%------------------------------------------------------------------------------
% File : Z3---4.15.1
% Problem : TOP047+1 : TPTP v9.0.0. Released v3.4.0.
% Transfm : none
% Format : tptp
% Command : run_E %s %d THM
% Computer : n002.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Sat Jun 21 05:42:44 AM UTC 2025
% Result : Theorem 0.72s 0.88s
% Output : Proof 0.77s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.13 % Problem : TOP047+1 : TPTP v9.0.0. Released v3.4.0.
% 0.06/0.13 % Command : run_E %s %d THM
% 0.12/0.34 % Computer : n002.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 : Fri Jun 20 14:06:46 EDT 2025
% 0.12/0.34 % CPUTime :
% 0.72/0.88 % SZS status Theorem
% 0.72/0.88 % SZS output start Proof
% 0.72/0.88 tff(k14_yellow_6_type, type, (
% 0.72/0.88 k14_yellow_6: ( $i * $i ) > $i)).
% 0.72/0.88 tff(k3_waybel28_type, type, (
% 0.72/0.88 k3_waybel28: $i > $i)).
% 0.72/0.88 tff(tptp_fun_B_1_type, type, (
% 0.72/0.88 tptp_fun_B_1: $i)).
% 0.72/0.88 tff(tptp_fun_A_0_type, type, (
% 0.72/0.88 tptp_fun_A_0: $i)).
% 0.72/0.88 tff(g1_pre_topc_type, type, (
% 0.72/0.88 g1_pre_topc: ( $i * $i ) > $i)).
% 0.72/0.88 tff(u1_pre_topc_type, type, (
% 0.72/0.88 u1_pre_topc: $i > $i)).
% 0.72/0.88 tff(u1_struct_0_type, type, (
% 0.72/0.88 u1_struct_0: $i > $i)).
% 0.72/0.88 tff(l1_pre_topc_type, type, (
% 0.72/0.88 l1_pre_topc: $i > $o)).
% 0.72/0.88 tff(v1_pre_topc_type, type, (
% 0.72/0.88 v1_pre_topc: $i > $o)).
% 0.72/0.88 tff(m4_yellow_6_type, type, (
% 0.72/0.88 m4_yellow_6: ( $i * $i ) > $o)).
% 0.72/0.88 tff(v3_struct_0_type, type, (
% 0.72/0.88 v3_struct_0: $i > $o)).
% 0.72/0.88 tff(v2_lattice3_type, type, (
% 0.72/0.88 v2_lattice3: $i > $o)).
% 0.72/0.88 tff(l1_orders_2_type, type, (
% 0.72/0.88 l1_orders_2: $i > $o)).
% 0.72/0.88 tff(v25_waybel_0_type, type, (
% 0.72/0.88 v25_waybel_0: $i > $o)).
% 0.72/0.88 tff(v24_waybel_0_type, type, (
% 0.72/0.88 v24_waybel_0: $i > $o)).
% 0.72/0.88 tff(v4_orders_2_type, type, (
% 0.72/0.88 v4_orders_2: $i > $o)).
% 0.72/0.88 tff(v3_orders_2_type, type, (
% 0.72/0.88 v3_orders_2: $i > $o)).
% 0.72/0.88 tff(v2_orders_2_type, type, (
% 0.72/0.88 v2_orders_2: $i > $o)).
% 0.72/0.88 tff(g1_orders_2_type, type, (
% 0.72/0.88 g1_orders_2: ( $i * $i ) > $i)).
% 0.72/0.88 tff(u1_orders_2_type, type, (
% 0.72/0.88 u1_orders_2: $i > $i)).
% 0.72/0.88 tff(l1_struct_0_type, type, (
% 0.72/0.88 l1_struct_0: $i > $o)).
% 0.72/0.88 tff(v2_pre_topc_type, type, (
% 0.72/0.88 v2_pre_topc: $i > $o)).
% 0.72/0.88 tff(r1_tarski_type, type, (
% 0.72/0.88 r1_tarski: ( $i * $i ) > $o)).
% 0.72/0.88 tff(a_2_1_yellow_6_type, type, (
% 0.72/0.88 a_2_1_yellow_6: ( $i * $i ) > $i)).
% 0.72/0.88 tff(m1_relset_1_type, type, (
% 0.72/0.88 m1_relset_1: ( $i * $i * $i ) > $o)).
% 0.72/0.88 tff(m2_relset_1_type, type, (
% 0.72/0.88 m2_relset_1: ( $i * $i * $i ) > $o)).
% 0.72/0.88 tff(1,plain,
% 0.72/0.88 (^[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))))),
% 0.72/0.88 inference(bind,[status(th)],[])).
% 0.72/0.88 tff(2,plain,
% 0.72/0.88 (![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)))),
% 0.72/0.88 inference(quant_intro,[status(thm)],[1])).
% 0.72/0.88 tff(3,plain,
% 0.72/0.88 (![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)))),
% 0.72/0.88 inference(rewrite,[status(thm)],[])).
% 0.72/0.88 tff(4,plain,
% 0.72/0.88 (^[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)))))),
% 0.72/0.88 inference(bind,[status(th)],[])).
% 0.72/0.88 tff(5,plain,
% 0.72/0.88 (![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)))),
% 0.72/0.88 inference(quant_intro,[status(thm)],[4])).
% 0.72/0.88 tff(6,axiom,(![A: $i] : (l1_orders_2(A) => (v2_lattice3(A) => (~v3_struct_0(A))))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','cc2_lattice3')).
% 0.72/0.88 tff(7,plain,
% 0.72/0.88 (![A: $i] : ((~v3_struct_0(A)) | (~l1_orders_2(A)) | (~v2_lattice3(A)))),
% 0.72/0.88 inference(modus_ponens,[status(thm)],[6, 5])).
% 0.72/0.88 tff(8,plain,
% 0.72/0.88 (![A: $i] : ((~v3_struct_0(A)) | (~l1_orders_2(A)) | (~v2_lattice3(A)))),
% 0.72/0.88 inference(modus_ponens,[status(thm)],[7, 3])).
% 0.72/0.88 tff(9,plain,(
% 0.72/0.88 ![A: $i] : ((~v3_struct_0(A)) | (~l1_orders_2(A)) | (~v2_lattice3(A)))),
% 0.72/0.88 inference(skolemize,[status(sab)],[8])).
% 0.72/0.88 tff(10,plain,
% 0.72/0.88 (![A: $i] : ((~v3_struct_0(A)) | (~l1_orders_2(A)) | (~v2_lattice3(A)))),
% 0.72/0.88 inference(modus_ponens,[status(thm)],[9, 2])).
% 0.72/0.88 tff(11,plain,
% 0.72/0.88 (((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))))))),
% 0.72/0.88 inference(rewrite,[status(thm)],[])).
% 0.72/0.88 tff(12,plain,
% 0.72/0.88 ((~((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)))))),
% 0.72/0.88 inference(rewrite,[status(thm)],[])).
% 0.72/0.88 tff(13,plain,
% 0.72/0.88 (((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))))))),
% 0.72/0.88 inference(monotonicity,[status(thm)],[12])).
% 0.72/0.88 tff(14,plain,
% 0.72/0.88 (((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))))))),
% 0.72/0.88 inference(transitivity,[status(thm)],[13, 11])).
% 0.72/0.88 tff(15,plain,
% 0.72/0.88 ((~![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))))))),
% 0.72/0.88 inference(rewrite,[status(thm)],[])).
% 0.72/0.88 tff(16,plain,
% 0.72/0.88 ((~![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))))))),
% 0.72/0.88 inference(rewrite,[status(thm)],[])).
% 0.72/0.88 tff(17,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/sandbox/benchmark/theBenchmark.p','t8_waybel33')).
% 0.72/0.88 tff(18,plain,
% 0.72/0.88 (~![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)))))),
% 0.72/0.88 inference(modus_ponens,[status(thm)],[17, 16])).
% 0.72/0.88 tff(19,plain,
% 0.72/0.88 (~![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)))))),
% 0.72/0.88 inference(modus_ponens,[status(thm)],[18, 15])).
% 0.72/0.88 tff(20,plain,
% 0.72/0.88 (~![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)))))),
% 0.72/0.88 inference(modus_ponens,[status(thm)],[19, 15])).
% 0.72/0.88 tff(21,plain,
% 0.72/0.88 (~![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)))))),
% 0.72/0.88 inference(modus_ponens,[status(thm)],[20, 15])).
% 0.72/0.88 tff(22,plain,
% 0.72/0.88 (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)))))),
% 0.72/0.88 inference(modus_ponens,[status(thm)],[21, 14])).
% 0.72/0.88 tff(23,plain,
% 0.72/0.88 (~((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))))),
% 0.72/0.88 inference(and_elim,[status(thm)],[22])).
% 0.72/0.88 tff(24,plain,
% 0.72/0.88 (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)),
% 0.72/0.88 inference(or_elim,[status(thm)],[23])).
% 0.72/0.88 tff(25,plain,
% 0.72/0.88 (l1_orders_2(B!1)),
% 0.72/0.88 inference(and_elim,[status(thm)],[24])).
% 0.72/0.88 tff(26,plain,
% 0.72/0.88 (v2_lattice3(B!1)),
% 0.72/0.88 inference(and_elim,[status(thm)],[24])).
% 0.72/0.88 tff(27,plain,
% 0.72/0.88 (((~![A: $i] : ((~v3_struct_0(A)) | (~l1_orders_2(A)) | (~v2_lattice3(A)))) | ((~v2_lattice3(B!1)) | (~l1_orders_2(B!1)) | (~v3_struct_0(B!1)))) <=> ((~![A: $i] : ((~v3_struct_0(A)) | (~l1_orders_2(A)) | (~v2_lattice3(A)))) | (~v2_lattice3(B!1)) | (~l1_orders_2(B!1)) | (~v3_struct_0(B!1)))),
% 0.72/0.88 inference(rewrite,[status(thm)],[])).
% 0.72/0.88 tff(28,plain,
% 0.72/0.88 (((~v3_struct_0(B!1)) | (~l1_orders_2(B!1)) | (~v2_lattice3(B!1))) <=> ((~v2_lattice3(B!1)) | (~l1_orders_2(B!1)) | (~v3_struct_0(B!1)))),
% 0.72/0.88 inference(rewrite,[status(thm)],[])).
% 0.72/0.88 tff(29,plain,
% 0.72/0.88 (((~![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)))) | ((~v2_lattice3(B!1)) | (~l1_orders_2(B!1)) | (~v3_struct_0(B!1))))),
% 0.72/0.88 inference(monotonicity,[status(thm)],[28])).
% 0.72/0.88 tff(30,plain,
% 0.72/0.88 (((~![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)))) | (~v2_lattice3(B!1)) | (~l1_orders_2(B!1)) | (~v3_struct_0(B!1)))),
% 0.72/0.88 inference(transitivity,[status(thm)],[29, 27])).
% 0.72/0.88 tff(31,plain,
% 0.72/0.88 ((~![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)))),
% 0.72/0.88 inference(quant_inst,[status(thm)],[])).
% 0.72/0.88 tff(32,plain,
% 0.72/0.88 ((~![A: $i] : ((~v3_struct_0(A)) | (~l1_orders_2(A)) | (~v2_lattice3(A)))) | (~v2_lattice3(B!1)) | (~l1_orders_2(B!1)) | (~v3_struct_0(B!1))),
% 0.72/0.88 inference(modus_ponens,[status(thm)],[31, 30])).
% 0.72/0.88 tff(33,plain,
% 0.72/0.88 (~v3_struct_0(B!1)),
% 0.72/0.88 inference(unit_resolution,[status(thm)],[32, 26, 25, 10])).
% 0.72/0.88 tff(34,plain,
% 0.72/0.88 (^[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))))),
% 0.72/0.88 inference(bind,[status(th)],[])).
% 0.72/0.88 tff(35,plain,
% 0.72/0.88 (![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)))),
% 0.72/0.88 inference(quant_intro,[status(thm)],[34])).
% 0.72/0.88 tff(36,plain,
% 0.72/0.88 (^[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)))))),
% 0.72/0.88 inference(bind,[status(th)],[])).
% 0.72/0.88 tff(37,plain,
% 0.72/0.88 (![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)))),
% 0.72/0.88 inference(quant_intro,[status(thm)],[36])).
% 0.72/0.88 tff(38,plain,
% 0.72/0.88 (![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))),
% 0.72/0.88 inference(rewrite,[status(thm)],[])).
% 0.72/0.88 tff(39,plain,
% 0.72/0.88 (^[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)))),
% 0.72/0.88 inference(bind,[status(th)],[])).
% 0.72/0.88 tff(40,plain,
% 0.72/0.88 (![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))),
% 0.72/0.88 inference(quant_intro,[status(thm)],[39])).
% 0.72/0.88 tff(41,axiom,(![A: $i] : (((~v3_struct_0(A)) & l1_orders_2(A)) => m4_yellow_6(k3_waybel28(A), A))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','dt_k3_waybel28')).
% 0.72/0.88 tff(42,plain,
% 0.72/0.88 (![A: $i] : ((~((~v3_struct_0(A)) & l1_orders_2(A))) | m4_yellow_6(k3_waybel28(A), A))),
% 0.72/0.88 inference(modus_ponens,[status(thm)],[41, 40])).
% 0.72/0.88 tff(43,plain,
% 0.72/0.88 (![A: $i] : ((~((~v3_struct_0(A)) & l1_orders_2(A))) | m4_yellow_6(k3_waybel28(A), A))),
% 0.72/0.88 inference(modus_ponens,[status(thm)],[42, 38])).
% 0.72/0.88 tff(44,plain,(
% 0.72/0.88 ![A: $i] : ((~((~v3_struct_0(A)) & l1_orders_2(A))) | m4_yellow_6(k3_waybel28(A), A))),
% 0.72/0.88 inference(skolemize,[status(sab)],[43])).
% 0.72/0.88 tff(45,plain,
% 0.72/0.88 (![A: $i] : (v3_struct_0(A) | m4_yellow_6(k3_waybel28(A), A) | (~l1_orders_2(A)))),
% 0.72/0.88 inference(modus_ponens,[status(thm)],[44, 37])).
% 0.72/0.88 tff(46,plain,
% 0.72/0.88 (![A: $i] : (v3_struct_0(A) | m4_yellow_6(k3_waybel28(A), A) | (~l1_orders_2(A)))),
% 0.72/0.88 inference(modus_ponens,[status(thm)],[45, 35])).
% 0.72/0.88 tff(47,plain,
% 0.72/0.88 (((~![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))),
% 0.72/0.88 inference(rewrite,[status(thm)],[])).
% 0.72/0.88 tff(48,plain,
% 0.72/0.88 ((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))),
% 0.72/0.88 inference(rewrite,[status(thm)],[])).
% 0.72/0.88 tff(49,plain,
% 0.72/0.88 (((~![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)))),
% 0.72/0.88 inference(monotonicity,[status(thm)],[48])).
% 0.72/0.88 tff(50,plain,
% 0.72/0.88 (((~![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))),
% 0.72/0.88 inference(transitivity,[status(thm)],[49, 47])).
% 0.72/0.88 tff(51,plain,
% 0.72/0.88 ((~![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)))),
% 0.72/0.88 inference(quant_inst,[status(thm)],[])).
% 0.72/0.88 tff(52,plain,
% 0.72/0.88 ((~![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)),
% 0.72/0.88 inference(modus_ponens,[status(thm)],[51, 50])).
% 0.72/0.88 tff(53,plain,
% 0.72/0.88 (v3_struct_0(B!1) | m4_yellow_6(k3_waybel28(B!1), B!1)),
% 0.72/0.88 inference(unit_resolution,[status(thm)],[52, 25, 46])).
% 0.72/0.88 tff(54,plain,
% 0.72/0.88 (m4_yellow_6(k3_waybel28(B!1), B!1)),
% 0.72/0.89 inference(unit_resolution,[status(thm)],[53, 33])).
% 0.72/0.89 tff(55,plain,
% 0.72/0.89 (^[A: $i] : refl((l1_struct_0(A) | (~l1_orders_2(A))) <=> (l1_struct_0(A) | (~l1_orders_2(A))))),
% 0.72/0.89 inference(bind,[status(th)],[])).
% 0.72/0.89 tff(56,plain,
% 0.72/0.89 (![A: $i] : (l1_struct_0(A) | (~l1_orders_2(A))) <=> ![A: $i] : (l1_struct_0(A) | (~l1_orders_2(A)))),
% 0.72/0.89 inference(quant_intro,[status(thm)],[55])).
% 0.72/0.89 tff(57,plain,
% 0.72/0.89 (![A: $i] : (l1_struct_0(A) | (~l1_orders_2(A))) <=> ![A: $i] : (l1_struct_0(A) | (~l1_orders_2(A)))),
% 0.72/0.89 inference(rewrite,[status(thm)],[])).
% 0.72/0.89 tff(58,plain,
% 0.72/0.89 (^[A: $i] : rewrite((l1_orders_2(A) => l1_struct_0(A)) <=> (l1_struct_0(A) | (~l1_orders_2(A))))),
% 0.72/0.89 inference(bind,[status(th)],[])).
% 0.72/0.89 tff(59,plain,
% 0.72/0.89 (![A: $i] : (l1_orders_2(A) => l1_struct_0(A)) <=> ![A: $i] : (l1_struct_0(A) | (~l1_orders_2(A)))),
% 0.72/0.89 inference(quant_intro,[status(thm)],[58])).
% 0.72/0.89 tff(60,axiom,(![A: $i] : (l1_orders_2(A) => l1_struct_0(A))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','dt_l1_orders_2')).
% 0.72/0.89 tff(61,plain,
% 0.72/0.89 (![A: $i] : (l1_struct_0(A) | (~l1_orders_2(A)))),
% 0.72/0.89 inference(modus_ponens,[status(thm)],[60, 59])).
% 0.72/0.89 tff(62,plain,
% 0.72/0.89 (![A: $i] : (l1_struct_0(A) | (~l1_orders_2(A)))),
% 0.72/0.89 inference(modus_ponens,[status(thm)],[61, 57])).
% 0.72/0.89 tff(63,plain,(
% 0.72/0.89 ![A: $i] : (l1_struct_0(A) | (~l1_orders_2(A)))),
% 0.72/0.89 inference(skolemize,[status(sab)],[62])).
% 0.72/0.89 tff(64,plain,
% 0.72/0.89 (![A: $i] : (l1_struct_0(A) | (~l1_orders_2(A)))),
% 0.72/0.89 inference(modus_ponens,[status(thm)],[63, 56])).
% 0.72/0.89 tff(65,plain,
% 0.72/0.89 (((~![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)))),
% 0.72/0.89 inference(rewrite,[status(thm)],[])).
% 0.72/0.89 tff(66,plain,
% 0.72/0.89 ((~![A: $i] : (l1_struct_0(A) | (~l1_orders_2(A)))) | (l1_struct_0(B!1) | (~l1_orders_2(B!1)))),
% 0.72/0.89 inference(quant_inst,[status(thm)],[])).
% 0.72/0.89 tff(67,plain,
% 0.72/0.89 ((~![A: $i] : (l1_struct_0(A) | (~l1_orders_2(A)))) | l1_struct_0(B!1) | (~l1_orders_2(B!1))),
% 0.72/0.89 inference(modus_ponens,[status(thm)],[66, 65])).
% 0.72/0.89 tff(68,plain,
% 0.72/0.89 (l1_struct_0(B!1)),
% 0.72/0.89 inference(unit_resolution,[status(thm)],[67, 25, 64])).
% 0.72/0.89 tff(69,plain,
% 0.72/0.89 (^[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)))))))),
% 0.72/0.89 inference(bind,[status(th)],[])).
% 0.72/0.89 tff(70,plain,
% 0.72/0.89 (![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))))))),
% 0.72/0.89 inference(quant_intro,[status(thm)],[69])).
% 0.72/0.89 tff(71,plain,
% 0.72/0.89 (^[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))))))))),
% 0.72/0.89 inference(bind,[status(th)],[])).
% 0.72/0.89 tff(72,plain,
% 0.72/0.89 (![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))))))),
% 0.72/0.89 inference(quant_intro,[status(thm)],[71])).
% 0.72/0.89 tff(73,plain,
% 0.72/0.89 (![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))))),
% 0.72/0.89 inference(rewrite,[status(thm)],[])).
% 0.72/0.89 tff(74,plain,
% 0.72/0.89 (^[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))))))),
% 0.72/0.89 inference(bind,[status(th)],[])).
% 0.72/0.89 tff(75,plain,
% 0.72/0.89 (![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))))),
% 0.72/0.89 inference(quant_intro,[status(thm)],[74])).
% 0.72/0.89 tff(76,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/sandbox/benchmark/theBenchmark.p','dt_k14_yellow_6')).
% 0.72/0.89 tff(77,plain,
% 0.72/0.89 (![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))))),
% 0.72/0.89 inference(modus_ponens,[status(thm)],[76, 75])).
% 0.72/0.89 tff(78,plain,
% 0.72/0.89 (![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))))),
% 0.72/0.89 inference(modus_ponens,[status(thm)],[77, 73])).
% 0.72/0.89 tff(79,plain,(
% 0.72/0.89 ![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))))),
% 0.72/0.89 inference(skolemize,[status(sab)],[78])).
% 0.72/0.89 tff(80,plain,
% 0.72/0.89 (![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))))))),
% 0.72/0.89 inference(modus_ponens,[status(thm)],[79, 72])).
% 0.72/0.89 tff(81,plain,
% 0.72/0.89 (![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))))))),
% 0.72/0.89 inference(modus_ponens,[status(thm)],[80, 70])).
% 0.72/0.89 tff(82,plain,
% 0.72/0.89 (((~![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)))))))),
% 0.72/0.89 inference(rewrite,[status(thm)],[])).
% 0.72/0.89 tff(83,plain,
% 0.72/0.89 ((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)))))))),
% 0.72/0.89 inference(rewrite,[status(thm)],[])).
% 0.72/0.89 tff(84,plain,
% 0.72/0.89 ((~((~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))))))),
% 0.72/0.89 inference(rewrite,[status(thm)],[])).
% 0.72/0.89 tff(85,plain,
% 0.72/0.89 ((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)))))))),
% 0.72/0.89 inference(monotonicity,[status(thm)],[84])).
% 0.72/0.89 tff(86,plain,
% 0.72/0.89 ((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)))))))),
% 0.72/0.89 inference(transitivity,[status(thm)],[85, 83])).
% 0.72/0.89 tff(87,plain,
% 0.72/0.89 (((~![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))))))))),
% 0.72/0.89 inference(monotonicity,[status(thm)],[86])).
% 0.72/0.89 tff(88,plain,
% 0.72/0.89 (((~![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)))))))),
% 0.72/0.89 inference(transitivity,[status(thm)],[87, 82])).
% 0.72/0.89 tff(89,plain,
% 0.72/0.89 ((~![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)))))))),
% 0.72/0.89 inference(quant_inst,[status(thm)],[])).
% 0.72/0.89 tff(90,plain,
% 0.72/0.89 ((~![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))))))),
% 0.72/0.89 inference(modus_ponens,[status(thm)],[89, 88])).
% 0.72/0.89 tff(91,plain,
% 0.72/0.89 ((~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))))))),
% 0.72/0.89 inference(unit_resolution,[status(thm)],[90, 81, 33, 68])).
% 0.72/0.89 tff(92,plain,
% 0.72/0.89 (~((~v1_pre_topc(k14_yellow_6(B!1, k3_waybel28(B!1)))) | (~l1_pre_topc(k14_yellow_6(B!1, k3_waybel28(B!1)))))),
% 0.72/0.89 inference(unit_resolution,[status(thm)],[91, 54])).
% 0.72/0.89 tff(93,plain,
% 0.72/0.89 (((~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)))),
% 0.72/0.89 inference(tautology,[status(thm)],[])).
% 0.72/0.89 tff(94,plain,
% 0.72/0.89 (l1_pre_topc(k14_yellow_6(B!1, k3_waybel28(B!1)))),
% 0.72/0.89 inference(unit_resolution,[status(thm)],[93, 92])).
% 0.72/0.89 tff(95,plain,
% 0.72/0.89 (^[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)))))))),
% 0.72/0.89 inference(bind,[status(th)],[])).
% 0.72/0.89 tff(96,plain,
% 0.72/0.89 (![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))))))),
% 0.72/0.89 inference(quant_intro,[status(thm)],[95])).
% 0.72/0.89 tff(97,plain,
% 0.72/0.89 (^[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))))))))),
% 0.72/0.89 inference(bind,[status(th)],[])).
% 0.72/0.89 tff(98,plain,
% 0.72/0.89 (![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))))))),
% 0.72/0.89 inference(quant_intro,[status(thm)],[97])).
% 0.72/0.89 tff(99,plain,
% 0.72/0.89 (![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))))),
% 0.72/0.89 inference(rewrite,[status(thm)],[])).
% 0.72/0.89 tff(100,plain,
% 0.72/0.89 (^[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))))))),
% 0.72/0.89 inference(bind,[status(th)],[])).
% 0.72/0.89 tff(101,plain,
% 0.72/0.89 (![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))))),
% 0.72/0.89 inference(quant_intro,[status(thm)],[100])).
% 0.72/0.89 tff(102,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/sandbox/benchmark/theBenchmark.p','fc25_yellow_6')).
% 0.72/0.89 tff(103,plain,
% 0.72/0.89 (![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))))),
% 0.72/0.89 inference(modus_ponens,[status(thm)],[102, 101])).
% 0.72/0.89 tff(104,plain,
% 0.72/0.89 (![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))))),
% 0.72/0.89 inference(modus_ponens,[status(thm)],[103, 99])).
% 0.72/0.89 tff(105,plain,(
% 0.72/0.89 ![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))))),
% 0.72/0.89 inference(skolemize,[status(sab)],[104])).
% 0.72/0.89 tff(106,plain,
% 0.72/0.89 (![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))))))),
% 0.72/0.89 inference(modus_ponens,[status(thm)],[105, 98])).
% 0.72/0.89 tff(107,plain,
% 0.72/0.89 (![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))))))),
% 0.72/0.89 inference(modus_ponens,[status(thm)],[106, 96])).
% 0.72/0.89 tff(108,plain,
% 0.72/0.89 (((~![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)))))))),
% 0.72/0.89 inference(rewrite,[status(thm)],[])).
% 0.72/0.89 tff(109,plain,
% 0.72/0.89 ((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)))))))),
% 0.72/0.89 inference(rewrite,[status(thm)],[])).
% 0.72/0.89 tff(110,plain,
% 0.72/0.89 (((~![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))))))))),
% 0.72/0.89 inference(monotonicity,[status(thm)],[109])).
% 0.72/0.89 tff(111,plain,
% 0.72/0.89 (((~![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)))))))),
% 0.72/0.89 inference(transitivity,[status(thm)],[110, 108])).
% 0.72/0.89 tff(112,plain,
% 0.72/0.89 ((~![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)))))))),
% 0.72/0.89 inference(quant_inst,[status(thm)],[])).
% 0.72/0.89 tff(113,plain,
% 0.72/0.89 ((~![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))))))),
% 0.72/0.89 inference(modus_ponens,[status(thm)],[112, 111])).
% 0.72/0.89 tff(114,plain,
% 0.72/0.89 ((~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))))))),
% 0.72/0.89 inference(unit_resolution,[status(thm)],[113, 107, 33, 68])).
% 0.72/0.89 tff(115,plain,
% 0.72/0.89 (~(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)))))),
% 0.72/0.89 inference(unit_resolution,[status(thm)],[114, 54])).
% 0.72/0.89 tff(116,plain,
% 0.72/0.89 ((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)))),
% 0.72/0.89 inference(tautology,[status(thm)],[])).
% 0.72/0.89 tff(117,plain,
% 0.72/0.89 (v1_pre_topc(k14_yellow_6(B!1, k3_waybel28(B!1)))),
% 0.72/0.89 inference(unit_resolution,[status(thm)],[116, 115])).
% 0.72/0.89 tff(118,plain,
% 0.72/0.89 (^[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))))),
% 0.72/0.89 inference(bind,[status(th)],[])).
% 0.72/0.89 tff(119,plain,
% 0.72/0.89 (![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)))),
% 0.72/0.89 inference(quant_intro,[status(thm)],[118])).
% 0.72/0.89 tff(120,plain,
% 0.72/0.89 (![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)))),
% 0.72/0.89 inference(rewrite,[status(thm)],[])).
% 0.72/0.89 tff(121,plain,
% 0.72/0.89 (^[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)))))),
% 0.72/0.89 inference(bind,[status(th)],[])).
% 0.72/0.89 tff(122,plain,
% 0.72/0.89 (![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)))),
% 0.72/0.89 inference(quant_intro,[status(thm)],[121])).
% 0.72/0.89 tff(123,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/sandbox/benchmark/theBenchmark.p','abstractness_v1_pre_topc')).
% 0.72/0.89 tff(124,plain,
% 0.72/0.89 (![A: $i] : ((A = g1_pre_topc(u1_struct_0(A), u1_pre_topc(A))) | (~v1_pre_topc(A)) | (~l1_pre_topc(A)))),
% 0.72/0.89 inference(modus_ponens,[status(thm)],[123, 122])).
% 0.72/0.89 tff(125,plain,
% 0.72/0.89 (![A: $i] : ((A = g1_pre_topc(u1_struct_0(A), u1_pre_topc(A))) | (~v1_pre_topc(A)) | (~l1_pre_topc(A)))),
% 0.72/0.89 inference(modus_ponens,[status(thm)],[124, 120])).
% 0.72/0.89 tff(126,plain,(
% 0.72/0.89 ![A: $i] : ((A = g1_pre_topc(u1_struct_0(A), u1_pre_topc(A))) | (~v1_pre_topc(A)) | (~l1_pre_topc(A)))),
% 0.72/0.89 inference(skolemize,[status(sab)],[125])).
% 0.72/0.89 tff(127,plain,
% 0.72/0.89 (![A: $i] : ((A = g1_pre_topc(u1_struct_0(A), u1_pre_topc(A))) | (~v1_pre_topc(A)) | (~l1_pre_topc(A)))),
% 0.72/0.89 inference(modus_ponens,[status(thm)],[126, 119])).
% 0.72/0.89 tff(128,plain,
% 0.72/0.89 (((~![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))))))),
% 0.72/0.89 inference(rewrite,[status(thm)],[])).
% 0.72/0.89 tff(129,plain,
% 0.72/0.89 (((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))))))),
% 0.72/0.89 inference(rewrite,[status(thm)],[])).
% 0.72/0.89 tff(130,plain,
% 0.72/0.89 (((~![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)))))))),
% 0.72/0.89 inference(monotonicity,[status(thm)],[129])).
% 0.72/0.89 tff(131,plain,
% 0.72/0.89 (((~![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))))))),
% 0.72/0.89 inference(transitivity,[status(thm)],[130, 128])).
% 0.72/0.89 tff(132,plain,
% 0.72/0.89 ((~![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)))))),
% 0.72/0.89 inference(quant_inst,[status(thm)],[])).
% 0.72/0.89 tff(133,plain,
% 0.72/0.89 ((~![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)))))),
% 0.72/0.89 inference(modus_ponens,[status(thm)],[132, 131])).
% 0.72/0.89 tff(134,plain,
% 0.72/0.89 (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))))),
% 0.72/0.89 inference(unit_resolution,[status(thm)],[133, 127, 117, 94])).
% 0.72/0.89 tff(135,plain,
% 0.72/0.89 (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))),
% 0.72/0.89 inference(symmetry,[status(thm)],[134])).
% 0.72/0.89 tff(136,plain,
% 0.72/0.89 (^[A: $i, B: $i] : refl((~(((~r1_tarski(A, B)) | (~r1_tarski(B, A))) <=> (A = B))) <=> (~(((~r1_tarski(A, B)) | (~r1_tarski(B, A))) <=> (A = B))))),
% 0.72/0.89 inference(bind,[status(th)],[])).
% 0.72/0.89 tff(137,plain,
% 0.72/0.89 (![A: $i, B: $i] : (~(((~r1_tarski(A, B)) | (~r1_tarski(B, A))) <=> (A = B))) <=> ![A: $i, B: $i] : (~(((~r1_tarski(A, B)) | (~r1_tarski(B, A))) <=> (A = B)))),
% 0.72/0.89 inference(quant_intro,[status(thm)],[136])).
% 0.72/0.89 tff(138,plain,
% 0.72/0.89 (^[A: $i, B: $i] : trans(trans(monotonicity(rewrite((r1_tarski(A, B) & r1_tarski(B, A)) <=> (~((~r1_tarski(A, B)) | (~r1_tarski(B, A))))), (((A = B) <=> (r1_tarski(A, B) & r1_tarski(B, A))) <=> ((A = B) <=> (~((~r1_tarski(A, B)) | (~r1_tarski(B, A))))))), rewrite(((A = B) <=> (~((~r1_tarski(A, B)) | (~r1_tarski(B, A))))) <=> (~(((~r1_tarski(A, B)) | (~r1_tarski(B, A))) <=> (A = B)))), (((A = B) <=> (r1_tarski(A, B) & r1_tarski(B, A))) <=> (~(((~r1_tarski(A, B)) | (~r1_tarski(B, A))) <=> (A = B))))), rewrite((~(((~r1_tarski(A, B)) | (~r1_tarski(B, A))) <=> (A = B))) <=> (~(((~r1_tarski(A, B)) | (~r1_tarski(B, A))) <=> (A = B)))), (((A = B) <=> (r1_tarski(A, B) & r1_tarski(B, A))) <=> (~(((~r1_tarski(A, B)) | (~r1_tarski(B, A))) <=> (A = B)))))),
% 0.72/0.89 inference(bind,[status(th)],[])).
% 0.72/0.89 tff(139,plain,
% 0.72/0.89 (![A: $i, B: $i] : ((A = B) <=> (r1_tarski(A, B) & r1_tarski(B, A))) <=> ![A: $i, B: $i] : (~(((~r1_tarski(A, B)) | (~r1_tarski(B, A))) <=> (A = B)))),
% 0.72/0.89 inference(quant_intro,[status(thm)],[138])).
% 0.72/0.89 tff(140,plain,
% 0.72/0.89 (![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)))),
% 0.72/0.89 inference(rewrite,[status(thm)],[])).
% 0.72/0.89 tff(141,axiom,(![A: $i, B: $i] : ((A = B) <=> (r1_tarski(A, B) & r1_tarski(B, A)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','d10_xboole_0')).
% 0.72/0.89 tff(142,plain,
% 0.72/0.89 (![A: $i, B: $i] : ((A = B) <=> (r1_tarski(A, B) & r1_tarski(B, A)))),
% 0.72/0.89 inference(modus_ponens,[status(thm)],[141, 140])).
% 0.72/0.89 tff(143,plain,(
% 0.72/0.89 ![A: $i, B: $i] : ((A = B) <=> (r1_tarski(A, B) & r1_tarski(B, A)))),
% 0.72/0.89 inference(skolemize,[status(sab)],[142])).
% 0.72/0.89 tff(144,plain,
% 0.72/0.89 (![A: $i, B: $i] : (~(((~r1_tarski(A, B)) | (~r1_tarski(B, A))) <=> (A = B)))),
% 0.72/0.89 inference(modus_ponens,[status(thm)],[143, 139])).
% 0.72/0.89 tff(145,plain,
% 0.72/0.89 (![A: $i, B: $i] : (~(((~r1_tarski(A, B)) | (~r1_tarski(B, A))) <=> (A = B)))),
% 0.72/0.89 inference(modus_ponens,[status(thm)],[144, 137])).
% 0.72/0.89 tff(146,plain,
% 0.72/0.89 (((~![A: $i, B: $i] : (~(((~r1_tarski(A, B)) | (~r1_tarski(B, A))) <=> (A = B)))) | (~(((~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))))))) <=> ((~![A: $i, B: $i] : (~(((~r1_tarski(A, B)) | (~r1_tarski(B, A))) <=> (A = B)))) | (~(((~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)))))))),
% 0.72/0.89 inference(rewrite,[status(thm)],[])).
% 0.72/0.89 tff(147,plain,
% 0.72/0.89 ((~(((~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)))))) <=> (u1_pre_topc(k14_yellow_6(B!1, k3_waybel28(B!1))) = u1_pre_topc(k14_yellow_6(A!0, k3_waybel28(A!0))))))),
% 0.72/0.89 inference(rewrite,[status(thm)],[])).
% 0.72/0.89 tff(148,plain,
% 0.72/0.89 ((((~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)))))) <=> (u1_pre_topc(k14_yellow_6(B!1, k3_waybel28(B!1))) = u1_pre_topc(k14_yellow_6(A!0, k3_waybel28(A!0)))))),
% 0.72/0.89 inference(rewrite,[status(thm)],[])).
% 0.72/0.89 tff(149,plain,
% 0.72/0.89 ((~(((~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)))))) <=> (u1_pre_topc(k14_yellow_6(B!1, k3_waybel28(B!1))) = u1_pre_topc(k14_yellow_6(A!0, k3_waybel28(A!0))))))),
% 0.72/0.89 inference(monotonicity,[status(thm)],[148])).
% 0.72/0.89 tff(150,plain,
% 0.72/0.89 ((~(((~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)))))) <=> (u1_pre_topc(k14_yellow_6(B!1, k3_waybel28(B!1))) = u1_pre_topc(k14_yellow_6(A!0, k3_waybel28(A!0))))))),
% 0.72/0.89 inference(transitivity,[status(thm)],[149, 147])).
% 0.72/0.89 tff(151,plain,
% 0.72/0.89 (((~![A: $i, B: $i] : (~(((~r1_tarski(A, B)) | (~r1_tarski(B, A))) <=> (A = B)))) | (~(((~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))))))) <=> ((~![A: $i, B: $i] : (~(((~r1_tarski(A, B)) | (~r1_tarski(B, A))) <=> (A = B)))) | (~(((~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)))))))),
% 0.72/0.89 inference(monotonicity,[status(thm)],[150])).
% 0.72/0.89 tff(152,plain,
% 0.72/0.90 (((~![A: $i, B: $i] : (~(((~r1_tarski(A, B)) | (~r1_tarski(B, A))) <=> (A = B)))) | (~(((~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))))))) <=> ((~![A: $i, B: $i] : (~(((~r1_tarski(A, B)) | (~r1_tarski(B, A))) <=> (A = B)))) | (~(((~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)))))))),
% 0.72/0.90 inference(transitivity,[status(thm)],[151, 146])).
% 0.72/0.90 tff(153,plain,
% 0.72/0.90 ((~![A: $i, B: $i] : (~(((~r1_tarski(A, B)) | (~r1_tarski(B, A))) <=> (A = B)))) | (~(((~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))))))),
% 0.72/0.90 inference(quant_inst,[status(thm)],[])).
% 0.72/0.90 tff(154,plain,
% 0.72/0.90 ((~![A: $i, B: $i] : (~(((~r1_tarski(A, B)) | (~r1_tarski(B, A))) <=> (A = B)))) | (~(((~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))))))),
% 0.72/0.90 inference(modus_ponens,[status(thm)],[153, 152])).
% 0.72/0.90 tff(155,plain,
% 0.72/0.90 (~(((~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)))))),
% 0.72/0.90 inference(unit_resolution,[status(thm)],[154, 145])).
% 0.72/0.90 tff(156,plain,
% 0.72/0.90 (^[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)))))),
% 0.72/0.90 inference(bind,[status(th)],[])).
% 0.72/0.90 tff(157,plain,
% 0.72/0.90 (![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))))),
% 0.72/0.90 inference(quant_intro,[status(thm)],[156])).
% 0.72/0.90 tff(158,plain,
% 0.72/0.90 (^[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)))))),
% 0.72/0.90 inference(bind,[status(th)],[])).
% 0.72/0.90 tff(159,plain,
% 0.72/0.90 (![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))))),
% 0.72/0.90 inference(quant_intro,[status(thm)],[158])).
% 0.72/0.90 tff(160,plain,
% 0.72/0.90 (![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))))),
% 0.72/0.90 inference(transitivity,[status(thm)],[159, 157])).
% 0.72/0.90 tff(161,plain,
% 0.72/0.90 (^[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))))))),
% 0.72/0.90 inference(bind,[status(th)],[])).
% 0.72/0.90 tff(162,plain,
% 0.72/0.90 (![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))))),
% 0.72/0.90 inference(quant_intro,[status(thm)],[161])).
% 0.72/0.90 tff(163,plain,
% 0.72/0.90 (![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)))))),
% 0.72/0.90 inference(rewrite,[status(thm)],[])).
% 0.72/0.90 tff(164,plain,
% 0.72/0.90 (^[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)))))))),
% 0.72/0.90 inference(bind,[status(th)],[])).
% 0.72/0.90 tff(165,plain,
% 0.72/0.90 (![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)))))),
% 0.72/0.90 inference(quant_intro,[status(thm)],[164])).
% 0.72/0.90 tff(166,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/sandbox/benchmark/theBenchmark.p','l12_waybel33')).
% 0.72/0.90 tff(167,plain,
% 0.72/0.90 (![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)))))),
% 0.72/0.90 inference(modus_ponens,[status(thm)],[166, 165])).
% 0.72/0.90 tff(168,plain,
% 0.72/0.90 (![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)))))),
% 0.72/0.90 inference(modus_ponens,[status(thm)],[167, 163])).
% 0.72/0.90 tff(169,plain,(
% 0.72/0.90 ![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)))))),
% 0.72/0.90 inference(skolemize,[status(sab)],[168])).
% 0.72/0.90 tff(170,plain,
% 0.72/0.90 (![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))))),
% 0.72/0.90 inference(modus_ponens,[status(thm)],[169, 162])).
% 0.72/0.90 tff(171,plain,
% 0.72/0.90 (![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))))),
% 0.72/0.90 inference(modus_ponens,[status(thm)],[170, 160])).
% 0.72/0.90 tff(172,plain,
% 0.72/0.90 (l1_orders_2(A!0)),
% 0.72/0.90 inference(and_elim,[status(thm)],[22])).
% 0.72/0.90 tff(173,plain,
% 0.72/0.90 (v2_lattice3(A!0)),
% 0.72/0.90 inference(and_elim,[status(thm)],[22])).
% 0.72/0.90 tff(174,plain,
% 0.72/0.90 (v25_waybel_0(A!0)),
% 0.72/0.90 inference(and_elim,[status(thm)],[22])).
% 0.72/0.90 tff(175,plain,
% 0.72/0.90 (v24_waybel_0(A!0)),
% 0.72/0.90 inference(and_elim,[status(thm)],[22])).
% 0.72/0.90 tff(176,plain,
% 0.72/0.90 (v4_orders_2(A!0)),
% 0.72/0.90 inference(and_elim,[status(thm)],[22])).
% 0.72/0.90 tff(177,plain,
% 0.72/0.90 (v3_orders_2(A!0)),
% 0.72/0.90 inference(and_elim,[status(thm)],[22])).
% 0.72/0.90 tff(178,plain,
% 0.72/0.90 (v2_orders_2(A!0)),
% 0.72/0.90 inference(and_elim,[status(thm)],[22])).
% 0.72/0.90 tff(179,plain,
% 0.72/0.90 (((~![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))))) | ((~v24_waybel_0(A!0)) | (~v3_orders_2(A!0)) | (~v4_orders_2(A!0)) | (~v25_waybel_0(A!0)) | (~v2_orders_2(A!0)) | (~v2_lattice3(A!0)) | (~l1_orders_2(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))))) | (~v24_waybel_0(A!0)) | (~v3_orders_2(A!0)) | (~v4_orders_2(A!0)) | (~v25_waybel_0(A!0)) | (~v2_orders_2(A!0)) | (~v2_lattice3(A!0)) | (~l1_orders_2(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))))))),
% 0.72/0.90 inference(rewrite,[status(thm)],[])).
% 0.72/0.90 tff(180,plain,
% 0.72/0.90 (((~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)))))) <=> ((~v24_waybel_0(A!0)) | (~v3_orders_2(A!0)) | (~v4_orders_2(A!0)) | (~v25_waybel_0(A!0)) | (~v2_orders_2(A!0)) | (~v2_lattice3(A!0)) | (~l1_orders_2(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))))))),
% 0.72/0.90 inference(rewrite,[status(thm)],[])).
% 0.72/0.90 tff(181,plain,
% 0.72/0.90 (^[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))))))),
% 0.72/0.90 inference(bind,[status(th)],[])).
% 0.72/0.90 tff(182,plain,
% 0.72/0.90 (![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)))))),
% 0.72/0.90 inference(quant_intro,[status(thm)],[181])).
% 0.72/0.90 tff(183,plain,
% 0.72/0.90 (((~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))))))),
% 0.72/0.90 inference(monotonicity,[status(thm)],[182])).
% 0.72/0.90 tff(184,plain,
% 0.72/0.90 (((~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)))) <=> ((~v24_waybel_0(A!0)) | (~v3_orders_2(A!0)) | (~v4_orders_2(A!0)) | (~v25_waybel_0(A!0)) | (~v2_orders_2(A!0)) | (~v2_lattice3(A!0)) | (~l1_orders_2(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))))))),
% 0.72/0.90 inference(transitivity,[status(thm)],[183, 180])).
% 0.72/0.90 tff(185,plain,
% 0.72/0.90 (((~![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))))) | ((~v24_waybel_0(A!0)) | (~v3_orders_2(A!0)) | (~v4_orders_2(A!0)) | (~v25_waybel_0(A!0)) | (~v2_orders_2(A!0)) | (~v2_lattice3(A!0)) | (~l1_orders_2(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)))))))),
% 0.72/0.90 inference(monotonicity,[status(thm)],[184])).
% 0.72/0.90 tff(186,plain,
% 0.72/0.90 (((~![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))))) | (~v24_waybel_0(A!0)) | (~v3_orders_2(A!0)) | (~v4_orders_2(A!0)) | (~v25_waybel_0(A!0)) | (~v2_orders_2(A!0)) | (~v2_lattice3(A!0)) | (~l1_orders_2(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))))))),
% 0.72/0.90 inference(transitivity,[status(thm)],[185, 179])).
% 0.72/0.90 tff(187,plain,
% 0.72/0.90 ((~![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))))),
% 0.72/0.90 inference(quant_inst,[status(thm)],[])).
% 0.72/0.90 tff(188,plain,
% 0.72/0.90 ((~![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))))) | (~v24_waybel_0(A!0)) | (~v3_orders_2(A!0)) | (~v4_orders_2(A!0)) | (~v25_waybel_0(A!0)) | (~v2_orders_2(A!0)) | (~v2_lattice3(A!0)) | (~l1_orders_2(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)))))),
% 0.72/0.90 inference(modus_ponens,[status(thm)],[187, 186])).
% 0.72/0.90 tff(189,plain,
% 0.72/0.90 (![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)))))),
% 0.72/0.90 inference(unit_resolution,[status(thm)],[188, 178, 177, 176, 175, 174, 173, 172, 171])).
% 0.72/0.90 tff(190,plain,
% 0.72/0.90 (v25_waybel_0(B!1)),
% 0.72/0.90 inference(and_elim,[status(thm)],[24])).
% 0.72/0.90 tff(191,plain,
% 0.72/0.90 (v24_waybel_0(B!1)),
% 0.72/0.90 inference(and_elim,[status(thm)],[24])).
% 0.72/0.90 tff(192,plain,
% 0.72/0.90 (v4_orders_2(B!1)),
% 0.72/0.90 inference(and_elim,[status(thm)],[24])).
% 0.72/0.90 tff(193,plain,
% 0.72/0.90 (v3_orders_2(B!1)),
% 0.72/0.90 inference(and_elim,[status(thm)],[24])).
% 0.72/0.90 tff(194,plain,
% 0.72/0.90 (v2_orders_2(B!1)),
% 0.72/0.90 inference(and_elim,[status(thm)],[24])).
% 0.72/0.90 tff(195,plain,
% 0.72/0.90 (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))),
% 0.72/0.90 inference(or_elim,[status(thm)],[23])).
% 0.72/0.90 tff(196,plain,
% 0.72/0.90 (((~![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)))) | (~v24_waybel_0(B!1)) | (~v3_orders_2(B!1)) | (~v4_orders_2(B!1)) | (~v25_waybel_0(B!1)) | (~v2_orders_2(B!1)) | (~v2_lattice3(B!1)) | (~l1_orders_2(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)))) | (~v24_waybel_0(B!1)) | (~v3_orders_2(B!1)) | (~v4_orders_2(B!1)) | (~v25_waybel_0(B!1)) | (~v2_orders_2(B!1)) | (~v2_lattice3(B!1)) | (~l1_orders_2(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)))))),
% 0.72/0.90 inference(rewrite,[status(thm)],[])).
% 0.72/0.90 tff(197,plain,
% 0.72/0.90 (((~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)))) | (~v24_waybel_0(B!1)) | (~v3_orders_2(B!1)) | (~v4_orders_2(B!1)) | (~v25_waybel_0(B!1)) | (~v2_orders_2(B!1)) | (~v2_lattice3(B!1)) | (~l1_orders_2(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)))))),
% 0.72/0.90 inference(rewrite,[status(thm)],[])).
% 0.72/0.90 tff(198,plain,
% 0.72/0.90 (((~![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)))) | (~v24_waybel_0(B!1)) | (~v3_orders_2(B!1)) | (~v4_orders_2(B!1)) | (~v25_waybel_0(B!1)) | (~v2_orders_2(B!1)) | (~v2_lattice3(B!1)) | (~l1_orders_2(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))))))),
% 0.72/0.90 inference(monotonicity,[status(thm)],[197])).
% 0.72/0.90 tff(199,plain,
% 0.72/0.90 (((~![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)))) | (~v24_waybel_0(B!1)) | (~v3_orders_2(B!1)) | (~v4_orders_2(B!1)) | (~v25_waybel_0(B!1)) | (~v2_orders_2(B!1)) | (~v2_lattice3(B!1)) | (~l1_orders_2(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)))))),
% 0.72/0.90 inference(transitivity,[status(thm)],[198, 196])).
% 0.72/0.90 tff(200,plain,
% 0.72/0.90 ((~![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)))))),
% 0.72/0.90 inference(quant_inst,[status(thm)],[])).
% 0.72/0.90 tff(201,plain,
% 0.72/0.90 ((~![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)))) | (~v24_waybel_0(B!1)) | (~v3_orders_2(B!1)) | (~v4_orders_2(B!1)) | (~v25_waybel_0(B!1)) | (~v2_orders_2(B!1)) | (~v2_lattice3(B!1)) | (~l1_orders_2(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))))),
% 0.72/0.90 inference(modus_ponens,[status(thm)],[200, 199])).
% 0.72/0.90 tff(202,plain,
% 0.72/0.90 (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))))),
% 0.72/0.90 inference(unit_resolution,[status(thm)],[201, 195, 194, 193, 192, 191, 190, 26, 25, 189])).
% 0.72/0.90 tff(203,plain,
% 0.72/0.90 (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))),
% 0.72/0.90 inference(symmetry,[status(thm)],[195])).
% 0.72/0.90 tff(204,plain,
% 0.72/0.90 (((~![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))))) | ((~v24_waybel_0(B!1)) | (~v3_orders_2(B!1)) | (~v4_orders_2(B!1)) | (~v25_waybel_0(B!1)) | (~v2_orders_2(B!1)) | (~v2_lattice3(B!1)) | (~l1_orders_2(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))))) | (~v24_waybel_0(B!1)) | (~v3_orders_2(B!1)) | (~v4_orders_2(B!1)) | (~v25_waybel_0(B!1)) | (~v2_orders_2(B!1)) | (~v2_lattice3(B!1)) | (~l1_orders_2(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))))))),
% 0.72/0.91 inference(rewrite,[status(thm)],[])).
% 0.72/0.91 tff(205,plain,
% 0.72/0.91 (((~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)))))) <=> ((~v24_waybel_0(B!1)) | (~v3_orders_2(B!1)) | (~v4_orders_2(B!1)) | (~v25_waybel_0(B!1)) | (~v2_orders_2(B!1)) | (~v2_lattice3(B!1)) | (~l1_orders_2(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))))))),
% 0.72/0.91 inference(rewrite,[status(thm)],[])).
% 0.72/0.91 tff(206,plain,
% 0.72/0.91 (^[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))))))),
% 0.72/0.91 inference(bind,[status(th)],[])).
% 0.72/0.91 tff(207,plain,
% 0.72/0.91 (![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)))))),
% 0.72/0.91 inference(quant_intro,[status(thm)],[206])).
% 0.72/0.91 tff(208,plain,
% 0.72/0.91 (((~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))))))),
% 0.72/0.91 inference(monotonicity,[status(thm)],[207])).
% 0.72/0.91 tff(209,plain,
% 0.72/0.91 (((~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)))) <=> ((~v24_waybel_0(B!1)) | (~v3_orders_2(B!1)) | (~v4_orders_2(B!1)) | (~v25_waybel_0(B!1)) | (~v2_orders_2(B!1)) | (~v2_lattice3(B!1)) | (~l1_orders_2(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))))))),
% 0.72/0.91 inference(transitivity,[status(thm)],[208, 205])).
% 0.72/0.91 tff(210,plain,
% 0.72/0.91 (((~![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))))) | ((~v24_waybel_0(B!1)) | (~v3_orders_2(B!1)) | (~v4_orders_2(B!1)) | (~v25_waybel_0(B!1)) | (~v2_orders_2(B!1)) | (~v2_lattice3(B!1)) | (~l1_orders_2(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)))))))),
% 0.72/0.91 inference(monotonicity,[status(thm)],[209])).
% 0.72/0.91 tff(211,plain,
% 0.72/0.91 (((~![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))))) | (~v24_waybel_0(B!1)) | (~v3_orders_2(B!1)) | (~v4_orders_2(B!1)) | (~v25_waybel_0(B!1)) | (~v2_orders_2(B!1)) | (~v2_lattice3(B!1)) | (~l1_orders_2(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))))))),
% 0.72/0.91 inference(transitivity,[status(thm)],[210, 204])).
% 0.72/0.91 tff(212,plain,
% 0.72/0.91 ((~![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))))),
% 0.72/0.91 inference(quant_inst,[status(thm)],[])).
% 0.72/0.91 tff(213,plain,
% 0.72/0.91 ((~![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))))) | (~v24_waybel_0(B!1)) | (~v3_orders_2(B!1)) | (~v4_orders_2(B!1)) | (~v25_waybel_0(B!1)) | (~v2_orders_2(B!1)) | (~v2_lattice3(B!1)) | (~l1_orders_2(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)))))),
% 0.72/0.91 inference(modus_ponens,[status(thm)],[212, 211])).
% 0.72/0.91 tff(214,plain,
% 0.72/0.91 (![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)))))),
% 0.72/0.91 inference(unit_resolution,[status(thm)],[213, 194, 193, 192, 191, 190, 26, 25, 171])).
% 0.72/0.91 tff(215,plain,
% 0.72/0.91 (((~![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)))))) | ((~v24_waybel_0(A!0)) | (~v3_orders_2(A!0)) | (~v4_orders_2(A!0)) | (~v25_waybel_0(A!0)) | (~v2_orders_2(A!0)) | (~v2_lattice3(A!0)) | (~l1_orders_2(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)))))) | (~v24_waybel_0(A!0)) | (~v3_orders_2(A!0)) | (~v4_orders_2(A!0)) | (~v25_waybel_0(A!0)) | (~v2_orders_2(A!0)) | (~v2_lattice3(A!0)) | (~l1_orders_2(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)))))),
% 0.72/0.91 inference(rewrite,[status(thm)],[])).
% 0.72/0.91 tff(216,plain,
% 0.72/0.91 (((~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))))) <=> ((~v24_waybel_0(A!0)) | (~v3_orders_2(A!0)) | (~v4_orders_2(A!0)) | (~v25_waybel_0(A!0)) | (~v2_orders_2(A!0)) | (~v2_lattice3(A!0)) | (~l1_orders_2(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)))))),
% 0.72/0.91 inference(rewrite,[status(thm)],[])).
% 0.72/0.91 tff(217,plain,
% 0.72/0.91 (((~![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)))))) | ((~v24_waybel_0(A!0)) | (~v3_orders_2(A!0)) | (~v4_orders_2(A!0)) | (~v25_waybel_0(A!0)) | (~v2_orders_2(A!0)) | (~v2_lattice3(A!0)) | (~l1_orders_2(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))))))),
% 0.72/0.91 inference(monotonicity,[status(thm)],[216])).
% 0.72/0.91 tff(218,plain,
% 0.72/0.91 (((~![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)))))) | (~v24_waybel_0(A!0)) | (~v3_orders_2(A!0)) | (~v4_orders_2(A!0)) | (~v25_waybel_0(A!0)) | (~v2_orders_2(A!0)) | (~v2_lattice3(A!0)) | (~l1_orders_2(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)))))),
% 0.72/0.91 inference(transitivity,[status(thm)],[217, 215])).
% 0.72/0.91 tff(219,plain,
% 0.72/0.91 ((~![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)))))),
% 0.72/0.91 inference(quant_inst,[status(thm)],[])).
% 0.72/0.91 tff(220,plain,
% 0.72/0.91 ((~![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)))))) | (~v24_waybel_0(A!0)) | (~v3_orders_2(A!0)) | (~v4_orders_2(A!0)) | (~v25_waybel_0(A!0)) | (~v2_orders_2(A!0)) | (~v2_lattice3(A!0)) | (~l1_orders_2(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))))),
% 0.72/0.91 inference(modus_ponens,[status(thm)],[219, 218])).
% 0.72/0.91 tff(221,plain,
% 0.72/0.91 (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))))),
% 0.72/0.91 inference(unit_resolution,[status(thm)],[220, 178, 177, 176, 175, 174, 173, 172, 214, 203])).
% 0.72/0.91 tff(222,plain,
% 0.72/0.91 ((~((~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)))))),
% 0.72/0.91 inference(tautology,[status(thm)],[])).
% 0.72/0.91 tff(223,plain,
% 0.72/0.91 (~((~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))))))),
% 0.72/0.91 inference(unit_resolution,[status(thm)],[222, 221, 202])).
% 0.72/0.91 tff(224,plain,
% 0.72/0.91 ((((~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)))))) | (u1_pre_topc(k14_yellow_6(B!1, k3_waybel28(B!1))) = u1_pre_topc(k14_yellow_6(A!0, k3_waybel28(A!0))))),
% 0.72/0.91 inference(tautology,[status(thm)],[])).
% 0.72/0.91 tff(225,plain,
% 0.72/0.91 ((((~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))))) | (u1_pre_topc(k14_yellow_6(B!1, k3_waybel28(B!1))) = u1_pre_topc(k14_yellow_6(A!0, k3_waybel28(A!0))))),
% 0.72/0.91 inference(unit_resolution,[status(thm)],[224, 223])).
% 0.72/0.91 tff(226,plain,
% 0.72/0.91 (u1_pre_topc(k14_yellow_6(B!1, k3_waybel28(B!1))) = u1_pre_topc(k14_yellow_6(A!0, k3_waybel28(A!0)))),
% 0.72/0.91 inference(unit_resolution,[status(thm)],[225, 155])).
% 0.72/0.91 tff(227,plain,
% 0.72/0.91 (u1_pre_topc(k14_yellow_6(A!0, k3_waybel28(A!0))) = u1_pre_topc(k14_yellow_6(B!1, k3_waybel28(B!1)))),
% 0.72/0.91 inference(symmetry,[status(thm)],[226])).
% 0.72/0.91 tff(228,plain,
% 0.72/0.91 (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)))))),
% 0.72/0.91 inference(monotonicity,[status(thm)],[134])).
% 0.72/0.91 tff(229,plain,
% 0.72/0.91 (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)))),
% 0.72/0.91 inference(symmetry,[status(thm)],[228])).
% 0.72/0.91 tff(230,plain,
% 0.72/0.91 (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)))),
% 0.72/0.91 inference(monotonicity,[status(thm)],[135])).
% 0.72/0.91 tff(231,plain,
% 0.72/0.91 (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)))))),
% 0.72/0.91 inference(symmetry,[status(thm)],[230])).
% 0.72/0.91 tff(232,plain,
% 0.72/0.91 (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)))))),
% 0.72/0.91 inference(modus_ponens,[status(thm)],[117, 231])).
% 0.72/0.91 tff(233,plain,
% 0.72/0.91 (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)))),
% 0.72/0.91 inference(monotonicity,[status(thm)],[135])).
% 0.75/0.91 tff(234,plain,
% 0.75/0.91 (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)))))),
% 0.75/0.91 inference(symmetry,[status(thm)],[233])).
% 0.75/0.91 tff(235,plain,
% 0.75/0.91 (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)))))),
% 0.75/0.91 inference(modus_ponens,[status(thm)],[94, 234])).
% 0.75/0.91 tff(236,plain,
% 0.75/0.91 (^[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)) | (~(((~(u1_struct_0(C) = u1_struct_0(A))) | (~(u1_pre_topc(C) = a_2_1_yellow_6(A, B)))) <=> (C = k14_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)) | (~(((~(u1_struct_0(C) = u1_struct_0(A))) | (~(u1_pre_topc(C) = a_2_1_yellow_6(A, B)))) <=> (C = k14_yellow_6(A, B))))))))),
% 0.75/0.91 inference(bind,[status(th)],[])).
% 0.75/0.91 tff(237,plain,
% 0.75/0.91 (![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)) | (~(((~(u1_struct_0(C) = u1_struct_0(A))) | (~(u1_pre_topc(C) = a_2_1_yellow_6(A, B)))) <=> (C = k14_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)) | (~(((~(u1_struct_0(C) = u1_struct_0(A))) | (~(u1_pre_topc(C) = a_2_1_yellow_6(A, B)))) <=> (C = k14_yellow_6(A, B)))))))),
% 0.75/0.91 inference(quant_intro,[status(thm)],[236])).
% 0.75/0.91 tff(238,plain,
% 0.75/0.91 (^[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)) | (~(((~(u1_struct_0(C) = u1_struct_0(A))) | (~(u1_pre_topc(C) = a_2_1_yellow_6(A, B)))) <=> (C = k14_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)) | (~(((~(u1_struct_0(C) = u1_struct_0(A))) | (~(u1_pre_topc(C) = a_2_1_yellow_6(A, B)))) <=> (C = k14_yellow_6(A, B))))))))),
% 0.75/0.91 inference(bind,[status(th)],[])).
% 0.75/0.91 tff(239,plain,
% 0.75/0.91 (![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)) | (~(((~(u1_struct_0(C) = u1_struct_0(A))) | (~(u1_pre_topc(C) = a_2_1_yellow_6(A, B)))) <=> (C = k14_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)) | (~(((~(u1_struct_0(C) = u1_struct_0(A))) | (~(u1_pre_topc(C) = a_2_1_yellow_6(A, B)))) <=> (C = k14_yellow_6(A, B)))))))),
% 0.75/0.91 inference(quant_intro,[status(thm)],[238])).
% 0.75/0.91 tff(240,plain,
% 0.75/0.91 (![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)) | (~(((~(u1_struct_0(C) = u1_struct_0(A))) | (~(u1_pre_topc(C) = a_2_1_yellow_6(A, B)))) <=> (C = k14_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)) | (~(((~(u1_struct_0(C) = u1_struct_0(A))) | (~(u1_pre_topc(C) = a_2_1_yellow_6(A, B)))) <=> (C = k14_yellow_6(A, B)))))))),
% 0.75/0.91 inference(transitivity,[status(thm)],[239, 237])).
% 0.75/0.91 tff(241,plain,
% 0.75/0.91 (^[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)) | (~(((~(u1_struct_0(C) = u1_struct_0(A))) | (~(u1_pre_topc(C) = a_2_1_yellow_6(A, B)))) <=> (C = k14_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)) | (~(((~(u1_struct_0(C) = u1_struct_0(A))) | (~(u1_pre_topc(C) = a_2_1_yellow_6(A, B)))) <=> (C = k14_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)) | (~(((~(u1_struct_0(C) = u1_struct_0(A))) | (~(u1_pre_topc(C) = a_2_1_yellow_6(A, B)))) <=> (C = k14_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)) | (~(((~(u1_struct_0(C) = u1_struct_0(A))) | (~(u1_pre_topc(C) = a_2_1_yellow_6(A, B)))) <=> (C = k14_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)) | (~(((~(u1_struct_0(C) = u1_struct_0(A))) | (~(u1_pre_topc(C) = a_2_1_yellow_6(A, B)))) <=> (C = k14_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)) | (~(((~(u1_struct_0(C) = u1_struct_0(A))) | (~(u1_pre_topc(C) = a_2_1_yellow_6(A, B)))) <=> (C = k14_yellow_6(A, B)))))))))),
% 0.75/0.91 inference(bind,[status(th)],[])).
% 0.75/0.91 tff(242,plain,
% 0.75/0.91 (![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)) | (~(((~(u1_struct_0(C) = u1_struct_0(A))) | (~(u1_pre_topc(C) = a_2_1_yellow_6(A, B)))) <=> (C = k14_yellow_6(A, B)))))))),
% 0.75/0.91 inference(quant_intro,[status(thm)],[241])).
% 0.75/0.91 tff(243,plain,
% 0.75/0.91 (![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)))))))),
% 0.75/0.91 inference(rewrite,[status(thm)],[])).
% 0.75/0.91 tff(244,plain,
% 0.75/0.91 (^[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)))))))))),
% 0.75/0.91 inference(bind,[status(th)],[])).
% 0.75/0.91 tff(245,plain,
% 0.75/0.91 (![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)))))))),
% 0.75/0.91 inference(quant_intro,[status(thm)],[244])).
% 0.75/0.91 tff(246,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/sandbox/benchmark/theBenchmark.p','d27_yellow_6')).
% 0.75/0.91 tff(247,plain,
% 0.75/0.91 (![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)))))))),
% 0.75/0.91 inference(modus_ponens,[status(thm)],[246, 245])).
% 0.75/0.91 tff(248,plain,
% 0.75/0.91 (![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)))))))),
% 0.75/0.91 inference(modus_ponens,[status(thm)],[247, 243])).
% 0.75/0.91 tff(249,plain,(
% 0.75/0.91 ![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)))))))),
% 0.75/0.91 inference(skolemize,[status(sab)],[248])).
% 0.75/0.91 tff(250,plain,
% 0.75/0.91 (![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)) | (~(((~(u1_struct_0(C) = u1_struct_0(A))) | (~(u1_pre_topc(C) = a_2_1_yellow_6(A, B)))) <=> (C = k14_yellow_6(A, B)))))))),
% 0.75/0.91 inference(modus_ponens,[status(thm)],[249, 242])).
% 0.75/0.91 tff(251,plain,
% 0.75/0.91 (![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)) | (~(((~(u1_struct_0(C) = u1_struct_0(A))) | (~(u1_pre_topc(C) = a_2_1_yellow_6(A, B)))) <=> (C = k14_yellow_6(A, B)))))))),
% 0.75/0.91 inference(modus_ponens,[status(thm)],[250, 240])).
% 0.75/0.91 tff(252,plain,
% 0.75/0.91 (((~![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)) | (~(((~(u1_struct_0(C) = u1_struct_0(A))) | (~(u1_pre_topc(C) = a_2_1_yellow_6(A, B)))) <=> (C = k14_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)) | (~(((~(u1_struct_0(C) = u1_struct_0(B!1))) | (~(u1_pre_topc(C) = a_2_1_yellow_6(B!1, B)))) <=> (C = k14_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)) | (~(((~(u1_struct_0(C) = u1_struct_0(A))) | (~(u1_pre_topc(C) = a_2_1_yellow_6(A, B)))) <=> (C = k14_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)) | (~(((~(u1_struct_0(C) = u1_struct_0(B!1))) | (~(u1_pre_topc(C) = a_2_1_yellow_6(B!1, B)))) <=> (C = k14_yellow_6(B!1, B)))))))),
% 0.75/0.91 inference(rewrite,[status(thm)],[])).
% 0.75/0.91 tff(253,plain,
% 0.75/0.91 ((~![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)) | (~(((~(u1_struct_0(C) = u1_struct_0(A))) | (~(u1_pre_topc(C) = a_2_1_yellow_6(A, B)))) <=> (C = k14_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)) | (~(((~(u1_struct_0(C) = u1_struct_0(B!1))) | (~(u1_pre_topc(C) = a_2_1_yellow_6(B!1, B)))) <=> (C = k14_yellow_6(B!1, B)))))))),
% 0.75/0.91 inference(quant_inst,[status(thm)],[])).
% 0.75/0.91 tff(254,plain,
% 0.75/0.91 ((~![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)) | (~(((~(u1_struct_0(C) = u1_struct_0(A))) | (~(u1_pre_topc(C) = a_2_1_yellow_6(A, B)))) <=> (C = k14_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)) | (~(((~(u1_struct_0(C) = u1_struct_0(B!1))) | (~(u1_pre_topc(C) = a_2_1_yellow_6(B!1, B)))) <=> (C = k14_yellow_6(B!1, B))))))),
% 0.75/0.91 inference(modus_ponens,[status(thm)],[253, 252])).
% 0.75/0.91 tff(255,plain,
% 0.75/0.91 (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)) | (~(((~(u1_struct_0(C) = u1_struct_0(B!1))) | (~(u1_pre_topc(C) = a_2_1_yellow_6(B!1, B)))) <=> (C = k14_yellow_6(B!1, B))))))),
% 0.75/0.91 inference(unit_resolution,[status(thm)],[254, 251])).
% 0.75/0.91 tff(256,plain,
% 0.75/0.92 (![B: $i] : ((~m4_yellow_6(B, B!1)) | ![C: $i] : ((~v1_pre_topc(C)) | (~l1_pre_topc(C)) | (~(((~(u1_struct_0(C) = u1_struct_0(B!1))) | (~(u1_pre_topc(C) = a_2_1_yellow_6(B!1, B)))) <=> (C = k14_yellow_6(B!1, B))))))),
% 0.75/0.92 inference(unit_resolution,[status(thm)],[255, 33, 68])).
% 0.75/0.92 tff(257,plain,
% 0.75/0.92 (((~![B: $i] : ((~m4_yellow_6(B, B!1)) | ![C: $i] : ((~v1_pre_topc(C)) | (~l1_pre_topc(C)) | (~(((~(u1_struct_0(C) = u1_struct_0(B!1))) | (~(u1_pre_topc(C) = a_2_1_yellow_6(B!1, B)))) <=> (C = k14_yellow_6(B!1, B))))))) | ((~m4_yellow_6(k3_waybel28(B!1), B!1)) | ![C: $i] : ((~v1_pre_topc(C)) | (~l1_pre_topc(C)) | (~(((~(u1_struct_0(C) = u1_struct_0(B!1))) | (~(u1_pre_topc(C) = a_2_1_yellow_6(B!1, k3_waybel28(B!1))))) <=> (C = k14_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)) | (~(((~(u1_struct_0(C) = u1_struct_0(B!1))) | (~(u1_pre_topc(C) = a_2_1_yellow_6(B!1, B)))) <=> (C = k14_yellow_6(B!1, B))))))) | (~m4_yellow_6(k3_waybel28(B!1), B!1)) | ![C: $i] : ((~v1_pre_topc(C)) | (~l1_pre_topc(C)) | (~(((~(u1_struct_0(C) = u1_struct_0(B!1))) | (~(u1_pre_topc(C) = a_2_1_yellow_6(B!1, k3_waybel28(B!1))))) <=> (C = k14_yellow_6(B!1, k3_waybel28(B!1)))))))),
% 0.75/0.92 inference(rewrite,[status(thm)],[])).
% 0.75/0.92 tff(258,plain,
% 0.75/0.92 ((~![B: $i] : ((~m4_yellow_6(B, B!1)) | ![C: $i] : ((~v1_pre_topc(C)) | (~l1_pre_topc(C)) | (~(((~(u1_struct_0(C) = u1_struct_0(B!1))) | (~(u1_pre_topc(C) = a_2_1_yellow_6(B!1, B)))) <=> (C = k14_yellow_6(B!1, B))))))) | ((~m4_yellow_6(k3_waybel28(B!1), B!1)) | ![C: $i] : ((~v1_pre_topc(C)) | (~l1_pre_topc(C)) | (~(((~(u1_struct_0(C) = u1_struct_0(B!1))) | (~(u1_pre_topc(C) = a_2_1_yellow_6(B!1, k3_waybel28(B!1))))) <=> (C = k14_yellow_6(B!1, k3_waybel28(B!1)))))))),
% 0.75/0.92 inference(quant_inst,[status(thm)],[])).
% 0.75/0.92 tff(259,plain,
% 0.75/0.92 ((~![B: $i] : ((~m4_yellow_6(B, B!1)) | ![C: $i] : ((~v1_pre_topc(C)) | (~l1_pre_topc(C)) | (~(((~(u1_struct_0(C) = u1_struct_0(B!1))) | (~(u1_pre_topc(C) = a_2_1_yellow_6(B!1, B)))) <=> (C = k14_yellow_6(B!1, B))))))) | (~m4_yellow_6(k3_waybel28(B!1), B!1)) | ![C: $i] : ((~v1_pre_topc(C)) | (~l1_pre_topc(C)) | (~(((~(u1_struct_0(C) = u1_struct_0(B!1))) | (~(u1_pre_topc(C) = a_2_1_yellow_6(B!1, k3_waybel28(B!1))))) <=> (C = k14_yellow_6(B!1, k3_waybel28(B!1))))))),
% 0.75/0.92 inference(modus_ponens,[status(thm)],[258, 257])).
% 0.75/0.92 tff(260,plain,
% 0.75/0.92 (![C: $i] : ((~v1_pre_topc(C)) | (~l1_pre_topc(C)) | (~(((~(u1_struct_0(C) = u1_struct_0(B!1))) | (~(u1_pre_topc(C) = a_2_1_yellow_6(B!1, k3_waybel28(B!1))))) <=> (C = k14_yellow_6(B!1, k3_waybel28(B!1))))))),
% 0.75/0.92 inference(unit_resolution,[status(thm)],[259, 256, 54])).
% 0.75/0.92 tff(261,plain,
% 0.75/0.92 (((~![C: $i] : ((~v1_pre_topc(C)) | (~l1_pre_topc(C)) | (~(((~(u1_struct_0(C) = u1_struct_0(B!1))) | (~(u1_pre_topc(C) = a_2_1_yellow_6(B!1, k3_waybel28(B!1))))) <=> (C = 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)))))) | (~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)))))) | (~(((~(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))))))) <=> ((~![C: $i] : ((~v1_pre_topc(C)) | (~l1_pre_topc(C)) | (~(((~(u1_struct_0(C) = u1_struct_0(B!1))) | (~(u1_pre_topc(C) = a_2_1_yellow_6(B!1, k3_waybel28(B!1))))) <=> (C = 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)))))) | (~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)))))) | (~(((~(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))))))),
% 0.75/0.92 inference(rewrite,[status(thm)],[])).
% 0.75/0.92 tff(262,plain,
% 0.75/0.92 ((~![C: $i] : ((~v1_pre_topc(C)) | (~l1_pre_topc(C)) | (~(((~(u1_struct_0(C) = u1_struct_0(B!1))) | (~(u1_pre_topc(C) = a_2_1_yellow_6(B!1, k3_waybel28(B!1))))) <=> (C = 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)))))) | (~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)))))) | (~(((~(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))))))),
% 0.75/0.92 inference(quant_inst,[status(thm)],[])).
% 0.75/0.92 tff(263,plain,
% 0.75/0.92 ((~![C: $i] : ((~v1_pre_topc(C)) | (~l1_pre_topc(C)) | (~(((~(u1_struct_0(C) = u1_struct_0(B!1))) | (~(u1_pre_topc(C) = a_2_1_yellow_6(B!1, k3_waybel28(B!1))))) <=> (C = 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)))))) | (~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)))))) | (~(((~(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)))))),
% 0.75/0.92 inference(modus_ponens,[status(thm)],[262, 261])).
% 0.75/0.92 tff(264,plain,
% 0.75/0.92 ((~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)))))) | (~(((~(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)))))),
% 0.75/0.92 inference(unit_resolution,[status(thm)],[263, 260])).
% 0.75/0.92 tff(265,plain,
% 0.75/0.92 (~(((~(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))))),
% 0.75/0.92 inference(unit_resolution,[status(thm)],[264, 235, 232])).
% 0.75/0.92 tff(266,plain,
% 0.75/0.92 ((((~(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)))))) | (~(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))))),
% 0.75/0.92 inference(tautology,[status(thm)],[])).
% 0.75/0.92 tff(267,plain,
% 0.75/0.92 ((((~(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))))))),
% 0.75/0.92 inference(unit_resolution,[status(thm)],[266, 135])).
% 0.75/0.92 tff(268,plain,
% 0.75/0.92 (~((~(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)))))),
% 0.75/0.92 inference(unit_resolution,[status(thm)],[267, 265])).
% 0.75/0.92 tff(269,plain,
% 0.75/0.92 (((~(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))),
% 0.75/0.92 inference(tautology,[status(thm)],[])).
% 0.75/0.92 tff(270,plain,
% 0.75/0.92 (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)),
% 0.75/0.92 inference(unit_resolution,[status(thm)],[269, 268])).
% 0.75/0.92 tff(271,plain,
% 0.75/0.92 (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)))))),
% 0.75/0.92 inference(symmetry,[status(thm)],[270])).
% 0.75/0.92 tff(272,plain,
% 0.75/0.92 (^[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)))),
% 0.75/0.92 inference(bind,[status(th)],[])).
% 0.75/0.92 tff(273,plain,
% 0.75/0.92 (![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))),
% 0.75/0.92 inference(quant_intro,[status(thm)],[272])).
% 0.75/0.92 tff(274,plain,
% 0.75/0.92 (![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))),
% 0.75/0.92 inference(rewrite,[status(thm)],[])).
% 0.75/0.92 tff(275,axiom,(![A: $i, B: $i, C: $i] : (m2_relset_1(C, A, B) <=> m1_relset_1(C, A, B))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','redefinition_m2_relset_1')).
% 0.75/0.92 tff(276,plain,
% 0.75/0.92 (![A: $i, B: $i, C: $i] : (m2_relset_1(C, A, B) <=> m1_relset_1(C, A, B))),
% 0.75/0.92 inference(modus_ponens,[status(thm)],[275, 274])).
% 0.75/0.92 tff(277,plain,(
% 0.75/0.92 ![A: $i, B: $i, C: $i] : (m2_relset_1(C, A, B) <=> m1_relset_1(C, A, B))),
% 0.75/0.92 inference(skolemize,[status(sab)],[276])).
% 0.75/0.92 tff(278,plain,
% 0.75/0.92 (![A: $i, B: $i, C: $i] : (m2_relset_1(C, A, B) <=> m1_relset_1(C, A, B))),
% 0.75/0.92 inference(modus_ponens,[status(thm)],[277, 273])).
% 0.75/0.92 tff(279,plain,
% 0.75/0.92 ((~![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)))),
% 0.75/0.92 inference(quant_inst,[status(thm)],[])).
% 0.75/0.92 tff(280,plain,
% 0.75/0.92 (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))),
% 0.75/0.92 inference(unit_resolution,[status(thm)],[279, 278])).
% 0.75/0.92 tff(281,plain,
% 0.75/0.92 (^[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))))),
% 0.75/0.92 inference(bind,[status(th)],[])).
% 0.75/0.92 tff(282,plain,
% 0.75/0.92 (![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)))),
% 0.75/0.92 inference(quant_intro,[status(thm)],[281])).
% 0.75/0.92 tff(283,plain,
% 0.75/0.92 (![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)))),
% 0.75/0.92 inference(rewrite,[status(thm)],[])).
% 0.75/0.92 tff(284,plain,
% 0.75/0.92 (^[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))))),
% 0.75/0.92 inference(bind,[status(th)],[])).
% 0.75/0.92 tff(285,plain,
% 0.75/0.92 (![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)))),
% 0.75/0.92 inference(quant_intro,[status(thm)],[284])).
% 0.75/0.92 tff(286,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/sandbox/benchmark/theBenchmark.p','dt_u1_orders_2')).
% 0.75/0.92 tff(287,plain,
% 0.75/0.92 (![A: $i] : ((~l1_orders_2(A)) | m2_relset_1(u1_orders_2(A), u1_struct_0(A), u1_struct_0(A)))),
% 0.75/0.92 inference(modus_ponens,[status(thm)],[286, 285])).
% 0.75/0.92 tff(288,plain,
% 0.75/0.92 (![A: $i] : ((~l1_orders_2(A)) | m2_relset_1(u1_orders_2(A), u1_struct_0(A), u1_struct_0(A)))),
% 0.75/0.92 inference(modus_ponens,[status(thm)],[287, 283])).
% 0.75/0.92 tff(289,plain,(
% 0.75/0.92 ![A: $i] : ((~l1_orders_2(A)) | m2_relset_1(u1_orders_2(A), u1_struct_0(A), u1_struct_0(A)))),
% 0.75/0.92 inference(skolemize,[status(sab)],[288])).
% 0.75/0.92 tff(290,plain,
% 0.75/0.92 (![A: $i] : ((~l1_orders_2(A)) | m2_relset_1(u1_orders_2(A), u1_struct_0(A), u1_struct_0(A)))),
% 0.75/0.92 inference(modus_ponens,[status(thm)],[289, 282])).
% 0.75/0.92 tff(291,plain,
% 0.75/0.92 (((~![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)))),
% 0.75/0.92 inference(rewrite,[status(thm)],[])).
% 0.75/0.92 tff(292,plain,
% 0.75/0.92 ((~![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)))),
% 0.75/0.92 inference(quant_inst,[status(thm)],[])).
% 0.75/0.92 tff(293,plain,
% 0.75/0.92 ((~![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))),
% 0.75/0.92 inference(modus_ponens,[status(thm)],[292, 291])).
% 0.75/0.92 tff(294,plain,
% 0.75/0.92 (m2_relset_1(u1_orders_2(B!1), u1_struct_0(B!1), u1_struct_0(B!1))),
% 0.75/0.92 inference(unit_resolution,[status(thm)],[293, 25, 290])).
% 0.75/0.92 tff(295,plain,
% 0.75/0.92 ((~(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))),
% 0.75/0.92 inference(tautology,[status(thm)],[])).
% 0.75/0.92 tff(296,plain,
% 0.75/0.92 ((~(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))),
% 0.75/0.92 inference(unit_resolution,[status(thm)],[295, 294])).
% 0.75/0.92 tff(297,plain,
% 0.75/0.92 (m1_relset_1(u1_orders_2(B!1), u1_struct_0(B!1), u1_struct_0(B!1))),
% 0.75/0.92 inference(unit_resolution,[status(thm)],[296, 280])).
% 0.75/0.92 tff(298,plain,
% 0.75/0.92 (^[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)))))))),
% 0.75/0.92 inference(bind,[status(th)],[])).
% 0.75/0.92 tff(299,plain,
% 0.75/0.92 (![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))))))),
% 0.75/0.92 inference(quant_intro,[status(thm)],[298])).
% 0.75/0.92 tff(300,plain,
% 0.75/0.92 (^[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)))))))),
% 0.75/0.92 inference(bind,[status(th)],[])).
% 0.75/0.92 tff(301,plain,
% 0.75/0.92 (![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))))))),
% 0.75/0.92 inference(quant_intro,[status(thm)],[300])).
% 0.75/0.92 tff(302,plain,
% 0.75/0.92 (![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))))))),
% 0.75/0.92 inference(transitivity,[status(thm)],[301, 299])).
% 0.75/0.92 tff(303,plain,
% 0.75/0.92 (^[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)))))))),
% 0.75/0.92 inference(bind,[status(th)],[])).
% 0.75/0.92 tff(304,plain,
% 0.75/0.92 (![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))))))),
% 0.75/0.92 inference(quant_intro,[status(thm)],[303])).
% 0.75/0.92 tff(305,plain,
% 0.75/0.92 (![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))))),
% 0.75/0.92 inference(rewrite,[status(thm)],[])).
% 0.75/0.92 tff(306,plain,
% 0.75/0.92 (^[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))))))),
% 0.75/0.92 inference(bind,[status(th)],[])).
% 0.75/0.92 tff(307,plain,
% 0.75/0.92 (![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))))),
% 0.75/0.92 inference(quant_intro,[status(thm)],[306])).
% 0.75/0.92 tff(308,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/sandbox/benchmark/theBenchmark.p','free_g1_orders_2')).
% 0.75/0.92 tff(309,plain,
% 0.75/0.92 (![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))))),
% 0.75/0.92 inference(modus_ponens,[status(thm)],[308, 307])).
% 0.75/0.92 tff(310,plain,
% 0.75/0.92 (![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))))),
% 0.75/0.92 inference(modus_ponens,[status(thm)],[309, 305])).
% 0.75/0.92 tff(311,plain,(
% 0.75/0.92 ![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))))),
% 0.75/0.92 inference(skolemize,[status(sab)],[310])).
% 0.75/0.92 tff(312,plain,
% 0.75/0.92 (![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))))))),
% 0.75/0.92 inference(modus_ponens,[status(thm)],[311, 304])).
% 0.75/0.92 tff(313,plain,
% 0.75/0.92 (![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))))))),
% 0.75/0.92 inference(modus_ponens,[status(thm)],[312, 302])).
% 0.75/0.92 tff(314,plain,
% 0.75/0.92 (((~![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))))))),
% 0.75/0.92 inference(rewrite,[status(thm)],[])).
% 0.75/0.92 tff(315,plain,
% 0.75/0.92 ((~![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))))))),
% 0.75/0.92 inference(quant_inst,[status(thm)],[])).
% 0.75/0.92 tff(316,plain,
% 0.75/0.92 ((~![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)))))),
% 0.75/0.92 inference(modus_ponens,[status(thm)],[315, 314])).
% 0.75/0.92 tff(317,plain,
% 0.75/0.92 ((~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)))))),
% 0.75/0.92 inference(unit_resolution,[status(thm)],[316, 313])).
% 0.75/0.92 tff(318,plain,
% 0.75/0.92 (![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)))))),
% 0.75/0.92 inference(unit_resolution,[status(thm)],[317, 297])).
% 0.75/0.92 tff(319,plain,
% 0.75/0.92 (((~![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))))))),
% 0.75/0.92 inference(rewrite,[status(thm)],[])).
% 0.75/0.92 tff(320,plain,
% 0.75/0.92 ((~![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))))))),
% 0.75/0.92 inference(quant_inst,[status(thm)],[])).
% 0.75/0.92 tff(321,plain,
% 0.75/0.92 ((~![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)))))),
% 0.75/0.92 inference(modus_ponens,[status(thm)],[320, 319])).
% 0.75/0.92 tff(322,plain,
% 0.75/0.92 (~((~(u1_struct_0(B!1) = u1_struct_0(A!0))) | (~(u1_orders_2(B!1) = u1_orders_2(A!0))))),
% 0.75/0.92 inference(unit_resolution,[status(thm)],[321, 318, 203])).
% 0.75/0.92 tff(323,plain,
% 0.75/0.92 (((~(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))),
% 0.75/0.92 inference(tautology,[status(thm)],[])).
% 0.75/0.92 tff(324,plain,
% 0.75/0.92 (u1_struct_0(B!1) = u1_struct_0(A!0)),
% 0.75/0.92 inference(unit_resolution,[status(thm)],[323, 322])).
% 0.75/0.92 tff(325,plain,
% 0.75/0.92 (u1_struct_0(A!0) = u1_struct_0(B!1)),
% 0.75/0.92 inference(symmetry,[status(thm)],[324])).
% 0.75/0.92 tff(326,plain,
% 0.75/0.92 (((~![A: $i] : ((~v3_struct_0(A)) | (~l1_orders_2(A)) | (~v2_lattice3(A)))) | ((~v2_lattice3(A!0)) | (~l1_orders_2(A!0)) | (~v3_struct_0(A!0)))) <=> ((~![A: $i] : ((~v3_struct_0(A)) | (~l1_orders_2(A)) | (~v2_lattice3(A)))) | (~v2_lattice3(A!0)) | (~l1_orders_2(A!0)) | (~v3_struct_0(A!0)))),
% 0.75/0.92 inference(rewrite,[status(thm)],[])).
% 0.75/0.92 tff(327,plain,
% 0.75/0.92 (((~v3_struct_0(A!0)) | (~l1_orders_2(A!0)) | (~v2_lattice3(A!0))) <=> ((~v2_lattice3(A!0)) | (~l1_orders_2(A!0)) | (~v3_struct_0(A!0)))),
% 0.75/0.92 inference(rewrite,[status(thm)],[])).
% 0.75/0.92 tff(328,plain,
% 0.75/0.92 (((~![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)))) | ((~v2_lattice3(A!0)) | (~l1_orders_2(A!0)) | (~v3_struct_0(A!0))))),
% 0.75/0.92 inference(monotonicity,[status(thm)],[327])).
% 0.75/0.92 tff(329,plain,
% 0.75/0.92 (((~![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)))) | (~v2_lattice3(A!0)) | (~l1_orders_2(A!0)) | (~v3_struct_0(A!0)))),
% 0.75/0.92 inference(transitivity,[status(thm)],[328, 326])).
% 0.75/0.92 tff(330,plain,
% 0.75/0.92 ((~![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)))),
% 0.75/0.92 inference(quant_inst,[status(thm)],[])).
% 0.75/0.92 tff(331,plain,
% 0.75/0.92 ((~![A: $i] : ((~v3_struct_0(A)) | (~l1_orders_2(A)) | (~v2_lattice3(A)))) | (~v2_lattice3(A!0)) | (~l1_orders_2(A!0)) | (~v3_struct_0(A!0))),
% 0.75/0.92 inference(modus_ponens,[status(thm)],[330, 329])).
% 0.75/0.92 tff(332,plain,
% 0.75/0.92 (~v3_struct_0(A!0)),
% 0.75/0.92 inference(unit_resolution,[status(thm)],[331, 173, 172, 10])).
% 0.75/0.92 tff(333,plain,
% 0.75/0.92 (((~![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))),
% 0.75/0.92 inference(rewrite,[status(thm)],[])).
% 0.75/0.92 tff(334,plain,
% 0.75/0.92 ((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))),
% 0.75/0.92 inference(rewrite,[status(thm)],[])).
% 0.75/0.92 tff(335,plain,
% 0.75/0.92 (((~![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)))),
% 0.75/0.92 inference(monotonicity,[status(thm)],[334])).
% 0.75/0.92 tff(336,plain,
% 0.75/0.92 (((~![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))),
% 0.75/0.92 inference(transitivity,[status(thm)],[335, 333])).
% 0.75/0.92 tff(337,plain,
% 0.75/0.92 ((~![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)))),
% 0.75/0.92 inference(quant_inst,[status(thm)],[])).
% 0.75/0.92 tff(338,plain,
% 0.75/0.92 ((~![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)),
% 0.75/0.92 inference(modus_ponens,[status(thm)],[337, 336])).
% 0.75/0.92 tff(339,plain,
% 0.75/0.92 (v3_struct_0(A!0) | m4_yellow_6(k3_waybel28(A!0), A!0)),
% 0.75/0.92 inference(unit_resolution,[status(thm)],[338, 172, 46])).
% 0.75/0.92 tff(340,plain,
% 0.75/0.92 (m4_yellow_6(k3_waybel28(A!0), A!0)),
% 0.75/0.92 inference(unit_resolution,[status(thm)],[339, 332])).
% 0.75/0.92 tff(341,plain,
% 0.75/0.92 (((~![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)))),
% 0.75/0.92 inference(rewrite,[status(thm)],[])).
% 0.75/0.92 tff(342,plain,
% 0.75/0.92 ((~![A: $i] : (l1_struct_0(A) | (~l1_orders_2(A)))) | (l1_struct_0(A!0) | (~l1_orders_2(A!0)))),
% 0.75/0.92 inference(quant_inst,[status(thm)],[])).
% 0.75/0.92 tff(343,plain,
% 0.75/0.92 ((~![A: $i] : (l1_struct_0(A) | (~l1_orders_2(A)))) | l1_struct_0(A!0) | (~l1_orders_2(A!0))),
% 0.75/0.92 inference(modus_ponens,[status(thm)],[342, 341])).
% 0.75/0.92 tff(344,plain,
% 0.75/0.92 (l1_struct_0(A!0)),
% 0.75/0.92 inference(unit_resolution,[status(thm)],[343, 172, 64])).
% 0.75/0.92 tff(345,plain,
% 0.75/0.92 (((~![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)))))))),
% 0.75/0.92 inference(rewrite,[status(thm)],[])).
% 0.75/0.92 tff(346,plain,
% 0.75/0.92 ((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)))))))),
% 0.75/0.92 inference(rewrite,[status(thm)],[])).
% 0.75/0.92 tff(347,plain,
% 0.75/0.92 ((~((~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))))))),
% 0.75/0.92 inference(rewrite,[status(thm)],[])).
% 0.75/0.92 tff(348,plain,
% 0.75/0.92 ((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)))))))),
% 0.75/0.92 inference(monotonicity,[status(thm)],[347])).
% 0.75/0.92 tff(349,plain,
% 0.75/0.92 ((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)))))))),
% 0.75/0.92 inference(transitivity,[status(thm)],[348, 346])).
% 0.75/0.92 tff(350,plain,
% 0.75/0.92 (((~![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))))))))),
% 0.75/0.92 inference(monotonicity,[status(thm)],[349])).
% 0.75/0.92 tff(351,plain,
% 0.75/0.92 (((~![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)))))))),
% 0.75/0.92 inference(transitivity,[status(thm)],[350, 345])).
% 0.75/0.92 tff(352,plain,
% 0.75/0.92 ((~![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)))))))),
% 0.75/0.92 inference(quant_inst,[status(thm)],[])).
% 0.75/0.92 tff(353,plain,
% 0.75/0.92 ((~![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))))))),
% 0.75/0.92 inference(modus_ponens,[status(thm)],[352, 351])).
% 0.75/0.92 tff(354,plain,
% 0.75/0.92 ((~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))))))),
% 0.75/0.93 inference(unit_resolution,[status(thm)],[353, 81, 332, 344])).
% 0.75/0.93 tff(355,plain,
% 0.75/0.93 (~((~v1_pre_topc(k14_yellow_6(A!0, k3_waybel28(A!0)))) | (~l1_pre_topc(k14_yellow_6(A!0, k3_waybel28(A!0)))))),
% 0.75/0.93 inference(unit_resolution,[status(thm)],[354, 340])).
% 0.75/0.93 tff(356,plain,
% 0.75/0.93 (((~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)))),
% 0.75/0.93 inference(tautology,[status(thm)],[])).
% 0.75/0.93 tff(357,plain,
% 0.75/0.93 (l1_pre_topc(k14_yellow_6(A!0, k3_waybel28(A!0)))),
% 0.75/0.93 inference(unit_resolution,[status(thm)],[356, 355])).
% 0.75/0.93 tff(358,plain,
% 0.75/0.93 (((~![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)))))))),
% 0.75/0.93 inference(rewrite,[status(thm)],[])).
% 0.75/0.93 tff(359,plain,
% 0.75/0.93 ((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)))))))),
% 0.75/0.93 inference(rewrite,[status(thm)],[])).
% 0.75/0.93 tff(360,plain,
% 0.75/0.93 (((~![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))))))))),
% 0.75/0.93 inference(monotonicity,[status(thm)],[359])).
% 0.75/0.93 tff(361,plain,
% 0.75/0.93 (((~![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)))))))),
% 0.75/0.93 inference(transitivity,[status(thm)],[360, 358])).
% 0.75/0.93 tff(362,plain,
% 0.75/0.93 ((~![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)))))))),
% 0.75/0.93 inference(quant_inst,[status(thm)],[])).
% 0.75/0.93 tff(363,plain,
% 0.75/0.93 ((~![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))))))),
% 0.75/0.93 inference(modus_ponens,[status(thm)],[362, 361])).
% 0.75/0.93 tff(364,plain,
% 0.75/0.93 ((~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))))))),
% 0.75/0.93 inference(unit_resolution,[status(thm)],[363, 107, 332, 344])).
% 0.75/0.93 tff(365,plain,
% 0.75/0.93 (~(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)))))),
% 0.75/0.93 inference(unit_resolution,[status(thm)],[364, 340])).
% 0.75/0.93 tff(366,plain,
% 0.75/0.93 ((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)))),
% 0.75/0.93 inference(tautology,[status(thm)],[])).
% 0.75/0.93 tff(367,plain,
% 0.75/0.93 (v1_pre_topc(k14_yellow_6(A!0, k3_waybel28(A!0)))),
% 0.75/0.93 inference(unit_resolution,[status(thm)],[366, 365])).
% 0.75/0.93 tff(368,plain,
% 0.75/0.93 (((~![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))))))),
% 0.75/0.93 inference(rewrite,[status(thm)],[])).
% 0.75/0.93 tff(369,plain,
% 0.75/0.93 (((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))))))),
% 0.75/0.93 inference(rewrite,[status(thm)],[])).
% 0.75/0.93 tff(370,plain,
% 0.75/0.93 (((~![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)))))))),
% 0.75/0.93 inference(monotonicity,[status(thm)],[369])).
% 0.75/0.93 tff(371,plain,
% 0.75/0.93 (((~![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))))))),
% 0.75/0.93 inference(transitivity,[status(thm)],[370, 368])).
% 0.75/0.93 tff(372,plain,
% 0.75/0.93 ((~![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)))))),
% 0.75/0.93 inference(quant_inst,[status(thm)],[])).
% 0.75/0.93 tff(373,plain,
% 0.75/0.93 ((~![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)))))),
% 0.75/0.93 inference(modus_ponens,[status(thm)],[372, 371])).
% 0.75/0.93 tff(374,plain,
% 0.75/0.93 (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))))),
% 0.75/0.93 inference(unit_resolution,[status(thm)],[373, 127, 367, 357])).
% 0.75/0.93 tff(375,plain,
% 0.75/0.93 (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))),
% 0.75/0.93 inference(symmetry,[status(thm)],[374])).
% 0.75/0.93 tff(376,plain,
% 0.75/0.93 (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)))),
% 0.75/0.93 inference(monotonicity,[status(thm)],[375])).
% 0.75/0.93 tff(377,plain,
% 0.75/0.93 (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)))))),
% 0.75/0.93 inference(symmetry,[status(thm)],[376])).
% 0.75/0.93 tff(378,plain,
% 0.75/0.93 (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)))))),
% 0.75/0.93 inference(modus_ponens,[status(thm)],[367, 377])).
% 0.75/0.93 tff(379,plain,
% 0.75/0.93 (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)))),
% 0.75/0.93 inference(monotonicity,[status(thm)],[375])).
% 0.75/0.93 tff(380,plain,
% 0.75/0.93 (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)))))),
% 0.75/0.93 inference(symmetry,[status(thm)],[379])).
% 0.75/0.93 tff(381,plain,
% 0.75/0.93 (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)))))),
% 0.75/0.93 inference(modus_ponens,[status(thm)],[357, 380])).
% 0.75/0.93 tff(382,plain,
% 0.75/0.93 (((~![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)) | (~(((~(u1_struct_0(C) = u1_struct_0(A))) | (~(u1_pre_topc(C) = a_2_1_yellow_6(A, B)))) <=> (C = k14_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)) | (~(((~(u1_struct_0(C) = u1_struct_0(A!0))) | (~(u1_pre_topc(C) = a_2_1_yellow_6(A!0, B)))) <=> (C = k14_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)) | (~(((~(u1_struct_0(C) = u1_struct_0(A))) | (~(u1_pre_topc(C) = a_2_1_yellow_6(A, B)))) <=> (C = k14_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)) | (~(((~(u1_struct_0(C) = u1_struct_0(A!0))) | (~(u1_pre_topc(C) = a_2_1_yellow_6(A!0, B)))) <=> (C = k14_yellow_6(A!0, B)))))))),
% 0.75/0.93 inference(rewrite,[status(thm)],[])).
% 0.75/0.93 tff(383,plain,
% 0.75/0.93 ((~![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)) | (~(((~(u1_struct_0(C) = u1_struct_0(A))) | (~(u1_pre_topc(C) = a_2_1_yellow_6(A, B)))) <=> (C = k14_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)) | (~(((~(u1_struct_0(C) = u1_struct_0(A!0))) | (~(u1_pre_topc(C) = a_2_1_yellow_6(A!0, B)))) <=> (C = k14_yellow_6(A!0, B)))))))),
% 0.75/0.93 inference(quant_inst,[status(thm)],[])).
% 0.75/0.93 tff(384,plain,
% 0.75/0.93 ((~![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)) | (~(((~(u1_struct_0(C) = u1_struct_0(A))) | (~(u1_pre_topc(C) = a_2_1_yellow_6(A, B)))) <=> (C = k14_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)) | (~(((~(u1_struct_0(C) = u1_struct_0(A!0))) | (~(u1_pre_topc(C) = a_2_1_yellow_6(A!0, B)))) <=> (C = k14_yellow_6(A!0, B))))))),
% 0.75/0.93 inference(modus_ponens,[status(thm)],[383, 382])).
% 0.75/0.93 tff(385,plain,
% 0.75/0.93 (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)) | (~(((~(u1_struct_0(C) = u1_struct_0(A!0))) | (~(u1_pre_topc(C) = a_2_1_yellow_6(A!0, B)))) <=> (C = k14_yellow_6(A!0, B))))))),
% 0.75/0.93 inference(unit_resolution,[status(thm)],[384, 251])).
% 0.75/0.93 tff(386,plain,
% 0.75/0.93 (![B: $i] : ((~m4_yellow_6(B, A!0)) | ![C: $i] : ((~v1_pre_topc(C)) | (~l1_pre_topc(C)) | (~(((~(u1_struct_0(C) = u1_struct_0(A!0))) | (~(u1_pre_topc(C) = a_2_1_yellow_6(A!0, B)))) <=> (C = k14_yellow_6(A!0, B))))))),
% 0.75/0.93 inference(unit_resolution,[status(thm)],[385, 332, 344])).
% 0.75/0.93 tff(387,plain,
% 0.75/0.93 (((~![B: $i] : ((~m4_yellow_6(B, A!0)) | ![C: $i] : ((~v1_pre_topc(C)) | (~l1_pre_topc(C)) | (~(((~(u1_struct_0(C) = u1_struct_0(A!0))) | (~(u1_pre_topc(C) = a_2_1_yellow_6(A!0, B)))) <=> (C = k14_yellow_6(A!0, B))))))) | ((~m4_yellow_6(k3_waybel28(A!0), A!0)) | ![C: $i] : ((~v1_pre_topc(C)) | (~l1_pre_topc(C)) | (~(((~(u1_struct_0(C) = u1_struct_0(A!0))) | (~(u1_pre_topc(C) = a_2_1_yellow_6(A!0, k3_waybel28(A!0))))) <=> (C = k14_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)) | (~(((~(u1_struct_0(C) = u1_struct_0(A!0))) | (~(u1_pre_topc(C) = a_2_1_yellow_6(A!0, B)))) <=> (C = k14_yellow_6(A!0, B))))))) | (~m4_yellow_6(k3_waybel28(A!0), A!0)) | ![C: $i] : ((~v1_pre_topc(C)) | (~l1_pre_topc(C)) | (~(((~(u1_struct_0(C) = u1_struct_0(A!0))) | (~(u1_pre_topc(C) = a_2_1_yellow_6(A!0, k3_waybel28(A!0))))) <=> (C = k14_yellow_6(A!0, k3_waybel28(A!0)))))))),
% 0.75/0.93 inference(rewrite,[status(thm)],[])).
% 0.75/0.93 tff(388,plain,
% 0.75/0.93 ((~![B: $i] : ((~m4_yellow_6(B, A!0)) | ![C: $i] : ((~v1_pre_topc(C)) | (~l1_pre_topc(C)) | (~(((~(u1_struct_0(C) = u1_struct_0(A!0))) | (~(u1_pre_topc(C) = a_2_1_yellow_6(A!0, B)))) <=> (C = k14_yellow_6(A!0, B))))))) | ((~m4_yellow_6(k3_waybel28(A!0), A!0)) | ![C: $i] : ((~v1_pre_topc(C)) | (~l1_pre_topc(C)) | (~(((~(u1_struct_0(C) = u1_struct_0(A!0))) | (~(u1_pre_topc(C) = a_2_1_yellow_6(A!0, k3_waybel28(A!0))))) <=> (C = k14_yellow_6(A!0, k3_waybel28(A!0)))))))),
% 0.75/0.93 inference(quant_inst,[status(thm)],[])).
% 0.75/0.93 tff(389,plain,
% 0.75/0.93 ((~![B: $i] : ((~m4_yellow_6(B, A!0)) | ![C: $i] : ((~v1_pre_topc(C)) | (~l1_pre_topc(C)) | (~(((~(u1_struct_0(C) = u1_struct_0(A!0))) | (~(u1_pre_topc(C) = a_2_1_yellow_6(A!0, B)))) <=> (C = k14_yellow_6(A!0, B))))))) | (~m4_yellow_6(k3_waybel28(A!0), A!0)) | ![C: $i] : ((~v1_pre_topc(C)) | (~l1_pre_topc(C)) | (~(((~(u1_struct_0(C) = u1_struct_0(A!0))) | (~(u1_pre_topc(C) = a_2_1_yellow_6(A!0, k3_waybel28(A!0))))) <=> (C = k14_yellow_6(A!0, k3_waybel28(A!0))))))),
% 0.75/0.93 inference(modus_ponens,[status(thm)],[388, 387])).
% 0.75/0.93 tff(390,plain,
% 0.75/0.93 (![C: $i] : ((~v1_pre_topc(C)) | (~l1_pre_topc(C)) | (~(((~(u1_struct_0(C) = u1_struct_0(A!0))) | (~(u1_pre_topc(C) = a_2_1_yellow_6(A!0, k3_waybel28(A!0))))) <=> (C = k14_yellow_6(A!0, k3_waybel28(A!0))))))),
% 0.75/0.93 inference(unit_resolution,[status(thm)],[389, 386, 340])).
% 0.75/0.93 tff(391,plain,
% 0.75/0.93 (((~![C: $i] : ((~v1_pre_topc(C)) | (~l1_pre_topc(C)) | (~(((~(u1_struct_0(C) = u1_struct_0(A!0))) | (~(u1_pre_topc(C) = a_2_1_yellow_6(A!0, k3_waybel28(A!0))))) <=> (C = 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)))))) | (~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)))))) | (~(((~(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)))) <=> (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))))))) <=> ((~![C: $i] : ((~v1_pre_topc(C)) | (~l1_pre_topc(C)) | (~(((~(u1_struct_0(C) = u1_struct_0(A!0))) | (~(u1_pre_topc(C) = a_2_1_yellow_6(A!0, k3_waybel28(A!0))))) <=> (C = 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)))))) | (~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)))))) | (~(((~(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)))) <=> (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))))))),
% 0.75/0.93 inference(rewrite,[status(thm)],[])).
% 0.75/0.93 tff(392,plain,
% 0.75/0.93 (((~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)))))) | (~(((~(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)))) <=> (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)))))) <=> ((~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)))))) | (~(((~(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)))) <=> (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))))))),
% 0.75/0.93 inference(rewrite,[status(thm)],[])).
% 0.75/0.93 tff(393,plain,
% 0.75/0.93 ((~(((~(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)))) <=> (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_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)))) <=> (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)))))),
% 0.75/0.93 inference(rewrite,[status(thm)],[])).
% 0.75/0.93 tff(394,plain,
% 0.75/0.93 ((((~(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_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)))) <=> (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))))),
% 0.75/0.93 inference(rewrite,[status(thm)],[])).
% 0.75/0.93 tff(395,plain,
% 0.75/0.93 ((~(((~(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_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)))) <=> (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)))))),
% 0.75/0.93 inference(monotonicity,[status(thm)],[394])).
% 0.75/0.93 tff(396,plain,
% 0.75/0.93 ((~(((~(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_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)))) <=> (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)))))),
% 0.77/0.93 inference(transitivity,[status(thm)],[395, 393])).
% 0.77/0.93 tff(397,plain,
% 0.77/0.93 (((~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)))))) | (~(((~(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)))))) <=> ((~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)))))) | (~(((~(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)))) <=> (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))))))),
% 0.77/0.93 inference(monotonicity,[status(thm)],[396])).
% 0.77/0.93 tff(398,plain,
% 0.77/0.93 (((~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)))))) | (~(((~(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)))))) <=> ((~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)))))) | (~(((~(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)))) <=> (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))))))),
% 0.77/0.93 inference(transitivity,[status(thm)],[397, 392])).
% 0.77/0.93 tff(399,plain,
% 0.77/0.93 (((~![C: $i] : ((~v1_pre_topc(C)) | (~l1_pre_topc(C)) | (~(((~(u1_struct_0(C) = u1_struct_0(A!0))) | (~(u1_pre_topc(C) = a_2_1_yellow_6(A!0, k3_waybel28(A!0))))) <=> (C = 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)))))) | (~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)))))) | (~(((~(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))))))) <=> ((~![C: $i] : ((~v1_pre_topc(C)) | (~l1_pre_topc(C)) | (~(((~(u1_struct_0(C) = u1_struct_0(A!0))) | (~(u1_pre_topc(C) = a_2_1_yellow_6(A!0, k3_waybel28(A!0))))) <=> (C = 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)))))) | (~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)))))) | (~(((~(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)))) <=> (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)))))))),
% 0.77/0.93 inference(monotonicity,[status(thm)],[398])).
% 0.77/0.93 tff(400,plain,
% 0.77/0.93 (((~![C: $i] : ((~v1_pre_topc(C)) | (~l1_pre_topc(C)) | (~(((~(u1_struct_0(C) = u1_struct_0(A!0))) | (~(u1_pre_topc(C) = a_2_1_yellow_6(A!0, k3_waybel28(A!0))))) <=> (C = 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)))))) | (~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)))))) | (~(((~(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))))))) <=> ((~![C: $i] : ((~v1_pre_topc(C)) | (~l1_pre_topc(C)) | (~(((~(u1_struct_0(C) = u1_struct_0(A!0))) | (~(u1_pre_topc(C) = a_2_1_yellow_6(A!0, k3_waybel28(A!0))))) <=> (C = 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)))))) | (~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)))))) | (~(((~(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)))) <=> (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))))))),
% 0.77/0.93 inference(transitivity,[status(thm)],[399, 391])).
% 0.77/0.93 tff(401,plain,
% 0.77/0.93 ((~![C: $i] : ((~v1_pre_topc(C)) | (~l1_pre_topc(C)) | (~(((~(u1_struct_0(C) = u1_struct_0(A!0))) | (~(u1_pre_topc(C) = a_2_1_yellow_6(A!0, k3_waybel28(A!0))))) <=> (C = 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)))))) | (~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)))))) | (~(((~(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))))))),
% 0.77/0.94 inference(quant_inst,[status(thm)],[])).
% 0.77/0.94 tff(402,plain,
% 0.77/0.94 ((~![C: $i] : ((~v1_pre_topc(C)) | (~l1_pre_topc(C)) | (~(((~(u1_struct_0(C) = u1_struct_0(A!0))) | (~(u1_pre_topc(C) = a_2_1_yellow_6(A!0, k3_waybel28(A!0))))) <=> (C = 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)))))) | (~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)))))) | (~(((~(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)))) <=> (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)))))),
% 0.77/0.94 inference(modus_ponens,[status(thm)],[401, 400])).
% 0.77/0.94 tff(403,plain,
% 0.77/0.94 ((~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)))))) | (~(((~(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)))) <=> (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)))))),
% 0.77/0.94 inference(unit_resolution,[status(thm)],[402, 390])).
% 0.77/0.94 tff(404,plain,
% 0.77/0.94 (~(((~(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)))) <=> (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))))),
% 0.77/0.94 inference(unit_resolution,[status(thm)],[403, 381, 378])).
% 0.77/0.94 tff(405,plain,
% 0.77/0.94 ((((~(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)))) <=> (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_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))))) | (~(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))))),
% 0.77/0.94 inference(tautology,[status(thm)],[])).
% 0.77/0.94 tff(406,plain,
% 0.77/0.94 ((((~(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)))) <=> (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_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)))))),
% 0.77/0.94 inference(unit_resolution,[status(thm)],[405, 375])).
% 0.77/0.94 tff(407,plain,
% 0.77/0.94 (~((~(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))))),
% 0.77/0.94 inference(unit_resolution,[status(thm)],[406, 404])).
% 0.77/0.94 tff(408,plain,
% 0.77/0.94 (((~(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_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))),
% 0.77/0.94 inference(tautology,[status(thm)],[])).
% 0.77/0.94 tff(409,plain,
% 0.77/0.94 (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)),
% 0.77/0.94 inference(unit_resolution,[status(thm)],[408, 407])).
% 0.77/0.94 tff(410,plain,
% 0.77/0.94 (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)))))),
% 0.77/0.94 inference(monotonicity,[status(thm)],[374])).
% 0.77/0.94 tff(411,plain,
% 0.77/0.94 (u1_struct_0(k14_yellow_6(A!0, k3_waybel28(A!0))) = u1_struct_0(k14_yellow_6(B!1, k3_waybel28(B!1)))),
% 0.77/0.94 inference(transitivity,[status(thm)],[410, 409, 325, 271, 229])).
% 0.77/0.94 tff(412,plain,
% 0.77/0.94 (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))))),
% 0.77/0.94 inference(monotonicity,[status(thm)],[411, 227])).
% 0.77/0.94 tff(413,plain,
% 0.77/0.94 (k14_yellow_6(A!0, k3_waybel28(A!0)) = k14_yellow_6(B!1, k3_waybel28(B!1))),
% 0.77/0.94 inference(transitivity,[status(thm)],[374, 412, 135])).
% 0.77/0.94 tff(414,plain,
% 0.77/0.94 (~(k14_yellow_6(A!0, k3_waybel28(A!0)) = k14_yellow_6(B!1, k3_waybel28(B!1)))),
% 0.77/0.94 inference(or_elim,[status(thm)],[23])).
% 0.77/0.94 tff(415,plain,
% 0.77/0.94 ($false),
% 0.77/0.94 inference(unit_resolution,[status(thm)],[414, 413])).
% 0.77/0.94 % SZS output end Proof
% 0.77/0.94 % E exiting
%------------------------------------------------------------------------------