%------------------------------------------------------------------------------
% File : Z3---4.15.1
% Problem : CAT028+1 : TPTP v9.0.0. Released v3.4.0.
% Transfm : none
% Format : tptp
% Command : run_E %s %d THM
% Computer : n003.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 05:00:27 AM UTC 2025
% Result : Theorem 18.68s 18.86s
% Output : Proof 18.96s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : CAT028+1 : TPTP v9.0.0. Released v3.4.0.
% 0.03/0.12 % Command : run_E %s %d THM
% 0.12/0.34 % Computer : n003.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 : Thu Jun 19 11:54:39 EDT 2025
% 0.12/0.34 % CPUTime :
% 18.68/18.86 % SZS status Theorem
% 18.68/18.86 % SZS output start Proof
% 18.68/18.86 tff(r4_nattra_1_type, type, (
% 18.68/18.86 r4_nattra_1: ( $i * $i * $i * $i * $i * $i ) > $o)).
% 18.68/18.86 tff(k8_nattra_1_type, type, (
% 18.68/18.86 k8_nattra_1: ( $i * $i * $i * $i * $i * $i * $i ) > $i)).
% 18.68/18.86 tff(k13_isocat_2_type, type, (
% 18.68/18.86 k13_isocat_2: ( $i * $i * $i * $i * $i * $i ) > $i)).
% 18.68/18.86 tff(tptp_fun_H_7_type, type, (
% 18.68/18.86 tptp_fun_H_7: $i)).
% 18.68/18.86 tff(tptp_fun_F_5_type, type, (
% 18.68/18.86 tptp_fun_F_5: $i)).
% 18.68/18.86 tff(tptp_fun_E_4_type, type, (
% 18.68/18.86 tptp_fun_E_4: $i)).
% 18.68/18.86 tff(tptp_fun_C_2_type, type, (
% 18.68/18.86 tptp_fun_C_2: $i)).
% 18.68/18.86 tff(tptp_fun_B_1_type, type, (
% 18.68/18.86 tptp_fun_B_1: $i)).
% 18.68/18.86 tff(tptp_fun_A_0_type, type, (
% 18.68/18.86 tptp_fun_A_0: $i)).
% 18.68/18.86 tff(tptp_fun_G_6_type, type, (
% 18.68/18.86 tptp_fun_G_6: $i)).
% 18.68/18.86 tff(tptp_fun_D_3_type, type, (
% 18.68/18.86 tptp_fun_D_3: $i)).
% 18.68/18.86 tff(k11_isocat_2_type, type, (
% 18.68/18.86 k11_isocat_2: ( $i * $i * $i * $i ) > $i)).
% 18.68/18.86 tff(k11_cat_2_type, type, (
% 18.68/18.86 k11_cat_2: ( $i * $i ) > $i)).
% 18.68/18.86 tff(u2_cat_1_type, type, (
% 18.68/18.86 u2_cat_1: $i > $i)).
% 18.68/18.86 tff(u1_cat_1_type, type, (
% 18.68/18.86 u1_cat_1: $i > $i)).
% 18.68/18.86 tff(k6_isocat_1_type, type, (
% 18.68/18.86 k6_isocat_1: ( $i * $i * $i * $i * $i * $i * $i ) > $i)).
% 18.68/18.86 tff(k16_cat_2_type, type, (
% 18.68/18.86 k16_cat_2: ( $i * $i ) > $i)).
% 18.68/18.86 tff(k2_isocat_1_type, type, (
% 18.68/18.86 k2_isocat_1: ( $i * $i * $i * $i * $i ) > $i)).
% 18.68/18.86 tff(k8_isocat_2_type, type, (
% 18.68/18.86 k8_isocat_2: ( $i * $i ) > $i)).
% 18.68/18.86 tff(m2_nattra_1_type, type, (
% 18.68/18.86 m2_nattra_1: ( $i * $i * $i * $i * $i ) > $o)).
% 18.68/18.86 tff(m2_cat_1_type, type, (
% 18.68/18.86 m2_cat_1: ( $i * $i * $i ) > $o)).
% 18.68/18.86 tff(v2_cat_1_type, type, (
% 18.68/18.86 v2_cat_1: $i > $o)).
% 18.68/18.86 tff(l1_cat_1_type, type, (
% 18.68/18.86 l1_cat_1: $i > $o)).
% 18.68/18.86 tff(r2_nattra_1_type, type, (
% 18.68/18.86 r2_nattra_1: ( $i * $i * $i * $i ) > $o)).
% 18.68/18.86 tff(k14_isocat_2_type, type, (
% 18.68/18.86 k14_isocat_2: ( $i * $i * $i * $i * $i * $i ) > $i)).
% 18.68/18.86 tff(k12_isocat_2_type, type, (
% 18.68/18.86 k12_isocat_2: ( $i * $i * $i * $i ) > $i)).
% 18.68/18.86 tff(k17_cat_2_type, type, (
% 18.68/18.86 k17_cat_2: ( $i * $i ) > $i)).
% 18.68/18.86 tff(k9_isocat_2_type, type, (
% 18.68/18.86 k9_isocat_2: ( $i * $i ) > $i)).
% 18.68/18.86 tff(1,plain,
% 18.68/18.86 (^[A: $i] : rewrite(((~l1_cat_1(A)) | (~v2_cat_1(A)) | ![B: $i] : ((~l1_cat_1(B)) | (~v2_cat_1(B)) | ![C: $i] : ((~l1_cat_1(C)) | ![D: $i] : ((~m2_cat_1(D, A, k11_cat_2(B, C))) | ![E: $i] : ((~m2_cat_1(E, A, k11_cat_2(B, C))) | ![F: $i] : ((~m2_nattra_1(F, A, k11_cat_2(B, C), D, E)) | (k13_isocat_2(A, B, C, D, E, F) = k6_isocat_1(A, k11_cat_2(B, C), B, D, E, F, k8_isocat_2(B, C)))))) | (~v2_cat_1(C))))) <=> ((~l1_cat_1(A)) | (~v2_cat_1(A)) | ![B: $i] : ((~l1_cat_1(B)) | (~v2_cat_1(B)) | ![C: $i] : ((~l1_cat_1(C)) | (~v2_cat_1(C)) | ![D: $i] : ((~m2_cat_1(D, A, k11_cat_2(B, C))) | ![E: $i] : ((~m2_cat_1(E, A, k11_cat_2(B, C))) | ![F: $i] : ((~m2_nattra_1(F, A, k11_cat_2(B, C), D, E)) | (k13_isocat_2(A, B, C, D, E, F) = k6_isocat_1(A, k11_cat_2(B, C), B, D, E, F, k8_isocat_2(B, C))))))))))),
% 18.68/18.86 inference(bind,[status(th)],[])).
% 18.68/18.86 tff(2,plain,
% 18.68/18.86 (![A: $i] : ((~l1_cat_1(A)) | (~v2_cat_1(A)) | ![B: $i] : ((~l1_cat_1(B)) | (~v2_cat_1(B)) | ![C: $i] : ((~l1_cat_1(C)) | ![D: $i] : ((~m2_cat_1(D, A, k11_cat_2(B, C))) | ![E: $i] : ((~m2_cat_1(E, A, k11_cat_2(B, C))) | ![F: $i] : ((~m2_nattra_1(F, A, k11_cat_2(B, C), D, E)) | (k13_isocat_2(A, B, C, D, E, F) = k6_isocat_1(A, k11_cat_2(B, C), B, D, E, F, k8_isocat_2(B, C)))))) | (~v2_cat_1(C))))) <=> ![A: $i] : ((~l1_cat_1(A)) | (~v2_cat_1(A)) | ![B: $i] : ((~l1_cat_1(B)) | (~v2_cat_1(B)) | ![C: $i] : ((~l1_cat_1(C)) | (~v2_cat_1(C)) | ![D: $i] : ((~m2_cat_1(D, A, k11_cat_2(B, C))) | ![E: $i] : ((~m2_cat_1(E, A, k11_cat_2(B, C))) | ![F: $i] : ((~m2_nattra_1(F, A, k11_cat_2(B, C), D, E)) | (k13_isocat_2(A, B, C, D, E, F) = k6_isocat_1(A, k11_cat_2(B, C), B, D, E, F, k8_isocat_2(B, C)))))))))),
% 18.68/18.86 inference(quant_intro,[status(thm)],[1])).
% 18.68/18.86 tff(3,plain,
% 18.68/18.86 (^[A: $i] : refl(((~l1_cat_1(A)) | (~v2_cat_1(A)) | ![B: $i] : ((~l1_cat_1(B)) | (~v2_cat_1(B)) | ![C: $i] : ((~l1_cat_1(C)) | ![D: $i] : ((~m2_cat_1(D, A, k11_cat_2(B, C))) | ![E: $i] : ((~m2_cat_1(E, A, k11_cat_2(B, C))) | ![F: $i] : ((~m2_nattra_1(F, A, k11_cat_2(B, C), D, E)) | (k13_isocat_2(A, B, C, D, E, F) = k6_isocat_1(A, k11_cat_2(B, C), B, D, E, F, k8_isocat_2(B, C)))))) | (~v2_cat_1(C))))) <=> ((~l1_cat_1(A)) | (~v2_cat_1(A)) | ![B: $i] : ((~l1_cat_1(B)) | (~v2_cat_1(B)) | ![C: $i] : ((~l1_cat_1(C)) | ![D: $i] : ((~m2_cat_1(D, A, k11_cat_2(B, C))) | ![E: $i] : ((~m2_cat_1(E, A, k11_cat_2(B, C))) | ![F: $i] : ((~m2_nattra_1(F, A, k11_cat_2(B, C), D, E)) | (k13_isocat_2(A, B, C, D, E, F) = k6_isocat_1(A, k11_cat_2(B, C), B, D, E, F, k8_isocat_2(B, C)))))) | (~v2_cat_1(C))))))),
% 18.68/18.86 inference(bind,[status(th)],[])).
% 18.68/18.86 tff(4,plain,
% 18.68/18.86 (![A: $i] : ((~l1_cat_1(A)) | (~v2_cat_1(A)) | ![B: $i] : ((~l1_cat_1(B)) | (~v2_cat_1(B)) | ![C: $i] : ((~l1_cat_1(C)) | ![D: $i] : ((~m2_cat_1(D, A, k11_cat_2(B, C))) | ![E: $i] : ((~m2_cat_1(E, A, k11_cat_2(B, C))) | ![F: $i] : ((~m2_nattra_1(F, A, k11_cat_2(B, C), D, E)) | (k13_isocat_2(A, B, C, D, E, F) = k6_isocat_1(A, k11_cat_2(B, C), B, D, E, F, k8_isocat_2(B, C)))))) | (~v2_cat_1(C))))) <=> ![A: $i] : ((~l1_cat_1(A)) | (~v2_cat_1(A)) | ![B: $i] : ((~l1_cat_1(B)) | (~v2_cat_1(B)) | ![C: $i] : ((~l1_cat_1(C)) | ![D: $i] : ((~m2_cat_1(D, A, k11_cat_2(B, C))) | ![E: $i] : ((~m2_cat_1(E, A, k11_cat_2(B, C))) | ![F: $i] : ((~m2_nattra_1(F, A, k11_cat_2(B, C), D, E)) | (k13_isocat_2(A, B, C, D, E, F) = k6_isocat_1(A, k11_cat_2(B, C), B, D, E, F, k8_isocat_2(B, C)))))) | (~v2_cat_1(C)))))),
% 18.68/18.86 inference(quant_intro,[status(thm)],[3])).
% 18.68/18.86 tff(5,plain,
% 18.68/18.86 (^[A: $i] : rewrite(((~l1_cat_1(A)) | (~v2_cat_1(A)) | ![B: $i] : ((~l1_cat_1(B)) | (~v2_cat_1(B)) | ![C: $i] : ((~l1_cat_1(C)) | ![D: $i] : ((~m2_cat_1(D, A, k11_cat_2(B, C))) | ![E: $i] : ((~m2_cat_1(E, A, k11_cat_2(B, C))) | ![F: $i] : ((~m2_nattra_1(F, A, k11_cat_2(B, C), D, E)) | (k13_isocat_2(A, B, C, D, E, F) = k6_isocat_1(A, k11_cat_2(B, C), B, D, E, F, k8_isocat_2(B, C)))))) | (~v2_cat_1(C))))) <=> ((~l1_cat_1(A)) | (~v2_cat_1(A)) | ![B: $i] : ((~l1_cat_1(B)) | (~v2_cat_1(B)) | ![C: $i] : ((~l1_cat_1(C)) | ![D: $i] : ((~m2_cat_1(D, A, k11_cat_2(B, C))) | ![E: $i] : ((~m2_cat_1(E, A, k11_cat_2(B, C))) | ![F: $i] : ((~m2_nattra_1(F, A, k11_cat_2(B, C), D, E)) | (k13_isocat_2(A, B, C, D, E, F) = k6_isocat_1(A, k11_cat_2(B, C), B, D, E, F, k8_isocat_2(B, C)))))) | (~v2_cat_1(C))))))),
% 18.68/18.86 inference(bind,[status(th)],[])).
% 18.68/18.86 tff(6,plain,
% 18.68/18.86 (![A: $i] : ((~l1_cat_1(A)) | (~v2_cat_1(A)) | ![B: $i] : ((~l1_cat_1(B)) | (~v2_cat_1(B)) | ![C: $i] : ((~l1_cat_1(C)) | ![D: $i] : ((~m2_cat_1(D, A, k11_cat_2(B, C))) | ![E: $i] : ((~m2_cat_1(E, A, k11_cat_2(B, C))) | ![F: $i] : ((~m2_nattra_1(F, A, k11_cat_2(B, C), D, E)) | (k13_isocat_2(A, B, C, D, E, F) = k6_isocat_1(A, k11_cat_2(B, C), B, D, E, F, k8_isocat_2(B, C)))))) | (~v2_cat_1(C))))) <=> ![A: $i] : ((~l1_cat_1(A)) | (~v2_cat_1(A)) | ![B: $i] : ((~l1_cat_1(B)) | (~v2_cat_1(B)) | ![C: $i] : ((~l1_cat_1(C)) | ![D: $i] : ((~m2_cat_1(D, A, k11_cat_2(B, C))) | ![E: $i] : ((~m2_cat_1(E, A, k11_cat_2(B, C))) | ![F: $i] : ((~m2_nattra_1(F, A, k11_cat_2(B, C), D, E)) | (k13_isocat_2(A, B, C, D, E, F) = k6_isocat_1(A, k11_cat_2(B, C), B, D, E, F, k8_isocat_2(B, C)))))) | (~v2_cat_1(C)))))),
% 18.68/18.86 inference(quant_intro,[status(thm)],[5])).
% 18.68/18.86 tff(7,plain,
% 18.68/18.86 (![A: $i] : ((~l1_cat_1(A)) | (~v2_cat_1(A)) | ![B: $i] : ((~l1_cat_1(B)) | (~v2_cat_1(B)) | ![C: $i] : ((~l1_cat_1(C)) | ![D: $i] : ((~m2_cat_1(D, A, k11_cat_2(B, C))) | ![E: $i] : ((~m2_cat_1(E, A, k11_cat_2(B, C))) | ![F: $i] : ((~m2_nattra_1(F, A, k11_cat_2(B, C), D, E)) | (k13_isocat_2(A, B, C, D, E, F) = k6_isocat_1(A, k11_cat_2(B, C), B, D, E, F, k8_isocat_2(B, C)))))) | (~v2_cat_1(C))))) <=> ![A: $i] : ((~l1_cat_1(A)) | (~v2_cat_1(A)) | ![B: $i] : ((~l1_cat_1(B)) | (~v2_cat_1(B)) | ![C: $i] : ((~l1_cat_1(C)) | ![D: $i] : ((~m2_cat_1(D, A, k11_cat_2(B, C))) | ![E: $i] : ((~m2_cat_1(E, A, k11_cat_2(B, C))) | ![F: $i] : ((~m2_nattra_1(F, A, k11_cat_2(B, C), D, E)) | (k13_isocat_2(A, B, C, D, E, F) = k6_isocat_1(A, k11_cat_2(B, C), B, D, E, F, k8_isocat_2(B, C)))))) | (~v2_cat_1(C)))))),
% 18.68/18.86 inference(transitivity,[status(thm)],[6, 4])).
% 18.68/18.86 tff(8,plain,
% 18.68/18.86 (^[A: $i] : trans(monotonicity(trans(monotonicity(rewrite((v2_cat_1(A) & l1_cat_1(A)) <=> (~((~l1_cat_1(A)) | (~v2_cat_1(A))))), ((~(v2_cat_1(A) & l1_cat_1(A))) <=> (~(~((~l1_cat_1(A)) | (~v2_cat_1(A))))))), rewrite((~(~((~l1_cat_1(A)) | (~v2_cat_1(A))))) <=> ((~l1_cat_1(A)) | (~v2_cat_1(A)))), ((~(v2_cat_1(A) & l1_cat_1(A))) <=> ((~l1_cat_1(A)) | (~v2_cat_1(A))))), quant_intro(proof_bind(^[B: $i] : trans(monotonicity(trans(monotonicity(rewrite((v2_cat_1(B) & l1_cat_1(B)) <=> (~((~l1_cat_1(B)) | (~v2_cat_1(B))))), ((~(v2_cat_1(B) & l1_cat_1(B))) <=> (~(~((~l1_cat_1(B)) | (~v2_cat_1(B))))))), rewrite((~(~((~l1_cat_1(B)) | (~v2_cat_1(B))))) <=> ((~l1_cat_1(B)) | (~v2_cat_1(B)))), ((~(v2_cat_1(B) & l1_cat_1(B))) <=> ((~l1_cat_1(B)) | (~v2_cat_1(B))))), quant_intro(proof_bind(^[C: $i] : trans(monotonicity(trans(monotonicity(rewrite((v2_cat_1(C) & l1_cat_1(C)) <=> (~((~l1_cat_1(C)) | (~v2_cat_1(C))))), ((~(v2_cat_1(C) & l1_cat_1(C))) <=> (~(~((~l1_cat_1(C)) | (~v2_cat_1(C))))))), rewrite((~(~((~l1_cat_1(C)) | (~v2_cat_1(C))))) <=> ((~l1_cat_1(C)) | (~v2_cat_1(C)))), ((~(v2_cat_1(C) & l1_cat_1(C))) <=> ((~l1_cat_1(C)) | (~v2_cat_1(C))))), (((~(v2_cat_1(C) & l1_cat_1(C))) | ![D: $i] : ((~m2_cat_1(D, A, k11_cat_2(B, C))) | ![E: $i] : ((~m2_cat_1(E, A, k11_cat_2(B, C))) | ![F: $i] : ((~m2_nattra_1(F, A, k11_cat_2(B, C), D, E)) | (k13_isocat_2(A, B, C, D, E, F) = k6_isocat_1(A, k11_cat_2(B, C), B, D, E, F, k8_isocat_2(B, C))))))) <=> (((~l1_cat_1(C)) | (~v2_cat_1(C))) | ![D: $i] : ((~m2_cat_1(D, A, k11_cat_2(B, C))) | ![E: $i] : ((~m2_cat_1(E, A, k11_cat_2(B, C))) | ![F: $i] : ((~m2_nattra_1(F, A, k11_cat_2(B, C), D, E)) | (k13_isocat_2(A, B, C, D, E, F) = k6_isocat_1(A, k11_cat_2(B, C), B, D, E, F, k8_isocat_2(B, C))))))))), rewrite((((~l1_cat_1(C)) | (~v2_cat_1(C))) | ![D: $i] : ((~m2_cat_1(D, A, k11_cat_2(B, C))) | ![E: $i] : ((~m2_cat_1(E, A, k11_cat_2(B, C))) | ![F: $i] : ((~m2_nattra_1(F, A, k11_cat_2(B, C), D, E)) | (k13_isocat_2(A, B, C, D, E, F) = k6_isocat_1(A, k11_cat_2(B, C), B, D, E, F, k8_isocat_2(B, C))))))) <=> ((~l1_cat_1(C)) | ![D: $i] : ((~m2_cat_1(D, A, k11_cat_2(B, C))) | ![E: $i] : ((~m2_cat_1(E, A, k11_cat_2(B, C))) | ![F: $i] : ((~m2_nattra_1(F, A, k11_cat_2(B, C), D, E)) | (k13_isocat_2(A, B, C, D, E, F) = k6_isocat_1(A, k11_cat_2(B, C), B, D, E, F, k8_isocat_2(B, C)))))) | (~v2_cat_1(C)))), (((~(v2_cat_1(C) & l1_cat_1(C))) | ![D: $i] : ((~m2_cat_1(D, A, k11_cat_2(B, C))) | ![E: $i] : ((~m2_cat_1(E, A, k11_cat_2(B, C))) | ![F: $i] : ((~m2_nattra_1(F, A, k11_cat_2(B, C), D, E)) | (k13_isocat_2(A, B, C, D, E, F) = k6_isocat_1(A, k11_cat_2(B, C), B, D, E, F, k8_isocat_2(B, C))))))) <=> ((~l1_cat_1(C)) | ![D: $i] : ((~m2_cat_1(D, A, k11_cat_2(B, C))) | ![E: $i] : ((~m2_cat_1(E, A, k11_cat_2(B, C))) | ![F: $i] : ((~m2_nattra_1(F, A, k11_cat_2(B, C), D, E)) | (k13_isocat_2(A, B, C, D, E, F) = k6_isocat_1(A, k11_cat_2(B, C), B, D, E, F, k8_isocat_2(B, C)))))) | (~v2_cat_1(C)))))), (![C: $i] : ((~(v2_cat_1(C) & l1_cat_1(C))) | ![D: $i] : ((~m2_cat_1(D, A, k11_cat_2(B, C))) | ![E: $i] : ((~m2_cat_1(E, A, k11_cat_2(B, C))) | ![F: $i] : ((~m2_nattra_1(F, A, k11_cat_2(B, C), D, E)) | (k13_isocat_2(A, B, C, D, E, F) = k6_isocat_1(A, k11_cat_2(B, C), B, D, E, F, k8_isocat_2(B, C))))))) <=> ![C: $i] : ((~l1_cat_1(C)) | ![D: $i] : ((~m2_cat_1(D, A, k11_cat_2(B, C))) | ![E: $i] : ((~m2_cat_1(E, A, k11_cat_2(B, C))) | ![F: $i] : ((~m2_nattra_1(F, A, k11_cat_2(B, C), D, E)) | (k13_isocat_2(A, B, C, D, E, F) = k6_isocat_1(A, k11_cat_2(B, C), B, D, E, F, k8_isocat_2(B, C)))))) | (~v2_cat_1(C))))), (((~(v2_cat_1(B) & l1_cat_1(B))) | ![C: $i] : ((~(v2_cat_1(C) & l1_cat_1(C))) | ![D: $i] : ((~m2_cat_1(D, A, k11_cat_2(B, C))) | ![E: $i] : ((~m2_cat_1(E, A, k11_cat_2(B, C))) | ![F: $i] : ((~m2_nattra_1(F, A, k11_cat_2(B, C), D, E)) | (k13_isocat_2(A, B, C, D, E, F) = k6_isocat_1(A, k11_cat_2(B, C), B, D, E, F, k8_isocat_2(B, C)))))))) <=> (((~l1_cat_1(B)) | (~v2_cat_1(B))) | ![C: $i] : ((~l1_cat_1(C)) | ![D: $i] : ((~m2_cat_1(D, A, k11_cat_2(B, C))) | ![E: $i] : ((~m2_cat_1(E, A, k11_cat_2(B, C))) | ![F: $i] : ((~m2_nattra_1(F, A, k11_cat_2(B, C), D, E)) | (k13_isocat_2(A, B, C, D, E, F) = k6_isocat_1(A, k11_cat_2(B, C), B, D, E, F, k8_isocat_2(B, C)))))) | (~v2_cat_1(C)))))), rewrite((((~l1_cat_1(B)) | (~v2_cat_1(B))) | ![C: $i] : ((~l1_cat_1(C)) | ![D: $i] : ((~m2_cat_1(D, A, k11_cat_2(B, C))) | ![E: $i] : ((~m2_cat_1(E, A, k11_cat_2(B, C))) | ![F: $i] : ((~m2_nattra_1(F, A, k11_cat_2(B, C), D, E)) | (k13_isocat_2(A, B, C, D, E, F) = k6_isocat_1(A, k11_cat_2(B, C), B, D, E, F, k8_isocat_2(B, C)))))) | (~v2_cat_1(C)))) <=> ((~l1_cat_1(B)) | (~v2_cat_1(B)) | ![C: $i] : ((~l1_cat_1(C)) | ![D: $i] : ((~m2_cat_1(D, A, k11_cat_2(B, C))) | ![E: $i] : ((~m2_cat_1(E, A, k11_cat_2(B, C))) | ![F: $i] : ((~m2_nattra_1(F, A, k11_cat_2(B, C), D, E)) | (k13_isocat_2(A, B, C, D, E, F) = k6_isocat_1(A, k11_cat_2(B, C), B, D, E, F, k8_isocat_2(B, C)))))) | (~v2_cat_1(C))))), (((~(v2_cat_1(B) & l1_cat_1(B))) | ![C: $i] : ((~(v2_cat_1(C) & l1_cat_1(C))) | ![D: $i] : ((~m2_cat_1(D, A, k11_cat_2(B, C))) | ![E: $i] : ((~m2_cat_1(E, A, k11_cat_2(B, C))) | ![F: $i] : ((~m2_nattra_1(F, A, k11_cat_2(B, C), D, E)) | (k13_isocat_2(A, B, C, D, E, F) = k6_isocat_1(A, k11_cat_2(B, C), B, D, E, F, k8_isocat_2(B, C)))))))) <=> ((~l1_cat_1(B)) | (~v2_cat_1(B)) | ![C: $i] : ((~l1_cat_1(C)) | ![D: $i] : ((~m2_cat_1(D, A, k11_cat_2(B, C))) | ![E: $i] : ((~m2_cat_1(E, A, k11_cat_2(B, C))) | ![F: $i] : ((~m2_nattra_1(F, A, k11_cat_2(B, C), D, E)) | (k13_isocat_2(A, B, C, D, E, F) = k6_isocat_1(A, k11_cat_2(B, C), B, D, E, F, k8_isocat_2(B, C)))))) | (~v2_cat_1(C))))))), (![B: $i] : ((~(v2_cat_1(B) & l1_cat_1(B))) | ![C: $i] : ((~(v2_cat_1(C) & l1_cat_1(C))) | ![D: $i] : ((~m2_cat_1(D, A, k11_cat_2(B, C))) | ![E: $i] : ((~m2_cat_1(E, A, k11_cat_2(B, C))) | ![F: $i] : ((~m2_nattra_1(F, A, k11_cat_2(B, C), D, E)) | (k13_isocat_2(A, B, C, D, E, F) = k6_isocat_1(A, k11_cat_2(B, C), B, D, E, F, k8_isocat_2(B, C)))))))) <=> ![B: $i] : ((~l1_cat_1(B)) | (~v2_cat_1(B)) | ![C: $i] : ((~l1_cat_1(C)) | ![D: $i] : ((~m2_cat_1(D, A, k11_cat_2(B, C))) | ![E: $i] : ((~m2_cat_1(E, A, k11_cat_2(B, C))) | ![F: $i] : ((~m2_nattra_1(F, A, k11_cat_2(B, C), D, E)) | (k13_isocat_2(A, B, C, D, E, F) = k6_isocat_1(A, k11_cat_2(B, C), B, D, E, F, k8_isocat_2(B, C)))))) | (~v2_cat_1(C)))))), (((~(v2_cat_1(A) & l1_cat_1(A))) | ![B: $i] : ((~(v2_cat_1(B) & l1_cat_1(B))) | ![C: $i] : ((~(v2_cat_1(C) & l1_cat_1(C))) | ![D: $i] : ((~m2_cat_1(D, A, k11_cat_2(B, C))) | ![E: $i] : ((~m2_cat_1(E, A, k11_cat_2(B, C))) | ![F: $i] : ((~m2_nattra_1(F, A, k11_cat_2(B, C), D, E)) | (k13_isocat_2(A, B, C, D, E, F) = k6_isocat_1(A, k11_cat_2(B, C), B, D, E, F, k8_isocat_2(B, C))))))))) <=> (((~l1_cat_1(A)) | (~v2_cat_1(A))) | ![B: $i] : ((~l1_cat_1(B)) | (~v2_cat_1(B)) | ![C: $i] : ((~l1_cat_1(C)) | ![D: $i] : ((~m2_cat_1(D, A, k11_cat_2(B, C))) | ![E: $i] : ((~m2_cat_1(E, A, k11_cat_2(B, C))) | ![F: $i] : ((~m2_nattra_1(F, A, k11_cat_2(B, C), D, E)) | (k13_isocat_2(A, B, C, D, E, F) = k6_isocat_1(A, k11_cat_2(B, C), B, D, E, F, k8_isocat_2(B, C)))))) | (~v2_cat_1(C))))))), rewrite((((~l1_cat_1(A)) | (~v2_cat_1(A))) | ![B: $i] : ((~l1_cat_1(B)) | (~v2_cat_1(B)) | ![C: $i] : ((~l1_cat_1(C)) | ![D: $i] : ((~m2_cat_1(D, A, k11_cat_2(B, C))) | ![E: $i] : ((~m2_cat_1(E, A, k11_cat_2(B, C))) | ![F: $i] : ((~m2_nattra_1(F, A, k11_cat_2(B, C), D, E)) | (k13_isocat_2(A, B, C, D, E, F) = k6_isocat_1(A, k11_cat_2(B, C), B, D, E, F, k8_isocat_2(B, C)))))) | (~v2_cat_1(C))))) <=> ((~l1_cat_1(A)) | (~v2_cat_1(A)) | ![B: $i] : ((~l1_cat_1(B)) | (~v2_cat_1(B)) | ![C: $i] : ((~l1_cat_1(C)) | ![D: $i] : ((~m2_cat_1(D, A, k11_cat_2(B, C))) | ![E: $i] : ((~m2_cat_1(E, A, k11_cat_2(B, C))) | ![F: $i] : ((~m2_nattra_1(F, A, k11_cat_2(B, C), D, E)) | (k13_isocat_2(A, B, C, D, E, F) = k6_isocat_1(A, k11_cat_2(B, C), B, D, E, F, k8_isocat_2(B, C)))))) | (~v2_cat_1(C)))))), (((~(v2_cat_1(A) & l1_cat_1(A))) | ![B: $i] : ((~(v2_cat_1(B) & l1_cat_1(B))) | ![C: $i] : ((~(v2_cat_1(C) & l1_cat_1(C))) | ![D: $i] : ((~m2_cat_1(D, A, k11_cat_2(B, C))) | ![E: $i] : ((~m2_cat_1(E, A, k11_cat_2(B, C))) | ![F: $i] : ((~m2_nattra_1(F, A, k11_cat_2(B, C), D, E)) | (k13_isocat_2(A, B, C, D, E, F) = k6_isocat_1(A, k11_cat_2(B, C), B, D, E, F, k8_isocat_2(B, C))))))))) <=> ((~l1_cat_1(A)) | (~v2_cat_1(A)) | ![B: $i] : ((~l1_cat_1(B)) | (~v2_cat_1(B)) | ![C: $i] : ((~l1_cat_1(C)) | ![D: $i] : ((~m2_cat_1(D, A, k11_cat_2(B, C))) | ![E: $i] : ((~m2_cat_1(E, A, k11_cat_2(B, C))) | ![F: $i] : ((~m2_nattra_1(F, A, k11_cat_2(B, C), D, E)) | (k13_isocat_2(A, B, C, D, E, F) = k6_isocat_1(A, k11_cat_2(B, C), B, D, E, F, k8_isocat_2(B, C)))))) | (~v2_cat_1(C)))))))),
% 18.68/18.86 inference(bind,[status(th)],[])).
% 18.68/18.86 tff(9,plain,
% 18.68/18.86 (![A: $i] : ((~(v2_cat_1(A) & l1_cat_1(A))) | ![B: $i] : ((~(v2_cat_1(B) & l1_cat_1(B))) | ![C: $i] : ((~(v2_cat_1(C) & l1_cat_1(C))) | ![D: $i] : ((~m2_cat_1(D, A, k11_cat_2(B, C))) | ![E: $i] : ((~m2_cat_1(E, A, k11_cat_2(B, C))) | ![F: $i] : ((~m2_nattra_1(F, A, k11_cat_2(B, C), D, E)) | (k13_isocat_2(A, B, C, D, E, F) = k6_isocat_1(A, k11_cat_2(B, C), B, D, E, F, k8_isocat_2(B, C))))))))) <=> ![A: $i] : ((~l1_cat_1(A)) | (~v2_cat_1(A)) | ![B: $i] : ((~l1_cat_1(B)) | (~v2_cat_1(B)) | ![C: $i] : ((~l1_cat_1(C)) | ![D: $i] : ((~m2_cat_1(D, A, k11_cat_2(B, C))) | ![E: $i] : ((~m2_cat_1(E, A, k11_cat_2(B, C))) | ![F: $i] : ((~m2_nattra_1(F, A, k11_cat_2(B, C), D, E)) | (k13_isocat_2(A, B, C, D, E, F) = k6_isocat_1(A, k11_cat_2(B, C), B, D, E, F, k8_isocat_2(B, C)))))) | (~v2_cat_1(C)))))),
% 18.68/18.86 inference(quant_intro,[status(thm)],[8])).
% 18.68/18.86 tff(10,plain,
% 18.68/18.86 (![A: $i] : ((~(v2_cat_1(A) & l1_cat_1(A))) | ![B: $i] : ((~(v2_cat_1(B) & l1_cat_1(B))) | ![C: $i] : ((~(v2_cat_1(C) & l1_cat_1(C))) | ![D: $i] : ((~m2_cat_1(D, A, k11_cat_2(B, C))) | ![E: $i] : ((~m2_cat_1(E, A, k11_cat_2(B, C))) | ![F: $i] : ((~m2_nattra_1(F, A, k11_cat_2(B, C), D, E)) | (k13_isocat_2(A, B, C, D, E, F) = k6_isocat_1(A, k11_cat_2(B, C), B, D, E, F, k8_isocat_2(B, C))))))))) <=> ![A: $i] : ((~(v2_cat_1(A) & l1_cat_1(A))) | ![B: $i] : ((~(v2_cat_1(B) & l1_cat_1(B))) | ![C: $i] : ((~(v2_cat_1(C) & l1_cat_1(C))) | ![D: $i] : ((~m2_cat_1(D, A, k11_cat_2(B, C))) | ![E: $i] : ((~m2_cat_1(E, A, k11_cat_2(B, C))) | ![F: $i] : ((~m2_nattra_1(F, A, k11_cat_2(B, C), D, E)) | (k13_isocat_2(A, B, C, D, E, F) = k6_isocat_1(A, k11_cat_2(B, C), B, D, E, F, k8_isocat_2(B, C)))))))))),
% 18.68/18.86 inference(rewrite,[status(thm)],[])).
% 18.68/18.86 tff(11,plain,
% 18.68/18.86 (^[A: $i] : trans(monotonicity(quant_intro(proof_bind(^[B: $i] : trans(monotonicity(quant_intro(proof_bind(^[C: $i] : trans(monotonicity(quant_intro(proof_bind(^[D: $i] : trans(monotonicity(quant_intro(proof_bind(^[E: $i] : trans(monotonicity(quant_intro(proof_bind(^[F: $i] : rewrite((m2_nattra_1(F, A, k11_cat_2(B, C), D, E) => (k13_isocat_2(A, B, C, D, E, F) = k6_isocat_1(A, k11_cat_2(B, C), B, D, E, F, k8_isocat_2(B, C)))) <=> ((~m2_nattra_1(F, A, k11_cat_2(B, C), D, E)) | (k13_isocat_2(A, B, C, D, E, F) = k6_isocat_1(A, k11_cat_2(B, C), B, D, E, F, k8_isocat_2(B, C)))))), (![F: $i] : (m2_nattra_1(F, A, k11_cat_2(B, C), D, E) => (k13_isocat_2(A, B, C, D, E, F) = k6_isocat_1(A, k11_cat_2(B, C), B, D, E, F, k8_isocat_2(B, C)))) <=> ![F: $i] : ((~m2_nattra_1(F, A, k11_cat_2(B, C), D, E)) | (k13_isocat_2(A, B, C, D, E, F) = k6_isocat_1(A, k11_cat_2(B, C), B, D, E, F, k8_isocat_2(B, C)))))), ((m2_cat_1(E, A, k11_cat_2(B, C)) => ![F: $i] : (m2_nattra_1(F, A, k11_cat_2(B, C), D, E) => (k13_isocat_2(A, B, C, D, E, F) = k6_isocat_1(A, k11_cat_2(B, C), B, D, E, F, k8_isocat_2(B, C))))) <=> (m2_cat_1(E, A, k11_cat_2(B, C)) => ![F: $i] : ((~m2_nattra_1(F, A, k11_cat_2(B, C), D, E)) | (k13_isocat_2(A, B, C, D, E, F) = k6_isocat_1(A, k11_cat_2(B, C), B, D, E, F, k8_isocat_2(B, C))))))), rewrite((m2_cat_1(E, A, k11_cat_2(B, C)) => ![F: $i] : ((~m2_nattra_1(F, A, k11_cat_2(B, C), D, E)) | (k13_isocat_2(A, B, C, D, E, F) = k6_isocat_1(A, k11_cat_2(B, C), B, D, E, F, k8_isocat_2(B, C))))) <=> ((~m2_cat_1(E, A, k11_cat_2(B, C))) | ![F: $i] : ((~m2_nattra_1(F, A, k11_cat_2(B, C), D, E)) | (k13_isocat_2(A, B, C, D, E, F) = k6_isocat_1(A, k11_cat_2(B, C), B, D, E, F, k8_isocat_2(B, C)))))), ((m2_cat_1(E, A, k11_cat_2(B, C)) => ![F: $i] : (m2_nattra_1(F, A, k11_cat_2(B, C), D, E) => (k13_isocat_2(A, B, C, D, E, F) = k6_isocat_1(A, k11_cat_2(B, C), B, D, E, F, k8_isocat_2(B, C))))) <=> ((~m2_cat_1(E, A, k11_cat_2(B, C))) | ![F: $i] : ((~m2_nattra_1(F, A, k11_cat_2(B, C), D, E)) | (k13_isocat_2(A, B, C, D, E, F) = k6_isocat_1(A, k11_cat_2(B, C), B, D, E, F, k8_isocat_2(B, C)))))))), (![E: $i] : (m2_cat_1(E, A, k11_cat_2(B, C)) => ![F: $i] : (m2_nattra_1(F, A, k11_cat_2(B, C), D, E) => (k13_isocat_2(A, B, C, D, E, F) = k6_isocat_1(A, k11_cat_2(B, C), B, D, E, F, k8_isocat_2(B, C))))) <=> ![E: $i] : ((~m2_cat_1(E, A, k11_cat_2(B, C))) | ![F: $i] : ((~m2_nattra_1(F, A, k11_cat_2(B, C), D, E)) | (k13_isocat_2(A, B, C, D, E, F) = k6_isocat_1(A, k11_cat_2(B, C), B, D, E, F, k8_isocat_2(B, C))))))), ((m2_cat_1(D, A, k11_cat_2(B, C)) => ![E: $i] : (m2_cat_1(E, A, k11_cat_2(B, C)) => ![F: $i] : (m2_nattra_1(F, A, k11_cat_2(B, C), D, E) => (k13_isocat_2(A, B, C, D, E, F) = k6_isocat_1(A, k11_cat_2(B, C), B, D, E, F, k8_isocat_2(B, C)))))) <=> (m2_cat_1(D, A, k11_cat_2(B, C)) => ![E: $i] : ((~m2_cat_1(E, A, k11_cat_2(B, C))) | ![F: $i] : ((~m2_nattra_1(F, A, k11_cat_2(B, C), D, E)) | (k13_isocat_2(A, B, C, D, E, F) = k6_isocat_1(A, k11_cat_2(B, C), B, D, E, F, k8_isocat_2(B, C)))))))), rewrite((m2_cat_1(D, A, k11_cat_2(B, C)) => ![E: $i] : ((~m2_cat_1(E, A, k11_cat_2(B, C))) | ![F: $i] : ((~m2_nattra_1(F, A, k11_cat_2(B, C), D, E)) | (k13_isocat_2(A, B, C, D, E, F) = k6_isocat_1(A, k11_cat_2(B, C), B, D, E, F, k8_isocat_2(B, C)))))) <=> ((~m2_cat_1(D, A, k11_cat_2(B, C))) | ![E: $i] : ((~m2_cat_1(E, A, k11_cat_2(B, C))) | ![F: $i] : ((~m2_nattra_1(F, A, k11_cat_2(B, C), D, E)) | (k13_isocat_2(A, B, C, D, E, F) = k6_isocat_1(A, k11_cat_2(B, C), B, D, E, F, k8_isocat_2(B, C))))))), ((m2_cat_1(D, A, k11_cat_2(B, C)) => ![E: $i] : (m2_cat_1(E, A, k11_cat_2(B, C)) => ![F: $i] : (m2_nattra_1(F, A, k11_cat_2(B, C), D, E) => (k13_isocat_2(A, B, C, D, E, F) = k6_isocat_1(A, k11_cat_2(B, C), B, D, E, F, k8_isocat_2(B, C)))))) <=> ((~m2_cat_1(D, A, k11_cat_2(B, C))) | ![E: $i] : ((~m2_cat_1(E, A, k11_cat_2(B, C))) | ![F: $i] : ((~m2_nattra_1(F, A, k11_cat_2(B, C), D, E)) | (k13_isocat_2(A, B, C, D, E, F) = k6_isocat_1(A, k11_cat_2(B, C), B, D, E, F, k8_isocat_2(B, C))))))))), (![D: $i] : (m2_cat_1(D, A, k11_cat_2(B, C)) => ![E: $i] : (m2_cat_1(E, A, k11_cat_2(B, C)) => ![F: $i] : (m2_nattra_1(F, A, k11_cat_2(B, C), D, E) => (k13_isocat_2(A, B, C, D, E, F) = k6_isocat_1(A, k11_cat_2(B, C), B, D, E, F, k8_isocat_2(B, C)))))) <=> ![D: $i] : ((~m2_cat_1(D, A, k11_cat_2(B, C))) | ![E: $i] : ((~m2_cat_1(E, A, k11_cat_2(B, C))) | ![F: $i] : ((~m2_nattra_1(F, A, k11_cat_2(B, C), D, E)) | (k13_isocat_2(A, B, C, D, E, F) = k6_isocat_1(A, k11_cat_2(B, C), B, D, E, F, k8_isocat_2(B, C)))))))), (((v2_cat_1(C) & l1_cat_1(C)) => ![D: $i] : (m2_cat_1(D, A, k11_cat_2(B, C)) => ![E: $i] : (m2_cat_1(E, A, k11_cat_2(B, C)) => ![F: $i] : (m2_nattra_1(F, A, k11_cat_2(B, C), D, E) => (k13_isocat_2(A, B, C, D, E, F) = k6_isocat_1(A, k11_cat_2(B, C), B, D, E, F, k8_isocat_2(B, C))))))) <=> ((v2_cat_1(C) & l1_cat_1(C)) => ![D: $i] : ((~m2_cat_1(D, A, k11_cat_2(B, C))) | ![E: $i] : ((~m2_cat_1(E, A, k11_cat_2(B, C))) | ![F: $i] : ((~m2_nattra_1(F, A, k11_cat_2(B, C), D, E)) | (k13_isocat_2(A, B, C, D, E, F) = k6_isocat_1(A, k11_cat_2(B, C), B, D, E, F, k8_isocat_2(B, C))))))))), rewrite(((v2_cat_1(C) & l1_cat_1(C)) => ![D: $i] : ((~m2_cat_1(D, A, k11_cat_2(B, C))) | ![E: $i] : ((~m2_cat_1(E, A, k11_cat_2(B, C))) | ![F: $i] : ((~m2_nattra_1(F, A, k11_cat_2(B, C), D, E)) | (k13_isocat_2(A, B, C, D, E, F) = k6_isocat_1(A, k11_cat_2(B, C), B, D, E, F, k8_isocat_2(B, C))))))) <=> ((~(v2_cat_1(C) & l1_cat_1(C))) | ![D: $i] : ((~m2_cat_1(D, A, k11_cat_2(B, C))) | ![E: $i] : ((~m2_cat_1(E, A, k11_cat_2(B, C))) | ![F: $i] : ((~m2_nattra_1(F, A, k11_cat_2(B, C), D, E)) | (k13_isocat_2(A, B, C, D, E, F) = k6_isocat_1(A, k11_cat_2(B, C), B, D, E, F, k8_isocat_2(B, C)))))))), (((v2_cat_1(C) & l1_cat_1(C)) => ![D: $i] : (m2_cat_1(D, A, k11_cat_2(B, C)) => ![E: $i] : (m2_cat_1(E, A, k11_cat_2(B, C)) => ![F: $i] : (m2_nattra_1(F, A, k11_cat_2(B, C), D, E) => (k13_isocat_2(A, B, C, D, E, F) = k6_isocat_1(A, k11_cat_2(B, C), B, D, E, F, k8_isocat_2(B, C))))))) <=> ((~(v2_cat_1(C) & l1_cat_1(C))) | ![D: $i] : ((~m2_cat_1(D, A, k11_cat_2(B, C))) | ![E: $i] : ((~m2_cat_1(E, A, k11_cat_2(B, C))) | ![F: $i] : ((~m2_nattra_1(F, A, k11_cat_2(B, C), D, E)) | (k13_isocat_2(A, B, C, D, E, F) = k6_isocat_1(A, k11_cat_2(B, C), B, D, E, F, k8_isocat_2(B, C)))))))))), (![C: $i] : ((v2_cat_1(C) & l1_cat_1(C)) => ![D: $i] : (m2_cat_1(D, A, k11_cat_2(B, C)) => ![E: $i] : (m2_cat_1(E, A, k11_cat_2(B, C)) => ![F: $i] : (m2_nattra_1(F, A, k11_cat_2(B, C), D, E) => (k13_isocat_2(A, B, C, D, E, F) = k6_isocat_1(A, k11_cat_2(B, C), B, D, E, F, k8_isocat_2(B, C))))))) <=> ![C: $i] : ((~(v2_cat_1(C) & l1_cat_1(C))) | ![D: $i] : ((~m2_cat_1(D, A, k11_cat_2(B, C))) | ![E: $i] : ((~m2_cat_1(E, A, k11_cat_2(B, C))) | ![F: $i] : ((~m2_nattra_1(F, A, k11_cat_2(B, C), D, E)) | (k13_isocat_2(A, B, C, D, E, F) = k6_isocat_1(A, k11_cat_2(B, C), B, D, E, F, k8_isocat_2(B, C))))))))), (((v2_cat_1(B) & l1_cat_1(B)) => ![C: $i] : ((v2_cat_1(C) & l1_cat_1(C)) => ![D: $i] : (m2_cat_1(D, A, k11_cat_2(B, C)) => ![E: $i] : (m2_cat_1(E, A, k11_cat_2(B, C)) => ![F: $i] : (m2_nattra_1(F, A, k11_cat_2(B, C), D, E) => (k13_isocat_2(A, B, C, D, E, F) = k6_isocat_1(A, k11_cat_2(B, C), B, D, E, F, k8_isocat_2(B, C)))))))) <=> ((v2_cat_1(B) & l1_cat_1(B)) => ![C: $i] : ((~(v2_cat_1(C) & l1_cat_1(C))) | ![D: $i] : ((~m2_cat_1(D, A, k11_cat_2(B, C))) | ![E: $i] : ((~m2_cat_1(E, A, k11_cat_2(B, C))) | ![F: $i] : ((~m2_nattra_1(F, A, k11_cat_2(B, C), D, E)) | (k13_isocat_2(A, B, C, D, E, F) = k6_isocat_1(A, k11_cat_2(B, C), B, D, E, F, k8_isocat_2(B, C)))))))))), rewrite(((v2_cat_1(B) & l1_cat_1(B)) => ![C: $i] : ((~(v2_cat_1(C) & l1_cat_1(C))) | ![D: $i] : ((~m2_cat_1(D, A, k11_cat_2(B, C))) | ![E: $i] : ((~m2_cat_1(E, A, k11_cat_2(B, C))) | ![F: $i] : ((~m2_nattra_1(F, A, k11_cat_2(B, C), D, E)) | (k13_isocat_2(A, B, C, D, E, F) = k6_isocat_1(A, k11_cat_2(B, C), B, D, E, F, k8_isocat_2(B, C)))))))) <=> ((~(v2_cat_1(B) & l1_cat_1(B))) | ![C: $i] : ((~(v2_cat_1(C) & l1_cat_1(C))) | ![D: $i] : ((~m2_cat_1(D, A, k11_cat_2(B, C))) | ![E: $i] : ((~m2_cat_1(E, A, k11_cat_2(B, C))) | ![F: $i] : ((~m2_nattra_1(F, A, k11_cat_2(B, C), D, E)) | (k13_isocat_2(A, B, C, D, E, F) = k6_isocat_1(A, k11_cat_2(B, C), B, D, E, F, k8_isocat_2(B, C))))))))), (((v2_cat_1(B) & l1_cat_1(B)) => ![C: $i] : ((v2_cat_1(C) & l1_cat_1(C)) => ![D: $i] : (m2_cat_1(D, A, k11_cat_2(B, C)) => ![E: $i] : (m2_cat_1(E, A, k11_cat_2(B, C)) => ![F: $i] : (m2_nattra_1(F, A, k11_cat_2(B, C), D, E) => (k13_isocat_2(A, B, C, D, E, F) = k6_isocat_1(A, k11_cat_2(B, C), B, D, E, F, k8_isocat_2(B, C)))))))) <=> ((~(v2_cat_1(B) & l1_cat_1(B))) | ![C: $i] : ((~(v2_cat_1(C) & l1_cat_1(C))) | ![D: $i] : ((~m2_cat_1(D, A, k11_cat_2(B, C))) | ![E: $i] : ((~m2_cat_1(E, A, k11_cat_2(B, C))) | ![F: $i] : ((~m2_nattra_1(F, A, k11_cat_2(B, C), D, E)) | (k13_isocat_2(A, B, C, D, E, F) = k6_isocat_1(A, k11_cat_2(B, C), B, D, E, F, k8_isocat_2(B, C))))))))))), (![B: $i] : ((v2_cat_1(B) & l1_cat_1(B)) => ![C: $i] : ((v2_cat_1(C) & l1_cat_1(C)) => ![D: $i] : (m2_cat_1(D, A, k11_cat_2(B, C)) => ![E: $i] : (m2_cat_1(E, A, k11_cat_2(B, C)) => ![F: $i] : (m2_nattra_1(F, A, k11_cat_2(B, C), D, E) => (k13_isocat_2(A, B, C, D, E, F) = k6_isocat_1(A, k11_cat_2(B, C), B, D, E, F, k8_isocat_2(B, C)))))))) <=> ![B: $i] : ((~(v2_cat_1(B) & l1_cat_1(B))) | ![C: $i] : ((~(v2_cat_1(C) & l1_cat_1(C))) | ![D: $i] : ((~m2_cat_1(D, A, k11_cat_2(B, C))) | ![E: $i] : ((~m2_cat_1(E, A, k11_cat_2(B, C))) | ![F: $i] : ((~m2_nattra_1(F, A, k11_cat_2(B, C), D, E)) | (k13_isocat_2(A, B, C, D, E, F) = k6_isocat_1(A, k11_cat_2(B, C), B, D, E, F, k8_isocat_2(B, C)))))))))), (((v2_cat_1(A) & l1_cat_1(A)) => ![B: $i] : ((v2_cat_1(B) & l1_cat_1(B)) => ![C: $i] : ((v2_cat_1(C) & l1_cat_1(C)) => ![D: $i] : (m2_cat_1(D, A, k11_cat_2(B, C)) => ![E: $i] : (m2_cat_1(E, A, k11_cat_2(B, C)) => ![F: $i] : (m2_nattra_1(F, A, k11_cat_2(B, C), D, E) => (k13_isocat_2(A, B, C, D, E, F) = k6_isocat_1(A, k11_cat_2(B, C), B, D, E, F, k8_isocat_2(B, C))))))))) <=> ((v2_cat_1(A) & l1_cat_1(A)) => ![B: $i] : ((~(v2_cat_1(B) & l1_cat_1(B))) | ![C: $i] : ((~(v2_cat_1(C) & l1_cat_1(C))) | ![D: $i] : ((~m2_cat_1(D, A, k11_cat_2(B, C))) | ![E: $i] : ((~m2_cat_1(E, A, k11_cat_2(B, C))) | ![F: $i] : ((~m2_nattra_1(F, A, k11_cat_2(B, C), D, E)) | (k13_isocat_2(A, B, C, D, E, F) = k6_isocat_1(A, k11_cat_2(B, C), B, D, E, F, k8_isocat_2(B, C))))))))))), rewrite(((v2_cat_1(A) & l1_cat_1(A)) => ![B: $i] : ((~(v2_cat_1(B) & l1_cat_1(B))) | ![C: $i] : ((~(v2_cat_1(C) & l1_cat_1(C))) | ![D: $i] : ((~m2_cat_1(D, A, k11_cat_2(B, C))) | ![E: $i] : ((~m2_cat_1(E, A, k11_cat_2(B, C))) | ![F: $i] : ((~m2_nattra_1(F, A, k11_cat_2(B, C), D, E)) | (k13_isocat_2(A, B, C, D, E, F) = k6_isocat_1(A, k11_cat_2(B, C), B, D, E, F, k8_isocat_2(B, C))))))))) <=> ((~(v2_cat_1(A) & l1_cat_1(A))) | ![B: $i] : ((~(v2_cat_1(B) & l1_cat_1(B))) | ![C: $i] : ((~(v2_cat_1(C) & l1_cat_1(C))) | ![D: $i] : ((~m2_cat_1(D, A, k11_cat_2(B, C))) | ![E: $i] : ((~m2_cat_1(E, A, k11_cat_2(B, C))) | ![F: $i] : ((~m2_nattra_1(F, A, k11_cat_2(B, C), D, E)) | (k13_isocat_2(A, B, C, D, E, F) = k6_isocat_1(A, k11_cat_2(B, C), B, D, E, F, k8_isocat_2(B, C)))))))))), (((v2_cat_1(A) & l1_cat_1(A)) => ![B: $i] : ((v2_cat_1(B) & l1_cat_1(B)) => ![C: $i] : ((v2_cat_1(C) & l1_cat_1(C)) => ![D: $i] : (m2_cat_1(D, A, k11_cat_2(B, C)) => ![E: $i] : (m2_cat_1(E, A, k11_cat_2(B, C)) => ![F: $i] : (m2_nattra_1(F, A, k11_cat_2(B, C), D, E) => (k13_isocat_2(A, B, C, D, E, F) = k6_isocat_1(A, k11_cat_2(B, C), B, D, E, F, k8_isocat_2(B, C))))))))) <=> ((~(v2_cat_1(A) & l1_cat_1(A))) | ![B: $i] : ((~(v2_cat_1(B) & l1_cat_1(B))) | ![C: $i] : ((~(v2_cat_1(C) & l1_cat_1(C))) | ![D: $i] : ((~m2_cat_1(D, A, k11_cat_2(B, C))) | ![E: $i] : ((~m2_cat_1(E, A, k11_cat_2(B, C))) | ![F: $i] : ((~m2_nattra_1(F, A, k11_cat_2(B, C), D, E)) | (k13_isocat_2(A, B, C, D, E, F) = k6_isocat_1(A, k11_cat_2(B, C), B, D, E, F, k8_isocat_2(B, C)))))))))))),
% 18.68/18.87 inference(bind,[status(th)],[])).
% 18.68/18.87 tff(12,plain,
% 18.68/18.87 (![A: $i] : ((v2_cat_1(A) & l1_cat_1(A)) => ![B: $i] : ((v2_cat_1(B) & l1_cat_1(B)) => ![C: $i] : ((v2_cat_1(C) & l1_cat_1(C)) => ![D: $i] : (m2_cat_1(D, A, k11_cat_2(B, C)) => ![E: $i] : (m2_cat_1(E, A, k11_cat_2(B, C)) => ![F: $i] : (m2_nattra_1(F, A, k11_cat_2(B, C), D, E) => (k13_isocat_2(A, B, C, D, E, F) = k6_isocat_1(A, k11_cat_2(B, C), B, D, E, F, k8_isocat_2(B, C))))))))) <=> ![A: $i] : ((~(v2_cat_1(A) & l1_cat_1(A))) | ![B: $i] : ((~(v2_cat_1(B) & l1_cat_1(B))) | ![C: $i] : ((~(v2_cat_1(C) & l1_cat_1(C))) | ![D: $i] : ((~m2_cat_1(D, A, k11_cat_2(B, C))) | ![E: $i] : ((~m2_cat_1(E, A, k11_cat_2(B, C))) | ![F: $i] : ((~m2_nattra_1(F, A, k11_cat_2(B, C), D, E)) | (k13_isocat_2(A, B, C, D, E, F) = k6_isocat_1(A, k11_cat_2(B, C), B, D, E, F, k8_isocat_2(B, C)))))))))),
% 18.68/18.87 inference(quant_intro,[status(thm)],[11])).
% 18.68/18.87 tff(13,axiom,(![A: $i] : ((v2_cat_1(A) & l1_cat_1(A)) => ![B: $i] : ((v2_cat_1(B) & l1_cat_1(B)) => ![C: $i] : ((v2_cat_1(C) & l1_cat_1(C)) => ![D: $i] : (m2_cat_1(D, A, k11_cat_2(B, C)) => ![E: $i] : (m2_cat_1(E, A, k11_cat_2(B, C)) => ![F: $i] : (m2_nattra_1(F, A, k11_cat_2(B, C), D, E) => (k13_isocat_2(A, B, C, D, E, F) = k6_isocat_1(A, k11_cat_2(B, C), B, D, E, F, k8_isocat_2(B, C)))))))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','d9_isocat_2')).
% 18.68/18.87 tff(14,plain,
% 18.68/18.87 (![A: $i] : ((~(v2_cat_1(A) & l1_cat_1(A))) | ![B: $i] : ((~(v2_cat_1(B) & l1_cat_1(B))) | ![C: $i] : ((~(v2_cat_1(C) & l1_cat_1(C))) | ![D: $i] : ((~m2_cat_1(D, A, k11_cat_2(B, C))) | ![E: $i] : ((~m2_cat_1(E, A, k11_cat_2(B, C))) | ![F: $i] : ((~m2_nattra_1(F, A, k11_cat_2(B, C), D, E)) | (k13_isocat_2(A, B, C, D, E, F) = k6_isocat_1(A, k11_cat_2(B, C), B, D, E, F, k8_isocat_2(B, C)))))))))),
% 18.68/18.87 inference(modus_ponens,[status(thm)],[13, 12])).
% 18.68/18.87 tff(15,plain,
% 18.68/18.87 (![A: $i] : ((~(v2_cat_1(A) & l1_cat_1(A))) | ![B: $i] : ((~(v2_cat_1(B) & l1_cat_1(B))) | ![C: $i] : ((~(v2_cat_1(C) & l1_cat_1(C))) | ![D: $i] : ((~m2_cat_1(D, A, k11_cat_2(B, C))) | ![E: $i] : ((~m2_cat_1(E, A, k11_cat_2(B, C))) | ![F: $i] : ((~m2_nattra_1(F, A, k11_cat_2(B, C), D, E)) | (k13_isocat_2(A, B, C, D, E, F) = k6_isocat_1(A, k11_cat_2(B, C), B, D, E, F, k8_isocat_2(B, C)))))))))),
% 18.68/18.87 inference(modus_ponens,[status(thm)],[14, 10])).
% 18.68/18.87 tff(16,plain,(
% 18.68/18.87 ![A: $i] : ((~(v2_cat_1(A) & l1_cat_1(A))) | ![B: $i] : ((~(v2_cat_1(B) & l1_cat_1(B))) | ![C: $i] : ((~(v2_cat_1(C) & l1_cat_1(C))) | ![D: $i] : ((~m2_cat_1(D, A, k11_cat_2(B, C))) | ![E: $i] : ((~m2_cat_1(E, A, k11_cat_2(B, C))) | ![F: $i] : ((~m2_nattra_1(F, A, k11_cat_2(B, C), D, E)) | (k13_isocat_2(A, B, C, D, E, F) = k6_isocat_1(A, k11_cat_2(B, C), B, D, E, F, k8_isocat_2(B, C)))))))))),
% 18.68/18.87 inference(skolemize,[status(sab)],[15])).
% 18.68/18.87 tff(17,plain,
% 18.68/18.87 (![A: $i] : ((~l1_cat_1(A)) | (~v2_cat_1(A)) | ![B: $i] : ((~l1_cat_1(B)) | (~v2_cat_1(B)) | ![C: $i] : ((~l1_cat_1(C)) | ![D: $i] : ((~m2_cat_1(D, A, k11_cat_2(B, C))) | ![E: $i] : ((~m2_cat_1(E, A, k11_cat_2(B, C))) | ![F: $i] : ((~m2_nattra_1(F, A, k11_cat_2(B, C), D, E)) | (k13_isocat_2(A, B, C, D, E, F) = k6_isocat_1(A, k11_cat_2(B, C), B, D, E, F, k8_isocat_2(B, C)))))) | (~v2_cat_1(C)))))),
% 18.68/18.87 inference(modus_ponens,[status(thm)],[16, 9])).
% 18.68/18.87 tff(18,plain,
% 18.68/18.87 (![A: $i] : ((~l1_cat_1(A)) | (~v2_cat_1(A)) | ![B: $i] : ((~l1_cat_1(B)) | (~v2_cat_1(B)) | ![C: $i] : ((~l1_cat_1(C)) | ![D: $i] : ((~m2_cat_1(D, A, k11_cat_2(B, C))) | ![E: $i] : ((~m2_cat_1(E, A, k11_cat_2(B, C))) | ![F: $i] : ((~m2_nattra_1(F, A, k11_cat_2(B, C), D, E)) | (k13_isocat_2(A, B, C, D, E, F) = k6_isocat_1(A, k11_cat_2(B, C), B, D, E, F, k8_isocat_2(B, C)))))) | (~v2_cat_1(C)))))),
% 18.68/18.87 inference(modus_ponens,[status(thm)],[17, 7])).
% 18.68/18.87 tff(19,plain,
% 18.68/18.87 (![A: $i] : ((~l1_cat_1(A)) | (~v2_cat_1(A)) | ![B: $i] : ((~l1_cat_1(B)) | (~v2_cat_1(B)) | ![C: $i] : ((~l1_cat_1(C)) | (~v2_cat_1(C)) | ![D: $i] : ((~m2_cat_1(D, A, k11_cat_2(B, C))) | ![E: $i] : ((~m2_cat_1(E, A, k11_cat_2(B, C))) | ![F: $i] : ((~m2_nattra_1(F, A, k11_cat_2(B, C), D, E)) | (k13_isocat_2(A, B, C, D, E, F) = k6_isocat_1(A, k11_cat_2(B, C), B, D, E, F, k8_isocat_2(B, C)))))))))),
% 18.68/18.87 inference(modus_ponens,[status(thm)],[18, 2])).
% 18.68/18.87 tff(20,plain,
% 18.68/18.87 (((v2_cat_1(A!0) & l1_cat_1(A!0)) & (v2_cat_1(B!1) & l1_cat_1(B!1) & v2_cat_1(C!2) & l1_cat_1(C!2) & m2_cat_1(D!3, A!0, k11_cat_2(B!1, C!2)) & m2_cat_1(E!4, A!0, k11_cat_2(B!1, C!2)) & m2_nattra_1(G!6, A!0, k11_cat_2(B!1, C!2), D!3, E!4) & (~((~m2_nattra_1(H!7, A!0, k11_cat_2(B!1, C!2), E!4, F!5)) | (r4_nattra_1(u1_cat_1(A!0), u2_cat_1(B!1), u1_cat_1(A!0), u2_cat_1(B!1), k13_isocat_2(A!0, B!1, C!2, D!3, F!5, k8_nattra_1(A!0, k11_cat_2(B!1, C!2), D!3, E!4, F!5, G!6, H!7)), k8_nattra_1(A!0, B!1, k11_isocat_2(A!0, B!1, C!2, D!3), k11_isocat_2(A!0, B!1, C!2, E!4), k11_isocat_2(A!0, B!1, C!2, F!5), k13_isocat_2(A!0, B!1, C!2, D!3, E!4, G!6), k13_isocat_2(A!0, B!1, C!2, E!4, F!5, H!7))) & r4_nattra_1(u1_cat_1(A!0), u2_cat_1(C!2), u1_cat_1(A!0), u2_cat_1(C!2), k14_isocat_2(A!0, B!1, C!2, D!3, F!5, k8_nattra_1(A!0, k11_cat_2(B!1, C!2), D!3, E!4, F!5, G!6, H!7)), k8_nattra_1(A!0, C!2, k12_isocat_2(A!0, B!1, C!2, D!3), k12_isocat_2(A!0, B!1, C!2, E!4), k12_isocat_2(A!0, B!1, C!2, F!5), k14_isocat_2(A!0, B!1, C!2, D!3, E!4, G!6), k14_isocat_2(A!0, B!1, C!2, E!4, F!5, H!7)))))) & r2_nattra_1(A!0, k11_cat_2(B!1, C!2), D!3, E!4) & r2_nattra_1(A!0, k11_cat_2(B!1, C!2), E!4, F!5) & m2_cat_1(F!5, A!0, k11_cat_2(B!1, C!2)))) <=> (v2_cat_1(A!0) & l1_cat_1(A!0) & v2_cat_1(B!1) & l1_cat_1(B!1) & v2_cat_1(C!2) & l1_cat_1(C!2) & m2_cat_1(D!3, A!0, k11_cat_2(B!1, C!2)) & m2_cat_1(E!4, A!0, k11_cat_2(B!1, C!2)) & m2_nattra_1(G!6, A!0, k11_cat_2(B!1, C!2), D!3, E!4) & (~((~m2_nattra_1(H!7, A!0, k11_cat_2(B!1, C!2), E!4, F!5)) | (r4_nattra_1(u1_cat_1(A!0), u2_cat_1(B!1), u1_cat_1(A!0), u2_cat_1(B!1), k13_isocat_2(A!0, B!1, C!2, D!3, F!5, k8_nattra_1(A!0, k11_cat_2(B!1, C!2), D!3, E!4, F!5, G!6, H!7)), k8_nattra_1(A!0, B!1, k11_isocat_2(A!0, B!1, C!2, D!3), k11_isocat_2(A!0, B!1, C!2, E!4), k11_isocat_2(A!0, B!1, C!2, F!5), k13_isocat_2(A!0, B!1, C!2, D!3, E!4, G!6), k13_isocat_2(A!0, B!1, C!2, E!4, F!5, H!7))) & r4_nattra_1(u1_cat_1(A!0), u2_cat_1(C!2), u1_cat_1(A!0), u2_cat_1(C!2), k14_isocat_2(A!0, B!1, C!2, D!3, F!5, k8_nattra_1(A!0, k11_cat_2(B!1, C!2), D!3, E!4, F!5, G!6, H!7)), k8_nattra_1(A!0, C!2, k12_isocat_2(A!0, B!1, C!2, D!3), k12_isocat_2(A!0, B!1, C!2, E!4), k12_isocat_2(A!0, B!1, C!2, F!5), k14_isocat_2(A!0, B!1, C!2, D!3, E!4, G!6), k14_isocat_2(A!0, B!1, C!2, E!4, F!5, H!7)))))) & r2_nattra_1(A!0, k11_cat_2(B!1, C!2), D!3, E!4) & r2_nattra_1(A!0, k11_cat_2(B!1, C!2), E!4, F!5) & m2_cat_1(F!5, A!0, k11_cat_2(B!1, C!2)))),
% 18.68/18.87 inference(rewrite,[status(thm)],[])).
% 18.68/18.87 tff(21,plain,
% 18.68/18.87 (((v2_cat_1(B!1) & l1_cat_1(B!1)) & (v2_cat_1(C!2) & l1_cat_1(C!2) & m2_cat_1(D!3, A!0, k11_cat_2(B!1, C!2)) & m2_cat_1(E!4, A!0, k11_cat_2(B!1, C!2)) & m2_nattra_1(G!6, A!0, k11_cat_2(B!1, C!2), D!3, E!4) & (~((~m2_nattra_1(H!7, A!0, k11_cat_2(B!1, C!2), E!4, F!5)) | (r4_nattra_1(u1_cat_1(A!0), u2_cat_1(B!1), u1_cat_1(A!0), u2_cat_1(B!1), k13_isocat_2(A!0, B!1, C!2, D!3, F!5, k8_nattra_1(A!0, k11_cat_2(B!1, C!2), D!3, E!4, F!5, G!6, H!7)), k8_nattra_1(A!0, B!1, k11_isocat_2(A!0, B!1, C!2, D!3), k11_isocat_2(A!0, B!1, C!2, E!4), k11_isocat_2(A!0, B!1, C!2, F!5), k13_isocat_2(A!0, B!1, C!2, D!3, E!4, G!6), k13_isocat_2(A!0, B!1, C!2, E!4, F!5, H!7))) & r4_nattra_1(u1_cat_1(A!0), u2_cat_1(C!2), u1_cat_1(A!0), u2_cat_1(C!2), k14_isocat_2(A!0, B!1, C!2, D!3, F!5, k8_nattra_1(A!0, k11_cat_2(B!1, C!2), D!3, E!4, F!5, G!6, H!7)), k8_nattra_1(A!0, C!2, k12_isocat_2(A!0, B!1, C!2, D!3), k12_isocat_2(A!0, B!1, C!2, E!4), k12_isocat_2(A!0, B!1, C!2, F!5), k14_isocat_2(A!0, B!1, C!2, D!3, E!4, G!6), k14_isocat_2(A!0, B!1, C!2, E!4, F!5, H!7)))))) & r2_nattra_1(A!0, k11_cat_2(B!1, C!2), D!3, E!4) & r2_nattra_1(A!0, k11_cat_2(B!1, C!2), E!4, F!5) & m2_cat_1(F!5, A!0, k11_cat_2(B!1, C!2)))) <=> (v2_cat_1(B!1) & l1_cat_1(B!1) & v2_cat_1(C!2) & l1_cat_1(C!2) & m2_cat_1(D!3, A!0, k11_cat_2(B!1, C!2)) & m2_cat_1(E!4, A!0, k11_cat_2(B!1, C!2)) & m2_nattra_1(G!6, A!0, k11_cat_2(B!1, C!2), D!3, E!4) & (~((~m2_nattra_1(H!7, A!0, k11_cat_2(B!1, C!2), E!4, F!5)) | (r4_nattra_1(u1_cat_1(A!0), u2_cat_1(B!1), u1_cat_1(A!0), u2_cat_1(B!1), k13_isocat_2(A!0, B!1, C!2, D!3, F!5, k8_nattra_1(A!0, k11_cat_2(B!1, C!2), D!3, E!4, F!5, G!6, H!7)), k8_nattra_1(A!0, B!1, k11_isocat_2(A!0, B!1, C!2, D!3), k11_isocat_2(A!0, B!1, C!2, E!4), k11_isocat_2(A!0, B!1, C!2, F!5), k13_isocat_2(A!0, B!1, C!2, D!3, E!4, G!6), k13_isocat_2(A!0, B!1, C!2, E!4, F!5, H!7))) & r4_nattra_1(u1_cat_1(A!0), u2_cat_1(C!2), u1_cat_1(A!0), u2_cat_1(C!2), k14_isocat_2(A!0, B!1, C!2, D!3, F!5, k8_nattra_1(A!0, k11_cat_2(B!1, C!2), D!3, E!4, F!5, G!6, H!7)), k8_nattra_1(A!0, C!2, k12_isocat_2(A!0, B!1, C!2, D!3), k12_isocat_2(A!0, B!1, C!2, E!4), k12_isocat_2(A!0, B!1, C!2, F!5), k14_isocat_2(A!0, B!1, C!2, D!3, E!4, G!6), k14_isocat_2(A!0, B!1, C!2, E!4, F!5, H!7)))))) & r2_nattra_1(A!0, k11_cat_2(B!1, C!2), D!3, E!4) & r2_nattra_1(A!0, k11_cat_2(B!1, C!2), E!4, F!5) & m2_cat_1(F!5, A!0, k11_cat_2(B!1, C!2)))),
% 18.68/18.87 inference(rewrite,[status(thm)],[])).
% 18.68/18.87 tff(22,plain,
% 18.68/18.87 (((v2_cat_1(C!2) & l1_cat_1(C!2)) & (m2_cat_1(D!3, A!0, k11_cat_2(B!1, C!2)) & m2_cat_1(E!4, A!0, k11_cat_2(B!1, C!2)) & m2_nattra_1(G!6, A!0, k11_cat_2(B!1, C!2), D!3, E!4) & (~((~m2_nattra_1(H!7, A!0, k11_cat_2(B!1, C!2), E!4, F!5)) | (r4_nattra_1(u1_cat_1(A!0), u2_cat_1(B!1), u1_cat_1(A!0), u2_cat_1(B!1), k13_isocat_2(A!0, B!1, C!2, D!3, F!5, k8_nattra_1(A!0, k11_cat_2(B!1, C!2), D!3, E!4, F!5, G!6, H!7)), k8_nattra_1(A!0, B!1, k11_isocat_2(A!0, B!1, C!2, D!3), k11_isocat_2(A!0, B!1, C!2, E!4), k11_isocat_2(A!0, B!1, C!2, F!5), k13_isocat_2(A!0, B!1, C!2, D!3, E!4, G!6), k13_isocat_2(A!0, B!1, C!2, E!4, F!5, H!7))) & r4_nattra_1(u1_cat_1(A!0), u2_cat_1(C!2), u1_cat_1(A!0), u2_cat_1(C!2), k14_isocat_2(A!0, B!1, C!2, D!3, F!5, k8_nattra_1(A!0, k11_cat_2(B!1, C!2), D!3, E!4, F!5, G!6, H!7)), k8_nattra_1(A!0, C!2, k12_isocat_2(A!0, B!1, C!2, D!3), k12_isocat_2(A!0, B!1, C!2, E!4), k12_isocat_2(A!0, B!1, C!2, F!5), k14_isocat_2(A!0, B!1, C!2, D!3, E!4, G!6), k14_isocat_2(A!0, B!1, C!2, E!4, F!5, H!7)))))) & r2_nattra_1(A!0, k11_cat_2(B!1, C!2), D!3, E!4) & r2_nattra_1(A!0, k11_cat_2(B!1, C!2), E!4, F!5) & m2_cat_1(F!5, A!0, k11_cat_2(B!1, C!2)))) <=> (v2_cat_1(C!2) & l1_cat_1(C!2) & m2_cat_1(D!3, A!0, k11_cat_2(B!1, C!2)) & m2_cat_1(E!4, A!0, k11_cat_2(B!1, C!2)) & m2_nattra_1(G!6, A!0, k11_cat_2(B!1, C!2), D!3, E!4) & (~((~m2_nattra_1(H!7, A!0, k11_cat_2(B!1, C!2), E!4, F!5)) | (r4_nattra_1(u1_cat_1(A!0), u2_cat_1(B!1), u1_cat_1(A!0), u2_cat_1(B!1), k13_isocat_2(A!0, B!1, C!2, D!3, F!5, k8_nattra_1(A!0, k11_cat_2(B!1, C!2), D!3, E!4, F!5, G!6, H!7)), k8_nattra_1(A!0, B!1, k11_isocat_2(A!0, B!1, C!2, D!3), k11_isocat_2(A!0, B!1, C!2, E!4), k11_isocat_2(A!0, B!1, C!2, F!5), k13_isocat_2(A!0, B!1, C!2, D!3, E!4, G!6), k13_isocat_2(A!0, B!1, C!2, E!4, F!5, H!7))) & r4_nattra_1(u1_cat_1(A!0), u2_cat_1(C!2), u1_cat_1(A!0), u2_cat_1(C!2), k14_isocat_2(A!0, B!1, C!2, D!3, F!5, k8_nattra_1(A!0, k11_cat_2(B!1, C!2), D!3, E!4, F!5, G!6, H!7)), k8_nattra_1(A!0, C!2, k12_isocat_2(A!0, B!1, C!2, D!3), k12_isocat_2(A!0, B!1, C!2, E!4), k12_isocat_2(A!0, B!1, C!2, F!5), k14_isocat_2(A!0, B!1, C!2, D!3, E!4, G!6), k14_isocat_2(A!0, B!1, C!2, E!4, F!5, H!7)))))) & r2_nattra_1(A!0, k11_cat_2(B!1, C!2), D!3, E!4) & r2_nattra_1(A!0, k11_cat_2(B!1, C!2), E!4, F!5) & m2_cat_1(F!5, A!0, k11_cat_2(B!1, C!2)))),
% 18.68/18.87 inference(rewrite,[status(thm)],[])).
% 18.68/18.87 tff(23,plain,
% 18.68/18.87 ((m2_cat_1(D!3, A!0, k11_cat_2(B!1, C!2)) & (m2_cat_1(E!4, A!0, k11_cat_2(B!1, C!2)) & m2_nattra_1(G!6, A!0, k11_cat_2(B!1, C!2), D!3, E!4) & (~((~m2_nattra_1(H!7, A!0, k11_cat_2(B!1, C!2), E!4, F!5)) | (r4_nattra_1(u1_cat_1(A!0), u2_cat_1(B!1), u1_cat_1(A!0), u2_cat_1(B!1), k13_isocat_2(A!0, B!1, C!2, D!3, F!5, k8_nattra_1(A!0, k11_cat_2(B!1, C!2), D!3, E!4, F!5, G!6, H!7)), k8_nattra_1(A!0, B!1, k11_isocat_2(A!0, B!1, C!2, D!3), k11_isocat_2(A!0, B!1, C!2, E!4), k11_isocat_2(A!0, B!1, C!2, F!5), k13_isocat_2(A!0, B!1, C!2, D!3, E!4, G!6), k13_isocat_2(A!0, B!1, C!2, E!4, F!5, H!7))) & r4_nattra_1(u1_cat_1(A!0), u2_cat_1(C!2), u1_cat_1(A!0), u2_cat_1(C!2), k14_isocat_2(A!0, B!1, C!2, D!3, F!5, k8_nattra_1(A!0, k11_cat_2(B!1, C!2), D!3, E!4, F!5, G!6, H!7)), k8_nattra_1(A!0, C!2, k12_isocat_2(A!0, B!1, C!2, D!3), k12_isocat_2(A!0, B!1, C!2, E!4), k12_isocat_2(A!0, B!1, C!2, F!5), k14_isocat_2(A!0, B!1, C!2, D!3, E!4, G!6), k14_isocat_2(A!0, B!1, C!2, E!4, F!5, H!7)))))) & r2_nattra_1(A!0, k11_cat_2(B!1, C!2), D!3, E!4) & r2_nattra_1(A!0, k11_cat_2(B!1, C!2), E!4, F!5) & m2_cat_1(F!5, A!0, k11_cat_2(B!1, C!2)))) <=> (m2_cat_1(D!3, A!0, k11_cat_2(B!1, C!2)) & m2_cat_1(E!4, A!0, k11_cat_2(B!1, C!2)) & m2_nattra_1(G!6, A!0, k11_cat_2(B!1, C!2), D!3, E!4) & (~((~m2_nattra_1(H!7, A!0, k11_cat_2(B!1, C!2), E!4, F!5)) | (r4_nattra_1(u1_cat_1(A!0), u2_cat_1(B!1), u1_cat_1(A!0), u2_cat_1(B!1), k13_isocat_2(A!0, B!1, C!2, D!3, F!5, k8_nattra_1(A!0, k11_cat_2(B!1, C!2), D!3, E!4, F!5, G!6, H!7)), k8_nattra_1(A!0, B!1, k11_isocat_2(A!0, B!1, C!2, D!3), k11_isocat_2(A!0, B!1, C!2, E!4), k11_isocat_2(A!0, B!1, C!2, F!5), k13_isocat_2(A!0, B!1, C!2, D!3, E!4, G!6), k13_isocat_2(A!0, B!1, C!2, E!4, F!5, H!7))) & r4_nattra_1(u1_cat_1(A!0), u2_cat_1(C!2), u1_cat_1(A!0), u2_cat_1(C!2), k14_isocat_2(A!0, B!1, C!2, D!3, F!5, k8_nattra_1(A!0, k11_cat_2(B!1, C!2), D!3, E!4, F!5, G!6, H!7)), k8_nattra_1(A!0, C!2, k12_isocat_2(A!0, B!1, C!2, D!3), k12_isocat_2(A!0, B!1, C!2, E!4), k12_isocat_2(A!0, B!1, C!2, F!5), k14_isocat_2(A!0, B!1, C!2, D!3, E!4, G!6), k14_isocat_2(A!0, B!1, C!2, E!4, F!5, H!7)))))) & r2_nattra_1(A!0, k11_cat_2(B!1, C!2), D!3, E!4) & r2_nattra_1(A!0, k11_cat_2(B!1, C!2), E!4, F!5) & m2_cat_1(F!5, A!0, k11_cat_2(B!1, C!2)))),
% 18.68/18.87 inference(rewrite,[status(thm)],[])).
% 18.68/18.87 tff(24,plain,
% 18.68/18.87 ((m2_cat_1(E!4, A!0, k11_cat_2(B!1, C!2)) & (m2_nattra_1(G!6, A!0, k11_cat_2(B!1, C!2), D!3, E!4) & (~((~m2_nattra_1(H!7, A!0, k11_cat_2(B!1, C!2), E!4, F!5)) | (r4_nattra_1(u1_cat_1(A!0), u2_cat_1(B!1), u1_cat_1(A!0), u2_cat_1(B!1), k13_isocat_2(A!0, B!1, C!2, D!3, F!5, k8_nattra_1(A!0, k11_cat_2(B!1, C!2), D!3, E!4, F!5, G!6, H!7)), k8_nattra_1(A!0, B!1, k11_isocat_2(A!0, B!1, C!2, D!3), k11_isocat_2(A!0, B!1, C!2, E!4), k11_isocat_2(A!0, B!1, C!2, F!5), k13_isocat_2(A!0, B!1, C!2, D!3, E!4, G!6), k13_isocat_2(A!0, B!1, C!2, E!4, F!5, H!7))) & r4_nattra_1(u1_cat_1(A!0), u2_cat_1(C!2), u1_cat_1(A!0), u2_cat_1(C!2), k14_isocat_2(A!0, B!1, C!2, D!3, F!5, k8_nattra_1(A!0, k11_cat_2(B!1, C!2), D!3, E!4, F!5, G!6, H!7)), k8_nattra_1(A!0, C!2, k12_isocat_2(A!0, B!1, C!2, D!3), k12_isocat_2(A!0, B!1, C!2, E!4), k12_isocat_2(A!0, B!1, C!2, F!5), k14_isocat_2(A!0, B!1, C!2, D!3, E!4, G!6), k14_isocat_2(A!0, B!1, C!2, E!4, F!5, H!7)))))) & r2_nattra_1(A!0, k11_cat_2(B!1, C!2), D!3, E!4) & r2_nattra_1(A!0, k11_cat_2(B!1, C!2), E!4, F!5) & m2_cat_1(F!5, A!0, k11_cat_2(B!1, C!2)))) <=> (m2_cat_1(E!4, A!0, k11_cat_2(B!1, C!2)) & m2_nattra_1(G!6, A!0, k11_cat_2(B!1, C!2), D!3, E!4) & (~((~m2_nattra_1(H!7, A!0, k11_cat_2(B!1, C!2), E!4, F!5)) | (r4_nattra_1(u1_cat_1(A!0), u2_cat_1(B!1), u1_cat_1(A!0), u2_cat_1(B!1), k13_isocat_2(A!0, B!1, C!2, D!3, F!5, k8_nattra_1(A!0, k11_cat_2(B!1, C!2), D!3, E!4, F!5, G!6, H!7)), k8_nattra_1(A!0, B!1, k11_isocat_2(A!0, B!1, C!2, D!3), k11_isocat_2(A!0, B!1, C!2, E!4), k11_isocat_2(A!0, B!1, C!2, F!5), k13_isocat_2(A!0, B!1, C!2, D!3, E!4, G!6), k13_isocat_2(A!0, B!1, C!2, E!4, F!5, H!7))) & r4_nattra_1(u1_cat_1(A!0), u2_cat_1(C!2), u1_cat_1(A!0), u2_cat_1(C!2), k14_isocat_2(A!0, B!1, C!2, D!3, F!5, k8_nattra_1(A!0, k11_cat_2(B!1, C!2), D!3, E!4, F!5, G!6, H!7)), k8_nattra_1(A!0, C!2, k12_isocat_2(A!0, B!1, C!2, D!3), k12_isocat_2(A!0, B!1, C!2, E!4), k12_isocat_2(A!0, B!1, C!2, F!5), k14_isocat_2(A!0, B!1, C!2, D!3, E!4, G!6), k14_isocat_2(A!0, B!1, C!2, E!4, F!5, H!7)))))) & r2_nattra_1(A!0, k11_cat_2(B!1, C!2), D!3, E!4) & r2_nattra_1(A!0, k11_cat_2(B!1, C!2), E!4, F!5) & m2_cat_1(F!5, A!0, k11_cat_2(B!1, C!2)))),
% 18.68/18.88 inference(rewrite,[status(thm)],[])).
% 18.68/18.88 tff(25,plain,
% 18.68/18.88 (((m2_nattra_1(G!6, A!0, k11_cat_2(B!1, C!2), D!3, E!4) & (~((~m2_nattra_1(H!7, A!0, k11_cat_2(B!1, C!2), E!4, F!5)) | (r4_nattra_1(u1_cat_1(A!0), u2_cat_1(B!1), u1_cat_1(A!0), u2_cat_1(B!1), k13_isocat_2(A!0, B!1, C!2, D!3, F!5, k8_nattra_1(A!0, k11_cat_2(B!1, C!2), D!3, E!4, F!5, G!6, H!7)), k8_nattra_1(A!0, B!1, k11_isocat_2(A!0, B!1, C!2, D!3), k11_isocat_2(A!0, B!1, C!2, E!4), k11_isocat_2(A!0, B!1, C!2, F!5), k13_isocat_2(A!0, B!1, C!2, D!3, E!4, G!6), k13_isocat_2(A!0, B!1, C!2, E!4, F!5, H!7))) & r4_nattra_1(u1_cat_1(A!0), u2_cat_1(C!2), u1_cat_1(A!0), u2_cat_1(C!2), k14_isocat_2(A!0, B!1, C!2, D!3, F!5, k8_nattra_1(A!0, k11_cat_2(B!1, C!2), D!3, E!4, F!5, G!6, H!7)), k8_nattra_1(A!0, C!2, k12_isocat_2(A!0, B!1, C!2, D!3), k12_isocat_2(A!0, B!1, C!2, E!4), k12_isocat_2(A!0, B!1, C!2, F!5), k14_isocat_2(A!0, B!1, C!2, D!3, E!4, G!6), k14_isocat_2(A!0, B!1, C!2, E!4, F!5, H!7))))))) & (r2_nattra_1(A!0, k11_cat_2(B!1, C!2), D!3, E!4) & r2_nattra_1(A!0, k11_cat_2(B!1, C!2), E!4, F!5)) & m2_cat_1(F!5, A!0, k11_cat_2(B!1, C!2))) <=> (m2_nattra_1(G!6, A!0, k11_cat_2(B!1, C!2), D!3, E!4) & (~((~m2_nattra_1(H!7, A!0, k11_cat_2(B!1, C!2), E!4, F!5)) | (r4_nattra_1(u1_cat_1(A!0), u2_cat_1(B!1), u1_cat_1(A!0), u2_cat_1(B!1), k13_isocat_2(A!0, B!1, C!2, D!3, F!5, k8_nattra_1(A!0, k11_cat_2(B!1, C!2), D!3, E!4, F!5, G!6, H!7)), k8_nattra_1(A!0, B!1, k11_isocat_2(A!0, B!1, C!2, D!3), k11_isocat_2(A!0, B!1, C!2, E!4), k11_isocat_2(A!0, B!1, C!2, F!5), k13_isocat_2(A!0, B!1, C!2, D!3, E!4, G!6), k13_isocat_2(A!0, B!1, C!2, E!4, F!5, H!7))) & r4_nattra_1(u1_cat_1(A!0), u2_cat_1(C!2), u1_cat_1(A!0), u2_cat_1(C!2), k14_isocat_2(A!0, B!1, C!2, D!3, F!5, k8_nattra_1(A!0, k11_cat_2(B!1, C!2), D!3, E!4, F!5, G!6, H!7)), k8_nattra_1(A!0, C!2, k12_isocat_2(A!0, B!1, C!2, D!3), k12_isocat_2(A!0, B!1, C!2, E!4), k12_isocat_2(A!0, B!1, C!2, F!5), k14_isocat_2(A!0, B!1, C!2, D!3, E!4, G!6), k14_isocat_2(A!0, B!1, C!2, E!4, F!5, H!7)))))) & r2_nattra_1(A!0, k11_cat_2(B!1, C!2), D!3, E!4) & r2_nattra_1(A!0, k11_cat_2(B!1, C!2), E!4, F!5) & m2_cat_1(F!5, A!0, k11_cat_2(B!1, C!2)))),
% 18.68/18.88 inference(rewrite,[status(thm)],[])).
% 18.68/18.88 tff(26,plain,
% 18.68/18.88 ((m2_cat_1(E!4, A!0, k11_cat_2(B!1, C!2)) & ((m2_nattra_1(G!6, A!0, k11_cat_2(B!1, C!2), D!3, E!4) & (~((~m2_nattra_1(H!7, A!0, k11_cat_2(B!1, C!2), E!4, F!5)) | (r4_nattra_1(u1_cat_1(A!0), u2_cat_1(B!1), u1_cat_1(A!0), u2_cat_1(B!1), k13_isocat_2(A!0, B!1, C!2, D!3, F!5, k8_nattra_1(A!0, k11_cat_2(B!1, C!2), D!3, E!4, F!5, G!6, H!7)), k8_nattra_1(A!0, B!1, k11_isocat_2(A!0, B!1, C!2, D!3), k11_isocat_2(A!0, B!1, C!2, E!4), k11_isocat_2(A!0, B!1, C!2, F!5), k13_isocat_2(A!0, B!1, C!2, D!3, E!4, G!6), k13_isocat_2(A!0, B!1, C!2, E!4, F!5, H!7))) & r4_nattra_1(u1_cat_1(A!0), u2_cat_1(C!2), u1_cat_1(A!0), u2_cat_1(C!2), k14_isocat_2(A!0, B!1, C!2, D!3, F!5, k8_nattra_1(A!0, k11_cat_2(B!1, C!2), D!3, E!4, F!5, G!6, H!7)), k8_nattra_1(A!0, C!2, k12_isocat_2(A!0, B!1, C!2, D!3), k12_isocat_2(A!0, B!1, C!2, E!4), k12_isocat_2(A!0, B!1, C!2, F!5), k14_isocat_2(A!0, B!1, C!2, D!3, E!4, G!6), k14_isocat_2(A!0, B!1, C!2, E!4, F!5, H!7))))))) & (r2_nattra_1(A!0, k11_cat_2(B!1, C!2), D!3, E!4) & r2_nattra_1(A!0, k11_cat_2(B!1, C!2), E!4, F!5)) & m2_cat_1(F!5, A!0, k11_cat_2(B!1, C!2)))) <=> (m2_cat_1(E!4, A!0, k11_cat_2(B!1, C!2)) & (m2_nattra_1(G!6, A!0, k11_cat_2(B!1, C!2), D!3, E!4) & (~((~m2_nattra_1(H!7, A!0, k11_cat_2(B!1, C!2), E!4, F!5)) | (r4_nattra_1(u1_cat_1(A!0), u2_cat_1(B!1), u1_cat_1(A!0), u2_cat_1(B!1), k13_isocat_2(A!0, B!1, C!2, D!3, F!5, k8_nattra_1(A!0, k11_cat_2(B!1, C!2), D!3, E!4, F!5, G!6, H!7)), k8_nattra_1(A!0, B!1, k11_isocat_2(A!0, B!1, C!2, D!3), k11_isocat_2(A!0, B!1, C!2, E!4), k11_isocat_2(A!0, B!1, C!2, F!5), k13_isocat_2(A!0, B!1, C!2, D!3, E!4, G!6), k13_isocat_2(A!0, B!1, C!2, E!4, F!5, H!7))) & r4_nattra_1(u1_cat_1(A!0), u2_cat_1(C!2), u1_cat_1(A!0), u2_cat_1(C!2), k14_isocat_2(A!0, B!1, C!2, D!3, F!5, k8_nattra_1(A!0, k11_cat_2(B!1, C!2), D!3, E!4, F!5, G!6, H!7)), k8_nattra_1(A!0, C!2, k12_isocat_2(A!0, B!1, C!2, D!3), k12_isocat_2(A!0, B!1, C!2, E!4), k12_isocat_2(A!0, B!1, C!2, F!5), k14_isocat_2(A!0, B!1, C!2, D!3, E!4, G!6), k14_isocat_2(A!0, B!1, C!2, E!4, F!5, H!7)))))) & r2_nattra_1(A!0, k11_cat_2(B!1, C!2), D!3, E!4) & r2_nattra_1(A!0, k11_cat_2(B!1, C!2), E!4, F!5) & m2_cat_1(F!5, A!0, k11_cat_2(B!1, C!2))))),
% 18.68/18.88 inference(monotonicity,[status(thm)],[25])).
% 18.68/18.88 tff(27,plain,
% 18.68/18.88 ((m2_cat_1(E!4, A!0, k11_cat_2(B!1, C!2)) & ((m2_nattra_1(G!6, A!0, k11_cat_2(B!1, C!2), D!3, E!4) & (~((~m2_nattra_1(H!7, A!0, k11_cat_2(B!1, C!2), E!4, F!5)) | (r4_nattra_1(u1_cat_1(A!0), u2_cat_1(B!1), u1_cat_1(A!0), u2_cat_1(B!1), k13_isocat_2(A!0, B!1, C!2, D!3, F!5, k8_nattra_1(A!0, k11_cat_2(B!1, C!2), D!3, E!4, F!5, G!6, H!7)), k8_nattra_1(A!0, B!1, k11_isocat_2(A!0, B!1, C!2, D!3), k11_isocat_2(A!0, B!1, C!2, E!4), k11_isocat_2(A!0, B!1, C!2, F!5), k13_isocat_2(A!0, B!1, C!2, D!3, E!4, G!6), k13_isocat_2(A!0, B!1, C!2, E!4, F!5, H!7))) & r4_nattra_1(u1_cat_1(A!0), u2_cat_1(C!2), u1_cat_1(A!0), u2_cat_1(C!2), k14_isocat_2(A!0, B!1, C!2, D!3, F!5, k8_nattra_1(A!0, k11_cat_2(B!1, C!2), D!3, E!4, F!5, G!6, H!7)), k8_nattra_1(A!0, C!2, k12_isocat_2(A!0, B!1, C!2, D!3), k12_isocat_2(A!0, B!1, C!2, E!4), k12_isocat_2(A!0, B!1, C!2, F!5), k14_isocat_2(A!0, B!1, C!2, D!3, E!4, G!6), k14_isocat_2(A!0, B!1, C!2, E!4, F!5, H!7))))))) & (r2_nattra_1(A!0, k11_cat_2(B!1, C!2), D!3, E!4) & r2_nattra_1(A!0, k11_cat_2(B!1, C!2), E!4, F!5)) & m2_cat_1(F!5, A!0, k11_cat_2(B!1, C!2)))) <=> (m2_cat_1(E!4, A!0, k11_cat_2(B!1, C!2)) & m2_nattra_1(G!6, A!0, k11_cat_2(B!1, C!2), D!3, E!4) & (~((~m2_nattra_1(H!7, A!0, k11_cat_2(B!1, C!2), E!4, F!5)) | (r4_nattra_1(u1_cat_1(A!0), u2_cat_1(B!1), u1_cat_1(A!0), u2_cat_1(B!1), k13_isocat_2(A!0, B!1, C!2, D!3, F!5, k8_nattra_1(A!0, k11_cat_2(B!1, C!2), D!3, E!4, F!5, G!6, H!7)), k8_nattra_1(A!0, B!1, k11_isocat_2(A!0, B!1, C!2, D!3), k11_isocat_2(A!0, B!1, C!2, E!4), k11_isocat_2(A!0, B!1, C!2, F!5), k13_isocat_2(A!0, B!1, C!2, D!3, E!4, G!6), k13_isocat_2(A!0, B!1, C!2, E!4, F!5, H!7))) & r4_nattra_1(u1_cat_1(A!0), u2_cat_1(C!2), u1_cat_1(A!0), u2_cat_1(C!2), k14_isocat_2(A!0, B!1, C!2, D!3, F!5, k8_nattra_1(A!0, k11_cat_2(B!1, C!2), D!3, E!4, F!5, G!6, H!7)), k8_nattra_1(A!0, C!2, k12_isocat_2(A!0, B!1, C!2, D!3), k12_isocat_2(A!0, B!1, C!2, E!4), k12_isocat_2(A!0, B!1, C!2, F!5), k14_isocat_2(A!0, B!1, C!2, D!3, E!4, G!6), k14_isocat_2(A!0, B!1, C!2, E!4, F!5, H!7)))))) & r2_nattra_1(A!0, k11_cat_2(B!1, C!2), D!3, E!4) & r2_nattra_1(A!0, k11_cat_2(B!1, C!2), E!4, F!5) & m2_cat_1(F!5, A!0, k11_cat_2(B!1, C!2)))),
% 18.68/18.88 inference(transitivity,[status(thm)],[26, 24])).
% 18.68/18.88 tff(28,plain,
% 18.68/18.88 ((m2_cat_1(D!3, A!0, k11_cat_2(B!1, C!2)) & (m2_cat_1(E!4, A!0, k11_cat_2(B!1, C!2)) & ((m2_nattra_1(G!6, A!0, k11_cat_2(B!1, C!2), D!3, E!4) & (~((~m2_nattra_1(H!7, A!0, k11_cat_2(B!1, C!2), E!4, F!5)) | (r4_nattra_1(u1_cat_1(A!0), u2_cat_1(B!1), u1_cat_1(A!0), u2_cat_1(B!1), k13_isocat_2(A!0, B!1, C!2, D!3, F!5, k8_nattra_1(A!0, k11_cat_2(B!1, C!2), D!3, E!4, F!5, G!6, H!7)), k8_nattra_1(A!0, B!1, k11_isocat_2(A!0, B!1, C!2, D!3), k11_isocat_2(A!0, B!1, C!2, E!4), k11_isocat_2(A!0, B!1, C!2, F!5), k13_isocat_2(A!0, B!1, C!2, D!3, E!4, G!6), k13_isocat_2(A!0, B!1, C!2, E!4, F!5, H!7))) & r4_nattra_1(u1_cat_1(A!0), u2_cat_1(C!2), u1_cat_1(A!0), u2_cat_1(C!2), k14_isocat_2(A!0, B!1, C!2, D!3, F!5, k8_nattra_1(A!0, k11_cat_2(B!1, C!2), D!3, E!4, F!5, G!6, H!7)), k8_nattra_1(A!0, C!2, k12_isocat_2(A!0, B!1, C!2, D!3), k12_isocat_2(A!0, B!1, C!2, E!4), k12_isocat_2(A!0, B!1, C!2, F!5), k14_isocat_2(A!0, B!1, C!2, D!3, E!4, G!6), k14_isocat_2(A!0, B!1, C!2, E!4, F!5, H!7))))))) & (r2_nattra_1(A!0, k11_cat_2(B!1, C!2), D!3, E!4) & r2_nattra_1(A!0, k11_cat_2(B!1, C!2), E!4, F!5)) & m2_cat_1(F!5, A!0, k11_cat_2(B!1, C!2))))) <=> (m2_cat_1(D!3, A!0, k11_cat_2(B!1, C!2)) & (m2_cat_1(E!4, A!0, k11_cat_2(B!1, C!2)) & m2_nattra_1(G!6, A!0, k11_cat_2(B!1, C!2), D!3, E!4) & (~((~m2_nattra_1(H!7, A!0, k11_cat_2(B!1, C!2), E!4, F!5)) | (r4_nattra_1(u1_cat_1(A!0), u2_cat_1(B!1), u1_cat_1(A!0), u2_cat_1(B!1), k13_isocat_2(A!0, B!1, C!2, D!3, F!5, k8_nattra_1(A!0, k11_cat_2(B!1, C!2), D!3, E!4, F!5, G!6, H!7)), k8_nattra_1(A!0, B!1, k11_isocat_2(A!0, B!1, C!2, D!3), k11_isocat_2(A!0, B!1, C!2, E!4), k11_isocat_2(A!0, B!1, C!2, F!5), k13_isocat_2(A!0, B!1, C!2, D!3, E!4, G!6), k13_isocat_2(A!0, B!1, C!2, E!4, F!5, H!7))) & r4_nattra_1(u1_cat_1(A!0), u2_cat_1(C!2), u1_cat_1(A!0), u2_cat_1(C!2), k14_isocat_2(A!0, B!1, C!2, D!3, F!5, k8_nattra_1(A!0, k11_cat_2(B!1, C!2), D!3, E!4, F!5, G!6, H!7)), k8_nattra_1(A!0, C!2, k12_isocat_2(A!0, B!1, C!2, D!3), k12_isocat_2(A!0, B!1, C!2, E!4), k12_isocat_2(A!0, B!1, C!2, F!5), k14_isocat_2(A!0, B!1, C!2, D!3, E!4, G!6), k14_isocat_2(A!0, B!1, C!2, E!4, F!5, H!7)))))) & r2_nattra_1(A!0, k11_cat_2(B!1, C!2), D!3, E!4) & r2_nattra_1(A!0, k11_cat_2(B!1, C!2), E!4, F!5) & m2_cat_1(F!5, A!0, k11_cat_2(B!1, C!2))))),
% 18.68/18.88 inference(monotonicity,[status(thm)],[27])).
% 18.68/18.88 tff(29,plain,
% 18.68/18.88 ((m2_cat_1(D!3, A!0, k11_cat_2(B!1, C!2)) & (m2_cat_1(E!4, A!0, k11_cat_2(B!1, C!2)) & ((m2_nattra_1(G!6, A!0, k11_cat_2(B!1, C!2), D!3, E!4) & (~((~m2_nattra_1(H!7, A!0, k11_cat_2(B!1, C!2), E!4, F!5)) | (r4_nattra_1(u1_cat_1(A!0), u2_cat_1(B!1), u1_cat_1(A!0), u2_cat_1(B!1), k13_isocat_2(A!0, B!1, C!2, D!3, F!5, k8_nattra_1(A!0, k11_cat_2(B!1, C!2), D!3, E!4, F!5, G!6, H!7)), k8_nattra_1(A!0, B!1, k11_isocat_2(A!0, B!1, C!2, D!3), k11_isocat_2(A!0, B!1, C!2, E!4), k11_isocat_2(A!0, B!1, C!2, F!5), k13_isocat_2(A!0, B!1, C!2, D!3, E!4, G!6), k13_isocat_2(A!0, B!1, C!2, E!4, F!5, H!7))) & r4_nattra_1(u1_cat_1(A!0), u2_cat_1(C!2), u1_cat_1(A!0), u2_cat_1(C!2), k14_isocat_2(A!0, B!1, C!2, D!3, F!5, k8_nattra_1(A!0, k11_cat_2(B!1, C!2), D!3, E!4, F!5, G!6, H!7)), k8_nattra_1(A!0, C!2, k12_isocat_2(A!0, B!1, C!2, D!3), k12_isocat_2(A!0, B!1, C!2, E!4), k12_isocat_2(A!0, B!1, C!2, F!5), k14_isocat_2(A!0, B!1, C!2, D!3, E!4, G!6), k14_isocat_2(A!0, B!1, C!2, E!4, F!5, H!7))))))) & (r2_nattra_1(A!0, k11_cat_2(B!1, C!2), D!3, E!4) & r2_nattra_1(A!0, k11_cat_2(B!1, C!2), E!4, F!5)) & m2_cat_1(F!5, A!0, k11_cat_2(B!1, C!2))))) <=> (m2_cat_1(D!3, A!0, k11_cat_2(B!1, C!2)) & m2_cat_1(E!4, A!0, k11_cat_2(B!1, C!2)) & m2_nattra_1(G!6, A!0, k11_cat_2(B!1, C!2), D!3, E!4) & (~((~m2_nattra_1(H!7, A!0, k11_cat_2(B!1, C!2), E!4, F!5)) | (r4_nattra_1(u1_cat_1(A!0), u2_cat_1(B!1), u1_cat_1(A!0), u2_cat_1(B!1), k13_isocat_2(A!0, B!1, C!2, D!3, F!5, k8_nattra_1(A!0, k11_cat_2(B!1, C!2), D!3, E!4, F!5, G!6, H!7)), k8_nattra_1(A!0, B!1, k11_isocat_2(A!0, B!1, C!2, D!3), k11_isocat_2(A!0, B!1, C!2, E!4), k11_isocat_2(A!0, B!1, C!2, F!5), k13_isocat_2(A!0, B!1, C!2, D!3, E!4, G!6), k13_isocat_2(A!0, B!1, C!2, E!4, F!5, H!7))) & r4_nattra_1(u1_cat_1(A!0), u2_cat_1(C!2), u1_cat_1(A!0), u2_cat_1(C!2), k14_isocat_2(A!0, B!1, C!2, D!3, F!5, k8_nattra_1(A!0, k11_cat_2(B!1, C!2), D!3, E!4, F!5, G!6, H!7)), k8_nattra_1(A!0, C!2, k12_isocat_2(A!0, B!1, C!2, D!3), k12_isocat_2(A!0, B!1, C!2, E!4), k12_isocat_2(A!0, B!1, C!2, F!5), k14_isocat_2(A!0, B!1, C!2, D!3, E!4, G!6), k14_isocat_2(A!0, B!1, C!2, E!4, F!5, H!7)))))) & r2_nattra_1(A!0, k11_cat_2(B!1, C!2), D!3, E!4) & r2_nattra_1(A!0, k11_cat_2(B!1, C!2), E!4, F!5) & m2_cat_1(F!5, A!0, k11_cat_2(B!1, C!2)))),
% 18.72/18.89 inference(transitivity,[status(thm)],[28, 23])).
% 18.72/18.89 tff(30,plain,
% 18.72/18.89 (((v2_cat_1(C!2) & l1_cat_1(C!2)) & (m2_cat_1(D!3, A!0, k11_cat_2(B!1, C!2)) & (m2_cat_1(E!4, A!0, k11_cat_2(B!1, C!2)) & ((m2_nattra_1(G!6, A!0, k11_cat_2(B!1, C!2), D!3, E!4) & (~((~m2_nattra_1(H!7, A!0, k11_cat_2(B!1, C!2), E!4, F!5)) | (r4_nattra_1(u1_cat_1(A!0), u2_cat_1(B!1), u1_cat_1(A!0), u2_cat_1(B!1), k13_isocat_2(A!0, B!1, C!2, D!3, F!5, k8_nattra_1(A!0, k11_cat_2(B!1, C!2), D!3, E!4, F!5, G!6, H!7)), k8_nattra_1(A!0, B!1, k11_isocat_2(A!0, B!1, C!2, D!3), k11_isocat_2(A!0, B!1, C!2, E!4), k11_isocat_2(A!0, B!1, C!2, F!5), k13_isocat_2(A!0, B!1, C!2, D!3, E!4, G!6), k13_isocat_2(A!0, B!1, C!2, E!4, F!5, H!7))) & r4_nattra_1(u1_cat_1(A!0), u2_cat_1(C!2), u1_cat_1(A!0), u2_cat_1(C!2), k14_isocat_2(A!0, B!1, C!2, D!3, F!5, k8_nattra_1(A!0, k11_cat_2(B!1, C!2), D!3, E!4, F!5, G!6, H!7)), k8_nattra_1(A!0, C!2, k12_isocat_2(A!0, B!1, C!2, D!3), k12_isocat_2(A!0, B!1, C!2, E!4), k12_isocat_2(A!0, B!1, C!2, F!5), k14_isocat_2(A!0, B!1, C!2, D!3, E!4, G!6), k14_isocat_2(A!0, B!1, C!2, E!4, F!5, H!7))))))) & (r2_nattra_1(A!0, k11_cat_2(B!1, C!2), D!3, E!4) & r2_nattra_1(A!0, k11_cat_2(B!1, C!2), E!4, F!5)) & m2_cat_1(F!5, A!0, k11_cat_2(B!1, C!2)))))) <=> ((v2_cat_1(C!2) & l1_cat_1(C!2)) & (m2_cat_1(D!3, A!0, k11_cat_2(B!1, C!2)) & m2_cat_1(E!4, A!0, k11_cat_2(B!1, C!2)) & m2_nattra_1(G!6, A!0, k11_cat_2(B!1, C!2), D!3, E!4) & (~((~m2_nattra_1(H!7, A!0, k11_cat_2(B!1, C!2), E!4, F!5)) | (r4_nattra_1(u1_cat_1(A!0), u2_cat_1(B!1), u1_cat_1(A!0), u2_cat_1(B!1), k13_isocat_2(A!0, B!1, C!2, D!3, F!5, k8_nattra_1(A!0, k11_cat_2(B!1, C!2), D!3, E!4, F!5, G!6, H!7)), k8_nattra_1(A!0, B!1, k11_isocat_2(A!0, B!1, C!2, D!3), k11_isocat_2(A!0, B!1, C!2, E!4), k11_isocat_2(A!0, B!1, C!2, F!5), k13_isocat_2(A!0, B!1, C!2, D!3, E!4, G!6), k13_isocat_2(A!0, B!1, C!2, E!4, F!5, H!7))) & r4_nattra_1(u1_cat_1(A!0), u2_cat_1(C!2), u1_cat_1(A!0), u2_cat_1(C!2), k14_isocat_2(A!0, B!1, C!2, D!3, F!5, k8_nattra_1(A!0, k11_cat_2(B!1, C!2), D!3, E!4, F!5, G!6, H!7)), k8_nattra_1(A!0, C!2, k12_isocat_2(A!0, B!1, C!2, D!3), k12_isocat_2(A!0, B!1, C!2, E!4), k12_isocat_2(A!0, B!1, C!2, F!5), k14_isocat_2(A!0, B!1, C!2, D!3, E!4, G!6), k14_isocat_2(A!0, B!1, C!2, E!4, F!5, H!7)))))) & r2_nattra_1(A!0, k11_cat_2(B!1, C!2), D!3, E!4) & r2_nattra_1(A!0, k11_cat_2(B!1, C!2), E!4, F!5) & m2_cat_1(F!5, A!0, k11_cat_2(B!1, C!2))))),
% 18.72/18.89 inference(monotonicity,[status(thm)],[29])).
% 18.72/18.89 tff(31,plain,
% 18.72/18.89 (((v2_cat_1(C!2) & l1_cat_1(C!2)) & (m2_cat_1(D!3, A!0, k11_cat_2(B!1, C!2)) & (m2_cat_1(E!4, A!0, k11_cat_2(B!1, C!2)) & ((m2_nattra_1(G!6, A!0, k11_cat_2(B!1, C!2), D!3, E!4) & (~((~m2_nattra_1(H!7, A!0, k11_cat_2(B!1, C!2), E!4, F!5)) | (r4_nattra_1(u1_cat_1(A!0), u2_cat_1(B!1), u1_cat_1(A!0), u2_cat_1(B!1), k13_isocat_2(A!0, B!1, C!2, D!3, F!5, k8_nattra_1(A!0, k11_cat_2(B!1, C!2), D!3, E!4, F!5, G!6, H!7)), k8_nattra_1(A!0, B!1, k11_isocat_2(A!0, B!1, C!2, D!3), k11_isocat_2(A!0, B!1, C!2, E!4), k11_isocat_2(A!0, B!1, C!2, F!5), k13_isocat_2(A!0, B!1, C!2, D!3, E!4, G!6), k13_isocat_2(A!0, B!1, C!2, E!4, F!5, H!7))) & r4_nattra_1(u1_cat_1(A!0), u2_cat_1(C!2), u1_cat_1(A!0), u2_cat_1(C!2), k14_isocat_2(A!0, B!1, C!2, D!3, F!5, k8_nattra_1(A!0, k11_cat_2(B!1, C!2), D!3, E!4, F!5, G!6, H!7)), k8_nattra_1(A!0, C!2, k12_isocat_2(A!0, B!1, C!2, D!3), k12_isocat_2(A!0, B!1, C!2, E!4), k12_isocat_2(A!0, B!1, C!2, F!5), k14_isocat_2(A!0, B!1, C!2, D!3, E!4, G!6), k14_isocat_2(A!0, B!1, C!2, E!4, F!5, H!7))))))) & (r2_nattra_1(A!0, k11_cat_2(B!1, C!2), D!3, E!4) & r2_nattra_1(A!0, k11_cat_2(B!1, C!2), E!4, F!5)) & m2_cat_1(F!5, A!0, k11_cat_2(B!1, C!2)))))) <=> (v2_cat_1(C!2) & l1_cat_1(C!2) & m2_cat_1(D!3, A!0, k11_cat_2(B!1, C!2)) & m2_cat_1(E!4, A!0, k11_cat_2(B!1, C!2)) & m2_nattra_1(G!6, A!0, k11_cat_2(B!1, C!2), D!3, E!4) & (~((~m2_nattra_1(H!7, A!0, k11_cat_2(B!1, C!2), E!4, F!5)) | (r4_nattra_1(u1_cat_1(A!0), u2_cat_1(B!1), u1_cat_1(A!0), u2_cat_1(B!1), k13_isocat_2(A!0, B!1, C!2, D!3, F!5, k8_nattra_1(A!0, k11_cat_2(B!1, C!2), D!3, E!4, F!5, G!6, H!7)), k8_nattra_1(A!0, B!1, k11_isocat_2(A!0, B!1, C!2, D!3), k11_isocat_2(A!0, B!1, C!2, E!4), k11_isocat_2(A!0, B!1, C!2, F!5), k13_isocat_2(A!0, B!1, C!2, D!3, E!4, G!6), k13_isocat_2(A!0, B!1, C!2, E!4, F!5, H!7))) & r4_nattra_1(u1_cat_1(A!0), u2_cat_1(C!2), u1_cat_1(A!0), u2_cat_1(C!2), k14_isocat_2(A!0, B!1, C!2, D!3, F!5, k8_nattra_1(A!0, k11_cat_2(B!1, C!2), D!3, E!4, F!5, G!6, H!7)), k8_nattra_1(A!0, C!2, k12_isocat_2(A!0, B!1, C!2, D!3), k12_isocat_2(A!0, B!1, C!2, E!4), k12_isocat_2(A!0, B!1, C!2, F!5), k14_isocat_2(A!0, B!1, C!2, D!3, E!4, G!6), k14_isocat_2(A!0, B!1, C!2, E!4, F!5, H!7)))))) & r2_nattra_1(A!0, k11_cat_2(B!1, C!2), D!3, E!4) & r2_nattra_1(A!0, k11_cat_2(B!1, C!2), E!4, F!5) & m2_cat_1(F!5, A!0, k11_cat_2(B!1, C!2)))),
% 18.72/18.89 inference(transitivity,[status(thm)],[30, 22])).
% 18.72/18.89 tff(32,plain,
% 18.72/18.89 (((v2_cat_1(B!1) & l1_cat_1(B!1)) & ((v2_cat_1(C!2) & l1_cat_1(C!2)) & (m2_cat_1(D!3, A!0, k11_cat_2(B!1, C!2)) & (m2_cat_1(E!4, A!0, k11_cat_2(B!1, C!2)) & ((m2_nattra_1(G!6, A!0, k11_cat_2(B!1, C!2), D!3, E!4) & (~((~m2_nattra_1(H!7, A!0, k11_cat_2(B!1, C!2), E!4, F!5)) | (r4_nattra_1(u1_cat_1(A!0), u2_cat_1(B!1), u1_cat_1(A!0), u2_cat_1(B!1), k13_isocat_2(A!0, B!1, C!2, D!3, F!5, k8_nattra_1(A!0, k11_cat_2(B!1, C!2), D!3, E!4, F!5, G!6, H!7)), k8_nattra_1(A!0, B!1, k11_isocat_2(A!0, B!1, C!2, D!3), k11_isocat_2(A!0, B!1, C!2, E!4), k11_isocat_2(A!0, B!1, C!2, F!5), k13_isocat_2(A!0, B!1, C!2, D!3, E!4, G!6), k13_isocat_2(A!0, B!1, C!2, E!4, F!5, H!7))) & r4_nattra_1(u1_cat_1(A!0), u2_cat_1(C!2), u1_cat_1(A!0), u2_cat_1(C!2), k14_isocat_2(A!0, B!1, C!2, D!3, F!5, k8_nattra_1(A!0, k11_cat_2(B!1, C!2), D!3, E!4, F!5, G!6, H!7)), k8_nattra_1(A!0, C!2, k12_isocat_2(A!0, B!1, C!2, D!3), k12_isocat_2(A!0, B!1, C!2, E!4), k12_isocat_2(A!0, B!1, C!2, F!5), k14_isocat_2(A!0, B!1, C!2, D!3, E!4, G!6), k14_isocat_2(A!0, B!1, C!2, E!4, F!5, H!7))))))) & (r2_nattra_1(A!0, k11_cat_2(B!1, C!2), D!3, E!4) & r2_nattra_1(A!0, k11_cat_2(B!1, C!2), E!4, F!5)) & m2_cat_1(F!5, A!0, k11_cat_2(B!1, C!2))))))) <=> ((v2_cat_1(B!1) & l1_cat_1(B!1)) & (v2_cat_1(C!2) & l1_cat_1(C!2) & m2_cat_1(D!3, A!0, k11_cat_2(B!1, C!2)) & m2_cat_1(E!4, A!0, k11_cat_2(B!1, C!2)) & m2_nattra_1(G!6, A!0, k11_cat_2(B!1, C!2), D!3, E!4) & (~((~m2_nattra_1(H!7, A!0, k11_cat_2(B!1, C!2), E!4, F!5)) | (r4_nattra_1(u1_cat_1(A!0), u2_cat_1(B!1), u1_cat_1(A!0), u2_cat_1(B!1), k13_isocat_2(A!0, B!1, C!2, D!3, F!5, k8_nattra_1(A!0, k11_cat_2(B!1, C!2), D!3, E!4, F!5, G!6, H!7)), k8_nattra_1(A!0, B!1, k11_isocat_2(A!0, B!1, C!2, D!3), k11_isocat_2(A!0, B!1, C!2, E!4), k11_isocat_2(A!0, B!1, C!2, F!5), k13_isocat_2(A!0, B!1, C!2, D!3, E!4, G!6), k13_isocat_2(A!0, B!1, C!2, E!4, F!5, H!7))) & r4_nattra_1(u1_cat_1(A!0), u2_cat_1(C!2), u1_cat_1(A!0), u2_cat_1(C!2), k14_isocat_2(A!0, B!1, C!2, D!3, F!5, k8_nattra_1(A!0, k11_cat_2(B!1, C!2), D!3, E!4, F!5, G!6, H!7)), k8_nattra_1(A!0, C!2, k12_isocat_2(A!0, B!1, C!2, D!3), k12_isocat_2(A!0, B!1, C!2, E!4), k12_isocat_2(A!0, B!1, C!2, F!5), k14_isocat_2(A!0, B!1, C!2, D!3, E!4, G!6), k14_isocat_2(A!0, B!1, C!2, E!4, F!5, H!7)))))) & r2_nattra_1(A!0, k11_cat_2(B!1, C!2), D!3, E!4) & r2_nattra_1(A!0, k11_cat_2(B!1, C!2), E!4, F!5) & m2_cat_1(F!5, A!0, k11_cat_2(B!1, C!2))))),
% 18.72/18.89 inference(monotonicity,[status(thm)],[31])).
% 18.72/18.89 tff(33,plain,
% 18.72/18.89 (((v2_cat_1(B!1) & l1_cat_1(B!1)) & ((v2_cat_1(C!2) & l1_cat_1(C!2)) & (m2_cat_1(D!3, A!0, k11_cat_2(B!1, C!2)) & (m2_cat_1(E!4, A!0, k11_cat_2(B!1, C!2)) & ((m2_nattra_1(G!6, A!0, k11_cat_2(B!1, C!2), D!3, E!4) & (~((~m2_nattra_1(H!7, A!0, k11_cat_2(B!1, C!2), E!4, F!5)) | (r4_nattra_1(u1_cat_1(A!0), u2_cat_1(B!1), u1_cat_1(A!0), u2_cat_1(B!1), k13_isocat_2(A!0, B!1, C!2, D!3, F!5, k8_nattra_1(A!0, k11_cat_2(B!1, C!2), D!3, E!4, F!5, G!6, H!7)), k8_nattra_1(A!0, B!1, k11_isocat_2(A!0, B!1, C!2, D!3), k11_isocat_2(A!0, B!1, C!2, E!4), k11_isocat_2(A!0, B!1, C!2, F!5), k13_isocat_2(A!0, B!1, C!2, D!3, E!4, G!6), k13_isocat_2(A!0, B!1, C!2, E!4, F!5, H!7))) & r4_nattra_1(u1_cat_1(A!0), u2_cat_1(C!2), u1_cat_1(A!0), u2_cat_1(C!2), k14_isocat_2(A!0, B!1, C!2, D!3, F!5, k8_nattra_1(A!0, k11_cat_2(B!1, C!2), D!3, E!4, F!5, G!6, H!7)), k8_nattra_1(A!0, C!2, k12_isocat_2(A!0, B!1, C!2, D!3), k12_isocat_2(A!0, B!1, C!2, E!4), k12_isocat_2(A!0, B!1, C!2, F!5), k14_isocat_2(A!0, B!1, C!2, D!3, E!4, G!6), k14_isocat_2(A!0, B!1, C!2, E!4, F!5, H!7))))))) & (r2_nattra_1(A!0, k11_cat_2(B!1, C!2), D!3, E!4) & r2_nattra_1(A!0, k11_cat_2(B!1, C!2), E!4, F!5)) & m2_cat_1(F!5, A!0, k11_cat_2(B!1, C!2))))))) <=> (v2_cat_1(B!1) & l1_cat_1(B!1) & v2_cat_1(C!2) & l1_cat_1(C!2) & m2_cat_1(D!3, A!0, k11_cat_2(B!1, C!2)) & m2_cat_1(E!4, A!0, k11_cat_2(B!1, C!2)) & m2_nattra_1(G!6, A!0, k11_cat_2(B!1, C!2), D!3, E!4) & (~((~m2_nattra_1(H!7, A!0, k11_cat_2(B!1, C!2), E!4, F!5)) | (r4_nattra_1(u1_cat_1(A!0), u2_cat_1(B!1), u1_cat_1(A!0), u2_cat_1(B!1), k13_isocat_2(A!0, B!1, C!2, D!3, F!5, k8_nattra_1(A!0, k11_cat_2(B!1, C!2), D!3, E!4, F!5, G!6, H!7)), k8_nattra_1(A!0, B!1, k11_isocat_2(A!0, B!1, C!2, D!3), k11_isocat_2(A!0, B!1, C!2, E!4), k11_isocat_2(A!0, B!1, C!2, F!5), k13_isocat_2(A!0, B!1, C!2, D!3, E!4, G!6), k13_isocat_2(A!0, B!1, C!2, E!4, F!5, H!7))) & r4_nattra_1(u1_cat_1(A!0), u2_cat_1(C!2), u1_cat_1(A!0), u2_cat_1(C!2), k14_isocat_2(A!0, B!1, C!2, D!3, F!5, k8_nattra_1(A!0, k11_cat_2(B!1, C!2), D!3, E!4, F!5, G!6, H!7)), k8_nattra_1(A!0, C!2, k12_isocat_2(A!0, B!1, C!2, D!3), k12_isocat_2(A!0, B!1, C!2, E!4), k12_isocat_2(A!0, B!1, C!2, F!5), k14_isocat_2(A!0, B!1, C!2, D!3, E!4, G!6), k14_isocat_2(A!0, B!1, C!2, E!4, F!5, H!7)))))) & r2_nattra_1(A!0, k11_cat_2(B!1, C!2), D!3, E!4) & r2_nattra_1(A!0, k11_cat_2(B!1, C!2), E!4, F!5) & m2_cat_1(F!5, A!0, k11_cat_2(B!1, C!2)))),
% 18.72/18.89 inference(transitivity,[status(thm)],[32, 21])).
% 18.72/18.89 tff(34,plain,
% 18.72/18.89 (((v2_cat_1(A!0) & l1_cat_1(A!0)) & ((v2_cat_1(B!1) & l1_cat_1(B!1)) & ((v2_cat_1(C!2) & l1_cat_1(C!2)) & (m2_cat_1(D!3, A!0, k11_cat_2(B!1, C!2)) & (m2_cat_1(E!4, A!0, k11_cat_2(B!1, C!2)) & ((m2_nattra_1(G!6, A!0, k11_cat_2(B!1, C!2), D!3, E!4) & (~((~m2_nattra_1(H!7, A!0, k11_cat_2(B!1, C!2), E!4, F!5)) | (r4_nattra_1(u1_cat_1(A!0), u2_cat_1(B!1), u1_cat_1(A!0), u2_cat_1(B!1), k13_isocat_2(A!0, B!1, C!2, D!3, F!5, k8_nattra_1(A!0, k11_cat_2(B!1, C!2), D!3, E!4, F!5, G!6, H!7)), k8_nattra_1(A!0, B!1, k11_isocat_2(A!0, B!1, C!2, D!3), k11_isocat_2(A!0, B!1, C!2, E!4), k11_isocat_2(A!0, B!1, C!2, F!5), k13_isocat_2(A!0, B!1, C!2, D!3, E!4, G!6), k13_isocat_2(A!0, B!1, C!2, E!4, F!5, H!7))) & r4_nattra_1(u1_cat_1(A!0), u2_cat_1(C!2), u1_cat_1(A!0), u2_cat_1(C!2), k14_isocat_2(A!0, B!1, C!2, D!3, F!5, k8_nattra_1(A!0, k11_cat_2(B!1, C!2), D!3, E!4, F!5, G!6, H!7)), k8_nattra_1(A!0, C!2, k12_isocat_2(A!0, B!1, C!2, D!3), k12_isocat_2(A!0, B!1, C!2, E!4), k12_isocat_2(A!0, B!1, C!2, F!5), k14_isocat_2(A!0, B!1, C!2, D!3, E!4, G!6), k14_isocat_2(A!0, B!1, C!2, E!4, F!5, H!7))))))) & (r2_nattra_1(A!0, k11_cat_2(B!1, C!2), D!3, E!4) & r2_nattra_1(A!0, k11_cat_2(B!1, C!2), E!4, F!5)) & m2_cat_1(F!5, A!0, k11_cat_2(B!1, C!2)))))))) <=> ((v2_cat_1(A!0) & l1_cat_1(A!0)) & (v2_cat_1(B!1) & l1_cat_1(B!1) & v2_cat_1(C!2) & l1_cat_1(C!2) & m2_cat_1(D!3, A!0, k11_cat_2(B!1, C!2)) & m2_cat_1(E!4, A!0, k11_cat_2(B!1, C!2)) & m2_nattra_1(G!6, A!0, k11_cat_2(B!1, C!2), D!3, E!4) & (~((~m2_nattra_1(H!7, A!0, k11_cat_2(B!1, C!2), E!4, F!5)) | (r4_nattra_1(u1_cat_1(A!0), u2_cat_1(B!1), u1_cat_1(A!0), u2_cat_1(B!1), k13_isocat_2(A!0, B!1, C!2, D!3, F!5, k8_nattra_1(A!0, k11_cat_2(B!1, C!2), D!3, E!4, F!5, G!6, H!7)), k8_nattra_1(A!0, B!1, k11_isocat_2(A!0, B!1, C!2, D!3), k11_isocat_2(A!0, B!1, C!2, E!4), k11_isocat_2(A!0, B!1, C!2, F!5), k13_isocat_2(A!0, B!1, C!2, D!3, E!4, G!6), k13_isocat_2(A!0, B!1, C!2, E!4, F!5, H!7))) & r4_nattra_1(u1_cat_1(A!0), u2_cat_1(C!2), u1_cat_1(A!0), u2_cat_1(C!2), k14_isocat_2(A!0, B!1, C!2, D!3, F!5, k8_nattra_1(A!0, k11_cat_2(B!1, C!2), D!3, E!4, F!5, G!6, H!7)), k8_nattra_1(A!0, C!2, k12_isocat_2(A!0, B!1, C!2, D!3), k12_isocat_2(A!0, B!1, C!2, E!4), k12_isocat_2(A!0, B!1, C!2, F!5), k14_isocat_2(A!0, B!1, C!2, D!3, E!4, G!6), k14_isocat_2(A!0, B!1, C!2, E!4, F!5, H!7)))))) & r2_nattra_1(A!0, k11_cat_2(B!1, C!2), D!3, E!4) & r2_nattra_1(A!0, k11_cat_2(B!1, C!2), E!4, F!5) & m2_cat_1(F!5, A!0, k11_cat_2(B!1, C!2))))),
% 18.72/18.89 inference(monotonicity,[status(thm)],[33])).
% 18.72/18.89 tff(35,plain,
% 18.72/18.89 (((v2_cat_1(A!0) & l1_cat_1(A!0)) & ((v2_cat_1(B!1) & l1_cat_1(B!1)) & ((v2_cat_1(C!2) & l1_cat_1(C!2)) & (m2_cat_1(D!3, A!0, k11_cat_2(B!1, C!2)) & (m2_cat_1(E!4, A!0, k11_cat_2(B!1, C!2)) & ((m2_nattra_1(G!6, A!0, k11_cat_2(B!1, C!2), D!3, E!4) & (~((~m2_nattra_1(H!7, A!0, k11_cat_2(B!1, C!2), E!4, F!5)) | (r4_nattra_1(u1_cat_1(A!0), u2_cat_1(B!1), u1_cat_1(A!0), u2_cat_1(B!1), k13_isocat_2(A!0, B!1, C!2, D!3, F!5, k8_nattra_1(A!0, k11_cat_2(B!1, C!2), D!3, E!4, F!5, G!6, H!7)), k8_nattra_1(A!0, B!1, k11_isocat_2(A!0, B!1, C!2, D!3), k11_isocat_2(A!0, B!1, C!2, E!4), k11_isocat_2(A!0, B!1, C!2, F!5), k13_isocat_2(A!0, B!1, C!2, D!3, E!4, G!6), k13_isocat_2(A!0, B!1, C!2, E!4, F!5, H!7))) & r4_nattra_1(u1_cat_1(A!0), u2_cat_1(C!2), u1_cat_1(A!0), u2_cat_1(C!2), k14_isocat_2(A!0, B!1, C!2, D!3, F!5, k8_nattra_1(A!0, k11_cat_2(B!1, C!2), D!3, E!4, F!5, G!6, H!7)), k8_nattra_1(A!0, C!2, k12_isocat_2(A!0, B!1, C!2, D!3), k12_isocat_2(A!0, B!1, C!2, E!4), k12_isocat_2(A!0, B!1, C!2, F!5), k14_isocat_2(A!0, B!1, C!2, D!3, E!4, G!6), k14_isocat_2(A!0, B!1, C!2, E!4, F!5, H!7))))))) & (r2_nattra_1(A!0, k11_cat_2(B!1, C!2), D!3, E!4) & r2_nattra_1(A!0, k11_cat_2(B!1, C!2), E!4, F!5)) & m2_cat_1(F!5, A!0, k11_cat_2(B!1, C!2)))))))) <=> (v2_cat_1(A!0) & l1_cat_1(A!0) & v2_cat_1(B!1) & l1_cat_1(B!1) & v2_cat_1(C!2) & l1_cat_1(C!2) & m2_cat_1(D!3, A!0, k11_cat_2(B!1, C!2)) & m2_cat_1(E!4, A!0, k11_cat_2(B!1, C!2)) & m2_nattra_1(G!6, A!0, k11_cat_2(B!1, C!2), D!3, E!4) & (~((~m2_nattra_1(H!7, A!0, k11_cat_2(B!1, C!2), E!4, F!5)) | (r4_nattra_1(u1_cat_1(A!0), u2_cat_1(B!1), u1_cat_1(A!0), u2_cat_1(B!1), k13_isocat_2(A!0, B!1, C!2, D!3, F!5, k8_nattra_1(A!0, k11_cat_2(B!1, C!2), D!3, E!4, F!5, G!6, H!7)), k8_nattra_1(A!0, B!1, k11_isocat_2(A!0, B!1, C!2, D!3), k11_isocat_2(A!0, B!1, C!2, E!4), k11_isocat_2(A!0, B!1, C!2, F!5), k13_isocat_2(A!0, B!1, C!2, D!3, E!4, G!6), k13_isocat_2(A!0, B!1, C!2, E!4, F!5, H!7))) & r4_nattra_1(u1_cat_1(A!0), u2_cat_1(C!2), u1_cat_1(A!0), u2_cat_1(C!2), k14_isocat_2(A!0, B!1, C!2, D!3, F!5, k8_nattra_1(A!0, k11_cat_2(B!1, C!2), D!3, E!4, F!5, G!6, H!7)), k8_nattra_1(A!0, C!2, k12_isocat_2(A!0, B!1, C!2, D!3), k12_isocat_2(A!0, B!1, C!2, E!4), k12_isocat_2(A!0, B!1, C!2, F!5), k14_isocat_2(A!0, B!1, C!2, D!3, E!4, G!6), k14_isocat_2(A!0, B!1, C!2, E!4, F!5, H!7)))))) & r2_nattra_1(A!0, k11_cat_2(B!1, C!2), D!3, E!4) & r2_nattra_1(A!0, k11_cat_2(B!1, C!2), E!4, F!5) & m2_cat_1(F!5, A!0, k11_cat_2(B!1, C!2)))),
% 18.72/18.89 inference(transitivity,[status(thm)],[34, 20])).
% 18.72/18.89 tff(36,plain,
% 18.72/18.89 ((~![A: $i] : ((~(v2_cat_1(A) & l1_cat_1(A))) | ![B: $i] : ((~(v2_cat_1(B) & l1_cat_1(B))) | ![C: $i] : ((~(v2_cat_1(C) & l1_cat_1(C))) | ![D: $i] : ((~m2_cat_1(D, A, k11_cat_2(B, C))) | ![E: $i] : ((~m2_cat_1(E, A, k11_cat_2(B, C))) | ![F: $i] : (![G: $i] : ((~m2_nattra_1(G, A, k11_cat_2(B, C), D, E)) | ![H: $i] : ((~m2_nattra_1(H, A, k11_cat_2(B, C), E, F)) | (r4_nattra_1(u1_cat_1(A), u2_cat_1(B), u1_cat_1(A), u2_cat_1(B), k13_isocat_2(A, B, C, D, F, k8_nattra_1(A, k11_cat_2(B, C), D, E, F, G, H)), k8_nattra_1(A, B, k11_isocat_2(A, B, C, D), k11_isocat_2(A, B, C, E), k11_isocat_2(A, B, C, F), k13_isocat_2(A, B, C, D, E, G), k13_isocat_2(A, B, C, E, F, H))) & r4_nattra_1(u1_cat_1(A), u2_cat_1(C), u1_cat_1(A), u2_cat_1(C), k14_isocat_2(A, B, C, D, F, k8_nattra_1(A, k11_cat_2(B, C), D, E, F, G, H)), k8_nattra_1(A, C, k12_isocat_2(A, B, C, D), k12_isocat_2(A, B, C, E), k12_isocat_2(A, B, C, F), k14_isocat_2(A, B, C, D, E, G), k14_isocat_2(A, B, C, E, F, H)))))) | (~(r2_nattra_1(A, k11_cat_2(B, C), D, E) & r2_nattra_1(A, k11_cat_2(B, C), E, F))) | (~m2_cat_1(F, A, k11_cat_2(B, C)))))))))) <=> (~![A: $i] : ((~(v2_cat_1(A) & l1_cat_1(A))) | ![B: $i] : ((~(v2_cat_1(B) & l1_cat_1(B))) | ![C: $i] : ((~(v2_cat_1(C) & l1_cat_1(C))) | ![D: $i] : ((~m2_cat_1(D, A, k11_cat_2(B, C))) | ![E: $i] : ((~m2_cat_1(E, A, k11_cat_2(B, C))) | ![F: $i] : (![G: $i] : ((~m2_nattra_1(G, A, k11_cat_2(B, C), D, E)) | ![H: $i] : ((~m2_nattra_1(H, A, k11_cat_2(B, C), E, F)) | (r4_nattra_1(u1_cat_1(A), u2_cat_1(B), u1_cat_1(A), u2_cat_1(B), k13_isocat_2(A, B, C, D, F, k8_nattra_1(A, k11_cat_2(B, C), D, E, F, G, H)), k8_nattra_1(A, B, k11_isocat_2(A, B, C, D), k11_isocat_2(A, B, C, E), k11_isocat_2(A, B, C, F), k13_isocat_2(A, B, C, D, E, G), k13_isocat_2(A, B, C, E, F, H))) & r4_nattra_1(u1_cat_1(A), u2_cat_1(C), u1_cat_1(A), u2_cat_1(C), k14_isocat_2(A, B, C, D, F, k8_nattra_1(A, k11_cat_2(B, C), D, E, F, G, H)), k8_nattra_1(A, C, k12_isocat_2(A, B, C, D), k12_isocat_2(A, B, C, E), k12_isocat_2(A, B, C, F), k14_isocat_2(A, B, C, D, E, G), k14_isocat_2(A, B, C, E, F, H)))))) | (~(r2_nattra_1(A, k11_cat_2(B, C), D, E) & r2_nattra_1(A, k11_cat_2(B, C), E, F))) | (~m2_cat_1(F, A, k11_cat_2(B, C))))))))))),
% 18.72/18.89 inference(rewrite,[status(thm)],[])).
% 18.72/18.89 tff(37,plain,
% 18.72/18.89 ((~![A: $i] : ((v2_cat_1(A) & l1_cat_1(A)) => ![B: $i] : ((v2_cat_1(B) & l1_cat_1(B)) => ![C: $i] : ((v2_cat_1(C) & l1_cat_1(C)) => ![D: $i] : (m2_cat_1(D, A, k11_cat_2(B, C)) => ![E: $i] : (m2_cat_1(E, A, k11_cat_2(B, C)) => ![F: $i] : (m2_cat_1(F, A, k11_cat_2(B, C)) => ((r2_nattra_1(A, k11_cat_2(B, C), D, E) & r2_nattra_1(A, k11_cat_2(B, C), E, F)) => ![G: $i] : (m2_nattra_1(G, A, k11_cat_2(B, C), D, E) => ![H: $i] : (m2_nattra_1(H, A, k11_cat_2(B, C), E, F) => (r4_nattra_1(u1_cat_1(A), u2_cat_1(B), u1_cat_1(A), u2_cat_1(B), k13_isocat_2(A, B, C, D, F, k8_nattra_1(A, k11_cat_2(B, C), D, E, F, G, H)), k8_nattra_1(A, B, k11_isocat_2(A, B, C, D), k11_isocat_2(A, B, C, E), k11_isocat_2(A, B, C, F), k13_isocat_2(A, B, C, D, E, G), k13_isocat_2(A, B, C, E, F, H))) & r4_nattra_1(u1_cat_1(A), u2_cat_1(C), u1_cat_1(A), u2_cat_1(C), k14_isocat_2(A, B, C, D, F, k8_nattra_1(A, k11_cat_2(B, C), D, E, F, G, H)), k8_nattra_1(A, C, k12_isocat_2(A, B, C, D), k12_isocat_2(A, B, C, E), k12_isocat_2(A, B, C, F), k14_isocat_2(A, B, C, D, E, G), k14_isocat_2(A, B, C, E, F, H)))))))))))))) <=> (~![A: $i] : ((~(v2_cat_1(A) & l1_cat_1(A))) | ![B: $i] : ((~(v2_cat_1(B) & l1_cat_1(B))) | ![C: $i] : ((~(v2_cat_1(C) & l1_cat_1(C))) | ![D: $i] : ((~m2_cat_1(D, A, k11_cat_2(B, C))) | ![E: $i] : ((~m2_cat_1(E, A, k11_cat_2(B, C))) | ![F: $i] : (![G: $i] : ((~m2_nattra_1(G, A, k11_cat_2(B, C), D, E)) | ![H: $i] : ((~m2_nattra_1(H, A, k11_cat_2(B, C), E, F)) | (r4_nattra_1(u1_cat_1(A), u2_cat_1(B), u1_cat_1(A), u2_cat_1(B), k13_isocat_2(A, B, C, D, F, k8_nattra_1(A, k11_cat_2(B, C), D, E, F, G, H)), k8_nattra_1(A, B, k11_isocat_2(A, B, C, D), k11_isocat_2(A, B, C, E), k11_isocat_2(A, B, C, F), k13_isocat_2(A, B, C, D, E, G), k13_isocat_2(A, B, C, E, F, H))) & r4_nattra_1(u1_cat_1(A), u2_cat_1(C), u1_cat_1(A), u2_cat_1(C), k14_isocat_2(A, B, C, D, F, k8_nattra_1(A, k11_cat_2(B, C), D, E, F, G, H)), k8_nattra_1(A, C, k12_isocat_2(A, B, C, D), k12_isocat_2(A, B, C, E), k12_isocat_2(A, B, C, F), k14_isocat_2(A, B, C, D, E, G), k14_isocat_2(A, B, C, E, F, H)))))) | (~(r2_nattra_1(A, k11_cat_2(B, C), D, E) & r2_nattra_1(A, k11_cat_2(B, C), E, F))) | (~m2_cat_1(F, A, k11_cat_2(B, C))))))))))),
% 18.72/18.89 inference(rewrite,[status(thm)],[])).
% 18.72/18.89 tff(38,axiom,(~![A: $i] : ((v2_cat_1(A) & l1_cat_1(A)) => ![B: $i] : ((v2_cat_1(B) & l1_cat_1(B)) => ![C: $i] : ((v2_cat_1(C) & l1_cat_1(C)) => ![D: $i] : (m2_cat_1(D, A, k11_cat_2(B, C)) => ![E: $i] : (m2_cat_1(E, A, k11_cat_2(B, C)) => ![F: $i] : (m2_cat_1(F, A, k11_cat_2(B, C)) => ((r2_nattra_1(A, k11_cat_2(B, C), D, E) & r2_nattra_1(A, k11_cat_2(B, C), E, F)) => ![G: $i] : (m2_nattra_1(G, A, k11_cat_2(B, C), D, E) => ![H: $i] : (m2_nattra_1(H, A, k11_cat_2(B, C), E, F) => (r4_nattra_1(u1_cat_1(A), u2_cat_1(B), u1_cat_1(A), u2_cat_1(B), k13_isocat_2(A, B, C, D, F, k8_nattra_1(A, k11_cat_2(B, C), D, E, F, G, H)), k8_nattra_1(A, B, k11_isocat_2(A, B, C, D), k11_isocat_2(A, B, C, E), k11_isocat_2(A, B, C, F), k13_isocat_2(A, B, C, D, E, G), k13_isocat_2(A, B, C, E, F, H))) & r4_nattra_1(u1_cat_1(A), u2_cat_1(C), u1_cat_1(A), u2_cat_1(C), k14_isocat_2(A, B, C, D, F, k8_nattra_1(A, k11_cat_2(B, C), D, E, F, G, H)), k8_nattra_1(A, C, k12_isocat_2(A, B, C, D), k12_isocat_2(A, B, C, E), k12_isocat_2(A, B, C, F), k14_isocat_2(A, B, C, D, E, G), k14_isocat_2(A, B, C, E, F, H)))))))))))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','t41_isocat_2')).
% 18.72/18.89 tff(39,plain,
% 18.72/18.89 (~![A: $i] : ((~(v2_cat_1(A) & l1_cat_1(A))) | ![B: $i] : ((~(v2_cat_1(B) & l1_cat_1(B))) | ![C: $i] : ((~(v2_cat_1(C) & l1_cat_1(C))) | ![D: $i] : ((~m2_cat_1(D, A, k11_cat_2(B, C))) | ![E: $i] : ((~m2_cat_1(E, A, k11_cat_2(B, C))) | ![F: $i] : (![G: $i] : ((~m2_nattra_1(G, A, k11_cat_2(B, C), D, E)) | ![H: $i] : ((~m2_nattra_1(H, A, k11_cat_2(B, C), E, F)) | (r4_nattra_1(u1_cat_1(A), u2_cat_1(B), u1_cat_1(A), u2_cat_1(B), k13_isocat_2(A, B, C, D, F, k8_nattra_1(A, k11_cat_2(B, C), D, E, F, G, H)), k8_nattra_1(A, B, k11_isocat_2(A, B, C, D), k11_isocat_2(A, B, C, E), k11_isocat_2(A, B, C, F), k13_isocat_2(A, B, C, D, E, G), k13_isocat_2(A, B, C, E, F, H))) & r4_nattra_1(u1_cat_1(A), u2_cat_1(C), u1_cat_1(A), u2_cat_1(C), k14_isocat_2(A, B, C, D, F, k8_nattra_1(A, k11_cat_2(B, C), D, E, F, G, H)), k8_nattra_1(A, C, k12_isocat_2(A, B, C, D), k12_isocat_2(A, B, C, E), k12_isocat_2(A, B, C, F), k14_isocat_2(A, B, C, D, E, G), k14_isocat_2(A, B, C, E, F, H)))))) | (~(r2_nattra_1(A, k11_cat_2(B, C), D, E) & r2_nattra_1(A, k11_cat_2(B, C), E, F))) | (~m2_cat_1(F, A, k11_cat_2(B, C)))))))))),
% 18.72/18.89 inference(modus_ponens,[status(thm)],[38, 37])).
% 18.72/18.89 tff(40,plain,
% 18.72/18.89 (~![A: $i] : ((~(v2_cat_1(A) & l1_cat_1(A))) | ![B: $i] : ((~(v2_cat_1(B) & l1_cat_1(B))) | ![C: $i] : ((~(v2_cat_1(C) & l1_cat_1(C))) | ![D: $i] : ((~m2_cat_1(D, A, k11_cat_2(B, C))) | ![E: $i] : ((~m2_cat_1(E, A, k11_cat_2(B, C))) | ![F: $i] : (![G: $i] : ((~m2_nattra_1(G, A, k11_cat_2(B, C), D, E)) | ![H: $i] : ((~m2_nattra_1(H, A, k11_cat_2(B, C), E, F)) | (r4_nattra_1(u1_cat_1(A), u2_cat_1(B), u1_cat_1(A), u2_cat_1(B), k13_isocat_2(A, B, C, D, F, k8_nattra_1(A, k11_cat_2(B, C), D, E, F, G, H)), k8_nattra_1(A, B, k11_isocat_2(A, B, C, D), k11_isocat_2(A, B, C, E), k11_isocat_2(A, B, C, F), k13_isocat_2(A, B, C, D, E, G), k13_isocat_2(A, B, C, E, F, H))) & r4_nattra_1(u1_cat_1(A), u2_cat_1(C), u1_cat_1(A), u2_cat_1(C), k14_isocat_2(A, B, C, D, F, k8_nattra_1(A, k11_cat_2(B, C), D, E, F, G, H)), k8_nattra_1(A, C, k12_isocat_2(A, B, C, D), k12_isocat_2(A, B, C, E), k12_isocat_2(A, B, C, F), k14_isocat_2(A, B, C, D, E, G), k14_isocat_2(A, B, C, E, F, H)))))) | (~(r2_nattra_1(A, k11_cat_2(B, C), D, E) & r2_nattra_1(A, k11_cat_2(B, C), E, F))) | (~m2_cat_1(F, A, k11_cat_2(B, C)))))))))),
% 18.72/18.89 inference(modus_ponens,[status(thm)],[39, 36])).
% 18.72/18.89 tff(41,plain,
% 18.72/18.89 (~![A: $i] : ((~(v2_cat_1(A) & l1_cat_1(A))) | ![B: $i] : ((~(v2_cat_1(B) & l1_cat_1(B))) | ![C: $i] : ((~(v2_cat_1(C) & l1_cat_1(C))) | ![D: $i] : ((~m2_cat_1(D, A, k11_cat_2(B, C))) | ![E: $i] : ((~m2_cat_1(E, A, k11_cat_2(B, C))) | ![F: $i] : (![G: $i] : ((~m2_nattra_1(G, A, k11_cat_2(B, C), D, E)) | ![H: $i] : ((~m2_nattra_1(H, A, k11_cat_2(B, C), E, F)) | (r4_nattra_1(u1_cat_1(A), u2_cat_1(B), u1_cat_1(A), u2_cat_1(B), k13_isocat_2(A, B, C, D, F, k8_nattra_1(A, k11_cat_2(B, C), D, E, F, G, H)), k8_nattra_1(A, B, k11_isocat_2(A, B, C, D), k11_isocat_2(A, B, C, E), k11_isocat_2(A, B, C, F), k13_isocat_2(A, B, C, D, E, G), k13_isocat_2(A, B, C, E, F, H))) & r4_nattra_1(u1_cat_1(A), u2_cat_1(C), u1_cat_1(A), u2_cat_1(C), k14_isocat_2(A, B, C, D, F, k8_nattra_1(A, k11_cat_2(B, C), D, E, F, G, H)), k8_nattra_1(A, C, k12_isocat_2(A, B, C, D), k12_isocat_2(A, B, C, E), k12_isocat_2(A, B, C, F), k14_isocat_2(A, B, C, D, E, G), k14_isocat_2(A, B, C, E, F, H)))))) | (~(r2_nattra_1(A, k11_cat_2(B, C), D, E) & r2_nattra_1(A, k11_cat_2(B, C), E, F))) | (~m2_cat_1(F, A, k11_cat_2(B, C)))))))))),
% 18.72/18.89 inference(modus_ponens,[status(thm)],[40, 36])).
% 18.72/18.89 tff(42,plain,
% 18.72/18.89 (~![A: $i] : ((~(v2_cat_1(A) & l1_cat_1(A))) | ![B: $i] : ((~(v2_cat_1(B) & l1_cat_1(B))) | ![C: $i] : ((~(v2_cat_1(C) & l1_cat_1(C))) | ![D: $i] : ((~m2_cat_1(D, A, k11_cat_2(B, C))) | ![E: $i] : ((~m2_cat_1(E, A, k11_cat_2(B, C))) | ![F: $i] : (![G: $i] : ((~m2_nattra_1(G, A, k11_cat_2(B, C), D, E)) | ![H: $i] : ((~m2_nattra_1(H, A, k11_cat_2(B, C), E, F)) | (r4_nattra_1(u1_cat_1(A), u2_cat_1(B), u1_cat_1(A), u2_cat_1(B), k13_isocat_2(A, B, C, D, F, k8_nattra_1(A, k11_cat_2(B, C), D, E, F, G, H)), k8_nattra_1(A, B, k11_isocat_2(A, B, C, D), k11_isocat_2(A, B, C, E), k11_isocat_2(A, B, C, F), k13_isocat_2(A, B, C, D, E, G), k13_isocat_2(A, B, C, E, F, H))) & r4_nattra_1(u1_cat_1(A), u2_cat_1(C), u1_cat_1(A), u2_cat_1(C), k14_isocat_2(A, B, C, D, F, k8_nattra_1(A, k11_cat_2(B, C), D, E, F, G, H)), k8_nattra_1(A, C, k12_isocat_2(A, B, C, D), k12_isocat_2(A, B, C, E), k12_isocat_2(A, B, C, F), k14_isocat_2(A, B, C, D, E, G), k14_isocat_2(A, B, C, E, F, H)))))) | (~(r2_nattra_1(A, k11_cat_2(B, C), D, E) & r2_nattra_1(A, k11_cat_2(B, C), E, F))) | (~m2_cat_1(F, A, k11_cat_2(B, C)))))))))),
% 18.72/18.90 inference(modus_ponens,[status(thm)],[41, 36])).
% 18.72/18.90 tff(43,plain,
% 18.72/18.90 (v2_cat_1(A!0) & l1_cat_1(A!0) & v2_cat_1(B!1) & l1_cat_1(B!1) & v2_cat_1(C!2) & l1_cat_1(C!2) & m2_cat_1(D!3, A!0, k11_cat_2(B!1, C!2)) & m2_cat_1(E!4, A!0, k11_cat_2(B!1, C!2)) & m2_nattra_1(G!6, A!0, k11_cat_2(B!1, C!2), D!3, E!4) & (~((~m2_nattra_1(H!7, A!0, k11_cat_2(B!1, C!2), E!4, F!5)) | (r4_nattra_1(u1_cat_1(A!0), u2_cat_1(B!1), u1_cat_1(A!0), u2_cat_1(B!1), k13_isocat_2(A!0, B!1, C!2, D!3, F!5, k8_nattra_1(A!0, k11_cat_2(B!1, C!2), D!3, E!4, F!5, G!6, H!7)), k8_nattra_1(A!0, B!1, k11_isocat_2(A!0, B!1, C!2, D!3), k11_isocat_2(A!0, B!1, C!2, E!4), k11_isocat_2(A!0, B!1, C!2, F!5), k13_isocat_2(A!0, B!1, C!2, D!3, E!4, G!6), k13_isocat_2(A!0, B!1, C!2, E!4, F!5, H!7))) & r4_nattra_1(u1_cat_1(A!0), u2_cat_1(C!2), u1_cat_1(A!0), u2_cat_1(C!2), k14_isocat_2(A!0, B!1, C!2, D!3, F!5, k8_nattra_1(A!0, k11_cat_2(B!1, C!2), D!3, E!4, F!5, G!6, H!7)), k8_nattra_1(A!0, C!2, k12_isocat_2(A!0, B!1, C!2, D!3), k12_isocat_2(A!0, B!1, C!2, E!4), k12_isocat_2(A!0, B!1, C!2, F!5), k14_isocat_2(A!0, B!1, C!2, D!3, E!4, G!6), k14_isocat_2(A!0, B!1, C!2, E!4, F!5, H!7)))))) & r2_nattra_1(A!0, k11_cat_2(B!1, C!2), D!3, E!4) & r2_nattra_1(A!0, k11_cat_2(B!1, C!2), E!4, F!5) & m2_cat_1(F!5, A!0, k11_cat_2(B!1, C!2))),
% 18.72/18.90 inference(modus_ponens,[status(thm)],[42, 35])).
% 18.72/18.90 tff(44,plain,
% 18.72/18.90 (l1_cat_1(A!0)),
% 18.72/18.90 inference(and_elim,[status(thm)],[43])).
% 18.72/18.90 tff(45,plain,
% 18.72/18.90 (v2_cat_1(A!0)),
% 18.72/18.90 inference(and_elim,[status(thm)],[43])).
% 18.72/18.90 tff(46,plain,
% 18.72/18.90 (((~![A: $i] : ((~l1_cat_1(A)) | (~v2_cat_1(A)) | ![B: $i] : ((~l1_cat_1(B)) | (~v2_cat_1(B)) | ![C: $i] : ((~l1_cat_1(C)) | (~v2_cat_1(C)) | ![D: $i] : ((~m2_cat_1(D, A, k11_cat_2(B, C))) | ![E: $i] : ((~m2_cat_1(E, A, k11_cat_2(B, C))) | ![F: $i] : ((~m2_nattra_1(F, A, k11_cat_2(B, C), D, E)) | (k13_isocat_2(A, B, C, D, E, F) = k6_isocat_1(A, k11_cat_2(B, C), B, D, E, F, k8_isocat_2(B, C)))))))))) | ((~l1_cat_1(A!0)) | (~v2_cat_1(A!0)) | ![B: $i] : ((~l1_cat_1(B)) | (~v2_cat_1(B)) | ![C: $i] : ((~l1_cat_1(C)) | (~v2_cat_1(C)) | ![D: $i] : ((~m2_cat_1(D, A!0, k11_cat_2(B, C))) | ![E: $i] : ((~m2_cat_1(E, A!0, k11_cat_2(B, C))) | ![F: $i] : ((~m2_nattra_1(F, A!0, k11_cat_2(B, C), D, E)) | (k13_isocat_2(A!0, B, C, D, E, F) = k6_isocat_1(A!0, k11_cat_2(B, C), B, D, E, F, k8_isocat_2(B, C)))))))))) <=> ((~![A: $i] : ((~l1_cat_1(A)) | (~v2_cat_1(A)) | ![B: $i] : ((~l1_cat_1(B)) | (~v2_cat_1(B)) | ![C: $i] : ((~l1_cat_1(C)) | (~v2_cat_1(C)) | ![D: $i] : ((~m2_cat_1(D, A, k11_cat_2(B, C))) | ![E: $i] : ((~m2_cat_1(E, A, k11_cat_2(B, C))) | ![F: $i] : ((~m2_nattra_1(F, A, k11_cat_2(B, C), D, E)) | (k13_isocat_2(A, B, C, D, E, F) = k6_isocat_1(A, k11_cat_2(B, C), B, D, E, F, k8_isocat_2(B, C)))))))))) | (~l1_cat_1(A!0)) | (~v2_cat_1(A!0)) | ![B: $i] : ((~l1_cat_1(B)) | (~v2_cat_1(B)) | ![C: $i] : ((~l1_cat_1(C)) | (~v2_cat_1(C)) | ![D: $i] : ((~m2_cat_1(D, A!0, k11_cat_2(B, C))) | ![E: $i] : ((~m2_cat_1(E, A!0, k11_cat_2(B, C))) | ![F: $i] : ((~m2_nattra_1(F, A!0, k11_cat_2(B, C), D, E)) | (k13_isocat_2(A!0, B, C, D, E, F) = k6_isocat_1(A!0, k11_cat_2(B, C), B, D, E, F, k8_isocat_2(B, C)))))))))),
% 18.72/18.90 inference(rewrite,[status(thm)],[])).
% 18.72/18.90 tff(47,plain,
% 18.72/18.90 ((~![A: $i] : ((~l1_cat_1(A)) | (~v2_cat_1(A)) | ![B: $i] : ((~l1_cat_1(B)) | (~v2_cat_1(B)) | ![C: $i] : ((~l1_cat_1(C)) | (~v2_cat_1(C)) | ![D: $i] : ((~m2_cat_1(D, A, k11_cat_2(B, C))) | ![E: $i] : ((~m2_cat_1(E, A, k11_cat_2(B, C))) | ![F: $i] : ((~m2_nattra_1(F, A, k11_cat_2(B, C), D, E)) | (k13_isocat_2(A, B, C, D, E, F) = k6_isocat_1(A, k11_cat_2(B, C), B, D, E, F, k8_isocat_2(B, C)))))))))) | ((~l1_cat_1(A!0)) | (~v2_cat_1(A!0)) | ![B: $i] : ((~l1_cat_1(B)) | (~v2_cat_1(B)) | ![C: $i] : ((~l1_cat_1(C)) | (~v2_cat_1(C)) | ![D: $i] : ((~m2_cat_1(D, A!0, k11_cat_2(B, C))) | ![E: $i] : ((~m2_cat_1(E, A!0, k11_cat_2(B, C))) | ![F: $i] : ((~m2_nattra_1(F, A!0, k11_cat_2(B, C), D, E)) | (k13_isocat_2(A!0, B, C, D, E, F) = k6_isocat_1(A!0, k11_cat_2(B, C), B, D, E, F, k8_isocat_2(B, C)))))))))),
% 18.72/18.90 inference(quant_inst,[status(thm)],[])).
% 18.72/18.90 tff(48,plain,
% 18.72/18.90 ((~![A: $i] : ((~l1_cat_1(A)) | (~v2_cat_1(A)) | ![B: $i] : ((~l1_cat_1(B)) | (~v2_cat_1(B)) | ![C: $i] : ((~l1_cat_1(C)) | (~v2_cat_1(C)) | ![D: $i] : ((~m2_cat_1(D, A, k11_cat_2(B, C))) | ![E: $i] : ((~m2_cat_1(E, A, k11_cat_2(B, C))) | ![F: $i] : ((~m2_nattra_1(F, A, k11_cat_2(B, C), D, E)) | (k13_isocat_2(A, B, C, D, E, F) = k6_isocat_1(A, k11_cat_2(B, C), B, D, E, F, k8_isocat_2(B, C)))))))))) | (~l1_cat_1(A!0)) | (~v2_cat_1(A!0)) | ![B: $i] : ((~l1_cat_1(B)) | (~v2_cat_1(B)) | ![C: $i] : ((~l1_cat_1(C)) | (~v2_cat_1(C)) | ![D: $i] : ((~m2_cat_1(D, A!0, k11_cat_2(B, C))) | ![E: $i] : ((~m2_cat_1(E, A!0, k11_cat_2(B, C))) | ![F: $i] : ((~m2_nattra_1(F, A!0, k11_cat_2(B, C), D, E)) | (k13_isocat_2(A!0, B, C, D, E, F) = k6_isocat_1(A!0, k11_cat_2(B, C), B, D, E, F, k8_isocat_2(B, C))))))))),
% 18.72/18.90 inference(modus_ponens,[status(thm)],[47, 46])).
% 18.72/18.90 tff(49,plain,
% 18.72/18.90 (![B: $i] : ((~l1_cat_1(B)) | (~v2_cat_1(B)) | ![C: $i] : ((~l1_cat_1(C)) | (~v2_cat_1(C)) | ![D: $i] : ((~m2_cat_1(D, A!0, k11_cat_2(B, C))) | ![E: $i] : ((~m2_cat_1(E, A!0, k11_cat_2(B, C))) | ![F: $i] : ((~m2_nattra_1(F, A!0, k11_cat_2(B, C), D, E)) | (k13_isocat_2(A!0, B, C, D, E, F) = k6_isocat_1(A!0, k11_cat_2(B, C), B, D, E, F, k8_isocat_2(B, C))))))))),
% 18.72/18.90 inference(unit_resolution,[status(thm)],[48, 45, 44, 19])).
% 18.72/18.90 tff(50,plain,
% 18.72/18.90 (l1_cat_1(B!1)),
% 18.72/18.90 inference(and_elim,[status(thm)],[43])).
% 18.72/18.90 tff(51,plain,
% 18.72/18.90 (v2_cat_1(B!1)),
% 18.72/18.90 inference(and_elim,[status(thm)],[43])).
% 18.72/18.90 tff(52,plain,
% 18.72/18.90 (((~![B: $i] : ((~l1_cat_1(B)) | (~v2_cat_1(B)) | ![C: $i] : ((~l1_cat_1(C)) | (~v2_cat_1(C)) | ![D: $i] : ((~m2_cat_1(D, A!0, k11_cat_2(B, C))) | ![E: $i] : ((~m2_cat_1(E, A!0, k11_cat_2(B, C))) | ![F: $i] : ((~m2_nattra_1(F, A!0, k11_cat_2(B, C), D, E)) | (k13_isocat_2(A!0, B, C, D, E, F) = k6_isocat_1(A!0, k11_cat_2(B, C), B, D, E, F, k8_isocat_2(B, C))))))))) | ((~l1_cat_1(B!1)) | (~v2_cat_1(B!1)) | ![C: $i] : ((~l1_cat_1(C)) | (~v2_cat_1(C)) | ![D: $i] : ((~m2_cat_1(D, A!0, k11_cat_2(B!1, C))) | ![E: $i] : ((~m2_cat_1(E, A!0, k11_cat_2(B!1, C))) | ![F: $i] : ((~m2_nattra_1(F, A!0, k11_cat_2(B!1, C), D, E)) | (k13_isocat_2(A!0, B!1, C, D, E, F) = k6_isocat_1(A!0, k11_cat_2(B!1, C), B!1, D, E, F, k8_isocat_2(B!1, C))))))))) <=> ((~![B: $i] : ((~l1_cat_1(B)) | (~v2_cat_1(B)) | ![C: $i] : ((~l1_cat_1(C)) | (~v2_cat_1(C)) | ![D: $i] : ((~m2_cat_1(D, A!0, k11_cat_2(B, C))) | ![E: $i] : ((~m2_cat_1(E, A!0, k11_cat_2(B, C))) | ![F: $i] : ((~m2_nattra_1(F, A!0, k11_cat_2(B, C), D, E)) | (k13_isocat_2(A!0, B, C, D, E, F) = k6_isocat_1(A!0, k11_cat_2(B, C), B, D, E, F, k8_isocat_2(B, C))))))))) | (~l1_cat_1(B!1)) | (~v2_cat_1(B!1)) | ![C: $i] : ((~l1_cat_1(C)) | (~v2_cat_1(C)) | ![D: $i] : ((~m2_cat_1(D, A!0, k11_cat_2(B!1, C))) | ![E: $i] : ((~m2_cat_1(E, A!0, k11_cat_2(B!1, C))) | ![F: $i] : ((~m2_nattra_1(F, A!0, k11_cat_2(B!1, C), D, E)) | (k13_isocat_2(A!0, B!1, C, D, E, F) = k6_isocat_1(A!0, k11_cat_2(B!1, C), B!1, D, E, F, k8_isocat_2(B!1, C))))))))),
% 18.72/18.90 inference(rewrite,[status(thm)],[])).
% 18.72/18.90 tff(53,plain,
% 18.72/18.90 ((~![B: $i] : ((~l1_cat_1(B)) | (~v2_cat_1(B)) | ![C: $i] : ((~l1_cat_1(C)) | (~v2_cat_1(C)) | ![D: $i] : ((~m2_cat_1(D, A!0, k11_cat_2(B, C))) | ![E: $i] : ((~m2_cat_1(E, A!0, k11_cat_2(B, C))) | ![F: $i] : ((~m2_nattra_1(F, A!0, k11_cat_2(B, C), D, E)) | (k13_isocat_2(A!0, B, C, D, E, F) = k6_isocat_1(A!0, k11_cat_2(B, C), B, D, E, F, k8_isocat_2(B, C))))))))) | ((~l1_cat_1(B!1)) | (~v2_cat_1(B!1)) | ![C: $i] : ((~l1_cat_1(C)) | (~v2_cat_1(C)) | ![D: $i] : ((~m2_cat_1(D, A!0, k11_cat_2(B!1, C))) | ![E: $i] : ((~m2_cat_1(E, A!0, k11_cat_2(B!1, C))) | ![F: $i] : ((~m2_nattra_1(F, A!0, k11_cat_2(B!1, C), D, E)) | (k13_isocat_2(A!0, B!1, C, D, E, F) = k6_isocat_1(A!0, k11_cat_2(B!1, C), B!1, D, E, F, k8_isocat_2(B!1, C))))))))),
% 18.72/18.90 inference(quant_inst,[status(thm)],[])).
% 18.72/18.90 tff(54,plain,
% 18.72/18.90 ((~![B: $i] : ((~l1_cat_1(B)) | (~v2_cat_1(B)) | ![C: $i] : ((~l1_cat_1(C)) | (~v2_cat_1(C)) | ![D: $i] : ((~m2_cat_1(D, A!0, k11_cat_2(B, C))) | ![E: $i] : ((~m2_cat_1(E, A!0, k11_cat_2(B, C))) | ![F: $i] : ((~m2_nattra_1(F, A!0, k11_cat_2(B, C), D, E)) | (k13_isocat_2(A!0, B, C, D, E, F) = k6_isocat_1(A!0, k11_cat_2(B, C), B, D, E, F, k8_isocat_2(B, C))))))))) | (~l1_cat_1(B!1)) | (~v2_cat_1(B!1)) | ![C: $i] : ((~l1_cat_1(C)) | (~v2_cat_1(C)) | ![D: $i] : ((~m2_cat_1(D, A!0, k11_cat_2(B!1, C))) | ![E: $i] : ((~m2_cat_1(E, A!0, k11_cat_2(B!1, C))) | ![F: $i] : ((~m2_nattra_1(F, A!0, k11_cat_2(B!1, C), D, E)) | (k13_isocat_2(A!0, B!1, C, D, E, F) = k6_isocat_1(A!0, k11_cat_2(B!1, C), B!1, D, E, F, k8_isocat_2(B!1, C)))))))),
% 18.72/18.90 inference(modus_ponens,[status(thm)],[53, 52])).
% 18.72/18.90 tff(55,plain,
% 18.72/18.90 (![C: $i] : ((~l1_cat_1(C)) | (~v2_cat_1(C)) | ![D: $i] : ((~m2_cat_1(D, A!0, k11_cat_2(B!1, C))) | ![E: $i] : ((~m2_cat_1(E, A!0, k11_cat_2(B!1, C))) | ![F: $i] : ((~m2_nattra_1(F, A!0, k11_cat_2(B!1, C), D, E)) | (k13_isocat_2(A!0, B!1, C, D, E, F) = k6_isocat_1(A!0, k11_cat_2(B!1, C), B!1, D, E, F, k8_isocat_2(B!1, C)))))))),
% 18.72/18.90 inference(unit_resolution,[status(thm)],[54, 51, 50, 49])).
% 18.72/18.90 tff(56,plain,
% 18.72/18.90 (l1_cat_1(C!2)),
% 18.72/18.90 inference(and_elim,[status(thm)],[43])).
% 18.72/18.90 tff(57,plain,
% 18.72/18.90 (v2_cat_1(C!2)),
% 18.72/18.90 inference(and_elim,[status(thm)],[43])).
% 18.72/18.90 tff(58,plain,
% 18.72/18.90 (((~![C: $i] : ((~l1_cat_1(C)) | (~v2_cat_1(C)) | ![D: $i] : ((~m2_cat_1(D, A!0, k11_cat_2(B!1, C))) | ![E: $i] : ((~m2_cat_1(E, A!0, k11_cat_2(B!1, C))) | ![F: $i] : ((~m2_nattra_1(F, A!0, k11_cat_2(B!1, C), D, E)) | (k13_isocat_2(A!0, B!1, C, D, E, F) = k6_isocat_1(A!0, k11_cat_2(B!1, C), B!1, D, E, F, k8_isocat_2(B!1, C)))))))) | ((~l1_cat_1(C!2)) | (~v2_cat_1(C!2)) | ![D: $i] : ((~m2_cat_1(D, A!0, k11_cat_2(B!1, C!2))) | ![E: $i] : ((~m2_cat_1(E, A!0, k11_cat_2(B!1, C!2))) | ![F: $i] : ((~m2_nattra_1(F, A!0, k11_cat_2(B!1, C!2), D, E)) | (k13_isocat_2(A!0, B!1, C!2, D, E, F) = k6_isocat_1(A!0, k11_cat_2(B!1, C!2), B!1, D, E, F, k8_isocat_2(B!1, C!2)))))))) <=> ((~![C: $i] : ((~l1_cat_1(C)) | (~v2_cat_1(C)) | ![D: $i] : ((~m2_cat_1(D, A!0, k11_cat_2(B!1, C))) | ![E: $i] : ((~m2_cat_1(E, A!0, k11_cat_2(B!1, C))) | ![F: $i] : ((~m2_nattra_1(F, A!0, k11_cat_2(B!1, C), D, E)) | (k13_isocat_2(A!0, B!1, C, D, E, F) = k6_isocat_1(A!0, k11_cat_2(B!1, C), B!1, D, E, F, k8_isocat_2(B!1, C)))))))) | (~l1_cat_1(C!2)) | (~v2_cat_1(C!2)) | ![D: $i] : ((~m2_cat_1(D, A!0, k11_cat_2(B!1, C!2))) | ![E: $i] : ((~m2_cat_1(E, A!0, k11_cat_2(B!1, C!2))) | ![F: $i] : ((~m2_nattra_1(F, A!0, k11_cat_2(B!1, C!2), D, E)) | (k13_isocat_2(A!0, B!1, C!2, D, E, F) = k6_isocat_1(A!0, k11_cat_2(B!1, C!2), B!1, D, E, F, k8_isocat_2(B!1, C!2)))))))),
% 18.72/18.90 inference(rewrite,[status(thm)],[])).
% 18.72/18.90 tff(59,plain,
% 18.72/18.90 ((~![C: $i] : ((~l1_cat_1(C)) | (~v2_cat_1(C)) | ![D: $i] : ((~m2_cat_1(D, A!0, k11_cat_2(B!1, C))) | ![E: $i] : ((~m2_cat_1(E, A!0, k11_cat_2(B!1, C))) | ![F: $i] : ((~m2_nattra_1(F, A!0, k11_cat_2(B!1, C), D, E)) | (k13_isocat_2(A!0, B!1, C, D, E, F) = k6_isocat_1(A!0, k11_cat_2(B!1, C), B!1, D, E, F, k8_isocat_2(B!1, C)))))))) | ((~l1_cat_1(C!2)) | (~v2_cat_1(C!2)) | ![D: $i] : ((~m2_cat_1(D, A!0, k11_cat_2(B!1, C!2))) | ![E: $i] : ((~m2_cat_1(E, A!0, k11_cat_2(B!1, C!2))) | ![F: $i] : ((~m2_nattra_1(F, A!0, k11_cat_2(B!1, C!2), D, E)) | (k13_isocat_2(A!0, B!1, C!2, D, E, F) = k6_isocat_1(A!0, k11_cat_2(B!1, C!2), B!1, D, E, F, k8_isocat_2(B!1, C!2)))))))),
% 18.72/18.90 inference(quant_inst,[status(thm)],[])).
% 18.72/18.90 tff(60,plain,
% 18.72/18.90 ((~![C: $i] : ((~l1_cat_1(C)) | (~v2_cat_1(C)) | ![D: $i] : ((~m2_cat_1(D, A!0, k11_cat_2(B!1, C))) | ![E: $i] : ((~m2_cat_1(E, A!0, k11_cat_2(B!1, C))) | ![F: $i] : ((~m2_nattra_1(F, A!0, k11_cat_2(B!1, C), D, E)) | (k13_isocat_2(A!0, B!1, C, D, E, F) = k6_isocat_1(A!0, k11_cat_2(B!1, C), B!1, D, E, F, k8_isocat_2(B!1, C)))))))) | (~l1_cat_1(C!2)) | (~v2_cat_1(C!2)) | ![D: $i] : ((~m2_cat_1(D, A!0, k11_cat_2(B!1, C!2))) | ![E: $i] : ((~m2_cat_1(E, A!0, k11_cat_2(B!1, C!2))) | ![F: $i] : ((~m2_nattra_1(F, A!0, k11_cat_2(B!1, C!2), D, E)) | (k13_isocat_2(A!0, B!1, C!2, D, E, F) = k6_isocat_1(A!0, k11_cat_2(B!1, C!2), B!1, D, E, F, k8_isocat_2(B!1, C!2))))))),
% 18.72/18.90 inference(modus_ponens,[status(thm)],[59, 58])).
% 18.72/18.90 tff(61,plain,
% 18.72/18.90 (![D: $i] : ((~m2_cat_1(D, A!0, k11_cat_2(B!1, C!2))) | ![E: $i] : ((~m2_cat_1(E, A!0, k11_cat_2(B!1, C!2))) | ![F: $i] : ((~m2_nattra_1(F, A!0, k11_cat_2(B!1, C!2), D, E)) | (k13_isocat_2(A!0, B!1, C!2, D, E, F) = k6_isocat_1(A!0, k11_cat_2(B!1, C!2), B!1, D, E, F, k8_isocat_2(B!1, C!2))))))),
% 18.72/18.90 inference(unit_resolution,[status(thm)],[60, 57, 56, 55])).
% 18.72/18.90 tff(62,plain,
% 18.72/18.90 (m2_cat_1(E!4, A!0, k11_cat_2(B!1, C!2))),
% 18.72/18.90 inference(and_elim,[status(thm)],[43])).
% 18.72/18.90 tff(63,plain,
% 18.72/18.90 (((~![D: $i] : ((~m2_cat_1(D, A!0, k11_cat_2(B!1, C!2))) | ![E: $i] : ((~m2_cat_1(E, A!0, k11_cat_2(B!1, C!2))) | ![F: $i] : ((~m2_nattra_1(F, A!0, k11_cat_2(B!1, C!2), D, E)) | (k13_isocat_2(A!0, B!1, C!2, D, E, F) = k6_isocat_1(A!0, k11_cat_2(B!1, C!2), B!1, D, E, F, k8_isocat_2(B!1, C!2))))))) | ((~m2_cat_1(E!4, A!0, k11_cat_2(B!1, C!2))) | ![E: $i] : ((~m2_cat_1(E, A!0, k11_cat_2(B!1, C!2))) | ![F: $i] : ((~m2_nattra_1(F, A!0, k11_cat_2(B!1, C!2), E!4, E)) | (k13_isocat_2(A!0, B!1, C!2, E!4, E, F) = k6_isocat_1(A!0, k11_cat_2(B!1, C!2), B!1, E!4, E, F, k8_isocat_2(B!1, C!2))))))) <=> ((~![D: $i] : ((~m2_cat_1(D, A!0, k11_cat_2(B!1, C!2))) | ![E: $i] : ((~m2_cat_1(E, A!0, k11_cat_2(B!1, C!2))) | ![F: $i] : ((~m2_nattra_1(F, A!0, k11_cat_2(B!1, C!2), D, E)) | (k13_isocat_2(A!0, B!1, C!2, D, E, F) = k6_isocat_1(A!0, k11_cat_2(B!1, C!2), B!1, D, E, F, k8_isocat_2(B!1, C!2))))))) | (~m2_cat_1(E!4, A!0, k11_cat_2(B!1, C!2))) | ![E: $i] : ((~m2_cat_1(E, A!0, k11_cat_2(B!1, C!2))) | ![F: $i] : ((~m2_nattra_1(F, A!0, k11_cat_2(B!1, C!2), E!4, E)) | (k13_isocat_2(A!0, B!1, C!2, E!4, E, F) = k6_isocat_1(A!0, k11_cat_2(B!1, C!2), B!1, E!4, E, F, k8_isocat_2(B!1, C!2))))))),
% 18.72/18.90 inference(rewrite,[status(thm)],[])).
% 18.72/18.90 tff(64,plain,
% 18.72/18.90 ((~![D: $i] : ((~m2_cat_1(D, A!0, k11_cat_2(B!1, C!2))) | ![E: $i] : ((~m2_cat_1(E, A!0, k11_cat_2(B!1, C!2))) | ![F: $i] : ((~m2_nattra_1(F, A!0, k11_cat_2(B!1, C!2), D, E)) | (k13_isocat_2(A!0, B!1, C!2, D, E, F) = k6_isocat_1(A!0, k11_cat_2(B!1, C!2), B!1, D, E, F, k8_isocat_2(B!1, C!2))))))) | ((~m2_cat_1(E!4, A!0, k11_cat_2(B!1, C!2))) | ![E: $i] : ((~m2_cat_1(E, A!0, k11_cat_2(B!1, C!2))) | ![F: $i] : ((~m2_nattra_1(F, A!0, k11_cat_2(B!1, C!2), E!4, E)) | (k13_isocat_2(A!0, B!1, C!2, E!4, E, F) = k6_isocat_1(A!0, k11_cat_2(B!1, C!2), B!1, E!4, E, F, k8_isocat_2(B!1, C!2))))))),
% 18.72/18.90 inference(quant_inst,[status(thm)],[])).
% 18.72/18.90 tff(65,plain,
% 18.72/18.90 ((~![D: $i] : ((~m2_cat_1(D, A!0, k11_cat_2(B!1, C!2))) | ![E: $i] : ((~m2_cat_1(E, A!0, k11_cat_2(B!1, C!2))) | ![F: $i] : ((~m2_nattra_1(F, A!0, k11_cat_2(B!1, C!2), D, E)) | (k13_isocat_2(A!0, B!1, C!2, D, E, F) = k6_isocat_1(A!0, k11_cat_2(B!1, C!2), B!1, D, E, F, k8_isocat_2(B!1, C!2))))))) | (~m2_cat_1(E!4, A!0, k11_cat_2(B!1, C!2))) | ![E: $i] : ((~m2_cat_1(E, A!0, k11_cat_2(B!1, C!2))) | ![F: $i] : ((~m2_nattra_1(F, A!0, k11_cat_2(B!1, C!2), E!4, E)) | (k13_isocat_2(A!0, B!1, C!2, E!4, E, F) = k6_isocat_1(A!0, k11_cat_2(B!1, C!2), B!1, E!4, E, F, k8_isocat_2(B!1, C!2)))))),
% 18.72/18.90 inference(modus_ponens,[status(thm)],[64, 63])).
% 18.72/18.90 tff(66,plain,
% 18.72/18.90 (![E: $i] : ((~m2_cat_1(E, A!0, k11_cat_2(B!1, C!2))) | ![F: $i] : ((~m2_nattra_1(F, A!0, k11_cat_2(B!1, C!2), E!4, E)) | (k13_isocat_2(A!0, B!1, C!2, E!4, E, F) = k6_isocat_1(A!0, k11_cat_2(B!1, C!2), B!1, E!4, E, F, k8_isocat_2(B!1, C!2)))))),
% 18.72/18.90 inference(unit_resolution,[status(thm)],[65, 62, 61])).
% 18.72/18.90 tff(67,plain,
% 18.72/18.90 (m2_cat_1(F!5, A!0, k11_cat_2(B!1, C!2))),
% 18.72/18.90 inference(and_elim,[status(thm)],[43])).
% 18.72/18.90 tff(68,plain,
% 18.72/18.90 (((~![E: $i] : ((~m2_cat_1(E, A!0, k11_cat_2(B!1, C!2))) | ![F: $i] : ((~m2_nattra_1(F, A!0, k11_cat_2(B!1, C!2), E!4, E)) | (k13_isocat_2(A!0, B!1, C!2, E!4, E, F) = k6_isocat_1(A!0, k11_cat_2(B!1, C!2), B!1, E!4, E, F, k8_isocat_2(B!1, C!2)))))) | ((~m2_cat_1(F!5, A!0, k11_cat_2(B!1, C!2))) | ![F: $i] : ((~m2_nattra_1(F, A!0, k11_cat_2(B!1, C!2), E!4, F!5)) | (k13_isocat_2(A!0, B!1, C!2, E!4, F!5, F) = k6_isocat_1(A!0, k11_cat_2(B!1, C!2), B!1, E!4, F!5, F, k8_isocat_2(B!1, C!2)))))) <=> ((~![E: $i] : ((~m2_cat_1(E, A!0, k11_cat_2(B!1, C!2))) | ![F: $i] : ((~m2_nattra_1(F, A!0, k11_cat_2(B!1, C!2), E!4, E)) | (k13_isocat_2(A!0, B!1, C!2, E!4, E, F) = k6_isocat_1(A!0, k11_cat_2(B!1, C!2), B!1, E!4, E, F, k8_isocat_2(B!1, C!2)))))) | (~m2_cat_1(F!5, A!0, k11_cat_2(B!1, C!2))) | ![F: $i] : ((~m2_nattra_1(F, A!0, k11_cat_2(B!1, C!2), E!4, F!5)) | (k13_isocat_2(A!0, B!1, C!2, E!4, F!5, F) = k6_isocat_1(A!0, k11_cat_2(B!1, C!2), B!1, E!4, F!5, F, k8_isocat_2(B!1, C!2)))))),
% 18.72/18.90 inference(rewrite,[status(thm)],[])).
% 18.72/18.90 tff(69,plain,
% 18.72/18.90 ((~![E: $i] : ((~m2_cat_1(E, A!0, k11_cat_2(B!1, C!2))) | ![F: $i] : ((~m2_nattra_1(F, A!0, k11_cat_2(B!1, C!2), E!4, E)) | (k13_isocat_2(A!0, B!1, C!2, E!4, E, F) = k6_isocat_1(A!0, k11_cat_2(B!1, C!2), B!1, E!4, E, F, k8_isocat_2(B!1, C!2)))))) | ((~m2_cat_1(F!5, A!0, k11_cat_2(B!1, C!2))) | ![F: $i] : ((~m2_nattra_1(F, A!0, k11_cat_2(B!1, C!2), E!4, F!5)) | (k13_isocat_2(A!0, B!1, C!2, E!4, F!5, F) = k6_isocat_1(A!0, k11_cat_2(B!1, C!2), B!1, E!4, F!5, F, k8_isocat_2(B!1, C!2)))))),
% 18.72/18.90 inference(quant_inst,[status(thm)],[])).
% 18.72/18.90 tff(70,plain,
% 18.72/18.90 ((~![E: $i] : ((~m2_cat_1(E, A!0, k11_cat_2(B!1, C!2))) | ![F: $i] : ((~m2_nattra_1(F, A!0, k11_cat_2(B!1, C!2), E!4, E)) | (k13_isocat_2(A!0, B!1, C!2, E!4, E, F) = k6_isocat_1(A!0, k11_cat_2(B!1, C!2), B!1, E!4, E, F, k8_isocat_2(B!1, C!2)))))) | (~m2_cat_1(F!5, A!0, k11_cat_2(B!1, C!2))) | ![F: $i] : ((~m2_nattra_1(F, A!0, k11_cat_2(B!1, C!2), E!4, F!5)) | (k13_isocat_2(A!0, B!1, C!2, E!4, F!5, F) = k6_isocat_1(A!0, k11_cat_2(B!1, C!2), B!1, E!4, F!5, F, k8_isocat_2(B!1, C!2))))),
% 18.72/18.90 inference(modus_ponens,[status(thm)],[69, 68])).
% 18.72/18.90 tff(71,plain,
% 18.72/18.90 (![F: $i] : ((~m2_nattra_1(F, A!0, k11_cat_2(B!1, C!2), E!4, F!5)) | (k13_isocat_2(A!0, B!1, C!2, E!4, F!5, F) = k6_isocat_1(A!0, k11_cat_2(B!1, C!2), B!1, E!4, F!5, F, k8_isocat_2(B!1, C!2))))),
% 18.72/18.90 inference(unit_resolution,[status(thm)],[70, 67, 66])).
% 18.72/18.90 tff(72,plain,
% 18.72/18.90 (~((~m2_nattra_1(H!7, A!0, k11_cat_2(B!1, C!2), E!4, F!5)) | (r4_nattra_1(u1_cat_1(A!0), u2_cat_1(B!1), u1_cat_1(A!0), u2_cat_1(B!1), k13_isocat_2(A!0, B!1, C!2, D!3, F!5, k8_nattra_1(A!0, k11_cat_2(B!1, C!2), D!3, E!4, F!5, G!6, H!7)), k8_nattra_1(A!0, B!1, k11_isocat_2(A!0, B!1, C!2, D!3), k11_isocat_2(A!0, B!1, C!2, E!4), k11_isocat_2(A!0, B!1, C!2, F!5), k13_isocat_2(A!0, B!1, C!2, D!3, E!4, G!6), k13_isocat_2(A!0, B!1, C!2, E!4, F!5, H!7))) & r4_nattra_1(u1_cat_1(A!0), u2_cat_1(C!2), u1_cat_1(A!0), u2_cat_1(C!2), k14_isocat_2(A!0, B!1, C!2, D!3, F!5, k8_nattra_1(A!0, k11_cat_2(B!1, C!2), D!3, E!4, F!5, G!6, H!7)), k8_nattra_1(A!0, C!2, k12_isocat_2(A!0, B!1, C!2, D!3), k12_isocat_2(A!0, B!1, C!2, E!4), k12_isocat_2(A!0, B!1, C!2, F!5), k14_isocat_2(A!0, B!1, C!2, D!3, E!4, G!6), k14_isocat_2(A!0, B!1, C!2, E!4, F!5, H!7)))))),
% 18.72/18.90 inference(and_elim,[status(thm)],[43])).
% 18.72/18.90 tff(73,plain,
% 18.72/18.90 (m2_nattra_1(H!7, A!0, k11_cat_2(B!1, C!2), E!4, F!5)),
% 18.72/18.90 inference(or_elim,[status(thm)],[72])).
% 18.72/18.90 tff(74,plain,
% 18.72/18.90 (((~![F: $i] : ((~m2_nattra_1(F, A!0, k11_cat_2(B!1, C!2), E!4, F!5)) | (k13_isocat_2(A!0, B!1, C!2, E!4, F!5, F) = k6_isocat_1(A!0, k11_cat_2(B!1, C!2), B!1, E!4, F!5, F, k8_isocat_2(B!1, C!2))))) | ((~m2_nattra_1(H!7, A!0, k11_cat_2(B!1, C!2), E!4, F!5)) | (k13_isocat_2(A!0, B!1, C!2, E!4, F!5, H!7) = k6_isocat_1(A!0, k11_cat_2(B!1, C!2), B!1, E!4, F!5, H!7, k8_isocat_2(B!1, C!2))))) <=> ((~![F: $i] : ((~m2_nattra_1(F, A!0, k11_cat_2(B!1, C!2), E!4, F!5)) | (k13_isocat_2(A!0, B!1, C!2, E!4, F!5, F) = k6_isocat_1(A!0, k11_cat_2(B!1, C!2), B!1, E!4, F!5, F, k8_isocat_2(B!1, C!2))))) | (~m2_nattra_1(H!7, A!0, k11_cat_2(B!1, C!2), E!4, F!5)) | (k13_isocat_2(A!0, B!1, C!2, E!4, F!5, H!7) = k6_isocat_1(A!0, k11_cat_2(B!1, C!2), B!1, E!4, F!5, H!7, k8_isocat_2(B!1, C!2))))),
% 18.72/18.91 inference(rewrite,[status(thm)],[])).
% 18.72/18.91 tff(75,plain,
% 18.72/18.91 ((~![F: $i] : ((~m2_nattra_1(F, A!0, k11_cat_2(B!1, C!2), E!4, F!5)) | (k13_isocat_2(A!0, B!1, C!2, E!4, F!5, F) = k6_isocat_1(A!0, k11_cat_2(B!1, C!2), B!1, E!4, F!5, F, k8_isocat_2(B!1, C!2))))) | ((~m2_nattra_1(H!7, A!0, k11_cat_2(B!1, C!2), E!4, F!5)) | (k13_isocat_2(A!0, B!1, C!2, E!4, F!5, H!7) = k6_isocat_1(A!0, k11_cat_2(B!1, C!2), B!1, E!4, F!5, H!7, k8_isocat_2(B!1, C!2))))),
% 18.72/18.91 inference(quant_inst,[status(thm)],[])).
% 18.72/18.91 tff(76,plain,
% 18.72/18.91 ((~![F: $i] : ((~m2_nattra_1(F, A!0, k11_cat_2(B!1, C!2), E!4, F!5)) | (k13_isocat_2(A!0, B!1, C!2, E!4, F!5, F) = k6_isocat_1(A!0, k11_cat_2(B!1, C!2), B!1, E!4, F!5, F, k8_isocat_2(B!1, C!2))))) | (~m2_nattra_1(H!7, A!0, k11_cat_2(B!1, C!2), E!4, F!5)) | (k13_isocat_2(A!0, B!1, C!2, E!4, F!5, H!7) = k6_isocat_1(A!0, k11_cat_2(B!1, C!2), B!1, E!4, F!5, H!7, k8_isocat_2(B!1, C!2)))),
% 18.72/18.91 inference(modus_ponens,[status(thm)],[75, 74])).
% 18.72/18.91 tff(77,plain,
% 18.72/18.91 (k13_isocat_2(A!0, B!1, C!2, E!4, F!5, H!7) = k6_isocat_1(A!0, k11_cat_2(B!1, C!2), B!1, E!4, F!5, H!7, k8_isocat_2(B!1, C!2))),
% 18.72/18.91 inference(unit_resolution,[status(thm)],[76, 73, 71])).
% 18.72/18.91 tff(78,plain,
% 18.72/18.91 (k6_isocat_1(A!0, k11_cat_2(B!1, C!2), B!1, E!4, F!5, H!7, k8_isocat_2(B!1, C!2)) = k13_isocat_2(A!0, B!1, C!2, E!4, F!5, H!7)),
% 18.72/18.91 inference(symmetry,[status(thm)],[77])).
% 18.72/18.91 tff(79,plain,
% 18.72/18.91 (^[A: $i, B: $i] : refl(((k8_isocat_2(A, B) = k16_cat_2(A, B)) | (~l1_cat_1(B)) | (~v2_cat_1(A)) | (~l1_cat_1(A)) | (~v2_cat_1(B))) <=> ((k8_isocat_2(A, B) = k16_cat_2(A, B)) | (~l1_cat_1(B)) | (~v2_cat_1(A)) | (~l1_cat_1(A)) | (~v2_cat_1(B))))),
% 18.72/18.91 inference(bind,[status(th)],[])).
% 18.72/18.91 tff(80,plain,
% 18.72/18.91 (![A: $i, B: $i] : ((k8_isocat_2(A, B) = k16_cat_2(A, B)) | (~l1_cat_1(B)) | (~v2_cat_1(A)) | (~l1_cat_1(A)) | (~v2_cat_1(B))) <=> ![A: $i, B: $i] : ((k8_isocat_2(A, B) = k16_cat_2(A, B)) | (~l1_cat_1(B)) | (~v2_cat_1(A)) | (~l1_cat_1(A)) | (~v2_cat_1(B)))),
% 18.72/18.91 inference(quant_intro,[status(thm)],[79])).
% 18.72/18.91 tff(81,plain,
% 18.72/18.91 (^[A: $i, B: $i] : trans(monotonicity(trans(monotonicity(rewrite((v2_cat_1(A) & l1_cat_1(A) & v2_cat_1(B) & l1_cat_1(B)) <=> (~((~l1_cat_1(B)) | (~v2_cat_1(A)) | (~l1_cat_1(A)) | (~v2_cat_1(B))))), ((~(v2_cat_1(A) & l1_cat_1(A) & v2_cat_1(B) & l1_cat_1(B))) <=> (~(~((~l1_cat_1(B)) | (~v2_cat_1(A)) | (~l1_cat_1(A)) | (~v2_cat_1(B))))))), rewrite((~(~((~l1_cat_1(B)) | (~v2_cat_1(A)) | (~l1_cat_1(A)) | (~v2_cat_1(B))))) <=> ((~l1_cat_1(B)) | (~v2_cat_1(A)) | (~l1_cat_1(A)) | (~v2_cat_1(B)))), ((~(v2_cat_1(A) & l1_cat_1(A) & v2_cat_1(B) & l1_cat_1(B))) <=> ((~l1_cat_1(B)) | (~v2_cat_1(A)) | (~l1_cat_1(A)) | (~v2_cat_1(B))))), (((~(v2_cat_1(A) & l1_cat_1(A) & v2_cat_1(B) & l1_cat_1(B))) | (k8_isocat_2(A, B) = k16_cat_2(A, B))) <=> (((~l1_cat_1(B)) | (~v2_cat_1(A)) | (~l1_cat_1(A)) | (~v2_cat_1(B))) | (k8_isocat_2(A, B) = k16_cat_2(A, B))))), rewrite((((~l1_cat_1(B)) | (~v2_cat_1(A)) | (~l1_cat_1(A)) | (~v2_cat_1(B))) | (k8_isocat_2(A, B) = k16_cat_2(A, B))) <=> ((k8_isocat_2(A, B) = k16_cat_2(A, B)) | (~l1_cat_1(B)) | (~v2_cat_1(A)) | (~l1_cat_1(A)) | (~v2_cat_1(B)))), (((~(v2_cat_1(A) & l1_cat_1(A) & v2_cat_1(B) & l1_cat_1(B))) | (k8_isocat_2(A, B) = k16_cat_2(A, B))) <=> ((k8_isocat_2(A, B) = k16_cat_2(A, B)) | (~l1_cat_1(B)) | (~v2_cat_1(A)) | (~l1_cat_1(A)) | (~v2_cat_1(B)))))),
% 18.72/18.91 inference(bind,[status(th)],[])).
% 18.72/18.91 tff(82,plain,
% 18.72/18.91 (![A: $i, B: $i] : ((~(v2_cat_1(A) & l1_cat_1(A) & v2_cat_1(B) & l1_cat_1(B))) | (k8_isocat_2(A, B) = k16_cat_2(A, B))) <=> ![A: $i, B: $i] : ((k8_isocat_2(A, B) = k16_cat_2(A, B)) | (~l1_cat_1(B)) | (~v2_cat_1(A)) | (~l1_cat_1(A)) | (~v2_cat_1(B)))),
% 18.72/18.91 inference(quant_intro,[status(thm)],[81])).
% 18.72/18.91 tff(83,plain,
% 18.72/18.91 (![A: $i, B: $i] : ((~(v2_cat_1(A) & l1_cat_1(A) & v2_cat_1(B) & l1_cat_1(B))) | (k8_isocat_2(A, B) = k16_cat_2(A, B))) <=> ![A: $i, B: $i] : ((~(v2_cat_1(A) & l1_cat_1(A) & v2_cat_1(B) & l1_cat_1(B))) | (k8_isocat_2(A, B) = k16_cat_2(A, B)))),
% 18.72/18.91 inference(rewrite,[status(thm)],[])).
% 18.72/18.91 tff(84,plain,
% 18.72/18.91 (^[A: $i, B: $i] : trans(monotonicity(trans(monotonicity(rewrite(((v2_cat_1(A) & l1_cat_1(A)) & v2_cat_1(B)) <=> (v2_cat_1(A) & l1_cat_1(A) & v2_cat_1(B))), ((((v2_cat_1(A) & l1_cat_1(A)) & v2_cat_1(B)) & l1_cat_1(B)) <=> ((v2_cat_1(A) & l1_cat_1(A) & v2_cat_1(B)) & l1_cat_1(B)))), rewrite(((v2_cat_1(A) & l1_cat_1(A) & v2_cat_1(B)) & l1_cat_1(B)) <=> (v2_cat_1(A) & l1_cat_1(A) & v2_cat_1(B) & l1_cat_1(B))), ((((v2_cat_1(A) & l1_cat_1(A)) & v2_cat_1(B)) & l1_cat_1(B)) <=> (v2_cat_1(A) & l1_cat_1(A) & v2_cat_1(B) & l1_cat_1(B)))), (((((v2_cat_1(A) & l1_cat_1(A)) & v2_cat_1(B)) & l1_cat_1(B)) => (k8_isocat_2(A, B) = k16_cat_2(A, B))) <=> ((v2_cat_1(A) & l1_cat_1(A) & v2_cat_1(B) & l1_cat_1(B)) => (k8_isocat_2(A, B) = k16_cat_2(A, B))))), rewrite(((v2_cat_1(A) & l1_cat_1(A) & v2_cat_1(B) & l1_cat_1(B)) => (k8_isocat_2(A, B) = k16_cat_2(A, B))) <=> ((~(v2_cat_1(A) & l1_cat_1(A) & v2_cat_1(B) & l1_cat_1(B))) | (k8_isocat_2(A, B) = k16_cat_2(A, B)))), (((((v2_cat_1(A) & l1_cat_1(A)) & v2_cat_1(B)) & l1_cat_1(B)) => (k8_isocat_2(A, B) = k16_cat_2(A, B))) <=> ((~(v2_cat_1(A) & l1_cat_1(A) & v2_cat_1(B) & l1_cat_1(B))) | (k8_isocat_2(A, B) = k16_cat_2(A, B)))))),
% 18.72/18.91 inference(bind,[status(th)],[])).
% 18.72/18.91 tff(85,plain,
% 18.72/18.91 (![A: $i, B: $i] : ((((v2_cat_1(A) & l1_cat_1(A)) & v2_cat_1(B)) & l1_cat_1(B)) => (k8_isocat_2(A, B) = k16_cat_2(A, B))) <=> ![A: $i, B: $i] : ((~(v2_cat_1(A) & l1_cat_1(A) & v2_cat_1(B) & l1_cat_1(B))) | (k8_isocat_2(A, B) = k16_cat_2(A, B)))),
% 18.72/18.91 inference(quant_intro,[status(thm)],[84])).
% 18.72/18.91 tff(86,axiom,(![A: $i, B: $i] : ((((v2_cat_1(A) & l1_cat_1(A)) & v2_cat_1(B)) & l1_cat_1(B)) => (k8_isocat_2(A, B) = k16_cat_2(A, B)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','redefinition_k8_isocat_2')).
% 18.72/18.91 tff(87,plain,
% 18.72/18.91 (![A: $i, B: $i] : ((~(v2_cat_1(A) & l1_cat_1(A) & v2_cat_1(B) & l1_cat_1(B))) | (k8_isocat_2(A, B) = k16_cat_2(A, B)))),
% 18.72/18.91 inference(modus_ponens,[status(thm)],[86, 85])).
% 18.72/18.91 tff(88,plain,
% 18.72/18.91 (![A: $i, B: $i] : ((~(v2_cat_1(A) & l1_cat_1(A) & v2_cat_1(B) & l1_cat_1(B))) | (k8_isocat_2(A, B) = k16_cat_2(A, B)))),
% 18.72/18.91 inference(modus_ponens,[status(thm)],[87, 83])).
% 18.72/18.91 tff(89,plain,(
% 18.72/18.91 ![A: $i, B: $i] : ((~(v2_cat_1(A) & l1_cat_1(A) & v2_cat_1(B) & l1_cat_1(B))) | (k8_isocat_2(A, B) = k16_cat_2(A, B)))),
% 18.72/18.91 inference(skolemize,[status(sab)],[88])).
% 18.72/18.91 tff(90,plain,
% 18.72/18.91 (![A: $i, B: $i] : ((k8_isocat_2(A, B) = k16_cat_2(A, B)) | (~l1_cat_1(B)) | (~v2_cat_1(A)) | (~l1_cat_1(A)) | (~v2_cat_1(B)))),
% 18.72/18.91 inference(modus_ponens,[status(thm)],[89, 82])).
% 18.72/18.91 tff(91,plain,
% 18.72/18.91 (![A: $i, B: $i] : ((k8_isocat_2(A, B) = k16_cat_2(A, B)) | (~l1_cat_1(B)) | (~v2_cat_1(A)) | (~l1_cat_1(A)) | (~v2_cat_1(B)))),
% 18.72/18.91 inference(modus_ponens,[status(thm)],[90, 80])).
% 18.72/18.91 tff(92,plain,
% 18.72/18.91 (((~![A: $i, B: $i] : ((k8_isocat_2(A, B) = k16_cat_2(A, B)) | (~l1_cat_1(B)) | (~v2_cat_1(A)) | (~l1_cat_1(A)) | (~v2_cat_1(B)))) | ((~l1_cat_1(C!2)) | (~v2_cat_1(B!1)) | (~l1_cat_1(B!1)) | (~v2_cat_1(C!2)) | (k8_isocat_2(B!1, C!2) = k16_cat_2(B!1, C!2)))) <=> ((~![A: $i, B: $i] : ((k8_isocat_2(A, B) = k16_cat_2(A, B)) | (~l1_cat_1(B)) | (~v2_cat_1(A)) | (~l1_cat_1(A)) | (~v2_cat_1(B)))) | (~l1_cat_1(C!2)) | (~v2_cat_1(B!1)) | (~l1_cat_1(B!1)) | (~v2_cat_1(C!2)) | (k8_isocat_2(B!1, C!2) = k16_cat_2(B!1, C!2)))),
% 18.72/18.91 inference(rewrite,[status(thm)],[])).
% 18.72/18.91 tff(93,plain,
% 18.72/18.91 (((k8_isocat_2(B!1, C!2) = k16_cat_2(B!1, C!2)) | (~l1_cat_1(C!2)) | (~v2_cat_1(B!1)) | (~l1_cat_1(B!1)) | (~v2_cat_1(C!2))) <=> ((~l1_cat_1(C!2)) | (~v2_cat_1(B!1)) | (~l1_cat_1(B!1)) | (~v2_cat_1(C!2)) | (k8_isocat_2(B!1, C!2) = k16_cat_2(B!1, C!2)))),
% 18.72/18.91 inference(rewrite,[status(thm)],[])).
% 18.72/18.91 tff(94,plain,
% 18.72/18.91 (((~![A: $i, B: $i] : ((k8_isocat_2(A, B) = k16_cat_2(A, B)) | (~l1_cat_1(B)) | (~v2_cat_1(A)) | (~l1_cat_1(A)) | (~v2_cat_1(B)))) | ((k8_isocat_2(B!1, C!2) = k16_cat_2(B!1, C!2)) | (~l1_cat_1(C!2)) | (~v2_cat_1(B!1)) | (~l1_cat_1(B!1)) | (~v2_cat_1(C!2)))) <=> ((~![A: $i, B: $i] : ((k8_isocat_2(A, B) = k16_cat_2(A, B)) | (~l1_cat_1(B)) | (~v2_cat_1(A)) | (~l1_cat_1(A)) | (~v2_cat_1(B)))) | ((~l1_cat_1(C!2)) | (~v2_cat_1(B!1)) | (~l1_cat_1(B!1)) | (~v2_cat_1(C!2)) | (k8_isocat_2(B!1, C!2) = k16_cat_2(B!1, C!2))))),
% 18.72/18.91 inference(monotonicity,[status(thm)],[93])).
% 18.72/18.91 tff(95,plain,
% 18.72/18.91 (((~![A: $i, B: $i] : ((k8_isocat_2(A, B) = k16_cat_2(A, B)) | (~l1_cat_1(B)) | (~v2_cat_1(A)) | (~l1_cat_1(A)) | (~v2_cat_1(B)))) | ((k8_isocat_2(B!1, C!2) = k16_cat_2(B!1, C!2)) | (~l1_cat_1(C!2)) | (~v2_cat_1(B!1)) | (~l1_cat_1(B!1)) | (~v2_cat_1(C!2)))) <=> ((~![A: $i, B: $i] : ((k8_isocat_2(A, B) = k16_cat_2(A, B)) | (~l1_cat_1(B)) | (~v2_cat_1(A)) | (~l1_cat_1(A)) | (~v2_cat_1(B)))) | (~l1_cat_1(C!2)) | (~v2_cat_1(B!1)) | (~l1_cat_1(B!1)) | (~v2_cat_1(C!2)) | (k8_isocat_2(B!1, C!2) = k16_cat_2(B!1, C!2)))),
% 18.72/18.91 inference(transitivity,[status(thm)],[94, 92])).
% 18.72/18.91 tff(96,plain,
% 18.72/18.91 ((~![A: $i, B: $i] : ((k8_isocat_2(A, B) = k16_cat_2(A, B)) | (~l1_cat_1(B)) | (~v2_cat_1(A)) | (~l1_cat_1(A)) | (~v2_cat_1(B)))) | ((k8_isocat_2(B!1, C!2) = k16_cat_2(B!1, C!2)) | (~l1_cat_1(C!2)) | (~v2_cat_1(B!1)) | (~l1_cat_1(B!1)) | (~v2_cat_1(C!2)))),
% 18.72/18.91 inference(quant_inst,[status(thm)],[])).
% 18.72/18.91 tff(97,plain,
% 18.72/18.91 ((~![A: $i, B: $i] : ((k8_isocat_2(A, B) = k16_cat_2(A, B)) | (~l1_cat_1(B)) | (~v2_cat_1(A)) | (~l1_cat_1(A)) | (~v2_cat_1(B)))) | (~l1_cat_1(C!2)) | (~v2_cat_1(B!1)) | (~l1_cat_1(B!1)) | (~v2_cat_1(C!2)) | (k8_isocat_2(B!1, C!2) = k16_cat_2(B!1, C!2))),
% 18.72/18.91 inference(modus_ponens,[status(thm)],[96, 95])).
% 18.72/18.91 tff(98,plain,
% 18.72/18.91 (k8_isocat_2(B!1, C!2) = k16_cat_2(B!1, C!2)),
% 18.72/18.91 inference(unit_resolution,[status(thm)],[97, 51, 50, 57, 56, 91])).
% 18.72/18.91 tff(99,plain,
% 18.72/18.91 (k16_cat_2(B!1, C!2) = k8_isocat_2(B!1, C!2)),
% 18.72/18.91 inference(symmetry,[status(thm)],[98])).
% 18.72/18.91 tff(100,plain,
% 18.72/18.91 (k6_isocat_1(A!0, k11_cat_2(B!1, C!2), B!1, E!4, F!5, H!7, k16_cat_2(B!1, C!2)) = k6_isocat_1(A!0, k11_cat_2(B!1, C!2), B!1, E!4, F!5, H!7, k8_isocat_2(B!1, C!2))),
% 18.72/18.91 inference(monotonicity,[status(thm)],[99])).
% 18.72/18.91 tff(101,plain,
% 18.72/18.91 (k6_isocat_1(A!0, k11_cat_2(B!1, C!2), B!1, E!4, F!5, H!7, k16_cat_2(B!1, C!2)) = k13_isocat_2(A!0, B!1, C!2, E!4, F!5, H!7)),
% 18.72/18.91 inference(transitivity,[status(thm)],[100, 78])).
% 18.72/18.91 tff(102,plain,
% 18.72/18.91 (m2_cat_1(D!3, A!0, k11_cat_2(B!1, C!2))),
% 18.72/18.91 inference(and_elim,[status(thm)],[43])).
% 18.72/18.91 tff(103,plain,
% 18.72/18.91 (((~![D: $i] : ((~m2_cat_1(D, A!0, k11_cat_2(B!1, C!2))) | ![E: $i] : ((~m2_cat_1(E, A!0, k11_cat_2(B!1, C!2))) | ![F: $i] : ((~m2_nattra_1(F, A!0, k11_cat_2(B!1, C!2), D, E)) | (k13_isocat_2(A!0, B!1, C!2, D, E, F) = k6_isocat_1(A!0, k11_cat_2(B!1, C!2), B!1, D, E, F, k8_isocat_2(B!1, C!2))))))) | ((~m2_cat_1(D!3, A!0, k11_cat_2(B!1, C!2))) | ![E: $i] : ((~m2_cat_1(E, A!0, k11_cat_2(B!1, C!2))) | ![F: $i] : ((~m2_nattra_1(F, A!0, k11_cat_2(B!1, C!2), D!3, E)) | (k13_isocat_2(A!0, B!1, C!2, D!3, E, F) = k6_isocat_1(A!0, k11_cat_2(B!1, C!2), B!1, D!3, E, F, k8_isocat_2(B!1, C!2))))))) <=> ((~![D: $i] : ((~m2_cat_1(D, A!0, k11_cat_2(B!1, C!2))) | ![E: $i] : ((~m2_cat_1(E, A!0, k11_cat_2(B!1, C!2))) | ![F: $i] : ((~m2_nattra_1(F, A!0, k11_cat_2(B!1, C!2), D, E)) | (k13_isocat_2(A!0, B!1, C!2, D, E, F) = k6_isocat_1(A!0, k11_cat_2(B!1, C!2), B!1, D, E, F, k8_isocat_2(B!1, C!2))))))) | (~m2_cat_1(D!3, A!0, k11_cat_2(B!1, C!2))) | ![E: $i] : ((~m2_cat_1(E, A!0, k11_cat_2(B!1, C!2))) | ![F: $i] : ((~m2_nattra_1(F, A!0, k11_cat_2(B!1, C!2), D!3, E)) | (k13_isocat_2(A!0, B!1, C!2, D!3, E, F) = k6_isocat_1(A!0, k11_cat_2(B!1, C!2), B!1, D!3, E, F, k8_isocat_2(B!1, C!2))))))),
% 18.72/18.91 inference(rewrite,[status(thm)],[])).
% 18.72/18.91 tff(104,plain,
% 18.72/18.91 ((~![D: $i] : ((~m2_cat_1(D, A!0, k11_cat_2(B!1, C!2))) | ![E: $i] : ((~m2_cat_1(E, A!0, k11_cat_2(B!1, C!2))) | ![F: $i] : ((~m2_nattra_1(F, A!0, k11_cat_2(B!1, C!2), D, E)) | (k13_isocat_2(A!0, B!1, C!2, D, E, F) = k6_isocat_1(A!0, k11_cat_2(B!1, C!2), B!1, D, E, F, k8_isocat_2(B!1, C!2))))))) | ((~m2_cat_1(D!3, A!0, k11_cat_2(B!1, C!2))) | ![E: $i] : ((~m2_cat_1(E, A!0, k11_cat_2(B!1, C!2))) | ![F: $i] : ((~m2_nattra_1(F, A!0, k11_cat_2(B!1, C!2), D!3, E)) | (k13_isocat_2(A!0, B!1, C!2, D!3, E, F) = k6_isocat_1(A!0, k11_cat_2(B!1, C!2), B!1, D!3, E, F, k8_isocat_2(B!1, C!2))))))),
% 18.72/18.91 inference(quant_inst,[status(thm)],[])).
% 18.72/18.91 tff(105,plain,
% 18.72/18.91 ((~![D: $i] : ((~m2_cat_1(D, A!0, k11_cat_2(B!1, C!2))) | ![E: $i] : ((~m2_cat_1(E, A!0, k11_cat_2(B!1, C!2))) | ![F: $i] : ((~m2_nattra_1(F, A!0, k11_cat_2(B!1, C!2), D, E)) | (k13_isocat_2(A!0, B!1, C!2, D, E, F) = k6_isocat_1(A!0, k11_cat_2(B!1, C!2), B!1, D, E, F, k8_isocat_2(B!1, C!2))))))) | (~m2_cat_1(D!3, A!0, k11_cat_2(B!1, C!2))) | ![E: $i] : ((~m2_cat_1(E, A!0, k11_cat_2(B!1, C!2))) | ![F: $i] : ((~m2_nattra_1(F, A!0, k11_cat_2(B!1, C!2), D!3, E)) | (k13_isocat_2(A!0, B!1, C!2, D!3, E, F) = k6_isocat_1(A!0, k11_cat_2(B!1, C!2), B!1, D!3, E, F, k8_isocat_2(B!1, C!2)))))),
% 18.72/18.91 inference(modus_ponens,[status(thm)],[104, 103])).
% 18.72/18.91 tff(106,plain,
% 18.72/18.91 (![E: $i] : ((~m2_cat_1(E, A!0, k11_cat_2(B!1, C!2))) | ![F: $i] : ((~m2_nattra_1(F, A!0, k11_cat_2(B!1, C!2), D!3, E)) | (k13_isocat_2(A!0, B!1, C!2, D!3, E, F) = k6_isocat_1(A!0, k11_cat_2(B!1, C!2), B!1, D!3, E, F, k8_isocat_2(B!1, C!2)))))),
% 18.72/18.91 inference(unit_resolution,[status(thm)],[105, 102, 61])).
% 18.72/18.91 tff(107,plain,
% 18.72/18.91 (((~![E: $i] : ((~m2_cat_1(E, A!0, k11_cat_2(B!1, C!2))) | ![F: $i] : ((~m2_nattra_1(F, A!0, k11_cat_2(B!1, C!2), D!3, E)) | (k13_isocat_2(A!0, B!1, C!2, D!3, E, F) = k6_isocat_1(A!0, k11_cat_2(B!1, C!2), B!1, D!3, E, F, k8_isocat_2(B!1, C!2)))))) | ((~m2_cat_1(E!4, A!0, k11_cat_2(B!1, C!2))) | ![F: $i] : ((~m2_nattra_1(F, A!0, k11_cat_2(B!1, C!2), D!3, E!4)) | (k13_isocat_2(A!0, B!1, C!2, D!3, E!4, F) = k6_isocat_1(A!0, k11_cat_2(B!1, C!2), B!1, D!3, E!4, F, k8_isocat_2(B!1, C!2)))))) <=> ((~![E: $i] : ((~m2_cat_1(E, A!0, k11_cat_2(B!1, C!2))) | ![F: $i] : ((~m2_nattra_1(F, A!0, k11_cat_2(B!1, C!2), D!3, E)) | (k13_isocat_2(A!0, B!1, C!2, D!3, E, F) = k6_isocat_1(A!0, k11_cat_2(B!1, C!2), B!1, D!3, E, F, k8_isocat_2(B!1, C!2)))))) | (~m2_cat_1(E!4, A!0, k11_cat_2(B!1, C!2))) | ![F: $i] : ((~m2_nattra_1(F, A!0, k11_cat_2(B!1, C!2), D!3, E!4)) | (k13_isocat_2(A!0, B!1, C!2, D!3, E!4, F) = k6_isocat_1(A!0, k11_cat_2(B!1, C!2), B!1, D!3, E!4, F, k8_isocat_2(B!1, C!2)))))),
% 18.72/18.91 inference(rewrite,[status(thm)],[])).
% 18.72/18.91 tff(108,plain,
% 18.72/18.91 ((~![E: $i] : ((~m2_cat_1(E, A!0, k11_cat_2(B!1, C!2))) | ![F: $i] : ((~m2_nattra_1(F, A!0, k11_cat_2(B!1, C!2), D!3, E)) | (k13_isocat_2(A!0, B!1, C!2, D!3, E, F) = k6_isocat_1(A!0, k11_cat_2(B!1, C!2), B!1, D!3, E, F, k8_isocat_2(B!1, C!2)))))) | ((~m2_cat_1(E!4, A!0, k11_cat_2(B!1, C!2))) | ![F: $i] : ((~m2_nattra_1(F, A!0, k11_cat_2(B!1, C!2), D!3, E!4)) | (k13_isocat_2(A!0, B!1, C!2, D!3, E!4, F) = k6_isocat_1(A!0, k11_cat_2(B!1, C!2), B!1, D!3, E!4, F, k8_isocat_2(B!1, C!2)))))),
% 18.72/18.91 inference(quant_inst,[status(thm)],[])).
% 18.72/18.91 tff(109,plain,
% 18.72/18.91 ((~![E: $i] : ((~m2_cat_1(E, A!0, k11_cat_2(B!1, C!2))) | ![F: $i] : ((~m2_nattra_1(F, A!0, k11_cat_2(B!1, C!2), D!3, E)) | (k13_isocat_2(A!0, B!1, C!2, D!3, E, F) = k6_isocat_1(A!0, k11_cat_2(B!1, C!2), B!1, D!3, E, F, k8_isocat_2(B!1, C!2)))))) | (~m2_cat_1(E!4, A!0, k11_cat_2(B!1, C!2))) | ![F: $i] : ((~m2_nattra_1(F, A!0, k11_cat_2(B!1, C!2), D!3, E!4)) | (k13_isocat_2(A!0, B!1, C!2, D!3, E!4, F) = k6_isocat_1(A!0, k11_cat_2(B!1, C!2), B!1, D!3, E!4, F, k8_isocat_2(B!1, C!2))))),
% 18.72/18.91 inference(modus_ponens,[status(thm)],[108, 107])).
% 18.72/18.91 tff(110,plain,
% 18.72/18.91 (![F: $i] : ((~m2_nattra_1(F, A!0, k11_cat_2(B!1, C!2), D!3, E!4)) | (k13_isocat_2(A!0, B!1, C!2, D!3, E!4, F) = k6_isocat_1(A!0, k11_cat_2(B!1, C!2), B!1, D!3, E!4, F, k8_isocat_2(B!1, C!2))))),
% 18.72/18.91 inference(unit_resolution,[status(thm)],[109, 62, 106])).
% 18.72/18.91 tff(111,plain,
% 18.72/18.91 (m2_nattra_1(G!6, A!0, k11_cat_2(B!1, C!2), D!3, E!4)),
% 18.72/18.91 inference(and_elim,[status(thm)],[43])).
% 18.72/18.91 tff(112,plain,
% 18.72/18.91 (((~![F: $i] : ((~m2_nattra_1(F, A!0, k11_cat_2(B!1, C!2), D!3, E!4)) | (k13_isocat_2(A!0, B!1, C!2, D!3, E!4, F) = k6_isocat_1(A!0, k11_cat_2(B!1, C!2), B!1, D!3, E!4, F, k8_isocat_2(B!1, C!2))))) | ((~m2_nattra_1(G!6, A!0, k11_cat_2(B!1, C!2), D!3, E!4)) | (k13_isocat_2(A!0, B!1, C!2, D!3, E!4, G!6) = k6_isocat_1(A!0, k11_cat_2(B!1, C!2), B!1, D!3, E!4, G!6, k8_isocat_2(B!1, C!2))))) <=> ((~![F: $i] : ((~m2_nattra_1(F, A!0, k11_cat_2(B!1, C!2), D!3, E!4)) | (k13_isocat_2(A!0, B!1, C!2, D!3, E!4, F) = k6_isocat_1(A!0, k11_cat_2(B!1, C!2), B!1, D!3, E!4, F, k8_isocat_2(B!1, C!2))))) | (~m2_nattra_1(G!6, A!0, k11_cat_2(B!1, C!2), D!3, E!4)) | (k13_isocat_2(A!0, B!1, C!2, D!3, E!4, G!6) = k6_isocat_1(A!0, k11_cat_2(B!1, C!2), B!1, D!3, E!4, G!6, k8_isocat_2(B!1, C!2))))),
% 18.72/18.91 inference(rewrite,[status(thm)],[])).
% 18.72/18.91 tff(113,plain,
% 18.72/18.91 ((~![F: $i] : ((~m2_nattra_1(F, A!0, k11_cat_2(B!1, C!2), D!3, E!4)) | (k13_isocat_2(A!0, B!1, C!2, D!3, E!4, F) = k6_isocat_1(A!0, k11_cat_2(B!1, C!2), B!1, D!3, E!4, F, k8_isocat_2(B!1, C!2))))) | ((~m2_nattra_1(G!6, A!0, k11_cat_2(B!1, C!2), D!3, E!4)) | (k13_isocat_2(A!0, B!1, C!2, D!3, E!4, G!6) = k6_isocat_1(A!0, k11_cat_2(B!1, C!2), B!1, D!3, E!4, G!6, k8_isocat_2(B!1, C!2))))),
% 18.72/18.91 inference(quant_inst,[status(thm)],[])).
% 18.72/18.91 tff(114,plain,
% 18.72/18.91 ((~![F: $i] : ((~m2_nattra_1(F, A!0, k11_cat_2(B!1, C!2), D!3, E!4)) | (k13_isocat_2(A!0, B!1, C!2, D!3, E!4, F) = k6_isocat_1(A!0, k11_cat_2(B!1, C!2), B!1, D!3, E!4, F, k8_isocat_2(B!1, C!2))))) | (~m2_nattra_1(G!6, A!0, k11_cat_2(B!1, C!2), D!3, E!4)) | (k13_isocat_2(A!0, B!1, C!2, D!3, E!4, G!6) = k6_isocat_1(A!0, k11_cat_2(B!1, C!2), B!1, D!3, E!4, G!6, k8_isocat_2(B!1, C!2)))),
% 18.72/18.91 inference(modus_ponens,[status(thm)],[113, 112])).
% 18.72/18.91 tff(115,plain,
% 18.72/18.91 (k13_isocat_2(A!0, B!1, C!2, D!3, E!4, G!6) = k6_isocat_1(A!0, k11_cat_2(B!1, C!2), B!1, D!3, E!4, G!6, k8_isocat_2(B!1, C!2))),
% 18.72/18.91 inference(unit_resolution,[status(thm)],[114, 111, 110])).
% 18.72/18.91 tff(116,plain,
% 18.72/18.91 (k6_isocat_1(A!0, k11_cat_2(B!1, C!2), B!1, D!3, E!4, G!6, k8_isocat_2(B!1, C!2)) = k13_isocat_2(A!0, B!1, C!2, D!3, E!4, G!6)),
% 18.72/18.91 inference(symmetry,[status(thm)],[115])).
% 18.72/18.91 tff(117,plain,
% 18.72/18.91 (k6_isocat_1(A!0, k11_cat_2(B!1, C!2), B!1, D!3, E!4, G!6, k16_cat_2(B!1, C!2)) = k6_isocat_1(A!0, k11_cat_2(B!1, C!2), B!1, D!3, E!4, G!6, k8_isocat_2(B!1, C!2))),
% 18.72/18.91 inference(monotonicity,[status(thm)],[99])).
% 18.72/18.91 tff(118,plain,
% 18.72/18.91 (k6_isocat_1(A!0, k11_cat_2(B!1, C!2), B!1, D!3, E!4, G!6, k16_cat_2(B!1, C!2)) = k13_isocat_2(A!0, B!1, C!2, D!3, E!4, G!6)),
% 18.72/18.91 inference(transitivity,[status(thm)],[117, 116])).
% 18.72/18.91 tff(119,plain,
% 18.72/18.91 (^[A: $i] : rewrite(((~l1_cat_1(A)) | (~v2_cat_1(A)) | ![B: $i] : ((~l1_cat_1(B)) | (~v2_cat_1(B)) | ![C: $i] : ((~l1_cat_1(C)) | ![D: $i] : ((~m2_cat_1(D, A, k11_cat_2(B, C))) | (k11_isocat_2(A, B, C, D) = k2_isocat_1(A, k11_cat_2(B, C), B, D, k8_isocat_2(B, C)))) | (~v2_cat_1(C))))) <=> ((~l1_cat_1(A)) | (~v2_cat_1(A)) | ![B: $i] : ((~l1_cat_1(B)) | (~v2_cat_1(B)) | ![C: $i] : ((~l1_cat_1(C)) | (~v2_cat_1(C)) | ![D: $i] : ((~m2_cat_1(D, A, k11_cat_2(B, C))) | (k11_isocat_2(A, B, C, D) = k2_isocat_1(A, k11_cat_2(B, C), B, D, k8_isocat_2(B, C))))))))),
% 18.72/18.91 inference(bind,[status(th)],[])).
% 18.72/18.91 tff(120,plain,
% 18.72/18.91 (![A: $i] : ((~l1_cat_1(A)) | (~v2_cat_1(A)) | ![B: $i] : ((~l1_cat_1(B)) | (~v2_cat_1(B)) | ![C: $i] : ((~l1_cat_1(C)) | ![D: $i] : ((~m2_cat_1(D, A, k11_cat_2(B, C))) | (k11_isocat_2(A, B, C, D) = k2_isocat_1(A, k11_cat_2(B, C), B, D, k8_isocat_2(B, C)))) | (~v2_cat_1(C))))) <=> ![A: $i] : ((~l1_cat_1(A)) | (~v2_cat_1(A)) | ![B: $i] : ((~l1_cat_1(B)) | (~v2_cat_1(B)) | ![C: $i] : ((~l1_cat_1(C)) | (~v2_cat_1(C)) | ![D: $i] : ((~m2_cat_1(D, A, k11_cat_2(B, C))) | (k11_isocat_2(A, B, C, D) = k2_isocat_1(A, k11_cat_2(B, C), B, D, k8_isocat_2(B, C)))))))),
% 18.72/18.91 inference(quant_intro,[status(thm)],[119])).
% 18.72/18.91 tff(121,plain,
% 18.72/18.91 (^[A: $i] : refl(((~l1_cat_1(A)) | (~v2_cat_1(A)) | ![B: $i] : ((~l1_cat_1(B)) | (~v2_cat_1(B)) | ![C: $i] : ((~l1_cat_1(C)) | ![D: $i] : ((~m2_cat_1(D, A, k11_cat_2(B, C))) | (k11_isocat_2(A, B, C, D) = k2_isocat_1(A, k11_cat_2(B, C), B, D, k8_isocat_2(B, C)))) | (~v2_cat_1(C))))) <=> ((~l1_cat_1(A)) | (~v2_cat_1(A)) | ![B: $i] : ((~l1_cat_1(B)) | (~v2_cat_1(B)) | ![C: $i] : ((~l1_cat_1(C)) | ![D: $i] : ((~m2_cat_1(D, A, k11_cat_2(B, C))) | (k11_isocat_2(A, B, C, D) = k2_isocat_1(A, k11_cat_2(B, C), B, D, k8_isocat_2(B, C)))) | (~v2_cat_1(C))))))),
% 18.72/18.91 inference(bind,[status(th)],[])).
% 18.72/18.91 tff(122,plain,
% 18.72/18.91 (![A: $i] : ((~l1_cat_1(A)) | (~v2_cat_1(A)) | ![B: $i] : ((~l1_cat_1(B)) | (~v2_cat_1(B)) | ![C: $i] : ((~l1_cat_1(C)) | ![D: $i] : ((~m2_cat_1(D, A, k11_cat_2(B, C))) | (k11_isocat_2(A, B, C, D) = k2_isocat_1(A, k11_cat_2(B, C), B, D, k8_isocat_2(B, C)))) | (~v2_cat_1(C))))) <=> ![A: $i] : ((~l1_cat_1(A)) | (~v2_cat_1(A)) | ![B: $i] : ((~l1_cat_1(B)) | (~v2_cat_1(B)) | ![C: $i] : ((~l1_cat_1(C)) | ![D: $i] : ((~m2_cat_1(D, A, k11_cat_2(B, C))) | (k11_isocat_2(A, B, C, D) = k2_isocat_1(A, k11_cat_2(B, C), B, D, k8_isocat_2(B, C)))) | (~v2_cat_1(C)))))),
% 18.72/18.91 inference(quant_intro,[status(thm)],[121])).
% 18.72/18.91 tff(123,plain,
% 18.72/18.91 (^[A: $i] : rewrite(((~l1_cat_1(A)) | (~v2_cat_1(A)) | ![B: $i] : ((~l1_cat_1(B)) | (~v2_cat_1(B)) | ![C: $i] : ((~l1_cat_1(C)) | ![D: $i] : ((~m2_cat_1(D, A, k11_cat_2(B, C))) | (k11_isocat_2(A, B, C, D) = k2_isocat_1(A, k11_cat_2(B, C), B, D, k8_isocat_2(B, C)))) | (~v2_cat_1(C))))) <=> ((~l1_cat_1(A)) | (~v2_cat_1(A)) | ![B: $i] : ((~l1_cat_1(B)) | (~v2_cat_1(B)) | ![C: $i] : ((~l1_cat_1(C)) | ![D: $i] : ((~m2_cat_1(D, A, k11_cat_2(B, C))) | (k11_isocat_2(A, B, C, D) = k2_isocat_1(A, k11_cat_2(B, C), B, D, k8_isocat_2(B, C)))) | (~v2_cat_1(C))))))),
% 18.72/18.91 inference(bind,[status(th)],[])).
% 18.72/18.91 tff(124,plain,
% 18.72/18.91 (![A: $i] : ((~l1_cat_1(A)) | (~v2_cat_1(A)) | ![B: $i] : ((~l1_cat_1(B)) | (~v2_cat_1(B)) | ![C: $i] : ((~l1_cat_1(C)) | ![D: $i] : ((~m2_cat_1(D, A, k11_cat_2(B, C))) | (k11_isocat_2(A, B, C, D) = k2_isocat_1(A, k11_cat_2(B, C), B, D, k8_isocat_2(B, C)))) | (~v2_cat_1(C))))) <=> ![A: $i] : ((~l1_cat_1(A)) | (~v2_cat_1(A)) | ![B: $i] : ((~l1_cat_1(B)) | (~v2_cat_1(B)) | ![C: $i] : ((~l1_cat_1(C)) | ![D: $i] : ((~m2_cat_1(D, A, k11_cat_2(B, C))) | (k11_isocat_2(A, B, C, D) = k2_isocat_1(A, k11_cat_2(B, C), B, D, k8_isocat_2(B, C)))) | (~v2_cat_1(C)))))),
% 18.72/18.91 inference(quant_intro,[status(thm)],[123])).
% 18.72/18.91 tff(125,plain,
% 18.72/18.91 (![A: $i] : ((~l1_cat_1(A)) | (~v2_cat_1(A)) | ![B: $i] : ((~l1_cat_1(B)) | (~v2_cat_1(B)) | ![C: $i] : ((~l1_cat_1(C)) | ![D: $i] : ((~m2_cat_1(D, A, k11_cat_2(B, C))) | (k11_isocat_2(A, B, C, D) = k2_isocat_1(A, k11_cat_2(B, C), B, D, k8_isocat_2(B, C)))) | (~v2_cat_1(C))))) <=> ![A: $i] : ((~l1_cat_1(A)) | (~v2_cat_1(A)) | ![B: $i] : ((~l1_cat_1(B)) | (~v2_cat_1(B)) | ![C: $i] : ((~l1_cat_1(C)) | ![D: $i] : ((~m2_cat_1(D, A, k11_cat_2(B, C))) | (k11_isocat_2(A, B, C, D) = k2_isocat_1(A, k11_cat_2(B, C), B, D, k8_isocat_2(B, C)))) | (~v2_cat_1(C)))))),
% 18.72/18.91 inference(transitivity,[status(thm)],[124, 122])).
% 18.72/18.91 tff(126,plain,
% 18.72/18.91 (^[A: $i] : trans(monotonicity(trans(monotonicity(rewrite((v2_cat_1(A) & l1_cat_1(A)) <=> (~((~l1_cat_1(A)) | (~v2_cat_1(A))))), ((~(v2_cat_1(A) & l1_cat_1(A))) <=> (~(~((~l1_cat_1(A)) | (~v2_cat_1(A))))))), rewrite((~(~((~l1_cat_1(A)) | (~v2_cat_1(A))))) <=> ((~l1_cat_1(A)) | (~v2_cat_1(A)))), ((~(v2_cat_1(A) & l1_cat_1(A))) <=> ((~l1_cat_1(A)) | (~v2_cat_1(A))))), quant_intro(proof_bind(^[B: $i] : trans(monotonicity(trans(monotonicity(rewrite((v2_cat_1(B) & l1_cat_1(B)) <=> (~((~l1_cat_1(B)) | (~v2_cat_1(B))))), ((~(v2_cat_1(B) & l1_cat_1(B))) <=> (~(~((~l1_cat_1(B)) | (~v2_cat_1(B))))))), rewrite((~(~((~l1_cat_1(B)) | (~v2_cat_1(B))))) <=> ((~l1_cat_1(B)) | (~v2_cat_1(B)))), ((~(v2_cat_1(B) & l1_cat_1(B))) <=> ((~l1_cat_1(B)) | (~v2_cat_1(B))))), quant_intro(proof_bind(^[C: $i] : trans(monotonicity(trans(monotonicity(rewrite((v2_cat_1(C) & l1_cat_1(C)) <=> (~((~l1_cat_1(C)) | (~v2_cat_1(C))))), ((~(v2_cat_1(C) & l1_cat_1(C))) <=> (~(~((~l1_cat_1(C)) | (~v2_cat_1(C))))))), rewrite((~(~((~l1_cat_1(C)) | (~v2_cat_1(C))))) <=> ((~l1_cat_1(C)) | (~v2_cat_1(C)))), ((~(v2_cat_1(C) & l1_cat_1(C))) <=> ((~l1_cat_1(C)) | (~v2_cat_1(C))))), (((~(v2_cat_1(C) & l1_cat_1(C))) | ![D: $i] : ((~m2_cat_1(D, A, k11_cat_2(B, C))) | (k11_isocat_2(A, B, C, D) = k2_isocat_1(A, k11_cat_2(B, C), B, D, k8_isocat_2(B, C))))) <=> (((~l1_cat_1(C)) | (~v2_cat_1(C))) | ![D: $i] : ((~m2_cat_1(D, A, k11_cat_2(B, C))) | (k11_isocat_2(A, B, C, D) = k2_isocat_1(A, k11_cat_2(B, C), B, D, k8_isocat_2(B, C))))))), rewrite((((~l1_cat_1(C)) | (~v2_cat_1(C))) | ![D: $i] : ((~m2_cat_1(D, A, k11_cat_2(B, C))) | (k11_isocat_2(A, B, C, D) = k2_isocat_1(A, k11_cat_2(B, C), B, D, k8_isocat_2(B, C))))) <=> ((~l1_cat_1(C)) | ![D: $i] : ((~m2_cat_1(D, A, k11_cat_2(B, C))) | (k11_isocat_2(A, B, C, D) = k2_isocat_1(A, k11_cat_2(B, C), B, D, k8_isocat_2(B, C)))) | (~v2_cat_1(C)))), (((~(v2_cat_1(C) & l1_cat_1(C))) | ![D: $i] : ((~m2_cat_1(D, A, k11_cat_2(B, C))) | (k11_isocat_2(A, B, C, D) = k2_isocat_1(A, k11_cat_2(B, C), B, D, k8_isocat_2(B, C))))) <=> ((~l1_cat_1(C)) | ![D: $i] : ((~m2_cat_1(D, A, k11_cat_2(B, C))) | (k11_isocat_2(A, B, C, D) = k2_isocat_1(A, k11_cat_2(B, C), B, D, k8_isocat_2(B, C)))) | (~v2_cat_1(C)))))), (![C: $i] : ((~(v2_cat_1(C) & l1_cat_1(C))) | ![D: $i] : ((~m2_cat_1(D, A, k11_cat_2(B, C))) | (k11_isocat_2(A, B, C, D) = k2_isocat_1(A, k11_cat_2(B, C), B, D, k8_isocat_2(B, C))))) <=> ![C: $i] : ((~l1_cat_1(C)) | ![D: $i] : ((~m2_cat_1(D, A, k11_cat_2(B, C))) | (k11_isocat_2(A, B, C, D) = k2_isocat_1(A, k11_cat_2(B, C), B, D, k8_isocat_2(B, C)))) | (~v2_cat_1(C))))), (((~(v2_cat_1(B) & l1_cat_1(B))) | ![C: $i] : ((~(v2_cat_1(C) & l1_cat_1(C))) | ![D: $i] : ((~m2_cat_1(D, A, k11_cat_2(B, C))) | (k11_isocat_2(A, B, C, D) = k2_isocat_1(A, k11_cat_2(B, C), B, D, k8_isocat_2(B, C)))))) <=> (((~l1_cat_1(B)) | (~v2_cat_1(B))) | ![C: $i] : ((~l1_cat_1(C)) | ![D: $i] : ((~m2_cat_1(D, A, k11_cat_2(B, C))) | (k11_isocat_2(A, B, C, D) = k2_isocat_1(A, k11_cat_2(B, C), B, D, k8_isocat_2(B, C)))) | (~v2_cat_1(C)))))), rewrite((((~l1_cat_1(B)) | (~v2_cat_1(B))) | ![C: $i] : ((~l1_cat_1(C)) | ![D: $i] : ((~m2_cat_1(D, A, k11_cat_2(B, C))) | (k11_isocat_2(A, B, C, D) = k2_isocat_1(A, k11_cat_2(B, C), B, D, k8_isocat_2(B, C)))) | (~v2_cat_1(C)))) <=> ((~l1_cat_1(B)) | (~v2_cat_1(B)) | ![C: $i] : ((~l1_cat_1(C)) | ![D: $i] : ((~m2_cat_1(D, A, k11_cat_2(B, C))) | (k11_isocat_2(A, B, C, D) = k2_isocat_1(A, k11_cat_2(B, C), B, D, k8_isocat_2(B, C)))) | (~v2_cat_1(C))))), (((~(v2_cat_1(B) & l1_cat_1(B))) | ![C: $i] : ((~(v2_cat_1(C) & l1_cat_1(C))) | ![D: $i] : ((~m2_cat_1(D, A, k11_cat_2(B, C))) | (k11_isocat_2(A, B, C, D) = k2_isocat_1(A, k11_cat_2(B, C), B, D, k8_isocat_2(B, C)))))) <=> ((~l1_cat_1(B)) | (~v2_cat_1(B)) | ![C: $i] : ((~l1_cat_1(C)) | ![D: $i] : ((~m2_cat_1(D, A, k11_cat_2(B, C))) | (k11_isocat_2(A, B, C, D) = k2_isocat_1(A, k11_cat_2(B, C), B, D, k8_isocat_2(B, C)))) | (~v2_cat_1(C))))))), (![B: $i] : ((~(v2_cat_1(B) & l1_cat_1(B))) | ![C: $i] : ((~(v2_cat_1(C) & l1_cat_1(C))) | ![D: $i] : ((~m2_cat_1(D, A, k11_cat_2(B, C))) | (k11_isocat_2(A, B, C, D) = k2_isocat_1(A, k11_cat_2(B, C), B, D, k8_isocat_2(B, C)))))) <=> ![B: $i] : ((~l1_cat_1(B)) | (~v2_cat_1(B)) | ![C: $i] : ((~l1_cat_1(C)) | ![D: $i] : ((~m2_cat_1(D, A, k11_cat_2(B, C))) | (k11_isocat_2(A, B, C, D) = k2_isocat_1(A, k11_cat_2(B, C), B, D, k8_isocat_2(B, C)))) | (~v2_cat_1(C)))))), (((~(v2_cat_1(A) & l1_cat_1(A))) | ![B: $i] : ((~(v2_cat_1(B) & l1_cat_1(B))) | ![C: $i] : ((~(v2_cat_1(C) & l1_cat_1(C))) | ![D: $i] : ((~m2_cat_1(D, A, k11_cat_2(B, C))) | (k11_isocat_2(A, B, C, D) = k2_isocat_1(A, k11_cat_2(B, C), B, D, k8_isocat_2(B, C))))))) <=> (((~l1_cat_1(A)) | (~v2_cat_1(A))) | ![B: $i] : ((~l1_cat_1(B)) | (~v2_cat_1(B)) | ![C: $i] : ((~l1_cat_1(C)) | ![D: $i] : ((~m2_cat_1(D, A, k11_cat_2(B, C))) | (k11_isocat_2(A, B, C, D) = k2_isocat_1(A, k11_cat_2(B, C), B, D, k8_isocat_2(B, C)))) | (~v2_cat_1(C))))))), rewrite((((~l1_cat_1(A)) | (~v2_cat_1(A))) | ![B: $i] : ((~l1_cat_1(B)) | (~v2_cat_1(B)) | ![C: $i] : ((~l1_cat_1(C)) | ![D: $i] : ((~m2_cat_1(D, A, k11_cat_2(B, C))) | (k11_isocat_2(A, B, C, D) = k2_isocat_1(A, k11_cat_2(B, C), B, D, k8_isocat_2(B, C)))) | (~v2_cat_1(C))))) <=> ((~l1_cat_1(A)) | (~v2_cat_1(A)) | ![B: $i] : ((~l1_cat_1(B)) | (~v2_cat_1(B)) | ![C: $i] : ((~l1_cat_1(C)) | ![D: $i] : ((~m2_cat_1(D, A, k11_cat_2(B, C))) | (k11_isocat_2(A, B, C, D) = k2_isocat_1(A, k11_cat_2(B, C), B, D, k8_isocat_2(B, C)))) | (~v2_cat_1(C)))))), (((~(v2_cat_1(A) & l1_cat_1(A))) | ![B: $i] : ((~(v2_cat_1(B) & l1_cat_1(B))) | ![C: $i] : ((~(v2_cat_1(C) & l1_cat_1(C))) | ![D: $i] : ((~m2_cat_1(D, A, k11_cat_2(B, C))) | (k11_isocat_2(A, B, C, D) = k2_isocat_1(A, k11_cat_2(B, C), B, D, k8_isocat_2(B, C))))))) <=> ((~l1_cat_1(A)) | (~v2_cat_1(A)) | ![B: $i] : ((~l1_cat_1(B)) | (~v2_cat_1(B)) | ![C: $i] : ((~l1_cat_1(C)) | ![D: $i] : ((~m2_cat_1(D, A, k11_cat_2(B, C))) | (k11_isocat_2(A, B, C, D) = k2_isocat_1(A, k11_cat_2(B, C), B, D, k8_isocat_2(B, C)))) | (~v2_cat_1(C)))))))),
% 18.72/18.91 inference(bind,[status(th)],[])).
% 18.72/18.91 tff(127,plain,
% 18.72/18.91 (![A: $i] : ((~(v2_cat_1(A) & l1_cat_1(A))) | ![B: $i] : ((~(v2_cat_1(B) & l1_cat_1(B))) | ![C: $i] : ((~(v2_cat_1(C) & l1_cat_1(C))) | ![D: $i] : ((~m2_cat_1(D, A, k11_cat_2(B, C))) | (k11_isocat_2(A, B, C, D) = k2_isocat_1(A, k11_cat_2(B, C), B, D, k8_isocat_2(B, C))))))) <=> ![A: $i] : ((~l1_cat_1(A)) | (~v2_cat_1(A)) | ![B: $i] : ((~l1_cat_1(B)) | (~v2_cat_1(B)) | ![C: $i] : ((~l1_cat_1(C)) | ![D: $i] : ((~m2_cat_1(D, A, k11_cat_2(B, C))) | (k11_isocat_2(A, B, C, D) = k2_isocat_1(A, k11_cat_2(B, C), B, D, k8_isocat_2(B, C)))) | (~v2_cat_1(C)))))),
% 18.72/18.91 inference(quant_intro,[status(thm)],[126])).
% 18.72/18.91 tff(128,plain,
% 18.72/18.91 (![A: $i] : ((~(v2_cat_1(A) & l1_cat_1(A))) | ![B: $i] : ((~(v2_cat_1(B) & l1_cat_1(B))) | ![C: $i] : ((~(v2_cat_1(C) & l1_cat_1(C))) | ![D: $i] : ((~m2_cat_1(D, A, k11_cat_2(B, C))) | (k11_isocat_2(A, B, C, D) = k2_isocat_1(A, k11_cat_2(B, C), B, D, k8_isocat_2(B, C))))))) <=> ![A: $i] : ((~(v2_cat_1(A) & l1_cat_1(A))) | ![B: $i] : ((~(v2_cat_1(B) & l1_cat_1(B))) | ![C: $i] : ((~(v2_cat_1(C) & l1_cat_1(C))) | ![D: $i] : ((~m2_cat_1(D, A, k11_cat_2(B, C))) | (k11_isocat_2(A, B, C, D) = k2_isocat_1(A, k11_cat_2(B, C), B, D, k8_isocat_2(B, C)))))))),
% 18.72/18.91 inference(rewrite,[status(thm)],[])).
% 18.72/18.91 tff(129,plain,
% 18.72/18.91 (^[A: $i] : trans(monotonicity(quant_intro(proof_bind(^[B: $i] : trans(monotonicity(quant_intro(proof_bind(^[C: $i] : trans(monotonicity(quant_intro(proof_bind(^[D: $i] : rewrite((m2_cat_1(D, A, k11_cat_2(B, C)) => (k11_isocat_2(A, B, C, D) = k2_isocat_1(A, k11_cat_2(B, C), B, D, k8_isocat_2(B, C)))) <=> ((~m2_cat_1(D, A, k11_cat_2(B, C))) | (k11_isocat_2(A, B, C, D) = k2_isocat_1(A, k11_cat_2(B, C), B, D, k8_isocat_2(B, C)))))), (![D: $i] : (m2_cat_1(D, A, k11_cat_2(B, C)) => (k11_isocat_2(A, B, C, D) = k2_isocat_1(A, k11_cat_2(B, C), B, D, k8_isocat_2(B, C)))) <=> ![D: $i] : ((~m2_cat_1(D, A, k11_cat_2(B, C))) | (k11_isocat_2(A, B, C, D) = k2_isocat_1(A, k11_cat_2(B, C), B, D, k8_isocat_2(B, C)))))), (((v2_cat_1(C) & l1_cat_1(C)) => ![D: $i] : (m2_cat_1(D, A, k11_cat_2(B, C)) => (k11_isocat_2(A, B, C, D) = k2_isocat_1(A, k11_cat_2(B, C), B, D, k8_isocat_2(B, C))))) <=> ((v2_cat_1(C) & l1_cat_1(C)) => ![D: $i] : ((~m2_cat_1(D, A, k11_cat_2(B, C))) | (k11_isocat_2(A, B, C, D) = k2_isocat_1(A, k11_cat_2(B, C), B, D, k8_isocat_2(B, C))))))), rewrite(((v2_cat_1(C) & l1_cat_1(C)) => ![D: $i] : ((~m2_cat_1(D, A, k11_cat_2(B, C))) | (k11_isocat_2(A, B, C, D) = k2_isocat_1(A, k11_cat_2(B, C), B, D, k8_isocat_2(B, C))))) <=> ((~(v2_cat_1(C) & l1_cat_1(C))) | ![D: $i] : ((~m2_cat_1(D, A, k11_cat_2(B, C))) | (k11_isocat_2(A, B, C, D) = k2_isocat_1(A, k11_cat_2(B, C), B, D, k8_isocat_2(B, C)))))), (((v2_cat_1(C) & l1_cat_1(C)) => ![D: $i] : (m2_cat_1(D, A, k11_cat_2(B, C)) => (k11_isocat_2(A, B, C, D) = k2_isocat_1(A, k11_cat_2(B, C), B, D, k8_isocat_2(B, C))))) <=> ((~(v2_cat_1(C) & l1_cat_1(C))) | ![D: $i] : ((~m2_cat_1(D, A, k11_cat_2(B, C))) | (k11_isocat_2(A, B, C, D) = k2_isocat_1(A, k11_cat_2(B, C), B, D, k8_isocat_2(B, C)))))))), (![C: $i] : ((v2_cat_1(C) & l1_cat_1(C)) => ![D: $i] : (m2_cat_1(D, A, k11_cat_2(B, C)) => (k11_isocat_2(A, B, C, D) = k2_isocat_1(A, k11_cat_2(B, C), B, D, k8_isocat_2(B, C))))) <=> ![C: $i] : ((~(v2_cat_1(C) & l1_cat_1(C))) | ![D: $i] : ((~m2_cat_1(D, A, k11_cat_2(B, C))) | (k11_isocat_2(A, B, C, D) = k2_isocat_1(A, k11_cat_2(B, C), B, D, k8_isocat_2(B, C))))))), (((v2_cat_1(B) & l1_cat_1(B)) => ![C: $i] : ((v2_cat_1(C) & l1_cat_1(C)) => ![D: $i] : (m2_cat_1(D, A, k11_cat_2(B, C)) => (k11_isocat_2(A, B, C, D) = k2_isocat_1(A, k11_cat_2(B, C), B, D, k8_isocat_2(B, C)))))) <=> ((v2_cat_1(B) & l1_cat_1(B)) => ![C: $i] : ((~(v2_cat_1(C) & l1_cat_1(C))) | ![D: $i] : ((~m2_cat_1(D, A, k11_cat_2(B, C))) | (k11_isocat_2(A, B, C, D) = k2_isocat_1(A, k11_cat_2(B, C), B, D, k8_isocat_2(B, C)))))))), rewrite(((v2_cat_1(B) & l1_cat_1(B)) => ![C: $i] : ((~(v2_cat_1(C) & l1_cat_1(C))) | ![D: $i] : ((~m2_cat_1(D, A, k11_cat_2(B, C))) | (k11_isocat_2(A, B, C, D) = k2_isocat_1(A, k11_cat_2(B, C), B, D, k8_isocat_2(B, C)))))) <=> ((~(v2_cat_1(B) & l1_cat_1(B))) | ![C: $i] : ((~(v2_cat_1(C) & l1_cat_1(C))) | ![D: $i] : ((~m2_cat_1(D, A, k11_cat_2(B, C))) | (k11_isocat_2(A, B, C, D) = k2_isocat_1(A, k11_cat_2(B, C), B, D, k8_isocat_2(B, C))))))), (((v2_cat_1(B) & l1_cat_1(B)) => ![C: $i] : ((v2_cat_1(C) & l1_cat_1(C)) => ![D: $i] : (m2_cat_1(D, A, k11_cat_2(B, C)) => (k11_isocat_2(A, B, C, D) = k2_isocat_1(A, k11_cat_2(B, C), B, D, k8_isocat_2(B, C)))))) <=> ((~(v2_cat_1(B) & l1_cat_1(B))) | ![C: $i] : ((~(v2_cat_1(C) & l1_cat_1(C))) | ![D: $i] : ((~m2_cat_1(D, A, k11_cat_2(B, C))) | (k11_isocat_2(A, B, C, D) = k2_isocat_1(A, k11_cat_2(B, C), B, D, k8_isocat_2(B, C))))))))), (![B: $i] : ((v2_cat_1(B) & l1_cat_1(B)) => ![C: $i] : ((v2_cat_1(C) & l1_cat_1(C)) => ![D: $i] : (m2_cat_1(D, A, k11_cat_2(B, C)) => (k11_isocat_2(A, B, C, D) = k2_isocat_1(A, k11_cat_2(B, C), B, D, k8_isocat_2(B, C)))))) <=> ![B: $i] : ((~(v2_cat_1(B) & l1_cat_1(B))) | ![C: $i] : ((~(v2_cat_1(C) & l1_cat_1(C))) | ![D: $i] : ((~m2_cat_1(D, A, k11_cat_2(B, C))) | (k11_isocat_2(A, B, C, D) = k2_isocat_1(A, k11_cat_2(B, C), B, D, k8_isocat_2(B, C)))))))), (((v2_cat_1(A) & l1_cat_1(A)) => ![B: $i] : ((v2_cat_1(B) & l1_cat_1(B)) => ![C: $i] : ((v2_cat_1(C) & l1_cat_1(C)) => ![D: $i] : (m2_cat_1(D, A, k11_cat_2(B, C)) => (k11_isocat_2(A, B, C, D) = k2_isocat_1(A, k11_cat_2(B, C), B, D, k8_isocat_2(B, C))))))) <=> ((v2_cat_1(A) & l1_cat_1(A)) => ![B: $i] : ((~(v2_cat_1(B) & l1_cat_1(B))) | ![C: $i] : ((~(v2_cat_1(C) & l1_cat_1(C))) | ![D: $i] : ((~m2_cat_1(D, A, k11_cat_2(B, C))) | (k11_isocat_2(A, B, C, D) = k2_isocat_1(A, k11_cat_2(B, C), B, D, k8_isocat_2(B, C))))))))), rewrite(((v2_cat_1(A) & l1_cat_1(A)) => ![B: $i] : ((~(v2_cat_1(B) & l1_cat_1(B))) | ![C: $i] : ((~(v2_cat_1(C) & l1_cat_1(C))) | ![D: $i] : ((~m2_cat_1(D, A, k11_cat_2(B, C))) | (k11_isocat_2(A, B, C, D) = k2_isocat_1(A, k11_cat_2(B, C), B, D, k8_isocat_2(B, C))))))) <=> ((~(v2_cat_1(A) & l1_cat_1(A))) | ![B: $i] : ((~(v2_cat_1(B) & l1_cat_1(B))) | ![C: $i] : ((~(v2_cat_1(C) & l1_cat_1(C))) | ![D: $i] : ((~m2_cat_1(D, A, k11_cat_2(B, C))) | (k11_isocat_2(A, B, C, D) = k2_isocat_1(A, k11_cat_2(B, C), B, D, k8_isocat_2(B, C)))))))), (((v2_cat_1(A) & l1_cat_1(A)) => ![B: $i] : ((v2_cat_1(B) & l1_cat_1(B)) => ![C: $i] : ((v2_cat_1(C) & l1_cat_1(C)) => ![D: $i] : (m2_cat_1(D, A, k11_cat_2(B, C)) => (k11_isocat_2(A, B, C, D) = k2_isocat_1(A, k11_cat_2(B, C), B, D, k8_isocat_2(B, C))))))) <=> ((~(v2_cat_1(A) & l1_cat_1(A))) | ![B: $i] : ((~(v2_cat_1(B) & l1_cat_1(B))) | ![C: $i] : ((~(v2_cat_1(C) & l1_cat_1(C))) | ![D: $i] : ((~m2_cat_1(D, A, k11_cat_2(B, C))) | (k11_isocat_2(A, B, C, D) = k2_isocat_1(A, k11_cat_2(B, C), B, D, k8_isocat_2(B, C)))))))))),
% 18.72/18.92 inference(bind,[status(th)],[])).
% 18.72/18.92 tff(130,plain,
% 18.72/18.92 (![A: $i] : ((v2_cat_1(A) & l1_cat_1(A)) => ![B: $i] : ((v2_cat_1(B) & l1_cat_1(B)) => ![C: $i] : ((v2_cat_1(C) & l1_cat_1(C)) => ![D: $i] : (m2_cat_1(D, A, k11_cat_2(B, C)) => (k11_isocat_2(A, B, C, D) = k2_isocat_1(A, k11_cat_2(B, C), B, D, k8_isocat_2(B, C))))))) <=> ![A: $i] : ((~(v2_cat_1(A) & l1_cat_1(A))) | ![B: $i] : ((~(v2_cat_1(B) & l1_cat_1(B))) | ![C: $i] : ((~(v2_cat_1(C) & l1_cat_1(C))) | ![D: $i] : ((~m2_cat_1(D, A, k11_cat_2(B, C))) | (k11_isocat_2(A, B, C, D) = k2_isocat_1(A, k11_cat_2(B, C), B, D, k8_isocat_2(B, C)))))))),
% 18.72/18.92 inference(quant_intro,[status(thm)],[129])).
% 18.72/18.92 tff(131,axiom,(![A: $i] : ((v2_cat_1(A) & l1_cat_1(A)) => ![B: $i] : ((v2_cat_1(B) & l1_cat_1(B)) => ![C: $i] : ((v2_cat_1(C) & l1_cat_1(C)) => ![D: $i] : (m2_cat_1(D, A, k11_cat_2(B, C)) => (k11_isocat_2(A, B, C, D) = k2_isocat_1(A, k11_cat_2(B, C), B, D, k8_isocat_2(B, C)))))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','d7_isocat_2')).
% 18.72/18.92 tff(132,plain,
% 18.72/18.92 (![A: $i] : ((~(v2_cat_1(A) & l1_cat_1(A))) | ![B: $i] : ((~(v2_cat_1(B) & l1_cat_1(B))) | ![C: $i] : ((~(v2_cat_1(C) & l1_cat_1(C))) | ![D: $i] : ((~m2_cat_1(D, A, k11_cat_2(B, C))) | (k11_isocat_2(A, B, C, D) = k2_isocat_1(A, k11_cat_2(B, C), B, D, k8_isocat_2(B, C)))))))),
% 18.72/18.92 inference(modus_ponens,[status(thm)],[131, 130])).
% 18.72/18.92 tff(133,plain,
% 18.72/18.92 (![A: $i] : ((~(v2_cat_1(A) & l1_cat_1(A))) | ![B: $i] : ((~(v2_cat_1(B) & l1_cat_1(B))) | ![C: $i] : ((~(v2_cat_1(C) & l1_cat_1(C))) | ![D: $i] : ((~m2_cat_1(D, A, k11_cat_2(B, C))) | (k11_isocat_2(A, B, C, D) = k2_isocat_1(A, k11_cat_2(B, C), B, D, k8_isocat_2(B, C)))))))),
% 18.72/18.92 inference(modus_ponens,[status(thm)],[132, 128])).
% 18.72/18.92 tff(134,plain,(
% 18.72/18.92 ![A: $i] : ((~(v2_cat_1(A) & l1_cat_1(A))) | ![B: $i] : ((~(v2_cat_1(B) & l1_cat_1(B))) | ![C: $i] : ((~(v2_cat_1(C) & l1_cat_1(C))) | ![D: $i] : ((~m2_cat_1(D, A, k11_cat_2(B, C))) | (k11_isocat_2(A, B, C, D) = k2_isocat_1(A, k11_cat_2(B, C), B, D, k8_isocat_2(B, C)))))))),
% 18.72/18.92 inference(skolemize,[status(sab)],[133])).
% 18.72/18.92 tff(135,plain,
% 18.72/18.92 (![A: $i] : ((~l1_cat_1(A)) | (~v2_cat_1(A)) | ![B: $i] : ((~l1_cat_1(B)) | (~v2_cat_1(B)) | ![C: $i] : ((~l1_cat_1(C)) | ![D: $i] : ((~m2_cat_1(D, A, k11_cat_2(B, C))) | (k11_isocat_2(A, B, C, D) = k2_isocat_1(A, k11_cat_2(B, C), B, D, k8_isocat_2(B, C)))) | (~v2_cat_1(C)))))),
% 18.72/18.92 inference(modus_ponens,[status(thm)],[134, 127])).
% 18.72/18.92 tff(136,plain,
% 18.72/18.92 (![A: $i] : ((~l1_cat_1(A)) | (~v2_cat_1(A)) | ![B: $i] : ((~l1_cat_1(B)) | (~v2_cat_1(B)) | ![C: $i] : ((~l1_cat_1(C)) | ![D: $i] : ((~m2_cat_1(D, A, k11_cat_2(B, C))) | (k11_isocat_2(A, B, C, D) = k2_isocat_1(A, k11_cat_2(B, C), B, D, k8_isocat_2(B, C)))) | (~v2_cat_1(C)))))),
% 18.72/18.92 inference(modus_ponens,[status(thm)],[135, 125])).
% 18.72/18.92 tff(137,plain,
% 18.72/18.92 (![A: $i] : ((~l1_cat_1(A)) | (~v2_cat_1(A)) | ![B: $i] : ((~l1_cat_1(B)) | (~v2_cat_1(B)) | ![C: $i] : ((~l1_cat_1(C)) | (~v2_cat_1(C)) | ![D: $i] : ((~m2_cat_1(D, A, k11_cat_2(B, C))) | (k11_isocat_2(A, B, C, D) = k2_isocat_1(A, k11_cat_2(B, C), B, D, k8_isocat_2(B, C)))))))),
% 18.72/18.92 inference(modus_ponens,[status(thm)],[136, 120])).
% 18.72/18.92 tff(138,plain,
% 18.72/18.92 (((~![A: $i] : ((~l1_cat_1(A)) | (~v2_cat_1(A)) | ![B: $i] : ((~l1_cat_1(B)) | (~v2_cat_1(B)) | ![C: $i] : ((~l1_cat_1(C)) | (~v2_cat_1(C)) | ![D: $i] : ((~m2_cat_1(D, A, k11_cat_2(B, C))) | (k11_isocat_2(A, B, C, D) = k2_isocat_1(A, k11_cat_2(B, C), B, D, k8_isocat_2(B, C)))))))) | ((~l1_cat_1(A!0)) | (~v2_cat_1(A!0)) | ![B: $i] : ((~l1_cat_1(B)) | (~v2_cat_1(B)) | ![C: $i] : ((~l1_cat_1(C)) | (~v2_cat_1(C)) | ![D: $i] : ((~m2_cat_1(D, A!0, k11_cat_2(B, C))) | (k11_isocat_2(A!0, B, C, D) = k2_isocat_1(A!0, k11_cat_2(B, C), B, D, k8_isocat_2(B, C)))))))) <=> ((~![A: $i] : ((~l1_cat_1(A)) | (~v2_cat_1(A)) | ![B: $i] : ((~l1_cat_1(B)) | (~v2_cat_1(B)) | ![C: $i] : ((~l1_cat_1(C)) | (~v2_cat_1(C)) | ![D: $i] : ((~m2_cat_1(D, A, k11_cat_2(B, C))) | (k11_isocat_2(A, B, C, D) = k2_isocat_1(A, k11_cat_2(B, C), B, D, k8_isocat_2(B, C)))))))) | (~l1_cat_1(A!0)) | (~v2_cat_1(A!0)) | ![B: $i] : ((~l1_cat_1(B)) | (~v2_cat_1(B)) | ![C: $i] : ((~l1_cat_1(C)) | (~v2_cat_1(C)) | ![D: $i] : ((~m2_cat_1(D, A!0, k11_cat_2(B, C))) | (k11_isocat_2(A!0, B, C, D) = k2_isocat_1(A!0, k11_cat_2(B, C), B, D, k8_isocat_2(B, C)))))))),
% 18.72/18.92 inference(rewrite,[status(thm)],[])).
% 18.72/18.92 tff(139,plain,
% 18.72/18.92 ((~![A: $i] : ((~l1_cat_1(A)) | (~v2_cat_1(A)) | ![B: $i] : ((~l1_cat_1(B)) | (~v2_cat_1(B)) | ![C: $i] : ((~l1_cat_1(C)) | (~v2_cat_1(C)) | ![D: $i] : ((~m2_cat_1(D, A, k11_cat_2(B, C))) | (k11_isocat_2(A, B, C, D) = k2_isocat_1(A, k11_cat_2(B, C), B, D, k8_isocat_2(B, C)))))))) | ((~l1_cat_1(A!0)) | (~v2_cat_1(A!0)) | ![B: $i] : ((~l1_cat_1(B)) | (~v2_cat_1(B)) | ![C: $i] : ((~l1_cat_1(C)) | (~v2_cat_1(C)) | ![D: $i] : ((~m2_cat_1(D, A!0, k11_cat_2(B, C))) | (k11_isocat_2(A!0, B, C, D) = k2_isocat_1(A!0, k11_cat_2(B, C), B, D, k8_isocat_2(B, C)))))))),
% 18.72/18.92 inference(quant_inst,[status(thm)],[])).
% 18.72/18.92 tff(140,plain,
% 18.72/18.92 ((~![A: $i] : ((~l1_cat_1(A)) | (~v2_cat_1(A)) | ![B: $i] : ((~l1_cat_1(B)) | (~v2_cat_1(B)) | ![C: $i] : ((~l1_cat_1(C)) | (~v2_cat_1(C)) | ![D: $i] : ((~m2_cat_1(D, A, k11_cat_2(B, C))) | (k11_isocat_2(A, B, C, D) = k2_isocat_1(A, k11_cat_2(B, C), B, D, k8_isocat_2(B, C)))))))) | (~l1_cat_1(A!0)) | (~v2_cat_1(A!0)) | ![B: $i] : ((~l1_cat_1(B)) | (~v2_cat_1(B)) | ![C: $i] : ((~l1_cat_1(C)) | (~v2_cat_1(C)) | ![D: $i] : ((~m2_cat_1(D, A!0, k11_cat_2(B, C))) | (k11_isocat_2(A!0, B, C, D) = k2_isocat_1(A!0, k11_cat_2(B, C), B, D, k8_isocat_2(B, C))))))),
% 18.72/18.92 inference(modus_ponens,[status(thm)],[139, 138])).
% 18.72/18.92 tff(141,plain,
% 18.72/18.92 (![B: $i] : ((~l1_cat_1(B)) | (~v2_cat_1(B)) | ![C: $i] : ((~l1_cat_1(C)) | (~v2_cat_1(C)) | ![D: $i] : ((~m2_cat_1(D, A!0, k11_cat_2(B, C))) | (k11_isocat_2(A!0, B, C, D) = k2_isocat_1(A!0, k11_cat_2(B, C), B, D, k8_isocat_2(B, C))))))),
% 18.72/18.92 inference(unit_resolution,[status(thm)],[140, 45, 44, 137])).
% 18.72/18.92 tff(142,plain,
% 18.72/18.92 (((~![B: $i] : ((~l1_cat_1(B)) | (~v2_cat_1(B)) | ![C: $i] : ((~l1_cat_1(C)) | (~v2_cat_1(C)) | ![D: $i] : ((~m2_cat_1(D, A!0, k11_cat_2(B, C))) | (k11_isocat_2(A!0, B, C, D) = k2_isocat_1(A!0, k11_cat_2(B, C), B, D, k8_isocat_2(B, C))))))) | ((~l1_cat_1(B!1)) | (~v2_cat_1(B!1)) | ![C: $i] : ((~l1_cat_1(C)) | (~v2_cat_1(C)) | ![D: $i] : ((~m2_cat_1(D, A!0, k11_cat_2(B!1, C))) | (k11_isocat_2(A!0, B!1, C, D) = k2_isocat_1(A!0, k11_cat_2(B!1, C), B!1, D, k8_isocat_2(B!1, C))))))) <=> ((~![B: $i] : ((~l1_cat_1(B)) | (~v2_cat_1(B)) | ![C: $i] : ((~l1_cat_1(C)) | (~v2_cat_1(C)) | ![D: $i] : ((~m2_cat_1(D, A!0, k11_cat_2(B, C))) | (k11_isocat_2(A!0, B, C, D) = k2_isocat_1(A!0, k11_cat_2(B, C), B, D, k8_isocat_2(B, C))))))) | (~l1_cat_1(B!1)) | (~v2_cat_1(B!1)) | ![C: $i] : ((~l1_cat_1(C)) | (~v2_cat_1(C)) | ![D: $i] : ((~m2_cat_1(D, A!0, k11_cat_2(B!1, C))) | (k11_isocat_2(A!0, B!1, C, D) = k2_isocat_1(A!0, k11_cat_2(B!1, C), B!1, D, k8_isocat_2(B!1, C))))))),
% 18.72/18.92 inference(rewrite,[status(thm)],[])).
% 18.72/18.92 tff(143,plain,
% 18.72/18.92 ((~![B: $i] : ((~l1_cat_1(B)) | (~v2_cat_1(B)) | ![C: $i] : ((~l1_cat_1(C)) | (~v2_cat_1(C)) | ![D: $i] : ((~m2_cat_1(D, A!0, k11_cat_2(B, C))) | (k11_isocat_2(A!0, B, C, D) = k2_isocat_1(A!0, k11_cat_2(B, C), B, D, k8_isocat_2(B, C))))))) | ((~l1_cat_1(B!1)) | (~v2_cat_1(B!1)) | ![C: $i] : ((~l1_cat_1(C)) | (~v2_cat_1(C)) | ![D: $i] : ((~m2_cat_1(D, A!0, k11_cat_2(B!1, C))) | (k11_isocat_2(A!0, B!1, C, D) = k2_isocat_1(A!0, k11_cat_2(B!1, C), B!1, D, k8_isocat_2(B!1, C))))))),
% 18.72/18.92 inference(quant_inst,[status(thm)],[])).
% 18.72/18.92 tff(144,plain,
% 18.72/18.92 ((~![B: $i] : ((~l1_cat_1(B)) | (~v2_cat_1(B)) | ![C: $i] : ((~l1_cat_1(C)) | (~v2_cat_1(C)) | ![D: $i] : ((~m2_cat_1(D, A!0, k11_cat_2(B, C))) | (k11_isocat_2(A!0, B, C, D) = k2_isocat_1(A!0, k11_cat_2(B, C), B, D, k8_isocat_2(B, C))))))) | (~l1_cat_1(B!1)) | (~v2_cat_1(B!1)) | ![C: $i] : ((~l1_cat_1(C)) | (~v2_cat_1(C)) | ![D: $i] : ((~m2_cat_1(D, A!0, k11_cat_2(B!1, C))) | (k11_isocat_2(A!0, B!1, C, D) = k2_isocat_1(A!0, k11_cat_2(B!1, C), B!1, D, k8_isocat_2(B!1, C)))))),
% 18.72/18.92 inference(modus_ponens,[status(thm)],[143, 142])).
% 18.72/18.92 tff(145,plain,
% 18.72/18.92 (![C: $i] : ((~l1_cat_1(C)) | (~v2_cat_1(C)) | ![D: $i] : ((~m2_cat_1(D, A!0, k11_cat_2(B!1, C))) | (k11_isocat_2(A!0, B!1, C, D) = k2_isocat_1(A!0, k11_cat_2(B!1, C), B!1, D, k8_isocat_2(B!1, C)))))),
% 18.72/18.92 inference(unit_resolution,[status(thm)],[144, 51, 50, 141])).
% 18.72/18.92 tff(146,plain,
% 18.72/18.92 (((~![C: $i] : ((~l1_cat_1(C)) | (~v2_cat_1(C)) | ![D: $i] : ((~m2_cat_1(D, A!0, k11_cat_2(B!1, C))) | (k11_isocat_2(A!0, B!1, C, D) = k2_isocat_1(A!0, k11_cat_2(B!1, C), B!1, D, k8_isocat_2(B!1, C)))))) | ((~l1_cat_1(C!2)) | (~v2_cat_1(C!2)) | ![D: $i] : ((~m2_cat_1(D, A!0, k11_cat_2(B!1, C!2))) | (k11_isocat_2(A!0, B!1, C!2, D) = k2_isocat_1(A!0, k11_cat_2(B!1, C!2), B!1, D, k8_isocat_2(B!1, C!2)))))) <=> ((~![C: $i] : ((~l1_cat_1(C)) | (~v2_cat_1(C)) | ![D: $i] : ((~m2_cat_1(D, A!0, k11_cat_2(B!1, C))) | (k11_isocat_2(A!0, B!1, C, D) = k2_isocat_1(A!0, k11_cat_2(B!1, C), B!1, D, k8_isocat_2(B!1, C)))))) | (~l1_cat_1(C!2)) | (~v2_cat_1(C!2)) | ![D: $i] : ((~m2_cat_1(D, A!0, k11_cat_2(B!1, C!2))) | (k11_isocat_2(A!0, B!1, C!2, D) = k2_isocat_1(A!0, k11_cat_2(B!1, C!2), B!1, D, k8_isocat_2(B!1, C!2)))))),
% 18.72/18.92 inference(rewrite,[status(thm)],[])).
% 18.72/18.92 tff(147,plain,
% 18.72/18.92 ((~![C: $i] : ((~l1_cat_1(C)) | (~v2_cat_1(C)) | ![D: $i] : ((~m2_cat_1(D, A!0, k11_cat_2(B!1, C))) | (k11_isocat_2(A!0, B!1, C, D) = k2_isocat_1(A!0, k11_cat_2(B!1, C), B!1, D, k8_isocat_2(B!1, C)))))) | ((~l1_cat_1(C!2)) | (~v2_cat_1(C!2)) | ![D: $i] : ((~m2_cat_1(D, A!0, k11_cat_2(B!1, C!2))) | (k11_isocat_2(A!0, B!1, C!2, D) = k2_isocat_1(A!0, k11_cat_2(B!1, C!2), B!1, D, k8_isocat_2(B!1, C!2)))))),
% 18.72/18.92 inference(quant_inst,[status(thm)],[])).
% 18.72/18.92 tff(148,plain,
% 18.72/18.92 ((~![C: $i] : ((~l1_cat_1(C)) | (~v2_cat_1(C)) | ![D: $i] : ((~m2_cat_1(D, A!0, k11_cat_2(B!1, C))) | (k11_isocat_2(A!0, B!1, C, D) = k2_isocat_1(A!0, k11_cat_2(B!1, C), B!1, D, k8_isocat_2(B!1, C)))))) | (~l1_cat_1(C!2)) | (~v2_cat_1(C!2)) | ![D: $i] : ((~m2_cat_1(D, A!0, k11_cat_2(B!1, C!2))) | (k11_isocat_2(A!0, B!1, C!2, D) = k2_isocat_1(A!0, k11_cat_2(B!1, C!2), B!1, D, k8_isocat_2(B!1, C!2))))),
% 18.72/18.92 inference(modus_ponens,[status(thm)],[147, 146])).
% 18.72/18.92 tff(149,plain,
% 18.72/18.92 (![D: $i] : ((~m2_cat_1(D, A!0, k11_cat_2(B!1, C!2))) | (k11_isocat_2(A!0, B!1, C!2, D) = k2_isocat_1(A!0, k11_cat_2(B!1, C!2), B!1, D, k8_isocat_2(B!1, C!2))))),
% 18.72/18.92 inference(unit_resolution,[status(thm)],[148, 57, 56, 145])).
% 18.72/18.92 tff(150,plain,
% 18.72/18.92 (((~![D: $i] : ((~m2_cat_1(D, A!0, k11_cat_2(B!1, C!2))) | (k11_isocat_2(A!0, B!1, C!2, D) = k2_isocat_1(A!0, k11_cat_2(B!1, C!2), B!1, D, k8_isocat_2(B!1, C!2))))) | ((~m2_cat_1(F!5, A!0, k11_cat_2(B!1, C!2))) | (k11_isocat_2(A!0, B!1, C!2, F!5) = k2_isocat_1(A!0, k11_cat_2(B!1, C!2), B!1, F!5, k8_isocat_2(B!1, C!2))))) <=> ((~![D: $i] : ((~m2_cat_1(D, A!0, k11_cat_2(B!1, C!2))) | (k11_isocat_2(A!0, B!1, C!2, D) = k2_isocat_1(A!0, k11_cat_2(B!1, C!2), B!1, D, k8_isocat_2(B!1, C!2))))) | (~m2_cat_1(F!5, A!0, k11_cat_2(B!1, C!2))) | (k11_isocat_2(A!0, B!1, C!2, F!5) = k2_isocat_1(A!0, k11_cat_2(B!1, C!2), B!1, F!5, k8_isocat_2(B!1, C!2))))),
% 18.72/18.92 inference(rewrite,[status(thm)],[])).
% 18.72/18.92 tff(151,plain,
% 18.72/18.92 ((~![D: $i] : ((~m2_cat_1(D, A!0, k11_cat_2(B!1, C!2))) | (k11_isocat_2(A!0, B!1, C!2, D) = k2_isocat_1(A!0, k11_cat_2(B!1, C!2), B!1, D, k8_isocat_2(B!1, C!2))))) | ((~m2_cat_1(F!5, A!0, k11_cat_2(B!1, C!2))) | (k11_isocat_2(A!0, B!1, C!2, F!5) = k2_isocat_1(A!0, k11_cat_2(B!1, C!2), B!1, F!5, k8_isocat_2(B!1, C!2))))),
% 18.72/18.92 inference(quant_inst,[status(thm)],[])).
% 18.72/18.92 tff(152,plain,
% 18.72/18.92 ((~![D: $i] : ((~m2_cat_1(D, A!0, k11_cat_2(B!1, C!2))) | (k11_isocat_2(A!0, B!1, C!2, D) = k2_isocat_1(A!0, k11_cat_2(B!1, C!2), B!1, D, k8_isocat_2(B!1, C!2))))) | (~m2_cat_1(F!5, A!0, k11_cat_2(B!1, C!2))) | (k11_isocat_2(A!0, B!1, C!2, F!5) = k2_isocat_1(A!0, k11_cat_2(B!1, C!2), B!1, F!5, k8_isocat_2(B!1, C!2)))),
% 18.72/18.92 inference(modus_ponens,[status(thm)],[151, 150])).
% 18.72/18.92 tff(153,plain,
% 18.72/18.92 (k11_isocat_2(A!0, B!1, C!2, F!5) = k2_isocat_1(A!0, k11_cat_2(B!1, C!2), B!1, F!5, k8_isocat_2(B!1, C!2))),
% 18.72/18.92 inference(unit_resolution,[status(thm)],[152, 67, 149])).
% 18.72/18.92 tff(154,plain,
% 18.72/18.92 (k2_isocat_1(A!0, k11_cat_2(B!1, C!2), B!1, F!5, k8_isocat_2(B!1, C!2)) = k11_isocat_2(A!0, B!1, C!2, F!5)),
% 18.72/18.92 inference(symmetry,[status(thm)],[153])).
% 18.72/18.92 tff(155,plain,
% 18.72/18.92 (k2_isocat_1(A!0, k11_cat_2(B!1, C!2), B!1, F!5, k16_cat_2(B!1, C!2)) = k2_isocat_1(A!0, k11_cat_2(B!1, C!2), B!1, F!5, k8_isocat_2(B!1, C!2))),
% 18.72/18.92 inference(monotonicity,[status(thm)],[99])).
% 18.72/18.92 tff(156,plain,
% 18.72/18.92 (k2_isocat_1(A!0, k11_cat_2(B!1, C!2), B!1, F!5, k16_cat_2(B!1, C!2)) = k11_isocat_2(A!0, B!1, C!2, F!5)),
% 18.72/18.92 inference(transitivity,[status(thm)],[155, 154])).
% 18.72/18.92 tff(157,plain,
% 18.72/18.92 (((~![D: $i] : ((~m2_cat_1(D, A!0, k11_cat_2(B!1, C!2))) | (k11_isocat_2(A!0, B!1, C!2, D) = k2_isocat_1(A!0, k11_cat_2(B!1, C!2), B!1, D, k8_isocat_2(B!1, C!2))))) | ((~m2_cat_1(E!4, A!0, k11_cat_2(B!1, C!2))) | (k11_isocat_2(A!0, B!1, C!2, E!4) = k2_isocat_1(A!0, k11_cat_2(B!1, C!2), B!1, E!4, k8_isocat_2(B!1, C!2))))) <=> ((~![D: $i] : ((~m2_cat_1(D, A!0, k11_cat_2(B!1, C!2))) | (k11_isocat_2(A!0, B!1, C!2, D) = k2_isocat_1(A!0, k11_cat_2(B!1, C!2), B!1, D, k8_isocat_2(B!1, C!2))))) | (~m2_cat_1(E!4, A!0, k11_cat_2(B!1, C!2))) | (k11_isocat_2(A!0, B!1, C!2, E!4) = k2_isocat_1(A!0, k11_cat_2(B!1, C!2), B!1, E!4, k8_isocat_2(B!1, C!2))))),
% 18.72/18.92 inference(rewrite,[status(thm)],[])).
% 18.72/18.92 tff(158,plain,
% 18.72/18.92 ((~![D: $i] : ((~m2_cat_1(D, A!0, k11_cat_2(B!1, C!2))) | (k11_isocat_2(A!0, B!1, C!2, D) = k2_isocat_1(A!0, k11_cat_2(B!1, C!2), B!1, D, k8_isocat_2(B!1, C!2))))) | ((~m2_cat_1(E!4, A!0, k11_cat_2(B!1, C!2))) | (k11_isocat_2(A!0, B!1, C!2, E!4) = k2_isocat_1(A!0, k11_cat_2(B!1, C!2), B!1, E!4, k8_isocat_2(B!1, C!2))))),
% 18.72/18.92 inference(quant_inst,[status(thm)],[])).
% 18.72/18.92 tff(159,plain,
% 18.72/18.92 ((~![D: $i] : ((~m2_cat_1(D, A!0, k11_cat_2(B!1, C!2))) | (k11_isocat_2(A!0, B!1, C!2, D) = k2_isocat_1(A!0, k11_cat_2(B!1, C!2), B!1, D, k8_isocat_2(B!1, C!2))))) | (~m2_cat_1(E!4, A!0, k11_cat_2(B!1, C!2))) | (k11_isocat_2(A!0, B!1, C!2, E!4) = k2_isocat_1(A!0, k11_cat_2(B!1, C!2), B!1, E!4, k8_isocat_2(B!1, C!2)))),
% 18.72/18.92 inference(modus_ponens,[status(thm)],[158, 157])).
% 18.72/18.92 tff(160,plain,
% 18.72/18.92 (k11_isocat_2(A!0, B!1, C!2, E!4) = k2_isocat_1(A!0, k11_cat_2(B!1, C!2), B!1, E!4, k8_isocat_2(B!1, C!2))),
% 18.72/18.92 inference(unit_resolution,[status(thm)],[159, 62, 149])).
% 18.72/18.92 tff(161,plain,
% 18.72/18.92 (k2_isocat_1(A!0, k11_cat_2(B!1, C!2), B!1, E!4, k8_isocat_2(B!1, C!2)) = k11_isocat_2(A!0, B!1, C!2, E!4)),
% 18.72/18.92 inference(symmetry,[status(thm)],[160])).
% 18.72/18.92 tff(162,plain,
% 18.72/18.92 (k2_isocat_1(A!0, k11_cat_2(B!1, C!2), B!1, E!4, k16_cat_2(B!1, C!2)) = k2_isocat_1(A!0, k11_cat_2(B!1, C!2), B!1, E!4, k8_isocat_2(B!1, C!2))),
% 18.72/18.92 inference(monotonicity,[status(thm)],[99])).
% 18.72/18.92 tff(163,plain,
% 18.72/18.92 (k2_isocat_1(A!0, k11_cat_2(B!1, C!2), B!1, E!4, k16_cat_2(B!1, C!2)) = k11_isocat_2(A!0, B!1, C!2, E!4)),
% 18.72/18.92 inference(transitivity,[status(thm)],[162, 161])).
% 18.72/18.92 tff(164,plain,
% 18.72/18.92 (((~![D: $i] : ((~m2_cat_1(D, A!0, k11_cat_2(B!1, C!2))) | (k11_isocat_2(A!0, B!1, C!2, D) = k2_isocat_1(A!0, k11_cat_2(B!1, C!2), B!1, D, k8_isocat_2(B!1, C!2))))) | ((~m2_cat_1(D!3, A!0, k11_cat_2(B!1, C!2))) | (k11_isocat_2(A!0, B!1, C!2, D!3) = k2_isocat_1(A!0, k11_cat_2(B!1, C!2), B!1, D!3, k8_isocat_2(B!1, C!2))))) <=> ((~![D: $i] : ((~m2_cat_1(D, A!0, k11_cat_2(B!1, C!2))) | (k11_isocat_2(A!0, B!1, C!2, D) = k2_isocat_1(A!0, k11_cat_2(B!1, C!2), B!1, D, k8_isocat_2(B!1, C!2))))) | (~m2_cat_1(D!3, A!0, k11_cat_2(B!1, C!2))) | (k11_isocat_2(A!0, B!1, C!2, D!3) = k2_isocat_1(A!0, k11_cat_2(B!1, C!2), B!1, D!3, k8_isocat_2(B!1, C!2))))),
% 18.72/18.92 inference(rewrite,[status(thm)],[])).
% 18.72/18.92 tff(165,plain,
% 18.72/18.92 ((~![D: $i] : ((~m2_cat_1(D, A!0, k11_cat_2(B!1, C!2))) | (k11_isocat_2(A!0, B!1, C!2, D) = k2_isocat_1(A!0, k11_cat_2(B!1, C!2), B!1, D, k8_isocat_2(B!1, C!2))))) | ((~m2_cat_1(D!3, A!0, k11_cat_2(B!1, C!2))) | (k11_isocat_2(A!0, B!1, C!2, D!3) = k2_isocat_1(A!0, k11_cat_2(B!1, C!2), B!1, D!3, k8_isocat_2(B!1, C!2))))),
% 18.72/18.92 inference(quant_inst,[status(thm)],[])).
% 18.72/18.92 tff(166,plain,
% 18.72/18.92 ((~![D: $i] : ((~m2_cat_1(D, A!0, k11_cat_2(B!1, C!2))) | (k11_isocat_2(A!0, B!1, C!2, D) = k2_isocat_1(A!0, k11_cat_2(B!1, C!2), B!1, D, k8_isocat_2(B!1, C!2))))) | (~m2_cat_1(D!3, A!0, k11_cat_2(B!1, C!2))) | (k11_isocat_2(A!0, B!1, C!2, D!3) = k2_isocat_1(A!0, k11_cat_2(B!1, C!2), B!1, D!3, k8_isocat_2(B!1, C!2)))),
% 18.72/18.92 inference(modus_ponens,[status(thm)],[165, 164])).
% 18.72/18.92 tff(167,plain,
% 18.72/18.92 (k11_isocat_2(A!0, B!1, C!2, D!3) = k2_isocat_1(A!0, k11_cat_2(B!1, C!2), B!1, D!3, k8_isocat_2(B!1, C!2))),
% 18.72/18.92 inference(unit_resolution,[status(thm)],[166, 102, 149])).
% 18.72/18.92 tff(168,plain,
% 18.72/18.92 (k2_isocat_1(A!0, k11_cat_2(B!1, C!2), B!1, D!3, k8_isocat_2(B!1, C!2)) = k11_isocat_2(A!0, B!1, C!2, D!3)),
% 18.72/18.92 inference(symmetry,[status(thm)],[167])).
% 18.72/18.92 tff(169,plain,
% 18.72/18.92 (k2_isocat_1(A!0, k11_cat_2(B!1, C!2), B!1, D!3, k16_cat_2(B!1, C!2)) = k2_isocat_1(A!0, k11_cat_2(B!1, C!2), B!1, D!3, k8_isocat_2(B!1, C!2))),
% 18.72/18.92 inference(monotonicity,[status(thm)],[99])).
% 18.72/18.92 tff(170,plain,
% 18.72/18.92 (k2_isocat_1(A!0, k11_cat_2(B!1, C!2), B!1, D!3, k16_cat_2(B!1, C!2)) = k11_isocat_2(A!0, B!1, C!2, D!3)),
% 18.72/18.92 inference(transitivity,[status(thm)],[169, 168])).
% 18.72/18.92 tff(171,plain,
% 18.72/18.92 (k8_nattra_1(A!0, B!1, k2_isocat_1(A!0, k11_cat_2(B!1, C!2), B!1, D!3, k16_cat_2(B!1, C!2)), k2_isocat_1(A!0, k11_cat_2(B!1, C!2), B!1, E!4, k16_cat_2(B!1, C!2)), k2_isocat_1(A!0, k11_cat_2(B!1, C!2), B!1, F!5, k16_cat_2(B!1, C!2)), k6_isocat_1(A!0, k11_cat_2(B!1, C!2), B!1, D!3, E!4, G!6, k16_cat_2(B!1, C!2)), k6_isocat_1(A!0, k11_cat_2(B!1, C!2), B!1, E!4, F!5, H!7, k16_cat_2(B!1, C!2))) = k8_nattra_1(A!0, B!1, k11_isocat_2(A!0, B!1, C!2, D!3), k11_isocat_2(A!0, B!1, C!2, E!4), k11_isocat_2(A!0, B!1, C!2, F!5), k13_isocat_2(A!0, B!1, C!2, D!3, E!4, G!6), k13_isocat_2(A!0, B!1, C!2, E!4, F!5, H!7))),
% 18.72/18.92 inference(monotonicity,[status(thm)],[170, 163, 156, 118, 101])).
% 18.72/18.92 tff(172,plain,
% 18.72/18.92 (k8_nattra_1(A!0, B!1, k11_isocat_2(A!0, B!1, C!2, D!3), k11_isocat_2(A!0, B!1, C!2, E!4), k11_isocat_2(A!0, B!1, C!2, F!5), k13_isocat_2(A!0, B!1, C!2, D!3, E!4, G!6), k13_isocat_2(A!0, B!1, C!2, E!4, F!5, H!7)) = k8_nattra_1(A!0, B!1, k2_isocat_1(A!0, k11_cat_2(B!1, C!2), B!1, D!3, k16_cat_2(B!1, C!2)), k2_isocat_1(A!0, k11_cat_2(B!1, C!2), B!1, E!4, k16_cat_2(B!1, C!2)), k2_isocat_1(A!0, k11_cat_2(B!1, C!2), B!1, F!5, k16_cat_2(B!1, C!2)), k6_isocat_1(A!0, k11_cat_2(B!1, C!2), B!1, D!3, E!4, G!6, k16_cat_2(B!1, C!2)), k6_isocat_1(A!0, k11_cat_2(B!1, C!2), B!1, E!4, F!5, H!7, k16_cat_2(B!1, C!2)))),
% 18.72/18.92 inference(symmetry,[status(thm)],[171])).
% 18.72/18.92 tff(173,plain,
% 18.72/18.92 (k6_isocat_1(A!0, k11_cat_2(B!1, C!2), B!1, D!3, F!5, k8_nattra_1(A!0, k11_cat_2(B!1, C!2), D!3, E!4, F!5, G!6, H!7), k16_cat_2(B!1, C!2)) = k6_isocat_1(A!0, k11_cat_2(B!1, C!2), B!1, D!3, F!5, k8_nattra_1(A!0, k11_cat_2(B!1, C!2), D!3, E!4, F!5, G!6, H!7), k8_isocat_2(B!1, C!2))),
% 18.72/18.92 inference(monotonicity,[status(thm)],[99])).
% 18.72/18.92 tff(174,plain,
% 18.72/18.92 (k6_isocat_1(A!0, k11_cat_2(B!1, C!2), B!1, D!3, F!5, k8_nattra_1(A!0, k11_cat_2(B!1, C!2), D!3, E!4, F!5, G!6, H!7), k8_isocat_2(B!1, C!2)) = k6_isocat_1(A!0, k11_cat_2(B!1, C!2), B!1, D!3, F!5, k8_nattra_1(A!0, k11_cat_2(B!1, C!2), D!3, E!4, F!5, G!6, H!7), k16_cat_2(B!1, C!2))),
% 18.72/18.92 inference(symmetry,[status(thm)],[173])).
% 18.72/18.92 tff(175,plain,
% 18.72/18.92 (^[A: $i, B: $i] : refl(((~l1_cat_1(B)) | (~v2_cat_1(A)) | (~l1_cat_1(A)) | (~v2_cat_1(B)) | (~((~v2_cat_1(k11_cat_2(A, B))) | (~l1_cat_1(k11_cat_2(A, B)))))) <=> ((~l1_cat_1(B)) | (~v2_cat_1(A)) | (~l1_cat_1(A)) | (~v2_cat_1(B)) | (~((~v2_cat_1(k11_cat_2(A, B))) | (~l1_cat_1(k11_cat_2(A, B)))))))),
% 18.72/18.92 inference(bind,[status(th)],[])).
% 18.72/18.92 tff(176,plain,
% 18.72/18.92 (![A: $i, B: $i] : ((~l1_cat_1(B)) | (~v2_cat_1(A)) | (~l1_cat_1(A)) | (~v2_cat_1(B)) | (~((~v2_cat_1(k11_cat_2(A, B))) | (~l1_cat_1(k11_cat_2(A, B)))))) <=> ![A: $i, B: $i] : ((~l1_cat_1(B)) | (~v2_cat_1(A)) | (~l1_cat_1(A)) | (~v2_cat_1(B)) | (~((~v2_cat_1(k11_cat_2(A, B))) | (~l1_cat_1(k11_cat_2(A, B))))))),
% 18.72/18.92 inference(quant_intro,[status(thm)],[175])).
% 18.72/18.92 tff(177,plain,
% 18.72/18.92 (^[A: $i, B: $i] : trans(monotonicity(trans(monotonicity(rewrite((v2_cat_1(A) & l1_cat_1(A) & v2_cat_1(B) & l1_cat_1(B)) <=> (~((~l1_cat_1(B)) | (~v2_cat_1(A)) | (~l1_cat_1(A)) | (~v2_cat_1(B))))), ((~(v2_cat_1(A) & l1_cat_1(A) & v2_cat_1(B) & l1_cat_1(B))) <=> (~(~((~l1_cat_1(B)) | (~v2_cat_1(A)) | (~l1_cat_1(A)) | (~v2_cat_1(B))))))), rewrite((~(~((~l1_cat_1(B)) | (~v2_cat_1(A)) | (~l1_cat_1(A)) | (~v2_cat_1(B))))) <=> ((~l1_cat_1(B)) | (~v2_cat_1(A)) | (~l1_cat_1(A)) | (~v2_cat_1(B)))), ((~(v2_cat_1(A) & l1_cat_1(A) & v2_cat_1(B) & l1_cat_1(B))) <=> ((~l1_cat_1(B)) | (~v2_cat_1(A)) | (~l1_cat_1(A)) | (~v2_cat_1(B))))), rewrite((v2_cat_1(k11_cat_2(A, B)) & l1_cat_1(k11_cat_2(A, B))) <=> (~((~v2_cat_1(k11_cat_2(A, B))) | (~l1_cat_1(k11_cat_2(A, B)))))), (((~(v2_cat_1(A) & l1_cat_1(A) & v2_cat_1(B) & l1_cat_1(B))) | (v2_cat_1(k11_cat_2(A, B)) & l1_cat_1(k11_cat_2(A, B)))) <=> (((~l1_cat_1(B)) | (~v2_cat_1(A)) | (~l1_cat_1(A)) | (~v2_cat_1(B))) | (~((~v2_cat_1(k11_cat_2(A, B))) | (~l1_cat_1(k11_cat_2(A, B)))))))), rewrite((((~l1_cat_1(B)) | (~v2_cat_1(A)) | (~l1_cat_1(A)) | (~v2_cat_1(B))) | (~((~v2_cat_1(k11_cat_2(A, B))) | (~l1_cat_1(k11_cat_2(A, B)))))) <=> ((~l1_cat_1(B)) | (~v2_cat_1(A)) | (~l1_cat_1(A)) | (~v2_cat_1(B)) | (~((~v2_cat_1(k11_cat_2(A, B))) | (~l1_cat_1(k11_cat_2(A, B))))))), (((~(v2_cat_1(A) & l1_cat_1(A) & v2_cat_1(B) & l1_cat_1(B))) | (v2_cat_1(k11_cat_2(A, B)) & l1_cat_1(k11_cat_2(A, B)))) <=> ((~l1_cat_1(B)) | (~v2_cat_1(A)) | (~l1_cat_1(A)) | (~v2_cat_1(B)) | (~((~v2_cat_1(k11_cat_2(A, B))) | (~l1_cat_1(k11_cat_2(A, B))))))))),
% 18.72/18.92 inference(bind,[status(th)],[])).
% 18.72/18.92 tff(178,plain,
% 18.72/18.92 (![A: $i, B: $i] : ((~(v2_cat_1(A) & l1_cat_1(A) & v2_cat_1(B) & l1_cat_1(B))) | (v2_cat_1(k11_cat_2(A, B)) & l1_cat_1(k11_cat_2(A, B)))) <=> ![A: $i, B: $i] : ((~l1_cat_1(B)) | (~v2_cat_1(A)) | (~l1_cat_1(A)) | (~v2_cat_1(B)) | (~((~v2_cat_1(k11_cat_2(A, B))) | (~l1_cat_1(k11_cat_2(A, B))))))),
% 18.72/18.92 inference(quant_intro,[status(thm)],[177])).
% 18.72/18.92 tff(179,plain,
% 18.72/18.92 (![A: $i, B: $i] : ((~(v2_cat_1(A) & l1_cat_1(A) & v2_cat_1(B) & l1_cat_1(B))) | (v2_cat_1(k11_cat_2(A, B)) & l1_cat_1(k11_cat_2(A, B)))) <=> ![A: $i, B: $i] : ((~(v2_cat_1(A) & l1_cat_1(A) & v2_cat_1(B) & l1_cat_1(B))) | (v2_cat_1(k11_cat_2(A, B)) & l1_cat_1(k11_cat_2(A, B))))),
% 18.72/18.92 inference(rewrite,[status(thm)],[])).
% 18.72/18.92 tff(180,plain,
% 18.72/18.92 (^[A: $i, B: $i] : trans(monotonicity(trans(monotonicity(rewrite(((v2_cat_1(A) & l1_cat_1(A)) & v2_cat_1(B)) <=> (v2_cat_1(A) & l1_cat_1(A) & v2_cat_1(B))), ((((v2_cat_1(A) & l1_cat_1(A)) & v2_cat_1(B)) & l1_cat_1(B)) <=> ((v2_cat_1(A) & l1_cat_1(A) & v2_cat_1(B)) & l1_cat_1(B)))), rewrite(((v2_cat_1(A) & l1_cat_1(A) & v2_cat_1(B)) & l1_cat_1(B)) <=> (v2_cat_1(A) & l1_cat_1(A) & v2_cat_1(B) & l1_cat_1(B))), ((((v2_cat_1(A) & l1_cat_1(A)) & v2_cat_1(B)) & l1_cat_1(B)) <=> (v2_cat_1(A) & l1_cat_1(A) & v2_cat_1(B) & l1_cat_1(B)))), (((((v2_cat_1(A) & l1_cat_1(A)) & v2_cat_1(B)) & l1_cat_1(B)) => (v2_cat_1(k11_cat_2(A, B)) & l1_cat_1(k11_cat_2(A, B)))) <=> ((v2_cat_1(A) & l1_cat_1(A) & v2_cat_1(B) & l1_cat_1(B)) => (v2_cat_1(k11_cat_2(A, B)) & l1_cat_1(k11_cat_2(A, B)))))), rewrite(((v2_cat_1(A) & l1_cat_1(A) & v2_cat_1(B) & l1_cat_1(B)) => (v2_cat_1(k11_cat_2(A, B)) & l1_cat_1(k11_cat_2(A, B)))) <=> ((~(v2_cat_1(A) & l1_cat_1(A) & v2_cat_1(B) & l1_cat_1(B))) | (v2_cat_1(k11_cat_2(A, B)) & l1_cat_1(k11_cat_2(A, B))))), (((((v2_cat_1(A) & l1_cat_1(A)) & v2_cat_1(B)) & l1_cat_1(B)) => (v2_cat_1(k11_cat_2(A, B)) & l1_cat_1(k11_cat_2(A, B)))) <=> ((~(v2_cat_1(A) & l1_cat_1(A) & v2_cat_1(B) & l1_cat_1(B))) | (v2_cat_1(k11_cat_2(A, B)) & l1_cat_1(k11_cat_2(A, B))))))),
% 18.72/18.92 inference(bind,[status(th)],[])).
% 18.72/18.92 tff(181,plain,
% 18.72/18.92 (![A: $i, B: $i] : ((((v2_cat_1(A) & l1_cat_1(A)) & v2_cat_1(B)) & l1_cat_1(B)) => (v2_cat_1(k11_cat_2(A, B)) & l1_cat_1(k11_cat_2(A, B)))) <=> ![A: $i, B: $i] : ((~(v2_cat_1(A) & l1_cat_1(A) & v2_cat_1(B) & l1_cat_1(B))) | (v2_cat_1(k11_cat_2(A, B)) & l1_cat_1(k11_cat_2(A, B))))),
% 18.72/18.92 inference(quant_intro,[status(thm)],[180])).
% 18.72/18.92 tff(182,axiom,(![A: $i, B: $i] : ((((v2_cat_1(A) & l1_cat_1(A)) & v2_cat_1(B)) & l1_cat_1(B)) => (v2_cat_1(k11_cat_2(A, B)) & l1_cat_1(k11_cat_2(A, B))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','dt_k11_cat_2')).
% 18.72/18.92 tff(183,plain,
% 18.72/18.92 (![A: $i, B: $i] : ((~(v2_cat_1(A) & l1_cat_1(A) & v2_cat_1(B) & l1_cat_1(B))) | (v2_cat_1(k11_cat_2(A, B)) & l1_cat_1(k11_cat_2(A, B))))),
% 18.72/18.92 inference(modus_ponens,[status(thm)],[182, 181])).
% 18.72/18.92 tff(184,plain,
% 18.72/18.92 (![A: $i, B: $i] : ((~(v2_cat_1(A) & l1_cat_1(A) & v2_cat_1(B) & l1_cat_1(B))) | (v2_cat_1(k11_cat_2(A, B)) & l1_cat_1(k11_cat_2(A, B))))),
% 18.72/18.92 inference(modus_ponens,[status(thm)],[183, 179])).
% 18.72/18.92 tff(185,plain,(
% 18.72/18.92 ![A: $i, B: $i] : ((~(v2_cat_1(A) & l1_cat_1(A) & v2_cat_1(B) & l1_cat_1(B))) | (v2_cat_1(k11_cat_2(A, B)) & l1_cat_1(k11_cat_2(A, B))))),
% 18.72/18.92 inference(skolemize,[status(sab)],[184])).
% 18.72/18.92 tff(186,plain,
% 18.72/18.92 (![A: $i, B: $i] : ((~l1_cat_1(B)) | (~v2_cat_1(A)) | (~l1_cat_1(A)) | (~v2_cat_1(B)) | (~((~v2_cat_1(k11_cat_2(A, B))) | (~l1_cat_1(k11_cat_2(A, B))))))),
% 18.72/18.92 inference(modus_ponens,[status(thm)],[185, 178])).
% 18.72/18.92 tff(187,plain,
% 18.72/18.92 (![A: $i, B: $i] : ((~l1_cat_1(B)) | (~v2_cat_1(A)) | (~l1_cat_1(A)) | (~v2_cat_1(B)) | (~((~v2_cat_1(k11_cat_2(A, B))) | (~l1_cat_1(k11_cat_2(A, B))))))),
% 18.72/18.92 inference(modus_ponens,[status(thm)],[186, 176])).
% 18.72/18.92 tff(188,plain,
% 18.72/18.92 (((~![A: $i, B: $i] : ((~l1_cat_1(B)) | (~v2_cat_1(A)) | (~l1_cat_1(A)) | (~v2_cat_1(B)) | (~((~v2_cat_1(k11_cat_2(A, B))) | (~l1_cat_1(k11_cat_2(A, B))))))) | ((~l1_cat_1(C!2)) | (~v2_cat_1(B!1)) | (~l1_cat_1(B!1)) | (~v2_cat_1(C!2)) | (~((~v2_cat_1(k11_cat_2(B!1, C!2))) | (~l1_cat_1(k11_cat_2(B!1, C!2))))))) <=> ((~![A: $i, B: $i] : ((~l1_cat_1(B)) | (~v2_cat_1(A)) | (~l1_cat_1(A)) | (~v2_cat_1(B)) | (~((~v2_cat_1(k11_cat_2(A, B))) | (~l1_cat_1(k11_cat_2(A, B))))))) | (~l1_cat_1(C!2)) | (~v2_cat_1(B!1)) | (~l1_cat_1(B!1)) | (~v2_cat_1(C!2)) | (~((~v2_cat_1(k11_cat_2(B!1, C!2))) | (~l1_cat_1(k11_cat_2(B!1, C!2))))))),
% 18.72/18.93 inference(rewrite,[status(thm)],[])).
% 18.72/18.93 tff(189,plain,
% 18.72/18.93 ((~![A: $i, B: $i] : ((~l1_cat_1(B)) | (~v2_cat_1(A)) | (~l1_cat_1(A)) | (~v2_cat_1(B)) | (~((~v2_cat_1(k11_cat_2(A, B))) | (~l1_cat_1(k11_cat_2(A, B))))))) | ((~l1_cat_1(C!2)) | (~v2_cat_1(B!1)) | (~l1_cat_1(B!1)) | (~v2_cat_1(C!2)) | (~((~v2_cat_1(k11_cat_2(B!1, C!2))) | (~l1_cat_1(k11_cat_2(B!1, C!2))))))),
% 18.72/18.93 inference(quant_inst,[status(thm)],[])).
% 18.72/18.93 tff(190,plain,
% 18.72/18.93 ((~![A: $i, B: $i] : ((~l1_cat_1(B)) | (~v2_cat_1(A)) | (~l1_cat_1(A)) | (~v2_cat_1(B)) | (~((~v2_cat_1(k11_cat_2(A, B))) | (~l1_cat_1(k11_cat_2(A, B))))))) | (~l1_cat_1(C!2)) | (~v2_cat_1(B!1)) | (~l1_cat_1(B!1)) | (~v2_cat_1(C!2)) | (~((~v2_cat_1(k11_cat_2(B!1, C!2))) | (~l1_cat_1(k11_cat_2(B!1, C!2)))))),
% 18.72/18.93 inference(modus_ponens,[status(thm)],[189, 188])).
% 18.72/18.93 tff(191,plain,
% 18.72/18.93 (~((~v2_cat_1(k11_cat_2(B!1, C!2))) | (~l1_cat_1(k11_cat_2(B!1, C!2))))),
% 18.72/18.93 inference(unit_resolution,[status(thm)],[190, 51, 50, 57, 56, 187])).
% 18.72/18.93 tff(192,plain,
% 18.72/18.93 (((~v2_cat_1(k11_cat_2(B!1, C!2))) | (~l1_cat_1(k11_cat_2(B!1, C!2)))) | l1_cat_1(k11_cat_2(B!1, C!2))),
% 18.72/18.93 inference(tautology,[status(thm)],[])).
% 18.72/18.93 tff(193,plain,
% 18.72/18.93 (l1_cat_1(k11_cat_2(B!1, C!2))),
% 18.72/18.93 inference(unit_resolution,[status(thm)],[192, 191])).
% 18.72/18.93 tff(194,plain,
% 18.72/18.93 (((~v2_cat_1(k11_cat_2(B!1, C!2))) | (~l1_cat_1(k11_cat_2(B!1, C!2)))) | v2_cat_1(k11_cat_2(B!1, C!2))),
% 18.72/18.93 inference(tautology,[status(thm)],[])).
% 18.72/18.93 tff(195,plain,
% 18.72/18.93 (v2_cat_1(k11_cat_2(B!1, C!2))),
% 18.72/18.93 inference(unit_resolution,[status(thm)],[194, 191])).
% 18.72/18.93 tff(196,plain,
% 18.72/18.93 (^[A: $i, B: $i, C: $i, D: $i, E: $i, F: $i, G: $i] : refl((m2_nattra_1(k8_nattra_1(A, B, C, D, E, F, G), A, B, C, E) | (~v2_cat_1(B)) | (~l1_cat_1(B)) | (~v2_cat_1(A)) | (~l1_cat_1(A)) | (~m2_cat_1(D, A, B)) | (~m2_cat_1(E, A, B)) | (~m2_cat_1(C, A, B)) | (~m2_nattra_1(F, A, B, C, D)) | (~m2_nattra_1(G, A, B, D, E))) <=> (m2_nattra_1(k8_nattra_1(A, B, C, D, E, F, G), A, B, C, E) | (~v2_cat_1(B)) | (~l1_cat_1(B)) | (~v2_cat_1(A)) | (~l1_cat_1(A)) | (~m2_cat_1(D, A, B)) | (~m2_cat_1(E, A, B)) | (~m2_cat_1(C, A, B)) | (~m2_nattra_1(F, A, B, C, D)) | (~m2_nattra_1(G, A, B, D, E))))),
% 18.72/18.93 inference(bind,[status(th)],[])).
% 18.72/18.93 tff(197,plain,
% 18.72/18.93 (![A: $i, B: $i, C: $i, D: $i, E: $i, F: $i, G: $i] : (m2_nattra_1(k8_nattra_1(A, B, C, D, E, F, G), A, B, C, E) | (~v2_cat_1(B)) | (~l1_cat_1(B)) | (~v2_cat_1(A)) | (~l1_cat_1(A)) | (~m2_cat_1(D, A, B)) | (~m2_cat_1(E, A, B)) | (~m2_cat_1(C, A, B)) | (~m2_nattra_1(F, A, B, C, D)) | (~m2_nattra_1(G, A, B, D, E))) <=> ![A: $i, B: $i, C: $i, D: $i, E: $i, F: $i, G: $i] : (m2_nattra_1(k8_nattra_1(A, B, C, D, E, F, G), A, B, C, E) | (~v2_cat_1(B)) | (~l1_cat_1(B)) | (~v2_cat_1(A)) | (~l1_cat_1(A)) | (~m2_cat_1(D, A, B)) | (~m2_cat_1(E, A, B)) | (~m2_cat_1(C, A, B)) | (~m2_nattra_1(F, A, B, C, D)) | (~m2_nattra_1(G, A, B, D, E)))),
% 18.72/18.93 inference(quant_intro,[status(thm)],[196])).
% 18.72/18.93 tff(198,plain,
% 18.72/18.93 (^[A: $i, B: $i, C: $i, D: $i, E: $i, F: $i, G: $i] : trans(monotonicity(trans(monotonicity(rewrite((v2_cat_1(A) & l1_cat_1(A) & v2_cat_1(B) & l1_cat_1(B) & m2_cat_1(C, A, B) & m2_cat_1(D, A, B) & m2_cat_1(E, A, B) & m2_nattra_1(F, A, B, C, D) & m2_nattra_1(G, A, B, D, E)) <=> (~((~v2_cat_1(B)) | (~l1_cat_1(B)) | (~v2_cat_1(A)) | (~l1_cat_1(A)) | (~m2_cat_1(D, A, B)) | (~m2_cat_1(E, A, B)) | (~m2_cat_1(C, A, B)) | (~m2_nattra_1(F, A, B, C, D)) | (~m2_nattra_1(G, A, B, D, E))))), ((~(v2_cat_1(A) & l1_cat_1(A) & v2_cat_1(B) & l1_cat_1(B) & m2_cat_1(C, A, B) & m2_cat_1(D, A, B) & m2_cat_1(E, A, B) & m2_nattra_1(F, A, B, C, D) & m2_nattra_1(G, A, B, D, E))) <=> (~(~((~v2_cat_1(B)) | (~l1_cat_1(B)) | (~v2_cat_1(A)) | (~l1_cat_1(A)) | (~m2_cat_1(D, A, B)) | (~m2_cat_1(E, A, B)) | (~m2_cat_1(C, A, B)) | (~m2_nattra_1(F, A, B, C, D)) | (~m2_nattra_1(G, A, B, D, E))))))), rewrite((~(~((~v2_cat_1(B)) | (~l1_cat_1(B)) | (~v2_cat_1(A)) | (~l1_cat_1(A)) | (~m2_cat_1(D, A, B)) | (~m2_cat_1(E, A, B)) | (~m2_cat_1(C, A, B)) | (~m2_nattra_1(F, A, B, C, D)) | (~m2_nattra_1(G, A, B, D, E))))) <=> ((~v2_cat_1(B)) | (~l1_cat_1(B)) | (~v2_cat_1(A)) | (~l1_cat_1(A)) | (~m2_cat_1(D, A, B)) | (~m2_cat_1(E, A, B)) | (~m2_cat_1(C, A, B)) | (~m2_nattra_1(F, A, B, C, D)) | (~m2_nattra_1(G, A, B, D, E)))), ((~(v2_cat_1(A) & l1_cat_1(A) & v2_cat_1(B) & l1_cat_1(B) & m2_cat_1(C, A, B) & m2_cat_1(D, A, B) & m2_cat_1(E, A, B) & m2_nattra_1(F, A, B, C, D) & m2_nattra_1(G, A, B, D, E))) <=> ((~v2_cat_1(B)) | (~l1_cat_1(B)) | (~v2_cat_1(A)) | (~l1_cat_1(A)) | (~m2_cat_1(D, A, B)) | (~m2_cat_1(E, A, B)) | (~m2_cat_1(C, A, B)) | (~m2_nattra_1(F, A, B, C, D)) | (~m2_nattra_1(G, A, B, D, E))))), (((~(v2_cat_1(A) & l1_cat_1(A) & v2_cat_1(B) & l1_cat_1(B) & m2_cat_1(C, A, B) & m2_cat_1(D, A, B) & m2_cat_1(E, A, B) & m2_nattra_1(F, A, B, C, D) & m2_nattra_1(G, A, B, D, E))) | m2_nattra_1(k8_nattra_1(A, B, C, D, E, F, G), A, B, C, E)) <=> (((~v2_cat_1(B)) | (~l1_cat_1(B)) | (~v2_cat_1(A)) | (~l1_cat_1(A)) | (~m2_cat_1(D, A, B)) | (~m2_cat_1(E, A, B)) | (~m2_cat_1(C, A, B)) | (~m2_nattra_1(F, A, B, C, D)) | (~m2_nattra_1(G, A, B, D, E))) | m2_nattra_1(k8_nattra_1(A, B, C, D, E, F, G), A, B, C, E)))), rewrite((((~v2_cat_1(B)) | (~l1_cat_1(B)) | (~v2_cat_1(A)) | (~l1_cat_1(A)) | (~m2_cat_1(D, A, B)) | (~m2_cat_1(E, A, B)) | (~m2_cat_1(C, A, B)) | (~m2_nattra_1(F, A, B, C, D)) | (~m2_nattra_1(G, A, B, D, E))) | m2_nattra_1(k8_nattra_1(A, B, C, D, E, F, G), A, B, C, E)) <=> (m2_nattra_1(k8_nattra_1(A, B, C, D, E, F, G), A, B, C, E) | (~v2_cat_1(B)) | (~l1_cat_1(B)) | (~v2_cat_1(A)) | (~l1_cat_1(A)) | (~m2_cat_1(D, A, B)) | (~m2_cat_1(E, A, B)) | (~m2_cat_1(C, A, B)) | (~m2_nattra_1(F, A, B, C, D)) | (~m2_nattra_1(G, A, B, D, E)))), (((~(v2_cat_1(A) & l1_cat_1(A) & v2_cat_1(B) & l1_cat_1(B) & m2_cat_1(C, A, B) & m2_cat_1(D, A, B) & m2_cat_1(E, A, B) & m2_nattra_1(F, A, B, C, D) & m2_nattra_1(G, A, B, D, E))) | m2_nattra_1(k8_nattra_1(A, B, C, D, E, F, G), A, B, C, E)) <=> (m2_nattra_1(k8_nattra_1(A, B, C, D, E, F, G), A, B, C, E) | (~v2_cat_1(B)) | (~l1_cat_1(B)) | (~v2_cat_1(A)) | (~l1_cat_1(A)) | (~m2_cat_1(D, A, B)) | (~m2_cat_1(E, A, B)) | (~m2_cat_1(C, A, B)) | (~m2_nattra_1(F, A, B, C, D)) | (~m2_nattra_1(G, A, B, D, E)))))),
% 18.72/18.93 inference(bind,[status(th)],[])).
% 18.72/18.93 tff(199,plain,
% 18.72/18.93 (![A: $i, B: $i, C: $i, D: $i, E: $i, F: $i, G: $i] : ((~(v2_cat_1(A) & l1_cat_1(A) & v2_cat_1(B) & l1_cat_1(B) & m2_cat_1(C, A, B) & m2_cat_1(D, A, B) & m2_cat_1(E, A, B) & m2_nattra_1(F, A, B, C, D) & m2_nattra_1(G, A, B, D, E))) | m2_nattra_1(k8_nattra_1(A, B, C, D, E, F, G), A, B, C, E)) <=> ![A: $i, B: $i, C: $i, D: $i, E: $i, F: $i, G: $i] : (m2_nattra_1(k8_nattra_1(A, B, C, D, E, F, G), A, B, C, E) | (~v2_cat_1(B)) | (~l1_cat_1(B)) | (~v2_cat_1(A)) | (~l1_cat_1(A)) | (~m2_cat_1(D, A, B)) | (~m2_cat_1(E, A, B)) | (~m2_cat_1(C, A, B)) | (~m2_nattra_1(F, A, B, C, D)) | (~m2_nattra_1(G, A, B, D, E)))),
% 18.72/18.93 inference(quant_intro,[status(thm)],[198])).
% 18.72/18.93 tff(200,plain,
% 18.72/18.93 (![A: $i, B: $i, C: $i, D: $i, E: $i, F: $i, G: $i] : ((~(v2_cat_1(A) & l1_cat_1(A) & v2_cat_1(B) & l1_cat_1(B) & m2_cat_1(C, A, B) & m2_cat_1(D, A, B) & m2_cat_1(E, A, B) & m2_nattra_1(F, A, B, C, D) & m2_nattra_1(G, A, B, D, E))) | m2_nattra_1(k8_nattra_1(A, B, C, D, E, F, G), A, B, C, E)) <=> ![A: $i, B: $i, C: $i, D: $i, E: $i, F: $i, G: $i] : ((~(v2_cat_1(A) & l1_cat_1(A) & v2_cat_1(B) & l1_cat_1(B) & m2_cat_1(C, A, B) & m2_cat_1(D, A, B) & m2_cat_1(E, A, B) & m2_nattra_1(F, A, B, C, D) & m2_nattra_1(G, A, B, D, E))) | m2_nattra_1(k8_nattra_1(A, B, C, D, E, F, G), A, B, C, E))),
% 18.72/18.93 inference(rewrite,[status(thm)],[])).
% 18.72/18.93 tff(201,plain,
% 18.72/18.93 (^[A: $i, B: $i, C: $i, D: $i, E: $i, F: $i, G: $i] : trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(rewrite(((v2_cat_1(A) & l1_cat_1(A)) & v2_cat_1(B)) <=> (v2_cat_1(A) & l1_cat_1(A) & v2_cat_1(B))), ((((v2_cat_1(A) & l1_cat_1(A)) & v2_cat_1(B)) & l1_cat_1(B)) <=> ((v2_cat_1(A) & l1_cat_1(A) & v2_cat_1(B)) & l1_cat_1(B)))), rewrite(((v2_cat_1(A) & l1_cat_1(A) & v2_cat_1(B)) & l1_cat_1(B)) <=> (v2_cat_1(A) & l1_cat_1(A) & v2_cat_1(B) & l1_cat_1(B))), ((((v2_cat_1(A) & l1_cat_1(A)) & v2_cat_1(B)) & l1_cat_1(B)) <=> (v2_cat_1(A) & l1_cat_1(A) & v2_cat_1(B) & l1_cat_1(B)))), (((((v2_cat_1(A) & l1_cat_1(A)) & v2_cat_1(B)) & l1_cat_1(B)) & m2_cat_1(C, A, B)) <=> ((v2_cat_1(A) & l1_cat_1(A) & v2_cat_1(B) & l1_cat_1(B)) & m2_cat_1(C, A, B)))), rewrite(((v2_cat_1(A) & l1_cat_1(A) & v2_cat_1(B) & l1_cat_1(B)) & m2_cat_1(C, A, B)) <=> (v2_cat_1(A) & l1_cat_1(A) & v2_cat_1(B) & l1_cat_1(B) & m2_cat_1(C, A, B))), (((((v2_cat_1(A) & l1_cat_1(A)) & v2_cat_1(B)) & l1_cat_1(B)) & m2_cat_1(C, A, B)) <=> (v2_cat_1(A) & l1_cat_1(A) & v2_cat_1(B) & l1_cat_1(B) & m2_cat_1(C, A, B)))), ((((((v2_cat_1(A) & l1_cat_1(A)) & v2_cat_1(B)) & l1_cat_1(B)) & m2_cat_1(C, A, B)) & m2_cat_1(D, A, B)) <=> ((v2_cat_1(A) & l1_cat_1(A) & v2_cat_1(B) & l1_cat_1(B) & m2_cat_1(C, A, B)) & m2_cat_1(D, A, B)))), rewrite(((v2_cat_1(A) & l1_cat_1(A) & v2_cat_1(B) & l1_cat_1(B) & m2_cat_1(C, A, B)) & m2_cat_1(D, A, B)) <=> (v2_cat_1(A) & l1_cat_1(A) & v2_cat_1(B) & l1_cat_1(B) & m2_cat_1(C, A, B) & m2_cat_1(D, A, B))), ((((((v2_cat_1(A) & l1_cat_1(A)) & v2_cat_1(B)) & l1_cat_1(B)) & m2_cat_1(C, A, B)) & m2_cat_1(D, A, B)) <=> (v2_cat_1(A) & l1_cat_1(A) & v2_cat_1(B) & l1_cat_1(B) & m2_cat_1(C, A, B) & m2_cat_1(D, A, B)))), (((((((v2_cat_1(A) & l1_cat_1(A)) & v2_cat_1(B)) & l1_cat_1(B)) & m2_cat_1(C, A, B)) & m2_cat_1(D, A, B)) & m2_cat_1(E, A, B)) <=> ((v2_cat_1(A) & l1_cat_1(A) & v2_cat_1(B) & l1_cat_1(B) & m2_cat_1(C, A, B) & m2_cat_1(D, A, B)) & m2_cat_1(E, A, B)))), rewrite(((v2_cat_1(A) & l1_cat_1(A) & v2_cat_1(B) & l1_cat_1(B) & m2_cat_1(C, A, B) & m2_cat_1(D, A, B)) & m2_cat_1(E, A, B)) <=> (v2_cat_1(A) & l1_cat_1(A) & v2_cat_1(B) & l1_cat_1(B) & m2_cat_1(C, A, B) & m2_cat_1(D, A, B) & m2_cat_1(E, A, B))), (((((((v2_cat_1(A) & l1_cat_1(A)) & v2_cat_1(B)) & l1_cat_1(B)) & m2_cat_1(C, A, B)) & m2_cat_1(D, A, B)) & m2_cat_1(E, A, B)) <=> (v2_cat_1(A) & l1_cat_1(A) & v2_cat_1(B) & l1_cat_1(B) & m2_cat_1(C, A, B) & m2_cat_1(D, A, B) & m2_cat_1(E, A, B)))), ((((((((v2_cat_1(A) & l1_cat_1(A)) & v2_cat_1(B)) & l1_cat_1(B)) & m2_cat_1(C, A, B)) & m2_cat_1(D, A, B)) & m2_cat_1(E, A, B)) & m2_nattra_1(F, A, B, C, D)) <=> ((v2_cat_1(A) & l1_cat_1(A) & v2_cat_1(B) & l1_cat_1(B) & m2_cat_1(C, A, B) & m2_cat_1(D, A, B) & m2_cat_1(E, A, B)) & m2_nattra_1(F, A, B, C, D)))), rewrite(((v2_cat_1(A) & l1_cat_1(A) & v2_cat_1(B) & l1_cat_1(B) & m2_cat_1(C, A, B) & m2_cat_1(D, A, B) & m2_cat_1(E, A, B)) & m2_nattra_1(F, A, B, C, D)) <=> (v2_cat_1(A) & l1_cat_1(A) & v2_cat_1(B) & l1_cat_1(B) & m2_cat_1(C, A, B) & m2_cat_1(D, A, B) & m2_cat_1(E, A, B) & m2_nattra_1(F, A, B, C, D))), ((((((((v2_cat_1(A) & l1_cat_1(A)) & v2_cat_1(B)) & l1_cat_1(B)) & m2_cat_1(C, A, B)) & m2_cat_1(D, A, B)) & m2_cat_1(E, A, B)) & m2_nattra_1(F, A, B, C, D)) <=> (v2_cat_1(A) & l1_cat_1(A) & v2_cat_1(B) & l1_cat_1(B) & m2_cat_1(C, A, B) & m2_cat_1(D, A, B) & m2_cat_1(E, A, B) & m2_nattra_1(F, A, B, C, D)))), (((((((((v2_cat_1(A) & l1_cat_1(A)) & v2_cat_1(B)) & l1_cat_1(B)) & m2_cat_1(C, A, B)) & m2_cat_1(D, A, B)) & m2_cat_1(E, A, B)) & m2_nattra_1(F, A, B, C, D)) & m2_nattra_1(G, A, B, D, E)) <=> ((v2_cat_1(A) & l1_cat_1(A) & v2_cat_1(B) & l1_cat_1(B) & m2_cat_1(C, A, B) & m2_cat_1(D, A, B) & m2_cat_1(E, A, B) & m2_nattra_1(F, A, B, C, D)) & m2_nattra_1(G, A, B, D, E)))), rewrite(((v2_cat_1(A) & l1_cat_1(A) & v2_cat_1(B) & l1_cat_1(B) & m2_cat_1(C, A, B) & m2_cat_1(D, A, B) & m2_cat_1(E, A, B) & m2_nattra_1(F, A, B, C, D)) & m2_nattra_1(G, A, B, D, E)) <=> (v2_cat_1(A) & l1_cat_1(A) & v2_cat_1(B) & l1_cat_1(B) & m2_cat_1(C, A, B) & m2_cat_1(D, A, B) & m2_cat_1(E, A, B) & m2_nattra_1(F, A, B, C, D) & m2_nattra_1(G, A, B, D, E))), (((((((((v2_cat_1(A) & l1_cat_1(A)) & v2_cat_1(B)) & l1_cat_1(B)) & m2_cat_1(C, A, B)) & m2_cat_1(D, A, B)) & m2_cat_1(E, A, B)) & m2_nattra_1(F, A, B, C, D)) & m2_nattra_1(G, A, B, D, E)) <=> (v2_cat_1(A) & l1_cat_1(A) & v2_cat_1(B) & l1_cat_1(B) & m2_cat_1(C, A, B) & m2_cat_1(D, A, B) & m2_cat_1(E, A, B) & m2_nattra_1(F, A, B, C, D) & m2_nattra_1(G, A, B, D, E)))), ((((((((((v2_cat_1(A) & l1_cat_1(A)) & v2_cat_1(B)) & l1_cat_1(B)) & m2_cat_1(C, A, B)) & m2_cat_1(D, A, B)) & m2_cat_1(E, A, B)) & m2_nattra_1(F, A, B, C, D)) & m2_nattra_1(G, A, B, D, E)) => m2_nattra_1(k8_nattra_1(A, B, C, D, E, F, G), A, B, C, E)) <=> ((v2_cat_1(A) & l1_cat_1(A) & v2_cat_1(B) & l1_cat_1(B) & m2_cat_1(C, A, B) & m2_cat_1(D, A, B) & m2_cat_1(E, A, B) & m2_nattra_1(F, A, B, C, D) & m2_nattra_1(G, A, B, D, E)) => m2_nattra_1(k8_nattra_1(A, B, C, D, E, F, G), A, B, C, E)))), rewrite(((v2_cat_1(A) & l1_cat_1(A) & v2_cat_1(B) & l1_cat_1(B) & m2_cat_1(C, A, B) & m2_cat_1(D, A, B) & m2_cat_1(E, A, B) & m2_nattra_1(F, A, B, C, D) & m2_nattra_1(G, A, B, D, E)) => m2_nattra_1(k8_nattra_1(A, B, C, D, E, F, G), A, B, C, E)) <=> ((~(v2_cat_1(A) & l1_cat_1(A) & v2_cat_1(B) & l1_cat_1(B) & m2_cat_1(C, A, B) & m2_cat_1(D, A, B) & m2_cat_1(E, A, B) & m2_nattra_1(F, A, B, C, D) & m2_nattra_1(G, A, B, D, E))) | m2_nattra_1(k8_nattra_1(A, B, C, D, E, F, G), A, B, C, E))), ((((((((((v2_cat_1(A) & l1_cat_1(A)) & v2_cat_1(B)) & l1_cat_1(B)) & m2_cat_1(C, A, B)) & m2_cat_1(D, A, B)) & m2_cat_1(E, A, B)) & m2_nattra_1(F, A, B, C, D)) & m2_nattra_1(G, A, B, D, E)) => m2_nattra_1(k8_nattra_1(A, B, C, D, E, F, G), A, B, C, E)) <=> ((~(v2_cat_1(A) & l1_cat_1(A) & v2_cat_1(B) & l1_cat_1(B) & m2_cat_1(C, A, B) & m2_cat_1(D, A, B) & m2_cat_1(E, A, B) & m2_nattra_1(F, A, B, C, D) & m2_nattra_1(G, A, B, D, E))) | m2_nattra_1(k8_nattra_1(A, B, C, D, E, F, G), A, B, C, E))))),
% 18.72/18.93 inference(bind,[status(th)],[])).
% 18.72/18.93 tff(202,plain,
% 18.72/18.93 (![A: $i, B: $i, C: $i, D: $i, E: $i, F: $i, G: $i] : (((((((((v2_cat_1(A) & l1_cat_1(A)) & v2_cat_1(B)) & l1_cat_1(B)) & m2_cat_1(C, A, B)) & m2_cat_1(D, A, B)) & m2_cat_1(E, A, B)) & m2_nattra_1(F, A, B, C, D)) & m2_nattra_1(G, A, B, D, E)) => m2_nattra_1(k8_nattra_1(A, B, C, D, E, F, G), A, B, C, E)) <=> ![A: $i, B: $i, C: $i, D: $i, E: $i, F: $i, G: $i] : ((~(v2_cat_1(A) & l1_cat_1(A) & v2_cat_1(B) & l1_cat_1(B) & m2_cat_1(C, A, B) & m2_cat_1(D, A, B) & m2_cat_1(E, A, B) & m2_nattra_1(F, A, B, C, D) & m2_nattra_1(G, A, B, D, E))) | m2_nattra_1(k8_nattra_1(A, B, C, D, E, F, G), A, B, C, E))),
% 18.72/18.93 inference(quant_intro,[status(thm)],[201])).
% 18.72/18.93 tff(203,axiom,(![A: $i, B: $i, C: $i, D: $i, E: $i, F: $i, G: $i] : (((((((((v2_cat_1(A) & l1_cat_1(A)) & v2_cat_1(B)) & l1_cat_1(B)) & m2_cat_1(C, A, B)) & m2_cat_1(D, A, B)) & m2_cat_1(E, A, B)) & m2_nattra_1(F, A, B, C, D)) & m2_nattra_1(G, A, B, D, E)) => m2_nattra_1(k8_nattra_1(A, B, C, D, E, F, G), A, B, C, E))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','dt_k8_nattra_1')).
% 18.72/18.93 tff(204,plain,
% 18.72/18.93 (![A: $i, B: $i, C: $i, D: $i, E: $i, F: $i, G: $i] : ((~(v2_cat_1(A) & l1_cat_1(A) & v2_cat_1(B) & l1_cat_1(B) & m2_cat_1(C, A, B) & m2_cat_1(D, A, B) & m2_cat_1(E, A, B) & m2_nattra_1(F, A, B, C, D) & m2_nattra_1(G, A, B, D, E))) | m2_nattra_1(k8_nattra_1(A, B, C, D, E, F, G), A, B, C, E))),
% 18.72/18.93 inference(modus_ponens,[status(thm)],[203, 202])).
% 18.72/18.93 tff(205,plain,
% 18.72/18.93 (![A: $i, B: $i, C: $i, D: $i, E: $i, F: $i, G: $i] : ((~(v2_cat_1(A) & l1_cat_1(A) & v2_cat_1(B) & l1_cat_1(B) & m2_cat_1(C, A, B) & m2_cat_1(D, A, B) & m2_cat_1(E, A, B) & m2_nattra_1(F, A, B, C, D) & m2_nattra_1(G, A, B, D, E))) | m2_nattra_1(k8_nattra_1(A, B, C, D, E, F, G), A, B, C, E))),
% 18.72/18.93 inference(modus_ponens,[status(thm)],[204, 200])).
% 18.72/18.93 tff(206,plain,(
% 18.72/18.93 ![A: $i, B: $i, C: $i, D: $i, E: $i, F: $i, G: $i] : ((~(v2_cat_1(A) & l1_cat_1(A) & v2_cat_1(B) & l1_cat_1(B) & m2_cat_1(C, A, B) & m2_cat_1(D, A, B) & m2_cat_1(E, A, B) & m2_nattra_1(F, A, B, C, D) & m2_nattra_1(G, A, B, D, E))) | m2_nattra_1(k8_nattra_1(A, B, C, D, E, F, G), A, B, C, E))),
% 18.72/18.93 inference(skolemize,[status(sab)],[205])).
% 18.72/18.93 tff(207,plain,
% 18.72/18.93 (![A: $i, B: $i, C: $i, D: $i, E: $i, F: $i, G: $i] : (m2_nattra_1(k8_nattra_1(A, B, C, D, E, F, G), A, B, C, E) | (~v2_cat_1(B)) | (~l1_cat_1(B)) | (~v2_cat_1(A)) | (~l1_cat_1(A)) | (~m2_cat_1(D, A, B)) | (~m2_cat_1(E, A, B)) | (~m2_cat_1(C, A, B)) | (~m2_nattra_1(F, A, B, C, D)) | (~m2_nattra_1(G, A, B, D, E)))),
% 18.72/18.93 inference(modus_ponens,[status(thm)],[206, 199])).
% 18.72/18.93 tff(208,plain,
% 18.72/18.93 (![A: $i, B: $i, C: $i, D: $i, E: $i, F: $i, G: $i] : (m2_nattra_1(k8_nattra_1(A, B, C, D, E, F, G), A, B, C, E) | (~v2_cat_1(B)) | (~l1_cat_1(B)) | (~v2_cat_1(A)) | (~l1_cat_1(A)) | (~m2_cat_1(D, A, B)) | (~m2_cat_1(E, A, B)) | (~m2_cat_1(C, A, B)) | (~m2_nattra_1(F, A, B, C, D)) | (~m2_nattra_1(G, A, B, D, E)))),
% 18.72/18.93 inference(modus_ponens,[status(thm)],[207, 197])).
% 18.72/18.93 tff(209,plain,
% 18.72/18.93 (((~![A: $i, B: $i, C: $i, D: $i, E: $i, F: $i, G: $i] : (m2_nattra_1(k8_nattra_1(A, B, C, D, E, F, G), A, B, C, E) | (~v2_cat_1(B)) | (~l1_cat_1(B)) | (~v2_cat_1(A)) | (~l1_cat_1(A)) | (~m2_cat_1(D, A, B)) | (~m2_cat_1(E, A, B)) | (~m2_cat_1(C, A, B)) | (~m2_nattra_1(F, A, B, C, D)) | (~m2_nattra_1(G, A, B, D, E)))) | ((~m2_cat_1(D!3, A!0, k11_cat_2(B!1, C!2))) | (~m2_cat_1(E!4, A!0, k11_cat_2(B!1, C!2))) | (~m2_cat_1(F!5, A!0, k11_cat_2(B!1, C!2))) | (~m2_nattra_1(G!6, A!0, k11_cat_2(B!1, C!2), D!3, E!4)) | (~m2_nattra_1(H!7, A!0, k11_cat_2(B!1, C!2), E!4, F!5)) | (~v2_cat_1(k11_cat_2(B!1, C!2))) | (~l1_cat_1(k11_cat_2(B!1, C!2))) | (~l1_cat_1(A!0)) | (~v2_cat_1(A!0)) | m2_nattra_1(k8_nattra_1(A!0, k11_cat_2(B!1, C!2), D!3, E!4, F!5, G!6, H!7), A!0, k11_cat_2(B!1, C!2), D!3, F!5))) <=> ((~![A: $i, B: $i, C: $i, D: $i, E: $i, F: $i, G: $i] : (m2_nattra_1(k8_nattra_1(A, B, C, D, E, F, G), A, B, C, E) | (~v2_cat_1(B)) | (~l1_cat_1(B)) | (~v2_cat_1(A)) | (~l1_cat_1(A)) | (~m2_cat_1(D, A, B)) | (~m2_cat_1(E, A, B)) | (~m2_cat_1(C, A, B)) | (~m2_nattra_1(F, A, B, C, D)) | (~m2_nattra_1(G, A, B, D, E)))) | (~m2_cat_1(D!3, A!0, k11_cat_2(B!1, C!2))) | (~m2_cat_1(E!4, A!0, k11_cat_2(B!1, C!2))) | (~m2_cat_1(F!5, A!0, k11_cat_2(B!1, C!2))) | (~m2_nattra_1(G!6, A!0, k11_cat_2(B!1, C!2), D!3, E!4)) | (~m2_nattra_1(H!7, A!0, k11_cat_2(B!1, C!2), E!4, F!5)) | (~v2_cat_1(k11_cat_2(B!1, C!2))) | (~l1_cat_1(k11_cat_2(B!1, C!2))) | (~l1_cat_1(A!0)) | (~v2_cat_1(A!0)) | m2_nattra_1(k8_nattra_1(A!0, k11_cat_2(B!1, C!2), D!3, E!4, F!5, G!6, H!7), A!0, k11_cat_2(B!1, C!2), D!3, F!5))),
% 18.72/18.93 inference(rewrite,[status(thm)],[])).
% 18.72/18.93 tff(210,plain,
% 18.72/18.93 ((m2_nattra_1(k8_nattra_1(A!0, k11_cat_2(B!1, C!2), D!3, E!4, F!5, G!6, H!7), A!0, k11_cat_2(B!1, C!2), D!3, F!5) | (~v2_cat_1(k11_cat_2(B!1, C!2))) | (~l1_cat_1(k11_cat_2(B!1, C!2))) | (~v2_cat_1(A!0)) | (~l1_cat_1(A!0)) | (~m2_cat_1(E!4, A!0, k11_cat_2(B!1, C!2))) | (~m2_cat_1(F!5, A!0, k11_cat_2(B!1, C!2))) | (~m2_cat_1(D!3, A!0, k11_cat_2(B!1, C!2))) | (~m2_nattra_1(G!6, A!0, k11_cat_2(B!1, C!2), D!3, E!4)) | (~m2_nattra_1(H!7, A!0, k11_cat_2(B!1, C!2), E!4, F!5))) <=> ((~m2_cat_1(D!3, A!0, k11_cat_2(B!1, C!2))) | (~m2_cat_1(E!4, A!0, k11_cat_2(B!1, C!2))) | (~m2_cat_1(F!5, A!0, k11_cat_2(B!1, C!2))) | (~m2_nattra_1(G!6, A!0, k11_cat_2(B!1, C!2), D!3, E!4)) | (~m2_nattra_1(H!7, A!0, k11_cat_2(B!1, C!2), E!4, F!5)) | (~v2_cat_1(k11_cat_2(B!1, C!2))) | (~l1_cat_1(k11_cat_2(B!1, C!2))) | (~l1_cat_1(A!0)) | (~v2_cat_1(A!0)) | m2_nattra_1(k8_nattra_1(A!0, k11_cat_2(B!1, C!2), D!3, E!4, F!5, G!6, H!7), A!0, k11_cat_2(B!1, C!2), D!3, F!5))),
% 18.72/18.93 inference(rewrite,[status(thm)],[])).
% 18.72/18.93 tff(211,plain,
% 18.72/18.93 (((~![A: $i, B: $i, C: $i, D: $i, E: $i, F: $i, G: $i] : (m2_nattra_1(k8_nattra_1(A, B, C, D, E, F, G), A, B, C, E) | (~v2_cat_1(B)) | (~l1_cat_1(B)) | (~v2_cat_1(A)) | (~l1_cat_1(A)) | (~m2_cat_1(D, A, B)) | (~m2_cat_1(E, A, B)) | (~m2_cat_1(C, A, B)) | (~m2_nattra_1(F, A, B, C, D)) | (~m2_nattra_1(G, A, B, D, E)))) | (m2_nattra_1(k8_nattra_1(A!0, k11_cat_2(B!1, C!2), D!3, E!4, F!5, G!6, H!7), A!0, k11_cat_2(B!1, C!2), D!3, F!5) | (~v2_cat_1(k11_cat_2(B!1, C!2))) | (~l1_cat_1(k11_cat_2(B!1, C!2))) | (~v2_cat_1(A!0)) | (~l1_cat_1(A!0)) | (~m2_cat_1(E!4, A!0, k11_cat_2(B!1, C!2))) | (~m2_cat_1(F!5, A!0, k11_cat_2(B!1, C!2))) | (~m2_cat_1(D!3, A!0, k11_cat_2(B!1, C!2))) | (~m2_nattra_1(G!6, A!0, k11_cat_2(B!1, C!2), D!3, E!4)) | (~m2_nattra_1(H!7, A!0, k11_cat_2(B!1, C!2), E!4, F!5)))) <=> ((~![A: $i, B: $i, C: $i, D: $i, E: $i, F: $i, G: $i] : (m2_nattra_1(k8_nattra_1(A, B, C, D, E, F, G), A, B, C, E) | (~v2_cat_1(B)) | (~l1_cat_1(B)) | (~v2_cat_1(A)) | (~l1_cat_1(A)) | (~m2_cat_1(D, A, B)) | (~m2_cat_1(E, A, B)) | (~m2_cat_1(C, A, B)) | (~m2_nattra_1(F, A, B, C, D)) | (~m2_nattra_1(G, A, B, D, E)))) | ((~m2_cat_1(D!3, A!0, k11_cat_2(B!1, C!2))) | (~m2_cat_1(E!4, A!0, k11_cat_2(B!1, C!2))) | (~m2_cat_1(F!5, A!0, k11_cat_2(B!1, C!2))) | (~m2_nattra_1(G!6, A!0, k11_cat_2(B!1, C!2), D!3, E!4)) | (~m2_nattra_1(H!7, A!0, k11_cat_2(B!1, C!2), E!4, F!5)) | (~v2_cat_1(k11_cat_2(B!1, C!2))) | (~l1_cat_1(k11_cat_2(B!1, C!2))) | (~l1_cat_1(A!0)) | (~v2_cat_1(A!0)) | m2_nattra_1(k8_nattra_1(A!0, k11_cat_2(B!1, C!2), D!3, E!4, F!5, G!6, H!7), A!0, k11_cat_2(B!1, C!2), D!3, F!5)))),
% 18.72/18.93 inference(monotonicity,[status(thm)],[210])).
% 18.72/18.93 tff(212,plain,
% 18.72/18.93 (((~![A: $i, B: $i, C: $i, D: $i, E: $i, F: $i, G: $i] : (m2_nattra_1(k8_nattra_1(A, B, C, D, E, F, G), A, B, C, E) | (~v2_cat_1(B)) | (~l1_cat_1(B)) | (~v2_cat_1(A)) | (~l1_cat_1(A)) | (~m2_cat_1(D, A, B)) | (~m2_cat_1(E, A, B)) | (~m2_cat_1(C, A, B)) | (~m2_nattra_1(F, A, B, C, D)) | (~m2_nattra_1(G, A, B, D, E)))) | (m2_nattra_1(k8_nattra_1(A!0, k11_cat_2(B!1, C!2), D!3, E!4, F!5, G!6, H!7), A!0, k11_cat_2(B!1, C!2), D!3, F!5) | (~v2_cat_1(k11_cat_2(B!1, C!2))) | (~l1_cat_1(k11_cat_2(B!1, C!2))) | (~v2_cat_1(A!0)) | (~l1_cat_1(A!0)) | (~m2_cat_1(E!4, A!0, k11_cat_2(B!1, C!2))) | (~m2_cat_1(F!5, A!0, k11_cat_2(B!1, C!2))) | (~m2_cat_1(D!3, A!0, k11_cat_2(B!1, C!2))) | (~m2_nattra_1(G!6, A!0, k11_cat_2(B!1, C!2), D!3, E!4)) | (~m2_nattra_1(H!7, A!0, k11_cat_2(B!1, C!2), E!4, F!5)))) <=> ((~![A: $i, B: $i, C: $i, D: $i, E: $i, F: $i, G: $i] : (m2_nattra_1(k8_nattra_1(A, B, C, D, E, F, G), A, B, C, E) | (~v2_cat_1(B)) | (~l1_cat_1(B)) | (~v2_cat_1(A)) | (~l1_cat_1(A)) | (~m2_cat_1(D, A, B)) | (~m2_cat_1(E, A, B)) | (~m2_cat_1(C, A, B)) | (~m2_nattra_1(F, A, B, C, D)) | (~m2_nattra_1(G, A, B, D, E)))) | (~m2_cat_1(D!3, A!0, k11_cat_2(B!1, C!2))) | (~m2_cat_1(E!4, A!0, k11_cat_2(B!1, C!2))) | (~m2_cat_1(F!5, A!0, k11_cat_2(B!1, C!2))) | (~m2_nattra_1(G!6, A!0, k11_cat_2(B!1, C!2), D!3, E!4)) | (~m2_nattra_1(H!7, A!0, k11_cat_2(B!1, C!2), E!4, F!5)) | (~v2_cat_1(k11_cat_2(B!1, C!2))) | (~l1_cat_1(k11_cat_2(B!1, C!2))) | (~l1_cat_1(A!0)) | (~v2_cat_1(A!0)) | m2_nattra_1(k8_nattra_1(A!0, k11_cat_2(B!1, C!2), D!3, E!4, F!5, G!6, H!7), A!0, k11_cat_2(B!1, C!2), D!3, F!5))),
% 18.72/18.93 inference(transitivity,[status(thm)],[211, 209])).
% 18.72/18.93 tff(213,plain,
% 18.72/18.93 ((~![A: $i, B: $i, C: $i, D: $i, E: $i, F: $i, G: $i] : (m2_nattra_1(k8_nattra_1(A, B, C, D, E, F, G), A, B, C, E) | (~v2_cat_1(B)) | (~l1_cat_1(B)) | (~v2_cat_1(A)) | (~l1_cat_1(A)) | (~m2_cat_1(D, A, B)) | (~m2_cat_1(E, A, B)) | (~m2_cat_1(C, A, B)) | (~m2_nattra_1(F, A, B, C, D)) | (~m2_nattra_1(G, A, B, D, E)))) | (m2_nattra_1(k8_nattra_1(A!0, k11_cat_2(B!1, C!2), D!3, E!4, F!5, G!6, H!7), A!0, k11_cat_2(B!1, C!2), D!3, F!5) | (~v2_cat_1(k11_cat_2(B!1, C!2))) | (~l1_cat_1(k11_cat_2(B!1, C!2))) | (~v2_cat_1(A!0)) | (~l1_cat_1(A!0)) | (~m2_cat_1(E!4, A!0, k11_cat_2(B!1, C!2))) | (~m2_cat_1(F!5, A!0, k11_cat_2(B!1, C!2))) | (~m2_cat_1(D!3, A!0, k11_cat_2(B!1, C!2))) | (~m2_nattra_1(G!6, A!0, k11_cat_2(B!1, C!2), D!3, E!4)) | (~m2_nattra_1(H!7, A!0, k11_cat_2(B!1, C!2), E!4, F!5)))),
% 18.72/18.93 inference(quant_inst,[status(thm)],[])).
% 18.72/18.93 tff(214,plain,
% 18.72/18.93 ((~![A: $i, B: $i, C: $i, D: $i, E: $i, F: $i, G: $i] : (m2_nattra_1(k8_nattra_1(A, B, C, D, E, F, G), A, B, C, E) | (~v2_cat_1(B)) | (~l1_cat_1(B)) | (~v2_cat_1(A)) | (~l1_cat_1(A)) | (~m2_cat_1(D, A, B)) | (~m2_cat_1(E, A, B)) | (~m2_cat_1(C, A, B)) | (~m2_nattra_1(F, A, B, C, D)) | (~m2_nattra_1(G, A, B, D, E)))) | (~m2_cat_1(D!3, A!0, k11_cat_2(B!1, C!2))) | (~m2_cat_1(E!4, A!0, k11_cat_2(B!1, C!2))) | (~m2_cat_1(F!5, A!0, k11_cat_2(B!1, C!2))) | (~m2_nattra_1(G!6, A!0, k11_cat_2(B!1, C!2), D!3, E!4)) | (~m2_nattra_1(H!7, A!0, k11_cat_2(B!1, C!2), E!4, F!5)) | (~v2_cat_1(k11_cat_2(B!1, C!2))) | (~l1_cat_1(k11_cat_2(B!1, C!2))) | (~l1_cat_1(A!0)) | (~v2_cat_1(A!0)) | m2_nattra_1(k8_nattra_1(A!0, k11_cat_2(B!1, C!2), D!3, E!4, F!5, G!6, H!7), A!0, k11_cat_2(B!1, C!2), D!3, F!5)),
% 18.72/18.93 inference(modus_ponens,[status(thm)],[213, 212])).
% 18.72/18.93 tff(215,plain,
% 18.72/18.93 (m2_nattra_1(k8_nattra_1(A!0, k11_cat_2(B!1, C!2), D!3, E!4, F!5, G!6, H!7), A!0, k11_cat_2(B!1, C!2), D!3, F!5)),
% 18.72/18.93 inference(unit_resolution,[status(thm)],[214, 45, 44, 102, 62, 111, 73, 67, 208, 195, 193])).
% 18.72/18.93 tff(216,plain,
% 18.72/18.93 (((~![E: $i] : ((~m2_cat_1(E, A!0, k11_cat_2(B!1, C!2))) | ![F: $i] : ((~m2_nattra_1(F, A!0, k11_cat_2(B!1, C!2), D!3, E)) | (k13_isocat_2(A!0, B!1, C!2, D!3, E, F) = k6_isocat_1(A!0, k11_cat_2(B!1, C!2), B!1, D!3, E, F, k8_isocat_2(B!1, C!2)))))) | ((~m2_cat_1(F!5, A!0, k11_cat_2(B!1, C!2))) | ![F: $i] : ((~m2_nattra_1(F, A!0, k11_cat_2(B!1, C!2), D!3, F!5)) | (k13_isocat_2(A!0, B!1, C!2, D!3, F!5, F) = k6_isocat_1(A!0, k11_cat_2(B!1, C!2), B!1, D!3, F!5, F, k8_isocat_2(B!1, C!2)))))) <=> ((~![E: $i] : ((~m2_cat_1(E, A!0, k11_cat_2(B!1, C!2))) | ![F: $i] : ((~m2_nattra_1(F, A!0, k11_cat_2(B!1, C!2), D!3, E)) | (k13_isocat_2(A!0, B!1, C!2, D!3, E, F) = k6_isocat_1(A!0, k11_cat_2(B!1, C!2), B!1, D!3, E, F, k8_isocat_2(B!1, C!2)))))) | (~m2_cat_1(F!5, A!0, k11_cat_2(B!1, C!2))) | ![F: $i] : ((~m2_nattra_1(F, A!0, k11_cat_2(B!1, C!2), D!3, F!5)) | (k13_isocat_2(A!0, B!1, C!2, D!3, F!5, F) = k6_isocat_1(A!0, k11_cat_2(B!1, C!2), B!1, D!3, F!5, F, k8_isocat_2(B!1, C!2)))))),
% 18.72/18.93 inference(rewrite,[status(thm)],[])).
% 18.72/18.93 tff(217,plain,
% 18.72/18.93 ((~![E: $i] : ((~m2_cat_1(E, A!0, k11_cat_2(B!1, C!2))) | ![F: $i] : ((~m2_nattra_1(F, A!0, k11_cat_2(B!1, C!2), D!3, E)) | (k13_isocat_2(A!0, B!1, C!2, D!3, E, F) = k6_isocat_1(A!0, k11_cat_2(B!1, C!2), B!1, D!3, E, F, k8_isocat_2(B!1, C!2)))))) | ((~m2_cat_1(F!5, A!0, k11_cat_2(B!1, C!2))) | ![F: $i] : ((~m2_nattra_1(F, A!0, k11_cat_2(B!1, C!2), D!3, F!5)) | (k13_isocat_2(A!0, B!1, C!2, D!3, F!5, F) = k6_isocat_1(A!0, k11_cat_2(B!1, C!2), B!1, D!3, F!5, F, k8_isocat_2(B!1, C!2)))))),
% 18.72/18.93 inference(quant_inst,[status(thm)],[])).
% 18.72/18.93 tff(218,plain,
% 18.72/18.93 ((~![E: $i] : ((~m2_cat_1(E, A!0, k11_cat_2(B!1, C!2))) | ![F: $i] : ((~m2_nattra_1(F, A!0, k11_cat_2(B!1, C!2), D!3, E)) | (k13_isocat_2(A!0, B!1, C!2, D!3, E, F) = k6_isocat_1(A!0, k11_cat_2(B!1, C!2), B!1, D!3, E, F, k8_isocat_2(B!1, C!2)))))) | (~m2_cat_1(F!5, A!0, k11_cat_2(B!1, C!2))) | ![F: $i] : ((~m2_nattra_1(F, A!0, k11_cat_2(B!1, C!2), D!3, F!5)) | (k13_isocat_2(A!0, B!1, C!2, D!3, F!5, F) = k6_isocat_1(A!0, k11_cat_2(B!1, C!2), B!1, D!3, F!5, F, k8_isocat_2(B!1, C!2))))),
% 18.72/18.93 inference(modus_ponens,[status(thm)],[217, 216])).
% 18.72/18.93 tff(219,plain,
% 18.72/18.93 (![F: $i] : ((~m2_nattra_1(F, A!0, k11_cat_2(B!1, C!2), D!3, F!5)) | (k13_isocat_2(A!0, B!1, C!2, D!3, F!5, F) = k6_isocat_1(A!0, k11_cat_2(B!1, C!2), B!1, D!3, F!5, F, k8_isocat_2(B!1, C!2))))),
% 18.72/18.93 inference(unit_resolution,[status(thm)],[218, 67, 106])).
% 18.72/18.93 tff(220,plain,
% 18.72/18.93 (((~![F: $i] : ((~m2_nattra_1(F, A!0, k11_cat_2(B!1, C!2), D!3, F!5)) | (k13_isocat_2(A!0, B!1, C!2, D!3, F!5, F) = k6_isocat_1(A!0, k11_cat_2(B!1, C!2), B!1, D!3, F!5, F, k8_isocat_2(B!1, C!2))))) | ((~m2_nattra_1(k8_nattra_1(A!0, k11_cat_2(B!1, C!2), D!3, E!4, F!5, G!6, H!7), A!0, k11_cat_2(B!1, C!2), D!3, F!5)) | (k13_isocat_2(A!0, B!1, C!2, D!3, F!5, k8_nattra_1(A!0, k11_cat_2(B!1, C!2), D!3, E!4, F!5, G!6, H!7)) = k6_isocat_1(A!0, k11_cat_2(B!1, C!2), B!1, D!3, F!5, k8_nattra_1(A!0, k11_cat_2(B!1, C!2), D!3, E!4, F!5, G!6, H!7), k8_isocat_2(B!1, C!2))))) <=> ((~![F: $i] : ((~m2_nattra_1(F, A!0, k11_cat_2(B!1, C!2), D!3, F!5)) | (k13_isocat_2(A!0, B!1, C!2, D!3, F!5, F) = k6_isocat_1(A!0, k11_cat_2(B!1, C!2), B!1, D!3, F!5, F, k8_isocat_2(B!1, C!2))))) | (~m2_nattra_1(k8_nattra_1(A!0, k11_cat_2(B!1, C!2), D!3, E!4, F!5, G!6, H!7), A!0, k11_cat_2(B!1, C!2), D!3, F!5)) | (k13_isocat_2(A!0, B!1, C!2, D!3, F!5, k8_nattra_1(A!0, k11_cat_2(B!1, C!2), D!3, E!4, F!5, G!6, H!7)) = k6_isocat_1(A!0, k11_cat_2(B!1, C!2), B!1, D!3, F!5, k8_nattra_1(A!0, k11_cat_2(B!1, C!2), D!3, E!4, F!5, G!6, H!7), k8_isocat_2(B!1, C!2))))),
% 18.72/18.93 inference(rewrite,[status(thm)],[])).
% 18.72/18.93 tff(221,plain,
% 18.72/18.93 ((~![F: $i] : ((~m2_nattra_1(F, A!0, k11_cat_2(B!1, C!2), D!3, F!5)) | (k13_isocat_2(A!0, B!1, C!2, D!3, F!5, F) = k6_isocat_1(A!0, k11_cat_2(B!1, C!2), B!1, D!3, F!5, F, k8_isocat_2(B!1, C!2))))) | ((~m2_nattra_1(k8_nattra_1(A!0, k11_cat_2(B!1, C!2), D!3, E!4, F!5, G!6, H!7), A!0, k11_cat_2(B!1, C!2), D!3, F!5)) | (k13_isocat_2(A!0, B!1, C!2, D!3, F!5, k8_nattra_1(A!0, k11_cat_2(B!1, C!2), D!3, E!4, F!5, G!6, H!7)) = k6_isocat_1(A!0, k11_cat_2(B!1, C!2), B!1, D!3, F!5, k8_nattra_1(A!0, k11_cat_2(B!1, C!2), D!3, E!4, F!5, G!6, H!7), k8_isocat_2(B!1, C!2))))),
% 18.72/18.94 inference(quant_inst,[status(thm)],[])).
% 18.72/18.94 tff(222,plain,
% 18.72/18.94 ((~![F: $i] : ((~m2_nattra_1(F, A!0, k11_cat_2(B!1, C!2), D!3, F!5)) | (k13_isocat_2(A!0, B!1, C!2, D!3, F!5, F) = k6_isocat_1(A!0, k11_cat_2(B!1, C!2), B!1, D!3, F!5, F, k8_isocat_2(B!1, C!2))))) | (~m2_nattra_1(k8_nattra_1(A!0, k11_cat_2(B!1, C!2), D!3, E!4, F!5, G!6, H!7), A!0, k11_cat_2(B!1, C!2), D!3, F!5)) | (k13_isocat_2(A!0, B!1, C!2, D!3, F!5, k8_nattra_1(A!0, k11_cat_2(B!1, C!2), D!3, E!4, F!5, G!6, H!7)) = k6_isocat_1(A!0, k11_cat_2(B!1, C!2), B!1, D!3, F!5, k8_nattra_1(A!0, k11_cat_2(B!1, C!2), D!3, E!4, F!5, G!6, H!7), k8_isocat_2(B!1, C!2)))),
% 18.72/18.94 inference(modus_ponens,[status(thm)],[221, 220])).
% 18.72/18.94 tff(223,plain,
% 18.72/18.94 (k13_isocat_2(A!0, B!1, C!2, D!3, F!5, k8_nattra_1(A!0, k11_cat_2(B!1, C!2), D!3, E!4, F!5, G!6, H!7)) = k6_isocat_1(A!0, k11_cat_2(B!1, C!2), B!1, D!3, F!5, k8_nattra_1(A!0, k11_cat_2(B!1, C!2), D!3, E!4, F!5, G!6, H!7), k8_isocat_2(B!1, C!2))),
% 18.72/18.94 inference(unit_resolution,[status(thm)],[222, 219, 215])).
% 18.72/18.94 tff(224,plain,
% 18.72/18.94 (k13_isocat_2(A!0, B!1, C!2, D!3, F!5, k8_nattra_1(A!0, k11_cat_2(B!1, C!2), D!3, E!4, F!5, G!6, H!7)) = k6_isocat_1(A!0, k11_cat_2(B!1, C!2), B!1, D!3, F!5, k8_nattra_1(A!0, k11_cat_2(B!1, C!2), D!3, E!4, F!5, G!6, H!7), k16_cat_2(B!1, C!2))),
% 18.72/18.94 inference(transitivity,[status(thm)],[223, 174])).
% 18.72/18.94 tff(225,plain,
% 18.72/18.94 (r4_nattra_1(u1_cat_1(A!0), u2_cat_1(B!1), u1_cat_1(A!0), u2_cat_1(B!1), k13_isocat_2(A!0, B!1, C!2, D!3, F!5, k8_nattra_1(A!0, k11_cat_2(B!1, C!2), D!3, E!4, F!5, G!6, H!7)), k8_nattra_1(A!0, B!1, k11_isocat_2(A!0, B!1, C!2, D!3), k11_isocat_2(A!0, B!1, C!2, E!4), k11_isocat_2(A!0, B!1, C!2, F!5), k13_isocat_2(A!0, B!1, C!2, D!3, E!4, G!6), k13_isocat_2(A!0, B!1, C!2, E!4, F!5, H!7))) <=> r4_nattra_1(u1_cat_1(A!0), u2_cat_1(B!1), u1_cat_1(A!0), u2_cat_1(B!1), k6_isocat_1(A!0, k11_cat_2(B!1, C!2), B!1, D!3, F!5, k8_nattra_1(A!0, k11_cat_2(B!1, C!2), D!3, E!4, F!5, G!6, H!7), k16_cat_2(B!1, C!2)), k8_nattra_1(A!0, B!1, k2_isocat_1(A!0, k11_cat_2(B!1, C!2), B!1, D!3, k16_cat_2(B!1, C!2)), k2_isocat_1(A!0, k11_cat_2(B!1, C!2), B!1, E!4, k16_cat_2(B!1, C!2)), k2_isocat_1(A!0, k11_cat_2(B!1, C!2), B!1, F!5, k16_cat_2(B!1, C!2)), k6_isocat_1(A!0, k11_cat_2(B!1, C!2), B!1, D!3, E!4, G!6, k16_cat_2(B!1, C!2)), k6_isocat_1(A!0, k11_cat_2(B!1, C!2), B!1, E!4, F!5, H!7, k16_cat_2(B!1, C!2))))),
% 18.72/18.94 inference(monotonicity,[status(thm)],[224, 172])).
% 18.72/18.94 tff(226,plain,
% 18.72/18.94 (r4_nattra_1(u1_cat_1(A!0), u2_cat_1(B!1), u1_cat_1(A!0), u2_cat_1(B!1), k6_isocat_1(A!0, k11_cat_2(B!1, C!2), B!1, D!3, F!5, k8_nattra_1(A!0, k11_cat_2(B!1, C!2), D!3, E!4, F!5, G!6, H!7), k16_cat_2(B!1, C!2)), k8_nattra_1(A!0, B!1, k2_isocat_1(A!0, k11_cat_2(B!1, C!2), B!1, D!3, k16_cat_2(B!1, C!2)), k2_isocat_1(A!0, k11_cat_2(B!1, C!2), B!1, E!4, k16_cat_2(B!1, C!2)), k2_isocat_1(A!0, k11_cat_2(B!1, C!2), B!1, F!5, k16_cat_2(B!1, C!2)), k6_isocat_1(A!0, k11_cat_2(B!1, C!2), B!1, D!3, E!4, G!6, k16_cat_2(B!1, C!2)), k6_isocat_1(A!0, k11_cat_2(B!1, C!2), B!1, E!4, F!5, H!7, k16_cat_2(B!1, C!2)))) <=> r4_nattra_1(u1_cat_1(A!0), u2_cat_1(B!1), u1_cat_1(A!0), u2_cat_1(B!1), k13_isocat_2(A!0, B!1, C!2, D!3, F!5, k8_nattra_1(A!0, k11_cat_2(B!1, C!2), D!3, E!4, F!5, G!6, H!7)), k8_nattra_1(A!0, B!1, k11_isocat_2(A!0, B!1, C!2, D!3), k11_isocat_2(A!0, B!1, C!2, E!4), k11_isocat_2(A!0, B!1, C!2, F!5), k13_isocat_2(A!0, B!1, C!2, D!3, E!4, G!6), k13_isocat_2(A!0, B!1, C!2, E!4, F!5, H!7)))),
% 18.72/18.94 inference(symmetry,[status(thm)],[225])).
% 18.72/18.94 tff(227,plain,
% 18.72/18.94 (^[A: $i] : refl(((~l1_cat_1(A)) | (~v2_cat_1(A)) | ![B: $i] : ((~l1_cat_1(B)) | (~v2_cat_1(B)) | ![C: $i] : ((~l1_cat_1(C)) | (~v2_cat_1(C)) | ![D: $i] : ((~m2_cat_1(D, B, C)) | ![E: $i] : ((~m2_cat_1(E, B, C)) | ![F: $i] : ((~m2_cat_1(F, B, C)) | ![G: $i] : ((~m2_cat_1(G, C, A)) | ![H: $i] : ((~m2_nattra_1(H, B, C, D, E)) | ![I: $i] : (r4_nattra_1(u1_cat_1(B), u2_cat_1(A), u1_cat_1(B), u2_cat_1(A), k6_isocat_1(B, C, A, D, F, k8_nattra_1(B, C, D, E, F, H, I), G), k8_nattra_1(B, A, k2_isocat_1(B, C, A, D, G), k2_isocat_1(B, C, A, E, G), k2_isocat_1(B, C, A, F, G), k6_isocat_1(B, C, A, D, E, H, G), k6_isocat_1(B, C, A, E, F, I, G))) | (~m2_nattra_1(I, B, C, E, F)) | (~r2_nattra_1(B, C, D, E)) | (~r2_nattra_1(B, C, E, F))))))))))) <=> ((~l1_cat_1(A)) | (~v2_cat_1(A)) | ![B: $i] : ((~l1_cat_1(B)) | (~v2_cat_1(B)) | ![C: $i] : ((~l1_cat_1(C)) | (~v2_cat_1(C)) | ![D: $i] : ((~m2_cat_1(D, B, C)) | ![E: $i] : ((~m2_cat_1(E, B, C)) | ![F: $i] : ((~m2_cat_1(F, B, C)) | ![G: $i] : ((~m2_cat_1(G, C, A)) | ![H: $i] : ((~m2_nattra_1(H, B, C, D, E)) | ![I: $i] : (r4_nattra_1(u1_cat_1(B), u2_cat_1(A), u1_cat_1(B), u2_cat_1(A), k6_isocat_1(B, C, A, D, F, k8_nattra_1(B, C, D, E, F, H, I), G), k8_nattra_1(B, A, k2_isocat_1(B, C, A, D, G), k2_isocat_1(B, C, A, E, G), k2_isocat_1(B, C, A, F, G), k6_isocat_1(B, C, A, D, E, H, G), k6_isocat_1(B, C, A, E, F, I, G))) | (~m2_nattra_1(I, B, C, E, F)) | (~r2_nattra_1(B, C, D, E)) | (~r2_nattra_1(B, C, E, F))))))))))))),
% 18.72/18.94 inference(bind,[status(th)],[])).
% 18.72/18.94 tff(228,plain,
% 18.72/18.94 (![A: $i] : ((~l1_cat_1(A)) | (~v2_cat_1(A)) | ![B: $i] : ((~l1_cat_1(B)) | (~v2_cat_1(B)) | ![C: $i] : ((~l1_cat_1(C)) | (~v2_cat_1(C)) | ![D: $i] : ((~m2_cat_1(D, B, C)) | ![E: $i] : ((~m2_cat_1(E, B, C)) | ![F: $i] : ((~m2_cat_1(F, B, C)) | ![G: $i] : ((~m2_cat_1(G, C, A)) | ![H: $i] : ((~m2_nattra_1(H, B, C, D, E)) | ![I: $i] : (r4_nattra_1(u1_cat_1(B), u2_cat_1(A), u1_cat_1(B), u2_cat_1(A), k6_isocat_1(B, C, A, D, F, k8_nattra_1(B, C, D, E, F, H, I), G), k8_nattra_1(B, A, k2_isocat_1(B, C, A, D, G), k2_isocat_1(B, C, A, E, G), k2_isocat_1(B, C, A, F, G), k6_isocat_1(B, C, A, D, E, H, G), k6_isocat_1(B, C, A, E, F, I, G))) | (~m2_nattra_1(I, B, C, E, F)) | (~r2_nattra_1(B, C, D, E)) | (~r2_nattra_1(B, C, E, F))))))))))) <=> ![A: $i] : ((~l1_cat_1(A)) | (~v2_cat_1(A)) | ![B: $i] : ((~l1_cat_1(B)) | (~v2_cat_1(B)) | ![C: $i] : ((~l1_cat_1(C)) | (~v2_cat_1(C)) | ![D: $i] : ((~m2_cat_1(D, B, C)) | ![E: $i] : ((~m2_cat_1(E, B, C)) | ![F: $i] : ((~m2_cat_1(F, B, C)) | ![G: $i] : ((~m2_cat_1(G, C, A)) | ![H: $i] : ((~m2_nattra_1(H, B, C, D, E)) | ![I: $i] : (r4_nattra_1(u1_cat_1(B), u2_cat_1(A), u1_cat_1(B), u2_cat_1(A), k6_isocat_1(B, C, A, D, F, k8_nattra_1(B, C, D, E, F, H, I), G), k8_nattra_1(B, A, k2_isocat_1(B, C, A, D, G), k2_isocat_1(B, C, A, E, G), k2_isocat_1(B, C, A, F, G), k6_isocat_1(B, C, A, D, E, H, G), k6_isocat_1(B, C, A, E, F, I, G))) | (~m2_nattra_1(I, B, C, E, F)) | (~r2_nattra_1(B, C, D, E)) | (~r2_nattra_1(B, C, E, F)))))))))))),
% 18.72/18.94 inference(quant_intro,[status(thm)],[227])).
% 18.72/18.94 tff(229,plain,
% 18.72/18.94 (^[A: $i] : rewrite(((~l1_cat_1(A)) | (~v2_cat_1(A)) | ![B: $i] : ((~l1_cat_1(B)) | (~v2_cat_1(B)) | ![C: $i] : ((~l1_cat_1(C)) | (~v2_cat_1(C)) | ![D: $i] : ((~m2_cat_1(D, B, C)) | ![E: $i] : ((~m2_cat_1(E, B, C)) | ![F: $i] : ((~m2_cat_1(F, B, C)) | ![G: $i] : ((~m2_cat_1(G, C, A)) | ![H: $i] : ((~m2_nattra_1(H, B, C, D, E)) | ![I: $i] : (r4_nattra_1(u1_cat_1(B), u2_cat_1(A), u1_cat_1(B), u2_cat_1(A), k6_isocat_1(B, C, A, D, F, k8_nattra_1(B, C, D, E, F, H, I), G), k8_nattra_1(B, A, k2_isocat_1(B, C, A, D, G), k2_isocat_1(B, C, A, E, G), k2_isocat_1(B, C, A, F, G), k6_isocat_1(B, C, A, D, E, H, G), k6_isocat_1(B, C, A, E, F, I, G))) | (~m2_nattra_1(I, B, C, E, F)) | (~r2_nattra_1(B, C, D, E)) | (~r2_nattra_1(B, C, E, F))))))))))) <=> ((~l1_cat_1(A)) | (~v2_cat_1(A)) | ![B: $i] : ((~l1_cat_1(B)) | (~v2_cat_1(B)) | ![C: $i] : ((~l1_cat_1(C)) | (~v2_cat_1(C)) | ![D: $i] : ((~m2_cat_1(D, B, C)) | ![E: $i] : ((~m2_cat_1(E, B, C)) | ![F: $i] : ((~m2_cat_1(F, B, C)) | ![G: $i] : ((~m2_cat_1(G, C, A)) | ![H: $i] : ((~m2_nattra_1(H, B, C, D, E)) | ![I: $i] : (r4_nattra_1(u1_cat_1(B), u2_cat_1(A), u1_cat_1(B), u2_cat_1(A), k6_isocat_1(B, C, A, D, F, k8_nattra_1(B, C, D, E, F, H, I), G), k8_nattra_1(B, A, k2_isocat_1(B, C, A, D, G), k2_isocat_1(B, C, A, E, G), k2_isocat_1(B, C, A, F, G), k6_isocat_1(B, C, A, D, E, H, G), k6_isocat_1(B, C, A, E, F, I, G))) | (~m2_nattra_1(I, B, C, E, F)) | (~r2_nattra_1(B, C, D, E)) | (~r2_nattra_1(B, C, E, F))))))))))))),
% 18.72/18.94 inference(bind,[status(th)],[])).
% 18.72/18.94 tff(230,plain,
% 18.72/18.94 (![A: $i] : ((~l1_cat_1(A)) | (~v2_cat_1(A)) | ![B: $i] : ((~l1_cat_1(B)) | (~v2_cat_1(B)) | ![C: $i] : ((~l1_cat_1(C)) | (~v2_cat_1(C)) | ![D: $i] : ((~m2_cat_1(D, B, C)) | ![E: $i] : ((~m2_cat_1(E, B, C)) | ![F: $i] : ((~m2_cat_1(F, B, C)) | ![G: $i] : ((~m2_cat_1(G, C, A)) | ![H: $i] : ((~m2_nattra_1(H, B, C, D, E)) | ![I: $i] : (r4_nattra_1(u1_cat_1(B), u2_cat_1(A), u1_cat_1(B), u2_cat_1(A), k6_isocat_1(B, C, A, D, F, k8_nattra_1(B, C, D, E, F, H, I), G), k8_nattra_1(B, A, k2_isocat_1(B, C, A, D, G), k2_isocat_1(B, C, A, E, G), k2_isocat_1(B, C, A, F, G), k6_isocat_1(B, C, A, D, E, H, G), k6_isocat_1(B, C, A, E, F, I, G))) | (~m2_nattra_1(I, B, C, E, F)) | (~r2_nattra_1(B, C, D, E)) | (~r2_nattra_1(B, C, E, F))))))))))) <=> ![A: $i] : ((~l1_cat_1(A)) | (~v2_cat_1(A)) | ![B: $i] : ((~l1_cat_1(B)) | (~v2_cat_1(B)) | ![C: $i] : ((~l1_cat_1(C)) | (~v2_cat_1(C)) | ![D: $i] : ((~m2_cat_1(D, B, C)) | ![E: $i] : ((~m2_cat_1(E, B, C)) | ![F: $i] : ((~m2_cat_1(F, B, C)) | ![G: $i] : ((~m2_cat_1(G, C, A)) | ![H: $i] : ((~m2_nattra_1(H, B, C, D, E)) | ![I: $i] : (r4_nattra_1(u1_cat_1(B), u2_cat_1(A), u1_cat_1(B), u2_cat_1(A), k6_isocat_1(B, C, A, D, F, k8_nattra_1(B, C, D, E, F, H, I), G), k8_nattra_1(B, A, k2_isocat_1(B, C, A, D, G), k2_isocat_1(B, C, A, E, G), k2_isocat_1(B, C, A, F, G), k6_isocat_1(B, C, A, D, E, H, G), k6_isocat_1(B, C, A, E, F, I, G))) | (~m2_nattra_1(I, B, C, E, F)) | (~r2_nattra_1(B, C, D, E)) | (~r2_nattra_1(B, C, E, F)))))))))))),
% 18.72/18.94 inference(quant_intro,[status(thm)],[229])).
% 18.72/18.94 tff(231,plain,
% 18.72/18.94 (![A: $i] : ((~l1_cat_1(A)) | (~v2_cat_1(A)) | ![B: $i] : ((~l1_cat_1(B)) | (~v2_cat_1(B)) | ![C: $i] : ((~l1_cat_1(C)) | (~v2_cat_1(C)) | ![D: $i] : ((~m2_cat_1(D, B, C)) | ![E: $i] : ((~m2_cat_1(E, B, C)) | ![F: $i] : ((~m2_cat_1(F, B, C)) | ![G: $i] : ((~m2_cat_1(G, C, A)) | ![H: $i] : ((~m2_nattra_1(H, B, C, D, E)) | ![I: $i] : (r4_nattra_1(u1_cat_1(B), u2_cat_1(A), u1_cat_1(B), u2_cat_1(A), k6_isocat_1(B, C, A, D, F, k8_nattra_1(B, C, D, E, F, H, I), G), k8_nattra_1(B, A, k2_isocat_1(B, C, A, D, G), k2_isocat_1(B, C, A, E, G), k2_isocat_1(B, C, A, F, G), k6_isocat_1(B, C, A, D, E, H, G), k6_isocat_1(B, C, A, E, F, I, G))) | (~m2_nattra_1(I, B, C, E, F)) | (~r2_nattra_1(B, C, D, E)) | (~r2_nattra_1(B, C, E, F))))))))))) <=> ![A: $i] : ((~l1_cat_1(A)) | (~v2_cat_1(A)) | ![B: $i] : ((~l1_cat_1(B)) | (~v2_cat_1(B)) | ![C: $i] : ((~l1_cat_1(C)) | (~v2_cat_1(C)) | ![D: $i] : ((~m2_cat_1(D, B, C)) | ![E: $i] : ((~m2_cat_1(E, B, C)) | ![F: $i] : ((~m2_cat_1(F, B, C)) | ![G: $i] : ((~m2_cat_1(G, C, A)) | ![H: $i] : ((~m2_nattra_1(H, B, C, D, E)) | ![I: $i] : (r4_nattra_1(u1_cat_1(B), u2_cat_1(A), u1_cat_1(B), u2_cat_1(A), k6_isocat_1(B, C, A, D, F, k8_nattra_1(B, C, D, E, F, H, I), G), k8_nattra_1(B, A, k2_isocat_1(B, C, A, D, G), k2_isocat_1(B, C, A, E, G), k2_isocat_1(B, C, A, F, G), k6_isocat_1(B, C, A, D, E, H, G), k6_isocat_1(B, C, A, E, F, I, G))) | (~m2_nattra_1(I, B, C, E, F)) | (~r2_nattra_1(B, C, D, E)) | (~r2_nattra_1(B, C, E, F)))))))))))),
% 18.72/18.94 inference(transitivity,[status(thm)],[230, 228])).
% 18.72/18.94 tff(232,plain,
% 18.72/18.94 (^[A: $i] : trans(monotonicity(trans(monotonicity(rewrite((v2_cat_1(A) & l1_cat_1(A)) <=> (~((~l1_cat_1(A)) | (~v2_cat_1(A))))), ((~(v2_cat_1(A) & l1_cat_1(A))) <=> (~(~((~l1_cat_1(A)) | (~v2_cat_1(A))))))), rewrite((~(~((~l1_cat_1(A)) | (~v2_cat_1(A))))) <=> ((~l1_cat_1(A)) | (~v2_cat_1(A)))), ((~(v2_cat_1(A) & l1_cat_1(A))) <=> ((~l1_cat_1(A)) | (~v2_cat_1(A))))), quant_intro(proof_bind(^[B: $i] : trans(monotonicity(trans(monotonicity(rewrite((v2_cat_1(B) & l1_cat_1(B)) <=> (~((~l1_cat_1(B)) | (~v2_cat_1(B))))), ((~(v2_cat_1(B) & l1_cat_1(B))) <=> (~(~((~l1_cat_1(B)) | (~v2_cat_1(B))))))), rewrite((~(~((~l1_cat_1(B)) | (~v2_cat_1(B))))) <=> ((~l1_cat_1(B)) | (~v2_cat_1(B)))), ((~(v2_cat_1(B) & l1_cat_1(B))) <=> ((~l1_cat_1(B)) | (~v2_cat_1(B))))), quant_intro(proof_bind(^[C: $i] : trans(monotonicity(trans(monotonicity(rewrite((v2_cat_1(C) & l1_cat_1(C)) <=> (~((~l1_cat_1(C)) | (~v2_cat_1(C))))), ((~(v2_cat_1(C) & l1_cat_1(C))) <=> (~(~((~l1_cat_1(C)) | (~v2_cat_1(C))))))), rewrite((~(~((~l1_cat_1(C)) | (~v2_cat_1(C))))) <=> ((~l1_cat_1(C)) | (~v2_cat_1(C)))), ((~(v2_cat_1(C) & l1_cat_1(C))) <=> ((~l1_cat_1(C)) | (~v2_cat_1(C))))), quant_intro(proof_bind(^[D: $i] : rewrite(((~m2_cat_1(D, B, C)) | ![E: $i] : ((~m2_cat_1(E, B, C)) | ![F: $i] : ((~m2_cat_1(F, B, C)) | ![G: $i] : ((~m2_cat_1(G, C, A)) | ![H: $i] : ((~m2_nattra_1(H, B, C, D, E)) | ![I: $i] : (r4_nattra_1(u1_cat_1(B), u2_cat_1(A), u1_cat_1(B), u2_cat_1(A), k6_isocat_1(B, C, A, D, F, k8_nattra_1(B, C, D, E, F, H, I), G), k8_nattra_1(B, A, k2_isocat_1(B, C, A, D, G), k2_isocat_1(B, C, A, E, G), k2_isocat_1(B, C, A, F, G), k6_isocat_1(B, C, A, D, E, H, G), k6_isocat_1(B, C, A, E, F, I, G))) | (~(r2_nattra_1(B, C, D, E) & r2_nattra_1(B, C, E, F))) | (~m2_nattra_1(I, B, C, E, F)))))))) <=> ((~m2_cat_1(D, B, C)) | ![E: $i] : ((~m2_cat_1(E, B, C)) | ![F: $i] : ((~m2_cat_1(F, B, C)) | ![G: $i] : ((~m2_cat_1(G, C, A)) | ![H: $i] : ((~m2_nattra_1(H, B, C, D, E)) | ![I: $i] : (r4_nattra_1(u1_cat_1(B), u2_cat_1(A), u1_cat_1(B), u2_cat_1(A), k6_isocat_1(B, C, A, D, F, k8_nattra_1(B, C, D, E, F, H, I), G), k8_nattra_1(B, A, k2_isocat_1(B, C, A, D, G), k2_isocat_1(B, C, A, E, G), k2_isocat_1(B, C, A, F, G), k6_isocat_1(B, C, A, D, E, H, G), k6_isocat_1(B, C, A, E, F, I, G))) | (~m2_nattra_1(I, B, C, E, F)) | (~r2_nattra_1(B, C, D, E)) | (~r2_nattra_1(B, C, E, F)))))))))), (![D: $i] : ((~m2_cat_1(D, B, C)) | ![E: $i] : ((~m2_cat_1(E, B, C)) | ![F: $i] : ((~m2_cat_1(F, B, C)) | ![G: $i] : ((~m2_cat_1(G, C, A)) | ![H: $i] : ((~m2_nattra_1(H, B, C, D, E)) | ![I: $i] : (r4_nattra_1(u1_cat_1(B), u2_cat_1(A), u1_cat_1(B), u2_cat_1(A), k6_isocat_1(B, C, A, D, F, k8_nattra_1(B, C, D, E, F, H, I), G), k8_nattra_1(B, A, k2_isocat_1(B, C, A, D, G), k2_isocat_1(B, C, A, E, G), k2_isocat_1(B, C, A, F, G), k6_isocat_1(B, C, A, D, E, H, G), k6_isocat_1(B, C, A, E, F, I, G))) | (~(r2_nattra_1(B, C, D, E) & r2_nattra_1(B, C, E, F))) | (~m2_nattra_1(I, B, C, E, F)))))))) <=> ![D: $i] : ((~m2_cat_1(D, B, C)) | ![E: $i] : ((~m2_cat_1(E, B, C)) | ![F: $i] : ((~m2_cat_1(F, B, C)) | ![G: $i] : ((~m2_cat_1(G, C, A)) | ![H: $i] : ((~m2_nattra_1(H, B, C, D, E)) | ![I: $i] : (r4_nattra_1(u1_cat_1(B), u2_cat_1(A), u1_cat_1(B), u2_cat_1(A), k6_isocat_1(B, C, A, D, F, k8_nattra_1(B, C, D, E, F, H, I), G), k8_nattra_1(B, A, k2_isocat_1(B, C, A, D, G), k2_isocat_1(B, C, A, E, G), k2_isocat_1(B, C, A, F, G), k6_isocat_1(B, C, A, D, E, H, G), k6_isocat_1(B, C, A, E, F, I, G))) | (~m2_nattra_1(I, B, C, E, F)) | (~r2_nattra_1(B, C, D, E)) | (~r2_nattra_1(B, C, E, F)))))))))), (((~(v2_cat_1(C) & l1_cat_1(C))) | ![D: $i] : ((~m2_cat_1(D, B, C)) | ![E: $i] : ((~m2_cat_1(E, B, C)) | ![F: $i] : ((~m2_cat_1(F, B, C)) | ![G: $i] : ((~m2_cat_1(G, C, A)) | ![H: $i] : ((~m2_nattra_1(H, B, C, D, E)) | ![I: $i] : (r4_nattra_1(u1_cat_1(B), u2_cat_1(A), u1_cat_1(B), u2_cat_1(A), k6_isocat_1(B, C, A, D, F, k8_nattra_1(B, C, D, E, F, H, I), G), k8_nattra_1(B, A, k2_isocat_1(B, C, A, D, G), k2_isocat_1(B, C, A, E, G), k2_isocat_1(B, C, A, F, G), k6_isocat_1(B, C, A, D, E, H, G), k6_isocat_1(B, C, A, E, F, I, G))) | (~(r2_nattra_1(B, C, D, E) & r2_nattra_1(B, C, E, F))) | (~m2_nattra_1(I, B, C, E, F))))))))) <=> (((~l1_cat_1(C)) | (~v2_cat_1(C))) | ![D: $i] : ((~m2_cat_1(D, B, C)) | ![E: $i] : ((~m2_cat_1(E, B, C)) | ![F: $i] : ((~m2_cat_1(F, B, C)) | ![G: $i] : ((~m2_cat_1(G, C, A)) | ![H: $i] : ((~m2_nattra_1(H, B, C, D, E)) | ![I: $i] : (r4_nattra_1(u1_cat_1(B), u2_cat_1(A), u1_cat_1(B), u2_cat_1(A), k6_isocat_1(B, C, A, D, F, k8_nattra_1(B, C, D, E, F, H, I), G), k8_nattra_1(B, A, k2_isocat_1(B, C, A, D, G), k2_isocat_1(B, C, A, E, G), k2_isocat_1(B, C, A, F, G), k6_isocat_1(B, C, A, D, E, H, G), k6_isocat_1(B, C, A, E, F, I, G))) | (~m2_nattra_1(I, B, C, E, F)) | (~r2_nattra_1(B, C, D, E)) | (~r2_nattra_1(B, C, E, F))))))))))), rewrite((((~l1_cat_1(C)) | (~v2_cat_1(C))) | ![D: $i] : ((~m2_cat_1(D, B, C)) | ![E: $i] : ((~m2_cat_1(E, B, C)) | ![F: $i] : ((~m2_cat_1(F, B, C)) | ![G: $i] : ((~m2_cat_1(G, C, A)) | ![H: $i] : ((~m2_nattra_1(H, B, C, D, E)) | ![I: $i] : (r4_nattra_1(u1_cat_1(B), u2_cat_1(A), u1_cat_1(B), u2_cat_1(A), k6_isocat_1(B, C, A, D, F, k8_nattra_1(B, C, D, E, F, H, I), G), k8_nattra_1(B, A, k2_isocat_1(B, C, A, D, G), k2_isocat_1(B, C, A, E, G), k2_isocat_1(B, C, A, F, G), k6_isocat_1(B, C, A, D, E, H, G), k6_isocat_1(B, C, A, E, F, I, G))) | (~m2_nattra_1(I, B, C, E, F)) | (~r2_nattra_1(B, C, D, E)) | (~r2_nattra_1(B, C, E, F))))))))) <=> ((~l1_cat_1(C)) | (~v2_cat_1(C)) | ![D: $i] : ((~m2_cat_1(D, B, C)) | ![E: $i] : ((~m2_cat_1(E, B, C)) | ![F: $i] : ((~m2_cat_1(F, B, C)) | ![G: $i] : ((~m2_cat_1(G, C, A)) | ![H: $i] : ((~m2_nattra_1(H, B, C, D, E)) | ![I: $i] : (r4_nattra_1(u1_cat_1(B), u2_cat_1(A), u1_cat_1(B), u2_cat_1(A), k6_isocat_1(B, C, A, D, F, k8_nattra_1(B, C, D, E, F, H, I), G), k8_nattra_1(B, A, k2_isocat_1(B, C, A, D, G), k2_isocat_1(B, C, A, E, G), k2_isocat_1(B, C, A, F, G), k6_isocat_1(B, C, A, D, E, H, G), k6_isocat_1(B, C, A, E, F, I, G))) | (~m2_nattra_1(I, B, C, E, F)) | (~r2_nattra_1(B, C, D, E)) | (~r2_nattra_1(B, C, E, F)))))))))), (((~(v2_cat_1(C) & l1_cat_1(C))) | ![D: $i] : ((~m2_cat_1(D, B, C)) | ![E: $i] : ((~m2_cat_1(E, B, C)) | ![F: $i] : ((~m2_cat_1(F, B, C)) | ![G: $i] : ((~m2_cat_1(G, C, A)) | ![H: $i] : ((~m2_nattra_1(H, B, C, D, E)) | ![I: $i] : (r4_nattra_1(u1_cat_1(B), u2_cat_1(A), u1_cat_1(B), u2_cat_1(A), k6_isocat_1(B, C, A, D, F, k8_nattra_1(B, C, D, E, F, H, I), G), k8_nattra_1(B, A, k2_isocat_1(B, C, A, D, G), k2_isocat_1(B, C, A, E, G), k2_isocat_1(B, C, A, F, G), k6_isocat_1(B, C, A, D, E, H, G), k6_isocat_1(B, C, A, E, F, I, G))) | (~(r2_nattra_1(B, C, D, E) & r2_nattra_1(B, C, E, F))) | (~m2_nattra_1(I, B, C, E, F))))))))) <=> ((~l1_cat_1(C)) | (~v2_cat_1(C)) | ![D: $i] : ((~m2_cat_1(D, B, C)) | ![E: $i] : ((~m2_cat_1(E, B, C)) | ![F: $i] : ((~m2_cat_1(F, B, C)) | ![G: $i] : ((~m2_cat_1(G, C, A)) | ![H: $i] : ((~m2_nattra_1(H, B, C, D, E)) | ![I: $i] : (r4_nattra_1(u1_cat_1(B), u2_cat_1(A), u1_cat_1(B), u2_cat_1(A), k6_isocat_1(B, C, A, D, F, k8_nattra_1(B, C, D, E, F, H, I), G), k8_nattra_1(B, A, k2_isocat_1(B, C, A, D, G), k2_isocat_1(B, C, A, E, G), k2_isocat_1(B, C, A, F, G), k6_isocat_1(B, C, A, D, E, H, G), k6_isocat_1(B, C, A, E, F, I, G))) | (~m2_nattra_1(I, B, C, E, F)) | (~r2_nattra_1(B, C, D, E)) | (~r2_nattra_1(B, C, E, F)))))))))))), (![C: $i] : ((~(v2_cat_1(C) & l1_cat_1(C))) | ![D: $i] : ((~m2_cat_1(D, B, C)) | ![E: $i] : ((~m2_cat_1(E, B, C)) | ![F: $i] : ((~m2_cat_1(F, B, C)) | ![G: $i] : ((~m2_cat_1(G, C, A)) | ![H: $i] : ((~m2_nattra_1(H, B, C, D, E)) | ![I: $i] : (r4_nattra_1(u1_cat_1(B), u2_cat_1(A), u1_cat_1(B), u2_cat_1(A), k6_isocat_1(B, C, A, D, F, k8_nattra_1(B, C, D, E, F, H, I), G), k8_nattra_1(B, A, k2_isocat_1(B, C, A, D, G), k2_isocat_1(B, C, A, E, G), k2_isocat_1(B, C, A, F, G), k6_isocat_1(B, C, A, D, E, H, G), k6_isocat_1(B, C, A, E, F, I, G))) | (~(r2_nattra_1(B, C, D, E) & r2_nattra_1(B, C, E, F))) | (~m2_nattra_1(I, B, C, E, F))))))))) <=> ![C: $i] : ((~l1_cat_1(C)) | (~v2_cat_1(C)) | ![D: $i] : ((~m2_cat_1(D, B, C)) | ![E: $i] : ((~m2_cat_1(E, B, C)) | ![F: $i] : ((~m2_cat_1(F, B, C)) | ![G: $i] : ((~m2_cat_1(G, C, A)) | ![H: $i] : ((~m2_nattra_1(H, B, C, D, E)) | ![I: $i] : (r4_nattra_1(u1_cat_1(B), u2_cat_1(A), u1_cat_1(B), u2_cat_1(A), k6_isocat_1(B, C, A, D, F, k8_nattra_1(B, C, D, E, F, H, I), G), k8_nattra_1(B, A, k2_isocat_1(B, C, A, D, G), k2_isocat_1(B, C, A, E, G), k2_isocat_1(B, C, A, F, G), k6_isocat_1(B, C, A, D, E, H, G), k6_isocat_1(B, C, A, E, F, I, G))) | (~m2_nattra_1(I, B, C, E, F)) | (~r2_nattra_1(B, C, D, E)) | (~r2_nattra_1(B, C, E, F))))))))))), (((~(v2_cat_1(B) & l1_cat_1(B))) | ![C: $i] : ((~(v2_cat_1(C) & l1_cat_1(C))) | ![D: $i] : ((~m2_cat_1(D, B, C)) | ![E: $i] : ((~m2_cat_1(E, B, C)) | ![F: $i] : ((~m2_cat_1(F, B, C)) | ![G: $i] : ((~m2_cat_1(G, C, A)) | ![H: $i] : ((~m2_nattra_1(H, B, C, D, E)) | ![I: $i] : (r4_nattra_1(u1_cat_1(B), u2_cat_1(A), u1_cat_1(B), u2_cat_1(A), k6_isocat_1(B, C, A, D, F, k8_nattra_1(B, C, D, E, F, H, I), G), k8_nattra_1(B, A, k2_isocat_1(B, C, A, D, G), k2_isocat_1(B, C, A, E, G), k2_isocat_1(B, C, A, F, G), k6_isocat_1(B, C, A, D, E, H, G), k6_isocat_1(B, C, A, E, F, I, G))) | (~(r2_nattra_1(B, C, D, E) & r2_nattra_1(B, C, E, F))) | (~m2_nattra_1(I, B, C, E, F)))))))))) <=> (((~l1_cat_1(B)) | (~v2_cat_1(B))) | ![C: $i] : ((~l1_cat_1(C)) | (~v2_cat_1(C)) | ![D: $i] : ((~m2_cat_1(D, B, C)) | ![E: $i] : ((~m2_cat_1(E, B, C)) | ![F: $i] : ((~m2_cat_1(F, B, C)) | ![G: $i] : ((~m2_cat_1(G, C, A)) | ![H: $i] : ((~m2_nattra_1(H, B, C, D, E)) | ![I: $i] : (r4_nattra_1(u1_cat_1(B), u2_cat_1(A), u1_cat_1(B), u2_cat_1(A), k6_isocat_1(B, C, A, D, F, k8_nattra_1(B, C, D, E, F, H, I), G), k8_nattra_1(B, A, k2_isocat_1(B, C, A, D, G), k2_isocat_1(B, C, A, E, G), k2_isocat_1(B, C, A, F, G), k6_isocat_1(B, C, A, D, E, H, G), k6_isocat_1(B, C, A, E, F, I, G))) | (~m2_nattra_1(I, B, C, E, F)) | (~r2_nattra_1(B, C, D, E)) | (~r2_nattra_1(B, C, E, F)))))))))))), rewrite((((~l1_cat_1(B)) | (~v2_cat_1(B))) | ![C: $i] : ((~l1_cat_1(C)) | (~v2_cat_1(C)) | ![D: $i] : ((~m2_cat_1(D, B, C)) | ![E: $i] : ((~m2_cat_1(E, B, C)) | ![F: $i] : ((~m2_cat_1(F, B, C)) | ![G: $i] : ((~m2_cat_1(G, C, A)) | ![H: $i] : ((~m2_nattra_1(H, B, C, D, E)) | ![I: $i] : (r4_nattra_1(u1_cat_1(B), u2_cat_1(A), u1_cat_1(B), u2_cat_1(A), k6_isocat_1(B, C, A, D, F, k8_nattra_1(B, C, D, E, F, H, I), G), k8_nattra_1(B, A, k2_isocat_1(B, C, A, D, G), k2_isocat_1(B, C, A, E, G), k2_isocat_1(B, C, A, F, G), k6_isocat_1(B, C, A, D, E, H, G), k6_isocat_1(B, C, A, E, F, I, G))) | (~m2_nattra_1(I, B, C, E, F)) | (~r2_nattra_1(B, C, D, E)) | (~r2_nattra_1(B, C, E, F)))))))))) <=> ((~l1_cat_1(B)) | (~v2_cat_1(B)) | ![C: $i] : ((~l1_cat_1(C)) | (~v2_cat_1(C)) | ![D: $i] : ((~m2_cat_1(D, B, C)) | ![E: $i] : ((~m2_cat_1(E, B, C)) | ![F: $i] : ((~m2_cat_1(F, B, C)) | ![G: $i] : ((~m2_cat_1(G, C, A)) | ![H: $i] : ((~m2_nattra_1(H, B, C, D, E)) | ![I: $i] : (r4_nattra_1(u1_cat_1(B), u2_cat_1(A), u1_cat_1(B), u2_cat_1(A), k6_isocat_1(B, C, A, D, F, k8_nattra_1(B, C, D, E, F, H, I), G), k8_nattra_1(B, A, k2_isocat_1(B, C, A, D, G), k2_isocat_1(B, C, A, E, G), k2_isocat_1(B, C, A, F, G), k6_isocat_1(B, C, A, D, E, H, G), k6_isocat_1(B, C, A, E, F, I, G))) | (~m2_nattra_1(I, B, C, E, F)) | (~r2_nattra_1(B, C, D, E)) | (~r2_nattra_1(B, C, E, F))))))))))), (((~(v2_cat_1(B) & l1_cat_1(B))) | ![C: $i] : ((~(v2_cat_1(C) & l1_cat_1(C))) | ![D: $i] : ((~m2_cat_1(D, B, C)) | ![E: $i] : ((~m2_cat_1(E, B, C)) | ![F: $i] : ((~m2_cat_1(F, B, C)) | ![G: $i] : ((~m2_cat_1(G, C, A)) | ![H: $i] : ((~m2_nattra_1(H, B, C, D, E)) | ![I: $i] : (r4_nattra_1(u1_cat_1(B), u2_cat_1(A), u1_cat_1(B), u2_cat_1(A), k6_isocat_1(B, C, A, D, F, k8_nattra_1(B, C, D, E, F, H, I), G), k8_nattra_1(B, A, k2_isocat_1(B, C, A, D, G), k2_isocat_1(B, C, A, E, G), k2_isocat_1(B, C, A, F, G), k6_isocat_1(B, C, A, D, E, H, G), k6_isocat_1(B, C, A, E, F, I, G))) | (~(r2_nattra_1(B, C, D, E) & r2_nattra_1(B, C, E, F))) | (~m2_nattra_1(I, B, C, E, F)))))))))) <=> ((~l1_cat_1(B)) | (~v2_cat_1(B)) | ![C: $i] : ((~l1_cat_1(C)) | (~v2_cat_1(C)) | ![D: $i] : ((~m2_cat_1(D, B, C)) | ![E: $i] : ((~m2_cat_1(E, B, C)) | ![F: $i] : ((~m2_cat_1(F, B, C)) | ![G: $i] : ((~m2_cat_1(G, C, A)) | ![H: $i] : ((~m2_nattra_1(H, B, C, D, E)) | ![I: $i] : (r4_nattra_1(u1_cat_1(B), u2_cat_1(A), u1_cat_1(B), u2_cat_1(A), k6_isocat_1(B, C, A, D, F, k8_nattra_1(B, C, D, E, F, H, I), G), k8_nattra_1(B, A, k2_isocat_1(B, C, A, D, G), k2_isocat_1(B, C, A, E, G), k2_isocat_1(B, C, A, F, G), k6_isocat_1(B, C, A, D, E, H, G), k6_isocat_1(B, C, A, E, F, I, G))) | (~m2_nattra_1(I, B, C, E, F)) | (~r2_nattra_1(B, C, D, E)) | (~r2_nattra_1(B, C, E, F))))))))))))), (![B: $i] : ((~(v2_cat_1(B) & l1_cat_1(B))) | ![C: $i] : ((~(v2_cat_1(C) & l1_cat_1(C))) | ![D: $i] : ((~m2_cat_1(D, B, C)) | ![E: $i] : ((~m2_cat_1(E, B, C)) | ![F: $i] : ((~m2_cat_1(F, B, C)) | ![G: $i] : ((~m2_cat_1(G, C, A)) | ![H: $i] : ((~m2_nattra_1(H, B, C, D, E)) | ![I: $i] : (r4_nattra_1(u1_cat_1(B), u2_cat_1(A), u1_cat_1(B), u2_cat_1(A), k6_isocat_1(B, C, A, D, F, k8_nattra_1(B, C, D, E, F, H, I), G), k8_nattra_1(B, A, k2_isocat_1(B, C, A, D, G), k2_isocat_1(B, C, A, E, G), k2_isocat_1(B, C, A, F, G), k6_isocat_1(B, C, A, D, E, H, G), k6_isocat_1(B, C, A, E, F, I, G))) | (~(r2_nattra_1(B, C, D, E) & r2_nattra_1(B, C, E, F))) | (~m2_nattra_1(I, B, C, E, F)))))))))) <=> ![B: $i] : ((~l1_cat_1(B)) | (~v2_cat_1(B)) | ![C: $i] : ((~l1_cat_1(C)) | (~v2_cat_1(C)) | ![D: $i] : ((~m2_cat_1(D, B, C)) | ![E: $i] : ((~m2_cat_1(E, B, C)) | ![F: $i] : ((~m2_cat_1(F, B, C)) | ![G: $i] : ((~m2_cat_1(G, C, A)) | ![H: $i] : ((~m2_nattra_1(H, B, C, D, E)) | ![I: $i] : (r4_nattra_1(u1_cat_1(B), u2_cat_1(A), u1_cat_1(B), u2_cat_1(A), k6_isocat_1(B, C, A, D, F, k8_nattra_1(B, C, D, E, F, H, I), G), k8_nattra_1(B, A, k2_isocat_1(B, C, A, D, G), k2_isocat_1(B, C, A, E, G), k2_isocat_1(B, C, A, F, G), k6_isocat_1(B, C, A, D, E, H, G), k6_isocat_1(B, C, A, E, F, I, G))) | (~m2_nattra_1(I, B, C, E, F)) | (~r2_nattra_1(B, C, D, E)) | (~r2_nattra_1(B, C, E, F)))))))))))), (((~(v2_cat_1(A) & l1_cat_1(A))) | ![B: $i] : ((~(v2_cat_1(B) & l1_cat_1(B))) | ![C: $i] : ((~(v2_cat_1(C) & l1_cat_1(C))) | ![D: $i] : ((~m2_cat_1(D, B, C)) | ![E: $i] : ((~m2_cat_1(E, B, C)) | ![F: $i] : ((~m2_cat_1(F, B, C)) | ![G: $i] : ((~m2_cat_1(G, C, A)) | ![H: $i] : ((~m2_nattra_1(H, B, C, D, E)) | ![I: $i] : (r4_nattra_1(u1_cat_1(B), u2_cat_1(A), u1_cat_1(B), u2_cat_1(A), k6_isocat_1(B, C, A, D, F, k8_nattra_1(B, C, D, E, F, H, I), G), k8_nattra_1(B, A, k2_isocat_1(B, C, A, D, G), k2_isocat_1(B, C, A, E, G), k2_isocat_1(B, C, A, F, G), k6_isocat_1(B, C, A, D, E, H, G), k6_isocat_1(B, C, A, E, F, I, G))) | (~(r2_nattra_1(B, C, D, E) & r2_nattra_1(B, C, E, F))) | (~m2_nattra_1(I, B, C, E, F))))))))))) <=> (((~l1_cat_1(A)) | (~v2_cat_1(A))) | ![B: $i] : ((~l1_cat_1(B)) | (~v2_cat_1(B)) | ![C: $i] : ((~l1_cat_1(C)) | (~v2_cat_1(C)) | ![D: $i] : ((~m2_cat_1(D, B, C)) | ![E: $i] : ((~m2_cat_1(E, B, C)) | ![F: $i] : ((~m2_cat_1(F, B, C)) | ![G: $i] : ((~m2_cat_1(G, C, A)) | ![H: $i] : ((~m2_nattra_1(H, B, C, D, E)) | ![I: $i] : (r4_nattra_1(u1_cat_1(B), u2_cat_1(A), u1_cat_1(B), u2_cat_1(A), k6_isocat_1(B, C, A, D, F, k8_nattra_1(B, C, D, E, F, H, I), G), k8_nattra_1(B, A, k2_isocat_1(B, C, A, D, G), k2_isocat_1(B, C, A, E, G), k2_isocat_1(B, C, A, F, G), k6_isocat_1(B, C, A, D, E, H, G), k6_isocat_1(B, C, A, E, F, I, G))) | (~m2_nattra_1(I, B, C, E, F)) | (~r2_nattra_1(B, C, D, E)) | (~r2_nattra_1(B, C, E, F))))))))))))), rewrite((((~l1_cat_1(A)) | (~v2_cat_1(A))) | ![B: $i] : ((~l1_cat_1(B)) | (~v2_cat_1(B)) | ![C: $i] : ((~l1_cat_1(C)) | (~v2_cat_1(C)) | ![D: $i] : ((~m2_cat_1(D, B, C)) | ![E: $i] : ((~m2_cat_1(E, B, C)) | ![F: $i] : ((~m2_cat_1(F, B, C)) | ![G: $i] : ((~m2_cat_1(G, C, A)) | ![H: $i] : ((~m2_nattra_1(H, B, C, D, E)) | ![I: $i] : (r4_nattra_1(u1_cat_1(B), u2_cat_1(A), u1_cat_1(B), u2_cat_1(A), k6_isocat_1(B, C, A, D, F, k8_nattra_1(B, C, D, E, F, H, I), G), k8_nattra_1(B, A, k2_isocat_1(B, C, A, D, G), k2_isocat_1(B, C, A, E, G), k2_isocat_1(B, C, A, F, G), k6_isocat_1(B, C, A, D, E, H, G), k6_isocat_1(B, C, A, E, F, I, G))) | (~m2_nattra_1(I, B, C, E, F)) | (~r2_nattra_1(B, C, D, E)) | (~r2_nattra_1(B, C, E, F))))))))))) <=> ((~l1_cat_1(A)) | (~v2_cat_1(A)) | ![B: $i] : ((~l1_cat_1(B)) | (~v2_cat_1(B)) | ![C: $i] : ((~l1_cat_1(C)) | (~v2_cat_1(C)) | ![D: $i] : ((~m2_cat_1(D, B, C)) | ![E: $i] : ((~m2_cat_1(E, B, C)) | ![F: $i] : ((~m2_cat_1(F, B, C)) | ![G: $i] : ((~m2_cat_1(G, C, A)) | ![H: $i] : ((~m2_nattra_1(H, B, C, D, E)) | ![I: $i] : (r4_nattra_1(u1_cat_1(B), u2_cat_1(A), u1_cat_1(B), u2_cat_1(A), k6_isocat_1(B, C, A, D, F, k8_nattra_1(B, C, D, E, F, H, I), G), k8_nattra_1(B, A, k2_isocat_1(B, C, A, D, G), k2_isocat_1(B, C, A, E, G), k2_isocat_1(B, C, A, F, G), k6_isocat_1(B, C, A, D, E, H, G), k6_isocat_1(B, C, A, E, F, I, G))) | (~m2_nattra_1(I, B, C, E, F)) | (~r2_nattra_1(B, C, D, E)) | (~r2_nattra_1(B, C, E, F)))))))))))), (((~(v2_cat_1(A) & l1_cat_1(A))) | ![B: $i] : ((~(v2_cat_1(B) & l1_cat_1(B))) | ![C: $i] : ((~(v2_cat_1(C) & l1_cat_1(C))) | ![D: $i] : ((~m2_cat_1(D, B, C)) | ![E: $i] : ((~m2_cat_1(E, B, C)) | ![F: $i] : ((~m2_cat_1(F, B, C)) | ![G: $i] : ((~m2_cat_1(G, C, A)) | ![H: $i] : ((~m2_nattra_1(H, B, C, D, E)) | ![I: $i] : (r4_nattra_1(u1_cat_1(B), u2_cat_1(A), u1_cat_1(B), u2_cat_1(A), k6_isocat_1(B, C, A, D, F, k8_nattra_1(B, C, D, E, F, H, I), G), k8_nattra_1(B, A, k2_isocat_1(B, C, A, D, G), k2_isocat_1(B, C, A, E, G), k2_isocat_1(B, C, A, F, G), k6_isocat_1(B, C, A, D, E, H, G), k6_isocat_1(B, C, A, E, F, I, G))) | (~(r2_nattra_1(B, C, D, E) & r2_nattra_1(B, C, E, F))) | (~m2_nattra_1(I, B, C, E, F))))))))))) <=> ((~l1_cat_1(A)) | (~v2_cat_1(A)) | ![B: $i] : ((~l1_cat_1(B)) | (~v2_cat_1(B)) | ![C: $i] : ((~l1_cat_1(C)) | (~v2_cat_1(C)) | ![D: $i] : ((~m2_cat_1(D, B, C)) | ![E: $i] : ((~m2_cat_1(E, B, C)) | ![F: $i] : ((~m2_cat_1(F, B, C)) | ![G: $i] : ((~m2_cat_1(G, C, A)) | ![H: $i] : ((~m2_nattra_1(H, B, C, D, E)) | ![I: $i] : (r4_nattra_1(u1_cat_1(B), u2_cat_1(A), u1_cat_1(B), u2_cat_1(A), k6_isocat_1(B, C, A, D, F, k8_nattra_1(B, C, D, E, F, H, I), G), k8_nattra_1(B, A, k2_isocat_1(B, C, A, D, G), k2_isocat_1(B, C, A, E, G), k2_isocat_1(B, C, A, F, G), k6_isocat_1(B, C, A, D, E, H, G), k6_isocat_1(B, C, A, E, F, I, G))) | (~m2_nattra_1(I, B, C, E, F)) | (~r2_nattra_1(B, C, D, E)) | (~r2_nattra_1(B, C, E, F)))))))))))))),
% 18.72/18.94 inference(bind,[status(th)],[])).
% 18.72/18.94 tff(233,plain,
% 18.72/18.94 (![A: $i] : ((~(v2_cat_1(A) & l1_cat_1(A))) | ![B: $i] : ((~(v2_cat_1(B) & l1_cat_1(B))) | ![C: $i] : ((~(v2_cat_1(C) & l1_cat_1(C))) | ![D: $i] : ((~m2_cat_1(D, B, C)) | ![E: $i] : ((~m2_cat_1(E, B, C)) | ![F: $i] : ((~m2_cat_1(F, B, C)) | ![G: $i] : ((~m2_cat_1(G, C, A)) | ![H: $i] : ((~m2_nattra_1(H, B, C, D, E)) | ![I: $i] : (r4_nattra_1(u1_cat_1(B), u2_cat_1(A), u1_cat_1(B), u2_cat_1(A), k6_isocat_1(B, C, A, D, F, k8_nattra_1(B, C, D, E, F, H, I), G), k8_nattra_1(B, A, k2_isocat_1(B, C, A, D, G), k2_isocat_1(B, C, A, E, G), k2_isocat_1(B, C, A, F, G), k6_isocat_1(B, C, A, D, E, H, G), k6_isocat_1(B, C, A, E, F, I, G))) | (~(r2_nattra_1(B, C, D, E) & r2_nattra_1(B, C, E, F))) | (~m2_nattra_1(I, B, C, E, F))))))))))) <=> ![A: $i] : ((~l1_cat_1(A)) | (~v2_cat_1(A)) | ![B: $i] : ((~l1_cat_1(B)) | (~v2_cat_1(B)) | ![C: $i] : ((~l1_cat_1(C)) | (~v2_cat_1(C)) | ![D: $i] : ((~m2_cat_1(D, B, C)) | ![E: $i] : ((~m2_cat_1(E, B, C)) | ![F: $i] : ((~m2_cat_1(F, B, C)) | ![G: $i] : ((~m2_cat_1(G, C, A)) | ![H: $i] : ((~m2_nattra_1(H, B, C, D, E)) | ![I: $i] : (r4_nattra_1(u1_cat_1(B), u2_cat_1(A), u1_cat_1(B), u2_cat_1(A), k6_isocat_1(B, C, A, D, F, k8_nattra_1(B, C, D, E, F, H, I), G), k8_nattra_1(B, A, k2_isocat_1(B, C, A, D, G), k2_isocat_1(B, C, A, E, G), k2_isocat_1(B, C, A, F, G), k6_isocat_1(B, C, A, D, E, H, G), k6_isocat_1(B, C, A, E, F, I, G))) | (~m2_nattra_1(I, B, C, E, F)) | (~r2_nattra_1(B, C, D, E)) | (~r2_nattra_1(B, C, E, F)))))))))))),
% 18.72/18.94 inference(quant_intro,[status(thm)],[232])).
% 18.72/18.94 tff(234,plain,
% 18.72/18.94 (![A: $i] : ((~(v2_cat_1(A) & l1_cat_1(A))) | ![B: $i] : ((~(v2_cat_1(B) & l1_cat_1(B))) | ![C: $i] : ((~(v2_cat_1(C) & l1_cat_1(C))) | ![D: $i] : ((~m2_cat_1(D, B, C)) | ![E: $i] : ((~m2_cat_1(E, B, C)) | ![F: $i] : ((~m2_cat_1(F, B, C)) | ![G: $i] : ((~m2_cat_1(G, C, A)) | ![H: $i] : ((~m2_nattra_1(H, B, C, D, E)) | ![I: $i] : (r4_nattra_1(u1_cat_1(B), u2_cat_1(A), u1_cat_1(B), u2_cat_1(A), k6_isocat_1(B, C, A, D, F, k8_nattra_1(B, C, D, E, F, H, I), G), k8_nattra_1(B, A, k2_isocat_1(B, C, A, D, G), k2_isocat_1(B, C, A, E, G), k2_isocat_1(B, C, A, F, G), k6_isocat_1(B, C, A, D, E, H, G), k6_isocat_1(B, C, A, E, F, I, G))) | (~(r2_nattra_1(B, C, D, E) & r2_nattra_1(B, C, E, F))) | (~m2_nattra_1(I, B, C, E, F))))))))))) <=> ![A: $i] : ((~(v2_cat_1(A) & l1_cat_1(A))) | ![B: $i] : ((~(v2_cat_1(B) & l1_cat_1(B))) | ![C: $i] : ((~(v2_cat_1(C) & l1_cat_1(C))) | ![D: $i] : ((~m2_cat_1(D, B, C)) | ![E: $i] : ((~m2_cat_1(E, B, C)) | ![F: $i] : ((~m2_cat_1(F, B, C)) | ![G: $i] : ((~m2_cat_1(G, C, A)) | ![H: $i] : ((~m2_nattra_1(H, B, C, D, E)) | ![I: $i] : (r4_nattra_1(u1_cat_1(B), u2_cat_1(A), u1_cat_1(B), u2_cat_1(A), k6_isocat_1(B, C, A, D, F, k8_nattra_1(B, C, D, E, F, H, I), G), k8_nattra_1(B, A, k2_isocat_1(B, C, A, D, G), k2_isocat_1(B, C, A, E, G), k2_isocat_1(B, C, A, F, G), k6_isocat_1(B, C, A, D, E, H, G), k6_isocat_1(B, C, A, E, F, I, G))) | (~(r2_nattra_1(B, C, D, E) & r2_nattra_1(B, C, E, F))) | (~m2_nattra_1(I, B, C, E, F)))))))))))),
% 18.72/18.94 inference(rewrite,[status(thm)],[])).
% 18.72/18.94 tff(235,plain,
% 18.72/18.94 (^[A: $i] : trans(monotonicity(quant_intro(proof_bind(^[B: $i] : trans(monotonicity(quant_intro(proof_bind(^[C: $i] : trans(monotonicity(quant_intro(proof_bind(^[D: $i] : trans(monotonicity(quant_intro(proof_bind(^[E: $i] : trans(monotonicity(quant_intro(proof_bind(^[F: $i] : trans(monotonicity(quant_intro(proof_bind(^[G: $i] : trans(monotonicity(quant_intro(proof_bind(^[H: $i] : trans(monotonicity(quant_intro(proof_bind(^[I: $i] : trans(monotonicity(rewrite(((r2_nattra_1(B, C, D, E) & r2_nattra_1(B, C, E, F)) => r4_nattra_1(u1_cat_1(B), u2_cat_1(A), u1_cat_1(B), u2_cat_1(A), k6_isocat_1(B, C, A, D, F, k8_nattra_1(B, C, D, E, F, H, I), G), k8_nattra_1(B, A, k2_isocat_1(B, C, A, D, G), k2_isocat_1(B, C, A, E, G), k2_isocat_1(B, C, A, F, G), k6_isocat_1(B, C, A, D, E, H, G), k6_isocat_1(B, C, A, E, F, I, G)))) <=> ((~(r2_nattra_1(B, C, D, E) & r2_nattra_1(B, C, E, F))) | r4_nattra_1(u1_cat_1(B), u2_cat_1(A), u1_cat_1(B), u2_cat_1(A), k6_isocat_1(B, C, A, D, F, k8_nattra_1(B, C, D, E, F, H, I), G), k8_nattra_1(B, A, k2_isocat_1(B, C, A, D, G), k2_isocat_1(B, C, A, E, G), k2_isocat_1(B, C, A, F, G), k6_isocat_1(B, C, A, D, E, H, G), k6_isocat_1(B, C, A, E, F, I, G))))), ((m2_nattra_1(I, B, C, E, F) => ((r2_nattra_1(B, C, D, E) & r2_nattra_1(B, C, E, F)) => r4_nattra_1(u1_cat_1(B), u2_cat_1(A), u1_cat_1(B), u2_cat_1(A), k6_isocat_1(B, C, A, D, F, k8_nattra_1(B, C, D, E, F, H, I), G), k8_nattra_1(B, A, k2_isocat_1(B, C, A, D, G), k2_isocat_1(B, C, A, E, G), k2_isocat_1(B, C, A, F, G), k6_isocat_1(B, C, A, D, E, H, G), k6_isocat_1(B, C, A, E, F, I, G))))) <=> (m2_nattra_1(I, B, C, E, F) => ((~(r2_nattra_1(B, C, D, E) & r2_nattra_1(B, C, E, F))) | r4_nattra_1(u1_cat_1(B), u2_cat_1(A), u1_cat_1(B), u2_cat_1(A), k6_isocat_1(B, C, A, D, F, k8_nattra_1(B, C, D, E, F, H, I), G), k8_nattra_1(B, A, k2_isocat_1(B, C, A, D, G), k2_isocat_1(B, C, A, E, G), k2_isocat_1(B, C, A, F, G), k6_isocat_1(B, C, A, D, E, H, G), k6_isocat_1(B, C, A, E, F, I, G))))))), rewrite((m2_nattra_1(I, B, C, E, F) => ((~(r2_nattra_1(B, C, D, E) & r2_nattra_1(B, C, E, F))) | r4_nattra_1(u1_cat_1(B), u2_cat_1(A), u1_cat_1(B), u2_cat_1(A), k6_isocat_1(B, C, A, D, F, k8_nattra_1(B, C, D, E, F, H, I), G), k8_nattra_1(B, A, k2_isocat_1(B, C, A, D, G), k2_isocat_1(B, C, A, E, G), k2_isocat_1(B, C, A, F, G), k6_isocat_1(B, C, A, D, E, H, G), k6_isocat_1(B, C, A, E, F, I, G))))) <=> (r4_nattra_1(u1_cat_1(B), u2_cat_1(A), u1_cat_1(B), u2_cat_1(A), k6_isocat_1(B, C, A, D, F, k8_nattra_1(B, C, D, E, F, H, I), G), k8_nattra_1(B, A, k2_isocat_1(B, C, A, D, G), k2_isocat_1(B, C, A, E, G), k2_isocat_1(B, C, A, F, G), k6_isocat_1(B, C, A, D, E, H, G), k6_isocat_1(B, C, A, E, F, I, G))) | (~(r2_nattra_1(B, C, D, E) & r2_nattra_1(B, C, E, F))) | (~m2_nattra_1(I, B, C, E, F)))), ((m2_nattra_1(I, B, C, E, F) => ((r2_nattra_1(B, C, D, E) & r2_nattra_1(B, C, E, F)) => r4_nattra_1(u1_cat_1(B), u2_cat_1(A), u1_cat_1(B), u2_cat_1(A), k6_isocat_1(B, C, A, D, F, k8_nattra_1(B, C, D, E, F, H, I), G), k8_nattra_1(B, A, k2_isocat_1(B, C, A, D, G), k2_isocat_1(B, C, A, E, G), k2_isocat_1(B, C, A, F, G), k6_isocat_1(B, C, A, D, E, H, G), k6_isocat_1(B, C, A, E, F, I, G))))) <=> (r4_nattra_1(u1_cat_1(B), u2_cat_1(A), u1_cat_1(B), u2_cat_1(A), k6_isocat_1(B, C, A, D, F, k8_nattra_1(B, C, D, E, F, H, I), G), k8_nattra_1(B, A, k2_isocat_1(B, C, A, D, G), k2_isocat_1(B, C, A, E, G), k2_isocat_1(B, C, A, F, G), k6_isocat_1(B, C, A, D, E, H, G), k6_isocat_1(B, C, A, E, F, I, G))) | (~(r2_nattra_1(B, C, D, E) & r2_nattra_1(B, C, E, F))) | (~m2_nattra_1(I, B, C, E, F)))))), (![I: $i] : (m2_nattra_1(I, B, C, E, F) => ((r2_nattra_1(B, C, D, E) & r2_nattra_1(B, C, E, F)) => r4_nattra_1(u1_cat_1(B), u2_cat_1(A), u1_cat_1(B), u2_cat_1(A), k6_isocat_1(B, C, A, D, F, k8_nattra_1(B, C, D, E, F, H, I), G), k8_nattra_1(B, A, k2_isocat_1(B, C, A, D, G), k2_isocat_1(B, C, A, E, G), k2_isocat_1(B, C, A, F, G), k6_isocat_1(B, C, A, D, E, H, G), k6_isocat_1(B, C, A, E, F, I, G))))) <=> ![I: $i] : (r4_nattra_1(u1_cat_1(B), u2_cat_1(A), u1_cat_1(B), u2_cat_1(A), k6_isocat_1(B, C, A, D, F, k8_nattra_1(B, C, D, E, F, H, I), G), k8_nattra_1(B, A, k2_isocat_1(B, C, A, D, G), k2_isocat_1(B, C, A, E, G), k2_isocat_1(B, C, A, F, G), k6_isocat_1(B, C, A, D, E, H, G), k6_isocat_1(B, C, A, E, F, I, G))) | (~(r2_nattra_1(B, C, D, E) & r2_nattra_1(B, C, E, F))) | (~m2_nattra_1(I, B, C, E, F))))), ((m2_nattra_1(H, B, C, D, E) => ![I: $i] : (m2_nattra_1(I, B, C, E, F) => ((r2_nattra_1(B, C, D, E) & r2_nattra_1(B, C, E, F)) => r4_nattra_1(u1_cat_1(B), u2_cat_1(A), u1_cat_1(B), u2_cat_1(A), k6_isocat_1(B, C, A, D, F, k8_nattra_1(B, C, D, E, F, H, I), G), k8_nattra_1(B, A, k2_isocat_1(B, C, A, D, G), k2_isocat_1(B, C, A, E, G), k2_isocat_1(B, C, A, F, G), k6_isocat_1(B, C, A, D, E, H, G), k6_isocat_1(B, C, A, E, F, I, G)))))) <=> (m2_nattra_1(H, B, C, D, E) => ![I: $i] : (r4_nattra_1(u1_cat_1(B), u2_cat_1(A), u1_cat_1(B), u2_cat_1(A), k6_isocat_1(B, C, A, D, F, k8_nattra_1(B, C, D, E, F, H, I), G), k8_nattra_1(B, A, k2_isocat_1(B, C, A, D, G), k2_isocat_1(B, C, A, E, G), k2_isocat_1(B, C, A, F, G), k6_isocat_1(B, C, A, D, E, H, G), k6_isocat_1(B, C, A, E, F, I, G))) | (~(r2_nattra_1(B, C, D, E) & r2_nattra_1(B, C, E, F))) | (~m2_nattra_1(I, B, C, E, F)))))), rewrite((m2_nattra_1(H, B, C, D, E) => ![I: $i] : (r4_nattra_1(u1_cat_1(B), u2_cat_1(A), u1_cat_1(B), u2_cat_1(A), k6_isocat_1(B, C, A, D, F, k8_nattra_1(B, C, D, E, F, H, I), G), k8_nattra_1(B, A, k2_isocat_1(B, C, A, D, G), k2_isocat_1(B, C, A, E, G), k2_isocat_1(B, C, A, F, G), k6_isocat_1(B, C, A, D, E, H, G), k6_isocat_1(B, C, A, E, F, I, G))) | (~(r2_nattra_1(B, C, D, E) & r2_nattra_1(B, C, E, F))) | (~m2_nattra_1(I, B, C, E, F)))) <=> ((~m2_nattra_1(H, B, C, D, E)) | ![I: $i] : (r4_nattra_1(u1_cat_1(B), u2_cat_1(A), u1_cat_1(B), u2_cat_1(A), k6_isocat_1(B, C, A, D, F, k8_nattra_1(B, C, D, E, F, H, I), G), k8_nattra_1(B, A, k2_isocat_1(B, C, A, D, G), k2_isocat_1(B, C, A, E, G), k2_isocat_1(B, C, A, F, G), k6_isocat_1(B, C, A, D, E, H, G), k6_isocat_1(B, C, A, E, F, I, G))) | (~(r2_nattra_1(B, C, D, E) & r2_nattra_1(B, C, E, F))) | (~m2_nattra_1(I, B, C, E, F))))), ((m2_nattra_1(H, B, C, D, E) => ![I: $i] : (m2_nattra_1(I, B, C, E, F) => ((r2_nattra_1(B, C, D, E) & r2_nattra_1(B, C, E, F)) => r4_nattra_1(u1_cat_1(B), u2_cat_1(A), u1_cat_1(B), u2_cat_1(A), k6_isocat_1(B, C, A, D, F, k8_nattra_1(B, C, D, E, F, H, I), G), k8_nattra_1(B, A, k2_isocat_1(B, C, A, D, G), k2_isocat_1(B, C, A, E, G), k2_isocat_1(B, C, A, F, G), k6_isocat_1(B, C, A, D, E, H, G), k6_isocat_1(B, C, A, E, F, I, G)))))) <=> ((~m2_nattra_1(H, B, C, D, E)) | ![I: $i] : (r4_nattra_1(u1_cat_1(B), u2_cat_1(A), u1_cat_1(B), u2_cat_1(A), k6_isocat_1(B, C, A, D, F, k8_nattra_1(B, C, D, E, F, H, I), G), k8_nattra_1(B, A, k2_isocat_1(B, C, A, D, G), k2_isocat_1(B, C, A, E, G), k2_isocat_1(B, C, A, F, G), k6_isocat_1(B, C, A, D, E, H, G), k6_isocat_1(B, C, A, E, F, I, G))) | (~(r2_nattra_1(B, C, D, E) & r2_nattra_1(B, C, E, F))) | (~m2_nattra_1(I, B, C, E, F))))))), (![H: $i] : (m2_nattra_1(H, B, C, D, E) => ![I: $i] : (m2_nattra_1(I, B, C, E, F) => ((r2_nattra_1(B, C, D, E) & r2_nattra_1(B, C, E, F)) => r4_nattra_1(u1_cat_1(B), u2_cat_1(A), u1_cat_1(B), u2_cat_1(A), k6_isocat_1(B, C, A, D, F, k8_nattra_1(B, C, D, E, F, H, I), G), k8_nattra_1(B, A, k2_isocat_1(B, C, A, D, G), k2_isocat_1(B, C, A, E, G), k2_isocat_1(B, C, A, F, G), k6_isocat_1(B, C, A, D, E, H, G), k6_isocat_1(B, C, A, E, F, I, G)))))) <=> ![H: $i] : ((~m2_nattra_1(H, B, C, D, E)) | ![I: $i] : (r4_nattra_1(u1_cat_1(B), u2_cat_1(A), u1_cat_1(B), u2_cat_1(A), k6_isocat_1(B, C, A, D, F, k8_nattra_1(B, C, D, E, F, H, I), G), k8_nattra_1(B, A, k2_isocat_1(B, C, A, D, G), k2_isocat_1(B, C, A, E, G), k2_isocat_1(B, C, A, F, G), k6_isocat_1(B, C, A, D, E, H, G), k6_isocat_1(B, C, A, E, F, I, G))) | (~(r2_nattra_1(B, C, D, E) & r2_nattra_1(B, C, E, F))) | (~m2_nattra_1(I, B, C, E, F)))))), ((m2_cat_1(G, C, A) => ![H: $i] : (m2_nattra_1(H, B, C, D, E) => ![I: $i] : (m2_nattra_1(I, B, C, E, F) => ((r2_nattra_1(B, C, D, E) & r2_nattra_1(B, C, E, F)) => r4_nattra_1(u1_cat_1(B), u2_cat_1(A), u1_cat_1(B), u2_cat_1(A), k6_isocat_1(B, C, A, D, F, k8_nattra_1(B, C, D, E, F, H, I), G), k8_nattra_1(B, A, k2_isocat_1(B, C, A, D, G), k2_isocat_1(B, C, A, E, G), k2_isocat_1(B, C, A, F, G), k6_isocat_1(B, C, A, D, E, H, G), k6_isocat_1(B, C, A, E, F, I, G))))))) <=> (m2_cat_1(G, C, A) => ![H: $i] : ((~m2_nattra_1(H, B, C, D, E)) | ![I: $i] : (r4_nattra_1(u1_cat_1(B), u2_cat_1(A), u1_cat_1(B), u2_cat_1(A), k6_isocat_1(B, C, A, D, F, k8_nattra_1(B, C, D, E, F, H, I), G), k8_nattra_1(B, A, k2_isocat_1(B, C, A, D, G), k2_isocat_1(B, C, A, E, G), k2_isocat_1(B, C, A, F, G), k6_isocat_1(B, C, A, D, E, H, G), k6_isocat_1(B, C, A, E, F, I, G))) | (~(r2_nattra_1(B, C, D, E) & r2_nattra_1(B, C, E, F))) | (~m2_nattra_1(I, B, C, E, F))))))), rewrite((m2_cat_1(G, C, A) => ![H: $i] : ((~m2_nattra_1(H, B, C, D, E)) | ![I: $i] : (r4_nattra_1(u1_cat_1(B), u2_cat_1(A), u1_cat_1(B), u2_cat_1(A), k6_isocat_1(B, C, A, D, F, k8_nattra_1(B, C, D, E, F, H, I), G), k8_nattra_1(B, A, k2_isocat_1(B, C, A, D, G), k2_isocat_1(B, C, A, E, G), k2_isocat_1(B, C, A, F, G), k6_isocat_1(B, C, A, D, E, H, G), k6_isocat_1(B, C, A, E, F, I, G))) | (~(r2_nattra_1(B, C, D, E) & r2_nattra_1(B, C, E, F))) | (~m2_nattra_1(I, B, C, E, F))))) <=> ((~m2_cat_1(G, C, A)) | ![H: $i] : ((~m2_nattra_1(H, B, C, D, E)) | ![I: $i] : (r4_nattra_1(u1_cat_1(B), u2_cat_1(A), u1_cat_1(B), u2_cat_1(A), k6_isocat_1(B, C, A, D, F, k8_nattra_1(B, C, D, E, F, H, I), G), k8_nattra_1(B, A, k2_isocat_1(B, C, A, D, G), k2_isocat_1(B, C, A, E, G), k2_isocat_1(B, C, A, F, G), k6_isocat_1(B, C, A, D, E, H, G), k6_isocat_1(B, C, A, E, F, I, G))) | (~(r2_nattra_1(B, C, D, E) & r2_nattra_1(B, C, E, F))) | (~m2_nattra_1(I, B, C, E, F)))))), ((m2_cat_1(G, C, A) => ![H: $i] : (m2_nattra_1(H, B, C, D, E) => ![I: $i] : (m2_nattra_1(I, B, C, E, F) => ((r2_nattra_1(B, C, D, E) & r2_nattra_1(B, C, E, F)) => r4_nattra_1(u1_cat_1(B), u2_cat_1(A), u1_cat_1(B), u2_cat_1(A), k6_isocat_1(B, C, A, D, F, k8_nattra_1(B, C, D, E, F, H, I), G), k8_nattra_1(B, A, k2_isocat_1(B, C, A, D, G), k2_isocat_1(B, C, A, E, G), k2_isocat_1(B, C, A, F, G), k6_isocat_1(B, C, A, D, E, H, G), k6_isocat_1(B, C, A, E, F, I, G))))))) <=> ((~m2_cat_1(G, C, A)) | ![H: $i] : ((~m2_nattra_1(H, B, C, D, E)) | ![I: $i] : (r4_nattra_1(u1_cat_1(B), u2_cat_1(A), u1_cat_1(B), u2_cat_1(A), k6_isocat_1(B, C, A, D, F, k8_nattra_1(B, C, D, E, F, H, I), G), k8_nattra_1(B, A, k2_isocat_1(B, C, A, D, G), k2_isocat_1(B, C, A, E, G), k2_isocat_1(B, C, A, F, G), k6_isocat_1(B, C, A, D, E, H, G), k6_isocat_1(B, C, A, E, F, I, G))) | (~(r2_nattra_1(B, C, D, E) & r2_nattra_1(B, C, E, F))) | (~m2_nattra_1(I, B, C, E, F)))))))), (![G: $i] : (m2_cat_1(G, C, A) => ![H: $i] : (m2_nattra_1(H, B, C, D, E) => ![I: $i] : (m2_nattra_1(I, B, C, E, F) => ((r2_nattra_1(B, C, D, E) & r2_nattra_1(B, C, E, F)) => r4_nattra_1(u1_cat_1(B), u2_cat_1(A), u1_cat_1(B), u2_cat_1(A), k6_isocat_1(B, C, A, D, F, k8_nattra_1(B, C, D, E, F, H, I), G), k8_nattra_1(B, A, k2_isocat_1(B, C, A, D, G), k2_isocat_1(B, C, A, E, G), k2_isocat_1(B, C, A, F, G), k6_isocat_1(B, C, A, D, E, H, G), k6_isocat_1(B, C, A, E, F, I, G))))))) <=> ![G: $i] : ((~m2_cat_1(G, C, A)) | ![H: $i] : ((~m2_nattra_1(H, B, C, D, E)) | ![I: $i] : (r4_nattra_1(u1_cat_1(B), u2_cat_1(A), u1_cat_1(B), u2_cat_1(A), k6_isocat_1(B, C, A, D, F, k8_nattra_1(B, C, D, E, F, H, I), G), k8_nattra_1(B, A, k2_isocat_1(B, C, A, D, G), k2_isocat_1(B, C, A, E, G), k2_isocat_1(B, C, A, F, G), k6_isocat_1(B, C, A, D, E, H, G), k6_isocat_1(B, C, A, E, F, I, G))) | (~(r2_nattra_1(B, C, D, E) & r2_nattra_1(B, C, E, F))) | (~m2_nattra_1(I, B, C, E, F))))))), ((m2_cat_1(F, B, C) => ![G: $i] : (m2_cat_1(G, C, A) => ![H: $i] : (m2_nattra_1(H, B, C, D, E) => ![I: $i] : (m2_nattra_1(I, B, C, E, F) => ((r2_nattra_1(B, C, D, E) & r2_nattra_1(B, C, E, F)) => r4_nattra_1(u1_cat_1(B), u2_cat_1(A), u1_cat_1(B), u2_cat_1(A), k6_isocat_1(B, C, A, D, F, k8_nattra_1(B, C, D, E, F, H, I), G), k8_nattra_1(B, A, k2_isocat_1(B, C, A, D, G), k2_isocat_1(B, C, A, E, G), k2_isocat_1(B, C, A, F, G), k6_isocat_1(B, C, A, D, E, H, G), k6_isocat_1(B, C, A, E, F, I, G)))))))) <=> (m2_cat_1(F, B, C) => ![G: $i] : ((~m2_cat_1(G, C, A)) | ![H: $i] : ((~m2_nattra_1(H, B, C, D, E)) | ![I: $i] : (r4_nattra_1(u1_cat_1(B), u2_cat_1(A), u1_cat_1(B), u2_cat_1(A), k6_isocat_1(B, C, A, D, F, k8_nattra_1(B, C, D, E, F, H, I), G), k8_nattra_1(B, A, k2_isocat_1(B, C, A, D, G), k2_isocat_1(B, C, A, E, G), k2_isocat_1(B, C, A, F, G), k6_isocat_1(B, C, A, D, E, H, G), k6_isocat_1(B, C, A, E, F, I, G))) | (~(r2_nattra_1(B, C, D, E) & r2_nattra_1(B, C, E, F))) | (~m2_nattra_1(I, B, C, E, F)))))))), rewrite((m2_cat_1(F, B, C) => ![G: $i] : ((~m2_cat_1(G, C, A)) | ![H: $i] : ((~m2_nattra_1(H, B, C, D, E)) | ![I: $i] : (r4_nattra_1(u1_cat_1(B), u2_cat_1(A), u1_cat_1(B), u2_cat_1(A), k6_isocat_1(B, C, A, D, F, k8_nattra_1(B, C, D, E, F, H, I), G), k8_nattra_1(B, A, k2_isocat_1(B, C, A, D, G), k2_isocat_1(B, C, A, E, G), k2_isocat_1(B, C, A, F, G), k6_isocat_1(B, C, A, D, E, H, G), k6_isocat_1(B, C, A, E, F, I, G))) | (~(r2_nattra_1(B, C, D, E) & r2_nattra_1(B, C, E, F))) | (~m2_nattra_1(I, B, C, E, F)))))) <=> ((~m2_cat_1(F, B, C)) | ![G: $i] : ((~m2_cat_1(G, C, A)) | ![H: $i] : ((~m2_nattra_1(H, B, C, D, E)) | ![I: $i] : (r4_nattra_1(u1_cat_1(B), u2_cat_1(A), u1_cat_1(B), u2_cat_1(A), k6_isocat_1(B, C, A, D, F, k8_nattra_1(B, C, D, E, F, H, I), G), k8_nattra_1(B, A, k2_isocat_1(B, C, A, D, G), k2_isocat_1(B, C, A, E, G), k2_isocat_1(B, C, A, F, G), k6_isocat_1(B, C, A, D, E, H, G), k6_isocat_1(B, C, A, E, F, I, G))) | (~(r2_nattra_1(B, C, D, E) & r2_nattra_1(B, C, E, F))) | (~m2_nattra_1(I, B, C, E, F))))))), ((m2_cat_1(F, B, C) => ![G: $i] : (m2_cat_1(G, C, A) => ![H: $i] : (m2_nattra_1(H, B, C, D, E) => ![I: $i] : (m2_nattra_1(I, B, C, E, F) => ((r2_nattra_1(B, C, D, E) & r2_nattra_1(B, C, E, F)) => r4_nattra_1(u1_cat_1(B), u2_cat_1(A), u1_cat_1(B), u2_cat_1(A), k6_isocat_1(B, C, A, D, F, k8_nattra_1(B, C, D, E, F, H, I), G), k8_nattra_1(B, A, k2_isocat_1(B, C, A, D, G), k2_isocat_1(B, C, A, E, G), k2_isocat_1(B, C, A, F, G), k6_isocat_1(B, C, A, D, E, H, G), k6_isocat_1(B, C, A, E, F, I, G)))))))) <=> ((~m2_cat_1(F, B, C)) | ![G: $i] : ((~m2_cat_1(G, C, A)) | ![H: $i] : ((~m2_nattra_1(H, B, C, D, E)) | ![I: $i] : (r4_nattra_1(u1_cat_1(B), u2_cat_1(A), u1_cat_1(B), u2_cat_1(A), k6_isocat_1(B, C, A, D, F, k8_nattra_1(B, C, D, E, F, H, I), G), k8_nattra_1(B, A, k2_isocat_1(B, C, A, D, G), k2_isocat_1(B, C, A, E, G), k2_isocat_1(B, C, A, F, G), k6_isocat_1(B, C, A, D, E, H, G), k6_isocat_1(B, C, A, E, F, I, G))) | (~(r2_nattra_1(B, C, D, E) & r2_nattra_1(B, C, E, F))) | (~m2_nattra_1(I, B, C, E, F))))))))), (![F: $i] : (m2_cat_1(F, B, C) => ![G: $i] : (m2_cat_1(G, C, A) => ![H: $i] : (m2_nattra_1(H, B, C, D, E) => ![I: $i] : (m2_nattra_1(I, B, C, E, F) => ((r2_nattra_1(B, C, D, E) & r2_nattra_1(B, C, E, F)) => r4_nattra_1(u1_cat_1(B), u2_cat_1(A), u1_cat_1(B), u2_cat_1(A), k6_isocat_1(B, C, A, D, F, k8_nattra_1(B, C, D, E, F, H, I), G), k8_nattra_1(B, A, k2_isocat_1(B, C, A, D, G), k2_isocat_1(B, C, A, E, G), k2_isocat_1(B, C, A, F, G), k6_isocat_1(B, C, A, D, E, H, G), k6_isocat_1(B, C, A, E, F, I, G)))))))) <=> ![F: $i] : ((~m2_cat_1(F, B, C)) | ![G: $i] : ((~m2_cat_1(G, C, A)) | ![H: $i] : ((~m2_nattra_1(H, B, C, D, E)) | ![I: $i] : (r4_nattra_1(u1_cat_1(B), u2_cat_1(A), u1_cat_1(B), u2_cat_1(A), k6_isocat_1(B, C, A, D, F, k8_nattra_1(B, C, D, E, F, H, I), G), k8_nattra_1(B, A, k2_isocat_1(B, C, A, D, G), k2_isocat_1(B, C, A, E, G), k2_isocat_1(B, C, A, F, G), k6_isocat_1(B, C, A, D, E, H, G), k6_isocat_1(B, C, A, E, F, I, G))) | (~(r2_nattra_1(B, C, D, E) & r2_nattra_1(B, C, E, F))) | (~m2_nattra_1(I, B, C, E, F)))))))), ((m2_cat_1(E, B, C) => ![F: $i] : (m2_cat_1(F, B, C) => ![G: $i] : (m2_cat_1(G, C, A) => ![H: $i] : (m2_nattra_1(H, B, C, D, E) => ![I: $i] : (m2_nattra_1(I, B, C, E, F) => ((r2_nattra_1(B, C, D, E) & r2_nattra_1(B, C, E, F)) => r4_nattra_1(u1_cat_1(B), u2_cat_1(A), u1_cat_1(B), u2_cat_1(A), k6_isocat_1(B, C, A, D, F, k8_nattra_1(B, C, D, E, F, H, I), G), k8_nattra_1(B, A, k2_isocat_1(B, C, A, D, G), k2_isocat_1(B, C, A, E, G), k2_isocat_1(B, C, A, F, G), k6_isocat_1(B, C, A, D, E, H, G), k6_isocat_1(B, C, A, E, F, I, G))))))))) <=> (m2_cat_1(E, B, C) => ![F: $i] : ((~m2_cat_1(F, B, C)) | ![G: $i] : ((~m2_cat_1(G, C, A)) | ![H: $i] : ((~m2_nattra_1(H, B, C, D, E)) | ![I: $i] : (r4_nattra_1(u1_cat_1(B), u2_cat_1(A), u1_cat_1(B), u2_cat_1(A), k6_isocat_1(B, C, A, D, F, k8_nattra_1(B, C, D, E, F, H, I), G), k8_nattra_1(B, A, k2_isocat_1(B, C, A, D, G), k2_isocat_1(B, C, A, E, G), k2_isocat_1(B, C, A, F, G), k6_isocat_1(B, C, A, D, E, H, G), k6_isocat_1(B, C, A, E, F, I, G))) | (~(r2_nattra_1(B, C, D, E) & r2_nattra_1(B, C, E, F))) | (~m2_nattra_1(I, B, C, E, F))))))))), rewrite((m2_cat_1(E, B, C) => ![F: $i] : ((~m2_cat_1(F, B, C)) | ![G: $i] : ((~m2_cat_1(G, C, A)) | ![H: $i] : ((~m2_nattra_1(H, B, C, D, E)) | ![I: $i] : (r4_nattra_1(u1_cat_1(B), u2_cat_1(A), u1_cat_1(B), u2_cat_1(A), k6_isocat_1(B, C, A, D, F, k8_nattra_1(B, C, D, E, F, H, I), G), k8_nattra_1(B, A, k2_isocat_1(B, C, A, D, G), k2_isocat_1(B, C, A, E, G), k2_isocat_1(B, C, A, F, G), k6_isocat_1(B, C, A, D, E, H, G), k6_isocat_1(B, C, A, E, F, I, G))) | (~(r2_nattra_1(B, C, D, E) & r2_nattra_1(B, C, E, F))) | (~m2_nattra_1(I, B, C, E, F))))))) <=> ((~m2_cat_1(E, B, C)) | ![F: $i] : ((~m2_cat_1(F, B, C)) | ![G: $i] : ((~m2_cat_1(G, C, A)) | ![H: $i] : ((~m2_nattra_1(H, B, C, D, E)) | ![I: $i] : (r4_nattra_1(u1_cat_1(B), u2_cat_1(A), u1_cat_1(B), u2_cat_1(A), k6_isocat_1(B, C, A, D, F, k8_nattra_1(B, C, D, E, F, H, I), G), k8_nattra_1(B, A, k2_isocat_1(B, C, A, D, G), k2_isocat_1(B, C, A, E, G), k2_isocat_1(B, C, A, F, G), k6_isocat_1(B, C, A, D, E, H, G), k6_isocat_1(B, C, A, E, F, I, G))) | (~(r2_nattra_1(B, C, D, E) & r2_nattra_1(B, C, E, F))) | (~m2_nattra_1(I, B, C, E, F)))))))), ((m2_cat_1(E, B, C) => ![F: $i] : (m2_cat_1(F, B, C) => ![G: $i] : (m2_cat_1(G, C, A) => ![H: $i] : (m2_nattra_1(H, B, C, D, E) => ![I: $i] : (m2_nattra_1(I, B, C, E, F) => ((r2_nattra_1(B, C, D, E) & r2_nattra_1(B, C, E, F)) => r4_nattra_1(u1_cat_1(B), u2_cat_1(A), u1_cat_1(B), u2_cat_1(A), k6_isocat_1(B, C, A, D, F, k8_nattra_1(B, C, D, E, F, H, I), G), k8_nattra_1(B, A, k2_isocat_1(B, C, A, D, G), k2_isocat_1(B, C, A, E, G), k2_isocat_1(B, C, A, F, G), k6_isocat_1(B, C, A, D, E, H, G), k6_isocat_1(B, C, A, E, F, I, G))))))))) <=> ((~m2_cat_1(E, B, C)) | ![F: $i] : ((~m2_cat_1(F, B, C)) | ![G: $i] : ((~m2_cat_1(G, C, A)) | ![H: $i] : ((~m2_nattra_1(H, B, C, D, E)) | ![I: $i] : (r4_nattra_1(u1_cat_1(B), u2_cat_1(A), u1_cat_1(B), u2_cat_1(A), k6_isocat_1(B, C, A, D, F, k8_nattra_1(B, C, D, E, F, H, I), G), k8_nattra_1(B, A, k2_isocat_1(B, C, A, D, G), k2_isocat_1(B, C, A, E, G), k2_isocat_1(B, C, A, F, G), k6_isocat_1(B, C, A, D, E, H, G), k6_isocat_1(B, C, A, E, F, I, G))) | (~(r2_nattra_1(B, C, D, E) & r2_nattra_1(B, C, E, F))) | (~m2_nattra_1(I, B, C, E, F)))))))))), (![E: $i] : (m2_cat_1(E, B, C) => ![F: $i] : (m2_cat_1(F, B, C) => ![G: $i] : (m2_cat_1(G, C, A) => ![H: $i] : (m2_nattra_1(H, B, C, D, E) => ![I: $i] : (m2_nattra_1(I, B, C, E, F) => ((r2_nattra_1(B, C, D, E) & r2_nattra_1(B, C, E, F)) => r4_nattra_1(u1_cat_1(B), u2_cat_1(A), u1_cat_1(B), u2_cat_1(A), k6_isocat_1(B, C, A, D, F, k8_nattra_1(B, C, D, E, F, H, I), G), k8_nattra_1(B, A, k2_isocat_1(B, C, A, D, G), k2_isocat_1(B, C, A, E, G), k2_isocat_1(B, C, A, F, G), k6_isocat_1(B, C, A, D, E, H, G), k6_isocat_1(B, C, A, E, F, I, G))))))))) <=> ![E: $i] : ((~m2_cat_1(E, B, C)) | ![F: $i] : ((~m2_cat_1(F, B, C)) | ![G: $i] : ((~m2_cat_1(G, C, A)) | ![H: $i] : ((~m2_nattra_1(H, B, C, D, E)) | ![I: $i] : (r4_nattra_1(u1_cat_1(B), u2_cat_1(A), u1_cat_1(B), u2_cat_1(A), k6_isocat_1(B, C, A, D, F, k8_nattra_1(B, C, D, E, F, H, I), G), k8_nattra_1(B, A, k2_isocat_1(B, C, A, D, G), k2_isocat_1(B, C, A, E, G), k2_isocat_1(B, C, A, F, G), k6_isocat_1(B, C, A, D, E, H, G), k6_isocat_1(B, C, A, E, F, I, G))) | (~(r2_nattra_1(B, C, D, E) & r2_nattra_1(B, C, E, F))) | (~m2_nattra_1(I, B, C, E, F))))))))), ((m2_cat_1(D, B, C) => ![E: $i] : (m2_cat_1(E, B, C) => ![F: $i] : (m2_cat_1(F, B, C) => ![G: $i] : (m2_cat_1(G, C, A) => ![H: $i] : (m2_nattra_1(H, B, C, D, E) => ![I: $i] : (m2_nattra_1(I, B, C, E, F) => ((r2_nattra_1(B, C, D, E) & r2_nattra_1(B, C, E, F)) => r4_nattra_1(u1_cat_1(B), u2_cat_1(A), u1_cat_1(B), u2_cat_1(A), k6_isocat_1(B, C, A, D, F, k8_nattra_1(B, C, D, E, F, H, I), G), k8_nattra_1(B, A, k2_isocat_1(B, C, A, D, G), k2_isocat_1(B, C, A, E, G), k2_isocat_1(B, C, A, F, G), k6_isocat_1(B, C, A, D, E, H, G), k6_isocat_1(B, C, A, E, F, I, G)))))))))) <=> (m2_cat_1(D, B, C) => ![E: $i] : ((~m2_cat_1(E, B, C)) | ![F: $i] : ((~m2_cat_1(F, B, C)) | ![G: $i] : ((~m2_cat_1(G, C, A)) | ![H: $i] : ((~m2_nattra_1(H, B, C, D, E)) | ![I: $i] : (r4_nattra_1(u1_cat_1(B), u2_cat_1(A), u1_cat_1(B), u2_cat_1(A), k6_isocat_1(B, C, A, D, F, k8_nattra_1(B, C, D, E, F, H, I), G), k8_nattra_1(B, A, k2_isocat_1(B, C, A, D, G), k2_isocat_1(B, C, A, E, G), k2_isocat_1(B, C, A, F, G), k6_isocat_1(B, C, A, D, E, H, G), k6_isocat_1(B, C, A, E, F, I, G))) | (~(r2_nattra_1(B, C, D, E) & r2_nattra_1(B, C, E, F))) | (~m2_nattra_1(I, B, C, E, F)))))))))), rewrite((m2_cat_1(D, B, C) => ![E: $i] : ((~m2_cat_1(E, B, C)) | ![F: $i] : ((~m2_cat_1(F, B, C)) | ![G: $i] : ((~m2_cat_1(G, C, A)) | ![H: $i] : ((~m2_nattra_1(H, B, C, D, E)) | ![I: $i] : (r4_nattra_1(u1_cat_1(B), u2_cat_1(A), u1_cat_1(B), u2_cat_1(A), k6_isocat_1(B, C, A, D, F, k8_nattra_1(B, C, D, E, F, H, I), G), k8_nattra_1(B, A, k2_isocat_1(B, C, A, D, G), k2_isocat_1(B, C, A, E, G), k2_isocat_1(B, C, A, F, G), k6_isocat_1(B, C, A, D, E, H, G), k6_isocat_1(B, C, A, E, F, I, G))) | (~(r2_nattra_1(B, C, D, E) & r2_nattra_1(B, C, E, F))) | (~m2_nattra_1(I, B, C, E, F)))))))) <=> ((~m2_cat_1(D, B, C)) | ![E: $i] : ((~m2_cat_1(E, B, C)) | ![F: $i] : ((~m2_cat_1(F, B, C)) | ![G: $i] : ((~m2_cat_1(G, C, A)) | ![H: $i] : ((~m2_nattra_1(H, B, C, D, E)) | ![I: $i] : (r4_nattra_1(u1_cat_1(B), u2_cat_1(A), u1_cat_1(B), u2_cat_1(A), k6_isocat_1(B, C, A, D, F, k8_nattra_1(B, C, D, E, F, H, I), G), k8_nattra_1(B, A, k2_isocat_1(B, C, A, D, G), k2_isocat_1(B, C, A, E, G), k2_isocat_1(B, C, A, F, G), k6_isocat_1(B, C, A, D, E, H, G), k6_isocat_1(B, C, A, E, F, I, G))) | (~(r2_nattra_1(B, C, D, E) & r2_nattra_1(B, C, E, F))) | (~m2_nattra_1(I, B, C, E, F))))))))), ((m2_cat_1(D, B, C) => ![E: $i] : (m2_cat_1(E, B, C) => ![F: $i] : (m2_cat_1(F, B, C) => ![G: $i] : (m2_cat_1(G, C, A) => ![H: $i] : (m2_nattra_1(H, B, C, D, E) => ![I: $i] : (m2_nattra_1(I, B, C, E, F) => ((r2_nattra_1(B, C, D, E) & r2_nattra_1(B, C, E, F)) => r4_nattra_1(u1_cat_1(B), u2_cat_1(A), u1_cat_1(B), u2_cat_1(A), k6_isocat_1(B, C, A, D, F, k8_nattra_1(B, C, D, E, F, H, I), G), k8_nattra_1(B, A, k2_isocat_1(B, C, A, D, G), k2_isocat_1(B, C, A, E, G), k2_isocat_1(B, C, A, F, G), k6_isocat_1(B, C, A, D, E, H, G), k6_isocat_1(B, C, A, E, F, I, G)))))))))) <=> ((~m2_cat_1(D, B, C)) | ![E: $i] : ((~m2_cat_1(E, B, C)) | ![F: $i] : ((~m2_cat_1(F, B, C)) | ![G: $i] : ((~m2_cat_1(G, C, A)) | ![H: $i] : ((~m2_nattra_1(H, B, C, D, E)) | ![I: $i] : (r4_nattra_1(u1_cat_1(B), u2_cat_1(A), u1_cat_1(B), u2_cat_1(A), k6_isocat_1(B, C, A, D, F, k8_nattra_1(B, C, D, E, F, H, I), G), k8_nattra_1(B, A, k2_isocat_1(B, C, A, D, G), k2_isocat_1(B, C, A, E, G), k2_isocat_1(B, C, A, F, G), k6_isocat_1(B, C, A, D, E, H, G), k6_isocat_1(B, C, A, E, F, I, G))) | (~(r2_nattra_1(B, C, D, E) & r2_nattra_1(B, C, E, F))) | (~m2_nattra_1(I, B, C, E, F))))))))))), (![D: $i] : (m2_cat_1(D, B, C) => ![E: $i] : (m2_cat_1(E, B, C) => ![F: $i] : (m2_cat_1(F, B, C) => ![G: $i] : (m2_cat_1(G, C, A) => ![H: $i] : (m2_nattra_1(H, B, C, D, E) => ![I: $i] : (m2_nattra_1(I, B, C, E, F) => ((r2_nattra_1(B, C, D, E) & r2_nattra_1(B, C, E, F)) => r4_nattra_1(u1_cat_1(B), u2_cat_1(A), u1_cat_1(B), u2_cat_1(A), k6_isocat_1(B, C, A, D, F, k8_nattra_1(B, C, D, E, F, H, I), G), k8_nattra_1(B, A, k2_isocat_1(B, C, A, D, G), k2_isocat_1(B, C, A, E, G), k2_isocat_1(B, C, A, F, G), k6_isocat_1(B, C, A, D, E, H, G), k6_isocat_1(B, C, A, E, F, I, G)))))))))) <=> ![D: $i] : ((~m2_cat_1(D, B, C)) | ![E: $i] : ((~m2_cat_1(E, B, C)) | ![F: $i] : ((~m2_cat_1(F, B, C)) | ![G: $i] : ((~m2_cat_1(G, C, A)) | ![H: $i] : ((~m2_nattra_1(H, B, C, D, E)) | ![I: $i] : (r4_nattra_1(u1_cat_1(B), u2_cat_1(A), u1_cat_1(B), u2_cat_1(A), k6_isocat_1(B, C, A, D, F, k8_nattra_1(B, C, D, E, F, H, I), G), k8_nattra_1(B, A, k2_isocat_1(B, C, A, D, G), k2_isocat_1(B, C, A, E, G), k2_isocat_1(B, C, A, F, G), k6_isocat_1(B, C, A, D, E, H, G), k6_isocat_1(B, C, A, E, F, I, G))) | (~(r2_nattra_1(B, C, D, E) & r2_nattra_1(B, C, E, F))) | (~m2_nattra_1(I, B, C, E, F)))))))))), (((v2_cat_1(C) & l1_cat_1(C)) => ![D: $i] : (m2_cat_1(D, B, C) => ![E: $i] : (m2_cat_1(E, B, C) => ![F: $i] : (m2_cat_1(F, B, C) => ![G: $i] : (m2_cat_1(G, C, A) => ![H: $i] : (m2_nattra_1(H, B, C, D, E) => ![I: $i] : (m2_nattra_1(I, B, C, E, F) => ((r2_nattra_1(B, C, D, E) & r2_nattra_1(B, C, E, F)) => r4_nattra_1(u1_cat_1(B), u2_cat_1(A), u1_cat_1(B), u2_cat_1(A), k6_isocat_1(B, C, A, D, F, k8_nattra_1(B, C, D, E, F, H, I), G), k8_nattra_1(B, A, k2_isocat_1(B, C, A, D, G), k2_isocat_1(B, C, A, E, G), k2_isocat_1(B, C, A, F, G), k6_isocat_1(B, C, A, D, E, H, G), k6_isocat_1(B, C, A, E, F, I, G))))))))))) <=> ((v2_cat_1(C) & l1_cat_1(C)) => ![D: $i] : ((~m2_cat_1(D, B, C)) | ![E: $i] : ((~m2_cat_1(E, B, C)) | ![F: $i] : ((~m2_cat_1(F, B, C)) | ![G: $i] : ((~m2_cat_1(G, C, A)) | ![H: $i] : ((~m2_nattra_1(H, B, C, D, E)) | ![I: $i] : (r4_nattra_1(u1_cat_1(B), u2_cat_1(A), u1_cat_1(B), u2_cat_1(A), k6_isocat_1(B, C, A, D, F, k8_nattra_1(B, C, D, E, F, H, I), G), k8_nattra_1(B, A, k2_isocat_1(B, C, A, D, G), k2_isocat_1(B, C, A, E, G), k2_isocat_1(B, C, A, F, G), k6_isocat_1(B, C, A, D, E, H, G), k6_isocat_1(B, C, A, E, F, I, G))) | (~(r2_nattra_1(B, C, D, E) & r2_nattra_1(B, C, E, F))) | (~m2_nattra_1(I, B, C, E, F))))))))))), rewrite(((v2_cat_1(C) & l1_cat_1(C)) => ![D: $i] : ((~m2_cat_1(D, B, C)) | ![E: $i] : ((~m2_cat_1(E, B, C)) | ![F: $i] : ((~m2_cat_1(F, B, C)) | ![G: $i] : ((~m2_cat_1(G, C, A)) | ![H: $i] : ((~m2_nattra_1(H, B, C, D, E)) | ![I: $i] : (r4_nattra_1(u1_cat_1(B), u2_cat_1(A), u1_cat_1(B), u2_cat_1(A), k6_isocat_1(B, C, A, D, F, k8_nattra_1(B, C, D, E, F, H, I), G), k8_nattra_1(B, A, k2_isocat_1(B, C, A, D, G), k2_isocat_1(B, C, A, E, G), k2_isocat_1(B, C, A, F, G), k6_isocat_1(B, C, A, D, E, H, G), k6_isocat_1(B, C, A, E, F, I, G))) | (~(r2_nattra_1(B, C, D, E) & r2_nattra_1(B, C, E, F))) | (~m2_nattra_1(I, B, C, E, F))))))))) <=> ((~(v2_cat_1(C) & l1_cat_1(C))) | ![D: $i] : ((~m2_cat_1(D, B, C)) | ![E: $i] : ((~m2_cat_1(E, B, C)) | ![F: $i] : ((~m2_cat_1(F, B, C)) | ![G: $i] : ((~m2_cat_1(G, C, A)) | ![H: $i] : ((~m2_nattra_1(H, B, C, D, E)) | ![I: $i] : (r4_nattra_1(u1_cat_1(B), u2_cat_1(A), u1_cat_1(B), u2_cat_1(A), k6_isocat_1(B, C, A, D, F, k8_nattra_1(B, C, D, E, F, H, I), G), k8_nattra_1(B, A, k2_isocat_1(B, C, A, D, G), k2_isocat_1(B, C, A, E, G), k2_isocat_1(B, C, A, F, G), k6_isocat_1(B, C, A, D, E, H, G), k6_isocat_1(B, C, A, E, F, I, G))) | (~(r2_nattra_1(B, C, D, E) & r2_nattra_1(B, C, E, F))) | (~m2_nattra_1(I, B, C, E, F)))))))))), (((v2_cat_1(C) & l1_cat_1(C)) => ![D: $i] : (m2_cat_1(D, B, C) => ![E: $i] : (m2_cat_1(E, B, C) => ![F: $i] : (m2_cat_1(F, B, C) => ![G: $i] : (m2_cat_1(G, C, A) => ![H: $i] : (m2_nattra_1(H, B, C, D, E) => ![I: $i] : (m2_nattra_1(I, B, C, E, F) => ((r2_nattra_1(B, C, D, E) & r2_nattra_1(B, C, E, F)) => r4_nattra_1(u1_cat_1(B), u2_cat_1(A), u1_cat_1(B), u2_cat_1(A), k6_isocat_1(B, C, A, D, F, k8_nattra_1(B, C, D, E, F, H, I), G), k8_nattra_1(B, A, k2_isocat_1(B, C, A, D, G), k2_isocat_1(B, C, A, E, G), k2_isocat_1(B, C, A, F, G), k6_isocat_1(B, C, A, D, E, H, G), k6_isocat_1(B, C, A, E, F, I, G))))))))))) <=> ((~(v2_cat_1(C) & l1_cat_1(C))) | ![D: $i] : ((~m2_cat_1(D, B, C)) | ![E: $i] : ((~m2_cat_1(E, B, C)) | ![F: $i] : ((~m2_cat_1(F, B, C)) | ![G: $i] : ((~m2_cat_1(G, C, A)) | ![H: $i] : ((~m2_nattra_1(H, B, C, D, E)) | ![I: $i] : (r4_nattra_1(u1_cat_1(B), u2_cat_1(A), u1_cat_1(B), u2_cat_1(A), k6_isocat_1(B, C, A, D, F, k8_nattra_1(B, C, D, E, F, H, I), G), k8_nattra_1(B, A, k2_isocat_1(B, C, A, D, G), k2_isocat_1(B, C, A, E, G), k2_isocat_1(B, C, A, F, G), k6_isocat_1(B, C, A, D, E, H, G), k6_isocat_1(B, C, A, E, F, I, G))) | (~(r2_nattra_1(B, C, D, E) & r2_nattra_1(B, C, E, F))) | (~m2_nattra_1(I, B, C, E, F)))))))))))), (![C: $i] : ((v2_cat_1(C) & l1_cat_1(C)) => ![D: $i] : (m2_cat_1(D, B, C) => ![E: $i] : (m2_cat_1(E, B, C) => ![F: $i] : (m2_cat_1(F, B, C) => ![G: $i] : (m2_cat_1(G, C, A) => ![H: $i] : (m2_nattra_1(H, B, C, D, E) => ![I: $i] : (m2_nattra_1(I, B, C, E, F) => ((r2_nattra_1(B, C, D, E) & r2_nattra_1(B, C, E, F)) => r4_nattra_1(u1_cat_1(B), u2_cat_1(A), u1_cat_1(B), u2_cat_1(A), k6_isocat_1(B, C, A, D, F, k8_nattra_1(B, C, D, E, F, H, I), G), k8_nattra_1(B, A, k2_isocat_1(B, C, A, D, G), k2_isocat_1(B, C, A, E, G), k2_isocat_1(B, C, A, F, G), k6_isocat_1(B, C, A, D, E, H, G), k6_isocat_1(B, C, A, E, F, I, G))))))))))) <=> ![C: $i] : ((~(v2_cat_1(C) & l1_cat_1(C))) | ![D: $i] : ((~m2_cat_1(D, B, C)) | ![E: $i] : ((~m2_cat_1(E, B, C)) | ![F: $i] : ((~m2_cat_1(F, B, C)) | ![G: $i] : ((~m2_cat_1(G, C, A)) | ![H: $i] : ((~m2_nattra_1(H, B, C, D, E)) | ![I: $i] : (r4_nattra_1(u1_cat_1(B), u2_cat_1(A), u1_cat_1(B), u2_cat_1(A), k6_isocat_1(B, C, A, D, F, k8_nattra_1(B, C, D, E, F, H, I), G), k8_nattra_1(B, A, k2_isocat_1(B, C, A, D, G), k2_isocat_1(B, C, A, E, G), k2_isocat_1(B, C, A, F, G), k6_isocat_1(B, C, A, D, E, H, G), k6_isocat_1(B, C, A, E, F, I, G))) | (~(r2_nattra_1(B, C, D, E) & r2_nattra_1(B, C, E, F))) | (~m2_nattra_1(I, B, C, E, F))))))))))), (((v2_cat_1(B) & l1_cat_1(B)) => ![C: $i] : ((v2_cat_1(C) & l1_cat_1(C)) => ![D: $i] : (m2_cat_1(D, B, C) => ![E: $i] : (m2_cat_1(E, B, C) => ![F: $i] : (m2_cat_1(F, B, C) => ![G: $i] : (m2_cat_1(G, C, A) => ![H: $i] : (m2_nattra_1(H, B, C, D, E) => ![I: $i] : (m2_nattra_1(I, B, C, E, F) => ((r2_nattra_1(B, C, D, E) & r2_nattra_1(B, C, E, F)) => r4_nattra_1(u1_cat_1(B), u2_cat_1(A), u1_cat_1(B), u2_cat_1(A), k6_isocat_1(B, C, A, D, F, k8_nattra_1(B, C, D, E, F, H, I), G), k8_nattra_1(B, A, k2_isocat_1(B, C, A, D, G), k2_isocat_1(B, C, A, E, G), k2_isocat_1(B, C, A, F, G), k6_isocat_1(B, C, A, D, E, H, G), k6_isocat_1(B, C, A, E, F, I, G)))))))))))) <=> ((v2_cat_1(B) & l1_cat_1(B)) => ![C: $i] : ((~(v2_cat_1(C) & l1_cat_1(C))) | ![D: $i] : ((~m2_cat_1(D, B, C)) | ![E: $i] : ((~m2_cat_1(E, B, C)) | ![F: $i] : ((~m2_cat_1(F, B, C)) | ![G: $i] : ((~m2_cat_1(G, C, A)) | ![H: $i] : ((~m2_nattra_1(H, B, C, D, E)) | ![I: $i] : (r4_nattra_1(u1_cat_1(B), u2_cat_1(A), u1_cat_1(B), u2_cat_1(A), k6_isocat_1(B, C, A, D, F, k8_nattra_1(B, C, D, E, F, H, I), G), k8_nattra_1(B, A, k2_isocat_1(B, C, A, D, G), k2_isocat_1(B, C, A, E, G), k2_isocat_1(B, C, A, F, G), k6_isocat_1(B, C, A, D, E, H, G), k6_isocat_1(B, C, A, E, F, I, G))) | (~(r2_nattra_1(B, C, D, E) & r2_nattra_1(B, C, E, F))) | (~m2_nattra_1(I, B, C, E, F)))))))))))), rewrite(((v2_cat_1(B) & l1_cat_1(B)) => ![C: $i] : ((~(v2_cat_1(C) & l1_cat_1(C))) | ![D: $i] : ((~m2_cat_1(D, B, C)) | ![E: $i] : ((~m2_cat_1(E, B, C)) | ![F: $i] : ((~m2_cat_1(F, B, C)) | ![G: $i] : ((~m2_cat_1(G, C, A)) | ![H: $i] : ((~m2_nattra_1(H, B, C, D, E)) | ![I: $i] : (r4_nattra_1(u1_cat_1(B), u2_cat_1(A), u1_cat_1(B), u2_cat_1(A), k6_isocat_1(B, C, A, D, F, k8_nattra_1(B, C, D, E, F, H, I), G), k8_nattra_1(B, A, k2_isocat_1(B, C, A, D, G), k2_isocat_1(B, C, A, E, G), k2_isocat_1(B, C, A, F, G), k6_isocat_1(B, C, A, D, E, H, G), k6_isocat_1(B, C, A, E, F, I, G))) | (~(r2_nattra_1(B, C, D, E) & r2_nattra_1(B, C, E, F))) | (~m2_nattra_1(I, B, C, E, F)))))))))) <=> ((~(v2_cat_1(B) & l1_cat_1(B))) | ![C: $i] : ((~(v2_cat_1(C) & l1_cat_1(C))) | ![D: $i] : ((~m2_cat_1(D, B, C)) | ![E: $i] : ((~m2_cat_1(E, B, C)) | ![F: $i] : ((~m2_cat_1(F, B, C)) | ![G: $i] : ((~m2_cat_1(G, C, A)) | ![H: $i] : ((~m2_nattra_1(H, B, C, D, E)) | ![I: $i] : (r4_nattra_1(u1_cat_1(B), u2_cat_1(A), u1_cat_1(B), u2_cat_1(A), k6_isocat_1(B, C, A, D, F, k8_nattra_1(B, C, D, E, F, H, I), G), k8_nattra_1(B, A, k2_isocat_1(B, C, A, D, G), k2_isocat_1(B, C, A, E, G), k2_isocat_1(B, C, A, F, G), k6_isocat_1(B, C, A, D, E, H, G), k6_isocat_1(B, C, A, E, F, I, G))) | (~(r2_nattra_1(B, C, D, E) & r2_nattra_1(B, C, E, F))) | (~m2_nattra_1(I, B, C, E, F))))))))))), (((v2_cat_1(B) & l1_cat_1(B)) => ![C: $i] : ((v2_cat_1(C) & l1_cat_1(C)) => ![D: $i] : (m2_cat_1(D, B, C) => ![E: $i] : (m2_cat_1(E, B, C) => ![F: $i] : (m2_cat_1(F, B, C) => ![G: $i] : (m2_cat_1(G, C, A) => ![H: $i] : (m2_nattra_1(H, B, C, D, E) => ![I: $i] : (m2_nattra_1(I, B, C, E, F) => ((r2_nattra_1(B, C, D, E) & r2_nattra_1(B, C, E, F)) => r4_nattra_1(u1_cat_1(B), u2_cat_1(A), u1_cat_1(B), u2_cat_1(A), k6_isocat_1(B, C, A, D, F, k8_nattra_1(B, C, D, E, F, H, I), G), k8_nattra_1(B, A, k2_isocat_1(B, C, A, D, G), k2_isocat_1(B, C, A, E, G), k2_isocat_1(B, C, A, F, G), k6_isocat_1(B, C, A, D, E, H, G), k6_isocat_1(B, C, A, E, F, I, G)))))))))))) <=> ((~(v2_cat_1(B) & l1_cat_1(B))) | ![C: $i] : ((~(v2_cat_1(C) & l1_cat_1(C))) | ![D: $i] : ((~m2_cat_1(D, B, C)) | ![E: $i] : ((~m2_cat_1(E, B, C)) | ![F: $i] : ((~m2_cat_1(F, B, C)) | ![G: $i] : ((~m2_cat_1(G, C, A)) | ![H: $i] : ((~m2_nattra_1(H, B, C, D, E)) | ![I: $i] : (r4_nattra_1(u1_cat_1(B), u2_cat_1(A), u1_cat_1(B), u2_cat_1(A), k6_isocat_1(B, C, A, D, F, k8_nattra_1(B, C, D, E, F, H, I), G), k8_nattra_1(B, A, k2_isocat_1(B, C, A, D, G), k2_isocat_1(B, C, A, E, G), k2_isocat_1(B, C, A, F, G), k6_isocat_1(B, C, A, D, E, H, G), k6_isocat_1(B, C, A, E, F, I, G))) | (~(r2_nattra_1(B, C, D, E) & r2_nattra_1(B, C, E, F))) | (~m2_nattra_1(I, B, C, E, F))))))))))))), (![B: $i] : ((v2_cat_1(B) & l1_cat_1(B)) => ![C: $i] : ((v2_cat_1(C) & l1_cat_1(C)) => ![D: $i] : (m2_cat_1(D, B, C) => ![E: $i] : (m2_cat_1(E, B, C) => ![F: $i] : (m2_cat_1(F, B, C) => ![G: $i] : (m2_cat_1(G, C, A) => ![H: $i] : (m2_nattra_1(H, B, C, D, E) => ![I: $i] : (m2_nattra_1(I, B, C, E, F) => ((r2_nattra_1(B, C, D, E) & r2_nattra_1(B, C, E, F)) => r4_nattra_1(u1_cat_1(B), u2_cat_1(A), u1_cat_1(B), u2_cat_1(A), k6_isocat_1(B, C, A, D, F, k8_nattra_1(B, C, D, E, F, H, I), G), k8_nattra_1(B, A, k2_isocat_1(B, C, A, D, G), k2_isocat_1(B, C, A, E, G), k2_isocat_1(B, C, A, F, G), k6_isocat_1(B, C, A, D, E, H, G), k6_isocat_1(B, C, A, E, F, I, G)))))))))))) <=> ![B: $i] : ((~(v2_cat_1(B) & l1_cat_1(B))) | ![C: $i] : ((~(v2_cat_1(C) & l1_cat_1(C))) | ![D: $i] : ((~m2_cat_1(D, B, C)) | ![E: $i] : ((~m2_cat_1(E, B, C)) | ![F: $i] : ((~m2_cat_1(F, B, C)) | ![G: $i] : ((~m2_cat_1(G, C, A)) | ![H: $i] : ((~m2_nattra_1(H, B, C, D, E)) | ![I: $i] : (r4_nattra_1(u1_cat_1(B), u2_cat_1(A), u1_cat_1(B), u2_cat_1(A), k6_isocat_1(B, C, A, D, F, k8_nattra_1(B, C, D, E, F, H, I), G), k8_nattra_1(B, A, k2_isocat_1(B, C, A, D, G), k2_isocat_1(B, C, A, E, G), k2_isocat_1(B, C, A, F, G), k6_isocat_1(B, C, A, D, E, H, G), k6_isocat_1(B, C, A, E, F, I, G))) | (~(r2_nattra_1(B, C, D, E) & r2_nattra_1(B, C, E, F))) | (~m2_nattra_1(I, B, C, E, F)))))))))))), (((v2_cat_1(A) & l1_cat_1(A)) => ![B: $i] : ((v2_cat_1(B) & l1_cat_1(B)) => ![C: $i] : ((v2_cat_1(C) & l1_cat_1(C)) => ![D: $i] : (m2_cat_1(D, B, C) => ![E: $i] : (m2_cat_1(E, B, C) => ![F: $i] : (m2_cat_1(F, B, C) => ![G: $i] : (m2_cat_1(G, C, A) => ![H: $i] : (m2_nattra_1(H, B, C, D, E) => ![I: $i] : (m2_nattra_1(I, B, C, E, F) => ((r2_nattra_1(B, C, D, E) & r2_nattra_1(B, C, E, F)) => r4_nattra_1(u1_cat_1(B), u2_cat_1(A), u1_cat_1(B), u2_cat_1(A), k6_isocat_1(B, C, A, D, F, k8_nattra_1(B, C, D, E, F, H, I), G), k8_nattra_1(B, A, k2_isocat_1(B, C, A, D, G), k2_isocat_1(B, C, A, E, G), k2_isocat_1(B, C, A, F, G), k6_isocat_1(B, C, A, D, E, H, G), k6_isocat_1(B, C, A, E, F, I, G))))))))))))) <=> ((v2_cat_1(A) & l1_cat_1(A)) => ![B: $i] : ((~(v2_cat_1(B) & l1_cat_1(B))) | ![C: $i] : ((~(v2_cat_1(C) & l1_cat_1(C))) | ![D: $i] : ((~m2_cat_1(D, B, C)) | ![E: $i] : ((~m2_cat_1(E, B, C)) | ![F: $i] : ((~m2_cat_1(F, B, C)) | ![G: $i] : ((~m2_cat_1(G, C, A)) | ![H: $i] : ((~m2_nattra_1(H, B, C, D, E)) | ![I: $i] : (r4_nattra_1(u1_cat_1(B), u2_cat_1(A), u1_cat_1(B), u2_cat_1(A), k6_isocat_1(B, C, A, D, F, k8_nattra_1(B, C, D, E, F, H, I), G), k8_nattra_1(B, A, k2_isocat_1(B, C, A, D, G), k2_isocat_1(B, C, A, E, G), k2_isocat_1(B, C, A, F, G), k6_isocat_1(B, C, A, D, E, H, G), k6_isocat_1(B, C, A, E, F, I, G))) | (~(r2_nattra_1(B, C, D, E) & r2_nattra_1(B, C, E, F))) | (~m2_nattra_1(I, B, C, E, F))))))))))))), rewrite(((v2_cat_1(A) & l1_cat_1(A)) => ![B: $i] : ((~(v2_cat_1(B) & l1_cat_1(B))) | ![C: $i] : ((~(v2_cat_1(C) & l1_cat_1(C))) | ![D: $i] : ((~m2_cat_1(D, B, C)) | ![E: $i] : ((~m2_cat_1(E, B, C)) | ![F: $i] : ((~m2_cat_1(F, B, C)) | ![G: $i] : ((~m2_cat_1(G, C, A)) | ![H: $i] : ((~m2_nattra_1(H, B, C, D, E)) | ![I: $i] : (r4_nattra_1(u1_cat_1(B), u2_cat_1(A), u1_cat_1(B), u2_cat_1(A), k6_isocat_1(B, C, A, D, F, k8_nattra_1(B, C, D, E, F, H, I), G), k8_nattra_1(B, A, k2_isocat_1(B, C, A, D, G), k2_isocat_1(B, C, A, E, G), k2_isocat_1(B, C, A, F, G), k6_isocat_1(B, C, A, D, E, H, G), k6_isocat_1(B, C, A, E, F, I, G))) | (~(r2_nattra_1(B, C, D, E) & r2_nattra_1(B, C, E, F))) | (~m2_nattra_1(I, B, C, E, F))))))))))) <=> ((~(v2_cat_1(A) & l1_cat_1(A))) | ![B: $i] : ((~(v2_cat_1(B) & l1_cat_1(B))) | ![C: $i] : ((~(v2_cat_1(C) & l1_cat_1(C))) | ![D: $i] : ((~m2_cat_1(D, B, C)) | ![E: $i] : ((~m2_cat_1(E, B, C)) | ![F: $i] : ((~m2_cat_1(F, B, C)) | ![G: $i] : ((~m2_cat_1(G, C, A)) | ![H: $i] : ((~m2_nattra_1(H, B, C, D, E)) | ![I: $i] : (r4_nattra_1(u1_cat_1(B), u2_cat_1(A), u1_cat_1(B), u2_cat_1(A), k6_isocat_1(B, C, A, D, F, k8_nattra_1(B, C, D, E, F, H, I), G), k8_nattra_1(B, A, k2_isocat_1(B, C, A, D, G), k2_isocat_1(B, C, A, E, G), k2_isocat_1(B, C, A, F, G), k6_isocat_1(B, C, A, D, E, H, G), k6_isocat_1(B, C, A, E, F, I, G))) | (~(r2_nattra_1(B, C, D, E) & r2_nattra_1(B, C, E, F))) | (~m2_nattra_1(I, B, C, E, F)))))))))))), (((v2_cat_1(A) & l1_cat_1(A)) => ![B: $i] : ((v2_cat_1(B) & l1_cat_1(B)) => ![C: $i] : ((v2_cat_1(C) & l1_cat_1(C)) => ![D: $i] : (m2_cat_1(D, B, C) => ![E: $i] : (m2_cat_1(E, B, C) => ![F: $i] : (m2_cat_1(F, B, C) => ![G: $i] : (m2_cat_1(G, C, A) => ![H: $i] : (m2_nattra_1(H, B, C, D, E) => ![I: $i] : (m2_nattra_1(I, B, C, E, F) => ((r2_nattra_1(B, C, D, E) & r2_nattra_1(B, C, E, F)) => r4_nattra_1(u1_cat_1(B), u2_cat_1(A), u1_cat_1(B), u2_cat_1(A), k6_isocat_1(B, C, A, D, F, k8_nattra_1(B, C, D, E, F, H, I), G), k8_nattra_1(B, A, k2_isocat_1(B, C, A, D, G), k2_isocat_1(B, C, A, E, G), k2_isocat_1(B, C, A, F, G), k6_isocat_1(B, C, A, D, E, H, G), k6_isocat_1(B, C, A, E, F, I, G))))))))))))) <=> ((~(v2_cat_1(A) & l1_cat_1(A))) | ![B: $i] : ((~(v2_cat_1(B) & l1_cat_1(B))) | ![C: $i] : ((~(v2_cat_1(C) & l1_cat_1(C))) | ![D: $i] : ((~m2_cat_1(D, B, C)) | ![E: $i] : ((~m2_cat_1(E, B, C)) | ![F: $i] : ((~m2_cat_1(F, B, C)) | ![G: $i] : ((~m2_cat_1(G, C, A)) | ![H: $i] : ((~m2_nattra_1(H, B, C, D, E)) | ![I: $i] : (r4_nattra_1(u1_cat_1(B), u2_cat_1(A), u1_cat_1(B), u2_cat_1(A), k6_isocat_1(B, C, A, D, F, k8_nattra_1(B, C, D, E, F, H, I), G), k8_nattra_1(B, A, k2_isocat_1(B, C, A, D, G), k2_isocat_1(B, C, A, E, G), k2_isocat_1(B, C, A, F, G), k6_isocat_1(B, C, A, D, E, H, G), k6_isocat_1(B, C, A, E, F, I, G))) | (~(r2_nattra_1(B, C, D, E) & r2_nattra_1(B, C, E, F))) | (~m2_nattra_1(I, B, C, E, F)))))))))))))),
% 18.72/18.95 inference(bind,[status(th)],[])).
% 18.72/18.95 tff(236,plain,
% 18.72/18.95 (![A: $i] : ((v2_cat_1(A) & l1_cat_1(A)) => ![B: $i] : ((v2_cat_1(B) & l1_cat_1(B)) => ![C: $i] : ((v2_cat_1(C) & l1_cat_1(C)) => ![D: $i] : (m2_cat_1(D, B, C) => ![E: $i] : (m2_cat_1(E, B, C) => ![F: $i] : (m2_cat_1(F, B, C) => ![G: $i] : (m2_cat_1(G, C, A) => ![H: $i] : (m2_nattra_1(H, B, C, D, E) => ![I: $i] : (m2_nattra_1(I, B, C, E, F) => ((r2_nattra_1(B, C, D, E) & r2_nattra_1(B, C, E, F)) => r4_nattra_1(u1_cat_1(B), u2_cat_1(A), u1_cat_1(B), u2_cat_1(A), k6_isocat_1(B, C, A, D, F, k8_nattra_1(B, C, D, E, F, H, I), G), k8_nattra_1(B, A, k2_isocat_1(B, C, A, D, G), k2_isocat_1(B, C, A, E, G), k2_isocat_1(B, C, A, F, G), k6_isocat_1(B, C, A, D, E, H, G), k6_isocat_1(B, C, A, E, F, I, G))))))))))))) <=> ![A: $i] : ((~(v2_cat_1(A) & l1_cat_1(A))) | ![B: $i] : ((~(v2_cat_1(B) & l1_cat_1(B))) | ![C: $i] : ((~(v2_cat_1(C) & l1_cat_1(C))) | ![D: $i] : ((~m2_cat_1(D, B, C)) | ![E: $i] : ((~m2_cat_1(E, B, C)) | ![F: $i] : ((~m2_cat_1(F, B, C)) | ![G: $i] : ((~m2_cat_1(G, C, A)) | ![H: $i] : ((~m2_nattra_1(H, B, C, D, E)) | ![I: $i] : (r4_nattra_1(u1_cat_1(B), u2_cat_1(A), u1_cat_1(B), u2_cat_1(A), k6_isocat_1(B, C, A, D, F, k8_nattra_1(B, C, D, E, F, H, I), G), k8_nattra_1(B, A, k2_isocat_1(B, C, A, D, G), k2_isocat_1(B, C, A, E, G), k2_isocat_1(B, C, A, F, G), k6_isocat_1(B, C, A, D, E, H, G), k6_isocat_1(B, C, A, E, F, I, G))) | (~(r2_nattra_1(B, C, D, E) & r2_nattra_1(B, C, E, F))) | (~m2_nattra_1(I, B, C, E, F)))))))))))),
% 18.72/18.95 inference(quant_intro,[status(thm)],[235])).
% 18.72/18.95 tff(237,axiom,(![A: $i] : ((v2_cat_1(A) & l1_cat_1(A)) => ![B: $i] : ((v2_cat_1(B) & l1_cat_1(B)) => ![C: $i] : ((v2_cat_1(C) & l1_cat_1(C)) => ![D: $i] : (m2_cat_1(D, B, C) => ![E: $i] : (m2_cat_1(E, B, C) => ![F: $i] : (m2_cat_1(F, B, C) => ![G: $i] : (m2_cat_1(G, C, A) => ![H: $i] : (m2_nattra_1(H, B, C, D, E) => ![I: $i] : (m2_nattra_1(I, B, C, E, F) => ((r2_nattra_1(B, C, D, E) & r2_nattra_1(B, C, E, F)) => r4_nattra_1(u1_cat_1(B), u2_cat_1(A), u1_cat_1(B), u2_cat_1(A), k6_isocat_1(B, C, A, D, F, k8_nattra_1(B, C, D, E, F, H, I), G), k8_nattra_1(B, A, k2_isocat_1(B, C, A, D, G), k2_isocat_1(B, C, A, E, G), k2_isocat_1(B, C, A, F, G), k6_isocat_1(B, C, A, D, E, H, G), k6_isocat_1(B, C, A, E, F, I, G)))))))))))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','t32_isocat_1')).
% 18.72/18.95 tff(238,plain,
% 18.72/18.95 (![A: $i] : ((~(v2_cat_1(A) & l1_cat_1(A))) | ![B: $i] : ((~(v2_cat_1(B) & l1_cat_1(B))) | ![C: $i] : ((~(v2_cat_1(C) & l1_cat_1(C))) | ![D: $i] : ((~m2_cat_1(D, B, C)) | ![E: $i] : ((~m2_cat_1(E, B, C)) | ![F: $i] : ((~m2_cat_1(F, B, C)) | ![G: $i] : ((~m2_cat_1(G, C, A)) | ![H: $i] : ((~m2_nattra_1(H, B, C, D, E)) | ![I: $i] : (r4_nattra_1(u1_cat_1(B), u2_cat_1(A), u1_cat_1(B), u2_cat_1(A), k6_isocat_1(B, C, A, D, F, k8_nattra_1(B, C, D, E, F, H, I), G), k8_nattra_1(B, A, k2_isocat_1(B, C, A, D, G), k2_isocat_1(B, C, A, E, G), k2_isocat_1(B, C, A, F, G), k6_isocat_1(B, C, A, D, E, H, G), k6_isocat_1(B, C, A, E, F, I, G))) | (~(r2_nattra_1(B, C, D, E) & r2_nattra_1(B, C, E, F))) | (~m2_nattra_1(I, B, C, E, F)))))))))))),
% 18.72/18.95 inference(modus_ponens,[status(thm)],[237, 236])).
% 18.72/18.95 tff(239,plain,
% 18.72/18.95 (![A: $i] : ((~(v2_cat_1(A) & l1_cat_1(A))) | ![B: $i] : ((~(v2_cat_1(B) & l1_cat_1(B))) | ![C: $i] : ((~(v2_cat_1(C) & l1_cat_1(C))) | ![D: $i] : ((~m2_cat_1(D, B, C)) | ![E: $i] : ((~m2_cat_1(E, B, C)) | ![F: $i] : ((~m2_cat_1(F, B, C)) | ![G: $i] : ((~m2_cat_1(G, C, A)) | ![H: $i] : ((~m2_nattra_1(H, B, C, D, E)) | ![I: $i] : (r4_nattra_1(u1_cat_1(B), u2_cat_1(A), u1_cat_1(B), u2_cat_1(A), k6_isocat_1(B, C, A, D, F, k8_nattra_1(B, C, D, E, F, H, I), G), k8_nattra_1(B, A, k2_isocat_1(B, C, A, D, G), k2_isocat_1(B, C, A, E, G), k2_isocat_1(B, C, A, F, G), k6_isocat_1(B, C, A, D, E, H, G), k6_isocat_1(B, C, A, E, F, I, G))) | (~(r2_nattra_1(B, C, D, E) & r2_nattra_1(B, C, E, F))) | (~m2_nattra_1(I, B, C, E, F)))))))))))),
% 18.72/18.95 inference(modus_ponens,[status(thm)],[238, 234])).
% 18.72/18.95 tff(240,plain,(
% 18.72/18.95 ![A: $i] : ((~(v2_cat_1(A) & l1_cat_1(A))) | ![B: $i] : ((~(v2_cat_1(B) & l1_cat_1(B))) | ![C: $i] : ((~(v2_cat_1(C) & l1_cat_1(C))) | ![D: $i] : ((~m2_cat_1(D, B, C)) | ![E: $i] : ((~m2_cat_1(E, B, C)) | ![F: $i] : ((~m2_cat_1(F, B, C)) | ![G: $i] : ((~m2_cat_1(G, C, A)) | ![H: $i] : ((~m2_nattra_1(H, B, C, D, E)) | ![I: $i] : (r4_nattra_1(u1_cat_1(B), u2_cat_1(A), u1_cat_1(B), u2_cat_1(A), k6_isocat_1(B, C, A, D, F, k8_nattra_1(B, C, D, E, F, H, I), G), k8_nattra_1(B, A, k2_isocat_1(B, C, A, D, G), k2_isocat_1(B, C, A, E, G), k2_isocat_1(B, C, A, F, G), k6_isocat_1(B, C, A, D, E, H, G), k6_isocat_1(B, C, A, E, F, I, G))) | (~(r2_nattra_1(B, C, D, E) & r2_nattra_1(B, C, E, F))) | (~m2_nattra_1(I, B, C, E, F)))))))))))),
% 18.72/18.95 inference(skolemize,[status(sab)],[239])).
% 18.72/18.95 tff(241,plain,
% 18.72/18.95 (![A: $i] : ((~l1_cat_1(A)) | (~v2_cat_1(A)) | ![B: $i] : ((~l1_cat_1(B)) | (~v2_cat_1(B)) | ![C: $i] : ((~l1_cat_1(C)) | (~v2_cat_1(C)) | ![D: $i] : ((~m2_cat_1(D, B, C)) | ![E: $i] : ((~m2_cat_1(E, B, C)) | ![F: $i] : ((~m2_cat_1(F, B, C)) | ![G: $i] : ((~m2_cat_1(G, C, A)) | ![H: $i] : ((~m2_nattra_1(H, B, C, D, E)) | ![I: $i] : (r4_nattra_1(u1_cat_1(B), u2_cat_1(A), u1_cat_1(B), u2_cat_1(A), k6_isocat_1(B, C, A, D, F, k8_nattra_1(B, C, D, E, F, H, I), G), k8_nattra_1(B, A, k2_isocat_1(B, C, A, D, G), k2_isocat_1(B, C, A, E, G), k2_isocat_1(B, C, A, F, G), k6_isocat_1(B, C, A, D, E, H, G), k6_isocat_1(B, C, A, E, F, I, G))) | (~m2_nattra_1(I, B, C, E, F)) | (~r2_nattra_1(B, C, D, E)) | (~r2_nattra_1(B, C, E, F)))))))))))),
% 18.72/18.95 inference(modus_ponens,[status(thm)],[240, 233])).
% 18.72/18.95 tff(242,plain,
% 18.72/18.95 (![A: $i] : ((~l1_cat_1(A)) | (~v2_cat_1(A)) | ![B: $i] : ((~l1_cat_1(B)) | (~v2_cat_1(B)) | ![C: $i] : ((~l1_cat_1(C)) | (~v2_cat_1(C)) | ![D: $i] : ((~m2_cat_1(D, B, C)) | ![E: $i] : ((~m2_cat_1(E, B, C)) | ![F: $i] : ((~m2_cat_1(F, B, C)) | ![G: $i] : ((~m2_cat_1(G, C, A)) | ![H: $i] : ((~m2_nattra_1(H, B, C, D, E)) | ![I: $i] : (r4_nattra_1(u1_cat_1(B), u2_cat_1(A), u1_cat_1(B), u2_cat_1(A), k6_isocat_1(B, C, A, D, F, k8_nattra_1(B, C, D, E, F, H, I), G), k8_nattra_1(B, A, k2_isocat_1(B, C, A, D, G), k2_isocat_1(B, C, A, E, G), k2_isocat_1(B, C, A, F, G), k6_isocat_1(B, C, A, D, E, H, G), k6_isocat_1(B, C, A, E, F, I, G))) | (~m2_nattra_1(I, B, C, E, F)) | (~r2_nattra_1(B, C, D, E)) | (~r2_nattra_1(B, C, E, F)))))))))))),
% 18.72/18.95 inference(modus_ponens,[status(thm)],[241, 231])).
% 18.72/18.95 tff(243,plain,
% 18.72/18.95 (((~![A: $i] : ((~l1_cat_1(A)) | (~v2_cat_1(A)) | ![B: $i] : ((~l1_cat_1(B)) | (~v2_cat_1(B)) | ![C: $i] : ((~l1_cat_1(C)) | (~v2_cat_1(C)) | ![D: $i] : ((~m2_cat_1(D, B, C)) | ![E: $i] : ((~m2_cat_1(E, B, C)) | ![F: $i] : ((~m2_cat_1(F, B, C)) | ![G: $i] : ((~m2_cat_1(G, C, A)) | ![H: $i] : ((~m2_nattra_1(H, B, C, D, E)) | ![I: $i] : (r4_nattra_1(u1_cat_1(B), u2_cat_1(A), u1_cat_1(B), u2_cat_1(A), k6_isocat_1(B, C, A, D, F, k8_nattra_1(B, C, D, E, F, H, I), G), k8_nattra_1(B, A, k2_isocat_1(B, C, A, D, G), k2_isocat_1(B, C, A, E, G), k2_isocat_1(B, C, A, F, G), k6_isocat_1(B, C, A, D, E, H, G), k6_isocat_1(B, C, A, E, F, I, G))) | (~m2_nattra_1(I, B, C, E, F)) | (~r2_nattra_1(B, C, D, E)) | (~r2_nattra_1(B, C, E, F)))))))))))) | ((~l1_cat_1(B!1)) | (~v2_cat_1(B!1)) | ![B: $i] : ((~l1_cat_1(B)) | (~v2_cat_1(B)) | ![C: $i] : ((~l1_cat_1(C)) | (~v2_cat_1(C)) | ![D: $i] : ((~m2_cat_1(D, B, C)) | ![E: $i] : ((~m2_cat_1(E, B, C)) | ![F: $i] : ((~m2_cat_1(F, B, C)) | ![G: $i] : ((~m2_cat_1(G, C, B!1)) | ![H: $i] : ((~m2_nattra_1(H, B, C, D, E)) | ![I: $i] : ((~m2_nattra_1(I, B, C, E, F)) | (~r2_nattra_1(B, C, D, E)) | (~r2_nattra_1(B, C, E, F)) | r4_nattra_1(u1_cat_1(B), u2_cat_1(B!1), u1_cat_1(B), u2_cat_1(B!1), k6_isocat_1(B, C, B!1, D, F, k8_nattra_1(B, C, D, E, F, H, I), G), k8_nattra_1(B, B!1, k2_isocat_1(B, C, B!1, D, G), k2_isocat_1(B, C, B!1, E, G), k2_isocat_1(B, C, B!1, F, G), k6_isocat_1(B, C, B!1, D, E, H, G), k6_isocat_1(B, C, B!1, E, F, I, G))))))))))))) <=> ((~![A: $i] : ((~l1_cat_1(A)) | (~v2_cat_1(A)) | ![B: $i] : ((~l1_cat_1(B)) | (~v2_cat_1(B)) | ![C: $i] : ((~l1_cat_1(C)) | (~v2_cat_1(C)) | ![D: $i] : ((~m2_cat_1(D, B, C)) | ![E: $i] : ((~m2_cat_1(E, B, C)) | ![F: $i] : ((~m2_cat_1(F, B, C)) | ![G: $i] : ((~m2_cat_1(G, C, A)) | ![H: $i] : ((~m2_nattra_1(H, B, C, D, E)) | ![I: $i] : (r4_nattra_1(u1_cat_1(B), u2_cat_1(A), u1_cat_1(B), u2_cat_1(A), k6_isocat_1(B, C, A, D, F, k8_nattra_1(B, C, D, E, F, H, I), G), k8_nattra_1(B, A, k2_isocat_1(B, C, A, D, G), k2_isocat_1(B, C, A, E, G), k2_isocat_1(B, C, A, F, G), k6_isocat_1(B, C, A, D, E, H, G), k6_isocat_1(B, C, A, E, F, I, G))) | (~m2_nattra_1(I, B, C, E, F)) | (~r2_nattra_1(B, C, D, E)) | (~r2_nattra_1(B, C, E, F)))))))))))) | (~l1_cat_1(B!1)) | (~v2_cat_1(B!1)) | ![B: $i] : ((~l1_cat_1(B)) | (~v2_cat_1(B)) | ![C: $i] : ((~l1_cat_1(C)) | (~v2_cat_1(C)) | ![D: $i] : ((~m2_cat_1(D, B, C)) | ![E: $i] : ((~m2_cat_1(E, B, C)) | ![F: $i] : ((~m2_cat_1(F, B, C)) | ![G: $i] : ((~m2_cat_1(G, C, B!1)) | ![H: $i] : ((~m2_nattra_1(H, B, C, D, E)) | ![I: $i] : ((~m2_nattra_1(I, B, C, E, F)) | (~r2_nattra_1(B, C, D, E)) | (~r2_nattra_1(B, C, E, F)) | r4_nattra_1(u1_cat_1(B), u2_cat_1(B!1), u1_cat_1(B), u2_cat_1(B!1), k6_isocat_1(B, C, B!1, D, F, k8_nattra_1(B, C, D, E, F, H, I), G), k8_nattra_1(B, B!1, k2_isocat_1(B, C, B!1, D, G), k2_isocat_1(B, C, B!1, E, G), k2_isocat_1(B, C, B!1, F, G), k6_isocat_1(B, C, B!1, D, E, H, G), k6_isocat_1(B, C, B!1, E, F, I, G))))))))))))),
% 18.72/18.95 inference(rewrite,[status(thm)],[])).
% 18.72/18.95 tff(244,plain,
% 18.72/18.95 (((~l1_cat_1(B!1)) | (~v2_cat_1(B!1)) | ![B: $i] : ((~l1_cat_1(B)) | (~v2_cat_1(B)) | ![C: $i] : ((~l1_cat_1(C)) | (~v2_cat_1(C)) | ![D: $i] : ((~m2_cat_1(D, B, C)) | ![E: $i] : ((~m2_cat_1(E, B, C)) | ![F: $i] : ((~m2_cat_1(F, B, C)) | ![G: $i] : ((~m2_cat_1(G, C, B!1)) | ![H: $i] : ((~m2_nattra_1(H, B, C, D, E)) | ![I: $i] : (r4_nattra_1(u1_cat_1(B), u2_cat_1(B!1), u1_cat_1(B), u2_cat_1(B!1), k6_isocat_1(B, C, B!1, D, F, k8_nattra_1(B, C, D, E, F, H, I), G), k8_nattra_1(B, B!1, k2_isocat_1(B, C, B!1, D, G), k2_isocat_1(B, C, B!1, E, G), k2_isocat_1(B, C, B!1, F, G), k6_isocat_1(B, C, B!1, D, E, H, G), k6_isocat_1(B, C, B!1, E, F, I, G))) | (~m2_nattra_1(I, B, C, E, F)) | (~r2_nattra_1(B, C, D, E)) | (~r2_nattra_1(B, C, E, F))))))))))) <=> ((~l1_cat_1(B!1)) | (~v2_cat_1(B!1)) | ![B: $i] : ((~l1_cat_1(B)) | (~v2_cat_1(B)) | ![C: $i] : ((~l1_cat_1(C)) | (~v2_cat_1(C)) | ![D: $i] : ((~m2_cat_1(D, B, C)) | ![E: $i] : ((~m2_cat_1(E, B, C)) | ![F: $i] : ((~m2_cat_1(F, B, C)) | ![G: $i] : ((~m2_cat_1(G, C, B!1)) | ![H: $i] : ((~m2_nattra_1(H, B, C, D, E)) | ![I: $i] : ((~m2_nattra_1(I, B, C, E, F)) | (~r2_nattra_1(B, C, D, E)) | (~r2_nattra_1(B, C, E, F)) | r4_nattra_1(u1_cat_1(B), u2_cat_1(B!1), u1_cat_1(B), u2_cat_1(B!1), k6_isocat_1(B, C, B!1, D, F, k8_nattra_1(B, C, D, E, F, H, I), G), k8_nattra_1(B, B!1, k2_isocat_1(B, C, B!1, D, G), k2_isocat_1(B, C, B!1, E, G), k2_isocat_1(B, C, B!1, F, G), k6_isocat_1(B, C, B!1, D, E, H, G), k6_isocat_1(B, C, B!1, E, F, I, G))))))))))))),
% 18.72/18.95 inference(rewrite,[status(thm)],[])).
% 18.72/18.95 tff(245,plain,
% 18.72/18.95 (((~![A: $i] : ((~l1_cat_1(A)) | (~v2_cat_1(A)) | ![B: $i] : ((~l1_cat_1(B)) | (~v2_cat_1(B)) | ![C: $i] : ((~l1_cat_1(C)) | (~v2_cat_1(C)) | ![D: $i] : ((~m2_cat_1(D, B, C)) | ![E: $i] : ((~m2_cat_1(E, B, C)) | ![F: $i] : ((~m2_cat_1(F, B, C)) | ![G: $i] : ((~m2_cat_1(G, C, A)) | ![H: $i] : ((~m2_nattra_1(H, B, C, D, E)) | ![I: $i] : (r4_nattra_1(u1_cat_1(B), u2_cat_1(A), u1_cat_1(B), u2_cat_1(A), k6_isocat_1(B, C, A, D, F, k8_nattra_1(B, C, D, E, F, H, I), G), k8_nattra_1(B, A, k2_isocat_1(B, C, A, D, G), k2_isocat_1(B, C, A, E, G), k2_isocat_1(B, C, A, F, G), k6_isocat_1(B, C, A, D, E, H, G), k6_isocat_1(B, C, A, E, F, I, G))) | (~m2_nattra_1(I, B, C, E, F)) | (~r2_nattra_1(B, C, D, E)) | (~r2_nattra_1(B, C, E, F)))))))))))) | ((~l1_cat_1(B!1)) | (~v2_cat_1(B!1)) | ![B: $i] : ((~l1_cat_1(B)) | (~v2_cat_1(B)) | ![C: $i] : ((~l1_cat_1(C)) | (~v2_cat_1(C)) | ![D: $i] : ((~m2_cat_1(D, B, C)) | ![E: $i] : ((~m2_cat_1(E, B, C)) | ![F: $i] : ((~m2_cat_1(F, B, C)) | ![G: $i] : ((~m2_cat_1(G, C, B!1)) | ![H: $i] : ((~m2_nattra_1(H, B, C, D, E)) | ![I: $i] : (r4_nattra_1(u1_cat_1(B), u2_cat_1(B!1), u1_cat_1(B), u2_cat_1(B!1), k6_isocat_1(B, C, B!1, D, F, k8_nattra_1(B, C, D, E, F, H, I), G), k8_nattra_1(B, B!1, k2_isocat_1(B, C, B!1, D, G), k2_isocat_1(B, C, B!1, E, G), k2_isocat_1(B, C, B!1, F, G), k6_isocat_1(B, C, B!1, D, E, H, G), k6_isocat_1(B, C, B!1, E, F, I, G))) | (~m2_nattra_1(I, B, C, E, F)) | (~r2_nattra_1(B, C, D, E)) | (~r2_nattra_1(B, C, E, F)))))))))))) <=> ((~![A: $i] : ((~l1_cat_1(A)) | (~v2_cat_1(A)) | ![B: $i] : ((~l1_cat_1(B)) | (~v2_cat_1(B)) | ![C: $i] : ((~l1_cat_1(C)) | (~v2_cat_1(C)) | ![D: $i] : ((~m2_cat_1(D, B, C)) | ![E: $i] : ((~m2_cat_1(E, B, C)) | ![F: $i] : ((~m2_cat_1(F, B, C)) | ![G: $i] : ((~m2_cat_1(G, C, A)) | ![H: $i] : ((~m2_nattra_1(H, B, C, D, E)) | ![I: $i] : (r4_nattra_1(u1_cat_1(B), u2_cat_1(A), u1_cat_1(B), u2_cat_1(A), k6_isocat_1(B, C, A, D, F, k8_nattra_1(B, C, D, E, F, H, I), G), k8_nattra_1(B, A, k2_isocat_1(B, C, A, D, G), k2_isocat_1(B, C, A, E, G), k2_isocat_1(B, C, A, F, G), k6_isocat_1(B, C, A, D, E, H, G), k6_isocat_1(B, C, A, E, F, I, G))) | (~m2_nattra_1(I, B, C, E, F)) | (~r2_nattra_1(B, C, D, E)) | (~r2_nattra_1(B, C, E, F)))))))))))) | ((~l1_cat_1(B!1)) | (~v2_cat_1(B!1)) | ![B: $i] : ((~l1_cat_1(B)) | (~v2_cat_1(B)) | ![C: $i] : ((~l1_cat_1(C)) | (~v2_cat_1(C)) | ![D: $i] : ((~m2_cat_1(D, B, C)) | ![E: $i] : ((~m2_cat_1(E, B, C)) | ![F: $i] : ((~m2_cat_1(F, B, C)) | ![G: $i] : ((~m2_cat_1(G, C, B!1)) | ![H: $i] : ((~m2_nattra_1(H, B, C, D, E)) | ![I: $i] : ((~m2_nattra_1(I, B, C, E, F)) | (~r2_nattra_1(B, C, D, E)) | (~r2_nattra_1(B, C, E, F)) | r4_nattra_1(u1_cat_1(B), u2_cat_1(B!1), u1_cat_1(B), u2_cat_1(B!1), k6_isocat_1(B, C, B!1, D, F, k8_nattra_1(B, C, D, E, F, H, I), G), k8_nattra_1(B, B!1, k2_isocat_1(B, C, B!1, D, G), k2_isocat_1(B, C, B!1, E, G), k2_isocat_1(B, C, B!1, F, G), k6_isocat_1(B, C, B!1, D, E, H, G), k6_isocat_1(B, C, B!1, E, F, I, G)))))))))))))),
% 18.72/18.95 inference(monotonicity,[status(thm)],[244])).
% 18.72/18.95 tff(246,plain,
% 18.72/18.95 (((~![A: $i] : ((~l1_cat_1(A)) | (~v2_cat_1(A)) | ![B: $i] : ((~l1_cat_1(B)) | (~v2_cat_1(B)) | ![C: $i] : ((~l1_cat_1(C)) | (~v2_cat_1(C)) | ![D: $i] : ((~m2_cat_1(D, B, C)) | ![E: $i] : ((~m2_cat_1(E, B, C)) | ![F: $i] : ((~m2_cat_1(F, B, C)) | ![G: $i] : ((~m2_cat_1(G, C, A)) | ![H: $i] : ((~m2_nattra_1(H, B, C, D, E)) | ![I: $i] : (r4_nattra_1(u1_cat_1(B), u2_cat_1(A), u1_cat_1(B), u2_cat_1(A), k6_isocat_1(B, C, A, D, F, k8_nattra_1(B, C, D, E, F, H, I), G), k8_nattra_1(B, A, k2_isocat_1(B, C, A, D, G), k2_isocat_1(B, C, A, E, G), k2_isocat_1(B, C, A, F, G), k6_isocat_1(B, C, A, D, E, H, G), k6_isocat_1(B, C, A, E, F, I, G))) | (~m2_nattra_1(I, B, C, E, F)) | (~r2_nattra_1(B, C, D, E)) | (~r2_nattra_1(B, C, E, F)))))))))))) | ((~l1_cat_1(B!1)) | (~v2_cat_1(B!1)) | ![B: $i] : ((~l1_cat_1(B)) | (~v2_cat_1(B)) | ![C: $i] : ((~l1_cat_1(C)) | (~v2_cat_1(C)) | ![D: $i] : ((~m2_cat_1(D, B, C)) | ![E: $i] : ((~m2_cat_1(E, B, C)) | ![F: $i] : ((~m2_cat_1(F, B, C)) | ![G: $i] : ((~m2_cat_1(G, C, B!1)) | ![H: $i] : ((~m2_nattra_1(H, B, C, D, E)) | ![I: $i] : (r4_nattra_1(u1_cat_1(B), u2_cat_1(B!1), u1_cat_1(B), u2_cat_1(B!1), k6_isocat_1(B, C, B!1, D, F, k8_nattra_1(B, C, D, E, F, H, I), G), k8_nattra_1(B, B!1, k2_isocat_1(B, C, B!1, D, G), k2_isocat_1(B, C, B!1, E, G), k2_isocat_1(B, C, B!1, F, G), k6_isocat_1(B, C, B!1, D, E, H, G), k6_isocat_1(B, C, B!1, E, F, I, G))) | (~m2_nattra_1(I, B, C, E, F)) | (~r2_nattra_1(B, C, D, E)) | (~r2_nattra_1(B, C, E, F)))))))))))) <=> ((~![A: $i] : ((~l1_cat_1(A)) | (~v2_cat_1(A)) | ![B: $i] : ((~l1_cat_1(B)) | (~v2_cat_1(B)) | ![C: $i] : ((~l1_cat_1(C)) | (~v2_cat_1(C)) | ![D: $i] : ((~m2_cat_1(D, B, C)) | ![E: $i] : ((~m2_cat_1(E, B, C)) | ![F: $i] : ((~m2_cat_1(F, B, C)) | ![G: $i] : ((~m2_cat_1(G, C, A)) | ![H: $i] : ((~m2_nattra_1(H, B, C, D, E)) | ![I: $i] : (r4_nattra_1(u1_cat_1(B), u2_cat_1(A), u1_cat_1(B), u2_cat_1(A), k6_isocat_1(B, C, A, D, F, k8_nattra_1(B, C, D, E, F, H, I), G), k8_nattra_1(B, A, k2_isocat_1(B, C, A, D, G), k2_isocat_1(B, C, A, E, G), k2_isocat_1(B, C, A, F, G), k6_isocat_1(B, C, A, D, E, H, G), k6_isocat_1(B, C, A, E, F, I, G))) | (~m2_nattra_1(I, B, C, E, F)) | (~r2_nattra_1(B, C, D, E)) | (~r2_nattra_1(B, C, E, F)))))))))))) | (~l1_cat_1(B!1)) | (~v2_cat_1(B!1)) | ![B: $i] : ((~l1_cat_1(B)) | (~v2_cat_1(B)) | ![C: $i] : ((~l1_cat_1(C)) | (~v2_cat_1(C)) | ![D: $i] : ((~m2_cat_1(D, B, C)) | ![E: $i] : ((~m2_cat_1(E, B, C)) | ![F: $i] : ((~m2_cat_1(F, B, C)) | ![G: $i] : ((~m2_cat_1(G, C, B!1)) | ![H: $i] : ((~m2_nattra_1(H, B, C, D, E)) | ![I: $i] : ((~m2_nattra_1(I, B, C, E, F)) | (~r2_nattra_1(B, C, D, E)) | (~r2_nattra_1(B, C, E, F)) | r4_nattra_1(u1_cat_1(B), u2_cat_1(B!1), u1_cat_1(B), u2_cat_1(B!1), k6_isocat_1(B, C, B!1, D, F, k8_nattra_1(B, C, D, E, F, H, I), G), k8_nattra_1(B, B!1, k2_isocat_1(B, C, B!1, D, G), k2_isocat_1(B, C, B!1, E, G), k2_isocat_1(B, C, B!1, F, G), k6_isocat_1(B, C, B!1, D, E, H, G), k6_isocat_1(B, C, B!1, E, F, I, G))))))))))))),
% 18.72/18.95 inference(transitivity,[status(thm)],[245, 243])).
% 18.72/18.95 tff(247,plain,
% 18.72/18.95 ((~![A: $i] : ((~l1_cat_1(A)) | (~v2_cat_1(A)) | ![B: $i] : ((~l1_cat_1(B)) | (~v2_cat_1(B)) | ![C: $i] : ((~l1_cat_1(C)) | (~v2_cat_1(C)) | ![D: $i] : ((~m2_cat_1(D, B, C)) | ![E: $i] : ((~m2_cat_1(E, B, C)) | ![F: $i] : ((~m2_cat_1(F, B, C)) | ![G: $i] : ((~m2_cat_1(G, C, A)) | ![H: $i] : ((~m2_nattra_1(H, B, C, D, E)) | ![I: $i] : (r4_nattra_1(u1_cat_1(B), u2_cat_1(A), u1_cat_1(B), u2_cat_1(A), k6_isocat_1(B, C, A, D, F, k8_nattra_1(B, C, D, E, F, H, I), G), k8_nattra_1(B, A, k2_isocat_1(B, C, A, D, G), k2_isocat_1(B, C, A, E, G), k2_isocat_1(B, C, A, F, G), k6_isocat_1(B, C, A, D, E, H, G), k6_isocat_1(B, C, A, E, F, I, G))) | (~m2_nattra_1(I, B, C, E, F)) | (~r2_nattra_1(B, C, D, E)) | (~r2_nattra_1(B, C, E, F)))))))))))) | ((~l1_cat_1(B!1)) | (~v2_cat_1(B!1)) | ![B: $i] : ((~l1_cat_1(B)) | (~v2_cat_1(B)) | ![C: $i] : ((~l1_cat_1(C)) | (~v2_cat_1(C)) | ![D: $i] : ((~m2_cat_1(D, B, C)) | ![E: $i] : ((~m2_cat_1(E, B, C)) | ![F: $i] : ((~m2_cat_1(F, B, C)) | ![G: $i] : ((~m2_cat_1(G, C, B!1)) | ![H: $i] : ((~m2_nattra_1(H, B, C, D, E)) | ![I: $i] : (r4_nattra_1(u1_cat_1(B), u2_cat_1(B!1), u1_cat_1(B), u2_cat_1(B!1), k6_isocat_1(B, C, B!1, D, F, k8_nattra_1(B, C, D, E, F, H, I), G), k8_nattra_1(B, B!1, k2_isocat_1(B, C, B!1, D, G), k2_isocat_1(B, C, B!1, E, G), k2_isocat_1(B, C, B!1, F, G), k6_isocat_1(B, C, B!1, D, E, H, G), k6_isocat_1(B, C, B!1, E, F, I, G))) | (~m2_nattra_1(I, B, C, E, F)) | (~r2_nattra_1(B, C, D, E)) | (~r2_nattra_1(B, C, E, F)))))))))))),
% 18.79/18.95 inference(quant_inst,[status(thm)],[])).
% 18.79/18.95 tff(248,plain,
% 18.79/18.95 ((~![A: $i] : ((~l1_cat_1(A)) | (~v2_cat_1(A)) | ![B: $i] : ((~l1_cat_1(B)) | (~v2_cat_1(B)) | ![C: $i] : ((~l1_cat_1(C)) | (~v2_cat_1(C)) | ![D: $i] : ((~m2_cat_1(D, B, C)) | ![E: $i] : ((~m2_cat_1(E, B, C)) | ![F: $i] : ((~m2_cat_1(F, B, C)) | ![G: $i] : ((~m2_cat_1(G, C, A)) | ![H: $i] : ((~m2_nattra_1(H, B, C, D, E)) | ![I: $i] : (r4_nattra_1(u1_cat_1(B), u2_cat_1(A), u1_cat_1(B), u2_cat_1(A), k6_isocat_1(B, C, A, D, F, k8_nattra_1(B, C, D, E, F, H, I), G), k8_nattra_1(B, A, k2_isocat_1(B, C, A, D, G), k2_isocat_1(B, C, A, E, G), k2_isocat_1(B, C, A, F, G), k6_isocat_1(B, C, A, D, E, H, G), k6_isocat_1(B, C, A, E, F, I, G))) | (~m2_nattra_1(I, B, C, E, F)) | (~r2_nattra_1(B, C, D, E)) | (~r2_nattra_1(B, C, E, F)))))))))))) | (~l1_cat_1(B!1)) | (~v2_cat_1(B!1)) | ![B: $i] : ((~l1_cat_1(B)) | (~v2_cat_1(B)) | ![C: $i] : ((~l1_cat_1(C)) | (~v2_cat_1(C)) | ![D: $i] : ((~m2_cat_1(D, B, C)) | ![E: $i] : ((~m2_cat_1(E, B, C)) | ![F: $i] : ((~m2_cat_1(F, B, C)) | ![G: $i] : ((~m2_cat_1(G, C, B!1)) | ![H: $i] : ((~m2_nattra_1(H, B, C, D, E)) | ![I: $i] : ((~m2_nattra_1(I, B, C, E, F)) | (~r2_nattra_1(B, C, D, E)) | (~r2_nattra_1(B, C, E, F)) | r4_nattra_1(u1_cat_1(B), u2_cat_1(B!1), u1_cat_1(B), u2_cat_1(B!1), k6_isocat_1(B, C, B!1, D, F, k8_nattra_1(B, C, D, E, F, H, I), G), k8_nattra_1(B, B!1, k2_isocat_1(B, C, B!1, D, G), k2_isocat_1(B, C, B!1, E, G), k2_isocat_1(B, C, B!1, F, G), k6_isocat_1(B, C, B!1, D, E, H, G), k6_isocat_1(B, C, B!1, E, F, I, G)))))))))))),
% 18.79/18.95 inference(modus_ponens,[status(thm)],[247, 246])).
% 18.79/18.95 tff(249,plain,
% 18.79/18.95 (![B: $i] : ((~l1_cat_1(B)) | (~v2_cat_1(B)) | ![C: $i] : ((~l1_cat_1(C)) | (~v2_cat_1(C)) | ![D: $i] : ((~m2_cat_1(D, B, C)) | ![E: $i] : ((~m2_cat_1(E, B, C)) | ![F: $i] : ((~m2_cat_1(F, B, C)) | ![G: $i] : ((~m2_cat_1(G, C, B!1)) | ![H: $i] : ((~m2_nattra_1(H, B, C, D, E)) | ![I: $i] : ((~m2_nattra_1(I, B, C, E, F)) | (~r2_nattra_1(B, C, D, E)) | (~r2_nattra_1(B, C, E, F)) | r4_nattra_1(u1_cat_1(B), u2_cat_1(B!1), u1_cat_1(B), u2_cat_1(B!1), k6_isocat_1(B, C, B!1, D, F, k8_nattra_1(B, C, D, E, F, H, I), G), k8_nattra_1(B, B!1, k2_isocat_1(B, C, B!1, D, G), k2_isocat_1(B, C, B!1, E, G), k2_isocat_1(B, C, B!1, F, G), k6_isocat_1(B, C, B!1, D, E, H, G), k6_isocat_1(B, C, B!1, E, F, I, G)))))))))))),
% 18.79/18.95 inference(unit_resolution,[status(thm)],[248, 51, 50, 242])).
% 18.79/18.95 tff(250,plain,
% 18.79/18.95 (((~![B: $i] : ((~l1_cat_1(B)) | (~v2_cat_1(B)) | ![C: $i] : ((~l1_cat_1(C)) | (~v2_cat_1(C)) | ![D: $i] : ((~m2_cat_1(D, B, C)) | ![E: $i] : ((~m2_cat_1(E, B, C)) | ![F: $i] : ((~m2_cat_1(F, B, C)) | ![G: $i] : ((~m2_cat_1(G, C, B!1)) | ![H: $i] : ((~m2_nattra_1(H, B, C, D, E)) | ![I: $i] : ((~m2_nattra_1(I, B, C, E, F)) | (~r2_nattra_1(B, C, D, E)) | (~r2_nattra_1(B, C, E, F)) | r4_nattra_1(u1_cat_1(B), u2_cat_1(B!1), u1_cat_1(B), u2_cat_1(B!1), k6_isocat_1(B, C, B!1, D, F, k8_nattra_1(B, C, D, E, F, H, I), G), k8_nattra_1(B, B!1, k2_isocat_1(B, C, B!1, D, G), k2_isocat_1(B, C, B!1, E, G), k2_isocat_1(B, C, B!1, F, G), k6_isocat_1(B, C, B!1, D, E, H, G), k6_isocat_1(B, C, B!1, E, F, I, G)))))))))))) | ((~l1_cat_1(A!0)) | (~v2_cat_1(A!0)) | ![C: $i] : ((~l1_cat_1(C)) | (~v2_cat_1(C)) | ![D: $i] : ((~m2_cat_1(D, A!0, C)) | ![E: $i] : ((~m2_cat_1(E, A!0, C)) | ![F: $i] : ((~m2_cat_1(F, A!0, C)) | ![G: $i] : ((~m2_cat_1(G, C, B!1)) | ![H: $i] : ((~m2_nattra_1(H, A!0, C, D, E)) | ![I: $i] : ((~m2_nattra_1(I, A!0, C, E, F)) | (~r2_nattra_1(A!0, C, D, E)) | (~r2_nattra_1(A!0, C, E, F)) | r4_nattra_1(u1_cat_1(A!0), u2_cat_1(B!1), u1_cat_1(A!0), u2_cat_1(B!1), k6_isocat_1(A!0, C, B!1, D, F, k8_nattra_1(A!0, C, D, E, F, H, I), G), k8_nattra_1(A!0, B!1, k2_isocat_1(A!0, C, B!1, D, G), k2_isocat_1(A!0, C, B!1, E, G), k2_isocat_1(A!0, C, B!1, F, G), k6_isocat_1(A!0, C, B!1, D, E, H, G), k6_isocat_1(A!0, C, B!1, E, F, I, G)))))))))))) <=> ((~![B: $i] : ((~l1_cat_1(B)) | (~v2_cat_1(B)) | ![C: $i] : ((~l1_cat_1(C)) | (~v2_cat_1(C)) | ![D: $i] : ((~m2_cat_1(D, B, C)) | ![E: $i] : ((~m2_cat_1(E, B, C)) | ![F: $i] : ((~m2_cat_1(F, B, C)) | ![G: $i] : ((~m2_cat_1(G, C, B!1)) | ![H: $i] : ((~m2_nattra_1(H, B, C, D, E)) | ![I: $i] : ((~m2_nattra_1(I, B, C, E, F)) | (~r2_nattra_1(B, C, D, E)) | (~r2_nattra_1(B, C, E, F)) | r4_nattra_1(u1_cat_1(B), u2_cat_1(B!1), u1_cat_1(B), u2_cat_1(B!1), k6_isocat_1(B, C, B!1, D, F, k8_nattra_1(B, C, D, E, F, H, I), G), k8_nattra_1(B, B!1, k2_isocat_1(B, C, B!1, D, G), k2_isocat_1(B, C, B!1, E, G), k2_isocat_1(B, C, B!1, F, G), k6_isocat_1(B, C, B!1, D, E, H, G), k6_isocat_1(B, C, B!1, E, F, I, G)))))))))))) | (~l1_cat_1(A!0)) | (~v2_cat_1(A!0)) | ![C: $i] : ((~l1_cat_1(C)) | (~v2_cat_1(C)) | ![D: $i] : ((~m2_cat_1(D, A!0, C)) | ![E: $i] : ((~m2_cat_1(E, A!0, C)) | ![F: $i] : ((~m2_cat_1(F, A!0, C)) | ![G: $i] : ((~m2_cat_1(G, C, B!1)) | ![H: $i] : ((~m2_nattra_1(H, A!0, C, D, E)) | ![I: $i] : ((~m2_nattra_1(I, A!0, C, E, F)) | (~r2_nattra_1(A!0, C, D, E)) | (~r2_nattra_1(A!0, C, E, F)) | r4_nattra_1(u1_cat_1(A!0), u2_cat_1(B!1), u1_cat_1(A!0), u2_cat_1(B!1), k6_isocat_1(A!0, C, B!1, D, F, k8_nattra_1(A!0, C, D, E, F, H, I), G), k8_nattra_1(A!0, B!1, k2_isocat_1(A!0, C, B!1, D, G), k2_isocat_1(A!0, C, B!1, E, G), k2_isocat_1(A!0, C, B!1, F, G), k6_isocat_1(A!0, C, B!1, D, E, H, G), k6_isocat_1(A!0, C, B!1, E, F, I, G)))))))))))),
% 18.79/18.96 inference(rewrite,[status(thm)],[])).
% 18.79/18.96 tff(251,plain,
% 18.79/18.96 ((~![B: $i] : ((~l1_cat_1(B)) | (~v2_cat_1(B)) | ![C: $i] : ((~l1_cat_1(C)) | (~v2_cat_1(C)) | ![D: $i] : ((~m2_cat_1(D, B, C)) | ![E: $i] : ((~m2_cat_1(E, B, C)) | ![F: $i] : ((~m2_cat_1(F, B, C)) | ![G: $i] : ((~m2_cat_1(G, C, B!1)) | ![H: $i] : ((~m2_nattra_1(H, B, C, D, E)) | ![I: $i] : ((~m2_nattra_1(I, B, C, E, F)) | (~r2_nattra_1(B, C, D, E)) | (~r2_nattra_1(B, C, E, F)) | r4_nattra_1(u1_cat_1(B), u2_cat_1(B!1), u1_cat_1(B), u2_cat_1(B!1), k6_isocat_1(B, C, B!1, D, F, k8_nattra_1(B, C, D, E, F, H, I), G), k8_nattra_1(B, B!1, k2_isocat_1(B, C, B!1, D, G), k2_isocat_1(B, C, B!1, E, G), k2_isocat_1(B, C, B!1, F, G), k6_isocat_1(B, C, B!1, D, E, H, G), k6_isocat_1(B, C, B!1, E, F, I, G)))))))))))) | ((~l1_cat_1(A!0)) | (~v2_cat_1(A!0)) | ![C: $i] : ((~l1_cat_1(C)) | (~v2_cat_1(C)) | ![D: $i] : ((~m2_cat_1(D, A!0, C)) | ![E: $i] : ((~m2_cat_1(E, A!0, C)) | ![F: $i] : ((~m2_cat_1(F, A!0, C)) | ![G: $i] : ((~m2_cat_1(G, C, B!1)) | ![H: $i] : ((~m2_nattra_1(H, A!0, C, D, E)) | ![I: $i] : ((~m2_nattra_1(I, A!0, C, E, F)) | (~r2_nattra_1(A!0, C, D, E)) | (~r2_nattra_1(A!0, C, E, F)) | r4_nattra_1(u1_cat_1(A!0), u2_cat_1(B!1), u1_cat_1(A!0), u2_cat_1(B!1), k6_isocat_1(A!0, C, B!1, D, F, k8_nattra_1(A!0, C, D, E, F, H, I), G), k8_nattra_1(A!0, B!1, k2_isocat_1(A!0, C, B!1, D, G), k2_isocat_1(A!0, C, B!1, E, G), k2_isocat_1(A!0, C, B!1, F, G), k6_isocat_1(A!0, C, B!1, D, E, H, G), k6_isocat_1(A!0, C, B!1, E, F, I, G)))))))))))),
% 18.79/18.96 inference(quant_inst,[status(thm)],[])).
% 18.79/18.96 tff(252,plain,
% 18.79/18.96 ((~![B: $i] : ((~l1_cat_1(B)) | (~v2_cat_1(B)) | ![C: $i] : ((~l1_cat_1(C)) | (~v2_cat_1(C)) | ![D: $i] : ((~m2_cat_1(D, B, C)) | ![E: $i] : ((~m2_cat_1(E, B, C)) | ![F: $i] : ((~m2_cat_1(F, B, C)) | ![G: $i] : ((~m2_cat_1(G, C, B!1)) | ![H: $i] : ((~m2_nattra_1(H, B, C, D, E)) | ![I: $i] : ((~m2_nattra_1(I, B, C, E, F)) | (~r2_nattra_1(B, C, D, E)) | (~r2_nattra_1(B, C, E, F)) | r4_nattra_1(u1_cat_1(B), u2_cat_1(B!1), u1_cat_1(B), u2_cat_1(B!1), k6_isocat_1(B, C, B!1, D, F, k8_nattra_1(B, C, D, E, F, H, I), G), k8_nattra_1(B, B!1, k2_isocat_1(B, C, B!1, D, G), k2_isocat_1(B, C, B!1, E, G), k2_isocat_1(B, C, B!1, F, G), k6_isocat_1(B, C, B!1, D, E, H, G), k6_isocat_1(B, C, B!1, E, F, I, G)))))))))))) | (~l1_cat_1(A!0)) | (~v2_cat_1(A!0)) | ![C: $i] : ((~l1_cat_1(C)) | (~v2_cat_1(C)) | ![D: $i] : ((~m2_cat_1(D, A!0, C)) | ![E: $i] : ((~m2_cat_1(E, A!0, C)) | ![F: $i] : ((~m2_cat_1(F, A!0, C)) | ![G: $i] : ((~m2_cat_1(G, C, B!1)) | ![H: $i] : ((~m2_nattra_1(H, A!0, C, D, E)) | ![I: $i] : ((~m2_nattra_1(I, A!0, C, E, F)) | (~r2_nattra_1(A!0, C, D, E)) | (~r2_nattra_1(A!0, C, E, F)) | r4_nattra_1(u1_cat_1(A!0), u2_cat_1(B!1), u1_cat_1(A!0), u2_cat_1(B!1), k6_isocat_1(A!0, C, B!1, D, F, k8_nattra_1(A!0, C, D, E, F, H, I), G), k8_nattra_1(A!0, B!1, k2_isocat_1(A!0, C, B!1, D, G), k2_isocat_1(A!0, C, B!1, E, G), k2_isocat_1(A!0, C, B!1, F, G), k6_isocat_1(A!0, C, B!1, D, E, H, G), k6_isocat_1(A!0, C, B!1, E, F, I, G))))))))))),
% 18.79/18.96 inference(modus_ponens,[status(thm)],[251, 250])).
% 18.79/18.96 tff(253,plain,
% 18.79/18.96 (![C: $i] : ((~l1_cat_1(C)) | (~v2_cat_1(C)) | ![D: $i] : ((~m2_cat_1(D, A!0, C)) | ![E: $i] : ((~m2_cat_1(E, A!0, C)) | ![F: $i] : ((~m2_cat_1(F, A!0, C)) | ![G: $i] : ((~m2_cat_1(G, C, B!1)) | ![H: $i] : ((~m2_nattra_1(H, A!0, C, D, E)) | ![I: $i] : ((~m2_nattra_1(I, A!0, C, E, F)) | (~r2_nattra_1(A!0, C, D, E)) | (~r2_nattra_1(A!0, C, E, F)) | r4_nattra_1(u1_cat_1(A!0), u2_cat_1(B!1), u1_cat_1(A!0), u2_cat_1(B!1), k6_isocat_1(A!0, C, B!1, D, F, k8_nattra_1(A!0, C, D, E, F, H, I), G), k8_nattra_1(A!0, B!1, k2_isocat_1(A!0, C, B!1, D, G), k2_isocat_1(A!0, C, B!1, E, G), k2_isocat_1(A!0, C, B!1, F, G), k6_isocat_1(A!0, C, B!1, D, E, H, G), k6_isocat_1(A!0, C, B!1, E, F, I, G))))))))))),
% 18.79/18.96 inference(unit_resolution,[status(thm)],[252, 45, 44, 249])).
% 18.79/18.96 tff(254,plain,
% 18.79/18.96 (((~![C: $i] : ((~l1_cat_1(C)) | (~v2_cat_1(C)) | ![D: $i] : ((~m2_cat_1(D, A!0, C)) | ![E: $i] : ((~m2_cat_1(E, A!0, C)) | ![F: $i] : ((~m2_cat_1(F, A!0, C)) | ![G: $i] : ((~m2_cat_1(G, C, B!1)) | ![H: $i] : ((~m2_nattra_1(H, A!0, C, D, E)) | ![I: $i] : ((~m2_nattra_1(I, A!0, C, E, F)) | (~r2_nattra_1(A!0, C, D, E)) | (~r2_nattra_1(A!0, C, E, F)) | r4_nattra_1(u1_cat_1(A!0), u2_cat_1(B!1), u1_cat_1(A!0), u2_cat_1(B!1), k6_isocat_1(A!0, C, B!1, D, F, k8_nattra_1(A!0, C, D, E, F, H, I), G), k8_nattra_1(A!0, B!1, k2_isocat_1(A!0, C, B!1, D, G), k2_isocat_1(A!0, C, B!1, E, G), k2_isocat_1(A!0, C, B!1, F, G), k6_isocat_1(A!0, C, B!1, D, E, H, G), k6_isocat_1(A!0, C, B!1, E, F, I, G))))))))))) | ((~l1_cat_1(k11_cat_2(B!1, C!2))) | (~v2_cat_1(k11_cat_2(B!1, C!2))) | ![D: $i] : ((~m2_cat_1(D, A!0, k11_cat_2(B!1, C!2))) | ![E: $i] : ((~m2_cat_1(E, A!0, k11_cat_2(B!1, C!2))) | ![F: $i] : ((~m2_cat_1(F, A!0, k11_cat_2(B!1, C!2))) | ![G: $i] : ((~m2_cat_1(G, k11_cat_2(B!1, C!2), B!1)) | ![H: $i] : ((~m2_nattra_1(H, A!0, k11_cat_2(B!1, C!2), D, E)) | ![I: $i] : ((~m2_nattra_1(I, A!0, k11_cat_2(B!1, C!2), E, F)) | (~r2_nattra_1(A!0, k11_cat_2(B!1, C!2), D, E)) | (~r2_nattra_1(A!0, k11_cat_2(B!1, C!2), E, F)) | r4_nattra_1(u1_cat_1(A!0), u2_cat_1(B!1), u1_cat_1(A!0), u2_cat_1(B!1), k6_isocat_1(A!0, k11_cat_2(B!1, C!2), B!1, D, F, k8_nattra_1(A!0, k11_cat_2(B!1, C!2), D, E, F, H, I), G), k8_nattra_1(A!0, B!1, k2_isocat_1(A!0, k11_cat_2(B!1, C!2), B!1, D, G), k2_isocat_1(A!0, k11_cat_2(B!1, C!2), B!1, E, G), k2_isocat_1(A!0, k11_cat_2(B!1, C!2), B!1, F, G), k6_isocat_1(A!0, k11_cat_2(B!1, C!2), B!1, D, E, H, G), k6_isocat_1(A!0, k11_cat_2(B!1, C!2), B!1, E, F, I, G))))))))))) <=> ((~![C: $i] : ((~l1_cat_1(C)) | (~v2_cat_1(C)) | ![D: $i] : ((~m2_cat_1(D, A!0, C)) | ![E: $i] : ((~m2_cat_1(E, A!0, C)) | ![F: $i] : ((~m2_cat_1(F, A!0, C)) | ![G: $i] : ((~m2_cat_1(G, C, B!1)) | ![H: $i] : ((~m2_nattra_1(H, A!0, C, D, E)) | ![I: $i] : ((~m2_nattra_1(I, A!0, C, E, F)) | (~r2_nattra_1(A!0, C, D, E)) | (~r2_nattra_1(A!0, C, E, F)) | r4_nattra_1(u1_cat_1(A!0), u2_cat_1(B!1), u1_cat_1(A!0), u2_cat_1(B!1), k6_isocat_1(A!0, C, B!1, D, F, k8_nattra_1(A!0, C, D, E, F, H, I), G), k8_nattra_1(A!0, B!1, k2_isocat_1(A!0, C, B!1, D, G), k2_isocat_1(A!0, C, B!1, E, G), k2_isocat_1(A!0, C, B!1, F, G), k6_isocat_1(A!0, C, B!1, D, E, H, G), k6_isocat_1(A!0, C, B!1, E, F, I, G))))))))))) | (~l1_cat_1(k11_cat_2(B!1, C!2))) | (~v2_cat_1(k11_cat_2(B!1, C!2))) | ![D: $i] : ((~m2_cat_1(D, A!0, k11_cat_2(B!1, C!2))) | ![E: $i] : ((~m2_cat_1(E, A!0, k11_cat_2(B!1, C!2))) | ![F: $i] : ((~m2_cat_1(F, A!0, k11_cat_2(B!1, C!2))) | ![G: $i] : ((~m2_cat_1(G, k11_cat_2(B!1, C!2), B!1)) | ![H: $i] : ((~m2_nattra_1(H, A!0, k11_cat_2(B!1, C!2), D, E)) | ![I: $i] : ((~m2_nattra_1(I, A!0, k11_cat_2(B!1, C!2), E, F)) | (~r2_nattra_1(A!0, k11_cat_2(B!1, C!2), D, E)) | (~r2_nattra_1(A!0, k11_cat_2(B!1, C!2), E, F)) | r4_nattra_1(u1_cat_1(A!0), u2_cat_1(B!1), u1_cat_1(A!0), u2_cat_1(B!1), k6_isocat_1(A!0, k11_cat_2(B!1, C!2), B!1, D, F, k8_nattra_1(A!0, k11_cat_2(B!1, C!2), D, E, F, H, I), G), k8_nattra_1(A!0, B!1, k2_isocat_1(A!0, k11_cat_2(B!1, C!2), B!1, D, G), k2_isocat_1(A!0, k11_cat_2(B!1, C!2), B!1, E, G), k2_isocat_1(A!0, k11_cat_2(B!1, C!2), B!1, F, G), k6_isocat_1(A!0, k11_cat_2(B!1, C!2), B!1, D, E, H, G), k6_isocat_1(A!0, k11_cat_2(B!1, C!2), B!1, E, F, I, G))))))))))),
% 18.79/18.96 inference(rewrite,[status(thm)],[])).
% 18.79/18.96 tff(255,plain,
% 18.79/18.96 ((~![C: $i] : ((~l1_cat_1(C)) | (~v2_cat_1(C)) | ![D: $i] : ((~m2_cat_1(D, A!0, C)) | ![E: $i] : ((~m2_cat_1(E, A!0, C)) | ![F: $i] : ((~m2_cat_1(F, A!0, C)) | ![G: $i] : ((~m2_cat_1(G, C, B!1)) | ![H: $i] : ((~m2_nattra_1(H, A!0, C, D, E)) | ![I: $i] : ((~m2_nattra_1(I, A!0, C, E, F)) | (~r2_nattra_1(A!0, C, D, E)) | (~r2_nattra_1(A!0, C, E, F)) | r4_nattra_1(u1_cat_1(A!0), u2_cat_1(B!1), u1_cat_1(A!0), u2_cat_1(B!1), k6_isocat_1(A!0, C, B!1, D, F, k8_nattra_1(A!0, C, D, E, F, H, I), G), k8_nattra_1(A!0, B!1, k2_isocat_1(A!0, C, B!1, D, G), k2_isocat_1(A!0, C, B!1, E, G), k2_isocat_1(A!0, C, B!1, F, G), k6_isocat_1(A!0, C, B!1, D, E, H, G), k6_isocat_1(A!0, C, B!1, E, F, I, G))))))))))) | ((~l1_cat_1(k11_cat_2(B!1, C!2))) | (~v2_cat_1(k11_cat_2(B!1, C!2))) | ![D: $i] : ((~m2_cat_1(D, A!0, k11_cat_2(B!1, C!2))) | ![E: $i] : ((~m2_cat_1(E, A!0, k11_cat_2(B!1, C!2))) | ![F: $i] : ((~m2_cat_1(F, A!0, k11_cat_2(B!1, C!2))) | ![G: $i] : ((~m2_cat_1(G, k11_cat_2(B!1, C!2), B!1)) | ![H: $i] : ((~m2_nattra_1(H, A!0, k11_cat_2(B!1, C!2), D, E)) | ![I: $i] : ((~m2_nattra_1(I, A!0, k11_cat_2(B!1, C!2), E, F)) | (~r2_nattra_1(A!0, k11_cat_2(B!1, C!2), D, E)) | (~r2_nattra_1(A!0, k11_cat_2(B!1, C!2), E, F)) | r4_nattra_1(u1_cat_1(A!0), u2_cat_1(B!1), u1_cat_1(A!0), u2_cat_1(B!1), k6_isocat_1(A!0, k11_cat_2(B!1, C!2), B!1, D, F, k8_nattra_1(A!0, k11_cat_2(B!1, C!2), D, E, F, H, I), G), k8_nattra_1(A!0, B!1, k2_isocat_1(A!0, k11_cat_2(B!1, C!2), B!1, D, G), k2_isocat_1(A!0, k11_cat_2(B!1, C!2), B!1, E, G), k2_isocat_1(A!0, k11_cat_2(B!1, C!2), B!1, F, G), k6_isocat_1(A!0, k11_cat_2(B!1, C!2), B!1, D, E, H, G), k6_isocat_1(A!0, k11_cat_2(B!1, C!2), B!1, E, F, I, G))))))))))),
% 18.79/18.96 inference(quant_inst,[status(thm)],[])).
% 18.79/18.96 tff(256,plain,
% 18.79/18.96 ((~![C: $i] : ((~l1_cat_1(C)) | (~v2_cat_1(C)) | ![D: $i] : ((~m2_cat_1(D, A!0, C)) | ![E: $i] : ((~m2_cat_1(E, A!0, C)) | ![F: $i] : ((~m2_cat_1(F, A!0, C)) | ![G: $i] : ((~m2_cat_1(G, C, B!1)) | ![H: $i] : ((~m2_nattra_1(H, A!0, C, D, E)) | ![I: $i] : ((~m2_nattra_1(I, A!0, C, E, F)) | (~r2_nattra_1(A!0, C, D, E)) | (~r2_nattra_1(A!0, C, E, F)) | r4_nattra_1(u1_cat_1(A!0), u2_cat_1(B!1), u1_cat_1(A!0), u2_cat_1(B!1), k6_isocat_1(A!0, C, B!1, D, F, k8_nattra_1(A!0, C, D, E, F, H, I), G), k8_nattra_1(A!0, B!1, k2_isocat_1(A!0, C, B!1, D, G), k2_isocat_1(A!0, C, B!1, E, G), k2_isocat_1(A!0, C, B!1, F, G), k6_isocat_1(A!0, C, B!1, D, E, H, G), k6_isocat_1(A!0, C, B!1, E, F, I, G))))))))))) | (~l1_cat_1(k11_cat_2(B!1, C!2))) | (~v2_cat_1(k11_cat_2(B!1, C!2))) | ![D: $i] : ((~m2_cat_1(D, A!0, k11_cat_2(B!1, C!2))) | ![E: $i] : ((~m2_cat_1(E, A!0, k11_cat_2(B!1, C!2))) | ![F: $i] : ((~m2_cat_1(F, A!0, k11_cat_2(B!1, C!2))) | ![G: $i] : ((~m2_cat_1(G, k11_cat_2(B!1, C!2), B!1)) | ![H: $i] : ((~m2_nattra_1(H, A!0, k11_cat_2(B!1, C!2), D, E)) | ![I: $i] : ((~m2_nattra_1(I, A!0, k11_cat_2(B!1, C!2), E, F)) | (~r2_nattra_1(A!0, k11_cat_2(B!1, C!2), D, E)) | (~r2_nattra_1(A!0, k11_cat_2(B!1, C!2), E, F)) | r4_nattra_1(u1_cat_1(A!0), u2_cat_1(B!1), u1_cat_1(A!0), u2_cat_1(B!1), k6_isocat_1(A!0, k11_cat_2(B!1, C!2), B!1, D, F, k8_nattra_1(A!0, k11_cat_2(B!1, C!2), D, E, F, H, I), G), k8_nattra_1(A!0, B!1, k2_isocat_1(A!0, k11_cat_2(B!1, C!2), B!1, D, G), k2_isocat_1(A!0, k11_cat_2(B!1, C!2), B!1, E, G), k2_isocat_1(A!0, k11_cat_2(B!1, C!2), B!1, F, G), k6_isocat_1(A!0, k11_cat_2(B!1, C!2), B!1, D, E, H, G), k6_isocat_1(A!0, k11_cat_2(B!1, C!2), B!1, E, F, I, G)))))))))),
% 18.79/18.96 inference(modus_ponens,[status(thm)],[255, 254])).
% 18.79/18.96 tff(257,plain,
% 18.79/18.96 (![D: $i] : ((~m2_cat_1(D, A!0, k11_cat_2(B!1, C!2))) | ![E: $i] : ((~m2_cat_1(E, A!0, k11_cat_2(B!1, C!2))) | ![F: $i] : ((~m2_cat_1(F, A!0, k11_cat_2(B!1, C!2))) | ![G: $i] : ((~m2_cat_1(G, k11_cat_2(B!1, C!2), B!1)) | ![H: $i] : ((~m2_nattra_1(H, A!0, k11_cat_2(B!1, C!2), D, E)) | ![I: $i] : ((~m2_nattra_1(I, A!0, k11_cat_2(B!1, C!2), E, F)) | (~r2_nattra_1(A!0, k11_cat_2(B!1, C!2), D, E)) | (~r2_nattra_1(A!0, k11_cat_2(B!1, C!2), E, F)) | r4_nattra_1(u1_cat_1(A!0), u2_cat_1(B!1), u1_cat_1(A!0), u2_cat_1(B!1), k6_isocat_1(A!0, k11_cat_2(B!1, C!2), B!1, D, F, k8_nattra_1(A!0, k11_cat_2(B!1, C!2), D, E, F, H, I), G), k8_nattra_1(A!0, B!1, k2_isocat_1(A!0, k11_cat_2(B!1, C!2), B!1, D, G), k2_isocat_1(A!0, k11_cat_2(B!1, C!2), B!1, E, G), k2_isocat_1(A!0, k11_cat_2(B!1, C!2), B!1, F, G), k6_isocat_1(A!0, k11_cat_2(B!1, C!2), B!1, D, E, H, G), k6_isocat_1(A!0, k11_cat_2(B!1, C!2), B!1, E, F, I, G)))))))))),
% 18.79/18.96 inference(unit_resolution,[status(thm)],[256, 195, 193, 253])).
% 18.79/18.96 tff(258,plain,
% 18.79/18.96 (((~![D: $i] : ((~m2_cat_1(D, A!0, k11_cat_2(B!1, C!2))) | ![E: $i] : ((~m2_cat_1(E, A!0, k11_cat_2(B!1, C!2))) | ![F: $i] : ((~m2_cat_1(F, A!0, k11_cat_2(B!1, C!2))) | ![G: $i] : ((~m2_cat_1(G, k11_cat_2(B!1, C!2), B!1)) | ![H: $i] : ((~m2_nattra_1(H, A!0, k11_cat_2(B!1, C!2), D, E)) | ![I: $i] : ((~m2_nattra_1(I, A!0, k11_cat_2(B!1, C!2), E, F)) | (~r2_nattra_1(A!0, k11_cat_2(B!1, C!2), D, E)) | (~r2_nattra_1(A!0, k11_cat_2(B!1, C!2), E, F)) | r4_nattra_1(u1_cat_1(A!0), u2_cat_1(B!1), u1_cat_1(A!0), u2_cat_1(B!1), k6_isocat_1(A!0, k11_cat_2(B!1, C!2), B!1, D, F, k8_nattra_1(A!0, k11_cat_2(B!1, C!2), D, E, F, H, I), G), k8_nattra_1(A!0, B!1, k2_isocat_1(A!0, k11_cat_2(B!1, C!2), B!1, D, G), k2_isocat_1(A!0, k11_cat_2(B!1, C!2), B!1, E, G), k2_isocat_1(A!0, k11_cat_2(B!1, C!2), B!1, F, G), k6_isocat_1(A!0, k11_cat_2(B!1, C!2), B!1, D, E, H, G), k6_isocat_1(A!0, k11_cat_2(B!1, C!2), B!1, E, F, I, G)))))))))) | ((~m2_cat_1(D!3, A!0, k11_cat_2(B!1, C!2))) | ![E: $i] : ((~m2_cat_1(E, A!0, k11_cat_2(B!1, C!2))) | ![F: $i] : ((~m2_cat_1(F, A!0, k11_cat_2(B!1, C!2))) | ![G: $i] : ((~m2_cat_1(G, k11_cat_2(B!1, C!2), B!1)) | ![H: $i] : ((~m2_nattra_1(H, A!0, k11_cat_2(B!1, C!2), D!3, E)) | ![I: $i] : ((~m2_nattra_1(I, A!0, k11_cat_2(B!1, C!2), E, F)) | (~r2_nattra_1(A!0, k11_cat_2(B!1, C!2), E, F)) | (~r2_nattra_1(A!0, k11_cat_2(B!1, C!2), D!3, E)) | r4_nattra_1(u1_cat_1(A!0), u2_cat_1(B!1), u1_cat_1(A!0), u2_cat_1(B!1), k6_isocat_1(A!0, k11_cat_2(B!1, C!2), B!1, D!3, F, k8_nattra_1(A!0, k11_cat_2(B!1, C!2), D!3, E, F, H, I), G), k8_nattra_1(A!0, B!1, k2_isocat_1(A!0, k11_cat_2(B!1, C!2), B!1, D!3, G), k2_isocat_1(A!0, k11_cat_2(B!1, C!2), B!1, E, G), k2_isocat_1(A!0, k11_cat_2(B!1, C!2), B!1, F, G), k6_isocat_1(A!0, k11_cat_2(B!1, C!2), B!1, D!3, E, H, G), k6_isocat_1(A!0, k11_cat_2(B!1, C!2), B!1, E, F, I, G)))))))))) <=> ((~![D: $i] : ((~m2_cat_1(D, A!0, k11_cat_2(B!1, C!2))) | ![E: $i] : ((~m2_cat_1(E, A!0, k11_cat_2(B!1, C!2))) | ![F: $i] : ((~m2_cat_1(F, A!0, k11_cat_2(B!1, C!2))) | ![G: $i] : ((~m2_cat_1(G, k11_cat_2(B!1, C!2), B!1)) | ![H: $i] : ((~m2_nattra_1(H, A!0, k11_cat_2(B!1, C!2), D, E)) | ![I: $i] : ((~m2_nattra_1(I, A!0, k11_cat_2(B!1, C!2), E, F)) | (~r2_nattra_1(A!0, k11_cat_2(B!1, C!2), D, E)) | (~r2_nattra_1(A!0, k11_cat_2(B!1, C!2), E, F)) | r4_nattra_1(u1_cat_1(A!0), u2_cat_1(B!1), u1_cat_1(A!0), u2_cat_1(B!1), k6_isocat_1(A!0, k11_cat_2(B!1, C!2), B!1, D, F, k8_nattra_1(A!0, k11_cat_2(B!1, C!2), D, E, F, H, I), G), k8_nattra_1(A!0, B!1, k2_isocat_1(A!0, k11_cat_2(B!1, C!2), B!1, D, G), k2_isocat_1(A!0, k11_cat_2(B!1, C!2), B!1, E, G), k2_isocat_1(A!0, k11_cat_2(B!1, C!2), B!1, F, G), k6_isocat_1(A!0, k11_cat_2(B!1, C!2), B!1, D, E, H, G), k6_isocat_1(A!0, k11_cat_2(B!1, C!2), B!1, E, F, I, G)))))))))) | (~m2_cat_1(D!3, A!0, k11_cat_2(B!1, C!2))) | ![E: $i] : ((~m2_cat_1(E, A!0, k11_cat_2(B!1, C!2))) | ![F: $i] : ((~m2_cat_1(F, A!0, k11_cat_2(B!1, C!2))) | ![G: $i] : ((~m2_cat_1(G, k11_cat_2(B!1, C!2), B!1)) | ![H: $i] : ((~m2_nattra_1(H, A!0, k11_cat_2(B!1, C!2), D!3, E)) | ![I: $i] : ((~m2_nattra_1(I, A!0, k11_cat_2(B!1, C!2), E, F)) | (~r2_nattra_1(A!0, k11_cat_2(B!1, C!2), E, F)) | (~r2_nattra_1(A!0, k11_cat_2(B!1, C!2), D!3, E)) | r4_nattra_1(u1_cat_1(A!0), u2_cat_1(B!1), u1_cat_1(A!0), u2_cat_1(B!1), k6_isocat_1(A!0, k11_cat_2(B!1, C!2), B!1, D!3, F, k8_nattra_1(A!0, k11_cat_2(B!1, C!2), D!3, E, F, H, I), G), k8_nattra_1(A!0, B!1, k2_isocat_1(A!0, k11_cat_2(B!1, C!2), B!1, D!3, G), k2_isocat_1(A!0, k11_cat_2(B!1, C!2), B!1, E, G), k2_isocat_1(A!0, k11_cat_2(B!1, C!2), B!1, F, G), k6_isocat_1(A!0, k11_cat_2(B!1, C!2), B!1, D!3, E, H, G), k6_isocat_1(A!0, k11_cat_2(B!1, C!2), B!1, E, F, I, G)))))))))),
% 18.79/18.96 inference(rewrite,[status(thm)],[])).
% 18.79/18.96 tff(259,plain,
% 18.79/18.96 (((~m2_cat_1(D!3, A!0, k11_cat_2(B!1, C!2))) | ![E: $i] : ((~m2_cat_1(E, A!0, k11_cat_2(B!1, C!2))) | ![F: $i] : ((~m2_cat_1(F, A!0, k11_cat_2(B!1, C!2))) | ![G: $i] : ((~m2_cat_1(G, k11_cat_2(B!1, C!2), B!1)) | ![H: $i] : ((~m2_nattra_1(H, A!0, k11_cat_2(B!1, C!2), D!3, E)) | ![I: $i] : ((~m2_nattra_1(I, A!0, k11_cat_2(B!1, C!2), E, F)) | (~r2_nattra_1(A!0, k11_cat_2(B!1, C!2), D!3, E)) | (~r2_nattra_1(A!0, k11_cat_2(B!1, C!2), E, F)) | r4_nattra_1(u1_cat_1(A!0), u2_cat_1(B!1), u1_cat_1(A!0), u2_cat_1(B!1), k6_isocat_1(A!0, k11_cat_2(B!1, C!2), B!1, D!3, F, k8_nattra_1(A!0, k11_cat_2(B!1, C!2), D!3, E, F, H, I), G), k8_nattra_1(A!0, B!1, k2_isocat_1(A!0, k11_cat_2(B!1, C!2), B!1, D!3, G), k2_isocat_1(A!0, k11_cat_2(B!1, C!2), B!1, E, G), k2_isocat_1(A!0, k11_cat_2(B!1, C!2), B!1, F, G), k6_isocat_1(A!0, k11_cat_2(B!1, C!2), B!1, D!3, E, H, G), k6_isocat_1(A!0, k11_cat_2(B!1, C!2), B!1, E, F, I, G))))))))) <=> ((~m2_cat_1(D!3, A!0, k11_cat_2(B!1, C!2))) | ![E: $i] : ((~m2_cat_1(E, A!0, k11_cat_2(B!1, C!2))) | ![F: $i] : ((~m2_cat_1(F, A!0, k11_cat_2(B!1, C!2))) | ![G: $i] : ((~m2_cat_1(G, k11_cat_2(B!1, C!2), B!1)) | ![H: $i] : ((~m2_nattra_1(H, A!0, k11_cat_2(B!1, C!2), D!3, E)) | ![I: $i] : ((~m2_nattra_1(I, A!0, k11_cat_2(B!1, C!2), E, F)) | (~r2_nattra_1(A!0, k11_cat_2(B!1, C!2), E, F)) | (~r2_nattra_1(A!0, k11_cat_2(B!1, C!2), D!3, E)) | r4_nattra_1(u1_cat_1(A!0), u2_cat_1(B!1), u1_cat_1(A!0), u2_cat_1(B!1), k6_isocat_1(A!0, k11_cat_2(B!1, C!2), B!1, D!3, F, k8_nattra_1(A!0, k11_cat_2(B!1, C!2), D!3, E, F, H, I), G), k8_nattra_1(A!0, B!1, k2_isocat_1(A!0, k11_cat_2(B!1, C!2), B!1, D!3, G), k2_isocat_1(A!0, k11_cat_2(B!1, C!2), B!1, E, G), k2_isocat_1(A!0, k11_cat_2(B!1, C!2), B!1, F, G), k6_isocat_1(A!0, k11_cat_2(B!1, C!2), B!1, D!3, E, H, G), k6_isocat_1(A!0, k11_cat_2(B!1, C!2), B!1, E, F, I, G)))))))))),
% 18.79/18.96 inference(rewrite,[status(thm)],[])).
% 18.79/18.96 tff(260,plain,
% 18.79/18.96 (((~![D: $i] : ((~m2_cat_1(D, A!0, k11_cat_2(B!1, C!2))) | ![E: $i] : ((~m2_cat_1(E, A!0, k11_cat_2(B!1, C!2))) | ![F: $i] : ((~m2_cat_1(F, A!0, k11_cat_2(B!1, C!2))) | ![G: $i] : ((~m2_cat_1(G, k11_cat_2(B!1, C!2), B!1)) | ![H: $i] : ((~m2_nattra_1(H, A!0, k11_cat_2(B!1, C!2), D, E)) | ![I: $i] : ((~m2_nattra_1(I, A!0, k11_cat_2(B!1, C!2), E, F)) | (~r2_nattra_1(A!0, k11_cat_2(B!1, C!2), D, E)) | (~r2_nattra_1(A!0, k11_cat_2(B!1, C!2), E, F)) | r4_nattra_1(u1_cat_1(A!0), u2_cat_1(B!1), u1_cat_1(A!0), u2_cat_1(B!1), k6_isocat_1(A!0, k11_cat_2(B!1, C!2), B!1, D, F, k8_nattra_1(A!0, k11_cat_2(B!1, C!2), D, E, F, H, I), G), k8_nattra_1(A!0, B!1, k2_isocat_1(A!0, k11_cat_2(B!1, C!2), B!1, D, G), k2_isocat_1(A!0, k11_cat_2(B!1, C!2), B!1, E, G), k2_isocat_1(A!0, k11_cat_2(B!1, C!2), B!1, F, G), k6_isocat_1(A!0, k11_cat_2(B!1, C!2), B!1, D, E, H, G), k6_isocat_1(A!0, k11_cat_2(B!1, C!2), B!1, E, F, I, G)))))))))) | ((~m2_cat_1(D!3, A!0, k11_cat_2(B!1, C!2))) | ![E: $i] : ((~m2_cat_1(E, A!0, k11_cat_2(B!1, C!2))) | ![F: $i] : ((~m2_cat_1(F, A!0, k11_cat_2(B!1, C!2))) | ![G: $i] : ((~m2_cat_1(G, k11_cat_2(B!1, C!2), B!1)) | ![H: $i] : ((~m2_nattra_1(H, A!0, k11_cat_2(B!1, C!2), D!3, E)) | ![I: $i] : ((~m2_nattra_1(I, A!0, k11_cat_2(B!1, C!2), E, F)) | (~r2_nattra_1(A!0, k11_cat_2(B!1, C!2), D!3, E)) | (~r2_nattra_1(A!0, k11_cat_2(B!1, C!2), E, F)) | r4_nattra_1(u1_cat_1(A!0), u2_cat_1(B!1), u1_cat_1(A!0), u2_cat_1(B!1), k6_isocat_1(A!0, k11_cat_2(B!1, C!2), B!1, D!3, F, k8_nattra_1(A!0, k11_cat_2(B!1, C!2), D!3, E, F, H, I), G), k8_nattra_1(A!0, B!1, k2_isocat_1(A!0, k11_cat_2(B!1, C!2), B!1, D!3, G), k2_isocat_1(A!0, k11_cat_2(B!1, C!2), B!1, E, G), k2_isocat_1(A!0, k11_cat_2(B!1, C!2), B!1, F, G), k6_isocat_1(A!0, k11_cat_2(B!1, C!2), B!1, D!3, E, H, G), k6_isocat_1(A!0, k11_cat_2(B!1, C!2), B!1, E, F, I, G)))))))))) <=> ((~![D: $i] : ((~m2_cat_1(D, A!0, k11_cat_2(B!1, C!2))) | ![E: $i] : ((~m2_cat_1(E, A!0, k11_cat_2(B!1, C!2))) | ![F: $i] : ((~m2_cat_1(F, A!0, k11_cat_2(B!1, C!2))) | ![G: $i] : ((~m2_cat_1(G, k11_cat_2(B!1, C!2), B!1)) | ![H: $i] : ((~m2_nattra_1(H, A!0, k11_cat_2(B!1, C!2), D, E)) | ![I: $i] : ((~m2_nattra_1(I, A!0, k11_cat_2(B!1, C!2), E, F)) | (~r2_nattra_1(A!0, k11_cat_2(B!1, C!2), D, E)) | (~r2_nattra_1(A!0, k11_cat_2(B!1, C!2), E, F)) | r4_nattra_1(u1_cat_1(A!0), u2_cat_1(B!1), u1_cat_1(A!0), u2_cat_1(B!1), k6_isocat_1(A!0, k11_cat_2(B!1, C!2), B!1, D, F, k8_nattra_1(A!0, k11_cat_2(B!1, C!2), D, E, F, H, I), G), k8_nattra_1(A!0, B!1, k2_isocat_1(A!0, k11_cat_2(B!1, C!2), B!1, D, G), k2_isocat_1(A!0, k11_cat_2(B!1, C!2), B!1, E, G), k2_isocat_1(A!0, k11_cat_2(B!1, C!2), B!1, F, G), k6_isocat_1(A!0, k11_cat_2(B!1, C!2), B!1, D, E, H, G), k6_isocat_1(A!0, k11_cat_2(B!1, C!2), B!1, E, F, I, G)))))))))) | ((~m2_cat_1(D!3, A!0, k11_cat_2(B!1, C!2))) | ![E: $i] : ((~m2_cat_1(E, A!0, k11_cat_2(B!1, C!2))) | ![F: $i] : ((~m2_cat_1(F, A!0, k11_cat_2(B!1, C!2))) | ![G: $i] : ((~m2_cat_1(G, k11_cat_2(B!1, C!2), B!1)) | ![H: $i] : ((~m2_nattra_1(H, A!0, k11_cat_2(B!1, C!2), D!3, E)) | ![I: $i] : ((~m2_nattra_1(I, A!0, k11_cat_2(B!1, C!2), E, F)) | (~r2_nattra_1(A!0, k11_cat_2(B!1, C!2), E, F)) | (~r2_nattra_1(A!0, k11_cat_2(B!1, C!2), D!3, E)) | r4_nattra_1(u1_cat_1(A!0), u2_cat_1(B!1), u1_cat_1(A!0), u2_cat_1(B!1), k6_isocat_1(A!0, k11_cat_2(B!1, C!2), B!1, D!3, F, k8_nattra_1(A!0, k11_cat_2(B!1, C!2), D!3, E, F, H, I), G), k8_nattra_1(A!0, B!1, k2_isocat_1(A!0, k11_cat_2(B!1, C!2), B!1, D!3, G), k2_isocat_1(A!0, k11_cat_2(B!1, C!2), B!1, E, G), k2_isocat_1(A!0, k11_cat_2(B!1, C!2), B!1, F, G), k6_isocat_1(A!0, k11_cat_2(B!1, C!2), B!1, D!3, E, H, G), k6_isocat_1(A!0, k11_cat_2(B!1, C!2), B!1, E, F, I, G))))))))))),
% 18.80/18.97 inference(monotonicity,[status(thm)],[259])).
% 18.80/18.97 tff(261,plain,
% 18.80/18.97 (((~![D: $i] : ((~m2_cat_1(D, A!0, k11_cat_2(B!1, C!2))) | ![E: $i] : ((~m2_cat_1(E, A!0, k11_cat_2(B!1, C!2))) | ![F: $i] : ((~m2_cat_1(F, A!0, k11_cat_2(B!1, C!2))) | ![G: $i] : ((~m2_cat_1(G, k11_cat_2(B!1, C!2), B!1)) | ![H: $i] : ((~m2_nattra_1(H, A!0, k11_cat_2(B!1, C!2), D, E)) | ![I: $i] : ((~m2_nattra_1(I, A!0, k11_cat_2(B!1, C!2), E, F)) | (~r2_nattra_1(A!0, k11_cat_2(B!1, C!2), D, E)) | (~r2_nattra_1(A!0, k11_cat_2(B!1, C!2), E, F)) | r4_nattra_1(u1_cat_1(A!0), u2_cat_1(B!1), u1_cat_1(A!0), u2_cat_1(B!1), k6_isocat_1(A!0, k11_cat_2(B!1, C!2), B!1, D, F, k8_nattra_1(A!0, k11_cat_2(B!1, C!2), D, E, F, H, I), G), k8_nattra_1(A!0, B!1, k2_isocat_1(A!0, k11_cat_2(B!1, C!2), B!1, D, G), k2_isocat_1(A!0, k11_cat_2(B!1, C!2), B!1, E, G), k2_isocat_1(A!0, k11_cat_2(B!1, C!2), B!1, F, G), k6_isocat_1(A!0, k11_cat_2(B!1, C!2), B!1, D, E, H, G), k6_isocat_1(A!0, k11_cat_2(B!1, C!2), B!1, E, F, I, G)))))))))) | ((~m2_cat_1(D!3, A!0, k11_cat_2(B!1, C!2))) | ![E: $i] : ((~m2_cat_1(E, A!0, k11_cat_2(B!1, C!2))) | ![F: $i] : ((~m2_cat_1(F, A!0, k11_cat_2(B!1, C!2))) | ![G: $i] : ((~m2_cat_1(G, k11_cat_2(B!1, C!2), B!1)) | ![H: $i] : ((~m2_nattra_1(H, A!0, k11_cat_2(B!1, C!2), D!3, E)) | ![I: $i] : ((~m2_nattra_1(I, A!0, k11_cat_2(B!1, C!2), E, F)) | (~r2_nattra_1(A!0, k11_cat_2(B!1, C!2), D!3, E)) | (~r2_nattra_1(A!0, k11_cat_2(B!1, C!2), E, F)) | r4_nattra_1(u1_cat_1(A!0), u2_cat_1(B!1), u1_cat_1(A!0), u2_cat_1(B!1), k6_isocat_1(A!0, k11_cat_2(B!1, C!2), B!1, D!3, F, k8_nattra_1(A!0, k11_cat_2(B!1, C!2), D!3, E, F, H, I), G), k8_nattra_1(A!0, B!1, k2_isocat_1(A!0, k11_cat_2(B!1, C!2), B!1, D!3, G), k2_isocat_1(A!0, k11_cat_2(B!1, C!2), B!1, E, G), k2_isocat_1(A!0, k11_cat_2(B!1, C!2), B!1, F, G), k6_isocat_1(A!0, k11_cat_2(B!1, C!2), B!1, D!3, E, H, G), k6_isocat_1(A!0, k11_cat_2(B!1, C!2), B!1, E, F, I, G)))))))))) <=> ((~![D: $i] : ((~m2_cat_1(D, A!0, k11_cat_2(B!1, C!2))) | ![E: $i] : ((~m2_cat_1(E, A!0, k11_cat_2(B!1, C!2))) | ![F: $i] : ((~m2_cat_1(F, A!0, k11_cat_2(B!1, C!2))) | ![G: $i] : ((~m2_cat_1(G, k11_cat_2(B!1, C!2), B!1)) | ![H: $i] : ((~m2_nattra_1(H, A!0, k11_cat_2(B!1, C!2), D, E)) | ![I: $i] : ((~m2_nattra_1(I, A!0, k11_cat_2(B!1, C!2), E, F)) | (~r2_nattra_1(A!0, k11_cat_2(B!1, C!2), D, E)) | (~r2_nattra_1(A!0, k11_cat_2(B!1, C!2), E, F)) | r4_nattra_1(u1_cat_1(A!0), u2_cat_1(B!1), u1_cat_1(A!0), u2_cat_1(B!1), k6_isocat_1(A!0, k11_cat_2(B!1, C!2), B!1, D, F, k8_nattra_1(A!0, k11_cat_2(B!1, C!2), D, E, F, H, I), G), k8_nattra_1(A!0, B!1, k2_isocat_1(A!0, k11_cat_2(B!1, C!2), B!1, D, G), k2_isocat_1(A!0, k11_cat_2(B!1, C!2), B!1, E, G), k2_isocat_1(A!0, k11_cat_2(B!1, C!2), B!1, F, G), k6_isocat_1(A!0, k11_cat_2(B!1, C!2), B!1, D, E, H, G), k6_isocat_1(A!0, k11_cat_2(B!1, C!2), B!1, E, F, I, G)))))))))) | (~m2_cat_1(D!3, A!0, k11_cat_2(B!1, C!2))) | ![E: $i] : ((~m2_cat_1(E, A!0, k11_cat_2(B!1, C!2))) | ![F: $i] : ((~m2_cat_1(F, A!0, k11_cat_2(B!1, C!2))) | ![G: $i] : ((~m2_cat_1(G, k11_cat_2(B!1, C!2), B!1)) | ![H: $i] : ((~m2_nattra_1(H, A!0, k11_cat_2(B!1, C!2), D!3, E)) | ![I: $i] : ((~m2_nattra_1(I, A!0, k11_cat_2(B!1, C!2), E, F)) | (~r2_nattra_1(A!0, k11_cat_2(B!1, C!2), E, F)) | (~r2_nattra_1(A!0, k11_cat_2(B!1, C!2), D!3, E)) | r4_nattra_1(u1_cat_1(A!0), u2_cat_1(B!1), u1_cat_1(A!0), u2_cat_1(B!1), k6_isocat_1(A!0, k11_cat_2(B!1, C!2), B!1, D!3, F, k8_nattra_1(A!0, k11_cat_2(B!1, C!2), D!3, E, F, H, I), G), k8_nattra_1(A!0, B!1, k2_isocat_1(A!0, k11_cat_2(B!1, C!2), B!1, D!3, G), k2_isocat_1(A!0, k11_cat_2(B!1, C!2), B!1, E, G), k2_isocat_1(A!0, k11_cat_2(B!1, C!2), B!1, F, G), k6_isocat_1(A!0, k11_cat_2(B!1, C!2), B!1, D!3, E, H, G), k6_isocat_1(A!0, k11_cat_2(B!1, C!2), B!1, E, F, I, G)))))))))),
% 18.80/18.97 inference(transitivity,[status(thm)],[260, 258])).
% 18.80/18.97 tff(262,plain,
% 18.80/18.97 ((~![D: $i] : ((~m2_cat_1(D, A!0, k11_cat_2(B!1, C!2))) | ![E: $i] : ((~m2_cat_1(E, A!0, k11_cat_2(B!1, C!2))) | ![F: $i] : ((~m2_cat_1(F, A!0, k11_cat_2(B!1, C!2))) | ![G: $i] : ((~m2_cat_1(G, k11_cat_2(B!1, C!2), B!1)) | ![H: $i] : ((~m2_nattra_1(H, A!0, k11_cat_2(B!1, C!2), D, E)) | ![I: $i] : ((~m2_nattra_1(I, A!0, k11_cat_2(B!1, C!2), E, F)) | (~r2_nattra_1(A!0, k11_cat_2(B!1, C!2), D, E)) | (~r2_nattra_1(A!0, k11_cat_2(B!1, C!2), E, F)) | r4_nattra_1(u1_cat_1(A!0), u2_cat_1(B!1), u1_cat_1(A!0), u2_cat_1(B!1), k6_isocat_1(A!0, k11_cat_2(B!1, C!2), B!1, D, F, k8_nattra_1(A!0, k11_cat_2(B!1, C!2), D, E, F, H, I), G), k8_nattra_1(A!0, B!1, k2_isocat_1(A!0, k11_cat_2(B!1, C!2), B!1, D, G), k2_isocat_1(A!0, k11_cat_2(B!1, C!2), B!1, E, G), k2_isocat_1(A!0, k11_cat_2(B!1, C!2), B!1, F, G), k6_isocat_1(A!0, k11_cat_2(B!1, C!2), B!1, D, E, H, G), k6_isocat_1(A!0, k11_cat_2(B!1, C!2), B!1, E, F, I, G)))))))))) | ((~m2_cat_1(D!3, A!0, k11_cat_2(B!1, C!2))) | ![E: $i] : ((~m2_cat_1(E, A!0, k11_cat_2(B!1, C!2))) | ![F: $i] : ((~m2_cat_1(F, A!0, k11_cat_2(B!1, C!2))) | ![G: $i] : ((~m2_cat_1(G, k11_cat_2(B!1, C!2), B!1)) | ![H: $i] : ((~m2_nattra_1(H, A!0, k11_cat_2(B!1, C!2), D!3, E)) | ![I: $i] : ((~m2_nattra_1(I, A!0, k11_cat_2(B!1, C!2), E, F)) | (~r2_nattra_1(A!0, k11_cat_2(B!1, C!2), D!3, E)) | (~r2_nattra_1(A!0, k11_cat_2(B!1, C!2), E, F)) | r4_nattra_1(u1_cat_1(A!0), u2_cat_1(B!1), u1_cat_1(A!0), u2_cat_1(B!1), k6_isocat_1(A!0, k11_cat_2(B!1, C!2), B!1, D!3, F, k8_nattra_1(A!0, k11_cat_2(B!1, C!2), D!3, E, F, H, I), G), k8_nattra_1(A!0, B!1, k2_isocat_1(A!0, k11_cat_2(B!1, C!2), B!1, D!3, G), k2_isocat_1(A!0, k11_cat_2(B!1, C!2), B!1, E, G), k2_isocat_1(A!0, k11_cat_2(B!1, C!2), B!1, F, G), k6_isocat_1(A!0, k11_cat_2(B!1, C!2), B!1, D!3, E, H, G), k6_isocat_1(A!0, k11_cat_2(B!1, C!2), B!1, E, F, I, G)))))))))),
% 18.80/18.97 inference(quant_inst,[status(thm)],[])).
% 18.80/18.97 tff(263,plain,
% 18.80/18.97 ((~![D: $i] : ((~m2_cat_1(D, A!0, k11_cat_2(B!1, C!2))) | ![E: $i] : ((~m2_cat_1(E, A!0, k11_cat_2(B!1, C!2))) | ![F: $i] : ((~m2_cat_1(F, A!0, k11_cat_2(B!1, C!2))) | ![G: $i] : ((~m2_cat_1(G, k11_cat_2(B!1, C!2), B!1)) | ![H: $i] : ((~m2_nattra_1(H, A!0, k11_cat_2(B!1, C!2), D, E)) | ![I: $i] : ((~m2_nattra_1(I, A!0, k11_cat_2(B!1, C!2), E, F)) | (~r2_nattra_1(A!0, k11_cat_2(B!1, C!2), D, E)) | (~r2_nattra_1(A!0, k11_cat_2(B!1, C!2), E, F)) | r4_nattra_1(u1_cat_1(A!0), u2_cat_1(B!1), u1_cat_1(A!0), u2_cat_1(B!1), k6_isocat_1(A!0, k11_cat_2(B!1, C!2), B!1, D, F, k8_nattra_1(A!0, k11_cat_2(B!1, C!2), D, E, F, H, I), G), k8_nattra_1(A!0, B!1, k2_isocat_1(A!0, k11_cat_2(B!1, C!2), B!1, D, G), k2_isocat_1(A!0, k11_cat_2(B!1, C!2), B!1, E, G), k2_isocat_1(A!0, k11_cat_2(B!1, C!2), B!1, F, G), k6_isocat_1(A!0, k11_cat_2(B!1, C!2), B!1, D, E, H, G), k6_isocat_1(A!0, k11_cat_2(B!1, C!2), B!1, E, F, I, G)))))))))) | (~m2_cat_1(D!3, A!0, k11_cat_2(B!1, C!2))) | ![E: $i] : ((~m2_cat_1(E, A!0, k11_cat_2(B!1, C!2))) | ![F: $i] : ((~m2_cat_1(F, A!0, k11_cat_2(B!1, C!2))) | ![G: $i] : ((~m2_cat_1(G, k11_cat_2(B!1, C!2), B!1)) | ![H: $i] : ((~m2_nattra_1(H, A!0, k11_cat_2(B!1, C!2), D!3, E)) | ![I: $i] : ((~m2_nattra_1(I, A!0, k11_cat_2(B!1, C!2), E, F)) | (~r2_nattra_1(A!0, k11_cat_2(B!1, C!2), E, F)) | (~r2_nattra_1(A!0, k11_cat_2(B!1, C!2), D!3, E)) | r4_nattra_1(u1_cat_1(A!0), u2_cat_1(B!1), u1_cat_1(A!0), u2_cat_1(B!1), k6_isocat_1(A!0, k11_cat_2(B!1, C!2), B!1, D!3, F, k8_nattra_1(A!0, k11_cat_2(B!1, C!2), D!3, E, F, H, I), G), k8_nattra_1(A!0, B!1, k2_isocat_1(A!0, k11_cat_2(B!1, C!2), B!1, D!3, G), k2_isocat_1(A!0, k11_cat_2(B!1, C!2), B!1, E, G), k2_isocat_1(A!0, k11_cat_2(B!1, C!2), B!1, F, G), k6_isocat_1(A!0, k11_cat_2(B!1, C!2), B!1, D!3, E, H, G), k6_isocat_1(A!0, k11_cat_2(B!1, C!2), B!1, E, F, I, G))))))))),
% 18.80/18.97 inference(modus_ponens,[status(thm)],[262, 261])).
% 18.80/18.97 tff(264,plain,
% 18.80/18.97 (![E: $i] : ((~m2_cat_1(E, A!0, k11_cat_2(B!1, C!2))) | ![F: $i] : ((~m2_cat_1(F, A!0, k11_cat_2(B!1, C!2))) | ![G: $i] : ((~m2_cat_1(G, k11_cat_2(B!1, C!2), B!1)) | ![H: $i] : ((~m2_nattra_1(H, A!0, k11_cat_2(B!1, C!2), D!3, E)) | ![I: $i] : ((~m2_nattra_1(I, A!0, k11_cat_2(B!1, C!2), E, F)) | (~r2_nattra_1(A!0, k11_cat_2(B!1, C!2), E, F)) | (~r2_nattra_1(A!0, k11_cat_2(B!1, C!2), D!3, E)) | r4_nattra_1(u1_cat_1(A!0), u2_cat_1(B!1), u1_cat_1(A!0), u2_cat_1(B!1), k6_isocat_1(A!0, k11_cat_2(B!1, C!2), B!1, D!3, F, k8_nattra_1(A!0, k11_cat_2(B!1, C!2), D!3, E, F, H, I), G), k8_nattra_1(A!0, B!1, k2_isocat_1(A!0, k11_cat_2(B!1, C!2), B!1, D!3, G), k2_isocat_1(A!0, k11_cat_2(B!1, C!2), B!1, E, G), k2_isocat_1(A!0, k11_cat_2(B!1, C!2), B!1, F, G), k6_isocat_1(A!0, k11_cat_2(B!1, C!2), B!1, D!3, E, H, G), k6_isocat_1(A!0, k11_cat_2(B!1, C!2), B!1, E, F, I, G))))))))),
% 18.80/18.97 inference(unit_resolution,[status(thm)],[263, 102, 257])).
% 18.80/18.97 tff(265,plain,
% 18.80/18.97 (((~![E: $i] : ((~m2_cat_1(E, A!0, k11_cat_2(B!1, C!2))) | ![F: $i] : ((~m2_cat_1(F, A!0, k11_cat_2(B!1, C!2))) | ![G: $i] : ((~m2_cat_1(G, k11_cat_2(B!1, C!2), B!1)) | ![H: $i] : ((~m2_nattra_1(H, A!0, k11_cat_2(B!1, C!2), D!3, E)) | ![I: $i] : ((~m2_nattra_1(I, A!0, k11_cat_2(B!1, C!2), E, F)) | (~r2_nattra_1(A!0, k11_cat_2(B!1, C!2), E, F)) | (~r2_nattra_1(A!0, k11_cat_2(B!1, C!2), D!3, E)) | r4_nattra_1(u1_cat_1(A!0), u2_cat_1(B!1), u1_cat_1(A!0), u2_cat_1(B!1), k6_isocat_1(A!0, k11_cat_2(B!1, C!2), B!1, D!3, F, k8_nattra_1(A!0, k11_cat_2(B!1, C!2), D!3, E, F, H, I), G), k8_nattra_1(A!0, B!1, k2_isocat_1(A!0, k11_cat_2(B!1, C!2), B!1, D!3, G), k2_isocat_1(A!0, k11_cat_2(B!1, C!2), B!1, E, G), k2_isocat_1(A!0, k11_cat_2(B!1, C!2), B!1, F, G), k6_isocat_1(A!0, k11_cat_2(B!1, C!2), B!1, D!3, E, H, G), k6_isocat_1(A!0, k11_cat_2(B!1, C!2), B!1, E, F, I, G))))))))) | ((~m2_cat_1(E!4, A!0, k11_cat_2(B!1, C!2))) | ![F: $i] : ((~m2_cat_1(F, A!0, k11_cat_2(B!1, C!2))) | ![G: $i] : ((~m2_cat_1(G, k11_cat_2(B!1, C!2), B!1)) | ![H: $i] : ((~m2_nattra_1(H, A!0, k11_cat_2(B!1, C!2), D!3, E!4)) | ![I: $i] : ((~m2_nattra_1(I, A!0, k11_cat_2(B!1, C!2), E!4, F)) | (~r2_nattra_1(A!0, k11_cat_2(B!1, C!2), E!4, F)) | (~r2_nattra_1(A!0, k11_cat_2(B!1, C!2), D!3, E!4)) | r4_nattra_1(u1_cat_1(A!0), u2_cat_1(B!1), u1_cat_1(A!0), u2_cat_1(B!1), k6_isocat_1(A!0, k11_cat_2(B!1, C!2), B!1, D!3, F, k8_nattra_1(A!0, k11_cat_2(B!1, C!2), D!3, E!4, F, H, I), G), k8_nattra_1(A!0, B!1, k2_isocat_1(A!0, k11_cat_2(B!1, C!2), B!1, D!3, G), k2_isocat_1(A!0, k11_cat_2(B!1, C!2), B!1, E!4, G), k2_isocat_1(A!0, k11_cat_2(B!1, C!2), B!1, F, G), k6_isocat_1(A!0, k11_cat_2(B!1, C!2), B!1, D!3, E!4, H, G), k6_isocat_1(A!0, k11_cat_2(B!1, C!2), B!1, E!4, F, I, G))))))))) <=> ((~![E: $i] : ((~m2_cat_1(E, A!0, k11_cat_2(B!1, C!2))) | ![F: $i] : ((~m2_cat_1(F, A!0, k11_cat_2(B!1, C!2))) | ![G: $i] : ((~m2_cat_1(G, k11_cat_2(B!1, C!2), B!1)) | ![H: $i] : ((~m2_nattra_1(H, A!0, k11_cat_2(B!1, C!2), D!3, E)) | ![I: $i] : ((~m2_nattra_1(I, A!0, k11_cat_2(B!1, C!2), E, F)) | (~r2_nattra_1(A!0, k11_cat_2(B!1, C!2), E, F)) | (~r2_nattra_1(A!0, k11_cat_2(B!1, C!2), D!3, E)) | r4_nattra_1(u1_cat_1(A!0), u2_cat_1(B!1), u1_cat_1(A!0), u2_cat_1(B!1), k6_isocat_1(A!0, k11_cat_2(B!1, C!2), B!1, D!3, F, k8_nattra_1(A!0, k11_cat_2(B!1, C!2), D!3, E, F, H, I), G), k8_nattra_1(A!0, B!1, k2_isocat_1(A!0, k11_cat_2(B!1, C!2), B!1, D!3, G), k2_isocat_1(A!0, k11_cat_2(B!1, C!2), B!1, E, G), k2_isocat_1(A!0, k11_cat_2(B!1, C!2), B!1, F, G), k6_isocat_1(A!0, k11_cat_2(B!1, C!2), B!1, D!3, E, H, G), k6_isocat_1(A!0, k11_cat_2(B!1, C!2), B!1, E, F, I, G))))))))) | (~m2_cat_1(E!4, A!0, k11_cat_2(B!1, C!2))) | ![F: $i] : ((~m2_cat_1(F, A!0, k11_cat_2(B!1, C!2))) | ![G: $i] : ((~m2_cat_1(G, k11_cat_2(B!1, C!2), B!1)) | ![H: $i] : ((~m2_nattra_1(H, A!0, k11_cat_2(B!1, C!2), D!3, E!4)) | ![I: $i] : ((~m2_nattra_1(I, A!0, k11_cat_2(B!1, C!2), E!4, F)) | (~r2_nattra_1(A!0, k11_cat_2(B!1, C!2), E!4, F)) | (~r2_nattra_1(A!0, k11_cat_2(B!1, C!2), D!3, E!4)) | r4_nattra_1(u1_cat_1(A!0), u2_cat_1(B!1), u1_cat_1(A!0), u2_cat_1(B!1), k6_isocat_1(A!0, k11_cat_2(B!1, C!2), B!1, D!3, F, k8_nattra_1(A!0, k11_cat_2(B!1, C!2), D!3, E!4, F, H, I), G), k8_nattra_1(A!0, B!1, k2_isocat_1(A!0, k11_cat_2(B!1, C!2), B!1, D!3, G), k2_isocat_1(A!0, k11_cat_2(B!1, C!2), B!1, E!4, G), k2_isocat_1(A!0, k11_cat_2(B!1, C!2), B!1, F, G), k6_isocat_1(A!0, k11_cat_2(B!1, C!2), B!1, D!3, E!4, H, G), k6_isocat_1(A!0, k11_cat_2(B!1, C!2), B!1, E!4, F, I, G))))))))),
% 18.80/18.97 inference(rewrite,[status(thm)],[])).
% 18.80/18.97 tff(266,plain,
% 18.80/18.97 ((~![E: $i] : ((~m2_cat_1(E, A!0, k11_cat_2(B!1, C!2))) | ![F: $i] : ((~m2_cat_1(F, A!0, k11_cat_2(B!1, C!2))) | ![G: $i] : ((~m2_cat_1(G, k11_cat_2(B!1, C!2), B!1)) | ![H: $i] : ((~m2_nattra_1(H, A!0, k11_cat_2(B!1, C!2), D!3, E)) | ![I: $i] : ((~m2_nattra_1(I, A!0, k11_cat_2(B!1, C!2), E, F)) | (~r2_nattra_1(A!0, k11_cat_2(B!1, C!2), E, F)) | (~r2_nattra_1(A!0, k11_cat_2(B!1, C!2), D!3, E)) | r4_nattra_1(u1_cat_1(A!0), u2_cat_1(B!1), u1_cat_1(A!0), u2_cat_1(B!1), k6_isocat_1(A!0, k11_cat_2(B!1, C!2), B!1, D!3, F, k8_nattra_1(A!0, k11_cat_2(B!1, C!2), D!3, E, F, H, I), G), k8_nattra_1(A!0, B!1, k2_isocat_1(A!0, k11_cat_2(B!1, C!2), B!1, D!3, G), k2_isocat_1(A!0, k11_cat_2(B!1, C!2), B!1, E, G), k2_isocat_1(A!0, k11_cat_2(B!1, C!2), B!1, F, G), k6_isocat_1(A!0, k11_cat_2(B!1, C!2), B!1, D!3, E, H, G), k6_isocat_1(A!0, k11_cat_2(B!1, C!2), B!1, E, F, I, G))))))))) | ((~m2_cat_1(E!4, A!0, k11_cat_2(B!1, C!2))) | ![F: $i] : ((~m2_cat_1(F, A!0, k11_cat_2(B!1, C!2))) | ![G: $i] : ((~m2_cat_1(G, k11_cat_2(B!1, C!2), B!1)) | ![H: $i] : ((~m2_nattra_1(H, A!0, k11_cat_2(B!1, C!2), D!3, E!4)) | ![I: $i] : ((~m2_nattra_1(I, A!0, k11_cat_2(B!1, C!2), E!4, F)) | (~r2_nattra_1(A!0, k11_cat_2(B!1, C!2), E!4, F)) | (~r2_nattra_1(A!0, k11_cat_2(B!1, C!2), D!3, E!4)) | r4_nattra_1(u1_cat_1(A!0), u2_cat_1(B!1), u1_cat_1(A!0), u2_cat_1(B!1), k6_isocat_1(A!0, k11_cat_2(B!1, C!2), B!1, D!3, F, k8_nattra_1(A!0, k11_cat_2(B!1, C!2), D!3, E!4, F, H, I), G), k8_nattra_1(A!0, B!1, k2_isocat_1(A!0, k11_cat_2(B!1, C!2), B!1, D!3, G), k2_isocat_1(A!0, k11_cat_2(B!1, C!2), B!1, E!4, G), k2_isocat_1(A!0, k11_cat_2(B!1, C!2), B!1, F, G), k6_isocat_1(A!0, k11_cat_2(B!1, C!2), B!1, D!3, E!4, H, G), k6_isocat_1(A!0, k11_cat_2(B!1, C!2), B!1, E!4, F, I, G))))))))),
% 18.80/18.98 inference(quant_inst,[status(thm)],[])).
% 18.80/18.98 tff(267,plain,
% 18.80/18.98 ((~![E: $i] : ((~m2_cat_1(E, A!0, k11_cat_2(B!1, C!2))) | ![F: $i] : ((~m2_cat_1(F, A!0, k11_cat_2(B!1, C!2))) | ![G: $i] : ((~m2_cat_1(G, k11_cat_2(B!1, C!2), B!1)) | ![H: $i] : ((~m2_nattra_1(H, A!0, k11_cat_2(B!1, C!2), D!3, E)) | ![I: $i] : ((~m2_nattra_1(I, A!0, k11_cat_2(B!1, C!2), E, F)) | (~r2_nattra_1(A!0, k11_cat_2(B!1, C!2), E, F)) | (~r2_nattra_1(A!0, k11_cat_2(B!1, C!2), D!3, E)) | r4_nattra_1(u1_cat_1(A!0), u2_cat_1(B!1), u1_cat_1(A!0), u2_cat_1(B!1), k6_isocat_1(A!0, k11_cat_2(B!1, C!2), B!1, D!3, F, k8_nattra_1(A!0, k11_cat_2(B!1, C!2), D!3, E, F, H, I), G), k8_nattra_1(A!0, B!1, k2_isocat_1(A!0, k11_cat_2(B!1, C!2), B!1, D!3, G), k2_isocat_1(A!0, k11_cat_2(B!1, C!2), B!1, E, G), k2_isocat_1(A!0, k11_cat_2(B!1, C!2), B!1, F, G), k6_isocat_1(A!0, k11_cat_2(B!1, C!2), B!1, D!3, E, H, G), k6_isocat_1(A!0, k11_cat_2(B!1, C!2), B!1, E, F, I, G))))))))) | (~m2_cat_1(E!4, A!0, k11_cat_2(B!1, C!2))) | ![F: $i] : ((~m2_cat_1(F, A!0, k11_cat_2(B!1, C!2))) | ![G: $i] : ((~m2_cat_1(G, k11_cat_2(B!1, C!2), B!1)) | ![H: $i] : ((~m2_nattra_1(H, A!0, k11_cat_2(B!1, C!2), D!3, E!4)) | ![I: $i] : ((~m2_nattra_1(I, A!0, k11_cat_2(B!1, C!2), E!4, F)) | (~r2_nattra_1(A!0, k11_cat_2(B!1, C!2), E!4, F)) | (~r2_nattra_1(A!0, k11_cat_2(B!1, C!2), D!3, E!4)) | r4_nattra_1(u1_cat_1(A!0), u2_cat_1(B!1), u1_cat_1(A!0), u2_cat_1(B!1), k6_isocat_1(A!0, k11_cat_2(B!1, C!2), B!1, D!3, F, k8_nattra_1(A!0, k11_cat_2(B!1, C!2), D!3, E!4, F, H, I), G), k8_nattra_1(A!0, B!1, k2_isocat_1(A!0, k11_cat_2(B!1, C!2), B!1, D!3, G), k2_isocat_1(A!0, k11_cat_2(B!1, C!2), B!1, E!4, G), k2_isocat_1(A!0, k11_cat_2(B!1, C!2), B!1, F, G), k6_isocat_1(A!0, k11_cat_2(B!1, C!2), B!1, D!3, E!4, H, G), k6_isocat_1(A!0, k11_cat_2(B!1, C!2), B!1, E!4, F, I, G)))))))),
% 18.80/18.98 inference(modus_ponens,[status(thm)],[266, 265])).
% 18.80/18.98 tff(268,plain,
% 18.80/18.98 (![F: $i] : ((~m2_cat_1(F, A!0, k11_cat_2(B!1, C!2))) | ![G: $i] : ((~m2_cat_1(G, k11_cat_2(B!1, C!2), B!1)) | ![H: $i] : ((~m2_nattra_1(H, A!0, k11_cat_2(B!1, C!2), D!3, E!4)) | ![I: $i] : ((~m2_nattra_1(I, A!0, k11_cat_2(B!1, C!2), E!4, F)) | (~r2_nattra_1(A!0, k11_cat_2(B!1, C!2), E!4, F)) | (~r2_nattra_1(A!0, k11_cat_2(B!1, C!2), D!3, E!4)) | r4_nattra_1(u1_cat_1(A!0), u2_cat_1(B!1), u1_cat_1(A!0), u2_cat_1(B!1), k6_isocat_1(A!0, k11_cat_2(B!1, C!2), B!1, D!3, F, k8_nattra_1(A!0, k11_cat_2(B!1, C!2), D!3, E!4, F, H, I), G), k8_nattra_1(A!0, B!1, k2_isocat_1(A!0, k11_cat_2(B!1, C!2), B!1, D!3, G), k2_isocat_1(A!0, k11_cat_2(B!1, C!2), B!1, E!4, G), k2_isocat_1(A!0, k11_cat_2(B!1, C!2), B!1, F, G), k6_isocat_1(A!0, k11_cat_2(B!1, C!2), B!1, D!3, E!4, H, G), k6_isocat_1(A!0, k11_cat_2(B!1, C!2), B!1, E!4, F, I, G)))))))),
% 18.80/18.98 inference(unit_resolution,[status(thm)],[267, 62, 264])).
% 18.80/18.98 tff(269,plain,
% 18.80/18.98 (((~![F: $i] : ((~m2_cat_1(F, A!0, k11_cat_2(B!1, C!2))) | ![G: $i] : ((~m2_cat_1(G, k11_cat_2(B!1, C!2), B!1)) | ![H: $i] : ((~m2_nattra_1(H, A!0, k11_cat_2(B!1, C!2), D!3, E!4)) | ![I: $i] : ((~m2_nattra_1(I, A!0, k11_cat_2(B!1, C!2), E!4, F)) | (~r2_nattra_1(A!0, k11_cat_2(B!1, C!2), E!4, F)) | (~r2_nattra_1(A!0, k11_cat_2(B!1, C!2), D!3, E!4)) | r4_nattra_1(u1_cat_1(A!0), u2_cat_1(B!1), u1_cat_1(A!0), u2_cat_1(B!1), k6_isocat_1(A!0, k11_cat_2(B!1, C!2), B!1, D!3, F, k8_nattra_1(A!0, k11_cat_2(B!1, C!2), D!3, E!4, F, H, I), G), k8_nattra_1(A!0, B!1, k2_isocat_1(A!0, k11_cat_2(B!1, C!2), B!1, D!3, G), k2_isocat_1(A!0, k11_cat_2(B!1, C!2), B!1, E!4, G), k2_isocat_1(A!0, k11_cat_2(B!1, C!2), B!1, F, G), k6_isocat_1(A!0, k11_cat_2(B!1, C!2), B!1, D!3, E!4, H, G), k6_isocat_1(A!0, k11_cat_2(B!1, C!2), B!1, E!4, F, I, G)))))))) | ((~m2_cat_1(F!5, A!0, k11_cat_2(B!1, C!2))) | ![G: $i] : ((~m2_cat_1(G, k11_cat_2(B!1, C!2), B!1)) | ![H: $i] : ((~m2_nattra_1(H, A!0, k11_cat_2(B!1, C!2), D!3, E!4)) | ![I: $i] : ((~m2_nattra_1(I, A!0, k11_cat_2(B!1, C!2), E!4, F!5)) | (~r2_nattra_1(A!0, k11_cat_2(B!1, C!2), D!3, E!4)) | (~r2_nattra_1(A!0, k11_cat_2(B!1, C!2), E!4, F!5)) | r4_nattra_1(u1_cat_1(A!0), u2_cat_1(B!1), u1_cat_1(A!0), u2_cat_1(B!1), k6_isocat_1(A!0, k11_cat_2(B!1, C!2), B!1, D!3, F!5, k8_nattra_1(A!0, k11_cat_2(B!1, C!2), D!3, E!4, F!5, H, I), G), k8_nattra_1(A!0, B!1, k2_isocat_1(A!0, k11_cat_2(B!1, C!2), B!1, D!3, G), k2_isocat_1(A!0, k11_cat_2(B!1, C!2), B!1, E!4, G), k2_isocat_1(A!0, k11_cat_2(B!1, C!2), B!1, F!5, G), k6_isocat_1(A!0, k11_cat_2(B!1, C!2), B!1, D!3, E!4, H, G), k6_isocat_1(A!0, k11_cat_2(B!1, C!2), B!1, E!4, F!5, I, G)))))))) <=> ((~![F: $i] : ((~m2_cat_1(F, A!0, k11_cat_2(B!1, C!2))) | ![G: $i] : ((~m2_cat_1(G, k11_cat_2(B!1, C!2), B!1)) | ![H: $i] : ((~m2_nattra_1(H, A!0, k11_cat_2(B!1, C!2), D!3, E!4)) | ![I: $i] : ((~m2_nattra_1(I, A!0, k11_cat_2(B!1, C!2), E!4, F)) | (~r2_nattra_1(A!0, k11_cat_2(B!1, C!2), E!4, F)) | (~r2_nattra_1(A!0, k11_cat_2(B!1, C!2), D!3, E!4)) | r4_nattra_1(u1_cat_1(A!0), u2_cat_1(B!1), u1_cat_1(A!0), u2_cat_1(B!1), k6_isocat_1(A!0, k11_cat_2(B!1, C!2), B!1, D!3, F, k8_nattra_1(A!0, k11_cat_2(B!1, C!2), D!3, E!4, F, H, I), G), k8_nattra_1(A!0, B!1, k2_isocat_1(A!0, k11_cat_2(B!1, C!2), B!1, D!3, G), k2_isocat_1(A!0, k11_cat_2(B!1, C!2), B!1, E!4, G), k2_isocat_1(A!0, k11_cat_2(B!1, C!2), B!1, F, G), k6_isocat_1(A!0, k11_cat_2(B!1, C!2), B!1, D!3, E!4, H, G), k6_isocat_1(A!0, k11_cat_2(B!1, C!2), B!1, E!4, F, I, G)))))))) | (~m2_cat_1(F!5, A!0, k11_cat_2(B!1, C!2))) | ![G: $i] : ((~m2_cat_1(G, k11_cat_2(B!1, C!2), B!1)) | ![H: $i] : ((~m2_nattra_1(H, A!0, k11_cat_2(B!1, C!2), D!3, E!4)) | ![I: $i] : ((~m2_nattra_1(I, A!0, k11_cat_2(B!1, C!2), E!4, F!5)) | (~r2_nattra_1(A!0, k11_cat_2(B!1, C!2), D!3, E!4)) | (~r2_nattra_1(A!0, k11_cat_2(B!1, C!2), E!4, F!5)) | r4_nattra_1(u1_cat_1(A!0), u2_cat_1(B!1), u1_cat_1(A!0), u2_cat_1(B!1), k6_isocat_1(A!0, k11_cat_2(B!1, C!2), B!1, D!3, F!5, k8_nattra_1(A!0, k11_cat_2(B!1, C!2), D!3, E!4, F!5, H, I), G), k8_nattra_1(A!0, B!1, k2_isocat_1(A!0, k11_cat_2(B!1, C!2), B!1, D!3, G), k2_isocat_1(A!0, k11_cat_2(B!1, C!2), B!1, E!4, G), k2_isocat_1(A!0, k11_cat_2(B!1, C!2), B!1, F!5, G), k6_isocat_1(A!0, k11_cat_2(B!1, C!2), B!1, D!3, E!4, H, G), k6_isocat_1(A!0, k11_cat_2(B!1, C!2), B!1, E!4, F!5, I, G)))))))),
% 18.80/18.98 inference(rewrite,[status(thm)],[])).
% 18.80/18.98 tff(270,plain,
% 18.80/18.98 (((~m2_cat_1(F!5, A!0, k11_cat_2(B!1, C!2))) | ![G: $i] : ((~m2_cat_1(G, k11_cat_2(B!1, C!2), B!1)) | ![H: $i] : ((~m2_nattra_1(H, A!0, k11_cat_2(B!1, C!2), D!3, E!4)) | ![I: $i] : ((~m2_nattra_1(I, A!0, k11_cat_2(B!1, C!2), E!4, F!5)) | (~r2_nattra_1(A!0, k11_cat_2(B!1, C!2), E!4, F!5)) | (~r2_nattra_1(A!0, k11_cat_2(B!1, C!2), D!3, E!4)) | r4_nattra_1(u1_cat_1(A!0), u2_cat_1(B!1), u1_cat_1(A!0), u2_cat_1(B!1), k6_isocat_1(A!0, k11_cat_2(B!1, C!2), B!1, D!3, F!5, k8_nattra_1(A!0, k11_cat_2(B!1, C!2), D!3, E!4, F!5, H, I), G), k8_nattra_1(A!0, B!1, k2_isocat_1(A!0, k11_cat_2(B!1, C!2), B!1, D!3, G), k2_isocat_1(A!0, k11_cat_2(B!1, C!2), B!1, E!4, G), k2_isocat_1(A!0, k11_cat_2(B!1, C!2), B!1, F!5, G), k6_isocat_1(A!0, k11_cat_2(B!1, C!2), B!1, D!3, E!4, H, G), k6_isocat_1(A!0, k11_cat_2(B!1, C!2), B!1, E!4, F!5, I, G))))))) <=> ((~m2_cat_1(F!5, A!0, k11_cat_2(B!1, C!2))) | ![G: $i] : ((~m2_cat_1(G, k11_cat_2(B!1, C!2), B!1)) | ![H: $i] : ((~m2_nattra_1(H, A!0, k11_cat_2(B!1, C!2), D!3, E!4)) | ![I: $i] : ((~m2_nattra_1(I, A!0, k11_cat_2(B!1, C!2), E!4, F!5)) | (~r2_nattra_1(A!0, k11_cat_2(B!1, C!2), D!3, E!4)) | (~r2_nattra_1(A!0, k11_cat_2(B!1, C!2), E!4, F!5)) | r4_nattra_1(u1_cat_1(A!0), u2_cat_1(B!1), u1_cat_1(A!0), u2_cat_1(B!1), k6_isocat_1(A!0, k11_cat_2(B!1, C!2), B!1, D!3, F!5, k8_nattra_1(A!0, k11_cat_2(B!1, C!2), D!3, E!4, F!5, H, I), G), k8_nattra_1(A!0, B!1, k2_isocat_1(A!0, k11_cat_2(B!1, C!2), B!1, D!3, G), k2_isocat_1(A!0, k11_cat_2(B!1, C!2), B!1, E!4, G), k2_isocat_1(A!0, k11_cat_2(B!1, C!2), B!1, F!5, G), k6_isocat_1(A!0, k11_cat_2(B!1, C!2), B!1, D!3, E!4, H, G), k6_isocat_1(A!0, k11_cat_2(B!1, C!2), B!1, E!4, F!5, I, G)))))))),
% 18.80/18.98 inference(rewrite,[status(thm)],[])).
% 18.80/18.98 tff(271,plain,
% 18.80/18.98 (((~![F: $i] : ((~m2_cat_1(F, A!0, k11_cat_2(B!1, C!2))) | ![G: $i] : ((~m2_cat_1(G, k11_cat_2(B!1, C!2), B!1)) | ![H: $i] : ((~m2_nattra_1(H, A!0, k11_cat_2(B!1, C!2), D!3, E!4)) | ![I: $i] : ((~m2_nattra_1(I, A!0, k11_cat_2(B!1, C!2), E!4, F)) | (~r2_nattra_1(A!0, k11_cat_2(B!1, C!2), E!4, F)) | (~r2_nattra_1(A!0, k11_cat_2(B!1, C!2), D!3, E!4)) | r4_nattra_1(u1_cat_1(A!0), u2_cat_1(B!1), u1_cat_1(A!0), u2_cat_1(B!1), k6_isocat_1(A!0, k11_cat_2(B!1, C!2), B!1, D!3, F, k8_nattra_1(A!0, k11_cat_2(B!1, C!2), D!3, E!4, F, H, I), G), k8_nattra_1(A!0, B!1, k2_isocat_1(A!0, k11_cat_2(B!1, C!2), B!1, D!3, G), k2_isocat_1(A!0, k11_cat_2(B!1, C!2), B!1, E!4, G), k2_isocat_1(A!0, k11_cat_2(B!1, C!2), B!1, F, G), k6_isocat_1(A!0, k11_cat_2(B!1, C!2), B!1, D!3, E!4, H, G), k6_isocat_1(A!0, k11_cat_2(B!1, C!2), B!1, E!4, F, I, G)))))))) | ((~m2_cat_1(F!5, A!0, k11_cat_2(B!1, C!2))) | ![G: $i] : ((~m2_cat_1(G, k11_cat_2(B!1, C!2), B!1)) | ![H: $i] : ((~m2_nattra_1(H, A!0, k11_cat_2(B!1, C!2), D!3, E!4)) | ![I: $i] : ((~m2_nattra_1(I, A!0, k11_cat_2(B!1, C!2), E!4, F!5)) | (~r2_nattra_1(A!0, k11_cat_2(B!1, C!2), E!4, F!5)) | (~r2_nattra_1(A!0, k11_cat_2(B!1, C!2), D!3, E!4)) | r4_nattra_1(u1_cat_1(A!0), u2_cat_1(B!1), u1_cat_1(A!0), u2_cat_1(B!1), k6_isocat_1(A!0, k11_cat_2(B!1, C!2), B!1, D!3, F!5, k8_nattra_1(A!0, k11_cat_2(B!1, C!2), D!3, E!4, F!5, H, I), G), k8_nattra_1(A!0, B!1, k2_isocat_1(A!0, k11_cat_2(B!1, C!2), B!1, D!3, G), k2_isocat_1(A!0, k11_cat_2(B!1, C!2), B!1, E!4, G), k2_isocat_1(A!0, k11_cat_2(B!1, C!2), B!1, F!5, G), k6_isocat_1(A!0, k11_cat_2(B!1, C!2), B!1, D!3, E!4, H, G), k6_isocat_1(A!0, k11_cat_2(B!1, C!2), B!1, E!4, F!5, I, G)))))))) <=> ((~![F: $i] : ((~m2_cat_1(F, A!0, k11_cat_2(B!1, C!2))) | ![G: $i] : ((~m2_cat_1(G, k11_cat_2(B!1, C!2), B!1)) | ![H: $i] : ((~m2_nattra_1(H, A!0, k11_cat_2(B!1, C!2), D!3, E!4)) | ![I: $i] : ((~m2_nattra_1(I, A!0, k11_cat_2(B!1, C!2), E!4, F)) | (~r2_nattra_1(A!0, k11_cat_2(B!1, C!2), E!4, F)) | (~r2_nattra_1(A!0, k11_cat_2(B!1, C!2), D!3, E!4)) | r4_nattra_1(u1_cat_1(A!0), u2_cat_1(B!1), u1_cat_1(A!0), u2_cat_1(B!1), k6_isocat_1(A!0, k11_cat_2(B!1, C!2), B!1, D!3, F, k8_nattra_1(A!0, k11_cat_2(B!1, C!2), D!3, E!4, F, H, I), G), k8_nattra_1(A!0, B!1, k2_isocat_1(A!0, k11_cat_2(B!1, C!2), B!1, D!3, G), k2_isocat_1(A!0, k11_cat_2(B!1, C!2), B!1, E!4, G), k2_isocat_1(A!0, k11_cat_2(B!1, C!2), B!1, F, G), k6_isocat_1(A!0, k11_cat_2(B!1, C!2), B!1, D!3, E!4, H, G), k6_isocat_1(A!0, k11_cat_2(B!1, C!2), B!1, E!4, F, I, G)))))))) | ((~m2_cat_1(F!5, A!0, k11_cat_2(B!1, C!2))) | ![G: $i] : ((~m2_cat_1(G, k11_cat_2(B!1, C!2), B!1)) | ![H: $i] : ((~m2_nattra_1(H, A!0, k11_cat_2(B!1, C!2), D!3, E!4)) | ![I: $i] : ((~m2_nattra_1(I, A!0, k11_cat_2(B!1, C!2), E!4, F!5)) | (~r2_nattra_1(A!0, k11_cat_2(B!1, C!2), D!3, E!4)) | (~r2_nattra_1(A!0, k11_cat_2(B!1, C!2), E!4, F!5)) | r4_nattra_1(u1_cat_1(A!0), u2_cat_1(B!1), u1_cat_1(A!0), u2_cat_1(B!1), k6_isocat_1(A!0, k11_cat_2(B!1, C!2), B!1, D!3, F!5, k8_nattra_1(A!0, k11_cat_2(B!1, C!2), D!3, E!4, F!5, H, I), G), k8_nattra_1(A!0, B!1, k2_isocat_1(A!0, k11_cat_2(B!1, C!2), B!1, D!3, G), k2_isocat_1(A!0, k11_cat_2(B!1, C!2), B!1, E!4, G), k2_isocat_1(A!0, k11_cat_2(B!1, C!2), B!1, F!5, G), k6_isocat_1(A!0, k11_cat_2(B!1, C!2), B!1, D!3, E!4, H, G), k6_isocat_1(A!0, k11_cat_2(B!1, C!2), B!1, E!4, F!5, I, G))))))))),
% 18.80/18.98 inference(monotonicity,[status(thm)],[270])).
% 18.80/18.98 tff(272,plain,
% 18.80/18.98 (((~![F: $i] : ((~m2_cat_1(F, A!0, k11_cat_2(B!1, C!2))) | ![G: $i] : ((~m2_cat_1(G, k11_cat_2(B!1, C!2), B!1)) | ![H: $i] : ((~m2_nattra_1(H, A!0, k11_cat_2(B!1, C!2), D!3, E!4)) | ![I: $i] : ((~m2_nattra_1(I, A!0, k11_cat_2(B!1, C!2), E!4, F)) | (~r2_nattra_1(A!0, k11_cat_2(B!1, C!2), E!4, F)) | (~r2_nattra_1(A!0, k11_cat_2(B!1, C!2), D!3, E!4)) | r4_nattra_1(u1_cat_1(A!0), u2_cat_1(B!1), u1_cat_1(A!0), u2_cat_1(B!1), k6_isocat_1(A!0, k11_cat_2(B!1, C!2), B!1, D!3, F, k8_nattra_1(A!0, k11_cat_2(B!1, C!2), D!3, E!4, F, H, I), G), k8_nattra_1(A!0, B!1, k2_isocat_1(A!0, k11_cat_2(B!1, C!2), B!1, D!3, G), k2_isocat_1(A!0, k11_cat_2(B!1, C!2), B!1, E!4, G), k2_isocat_1(A!0, k11_cat_2(B!1, C!2), B!1, F, G), k6_isocat_1(A!0, k11_cat_2(B!1, C!2), B!1, D!3, E!4, H, G), k6_isocat_1(A!0, k11_cat_2(B!1, C!2), B!1, E!4, F, I, G)))))))) | ((~m2_cat_1(F!5, A!0, k11_cat_2(B!1, C!2))) | ![G: $i] : ((~m2_cat_1(G, k11_cat_2(B!1, C!2), B!1)) | ![H: $i] : ((~m2_nattra_1(H, A!0, k11_cat_2(B!1, C!2), D!3, E!4)) | ![I: $i] : ((~m2_nattra_1(I, A!0, k11_cat_2(B!1, C!2), E!4, F!5)) | (~r2_nattra_1(A!0, k11_cat_2(B!1, C!2), E!4, F!5)) | (~r2_nattra_1(A!0, k11_cat_2(B!1, C!2), D!3, E!4)) | r4_nattra_1(u1_cat_1(A!0), u2_cat_1(B!1), u1_cat_1(A!0), u2_cat_1(B!1), k6_isocat_1(A!0, k11_cat_2(B!1, C!2), B!1, D!3, F!5, k8_nattra_1(A!0, k11_cat_2(B!1, C!2), D!3, E!4, F!5, H, I), G), k8_nattra_1(A!0, B!1, k2_isocat_1(A!0, k11_cat_2(B!1, C!2), B!1, D!3, G), k2_isocat_1(A!0, k11_cat_2(B!1, C!2), B!1, E!4, G), k2_isocat_1(A!0, k11_cat_2(B!1, C!2), B!1, F!5, G), k6_isocat_1(A!0, k11_cat_2(B!1, C!2), B!1, D!3, E!4, H, G), k6_isocat_1(A!0, k11_cat_2(B!1, C!2), B!1, E!4, F!5, I, G)))))))) <=> ((~![F: $i] : ((~m2_cat_1(F, A!0, k11_cat_2(B!1, C!2))) | ![G: $i] : ((~m2_cat_1(G, k11_cat_2(B!1, C!2), B!1)) | ![H: $i] : ((~m2_nattra_1(H, A!0, k11_cat_2(B!1, C!2), D!3, E!4)) | ![I: $i] : ((~m2_nattra_1(I, A!0, k11_cat_2(B!1, C!2), E!4, F)) | (~r2_nattra_1(A!0, k11_cat_2(B!1, C!2), E!4, F)) | (~r2_nattra_1(A!0, k11_cat_2(B!1, C!2), D!3, E!4)) | r4_nattra_1(u1_cat_1(A!0), u2_cat_1(B!1), u1_cat_1(A!0), u2_cat_1(B!1), k6_isocat_1(A!0, k11_cat_2(B!1, C!2), B!1, D!3, F, k8_nattra_1(A!0, k11_cat_2(B!1, C!2), D!3, E!4, F, H, I), G), k8_nattra_1(A!0, B!1, k2_isocat_1(A!0, k11_cat_2(B!1, C!2), B!1, D!3, G), k2_isocat_1(A!0, k11_cat_2(B!1, C!2), B!1, E!4, G), k2_isocat_1(A!0, k11_cat_2(B!1, C!2), B!1, F, G), k6_isocat_1(A!0, k11_cat_2(B!1, C!2), B!1, D!3, E!4, H, G), k6_isocat_1(A!0, k11_cat_2(B!1, C!2), B!1, E!4, F, I, G)))))))) | (~m2_cat_1(F!5, A!0, k11_cat_2(B!1, C!2))) | ![G: $i] : ((~m2_cat_1(G, k11_cat_2(B!1, C!2), B!1)) | ![H: $i] : ((~m2_nattra_1(H, A!0, k11_cat_2(B!1, C!2), D!3, E!4)) | ![I: $i] : ((~m2_nattra_1(I, A!0, k11_cat_2(B!1, C!2), E!4, F!5)) | (~r2_nattra_1(A!0, k11_cat_2(B!1, C!2), D!3, E!4)) | (~r2_nattra_1(A!0, k11_cat_2(B!1, C!2), E!4, F!5)) | r4_nattra_1(u1_cat_1(A!0), u2_cat_1(B!1), u1_cat_1(A!0), u2_cat_1(B!1), k6_isocat_1(A!0, k11_cat_2(B!1, C!2), B!1, D!3, F!5, k8_nattra_1(A!0, k11_cat_2(B!1, C!2), D!3, E!4, F!5, H, I), G), k8_nattra_1(A!0, B!1, k2_isocat_1(A!0, k11_cat_2(B!1, C!2), B!1, D!3, G), k2_isocat_1(A!0, k11_cat_2(B!1, C!2), B!1, E!4, G), k2_isocat_1(A!0, k11_cat_2(B!1, C!2), B!1, F!5, G), k6_isocat_1(A!0, k11_cat_2(B!1, C!2), B!1, D!3, E!4, H, G), k6_isocat_1(A!0, k11_cat_2(B!1, C!2), B!1, E!4, F!5, I, G)))))))),
% 18.80/18.98 inference(transitivity,[status(thm)],[271, 269])).
% 18.80/18.98 tff(273,plain,
% 18.80/18.98 ((~![F: $i] : ((~m2_cat_1(F, A!0, k11_cat_2(B!1, C!2))) | ![G: $i] : ((~m2_cat_1(G, k11_cat_2(B!1, C!2), B!1)) | ![H: $i] : ((~m2_nattra_1(H, A!0, k11_cat_2(B!1, C!2), D!3, E!4)) | ![I: $i] : ((~m2_nattra_1(I, A!0, k11_cat_2(B!1, C!2), E!4, F)) | (~r2_nattra_1(A!0, k11_cat_2(B!1, C!2), E!4, F)) | (~r2_nattra_1(A!0, k11_cat_2(B!1, C!2), D!3, E!4)) | r4_nattra_1(u1_cat_1(A!0), u2_cat_1(B!1), u1_cat_1(A!0), u2_cat_1(B!1), k6_isocat_1(A!0, k11_cat_2(B!1, C!2), B!1, D!3, F, k8_nattra_1(A!0, k11_cat_2(B!1, C!2), D!3, E!4, F, H, I), G), k8_nattra_1(A!0, B!1, k2_isocat_1(A!0, k11_cat_2(B!1, C!2), B!1, D!3, G), k2_isocat_1(A!0, k11_cat_2(B!1, C!2), B!1, E!4, G), k2_isocat_1(A!0, k11_cat_2(B!1, C!2), B!1, F, G), k6_isocat_1(A!0, k11_cat_2(B!1, C!2), B!1, D!3, E!4, H, G), k6_isocat_1(A!0, k11_cat_2(B!1, C!2), B!1, E!4, F, I, G)))))))) | ((~m2_cat_1(F!5, A!0, k11_cat_2(B!1, C!2))) | ![G: $i] : ((~m2_cat_1(G, k11_cat_2(B!1, C!2), B!1)) | ![H: $i] : ((~m2_nattra_1(H, A!0, k11_cat_2(B!1, C!2), D!3, E!4)) | ![I: $i] : ((~m2_nattra_1(I, A!0, k11_cat_2(B!1, C!2), E!4, F!5)) | (~r2_nattra_1(A!0, k11_cat_2(B!1, C!2), E!4, F!5)) | (~r2_nattra_1(A!0, k11_cat_2(B!1, C!2), D!3, E!4)) | r4_nattra_1(u1_cat_1(A!0), u2_cat_1(B!1), u1_cat_1(A!0), u2_cat_1(B!1), k6_isocat_1(A!0, k11_cat_2(B!1, C!2), B!1, D!3, F!5, k8_nattra_1(A!0, k11_cat_2(B!1, C!2), D!3, E!4, F!5, H, I), G), k8_nattra_1(A!0, B!1, k2_isocat_1(A!0, k11_cat_2(B!1, C!2), B!1, D!3, G), k2_isocat_1(A!0, k11_cat_2(B!1, C!2), B!1, E!4, G), k2_isocat_1(A!0, k11_cat_2(B!1, C!2), B!1, F!5, G), k6_isocat_1(A!0, k11_cat_2(B!1, C!2), B!1, D!3, E!4, H, G), k6_isocat_1(A!0, k11_cat_2(B!1, C!2), B!1, E!4, F!5, I, G)))))))),
% 18.80/18.99 inference(quant_inst,[status(thm)],[])).
% 18.80/18.99 tff(274,plain,
% 18.80/18.99 ((~![F: $i] : ((~m2_cat_1(F, A!0, k11_cat_2(B!1, C!2))) | ![G: $i] : ((~m2_cat_1(G, k11_cat_2(B!1, C!2), B!1)) | ![H: $i] : ((~m2_nattra_1(H, A!0, k11_cat_2(B!1, C!2), D!3, E!4)) | ![I: $i] : ((~m2_nattra_1(I, A!0, k11_cat_2(B!1, C!2), E!4, F)) | (~r2_nattra_1(A!0, k11_cat_2(B!1, C!2), E!4, F)) | (~r2_nattra_1(A!0, k11_cat_2(B!1, C!2), D!3, E!4)) | r4_nattra_1(u1_cat_1(A!0), u2_cat_1(B!1), u1_cat_1(A!0), u2_cat_1(B!1), k6_isocat_1(A!0, k11_cat_2(B!1, C!2), B!1, D!3, F, k8_nattra_1(A!0, k11_cat_2(B!1, C!2), D!3, E!4, F, H, I), G), k8_nattra_1(A!0, B!1, k2_isocat_1(A!0, k11_cat_2(B!1, C!2), B!1, D!3, G), k2_isocat_1(A!0, k11_cat_2(B!1, C!2), B!1, E!4, G), k2_isocat_1(A!0, k11_cat_2(B!1, C!2), B!1, F, G), k6_isocat_1(A!0, k11_cat_2(B!1, C!2), B!1, D!3, E!4, H, G), k6_isocat_1(A!0, k11_cat_2(B!1, C!2), B!1, E!4, F, I, G)))))))) | (~m2_cat_1(F!5, A!0, k11_cat_2(B!1, C!2))) | ![G: $i] : ((~m2_cat_1(G, k11_cat_2(B!1, C!2), B!1)) | ![H: $i] : ((~m2_nattra_1(H, A!0, k11_cat_2(B!1, C!2), D!3, E!4)) | ![I: $i] : ((~m2_nattra_1(I, A!0, k11_cat_2(B!1, C!2), E!4, F!5)) | (~r2_nattra_1(A!0, k11_cat_2(B!1, C!2), D!3, E!4)) | (~r2_nattra_1(A!0, k11_cat_2(B!1, C!2), E!4, F!5)) | r4_nattra_1(u1_cat_1(A!0), u2_cat_1(B!1), u1_cat_1(A!0), u2_cat_1(B!1), k6_isocat_1(A!0, k11_cat_2(B!1, C!2), B!1, D!3, F!5, k8_nattra_1(A!0, k11_cat_2(B!1, C!2), D!3, E!4, F!5, H, I), G), k8_nattra_1(A!0, B!1, k2_isocat_1(A!0, k11_cat_2(B!1, C!2), B!1, D!3, G), k2_isocat_1(A!0, k11_cat_2(B!1, C!2), B!1, E!4, G), k2_isocat_1(A!0, k11_cat_2(B!1, C!2), B!1, F!5, G), k6_isocat_1(A!0, k11_cat_2(B!1, C!2), B!1, D!3, E!4, H, G), k6_isocat_1(A!0, k11_cat_2(B!1, C!2), B!1, E!4, F!5, I, G))))))),
% 18.80/18.99 inference(modus_ponens,[status(thm)],[273, 272])).
% 18.80/18.99 tff(275,plain,
% 18.80/18.99 (![G: $i] : ((~m2_cat_1(G, k11_cat_2(B!1, C!2), B!1)) | ![H: $i] : ((~m2_nattra_1(H, A!0, k11_cat_2(B!1, C!2), D!3, E!4)) | ![I: $i] : ((~m2_nattra_1(I, A!0, k11_cat_2(B!1, C!2), E!4, F!5)) | (~r2_nattra_1(A!0, k11_cat_2(B!1, C!2), D!3, E!4)) | (~r2_nattra_1(A!0, k11_cat_2(B!1, C!2), E!4, F!5)) | r4_nattra_1(u1_cat_1(A!0), u2_cat_1(B!1), u1_cat_1(A!0), u2_cat_1(B!1), k6_isocat_1(A!0, k11_cat_2(B!1, C!2), B!1, D!3, F!5, k8_nattra_1(A!0, k11_cat_2(B!1, C!2), D!3, E!4, F!5, H, I), G), k8_nattra_1(A!0, B!1, k2_isocat_1(A!0, k11_cat_2(B!1, C!2), B!1, D!3, G), k2_isocat_1(A!0, k11_cat_2(B!1, C!2), B!1, E!4, G), k2_isocat_1(A!0, k11_cat_2(B!1, C!2), B!1, F!5, G), k6_isocat_1(A!0, k11_cat_2(B!1, C!2), B!1, D!3, E!4, H, G), k6_isocat_1(A!0, k11_cat_2(B!1, C!2), B!1, E!4, F!5, I, G))))))),
% 18.80/18.99 inference(unit_resolution,[status(thm)],[274, 67, 268])).
% 18.80/18.99 tff(276,plain,
% 18.80/18.99 (^[A: $i, B: $i] : refl((m2_cat_1(k16_cat_2(A, B), k11_cat_2(A, B), A) | (~l1_cat_1(B)) | (~v2_cat_1(A)) | (~l1_cat_1(A)) | (~v2_cat_1(B))) <=> (m2_cat_1(k16_cat_2(A, B), k11_cat_2(A, B), A) | (~l1_cat_1(B)) | (~v2_cat_1(A)) | (~l1_cat_1(A)) | (~v2_cat_1(B))))),
% 18.80/18.99 inference(bind,[status(th)],[])).
% 18.80/18.99 tff(277,plain,
% 18.80/18.99 (![A: $i, B: $i] : (m2_cat_1(k16_cat_2(A, B), k11_cat_2(A, B), A) | (~l1_cat_1(B)) | (~v2_cat_1(A)) | (~l1_cat_1(A)) | (~v2_cat_1(B))) <=> ![A: $i, B: $i] : (m2_cat_1(k16_cat_2(A, B), k11_cat_2(A, B), A) | (~l1_cat_1(B)) | (~v2_cat_1(A)) | (~l1_cat_1(A)) | (~v2_cat_1(B)))),
% 18.80/18.99 inference(quant_intro,[status(thm)],[276])).
% 18.80/18.99 tff(278,plain,
% 18.80/18.99 (^[A: $i, B: $i] : trans(monotonicity(trans(monotonicity(rewrite((v2_cat_1(A) & l1_cat_1(A) & v2_cat_1(B) & l1_cat_1(B)) <=> (~((~l1_cat_1(B)) | (~v2_cat_1(A)) | (~l1_cat_1(A)) | (~v2_cat_1(B))))), ((~(v2_cat_1(A) & l1_cat_1(A) & v2_cat_1(B) & l1_cat_1(B))) <=> (~(~((~l1_cat_1(B)) | (~v2_cat_1(A)) | (~l1_cat_1(A)) | (~v2_cat_1(B))))))), rewrite((~(~((~l1_cat_1(B)) | (~v2_cat_1(A)) | (~l1_cat_1(A)) | (~v2_cat_1(B))))) <=> ((~l1_cat_1(B)) | (~v2_cat_1(A)) | (~l1_cat_1(A)) | (~v2_cat_1(B)))), ((~(v2_cat_1(A) & l1_cat_1(A) & v2_cat_1(B) & l1_cat_1(B))) <=> ((~l1_cat_1(B)) | (~v2_cat_1(A)) | (~l1_cat_1(A)) | (~v2_cat_1(B))))), (((~(v2_cat_1(A) & l1_cat_1(A) & v2_cat_1(B) & l1_cat_1(B))) | m2_cat_1(k16_cat_2(A, B), k11_cat_2(A, B), A)) <=> (((~l1_cat_1(B)) | (~v2_cat_1(A)) | (~l1_cat_1(A)) | (~v2_cat_1(B))) | m2_cat_1(k16_cat_2(A, B), k11_cat_2(A, B), A)))), rewrite((((~l1_cat_1(B)) | (~v2_cat_1(A)) | (~l1_cat_1(A)) | (~v2_cat_1(B))) | m2_cat_1(k16_cat_2(A, B), k11_cat_2(A, B), A)) <=> (m2_cat_1(k16_cat_2(A, B), k11_cat_2(A, B), A) | (~l1_cat_1(B)) | (~v2_cat_1(A)) | (~l1_cat_1(A)) | (~v2_cat_1(B)))), (((~(v2_cat_1(A) & l1_cat_1(A) & v2_cat_1(B) & l1_cat_1(B))) | m2_cat_1(k16_cat_2(A, B), k11_cat_2(A, B), A)) <=> (m2_cat_1(k16_cat_2(A, B), k11_cat_2(A, B), A) | (~l1_cat_1(B)) | (~v2_cat_1(A)) | (~l1_cat_1(A)) | (~v2_cat_1(B)))))),
% 18.80/18.99 inference(bind,[status(th)],[])).
% 18.80/18.99 tff(279,plain,
% 18.80/18.99 (![A: $i, B: $i] : ((~(v2_cat_1(A) & l1_cat_1(A) & v2_cat_1(B) & l1_cat_1(B))) | m2_cat_1(k16_cat_2(A, B), k11_cat_2(A, B), A)) <=> ![A: $i, B: $i] : (m2_cat_1(k16_cat_2(A, B), k11_cat_2(A, B), A) | (~l1_cat_1(B)) | (~v2_cat_1(A)) | (~l1_cat_1(A)) | (~v2_cat_1(B)))),
% 18.80/18.99 inference(quant_intro,[status(thm)],[278])).
% 18.80/18.99 tff(280,plain,
% 18.80/18.99 (![A: $i, B: $i] : ((~(v2_cat_1(A) & l1_cat_1(A) & v2_cat_1(B) & l1_cat_1(B))) | m2_cat_1(k16_cat_2(A, B), k11_cat_2(A, B), A)) <=> ![A: $i, B: $i] : ((~(v2_cat_1(A) & l1_cat_1(A) & v2_cat_1(B) & l1_cat_1(B))) | m2_cat_1(k16_cat_2(A, B), k11_cat_2(A, B), A))),
% 18.80/18.99 inference(rewrite,[status(thm)],[])).
% 18.80/18.99 tff(281,plain,
% 18.80/18.99 (^[A: $i, B: $i] : trans(monotonicity(trans(monotonicity(rewrite(((v2_cat_1(A) & l1_cat_1(A)) & v2_cat_1(B)) <=> (v2_cat_1(A) & l1_cat_1(A) & v2_cat_1(B))), ((((v2_cat_1(A) & l1_cat_1(A)) & v2_cat_1(B)) & l1_cat_1(B)) <=> ((v2_cat_1(A) & l1_cat_1(A) & v2_cat_1(B)) & l1_cat_1(B)))), rewrite(((v2_cat_1(A) & l1_cat_1(A) & v2_cat_1(B)) & l1_cat_1(B)) <=> (v2_cat_1(A) & l1_cat_1(A) & v2_cat_1(B) & l1_cat_1(B))), ((((v2_cat_1(A) & l1_cat_1(A)) & v2_cat_1(B)) & l1_cat_1(B)) <=> (v2_cat_1(A) & l1_cat_1(A) & v2_cat_1(B) & l1_cat_1(B)))), (((((v2_cat_1(A) & l1_cat_1(A)) & v2_cat_1(B)) & l1_cat_1(B)) => m2_cat_1(k16_cat_2(A, B), k11_cat_2(A, B), A)) <=> ((v2_cat_1(A) & l1_cat_1(A) & v2_cat_1(B) & l1_cat_1(B)) => m2_cat_1(k16_cat_2(A, B), k11_cat_2(A, B), A)))), rewrite(((v2_cat_1(A) & l1_cat_1(A) & v2_cat_1(B) & l1_cat_1(B)) => m2_cat_1(k16_cat_2(A, B), k11_cat_2(A, B), A)) <=> ((~(v2_cat_1(A) & l1_cat_1(A) & v2_cat_1(B) & l1_cat_1(B))) | m2_cat_1(k16_cat_2(A, B), k11_cat_2(A, B), A))), (((((v2_cat_1(A) & l1_cat_1(A)) & v2_cat_1(B)) & l1_cat_1(B)) => m2_cat_1(k16_cat_2(A, B), k11_cat_2(A, B), A)) <=> ((~(v2_cat_1(A) & l1_cat_1(A) & v2_cat_1(B) & l1_cat_1(B))) | m2_cat_1(k16_cat_2(A, B), k11_cat_2(A, B), A))))),
% 18.80/18.99 inference(bind,[status(th)],[])).
% 18.80/18.99 tff(282,plain,
% 18.80/18.99 (![A: $i, B: $i] : ((((v2_cat_1(A) & l1_cat_1(A)) & v2_cat_1(B)) & l1_cat_1(B)) => m2_cat_1(k16_cat_2(A, B), k11_cat_2(A, B), A)) <=> ![A: $i, B: $i] : ((~(v2_cat_1(A) & l1_cat_1(A) & v2_cat_1(B) & l1_cat_1(B))) | m2_cat_1(k16_cat_2(A, B), k11_cat_2(A, B), A))),
% 18.80/18.99 inference(quant_intro,[status(thm)],[281])).
% 18.80/18.99 tff(283,axiom,(![A: $i, B: $i] : ((((v2_cat_1(A) & l1_cat_1(A)) & v2_cat_1(B)) & l1_cat_1(B)) => m2_cat_1(k16_cat_2(A, B), k11_cat_2(A, B), A))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','dt_k16_cat_2')).
% 18.80/18.99 tff(284,plain,
% 18.80/18.99 (![A: $i, B: $i] : ((~(v2_cat_1(A) & l1_cat_1(A) & v2_cat_1(B) & l1_cat_1(B))) | m2_cat_1(k16_cat_2(A, B), k11_cat_2(A, B), A))),
% 18.80/18.99 inference(modus_ponens,[status(thm)],[283, 282])).
% 18.80/18.99 tff(285,plain,
% 18.80/18.99 (![A: $i, B: $i] : ((~(v2_cat_1(A) & l1_cat_1(A) & v2_cat_1(B) & l1_cat_1(B))) | m2_cat_1(k16_cat_2(A, B), k11_cat_2(A, B), A))),
% 18.80/18.99 inference(modus_ponens,[status(thm)],[284, 280])).
% 18.80/18.99 tff(286,plain,(
% 18.80/18.99 ![A: $i, B: $i] : ((~(v2_cat_1(A) & l1_cat_1(A) & v2_cat_1(B) & l1_cat_1(B))) | m2_cat_1(k16_cat_2(A, B), k11_cat_2(A, B), A))),
% 18.80/18.99 inference(skolemize,[status(sab)],[285])).
% 18.80/18.99 tff(287,plain,
% 18.80/18.99 (![A: $i, B: $i] : (m2_cat_1(k16_cat_2(A, B), k11_cat_2(A, B), A) | (~l1_cat_1(B)) | (~v2_cat_1(A)) | (~l1_cat_1(A)) | (~v2_cat_1(B)))),
% 18.80/18.99 inference(modus_ponens,[status(thm)],[286, 279])).
% 18.80/18.99 tff(288,plain,
% 18.80/18.99 (![A: $i, B: $i] : (m2_cat_1(k16_cat_2(A, B), k11_cat_2(A, B), A) | (~l1_cat_1(B)) | (~v2_cat_1(A)) | (~l1_cat_1(A)) | (~v2_cat_1(B)))),
% 18.80/18.99 inference(modus_ponens,[status(thm)],[287, 277])).
% 18.80/18.99 tff(289,plain,
% 18.80/18.99 (((~![A: $i, B: $i] : (m2_cat_1(k16_cat_2(A, B), k11_cat_2(A, B), A) | (~l1_cat_1(B)) | (~v2_cat_1(A)) | (~l1_cat_1(A)) | (~v2_cat_1(B)))) | ((~l1_cat_1(C!2)) | (~v2_cat_1(B!1)) | (~l1_cat_1(B!1)) | (~v2_cat_1(C!2)) | m2_cat_1(k16_cat_2(B!1, C!2), k11_cat_2(B!1, C!2), B!1))) <=> ((~![A: $i, B: $i] : (m2_cat_1(k16_cat_2(A, B), k11_cat_2(A, B), A) | (~l1_cat_1(B)) | (~v2_cat_1(A)) | (~l1_cat_1(A)) | (~v2_cat_1(B)))) | (~l1_cat_1(C!2)) | (~v2_cat_1(B!1)) | (~l1_cat_1(B!1)) | (~v2_cat_1(C!2)) | m2_cat_1(k16_cat_2(B!1, C!2), k11_cat_2(B!1, C!2), B!1))),
% 18.80/18.99 inference(rewrite,[status(thm)],[])).
% 18.80/18.99 tff(290,plain,
% 18.80/18.99 ((m2_cat_1(k16_cat_2(B!1, C!2), k11_cat_2(B!1, C!2), B!1) | (~l1_cat_1(C!2)) | (~v2_cat_1(B!1)) | (~l1_cat_1(B!1)) | (~v2_cat_1(C!2))) <=> ((~l1_cat_1(C!2)) | (~v2_cat_1(B!1)) | (~l1_cat_1(B!1)) | (~v2_cat_1(C!2)) | m2_cat_1(k16_cat_2(B!1, C!2), k11_cat_2(B!1, C!2), B!1))),
% 18.80/18.99 inference(rewrite,[status(thm)],[])).
% 18.80/18.99 tff(291,plain,
% 18.80/18.99 (((~![A: $i, B: $i] : (m2_cat_1(k16_cat_2(A, B), k11_cat_2(A, B), A) | (~l1_cat_1(B)) | (~v2_cat_1(A)) | (~l1_cat_1(A)) | (~v2_cat_1(B)))) | (m2_cat_1(k16_cat_2(B!1, C!2), k11_cat_2(B!1, C!2), B!1) | (~l1_cat_1(C!2)) | (~v2_cat_1(B!1)) | (~l1_cat_1(B!1)) | (~v2_cat_1(C!2)))) <=> ((~![A: $i, B: $i] : (m2_cat_1(k16_cat_2(A, B), k11_cat_2(A, B), A) | (~l1_cat_1(B)) | (~v2_cat_1(A)) | (~l1_cat_1(A)) | (~v2_cat_1(B)))) | ((~l1_cat_1(C!2)) | (~v2_cat_1(B!1)) | (~l1_cat_1(B!1)) | (~v2_cat_1(C!2)) | m2_cat_1(k16_cat_2(B!1, C!2), k11_cat_2(B!1, C!2), B!1)))),
% 18.80/18.99 inference(monotonicity,[status(thm)],[290])).
% 18.80/18.99 tff(292,plain,
% 18.80/18.99 (((~![A: $i, B: $i] : (m2_cat_1(k16_cat_2(A, B), k11_cat_2(A, B), A) | (~l1_cat_1(B)) | (~v2_cat_1(A)) | (~l1_cat_1(A)) | (~v2_cat_1(B)))) | (m2_cat_1(k16_cat_2(B!1, C!2), k11_cat_2(B!1, C!2), B!1) | (~l1_cat_1(C!2)) | (~v2_cat_1(B!1)) | (~l1_cat_1(B!1)) | (~v2_cat_1(C!2)))) <=> ((~![A: $i, B: $i] : (m2_cat_1(k16_cat_2(A, B), k11_cat_2(A, B), A) | (~l1_cat_1(B)) | (~v2_cat_1(A)) | (~l1_cat_1(A)) | (~v2_cat_1(B)))) | (~l1_cat_1(C!2)) | (~v2_cat_1(B!1)) | (~l1_cat_1(B!1)) | (~v2_cat_1(C!2)) | m2_cat_1(k16_cat_2(B!1, C!2), k11_cat_2(B!1, C!2), B!1))),
% 18.80/18.99 inference(transitivity,[status(thm)],[291, 289])).
% 18.80/18.99 tff(293,plain,
% 18.80/18.99 ((~![A: $i, B: $i] : (m2_cat_1(k16_cat_2(A, B), k11_cat_2(A, B), A) | (~l1_cat_1(B)) | (~v2_cat_1(A)) | (~l1_cat_1(A)) | (~v2_cat_1(B)))) | (m2_cat_1(k16_cat_2(B!1, C!2), k11_cat_2(B!1, C!2), B!1) | (~l1_cat_1(C!2)) | (~v2_cat_1(B!1)) | (~l1_cat_1(B!1)) | (~v2_cat_1(C!2)))),
% 18.80/18.99 inference(quant_inst,[status(thm)],[])).
% 18.80/18.99 tff(294,plain,
% 18.80/18.99 ((~![A: $i, B: $i] : (m2_cat_1(k16_cat_2(A, B), k11_cat_2(A, B), A) | (~l1_cat_1(B)) | (~v2_cat_1(A)) | (~l1_cat_1(A)) | (~v2_cat_1(B)))) | (~l1_cat_1(C!2)) | (~v2_cat_1(B!1)) | (~l1_cat_1(B!1)) | (~v2_cat_1(C!2)) | m2_cat_1(k16_cat_2(B!1, C!2), k11_cat_2(B!1, C!2), B!1)),
% 18.80/18.99 inference(modus_ponens,[status(thm)],[293, 292])).
% 18.80/18.99 tff(295,plain,
% 18.80/18.99 (m2_cat_1(k16_cat_2(B!1, C!2), k11_cat_2(B!1, C!2), B!1)),
% 18.80/18.99 inference(unit_resolution,[status(thm)],[294, 51, 50, 57, 56, 288])).
% 18.80/18.99 tff(296,plain,
% 18.80/18.99 (((~![G: $i] : ((~m2_cat_1(G, k11_cat_2(B!1, C!2), B!1)) | ![H: $i] : ((~m2_nattra_1(H, A!0, k11_cat_2(B!1, C!2), D!3, E!4)) | ![I: $i] : ((~m2_nattra_1(I, A!0, k11_cat_2(B!1, C!2), E!4, F!5)) | (~r2_nattra_1(A!0, k11_cat_2(B!1, C!2), D!3, E!4)) | (~r2_nattra_1(A!0, k11_cat_2(B!1, C!2), E!4, F!5)) | r4_nattra_1(u1_cat_1(A!0), u2_cat_1(B!1), u1_cat_1(A!0), u2_cat_1(B!1), k6_isocat_1(A!0, k11_cat_2(B!1, C!2), B!1, D!3, F!5, k8_nattra_1(A!0, k11_cat_2(B!1, C!2), D!3, E!4, F!5, H, I), G), k8_nattra_1(A!0, B!1, k2_isocat_1(A!0, k11_cat_2(B!1, C!2), B!1, D!3, G), k2_isocat_1(A!0, k11_cat_2(B!1, C!2), B!1, E!4, G), k2_isocat_1(A!0, k11_cat_2(B!1, C!2), B!1, F!5, G), k6_isocat_1(A!0, k11_cat_2(B!1, C!2), B!1, D!3, E!4, H, G), k6_isocat_1(A!0, k11_cat_2(B!1, C!2), B!1, E!4, F!5, I, G))))))) | ((~m2_cat_1(k16_cat_2(B!1, C!2), k11_cat_2(B!1, C!2), B!1)) | ![H: $i] : ((~m2_nattra_1(H, A!0, k11_cat_2(B!1, C!2), D!3, E!4)) | ![I: $i] : ((~m2_nattra_1(I, A!0, k11_cat_2(B!1, C!2), E!4, F!5)) | (~r2_nattra_1(A!0, k11_cat_2(B!1, C!2), D!3, E!4)) | (~r2_nattra_1(A!0, k11_cat_2(B!1, C!2), E!4, F!5)) | r4_nattra_1(u1_cat_1(A!0), u2_cat_1(B!1), u1_cat_1(A!0), u2_cat_1(B!1), k6_isocat_1(A!0, k11_cat_2(B!1, C!2), B!1, D!3, F!5, k8_nattra_1(A!0, k11_cat_2(B!1, C!2), D!3, E!4, F!5, H, I), k16_cat_2(B!1, C!2)), k8_nattra_1(A!0, B!1, k2_isocat_1(A!0, k11_cat_2(B!1, C!2), B!1, D!3, k16_cat_2(B!1, C!2)), k2_isocat_1(A!0, k11_cat_2(B!1, C!2), B!1, E!4, k16_cat_2(B!1, C!2)), k2_isocat_1(A!0, k11_cat_2(B!1, C!2), B!1, F!5, k16_cat_2(B!1, C!2)), k6_isocat_1(A!0, k11_cat_2(B!1, C!2), B!1, D!3, E!4, H, k16_cat_2(B!1, C!2)), k6_isocat_1(A!0, k11_cat_2(B!1, C!2), B!1, E!4, F!5, I, k16_cat_2(B!1, C!2)))))))) <=> ((~![G: $i] : ((~m2_cat_1(G, k11_cat_2(B!1, C!2), B!1)) | ![H: $i] : ((~m2_nattra_1(H, A!0, k11_cat_2(B!1, C!2), D!3, E!4)) | ![I: $i] : ((~m2_nattra_1(I, A!0, k11_cat_2(B!1, C!2), E!4, F!5)) | (~r2_nattra_1(A!0, k11_cat_2(B!1, C!2), D!3, E!4)) | (~r2_nattra_1(A!0, k11_cat_2(B!1, C!2), E!4, F!5)) | r4_nattra_1(u1_cat_1(A!0), u2_cat_1(B!1), u1_cat_1(A!0), u2_cat_1(B!1), k6_isocat_1(A!0, k11_cat_2(B!1, C!2), B!1, D!3, F!5, k8_nattra_1(A!0, k11_cat_2(B!1, C!2), D!3, E!4, F!5, H, I), G), k8_nattra_1(A!0, B!1, k2_isocat_1(A!0, k11_cat_2(B!1, C!2), B!1, D!3, G), k2_isocat_1(A!0, k11_cat_2(B!1, C!2), B!1, E!4, G), k2_isocat_1(A!0, k11_cat_2(B!1, C!2), B!1, F!5, G), k6_isocat_1(A!0, k11_cat_2(B!1, C!2), B!1, D!3, E!4, H, G), k6_isocat_1(A!0, k11_cat_2(B!1, C!2), B!1, E!4, F!5, I, G))))))) | (~m2_cat_1(k16_cat_2(B!1, C!2), k11_cat_2(B!1, C!2), B!1)) | ![H: $i] : ((~m2_nattra_1(H, A!0, k11_cat_2(B!1, C!2), D!3, E!4)) | ![I: $i] : ((~m2_nattra_1(I, A!0, k11_cat_2(B!1, C!2), E!4, F!5)) | (~r2_nattra_1(A!0, k11_cat_2(B!1, C!2), D!3, E!4)) | (~r2_nattra_1(A!0, k11_cat_2(B!1, C!2), E!4, F!5)) | r4_nattra_1(u1_cat_1(A!0), u2_cat_1(B!1), u1_cat_1(A!0), u2_cat_1(B!1), k6_isocat_1(A!0, k11_cat_2(B!1, C!2), B!1, D!3, F!5, k8_nattra_1(A!0, k11_cat_2(B!1, C!2), D!3, E!4, F!5, H, I), k16_cat_2(B!1, C!2)), k8_nattra_1(A!0, B!1, k2_isocat_1(A!0, k11_cat_2(B!1, C!2), B!1, D!3, k16_cat_2(B!1, C!2)), k2_isocat_1(A!0, k11_cat_2(B!1, C!2), B!1, E!4, k16_cat_2(B!1, C!2)), k2_isocat_1(A!0, k11_cat_2(B!1, C!2), B!1, F!5, k16_cat_2(B!1, C!2)), k6_isocat_1(A!0, k11_cat_2(B!1, C!2), B!1, D!3, E!4, H, k16_cat_2(B!1, C!2)), k6_isocat_1(A!0, k11_cat_2(B!1, C!2), B!1, E!4, F!5, I, k16_cat_2(B!1, C!2)))))))),
% 18.80/18.99 inference(rewrite,[status(thm)],[])).
% 18.80/18.99 tff(297,plain,
% 18.80/18.99 ((~![G: $i] : ((~m2_cat_1(G, k11_cat_2(B!1, C!2), B!1)) | ![H: $i] : ((~m2_nattra_1(H, A!0, k11_cat_2(B!1, C!2), D!3, E!4)) | ![I: $i] : ((~m2_nattra_1(I, A!0, k11_cat_2(B!1, C!2), E!4, F!5)) | (~r2_nattra_1(A!0, k11_cat_2(B!1, C!2), D!3, E!4)) | (~r2_nattra_1(A!0, k11_cat_2(B!1, C!2), E!4, F!5)) | r4_nattra_1(u1_cat_1(A!0), u2_cat_1(B!1), u1_cat_1(A!0), u2_cat_1(B!1), k6_isocat_1(A!0, k11_cat_2(B!1, C!2), B!1, D!3, F!5, k8_nattra_1(A!0, k11_cat_2(B!1, C!2), D!3, E!4, F!5, H, I), G), k8_nattra_1(A!0, B!1, k2_isocat_1(A!0, k11_cat_2(B!1, C!2), B!1, D!3, G), k2_isocat_1(A!0, k11_cat_2(B!1, C!2), B!1, E!4, G), k2_isocat_1(A!0, k11_cat_2(B!1, C!2), B!1, F!5, G), k6_isocat_1(A!0, k11_cat_2(B!1, C!2), B!1, D!3, E!4, H, G), k6_isocat_1(A!0, k11_cat_2(B!1, C!2), B!1, E!4, F!5, I, G))))))) | ((~m2_cat_1(k16_cat_2(B!1, C!2), k11_cat_2(B!1, C!2), B!1)) | ![H: $i] : ((~m2_nattra_1(H, A!0, k11_cat_2(B!1, C!2), D!3, E!4)) | ![I: $i] : ((~m2_nattra_1(I, A!0, k11_cat_2(B!1, C!2), E!4, F!5)) | (~r2_nattra_1(A!0, k11_cat_2(B!1, C!2), D!3, E!4)) | (~r2_nattra_1(A!0, k11_cat_2(B!1, C!2), E!4, F!5)) | r4_nattra_1(u1_cat_1(A!0), u2_cat_1(B!1), u1_cat_1(A!0), u2_cat_1(B!1), k6_isocat_1(A!0, k11_cat_2(B!1, C!2), B!1, D!3, F!5, k8_nattra_1(A!0, k11_cat_2(B!1, C!2), D!3, E!4, F!5, H, I), k16_cat_2(B!1, C!2)), k8_nattra_1(A!0, B!1, k2_isocat_1(A!0, k11_cat_2(B!1, C!2), B!1, D!3, k16_cat_2(B!1, C!2)), k2_isocat_1(A!0, k11_cat_2(B!1, C!2), B!1, E!4, k16_cat_2(B!1, C!2)), k2_isocat_1(A!0, k11_cat_2(B!1, C!2), B!1, F!5, k16_cat_2(B!1, C!2)), k6_isocat_1(A!0, k11_cat_2(B!1, C!2), B!1, D!3, E!4, H, k16_cat_2(B!1, C!2)), k6_isocat_1(A!0, k11_cat_2(B!1, C!2), B!1, E!4, F!5, I, k16_cat_2(B!1, C!2)))))))),
% 18.80/18.99 inference(quant_inst,[status(thm)],[])).
% 18.80/18.99 tff(298,plain,
% 18.80/18.99 ((~![G: $i] : ((~m2_cat_1(G, k11_cat_2(B!1, C!2), B!1)) | ![H: $i] : ((~m2_nattra_1(H, A!0, k11_cat_2(B!1, C!2), D!3, E!4)) | ![I: $i] : ((~m2_nattra_1(I, A!0, k11_cat_2(B!1, C!2), E!4, F!5)) | (~r2_nattra_1(A!0, k11_cat_2(B!1, C!2), D!3, E!4)) | (~r2_nattra_1(A!0, k11_cat_2(B!1, C!2), E!4, F!5)) | r4_nattra_1(u1_cat_1(A!0), u2_cat_1(B!1), u1_cat_1(A!0), u2_cat_1(B!1), k6_isocat_1(A!0, k11_cat_2(B!1, C!2), B!1, D!3, F!5, k8_nattra_1(A!0, k11_cat_2(B!1, C!2), D!3, E!4, F!5, H, I), G), k8_nattra_1(A!0, B!1, k2_isocat_1(A!0, k11_cat_2(B!1, C!2), B!1, D!3, G), k2_isocat_1(A!0, k11_cat_2(B!1, C!2), B!1, E!4, G), k2_isocat_1(A!0, k11_cat_2(B!1, C!2), B!1, F!5, G), k6_isocat_1(A!0, k11_cat_2(B!1, C!2), B!1, D!3, E!4, H, G), k6_isocat_1(A!0, k11_cat_2(B!1, C!2), B!1, E!4, F!5, I, G))))))) | (~m2_cat_1(k16_cat_2(B!1, C!2), k11_cat_2(B!1, C!2), B!1)) | ![H: $i] : ((~m2_nattra_1(H, A!0, k11_cat_2(B!1, C!2), D!3, E!4)) | ![I: $i] : ((~m2_nattra_1(I, A!0, k11_cat_2(B!1, C!2), E!4, F!5)) | (~r2_nattra_1(A!0, k11_cat_2(B!1, C!2), D!3, E!4)) | (~r2_nattra_1(A!0, k11_cat_2(B!1, C!2), E!4, F!5)) | r4_nattra_1(u1_cat_1(A!0), u2_cat_1(B!1), u1_cat_1(A!0), u2_cat_1(B!1), k6_isocat_1(A!0, k11_cat_2(B!1, C!2), B!1, D!3, F!5, k8_nattra_1(A!0, k11_cat_2(B!1, C!2), D!3, E!4, F!5, H, I), k16_cat_2(B!1, C!2)), k8_nattra_1(A!0, B!1, k2_isocat_1(A!0, k11_cat_2(B!1, C!2), B!1, D!3, k16_cat_2(B!1, C!2)), k2_isocat_1(A!0, k11_cat_2(B!1, C!2), B!1, E!4, k16_cat_2(B!1, C!2)), k2_isocat_1(A!0, k11_cat_2(B!1, C!2), B!1, F!5, k16_cat_2(B!1, C!2)), k6_isocat_1(A!0, k11_cat_2(B!1, C!2), B!1, D!3, E!4, H, k16_cat_2(B!1, C!2)), k6_isocat_1(A!0, k11_cat_2(B!1, C!2), B!1, E!4, F!5, I, k16_cat_2(B!1, C!2))))))),
% 18.80/18.99 inference(modus_ponens,[status(thm)],[297, 296])).
% 18.80/18.99 tff(299,plain,
% 18.80/18.99 (![H: $i] : ((~m2_nattra_1(H, A!0, k11_cat_2(B!1, C!2), D!3, E!4)) | ![I: $i] : ((~m2_nattra_1(I, A!0, k11_cat_2(B!1, C!2), E!4, F!5)) | (~r2_nattra_1(A!0, k11_cat_2(B!1, C!2), D!3, E!4)) | (~r2_nattra_1(A!0, k11_cat_2(B!1, C!2), E!4, F!5)) | r4_nattra_1(u1_cat_1(A!0), u2_cat_1(B!1), u1_cat_1(A!0), u2_cat_1(B!1), k6_isocat_1(A!0, k11_cat_2(B!1, C!2), B!1, D!3, F!5, k8_nattra_1(A!0, k11_cat_2(B!1, C!2), D!3, E!4, F!5, H, I), k16_cat_2(B!1, C!2)), k8_nattra_1(A!0, B!1, k2_isocat_1(A!0, k11_cat_2(B!1, C!2), B!1, D!3, k16_cat_2(B!1, C!2)), k2_isocat_1(A!0, k11_cat_2(B!1, C!2), B!1, E!4, k16_cat_2(B!1, C!2)), k2_isocat_1(A!0, k11_cat_2(B!1, C!2), B!1, F!5, k16_cat_2(B!1, C!2)), k6_isocat_1(A!0, k11_cat_2(B!1, C!2), B!1, D!3, E!4, H, k16_cat_2(B!1, C!2)), k6_isocat_1(A!0, k11_cat_2(B!1, C!2), B!1, E!4, F!5, I, k16_cat_2(B!1, C!2))))))),
% 18.80/18.99 inference(unit_resolution,[status(thm)],[298, 295, 275])).
% 18.80/18.99 tff(300,plain,
% 18.80/18.99 (((~![H: $i] : ((~m2_nattra_1(H, A!0, k11_cat_2(B!1, C!2), D!3, E!4)) | ![I: $i] : ((~m2_nattra_1(I, A!0, k11_cat_2(B!1, C!2), E!4, F!5)) | (~r2_nattra_1(A!0, k11_cat_2(B!1, C!2), D!3, E!4)) | (~r2_nattra_1(A!0, k11_cat_2(B!1, C!2), E!4, F!5)) | r4_nattra_1(u1_cat_1(A!0), u2_cat_1(B!1), u1_cat_1(A!0), u2_cat_1(B!1), k6_isocat_1(A!0, k11_cat_2(B!1, C!2), B!1, D!3, F!5, k8_nattra_1(A!0, k11_cat_2(B!1, C!2), D!3, E!4, F!5, H, I), k16_cat_2(B!1, C!2)), k8_nattra_1(A!0, B!1, k2_isocat_1(A!0, k11_cat_2(B!1, C!2), B!1, D!3, k16_cat_2(B!1, C!2)), k2_isocat_1(A!0, k11_cat_2(B!1, C!2), B!1, E!4, k16_cat_2(B!1, C!2)), k2_isocat_1(A!0, k11_cat_2(B!1, C!2), B!1, F!5, k16_cat_2(B!1, C!2)), k6_isocat_1(A!0, k11_cat_2(B!1, C!2), B!1, D!3, E!4, H, k16_cat_2(B!1, C!2)), k6_isocat_1(A!0, k11_cat_2(B!1, C!2), B!1, E!4, F!5, I, k16_cat_2(B!1, C!2))))))) | ((~m2_nattra_1(G!6, A!0, k11_cat_2(B!1, C!2), D!3, E!4)) | ![I: $i] : ((~m2_nattra_1(I, A!0, k11_cat_2(B!1, C!2), E!4, F!5)) | (~r2_nattra_1(A!0, k11_cat_2(B!1, C!2), D!3, E!4)) | (~r2_nattra_1(A!0, k11_cat_2(B!1, C!2), E!4, F!5)) | r4_nattra_1(u1_cat_1(A!0), u2_cat_1(B!1), u1_cat_1(A!0), u2_cat_1(B!1), k6_isocat_1(A!0, k11_cat_2(B!1, C!2), B!1, D!3, F!5, k8_nattra_1(A!0, k11_cat_2(B!1, C!2), D!3, E!4, F!5, G!6, I), k16_cat_2(B!1, C!2)), k8_nattra_1(A!0, B!1, k2_isocat_1(A!0, k11_cat_2(B!1, C!2), B!1, D!3, k16_cat_2(B!1, C!2)), k2_isocat_1(A!0, k11_cat_2(B!1, C!2), B!1, E!4, k16_cat_2(B!1, C!2)), k2_isocat_1(A!0, k11_cat_2(B!1, C!2), B!1, F!5, k16_cat_2(B!1, C!2)), k6_isocat_1(A!0, k11_cat_2(B!1, C!2), B!1, D!3, E!4, G!6, k16_cat_2(B!1, C!2)), k6_isocat_1(A!0, k11_cat_2(B!1, C!2), B!1, E!4, F!5, I, k16_cat_2(B!1, C!2))))))) <=> ((~![H: $i] : ((~m2_nattra_1(H, A!0, k11_cat_2(B!1, C!2), D!3, E!4)) | ![I: $i] : ((~m2_nattra_1(I, A!0, k11_cat_2(B!1, C!2), E!4, F!5)) | (~r2_nattra_1(A!0, k11_cat_2(B!1, C!2), D!3, E!4)) | (~r2_nattra_1(A!0, k11_cat_2(B!1, C!2), E!4, F!5)) | r4_nattra_1(u1_cat_1(A!0), u2_cat_1(B!1), u1_cat_1(A!0), u2_cat_1(B!1), k6_isocat_1(A!0, k11_cat_2(B!1, C!2), B!1, D!3, F!5, k8_nattra_1(A!0, k11_cat_2(B!1, C!2), D!3, E!4, F!5, H, I), k16_cat_2(B!1, C!2)), k8_nattra_1(A!0, B!1, k2_isocat_1(A!0, k11_cat_2(B!1, C!2), B!1, D!3, k16_cat_2(B!1, C!2)), k2_isocat_1(A!0, k11_cat_2(B!1, C!2), B!1, E!4, k16_cat_2(B!1, C!2)), k2_isocat_1(A!0, k11_cat_2(B!1, C!2), B!1, F!5, k16_cat_2(B!1, C!2)), k6_isocat_1(A!0, k11_cat_2(B!1, C!2), B!1, D!3, E!4, H, k16_cat_2(B!1, C!2)), k6_isocat_1(A!0, k11_cat_2(B!1, C!2), B!1, E!4, F!5, I, k16_cat_2(B!1, C!2))))))) | (~m2_nattra_1(G!6, A!0, k11_cat_2(B!1, C!2), D!3, E!4)) | ![I: $i] : ((~m2_nattra_1(I, A!0, k11_cat_2(B!1, C!2), E!4, F!5)) | (~r2_nattra_1(A!0, k11_cat_2(B!1, C!2), D!3, E!4)) | (~r2_nattra_1(A!0, k11_cat_2(B!1, C!2), E!4, F!5)) | r4_nattra_1(u1_cat_1(A!0), u2_cat_1(B!1), u1_cat_1(A!0), u2_cat_1(B!1), k6_isocat_1(A!0, k11_cat_2(B!1, C!2), B!1, D!3, F!5, k8_nattra_1(A!0, k11_cat_2(B!1, C!2), D!3, E!4, F!5, G!6, I), k16_cat_2(B!1, C!2)), k8_nattra_1(A!0, B!1, k2_isocat_1(A!0, k11_cat_2(B!1, C!2), B!1, D!3, k16_cat_2(B!1, C!2)), k2_isocat_1(A!0, k11_cat_2(B!1, C!2), B!1, E!4, k16_cat_2(B!1, C!2)), k2_isocat_1(A!0, k11_cat_2(B!1, C!2), B!1, F!5, k16_cat_2(B!1, C!2)), k6_isocat_1(A!0, k11_cat_2(B!1, C!2), B!1, D!3, E!4, G!6, k16_cat_2(B!1, C!2)), k6_isocat_1(A!0, k11_cat_2(B!1, C!2), B!1, E!4, F!5, I, k16_cat_2(B!1, C!2))))))),
% 18.80/19.00 inference(rewrite,[status(thm)],[])).
% 18.80/19.00 tff(301,plain,
% 18.80/19.00 ((~![H: $i] : ((~m2_nattra_1(H, A!0, k11_cat_2(B!1, C!2), D!3, E!4)) | ![I: $i] : ((~m2_nattra_1(I, A!0, k11_cat_2(B!1, C!2), E!4, F!5)) | (~r2_nattra_1(A!0, k11_cat_2(B!1, C!2), D!3, E!4)) | (~r2_nattra_1(A!0, k11_cat_2(B!1, C!2), E!4, F!5)) | r4_nattra_1(u1_cat_1(A!0), u2_cat_1(B!1), u1_cat_1(A!0), u2_cat_1(B!1), k6_isocat_1(A!0, k11_cat_2(B!1, C!2), B!1, D!3, F!5, k8_nattra_1(A!0, k11_cat_2(B!1, C!2), D!3, E!4, F!5, H, I), k16_cat_2(B!1, C!2)), k8_nattra_1(A!0, B!1, k2_isocat_1(A!0, k11_cat_2(B!1, C!2), B!1, D!3, k16_cat_2(B!1, C!2)), k2_isocat_1(A!0, k11_cat_2(B!1, C!2), B!1, E!4, k16_cat_2(B!1, C!2)), k2_isocat_1(A!0, k11_cat_2(B!1, C!2), B!1, F!5, k16_cat_2(B!1, C!2)), k6_isocat_1(A!0, k11_cat_2(B!1, C!2), B!1, D!3, E!4, H, k16_cat_2(B!1, C!2)), k6_isocat_1(A!0, k11_cat_2(B!1, C!2), B!1, E!4, F!5, I, k16_cat_2(B!1, C!2))))))) | ((~m2_nattra_1(G!6, A!0, k11_cat_2(B!1, C!2), D!3, E!4)) | ![I: $i] : ((~m2_nattra_1(I, A!0, k11_cat_2(B!1, C!2), E!4, F!5)) | (~r2_nattra_1(A!0, k11_cat_2(B!1, C!2), D!3, E!4)) | (~r2_nattra_1(A!0, k11_cat_2(B!1, C!2), E!4, F!5)) | r4_nattra_1(u1_cat_1(A!0), u2_cat_1(B!1), u1_cat_1(A!0), u2_cat_1(B!1), k6_isocat_1(A!0, k11_cat_2(B!1, C!2), B!1, D!3, F!5, k8_nattra_1(A!0, k11_cat_2(B!1, C!2), D!3, E!4, F!5, G!6, I), k16_cat_2(B!1, C!2)), k8_nattra_1(A!0, B!1, k2_isocat_1(A!0, k11_cat_2(B!1, C!2), B!1, D!3, k16_cat_2(B!1, C!2)), k2_isocat_1(A!0, k11_cat_2(B!1, C!2), B!1, E!4, k16_cat_2(B!1, C!2)), k2_isocat_1(A!0, k11_cat_2(B!1, C!2), B!1, F!5, k16_cat_2(B!1, C!2)), k6_isocat_1(A!0, k11_cat_2(B!1, C!2), B!1, D!3, E!4, G!6, k16_cat_2(B!1, C!2)), k6_isocat_1(A!0, k11_cat_2(B!1, C!2), B!1, E!4, F!5, I, k16_cat_2(B!1, C!2))))))),
% 18.80/19.00 inference(quant_inst,[status(thm)],[])).
% 18.80/19.00 tff(302,plain,
% 18.80/19.00 ((~![H: $i] : ((~m2_nattra_1(H, A!0, k11_cat_2(B!1, C!2), D!3, E!4)) | ![I: $i] : ((~m2_nattra_1(I, A!0, k11_cat_2(B!1, C!2), E!4, F!5)) | (~r2_nattra_1(A!0, k11_cat_2(B!1, C!2), D!3, E!4)) | (~r2_nattra_1(A!0, k11_cat_2(B!1, C!2), E!4, F!5)) | r4_nattra_1(u1_cat_1(A!0), u2_cat_1(B!1), u1_cat_1(A!0), u2_cat_1(B!1), k6_isocat_1(A!0, k11_cat_2(B!1, C!2), B!1, D!3, F!5, k8_nattra_1(A!0, k11_cat_2(B!1, C!2), D!3, E!4, F!5, H, I), k16_cat_2(B!1, C!2)), k8_nattra_1(A!0, B!1, k2_isocat_1(A!0, k11_cat_2(B!1, C!2), B!1, D!3, k16_cat_2(B!1, C!2)), k2_isocat_1(A!0, k11_cat_2(B!1, C!2), B!1, E!4, k16_cat_2(B!1, C!2)), k2_isocat_1(A!0, k11_cat_2(B!1, C!2), B!1, F!5, k16_cat_2(B!1, C!2)), k6_isocat_1(A!0, k11_cat_2(B!1, C!2), B!1, D!3, E!4, H, k16_cat_2(B!1, C!2)), k6_isocat_1(A!0, k11_cat_2(B!1, C!2), B!1, E!4, F!5, I, k16_cat_2(B!1, C!2))))))) | (~m2_nattra_1(G!6, A!0, k11_cat_2(B!1, C!2), D!3, E!4)) | ![I: $i] : ((~m2_nattra_1(I, A!0, k11_cat_2(B!1, C!2), E!4, F!5)) | (~r2_nattra_1(A!0, k11_cat_2(B!1, C!2), D!3, E!4)) | (~r2_nattra_1(A!0, k11_cat_2(B!1, C!2), E!4, F!5)) | r4_nattra_1(u1_cat_1(A!0), u2_cat_1(B!1), u1_cat_1(A!0), u2_cat_1(B!1), k6_isocat_1(A!0, k11_cat_2(B!1, C!2), B!1, D!3, F!5, k8_nattra_1(A!0, k11_cat_2(B!1, C!2), D!3, E!4, F!5, G!6, I), k16_cat_2(B!1, C!2)), k8_nattra_1(A!0, B!1, k2_isocat_1(A!0, k11_cat_2(B!1, C!2), B!1, D!3, k16_cat_2(B!1, C!2)), k2_isocat_1(A!0, k11_cat_2(B!1, C!2), B!1, E!4, k16_cat_2(B!1, C!2)), k2_isocat_1(A!0, k11_cat_2(B!1, C!2), B!1, F!5, k16_cat_2(B!1, C!2)), k6_isocat_1(A!0, k11_cat_2(B!1, C!2), B!1, D!3, E!4, G!6, k16_cat_2(B!1, C!2)), k6_isocat_1(A!0, k11_cat_2(B!1, C!2), B!1, E!4, F!5, I, k16_cat_2(B!1, C!2)))))),
% 18.80/19.00 inference(modus_ponens,[status(thm)],[301, 300])).
% 18.80/19.00 tff(303,plain,
% 18.80/19.00 (![I: $i] : ((~m2_nattra_1(I, A!0, k11_cat_2(B!1, C!2), E!4, F!5)) | (~r2_nattra_1(A!0, k11_cat_2(B!1, C!2), D!3, E!4)) | (~r2_nattra_1(A!0, k11_cat_2(B!1, C!2), E!4, F!5)) | r4_nattra_1(u1_cat_1(A!0), u2_cat_1(B!1), u1_cat_1(A!0), u2_cat_1(B!1), k6_isocat_1(A!0, k11_cat_2(B!1, C!2), B!1, D!3, F!5, k8_nattra_1(A!0, k11_cat_2(B!1, C!2), D!3, E!4, F!5, G!6, I), k16_cat_2(B!1, C!2)), k8_nattra_1(A!0, B!1, k2_isocat_1(A!0, k11_cat_2(B!1, C!2), B!1, D!3, k16_cat_2(B!1, C!2)), k2_isocat_1(A!0, k11_cat_2(B!1, C!2), B!1, E!4, k16_cat_2(B!1, C!2)), k2_isocat_1(A!0, k11_cat_2(B!1, C!2), B!1, F!5, k16_cat_2(B!1, C!2)), k6_isocat_1(A!0, k11_cat_2(B!1, C!2), B!1, D!3, E!4, G!6, k16_cat_2(B!1, C!2)), k6_isocat_1(A!0, k11_cat_2(B!1, C!2), B!1, E!4, F!5, I, k16_cat_2(B!1, C!2)))))),
% 18.80/19.00 inference(unit_resolution,[status(thm)],[302, 111, 299])).
% 18.80/19.00 tff(304,plain,
% 18.80/19.00 (r2_nattra_1(A!0, k11_cat_2(B!1, C!2), E!4, F!5)),
% 18.80/19.00 inference(and_elim,[status(thm)],[43])).
% 18.80/19.00 tff(305,plain,
% 18.80/19.00 (r2_nattra_1(A!0, k11_cat_2(B!1, C!2), D!3, E!4)),
% 18.80/19.00 inference(and_elim,[status(thm)],[43])).
% 18.80/19.00 tff(306,plain,
% 18.80/19.00 (((~![I: $i] : ((~m2_nattra_1(I, A!0, k11_cat_2(B!1, C!2), E!4, F!5)) | (~r2_nattra_1(A!0, k11_cat_2(B!1, C!2), D!3, E!4)) | (~r2_nattra_1(A!0, k11_cat_2(B!1, C!2), E!4, F!5)) | r4_nattra_1(u1_cat_1(A!0), u2_cat_1(B!1), u1_cat_1(A!0), u2_cat_1(B!1), k6_isocat_1(A!0, k11_cat_2(B!1, C!2), B!1, D!3, F!5, k8_nattra_1(A!0, k11_cat_2(B!1, C!2), D!3, E!4, F!5, G!6, I), k16_cat_2(B!1, C!2)), k8_nattra_1(A!0, B!1, k2_isocat_1(A!0, k11_cat_2(B!1, C!2), B!1, D!3, k16_cat_2(B!1, C!2)), k2_isocat_1(A!0, k11_cat_2(B!1, C!2), B!1, E!4, k16_cat_2(B!1, C!2)), k2_isocat_1(A!0, k11_cat_2(B!1, C!2), B!1, F!5, k16_cat_2(B!1, C!2)), k6_isocat_1(A!0, k11_cat_2(B!1, C!2), B!1, D!3, E!4, G!6, k16_cat_2(B!1, C!2)), k6_isocat_1(A!0, k11_cat_2(B!1, C!2), B!1, E!4, F!5, I, k16_cat_2(B!1, C!2)))))) | ((~m2_nattra_1(H!7, A!0, k11_cat_2(B!1, C!2), E!4, F!5)) | (~r2_nattra_1(A!0, k11_cat_2(B!1, C!2), D!3, E!4)) | (~r2_nattra_1(A!0, k11_cat_2(B!1, C!2), E!4, F!5)) | r4_nattra_1(u1_cat_1(A!0), u2_cat_1(B!1), u1_cat_1(A!0), u2_cat_1(B!1), k6_isocat_1(A!0, k11_cat_2(B!1, C!2), B!1, D!3, F!5, k8_nattra_1(A!0, k11_cat_2(B!1, C!2), D!3, E!4, F!5, G!6, H!7), k16_cat_2(B!1, C!2)), k8_nattra_1(A!0, B!1, k2_isocat_1(A!0, k11_cat_2(B!1, C!2), B!1, D!3, k16_cat_2(B!1, C!2)), k2_isocat_1(A!0, k11_cat_2(B!1, C!2), B!1, E!4, k16_cat_2(B!1, C!2)), k2_isocat_1(A!0, k11_cat_2(B!1, C!2), B!1, F!5, k16_cat_2(B!1, C!2)), k6_isocat_1(A!0, k11_cat_2(B!1, C!2), B!1, D!3, E!4, G!6, k16_cat_2(B!1, C!2)), k6_isocat_1(A!0, k11_cat_2(B!1, C!2), B!1, E!4, F!5, H!7, k16_cat_2(B!1, C!2)))))) <=> ((~![I: $i] : ((~m2_nattra_1(I, A!0, k11_cat_2(B!1, C!2), E!4, F!5)) | (~r2_nattra_1(A!0, k11_cat_2(B!1, C!2), D!3, E!4)) | (~r2_nattra_1(A!0, k11_cat_2(B!1, C!2), E!4, F!5)) | r4_nattra_1(u1_cat_1(A!0), u2_cat_1(B!1), u1_cat_1(A!0), u2_cat_1(B!1), k6_isocat_1(A!0, k11_cat_2(B!1, C!2), B!1, D!3, F!5, k8_nattra_1(A!0, k11_cat_2(B!1, C!2), D!3, E!4, F!5, G!6, I), k16_cat_2(B!1, C!2)), k8_nattra_1(A!0, B!1, k2_isocat_1(A!0, k11_cat_2(B!1, C!2), B!1, D!3, k16_cat_2(B!1, C!2)), k2_isocat_1(A!0, k11_cat_2(B!1, C!2), B!1, E!4, k16_cat_2(B!1, C!2)), k2_isocat_1(A!0, k11_cat_2(B!1, C!2), B!1, F!5, k16_cat_2(B!1, C!2)), k6_isocat_1(A!0, k11_cat_2(B!1, C!2), B!1, D!3, E!4, G!6, k16_cat_2(B!1, C!2)), k6_isocat_1(A!0, k11_cat_2(B!1, C!2), B!1, E!4, F!5, I, k16_cat_2(B!1, C!2)))))) | (~m2_nattra_1(H!7, A!0, k11_cat_2(B!1, C!2), E!4, F!5)) | (~r2_nattra_1(A!0, k11_cat_2(B!1, C!2), D!3, E!4)) | (~r2_nattra_1(A!0, k11_cat_2(B!1, C!2), E!4, F!5)) | r4_nattra_1(u1_cat_1(A!0), u2_cat_1(B!1), u1_cat_1(A!0), u2_cat_1(B!1), k6_isocat_1(A!0, k11_cat_2(B!1, C!2), B!1, D!3, F!5, k8_nattra_1(A!0, k11_cat_2(B!1, C!2), D!3, E!4, F!5, G!6, H!7), k16_cat_2(B!1, C!2)), k8_nattra_1(A!0, B!1, k2_isocat_1(A!0, k11_cat_2(B!1, C!2), B!1, D!3, k16_cat_2(B!1, C!2)), k2_isocat_1(A!0, k11_cat_2(B!1, C!2), B!1, E!4, k16_cat_2(B!1, C!2)), k2_isocat_1(A!0, k11_cat_2(B!1, C!2), B!1, F!5, k16_cat_2(B!1, C!2)), k6_isocat_1(A!0, k11_cat_2(B!1, C!2), B!1, D!3, E!4, G!6, k16_cat_2(B!1, C!2)), k6_isocat_1(A!0, k11_cat_2(B!1, C!2), B!1, E!4, F!5, H!7, k16_cat_2(B!1, C!2)))))),
% 18.80/19.00 inference(rewrite,[status(thm)],[])).
% 18.80/19.00 tff(307,plain,
% 18.80/19.00 ((~![I: $i] : ((~m2_nattra_1(I, A!0, k11_cat_2(B!1, C!2), E!4, F!5)) | (~r2_nattra_1(A!0, k11_cat_2(B!1, C!2), D!3, E!4)) | (~r2_nattra_1(A!0, k11_cat_2(B!1, C!2), E!4, F!5)) | r4_nattra_1(u1_cat_1(A!0), u2_cat_1(B!1), u1_cat_1(A!0), u2_cat_1(B!1), k6_isocat_1(A!0, k11_cat_2(B!1, C!2), B!1, D!3, F!5, k8_nattra_1(A!0, k11_cat_2(B!1, C!2), D!3, E!4, F!5, G!6, I), k16_cat_2(B!1, C!2)), k8_nattra_1(A!0, B!1, k2_isocat_1(A!0, k11_cat_2(B!1, C!2), B!1, D!3, k16_cat_2(B!1, C!2)), k2_isocat_1(A!0, k11_cat_2(B!1, C!2), B!1, E!4, k16_cat_2(B!1, C!2)), k2_isocat_1(A!0, k11_cat_2(B!1, C!2), B!1, F!5, k16_cat_2(B!1, C!2)), k6_isocat_1(A!0, k11_cat_2(B!1, C!2), B!1, D!3, E!4, G!6, k16_cat_2(B!1, C!2)), k6_isocat_1(A!0, k11_cat_2(B!1, C!2), B!1, E!4, F!5, I, k16_cat_2(B!1, C!2)))))) | ((~m2_nattra_1(H!7, A!0, k11_cat_2(B!1, C!2), E!4, F!5)) | (~r2_nattra_1(A!0, k11_cat_2(B!1, C!2), D!3, E!4)) | (~r2_nattra_1(A!0, k11_cat_2(B!1, C!2), E!4, F!5)) | r4_nattra_1(u1_cat_1(A!0), u2_cat_1(B!1), u1_cat_1(A!0), u2_cat_1(B!1), k6_isocat_1(A!0, k11_cat_2(B!1, C!2), B!1, D!3, F!5, k8_nattra_1(A!0, k11_cat_2(B!1, C!2), D!3, E!4, F!5, G!6, H!7), k16_cat_2(B!1, C!2)), k8_nattra_1(A!0, B!1, k2_isocat_1(A!0, k11_cat_2(B!1, C!2), B!1, D!3, k16_cat_2(B!1, C!2)), k2_isocat_1(A!0, k11_cat_2(B!1, C!2), B!1, E!4, k16_cat_2(B!1, C!2)), k2_isocat_1(A!0, k11_cat_2(B!1, C!2), B!1, F!5, k16_cat_2(B!1, C!2)), k6_isocat_1(A!0, k11_cat_2(B!1, C!2), B!1, D!3, E!4, G!6, k16_cat_2(B!1, C!2)), k6_isocat_1(A!0, k11_cat_2(B!1, C!2), B!1, E!4, F!5, H!7, k16_cat_2(B!1, C!2)))))),
% 18.80/19.00 inference(quant_inst,[status(thm)],[])).
% 18.80/19.00 tff(308,plain,
% 18.80/19.00 ((~![I: $i] : ((~m2_nattra_1(I, A!0, k11_cat_2(B!1, C!2), E!4, F!5)) | (~r2_nattra_1(A!0, k11_cat_2(B!1, C!2), D!3, E!4)) | (~r2_nattra_1(A!0, k11_cat_2(B!1, C!2), E!4, F!5)) | r4_nattra_1(u1_cat_1(A!0), u2_cat_1(B!1), u1_cat_1(A!0), u2_cat_1(B!1), k6_isocat_1(A!0, k11_cat_2(B!1, C!2), B!1, D!3, F!5, k8_nattra_1(A!0, k11_cat_2(B!1, C!2), D!3, E!4, F!5, G!6, I), k16_cat_2(B!1, C!2)), k8_nattra_1(A!0, B!1, k2_isocat_1(A!0, k11_cat_2(B!1, C!2), B!1, D!3, k16_cat_2(B!1, C!2)), k2_isocat_1(A!0, k11_cat_2(B!1, C!2), B!1, E!4, k16_cat_2(B!1, C!2)), k2_isocat_1(A!0, k11_cat_2(B!1, C!2), B!1, F!5, k16_cat_2(B!1, C!2)), k6_isocat_1(A!0, k11_cat_2(B!1, C!2), B!1, D!3, E!4, G!6, k16_cat_2(B!1, C!2)), k6_isocat_1(A!0, k11_cat_2(B!1, C!2), B!1, E!4, F!5, I, k16_cat_2(B!1, C!2)))))) | (~m2_nattra_1(H!7, A!0, k11_cat_2(B!1, C!2), E!4, F!5)) | (~r2_nattra_1(A!0, k11_cat_2(B!1, C!2), D!3, E!4)) | (~r2_nattra_1(A!0, k11_cat_2(B!1, C!2), E!4, F!5)) | r4_nattra_1(u1_cat_1(A!0), u2_cat_1(B!1), u1_cat_1(A!0), u2_cat_1(B!1), k6_isocat_1(A!0, k11_cat_2(B!1, C!2), B!1, D!3, F!5, k8_nattra_1(A!0, k11_cat_2(B!1, C!2), D!3, E!4, F!5, G!6, H!7), k16_cat_2(B!1, C!2)), k8_nattra_1(A!0, B!1, k2_isocat_1(A!0, k11_cat_2(B!1, C!2), B!1, D!3, k16_cat_2(B!1, C!2)), k2_isocat_1(A!0, k11_cat_2(B!1, C!2), B!1, E!4, k16_cat_2(B!1, C!2)), k2_isocat_1(A!0, k11_cat_2(B!1, C!2), B!1, F!5, k16_cat_2(B!1, C!2)), k6_isocat_1(A!0, k11_cat_2(B!1, C!2), B!1, D!3, E!4, G!6, k16_cat_2(B!1, C!2)), k6_isocat_1(A!0, k11_cat_2(B!1, C!2), B!1, E!4, F!5, H!7, k16_cat_2(B!1, C!2))))),
% 18.80/19.00 inference(modus_ponens,[status(thm)],[307, 306])).
% 18.80/19.00 tff(309,plain,
% 18.80/19.00 (r4_nattra_1(u1_cat_1(A!0), u2_cat_1(B!1), u1_cat_1(A!0), u2_cat_1(B!1), k6_isocat_1(A!0, k11_cat_2(B!1, C!2), B!1, D!3, F!5, k8_nattra_1(A!0, k11_cat_2(B!1, C!2), D!3, E!4, F!5, G!6, H!7), k16_cat_2(B!1, C!2)), k8_nattra_1(A!0, B!1, k2_isocat_1(A!0, k11_cat_2(B!1, C!2), B!1, D!3, k16_cat_2(B!1, C!2)), k2_isocat_1(A!0, k11_cat_2(B!1, C!2), B!1, E!4, k16_cat_2(B!1, C!2)), k2_isocat_1(A!0, k11_cat_2(B!1, C!2), B!1, F!5, k16_cat_2(B!1, C!2)), k6_isocat_1(A!0, k11_cat_2(B!1, C!2), B!1, D!3, E!4, G!6, k16_cat_2(B!1, C!2)), k6_isocat_1(A!0, k11_cat_2(B!1, C!2), B!1, E!4, F!5, H!7, k16_cat_2(B!1, C!2))))),
% 18.80/19.00 inference(unit_resolution,[status(thm)],[308, 73, 305, 304, 303])).
% 18.80/19.00 tff(310,plain,
% 18.80/19.00 (r4_nattra_1(u1_cat_1(A!0), u2_cat_1(B!1), u1_cat_1(A!0), u2_cat_1(B!1), k13_isocat_2(A!0, B!1, C!2, D!3, F!5, k8_nattra_1(A!0, k11_cat_2(B!1, C!2), D!3, E!4, F!5, G!6, H!7)), k8_nattra_1(A!0, B!1, k11_isocat_2(A!0, B!1, C!2, D!3), k11_isocat_2(A!0, B!1, C!2, E!4), k11_isocat_2(A!0, B!1, C!2, F!5), k13_isocat_2(A!0, B!1, C!2, D!3, E!4, G!6), k13_isocat_2(A!0, B!1, C!2, E!4, F!5, H!7)))),
% 18.80/19.00 inference(modus_ponens,[status(thm)],[309, 226])).
% 18.80/19.00 tff(311,plain,
% 18.80/19.00 (^[A: $i] : rewrite(((~l1_cat_1(A)) | (~v2_cat_1(A)) | ![B: $i] : ((~l1_cat_1(B)) | (~v2_cat_1(B)) | ![C: $i] : ((~l1_cat_1(C)) | ![D: $i] : ((~m2_cat_1(D, A, k11_cat_2(B, C))) | ![E: $i] : ((~m2_cat_1(E, A, k11_cat_2(B, C))) | ![F: $i] : ((~m2_nattra_1(F, A, k11_cat_2(B, C), D, E)) | (k14_isocat_2(A, B, C, D, E, F) = k6_isocat_1(A, k11_cat_2(B, C), C, D, E, F, k9_isocat_2(B, C)))))) | (~v2_cat_1(C))))) <=> ((~l1_cat_1(A)) | (~v2_cat_1(A)) | ![B: $i] : ((~l1_cat_1(B)) | (~v2_cat_1(B)) | ![C: $i] : ((~l1_cat_1(C)) | (~v2_cat_1(C)) | ![D: $i] : ((~m2_cat_1(D, A, k11_cat_2(B, C))) | ![E: $i] : ((~m2_cat_1(E, A, k11_cat_2(B, C))) | ![F: $i] : ((~m2_nattra_1(F, A, k11_cat_2(B, C), D, E)) | (k14_isocat_2(A, B, C, D, E, F) = k6_isocat_1(A, k11_cat_2(B, C), C, D, E, F, k9_isocat_2(B, C))))))))))),
% 18.80/19.00 inference(bind,[status(th)],[])).
% 18.80/19.00 tff(312,plain,
% 18.80/19.00 (![A: $i] : ((~l1_cat_1(A)) | (~v2_cat_1(A)) | ![B: $i] : ((~l1_cat_1(B)) | (~v2_cat_1(B)) | ![C: $i] : ((~l1_cat_1(C)) | ![D: $i] : ((~m2_cat_1(D, A, k11_cat_2(B, C))) | ![E: $i] : ((~m2_cat_1(E, A, k11_cat_2(B, C))) | ![F: $i] : ((~m2_nattra_1(F, A, k11_cat_2(B, C), D, E)) | (k14_isocat_2(A, B, C, D, E, F) = k6_isocat_1(A, k11_cat_2(B, C), C, D, E, F, k9_isocat_2(B, C)))))) | (~v2_cat_1(C))))) <=> ![A: $i] : ((~l1_cat_1(A)) | (~v2_cat_1(A)) | ![B: $i] : ((~l1_cat_1(B)) | (~v2_cat_1(B)) | ![C: $i] : ((~l1_cat_1(C)) | (~v2_cat_1(C)) | ![D: $i] : ((~m2_cat_1(D, A, k11_cat_2(B, C))) | ![E: $i] : ((~m2_cat_1(E, A, k11_cat_2(B, C))) | ![F: $i] : ((~m2_nattra_1(F, A, k11_cat_2(B, C), D, E)) | (k14_isocat_2(A, B, C, D, E, F) = k6_isocat_1(A, k11_cat_2(B, C), C, D, E, F, k9_isocat_2(B, C)))))))))),
% 18.80/19.00 inference(quant_intro,[status(thm)],[311])).
% 18.80/19.00 tff(313,plain,
% 18.80/19.00 (^[A: $i] : refl(((~l1_cat_1(A)) | (~v2_cat_1(A)) | ![B: $i] : ((~l1_cat_1(B)) | (~v2_cat_1(B)) | ![C: $i] : ((~l1_cat_1(C)) | ![D: $i] : ((~m2_cat_1(D, A, k11_cat_2(B, C))) | ![E: $i] : ((~m2_cat_1(E, A, k11_cat_2(B, C))) | ![F: $i] : ((~m2_nattra_1(F, A, k11_cat_2(B, C), D, E)) | (k14_isocat_2(A, B, C, D, E, F) = k6_isocat_1(A, k11_cat_2(B, C), C, D, E, F, k9_isocat_2(B, C)))))) | (~v2_cat_1(C))))) <=> ((~l1_cat_1(A)) | (~v2_cat_1(A)) | ![B: $i] : ((~l1_cat_1(B)) | (~v2_cat_1(B)) | ![C: $i] : ((~l1_cat_1(C)) | ![D: $i] : ((~m2_cat_1(D, A, k11_cat_2(B, C))) | ![E: $i] : ((~m2_cat_1(E, A, k11_cat_2(B, C))) | ![F: $i] : ((~m2_nattra_1(F, A, k11_cat_2(B, C), D, E)) | (k14_isocat_2(A, B, C, D, E, F) = k6_isocat_1(A, k11_cat_2(B, C), C, D, E, F, k9_isocat_2(B, C)))))) | (~v2_cat_1(C))))))),
% 18.80/19.00 inference(bind,[status(th)],[])).
% 18.80/19.00 tff(314,plain,
% 18.80/19.00 (![A: $i] : ((~l1_cat_1(A)) | (~v2_cat_1(A)) | ![B: $i] : ((~l1_cat_1(B)) | (~v2_cat_1(B)) | ![C: $i] : ((~l1_cat_1(C)) | ![D: $i] : ((~m2_cat_1(D, A, k11_cat_2(B, C))) | ![E: $i] : ((~m2_cat_1(E, A, k11_cat_2(B, C))) | ![F: $i] : ((~m2_nattra_1(F, A, k11_cat_2(B, C), D, E)) | (k14_isocat_2(A, B, C, D, E, F) = k6_isocat_1(A, k11_cat_2(B, C), C, D, E, F, k9_isocat_2(B, C)))))) | (~v2_cat_1(C))))) <=> ![A: $i] : ((~l1_cat_1(A)) | (~v2_cat_1(A)) | ![B: $i] : ((~l1_cat_1(B)) | (~v2_cat_1(B)) | ![C: $i] : ((~l1_cat_1(C)) | ![D: $i] : ((~m2_cat_1(D, A, k11_cat_2(B, C))) | ![E: $i] : ((~m2_cat_1(E, A, k11_cat_2(B, C))) | ![F: $i] : ((~m2_nattra_1(F, A, k11_cat_2(B, C), D, E)) | (k14_isocat_2(A, B, C, D, E, F) = k6_isocat_1(A, k11_cat_2(B, C), C, D, E, F, k9_isocat_2(B, C)))))) | (~v2_cat_1(C)))))),
% 18.80/19.00 inference(quant_intro,[status(thm)],[313])).
% 18.80/19.00 tff(315,plain,
% 18.80/19.00 (^[A: $i] : rewrite(((~l1_cat_1(A)) | (~v2_cat_1(A)) | ![B: $i] : ((~l1_cat_1(B)) | (~v2_cat_1(B)) | ![C: $i] : ((~l1_cat_1(C)) | ![D: $i] : ((~m2_cat_1(D, A, k11_cat_2(B, C))) | ![E: $i] : ((~m2_cat_1(E, A, k11_cat_2(B, C))) | ![F: $i] : ((~m2_nattra_1(F, A, k11_cat_2(B, C), D, E)) | (k14_isocat_2(A, B, C, D, E, F) = k6_isocat_1(A, k11_cat_2(B, C), C, D, E, F, k9_isocat_2(B, C)))))) | (~v2_cat_1(C))))) <=> ((~l1_cat_1(A)) | (~v2_cat_1(A)) | ![B: $i] : ((~l1_cat_1(B)) | (~v2_cat_1(B)) | ![C: $i] : ((~l1_cat_1(C)) | ![D: $i] : ((~m2_cat_1(D, A, k11_cat_2(B, C))) | ![E: $i] : ((~m2_cat_1(E, A, k11_cat_2(B, C))) | ![F: $i] : ((~m2_nattra_1(F, A, k11_cat_2(B, C), D, E)) | (k14_isocat_2(A, B, C, D, E, F) = k6_isocat_1(A, k11_cat_2(B, C), C, D, E, F, k9_isocat_2(B, C)))))) | (~v2_cat_1(C))))))),
% 18.80/19.00 inference(bind,[status(th)],[])).
% 18.80/19.00 tff(316,plain,
% 18.80/19.00 (![A: $i] : ((~l1_cat_1(A)) | (~v2_cat_1(A)) | ![B: $i] : ((~l1_cat_1(B)) | (~v2_cat_1(B)) | ![C: $i] : ((~l1_cat_1(C)) | ![D: $i] : ((~m2_cat_1(D, A, k11_cat_2(B, C))) | ![E: $i] : ((~m2_cat_1(E, A, k11_cat_2(B, C))) | ![F: $i] : ((~m2_nattra_1(F, A, k11_cat_2(B, C), D, E)) | (k14_isocat_2(A, B, C, D, E, F) = k6_isocat_1(A, k11_cat_2(B, C), C, D, E, F, k9_isocat_2(B, C)))))) | (~v2_cat_1(C))))) <=> ![A: $i] : ((~l1_cat_1(A)) | (~v2_cat_1(A)) | ![B: $i] : ((~l1_cat_1(B)) | (~v2_cat_1(B)) | ![C: $i] : ((~l1_cat_1(C)) | ![D: $i] : ((~m2_cat_1(D, A, k11_cat_2(B, C))) | ![E: $i] : ((~m2_cat_1(E, A, k11_cat_2(B, C))) | ![F: $i] : ((~m2_nattra_1(F, A, k11_cat_2(B, C), D, E)) | (k14_isocat_2(A, B, C, D, E, F) = k6_isocat_1(A, k11_cat_2(B, C), C, D, E, F, k9_isocat_2(B, C)))))) | (~v2_cat_1(C)))))),
% 18.80/19.00 inference(quant_intro,[status(thm)],[315])).
% 18.80/19.00 tff(317,plain,
% 18.80/19.00 (![A: $i] : ((~l1_cat_1(A)) | (~v2_cat_1(A)) | ![B: $i] : ((~l1_cat_1(B)) | (~v2_cat_1(B)) | ![C: $i] : ((~l1_cat_1(C)) | ![D: $i] : ((~m2_cat_1(D, A, k11_cat_2(B, C))) | ![E: $i] : ((~m2_cat_1(E, A, k11_cat_2(B, C))) | ![F: $i] : ((~m2_nattra_1(F, A, k11_cat_2(B, C), D, E)) | (k14_isocat_2(A, B, C, D, E, F) = k6_isocat_1(A, k11_cat_2(B, C), C, D, E, F, k9_isocat_2(B, C)))))) | (~v2_cat_1(C))))) <=> ![A: $i] : ((~l1_cat_1(A)) | (~v2_cat_1(A)) | ![B: $i] : ((~l1_cat_1(B)) | (~v2_cat_1(B)) | ![C: $i] : ((~l1_cat_1(C)) | ![D: $i] : ((~m2_cat_1(D, A, k11_cat_2(B, C))) | ![E: $i] : ((~m2_cat_1(E, A, k11_cat_2(B, C))) | ![F: $i] : ((~m2_nattra_1(F, A, k11_cat_2(B, C), D, E)) | (k14_isocat_2(A, B, C, D, E, F) = k6_isocat_1(A, k11_cat_2(B, C), C, D, E, F, k9_isocat_2(B, C)))))) | (~v2_cat_1(C)))))),
% 18.80/19.01 inference(transitivity,[status(thm)],[316, 314])).
% 18.80/19.01 tff(318,plain,
% 18.80/19.01 (^[A: $i] : trans(monotonicity(trans(monotonicity(rewrite((v2_cat_1(A) & l1_cat_1(A)) <=> (~((~l1_cat_1(A)) | (~v2_cat_1(A))))), ((~(v2_cat_1(A) & l1_cat_1(A))) <=> (~(~((~l1_cat_1(A)) | (~v2_cat_1(A))))))), rewrite((~(~((~l1_cat_1(A)) | (~v2_cat_1(A))))) <=> ((~l1_cat_1(A)) | (~v2_cat_1(A)))), ((~(v2_cat_1(A) & l1_cat_1(A))) <=> ((~l1_cat_1(A)) | (~v2_cat_1(A))))), quant_intro(proof_bind(^[B: $i] : trans(monotonicity(trans(monotonicity(rewrite((v2_cat_1(B) & l1_cat_1(B)) <=> (~((~l1_cat_1(B)) | (~v2_cat_1(B))))), ((~(v2_cat_1(B) & l1_cat_1(B))) <=> (~(~((~l1_cat_1(B)) | (~v2_cat_1(B))))))), rewrite((~(~((~l1_cat_1(B)) | (~v2_cat_1(B))))) <=> ((~l1_cat_1(B)) | (~v2_cat_1(B)))), ((~(v2_cat_1(B) & l1_cat_1(B))) <=> ((~l1_cat_1(B)) | (~v2_cat_1(B))))), quant_intro(proof_bind(^[C: $i] : trans(monotonicity(trans(monotonicity(rewrite((v2_cat_1(C) & l1_cat_1(C)) <=> (~((~l1_cat_1(C)) | (~v2_cat_1(C))))), ((~(v2_cat_1(C) & l1_cat_1(C))) <=> (~(~((~l1_cat_1(C)) | (~v2_cat_1(C))))))), rewrite((~(~((~l1_cat_1(C)) | (~v2_cat_1(C))))) <=> ((~l1_cat_1(C)) | (~v2_cat_1(C)))), ((~(v2_cat_1(C) & l1_cat_1(C))) <=> ((~l1_cat_1(C)) | (~v2_cat_1(C))))), (((~(v2_cat_1(C) & l1_cat_1(C))) | ![D: $i] : ((~m2_cat_1(D, A, k11_cat_2(B, C))) | ![E: $i] : ((~m2_cat_1(E, A, k11_cat_2(B, C))) | ![F: $i] : ((~m2_nattra_1(F, A, k11_cat_2(B, C), D, E)) | (k14_isocat_2(A, B, C, D, E, F) = k6_isocat_1(A, k11_cat_2(B, C), C, D, E, F, k9_isocat_2(B, C))))))) <=> (((~l1_cat_1(C)) | (~v2_cat_1(C))) | ![D: $i] : ((~m2_cat_1(D, A, k11_cat_2(B, C))) | ![E: $i] : ((~m2_cat_1(E, A, k11_cat_2(B, C))) | ![F: $i] : ((~m2_nattra_1(F, A, k11_cat_2(B, C), D, E)) | (k14_isocat_2(A, B, C, D, E, F) = k6_isocat_1(A, k11_cat_2(B, C), C, D, E, F, k9_isocat_2(B, C))))))))), rewrite((((~l1_cat_1(C)) | (~v2_cat_1(C))) | ![D: $i] : ((~m2_cat_1(D, A, k11_cat_2(B, C))) | ![E: $i] : ((~m2_cat_1(E, A, k11_cat_2(B, C))) | ![F: $i] : ((~m2_nattra_1(F, A, k11_cat_2(B, C), D, E)) | (k14_isocat_2(A, B, C, D, E, F) = k6_isocat_1(A, k11_cat_2(B, C), C, D, E, F, k9_isocat_2(B, C))))))) <=> ((~l1_cat_1(C)) | ![D: $i] : ((~m2_cat_1(D, A, k11_cat_2(B, C))) | ![E: $i] : ((~m2_cat_1(E, A, k11_cat_2(B, C))) | ![F: $i] : ((~m2_nattra_1(F, A, k11_cat_2(B, C), D, E)) | (k14_isocat_2(A, B, C, D, E, F) = k6_isocat_1(A, k11_cat_2(B, C), C, D, E, F, k9_isocat_2(B, C)))))) | (~v2_cat_1(C)))), (((~(v2_cat_1(C) & l1_cat_1(C))) | ![D: $i] : ((~m2_cat_1(D, A, k11_cat_2(B, C))) | ![E: $i] : ((~m2_cat_1(E, A, k11_cat_2(B, C))) | ![F: $i] : ((~m2_nattra_1(F, A, k11_cat_2(B, C), D, E)) | (k14_isocat_2(A, B, C, D, E, F) = k6_isocat_1(A, k11_cat_2(B, C), C, D, E, F, k9_isocat_2(B, C))))))) <=> ((~l1_cat_1(C)) | ![D: $i] : ((~m2_cat_1(D, A, k11_cat_2(B, C))) | ![E: $i] : ((~m2_cat_1(E, A, k11_cat_2(B, C))) | ![F: $i] : ((~m2_nattra_1(F, A, k11_cat_2(B, C), D, E)) | (k14_isocat_2(A, B, C, D, E, F) = k6_isocat_1(A, k11_cat_2(B, C), C, D, E, F, k9_isocat_2(B, C)))))) | (~v2_cat_1(C)))))), (![C: $i] : ((~(v2_cat_1(C) & l1_cat_1(C))) | ![D: $i] : ((~m2_cat_1(D, A, k11_cat_2(B, C))) | ![E: $i] : ((~m2_cat_1(E, A, k11_cat_2(B, C))) | ![F: $i] : ((~m2_nattra_1(F, A, k11_cat_2(B, C), D, E)) | (k14_isocat_2(A, B, C, D, E, F) = k6_isocat_1(A, k11_cat_2(B, C), C, D, E, F, k9_isocat_2(B, C))))))) <=> ![C: $i] : ((~l1_cat_1(C)) | ![D: $i] : ((~m2_cat_1(D, A, k11_cat_2(B, C))) | ![E: $i] : ((~m2_cat_1(E, A, k11_cat_2(B, C))) | ![F: $i] : ((~m2_nattra_1(F, A, k11_cat_2(B, C), D, E)) | (k14_isocat_2(A, B, C, D, E, F) = k6_isocat_1(A, k11_cat_2(B, C), C, D, E, F, k9_isocat_2(B, C)))))) | (~v2_cat_1(C))))), (((~(v2_cat_1(B) & l1_cat_1(B))) | ![C: $i] : ((~(v2_cat_1(C) & l1_cat_1(C))) | ![D: $i] : ((~m2_cat_1(D, A, k11_cat_2(B, C))) | ![E: $i] : ((~m2_cat_1(E, A, k11_cat_2(B, C))) | ![F: $i] : ((~m2_nattra_1(F, A, k11_cat_2(B, C), D, E)) | (k14_isocat_2(A, B, C, D, E, F) = k6_isocat_1(A, k11_cat_2(B, C), C, D, E, F, k9_isocat_2(B, C)))))))) <=> (((~l1_cat_1(B)) | (~v2_cat_1(B))) | ![C: $i] : ((~l1_cat_1(C)) | ![D: $i] : ((~m2_cat_1(D, A, k11_cat_2(B, C))) | ![E: $i] : ((~m2_cat_1(E, A, k11_cat_2(B, C))) | ![F: $i] : ((~m2_nattra_1(F, A, k11_cat_2(B, C), D, E)) | (k14_isocat_2(A, B, C, D, E, F) = k6_isocat_1(A, k11_cat_2(B, C), C, D, E, F, k9_isocat_2(B, C)))))) | (~v2_cat_1(C)))))), rewrite((((~l1_cat_1(B)) | (~v2_cat_1(B))) | ![C: $i] : ((~l1_cat_1(C)) | ![D: $i] : ((~m2_cat_1(D, A, k11_cat_2(B, C))) | ![E: $i] : ((~m2_cat_1(E, A, k11_cat_2(B, C))) | ![F: $i] : ((~m2_nattra_1(F, A, k11_cat_2(B, C), D, E)) | (k14_isocat_2(A, B, C, D, E, F) = k6_isocat_1(A, k11_cat_2(B, C), C, D, E, F, k9_isocat_2(B, C)))))) | (~v2_cat_1(C)))) <=> ((~l1_cat_1(B)) | (~v2_cat_1(B)) | ![C: $i] : ((~l1_cat_1(C)) | ![D: $i] : ((~m2_cat_1(D, A, k11_cat_2(B, C))) | ![E: $i] : ((~m2_cat_1(E, A, k11_cat_2(B, C))) | ![F: $i] : ((~m2_nattra_1(F, A, k11_cat_2(B, C), D, E)) | (k14_isocat_2(A, B, C, D, E, F) = k6_isocat_1(A, k11_cat_2(B, C), C, D, E, F, k9_isocat_2(B, C)))))) | (~v2_cat_1(C))))), (((~(v2_cat_1(B) & l1_cat_1(B))) | ![C: $i] : ((~(v2_cat_1(C) & l1_cat_1(C))) | ![D: $i] : ((~m2_cat_1(D, A, k11_cat_2(B, C))) | ![E: $i] : ((~m2_cat_1(E, A, k11_cat_2(B, C))) | ![F: $i] : ((~m2_nattra_1(F, A, k11_cat_2(B, C), D, E)) | (k14_isocat_2(A, B, C, D, E, F) = k6_isocat_1(A, k11_cat_2(B, C), C, D, E, F, k9_isocat_2(B, C)))))))) <=> ((~l1_cat_1(B)) | (~v2_cat_1(B)) | ![C: $i] : ((~l1_cat_1(C)) | ![D: $i] : ((~m2_cat_1(D, A, k11_cat_2(B, C))) | ![E: $i] : ((~m2_cat_1(E, A, k11_cat_2(B, C))) | ![F: $i] : ((~m2_nattra_1(F, A, k11_cat_2(B, C), D, E)) | (k14_isocat_2(A, B, C, D, E, F) = k6_isocat_1(A, k11_cat_2(B, C), C, D, E, F, k9_isocat_2(B, C)))))) | (~v2_cat_1(C))))))), (![B: $i] : ((~(v2_cat_1(B) & l1_cat_1(B))) | ![C: $i] : ((~(v2_cat_1(C) & l1_cat_1(C))) | ![D: $i] : ((~m2_cat_1(D, A, k11_cat_2(B, C))) | ![E: $i] : ((~m2_cat_1(E, A, k11_cat_2(B, C))) | ![F: $i] : ((~m2_nattra_1(F, A, k11_cat_2(B, C), D, E)) | (k14_isocat_2(A, B, C, D, E, F) = k6_isocat_1(A, k11_cat_2(B, C), C, D, E, F, k9_isocat_2(B, C)))))))) <=> ![B: $i] : ((~l1_cat_1(B)) | (~v2_cat_1(B)) | ![C: $i] : ((~l1_cat_1(C)) | ![D: $i] : ((~m2_cat_1(D, A, k11_cat_2(B, C))) | ![E: $i] : ((~m2_cat_1(E, A, k11_cat_2(B, C))) | ![F: $i] : ((~m2_nattra_1(F, A, k11_cat_2(B, C), D, E)) | (k14_isocat_2(A, B, C, D, E, F) = k6_isocat_1(A, k11_cat_2(B, C), C, D, E, F, k9_isocat_2(B, C)))))) | (~v2_cat_1(C)))))), (((~(v2_cat_1(A) & l1_cat_1(A))) | ![B: $i] : ((~(v2_cat_1(B) & l1_cat_1(B))) | ![C: $i] : ((~(v2_cat_1(C) & l1_cat_1(C))) | ![D: $i] : ((~m2_cat_1(D, A, k11_cat_2(B, C))) | ![E: $i] : ((~m2_cat_1(E, A, k11_cat_2(B, C))) | ![F: $i] : ((~m2_nattra_1(F, A, k11_cat_2(B, C), D, E)) | (k14_isocat_2(A, B, C, D, E, F) = k6_isocat_1(A, k11_cat_2(B, C), C, D, E, F, k9_isocat_2(B, C))))))))) <=> (((~l1_cat_1(A)) | (~v2_cat_1(A))) | ![B: $i] : ((~l1_cat_1(B)) | (~v2_cat_1(B)) | ![C: $i] : ((~l1_cat_1(C)) | ![D: $i] : ((~m2_cat_1(D, A, k11_cat_2(B, C))) | ![E: $i] : ((~m2_cat_1(E, A, k11_cat_2(B, C))) | ![F: $i] : ((~m2_nattra_1(F, A, k11_cat_2(B, C), D, E)) | (k14_isocat_2(A, B, C, D, E, F) = k6_isocat_1(A, k11_cat_2(B, C), C, D, E, F, k9_isocat_2(B, C)))))) | (~v2_cat_1(C))))))), rewrite((((~l1_cat_1(A)) | (~v2_cat_1(A))) | ![B: $i] : ((~l1_cat_1(B)) | (~v2_cat_1(B)) | ![C: $i] : ((~l1_cat_1(C)) | ![D: $i] : ((~m2_cat_1(D, A, k11_cat_2(B, C))) | ![E: $i] : ((~m2_cat_1(E, A, k11_cat_2(B, C))) | ![F: $i] : ((~m2_nattra_1(F, A, k11_cat_2(B, C), D, E)) | (k14_isocat_2(A, B, C, D, E, F) = k6_isocat_1(A, k11_cat_2(B, C), C, D, E, F, k9_isocat_2(B, C)))))) | (~v2_cat_1(C))))) <=> ((~l1_cat_1(A)) | (~v2_cat_1(A)) | ![B: $i] : ((~l1_cat_1(B)) | (~v2_cat_1(B)) | ![C: $i] : ((~l1_cat_1(C)) | ![D: $i] : ((~m2_cat_1(D, A, k11_cat_2(B, C))) | ![E: $i] : ((~m2_cat_1(E, A, k11_cat_2(B, C))) | ![F: $i] : ((~m2_nattra_1(F, A, k11_cat_2(B, C), D, E)) | (k14_isocat_2(A, B, C, D, E, F) = k6_isocat_1(A, k11_cat_2(B, C), C, D, E, F, k9_isocat_2(B, C)))))) | (~v2_cat_1(C)))))), (((~(v2_cat_1(A) & l1_cat_1(A))) | ![B: $i] : ((~(v2_cat_1(B) & l1_cat_1(B))) | ![C: $i] : ((~(v2_cat_1(C) & l1_cat_1(C))) | ![D: $i] : ((~m2_cat_1(D, A, k11_cat_2(B, C))) | ![E: $i] : ((~m2_cat_1(E, A, k11_cat_2(B, C))) | ![F: $i] : ((~m2_nattra_1(F, A, k11_cat_2(B, C), D, E)) | (k14_isocat_2(A, B, C, D, E, F) = k6_isocat_1(A, k11_cat_2(B, C), C, D, E, F, k9_isocat_2(B, C))))))))) <=> ((~l1_cat_1(A)) | (~v2_cat_1(A)) | ![B: $i] : ((~l1_cat_1(B)) | (~v2_cat_1(B)) | ![C: $i] : ((~l1_cat_1(C)) | ![D: $i] : ((~m2_cat_1(D, A, k11_cat_2(B, C))) | ![E: $i] : ((~m2_cat_1(E, A, k11_cat_2(B, C))) | ![F: $i] : ((~m2_nattra_1(F, A, k11_cat_2(B, C), D, E)) | (k14_isocat_2(A, B, C, D, E, F) = k6_isocat_1(A, k11_cat_2(B, C), C, D, E, F, k9_isocat_2(B, C)))))) | (~v2_cat_1(C)))))))),
% 18.85/19.01 inference(bind,[status(th)],[])).
% 18.85/19.01 tff(319,plain,
% 18.85/19.01 (![A: $i] : ((~(v2_cat_1(A) & l1_cat_1(A))) | ![B: $i] : ((~(v2_cat_1(B) & l1_cat_1(B))) | ![C: $i] : ((~(v2_cat_1(C) & l1_cat_1(C))) | ![D: $i] : ((~m2_cat_1(D, A, k11_cat_2(B, C))) | ![E: $i] : ((~m2_cat_1(E, A, k11_cat_2(B, C))) | ![F: $i] : ((~m2_nattra_1(F, A, k11_cat_2(B, C), D, E)) | (k14_isocat_2(A, B, C, D, E, F) = k6_isocat_1(A, k11_cat_2(B, C), C, D, E, F, k9_isocat_2(B, C))))))))) <=> ![A: $i] : ((~l1_cat_1(A)) | (~v2_cat_1(A)) | ![B: $i] : ((~l1_cat_1(B)) | (~v2_cat_1(B)) | ![C: $i] : ((~l1_cat_1(C)) | ![D: $i] : ((~m2_cat_1(D, A, k11_cat_2(B, C))) | ![E: $i] : ((~m2_cat_1(E, A, k11_cat_2(B, C))) | ![F: $i] : ((~m2_nattra_1(F, A, k11_cat_2(B, C), D, E)) | (k14_isocat_2(A, B, C, D, E, F) = k6_isocat_1(A, k11_cat_2(B, C), C, D, E, F, k9_isocat_2(B, C)))))) | (~v2_cat_1(C)))))),
% 18.85/19.01 inference(quant_intro,[status(thm)],[318])).
% 18.85/19.01 tff(320,plain,
% 18.85/19.01 (![A: $i] : ((~(v2_cat_1(A) & l1_cat_1(A))) | ![B: $i] : ((~(v2_cat_1(B) & l1_cat_1(B))) | ![C: $i] : ((~(v2_cat_1(C) & l1_cat_1(C))) | ![D: $i] : ((~m2_cat_1(D, A, k11_cat_2(B, C))) | ![E: $i] : ((~m2_cat_1(E, A, k11_cat_2(B, C))) | ![F: $i] : ((~m2_nattra_1(F, A, k11_cat_2(B, C), D, E)) | (k14_isocat_2(A, B, C, D, E, F) = k6_isocat_1(A, k11_cat_2(B, C), C, D, E, F, k9_isocat_2(B, C))))))))) <=> ![A: $i] : ((~(v2_cat_1(A) & l1_cat_1(A))) | ![B: $i] : ((~(v2_cat_1(B) & l1_cat_1(B))) | ![C: $i] : ((~(v2_cat_1(C) & l1_cat_1(C))) | ![D: $i] : ((~m2_cat_1(D, A, k11_cat_2(B, C))) | ![E: $i] : ((~m2_cat_1(E, A, k11_cat_2(B, C))) | ![F: $i] : ((~m2_nattra_1(F, A, k11_cat_2(B, C), D, E)) | (k14_isocat_2(A, B, C, D, E, F) = k6_isocat_1(A, k11_cat_2(B, C), C, D, E, F, k9_isocat_2(B, C)))))))))),
% 18.85/19.01 inference(rewrite,[status(thm)],[])).
% 18.85/19.01 tff(321,plain,
% 18.85/19.01 (^[A: $i] : trans(monotonicity(quant_intro(proof_bind(^[B: $i] : trans(monotonicity(quant_intro(proof_bind(^[C: $i] : trans(monotonicity(quant_intro(proof_bind(^[D: $i] : trans(monotonicity(quant_intro(proof_bind(^[E: $i] : trans(monotonicity(quant_intro(proof_bind(^[F: $i] : rewrite((m2_nattra_1(F, A, k11_cat_2(B, C), D, E) => (k14_isocat_2(A, B, C, D, E, F) = k6_isocat_1(A, k11_cat_2(B, C), C, D, E, F, k9_isocat_2(B, C)))) <=> ((~m2_nattra_1(F, A, k11_cat_2(B, C), D, E)) | (k14_isocat_2(A, B, C, D, E, F) = k6_isocat_1(A, k11_cat_2(B, C), C, D, E, F, k9_isocat_2(B, C)))))), (![F: $i] : (m2_nattra_1(F, A, k11_cat_2(B, C), D, E) => (k14_isocat_2(A, B, C, D, E, F) = k6_isocat_1(A, k11_cat_2(B, C), C, D, E, F, k9_isocat_2(B, C)))) <=> ![F: $i] : ((~m2_nattra_1(F, A, k11_cat_2(B, C), D, E)) | (k14_isocat_2(A, B, C, D, E, F) = k6_isocat_1(A, k11_cat_2(B, C), C, D, E, F, k9_isocat_2(B, C)))))), ((m2_cat_1(E, A, k11_cat_2(B, C)) => ![F: $i] : (m2_nattra_1(F, A, k11_cat_2(B, C), D, E) => (k14_isocat_2(A, B, C, D, E, F) = k6_isocat_1(A, k11_cat_2(B, C), C, D, E, F, k9_isocat_2(B, C))))) <=> (m2_cat_1(E, A, k11_cat_2(B, C)) => ![F: $i] : ((~m2_nattra_1(F, A, k11_cat_2(B, C), D, E)) | (k14_isocat_2(A, B, C, D, E, F) = k6_isocat_1(A, k11_cat_2(B, C), C, D, E, F, k9_isocat_2(B, C))))))), rewrite((m2_cat_1(E, A, k11_cat_2(B, C)) => ![F: $i] : ((~m2_nattra_1(F, A, k11_cat_2(B, C), D, E)) | (k14_isocat_2(A, B, C, D, E, F) = k6_isocat_1(A, k11_cat_2(B, C), C, D, E, F, k9_isocat_2(B, C))))) <=> ((~m2_cat_1(E, A, k11_cat_2(B, C))) | ![F: $i] : ((~m2_nattra_1(F, A, k11_cat_2(B, C), D, E)) | (k14_isocat_2(A, B, C, D, E, F) = k6_isocat_1(A, k11_cat_2(B, C), C, D, E, F, k9_isocat_2(B, C)))))), ((m2_cat_1(E, A, k11_cat_2(B, C)) => ![F: $i] : (m2_nattra_1(F, A, k11_cat_2(B, C), D, E) => (k14_isocat_2(A, B, C, D, E, F) = k6_isocat_1(A, k11_cat_2(B, C), C, D, E, F, k9_isocat_2(B, C))))) <=> ((~m2_cat_1(E, A, k11_cat_2(B, C))) | ![F: $i] : ((~m2_nattra_1(F, A, k11_cat_2(B, C), D, E)) | (k14_isocat_2(A, B, C, D, E, F) = k6_isocat_1(A, k11_cat_2(B, C), C, D, E, F, k9_isocat_2(B, C)))))))), (![E: $i] : (m2_cat_1(E, A, k11_cat_2(B, C)) => ![F: $i] : (m2_nattra_1(F, A, k11_cat_2(B, C), D, E) => (k14_isocat_2(A, B, C, D, E, F) = k6_isocat_1(A, k11_cat_2(B, C), C, D, E, F, k9_isocat_2(B, C))))) <=> ![E: $i] : ((~m2_cat_1(E, A, k11_cat_2(B, C))) | ![F: $i] : ((~m2_nattra_1(F, A, k11_cat_2(B, C), D, E)) | (k14_isocat_2(A, B, C, D, E, F) = k6_isocat_1(A, k11_cat_2(B, C), C, D, E, F, k9_isocat_2(B, C))))))), ((m2_cat_1(D, A, k11_cat_2(B, C)) => ![E: $i] : (m2_cat_1(E, A, k11_cat_2(B, C)) => ![F: $i] : (m2_nattra_1(F, A, k11_cat_2(B, C), D, E) => (k14_isocat_2(A, B, C, D, E, F) = k6_isocat_1(A, k11_cat_2(B, C), C, D, E, F, k9_isocat_2(B, C)))))) <=> (m2_cat_1(D, A, k11_cat_2(B, C)) => ![E: $i] : ((~m2_cat_1(E, A, k11_cat_2(B, C))) | ![F: $i] : ((~m2_nattra_1(F, A, k11_cat_2(B, C), D, E)) | (k14_isocat_2(A, B, C, D, E, F) = k6_isocat_1(A, k11_cat_2(B, C), C, D, E, F, k9_isocat_2(B, C)))))))), rewrite((m2_cat_1(D, A, k11_cat_2(B, C)) => ![E: $i] : ((~m2_cat_1(E, A, k11_cat_2(B, C))) | ![F: $i] : ((~m2_nattra_1(F, A, k11_cat_2(B, C), D, E)) | (k14_isocat_2(A, B, C, D, E, F) = k6_isocat_1(A, k11_cat_2(B, C), C, D, E, F, k9_isocat_2(B, C)))))) <=> ((~m2_cat_1(D, A, k11_cat_2(B, C))) | ![E: $i] : ((~m2_cat_1(E, A, k11_cat_2(B, C))) | ![F: $i] : ((~m2_nattra_1(F, A, k11_cat_2(B, C), D, E)) | (k14_isocat_2(A, B, C, D, E, F) = k6_isocat_1(A, k11_cat_2(B, C), C, D, E, F, k9_isocat_2(B, C))))))), ((m2_cat_1(D, A, k11_cat_2(B, C)) => ![E: $i] : (m2_cat_1(E, A, k11_cat_2(B, C)) => ![F: $i] : (m2_nattra_1(F, A, k11_cat_2(B, C), D, E) => (k14_isocat_2(A, B, C, D, E, F) = k6_isocat_1(A, k11_cat_2(B, C), C, D, E, F, k9_isocat_2(B, C)))))) <=> ((~m2_cat_1(D, A, k11_cat_2(B, C))) | ![E: $i] : ((~m2_cat_1(E, A, k11_cat_2(B, C))) | ![F: $i] : ((~m2_nattra_1(F, A, k11_cat_2(B, C), D, E)) | (k14_isocat_2(A, B, C, D, E, F) = k6_isocat_1(A, k11_cat_2(B, C), C, D, E, F, k9_isocat_2(B, C))))))))), (![D: $i] : (m2_cat_1(D, A, k11_cat_2(B, C)) => ![E: $i] : (m2_cat_1(E, A, k11_cat_2(B, C)) => ![F: $i] : (m2_nattra_1(F, A, k11_cat_2(B, C), D, E) => (k14_isocat_2(A, B, C, D, E, F) = k6_isocat_1(A, k11_cat_2(B, C), C, D, E, F, k9_isocat_2(B, C)))))) <=> ![D: $i] : ((~m2_cat_1(D, A, k11_cat_2(B, C))) | ![E: $i] : ((~m2_cat_1(E, A, k11_cat_2(B, C))) | ![F: $i] : ((~m2_nattra_1(F, A, k11_cat_2(B, C), D, E)) | (k14_isocat_2(A, B, C, D, E, F) = k6_isocat_1(A, k11_cat_2(B, C), C, D, E, F, k9_isocat_2(B, C)))))))), (((v2_cat_1(C) & l1_cat_1(C)) => ![D: $i] : (m2_cat_1(D, A, k11_cat_2(B, C)) => ![E: $i] : (m2_cat_1(E, A, k11_cat_2(B, C)) => ![F: $i] : (m2_nattra_1(F, A, k11_cat_2(B, C), D, E) => (k14_isocat_2(A, B, C, D, E, F) = k6_isocat_1(A, k11_cat_2(B, C), C, D, E, F, k9_isocat_2(B, C))))))) <=> ((v2_cat_1(C) & l1_cat_1(C)) => ![D: $i] : ((~m2_cat_1(D, A, k11_cat_2(B, C))) | ![E: $i] : ((~m2_cat_1(E, A, k11_cat_2(B, C))) | ![F: $i] : ((~m2_nattra_1(F, A, k11_cat_2(B, C), D, E)) | (k14_isocat_2(A, B, C, D, E, F) = k6_isocat_1(A, k11_cat_2(B, C), C, D, E, F, k9_isocat_2(B, C))))))))), rewrite(((v2_cat_1(C) & l1_cat_1(C)) => ![D: $i] : ((~m2_cat_1(D, A, k11_cat_2(B, C))) | ![E: $i] : ((~m2_cat_1(E, A, k11_cat_2(B, C))) | ![F: $i] : ((~m2_nattra_1(F, A, k11_cat_2(B, C), D, E)) | (k14_isocat_2(A, B, C, D, E, F) = k6_isocat_1(A, k11_cat_2(B, C), C, D, E, F, k9_isocat_2(B, C))))))) <=> ((~(v2_cat_1(C) & l1_cat_1(C))) | ![D: $i] : ((~m2_cat_1(D, A, k11_cat_2(B, C))) | ![E: $i] : ((~m2_cat_1(E, A, k11_cat_2(B, C))) | ![F: $i] : ((~m2_nattra_1(F, A, k11_cat_2(B, C), D, E)) | (k14_isocat_2(A, B, C, D, E, F) = k6_isocat_1(A, k11_cat_2(B, C), C, D, E, F, k9_isocat_2(B, C)))))))), (((v2_cat_1(C) & l1_cat_1(C)) => ![D: $i] : (m2_cat_1(D, A, k11_cat_2(B, C)) => ![E: $i] : (m2_cat_1(E, A, k11_cat_2(B, C)) => ![F: $i] : (m2_nattra_1(F, A, k11_cat_2(B, C), D, E) => (k14_isocat_2(A, B, C, D, E, F) = k6_isocat_1(A, k11_cat_2(B, C), C, D, E, F, k9_isocat_2(B, C))))))) <=> ((~(v2_cat_1(C) & l1_cat_1(C))) | ![D: $i] : ((~m2_cat_1(D, A, k11_cat_2(B, C))) | ![E: $i] : ((~m2_cat_1(E, A, k11_cat_2(B, C))) | ![F: $i] : ((~m2_nattra_1(F, A, k11_cat_2(B, C), D, E)) | (k14_isocat_2(A, B, C, D, E, F) = k6_isocat_1(A, k11_cat_2(B, C), C, D, E, F, k9_isocat_2(B, C)))))))))), (![C: $i] : ((v2_cat_1(C) & l1_cat_1(C)) => ![D: $i] : (m2_cat_1(D, A, k11_cat_2(B, C)) => ![E: $i] : (m2_cat_1(E, A, k11_cat_2(B, C)) => ![F: $i] : (m2_nattra_1(F, A, k11_cat_2(B, C), D, E) => (k14_isocat_2(A, B, C, D, E, F) = k6_isocat_1(A, k11_cat_2(B, C), C, D, E, F, k9_isocat_2(B, C))))))) <=> ![C: $i] : ((~(v2_cat_1(C) & l1_cat_1(C))) | ![D: $i] : ((~m2_cat_1(D, A, k11_cat_2(B, C))) | ![E: $i] : ((~m2_cat_1(E, A, k11_cat_2(B, C))) | ![F: $i] : ((~m2_nattra_1(F, A, k11_cat_2(B, C), D, E)) | (k14_isocat_2(A, B, C, D, E, F) = k6_isocat_1(A, k11_cat_2(B, C), C, D, E, F, k9_isocat_2(B, C))))))))), (((v2_cat_1(B) & l1_cat_1(B)) => ![C: $i] : ((v2_cat_1(C) & l1_cat_1(C)) => ![D: $i] : (m2_cat_1(D, A, k11_cat_2(B, C)) => ![E: $i] : (m2_cat_1(E, A, k11_cat_2(B, C)) => ![F: $i] : (m2_nattra_1(F, A, k11_cat_2(B, C), D, E) => (k14_isocat_2(A, B, C, D, E, F) = k6_isocat_1(A, k11_cat_2(B, C), C, D, E, F, k9_isocat_2(B, C)))))))) <=> ((v2_cat_1(B) & l1_cat_1(B)) => ![C: $i] : ((~(v2_cat_1(C) & l1_cat_1(C))) | ![D: $i] : ((~m2_cat_1(D, A, k11_cat_2(B, C))) | ![E: $i] : ((~m2_cat_1(E, A, k11_cat_2(B, C))) | ![F: $i] : ((~m2_nattra_1(F, A, k11_cat_2(B, C), D, E)) | (k14_isocat_2(A, B, C, D, E, F) = k6_isocat_1(A, k11_cat_2(B, C), C, D, E, F, k9_isocat_2(B, C)))))))))), rewrite(((v2_cat_1(B) & l1_cat_1(B)) => ![C: $i] : ((~(v2_cat_1(C) & l1_cat_1(C))) | ![D: $i] : ((~m2_cat_1(D, A, k11_cat_2(B, C))) | ![E: $i] : ((~m2_cat_1(E, A, k11_cat_2(B, C))) | ![F: $i] : ((~m2_nattra_1(F, A, k11_cat_2(B, C), D, E)) | (k14_isocat_2(A, B, C, D, E, F) = k6_isocat_1(A, k11_cat_2(B, C), C, D, E, F, k9_isocat_2(B, C)))))))) <=> ((~(v2_cat_1(B) & l1_cat_1(B))) | ![C: $i] : ((~(v2_cat_1(C) & l1_cat_1(C))) | ![D: $i] : ((~m2_cat_1(D, A, k11_cat_2(B, C))) | ![E: $i] : ((~m2_cat_1(E, A, k11_cat_2(B, C))) | ![F: $i] : ((~m2_nattra_1(F, A, k11_cat_2(B, C), D, E)) | (k14_isocat_2(A, B, C, D, E, F) = k6_isocat_1(A, k11_cat_2(B, C), C, D, E, F, k9_isocat_2(B, C))))))))), (((v2_cat_1(B) & l1_cat_1(B)) => ![C: $i] : ((v2_cat_1(C) & l1_cat_1(C)) => ![D: $i] : (m2_cat_1(D, A, k11_cat_2(B, C)) => ![E: $i] : (m2_cat_1(E, A, k11_cat_2(B, C)) => ![F: $i] : (m2_nattra_1(F, A, k11_cat_2(B, C), D, E) => (k14_isocat_2(A, B, C, D, E, F) = k6_isocat_1(A, k11_cat_2(B, C), C, D, E, F, k9_isocat_2(B, C)))))))) <=> ((~(v2_cat_1(B) & l1_cat_1(B))) | ![C: $i] : ((~(v2_cat_1(C) & l1_cat_1(C))) | ![D: $i] : ((~m2_cat_1(D, A, k11_cat_2(B, C))) | ![E: $i] : ((~m2_cat_1(E, A, k11_cat_2(B, C))) | ![F: $i] : ((~m2_nattra_1(F, A, k11_cat_2(B, C), D, E)) | (k14_isocat_2(A, B, C, D, E, F) = k6_isocat_1(A, k11_cat_2(B, C), C, D, E, F, k9_isocat_2(B, C))))))))))), (![B: $i] : ((v2_cat_1(B) & l1_cat_1(B)) => ![C: $i] : ((v2_cat_1(C) & l1_cat_1(C)) => ![D: $i] : (m2_cat_1(D, A, k11_cat_2(B, C)) => ![E: $i] : (m2_cat_1(E, A, k11_cat_2(B, C)) => ![F: $i] : (m2_nattra_1(F, A, k11_cat_2(B, C), D, E) => (k14_isocat_2(A, B, C, D, E, F) = k6_isocat_1(A, k11_cat_2(B, C), C, D, E, F, k9_isocat_2(B, C)))))))) <=> ![B: $i] : ((~(v2_cat_1(B) & l1_cat_1(B))) | ![C: $i] : ((~(v2_cat_1(C) & l1_cat_1(C))) | ![D: $i] : ((~m2_cat_1(D, A, k11_cat_2(B, C))) | ![E: $i] : ((~m2_cat_1(E, A, k11_cat_2(B, C))) | ![F: $i] : ((~m2_nattra_1(F, A, k11_cat_2(B, C), D, E)) | (k14_isocat_2(A, B, C, D, E, F) = k6_isocat_1(A, k11_cat_2(B, C), C, D, E, F, k9_isocat_2(B, C)))))))))), (((v2_cat_1(A) & l1_cat_1(A)) => ![B: $i] : ((v2_cat_1(B) & l1_cat_1(B)) => ![C: $i] : ((v2_cat_1(C) & l1_cat_1(C)) => ![D: $i] : (m2_cat_1(D, A, k11_cat_2(B, C)) => ![E: $i] : (m2_cat_1(E, A, k11_cat_2(B, C)) => ![F: $i] : (m2_nattra_1(F, A, k11_cat_2(B, C), D, E) => (k14_isocat_2(A, B, C, D, E, F) = k6_isocat_1(A, k11_cat_2(B, C), C, D, E, F, k9_isocat_2(B, C))))))))) <=> ((v2_cat_1(A) & l1_cat_1(A)) => ![B: $i] : ((~(v2_cat_1(B) & l1_cat_1(B))) | ![C: $i] : ((~(v2_cat_1(C) & l1_cat_1(C))) | ![D: $i] : ((~m2_cat_1(D, A, k11_cat_2(B, C))) | ![E: $i] : ((~m2_cat_1(E, A, k11_cat_2(B, C))) | ![F: $i] : ((~m2_nattra_1(F, A, k11_cat_2(B, C), D, E)) | (k14_isocat_2(A, B, C, D, E, F) = k6_isocat_1(A, k11_cat_2(B, C), C, D, E, F, k9_isocat_2(B, C))))))))))), rewrite(((v2_cat_1(A) & l1_cat_1(A)) => ![B: $i] : ((~(v2_cat_1(B) & l1_cat_1(B))) | ![C: $i] : ((~(v2_cat_1(C) & l1_cat_1(C))) | ![D: $i] : ((~m2_cat_1(D, A, k11_cat_2(B, C))) | ![E: $i] : ((~m2_cat_1(E, A, k11_cat_2(B, C))) | ![F: $i] : ((~m2_nattra_1(F, A, k11_cat_2(B, C), D, E)) | (k14_isocat_2(A, B, C, D, E, F) = k6_isocat_1(A, k11_cat_2(B, C), C, D, E, F, k9_isocat_2(B, C))))))))) <=> ((~(v2_cat_1(A) & l1_cat_1(A))) | ![B: $i] : ((~(v2_cat_1(B) & l1_cat_1(B))) | ![C: $i] : ((~(v2_cat_1(C) & l1_cat_1(C))) | ![D: $i] : ((~m2_cat_1(D, A, k11_cat_2(B, C))) | ![E: $i] : ((~m2_cat_1(E, A, k11_cat_2(B, C))) | ![F: $i] : ((~m2_nattra_1(F, A, k11_cat_2(B, C), D, E)) | (k14_isocat_2(A, B, C, D, E, F) = k6_isocat_1(A, k11_cat_2(B, C), C, D, E, F, k9_isocat_2(B, C)))))))))), (((v2_cat_1(A) & l1_cat_1(A)) => ![B: $i] : ((v2_cat_1(B) & l1_cat_1(B)) => ![C: $i] : ((v2_cat_1(C) & l1_cat_1(C)) => ![D: $i] : (m2_cat_1(D, A, k11_cat_2(B, C)) => ![E: $i] : (m2_cat_1(E, A, k11_cat_2(B, C)) => ![F: $i] : (m2_nattra_1(F, A, k11_cat_2(B, C), D, E) => (k14_isocat_2(A, B, C, D, E, F) = k6_isocat_1(A, k11_cat_2(B, C), C, D, E, F, k9_isocat_2(B, C))))))))) <=> ((~(v2_cat_1(A) & l1_cat_1(A))) | ![B: $i] : ((~(v2_cat_1(B) & l1_cat_1(B))) | ![C: $i] : ((~(v2_cat_1(C) & l1_cat_1(C))) | ![D: $i] : ((~m2_cat_1(D, A, k11_cat_2(B, C))) | ![E: $i] : ((~m2_cat_1(E, A, k11_cat_2(B, C))) | ![F: $i] : ((~m2_nattra_1(F, A, k11_cat_2(B, C), D, E)) | (k14_isocat_2(A, B, C, D, E, F) = k6_isocat_1(A, k11_cat_2(B, C), C, D, E, F, k9_isocat_2(B, C)))))))))))),
% 18.85/19.01 inference(bind,[status(th)],[])).
% 18.85/19.01 tff(322,plain,
% 18.85/19.01 (![A: $i] : ((v2_cat_1(A) & l1_cat_1(A)) => ![B: $i] : ((v2_cat_1(B) & l1_cat_1(B)) => ![C: $i] : ((v2_cat_1(C) & l1_cat_1(C)) => ![D: $i] : (m2_cat_1(D, A, k11_cat_2(B, C)) => ![E: $i] : (m2_cat_1(E, A, k11_cat_2(B, C)) => ![F: $i] : (m2_nattra_1(F, A, k11_cat_2(B, C), D, E) => (k14_isocat_2(A, B, C, D, E, F) = k6_isocat_1(A, k11_cat_2(B, C), C, D, E, F, k9_isocat_2(B, C))))))))) <=> ![A: $i] : ((~(v2_cat_1(A) & l1_cat_1(A))) | ![B: $i] : ((~(v2_cat_1(B) & l1_cat_1(B))) | ![C: $i] : ((~(v2_cat_1(C) & l1_cat_1(C))) | ![D: $i] : ((~m2_cat_1(D, A, k11_cat_2(B, C))) | ![E: $i] : ((~m2_cat_1(E, A, k11_cat_2(B, C))) | ![F: $i] : ((~m2_nattra_1(F, A, k11_cat_2(B, C), D, E)) | (k14_isocat_2(A, B, C, D, E, F) = k6_isocat_1(A, k11_cat_2(B, C), C, D, E, F, k9_isocat_2(B, C)))))))))),
% 18.85/19.01 inference(quant_intro,[status(thm)],[321])).
% 18.85/19.01 tff(323,axiom,(![A: $i] : ((v2_cat_1(A) & l1_cat_1(A)) => ![B: $i] : ((v2_cat_1(B) & l1_cat_1(B)) => ![C: $i] : ((v2_cat_1(C) & l1_cat_1(C)) => ![D: $i] : (m2_cat_1(D, A, k11_cat_2(B, C)) => ![E: $i] : (m2_cat_1(E, A, k11_cat_2(B, C)) => ![F: $i] : (m2_nattra_1(F, A, k11_cat_2(B, C), D, E) => (k14_isocat_2(A, B, C, D, E, F) = k6_isocat_1(A, k11_cat_2(B, C), C, D, E, F, k9_isocat_2(B, C)))))))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','d10_isocat_2')).
% 18.85/19.01 tff(324,plain,
% 18.85/19.01 (![A: $i] : ((~(v2_cat_1(A) & l1_cat_1(A))) | ![B: $i] : ((~(v2_cat_1(B) & l1_cat_1(B))) | ![C: $i] : ((~(v2_cat_1(C) & l1_cat_1(C))) | ![D: $i] : ((~m2_cat_1(D, A, k11_cat_2(B, C))) | ![E: $i] : ((~m2_cat_1(E, A, k11_cat_2(B, C))) | ![F: $i] : ((~m2_nattra_1(F, A, k11_cat_2(B, C), D, E)) | (k14_isocat_2(A, B, C, D, E, F) = k6_isocat_1(A, k11_cat_2(B, C), C, D, E, F, k9_isocat_2(B, C)))))))))),
% 18.85/19.01 inference(modus_ponens,[status(thm)],[323, 322])).
% 18.85/19.01 tff(325,plain,
% 18.85/19.01 (![A: $i] : ((~(v2_cat_1(A) & l1_cat_1(A))) | ![B: $i] : ((~(v2_cat_1(B) & l1_cat_1(B))) | ![C: $i] : ((~(v2_cat_1(C) & l1_cat_1(C))) | ![D: $i] : ((~m2_cat_1(D, A, k11_cat_2(B, C))) | ![E: $i] : ((~m2_cat_1(E, A, k11_cat_2(B, C))) | ![F: $i] : ((~m2_nattra_1(F, A, k11_cat_2(B, C), D, E)) | (k14_isocat_2(A, B, C, D, E, F) = k6_isocat_1(A, k11_cat_2(B, C), C, D, E, F, k9_isocat_2(B, C)))))))))),
% 18.85/19.01 inference(modus_ponens,[status(thm)],[324, 320])).
% 18.85/19.01 tff(326,plain,(
% 18.85/19.01 ![A: $i] : ((~(v2_cat_1(A) & l1_cat_1(A))) | ![B: $i] : ((~(v2_cat_1(B) & l1_cat_1(B))) | ![C: $i] : ((~(v2_cat_1(C) & l1_cat_1(C))) | ![D: $i] : ((~m2_cat_1(D, A, k11_cat_2(B, C))) | ![E: $i] : ((~m2_cat_1(E, A, k11_cat_2(B, C))) | ![F: $i] : ((~m2_nattra_1(F, A, k11_cat_2(B, C), D, E)) | (k14_isocat_2(A, B, C, D, E, F) = k6_isocat_1(A, k11_cat_2(B, C), C, D, E, F, k9_isocat_2(B, C)))))))))),
% 18.85/19.01 inference(skolemize,[status(sab)],[325])).
% 18.85/19.01 tff(327,plain,
% 18.85/19.01 (![A: $i] : ((~l1_cat_1(A)) | (~v2_cat_1(A)) | ![B: $i] : ((~l1_cat_1(B)) | (~v2_cat_1(B)) | ![C: $i] : ((~l1_cat_1(C)) | ![D: $i] : ((~m2_cat_1(D, A, k11_cat_2(B, C))) | ![E: $i] : ((~m2_cat_1(E, A, k11_cat_2(B, C))) | ![F: $i] : ((~m2_nattra_1(F, A, k11_cat_2(B, C), D, E)) | (k14_isocat_2(A, B, C, D, E, F) = k6_isocat_1(A, k11_cat_2(B, C), C, D, E, F, k9_isocat_2(B, C)))))) | (~v2_cat_1(C)))))),
% 18.85/19.01 inference(modus_ponens,[status(thm)],[326, 319])).
% 18.85/19.01 tff(328,plain,
% 18.85/19.01 (![A: $i] : ((~l1_cat_1(A)) | (~v2_cat_1(A)) | ![B: $i] : ((~l1_cat_1(B)) | (~v2_cat_1(B)) | ![C: $i] : ((~l1_cat_1(C)) | ![D: $i] : ((~m2_cat_1(D, A, k11_cat_2(B, C))) | ![E: $i] : ((~m2_cat_1(E, A, k11_cat_2(B, C))) | ![F: $i] : ((~m2_nattra_1(F, A, k11_cat_2(B, C), D, E)) | (k14_isocat_2(A, B, C, D, E, F) = k6_isocat_1(A, k11_cat_2(B, C), C, D, E, F, k9_isocat_2(B, C)))))) | (~v2_cat_1(C)))))),
% 18.85/19.01 inference(modus_ponens,[status(thm)],[327, 317])).
% 18.85/19.01 tff(329,plain,
% 18.85/19.01 (![A: $i] : ((~l1_cat_1(A)) | (~v2_cat_1(A)) | ![B: $i] : ((~l1_cat_1(B)) | (~v2_cat_1(B)) | ![C: $i] : ((~l1_cat_1(C)) | (~v2_cat_1(C)) | ![D: $i] : ((~m2_cat_1(D, A, k11_cat_2(B, C))) | ![E: $i] : ((~m2_cat_1(E, A, k11_cat_2(B, C))) | ![F: $i] : ((~m2_nattra_1(F, A, k11_cat_2(B, C), D, E)) | (k14_isocat_2(A, B, C, D, E, F) = k6_isocat_1(A, k11_cat_2(B, C), C, D, E, F, k9_isocat_2(B, C)))))))))),
% 18.85/19.01 inference(modus_ponens,[status(thm)],[328, 312])).
% 18.85/19.01 tff(330,plain,
% 18.85/19.01 (((~![A: $i] : ((~l1_cat_1(A)) | (~v2_cat_1(A)) | ![B: $i] : ((~l1_cat_1(B)) | (~v2_cat_1(B)) | ![C: $i] : ((~l1_cat_1(C)) | (~v2_cat_1(C)) | ![D: $i] : ((~m2_cat_1(D, A, k11_cat_2(B, C))) | ![E: $i] : ((~m2_cat_1(E, A, k11_cat_2(B, C))) | ![F: $i] : ((~m2_nattra_1(F, A, k11_cat_2(B, C), D, E)) | (k14_isocat_2(A, B, C, D, E, F) = k6_isocat_1(A, k11_cat_2(B, C), C, D, E, F, k9_isocat_2(B, C)))))))))) | ((~l1_cat_1(A!0)) | (~v2_cat_1(A!0)) | ![B: $i] : ((~l1_cat_1(B)) | (~v2_cat_1(B)) | ![C: $i] : ((~l1_cat_1(C)) | (~v2_cat_1(C)) | ![D: $i] : ((~m2_cat_1(D, A!0, k11_cat_2(B, C))) | ![E: $i] : ((~m2_cat_1(E, A!0, k11_cat_2(B, C))) | ![F: $i] : ((~m2_nattra_1(F, A!0, k11_cat_2(B, C), D, E)) | (k14_isocat_2(A!0, B, C, D, E, F) = k6_isocat_1(A!0, k11_cat_2(B, C), C, D, E, F, k9_isocat_2(B, C)))))))))) <=> ((~![A: $i] : ((~l1_cat_1(A)) | (~v2_cat_1(A)) | ![B: $i] : ((~l1_cat_1(B)) | (~v2_cat_1(B)) | ![C: $i] : ((~l1_cat_1(C)) | (~v2_cat_1(C)) | ![D: $i] : ((~m2_cat_1(D, A, k11_cat_2(B, C))) | ![E: $i] : ((~m2_cat_1(E, A, k11_cat_2(B, C))) | ![F: $i] : ((~m2_nattra_1(F, A, k11_cat_2(B, C), D, E)) | (k14_isocat_2(A, B, C, D, E, F) = k6_isocat_1(A, k11_cat_2(B, C), C, D, E, F, k9_isocat_2(B, C)))))))))) | (~l1_cat_1(A!0)) | (~v2_cat_1(A!0)) | ![B: $i] : ((~l1_cat_1(B)) | (~v2_cat_1(B)) | ![C: $i] : ((~l1_cat_1(C)) | (~v2_cat_1(C)) | ![D: $i] : ((~m2_cat_1(D, A!0, k11_cat_2(B, C))) | ![E: $i] : ((~m2_cat_1(E, A!0, k11_cat_2(B, C))) | ![F: $i] : ((~m2_nattra_1(F, A!0, k11_cat_2(B, C), D, E)) | (k14_isocat_2(A!0, B, C, D, E, F) = k6_isocat_1(A!0, k11_cat_2(B, C), C, D, E, F, k9_isocat_2(B, C)))))))))),
% 18.85/19.01 inference(rewrite,[status(thm)],[])).
% 18.85/19.01 tff(331,plain,
% 18.85/19.01 ((~![A: $i] : ((~l1_cat_1(A)) | (~v2_cat_1(A)) | ![B: $i] : ((~l1_cat_1(B)) | (~v2_cat_1(B)) | ![C: $i] : ((~l1_cat_1(C)) | (~v2_cat_1(C)) | ![D: $i] : ((~m2_cat_1(D, A, k11_cat_2(B, C))) | ![E: $i] : ((~m2_cat_1(E, A, k11_cat_2(B, C))) | ![F: $i] : ((~m2_nattra_1(F, A, k11_cat_2(B, C), D, E)) | (k14_isocat_2(A, B, C, D, E, F) = k6_isocat_1(A, k11_cat_2(B, C), C, D, E, F, k9_isocat_2(B, C)))))))))) | ((~l1_cat_1(A!0)) | (~v2_cat_1(A!0)) | ![B: $i] : ((~l1_cat_1(B)) | (~v2_cat_1(B)) | ![C: $i] : ((~l1_cat_1(C)) | (~v2_cat_1(C)) | ![D: $i] : ((~m2_cat_1(D, A!0, k11_cat_2(B, C))) | ![E: $i] : ((~m2_cat_1(E, A!0, k11_cat_2(B, C))) | ![F: $i] : ((~m2_nattra_1(F, A!0, k11_cat_2(B, C), D, E)) | (k14_isocat_2(A!0, B, C, D, E, F) = k6_isocat_1(A!0, k11_cat_2(B, C), C, D, E, F, k9_isocat_2(B, C)))))))))),
% 18.85/19.01 inference(quant_inst,[status(thm)],[])).
% 18.85/19.01 tff(332,plain,
% 18.85/19.01 ((~![A: $i] : ((~l1_cat_1(A)) | (~v2_cat_1(A)) | ![B: $i] : ((~l1_cat_1(B)) | (~v2_cat_1(B)) | ![C: $i] : ((~l1_cat_1(C)) | (~v2_cat_1(C)) | ![D: $i] : ((~m2_cat_1(D, A, k11_cat_2(B, C))) | ![E: $i] : ((~m2_cat_1(E, A, k11_cat_2(B, C))) | ![F: $i] : ((~m2_nattra_1(F, A, k11_cat_2(B, C), D, E)) | (k14_isocat_2(A, B, C, D, E, F) = k6_isocat_1(A, k11_cat_2(B, C), C, D, E, F, k9_isocat_2(B, C)))))))))) | (~l1_cat_1(A!0)) | (~v2_cat_1(A!0)) | ![B: $i] : ((~l1_cat_1(B)) | (~v2_cat_1(B)) | ![C: $i] : ((~l1_cat_1(C)) | (~v2_cat_1(C)) | ![D: $i] : ((~m2_cat_1(D, A!0, k11_cat_2(B, C))) | ![E: $i] : ((~m2_cat_1(E, A!0, k11_cat_2(B, C))) | ![F: $i] : ((~m2_nattra_1(F, A!0, k11_cat_2(B, C), D, E)) | (k14_isocat_2(A!0, B, C, D, E, F) = k6_isocat_1(A!0, k11_cat_2(B, C), C, D, E, F, k9_isocat_2(B, C))))))))),
% 18.85/19.01 inference(modus_ponens,[status(thm)],[331, 330])).
% 18.85/19.01 tff(333,plain,
% 18.85/19.01 (![B: $i] : ((~l1_cat_1(B)) | (~v2_cat_1(B)) | ![C: $i] : ((~l1_cat_1(C)) | (~v2_cat_1(C)) | ![D: $i] : ((~m2_cat_1(D, A!0, k11_cat_2(B, C))) | ![E: $i] : ((~m2_cat_1(E, A!0, k11_cat_2(B, C))) | ![F: $i] : ((~m2_nattra_1(F, A!0, k11_cat_2(B, C), D, E)) | (k14_isocat_2(A!0, B, C, D, E, F) = k6_isocat_1(A!0, k11_cat_2(B, C), C, D, E, F, k9_isocat_2(B, C))))))))),
% 18.85/19.01 inference(unit_resolution,[status(thm)],[332, 45, 44, 329])).
% 18.85/19.01 tff(334,plain,
% 18.85/19.01 (((~![B: $i] : ((~l1_cat_1(B)) | (~v2_cat_1(B)) | ![C: $i] : ((~l1_cat_1(C)) | (~v2_cat_1(C)) | ![D: $i] : ((~m2_cat_1(D, A!0, k11_cat_2(B, C))) | ![E: $i] : ((~m2_cat_1(E, A!0, k11_cat_2(B, C))) | ![F: $i] : ((~m2_nattra_1(F, A!0, k11_cat_2(B, C), D, E)) | (k14_isocat_2(A!0, B, C, D, E, F) = k6_isocat_1(A!0, k11_cat_2(B, C), C, D, E, F, k9_isocat_2(B, C))))))))) | ((~l1_cat_1(B!1)) | (~v2_cat_1(B!1)) | ![C: $i] : ((~l1_cat_1(C)) | (~v2_cat_1(C)) | ![D: $i] : ((~m2_cat_1(D, A!0, k11_cat_2(B!1, C))) | ![E: $i] : ((~m2_cat_1(E, A!0, k11_cat_2(B!1, C))) | ![F: $i] : ((~m2_nattra_1(F, A!0, k11_cat_2(B!1, C), D, E)) | (k14_isocat_2(A!0, B!1, C, D, E, F) = k6_isocat_1(A!0, k11_cat_2(B!1, C), C, D, E, F, k9_isocat_2(B!1, C))))))))) <=> ((~![B: $i] : ((~l1_cat_1(B)) | (~v2_cat_1(B)) | ![C: $i] : ((~l1_cat_1(C)) | (~v2_cat_1(C)) | ![D: $i] : ((~m2_cat_1(D, A!0, k11_cat_2(B, C))) | ![E: $i] : ((~m2_cat_1(E, A!0, k11_cat_2(B, C))) | ![F: $i] : ((~m2_nattra_1(F, A!0, k11_cat_2(B, C), D, E)) | (k14_isocat_2(A!0, B, C, D, E, F) = k6_isocat_1(A!0, k11_cat_2(B, C), C, D, E, F, k9_isocat_2(B, C))))))))) | (~l1_cat_1(B!1)) | (~v2_cat_1(B!1)) | ![C: $i] : ((~l1_cat_1(C)) | (~v2_cat_1(C)) | ![D: $i] : ((~m2_cat_1(D, A!0, k11_cat_2(B!1, C))) | ![E: $i] : ((~m2_cat_1(E, A!0, k11_cat_2(B!1, C))) | ![F: $i] : ((~m2_nattra_1(F, A!0, k11_cat_2(B!1, C), D, E)) | (k14_isocat_2(A!0, B!1, C, D, E, F) = k6_isocat_1(A!0, k11_cat_2(B!1, C), C, D, E, F, k9_isocat_2(B!1, C))))))))),
% 18.85/19.01 inference(rewrite,[status(thm)],[])).
% 18.85/19.01 tff(335,plain,
% 18.85/19.01 ((~![B: $i] : ((~l1_cat_1(B)) | (~v2_cat_1(B)) | ![C: $i] : ((~l1_cat_1(C)) | (~v2_cat_1(C)) | ![D: $i] : ((~m2_cat_1(D, A!0, k11_cat_2(B, C))) | ![E: $i] : ((~m2_cat_1(E, A!0, k11_cat_2(B, C))) | ![F: $i] : ((~m2_nattra_1(F, A!0, k11_cat_2(B, C), D, E)) | (k14_isocat_2(A!0, B, C, D, E, F) = k6_isocat_1(A!0, k11_cat_2(B, C), C, D, E, F, k9_isocat_2(B, C))))))))) | ((~l1_cat_1(B!1)) | (~v2_cat_1(B!1)) | ![C: $i] : ((~l1_cat_1(C)) | (~v2_cat_1(C)) | ![D: $i] : ((~m2_cat_1(D, A!0, k11_cat_2(B!1, C))) | ![E: $i] : ((~m2_cat_1(E, A!0, k11_cat_2(B!1, C))) | ![F: $i] : ((~m2_nattra_1(F, A!0, k11_cat_2(B!1, C), D, E)) | (k14_isocat_2(A!0, B!1, C, D, E, F) = k6_isocat_1(A!0, k11_cat_2(B!1, C), C, D, E, F, k9_isocat_2(B!1, C))))))))),
% 18.85/19.01 inference(quant_inst,[status(thm)],[])).
% 18.85/19.01 tff(336,plain,
% 18.85/19.01 ((~![B: $i] : ((~l1_cat_1(B)) | (~v2_cat_1(B)) | ![C: $i] : ((~l1_cat_1(C)) | (~v2_cat_1(C)) | ![D: $i] : ((~m2_cat_1(D, A!0, k11_cat_2(B, C))) | ![E: $i] : ((~m2_cat_1(E, A!0, k11_cat_2(B, C))) | ![F: $i] : ((~m2_nattra_1(F, A!0, k11_cat_2(B, C), D, E)) | (k14_isocat_2(A!0, B, C, D, E, F) = k6_isocat_1(A!0, k11_cat_2(B, C), C, D, E, F, k9_isocat_2(B, C))))))))) | (~l1_cat_1(B!1)) | (~v2_cat_1(B!1)) | ![C: $i] : ((~l1_cat_1(C)) | (~v2_cat_1(C)) | ![D: $i] : ((~m2_cat_1(D, A!0, k11_cat_2(B!1, C))) | ![E: $i] : ((~m2_cat_1(E, A!0, k11_cat_2(B!1, C))) | ![F: $i] : ((~m2_nattra_1(F, A!0, k11_cat_2(B!1, C), D, E)) | (k14_isocat_2(A!0, B!1, C, D, E, F) = k6_isocat_1(A!0, k11_cat_2(B!1, C), C, D, E, F, k9_isocat_2(B!1, C)))))))),
% 18.85/19.01 inference(modus_ponens,[status(thm)],[335, 334])).
% 18.85/19.01 tff(337,plain,
% 18.85/19.01 (![C: $i] : ((~l1_cat_1(C)) | (~v2_cat_1(C)) | ![D: $i] : ((~m2_cat_1(D, A!0, k11_cat_2(B!1, C))) | ![E: $i] : ((~m2_cat_1(E, A!0, k11_cat_2(B!1, C))) | ![F: $i] : ((~m2_nattra_1(F, A!0, k11_cat_2(B!1, C), D, E)) | (k14_isocat_2(A!0, B!1, C, D, E, F) = k6_isocat_1(A!0, k11_cat_2(B!1, C), C, D, E, F, k9_isocat_2(B!1, C)))))))),
% 18.85/19.01 inference(unit_resolution,[status(thm)],[336, 51, 50, 333])).
% 18.85/19.01 tff(338,plain,
% 18.85/19.01 (((~![C: $i] : ((~l1_cat_1(C)) | (~v2_cat_1(C)) | ![D: $i] : ((~m2_cat_1(D, A!0, k11_cat_2(B!1, C))) | ![E: $i] : ((~m2_cat_1(E, A!0, k11_cat_2(B!1, C))) | ![F: $i] : ((~m2_nattra_1(F, A!0, k11_cat_2(B!1, C), D, E)) | (k14_isocat_2(A!0, B!1, C, D, E, F) = k6_isocat_1(A!0, k11_cat_2(B!1, C), C, D, E, F, k9_isocat_2(B!1, C)))))))) | ((~l1_cat_1(C!2)) | (~v2_cat_1(C!2)) | ![D: $i] : ((~m2_cat_1(D, A!0, k11_cat_2(B!1, C!2))) | ![E: $i] : ((~m2_cat_1(E, A!0, k11_cat_2(B!1, C!2))) | ![F: $i] : ((~m2_nattra_1(F, A!0, k11_cat_2(B!1, C!2), D, E)) | (k14_isocat_2(A!0, B!1, C!2, D, E, F) = k6_isocat_1(A!0, k11_cat_2(B!1, C!2), C!2, D, E, F, k9_isocat_2(B!1, C!2)))))))) <=> ((~![C: $i] : ((~l1_cat_1(C)) | (~v2_cat_1(C)) | ![D: $i] : ((~m2_cat_1(D, A!0, k11_cat_2(B!1, C))) | ![E: $i] : ((~m2_cat_1(E, A!0, k11_cat_2(B!1, C))) | ![F: $i] : ((~m2_nattra_1(F, A!0, k11_cat_2(B!1, C), D, E)) | (k14_isocat_2(A!0, B!1, C, D, E, F) = k6_isocat_1(A!0, k11_cat_2(B!1, C), C, D, E, F, k9_isocat_2(B!1, C)))))))) | (~l1_cat_1(C!2)) | (~v2_cat_1(C!2)) | ![D: $i] : ((~m2_cat_1(D, A!0, k11_cat_2(B!1, C!2))) | ![E: $i] : ((~m2_cat_1(E, A!0, k11_cat_2(B!1, C!2))) | ![F: $i] : ((~m2_nattra_1(F, A!0, k11_cat_2(B!1, C!2), D, E)) | (k14_isocat_2(A!0, B!1, C!2, D, E, F) = k6_isocat_1(A!0, k11_cat_2(B!1, C!2), C!2, D, E, F, k9_isocat_2(B!1, C!2)))))))),
% 18.85/19.01 inference(rewrite,[status(thm)],[])).
% 18.85/19.01 tff(339,plain,
% 18.85/19.01 ((~![C: $i] : ((~l1_cat_1(C)) | (~v2_cat_1(C)) | ![D: $i] : ((~m2_cat_1(D, A!0, k11_cat_2(B!1, C))) | ![E: $i] : ((~m2_cat_1(E, A!0, k11_cat_2(B!1, C))) | ![F: $i] : ((~m2_nattra_1(F, A!0, k11_cat_2(B!1, C), D, E)) | (k14_isocat_2(A!0, B!1, C, D, E, F) = k6_isocat_1(A!0, k11_cat_2(B!1, C), C, D, E, F, k9_isocat_2(B!1, C)))))))) | ((~l1_cat_1(C!2)) | (~v2_cat_1(C!2)) | ![D: $i] : ((~m2_cat_1(D, A!0, k11_cat_2(B!1, C!2))) | ![E: $i] : ((~m2_cat_1(E, A!0, k11_cat_2(B!1, C!2))) | ![F: $i] : ((~m2_nattra_1(F, A!0, k11_cat_2(B!1, C!2), D, E)) | (k14_isocat_2(A!0, B!1, C!2, D, E, F) = k6_isocat_1(A!0, k11_cat_2(B!1, C!2), C!2, D, E, F, k9_isocat_2(B!1, C!2)))))))),
% 18.85/19.01 inference(quant_inst,[status(thm)],[])).
% 18.85/19.02 tff(340,plain,
% 18.85/19.02 ((~![C: $i] : ((~l1_cat_1(C)) | (~v2_cat_1(C)) | ![D: $i] : ((~m2_cat_1(D, A!0, k11_cat_2(B!1, C))) | ![E: $i] : ((~m2_cat_1(E, A!0, k11_cat_2(B!1, C))) | ![F: $i] : ((~m2_nattra_1(F, A!0, k11_cat_2(B!1, C), D, E)) | (k14_isocat_2(A!0, B!1, C, D, E, F) = k6_isocat_1(A!0, k11_cat_2(B!1, C), C, D, E, F, k9_isocat_2(B!1, C)))))))) | (~l1_cat_1(C!2)) | (~v2_cat_1(C!2)) | ![D: $i] : ((~m2_cat_1(D, A!0, k11_cat_2(B!1, C!2))) | ![E: $i] : ((~m2_cat_1(E, A!0, k11_cat_2(B!1, C!2))) | ![F: $i] : ((~m2_nattra_1(F, A!0, k11_cat_2(B!1, C!2), D, E)) | (k14_isocat_2(A!0, B!1, C!2, D, E, F) = k6_isocat_1(A!0, k11_cat_2(B!1, C!2), C!2, D, E, F, k9_isocat_2(B!1, C!2))))))),
% 18.85/19.02 inference(modus_ponens,[status(thm)],[339, 338])).
% 18.85/19.02 tff(341,plain,
% 18.85/19.02 (![D: $i] : ((~m2_cat_1(D, A!0, k11_cat_2(B!1, C!2))) | ![E: $i] : ((~m2_cat_1(E, A!0, k11_cat_2(B!1, C!2))) | ![F: $i] : ((~m2_nattra_1(F, A!0, k11_cat_2(B!1, C!2), D, E)) | (k14_isocat_2(A!0, B!1, C!2, D, E, F) = k6_isocat_1(A!0, k11_cat_2(B!1, C!2), C!2, D, E, F, k9_isocat_2(B!1, C!2))))))),
% 18.85/19.02 inference(unit_resolution,[status(thm)],[340, 57, 56, 337])).
% 18.85/19.02 tff(342,plain,
% 18.85/19.02 (((~![D: $i] : ((~m2_cat_1(D, A!0, k11_cat_2(B!1, C!2))) | ![E: $i] : ((~m2_cat_1(E, A!0, k11_cat_2(B!1, C!2))) | ![F: $i] : ((~m2_nattra_1(F, A!0, k11_cat_2(B!1, C!2), D, E)) | (k14_isocat_2(A!0, B!1, C!2, D, E, F) = k6_isocat_1(A!0, k11_cat_2(B!1, C!2), C!2, D, E, F, k9_isocat_2(B!1, C!2))))))) | ((~m2_cat_1(E!4, A!0, k11_cat_2(B!1, C!2))) | ![E: $i] : ((~m2_cat_1(E, A!0, k11_cat_2(B!1, C!2))) | ![F: $i] : ((~m2_nattra_1(F, A!0, k11_cat_2(B!1, C!2), E!4, E)) | (k14_isocat_2(A!0, B!1, C!2, E!4, E, F) = k6_isocat_1(A!0, k11_cat_2(B!1, C!2), C!2, E!4, E, F, k9_isocat_2(B!1, C!2))))))) <=> ((~![D: $i] : ((~m2_cat_1(D, A!0, k11_cat_2(B!1, C!2))) | ![E: $i] : ((~m2_cat_1(E, A!0, k11_cat_2(B!1, C!2))) | ![F: $i] : ((~m2_nattra_1(F, A!0, k11_cat_2(B!1, C!2), D, E)) | (k14_isocat_2(A!0, B!1, C!2, D, E, F) = k6_isocat_1(A!0, k11_cat_2(B!1, C!2), C!2, D, E, F, k9_isocat_2(B!1, C!2))))))) | (~m2_cat_1(E!4, A!0, k11_cat_2(B!1, C!2))) | ![E: $i] : ((~m2_cat_1(E, A!0, k11_cat_2(B!1, C!2))) | ![F: $i] : ((~m2_nattra_1(F, A!0, k11_cat_2(B!1, C!2), E!4, E)) | (k14_isocat_2(A!0, B!1, C!2, E!4, E, F) = k6_isocat_1(A!0, k11_cat_2(B!1, C!2), C!2, E!4, E, F, k9_isocat_2(B!1, C!2))))))),
% 18.85/19.02 inference(rewrite,[status(thm)],[])).
% 18.85/19.02 tff(343,plain,
% 18.85/19.02 ((~![D: $i] : ((~m2_cat_1(D, A!0, k11_cat_2(B!1, C!2))) | ![E: $i] : ((~m2_cat_1(E, A!0, k11_cat_2(B!1, C!2))) | ![F: $i] : ((~m2_nattra_1(F, A!0, k11_cat_2(B!1, C!2), D, E)) | (k14_isocat_2(A!0, B!1, C!2, D, E, F) = k6_isocat_1(A!0, k11_cat_2(B!1, C!2), C!2, D, E, F, k9_isocat_2(B!1, C!2))))))) | ((~m2_cat_1(E!4, A!0, k11_cat_2(B!1, C!2))) | ![E: $i] : ((~m2_cat_1(E, A!0, k11_cat_2(B!1, C!2))) | ![F: $i] : ((~m2_nattra_1(F, A!0, k11_cat_2(B!1, C!2), E!4, E)) | (k14_isocat_2(A!0, B!1, C!2, E!4, E, F) = k6_isocat_1(A!0, k11_cat_2(B!1, C!2), C!2, E!4, E, F, k9_isocat_2(B!1, C!2))))))),
% 18.85/19.02 inference(quant_inst,[status(thm)],[])).
% 18.85/19.02 tff(344,plain,
% 18.85/19.02 ((~![D: $i] : ((~m2_cat_1(D, A!0, k11_cat_2(B!1, C!2))) | ![E: $i] : ((~m2_cat_1(E, A!0, k11_cat_2(B!1, C!2))) | ![F: $i] : ((~m2_nattra_1(F, A!0, k11_cat_2(B!1, C!2), D, E)) | (k14_isocat_2(A!0, B!1, C!2, D, E, F) = k6_isocat_1(A!0, k11_cat_2(B!1, C!2), C!2, D, E, F, k9_isocat_2(B!1, C!2))))))) | (~m2_cat_1(E!4, A!0, k11_cat_2(B!1, C!2))) | ![E: $i] : ((~m2_cat_1(E, A!0, k11_cat_2(B!1, C!2))) | ![F: $i] : ((~m2_nattra_1(F, A!0, k11_cat_2(B!1, C!2), E!4, E)) | (k14_isocat_2(A!0, B!1, C!2, E!4, E, F) = k6_isocat_1(A!0, k11_cat_2(B!1, C!2), C!2, E!4, E, F, k9_isocat_2(B!1, C!2)))))),
% 18.85/19.02 inference(modus_ponens,[status(thm)],[343, 342])).
% 18.85/19.02 tff(345,plain,
% 18.85/19.02 (![E: $i] : ((~m2_cat_1(E, A!0, k11_cat_2(B!1, C!2))) | ![F: $i] : ((~m2_nattra_1(F, A!0, k11_cat_2(B!1, C!2), E!4, E)) | (k14_isocat_2(A!0, B!1, C!2, E!4, E, F) = k6_isocat_1(A!0, k11_cat_2(B!1, C!2), C!2, E!4, E, F, k9_isocat_2(B!1, C!2)))))),
% 18.85/19.02 inference(unit_resolution,[status(thm)],[344, 62, 341])).
% 18.85/19.02 tff(346,plain,
% 18.85/19.02 (((~![E: $i] : ((~m2_cat_1(E, A!0, k11_cat_2(B!1, C!2))) | ![F: $i] : ((~m2_nattra_1(F, A!0, k11_cat_2(B!1, C!2), E!4, E)) | (k14_isocat_2(A!0, B!1, C!2, E!4, E, F) = k6_isocat_1(A!0, k11_cat_2(B!1, C!2), C!2, E!4, E, F, k9_isocat_2(B!1, C!2)))))) | ((~m2_cat_1(F!5, A!0, k11_cat_2(B!1, C!2))) | ![F: $i] : ((~m2_nattra_1(F, A!0, k11_cat_2(B!1, C!2), E!4, F!5)) | (k14_isocat_2(A!0, B!1, C!2, E!4, F!5, F) = k6_isocat_1(A!0, k11_cat_2(B!1, C!2), C!2, E!4, F!5, F, k9_isocat_2(B!1, C!2)))))) <=> ((~![E: $i] : ((~m2_cat_1(E, A!0, k11_cat_2(B!1, C!2))) | ![F: $i] : ((~m2_nattra_1(F, A!0, k11_cat_2(B!1, C!2), E!4, E)) | (k14_isocat_2(A!0, B!1, C!2, E!4, E, F) = k6_isocat_1(A!0, k11_cat_2(B!1, C!2), C!2, E!4, E, F, k9_isocat_2(B!1, C!2)))))) | (~m2_cat_1(F!5, A!0, k11_cat_2(B!1, C!2))) | ![F: $i] : ((~m2_nattra_1(F, A!0, k11_cat_2(B!1, C!2), E!4, F!5)) | (k14_isocat_2(A!0, B!1, C!2, E!4, F!5, F) = k6_isocat_1(A!0, k11_cat_2(B!1, C!2), C!2, E!4, F!5, F, k9_isocat_2(B!1, C!2)))))),
% 18.85/19.02 inference(rewrite,[status(thm)],[])).
% 18.85/19.02 tff(347,plain,
% 18.85/19.02 ((~![E: $i] : ((~m2_cat_1(E, A!0, k11_cat_2(B!1, C!2))) | ![F: $i] : ((~m2_nattra_1(F, A!0, k11_cat_2(B!1, C!2), E!4, E)) | (k14_isocat_2(A!0, B!1, C!2, E!4, E, F) = k6_isocat_1(A!0, k11_cat_2(B!1, C!2), C!2, E!4, E, F, k9_isocat_2(B!1, C!2)))))) | ((~m2_cat_1(F!5, A!0, k11_cat_2(B!1, C!2))) | ![F: $i] : ((~m2_nattra_1(F, A!0, k11_cat_2(B!1, C!2), E!4, F!5)) | (k14_isocat_2(A!0, B!1, C!2, E!4, F!5, F) = k6_isocat_1(A!0, k11_cat_2(B!1, C!2), C!2, E!4, F!5, F, k9_isocat_2(B!1, C!2)))))),
% 18.85/19.02 inference(quant_inst,[status(thm)],[])).
% 18.85/19.02 tff(348,plain,
% 18.85/19.02 ((~![E: $i] : ((~m2_cat_1(E, A!0, k11_cat_2(B!1, C!2))) | ![F: $i] : ((~m2_nattra_1(F, A!0, k11_cat_2(B!1, C!2), E!4, E)) | (k14_isocat_2(A!0, B!1, C!2, E!4, E, F) = k6_isocat_1(A!0, k11_cat_2(B!1, C!2), C!2, E!4, E, F, k9_isocat_2(B!1, C!2)))))) | (~m2_cat_1(F!5, A!0, k11_cat_2(B!1, C!2))) | ![F: $i] : ((~m2_nattra_1(F, A!0, k11_cat_2(B!1, C!2), E!4, F!5)) | (k14_isocat_2(A!0, B!1, C!2, E!4, F!5, F) = k6_isocat_1(A!0, k11_cat_2(B!1, C!2), C!2, E!4, F!5, F, k9_isocat_2(B!1, C!2))))),
% 18.85/19.02 inference(modus_ponens,[status(thm)],[347, 346])).
% 18.85/19.02 tff(349,plain,
% 18.85/19.02 (![F: $i] : ((~m2_nattra_1(F, A!0, k11_cat_2(B!1, C!2), E!4, F!5)) | (k14_isocat_2(A!0, B!1, C!2, E!4, F!5, F) = k6_isocat_1(A!0, k11_cat_2(B!1, C!2), C!2, E!4, F!5, F, k9_isocat_2(B!1, C!2))))),
% 18.85/19.02 inference(unit_resolution,[status(thm)],[348, 67, 345])).
% 18.85/19.02 tff(350,plain,
% 18.85/19.02 (((~![F: $i] : ((~m2_nattra_1(F, A!0, k11_cat_2(B!1, C!2), E!4, F!5)) | (k14_isocat_2(A!0, B!1, C!2, E!4, F!5, F) = k6_isocat_1(A!0, k11_cat_2(B!1, C!2), C!2, E!4, F!5, F, k9_isocat_2(B!1, C!2))))) | ((~m2_nattra_1(H!7, A!0, k11_cat_2(B!1, C!2), E!4, F!5)) | (k14_isocat_2(A!0, B!1, C!2, E!4, F!5, H!7) = k6_isocat_1(A!0, k11_cat_2(B!1, C!2), C!2, E!4, F!5, H!7, k9_isocat_2(B!1, C!2))))) <=> ((~![F: $i] : ((~m2_nattra_1(F, A!0, k11_cat_2(B!1, C!2), E!4, F!5)) | (k14_isocat_2(A!0, B!1, C!2, E!4, F!5, F) = k6_isocat_1(A!0, k11_cat_2(B!1, C!2), C!2, E!4, F!5, F, k9_isocat_2(B!1, C!2))))) | (~m2_nattra_1(H!7, A!0, k11_cat_2(B!1, C!2), E!4, F!5)) | (k14_isocat_2(A!0, B!1, C!2, E!4, F!5, H!7) = k6_isocat_1(A!0, k11_cat_2(B!1, C!2), C!2, E!4, F!5, H!7, k9_isocat_2(B!1, C!2))))),
% 18.85/19.02 inference(rewrite,[status(thm)],[])).
% 18.85/19.02 tff(351,plain,
% 18.85/19.02 ((~![F: $i] : ((~m2_nattra_1(F, A!0, k11_cat_2(B!1, C!2), E!4, F!5)) | (k14_isocat_2(A!0, B!1, C!2, E!4, F!5, F) = k6_isocat_1(A!0, k11_cat_2(B!1, C!2), C!2, E!4, F!5, F, k9_isocat_2(B!1, C!2))))) | ((~m2_nattra_1(H!7, A!0, k11_cat_2(B!1, C!2), E!4, F!5)) | (k14_isocat_2(A!0, B!1, C!2, E!4, F!5, H!7) = k6_isocat_1(A!0, k11_cat_2(B!1, C!2), C!2, E!4, F!5, H!7, k9_isocat_2(B!1, C!2))))),
% 18.85/19.02 inference(quant_inst,[status(thm)],[])).
% 18.85/19.02 tff(352,plain,
% 18.85/19.02 ((~![F: $i] : ((~m2_nattra_1(F, A!0, k11_cat_2(B!1, C!2), E!4, F!5)) | (k14_isocat_2(A!0, B!1, C!2, E!4, F!5, F) = k6_isocat_1(A!0, k11_cat_2(B!1, C!2), C!2, E!4, F!5, F, k9_isocat_2(B!1, C!2))))) | (~m2_nattra_1(H!7, A!0, k11_cat_2(B!1, C!2), E!4, F!5)) | (k14_isocat_2(A!0, B!1, C!2, E!4, F!5, H!7) = k6_isocat_1(A!0, k11_cat_2(B!1, C!2), C!2, E!4, F!5, H!7, k9_isocat_2(B!1, C!2)))),
% 18.85/19.02 inference(modus_ponens,[status(thm)],[351, 350])).
% 18.85/19.02 tff(353,plain,
% 18.85/19.02 (k14_isocat_2(A!0, B!1, C!2, E!4, F!5, H!7) = k6_isocat_1(A!0, k11_cat_2(B!1, C!2), C!2, E!4, F!5, H!7, k9_isocat_2(B!1, C!2))),
% 18.85/19.02 inference(unit_resolution,[status(thm)],[352, 73, 349])).
% 18.85/19.02 tff(354,plain,
% 18.85/19.02 (k6_isocat_1(A!0, k11_cat_2(B!1, C!2), C!2, E!4, F!5, H!7, k9_isocat_2(B!1, C!2)) = k14_isocat_2(A!0, B!1, C!2, E!4, F!5, H!7)),
% 18.85/19.02 inference(symmetry,[status(thm)],[353])).
% 18.85/19.02 tff(355,plain,
% 18.85/19.02 (^[A: $i, B: $i] : refl(((k9_isocat_2(A, B) = k17_cat_2(A, B)) | (~l1_cat_1(B)) | (~v2_cat_1(A)) | (~l1_cat_1(A)) | (~v2_cat_1(B))) <=> ((k9_isocat_2(A, B) = k17_cat_2(A, B)) | (~l1_cat_1(B)) | (~v2_cat_1(A)) | (~l1_cat_1(A)) | (~v2_cat_1(B))))),
% 18.85/19.02 inference(bind,[status(th)],[])).
% 18.85/19.02 tff(356,plain,
% 18.85/19.02 (![A: $i, B: $i] : ((k9_isocat_2(A, B) = k17_cat_2(A, B)) | (~l1_cat_1(B)) | (~v2_cat_1(A)) | (~l1_cat_1(A)) | (~v2_cat_1(B))) <=> ![A: $i, B: $i] : ((k9_isocat_2(A, B) = k17_cat_2(A, B)) | (~l1_cat_1(B)) | (~v2_cat_1(A)) | (~l1_cat_1(A)) | (~v2_cat_1(B)))),
% 18.85/19.02 inference(quant_intro,[status(thm)],[355])).
% 18.85/19.02 tff(357,plain,
% 18.85/19.02 (^[A: $i, B: $i] : trans(monotonicity(trans(monotonicity(rewrite((v2_cat_1(A) & l1_cat_1(A) & v2_cat_1(B) & l1_cat_1(B)) <=> (~((~l1_cat_1(B)) | (~v2_cat_1(A)) | (~l1_cat_1(A)) | (~v2_cat_1(B))))), ((~(v2_cat_1(A) & l1_cat_1(A) & v2_cat_1(B) & l1_cat_1(B))) <=> (~(~((~l1_cat_1(B)) | (~v2_cat_1(A)) | (~l1_cat_1(A)) | (~v2_cat_1(B))))))), rewrite((~(~((~l1_cat_1(B)) | (~v2_cat_1(A)) | (~l1_cat_1(A)) | (~v2_cat_1(B))))) <=> ((~l1_cat_1(B)) | (~v2_cat_1(A)) | (~l1_cat_1(A)) | (~v2_cat_1(B)))), ((~(v2_cat_1(A) & l1_cat_1(A) & v2_cat_1(B) & l1_cat_1(B))) <=> ((~l1_cat_1(B)) | (~v2_cat_1(A)) | (~l1_cat_1(A)) | (~v2_cat_1(B))))), (((~(v2_cat_1(A) & l1_cat_1(A) & v2_cat_1(B) & l1_cat_1(B))) | (k9_isocat_2(A, B) = k17_cat_2(A, B))) <=> (((~l1_cat_1(B)) | (~v2_cat_1(A)) | (~l1_cat_1(A)) | (~v2_cat_1(B))) | (k9_isocat_2(A, B) = k17_cat_2(A, B))))), rewrite((((~l1_cat_1(B)) | (~v2_cat_1(A)) | (~l1_cat_1(A)) | (~v2_cat_1(B))) | (k9_isocat_2(A, B) = k17_cat_2(A, B))) <=> ((k9_isocat_2(A, B) = k17_cat_2(A, B)) | (~l1_cat_1(B)) | (~v2_cat_1(A)) | (~l1_cat_1(A)) | (~v2_cat_1(B)))), (((~(v2_cat_1(A) & l1_cat_1(A) & v2_cat_1(B) & l1_cat_1(B))) | (k9_isocat_2(A, B) = k17_cat_2(A, B))) <=> ((k9_isocat_2(A, B) = k17_cat_2(A, B)) | (~l1_cat_1(B)) | (~v2_cat_1(A)) | (~l1_cat_1(A)) | (~v2_cat_1(B)))))),
% 18.85/19.02 inference(bind,[status(th)],[])).
% 18.85/19.02 tff(358,plain,
% 18.85/19.02 (![A: $i, B: $i] : ((~(v2_cat_1(A) & l1_cat_1(A) & v2_cat_1(B) & l1_cat_1(B))) | (k9_isocat_2(A, B) = k17_cat_2(A, B))) <=> ![A: $i, B: $i] : ((k9_isocat_2(A, B) = k17_cat_2(A, B)) | (~l1_cat_1(B)) | (~v2_cat_1(A)) | (~l1_cat_1(A)) | (~v2_cat_1(B)))),
% 18.85/19.02 inference(quant_intro,[status(thm)],[357])).
% 18.85/19.02 tff(359,plain,
% 18.85/19.02 (![A: $i, B: $i] : ((~(v2_cat_1(A) & l1_cat_1(A) & v2_cat_1(B) & l1_cat_1(B))) | (k9_isocat_2(A, B) = k17_cat_2(A, B))) <=> ![A: $i, B: $i] : ((~(v2_cat_1(A) & l1_cat_1(A) & v2_cat_1(B) & l1_cat_1(B))) | (k9_isocat_2(A, B) = k17_cat_2(A, B)))),
% 18.85/19.02 inference(rewrite,[status(thm)],[])).
% 18.85/19.02 tff(360,plain,
% 18.85/19.02 (^[A: $i, B: $i] : trans(monotonicity(trans(monotonicity(rewrite(((v2_cat_1(A) & l1_cat_1(A)) & v2_cat_1(B)) <=> (v2_cat_1(A) & l1_cat_1(A) & v2_cat_1(B))), ((((v2_cat_1(A) & l1_cat_1(A)) & v2_cat_1(B)) & l1_cat_1(B)) <=> ((v2_cat_1(A) & l1_cat_1(A) & v2_cat_1(B)) & l1_cat_1(B)))), rewrite(((v2_cat_1(A) & l1_cat_1(A) & v2_cat_1(B)) & l1_cat_1(B)) <=> (v2_cat_1(A) & l1_cat_1(A) & v2_cat_1(B) & l1_cat_1(B))), ((((v2_cat_1(A) & l1_cat_1(A)) & v2_cat_1(B)) & l1_cat_1(B)) <=> (v2_cat_1(A) & l1_cat_1(A) & v2_cat_1(B) & l1_cat_1(B)))), (((((v2_cat_1(A) & l1_cat_1(A)) & v2_cat_1(B)) & l1_cat_1(B)) => (k9_isocat_2(A, B) = k17_cat_2(A, B))) <=> ((v2_cat_1(A) & l1_cat_1(A) & v2_cat_1(B) & l1_cat_1(B)) => (k9_isocat_2(A, B) = k17_cat_2(A, B))))), rewrite(((v2_cat_1(A) & l1_cat_1(A) & v2_cat_1(B) & l1_cat_1(B)) => (k9_isocat_2(A, B) = k17_cat_2(A, B))) <=> ((~(v2_cat_1(A) & l1_cat_1(A) & v2_cat_1(B) & l1_cat_1(B))) | (k9_isocat_2(A, B) = k17_cat_2(A, B)))), (((((v2_cat_1(A) & l1_cat_1(A)) & v2_cat_1(B)) & l1_cat_1(B)) => (k9_isocat_2(A, B) = k17_cat_2(A, B))) <=> ((~(v2_cat_1(A) & l1_cat_1(A) & v2_cat_1(B) & l1_cat_1(B))) | (k9_isocat_2(A, B) = k17_cat_2(A, B)))))),
% 18.85/19.02 inference(bind,[status(th)],[])).
% 18.85/19.02 tff(361,plain,
% 18.85/19.02 (![A: $i, B: $i] : ((((v2_cat_1(A) & l1_cat_1(A)) & v2_cat_1(B)) & l1_cat_1(B)) => (k9_isocat_2(A, B) = k17_cat_2(A, B))) <=> ![A: $i, B: $i] : ((~(v2_cat_1(A) & l1_cat_1(A) & v2_cat_1(B) & l1_cat_1(B))) | (k9_isocat_2(A, B) = k17_cat_2(A, B)))),
% 18.85/19.02 inference(quant_intro,[status(thm)],[360])).
% 18.85/19.02 tff(362,axiom,(![A: $i, B: $i] : ((((v2_cat_1(A) & l1_cat_1(A)) & v2_cat_1(B)) & l1_cat_1(B)) => (k9_isocat_2(A, B) = k17_cat_2(A, B)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','redefinition_k9_isocat_2')).
% 18.85/19.02 tff(363,plain,
% 18.85/19.02 (![A: $i, B: $i] : ((~(v2_cat_1(A) & l1_cat_1(A) & v2_cat_1(B) & l1_cat_1(B))) | (k9_isocat_2(A, B) = k17_cat_2(A, B)))),
% 18.85/19.02 inference(modus_ponens,[status(thm)],[362, 361])).
% 18.85/19.02 tff(364,plain,
% 18.85/19.02 (![A: $i, B: $i] : ((~(v2_cat_1(A) & l1_cat_1(A) & v2_cat_1(B) & l1_cat_1(B))) | (k9_isocat_2(A, B) = k17_cat_2(A, B)))),
% 18.85/19.02 inference(modus_ponens,[status(thm)],[363, 359])).
% 18.85/19.02 tff(365,plain,(
% 18.85/19.02 ![A: $i, B: $i] : ((~(v2_cat_1(A) & l1_cat_1(A) & v2_cat_1(B) & l1_cat_1(B))) | (k9_isocat_2(A, B) = k17_cat_2(A, B)))),
% 18.85/19.02 inference(skolemize,[status(sab)],[364])).
% 18.85/19.02 tff(366,plain,
% 18.85/19.02 (![A: $i, B: $i] : ((k9_isocat_2(A, B) = k17_cat_2(A, B)) | (~l1_cat_1(B)) | (~v2_cat_1(A)) | (~l1_cat_1(A)) | (~v2_cat_1(B)))),
% 18.85/19.02 inference(modus_ponens,[status(thm)],[365, 358])).
% 18.85/19.02 tff(367,plain,
% 18.85/19.02 (![A: $i, B: $i] : ((k9_isocat_2(A, B) = k17_cat_2(A, B)) | (~l1_cat_1(B)) | (~v2_cat_1(A)) | (~l1_cat_1(A)) | (~v2_cat_1(B)))),
% 18.85/19.02 inference(modus_ponens,[status(thm)],[366, 356])).
% 18.85/19.02 tff(368,plain,
% 18.85/19.02 (((~![A: $i, B: $i] : ((k9_isocat_2(A, B) = k17_cat_2(A, B)) | (~l1_cat_1(B)) | (~v2_cat_1(A)) | (~l1_cat_1(A)) | (~v2_cat_1(B)))) | ((~l1_cat_1(C!2)) | (~v2_cat_1(B!1)) | (~l1_cat_1(B!1)) | (~v2_cat_1(C!2)) | (k9_isocat_2(B!1, C!2) = k17_cat_2(B!1, C!2)))) <=> ((~![A: $i, B: $i] : ((k9_isocat_2(A, B) = k17_cat_2(A, B)) | (~l1_cat_1(B)) | (~v2_cat_1(A)) | (~l1_cat_1(A)) | (~v2_cat_1(B)))) | (~l1_cat_1(C!2)) | (~v2_cat_1(B!1)) | (~l1_cat_1(B!1)) | (~v2_cat_1(C!2)) | (k9_isocat_2(B!1, C!2) = k17_cat_2(B!1, C!2)))),
% 18.85/19.02 inference(rewrite,[status(thm)],[])).
% 18.85/19.02 tff(369,plain,
% 18.85/19.02 (((k9_isocat_2(B!1, C!2) = k17_cat_2(B!1, C!2)) | (~l1_cat_1(C!2)) | (~v2_cat_1(B!1)) | (~l1_cat_1(B!1)) | (~v2_cat_1(C!2))) <=> ((~l1_cat_1(C!2)) | (~v2_cat_1(B!1)) | (~l1_cat_1(B!1)) | (~v2_cat_1(C!2)) | (k9_isocat_2(B!1, C!2) = k17_cat_2(B!1, C!2)))),
% 18.85/19.02 inference(rewrite,[status(thm)],[])).
% 18.85/19.02 tff(370,plain,
% 18.85/19.02 (((~![A: $i, B: $i] : ((k9_isocat_2(A, B) = k17_cat_2(A, B)) | (~l1_cat_1(B)) | (~v2_cat_1(A)) | (~l1_cat_1(A)) | (~v2_cat_1(B)))) | ((k9_isocat_2(B!1, C!2) = k17_cat_2(B!1, C!2)) | (~l1_cat_1(C!2)) | (~v2_cat_1(B!1)) | (~l1_cat_1(B!1)) | (~v2_cat_1(C!2)))) <=> ((~![A: $i, B: $i] : ((k9_isocat_2(A, B) = k17_cat_2(A, B)) | (~l1_cat_1(B)) | (~v2_cat_1(A)) | (~l1_cat_1(A)) | (~v2_cat_1(B)))) | ((~l1_cat_1(C!2)) | (~v2_cat_1(B!1)) | (~l1_cat_1(B!1)) | (~v2_cat_1(C!2)) | (k9_isocat_2(B!1, C!2) = k17_cat_2(B!1, C!2))))),
% 18.85/19.02 inference(monotonicity,[status(thm)],[369])).
% 18.85/19.02 tff(371,plain,
% 18.85/19.02 (((~![A: $i, B: $i] : ((k9_isocat_2(A, B) = k17_cat_2(A, B)) | (~l1_cat_1(B)) | (~v2_cat_1(A)) | (~l1_cat_1(A)) | (~v2_cat_1(B)))) | ((k9_isocat_2(B!1, C!2) = k17_cat_2(B!1, C!2)) | (~l1_cat_1(C!2)) | (~v2_cat_1(B!1)) | (~l1_cat_1(B!1)) | (~v2_cat_1(C!2)))) <=> ((~![A: $i, B: $i] : ((k9_isocat_2(A, B) = k17_cat_2(A, B)) | (~l1_cat_1(B)) | (~v2_cat_1(A)) | (~l1_cat_1(A)) | (~v2_cat_1(B)))) | (~l1_cat_1(C!2)) | (~v2_cat_1(B!1)) | (~l1_cat_1(B!1)) | (~v2_cat_1(C!2)) | (k9_isocat_2(B!1, C!2) = k17_cat_2(B!1, C!2)))),
% 18.85/19.02 inference(transitivity,[status(thm)],[370, 368])).
% 18.85/19.02 tff(372,plain,
% 18.85/19.02 ((~![A: $i, B: $i] : ((k9_isocat_2(A, B) = k17_cat_2(A, B)) | (~l1_cat_1(B)) | (~v2_cat_1(A)) | (~l1_cat_1(A)) | (~v2_cat_1(B)))) | ((k9_isocat_2(B!1, C!2) = k17_cat_2(B!1, C!2)) | (~l1_cat_1(C!2)) | (~v2_cat_1(B!1)) | (~l1_cat_1(B!1)) | (~v2_cat_1(C!2)))),
% 18.85/19.02 inference(quant_inst,[status(thm)],[])).
% 18.85/19.02 tff(373,plain,
% 18.85/19.02 ((~![A: $i, B: $i] : ((k9_isocat_2(A, B) = k17_cat_2(A, B)) | (~l1_cat_1(B)) | (~v2_cat_1(A)) | (~l1_cat_1(A)) | (~v2_cat_1(B)))) | (~l1_cat_1(C!2)) | (~v2_cat_1(B!1)) | (~l1_cat_1(B!1)) | (~v2_cat_1(C!2)) | (k9_isocat_2(B!1, C!2) = k17_cat_2(B!1, C!2))),
% 18.85/19.02 inference(modus_ponens,[status(thm)],[372, 371])).
% 18.85/19.02 tff(374,plain,
% 18.85/19.02 (k9_isocat_2(B!1, C!2) = k17_cat_2(B!1, C!2)),
% 18.85/19.02 inference(unit_resolution,[status(thm)],[373, 51, 50, 57, 56, 367])).
% 18.85/19.02 tff(375,plain,
% 18.85/19.02 (k17_cat_2(B!1, C!2) = k9_isocat_2(B!1, C!2)),
% 18.85/19.02 inference(symmetry,[status(thm)],[374])).
% 18.85/19.02 tff(376,plain,
% 18.85/19.02 (k6_isocat_1(A!0, k11_cat_2(B!1, C!2), C!2, E!4, F!5, H!7, k17_cat_2(B!1, C!2)) = k6_isocat_1(A!0, k11_cat_2(B!1, C!2), C!2, E!4, F!5, H!7, k9_isocat_2(B!1, C!2))),
% 18.85/19.02 inference(monotonicity,[status(thm)],[375])).
% 18.85/19.02 tff(377,plain,
% 18.85/19.02 (k6_isocat_1(A!0, k11_cat_2(B!1, C!2), C!2, E!4, F!5, H!7, k17_cat_2(B!1, C!2)) = k14_isocat_2(A!0, B!1, C!2, E!4, F!5, H!7)),
% 18.85/19.02 inference(transitivity,[status(thm)],[376, 354])).
% 18.85/19.02 tff(378,plain,
% 18.85/19.02 (((~![D: $i] : ((~m2_cat_1(D, A!0, k11_cat_2(B!1, C!2))) | ![E: $i] : ((~m2_cat_1(E, A!0, k11_cat_2(B!1, C!2))) | ![F: $i] : ((~m2_nattra_1(F, A!0, k11_cat_2(B!1, C!2), D, E)) | (k14_isocat_2(A!0, B!1, C!2, D, E, F) = k6_isocat_1(A!0, k11_cat_2(B!1, C!2), C!2, D, E, F, k9_isocat_2(B!1, C!2))))))) | ((~m2_cat_1(D!3, A!0, k11_cat_2(B!1, C!2))) | ![E: $i] : ((~m2_cat_1(E, A!0, k11_cat_2(B!1, C!2))) | ![F: $i] : ((~m2_nattra_1(F, A!0, k11_cat_2(B!1, C!2), D!3, E)) | (k14_isocat_2(A!0, B!1, C!2, D!3, E, F) = k6_isocat_1(A!0, k11_cat_2(B!1, C!2), C!2, D!3, E, F, k9_isocat_2(B!1, C!2))))))) <=> ((~![D: $i] : ((~m2_cat_1(D, A!0, k11_cat_2(B!1, C!2))) | ![E: $i] : ((~m2_cat_1(E, A!0, k11_cat_2(B!1, C!2))) | ![F: $i] : ((~m2_nattra_1(F, A!0, k11_cat_2(B!1, C!2), D, E)) | (k14_isocat_2(A!0, B!1, C!2, D, E, F) = k6_isocat_1(A!0, k11_cat_2(B!1, C!2), C!2, D, E, F, k9_isocat_2(B!1, C!2))))))) | (~m2_cat_1(D!3, A!0, k11_cat_2(B!1, C!2))) | ![E: $i] : ((~m2_cat_1(E, A!0, k11_cat_2(B!1, C!2))) | ![F: $i] : ((~m2_nattra_1(F, A!0, k11_cat_2(B!1, C!2), D!3, E)) | (k14_isocat_2(A!0, B!1, C!2, D!3, E, F) = k6_isocat_1(A!0, k11_cat_2(B!1, C!2), C!2, D!3, E, F, k9_isocat_2(B!1, C!2))))))),
% 18.85/19.02 inference(rewrite,[status(thm)],[])).
% 18.85/19.02 tff(379,plain,
% 18.85/19.02 ((~![D: $i] : ((~m2_cat_1(D, A!0, k11_cat_2(B!1, C!2))) | ![E: $i] : ((~m2_cat_1(E, A!0, k11_cat_2(B!1, C!2))) | ![F: $i] : ((~m2_nattra_1(F, A!0, k11_cat_2(B!1, C!2), D, E)) | (k14_isocat_2(A!0, B!1, C!2, D, E, F) = k6_isocat_1(A!0, k11_cat_2(B!1, C!2), C!2, D, E, F, k9_isocat_2(B!1, C!2))))))) | ((~m2_cat_1(D!3, A!0, k11_cat_2(B!1, C!2))) | ![E: $i] : ((~m2_cat_1(E, A!0, k11_cat_2(B!1, C!2))) | ![F: $i] : ((~m2_nattra_1(F, A!0, k11_cat_2(B!1, C!2), D!3, E)) | (k14_isocat_2(A!0, B!1, C!2, D!3, E, F) = k6_isocat_1(A!0, k11_cat_2(B!1, C!2), C!2, D!3, E, F, k9_isocat_2(B!1, C!2))))))),
% 18.85/19.02 inference(quant_inst,[status(thm)],[])).
% 18.85/19.02 tff(380,plain,
% 18.85/19.02 ((~![D: $i] : ((~m2_cat_1(D, A!0, k11_cat_2(B!1, C!2))) | ![E: $i] : ((~m2_cat_1(E, A!0, k11_cat_2(B!1, C!2))) | ![F: $i] : ((~m2_nattra_1(F, A!0, k11_cat_2(B!1, C!2), D, E)) | (k14_isocat_2(A!0, B!1, C!2, D, E, F) = k6_isocat_1(A!0, k11_cat_2(B!1, C!2), C!2, D, E, F, k9_isocat_2(B!1, C!2))))))) | (~m2_cat_1(D!3, A!0, k11_cat_2(B!1, C!2))) | ![E: $i] : ((~m2_cat_1(E, A!0, k11_cat_2(B!1, C!2))) | ![F: $i] : ((~m2_nattra_1(F, A!0, k11_cat_2(B!1, C!2), D!3, E)) | (k14_isocat_2(A!0, B!1, C!2, D!3, E, F) = k6_isocat_1(A!0, k11_cat_2(B!1, C!2), C!2, D!3, E, F, k9_isocat_2(B!1, C!2)))))),
% 18.85/19.02 inference(modus_ponens,[status(thm)],[379, 378])).
% 18.85/19.02 tff(381,plain,
% 18.85/19.02 (![E: $i] : ((~m2_cat_1(E, A!0, k11_cat_2(B!1, C!2))) | ![F: $i] : ((~m2_nattra_1(F, A!0, k11_cat_2(B!1, C!2), D!3, E)) | (k14_isocat_2(A!0, B!1, C!2, D!3, E, F) = k6_isocat_1(A!0, k11_cat_2(B!1, C!2), C!2, D!3, E, F, k9_isocat_2(B!1, C!2)))))),
% 18.85/19.02 inference(unit_resolution,[status(thm)],[380, 102, 341])).
% 18.85/19.02 tff(382,plain,
% 18.85/19.02 (((~![E: $i] : ((~m2_cat_1(E, A!0, k11_cat_2(B!1, C!2))) | ![F: $i] : ((~m2_nattra_1(F, A!0, k11_cat_2(B!1, C!2), D!3, E)) | (k14_isocat_2(A!0, B!1, C!2, D!3, E, F) = k6_isocat_1(A!0, k11_cat_2(B!1, C!2), C!2, D!3, E, F, k9_isocat_2(B!1, C!2)))))) | ((~m2_cat_1(E!4, A!0, k11_cat_2(B!1, C!2))) | ![F: $i] : ((~m2_nattra_1(F, A!0, k11_cat_2(B!1, C!2), D!3, E!4)) | (k14_isocat_2(A!0, B!1, C!2, D!3, E!4, F) = k6_isocat_1(A!0, k11_cat_2(B!1, C!2), C!2, D!3, E!4, F, k9_isocat_2(B!1, C!2)))))) <=> ((~![E: $i] : ((~m2_cat_1(E, A!0, k11_cat_2(B!1, C!2))) | ![F: $i] : ((~m2_nattra_1(F, A!0, k11_cat_2(B!1, C!2), D!3, E)) | (k14_isocat_2(A!0, B!1, C!2, D!3, E, F) = k6_isocat_1(A!0, k11_cat_2(B!1, C!2), C!2, D!3, E, F, k9_isocat_2(B!1, C!2)))))) | (~m2_cat_1(E!4, A!0, k11_cat_2(B!1, C!2))) | ![F: $i] : ((~m2_nattra_1(F, A!0, k11_cat_2(B!1, C!2), D!3, E!4)) | (k14_isocat_2(A!0, B!1, C!2, D!3, E!4, F) = k6_isocat_1(A!0, k11_cat_2(B!1, C!2), C!2, D!3, E!4, F, k9_isocat_2(B!1, C!2)))))),
% 18.85/19.02 inference(rewrite,[status(thm)],[])).
% 18.85/19.02 tff(383,plain,
% 18.85/19.02 ((~![E: $i] : ((~m2_cat_1(E, A!0, k11_cat_2(B!1, C!2))) | ![F: $i] : ((~m2_nattra_1(F, A!0, k11_cat_2(B!1, C!2), D!3, E)) | (k14_isocat_2(A!0, B!1, C!2, D!3, E, F) = k6_isocat_1(A!0, k11_cat_2(B!1, C!2), C!2, D!3, E, F, k9_isocat_2(B!1, C!2)))))) | ((~m2_cat_1(E!4, A!0, k11_cat_2(B!1, C!2))) | ![F: $i] : ((~m2_nattra_1(F, A!0, k11_cat_2(B!1, C!2), D!3, E!4)) | (k14_isocat_2(A!0, B!1, C!2, D!3, E!4, F) = k6_isocat_1(A!0, k11_cat_2(B!1, C!2), C!2, D!3, E!4, F, k9_isocat_2(B!1, C!2)))))),
% 18.85/19.02 inference(quant_inst,[status(thm)],[])).
% 18.85/19.02 tff(384,plain,
% 18.85/19.02 ((~![E: $i] : ((~m2_cat_1(E, A!0, k11_cat_2(B!1, C!2))) | ![F: $i] : ((~m2_nattra_1(F, A!0, k11_cat_2(B!1, C!2), D!3, E)) | (k14_isocat_2(A!0, B!1, C!2, D!3, E, F) = k6_isocat_1(A!0, k11_cat_2(B!1, C!2), C!2, D!3, E, F, k9_isocat_2(B!1, C!2)))))) | (~m2_cat_1(E!4, A!0, k11_cat_2(B!1, C!2))) | ![F: $i] : ((~m2_nattra_1(F, A!0, k11_cat_2(B!1, C!2), D!3, E!4)) | (k14_isocat_2(A!0, B!1, C!2, D!3, E!4, F) = k6_isocat_1(A!0, k11_cat_2(B!1, C!2), C!2, D!3, E!4, F, k9_isocat_2(B!1, C!2))))),
% 18.85/19.02 inference(modus_ponens,[status(thm)],[383, 382])).
% 18.85/19.02 tff(385,plain,
% 18.85/19.02 (![F: $i] : ((~m2_nattra_1(F, A!0, k11_cat_2(B!1, C!2), D!3, E!4)) | (k14_isocat_2(A!0, B!1, C!2, D!3, E!4, F) = k6_isocat_1(A!0, k11_cat_2(B!1, C!2), C!2, D!3, E!4, F, k9_isocat_2(B!1, C!2))))),
% 18.85/19.02 inference(unit_resolution,[status(thm)],[384, 62, 381])).
% 18.85/19.02 tff(386,plain,
% 18.85/19.02 (((~![F: $i] : ((~m2_nattra_1(F, A!0, k11_cat_2(B!1, C!2), D!3, E!4)) | (k14_isocat_2(A!0, B!1, C!2, D!3, E!4, F) = k6_isocat_1(A!0, k11_cat_2(B!1, C!2), C!2, D!3, E!4, F, k9_isocat_2(B!1, C!2))))) | ((~m2_nattra_1(G!6, A!0, k11_cat_2(B!1, C!2), D!3, E!4)) | (k14_isocat_2(A!0, B!1, C!2, D!3, E!4, G!6) = k6_isocat_1(A!0, k11_cat_2(B!1, C!2), C!2, D!3, E!4, G!6, k9_isocat_2(B!1, C!2))))) <=> ((~![F: $i] : ((~m2_nattra_1(F, A!0, k11_cat_2(B!1, C!2), D!3, E!4)) | (k14_isocat_2(A!0, B!1, C!2, D!3, E!4, F) = k6_isocat_1(A!0, k11_cat_2(B!1, C!2), C!2, D!3, E!4, F, k9_isocat_2(B!1, C!2))))) | (~m2_nattra_1(G!6, A!0, k11_cat_2(B!1, C!2), D!3, E!4)) | (k14_isocat_2(A!0, B!1, C!2, D!3, E!4, G!6) = k6_isocat_1(A!0, k11_cat_2(B!1, C!2), C!2, D!3, E!4, G!6, k9_isocat_2(B!1, C!2))))),
% 18.85/19.02 inference(rewrite,[status(thm)],[])).
% 18.85/19.02 tff(387,plain,
% 18.85/19.02 ((~![F: $i] : ((~m2_nattra_1(F, A!0, k11_cat_2(B!1, C!2), D!3, E!4)) | (k14_isocat_2(A!0, B!1, C!2, D!3, E!4, F) = k6_isocat_1(A!0, k11_cat_2(B!1, C!2), C!2, D!3, E!4, F, k9_isocat_2(B!1, C!2))))) | ((~m2_nattra_1(G!6, A!0, k11_cat_2(B!1, C!2), D!3, E!4)) | (k14_isocat_2(A!0, B!1, C!2, D!3, E!4, G!6) = k6_isocat_1(A!0, k11_cat_2(B!1, C!2), C!2, D!3, E!4, G!6, k9_isocat_2(B!1, C!2))))),
% 18.85/19.02 inference(quant_inst,[status(thm)],[])).
% 18.85/19.02 tff(388,plain,
% 18.85/19.02 ((~![F: $i] : ((~m2_nattra_1(F, A!0, k11_cat_2(B!1, C!2), D!3, E!4)) | (k14_isocat_2(A!0, B!1, C!2, D!3, E!4, F) = k6_isocat_1(A!0, k11_cat_2(B!1, C!2), C!2, D!3, E!4, F, k9_isocat_2(B!1, C!2))))) | (~m2_nattra_1(G!6, A!0, k11_cat_2(B!1, C!2), D!3, E!4)) | (k14_isocat_2(A!0, B!1, C!2, D!3, E!4, G!6) = k6_isocat_1(A!0, k11_cat_2(B!1, C!2), C!2, D!3, E!4, G!6, k9_isocat_2(B!1, C!2)))),
% 18.85/19.02 inference(modus_ponens,[status(thm)],[387, 386])).
% 18.85/19.02 tff(389,plain,
% 18.85/19.02 (k14_isocat_2(A!0, B!1, C!2, D!3, E!4, G!6) = k6_isocat_1(A!0, k11_cat_2(B!1, C!2), C!2, D!3, E!4, G!6, k9_isocat_2(B!1, C!2))),
% 18.85/19.03 inference(unit_resolution,[status(thm)],[388, 111, 385])).
% 18.85/19.03 tff(390,plain,
% 18.85/19.03 (k6_isocat_1(A!0, k11_cat_2(B!1, C!2), C!2, D!3, E!4, G!6, k9_isocat_2(B!1, C!2)) = k14_isocat_2(A!0, B!1, C!2, D!3, E!4, G!6)),
% 18.85/19.03 inference(symmetry,[status(thm)],[389])).
% 18.85/19.03 tff(391,plain,
% 18.85/19.03 (k6_isocat_1(A!0, k11_cat_2(B!1, C!2), C!2, D!3, E!4, G!6, k17_cat_2(B!1, C!2)) = k6_isocat_1(A!0, k11_cat_2(B!1, C!2), C!2, D!3, E!4, G!6, k9_isocat_2(B!1, C!2))),
% 18.85/19.03 inference(monotonicity,[status(thm)],[375])).
% 18.85/19.03 tff(392,plain,
% 18.85/19.03 (k6_isocat_1(A!0, k11_cat_2(B!1, C!2), C!2, D!3, E!4, G!6, k17_cat_2(B!1, C!2)) = k14_isocat_2(A!0, B!1, C!2, D!3, E!4, G!6)),
% 18.85/19.03 inference(transitivity,[status(thm)],[391, 390])).
% 18.85/19.03 tff(393,plain,
% 18.85/19.03 (^[A: $i] : rewrite(((~l1_cat_1(A)) | (~v2_cat_1(A)) | ![B: $i] : ((~l1_cat_1(B)) | (~v2_cat_1(B)) | ![C: $i] : ((~l1_cat_1(C)) | ![D: $i] : ((~m2_cat_1(D, A, k11_cat_2(B, C))) | (k12_isocat_2(A, B, C, D) = k2_isocat_1(A, k11_cat_2(B, C), C, D, k9_isocat_2(B, C)))) | (~v2_cat_1(C))))) <=> ((~l1_cat_1(A)) | (~v2_cat_1(A)) | ![B: $i] : ((~l1_cat_1(B)) | (~v2_cat_1(B)) | ![C: $i] : ((~l1_cat_1(C)) | (~v2_cat_1(C)) | ![D: $i] : ((~m2_cat_1(D, A, k11_cat_2(B, C))) | (k12_isocat_2(A, B, C, D) = k2_isocat_1(A, k11_cat_2(B, C), C, D, k9_isocat_2(B, C))))))))),
% 18.85/19.03 inference(bind,[status(th)],[])).
% 18.85/19.03 tff(394,plain,
% 18.85/19.03 (![A: $i] : ((~l1_cat_1(A)) | (~v2_cat_1(A)) | ![B: $i] : ((~l1_cat_1(B)) | (~v2_cat_1(B)) | ![C: $i] : ((~l1_cat_1(C)) | ![D: $i] : ((~m2_cat_1(D, A, k11_cat_2(B, C))) | (k12_isocat_2(A, B, C, D) = k2_isocat_1(A, k11_cat_2(B, C), C, D, k9_isocat_2(B, C)))) | (~v2_cat_1(C))))) <=> ![A: $i] : ((~l1_cat_1(A)) | (~v2_cat_1(A)) | ![B: $i] : ((~l1_cat_1(B)) | (~v2_cat_1(B)) | ![C: $i] : ((~l1_cat_1(C)) | (~v2_cat_1(C)) | ![D: $i] : ((~m2_cat_1(D, A, k11_cat_2(B, C))) | (k12_isocat_2(A, B, C, D) = k2_isocat_1(A, k11_cat_2(B, C), C, D, k9_isocat_2(B, C)))))))),
% 18.85/19.03 inference(quant_intro,[status(thm)],[393])).
% 18.85/19.03 tff(395,plain,
% 18.85/19.03 (^[A: $i] : refl(((~l1_cat_1(A)) | (~v2_cat_1(A)) | ![B: $i] : ((~l1_cat_1(B)) | (~v2_cat_1(B)) | ![C: $i] : ((~l1_cat_1(C)) | ![D: $i] : ((~m2_cat_1(D, A, k11_cat_2(B, C))) | (k12_isocat_2(A, B, C, D) = k2_isocat_1(A, k11_cat_2(B, C), C, D, k9_isocat_2(B, C)))) | (~v2_cat_1(C))))) <=> ((~l1_cat_1(A)) | (~v2_cat_1(A)) | ![B: $i] : ((~l1_cat_1(B)) | (~v2_cat_1(B)) | ![C: $i] : ((~l1_cat_1(C)) | ![D: $i] : ((~m2_cat_1(D, A, k11_cat_2(B, C))) | (k12_isocat_2(A, B, C, D) = k2_isocat_1(A, k11_cat_2(B, C), C, D, k9_isocat_2(B, C)))) | (~v2_cat_1(C))))))),
% 18.85/19.03 inference(bind,[status(th)],[])).
% 18.85/19.03 tff(396,plain,
% 18.85/19.03 (![A: $i] : ((~l1_cat_1(A)) | (~v2_cat_1(A)) | ![B: $i] : ((~l1_cat_1(B)) | (~v2_cat_1(B)) | ![C: $i] : ((~l1_cat_1(C)) | ![D: $i] : ((~m2_cat_1(D, A, k11_cat_2(B, C))) | (k12_isocat_2(A, B, C, D) = k2_isocat_1(A, k11_cat_2(B, C), C, D, k9_isocat_2(B, C)))) | (~v2_cat_1(C))))) <=> ![A: $i] : ((~l1_cat_1(A)) | (~v2_cat_1(A)) | ![B: $i] : ((~l1_cat_1(B)) | (~v2_cat_1(B)) | ![C: $i] : ((~l1_cat_1(C)) | ![D: $i] : ((~m2_cat_1(D, A, k11_cat_2(B, C))) | (k12_isocat_2(A, B, C, D) = k2_isocat_1(A, k11_cat_2(B, C), C, D, k9_isocat_2(B, C)))) | (~v2_cat_1(C)))))),
% 18.85/19.03 inference(quant_intro,[status(thm)],[395])).
% 18.85/19.03 tff(397,plain,
% 18.85/19.03 (^[A: $i] : rewrite(((~l1_cat_1(A)) | (~v2_cat_1(A)) | ![B: $i] : ((~l1_cat_1(B)) | (~v2_cat_1(B)) | ![C: $i] : ((~l1_cat_1(C)) | ![D: $i] : ((~m2_cat_1(D, A, k11_cat_2(B, C))) | (k12_isocat_2(A, B, C, D) = k2_isocat_1(A, k11_cat_2(B, C), C, D, k9_isocat_2(B, C)))) | (~v2_cat_1(C))))) <=> ((~l1_cat_1(A)) | (~v2_cat_1(A)) | ![B: $i] : ((~l1_cat_1(B)) | (~v2_cat_1(B)) | ![C: $i] : ((~l1_cat_1(C)) | ![D: $i] : ((~m2_cat_1(D, A, k11_cat_2(B, C))) | (k12_isocat_2(A, B, C, D) = k2_isocat_1(A, k11_cat_2(B, C), C, D, k9_isocat_2(B, C)))) | (~v2_cat_1(C))))))),
% 18.85/19.03 inference(bind,[status(th)],[])).
% 18.85/19.03 tff(398,plain,
% 18.85/19.03 (![A: $i] : ((~l1_cat_1(A)) | (~v2_cat_1(A)) | ![B: $i] : ((~l1_cat_1(B)) | (~v2_cat_1(B)) | ![C: $i] : ((~l1_cat_1(C)) | ![D: $i] : ((~m2_cat_1(D, A, k11_cat_2(B, C))) | (k12_isocat_2(A, B, C, D) = k2_isocat_1(A, k11_cat_2(B, C), C, D, k9_isocat_2(B, C)))) | (~v2_cat_1(C))))) <=> ![A: $i] : ((~l1_cat_1(A)) | (~v2_cat_1(A)) | ![B: $i] : ((~l1_cat_1(B)) | (~v2_cat_1(B)) | ![C: $i] : ((~l1_cat_1(C)) | ![D: $i] : ((~m2_cat_1(D, A, k11_cat_2(B, C))) | (k12_isocat_2(A, B, C, D) = k2_isocat_1(A, k11_cat_2(B, C), C, D, k9_isocat_2(B, C)))) | (~v2_cat_1(C)))))),
% 18.85/19.03 inference(quant_intro,[status(thm)],[397])).
% 18.85/19.03 tff(399,plain,
% 18.85/19.03 (![A: $i] : ((~l1_cat_1(A)) | (~v2_cat_1(A)) | ![B: $i] : ((~l1_cat_1(B)) | (~v2_cat_1(B)) | ![C: $i] : ((~l1_cat_1(C)) | ![D: $i] : ((~m2_cat_1(D, A, k11_cat_2(B, C))) | (k12_isocat_2(A, B, C, D) = k2_isocat_1(A, k11_cat_2(B, C), C, D, k9_isocat_2(B, C)))) | (~v2_cat_1(C))))) <=> ![A: $i] : ((~l1_cat_1(A)) | (~v2_cat_1(A)) | ![B: $i] : ((~l1_cat_1(B)) | (~v2_cat_1(B)) | ![C: $i] : ((~l1_cat_1(C)) | ![D: $i] : ((~m2_cat_1(D, A, k11_cat_2(B, C))) | (k12_isocat_2(A, B, C, D) = k2_isocat_1(A, k11_cat_2(B, C), C, D, k9_isocat_2(B, C)))) | (~v2_cat_1(C)))))),
% 18.85/19.03 inference(transitivity,[status(thm)],[398, 396])).
% 18.85/19.03 tff(400,plain,
% 18.85/19.03 (^[A: $i] : trans(monotonicity(trans(monotonicity(rewrite((v2_cat_1(A) & l1_cat_1(A)) <=> (~((~l1_cat_1(A)) | (~v2_cat_1(A))))), ((~(v2_cat_1(A) & l1_cat_1(A))) <=> (~(~((~l1_cat_1(A)) | (~v2_cat_1(A))))))), rewrite((~(~((~l1_cat_1(A)) | (~v2_cat_1(A))))) <=> ((~l1_cat_1(A)) | (~v2_cat_1(A)))), ((~(v2_cat_1(A) & l1_cat_1(A))) <=> ((~l1_cat_1(A)) | (~v2_cat_1(A))))), quant_intro(proof_bind(^[B: $i] : trans(monotonicity(trans(monotonicity(rewrite((v2_cat_1(B) & l1_cat_1(B)) <=> (~((~l1_cat_1(B)) | (~v2_cat_1(B))))), ((~(v2_cat_1(B) & l1_cat_1(B))) <=> (~(~((~l1_cat_1(B)) | (~v2_cat_1(B))))))), rewrite((~(~((~l1_cat_1(B)) | (~v2_cat_1(B))))) <=> ((~l1_cat_1(B)) | (~v2_cat_1(B)))), ((~(v2_cat_1(B) & l1_cat_1(B))) <=> ((~l1_cat_1(B)) | (~v2_cat_1(B))))), quant_intro(proof_bind(^[C: $i] : trans(monotonicity(trans(monotonicity(rewrite((v2_cat_1(C) & l1_cat_1(C)) <=> (~((~l1_cat_1(C)) | (~v2_cat_1(C))))), ((~(v2_cat_1(C) & l1_cat_1(C))) <=> (~(~((~l1_cat_1(C)) | (~v2_cat_1(C))))))), rewrite((~(~((~l1_cat_1(C)) | (~v2_cat_1(C))))) <=> ((~l1_cat_1(C)) | (~v2_cat_1(C)))), ((~(v2_cat_1(C) & l1_cat_1(C))) <=> ((~l1_cat_1(C)) | (~v2_cat_1(C))))), (((~(v2_cat_1(C) & l1_cat_1(C))) | ![D: $i] : ((~m2_cat_1(D, A, k11_cat_2(B, C))) | (k12_isocat_2(A, B, C, D) = k2_isocat_1(A, k11_cat_2(B, C), C, D, k9_isocat_2(B, C))))) <=> (((~l1_cat_1(C)) | (~v2_cat_1(C))) | ![D: $i] : ((~m2_cat_1(D, A, k11_cat_2(B, C))) | (k12_isocat_2(A, B, C, D) = k2_isocat_1(A, k11_cat_2(B, C), C, D, k9_isocat_2(B, C))))))), rewrite((((~l1_cat_1(C)) | (~v2_cat_1(C))) | ![D: $i] : ((~m2_cat_1(D, A, k11_cat_2(B, C))) | (k12_isocat_2(A, B, C, D) = k2_isocat_1(A, k11_cat_2(B, C), C, D, k9_isocat_2(B, C))))) <=> ((~l1_cat_1(C)) | ![D: $i] : ((~m2_cat_1(D, A, k11_cat_2(B, C))) | (k12_isocat_2(A, B, C, D) = k2_isocat_1(A, k11_cat_2(B, C), C, D, k9_isocat_2(B, C)))) | (~v2_cat_1(C)))), (((~(v2_cat_1(C) & l1_cat_1(C))) | ![D: $i] : ((~m2_cat_1(D, A, k11_cat_2(B, C))) | (k12_isocat_2(A, B, C, D) = k2_isocat_1(A, k11_cat_2(B, C), C, D, k9_isocat_2(B, C))))) <=> ((~l1_cat_1(C)) | ![D: $i] : ((~m2_cat_1(D, A, k11_cat_2(B, C))) | (k12_isocat_2(A, B, C, D) = k2_isocat_1(A, k11_cat_2(B, C), C, D, k9_isocat_2(B, C)))) | (~v2_cat_1(C)))))), (![C: $i] : ((~(v2_cat_1(C) & l1_cat_1(C))) | ![D: $i] : ((~m2_cat_1(D, A, k11_cat_2(B, C))) | (k12_isocat_2(A, B, C, D) = k2_isocat_1(A, k11_cat_2(B, C), C, D, k9_isocat_2(B, C))))) <=> ![C: $i] : ((~l1_cat_1(C)) | ![D: $i] : ((~m2_cat_1(D, A, k11_cat_2(B, C))) | (k12_isocat_2(A, B, C, D) = k2_isocat_1(A, k11_cat_2(B, C), C, D, k9_isocat_2(B, C)))) | (~v2_cat_1(C))))), (((~(v2_cat_1(B) & l1_cat_1(B))) | ![C: $i] : ((~(v2_cat_1(C) & l1_cat_1(C))) | ![D: $i] : ((~m2_cat_1(D, A, k11_cat_2(B, C))) | (k12_isocat_2(A, B, C, D) = k2_isocat_1(A, k11_cat_2(B, C), C, D, k9_isocat_2(B, C)))))) <=> (((~l1_cat_1(B)) | (~v2_cat_1(B))) | ![C: $i] : ((~l1_cat_1(C)) | ![D: $i] : ((~m2_cat_1(D, A, k11_cat_2(B, C))) | (k12_isocat_2(A, B, C, D) = k2_isocat_1(A, k11_cat_2(B, C), C, D, k9_isocat_2(B, C)))) | (~v2_cat_1(C)))))), rewrite((((~l1_cat_1(B)) | (~v2_cat_1(B))) | ![C: $i] : ((~l1_cat_1(C)) | ![D: $i] : ((~m2_cat_1(D, A, k11_cat_2(B, C))) | (k12_isocat_2(A, B, C, D) = k2_isocat_1(A, k11_cat_2(B, C), C, D, k9_isocat_2(B, C)))) | (~v2_cat_1(C)))) <=> ((~l1_cat_1(B)) | (~v2_cat_1(B)) | ![C: $i] : ((~l1_cat_1(C)) | ![D: $i] : ((~m2_cat_1(D, A, k11_cat_2(B, C))) | (k12_isocat_2(A, B, C, D) = k2_isocat_1(A, k11_cat_2(B, C), C, D, k9_isocat_2(B, C)))) | (~v2_cat_1(C))))), (((~(v2_cat_1(B) & l1_cat_1(B))) | ![C: $i] : ((~(v2_cat_1(C) & l1_cat_1(C))) | ![D: $i] : ((~m2_cat_1(D, A, k11_cat_2(B, C))) | (k12_isocat_2(A, B, C, D) = k2_isocat_1(A, k11_cat_2(B, C), C, D, k9_isocat_2(B, C)))))) <=> ((~l1_cat_1(B)) | (~v2_cat_1(B)) | ![C: $i] : ((~l1_cat_1(C)) | ![D: $i] : ((~m2_cat_1(D, A, k11_cat_2(B, C))) | (k12_isocat_2(A, B, C, D) = k2_isocat_1(A, k11_cat_2(B, C), C, D, k9_isocat_2(B, C)))) | (~v2_cat_1(C))))))), (![B: $i] : ((~(v2_cat_1(B) & l1_cat_1(B))) | ![C: $i] : ((~(v2_cat_1(C) & l1_cat_1(C))) | ![D: $i] : ((~m2_cat_1(D, A, k11_cat_2(B, C))) | (k12_isocat_2(A, B, C, D) = k2_isocat_1(A, k11_cat_2(B, C), C, D, k9_isocat_2(B, C)))))) <=> ![B: $i] : ((~l1_cat_1(B)) | (~v2_cat_1(B)) | ![C: $i] : ((~l1_cat_1(C)) | ![D: $i] : ((~m2_cat_1(D, A, k11_cat_2(B, C))) | (k12_isocat_2(A, B, C, D) = k2_isocat_1(A, k11_cat_2(B, C), C, D, k9_isocat_2(B, C)))) | (~v2_cat_1(C)))))), (((~(v2_cat_1(A) & l1_cat_1(A))) | ![B: $i] : ((~(v2_cat_1(B) & l1_cat_1(B))) | ![C: $i] : ((~(v2_cat_1(C) & l1_cat_1(C))) | ![D: $i] : ((~m2_cat_1(D, A, k11_cat_2(B, C))) | (k12_isocat_2(A, B, C, D) = k2_isocat_1(A, k11_cat_2(B, C), C, D, k9_isocat_2(B, C))))))) <=> (((~l1_cat_1(A)) | (~v2_cat_1(A))) | ![B: $i] : ((~l1_cat_1(B)) | (~v2_cat_1(B)) | ![C: $i] : ((~l1_cat_1(C)) | ![D: $i] : ((~m2_cat_1(D, A, k11_cat_2(B, C))) | (k12_isocat_2(A, B, C, D) = k2_isocat_1(A, k11_cat_2(B, C), C, D, k9_isocat_2(B, C)))) | (~v2_cat_1(C))))))), rewrite((((~l1_cat_1(A)) | (~v2_cat_1(A))) | ![B: $i] : ((~l1_cat_1(B)) | (~v2_cat_1(B)) | ![C: $i] : ((~l1_cat_1(C)) | ![D: $i] : ((~m2_cat_1(D, A, k11_cat_2(B, C))) | (k12_isocat_2(A, B, C, D) = k2_isocat_1(A, k11_cat_2(B, C), C, D, k9_isocat_2(B, C)))) | (~v2_cat_1(C))))) <=> ((~l1_cat_1(A)) | (~v2_cat_1(A)) | ![B: $i] : ((~l1_cat_1(B)) | (~v2_cat_1(B)) | ![C: $i] : ((~l1_cat_1(C)) | ![D: $i] : ((~m2_cat_1(D, A, k11_cat_2(B, C))) | (k12_isocat_2(A, B, C, D) = k2_isocat_1(A, k11_cat_2(B, C), C, D, k9_isocat_2(B, C)))) | (~v2_cat_1(C)))))), (((~(v2_cat_1(A) & l1_cat_1(A))) | ![B: $i] : ((~(v2_cat_1(B) & l1_cat_1(B))) | ![C: $i] : ((~(v2_cat_1(C) & l1_cat_1(C))) | ![D: $i] : ((~m2_cat_1(D, A, k11_cat_2(B, C))) | (k12_isocat_2(A, B, C, D) = k2_isocat_1(A, k11_cat_2(B, C), C, D, k9_isocat_2(B, C))))))) <=> ((~l1_cat_1(A)) | (~v2_cat_1(A)) | ![B: $i] : ((~l1_cat_1(B)) | (~v2_cat_1(B)) | ![C: $i] : ((~l1_cat_1(C)) | ![D: $i] : ((~m2_cat_1(D, A, k11_cat_2(B, C))) | (k12_isocat_2(A, B, C, D) = k2_isocat_1(A, k11_cat_2(B, C), C, D, k9_isocat_2(B, C)))) | (~v2_cat_1(C)))))))),
% 18.85/19.03 inference(bind,[status(th)],[])).
% 18.85/19.03 tff(401,plain,
% 18.85/19.03 (![A: $i] : ((~(v2_cat_1(A) & l1_cat_1(A))) | ![B: $i] : ((~(v2_cat_1(B) & l1_cat_1(B))) | ![C: $i] : ((~(v2_cat_1(C) & l1_cat_1(C))) | ![D: $i] : ((~m2_cat_1(D, A, k11_cat_2(B, C))) | (k12_isocat_2(A, B, C, D) = k2_isocat_1(A, k11_cat_2(B, C), C, D, k9_isocat_2(B, C))))))) <=> ![A: $i] : ((~l1_cat_1(A)) | (~v2_cat_1(A)) | ![B: $i] : ((~l1_cat_1(B)) | (~v2_cat_1(B)) | ![C: $i] : ((~l1_cat_1(C)) | ![D: $i] : ((~m2_cat_1(D, A, k11_cat_2(B, C))) | (k12_isocat_2(A, B, C, D) = k2_isocat_1(A, k11_cat_2(B, C), C, D, k9_isocat_2(B, C)))) | (~v2_cat_1(C)))))),
% 18.85/19.03 inference(quant_intro,[status(thm)],[400])).
% 18.85/19.03 tff(402,plain,
% 18.85/19.03 (![A: $i] : ((~(v2_cat_1(A) & l1_cat_1(A))) | ![B: $i] : ((~(v2_cat_1(B) & l1_cat_1(B))) | ![C: $i] : ((~(v2_cat_1(C) & l1_cat_1(C))) | ![D: $i] : ((~m2_cat_1(D, A, k11_cat_2(B, C))) | (k12_isocat_2(A, B, C, D) = k2_isocat_1(A, k11_cat_2(B, C), C, D, k9_isocat_2(B, C))))))) <=> ![A: $i] : ((~(v2_cat_1(A) & l1_cat_1(A))) | ![B: $i] : ((~(v2_cat_1(B) & l1_cat_1(B))) | ![C: $i] : ((~(v2_cat_1(C) & l1_cat_1(C))) | ![D: $i] : ((~m2_cat_1(D, A, k11_cat_2(B, C))) | (k12_isocat_2(A, B, C, D) = k2_isocat_1(A, k11_cat_2(B, C), C, D, k9_isocat_2(B, C)))))))),
% 18.85/19.03 inference(rewrite,[status(thm)],[])).
% 18.85/19.03 tff(403,plain,
% 18.85/19.03 (^[A: $i] : trans(monotonicity(quant_intro(proof_bind(^[B: $i] : trans(monotonicity(quant_intro(proof_bind(^[C: $i] : trans(monotonicity(quant_intro(proof_bind(^[D: $i] : rewrite((m2_cat_1(D, A, k11_cat_2(B, C)) => (k12_isocat_2(A, B, C, D) = k2_isocat_1(A, k11_cat_2(B, C), C, D, k9_isocat_2(B, C)))) <=> ((~m2_cat_1(D, A, k11_cat_2(B, C))) | (k12_isocat_2(A, B, C, D) = k2_isocat_1(A, k11_cat_2(B, C), C, D, k9_isocat_2(B, C)))))), (![D: $i] : (m2_cat_1(D, A, k11_cat_2(B, C)) => (k12_isocat_2(A, B, C, D) = k2_isocat_1(A, k11_cat_2(B, C), C, D, k9_isocat_2(B, C)))) <=> ![D: $i] : ((~m2_cat_1(D, A, k11_cat_2(B, C))) | (k12_isocat_2(A, B, C, D) = k2_isocat_1(A, k11_cat_2(B, C), C, D, k9_isocat_2(B, C)))))), (((v2_cat_1(C) & l1_cat_1(C)) => ![D: $i] : (m2_cat_1(D, A, k11_cat_2(B, C)) => (k12_isocat_2(A, B, C, D) = k2_isocat_1(A, k11_cat_2(B, C), C, D, k9_isocat_2(B, C))))) <=> ((v2_cat_1(C) & l1_cat_1(C)) => ![D: $i] : ((~m2_cat_1(D, A, k11_cat_2(B, C))) | (k12_isocat_2(A, B, C, D) = k2_isocat_1(A, k11_cat_2(B, C), C, D, k9_isocat_2(B, C))))))), rewrite(((v2_cat_1(C) & l1_cat_1(C)) => ![D: $i] : ((~m2_cat_1(D, A, k11_cat_2(B, C))) | (k12_isocat_2(A, B, C, D) = k2_isocat_1(A, k11_cat_2(B, C), C, D, k9_isocat_2(B, C))))) <=> ((~(v2_cat_1(C) & l1_cat_1(C))) | ![D: $i] : ((~m2_cat_1(D, A, k11_cat_2(B, C))) | (k12_isocat_2(A, B, C, D) = k2_isocat_1(A, k11_cat_2(B, C), C, D, k9_isocat_2(B, C)))))), (((v2_cat_1(C) & l1_cat_1(C)) => ![D: $i] : (m2_cat_1(D, A, k11_cat_2(B, C)) => (k12_isocat_2(A, B, C, D) = k2_isocat_1(A, k11_cat_2(B, C), C, D, k9_isocat_2(B, C))))) <=> ((~(v2_cat_1(C) & l1_cat_1(C))) | ![D: $i] : ((~m2_cat_1(D, A, k11_cat_2(B, C))) | (k12_isocat_2(A, B, C, D) = k2_isocat_1(A, k11_cat_2(B, C), C, D, k9_isocat_2(B, C)))))))), (![C: $i] : ((v2_cat_1(C) & l1_cat_1(C)) => ![D: $i] : (m2_cat_1(D, A, k11_cat_2(B, C)) => (k12_isocat_2(A, B, C, D) = k2_isocat_1(A, k11_cat_2(B, C), C, D, k9_isocat_2(B, C))))) <=> ![C: $i] : ((~(v2_cat_1(C) & l1_cat_1(C))) | ![D: $i] : ((~m2_cat_1(D, A, k11_cat_2(B, C))) | (k12_isocat_2(A, B, C, D) = k2_isocat_1(A, k11_cat_2(B, C), C, D, k9_isocat_2(B, C))))))), (((v2_cat_1(B) & l1_cat_1(B)) => ![C: $i] : ((v2_cat_1(C) & l1_cat_1(C)) => ![D: $i] : (m2_cat_1(D, A, k11_cat_2(B, C)) => (k12_isocat_2(A, B, C, D) = k2_isocat_1(A, k11_cat_2(B, C), C, D, k9_isocat_2(B, C)))))) <=> ((v2_cat_1(B) & l1_cat_1(B)) => ![C: $i] : ((~(v2_cat_1(C) & l1_cat_1(C))) | ![D: $i] : ((~m2_cat_1(D, A, k11_cat_2(B, C))) | (k12_isocat_2(A, B, C, D) = k2_isocat_1(A, k11_cat_2(B, C), C, D, k9_isocat_2(B, C)))))))), rewrite(((v2_cat_1(B) & l1_cat_1(B)) => ![C: $i] : ((~(v2_cat_1(C) & l1_cat_1(C))) | ![D: $i] : ((~m2_cat_1(D, A, k11_cat_2(B, C))) | (k12_isocat_2(A, B, C, D) = k2_isocat_1(A, k11_cat_2(B, C), C, D, k9_isocat_2(B, C)))))) <=> ((~(v2_cat_1(B) & l1_cat_1(B))) | ![C: $i] : ((~(v2_cat_1(C) & l1_cat_1(C))) | ![D: $i] : ((~m2_cat_1(D, A, k11_cat_2(B, C))) | (k12_isocat_2(A, B, C, D) = k2_isocat_1(A, k11_cat_2(B, C), C, D, k9_isocat_2(B, C))))))), (((v2_cat_1(B) & l1_cat_1(B)) => ![C: $i] : ((v2_cat_1(C) & l1_cat_1(C)) => ![D: $i] : (m2_cat_1(D, A, k11_cat_2(B, C)) => (k12_isocat_2(A, B, C, D) = k2_isocat_1(A, k11_cat_2(B, C), C, D, k9_isocat_2(B, C)))))) <=> ((~(v2_cat_1(B) & l1_cat_1(B))) | ![C: $i] : ((~(v2_cat_1(C) & l1_cat_1(C))) | ![D: $i] : ((~m2_cat_1(D, A, k11_cat_2(B, C))) | (k12_isocat_2(A, B, C, D) = k2_isocat_1(A, k11_cat_2(B, C), C, D, k9_isocat_2(B, C))))))))), (![B: $i] : ((v2_cat_1(B) & l1_cat_1(B)) => ![C: $i] : ((v2_cat_1(C) & l1_cat_1(C)) => ![D: $i] : (m2_cat_1(D, A, k11_cat_2(B, C)) => (k12_isocat_2(A, B, C, D) = k2_isocat_1(A, k11_cat_2(B, C), C, D, k9_isocat_2(B, C)))))) <=> ![B: $i] : ((~(v2_cat_1(B) & l1_cat_1(B))) | ![C: $i] : ((~(v2_cat_1(C) & l1_cat_1(C))) | ![D: $i] : ((~m2_cat_1(D, A, k11_cat_2(B, C))) | (k12_isocat_2(A, B, C, D) = k2_isocat_1(A, k11_cat_2(B, C), C, D, k9_isocat_2(B, C)))))))), (((v2_cat_1(A) & l1_cat_1(A)) => ![B: $i] : ((v2_cat_1(B) & l1_cat_1(B)) => ![C: $i] : ((v2_cat_1(C) & l1_cat_1(C)) => ![D: $i] : (m2_cat_1(D, A, k11_cat_2(B, C)) => (k12_isocat_2(A, B, C, D) = k2_isocat_1(A, k11_cat_2(B, C), C, D, k9_isocat_2(B, C))))))) <=> ((v2_cat_1(A) & l1_cat_1(A)) => ![B: $i] : ((~(v2_cat_1(B) & l1_cat_1(B))) | ![C: $i] : ((~(v2_cat_1(C) & l1_cat_1(C))) | ![D: $i] : ((~m2_cat_1(D, A, k11_cat_2(B, C))) | (k12_isocat_2(A, B, C, D) = k2_isocat_1(A, k11_cat_2(B, C), C, D, k9_isocat_2(B, C))))))))), rewrite(((v2_cat_1(A) & l1_cat_1(A)) => ![B: $i] : ((~(v2_cat_1(B) & l1_cat_1(B))) | ![C: $i] : ((~(v2_cat_1(C) & l1_cat_1(C))) | ![D: $i] : ((~m2_cat_1(D, A, k11_cat_2(B, C))) | (k12_isocat_2(A, B, C, D) = k2_isocat_1(A, k11_cat_2(B, C), C, D, k9_isocat_2(B, C))))))) <=> ((~(v2_cat_1(A) & l1_cat_1(A))) | ![B: $i] : ((~(v2_cat_1(B) & l1_cat_1(B))) | ![C: $i] : ((~(v2_cat_1(C) & l1_cat_1(C))) | ![D: $i] : ((~m2_cat_1(D, A, k11_cat_2(B, C))) | (k12_isocat_2(A, B, C, D) = k2_isocat_1(A, k11_cat_2(B, C), C, D, k9_isocat_2(B, C)))))))), (((v2_cat_1(A) & l1_cat_1(A)) => ![B: $i] : ((v2_cat_1(B) & l1_cat_1(B)) => ![C: $i] : ((v2_cat_1(C) & l1_cat_1(C)) => ![D: $i] : (m2_cat_1(D, A, k11_cat_2(B, C)) => (k12_isocat_2(A, B, C, D) = k2_isocat_1(A, k11_cat_2(B, C), C, D, k9_isocat_2(B, C))))))) <=> ((~(v2_cat_1(A) & l1_cat_1(A))) | ![B: $i] : ((~(v2_cat_1(B) & l1_cat_1(B))) | ![C: $i] : ((~(v2_cat_1(C) & l1_cat_1(C))) | ![D: $i] : ((~m2_cat_1(D, A, k11_cat_2(B, C))) | (k12_isocat_2(A, B, C, D) = k2_isocat_1(A, k11_cat_2(B, C), C, D, k9_isocat_2(B, C)))))))))),
% 18.85/19.03 inference(bind,[status(th)],[])).
% 18.85/19.03 tff(404,plain,
% 18.85/19.03 (![A: $i] : ((v2_cat_1(A) & l1_cat_1(A)) => ![B: $i] : ((v2_cat_1(B) & l1_cat_1(B)) => ![C: $i] : ((v2_cat_1(C) & l1_cat_1(C)) => ![D: $i] : (m2_cat_1(D, A, k11_cat_2(B, C)) => (k12_isocat_2(A, B, C, D) = k2_isocat_1(A, k11_cat_2(B, C), C, D, k9_isocat_2(B, C))))))) <=> ![A: $i] : ((~(v2_cat_1(A) & l1_cat_1(A))) | ![B: $i] : ((~(v2_cat_1(B) & l1_cat_1(B))) | ![C: $i] : ((~(v2_cat_1(C) & l1_cat_1(C))) | ![D: $i] : ((~m2_cat_1(D, A, k11_cat_2(B, C))) | (k12_isocat_2(A, B, C, D) = k2_isocat_1(A, k11_cat_2(B, C), C, D, k9_isocat_2(B, C)))))))),
% 18.85/19.03 inference(quant_intro,[status(thm)],[403])).
% 18.85/19.03 tff(405,axiom,(![A: $i] : ((v2_cat_1(A) & l1_cat_1(A)) => ![B: $i] : ((v2_cat_1(B) & l1_cat_1(B)) => ![C: $i] : ((v2_cat_1(C) & l1_cat_1(C)) => ![D: $i] : (m2_cat_1(D, A, k11_cat_2(B, C)) => (k12_isocat_2(A, B, C, D) = k2_isocat_1(A, k11_cat_2(B, C), C, D, k9_isocat_2(B, C)))))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','d8_isocat_2')).
% 18.85/19.03 tff(406,plain,
% 18.85/19.03 (![A: $i] : ((~(v2_cat_1(A) & l1_cat_1(A))) | ![B: $i] : ((~(v2_cat_1(B) & l1_cat_1(B))) | ![C: $i] : ((~(v2_cat_1(C) & l1_cat_1(C))) | ![D: $i] : ((~m2_cat_1(D, A, k11_cat_2(B, C))) | (k12_isocat_2(A, B, C, D) = k2_isocat_1(A, k11_cat_2(B, C), C, D, k9_isocat_2(B, C)))))))),
% 18.85/19.03 inference(modus_ponens,[status(thm)],[405, 404])).
% 18.85/19.03 tff(407,plain,
% 18.85/19.03 (![A: $i] : ((~(v2_cat_1(A) & l1_cat_1(A))) | ![B: $i] : ((~(v2_cat_1(B) & l1_cat_1(B))) | ![C: $i] : ((~(v2_cat_1(C) & l1_cat_1(C))) | ![D: $i] : ((~m2_cat_1(D, A, k11_cat_2(B, C))) | (k12_isocat_2(A, B, C, D) = k2_isocat_1(A, k11_cat_2(B, C), C, D, k9_isocat_2(B, C)))))))),
% 18.85/19.03 inference(modus_ponens,[status(thm)],[406, 402])).
% 18.85/19.03 tff(408,plain,(
% 18.85/19.03 ![A: $i] : ((~(v2_cat_1(A) & l1_cat_1(A))) | ![B: $i] : ((~(v2_cat_1(B) & l1_cat_1(B))) | ![C: $i] : ((~(v2_cat_1(C) & l1_cat_1(C))) | ![D: $i] : ((~m2_cat_1(D, A, k11_cat_2(B, C))) | (k12_isocat_2(A, B, C, D) = k2_isocat_1(A, k11_cat_2(B, C), C, D, k9_isocat_2(B, C)))))))),
% 18.85/19.03 inference(skolemize,[status(sab)],[407])).
% 18.85/19.03 tff(409,plain,
% 18.85/19.03 (![A: $i] : ((~l1_cat_1(A)) | (~v2_cat_1(A)) | ![B: $i] : ((~l1_cat_1(B)) | (~v2_cat_1(B)) | ![C: $i] : ((~l1_cat_1(C)) | ![D: $i] : ((~m2_cat_1(D, A, k11_cat_2(B, C))) | (k12_isocat_2(A, B, C, D) = k2_isocat_1(A, k11_cat_2(B, C), C, D, k9_isocat_2(B, C)))) | (~v2_cat_1(C)))))),
% 18.85/19.03 inference(modus_ponens,[status(thm)],[408, 401])).
% 18.85/19.03 tff(410,plain,
% 18.85/19.03 (![A: $i] : ((~l1_cat_1(A)) | (~v2_cat_1(A)) | ![B: $i] : ((~l1_cat_1(B)) | (~v2_cat_1(B)) | ![C: $i] : ((~l1_cat_1(C)) | ![D: $i] : ((~m2_cat_1(D, A, k11_cat_2(B, C))) | (k12_isocat_2(A, B, C, D) = k2_isocat_1(A, k11_cat_2(B, C), C, D, k9_isocat_2(B, C)))) | (~v2_cat_1(C)))))),
% 18.85/19.03 inference(modus_ponens,[status(thm)],[409, 399])).
% 18.85/19.03 tff(411,plain,
% 18.85/19.03 (![A: $i] : ((~l1_cat_1(A)) | (~v2_cat_1(A)) | ![B: $i] : ((~l1_cat_1(B)) | (~v2_cat_1(B)) | ![C: $i] : ((~l1_cat_1(C)) | (~v2_cat_1(C)) | ![D: $i] : ((~m2_cat_1(D, A, k11_cat_2(B, C))) | (k12_isocat_2(A, B, C, D) = k2_isocat_1(A, k11_cat_2(B, C), C, D, k9_isocat_2(B, C)))))))),
% 18.85/19.03 inference(modus_ponens,[status(thm)],[410, 394])).
% 18.85/19.03 tff(412,plain,
% 18.85/19.03 (((~![A: $i] : ((~l1_cat_1(A)) | (~v2_cat_1(A)) | ![B: $i] : ((~l1_cat_1(B)) | (~v2_cat_1(B)) | ![C: $i] : ((~l1_cat_1(C)) | (~v2_cat_1(C)) | ![D: $i] : ((~m2_cat_1(D, A, k11_cat_2(B, C))) | (k12_isocat_2(A, B, C, D) = k2_isocat_1(A, k11_cat_2(B, C), C, D, k9_isocat_2(B, C)))))))) | ((~l1_cat_1(A!0)) | (~v2_cat_1(A!0)) | ![B: $i] : ((~l1_cat_1(B)) | (~v2_cat_1(B)) | ![C: $i] : ((~l1_cat_1(C)) | (~v2_cat_1(C)) | ![D: $i] : ((~m2_cat_1(D, A!0, k11_cat_2(B, C))) | (k12_isocat_2(A!0, B, C, D) = k2_isocat_1(A!0, k11_cat_2(B, C), C, D, k9_isocat_2(B, C)))))))) <=> ((~![A: $i] : ((~l1_cat_1(A)) | (~v2_cat_1(A)) | ![B: $i] : ((~l1_cat_1(B)) | (~v2_cat_1(B)) | ![C: $i] : ((~l1_cat_1(C)) | (~v2_cat_1(C)) | ![D: $i] : ((~m2_cat_1(D, A, k11_cat_2(B, C))) | (k12_isocat_2(A, B, C, D) = k2_isocat_1(A, k11_cat_2(B, C), C, D, k9_isocat_2(B, C)))))))) | (~l1_cat_1(A!0)) | (~v2_cat_1(A!0)) | ![B: $i] : ((~l1_cat_1(B)) | (~v2_cat_1(B)) | ![C: $i] : ((~l1_cat_1(C)) | (~v2_cat_1(C)) | ![D: $i] : ((~m2_cat_1(D, A!0, k11_cat_2(B, C))) | (k12_isocat_2(A!0, B, C, D) = k2_isocat_1(A!0, k11_cat_2(B, C), C, D, k9_isocat_2(B, C)))))))),
% 18.85/19.03 inference(rewrite,[status(thm)],[])).
% 18.85/19.03 tff(413,plain,
% 18.85/19.03 ((~![A: $i] : ((~l1_cat_1(A)) | (~v2_cat_1(A)) | ![B: $i] : ((~l1_cat_1(B)) | (~v2_cat_1(B)) | ![C: $i] : ((~l1_cat_1(C)) | (~v2_cat_1(C)) | ![D: $i] : ((~m2_cat_1(D, A, k11_cat_2(B, C))) | (k12_isocat_2(A, B, C, D) = k2_isocat_1(A, k11_cat_2(B, C), C, D, k9_isocat_2(B, C)))))))) | ((~l1_cat_1(A!0)) | (~v2_cat_1(A!0)) | ![B: $i] : ((~l1_cat_1(B)) | (~v2_cat_1(B)) | ![C: $i] : ((~l1_cat_1(C)) | (~v2_cat_1(C)) | ![D: $i] : ((~m2_cat_1(D, A!0, k11_cat_2(B, C))) | (k12_isocat_2(A!0, B, C, D) = k2_isocat_1(A!0, k11_cat_2(B, C), C, D, k9_isocat_2(B, C)))))))),
% 18.85/19.03 inference(quant_inst,[status(thm)],[])).
% 18.85/19.03 tff(414,plain,
% 18.85/19.03 ((~![A: $i] : ((~l1_cat_1(A)) | (~v2_cat_1(A)) | ![B: $i] : ((~l1_cat_1(B)) | (~v2_cat_1(B)) | ![C: $i] : ((~l1_cat_1(C)) | (~v2_cat_1(C)) | ![D: $i] : ((~m2_cat_1(D, A, k11_cat_2(B, C))) | (k12_isocat_2(A, B, C, D) = k2_isocat_1(A, k11_cat_2(B, C), C, D, k9_isocat_2(B, C)))))))) | (~l1_cat_1(A!0)) | (~v2_cat_1(A!0)) | ![B: $i] : ((~l1_cat_1(B)) | (~v2_cat_1(B)) | ![C: $i] : ((~l1_cat_1(C)) | (~v2_cat_1(C)) | ![D: $i] : ((~m2_cat_1(D, A!0, k11_cat_2(B, C))) | (k12_isocat_2(A!0, B, C, D) = k2_isocat_1(A!0, k11_cat_2(B, C), C, D, k9_isocat_2(B, C))))))),
% 18.85/19.03 inference(modus_ponens,[status(thm)],[413, 412])).
% 18.85/19.03 tff(415,plain,
% 18.85/19.03 (![B: $i] : ((~l1_cat_1(B)) | (~v2_cat_1(B)) | ![C: $i] : ((~l1_cat_1(C)) | (~v2_cat_1(C)) | ![D: $i] : ((~m2_cat_1(D, A!0, k11_cat_2(B, C))) | (k12_isocat_2(A!0, B, C, D) = k2_isocat_1(A!0, k11_cat_2(B, C), C, D, k9_isocat_2(B, C))))))),
% 18.85/19.03 inference(unit_resolution,[status(thm)],[414, 45, 44, 411])).
% 18.85/19.03 tff(416,plain,
% 18.85/19.03 (((~![B: $i] : ((~l1_cat_1(B)) | (~v2_cat_1(B)) | ![C: $i] : ((~l1_cat_1(C)) | (~v2_cat_1(C)) | ![D: $i] : ((~m2_cat_1(D, A!0, k11_cat_2(B, C))) | (k12_isocat_2(A!0, B, C, D) = k2_isocat_1(A!0, k11_cat_2(B, C), C, D, k9_isocat_2(B, C))))))) | ((~l1_cat_1(B!1)) | (~v2_cat_1(B!1)) | ![C: $i] : ((~l1_cat_1(C)) | (~v2_cat_1(C)) | ![D: $i] : ((~m2_cat_1(D, A!0, k11_cat_2(B!1, C))) | (k12_isocat_2(A!0, B!1, C, D) = k2_isocat_1(A!0, k11_cat_2(B!1, C), C, D, k9_isocat_2(B!1, C))))))) <=> ((~![B: $i] : ((~l1_cat_1(B)) | (~v2_cat_1(B)) | ![C: $i] : ((~l1_cat_1(C)) | (~v2_cat_1(C)) | ![D: $i] : ((~m2_cat_1(D, A!0, k11_cat_2(B, C))) | (k12_isocat_2(A!0, B, C, D) = k2_isocat_1(A!0, k11_cat_2(B, C), C, D, k9_isocat_2(B, C))))))) | (~l1_cat_1(B!1)) | (~v2_cat_1(B!1)) | ![C: $i] : ((~l1_cat_1(C)) | (~v2_cat_1(C)) | ![D: $i] : ((~m2_cat_1(D, A!0, k11_cat_2(B!1, C))) | (k12_isocat_2(A!0, B!1, C, D) = k2_isocat_1(A!0, k11_cat_2(B!1, C), C, D, k9_isocat_2(B!1, C))))))),
% 18.85/19.03 inference(rewrite,[status(thm)],[])).
% 18.85/19.03 tff(417,plain,
% 18.85/19.03 ((~![B: $i] : ((~l1_cat_1(B)) | (~v2_cat_1(B)) | ![C: $i] : ((~l1_cat_1(C)) | (~v2_cat_1(C)) | ![D: $i] : ((~m2_cat_1(D, A!0, k11_cat_2(B, C))) | (k12_isocat_2(A!0, B, C, D) = k2_isocat_1(A!0, k11_cat_2(B, C), C, D, k9_isocat_2(B, C))))))) | ((~l1_cat_1(B!1)) | (~v2_cat_1(B!1)) | ![C: $i] : ((~l1_cat_1(C)) | (~v2_cat_1(C)) | ![D: $i] : ((~m2_cat_1(D, A!0, k11_cat_2(B!1, C))) | (k12_isocat_2(A!0, B!1, C, D) = k2_isocat_1(A!0, k11_cat_2(B!1, C), C, D, k9_isocat_2(B!1, C))))))),
% 18.85/19.03 inference(quant_inst,[status(thm)],[])).
% 18.85/19.03 tff(418,plain,
% 18.85/19.03 ((~![B: $i] : ((~l1_cat_1(B)) | (~v2_cat_1(B)) | ![C: $i] : ((~l1_cat_1(C)) | (~v2_cat_1(C)) | ![D: $i] : ((~m2_cat_1(D, A!0, k11_cat_2(B, C))) | (k12_isocat_2(A!0, B, C, D) = k2_isocat_1(A!0, k11_cat_2(B, C), C, D, k9_isocat_2(B, C))))))) | (~l1_cat_1(B!1)) | (~v2_cat_1(B!1)) | ![C: $i] : ((~l1_cat_1(C)) | (~v2_cat_1(C)) | ![D: $i] : ((~m2_cat_1(D, A!0, k11_cat_2(B!1, C))) | (k12_isocat_2(A!0, B!1, C, D) = k2_isocat_1(A!0, k11_cat_2(B!1, C), C, D, k9_isocat_2(B!1, C)))))),
% 18.85/19.03 inference(modus_ponens,[status(thm)],[417, 416])).
% 18.85/19.03 tff(419,plain,
% 18.85/19.03 (![C: $i] : ((~l1_cat_1(C)) | (~v2_cat_1(C)) | ![D: $i] : ((~m2_cat_1(D, A!0, k11_cat_2(B!1, C))) | (k12_isocat_2(A!0, B!1, C, D) = k2_isocat_1(A!0, k11_cat_2(B!1, C), C, D, k9_isocat_2(B!1, C)))))),
% 18.85/19.03 inference(unit_resolution,[status(thm)],[418, 51, 50, 415])).
% 18.85/19.03 tff(420,plain,
% 18.85/19.03 (((~![C: $i] : ((~l1_cat_1(C)) | (~v2_cat_1(C)) | ![D: $i] : ((~m2_cat_1(D, A!0, k11_cat_2(B!1, C))) | (k12_isocat_2(A!0, B!1, C, D) = k2_isocat_1(A!0, k11_cat_2(B!1, C), C, D, k9_isocat_2(B!1, C)))))) | ((~l1_cat_1(C!2)) | (~v2_cat_1(C!2)) | ![D: $i] : ((~m2_cat_1(D, A!0, k11_cat_2(B!1, C!2))) | (k12_isocat_2(A!0, B!1, C!2, D) = k2_isocat_1(A!0, k11_cat_2(B!1, C!2), C!2, D, k9_isocat_2(B!1, C!2)))))) <=> ((~![C: $i] : ((~l1_cat_1(C)) | (~v2_cat_1(C)) | ![D: $i] : ((~m2_cat_1(D, A!0, k11_cat_2(B!1, C))) | (k12_isocat_2(A!0, B!1, C, D) = k2_isocat_1(A!0, k11_cat_2(B!1, C), C, D, k9_isocat_2(B!1, C)))))) | (~l1_cat_1(C!2)) | (~v2_cat_1(C!2)) | ![D: $i] : ((~m2_cat_1(D, A!0, k11_cat_2(B!1, C!2))) | (k12_isocat_2(A!0, B!1, C!2, D) = k2_isocat_1(A!0, k11_cat_2(B!1, C!2), C!2, D, k9_isocat_2(B!1, C!2)))))),
% 18.85/19.03 inference(rewrite,[status(thm)],[])).
% 18.85/19.03 tff(421,plain,
% 18.85/19.03 ((~![C: $i] : ((~l1_cat_1(C)) | (~v2_cat_1(C)) | ![D: $i] : ((~m2_cat_1(D, A!0, k11_cat_2(B!1, C))) | (k12_isocat_2(A!0, B!1, C, D) = k2_isocat_1(A!0, k11_cat_2(B!1, C), C, D, k9_isocat_2(B!1, C)))))) | ((~l1_cat_1(C!2)) | (~v2_cat_1(C!2)) | ![D: $i] : ((~m2_cat_1(D, A!0, k11_cat_2(B!1, C!2))) | (k12_isocat_2(A!0, B!1, C!2, D) = k2_isocat_1(A!0, k11_cat_2(B!1, C!2), C!2, D, k9_isocat_2(B!1, C!2)))))),
% 18.85/19.03 inference(quant_inst,[status(thm)],[])).
% 18.85/19.03 tff(422,plain,
% 18.85/19.03 ((~![C: $i] : ((~l1_cat_1(C)) | (~v2_cat_1(C)) | ![D: $i] : ((~m2_cat_1(D, A!0, k11_cat_2(B!1, C))) | (k12_isocat_2(A!0, B!1, C, D) = k2_isocat_1(A!0, k11_cat_2(B!1, C), C, D, k9_isocat_2(B!1, C)))))) | (~l1_cat_1(C!2)) | (~v2_cat_1(C!2)) | ![D: $i] : ((~m2_cat_1(D, A!0, k11_cat_2(B!1, C!2))) | (k12_isocat_2(A!0, B!1, C!2, D) = k2_isocat_1(A!0, k11_cat_2(B!1, C!2), C!2, D, k9_isocat_2(B!1, C!2))))),
% 18.85/19.03 inference(modus_ponens,[status(thm)],[421, 420])).
% 18.85/19.03 tff(423,plain,
% 18.85/19.03 (![D: $i] : ((~m2_cat_1(D, A!0, k11_cat_2(B!1, C!2))) | (k12_isocat_2(A!0, B!1, C!2, D) = k2_isocat_1(A!0, k11_cat_2(B!1, C!2), C!2, D, k9_isocat_2(B!1, C!2))))),
% 18.85/19.03 inference(unit_resolution,[status(thm)],[422, 57, 56, 419])).
% 18.85/19.03 tff(424,plain,
% 18.85/19.03 (((~![D: $i] : ((~m2_cat_1(D, A!0, k11_cat_2(B!1, C!2))) | (k12_isocat_2(A!0, B!1, C!2, D) = k2_isocat_1(A!0, k11_cat_2(B!1, C!2), C!2, D, k9_isocat_2(B!1, C!2))))) | ((~m2_cat_1(F!5, A!0, k11_cat_2(B!1, C!2))) | (k12_isocat_2(A!0, B!1, C!2, F!5) = k2_isocat_1(A!0, k11_cat_2(B!1, C!2), C!2, F!5, k9_isocat_2(B!1, C!2))))) <=> ((~![D: $i] : ((~m2_cat_1(D, A!0, k11_cat_2(B!1, C!2))) | (k12_isocat_2(A!0, B!1, C!2, D) = k2_isocat_1(A!0, k11_cat_2(B!1, C!2), C!2, D, k9_isocat_2(B!1, C!2))))) | (~m2_cat_1(F!5, A!0, k11_cat_2(B!1, C!2))) | (k12_isocat_2(A!0, B!1, C!2, F!5) = k2_isocat_1(A!0, k11_cat_2(B!1, C!2), C!2, F!5, k9_isocat_2(B!1, C!2))))),
% 18.85/19.03 inference(rewrite,[status(thm)],[])).
% 18.85/19.03 tff(425,plain,
% 18.85/19.03 ((~![D: $i] : ((~m2_cat_1(D, A!0, k11_cat_2(B!1, C!2))) | (k12_isocat_2(A!0, B!1, C!2, D) = k2_isocat_1(A!0, k11_cat_2(B!1, C!2), C!2, D, k9_isocat_2(B!1, C!2))))) | ((~m2_cat_1(F!5, A!0, k11_cat_2(B!1, C!2))) | (k12_isocat_2(A!0, B!1, C!2, F!5) = k2_isocat_1(A!0, k11_cat_2(B!1, C!2), C!2, F!5, k9_isocat_2(B!1, C!2))))),
% 18.85/19.03 inference(quant_inst,[status(thm)],[])).
% 18.85/19.03 tff(426,plain,
% 18.85/19.03 ((~![D: $i] : ((~m2_cat_1(D, A!0, k11_cat_2(B!1, C!2))) | (k12_isocat_2(A!0, B!1, C!2, D) = k2_isocat_1(A!0, k11_cat_2(B!1, C!2), C!2, D, k9_isocat_2(B!1, C!2))))) | (~m2_cat_1(F!5, A!0, k11_cat_2(B!1, C!2))) | (k12_isocat_2(A!0, B!1, C!2, F!5) = k2_isocat_1(A!0, k11_cat_2(B!1, C!2), C!2, F!5, k9_isocat_2(B!1, C!2)))),
% 18.85/19.03 inference(modus_ponens,[status(thm)],[425, 424])).
% 18.85/19.03 tff(427,plain,
% 18.85/19.03 (k12_isocat_2(A!0, B!1, C!2, F!5) = k2_isocat_1(A!0, k11_cat_2(B!1, C!2), C!2, F!5, k9_isocat_2(B!1, C!2))),
% 18.85/19.03 inference(unit_resolution,[status(thm)],[426, 67, 423])).
% 18.85/19.03 tff(428,plain,
% 18.85/19.03 (k2_isocat_1(A!0, k11_cat_2(B!1, C!2), C!2, F!5, k9_isocat_2(B!1, C!2)) = k12_isocat_2(A!0, B!1, C!2, F!5)),
% 18.85/19.03 inference(symmetry,[status(thm)],[427])).
% 18.85/19.03 tff(429,plain,
% 18.85/19.03 (k2_isocat_1(A!0, k11_cat_2(B!1, C!2), C!2, F!5, k17_cat_2(B!1, C!2)) = k2_isocat_1(A!0, k11_cat_2(B!1, C!2), C!2, F!5, k9_isocat_2(B!1, C!2))),
% 18.85/19.03 inference(monotonicity,[status(thm)],[375])).
% 18.85/19.03 tff(430,plain,
% 18.85/19.03 (k2_isocat_1(A!0, k11_cat_2(B!1, C!2), C!2, F!5, k17_cat_2(B!1, C!2)) = k12_isocat_2(A!0, B!1, C!2, F!5)),
% 18.85/19.03 inference(transitivity,[status(thm)],[429, 428])).
% 18.85/19.03 tff(431,plain,
% 18.85/19.03 (((~![D: $i] : ((~m2_cat_1(D, A!0, k11_cat_2(B!1, C!2))) | (k12_isocat_2(A!0, B!1, C!2, D) = k2_isocat_1(A!0, k11_cat_2(B!1, C!2), C!2, D, k9_isocat_2(B!1, C!2))))) | ((~m2_cat_1(E!4, A!0, k11_cat_2(B!1, C!2))) | (k12_isocat_2(A!0, B!1, C!2, E!4) = k2_isocat_1(A!0, k11_cat_2(B!1, C!2), C!2, E!4, k9_isocat_2(B!1, C!2))))) <=> ((~![D: $i] : ((~m2_cat_1(D, A!0, k11_cat_2(B!1, C!2))) | (k12_isocat_2(A!0, B!1, C!2, D) = k2_isocat_1(A!0, k11_cat_2(B!1, C!2), C!2, D, k9_isocat_2(B!1, C!2))))) | (~m2_cat_1(E!4, A!0, k11_cat_2(B!1, C!2))) | (k12_isocat_2(A!0, B!1, C!2, E!4) = k2_isocat_1(A!0, k11_cat_2(B!1, C!2), C!2, E!4, k9_isocat_2(B!1, C!2))))),
% 18.85/19.03 inference(rewrite,[status(thm)],[])).
% 18.85/19.03 tff(432,plain,
% 18.85/19.03 ((~![D: $i] : ((~m2_cat_1(D, A!0, k11_cat_2(B!1, C!2))) | (k12_isocat_2(A!0, B!1, C!2, D) = k2_isocat_1(A!0, k11_cat_2(B!1, C!2), C!2, D, k9_isocat_2(B!1, C!2))))) | ((~m2_cat_1(E!4, A!0, k11_cat_2(B!1, C!2))) | (k12_isocat_2(A!0, B!1, C!2, E!4) = k2_isocat_1(A!0, k11_cat_2(B!1, C!2), C!2, E!4, k9_isocat_2(B!1, C!2))))),
% 18.85/19.03 inference(quant_inst,[status(thm)],[])).
% 18.85/19.03 tff(433,plain,
% 18.85/19.03 ((~![D: $i] : ((~m2_cat_1(D, A!0, k11_cat_2(B!1, C!2))) | (k12_isocat_2(A!0, B!1, C!2, D) = k2_isocat_1(A!0, k11_cat_2(B!1, C!2), C!2, D, k9_isocat_2(B!1, C!2))))) | (~m2_cat_1(E!4, A!0, k11_cat_2(B!1, C!2))) | (k12_isocat_2(A!0, B!1, C!2, E!4) = k2_isocat_1(A!0, k11_cat_2(B!1, C!2), C!2, E!4, k9_isocat_2(B!1, C!2)))),
% 18.85/19.03 inference(modus_ponens,[status(thm)],[432, 431])).
% 18.85/19.03 tff(434,plain,
% 18.85/19.03 (k12_isocat_2(A!0, B!1, C!2, E!4) = k2_isocat_1(A!0, k11_cat_2(B!1, C!2), C!2, E!4, k9_isocat_2(B!1, C!2))),
% 18.85/19.03 inference(unit_resolution,[status(thm)],[433, 62, 423])).
% 18.85/19.03 tff(435,plain,
% 18.85/19.03 (k2_isocat_1(A!0, k11_cat_2(B!1, C!2), C!2, E!4, k9_isocat_2(B!1, C!2)) = k12_isocat_2(A!0, B!1, C!2, E!4)),
% 18.85/19.03 inference(symmetry,[status(thm)],[434])).
% 18.85/19.03 tff(436,plain,
% 18.85/19.03 (k2_isocat_1(A!0, k11_cat_2(B!1, C!2), C!2, E!4, k17_cat_2(B!1, C!2)) = k2_isocat_1(A!0, k11_cat_2(B!1, C!2), C!2, E!4, k9_isocat_2(B!1, C!2))),
% 18.85/19.03 inference(monotonicity,[status(thm)],[375])).
% 18.85/19.03 tff(437,plain,
% 18.85/19.03 (k2_isocat_1(A!0, k11_cat_2(B!1, C!2), C!2, E!4, k17_cat_2(B!1, C!2)) = k12_isocat_2(A!0, B!1, C!2, E!4)),
% 18.85/19.04 inference(transitivity,[status(thm)],[436, 435])).
% 18.85/19.04 tff(438,plain,
% 18.85/19.04 (((~![D: $i] : ((~m2_cat_1(D, A!0, k11_cat_2(B!1, C!2))) | (k12_isocat_2(A!0, B!1, C!2, D) = k2_isocat_1(A!0, k11_cat_2(B!1, C!2), C!2, D, k9_isocat_2(B!1, C!2))))) | ((~m2_cat_1(D!3, A!0, k11_cat_2(B!1, C!2))) | (k12_isocat_2(A!0, B!1, C!2, D!3) = k2_isocat_1(A!0, k11_cat_2(B!1, C!2), C!2, D!3, k9_isocat_2(B!1, C!2))))) <=> ((~![D: $i] : ((~m2_cat_1(D, A!0, k11_cat_2(B!1, C!2))) | (k12_isocat_2(A!0, B!1, C!2, D) = k2_isocat_1(A!0, k11_cat_2(B!1, C!2), C!2, D, k9_isocat_2(B!1, C!2))))) | (~m2_cat_1(D!3, A!0, k11_cat_2(B!1, C!2))) | (k12_isocat_2(A!0, B!1, C!2, D!3) = k2_isocat_1(A!0, k11_cat_2(B!1, C!2), C!2, D!3, k9_isocat_2(B!1, C!2))))),
% 18.85/19.04 inference(rewrite,[status(thm)],[])).
% 18.85/19.04 tff(439,plain,
% 18.85/19.04 ((~![D: $i] : ((~m2_cat_1(D, A!0, k11_cat_2(B!1, C!2))) | (k12_isocat_2(A!0, B!1, C!2, D) = k2_isocat_1(A!0, k11_cat_2(B!1, C!2), C!2, D, k9_isocat_2(B!1, C!2))))) | ((~m2_cat_1(D!3, A!0, k11_cat_2(B!1, C!2))) | (k12_isocat_2(A!0, B!1, C!2, D!3) = k2_isocat_1(A!0, k11_cat_2(B!1, C!2), C!2, D!3, k9_isocat_2(B!1, C!2))))),
% 18.85/19.04 inference(quant_inst,[status(thm)],[])).
% 18.85/19.04 tff(440,plain,
% 18.85/19.04 ((~![D: $i] : ((~m2_cat_1(D, A!0, k11_cat_2(B!1, C!2))) | (k12_isocat_2(A!0, B!1, C!2, D) = k2_isocat_1(A!0, k11_cat_2(B!1, C!2), C!2, D, k9_isocat_2(B!1, C!2))))) | (~m2_cat_1(D!3, A!0, k11_cat_2(B!1, C!2))) | (k12_isocat_2(A!0, B!1, C!2, D!3) = k2_isocat_1(A!0, k11_cat_2(B!1, C!2), C!2, D!3, k9_isocat_2(B!1, C!2)))),
% 18.85/19.04 inference(modus_ponens,[status(thm)],[439, 438])).
% 18.85/19.04 tff(441,plain,
% 18.85/19.04 (k12_isocat_2(A!0, B!1, C!2, D!3) = k2_isocat_1(A!0, k11_cat_2(B!1, C!2), C!2, D!3, k9_isocat_2(B!1, C!2))),
% 18.85/19.04 inference(unit_resolution,[status(thm)],[440, 102, 423])).
% 18.85/19.04 tff(442,plain,
% 18.85/19.04 (k2_isocat_1(A!0, k11_cat_2(B!1, C!2), C!2, D!3, k9_isocat_2(B!1, C!2)) = k12_isocat_2(A!0, B!1, C!2, D!3)),
% 18.85/19.04 inference(symmetry,[status(thm)],[441])).
% 18.85/19.04 tff(443,plain,
% 18.85/19.04 (k2_isocat_1(A!0, k11_cat_2(B!1, C!2), C!2, D!3, k17_cat_2(B!1, C!2)) = k2_isocat_1(A!0, k11_cat_2(B!1, C!2), C!2, D!3, k9_isocat_2(B!1, C!2))),
% 18.85/19.04 inference(monotonicity,[status(thm)],[375])).
% 18.85/19.04 tff(444,plain,
% 18.85/19.04 (k2_isocat_1(A!0, k11_cat_2(B!1, C!2), C!2, D!3, k17_cat_2(B!1, C!2)) = k12_isocat_2(A!0, B!1, C!2, D!3)),
% 18.85/19.04 inference(transitivity,[status(thm)],[443, 442])).
% 18.85/19.04 tff(445,plain,
% 18.85/19.04 (k8_nattra_1(A!0, C!2, k2_isocat_1(A!0, k11_cat_2(B!1, C!2), C!2, D!3, k17_cat_2(B!1, C!2)), k2_isocat_1(A!0, k11_cat_2(B!1, C!2), C!2, E!4, k17_cat_2(B!1, C!2)), k2_isocat_1(A!0, k11_cat_2(B!1, C!2), C!2, F!5, k17_cat_2(B!1, C!2)), k6_isocat_1(A!0, k11_cat_2(B!1, C!2), C!2, D!3, E!4, G!6, k17_cat_2(B!1, C!2)), k6_isocat_1(A!0, k11_cat_2(B!1, C!2), C!2, E!4, F!5, H!7, k17_cat_2(B!1, C!2))) = k8_nattra_1(A!0, C!2, k12_isocat_2(A!0, B!1, C!2, D!3), k12_isocat_2(A!0, B!1, C!2, E!4), k12_isocat_2(A!0, B!1, C!2, F!5), k14_isocat_2(A!0, B!1, C!2, D!3, E!4, G!6), k14_isocat_2(A!0, B!1, C!2, E!4, F!5, H!7))),
% 18.85/19.04 inference(monotonicity,[status(thm)],[444, 437, 430, 392, 377])).
% 18.85/19.04 tff(446,plain,
% 18.85/19.04 (k8_nattra_1(A!0, C!2, k12_isocat_2(A!0, B!1, C!2, D!3), k12_isocat_2(A!0, B!1, C!2, E!4), k12_isocat_2(A!0, B!1, C!2, F!5), k14_isocat_2(A!0, B!1, C!2, D!3, E!4, G!6), k14_isocat_2(A!0, B!1, C!2, E!4, F!5, H!7)) = k8_nattra_1(A!0, C!2, k2_isocat_1(A!0, k11_cat_2(B!1, C!2), C!2, D!3, k17_cat_2(B!1, C!2)), k2_isocat_1(A!0, k11_cat_2(B!1, C!2), C!2, E!4, k17_cat_2(B!1, C!2)), k2_isocat_1(A!0, k11_cat_2(B!1, C!2), C!2, F!5, k17_cat_2(B!1, C!2)), k6_isocat_1(A!0, k11_cat_2(B!1, C!2), C!2, D!3, E!4, G!6, k17_cat_2(B!1, C!2)), k6_isocat_1(A!0, k11_cat_2(B!1, C!2), C!2, E!4, F!5, H!7, k17_cat_2(B!1, C!2)))),
% 18.85/19.04 inference(symmetry,[status(thm)],[445])).
% 18.85/19.04 tff(447,plain,
% 18.85/19.04 (k6_isocat_1(A!0, k11_cat_2(B!1, C!2), C!2, D!3, F!5, k8_nattra_1(A!0, k11_cat_2(B!1, C!2), D!3, E!4, F!5, G!6, H!7), k17_cat_2(B!1, C!2)) = k6_isocat_1(A!0, k11_cat_2(B!1, C!2), C!2, D!3, F!5, k8_nattra_1(A!0, k11_cat_2(B!1, C!2), D!3, E!4, F!5, G!6, H!7), k9_isocat_2(B!1, C!2))),
% 18.85/19.04 inference(monotonicity,[status(thm)],[375])).
% 18.85/19.04 tff(448,plain,
% 18.85/19.04 (k6_isocat_1(A!0, k11_cat_2(B!1, C!2), C!2, D!3, F!5, k8_nattra_1(A!0, k11_cat_2(B!1, C!2), D!3, E!4, F!5, G!6, H!7), k9_isocat_2(B!1, C!2)) = k6_isocat_1(A!0, k11_cat_2(B!1, C!2), C!2, D!3, F!5, k8_nattra_1(A!0, k11_cat_2(B!1, C!2), D!3, E!4, F!5, G!6, H!7), k17_cat_2(B!1, C!2))),
% 18.88/19.04 inference(symmetry,[status(thm)],[447])).
% 18.88/19.04 tff(449,plain,
% 18.88/19.04 (((~![E: $i] : ((~m2_cat_1(E, A!0, k11_cat_2(B!1, C!2))) | ![F: $i] : ((~m2_nattra_1(F, A!0, k11_cat_2(B!1, C!2), D!3, E)) | (k14_isocat_2(A!0, B!1, C!2, D!3, E, F) = k6_isocat_1(A!0, k11_cat_2(B!1, C!2), C!2, D!3, E, F, k9_isocat_2(B!1, C!2)))))) | ((~m2_cat_1(F!5, A!0, k11_cat_2(B!1, C!2))) | ![F: $i] : ((~m2_nattra_1(F, A!0, k11_cat_2(B!1, C!2), D!3, F!5)) | (k14_isocat_2(A!0, B!1, C!2, D!3, F!5, F) = k6_isocat_1(A!0, k11_cat_2(B!1, C!2), C!2, D!3, F!5, F, k9_isocat_2(B!1, C!2)))))) <=> ((~![E: $i] : ((~m2_cat_1(E, A!0, k11_cat_2(B!1, C!2))) | ![F: $i] : ((~m2_nattra_1(F, A!0, k11_cat_2(B!1, C!2), D!3, E)) | (k14_isocat_2(A!0, B!1, C!2, D!3, E, F) = k6_isocat_1(A!0, k11_cat_2(B!1, C!2), C!2, D!3, E, F, k9_isocat_2(B!1, C!2)))))) | (~m2_cat_1(F!5, A!0, k11_cat_2(B!1, C!2))) | ![F: $i] : ((~m2_nattra_1(F, A!0, k11_cat_2(B!1, C!2), D!3, F!5)) | (k14_isocat_2(A!0, B!1, C!2, D!3, F!5, F) = k6_isocat_1(A!0, k11_cat_2(B!1, C!2), C!2, D!3, F!5, F, k9_isocat_2(B!1, C!2)))))),
% 18.88/19.04 inference(rewrite,[status(thm)],[])).
% 18.88/19.04 tff(450,plain,
% 18.88/19.04 ((~![E: $i] : ((~m2_cat_1(E, A!0, k11_cat_2(B!1, C!2))) | ![F: $i] : ((~m2_nattra_1(F, A!0, k11_cat_2(B!1, C!2), D!3, E)) | (k14_isocat_2(A!0, B!1, C!2, D!3, E, F) = k6_isocat_1(A!0, k11_cat_2(B!1, C!2), C!2, D!3, E, F, k9_isocat_2(B!1, C!2)))))) | ((~m2_cat_1(F!5, A!0, k11_cat_2(B!1, C!2))) | ![F: $i] : ((~m2_nattra_1(F, A!0, k11_cat_2(B!1, C!2), D!3, F!5)) | (k14_isocat_2(A!0, B!1, C!2, D!3, F!5, F) = k6_isocat_1(A!0, k11_cat_2(B!1, C!2), C!2, D!3, F!5, F, k9_isocat_2(B!1, C!2)))))),
% 18.88/19.04 inference(quant_inst,[status(thm)],[])).
% 18.88/19.04 tff(451,plain,
% 18.88/19.04 ((~![E: $i] : ((~m2_cat_1(E, A!0, k11_cat_2(B!1, C!2))) | ![F: $i] : ((~m2_nattra_1(F, A!0, k11_cat_2(B!1, C!2), D!3, E)) | (k14_isocat_2(A!0, B!1, C!2, D!3, E, F) = k6_isocat_1(A!0, k11_cat_2(B!1, C!2), C!2, D!3, E, F, k9_isocat_2(B!1, C!2)))))) | (~m2_cat_1(F!5, A!0, k11_cat_2(B!1, C!2))) | ![F: $i] : ((~m2_nattra_1(F, A!0, k11_cat_2(B!1, C!2), D!3, F!5)) | (k14_isocat_2(A!0, B!1, C!2, D!3, F!5, F) = k6_isocat_1(A!0, k11_cat_2(B!1, C!2), C!2, D!3, F!5, F, k9_isocat_2(B!1, C!2))))),
% 18.88/19.04 inference(modus_ponens,[status(thm)],[450, 449])).
% 18.88/19.04 tff(452,plain,
% 18.88/19.04 (![F: $i] : ((~m2_nattra_1(F, A!0, k11_cat_2(B!1, C!2), D!3, F!5)) | (k14_isocat_2(A!0, B!1, C!2, D!3, F!5, F) = k6_isocat_1(A!0, k11_cat_2(B!1, C!2), C!2, D!3, F!5, F, k9_isocat_2(B!1, C!2))))),
% 18.88/19.04 inference(unit_resolution,[status(thm)],[451, 67, 381])).
% 18.88/19.04 tff(453,plain,
% 18.88/19.04 (((~![F: $i] : ((~m2_nattra_1(F, A!0, k11_cat_2(B!1, C!2), D!3, F!5)) | (k14_isocat_2(A!0, B!1, C!2, D!3, F!5, F) = k6_isocat_1(A!0, k11_cat_2(B!1, C!2), C!2, D!3, F!5, F, k9_isocat_2(B!1, C!2))))) | ((~m2_nattra_1(k8_nattra_1(A!0, k11_cat_2(B!1, C!2), D!3, E!4, F!5, G!6, H!7), A!0, k11_cat_2(B!1, C!2), D!3, F!5)) | (k14_isocat_2(A!0, B!1, C!2, D!3, F!5, k8_nattra_1(A!0, k11_cat_2(B!1, C!2), D!3, E!4, F!5, G!6, H!7)) = k6_isocat_1(A!0, k11_cat_2(B!1, C!2), C!2, D!3, F!5, k8_nattra_1(A!0, k11_cat_2(B!1, C!2), D!3, E!4, F!5, G!6, H!7), k9_isocat_2(B!1, C!2))))) <=> ((~![F: $i] : ((~m2_nattra_1(F, A!0, k11_cat_2(B!1, C!2), D!3, F!5)) | (k14_isocat_2(A!0, B!1, C!2, D!3, F!5, F) = k6_isocat_1(A!0, k11_cat_2(B!1, C!2), C!2, D!3, F!5, F, k9_isocat_2(B!1, C!2))))) | (~m2_nattra_1(k8_nattra_1(A!0, k11_cat_2(B!1, C!2), D!3, E!4, F!5, G!6, H!7), A!0, k11_cat_2(B!1, C!2), D!3, F!5)) | (k14_isocat_2(A!0, B!1, C!2, D!3, F!5, k8_nattra_1(A!0, k11_cat_2(B!1, C!2), D!3, E!4, F!5, G!6, H!7)) = k6_isocat_1(A!0, k11_cat_2(B!1, C!2), C!2, D!3, F!5, k8_nattra_1(A!0, k11_cat_2(B!1, C!2), D!3, E!4, F!5, G!6, H!7), k9_isocat_2(B!1, C!2))))),
% 18.88/19.04 inference(rewrite,[status(thm)],[])).
% 18.88/19.04 tff(454,plain,
% 18.88/19.04 ((~![F: $i] : ((~m2_nattra_1(F, A!0, k11_cat_2(B!1, C!2), D!3, F!5)) | (k14_isocat_2(A!0, B!1, C!2, D!3, F!5, F) = k6_isocat_1(A!0, k11_cat_2(B!1, C!2), C!2, D!3, F!5, F, k9_isocat_2(B!1, C!2))))) | ((~m2_nattra_1(k8_nattra_1(A!0, k11_cat_2(B!1, C!2), D!3, E!4, F!5, G!6, H!7), A!0, k11_cat_2(B!1, C!2), D!3, F!5)) | (k14_isocat_2(A!0, B!1, C!2, D!3, F!5, k8_nattra_1(A!0, k11_cat_2(B!1, C!2), D!3, E!4, F!5, G!6, H!7)) = k6_isocat_1(A!0, k11_cat_2(B!1, C!2), C!2, D!3, F!5, k8_nattra_1(A!0, k11_cat_2(B!1, C!2), D!3, E!4, F!5, G!6, H!7), k9_isocat_2(B!1, C!2))))),
% 18.88/19.04 inference(quant_inst,[status(thm)],[])).
% 18.88/19.04 tff(455,plain,
% 18.88/19.04 ((~![F: $i] : ((~m2_nattra_1(F, A!0, k11_cat_2(B!1, C!2), D!3, F!5)) | (k14_isocat_2(A!0, B!1, C!2, D!3, F!5, F) = k6_isocat_1(A!0, k11_cat_2(B!1, C!2), C!2, D!3, F!5, F, k9_isocat_2(B!1, C!2))))) | (~m2_nattra_1(k8_nattra_1(A!0, k11_cat_2(B!1, C!2), D!3, E!4, F!5, G!6, H!7), A!0, k11_cat_2(B!1, C!2), D!3, F!5)) | (k14_isocat_2(A!0, B!1, C!2, D!3, F!5, k8_nattra_1(A!0, k11_cat_2(B!1, C!2), D!3, E!4, F!5, G!6, H!7)) = k6_isocat_1(A!0, k11_cat_2(B!1, C!2), C!2, D!3, F!5, k8_nattra_1(A!0, k11_cat_2(B!1, C!2), D!3, E!4, F!5, G!6, H!7), k9_isocat_2(B!1, C!2)))),
% 18.88/19.04 inference(modus_ponens,[status(thm)],[454, 453])).
% 18.88/19.04 tff(456,plain,
% 18.88/19.04 (k14_isocat_2(A!0, B!1, C!2, D!3, F!5, k8_nattra_1(A!0, k11_cat_2(B!1, C!2), D!3, E!4, F!5, G!6, H!7)) = k6_isocat_1(A!0, k11_cat_2(B!1, C!2), C!2, D!3, F!5, k8_nattra_1(A!0, k11_cat_2(B!1, C!2), D!3, E!4, F!5, G!6, H!7), k9_isocat_2(B!1, C!2))),
% 18.88/19.04 inference(unit_resolution,[status(thm)],[455, 452, 215])).
% 18.88/19.04 tff(457,plain,
% 18.88/19.04 (k14_isocat_2(A!0, B!1, C!2, D!3, F!5, k8_nattra_1(A!0, k11_cat_2(B!1, C!2), D!3, E!4, F!5, G!6, H!7)) = k6_isocat_1(A!0, k11_cat_2(B!1, C!2), C!2, D!3, F!5, k8_nattra_1(A!0, k11_cat_2(B!1, C!2), D!3, E!4, F!5, G!6, H!7), k17_cat_2(B!1, C!2))),
% 18.88/19.04 inference(transitivity,[status(thm)],[456, 448])).
% 18.88/19.04 tff(458,plain,
% 18.88/19.04 (r4_nattra_1(u1_cat_1(A!0), u2_cat_1(C!2), u1_cat_1(A!0), u2_cat_1(C!2), k14_isocat_2(A!0, B!1, C!2, D!3, F!5, k8_nattra_1(A!0, k11_cat_2(B!1, C!2), D!3, E!4, F!5, G!6, H!7)), k8_nattra_1(A!0, C!2, k12_isocat_2(A!0, B!1, C!2, D!3), k12_isocat_2(A!0, B!1, C!2, E!4), k12_isocat_2(A!0, B!1, C!2, F!5), k14_isocat_2(A!0, B!1, C!2, D!3, E!4, G!6), k14_isocat_2(A!0, B!1, C!2, E!4, F!5, H!7))) <=> r4_nattra_1(u1_cat_1(A!0), u2_cat_1(C!2), u1_cat_1(A!0), u2_cat_1(C!2), k6_isocat_1(A!0, k11_cat_2(B!1, C!2), C!2, D!3, F!5, k8_nattra_1(A!0, k11_cat_2(B!1, C!2), D!3, E!4, F!5, G!6, H!7), k17_cat_2(B!1, C!2)), k8_nattra_1(A!0, C!2, k2_isocat_1(A!0, k11_cat_2(B!1, C!2), C!2, D!3, k17_cat_2(B!1, C!2)), k2_isocat_1(A!0, k11_cat_2(B!1, C!2), C!2, E!4, k17_cat_2(B!1, C!2)), k2_isocat_1(A!0, k11_cat_2(B!1, C!2), C!2, F!5, k17_cat_2(B!1, C!2)), k6_isocat_1(A!0, k11_cat_2(B!1, C!2), C!2, D!3, E!4, G!6, k17_cat_2(B!1, C!2)), k6_isocat_1(A!0, k11_cat_2(B!1, C!2), C!2, E!4, F!5, H!7, k17_cat_2(B!1, C!2))))),
% 18.88/19.04 inference(monotonicity,[status(thm)],[457, 446])).
% 18.88/19.04 tff(459,plain,
% 18.88/19.04 (r4_nattra_1(u1_cat_1(A!0), u2_cat_1(C!2), u1_cat_1(A!0), u2_cat_1(C!2), k6_isocat_1(A!0, k11_cat_2(B!1, C!2), C!2, D!3, F!5, k8_nattra_1(A!0, k11_cat_2(B!1, C!2), D!3, E!4, F!5, G!6, H!7), k17_cat_2(B!1, C!2)), k8_nattra_1(A!0, C!2, k2_isocat_1(A!0, k11_cat_2(B!1, C!2), C!2, D!3, k17_cat_2(B!1, C!2)), k2_isocat_1(A!0, k11_cat_2(B!1, C!2), C!2, E!4, k17_cat_2(B!1, C!2)), k2_isocat_1(A!0, k11_cat_2(B!1, C!2), C!2, F!5, k17_cat_2(B!1, C!2)), k6_isocat_1(A!0, k11_cat_2(B!1, C!2), C!2, D!3, E!4, G!6, k17_cat_2(B!1, C!2)), k6_isocat_1(A!0, k11_cat_2(B!1, C!2), C!2, E!4, F!5, H!7, k17_cat_2(B!1, C!2)))) <=> r4_nattra_1(u1_cat_1(A!0), u2_cat_1(C!2), u1_cat_1(A!0), u2_cat_1(C!2), k14_isocat_2(A!0, B!1, C!2, D!3, F!5, k8_nattra_1(A!0, k11_cat_2(B!1, C!2), D!3, E!4, F!5, G!6, H!7)), k8_nattra_1(A!0, C!2, k12_isocat_2(A!0, B!1, C!2, D!3), k12_isocat_2(A!0, B!1, C!2, E!4), k12_isocat_2(A!0, B!1, C!2, F!5), k14_isocat_2(A!0, B!1, C!2, D!3, E!4, G!6), k14_isocat_2(A!0, B!1, C!2, E!4, F!5, H!7)))),
% 18.88/19.04 inference(symmetry,[status(thm)],[458])).
% 18.88/19.04 tff(460,plain,
% 18.88/19.04 (((~![A: $i] : ((~l1_cat_1(A)) | (~v2_cat_1(A)) | ![B: $i] : ((~l1_cat_1(B)) | (~v2_cat_1(B)) | ![C: $i] : ((~l1_cat_1(C)) | (~v2_cat_1(C)) | ![D: $i] : ((~m2_cat_1(D, B, C)) | ![E: $i] : ((~m2_cat_1(E, B, C)) | ![F: $i] : ((~m2_cat_1(F, B, C)) | ![G: $i] : ((~m2_cat_1(G, C, A)) | ![H: $i] : ((~m2_nattra_1(H, B, C, D, E)) | ![I: $i] : (r4_nattra_1(u1_cat_1(B), u2_cat_1(A), u1_cat_1(B), u2_cat_1(A), k6_isocat_1(B, C, A, D, F, k8_nattra_1(B, C, D, E, F, H, I), G), k8_nattra_1(B, A, k2_isocat_1(B, C, A, D, G), k2_isocat_1(B, C, A, E, G), k2_isocat_1(B, C, A, F, G), k6_isocat_1(B, C, A, D, E, H, G), k6_isocat_1(B, C, A, E, F, I, G))) | (~m2_nattra_1(I, B, C, E, F)) | (~r2_nattra_1(B, C, D, E)) | (~r2_nattra_1(B, C, E, F)))))))))))) | ((~l1_cat_1(C!2)) | (~v2_cat_1(C!2)) | ![B: $i] : ((~l1_cat_1(B)) | (~v2_cat_1(B)) | ![C: $i] : ((~l1_cat_1(C)) | (~v2_cat_1(C)) | ![D: $i] : ((~m2_cat_1(D, B, C)) | ![E: $i] : ((~m2_cat_1(E, B, C)) | ![F: $i] : ((~m2_cat_1(F, B, C)) | ![G: $i] : ((~m2_cat_1(G, C, C!2)) | ![H: $i] : ((~m2_nattra_1(H, B, C, D, E)) | ![I: $i] : ((~m2_nattra_1(I, B, C, E, F)) | (~r2_nattra_1(B, C, D, E)) | (~r2_nattra_1(B, C, E, F)) | r4_nattra_1(u1_cat_1(B), u2_cat_1(C!2), u1_cat_1(B), u2_cat_1(C!2), k6_isocat_1(B, C, C!2, D, F, k8_nattra_1(B, C, D, E, F, H, I), G), k8_nattra_1(B, C!2, k2_isocat_1(B, C, C!2, D, G), k2_isocat_1(B, C, C!2, E, G), k2_isocat_1(B, C, C!2, F, G), k6_isocat_1(B, C, C!2, D, E, H, G), k6_isocat_1(B, C, C!2, E, F, I, G))))))))))))) <=> ((~![A: $i] : ((~l1_cat_1(A)) | (~v2_cat_1(A)) | ![B: $i] : ((~l1_cat_1(B)) | (~v2_cat_1(B)) | ![C: $i] : ((~l1_cat_1(C)) | (~v2_cat_1(C)) | ![D: $i] : ((~m2_cat_1(D, B, C)) | ![E: $i] : ((~m2_cat_1(E, B, C)) | ![F: $i] : ((~m2_cat_1(F, B, C)) | ![G: $i] : ((~m2_cat_1(G, C, A)) | ![H: $i] : ((~m2_nattra_1(H, B, C, D, E)) | ![I: $i] : (r4_nattra_1(u1_cat_1(B), u2_cat_1(A), u1_cat_1(B), u2_cat_1(A), k6_isocat_1(B, C, A, D, F, k8_nattra_1(B, C, D, E, F, H, I), G), k8_nattra_1(B, A, k2_isocat_1(B, C, A, D, G), k2_isocat_1(B, C, A, E, G), k2_isocat_1(B, C, A, F, G), k6_isocat_1(B, C, A, D, E, H, G), k6_isocat_1(B, C, A, E, F, I, G))) | (~m2_nattra_1(I, B, C, E, F)) | (~r2_nattra_1(B, C, D, E)) | (~r2_nattra_1(B, C, E, F)))))))))))) | (~l1_cat_1(C!2)) | (~v2_cat_1(C!2)) | ![B: $i] : ((~l1_cat_1(B)) | (~v2_cat_1(B)) | ![C: $i] : ((~l1_cat_1(C)) | (~v2_cat_1(C)) | ![D: $i] : ((~m2_cat_1(D, B, C)) | ![E: $i] : ((~m2_cat_1(E, B, C)) | ![F: $i] : ((~m2_cat_1(F, B, C)) | ![G: $i] : ((~m2_cat_1(G, C, C!2)) | ![H: $i] : ((~m2_nattra_1(H, B, C, D, E)) | ![I: $i] : ((~m2_nattra_1(I, B, C, E, F)) | (~r2_nattra_1(B, C, D, E)) | (~r2_nattra_1(B, C, E, F)) | r4_nattra_1(u1_cat_1(B), u2_cat_1(C!2), u1_cat_1(B), u2_cat_1(C!2), k6_isocat_1(B, C, C!2, D, F, k8_nattra_1(B, C, D, E, F, H, I), G), k8_nattra_1(B, C!2, k2_isocat_1(B, C, C!2, D, G), k2_isocat_1(B, C, C!2, E, G), k2_isocat_1(B, C, C!2, F, G), k6_isocat_1(B, C, C!2, D, E, H, G), k6_isocat_1(B, C, C!2, E, F, I, G))))))))))))),
% 18.88/19.04 inference(rewrite,[status(thm)],[])).
% 18.88/19.04 tff(461,plain,
% 18.88/19.04 (((~l1_cat_1(C!2)) | (~v2_cat_1(C!2)) | ![B: $i] : ((~l1_cat_1(B)) | (~v2_cat_1(B)) | ![C: $i] : ((~l1_cat_1(C)) | (~v2_cat_1(C)) | ![D: $i] : ((~m2_cat_1(D, B, C)) | ![E: $i] : ((~m2_cat_1(E, B, C)) | ![F: $i] : ((~m2_cat_1(F, B, C)) | ![G: $i] : ((~m2_cat_1(G, C, C!2)) | ![H: $i] : ((~m2_nattra_1(H, B, C, D, E)) | ![I: $i] : (r4_nattra_1(u1_cat_1(B), u2_cat_1(C!2), u1_cat_1(B), u2_cat_1(C!2), k6_isocat_1(B, C, C!2, D, F, k8_nattra_1(B, C, D, E, F, H, I), G), k8_nattra_1(B, C!2, k2_isocat_1(B, C, C!2, D, G), k2_isocat_1(B, C, C!2, E, G), k2_isocat_1(B, C, C!2, F, G), k6_isocat_1(B, C, C!2, D, E, H, G), k6_isocat_1(B, C, C!2, E, F, I, G))) | (~m2_nattra_1(I, B, C, E, F)) | (~r2_nattra_1(B, C, D, E)) | (~r2_nattra_1(B, C, E, F))))))))))) <=> ((~l1_cat_1(C!2)) | (~v2_cat_1(C!2)) | ![B: $i] : ((~l1_cat_1(B)) | (~v2_cat_1(B)) | ![C: $i] : ((~l1_cat_1(C)) | (~v2_cat_1(C)) | ![D: $i] : ((~m2_cat_1(D, B, C)) | ![E: $i] : ((~m2_cat_1(E, B, C)) | ![F: $i] : ((~m2_cat_1(F, B, C)) | ![G: $i] : ((~m2_cat_1(G, C, C!2)) | ![H: $i] : ((~m2_nattra_1(H, B, C, D, E)) | ![I: $i] : ((~m2_nattra_1(I, B, C, E, F)) | (~r2_nattra_1(B, C, D, E)) | (~r2_nattra_1(B, C, E, F)) | r4_nattra_1(u1_cat_1(B), u2_cat_1(C!2), u1_cat_1(B), u2_cat_1(C!2), k6_isocat_1(B, C, C!2, D, F, k8_nattra_1(B, C, D, E, F, H, I), G), k8_nattra_1(B, C!2, k2_isocat_1(B, C, C!2, D, G), k2_isocat_1(B, C, C!2, E, G), k2_isocat_1(B, C, C!2, F, G), k6_isocat_1(B, C, C!2, D, E, H, G), k6_isocat_1(B, C, C!2, E, F, I, G))))))))))))),
% 18.88/19.04 inference(rewrite,[status(thm)],[])).
% 18.88/19.04 tff(462,plain,
% 18.88/19.04 (((~![A: $i] : ((~l1_cat_1(A)) | (~v2_cat_1(A)) | ![B: $i] : ((~l1_cat_1(B)) | (~v2_cat_1(B)) | ![C: $i] : ((~l1_cat_1(C)) | (~v2_cat_1(C)) | ![D: $i] : ((~m2_cat_1(D, B, C)) | ![E: $i] : ((~m2_cat_1(E, B, C)) | ![F: $i] : ((~m2_cat_1(F, B, C)) | ![G: $i] : ((~m2_cat_1(G, C, A)) | ![H: $i] : ((~m2_nattra_1(H, B, C, D, E)) | ![I: $i] : (r4_nattra_1(u1_cat_1(B), u2_cat_1(A), u1_cat_1(B), u2_cat_1(A), k6_isocat_1(B, C, A, D, F, k8_nattra_1(B, C, D, E, F, H, I), G), k8_nattra_1(B, A, k2_isocat_1(B, C, A, D, G), k2_isocat_1(B, C, A, E, G), k2_isocat_1(B, C, A, F, G), k6_isocat_1(B, C, A, D, E, H, G), k6_isocat_1(B, C, A, E, F, I, G))) | (~m2_nattra_1(I, B, C, E, F)) | (~r2_nattra_1(B, C, D, E)) | (~r2_nattra_1(B, C, E, F)))))))))))) | ((~l1_cat_1(C!2)) | (~v2_cat_1(C!2)) | ![B: $i] : ((~l1_cat_1(B)) | (~v2_cat_1(B)) | ![C: $i] : ((~l1_cat_1(C)) | (~v2_cat_1(C)) | ![D: $i] : ((~m2_cat_1(D, B, C)) | ![E: $i] : ((~m2_cat_1(E, B, C)) | ![F: $i] : ((~m2_cat_1(F, B, C)) | ![G: $i] : ((~m2_cat_1(G, C, C!2)) | ![H: $i] : ((~m2_nattra_1(H, B, C, D, E)) | ![I: $i] : (r4_nattra_1(u1_cat_1(B), u2_cat_1(C!2), u1_cat_1(B), u2_cat_1(C!2), k6_isocat_1(B, C, C!2, D, F, k8_nattra_1(B, C, D, E, F, H, I), G), k8_nattra_1(B, C!2, k2_isocat_1(B, C, C!2, D, G), k2_isocat_1(B, C, C!2, E, G), k2_isocat_1(B, C, C!2, F, G), k6_isocat_1(B, C, C!2, D, E, H, G), k6_isocat_1(B, C, C!2, E, F, I, G))) | (~m2_nattra_1(I, B, C, E, F)) | (~r2_nattra_1(B, C, D, E)) | (~r2_nattra_1(B, C, E, F)))))))))))) <=> ((~![A: $i] : ((~l1_cat_1(A)) | (~v2_cat_1(A)) | ![B: $i] : ((~l1_cat_1(B)) | (~v2_cat_1(B)) | ![C: $i] : ((~l1_cat_1(C)) | (~v2_cat_1(C)) | ![D: $i] : ((~m2_cat_1(D, B, C)) | ![E: $i] : ((~m2_cat_1(E, B, C)) | ![F: $i] : ((~m2_cat_1(F, B, C)) | ![G: $i] : ((~m2_cat_1(G, C, A)) | ![H: $i] : ((~m2_nattra_1(H, B, C, D, E)) | ![I: $i] : (r4_nattra_1(u1_cat_1(B), u2_cat_1(A), u1_cat_1(B), u2_cat_1(A), k6_isocat_1(B, C, A, D, F, k8_nattra_1(B, C, D, E, F, H, I), G), k8_nattra_1(B, A, k2_isocat_1(B, C, A, D, G), k2_isocat_1(B, C, A, E, G), k2_isocat_1(B, C, A, F, G), k6_isocat_1(B, C, A, D, E, H, G), k6_isocat_1(B, C, A, E, F, I, G))) | (~m2_nattra_1(I, B, C, E, F)) | (~r2_nattra_1(B, C, D, E)) | (~r2_nattra_1(B, C, E, F)))))))))))) | ((~l1_cat_1(C!2)) | (~v2_cat_1(C!2)) | ![B: $i] : ((~l1_cat_1(B)) | (~v2_cat_1(B)) | ![C: $i] : ((~l1_cat_1(C)) | (~v2_cat_1(C)) | ![D: $i] : ((~m2_cat_1(D, B, C)) | ![E: $i] : ((~m2_cat_1(E, B, C)) | ![F: $i] : ((~m2_cat_1(F, B, C)) | ![G: $i] : ((~m2_cat_1(G, C, C!2)) | ![H: $i] : ((~m2_nattra_1(H, B, C, D, E)) | ![I: $i] : ((~m2_nattra_1(I, B, C, E, F)) | (~r2_nattra_1(B, C, D, E)) | (~r2_nattra_1(B, C, E, F)) | r4_nattra_1(u1_cat_1(B), u2_cat_1(C!2), u1_cat_1(B), u2_cat_1(C!2), k6_isocat_1(B, C, C!2, D, F, k8_nattra_1(B, C, D, E, F, H, I), G), k8_nattra_1(B, C!2, k2_isocat_1(B, C, C!2, D, G), k2_isocat_1(B, C, C!2, E, G), k2_isocat_1(B, C, C!2, F, G), k6_isocat_1(B, C, C!2, D, E, H, G), k6_isocat_1(B, C, C!2, E, F, I, G)))))))))))))),
% 18.88/19.04 inference(monotonicity,[status(thm)],[461])).
% 18.88/19.04 tff(463,plain,
% 18.88/19.04 (((~![A: $i] : ((~l1_cat_1(A)) | (~v2_cat_1(A)) | ![B: $i] : ((~l1_cat_1(B)) | (~v2_cat_1(B)) | ![C: $i] : ((~l1_cat_1(C)) | (~v2_cat_1(C)) | ![D: $i] : ((~m2_cat_1(D, B, C)) | ![E: $i] : ((~m2_cat_1(E, B, C)) | ![F: $i] : ((~m2_cat_1(F, B, C)) | ![G: $i] : ((~m2_cat_1(G, C, A)) | ![H: $i] : ((~m2_nattra_1(H, B, C, D, E)) | ![I: $i] : (r4_nattra_1(u1_cat_1(B), u2_cat_1(A), u1_cat_1(B), u2_cat_1(A), k6_isocat_1(B, C, A, D, F, k8_nattra_1(B, C, D, E, F, H, I), G), k8_nattra_1(B, A, k2_isocat_1(B, C, A, D, G), k2_isocat_1(B, C, A, E, G), k2_isocat_1(B, C, A, F, G), k6_isocat_1(B, C, A, D, E, H, G), k6_isocat_1(B, C, A, E, F, I, G))) | (~m2_nattra_1(I, B, C, E, F)) | (~r2_nattra_1(B, C, D, E)) | (~r2_nattra_1(B, C, E, F)))))))))))) | ((~l1_cat_1(C!2)) | (~v2_cat_1(C!2)) | ![B: $i] : ((~l1_cat_1(B)) | (~v2_cat_1(B)) | ![C: $i] : ((~l1_cat_1(C)) | (~v2_cat_1(C)) | ![D: $i] : ((~m2_cat_1(D, B, C)) | ![E: $i] : ((~m2_cat_1(E, B, C)) | ![F: $i] : ((~m2_cat_1(F, B, C)) | ![G: $i] : ((~m2_cat_1(G, C, C!2)) | ![H: $i] : ((~m2_nattra_1(H, B, C, D, E)) | ![I: $i] : (r4_nattra_1(u1_cat_1(B), u2_cat_1(C!2), u1_cat_1(B), u2_cat_1(C!2), k6_isocat_1(B, C, C!2, D, F, k8_nattra_1(B, C, D, E, F, H, I), G), k8_nattra_1(B, C!2, k2_isocat_1(B, C, C!2, D, G), k2_isocat_1(B, C, C!2, E, G), k2_isocat_1(B, C, C!2, F, G), k6_isocat_1(B, C, C!2, D, E, H, G), k6_isocat_1(B, C, C!2, E, F, I, G))) | (~m2_nattra_1(I, B, C, E, F)) | (~r2_nattra_1(B, C, D, E)) | (~r2_nattra_1(B, C, E, F)))))))))))) <=> ((~![A: $i] : ((~l1_cat_1(A)) | (~v2_cat_1(A)) | ![B: $i] : ((~l1_cat_1(B)) | (~v2_cat_1(B)) | ![C: $i] : ((~l1_cat_1(C)) | (~v2_cat_1(C)) | ![D: $i] : ((~m2_cat_1(D, B, C)) | ![E: $i] : ((~m2_cat_1(E, B, C)) | ![F: $i] : ((~m2_cat_1(F, B, C)) | ![G: $i] : ((~m2_cat_1(G, C, A)) | ![H: $i] : ((~m2_nattra_1(H, B, C, D, E)) | ![I: $i] : (r4_nattra_1(u1_cat_1(B), u2_cat_1(A), u1_cat_1(B), u2_cat_1(A), k6_isocat_1(B, C, A, D, F, k8_nattra_1(B, C, D, E, F, H, I), G), k8_nattra_1(B, A, k2_isocat_1(B, C, A, D, G), k2_isocat_1(B, C, A, E, G), k2_isocat_1(B, C, A, F, G), k6_isocat_1(B, C, A, D, E, H, G), k6_isocat_1(B, C, A, E, F, I, G))) | (~m2_nattra_1(I, B, C, E, F)) | (~r2_nattra_1(B, C, D, E)) | (~r2_nattra_1(B, C, E, F)))))))))))) | (~l1_cat_1(C!2)) | (~v2_cat_1(C!2)) | ![B: $i] : ((~l1_cat_1(B)) | (~v2_cat_1(B)) | ![C: $i] : ((~l1_cat_1(C)) | (~v2_cat_1(C)) | ![D: $i] : ((~m2_cat_1(D, B, C)) | ![E: $i] : ((~m2_cat_1(E, B, C)) | ![F: $i] : ((~m2_cat_1(F, B, C)) | ![G: $i] : ((~m2_cat_1(G, C, C!2)) | ![H: $i] : ((~m2_nattra_1(H, B, C, D, E)) | ![I: $i] : ((~m2_nattra_1(I, B, C, E, F)) | (~r2_nattra_1(B, C, D, E)) | (~r2_nattra_1(B, C, E, F)) | r4_nattra_1(u1_cat_1(B), u2_cat_1(C!2), u1_cat_1(B), u2_cat_1(C!2), k6_isocat_1(B, C, C!2, D, F, k8_nattra_1(B, C, D, E, F, H, I), G), k8_nattra_1(B, C!2, k2_isocat_1(B, C, C!2, D, G), k2_isocat_1(B, C, C!2, E, G), k2_isocat_1(B, C, C!2, F, G), k6_isocat_1(B, C, C!2, D, E, H, G), k6_isocat_1(B, C, C!2, E, F, I, G))))))))))))),
% 18.88/19.05 inference(transitivity,[status(thm)],[462, 460])).
% 18.88/19.05 tff(464,plain,
% 18.88/19.05 ((~![A: $i] : ((~l1_cat_1(A)) | (~v2_cat_1(A)) | ![B: $i] : ((~l1_cat_1(B)) | (~v2_cat_1(B)) | ![C: $i] : ((~l1_cat_1(C)) | (~v2_cat_1(C)) | ![D: $i] : ((~m2_cat_1(D, B, C)) | ![E: $i] : ((~m2_cat_1(E, B, C)) | ![F: $i] : ((~m2_cat_1(F, B, C)) | ![G: $i] : ((~m2_cat_1(G, C, A)) | ![H: $i] : ((~m2_nattra_1(H, B, C, D, E)) | ![I: $i] : (r4_nattra_1(u1_cat_1(B), u2_cat_1(A), u1_cat_1(B), u2_cat_1(A), k6_isocat_1(B, C, A, D, F, k8_nattra_1(B, C, D, E, F, H, I), G), k8_nattra_1(B, A, k2_isocat_1(B, C, A, D, G), k2_isocat_1(B, C, A, E, G), k2_isocat_1(B, C, A, F, G), k6_isocat_1(B, C, A, D, E, H, G), k6_isocat_1(B, C, A, E, F, I, G))) | (~m2_nattra_1(I, B, C, E, F)) | (~r2_nattra_1(B, C, D, E)) | (~r2_nattra_1(B, C, E, F)))))))))))) | ((~l1_cat_1(C!2)) | (~v2_cat_1(C!2)) | ![B: $i] : ((~l1_cat_1(B)) | (~v2_cat_1(B)) | ![C: $i] : ((~l1_cat_1(C)) | (~v2_cat_1(C)) | ![D: $i] : ((~m2_cat_1(D, B, C)) | ![E: $i] : ((~m2_cat_1(E, B, C)) | ![F: $i] : ((~m2_cat_1(F, B, C)) | ![G: $i] : ((~m2_cat_1(G, C, C!2)) | ![H: $i] : ((~m2_nattra_1(H, B, C, D, E)) | ![I: $i] : (r4_nattra_1(u1_cat_1(B), u2_cat_1(C!2), u1_cat_1(B), u2_cat_1(C!2), k6_isocat_1(B, C, C!2, D, F, k8_nattra_1(B, C, D, E, F, H, I), G), k8_nattra_1(B, C!2, k2_isocat_1(B, C, C!2, D, G), k2_isocat_1(B, C, C!2, E, G), k2_isocat_1(B, C, C!2, F, G), k6_isocat_1(B, C, C!2, D, E, H, G), k6_isocat_1(B, C, C!2, E, F, I, G))) | (~m2_nattra_1(I, B, C, E, F)) | (~r2_nattra_1(B, C, D, E)) | (~r2_nattra_1(B, C, E, F)))))))))))),
% 18.88/19.05 inference(quant_inst,[status(thm)],[])).
% 18.88/19.05 tff(465,plain,
% 18.88/19.05 ((~![A: $i] : ((~l1_cat_1(A)) | (~v2_cat_1(A)) | ![B: $i] : ((~l1_cat_1(B)) | (~v2_cat_1(B)) | ![C: $i] : ((~l1_cat_1(C)) | (~v2_cat_1(C)) | ![D: $i] : ((~m2_cat_1(D, B, C)) | ![E: $i] : ((~m2_cat_1(E, B, C)) | ![F: $i] : ((~m2_cat_1(F, B, C)) | ![G: $i] : ((~m2_cat_1(G, C, A)) | ![H: $i] : ((~m2_nattra_1(H, B, C, D, E)) | ![I: $i] : (r4_nattra_1(u1_cat_1(B), u2_cat_1(A), u1_cat_1(B), u2_cat_1(A), k6_isocat_1(B, C, A, D, F, k8_nattra_1(B, C, D, E, F, H, I), G), k8_nattra_1(B, A, k2_isocat_1(B, C, A, D, G), k2_isocat_1(B, C, A, E, G), k2_isocat_1(B, C, A, F, G), k6_isocat_1(B, C, A, D, E, H, G), k6_isocat_1(B, C, A, E, F, I, G))) | (~m2_nattra_1(I, B, C, E, F)) | (~r2_nattra_1(B, C, D, E)) | (~r2_nattra_1(B, C, E, F)))))))))))) | (~l1_cat_1(C!2)) | (~v2_cat_1(C!2)) | ![B: $i] : ((~l1_cat_1(B)) | (~v2_cat_1(B)) | ![C: $i] : ((~l1_cat_1(C)) | (~v2_cat_1(C)) | ![D: $i] : ((~m2_cat_1(D, B, C)) | ![E: $i] : ((~m2_cat_1(E, B, C)) | ![F: $i] : ((~m2_cat_1(F, B, C)) | ![G: $i] : ((~m2_cat_1(G, C, C!2)) | ![H: $i] : ((~m2_nattra_1(H, B, C, D, E)) | ![I: $i] : ((~m2_nattra_1(I, B, C, E, F)) | (~r2_nattra_1(B, C, D, E)) | (~r2_nattra_1(B, C, E, F)) | r4_nattra_1(u1_cat_1(B), u2_cat_1(C!2), u1_cat_1(B), u2_cat_1(C!2), k6_isocat_1(B, C, C!2, D, F, k8_nattra_1(B, C, D, E, F, H, I), G), k8_nattra_1(B, C!2, k2_isocat_1(B, C, C!2, D, G), k2_isocat_1(B, C, C!2, E, G), k2_isocat_1(B, C, C!2, F, G), k6_isocat_1(B, C, C!2, D, E, H, G), k6_isocat_1(B, C, C!2, E, F, I, G)))))))))))),
% 18.88/19.05 inference(modus_ponens,[status(thm)],[464, 463])).
% 18.88/19.05 tff(466,plain,
% 18.88/19.05 (![B: $i] : ((~l1_cat_1(B)) | (~v2_cat_1(B)) | ![C: $i] : ((~l1_cat_1(C)) | (~v2_cat_1(C)) | ![D: $i] : ((~m2_cat_1(D, B, C)) | ![E: $i] : ((~m2_cat_1(E, B, C)) | ![F: $i] : ((~m2_cat_1(F, B, C)) | ![G: $i] : ((~m2_cat_1(G, C, C!2)) | ![H: $i] : ((~m2_nattra_1(H, B, C, D, E)) | ![I: $i] : ((~m2_nattra_1(I, B, C, E, F)) | (~r2_nattra_1(B, C, D, E)) | (~r2_nattra_1(B, C, E, F)) | r4_nattra_1(u1_cat_1(B), u2_cat_1(C!2), u1_cat_1(B), u2_cat_1(C!2), k6_isocat_1(B, C, C!2, D, F, k8_nattra_1(B, C, D, E, F, H, I), G), k8_nattra_1(B, C!2, k2_isocat_1(B, C, C!2, D, G), k2_isocat_1(B, C, C!2, E, G), k2_isocat_1(B, C, C!2, F, G), k6_isocat_1(B, C, C!2, D, E, H, G), k6_isocat_1(B, C, C!2, E, F, I, G)))))))))))),
% 18.88/19.05 inference(unit_resolution,[status(thm)],[465, 57, 56, 242])).
% 18.88/19.05 tff(467,plain,
% 18.88/19.05 (((~![B: $i] : ((~l1_cat_1(B)) | (~v2_cat_1(B)) | ![C: $i] : ((~l1_cat_1(C)) | (~v2_cat_1(C)) | ![D: $i] : ((~m2_cat_1(D, B, C)) | ![E: $i] : ((~m2_cat_1(E, B, C)) | ![F: $i] : ((~m2_cat_1(F, B, C)) | ![G: $i] : ((~m2_cat_1(G, C, C!2)) | ![H: $i] : ((~m2_nattra_1(H, B, C, D, E)) | ![I: $i] : ((~m2_nattra_1(I, B, C, E, F)) | (~r2_nattra_1(B, C, D, E)) | (~r2_nattra_1(B, C, E, F)) | r4_nattra_1(u1_cat_1(B), u2_cat_1(C!2), u1_cat_1(B), u2_cat_1(C!2), k6_isocat_1(B, C, C!2, D, F, k8_nattra_1(B, C, D, E, F, H, I), G), k8_nattra_1(B, C!2, k2_isocat_1(B, C, C!2, D, G), k2_isocat_1(B, C, C!2, E, G), k2_isocat_1(B, C, C!2, F, G), k6_isocat_1(B, C, C!2, D, E, H, G), k6_isocat_1(B, C, C!2, E, F, I, G)))))))))))) | ((~l1_cat_1(A!0)) | (~v2_cat_1(A!0)) | ![C: $i] : ((~l1_cat_1(C)) | (~v2_cat_1(C)) | ![D: $i] : ((~m2_cat_1(D, A!0, C)) | ![E: $i] : ((~m2_cat_1(E, A!0, C)) | ![F: $i] : ((~m2_cat_1(F, A!0, C)) | ![G: $i] : ((~m2_cat_1(G, C, C!2)) | ![H: $i] : ((~m2_nattra_1(H, A!0, C, D, E)) | ![I: $i] : ((~m2_nattra_1(I, A!0, C, E, F)) | (~r2_nattra_1(A!0, C, D, E)) | (~r2_nattra_1(A!0, C, E, F)) | r4_nattra_1(u1_cat_1(A!0), u2_cat_1(C!2), u1_cat_1(A!0), u2_cat_1(C!2), k6_isocat_1(A!0, C, C!2, D, F, k8_nattra_1(A!0, C, D, E, F, H, I), G), k8_nattra_1(A!0, C!2, k2_isocat_1(A!0, C, C!2, D, G), k2_isocat_1(A!0, C, C!2, E, G), k2_isocat_1(A!0, C, C!2, F, G), k6_isocat_1(A!0, C, C!2, D, E, H, G), k6_isocat_1(A!0, C, C!2, E, F, I, G)))))))))))) <=> ((~![B: $i] : ((~l1_cat_1(B)) | (~v2_cat_1(B)) | ![C: $i] : ((~l1_cat_1(C)) | (~v2_cat_1(C)) | ![D: $i] : ((~m2_cat_1(D, B, C)) | ![E: $i] : ((~m2_cat_1(E, B, C)) | ![F: $i] : ((~m2_cat_1(F, B, C)) | ![G: $i] : ((~m2_cat_1(G, C, C!2)) | ![H: $i] : ((~m2_nattra_1(H, B, C, D, E)) | ![I: $i] : ((~m2_nattra_1(I, B, C, E, F)) | (~r2_nattra_1(B, C, D, E)) | (~r2_nattra_1(B, C, E, F)) | r4_nattra_1(u1_cat_1(B), u2_cat_1(C!2), u1_cat_1(B), u2_cat_1(C!2), k6_isocat_1(B, C, C!2, D, F, k8_nattra_1(B, C, D, E, F, H, I), G), k8_nattra_1(B, C!2, k2_isocat_1(B, C, C!2, D, G), k2_isocat_1(B, C, C!2, E, G), k2_isocat_1(B, C, C!2, F, G), k6_isocat_1(B, C, C!2, D, E, H, G), k6_isocat_1(B, C, C!2, E, F, I, G)))))))))))) | (~l1_cat_1(A!0)) | (~v2_cat_1(A!0)) | ![C: $i] : ((~l1_cat_1(C)) | (~v2_cat_1(C)) | ![D: $i] : ((~m2_cat_1(D, A!0, C)) | ![E: $i] : ((~m2_cat_1(E, A!0, C)) | ![F: $i] : ((~m2_cat_1(F, A!0, C)) | ![G: $i] : ((~m2_cat_1(G, C, C!2)) | ![H: $i] : ((~m2_nattra_1(H, A!0, C, D, E)) | ![I: $i] : ((~m2_nattra_1(I, A!0, C, E, F)) | (~r2_nattra_1(A!0, C, D, E)) | (~r2_nattra_1(A!0, C, E, F)) | r4_nattra_1(u1_cat_1(A!0), u2_cat_1(C!2), u1_cat_1(A!0), u2_cat_1(C!2), k6_isocat_1(A!0, C, C!2, D, F, k8_nattra_1(A!0, C, D, E, F, H, I), G), k8_nattra_1(A!0, C!2, k2_isocat_1(A!0, C, C!2, D, G), k2_isocat_1(A!0, C, C!2, E, G), k2_isocat_1(A!0, C, C!2, F, G), k6_isocat_1(A!0, C, C!2, D, E, H, G), k6_isocat_1(A!0, C, C!2, E, F, I, G)))))))))))),
% 18.88/19.05 inference(rewrite,[status(thm)],[])).
% 18.88/19.05 tff(468,plain,
% 18.88/19.05 ((~![B: $i] : ((~l1_cat_1(B)) | (~v2_cat_1(B)) | ![C: $i] : ((~l1_cat_1(C)) | (~v2_cat_1(C)) | ![D: $i] : ((~m2_cat_1(D, B, C)) | ![E: $i] : ((~m2_cat_1(E, B, C)) | ![F: $i] : ((~m2_cat_1(F, B, C)) | ![G: $i] : ((~m2_cat_1(G, C, C!2)) | ![H: $i] : ((~m2_nattra_1(H, B, C, D, E)) | ![I: $i] : ((~m2_nattra_1(I, B, C, E, F)) | (~r2_nattra_1(B, C, D, E)) | (~r2_nattra_1(B, C, E, F)) | r4_nattra_1(u1_cat_1(B), u2_cat_1(C!2), u1_cat_1(B), u2_cat_1(C!2), k6_isocat_1(B, C, C!2, D, F, k8_nattra_1(B, C, D, E, F, H, I), G), k8_nattra_1(B, C!2, k2_isocat_1(B, C, C!2, D, G), k2_isocat_1(B, C, C!2, E, G), k2_isocat_1(B, C, C!2, F, G), k6_isocat_1(B, C, C!2, D, E, H, G), k6_isocat_1(B, C, C!2, E, F, I, G)))))))))))) | ((~l1_cat_1(A!0)) | (~v2_cat_1(A!0)) | ![C: $i] : ((~l1_cat_1(C)) | (~v2_cat_1(C)) | ![D: $i] : ((~m2_cat_1(D, A!0, C)) | ![E: $i] : ((~m2_cat_1(E, A!0, C)) | ![F: $i] : ((~m2_cat_1(F, A!0, C)) | ![G: $i] : ((~m2_cat_1(G, C, C!2)) | ![H: $i] : ((~m2_nattra_1(H, A!0, C, D, E)) | ![I: $i] : ((~m2_nattra_1(I, A!0, C, E, F)) | (~r2_nattra_1(A!0, C, D, E)) | (~r2_nattra_1(A!0, C, E, F)) | r4_nattra_1(u1_cat_1(A!0), u2_cat_1(C!2), u1_cat_1(A!0), u2_cat_1(C!2), k6_isocat_1(A!0, C, C!2, D, F, k8_nattra_1(A!0, C, D, E, F, H, I), G), k8_nattra_1(A!0, C!2, k2_isocat_1(A!0, C, C!2, D, G), k2_isocat_1(A!0, C, C!2, E, G), k2_isocat_1(A!0, C, C!2, F, G), k6_isocat_1(A!0, C, C!2, D, E, H, G), k6_isocat_1(A!0, C, C!2, E, F, I, G)))))))))))),
% 18.88/19.05 inference(quant_inst,[status(thm)],[])).
% 18.88/19.05 tff(469,plain,
% 18.88/19.05 ((~![B: $i] : ((~l1_cat_1(B)) | (~v2_cat_1(B)) | ![C: $i] : ((~l1_cat_1(C)) | (~v2_cat_1(C)) | ![D: $i] : ((~m2_cat_1(D, B, C)) | ![E: $i] : ((~m2_cat_1(E, B, C)) | ![F: $i] : ((~m2_cat_1(F, B, C)) | ![G: $i] : ((~m2_cat_1(G, C, C!2)) | ![H: $i] : ((~m2_nattra_1(H, B, C, D, E)) | ![I: $i] : ((~m2_nattra_1(I, B, C, E, F)) | (~r2_nattra_1(B, C, D, E)) | (~r2_nattra_1(B, C, E, F)) | r4_nattra_1(u1_cat_1(B), u2_cat_1(C!2), u1_cat_1(B), u2_cat_1(C!2), k6_isocat_1(B, C, C!2, D, F, k8_nattra_1(B, C, D, E, F, H, I), G), k8_nattra_1(B, C!2, k2_isocat_1(B, C, C!2, D, G), k2_isocat_1(B, C, C!2, E, G), k2_isocat_1(B, C, C!2, F, G), k6_isocat_1(B, C, C!2, D, E, H, G), k6_isocat_1(B, C, C!2, E, F, I, G)))))))))))) | (~l1_cat_1(A!0)) | (~v2_cat_1(A!0)) | ![C: $i] : ((~l1_cat_1(C)) | (~v2_cat_1(C)) | ![D: $i] : ((~m2_cat_1(D, A!0, C)) | ![E: $i] : ((~m2_cat_1(E, A!0, C)) | ![F: $i] : ((~m2_cat_1(F, A!0, C)) | ![G: $i] : ((~m2_cat_1(G, C, C!2)) | ![H: $i] : ((~m2_nattra_1(H, A!0, C, D, E)) | ![I: $i] : ((~m2_nattra_1(I, A!0, C, E, F)) | (~r2_nattra_1(A!0, C, D, E)) | (~r2_nattra_1(A!0, C, E, F)) | r4_nattra_1(u1_cat_1(A!0), u2_cat_1(C!2), u1_cat_1(A!0), u2_cat_1(C!2), k6_isocat_1(A!0, C, C!2, D, F, k8_nattra_1(A!0, C, D, E, F, H, I), G), k8_nattra_1(A!0, C!2, k2_isocat_1(A!0, C, C!2, D, G), k2_isocat_1(A!0, C, C!2, E, G), k2_isocat_1(A!0, C, C!2, F, G), k6_isocat_1(A!0, C, C!2, D, E, H, G), k6_isocat_1(A!0, C, C!2, E, F, I, G))))))))))),
% 18.88/19.05 inference(modus_ponens,[status(thm)],[468, 467])).
% 18.88/19.05 tff(470,plain,
% 18.88/19.05 (![C: $i] : ((~l1_cat_1(C)) | (~v2_cat_1(C)) | ![D: $i] : ((~m2_cat_1(D, A!0, C)) | ![E: $i] : ((~m2_cat_1(E, A!0, C)) | ![F: $i] : ((~m2_cat_1(F, A!0, C)) | ![G: $i] : ((~m2_cat_1(G, C, C!2)) | ![H: $i] : ((~m2_nattra_1(H, A!0, C, D, E)) | ![I: $i] : ((~m2_nattra_1(I, A!0, C, E, F)) | (~r2_nattra_1(A!0, C, D, E)) | (~r2_nattra_1(A!0, C, E, F)) | r4_nattra_1(u1_cat_1(A!0), u2_cat_1(C!2), u1_cat_1(A!0), u2_cat_1(C!2), k6_isocat_1(A!0, C, C!2, D, F, k8_nattra_1(A!0, C, D, E, F, H, I), G), k8_nattra_1(A!0, C!2, k2_isocat_1(A!0, C, C!2, D, G), k2_isocat_1(A!0, C, C!2, E, G), k2_isocat_1(A!0, C, C!2, F, G), k6_isocat_1(A!0, C, C!2, D, E, H, G), k6_isocat_1(A!0, C, C!2, E, F, I, G))))))))))),
% 18.88/19.05 inference(unit_resolution,[status(thm)],[469, 45, 44, 466])).
% 18.88/19.05 tff(471,plain,
% 18.88/19.05 (((~![C: $i] : ((~l1_cat_1(C)) | (~v2_cat_1(C)) | ![D: $i] : ((~m2_cat_1(D, A!0, C)) | ![E: $i] : ((~m2_cat_1(E, A!0, C)) | ![F: $i] : ((~m2_cat_1(F, A!0, C)) | ![G: $i] : ((~m2_cat_1(G, C, C!2)) | ![H: $i] : ((~m2_nattra_1(H, A!0, C, D, E)) | ![I: $i] : ((~m2_nattra_1(I, A!0, C, E, F)) | (~r2_nattra_1(A!0, C, D, E)) | (~r2_nattra_1(A!0, C, E, F)) | r4_nattra_1(u1_cat_1(A!0), u2_cat_1(C!2), u1_cat_1(A!0), u2_cat_1(C!2), k6_isocat_1(A!0, C, C!2, D, F, k8_nattra_1(A!0, C, D, E, F, H, I), G), k8_nattra_1(A!0, C!2, k2_isocat_1(A!0, C, C!2, D, G), k2_isocat_1(A!0, C, C!2, E, G), k2_isocat_1(A!0, C, C!2, F, G), k6_isocat_1(A!0, C, C!2, D, E, H, G), k6_isocat_1(A!0, C, C!2, E, F, I, G))))))))))) | ((~l1_cat_1(k11_cat_2(B!1, C!2))) | (~v2_cat_1(k11_cat_2(B!1, C!2))) | ![D: $i] : ((~m2_cat_1(D, A!0, k11_cat_2(B!1, C!2))) | ![E: $i] : ((~m2_cat_1(E, A!0, k11_cat_2(B!1, C!2))) | ![F: $i] : ((~m2_cat_1(F, A!0, k11_cat_2(B!1, C!2))) | ![G: $i] : ((~m2_cat_1(G, k11_cat_2(B!1, C!2), C!2)) | ![H: $i] : ((~m2_nattra_1(H, A!0, k11_cat_2(B!1, C!2), D, E)) | ![I: $i] : ((~m2_nattra_1(I, A!0, k11_cat_2(B!1, C!2), E, F)) | (~r2_nattra_1(A!0, k11_cat_2(B!1, C!2), D, E)) | (~r2_nattra_1(A!0, k11_cat_2(B!1, C!2), E, F)) | r4_nattra_1(u1_cat_1(A!0), u2_cat_1(C!2), u1_cat_1(A!0), u2_cat_1(C!2), k6_isocat_1(A!0, k11_cat_2(B!1, C!2), C!2, D, F, k8_nattra_1(A!0, k11_cat_2(B!1, C!2), D, E, F, H, I), G), k8_nattra_1(A!0, C!2, k2_isocat_1(A!0, k11_cat_2(B!1, C!2), C!2, D, G), k2_isocat_1(A!0, k11_cat_2(B!1, C!2), C!2, E, G), k2_isocat_1(A!0, k11_cat_2(B!1, C!2), C!2, F, G), k6_isocat_1(A!0, k11_cat_2(B!1, C!2), C!2, D, E, H, G), k6_isocat_1(A!0, k11_cat_2(B!1, C!2), C!2, E, F, I, G))))))))))) <=> ((~![C: $i] : ((~l1_cat_1(C)) | (~v2_cat_1(C)) | ![D: $i] : ((~m2_cat_1(D, A!0, C)) | ![E: $i] : ((~m2_cat_1(E, A!0, C)) | ![F: $i] : ((~m2_cat_1(F, A!0, C)) | ![G: $i] : ((~m2_cat_1(G, C, C!2)) | ![H: $i] : ((~m2_nattra_1(H, A!0, C, D, E)) | ![I: $i] : ((~m2_nattra_1(I, A!0, C, E, F)) | (~r2_nattra_1(A!0, C, D, E)) | (~r2_nattra_1(A!0, C, E, F)) | r4_nattra_1(u1_cat_1(A!0), u2_cat_1(C!2), u1_cat_1(A!0), u2_cat_1(C!2), k6_isocat_1(A!0, C, C!2, D, F, k8_nattra_1(A!0, C, D, E, F, H, I), G), k8_nattra_1(A!0, C!2, k2_isocat_1(A!0, C, C!2, D, G), k2_isocat_1(A!0, C, C!2, E, G), k2_isocat_1(A!0, C, C!2, F, G), k6_isocat_1(A!0, C, C!2, D, E, H, G), k6_isocat_1(A!0, C, C!2, E, F, I, G))))))))))) | (~l1_cat_1(k11_cat_2(B!1, C!2))) | (~v2_cat_1(k11_cat_2(B!1, C!2))) | ![D: $i] : ((~m2_cat_1(D, A!0, k11_cat_2(B!1, C!2))) | ![E: $i] : ((~m2_cat_1(E, A!0, k11_cat_2(B!1, C!2))) | ![F: $i] : ((~m2_cat_1(F, A!0, k11_cat_2(B!1, C!2))) | ![G: $i] : ((~m2_cat_1(G, k11_cat_2(B!1, C!2), C!2)) | ![H: $i] : ((~m2_nattra_1(H, A!0, k11_cat_2(B!1, C!2), D, E)) | ![I: $i] : ((~m2_nattra_1(I, A!0, k11_cat_2(B!1, C!2), E, F)) | (~r2_nattra_1(A!0, k11_cat_2(B!1, C!2), D, E)) | (~r2_nattra_1(A!0, k11_cat_2(B!1, C!2), E, F)) | r4_nattra_1(u1_cat_1(A!0), u2_cat_1(C!2), u1_cat_1(A!0), u2_cat_1(C!2), k6_isocat_1(A!0, k11_cat_2(B!1, C!2), C!2, D, F, k8_nattra_1(A!0, k11_cat_2(B!1, C!2), D, E, F, H, I), G), k8_nattra_1(A!0, C!2, k2_isocat_1(A!0, k11_cat_2(B!1, C!2), C!2, D, G), k2_isocat_1(A!0, k11_cat_2(B!1, C!2), C!2, E, G), k2_isocat_1(A!0, k11_cat_2(B!1, C!2), C!2, F, G), k6_isocat_1(A!0, k11_cat_2(B!1, C!2), C!2, D, E, H, G), k6_isocat_1(A!0, k11_cat_2(B!1, C!2), C!2, E, F, I, G))))))))))),
% 18.88/19.05 inference(rewrite,[status(thm)],[])).
% 18.88/19.05 tff(472,plain,
% 18.88/19.05 ((~![C: $i] : ((~l1_cat_1(C)) | (~v2_cat_1(C)) | ![D: $i] : ((~m2_cat_1(D, A!0, C)) | ![E: $i] : ((~m2_cat_1(E, A!0, C)) | ![F: $i] : ((~m2_cat_1(F, A!0, C)) | ![G: $i] : ((~m2_cat_1(G, C, C!2)) | ![H: $i] : ((~m2_nattra_1(H, A!0, C, D, E)) | ![I: $i] : ((~m2_nattra_1(I, A!0, C, E, F)) | (~r2_nattra_1(A!0, C, D, E)) | (~r2_nattra_1(A!0, C, E, F)) | r4_nattra_1(u1_cat_1(A!0), u2_cat_1(C!2), u1_cat_1(A!0), u2_cat_1(C!2), k6_isocat_1(A!0, C, C!2, D, F, k8_nattra_1(A!0, C, D, E, F, H, I), G), k8_nattra_1(A!0, C!2, k2_isocat_1(A!0, C, C!2, D, G), k2_isocat_1(A!0, C, C!2, E, G), k2_isocat_1(A!0, C, C!2, F, G), k6_isocat_1(A!0, C, C!2, D, E, H, G), k6_isocat_1(A!0, C, C!2, E, F, I, G))))))))))) | ((~l1_cat_1(k11_cat_2(B!1, C!2))) | (~v2_cat_1(k11_cat_2(B!1, C!2))) | ![D: $i] : ((~m2_cat_1(D, A!0, k11_cat_2(B!1, C!2))) | ![E: $i] : ((~m2_cat_1(E, A!0, k11_cat_2(B!1, C!2))) | ![F: $i] : ((~m2_cat_1(F, A!0, k11_cat_2(B!1, C!2))) | ![G: $i] : ((~m2_cat_1(G, k11_cat_2(B!1, C!2), C!2)) | ![H: $i] : ((~m2_nattra_1(H, A!0, k11_cat_2(B!1, C!2), D, E)) | ![I: $i] : ((~m2_nattra_1(I, A!0, k11_cat_2(B!1, C!2), E, F)) | (~r2_nattra_1(A!0, k11_cat_2(B!1, C!2), D, E)) | (~r2_nattra_1(A!0, k11_cat_2(B!1, C!2), E, F)) | r4_nattra_1(u1_cat_1(A!0), u2_cat_1(C!2), u1_cat_1(A!0), u2_cat_1(C!2), k6_isocat_1(A!0, k11_cat_2(B!1, C!2), C!2, D, F, k8_nattra_1(A!0, k11_cat_2(B!1, C!2), D, E, F, H, I), G), k8_nattra_1(A!0, C!2, k2_isocat_1(A!0, k11_cat_2(B!1, C!2), C!2, D, G), k2_isocat_1(A!0, k11_cat_2(B!1, C!2), C!2, E, G), k2_isocat_1(A!0, k11_cat_2(B!1, C!2), C!2, F, G), k6_isocat_1(A!0, k11_cat_2(B!1, C!2), C!2, D, E, H, G), k6_isocat_1(A!0, k11_cat_2(B!1, C!2), C!2, E, F, I, G))))))))))),
% 18.88/19.05 inference(quant_inst,[status(thm)],[])).
% 18.88/19.05 tff(473,plain,
% 18.88/19.05 ((~![C: $i] : ((~l1_cat_1(C)) | (~v2_cat_1(C)) | ![D: $i] : ((~m2_cat_1(D, A!0, C)) | ![E: $i] : ((~m2_cat_1(E, A!0, C)) | ![F: $i] : ((~m2_cat_1(F, A!0, C)) | ![G: $i] : ((~m2_cat_1(G, C, C!2)) | ![H: $i] : ((~m2_nattra_1(H, A!0, C, D, E)) | ![I: $i] : ((~m2_nattra_1(I, A!0, C, E, F)) | (~r2_nattra_1(A!0, C, D, E)) | (~r2_nattra_1(A!0, C, E, F)) | r4_nattra_1(u1_cat_1(A!0), u2_cat_1(C!2), u1_cat_1(A!0), u2_cat_1(C!2), k6_isocat_1(A!0, C, C!2, D, F, k8_nattra_1(A!0, C, D, E, F, H, I), G), k8_nattra_1(A!0, C!2, k2_isocat_1(A!0, C, C!2, D, G), k2_isocat_1(A!0, C, C!2, E, G), k2_isocat_1(A!0, C, C!2, F, G), k6_isocat_1(A!0, C, C!2, D, E, H, G), k6_isocat_1(A!0, C, C!2, E, F, I, G))))))))))) | (~l1_cat_1(k11_cat_2(B!1, C!2))) | (~v2_cat_1(k11_cat_2(B!1, C!2))) | ![D: $i] : ((~m2_cat_1(D, A!0, k11_cat_2(B!1, C!2))) | ![E: $i] : ((~m2_cat_1(E, A!0, k11_cat_2(B!1, C!2))) | ![F: $i] : ((~m2_cat_1(F, A!0, k11_cat_2(B!1, C!2))) | ![G: $i] : ((~m2_cat_1(G, k11_cat_2(B!1, C!2), C!2)) | ![H: $i] : ((~m2_nattra_1(H, A!0, k11_cat_2(B!1, C!2), D, E)) | ![I: $i] : ((~m2_nattra_1(I, A!0, k11_cat_2(B!1, C!2), E, F)) | (~r2_nattra_1(A!0, k11_cat_2(B!1, C!2), D, E)) | (~r2_nattra_1(A!0, k11_cat_2(B!1, C!2), E, F)) | r4_nattra_1(u1_cat_1(A!0), u2_cat_1(C!2), u1_cat_1(A!0), u2_cat_1(C!2), k6_isocat_1(A!0, k11_cat_2(B!1, C!2), C!2, D, F, k8_nattra_1(A!0, k11_cat_2(B!1, C!2), D, E, F, H, I), G), k8_nattra_1(A!0, C!2, k2_isocat_1(A!0, k11_cat_2(B!1, C!2), C!2, D, G), k2_isocat_1(A!0, k11_cat_2(B!1, C!2), C!2, E, G), k2_isocat_1(A!0, k11_cat_2(B!1, C!2), C!2, F, G), k6_isocat_1(A!0, k11_cat_2(B!1, C!2), C!2, D, E, H, G), k6_isocat_1(A!0, k11_cat_2(B!1, C!2), C!2, E, F, I, G)))))))))),
% 18.88/19.05 inference(modus_ponens,[status(thm)],[472, 471])).
% 18.88/19.05 tff(474,plain,
% 18.88/19.05 (![D: $i] : ((~m2_cat_1(D, A!0, k11_cat_2(B!1, C!2))) | ![E: $i] : ((~m2_cat_1(E, A!0, k11_cat_2(B!1, C!2))) | ![F: $i] : ((~m2_cat_1(F, A!0, k11_cat_2(B!1, C!2))) | ![G: $i] : ((~m2_cat_1(G, k11_cat_2(B!1, C!2), C!2)) | ![H: $i] : ((~m2_nattra_1(H, A!0, k11_cat_2(B!1, C!2), D, E)) | ![I: $i] : ((~m2_nattra_1(I, A!0, k11_cat_2(B!1, C!2), E, F)) | (~r2_nattra_1(A!0, k11_cat_2(B!1, C!2), D, E)) | (~r2_nattra_1(A!0, k11_cat_2(B!1, C!2), E, F)) | r4_nattra_1(u1_cat_1(A!0), u2_cat_1(C!2), u1_cat_1(A!0), u2_cat_1(C!2), k6_isocat_1(A!0, k11_cat_2(B!1, C!2), C!2, D, F, k8_nattra_1(A!0, k11_cat_2(B!1, C!2), D, E, F, H, I), G), k8_nattra_1(A!0, C!2, k2_isocat_1(A!0, k11_cat_2(B!1, C!2), C!2, D, G), k2_isocat_1(A!0, k11_cat_2(B!1, C!2), C!2, E, G), k2_isocat_1(A!0, k11_cat_2(B!1, C!2), C!2, F, G), k6_isocat_1(A!0, k11_cat_2(B!1, C!2), C!2, D, E, H, G), k6_isocat_1(A!0, k11_cat_2(B!1, C!2), C!2, E, F, I, G)))))))))),
% 18.88/19.05 inference(unit_resolution,[status(thm)],[473, 195, 193, 470])).
% 18.88/19.05 tff(475,plain,
% 18.88/19.05 (((~![D: $i] : ((~m2_cat_1(D, A!0, k11_cat_2(B!1, C!2))) | ![E: $i] : ((~m2_cat_1(E, A!0, k11_cat_2(B!1, C!2))) | ![F: $i] : ((~m2_cat_1(F, A!0, k11_cat_2(B!1, C!2))) | ![G: $i] : ((~m2_cat_1(G, k11_cat_2(B!1, C!2), C!2)) | ![H: $i] : ((~m2_nattra_1(H, A!0, k11_cat_2(B!1, C!2), D, E)) | ![I: $i] : ((~m2_nattra_1(I, A!0, k11_cat_2(B!1, C!2), E, F)) | (~r2_nattra_1(A!0, k11_cat_2(B!1, C!2), D, E)) | (~r2_nattra_1(A!0, k11_cat_2(B!1, C!2), E, F)) | r4_nattra_1(u1_cat_1(A!0), u2_cat_1(C!2), u1_cat_1(A!0), u2_cat_1(C!2), k6_isocat_1(A!0, k11_cat_2(B!1, C!2), C!2, D, F, k8_nattra_1(A!0, k11_cat_2(B!1, C!2), D, E, F, H, I), G), k8_nattra_1(A!0, C!2, k2_isocat_1(A!0, k11_cat_2(B!1, C!2), C!2, D, G), k2_isocat_1(A!0, k11_cat_2(B!1, C!2), C!2, E, G), k2_isocat_1(A!0, k11_cat_2(B!1, C!2), C!2, F, G), k6_isocat_1(A!0, k11_cat_2(B!1, C!2), C!2, D, E, H, G), k6_isocat_1(A!0, k11_cat_2(B!1, C!2), C!2, E, F, I, G)))))))))) | ((~m2_cat_1(D!3, A!0, k11_cat_2(B!1, C!2))) | ![E: $i] : ((~m2_cat_1(E, A!0, k11_cat_2(B!1, C!2))) | ![F: $i] : ((~m2_cat_1(F, A!0, k11_cat_2(B!1, C!2))) | ![G: $i] : ((~m2_cat_1(G, k11_cat_2(B!1, C!2), C!2)) | ![H: $i] : ((~m2_nattra_1(H, A!0, k11_cat_2(B!1, C!2), D!3, E)) | ![I: $i] : ((~m2_nattra_1(I, A!0, k11_cat_2(B!1, C!2), E, F)) | (~r2_nattra_1(A!0, k11_cat_2(B!1, C!2), E, F)) | (~r2_nattra_1(A!0, k11_cat_2(B!1, C!2), D!3, E)) | r4_nattra_1(u1_cat_1(A!0), u2_cat_1(C!2), u1_cat_1(A!0), u2_cat_1(C!2), k6_isocat_1(A!0, k11_cat_2(B!1, C!2), C!2, D!3, F, k8_nattra_1(A!0, k11_cat_2(B!1, C!2), D!3, E, F, H, I), G), k8_nattra_1(A!0, C!2, k2_isocat_1(A!0, k11_cat_2(B!1, C!2), C!2, D!3, G), k2_isocat_1(A!0, k11_cat_2(B!1, C!2), C!2, E, G), k2_isocat_1(A!0, k11_cat_2(B!1, C!2), C!2, F, G), k6_isocat_1(A!0, k11_cat_2(B!1, C!2), C!2, D!3, E, H, G), k6_isocat_1(A!0, k11_cat_2(B!1, C!2), C!2, E, F, I, G)))))))))) <=> ((~![D: $i] : ((~m2_cat_1(D, A!0, k11_cat_2(B!1, C!2))) | ![E: $i] : ((~m2_cat_1(E, A!0, k11_cat_2(B!1, C!2))) | ![F: $i] : ((~m2_cat_1(F, A!0, k11_cat_2(B!1, C!2))) | ![G: $i] : ((~m2_cat_1(G, k11_cat_2(B!1, C!2), C!2)) | ![H: $i] : ((~m2_nattra_1(H, A!0, k11_cat_2(B!1, C!2), D, E)) | ![I: $i] : ((~m2_nattra_1(I, A!0, k11_cat_2(B!1, C!2), E, F)) | (~r2_nattra_1(A!0, k11_cat_2(B!1, C!2), D, E)) | (~r2_nattra_1(A!0, k11_cat_2(B!1, C!2), E, F)) | r4_nattra_1(u1_cat_1(A!0), u2_cat_1(C!2), u1_cat_1(A!0), u2_cat_1(C!2), k6_isocat_1(A!0, k11_cat_2(B!1, C!2), C!2, D, F, k8_nattra_1(A!0, k11_cat_2(B!1, C!2), D, E, F, H, I), G), k8_nattra_1(A!0, C!2, k2_isocat_1(A!0, k11_cat_2(B!1, C!2), C!2, D, G), k2_isocat_1(A!0, k11_cat_2(B!1, C!2), C!2, E, G), k2_isocat_1(A!0, k11_cat_2(B!1, C!2), C!2, F, G), k6_isocat_1(A!0, k11_cat_2(B!1, C!2), C!2, D, E, H, G), k6_isocat_1(A!0, k11_cat_2(B!1, C!2), C!2, E, F, I, G)))))))))) | (~m2_cat_1(D!3, A!0, k11_cat_2(B!1, C!2))) | ![E: $i] : ((~m2_cat_1(E, A!0, k11_cat_2(B!1, C!2))) | ![F: $i] : ((~m2_cat_1(F, A!0, k11_cat_2(B!1, C!2))) | ![G: $i] : ((~m2_cat_1(G, k11_cat_2(B!1, C!2), C!2)) | ![H: $i] : ((~m2_nattra_1(H, A!0, k11_cat_2(B!1, C!2), D!3, E)) | ![I: $i] : ((~m2_nattra_1(I, A!0, k11_cat_2(B!1, C!2), E, F)) | (~r2_nattra_1(A!0, k11_cat_2(B!1, C!2), E, F)) | (~r2_nattra_1(A!0, k11_cat_2(B!1, C!2), D!3, E)) | r4_nattra_1(u1_cat_1(A!0), u2_cat_1(C!2), u1_cat_1(A!0), u2_cat_1(C!2), k6_isocat_1(A!0, k11_cat_2(B!1, C!2), C!2, D!3, F, k8_nattra_1(A!0, k11_cat_2(B!1, C!2), D!3, E, F, H, I), G), k8_nattra_1(A!0, C!2, k2_isocat_1(A!0, k11_cat_2(B!1, C!2), C!2, D!3, G), k2_isocat_1(A!0, k11_cat_2(B!1, C!2), C!2, E, G), k2_isocat_1(A!0, k11_cat_2(B!1, C!2), C!2, F, G), k6_isocat_1(A!0, k11_cat_2(B!1, C!2), C!2, D!3, E, H, G), k6_isocat_1(A!0, k11_cat_2(B!1, C!2), C!2, E, F, I, G)))))))))),
% 18.88/19.06 inference(rewrite,[status(thm)],[])).
% 18.88/19.06 tff(476,plain,
% 18.88/19.06 (((~m2_cat_1(D!3, A!0, k11_cat_2(B!1, C!2))) | ![E: $i] : ((~m2_cat_1(E, A!0, k11_cat_2(B!1, C!2))) | ![F: $i] : ((~m2_cat_1(F, A!0, k11_cat_2(B!1, C!2))) | ![G: $i] : ((~m2_cat_1(G, k11_cat_2(B!1, C!2), C!2)) | ![H: $i] : ((~m2_nattra_1(H, A!0, k11_cat_2(B!1, C!2), D!3, E)) | ![I: $i] : ((~m2_nattra_1(I, A!0, k11_cat_2(B!1, C!2), E, F)) | (~r2_nattra_1(A!0, k11_cat_2(B!1, C!2), D!3, E)) | (~r2_nattra_1(A!0, k11_cat_2(B!1, C!2), E, F)) | r4_nattra_1(u1_cat_1(A!0), u2_cat_1(C!2), u1_cat_1(A!0), u2_cat_1(C!2), k6_isocat_1(A!0, k11_cat_2(B!1, C!2), C!2, D!3, F, k8_nattra_1(A!0, k11_cat_2(B!1, C!2), D!3, E, F, H, I), G), k8_nattra_1(A!0, C!2, k2_isocat_1(A!0, k11_cat_2(B!1, C!2), C!2, D!3, G), k2_isocat_1(A!0, k11_cat_2(B!1, C!2), C!2, E, G), k2_isocat_1(A!0, k11_cat_2(B!1, C!2), C!2, F, G), k6_isocat_1(A!0, k11_cat_2(B!1, C!2), C!2, D!3, E, H, G), k6_isocat_1(A!0, k11_cat_2(B!1, C!2), C!2, E, F, I, G))))))))) <=> ((~m2_cat_1(D!3, A!0, k11_cat_2(B!1, C!2))) | ![E: $i] : ((~m2_cat_1(E, A!0, k11_cat_2(B!1, C!2))) | ![F: $i] : ((~m2_cat_1(F, A!0, k11_cat_2(B!1, C!2))) | ![G: $i] : ((~m2_cat_1(G, k11_cat_2(B!1, C!2), C!2)) | ![H: $i] : ((~m2_nattra_1(H, A!0, k11_cat_2(B!1, C!2), D!3, E)) | ![I: $i] : ((~m2_nattra_1(I, A!0, k11_cat_2(B!1, C!2), E, F)) | (~r2_nattra_1(A!0, k11_cat_2(B!1, C!2), E, F)) | (~r2_nattra_1(A!0, k11_cat_2(B!1, C!2), D!3, E)) | r4_nattra_1(u1_cat_1(A!0), u2_cat_1(C!2), u1_cat_1(A!0), u2_cat_1(C!2), k6_isocat_1(A!0, k11_cat_2(B!1, C!2), C!2, D!3, F, k8_nattra_1(A!0, k11_cat_2(B!1, C!2), D!3, E, F, H, I), G), k8_nattra_1(A!0, C!2, k2_isocat_1(A!0, k11_cat_2(B!1, C!2), C!2, D!3, G), k2_isocat_1(A!0, k11_cat_2(B!1, C!2), C!2, E, G), k2_isocat_1(A!0, k11_cat_2(B!1, C!2), C!2, F, G), k6_isocat_1(A!0, k11_cat_2(B!1, C!2), C!2, D!3, E, H, G), k6_isocat_1(A!0, k11_cat_2(B!1, C!2), C!2, E, F, I, G)))))))))),
% 18.88/19.06 inference(rewrite,[status(thm)],[])).
% 18.88/19.06 tff(477,plain,
% 18.88/19.06 (((~![D: $i] : ((~m2_cat_1(D, A!0, k11_cat_2(B!1, C!2))) | ![E: $i] : ((~m2_cat_1(E, A!0, k11_cat_2(B!1, C!2))) | ![F: $i] : ((~m2_cat_1(F, A!0, k11_cat_2(B!1, C!2))) | ![G: $i] : ((~m2_cat_1(G, k11_cat_2(B!1, C!2), C!2)) | ![H: $i] : ((~m2_nattra_1(H, A!0, k11_cat_2(B!1, C!2), D, E)) | ![I: $i] : ((~m2_nattra_1(I, A!0, k11_cat_2(B!1, C!2), E, F)) | (~r2_nattra_1(A!0, k11_cat_2(B!1, C!2), D, E)) | (~r2_nattra_1(A!0, k11_cat_2(B!1, C!2), E, F)) | r4_nattra_1(u1_cat_1(A!0), u2_cat_1(C!2), u1_cat_1(A!0), u2_cat_1(C!2), k6_isocat_1(A!0, k11_cat_2(B!1, C!2), C!2, D, F, k8_nattra_1(A!0, k11_cat_2(B!1, C!2), D, E, F, H, I), G), k8_nattra_1(A!0, C!2, k2_isocat_1(A!0, k11_cat_2(B!1, C!2), C!2, D, G), k2_isocat_1(A!0, k11_cat_2(B!1, C!2), C!2, E, G), k2_isocat_1(A!0, k11_cat_2(B!1, C!2), C!2, F, G), k6_isocat_1(A!0, k11_cat_2(B!1, C!2), C!2, D, E, H, G), k6_isocat_1(A!0, k11_cat_2(B!1, C!2), C!2, E, F, I, G)))))))))) | ((~m2_cat_1(D!3, A!0, k11_cat_2(B!1, C!2))) | ![E: $i] : ((~m2_cat_1(E, A!0, k11_cat_2(B!1, C!2))) | ![F: $i] : ((~m2_cat_1(F, A!0, k11_cat_2(B!1, C!2))) | ![G: $i] : ((~m2_cat_1(G, k11_cat_2(B!1, C!2), C!2)) | ![H: $i] : ((~m2_nattra_1(H, A!0, k11_cat_2(B!1, C!2), D!3, E)) | ![I: $i] : ((~m2_nattra_1(I, A!0, k11_cat_2(B!1, C!2), E, F)) | (~r2_nattra_1(A!0, k11_cat_2(B!1, C!2), D!3, E)) | (~r2_nattra_1(A!0, k11_cat_2(B!1, C!2), E, F)) | r4_nattra_1(u1_cat_1(A!0), u2_cat_1(C!2), u1_cat_1(A!0), u2_cat_1(C!2), k6_isocat_1(A!0, k11_cat_2(B!1, C!2), C!2, D!3, F, k8_nattra_1(A!0, k11_cat_2(B!1, C!2), D!3, E, F, H, I), G), k8_nattra_1(A!0, C!2, k2_isocat_1(A!0, k11_cat_2(B!1, C!2), C!2, D!3, G), k2_isocat_1(A!0, k11_cat_2(B!1, C!2), C!2, E, G), k2_isocat_1(A!0, k11_cat_2(B!1, C!2), C!2, F, G), k6_isocat_1(A!0, k11_cat_2(B!1, C!2), C!2, D!3, E, H, G), k6_isocat_1(A!0, k11_cat_2(B!1, C!2), C!2, E, F, I, G)))))))))) <=> ((~![D: $i] : ((~m2_cat_1(D, A!0, k11_cat_2(B!1, C!2))) | ![E: $i] : ((~m2_cat_1(E, A!0, k11_cat_2(B!1, C!2))) | ![F: $i] : ((~m2_cat_1(F, A!0, k11_cat_2(B!1, C!2))) | ![G: $i] : ((~m2_cat_1(G, k11_cat_2(B!1, C!2), C!2)) | ![H: $i] : ((~m2_nattra_1(H, A!0, k11_cat_2(B!1, C!2), D, E)) | ![I: $i] : ((~m2_nattra_1(I, A!0, k11_cat_2(B!1, C!2), E, F)) | (~r2_nattra_1(A!0, k11_cat_2(B!1, C!2), D, E)) | (~r2_nattra_1(A!0, k11_cat_2(B!1, C!2), E, F)) | r4_nattra_1(u1_cat_1(A!0), u2_cat_1(C!2), u1_cat_1(A!0), u2_cat_1(C!2), k6_isocat_1(A!0, k11_cat_2(B!1, C!2), C!2, D, F, k8_nattra_1(A!0, k11_cat_2(B!1, C!2), D, E, F, H, I), G), k8_nattra_1(A!0, C!2, k2_isocat_1(A!0, k11_cat_2(B!1, C!2), C!2, D, G), k2_isocat_1(A!0, k11_cat_2(B!1, C!2), C!2, E, G), k2_isocat_1(A!0, k11_cat_2(B!1, C!2), C!2, F, G), k6_isocat_1(A!0, k11_cat_2(B!1, C!2), C!2, D, E, H, G), k6_isocat_1(A!0, k11_cat_2(B!1, C!2), C!2, E, F, I, G)))))))))) | ((~m2_cat_1(D!3, A!0, k11_cat_2(B!1, C!2))) | ![E: $i] : ((~m2_cat_1(E, A!0, k11_cat_2(B!1, C!2))) | ![F: $i] : ((~m2_cat_1(F, A!0, k11_cat_2(B!1, C!2))) | ![G: $i] : ((~m2_cat_1(G, k11_cat_2(B!1, C!2), C!2)) | ![H: $i] : ((~m2_nattra_1(H, A!0, k11_cat_2(B!1, C!2), D!3, E)) | ![I: $i] : ((~m2_nattra_1(I, A!0, k11_cat_2(B!1, C!2), E, F)) | (~r2_nattra_1(A!0, k11_cat_2(B!1, C!2), E, F)) | (~r2_nattra_1(A!0, k11_cat_2(B!1, C!2), D!3, E)) | r4_nattra_1(u1_cat_1(A!0), u2_cat_1(C!2), u1_cat_1(A!0), u2_cat_1(C!2), k6_isocat_1(A!0, k11_cat_2(B!1, C!2), C!2, D!3, F, k8_nattra_1(A!0, k11_cat_2(B!1, C!2), D!3, E, F, H, I), G), k8_nattra_1(A!0, C!2, k2_isocat_1(A!0, k11_cat_2(B!1, C!2), C!2, D!3, G), k2_isocat_1(A!0, k11_cat_2(B!1, C!2), C!2, E, G), k2_isocat_1(A!0, k11_cat_2(B!1, C!2), C!2, F, G), k6_isocat_1(A!0, k11_cat_2(B!1, C!2), C!2, D!3, E, H, G), k6_isocat_1(A!0, k11_cat_2(B!1, C!2), C!2, E, F, I, G))))))))))),
% 18.88/19.06 inference(monotonicity,[status(thm)],[476])).
% 18.88/19.06 tff(478,plain,
% 18.88/19.06 (((~![D: $i] : ((~m2_cat_1(D, A!0, k11_cat_2(B!1, C!2))) | ![E: $i] : ((~m2_cat_1(E, A!0, k11_cat_2(B!1, C!2))) | ![F: $i] : ((~m2_cat_1(F, A!0, k11_cat_2(B!1, C!2))) | ![G: $i] : ((~m2_cat_1(G, k11_cat_2(B!1, C!2), C!2)) | ![H: $i] : ((~m2_nattra_1(H, A!0, k11_cat_2(B!1, C!2), D, E)) | ![I: $i] : ((~m2_nattra_1(I, A!0, k11_cat_2(B!1, C!2), E, F)) | (~r2_nattra_1(A!0, k11_cat_2(B!1, C!2), D, E)) | (~r2_nattra_1(A!0, k11_cat_2(B!1, C!2), E, F)) | r4_nattra_1(u1_cat_1(A!0), u2_cat_1(C!2), u1_cat_1(A!0), u2_cat_1(C!2), k6_isocat_1(A!0, k11_cat_2(B!1, C!2), C!2, D, F, k8_nattra_1(A!0, k11_cat_2(B!1, C!2), D, E, F, H, I), G), k8_nattra_1(A!0, C!2, k2_isocat_1(A!0, k11_cat_2(B!1, C!2), C!2, D, G), k2_isocat_1(A!0, k11_cat_2(B!1, C!2), C!2, E, G), k2_isocat_1(A!0, k11_cat_2(B!1, C!2), C!2, F, G), k6_isocat_1(A!0, k11_cat_2(B!1, C!2), C!2, D, E, H, G), k6_isocat_1(A!0, k11_cat_2(B!1, C!2), C!2, E, F, I, G)))))))))) | ((~m2_cat_1(D!3, A!0, k11_cat_2(B!1, C!2))) | ![E: $i] : ((~m2_cat_1(E, A!0, k11_cat_2(B!1, C!2))) | ![F: $i] : ((~m2_cat_1(F, A!0, k11_cat_2(B!1, C!2))) | ![G: $i] : ((~m2_cat_1(G, k11_cat_2(B!1, C!2), C!2)) | ![H: $i] : ((~m2_nattra_1(H, A!0, k11_cat_2(B!1, C!2), D!3, E)) | ![I: $i] : ((~m2_nattra_1(I, A!0, k11_cat_2(B!1, C!2), E, F)) | (~r2_nattra_1(A!0, k11_cat_2(B!1, C!2), D!3, E)) | (~r2_nattra_1(A!0, k11_cat_2(B!1, C!2), E, F)) | r4_nattra_1(u1_cat_1(A!0), u2_cat_1(C!2), u1_cat_1(A!0), u2_cat_1(C!2), k6_isocat_1(A!0, k11_cat_2(B!1, C!2), C!2, D!3, F, k8_nattra_1(A!0, k11_cat_2(B!1, C!2), D!3, E, F, H, I), G), k8_nattra_1(A!0, C!2, k2_isocat_1(A!0, k11_cat_2(B!1, C!2), C!2, D!3, G), k2_isocat_1(A!0, k11_cat_2(B!1, C!2), C!2, E, G), k2_isocat_1(A!0, k11_cat_2(B!1, C!2), C!2, F, G), k6_isocat_1(A!0, k11_cat_2(B!1, C!2), C!2, D!3, E, H, G), k6_isocat_1(A!0, k11_cat_2(B!1, C!2), C!2, E, F, I, G)))))))))) <=> ((~![D: $i] : ((~m2_cat_1(D, A!0, k11_cat_2(B!1, C!2))) | ![E: $i] : ((~m2_cat_1(E, A!0, k11_cat_2(B!1, C!2))) | ![F: $i] : ((~m2_cat_1(F, A!0, k11_cat_2(B!1, C!2))) | ![G: $i] : ((~m2_cat_1(G, k11_cat_2(B!1, C!2), C!2)) | ![H: $i] : ((~m2_nattra_1(H, A!0, k11_cat_2(B!1, C!2), D, E)) | ![I: $i] : ((~m2_nattra_1(I, A!0, k11_cat_2(B!1, C!2), E, F)) | (~r2_nattra_1(A!0, k11_cat_2(B!1, C!2), D, E)) | (~r2_nattra_1(A!0, k11_cat_2(B!1, C!2), E, F)) | r4_nattra_1(u1_cat_1(A!0), u2_cat_1(C!2), u1_cat_1(A!0), u2_cat_1(C!2), k6_isocat_1(A!0, k11_cat_2(B!1, C!2), C!2, D, F, k8_nattra_1(A!0, k11_cat_2(B!1, C!2), D, E, F, H, I), G), k8_nattra_1(A!0, C!2, k2_isocat_1(A!0, k11_cat_2(B!1, C!2), C!2, D, G), k2_isocat_1(A!0, k11_cat_2(B!1, C!2), C!2, E, G), k2_isocat_1(A!0, k11_cat_2(B!1, C!2), C!2, F, G), k6_isocat_1(A!0, k11_cat_2(B!1, C!2), C!2, D, E, H, G), k6_isocat_1(A!0, k11_cat_2(B!1, C!2), C!2, E, F, I, G)))))))))) | (~m2_cat_1(D!3, A!0, k11_cat_2(B!1, C!2))) | ![E: $i] : ((~m2_cat_1(E, A!0, k11_cat_2(B!1, C!2))) | ![F: $i] : ((~m2_cat_1(F, A!0, k11_cat_2(B!1, C!2))) | ![G: $i] : ((~m2_cat_1(G, k11_cat_2(B!1, C!2), C!2)) | ![H: $i] : ((~m2_nattra_1(H, A!0, k11_cat_2(B!1, C!2), D!3, E)) | ![I: $i] : ((~m2_nattra_1(I, A!0, k11_cat_2(B!1, C!2), E, F)) | (~r2_nattra_1(A!0, k11_cat_2(B!1, C!2), E, F)) | (~r2_nattra_1(A!0, k11_cat_2(B!1, C!2), D!3, E)) | r4_nattra_1(u1_cat_1(A!0), u2_cat_1(C!2), u1_cat_1(A!0), u2_cat_1(C!2), k6_isocat_1(A!0, k11_cat_2(B!1, C!2), C!2, D!3, F, k8_nattra_1(A!0, k11_cat_2(B!1, C!2), D!3, E, F, H, I), G), k8_nattra_1(A!0, C!2, k2_isocat_1(A!0, k11_cat_2(B!1, C!2), C!2, D!3, G), k2_isocat_1(A!0, k11_cat_2(B!1, C!2), C!2, E, G), k2_isocat_1(A!0, k11_cat_2(B!1, C!2), C!2, F, G), k6_isocat_1(A!0, k11_cat_2(B!1, C!2), C!2, D!3, E, H, G), k6_isocat_1(A!0, k11_cat_2(B!1, C!2), C!2, E, F, I, G)))))))))),
% 18.88/19.06 inference(transitivity,[status(thm)],[477, 475])).
% 18.88/19.06 tff(479,plain,
% 18.88/19.06 ((~![D: $i] : ((~m2_cat_1(D, A!0, k11_cat_2(B!1, C!2))) | ![E: $i] : ((~m2_cat_1(E, A!0, k11_cat_2(B!1, C!2))) | ![F: $i] : ((~m2_cat_1(F, A!0, k11_cat_2(B!1, C!2))) | ![G: $i] : ((~m2_cat_1(G, k11_cat_2(B!1, C!2), C!2)) | ![H: $i] : ((~m2_nattra_1(H, A!0, k11_cat_2(B!1, C!2), D, E)) | ![I: $i] : ((~m2_nattra_1(I, A!0, k11_cat_2(B!1, C!2), E, F)) | (~r2_nattra_1(A!0, k11_cat_2(B!1, C!2), D, E)) | (~r2_nattra_1(A!0, k11_cat_2(B!1, C!2), E, F)) | r4_nattra_1(u1_cat_1(A!0), u2_cat_1(C!2), u1_cat_1(A!0), u2_cat_1(C!2), k6_isocat_1(A!0, k11_cat_2(B!1, C!2), C!2, D, F, k8_nattra_1(A!0, k11_cat_2(B!1, C!2), D, E, F, H, I), G), k8_nattra_1(A!0, C!2, k2_isocat_1(A!0, k11_cat_2(B!1, C!2), C!2, D, G), k2_isocat_1(A!0, k11_cat_2(B!1, C!2), C!2, E, G), k2_isocat_1(A!0, k11_cat_2(B!1, C!2), C!2, F, G), k6_isocat_1(A!0, k11_cat_2(B!1, C!2), C!2, D, E, H, G), k6_isocat_1(A!0, k11_cat_2(B!1, C!2), C!2, E, F, I, G)))))))))) | ((~m2_cat_1(D!3, A!0, k11_cat_2(B!1, C!2))) | ![E: $i] : ((~m2_cat_1(E, A!0, k11_cat_2(B!1, C!2))) | ![F: $i] : ((~m2_cat_1(F, A!0, k11_cat_2(B!1, C!2))) | ![G: $i] : ((~m2_cat_1(G, k11_cat_2(B!1, C!2), C!2)) | ![H: $i] : ((~m2_nattra_1(H, A!0, k11_cat_2(B!1, C!2), D!3, E)) | ![I: $i] : ((~m2_nattra_1(I, A!0, k11_cat_2(B!1, C!2), E, F)) | (~r2_nattra_1(A!0, k11_cat_2(B!1, C!2), D!3, E)) | (~r2_nattra_1(A!0, k11_cat_2(B!1, C!2), E, F)) | r4_nattra_1(u1_cat_1(A!0), u2_cat_1(C!2), u1_cat_1(A!0), u2_cat_1(C!2), k6_isocat_1(A!0, k11_cat_2(B!1, C!2), C!2, D!3, F, k8_nattra_1(A!0, k11_cat_2(B!1, C!2), D!3, E, F, H, I), G), k8_nattra_1(A!0, C!2, k2_isocat_1(A!0, k11_cat_2(B!1, C!2), C!2, D!3, G), k2_isocat_1(A!0, k11_cat_2(B!1, C!2), C!2, E, G), k2_isocat_1(A!0, k11_cat_2(B!1, C!2), C!2, F, G), k6_isocat_1(A!0, k11_cat_2(B!1, C!2), C!2, D!3, E, H, G), k6_isocat_1(A!0, k11_cat_2(B!1, C!2), C!2, E, F, I, G)))))))))),
% 18.88/19.06 inference(quant_inst,[status(thm)],[])).
% 18.88/19.06 tff(480,plain,
% 18.88/19.06 ((~![D: $i] : ((~m2_cat_1(D, A!0, k11_cat_2(B!1, C!2))) | ![E: $i] : ((~m2_cat_1(E, A!0, k11_cat_2(B!1, C!2))) | ![F: $i] : ((~m2_cat_1(F, A!0, k11_cat_2(B!1, C!2))) | ![G: $i] : ((~m2_cat_1(G, k11_cat_2(B!1, C!2), C!2)) | ![H: $i] : ((~m2_nattra_1(H, A!0, k11_cat_2(B!1, C!2), D, E)) | ![I: $i] : ((~m2_nattra_1(I, A!0, k11_cat_2(B!1, C!2), E, F)) | (~r2_nattra_1(A!0, k11_cat_2(B!1, C!2), D, E)) | (~r2_nattra_1(A!0, k11_cat_2(B!1, C!2), E, F)) | r4_nattra_1(u1_cat_1(A!0), u2_cat_1(C!2), u1_cat_1(A!0), u2_cat_1(C!2), k6_isocat_1(A!0, k11_cat_2(B!1, C!2), C!2, D, F, k8_nattra_1(A!0, k11_cat_2(B!1, C!2), D, E, F, H, I), G), k8_nattra_1(A!0, C!2, k2_isocat_1(A!0, k11_cat_2(B!1, C!2), C!2, D, G), k2_isocat_1(A!0, k11_cat_2(B!1, C!2), C!2, E, G), k2_isocat_1(A!0, k11_cat_2(B!1, C!2), C!2, F, G), k6_isocat_1(A!0, k11_cat_2(B!1, C!2), C!2, D, E, H, G), k6_isocat_1(A!0, k11_cat_2(B!1, C!2), C!2, E, F, I, G)))))))))) | (~m2_cat_1(D!3, A!0, k11_cat_2(B!1, C!2))) | ![E: $i] : ((~m2_cat_1(E, A!0, k11_cat_2(B!1, C!2))) | ![F: $i] : ((~m2_cat_1(F, A!0, k11_cat_2(B!1, C!2))) | ![G: $i] : ((~m2_cat_1(G, k11_cat_2(B!1, C!2), C!2)) | ![H: $i] : ((~m2_nattra_1(H, A!0, k11_cat_2(B!1, C!2), D!3, E)) | ![I: $i] : ((~m2_nattra_1(I, A!0, k11_cat_2(B!1, C!2), E, F)) | (~r2_nattra_1(A!0, k11_cat_2(B!1, C!2), E, F)) | (~r2_nattra_1(A!0, k11_cat_2(B!1, C!2), D!3, E)) | r4_nattra_1(u1_cat_1(A!0), u2_cat_1(C!2), u1_cat_1(A!0), u2_cat_1(C!2), k6_isocat_1(A!0, k11_cat_2(B!1, C!2), C!2, D!3, F, k8_nattra_1(A!0, k11_cat_2(B!1, C!2), D!3, E, F, H, I), G), k8_nattra_1(A!0, C!2, k2_isocat_1(A!0, k11_cat_2(B!1, C!2), C!2, D!3, G), k2_isocat_1(A!0, k11_cat_2(B!1, C!2), C!2, E, G), k2_isocat_1(A!0, k11_cat_2(B!1, C!2), C!2, F, G), k6_isocat_1(A!0, k11_cat_2(B!1, C!2), C!2, D!3, E, H, G), k6_isocat_1(A!0, k11_cat_2(B!1, C!2), C!2, E, F, I, G))))))))),
% 18.88/19.06 inference(modus_ponens,[status(thm)],[479, 478])).
% 18.88/19.06 tff(481,plain,
% 18.88/19.06 (![E: $i] : ((~m2_cat_1(E, A!0, k11_cat_2(B!1, C!2))) | ![F: $i] : ((~m2_cat_1(F, A!0, k11_cat_2(B!1, C!2))) | ![G: $i] : ((~m2_cat_1(G, k11_cat_2(B!1, C!2), C!2)) | ![H: $i] : ((~m2_nattra_1(H, A!0, k11_cat_2(B!1, C!2), D!3, E)) | ![I: $i] : ((~m2_nattra_1(I, A!0, k11_cat_2(B!1, C!2), E, F)) | (~r2_nattra_1(A!0, k11_cat_2(B!1, C!2), E, F)) | (~r2_nattra_1(A!0, k11_cat_2(B!1, C!2), D!3, E)) | r4_nattra_1(u1_cat_1(A!0), u2_cat_1(C!2), u1_cat_1(A!0), u2_cat_1(C!2), k6_isocat_1(A!0, k11_cat_2(B!1, C!2), C!2, D!3, F, k8_nattra_1(A!0, k11_cat_2(B!1, C!2), D!3, E, F, H, I), G), k8_nattra_1(A!0, C!2, k2_isocat_1(A!0, k11_cat_2(B!1, C!2), C!2, D!3, G), k2_isocat_1(A!0, k11_cat_2(B!1, C!2), C!2, E, G), k2_isocat_1(A!0, k11_cat_2(B!1, C!2), C!2, F, G), k6_isocat_1(A!0, k11_cat_2(B!1, C!2), C!2, D!3, E, H, G), k6_isocat_1(A!0, k11_cat_2(B!1, C!2), C!2, E, F, I, G))))))))),
% 18.88/19.06 inference(unit_resolution,[status(thm)],[480, 102, 474])).
% 18.88/19.06 tff(482,plain,
% 18.88/19.06 (((~![E: $i] : ((~m2_cat_1(E, A!0, k11_cat_2(B!1, C!2))) | ![F: $i] : ((~m2_cat_1(F, A!0, k11_cat_2(B!1, C!2))) | ![G: $i] : ((~m2_cat_1(G, k11_cat_2(B!1, C!2), C!2)) | ![H: $i] : ((~m2_nattra_1(H, A!0, k11_cat_2(B!1, C!2), D!3, E)) | ![I: $i] : ((~m2_nattra_1(I, A!0, k11_cat_2(B!1, C!2), E, F)) | (~r2_nattra_1(A!0, k11_cat_2(B!1, C!2), E, F)) | (~r2_nattra_1(A!0, k11_cat_2(B!1, C!2), D!3, E)) | r4_nattra_1(u1_cat_1(A!0), u2_cat_1(C!2), u1_cat_1(A!0), u2_cat_1(C!2), k6_isocat_1(A!0, k11_cat_2(B!1, C!2), C!2, D!3, F, k8_nattra_1(A!0, k11_cat_2(B!1, C!2), D!3, E, F, H, I), G), k8_nattra_1(A!0, C!2, k2_isocat_1(A!0, k11_cat_2(B!1, C!2), C!2, D!3, G), k2_isocat_1(A!0, k11_cat_2(B!1, C!2), C!2, E, G), k2_isocat_1(A!0, k11_cat_2(B!1, C!2), C!2, F, G), k6_isocat_1(A!0, k11_cat_2(B!1, C!2), C!2, D!3, E, H, G), k6_isocat_1(A!0, k11_cat_2(B!1, C!2), C!2, E, F, I, G))))))))) | ((~m2_cat_1(E!4, A!0, k11_cat_2(B!1, C!2))) | ![F: $i] : ((~m2_cat_1(F, A!0, k11_cat_2(B!1, C!2))) | ![G: $i] : ((~m2_cat_1(G, k11_cat_2(B!1, C!2), C!2)) | ![H: $i] : ((~m2_nattra_1(H, A!0, k11_cat_2(B!1, C!2), D!3, E!4)) | ![I: $i] : ((~m2_nattra_1(I, A!0, k11_cat_2(B!1, C!2), E!4, F)) | (~r2_nattra_1(A!0, k11_cat_2(B!1, C!2), E!4, F)) | (~r2_nattra_1(A!0, k11_cat_2(B!1, C!2), D!3, E!4)) | r4_nattra_1(u1_cat_1(A!0), u2_cat_1(C!2), u1_cat_1(A!0), u2_cat_1(C!2), k6_isocat_1(A!0, k11_cat_2(B!1, C!2), C!2, D!3, F, k8_nattra_1(A!0, k11_cat_2(B!1, C!2), D!3, E!4, F, H, I), G), k8_nattra_1(A!0, C!2, k2_isocat_1(A!0, k11_cat_2(B!1, C!2), C!2, D!3, G), k2_isocat_1(A!0, k11_cat_2(B!1, C!2), C!2, E!4, G), k2_isocat_1(A!0, k11_cat_2(B!1, C!2), C!2, F, G), k6_isocat_1(A!0, k11_cat_2(B!1, C!2), C!2, D!3, E!4, H, G), k6_isocat_1(A!0, k11_cat_2(B!1, C!2), C!2, E!4, F, I, G))))))))) <=> ((~![E: $i] : ((~m2_cat_1(E, A!0, k11_cat_2(B!1, C!2))) | ![F: $i] : ((~m2_cat_1(F, A!0, k11_cat_2(B!1, C!2))) | ![G: $i] : ((~m2_cat_1(G, k11_cat_2(B!1, C!2), C!2)) | ![H: $i] : ((~m2_nattra_1(H, A!0, k11_cat_2(B!1, C!2), D!3, E)) | ![I: $i] : ((~m2_nattra_1(I, A!0, k11_cat_2(B!1, C!2), E, F)) | (~r2_nattra_1(A!0, k11_cat_2(B!1, C!2), E, F)) | (~r2_nattra_1(A!0, k11_cat_2(B!1, C!2), D!3, E)) | r4_nattra_1(u1_cat_1(A!0), u2_cat_1(C!2), u1_cat_1(A!0), u2_cat_1(C!2), k6_isocat_1(A!0, k11_cat_2(B!1, C!2), C!2, D!3, F, k8_nattra_1(A!0, k11_cat_2(B!1, C!2), D!3, E, F, H, I), G), k8_nattra_1(A!0, C!2, k2_isocat_1(A!0, k11_cat_2(B!1, C!2), C!2, D!3, G), k2_isocat_1(A!0, k11_cat_2(B!1, C!2), C!2, E, G), k2_isocat_1(A!0, k11_cat_2(B!1, C!2), C!2, F, G), k6_isocat_1(A!0, k11_cat_2(B!1, C!2), C!2, D!3, E, H, G), k6_isocat_1(A!0, k11_cat_2(B!1, C!2), C!2, E, F, I, G))))))))) | (~m2_cat_1(E!4, A!0, k11_cat_2(B!1, C!2))) | ![F: $i] : ((~m2_cat_1(F, A!0, k11_cat_2(B!1, C!2))) | ![G: $i] : ((~m2_cat_1(G, k11_cat_2(B!1, C!2), C!2)) | ![H: $i] : ((~m2_nattra_1(H, A!0, k11_cat_2(B!1, C!2), D!3, E!4)) | ![I: $i] : ((~m2_nattra_1(I, A!0, k11_cat_2(B!1, C!2), E!4, F)) | (~r2_nattra_1(A!0, k11_cat_2(B!1, C!2), E!4, F)) | (~r2_nattra_1(A!0, k11_cat_2(B!1, C!2), D!3, E!4)) | r4_nattra_1(u1_cat_1(A!0), u2_cat_1(C!2), u1_cat_1(A!0), u2_cat_1(C!2), k6_isocat_1(A!0, k11_cat_2(B!1, C!2), C!2, D!3, F, k8_nattra_1(A!0, k11_cat_2(B!1, C!2), D!3, E!4, F, H, I), G), k8_nattra_1(A!0, C!2, k2_isocat_1(A!0, k11_cat_2(B!1, C!2), C!2, D!3, G), k2_isocat_1(A!0, k11_cat_2(B!1, C!2), C!2, E!4, G), k2_isocat_1(A!0, k11_cat_2(B!1, C!2), C!2, F, G), k6_isocat_1(A!0, k11_cat_2(B!1, C!2), C!2, D!3, E!4, H, G), k6_isocat_1(A!0, k11_cat_2(B!1, C!2), C!2, E!4, F, I, G))))))))),
% 18.88/19.07 inference(rewrite,[status(thm)],[])).
% 18.88/19.07 tff(483,plain,
% 18.88/19.07 ((~![E: $i] : ((~m2_cat_1(E, A!0, k11_cat_2(B!1, C!2))) | ![F: $i] : ((~m2_cat_1(F, A!0, k11_cat_2(B!1, C!2))) | ![G: $i] : ((~m2_cat_1(G, k11_cat_2(B!1, C!2), C!2)) | ![H: $i] : ((~m2_nattra_1(H, A!0, k11_cat_2(B!1, C!2), D!3, E)) | ![I: $i] : ((~m2_nattra_1(I, A!0, k11_cat_2(B!1, C!2), E, F)) | (~r2_nattra_1(A!0, k11_cat_2(B!1, C!2), E, F)) | (~r2_nattra_1(A!0, k11_cat_2(B!1, C!2), D!3, E)) | r4_nattra_1(u1_cat_1(A!0), u2_cat_1(C!2), u1_cat_1(A!0), u2_cat_1(C!2), k6_isocat_1(A!0, k11_cat_2(B!1, C!2), C!2, D!3, F, k8_nattra_1(A!0, k11_cat_2(B!1, C!2), D!3, E, F, H, I), G), k8_nattra_1(A!0, C!2, k2_isocat_1(A!0, k11_cat_2(B!1, C!2), C!2, D!3, G), k2_isocat_1(A!0, k11_cat_2(B!1, C!2), C!2, E, G), k2_isocat_1(A!0, k11_cat_2(B!1, C!2), C!2, F, G), k6_isocat_1(A!0, k11_cat_2(B!1, C!2), C!2, D!3, E, H, G), k6_isocat_1(A!0, k11_cat_2(B!1, C!2), C!2, E, F, I, G))))))))) | ((~m2_cat_1(E!4, A!0, k11_cat_2(B!1, C!2))) | ![F: $i] : ((~m2_cat_1(F, A!0, k11_cat_2(B!1, C!2))) | ![G: $i] : ((~m2_cat_1(G, k11_cat_2(B!1, C!2), C!2)) | ![H: $i] : ((~m2_nattra_1(H, A!0, k11_cat_2(B!1, C!2), D!3, E!4)) | ![I: $i] : ((~m2_nattra_1(I, A!0, k11_cat_2(B!1, C!2), E!4, F)) | (~r2_nattra_1(A!0, k11_cat_2(B!1, C!2), E!4, F)) | (~r2_nattra_1(A!0, k11_cat_2(B!1, C!2), D!3, E!4)) | r4_nattra_1(u1_cat_1(A!0), u2_cat_1(C!2), u1_cat_1(A!0), u2_cat_1(C!2), k6_isocat_1(A!0, k11_cat_2(B!1, C!2), C!2, D!3, F, k8_nattra_1(A!0, k11_cat_2(B!1, C!2), D!3, E!4, F, H, I), G), k8_nattra_1(A!0, C!2, k2_isocat_1(A!0, k11_cat_2(B!1, C!2), C!2, D!3, G), k2_isocat_1(A!0, k11_cat_2(B!1, C!2), C!2, E!4, G), k2_isocat_1(A!0, k11_cat_2(B!1, C!2), C!2, F, G), k6_isocat_1(A!0, k11_cat_2(B!1, C!2), C!2, D!3, E!4, H, G), k6_isocat_1(A!0, k11_cat_2(B!1, C!2), C!2, E!4, F, I, G))))))))),
% 18.88/19.07 inference(quant_inst,[status(thm)],[])).
% 18.88/19.07 tff(484,plain,
% 18.88/19.07 ((~![E: $i] : ((~m2_cat_1(E, A!0, k11_cat_2(B!1, C!2))) | ![F: $i] : ((~m2_cat_1(F, A!0, k11_cat_2(B!1, C!2))) | ![G: $i] : ((~m2_cat_1(G, k11_cat_2(B!1, C!2), C!2)) | ![H: $i] : ((~m2_nattra_1(H, A!0, k11_cat_2(B!1, C!2), D!3, E)) | ![I: $i] : ((~m2_nattra_1(I, A!0, k11_cat_2(B!1, C!2), E, F)) | (~r2_nattra_1(A!0, k11_cat_2(B!1, C!2), E, F)) | (~r2_nattra_1(A!0, k11_cat_2(B!1, C!2), D!3, E)) | r4_nattra_1(u1_cat_1(A!0), u2_cat_1(C!2), u1_cat_1(A!0), u2_cat_1(C!2), k6_isocat_1(A!0, k11_cat_2(B!1, C!2), C!2, D!3, F, k8_nattra_1(A!0, k11_cat_2(B!1, C!2), D!3, E, F, H, I), G), k8_nattra_1(A!0, C!2, k2_isocat_1(A!0, k11_cat_2(B!1, C!2), C!2, D!3, G), k2_isocat_1(A!0, k11_cat_2(B!1, C!2), C!2, E, G), k2_isocat_1(A!0, k11_cat_2(B!1, C!2), C!2, F, G), k6_isocat_1(A!0, k11_cat_2(B!1, C!2), C!2, D!3, E, H, G), k6_isocat_1(A!0, k11_cat_2(B!1, C!2), C!2, E, F, I, G))))))))) | (~m2_cat_1(E!4, A!0, k11_cat_2(B!1, C!2))) | ![F: $i] : ((~m2_cat_1(F, A!0, k11_cat_2(B!1, C!2))) | ![G: $i] : ((~m2_cat_1(G, k11_cat_2(B!1, C!2), C!2)) | ![H: $i] : ((~m2_nattra_1(H, A!0, k11_cat_2(B!1, C!2), D!3, E!4)) | ![I: $i] : ((~m2_nattra_1(I, A!0, k11_cat_2(B!1, C!2), E!4, F)) | (~r2_nattra_1(A!0, k11_cat_2(B!1, C!2), E!4, F)) | (~r2_nattra_1(A!0, k11_cat_2(B!1, C!2), D!3, E!4)) | r4_nattra_1(u1_cat_1(A!0), u2_cat_1(C!2), u1_cat_1(A!0), u2_cat_1(C!2), k6_isocat_1(A!0, k11_cat_2(B!1, C!2), C!2, D!3, F, k8_nattra_1(A!0, k11_cat_2(B!1, C!2), D!3, E!4, F, H, I), G), k8_nattra_1(A!0, C!2, k2_isocat_1(A!0, k11_cat_2(B!1, C!2), C!2, D!3, G), k2_isocat_1(A!0, k11_cat_2(B!1, C!2), C!2, E!4, G), k2_isocat_1(A!0, k11_cat_2(B!1, C!2), C!2, F, G), k6_isocat_1(A!0, k11_cat_2(B!1, C!2), C!2, D!3, E!4, H, G), k6_isocat_1(A!0, k11_cat_2(B!1, C!2), C!2, E!4, F, I, G)))))))),
% 18.88/19.07 inference(modus_ponens,[status(thm)],[483, 482])).
% 18.88/19.07 tff(485,plain,
% 18.88/19.07 (![F: $i] : ((~m2_cat_1(F, A!0, k11_cat_2(B!1, C!2))) | ![G: $i] : ((~m2_cat_1(G, k11_cat_2(B!1, C!2), C!2)) | ![H: $i] : ((~m2_nattra_1(H, A!0, k11_cat_2(B!1, C!2), D!3, E!4)) | ![I: $i] : ((~m2_nattra_1(I, A!0, k11_cat_2(B!1, C!2), E!4, F)) | (~r2_nattra_1(A!0, k11_cat_2(B!1, C!2), E!4, F)) | (~r2_nattra_1(A!0, k11_cat_2(B!1, C!2), D!3, E!4)) | r4_nattra_1(u1_cat_1(A!0), u2_cat_1(C!2), u1_cat_1(A!0), u2_cat_1(C!2), k6_isocat_1(A!0, k11_cat_2(B!1, C!2), C!2, D!3, F, k8_nattra_1(A!0, k11_cat_2(B!1, C!2), D!3, E!4, F, H, I), G), k8_nattra_1(A!0, C!2, k2_isocat_1(A!0, k11_cat_2(B!1, C!2), C!2, D!3, G), k2_isocat_1(A!0, k11_cat_2(B!1, C!2), C!2, E!4, G), k2_isocat_1(A!0, k11_cat_2(B!1, C!2), C!2, F, G), k6_isocat_1(A!0, k11_cat_2(B!1, C!2), C!2, D!3, E!4, H, G), k6_isocat_1(A!0, k11_cat_2(B!1, C!2), C!2, E!4, F, I, G)))))))),
% 18.88/19.07 inference(unit_resolution,[status(thm)],[484, 62, 481])).
% 18.88/19.07 tff(486,plain,
% 18.88/19.07 (((~![F: $i] : ((~m2_cat_1(F, A!0, k11_cat_2(B!1, C!2))) | ![G: $i] : ((~m2_cat_1(G, k11_cat_2(B!1, C!2), C!2)) | ![H: $i] : ((~m2_nattra_1(H, A!0, k11_cat_2(B!1, C!2), D!3, E!4)) | ![I: $i] : ((~m2_nattra_1(I, A!0, k11_cat_2(B!1, C!2), E!4, F)) | (~r2_nattra_1(A!0, k11_cat_2(B!1, C!2), E!4, F)) | (~r2_nattra_1(A!0, k11_cat_2(B!1, C!2), D!3, E!4)) | r4_nattra_1(u1_cat_1(A!0), u2_cat_1(C!2), u1_cat_1(A!0), u2_cat_1(C!2), k6_isocat_1(A!0, k11_cat_2(B!1, C!2), C!2, D!3, F, k8_nattra_1(A!0, k11_cat_2(B!1, C!2), D!3, E!4, F, H, I), G), k8_nattra_1(A!0, C!2, k2_isocat_1(A!0, k11_cat_2(B!1, C!2), C!2, D!3, G), k2_isocat_1(A!0, k11_cat_2(B!1, C!2), C!2, E!4, G), k2_isocat_1(A!0, k11_cat_2(B!1, C!2), C!2, F, G), k6_isocat_1(A!0, k11_cat_2(B!1, C!2), C!2, D!3, E!4, H, G), k6_isocat_1(A!0, k11_cat_2(B!1, C!2), C!2, E!4, F, I, G)))))))) | ((~m2_cat_1(F!5, A!0, k11_cat_2(B!1, C!2))) | ![G: $i] : ((~m2_cat_1(G, k11_cat_2(B!1, C!2), C!2)) | ![H: $i] : ((~m2_nattra_1(H, A!0, k11_cat_2(B!1, C!2), D!3, E!4)) | ![I: $i] : ((~m2_nattra_1(I, A!0, k11_cat_2(B!1, C!2), E!4, F!5)) | (~r2_nattra_1(A!0, k11_cat_2(B!1, C!2), D!3, E!4)) | (~r2_nattra_1(A!0, k11_cat_2(B!1, C!2), E!4, F!5)) | r4_nattra_1(u1_cat_1(A!0), u2_cat_1(C!2), u1_cat_1(A!0), u2_cat_1(C!2), k6_isocat_1(A!0, k11_cat_2(B!1, C!2), C!2, D!3, F!5, k8_nattra_1(A!0, k11_cat_2(B!1, C!2), D!3, E!4, F!5, H, I), G), k8_nattra_1(A!0, C!2, k2_isocat_1(A!0, k11_cat_2(B!1, C!2), C!2, D!3, G), k2_isocat_1(A!0, k11_cat_2(B!1, C!2), C!2, E!4, G), k2_isocat_1(A!0, k11_cat_2(B!1, C!2), C!2, F!5, G), k6_isocat_1(A!0, k11_cat_2(B!1, C!2), C!2, D!3, E!4, H, G), k6_isocat_1(A!0, k11_cat_2(B!1, C!2), C!2, E!4, F!5, I, G)))))))) <=> ((~![F: $i] : ((~m2_cat_1(F, A!0, k11_cat_2(B!1, C!2))) | ![G: $i] : ((~m2_cat_1(G, k11_cat_2(B!1, C!2), C!2)) | ![H: $i] : ((~m2_nattra_1(H, A!0, k11_cat_2(B!1, C!2), D!3, E!4)) | ![I: $i] : ((~m2_nattra_1(I, A!0, k11_cat_2(B!1, C!2), E!4, F)) | (~r2_nattra_1(A!0, k11_cat_2(B!1, C!2), E!4, F)) | (~r2_nattra_1(A!0, k11_cat_2(B!1, C!2), D!3, E!4)) | r4_nattra_1(u1_cat_1(A!0), u2_cat_1(C!2), u1_cat_1(A!0), u2_cat_1(C!2), k6_isocat_1(A!0, k11_cat_2(B!1, C!2), C!2, D!3, F, k8_nattra_1(A!0, k11_cat_2(B!1, C!2), D!3, E!4, F, H, I), G), k8_nattra_1(A!0, C!2, k2_isocat_1(A!0, k11_cat_2(B!1, C!2), C!2, D!3, G), k2_isocat_1(A!0, k11_cat_2(B!1, C!2), C!2, E!4, G), k2_isocat_1(A!0, k11_cat_2(B!1, C!2), C!2, F, G), k6_isocat_1(A!0, k11_cat_2(B!1, C!2), C!2, D!3, E!4, H, G), k6_isocat_1(A!0, k11_cat_2(B!1, C!2), C!2, E!4, F, I, G)))))))) | (~m2_cat_1(F!5, A!0, k11_cat_2(B!1, C!2))) | ![G: $i] : ((~m2_cat_1(G, k11_cat_2(B!1, C!2), C!2)) | ![H: $i] : ((~m2_nattra_1(H, A!0, k11_cat_2(B!1, C!2), D!3, E!4)) | ![I: $i] : ((~m2_nattra_1(I, A!0, k11_cat_2(B!1, C!2), E!4, F!5)) | (~r2_nattra_1(A!0, k11_cat_2(B!1, C!2), D!3, E!4)) | (~r2_nattra_1(A!0, k11_cat_2(B!1, C!2), E!4, F!5)) | r4_nattra_1(u1_cat_1(A!0), u2_cat_1(C!2), u1_cat_1(A!0), u2_cat_1(C!2), k6_isocat_1(A!0, k11_cat_2(B!1, C!2), C!2, D!3, F!5, k8_nattra_1(A!0, k11_cat_2(B!1, C!2), D!3, E!4, F!5, H, I), G), k8_nattra_1(A!0, C!2, k2_isocat_1(A!0, k11_cat_2(B!1, C!2), C!2, D!3, G), k2_isocat_1(A!0, k11_cat_2(B!1, C!2), C!2, E!4, G), k2_isocat_1(A!0, k11_cat_2(B!1, C!2), C!2, F!5, G), k6_isocat_1(A!0, k11_cat_2(B!1, C!2), C!2, D!3, E!4, H, G), k6_isocat_1(A!0, k11_cat_2(B!1, C!2), C!2, E!4, F!5, I, G)))))))),
% 18.88/19.07 inference(rewrite,[status(thm)],[])).
% 18.88/19.07 tff(487,plain,
% 18.88/19.07 (((~m2_cat_1(F!5, A!0, k11_cat_2(B!1, C!2))) | ![G: $i] : ((~m2_cat_1(G, k11_cat_2(B!1, C!2), C!2)) | ![H: $i] : ((~m2_nattra_1(H, A!0, k11_cat_2(B!1, C!2), D!3, E!4)) | ![I: $i] : ((~m2_nattra_1(I, A!0, k11_cat_2(B!1, C!2), E!4, F!5)) | (~r2_nattra_1(A!0, k11_cat_2(B!1, C!2), E!4, F!5)) | (~r2_nattra_1(A!0, k11_cat_2(B!1, C!2), D!3, E!4)) | r4_nattra_1(u1_cat_1(A!0), u2_cat_1(C!2), u1_cat_1(A!0), u2_cat_1(C!2), k6_isocat_1(A!0, k11_cat_2(B!1, C!2), C!2, D!3, F!5, k8_nattra_1(A!0, k11_cat_2(B!1, C!2), D!3, E!4, F!5, H, I), G), k8_nattra_1(A!0, C!2, k2_isocat_1(A!0, k11_cat_2(B!1, C!2), C!2, D!3, G), k2_isocat_1(A!0, k11_cat_2(B!1, C!2), C!2, E!4, G), k2_isocat_1(A!0, k11_cat_2(B!1, C!2), C!2, F!5, G), k6_isocat_1(A!0, k11_cat_2(B!1, C!2), C!2, D!3, E!4, H, G), k6_isocat_1(A!0, k11_cat_2(B!1, C!2), C!2, E!4, F!5, I, G))))))) <=> ((~m2_cat_1(F!5, A!0, k11_cat_2(B!1, C!2))) | ![G: $i] : ((~m2_cat_1(G, k11_cat_2(B!1, C!2), C!2)) | ![H: $i] : ((~m2_nattra_1(H, A!0, k11_cat_2(B!1, C!2), D!3, E!4)) | ![I: $i] : ((~m2_nattra_1(I, A!0, k11_cat_2(B!1, C!2), E!4, F!5)) | (~r2_nattra_1(A!0, k11_cat_2(B!1, C!2), D!3, E!4)) | (~r2_nattra_1(A!0, k11_cat_2(B!1, C!2), E!4, F!5)) | r4_nattra_1(u1_cat_1(A!0), u2_cat_1(C!2), u1_cat_1(A!0), u2_cat_1(C!2), k6_isocat_1(A!0, k11_cat_2(B!1, C!2), C!2, D!3, F!5, k8_nattra_1(A!0, k11_cat_2(B!1, C!2), D!3, E!4, F!5, H, I), G), k8_nattra_1(A!0, C!2, k2_isocat_1(A!0, k11_cat_2(B!1, C!2), C!2, D!3, G), k2_isocat_1(A!0, k11_cat_2(B!1, C!2), C!2, E!4, G), k2_isocat_1(A!0, k11_cat_2(B!1, C!2), C!2, F!5, G), k6_isocat_1(A!0, k11_cat_2(B!1, C!2), C!2, D!3, E!4, H, G), k6_isocat_1(A!0, k11_cat_2(B!1, C!2), C!2, E!4, F!5, I, G)))))))),
% 18.88/19.07 inference(rewrite,[status(thm)],[])).
% 18.88/19.07 tff(488,plain,
% 18.88/19.07 (((~![F: $i] : ((~m2_cat_1(F, A!0, k11_cat_2(B!1, C!2))) | ![G: $i] : ((~m2_cat_1(G, k11_cat_2(B!1, C!2), C!2)) | ![H: $i] : ((~m2_nattra_1(H, A!0, k11_cat_2(B!1, C!2), D!3, E!4)) | ![I: $i] : ((~m2_nattra_1(I, A!0, k11_cat_2(B!1, C!2), E!4, F)) | (~r2_nattra_1(A!0, k11_cat_2(B!1, C!2), E!4, F)) | (~r2_nattra_1(A!0, k11_cat_2(B!1, C!2), D!3, E!4)) | r4_nattra_1(u1_cat_1(A!0), u2_cat_1(C!2), u1_cat_1(A!0), u2_cat_1(C!2), k6_isocat_1(A!0, k11_cat_2(B!1, C!2), C!2, D!3, F, k8_nattra_1(A!0, k11_cat_2(B!1, C!2), D!3, E!4, F, H, I), G), k8_nattra_1(A!0, C!2, k2_isocat_1(A!0, k11_cat_2(B!1, C!2), C!2, D!3, G), k2_isocat_1(A!0, k11_cat_2(B!1, C!2), C!2, E!4, G), k2_isocat_1(A!0, k11_cat_2(B!1, C!2), C!2, F, G), k6_isocat_1(A!0, k11_cat_2(B!1, C!2), C!2, D!3, E!4, H, G), k6_isocat_1(A!0, k11_cat_2(B!1, C!2), C!2, E!4, F, I, G)))))))) | ((~m2_cat_1(F!5, A!0, k11_cat_2(B!1, C!2))) | ![G: $i] : ((~m2_cat_1(G, k11_cat_2(B!1, C!2), C!2)) | ![H: $i] : ((~m2_nattra_1(H, A!0, k11_cat_2(B!1, C!2), D!3, E!4)) | ![I: $i] : ((~m2_nattra_1(I, A!0, k11_cat_2(B!1, C!2), E!4, F!5)) | (~r2_nattra_1(A!0, k11_cat_2(B!1, C!2), E!4, F!5)) | (~r2_nattra_1(A!0, k11_cat_2(B!1, C!2), D!3, E!4)) | r4_nattra_1(u1_cat_1(A!0), u2_cat_1(C!2), u1_cat_1(A!0), u2_cat_1(C!2), k6_isocat_1(A!0, k11_cat_2(B!1, C!2), C!2, D!3, F!5, k8_nattra_1(A!0, k11_cat_2(B!1, C!2), D!3, E!4, F!5, H, I), G), k8_nattra_1(A!0, C!2, k2_isocat_1(A!0, k11_cat_2(B!1, C!2), C!2, D!3, G), k2_isocat_1(A!0, k11_cat_2(B!1, C!2), C!2, E!4, G), k2_isocat_1(A!0, k11_cat_2(B!1, C!2), C!2, F!5, G), k6_isocat_1(A!0, k11_cat_2(B!1, C!2), C!2, D!3, E!4, H, G), k6_isocat_1(A!0, k11_cat_2(B!1, C!2), C!2, E!4, F!5, I, G)))))))) <=> ((~![F: $i] : ((~m2_cat_1(F, A!0, k11_cat_2(B!1, C!2))) | ![G: $i] : ((~m2_cat_1(G, k11_cat_2(B!1, C!2), C!2)) | ![H: $i] : ((~m2_nattra_1(H, A!0, k11_cat_2(B!1, C!2), D!3, E!4)) | ![I: $i] : ((~m2_nattra_1(I, A!0, k11_cat_2(B!1, C!2), E!4, F)) | (~r2_nattra_1(A!0, k11_cat_2(B!1, C!2), E!4, F)) | (~r2_nattra_1(A!0, k11_cat_2(B!1, C!2), D!3, E!4)) | r4_nattra_1(u1_cat_1(A!0), u2_cat_1(C!2), u1_cat_1(A!0), u2_cat_1(C!2), k6_isocat_1(A!0, k11_cat_2(B!1, C!2), C!2, D!3, F, k8_nattra_1(A!0, k11_cat_2(B!1, C!2), D!3, E!4, F, H, I), G), k8_nattra_1(A!0, C!2, k2_isocat_1(A!0, k11_cat_2(B!1, C!2), C!2, D!3, G), k2_isocat_1(A!0, k11_cat_2(B!1, C!2), C!2, E!4, G), k2_isocat_1(A!0, k11_cat_2(B!1, C!2), C!2, F, G), k6_isocat_1(A!0, k11_cat_2(B!1, C!2), C!2, D!3, E!4, H, G), k6_isocat_1(A!0, k11_cat_2(B!1, C!2), C!2, E!4, F, I, G)))))))) | ((~m2_cat_1(F!5, A!0, k11_cat_2(B!1, C!2))) | ![G: $i] : ((~m2_cat_1(G, k11_cat_2(B!1, C!2), C!2)) | ![H: $i] : ((~m2_nattra_1(H, A!0, k11_cat_2(B!1, C!2), D!3, E!4)) | ![I: $i] : ((~m2_nattra_1(I, A!0, k11_cat_2(B!1, C!2), E!4, F!5)) | (~r2_nattra_1(A!0, k11_cat_2(B!1, C!2), D!3, E!4)) | (~r2_nattra_1(A!0, k11_cat_2(B!1, C!2), E!4, F!5)) | r4_nattra_1(u1_cat_1(A!0), u2_cat_1(C!2), u1_cat_1(A!0), u2_cat_1(C!2), k6_isocat_1(A!0, k11_cat_2(B!1, C!2), C!2, D!3, F!5, k8_nattra_1(A!0, k11_cat_2(B!1, C!2), D!3, E!4, F!5, H, I), G), k8_nattra_1(A!0, C!2, k2_isocat_1(A!0, k11_cat_2(B!1, C!2), C!2, D!3, G), k2_isocat_1(A!0, k11_cat_2(B!1, C!2), C!2, E!4, G), k2_isocat_1(A!0, k11_cat_2(B!1, C!2), C!2, F!5, G), k6_isocat_1(A!0, k11_cat_2(B!1, C!2), C!2, D!3, E!4, H, G), k6_isocat_1(A!0, k11_cat_2(B!1, C!2), C!2, E!4, F!5, I, G))))))))),
% 18.88/19.07 inference(monotonicity,[status(thm)],[487])).
% 18.88/19.07 tff(489,plain,
% 18.88/19.07 (((~![F: $i] : ((~m2_cat_1(F, A!0, k11_cat_2(B!1, C!2))) | ![G: $i] : ((~m2_cat_1(G, k11_cat_2(B!1, C!2), C!2)) | ![H: $i] : ((~m2_nattra_1(H, A!0, k11_cat_2(B!1, C!2), D!3, E!4)) | ![I: $i] : ((~m2_nattra_1(I, A!0, k11_cat_2(B!1, C!2), E!4, F)) | (~r2_nattra_1(A!0, k11_cat_2(B!1, C!2), E!4, F)) | (~r2_nattra_1(A!0, k11_cat_2(B!1, C!2), D!3, E!4)) | r4_nattra_1(u1_cat_1(A!0), u2_cat_1(C!2), u1_cat_1(A!0), u2_cat_1(C!2), k6_isocat_1(A!0, k11_cat_2(B!1, C!2), C!2, D!3, F, k8_nattra_1(A!0, k11_cat_2(B!1, C!2), D!3, E!4, F, H, I), G), k8_nattra_1(A!0, C!2, k2_isocat_1(A!0, k11_cat_2(B!1, C!2), C!2, D!3, G), k2_isocat_1(A!0, k11_cat_2(B!1, C!2), C!2, E!4, G), k2_isocat_1(A!0, k11_cat_2(B!1, C!2), C!2, F, G), k6_isocat_1(A!0, k11_cat_2(B!1, C!2), C!2, D!3, E!4, H, G), k6_isocat_1(A!0, k11_cat_2(B!1, C!2), C!2, E!4, F, I, G)))))))) | ((~m2_cat_1(F!5, A!0, k11_cat_2(B!1, C!2))) | ![G: $i] : ((~m2_cat_1(G, k11_cat_2(B!1, C!2), C!2)) | ![H: $i] : ((~m2_nattra_1(H, A!0, k11_cat_2(B!1, C!2), D!3, E!4)) | ![I: $i] : ((~m2_nattra_1(I, A!0, k11_cat_2(B!1, C!2), E!4, F!5)) | (~r2_nattra_1(A!0, k11_cat_2(B!1, C!2), E!4, F!5)) | (~r2_nattra_1(A!0, k11_cat_2(B!1, C!2), D!3, E!4)) | r4_nattra_1(u1_cat_1(A!0), u2_cat_1(C!2), u1_cat_1(A!0), u2_cat_1(C!2), k6_isocat_1(A!0, k11_cat_2(B!1, C!2), C!2, D!3, F!5, k8_nattra_1(A!0, k11_cat_2(B!1, C!2), D!3, E!4, F!5, H, I), G), k8_nattra_1(A!0, C!2, k2_isocat_1(A!0, k11_cat_2(B!1, C!2), C!2, D!3, G), k2_isocat_1(A!0, k11_cat_2(B!1, C!2), C!2, E!4, G), k2_isocat_1(A!0, k11_cat_2(B!1, C!2), C!2, F!5, G), k6_isocat_1(A!0, k11_cat_2(B!1, C!2), C!2, D!3, E!4, H, G), k6_isocat_1(A!0, k11_cat_2(B!1, C!2), C!2, E!4, F!5, I, G)))))))) <=> ((~![F: $i] : ((~m2_cat_1(F, A!0, k11_cat_2(B!1, C!2))) | ![G: $i] : ((~m2_cat_1(G, k11_cat_2(B!1, C!2), C!2)) | ![H: $i] : ((~m2_nattra_1(H, A!0, k11_cat_2(B!1, C!2), D!3, E!4)) | ![I: $i] : ((~m2_nattra_1(I, A!0, k11_cat_2(B!1, C!2), E!4, F)) | (~r2_nattra_1(A!0, k11_cat_2(B!1, C!2), E!4, F)) | (~r2_nattra_1(A!0, k11_cat_2(B!1, C!2), D!3, E!4)) | r4_nattra_1(u1_cat_1(A!0), u2_cat_1(C!2), u1_cat_1(A!0), u2_cat_1(C!2), k6_isocat_1(A!0, k11_cat_2(B!1, C!2), C!2, D!3, F, k8_nattra_1(A!0, k11_cat_2(B!1, C!2), D!3, E!4, F, H, I), G), k8_nattra_1(A!0, C!2, k2_isocat_1(A!0, k11_cat_2(B!1, C!2), C!2, D!3, G), k2_isocat_1(A!0, k11_cat_2(B!1, C!2), C!2, E!4, G), k2_isocat_1(A!0, k11_cat_2(B!1, C!2), C!2, F, G), k6_isocat_1(A!0, k11_cat_2(B!1, C!2), C!2, D!3, E!4, H, G), k6_isocat_1(A!0, k11_cat_2(B!1, C!2), C!2, E!4, F, I, G)))))))) | (~m2_cat_1(F!5, A!0, k11_cat_2(B!1, C!2))) | ![G: $i] : ((~m2_cat_1(G, k11_cat_2(B!1, C!2), C!2)) | ![H: $i] : ((~m2_nattra_1(H, A!0, k11_cat_2(B!1, C!2), D!3, E!4)) | ![I: $i] : ((~m2_nattra_1(I, A!0, k11_cat_2(B!1, C!2), E!4, F!5)) | (~r2_nattra_1(A!0, k11_cat_2(B!1, C!2), D!3, E!4)) | (~r2_nattra_1(A!0, k11_cat_2(B!1, C!2), E!4, F!5)) | r4_nattra_1(u1_cat_1(A!0), u2_cat_1(C!2), u1_cat_1(A!0), u2_cat_1(C!2), k6_isocat_1(A!0, k11_cat_2(B!1, C!2), C!2, D!3, F!5, k8_nattra_1(A!0, k11_cat_2(B!1, C!2), D!3, E!4, F!5, H, I), G), k8_nattra_1(A!0, C!2, k2_isocat_1(A!0, k11_cat_2(B!1, C!2), C!2, D!3, G), k2_isocat_1(A!0, k11_cat_2(B!1, C!2), C!2, E!4, G), k2_isocat_1(A!0, k11_cat_2(B!1, C!2), C!2, F!5, G), k6_isocat_1(A!0, k11_cat_2(B!1, C!2), C!2, D!3, E!4, H, G), k6_isocat_1(A!0, k11_cat_2(B!1, C!2), C!2, E!4, F!5, I, G)))))))),
% 18.88/19.08 inference(transitivity,[status(thm)],[488, 486])).
% 18.88/19.08 tff(490,plain,
% 18.88/19.08 ((~![F: $i] : ((~m2_cat_1(F, A!0, k11_cat_2(B!1, C!2))) | ![G: $i] : ((~m2_cat_1(G, k11_cat_2(B!1, C!2), C!2)) | ![H: $i] : ((~m2_nattra_1(H, A!0, k11_cat_2(B!1, C!2), D!3, E!4)) | ![I: $i] : ((~m2_nattra_1(I, A!0, k11_cat_2(B!1, C!2), E!4, F)) | (~r2_nattra_1(A!0, k11_cat_2(B!1, C!2), E!4, F)) | (~r2_nattra_1(A!0, k11_cat_2(B!1, C!2), D!3, E!4)) | r4_nattra_1(u1_cat_1(A!0), u2_cat_1(C!2), u1_cat_1(A!0), u2_cat_1(C!2), k6_isocat_1(A!0, k11_cat_2(B!1, C!2), C!2, D!3, F, k8_nattra_1(A!0, k11_cat_2(B!1, C!2), D!3, E!4, F, H, I), G), k8_nattra_1(A!0, C!2, k2_isocat_1(A!0, k11_cat_2(B!1, C!2), C!2, D!3, G), k2_isocat_1(A!0, k11_cat_2(B!1, C!2), C!2, E!4, G), k2_isocat_1(A!0, k11_cat_2(B!1, C!2), C!2, F, G), k6_isocat_1(A!0, k11_cat_2(B!1, C!2), C!2, D!3, E!4, H, G), k6_isocat_1(A!0, k11_cat_2(B!1, C!2), C!2, E!4, F, I, G)))))))) | ((~m2_cat_1(F!5, A!0, k11_cat_2(B!1, C!2))) | ![G: $i] : ((~m2_cat_1(G, k11_cat_2(B!1, C!2), C!2)) | ![H: $i] : ((~m2_nattra_1(H, A!0, k11_cat_2(B!1, C!2), D!3, E!4)) | ![I: $i] : ((~m2_nattra_1(I, A!0, k11_cat_2(B!1, C!2), E!4, F!5)) | (~r2_nattra_1(A!0, k11_cat_2(B!1, C!2), E!4, F!5)) | (~r2_nattra_1(A!0, k11_cat_2(B!1, C!2), D!3, E!4)) | r4_nattra_1(u1_cat_1(A!0), u2_cat_1(C!2), u1_cat_1(A!0), u2_cat_1(C!2), k6_isocat_1(A!0, k11_cat_2(B!1, C!2), C!2, D!3, F!5, k8_nattra_1(A!0, k11_cat_2(B!1, C!2), D!3, E!4, F!5, H, I), G), k8_nattra_1(A!0, C!2, k2_isocat_1(A!0, k11_cat_2(B!1, C!2), C!2, D!3, G), k2_isocat_1(A!0, k11_cat_2(B!1, C!2), C!2, E!4, G), k2_isocat_1(A!0, k11_cat_2(B!1, C!2), C!2, F!5, G), k6_isocat_1(A!0, k11_cat_2(B!1, C!2), C!2, D!3, E!4, H, G), k6_isocat_1(A!0, k11_cat_2(B!1, C!2), C!2, E!4, F!5, I, G)))))))),
% 18.88/19.08 inference(quant_inst,[status(thm)],[])).
% 18.88/19.08 tff(491,plain,
% 18.88/19.08 ((~![F: $i] : ((~m2_cat_1(F, A!0, k11_cat_2(B!1, C!2))) | ![G: $i] : ((~m2_cat_1(G, k11_cat_2(B!1, C!2), C!2)) | ![H: $i] : ((~m2_nattra_1(H, A!0, k11_cat_2(B!1, C!2), D!3, E!4)) | ![I: $i] : ((~m2_nattra_1(I, A!0, k11_cat_2(B!1, C!2), E!4, F)) | (~r2_nattra_1(A!0, k11_cat_2(B!1, C!2), E!4, F)) | (~r2_nattra_1(A!0, k11_cat_2(B!1, C!2), D!3, E!4)) | r4_nattra_1(u1_cat_1(A!0), u2_cat_1(C!2), u1_cat_1(A!0), u2_cat_1(C!2), k6_isocat_1(A!0, k11_cat_2(B!1, C!2), C!2, D!3, F, k8_nattra_1(A!0, k11_cat_2(B!1, C!2), D!3, E!4, F, H, I), G), k8_nattra_1(A!0, C!2, k2_isocat_1(A!0, k11_cat_2(B!1, C!2), C!2, D!3, G), k2_isocat_1(A!0, k11_cat_2(B!1, C!2), C!2, E!4, G), k2_isocat_1(A!0, k11_cat_2(B!1, C!2), C!2, F, G), k6_isocat_1(A!0, k11_cat_2(B!1, C!2), C!2, D!3, E!4, H, G), k6_isocat_1(A!0, k11_cat_2(B!1, C!2), C!2, E!4, F, I, G)))))))) | (~m2_cat_1(F!5, A!0, k11_cat_2(B!1, C!2))) | ![G: $i] : ((~m2_cat_1(G, k11_cat_2(B!1, C!2), C!2)) | ![H: $i] : ((~m2_nattra_1(H, A!0, k11_cat_2(B!1, C!2), D!3, E!4)) | ![I: $i] : ((~m2_nattra_1(I, A!0, k11_cat_2(B!1, C!2), E!4, F!5)) | (~r2_nattra_1(A!0, k11_cat_2(B!1, C!2), D!3, E!4)) | (~r2_nattra_1(A!0, k11_cat_2(B!1, C!2), E!4, F!5)) | r4_nattra_1(u1_cat_1(A!0), u2_cat_1(C!2), u1_cat_1(A!0), u2_cat_1(C!2), k6_isocat_1(A!0, k11_cat_2(B!1, C!2), C!2, D!3, F!5, k8_nattra_1(A!0, k11_cat_2(B!1, C!2), D!3, E!4, F!5, H, I), G), k8_nattra_1(A!0, C!2, k2_isocat_1(A!0, k11_cat_2(B!1, C!2), C!2, D!3, G), k2_isocat_1(A!0, k11_cat_2(B!1, C!2), C!2, E!4, G), k2_isocat_1(A!0, k11_cat_2(B!1, C!2), C!2, F!5, G), k6_isocat_1(A!0, k11_cat_2(B!1, C!2), C!2, D!3, E!4, H, G), k6_isocat_1(A!0, k11_cat_2(B!1, C!2), C!2, E!4, F!5, I, G))))))),
% 18.88/19.08 inference(modus_ponens,[status(thm)],[490, 489])).
% 18.88/19.08 tff(492,plain,
% 18.88/19.08 (![G: $i] : ((~m2_cat_1(G, k11_cat_2(B!1, C!2), C!2)) | ![H: $i] : ((~m2_nattra_1(H, A!0, k11_cat_2(B!1, C!2), D!3, E!4)) | ![I: $i] : ((~m2_nattra_1(I, A!0, k11_cat_2(B!1, C!2), E!4, F!5)) | (~r2_nattra_1(A!0, k11_cat_2(B!1, C!2), D!3, E!4)) | (~r2_nattra_1(A!0, k11_cat_2(B!1, C!2), E!4, F!5)) | r4_nattra_1(u1_cat_1(A!0), u2_cat_1(C!2), u1_cat_1(A!0), u2_cat_1(C!2), k6_isocat_1(A!0, k11_cat_2(B!1, C!2), C!2, D!3, F!5, k8_nattra_1(A!0, k11_cat_2(B!1, C!2), D!3, E!4, F!5, H, I), G), k8_nattra_1(A!0, C!2, k2_isocat_1(A!0, k11_cat_2(B!1, C!2), C!2, D!3, G), k2_isocat_1(A!0, k11_cat_2(B!1, C!2), C!2, E!4, G), k2_isocat_1(A!0, k11_cat_2(B!1, C!2), C!2, F!5, G), k6_isocat_1(A!0, k11_cat_2(B!1, C!2), C!2, D!3, E!4, H, G), k6_isocat_1(A!0, k11_cat_2(B!1, C!2), C!2, E!4, F!5, I, G))))))),
% 18.88/19.08 inference(unit_resolution,[status(thm)],[491, 67, 485])).
% 18.88/19.08 tff(493,plain,
% 18.88/19.08 (^[A: $i, B: $i] : refl((m2_cat_1(k17_cat_2(A, B), k11_cat_2(A, B), B) | (~l1_cat_1(B)) | (~v2_cat_1(A)) | (~l1_cat_1(A)) | (~v2_cat_1(B))) <=> (m2_cat_1(k17_cat_2(A, B), k11_cat_2(A, B), B) | (~l1_cat_1(B)) | (~v2_cat_1(A)) | (~l1_cat_1(A)) | (~v2_cat_1(B))))),
% 18.88/19.08 inference(bind,[status(th)],[])).
% 18.88/19.08 tff(494,plain,
% 18.88/19.08 (![A: $i, B: $i] : (m2_cat_1(k17_cat_2(A, B), k11_cat_2(A, B), B) | (~l1_cat_1(B)) | (~v2_cat_1(A)) | (~l1_cat_1(A)) | (~v2_cat_1(B))) <=> ![A: $i, B: $i] : (m2_cat_1(k17_cat_2(A, B), k11_cat_2(A, B), B) | (~l1_cat_1(B)) | (~v2_cat_1(A)) | (~l1_cat_1(A)) | (~v2_cat_1(B)))),
% 18.88/19.08 inference(quant_intro,[status(thm)],[493])).
% 18.88/19.08 tff(495,plain,
% 18.88/19.08 (^[A: $i, B: $i] : trans(monotonicity(trans(monotonicity(rewrite((v2_cat_1(A) & l1_cat_1(A) & v2_cat_1(B) & l1_cat_1(B)) <=> (~((~l1_cat_1(B)) | (~v2_cat_1(A)) | (~l1_cat_1(A)) | (~v2_cat_1(B))))), ((~(v2_cat_1(A) & l1_cat_1(A) & v2_cat_1(B) & l1_cat_1(B))) <=> (~(~((~l1_cat_1(B)) | (~v2_cat_1(A)) | (~l1_cat_1(A)) | (~v2_cat_1(B))))))), rewrite((~(~((~l1_cat_1(B)) | (~v2_cat_1(A)) | (~l1_cat_1(A)) | (~v2_cat_1(B))))) <=> ((~l1_cat_1(B)) | (~v2_cat_1(A)) | (~l1_cat_1(A)) | (~v2_cat_1(B)))), ((~(v2_cat_1(A) & l1_cat_1(A) & v2_cat_1(B) & l1_cat_1(B))) <=> ((~l1_cat_1(B)) | (~v2_cat_1(A)) | (~l1_cat_1(A)) | (~v2_cat_1(B))))), (((~(v2_cat_1(A) & l1_cat_1(A) & v2_cat_1(B) & l1_cat_1(B))) | m2_cat_1(k17_cat_2(A, B), k11_cat_2(A, B), B)) <=> (((~l1_cat_1(B)) | (~v2_cat_1(A)) | (~l1_cat_1(A)) | (~v2_cat_1(B))) | m2_cat_1(k17_cat_2(A, B), k11_cat_2(A, B), B)))), rewrite((((~l1_cat_1(B)) | (~v2_cat_1(A)) | (~l1_cat_1(A)) | (~v2_cat_1(B))) | m2_cat_1(k17_cat_2(A, B), k11_cat_2(A, B), B)) <=> (m2_cat_1(k17_cat_2(A, B), k11_cat_2(A, B), B) | (~l1_cat_1(B)) | (~v2_cat_1(A)) | (~l1_cat_1(A)) | (~v2_cat_1(B)))), (((~(v2_cat_1(A) & l1_cat_1(A) & v2_cat_1(B) & l1_cat_1(B))) | m2_cat_1(k17_cat_2(A, B), k11_cat_2(A, B), B)) <=> (m2_cat_1(k17_cat_2(A, B), k11_cat_2(A, B), B) | (~l1_cat_1(B)) | (~v2_cat_1(A)) | (~l1_cat_1(A)) | (~v2_cat_1(B)))))),
% 18.88/19.08 inference(bind,[status(th)],[])).
% 18.88/19.08 tff(496,plain,
% 18.88/19.08 (![A: $i, B: $i] : ((~(v2_cat_1(A) & l1_cat_1(A) & v2_cat_1(B) & l1_cat_1(B))) | m2_cat_1(k17_cat_2(A, B), k11_cat_2(A, B), B)) <=> ![A: $i, B: $i] : (m2_cat_1(k17_cat_2(A, B), k11_cat_2(A, B), B) | (~l1_cat_1(B)) | (~v2_cat_1(A)) | (~l1_cat_1(A)) | (~v2_cat_1(B)))),
% 18.88/19.08 inference(quant_intro,[status(thm)],[495])).
% 18.88/19.08 tff(497,plain,
% 18.88/19.08 (![A: $i, B: $i] : ((~(v2_cat_1(A) & l1_cat_1(A) & v2_cat_1(B) & l1_cat_1(B))) | m2_cat_1(k17_cat_2(A, B), k11_cat_2(A, B), B)) <=> ![A: $i, B: $i] : ((~(v2_cat_1(A) & l1_cat_1(A) & v2_cat_1(B) & l1_cat_1(B))) | m2_cat_1(k17_cat_2(A, B), k11_cat_2(A, B), B))),
% 18.88/19.08 inference(rewrite,[status(thm)],[])).
% 18.88/19.08 tff(498,plain,
% 18.88/19.08 (^[A: $i, B: $i] : trans(monotonicity(trans(monotonicity(rewrite(((v2_cat_1(A) & l1_cat_1(A)) & v2_cat_1(B)) <=> (v2_cat_1(A) & l1_cat_1(A) & v2_cat_1(B))), ((((v2_cat_1(A) & l1_cat_1(A)) & v2_cat_1(B)) & l1_cat_1(B)) <=> ((v2_cat_1(A) & l1_cat_1(A) & v2_cat_1(B)) & l1_cat_1(B)))), rewrite(((v2_cat_1(A) & l1_cat_1(A) & v2_cat_1(B)) & l1_cat_1(B)) <=> (v2_cat_1(A) & l1_cat_1(A) & v2_cat_1(B) & l1_cat_1(B))), ((((v2_cat_1(A) & l1_cat_1(A)) & v2_cat_1(B)) & l1_cat_1(B)) <=> (v2_cat_1(A) & l1_cat_1(A) & v2_cat_1(B) & l1_cat_1(B)))), (((((v2_cat_1(A) & l1_cat_1(A)) & v2_cat_1(B)) & l1_cat_1(B)) => m2_cat_1(k17_cat_2(A, B), k11_cat_2(A, B), B)) <=> ((v2_cat_1(A) & l1_cat_1(A) & v2_cat_1(B) & l1_cat_1(B)) => m2_cat_1(k17_cat_2(A, B), k11_cat_2(A, B), B)))), rewrite(((v2_cat_1(A) & l1_cat_1(A) & v2_cat_1(B) & l1_cat_1(B)) => m2_cat_1(k17_cat_2(A, B), k11_cat_2(A, B), B)) <=> ((~(v2_cat_1(A) & l1_cat_1(A) & v2_cat_1(B) & l1_cat_1(B))) | m2_cat_1(k17_cat_2(A, B), k11_cat_2(A, B), B))), (((((v2_cat_1(A) & l1_cat_1(A)) & v2_cat_1(B)) & l1_cat_1(B)) => m2_cat_1(k17_cat_2(A, B), k11_cat_2(A, B), B)) <=> ((~(v2_cat_1(A) & l1_cat_1(A) & v2_cat_1(B) & l1_cat_1(B))) | m2_cat_1(k17_cat_2(A, B), k11_cat_2(A, B), B))))),
% 18.88/19.08 inference(bind,[status(th)],[])).
% 18.88/19.08 tff(499,plain,
% 18.88/19.08 (![A: $i, B: $i] : ((((v2_cat_1(A) & l1_cat_1(A)) & v2_cat_1(B)) & l1_cat_1(B)) => m2_cat_1(k17_cat_2(A, B), k11_cat_2(A, B), B)) <=> ![A: $i, B: $i] : ((~(v2_cat_1(A) & l1_cat_1(A) & v2_cat_1(B) & l1_cat_1(B))) | m2_cat_1(k17_cat_2(A, B), k11_cat_2(A, B), B))),
% 18.88/19.08 inference(quant_intro,[status(thm)],[498])).
% 18.88/19.08 tff(500,axiom,(![A: $i, B: $i] : ((((v2_cat_1(A) & l1_cat_1(A)) & v2_cat_1(B)) & l1_cat_1(B)) => m2_cat_1(k17_cat_2(A, B), k11_cat_2(A, B), B))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','dt_k17_cat_2')).
% 18.88/19.08 tff(501,plain,
% 18.88/19.08 (![A: $i, B: $i] : ((~(v2_cat_1(A) & l1_cat_1(A) & v2_cat_1(B) & l1_cat_1(B))) | m2_cat_1(k17_cat_2(A, B), k11_cat_2(A, B), B))),
% 18.88/19.08 inference(modus_ponens,[status(thm)],[500, 499])).
% 18.88/19.08 tff(502,plain,
% 18.88/19.08 (![A: $i, B: $i] : ((~(v2_cat_1(A) & l1_cat_1(A) & v2_cat_1(B) & l1_cat_1(B))) | m2_cat_1(k17_cat_2(A, B), k11_cat_2(A, B), B))),
% 18.88/19.08 inference(modus_ponens,[status(thm)],[501, 497])).
% 18.88/19.08 tff(503,plain,(
% 18.88/19.08 ![A: $i, B: $i] : ((~(v2_cat_1(A) & l1_cat_1(A) & v2_cat_1(B) & l1_cat_1(B))) | m2_cat_1(k17_cat_2(A, B), k11_cat_2(A, B), B))),
% 18.88/19.08 inference(skolemize,[status(sab)],[502])).
% 18.88/19.08 tff(504,plain,
% 18.88/19.08 (![A: $i, B: $i] : (m2_cat_1(k17_cat_2(A, B), k11_cat_2(A, B), B) | (~l1_cat_1(B)) | (~v2_cat_1(A)) | (~l1_cat_1(A)) | (~v2_cat_1(B)))),
% 18.88/19.08 inference(modus_ponens,[status(thm)],[503, 496])).
% 18.88/19.08 tff(505,plain,
% 18.88/19.08 (![A: $i, B: $i] : (m2_cat_1(k17_cat_2(A, B), k11_cat_2(A, B), B) | (~l1_cat_1(B)) | (~v2_cat_1(A)) | (~l1_cat_1(A)) | (~v2_cat_1(B)))),
% 18.88/19.08 inference(modus_ponens,[status(thm)],[504, 494])).
% 18.88/19.08 tff(506,plain,
% 18.88/19.08 (((~![A: $i, B: $i] : (m2_cat_1(k17_cat_2(A, B), k11_cat_2(A, B), B) | (~l1_cat_1(B)) | (~v2_cat_1(A)) | (~l1_cat_1(A)) | (~v2_cat_1(B)))) | ((~l1_cat_1(C!2)) | (~v2_cat_1(B!1)) | (~l1_cat_1(B!1)) | (~v2_cat_1(C!2)) | m2_cat_1(k17_cat_2(B!1, C!2), k11_cat_2(B!1, C!2), C!2))) <=> ((~![A: $i, B: $i] : (m2_cat_1(k17_cat_2(A, B), k11_cat_2(A, B), B) | (~l1_cat_1(B)) | (~v2_cat_1(A)) | (~l1_cat_1(A)) | (~v2_cat_1(B)))) | (~l1_cat_1(C!2)) | (~v2_cat_1(B!1)) | (~l1_cat_1(B!1)) | (~v2_cat_1(C!2)) | m2_cat_1(k17_cat_2(B!1, C!2), k11_cat_2(B!1, C!2), C!2))),
% 18.88/19.08 inference(rewrite,[status(thm)],[])).
% 18.88/19.08 tff(507,plain,
% 18.88/19.08 ((m2_cat_1(k17_cat_2(B!1, C!2), k11_cat_2(B!1, C!2), C!2) | (~l1_cat_1(C!2)) | (~v2_cat_1(B!1)) | (~l1_cat_1(B!1)) | (~v2_cat_1(C!2))) <=> ((~l1_cat_1(C!2)) | (~v2_cat_1(B!1)) | (~l1_cat_1(B!1)) | (~v2_cat_1(C!2)) | m2_cat_1(k17_cat_2(B!1, C!2), k11_cat_2(B!1, C!2), C!2))),
% 18.88/19.08 inference(rewrite,[status(thm)],[])).
% 18.88/19.08 tff(508,plain,
% 18.88/19.08 (((~![A: $i, B: $i] : (m2_cat_1(k17_cat_2(A, B), k11_cat_2(A, B), B) | (~l1_cat_1(B)) | (~v2_cat_1(A)) | (~l1_cat_1(A)) | (~v2_cat_1(B)))) | (m2_cat_1(k17_cat_2(B!1, C!2), k11_cat_2(B!1, C!2), C!2) | (~l1_cat_1(C!2)) | (~v2_cat_1(B!1)) | (~l1_cat_1(B!1)) | (~v2_cat_1(C!2)))) <=> ((~![A: $i, B: $i] : (m2_cat_1(k17_cat_2(A, B), k11_cat_2(A, B), B) | (~l1_cat_1(B)) | (~v2_cat_1(A)) | (~l1_cat_1(A)) | (~v2_cat_1(B)))) | ((~l1_cat_1(C!2)) | (~v2_cat_1(B!1)) | (~l1_cat_1(B!1)) | (~v2_cat_1(C!2)) | m2_cat_1(k17_cat_2(B!1, C!2), k11_cat_2(B!1, C!2), C!2)))),
% 18.88/19.08 inference(monotonicity,[status(thm)],[507])).
% 18.88/19.08 tff(509,plain,
% 18.88/19.08 (((~![A: $i, B: $i] : (m2_cat_1(k17_cat_2(A, B), k11_cat_2(A, B), B) | (~l1_cat_1(B)) | (~v2_cat_1(A)) | (~l1_cat_1(A)) | (~v2_cat_1(B)))) | (m2_cat_1(k17_cat_2(B!1, C!2), k11_cat_2(B!1, C!2), C!2) | (~l1_cat_1(C!2)) | (~v2_cat_1(B!1)) | (~l1_cat_1(B!1)) | (~v2_cat_1(C!2)))) <=> ((~![A: $i, B: $i] : (m2_cat_1(k17_cat_2(A, B), k11_cat_2(A, B), B) | (~l1_cat_1(B)) | (~v2_cat_1(A)) | (~l1_cat_1(A)) | (~v2_cat_1(B)))) | (~l1_cat_1(C!2)) | (~v2_cat_1(B!1)) | (~l1_cat_1(B!1)) | (~v2_cat_1(C!2)) | m2_cat_1(k17_cat_2(B!1, C!2), k11_cat_2(B!1, C!2), C!2))),
% 18.88/19.08 inference(transitivity,[status(thm)],[508, 506])).
% 18.88/19.08 tff(510,plain,
% 18.88/19.08 ((~![A: $i, B: $i] : (m2_cat_1(k17_cat_2(A, B), k11_cat_2(A, B), B) | (~l1_cat_1(B)) | (~v2_cat_1(A)) | (~l1_cat_1(A)) | (~v2_cat_1(B)))) | (m2_cat_1(k17_cat_2(B!1, C!2), k11_cat_2(B!1, C!2), C!2) | (~l1_cat_1(C!2)) | (~v2_cat_1(B!1)) | (~l1_cat_1(B!1)) | (~v2_cat_1(C!2)))),
% 18.88/19.08 inference(quant_inst,[status(thm)],[])).
% 18.88/19.08 tff(511,plain,
% 18.88/19.08 ((~![A: $i, B: $i] : (m2_cat_1(k17_cat_2(A, B), k11_cat_2(A, B), B) | (~l1_cat_1(B)) | (~v2_cat_1(A)) | (~l1_cat_1(A)) | (~v2_cat_1(B)))) | (~l1_cat_1(C!2)) | (~v2_cat_1(B!1)) | (~l1_cat_1(B!1)) | (~v2_cat_1(C!2)) | m2_cat_1(k17_cat_2(B!1, C!2), k11_cat_2(B!1, C!2), C!2)),
% 18.88/19.08 inference(modus_ponens,[status(thm)],[510, 509])).
% 18.88/19.08 tff(512,plain,
% 18.88/19.08 (m2_cat_1(k17_cat_2(B!1, C!2), k11_cat_2(B!1, C!2), C!2)),
% 18.88/19.08 inference(unit_resolution,[status(thm)],[511, 51, 50, 57, 56, 505])).
% 18.88/19.08 tff(513,plain,
% 18.88/19.08 (((~![G: $i] : ((~m2_cat_1(G, k11_cat_2(B!1, C!2), C!2)) | ![H: $i] : ((~m2_nattra_1(H, A!0, k11_cat_2(B!1, C!2), D!3, E!4)) | ![I: $i] : ((~m2_nattra_1(I, A!0, k11_cat_2(B!1, C!2), E!4, F!5)) | (~r2_nattra_1(A!0, k11_cat_2(B!1, C!2), D!3, E!4)) | (~r2_nattra_1(A!0, k11_cat_2(B!1, C!2), E!4, F!5)) | r4_nattra_1(u1_cat_1(A!0), u2_cat_1(C!2), u1_cat_1(A!0), u2_cat_1(C!2), k6_isocat_1(A!0, k11_cat_2(B!1, C!2), C!2, D!3, F!5, k8_nattra_1(A!0, k11_cat_2(B!1, C!2), D!3, E!4, F!5, H, I), G), k8_nattra_1(A!0, C!2, k2_isocat_1(A!0, k11_cat_2(B!1, C!2), C!2, D!3, G), k2_isocat_1(A!0, k11_cat_2(B!1, C!2), C!2, E!4, G), k2_isocat_1(A!0, k11_cat_2(B!1, C!2), C!2, F!5, G), k6_isocat_1(A!0, k11_cat_2(B!1, C!2), C!2, D!3, E!4, H, G), k6_isocat_1(A!0, k11_cat_2(B!1, C!2), C!2, E!4, F!5, I, G))))))) | ((~m2_cat_1(k17_cat_2(B!1, C!2), k11_cat_2(B!1, C!2), C!2)) | ![H: $i] : ((~m2_nattra_1(H, A!0, k11_cat_2(B!1, C!2), D!3, E!4)) | ![I: $i] : ((~m2_nattra_1(I, A!0, k11_cat_2(B!1, C!2), E!4, F!5)) | (~r2_nattra_1(A!0, k11_cat_2(B!1, C!2), D!3, E!4)) | (~r2_nattra_1(A!0, k11_cat_2(B!1, C!2), E!4, F!5)) | r4_nattra_1(u1_cat_1(A!0), u2_cat_1(C!2), u1_cat_1(A!0), u2_cat_1(C!2), k6_isocat_1(A!0, k11_cat_2(B!1, C!2), C!2, D!3, F!5, k8_nattra_1(A!0, k11_cat_2(B!1, C!2), D!3, E!4, F!5, H, I), k17_cat_2(B!1, C!2)), k8_nattra_1(A!0, C!2, k2_isocat_1(A!0, k11_cat_2(B!1, C!2), C!2, D!3, k17_cat_2(B!1, C!2)), k2_isocat_1(A!0, k11_cat_2(B!1, C!2), C!2, E!4, k17_cat_2(B!1, C!2)), k2_isocat_1(A!0, k11_cat_2(B!1, C!2), C!2, F!5, k17_cat_2(B!1, C!2)), k6_isocat_1(A!0, k11_cat_2(B!1, C!2), C!2, D!3, E!4, H, k17_cat_2(B!1, C!2)), k6_isocat_1(A!0, k11_cat_2(B!1, C!2), C!2, E!4, F!5, I, k17_cat_2(B!1, C!2)))))))) <=> ((~![G: $i] : ((~m2_cat_1(G, k11_cat_2(B!1, C!2), C!2)) | ![H: $i] : ((~m2_nattra_1(H, A!0, k11_cat_2(B!1, C!2), D!3, E!4)) | ![I: $i] : ((~m2_nattra_1(I, A!0, k11_cat_2(B!1, C!2), E!4, F!5)) | (~r2_nattra_1(A!0, k11_cat_2(B!1, C!2), D!3, E!4)) | (~r2_nattra_1(A!0, k11_cat_2(B!1, C!2), E!4, F!5)) | r4_nattra_1(u1_cat_1(A!0), u2_cat_1(C!2), u1_cat_1(A!0), u2_cat_1(C!2), k6_isocat_1(A!0, k11_cat_2(B!1, C!2), C!2, D!3, F!5, k8_nattra_1(A!0, k11_cat_2(B!1, C!2), D!3, E!4, F!5, H, I), G), k8_nattra_1(A!0, C!2, k2_isocat_1(A!0, k11_cat_2(B!1, C!2), C!2, D!3, G), k2_isocat_1(A!0, k11_cat_2(B!1, C!2), C!2, E!4, G), k2_isocat_1(A!0, k11_cat_2(B!1, C!2), C!2, F!5, G), k6_isocat_1(A!0, k11_cat_2(B!1, C!2), C!2, D!3, E!4, H, G), k6_isocat_1(A!0, k11_cat_2(B!1, C!2), C!2, E!4, F!5, I, G))))))) | (~m2_cat_1(k17_cat_2(B!1, C!2), k11_cat_2(B!1, C!2), C!2)) | ![H: $i] : ((~m2_nattra_1(H, A!0, k11_cat_2(B!1, C!2), D!3, E!4)) | ![I: $i] : ((~m2_nattra_1(I, A!0, k11_cat_2(B!1, C!2), E!4, F!5)) | (~r2_nattra_1(A!0, k11_cat_2(B!1, C!2), D!3, E!4)) | (~r2_nattra_1(A!0, k11_cat_2(B!1, C!2), E!4, F!5)) | r4_nattra_1(u1_cat_1(A!0), u2_cat_1(C!2), u1_cat_1(A!0), u2_cat_1(C!2), k6_isocat_1(A!0, k11_cat_2(B!1, C!2), C!2, D!3, F!5, k8_nattra_1(A!0, k11_cat_2(B!1, C!2), D!3, E!4, F!5, H, I), k17_cat_2(B!1, C!2)), k8_nattra_1(A!0, C!2, k2_isocat_1(A!0, k11_cat_2(B!1, C!2), C!2, D!3, k17_cat_2(B!1, C!2)), k2_isocat_1(A!0, k11_cat_2(B!1, C!2), C!2, E!4, k17_cat_2(B!1, C!2)), k2_isocat_1(A!0, k11_cat_2(B!1, C!2), C!2, F!5, k17_cat_2(B!1, C!2)), k6_isocat_1(A!0, k11_cat_2(B!1, C!2), C!2, D!3, E!4, H, k17_cat_2(B!1, C!2)), k6_isocat_1(A!0, k11_cat_2(B!1, C!2), C!2, E!4, F!5, I, k17_cat_2(B!1, C!2)))))))),
% 18.88/19.08 inference(rewrite,[status(thm)],[])).
% 18.88/19.08 tff(514,plain,
% 18.88/19.08 ((~![G: $i] : ((~m2_cat_1(G, k11_cat_2(B!1, C!2), C!2)) | ![H: $i] : ((~m2_nattra_1(H, A!0, k11_cat_2(B!1, C!2), D!3, E!4)) | ![I: $i] : ((~m2_nattra_1(I, A!0, k11_cat_2(B!1, C!2), E!4, F!5)) | (~r2_nattra_1(A!0, k11_cat_2(B!1, C!2), D!3, E!4)) | (~r2_nattra_1(A!0, k11_cat_2(B!1, C!2), E!4, F!5)) | r4_nattra_1(u1_cat_1(A!0), u2_cat_1(C!2), u1_cat_1(A!0), u2_cat_1(C!2), k6_isocat_1(A!0, k11_cat_2(B!1, C!2), C!2, D!3, F!5, k8_nattra_1(A!0, k11_cat_2(B!1, C!2), D!3, E!4, F!5, H, I), G), k8_nattra_1(A!0, C!2, k2_isocat_1(A!0, k11_cat_2(B!1, C!2), C!2, D!3, G), k2_isocat_1(A!0, k11_cat_2(B!1, C!2), C!2, E!4, G), k2_isocat_1(A!0, k11_cat_2(B!1, C!2), C!2, F!5, G), k6_isocat_1(A!0, k11_cat_2(B!1, C!2), C!2, D!3, E!4, H, G), k6_isocat_1(A!0, k11_cat_2(B!1, C!2), C!2, E!4, F!5, I, G))))))) | ((~m2_cat_1(k17_cat_2(B!1, C!2), k11_cat_2(B!1, C!2), C!2)) | ![H: $i] : ((~m2_nattra_1(H, A!0, k11_cat_2(B!1, C!2), D!3, E!4)) | ![I: $i] : ((~m2_nattra_1(I, A!0, k11_cat_2(B!1, C!2), E!4, F!5)) | (~r2_nattra_1(A!0, k11_cat_2(B!1, C!2), D!3, E!4)) | (~r2_nattra_1(A!0, k11_cat_2(B!1, C!2), E!4, F!5)) | r4_nattra_1(u1_cat_1(A!0), u2_cat_1(C!2), u1_cat_1(A!0), u2_cat_1(C!2), k6_isocat_1(A!0, k11_cat_2(B!1, C!2), C!2, D!3, F!5, k8_nattra_1(A!0, k11_cat_2(B!1, C!2), D!3, E!4, F!5, H, I), k17_cat_2(B!1, C!2)), k8_nattra_1(A!0, C!2, k2_isocat_1(A!0, k11_cat_2(B!1, C!2), C!2, D!3, k17_cat_2(B!1, C!2)), k2_isocat_1(A!0, k11_cat_2(B!1, C!2), C!2, E!4, k17_cat_2(B!1, C!2)), k2_isocat_1(A!0, k11_cat_2(B!1, C!2), C!2, F!5, k17_cat_2(B!1, C!2)), k6_isocat_1(A!0, k11_cat_2(B!1, C!2), C!2, D!3, E!4, H, k17_cat_2(B!1, C!2)), k6_isocat_1(A!0, k11_cat_2(B!1, C!2), C!2, E!4, F!5, I, k17_cat_2(B!1, C!2)))))))),
% 18.88/19.08 inference(quant_inst,[status(thm)],[])).
% 18.88/19.08 tff(515,plain,
% 18.88/19.08 ((~![G: $i] : ((~m2_cat_1(G, k11_cat_2(B!1, C!2), C!2)) | ![H: $i] : ((~m2_nattra_1(H, A!0, k11_cat_2(B!1, C!2), D!3, E!4)) | ![I: $i] : ((~m2_nattra_1(I, A!0, k11_cat_2(B!1, C!2), E!4, F!5)) | (~r2_nattra_1(A!0, k11_cat_2(B!1, C!2), D!3, E!4)) | (~r2_nattra_1(A!0, k11_cat_2(B!1, C!2), E!4, F!5)) | r4_nattra_1(u1_cat_1(A!0), u2_cat_1(C!2), u1_cat_1(A!0), u2_cat_1(C!2), k6_isocat_1(A!0, k11_cat_2(B!1, C!2), C!2, D!3, F!5, k8_nattra_1(A!0, k11_cat_2(B!1, C!2), D!3, E!4, F!5, H, I), G), k8_nattra_1(A!0, C!2, k2_isocat_1(A!0, k11_cat_2(B!1, C!2), C!2, D!3, G), k2_isocat_1(A!0, k11_cat_2(B!1, C!2), C!2, E!4, G), k2_isocat_1(A!0, k11_cat_2(B!1, C!2), C!2, F!5, G), k6_isocat_1(A!0, k11_cat_2(B!1, C!2), C!2, D!3, E!4, H, G), k6_isocat_1(A!0, k11_cat_2(B!1, C!2), C!2, E!4, F!5, I, G))))))) | (~m2_cat_1(k17_cat_2(B!1, C!2), k11_cat_2(B!1, C!2), C!2)) | ![H: $i] : ((~m2_nattra_1(H, A!0, k11_cat_2(B!1, C!2), D!3, E!4)) | ![I: $i] : ((~m2_nattra_1(I, A!0, k11_cat_2(B!1, C!2), E!4, F!5)) | (~r2_nattra_1(A!0, k11_cat_2(B!1, C!2), D!3, E!4)) | (~r2_nattra_1(A!0, k11_cat_2(B!1, C!2), E!4, F!5)) | r4_nattra_1(u1_cat_1(A!0), u2_cat_1(C!2), u1_cat_1(A!0), u2_cat_1(C!2), k6_isocat_1(A!0, k11_cat_2(B!1, C!2), C!2, D!3, F!5, k8_nattra_1(A!0, k11_cat_2(B!1, C!2), D!3, E!4, F!5, H, I), k17_cat_2(B!1, C!2)), k8_nattra_1(A!0, C!2, k2_isocat_1(A!0, k11_cat_2(B!1, C!2), C!2, D!3, k17_cat_2(B!1, C!2)), k2_isocat_1(A!0, k11_cat_2(B!1, C!2), C!2, E!4, k17_cat_2(B!1, C!2)), k2_isocat_1(A!0, k11_cat_2(B!1, C!2), C!2, F!5, k17_cat_2(B!1, C!2)), k6_isocat_1(A!0, k11_cat_2(B!1, C!2), C!2, D!3, E!4, H, k17_cat_2(B!1, C!2)), k6_isocat_1(A!0, k11_cat_2(B!1, C!2), C!2, E!4, F!5, I, k17_cat_2(B!1, C!2))))))),
% 18.88/19.09 inference(modus_ponens,[status(thm)],[514, 513])).
% 18.88/19.09 tff(516,plain,
% 18.88/19.09 (![H: $i] : ((~m2_nattra_1(H, A!0, k11_cat_2(B!1, C!2), D!3, E!4)) | ![I: $i] : ((~m2_nattra_1(I, A!0, k11_cat_2(B!1, C!2), E!4, F!5)) | (~r2_nattra_1(A!0, k11_cat_2(B!1, C!2), D!3, E!4)) | (~r2_nattra_1(A!0, k11_cat_2(B!1, C!2), E!4, F!5)) | r4_nattra_1(u1_cat_1(A!0), u2_cat_1(C!2), u1_cat_1(A!0), u2_cat_1(C!2), k6_isocat_1(A!0, k11_cat_2(B!1, C!2), C!2, D!3, F!5, k8_nattra_1(A!0, k11_cat_2(B!1, C!2), D!3, E!4, F!5, H, I), k17_cat_2(B!1, C!2)), k8_nattra_1(A!0, C!2, k2_isocat_1(A!0, k11_cat_2(B!1, C!2), C!2, D!3, k17_cat_2(B!1, C!2)), k2_isocat_1(A!0, k11_cat_2(B!1, C!2), C!2, E!4, k17_cat_2(B!1, C!2)), k2_isocat_1(A!0, k11_cat_2(B!1, C!2), C!2, F!5, k17_cat_2(B!1, C!2)), k6_isocat_1(A!0, k11_cat_2(B!1, C!2), C!2, D!3, E!4, H, k17_cat_2(B!1, C!2)), k6_isocat_1(A!0, k11_cat_2(B!1, C!2), C!2, E!4, F!5, I, k17_cat_2(B!1, C!2))))))),
% 18.88/19.09 inference(unit_resolution,[status(thm)],[515, 512, 492])).
% 18.88/19.09 tff(517,plain,
% 18.88/19.09 (((~![H: $i] : ((~m2_nattra_1(H, A!0, k11_cat_2(B!1, C!2), D!3, E!4)) | ![I: $i] : ((~m2_nattra_1(I, A!0, k11_cat_2(B!1, C!2), E!4, F!5)) | (~r2_nattra_1(A!0, k11_cat_2(B!1, C!2), D!3, E!4)) | (~r2_nattra_1(A!0, k11_cat_2(B!1, C!2), E!4, F!5)) | r4_nattra_1(u1_cat_1(A!0), u2_cat_1(C!2), u1_cat_1(A!0), u2_cat_1(C!2), k6_isocat_1(A!0, k11_cat_2(B!1, C!2), C!2, D!3, F!5, k8_nattra_1(A!0, k11_cat_2(B!1, C!2), D!3, E!4, F!5, H, I), k17_cat_2(B!1, C!2)), k8_nattra_1(A!0, C!2, k2_isocat_1(A!0, k11_cat_2(B!1, C!2), C!2, D!3, k17_cat_2(B!1, C!2)), k2_isocat_1(A!0, k11_cat_2(B!1, C!2), C!2, E!4, k17_cat_2(B!1, C!2)), k2_isocat_1(A!0, k11_cat_2(B!1, C!2), C!2, F!5, k17_cat_2(B!1, C!2)), k6_isocat_1(A!0, k11_cat_2(B!1, C!2), C!2, D!3, E!4, H, k17_cat_2(B!1, C!2)), k6_isocat_1(A!0, k11_cat_2(B!1, C!2), C!2, E!4, F!5, I, k17_cat_2(B!1, C!2))))))) | ((~m2_nattra_1(G!6, A!0, k11_cat_2(B!1, C!2), D!3, E!4)) | ![I: $i] : ((~m2_nattra_1(I, A!0, k11_cat_2(B!1, C!2), E!4, F!5)) | (~r2_nattra_1(A!0, k11_cat_2(B!1, C!2), D!3, E!4)) | (~r2_nattra_1(A!0, k11_cat_2(B!1, C!2), E!4, F!5)) | r4_nattra_1(u1_cat_1(A!0), u2_cat_1(C!2), u1_cat_1(A!0), u2_cat_1(C!2), k6_isocat_1(A!0, k11_cat_2(B!1, C!2), C!2, D!3, F!5, k8_nattra_1(A!0, k11_cat_2(B!1, C!2), D!3, E!4, F!5, G!6, I), k17_cat_2(B!1, C!2)), k8_nattra_1(A!0, C!2, k2_isocat_1(A!0, k11_cat_2(B!1, C!2), C!2, D!3, k17_cat_2(B!1, C!2)), k2_isocat_1(A!0, k11_cat_2(B!1, C!2), C!2, E!4, k17_cat_2(B!1, C!2)), k2_isocat_1(A!0, k11_cat_2(B!1, C!2), C!2, F!5, k17_cat_2(B!1, C!2)), k6_isocat_1(A!0, k11_cat_2(B!1, C!2), C!2, D!3, E!4, G!6, k17_cat_2(B!1, C!2)), k6_isocat_1(A!0, k11_cat_2(B!1, C!2), C!2, E!4, F!5, I, k17_cat_2(B!1, C!2))))))) <=> ((~![H: $i] : ((~m2_nattra_1(H, A!0, k11_cat_2(B!1, C!2), D!3, E!4)) | ![I: $i] : ((~m2_nattra_1(I, A!0, k11_cat_2(B!1, C!2), E!4, F!5)) | (~r2_nattra_1(A!0, k11_cat_2(B!1, C!2), D!3, E!4)) | (~r2_nattra_1(A!0, k11_cat_2(B!1, C!2), E!4, F!5)) | r4_nattra_1(u1_cat_1(A!0), u2_cat_1(C!2), u1_cat_1(A!0), u2_cat_1(C!2), k6_isocat_1(A!0, k11_cat_2(B!1, C!2), C!2, D!3, F!5, k8_nattra_1(A!0, k11_cat_2(B!1, C!2), D!3, E!4, F!5, H, I), k17_cat_2(B!1, C!2)), k8_nattra_1(A!0, C!2, k2_isocat_1(A!0, k11_cat_2(B!1, C!2), C!2, D!3, k17_cat_2(B!1, C!2)), k2_isocat_1(A!0, k11_cat_2(B!1, C!2), C!2, E!4, k17_cat_2(B!1, C!2)), k2_isocat_1(A!0, k11_cat_2(B!1, C!2), C!2, F!5, k17_cat_2(B!1, C!2)), k6_isocat_1(A!0, k11_cat_2(B!1, C!2), C!2, D!3, E!4, H, k17_cat_2(B!1, C!2)), k6_isocat_1(A!0, k11_cat_2(B!1, C!2), C!2, E!4, F!5, I, k17_cat_2(B!1, C!2))))))) | (~m2_nattra_1(G!6, A!0, k11_cat_2(B!1, C!2), D!3, E!4)) | ![I: $i] : ((~m2_nattra_1(I, A!0, k11_cat_2(B!1, C!2), E!4, F!5)) | (~r2_nattra_1(A!0, k11_cat_2(B!1, C!2), D!3, E!4)) | (~r2_nattra_1(A!0, k11_cat_2(B!1, C!2), E!4, F!5)) | r4_nattra_1(u1_cat_1(A!0), u2_cat_1(C!2), u1_cat_1(A!0), u2_cat_1(C!2), k6_isocat_1(A!0, k11_cat_2(B!1, C!2), C!2, D!3, F!5, k8_nattra_1(A!0, k11_cat_2(B!1, C!2), D!3, E!4, F!5, G!6, I), k17_cat_2(B!1, C!2)), k8_nattra_1(A!0, C!2, k2_isocat_1(A!0, k11_cat_2(B!1, C!2), C!2, D!3, k17_cat_2(B!1, C!2)), k2_isocat_1(A!0, k11_cat_2(B!1, C!2), C!2, E!4, k17_cat_2(B!1, C!2)), k2_isocat_1(A!0, k11_cat_2(B!1, C!2), C!2, F!5, k17_cat_2(B!1, C!2)), k6_isocat_1(A!0, k11_cat_2(B!1, C!2), C!2, D!3, E!4, G!6, k17_cat_2(B!1, C!2)), k6_isocat_1(A!0, k11_cat_2(B!1, C!2), C!2, E!4, F!5, I, k17_cat_2(B!1, C!2))))))),
% 18.88/19.09 inference(rewrite,[status(thm)],[])).
% 18.88/19.09 tff(518,plain,
% 18.88/19.09 ((~![H: $i] : ((~m2_nattra_1(H, A!0, k11_cat_2(B!1, C!2), D!3, E!4)) | ![I: $i] : ((~m2_nattra_1(I, A!0, k11_cat_2(B!1, C!2), E!4, F!5)) | (~r2_nattra_1(A!0, k11_cat_2(B!1, C!2), D!3, E!4)) | (~r2_nattra_1(A!0, k11_cat_2(B!1, C!2), E!4, F!5)) | r4_nattra_1(u1_cat_1(A!0), u2_cat_1(C!2), u1_cat_1(A!0), u2_cat_1(C!2), k6_isocat_1(A!0, k11_cat_2(B!1, C!2), C!2, D!3, F!5, k8_nattra_1(A!0, k11_cat_2(B!1, C!2), D!3, E!4, F!5, H, I), k17_cat_2(B!1, C!2)), k8_nattra_1(A!0, C!2, k2_isocat_1(A!0, k11_cat_2(B!1, C!2), C!2, D!3, k17_cat_2(B!1, C!2)), k2_isocat_1(A!0, k11_cat_2(B!1, C!2), C!2, E!4, k17_cat_2(B!1, C!2)), k2_isocat_1(A!0, k11_cat_2(B!1, C!2), C!2, F!5, k17_cat_2(B!1, C!2)), k6_isocat_1(A!0, k11_cat_2(B!1, C!2), C!2, D!3, E!4, H, k17_cat_2(B!1, C!2)), k6_isocat_1(A!0, k11_cat_2(B!1, C!2), C!2, E!4, F!5, I, k17_cat_2(B!1, C!2))))))) | ((~m2_nattra_1(G!6, A!0, k11_cat_2(B!1, C!2), D!3, E!4)) | ![I: $i] : ((~m2_nattra_1(I, A!0, k11_cat_2(B!1, C!2), E!4, F!5)) | (~r2_nattra_1(A!0, k11_cat_2(B!1, C!2), D!3, E!4)) | (~r2_nattra_1(A!0, k11_cat_2(B!1, C!2), E!4, F!5)) | r4_nattra_1(u1_cat_1(A!0), u2_cat_1(C!2), u1_cat_1(A!0), u2_cat_1(C!2), k6_isocat_1(A!0, k11_cat_2(B!1, C!2), C!2, D!3, F!5, k8_nattra_1(A!0, k11_cat_2(B!1, C!2), D!3, E!4, F!5, G!6, I), k17_cat_2(B!1, C!2)), k8_nattra_1(A!0, C!2, k2_isocat_1(A!0, k11_cat_2(B!1, C!2), C!2, D!3, k17_cat_2(B!1, C!2)), k2_isocat_1(A!0, k11_cat_2(B!1, C!2), C!2, E!4, k17_cat_2(B!1, C!2)), k2_isocat_1(A!0, k11_cat_2(B!1, C!2), C!2, F!5, k17_cat_2(B!1, C!2)), k6_isocat_1(A!0, k11_cat_2(B!1, C!2), C!2, D!3, E!4, G!6, k17_cat_2(B!1, C!2)), k6_isocat_1(A!0, k11_cat_2(B!1, C!2), C!2, E!4, F!5, I, k17_cat_2(B!1, C!2))))))),
% 18.88/19.09 inference(quant_inst,[status(thm)],[])).
% 18.88/19.09 tff(519,plain,
% 18.88/19.09 ((~![H: $i] : ((~m2_nattra_1(H, A!0, k11_cat_2(B!1, C!2), D!3, E!4)) | ![I: $i] : ((~m2_nattra_1(I, A!0, k11_cat_2(B!1, C!2), E!4, F!5)) | (~r2_nattra_1(A!0, k11_cat_2(B!1, C!2), D!3, E!4)) | (~r2_nattra_1(A!0, k11_cat_2(B!1, C!2), E!4, F!5)) | r4_nattra_1(u1_cat_1(A!0), u2_cat_1(C!2), u1_cat_1(A!0), u2_cat_1(C!2), k6_isocat_1(A!0, k11_cat_2(B!1, C!2), C!2, D!3, F!5, k8_nattra_1(A!0, k11_cat_2(B!1, C!2), D!3, E!4, F!5, H, I), k17_cat_2(B!1, C!2)), k8_nattra_1(A!0, C!2, k2_isocat_1(A!0, k11_cat_2(B!1, C!2), C!2, D!3, k17_cat_2(B!1, C!2)), k2_isocat_1(A!0, k11_cat_2(B!1, C!2), C!2, E!4, k17_cat_2(B!1, C!2)), k2_isocat_1(A!0, k11_cat_2(B!1, C!2), C!2, F!5, k17_cat_2(B!1, C!2)), k6_isocat_1(A!0, k11_cat_2(B!1, C!2), C!2, D!3, E!4, H, k17_cat_2(B!1, C!2)), k6_isocat_1(A!0, k11_cat_2(B!1, C!2), C!2, E!4, F!5, I, k17_cat_2(B!1, C!2))))))) | (~m2_nattra_1(G!6, A!0, k11_cat_2(B!1, C!2), D!3, E!4)) | ![I: $i] : ((~m2_nattra_1(I, A!0, k11_cat_2(B!1, C!2), E!4, F!5)) | (~r2_nattra_1(A!0, k11_cat_2(B!1, C!2), D!3, E!4)) | (~r2_nattra_1(A!0, k11_cat_2(B!1, C!2), E!4, F!5)) | r4_nattra_1(u1_cat_1(A!0), u2_cat_1(C!2), u1_cat_1(A!0), u2_cat_1(C!2), k6_isocat_1(A!0, k11_cat_2(B!1, C!2), C!2, D!3, F!5, k8_nattra_1(A!0, k11_cat_2(B!1, C!2), D!3, E!4, F!5, G!6, I), k17_cat_2(B!1, C!2)), k8_nattra_1(A!0, C!2, k2_isocat_1(A!0, k11_cat_2(B!1, C!2), C!2, D!3, k17_cat_2(B!1, C!2)), k2_isocat_1(A!0, k11_cat_2(B!1, C!2), C!2, E!4, k17_cat_2(B!1, C!2)), k2_isocat_1(A!0, k11_cat_2(B!1, C!2), C!2, F!5, k17_cat_2(B!1, C!2)), k6_isocat_1(A!0, k11_cat_2(B!1, C!2), C!2, D!3, E!4, G!6, k17_cat_2(B!1, C!2)), k6_isocat_1(A!0, k11_cat_2(B!1, C!2), C!2, E!4, F!5, I, k17_cat_2(B!1, C!2)))))),
% 18.88/19.09 inference(modus_ponens,[status(thm)],[518, 517])).
% 18.88/19.09 tff(520,plain,
% 18.88/19.09 (![I: $i] : ((~m2_nattra_1(I, A!0, k11_cat_2(B!1, C!2), E!4, F!5)) | (~r2_nattra_1(A!0, k11_cat_2(B!1, C!2), D!3, E!4)) | (~r2_nattra_1(A!0, k11_cat_2(B!1, C!2), E!4, F!5)) | r4_nattra_1(u1_cat_1(A!0), u2_cat_1(C!2), u1_cat_1(A!0), u2_cat_1(C!2), k6_isocat_1(A!0, k11_cat_2(B!1, C!2), C!2, D!3, F!5, k8_nattra_1(A!0, k11_cat_2(B!1, C!2), D!3, E!4, F!5, G!6, I), k17_cat_2(B!1, C!2)), k8_nattra_1(A!0, C!2, k2_isocat_1(A!0, k11_cat_2(B!1, C!2), C!2, D!3, k17_cat_2(B!1, C!2)), k2_isocat_1(A!0, k11_cat_2(B!1, C!2), C!2, E!4, k17_cat_2(B!1, C!2)), k2_isocat_1(A!0, k11_cat_2(B!1, C!2), C!2, F!5, k17_cat_2(B!1, C!2)), k6_isocat_1(A!0, k11_cat_2(B!1, C!2), C!2, D!3, E!4, G!6, k17_cat_2(B!1, C!2)), k6_isocat_1(A!0, k11_cat_2(B!1, C!2), C!2, E!4, F!5, I, k17_cat_2(B!1, C!2)))))),
% 18.88/19.09 inference(unit_resolution,[status(thm)],[519, 111, 516])).
% 18.88/19.09 tff(521,plain,
% 18.88/19.09 (((~![I: $i] : ((~m2_nattra_1(I, A!0, k11_cat_2(B!1, C!2), E!4, F!5)) | (~r2_nattra_1(A!0, k11_cat_2(B!1, C!2), D!3, E!4)) | (~r2_nattra_1(A!0, k11_cat_2(B!1, C!2), E!4, F!5)) | r4_nattra_1(u1_cat_1(A!0), u2_cat_1(C!2), u1_cat_1(A!0), u2_cat_1(C!2), k6_isocat_1(A!0, k11_cat_2(B!1, C!2), C!2, D!3, F!5, k8_nattra_1(A!0, k11_cat_2(B!1, C!2), D!3, E!4, F!5, G!6, I), k17_cat_2(B!1, C!2)), k8_nattra_1(A!0, C!2, k2_isocat_1(A!0, k11_cat_2(B!1, C!2), C!2, D!3, k17_cat_2(B!1, C!2)), k2_isocat_1(A!0, k11_cat_2(B!1, C!2), C!2, E!4, k17_cat_2(B!1, C!2)), k2_isocat_1(A!0, k11_cat_2(B!1, C!2), C!2, F!5, k17_cat_2(B!1, C!2)), k6_isocat_1(A!0, k11_cat_2(B!1, C!2), C!2, D!3, E!4, G!6, k17_cat_2(B!1, C!2)), k6_isocat_1(A!0, k11_cat_2(B!1, C!2), C!2, E!4, F!5, I, k17_cat_2(B!1, C!2)))))) | ((~m2_nattra_1(H!7, A!0, k11_cat_2(B!1, C!2), E!4, F!5)) | (~r2_nattra_1(A!0, k11_cat_2(B!1, C!2), D!3, E!4)) | (~r2_nattra_1(A!0, k11_cat_2(B!1, C!2), E!4, F!5)) | r4_nattra_1(u1_cat_1(A!0), u2_cat_1(C!2), u1_cat_1(A!0), u2_cat_1(C!2), k6_isocat_1(A!0, k11_cat_2(B!1, C!2), C!2, D!3, F!5, k8_nattra_1(A!0, k11_cat_2(B!1, C!2), D!3, E!4, F!5, G!6, H!7), k17_cat_2(B!1, C!2)), k8_nattra_1(A!0, C!2, k2_isocat_1(A!0, k11_cat_2(B!1, C!2), C!2, D!3, k17_cat_2(B!1, C!2)), k2_isocat_1(A!0, k11_cat_2(B!1, C!2), C!2, E!4, k17_cat_2(B!1, C!2)), k2_isocat_1(A!0, k11_cat_2(B!1, C!2), C!2, F!5, k17_cat_2(B!1, C!2)), k6_isocat_1(A!0, k11_cat_2(B!1, C!2), C!2, D!3, E!4, G!6, k17_cat_2(B!1, C!2)), k6_isocat_1(A!0, k11_cat_2(B!1, C!2), C!2, E!4, F!5, H!7, k17_cat_2(B!1, C!2)))))) <=> ((~![I: $i] : ((~m2_nattra_1(I, A!0, k11_cat_2(B!1, C!2), E!4, F!5)) | (~r2_nattra_1(A!0, k11_cat_2(B!1, C!2), D!3, E!4)) | (~r2_nattra_1(A!0, k11_cat_2(B!1, C!2), E!4, F!5)) | r4_nattra_1(u1_cat_1(A!0), u2_cat_1(C!2), u1_cat_1(A!0), u2_cat_1(C!2), k6_isocat_1(A!0, k11_cat_2(B!1, C!2), C!2, D!3, F!5, k8_nattra_1(A!0, k11_cat_2(B!1, C!2), D!3, E!4, F!5, G!6, I), k17_cat_2(B!1, C!2)), k8_nattra_1(A!0, C!2, k2_isocat_1(A!0, k11_cat_2(B!1, C!2), C!2, D!3, k17_cat_2(B!1, C!2)), k2_isocat_1(A!0, k11_cat_2(B!1, C!2), C!2, E!4, k17_cat_2(B!1, C!2)), k2_isocat_1(A!0, k11_cat_2(B!1, C!2), C!2, F!5, k17_cat_2(B!1, C!2)), k6_isocat_1(A!0, k11_cat_2(B!1, C!2), C!2, D!3, E!4, G!6, k17_cat_2(B!1, C!2)), k6_isocat_1(A!0, k11_cat_2(B!1, C!2), C!2, E!4, F!5, I, k17_cat_2(B!1, C!2)))))) | (~m2_nattra_1(H!7, A!0, k11_cat_2(B!1, C!2), E!4, F!5)) | (~r2_nattra_1(A!0, k11_cat_2(B!1, C!2), D!3, E!4)) | (~r2_nattra_1(A!0, k11_cat_2(B!1, C!2), E!4, F!5)) | r4_nattra_1(u1_cat_1(A!0), u2_cat_1(C!2), u1_cat_1(A!0), u2_cat_1(C!2), k6_isocat_1(A!0, k11_cat_2(B!1, C!2), C!2, D!3, F!5, k8_nattra_1(A!0, k11_cat_2(B!1, C!2), D!3, E!4, F!5, G!6, H!7), k17_cat_2(B!1, C!2)), k8_nattra_1(A!0, C!2, k2_isocat_1(A!0, k11_cat_2(B!1, C!2), C!2, D!3, k17_cat_2(B!1, C!2)), k2_isocat_1(A!0, k11_cat_2(B!1, C!2), C!2, E!4, k17_cat_2(B!1, C!2)), k2_isocat_1(A!0, k11_cat_2(B!1, C!2), C!2, F!5, k17_cat_2(B!1, C!2)), k6_isocat_1(A!0, k11_cat_2(B!1, C!2), C!2, D!3, E!4, G!6, k17_cat_2(B!1, C!2)), k6_isocat_1(A!0, k11_cat_2(B!1, C!2), C!2, E!4, F!5, H!7, k17_cat_2(B!1, C!2)))))),
% 18.88/19.09 inference(rewrite,[status(thm)],[])).
% 18.88/19.09 tff(522,plain,
% 18.88/19.09 ((~![I: $i] : ((~m2_nattra_1(I, A!0, k11_cat_2(B!1, C!2), E!4, F!5)) | (~r2_nattra_1(A!0, k11_cat_2(B!1, C!2), D!3, E!4)) | (~r2_nattra_1(A!0, k11_cat_2(B!1, C!2), E!4, F!5)) | r4_nattra_1(u1_cat_1(A!0), u2_cat_1(C!2), u1_cat_1(A!0), u2_cat_1(C!2), k6_isocat_1(A!0, k11_cat_2(B!1, C!2), C!2, D!3, F!5, k8_nattra_1(A!0, k11_cat_2(B!1, C!2), D!3, E!4, F!5, G!6, I), k17_cat_2(B!1, C!2)), k8_nattra_1(A!0, C!2, k2_isocat_1(A!0, k11_cat_2(B!1, C!2), C!2, D!3, k17_cat_2(B!1, C!2)), k2_isocat_1(A!0, k11_cat_2(B!1, C!2), C!2, E!4, k17_cat_2(B!1, C!2)), k2_isocat_1(A!0, k11_cat_2(B!1, C!2), C!2, F!5, k17_cat_2(B!1, C!2)), k6_isocat_1(A!0, k11_cat_2(B!1, C!2), C!2, D!3, E!4, G!6, k17_cat_2(B!1, C!2)), k6_isocat_1(A!0, k11_cat_2(B!1, C!2), C!2, E!4, F!5, I, k17_cat_2(B!1, C!2)))))) | ((~m2_nattra_1(H!7, A!0, k11_cat_2(B!1, C!2), E!4, F!5)) | (~r2_nattra_1(A!0, k11_cat_2(B!1, C!2), D!3, E!4)) | (~r2_nattra_1(A!0, k11_cat_2(B!1, C!2), E!4, F!5)) | r4_nattra_1(u1_cat_1(A!0), u2_cat_1(C!2), u1_cat_1(A!0), u2_cat_1(C!2), k6_isocat_1(A!0, k11_cat_2(B!1, C!2), C!2, D!3, F!5, k8_nattra_1(A!0, k11_cat_2(B!1, C!2), D!3, E!4, F!5, G!6, H!7), k17_cat_2(B!1, C!2)), k8_nattra_1(A!0, C!2, k2_isocat_1(A!0, k11_cat_2(B!1, C!2), C!2, D!3, k17_cat_2(B!1, C!2)), k2_isocat_1(A!0, k11_cat_2(B!1, C!2), C!2, E!4, k17_cat_2(B!1, C!2)), k2_isocat_1(A!0, k11_cat_2(B!1, C!2), C!2, F!5, k17_cat_2(B!1, C!2)), k6_isocat_1(A!0, k11_cat_2(B!1, C!2), C!2, D!3, E!4, G!6, k17_cat_2(B!1, C!2)), k6_isocat_1(A!0, k11_cat_2(B!1, C!2), C!2, E!4, F!5, H!7, k17_cat_2(B!1, C!2)))))),
% 18.88/19.09 inference(quant_inst,[status(thm)],[])).
% 18.88/19.09 tff(523,plain,
% 18.88/19.09 ((~![I: $i] : ((~m2_nattra_1(I, A!0, k11_cat_2(B!1, C!2), E!4, F!5)) | (~r2_nattra_1(A!0, k11_cat_2(B!1, C!2), D!3, E!4)) | (~r2_nattra_1(A!0, k11_cat_2(B!1, C!2), E!4, F!5)) | r4_nattra_1(u1_cat_1(A!0), u2_cat_1(C!2), u1_cat_1(A!0), u2_cat_1(C!2), k6_isocat_1(A!0, k11_cat_2(B!1, C!2), C!2, D!3, F!5, k8_nattra_1(A!0, k11_cat_2(B!1, C!2), D!3, E!4, F!5, G!6, I), k17_cat_2(B!1, C!2)), k8_nattra_1(A!0, C!2, k2_isocat_1(A!0, k11_cat_2(B!1, C!2), C!2, D!3, k17_cat_2(B!1, C!2)), k2_isocat_1(A!0, k11_cat_2(B!1, C!2), C!2, E!4, k17_cat_2(B!1, C!2)), k2_isocat_1(A!0, k11_cat_2(B!1, C!2), C!2, F!5, k17_cat_2(B!1, C!2)), k6_isocat_1(A!0, k11_cat_2(B!1, C!2), C!2, D!3, E!4, G!6, k17_cat_2(B!1, C!2)), k6_isocat_1(A!0, k11_cat_2(B!1, C!2), C!2, E!4, F!5, I, k17_cat_2(B!1, C!2)))))) | (~m2_nattra_1(H!7, A!0, k11_cat_2(B!1, C!2), E!4, F!5)) | (~r2_nattra_1(A!0, k11_cat_2(B!1, C!2), D!3, E!4)) | (~r2_nattra_1(A!0, k11_cat_2(B!1, C!2), E!4, F!5)) | r4_nattra_1(u1_cat_1(A!0), u2_cat_1(C!2), u1_cat_1(A!0), u2_cat_1(C!2), k6_isocat_1(A!0, k11_cat_2(B!1, C!2), C!2, D!3, F!5, k8_nattra_1(A!0, k11_cat_2(B!1, C!2), D!3, E!4, F!5, G!6, H!7), k17_cat_2(B!1, C!2)), k8_nattra_1(A!0, C!2, k2_isocat_1(A!0, k11_cat_2(B!1, C!2), C!2, D!3, k17_cat_2(B!1, C!2)), k2_isocat_1(A!0, k11_cat_2(B!1, C!2), C!2, E!4, k17_cat_2(B!1, C!2)), k2_isocat_1(A!0, k11_cat_2(B!1, C!2), C!2, F!5, k17_cat_2(B!1, C!2)), k6_isocat_1(A!0, k11_cat_2(B!1, C!2), C!2, D!3, E!4, G!6, k17_cat_2(B!1, C!2)), k6_isocat_1(A!0, k11_cat_2(B!1, C!2), C!2, E!4, F!5, H!7, k17_cat_2(B!1, C!2))))),
% 18.88/19.09 inference(modus_ponens,[status(thm)],[522, 521])).
% 18.88/19.09 tff(524,plain,
% 18.88/19.09 (r4_nattra_1(u1_cat_1(A!0), u2_cat_1(C!2), u1_cat_1(A!0), u2_cat_1(C!2), k6_isocat_1(A!0, k11_cat_2(B!1, C!2), C!2, D!3, F!5, k8_nattra_1(A!0, k11_cat_2(B!1, C!2), D!3, E!4, F!5, G!6, H!7), k17_cat_2(B!1, C!2)), k8_nattra_1(A!0, C!2, k2_isocat_1(A!0, k11_cat_2(B!1, C!2), C!2, D!3, k17_cat_2(B!1, C!2)), k2_isocat_1(A!0, k11_cat_2(B!1, C!2), C!2, E!4, k17_cat_2(B!1, C!2)), k2_isocat_1(A!0, k11_cat_2(B!1, C!2), C!2, F!5, k17_cat_2(B!1, C!2)), k6_isocat_1(A!0, k11_cat_2(B!1, C!2), C!2, D!3, E!4, G!6, k17_cat_2(B!1, C!2)), k6_isocat_1(A!0, k11_cat_2(B!1, C!2), C!2, E!4, F!5, H!7, k17_cat_2(B!1, C!2))))),
% 18.88/19.10 inference(unit_resolution,[status(thm)],[523, 73, 305, 304, 520])).
% 18.88/19.10 tff(525,plain,
% 18.88/19.10 (r4_nattra_1(u1_cat_1(A!0), u2_cat_1(C!2), u1_cat_1(A!0), u2_cat_1(C!2), k14_isocat_2(A!0, B!1, C!2, D!3, F!5, k8_nattra_1(A!0, k11_cat_2(B!1, C!2), D!3, E!4, F!5, G!6, H!7)), k8_nattra_1(A!0, C!2, k12_isocat_2(A!0, B!1, C!2, D!3), k12_isocat_2(A!0, B!1, C!2, E!4), k12_isocat_2(A!0, B!1, C!2, F!5), k14_isocat_2(A!0, B!1, C!2, D!3, E!4, G!6), k14_isocat_2(A!0, B!1, C!2, E!4, F!5, H!7)))),
% 18.88/19.10 inference(modus_ponens,[status(thm)],[524, 459])).
% 18.88/19.10 tff(526,plain,
% 18.88/19.10 ((~(~((~r4_nattra_1(u1_cat_1(A!0), u2_cat_1(B!1), u1_cat_1(A!0), u2_cat_1(B!1), k13_isocat_2(A!0, B!1, C!2, D!3, F!5, k8_nattra_1(A!0, k11_cat_2(B!1, C!2), D!3, E!4, F!5, G!6, H!7)), k8_nattra_1(A!0, B!1, k11_isocat_2(A!0, B!1, C!2, D!3), k11_isocat_2(A!0, B!1, C!2, E!4), k11_isocat_2(A!0, B!1, C!2, F!5), k13_isocat_2(A!0, B!1, C!2, D!3, E!4, G!6), k13_isocat_2(A!0, B!1, C!2, E!4, F!5, H!7)))) | (~r4_nattra_1(u1_cat_1(A!0), u2_cat_1(C!2), u1_cat_1(A!0), u2_cat_1(C!2), k14_isocat_2(A!0, B!1, C!2, D!3, F!5, k8_nattra_1(A!0, k11_cat_2(B!1, C!2), D!3, E!4, F!5, G!6, H!7)), k8_nattra_1(A!0, C!2, k12_isocat_2(A!0, B!1, C!2, D!3), k12_isocat_2(A!0, B!1, C!2, E!4), k12_isocat_2(A!0, B!1, C!2, F!5), k14_isocat_2(A!0, B!1, C!2, D!3, E!4, G!6), k14_isocat_2(A!0, B!1, C!2, E!4, F!5, H!7))))))) <=> ((~r4_nattra_1(u1_cat_1(A!0), u2_cat_1(B!1), u1_cat_1(A!0), u2_cat_1(B!1), k13_isocat_2(A!0, B!1, C!2, D!3, F!5, k8_nattra_1(A!0, k11_cat_2(B!1, C!2), D!3, E!4, F!5, G!6, H!7)), k8_nattra_1(A!0, B!1, k11_isocat_2(A!0, B!1, C!2, D!3), k11_isocat_2(A!0, B!1, C!2, E!4), k11_isocat_2(A!0, B!1, C!2, F!5), k13_isocat_2(A!0, B!1, C!2, D!3, E!4, G!6), k13_isocat_2(A!0, B!1, C!2, E!4, F!5, H!7)))) | (~r4_nattra_1(u1_cat_1(A!0), u2_cat_1(C!2), u1_cat_1(A!0), u2_cat_1(C!2), k14_isocat_2(A!0, B!1, C!2, D!3, F!5, k8_nattra_1(A!0, k11_cat_2(B!1, C!2), D!3, E!4, F!5, G!6, H!7)), k8_nattra_1(A!0, C!2, k12_isocat_2(A!0, B!1, C!2, D!3), k12_isocat_2(A!0, B!1, C!2, E!4), k12_isocat_2(A!0, B!1, C!2, F!5), k14_isocat_2(A!0, B!1, C!2, D!3, E!4, G!6), k14_isocat_2(A!0, B!1, C!2, E!4, F!5, H!7)))))),
% 18.88/19.10 inference(rewrite,[status(thm)],[])).
% 18.88/19.10 tff(527,plain,
% 18.88/19.10 ((r4_nattra_1(u1_cat_1(A!0), u2_cat_1(B!1), u1_cat_1(A!0), u2_cat_1(B!1), k13_isocat_2(A!0, B!1, C!2, D!3, F!5, k8_nattra_1(A!0, k11_cat_2(B!1, C!2), D!3, E!4, F!5, G!6, H!7)), k8_nattra_1(A!0, B!1, k11_isocat_2(A!0, B!1, C!2, D!3), k11_isocat_2(A!0, B!1, C!2, E!4), k11_isocat_2(A!0, B!1, C!2, F!5), k13_isocat_2(A!0, B!1, C!2, D!3, E!4, G!6), k13_isocat_2(A!0, B!1, C!2, E!4, F!5, H!7))) & r4_nattra_1(u1_cat_1(A!0), u2_cat_1(C!2), u1_cat_1(A!0), u2_cat_1(C!2), k14_isocat_2(A!0, B!1, C!2, D!3, F!5, k8_nattra_1(A!0, k11_cat_2(B!1, C!2), D!3, E!4, F!5, G!6, H!7)), k8_nattra_1(A!0, C!2, k12_isocat_2(A!0, B!1, C!2, D!3), k12_isocat_2(A!0, B!1, C!2, E!4), k12_isocat_2(A!0, B!1, C!2, F!5), k14_isocat_2(A!0, B!1, C!2, D!3, E!4, G!6), k14_isocat_2(A!0, B!1, C!2, E!4, F!5, H!7)))) <=> (~((~r4_nattra_1(u1_cat_1(A!0), u2_cat_1(B!1), u1_cat_1(A!0), u2_cat_1(B!1), k13_isocat_2(A!0, B!1, C!2, D!3, F!5, k8_nattra_1(A!0, k11_cat_2(B!1, C!2), D!3, E!4, F!5, G!6, H!7)), k8_nattra_1(A!0, B!1, k11_isocat_2(A!0, B!1, C!2, D!3), k11_isocat_2(A!0, B!1, C!2, E!4), k11_isocat_2(A!0, B!1, C!2, F!5), k13_isocat_2(A!0, B!1, C!2, D!3, E!4, G!6), k13_isocat_2(A!0, B!1, C!2, E!4, F!5, H!7)))) | (~r4_nattra_1(u1_cat_1(A!0), u2_cat_1(C!2), u1_cat_1(A!0), u2_cat_1(C!2), k14_isocat_2(A!0, B!1, C!2, D!3, F!5, k8_nattra_1(A!0, k11_cat_2(B!1, C!2), D!3, E!4, F!5, G!6, H!7)), k8_nattra_1(A!0, C!2, k12_isocat_2(A!0, B!1, C!2, D!3), k12_isocat_2(A!0, B!1, C!2, E!4), k12_isocat_2(A!0, B!1, C!2, F!5), k14_isocat_2(A!0, B!1, C!2, D!3, E!4, G!6), k14_isocat_2(A!0, B!1, C!2, E!4, F!5, H!7))))))),
% 18.88/19.10 inference(rewrite,[status(thm)],[])).
% 18.88/19.10 tff(528,plain,
% 18.88/19.10 ((~(r4_nattra_1(u1_cat_1(A!0), u2_cat_1(B!1), u1_cat_1(A!0), u2_cat_1(B!1), k13_isocat_2(A!0, B!1, C!2, D!3, F!5, k8_nattra_1(A!0, k11_cat_2(B!1, C!2), D!3, E!4, F!5, G!6, H!7)), k8_nattra_1(A!0, B!1, k11_isocat_2(A!0, B!1, C!2, D!3), k11_isocat_2(A!0, B!1, C!2, E!4), k11_isocat_2(A!0, B!1, C!2, F!5), k13_isocat_2(A!0, B!1, C!2, D!3, E!4, G!6), k13_isocat_2(A!0, B!1, C!2, E!4, F!5, H!7))) & r4_nattra_1(u1_cat_1(A!0), u2_cat_1(C!2), u1_cat_1(A!0), u2_cat_1(C!2), k14_isocat_2(A!0, B!1, C!2, D!3, F!5, k8_nattra_1(A!0, k11_cat_2(B!1, C!2), D!3, E!4, F!5, G!6, H!7)), k8_nattra_1(A!0, C!2, k12_isocat_2(A!0, B!1, C!2, D!3), k12_isocat_2(A!0, B!1, C!2, E!4), k12_isocat_2(A!0, B!1, C!2, F!5), k14_isocat_2(A!0, B!1, C!2, D!3, E!4, G!6), k14_isocat_2(A!0, B!1, C!2, E!4, F!5, H!7))))) <=> (~(~((~r4_nattra_1(u1_cat_1(A!0), u2_cat_1(B!1), u1_cat_1(A!0), u2_cat_1(B!1), k13_isocat_2(A!0, B!1, C!2, D!3, F!5, k8_nattra_1(A!0, k11_cat_2(B!1, C!2), D!3, E!4, F!5, G!6, H!7)), k8_nattra_1(A!0, B!1, k11_isocat_2(A!0, B!1, C!2, D!3), k11_isocat_2(A!0, B!1, C!2, E!4), k11_isocat_2(A!0, B!1, C!2, F!5), k13_isocat_2(A!0, B!1, C!2, D!3, E!4, G!6), k13_isocat_2(A!0, B!1, C!2, E!4, F!5, H!7)))) | (~r4_nattra_1(u1_cat_1(A!0), u2_cat_1(C!2), u1_cat_1(A!0), u2_cat_1(C!2), k14_isocat_2(A!0, B!1, C!2, D!3, F!5, k8_nattra_1(A!0, k11_cat_2(B!1, C!2), D!3, E!4, F!5, G!6, H!7)), k8_nattra_1(A!0, C!2, k12_isocat_2(A!0, B!1, C!2, D!3), k12_isocat_2(A!0, B!1, C!2, E!4), k12_isocat_2(A!0, B!1, C!2, F!5), k14_isocat_2(A!0, B!1, C!2, D!3, E!4, G!6), k14_isocat_2(A!0, B!1, C!2, E!4, F!5, H!7)))))))),
% 18.88/19.10 inference(monotonicity,[status(thm)],[527])).
% 18.88/19.10 tff(529,plain,
% 18.88/19.10 ((~(r4_nattra_1(u1_cat_1(A!0), u2_cat_1(B!1), u1_cat_1(A!0), u2_cat_1(B!1), k13_isocat_2(A!0, B!1, C!2, D!3, F!5, k8_nattra_1(A!0, k11_cat_2(B!1, C!2), D!3, E!4, F!5, G!6, H!7)), k8_nattra_1(A!0, B!1, k11_isocat_2(A!0, B!1, C!2, D!3), k11_isocat_2(A!0, B!1, C!2, E!4), k11_isocat_2(A!0, B!1, C!2, F!5), k13_isocat_2(A!0, B!1, C!2, D!3, E!4, G!6), k13_isocat_2(A!0, B!1, C!2, E!4, F!5, H!7))) & r4_nattra_1(u1_cat_1(A!0), u2_cat_1(C!2), u1_cat_1(A!0), u2_cat_1(C!2), k14_isocat_2(A!0, B!1, C!2, D!3, F!5, k8_nattra_1(A!0, k11_cat_2(B!1, C!2), D!3, E!4, F!5, G!6, H!7)), k8_nattra_1(A!0, C!2, k12_isocat_2(A!0, B!1, C!2, D!3), k12_isocat_2(A!0, B!1, C!2, E!4), k12_isocat_2(A!0, B!1, C!2, F!5), k14_isocat_2(A!0, B!1, C!2, D!3, E!4, G!6), k14_isocat_2(A!0, B!1, C!2, E!4, F!5, H!7))))) <=> ((~r4_nattra_1(u1_cat_1(A!0), u2_cat_1(B!1), u1_cat_1(A!0), u2_cat_1(B!1), k13_isocat_2(A!0, B!1, C!2, D!3, F!5, k8_nattra_1(A!0, k11_cat_2(B!1, C!2), D!3, E!4, F!5, G!6, H!7)), k8_nattra_1(A!0, B!1, k11_isocat_2(A!0, B!1, C!2, D!3), k11_isocat_2(A!0, B!1, C!2, E!4), k11_isocat_2(A!0, B!1, C!2, F!5), k13_isocat_2(A!0, B!1, C!2, D!3, E!4, G!6), k13_isocat_2(A!0, B!1, C!2, E!4, F!5, H!7)))) | (~r4_nattra_1(u1_cat_1(A!0), u2_cat_1(C!2), u1_cat_1(A!0), u2_cat_1(C!2), k14_isocat_2(A!0, B!1, C!2, D!3, F!5, k8_nattra_1(A!0, k11_cat_2(B!1, C!2), D!3, E!4, F!5, G!6, H!7)), k8_nattra_1(A!0, C!2, k12_isocat_2(A!0, B!1, C!2, D!3), k12_isocat_2(A!0, B!1, C!2, E!4), k12_isocat_2(A!0, B!1, C!2, F!5), k14_isocat_2(A!0, B!1, C!2, D!3, E!4, G!6), k14_isocat_2(A!0, B!1, C!2, E!4, F!5, H!7)))))),
% 18.88/19.10 inference(transitivity,[status(thm)],[528, 526])).
% 18.88/19.10 tff(530,plain,
% 18.88/19.10 (~(r4_nattra_1(u1_cat_1(A!0), u2_cat_1(B!1), u1_cat_1(A!0), u2_cat_1(B!1), k13_isocat_2(A!0, B!1, C!2, D!3, F!5, k8_nattra_1(A!0, k11_cat_2(B!1, C!2), D!3, E!4, F!5, G!6, H!7)), k8_nattra_1(A!0, B!1, k11_isocat_2(A!0, B!1, C!2, D!3), k11_isocat_2(A!0, B!1, C!2, E!4), k11_isocat_2(A!0, B!1, C!2, F!5), k13_isocat_2(A!0, B!1, C!2, D!3, E!4, G!6), k13_isocat_2(A!0, B!1, C!2, E!4, F!5, H!7))) & r4_nattra_1(u1_cat_1(A!0), u2_cat_1(C!2), u1_cat_1(A!0), u2_cat_1(C!2), k14_isocat_2(A!0, B!1, C!2, D!3, F!5, k8_nattra_1(A!0, k11_cat_2(B!1, C!2), D!3, E!4, F!5, G!6, H!7)), k8_nattra_1(A!0, C!2, k12_isocat_2(A!0, B!1, C!2, D!3), k12_isocat_2(A!0, B!1, C!2, E!4), k12_isocat_2(A!0, B!1, C!2, F!5), k14_isocat_2(A!0, B!1, C!2, D!3, E!4, G!6), k14_isocat_2(A!0, B!1, C!2, E!4, F!5, H!7))))),
% 18.96/19.18 inference(or_elim,[status(thm)],[72])).
% 18.96/19.18 tff(531,plain,
% 18.96/19.18 ((~r4_nattra_1(u1_cat_1(A!0), u2_cat_1(B!1), u1_cat_1(A!0), u2_cat_1(B!1), k13_isocat_2(A!0, B!1, C!2, D!3, F!5, k8_nattra_1(A!0, k11_cat_2(B!1, C!2), D!3, E!4, F!5, G!6, H!7)), k8_nattra_1(A!0, B!1, k11_isocat_2(A!0, B!1, C!2, D!3), k11_isocat_2(A!0, B!1, C!2, E!4), k11_isocat_2(A!0, B!1, C!2, F!5), k13_isocat_2(A!0, B!1, C!2, D!3, E!4, G!6), k13_isocat_2(A!0, B!1, C!2, E!4, F!5, H!7)))) | (~r4_nattra_1(u1_cat_1(A!0), u2_cat_1(C!2), u1_cat_1(A!0), u2_cat_1(C!2), k14_isocat_2(A!0, B!1, C!2, D!3, F!5, k8_nattra_1(A!0, k11_cat_2(B!1, C!2), D!3, E!4, F!5, G!6, H!7)), k8_nattra_1(A!0, C!2, k12_isocat_2(A!0, B!1, C!2, D!3), k12_isocat_2(A!0, B!1, C!2, E!4), k12_isocat_2(A!0, B!1, C!2, F!5), k14_isocat_2(A!0, B!1, C!2, D!3, E!4, G!6), k14_isocat_2(A!0, B!1, C!2, E!4, F!5, H!7))))),
% 18.96/19.18 inference(modus_ponens,[status(thm)],[530, 529])).
% 18.96/19.18 tff(532,plain,
% 18.96/19.18 ($false),
% 18.96/19.18 inference(unit_resolution,[status(thm)],[531, 525, 310])).
% 18.96/19.18 % SZS output end Proof
% 19.03/19.19 % E exiting
%------------------------------------------------------------------------------