TSTP Solution File: CAT028+1 by Z3---4.8.9.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Z3---4.8.9.0
% Problem : CAT028+1 : TPTP v8.1.0. Released v3.4.0.
% Transfm : none
% Format : tptp
% Command : z3_tptp -proof -model -t:%d -file:%s
% Computer : n007.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 : Tue Sep 6 17:29:57 EDT 2022
% Result : Theorem 27.00s 17.49s
% Output : Proof 27.31s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12 % Problem : CAT028+1 : TPTP v8.1.0. Released v3.4.0.
% 0.12/0.13 % Command : z3_tptp -proof -model -t:%d -file:%s
% 0.13/0.34 % Computer : n007.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Tue Aug 30 07:07:15 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.13/0.35 Z3tptp [4.8.9.0] (c) 2006-20**. Microsoft Corp.
% 0.13/0.35 Usage: tptp [options] [-file:]file
% 0.13/0.35 -h, -? prints this message.
% 0.13/0.35 -smt2 print SMT-LIB2 benchmark.
% 0.13/0.35 -m, -model generate model.
% 0.13/0.35 -p, -proof generate proof.
% 0.13/0.35 -c, -core generate unsat core of named formulas.
% 0.13/0.35 -st, -statistics display statistics.
% 0.13/0.35 -t:timeout set timeout (in second).
% 0.13/0.35 -smt2status display status in smt2 format instead of SZS.
% 0.13/0.35 -check_status check the status produced by Z3 against annotation in benchmark.
% 0.13/0.35 -<param>:<value> configuration parameter and value.
% 0.13/0.35 -o:<output-file> file to place output in.
% 27.00/17.49 % SZS status Theorem
% 27.00/17.49 % SZS output start Proof
% 27.00/17.49 tff(r4_nattra_1_type, type, (
% 27.00/17.49 r4_nattra_1: ( $i * $i * $i * $i * $i * $i ) > $o)).
% 27.00/17.49 tff(k8_nattra_1_type, type, (
% 27.00/17.49 k8_nattra_1: ( $i * $i * $i * $i * $i * $i * $i ) > $i)).
% 27.00/17.49 tff(k13_isocat_2_type, type, (
% 27.00/17.49 k13_isocat_2: ( $i * $i * $i * $i * $i * $i ) > $i)).
% 27.00/17.49 tff(tptp_fun_H_7_type, type, (
% 27.00/17.49 tptp_fun_H_7: $i)).
% 27.00/17.49 tff(tptp_fun_F_5_type, type, (
% 27.00/17.49 tptp_fun_F_5: $i)).
% 27.00/17.49 tff(tptp_fun_E_4_type, type, (
% 27.00/17.49 tptp_fun_E_4: $i)).
% 27.00/17.49 tff(tptp_fun_C_2_type, type, (
% 27.00/17.49 tptp_fun_C_2: $i)).
% 27.00/17.49 tff(tptp_fun_B_1_type, type, (
% 27.00/17.49 tptp_fun_B_1: $i)).
% 27.00/17.49 tff(tptp_fun_A_0_type, type, (
% 27.00/17.49 tptp_fun_A_0: $i)).
% 27.00/17.49 tff(tptp_fun_G_6_type, type, (
% 27.00/17.49 tptp_fun_G_6: $i)).
% 27.00/17.49 tff(tptp_fun_D_3_type, type, (
% 27.00/17.49 tptp_fun_D_3: $i)).
% 27.00/17.49 tff(k11_isocat_2_type, type, (
% 27.00/17.49 k11_isocat_2: ( $i * $i * $i * $i ) > $i)).
% 27.00/17.49 tff(k11_cat_2_type, type, (
% 27.00/17.49 k11_cat_2: ( $i * $i ) > $i)).
% 27.00/17.49 tff(u2_cat_1_type, type, (
% 27.00/17.49 u2_cat_1: $i > $i)).
% 27.00/17.49 tff(u1_cat_1_type, type, (
% 27.00/17.49 u1_cat_1: $i > $i)).
% 27.00/17.49 tff(k6_isocat_1_type, type, (
% 27.00/17.49 k6_isocat_1: ( $i * $i * $i * $i * $i * $i * $i ) > $i)).
% 27.00/17.49 tff(k16_cat_2_type, type, (
% 27.00/17.49 k16_cat_2: ( $i * $i ) > $i)).
% 27.00/17.49 tff(k2_isocat_1_type, type, (
% 27.00/17.49 k2_isocat_1: ( $i * $i * $i * $i * $i ) > $i)).
% 27.00/17.49 tff(k8_isocat_2_type, type, (
% 27.00/17.49 k8_isocat_2: ( $i * $i ) > $i)).
% 27.00/17.49 tff(m2_nattra_1_type, type, (
% 27.00/17.49 m2_nattra_1: ( $i * $i * $i * $i * $i ) > $o)).
% 27.00/17.49 tff(m2_cat_1_type, type, (
% 27.00/17.49 m2_cat_1: ( $i * $i * $i ) > $o)).
% 27.00/17.49 tff(v2_cat_1_type, type, (
% 27.00/17.49 v2_cat_1: $i > $o)).
% 27.00/17.49 tff(l1_cat_1_type, type, (
% 27.00/17.49 l1_cat_1: $i > $o)).
% 27.00/17.49 tff(r2_nattra_1_type, type, (
% 27.00/17.49 r2_nattra_1: ( $i * $i * $i * $i ) > $o)).
% 27.00/17.49 tff(k14_isocat_2_type, type, (
% 27.00/17.49 k14_isocat_2: ( $i * $i * $i * $i * $i * $i ) > $i)).
% 27.00/17.49 tff(k12_isocat_2_type, type, (
% 27.00/17.49 k12_isocat_2: ( $i * $i * $i * $i ) > $i)).
% 27.00/17.49 tff(k17_cat_2_type, type, (
% 27.00/17.49 k17_cat_2: ( $i * $i ) > $i)).
% 27.00/17.49 tff(k9_isocat_2_type, type, (
% 27.00/17.49 k9_isocat_2: ( $i * $i ) > $i)).
% 27.00/17.49 tff(1,plain,
% 27.00/17.49 (^[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))))))))))),
% 27.00/17.49 inference(bind,[status(th)],[])).
% 27.00/17.49 tff(2,plain,
% 27.00/17.49 (![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)))))))))),
% 27.00/17.49 inference(quant_intro,[status(thm)],[1])).
% 27.00/17.49 tff(3,plain,
% 27.00/17.49 (^[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))))))),
% 27.00/17.49 inference(bind,[status(th)],[])).
% 27.00/17.49 tff(4,plain,
% 27.00/17.49 (![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)))))),
% 27.00/17.49 inference(quant_intro,[status(thm)],[3])).
% 27.00/17.49 tff(5,plain,
% 27.00/17.49 (^[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))))))),
% 27.00/17.49 inference(bind,[status(th)],[])).
% 27.00/17.49 tff(6,plain,
% 27.00/17.49 (![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)))))),
% 27.00/17.49 inference(quant_intro,[status(thm)],[5])).
% 27.00/17.49 tff(7,plain,
% 27.00/17.49 (![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)))))),
% 27.00/17.49 inference(transitivity,[status(thm)],[6, 4])).
% 27.00/17.49 tff(8,plain,
% 27.00/17.49 (^[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)))))))),
% 27.00/17.49 inference(bind,[status(th)],[])).
% 27.00/17.49 tff(9,plain,
% 27.00/17.49 (![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)))))),
% 27.00/17.49 inference(quant_intro,[status(thm)],[8])).
% 27.00/17.49 tff(10,plain,
% 27.00/17.49 (![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)))))))))),
% 27.00/17.49 inference(rewrite,[status(thm)],[])).
% 27.00/17.49 tff(11,plain,
% 27.00/17.49 (^[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)))))))))))),
% 27.00/17.50 inference(bind,[status(th)],[])).
% 27.00/17.50 tff(12,plain,
% 27.00/17.50 (![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)))))))))),
% 27.00/17.50 inference(quant_intro,[status(thm)],[11])).
% 27.00/17.50 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/sandbox/benchmark/theBenchmark.p','d9_isocat_2')).
% 27.00/17.50 tff(14,plain,
% 27.00/17.50 (![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)))))))))),
% 27.00/17.50 inference(modus_ponens,[status(thm)],[13, 12])).
% 27.00/17.50 tff(15,plain,
% 27.00/17.50 (![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)))))))))),
% 27.00/17.50 inference(modus_ponens,[status(thm)],[14, 10])).
% 27.00/17.50 tff(16,plain,(
% 27.00/17.50 ![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)))))))))),
% 27.00/17.50 inference(skolemize,[status(sab)],[15])).
% 27.00/17.50 tff(17,plain,
% 27.00/17.50 (![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)))))),
% 27.00/17.50 inference(modus_ponens,[status(thm)],[16, 9])).
% 27.00/17.50 tff(18,plain,
% 27.00/17.50 (![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)))))),
% 27.00/17.50 inference(modus_ponens,[status(thm)],[17, 7])).
% 27.00/17.50 tff(19,plain,
% 27.00/17.50 (![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)))))))))),
% 27.00/17.50 inference(modus_ponens,[status(thm)],[18, 2])).
% 27.00/17.50 tff(20,plain,
% 27.00/17.50 (((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)))),
% 27.00/17.50 inference(rewrite,[status(thm)],[])).
% 27.00/17.50 tff(21,plain,
% 27.00/17.50 (((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)))),
% 27.00/17.50 inference(rewrite,[status(thm)],[])).
% 27.00/17.50 tff(22,plain,
% 27.00/17.50 (((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)))),
% 27.00/17.50 inference(rewrite,[status(thm)],[])).
% 27.00/17.50 tff(23,plain,
% 27.00/17.50 ((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)))),
% 27.00/17.50 inference(rewrite,[status(thm)],[])).
% 27.00/17.50 tff(24,plain,
% 27.00/17.50 ((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)))),
% 27.00/17.51 inference(rewrite,[status(thm)],[])).
% 27.00/17.51 tff(25,plain,
% 27.00/17.51 (((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)))),
% 27.00/17.51 inference(rewrite,[status(thm)],[])).
% 27.00/17.51 tff(26,plain,
% 27.00/17.51 ((~(~m2_cat_1(F!5, A!0, k11_cat_2(B!1, C!2)))) <=> m2_cat_1(F!5, A!0, k11_cat_2(B!1, C!2))),
% 27.00/17.51 inference(rewrite,[status(thm)],[])).
% 27.00/17.51 tff(27,plain,
% 27.00/17.51 ((~(~(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)))) <=> (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))),
% 27.00/17.51 inference(rewrite,[status(thm)],[])).
% 27.00/17.51 tff(28,plain,
% 27.00/17.51 (((~(~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))))))) <=> (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)))))))),
% 27.00/17.51 inference(rewrite,[status(thm)],[])).
% 27.00/17.51 tff(29,plain,
% 27.00/17.51 ((((~(~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)))),
% 27.00/17.51 inference(monotonicity,[status(thm)],[28, 27, 26])).
% 27.00/17.51 tff(30,plain,
% 27.00/17.51 ((((~(~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)))),
% 27.00/17.51 inference(transitivity,[status(thm)],[29, 25])).
% 27.00/17.51 tff(31,plain,
% 27.00/17.51 ((~(~m2_cat_1(E!4, A!0, k11_cat_2(B!1, C!2)))) <=> m2_cat_1(E!4, A!0, k11_cat_2(B!1, C!2))),
% 27.00/17.51 inference(rewrite,[status(thm)],[])).
% 27.00/17.51 tff(32,plain,
% 27.00/17.51 (((~(~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))))),
% 27.00/17.52 inference(monotonicity,[status(thm)],[31, 30])).
% 27.00/17.52 tff(33,plain,
% 27.00/17.52 (((~(~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)))),
% 27.00/17.52 inference(transitivity,[status(thm)],[32, 24])).
% 27.00/17.52 tff(34,plain,
% 27.00/17.52 ((~(~m2_cat_1(D!3, A!0, k11_cat_2(B!1, C!2)))) <=> m2_cat_1(D!3, A!0, k11_cat_2(B!1, C!2))),
% 27.00/17.52 inference(rewrite,[status(thm)],[])).
% 27.00/17.52 tff(35,plain,
% 27.00/17.52 (((~(~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))))),
% 27.00/17.52 inference(monotonicity,[status(thm)],[34, 33])).
% 27.00/17.52 tff(36,plain,
% 27.00/17.52 (((~(~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)))),
% 27.00/17.52 inference(transitivity,[status(thm)],[35, 23])).
% 27.00/17.52 tff(37,plain,
% 27.00/17.52 ((~(~(v2_cat_1(C!2) & l1_cat_1(C!2)))) <=> (v2_cat_1(C!2) & l1_cat_1(C!2))),
% 27.00/17.52 inference(rewrite,[status(thm)],[])).
% 27.00/17.52 tff(38,plain,
% 27.00/17.52 (((~(~(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))))),
% 27.00/17.52 inference(monotonicity,[status(thm)],[37, 36])).
% 27.00/17.52 tff(39,plain,
% 27.00/17.52 (((~(~(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)))),
% 27.00/17.53 inference(transitivity,[status(thm)],[38, 22])).
% 27.00/17.53 tff(40,plain,
% 27.00/17.53 ((~(~(v2_cat_1(B!1) & l1_cat_1(B!1)))) <=> (v2_cat_1(B!1) & l1_cat_1(B!1))),
% 27.00/17.53 inference(rewrite,[status(thm)],[])).
% 27.00/17.53 tff(41,plain,
% 27.00/17.53 (((~(~(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))))),
% 27.00/17.53 inference(monotonicity,[status(thm)],[40, 39])).
% 27.00/17.53 tff(42,plain,
% 27.00/17.53 (((~(~(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)))),
% 27.00/17.53 inference(transitivity,[status(thm)],[41, 21])).
% 27.00/17.53 tff(43,plain,
% 27.00/17.53 ((~(~(v2_cat_1(A!0) & l1_cat_1(A!0)))) <=> (v2_cat_1(A!0) & l1_cat_1(A!0))),
% 27.00/17.53 inference(rewrite,[status(thm)],[])).
% 27.00/17.53 tff(44,plain,
% 27.00/17.53 (((~(~(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))))),
% 27.00/17.53 inference(monotonicity,[status(thm)],[43, 42])).
% 27.00/17.53 tff(45,plain,
% 27.00/17.53 (((~(~(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)))),
% 27.00/17.53 inference(transitivity,[status(thm)],[44, 20])).
% 27.00/17.53 tff(46,plain,
% 27.00/17.53 ((~![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))))))))))),
% 27.00/17.53 inference(rewrite,[status(thm)],[])).
% 27.00/17.53 tff(47,plain,
% 27.00/17.53 ((~![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))))))))))),
% 27.00/17.53 inference(rewrite,[status(thm)],[])).
% 27.00/17.53 tff(48,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/sandbox/benchmark/theBenchmark.p','t41_isocat_2')).
% 27.00/17.53 tff(49,plain,
% 27.00/17.53 (~![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)))))))))),
% 27.00/17.53 inference(modus_ponens,[status(thm)],[48, 47])).
% 27.00/17.53 tff(50,plain,
% 27.00/17.53 (~![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)))))))))),
% 27.00/17.53 inference(modus_ponens,[status(thm)],[49, 46])).
% 27.00/17.53 tff(51,plain,
% 27.00/17.53 (~![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)))))))))),
% 27.00/17.53 inference(modus_ponens,[status(thm)],[50, 46])).
% 27.00/17.53 tff(52,plain,
% 27.00/17.53 (~![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)))))))))),
% 27.00/17.53 inference(modus_ponens,[status(thm)],[51, 46])).
% 27.00/17.53 tff(53,plain,
% 27.00/17.53 (~![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)))))))))),
% 27.00/17.53 inference(modus_ponens,[status(thm)],[52, 46])).
% 27.00/17.53 tff(54,plain,
% 27.00/17.53 (~![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)))))))))),
% 27.00/17.53 inference(modus_ponens,[status(thm)],[53, 46])).
% 27.00/17.53 tff(55,plain,
% 27.00/17.53 (~![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)))))))))),
% 27.00/17.53 inference(modus_ponens,[status(thm)],[54, 46])).
% 27.00/17.53 tff(56,plain,
% 27.00/17.53 (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))),
% 27.00/17.53 inference(modus_ponens,[status(thm)],[55, 45])).
% 27.00/17.53 tff(57,plain,
% 27.00/17.53 (l1_cat_1(A!0)),
% 27.00/17.53 inference(and_elim,[status(thm)],[56])).
% 27.00/17.53 tff(58,plain,
% 27.00/17.53 (v2_cat_1(A!0)),
% 27.00/17.53 inference(and_elim,[status(thm)],[56])).
% 27.00/17.53 tff(59,plain,
% 27.00/17.53 (((~![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)))))))))),
% 27.00/17.53 inference(rewrite,[status(thm)],[])).
% 27.00/17.53 tff(60,plain,
% 27.00/17.53 ((~![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)))))))))),
% 27.00/17.53 inference(quant_inst,[status(thm)],[])).
% 27.00/17.53 tff(61,plain,
% 27.00/17.53 ((~![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))))))))),
% 27.00/17.53 inference(modus_ponens,[status(thm)],[60, 59])).
% 27.00/17.53 tff(62,plain,
% 27.00/17.53 (![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))))))))),
% 27.00/17.53 inference(unit_resolution,[status(thm)],[61, 58, 57, 19])).
% 27.00/17.53 tff(63,plain,
% 27.00/17.53 (l1_cat_1(B!1)),
% 27.00/17.53 inference(and_elim,[status(thm)],[56])).
% 27.00/17.53 tff(64,plain,
% 27.00/17.53 (v2_cat_1(B!1)),
% 27.00/17.53 inference(and_elim,[status(thm)],[56])).
% 27.00/17.53 tff(65,plain,
% 27.00/17.53 (((~![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))))))))),
% 27.00/17.53 inference(rewrite,[status(thm)],[])).
% 27.00/17.53 tff(66,plain,
% 27.00/17.53 ((~![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))))))))),
% 27.00/17.53 inference(quant_inst,[status(thm)],[])).
% 27.00/17.53 tff(67,plain,
% 27.00/17.53 ((~![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)))))))),
% 27.00/17.54 inference(modus_ponens,[status(thm)],[66, 65])).
% 27.00/17.54 tff(68,plain,
% 27.00/17.54 (![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)))))))),
% 27.00/17.54 inference(unit_resolution,[status(thm)],[67, 64, 63, 62])).
% 27.00/17.54 tff(69,plain,
% 27.00/17.54 (l1_cat_1(C!2)),
% 27.00/17.54 inference(and_elim,[status(thm)],[56])).
% 27.00/17.54 tff(70,plain,
% 27.00/17.54 (v2_cat_1(C!2)),
% 27.00/17.54 inference(and_elim,[status(thm)],[56])).
% 27.00/17.54 tff(71,plain,
% 27.00/17.54 (((~![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)))))))),
% 27.00/17.54 inference(rewrite,[status(thm)],[])).
% 27.00/17.54 tff(72,plain,
% 27.00/17.54 ((~![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)))))))),
% 27.00/17.54 inference(quant_inst,[status(thm)],[])).
% 27.00/17.54 tff(73,plain,
% 27.00/17.54 ((~![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))))))),
% 27.00/17.54 inference(modus_ponens,[status(thm)],[72, 71])).
% 27.00/17.54 tff(74,plain,
% 27.00/17.54 (![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))))))),
% 27.09/17.54 inference(unit_resolution,[status(thm)],[73, 70, 69, 68])).
% 27.09/17.54 tff(75,plain,
% 27.09/17.54 (m2_cat_1(E!4, A!0, k11_cat_2(B!1, C!2))),
% 27.09/17.54 inference(and_elim,[status(thm)],[56])).
% 27.09/17.54 tff(76,plain,
% 27.09/17.54 (((~![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))))))),
% 27.09/17.54 inference(rewrite,[status(thm)],[])).
% 27.09/17.54 tff(77,plain,
% 27.09/17.54 ((~![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))))))),
% 27.09/17.54 inference(quant_inst,[status(thm)],[])).
% 27.09/17.54 tff(78,plain,
% 27.09/17.54 ((~![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)))))),
% 27.09/17.54 inference(modus_ponens,[status(thm)],[77, 76])).
% 27.09/17.54 tff(79,plain,
% 27.09/17.54 (![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)))))),
% 27.09/17.54 inference(unit_resolution,[status(thm)],[78, 75, 74])).
% 27.09/17.54 tff(80,plain,
% 27.09/17.54 (m2_cat_1(F!5, A!0, k11_cat_2(B!1, C!2))),
% 27.09/17.54 inference(and_elim,[status(thm)],[56])).
% 27.09/17.54 tff(81,plain,
% 27.09/17.54 (((~![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)))))),
% 27.09/17.54 inference(rewrite,[status(thm)],[])).
% 27.09/17.54 tff(82,plain,
% 27.09/17.54 ((~![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)))))),
% 27.09/17.54 inference(quant_inst,[status(thm)],[])).
% 27.09/17.54 tff(83,plain,
% 27.09/17.54 ((~![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))))),
% 27.09/17.54 inference(modus_ponens,[status(thm)],[82, 81])).
% 27.09/17.54 tff(84,plain,
% 27.09/17.54 (![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))))),
% 27.09/17.54 inference(unit_resolution,[status(thm)],[83, 80, 79])).
% 27.09/17.54 tff(85,plain,
% 27.09/17.54 (~((~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)))))),
% 27.09/17.54 inference(and_elim,[status(thm)],[56])).
% 27.09/17.54 tff(86,plain,
% 27.09/17.54 (m2_nattra_1(H!7, A!0, k11_cat_2(B!1, C!2), E!4, F!5)),
% 27.09/17.54 inference(or_elim,[status(thm)],[85])).
% 27.09/17.54 tff(87,plain,
% 27.09/17.54 (((~![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))))),
% 27.09/17.54 inference(rewrite,[status(thm)],[])).
% 27.09/17.54 tff(88,plain,
% 27.09/17.54 ((~![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))))),
% 27.09/17.54 inference(quant_inst,[status(thm)],[])).
% 27.09/17.54 tff(89,plain,
% 27.09/17.54 ((~![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)))),
% 27.09/17.54 inference(modus_ponens,[status(thm)],[88, 87])).
% 27.09/17.54 tff(90,plain,
% 27.09/17.54 (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))),
% 27.09/17.54 inference(unit_resolution,[status(thm)],[89, 86, 84])).
% 27.09/17.54 tff(91,plain,
% 27.09/17.54 (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)),
% 27.09/17.54 inference(symmetry,[status(thm)],[90])).
% 27.09/17.54 tff(92,plain,
% 27.09/17.54 (^[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))))),
% 27.09/17.54 inference(bind,[status(th)],[])).
% 27.09/17.54 tff(93,plain,
% 27.09/17.54 (![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)))),
% 27.09/17.54 inference(quant_intro,[status(thm)],[92])).
% 27.09/17.54 tff(94,plain,
% 27.09/17.54 (^[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)))))),
% 27.09/17.54 inference(bind,[status(th)],[])).
% 27.09/17.54 tff(95,plain,
% 27.09/17.54 (![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)))),
% 27.09/17.54 inference(quant_intro,[status(thm)],[94])).
% 27.09/17.54 tff(96,plain,
% 27.09/17.54 (![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)))),
% 27.09/17.54 inference(rewrite,[status(thm)],[])).
% 27.09/17.54 tff(97,plain,
% 27.09/17.54 (^[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)))))),
% 27.09/17.54 inference(bind,[status(th)],[])).
% 27.09/17.54 tff(98,plain,
% 27.09/17.54 (![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)))),
% 27.09/17.54 inference(quant_intro,[status(thm)],[97])).
% 27.09/17.54 tff(99,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/sandbox/benchmark/theBenchmark.p','redefinition_k8_isocat_2')).
% 27.09/17.54 tff(100,plain,
% 27.09/17.54 (![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)))),
% 27.09/17.54 inference(modus_ponens,[status(thm)],[99, 98])).
% 27.09/17.54 tff(101,plain,
% 27.09/17.54 (![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)))),
% 27.09/17.54 inference(modus_ponens,[status(thm)],[100, 96])).
% 27.09/17.54 tff(102,plain,(
% 27.09/17.54 ![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)))),
% 27.09/17.54 inference(skolemize,[status(sab)],[101])).
% 27.09/17.54 tff(103,plain,
% 27.09/17.54 (![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)))),
% 27.09/17.54 inference(modus_ponens,[status(thm)],[102, 95])).
% 27.09/17.54 tff(104,plain,
% 27.09/17.54 (![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)))),
% 27.09/17.54 inference(modus_ponens,[status(thm)],[103, 93])).
% 27.09/17.54 tff(105,plain,
% 27.09/17.54 (((~![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)))),
% 27.09/17.54 inference(rewrite,[status(thm)],[])).
% 27.09/17.54 tff(106,plain,
% 27.09/17.54 (((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)))),
% 27.09/17.54 inference(rewrite,[status(thm)],[])).
% 27.09/17.54 tff(107,plain,
% 27.09/17.54 (((~![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))))),
% 27.09/17.54 inference(monotonicity,[status(thm)],[106])).
% 27.09/17.54 tff(108,plain,
% 27.09/17.54 (((~![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)))),
% 27.09/17.54 inference(transitivity,[status(thm)],[107, 105])).
% 27.09/17.55 tff(109,plain,
% 27.09/17.55 ((~![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)))),
% 27.09/17.55 inference(quant_inst,[status(thm)],[])).
% 27.09/17.55 tff(110,plain,
% 27.09/17.55 ((~![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))),
% 27.09/17.55 inference(modus_ponens,[status(thm)],[109, 108])).
% 27.09/17.55 tff(111,plain,
% 27.09/17.55 (k8_isocat_2(B!1, C!2) = k16_cat_2(B!1, C!2)),
% 27.09/17.55 inference(unit_resolution,[status(thm)],[110, 64, 63, 70, 69, 104])).
% 27.09/17.55 tff(112,plain,
% 27.09/17.55 (k16_cat_2(B!1, C!2) = k8_isocat_2(B!1, C!2)),
% 27.09/17.55 inference(symmetry,[status(thm)],[111])).
% 27.09/17.55 tff(113,plain,
% 27.09/17.55 (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))),
% 27.09/17.55 inference(monotonicity,[status(thm)],[112])).
% 27.09/17.55 tff(114,plain,
% 27.09/17.55 (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)),
% 27.09/17.55 inference(transitivity,[status(thm)],[113, 91])).
% 27.09/17.55 tff(115,plain,
% 27.09/17.55 (m2_cat_1(D!3, A!0, k11_cat_2(B!1, C!2))),
% 27.09/17.55 inference(and_elim,[status(thm)],[56])).
% 27.09/17.55 tff(116,plain,
% 27.09/17.55 (((~![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))))))),
% 27.09/17.55 inference(rewrite,[status(thm)],[])).
% 27.09/17.55 tff(117,plain,
% 27.09/17.55 ((~![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))))))),
% 27.09/17.55 inference(quant_inst,[status(thm)],[])).
% 27.09/17.55 tff(118,plain,
% 27.09/17.55 ((~![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)))))),
% 27.09/17.55 inference(modus_ponens,[status(thm)],[117, 116])).
% 27.09/17.55 tff(119,plain,
% 27.09/17.55 (![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)))))),
% 27.09/17.55 inference(unit_resolution,[status(thm)],[118, 115, 74])).
% 27.09/17.55 tff(120,plain,
% 27.09/17.55 (((~![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)))))),
% 27.09/17.55 inference(rewrite,[status(thm)],[])).
% 27.09/17.55 tff(121,plain,
% 27.09/17.55 ((~![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)))))),
% 27.09/17.55 inference(quant_inst,[status(thm)],[])).
% 27.09/17.55 tff(122,plain,
% 27.09/17.55 ((~![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))))),
% 27.09/17.55 inference(modus_ponens,[status(thm)],[121, 120])).
% 27.09/17.55 tff(123,plain,
% 27.09/17.55 (![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))))),
% 27.09/17.55 inference(unit_resolution,[status(thm)],[122, 75, 119])).
% 27.09/17.55 tff(124,plain,
% 27.09/17.55 (m2_nattra_1(G!6, A!0, k11_cat_2(B!1, C!2), D!3, E!4)),
% 27.09/17.55 inference(and_elim,[status(thm)],[56])).
% 27.09/17.55 tff(125,plain,
% 27.09/17.55 (((~![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))))),
% 27.09/17.55 inference(rewrite,[status(thm)],[])).
% 27.09/17.55 tff(126,plain,
% 27.09/17.55 ((~![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))))),
% 27.09/17.55 inference(quant_inst,[status(thm)],[])).
% 27.09/17.55 tff(127,plain,
% 27.09/17.55 ((~![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)))),
% 27.09/17.55 inference(modus_ponens,[status(thm)],[126, 125])).
% 27.09/17.55 tff(128,plain,
% 27.09/17.55 (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))),
% 27.09/17.55 inference(unit_resolution,[status(thm)],[127, 124, 123])).
% 27.09/17.55 tff(129,plain,
% 27.09/17.55 (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)),
% 27.09/17.55 inference(symmetry,[status(thm)],[128])).
% 27.09/17.55 tff(130,plain,
% 27.09/17.55 (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))),
% 27.09/17.55 inference(monotonicity,[status(thm)],[112])).
% 27.09/17.55 tff(131,plain,
% 27.09/17.55 (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)),
% 27.09/17.55 inference(transitivity,[status(thm)],[130, 129])).
% 27.09/17.55 tff(132,plain,
% 27.09/17.55 (^[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))))))))),
% 27.09/17.55 inference(bind,[status(th)],[])).
% 27.09/17.55 tff(133,plain,
% 27.09/17.55 (![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)))))))),
% 27.09/17.55 inference(quant_intro,[status(thm)],[132])).
% 27.09/17.55 tff(134,plain,
% 27.09/17.55 (^[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))))))),
% 27.09/17.55 inference(bind,[status(th)],[])).
% 27.09/17.55 tff(135,plain,
% 27.09/17.55 (![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)))))),
% 27.09/17.55 inference(quant_intro,[status(thm)],[134])).
% 27.09/17.55 tff(136,plain,
% 27.09/17.55 (^[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))))))),
% 27.09/17.55 inference(bind,[status(th)],[])).
% 27.09/17.55 tff(137,plain,
% 27.09/17.55 (![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)))))),
% 27.09/17.55 inference(quant_intro,[status(thm)],[136])).
% 27.09/17.55 tff(138,plain,
% 27.09/17.55 (![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)))))),
% 27.09/17.55 inference(transitivity,[status(thm)],[137, 135])).
% 27.09/17.55 tff(139,plain,
% 27.09/17.55 (^[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)))))))),
% 27.09/17.55 inference(bind,[status(th)],[])).
% 27.09/17.55 tff(140,plain,
% 27.09/17.55 (![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)))))),
% 27.09/17.55 inference(quant_intro,[status(thm)],[139])).
% 27.09/17.55 tff(141,plain,
% 27.09/17.55 (![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)))))))),
% 27.09/17.55 inference(rewrite,[status(thm)],[])).
% 27.09/17.55 tff(142,plain,
% 27.09/17.55 (^[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)))))))))),
% 27.09/17.55 inference(bind,[status(th)],[])).
% 27.09/17.55 tff(143,plain,
% 27.09/17.55 (![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)))))))),
% 27.09/17.55 inference(quant_intro,[status(thm)],[142])).
% 27.09/17.55 tff(144,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/sandbox/benchmark/theBenchmark.p','d7_isocat_2')).
% 27.09/17.55 tff(145,plain,
% 27.09/17.55 (![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)))))))),
% 27.09/17.55 inference(modus_ponens,[status(thm)],[144, 143])).
% 27.09/17.55 tff(146,plain,
% 27.09/17.55 (![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)))))))),
% 27.09/17.55 inference(modus_ponens,[status(thm)],[145, 141])).
% 27.09/17.55 tff(147,plain,(
% 27.09/17.55 ![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)))))))),
% 27.09/17.55 inference(skolemize,[status(sab)],[146])).
% 27.09/17.55 tff(148,plain,
% 27.09/17.55 (![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)))))),
% 27.09/17.55 inference(modus_ponens,[status(thm)],[147, 140])).
% 27.09/17.55 tff(149,plain,
% 27.09/17.55 (![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)))))),
% 27.09/17.55 inference(modus_ponens,[status(thm)],[148, 138])).
% 27.09/17.55 tff(150,plain,
% 27.09/17.55 (![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)))))))),
% 27.09/17.55 inference(modus_ponens,[status(thm)],[149, 133])).
% 27.09/17.55 tff(151,plain,
% 27.09/17.55 (((~![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)))))))),
% 27.09/17.55 inference(rewrite,[status(thm)],[])).
% 27.09/17.55 tff(152,plain,
% 27.09/17.55 ((~![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)))))))),
% 27.09/17.55 inference(quant_inst,[status(thm)],[])).
% 27.09/17.55 tff(153,plain,
% 27.09/17.55 ((~![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))))))),
% 27.09/17.55 inference(modus_ponens,[status(thm)],[152, 151])).
% 27.09/17.55 tff(154,plain,
% 27.09/17.55 (![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))))))),
% 27.09/17.55 inference(unit_resolution,[status(thm)],[153, 58, 57, 150])).
% 27.09/17.55 tff(155,plain,
% 27.09/17.55 (((~![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))))))),
% 27.09/17.55 inference(rewrite,[status(thm)],[])).
% 27.09/17.55 tff(156,plain,
% 27.09/17.55 ((~![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))))))),
% 27.09/17.55 inference(quant_inst,[status(thm)],[])).
% 27.09/17.55 tff(157,plain,
% 27.09/17.55 ((~![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)))))),
% 27.09/17.55 inference(modus_ponens,[status(thm)],[156, 155])).
% 27.09/17.55 tff(158,plain,
% 27.09/17.55 (![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)))))),
% 27.09/17.55 inference(unit_resolution,[status(thm)],[157, 64, 63, 154])).
% 27.09/17.55 tff(159,plain,
% 27.09/17.55 (((~![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)))))),
% 27.09/17.55 inference(rewrite,[status(thm)],[])).
% 27.09/17.55 tff(160,plain,
% 27.09/17.55 ((~![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)))))),
% 27.09/17.55 inference(quant_inst,[status(thm)],[])).
% 27.09/17.55 tff(161,plain,
% 27.09/17.55 ((~![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))))),
% 27.09/17.55 inference(modus_ponens,[status(thm)],[160, 159])).
% 27.09/17.55 tff(162,plain,
% 27.09/17.55 (![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))))),
% 27.09/17.56 inference(unit_resolution,[status(thm)],[161, 70, 69, 158])).
% 27.09/17.56 tff(163,plain,
% 27.09/17.56 (((~![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))))),
% 27.09/17.56 inference(rewrite,[status(thm)],[])).
% 27.09/17.56 tff(164,plain,
% 27.09/17.56 ((~![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))))),
% 27.09/17.56 inference(quant_inst,[status(thm)],[])).
% 27.09/17.56 tff(165,plain,
% 27.09/17.56 ((~![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)))),
% 27.09/17.56 inference(modus_ponens,[status(thm)],[164, 163])).
% 27.09/17.56 tff(166,plain,
% 27.09/17.56 (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))),
% 27.09/17.56 inference(unit_resolution,[status(thm)],[165, 80, 162])).
% 27.09/17.56 tff(167,plain,
% 27.09/17.56 (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)),
% 27.09/17.56 inference(symmetry,[status(thm)],[166])).
% 27.09/17.56 tff(168,plain,
% 27.09/17.56 (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))),
% 27.09/17.56 inference(monotonicity,[status(thm)],[112])).
% 27.09/17.56 tff(169,plain,
% 27.09/17.56 (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)),
% 27.09/17.56 inference(transitivity,[status(thm)],[168, 167])).
% 27.09/17.56 tff(170,plain,
% 27.09/17.56 (((~![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))))),
% 27.09/17.56 inference(rewrite,[status(thm)],[])).
% 27.09/17.56 tff(171,plain,
% 27.09/17.56 ((~![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))))),
% 27.09/17.56 inference(quant_inst,[status(thm)],[])).
% 27.09/17.56 tff(172,plain,
% 27.09/17.56 ((~![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)))),
% 27.09/17.56 inference(modus_ponens,[status(thm)],[171, 170])).
% 27.09/17.56 tff(173,plain,
% 27.09/17.56 (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))),
% 27.09/17.56 inference(unit_resolution,[status(thm)],[172, 75, 162])).
% 27.09/17.56 tff(174,plain,
% 27.09/17.56 (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)),
% 27.09/17.56 inference(symmetry,[status(thm)],[173])).
% 27.09/17.56 tff(175,plain,
% 27.09/17.56 (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))),
% 27.09/17.56 inference(monotonicity,[status(thm)],[112])).
% 27.09/17.56 tff(176,plain,
% 27.09/17.56 (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)),
% 27.09/17.56 inference(transitivity,[status(thm)],[175, 174])).
% 27.09/17.56 tff(177,plain,
% 27.09/17.56 (((~![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))))),
% 27.09/17.56 inference(rewrite,[status(thm)],[])).
% 27.09/17.56 tff(178,plain,
% 27.09/17.56 ((~![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))))),
% 27.09/17.56 inference(quant_inst,[status(thm)],[])).
% 27.09/17.56 tff(179,plain,
% 27.09/17.56 ((~![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)))),
% 27.09/17.56 inference(modus_ponens,[status(thm)],[178, 177])).
% 27.09/17.56 tff(180,plain,
% 27.09/17.56 (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))),
% 27.09/17.56 inference(unit_resolution,[status(thm)],[179, 115, 162])).
% 27.09/17.56 tff(181,plain,
% 27.09/17.56 (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)),
% 27.09/17.56 inference(symmetry,[status(thm)],[180])).
% 27.09/17.56 tff(182,plain,
% 27.09/17.56 (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))),
% 27.09/17.56 inference(monotonicity,[status(thm)],[112])).
% 27.09/17.56 tff(183,plain,
% 27.09/17.56 (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)),
% 27.09/17.56 inference(transitivity,[status(thm)],[182, 181])).
% 27.09/17.56 tff(184,plain,
% 27.09/17.56 (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))),
% 27.09/17.56 inference(monotonicity,[status(thm)],[183, 176, 169, 131, 114])).
% 27.09/17.56 tff(185,plain,
% 27.09/17.56 (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)))),
% 27.09/17.56 inference(symmetry,[status(thm)],[184])).
% 27.09/17.56 tff(186,plain,
% 27.09/17.56 (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))),
% 27.09/17.56 inference(monotonicity,[status(thm)],[112])).
% 27.09/17.56 tff(187,plain,
% 27.09/17.56 (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))),
% 27.09/17.56 inference(symmetry,[status(thm)],[186])).
% 27.09/17.56 tff(188,plain,
% 27.09/17.56 (^[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)))))))),
% 27.09/17.56 inference(bind,[status(th)],[])).
% 27.09/17.56 tff(189,plain,
% 27.09/17.56 (![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))))))),
% 27.09/17.56 inference(quant_intro,[status(thm)],[188])).
% 27.09/17.56 tff(190,plain,
% 27.09/17.56 (^[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))))))))),
% 27.09/17.56 inference(bind,[status(th)],[])).
% 27.09/17.56 tff(191,plain,
% 27.09/17.56 (![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))))))),
% 27.09/17.56 inference(quant_intro,[status(thm)],[190])).
% 27.09/17.56 tff(192,plain,
% 27.09/17.56 (![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))))),
% 27.09/17.56 inference(rewrite,[status(thm)],[])).
% 27.09/17.56 tff(193,plain,
% 27.09/17.56 (^[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))))))),
% 27.09/17.56 inference(bind,[status(th)],[])).
% 27.09/17.56 tff(194,plain,
% 27.09/17.56 (![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))))),
% 27.09/17.56 inference(quant_intro,[status(thm)],[193])).
% 27.09/17.56 tff(195,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/sandbox/benchmark/theBenchmark.p','dt_k11_cat_2')).
% 27.09/17.56 tff(196,plain,
% 27.09/17.56 (![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))))),
% 27.09/17.56 inference(modus_ponens,[status(thm)],[195, 194])).
% 27.09/17.56 tff(197,plain,
% 27.09/17.56 (![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))))),
% 27.09/17.56 inference(modus_ponens,[status(thm)],[196, 192])).
% 27.09/17.56 tff(198,plain,(
% 27.09/17.56 ![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))))),
% 27.09/17.56 inference(skolemize,[status(sab)],[197])).
% 27.09/17.56 tff(199,plain,
% 27.09/17.56 (![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))))))),
% 27.09/17.56 inference(modus_ponens,[status(thm)],[198, 191])).
% 27.09/17.56 tff(200,plain,
% 27.09/17.56 (![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))))))),
% 27.09/17.56 inference(modus_ponens,[status(thm)],[199, 189])).
% 27.09/17.56 tff(201,plain,
% 27.09/17.56 (((~![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))))))),
% 27.09/17.56 inference(rewrite,[status(thm)],[])).
% 27.09/17.56 tff(202,plain,
% 27.09/17.56 ((~![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))))))),
% 27.09/17.56 inference(quant_inst,[status(thm)],[])).
% 27.09/17.56 tff(203,plain,
% 27.09/17.56 ((~![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)))))),
% 27.09/17.56 inference(modus_ponens,[status(thm)],[202, 201])).
% 27.09/17.56 tff(204,plain,
% 27.09/17.56 (~((~v2_cat_1(k11_cat_2(B!1, C!2))) | (~l1_cat_1(k11_cat_2(B!1, C!2))))),
% 27.09/17.56 inference(unit_resolution,[status(thm)],[203, 64, 63, 70, 69, 200])).
% 27.09/17.56 tff(205,plain,
% 27.09/17.56 (((~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))),
% 27.09/17.56 inference(tautology,[status(thm)],[])).
% 27.09/17.56 tff(206,plain,
% 27.09/17.56 (l1_cat_1(k11_cat_2(B!1, C!2))),
% 27.09/17.56 inference(unit_resolution,[status(thm)],[205, 204])).
% 27.09/17.56 tff(207,plain,
% 27.09/17.56 (((~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))),
% 27.09/17.56 inference(tautology,[status(thm)],[])).
% 27.09/17.56 tff(208,plain,
% 27.09/17.56 (v2_cat_1(k11_cat_2(B!1, C!2))),
% 27.09/17.56 inference(unit_resolution,[status(thm)],[207, 204])).
% 27.09/17.56 tff(209,plain,
% 27.09/17.56 (^[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))))),
% 27.09/17.56 inference(bind,[status(th)],[])).
% 27.09/17.56 tff(210,plain,
% 27.09/17.56 (![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)))),
% 27.09/17.56 inference(quant_intro,[status(thm)],[209])).
% 27.09/17.56 tff(211,plain,
% 27.09/17.56 (^[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)))))),
% 27.09/17.56 inference(bind,[status(th)],[])).
% 27.09/17.56 tff(212,plain,
% 27.09/17.56 (![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)))),
% 27.09/17.56 inference(quant_intro,[status(thm)],[211])).
% 27.09/17.56 tff(213,plain,
% 27.09/17.56 (![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))),
% 27.09/17.56 inference(rewrite,[status(thm)],[])).
% 27.09/17.56 tff(214,plain,
% 27.09/17.56 (^[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))))),
% 27.09/17.56 inference(bind,[status(th)],[])).
% 27.09/17.56 tff(215,plain,
% 27.09/17.56 (![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))),
% 27.09/17.56 inference(quant_intro,[status(thm)],[214])).
% 27.09/17.56 tff(216,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/sandbox/benchmark/theBenchmark.p','dt_k8_nattra_1')).
% 27.09/17.56 tff(217,plain,
% 27.09/17.56 (![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))),
% 27.09/17.56 inference(modus_ponens,[status(thm)],[216, 215])).
% 27.09/17.56 tff(218,plain,
% 27.09/17.56 (![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))),
% 27.09/17.56 inference(modus_ponens,[status(thm)],[217, 213])).
% 27.09/17.56 tff(219,plain,(
% 27.09/17.56 ![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))),
% 27.09/17.56 inference(skolemize,[status(sab)],[218])).
% 27.09/17.56 tff(220,plain,
% 27.09/17.56 (![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)))),
% 27.09/17.56 inference(modus_ponens,[status(thm)],[219, 212])).
% 27.09/17.56 tff(221,plain,
% 27.09/17.56 (![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)))),
% 27.09/17.56 inference(modus_ponens,[status(thm)],[220, 210])).
% 27.09/17.56 tff(222,plain,
% 27.09/17.56 (((~![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))) | (~v2_cat_1(A!0)) | (~l1_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))) | (~v2_cat_1(A!0)) | (~l1_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))),
% 27.09/17.57 inference(rewrite,[status(thm)],[])).
% 27.09/17.57 tff(223,plain,
% 27.09/17.57 ((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))) | (~v2_cat_1(A!0)) | (~l1_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))),
% 27.09/17.57 inference(rewrite,[status(thm)],[])).
% 27.09/17.57 tff(224,plain,
% 27.09/17.57 (((~![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))) | (~v2_cat_1(A!0)) | (~l1_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)))),
% 27.09/17.57 inference(monotonicity,[status(thm)],[223])).
% 27.09/17.57 tff(225,plain,
% 27.09/17.57 (((~![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))) | (~v2_cat_1(A!0)) | (~l1_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))),
% 27.09/17.57 inference(transitivity,[status(thm)],[224, 222])).
% 27.09/17.57 tff(226,plain,
% 27.09/17.57 ((~![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)))),
% 27.09/17.57 inference(quant_inst,[status(thm)],[])).
% 27.09/17.57 tff(227,plain,
% 27.09/17.57 ((~![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))) | (~v2_cat_1(A!0)) | (~l1_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)),
% 27.09/17.57 inference(modus_ponens,[status(thm)],[226, 225])).
% 27.09/17.57 tff(228,plain,
% 27.09/17.57 (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)),
% 27.09/17.57 inference(unit_resolution,[status(thm)],[227, 58, 57, 115, 75, 124, 86, 80, 221, 208, 206])).
% 27.09/17.57 tff(229,plain,
% 27.09/17.57 (((~![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)))))),
% 27.09/17.57 inference(rewrite,[status(thm)],[])).
% 27.09/17.57 tff(230,plain,
% 27.09/17.57 ((~![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)))))),
% 27.09/17.57 inference(quant_inst,[status(thm)],[])).
% 27.09/17.57 tff(231,plain,
% 27.09/17.57 ((~![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))))),
% 27.09/17.57 inference(modus_ponens,[status(thm)],[230, 229])).
% 27.09/17.57 tff(232,plain,
% 27.09/17.57 (![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))))),
% 27.09/17.57 inference(unit_resolution,[status(thm)],[231, 80, 119])).
% 27.09/17.57 tff(233,plain,
% 27.09/17.57 (((~![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))))),
% 27.09/17.57 inference(rewrite,[status(thm)],[])).
% 27.09/17.57 tff(234,plain,
% 27.09/17.57 ((~![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))))),
% 27.09/17.57 inference(quant_inst,[status(thm)],[])).
% 27.09/17.57 tff(235,plain,
% 27.09/17.57 ((~![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)))),
% 27.12/17.57 inference(modus_ponens,[status(thm)],[234, 233])).
% 27.12/17.57 tff(236,plain,
% 27.12/17.57 (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))),
% 27.12/17.57 inference(unit_resolution,[status(thm)],[235, 232, 228])).
% 27.12/17.57 tff(237,plain,
% 27.12/17.57 (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))),
% 27.12/17.57 inference(transitivity,[status(thm)],[236, 187])).
% 27.12/17.57 tff(238,plain,
% 27.12/17.57 (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))))),
% 27.12/17.57 inference(monotonicity,[status(thm)],[237, 185])).
% 27.12/17.57 tff(239,plain,
% 27.12/17.57 (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)))),
% 27.12/17.57 inference(symmetry,[status(thm)],[238])).
% 27.12/17.57 tff(240,plain,
% 27.12/17.57 (^[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))))))))))))),
% 27.12/17.57 inference(bind,[status(th)],[])).
% 27.12/17.57 tff(241,plain,
% 27.12/17.57 (![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)))))))))))),
% 27.12/17.57 inference(quant_intro,[status(thm)],[240])).
% 27.12/17.57 tff(242,plain,
% 27.12/17.57 (^[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))))))))))))),
% 27.12/17.57 inference(bind,[status(th)],[])).
% 27.12/17.57 tff(243,plain,
% 27.12/17.57 (![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)))))))))))),
% 27.12/17.57 inference(quant_intro,[status(thm)],[242])).
% 27.12/17.57 tff(244,plain,
% 27.12/17.57 (![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)))))))))))),
% 27.12/17.57 inference(transitivity,[status(thm)],[243, 241])).
% 27.12/17.57 tff(245,plain,
% 27.12/17.57 (^[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)))))))))))))),
% 27.12/17.58 inference(bind,[status(th)],[])).
% 27.12/17.58 tff(246,plain,
% 27.12/17.58 (![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)))))))))))),
% 27.12/17.58 inference(quant_intro,[status(thm)],[245])).
% 27.12/17.58 tff(247,plain,
% 27.12/17.58 (![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)))))))))))),
% 27.12/17.58 inference(rewrite,[status(thm)],[])).
% 27.12/17.58 tff(248,plain,
% 27.12/17.58 (^[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)))))))))))))),
% 27.12/17.58 inference(bind,[status(th)],[])).
% 27.12/17.58 tff(249,plain,
% 27.12/17.58 (![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)))))))))))),
% 27.12/17.58 inference(quant_intro,[status(thm)],[248])).
% 27.12/17.58 tff(250,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/sandbox/benchmark/theBenchmark.p','t32_isocat_1')).
% 27.12/17.58 tff(251,plain,
% 27.12/17.58 (![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)))))))))))),
% 27.12/17.58 inference(modus_ponens,[status(thm)],[250, 249])).
% 27.12/17.58 tff(252,plain,
% 27.12/17.58 (![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)))))))))))),
% 27.12/17.58 inference(modus_ponens,[status(thm)],[251, 247])).
% 27.12/17.58 tff(253,plain,(
% 27.12/17.58 ![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)))))))))))),
% 27.12/17.58 inference(skolemize,[status(sab)],[252])).
% 27.12/17.58 tff(254,plain,
% 27.12/17.58 (![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)))))))))))),
% 27.12/17.58 inference(modus_ponens,[status(thm)],[253, 246])).
% 27.12/17.58 tff(255,plain,
% 27.12/17.58 (![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)))))))))))),
% 27.12/17.58 inference(modus_ponens,[status(thm)],[254, 244])).
% 27.12/17.58 tff(256,plain,
% 27.12/17.58 (((~![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))))))))))))),
% 27.12/17.58 inference(rewrite,[status(thm)],[])).
% 27.12/17.58 tff(257,plain,
% 27.12/17.58 (((~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))))))))))))),
% 27.12/17.59 inference(rewrite,[status(thm)],[])).
% 27.12/17.59 tff(258,plain,
% 27.12/17.59 (((~![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)))))))))))))),
% 27.12/17.59 inference(monotonicity,[status(thm)],[257])).
% 27.12/17.59 tff(259,plain,
% 27.12/17.59 (((~![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))))))))))))),
% 27.12/17.59 inference(transitivity,[status(thm)],[258, 256])).
% 27.12/17.59 tff(260,plain,
% 27.12/17.59 ((~![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)))))))))))),
% 27.12/17.59 inference(quant_inst,[status(thm)],[])).
% 27.12/17.59 tff(261,plain,
% 27.12/17.59 ((~![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)))))))))))),
% 27.12/17.59 inference(modus_ponens,[status(thm)],[260, 259])).
% 27.12/17.59 tff(262,plain,
% 27.12/17.59 (![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)))))))))))),
% 27.12/17.59 inference(unit_resolution,[status(thm)],[261, 64, 63, 255])).
% 27.12/17.59 tff(263,plain,
% 27.12/17.59 (((~![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)))))))))))),
% 27.12/17.59 inference(rewrite,[status(thm)],[])).
% 27.12/17.59 tff(264,plain,
% 27.12/17.59 ((~![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)))))))))))),
% 27.12/17.59 inference(quant_inst,[status(thm)],[])).
% 27.12/17.59 tff(265,plain,
% 27.12/17.59 ((~![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))))))))))),
% 27.12/17.59 inference(modus_ponens,[status(thm)],[264, 263])).
% 27.12/17.59 tff(266,plain,
% 27.12/17.59 (![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))))))))))),
% 27.12/17.59 inference(unit_resolution,[status(thm)],[265, 58, 57, 262])).
% 27.12/17.59 tff(267,plain,
% 27.12/17.59 (((~![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), E, F)) | (~r2_nattra_1(A!0, k11_cat_2(B!1, C!2), D, 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, 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), E, F)) | (~r2_nattra_1(A!0, k11_cat_2(B!1, C!2), D, 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, 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))))))))))),
% 27.12/17.59 inference(rewrite,[status(thm)],[])).
% 27.12/17.59 tff(268,plain,
% 27.12/17.59 (((~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)))))))))) <=> ((~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), E, F)) | (~r2_nattra_1(A!0, k11_cat_2(B!1, C!2), D, 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, 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))))))))))),
% 27.12/17.59 inference(rewrite,[status(thm)],[])).
% 27.12/17.59 tff(269,plain,
% 27.12/17.59 (((~![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), E, F)) | (~r2_nattra_1(A!0, k11_cat_2(B!1, C!2), D, 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, 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)))))))))))),
% 27.12/17.59 inference(monotonicity,[status(thm)],[268])).
% 27.12/17.59 tff(270,plain,
% 27.12/17.59 (((~![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), E, F)) | (~r2_nattra_1(A!0, k11_cat_2(B!1, C!2), D, 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, 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))))))))))),
% 27.12/17.60 inference(transitivity,[status(thm)],[269, 267])).
% 27.12/17.60 tff(271,plain,
% 27.12/17.60 ((~![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))))))))))),
% 27.12/17.60 inference(quant_inst,[status(thm)],[])).
% 27.12/17.60 tff(272,plain,
% 27.12/17.60 ((~![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), E, F)) | (~r2_nattra_1(A!0, k11_cat_2(B!1, C!2), D, 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, 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)))))))))),
% 27.12/17.60 inference(modus_ponens,[status(thm)],[271, 270])).
% 27.12/17.60 tff(273,plain,
% 27.12/17.60 (![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), E, F)) | (~r2_nattra_1(A!0, k11_cat_2(B!1, C!2), D, 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, 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)))))))))),
% 27.12/17.60 inference(unit_resolution,[status(thm)],[272, 208, 206, 266])).
% 27.12/17.60 tff(274,plain,
% 27.12/17.60 (((~![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), E, F)) | (~r2_nattra_1(A!0, k11_cat_2(B!1, C!2), D, 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, 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), E, F)) | (~r2_nattra_1(A!0, k11_cat_2(B!1, C!2), D, 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, 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)))))))))),
% 27.12/17.60 inference(rewrite,[status(thm)],[])).
% 27.12/17.60 tff(275,plain,
% 27.12/17.60 ((~![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), E, F)) | (~r2_nattra_1(A!0, k11_cat_2(B!1, C!2), D, 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, 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)))))))))),
% 27.12/17.60 inference(quant_inst,[status(thm)],[])).
% 27.12/17.60 tff(276,plain,
% 27.12/17.60 ((~![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), E, F)) | (~r2_nattra_1(A!0, k11_cat_2(B!1, C!2), D, 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, 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))))))))),
% 27.12/17.60 inference(modus_ponens,[status(thm)],[275, 274])).
% 27.12/17.60 tff(277,plain,
% 27.12/17.60 (![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))))))))),
% 27.12/17.60 inference(unit_resolution,[status(thm)],[276, 115, 273])).
% 27.12/17.60 tff(278,plain,
% 27.12/17.60 (((~![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))))))))),
% 27.12/17.61 inference(rewrite,[status(thm)],[])).
% 27.12/17.61 tff(279,plain,
% 27.12/17.61 ((~![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))))))))),
% 27.12/17.61 inference(quant_inst,[status(thm)],[])).
% 27.12/17.61 tff(280,plain,
% 27.12/17.61 ((~![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)))))))),
% 27.12/17.61 inference(modus_ponens,[status(thm)],[279, 278])).
% 27.12/17.61 tff(281,plain,
% 27.12/17.61 (![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)))))))),
% 27.12/17.61 inference(unit_resolution,[status(thm)],[280, 75, 277])).
% 27.12/17.61 tff(282,plain,
% 27.12/17.61 (((~![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)))))))),
% 27.12/17.61 inference(rewrite,[status(thm)],[])).
% 27.12/17.61 tff(283,plain,
% 27.12/17.61 (((~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)))))))),
% 27.12/17.61 inference(rewrite,[status(thm)],[])).
% 27.12/17.61 tff(284,plain,
% 27.12/17.61 (((~![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))))))))),
% 27.12/17.61 inference(monotonicity,[status(thm)],[283])).
% 27.12/17.61 tff(285,plain,
% 27.12/17.61 (((~![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)))))))),
% 27.12/17.62 inference(transitivity,[status(thm)],[284, 282])).
% 27.12/17.62 tff(286,plain,
% 27.12/17.62 ((~![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)))))))),
% 27.12/17.62 inference(quant_inst,[status(thm)],[])).
% 27.12/17.62 tff(287,plain,
% 27.12/17.62 ((~![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))))))),
% 27.12/17.62 inference(modus_ponens,[status(thm)],[286, 285])).
% 27.12/17.62 tff(288,plain,
% 27.12/17.62 (![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))))))),
% 27.12/17.62 inference(unit_resolution,[status(thm)],[287, 80, 281])).
% 27.12/17.62 tff(289,plain,
% 27.12/17.62 (^[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))))),
% 27.12/17.62 inference(bind,[status(th)],[])).
% 27.12/17.62 tff(290,plain,
% 27.12/17.62 (![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)))),
% 27.12/17.62 inference(quant_intro,[status(thm)],[289])).
% 27.12/17.62 tff(291,plain,
% 27.12/17.62 (^[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)))))),
% 27.12/17.62 inference(bind,[status(th)],[])).
% 27.12/17.62 tff(292,plain,
% 27.12/17.62 (![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)))),
% 27.12/17.62 inference(quant_intro,[status(thm)],[291])).
% 27.12/17.62 tff(293,plain,
% 27.12/17.62 (![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))),
% 27.12/17.62 inference(rewrite,[status(thm)],[])).
% 27.12/17.62 tff(294,plain,
% 27.12/17.62 (^[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))))),
% 27.12/17.62 inference(bind,[status(th)],[])).
% 27.12/17.62 tff(295,plain,
% 27.12/17.62 (![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))),
% 27.12/17.62 inference(quant_intro,[status(thm)],[294])).
% 27.12/17.62 tff(296,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/sandbox/benchmark/theBenchmark.p','dt_k16_cat_2')).
% 27.12/17.62 tff(297,plain,
% 27.12/17.62 (![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))),
% 27.12/17.62 inference(modus_ponens,[status(thm)],[296, 295])).
% 27.12/17.62 tff(298,plain,
% 27.12/17.62 (![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))),
% 27.12/17.62 inference(modus_ponens,[status(thm)],[297, 293])).
% 27.12/17.62 tff(299,plain,(
% 27.12/17.62 ![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))),
% 27.12/17.62 inference(skolemize,[status(sab)],[298])).
% 27.12/17.62 tff(300,plain,
% 27.12/17.62 (![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)))),
% 27.12/17.62 inference(modus_ponens,[status(thm)],[299, 292])).
% 27.12/17.62 tff(301,plain,
% 27.12/17.62 (![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)))),
% 27.12/17.62 inference(modus_ponens,[status(thm)],[300, 290])).
% 27.12/17.62 tff(302,plain,
% 27.12/17.62 (((~![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))),
% 27.12/17.62 inference(rewrite,[status(thm)],[])).
% 27.12/17.62 tff(303,plain,
% 27.12/17.62 ((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))),
% 27.12/17.62 inference(rewrite,[status(thm)],[])).
% 27.12/17.62 tff(304,plain,
% 27.12/17.62 (((~![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)))),
% 27.12/17.62 inference(monotonicity,[status(thm)],[303])).
% 27.12/17.62 tff(305,plain,
% 27.12/17.62 (((~![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))),
% 27.12/17.62 inference(transitivity,[status(thm)],[304, 302])).
% 27.12/17.62 tff(306,plain,
% 27.12/17.62 ((~![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)))),
% 27.12/17.62 inference(quant_inst,[status(thm)],[])).
% 27.12/17.62 tff(307,plain,
% 27.12/17.62 ((~![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)),
% 27.12/17.62 inference(modus_ponens,[status(thm)],[306, 305])).
% 27.12/17.62 tff(308,plain,
% 27.12/17.62 (m2_cat_1(k16_cat_2(B!1, C!2), k11_cat_2(B!1, C!2), B!1)),
% 27.12/17.62 inference(unit_resolution,[status(thm)],[307, 64, 63, 70, 69, 301])).
% 27.12/17.62 tff(309,plain,
% 27.12/17.62 (((~![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)))))))),
% 27.12/17.62 inference(rewrite,[status(thm)],[])).
% 27.12/17.62 tff(310,plain,
% 27.12/17.62 ((~![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)))))))),
% 27.12/17.62 inference(quant_inst,[status(thm)],[])).
% 27.12/17.62 tff(311,plain,
% 27.12/17.62 ((~![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))))))),
% 27.12/17.63 inference(modus_ponens,[status(thm)],[310, 309])).
% 27.12/17.63 tff(312,plain,
% 27.12/17.63 (![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))))))),
% 27.12/17.63 inference(unit_resolution,[status(thm)],[311, 308, 288])).
% 27.12/17.63 tff(313,plain,
% 27.12/17.63 (((~![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))))))),
% 27.12/17.63 inference(rewrite,[status(thm)],[])).
% 27.12/17.63 tff(314,plain,
% 27.12/17.63 ((~![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))))))),
% 27.12/17.63 inference(quant_inst,[status(thm)],[])).
% 27.12/17.63 tff(315,plain,
% 27.12/17.63 ((~![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)))))),
% 27.18/17.63 inference(modus_ponens,[status(thm)],[314, 313])).
% 27.18/17.63 tff(316,plain,
% 27.18/17.63 (![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)))))),
% 27.18/17.63 inference(unit_resolution,[status(thm)],[315, 124, 312])).
% 27.18/17.63 tff(317,plain,
% 27.18/17.63 (r2_nattra_1(A!0, k11_cat_2(B!1, C!2), E!4, F!5)),
% 27.18/17.63 inference(and_elim,[status(thm)],[56])).
% 27.18/17.63 tff(318,plain,
% 27.18/17.63 (r2_nattra_1(A!0, k11_cat_2(B!1, C!2), D!3, E!4)),
% 27.18/17.63 inference(and_elim,[status(thm)],[56])).
% 27.18/17.63 tff(319,plain,
% 27.18/17.63 (((~![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)))))),
% 27.18/17.63 inference(rewrite,[status(thm)],[])).
% 27.18/17.63 tff(320,plain,
% 27.18/17.63 ((~![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)))))),
% 27.18/17.63 inference(quant_inst,[status(thm)],[])).
% 27.18/17.63 tff(321,plain,
% 27.18/17.63 ((~![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))))),
% 27.18/17.64 inference(modus_ponens,[status(thm)],[320, 319])).
% 27.18/17.64 tff(322,plain,
% 27.18/17.64 (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))))),
% 27.18/17.64 inference(unit_resolution,[status(thm)],[321, 86, 318, 317, 316])).
% 27.18/17.64 tff(323,plain,
% 27.18/17.64 (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)))),
% 27.18/17.64 inference(modus_ponens,[status(thm)],[322, 239])).
% 27.18/17.64 tff(324,plain,
% 27.18/17.64 (^[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))))))))))),
% 27.18/17.64 inference(bind,[status(th)],[])).
% 27.18/17.64 tff(325,plain,
% 27.18/17.64 (![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)))))))))),
% 27.18/17.64 inference(quant_intro,[status(thm)],[324])).
% 27.18/17.64 tff(326,plain,
% 27.18/17.64 (^[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))))))),
% 27.18/17.64 inference(bind,[status(th)],[])).
% 27.18/17.64 tff(327,plain,
% 27.18/17.64 (![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)))))),
% 27.18/17.64 inference(quant_intro,[status(thm)],[326])).
% 27.18/17.64 tff(328,plain,
% 27.18/17.64 (^[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))))))),
% 27.18/17.64 inference(bind,[status(th)],[])).
% 27.18/17.64 tff(329,plain,
% 27.18/17.64 (![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)))))),
% 27.18/17.64 inference(quant_intro,[status(thm)],[328])).
% 27.18/17.64 tff(330,plain,
% 27.18/17.64 (![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)))))),
% 27.18/17.64 inference(transitivity,[status(thm)],[329, 327])).
% 27.18/17.64 tff(331,plain,
% 27.18/17.64 (^[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)))))))),
% 27.18/17.64 inference(bind,[status(th)],[])).
% 27.18/17.64 tff(332,plain,
% 27.18/17.64 (![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)))))),
% 27.18/17.64 inference(quant_intro,[status(thm)],[331])).
% 27.18/17.64 tff(333,plain,
% 27.18/17.64 (![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)))))))))),
% 27.18/17.64 inference(rewrite,[status(thm)],[])).
% 27.18/17.64 tff(334,plain,
% 27.18/17.64 (^[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)))))))))))),
% 27.18/17.64 inference(bind,[status(th)],[])).
% 27.18/17.64 tff(335,plain,
% 27.18/17.64 (![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)))))))))),
% 27.18/17.64 inference(quant_intro,[status(thm)],[334])).
% 27.18/17.64 tff(336,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/sandbox/benchmark/theBenchmark.p','d10_isocat_2')).
% 27.18/17.64 tff(337,plain,
% 27.18/17.64 (![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)))))))))),
% 27.18/17.64 inference(modus_ponens,[status(thm)],[336, 335])).
% 27.18/17.64 tff(338,plain,
% 27.18/17.64 (![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)))))))))),
% 27.18/17.64 inference(modus_ponens,[status(thm)],[337, 333])).
% 27.18/17.64 tff(339,plain,(
% 27.18/17.64 ![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)))))))))),
% 27.18/17.64 inference(skolemize,[status(sab)],[338])).
% 27.18/17.64 tff(340,plain,
% 27.18/17.64 (![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)))))),
% 27.18/17.64 inference(modus_ponens,[status(thm)],[339, 332])).
% 27.18/17.64 tff(341,plain,
% 27.18/17.64 (![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)))))),
% 27.18/17.64 inference(modus_ponens,[status(thm)],[340, 330])).
% 27.18/17.64 tff(342,plain,
% 27.18/17.64 (![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)))))))))),
% 27.18/17.64 inference(modus_ponens,[status(thm)],[341, 325])).
% 27.18/17.64 tff(343,plain,
% 27.18/17.64 (((~![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)))))))))),
% 27.18/17.64 inference(rewrite,[status(thm)],[])).
% 27.18/17.64 tff(344,plain,
% 27.18/17.64 ((~![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)))))))))),
% 27.18/17.64 inference(quant_inst,[status(thm)],[])).
% 27.18/17.64 tff(345,plain,
% 27.18/17.64 ((~![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))))))))),
% 27.18/17.64 inference(modus_ponens,[status(thm)],[344, 343])).
% 27.18/17.64 tff(346,plain,
% 27.18/17.64 (![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))))))))),
% 27.18/17.64 inference(unit_resolution,[status(thm)],[345, 58, 57, 342])).
% 27.18/17.64 tff(347,plain,
% 27.18/17.64 (((~![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))))))))),
% 27.18/17.64 inference(rewrite,[status(thm)],[])).
% 27.18/17.64 tff(348,plain,
% 27.18/17.64 ((~![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))))))))),
% 27.18/17.64 inference(quant_inst,[status(thm)],[])).
% 27.18/17.64 tff(349,plain,
% 27.18/17.64 ((~![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)))))))),
% 27.18/17.64 inference(modus_ponens,[status(thm)],[348, 347])).
% 27.18/17.64 tff(350,plain,
% 27.18/17.64 (![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)))))))),
% 27.18/17.64 inference(unit_resolution,[status(thm)],[349, 64, 63, 346])).
% 27.18/17.64 tff(351,plain,
% 27.18/17.64 (((~![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)))))))),
% 27.18/17.64 inference(rewrite,[status(thm)],[])).
% 27.18/17.64 tff(352,plain,
% 27.18/17.64 ((~![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)))))))),
% 27.18/17.64 inference(quant_inst,[status(thm)],[])).
% 27.18/17.64 tff(353,plain,
% 27.18/17.64 ((~![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))))))),
% 27.18/17.64 inference(modus_ponens,[status(thm)],[352, 351])).
% 27.18/17.64 tff(354,plain,
% 27.18/17.64 (![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))))))),
% 27.18/17.64 inference(unit_resolution,[status(thm)],[353, 70, 69, 350])).
% 27.18/17.64 tff(355,plain,
% 27.18/17.64 (((~![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))))))),
% 27.18/17.65 inference(rewrite,[status(thm)],[])).
% 27.18/17.65 tff(356,plain,
% 27.18/17.65 ((~![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))))))),
% 27.18/17.65 inference(quant_inst,[status(thm)],[])).
% 27.18/17.65 tff(357,plain,
% 27.18/17.65 ((~![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)))))),
% 27.18/17.65 inference(modus_ponens,[status(thm)],[356, 355])).
% 27.18/17.65 tff(358,plain,
% 27.18/17.65 (![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)))))),
% 27.18/17.65 inference(unit_resolution,[status(thm)],[357, 75, 354])).
% 27.18/17.65 tff(359,plain,
% 27.18/17.65 (((~![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)))))),
% 27.18/17.65 inference(rewrite,[status(thm)],[])).
% 27.18/17.65 tff(360,plain,
% 27.18/17.65 ((~![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)))))),
% 27.18/17.65 inference(quant_inst,[status(thm)],[])).
% 27.18/17.65 tff(361,plain,
% 27.18/17.65 ((~![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))))),
% 27.18/17.65 inference(modus_ponens,[status(thm)],[360, 359])).
% 27.18/17.65 tff(362,plain,
% 27.18/17.65 (![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))))),
% 27.18/17.65 inference(unit_resolution,[status(thm)],[361, 80, 358])).
% 27.18/17.65 tff(363,plain,
% 27.18/17.65 (((~![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))))),
% 27.18/17.65 inference(rewrite,[status(thm)],[])).
% 27.18/17.65 tff(364,plain,
% 27.18/17.65 ((~![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))))),
% 27.18/17.65 inference(quant_inst,[status(thm)],[])).
% 27.18/17.65 tff(365,plain,
% 27.18/17.65 ((~![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)))),
% 27.18/17.65 inference(modus_ponens,[status(thm)],[364, 363])).
% 27.18/17.65 tff(366,plain,
% 27.18/17.65 (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))),
% 27.18/17.65 inference(unit_resolution,[status(thm)],[365, 86, 362])).
% 27.18/17.65 tff(367,plain,
% 27.18/17.65 (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)),
% 27.18/17.65 inference(symmetry,[status(thm)],[366])).
% 27.18/17.65 tff(368,plain,
% 27.18/17.65 (^[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))))),
% 27.18/17.65 inference(bind,[status(th)],[])).
% 27.18/17.65 tff(369,plain,
% 27.18/17.65 (![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)))),
% 27.18/17.65 inference(quant_intro,[status(thm)],[368])).
% 27.18/17.65 tff(370,plain,
% 27.18/17.65 (^[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)))))),
% 27.18/17.65 inference(bind,[status(th)],[])).
% 27.18/17.65 tff(371,plain,
% 27.18/17.65 (![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)))),
% 27.18/17.65 inference(quant_intro,[status(thm)],[370])).
% 27.18/17.65 tff(372,plain,
% 27.18/17.65 (![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)))),
% 27.18/17.65 inference(rewrite,[status(thm)],[])).
% 27.18/17.65 tff(373,plain,
% 27.18/17.65 (^[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)))))),
% 27.18/17.65 inference(bind,[status(th)],[])).
% 27.18/17.65 tff(374,plain,
% 27.18/17.65 (![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)))),
% 27.18/17.65 inference(quant_intro,[status(thm)],[373])).
% 27.18/17.65 tff(375,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/sandbox/benchmark/theBenchmark.p','redefinition_k9_isocat_2')).
% 27.18/17.65 tff(376,plain,
% 27.18/17.65 (![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)))),
% 27.18/17.65 inference(modus_ponens,[status(thm)],[375, 374])).
% 27.18/17.65 tff(377,plain,
% 27.18/17.65 (![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)))),
% 27.18/17.65 inference(modus_ponens,[status(thm)],[376, 372])).
% 27.18/17.65 tff(378,plain,(
% 27.18/17.65 ![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)))),
% 27.18/17.65 inference(skolemize,[status(sab)],[377])).
% 27.18/17.65 tff(379,plain,
% 27.18/17.65 (![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)))),
% 27.18/17.65 inference(modus_ponens,[status(thm)],[378, 371])).
% 27.18/17.65 tff(380,plain,
% 27.18/17.65 (![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)))),
% 27.18/17.65 inference(modus_ponens,[status(thm)],[379, 369])).
% 27.18/17.65 tff(381,plain,
% 27.18/17.65 (((~![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)))),
% 27.18/17.65 inference(rewrite,[status(thm)],[])).
% 27.18/17.65 tff(382,plain,
% 27.18/17.65 (((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)))),
% 27.18/17.65 inference(rewrite,[status(thm)],[])).
% 27.18/17.65 tff(383,plain,
% 27.18/17.65 (((~![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))))),
% 27.18/17.65 inference(monotonicity,[status(thm)],[382])).
% 27.18/17.65 tff(384,plain,
% 27.18/17.65 (((~![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)))),
% 27.18/17.65 inference(transitivity,[status(thm)],[383, 381])).
% 27.18/17.65 tff(385,plain,
% 27.18/17.65 ((~![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)))),
% 27.18/17.65 inference(quant_inst,[status(thm)],[])).
% 27.18/17.65 tff(386,plain,
% 27.18/17.65 ((~![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))),
% 27.18/17.65 inference(modus_ponens,[status(thm)],[385, 384])).
% 27.18/17.65 tff(387,plain,
% 27.18/17.65 (k9_isocat_2(B!1, C!2) = k17_cat_2(B!1, C!2)),
% 27.18/17.65 inference(unit_resolution,[status(thm)],[386, 64, 63, 70, 69, 380])).
% 27.18/17.65 tff(388,plain,
% 27.18/17.65 (k17_cat_2(B!1, C!2) = k9_isocat_2(B!1, C!2)),
% 27.18/17.65 inference(symmetry,[status(thm)],[387])).
% 27.18/17.65 tff(389,plain,
% 27.18/17.65 (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))),
% 27.18/17.65 inference(monotonicity,[status(thm)],[388])).
% 27.18/17.65 tff(390,plain,
% 27.18/17.65 (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)),
% 27.18/17.65 inference(transitivity,[status(thm)],[389, 367])).
% 27.18/17.65 tff(391,plain,
% 27.18/17.65 (((~![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))))))),
% 27.18/17.65 inference(rewrite,[status(thm)],[])).
% 27.18/17.65 tff(392,plain,
% 27.18/17.65 ((~![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))))))),
% 27.18/17.65 inference(quant_inst,[status(thm)],[])).
% 27.18/17.65 tff(393,plain,
% 27.18/17.65 ((~![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)))))),
% 27.18/17.65 inference(modus_ponens,[status(thm)],[392, 391])).
% 27.18/17.65 tff(394,plain,
% 27.18/17.65 (![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)))))),
% 27.18/17.65 inference(unit_resolution,[status(thm)],[393, 115, 354])).
% 27.18/17.65 tff(395,plain,
% 27.18/17.65 (((~![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)))))),
% 27.18/17.65 inference(rewrite,[status(thm)],[])).
% 27.18/17.65 tff(396,plain,
% 27.18/17.65 ((~![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)))))),
% 27.18/17.65 inference(quant_inst,[status(thm)],[])).
% 27.18/17.65 tff(397,plain,
% 27.20/17.66 ((~![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))))),
% 27.20/17.66 inference(modus_ponens,[status(thm)],[396, 395])).
% 27.20/17.66 tff(398,plain,
% 27.20/17.66 (![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))))),
% 27.20/17.66 inference(unit_resolution,[status(thm)],[397, 75, 394])).
% 27.20/17.66 tff(399,plain,
% 27.20/17.66 (((~![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))))),
% 27.20/17.66 inference(rewrite,[status(thm)],[])).
% 27.20/17.66 tff(400,plain,
% 27.20/17.66 ((~![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))))),
% 27.20/17.66 inference(quant_inst,[status(thm)],[])).
% 27.20/17.66 tff(401,plain,
% 27.20/17.66 ((~![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)))),
% 27.20/17.66 inference(modus_ponens,[status(thm)],[400, 399])).
% 27.20/17.66 tff(402,plain,
% 27.20/17.66 (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))),
% 27.20/17.66 inference(unit_resolution,[status(thm)],[401, 124, 398])).
% 27.20/17.66 tff(403,plain,
% 27.20/17.66 (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)),
% 27.20/17.66 inference(symmetry,[status(thm)],[402])).
% 27.20/17.66 tff(404,plain,
% 27.20/17.66 (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))),
% 27.20/17.66 inference(monotonicity,[status(thm)],[388])).
% 27.20/17.66 tff(405,plain,
% 27.20/17.66 (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)),
% 27.20/17.66 inference(transitivity,[status(thm)],[404, 403])).
% 27.20/17.66 tff(406,plain,
% 27.20/17.66 (^[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))))))))),
% 27.20/17.66 inference(bind,[status(th)],[])).
% 27.20/17.66 tff(407,plain,
% 27.20/17.66 (![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)))))))),
% 27.20/17.66 inference(quant_intro,[status(thm)],[406])).
% 27.20/17.66 tff(408,plain,
% 27.20/17.66 (^[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))))))),
% 27.20/17.66 inference(bind,[status(th)],[])).
% 27.20/17.66 tff(409,plain,
% 27.20/17.66 (![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)))))),
% 27.20/17.66 inference(quant_intro,[status(thm)],[408])).
% 27.20/17.66 tff(410,plain,
% 27.20/17.66 (^[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))))))),
% 27.20/17.66 inference(bind,[status(th)],[])).
% 27.20/17.66 tff(411,plain,
% 27.20/17.66 (![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)))))),
% 27.20/17.66 inference(quant_intro,[status(thm)],[410])).
% 27.20/17.66 tff(412,plain,
% 27.20/17.66 (![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)))))),
% 27.20/17.66 inference(transitivity,[status(thm)],[411, 409])).
% 27.20/17.66 tff(413,plain,
% 27.20/17.66 (^[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)))))))),
% 27.20/17.66 inference(bind,[status(th)],[])).
% 27.20/17.66 tff(414,plain,
% 27.20/17.66 (![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)))))),
% 27.20/17.66 inference(quant_intro,[status(thm)],[413])).
% 27.20/17.66 tff(415,plain,
% 27.20/17.66 (![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)))))))),
% 27.20/17.66 inference(rewrite,[status(thm)],[])).
% 27.20/17.66 tff(416,plain,
% 27.20/17.66 (^[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)))))))))),
% 27.20/17.66 inference(bind,[status(th)],[])).
% 27.20/17.66 tff(417,plain,
% 27.20/17.66 (![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)))))))),
% 27.20/17.66 inference(quant_intro,[status(thm)],[416])).
% 27.20/17.66 tff(418,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/sandbox/benchmark/theBenchmark.p','d8_isocat_2')).
% 27.20/17.66 tff(419,plain,
% 27.20/17.66 (![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)))))))),
% 27.20/17.66 inference(modus_ponens,[status(thm)],[418, 417])).
% 27.20/17.66 tff(420,plain,
% 27.20/17.66 (![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)))))))),
% 27.20/17.66 inference(modus_ponens,[status(thm)],[419, 415])).
% 27.20/17.66 tff(421,plain,(
% 27.20/17.66 ![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)))))))),
% 27.20/17.66 inference(skolemize,[status(sab)],[420])).
% 27.20/17.66 tff(422,plain,
% 27.20/17.66 (![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)))))),
% 27.20/17.66 inference(modus_ponens,[status(thm)],[421, 414])).
% 27.20/17.66 tff(423,plain,
% 27.20/17.66 (![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)))))),
% 27.20/17.66 inference(modus_ponens,[status(thm)],[422, 412])).
% 27.20/17.66 tff(424,plain,
% 27.20/17.66 (![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)))))))),
% 27.20/17.66 inference(modus_ponens,[status(thm)],[423, 407])).
% 27.20/17.66 tff(425,plain,
% 27.20/17.66 (((~![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)))))))),
% 27.20/17.66 inference(rewrite,[status(thm)],[])).
% 27.20/17.66 tff(426,plain,
% 27.20/17.66 ((~![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)))))))),
% 27.20/17.66 inference(quant_inst,[status(thm)],[])).
% 27.20/17.66 tff(427,plain,
% 27.20/17.66 ((~![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))))))),
% 27.20/17.66 inference(modus_ponens,[status(thm)],[426, 425])).
% 27.20/17.66 tff(428,plain,
% 27.20/17.66 (![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))))))),
% 27.20/17.66 inference(unit_resolution,[status(thm)],[427, 58, 57, 424])).
% 27.20/17.66 tff(429,plain,
% 27.20/17.66 (((~![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))))))),
% 27.20/17.66 inference(rewrite,[status(thm)],[])).
% 27.20/17.66 tff(430,plain,
% 27.20/17.66 ((~![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))))))),
% 27.20/17.66 inference(quant_inst,[status(thm)],[])).
% 27.20/17.66 tff(431,plain,
% 27.20/17.66 ((~![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)))))),
% 27.20/17.66 inference(modus_ponens,[status(thm)],[430, 429])).
% 27.20/17.66 tff(432,plain,
% 27.20/17.66 (![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)))))),
% 27.20/17.66 inference(unit_resolution,[status(thm)],[431, 64, 63, 428])).
% 27.20/17.66 tff(433,plain,
% 27.20/17.66 (((~![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)))))),
% 27.20/17.66 inference(rewrite,[status(thm)],[])).
% 27.20/17.66 tff(434,plain,
% 27.20/17.66 ((~![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)))))),
% 27.20/17.66 inference(quant_inst,[status(thm)],[])).
% 27.20/17.66 tff(435,plain,
% 27.20/17.66 ((~![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))))),
% 27.20/17.66 inference(modus_ponens,[status(thm)],[434, 433])).
% 27.20/17.66 tff(436,plain,
% 27.20/17.66 (![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))))),
% 27.20/17.66 inference(unit_resolution,[status(thm)],[435, 70, 69, 432])).
% 27.20/17.66 tff(437,plain,
% 27.20/17.66 (((~![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))))),
% 27.20/17.66 inference(rewrite,[status(thm)],[])).
% 27.20/17.66 tff(438,plain,
% 27.20/17.66 ((~![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))))),
% 27.20/17.66 inference(quant_inst,[status(thm)],[])).
% 27.20/17.66 tff(439,plain,
% 27.20/17.66 ((~![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)))),
% 27.20/17.66 inference(modus_ponens,[status(thm)],[438, 437])).
% 27.20/17.66 tff(440,plain,
% 27.20/17.66 (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))),
% 27.20/17.66 inference(unit_resolution,[status(thm)],[439, 80, 436])).
% 27.20/17.66 tff(441,plain,
% 27.20/17.66 (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)),
% 27.20/17.66 inference(symmetry,[status(thm)],[440])).
% 27.20/17.66 tff(442,plain,
% 27.20/17.66 (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))),
% 27.20/17.66 inference(monotonicity,[status(thm)],[388])).
% 27.20/17.66 tff(443,plain,
% 27.20/17.66 (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)),
% 27.20/17.66 inference(transitivity,[status(thm)],[442, 441])).
% 27.20/17.66 tff(444,plain,
% 27.20/17.66 (((~![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))))),
% 27.20/17.66 inference(rewrite,[status(thm)],[])).
% 27.20/17.66 tff(445,plain,
% 27.20/17.66 ((~![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))))),
% 27.20/17.66 inference(quant_inst,[status(thm)],[])).
% 27.20/17.66 tff(446,plain,
% 27.20/17.66 ((~![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)))),
% 27.20/17.66 inference(modus_ponens,[status(thm)],[445, 444])).
% 27.20/17.66 tff(447,plain,
% 27.20/17.66 (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))),
% 27.20/17.66 inference(unit_resolution,[status(thm)],[446, 75, 436])).
% 27.20/17.66 tff(448,plain,
% 27.20/17.66 (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)),
% 27.20/17.66 inference(symmetry,[status(thm)],[447])).
% 27.20/17.66 tff(449,plain,
% 27.20/17.66 (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))),
% 27.20/17.66 inference(monotonicity,[status(thm)],[388])).
% 27.20/17.66 tff(450,plain,
% 27.20/17.66 (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)),
% 27.20/17.66 inference(transitivity,[status(thm)],[449, 448])).
% 27.20/17.66 tff(451,plain,
% 27.20/17.66 (((~![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))))),
% 27.20/17.67 inference(rewrite,[status(thm)],[])).
% 27.20/17.67 tff(452,plain,
% 27.20/17.67 ((~![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))))),
% 27.20/17.67 inference(quant_inst,[status(thm)],[])).
% 27.20/17.67 tff(453,plain,
% 27.20/17.67 ((~![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)))),
% 27.20/17.67 inference(modus_ponens,[status(thm)],[452, 451])).
% 27.20/17.67 tff(454,plain,
% 27.20/17.67 (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))),
% 27.20/17.67 inference(unit_resolution,[status(thm)],[453, 115, 436])).
% 27.20/17.67 tff(455,plain,
% 27.20/17.67 (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)),
% 27.20/17.67 inference(symmetry,[status(thm)],[454])).
% 27.20/17.67 tff(456,plain,
% 27.20/17.67 (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))),
% 27.20/17.67 inference(monotonicity,[status(thm)],[388])).
% 27.20/17.67 tff(457,plain,
% 27.20/17.67 (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)),
% 27.20/17.67 inference(transitivity,[status(thm)],[456, 455])).
% 27.20/17.67 tff(458,plain,
% 27.20/17.67 (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))),
% 27.20/17.67 inference(monotonicity,[status(thm)],[457, 450, 443, 405, 390])).
% 27.20/17.67 tff(459,plain,
% 27.20/17.67 (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)))),
% 27.20/17.67 inference(symmetry,[status(thm)],[458])).
% 27.20/17.67 tff(460,plain,
% 27.20/17.67 (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))),
% 27.20/17.67 inference(monotonicity,[status(thm)],[388])).
% 27.20/17.67 tff(461,plain,
% 27.20/17.67 (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))),
% 27.20/17.67 inference(symmetry,[status(thm)],[460])).
% 27.20/17.67 tff(462,plain,
% 27.20/17.67 (((~![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)))))),
% 27.20/17.67 inference(rewrite,[status(thm)],[])).
% 27.20/17.67 tff(463,plain,
% 27.20/17.67 ((~![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)))))),
% 27.20/17.67 inference(quant_inst,[status(thm)],[])).
% 27.20/17.67 tff(464,plain,
% 27.20/17.67 ((~![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))))),
% 27.20/17.67 inference(modus_ponens,[status(thm)],[463, 462])).
% 27.20/17.67 tff(465,plain,
% 27.20/17.67 (![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))))),
% 27.20/17.67 inference(unit_resolution,[status(thm)],[464, 80, 394])).
% 27.20/17.67 tff(466,plain,
% 27.20/17.67 (((~![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))))),
% 27.20/17.67 inference(rewrite,[status(thm)],[])).
% 27.20/17.67 tff(467,plain,
% 27.20/17.67 ((~![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))))),
% 27.20/17.67 inference(quant_inst,[status(thm)],[])).
% 27.20/17.67 tff(468,plain,
% 27.20/17.67 ((~![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)))),
% 27.20/17.67 inference(modus_ponens,[status(thm)],[467, 466])).
% 27.20/17.67 tff(469,plain,
% 27.20/17.67 (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))),
% 27.20/17.67 inference(unit_resolution,[status(thm)],[468, 465, 228])).
% 27.20/17.67 tff(470,plain,
% 27.20/17.67 (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))),
% 27.20/17.67 inference(transitivity,[status(thm)],[469, 461])).
% 27.20/17.67 tff(471,plain,
% 27.20/17.67 (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))))),
% 27.20/17.67 inference(monotonicity,[status(thm)],[470, 459])).
% 27.20/17.67 tff(472,plain,
% 27.20/17.67 (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)))),
% 27.20/17.67 inference(symmetry,[status(thm)],[471])).
% 27.20/17.67 tff(473,plain,
% 27.20/17.67 (((~![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))))))))))))),
% 27.20/17.67 inference(rewrite,[status(thm)],[])).
% 27.20/17.67 tff(474,plain,
% 27.20/17.67 (((~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))))))))))))),
% 27.20/17.67 inference(rewrite,[status(thm)],[])).
% 27.20/17.67 tff(475,plain,
% 27.20/17.67 (((~![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)))))))))))))),
% 27.20/17.67 inference(monotonicity,[status(thm)],[474])).
% 27.20/17.67 tff(476,plain,
% 27.20/17.67 (((~![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))))))))))))),
% 27.20/17.68 inference(transitivity,[status(thm)],[475, 473])).
% 27.20/17.68 tff(477,plain,
% 27.20/17.68 ((~![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)))))))))))),
% 27.20/17.68 inference(quant_inst,[status(thm)],[])).
% 27.20/17.68 tff(478,plain,
% 27.20/17.68 ((~![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)))))))))))),
% 27.20/17.68 inference(modus_ponens,[status(thm)],[477, 476])).
% 27.20/17.68 tff(479,plain,
% 27.20/17.68 (![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)))))))))))),
% 27.20/17.68 inference(unit_resolution,[status(thm)],[478, 70, 69, 255])).
% 27.20/17.68 tff(480,plain,
% 27.20/17.68 (((~![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)))))))))))),
% 27.20/17.68 inference(rewrite,[status(thm)],[])).
% 27.20/17.68 tff(481,plain,
% 27.20/17.68 ((~![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)))))))))))),
% 27.20/17.68 inference(quant_inst,[status(thm)],[])).
% 27.20/17.68 tff(482,plain,
% 27.20/17.68 ((~![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))))))))))),
% 27.20/17.68 inference(modus_ponens,[status(thm)],[481, 480])).
% 27.20/17.68 tff(483,plain,
% 27.20/17.68 (![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))))))))))),
% 27.20/17.68 inference(unit_resolution,[status(thm)],[482, 58, 57, 479])).
% 27.20/17.68 tff(484,plain,
% 27.20/17.68 (((~![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), E, F)) | (~r2_nattra_1(A!0, k11_cat_2(B!1, C!2), D, 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, 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), E, F)) | (~r2_nattra_1(A!0, k11_cat_2(B!1, C!2), D, 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, 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))))))))))),
% 27.20/17.68 inference(rewrite,[status(thm)],[])).
% 27.20/17.68 tff(485,plain,
% 27.20/17.68 (((~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)))))))))) <=> ((~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), E, F)) | (~r2_nattra_1(A!0, k11_cat_2(B!1, C!2), D, 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, 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))))))))))),
% 27.20/17.68 inference(rewrite,[status(thm)],[])).
% 27.20/17.68 tff(486,plain,
% 27.20/17.68 (((~![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), E, F)) | (~r2_nattra_1(A!0, k11_cat_2(B!1, C!2), D, 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, 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)))))))))))),
% 27.20/17.68 inference(monotonicity,[status(thm)],[485])).
% 27.20/17.68 tff(487,plain,
% 27.20/17.68 (((~![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), E, F)) | (~r2_nattra_1(A!0, k11_cat_2(B!1, C!2), D, 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, 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))))))))))),
% 27.20/17.68 inference(transitivity,[status(thm)],[486, 484])).
% 27.20/17.68 tff(488,plain,
% 27.20/17.68 ((~![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))))))))))),
% 27.20/17.69 inference(quant_inst,[status(thm)],[])).
% 27.20/17.69 tff(489,plain,
% 27.20/17.69 ((~![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), E, F)) | (~r2_nattra_1(A!0, k11_cat_2(B!1, C!2), D, 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, 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)))))))))),
% 27.20/17.69 inference(modus_ponens,[status(thm)],[488, 487])).
% 27.20/17.69 tff(490,plain,
% 27.20/17.69 (![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), E, F)) | (~r2_nattra_1(A!0, k11_cat_2(B!1, C!2), D, 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, 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)))))))))),
% 27.20/17.69 inference(unit_resolution,[status(thm)],[489, 208, 206, 483])).
% 27.20/17.69 tff(491,plain,
% 27.20/17.69 (((~![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), E, F)) | (~r2_nattra_1(A!0, k11_cat_2(B!1, C!2), D, 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, 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), E, F)) | (~r2_nattra_1(A!0, k11_cat_2(B!1, C!2), D, 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, 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)))))))))),
% 27.20/17.69 inference(rewrite,[status(thm)],[])).
% 27.20/17.69 tff(492,plain,
% 27.20/17.69 ((~![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), E, F)) | (~r2_nattra_1(A!0, k11_cat_2(B!1, C!2), D, 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, 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)))))))))),
% 27.20/17.69 inference(quant_inst,[status(thm)],[])).
% 27.20/17.69 tff(493,plain,
% 27.20/17.69 ((~![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), E, F)) | (~r2_nattra_1(A!0, k11_cat_2(B!1, C!2), D, 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, 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))))))))),
% 27.20/17.69 inference(modus_ponens,[status(thm)],[492, 491])).
% 27.20/17.69 tff(494,plain,
% 27.20/17.69 (![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))))))))),
% 27.20/17.69 inference(unit_resolution,[status(thm)],[493, 115, 490])).
% 27.20/17.69 tff(495,plain,
% 27.20/17.69 (((~![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))))))))),
% 27.20/17.69 inference(rewrite,[status(thm)],[])).
% 27.20/17.69 tff(496,plain,
% 27.20/17.69 ((~![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))))))))),
% 27.20/17.70 inference(quant_inst,[status(thm)],[])).
% 27.20/17.70 tff(497,plain,
% 27.20/17.70 ((~![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)))))))),
% 27.20/17.70 inference(modus_ponens,[status(thm)],[496, 495])).
% 27.20/17.70 tff(498,plain,
% 27.20/17.70 (![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)))))))),
% 27.20/17.70 inference(unit_resolution,[status(thm)],[497, 75, 494])).
% 27.20/17.70 tff(499,plain,
% 27.20/17.70 (((~![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)))))))),
% 27.20/17.70 inference(rewrite,[status(thm)],[])).
% 27.20/17.70 tff(500,plain,
% 27.20/17.70 (((~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)))))))),
% 27.20/17.70 inference(rewrite,[status(thm)],[])).
% 27.20/17.70 tff(501,plain,
% 27.20/17.70 (((~![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))))))))),
% 27.20/17.70 inference(monotonicity,[status(thm)],[500])).
% 27.20/17.70 tff(502,plain,
% 27.20/17.70 (((~![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)))))))),
% 27.20/17.70 inference(transitivity,[status(thm)],[501, 499])).
% 27.20/17.70 tff(503,plain,
% 27.20/17.70 ((~![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)))))))),
% 27.20/17.71 inference(quant_inst,[status(thm)],[])).
% 27.20/17.71 tff(504,plain,
% 27.20/17.71 ((~![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))))))),
% 27.20/17.71 inference(modus_ponens,[status(thm)],[503, 502])).
% 27.20/17.71 tff(505,plain,
% 27.20/17.71 (![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))))))),
% 27.20/17.71 inference(unit_resolution,[status(thm)],[504, 80, 498])).
% 27.20/17.71 tff(506,plain,
% 27.20/17.71 (^[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))))),
% 27.20/17.71 inference(bind,[status(th)],[])).
% 27.20/17.71 tff(507,plain,
% 27.20/17.71 (![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)))),
% 27.20/17.71 inference(quant_intro,[status(thm)],[506])).
% 27.20/17.71 tff(508,plain,
% 27.20/17.71 (^[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)))))),
% 27.20/17.71 inference(bind,[status(th)],[])).
% 27.20/17.71 tff(509,plain,
% 27.20/17.71 (![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)))),
% 27.20/17.71 inference(quant_intro,[status(thm)],[508])).
% 27.20/17.71 tff(510,plain,
% 27.20/17.71 (![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))),
% 27.20/17.71 inference(rewrite,[status(thm)],[])).
% 27.20/17.71 tff(511,plain,
% 27.20/17.71 (^[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))))),
% 27.20/17.71 inference(bind,[status(th)],[])).
% 27.20/17.71 tff(512,plain,
% 27.20/17.71 (![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))),
% 27.20/17.71 inference(quant_intro,[status(thm)],[511])).
% 27.20/17.71 tff(513,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/sandbox/benchmark/theBenchmark.p','dt_k17_cat_2')).
% 27.20/17.71 tff(514,plain,
% 27.20/17.71 (![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))),
% 27.20/17.71 inference(modus_ponens,[status(thm)],[513, 512])).
% 27.20/17.71 tff(515,plain,
% 27.20/17.71 (![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))),
% 27.20/17.71 inference(modus_ponens,[status(thm)],[514, 510])).
% 27.20/17.71 tff(516,plain,(
% 27.20/17.71 ![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))),
% 27.20/17.71 inference(skolemize,[status(sab)],[515])).
% 27.20/17.71 tff(517,plain,
% 27.20/17.71 (![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)))),
% 27.20/17.71 inference(modus_ponens,[status(thm)],[516, 509])).
% 27.20/17.71 tff(518,plain,
% 27.20/17.71 (![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)))),
% 27.20/17.71 inference(modus_ponens,[status(thm)],[517, 507])).
% 27.20/17.71 tff(519,plain,
% 27.20/17.71 (((~![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))),
% 27.20/17.71 inference(rewrite,[status(thm)],[])).
% 27.20/17.71 tff(520,plain,
% 27.20/17.71 ((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))),
% 27.20/17.71 inference(rewrite,[status(thm)],[])).
% 27.20/17.71 tff(521,plain,
% 27.20/17.71 (((~![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)))),
% 27.20/17.71 inference(monotonicity,[status(thm)],[520])).
% 27.20/17.71 tff(522,plain,
% 27.20/17.71 (((~![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))),
% 27.20/17.71 inference(transitivity,[status(thm)],[521, 519])).
% 27.20/17.71 tff(523,plain,
% 27.20/17.71 ((~![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)))),
% 27.20/17.71 inference(quant_inst,[status(thm)],[])).
% 27.20/17.71 tff(524,plain,
% 27.20/17.71 ((~![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)),
% 27.20/17.71 inference(modus_ponens,[status(thm)],[523, 522])).
% 27.20/17.71 tff(525,plain,
% 27.20/17.71 (m2_cat_1(k17_cat_2(B!1, C!2), k11_cat_2(B!1, C!2), C!2)),
% 27.20/17.71 inference(unit_resolution,[status(thm)],[524, 64, 63, 70, 69, 518])).
% 27.20/17.71 tff(526,plain,
% 27.20/17.71 (((~![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)))))))),
% 27.20/17.71 inference(rewrite,[status(thm)],[])).
% 27.20/17.71 tff(527,plain,
% 27.20/17.71 ((~![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)))))))),
% 27.20/17.71 inference(quant_inst,[status(thm)],[])).
% 27.20/17.71 tff(528,plain,
% 27.20/17.71 ((~![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))))))),
% 27.20/17.71 inference(modus_ponens,[status(thm)],[527, 526])).
% 27.20/17.71 tff(529,plain,
% 27.20/17.71 (![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))))))),
% 27.20/17.71 inference(unit_resolution,[status(thm)],[528, 525, 505])).
% 27.20/17.71 tff(530,plain,
% 27.20/17.71 (((~![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))))))),
% 27.20/17.71 inference(rewrite,[status(thm)],[])).
% 27.20/17.71 tff(531,plain,
% 27.20/17.71 ((~![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))))))),
% 27.20/17.72 inference(quant_inst,[status(thm)],[])).
% 27.20/17.72 tff(532,plain,
% 27.20/17.72 ((~![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)))))),
% 27.20/17.72 inference(modus_ponens,[status(thm)],[531, 530])).
% 27.20/17.72 tff(533,plain,
% 27.20/17.72 (![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)))))),
% 27.20/17.72 inference(unit_resolution,[status(thm)],[532, 124, 529])).
% 27.20/17.72 tff(534,plain,
% 27.20/17.72 (((~![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)))))),
% 27.27/17.72 inference(rewrite,[status(thm)],[])).
% 27.27/17.72 tff(535,plain,
% 27.27/17.72 ((~![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)))))),
% 27.27/17.72 inference(quant_inst,[status(thm)],[])).
% 27.27/17.72 tff(536,plain,
% 27.27/17.72 ((~![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))))),
% 27.27/17.72 inference(modus_ponens,[status(thm)],[535, 534])).
% 27.27/17.72 tff(537,plain,
% 27.27/17.72 (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))))),
% 27.27/17.72 inference(unit_resolution,[status(thm)],[536, 86, 318, 317, 533])).
% 27.27/17.72 tff(538,plain,
% 27.27/17.72 (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)))),
% 27.27/17.72 inference(modus_ponens,[status(thm)],[537, 472])).
% 27.27/17.72 tff(539,plain,
% 27.27/17.72 ((~(~((~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)))))),
% 27.27/17.73 inference(rewrite,[status(thm)],[])).
% 27.27/17.73 tff(540,plain,
% 27.27/17.73 ((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))))))),
% 27.27/17.73 inference(rewrite,[status(thm)],[])).
% 27.27/17.73 tff(541,plain,
% 27.27/17.73 ((~(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)))))))),
% 27.27/17.73 inference(monotonicity,[status(thm)],[540])).
% 27.31/17.81 tff(542,plain,
% 27.31/17.81 ((~(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)))))),
% 27.31/17.81 inference(transitivity,[status(thm)],[541, 539])).
% 27.31/17.81 tff(543,plain,
% 27.31/17.81 (~(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))))),
% 27.31/17.81 inference(or_elim,[status(thm)],[85])).
% 27.31/17.81 tff(544,plain,
% 27.31/17.81 ((~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))))),
% 27.31/17.81 inference(modus_ponens,[status(thm)],[543, 542])).
% 27.31/17.81 tff(545,plain,
% 27.31/17.81 ($false),
% 27.31/17.81 inference(unit_resolution,[status(thm)],[544, 538, 323])).
% 27.31/17.81 % SZS output end Proof
%------------------------------------------------------------------------------