l1_pre_topc(C)) => ((C = k14_yellow_6(A, B)) <=> ((u1_struct_0(C) = u1_struct_0(A)) & (u1_pre_topc(C) = a_2_1_yellow_6(A, B))))))) <=> (((~v3_struct_0(A)) & l1_struct_0(A)) => ![B: $i] : ((~m4_yellow_6(B, A)) | ![C: $i] : ((~(v1_pre_topc(C) & l1_pre_topc(C))) | ((C = k14_yellow_6(A, B)) <=> ((u1_struct_0(C) = u1_struct_0(A)) & (u1_pre_topc(C) = a_2_1_yellow_6(A, B))))))))), rewrite((((~v3_struct_0(A)) & l1_struct_0(A)) => ![B: $i] : ((~m4_yellow_6(B, A)) | ![C: $i] : ((~(v1_pre_topc(C) & l1_pre_topc(C))) | ((C = k14_yellow_6(A, B)) <=> ((u1_struct_0(C) = u1_struct_0(A)) & (u1_pre_topc(C) = a_2_1_yellow_6(A, B))))))) <=> ((~((~v3_struct_0(A)) & l1_struct_0(A))) | ![B: $i] : ((~m4_yellow_6(B, A)) | ![C: $i] : ((~(v1_pre_topc(C) & l1_pre_topc(C))) | ((C = k14_yellow_6(A, B)) <=> ((u1_struct_0(C) = u1_struct_0(A)) & (u1_pre_topc(C) = a_2_1_yellow_6(A, B)))))))), ((((~v3_struct_0(A)) & l1_struct_0(A)) => ![B: $i] : (m4_yellow_6(B, A) => ![C: $i] : ((v1_pre_topc(C) & l1_pre_topc(C)) => ((C = k14_yellow_6(A, B)) <=> ((u1_struct_0(C) = u1_struct_0(A)) & (u1_pre_topc(C) = a_2_1_yellow_6(A, B))))))) <=> ((~((~v3_struct_0(A)) & l1_struct_0(A))) | ![B: $i] : ((~m4_yellow_6(B, A)) | ![C: $i] : ((~(v1_pre_topc(C) & l1_pre_topc(C))) | ((C = k14_yellow_6(A, B)) <=> ((u1_struct_0(C) = u1_struct_0(A)) & (u1_pre_topc(C) = a_2_1_yellow_6(A, B)))))))))),
% 0.75/0.75 inference(bind,[status(th)],[])).
% 0.75/0.75 tff(243,plain,
% 0.75/0.75 (![A: $i] : (((~v3_struct_0(A)) & l1_struct_0(A)) => ![B: $i] : (m4_yellow_6(B, A) => ![C: $i] : ((v1_pre_topc(C) & l1_pre_topc(C)) => ((C = k14_yellow_6(A, B)) <=> ((u1_struct_0(C) = u1_struct_0(A)) & (u1_pre_topc(C) = a_2_1_yellow_6(A, B))))))) <=> ![A: $i] : ((~((~v3_struct_0(A)) & l1_struct_0(A))) | ![B: $i] : ((~m4_yellow_6(B, A)) | ![C: $i] : ((~(v1_pre_topc(C) & l1_pre_topc(C))) | ((C = k14_yellow_6(A, B)) <=> ((u1_struct_0(C) = u1_struct_0(A)) & (u1_pre_topc(C) = a_2_1_yellow_6(A, B)))))))),
% 0.75/0.75 inference(quant_intro,[status(thm)],[242])).
% 0.75/0.75 tff(244,axiom,(![A: $i] : (((~v3_struct_0(A)) & l1_struct_0(A)) => ![B: $i] : (m4_yellow_6(B, A) => ![C: $i] : ((v1_pre_topc(C) & l1_pre_topc(C)) => ((C = k14_yellow_6(A, B)) <=> ((u1_struct_0(C) = u1_struct_0(A)) & (u1_pre_topc(C) = a_2_1_yellow_6(A, B)))))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','d27_yellow_6')).
% 0.75/0.75 tff(245,plain,
% 0.75/0.75 (![A: $i] : ((~((~v3_struct_0(A)) & l1_struct_0(A))) | ![B: $i] : ((~m4_yellow_6(B, A)) | ![C: $i] : ((~(v1_pre_topc(C) & l1_pre_topc(C))) | ((C = k14_yellow_6(A, B)) <=> ((u1_struct_0(C) = u1_struct_0(A)) & (u1_pre_topc(C) = a_2_1_yellow_6(A, B)))))))),
% 0.75/0.75 inference(modus_ponens,[status(thm)],[244, 243])).
% 0.75/0.75 tff(246,plain,
% 0.75/0.75 (![A: $i] : ((~((~v3_struct_0(A)) & l1_struct_0(A))) | ![B: $i] : ((~m4_yellow_6(B, A)) | ![C: $i] : ((~(v1_pre_topc(C) & l1_pre_topc(C))) | ((C = k14_yellow_6(A, B)) <=> ((u1_struct_0(C) = u1_struct_0(A)) & (u1_pre_topc(C) = a_2_1_yellow_6(A, B)))))))),
% 0.75/0.75 inference(modus_ponens,[status(thm)],[245, 241])).
% 0.75/0.75 tff(247,plain,(
% 0.75/0.75 ![A: $i] : ((~((~v3_struct_0(A)) & l1_struct_0(A))) | ![B: $i] : ((~m4_yellow_6(B, A)) | ![C: $i] : ((~(v1_pre_topc(C) & l1_pre_topc(C))) | ((C = k14_yellow_6(A, B)) <=> ((u1_struct_0(C) = u1_struct_0(A)) & (u1_pre_topc(C) = a_2_1_yellow_6(A, B)))))))),
% 0.75/0.75 inference(skolemize,[status(sab)],[246])).
% 0.75/0.75 tff(248,plain,
% 0.75/0.75 (![A: $i] : (v3_struct_0(A) | (~l1_struct_0(A)) | ![B: $i] : ((~m4_yellow_6(B, A)) | ![C: $i] : ((~v1_pre_topc(C)) | (~l1_pre_topc(C)) | ((C = k14_yellow_6(A, B)) <=> (~((~(u1_struct_0(C) = u1_struct_0(A))) | (~(u1_pre_topc(C) = a_2_1_yellow_6(A, B)))))))))),
% 0.75/0.75 inference(modus_ponens,[status(thm)],[247, 240])).
% 0.75/0.75 tff(249,plain,
% 0.75/0.75 (![A: $i] : (v3_struct_0(A) | (~l1_struct_0(A)) | ![B: $i] : ((~m4_yellow_6(B, A)) | ![C: $i] : ((~v1_pre_topc(C)) | (~l1_pre_topc(C)) | ((C = k14_yellow_6(A, B)) <=> (~((~(u1_struct_0(C) = u1_struct_0(A))) | (~(u1_pre_topc(C) = a_2_1_yellow_6(A, B)))))))))),
% 0.75/0.75 inference(modus_ponens,[status(thm)],[248, 238])).
% 0.75/0.75 tff(250,plain,
% 0.75/0.75 (((~![A: $i] : (v3_struct_0(A) | (~l1_struct_0(A)) | ![B: $i] : ((~m4_yellow_6(B, A)) | ![C: $i] : ((~v1_pre_topc(C)) | (~l1_pre_topc(C)) | ((C = k14_yellow_6(A, B)) <=> (~((~(u1_struct_0(C) = u1_struct_0(A))) | (~(u1_pre_topc(C) = a_2_1_yellow_6(A, B)))))))))) | (v3_struct_0(B!1) | (~l1_struct_0(B!1)) | ![B: $i] : ((~m4_yellow_6(B, B!1)) | ![C: $i] : ((~v1_pre_topc(C)) | (~l1_pre_topc(C)) | ((C = k14_yellow_6(B!1, B)) <=> (~((~(u1_struct_0(C) = u1_struct_0(B!1))) | (~(u1_pre_topc(C) = a_2_1_yellow_6(B!1, B)))))))))) <=> ((~![A: $i] : (v3_struct_0(A) | (~l1_struct_0(A)) | ![B: $i] : ((~m4_yellow_6(B, A)) | ![C: $i] : ((~v1_pre_topc(C)) | (~l1_pre_topc(C)) | ((C = k14_yellow_6(A, B)) <=> (~((~(u1_struct_0(C) = u1_struct_0(A))) | (~(u1_pre_topc(C) = a_2_1_yellow_6(A, B)))))))))) | v3_struct_0(B!1) | (~l1_struct_0(B!1)) | ![B: $i] : ((~m4_yellow_6(B, B!1)) | ![C: $i] : ((~v1_pre_topc(C)) | (~l1_pre_topc(C)) | ((C = k14_yellow_6(B!1, B)) <=> (~((~(u1_struct_0(C) = u1_struct_0(B!1))) | (~(u1_pre_topc(C) = a_2_1_yellow_6(B!1, B)))))))))),
% 0.75/0.75 inference(rewrite,[status(thm)],[])).
% 0.75/0.75 tff(251,plain,
% 0.75/0.75 ((~![A: $i] : (v3_struct_0(A) | (~l1_struct_0(A)) | ![B: $i] : ((~m4_yellow_6(B, A)) | ![C: $i] : ((~v1_pre_topc(C)) | (~l1_pre_topc(C)) | ((C = k14_yellow_6(A, B)) <=> (~((~(u1_struct_0(C) = u1_struct_0(A))) | (~(u1_pre_topc(C) = a_2_1_yellow_6(A, B)))))))))) | (v3_struct_0(B!1) | (~l1_struct_0(B!1)) | ![B: $i] : ((~m4_yellow_6(B, B!1)) | ![C: $i] : ((~v1_pre_topc(C)) | (~l1_pre_topc(C)) | ((C = k14_yellow_6(B!1, B)) <=> (~((~(u1_struct_0(C) = u1_struct_0(B!1))) | (~(u1_pre_topc(C) = a_2_1_yellow_6(B!1, B)))))))))),
% 0.75/0.75 inference(quant_inst,[status(thm)],[])).
% 0.75/0.75 tff(252,plain,
% 0.75/0.75 ((~![A: $i] : (v3_struct_0(A) | (~l1_struct_0(A)) | ![B: $i] : ((~m4_yellow_6(B, A)) | ![C: $i] : ((~v1_pre_topc(C)) | (~l1_pre_topc(C)) | ((C = k14_yellow_6(A, B)) <=> (~((~(u1_struct_0(C) = u1_struct_0(A))) | (~(u1_pre_topc(C) = a_2_1_yellow_6(A, B)))))))))) | v3_struct_0(B!1) | (~l1_struct_0(B!1)) | ![B: $i] : ((~m4_yellow_6(B, B!1)) | ![C: $i] : ((~v1_pre_topc(C)) | (~l1_pre_topc(C)) | ((C = k14_yellow_6(B!1, B)) <=> (~((~(u1_struct_0(C) = u1_struct_0(B!1))) | (~(u1_pre_topc(C) = a_2_1_yellow_6(B!1, B))))))))),
% 0.75/0.75 inference(modus_ponens,[status(thm)],[251, 250])).
% 0.75/0.75 tff(253,plain,
% 0.75/0.75 (v3_struct_0(B!1) | (~l1_struct_0(B!1)) | ![B: $i] : ((~m4_yellow_6(B, B!1)) | ![C: $i] : ((~v1_pre_topc(C)) | (~l1_pre_topc(C)) | ((C = k14_yellow_6(B!1, B)) <=> (~((~(u1_struct_0(C) = u1_struct_0(B!1))) | (~(u1_pre_topc(C) = a_2_1_yellow_6(B!1, B))))))))),
% 0.75/0.75 inference(unit_resolution,[status(thm)],[252, 249])).
% 0.75/0.75 tff(254,plain,
% 0.75/0.75 (![B: $i] : ((~m4_yellow_6(B, B!1)) | ![C: $i] : ((~v1_pre_topc(C)) | (~l1_pre_topc(C)) | ((C = k14_yellow_6(B!1, B)) <=> (~((~(u1_struct_0(C) = u1_struct_0(B!1))) | (~(u1_pre_topc(C) = a_2_1_yellow_6(B!1, B))))))))),
% 0.75/0.75 inference(unit_resolution,[status(thm)],[253, 37, 72])).
% 0.75/0.75 tff(255,plain,
% 0.75/0.75 (((~![B: $i] : ((~m4_yellow_6(B, B!1)) | ![C: $i] : ((~v1_pre_topc(C)) | (~l1_pre_topc(C)) | ((C = k14_yellow_6(B!1, B)) <=> (~((~(u1_struct_0(C) = u1_struct_0(B!1))) | (~(u1_pre_topc(C) = a_2_1_yellow_6(B!1, B))))))))) | ((~m4_yellow_6(k3_waybel28(B!1), B!1)) | ![C: $i] : ((~v1_pre_topc(C)) | (~l1_pre_topc(C)) | ((C = k14_yellow_6(B!1, k3_waybel28(B!1))) <=> (~((~(u1_struct_0(C) = u1_struct_0(B!1))) | (~(u1_pre_topc(C) = a_2_1_yellow_6(B!1, k3_waybel28(B!1)))))))))) <=> ((~![B: $i] : ((~m4_yellow_6(B, B!1)) | ![C: $i] : ((~v1_pre_topc(C)) | (~l1_pre_topc(C)) | ((C = k14_yellow_6(B!1, B)) <=> (~((~(u1_struct_0(C) = u1_struct_0(B!1))) | (~(u1_pre_topc(C) = a_2_1_yellow_6(B!1, B))))))))) | (~m4_yellow_6(k3_waybel28(B!1), B!1)) | ![C: $i] : ((~v1_pre_topc(C)) | (~l1_pre_topc(C)) | ((C = k14_yellow_6(B!1, k3_waybel28(B!1))) <=> (~((~(u1_struct_0(C) = u1_struct_0(B!1))) | (~(u1_pre_topc(C) = a_2_1_yellow_6(B!1, k3_waybel28(B!1)))))))))),
% 0.75/0.75 inference(rewrite,[status(thm)],[])).
% 0.75/0.75 tff(256,plain,
% 0.75/0.75 ((~![B: $i] : ((~m4_yellow_6(B, B!1)) | ![C: $i] : ((~v1_pre_topc(C)) | (~l1_pre_topc(C)) | ((C = k14_yellow_6(B!1, B)) <=> (~((~(u1_struct_0(C) = u1_struct_0(B!1))) | (~(u1_pre_topc(C) = a_2_1_yellow_6(B!1, B))))))))) | ((~m4_yellow_6(k3_waybel28(B!1), B!1)) | ![C: $i] : ((~v1_pre_topc(C)) | (~l1_pre_topc(C)) | ((C = k14_yellow_6(B!1, k3_waybel28(B!1))) <=> (~((~(u1_struct_0(C) = u1_struct_0(B!1))) | (~(u1_pre_topc(C) = a_2_1_yellow_6(B!1, k3_waybel28(B!1)))))))))),
% 0.75/0.75 inference(quant_inst,[status(thm)],[])).
% 0.75/0.75 tff(257,plain,
% 0.75/0.75 ((~![B: $i] : ((~m4_yellow_6(B, B!1)) | ![C: $i] : ((~v1_pre_topc(C)) | (~l1_pre_topc(C)) | ((C = k14_yellow_6(B!1, B)) <=> (~((~(u1_struct_0(C) = u1_struct_0(B!1))) | (~(u1_pre_topc(C) = a_2_1_yellow_6(B!1, B))))))))) | (~m4_yellow_6(k3_waybel28(B!1), B!1)) | ![C: $i] : ((~v1_pre_topc(C)) | (~l1_pre_topc(C)) | ((C = k14_yellow_6(B!1, k3_waybel28(B!1))) <=> (~((~(u1_struct_0(C) = u1_struct_0(B!1))) | (~(u1_pre_topc(C) = a_2_1_yellow_6(B!1, k3_waybel28(B!1))))))))),
% 0.75/0.75 inference(modus_ponens,[status(thm)],[256, 255])).
% 0.75/0.75 tff(258,plain,
% 0.75/0.75 (![C: $i] : ((~v1_pre_topc(C)) | (~l1_pre_topc(C)) | ((C = k14_yellow_6(B!1, k3_waybel28(B!1))) <=> (~((~(u1_struct_0(C) = u1_struct_0(B!1))) | (~(u1_pre_topc(C) = a_2_1_yellow_6(B!1, k3_waybel28(B!1))))))))),
% 0.75/0.75 inference(unit_resolution,[status(thm)],[257, 254, 58])).
% 0.75/0.75 tff(259,plain,
% 0.75/0.75 (((~![C: $i] : ((~v1_pre_topc(C)) | (~l1_pre_topc(C)) | ((C = k14_yellow_6(B!1, k3_waybel28(B!1))) <=> (~((~(u1_struct_0(C) = u1_struct_0(B!1))) | (~(u1_pre_topc(C) = a_2_1_yellow_6(B!1, k3_waybel28(B!1))))))))) | ((~v1_pre_topc(g1_pre_topc(u1_struct_0(k14_yellow_6(B!1, k3_waybel28(B!1))), u1_pre_topc(k14_yellow_6(B!1, k3_waybel28(B!1)))))) | (~l1_pre_topc(g1_pre_topc(u1_struct_0(k14_yellow_6(B!1, k3_waybel28(B!1))), u1_pre_topc(k14_yellow_6(B!1, k3_waybel28(B!1)))))) | ((g1_pre_topc(u1_struct_0(k14_yellow_6(B!1, k3_waybel28(B!1))), u1_pre_topc(k14_yellow_6(B!1, k3_waybel28(B!1)))) = k14_yellow_6(B!1, k3_waybel28(B!1))) <=> (~((~(u1_struct_0(g1_pre_topc(u1_struct_0(k14_yellow_6(B!1, k3_waybel28(B!1))), u1_pre_topc(k14_yellow_6(B!1, k3_waybel28(B!1))))) = u1_struct_0(B!1))) | (~(u1_pre_topc(g1_pre_topc(u1_struct_0(k14_yellow_6(B!1, k3_waybel28(B!1))), u1_pre_topc(k14_yellow_6(B!1, k3_waybel28(B!1))))) = a_2_1_yellow_6(B!1, k3_waybel28(B!1))))))))) <=> ((~![C: $i] : ((~v1_pre_topc(C)) | (~l1_pre_topc(C)) | ((C = k14_yellow_6(B!1, k3_waybel28(B!1))) <=> (~((~(u1_struct_0(C) = u1_struct_0(B!1))) | (~(u1_pre_topc(C) = a_2_1_yellow_6(B!1, k3_waybel28(B!1))))))))) | (~v1_pre_topc(g1_pre_topc(u1_struct_0(k14_yellow_6(B!1, k3_waybel28(B!1))), u1_pre_topc(k14_yellow_6(B!1, k3_waybel28(B!1)))))) | (~l1_pre_topc(g1_pre_topc(u1_struct_0(k14_yellow_6(B!1, k3_waybel28(B!1))), u1_pre_topc(k14_yellow_6(B!1, k3_waybel28(B!1)))))) | ((g1_pre_topc(u1_struct_0(k14_yellow_6(B!1, k3_waybel28(B!1))), u1_pre_topc(k14_yellow_6(B!1, k3_waybel28(B!1)))) = k14_yellow_6(B!1, k3_waybel28(B!1))) <=> (~((~(u1_struct_0(g1_pre_topc(u1_struct_0(k14_yellow_6(B!1, k3_waybel28(B!1))), u1_pre_topc(k14_yellow_6(B!1, k3_waybel28(B!1))))) = u1_struct_0(B!1))) | (~(u1_pre_topc(g1_pre_topc(u1_struct_0(k14_yellow_6(B!1, k3_waybel28(B!1))), u1_pre_topc(k14_yellow_6(B!1, k3_waybel28(B!1))))) = a_2_1_yellow_6(B!1, k3_waybel28(B!1))))))))),
% 0.75/0.75 inference(rewrite,[status(thm)],[])).
% 0.75/0.75 tff(260,plain,
% 0.75/0.75 ((~![C: $i] : ((~v1_pre_topc(C)) | (~l1_pre_topc(C)) | ((C = k14_yellow_6(B!1, k3_waybel28(B!1))) <=> (~((~(u1_struct_0(C) = u1_struct_0(B!1))) | (~(u1_pre_topc(C) = a_2_1_yellow_6(B!1, k3_waybel28(B!1))))))))) | ((~v1_pre_topc(g1_pre_topc(u1_struct_0(k14_yellow_6(B!1, k3_waybel28(B!1))), u1_pre_topc(k14_yellow_6(B!1, k3_waybel28(B!1)))))) | (~l1_pre_topc(g1_pre_topc(u1_struct_0(k14_yellow_6(B!1, k3_waybel28(B!1))), u1_pre_topc(k14_yellow_6(B!1, k3_waybel28(B!1)))))) | ((g1_pre_topc(u1_struct_0(k14_yellow_6(B!1, k3_waybel28(B!1))), u1_pre_topc(k14_yellow_6(B!1, k3_waybel28(B!1)))) = k14_yellow_6(B!1, k3_waybel28(B!1))) <=> (~((~(u1_struct_0(g1_pre_topc(u1_struct_0(k14_yellow_6(B!1, k3_waybel28(B!1))), u1_pre_topc(k14_yellow_6(B!1, k3_waybel28(B!1))))) = u1_struct_0(B!1))) | (~(u1_pre_topc(g1_pre_topc(u1_struct_0(k14_yellow_6(B!1, k3_waybel28(B!1))), u1_pre_topc(k14_yellow_6(B!1, k3_waybel28(B!1))))) = a_2_1_yellow_6(B!1, k3_waybel28(B!1))))))))),
% 0.75/0.75 inference(quant_inst,[status(thm)],[])).
% 0.75/0.75 tff(261,plain,
% 0.75/0.75 ((~![C: $i] : ((~v1_pre_topc(C)) | (~l1_pre_topc(C)) | ((C = k14_yellow_6(B!1, k3_waybel28(B!1))) <=> (~((~(u1_struct_0(C) = u1_struct_0(B!1))) | (~(u1_pre_topc(C) = a_2_1_yellow_6(B!1, k3_waybel28(B!1))))))))) | (~v1_pre_topc(g1_pre_topc(u1_struct_0(k14_yellow_6(B!1, k3_waybel28(B!1))), u1_pre_topc(k14_yellow_6(B!1, k3_waybel28(B!1)))))) | (~l1_pre_topc(g1_pre_topc(u1_struct_0(k14_yellow_6(B!1, k3_waybel28(B!1))), u1_pre_topc(k14_yellow_6(B!1, k3_waybel28(B!1)))))) | ((g1_pre_topc(u1_struct_0(k14_yellow_6(B!1, k3_waybel28(B!1))), u1_pre_topc(k14_yellow_6(B!1, k3_waybel28(B!1)))) = k14_yellow_6(B!1, k3_waybel28(B!1))) <=> (~((~(u1_struct_0(g1_pre_topc(u1_struct_0(k14_yellow_6(B!1, k3_waybel28(B!1))), u1_pre_topc(k14_yellow_6(B!1, k3_waybel28(B!1))))) = u1_struct_0(B!1))) | (~(u1_pre_topc(g1_pre_topc(u1_struct_0(k14_yellow_6(B!1, k3_waybel28(B!1))), u1_pre_topc(k14_yellow_6(B!1, k3_waybel28(B!1))))) = a_2_1_yellow_6(B!1, k3_waybel28(B!1)))))))),
% 0.75/0.75 inference(modus_ponens,[status(thm)],[260, 259])).
% 0.75/0.75 tff(262,plain,
% 0.75/0.75 ((~v1_pre_topc(g1_pre_topc(u1_struct_0(k14_yellow_6(B!1, k3_waybel28(B!1))), u1_pre_topc(k14_yellow_6(B!1, k3_waybel28(B!1)))))) | (~l1_pre_topc(g1_pre_topc(u1_struct_0(k14_yellow_6(B!1, k3_waybel28(B!1))), u1_pre_topc(k14_yellow_6(B!1, k3_waybel28(B!1)))))) | ((g1_pre_topc(u1_struct_0(k14_yellow_6(B!1, k3_waybel28(B!1))), u1_pre_topc(k14_yellow_6(B!1, k3_waybel28(B!1)))) = k14_yellow_6(B!1, k3_waybel28(B!1))) <=> (~((~(u1_struct_0(g1_pre_topc(u1_struct_0(k14_yellow_6(B!1, k3_waybel28(B!1))), u1_pre_topc(k14_yellow_6(B!1, k3_waybel28(B!1))))) = u1_struct_0(B!1))) | (~(u1_pre_topc(g1_pre_topc(u1_struct_0(k14_yellow_6(B!1, k3_waybel28(B!1))), u1_pre_topc(k14_yellow_6(B!1, k3_waybel28(B!1))))) = a_2_1_yellow_6(B!1, k3_waybel28(B!1)))))))),
% 0.75/0.75 inference(unit_resolution,[status(thm)],[261, 258])).
% 0.75/0.75 tff(263,plain,
% 0.75/0.75 ((g1_pre_topc(u1_struct_0(k14_yellow_6(B!1, k3_waybel28(B!1))), u1_pre_topc(k14_yellow_6(B!1, k3_waybel28(B!1)))) = k14_yellow_6(B!1, k3_waybel28(B!1))) <=> (~((~(u1_struct_0(g1_pre_topc(u1_struct_0(k14_yellow_6(B!1, k3_waybel28(B!1))), u1_pre_topc(k14_yellow_6(B!1, k3_waybel28(B!1))))) = u1_struct_0(B!1))) | (~(u1_pre_topc(g1_pre_topc(u1_struct_0(k14_yellow_6(B!1, k3_waybel28(B!1))), u1_pre_topc(k14_yellow_6(B!1, k3_waybel28(B!1))))) = a_2_1_yellow_6(B!1, k3_waybel28(B!1))))))),
% 0.75/0.75 inference(unit_resolution,[status(thm)],[262, 233, 230])).
% 0.75/0.75 tff(264,plain,
% 0.75/0.75 ((~((g1_pre_topc(u1_struct_0(k14_yellow_6(B!1, k3_waybel28(B!1))), u1_pre_topc(k14_yellow_6(B!1, k3_waybel28(B!1)))) = k14_yellow_6(B!1, k3_waybel28(B!1))) <=> (~((~(u1_struct_0(g1_pre_topc(u1_struct_0(k14_yellow_6(B!1, k3_waybel28(B!1))), u1_pre_topc(k14_yellow_6(B!1, k3_waybel28(B!1))))) = u1_struct_0(B!1))) | (~(u1_pre_topc(g1_pre_topc(u1_struct_0(k14_yellow_6(B!1, k3_waybel28(B!1))), u1_pre_topc(k14_yellow_6(B!1, k3_waybel28(B!1))))) = a_2_1_yellow_6(B!1, k3_waybel28(B!1)))))))) | (~(g1_pre_topc(u1_struct_0(k14_yellow_6(B!1, k3_waybel28(B!1))), u1_pre_topc(k14_yellow_6(B!1, k3_waybel28(B!1)))) = k14_yellow_6(B!1, k3_waybel28(B!1)))) | (~((~(u1_struct_0(g1_pre_topc(u1_struct_0(k14_yellow_6(B!1, k3_waybel28(B!1))), u1_pre_topc(k14_yellow_6(B!1, k3_waybel28(B!1))))) = u1_struct_0(B!1))) | (~(u1_pre_topc(g1_pre_topc(u1_struct_0(k14_yellow_6(B!1, k3_waybel28(B!1))), u1_pre_topc(k14_yellow_6(B!1, k3_waybel28(B!1))))) = a_2_1_yellow_6(B!1, k3_waybel28(B!1))))))),
% 0.75/0.76 inference(tautology,[status(thm)],[])).
% 0.75/0.76 tff(265,plain,
% 0.75/0.76 ((~((g1_pre_topc(u1_struct_0(k14_yellow_6(B!1, k3_waybel28(B!1))), u1_pre_topc(k14_yellow_6(B!1, k3_waybel28(B!1)))) = k14_yellow_6(B!1, k3_waybel28(B!1))) <=> (~((~(u1_struct_0(g1_pre_topc(u1_struct_0(k14_yellow_6(B!1, k3_waybel28(B!1))), u1_pre_topc(k14_yellow_6(B!1, k3_waybel28(B!1))))) = u1_struct_0(B!1))) | (~(u1_pre_topc(g1_pre_topc(u1_struct_0(k14_yellow_6(B!1, k3_waybel28(B!1))), u1_pre_topc(k14_yellow_6(B!1, k3_waybel28(B!1))))) = a_2_1_yellow_6(B!1, k3_waybel28(B!1)))))))) | (~((~(u1_struct_0(g1_pre_topc(u1_struct_0(k14_yellow_6(B!1, k3_waybel28(B!1))), u1_pre_topc(k14_yellow_6(B!1, k3_waybel28(B!1))))) = u1_struct_0(B!1))) | (~(u1_pre_topc(g1_pre_topc(u1_struct_0(k14_yellow_6(B!1, k3_waybel28(B!1))), u1_pre_topc(k14_yellow_6(B!1, k3_waybel28(B!1))))) = a_2_1_yellow_6(B!1, k3_waybel28(B!1))))))),
% 0.75/0.76 inference(unit_resolution,[status(thm)],[264, 139])).
% 0.75/0.76 tff(266,plain,
% 0.75/0.76 (~((~(u1_struct_0(g1_pre_topc(u1_struct_0(k14_yellow_6(B!1, k3_waybel28(B!1))), u1_pre_topc(k14_yellow_6(B!1, k3_waybel28(B!1))))) = u1_struct_0(B!1))) | (~(u1_pre_topc(g1_pre_topc(u1_struct_0(k14_yellow_6(B!1, k3_waybel28(B!1))), u1_pre_topc(k14_yellow_6(B!1, k3_waybel28(B!1))))) = a_2_1_yellow_6(B!1, k3_waybel28(B!1)))))),
% 0.75/0.76 inference(unit_resolution,[status(thm)],[265, 263])).
% 0.75/0.76 tff(267,plain,
% 0.75/0.76 (((~(u1_struct_0(g1_pre_topc(u1_struct_0(k14_yellow_6(B!1, k3_waybel28(B!1))), u1_pre_topc(k14_yellow_6(B!1, k3_waybel28(B!1))))) = u1_struct_0(B!1))) | (~(u1_pre_topc(g1_pre_topc(u1_struct_0(k14_yellow_6(B!1, k3_waybel28(B!1))), u1_pre_topc(k14_yellow_6(B!1, k3_waybel28(B!1))))) = a_2_1_yellow_6(B!1, k3_waybel28(B!1))))) | (u1_struct_0(g1_pre_topc(u1_struct_0(k14_yellow_6(B!1, k3_waybel28(B!1))), u1_pre_topc(k14_yellow_6(B!1, k3_waybel28(B!1))))) = u1_struct_0(B!1))),
% 0.75/0.76 inference(tautology,[status(thm)],[])).
% 0.75/0.76 tff(268,plain,
% 0.75/0.76 (u1_struct_0(g1_pre_topc(u1_struct_0(k14_yellow_6(B!1, k3_waybel28(B!1))), u1_pre_topc(k14_yellow_6(B!1, k3_waybel28(B!1))))) = u1_struct_0(B!1)),
% 0.75/0.76 inference(unit_resolution,[status(thm)],[267, 266])).
% 0.75/0.76 tff(269,plain,
% 0.75/0.76 (u1_struct_0(B!1) = u1_struct_0(g1_pre_topc(u1_struct_0(k14_yellow_6(B!1, k3_waybel28(B!1))), u1_pre_topc(k14_yellow_6(B!1, k3_waybel28(B!1)))))),
% 0.75/0.76 inference(symmetry,[status(thm)],[268])).
% 0.75/0.76 tff(270,plain,
% 0.75/0.76 (^[A: $i, B: $i, C: $i] : refl((m2_relset_1(C, A, B) <=> m1_relset_1(C, A, B)) <=> (m2_relset_1(C, A, B) <=> m1_relset_1(C, A, B)))),
% 0.75/0.76 inference(bind,[status(th)],[])).
% 0.75/0.76 tff(271,plain,
% 0.75/0.76 (![A: $i, B: $i, C: $i] : (m2_relset_1(C, A, B) <=> m1_relset_1(C, A, B)) <=> ![A: $i, B: $i, C: $i] : (m2_relset_1(C, A, B) <=> m1_relset_1(C, A, B))),
% 0.75/0.76 inference(quant_intro,[status(thm)],[270])).
% 0.75/0.76 tff(272,plain,
% 0.75/0.76 (![A: $i, B: $i, C: $i] : (m2_relset_1(C, A, B) <=> m1_relset_1(C, A, B)) <=> ![A: $i, B: $i, C: $i] : (m2_relset_1(C, A, B) <=> m1_relset_1(C, A, B))),
% 0.75/0.76 inference(rewrite,[status(thm)],[])).
% 0.75/0.76 tff(273,axiom,(![A: $i, B: $i, C: $i] : (m2_relset_1(C, A, B) <=> m1_relset_1(C, A, B))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','redefinition_m2_relset_1')).
% 0.75/0.76 tff(274,plain,
% 0.75/0.76 (![A: $i, B: $i, C: $i] : (m2_relset_1(C, A, B) <=> m1_relset_1(C, A, B))),
% 0.75/0.76 inference(modus_ponens,[status(thm)],[273, 272])).
% 0.75/0.76 tff(275,plain,(
% 0.75/0.76 ![A: $i, B: $i, C: $i] : (m2_relset_1(C, A, B) <=> m1_relset_1(C, A, B))),
% 0.75/0.76 inference(skolemize,[status(sab)],[274])).
% 0.75/0.76 tff(276,plain,
% 0.75/0.76 (![A: $i, B: $i, C: $i] : (m2_relset_1(C, A, B) <=> m1_relset_1(C, A, B))),
% 0.75/0.76 inference(modus_ponens,[status(thm)],[275, 271])).
% 0.75/0.76 tff(277,plain,
% 0.75/0.76 ((~![A: $i, B: $i, C: $i] : (m2_relset_1(C, A, B) <=> m1_relset_1(C, A, B))) | (m2_relset_1(u1_orders_2(B!1), u1_struct_0(B!1), u1_struct_0(B!1)) <=> m1_relset_1(u1_orders_2(B!1), u1_struct_0(B!1), u1_struct_0(B!1)))),
% 0.75/0.76 inference(quant_inst,[status(thm)],[])).
% 0.75/0.76 tff(278,plain,
% 0.75/0.76 (m2_relset_1(u1_orders_2(B!1), u1_struct_0(B!1), u1_struct_0(B!1)) <=> m1_relset_1(u1_orders_2(B!1), u1_struct_0(B!1), u1_struct_0(B!1))),
% 0.75/0.76 inference(unit_resolution,[status(thm)],[277, 276])).
% 0.75/0.76 tff(279,plain,
% 0.75/0.76 (^[A: $i] : refl(((~l1_orders_2(A)) | m2_relset_1(u1_orders_2(A), u1_struct_0(A), u1_struct_0(A))) <=> ((~l1_orders_2(A)) | m2_relset_1(u1_orders_2(A), u1_struct_0(A), u1_struct_0(A))))),
% 0.75/0.76 inference(bind,[status(th)],[])).
% 0.75/0.76 tff(280,plain,
% 0.75/0.76 (![A: $i] : ((~l1_orders_2(A)) | m2_relset_1(u1_orders_2(A), u1_struct_0(A), u1_struct_0(A))) <=> ![A: $i] : ((~l1_orders_2(A)) | m2_relset_1(u1_orders_2(A), u1_struct_0(A), u1_struct_0(A)))),
% 0.75/0.76 inference(quant_intro,[status(thm)],[279])).
% 0.75/0.76 tff(281,plain,
% 0.75/0.76 (![A: $i] : ((~l1_orders_2(A)) | m2_relset_1(u1_orders_2(A), u1_struct_0(A), u1_struct_0(A))) <=> ![A: $i] : ((~l1_orders_2(A)) | m2_relset_1(u1_orders_2(A), u1_struct_0(A), u1_struct_0(A)))),
% 0.75/0.76 inference(rewrite,[status(thm)],[])).
% 0.75/0.76 tff(282,plain,
% 0.75/0.76 (^[A: $i] : rewrite((l1_orders_2(A) => m2_relset_1(u1_orders_2(A), u1_struct_0(A), u1_struct_0(A))) <=> ((~l1_orders_2(A)) | m2_relset_1(u1_orders_2(A), u1_struct_0(A), u1_struct_0(A))))),
% 0.75/0.76 inference(bind,[status(th)],[])).
% 0.75/0.76 tff(283,plain,
% 0.75/0.76 (![A: $i] : (l1_orders_2(A) => m2_relset_1(u1_orders_2(A), u1_struct_0(A), u1_struct_0(A))) <=> ![A: $i] : ((~l1_orders_2(A)) | m2_relset_1(u1_orders_2(A), u1_struct_0(A), u1_struct_0(A)))),
% 0.75/0.76 inference(quant_intro,[status(thm)],[282])).
% 0.75/0.76 tff(284,axiom,(![A: $i] : (l1_orders_2(A) => m2_relset_1(u1_orders_2(A), u1_struct_0(A), u1_struct_0(A)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','dt_u1_orders_2')).
% 0.75/0.76 tff(285,plain,
% 0.75/0.76 (![A: $i] : ((~l1_orders_2(A)) | m2_relset_1(u1_orders_2(A), u1_struct_0(A), u1_struct_0(A)))),
% 0.75/0.76 inference(modus_ponens,[status(thm)],[284, 283])).
% 0.75/0.76 tff(286,plain,
% 0.75/0.76 (![A: $i] : ((~l1_orders_2(A)) | m2_relset_1(u1_orders_2(A), u1_struct_0(A), u1_struct_0(A)))),
% 0.75/0.76 inference(modus_ponens,[status(thm)],[285, 281])).
% 0.75/0.76 tff(287,plain,(
% 0.75/0.76 ![A: $i] : ((~l1_orders_2(A)) | m2_relset_1(u1_orders_2(A), u1_struct_0(A), u1_struct_0(A)))),
% 0.75/0.76 inference(skolemize,[status(sab)],[286])).
% 0.75/0.76 tff(288,plain,
% 0.75/0.76 (![A: $i] : ((~l1_orders_2(A)) | m2_relset_1(u1_orders_2(A), u1_struct_0(A), u1_struct_0(A)))),
% 0.75/0.76 inference(modus_ponens,[status(thm)],[287, 280])).
% 0.75/0.76 tff(289,plain,
% 0.75/0.76 (((~![A: $i] : ((~l1_orders_2(A)) | m2_relset_1(u1_orders_2(A), u1_struct_0(A), u1_struct_0(A)))) | ((~l1_orders_2(B!1)) | m2_relset_1(u1_orders_2(B!1), u1_struct_0(B!1), u1_struct_0(B!1)))) <=> ((~![A: $i] : ((~l1_orders_2(A)) | m2_relset_1(u1_orders_2(A), u1_struct_0(A), u1_struct_0(A)))) | (~l1_orders_2(B!1)) | m2_relset_1(u1_orders_2(B!1), u1_struct_0(B!1), u1_struct_0(B!1)))),
% 0.75/0.76 inference(rewrite,[status(thm)],[])).
% 0.75/0.76 tff(290,plain,
% 0.75/0.76 ((~![A: $i] : ((~l1_orders_2(A)) | m2_relset_1(u1_orders_2(A), u1_struct_0(A), u1_struct_0(A)))) | ((~l1_orders_2(B!1)) | m2_relset_1(u1_orders_2(B!1), u1_struct_0(B!1), u1_struct_0(B!1)))),
% 0.75/0.76 inference(quant_inst,[status(thm)],[])).
% 0.75/0.76 tff(291,plain,
% 0.75/0.76 ((~![A: $i] : ((~l1_orders_2(A)) | m2_relset_1(u1_orders_2(A), u1_struct_0(A), u1_struct_0(A)))) | (~l1_orders_2(B!1)) | m2_relset_1(u1_orders_2(B!1), u1_struct_0(B!1), u1_struct_0(B!1))),
% 0.75/0.76 inference(modus_ponens,[status(thm)],[290, 289])).
% 0.75/0.76 tff(292,plain,
% 0.75/0.76 (m2_relset_1(u1_orders_2(B!1), u1_struct_0(B!1), u1_struct_0(B!1))),
% 0.75/0.76 inference(unit_resolution,[status(thm)],[291, 29, 288])).
% 0.75/0.76 tff(293,plain,
% 0.75/0.76 ((~(m2_relset_1(u1_orders_2(B!1), u1_struct_0(B!1), u1_struct_0(B!1)) <=> m1_relset_1(u1_orders_2(B!1), u1_struct_0(B!1), u1_struct_0(B!1)))) | (~m2_relset_1(u1_orders_2(B!1), u1_struct_0(B!1), u1_struct_0(B!1))) | m1_relset_1(u1_orders_2(B!1), u1_struct_0(B!1), u1_struct_0(B!1))),
% 0.75/0.76 inference(tautology,[status(thm)],[])).
% 0.75/0.76 tff(294,plain,
% 0.75/0.76 ((~(m2_relset_1(u1_orders_2(B!1), u1_struct_0(B!1), u1_struct_0(B!1)) <=> m1_relset_1(u1_orders_2(B!1), u1_struct_0(B!1), u1_struct_0(B!1)))) | m1_relset_1(u1_orders_2(B!1), u1_struct_0(B!1), u1_struct_0(B!1))),
% 0.75/0.76 inference(unit_resolution,[status(thm)],[293, 292])).
% 0.75/0.76 tff(295,plain,
% 0.75/0.76 (m1_relset_1(u1_orders_2(B!1), u1_struct_0(B!1), u1_struct_0(B!1))),
% 0.75/0.76 inference(unit_resolution,[status(thm)],[294, 278])).
% 0.75/0.76 tff(296,plain,
% 0.75/0.76 (^[A: $i, B: $i] : refl(((~m1_relset_1(B, A, A)) | ![C: $i, D: $i] : ((~(g1_orders_2(A, B) = g1_orders_2(C, D))) | (~((~(A = C)) | (~(B = D)))))) <=> ((~m1_relset_1(B, A, A)) | ![C: $i, D: $i] : ((~(g1_orders_2(A, B) = g1_orders_2(C, D))) | (~((~(A = C)) | (~(B = D)))))))),
% 0.75/0.76 inference(bind,[status(th)],[])).
% 0.75/0.76 tff(297,plain,
% 0.75/0.76 (![A: $i, B: $i] : ((~m1_relset_1(B, A, A)) | ![C: $i, D: $i] : ((~(g1_orders_2(A, B) = g1_orders_2(C, D))) | (~((~(A = C)) | (~(B = D)))))) <=> ![A: $i, B: $i] : ((~m1_relset_1(B, A, A)) | ![C: $i, D: $i] : ((~(g1_orders_2(A, B) = g1_orders_2(C, D))) | (~((~(A = C)) | (~(B = D))))))),
% 0.75/0.76 inference(quant_intro,[status(thm)],[296])).
% 0.75/0.76 tff(298,plain,
% 0.75/0.76 (^[A: $i, B: $i] : rewrite(((~m1_relset_1(B, A, A)) | ![C: $i, D: $i] : ((~(g1_orders_2(A, B) = g1_orders_2(C, D))) | (~((~(A = C)) | (~(B = D)))))) <=> ((~m1_relset_1(B, A, A)) | ![C: $i, D: $i] : ((~(g1_orders_2(A, B) = g1_orders_2(C, D))) | (~((~(A = C)) | (~(B = D)))))))),
% 0.75/0.76 inference(bind,[status(th)],[])).
% 0.75/0.76 tff(299,plain,
% 0.75/0.76 (![A: $i, B: $i] : ((~m1_relset_1(B, A, A)) | ![C: $i, D: $i] : ((~(g1_orders_2(A, B) = g1_orders_2(C, D))) | (~((~(A = C)) | (~(B = D)))))) <=> ![A: $i, B: $i] : ((~m1_relset_1(B, A, A)) | ![C: $i, D: $i] : ((~(g1_orders_2(A, B) = g1_orders_2(C, D))) | (~((~(A = C)) | (~(B = D))))))),
% 0.75/0.76 inference(quant_intro,[status(thm)],[298])).
% 0.75/0.76 tff(300,plain,
% 0.75/0.76 (![A: $i, B: $i] : ((~m1_relset_1(B, A, A)) | ![C: $i, D: $i] : ((~(g1_orders_2(A, B) = g1_orders_2(C, D))) | (~((~(A = C)) | (~(B = D)))))) <=> ![A: $i, B: $i] : ((~m1_relset_1(B, A, A)) | ![C: $i, D: $i] : ((~(g1_orders_2(A, B) = g1_orders_2(C, D))) | (~((~(A = C)) | (~(B = D))))))),
% 0.75/0.76 inference(transitivity,[status(thm)],[299, 297])).
% 0.75/0.76 tff(301,plain,
% 0.75/0.76 (^[A: $i, B: $i] : rewrite(((~m1_relset_1(B, A, A)) | ![C: $i, D: $i] : ((~(g1_orders_2(A, B) = g1_orders_2(C, D))) | ((A = C) & (B = D)))) <=> ((~m1_relset_1(B, A, A)) | ![C: $i, D: $i] : ((~(g1_orders_2(A, B) = g1_orders_2(C, D))) | (~((~(A = C)) | (~(B = D)))))))),
% 0.75/0.76 inference(bind,[status(th)],[])).
% 0.75/0.76 tff(302,plain,
% 0.75/0.76 (![A: $i, B: $i] : ((~m1_relset_1(B, A, A)) | ![C: $i, D: $i] : ((~(g1_orders_2(A, B) = g1_orders_2(C, D))) | ((A = C) & (B = D)))) <=> ![A: $i, B: $i] : ((~m1_relset_1(B, A, A)) | ![C: $i, D: $i] : ((~(g1_orders_2(A, B) = g1_orders_2(C, D))) | (~((~(A = C)) | (~(B = D))))))),
% 0.75/0.76 inference(quant_intro,[status(thm)],[301])).
% 0.75/0.76 tff(303,plain,
% 0.75/0.76 (![A: $i, B: $i] : ((~m1_relset_1(B, A, A)) | ![C: $i, D: $i] : ((~(g1_orders_2(A, B) = g1_orders_2(C, D))) | ((A = C) & (B = D)))) <=> ![A: $i, B: $i] : ((~m1_relset_1(B, A, A)) | ![C: $i, D: $i] : ((~(g1_orders_2(A, B) = g1_orders_2(C, D))) | ((A = C) & (B = D))))),
% 0.75/0.76 inference(rewrite,[status(thm)],[])).
% 0.75/0.76 tff(304,plain,
% 0.75/0.76 (^[A: $i, B: $i] : trans(monotonicity(quant_intro(proof_bind(^[C: $i, D: $i] : rewrite(((g1_orders_2(A, B) = g1_orders_2(C, D)) => ((A = C) & (B = D))) <=> ((~(g1_orders_2(A, B) = g1_orders_2(C, D))) | ((A = C) & (B = D))))), (![C: $i, D: $i] : ((g1_orders_2(A, B) = g1_orders_2(C, D)) => ((A = C) & (B = D))) <=> ![C: $i, D: $i] : ((~(g1_orders_2(A, B) = g1_orders_2(C, D))) | ((A = C) & (B = D))))), ((m1_relset_1(B, A, A) => ![C: $i, D: $i] : ((g1_orders_2(A, B) = g1_orders_2(C, D)) => ((A = C) & (B = D)))) <=> (m1_relset_1(B, A, A) => ![C: $i, D: $i] : ((~(g1_orders_2(A, B) = g1_orders_2(C, D))) | ((A = C) & (B = D)))))), rewrite((m1_relset_1(B, A, A) => ![C: $i, D: $i] : ((~(g1_orders_2(A, B) = g1_orders_2(C, D))) | ((A = C) & (B = D)))) <=> ((~m1_relset_1(B, A, A)) | ![C: $i, D: $i] : ((~(g1_orders_2(A, B) = g1_orders_2(C, D))) | ((A = C) & (B = D))))), ((m1_relset_1(B, A, A) => ![C: $i, D: $i] : ((g1_orders_2(A, B) = g1_orders_2(C, D)) => ((A = C) & (B = D)))) <=> ((~m1_relset_1(B, A, A)) | ![C: $i, D: $i] : ((~(g1_orders_2(A, B) = g1_orders_2(C, D))) | ((A = C) & (B = D))))))),
% 0.75/0.76 inference(bind,[status(th)],[])).
% 0.75/0.76 tff(305,plain,
% 0.75/0.76 (![A: $i, B: $i] : (m1_relset_1(B, A, A) => ![C: $i, D: $i] : ((g1_orders_2(A, B) = g1_orders_2(C, D)) => ((A = C) & (B = D)))) <=> ![A: $i, B: $i] : ((~m1_relset_1(B, A, A)) | ![C: $i, D: $i] : ((~(g1_orders_2(A, B) = g1_orders_2(C, D))) | ((A = C) & (B = D))))),
% 0.75/0.76 inference(quant_intro,[status(thm)],[304])).
% 0.75/0.76 tff(306,axiom,(![A: $i, B: $i] : (m1_relset_1(B, A, A) => ![C: $i, D: $i] : ((g1_orders_2(A, B) = g1_orders_2(C, D)) => ((A = C) & (B = D))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','free_g1_orders_2')).
% 0.75/0.76 tff(307,plain,
% 0.75/0.76 (![A: $i, B: $i] : ((~m1_relset_1(B, A, A)) | ![C: $i, D: $i] : ((~(g1_orders_2(A, B) = g1_orders_2(C, D))) | ((A = C) & (B = D))))),
% 0.75/0.76 inference(modus_ponens,[status(thm)],[306, 305])).
% 0.75/0.76 tff(308,plain,
% 0.75/0.76 (![A: $i, B: $i] : ((~m1_relset_1(B, A, A)) | ![C: $i, D: $i] : ((~(g1_orders_2(A, B) = g1_orders_2(C, D))) | ((A = C) & (B = D))))),
% 0.75/0.76 inference(modus_ponens,[status(thm)],[307, 303])).
% 0.75/0.76 tff(309,plain,(
% 0.75/0.76 ![A: $i, B: $i] : ((~m1_relset_1(B, A, A)) | ![C: $i, D: $i] : ((~(g1_orders_2(A, B) = g1_orders_2(C, D))) | ((A = C) & (B = D))))),
% 0.75/0.76 inference(skolemize,[status(sab)],[308])).
% 0.75/0.76 tff(310,plain,
% 0.75/0.76 (![A: $i, B: $i] : ((~m1_relset_1(B, A, A)) | ![C: $i, D: $i] : ((~(g1_orders_2(A, B) = g1_orders_2(C, D))) | (~((~(A = C)) | (~(B = D))))))),
% 0.75/0.76 inference(modus_ponens,[status(thm)],[309, 302])).
% 0.75/0.76 tff(311,plain,
% 0.75/0.76 (![A: $i, B: $i] : ((~m1_relset_1(B, A, A)) | ![C: $i, D: $i] : ((~(g1_orders_2(A, B) = g1_orders_2(C, D))) | (~((~(A = C)) | (~(B = D))))))),
% 0.75/0.76 inference(modus_ponens,[status(thm)],[310, 300])).
% 0.75/0.76 tff(312,plain,
% 0.75/0.76 (((~![A: $i, B: $i] : ((~m1_relset_1(B, A, A)) | ![C: $i, D: $i] : ((~(g1_orders_2(A, B) = g1_orders_2(C, D))) | (~((~(A = C)) | (~(B = D))))))) | ((~m1_relset_1(u1_orders_2(B!1), u1_struct_0(B!1), u1_struct_0(B!1))) | ![C: $i, D: $i] : ((~(g1_orders_2(u1_struct_0(B!1), u1_orders_2(B!1)) = g1_orders_2(C, D))) | (~((~(u1_struct_0(B!1) = C)) | (~(u1_orders_2(B!1) = D))))))) <=> ((~![A: $i, B: $i] : ((~m1_relset_1(B, A, A)) | ![C: $i, D: $i] : ((~(g1_orders_2(A, B) = g1_orders_2(C, D))) | (~((~(A = C)) | (~(B = D))))))) | (~m1_relset_1(u1_orders_2(B!1), u1_struct_0(B!1), u1_struct_0(B!1))) | ![C: $i, D: $i] : ((~(g1_orders_2(u1_struct_0(B!1), u1_orders_2(B!1)) = g1_orders_2(C, D))) | (~((~(u1_struct_0(B!1) = C)) | (~(u1_orders_2(B!1) = D))))))),
% 0.75/0.76 inference(rewrite,[status(thm)],[])).
% 0.75/0.76 tff(313,plain,
% 0.75/0.76 ((~![A: $i, B: $i] : ((~m1_relset_1(B, A, A)) | ![C: $i, D: $i] : ((~(g1_orders_2(A, B) = g1_orders_2(C, D))) | (~((~(A = C)) | (~(B = D))))))) | ((~m1_relset_1(u1_orders_2(B!1), u1_struct_0(B!1), u1_struct_0(B!1))) | ![C: $i, D: $i] : ((~(g1_orders_2(u1_struct_0(B!1), u1_orders_2(B!1)) = g1_orders_2(C, D))) | (~((~(u1_struct_0(B!1) = C)) | (~(u1_orders_2(B!1) = D))))))),
% 0.75/0.76 inference(quant_inst,[status(thm)],[])).
% 0.75/0.76 tff(314,plain,
% 0.75/0.76 ((~![A: $i, B: $i] : ((~m1_relset_1(B, A, A)) | ![C: $i, D: $i] : ((~(g1_orders_2(A, B) = g1_orders_2(C, D))) | (~((~(A = C)) | (~(B = D))))))) | (~m1_relset_1(u1_orders_2(B!1), u1_struct_0(B!1), u1_struct_0(B!1))) | ![C: $i, D: $i] : ((~(g1_orders_2(u1_struct_0(B!1), u1_orders_2(B!1)) = g1_orders_2(C, D))) | (~((~(u1_struct_0(B!1) = C)) | (~(u1_orders_2(B!1) = D)))))),
% 0.75/0.76 inference(modus_ponens,[status(thm)],[313, 312])).
% 0.75/0.76 tff(315,plain,
% 0.75/0.76 ((~m1_relset_1(u1_orders_2(B!1), u1_struct_0(B!1), u1_struct_0(B!1))) | ![C: $i, D: $i] : ((~(g1_orders_2(u1_struct_0(B!1), u1_orders_2(B!1)) = g1_orders_2(C, D))) | (~((~(u1_struct_0(B!1) = C)) | (~(u1_orders_2(B!1) = D)))))),
% 0.75/0.76 inference(unit_resolution,[status(thm)],[314, 311])).
% 0.75/0.76 tff(316,plain,
% 0.75/0.76 (![C: $i, D: $i] : ((~(g1_orders_2(u1_struct_0(B!1), u1_orders_2(B!1)) = g1_orders_2(C, D))) | (~((~(u1_struct_0(B!1) = C)) | (~(u1_orders_2(B!1) = D)))))),
% 0.75/0.76 inference(unit_resolution,[status(thm)],[315, 295])).
% 0.75/0.76 tff(317,plain,
% 0.75/0.76 (((~![C: $i, D: $i] : ((~(g1_orders_2(u1_struct_0(B!1), u1_orders_2(B!1)) = g1_orders_2(C, D))) | (~((~(u1_struct_0(B!1) = C)) | (~(u1_orders_2(B!1) = D)))))) | ((~(g1_orders_2(u1_struct_0(B!1), u1_orders_2(B!1)) = g1_orders_2(u1_struct_0(A!0), u1_orders_2(A!0)))) | (~((~(u1_struct_0(B!1) = u1_struct_0(A!0))) | (~(u1_orders_2(B!1) = u1_orders_2(A!0))))))) <=> ((~![C: $i, D: $i] : ((~(g1_orders_2(u1_struct_0(B!1), u1_orders_2(B!1)) = g1_orders_2(C, D))) | (~((~(u1_struct_0(B!1) = C)) | (~(u1_orders_2(B!1) = D)))))) | (~(g1_orders_2(u1_struct_0(B!1), u1_orders_2(B!1)) = g1_orders_2(u1_struct_0(A!0), u1_orders_2(A!0)))) | (~((~(u1_struct_0(B!1) = u1_struct_0(A!0))) | (~(u1_orders_2(B!1) = u1_orders_2(A!0))))))),
% 0.75/0.76 inference(rewrite,[status(thm)],[])).
% 0.75/0.76 tff(318,plain,
% 0.75/0.76 ((~![C: $i, D: $i] : ((~(g1_orders_2(u1_struct_0(B!1), u1_orders_2(B!1)) = g1_orders_2(C, D))) | (~((~(u1_struct_0(B!1) = C)) | (~(u1_orders_2(B!1) = D)))))) | ((~(g1_orders_2(u1_struct_0(B!1), u1_orders_2(B!1)) = g1_orders_2(u1_struct_0(A!0), u1_orders_2(A!0)))) | (~((~(u1_struct_0(B!1) = u1_struct_0(A!0))) | (~(u1_orders_2(B!1) = u1_orders_2(A!0))))))),
% 0.75/0.76 inference(quant_inst,[status(thm)],[])).
% 0.75/0.76 tff(319,plain,
% 0.75/0.76 ((~![C: $i, D: $i] : ((~(g1_orders_2(u1_struct_0(B!1), u1_orders_2(B!1)) = g1_orders_2(C, D))) | (~((~(u1_struct_0(B!1) = C)) | (~(u1_orders_2(B!1) = D)))))) | (~(g1_orders_2(u1_struct_0(B!1), u1_orders_2(B!1)) = g1_orders_2(u1_struct_0(A!0), u1_orders_2(A!0)))) | (~((~(u1_struct_0(B!1) = u1_struct_0(A!0))) | (~(u1_orders_2(B!1) = u1_orders_2(A!0)))))),
% 0.75/0.76 inference(modus_ponens,[status(thm)],[318, 317])).
% 0.75/0.76 tff(320,plain,
% 0.75/0.76 (~((~(u1_struct_0(B!1) = u1_struct_0(A!0))) | (~(u1_orders_2(B!1) = u1_orders_2(A!0))))),
% 0.75/0.76 inference(unit_resolution,[status(thm)],[319, 316, 204])).
% 0.75/0.76 tff(321,plain,
% 0.75/0.76 (((~(u1_struct_0(B!1) = u1_struct_0(A!0))) | (~(u1_orders_2(B!1) = u1_orders_2(A!0)))) | (u1_struct_0(B!1) = u1_struct_0(A!0))),
% 0.75/0.76 inference(tautology,[status(thm)],[])).
% 0.75/0.76 tff(322,plain,
% 0.75/0.76 (u1_struct_0(B!1) = u1_struct_0(A!0)),
% 0.75/0.76 inference(unit_resolution,[status(thm)],[321, 320])).
% 0.75/0.76 tff(323,plain,
% 0.75/0.76 (u1_struct_0(A!0) = u1_struct_0(B!1)),
% 0.75/0.76 inference(symmetry,[status(thm)],[322])).
% 0.75/0.76 tff(324,plain,
% 0.75/0.76 (((~![A: $i] : ((~v3_struct_0(A)) | (~l1_orders_2(A)) | (~v2_lattice3(A)))) | ((~l1_orders_2(A!0)) | (~v2_lattice3(A!0)) | (~v3_struct_0(A!0)))) <=> ((~![A: $i] : ((~v3_struct_0(A)) | (~l1_orders_2(A)) | (~v2_lattice3(A)))) | (~l1_orders_2(A!0)) | (~v2_lattice3(A!0)) | (~v3_struct_0(A!0)))),
% 0.75/0.76 inference(rewrite,[status(thm)],[])).
% 0.75/0.76 tff(325,plain,
% 0.75/0.76 (((~v3_struct_0(A!0)) | (~l1_orders_2(A!0)) | (~v2_lattice3(A!0))) <=> ((~l1_orders_2(A!0)) | (~v2_lattice3(A!0)) | (~v3_struct_0(A!0)))),
% 0.75/0.76 inference(rewrite,[status(thm)],[])).
% 0.75/0.76 tff(326,plain,
% 0.75/0.76 (((~![A: $i] : ((~v3_struct_0(A)) | (~l1_orders_2(A)) | (~v2_lattice3(A)))) | ((~v3_struct_0(A!0)) | (~l1_orders_2(A!0)) | (~v2_lattice3(A!0)))) <=> ((~![A: $i] : ((~v3_struct_0(A)) | (~l1_orders_2(A)) | (~v2_lattice3(A)))) | ((~l1_orders_2(A!0)) | (~v2_lattice3(A!0)) | (~v3_struct_0(A!0))))),
% 0.75/0.76 inference(monotonicity,[status(thm)],[325])).
% 0.75/0.76 tff(327,plain,
% 0.75/0.76 (((~![A: $i] : ((~v3_struct_0(A)) | (~l1_orders_2(A)) | (~v2_lattice3(A)))) | ((~v3_struct_0(A!0)) | (~l1_orders_2(A!0)) | (~v2_lattice3(A!0)))) <=> ((~![A: $i] : ((~v3_struct_0(A)) | (~l1_orders_2(A)) | (~v2_lattice3(A)))) | (~l1_orders_2(A!0)) | (~v2_lattice3(A!0)) | (~v3_struct_0(A!0)))),
% 0.75/0.76 inference(transitivity,[status(thm)],[326, 324])).
% 0.75/0.76 tff(328,plain,
% 0.75/0.76 ((~![A: $i] : ((~v3_struct_0(A)) | (~l1_orders_2(A)) | (~v2_lattice3(A)))) | ((~v3_struct_0(A!0)) | (~l1_orders_2(A!0)) | (~v2_lattice3(A!0)))),
% 0.75/0.76 inference(quant_inst,[status(thm)],[])).
% 0.75/0.76 tff(329,plain,
% 0.75/0.76 ((~![A: $i] : ((~v3_struct_0(A)) | (~l1_orders_2(A)) | (~v2_lattice3(A)))) | (~l1_orders_2(A!0)) | (~v2_lattice3(A!0)) | (~v3_struct_0(A!0))),
% 0.75/0.76 inference(modus_ponens,[status(thm)],[328, 327])).
% 0.75/0.76 tff(330,plain,
% 0.75/0.76 (~v3_struct_0(A!0)),
% 0.75/0.76 inference(unit_resolution,[status(thm)],[329, 174, 173, 10])).
% 0.75/0.76 tff(331,plain,
% 0.75/0.76 (((~![A: $i] : (v3_struct_0(A) | m4_yellow_6(k3_waybel28(A), A) | (~l1_orders_2(A)))) | (v3_struct_0(A!0) | (~l1_orders_2(A!0)) | m4_yellow_6(k3_waybel28(A!0), A!0))) <=> ((~![A: $i] : (v3_struct_0(A) | m4_yellow_6(k3_waybel28(A), A) | (~l1_orders_2(A)))) | v3_struct_0(A!0) | (~l1_orders_2(A!0)) | m4_yellow_6(k3_waybel28(A!0), A!0))),
% 0.75/0.76 inference(rewrite,[status(thm)],[])).
% 0.75/0.76 tff(332,plain,
% 0.75/0.76 ((v3_struct_0(A!0) | m4_yellow_6(k3_waybel28(A!0), A!0) | (~l1_orders_2(A!0))) <=> (v3_struct_0(A!0) | (~l1_orders_2(A!0)) | m4_yellow_6(k3_waybel28(A!0), A!0))),
% 0.75/0.76 inference(rewrite,[status(thm)],[])).
% 0.75/0.76 tff(333,plain,
% 0.75/0.76 (((~![A: $i] : (v3_struct_0(A) | m4_yellow_6(k3_waybel28(A), A) | (~l1_orders_2(A)))) | (v3_struct_0(A!0) | m4_yellow_6(k3_waybel28(A!0), A!0) | (~l1_orders_2(A!0)))) <=> ((~![A: $i] : (v3_struct_0(A) | m4_yellow_6(k3_waybel28(A), A) | (~l1_orders_2(A)))) | (v3_struct_0(A!0) | (~l1_orders_2(A!0)) | m4_yellow_6(k3_waybel28(A!0), A!0)))),
% 0.75/0.76 inference(monotonicity,[status(thm)],[332])).
% 0.75/0.76 tff(334,plain,
% 0.75/0.76 (((~![A: $i] : (v3_struct_0(A) | m4_yellow_6(k3_waybel28(A), A) | (~l1_orders_2(A)))) | (v3_struct_0(A!0) | m4_yellow_6(k3_waybel28(A!0), A!0) | (~l1_orders_2(A!0)))) <=> ((~![A: $i] : (v3_struct_0(A) | m4_yellow_6(k3_waybel28(A), A) | (~l1_orders_2(A)))) | v3_struct_0(A!0) | (~l1_orders_2(A!0)) | m4_yellow_6(k3_waybel28(A!0), A!0))),
% 0.75/0.76 inference(transitivity,[status(thm)],[333, 331])).
% 0.75/0.76 tff(335,plain,
% 0.75/0.76 ((~![A: $i] : (v3_struct_0(A) | m4_yellow_6(k3_waybel28(A), A) | (~l1_orders_2(A)))) | (v3_struct_0(A!0) | m4_yellow_6(k3_waybel28(A!0), A!0) | (~l1_orders_2(A!0)))),
% 0.75/0.76 inference(quant_inst,[status(thm)],[])).
% 0.75/0.76 tff(336,plain,
% 0.75/0.76 ((~![A: $i] : (v3_struct_0(A) | m4_yellow_6(k3_waybel28(A), A) | (~l1_orders_2(A)))) | v3_struct_0(A!0) | (~l1_orders_2(A!0)) | m4_yellow_6(k3_waybel28(A!0), A!0)),
% 0.75/0.76 inference(modus_ponens,[status(thm)],[335, 334])).
% 0.75/0.76 tff(337,plain,
% 0.75/0.76 (v3_struct_0(A!0) | m4_yellow_6(k3_waybel28(A!0), A!0)),
% 0.75/0.76 inference(unit_resolution,[status(thm)],[336, 173, 50])).
% 0.75/0.76 tff(338,plain,
% 0.75/0.76 (m4_yellow_6(k3_waybel28(A!0), A!0)),
% 0.75/0.76 inference(unit_resolution,[status(thm)],[337, 330])).
% 0.75/0.76 tff(339,plain,
% 0.75/0.76 (((~![A: $i] : (l1_struct_0(A) | (~l1_orders_2(A)))) | (l1_struct_0(A!0) | (~l1_orders_2(A!0)))) <=> ((~![A: $i] : (l1_struct_0(A) | (~l1_orders_2(A)))) | l1_struct_0(A!0) | (~l1_orders_2(A!0)))),
% 0.75/0.76 inference(rewrite,[status(thm)],[])).
% 0.75/0.76 tff(340,plain,
% 0.75/0.76 ((~![A: $i] : (l1_struct_0(A) | (~l1_orders_2(A)))) | (l1_struct_0(A!0) | (~l1_orders_2(A!0)))),
% 0.75/0.76 inference(quant_inst,[status(thm)],[])).
% 0.75/0.76 tff(341,plain,
% 0.75/0.76 ((~![A: $i] : (l1_struct_0(A) | (~l1_orders_2(A)))) | l1_struct_0(A!0) | (~l1_orders_2(A!0))),
% 0.75/0.76 inference(modus_ponens,[status(thm)],[340, 339])).
% 0.75/0.76 tff(342,plain,
% 0.75/0.76 (l1_struct_0(A!0)),
% 0.75/0.76 inference(unit_resolution,[status(thm)],[341, 173, 68])).
% 0.75/0.76 tff(343,plain,
% 0.75/0.76 (((~![A: $i, B: $i] : (v3_struct_0(A) | (~m4_yellow_6(B, A)) | (~l1_struct_0(A)) | (~((~v1_pre_topc(k14_yellow_6(A, B))) | (~l1_pre_topc(k14_yellow_6(A, B))))))) | (v3_struct_0(A!0) | (~l1_struct_0(A!0)) | (~m4_yellow_6(k3_waybel28(A!0), A!0)) | (~((~v1_pre_topc(k14_yellow_6(A!0, k3_waybel28(A!0)))) | (~l1_pre_topc(k14_yellow_6(A!0, k3_waybel28(A!0)))))))) <=> ((~![A: $i, B: $i] : (v3_struct_0(A) | (~m4_yellow_6(B, A)) | (~l1_struct_0(A)) | (~((~v1_pre_topc(k14_yellow_6(A, B))) | (~l1_pre_topc(k14_yellow_6(A, B))))))) | v3_struct_0(A!0) | (~l1_struct_0(A!0)) | (~m4_yellow_6(k3_waybel28(A!0), A!0)) | (~((~v1_pre_topc(k14_yellow_6(A!0, k3_waybel28(A!0)))) | (~l1_pre_topc(k14_yellow_6(A!0, k3_waybel28(A!0)))))))),
% 0.75/0.76 inference(rewrite,[status(thm)],[])).
% 0.75/0.76 tff(344,plain,
% 0.75/0.76 ((v3_struct_0(A!0) | (~m4_yellow_6(k3_waybel28(A!0), A!0)) | (~l1_struct_0(A!0)) | (~((~v1_pre_topc(k14_yellow_6(A!0, k3_waybel28(A!0)))) | (~l1_pre_topc(k14_yellow_6(A!0, k3_waybel28(A!0))))))) <=> (v3_struct_0(A!0) | (~l1_struct_0(A!0)) | (~m4_yellow_6(k3_waybel28(A!0), A!0)) | (~((~v1_pre_topc(k14_yellow_6(A!0, k3_waybel28(A!0)))) | (~l1_pre_topc(k14_yellow_6(A!0, k3_waybel28(A!0)))))))),
% 0.75/0.76 inference(rewrite,[status(thm)],[])).
% 0.75/0.76 tff(345,plain,
% 0.75/0.76 ((~((~v1_pre_topc(k14_yellow_6(A!0, k3_waybel28(A!0)))) | (~l1_pre_topc(k14_yellow_6(A!0, k3_waybel28(A!0)))))) <=> (~((~v1_pre_topc(k14_yellow_6(A!0, k3_waybel28(A!0)))) | (~l1_pre_topc(k14_yellow_6(A!0, k3_waybel28(A!0))))))),
% 0.75/0.76 inference(rewrite,[status(thm)],[])).
% 0.75/0.76 tff(346,plain,
% 0.75/0.76 ((v3_struct_0(A!0) | (~m4_yellow_6(k3_waybel28(A!0), A!0)) | (~l1_struct_0(A!0)) | (~((~v1_pre_topc(k14_yellow_6(A!0, k3_waybel28(A!0)))) | (~l1_pre_topc(k14_yellow_6(A!0, k3_waybel28(A!0))))))) <=> (v3_struct_0(A!0) | (~m4_yellow_6(k3_waybel28(A!0), A!0)) | (~l1_struct_0(A!0)) | (~((~v1_pre_topc(k14_yellow_6(A!0, k3_waybel28(A!0)))) | (~l1_pre_topc(k14_yellow_6(A!0, k3_waybel28(A!0)))))))),
% 0.75/0.76 inference(monotonicity,[status(thm)],[345])).
% 0.75/0.76 tff(347,plain,
% 0.75/0.76 ((v3_struct_0(A!0) | (~m4_yellow_6(k3_waybel28(A!0), A!0)) | (~l1_struct_0(A!0)) | (~((~v1_pre_topc(k14_yellow_6(A!0, k3_waybel28(A!0)))) | (~l1_pre_topc(k14_yellow_6(A!0, k3_waybel28(A!0))))))) <=> (v3_struct_0(A!0) | (~l1_struct_0(A!0)) | (~m4_yellow_6(k3_waybel28(A!0), A!0)) | (~((~v1_pre_topc(k14_yellow_6(A!0, k3_waybel28(A!0)))) | (~l1_pre_topc(k14_yellow_6(A!0, k3_waybel28(A!0)))))))),
% 0.75/0.76 inference(transitivity,[status(thm)],[346, 344])).
% 0.75/0.76 tff(348,plain,
% 0.75/0.76 (((~![A: $i, B: $i] : (v3_struct_0(A) | (~m4_yellow_6(B, A)) | (~l1_struct_0(A)) | (~((~v1_pre_topc(k14_yellow_6(A, B))) | (~l1_pre_topc(k14_yellow_6(A, B))))))) | (v3_struct_0(A!0) | (~m4_yellow_6(k3_waybel28(A!0), A!0)) | (~l1_struct_0(A!0)) | (~((~v1_pre_topc(k14_yellow_6(A!0, k3_waybel28(A!0)))) | (~l1_pre_topc(k14_yellow_6(A!0, k3_waybel28(A!0)))))))) <=> ((~![A: $i, B: $i] : (v3_struct_0(A) | (~m4_yellow_6(B, A)) | (~l1_struct_0(A)) | (~((~v1_pre_topc(k14_yellow_6(A, B))) | (~l1_pre_topc(k14_yellow_6(A, B))))))) | (v3_struct_0(A!0) | (~l1_struct_0(A!0)) | (~m4_yellow_6(k3_waybel28(A!0), A!0)) | (~((~v1_pre_topc(k14_yellow_6(A!0, k3_waybel28(A!0)))) | (~l1_pre_topc(k14_yellow_6(A!0, k3_waybel28(A!0))))))))),
% 0.75/0.76 inference(monotonicity,[status(thm)],[347])).
% 0.75/0.76 tff(349,plain,
% 0.75/0.76 (((~![A: $i, B: $i] : (v3_struct_0(A) | (~m4_yellow_6(B, A)) | (~l1_struct_0(A)) | (~((~v1_pre_topc(k14_yellow_6(A, B))) | (~l1_pre_topc(k14_yellow_6(A, B))))))) | (v3_struct_0(A!0) | (~m4_yellow_6(k3_waybel28(A!0), A!0)) | (~l1_struct_0(A!0)) | (~((~v1_pre_topc(k14_yellow_6(A!0, k3_waybel28(A!0)))) | (~l1_pre_topc(k14_yellow_6(A!0, k3_waybel28(A!0)))))))) <=> ((~![A: $i, B: $i] : (v3_struct_0(A) | (~m4_yellow_6(B, A)) | (~l1_struct_0(A)) | (~((~v1_pre_topc(k14_yellow_6(A, B))) | (~l1_pre_topc(k14_yellow_6(A, B))))))) | v3_struct_0(A!0) | (~l1_struct_0(A!0)) | (~m4_yellow_6(k3_waybel28(A!0), A!0)) | (~((~v1_pre_topc(k14_yellow_6(A!0, k3_waybel28(A!0)))) | (~l1_pre_topc(k14_yellow_6(A!0, k3_waybel28(A!0)))))))),
% 0.75/0.76 inference(transitivity,[status(thm)],[348, 343])).
% 0.75/0.76 tff(350,plain,
% 0.75/0.76 ((~![A: $i, B: $i] : (v3_struct_0(A) | (~m4_yellow_6(B, A)) | (~l1_struct_0(A)) | (~((~v1_pre_topc(k14_yellow_6(A, B))) | (~l1_pre_topc(k14_yellow_6(A, B))))))) | (v3_struct_0(A!0) | (~m4_yellow_6(k3_waybel28(A!0), A!0)) | (~l1_struct_0(A!0)) | (~((~v1_pre_topc(k14_yellow_6(A!0, k3_waybel28(A!0)))) | (~l1_pre_topc(k14_yellow_6(A!0, k3_waybel28(A!0)))))))),
% 0.75/0.76 inference(quant_inst,[status(thm)],[])).
% 0.75/0.76 tff(351,plain,
% 0.75/0.76 ((~![A: $i, B: $i] : (v3_struct_0(A) | (~m4_yellow_6(B, A)) | (~l1_struct_0(A)) | (~((~v1_pre_topc(k14_yellow_6(A, B))) | (~l1_pre_topc(k14_yellow_6(A, B))))))) | v3_struct_0(A!0) | (~l1_struct_0(A!0)) | (~m4_yellow_6(k3_waybel28(A!0), A!0)) | (~((~v1_pre_topc(k14_yellow_6(A!0, k3_waybel28(A!0)))) | (~l1_pre_topc(k14_yellow_6(A!0, k3_waybel28(A!0))))))),
% 0.75/0.76 inference(modus_ponens,[status(thm)],[350, 349])).
% 0.75/0.76 tff(352,plain,
% 0.75/0.76 ((~m4_yellow_6(k3_waybel28(A!0), A!0)) | (~((~v1_pre_topc(k14_yellow_6(A!0, k3_waybel28(A!0)))) | (~l1_pre_topc(k14_yellow_6(A!0, k3_waybel28(A!0))))))),
% 0.75/0.76 inference(unit_resolution,[status(thm)],[351, 85, 330, 342])).
% 0.75/0.76 tff(353,plain,
% 0.75/0.76 (~((~v1_pre_topc(k14_yellow_6(A!0, k3_waybel28(A!0)))) | (~l1_pre_topc(k14_yellow_6(A!0, k3_waybel28(A!0)))))),
% 0.75/0.76 inference(unit_resolution,[status(thm)],[352, 338])).
% 0.75/0.76 tff(354,plain,
% 0.75/0.76 (((~v1_pre_topc(k14_yellow_6(A!0, k3_waybel28(A!0)))) | (~l1_pre_topc(k14_yellow_6(A!0, k3_waybel28(A!0))))) | l1_pre_topc(k14_yellow_6(A!0, k3_waybel28(A!0)))),
% 0.75/0.76 inference(tautology,[status(thm)],[])).
% 0.75/0.76 tff(355,plain,
% 0.75/0.76 (l1_pre_topc(k14_yellow_6(A!0, k3_waybel28(A!0)))),
% 0.75/0.76 inference(unit_resolution,[status(thm)],[354, 353])).
% 0.75/0.76 tff(356,plain,
% 0.75/0.76 (((~![A: $i, B: $i] : (v3_struct_0(A) | (~m4_yellow_6(B, A)) | (~l1_struct_0(A)) | (~(v3_struct_0(k14_yellow_6(A, B)) | (~v1_pre_topc(k14_yellow_6(A, B))) | (~v2_pre_topc(k14_yellow_6(A, B))))))) | (v3_struct_0(A!0) | (~l1_struct_0(A!0)) | (~m4_yellow_6(k3_waybel28(A!0), A!0)) | (~(v3_struct_0(k14_yellow_6(A!0, k3_waybel28(A!0))) | (~v1_pre_topc(k14_yellow_6(A!0, k3_waybel28(A!0)))) | (~v2_pre_topc(k14_yellow_6(A!0, k3_waybel28(A!0)))))))) <=> ((~![A: $i, B: $i] : (v3_struct_0(A) | (~m4_yellow_6(B, A)) | (~l1_struct_0(A)) | (~(v3_struct_0(k14_yellow_6(A, B)) | (~v1_pre_topc(k14_yellow_6(A, B))) | (~v2_pre_topc(k14_yellow_6(A, B))))))) | v3_struct_0(A!0) | (~l1_struct_0(A!0)) | (~m4_yellow_6(k3_waybel28(A!0), A!0)) | (~(v3_struct_0(k14_yellow_6(A!0, k3_waybel28(A!0))) | (~v1_pre_topc(k14_yellow_6(A!0, k3_waybel28(A!0)))) | (~v2_pre_topc(k14_yellow_6(A!0, k3_waybel28(A!0)))))))),
% 0.75/0.77 inference(rewrite,[status(thm)],[])).
% 0.75/0.77 tff(357,plain,
% 0.75/0.77 ((v3_struct_0(A!0) | (~m4_yellow_6(k3_waybel28(A!0), A!0)) | (~l1_struct_0(A!0)) | (~(v3_struct_0(k14_yellow_6(A!0, k3_waybel28(A!0))) | (~v1_pre_topc(k14_yellow_6(A!0, k3_waybel28(A!0)))) | (~v2_pre_topc(k14_yellow_6(A!0, k3_waybel28(A!0))))))) <=> (v3_struct_0(A!0) | (~l1_struct_0(A!0)) | (~m4_yellow_6(k3_waybel28(A!0), A!0)) | (~(v3_struct_0(k14_yellow_6(A!0, k3_waybel28(A!0))) | (~v1_pre_topc(k14_yellow_6(A!0, k3_waybel28(A!0)))) | (~v2_pre_topc(k14_yellow_6(A!0, k3_waybel28(A!0)))))))),
% 0.75/0.77 inference(rewrite,[status(thm)],[])).
% 0.75/0.77 tff(358,plain,
% 0.75/0.77 (((~![A: $i, B: $i] : (v3_struct_0(A) | (~m4_yellow_6(B, A)) | (~l1_struct_0(A)) | (~(v3_struct_0(k14_yellow_6(A, B)) | (~v1_pre_topc(k14_yellow_6(A, B))) | (~v2_pre_topc(k14_yellow_6(A, B))))))) | (v3_struct_0(A!0) | (~m4_yellow_6(k3_waybel28(A!0), A!0)) | (~l1_struct_0(A!0)) | (~(v3_struct_0(k14_yellow_6(A!0, k3_waybel28(A!0))) | (~v1_pre_topc(k14_yellow_6(A!0, k3_waybel28(A!0)))) | (~v2_pre_topc(k14_yellow_6(A!0, k3_waybel28(A!0)))))))) <=> ((~![A: $i, B: $i] : (v3_struct_0(A) | (~m4_yellow_6(B, A)) | (~l1_struct_0(A)) | (~(v3_struct_0(k14_yellow_6(A, B)) | (~v1_pre_topc(k14_yellow_6(A, B))) | (~v2_pre_topc(k14_yellow_6(A, B))))))) | (v3_struct_0(A!0) | (~l1_struct_0(A!0)) | (~m4_yellow_6(k3_waybel28(A!0), A!0)) | (~(v3_struct_0(k14_yellow_6(A!0, k3_waybel28(A!0))) | (~v1_pre_topc(k14_yellow_6(A!0, k3_waybel28(A!0)))) | (~v2_pre_topc(k14_yellow_6(A!0, k3_waybel28(A!0))))))))),
% 0.75/0.77 inference(monotonicity,[status(thm)],[357])).
% 0.75/0.77 tff(359,plain,
% 0.75/0.77 (((~![A: $i, B: $i] : (v3_struct_0(A) | (~m4_yellow_6(B, A)) | (~l1_struct_0(A)) | (~(v3_struct_0(k14_yellow_6(A, B)) | (~v1_pre_topc(k14_yellow_6(A, B))) | (~v2_pre_topc(k14_yellow_6(A, B))))))) | (v3_struct_0(A!0) | (~m4_yellow_6(k3_waybel28(A!0), A!0)) | (~l1_struct_0(A!0)) | (~(v3_struct_0(k14_yellow_6(A!0, k3_waybel28(A!0))) | (~v1_pre_topc(k14_yellow_6(A!0, k3_waybel28(A!0)))) | (~v2_pre_topc(k14_yellow_6(A!0, k3_waybel28(A!0)))))))) <=> ((~![A: $i, B: $i] : (v3_struct_0(A) | (~m4_yellow_6(B, A)) | (~l1_struct_0(A)) | (~(v3_struct_0(k14_yellow_6(A, B)) | (~v1_pre_topc(k14_yellow_6(A, B))) | (~v2_pre_topc(k14_yellow_6(A, B))))))) | v3_struct_0(A!0) | (~l1_struct_0(A!0)) | (~m4_yellow_6(k3_waybel28(A!0), A!0)) | (~(v3_struct_0(k14_yellow_6(A!0, k3_waybel28(A!0))) | (~v1_pre_topc(k14_yellow_6(A!0, k3_waybel28(A!0)))) | (~v2_pre_topc(k14_yellow_6(A!0, k3_waybel28(A!0)))))))),
% 0.75/0.77 inference(transitivity,[status(thm)],[358, 356])).
% 0.75/0.77 tff(360,plain,
% 0.75/0.77 ((~![A: $i, B: $i] : (v3_struct_0(A) | (~m4_yellow_6(B, A)) | (~l1_struct_0(A)) | (~(v3_struct_0(k14_yellow_6(A, B)) | (~v1_pre_topc(k14_yellow_6(A, B))) | (~v2_pre_topc(k14_yellow_6(A, B))))))) | (v3_struct_0(A!0) | (~m4_yellow_6(k3_waybel28(A!0), A!0)) | (~l1_struct_0(A!0)) | (~(v3_struct_0(k14_yellow_6(A!0, k3_waybel28(A!0))) | (~v1_pre_topc(k14_yellow_6(A!0, k3_waybel28(A!0)))) | (~v2_pre_topc(k14_yellow_6(A!0, k3_waybel28(A!0)))))))),
% 0.75/0.77 inference(quant_inst,[status(thm)],[])).
% 0.75/0.77 tff(361,plain,
% 0.75/0.77 ((~![A: $i, B: $i] : (v3_struct_0(A) | (~m4_yellow_6(B, A)) | (~l1_struct_0(A)) | (~(v3_struct_0(k14_yellow_6(A, B)) | (~v1_pre_topc(k14_yellow_6(A, B))) | (~v2_pre_topc(k14_yellow_6(A, B))))))) | v3_struct_0(A!0) | (~l1_struct_0(A!0)) | (~m4_yellow_6(k3_waybel28(A!0), A!0)) | (~(v3_struct_0(k14_yellow_6(A!0, k3_waybel28(A!0))) | (~v1_pre_topc(k14_yellow_6(A!0, k3_waybel28(A!0)))) | (~v2_pre_topc(k14_yellow_6(A!0, k3_waybel28(A!0))))))),
% 0.75/0.77 inference(modus_ponens,[status(thm)],[360, 359])).
% 0.75/0.77 tff(362,plain,
% 0.75/0.77 ((~m4_yellow_6(k3_waybel28(A!0), A!0)) | (~(v3_struct_0(k14_yellow_6(A!0, k3_waybel28(A!0))) | (~v1_pre_topc(k14_yellow_6(A!0, k3_waybel28(A!0)))) | (~v2_pre_topc(k14_yellow_6(A!0, k3_waybel28(A!0))))))),
% 0.75/0.77 inference(unit_resolution,[status(thm)],[361, 111, 330, 342])).
% 0.75/0.77 tff(363,plain,
% 0.75/0.77 (~(v3_struct_0(k14_yellow_6(A!0, k3_waybel28(A!0))) | (~v1_pre_topc(k14_yellow_6(A!0, k3_waybel28(A!0)))) | (~v2_pre_topc(k14_yellow_6(A!0, k3_waybel28(A!0)))))),
% 0.75/0.77 inference(unit_resolution,[status(thm)],[362, 338])).
% 0.75/0.77 tff(364,plain,
% 0.75/0.77 ((v3_struct_0(k14_yellow_6(A!0, k3_waybel28(A!0))) | (~v1_pre_topc(k14_yellow_6(A!0, k3_waybel28(A!0)))) | (~v2_pre_topc(k14_yellow_6(A!0, k3_waybel28(A!0))))) | v1_pre_topc(k14_yellow_6(A!0, k3_waybel28(A!0)))),
% 0.75/0.77 inference(tautology,[status(thm)],[])).
% 0.75/0.77 tff(365,plain,
% 0.75/0.77 (v1_pre_topc(k14_yellow_6(A!0, k3_waybel28(A!0)))),
% 0.75/0.77 inference(unit_resolution,[status(thm)],[364, 363])).
% 0.75/0.77 tff(366,plain,
% 0.75/0.77 (((~![A: $i] : ((A = g1_pre_topc(u1_struct_0(A), u1_pre_topc(A))) | (~v1_pre_topc(A)) | (~l1_pre_topc(A)))) | ((~v1_pre_topc(k14_yellow_6(A!0, k3_waybel28(A!0)))) | (~l1_pre_topc(k14_yellow_6(A!0, k3_waybel28(A!0)))) | (k14_yellow_6(A!0, k3_waybel28(A!0)) = g1_pre_topc(u1_struct_0(k14_yellow_6(A!0, k3_waybel28(A!0))), u1_pre_topc(k14_yellow_6(A!0, k3_waybel28(A!0))))))) <=> ((~![A: $i] : ((A = g1_pre_topc(u1_struct_0(A), u1_pre_topc(A))) | (~v1_pre_topc(A)) | (~l1_pre_topc(A)))) | (~v1_pre_topc(k14_yellow_6(A!0, k3_waybel28(A!0)))) | (~l1_pre_topc(k14_yellow_6(A!0, k3_waybel28(A!0)))) | (k14_yellow_6(A!0, k3_waybel28(A!0)) = g1_pre_topc(u1_struct_0(k14_yellow_6(A!0, k3_waybel28(A!0))), u1_pre_topc(k14_yellow_6(A!0, k3_waybel28(A!0))))))),
% 0.75/0.77 inference(rewrite,[status(thm)],[])).
% 0.75/0.77 tff(367,plain,
% 0.75/0.77 (((k14_yellow_6(A!0, k3_waybel28(A!0)) = g1_pre_topc(u1_struct_0(k14_yellow_6(A!0, k3_waybel28(A!0))), u1_pre_topc(k14_yellow_6(A!0, k3_waybel28(A!0))))) | (~v1_pre_topc(k14_yellow_6(A!0, k3_waybel28(A!0)))) | (~l1_pre_topc(k14_yellow_6(A!0, k3_waybel28(A!0))))) <=> ((~v1_pre_topc(k14_yellow_6(A!0, k3_waybel28(A!0)))) | (~l1_pre_topc(k14_yellow_6(A!0, k3_waybel28(A!0)))) | (k14_yellow_6(A!0, k3_waybel28(A!0)) = g1_pre_topc(u1_struct_0(k14_yellow_6(A!0, k3_waybel28(A!0))), u1_pre_topc(k14_yellow_6(A!0, k3_waybel28(A!0))))))),
% 0.75/0.77 inference(rewrite,[status(thm)],[])).
% 0.75/0.77 tff(368,plain,
% 0.75/0.77 (((~![A: $i] : ((A = g1_pre_topc(u1_struct_0(A), u1_pre_topc(A))) | (~v1_pre_topc(A)) | (~l1_pre_topc(A)))) | ((k14_yellow_6(A!0, k3_waybel28(A!0)) = g1_pre_topc(u1_struct_0(k14_yellow_6(A!0, k3_waybel28(A!0))), u1_pre_topc(k14_yellow_6(A!0, k3_waybel28(A!0))))) | (~v1_pre_topc(k14_yellow_6(A!0, k3_waybel28(A!0)))) | (~l1_pre_topc(k14_yellow_6(A!0, k3_waybel28(A!0)))))) <=> ((~![A: $i] : ((A = g1_pre_topc(u1_struct_0(A), u1_pre_topc(A))) | (~v1_pre_topc(A)) | (~l1_pre_topc(A)))) | ((~v1_pre_topc(k14_yellow_6(A!0, k3_waybel28(A!0)))) | (~l1_pre_topc(k14_yellow_6(A!0, k3_waybel28(A!0)))) | (k14_yellow_6(A!0, k3_waybel28(A!0)) = g1_pre_topc(u1_struct_0(k14_yellow_6(A!0, k3_waybel28(A!0))), u1_pre_topc(k14_yellow_6(A!0, k3_waybel28(A!0)))))))),
% 0.75/0.77 inference(monotonicity,[status(thm)],[367])).
% 0.75/0.77 tff(369,plain,
% 0.75/0.77 (((~![A: $i] : ((A = g1_pre_topc(u1_struct_0(A), u1_pre_topc(A))) | (~v1_pre_topc(A)) | (~l1_pre_topc(A)))) | ((k14_yellow_6(A!0, k3_waybel28(A!0)) = g1_pre_topc(u1_struct_0(k14_yellow_6(A!0, k3_waybel28(A!0))), u1_pre_topc(k14_yellow_6(A!0, k3_waybel28(A!0))))) | (~v1_pre_topc(k14_yellow_6(A!0, k3_waybel28(A!0)))) | (~l1_pre_topc(k14_yellow_6(A!0, k3_waybel28(A!0)))))) <=> ((~![A: $i] : ((A = g1_pre_topc(u1_struct_0(A), u1_pre_topc(A))) | (~v1_pre_topc(A)) | (~l1_pre_topc(A)))) | (~v1_pre_topc(k14_yellow_6(A!0, k3_waybel28(A!0)))) | (~l1_pre_topc(k14_yellow_6(A!0, k3_waybel28(A!0)))) | (k14_yellow_6(A!0, k3_waybel28(A!0)) = g1_pre_topc(u1_struct_0(k14_yellow_6(A!0, k3_waybel28(A!0))), u1_pre_topc(k14_yellow_6(A!0, k3_waybel28(A!0))))))),
% 0.75/0.77 inference(transitivity,[status(thm)],[368, 366])).
% 0.75/0.77 tff(370,plain,
% 0.75/0.77 ((~![A: $i] : ((A = g1_pre_topc(u1_struct_0(A), u1_pre_topc(A))) | (~v1_pre_topc(A)) | (~l1_pre_topc(A)))) | ((k14_yellow_6(A!0, k3_waybel28(A!0)) = g1_pre_topc(u1_struct_0(k14_yellow_6(A!0, k3_waybel28(A!0))), u1_pre_topc(k14_yellow_6(A!0, k3_waybel28(A!0))))) | (~v1_pre_topc(k14_yellow_6(A!0, k3_waybel28(A!0)))) | (~l1_pre_topc(k14_yellow_6(A!0, k3_waybel28(A!0)))))),
% 0.75/0.77 inference(quant_inst,[status(thm)],[])).
% 0.75/0.77 tff(371,plain,
% 0.75/0.77 ((~![A: $i] : ((A = g1_pre_topc(u1_struct_0(A), u1_pre_topc(A))) | (~v1_pre_topc(A)) | (~l1_pre_topc(A)))) | (~v1_pre_topc(k14_yellow_6(A!0, k3_waybel28(A!0)))) | (~l1_pre_topc(k14_yellow_6(A!0, k3_waybel28(A!0)))) | (k14_yellow_6(A!0, k3_waybel28(A!0)) = g1_pre_topc(u1_struct_0(k14_yellow_6(A!0, k3_waybel28(A!0))), u1_pre_topc(k14_yellow_6(A!0, k3_waybel28(A!0)))))),
% 0.75/0.77 inference(modus_ponens,[status(thm)],[370, 369])).
% 0.75/0.77 tff(372,plain,
% 0.75/0.77 (k14_yellow_6(A!0, k3_waybel28(A!0)) = g1_pre_topc(u1_struct_0(k14_yellow_6(A!0, k3_waybel28(A!0))), u1_pre_topc(k14_yellow_6(A!0, k3_waybel28(A!0))))),
% 0.75/0.77 inference(unit_resolution,[status(thm)],[371, 131, 365, 355])).
% 0.75/0.77 tff(373,plain,
% 0.75/0.77 (g1_pre_topc(u1_struct_0(k14_yellow_6(A!0, k3_waybel28(A!0))), u1_pre_topc(k14_yellow_6(A!0, k3_waybel28(A!0)))) = k14_yellow_6(A!0, k3_waybel28(A!0))),
% 0.75/0.77 inference(symmetry,[status(thm)],[372])).
% 0.75/0.77 tff(374,plain,
% 0.75/0.77 (v1_pre_topc(g1_pre_topc(u1_struct_0(k14_yellow_6(A!0, k3_waybel28(A!0))), u1_pre_topc(k14_yellow_6(A!0, k3_waybel28(A!0))))) <=> v1_pre_topc(k14_yellow_6(A!0, k3_waybel28(A!0)))),
% 0.75/0.77 inference(monotonicity,[status(thm)],[373])).
% 0.75/0.77 tff(375,plain,
% 0.75/0.77 (v1_pre_topc(k14_yellow_6(A!0, k3_waybel28(A!0))) <=> v1_pre_topc(g1_pre_topc(u1_struct_0(k14_yellow_6(A!0, k3_waybel28(A!0))), u1_pre_topc(k14_yellow_6(A!0, k3_waybel28(A!0)))))),
% 0.75/0.77 inference(symmetry,[status(thm)],[374])).
% 0.75/0.77 tff(376,plain,
% 0.75/0.77 (v1_pre_topc(g1_pre_topc(u1_struct_0(k14_yellow_6(A!0, k3_waybel28(A!0))), u1_pre_topc(k14_yellow_6(A!0, k3_waybel28(A!0)))))),
% 0.75/0.77 inference(modus_ponens,[status(thm)],[365, 375])).
% 0.75/0.77 tff(377,plain,
% 0.75/0.77 (l1_pre_topc(g1_pre_topc(u1_struct_0(k14_yellow_6(A!0, k3_waybel28(A!0))), u1_pre_topc(k14_yellow_6(A!0, k3_waybel28(A!0))))) <=> l1_pre_topc(k14_yellow_6(A!0, k3_waybel28(A!0)))),
% 0.75/0.77 inference(monotonicity,[status(thm)],[373])).
% 0.75/0.77 tff(378,plain,
% 0.75/0.77 (l1_pre_topc(k14_yellow_6(A!0, k3_waybel28(A!0))) <=> l1_pre_topc(g1_pre_topc(u1_struct_0(k14_yellow_6(A!0, k3_waybel28(A!0))), u1_pre_topc(k14_yellow_6(A!0, k3_waybel28(A!0)))))),
% 0.75/0.77 inference(symmetry,[status(thm)],[377])).
% 0.75/0.77 tff(379,plain,
% 0.75/0.77 (l1_pre_topc(g1_pre_topc(u1_struct_0(k14_yellow_6(A!0, k3_waybel28(A!0))), u1_pre_topc(k14_yellow_6(A!0, k3_waybel28(A!0)))))),
% 0.75/0.77 inference(modus_ponens,[status(thm)],[355, 378])).
% 0.75/0.77 tff(380,plain,
% 0.75/0.77 (((~![A: $i] : (v3_struct_0(A) | (~l1_struct_0(A)) | ![B: $i] : ((~m4_yellow_6(B, A)) | ![C: $i] : ((~v1_pre_topc(C)) | (~l1_pre_topc(C)) | ((C = k14_yellow_6(A, B)) <=> (~((~(u1_struct_0(C) = u1_struct_0(A))) | (~(u1_pre_topc(C) = a_2_1_yellow_6(A, B)))))))))) | (v3_struct_0(A!0) | (~l1_struct_0(A!0)) | ![B: $i] : ((~m4_yellow_6(B, A!0)) | ![C: $i] : ((~v1_pre_topc(C)) | (~l1_pre_topc(C)) | ((C = k14_yellow_6(A!0, B)) <=> (~((~(u1_struct_0(C) = u1_struct_0(A!0))) | (~(u1_pre_topc(C) = a_2_1_yellow_6(A!0, B)))))))))) <=> ((~![A: $i] : (v3_struct_0(A) | (~l1_struct_0(A)) | ![B: $i] : ((~m4_yellow_6(B, A)) | ![C: $i] : ((~v1_pre_topc(C)) | (~l1_pre_topc(C)) | ((C = k14_yellow_6(A, B)) <=> (~((~(u1_struct_0(C) = u1_struct_0(A))) | (~(u1_pre_topc(C) = a_2_1_yellow_6(A, B)))))))))) | v3_struct_0(A!0) | (~l1_struct_0(A!0)) | ![B: $i] : ((~m4_yellow_6(B, A!0)) | ![C: $i] : ((~v1_pre_topc(C)) | (~l1_pre_topc(C)) | ((C = k14_yellow_6(A!0, B)) <=> (~((~(u1_struct_0(C) = u1_struct_0(A!0))) | (~(u1_pre_topc(C) = a_2_1_yellow_6(A!0, B)))))))))),
% 0.75/0.77 inference(rewrite,[status(thm)],[])).
% 0.75/0.77 tff(381,plain,
% 0.75/0.77 ((~![A: $i] : (v3_struct_0(A) | (~l1_struct_0(A)) | ![B: $i] : ((~m4_yellow_6(B, A)) | ![C: $i] : ((~v1_pre_topc(C)) | (~l1_pre_topc(C)) | ((C = k14_yellow_6(A, B)) <=> (~((~(u1_struct_0(C) = u1_struct_0(A))) | (~(u1_pre_topc(C) = a_2_1_yellow_6(A, B)))))))))) | (v3_struct_0(A!0) | (~l1_struct_0(A!0)) | ![B: $i] : ((~m4_yellow_6(B, A!0)) | ![C: $i] : ((~v1_pre_topc(C)) | (~l1_pre_topc(C)) | ((C = k14_yellow_6(A!0, B)) <=> (~((~(u1_struct_0(C) = u1_struct_0(A!0))) | (~(u1_pre_topc(C) = a_2_1_yellow_6(A!0, B)))))))))),
% 0.82/0.77 inference(quant_inst,[status(thm)],[])).
% 0.82/0.77 tff(382,plain,
% 0.82/0.77 ((~![A: $i] : (v3_struct_0(A) | (~l1_struct_0(A)) | ![B: $i] : ((~m4_yellow_6(B, A)) | ![C: $i] : ((~v1_pre_topc(C)) | (~l1_pre_topc(C)) | ((C = k14_yellow_6(A, B)) <=> (~((~(u1_struct_0(C) = u1_struct_0(A))) | (~(u1_pre_topc(C) = a_2_1_yellow_6(A, B)))))))))) | v3_struct_0(A!0) | (~l1_struct_0(A!0)) | ![B: $i] : ((~m4_yellow_6(B, A!0)) | ![C: $i] : ((~v1_pre_topc(C)) | (~l1_pre_topc(C)) | ((C = k14_yellow_6(A!0, B)) <=> (~((~(u1_struct_0(C) = u1_struct_0(A!0))) | (~(u1_pre_topc(C) = a_2_1_yellow_6(A!0, B))))))))),
% 0.82/0.77 inference(modus_ponens,[status(thm)],[381, 380])).
% 0.82/0.77 tff(383,plain,
% 0.82/0.77 (v3_struct_0(A!0) | (~l1_struct_0(A!0)) | ![B: $i] : ((~m4_yellow_6(B, A!0)) | ![C: $i] : ((~v1_pre_topc(C)) | (~l1_pre_topc(C)) | ((C = k14_yellow_6(A!0, B)) <=> (~((~(u1_struct_0(C) = u1_struct_0(A!0))) | (~(u1_pre_topc(C) = a_2_1_yellow_6(A!0, B))))))))),
% 0.82/0.77 inference(unit_resolution,[status(thm)],[382, 249])).
% 0.82/0.77 tff(384,plain,
% 0.82/0.77 (![B: $i] : ((~m4_yellow_6(B, A!0)) | ![C: $i] : ((~v1_pre_topc(C)) | (~l1_pre_topc(C)) | ((C = k14_yellow_6(A!0, B)) <=> (~((~(u1_struct_0(C) = u1_struct_0(A!0))) | (~(u1_pre_topc(C) = a_2_1_yellow_6(A!0, B))))))))),
% 0.82/0.77 inference(unit_resolution,[status(thm)],[383, 330, 342])).
% 0.82/0.77 tff(385,plain,
% 0.82/0.77 (((~![B: $i] : ((~m4_yellow_6(B, A!0)) | ![C: $i] : ((~v1_pre_topc(C)) | (~l1_pre_topc(C)) | ((C = k14_yellow_6(A!0, B)) <=> (~((~(u1_struct_0(C) = u1_struct_0(A!0))) | (~(u1_pre_topc(C) = a_2_1_yellow_6(A!0, B))))))))) | ((~m4_yellow_6(k3_waybel28(A!0), A!0)) | ![C: $i] : ((~v1_pre_topc(C)) | (~l1_pre_topc(C)) | ((C = k14_yellow_6(A!0, k3_waybel28(A!0))) <=> (~((~(u1_struct_0(C) = u1_struct_0(A!0))) | (~(u1_pre_topc(C) = a_2_1_yellow_6(A!0, k3_waybel28(A!0)))))))))) <=> ((~![B: $i] : ((~m4_yellow_6(B, A!0)) | ![C: $i] : ((~v1_pre_topc(C)) | (~l1_pre_topc(C)) | ((C = k14_yellow_6(A!0, B)) <=> (~((~(u1_struct_0(C) = u1_struct_0(A!0))) | (~(u1_pre_topc(C) = a_2_1_yellow_6(A!0, B))))))))) | (~m4_yellow_6(k3_waybel28(A!0), A!0)) | ![C: $i] : ((~v1_pre_topc(C)) | (~l1_pre_topc(C)) | ((C = k14_yellow_6(A!0, k3_waybel28(A!0))) <=> (~((~(u1_struct_0(C) = u1_struct_0(A!0))) | (~(u1_pre_topc(C) = a_2_1_yellow_6(A!0, k3_waybel28(A!0)))))))))),
% 0.82/0.77 inference(rewrite,[status(thm)],[])).
% 0.82/0.77 tff(386,plain,
% 0.82/0.77 ((~![B: $i] : ((~m4_yellow_6(B, A!0)) | ![C: $i] : ((~v1_pre_topc(C)) | (~l1_pre_topc(C)) | ((C = k14_yellow_6(A!0, B)) <=> (~((~(u1_struct_0(C) = u1_struct_0(A!0))) | (~(u1_pre_topc(C) = a_2_1_yellow_6(A!0, B))))))))) | ((~m4_yellow_6(k3_waybel28(A!0), A!0)) | ![C: $i] : ((~v1_pre_topc(C)) | (~l1_pre_topc(C)) | ((C = k14_yellow_6(A!0, k3_waybel28(A!0))) <=> (~((~(u1_struct_0(C) = u1_struct_0(A!0))) | (~(u1_pre_topc(C) = a_2_1_yellow_6(A!0, k3_waybel28(A!0)))))))))),
% 0.82/0.77 inference(quant_inst,[status(thm)],[])).
% 0.82/0.77 tff(387,plain,
% 0.82/0.77 ((~![B: $i] : ((~m4_yellow_6(B, A!0)) | ![C: $i] : ((~v1_pre_topc(C)) | (~l1_pre_topc(C)) | ((C = k14_yellow_6(A!0, B)) <=> (~((~(u1_struct_0(C) = u1_struct_0(A!0))) | (~(u1_pre_topc(C) = a_2_1_yellow_6(A!0, B))))))))) | (~m4_yellow_6(k3_waybel28(A!0), A!0)) | ![C: $i] : ((~v1_pre_topc(C)) | (~l1_pre_topc(C)) | ((C = k14_yellow_6(A!0, k3_waybel28(A!0))) <=> (~((~(u1_struct_0(C) = u1_struct_0(A!0))) | (~(u1_pre_topc(C) = a_2_1_yellow_6(A!0, k3_waybel28(A!0))))))))),
% 0.82/0.77 inference(modus_ponens,[status(thm)],[386, 385])).
% 0.82/0.77 tff(388,plain,
% 0.82/0.77 (![C: $i] : ((~v1_pre_topc(C)) | (~l1_pre_topc(C)) | ((C = k14_yellow_6(A!0, k3_waybel28(A!0))) <=> (~((~(u1_struct_0(C) = u1_struct_0(A!0))) | (~(u1_pre_topc(C) = a_2_1_yellow_6(A!0, k3_waybel28(A!0))))))))),
% 0.82/0.77 inference(unit_resolution,[status(thm)],[387, 384, 338])).
% 0.82/0.77 tff(389,plain,
% 0.82/0.77 (((~![C: $i] : ((~v1_pre_topc(C)) | (~l1_pre_topc(C)) | ((C = k14_yellow_6(A!0, k3_waybel28(A!0))) <=> (~((~(u1_struct_0(C) = u1_struct_0(A!0))) | (~(u1_pre_topc(C) = a_2_1_yellow_6(A!0, k3_waybel28(A!0))))))))) | ((~v1_pre_topc(g1_pre_topc(u1_struct_0(k14_yellow_6(A!0, k3_waybel28(A!0))), u1_pre_topc(k14_yellow_6(A!0, k3_waybel28(A!0)))))) | (~l1_pre_topc(g1_pre_topc(u1_struct_0(k14_yellow_6(A!0, k3_waybel28(A!0))), u1_pre_topc(k14_yellow_6(A!0, k3_waybel28(A!0)))))) | ((g1_pre_topc(u1_struct_0(k14_yellow_6(A!0, k3_waybel28(A!0))), u1_pre_topc(k14_yellow_6(A!0, k3_waybel28(A!0)))) = k14_yellow_6(A!0, k3_waybel28(A!0))) <=> (~((~(u1_struct_0(g1_pre_topc(u1_struct_0(k14_yellow_6(A!0, k3_waybel28(A!0))), u1_pre_topc(k14_yellow_6(A!0, k3_waybel28(A!0))))) = u1_struct_0(A!0))) | (~(u1_pre_topc(g1_pre_topc(u1_struct_0(k14_yellow_6(A!0, k3_waybel28(A!0))), u1_pre_topc(k14_yellow_6(A!0, k3_waybel28(A!0))))) = a_2_1_yellow_6(A!0, k3_waybel28(A!0))))))))) <=> ((~![C: $i] : ((~v1_pre_topc(C)) | (~l1_pre_topc(C)) | ((C = k14_yellow_6(A!0, k3_waybel28(A!0))) <=> (~((~(u1_struct_0(C) = u1_struct_0(A!0))) | (~(u1_pre_topc(C) = a_2_1_yellow_6(A!0, k3_waybel28(A!0))))))))) | (~v1_pre_topc(g1_pre_topc(u1_struct_0(k14_yellow_6(A!0, k3_waybel28(A!0))), u1_pre_topc(k14_yellow_6(A!0, k3_waybel28(A!0)))))) | (~l1_pre_topc(g1_pre_topc(u1_struct_0(k14_yellow_6(A!0, k3_waybel28(A!0))), u1_pre_topc(k14_yellow_6(A!0, k3_waybel28(A!0)))))) | ((g1_pre_topc(u1_struct_0(k14_yellow_6(A!0, k3_waybel28(A!0))), u1_pre_topc(k14_yellow_6(A!0, k3_waybel28(A!0)))) = k14_yellow_6(A!0, k3_waybel28(A!0))) <=> (~((~(u1_struct_0(g1_pre_topc(u1_struct_0(k14_yellow_6(A!0, k3_waybel28(A!0))), u1_pre_topc(k14_yellow_6(A!0, k3_waybel28(A!0))))) = u1_struct_0(A!0))) | (~(u1_pre_topc(g1_pre_topc(u1_struct_0(k14_yellow_6(A!0, k3_waybel28(A!0))), u1_pre_topc(k14_yellow_6(A!0, k3_waybel28(A!0))))) = a_2_1_yellow_6(A!0, k3_waybel28(A!0))))))))),
% 0.82/0.77 inference(rewrite,[status(thm)],[])).
% 0.82/0.77 tff(390,plain,
% 0.82/0.77 ((~![C: $i] : ((~v1_pre_topc(C)) | (~l1_pre_topc(C)) | ((C = k14_yellow_6(A!0, k3_waybel28(A!0))) <=> (~((~(u1_struct_0(C) = u1_struct_0(A!0))) | (~(u1_pre_topc(C) = a_2_1_yellow_6(A!0, k3_waybel28(A!0))))))))) | ((~v1_pre_topc(g1_pre_topc(u1_struct_0(k14_yellow_6(A!0, k3_waybel28(A!0))), u1_pre_topc(k14_yellow_6(A!0, k3_waybel28(A!0)))))) | (~l1_pre_topc(g1_pre_topc(u1_struct_0(k14_yellow_6(A!0, k3_waybel28(A!0))), u1_pre_topc(k14_yellow_6(A!0, k3_waybel28(A!0)))))) | ((g1_pre_topc(u1_struct_0(k14_yellow_6(A!0, k3_waybel28(A!0))), u1_pre_topc(k14_yellow_6(A!0, k3_waybel28(A!0)))) = k14_yellow_6(A!0, k3_waybel28(A!0))) <=> (~((~(u1_struct_0(g1_pre_topc(u1_struct_0(k14_yellow_6(A!0, k3_waybel28(A!0))), u1_pre_topc(k14_yellow_6(A!0, k3_waybel28(A!0))))) = u1_struct_0(A!0))) | (~(u1_pre_topc(g1_pre_topc(u1_struct_0(k14_yellow_6(A!0, k3_waybel28(A!0))), u1_pre_topc(k14_yellow_6(A!0, k3_waybel28(A!0))))) = a_2_1_yellow_6(A!0, k3_waybel28(A!0))))))))),
% 0.82/0.77 inference(quant_inst,[status(thm)],[])).
% 0.82/0.77 tff(391,plain,
% 0.82/0.77 ((~![C: $i] : ((~v1_pre_topc(C)) | (~l1_pre_topc(C)) | ((C = k14_yellow_6(A!0, k3_waybel28(A!0))) <=> (~((~(u1_struct_0(C) = u1_struct_0(A!0))) | (~(u1_pre_topc(C) = a_2_1_yellow_6(A!0, k3_waybel28(A!0))))))))) | (~v1_pre_topc(g1_pre_topc(u1_struct_0(k14_yellow_6(A!0, k3_waybel28(A!0))), u1_pre_topc(k14_yellow_6(A!0, k3_waybel28(A!0)))))) | (~l1_pre_topc(g1_pre_topc(u1_struct_0(k14_yellow_6(A!0, k3_waybel28(A!0))), u1_pre_topc(k14_yellow_6(A!0, k3_waybel28(A!0)))))) | ((g1_pre_topc(u1_struct_0(k14_yellow_6(A!0, k3_waybel28(A!0))), u1_pre_topc(k14_yellow_6(A!0, k3_waybel28(A!0)))) = k14_yellow_6(A!0, k3_waybel28(A!0))) <=> (~((~(u1_struct_0(g1_pre_topc(u1_struct_0(k14_yellow_6(A!0, k3_waybel28(A!0))), u1_pre_topc(k14_yellow_6(A!0, k3_waybel28(A!0))))) = u1_struct_0(A!0))) | (~(u1_pre_topc(g1_pre_topc(u1_struct_0(k14_yellow_6(A!0, k3_waybel28(A!0))), u1_pre_topc(k14_yellow_6(A!0, k3_waybel28(A!0))))) = a_2_1_yellow_6(A!0, k3_waybel28(A!0)))))))),
% 0.82/0.77 inference(modus_ponens,[status(thm)],[390, 389])).
% 0.82/0.77 tff(392,plain,
% 0.82/0.77 ((~v1_pre_topc(g1_pre_topc(u1_struct_0(k14_yellow_6(A!0, k3_waybel28(A!0))), u1_pre_topc(k14_yellow_6(A!0, k3_waybel28(A!0)))))) | (~l1_pre_topc(g1_pre_topc(u1_struct_0(k14_yellow_6(A!0, k3_waybel28(A!0))), u1_pre_topc(k14_yellow_6(A!0, k3_waybel28(A!0)))))) | ((g1_pre_topc(u1_struct_0(k14_yellow_6(A!0, k3_waybel28(A!0))), u1_pre_topc(k14_yellow_6(A!0, k3_waybel28(A!0)))) = k14_yellow_6(A!0, k3_waybel28(A!0))) <=> (~((~(u1_struct_0(g1_pre_topc(u1_struct_0(k14_yellow_6(A!0, k3_waybel28(A!0))), u1_pre_topc(k14_yellow_6(A!0, k3_waybel28(A!0))))) = u1_struct_0(A!0))) | (~(u1_pre_topc(g1_pre_topc(u1_struct_0(k14_yellow_6(A!0, k3_waybel28(A!0))), u1_pre_topc(k14_yellow_6(A!0, k3_waybel28(A!0))))) = a_2_1_yellow_6(A!0, k3_waybel28(A!0)))))))),
% 0.82/0.77 inference(unit_resolution,[status(thm)],[391, 388])).
% 0.82/0.77 tff(393,plain,
% 0.82/0.77 ((g1_pre_topc(u1_struct_0(k14_yellow_6(A!0, k3_waybel28(A!0))), u1_pre_topc(k14_yellow_6(A!0, k3_waybel28(A!0)))) = k14_yellow_6(A!0, k3_waybel28(A!0))) <=> (~((~(u1_struct_0(g1_pre_topc(u1_struct_0(k14_yellow_6(A!0, k3_waybel28(A!0))), u1_pre_topc(k14_yellow_6(A!0, k3_waybel28(A!0))))) = u1_struct_0(A!0))) | (~(u1_pre_topc(g1_pre_topc(u1_struct_0(k14_yellow_6(A!0, k3_waybel28(A!0))), u1_pre_topc(k14_yellow_6(A!0, k3_waybel28(A!0))))) = a_2_1_yellow_6(A!0, k3_waybel28(A!0))))))),
% 0.82/0.77 inference(unit_resolution,[status(thm)],[392, 379, 376])).
% 0.82/0.77 tff(394,plain,
% 0.82/0.77 ((~((g1_pre_topc(u1_struct_0(k14_yellow_6(A!0, k3_waybel28(A!0))), u1_pre_topc(k14_yellow_6(A!0, k3_waybel28(A!0)))) = k14_yellow_6(A!0, k3_waybel28(A!0))) <=> (~((~(u1_struct_0(g1_pre_topc(u1_struct_0(k14_yellow_6(A!0, k3_waybel28(A!0))), u1_pre_topc(k14_yellow_6(A!0, k3_waybel28(A!0))))) = u1_struct_0(A!0))) | (~(u1_pre_topc(g1_pre_topc(u1_struct_0(k14_yellow_6(A!0, k3_waybel28(A!0))), u1_pre_topc(k14_yellow_6(A!0, k3_waybel28(A!0))))) = a_2_1_yellow_6(A!0, k3_waybel28(A!0)))))))) | (~(g1_pre_topc(u1_struct_0(k14_yellow_6(A!0, k3_waybel28(A!0))), u1_pre_topc(k14_yellow_6(A!0, k3_waybel28(A!0)))) = k14_yellow_6(A!0, k3_waybel28(A!0)))) | (~((~(u1_struct_0(g1_pre_topc(u1_struct_0(k14_yellow_6(A!0, k3_waybel28(A!0))), u1_pre_topc(k14_yellow_6(A!0, k3_waybel28(A!0))))) = u1_struct_0(A!0))) | (~(u1_pre_topc(g1_pre_topc(u1_struct_0(k14_yellow_6(A!0, k3_waybel28(A!0))), u1_pre_topc(k14_yellow_6(A!0, k3_waybel28(A!0))))) = a_2_1_yellow_6(A!0, k3_waybel28(A!0))))))),
% 0.82/0.77 inference(tautology,[status(thm)],[])).
% 0.82/0.77 tff(395,plain,
% 0.82/0.77 ((~((g1_pre_topc(u1_struct_0(k14_yellow_6(A!0, k3_waybel28(A!0))), u1_pre_topc(k14_yellow_6(A!0, k3_waybel28(A!0)))) = k14_yellow_6(A!0, k3_waybel28(A!0))) <=> (~((~(u1_struct_0(g1_pre_topc(u1_struct_0(k14_yellow_6(A!0, k3_waybel28(A!0))), u1_pre_topc(k14_yellow_6(A!0, k3_waybel28(A!0))))) = u1_struct_0(A!0))) | (~(u1_pre_topc(g1_pre_topc(u1_struct_0(k14_yellow_6(A!0, k3_waybel28(A!0))), u1_pre_topc(k14_yellow_6(A!0, k3_waybel28(A!0))))) = a_2_1_yellow_6(A!0, k3_waybel28(A!0)))))))) | (~((~(u1_struct_0(g1_pre_topc(u1_struct_0(k14_yellow_6(A!0, k3_waybel28(A!0))), u1_pre_topc(k14_yellow_6(A!0, k3_waybel28(A!0))))) = u1_struct_0(A!0))) | (~(u1_pre_topc(g1_pre_topc(u1_struct_0(k14_yellow_6(A!0, k3_waybel28(A!0))), u1_pre_topc(k14_yellow_6(A!0, k3_waybel28(A!0))))) = a_2_1_yellow_6(A!0, k3_waybel28(A!0))))))),
% 0.82/0.77 inference(unit_resolution,[status(thm)],[394, 373])).
% 0.82/0.77 tff(396,plain,
% 0.82/0.77 (~((~(u1_struct_0(g1_pre_topc(u1_struct_0(k14_yellow_6(A!0, k3_waybel28(A!0))), u1_pre_topc(k14_yellow_6(A!0, k3_waybel28(A!0))))) = u1_struct_0(A!0))) | (~(u1_pre_topc(g1_pre_topc(u1_struct_0(k14_yellow_6(A!0, k3_waybel28(A!0))), u1_pre_topc(k14_yellow_6(A!0, k3_waybel28(A!0))))) = a_2_1_yellow_6(A!0, k3_waybel28(A!0)))))),
% 0.82/0.77 inference(unit_resolution,[status(thm)],[395, 393])).
% 0.82/0.77 tff(397,plain,
% 0.82/0.77 (((~(u1_struct_0(g1_pre_topc(u1_struct_0(k14_yellow_6(A!0, k3_waybel28(A!0))), u1_pre_topc(k14_yellow_6(A!0, k3_waybel28(A!0))))) = u1_struct_0(A!0))) | (~(u1_pre_topc(g1_pre_topc(u1_struct_0(k14_yellow_6(A!0, k3_waybel28(A!0))), u1_pre_topc(k14_yellow_6(A!0, k3_waybel28(A!0))))) = a_2_1_yellow_6(A!0, k3_waybel28(A!0))))) | (u1_struct_0(g1_pre_topc(u1_struct_0(k14_yellow_6(A!0, k3_waybel28(A!0))), u1_pre_topc(k14_yellow_6(A!0, k3_waybel28(A!0))))) = u1_struct_0(A!0))),
% 0.82/0.78 inference(tautology,[status(thm)],[])).
% 0.82/0.78 tff(398,plain,
% 0.82/0.78 (u1_struct_0(g1_pre_topc(u1_struct_0(k14_yellow_6(A!0, k3_waybel28(A!0))), u1_pre_topc(k14_yellow_6(A!0, k3_waybel28(A!0))))) = u1_struct_0(A!0)),
% 0.82/0.78 inference(unit_resolution,[status(thm)],[397, 396])).
% 0.82/0.78 tff(399,plain,
% 0.82/0.78 (u1_struct_0(k14_yellow_6(A!0, k3_waybel28(A!0))) = u1_struct_0(g1_pre_topc(u1_struct_0(k14_yellow_6(A!0, k3_waybel28(A!0))), u1_pre_topc(k14_yellow_6(A!0, k3_waybel28(A!0)))))),
% 0.82/0.78 inference(monotonicity,[status(thm)],[372])).
% 0.82/0.78 tff(400,plain,
% 0.82/0.78 (u1_struct_0(k14_yellow_6(A!0, k3_waybel28(A!0))) = u1_struct_0(k14_yellow_6(B!1, k3_waybel28(B!1)))),
% 0.82/0.78 inference(transitivity,[status(thm)],[399, 398, 323, 269, 227])).
% 0.82/0.78 tff(401,plain,
% 0.82/0.78 (g1_pre_topc(u1_struct_0(k14_yellow_6(A!0, k3_waybel28(A!0))), u1_pre_topc(k14_yellow_6(A!0, k3_waybel28(A!0)))) = g1_pre_topc(u1_struct_0(k14_yellow_6(B!1, k3_waybel28(B!1))), u1_pre_topc(k14_yellow_6(B!1, k3_waybel28(B!1))))),
% 0.82/0.78 inference(monotonicity,[status(thm)],[400, 225])).
% 0.82/0.78 tff(402,plain,
% 0.82/0.78 (k14_yellow_6(A!0, k3_waybel28(A!0)) = k14_yellow_6(B!1, k3_waybel28(B!1))),
% 0.82/0.78 inference(transitivity,[status(thm)],[372, 401, 139])).
% 0.82/0.78 tff(403,plain,
% 0.82/0.78 (~(k14_yellow_6(A!0, k3_waybel28(A!0)) = k14_yellow_6(B!1, k3_waybel28(B!1)))),
% 0.82/0.78 inference(or_elim,[status(thm)],[27])).
% 0.82/0.78 tff(404,plain,
% 0.82/0.78 ($false),
% 0.82/0.78 inference(unit_resolution,[status(thm)],[403, 402])).
% 0.82/0.78 % SZS output end Proof
%------------------------------------------------------------------------------