TSTP Solution File: CAT027+1 by Z3---4.8.9.0

%------------------------------------------------------------------------------
% File     : Z3---4.8.9.0
% Problem  : CAT027+1 : TPTP v8.1.0. Released v3.4.0.
% Transfm  : none
% Format   : tptp
% Command  : z3_tptp -proof -model -t:%d -file:%s

% Computer : n020.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 17:29:56 EDT 2022

% Result   : Theorem 36.58s 23.38s
% Output   : Proof 37.24s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : CAT027+1 : TPTP v8.1.0. Released v3.4.0.
% 0.07/0.13  % Command  : z3_tptp -proof -model -t:%d -file:%s
% 0.14/0.35  % Computer : n020.cluster.edu
% 0.14/0.35  % Model    : x86_64 x86_64
% 0.14/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35  % Memory   : 8042.1875MB
% 0.14/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35  % CPULimit : 300
% 0.14/0.35  % WCLimit  : 300
% 0.14/0.35  % DateTime : Tue Aug 30 07:13:15 EDT 2022
% 0.14/0.35  % CPUTime  : 
% 0.14/0.35  Z3tptp [4.8.9.0] (c) 2006-20**. Microsoft Corp.
% 0.14/0.35  Usage: tptp [options] [-file:]file
% 0.14/0.35    -h, -?       prints this message.
% 0.14/0.35    -smt2        print SMT-LIB2 benchmark.
% 0.14/0.35    -m, -model   generate model.
% 0.14/0.35    -p, -proof   generate proof.
% 0.14/0.35    -c, -core    generate unsat core of named formulas.
% 0.14/0.35    -st, -statistics display statistics.
% 0.14/0.35    -t:timeout   set timeout (in second).
% 0.14/0.35    -smt2status  display status in smt2 format instead of SZS.
% 0.14/0.35    -check_status check the status produced by Z3 against annotation in benchmark.
% 0.14/0.35    -<param>:<value> configuration parameter and value.
% 0.14/0.35    -o:<output-file> file to place output in.
% 36.58/23.38  % SZS status Theorem
% 36.58/23.38  % SZS output start Proof
% 36.58/23.38  tff(r4_nattra_1_type, type, (
% 36.58/23.38     r4_nattra_1: ( $i * $i * $i * $i * $i * $i ) > $o)).
% 36.58/23.38  tff(k13_isocat_2_type, type, (
% 36.58/23.38     k13_isocat_2: ( $i * $i * $i * $i * $i * $i ) > $i)).
% 36.58/23.38  tff(k7_nattra_1_type, type, (
% 36.58/23.38     k7_nattra_1: ( $i * $i * $i ) > $i)).
% 36.58/23.38  tff(tptp_fun_D_3_type, type, (
% 36.58/23.38     tptp_fun_D_3: $i)).
% 36.58/23.38  tff(k11_cat_2_type, type, (
% 36.58/23.38     k11_cat_2: ( $i * $i ) > $i)).
% 36.58/23.38  tff(tptp_fun_C_2_type, type, (
% 36.58/23.38     tptp_fun_C_2: $i)).
% 36.58/23.38  tff(tptp_fun_B_1_type, type, (
% 36.58/23.38     tptp_fun_B_1: $i)).
% 36.58/23.38  tff(tptp_fun_A_0_type, type, (
% 36.58/23.38     tptp_fun_A_0: $i)).
% 36.58/23.38  tff(k11_isocat_2_type, type, (
% 36.58/23.38     k11_isocat_2: ( $i * $i * $i * $i ) > $i)).
% 36.58/23.38  tff(u2_cat_1_type, type, (
% 36.58/23.38     u2_cat_1: $i > $i)).
% 36.58/23.38  tff(u1_cat_1_type, type, (
% 36.58/23.38     u1_cat_1: $i > $i)).
% 36.58/23.38  tff(k6_isocat_1_type, type, (
% 36.58/23.38     k6_isocat_1: ( $i * $i * $i * $i * $i * $i * $i ) > $i)).
% 36.58/23.38  tff(k16_cat_2_type, type, (
% 36.58/23.38     k16_cat_2: ( $i * $i ) > $i)).
% 36.58/23.38  tff(k4_nattra_1_type, type, (
% 36.58/23.38     k4_nattra_1: ( $i * $i * $i ) > $i)).
% 36.58/23.38  tff(v2_cat_1_type, type, (
% 36.58/23.38     v2_cat_1: $i > $o)).
% 36.58/23.38  tff(l1_cat_1_type, type, (
% 36.58/23.38     l1_cat_1: $i > $o)).
% 36.58/23.38  tff(k14_isocat_2_type, type, (
% 36.58/23.38     k14_isocat_2: ( $i * $i * $i * $i * $i * $i ) > $i)).
% 36.58/23.38  tff(k12_isocat_2_type, type, (
% 36.58/23.38     k12_isocat_2: ( $i * $i * $i * $i ) > $i)).
% 36.58/23.38  tff(m2_cat_1_type, type, (
% 36.58/23.38     m2_cat_1: ( $i * $i * $i ) > $o)).
% 36.58/23.38  tff(k8_isocat_2_type, type, (
% 36.58/23.38     k8_isocat_2: ( $i * $i ) > $i)).
% 36.58/23.38  tff(m2_nattra_1_type, type, (
% 36.58/23.38     m2_nattra_1: ( $i * $i * $i * $i * $i ) > $o)).
% 36.58/23.38  tff(v1_funct_1_type, type, (
% 36.58/23.38     v1_funct_1: $i > $o)).
% 36.58/23.38  tff(m2_relset_1_type, type, (
% 36.58/23.38     m2_relset_1: ( $i * $i * $i ) > $o)).
% 36.58/23.38  tff(v1_funct_2_type, type, (
% 36.58/23.38     v1_funct_2: ( $i * $i * $i ) > $o)).
% 36.58/23.38  tff(m1_nattra_1_type, type, (
% 36.58/23.38     m1_nattra_1: ( $i * $i * $i * $i * $i ) > $o)).
% 36.58/23.38  tff(k2_isocat_1_type, type, (
% 36.58/23.38     k2_isocat_1: ( $i * $i * $i * $i * $i ) > $i)).
% 36.58/23.38  tff(m1_relset_1_type, type, (
% 36.58/23.38     m1_relset_1: ( $i * $i * $i ) > $o)).
% 36.58/23.38  tff(v1_xboole_0_type, type, (
% 36.58/23.38     v1_xboole_0: $i > $o)).
% 36.58/23.38  tff(k17_cat_2_type, type, (
% 36.58/23.38     k17_cat_2: ( $i * $i ) > $i)).
% 36.58/23.38  tff(k9_isocat_2_type, type, (
% 36.58/23.38     k9_isocat_2: ( $i * $i ) > $i)).
% 36.58/23.38  tff(1,plain,
% 36.58/23.38      (^[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)))))))),
% 36.58/23.38      inference(bind,[status(th)],[])).
% 36.58/23.38  tff(2,plain,
% 36.58/23.38      (![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))))))),
% 36.58/23.38      inference(quant_intro,[status(thm)],[1])).
% 36.58/23.38  tff(3,plain,
% 36.58/23.38      (^[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))))))))),
% 36.69/23.38      inference(bind,[status(th)],[])).
% 36.69/23.38  tff(4,plain,
% 36.69/23.38      (![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))))))),
% 36.69/23.38      inference(quant_intro,[status(thm)],[3])).
% 36.69/23.38  tff(5,plain,
% 36.69/23.38      (![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))))),
% 36.69/23.38      inference(rewrite,[status(thm)],[])).
% 36.69/23.38  tff(6,plain,
% 36.69/23.38      (^[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))))))),
% 36.69/23.38      inference(bind,[status(th)],[])).
% 36.69/23.38  tff(7,plain,
% 36.69/23.38      (![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))))),
% 36.69/23.38      inference(quant_intro,[status(thm)],[6])).
% 36.69/23.38  tff(8,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')).
% 36.69/23.38  tff(9,plain,
% 36.69/23.38      (![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))))),
% 36.69/23.38      inference(modus_ponens,[status(thm)],[8, 7])).
% 36.69/23.38  tff(10,plain,
% 36.69/23.38      (![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))))),
% 36.69/23.38      inference(modus_ponens,[status(thm)],[9, 5])).
% 36.69/23.38  tff(11,plain,(
% 36.69/23.38      ![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))))),
% 36.69/23.38      inference(skolemize,[status(sab)],[10])).
% 36.69/23.38  tff(12,plain,
% 36.69/23.38      (![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))))))),
% 36.69/23.38      inference(modus_ponens,[status(thm)],[11, 4])).
% 36.69/23.38  tff(13,plain,
% 36.69/23.38      (![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))))))),
% 36.69/23.38      inference(modus_ponens,[status(thm)],[12, 2])).
% 36.69/23.38  tff(14,plain,
% 36.69/23.38      (((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))) | (r4_nattra_1(u1_cat_1(A!0), u2_cat_1(B!1), u1_cat_1(A!0), u2_cat_1(B!1), k7_nattra_1(A!0, B!1, k11_isocat_2(A!0, B!1, C!2, D!3)), k13_isocat_2(A!0, B!1, C!2, D!3, D!3, k7_nattra_1(A!0, k11_cat_2(B!1, C!2), D!3))) & r4_nattra_1(u1_cat_1(A!0), u2_cat_1(C!2), u1_cat_1(A!0), u2_cat_1(C!2), k7_nattra_1(A!0, C!2, k12_isocat_2(A!0, B!1, C!2, D!3)), k14_isocat_2(A!0, B!1, C!2, D!3, D!3, k7_nattra_1(A!0, k11_cat_2(B!1, C!2), D!3)))))))) <=> (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))) | (r4_nattra_1(u1_cat_1(A!0), u2_cat_1(B!1), u1_cat_1(A!0), u2_cat_1(B!1), k7_nattra_1(A!0, B!1, k11_isocat_2(A!0, B!1, C!2, D!3)), k13_isocat_2(A!0, B!1, C!2, D!3, D!3, k7_nattra_1(A!0, k11_cat_2(B!1, C!2), D!3))) & r4_nattra_1(u1_cat_1(A!0), u2_cat_1(C!2), u1_cat_1(A!0), u2_cat_1(C!2), k7_nattra_1(A!0, C!2, k12_isocat_2(A!0, B!1, C!2, D!3)), k14_isocat_2(A!0, B!1, C!2, D!3, D!3, k7_nattra_1(A!0, k11_cat_2(B!1, C!2), D!3)))))))),
% 36.69/23.38      inference(rewrite,[status(thm)],[])).
% 36.69/23.38  tff(15,plain,
% 36.69/23.38      (((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))) | (r4_nattra_1(u1_cat_1(A!0), u2_cat_1(B!1), u1_cat_1(A!0), u2_cat_1(B!1), k7_nattra_1(A!0, B!1, k11_isocat_2(A!0, B!1, C!2, D!3)), k13_isocat_2(A!0, B!1, C!2, D!3, D!3, k7_nattra_1(A!0, k11_cat_2(B!1, C!2), D!3))) & r4_nattra_1(u1_cat_1(A!0), u2_cat_1(C!2), u1_cat_1(A!0), u2_cat_1(C!2), k7_nattra_1(A!0, C!2, k12_isocat_2(A!0, B!1, C!2, D!3)), k14_isocat_2(A!0, B!1, C!2, D!3, D!3, k7_nattra_1(A!0, k11_cat_2(B!1, C!2), D!3)))))))) <=> (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))) | (r4_nattra_1(u1_cat_1(A!0), u2_cat_1(B!1), u1_cat_1(A!0), u2_cat_1(B!1), k7_nattra_1(A!0, B!1, k11_isocat_2(A!0, B!1, C!2, D!3)), k13_isocat_2(A!0, B!1, C!2, D!3, D!3, k7_nattra_1(A!0, k11_cat_2(B!1, C!2), D!3))) & r4_nattra_1(u1_cat_1(A!0), u2_cat_1(C!2), u1_cat_1(A!0), u2_cat_1(C!2), k7_nattra_1(A!0, C!2, k12_isocat_2(A!0, B!1, C!2, D!3)), k14_isocat_2(A!0, B!1, C!2, D!3, D!3, k7_nattra_1(A!0, k11_cat_2(B!1, C!2), D!3)))))))),
% 36.69/23.38      inference(rewrite,[status(thm)],[])).
% 36.69/23.38  tff(16,plain,
% 36.69/23.38      (((v2_cat_1(C!2) & l1_cat_1(C!2)) & (~((~m2_cat_1(D!3, A!0, k11_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), k7_nattra_1(A!0, B!1, k11_isocat_2(A!0, B!1, C!2, D!3)), k13_isocat_2(A!0, B!1, C!2, D!3, D!3, k7_nattra_1(A!0, k11_cat_2(B!1, C!2), D!3))) & r4_nattra_1(u1_cat_1(A!0), u2_cat_1(C!2), u1_cat_1(A!0), u2_cat_1(C!2), k7_nattra_1(A!0, C!2, k12_isocat_2(A!0, B!1, C!2, D!3)), k14_isocat_2(A!0, B!1, C!2, D!3, D!3, k7_nattra_1(A!0, k11_cat_2(B!1, C!2), D!3))))))) <=> (v2_cat_1(C!2) & l1_cat_1(C!2) & (~((~m2_cat_1(D!3, A!0, k11_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), k7_nattra_1(A!0, B!1, k11_isocat_2(A!0, B!1, C!2, D!3)), k13_isocat_2(A!0, B!1, C!2, D!3, D!3, k7_nattra_1(A!0, k11_cat_2(B!1, C!2), D!3))) & r4_nattra_1(u1_cat_1(A!0), u2_cat_1(C!2), u1_cat_1(A!0), u2_cat_1(C!2), k7_nattra_1(A!0, C!2, k12_isocat_2(A!0, B!1, C!2, D!3)), k14_isocat_2(A!0, B!1, C!2, D!3, D!3, k7_nattra_1(A!0, k11_cat_2(B!1, C!2), D!3)))))))),
% 36.69/23.38      inference(rewrite,[status(thm)],[])).
% 36.69/23.38  tff(17,plain,
% 36.69/23.38      ((~(~(v2_cat_1(C!2) & l1_cat_1(C!2)))) <=> (v2_cat_1(C!2) & l1_cat_1(C!2))),
% 36.69/23.38      inference(rewrite,[status(thm)],[])).
% 36.69/23.38  tff(18,plain,
% 36.69/23.38      (((~(~(v2_cat_1(C!2) & l1_cat_1(C!2)))) & (~((~m2_cat_1(D!3, A!0, k11_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), k7_nattra_1(A!0, B!1, k11_isocat_2(A!0, B!1, C!2, D!3)), k13_isocat_2(A!0, B!1, C!2, D!3, D!3, k7_nattra_1(A!0, k11_cat_2(B!1, C!2), D!3))) & r4_nattra_1(u1_cat_1(A!0), u2_cat_1(C!2), u1_cat_1(A!0), u2_cat_1(C!2), k7_nattra_1(A!0, C!2, k12_isocat_2(A!0, B!1, C!2, D!3)), k14_isocat_2(A!0, B!1, C!2, D!3, D!3, k7_nattra_1(A!0, k11_cat_2(B!1, C!2), D!3))))))) <=> ((v2_cat_1(C!2) & l1_cat_1(C!2)) & (~((~m2_cat_1(D!3, A!0, k11_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), k7_nattra_1(A!0, B!1, k11_isocat_2(A!0, B!1, C!2, D!3)), k13_isocat_2(A!0, B!1, C!2, D!3, D!3, k7_nattra_1(A!0, k11_cat_2(B!1, C!2), D!3))) & r4_nattra_1(u1_cat_1(A!0), u2_cat_1(C!2), u1_cat_1(A!0), u2_cat_1(C!2), k7_nattra_1(A!0, C!2, k12_isocat_2(A!0, B!1, C!2, D!3)), k14_isocat_2(A!0, B!1, C!2, D!3, D!3, k7_nattra_1(A!0, k11_cat_2(B!1, C!2), D!3)))))))),
% 36.69/23.39      inference(monotonicity,[status(thm)],[17])).
% 36.69/23.39  tff(19,plain,
% 36.69/23.39      (((~(~(v2_cat_1(C!2) & l1_cat_1(C!2)))) & (~((~m2_cat_1(D!3, A!0, k11_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), k7_nattra_1(A!0, B!1, k11_isocat_2(A!0, B!1, C!2, D!3)), k13_isocat_2(A!0, B!1, C!2, D!3, D!3, k7_nattra_1(A!0, k11_cat_2(B!1, C!2), D!3))) & r4_nattra_1(u1_cat_1(A!0), u2_cat_1(C!2), u1_cat_1(A!0), u2_cat_1(C!2), k7_nattra_1(A!0, C!2, k12_isocat_2(A!0, B!1, C!2, D!3)), k14_isocat_2(A!0, B!1, C!2, D!3, D!3, k7_nattra_1(A!0, k11_cat_2(B!1, C!2), D!3))))))) <=> (v2_cat_1(C!2) & l1_cat_1(C!2) & (~((~m2_cat_1(D!3, A!0, k11_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), k7_nattra_1(A!0, B!1, k11_isocat_2(A!0, B!1, C!2, D!3)), k13_isocat_2(A!0, B!1, C!2, D!3, D!3, k7_nattra_1(A!0, k11_cat_2(B!1, C!2), D!3))) & r4_nattra_1(u1_cat_1(A!0), u2_cat_1(C!2), u1_cat_1(A!0), u2_cat_1(C!2), k7_nattra_1(A!0, C!2, k12_isocat_2(A!0, B!1, C!2, D!3)), k14_isocat_2(A!0, B!1, C!2, D!3, D!3, k7_nattra_1(A!0, k11_cat_2(B!1, C!2), D!3)))))))),
% 36.69/23.39      inference(transitivity,[status(thm)],[18, 16])).
% 36.69/23.39  tff(20,plain,
% 36.69/23.39      ((~(~(v2_cat_1(B!1) & l1_cat_1(B!1)))) <=> (v2_cat_1(B!1) & l1_cat_1(B!1))),
% 36.69/23.39      inference(rewrite,[status(thm)],[])).
% 36.69/23.39  tff(21,plain,
% 36.69/23.39      (((~(~(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))) | (r4_nattra_1(u1_cat_1(A!0), u2_cat_1(B!1), u1_cat_1(A!0), u2_cat_1(B!1), k7_nattra_1(A!0, B!1, k11_isocat_2(A!0, B!1, C!2, D!3)), k13_isocat_2(A!0, B!1, C!2, D!3, D!3, k7_nattra_1(A!0, k11_cat_2(B!1, C!2), D!3))) & r4_nattra_1(u1_cat_1(A!0), u2_cat_1(C!2), u1_cat_1(A!0), u2_cat_1(C!2), k7_nattra_1(A!0, C!2, k12_isocat_2(A!0, B!1, C!2, D!3)), k14_isocat_2(A!0, B!1, C!2, D!3, D!3, k7_nattra_1(A!0, k11_cat_2(B!1, C!2), D!3)))))))) <=> ((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))) | (r4_nattra_1(u1_cat_1(A!0), u2_cat_1(B!1), u1_cat_1(A!0), u2_cat_1(B!1), k7_nattra_1(A!0, B!1, k11_isocat_2(A!0, B!1, C!2, D!3)), k13_isocat_2(A!0, B!1, C!2, D!3, D!3, k7_nattra_1(A!0, k11_cat_2(B!1, C!2), D!3))) & r4_nattra_1(u1_cat_1(A!0), u2_cat_1(C!2), u1_cat_1(A!0), u2_cat_1(C!2), k7_nattra_1(A!0, C!2, k12_isocat_2(A!0, B!1, C!2, D!3)), k14_isocat_2(A!0, B!1, C!2, D!3, D!3, k7_nattra_1(A!0, k11_cat_2(B!1, C!2), D!3))))))))),
% 36.69/23.39      inference(monotonicity,[status(thm)],[20, 19])).
% 36.69/23.39  tff(22,plain,
% 36.69/23.39      (((~(~(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))) | (r4_nattra_1(u1_cat_1(A!0), u2_cat_1(B!1), u1_cat_1(A!0), u2_cat_1(B!1), k7_nattra_1(A!0, B!1, k11_isocat_2(A!0, B!1, C!2, D!3)), k13_isocat_2(A!0, B!1, C!2, D!3, D!3, k7_nattra_1(A!0, k11_cat_2(B!1, C!2), D!3))) & r4_nattra_1(u1_cat_1(A!0), u2_cat_1(C!2), u1_cat_1(A!0), u2_cat_1(C!2), k7_nattra_1(A!0, C!2, k12_isocat_2(A!0, B!1, C!2, D!3)), k14_isocat_2(A!0, B!1, C!2, D!3, D!3, k7_nattra_1(A!0, k11_cat_2(B!1, C!2), D!3)))))))) <=> (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))) | (r4_nattra_1(u1_cat_1(A!0), u2_cat_1(B!1), u1_cat_1(A!0), u2_cat_1(B!1), k7_nattra_1(A!0, B!1, k11_isocat_2(A!0, B!1, C!2, D!3)), k13_isocat_2(A!0, B!1, C!2, D!3, D!3, k7_nattra_1(A!0, k11_cat_2(B!1, C!2), D!3))) & r4_nattra_1(u1_cat_1(A!0), u2_cat_1(C!2), u1_cat_1(A!0), u2_cat_1(C!2), k7_nattra_1(A!0, C!2, k12_isocat_2(A!0, B!1, C!2, D!3)), k14_isocat_2(A!0, B!1, C!2, D!3, D!3, k7_nattra_1(A!0, k11_cat_2(B!1, C!2), D!3)))))))),
% 36.69/23.40      inference(transitivity,[status(thm)],[21, 15])).
% 36.69/23.40  tff(23,plain,
% 36.69/23.40      ((~(~(v2_cat_1(A!0) & l1_cat_1(A!0)))) <=> (v2_cat_1(A!0) & l1_cat_1(A!0))),
% 36.69/23.40      inference(rewrite,[status(thm)],[])).
% 36.69/23.40  tff(24,plain,
% 36.69/23.40      (((~(~(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))) | (r4_nattra_1(u1_cat_1(A!0), u2_cat_1(B!1), u1_cat_1(A!0), u2_cat_1(B!1), k7_nattra_1(A!0, B!1, k11_isocat_2(A!0, B!1, C!2, D!3)), k13_isocat_2(A!0, B!1, C!2, D!3, D!3, k7_nattra_1(A!0, k11_cat_2(B!1, C!2), D!3))) & r4_nattra_1(u1_cat_1(A!0), u2_cat_1(C!2), u1_cat_1(A!0), u2_cat_1(C!2), k7_nattra_1(A!0, C!2, k12_isocat_2(A!0, B!1, C!2, D!3)), k14_isocat_2(A!0, B!1, C!2, D!3, D!3, k7_nattra_1(A!0, k11_cat_2(B!1, C!2), D!3))))))))) <=> ((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))) | (r4_nattra_1(u1_cat_1(A!0), u2_cat_1(B!1), u1_cat_1(A!0), u2_cat_1(B!1), k7_nattra_1(A!0, B!1, k11_isocat_2(A!0, B!1, C!2, D!3)), k13_isocat_2(A!0, B!1, C!2, D!3, D!3, k7_nattra_1(A!0, k11_cat_2(B!1, C!2), D!3))) & r4_nattra_1(u1_cat_1(A!0), u2_cat_1(C!2), u1_cat_1(A!0), u2_cat_1(C!2), k7_nattra_1(A!0, C!2, k12_isocat_2(A!0, B!1, C!2, D!3)), k14_isocat_2(A!0, B!1, C!2, D!3, D!3, k7_nattra_1(A!0, k11_cat_2(B!1, C!2), D!3))))))))),
% 36.69/23.40      inference(monotonicity,[status(thm)],[23, 22])).
% 36.69/23.40  tff(25,plain,
% 36.69/23.40      (((~(~(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))) | (r4_nattra_1(u1_cat_1(A!0), u2_cat_1(B!1), u1_cat_1(A!0), u2_cat_1(B!1), k7_nattra_1(A!0, B!1, k11_isocat_2(A!0, B!1, C!2, D!3)), k13_isocat_2(A!0, B!1, C!2, D!3, D!3, k7_nattra_1(A!0, k11_cat_2(B!1, C!2), D!3))) & r4_nattra_1(u1_cat_1(A!0), u2_cat_1(C!2), u1_cat_1(A!0), u2_cat_1(C!2), k7_nattra_1(A!0, C!2, k12_isocat_2(A!0, B!1, C!2, D!3)), k14_isocat_2(A!0, B!1, C!2, D!3, D!3, k7_nattra_1(A!0, k11_cat_2(B!1, C!2), D!3))))))))) <=> (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))) | (r4_nattra_1(u1_cat_1(A!0), u2_cat_1(B!1), u1_cat_1(A!0), u2_cat_1(B!1), k7_nattra_1(A!0, B!1, k11_isocat_2(A!0, B!1, C!2, D!3)), k13_isocat_2(A!0, B!1, C!2, D!3, D!3, k7_nattra_1(A!0, k11_cat_2(B!1, C!2), D!3))) & r4_nattra_1(u1_cat_1(A!0), u2_cat_1(C!2), u1_cat_1(A!0), u2_cat_1(C!2), k7_nattra_1(A!0, C!2, k12_isocat_2(A!0, B!1, C!2, D!3)), k14_isocat_2(A!0, B!1, C!2, D!3, D!3, k7_nattra_1(A!0, k11_cat_2(B!1, C!2), D!3)))))))),
% 36.69/23.40      inference(transitivity,[status(thm)],[24, 14])).
% 36.69/23.40  tff(26,plain,
% 36.69/23.40      ((~![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))) | (r4_nattra_1(u1_cat_1(A), u2_cat_1(B), u1_cat_1(A), u2_cat_1(B), k7_nattra_1(A, B, k11_isocat_2(A, B, C, D)), k13_isocat_2(A, B, C, D, D, k7_nattra_1(A, k11_cat_2(B, C), D))) & r4_nattra_1(u1_cat_1(A), u2_cat_1(C), u1_cat_1(A), u2_cat_1(C), k7_nattra_1(A, C, k12_isocat_2(A, B, C, D)), k14_isocat_2(A, B, C, D, D, k7_nattra_1(A, k11_cat_2(B, C), D))))))))) <=> (~![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))) | (r4_nattra_1(u1_cat_1(A), u2_cat_1(B), u1_cat_1(A), u2_cat_1(B), k7_nattra_1(A, B, k11_isocat_2(A, B, C, D)), k13_isocat_2(A, B, C, D, D, k7_nattra_1(A, k11_cat_2(B, C), D))) & r4_nattra_1(u1_cat_1(A), u2_cat_1(C), u1_cat_1(A), u2_cat_1(C), k7_nattra_1(A, C, k12_isocat_2(A, B, C, D)), k14_isocat_2(A, B, C, D, D, k7_nattra_1(A, k11_cat_2(B, C), D)))))))))),
% 36.69/23.40      inference(rewrite,[status(thm)],[])).
% 36.69/23.40  tff(27,plain,
% 36.69/23.40      ((~![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)) => (r4_nattra_1(u1_cat_1(A), u2_cat_1(B), u1_cat_1(A), u2_cat_1(B), k7_nattra_1(A, B, k11_isocat_2(A, B, C, D)), k13_isocat_2(A, B, C, D, D, k7_nattra_1(A, k11_cat_2(B, C), D))) & r4_nattra_1(u1_cat_1(A), u2_cat_1(C), u1_cat_1(A), u2_cat_1(C), k7_nattra_1(A, C, k12_isocat_2(A, B, C, D)), k14_isocat_2(A, B, C, D, D, k7_nattra_1(A, k11_cat_2(B, C), D))))))))) <=> (~![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))) | (r4_nattra_1(u1_cat_1(A), u2_cat_1(B), u1_cat_1(A), u2_cat_1(B), k7_nattra_1(A, B, k11_isocat_2(A, B, C, D)), k13_isocat_2(A, B, C, D, D, k7_nattra_1(A, k11_cat_2(B, C), D))) & r4_nattra_1(u1_cat_1(A), u2_cat_1(C), u1_cat_1(A), u2_cat_1(C), k7_nattra_1(A, C, k12_isocat_2(A, B, C, D)), k14_isocat_2(A, B, C, D, D, k7_nattra_1(A, k11_cat_2(B, C), D)))))))))),
% 36.69/23.40      inference(rewrite,[status(thm)],[])).
% 36.69/23.40  tff(28,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)) => (r4_nattra_1(u1_cat_1(A), u2_cat_1(B), u1_cat_1(A), u2_cat_1(B), k7_nattra_1(A, B, k11_isocat_2(A, B, C, D)), k13_isocat_2(A, B, C, D, D, k7_nattra_1(A, k11_cat_2(B, C), D))) & r4_nattra_1(u1_cat_1(A), u2_cat_1(C), u1_cat_1(A), u2_cat_1(C), k7_nattra_1(A, C, k12_isocat_2(A, B, C, D)), k14_isocat_2(A, B, C, D, D, k7_nattra_1(A, k11_cat_2(B, C), D))))))))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','t40_isocat_2')).
% 36.69/23.40  tff(29,plain,
% 36.69/23.40      (~![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))) | (r4_nattra_1(u1_cat_1(A), u2_cat_1(B), u1_cat_1(A), u2_cat_1(B), k7_nattra_1(A, B, k11_isocat_2(A, B, C, D)), k13_isocat_2(A, B, C, D, D, k7_nattra_1(A, k11_cat_2(B, C), D))) & r4_nattra_1(u1_cat_1(A), u2_cat_1(C), u1_cat_1(A), u2_cat_1(C), k7_nattra_1(A, C, k12_isocat_2(A, B, C, D)), k14_isocat_2(A, B, C, D, D, k7_nattra_1(A, k11_cat_2(B, C), D))))))))),
% 36.69/23.40      inference(modus_ponens,[status(thm)],[28, 27])).
% 36.69/23.40  tff(30,plain,
% 36.69/23.40      (~![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))) | (r4_nattra_1(u1_cat_1(A), u2_cat_1(B), u1_cat_1(A), u2_cat_1(B), k7_nattra_1(A, B, k11_isocat_2(A, B, C, D)), k13_isocat_2(A, B, C, D, D, k7_nattra_1(A, k11_cat_2(B, C), D))) & r4_nattra_1(u1_cat_1(A), u2_cat_1(C), u1_cat_1(A), u2_cat_1(C), k7_nattra_1(A, C, k12_isocat_2(A, B, C, D)), k14_isocat_2(A, B, C, D, D, k7_nattra_1(A, k11_cat_2(B, C), D))))))))),
% 36.69/23.40      inference(modus_ponens,[status(thm)],[29, 26])).
% 36.69/23.40  tff(31,plain,
% 36.69/23.40      (~![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))) | (r4_nattra_1(u1_cat_1(A), u2_cat_1(B), u1_cat_1(A), u2_cat_1(B), k7_nattra_1(A, B, k11_isocat_2(A, B, C, D)), k13_isocat_2(A, B, C, D, D, k7_nattra_1(A, k11_cat_2(B, C), D))) & r4_nattra_1(u1_cat_1(A), u2_cat_1(C), u1_cat_1(A), u2_cat_1(C), k7_nattra_1(A, C, k12_isocat_2(A, B, C, D)), k14_isocat_2(A, B, C, D, D, k7_nattra_1(A, k11_cat_2(B, C), D))))))))),
% 36.69/23.40      inference(modus_ponens,[status(thm)],[30, 26])).
% 36.69/23.40  tff(32,plain,
% 36.69/23.40      (~![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))) | (r4_nattra_1(u1_cat_1(A), u2_cat_1(B), u1_cat_1(A), u2_cat_1(B), k7_nattra_1(A, B, k11_isocat_2(A, B, C, D)), k13_isocat_2(A, B, C, D, D, k7_nattra_1(A, k11_cat_2(B, C), D))) & r4_nattra_1(u1_cat_1(A), u2_cat_1(C), u1_cat_1(A), u2_cat_1(C), k7_nattra_1(A, C, k12_isocat_2(A, B, C, D)), k14_isocat_2(A, B, C, D, D, k7_nattra_1(A, k11_cat_2(B, C), D))))))))),
% 36.69/23.40      inference(modus_ponens,[status(thm)],[31, 26])).
% 36.69/23.40  tff(33,plain,
% 36.69/23.40      (~![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))) | (r4_nattra_1(u1_cat_1(A), u2_cat_1(B), u1_cat_1(A), u2_cat_1(B), k7_nattra_1(A, B, k11_isocat_2(A, B, C, D)), k13_isocat_2(A, B, C, D, D, k7_nattra_1(A, k11_cat_2(B, C), D))) & r4_nattra_1(u1_cat_1(A), u2_cat_1(C), u1_cat_1(A), u2_cat_1(C), k7_nattra_1(A, C, k12_isocat_2(A, B, C, D)), k14_isocat_2(A, B, C, D, D, k7_nattra_1(A, k11_cat_2(B, C), D))))))))),
% 36.69/23.40      inference(modus_ponens,[status(thm)],[32, 26])).
% 36.69/23.40  tff(34,plain,
% 36.69/23.40      (~![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))) | (r4_nattra_1(u1_cat_1(A), u2_cat_1(B), u1_cat_1(A), u2_cat_1(B), k7_nattra_1(A, B, k11_isocat_2(A, B, C, D)), k13_isocat_2(A, B, C, D, D, k7_nattra_1(A, k11_cat_2(B, C), D))) & r4_nattra_1(u1_cat_1(A), u2_cat_1(C), u1_cat_1(A), u2_cat_1(C), k7_nattra_1(A, C, k12_isocat_2(A, B, C, D)), k14_isocat_2(A, B, C, D, D, k7_nattra_1(A, k11_cat_2(B, C), D))))))))),
% 36.69/23.40      inference(modus_ponens,[status(thm)],[33, 26])).
% 36.69/23.40  tff(35,plain,
% 36.69/23.40      (~![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))) | (r4_nattra_1(u1_cat_1(A), u2_cat_1(B), u1_cat_1(A), u2_cat_1(B), k7_nattra_1(A, B, k11_isocat_2(A, B, C, D)), k13_isocat_2(A, B, C, D, D, k7_nattra_1(A, k11_cat_2(B, C), D))) & r4_nattra_1(u1_cat_1(A), u2_cat_1(C), u1_cat_1(A), u2_cat_1(C), k7_nattra_1(A, C, k12_isocat_2(A, B, C, D)), k14_isocat_2(A, B, C, D, D, k7_nattra_1(A, k11_cat_2(B, C), D))))))))),
% 36.69/23.40      inference(modus_ponens,[status(thm)],[34, 26])).
% 36.69/23.40  tff(36,plain,
% 36.69/23.40      (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))) | (r4_nattra_1(u1_cat_1(A!0), u2_cat_1(B!1), u1_cat_1(A!0), u2_cat_1(B!1), k7_nattra_1(A!0, B!1, k11_isocat_2(A!0, B!1, C!2, D!3)), k13_isocat_2(A!0, B!1, C!2, D!3, D!3, k7_nattra_1(A!0, k11_cat_2(B!1, C!2), D!3))) & r4_nattra_1(u1_cat_1(A!0), u2_cat_1(C!2), u1_cat_1(A!0), u2_cat_1(C!2), k7_nattra_1(A!0, C!2, k12_isocat_2(A!0, B!1, C!2, D!3)), k14_isocat_2(A!0, B!1, C!2, D!3, D!3, k7_nattra_1(A!0, k11_cat_2(B!1, C!2), D!3))))))),
% 36.69/23.40      inference(modus_ponens,[status(thm)],[35, 25])).
% 36.69/23.40  tff(37,plain,
% 36.69/23.40      (l1_cat_1(C!2)),
% 36.69/23.40      inference(and_elim,[status(thm)],[36])).
% 36.69/23.40  tff(38,plain,
% 36.69/23.40      (v2_cat_1(C!2)),
% 36.69/23.40      inference(and_elim,[status(thm)],[36])).
% 36.69/23.40  tff(39,plain,
% 36.69/23.40      (l1_cat_1(B!1)),
% 36.69/23.40      inference(and_elim,[status(thm)],[36])).
% 36.69/23.40  tff(40,plain,
% 36.69/23.40      (v2_cat_1(B!1)),
% 36.69/23.40      inference(and_elim,[status(thm)],[36])).
% 36.69/23.40  tff(41,plain,
% 36.69/23.40      (((~![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))))))) | ((~v2_cat_1(B!1)) | (~l1_cat_1(B!1)) | (~v2_cat_1(C!2)) | (~l1_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))))))) | (~v2_cat_1(B!1)) | (~l1_cat_1(B!1)) | (~v2_cat_1(C!2)) | (~l1_cat_1(C!2)) | (~((~v2_cat_1(k11_cat_2(B!1, C!2))) | (~l1_cat_1(k11_cat_2(B!1, C!2))))))),
% 36.69/23.40      inference(rewrite,[status(thm)],[])).
% 36.69/23.40  tff(42,plain,
% 36.69/23.40      (((~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)))))) <=> ((~v2_cat_1(B!1)) | (~l1_cat_1(B!1)) | (~v2_cat_1(C!2)) | (~l1_cat_1(C!2)) | (~((~v2_cat_1(k11_cat_2(B!1, C!2))) | (~l1_cat_1(k11_cat_2(B!1, C!2))))))),
% 36.69/23.40      inference(rewrite,[status(thm)],[])).
% 36.69/23.40  tff(43,plain,
% 36.69/23.40      ((~((~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))) | (~l1_cat_1(k11_cat_2(B!1, C!2)))))),
% 36.69/23.40      inference(rewrite,[status(thm)],[])).
% 36.69/23.40  tff(44,plain,
% 36.69/23.40      (((~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)))))) <=> ((~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))))))),
% 36.69/23.40      inference(monotonicity,[status(thm)],[43])).
% 36.69/23.40  tff(45,plain,
% 36.69/23.40      (((~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)))))) <=> ((~v2_cat_1(B!1)) | (~l1_cat_1(B!1)) | (~v2_cat_1(C!2)) | (~l1_cat_1(C!2)) | (~((~v2_cat_1(k11_cat_2(B!1, C!2))) | (~l1_cat_1(k11_cat_2(B!1, C!2))))))),
% 36.69/23.40      inference(transitivity,[status(thm)],[44, 42])).
% 36.69/23.40  tff(46,plain,
% 36.69/23.40      (((~![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))))))) | ((~v2_cat_1(B!1)) | (~l1_cat_1(B!1)) | (~v2_cat_1(C!2)) | (~l1_cat_1(C!2)) | (~((~v2_cat_1(k11_cat_2(B!1, C!2))) | (~l1_cat_1(k11_cat_2(B!1, C!2)))))))),
% 36.69/23.40      inference(monotonicity,[status(thm)],[45])).
% 36.69/23.40  tff(47,plain,
% 36.69/23.40      (((~![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))))))) | (~v2_cat_1(B!1)) | (~l1_cat_1(B!1)) | (~v2_cat_1(C!2)) | (~l1_cat_1(C!2)) | (~((~v2_cat_1(k11_cat_2(B!1, C!2))) | (~l1_cat_1(k11_cat_2(B!1, C!2))))))),
% 36.69/23.40      inference(transitivity,[status(thm)],[46, 41])).
% 36.69/23.40  tff(48,plain,
% 36.69/23.40      ((~![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))))))),
% 36.69/23.40      inference(quant_inst,[status(thm)],[])).
% 36.69/23.40  tff(49,plain,
% 36.69/23.40      ((~![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))))))) | (~v2_cat_1(B!1)) | (~l1_cat_1(B!1)) | (~v2_cat_1(C!2)) | (~l1_cat_1(C!2)) | (~((~v2_cat_1(k11_cat_2(B!1, C!2))) | (~l1_cat_1(k11_cat_2(B!1, C!2)))))),
% 36.69/23.40      inference(modus_ponens,[status(thm)],[48, 47])).
% 36.69/23.40  tff(50,plain,
% 36.69/23.40      (~((~v2_cat_1(k11_cat_2(B!1, C!2))) | (~l1_cat_1(k11_cat_2(B!1, C!2))))),
% 36.69/23.40      inference(unit_resolution,[status(thm)],[49, 40, 39, 38, 37, 13])).
% 36.69/23.40  tff(51,plain,
% 36.69/23.40      (((~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))),
% 36.69/23.40      inference(tautology,[status(thm)],[])).
% 36.69/23.40  tff(52,plain,
% 36.69/23.40      (v2_cat_1(k11_cat_2(B!1, C!2))),
% 36.69/23.40      inference(unit_resolution,[status(thm)],[51, 50])).
% 36.69/23.40  tff(53,plain,
% 36.69/23.40      (((~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))),
% 36.69/23.40      inference(tautology,[status(thm)],[])).
% 36.69/23.40  tff(54,plain,
% 36.69/23.40      (l1_cat_1(k11_cat_2(B!1, C!2))),
% 36.69/23.40      inference(unit_resolution,[status(thm)],[53, 50])).
% 36.69/23.40  tff(55,plain,
% 36.69/23.40      (^[A: $i, B: $i, C: $i] : refl(((k7_nattra_1(A, B, C) = k4_nattra_1(A, B, C)) | (~m2_cat_1(C, A, B)) | (~v2_cat_1(A)) | (~l1_cat_1(A)) | (~v2_cat_1(B)) | (~l1_cat_1(B))) <=> ((k7_nattra_1(A, B, C) = k4_nattra_1(A, B, C)) | (~m2_cat_1(C, A, B)) | (~v2_cat_1(A)) | (~l1_cat_1(A)) | (~v2_cat_1(B)) | (~l1_cat_1(B))))),
% 36.69/23.40      inference(bind,[status(th)],[])).
% 36.69/23.40  tff(56,plain,
% 36.69/23.40      (![A: $i, B: $i, C: $i] : ((k7_nattra_1(A, B, C) = k4_nattra_1(A, B, C)) | (~m2_cat_1(C, A, B)) | (~v2_cat_1(A)) | (~l1_cat_1(A)) | (~v2_cat_1(B)) | (~l1_cat_1(B))) <=> ![A: $i, B: $i, C: $i] : ((k7_nattra_1(A, B, C) = k4_nattra_1(A, B, C)) | (~m2_cat_1(C, A, B)) | (~v2_cat_1(A)) | (~l1_cat_1(A)) | (~v2_cat_1(B)) | (~l1_cat_1(B)))),
% 36.69/23.40      inference(quant_intro,[status(thm)],[55])).
% 36.69/23.40  tff(57,plain,
% 36.69/23.40      (^[A: $i, B: $i, C: $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(C, A, 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))) <=> (~(~((~m2_cat_1(C, A, B)) | (~v2_cat_1(A)) | (~l1_cat_1(A)) | (~v2_cat_1(B)) | (~l1_cat_1(B))))))), rewrite((~(~((~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)))), ((~(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(C, A, 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))) | (k7_nattra_1(A, B, C) = k4_nattra_1(A, B, C))) <=> (((~m2_cat_1(C, A, B)) | (~v2_cat_1(A)) | (~l1_cat_1(A)) | (~v2_cat_1(B)) | (~l1_cat_1(B))) | (k7_nattra_1(A, B, C) = k4_nattra_1(A, B, C))))), rewrite((((~m2_cat_1(C, A, B)) | (~v2_cat_1(A)) | (~l1_cat_1(A)) | (~v2_cat_1(B)) | (~l1_cat_1(B))) | (k7_nattra_1(A, B, C) = k4_nattra_1(A, B, C))) <=> ((k7_nattra_1(A, B, C) = k4_nattra_1(A, B, C)) | (~m2_cat_1(C, A, 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))) | (k7_nattra_1(A, B, C) = k4_nattra_1(A, B, C))) <=> ((k7_nattra_1(A, B, C) = k4_nattra_1(A, B, C)) | (~m2_cat_1(C, A, B)) | (~v2_cat_1(A)) | (~l1_cat_1(A)) | (~v2_cat_1(B)) | (~l1_cat_1(B)))))),
% 36.69/23.40      inference(bind,[status(th)],[])).
% 36.69/23.40  tff(58,plain,
% 36.69/23.40      (![A: $i, B: $i, C: $i] : ((~(v2_cat_1(A) & l1_cat_1(A) & v2_cat_1(B) & l1_cat_1(B) & m2_cat_1(C, A, B))) | (k7_nattra_1(A, B, C) = k4_nattra_1(A, B, C))) <=> ![A: $i, B: $i, C: $i] : ((k7_nattra_1(A, B, C) = k4_nattra_1(A, B, C)) | (~m2_cat_1(C, A, B)) | (~v2_cat_1(A)) | (~l1_cat_1(A)) | (~v2_cat_1(B)) | (~l1_cat_1(B)))),
% 36.69/23.40      inference(quant_intro,[status(thm)],[57])).
% 36.69/23.40  tff(59,plain,
% 36.69/23.40      (![A: $i, B: $i, C: $i] : ((~(v2_cat_1(A) & l1_cat_1(A) & v2_cat_1(B) & l1_cat_1(B) & m2_cat_1(C, A, B))) | (k7_nattra_1(A, B, C) = k4_nattra_1(A, B, C))) <=> ![A: $i, B: $i, C: $i] : ((~(v2_cat_1(A) & l1_cat_1(A) & v2_cat_1(B) & l1_cat_1(B) & m2_cat_1(C, A, B))) | (k7_nattra_1(A, B, C) = k4_nattra_1(A, B, C)))),
% 36.69/23.40      inference(rewrite,[status(thm)],[])).
% 36.69/23.40  tff(60,plain,
% 36.69/23.40      (^[A: $i, B: $i, C: $i] : 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)) => (k7_nattra_1(A, B, C) = k4_nattra_1(A, B, C))) <=> ((v2_cat_1(A) & l1_cat_1(A) & v2_cat_1(B) & l1_cat_1(B) & m2_cat_1(C, A, B)) => (k7_nattra_1(A, B, C) = k4_nattra_1(A, B, C))))), rewrite(((v2_cat_1(A) & l1_cat_1(A) & v2_cat_1(B) & l1_cat_1(B) & m2_cat_1(C, A, B)) => (k7_nattra_1(A, B, C) = k4_nattra_1(A, B, C))) <=> ((~(v2_cat_1(A) & l1_cat_1(A) & v2_cat_1(B) & l1_cat_1(B) & m2_cat_1(C, A, B))) | (k7_nattra_1(A, B, C) = k4_nattra_1(A, B, C)))), ((((((v2_cat_1(A) & l1_cat_1(A)) & v2_cat_1(B)) & l1_cat_1(B)) & m2_cat_1(C, A, B)) => (k7_nattra_1(A, B, C) = k4_nattra_1(A, B, C))) <=> ((~(v2_cat_1(A) & l1_cat_1(A) & v2_cat_1(B) & l1_cat_1(B) & m2_cat_1(C, A, B))) | (k7_nattra_1(A, B, C) = k4_nattra_1(A, B, C)))))),
% 36.69/23.41      inference(bind,[status(th)],[])).
% 36.69/23.41  tff(61,plain,
% 36.69/23.41      (![A: $i, B: $i, C: $i] : (((((v2_cat_1(A) & l1_cat_1(A)) & v2_cat_1(B)) & l1_cat_1(B)) & m2_cat_1(C, A, B)) => (k7_nattra_1(A, B, C) = k4_nattra_1(A, B, C))) <=> ![A: $i, B: $i, C: $i] : ((~(v2_cat_1(A) & l1_cat_1(A) & v2_cat_1(B) & l1_cat_1(B) & m2_cat_1(C, A, B))) | (k7_nattra_1(A, B, C) = k4_nattra_1(A, B, C)))),
% 36.69/23.41      inference(quant_intro,[status(thm)],[60])).
% 36.69/23.41  tff(62,axiom,(![A: $i, B: $i, C: $i] : (((((v2_cat_1(A) & l1_cat_1(A)) & v2_cat_1(B)) & l1_cat_1(B)) & m2_cat_1(C, A, B)) => (k7_nattra_1(A, B, C) = k4_nattra_1(A, B, C)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','redefinition_k7_nattra_1')).
% 36.69/23.41  tff(63,plain,
% 36.69/23.41      (![A: $i, B: $i, C: $i] : ((~(v2_cat_1(A) & l1_cat_1(A) & v2_cat_1(B) & l1_cat_1(B) & m2_cat_1(C, A, B))) | (k7_nattra_1(A, B, C) = k4_nattra_1(A, B, C)))),
% 36.69/23.41      inference(modus_ponens,[status(thm)],[62, 61])).
% 36.69/23.41  tff(64,plain,
% 36.69/23.41      (![A: $i, B: $i, C: $i] : ((~(v2_cat_1(A) & l1_cat_1(A) & v2_cat_1(B) & l1_cat_1(B) & m2_cat_1(C, A, B))) | (k7_nattra_1(A, B, C) = k4_nattra_1(A, B, C)))),
% 36.69/23.41      inference(modus_ponens,[status(thm)],[63, 59])).
% 36.69/23.41  tff(65,plain,(
% 36.69/23.41      ![A: $i, B: $i, C: $i] : ((~(v2_cat_1(A) & l1_cat_1(A) & v2_cat_1(B) & l1_cat_1(B) & m2_cat_1(C, A, B))) | (k7_nattra_1(A, B, C) = k4_nattra_1(A, B, C)))),
% 36.69/23.41      inference(skolemize,[status(sab)],[64])).
% 36.69/23.41  tff(66,plain,
% 36.69/23.41      (![A: $i, B: $i, C: $i] : ((k7_nattra_1(A, B, C) = k4_nattra_1(A, B, C)) | (~m2_cat_1(C, A, B)) | (~v2_cat_1(A)) | (~l1_cat_1(A)) | (~v2_cat_1(B)) | (~l1_cat_1(B)))),
% 36.69/23.41      inference(modus_ponens,[status(thm)],[65, 58])).
% 36.69/23.41  tff(67,plain,
% 36.69/23.41      (![A: $i, B: $i, C: $i] : ((k7_nattra_1(A, B, C) = k4_nattra_1(A, B, C)) | (~m2_cat_1(C, A, B)) | (~v2_cat_1(A)) | (~l1_cat_1(A)) | (~v2_cat_1(B)) | (~l1_cat_1(B)))),
% 36.69/23.41      inference(modus_ponens,[status(thm)],[66, 56])).
% 36.69/23.41  tff(68,plain,
% 36.69/23.41      (~((~m2_cat_1(D!3, A!0, k11_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), k7_nattra_1(A!0, B!1, k11_isocat_2(A!0, B!1, C!2, D!3)), k13_isocat_2(A!0, B!1, C!2, D!3, D!3, k7_nattra_1(A!0, k11_cat_2(B!1, C!2), D!3))) & r4_nattra_1(u1_cat_1(A!0), u2_cat_1(C!2), u1_cat_1(A!0), u2_cat_1(C!2), k7_nattra_1(A!0, C!2, k12_isocat_2(A!0, B!1, C!2, D!3)), k14_isocat_2(A!0, B!1, C!2, D!3, D!3, k7_nattra_1(A!0, k11_cat_2(B!1, C!2), D!3)))))),
% 36.69/23.41      inference(and_elim,[status(thm)],[36])).
% 36.69/23.41  tff(69,plain,
% 36.69/23.41      (m2_cat_1(D!3, A!0, k11_cat_2(B!1, C!2))),
% 36.69/23.41      inference(or_elim,[status(thm)],[68])).
% 36.69/23.41  tff(70,plain,
% 36.69/23.41      (l1_cat_1(A!0)),
% 36.69/23.41      inference(and_elim,[status(thm)],[36])).
% 36.69/23.41  tff(71,plain,
% 36.69/23.41      (v2_cat_1(A!0)),
% 36.69/23.41      inference(and_elim,[status(thm)],[36])).
% 36.69/23.41  tff(72,plain,
% 36.69/23.41      (((~![A: $i, B: $i, C: $i] : ((k7_nattra_1(A, B, C) = k4_nattra_1(A, B, C)) | (~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(D!3, A!0, k11_cat_2(B!1, C!2))) | (~v2_cat_1(A!0)) | (~l1_cat_1(A!0)) | (~v2_cat_1(k11_cat_2(B!1, C!2))) | (~l1_cat_1(k11_cat_2(B!1, C!2))) | (k7_nattra_1(A!0, k11_cat_2(B!1, C!2), D!3) = k4_nattra_1(A!0, k11_cat_2(B!1, C!2), D!3)))) <=> ((~![A: $i, B: $i, C: $i] : ((k7_nattra_1(A, B, C) = k4_nattra_1(A, B, C)) | (~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(D!3, A!0, k11_cat_2(B!1, C!2))) | (~v2_cat_1(A!0)) | (~l1_cat_1(A!0)) | (~v2_cat_1(k11_cat_2(B!1, C!2))) | (~l1_cat_1(k11_cat_2(B!1, C!2))) | (k7_nattra_1(A!0, k11_cat_2(B!1, C!2), D!3) = k4_nattra_1(A!0, k11_cat_2(B!1, C!2), D!3)))),
% 36.69/23.41      inference(rewrite,[status(thm)],[])).
% 36.69/23.41  tff(73,plain,
% 36.69/23.41      (((k7_nattra_1(A!0, k11_cat_2(B!1, C!2), D!3) = k4_nattra_1(A!0, k11_cat_2(B!1, C!2), D!3)) | (~m2_cat_1(D!3, A!0, k11_cat_2(B!1, C!2))) | (~v2_cat_1(A!0)) | (~l1_cat_1(A!0)) | (~v2_cat_1(k11_cat_2(B!1, C!2))) | (~l1_cat_1(k11_cat_2(B!1, C!2)))) <=> ((~m2_cat_1(D!3, A!0, k11_cat_2(B!1, C!2))) | (~v2_cat_1(A!0)) | (~l1_cat_1(A!0)) | (~v2_cat_1(k11_cat_2(B!1, C!2))) | (~l1_cat_1(k11_cat_2(B!1, C!2))) | (k7_nattra_1(A!0, k11_cat_2(B!1, C!2), D!3) = k4_nattra_1(A!0, k11_cat_2(B!1, C!2), D!3)))),
% 36.69/23.41      inference(rewrite,[status(thm)],[])).
% 36.69/23.41  tff(74,plain,
% 36.69/23.41      (((~![A: $i, B: $i, C: $i] : ((k7_nattra_1(A, B, C) = k4_nattra_1(A, B, C)) | (~m2_cat_1(C, A, B)) | (~v2_cat_1(A)) | (~l1_cat_1(A)) | (~v2_cat_1(B)) | (~l1_cat_1(B)))) | ((k7_nattra_1(A!0, k11_cat_2(B!1, C!2), D!3) = k4_nattra_1(A!0, k11_cat_2(B!1, C!2), D!3)) | (~m2_cat_1(D!3, A!0, k11_cat_2(B!1, C!2))) | (~v2_cat_1(A!0)) | (~l1_cat_1(A!0)) | (~v2_cat_1(k11_cat_2(B!1, C!2))) | (~l1_cat_1(k11_cat_2(B!1, C!2))))) <=> ((~![A: $i, B: $i, C: $i] : ((k7_nattra_1(A, B, C) = k4_nattra_1(A, B, C)) | (~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(D!3, A!0, k11_cat_2(B!1, C!2))) | (~v2_cat_1(A!0)) | (~l1_cat_1(A!0)) | (~v2_cat_1(k11_cat_2(B!1, C!2))) | (~l1_cat_1(k11_cat_2(B!1, C!2))) | (k7_nattra_1(A!0, k11_cat_2(B!1, C!2), D!3) = k4_nattra_1(A!0, k11_cat_2(B!1, C!2), D!3))))),
% 36.69/23.41      inference(monotonicity,[status(thm)],[73])).
% 36.69/23.41  tff(75,plain,
% 36.69/23.41      (((~![A: $i, B: $i, C: $i] : ((k7_nattra_1(A, B, C) = k4_nattra_1(A, B, C)) | (~m2_cat_1(C, A, B)) | (~v2_cat_1(A)) | (~l1_cat_1(A)) | (~v2_cat_1(B)) | (~l1_cat_1(B)))) | ((k7_nattra_1(A!0, k11_cat_2(B!1, C!2), D!3) = k4_nattra_1(A!0, k11_cat_2(B!1, C!2), D!3)) | (~m2_cat_1(D!3, A!0, k11_cat_2(B!1, C!2))) | (~v2_cat_1(A!0)) | (~l1_cat_1(A!0)) | (~v2_cat_1(k11_cat_2(B!1, C!2))) | (~l1_cat_1(k11_cat_2(B!1, C!2))))) <=> ((~![A: $i, B: $i, C: $i] : ((k7_nattra_1(A, B, C) = k4_nattra_1(A, B, C)) | (~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(D!3, A!0, k11_cat_2(B!1, C!2))) | (~v2_cat_1(A!0)) | (~l1_cat_1(A!0)) | (~v2_cat_1(k11_cat_2(B!1, C!2))) | (~l1_cat_1(k11_cat_2(B!1, C!2))) | (k7_nattra_1(A!0, k11_cat_2(B!1, C!2), D!3) = k4_nattra_1(A!0, k11_cat_2(B!1, C!2), D!3)))),
% 36.69/23.41      inference(transitivity,[status(thm)],[74, 72])).
% 36.69/23.41  tff(76,plain,
% 36.69/23.41      ((~![A: $i, B: $i, C: $i] : ((k7_nattra_1(A, B, C) = k4_nattra_1(A, B, C)) | (~m2_cat_1(C, A, B)) | (~v2_cat_1(A)) | (~l1_cat_1(A)) | (~v2_cat_1(B)) | (~l1_cat_1(B)))) | ((k7_nattra_1(A!0, k11_cat_2(B!1, C!2), D!3) = k4_nattra_1(A!0, k11_cat_2(B!1, C!2), D!3)) | (~m2_cat_1(D!3, A!0, k11_cat_2(B!1, C!2))) | (~v2_cat_1(A!0)) | (~l1_cat_1(A!0)) | (~v2_cat_1(k11_cat_2(B!1, C!2))) | (~l1_cat_1(k11_cat_2(B!1, C!2))))),
% 36.69/23.41      inference(quant_inst,[status(thm)],[])).
% 36.69/23.41  tff(77,plain,
% 36.69/23.41      ((~![A: $i, B: $i, C: $i] : ((k7_nattra_1(A, B, C) = k4_nattra_1(A, B, C)) | (~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(D!3, A!0, k11_cat_2(B!1, C!2))) | (~v2_cat_1(A!0)) | (~l1_cat_1(A!0)) | (~v2_cat_1(k11_cat_2(B!1, C!2))) | (~l1_cat_1(k11_cat_2(B!1, C!2))) | (k7_nattra_1(A!0, k11_cat_2(B!1, C!2), D!3) = k4_nattra_1(A!0, k11_cat_2(B!1, C!2), D!3))),
% 36.69/23.41      inference(modus_ponens,[status(thm)],[76, 75])).
% 36.69/23.41  tff(78,plain,
% 36.69/23.41      ((~v2_cat_1(k11_cat_2(B!1, C!2))) | (~l1_cat_1(k11_cat_2(B!1, C!2))) | (k7_nattra_1(A!0, k11_cat_2(B!1, C!2), D!3) = k4_nattra_1(A!0, k11_cat_2(B!1, C!2), D!3))),
% 36.69/23.41      inference(unit_resolution,[status(thm)],[77, 71, 70, 69, 67])).
% 36.69/23.41  tff(79,plain,
% 36.69/23.41      (k7_nattra_1(A!0, k11_cat_2(B!1, C!2), D!3) = k4_nattra_1(A!0, k11_cat_2(B!1, C!2), D!3)),
% 36.69/23.41      inference(unit_resolution,[status(thm)],[78, 54, 52])).
% 36.69/23.41  tff(80,plain,
% 36.69/23.41      (k4_nattra_1(A!0, k11_cat_2(B!1, C!2), D!3) = k7_nattra_1(A!0, k11_cat_2(B!1, C!2), D!3)),
% 36.69/23.41      inference(symmetry,[status(thm)],[79])).
% 36.69/23.41  tff(81,plain,
% 36.69/23.41      (k13_isocat_2(A!0, B!1, C!2, D!3, D!3, k4_nattra_1(A!0, k11_cat_2(B!1, C!2), D!3)) = k13_isocat_2(A!0, B!1, C!2, D!3, D!3, k7_nattra_1(A!0, k11_cat_2(B!1, C!2), D!3))),
% 36.69/23.41      inference(monotonicity,[status(thm)],[80])).
% 36.69/23.41  tff(82,plain,
% 36.69/23.41      (^[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))))))))))),
% 36.69/23.41      inference(bind,[status(th)],[])).
% 36.69/23.41  tff(83,plain,
% 36.69/23.41      (![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)))))))))),
% 36.69/23.41      inference(quant_intro,[status(thm)],[82])).
% 36.69/23.41  tff(84,plain,
% 36.69/23.41      (^[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))))))),
% 36.69/23.41      inference(bind,[status(th)],[])).
% 36.69/23.41  tff(85,plain,
% 36.69/23.41      (![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)))))),
% 36.69/23.41      inference(quant_intro,[status(thm)],[84])).
% 36.69/23.41  tff(86,plain,
% 36.69/23.41      (^[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))))))),
% 36.69/23.42      inference(bind,[status(th)],[])).
% 36.69/23.42  tff(87,plain,
% 36.69/23.42      (![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)))))),
% 36.69/23.42      inference(quant_intro,[status(thm)],[86])).
% 36.69/23.42  tff(88,plain,
% 36.69/23.42      (![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)))))),
% 36.69/23.42      inference(transitivity,[status(thm)],[87, 85])).
% 36.69/23.42  tff(89,plain,
% 36.69/23.42      (^[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)))))))),
% 36.69/23.42      inference(bind,[status(th)],[])).
% 36.69/23.42  tff(90,plain,
% 36.69/23.42      (![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)))))),
% 36.69/23.42      inference(quant_intro,[status(thm)],[89])).
% 36.69/23.42  tff(91,plain,
% 36.69/23.42      (![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)))))))))),
% 36.69/23.42      inference(rewrite,[status(thm)],[])).
% 36.69/23.42  tff(92,plain,
% 36.69/23.42      (^[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)))))))))))),
% 36.69/23.43      inference(bind,[status(th)],[])).
% 36.69/23.43  tff(93,plain,
% 36.69/23.43      (![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)))))))))),
% 36.69/23.43      inference(quant_intro,[status(thm)],[92])).
% 36.69/23.43  tff(94,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')).
% 36.69/23.43  tff(95,plain,
% 36.69/23.43      (![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)))))))))),
% 36.69/23.43      inference(modus_ponens,[status(thm)],[94, 93])).
% 36.69/23.43  tff(96,plain,
% 36.69/23.43      (![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)))))))))),
% 36.69/23.43      inference(modus_ponens,[status(thm)],[95, 91])).
% 36.69/23.43  tff(97,plain,(
% 36.69/23.43      ![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)))))))))),
% 36.69/23.43      inference(skolemize,[status(sab)],[96])).
% 36.69/23.43  tff(98,plain,
% 36.69/23.43      (![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)))))),
% 36.69/23.43      inference(modus_ponens,[status(thm)],[97, 90])).
% 36.69/23.43  tff(99,plain,
% 36.69/23.43      (![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)))))),
% 36.69/23.43      inference(modus_ponens,[status(thm)],[98, 88])).
% 36.69/23.43  tff(100,plain,
% 36.69/23.43      (![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)))))))))),
% 36.69/23.43      inference(modus_ponens,[status(thm)],[99, 83])).
% 36.69/23.43  tff(101,plain,
% 36.69/23.43      (((~![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)))))))))),
% 36.69/23.43      inference(rewrite,[status(thm)],[])).
% 36.69/23.43  tff(102,plain,
% 36.69/23.43      ((~![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)))))))))),
% 36.69/23.43      inference(quant_inst,[status(thm)],[])).
% 36.69/23.43  tff(103,plain,
% 36.69/23.43      ((~![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))))))))),
% 36.69/23.43      inference(modus_ponens,[status(thm)],[102, 101])).
% 36.69/23.43  tff(104,plain,
% 36.69/23.43      (![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))))))))),
% 36.69/23.43      inference(unit_resolution,[status(thm)],[103, 71, 70, 100])).
% 36.69/23.43  tff(105,plain,
% 36.69/23.43      (((~![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))))))))),
% 36.69/23.43      inference(rewrite,[status(thm)],[])).
% 36.69/23.43  tff(106,plain,
% 36.69/23.43      ((~![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))))))))),
% 36.69/23.43      inference(quant_inst,[status(thm)],[])).
% 36.69/23.43  tff(107,plain,
% 36.69/23.43      ((~![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)))))))),
% 36.69/23.43      inference(modus_ponens,[status(thm)],[106, 105])).
% 36.69/23.43  tff(108,plain,
% 36.69/23.43      (![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)))))))),
% 36.69/23.43      inference(unit_resolution,[status(thm)],[107, 40, 39, 104])).
% 36.69/23.43  tff(109,plain,
% 36.69/23.43      (((~![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)))))))),
% 36.69/23.44      inference(rewrite,[status(thm)],[])).
% 36.69/23.44  tff(110,plain,
% 36.69/23.44      ((~![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)))))))),
% 36.69/23.44      inference(quant_inst,[status(thm)],[])).
% 36.69/23.44  tff(111,plain,
% 36.69/23.44      ((~![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))))))),
% 36.69/23.44      inference(modus_ponens,[status(thm)],[110, 109])).
% 36.69/23.44  tff(112,plain,
% 36.69/23.44      (![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))))))),
% 36.69/23.44      inference(unit_resolution,[status(thm)],[111, 38, 37, 108])).
% 36.69/23.44  tff(113,plain,
% 36.69/23.44      (((~![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))))))),
% 36.69/23.44      inference(rewrite,[status(thm)],[])).
% 36.69/23.44  tff(114,plain,
% 36.69/23.44      ((~![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))))))),
% 36.69/23.45      inference(quant_inst,[status(thm)],[])).
% 36.69/23.45  tff(115,plain,
% 36.69/23.45      ((~![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)))))),
% 36.69/23.45      inference(modus_ponens,[status(thm)],[114, 113])).
% 36.69/23.45  tff(116,plain,
% 36.69/23.45      (![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)))))),
% 36.69/23.45      inference(unit_resolution,[status(thm)],[115, 69, 112])).
% 36.69/23.45  tff(117,plain,
% 36.69/23.45      (((~![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(D!3, 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, D!3)) | (k13_isocat_2(A!0, B!1, C!2, D!3, D!3, F) = k6_isocat_1(A!0, k11_cat_2(B!1, C!2), B!1, D!3, D!3, 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(D!3, 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, D!3)) | (k13_isocat_2(A!0, B!1, C!2, D!3, D!3, F) = k6_isocat_1(A!0, k11_cat_2(B!1, C!2), B!1, D!3, D!3, F, k8_isocat_2(B!1, C!2)))))),
% 36.69/23.45      inference(rewrite,[status(thm)],[])).
% 36.69/23.45  tff(118,plain,
% 36.69/23.45      ((~![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(D!3, 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, D!3)) | (k13_isocat_2(A!0, B!1, C!2, D!3, D!3, F) = k6_isocat_1(A!0, k11_cat_2(B!1, C!2), B!1, D!3, D!3, F, k8_isocat_2(B!1, C!2)))))),
% 36.69/23.45      inference(quant_inst,[status(thm)],[])).
% 36.69/23.45  tff(119,plain,
% 36.69/23.45      ((~![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(D!3, 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, D!3)) | (k13_isocat_2(A!0, B!1, C!2, D!3, D!3, F) = k6_isocat_1(A!0, k11_cat_2(B!1, C!2), B!1, D!3, D!3, F, k8_isocat_2(B!1, C!2))))),
% 36.69/23.45      inference(modus_ponens,[status(thm)],[118, 117])).
% 36.69/23.45  tff(120,plain,
% 36.69/23.45      (![F: $i] : ((~m2_nattra_1(F, A!0, k11_cat_2(B!1, C!2), D!3, D!3)) | (k13_isocat_2(A!0, B!1, C!2, D!3, D!3, F) = k6_isocat_1(A!0, k11_cat_2(B!1, C!2), B!1, D!3, D!3, F, k8_isocat_2(B!1, C!2))))),
% 36.69/23.45      inference(unit_resolution,[status(thm)],[119, 69, 116])).
% 36.69/23.45  tff(121,plain,
% 36.69/23.45      (m2_nattra_1(k4_nattra_1(A!0, k11_cat_2(B!1, C!2), D!3), A!0, k11_cat_2(B!1, C!2), D!3, D!3) <=> m2_nattra_1(k7_nattra_1(A!0, k11_cat_2(B!1, C!2), D!3), A!0, k11_cat_2(B!1, C!2), D!3, D!3)),
% 36.69/23.45      inference(monotonicity,[status(thm)],[80])).
% 36.69/23.45  tff(122,plain,
% 36.69/23.45      (m2_nattra_1(k7_nattra_1(A!0, k11_cat_2(B!1, C!2), D!3), A!0, k11_cat_2(B!1, C!2), D!3, D!3) <=> m2_nattra_1(k4_nattra_1(A!0, k11_cat_2(B!1, C!2), D!3), A!0, k11_cat_2(B!1, C!2), D!3, D!3)),
% 36.69/23.45      inference(symmetry,[status(thm)],[121])).
% 36.69/23.45  tff(123,plain,
% 36.69/23.45      (^[A: $i, B: $i, C: $i] : refl((m2_nattra_1(k7_nattra_1(A, B, C), A, B, C, C) | (~m2_cat_1(C, A, B)) | (~v2_cat_1(A)) | (~l1_cat_1(A)) | (~v2_cat_1(B)) | (~l1_cat_1(B))) <=> (m2_nattra_1(k7_nattra_1(A, B, C), A, B, C, C) | (~m2_cat_1(C, A, B)) | (~v2_cat_1(A)) | (~l1_cat_1(A)) | (~v2_cat_1(B)) | (~l1_cat_1(B))))),
% 36.69/23.45      inference(bind,[status(th)],[])).
% 36.69/23.45  tff(124,plain,
% 36.69/23.45      (![A: $i, B: $i, C: $i] : (m2_nattra_1(k7_nattra_1(A, B, C), A, B, C, C) | (~m2_cat_1(C, A, B)) | (~v2_cat_1(A)) | (~l1_cat_1(A)) | (~v2_cat_1(B)) | (~l1_cat_1(B))) <=> ![A: $i, B: $i, C: $i] : (m2_nattra_1(k7_nattra_1(A, B, C), A, B, C, C) | (~m2_cat_1(C, A, B)) | (~v2_cat_1(A)) | (~l1_cat_1(A)) | (~v2_cat_1(B)) | (~l1_cat_1(B)))),
% 36.69/23.45      inference(quant_intro,[status(thm)],[123])).
% 36.69/23.45  tff(125,plain,
% 36.69/23.45      (^[A: $i, B: $i, C: $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(C, A, 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))) <=> (~(~((~m2_cat_1(C, A, B)) | (~v2_cat_1(A)) | (~l1_cat_1(A)) | (~v2_cat_1(B)) | (~l1_cat_1(B))))))), rewrite((~(~((~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)))), ((~(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(C, A, 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))) | m2_nattra_1(k7_nattra_1(A, B, C), A, B, C, C)) <=> (((~m2_cat_1(C, A, B)) | (~v2_cat_1(A)) | (~l1_cat_1(A)) | (~v2_cat_1(B)) | (~l1_cat_1(B))) | m2_nattra_1(k7_nattra_1(A, B, C), A, B, C, C)))), rewrite((((~m2_cat_1(C, A, B)) | (~v2_cat_1(A)) | (~l1_cat_1(A)) | (~v2_cat_1(B)) | (~l1_cat_1(B))) | m2_nattra_1(k7_nattra_1(A, B, C), A, B, C, C)) <=> (m2_nattra_1(k7_nattra_1(A, B, C), A, B, C, C) | (~m2_cat_1(C, A, 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))) | m2_nattra_1(k7_nattra_1(A, B, C), A, B, C, C)) <=> (m2_nattra_1(k7_nattra_1(A, B, C), A, B, C, C) | (~m2_cat_1(C, A, B)) | (~v2_cat_1(A)) | (~l1_cat_1(A)) | (~v2_cat_1(B)) | (~l1_cat_1(B)))))),
% 36.69/23.45      inference(bind,[status(th)],[])).
% 36.69/23.45  tff(126,plain,
% 36.69/23.45      (![A: $i, B: $i, C: $i] : ((~(v2_cat_1(A) & l1_cat_1(A) & v2_cat_1(B) & l1_cat_1(B) & m2_cat_1(C, A, B))) | m2_nattra_1(k7_nattra_1(A, B, C), A, B, C, C)) <=> ![A: $i, B: $i, C: $i] : (m2_nattra_1(k7_nattra_1(A, B, C), A, B, C, C) | (~m2_cat_1(C, A, B)) | (~v2_cat_1(A)) | (~l1_cat_1(A)) | (~v2_cat_1(B)) | (~l1_cat_1(B)))),
% 36.69/23.45      inference(quant_intro,[status(thm)],[125])).
% 36.69/23.45  tff(127,plain,
% 36.69/23.45      (![A: $i, B: $i, C: $i] : ((~(v2_cat_1(A) & l1_cat_1(A) & v2_cat_1(B) & l1_cat_1(B) & m2_cat_1(C, A, B))) | m2_nattra_1(k7_nattra_1(A, B, C), A, B, C, C)) <=> ![A: $i, B: $i, C: $i] : ((~(v2_cat_1(A) & l1_cat_1(A) & v2_cat_1(B) & l1_cat_1(B) & m2_cat_1(C, A, B))) | m2_nattra_1(k7_nattra_1(A, B, C), A, B, C, C))),
% 36.69/23.45      inference(rewrite,[status(thm)],[])).
% 36.69/23.45  tff(128,plain,
% 36.69/23.45      (^[A: $i, B: $i, C: $i] : 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_nattra_1(k7_nattra_1(A, B, C), A, B, C, C)) <=> ((v2_cat_1(A) & l1_cat_1(A) & v2_cat_1(B) & l1_cat_1(B) & m2_cat_1(C, A, B)) => m2_nattra_1(k7_nattra_1(A, B, C), A, B, C, C)))), rewrite(((v2_cat_1(A) & l1_cat_1(A) & v2_cat_1(B) & l1_cat_1(B) & m2_cat_1(C, A, B)) => m2_nattra_1(k7_nattra_1(A, B, C), A, B, C, C)) <=> ((~(v2_cat_1(A) & l1_cat_1(A) & v2_cat_1(B) & l1_cat_1(B) & m2_cat_1(C, A, B))) | m2_nattra_1(k7_nattra_1(A, B, C), A, B, C, C))), ((((((v2_cat_1(A) & l1_cat_1(A)) & v2_cat_1(B)) & l1_cat_1(B)) & m2_cat_1(C, A, B)) => m2_nattra_1(k7_nattra_1(A, B, C), A, B, C, C)) <=> ((~(v2_cat_1(A) & l1_cat_1(A) & v2_cat_1(B) & l1_cat_1(B) & m2_cat_1(C, A, B))) | m2_nattra_1(k7_nattra_1(A, B, C), A, B, C, C))))),
% 36.69/23.45      inference(bind,[status(th)],[])).
% 36.69/23.45  tff(129,plain,
% 36.69/23.45      (![A: $i, B: $i, C: $i] : (((((v2_cat_1(A) & l1_cat_1(A)) & v2_cat_1(B)) & l1_cat_1(B)) & m2_cat_1(C, A, B)) => m2_nattra_1(k7_nattra_1(A, B, C), A, B, C, C)) <=> ![A: $i, B: $i, C: $i] : ((~(v2_cat_1(A) & l1_cat_1(A) & v2_cat_1(B) & l1_cat_1(B) & m2_cat_1(C, A, B))) | m2_nattra_1(k7_nattra_1(A, B, C), A, B, C, C))),
% 36.69/23.45      inference(quant_intro,[status(thm)],[128])).
% 36.69/23.45  tff(130,axiom,(![A: $i, B: $i, C: $i] : (((((v2_cat_1(A) & l1_cat_1(A)) & v2_cat_1(B)) & l1_cat_1(B)) & m2_cat_1(C, A, B)) => m2_nattra_1(k7_nattra_1(A, B, C), A, B, C, C))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','dt_k7_nattra_1')).
% 36.69/23.45  tff(131,plain,
% 36.69/23.45      (![A: $i, B: $i, C: $i] : ((~(v2_cat_1(A) & l1_cat_1(A) & v2_cat_1(B) & l1_cat_1(B) & m2_cat_1(C, A, B))) | m2_nattra_1(k7_nattra_1(A, B, C), A, B, C, C))),
% 36.69/23.45      inference(modus_ponens,[status(thm)],[130, 129])).
% 36.69/23.45  tff(132,plain,
% 36.69/23.45      (![A: $i, B: $i, C: $i] : ((~(v2_cat_1(A) & l1_cat_1(A) & v2_cat_1(B) & l1_cat_1(B) & m2_cat_1(C, A, B))) | m2_nattra_1(k7_nattra_1(A, B, C), A, B, C, C))),
% 36.69/23.45      inference(modus_ponens,[status(thm)],[131, 127])).
% 36.69/23.45  tff(133,plain,(
% 36.69/23.45      ![A: $i, B: $i, C: $i] : ((~(v2_cat_1(A) & l1_cat_1(A) & v2_cat_1(B) & l1_cat_1(B) & m2_cat_1(C, A, B))) | m2_nattra_1(k7_nattra_1(A, B, C), A, B, C, C))),
% 36.69/23.45      inference(skolemize,[status(sab)],[132])).
% 36.69/23.45  tff(134,plain,
% 36.69/23.45      (![A: $i, B: $i, C: $i] : (m2_nattra_1(k7_nattra_1(A, B, C), A, B, C, C) | (~m2_cat_1(C, A, B)) | (~v2_cat_1(A)) | (~l1_cat_1(A)) | (~v2_cat_1(B)) | (~l1_cat_1(B)))),
% 36.69/23.45      inference(modus_ponens,[status(thm)],[133, 126])).
% 36.69/23.45  tff(135,plain,
% 36.69/23.45      (![A: $i, B: $i, C: $i] : (m2_nattra_1(k7_nattra_1(A, B, C), A, B, C, C) | (~m2_cat_1(C, A, B)) | (~v2_cat_1(A)) | (~l1_cat_1(A)) | (~v2_cat_1(B)) | (~l1_cat_1(B)))),
% 36.69/23.45      inference(modus_ponens,[status(thm)],[134, 124])).
% 36.69/23.45  tff(136,plain,
% 36.69/23.45      (((~![A: $i, B: $i, C: $i] : (m2_nattra_1(k7_nattra_1(A, B, C), A, B, C, C) | (~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(D!3, A!0, k11_cat_2(B!1, C!2))) | m2_nattra_1(k7_nattra_1(A!0, k11_cat_2(B!1, C!2), D!3), A!0, k11_cat_2(B!1, C!2), D!3, D!3) | (~v2_cat_1(A!0)) | (~l1_cat_1(A!0)) | (~v2_cat_1(k11_cat_2(B!1, C!2))) | (~l1_cat_1(k11_cat_2(B!1, C!2))))) <=> ((~![A: $i, B: $i, C: $i] : (m2_nattra_1(k7_nattra_1(A, B, C), A, B, C, C) | (~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(D!3, A!0, k11_cat_2(B!1, C!2))) | m2_nattra_1(k7_nattra_1(A!0, k11_cat_2(B!1, C!2), D!3), A!0, k11_cat_2(B!1, C!2), D!3, D!3) | (~v2_cat_1(A!0)) | (~l1_cat_1(A!0)) | (~v2_cat_1(k11_cat_2(B!1, C!2))) | (~l1_cat_1(k11_cat_2(B!1, C!2))))),
% 36.69/23.45      inference(rewrite,[status(thm)],[])).
% 36.69/23.45  tff(137,plain,
% 36.69/23.45      ((m2_nattra_1(k7_nattra_1(A!0, k11_cat_2(B!1, C!2), D!3), A!0, k11_cat_2(B!1, C!2), D!3, D!3) | (~m2_cat_1(D!3, A!0, k11_cat_2(B!1, C!2))) | (~v2_cat_1(A!0)) | (~l1_cat_1(A!0)) | (~v2_cat_1(k11_cat_2(B!1, C!2))) | (~l1_cat_1(k11_cat_2(B!1, C!2)))) <=> ((~m2_cat_1(D!3, A!0, k11_cat_2(B!1, C!2))) | m2_nattra_1(k7_nattra_1(A!0, k11_cat_2(B!1, C!2), D!3), A!0, k11_cat_2(B!1, C!2), D!3, D!3) | (~v2_cat_1(A!0)) | (~l1_cat_1(A!0)) | (~v2_cat_1(k11_cat_2(B!1, C!2))) | (~l1_cat_1(k11_cat_2(B!1, C!2))))),
% 36.69/23.46      inference(rewrite,[status(thm)],[])).
% 36.69/23.46  tff(138,plain,
% 36.69/23.46      (((~![A: $i, B: $i, C: $i] : (m2_nattra_1(k7_nattra_1(A, B, C), A, B, C, C) | (~m2_cat_1(C, A, B)) | (~v2_cat_1(A)) | (~l1_cat_1(A)) | (~v2_cat_1(B)) | (~l1_cat_1(B)))) | (m2_nattra_1(k7_nattra_1(A!0, k11_cat_2(B!1, C!2), D!3), A!0, k11_cat_2(B!1, C!2), D!3, D!3) | (~m2_cat_1(D!3, A!0, k11_cat_2(B!1, C!2))) | (~v2_cat_1(A!0)) | (~l1_cat_1(A!0)) | (~v2_cat_1(k11_cat_2(B!1, C!2))) | (~l1_cat_1(k11_cat_2(B!1, C!2))))) <=> ((~![A: $i, B: $i, C: $i] : (m2_nattra_1(k7_nattra_1(A, B, C), A, B, C, C) | (~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(D!3, A!0, k11_cat_2(B!1, C!2))) | m2_nattra_1(k7_nattra_1(A!0, k11_cat_2(B!1, C!2), D!3), A!0, k11_cat_2(B!1, C!2), D!3, D!3) | (~v2_cat_1(A!0)) | (~l1_cat_1(A!0)) | (~v2_cat_1(k11_cat_2(B!1, C!2))) | (~l1_cat_1(k11_cat_2(B!1, C!2)))))),
% 36.69/23.46      inference(monotonicity,[status(thm)],[137])).
% 36.69/23.46  tff(139,plain,
% 36.69/23.46      (((~![A: $i, B: $i, C: $i] : (m2_nattra_1(k7_nattra_1(A, B, C), A, B, C, C) | (~m2_cat_1(C, A, B)) | (~v2_cat_1(A)) | (~l1_cat_1(A)) | (~v2_cat_1(B)) | (~l1_cat_1(B)))) | (m2_nattra_1(k7_nattra_1(A!0, k11_cat_2(B!1, C!2), D!3), A!0, k11_cat_2(B!1, C!2), D!3, D!3) | (~m2_cat_1(D!3, A!0, k11_cat_2(B!1, C!2))) | (~v2_cat_1(A!0)) | (~l1_cat_1(A!0)) | (~v2_cat_1(k11_cat_2(B!1, C!2))) | (~l1_cat_1(k11_cat_2(B!1, C!2))))) <=> ((~![A: $i, B: $i, C: $i] : (m2_nattra_1(k7_nattra_1(A, B, C), A, B, C, C) | (~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(D!3, A!0, k11_cat_2(B!1, C!2))) | m2_nattra_1(k7_nattra_1(A!0, k11_cat_2(B!1, C!2), D!3), A!0, k11_cat_2(B!1, C!2), D!3, D!3) | (~v2_cat_1(A!0)) | (~l1_cat_1(A!0)) | (~v2_cat_1(k11_cat_2(B!1, C!2))) | (~l1_cat_1(k11_cat_2(B!1, C!2))))),
% 36.69/23.46      inference(transitivity,[status(thm)],[138, 136])).
% 36.69/23.46  tff(140,plain,
% 36.69/23.46      ((~![A: $i, B: $i, C: $i] : (m2_nattra_1(k7_nattra_1(A, B, C), A, B, C, C) | (~m2_cat_1(C, A, B)) | (~v2_cat_1(A)) | (~l1_cat_1(A)) | (~v2_cat_1(B)) | (~l1_cat_1(B)))) | (m2_nattra_1(k7_nattra_1(A!0, k11_cat_2(B!1, C!2), D!3), A!0, k11_cat_2(B!1, C!2), D!3, D!3) | (~m2_cat_1(D!3, A!0, k11_cat_2(B!1, C!2))) | (~v2_cat_1(A!0)) | (~l1_cat_1(A!0)) | (~v2_cat_1(k11_cat_2(B!1, C!2))) | (~l1_cat_1(k11_cat_2(B!1, C!2))))),
% 36.69/23.46      inference(quant_inst,[status(thm)],[])).
% 36.69/23.46  tff(141,plain,
% 36.69/23.46      ((~![A: $i, B: $i, C: $i] : (m2_nattra_1(k7_nattra_1(A, B, C), A, B, C, C) | (~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(D!3, A!0, k11_cat_2(B!1, C!2))) | m2_nattra_1(k7_nattra_1(A!0, k11_cat_2(B!1, C!2), D!3), A!0, k11_cat_2(B!1, C!2), D!3, D!3) | (~v2_cat_1(A!0)) | (~l1_cat_1(A!0)) | (~v2_cat_1(k11_cat_2(B!1, C!2))) | (~l1_cat_1(k11_cat_2(B!1, C!2)))),
% 36.69/23.46      inference(modus_ponens,[status(thm)],[140, 139])).
% 36.69/23.46  tff(142,plain,
% 36.69/23.46      (m2_nattra_1(k7_nattra_1(A!0, k11_cat_2(B!1, C!2), D!3), A!0, k11_cat_2(B!1, C!2), D!3, D!3) | (~v2_cat_1(k11_cat_2(B!1, C!2))) | (~l1_cat_1(k11_cat_2(B!1, C!2)))),
% 36.69/23.46      inference(unit_resolution,[status(thm)],[141, 71, 70, 69, 135])).
% 36.69/23.46  tff(143,plain,
% 36.69/23.46      (m2_nattra_1(k7_nattra_1(A!0, k11_cat_2(B!1, C!2), D!3), A!0, k11_cat_2(B!1, C!2), D!3, D!3)),
% 36.69/23.46      inference(unit_resolution,[status(thm)],[142, 52, 54])).
% 36.69/23.46  tff(144,plain,
% 36.69/23.46      (m2_nattra_1(k4_nattra_1(A!0, k11_cat_2(B!1, C!2), D!3), A!0, k11_cat_2(B!1, C!2), D!3, D!3)),
% 36.69/23.46      inference(modus_ponens,[status(thm)],[143, 122])).
% 36.69/23.46  tff(145,plain,
% 36.69/23.46      (((~![F: $i] : ((~m2_nattra_1(F, A!0, k11_cat_2(B!1, C!2), D!3, D!3)) | (k13_isocat_2(A!0, B!1, C!2, D!3, D!3, F) = k6_isocat_1(A!0, k11_cat_2(B!1, C!2), B!1, D!3, D!3, F, k8_isocat_2(B!1, C!2))))) | ((~m2_nattra_1(k4_nattra_1(A!0, k11_cat_2(B!1, C!2), D!3), A!0, k11_cat_2(B!1, C!2), D!3, D!3)) | (k13_isocat_2(A!0, B!1, C!2, D!3, D!3, k4_nattra_1(A!0, k11_cat_2(B!1, C!2), D!3)) = k6_isocat_1(A!0, k11_cat_2(B!1, C!2), B!1, D!3, D!3, k4_nattra_1(A!0, k11_cat_2(B!1, C!2), D!3), k8_isocat_2(B!1, C!2))))) <=> ((~![F: $i] : ((~m2_nattra_1(F, A!0, k11_cat_2(B!1, C!2), D!3, D!3)) | (k13_isocat_2(A!0, B!1, C!2, D!3, D!3, F) = k6_isocat_1(A!0, k11_cat_2(B!1, C!2), B!1, D!3, D!3, F, k8_isocat_2(B!1, C!2))))) | (~m2_nattra_1(k4_nattra_1(A!0, k11_cat_2(B!1, C!2), D!3), A!0, k11_cat_2(B!1, C!2), D!3, D!3)) | (k13_isocat_2(A!0, B!1, C!2, D!3, D!3, k4_nattra_1(A!0, k11_cat_2(B!1, C!2), D!3)) = k6_isocat_1(A!0, k11_cat_2(B!1, C!2), B!1, D!3, D!3, k4_nattra_1(A!0, k11_cat_2(B!1, C!2), D!3), k8_isocat_2(B!1, C!2))))),
% 36.69/23.46      inference(rewrite,[status(thm)],[])).
% 36.69/23.46  tff(146,plain,
% 36.69/23.46      ((~![F: $i] : ((~m2_nattra_1(F, A!0, k11_cat_2(B!1, C!2), D!3, D!3)) | (k13_isocat_2(A!0, B!1, C!2, D!3, D!3, F) = k6_isocat_1(A!0, k11_cat_2(B!1, C!2), B!1, D!3, D!3, F, k8_isocat_2(B!1, C!2))))) | ((~m2_nattra_1(k4_nattra_1(A!0, k11_cat_2(B!1, C!2), D!3), A!0, k11_cat_2(B!1, C!2), D!3, D!3)) | (k13_isocat_2(A!0, B!1, C!2, D!3, D!3, k4_nattra_1(A!0, k11_cat_2(B!1, C!2), D!3)) = k6_isocat_1(A!0, k11_cat_2(B!1, C!2), B!1, D!3, D!3, k4_nattra_1(A!0, k11_cat_2(B!1, C!2), D!3), k8_isocat_2(B!1, C!2))))),
% 36.69/23.46      inference(quant_inst,[status(thm)],[])).
% 36.69/23.46  tff(147,plain,
% 36.69/23.46      ((~![F: $i] : ((~m2_nattra_1(F, A!0, k11_cat_2(B!1, C!2), D!3, D!3)) | (k13_isocat_2(A!0, B!1, C!2, D!3, D!3, F) = k6_isocat_1(A!0, k11_cat_2(B!1, C!2), B!1, D!3, D!3, F, k8_isocat_2(B!1, C!2))))) | (~m2_nattra_1(k4_nattra_1(A!0, k11_cat_2(B!1, C!2), D!3), A!0, k11_cat_2(B!1, C!2), D!3, D!3)) | (k13_isocat_2(A!0, B!1, C!2, D!3, D!3, k4_nattra_1(A!0, k11_cat_2(B!1, C!2), D!3)) = k6_isocat_1(A!0, k11_cat_2(B!1, C!2), B!1, D!3, D!3, k4_nattra_1(A!0, k11_cat_2(B!1, C!2), D!3), k8_isocat_2(B!1, C!2)))),
% 36.69/23.46      inference(modus_ponens,[status(thm)],[146, 145])).
% 36.69/23.46  tff(148,plain,
% 36.69/23.46      (k13_isocat_2(A!0, B!1, C!2, D!3, D!3, k4_nattra_1(A!0, k11_cat_2(B!1, C!2), D!3)) = k6_isocat_1(A!0, k11_cat_2(B!1, C!2), B!1, D!3, D!3, k4_nattra_1(A!0, k11_cat_2(B!1, C!2), D!3), k8_isocat_2(B!1, C!2))),
% 36.69/23.46      inference(unit_resolution,[status(thm)],[147, 144, 120])).
% 36.69/23.46  tff(149,plain,
% 36.69/23.46      (k6_isocat_1(A!0, k11_cat_2(B!1, C!2), B!1, D!3, D!3, k4_nattra_1(A!0, k11_cat_2(B!1, C!2), D!3), k8_isocat_2(B!1, C!2)) = k13_isocat_2(A!0, B!1, C!2, D!3, D!3, k4_nattra_1(A!0, k11_cat_2(B!1, C!2), D!3))),
% 36.69/23.46      inference(symmetry,[status(thm)],[148])).
% 36.69/23.46  tff(150,plain,
% 36.69/23.46      (^[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))))),
% 36.69/23.46      inference(bind,[status(th)],[])).
% 36.69/23.46  tff(151,plain,
% 36.69/23.46      (![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)))),
% 36.69/23.46      inference(quant_intro,[status(thm)],[150])).
% 36.69/23.46  tff(152,plain,
% 36.69/23.46      (^[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)))))),
% 36.69/23.46      inference(bind,[status(th)],[])).
% 36.69/23.46  tff(153,plain,
% 36.69/23.46      (![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)))),
% 36.69/23.46      inference(quant_intro,[status(thm)],[152])).
% 36.69/23.46  tff(154,plain,
% 36.69/23.46      (![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)))),
% 36.69/23.46      inference(rewrite,[status(thm)],[])).
% 36.69/23.46  tff(155,plain,
% 36.69/23.46      (^[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)))))),
% 36.69/23.46      inference(bind,[status(th)],[])).
% 36.69/23.46  tff(156,plain,
% 36.69/23.46      (![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)))),
% 36.69/23.46      inference(quant_intro,[status(thm)],[155])).
% 36.69/23.46  tff(157,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')).
% 36.69/23.46  tff(158,plain,
% 36.69/23.46      (![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)))),
% 36.69/23.46      inference(modus_ponens,[status(thm)],[157, 156])).
% 36.69/23.46  tff(159,plain,
% 36.69/23.46      (![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)))),
% 36.69/23.46      inference(modus_ponens,[status(thm)],[158, 154])).
% 36.69/23.46  tff(160,plain,(
% 36.69/23.46      ![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)))),
% 36.69/23.46      inference(skolemize,[status(sab)],[159])).
% 36.69/23.46  tff(161,plain,
% 36.69/23.46      (![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)))),
% 36.69/23.46      inference(modus_ponens,[status(thm)],[160, 153])).
% 36.69/23.46  tff(162,plain,
% 36.69/23.46      (![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)))),
% 36.69/23.46      inference(modus_ponens,[status(thm)],[161, 151])).
% 36.69/23.46  tff(163,plain,
% 36.69/23.46      (((~![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)))) | ((~v2_cat_1(B!1)) | (~l1_cat_1(B!1)) | (~v2_cat_1(C!2)) | (~l1_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)))) | (~v2_cat_1(B!1)) | (~l1_cat_1(B!1)) | (~v2_cat_1(C!2)) | (~l1_cat_1(C!2)) | (k8_isocat_2(B!1, C!2) = k16_cat_2(B!1, C!2)))),
% 36.69/23.47      inference(rewrite,[status(thm)],[])).
% 36.69/23.47  tff(164,plain,
% 36.69/23.47      (((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))) <=> ((~v2_cat_1(B!1)) | (~l1_cat_1(B!1)) | (~v2_cat_1(C!2)) | (~l1_cat_1(C!2)) | (k8_isocat_2(B!1, C!2) = k16_cat_2(B!1, C!2)))),
% 36.69/23.47      inference(rewrite,[status(thm)],[])).
% 36.69/23.47  tff(165,plain,
% 36.69/23.47      (((~![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)))) | ((~v2_cat_1(B!1)) | (~l1_cat_1(B!1)) | (~v2_cat_1(C!2)) | (~l1_cat_1(C!2)) | (k8_isocat_2(B!1, C!2) = k16_cat_2(B!1, C!2))))),
% 36.69/23.47      inference(monotonicity,[status(thm)],[164])).
% 36.69/23.47  tff(166,plain,
% 36.69/23.47      (((~![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)))) | (~v2_cat_1(B!1)) | (~l1_cat_1(B!1)) | (~v2_cat_1(C!2)) | (~l1_cat_1(C!2)) | (k8_isocat_2(B!1, C!2) = k16_cat_2(B!1, C!2)))),
% 36.69/23.47      inference(transitivity,[status(thm)],[165, 163])).
% 36.69/23.47  tff(167,plain,
% 36.69/23.47      ((~![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)))),
% 36.69/23.47      inference(quant_inst,[status(thm)],[])).
% 36.69/23.47  tff(168,plain,
% 36.69/23.47      ((~![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)))) | (~v2_cat_1(B!1)) | (~l1_cat_1(B!1)) | (~v2_cat_1(C!2)) | (~l1_cat_1(C!2)) | (k8_isocat_2(B!1, C!2) = k16_cat_2(B!1, C!2))),
% 36.69/23.47      inference(modus_ponens,[status(thm)],[167, 166])).
% 36.69/23.47  tff(169,plain,
% 36.69/23.47      (k8_isocat_2(B!1, C!2) = k16_cat_2(B!1, C!2)),
% 36.69/23.47      inference(unit_resolution,[status(thm)],[168, 40, 39, 38, 37, 162])).
% 36.69/23.47  tff(170,plain,
% 36.69/23.47      (k16_cat_2(B!1, C!2) = k8_isocat_2(B!1, C!2)),
% 36.69/23.47      inference(symmetry,[status(thm)],[169])).
% 36.69/23.47  tff(171,plain,
% 36.69/23.47      (k6_isocat_1(A!0, k11_cat_2(B!1, C!2), B!1, D!3, D!3, k7_nattra_1(A!0, k11_cat_2(B!1, C!2), D!3), k16_cat_2(B!1, C!2)) = k6_isocat_1(A!0, k11_cat_2(B!1, C!2), B!1, D!3, D!3, k4_nattra_1(A!0, k11_cat_2(B!1, C!2), D!3), k8_isocat_2(B!1, C!2))),
% 36.69/23.47      inference(monotonicity,[status(thm)],[79, 170])).
% 36.69/23.47  tff(172,plain,
% 36.69/23.47      (k6_isocat_1(A!0, k11_cat_2(B!1, C!2), B!1, D!3, D!3, k7_nattra_1(A!0, k11_cat_2(B!1, C!2), D!3), k16_cat_2(B!1, C!2)) = k13_isocat_2(A!0, B!1, C!2, D!3, D!3, k7_nattra_1(A!0, k11_cat_2(B!1, C!2), D!3))),
% 36.69/23.47      inference(transitivity,[status(thm)],[171, 149, 81])).
% 36.69/23.47  tff(173,plain,
% 36.69/23.47      (^[A: $i, B: $i, C: $i, D: $i] : refl((m2_cat_1(k11_isocat_2(A, B, C, D), A, B) | (~m2_cat_1(D, A, k11_cat_2(B, C))) | (~v2_cat_1(A)) | (~l1_cat_1(A)) | (~v2_cat_1(B)) | (~l1_cat_1(B)) | (~v2_cat_1(C)) | (~l1_cat_1(C))) <=> (m2_cat_1(k11_isocat_2(A, B, C, D), A, B) | (~m2_cat_1(D, A, k11_cat_2(B, C))) | (~v2_cat_1(A)) | (~l1_cat_1(A)) | (~v2_cat_1(B)) | (~l1_cat_1(B)) | (~v2_cat_1(C)) | (~l1_cat_1(C))))),
% 36.69/23.47      inference(bind,[status(th)],[])).
% 36.69/23.47  tff(174,plain,
% 36.69/23.47      (![A: $i, B: $i, C: $i, D: $i] : (m2_cat_1(k11_isocat_2(A, B, C, D), A, B) | (~m2_cat_1(D, A, k11_cat_2(B, C))) | (~v2_cat_1(A)) | (~l1_cat_1(A)) | (~v2_cat_1(B)) | (~l1_cat_1(B)) | (~v2_cat_1(C)) | (~l1_cat_1(C))) <=> ![A: $i, B: $i, C: $i, D: $i] : (m2_cat_1(k11_isocat_2(A, B, C, D), A, B) | (~m2_cat_1(D, A, k11_cat_2(B, C))) | (~v2_cat_1(A)) | (~l1_cat_1(A)) | (~v2_cat_1(B)) | (~l1_cat_1(B)) | (~v2_cat_1(C)) | (~l1_cat_1(C)))),
% 36.69/23.47      inference(quant_intro,[status(thm)],[173])).
% 36.69/23.47  tff(175,plain,
% 36.78/23.47      (^[A: $i, B: $i, C: $i, D: $i] : trans(monotonicity(trans(monotonicity(rewrite((v2_cat_1(A) & l1_cat_1(A) & v2_cat_1(B) & l1_cat_1(B) & v2_cat_1(C) & l1_cat_1(C) & m2_cat_1(D, A, k11_cat_2(B, C))) <=> (~((~m2_cat_1(D, A, k11_cat_2(B, C))) | (~v2_cat_1(A)) | (~l1_cat_1(A)) | (~v2_cat_1(B)) | (~l1_cat_1(B)) | (~v2_cat_1(C)) | (~l1_cat_1(C))))), ((~(v2_cat_1(A) & l1_cat_1(A) & v2_cat_1(B) & l1_cat_1(B) & v2_cat_1(C) & l1_cat_1(C) & m2_cat_1(D, A, k11_cat_2(B, C)))) <=> (~(~((~m2_cat_1(D, A, k11_cat_2(B, C))) | (~v2_cat_1(A)) | (~l1_cat_1(A)) | (~v2_cat_1(B)) | (~l1_cat_1(B)) | (~v2_cat_1(C)) | (~l1_cat_1(C))))))), rewrite((~(~((~m2_cat_1(D, A, k11_cat_2(B, C))) | (~v2_cat_1(A)) | (~l1_cat_1(A)) | (~v2_cat_1(B)) | (~l1_cat_1(B)) | (~v2_cat_1(C)) | (~l1_cat_1(C))))) <=> ((~m2_cat_1(D, A, k11_cat_2(B, C))) | (~v2_cat_1(A)) | (~l1_cat_1(A)) | (~v2_cat_1(B)) | (~l1_cat_1(B)) | (~v2_cat_1(C)) | (~l1_cat_1(C)))), ((~(v2_cat_1(A) & l1_cat_1(A) & v2_cat_1(B) & l1_cat_1(B) & v2_cat_1(C) & l1_cat_1(C) & m2_cat_1(D, A, k11_cat_2(B, C)))) <=> ((~m2_cat_1(D, A, k11_cat_2(B, C))) | (~v2_cat_1(A)) | (~l1_cat_1(A)) | (~v2_cat_1(B)) | (~l1_cat_1(B)) | (~v2_cat_1(C)) | (~l1_cat_1(C))))), (((~(v2_cat_1(A) & l1_cat_1(A) & v2_cat_1(B) & l1_cat_1(B) & v2_cat_1(C) & l1_cat_1(C) & m2_cat_1(D, A, k11_cat_2(B, C)))) | m2_cat_1(k11_isocat_2(A, B, C, D), A, B)) <=> (((~m2_cat_1(D, A, k11_cat_2(B, C))) | (~v2_cat_1(A)) | (~l1_cat_1(A)) | (~v2_cat_1(B)) | (~l1_cat_1(B)) | (~v2_cat_1(C)) | (~l1_cat_1(C))) | m2_cat_1(k11_isocat_2(A, B, C, D), A, B)))), rewrite((((~m2_cat_1(D, A, k11_cat_2(B, C))) | (~v2_cat_1(A)) | (~l1_cat_1(A)) | (~v2_cat_1(B)) | (~l1_cat_1(B)) | (~v2_cat_1(C)) | (~l1_cat_1(C))) | m2_cat_1(k11_isocat_2(A, B, C, D), A, B)) <=> (m2_cat_1(k11_isocat_2(A, B, C, D), A, B) | (~m2_cat_1(D, A, k11_cat_2(B, C))) | (~v2_cat_1(A)) | (~l1_cat_1(A)) | (~v2_cat_1(B)) | (~l1_cat_1(B)) | (~v2_cat_1(C)) | (~l1_cat_1(C)))), (((~(v2_cat_1(A) & l1_cat_1(A) & v2_cat_1(B) & l1_cat_1(B) & v2_cat_1(C) & l1_cat_1(C) & m2_cat_1(D, A, k11_cat_2(B, C)))) | m2_cat_1(k11_isocat_2(A, B, C, D), A, B)) <=> (m2_cat_1(k11_isocat_2(A, B, C, D), A, B) | (~m2_cat_1(D, A, k11_cat_2(B, C))) | (~v2_cat_1(A)) | (~l1_cat_1(A)) | (~v2_cat_1(B)) | (~l1_cat_1(B)) | (~v2_cat_1(C)) | (~l1_cat_1(C)))))),
% 36.78/23.47      inference(bind,[status(th)],[])).
% 36.78/23.47  tff(176,plain,
% 36.78/23.47      (![A: $i, B: $i, C: $i, D: $i] : ((~(v2_cat_1(A) & l1_cat_1(A) & v2_cat_1(B) & l1_cat_1(B) & v2_cat_1(C) & l1_cat_1(C) & m2_cat_1(D, A, k11_cat_2(B, C)))) | m2_cat_1(k11_isocat_2(A, B, C, D), A, B)) <=> ![A: $i, B: $i, C: $i, D: $i] : (m2_cat_1(k11_isocat_2(A, B, C, D), A, B) | (~m2_cat_1(D, A, k11_cat_2(B, C))) | (~v2_cat_1(A)) | (~l1_cat_1(A)) | (~v2_cat_1(B)) | (~l1_cat_1(B)) | (~v2_cat_1(C)) | (~l1_cat_1(C)))),
% 36.78/23.47      inference(quant_intro,[status(thm)],[175])).
% 36.78/23.47  tff(177,plain,
% 36.78/23.47      (![A: $i, B: $i, C: $i, D: $i] : ((~(v2_cat_1(A) & l1_cat_1(A) & v2_cat_1(B) & l1_cat_1(B) & v2_cat_1(C) & l1_cat_1(C) & m2_cat_1(D, A, k11_cat_2(B, C)))) | m2_cat_1(k11_isocat_2(A, B, C, D), A, B)) <=> ![A: $i, B: $i, C: $i, D: $i] : ((~(v2_cat_1(A) & l1_cat_1(A) & v2_cat_1(B) & l1_cat_1(B) & v2_cat_1(C) & l1_cat_1(C) & m2_cat_1(D, A, k11_cat_2(B, C)))) | m2_cat_1(k11_isocat_2(A, B, C, D), A, B))),
% 36.78/23.47      inference(rewrite,[status(thm)],[])).
% 36.78/23.47  tff(178,plain,
% 36.78/23.47      (^[A: $i, B: $i, C: $i, D: $i] : 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)) & v2_cat_1(C)) <=> ((v2_cat_1(A) & l1_cat_1(A) & v2_cat_1(B) & l1_cat_1(B)) & v2_cat_1(C)))), rewrite(((v2_cat_1(A) & l1_cat_1(A) & v2_cat_1(B) & l1_cat_1(B)) & v2_cat_1(C)) <=> (v2_cat_1(A) & l1_cat_1(A) & v2_cat_1(B) & l1_cat_1(B) & v2_cat_1(C))), (((((v2_cat_1(A) & l1_cat_1(A)) & v2_cat_1(B)) & l1_cat_1(B)) & v2_cat_1(C)) <=> (v2_cat_1(A) & l1_cat_1(A) & v2_cat_1(B) & l1_cat_1(B) & v2_cat_1(C)))), ((((((v2_cat_1(A) & l1_cat_1(A)) & v2_cat_1(B)) & l1_cat_1(B)) & v2_cat_1(C)) & l1_cat_1(C)) <=> ((v2_cat_1(A) & l1_cat_1(A) & v2_cat_1(B) & l1_cat_1(B) & v2_cat_1(C)) & l1_cat_1(C)))), rewrite(((v2_cat_1(A) & l1_cat_1(A) & v2_cat_1(B) & l1_cat_1(B) & v2_cat_1(C)) & l1_cat_1(C)) <=> (v2_cat_1(A) & l1_cat_1(A) & v2_cat_1(B) & l1_cat_1(B) & v2_cat_1(C) & l1_cat_1(C))), ((((((v2_cat_1(A) & l1_cat_1(A)) & v2_cat_1(B)) & l1_cat_1(B)) & v2_cat_1(C)) & l1_cat_1(C)) <=> (v2_cat_1(A) & l1_cat_1(A) & v2_cat_1(B) & l1_cat_1(B) & v2_cat_1(C) & l1_cat_1(C)))), (((((((v2_cat_1(A) & l1_cat_1(A)) & v2_cat_1(B)) & l1_cat_1(B)) & v2_cat_1(C)) & l1_cat_1(C)) & m2_cat_1(D, A, k11_cat_2(B, C))) <=> ((v2_cat_1(A) & l1_cat_1(A) & v2_cat_1(B) & l1_cat_1(B) & v2_cat_1(C) & l1_cat_1(C)) & m2_cat_1(D, A, k11_cat_2(B, C))))), rewrite(((v2_cat_1(A) & l1_cat_1(A) & v2_cat_1(B) & l1_cat_1(B) & v2_cat_1(C) & l1_cat_1(C)) & m2_cat_1(D, A, k11_cat_2(B, C))) <=> (v2_cat_1(A) & l1_cat_1(A) & v2_cat_1(B) & l1_cat_1(B) & v2_cat_1(C) & l1_cat_1(C) & m2_cat_1(D, A, k11_cat_2(B, C)))), (((((((v2_cat_1(A) & l1_cat_1(A)) & v2_cat_1(B)) & l1_cat_1(B)) & v2_cat_1(C)) & l1_cat_1(C)) & m2_cat_1(D, A, k11_cat_2(B, C))) <=> (v2_cat_1(A) & l1_cat_1(A) & v2_cat_1(B) & l1_cat_1(B) & v2_cat_1(C) & l1_cat_1(C) & m2_cat_1(D, A, k11_cat_2(B, C))))), ((((((((v2_cat_1(A) & l1_cat_1(A)) & v2_cat_1(B)) & l1_cat_1(B)) & v2_cat_1(C)) & l1_cat_1(C)) & m2_cat_1(D, A, k11_cat_2(B, C))) => m2_cat_1(k11_isocat_2(A, B, C, D), A, B)) <=> ((v2_cat_1(A) & l1_cat_1(A) & v2_cat_1(B) & l1_cat_1(B) & v2_cat_1(C) & l1_cat_1(C) & m2_cat_1(D, A, k11_cat_2(B, C))) => m2_cat_1(k11_isocat_2(A, B, C, D), A, B)))), rewrite(((v2_cat_1(A) & l1_cat_1(A) & v2_cat_1(B) & l1_cat_1(B) & v2_cat_1(C) & l1_cat_1(C) & m2_cat_1(D, A, k11_cat_2(B, C))) => m2_cat_1(k11_isocat_2(A, B, C, D), A, B)) <=> ((~(v2_cat_1(A) & l1_cat_1(A) & v2_cat_1(B) & l1_cat_1(B) & v2_cat_1(C) & l1_cat_1(C) & m2_cat_1(D, A, k11_cat_2(B, C)))) | m2_cat_1(k11_isocat_2(A, B, C, D), A, B))), ((((((((v2_cat_1(A) & l1_cat_1(A)) & v2_cat_1(B)) & l1_cat_1(B)) & v2_cat_1(C)) & l1_cat_1(C)) & m2_cat_1(D, A, k11_cat_2(B, C))) => m2_cat_1(k11_isocat_2(A, B, C, D), A, B)) <=> ((~(v2_cat_1(A) & l1_cat_1(A) & v2_cat_1(B) & l1_cat_1(B) & v2_cat_1(C) & l1_cat_1(C) & m2_cat_1(D, A, k11_cat_2(B, C)))) | m2_cat_1(k11_isocat_2(A, B, C, D), A, B))))),
% 36.78/23.47      inference(bind,[status(th)],[])).
% 36.78/23.47  tff(179,plain,
% 36.78/23.47      (![A: $i, B: $i, C: $i, D: $i] : (((((((v2_cat_1(A) & l1_cat_1(A)) & v2_cat_1(B)) & l1_cat_1(B)) & v2_cat_1(C)) & l1_cat_1(C)) & m2_cat_1(D, A, k11_cat_2(B, C))) => m2_cat_1(k11_isocat_2(A, B, C, D), A, B)) <=> ![A: $i, B: $i, C: $i, D: $i] : ((~(v2_cat_1(A) & l1_cat_1(A) & v2_cat_1(B) & l1_cat_1(B) & v2_cat_1(C) & l1_cat_1(C) & m2_cat_1(D, A, k11_cat_2(B, C)))) | m2_cat_1(k11_isocat_2(A, B, C, D), A, B))),
% 36.78/23.47      inference(quant_intro,[status(thm)],[178])).
% 36.78/23.47  tff(180,axiom,(![A: $i, B: $i, C: $i, D: $i] : (((((((v2_cat_1(A) & l1_cat_1(A)) & v2_cat_1(B)) & l1_cat_1(B)) & v2_cat_1(C)) & l1_cat_1(C)) & m2_cat_1(D, A, k11_cat_2(B, C))) => m2_cat_1(k11_isocat_2(A, B, C, D), A, B))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','dt_k11_isocat_2')).
% 36.78/23.47  tff(181,plain,
% 36.78/23.47      (![A: $i, B: $i, C: $i, D: $i] : ((~(v2_cat_1(A) & l1_cat_1(A) & v2_cat_1(B) & l1_cat_1(B) & v2_cat_1(C) & l1_cat_1(C) & m2_cat_1(D, A, k11_cat_2(B, C)))) | m2_cat_1(k11_isocat_2(A, B, C, D), A, B))),
% 36.78/23.47      inference(modus_ponens,[status(thm)],[180, 179])).
% 36.78/23.47  tff(182,plain,
% 36.78/23.47      (![A: $i, B: $i, C: $i, D: $i] : ((~(v2_cat_1(A) & l1_cat_1(A) & v2_cat_1(B) & l1_cat_1(B) & v2_cat_1(C) & l1_cat_1(C) & m2_cat_1(D, A, k11_cat_2(B, C)))) | m2_cat_1(k11_isocat_2(A, B, C, D), A, B))),
% 36.78/23.47      inference(modus_ponens,[status(thm)],[181, 177])).
% 36.78/23.47  tff(183,plain,(
% 36.78/23.47      ![A: $i, B: $i, C: $i, D: $i] : ((~(v2_cat_1(A) & l1_cat_1(A) & v2_cat_1(B) & l1_cat_1(B) & v2_cat_1(C) & l1_cat_1(C) & m2_cat_1(D, A, k11_cat_2(B, C)))) | m2_cat_1(k11_isocat_2(A, B, C, D), A, B))),
% 36.78/23.47      inference(skolemize,[status(sab)],[182])).
% 36.78/23.47  tff(184,plain,
% 36.78/23.47      (![A: $i, B: $i, C: $i, D: $i] : (m2_cat_1(k11_isocat_2(A, B, C, D), A, B) | (~m2_cat_1(D, A, k11_cat_2(B, C))) | (~v2_cat_1(A)) | (~l1_cat_1(A)) | (~v2_cat_1(B)) | (~l1_cat_1(B)) | (~v2_cat_1(C)) | (~l1_cat_1(C)))),
% 36.78/23.47      inference(modus_ponens,[status(thm)],[183, 176])).
% 36.78/23.47  tff(185,plain,
% 36.78/23.47      (![A: $i, B: $i, C: $i, D: $i] : (m2_cat_1(k11_isocat_2(A, B, C, D), A, B) | (~m2_cat_1(D, A, k11_cat_2(B, C))) | (~v2_cat_1(A)) | (~l1_cat_1(A)) | (~v2_cat_1(B)) | (~l1_cat_1(B)) | (~v2_cat_1(C)) | (~l1_cat_1(C)))),
% 36.78/23.47      inference(modus_ponens,[status(thm)],[184, 174])).
% 36.78/23.47  tff(186,plain,
% 36.78/23.47      (((~![A: $i, B: $i, C: $i, D: $i] : (m2_cat_1(k11_isocat_2(A, B, C, D), A, B) | (~m2_cat_1(D, A, k11_cat_2(B, C))) | (~v2_cat_1(A)) | (~l1_cat_1(A)) | (~v2_cat_1(B)) | (~l1_cat_1(B)) | (~v2_cat_1(C)) | (~l1_cat_1(C)))) | ((~m2_cat_1(D!3, A!0, k11_cat_2(B!1, C!2))) | (~v2_cat_1(A!0)) | (~l1_cat_1(A!0)) | m2_cat_1(k11_isocat_2(A!0, B!1, C!2, D!3), A!0, B!1) | (~v2_cat_1(B!1)) | (~l1_cat_1(B!1)) | (~v2_cat_1(C!2)) | (~l1_cat_1(C!2)))) <=> ((~![A: $i, B: $i, C: $i, D: $i] : (m2_cat_1(k11_isocat_2(A, B, C, D), A, B) | (~m2_cat_1(D, A, k11_cat_2(B, C))) | (~v2_cat_1(A)) | (~l1_cat_1(A)) | (~v2_cat_1(B)) | (~l1_cat_1(B)) | (~v2_cat_1(C)) | (~l1_cat_1(C)))) | (~m2_cat_1(D!3, A!0, k11_cat_2(B!1, C!2))) | (~v2_cat_1(A!0)) | (~l1_cat_1(A!0)) | m2_cat_1(k11_isocat_2(A!0, B!1, C!2, D!3), A!0, B!1) | (~v2_cat_1(B!1)) | (~l1_cat_1(B!1)) | (~v2_cat_1(C!2)) | (~l1_cat_1(C!2)))),
% 36.78/23.47      inference(rewrite,[status(thm)],[])).
% 36.78/23.47  tff(187,plain,
% 36.78/23.47      ((m2_cat_1(k11_isocat_2(A!0, B!1, C!2, D!3), A!0, B!1) | (~m2_cat_1(D!3, 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))) | (~v2_cat_1(A!0)) | (~l1_cat_1(A!0)) | m2_cat_1(k11_isocat_2(A!0, B!1, C!2, D!3), A!0, B!1) | (~v2_cat_1(B!1)) | (~l1_cat_1(B!1)) | (~v2_cat_1(C!2)) | (~l1_cat_1(C!2)))),
% 36.78/23.47      inference(rewrite,[status(thm)],[])).
% 36.78/23.47  tff(188,plain,
% 36.78/23.47      (((~![A: $i, B: $i, C: $i, D: $i] : (m2_cat_1(k11_isocat_2(A, B, C, D), A, B) | (~m2_cat_1(D, A, k11_cat_2(B, C))) | (~v2_cat_1(A)) | (~l1_cat_1(A)) | (~v2_cat_1(B)) | (~l1_cat_1(B)) | (~v2_cat_1(C)) | (~l1_cat_1(C)))) | (m2_cat_1(k11_isocat_2(A!0, B!1, C!2, D!3), A!0, B!1) | (~m2_cat_1(D!3, 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)))) <=> ((~![A: $i, B: $i, C: $i, D: $i] : (m2_cat_1(k11_isocat_2(A, B, C, D), A, B) | (~m2_cat_1(D, A, k11_cat_2(B, C))) | (~v2_cat_1(A)) | (~l1_cat_1(A)) | (~v2_cat_1(B)) | (~l1_cat_1(B)) | (~v2_cat_1(C)) | (~l1_cat_1(C)))) | ((~m2_cat_1(D!3, A!0, k11_cat_2(B!1, C!2))) | (~v2_cat_1(A!0)) | (~l1_cat_1(A!0)) | m2_cat_1(k11_isocat_2(A!0, B!1, C!2, D!3), A!0, B!1) | (~v2_cat_1(B!1)) | (~l1_cat_1(B!1)) | (~v2_cat_1(C!2)) | (~l1_cat_1(C!2))))),
% 36.78/23.47      inference(monotonicity,[status(thm)],[187])).
% 36.78/23.47  tff(189,plain,
% 36.78/23.47      (((~![A: $i, B: $i, C: $i, D: $i] : (m2_cat_1(k11_isocat_2(A, B, C, D), A, B) | (~m2_cat_1(D, A, k11_cat_2(B, C))) | (~v2_cat_1(A)) | (~l1_cat_1(A)) | (~v2_cat_1(B)) | (~l1_cat_1(B)) | (~v2_cat_1(C)) | (~l1_cat_1(C)))) | (m2_cat_1(k11_isocat_2(A!0, B!1, C!2, D!3), A!0, B!1) | (~m2_cat_1(D!3, 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)))) <=> ((~![A: $i, B: $i, C: $i, D: $i] : (m2_cat_1(k11_isocat_2(A, B, C, D), A, B) | (~m2_cat_1(D, A, k11_cat_2(B, C))) | (~v2_cat_1(A)) | (~l1_cat_1(A)) | (~v2_cat_1(B)) | (~l1_cat_1(B)) | (~v2_cat_1(C)) | (~l1_cat_1(C)))) | (~m2_cat_1(D!3, A!0, k11_cat_2(B!1, C!2))) | (~v2_cat_1(A!0)) | (~l1_cat_1(A!0)) | m2_cat_1(k11_isocat_2(A!0, B!1, C!2, D!3), A!0, B!1) | (~v2_cat_1(B!1)) | (~l1_cat_1(B!1)) | (~v2_cat_1(C!2)) | (~l1_cat_1(C!2)))),
% 36.78/23.47      inference(transitivity,[status(thm)],[188, 186])).
% 36.78/23.47  tff(190,plain,
% 36.78/23.47      ((~![A: $i, B: $i, C: $i, D: $i] : (m2_cat_1(k11_isocat_2(A, B, C, D), A, B) | (~m2_cat_1(D, A, k11_cat_2(B, C))) | (~v2_cat_1(A)) | (~l1_cat_1(A)) | (~v2_cat_1(B)) | (~l1_cat_1(B)) | (~v2_cat_1(C)) | (~l1_cat_1(C)))) | (m2_cat_1(k11_isocat_2(A!0, B!1, C!2, D!3), A!0, B!1) | (~m2_cat_1(D!3, 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)))),
% 36.78/23.48      inference(quant_inst,[status(thm)],[])).
% 36.78/23.48  tff(191,plain,
% 36.78/23.48      ((~![A: $i, B: $i, C: $i, D: $i] : (m2_cat_1(k11_isocat_2(A, B, C, D), A, B) | (~m2_cat_1(D, A, k11_cat_2(B, C))) | (~v2_cat_1(A)) | (~l1_cat_1(A)) | (~v2_cat_1(B)) | (~l1_cat_1(B)) | (~v2_cat_1(C)) | (~l1_cat_1(C)))) | (~m2_cat_1(D!3, A!0, k11_cat_2(B!1, C!2))) | (~v2_cat_1(A!0)) | (~l1_cat_1(A!0)) | m2_cat_1(k11_isocat_2(A!0, B!1, C!2, D!3), A!0, B!1) | (~v2_cat_1(B!1)) | (~l1_cat_1(B!1)) | (~v2_cat_1(C!2)) | (~l1_cat_1(C!2))),
% 36.78/23.48      inference(modus_ponens,[status(thm)],[190, 189])).
% 36.78/23.48  tff(192,plain,
% 36.78/23.48      (m2_cat_1(k11_isocat_2(A!0, B!1, C!2, D!3), A!0, B!1)),
% 36.78/23.48      inference(unit_resolution,[status(thm)],[191, 71, 70, 40, 39, 38, 37, 69, 185])).
% 36.78/23.48  tff(193,plain,
% 36.78/23.48      (((~![A: $i, B: $i, C: $i] : ((k7_nattra_1(A, B, C) = k4_nattra_1(A, B, C)) | (~m2_cat_1(C, A, B)) | (~v2_cat_1(A)) | (~l1_cat_1(A)) | (~v2_cat_1(B)) | (~l1_cat_1(B)))) | ((~v2_cat_1(A!0)) | (~l1_cat_1(A!0)) | (~v2_cat_1(B!1)) | (~l1_cat_1(B!1)) | (~m2_cat_1(k11_isocat_2(A!0, B!1, C!2, D!3), A!0, B!1)) | (k7_nattra_1(A!0, B!1, k11_isocat_2(A!0, B!1, C!2, D!3)) = k4_nattra_1(A!0, B!1, k11_isocat_2(A!0, B!1, C!2, D!3))))) <=> ((~![A: $i, B: $i, C: $i] : ((k7_nattra_1(A, B, C) = k4_nattra_1(A, B, C)) | (~m2_cat_1(C, A, B)) | (~v2_cat_1(A)) | (~l1_cat_1(A)) | (~v2_cat_1(B)) | (~l1_cat_1(B)))) | (~v2_cat_1(A!0)) | (~l1_cat_1(A!0)) | (~v2_cat_1(B!1)) | (~l1_cat_1(B!1)) | (~m2_cat_1(k11_isocat_2(A!0, B!1, C!2, D!3), A!0, B!1)) | (k7_nattra_1(A!0, B!1, k11_isocat_2(A!0, B!1, C!2, D!3)) = k4_nattra_1(A!0, B!1, k11_isocat_2(A!0, B!1, C!2, D!3))))),
% 36.78/23.48      inference(rewrite,[status(thm)],[])).
% 36.78/23.48  tff(194,plain,
% 36.78/23.48      (((k7_nattra_1(A!0, B!1, k11_isocat_2(A!0, B!1, C!2, D!3)) = k4_nattra_1(A!0, B!1, k11_isocat_2(A!0, B!1, C!2, D!3))) | (~m2_cat_1(k11_isocat_2(A!0, B!1, C!2, D!3), A!0, B!1)) | (~v2_cat_1(A!0)) | (~l1_cat_1(A!0)) | (~v2_cat_1(B!1)) | (~l1_cat_1(B!1))) <=> ((~v2_cat_1(A!0)) | (~l1_cat_1(A!0)) | (~v2_cat_1(B!1)) | (~l1_cat_1(B!1)) | (~m2_cat_1(k11_isocat_2(A!0, B!1, C!2, D!3), A!0, B!1)) | (k7_nattra_1(A!0, B!1, k11_isocat_2(A!0, B!1, C!2, D!3)) = k4_nattra_1(A!0, B!1, k11_isocat_2(A!0, B!1, C!2, D!3))))),
% 36.78/23.48      inference(rewrite,[status(thm)],[])).
% 36.78/23.48  tff(195,plain,
% 36.78/23.48      (((~![A: $i, B: $i, C: $i] : ((k7_nattra_1(A, B, C) = k4_nattra_1(A, B, C)) | (~m2_cat_1(C, A, B)) | (~v2_cat_1(A)) | (~l1_cat_1(A)) | (~v2_cat_1(B)) | (~l1_cat_1(B)))) | ((k7_nattra_1(A!0, B!1, k11_isocat_2(A!0, B!1, C!2, D!3)) = k4_nattra_1(A!0, B!1, k11_isocat_2(A!0, B!1, C!2, D!3))) | (~m2_cat_1(k11_isocat_2(A!0, B!1, C!2, D!3), A!0, B!1)) | (~v2_cat_1(A!0)) | (~l1_cat_1(A!0)) | (~v2_cat_1(B!1)) | (~l1_cat_1(B!1)))) <=> ((~![A: $i, B: $i, C: $i] : ((k7_nattra_1(A, B, C) = k4_nattra_1(A, B, C)) | (~m2_cat_1(C, A, B)) | (~v2_cat_1(A)) | (~l1_cat_1(A)) | (~v2_cat_1(B)) | (~l1_cat_1(B)))) | ((~v2_cat_1(A!0)) | (~l1_cat_1(A!0)) | (~v2_cat_1(B!1)) | (~l1_cat_1(B!1)) | (~m2_cat_1(k11_isocat_2(A!0, B!1, C!2, D!3), A!0, B!1)) | (k7_nattra_1(A!0, B!1, k11_isocat_2(A!0, B!1, C!2, D!3)) = k4_nattra_1(A!0, B!1, k11_isocat_2(A!0, B!1, C!2, D!3)))))),
% 36.78/23.48      inference(monotonicity,[status(thm)],[194])).
% 36.78/23.48  tff(196,plain,
% 36.78/23.48      (((~![A: $i, B: $i, C: $i] : ((k7_nattra_1(A, B, C) = k4_nattra_1(A, B, C)) | (~m2_cat_1(C, A, B)) | (~v2_cat_1(A)) | (~l1_cat_1(A)) | (~v2_cat_1(B)) | (~l1_cat_1(B)))) | ((k7_nattra_1(A!0, B!1, k11_isocat_2(A!0, B!1, C!2, D!3)) = k4_nattra_1(A!0, B!1, k11_isocat_2(A!0, B!1, C!2, D!3))) | (~m2_cat_1(k11_isocat_2(A!0, B!1, C!2, D!3), A!0, B!1)) | (~v2_cat_1(A!0)) | (~l1_cat_1(A!0)) | (~v2_cat_1(B!1)) | (~l1_cat_1(B!1)))) <=> ((~![A: $i, B: $i, C: $i] : ((k7_nattra_1(A, B, C) = k4_nattra_1(A, B, C)) | (~m2_cat_1(C, A, B)) | (~v2_cat_1(A)) | (~l1_cat_1(A)) | (~v2_cat_1(B)) | (~l1_cat_1(B)))) | (~v2_cat_1(A!0)) | (~l1_cat_1(A!0)) | (~v2_cat_1(B!1)) | (~l1_cat_1(B!1)) | (~m2_cat_1(k11_isocat_2(A!0, B!1, C!2, D!3), A!0, B!1)) | (k7_nattra_1(A!0, B!1, k11_isocat_2(A!0, B!1, C!2, D!3)) = k4_nattra_1(A!0, B!1, k11_isocat_2(A!0, B!1, C!2, D!3))))),
% 36.78/23.48      inference(transitivity,[status(thm)],[195, 193])).
% 36.78/23.48  tff(197,plain,
% 36.78/23.48      ((~![A: $i, B: $i, C: $i] : ((k7_nattra_1(A, B, C) = k4_nattra_1(A, B, C)) | (~m2_cat_1(C, A, B)) | (~v2_cat_1(A)) | (~l1_cat_1(A)) | (~v2_cat_1(B)) | (~l1_cat_1(B)))) | ((k7_nattra_1(A!0, B!1, k11_isocat_2(A!0, B!1, C!2, D!3)) = k4_nattra_1(A!0, B!1, k11_isocat_2(A!0, B!1, C!2, D!3))) | (~m2_cat_1(k11_isocat_2(A!0, B!1, C!2, D!3), A!0, B!1)) | (~v2_cat_1(A!0)) | (~l1_cat_1(A!0)) | (~v2_cat_1(B!1)) | (~l1_cat_1(B!1)))),
% 36.78/23.48      inference(quant_inst,[status(thm)],[])).
% 36.78/23.48  tff(198,plain,
% 36.78/23.48      ((~![A: $i, B: $i, C: $i] : ((k7_nattra_1(A, B, C) = k4_nattra_1(A, B, C)) | (~m2_cat_1(C, A, B)) | (~v2_cat_1(A)) | (~l1_cat_1(A)) | (~v2_cat_1(B)) | (~l1_cat_1(B)))) | (~v2_cat_1(A!0)) | (~l1_cat_1(A!0)) | (~v2_cat_1(B!1)) | (~l1_cat_1(B!1)) | (~m2_cat_1(k11_isocat_2(A!0, B!1, C!2, D!3), A!0, B!1)) | (k7_nattra_1(A!0, B!1, k11_isocat_2(A!0, B!1, C!2, D!3)) = k4_nattra_1(A!0, B!1, k11_isocat_2(A!0, B!1, C!2, D!3)))),
% 36.78/23.48      inference(modus_ponens,[status(thm)],[197, 196])).
% 36.78/23.48  tff(199,plain,
% 36.78/23.48      (k7_nattra_1(A!0, B!1, k11_isocat_2(A!0, B!1, C!2, D!3)) = k4_nattra_1(A!0, B!1, k11_isocat_2(A!0, B!1, C!2, D!3))),
% 36.78/23.48      inference(unit_resolution,[status(thm)],[198, 71, 70, 40, 39, 67, 192])).
% 36.78/23.48  tff(200,plain,
% 36.78/23.48      (k4_nattra_1(A!0, B!1, k11_isocat_2(A!0, B!1, C!2, D!3)) = k7_nattra_1(A!0, B!1, k11_isocat_2(A!0, B!1, C!2, D!3))),
% 36.78/23.48      inference(symmetry,[status(thm)],[199])).
% 36.78/23.48  tff(201,plain,
% 36.78/23.48      (r4_nattra_1(u1_cat_1(A!0), u2_cat_1(B!1), u1_cat_1(A!0), u2_cat_1(B!1), k4_nattra_1(A!0, B!1, k11_isocat_2(A!0, B!1, C!2, D!3)), k6_isocat_1(A!0, k11_cat_2(B!1, C!2), B!1, D!3, D!3, k7_nattra_1(A!0, k11_cat_2(B!1, C!2), D!3), 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), k7_nattra_1(A!0, B!1, k11_isocat_2(A!0, B!1, C!2, D!3)), k13_isocat_2(A!0, B!1, C!2, D!3, D!3, k7_nattra_1(A!0, k11_cat_2(B!1, C!2), D!3)))),
% 36.78/23.48      inference(monotonicity,[status(thm)],[200, 172])).
% 36.78/23.48  tff(202,plain,
% 36.78/23.48      (v1_funct_1(k6_isocat_1(A!0, k11_cat_2(B!1, C!2), B!1, D!3, D!3, k7_nattra_1(A!0, k11_cat_2(B!1, C!2), D!3), k16_cat_2(B!1, C!2))) <=> v1_funct_1(k13_isocat_2(A!0, B!1, C!2, D!3, D!3, k7_nattra_1(A!0, k11_cat_2(B!1, C!2), D!3)))),
% 36.78/23.48      inference(monotonicity,[status(thm)],[172])).
% 36.78/23.48  tff(203,plain,
% 36.78/23.48      (v1_funct_1(k13_isocat_2(A!0, B!1, C!2, D!3, D!3, k7_nattra_1(A!0, k11_cat_2(B!1, C!2), D!3))) <=> v1_funct_1(k6_isocat_1(A!0, k11_cat_2(B!1, C!2), B!1, D!3, D!3, k7_nattra_1(A!0, k11_cat_2(B!1, C!2), D!3), k16_cat_2(B!1, C!2)))),
% 36.78/23.48      inference(symmetry,[status(thm)],[202])).
% 36.78/23.48  tff(204,plain,
% 36.78/23.48      (k13_isocat_2(A!0, B!1, C!2, D!3, D!3, k7_nattra_1(A!0, k11_cat_2(B!1, C!2), D!3)) = k13_isocat_2(A!0, B!1, C!2, D!3, D!3, k4_nattra_1(A!0, k11_cat_2(B!1, C!2), D!3))),
% 36.78/23.48      inference(symmetry,[status(thm)],[81])).
% 36.78/23.48  tff(205,plain,
% 36.78/23.48      (m2_nattra_1(k13_isocat_2(A!0, B!1, C!2, D!3, D!3, k7_nattra_1(A!0, k11_cat_2(B!1, C!2), D!3)), A!0, B!1, k11_isocat_2(A!0, B!1, C!2, D!3), k11_isocat_2(A!0, B!1, C!2, D!3)) <=> m2_nattra_1(k13_isocat_2(A!0, B!1, C!2, D!3, D!3, k4_nattra_1(A!0, k11_cat_2(B!1, C!2), D!3)), A!0, B!1, k11_isocat_2(A!0, B!1, C!2, D!3), k11_isocat_2(A!0, B!1, C!2, D!3))),
% 36.78/23.48      inference(monotonicity,[status(thm)],[204])).
% 36.78/23.48  tff(206,plain,
% 36.78/23.48      (m2_nattra_1(k13_isocat_2(A!0, B!1, C!2, D!3, D!3, k4_nattra_1(A!0, k11_cat_2(B!1, C!2), D!3)), A!0, B!1, k11_isocat_2(A!0, B!1, C!2, D!3), k11_isocat_2(A!0, B!1, C!2, D!3)) <=> m2_nattra_1(k13_isocat_2(A!0, B!1, C!2, D!3, D!3, k7_nattra_1(A!0, k11_cat_2(B!1, C!2), D!3)), A!0, B!1, k11_isocat_2(A!0, B!1, C!2, D!3), k11_isocat_2(A!0, B!1, C!2, D!3))),
% 36.78/23.48      inference(symmetry,[status(thm)],[205])).
% 36.78/23.48  tff(207,plain,
% 36.78/23.48      (^[A: $i, B: $i, C: $i, D: $i, E: $i, F: $i] : refl((m2_nattra_1(k13_isocat_2(A, B, C, D, E, F), A, B, k11_isocat_2(A, B, C, D), k11_isocat_2(A, B, C, E)) | (~m2_nattra_1(F, A, k11_cat_2(B, C), D, E)) | (~v2_cat_1(C)) | (~l1_cat_1(C)) | (~v2_cat_1(B)) | (~l1_cat_1(B)) | (~v2_cat_1(A)) | (~l1_cat_1(A)) | (~m2_cat_1(D, A, k11_cat_2(B, C))) | (~m2_cat_1(E, A, k11_cat_2(B, C)))) <=> (m2_nattra_1(k13_isocat_2(A, B, C, D, E, F), A, B, k11_isocat_2(A, B, C, D), k11_isocat_2(A, B, C, E)) | (~m2_nattra_1(F, A, k11_cat_2(B, C), D, E)) | (~v2_cat_1(C)) | (~l1_cat_1(C)) | (~v2_cat_1(B)) | (~l1_cat_1(B)) | (~v2_cat_1(A)) | (~l1_cat_1(A)) | (~m2_cat_1(D, A, k11_cat_2(B, C))) | (~m2_cat_1(E, A, k11_cat_2(B, C)))))),
% 36.78/23.48      inference(bind,[status(th)],[])).
% 36.78/23.48  tff(208,plain,
% 36.78/23.48      (![A: $i, B: $i, C: $i, D: $i, E: $i, F: $i] : (m2_nattra_1(k13_isocat_2(A, B, C, D, E, F), A, B, k11_isocat_2(A, B, C, D), k11_isocat_2(A, B, C, E)) | (~m2_nattra_1(F, A, k11_cat_2(B, C), D, E)) | (~v2_cat_1(C)) | (~l1_cat_1(C)) | (~v2_cat_1(B)) | (~l1_cat_1(B)) | (~v2_cat_1(A)) | (~l1_cat_1(A)) | (~m2_cat_1(D, A, k11_cat_2(B, C))) | (~m2_cat_1(E, A, k11_cat_2(B, C)))) <=> ![A: $i, B: $i, C: $i, D: $i, E: $i, F: $i] : (m2_nattra_1(k13_isocat_2(A, B, C, D, E, F), A, B, k11_isocat_2(A, B, C, D), k11_isocat_2(A, B, C, E)) | (~m2_nattra_1(F, A, k11_cat_2(B, C), D, E)) | (~v2_cat_1(C)) | (~l1_cat_1(C)) | (~v2_cat_1(B)) | (~l1_cat_1(B)) | (~v2_cat_1(A)) | (~l1_cat_1(A)) | (~m2_cat_1(D, A, k11_cat_2(B, C))) | (~m2_cat_1(E, A, k11_cat_2(B, C))))),
% 36.78/23.48      inference(quant_intro,[status(thm)],[207])).
% 36.78/23.48  tff(209,plain,
% 36.78/23.48      (^[A: $i, B: $i, C: $i, D: $i, E: $i, F: $i] : trans(monotonicity(trans(monotonicity(rewrite((v2_cat_1(A) & l1_cat_1(A) & v2_cat_1(B) & l1_cat_1(B) & v2_cat_1(C) & l1_cat_1(C) & m2_cat_1(D, A, k11_cat_2(B, C)) & m2_cat_1(E, A, k11_cat_2(B, C)) & m2_nattra_1(F, A, k11_cat_2(B, C), D, E)) <=> (~((~m2_nattra_1(F, A, k11_cat_2(B, C), D, E)) | (~v2_cat_1(C)) | (~l1_cat_1(C)) | (~v2_cat_1(B)) | (~l1_cat_1(B)) | (~v2_cat_1(A)) | (~l1_cat_1(A)) | (~m2_cat_1(D, A, k11_cat_2(B, C))) | (~m2_cat_1(E, A, k11_cat_2(B, C)))))), ((~(v2_cat_1(A) & l1_cat_1(A) & v2_cat_1(B) & l1_cat_1(B) & v2_cat_1(C) & l1_cat_1(C) & m2_cat_1(D, A, k11_cat_2(B, C)) & m2_cat_1(E, A, k11_cat_2(B, C)) & m2_nattra_1(F, A, k11_cat_2(B, C), D, E))) <=> (~(~((~m2_nattra_1(F, A, k11_cat_2(B, C), D, E)) | (~v2_cat_1(C)) | (~l1_cat_1(C)) | (~v2_cat_1(B)) | (~l1_cat_1(B)) | (~v2_cat_1(A)) | (~l1_cat_1(A)) | (~m2_cat_1(D, A, k11_cat_2(B, C))) | (~m2_cat_1(E, A, k11_cat_2(B, C)))))))), rewrite((~(~((~m2_nattra_1(F, A, k11_cat_2(B, C), D, E)) | (~v2_cat_1(C)) | (~l1_cat_1(C)) | (~v2_cat_1(B)) | (~l1_cat_1(B)) | (~v2_cat_1(A)) | (~l1_cat_1(A)) | (~m2_cat_1(D, A, k11_cat_2(B, C))) | (~m2_cat_1(E, A, k11_cat_2(B, C)))))) <=> ((~m2_nattra_1(F, A, k11_cat_2(B, C), D, E)) | (~v2_cat_1(C)) | (~l1_cat_1(C)) | (~v2_cat_1(B)) | (~l1_cat_1(B)) | (~v2_cat_1(A)) | (~l1_cat_1(A)) | (~m2_cat_1(D, A, k11_cat_2(B, C))) | (~m2_cat_1(E, A, k11_cat_2(B, C))))), ((~(v2_cat_1(A) & l1_cat_1(A) & v2_cat_1(B) & l1_cat_1(B) & v2_cat_1(C) & l1_cat_1(C) & m2_cat_1(D, A, k11_cat_2(B, C)) & m2_cat_1(E, A, k11_cat_2(B, C)) & m2_nattra_1(F, A, k11_cat_2(B, C), D, E))) <=> ((~m2_nattra_1(F, A, k11_cat_2(B, C), D, E)) | (~v2_cat_1(C)) | (~l1_cat_1(C)) | (~v2_cat_1(B)) | (~l1_cat_1(B)) | (~v2_cat_1(A)) | (~l1_cat_1(A)) | (~m2_cat_1(D, A, k11_cat_2(B, C))) | (~m2_cat_1(E, A, k11_cat_2(B, C)))))), (((~(v2_cat_1(A) & l1_cat_1(A) & v2_cat_1(B) & l1_cat_1(B) & v2_cat_1(C) & l1_cat_1(C) & m2_cat_1(D, A, k11_cat_2(B, C)) & m2_cat_1(E, A, k11_cat_2(B, C)) & m2_nattra_1(F, A, k11_cat_2(B, C), D, E))) | m2_nattra_1(k13_isocat_2(A, B, C, D, E, F), A, B, k11_isocat_2(A, B, C, D), k11_isocat_2(A, B, C, E))) <=> (((~m2_nattra_1(F, A, k11_cat_2(B, C), D, E)) | (~v2_cat_1(C)) | (~l1_cat_1(C)) | (~v2_cat_1(B)) | (~l1_cat_1(B)) | (~v2_cat_1(A)) | (~l1_cat_1(A)) | (~m2_cat_1(D, A, k11_cat_2(B, C))) | (~m2_cat_1(E, A, k11_cat_2(B, C)))) | m2_nattra_1(k13_isocat_2(A, B, C, D, E, F), A, B, k11_isocat_2(A, B, C, D), k11_isocat_2(A, B, C, E))))), rewrite((((~m2_nattra_1(F, A, k11_cat_2(B, C), D, E)) | (~v2_cat_1(C)) | (~l1_cat_1(C)) | (~v2_cat_1(B)) | (~l1_cat_1(B)) | (~v2_cat_1(A)) | (~l1_cat_1(A)) | (~m2_cat_1(D, A, k11_cat_2(B, C))) | (~m2_cat_1(E, A, k11_cat_2(B, C)))) | m2_nattra_1(k13_isocat_2(A, B, C, D, E, F), A, B, k11_isocat_2(A, B, C, D), k11_isocat_2(A, B, C, E))) <=> (m2_nattra_1(k13_isocat_2(A, B, C, D, E, F), A, B, k11_isocat_2(A, B, C, D), k11_isocat_2(A, B, C, E)) | (~m2_nattra_1(F, A, k11_cat_2(B, C), D, E)) | (~v2_cat_1(C)) | (~l1_cat_1(C)) | (~v2_cat_1(B)) | (~l1_cat_1(B)) | (~v2_cat_1(A)) | (~l1_cat_1(A)) | (~m2_cat_1(D, A, k11_cat_2(B, C))) | (~m2_cat_1(E, A, k11_cat_2(B, C))))), (((~(v2_cat_1(A) & l1_cat_1(A) & v2_cat_1(B) & l1_cat_1(B) & v2_cat_1(C) & l1_cat_1(C) & m2_cat_1(D, A, k11_cat_2(B, C)) & m2_cat_1(E, A, k11_cat_2(B, C)) & m2_nattra_1(F, A, k11_cat_2(B, C), D, E))) | m2_nattra_1(k13_isocat_2(A, B, C, D, E, F), A, B, k11_isocat_2(A, B, C, D), k11_isocat_2(A, B, C, E))) <=> (m2_nattra_1(k13_isocat_2(A, B, C, D, E, F), A, B, k11_isocat_2(A, B, C, D), k11_isocat_2(A, B, C, E)) | (~m2_nattra_1(F, A, k11_cat_2(B, C), D, E)) | (~v2_cat_1(C)) | (~l1_cat_1(C)) | (~v2_cat_1(B)) | (~l1_cat_1(B)) | (~v2_cat_1(A)) | (~l1_cat_1(A)) | (~m2_cat_1(D, A, k11_cat_2(B, C))) | (~m2_cat_1(E, A, k11_cat_2(B, C))))))),
% 36.78/23.49      inference(bind,[status(th)],[])).
% 36.78/23.49  tff(210,plain,
% 36.78/23.49      (![A: $i, B: $i, C: $i, D: $i, E: $i, F: $i] : ((~(v2_cat_1(A) & l1_cat_1(A) & v2_cat_1(B) & l1_cat_1(B) & v2_cat_1(C) & l1_cat_1(C) & m2_cat_1(D, A, k11_cat_2(B, C)) & m2_cat_1(E, A, k11_cat_2(B, C)) & m2_nattra_1(F, A, k11_cat_2(B, C), D, E))) | m2_nattra_1(k13_isocat_2(A, B, C, D, E, F), A, B, k11_isocat_2(A, B, C, D), k11_isocat_2(A, B, C, E))) <=> ![A: $i, B: $i, C: $i, D: $i, E: $i, F: $i] : (m2_nattra_1(k13_isocat_2(A, B, C, D, E, F), A, B, k11_isocat_2(A, B, C, D), k11_isocat_2(A, B, C, E)) | (~m2_nattra_1(F, A, k11_cat_2(B, C), D, E)) | (~v2_cat_1(C)) | (~l1_cat_1(C)) | (~v2_cat_1(B)) | (~l1_cat_1(B)) | (~v2_cat_1(A)) | (~l1_cat_1(A)) | (~m2_cat_1(D, A, k11_cat_2(B, C))) | (~m2_cat_1(E, A, k11_cat_2(B, C))))),
% 36.78/23.49      inference(quant_intro,[status(thm)],[209])).
% 36.78/23.49  tff(211,plain,
% 36.78/23.49      (![A: $i, B: $i, C: $i, D: $i, E: $i, F: $i] : ((~(v2_cat_1(A) & l1_cat_1(A) & v2_cat_1(B) & l1_cat_1(B) & v2_cat_1(C) & l1_cat_1(C) & m2_cat_1(D, A, k11_cat_2(B, C)) & m2_cat_1(E, A, k11_cat_2(B, C)) & m2_nattra_1(F, A, k11_cat_2(B, C), D, E))) | m2_nattra_1(k13_isocat_2(A, B, C, D, E, F), A, B, k11_isocat_2(A, B, C, D), k11_isocat_2(A, B, C, E))) <=> ![A: $i, B: $i, C: $i, D: $i, E: $i, F: $i] : ((~(v2_cat_1(A) & l1_cat_1(A) & v2_cat_1(B) & l1_cat_1(B) & v2_cat_1(C) & l1_cat_1(C) & m2_cat_1(D, A, k11_cat_2(B, C)) & m2_cat_1(E, A, k11_cat_2(B, C)) & m2_nattra_1(F, A, k11_cat_2(B, C), D, E))) | m2_nattra_1(k13_isocat_2(A, B, C, D, E, F), A, B, k11_isocat_2(A, B, C, D), k11_isocat_2(A, B, C, E)))),
% 36.78/23.49      inference(rewrite,[status(thm)],[])).
% 36.78/23.49  tff(212,plain,
% 36.78/23.49      (^[A: $i, B: $i, C: $i, D: $i, E: $i, F: $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)) & v2_cat_1(C)) <=> ((v2_cat_1(A) & l1_cat_1(A) & v2_cat_1(B) & l1_cat_1(B)) & v2_cat_1(C)))), rewrite(((v2_cat_1(A) & l1_cat_1(A) & v2_cat_1(B) & l1_cat_1(B)) & v2_cat_1(C)) <=> (v2_cat_1(A) & l1_cat_1(A) & v2_cat_1(B) & l1_cat_1(B) & v2_cat_1(C))), (((((v2_cat_1(A) & l1_cat_1(A)) & v2_cat_1(B)) & l1_cat_1(B)) & v2_cat_1(C)) <=> (v2_cat_1(A) & l1_cat_1(A) & v2_cat_1(B) & l1_cat_1(B) & v2_cat_1(C)))), ((((((v2_cat_1(A) & l1_cat_1(A)) & v2_cat_1(B)) & l1_cat_1(B)) & v2_cat_1(C)) & l1_cat_1(C)) <=> ((v2_cat_1(A) & l1_cat_1(A) & v2_cat_1(B) & l1_cat_1(B) & v2_cat_1(C)) & l1_cat_1(C)))), rewrite(((v2_cat_1(A) & l1_cat_1(A) & v2_cat_1(B) & l1_cat_1(B) & v2_cat_1(C)) & l1_cat_1(C)) <=> (v2_cat_1(A) & l1_cat_1(A) & v2_cat_1(B) & l1_cat_1(B) & v2_cat_1(C) & l1_cat_1(C))), ((((((v2_cat_1(A) & l1_cat_1(A)) & v2_cat_1(B)) & l1_cat_1(B)) & v2_cat_1(C)) & l1_cat_1(C)) <=> (v2_cat_1(A) & l1_cat_1(A) & v2_cat_1(B) & l1_cat_1(B) & v2_cat_1(C) & l1_cat_1(C)))), (((((((v2_cat_1(A) & l1_cat_1(A)) & v2_cat_1(B)) & l1_cat_1(B)) & v2_cat_1(C)) & l1_cat_1(C)) & m2_cat_1(D, A, k11_cat_2(B, C))) <=> ((v2_cat_1(A) & l1_cat_1(A) & v2_cat_1(B) & l1_cat_1(B) & v2_cat_1(C) & l1_cat_1(C)) & m2_cat_1(D, A, k11_cat_2(B, C))))), rewrite(((v2_cat_1(A) & l1_cat_1(A) & v2_cat_1(B) & l1_cat_1(B) & v2_cat_1(C) & l1_cat_1(C)) & m2_cat_1(D, A, k11_cat_2(B, C))) <=> (v2_cat_1(A) & l1_cat_1(A) & v2_cat_1(B) & l1_cat_1(B) & v2_cat_1(C) & l1_cat_1(C) & m2_cat_1(D, A, k11_cat_2(B, C)))), (((((((v2_cat_1(A) & l1_cat_1(A)) & v2_cat_1(B)) & l1_cat_1(B)) & v2_cat_1(C)) & l1_cat_1(C)) & m2_cat_1(D, A, k11_cat_2(B, C))) <=> (v2_cat_1(A) & l1_cat_1(A) & v2_cat_1(B) & l1_cat_1(B) & v2_cat_1(C) & l1_cat_1(C) & m2_cat_1(D, A, k11_cat_2(B, C))))), ((((((((v2_cat_1(A) & l1_cat_1(A)) & v2_cat_1(B)) & l1_cat_1(B)) & v2_cat_1(C)) & l1_cat_1(C)) & m2_cat_1(D, A, k11_cat_2(B, C))) & m2_cat_1(E, A, k11_cat_2(B, C))) <=> ((v2_cat_1(A) & l1_cat_1(A) & v2_cat_1(B) & l1_cat_1(B) & v2_cat_1(C) & l1_cat_1(C) & m2_cat_1(D, A, k11_cat_2(B, C))) & m2_cat_1(E, A, k11_cat_2(B, C))))), rewrite(((v2_cat_1(A) & l1_cat_1(A) & v2_cat_1(B) & l1_cat_1(B) & v2_cat_1(C) & l1_cat_1(C) & m2_cat_1(D, A, k11_cat_2(B, C))) & m2_cat_1(E, A, k11_cat_2(B, C))) <=> (v2_cat_1(A) & l1_cat_1(A) & v2_cat_1(B) & l1_cat_1(B) & v2_cat_1(C) & l1_cat_1(C) & m2_cat_1(D, A, k11_cat_2(B, C)) & m2_cat_1(E, A, k11_cat_2(B, C)))), ((((((((v2_cat_1(A) & l1_cat_1(A)) & v2_cat_1(B)) & l1_cat_1(B)) & v2_cat_1(C)) & l1_cat_1(C)) & m2_cat_1(D, A, k11_cat_2(B, C))) & m2_cat_1(E, A, k11_cat_2(B, C))) <=> (v2_cat_1(A) & l1_cat_1(A) & v2_cat_1(B) & l1_cat_1(B) & v2_cat_1(C) & l1_cat_1(C) & m2_cat_1(D, A, k11_cat_2(B, C)) & m2_cat_1(E, A, k11_cat_2(B, C))))), (((((((((v2_cat_1(A) & l1_cat_1(A)) & v2_cat_1(B)) & l1_cat_1(B)) & v2_cat_1(C)) & l1_cat_1(C)) & m2_cat_1(D, A, k11_cat_2(B, C))) & m2_cat_1(E, A, k11_cat_2(B, C))) & m2_nattra_1(F, A, k11_cat_2(B, C), D, E)) <=> ((v2_cat_1(A) & l1_cat_1(A) & v2_cat_1(B) & l1_cat_1(B) & v2_cat_1(C) & l1_cat_1(C) & m2_cat_1(D, A, k11_cat_2(B, C)) & m2_cat_1(E, A, k11_cat_2(B, C))) & m2_nattra_1(F, A, k11_cat_2(B, C), D, E)))), rewrite(((v2_cat_1(A) & l1_cat_1(A) & v2_cat_1(B) & l1_cat_1(B) & v2_cat_1(C) & l1_cat_1(C) & m2_cat_1(D, A, k11_cat_2(B, C)) & m2_cat_1(E, A, k11_cat_2(B, C))) & m2_nattra_1(F, A, k11_cat_2(B, C), D, E)) <=> (v2_cat_1(A) & l1_cat_1(A) & v2_cat_1(B) & l1_cat_1(B) & v2_cat_1(C) & l1_cat_1(C) & m2_cat_1(D, A, k11_cat_2(B, C)) & m2_cat_1(E, A, k11_cat_2(B, C)) & m2_nattra_1(F, A, k11_cat_2(B, C), D, E))), (((((((((v2_cat_1(A) & l1_cat_1(A)) & v2_cat_1(B)) & l1_cat_1(B)) & v2_cat_1(C)) & l1_cat_1(C)) & m2_cat_1(D, A, k11_cat_2(B, C))) & m2_cat_1(E, A, k11_cat_2(B, C))) & m2_nattra_1(F, A, k11_cat_2(B, C), D, E)) <=> (v2_cat_1(A) & l1_cat_1(A) & v2_cat_1(B) & l1_cat_1(B) & v2_cat_1(C) & l1_cat_1(C) & m2_cat_1(D, A, k11_cat_2(B, C)) & m2_cat_1(E, A, k11_cat_2(B, C)) & m2_nattra_1(F, A, k11_cat_2(B, C), D, E)))), ((((((((((v2_cat_1(A) & l1_cat_1(A)) & v2_cat_1(B)) & l1_cat_1(B)) & v2_cat_1(C)) & l1_cat_1(C)) & m2_cat_1(D, A, k11_cat_2(B, C))) & m2_cat_1(E, A, k11_cat_2(B, C))) & m2_nattra_1(F, A, k11_cat_2(B, C), D, E)) => m2_nattra_1(k13_isocat_2(A, B, C, D, E, F), A, B, k11_isocat_2(A, B, C, D), k11_isocat_2(A, B, C, E))) <=> ((v2_cat_1(A) & l1_cat_1(A) & v2_cat_1(B) & l1_cat_1(B) & v2_cat_1(C) & l1_cat_1(C) & m2_cat_1(D, A, k11_cat_2(B, C)) & m2_cat_1(E, A, k11_cat_2(B, C)) & m2_nattra_1(F, A, k11_cat_2(B, C), D, E)) => m2_nattra_1(k13_isocat_2(A, B, C, D, E, F), A, B, k11_isocat_2(A, B, C, D), k11_isocat_2(A, B, C, E))))), rewrite(((v2_cat_1(A) & l1_cat_1(A) & v2_cat_1(B) & l1_cat_1(B) & v2_cat_1(C) & l1_cat_1(C) & m2_cat_1(D, A, k11_cat_2(B, C)) & m2_cat_1(E, A, k11_cat_2(B, C)) & m2_nattra_1(F, A, k11_cat_2(B, C), D, E)) => m2_nattra_1(k13_isocat_2(A, B, C, D, E, F), A, B, k11_isocat_2(A, B, C, D), k11_isocat_2(A, B, C, E))) <=> ((~(v2_cat_1(A) & l1_cat_1(A) & v2_cat_1(B) & l1_cat_1(B) & v2_cat_1(C) & l1_cat_1(C) & m2_cat_1(D, A, k11_cat_2(B, C)) & m2_cat_1(E, A, k11_cat_2(B, C)) & m2_nattra_1(F, A, k11_cat_2(B, C), D, E))) | m2_nattra_1(k13_isocat_2(A, B, C, D, E, F), A, B, k11_isocat_2(A, B, C, D), k11_isocat_2(A, B, C, E)))), ((((((((((v2_cat_1(A) & l1_cat_1(A)) & v2_cat_1(B)) & l1_cat_1(B)) & v2_cat_1(C)) & l1_cat_1(C)) & m2_cat_1(D, A, k11_cat_2(B, C))) & m2_cat_1(E, A, k11_cat_2(B, C))) & m2_nattra_1(F, A, k11_cat_2(B, C), D, E)) => m2_nattra_1(k13_isocat_2(A, B, C, D, E, F), A, B, k11_isocat_2(A, B, C, D), k11_isocat_2(A, B, C, E))) <=> ((~(v2_cat_1(A) & l1_cat_1(A) & v2_cat_1(B) & l1_cat_1(B) & v2_cat_1(C) & l1_cat_1(C) & m2_cat_1(D, A, k11_cat_2(B, C)) & m2_cat_1(E, A, k11_cat_2(B, C)) & m2_nattra_1(F, A, k11_cat_2(B, C), D, E))) | m2_nattra_1(k13_isocat_2(A, B, C, D, E, F), A, B, k11_isocat_2(A, B, C, D), k11_isocat_2(A, B, C, E)))))),
% 36.80/23.49      inference(bind,[status(th)],[])).
% 36.80/23.49  tff(213,plain,
% 36.80/23.49      (![A: $i, B: $i, C: $i, D: $i, E: $i, F: $i] : (((((((((v2_cat_1(A) & l1_cat_1(A)) & v2_cat_1(B)) & l1_cat_1(B)) & v2_cat_1(C)) & l1_cat_1(C)) & m2_cat_1(D, A, k11_cat_2(B, C))) & m2_cat_1(E, A, k11_cat_2(B, C))) & m2_nattra_1(F, A, k11_cat_2(B, C), D, E)) => m2_nattra_1(k13_isocat_2(A, B, C, D, E, F), A, B, k11_isocat_2(A, B, C, D), k11_isocat_2(A, B, C, E))) <=> ![A: $i, B: $i, C: $i, D: $i, E: $i, F: $i] : ((~(v2_cat_1(A) & l1_cat_1(A) & v2_cat_1(B) & l1_cat_1(B) & v2_cat_1(C) & l1_cat_1(C) & m2_cat_1(D, A, k11_cat_2(B, C)) & m2_cat_1(E, A, k11_cat_2(B, C)) & m2_nattra_1(F, A, k11_cat_2(B, C), D, E))) | m2_nattra_1(k13_isocat_2(A, B, C, D, E, F), A, B, k11_isocat_2(A, B, C, D), k11_isocat_2(A, B, C, E)))),
% 36.80/23.49      inference(quant_intro,[status(thm)],[212])).
% 36.80/23.49  tff(214,axiom,(![A: $i, B: $i, C: $i, D: $i, E: $i, F: $i] : (((((((((v2_cat_1(A) & l1_cat_1(A)) & v2_cat_1(B)) & l1_cat_1(B)) & v2_cat_1(C)) & l1_cat_1(C)) & m2_cat_1(D, A, k11_cat_2(B, C))) & m2_cat_1(E, A, k11_cat_2(B, C))) & m2_nattra_1(F, A, k11_cat_2(B, C), D, E)) => m2_nattra_1(k13_isocat_2(A, B, C, D, E, F), A, B, k11_isocat_2(A, B, C, D), k11_isocat_2(A, B, C, E)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','dt_k13_isocat_2')).
% 36.80/23.49  tff(215,plain,
% 36.80/23.49      (![A: $i, B: $i, C: $i, D: $i, E: $i, F: $i] : ((~(v2_cat_1(A) & l1_cat_1(A) & v2_cat_1(B) & l1_cat_1(B) & v2_cat_1(C) & l1_cat_1(C) & m2_cat_1(D, A, k11_cat_2(B, C)) & m2_cat_1(E, A, k11_cat_2(B, C)) & m2_nattra_1(F, A, k11_cat_2(B, C), D, E))) | m2_nattra_1(k13_isocat_2(A, B, C, D, E, F), A, B, k11_isocat_2(A, B, C, D), k11_isocat_2(A, B, C, E)))),
% 36.80/23.49      inference(modus_ponens,[status(thm)],[214, 213])).
% 36.80/23.49  tff(216,plain,
% 36.80/23.49      (![A: $i, B: $i, C: $i, D: $i, E: $i, F: $i] : ((~(v2_cat_1(A) & l1_cat_1(A) & v2_cat_1(B) & l1_cat_1(B) & v2_cat_1(C) & l1_cat_1(C) & m2_cat_1(D, A, k11_cat_2(B, C)) & m2_cat_1(E, A, k11_cat_2(B, C)) & m2_nattra_1(F, A, k11_cat_2(B, C), D, E))) | m2_nattra_1(k13_isocat_2(A, B, C, D, E, F), A, B, k11_isocat_2(A, B, C, D), k11_isocat_2(A, B, C, E)))),
% 36.80/23.49      inference(modus_ponens,[status(thm)],[215, 211])).
% 36.80/23.49  tff(217,plain,(
% 36.80/23.49      ![A: $i, B: $i, C: $i, D: $i, E: $i, F: $i] : ((~(v2_cat_1(A) & l1_cat_1(A) & v2_cat_1(B) & l1_cat_1(B) & v2_cat_1(C) & l1_cat_1(C) & m2_cat_1(D, A, k11_cat_2(B, C)) & m2_cat_1(E, A, k11_cat_2(B, C)) & m2_nattra_1(F, A, k11_cat_2(B, C), D, E))) | m2_nattra_1(k13_isocat_2(A, B, C, D, E, F), A, B, k11_isocat_2(A, B, C, D), k11_isocat_2(A, B, C, E)))),
% 36.80/23.49      inference(skolemize,[status(sab)],[216])).
% 36.80/23.49  tff(218,plain,
% 36.80/23.49      (![A: $i, B: $i, C: $i, D: $i, E: $i, F: $i] : (m2_nattra_1(k13_isocat_2(A, B, C, D, E, F), A, B, k11_isocat_2(A, B, C, D), k11_isocat_2(A, B, C, E)) | (~m2_nattra_1(F, A, k11_cat_2(B, C), D, E)) | (~v2_cat_1(C)) | (~l1_cat_1(C)) | (~v2_cat_1(B)) | (~l1_cat_1(B)) | (~v2_cat_1(A)) | (~l1_cat_1(A)) | (~m2_cat_1(D, A, k11_cat_2(B, C))) | (~m2_cat_1(E, A, k11_cat_2(B, C))))),
% 36.80/23.49      inference(modus_ponens,[status(thm)],[217, 210])).
% 36.80/23.49  tff(219,plain,
% 36.80/23.49      (![A: $i, B: $i, C: $i, D: $i, E: $i, F: $i] : (m2_nattra_1(k13_isocat_2(A, B, C, D, E, F), A, B, k11_isocat_2(A, B, C, D), k11_isocat_2(A, B, C, E)) | (~m2_nattra_1(F, A, k11_cat_2(B, C), D, E)) | (~v2_cat_1(C)) | (~l1_cat_1(C)) | (~v2_cat_1(B)) | (~l1_cat_1(B)) | (~v2_cat_1(A)) | (~l1_cat_1(A)) | (~m2_cat_1(D, A, k11_cat_2(B, C))) | (~m2_cat_1(E, A, k11_cat_2(B, C))))),
% 36.80/23.49      inference(modus_ponens,[status(thm)],[218, 208])).
% 36.80/23.49  tff(220,plain,
% 36.80/23.49      (((~![A: $i, B: $i, C: $i, D: $i, E: $i, F: $i] : (m2_nattra_1(k13_isocat_2(A, B, C, D, E, F), A, B, k11_isocat_2(A, B, C, D), k11_isocat_2(A, B, C, E)) | (~m2_nattra_1(F, A, k11_cat_2(B, C), D, E)) | (~v2_cat_1(C)) | (~l1_cat_1(C)) | (~v2_cat_1(B)) | (~l1_cat_1(B)) | (~v2_cat_1(A)) | (~l1_cat_1(A)) | (~m2_cat_1(D, A, k11_cat_2(B, C))) | (~m2_cat_1(E, A, k11_cat_2(B, C))))) | ((~m2_cat_1(D!3, 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_nattra_1(k13_isocat_2(A!0, B!1, C!2, D!3, D!3, k4_nattra_1(A!0, k11_cat_2(B!1, C!2), D!3)), A!0, B!1, k11_isocat_2(A!0, B!1, C!2, D!3), k11_isocat_2(A!0, B!1, C!2, D!3)) | (~m2_nattra_1(k4_nattra_1(A!0, k11_cat_2(B!1, C!2), D!3), A!0, k11_cat_2(B!1, C!2), D!3, D!3)))) <=> ((~![A: $i, B: $i, C: $i, D: $i, E: $i, F: $i] : (m2_nattra_1(k13_isocat_2(A, B, C, D, E, F), A, B, k11_isocat_2(A, B, C, D), k11_isocat_2(A, B, C, E)) | (~m2_nattra_1(F, A, k11_cat_2(B, C), D, E)) | (~v2_cat_1(C)) | (~l1_cat_1(C)) | (~v2_cat_1(B)) | (~l1_cat_1(B)) | (~v2_cat_1(A)) | (~l1_cat_1(A)) | (~m2_cat_1(D, A, k11_cat_2(B, C))) | (~m2_cat_1(E, A, k11_cat_2(B, C))))) | (~m2_cat_1(D!3, 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_nattra_1(k13_isocat_2(A!0, B!1, C!2, D!3, D!3, k4_nattra_1(A!0, k11_cat_2(B!1, C!2), D!3)), A!0, B!1, k11_isocat_2(A!0, B!1, C!2, D!3), k11_isocat_2(A!0, B!1, C!2, D!3)) | (~m2_nattra_1(k4_nattra_1(A!0, k11_cat_2(B!1, C!2), D!3), A!0, k11_cat_2(B!1, C!2), D!3, D!3)))),
% 36.80/23.49      inference(rewrite,[status(thm)],[])).
% 36.80/23.49  tff(221,plain,
% 36.80/23.49      ((m2_nattra_1(k13_isocat_2(A!0, B!1, C!2, D!3, D!3, k4_nattra_1(A!0, k11_cat_2(B!1, C!2), D!3)), A!0, B!1, k11_isocat_2(A!0, B!1, C!2, D!3), k11_isocat_2(A!0, B!1, C!2, D!3)) | (~m2_nattra_1(k4_nattra_1(A!0, k11_cat_2(B!1, C!2), D!3), A!0, k11_cat_2(B!1, C!2), D!3, D!3)) | (~v2_cat_1(C!2)) | (~l1_cat_1(C!2)) | (~v2_cat_1(B!1)) | (~l1_cat_1(B!1)) | (~v2_cat_1(A!0)) | (~l1_cat_1(A!0)) | (~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)))) <=> ((~m2_cat_1(D!3, 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_nattra_1(k13_isocat_2(A!0, B!1, C!2, D!3, D!3, k4_nattra_1(A!0, k11_cat_2(B!1, C!2), D!3)), A!0, B!1, k11_isocat_2(A!0, B!1, C!2, D!3), k11_isocat_2(A!0, B!1, C!2, D!3)) | (~m2_nattra_1(k4_nattra_1(A!0, k11_cat_2(B!1, C!2), D!3), A!0, k11_cat_2(B!1, C!2), D!3, D!3)))),
% 36.80/23.49      inference(rewrite,[status(thm)],[])).
% 36.80/23.49  tff(222,plain,
% 36.80/23.49      (((~![A: $i, B: $i, C: $i, D: $i, E: $i, F: $i] : (m2_nattra_1(k13_isocat_2(A, B, C, D, E, F), A, B, k11_isocat_2(A, B, C, D), k11_isocat_2(A, B, C, E)) | (~m2_nattra_1(F, A, k11_cat_2(B, C), D, E)) | (~v2_cat_1(C)) | (~l1_cat_1(C)) | (~v2_cat_1(B)) | (~l1_cat_1(B)) | (~v2_cat_1(A)) | (~l1_cat_1(A)) | (~m2_cat_1(D, A, k11_cat_2(B, C))) | (~m2_cat_1(E, A, k11_cat_2(B, C))))) | (m2_nattra_1(k13_isocat_2(A!0, B!1, C!2, D!3, D!3, k4_nattra_1(A!0, k11_cat_2(B!1, C!2), D!3)), A!0, B!1, k11_isocat_2(A!0, B!1, C!2, D!3), k11_isocat_2(A!0, B!1, C!2, D!3)) | (~m2_nattra_1(k4_nattra_1(A!0, k11_cat_2(B!1, C!2), D!3), A!0, k11_cat_2(B!1, C!2), D!3, D!3)) | (~v2_cat_1(C!2)) | (~l1_cat_1(C!2)) | (~v2_cat_1(B!1)) | (~l1_cat_1(B!1)) | (~v2_cat_1(A!0)) | (~l1_cat_1(A!0)) | (~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))))) <=> ((~![A: $i, B: $i, C: $i, D: $i, E: $i, F: $i] : (m2_nattra_1(k13_isocat_2(A, B, C, D, E, F), A, B, k11_isocat_2(A, B, C, D), k11_isocat_2(A, B, C, E)) | (~m2_nattra_1(F, A, k11_cat_2(B, C), D, E)) | (~v2_cat_1(C)) | (~l1_cat_1(C)) | (~v2_cat_1(B)) | (~l1_cat_1(B)) | (~v2_cat_1(A)) | (~l1_cat_1(A)) | (~m2_cat_1(D, A, k11_cat_2(B, C))) | (~m2_cat_1(E, A, k11_cat_2(B, C))))) | ((~m2_cat_1(D!3, 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_nattra_1(k13_isocat_2(A!0, B!1, C!2, D!3, D!3, k4_nattra_1(A!0, k11_cat_2(B!1, C!2), D!3)), A!0, B!1, k11_isocat_2(A!0, B!1, C!2, D!3), k11_isocat_2(A!0, B!1, C!2, D!3)) | (~m2_nattra_1(k4_nattra_1(A!0, k11_cat_2(B!1, C!2), D!3), A!0, k11_cat_2(B!1, C!2), D!3, D!3))))),
% 36.80/23.50      inference(monotonicity,[status(thm)],[221])).
% 36.80/23.50  tff(223,plain,
% 36.80/23.50      (((~![A: $i, B: $i, C: $i, D: $i, E: $i, F: $i] : (m2_nattra_1(k13_isocat_2(A, B, C, D, E, F), A, B, k11_isocat_2(A, B, C, D), k11_isocat_2(A, B, C, E)) | (~m2_nattra_1(F, A, k11_cat_2(B, C), D, E)) | (~v2_cat_1(C)) | (~l1_cat_1(C)) | (~v2_cat_1(B)) | (~l1_cat_1(B)) | (~v2_cat_1(A)) | (~l1_cat_1(A)) | (~m2_cat_1(D, A, k11_cat_2(B, C))) | (~m2_cat_1(E, A, k11_cat_2(B, C))))) | (m2_nattra_1(k13_isocat_2(A!0, B!1, C!2, D!3, D!3, k4_nattra_1(A!0, k11_cat_2(B!1, C!2), D!3)), A!0, B!1, k11_isocat_2(A!0, B!1, C!2, D!3), k11_isocat_2(A!0, B!1, C!2, D!3)) | (~m2_nattra_1(k4_nattra_1(A!0, k11_cat_2(B!1, C!2), D!3), A!0, k11_cat_2(B!1, C!2), D!3, D!3)) | (~v2_cat_1(C!2)) | (~l1_cat_1(C!2)) | (~v2_cat_1(B!1)) | (~l1_cat_1(B!1)) | (~v2_cat_1(A!0)) | (~l1_cat_1(A!0)) | (~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))))) <=> ((~![A: $i, B: $i, C: $i, D: $i, E: $i, F: $i] : (m2_nattra_1(k13_isocat_2(A, B, C, D, E, F), A, B, k11_isocat_2(A, B, C, D), k11_isocat_2(A, B, C, E)) | (~m2_nattra_1(F, A, k11_cat_2(B, C), D, E)) | (~v2_cat_1(C)) | (~l1_cat_1(C)) | (~v2_cat_1(B)) | (~l1_cat_1(B)) | (~v2_cat_1(A)) | (~l1_cat_1(A)) | (~m2_cat_1(D, A, k11_cat_2(B, C))) | (~m2_cat_1(E, A, k11_cat_2(B, C))))) | (~m2_cat_1(D!3, 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_nattra_1(k13_isocat_2(A!0, B!1, C!2, D!3, D!3, k4_nattra_1(A!0, k11_cat_2(B!1, C!2), D!3)), A!0, B!1, k11_isocat_2(A!0, B!1, C!2, D!3), k11_isocat_2(A!0, B!1, C!2, D!3)) | (~m2_nattra_1(k4_nattra_1(A!0, k11_cat_2(B!1, C!2), D!3), A!0, k11_cat_2(B!1, C!2), D!3, D!3)))),
% 36.80/23.50      inference(transitivity,[status(thm)],[222, 220])).
% 36.80/23.50  tff(224,plain,
% 36.80/23.50      ((~![A: $i, B: $i, C: $i, D: $i, E: $i, F: $i] : (m2_nattra_1(k13_isocat_2(A, B, C, D, E, F), A, B, k11_isocat_2(A, B, C, D), k11_isocat_2(A, B, C, E)) | (~m2_nattra_1(F, A, k11_cat_2(B, C), D, E)) | (~v2_cat_1(C)) | (~l1_cat_1(C)) | (~v2_cat_1(B)) | (~l1_cat_1(B)) | (~v2_cat_1(A)) | (~l1_cat_1(A)) | (~m2_cat_1(D, A, k11_cat_2(B, C))) | (~m2_cat_1(E, A, k11_cat_2(B, C))))) | (m2_nattra_1(k13_isocat_2(A!0, B!1, C!2, D!3, D!3, k4_nattra_1(A!0, k11_cat_2(B!1, C!2), D!3)), A!0, B!1, k11_isocat_2(A!0, B!1, C!2, D!3), k11_isocat_2(A!0, B!1, C!2, D!3)) | (~m2_nattra_1(k4_nattra_1(A!0, k11_cat_2(B!1, C!2), D!3), A!0, k11_cat_2(B!1, C!2), D!3, D!3)) | (~v2_cat_1(C!2)) | (~l1_cat_1(C!2)) | (~v2_cat_1(B!1)) | (~l1_cat_1(B!1)) | (~v2_cat_1(A!0)) | (~l1_cat_1(A!0)) | (~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))))),
% 36.80/23.50      inference(quant_inst,[status(thm)],[])).
% 36.80/23.50  tff(225,plain,
% 36.80/23.50      ((~![A: $i, B: $i, C: $i, D: $i, E: $i, F: $i] : (m2_nattra_1(k13_isocat_2(A, B, C, D, E, F), A, B, k11_isocat_2(A, B, C, D), k11_isocat_2(A, B, C, E)) | (~m2_nattra_1(F, A, k11_cat_2(B, C), D, E)) | (~v2_cat_1(C)) | (~l1_cat_1(C)) | (~v2_cat_1(B)) | (~l1_cat_1(B)) | (~v2_cat_1(A)) | (~l1_cat_1(A)) | (~m2_cat_1(D, A, k11_cat_2(B, C))) | (~m2_cat_1(E, A, k11_cat_2(B, C))))) | (~m2_cat_1(D!3, 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_nattra_1(k13_isocat_2(A!0, B!1, C!2, D!3, D!3, k4_nattra_1(A!0, k11_cat_2(B!1, C!2), D!3)), A!0, B!1, k11_isocat_2(A!0, B!1, C!2, D!3), k11_isocat_2(A!0, B!1, C!2, D!3)) | (~m2_nattra_1(k4_nattra_1(A!0, k11_cat_2(B!1, C!2), D!3), A!0, k11_cat_2(B!1, C!2), D!3, D!3))),
% 36.80/23.50      inference(modus_ponens,[status(thm)],[224, 223])).
% 36.80/23.50  tff(226,plain,
% 36.80/23.50      (m2_nattra_1(k13_isocat_2(A!0, B!1, C!2, D!3, D!3, k4_nattra_1(A!0, k11_cat_2(B!1, C!2), D!3)), A!0, B!1, k11_isocat_2(A!0, B!1, C!2, D!3), k11_isocat_2(A!0, B!1, C!2, D!3)) | (~m2_nattra_1(k4_nattra_1(A!0, k11_cat_2(B!1, C!2), D!3), A!0, k11_cat_2(B!1, C!2), D!3, D!3))),
% 36.80/23.50      inference(unit_resolution,[status(thm)],[225, 71, 70, 40, 39, 38, 37, 69, 219])).
% 36.80/23.50  tff(227,plain,
% 36.80/23.50      (m2_nattra_1(k13_isocat_2(A!0, B!1, C!2, D!3, D!3, k4_nattra_1(A!0, k11_cat_2(B!1, C!2), D!3)), A!0, B!1, k11_isocat_2(A!0, B!1, C!2, D!3), k11_isocat_2(A!0, B!1, C!2, D!3))),
% 36.80/23.50      inference(unit_resolution,[status(thm)],[226, 144])).
% 36.80/23.50  tff(228,plain,
% 36.80/23.50      (m2_nattra_1(k13_isocat_2(A!0, B!1, C!2, D!3, D!3, k7_nattra_1(A!0, k11_cat_2(B!1, C!2), D!3)), A!0, B!1, k11_isocat_2(A!0, B!1, C!2, D!3), k11_isocat_2(A!0, B!1, C!2, D!3))),
% 36.80/23.50      inference(modus_ponens,[status(thm)],[227, 206])).
% 36.80/23.50  tff(229,plain,
% 36.80/23.50      (^[A: $i, B: $i, C: $i, D: $i] : rewrite((![E: $i] : ((~m2_nattra_1(E, A, B, C, D)) | m1_nattra_1(E, A, B, C, D)) | (~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)) | ![E: $i] : ((~m2_nattra_1(E, A, B, C, D)) | m1_nattra_1(E, A, B, C, D))))),
% 36.80/23.50      inference(bind,[status(th)],[])).
% 36.80/23.50  tff(230,plain,
% 36.80/23.50      (![A: $i, B: $i, C: $i, D: $i] : (![E: $i] : ((~m2_nattra_1(E, A, B, C, D)) | m1_nattra_1(E, A, B, C, D)) | (~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))) <=> ![A: $i, B: $i, C: $i, D: $i] : ((~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)) | ![E: $i] : ((~m2_nattra_1(E, A, B, C, D)) | m1_nattra_1(E, A, B, C, D)))),
% 36.80/23.50      inference(quant_intro,[status(thm)],[229])).
% 36.80/23.50  tff(231,plain,
% 36.80/23.50      (^[A: $i, B: $i, C: $i, D: $i] : refl((![E: $i] : ((~m2_nattra_1(E, A, B, C, D)) | m1_nattra_1(E, A, B, C, D)) | (~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))) <=> (![E: $i] : ((~m2_nattra_1(E, A, B, C, D)) | m1_nattra_1(E, A, B, C, D)) | (~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))))),
% 36.80/23.50      inference(bind,[status(th)],[])).
% 36.80/23.50  tff(232,plain,
% 36.80/23.50      (![A: $i, B: $i, C: $i, D: $i] : (![E: $i] : ((~m2_nattra_1(E, A, B, C, D)) | m1_nattra_1(E, A, B, C, D)) | (~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))) <=> ![A: $i, B: $i, C: $i, D: $i] : (![E: $i] : ((~m2_nattra_1(E, A, B, C, D)) | m1_nattra_1(E, A, B, C, D)) | (~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)))),
% 36.80/23.50      inference(quant_intro,[status(thm)],[231])).
% 36.80/23.50  tff(233,plain,
% 36.80/23.50      (^[A: $i, B: $i, C: $i, D: $i] : rewrite((![E: $i] : ((~m2_nattra_1(E, A, B, C, D)) | m1_nattra_1(E, A, B, C, D)) | (~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))) <=> (![E: $i] : ((~m2_nattra_1(E, A, B, C, D)) | m1_nattra_1(E, A, B, C, D)) | (~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))))),
% 36.80/23.50      inference(bind,[status(th)],[])).
% 36.80/23.50  tff(234,plain,
% 36.80/23.50      (![A: $i, B: $i, C: $i, D: $i] : (![E: $i] : ((~m2_nattra_1(E, A, B, C, D)) | m1_nattra_1(E, A, B, C, D)) | (~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))) <=> ![A: $i, B: $i, C: $i, D: $i] : (![E: $i] : ((~m2_nattra_1(E, A, B, C, D)) | m1_nattra_1(E, A, B, C, D)) | (~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)))),
% 36.80/23.50      inference(quant_intro,[status(thm)],[233])).
% 36.80/23.50  tff(235,plain,
% 36.80/23.50      (![A: $i, B: $i, C: $i, D: $i] : (![E: $i] : ((~m2_nattra_1(E, A, B, C, D)) | m1_nattra_1(E, A, B, C, D)) | (~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))) <=> ![A: $i, B: $i, C: $i, D: $i] : (![E: $i] : ((~m2_nattra_1(E, A, B, C, D)) | m1_nattra_1(E, A, B, C, D)) | (~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)))),
% 36.80/23.50      inference(transitivity,[status(thm)],[234, 232])).
% 36.80/23.50  tff(236,plain,
% 36.80/23.50      (^[A: $i, B: $i, C: $i, D: $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(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))))), ((~(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(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))))))), rewrite((~(~((~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)))), ((~(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(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))))), (((~(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))) | ![E: $i] : ((~m2_nattra_1(E, A, B, C, D)) | m1_nattra_1(E, A, B, C, D))) <=> (((~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))) | ![E: $i] : ((~m2_nattra_1(E, A, B, C, D)) | m1_nattra_1(E, A, B, C, D))))), rewrite((((~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))) | ![E: $i] : ((~m2_nattra_1(E, A, B, C, D)) | m1_nattra_1(E, A, B, C, D))) <=> (![E: $i] : ((~m2_nattra_1(E, A, B, C, D)) | m1_nattra_1(E, A, B, C, D)) | (~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)))), (((~(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))) | ![E: $i] : ((~m2_nattra_1(E, A, B, C, D)) | m1_nattra_1(E, A, B, C, D))) <=> (![E: $i] : ((~m2_nattra_1(E, A, B, C, D)) | m1_nattra_1(E, A, B, C, D)) | (~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)))))),
% 36.80/23.50      inference(bind,[status(th)],[])).
% 36.80/23.50  tff(237,plain,
% 36.80/23.50      (![A: $i, B: $i, C: $i, D: $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))) | ![E: $i] : ((~m2_nattra_1(E, A, B, C, D)) | m1_nattra_1(E, A, B, C, D))) <=> ![A: $i, B: $i, C: $i, D: $i] : (![E: $i] : ((~m2_nattra_1(E, A, B, C, D)) | m1_nattra_1(E, A, B, C, D)) | (~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)))),
% 36.80/23.50      inference(quant_intro,[status(thm)],[236])).
% 36.80/23.50  tff(238,plain,
% 36.80/23.50      (![A: $i, B: $i, C: $i, D: $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))) | ![E: $i] : ((~m2_nattra_1(E, A, B, C, D)) | m1_nattra_1(E, A, B, C, D))) <=> ![A: $i, B: $i, C: $i, D: $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))) | ![E: $i] : ((~m2_nattra_1(E, A, B, C, D)) | m1_nattra_1(E, A, B, C, D)))),
% 36.80/23.50      inference(rewrite,[status(thm)],[])).
% 36.80/23.50  tff(239,plain,
% 36.80/23.50      (^[A: $i, B: $i, C: $i, D: $i] : 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)))), quant_intro(proof_bind(^[E: $i] : rewrite((m2_nattra_1(E, A, B, C, D) => m1_nattra_1(E, A, B, C, D)) <=> ((~m2_nattra_1(E, A, B, C, D)) | m1_nattra_1(E, A, B, C, D)))), (![E: $i] : (m2_nattra_1(E, A, B, C, D) => m1_nattra_1(E, A, B, C, D)) <=> ![E: $i] : ((~m2_nattra_1(E, A, B, C, D)) | m1_nattra_1(E, 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)) => ![E: $i] : (m2_nattra_1(E, A, B, C, D) => m1_nattra_1(E, 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)) => ![E: $i] : ((~m2_nattra_1(E, A, B, C, D)) | m1_nattra_1(E, 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)) => ![E: $i] : ((~m2_nattra_1(E, A, B, C, D)) | m1_nattra_1(E, 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))) | ![E: $i] : ((~m2_nattra_1(E, A, B, C, D)) | m1_nattra_1(E, 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)) => ![E: $i] : (m2_nattra_1(E, A, B, C, D) => m1_nattra_1(E, 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))) | ![E: $i] : ((~m2_nattra_1(E, A, B, C, D)) | m1_nattra_1(E, A, B, C, D)))))),
% 36.80/23.50      inference(bind,[status(th)],[])).
% 36.80/23.50  tff(240,plain,
% 36.80/23.50      (![A: $i, B: $i, C: $i, D: $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)) => ![E: $i] : (m2_nattra_1(E, A, B, C, D) => m1_nattra_1(E, A, B, C, D))) <=> ![A: $i, B: $i, C: $i, D: $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))) | ![E: $i] : ((~m2_nattra_1(E, A, B, C, D)) | m1_nattra_1(E, A, B, C, D)))),
% 36.80/23.50      inference(quant_intro,[status(thm)],[239])).
% 36.80/23.50  tff(241,axiom,(![A: $i, B: $i, C: $i, D: $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)) => ![E: $i] : (m2_nattra_1(E, A, B, C, D) => m1_nattra_1(E, A, B, C, D)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','dt_m2_nattra_1')).
% 36.80/23.50  tff(242,plain,
% 36.80/23.50      (![A: $i, B: $i, C: $i, D: $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))) | ![E: $i] : ((~m2_nattra_1(E, A, B, C, D)) | m1_nattra_1(E, A, B, C, D)))),
% 36.80/23.50      inference(modus_ponens,[status(thm)],[241, 240])).
% 36.80/23.50  tff(243,plain,
% 36.80/23.50      (![A: $i, B: $i, C: $i, D: $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))) | ![E: $i] : ((~m2_nattra_1(E, A, B, C, D)) | m1_nattra_1(E, A, B, C, D)))),
% 36.80/23.51      inference(modus_ponens,[status(thm)],[242, 238])).
% 36.80/23.51  tff(244,plain,(
% 36.80/23.51      ![A: $i, B: $i, C: $i, D: $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))) | ![E: $i] : ((~m2_nattra_1(E, A, B, C, D)) | m1_nattra_1(E, A, B, C, D)))),
% 36.80/23.51      inference(skolemize,[status(sab)],[243])).
% 36.80/23.51  tff(245,plain,
% 36.80/23.51      (![A: $i, B: $i, C: $i, D: $i] : (![E: $i] : ((~m2_nattra_1(E, A, B, C, D)) | m1_nattra_1(E, A, B, C, D)) | (~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)))),
% 36.80/23.51      inference(modus_ponens,[status(thm)],[244, 237])).
% 36.80/23.51  tff(246,plain,
% 36.80/23.51      (![A: $i, B: $i, C: $i, D: $i] : (![E: $i] : ((~m2_nattra_1(E, A, B, C, D)) | m1_nattra_1(E, A, B, C, D)) | (~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)))),
% 36.80/23.51      inference(modus_ponens,[status(thm)],[245, 235])).
% 36.80/23.51  tff(247,plain,
% 36.80/23.51      (![A: $i, B: $i, C: $i, D: $i] : ((~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)) | ![E: $i] : ((~m2_nattra_1(E, A, B, C, D)) | m1_nattra_1(E, A, B, C, D)))),
% 36.80/23.51      inference(modus_ponens,[status(thm)],[246, 230])).
% 36.80/23.51  tff(248,plain,
% 36.80/23.51      (((~![A: $i, B: $i, C: $i, D: $i] : ((~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)) | ![E: $i] : ((~m2_nattra_1(E, A, B, C, D)) | m1_nattra_1(E, A, B, C, D)))) | ((~v2_cat_1(A!0)) | (~l1_cat_1(A!0)) | (~v2_cat_1(B!1)) | (~l1_cat_1(B!1)) | (~m2_cat_1(k11_isocat_2(A!0, B!1, C!2, D!3), A!0, B!1)) | ![E: $i] : ((~m2_nattra_1(E, A!0, B!1, k11_isocat_2(A!0, B!1, C!2, D!3), k11_isocat_2(A!0, B!1, C!2, D!3))) | m1_nattra_1(E, A!0, B!1, k11_isocat_2(A!0, B!1, C!2, D!3), k11_isocat_2(A!0, B!1, C!2, D!3))))) <=> ((~![A: $i, B: $i, C: $i, D: $i] : ((~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)) | ![E: $i] : ((~m2_nattra_1(E, A, B, C, D)) | m1_nattra_1(E, A, B, C, D)))) | (~v2_cat_1(A!0)) | (~l1_cat_1(A!0)) | (~v2_cat_1(B!1)) | (~l1_cat_1(B!1)) | (~m2_cat_1(k11_isocat_2(A!0, B!1, C!2, D!3), A!0, B!1)) | ![E: $i] : ((~m2_nattra_1(E, A!0, B!1, k11_isocat_2(A!0, B!1, C!2, D!3), k11_isocat_2(A!0, B!1, C!2, D!3))) | m1_nattra_1(E, A!0, B!1, k11_isocat_2(A!0, B!1, C!2, D!3), k11_isocat_2(A!0, B!1, C!2, D!3))))),
% 36.80/23.51      inference(rewrite,[status(thm)],[])).
% 36.80/23.51  tff(249,plain,
% 36.80/23.51      (((~m2_cat_1(k11_isocat_2(A!0, B!1, C!2, D!3), A!0, B!1)) | (~v2_cat_1(A!0)) | (~l1_cat_1(A!0)) | (~v2_cat_1(B!1)) | (~l1_cat_1(B!1)) | (~m2_cat_1(k11_isocat_2(A!0, B!1, C!2, D!3), A!0, B!1)) | ![E: $i] : ((~m2_nattra_1(E, A!0, B!1, k11_isocat_2(A!0, B!1, C!2, D!3), k11_isocat_2(A!0, B!1, C!2, D!3))) | m1_nattra_1(E, A!0, B!1, k11_isocat_2(A!0, B!1, C!2, D!3), k11_isocat_2(A!0, B!1, C!2, D!3)))) <=> ((~v2_cat_1(A!0)) | (~l1_cat_1(A!0)) | (~v2_cat_1(B!1)) | (~l1_cat_1(B!1)) | (~m2_cat_1(k11_isocat_2(A!0, B!1, C!2, D!3), A!0, B!1)) | ![E: $i] : ((~m2_nattra_1(E, A!0, B!1, k11_isocat_2(A!0, B!1, C!2, D!3), k11_isocat_2(A!0, B!1, C!2, D!3))) | m1_nattra_1(E, A!0, B!1, k11_isocat_2(A!0, B!1, C!2, D!3), k11_isocat_2(A!0, B!1, C!2, D!3))))),
% 36.80/23.51      inference(rewrite,[status(thm)],[])).
% 36.80/23.51  tff(250,plain,
% 36.80/23.51      (((~![A: $i, B: $i, C: $i, D: $i] : ((~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)) | ![E: $i] : ((~m2_nattra_1(E, A, B, C, D)) | m1_nattra_1(E, A, B, C, D)))) | ((~m2_cat_1(k11_isocat_2(A!0, B!1, C!2, D!3), A!0, B!1)) | (~v2_cat_1(A!0)) | (~l1_cat_1(A!0)) | (~v2_cat_1(B!1)) | (~l1_cat_1(B!1)) | (~m2_cat_1(k11_isocat_2(A!0, B!1, C!2, D!3), A!0, B!1)) | ![E: $i] : ((~m2_nattra_1(E, A!0, B!1, k11_isocat_2(A!0, B!1, C!2, D!3), k11_isocat_2(A!0, B!1, C!2, D!3))) | m1_nattra_1(E, A!0, B!1, k11_isocat_2(A!0, B!1, C!2, D!3), k11_isocat_2(A!0, B!1, C!2, D!3))))) <=> ((~![A: $i, B: $i, C: $i, D: $i] : ((~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)) | ![E: $i] : ((~m2_nattra_1(E, A, B, C, D)) | m1_nattra_1(E, A, B, C, D)))) | ((~v2_cat_1(A!0)) | (~l1_cat_1(A!0)) | (~v2_cat_1(B!1)) | (~l1_cat_1(B!1)) | (~m2_cat_1(k11_isocat_2(A!0, B!1, C!2, D!3), A!0, B!1)) | ![E: $i] : ((~m2_nattra_1(E, A!0, B!1, k11_isocat_2(A!0, B!1, C!2, D!3), k11_isocat_2(A!0, B!1, C!2, D!3))) | m1_nattra_1(E, A!0, B!1, k11_isocat_2(A!0, B!1, C!2, D!3), k11_isocat_2(A!0, B!1, C!2, D!3)))))),
% 36.80/23.51      inference(monotonicity,[status(thm)],[249])).
% 36.80/23.51  tff(251,plain,
% 36.80/23.51      (((~![A: $i, B: $i, C: $i, D: $i] : ((~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)) | ![E: $i] : ((~m2_nattra_1(E, A, B, C, D)) | m1_nattra_1(E, A, B, C, D)))) | ((~m2_cat_1(k11_isocat_2(A!0, B!1, C!2, D!3), A!0, B!1)) | (~v2_cat_1(A!0)) | (~l1_cat_1(A!0)) | (~v2_cat_1(B!1)) | (~l1_cat_1(B!1)) | (~m2_cat_1(k11_isocat_2(A!0, B!1, C!2, D!3), A!0, B!1)) | ![E: $i] : ((~m2_nattra_1(E, A!0, B!1, k11_isocat_2(A!0, B!1, C!2, D!3), k11_isocat_2(A!0, B!1, C!2, D!3))) | m1_nattra_1(E, A!0, B!1, k11_isocat_2(A!0, B!1, C!2, D!3), k11_isocat_2(A!0, B!1, C!2, D!3))))) <=> ((~![A: $i, B: $i, C: $i, D: $i] : ((~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)) | ![E: $i] : ((~m2_nattra_1(E, A, B, C, D)) | m1_nattra_1(E, A, B, C, D)))) | (~v2_cat_1(A!0)) | (~l1_cat_1(A!0)) | (~v2_cat_1(B!1)) | (~l1_cat_1(B!1)) | (~m2_cat_1(k11_isocat_2(A!0, B!1, C!2, D!3), A!0, B!1)) | ![E: $i] : ((~m2_nattra_1(E, A!0, B!1, k11_isocat_2(A!0, B!1, C!2, D!3), k11_isocat_2(A!0, B!1, C!2, D!3))) | m1_nattra_1(E, A!0, B!1, k11_isocat_2(A!0, B!1, C!2, D!3), k11_isocat_2(A!0, B!1, C!2, D!3))))),
% 36.80/23.51      inference(transitivity,[status(thm)],[250, 248])).
% 36.80/23.51  tff(252,plain,
% 36.80/23.51      ((~![A: $i, B: $i, C: $i, D: $i] : ((~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)) | ![E: $i] : ((~m2_nattra_1(E, A, B, C, D)) | m1_nattra_1(E, A, B, C, D)))) | ((~m2_cat_1(k11_isocat_2(A!0, B!1, C!2, D!3), A!0, B!1)) | (~v2_cat_1(A!0)) | (~l1_cat_1(A!0)) | (~v2_cat_1(B!1)) | (~l1_cat_1(B!1)) | (~m2_cat_1(k11_isocat_2(A!0, B!1, C!2, D!3), A!0, B!1)) | ![E: $i] : ((~m2_nattra_1(E, A!0, B!1, k11_isocat_2(A!0, B!1, C!2, D!3), k11_isocat_2(A!0, B!1, C!2, D!3))) | m1_nattra_1(E, A!0, B!1, k11_isocat_2(A!0, B!1, C!2, D!3), k11_isocat_2(A!0, B!1, C!2, D!3))))),
% 36.80/23.51      inference(quant_inst,[status(thm)],[])).
% 36.80/23.51  tff(253,plain,
% 36.80/23.51      ((~![A: $i, B: $i, C: $i, D: $i] : ((~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)) | ![E: $i] : ((~m2_nattra_1(E, A, B, C, D)) | m1_nattra_1(E, A, B, C, D)))) | (~v2_cat_1(A!0)) | (~l1_cat_1(A!0)) | (~v2_cat_1(B!1)) | (~l1_cat_1(B!1)) | (~m2_cat_1(k11_isocat_2(A!0, B!1, C!2, D!3), A!0, B!1)) | ![E: $i] : ((~m2_nattra_1(E, A!0, B!1, k11_isocat_2(A!0, B!1, C!2, D!3), k11_isocat_2(A!0, B!1, C!2, D!3))) | m1_nattra_1(E, A!0, B!1, k11_isocat_2(A!0, B!1, C!2, D!3), k11_isocat_2(A!0, B!1, C!2, D!3)))),
% 36.80/23.51      inference(modus_ponens,[status(thm)],[252, 251])).
% 36.80/23.51  tff(254,plain,
% 36.80/23.51      (![E: $i] : ((~m2_nattra_1(E, A!0, B!1, k11_isocat_2(A!0, B!1, C!2, D!3), k11_isocat_2(A!0, B!1, C!2, D!3))) | m1_nattra_1(E, A!0, B!1, k11_isocat_2(A!0, B!1, C!2, D!3), k11_isocat_2(A!0, B!1, C!2, D!3)))),
% 36.80/23.51      inference(unit_resolution,[status(thm)],[253, 71, 70, 40, 39, 247, 192])).
% 36.80/23.51  tff(255,plain,
% 36.80/23.51      (((~![E: $i] : ((~m2_nattra_1(E, A!0, B!1, k11_isocat_2(A!0, B!1, C!2, D!3), k11_isocat_2(A!0, B!1, C!2, D!3))) | m1_nattra_1(E, A!0, B!1, k11_isocat_2(A!0, B!1, C!2, D!3), k11_isocat_2(A!0, B!1, C!2, D!3)))) | ((~m2_nattra_1(k13_isocat_2(A!0, B!1, C!2, D!3, D!3, k7_nattra_1(A!0, k11_cat_2(B!1, C!2), D!3)), A!0, B!1, k11_isocat_2(A!0, B!1, C!2, D!3), k11_isocat_2(A!0, B!1, C!2, D!3))) | m1_nattra_1(k13_isocat_2(A!0, B!1, C!2, D!3, D!3, k7_nattra_1(A!0, k11_cat_2(B!1, C!2), D!3)), A!0, B!1, k11_isocat_2(A!0, B!1, C!2, D!3), k11_isocat_2(A!0, B!1, C!2, D!3)))) <=> ((~![E: $i] : ((~m2_nattra_1(E, A!0, B!1, k11_isocat_2(A!0, B!1, C!2, D!3), k11_isocat_2(A!0, B!1, C!2, D!3))) | m1_nattra_1(E, A!0, B!1, k11_isocat_2(A!0, B!1, C!2, D!3), k11_isocat_2(A!0, B!1, C!2, D!3)))) | (~m2_nattra_1(k13_isocat_2(A!0, B!1, C!2, D!3, D!3, k7_nattra_1(A!0, k11_cat_2(B!1, C!2), D!3)), A!0, B!1, k11_isocat_2(A!0, B!1, C!2, D!3), k11_isocat_2(A!0, B!1, C!2, D!3))) | m1_nattra_1(k13_isocat_2(A!0, B!1, C!2, D!3, D!3, k7_nattra_1(A!0, k11_cat_2(B!1, C!2), D!3)), A!0, B!1, k11_isocat_2(A!0, B!1, C!2, D!3), k11_isocat_2(A!0, B!1, C!2, D!3)))),
% 36.83/23.52      inference(rewrite,[status(thm)],[])).
% 36.83/23.52  tff(256,plain,
% 36.83/23.52      ((~![E: $i] : ((~m2_nattra_1(E, A!0, B!1, k11_isocat_2(A!0, B!1, C!2, D!3), k11_isocat_2(A!0, B!1, C!2, D!3))) | m1_nattra_1(E, A!0, B!1, k11_isocat_2(A!0, B!1, C!2, D!3), k11_isocat_2(A!0, B!1, C!2, D!3)))) | ((~m2_nattra_1(k13_isocat_2(A!0, B!1, C!2, D!3, D!3, k7_nattra_1(A!0, k11_cat_2(B!1, C!2), D!3)), A!0, B!1, k11_isocat_2(A!0, B!1, C!2, D!3), k11_isocat_2(A!0, B!1, C!2, D!3))) | m1_nattra_1(k13_isocat_2(A!0, B!1, C!2, D!3, D!3, k7_nattra_1(A!0, k11_cat_2(B!1, C!2), D!3)), A!0, B!1, k11_isocat_2(A!0, B!1, C!2, D!3), k11_isocat_2(A!0, B!1, C!2, D!3)))),
% 36.83/23.52      inference(quant_inst,[status(thm)],[])).
% 36.83/23.52  tff(257,plain,
% 36.83/23.52      ((~![E: $i] : ((~m2_nattra_1(E, A!0, B!1, k11_isocat_2(A!0, B!1, C!2, D!3), k11_isocat_2(A!0, B!1, C!2, D!3))) | m1_nattra_1(E, A!0, B!1, k11_isocat_2(A!0, B!1, C!2, D!3), k11_isocat_2(A!0, B!1, C!2, D!3)))) | (~m2_nattra_1(k13_isocat_2(A!0, B!1, C!2, D!3, D!3, k7_nattra_1(A!0, k11_cat_2(B!1, C!2), D!3)), A!0, B!1, k11_isocat_2(A!0, B!1, C!2, D!3), k11_isocat_2(A!0, B!1, C!2, D!3))) | m1_nattra_1(k13_isocat_2(A!0, B!1, C!2, D!3, D!3, k7_nattra_1(A!0, k11_cat_2(B!1, C!2), D!3)), A!0, B!1, k11_isocat_2(A!0, B!1, C!2, D!3), k11_isocat_2(A!0, B!1, C!2, D!3))),
% 36.83/23.52      inference(modus_ponens,[status(thm)],[256, 255])).
% 36.83/23.52  tff(258,plain,
% 36.83/23.52      ((~m2_nattra_1(k13_isocat_2(A!0, B!1, C!2, D!3, D!3, k7_nattra_1(A!0, k11_cat_2(B!1, C!2), D!3)), A!0, B!1, k11_isocat_2(A!0, B!1, C!2, D!3), k11_isocat_2(A!0, B!1, C!2, D!3))) | m1_nattra_1(k13_isocat_2(A!0, B!1, C!2, D!3, D!3, k7_nattra_1(A!0, k11_cat_2(B!1, C!2), D!3)), A!0, B!1, k11_isocat_2(A!0, B!1, C!2, D!3), k11_isocat_2(A!0, B!1, C!2, D!3))),
% 36.83/23.52      inference(unit_resolution,[status(thm)],[257, 254])).
% 36.83/23.52  tff(259,plain,
% 36.83/23.52      (m1_nattra_1(k13_isocat_2(A!0, B!1, C!2, D!3, D!3, k7_nattra_1(A!0, k11_cat_2(B!1, C!2), D!3)), A!0, B!1, k11_isocat_2(A!0, B!1, C!2, D!3), k11_isocat_2(A!0, B!1, C!2, D!3))),
% 36.83/23.52      inference(unit_resolution,[status(thm)],[258, 228])).
% 36.83/23.52  tff(260,plain,
% 36.83/23.52      (^[A: $i, B: $i, C: $i, D: $i] : refl(((~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)) | ![E: $i] : ((~m1_nattra_1(E, A, B, C, D)) | (~((~v1_funct_1(E)) | (~v1_funct_2(E, u1_cat_1(A), u2_cat_1(B))) | (~m2_relset_1(E, u1_cat_1(A), u2_cat_1(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)) | ![E: $i] : ((~m1_nattra_1(E, A, B, C, D)) | (~((~v1_funct_1(E)) | (~v1_funct_2(E, u1_cat_1(A), u2_cat_1(B))) | (~m2_relset_1(E, u1_cat_1(A), u2_cat_1(B))))))))),
% 36.83/23.52      inference(bind,[status(th)],[])).
% 36.83/23.52  tff(261,plain,
% 36.83/23.52      (![A: $i, B: $i, C: $i, D: $i] : ((~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)) | ![E: $i] : ((~m1_nattra_1(E, A, B, C, D)) | (~((~v1_funct_1(E)) | (~v1_funct_2(E, u1_cat_1(A), u2_cat_1(B))) | (~m2_relset_1(E, u1_cat_1(A), u2_cat_1(B))))))) <=> ![A: $i, B: $i, C: $i, D: $i] : ((~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)) | ![E: $i] : ((~m1_nattra_1(E, A, B, C, D)) | (~((~v1_funct_1(E)) | (~v1_funct_2(E, u1_cat_1(A), u2_cat_1(B))) | (~m2_relset_1(E, u1_cat_1(A), u2_cat_1(B)))))))),
% 36.83/23.52      inference(quant_intro,[status(thm)],[260])).
% 36.83/23.52  tff(262,plain,
% 36.83/23.52      (^[A: $i, B: $i, C: $i, D: $i] : rewrite(((~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)) | ![E: $i] : ((~m1_nattra_1(E, A, B, C, D)) | (~((~v1_funct_1(E)) | (~v1_funct_2(E, u1_cat_1(A), u2_cat_1(B))) | (~m2_relset_1(E, u1_cat_1(A), u2_cat_1(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)) | ![E: $i] : ((~m1_nattra_1(E, A, B, C, D)) | (~((~v1_funct_1(E)) | (~v1_funct_2(E, u1_cat_1(A), u2_cat_1(B))) | (~m2_relset_1(E, u1_cat_1(A), u2_cat_1(B))))))))),
% 36.83/23.52      inference(bind,[status(th)],[])).
% 36.83/23.52  tff(263,plain,
% 36.83/23.52      (![A: $i, B: $i, C: $i, D: $i] : ((~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)) | ![E: $i] : ((~m1_nattra_1(E, A, B, C, D)) | (~((~v1_funct_1(E)) | (~v1_funct_2(E, u1_cat_1(A), u2_cat_1(B))) | (~m2_relset_1(E, u1_cat_1(A), u2_cat_1(B))))))) <=> ![A: $i, B: $i, C: $i, D: $i] : ((~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)) | ![E: $i] : ((~m1_nattra_1(E, A, B, C, D)) | (~((~v1_funct_1(E)) | (~v1_funct_2(E, u1_cat_1(A), u2_cat_1(B))) | (~m2_relset_1(E, u1_cat_1(A), u2_cat_1(B)))))))),
% 36.83/23.52      inference(quant_intro,[status(thm)],[262])).
% 36.83/23.52  tff(264,plain,
% 36.83/23.52      (![A: $i, B: $i, C: $i, D: $i] : ((~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)) | ![E: $i] : ((~m1_nattra_1(E, A, B, C, D)) | (~((~v1_funct_1(E)) | (~v1_funct_2(E, u1_cat_1(A), u2_cat_1(B))) | (~m2_relset_1(E, u1_cat_1(A), u2_cat_1(B))))))) <=> ![A: $i, B: $i, C: $i, D: $i] : ((~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)) | ![E: $i] : ((~m1_nattra_1(E, A, B, C, D)) | (~((~v1_funct_1(E)) | (~v1_funct_2(E, u1_cat_1(A), u2_cat_1(B))) | (~m2_relset_1(E, u1_cat_1(A), u2_cat_1(B)))))))),
% 36.83/23.52      inference(transitivity,[status(thm)],[263, 261])).
% 36.83/23.52  tff(265,plain,
% 36.83/23.52      (^[A: $i, B: $i, C: $i, D: $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(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))))), ((~(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(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))))))), rewrite((~(~((~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)))), ((~(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(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))))), quant_intro(proof_bind(^[E: $i] : rewrite(((~m1_nattra_1(E, A, B, C, D)) | (v1_funct_1(E) & v1_funct_2(E, u1_cat_1(A), u2_cat_1(B)) & m2_relset_1(E, u1_cat_1(A), u2_cat_1(B)))) <=> ((~m1_nattra_1(E, A, B, C, D)) | (~((~v1_funct_1(E)) | (~v1_funct_2(E, u1_cat_1(A), u2_cat_1(B))) | (~m2_relset_1(E, u1_cat_1(A), u2_cat_1(B)))))))), (![E: $i] : ((~m1_nattra_1(E, A, B, C, D)) | (v1_funct_1(E) & v1_funct_2(E, u1_cat_1(A), u2_cat_1(B)) & m2_relset_1(E, u1_cat_1(A), u2_cat_1(B)))) <=> ![E: $i] : ((~m1_nattra_1(E, A, B, C, D)) | (~((~v1_funct_1(E)) | (~v1_funct_2(E, u1_cat_1(A), u2_cat_1(B))) | (~m2_relset_1(E, u1_cat_1(A), u2_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) & m2_cat_1(D, A, B))) | ![E: $i] : ((~m1_nattra_1(E, A, B, C, D)) | (v1_funct_1(E) & v1_funct_2(E, u1_cat_1(A), u2_cat_1(B)) & m2_relset_1(E, u1_cat_1(A), u2_cat_1(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))) | ![E: $i] : ((~m1_nattra_1(E, A, B, C, D)) | (~((~v1_funct_1(E)) | (~v1_funct_2(E, u1_cat_1(A), u2_cat_1(B))) | (~m2_relset_1(E, u1_cat_1(A), u2_cat_1(B))))))))), rewrite((((~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))) | ![E: $i] : ((~m1_nattra_1(E, A, B, C, D)) | (~((~v1_funct_1(E)) | (~v1_funct_2(E, u1_cat_1(A), u2_cat_1(B))) | (~m2_relset_1(E, u1_cat_1(A), u2_cat_1(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)) | ![E: $i] : ((~m1_nattra_1(E, A, B, C, D)) | (~((~v1_funct_1(E)) | (~v1_funct_2(E, u1_cat_1(A), u2_cat_1(B))) | (~m2_relset_1(E, u1_cat_1(A), u2_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) & m2_cat_1(D, A, B))) | ![E: $i] : ((~m1_nattra_1(E, A, B, C, D)) | (v1_funct_1(E) & v1_funct_2(E, u1_cat_1(A), u2_cat_1(B)) & m2_relset_1(E, u1_cat_1(A), u2_cat_1(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)) | ![E: $i] : ((~m1_nattra_1(E, A, B, C, D)) | (~((~v1_funct_1(E)) | (~v1_funct_2(E, u1_cat_1(A), u2_cat_1(B))) | (~m2_relset_1(E, u1_cat_1(A), u2_cat_1(B)))))))))),
% 36.83/23.52      inference(bind,[status(th)],[])).
% 36.83/23.52  tff(266,plain,
% 36.83/23.52      (![A: $i, B: $i, C: $i, D: $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))) | ![E: $i] : ((~m1_nattra_1(E, A, B, C, D)) | (v1_funct_1(E) & v1_funct_2(E, u1_cat_1(A), u2_cat_1(B)) & m2_relset_1(E, u1_cat_1(A), u2_cat_1(B))))) <=> ![A: $i, B: $i, C: $i, D: $i] : ((~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)) | ![E: $i] : ((~m1_nattra_1(E, A, B, C, D)) | (~((~v1_funct_1(E)) | (~v1_funct_2(E, u1_cat_1(A), u2_cat_1(B))) | (~m2_relset_1(E, u1_cat_1(A), u2_cat_1(B)))))))),
% 36.83/23.52      inference(quant_intro,[status(thm)],[265])).
% 36.83/23.52  tff(267,plain,
% 36.83/23.52      (![A: $i, B: $i, C: $i, D: $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))) | ![E: $i] : ((~m1_nattra_1(E, A, B, C, D)) | (v1_funct_1(E) & v1_funct_2(E, u1_cat_1(A), u2_cat_1(B)) & m2_relset_1(E, u1_cat_1(A), u2_cat_1(B))))) <=> ![A: $i, B: $i, C: $i, D: $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))) | ![E: $i] : ((~m1_nattra_1(E, A, B, C, D)) | (v1_funct_1(E) & v1_funct_2(E, u1_cat_1(A), u2_cat_1(B)) & m2_relset_1(E, u1_cat_1(A), u2_cat_1(B)))))),
% 36.83/23.52      inference(rewrite,[status(thm)],[])).
% 36.83/23.52  tff(268,plain,
% 36.83/23.52      (^[A: $i, B: $i, C: $i, D: $i] : 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)))), quant_intro(proof_bind(^[E: $i] : trans(monotonicity(rewrite(((v1_funct_1(E) & v1_funct_2(E, u1_cat_1(A), u2_cat_1(B))) & m2_relset_1(E, u1_cat_1(A), u2_cat_1(B))) <=> (v1_funct_1(E) & v1_funct_2(E, u1_cat_1(A), u2_cat_1(B)) & m2_relset_1(E, u1_cat_1(A), u2_cat_1(B)))), ((m1_nattra_1(E, A, B, C, D) => ((v1_funct_1(E) & v1_funct_2(E, u1_cat_1(A), u2_cat_1(B))) & m2_relset_1(E, u1_cat_1(A), u2_cat_1(B)))) <=> (m1_nattra_1(E, A, B, C, D) => (v1_funct_1(E) & v1_funct_2(E, u1_cat_1(A), u2_cat_1(B)) & m2_relset_1(E, u1_cat_1(A), u2_cat_1(B)))))), rewrite((m1_nattra_1(E, A, B, C, D) => (v1_funct_1(E) & v1_funct_2(E, u1_cat_1(A), u2_cat_1(B)) & m2_relset_1(E, u1_cat_1(A), u2_cat_1(B)))) <=> ((~m1_nattra_1(E, A, B, C, D)) | (v1_funct_1(E) & v1_funct_2(E, u1_cat_1(A), u2_cat_1(B)) & m2_relset_1(E, u1_cat_1(A), u2_cat_1(B))))), ((m1_nattra_1(E, A, B, C, D) => ((v1_funct_1(E) & v1_funct_2(E, u1_cat_1(A), u2_cat_1(B))) & m2_relset_1(E, u1_cat_1(A), u2_cat_1(B)))) <=> ((~m1_nattra_1(E, A, B, C, D)) | (v1_funct_1(E) & v1_funct_2(E, u1_cat_1(A), u2_cat_1(B)) & m2_relset_1(E, u1_cat_1(A), u2_cat_1(B))))))), (![E: $i] : (m1_nattra_1(E, A, B, C, D) => ((v1_funct_1(E) & v1_funct_2(E, u1_cat_1(A), u2_cat_1(B))) & m2_relset_1(E, u1_cat_1(A), u2_cat_1(B)))) <=> ![E: $i] : ((~m1_nattra_1(E, A, B, C, D)) | (v1_funct_1(E) & v1_funct_2(E, u1_cat_1(A), u2_cat_1(B)) & m2_relset_1(E, u1_cat_1(A), u2_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)) & m2_cat_1(D, A, B)) => ![E: $i] : (m1_nattra_1(E, A, B, C, D) => ((v1_funct_1(E) & v1_funct_2(E, u1_cat_1(A), u2_cat_1(B))) & m2_relset_1(E, u1_cat_1(A), u2_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) & m2_cat_1(D, A, B)) => ![E: $i] : ((~m1_nattra_1(E, A, B, C, D)) | (v1_funct_1(E) & v1_funct_2(E, u1_cat_1(A), u2_cat_1(B)) & m2_relset_1(E, u1_cat_1(A), u2_cat_1(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)) => ![E: $i] : ((~m1_nattra_1(E, A, B, C, D)) | (v1_funct_1(E) & v1_funct_2(E, u1_cat_1(A), u2_cat_1(B)) & m2_relset_1(E, u1_cat_1(A), u2_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) & m2_cat_1(D, A, B))) | ![E: $i] : ((~m1_nattra_1(E, A, B, C, D)) | (v1_funct_1(E) & v1_funct_2(E, u1_cat_1(A), u2_cat_1(B)) & m2_relset_1(E, u1_cat_1(A), u2_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)) & m2_cat_1(D, A, B)) => ![E: $i] : (m1_nattra_1(E, A, B, C, D) => ((v1_funct_1(E) & v1_funct_2(E, u1_cat_1(A), u2_cat_1(B))) & m2_relset_1(E, u1_cat_1(A), u2_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) & m2_cat_1(D, A, B))) | ![E: $i] : ((~m1_nattra_1(E, A, B, C, D)) | (v1_funct_1(E) & v1_funct_2(E, u1_cat_1(A), u2_cat_1(B)) & m2_relset_1(E, u1_cat_1(A), u2_cat_1(B)))))))),
% 36.83/23.52      inference(bind,[status(th)],[])).
% 36.83/23.52  tff(269,plain,
% 36.83/23.52      (![A: $i, B: $i, C: $i, D: $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)) => ![E: $i] : (m1_nattra_1(E, A, B, C, D) => ((v1_funct_1(E) & v1_funct_2(E, u1_cat_1(A), u2_cat_1(B))) & m2_relset_1(E, u1_cat_1(A), u2_cat_1(B))))) <=> ![A: $i, B: $i, C: $i, D: $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))) | ![E: $i] : ((~m1_nattra_1(E, A, B, C, D)) | (v1_funct_1(E) & v1_funct_2(E, u1_cat_1(A), u2_cat_1(B)) & m2_relset_1(E, u1_cat_1(A), u2_cat_1(B)))))),
% 36.83/23.52      inference(quant_intro,[status(thm)],[268])).
% 36.83/23.52  tff(270,axiom,(![A: $i, B: $i, C: $i, D: $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)) => ![E: $i] : (m1_nattra_1(E, A, B, C, D) => ((v1_funct_1(E) & v1_funct_2(E, u1_cat_1(A), u2_cat_1(B))) & m2_relset_1(E, u1_cat_1(A), u2_cat_1(B)))))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','dt_m1_nattra_1')).
% 36.83/23.52  tff(271,plain,
% 36.83/23.52      (![A: $i, B: $i, C: $i, D: $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))) | ![E: $i] : ((~m1_nattra_1(E, A, B, C, D)) | (v1_funct_1(E) & v1_funct_2(E, u1_cat_1(A), u2_cat_1(B)) & m2_relset_1(E, u1_cat_1(A), u2_cat_1(B)))))),
% 36.83/23.52      inference(modus_ponens,[status(thm)],[270, 269])).
% 36.83/23.53  tff(272,plain,
% 36.83/23.53      (![A: $i, B: $i, C: $i, D: $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))) | ![E: $i] : ((~m1_nattra_1(E, A, B, C, D)) | (v1_funct_1(E) & v1_funct_2(E, u1_cat_1(A), u2_cat_1(B)) & m2_relset_1(E, u1_cat_1(A), u2_cat_1(B)))))),
% 36.83/23.53      inference(modus_ponens,[status(thm)],[271, 267])).
% 36.83/23.53  tff(273,plain,(
% 36.83/23.53      ![A: $i, B: $i, C: $i, D: $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))) | ![E: $i] : ((~m1_nattra_1(E, A, B, C, D)) | (v1_funct_1(E) & v1_funct_2(E, u1_cat_1(A), u2_cat_1(B)) & m2_relset_1(E, u1_cat_1(A), u2_cat_1(B)))))),
% 36.83/23.53      inference(skolemize,[status(sab)],[272])).
% 36.83/23.53  tff(274,plain,
% 36.83/23.53      (![A: $i, B: $i, C: $i, D: $i] : ((~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)) | ![E: $i] : ((~m1_nattra_1(E, A, B, C, D)) | (~((~v1_funct_1(E)) | (~v1_funct_2(E, u1_cat_1(A), u2_cat_1(B))) | (~m2_relset_1(E, u1_cat_1(A), u2_cat_1(B)))))))),
% 36.83/23.53      inference(modus_ponens,[status(thm)],[273, 266])).
% 36.83/23.53  tff(275,plain,
% 36.83/23.53      (![A: $i, B: $i, C: $i, D: $i] : ((~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)) | ![E: $i] : ((~m1_nattra_1(E, A, B, C, D)) | (~((~v1_funct_1(E)) | (~v1_funct_2(E, u1_cat_1(A), u2_cat_1(B))) | (~m2_relset_1(E, u1_cat_1(A), u2_cat_1(B)))))))),
% 36.83/23.53      inference(modus_ponens,[status(thm)],[274, 264])).
% 36.83/23.53  tff(276,plain,
% 36.83/23.53      (((~![A: $i, B: $i, C: $i, D: $i] : ((~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)) | ![E: $i] : ((~m1_nattra_1(E, A, B, C, D)) | (~((~v1_funct_1(E)) | (~v1_funct_2(E, u1_cat_1(A), u2_cat_1(B))) | (~m2_relset_1(E, u1_cat_1(A), u2_cat_1(B)))))))) | ((~v2_cat_1(A!0)) | (~l1_cat_1(A!0)) | (~v2_cat_1(B!1)) | (~l1_cat_1(B!1)) | (~m2_cat_1(k11_isocat_2(A!0, B!1, C!2, D!3), A!0, B!1)) | ![E: $i] : ((~m1_nattra_1(E, A!0, B!1, k11_isocat_2(A!0, B!1, C!2, D!3), k11_isocat_2(A!0, B!1, C!2, D!3))) | (~((~v1_funct_1(E)) | (~v1_funct_2(E, u1_cat_1(A!0), u2_cat_1(B!1))) | (~m2_relset_1(E, u1_cat_1(A!0), u2_cat_1(B!1)))))))) <=> ((~![A: $i, B: $i, C: $i, D: $i] : ((~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)) | ![E: $i] : ((~m1_nattra_1(E, A, B, C, D)) | (~((~v1_funct_1(E)) | (~v1_funct_2(E, u1_cat_1(A), u2_cat_1(B))) | (~m2_relset_1(E, u1_cat_1(A), u2_cat_1(B)))))))) | (~v2_cat_1(A!0)) | (~l1_cat_1(A!0)) | (~v2_cat_1(B!1)) | (~l1_cat_1(B!1)) | (~m2_cat_1(k11_isocat_2(A!0, B!1, C!2, D!3), A!0, B!1)) | ![E: $i] : ((~m1_nattra_1(E, A!0, B!1, k11_isocat_2(A!0, B!1, C!2, D!3), k11_isocat_2(A!0, B!1, C!2, D!3))) | (~((~v1_funct_1(E)) | (~v1_funct_2(E, u1_cat_1(A!0), u2_cat_1(B!1))) | (~m2_relset_1(E, u1_cat_1(A!0), u2_cat_1(B!1)))))))),
% 36.83/23.53      inference(rewrite,[status(thm)],[])).
% 36.83/23.53  tff(277,plain,
% 36.83/23.53      (((~m2_cat_1(k11_isocat_2(A!0, B!1, C!2, D!3), A!0, B!1)) | (~v2_cat_1(A!0)) | (~l1_cat_1(A!0)) | (~v2_cat_1(B!1)) | (~l1_cat_1(B!1)) | (~m2_cat_1(k11_isocat_2(A!0, B!1, C!2, D!3), A!0, B!1)) | ![E: $i] : ((~m1_nattra_1(E, A!0, B!1, k11_isocat_2(A!0, B!1, C!2, D!3), k11_isocat_2(A!0, B!1, C!2, D!3))) | (~((~v1_funct_1(E)) | (~v1_funct_2(E, u1_cat_1(A!0), u2_cat_1(B!1))) | (~m2_relset_1(E, u1_cat_1(A!0), u2_cat_1(B!1))))))) <=> ((~v2_cat_1(A!0)) | (~l1_cat_1(A!0)) | (~v2_cat_1(B!1)) | (~l1_cat_1(B!1)) | (~m2_cat_1(k11_isocat_2(A!0, B!1, C!2, D!3), A!0, B!1)) | ![E: $i] : ((~m1_nattra_1(E, A!0, B!1, k11_isocat_2(A!0, B!1, C!2, D!3), k11_isocat_2(A!0, B!1, C!2, D!3))) | (~((~v1_funct_1(E)) | (~v1_funct_2(E, u1_cat_1(A!0), u2_cat_1(B!1))) | (~m2_relset_1(E, u1_cat_1(A!0), u2_cat_1(B!1)))))))),
% 36.83/23.53      inference(rewrite,[status(thm)],[])).
% 36.83/23.53  tff(278,plain,
% 36.83/23.53      (((~![A: $i, B: $i, C: $i, D: $i] : ((~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)) | ![E: $i] : ((~m1_nattra_1(E, A, B, C, D)) | (~((~v1_funct_1(E)) | (~v1_funct_2(E, u1_cat_1(A), u2_cat_1(B))) | (~m2_relset_1(E, u1_cat_1(A), u2_cat_1(B)))))))) | ((~m2_cat_1(k11_isocat_2(A!0, B!1, C!2, D!3), A!0, B!1)) | (~v2_cat_1(A!0)) | (~l1_cat_1(A!0)) | (~v2_cat_1(B!1)) | (~l1_cat_1(B!1)) | (~m2_cat_1(k11_isocat_2(A!0, B!1, C!2, D!3), A!0, B!1)) | ![E: $i] : ((~m1_nattra_1(E, A!0, B!1, k11_isocat_2(A!0, B!1, C!2, D!3), k11_isocat_2(A!0, B!1, C!2, D!3))) | (~((~v1_funct_1(E)) | (~v1_funct_2(E, u1_cat_1(A!0), u2_cat_1(B!1))) | (~m2_relset_1(E, u1_cat_1(A!0), u2_cat_1(B!1)))))))) <=> ((~![A: $i, B: $i, C: $i, D: $i] : ((~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)) | ![E: $i] : ((~m1_nattra_1(E, A, B, C, D)) | (~((~v1_funct_1(E)) | (~v1_funct_2(E, u1_cat_1(A), u2_cat_1(B))) | (~m2_relset_1(E, u1_cat_1(A), u2_cat_1(B)))))))) | ((~v2_cat_1(A!0)) | (~l1_cat_1(A!0)) | (~v2_cat_1(B!1)) | (~l1_cat_1(B!1)) | (~m2_cat_1(k11_isocat_2(A!0, B!1, C!2, D!3), A!0, B!1)) | ![E: $i] : ((~m1_nattra_1(E, A!0, B!1, k11_isocat_2(A!0, B!1, C!2, D!3), k11_isocat_2(A!0, B!1, C!2, D!3))) | (~((~v1_funct_1(E)) | (~v1_funct_2(E, u1_cat_1(A!0), u2_cat_1(B!1))) | (~m2_relset_1(E, u1_cat_1(A!0), u2_cat_1(B!1))))))))),
% 36.83/23.53      inference(monotonicity,[status(thm)],[277])).
% 36.83/23.53  tff(279,plain,
% 36.83/23.53      (((~![A: $i, B: $i, C: $i, D: $i] : ((~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)) | ![E: $i] : ((~m1_nattra_1(E, A, B, C, D)) | (~((~v1_funct_1(E)) | (~v1_funct_2(E, u1_cat_1(A), u2_cat_1(B))) | (~m2_relset_1(E, u1_cat_1(A), u2_cat_1(B)))))))) | ((~m2_cat_1(k11_isocat_2(A!0, B!1, C!2, D!3), A!0, B!1)) | (~v2_cat_1(A!0)) | (~l1_cat_1(A!0)) | (~v2_cat_1(B!1)) | (~l1_cat_1(B!1)) | (~m2_cat_1(k11_isocat_2(A!0, B!1, C!2, D!3), A!0, B!1)) | ![E: $i] : ((~m1_nattra_1(E, A!0, B!1, k11_isocat_2(A!0, B!1, C!2, D!3), k11_isocat_2(A!0, B!1, C!2, D!3))) | (~((~v1_funct_1(E)) | (~v1_funct_2(E, u1_cat_1(A!0), u2_cat_1(B!1))) | (~m2_relset_1(E, u1_cat_1(A!0), u2_cat_1(B!1)))))))) <=> ((~![A: $i, B: $i, C: $i, D: $i] : ((~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)) | ![E: $i] : ((~m1_nattra_1(E, A, B, C, D)) | (~((~v1_funct_1(E)) | (~v1_funct_2(E, u1_cat_1(A), u2_cat_1(B))) | (~m2_relset_1(E, u1_cat_1(A), u2_cat_1(B)))))))) | (~v2_cat_1(A!0)) | (~l1_cat_1(A!0)) | (~v2_cat_1(B!1)) | (~l1_cat_1(B!1)) | (~m2_cat_1(k11_isocat_2(A!0, B!1, C!2, D!3), A!0, B!1)) | ![E: $i] : ((~m1_nattra_1(E, A!0, B!1, k11_isocat_2(A!0, B!1, C!2, D!3), k11_isocat_2(A!0, B!1, C!2, D!3))) | (~((~v1_funct_1(E)) | (~v1_funct_2(E, u1_cat_1(A!0), u2_cat_1(B!1))) | (~m2_relset_1(E, u1_cat_1(A!0), u2_cat_1(B!1)))))))),
% 36.83/23.53      inference(transitivity,[status(thm)],[278, 276])).
% 36.83/23.53  tff(280,plain,
% 36.83/23.53      ((~![A: $i, B: $i, C: $i, D: $i] : ((~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)) | ![E: $i] : ((~m1_nattra_1(E, A, B, C, D)) | (~((~v1_funct_1(E)) | (~v1_funct_2(E, u1_cat_1(A), u2_cat_1(B))) | (~m2_relset_1(E, u1_cat_1(A), u2_cat_1(B)))))))) | ((~m2_cat_1(k11_isocat_2(A!0, B!1, C!2, D!3), A!0, B!1)) | (~v2_cat_1(A!0)) | (~l1_cat_1(A!0)) | (~v2_cat_1(B!1)) | (~l1_cat_1(B!1)) | (~m2_cat_1(k11_isocat_2(A!0, B!1, C!2, D!3), A!0, B!1)) | ![E: $i] : ((~m1_nattra_1(E, A!0, B!1, k11_isocat_2(A!0, B!1, C!2, D!3), k11_isocat_2(A!0, B!1, C!2, D!3))) | (~((~v1_funct_1(E)) | (~v1_funct_2(E, u1_cat_1(A!0), u2_cat_1(B!1))) | (~m2_relset_1(E, u1_cat_1(A!0), u2_cat_1(B!1)))))))),
% 36.83/23.53      inference(quant_inst,[status(thm)],[])).
% 36.83/23.53  tff(281,plain,
% 36.83/23.53      ((~![A: $i, B: $i, C: $i, D: $i] : ((~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)) | ![E: $i] : ((~m1_nattra_1(E, A, B, C, D)) | (~((~v1_funct_1(E)) | (~v1_funct_2(E, u1_cat_1(A), u2_cat_1(B))) | (~m2_relset_1(E, u1_cat_1(A), u2_cat_1(B)))))))) | (~v2_cat_1(A!0)) | (~l1_cat_1(A!0)) | (~v2_cat_1(B!1)) | (~l1_cat_1(B!1)) | (~m2_cat_1(k11_isocat_2(A!0, B!1, C!2, D!3), A!0, B!1)) | ![E: $i] : ((~m1_nattra_1(E, A!0, B!1, k11_isocat_2(A!0, B!1, C!2, D!3), k11_isocat_2(A!0, B!1, C!2, D!3))) | (~((~v1_funct_1(E)) | (~v1_funct_2(E, u1_cat_1(A!0), u2_cat_1(B!1))) | (~m2_relset_1(E, u1_cat_1(A!0), u2_cat_1(B!1))))))),
% 36.83/23.54      inference(modus_ponens,[status(thm)],[280, 279])).
% 36.83/23.54  tff(282,plain,
% 36.83/23.54      (![E: $i] : ((~m1_nattra_1(E, A!0, B!1, k11_isocat_2(A!0, B!1, C!2, D!3), k11_isocat_2(A!0, B!1, C!2, D!3))) | (~((~v1_funct_1(E)) | (~v1_funct_2(E, u1_cat_1(A!0), u2_cat_1(B!1))) | (~m2_relset_1(E, u1_cat_1(A!0), u2_cat_1(B!1))))))),
% 36.83/23.54      inference(unit_resolution,[status(thm)],[281, 71, 70, 40, 39, 275, 192])).
% 36.83/23.54  tff(283,plain,
% 36.83/23.54      (((~![E: $i] : ((~m1_nattra_1(E, A!0, B!1, k11_isocat_2(A!0, B!1, C!2, D!3), k11_isocat_2(A!0, B!1, C!2, D!3))) | (~((~v1_funct_1(E)) | (~v1_funct_2(E, u1_cat_1(A!0), u2_cat_1(B!1))) | (~m2_relset_1(E, u1_cat_1(A!0), u2_cat_1(B!1))))))) | ((~m1_nattra_1(k13_isocat_2(A!0, B!1, C!2, D!3, D!3, k7_nattra_1(A!0, k11_cat_2(B!1, C!2), D!3)), A!0, B!1, k11_isocat_2(A!0, B!1, C!2, D!3), k11_isocat_2(A!0, B!1, C!2, D!3))) | (~((~v1_funct_1(k13_isocat_2(A!0, B!1, C!2, D!3, D!3, k7_nattra_1(A!0, k11_cat_2(B!1, C!2), D!3)))) | (~v1_funct_2(k13_isocat_2(A!0, B!1, C!2, D!3, D!3, k7_nattra_1(A!0, k11_cat_2(B!1, C!2), D!3)), u1_cat_1(A!0), u2_cat_1(B!1))) | (~m2_relset_1(k13_isocat_2(A!0, B!1, C!2, D!3, D!3, k7_nattra_1(A!0, k11_cat_2(B!1, C!2), D!3)), u1_cat_1(A!0), u2_cat_1(B!1))))))) <=> ((~![E: $i] : ((~m1_nattra_1(E, A!0, B!1, k11_isocat_2(A!0, B!1, C!2, D!3), k11_isocat_2(A!0, B!1, C!2, D!3))) | (~((~v1_funct_1(E)) | (~v1_funct_2(E, u1_cat_1(A!0), u2_cat_1(B!1))) | (~m2_relset_1(E, u1_cat_1(A!0), u2_cat_1(B!1))))))) | (~m1_nattra_1(k13_isocat_2(A!0, B!1, C!2, D!3, D!3, k7_nattra_1(A!0, k11_cat_2(B!1, C!2), D!3)), A!0, B!1, k11_isocat_2(A!0, B!1, C!2, D!3), k11_isocat_2(A!0, B!1, C!2, D!3))) | (~((~v1_funct_1(k13_isocat_2(A!0, B!1, C!2, D!3, D!3, k7_nattra_1(A!0, k11_cat_2(B!1, C!2), D!3)))) | (~v1_funct_2(k13_isocat_2(A!0, B!1, C!2, D!3, D!3, k7_nattra_1(A!0, k11_cat_2(B!1, C!2), D!3)), u1_cat_1(A!0), u2_cat_1(B!1))) | (~m2_relset_1(k13_isocat_2(A!0, B!1, C!2, D!3, D!3, k7_nattra_1(A!0, k11_cat_2(B!1, C!2), D!3)), u1_cat_1(A!0), u2_cat_1(B!1))))))),
% 36.83/23.54      inference(rewrite,[status(thm)],[])).
% 36.83/23.54  tff(284,plain,
% 36.83/23.54      ((~![E: $i] : ((~m1_nattra_1(E, A!0, B!1, k11_isocat_2(A!0, B!1, C!2, D!3), k11_isocat_2(A!0, B!1, C!2, D!3))) | (~((~v1_funct_1(E)) | (~v1_funct_2(E, u1_cat_1(A!0), u2_cat_1(B!1))) | (~m2_relset_1(E, u1_cat_1(A!0), u2_cat_1(B!1))))))) | ((~m1_nattra_1(k13_isocat_2(A!0, B!1, C!2, D!3, D!3, k7_nattra_1(A!0, k11_cat_2(B!1, C!2), D!3)), A!0, B!1, k11_isocat_2(A!0, B!1, C!2, D!3), k11_isocat_2(A!0, B!1, C!2, D!3))) | (~((~v1_funct_1(k13_isocat_2(A!0, B!1, C!2, D!3, D!3, k7_nattra_1(A!0, k11_cat_2(B!1, C!2), D!3)))) | (~v1_funct_2(k13_isocat_2(A!0, B!1, C!2, D!3, D!3, k7_nattra_1(A!0, k11_cat_2(B!1, C!2), D!3)), u1_cat_1(A!0), u2_cat_1(B!1))) | (~m2_relset_1(k13_isocat_2(A!0, B!1, C!2, D!3, D!3, k7_nattra_1(A!0, k11_cat_2(B!1, C!2), D!3)), u1_cat_1(A!0), u2_cat_1(B!1))))))),
% 36.83/23.54      inference(quant_inst,[status(thm)],[])).
% 36.83/23.54  tff(285,plain,
% 36.83/23.54      ((~![E: $i] : ((~m1_nattra_1(E, A!0, B!1, k11_isocat_2(A!0, B!1, C!2, D!3), k11_isocat_2(A!0, B!1, C!2, D!3))) | (~((~v1_funct_1(E)) | (~v1_funct_2(E, u1_cat_1(A!0), u2_cat_1(B!1))) | (~m2_relset_1(E, u1_cat_1(A!0), u2_cat_1(B!1))))))) | (~m1_nattra_1(k13_isocat_2(A!0, B!1, C!2, D!3, D!3, k7_nattra_1(A!0, k11_cat_2(B!1, C!2), D!3)), A!0, B!1, k11_isocat_2(A!0, B!1, C!2, D!3), k11_isocat_2(A!0, B!1, C!2, D!3))) | (~((~v1_funct_1(k13_isocat_2(A!0, B!1, C!2, D!3, D!3, k7_nattra_1(A!0, k11_cat_2(B!1, C!2), D!3)))) | (~v1_funct_2(k13_isocat_2(A!0, B!1, C!2, D!3, D!3, k7_nattra_1(A!0, k11_cat_2(B!1, C!2), D!3)), u1_cat_1(A!0), u2_cat_1(B!1))) | (~m2_relset_1(k13_isocat_2(A!0, B!1, C!2, D!3, D!3, k7_nattra_1(A!0, k11_cat_2(B!1, C!2), D!3)), u1_cat_1(A!0), u2_cat_1(B!1)))))),
% 36.83/23.54      inference(modus_ponens,[status(thm)],[284, 283])).
% 36.83/23.54  tff(286,plain,
% 36.83/23.54      (~((~v1_funct_1(k13_isocat_2(A!0, B!1, C!2, D!3, D!3, k7_nattra_1(A!0, k11_cat_2(B!1, C!2), D!3)))) | (~v1_funct_2(k13_isocat_2(A!0, B!1, C!2, D!3, D!3, k7_nattra_1(A!0, k11_cat_2(B!1, C!2), D!3)), u1_cat_1(A!0), u2_cat_1(B!1))) | (~m2_relset_1(k13_isocat_2(A!0, B!1, C!2, D!3, D!3, k7_nattra_1(A!0, k11_cat_2(B!1, C!2), D!3)), u1_cat_1(A!0), u2_cat_1(B!1))))),
% 36.83/23.54      inference(unit_resolution,[status(thm)],[285, 282, 259])).
% 36.83/23.54  tff(287,plain,
% 36.83/23.54      (((~v1_funct_1(k13_isocat_2(A!0, B!1, C!2, D!3, D!3, k7_nattra_1(A!0, k11_cat_2(B!1, C!2), D!3)))) | (~v1_funct_2(k13_isocat_2(A!0, B!1, C!2, D!3, D!3, k7_nattra_1(A!0, k11_cat_2(B!1, C!2), D!3)), u1_cat_1(A!0), u2_cat_1(B!1))) | (~m2_relset_1(k13_isocat_2(A!0, B!1, C!2, D!3, D!3, k7_nattra_1(A!0, k11_cat_2(B!1, C!2), D!3)), u1_cat_1(A!0), u2_cat_1(B!1)))) | v1_funct_1(k13_isocat_2(A!0, B!1, C!2, D!3, D!3, k7_nattra_1(A!0, k11_cat_2(B!1, C!2), D!3)))),
% 36.83/23.54      inference(tautology,[status(thm)],[])).
% 36.83/23.54  tff(288,plain,
% 36.83/23.54      (v1_funct_1(k13_isocat_2(A!0, B!1, C!2, D!3, D!3, k7_nattra_1(A!0, k11_cat_2(B!1, C!2), D!3)))),
% 36.83/23.54      inference(unit_resolution,[status(thm)],[287, 286])).
% 36.83/23.54  tff(289,plain,
% 36.83/23.54      (v1_funct_1(k6_isocat_1(A!0, k11_cat_2(B!1, C!2), B!1, D!3, D!3, k7_nattra_1(A!0, k11_cat_2(B!1, C!2), D!3), k16_cat_2(B!1, C!2)))),
% 36.83/23.54      inference(modus_ponens,[status(thm)],[288, 203])).
% 36.83/23.54  tff(290,plain,
% 36.83/23.54      (^[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))))))))),
% 36.83/23.54      inference(bind,[status(th)],[])).
% 36.83/23.54  tff(291,plain,
% 36.83/23.54      (![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)))))))),
% 36.83/23.54      inference(quant_intro,[status(thm)],[290])).
% 36.83/23.54  tff(292,plain,
% 36.83/23.54      (^[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))))))),
% 36.83/23.54      inference(bind,[status(th)],[])).
% 36.83/23.54  tff(293,plain,
% 36.83/23.54      (![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)))))),
% 36.83/23.54      inference(quant_intro,[status(thm)],[292])).
% 36.83/23.54  tff(294,plain,
% 36.83/23.54      (^[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))))))),
% 36.83/23.54      inference(bind,[status(th)],[])).
% 36.83/23.54  tff(295,plain,
% 36.83/23.54      (![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)))))),
% 36.83/23.54      inference(quant_intro,[status(thm)],[294])).
% 36.83/23.54  tff(296,plain,
% 36.83/23.54      (![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)))))),
% 36.83/23.54      inference(transitivity,[status(thm)],[295, 293])).
% 36.83/23.54  tff(297,plain,
% 36.83/23.54      (^[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)))))))),
% 36.85/23.54      inference(bind,[status(th)],[])).
% 36.85/23.54  tff(298,plain,
% 36.85/23.54      (![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)))))),
% 36.85/23.54      inference(quant_intro,[status(thm)],[297])).
% 36.85/23.54  tff(299,plain,
% 36.85/23.54      (![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)))))))),
% 36.85/23.54      inference(rewrite,[status(thm)],[])).
% 36.85/23.54  tff(300,plain,
% 36.85/23.54      (^[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)))))))))),
% 36.85/23.55      inference(bind,[status(th)],[])).
% 36.85/23.55  tff(301,plain,
% 36.85/23.55      (![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)))))))),
% 36.85/23.55      inference(quant_intro,[status(thm)],[300])).
% 36.85/23.55  tff(302,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')).
% 36.85/23.55  tff(303,plain,
% 36.85/23.55      (![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)))))))),
% 36.85/23.55      inference(modus_ponens,[status(thm)],[302, 301])).
% 36.85/23.55  tff(304,plain,
% 36.85/23.55      (![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)))))))),
% 36.85/23.55      inference(modus_ponens,[status(thm)],[303, 299])).
% 36.85/23.55  tff(305,plain,(
% 36.85/23.55      ![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)))))))),
% 36.85/23.55      inference(skolemize,[status(sab)],[304])).
% 36.85/23.55  tff(306,plain,
% 36.85/23.55      (![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)))))),
% 36.85/23.55      inference(modus_ponens,[status(thm)],[305, 298])).
% 36.85/23.55  tff(307,plain,
% 36.85/23.55      (![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)))))),
% 36.85/23.55      inference(modus_ponens,[status(thm)],[306, 296])).
% 36.85/23.55  tff(308,plain,
% 36.85/23.55      (![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)))))))),
% 36.85/23.55      inference(modus_ponens,[status(thm)],[307, 291])).
% 36.85/23.55  tff(309,plain,
% 36.85/23.55      (((~![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)))))))),
% 36.85/23.55      inference(rewrite,[status(thm)],[])).
% 36.85/23.55  tff(310,plain,
% 36.85/23.55      ((~![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)))))))),
% 36.85/23.55      inference(quant_inst,[status(thm)],[])).
% 36.85/23.55  tff(311,plain,
% 36.85/23.55      ((~![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))))))),
% 36.85/23.55      inference(modus_ponens,[status(thm)],[310, 309])).
% 36.85/23.55  tff(312,plain,
% 36.85/23.55      (![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))))))),
% 36.85/23.55      inference(unit_resolution,[status(thm)],[311, 71, 70, 308])).
% 36.85/23.55  tff(313,plain,
% 36.85/23.55      (((~![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))))))),
% 36.85/23.55      inference(rewrite,[status(thm)],[])).
% 36.85/23.55  tff(314,plain,
% 36.85/23.55      ((~![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))))))),
% 36.85/23.55      inference(quant_inst,[status(thm)],[])).
% 36.85/23.55  tff(315,plain,
% 36.85/23.55      ((~![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)))))),
% 36.85/23.55      inference(modus_ponens,[status(thm)],[314, 313])).
% 36.85/23.55  tff(316,plain,
% 36.85/23.55      (![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)))))),
% 36.85/23.55      inference(unit_resolution,[status(thm)],[315, 40, 39, 312])).
% 36.85/23.55  tff(317,plain,
% 36.85/23.55      (((~![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)))))),
% 36.85/23.55      inference(rewrite,[status(thm)],[])).
% 36.85/23.55  tff(318,plain,
% 36.85/23.55      ((~![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)))))),
% 36.85/23.55      inference(quant_inst,[status(thm)],[])).
% 36.85/23.55  tff(319,plain,
% 36.85/23.55      ((~![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))))),
% 36.85/23.55      inference(modus_ponens,[status(thm)],[318, 317])).
% 36.85/23.55  tff(320,plain,
% 36.85/23.55      (![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))))),
% 36.85/23.55      inference(unit_resolution,[status(thm)],[319, 38, 37, 316])).
% 36.85/23.55  tff(321,plain,
% 36.85/23.56      (((~![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))))),
% 36.85/23.56      inference(rewrite,[status(thm)],[])).
% 36.85/23.56  tff(322,plain,
% 36.85/23.56      ((~![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))))),
% 36.85/23.56      inference(quant_inst,[status(thm)],[])).
% 36.85/23.56  tff(323,plain,
% 36.85/23.56      ((~![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)))),
% 36.85/23.56      inference(modus_ponens,[status(thm)],[322, 321])).
% 36.85/23.56  tff(324,plain,
% 36.85/23.56      (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))),
% 36.85/23.56      inference(unit_resolution,[status(thm)],[323, 69, 320])).
% 36.85/23.56  tff(325,plain,
% 36.85/23.56      (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)),
% 36.85/23.56      inference(symmetry,[status(thm)],[324])).
% 36.85/23.56  tff(326,plain,
% 36.85/23.56      (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))),
% 36.85/23.56      inference(monotonicity,[status(thm)],[170])).
% 36.85/23.56  tff(327,plain,
% 36.85/23.56      (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)),
% 36.85/23.56      inference(transitivity,[status(thm)],[326, 325])).
% 36.85/23.56  tff(328,plain,
% 36.85/23.56      (k7_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))) = k7_nattra_1(A!0, B!1, k11_isocat_2(A!0, B!1, C!2, D!3))),
% 36.85/23.56      inference(monotonicity,[status(thm)],[327])).
% 36.85/23.56  tff(329,plain,
% 36.85/23.56      (k7_nattra_1(A!0, B!1, k11_isocat_2(A!0, B!1, C!2, D!3)) = k7_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)))),
% 36.85/23.56      inference(symmetry,[status(thm)],[328])).
% 36.85/23.56  tff(330,plain,
% 36.85/23.56      (k4_nattra_1(A!0, B!1, k11_isocat_2(A!0, B!1, C!2, D!3)) = k7_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)))),
% 36.85/23.56      inference(transitivity,[status(thm)],[200, 329])).
% 36.85/23.56  tff(331,plain,
% 36.85/23.56      (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, D!3, k7_nattra_1(A!0, k11_cat_2(B!1, C!2), D!3), k16_cat_2(B!1, C!2)), k4_nattra_1(A!0, B!1, k11_isocat_2(A!0, B!1, C!2, D!3))) <=> 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, D!3, k7_nattra_1(A!0, k11_cat_2(B!1, C!2), D!3), k16_cat_2(B!1, C!2)), k7_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))))),
% 36.85/23.56      inference(monotonicity,[status(thm)],[330])).
% 36.85/23.56  tff(332,plain,
% 36.85/23.56      (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, D!3, k7_nattra_1(A!0, k11_cat_2(B!1, C!2), D!3), k16_cat_2(B!1, C!2)), k7_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)))) <=> 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, D!3, k7_nattra_1(A!0, k11_cat_2(B!1, C!2), D!3), k16_cat_2(B!1, C!2)), k4_nattra_1(A!0, B!1, k11_isocat_2(A!0, B!1, C!2, D!3)))),
% 36.85/23.56      inference(symmetry,[status(thm)],[331])).
% 36.85/23.56  tff(333,plain,
% 36.85/23.56      (^[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, B)) | ![E: $i] : ((~m2_cat_1(E, B, C)) | r4_nattra_1(u1_cat_1(A), u2_cat_1(C), u1_cat_1(A), u2_cat_1(C), k6_isocat_1(A, B, C, D, D, k7_nattra_1(A, B, D), E), k7_nattra_1(A, C, k2_isocat_1(A, B, C, D, E))))) | (~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, B)) | ![E: $i] : ((~m2_cat_1(E, B, C)) | r4_nattra_1(u1_cat_1(A), u2_cat_1(C), u1_cat_1(A), u2_cat_1(C), k6_isocat_1(A, B, C, D, D, k7_nattra_1(A, B, D), E), k7_nattra_1(A, C, k2_isocat_1(A, B, C, D, E)))))))))),
% 36.85/23.56      inference(bind,[status(th)],[])).
% 36.85/23.56  tff(334,plain,
% 36.85/23.56      (![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, B)) | ![E: $i] : ((~m2_cat_1(E, B, C)) | r4_nattra_1(u1_cat_1(A), u2_cat_1(C), u1_cat_1(A), u2_cat_1(C), k6_isocat_1(A, B, C, D, D, k7_nattra_1(A, B, D), E), k7_nattra_1(A, C, k2_isocat_1(A, B, C, D, E))))) | (~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, B)) | ![E: $i] : ((~m2_cat_1(E, B, C)) | r4_nattra_1(u1_cat_1(A), u2_cat_1(C), u1_cat_1(A), u2_cat_1(C), k6_isocat_1(A, B, C, D, D, k7_nattra_1(A, B, D), E), k7_nattra_1(A, C, k2_isocat_1(A, B, C, D, E))))))))),
% 36.85/23.56      inference(quant_intro,[status(thm)],[333])).
% 36.85/23.56  tff(335,plain,
% 36.85/23.56      (^[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, B)) | ![E: $i] : ((~m2_cat_1(E, B, C)) | r4_nattra_1(u1_cat_1(A), u2_cat_1(C), u1_cat_1(A), u2_cat_1(C), k6_isocat_1(A, B, C, D, D, k7_nattra_1(A, B, D), E), k7_nattra_1(A, C, k2_isocat_1(A, B, C, D, E))))) | (~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, B)) | ![E: $i] : ((~m2_cat_1(E, B, C)) | r4_nattra_1(u1_cat_1(A), u2_cat_1(C), u1_cat_1(A), u2_cat_1(C), k6_isocat_1(A, B, C, D, D, k7_nattra_1(A, B, D), E), k7_nattra_1(A, C, k2_isocat_1(A, B, C, D, E))))) | (~v2_cat_1(C))))))),
% 36.85/23.56      inference(bind,[status(th)],[])).
% 36.85/23.56  tff(336,plain,
% 36.85/23.56      (![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, B)) | ![E: $i] : ((~m2_cat_1(E, B, C)) | r4_nattra_1(u1_cat_1(A), u2_cat_1(C), u1_cat_1(A), u2_cat_1(C), k6_isocat_1(A, B, C, D, D, k7_nattra_1(A, B, D), E), k7_nattra_1(A, C, k2_isocat_1(A, B, C, D, E))))) | (~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, B)) | ![E: $i] : ((~m2_cat_1(E, B, C)) | r4_nattra_1(u1_cat_1(A), u2_cat_1(C), u1_cat_1(A), u2_cat_1(C), k6_isocat_1(A, B, C, D, D, k7_nattra_1(A, B, D), E), k7_nattra_1(A, C, k2_isocat_1(A, B, C, D, E))))) | (~v2_cat_1(C)))))),
% 36.85/23.56      inference(quant_intro,[status(thm)],[335])).
% 36.85/23.56  tff(337,plain,
% 36.85/23.56      (^[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, B)) | ![E: $i] : ((~m2_cat_1(E, B, C)) | r4_nattra_1(u1_cat_1(A), u2_cat_1(C), u1_cat_1(A), u2_cat_1(C), k6_isocat_1(A, B, C, D, D, k7_nattra_1(A, B, D), E), k7_nattra_1(A, C, k2_isocat_1(A, B, C, D, E))))) | (~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, B)) | ![E: $i] : ((~m2_cat_1(E, B, C)) | r4_nattra_1(u1_cat_1(A), u2_cat_1(C), u1_cat_1(A), u2_cat_1(C), k6_isocat_1(A, B, C, D, D, k7_nattra_1(A, B, D), E), k7_nattra_1(A, C, k2_isocat_1(A, B, C, D, E))))) | (~v2_cat_1(C))))))),
% 36.85/23.56      inference(bind,[status(th)],[])).
% 36.85/23.56  tff(338,plain,
% 36.85/23.56      (![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, B)) | ![E: $i] : ((~m2_cat_1(E, B, C)) | r4_nattra_1(u1_cat_1(A), u2_cat_1(C), u1_cat_1(A), u2_cat_1(C), k6_isocat_1(A, B, C, D, D, k7_nattra_1(A, B, D), E), k7_nattra_1(A, C, k2_isocat_1(A, B, C, D, E))))) | (~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, B)) | ![E: $i] : ((~m2_cat_1(E, B, C)) | r4_nattra_1(u1_cat_1(A), u2_cat_1(C), u1_cat_1(A), u2_cat_1(C), k6_isocat_1(A, B, C, D, D, k7_nattra_1(A, B, D), E), k7_nattra_1(A, C, k2_isocat_1(A, B, C, D, E))))) | (~v2_cat_1(C)))))),
% 36.85/23.56      inference(quant_intro,[status(thm)],[337])).
% 36.85/23.56  tff(339,plain,
% 36.85/23.56      (![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, B)) | ![E: $i] : ((~m2_cat_1(E, B, C)) | r4_nattra_1(u1_cat_1(A), u2_cat_1(C), u1_cat_1(A), u2_cat_1(C), k6_isocat_1(A, B, C, D, D, k7_nattra_1(A, B, D), E), k7_nattra_1(A, C, k2_isocat_1(A, B, C, D, E))))) | (~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, B)) | ![E: $i] : ((~m2_cat_1(E, B, C)) | r4_nattra_1(u1_cat_1(A), u2_cat_1(C), u1_cat_1(A), u2_cat_1(C), k6_isocat_1(A, B, C, D, D, k7_nattra_1(A, B, D), E), k7_nattra_1(A, C, k2_isocat_1(A, B, C, D, E))))) | (~v2_cat_1(C)))))),
% 36.85/23.56      inference(transitivity,[status(thm)],[338, 336])).
% 36.85/23.56  tff(340,plain,
% 36.85/23.56      (^[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, B)) | ![E: $i] : ((~m2_cat_1(E, B, C)) | r4_nattra_1(u1_cat_1(A), u2_cat_1(C), u1_cat_1(A), u2_cat_1(C), k6_isocat_1(A, B, C, D, D, k7_nattra_1(A, B, D), E), k7_nattra_1(A, C, k2_isocat_1(A, B, C, D, E)))))) <=> (((~l1_cat_1(C)) | (~v2_cat_1(C))) | ![D: $i] : ((~m2_cat_1(D, A, B)) | ![E: $i] : ((~m2_cat_1(E, B, C)) | r4_nattra_1(u1_cat_1(A), u2_cat_1(C), u1_cat_1(A), u2_cat_1(C), k6_isocat_1(A, B, C, D, D, k7_nattra_1(A, B, D), E), k7_nattra_1(A, C, k2_isocat_1(A, B, C, D, E)))))))), rewrite((((~l1_cat_1(C)) | (~v2_cat_1(C))) | ![D: $i] : ((~m2_cat_1(D, A, B)) | ![E: $i] : ((~m2_cat_1(E, B, C)) | r4_nattra_1(u1_cat_1(A), u2_cat_1(C), u1_cat_1(A), u2_cat_1(C), k6_isocat_1(A, B, C, D, D, k7_nattra_1(A, B, D), E), k7_nattra_1(A, C, k2_isocat_1(A, B, C, D, E)))))) <=> ((~l1_cat_1(C)) | ![D: $i] : ((~m2_cat_1(D, A, B)) | ![E: $i] : ((~m2_cat_1(E, B, C)) | r4_nattra_1(u1_cat_1(A), u2_cat_1(C), u1_cat_1(A), u2_cat_1(C), k6_isocat_1(A, B, C, D, D, k7_nattra_1(A, B, D), E), k7_nattra_1(A, C, k2_isocat_1(A, B, C, D, E))))) | (~v2_cat_1(C)))), (((~(v2_cat_1(C) & l1_cat_1(C))) | ![D: $i] : ((~m2_cat_1(D, A, B)) | ![E: $i] : ((~m2_cat_1(E, B, C)) | r4_nattra_1(u1_cat_1(A), u2_cat_1(C), u1_cat_1(A), u2_cat_1(C), k6_isocat_1(A, B, C, D, D, k7_nattra_1(A, B, D), E), k7_nattra_1(A, C, k2_isocat_1(A, B, C, D, E)))))) <=> ((~l1_cat_1(C)) | ![D: $i] : ((~m2_cat_1(D, A, B)) | ![E: $i] : ((~m2_cat_1(E, B, C)) | r4_nattra_1(u1_cat_1(A), u2_cat_1(C), u1_cat_1(A), u2_cat_1(C), k6_isocat_1(A, B, C, D, D, k7_nattra_1(A, B, D), E), k7_nattra_1(A, C, k2_isocat_1(A, B, C, D, E))))) | (~v2_cat_1(C)))))), (![C: $i] : ((~(v2_cat_1(C) & l1_cat_1(C))) | ![D: $i] : ((~m2_cat_1(D, A, B)) | ![E: $i] : ((~m2_cat_1(E, B, C)) | r4_nattra_1(u1_cat_1(A), u2_cat_1(C), u1_cat_1(A), u2_cat_1(C), k6_isocat_1(A, B, C, D, D, k7_nattra_1(A, B, D), E), k7_nattra_1(A, C, k2_isocat_1(A, B, C, D, E)))))) <=> ![C: $i] : ((~l1_cat_1(C)) | ![D: $i] : ((~m2_cat_1(D, A, B)) | ![E: $i] : ((~m2_cat_1(E, B, C)) | r4_nattra_1(u1_cat_1(A), u2_cat_1(C), u1_cat_1(A), u2_cat_1(C), k6_isocat_1(A, B, C, D, D, k7_nattra_1(A, B, D), E), k7_nattra_1(A, C, k2_isocat_1(A, B, C, D, E))))) | (~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, B)) | ![E: $i] : ((~m2_cat_1(E, B, C)) | r4_nattra_1(u1_cat_1(A), u2_cat_1(C), u1_cat_1(A), u2_cat_1(C), k6_isocat_1(A, B, C, D, D, k7_nattra_1(A, B, D), E), k7_nattra_1(A, C, k2_isocat_1(A, B, C, D, E))))))) <=> (((~l1_cat_1(B)) | (~v2_cat_1(B))) | ![C: $i] : ((~l1_cat_1(C)) | ![D: $i] : ((~m2_cat_1(D, A, B)) | ![E: $i] : ((~m2_cat_1(E, B, C)) | r4_nattra_1(u1_cat_1(A), u2_cat_1(C), u1_cat_1(A), u2_cat_1(C), k6_isocat_1(A, B, C, D, D, k7_nattra_1(A, B, D), E), k7_nattra_1(A, C, k2_isocat_1(A, B, C, D, E))))) | (~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, B)) | ![E: $i] : ((~m2_cat_1(E, B, C)) | r4_nattra_1(u1_cat_1(A), u2_cat_1(C), u1_cat_1(A), u2_cat_1(C), k6_isocat_1(A, B, C, D, D, k7_nattra_1(A, B, D), E), k7_nattra_1(A, C, k2_isocat_1(A, B, C, D, E))))) | (~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, B)) | ![E: $i] : ((~m2_cat_1(E, B, C)) | r4_nattra_1(u1_cat_1(A), u2_cat_1(C), u1_cat_1(A), u2_cat_1(C), k6_isocat_1(A, B, C, D, D, k7_nattra_1(A, B, D), E), k7_nattra_1(A, C, k2_isocat_1(A, B, C, D, E))))) | (~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, B)) | ![E: $i] : ((~m2_cat_1(E, B, C)) | r4_nattra_1(u1_cat_1(A), u2_cat_1(C), u1_cat_1(A), u2_cat_1(C), k6_isocat_1(A, B, C, D, D, k7_nattra_1(A, B, D), E), k7_nattra_1(A, C, k2_isocat_1(A, B, C, D, E))))))) <=> ((~l1_cat_1(B)) | (~v2_cat_1(B)) | ![C: $i] : ((~l1_cat_1(C)) | ![D: $i] : ((~m2_cat_1(D, A, B)) | ![E: $i] : ((~m2_cat_1(E, B, C)) | r4_nattra_1(u1_cat_1(A), u2_cat_1(C), u1_cat_1(A), u2_cat_1(C), k6_isocat_1(A, B, C, D, D, k7_nattra_1(A, B, D), E), k7_nattra_1(A, C, k2_isocat_1(A, B, C, D, E))))) | (~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, B)) | ![E: $i] : ((~m2_cat_1(E, B, C)) | r4_nattra_1(u1_cat_1(A), u2_cat_1(C), u1_cat_1(A), u2_cat_1(C), k6_isocat_1(A, B, C, D, D, k7_nattra_1(A, B, D), E), k7_nattra_1(A, C, k2_isocat_1(A, B, C, D, E))))))) <=> ![B: $i] : ((~l1_cat_1(B)) | (~v2_cat_1(B)) | ![C: $i] : ((~l1_cat_1(C)) | ![D: $i] : ((~m2_cat_1(D, A, B)) | ![E: $i] : ((~m2_cat_1(E, B, C)) | r4_nattra_1(u1_cat_1(A), u2_cat_1(C), u1_cat_1(A), u2_cat_1(C), k6_isocat_1(A, B, C, D, D, k7_nattra_1(A, B, D), E), k7_nattra_1(A, C, k2_isocat_1(A, B, C, D, E))))) | (~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, B)) | ![E: $i] : ((~m2_cat_1(E, B, C)) | r4_nattra_1(u1_cat_1(A), u2_cat_1(C), u1_cat_1(A), u2_cat_1(C), k6_isocat_1(A, B, C, D, D, k7_nattra_1(A, B, D), E), k7_nattra_1(A, C, k2_isocat_1(A, B, C, D, E)))))))) <=> (((~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, B)) | ![E: $i] : ((~m2_cat_1(E, B, C)) | r4_nattra_1(u1_cat_1(A), u2_cat_1(C), u1_cat_1(A), u2_cat_1(C), k6_isocat_1(A, B, C, D, D, k7_nattra_1(A, B, D), E), k7_nattra_1(A, C, k2_isocat_1(A, B, C, D, E))))) | (~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, B)) | ![E: $i] : ((~m2_cat_1(E, B, C)) | r4_nattra_1(u1_cat_1(A), u2_cat_1(C), u1_cat_1(A), u2_cat_1(C), k6_isocat_1(A, B, C, D, D, k7_nattra_1(A, B, D), E), k7_nattra_1(A, C, k2_isocat_1(A, B, C, D, E))))) | (~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, B)) | ![E: $i] : ((~m2_cat_1(E, B, C)) | r4_nattra_1(u1_cat_1(A), u2_cat_1(C), u1_cat_1(A), u2_cat_1(C), k6_isocat_1(A, B, C, D, D, k7_nattra_1(A, B, D), E), k7_nattra_1(A, C, k2_isocat_1(A, B, C, D, E))))) | (~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, B)) | ![E: $i] : ((~m2_cat_1(E, B, C)) | r4_nattra_1(u1_cat_1(A), u2_cat_1(C), u1_cat_1(A), u2_cat_1(C), k6_isocat_1(A, B, C, D, D, k7_nattra_1(A, B, D), E), k7_nattra_1(A, C, k2_isocat_1(A, B, C, D, E)))))))) <=> ((~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, B)) | ![E: $i] : ((~m2_cat_1(E, B, C)) | r4_nattra_1(u1_cat_1(A), u2_cat_1(C), u1_cat_1(A), u2_cat_1(C), k6_isocat_1(A, B, C, D, D, k7_nattra_1(A, B, D), E), k7_nattra_1(A, C, k2_isocat_1(A, B, C, D, E))))) | (~v2_cat_1(C)))))))),
% 36.85/23.57      inference(bind,[status(th)],[])).
% 36.85/23.57  tff(341,plain,
% 36.85/23.57      (![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, B)) | ![E: $i] : ((~m2_cat_1(E, B, C)) | r4_nattra_1(u1_cat_1(A), u2_cat_1(C), u1_cat_1(A), u2_cat_1(C), k6_isocat_1(A, B, C, D, D, k7_nattra_1(A, B, D), E), k7_nattra_1(A, C, k2_isocat_1(A, B, C, D, E)))))))) <=> ![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, B)) | ![E: $i] : ((~m2_cat_1(E, B, C)) | r4_nattra_1(u1_cat_1(A), u2_cat_1(C), u1_cat_1(A), u2_cat_1(C), k6_isocat_1(A, B, C, D, D, k7_nattra_1(A, B, D), E), k7_nattra_1(A, C, k2_isocat_1(A, B, C, D, E))))) | (~v2_cat_1(C)))))),
% 36.85/23.57      inference(quant_intro,[status(thm)],[340])).
% 36.85/23.57  tff(342,plain,
% 36.85/23.57      (![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, B)) | ![E: $i] : ((~m2_cat_1(E, B, C)) | r4_nattra_1(u1_cat_1(A), u2_cat_1(C), u1_cat_1(A), u2_cat_1(C), k6_isocat_1(A, B, C, D, D, k7_nattra_1(A, B, D), E), k7_nattra_1(A, C, k2_isocat_1(A, B, C, D, E)))))))) <=> ![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, B)) | ![E: $i] : ((~m2_cat_1(E, B, C)) | r4_nattra_1(u1_cat_1(A), u2_cat_1(C), u1_cat_1(A), u2_cat_1(C), k6_isocat_1(A, B, C, D, D, k7_nattra_1(A, B, D), E), k7_nattra_1(A, C, k2_isocat_1(A, B, C, D, E))))))))),
% 36.85/23.57      inference(rewrite,[status(thm)],[])).
% 36.85/23.57  tff(343,plain,
% 36.85/23.57      (^[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] : rewrite((m2_cat_1(E, B, C) => r4_nattra_1(u1_cat_1(A), u2_cat_1(C), u1_cat_1(A), u2_cat_1(C), k6_isocat_1(A, B, C, D, D, k7_nattra_1(A, B, D), E), k7_nattra_1(A, C, k2_isocat_1(A, B, C, D, E)))) <=> ((~m2_cat_1(E, B, C)) | r4_nattra_1(u1_cat_1(A), u2_cat_1(C), u1_cat_1(A), u2_cat_1(C), k6_isocat_1(A, B, C, D, D, k7_nattra_1(A, B, D), E), k7_nattra_1(A, C, k2_isocat_1(A, B, C, D, E)))))), (![E: $i] : (m2_cat_1(E, B, C) => r4_nattra_1(u1_cat_1(A), u2_cat_1(C), u1_cat_1(A), u2_cat_1(C), k6_isocat_1(A, B, C, D, D, k7_nattra_1(A, B, D), E), k7_nattra_1(A, C, k2_isocat_1(A, B, C, D, E)))) <=> ![E: $i] : ((~m2_cat_1(E, B, C)) | r4_nattra_1(u1_cat_1(A), u2_cat_1(C), u1_cat_1(A), u2_cat_1(C), k6_isocat_1(A, B, C, D, D, k7_nattra_1(A, B, D), E), k7_nattra_1(A, C, k2_isocat_1(A, B, C, D, E)))))), ((m2_cat_1(D, A, B) => ![E: $i] : (m2_cat_1(E, B, C) => r4_nattra_1(u1_cat_1(A), u2_cat_1(C), u1_cat_1(A), u2_cat_1(C), k6_isocat_1(A, B, C, D, D, k7_nattra_1(A, B, D), E), k7_nattra_1(A, C, k2_isocat_1(A, B, C, D, E))))) <=> (m2_cat_1(D, A, B) => ![E: $i] : ((~m2_cat_1(E, B, C)) | r4_nattra_1(u1_cat_1(A), u2_cat_1(C), u1_cat_1(A), u2_cat_1(C), k6_isocat_1(A, B, C, D, D, k7_nattra_1(A, B, D), E), k7_nattra_1(A, C, k2_isocat_1(A, B, C, D, E))))))), rewrite((m2_cat_1(D, A, B) => ![E: $i] : ((~m2_cat_1(E, B, C)) | r4_nattra_1(u1_cat_1(A), u2_cat_1(C), u1_cat_1(A), u2_cat_1(C), k6_isocat_1(A, B, C, D, D, k7_nattra_1(A, B, D), E), k7_nattra_1(A, C, k2_isocat_1(A, B, C, D, E))))) <=> ((~m2_cat_1(D, A, B)) | ![E: $i] : ((~m2_cat_1(E, B, C)) | r4_nattra_1(u1_cat_1(A), u2_cat_1(C), u1_cat_1(A), u2_cat_1(C), k6_isocat_1(A, B, C, D, D, k7_nattra_1(A, B, D), E), k7_nattra_1(A, C, k2_isocat_1(A, B, C, D, E)))))), ((m2_cat_1(D, A, B) => ![E: $i] : (m2_cat_1(E, B, C) => r4_nattra_1(u1_cat_1(A), u2_cat_1(C), u1_cat_1(A), u2_cat_1(C), k6_isocat_1(A, B, C, D, D, k7_nattra_1(A, B, D), E), k7_nattra_1(A, C, k2_isocat_1(A, B, C, D, E))))) <=> ((~m2_cat_1(D, A, B)) | ![E: $i] : ((~m2_cat_1(E, B, C)) | r4_nattra_1(u1_cat_1(A), u2_cat_1(C), u1_cat_1(A), u2_cat_1(C), k6_isocat_1(A, B, C, D, D, k7_nattra_1(A, B, D), E), k7_nattra_1(A, C, k2_isocat_1(A, B, C, D, E)))))))), (![D: $i] : (m2_cat_1(D, A, B) => ![E: $i] : (m2_cat_1(E, B, C) => r4_nattra_1(u1_cat_1(A), u2_cat_1(C), u1_cat_1(A), u2_cat_1(C), k6_isocat_1(A, B, C, D, D, k7_nattra_1(A, B, D), E), k7_nattra_1(A, C, k2_isocat_1(A, B, C, D, E))))) <=> ![D: $i] : ((~m2_cat_1(D, A, B)) | ![E: $i] : ((~m2_cat_1(E, B, C)) | r4_nattra_1(u1_cat_1(A), u2_cat_1(C), u1_cat_1(A), u2_cat_1(C), k6_isocat_1(A, B, C, D, D, k7_nattra_1(A, B, D), E), k7_nattra_1(A, C, k2_isocat_1(A, B, C, D, E))))))), (((v2_cat_1(C) & l1_cat_1(C)) => ![D: $i] : (m2_cat_1(D, A, B) => ![E: $i] : (m2_cat_1(E, B, C) => r4_nattra_1(u1_cat_1(A), u2_cat_1(C), u1_cat_1(A), u2_cat_1(C), k6_isocat_1(A, B, C, D, D, k7_nattra_1(A, B, D), E), k7_nattra_1(A, C, k2_isocat_1(A, B, C, D, E)))))) <=> ((v2_cat_1(C) & l1_cat_1(C)) => ![D: $i] : ((~m2_cat_1(D, A, B)) | ![E: $i] : ((~m2_cat_1(E, B, C)) | r4_nattra_1(u1_cat_1(A), u2_cat_1(C), u1_cat_1(A), u2_cat_1(C), k6_isocat_1(A, B, C, D, D, k7_nattra_1(A, B, D), E), k7_nattra_1(A, C, k2_isocat_1(A, B, C, D, E)))))))), rewrite(((v2_cat_1(C) & l1_cat_1(C)) => ![D: $i] : ((~m2_cat_1(D, A, B)) | ![E: $i] : ((~m2_cat_1(E, B, C)) | r4_nattra_1(u1_cat_1(A), u2_cat_1(C), u1_cat_1(A), u2_cat_1(C), k6_isocat_1(A, B, C, D, D, k7_nattra_1(A, B, D), E), k7_nattra_1(A, C, k2_isocat_1(A, B, C, D, E)))))) <=> ((~(v2_cat_1(C) & l1_cat_1(C))) | ![D: $i] : ((~m2_cat_1(D, A, B)) | ![E: $i] : ((~m2_cat_1(E, B, C)) | r4_nattra_1(u1_cat_1(A), u2_cat_1(C), u1_cat_1(A), u2_cat_1(C), k6_isocat_1(A, B, C, D, D, k7_nattra_1(A, B, D), E), k7_nattra_1(A, C, k2_isocat_1(A, B, C, D, E))))))), (((v2_cat_1(C) & l1_cat_1(C)) => ![D: $i] : (m2_cat_1(D, A, B) => ![E: $i] : (m2_cat_1(E, B, C) => r4_nattra_1(u1_cat_1(A), u2_cat_1(C), u1_cat_1(A), u2_cat_1(C), k6_isocat_1(A, B, C, D, D, k7_nattra_1(A, B, D), E), k7_nattra_1(A, C, k2_isocat_1(A, B, C, D, E)))))) <=> ((~(v2_cat_1(C) & l1_cat_1(C))) | ![D: $i] : ((~m2_cat_1(D, A, B)) | ![E: $i] : ((~m2_cat_1(E, B, C)) | r4_nattra_1(u1_cat_1(A), u2_cat_1(C), u1_cat_1(A), u2_cat_1(C), k6_isocat_1(A, B, C, D, D, k7_nattra_1(A, B, D), E), k7_nattra_1(A, C, k2_isocat_1(A, B, C, D, E))))))))), (![C: $i] : ((v2_cat_1(C) & l1_cat_1(C)) => ![D: $i] : (m2_cat_1(D, A, B) => ![E: $i] : (m2_cat_1(E, B, C) => r4_nattra_1(u1_cat_1(A), u2_cat_1(C), u1_cat_1(A), u2_cat_1(C), k6_isocat_1(A, B, C, D, D, k7_nattra_1(A, B, D), E), k7_nattra_1(A, C, k2_isocat_1(A, B, C, D, E)))))) <=> ![C: $i] : ((~(v2_cat_1(C) & l1_cat_1(C))) | ![D: $i] : ((~m2_cat_1(D, A, B)) | ![E: $i] : ((~m2_cat_1(E, B, C)) | r4_nattra_1(u1_cat_1(A), u2_cat_1(C), u1_cat_1(A), u2_cat_1(C), k6_isocat_1(A, B, C, D, D, k7_nattra_1(A, B, D), E), k7_nattra_1(A, C, k2_isocat_1(A, B, C, D, E)))))))), (((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, B) => ![E: $i] : (m2_cat_1(E, B, C) => r4_nattra_1(u1_cat_1(A), u2_cat_1(C), u1_cat_1(A), u2_cat_1(C), k6_isocat_1(A, B, C, D, D, k7_nattra_1(A, B, D), E), k7_nattra_1(A, C, k2_isocat_1(A, B, C, D, E))))))) <=> ((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, B)) | ![E: $i] : ((~m2_cat_1(E, B, C)) | r4_nattra_1(u1_cat_1(A), u2_cat_1(C), u1_cat_1(A), u2_cat_1(C), k6_isocat_1(A, B, C, D, D, k7_nattra_1(A, B, D), E), k7_nattra_1(A, C, k2_isocat_1(A, B, C, D, E))))))))), 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, B)) | ![E: $i] : ((~m2_cat_1(E, B, C)) | r4_nattra_1(u1_cat_1(A), u2_cat_1(C), u1_cat_1(A), u2_cat_1(C), k6_isocat_1(A, B, C, D, D, k7_nattra_1(A, B, D), E), k7_nattra_1(A, C, k2_isocat_1(A, B, C, D, E))))))) <=> ((~(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, B)) | ![E: $i] : ((~m2_cat_1(E, B, C)) | r4_nattra_1(u1_cat_1(A), u2_cat_1(C), u1_cat_1(A), u2_cat_1(C), k6_isocat_1(A, B, C, D, D, k7_nattra_1(A, B, D), E), k7_nattra_1(A, C, k2_isocat_1(A, B, C, D, E)))))))), (((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, B) => ![E: $i] : (m2_cat_1(E, B, C) => r4_nattra_1(u1_cat_1(A), u2_cat_1(C), u1_cat_1(A), u2_cat_1(C), k6_isocat_1(A, B, C, D, D, k7_nattra_1(A, B, D), E), k7_nattra_1(A, C, k2_isocat_1(A, B, C, D, E))))))) <=> ((~(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, B)) | ![E: $i] : ((~m2_cat_1(E, B, C)) | r4_nattra_1(u1_cat_1(A), u2_cat_1(C), u1_cat_1(A), u2_cat_1(C), k6_isocat_1(A, B, C, D, D, k7_nattra_1(A, B, D), E), k7_nattra_1(A, C, k2_isocat_1(A, B, C, D, E)))))))))), (![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, B) => ![E: $i] : (m2_cat_1(E, B, C) => r4_nattra_1(u1_cat_1(A), u2_cat_1(C), u1_cat_1(A), u2_cat_1(C), k6_isocat_1(A, B, C, D, D, k7_nattra_1(A, B, D), E), k7_nattra_1(A, C, k2_isocat_1(A, B, C, D, E))))))) <=> ![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, B)) | ![E: $i] : ((~m2_cat_1(E, B, C)) | r4_nattra_1(u1_cat_1(A), u2_cat_1(C), u1_cat_1(A), u2_cat_1(C), k6_isocat_1(A, B, C, D, D, k7_nattra_1(A, B, D), E), k7_nattra_1(A, C, k2_isocat_1(A, B, C, D, E))))))))), (((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, B) => ![E: $i] : (m2_cat_1(E, B, C) => r4_nattra_1(u1_cat_1(A), u2_cat_1(C), u1_cat_1(A), u2_cat_1(C), k6_isocat_1(A, B, C, D, D, k7_nattra_1(A, B, D), E), k7_nattra_1(A, C, k2_isocat_1(A, B, C, D, E)))))))) <=> ((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, B)) | ![E: $i] : ((~m2_cat_1(E, B, C)) | r4_nattra_1(u1_cat_1(A), u2_cat_1(C), u1_cat_1(A), u2_cat_1(C), k6_isocat_1(A, B, C, D, D, k7_nattra_1(A, B, D), E), k7_nattra_1(A, C, k2_isocat_1(A, B, C, D, E)))))))))), 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, B)) | ![E: $i] : ((~m2_cat_1(E, B, C)) | r4_nattra_1(u1_cat_1(A), u2_cat_1(C), u1_cat_1(A), u2_cat_1(C), k6_isocat_1(A, B, C, D, D, k7_nattra_1(A, B, D), E), k7_nattra_1(A, C, k2_isocat_1(A, B, C, D, E)))))))) <=> ((~(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, B)) | ![E: $i] : ((~m2_cat_1(E, B, C)) | r4_nattra_1(u1_cat_1(A), u2_cat_1(C), u1_cat_1(A), u2_cat_1(C), k6_isocat_1(A, B, C, D, D, k7_nattra_1(A, B, D), E), k7_nattra_1(A, C, k2_isocat_1(A, B, C, D, E))))))))), (((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, B) => ![E: $i] : (m2_cat_1(E, B, C) => r4_nattra_1(u1_cat_1(A), u2_cat_1(C), u1_cat_1(A), u2_cat_1(C), k6_isocat_1(A, B, C, D, D, k7_nattra_1(A, B, D), E), k7_nattra_1(A, C, k2_isocat_1(A, B, C, D, E)))))))) <=> ((~(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, B)) | ![E: $i] : ((~m2_cat_1(E, B, C)) | r4_nattra_1(u1_cat_1(A), u2_cat_1(C), u1_cat_1(A), u2_cat_1(C), k6_isocat_1(A, B, C, D, D, k7_nattra_1(A, B, D), E), k7_nattra_1(A, C, k2_isocat_1(A, B, C, D, E))))))))))),
% 36.85/23.57      inference(bind,[status(th)],[])).
% 36.85/23.57  tff(344,plain,
% 36.85/23.57      (![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, B) => ![E: $i] : (m2_cat_1(E, B, C) => r4_nattra_1(u1_cat_1(A), u2_cat_1(C), u1_cat_1(A), u2_cat_1(C), k6_isocat_1(A, B, C, D, D, k7_nattra_1(A, B, D), E), k7_nattra_1(A, C, k2_isocat_1(A, B, C, D, E)))))))) <=> ![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, B)) | ![E: $i] : ((~m2_cat_1(E, B, C)) | r4_nattra_1(u1_cat_1(A), u2_cat_1(C), u1_cat_1(A), u2_cat_1(C), k6_isocat_1(A, B, C, D, D, k7_nattra_1(A, B, D), E), k7_nattra_1(A, C, k2_isocat_1(A, B, C, D, E))))))))),
% 36.85/23.57      inference(quant_intro,[status(thm)],[343])).
% 36.85/23.57  tff(345,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, B) => ![E: $i] : (m2_cat_1(E, B, C) => r4_nattra_1(u1_cat_1(A), u2_cat_1(C), u1_cat_1(A), u2_cat_1(C), k6_isocat_1(A, B, C, D, D, k7_nattra_1(A, B, D), E), k7_nattra_1(A, C, k2_isocat_1(A, B, C, D, E))))))))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','t38_isocat_1')).
% 36.85/23.57  tff(346,plain,
% 36.85/23.57      (![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, B)) | ![E: $i] : ((~m2_cat_1(E, B, C)) | r4_nattra_1(u1_cat_1(A), u2_cat_1(C), u1_cat_1(A), u2_cat_1(C), k6_isocat_1(A, B, C, D, D, k7_nattra_1(A, B, D), E), k7_nattra_1(A, C, k2_isocat_1(A, B, C, D, E))))))))),
% 36.85/23.57      inference(modus_ponens,[status(thm)],[345, 344])).
% 36.85/23.57  tff(347,plain,
% 36.85/23.57      (![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, B)) | ![E: $i] : ((~m2_cat_1(E, B, C)) | r4_nattra_1(u1_cat_1(A), u2_cat_1(C), u1_cat_1(A), u2_cat_1(C), k6_isocat_1(A, B, C, D, D, k7_nattra_1(A, B, D), E), k7_nattra_1(A, C, k2_isocat_1(A, B, C, D, E))))))))),
% 36.85/23.57      inference(modus_ponens,[status(thm)],[346, 342])).
% 36.85/23.57  tff(348,plain,(
% 36.85/23.57      ![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, B)) | ![E: $i] : ((~m2_cat_1(E, B, C)) | r4_nattra_1(u1_cat_1(A), u2_cat_1(C), u1_cat_1(A), u2_cat_1(C), k6_isocat_1(A, B, C, D, D, k7_nattra_1(A, B, D), E), k7_nattra_1(A, C, k2_isocat_1(A, B, C, D, E))))))))),
% 36.85/23.57      inference(skolemize,[status(sab)],[347])).
% 36.85/23.57  tff(349,plain,
% 36.85/23.57      (![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)) | ![D: $i] : ((~m2_cat_1(D, A, B)) | ![E: $i] : ((~m2_cat_1(E, B, C)) | r4_nattra_1(u1_cat_1(A), u2_cat_1(C), u1_cat_1(A), u2_cat_1(C), k6_isocat_1(A, B, C, D, D, k7_nattra_1(A, B, D), E), k7_nattra_1(A, C, k2_isocat_1(A, B, C, D, E))))) | (~v2_cat_1(C)))))),
% 36.85/23.57      inference(modus_ponens,[status(thm)],[348, 341])).
% 36.85/23.57  tff(350,plain,
% 36.85/23.57      (![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)) | ![D: $i] : ((~m2_cat_1(D, A, B)) | ![E: $i] : ((~m2_cat_1(E, B, C)) | r4_nattra_1(u1_cat_1(A), u2_cat_1(C), u1_cat_1(A), u2_cat_1(C), k6_isocat_1(A, B, C, D, D, k7_nattra_1(A, B, D), E), k7_nattra_1(A, C, k2_isocat_1(A, B, C, D, E))))) | (~v2_cat_1(C)))))),
% 36.85/23.57      inference(modus_ponens,[status(thm)],[349, 339])).
% 36.85/23.57  tff(351,plain,
% 36.85/23.57      (![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, A, B)) | ![E: $i] : ((~m2_cat_1(E, B, C)) | r4_nattra_1(u1_cat_1(A), u2_cat_1(C), u1_cat_1(A), u2_cat_1(C), k6_isocat_1(A, B, C, D, D, k7_nattra_1(A, B, D), E), k7_nattra_1(A, C, k2_isocat_1(A, B, C, D, E))))))))),
% 36.85/23.57      inference(modus_ponens,[status(thm)],[350, 334])).
% 36.85/23.57  tff(352,plain,
% 36.85/23.57      (((~![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, A, B)) | ![E: $i] : ((~m2_cat_1(E, B, C)) | r4_nattra_1(u1_cat_1(A), u2_cat_1(C), u1_cat_1(A), u2_cat_1(C), k6_isocat_1(A, B, C, D, D, k7_nattra_1(A, B, D), E), k7_nattra_1(A, C, k2_isocat_1(A, B, C, D, E))))))))) | ((~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, B)) | ![E: $i] : ((~m2_cat_1(E, B, C)) | r4_nattra_1(u1_cat_1(A!0), u2_cat_1(C), u1_cat_1(A!0), u2_cat_1(C), k6_isocat_1(A!0, B, C, D, D, k7_nattra_1(A!0, B, D), E), k7_nattra_1(A!0, C, k2_isocat_1(A!0, B, C, D, E))))))))) <=> ((~![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, B)) | ![E: $i] : ((~m2_cat_1(E, B, C)) | r4_nattra_1(u1_cat_1(A), u2_cat_1(C), u1_cat_1(A), u2_cat_1(C), k6_isocat_1(A, B, C, D, D, k7_nattra_1(A, B, D), E), k7_nattra_1(A, C, k2_isocat_1(A, B, C, D, E))))))))) | (~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, B)) | ![E: $i] : ((~m2_cat_1(E, B, C)) | r4_nattra_1(u1_cat_1(A!0), u2_cat_1(C), u1_cat_1(A!0), u2_cat_1(C), k6_isocat_1(A!0, B, C, D, D, k7_nattra_1(A!0, B, D), E), k7_nattra_1(A!0, C, k2_isocat_1(A!0, B, C, D, E))))))))),
% 36.85/23.57      inference(rewrite,[status(thm)],[])).
% 36.85/23.57  tff(353,plain,
% 36.85/23.57      ((~![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, A, B)) | ![E: $i] : ((~m2_cat_1(E, B, C)) | r4_nattra_1(u1_cat_1(A), u2_cat_1(C), u1_cat_1(A), u2_cat_1(C), k6_isocat_1(A, B, C, D, D, k7_nattra_1(A, B, D), E), k7_nattra_1(A, C, k2_isocat_1(A, B, C, D, E))))))))) | ((~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, B)) | ![E: $i] : ((~m2_cat_1(E, B, C)) | r4_nattra_1(u1_cat_1(A!0), u2_cat_1(C), u1_cat_1(A!0), u2_cat_1(C), k6_isocat_1(A!0, B, C, D, D, k7_nattra_1(A!0, B, D), E), k7_nattra_1(A!0, C, k2_isocat_1(A!0, B, C, D, E))))))))),
% 36.85/23.57      inference(quant_inst,[status(thm)],[])).
% 36.85/23.57  tff(354,plain,
% 36.85/23.57      ((~![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, A, B)) | ![E: $i] : ((~m2_cat_1(E, B, C)) | r4_nattra_1(u1_cat_1(A), u2_cat_1(C), u1_cat_1(A), u2_cat_1(C), k6_isocat_1(A, B, C, D, D, k7_nattra_1(A, B, D), E), k7_nattra_1(A, C, k2_isocat_1(A, B, C, D, E))))))))) | (~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, B)) | ![E: $i] : ((~m2_cat_1(E, B, C)) | r4_nattra_1(u1_cat_1(A!0), u2_cat_1(C), u1_cat_1(A!0), u2_cat_1(C), k6_isocat_1(A!0, B, C, D, D, k7_nattra_1(A!0, B, D), E), k7_nattra_1(A!0, C, k2_isocat_1(A!0, B, C, D, E)))))))),
% 36.85/23.58      inference(modus_ponens,[status(thm)],[353, 352])).
% 36.85/23.58  tff(355,plain,
% 36.85/23.58      (![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, B)) | ![E: $i] : ((~m2_cat_1(E, B, C)) | r4_nattra_1(u1_cat_1(A!0), u2_cat_1(C), u1_cat_1(A!0), u2_cat_1(C), k6_isocat_1(A!0, B, C, D, D, k7_nattra_1(A!0, B, D), E), k7_nattra_1(A!0, C, k2_isocat_1(A!0, B, C, D, E)))))))),
% 36.85/23.58      inference(unit_resolution,[status(thm)],[354, 71, 70, 351])).
% 36.85/23.58  tff(356,plain,
% 36.85/23.58      (((~![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, B)) | ![E: $i] : ((~m2_cat_1(E, B, C)) | r4_nattra_1(u1_cat_1(A!0), u2_cat_1(C), u1_cat_1(A!0), u2_cat_1(C), k6_isocat_1(A!0, B, C, D, D, k7_nattra_1(A!0, B, D), E), k7_nattra_1(A!0, C, k2_isocat_1(A!0, B, C, D, E)))))))) | ((~l1_cat_1(k11_cat_2(B!1, C!2))) | (~v2_cat_1(k11_cat_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!2))) | ![E: $i] : ((~m2_cat_1(E, k11_cat_2(B!1, C!2), C)) | r4_nattra_1(u1_cat_1(A!0), u2_cat_1(C), u1_cat_1(A!0), u2_cat_1(C), k6_isocat_1(A!0, k11_cat_2(B!1, C!2), C, D, D, k7_nattra_1(A!0, k11_cat_2(B!1, C!2), D), E), k7_nattra_1(A!0, C, k2_isocat_1(A!0, k11_cat_2(B!1, C!2), C, D, E)))))))) <=> ((~![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, B)) | ![E: $i] : ((~m2_cat_1(E, B, C)) | r4_nattra_1(u1_cat_1(A!0), u2_cat_1(C), u1_cat_1(A!0), u2_cat_1(C), k6_isocat_1(A!0, B, C, D, D, k7_nattra_1(A!0, B, D), E), k7_nattra_1(A!0, C, k2_isocat_1(A!0, B, C, D, E)))))))) | (~l1_cat_1(k11_cat_2(B!1, C!2))) | (~v2_cat_1(k11_cat_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!2))) | ![E: $i] : ((~m2_cat_1(E, k11_cat_2(B!1, C!2), C)) | r4_nattra_1(u1_cat_1(A!0), u2_cat_1(C), u1_cat_1(A!0), u2_cat_1(C), k6_isocat_1(A!0, k11_cat_2(B!1, C!2), C, D, D, k7_nattra_1(A!0, k11_cat_2(B!1, C!2), D), E), k7_nattra_1(A!0, C, k2_isocat_1(A!0, k11_cat_2(B!1, C!2), C, D, E)))))))),
% 36.85/23.58      inference(rewrite,[status(thm)],[])).
% 36.85/23.58  tff(357,plain,
% 36.85/23.58      ((~![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, B)) | ![E: $i] : ((~m2_cat_1(E, B, C)) | r4_nattra_1(u1_cat_1(A!0), u2_cat_1(C), u1_cat_1(A!0), u2_cat_1(C), k6_isocat_1(A!0, B, C, D, D, k7_nattra_1(A!0, B, D), E), k7_nattra_1(A!0, C, k2_isocat_1(A!0, B, C, D, E)))))))) | ((~l1_cat_1(k11_cat_2(B!1, C!2))) | (~v2_cat_1(k11_cat_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!2))) | ![E: $i] : ((~m2_cat_1(E, k11_cat_2(B!1, C!2), C)) | r4_nattra_1(u1_cat_1(A!0), u2_cat_1(C), u1_cat_1(A!0), u2_cat_1(C), k6_isocat_1(A!0, k11_cat_2(B!1, C!2), C, D, D, k7_nattra_1(A!0, k11_cat_2(B!1, C!2), D), E), k7_nattra_1(A!0, C, k2_isocat_1(A!0, k11_cat_2(B!1, C!2), C, D, E)))))))),
% 36.85/23.58      inference(quant_inst,[status(thm)],[])).
% 36.85/23.58  tff(358,plain,
% 36.85/23.58      ((~![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, B)) | ![E: $i] : ((~m2_cat_1(E, B, C)) | r4_nattra_1(u1_cat_1(A!0), u2_cat_1(C), u1_cat_1(A!0), u2_cat_1(C), k6_isocat_1(A!0, B, C, D, D, k7_nattra_1(A!0, B, D), E), k7_nattra_1(A!0, C, k2_isocat_1(A!0, B, C, D, E)))))))) | (~l1_cat_1(k11_cat_2(B!1, C!2))) | (~v2_cat_1(k11_cat_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!2))) | ![E: $i] : ((~m2_cat_1(E, k11_cat_2(B!1, C!2), C)) | r4_nattra_1(u1_cat_1(A!0), u2_cat_1(C), u1_cat_1(A!0), u2_cat_1(C), k6_isocat_1(A!0, k11_cat_2(B!1, C!2), C, D, D, k7_nattra_1(A!0, k11_cat_2(B!1, C!2), D), E), k7_nattra_1(A!0, C, k2_isocat_1(A!0, k11_cat_2(B!1, C!2), C, D, E))))))),
% 36.85/23.58      inference(modus_ponens,[status(thm)],[357, 356])).
% 36.85/23.58  tff(359,plain,
% 36.85/23.58      (![C: $i] : ((~l1_cat_1(C)) | (~v2_cat_1(C)) | ![D: $i] : ((~m2_cat_1(D, A!0, k11_cat_2(B!1, C!2))) | ![E: $i] : ((~m2_cat_1(E, k11_cat_2(B!1, C!2), C)) | r4_nattra_1(u1_cat_1(A!0), u2_cat_1(C), u1_cat_1(A!0), u2_cat_1(C), k6_isocat_1(A!0, k11_cat_2(B!1, C!2), C, D, D, k7_nattra_1(A!0, k11_cat_2(B!1, C!2), D), E), k7_nattra_1(A!0, C, k2_isocat_1(A!0, k11_cat_2(B!1, C!2), C, D, E))))))),
% 36.85/23.58      inference(unit_resolution,[status(thm)],[358, 52, 54, 355])).
% 36.85/23.58  tff(360,plain,
% 36.85/23.58      (((~![C: $i] : ((~l1_cat_1(C)) | (~v2_cat_1(C)) | ![D: $i] : ((~m2_cat_1(D, A!0, k11_cat_2(B!1, C!2))) | ![E: $i] : ((~m2_cat_1(E, k11_cat_2(B!1, C!2), C)) | r4_nattra_1(u1_cat_1(A!0), u2_cat_1(C), u1_cat_1(A!0), u2_cat_1(C), k6_isocat_1(A!0, k11_cat_2(B!1, C!2), C, D, D, k7_nattra_1(A!0, k11_cat_2(B!1, C!2), D), E), k7_nattra_1(A!0, C, k2_isocat_1(A!0, k11_cat_2(B!1, C!2), C, D, E))))))) | ((~l1_cat_1(B!1)) | (~v2_cat_1(B!1)) | ![D: $i] : ((~m2_cat_1(D, A!0, k11_cat_2(B!1, C!2))) | ![E: $i] : ((~m2_cat_1(E, k11_cat_2(B!1, C!2), B!1)) | 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, D, k7_nattra_1(A!0, k11_cat_2(B!1, C!2), D), E), k7_nattra_1(A!0, B!1, k2_isocat_1(A!0, k11_cat_2(B!1, C!2), B!1, D, E))))))) <=> ((~![C: $i] : ((~l1_cat_1(C)) | (~v2_cat_1(C)) | ![D: $i] : ((~m2_cat_1(D, A!0, k11_cat_2(B!1, C!2))) | ![E: $i] : ((~m2_cat_1(E, k11_cat_2(B!1, C!2), C)) | r4_nattra_1(u1_cat_1(A!0), u2_cat_1(C), u1_cat_1(A!0), u2_cat_1(C), k6_isocat_1(A!0, k11_cat_2(B!1, C!2), C, D, D, k7_nattra_1(A!0, k11_cat_2(B!1, C!2), D), E), k7_nattra_1(A!0, C, k2_isocat_1(A!0, k11_cat_2(B!1, C!2), C, D, E))))))) | (~l1_cat_1(B!1)) | (~v2_cat_1(B!1)) | ![D: $i] : ((~m2_cat_1(D, A!0, k11_cat_2(B!1, C!2))) | ![E: $i] : ((~m2_cat_1(E, k11_cat_2(B!1, C!2), B!1)) | 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, D, k7_nattra_1(A!0, k11_cat_2(B!1, C!2), D), E), k7_nattra_1(A!0, B!1, k2_isocat_1(A!0, k11_cat_2(B!1, C!2), B!1, D, E))))))),
% 36.85/23.58      inference(rewrite,[status(thm)],[])).
% 36.85/23.58  tff(361,plain,
% 36.85/23.58      ((~![C: $i] : ((~l1_cat_1(C)) | (~v2_cat_1(C)) | ![D: $i] : ((~m2_cat_1(D, A!0, k11_cat_2(B!1, C!2))) | ![E: $i] : ((~m2_cat_1(E, k11_cat_2(B!1, C!2), C)) | r4_nattra_1(u1_cat_1(A!0), u2_cat_1(C), u1_cat_1(A!0), u2_cat_1(C), k6_isocat_1(A!0, k11_cat_2(B!1, C!2), C, D, D, k7_nattra_1(A!0, k11_cat_2(B!1, C!2), D), E), k7_nattra_1(A!0, C, k2_isocat_1(A!0, k11_cat_2(B!1, C!2), C, D, E))))))) | ((~l1_cat_1(B!1)) | (~v2_cat_1(B!1)) | ![D: $i] : ((~m2_cat_1(D, A!0, k11_cat_2(B!1, C!2))) | ![E: $i] : ((~m2_cat_1(E, k11_cat_2(B!1, C!2), B!1)) | 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, D, k7_nattra_1(A!0, k11_cat_2(B!1, C!2), D), E), k7_nattra_1(A!0, B!1, k2_isocat_1(A!0, k11_cat_2(B!1, C!2), B!1, D, E))))))),
% 36.85/23.58      inference(quant_inst,[status(thm)],[])).
% 36.85/23.58  tff(362,plain,
% 36.85/23.58      ((~![C: $i] : ((~l1_cat_1(C)) | (~v2_cat_1(C)) | ![D: $i] : ((~m2_cat_1(D, A!0, k11_cat_2(B!1, C!2))) | ![E: $i] : ((~m2_cat_1(E, k11_cat_2(B!1, C!2), C)) | r4_nattra_1(u1_cat_1(A!0), u2_cat_1(C), u1_cat_1(A!0), u2_cat_1(C), k6_isocat_1(A!0, k11_cat_2(B!1, C!2), C, D, D, k7_nattra_1(A!0, k11_cat_2(B!1, C!2), D), E), k7_nattra_1(A!0, C, k2_isocat_1(A!0, k11_cat_2(B!1, C!2), C, D, E))))))) | (~l1_cat_1(B!1)) | (~v2_cat_1(B!1)) | ![D: $i] : ((~m2_cat_1(D, A!0, k11_cat_2(B!1, C!2))) | ![E: $i] : ((~m2_cat_1(E, k11_cat_2(B!1, C!2), B!1)) | 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, D, k7_nattra_1(A!0, k11_cat_2(B!1, C!2), D), E), k7_nattra_1(A!0, B!1, k2_isocat_1(A!0, k11_cat_2(B!1, C!2), B!1, D, E)))))),
% 36.85/23.58      inference(modus_ponens,[status(thm)],[361, 360])).
% 36.85/23.58  tff(363,plain,
% 36.85/23.58      (![D: $i] : ((~m2_cat_1(D, A!0, k11_cat_2(B!1, C!2))) | ![E: $i] : ((~m2_cat_1(E, k11_cat_2(B!1, C!2), B!1)) | 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, D, k7_nattra_1(A!0, k11_cat_2(B!1, C!2), D), E), k7_nattra_1(A!0, B!1, k2_isocat_1(A!0, k11_cat_2(B!1, C!2), B!1, D, E)))))),
% 36.85/23.58      inference(unit_resolution,[status(thm)],[362, 40, 39, 359])).
% 36.85/23.59  tff(364,plain,
% 36.85/23.59      (((~![D: $i] : ((~m2_cat_1(D, A!0, k11_cat_2(B!1, C!2))) | ![E: $i] : ((~m2_cat_1(E, k11_cat_2(B!1, C!2), B!1)) | 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, D, k7_nattra_1(A!0, k11_cat_2(B!1, C!2), D), E), k7_nattra_1(A!0, B!1, k2_isocat_1(A!0, k11_cat_2(B!1, C!2), B!1, D, E)))))) | ((~m2_cat_1(D!3, A!0, k11_cat_2(B!1, C!2))) | ![E: $i] : ((~m2_cat_1(E, k11_cat_2(B!1, C!2), B!1)) | 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, D!3, k7_nattra_1(A!0, k11_cat_2(B!1, C!2), D!3), E), k7_nattra_1(A!0, B!1, k2_isocat_1(A!0, k11_cat_2(B!1, C!2), B!1, D!3, E)))))) <=> ((~![D: $i] : ((~m2_cat_1(D, A!0, k11_cat_2(B!1, C!2))) | ![E: $i] : ((~m2_cat_1(E, k11_cat_2(B!1, C!2), B!1)) | 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, D, k7_nattra_1(A!0, k11_cat_2(B!1, C!2), D), E), k7_nattra_1(A!0, B!1, k2_isocat_1(A!0, k11_cat_2(B!1, C!2), B!1, D, E)))))) | (~m2_cat_1(D!3, A!0, k11_cat_2(B!1, C!2))) | ![E: $i] : ((~m2_cat_1(E, k11_cat_2(B!1, C!2), B!1)) | 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, D!3, k7_nattra_1(A!0, k11_cat_2(B!1, C!2), D!3), E), k7_nattra_1(A!0, B!1, k2_isocat_1(A!0, k11_cat_2(B!1, C!2), B!1, D!3, E)))))),
% 36.85/23.59      inference(rewrite,[status(thm)],[])).
% 36.85/23.59  tff(365,plain,
% 36.85/23.59      ((~![D: $i] : ((~m2_cat_1(D, A!0, k11_cat_2(B!1, C!2))) | ![E: $i] : ((~m2_cat_1(E, k11_cat_2(B!1, C!2), B!1)) | 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, D, k7_nattra_1(A!0, k11_cat_2(B!1, C!2), D), E), k7_nattra_1(A!0, B!1, k2_isocat_1(A!0, k11_cat_2(B!1, C!2), B!1, D, E)))))) | ((~m2_cat_1(D!3, A!0, k11_cat_2(B!1, C!2))) | ![E: $i] : ((~m2_cat_1(E, k11_cat_2(B!1, C!2), B!1)) | 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, D!3, k7_nattra_1(A!0, k11_cat_2(B!1, C!2), D!3), E), k7_nattra_1(A!0, B!1, k2_isocat_1(A!0, k11_cat_2(B!1, C!2), B!1, D!3, E)))))),
% 36.85/23.59      inference(quant_inst,[status(thm)],[])).
% 36.85/23.59  tff(366,plain,
% 36.85/23.59      ((~![D: $i] : ((~m2_cat_1(D, A!0, k11_cat_2(B!1, C!2))) | ![E: $i] : ((~m2_cat_1(E, k11_cat_2(B!1, C!2), B!1)) | 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, D, k7_nattra_1(A!0, k11_cat_2(B!1, C!2), D), E), k7_nattra_1(A!0, B!1, k2_isocat_1(A!0, k11_cat_2(B!1, C!2), B!1, D, E)))))) | (~m2_cat_1(D!3, A!0, k11_cat_2(B!1, C!2))) | ![E: $i] : ((~m2_cat_1(E, k11_cat_2(B!1, C!2), B!1)) | 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, D!3, k7_nattra_1(A!0, k11_cat_2(B!1, C!2), D!3), E), k7_nattra_1(A!0, B!1, k2_isocat_1(A!0, k11_cat_2(B!1, C!2), B!1, D!3, E))))),
% 36.85/23.59      inference(modus_ponens,[status(thm)],[365, 364])).
% 36.85/23.59  tff(367,plain,
% 36.85/23.59      (![E: $i] : ((~m2_cat_1(E, k11_cat_2(B!1, C!2), B!1)) | 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, D!3, k7_nattra_1(A!0, k11_cat_2(B!1, C!2), D!3), E), k7_nattra_1(A!0, B!1, k2_isocat_1(A!0, k11_cat_2(B!1, C!2), B!1, D!3, E))))),
% 36.85/23.59      inference(unit_resolution,[status(thm)],[366, 69, 363])).
% 36.85/23.59  tff(368,plain,
% 36.85/23.59      (^[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))))),
% 36.85/23.59      inference(bind,[status(th)],[])).
% 36.85/23.59  tff(369,plain,
% 36.85/23.59      (![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)))),
% 36.85/23.59      inference(quant_intro,[status(thm)],[368])).
% 36.85/23.59  tff(370,plain,
% 36.85/23.59      (^[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)))))),
% 36.85/23.59      inference(bind,[status(th)],[])).
% 36.85/23.59  tff(371,plain,
% 36.85/23.59      (![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)))),
% 36.85/23.59      inference(quant_intro,[status(thm)],[370])).
% 36.85/23.59  tff(372,plain,
% 36.85/23.59      (![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))),
% 36.85/23.59      inference(rewrite,[status(thm)],[])).
% 36.85/23.59  tff(373,plain,
% 36.85/23.59      (^[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))))),
% 36.85/23.59      inference(bind,[status(th)],[])).
% 36.85/23.59  tff(374,plain,
% 36.85/23.59      (![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))),
% 36.85/23.59      inference(quant_intro,[status(thm)],[373])).
% 36.85/23.59  tff(375,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')).
% 36.85/23.59  tff(376,plain,
% 36.85/23.59      (![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))),
% 36.85/23.59      inference(modus_ponens,[status(thm)],[375, 374])).
% 36.85/23.59  tff(377,plain,
% 36.85/23.59      (![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))),
% 36.85/23.59      inference(modus_ponens,[status(thm)],[376, 372])).
% 36.85/23.59  tff(378,plain,(
% 36.85/23.59      ![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))),
% 36.85/23.59      inference(skolemize,[status(sab)],[377])).
% 36.85/23.59  tff(379,plain,
% 36.85/23.59      (![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)))),
% 36.85/23.59      inference(modus_ponens,[status(thm)],[378, 371])).
% 36.85/23.59  tff(380,plain,
% 36.85/23.59      (![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)))),
% 36.85/23.59      inference(modus_ponens,[status(thm)],[379, 369])).
% 36.85/23.59  tff(381,plain,
% 36.85/23.59      (((~![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)))) | ((~v2_cat_1(B!1)) | (~l1_cat_1(B!1)) | (~v2_cat_1(C!2)) | (~l1_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)))) | (~v2_cat_1(B!1)) | (~l1_cat_1(B!1)) | (~v2_cat_1(C!2)) | (~l1_cat_1(C!2)) | m2_cat_1(k16_cat_2(B!1, C!2), k11_cat_2(B!1, C!2), B!1))),
% 36.85/23.59      inference(rewrite,[status(thm)],[])).
% 36.85/23.59  tff(382,plain,
% 36.85/23.59      ((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))) <=> ((~v2_cat_1(B!1)) | (~l1_cat_1(B!1)) | (~v2_cat_1(C!2)) | (~l1_cat_1(C!2)) | m2_cat_1(k16_cat_2(B!1, C!2), k11_cat_2(B!1, C!2), B!1))),
% 36.85/23.59      inference(rewrite,[status(thm)],[])).
% 36.85/23.59  tff(383,plain,
% 36.85/23.59      (((~![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)))) | ((~v2_cat_1(B!1)) | (~l1_cat_1(B!1)) | (~v2_cat_1(C!2)) | (~l1_cat_1(C!2)) | m2_cat_1(k16_cat_2(B!1, C!2), k11_cat_2(B!1, C!2), B!1)))),
% 36.85/23.59      inference(monotonicity,[status(thm)],[382])).
% 36.85/23.59  tff(384,plain,
% 36.85/23.59      (((~![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)))) | (~v2_cat_1(B!1)) | (~l1_cat_1(B!1)) | (~v2_cat_1(C!2)) | (~l1_cat_1(C!2)) | m2_cat_1(k16_cat_2(B!1, C!2), k11_cat_2(B!1, C!2), B!1))),
% 36.85/23.59      inference(transitivity,[status(thm)],[383, 381])).
% 36.85/23.59  tff(385,plain,
% 36.85/23.59      ((~![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)))),
% 36.85/23.59      inference(quant_inst,[status(thm)],[])).
% 36.85/23.59  tff(386,plain,
% 36.85/23.59      ((~![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)))) | (~v2_cat_1(B!1)) | (~l1_cat_1(B!1)) | (~v2_cat_1(C!2)) | (~l1_cat_1(C!2)) | m2_cat_1(k16_cat_2(B!1, C!2), k11_cat_2(B!1, C!2), B!1)),
% 36.85/23.59      inference(modus_ponens,[status(thm)],[385, 384])).
% 36.85/23.59  tff(387,plain,
% 36.85/23.59      (m2_cat_1(k16_cat_2(B!1, C!2), k11_cat_2(B!1, C!2), B!1)),
% 36.85/23.59      inference(unit_resolution,[status(thm)],[386, 40, 39, 38, 37, 380])).
% 36.85/23.59  tff(388,plain,
% 36.85/23.59      (((~![E: $i] : ((~m2_cat_1(E, k11_cat_2(B!1, C!2), B!1)) | 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, D!3, k7_nattra_1(A!0, k11_cat_2(B!1, C!2), D!3), E), k7_nattra_1(A!0, B!1, k2_isocat_1(A!0, k11_cat_2(B!1, C!2), B!1, D!3, E))))) | ((~m2_cat_1(k16_cat_2(B!1, C!2), k11_cat_2(B!1, C!2), B!1)) | 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, D!3, k7_nattra_1(A!0, k11_cat_2(B!1, C!2), D!3), k16_cat_2(B!1, C!2)), k7_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)))))) <=> ((~![E: $i] : ((~m2_cat_1(E, k11_cat_2(B!1, C!2), B!1)) | 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, D!3, k7_nattra_1(A!0, k11_cat_2(B!1, C!2), D!3), E), k7_nattra_1(A!0, B!1, k2_isocat_1(A!0, k11_cat_2(B!1, C!2), B!1, D!3, E))))) | (~m2_cat_1(k16_cat_2(B!1, C!2), k11_cat_2(B!1, C!2), B!1)) | 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, D!3, k7_nattra_1(A!0, k11_cat_2(B!1, C!2), D!3), k16_cat_2(B!1, C!2)), k7_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)))))),
% 36.85/23.60      inference(rewrite,[status(thm)],[])).
% 36.85/23.60  tff(389,plain,
% 36.85/23.60      ((~![E: $i] : ((~m2_cat_1(E, k11_cat_2(B!1, C!2), B!1)) | 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, D!3, k7_nattra_1(A!0, k11_cat_2(B!1, C!2), D!3), E), k7_nattra_1(A!0, B!1, k2_isocat_1(A!0, k11_cat_2(B!1, C!2), B!1, D!3, E))))) | ((~m2_cat_1(k16_cat_2(B!1, C!2), k11_cat_2(B!1, C!2), B!1)) | 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, D!3, k7_nattra_1(A!0, k11_cat_2(B!1, C!2), D!3), k16_cat_2(B!1, C!2)), k7_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)))))),
% 36.85/23.60      inference(quant_inst,[status(thm)],[])).
% 36.85/23.60  tff(390,plain,
% 36.85/23.60      ((~![E: $i] : ((~m2_cat_1(E, k11_cat_2(B!1, C!2), B!1)) | 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, D!3, k7_nattra_1(A!0, k11_cat_2(B!1, C!2), D!3), E), k7_nattra_1(A!0, B!1, k2_isocat_1(A!0, k11_cat_2(B!1, C!2), B!1, D!3, E))))) | (~m2_cat_1(k16_cat_2(B!1, C!2), k11_cat_2(B!1, C!2), B!1)) | 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, D!3, k7_nattra_1(A!0, k11_cat_2(B!1, C!2), D!3), k16_cat_2(B!1, C!2)), k7_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))))),
% 36.85/23.60      inference(modus_ponens,[status(thm)],[389, 388])).
% 36.85/23.60  tff(391,plain,
% 36.85/23.60      (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, D!3, k7_nattra_1(A!0, k11_cat_2(B!1, C!2), D!3), k16_cat_2(B!1, C!2)), k7_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))))),
% 36.85/23.60      inference(unit_resolution,[status(thm)],[390, 387, 367])).
% 36.85/23.60  tff(392,plain,
% 36.85/23.60      (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, D!3, k7_nattra_1(A!0, k11_cat_2(B!1, C!2), D!3), k16_cat_2(B!1, C!2)), k4_nattra_1(A!0, B!1, k11_isocat_2(A!0, B!1, C!2, D!3)))),
% 36.85/23.60      inference(modus_ponens,[status(thm)],[391, 332])).
% 36.85/23.60  tff(393,plain,
% 36.85/23.60      (v1_funct_2(k6_isocat_1(A!0, k11_cat_2(B!1, C!2), B!1, D!3, D!3, k7_nattra_1(A!0, k11_cat_2(B!1, C!2), D!3), k16_cat_2(B!1, C!2)), u1_cat_1(A!0), u2_cat_1(B!1)) <=> v1_funct_2(k13_isocat_2(A!0, B!1, C!2, D!3, D!3, k7_nattra_1(A!0, k11_cat_2(B!1, C!2), D!3)), u1_cat_1(A!0), u2_cat_1(B!1))),
% 36.85/23.60      inference(monotonicity,[status(thm)],[172])).
% 36.85/23.60  tff(394,plain,
% 36.85/23.60      (v1_funct_2(k13_isocat_2(A!0, B!1, C!2, D!3, D!3, k7_nattra_1(A!0, k11_cat_2(B!1, C!2), D!3)), u1_cat_1(A!0), u2_cat_1(B!1)) <=> v1_funct_2(k6_isocat_1(A!0, k11_cat_2(B!1, C!2), B!1, D!3, D!3, k7_nattra_1(A!0, k11_cat_2(B!1, C!2), D!3), k16_cat_2(B!1, C!2)), u1_cat_1(A!0), u2_cat_1(B!1))),
% 36.85/23.60      inference(symmetry,[status(thm)],[393])).
% 36.85/23.60  tff(395,plain,
% 36.85/23.60      (((~v1_funct_1(k13_isocat_2(A!0, B!1, C!2, D!3, D!3, k7_nattra_1(A!0, k11_cat_2(B!1, C!2), D!3)))) | (~v1_funct_2(k13_isocat_2(A!0, B!1, C!2, D!3, D!3, k7_nattra_1(A!0, k11_cat_2(B!1, C!2), D!3)), u1_cat_1(A!0), u2_cat_1(B!1))) | (~m2_relset_1(k13_isocat_2(A!0, B!1, C!2, D!3, D!3, k7_nattra_1(A!0, k11_cat_2(B!1, C!2), D!3)), u1_cat_1(A!0), u2_cat_1(B!1)))) | v1_funct_2(k13_isocat_2(A!0, B!1, C!2, D!3, D!3, k7_nattra_1(A!0, k11_cat_2(B!1, C!2), D!3)), u1_cat_1(A!0), u2_cat_1(B!1))),
% 36.85/23.60      inference(tautology,[status(thm)],[])).
% 36.85/23.60  tff(396,plain,
% 36.85/23.60      (v1_funct_2(k13_isocat_2(A!0, B!1, C!2, D!3, D!3, k7_nattra_1(A!0, k11_cat_2(B!1, C!2), D!3)), u1_cat_1(A!0), u2_cat_1(B!1))),
% 36.85/23.60      inference(unit_resolution,[status(thm)],[395, 286])).
% 36.85/23.60  tff(397,plain,
% 36.85/23.60      (v1_funct_2(k6_isocat_1(A!0, k11_cat_2(B!1, C!2), B!1, D!3, D!3, k7_nattra_1(A!0, k11_cat_2(B!1, C!2), D!3), k16_cat_2(B!1, C!2)), u1_cat_1(A!0), u2_cat_1(B!1))),
% 36.85/23.60      inference(modus_ponens,[status(thm)],[396, 394])).
% 36.85/23.60  tff(398,plain,
% 36.85/23.60      (k6_isocat_1(A!0, k11_cat_2(B!1, C!2), B!1, D!3, D!3, k4_nattra_1(A!0, k11_cat_2(B!1, C!2), D!3), k8_isocat_2(B!1, C!2)) = k6_isocat_1(A!0, k11_cat_2(B!1, C!2), B!1, D!3, D!3, k7_nattra_1(A!0, k11_cat_2(B!1, C!2), D!3), k16_cat_2(B!1, C!2))),
% 36.85/23.60      inference(symmetry,[status(thm)],[171])).
% 36.85/23.60  tff(399,plain,
% 36.85/23.60      (k13_isocat_2(A!0, B!1, C!2, D!3, D!3, k7_nattra_1(A!0, k11_cat_2(B!1, C!2), D!3)) = k6_isocat_1(A!0, k11_cat_2(B!1, C!2), B!1, D!3, D!3, k7_nattra_1(A!0, k11_cat_2(B!1, C!2), D!3), k16_cat_2(B!1, C!2))),
% 36.85/23.60      inference(transitivity,[status(thm)],[204, 148, 398])).
% 36.85/23.60  tff(400,plain,
% 36.85/23.60      (m1_relset_1(k13_isocat_2(A!0, B!1, C!2, D!3, D!3, k7_nattra_1(A!0, k11_cat_2(B!1, C!2), D!3)), u1_cat_1(A!0), u2_cat_1(B!1)) <=> m1_relset_1(k6_isocat_1(A!0, k11_cat_2(B!1, C!2), B!1, D!3, D!3, k7_nattra_1(A!0, k11_cat_2(B!1, C!2), D!3), k16_cat_2(B!1, C!2)), u1_cat_1(A!0), u2_cat_1(B!1))),
% 36.85/23.60      inference(monotonicity,[status(thm)],[399])).
% 36.85/23.60  tff(401,plain,
% 36.85/23.60      (^[A: $i, B: $i, C: $i] : refl((m2_relset_1(C, A, B) <=> m1_relset_1(C, A, B)) <=> (m2_relset_1(C, A, B) <=> m1_relset_1(C, A, B)))),
% 36.85/23.60      inference(bind,[status(th)],[])).
% 36.85/23.60  tff(402,plain,
% 36.85/23.60      (![A: $i, B: $i, C: $i] : (m2_relset_1(C, A, B) <=> m1_relset_1(C, A, B)) <=> ![A: $i, B: $i, C: $i] : (m2_relset_1(C, A, B) <=> m1_relset_1(C, A, B))),
% 36.85/23.60      inference(quant_intro,[status(thm)],[401])).
% 36.85/23.60  tff(403,plain,
% 36.85/23.60      (![A: $i, B: $i, C: $i] : (m2_relset_1(C, A, B) <=> m1_relset_1(C, A, B)) <=> ![A: $i, B: $i, C: $i] : (m2_relset_1(C, A, B) <=> m1_relset_1(C, A, B))),
% 36.85/23.60      inference(rewrite,[status(thm)],[])).
% 36.85/23.60  tff(404,axiom,(![A: $i, B: $i, C: $i] : (m2_relset_1(C, A, B) <=> m1_relset_1(C, A, B))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','redefinition_m2_relset_1')).
% 36.85/23.60  tff(405,plain,
% 36.85/23.60      (![A: $i, B: $i, C: $i] : (m2_relset_1(C, A, B) <=> m1_relset_1(C, A, B))),
% 36.85/23.60      inference(modus_ponens,[status(thm)],[404, 403])).
% 36.85/23.60  tff(406,plain,(
% 36.85/23.60      ![A: $i, B: $i, C: $i] : (m2_relset_1(C, A, B) <=> m1_relset_1(C, A, B))),
% 36.85/23.60      inference(skolemize,[status(sab)],[405])).
% 36.85/23.60  tff(407,plain,
% 36.85/23.60      (![A: $i, B: $i, C: $i] : (m2_relset_1(C, A, B) <=> m1_relset_1(C, A, B))),
% 36.85/23.60      inference(modus_ponens,[status(thm)],[406, 402])).
% 36.85/23.60  tff(408,plain,
% 36.85/23.60      ((~![A: $i, B: $i, C: $i] : (m2_relset_1(C, A, B) <=> m1_relset_1(C, A, B))) | (m2_relset_1(k13_isocat_2(A!0, B!1, C!2, D!3, D!3, k7_nattra_1(A!0, k11_cat_2(B!1, C!2), D!3)), u1_cat_1(A!0), u2_cat_1(B!1)) <=> m1_relset_1(k13_isocat_2(A!0, B!1, C!2, D!3, D!3, k7_nattra_1(A!0, k11_cat_2(B!1, C!2), D!3)), u1_cat_1(A!0), u2_cat_1(B!1)))),
% 36.85/23.60      inference(quant_inst,[status(thm)],[])).
% 36.85/23.60  tff(409,plain,
% 36.85/23.60      (m2_relset_1(k13_isocat_2(A!0, B!1, C!2, D!3, D!3, k7_nattra_1(A!0, k11_cat_2(B!1, C!2), D!3)), u1_cat_1(A!0), u2_cat_1(B!1)) <=> m1_relset_1(k13_isocat_2(A!0, B!1, C!2, D!3, D!3, k7_nattra_1(A!0, k11_cat_2(B!1, C!2), D!3)), u1_cat_1(A!0), u2_cat_1(B!1))),
% 36.85/23.60      inference(unit_resolution,[status(thm)],[408, 407])).
% 36.85/23.60  tff(410,plain,
% 36.85/23.60      (((~v1_funct_1(k13_isocat_2(A!0, B!1, C!2, D!3, D!3, k7_nattra_1(A!0, k11_cat_2(B!1, C!2), D!3)))) | (~v1_funct_2(k13_isocat_2(A!0, B!1, C!2, D!3, D!3, k7_nattra_1(A!0, k11_cat_2(B!1, C!2), D!3)), u1_cat_1(A!0), u2_cat_1(B!1))) | (~m2_relset_1(k13_isocat_2(A!0, B!1, C!2, D!3, D!3, k7_nattra_1(A!0, k11_cat_2(B!1, C!2), D!3)), u1_cat_1(A!0), u2_cat_1(B!1)))) | m2_relset_1(k13_isocat_2(A!0, B!1, C!2, D!3, D!3, k7_nattra_1(A!0, k11_cat_2(B!1, C!2), D!3)), u1_cat_1(A!0), u2_cat_1(B!1))),
% 36.85/23.60      inference(tautology,[status(thm)],[])).
% 36.85/23.60  tff(411,plain,
% 36.85/23.60      (m2_relset_1(k13_isocat_2(A!0, B!1, C!2, D!3, D!3, k7_nattra_1(A!0, k11_cat_2(B!1, C!2), D!3)), u1_cat_1(A!0), u2_cat_1(B!1))),
% 36.85/23.60      inference(unit_resolution,[status(thm)],[410, 286])).
% 36.85/23.60  tff(412,plain,
% 36.85/23.60      ((~(m2_relset_1(k13_isocat_2(A!0, B!1, C!2, D!3, D!3, k7_nattra_1(A!0, k11_cat_2(B!1, C!2), D!3)), u1_cat_1(A!0), u2_cat_1(B!1)) <=> m1_relset_1(k13_isocat_2(A!0, B!1, C!2, D!3, D!3, k7_nattra_1(A!0, k11_cat_2(B!1, C!2), D!3)), u1_cat_1(A!0), u2_cat_1(B!1)))) | (~m2_relset_1(k13_isocat_2(A!0, B!1, C!2, D!3, D!3, k7_nattra_1(A!0, k11_cat_2(B!1, C!2), D!3)), u1_cat_1(A!0), u2_cat_1(B!1))) | m1_relset_1(k13_isocat_2(A!0, B!1, C!2, D!3, D!3, k7_nattra_1(A!0, k11_cat_2(B!1, C!2), D!3)), u1_cat_1(A!0), u2_cat_1(B!1))),
% 36.85/23.60      inference(tautology,[status(thm)],[])).
% 36.85/23.60  tff(413,plain,
% 36.85/23.60      ((~(m2_relset_1(k13_isocat_2(A!0, B!1, C!2, D!3, D!3, k7_nattra_1(A!0, k11_cat_2(B!1, C!2), D!3)), u1_cat_1(A!0), u2_cat_1(B!1)) <=> m1_relset_1(k13_isocat_2(A!0, B!1, C!2, D!3, D!3, k7_nattra_1(A!0, k11_cat_2(B!1, C!2), D!3)), u1_cat_1(A!0), u2_cat_1(B!1)))) | m1_relset_1(k13_isocat_2(A!0, B!1, C!2, D!3, D!3, k7_nattra_1(A!0, k11_cat_2(B!1, C!2), D!3)), u1_cat_1(A!0), u2_cat_1(B!1))),
% 36.85/23.60      inference(unit_resolution,[status(thm)],[412, 411])).
% 36.85/23.60  tff(414,plain,
% 36.85/23.60      (m1_relset_1(k13_isocat_2(A!0, B!1, C!2, D!3, D!3, k7_nattra_1(A!0, k11_cat_2(B!1, C!2), D!3)), u1_cat_1(A!0), u2_cat_1(B!1))),
% 36.85/23.60      inference(unit_resolution,[status(thm)],[413, 409])).
% 36.85/23.60  tff(415,plain,
% 36.85/23.60      (m1_relset_1(k6_isocat_1(A!0, k11_cat_2(B!1, C!2), B!1, D!3, D!3, k7_nattra_1(A!0, k11_cat_2(B!1, C!2), D!3), k16_cat_2(B!1, C!2)), u1_cat_1(A!0), u2_cat_1(B!1))),
% 36.85/23.60      inference(modus_ponens,[status(thm)],[414, 400])).
% 36.85/23.60  tff(416,plain,
% 36.85/23.60      ((~![A: $i, B: $i, C: $i] : (m2_relset_1(C, A, B) <=> m1_relset_1(C, A, B))) | (m2_relset_1(k4_nattra_1(A!0, B!1, k11_isocat_2(A!0, B!1, C!2, D!3)), u1_cat_1(A!0), u2_cat_1(B!1)) <=> m1_relset_1(k4_nattra_1(A!0, B!1, k11_isocat_2(A!0, B!1, C!2, D!3)), u1_cat_1(A!0), u2_cat_1(B!1)))),
% 36.85/23.60      inference(quant_inst,[status(thm)],[])).
% 36.85/23.60  tff(417,plain,
% 36.85/23.60      (m2_relset_1(k4_nattra_1(A!0, B!1, k11_isocat_2(A!0, B!1, C!2, D!3)), u1_cat_1(A!0), u2_cat_1(B!1)) <=> m1_relset_1(k4_nattra_1(A!0, B!1, k11_isocat_2(A!0, B!1, C!2, D!3)), u1_cat_1(A!0), u2_cat_1(B!1))),
% 36.85/23.60      inference(unit_resolution,[status(thm)],[416, 407])).
% 36.85/23.60  tff(418,plain,
% 36.85/23.60      (^[A: $i, B: $i, C: $i] : refl((m1_nattra_1(k4_nattra_1(A, B, C), A, B, C, C) | (~m2_cat_1(C, A, B)) | (~v2_cat_1(A)) | (~l1_cat_1(A)) | (~v2_cat_1(B)) | (~l1_cat_1(B))) <=> (m1_nattra_1(k4_nattra_1(A, B, C), A, B, C, C) | (~m2_cat_1(C, A, B)) | (~v2_cat_1(A)) | (~l1_cat_1(A)) | (~v2_cat_1(B)) | (~l1_cat_1(B))))),
% 36.85/23.60      inference(bind,[status(th)],[])).
% 36.85/23.60  tff(419,plain,
% 36.85/23.60      (![A: $i, B: $i, C: $i] : (m1_nattra_1(k4_nattra_1(A, B, C), A, B, C, C) | (~m2_cat_1(C, A, B)) | (~v2_cat_1(A)) | (~l1_cat_1(A)) | (~v2_cat_1(B)) | (~l1_cat_1(B))) <=> ![A: $i, B: $i, C: $i] : (m1_nattra_1(k4_nattra_1(A, B, C), A, B, C, C) | (~m2_cat_1(C, A, B)) | (~v2_cat_1(A)) | (~l1_cat_1(A)) | (~v2_cat_1(B)) | (~l1_cat_1(B)))),
% 36.85/23.60      inference(quant_intro,[status(thm)],[418])).
% 36.85/23.60  tff(420,plain,
% 36.85/23.60      (^[A: $i, B: $i, C: $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(C, A, 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))) <=> (~(~((~m2_cat_1(C, A, B)) | (~v2_cat_1(A)) | (~l1_cat_1(A)) | (~v2_cat_1(B)) | (~l1_cat_1(B))))))), rewrite((~(~((~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)))), ((~(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(C, A, 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))) | m1_nattra_1(k4_nattra_1(A, B, C), A, B, C, C)) <=> (((~m2_cat_1(C, A, B)) | (~v2_cat_1(A)) | (~l1_cat_1(A)) | (~v2_cat_1(B)) | (~l1_cat_1(B))) | m1_nattra_1(k4_nattra_1(A, B, C), A, B, C, C)))), rewrite((((~m2_cat_1(C, A, B)) | (~v2_cat_1(A)) | (~l1_cat_1(A)) | (~v2_cat_1(B)) | (~l1_cat_1(B))) | m1_nattra_1(k4_nattra_1(A, B, C), A, B, C, C)) <=> (m1_nattra_1(k4_nattra_1(A, B, C), A, B, C, C) | (~m2_cat_1(C, A, 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))) | m1_nattra_1(k4_nattra_1(A, B, C), A, B, C, C)) <=> (m1_nattra_1(k4_nattra_1(A, B, C), A, B, C, C) | (~m2_cat_1(C, A, B)) | (~v2_cat_1(A)) | (~l1_cat_1(A)) | (~v2_cat_1(B)) | (~l1_cat_1(B)))))),
% 36.85/23.61      inference(bind,[status(th)],[])).
% 36.85/23.61  tff(421,plain,
% 36.85/23.61      (![A: $i, B: $i, C: $i] : ((~(v2_cat_1(A) & l1_cat_1(A) & v2_cat_1(B) & l1_cat_1(B) & m2_cat_1(C, A, B))) | m1_nattra_1(k4_nattra_1(A, B, C), A, B, C, C)) <=> ![A: $i, B: $i, C: $i] : (m1_nattra_1(k4_nattra_1(A, B, C), A, B, C, C) | (~m2_cat_1(C, A, B)) | (~v2_cat_1(A)) | (~l1_cat_1(A)) | (~v2_cat_1(B)) | (~l1_cat_1(B)))),
% 36.85/23.61      inference(quant_intro,[status(thm)],[420])).
% 36.85/23.61  tff(422,plain,
% 36.85/23.61      (![A: $i, B: $i, C: $i] : ((~(v2_cat_1(A) & l1_cat_1(A) & v2_cat_1(B) & l1_cat_1(B) & m2_cat_1(C, A, B))) | m1_nattra_1(k4_nattra_1(A, B, C), A, B, C, C)) <=> ![A: $i, B: $i, C: $i] : ((~(v2_cat_1(A) & l1_cat_1(A) & v2_cat_1(B) & l1_cat_1(B) & m2_cat_1(C, A, B))) | m1_nattra_1(k4_nattra_1(A, B, C), A, B, C, C))),
% 36.85/23.61      inference(rewrite,[status(thm)],[])).
% 36.85/23.61  tff(423,plain,
% 36.85/23.61      (^[A: $i, B: $i, C: $i] : 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)) => m1_nattra_1(k4_nattra_1(A, B, C), A, B, C, C)) <=> ((v2_cat_1(A) & l1_cat_1(A) & v2_cat_1(B) & l1_cat_1(B) & m2_cat_1(C, A, B)) => m1_nattra_1(k4_nattra_1(A, B, C), A, B, C, C)))), rewrite(((v2_cat_1(A) & l1_cat_1(A) & v2_cat_1(B) & l1_cat_1(B) & m2_cat_1(C, A, B)) => m1_nattra_1(k4_nattra_1(A, B, C), A, B, C, C)) <=> ((~(v2_cat_1(A) & l1_cat_1(A) & v2_cat_1(B) & l1_cat_1(B) & m2_cat_1(C, A, B))) | m1_nattra_1(k4_nattra_1(A, B, C), A, B, C, C))), ((((((v2_cat_1(A) & l1_cat_1(A)) & v2_cat_1(B)) & l1_cat_1(B)) & m2_cat_1(C, A, B)) => m1_nattra_1(k4_nattra_1(A, B, C), A, B, C, C)) <=> ((~(v2_cat_1(A) & l1_cat_1(A) & v2_cat_1(B) & l1_cat_1(B) & m2_cat_1(C, A, B))) | m1_nattra_1(k4_nattra_1(A, B, C), A, B, C, C))))),
% 36.85/23.61      inference(bind,[status(th)],[])).
% 36.85/23.61  tff(424,plain,
% 36.85/23.61      (![A: $i, B: $i, C: $i] : (((((v2_cat_1(A) & l1_cat_1(A)) & v2_cat_1(B)) & l1_cat_1(B)) & m2_cat_1(C, A, B)) => m1_nattra_1(k4_nattra_1(A, B, C), A, B, C, C)) <=> ![A: $i, B: $i, C: $i] : ((~(v2_cat_1(A) & l1_cat_1(A) & v2_cat_1(B) & l1_cat_1(B) & m2_cat_1(C, A, B))) | m1_nattra_1(k4_nattra_1(A, B, C), A, B, C, C))),
% 36.85/23.61      inference(quant_intro,[status(thm)],[423])).
% 36.85/23.61  tff(425,axiom,(![A: $i, B: $i, C: $i] : (((((v2_cat_1(A) & l1_cat_1(A)) & v2_cat_1(B)) & l1_cat_1(B)) & m2_cat_1(C, A, B)) => m1_nattra_1(k4_nattra_1(A, B, C), A, B, C, C))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','dt_k4_nattra_1')).
% 36.85/23.61  tff(426,plain,
% 36.85/23.61      (![A: $i, B: $i, C: $i] : ((~(v2_cat_1(A) & l1_cat_1(A) & v2_cat_1(B) & l1_cat_1(B) & m2_cat_1(C, A, B))) | m1_nattra_1(k4_nattra_1(A, B, C), A, B, C, C))),
% 36.85/23.61      inference(modus_ponens,[status(thm)],[425, 424])).
% 36.85/23.61  tff(427,plain,
% 36.85/23.61      (![A: $i, B: $i, C: $i] : ((~(v2_cat_1(A) & l1_cat_1(A) & v2_cat_1(B) & l1_cat_1(B) & m2_cat_1(C, A, B))) | m1_nattra_1(k4_nattra_1(A, B, C), A, B, C, C))),
% 36.85/23.61      inference(modus_ponens,[status(thm)],[426, 422])).
% 36.85/23.61  tff(428,plain,(
% 36.85/23.61      ![A: $i, B: $i, C: $i] : ((~(v2_cat_1(A) & l1_cat_1(A) & v2_cat_1(B) & l1_cat_1(B) & m2_cat_1(C, A, B))) | m1_nattra_1(k4_nattra_1(A, B, C), A, B, C, C))),
% 36.85/23.61      inference(skolemize,[status(sab)],[427])).
% 36.85/23.61  tff(429,plain,
% 36.85/23.61      (![A: $i, B: $i, C: $i] : (m1_nattra_1(k4_nattra_1(A, B, C), A, B, C, C) | (~m2_cat_1(C, A, B)) | (~v2_cat_1(A)) | (~l1_cat_1(A)) | (~v2_cat_1(B)) | (~l1_cat_1(B)))),
% 36.85/23.61      inference(modus_ponens,[status(thm)],[428, 421])).
% 36.85/23.61  tff(430,plain,
% 36.85/23.61      (![A: $i, B: $i, C: $i] : (m1_nattra_1(k4_nattra_1(A, B, C), A, B, C, C) | (~m2_cat_1(C, A, B)) | (~v2_cat_1(A)) | (~l1_cat_1(A)) | (~v2_cat_1(B)) | (~l1_cat_1(B)))),
% 36.85/23.61      inference(modus_ponens,[status(thm)],[429, 419])).
% 36.85/23.61  tff(431,plain,
% 36.85/23.61      (((~![A: $i, B: $i, C: $i] : (m1_nattra_1(k4_nattra_1(A, B, C), A, B, C, C) | (~m2_cat_1(C, A, B)) | (~v2_cat_1(A)) | (~l1_cat_1(A)) | (~v2_cat_1(B)) | (~l1_cat_1(B)))) | ((~v2_cat_1(A!0)) | (~l1_cat_1(A!0)) | (~v2_cat_1(B!1)) | (~l1_cat_1(B!1)) | (~m2_cat_1(k11_isocat_2(A!0, B!1, C!2, D!3), A!0, B!1)) | m1_nattra_1(k4_nattra_1(A!0, B!1, k11_isocat_2(A!0, B!1, C!2, D!3)), A!0, B!1, k11_isocat_2(A!0, B!1, C!2, D!3), k11_isocat_2(A!0, B!1, C!2, D!3)))) <=> ((~![A: $i, B: $i, C: $i] : (m1_nattra_1(k4_nattra_1(A, B, C), A, B, C, C) | (~m2_cat_1(C, A, B)) | (~v2_cat_1(A)) | (~l1_cat_1(A)) | (~v2_cat_1(B)) | (~l1_cat_1(B)))) | (~v2_cat_1(A!0)) | (~l1_cat_1(A!0)) | (~v2_cat_1(B!1)) | (~l1_cat_1(B!1)) | (~m2_cat_1(k11_isocat_2(A!0, B!1, C!2, D!3), A!0, B!1)) | m1_nattra_1(k4_nattra_1(A!0, B!1, k11_isocat_2(A!0, B!1, C!2, D!3)), A!0, B!1, k11_isocat_2(A!0, B!1, C!2, D!3), k11_isocat_2(A!0, B!1, C!2, D!3)))),
% 36.85/23.61      inference(rewrite,[status(thm)],[])).
% 36.85/23.61  tff(432,plain,
% 36.85/23.61      ((m1_nattra_1(k4_nattra_1(A!0, B!1, k11_isocat_2(A!0, B!1, C!2, D!3)), A!0, B!1, k11_isocat_2(A!0, B!1, C!2, D!3), k11_isocat_2(A!0, B!1, C!2, D!3)) | (~m2_cat_1(k11_isocat_2(A!0, B!1, C!2, D!3), A!0, B!1)) | (~v2_cat_1(A!0)) | (~l1_cat_1(A!0)) | (~v2_cat_1(B!1)) | (~l1_cat_1(B!1))) <=> ((~v2_cat_1(A!0)) | (~l1_cat_1(A!0)) | (~v2_cat_1(B!1)) | (~l1_cat_1(B!1)) | (~m2_cat_1(k11_isocat_2(A!0, B!1, C!2, D!3), A!0, B!1)) | m1_nattra_1(k4_nattra_1(A!0, B!1, k11_isocat_2(A!0, B!1, C!2, D!3)), A!0, B!1, k11_isocat_2(A!0, B!1, C!2, D!3), k11_isocat_2(A!0, B!1, C!2, D!3)))),
% 36.85/23.61      inference(rewrite,[status(thm)],[])).
% 36.85/23.61  tff(433,plain,
% 36.85/23.61      (((~![A: $i, B: $i, C: $i] : (m1_nattra_1(k4_nattra_1(A, B, C), A, B, C, C) | (~m2_cat_1(C, A, B)) | (~v2_cat_1(A)) | (~l1_cat_1(A)) | (~v2_cat_1(B)) | (~l1_cat_1(B)))) | (m1_nattra_1(k4_nattra_1(A!0, B!1, k11_isocat_2(A!0, B!1, C!2, D!3)), A!0, B!1, k11_isocat_2(A!0, B!1, C!2, D!3), k11_isocat_2(A!0, B!1, C!2, D!3)) | (~m2_cat_1(k11_isocat_2(A!0, B!1, C!2, D!3), A!0, B!1)) | (~v2_cat_1(A!0)) | (~l1_cat_1(A!0)) | (~v2_cat_1(B!1)) | (~l1_cat_1(B!1)))) <=> ((~![A: $i, B: $i, C: $i] : (m1_nattra_1(k4_nattra_1(A, B, C), A, B, C, C) | (~m2_cat_1(C, A, B)) | (~v2_cat_1(A)) | (~l1_cat_1(A)) | (~v2_cat_1(B)) | (~l1_cat_1(B)))) | ((~v2_cat_1(A!0)) | (~l1_cat_1(A!0)) | (~v2_cat_1(B!1)) | (~l1_cat_1(B!1)) | (~m2_cat_1(k11_isocat_2(A!0, B!1, C!2, D!3), A!0, B!1)) | m1_nattra_1(k4_nattra_1(A!0, B!1, k11_isocat_2(A!0, B!1, C!2, D!3)), A!0, B!1, k11_isocat_2(A!0, B!1, C!2, D!3), k11_isocat_2(A!0, B!1, C!2, D!3))))),
% 36.85/23.61      inference(monotonicity,[status(thm)],[432])).
% 36.85/23.61  tff(434,plain,
% 36.85/23.61      (((~![A: $i, B: $i, C: $i] : (m1_nattra_1(k4_nattra_1(A, B, C), A, B, C, C) | (~m2_cat_1(C, A, B)) | (~v2_cat_1(A)) | (~l1_cat_1(A)) | (~v2_cat_1(B)) | (~l1_cat_1(B)))) | (m1_nattra_1(k4_nattra_1(A!0, B!1, k11_isocat_2(A!0, B!1, C!2, D!3)), A!0, B!1, k11_isocat_2(A!0, B!1, C!2, D!3), k11_isocat_2(A!0, B!1, C!2, D!3)) | (~m2_cat_1(k11_isocat_2(A!0, B!1, C!2, D!3), A!0, B!1)) | (~v2_cat_1(A!0)) | (~l1_cat_1(A!0)) | (~v2_cat_1(B!1)) | (~l1_cat_1(B!1)))) <=> ((~![A: $i, B: $i, C: $i] : (m1_nattra_1(k4_nattra_1(A, B, C), A, B, C, C) | (~m2_cat_1(C, A, B)) | (~v2_cat_1(A)) | (~l1_cat_1(A)) | (~v2_cat_1(B)) | (~l1_cat_1(B)))) | (~v2_cat_1(A!0)) | (~l1_cat_1(A!0)) | (~v2_cat_1(B!1)) | (~l1_cat_1(B!1)) | (~m2_cat_1(k11_isocat_2(A!0, B!1, C!2, D!3), A!0, B!1)) | m1_nattra_1(k4_nattra_1(A!0, B!1, k11_isocat_2(A!0, B!1, C!2, D!3)), A!0, B!1, k11_isocat_2(A!0, B!1, C!2, D!3), k11_isocat_2(A!0, B!1, C!2, D!3)))),
% 36.85/23.61      inference(transitivity,[status(thm)],[433, 431])).
% 36.85/23.61  tff(435,plain,
% 36.85/23.61      ((~![A: $i, B: $i, C: $i] : (m1_nattra_1(k4_nattra_1(A, B, C), A, B, C, C) | (~m2_cat_1(C, A, B)) | (~v2_cat_1(A)) | (~l1_cat_1(A)) | (~v2_cat_1(B)) | (~l1_cat_1(B)))) | (m1_nattra_1(k4_nattra_1(A!0, B!1, k11_isocat_2(A!0, B!1, C!2, D!3)), A!0, B!1, k11_isocat_2(A!0, B!1, C!2, D!3), k11_isocat_2(A!0, B!1, C!2, D!3)) | (~m2_cat_1(k11_isocat_2(A!0, B!1, C!2, D!3), A!0, B!1)) | (~v2_cat_1(A!0)) | (~l1_cat_1(A!0)) | (~v2_cat_1(B!1)) | (~l1_cat_1(B!1)))),
% 36.85/23.61      inference(quant_inst,[status(thm)],[])).
% 36.85/23.61  tff(436,plain,
% 36.85/23.61      ((~![A: $i, B: $i, C: $i] : (m1_nattra_1(k4_nattra_1(A, B, C), A, B, C, C) | (~m2_cat_1(C, A, B)) | (~v2_cat_1(A)) | (~l1_cat_1(A)) | (~v2_cat_1(B)) | (~l1_cat_1(B)))) | (~v2_cat_1(A!0)) | (~l1_cat_1(A!0)) | (~v2_cat_1(B!1)) | (~l1_cat_1(B!1)) | (~m2_cat_1(k11_isocat_2(A!0, B!1, C!2, D!3), A!0, B!1)) | m1_nattra_1(k4_nattra_1(A!0, B!1, k11_isocat_2(A!0, B!1, C!2, D!3)), A!0, B!1, k11_isocat_2(A!0, B!1, C!2, D!3), k11_isocat_2(A!0, B!1, C!2, D!3))),
% 36.85/23.61      inference(modus_ponens,[status(thm)],[435, 434])).
% 36.85/23.61  tff(437,plain,
% 36.85/23.61      (m1_nattra_1(k4_nattra_1(A!0, B!1, k11_isocat_2(A!0, B!1, C!2, D!3)), A!0, B!1, k11_isocat_2(A!0, B!1, C!2, D!3), k11_isocat_2(A!0, B!1, C!2, D!3))),
% 36.85/23.61      inference(unit_resolution,[status(thm)],[436, 71, 70, 40, 39, 430, 192])).
% 36.85/23.61  tff(438,plain,
% 36.85/23.61      (((~![E: $i] : ((~m1_nattra_1(E, A!0, B!1, k11_isocat_2(A!0, B!1, C!2, D!3), k11_isocat_2(A!0, B!1, C!2, D!3))) | (~((~v1_funct_1(E)) | (~v1_funct_2(E, u1_cat_1(A!0), u2_cat_1(B!1))) | (~m2_relset_1(E, u1_cat_1(A!0), u2_cat_1(B!1))))))) | ((~m1_nattra_1(k4_nattra_1(A!0, B!1, k11_isocat_2(A!0, B!1, C!2, D!3)), A!0, B!1, k11_isocat_2(A!0, B!1, C!2, D!3), k11_isocat_2(A!0, B!1, C!2, D!3))) | (~((~v1_funct_1(k4_nattra_1(A!0, B!1, k11_isocat_2(A!0, B!1, C!2, D!3)))) | (~v1_funct_2(k4_nattra_1(A!0, B!1, k11_isocat_2(A!0, B!1, C!2, D!3)), u1_cat_1(A!0), u2_cat_1(B!1))) | (~m2_relset_1(k4_nattra_1(A!0, B!1, k11_isocat_2(A!0, B!1, C!2, D!3)), u1_cat_1(A!0), u2_cat_1(B!1))))))) <=> ((~![E: $i] : ((~m1_nattra_1(E, A!0, B!1, k11_isocat_2(A!0, B!1, C!2, D!3), k11_isocat_2(A!0, B!1, C!2, D!3))) | (~((~v1_funct_1(E)) | (~v1_funct_2(E, u1_cat_1(A!0), u2_cat_1(B!1))) | (~m2_relset_1(E, u1_cat_1(A!0), u2_cat_1(B!1))))))) | (~m1_nattra_1(k4_nattra_1(A!0, B!1, k11_isocat_2(A!0, B!1, C!2, D!3)), A!0, B!1, k11_isocat_2(A!0, B!1, C!2, D!3), k11_isocat_2(A!0, B!1, C!2, D!3))) | (~((~v1_funct_1(k4_nattra_1(A!0, B!1, k11_isocat_2(A!0, B!1, C!2, D!3)))) | (~v1_funct_2(k4_nattra_1(A!0, B!1, k11_isocat_2(A!0, B!1, C!2, D!3)), u1_cat_1(A!0), u2_cat_1(B!1))) | (~m2_relset_1(k4_nattra_1(A!0, B!1, k11_isocat_2(A!0, B!1, C!2, D!3)), u1_cat_1(A!0), u2_cat_1(B!1))))))),
% 36.85/23.61      inference(rewrite,[status(thm)],[])).
% 36.85/23.61  tff(439,plain,
% 36.85/23.61      ((~![E: $i] : ((~m1_nattra_1(E, A!0, B!1, k11_isocat_2(A!0, B!1, C!2, D!3), k11_isocat_2(A!0, B!1, C!2, D!3))) | (~((~v1_funct_1(E)) | (~v1_funct_2(E, u1_cat_1(A!0), u2_cat_1(B!1))) | (~m2_relset_1(E, u1_cat_1(A!0), u2_cat_1(B!1))))))) | ((~m1_nattra_1(k4_nattra_1(A!0, B!1, k11_isocat_2(A!0, B!1, C!2, D!3)), A!0, B!1, k11_isocat_2(A!0, B!1, C!2, D!3), k11_isocat_2(A!0, B!1, C!2, D!3))) | (~((~v1_funct_1(k4_nattra_1(A!0, B!1, k11_isocat_2(A!0, B!1, C!2, D!3)))) | (~v1_funct_2(k4_nattra_1(A!0, B!1, k11_isocat_2(A!0, B!1, C!2, D!3)), u1_cat_1(A!0), u2_cat_1(B!1))) | (~m2_relset_1(k4_nattra_1(A!0, B!1, k11_isocat_2(A!0, B!1, C!2, D!3)), u1_cat_1(A!0), u2_cat_1(B!1))))))),
% 36.85/23.62      inference(quant_inst,[status(thm)],[])).
% 36.85/23.62  tff(440,plain,
% 36.85/23.62      ((~![E: $i] : ((~m1_nattra_1(E, A!0, B!1, k11_isocat_2(A!0, B!1, C!2, D!3), k11_isocat_2(A!0, B!1, C!2, D!3))) | (~((~v1_funct_1(E)) | (~v1_funct_2(E, u1_cat_1(A!0), u2_cat_1(B!1))) | (~m2_relset_1(E, u1_cat_1(A!0), u2_cat_1(B!1))))))) | (~m1_nattra_1(k4_nattra_1(A!0, B!1, k11_isocat_2(A!0, B!1, C!2, D!3)), A!0, B!1, k11_isocat_2(A!0, B!1, C!2, D!3), k11_isocat_2(A!0, B!1, C!2, D!3))) | (~((~v1_funct_1(k4_nattra_1(A!0, B!1, k11_isocat_2(A!0, B!1, C!2, D!3)))) | (~v1_funct_2(k4_nattra_1(A!0, B!1, k11_isocat_2(A!0, B!1, C!2, D!3)), u1_cat_1(A!0), u2_cat_1(B!1))) | (~m2_relset_1(k4_nattra_1(A!0, B!1, k11_isocat_2(A!0, B!1, C!2, D!3)), u1_cat_1(A!0), u2_cat_1(B!1)))))),
% 36.85/23.62      inference(modus_ponens,[status(thm)],[439, 438])).
% 36.85/23.62  tff(441,plain,
% 36.85/23.62      (~((~v1_funct_1(k4_nattra_1(A!0, B!1, k11_isocat_2(A!0, B!1, C!2, D!3)))) | (~v1_funct_2(k4_nattra_1(A!0, B!1, k11_isocat_2(A!0, B!1, C!2, D!3)), u1_cat_1(A!0), u2_cat_1(B!1))) | (~m2_relset_1(k4_nattra_1(A!0, B!1, k11_isocat_2(A!0, B!1, C!2, D!3)), u1_cat_1(A!0), u2_cat_1(B!1))))),
% 36.85/23.62      inference(unit_resolution,[status(thm)],[440, 437, 282])).
% 36.85/23.62  tff(442,plain,
% 36.85/23.62      (((~v1_funct_1(k4_nattra_1(A!0, B!1, k11_isocat_2(A!0, B!1, C!2, D!3)))) | (~v1_funct_2(k4_nattra_1(A!0, B!1, k11_isocat_2(A!0, B!1, C!2, D!3)), u1_cat_1(A!0), u2_cat_1(B!1))) | (~m2_relset_1(k4_nattra_1(A!0, B!1, k11_isocat_2(A!0, B!1, C!2, D!3)), u1_cat_1(A!0), u2_cat_1(B!1)))) | m2_relset_1(k4_nattra_1(A!0, B!1, k11_isocat_2(A!0, B!1, C!2, D!3)), u1_cat_1(A!0), u2_cat_1(B!1))),
% 36.85/23.62      inference(tautology,[status(thm)],[])).
% 36.85/23.62  tff(443,plain,
% 36.85/23.62      (m2_relset_1(k4_nattra_1(A!0, B!1, k11_isocat_2(A!0, B!1, C!2, D!3)), u1_cat_1(A!0), u2_cat_1(B!1))),
% 36.85/23.62      inference(unit_resolution,[status(thm)],[442, 441])).
% 36.85/23.62  tff(444,plain,
% 36.85/23.62      ((~(m2_relset_1(k4_nattra_1(A!0, B!1, k11_isocat_2(A!0, B!1, C!2, D!3)), u1_cat_1(A!0), u2_cat_1(B!1)) <=> m1_relset_1(k4_nattra_1(A!0, B!1, k11_isocat_2(A!0, B!1, C!2, D!3)), u1_cat_1(A!0), u2_cat_1(B!1)))) | (~m2_relset_1(k4_nattra_1(A!0, B!1, k11_isocat_2(A!0, B!1, C!2, D!3)), u1_cat_1(A!0), u2_cat_1(B!1))) | m1_relset_1(k4_nattra_1(A!0, B!1, k11_isocat_2(A!0, B!1, C!2, D!3)), u1_cat_1(A!0), u2_cat_1(B!1))),
% 36.85/23.62      inference(tautology,[status(thm)],[])).
% 36.85/23.62  tff(445,plain,
% 36.85/23.62      ((~(m2_relset_1(k4_nattra_1(A!0, B!1, k11_isocat_2(A!0, B!1, C!2, D!3)), u1_cat_1(A!0), u2_cat_1(B!1)) <=> m1_relset_1(k4_nattra_1(A!0, B!1, k11_isocat_2(A!0, B!1, C!2, D!3)), u1_cat_1(A!0), u2_cat_1(B!1)))) | m1_relset_1(k4_nattra_1(A!0, B!1, k11_isocat_2(A!0, B!1, C!2, D!3)), u1_cat_1(A!0), u2_cat_1(B!1))),
% 36.85/23.62      inference(unit_resolution,[status(thm)],[444, 443])).
% 36.85/23.62  tff(446,plain,
% 36.85/23.62      (m1_relset_1(k4_nattra_1(A!0, B!1, k11_isocat_2(A!0, B!1, C!2, D!3)), u1_cat_1(A!0), u2_cat_1(B!1))),
% 36.85/23.62      inference(unit_resolution,[status(thm)],[445, 417])).
% 36.85/23.62  tff(447,plain,
% 36.85/23.62      (((~v1_funct_1(k4_nattra_1(A!0, B!1, k11_isocat_2(A!0, B!1, C!2, D!3)))) | (~v1_funct_2(k4_nattra_1(A!0, B!1, k11_isocat_2(A!0, B!1, C!2, D!3)), u1_cat_1(A!0), u2_cat_1(B!1))) | (~m2_relset_1(k4_nattra_1(A!0, B!1, k11_isocat_2(A!0, B!1, C!2, D!3)), u1_cat_1(A!0), u2_cat_1(B!1)))) | v1_funct_2(k4_nattra_1(A!0, B!1, k11_isocat_2(A!0, B!1, C!2, D!3)), u1_cat_1(A!0), u2_cat_1(B!1))),
% 36.85/23.62      inference(tautology,[status(thm)],[])).
% 36.85/23.62  tff(448,plain,
% 36.85/23.62      (v1_funct_2(k4_nattra_1(A!0, B!1, k11_isocat_2(A!0, B!1, C!2, D!3)), u1_cat_1(A!0), u2_cat_1(B!1))),
% 36.85/23.62      inference(unit_resolution,[status(thm)],[447, 441])).
% 36.85/23.62  tff(449,plain,
% 36.85/23.62      (((~v1_funct_1(k4_nattra_1(A!0, B!1, k11_isocat_2(A!0, B!1, C!2, D!3)))) | (~v1_funct_2(k4_nattra_1(A!0, B!1, k11_isocat_2(A!0, B!1, C!2, D!3)), u1_cat_1(A!0), u2_cat_1(B!1))) | (~m2_relset_1(k4_nattra_1(A!0, B!1, k11_isocat_2(A!0, B!1, C!2, D!3)), u1_cat_1(A!0), u2_cat_1(B!1)))) | v1_funct_1(k4_nattra_1(A!0, B!1, k11_isocat_2(A!0, B!1, C!2, D!3)))),
% 36.85/23.62      inference(tautology,[status(thm)],[])).
% 36.85/23.62  tff(450,plain,
% 36.85/23.62      (v1_funct_1(k4_nattra_1(A!0, B!1, k11_isocat_2(A!0, B!1, C!2, D!3)))),
% 36.85/23.62      inference(unit_resolution,[status(thm)],[449, 441])).
% 36.85/23.62  tff(451,plain,
% 36.85/23.62      (^[A: $i] : refl(((~l1_cat_1(A)) | (~v1_xboole_0(u2_cat_1(A)))) <=> ((~l1_cat_1(A)) | (~v1_xboole_0(u2_cat_1(A)))))),
% 36.85/23.62      inference(bind,[status(th)],[])).
% 36.85/23.62  tff(452,plain,
% 36.85/23.62      (![A: $i] : ((~l1_cat_1(A)) | (~v1_xboole_0(u2_cat_1(A)))) <=> ![A: $i] : ((~l1_cat_1(A)) | (~v1_xboole_0(u2_cat_1(A))))),
% 36.85/23.62      inference(quant_intro,[status(thm)],[451])).
% 36.85/23.62  tff(453,plain,
% 36.85/23.62      (![A: $i] : ((~l1_cat_1(A)) | (~v1_xboole_0(u2_cat_1(A)))) <=> ![A: $i] : ((~l1_cat_1(A)) | (~v1_xboole_0(u2_cat_1(A))))),
% 36.85/23.62      inference(rewrite,[status(thm)],[])).
% 36.85/23.62  tff(454,plain,
% 36.85/23.62      (^[A: $i] : rewrite((l1_cat_1(A) => (~v1_xboole_0(u2_cat_1(A)))) <=> ((~l1_cat_1(A)) | (~v1_xboole_0(u2_cat_1(A)))))),
% 36.85/23.62      inference(bind,[status(th)],[])).
% 36.85/23.62  tff(455,plain,
% 36.85/23.62      (![A: $i] : (l1_cat_1(A) => (~v1_xboole_0(u2_cat_1(A)))) <=> ![A: $i] : ((~l1_cat_1(A)) | (~v1_xboole_0(u2_cat_1(A))))),
% 36.85/23.62      inference(quant_intro,[status(thm)],[454])).
% 36.85/23.62  tff(456,axiom,(![A: $i] : (l1_cat_1(A) => (~v1_xboole_0(u2_cat_1(A))))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','dt_u2_cat_1')).
% 36.85/23.62  tff(457,plain,
% 36.85/23.62      (![A: $i] : ((~l1_cat_1(A)) | (~v1_xboole_0(u2_cat_1(A))))),
% 36.85/23.62      inference(modus_ponens,[status(thm)],[456, 455])).
% 36.85/23.62  tff(458,plain,
% 36.85/23.62      (![A: $i] : ((~l1_cat_1(A)) | (~v1_xboole_0(u2_cat_1(A))))),
% 36.85/23.62      inference(modus_ponens,[status(thm)],[457, 453])).
% 36.85/23.62  tff(459,plain,(
% 36.85/23.62      ![A: $i] : ((~l1_cat_1(A)) | (~v1_xboole_0(u2_cat_1(A))))),
% 36.85/23.62      inference(skolemize,[status(sab)],[458])).
% 36.85/23.62  tff(460,plain,
% 36.85/23.62      (![A: $i] : ((~l1_cat_1(A)) | (~v1_xboole_0(u2_cat_1(A))))),
% 36.85/23.62      inference(modus_ponens,[status(thm)],[459, 452])).
% 36.85/23.62  tff(461,plain,
% 36.85/23.62      (((~![A: $i] : ((~l1_cat_1(A)) | (~v1_xboole_0(u2_cat_1(A))))) | ((~l1_cat_1(B!1)) | (~v1_xboole_0(u2_cat_1(B!1))))) <=> ((~![A: $i] : ((~l1_cat_1(A)) | (~v1_xboole_0(u2_cat_1(A))))) | (~l1_cat_1(B!1)) | (~v1_xboole_0(u2_cat_1(B!1))))),
% 36.85/23.62      inference(rewrite,[status(thm)],[])).
% 36.85/23.62  tff(462,plain,
% 36.85/23.62      ((~![A: $i] : ((~l1_cat_1(A)) | (~v1_xboole_0(u2_cat_1(A))))) | ((~l1_cat_1(B!1)) | (~v1_xboole_0(u2_cat_1(B!1))))),
% 36.85/23.62      inference(quant_inst,[status(thm)],[])).
% 36.85/23.62  tff(463,plain,
% 36.85/23.62      ((~![A: $i] : ((~l1_cat_1(A)) | (~v1_xboole_0(u2_cat_1(A))))) | (~l1_cat_1(B!1)) | (~v1_xboole_0(u2_cat_1(B!1)))),
% 36.85/23.62      inference(modus_ponens,[status(thm)],[462, 461])).
% 36.85/23.62  tff(464,plain,
% 36.85/23.62      (~v1_xboole_0(u2_cat_1(B!1))),
% 36.85/23.62      inference(unit_resolution,[status(thm)],[463, 39, 460])).
% 36.85/23.62  tff(465,plain,
% 36.85/23.62      (^[A: $i] : refl(((~l1_cat_1(A)) | (~v1_xboole_0(u1_cat_1(A)))) <=> ((~l1_cat_1(A)) | (~v1_xboole_0(u1_cat_1(A)))))),
% 36.85/23.62      inference(bind,[status(th)],[])).
% 36.85/23.62  tff(466,plain,
% 36.85/23.62      (![A: $i] : ((~l1_cat_1(A)) | (~v1_xboole_0(u1_cat_1(A)))) <=> ![A: $i] : ((~l1_cat_1(A)) | (~v1_xboole_0(u1_cat_1(A))))),
% 36.85/23.62      inference(quant_intro,[status(thm)],[465])).
% 36.85/23.62  tff(467,plain,
% 36.85/23.62      (![A: $i] : ((~l1_cat_1(A)) | (~v1_xboole_0(u1_cat_1(A)))) <=> ![A: $i] : ((~l1_cat_1(A)) | (~v1_xboole_0(u1_cat_1(A))))),
% 36.85/23.62      inference(rewrite,[status(thm)],[])).
% 36.85/23.62  tff(468,plain,
% 36.85/23.62      (^[A: $i] : rewrite((l1_cat_1(A) => (~v1_xboole_0(u1_cat_1(A)))) <=> ((~l1_cat_1(A)) | (~v1_xboole_0(u1_cat_1(A)))))),
% 36.85/23.62      inference(bind,[status(th)],[])).
% 36.85/23.62  tff(469,plain,
% 36.85/23.62      (![A: $i] : (l1_cat_1(A) => (~v1_xboole_0(u1_cat_1(A)))) <=> ![A: $i] : ((~l1_cat_1(A)) | (~v1_xboole_0(u1_cat_1(A))))),
% 36.85/23.62      inference(quant_intro,[status(thm)],[468])).
% 36.85/23.62  tff(470,axiom,(![A: $i] : (l1_cat_1(A) => (~v1_xboole_0(u1_cat_1(A))))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','dt_u1_cat_1')).
% 36.85/23.62  tff(471,plain,
% 36.85/23.62      (![A: $i] : ((~l1_cat_1(A)) | (~v1_xboole_0(u1_cat_1(A))))),
% 36.85/23.62      inference(modus_ponens,[status(thm)],[470, 469])).
% 36.85/23.62  tff(472,plain,
% 36.85/23.62      (![A: $i] : ((~l1_cat_1(A)) | (~v1_xboole_0(u1_cat_1(A))))),
% 36.85/23.62      inference(modus_ponens,[status(thm)],[471, 467])).
% 36.85/23.62  tff(473,plain,(
% 36.85/23.62      ![A: $i] : ((~l1_cat_1(A)) | (~v1_xboole_0(u1_cat_1(A))))),
% 36.85/23.62      inference(skolemize,[status(sab)],[472])).
% 36.85/23.62  tff(474,plain,
% 36.85/23.62      (![A: $i] : ((~l1_cat_1(A)) | (~v1_xboole_0(u1_cat_1(A))))),
% 36.94/23.62      inference(modus_ponens,[status(thm)],[473, 466])).
% 36.94/23.62  tff(475,plain,
% 36.94/23.62      (((~![A: $i] : ((~l1_cat_1(A)) | (~v1_xboole_0(u1_cat_1(A))))) | ((~l1_cat_1(A!0)) | (~v1_xboole_0(u1_cat_1(A!0))))) <=> ((~![A: $i] : ((~l1_cat_1(A)) | (~v1_xboole_0(u1_cat_1(A))))) | (~l1_cat_1(A!0)) | (~v1_xboole_0(u1_cat_1(A!0))))),
% 36.94/23.62      inference(rewrite,[status(thm)],[])).
% 36.94/23.62  tff(476,plain,
% 36.94/23.62      ((~![A: $i] : ((~l1_cat_1(A)) | (~v1_xboole_0(u1_cat_1(A))))) | ((~l1_cat_1(A!0)) | (~v1_xboole_0(u1_cat_1(A!0))))),
% 36.94/23.62      inference(quant_inst,[status(thm)],[])).
% 36.94/23.62  tff(477,plain,
% 36.94/23.62      ((~![A: $i] : ((~l1_cat_1(A)) | (~v1_xboole_0(u1_cat_1(A))))) | (~l1_cat_1(A!0)) | (~v1_xboole_0(u1_cat_1(A!0)))),
% 36.94/23.62      inference(modus_ponens,[status(thm)],[476, 475])).
% 36.94/23.62  tff(478,plain,
% 36.94/23.62      (~v1_xboole_0(u1_cat_1(A!0))),
% 36.94/23.62      inference(unit_resolution,[status(thm)],[477, 70, 474])).
% 36.94/23.62  tff(479,plain,
% 36.94/23.62      (^[A: $i, B: $i, C: $i, D: $i, E: $i, F: $i] : refl((r4_nattra_1(A, B, C, D, F, E) | v1_xboole_0(D) | v1_xboole_0(C) | v1_xboole_0(B) | v1_xboole_0(A) | (~r4_nattra_1(A, B, C, D, E, F)) | (~v1_funct_1(F)) | (~v1_funct_1(E)) | (~v1_funct_2(E, A, B)) | (~m1_relset_1(E, A, B)) | (~v1_funct_2(F, C, D)) | (~m1_relset_1(F, C, D))) <=> (r4_nattra_1(A, B, C, D, F, E) | v1_xboole_0(D) | v1_xboole_0(C) | v1_xboole_0(B) | v1_xboole_0(A) | (~r4_nattra_1(A, B, C, D, E, F)) | (~v1_funct_1(F)) | (~v1_funct_1(E)) | (~v1_funct_2(E, A, B)) | (~m1_relset_1(E, A, B)) | (~v1_funct_2(F, C, D)) | (~m1_relset_1(F, C, D))))),
% 36.94/23.62      inference(bind,[status(th)],[])).
% 36.94/23.62  tff(480,plain,
% 36.94/23.62      (![A: $i, B: $i, C: $i, D: $i, E: $i, F: $i] : (r4_nattra_1(A, B, C, D, F, E) | v1_xboole_0(D) | v1_xboole_0(C) | v1_xboole_0(B) | v1_xboole_0(A) | (~r4_nattra_1(A, B, C, D, E, F)) | (~v1_funct_1(F)) | (~v1_funct_1(E)) | (~v1_funct_2(E, A, B)) | (~m1_relset_1(E, A, B)) | (~v1_funct_2(F, C, D)) | (~m1_relset_1(F, C, D))) <=> ![A: $i, B: $i, C: $i, D: $i, E: $i, F: $i] : (r4_nattra_1(A, B, C, D, F, E) | v1_xboole_0(D) | v1_xboole_0(C) | v1_xboole_0(B) | v1_xboole_0(A) | (~r4_nattra_1(A, B, C, D, E, F)) | (~v1_funct_1(F)) | (~v1_funct_1(E)) | (~v1_funct_2(E, A, B)) | (~m1_relset_1(E, A, B)) | (~v1_funct_2(F, C, D)) | (~m1_relset_1(F, C, D)))),
% 36.94/23.62      inference(quant_intro,[status(thm)],[479])).
% 36.94/23.62  tff(481,plain,
% 36.94/23.62      (^[A: $i, B: $i, C: $i, D: $i, E: $i, F: $i] : trans(monotonicity(trans(monotonicity(rewrite(((~v1_xboole_0(A)) & (~v1_xboole_0(B)) & (~v1_xboole_0(C)) & (~v1_xboole_0(D)) & v1_funct_1(E) & v1_funct_2(E, A, B) & m1_relset_1(E, A, B) & v1_funct_1(F) & v1_funct_2(F, C, D) & m1_relset_1(F, C, D)) <=> (~(v1_xboole_0(D) | v1_xboole_0(C) | v1_xboole_0(B) | v1_xboole_0(A) | (~v1_funct_1(F)) | (~v1_funct_1(E)) | (~v1_funct_2(E, A, B)) | (~m1_relset_1(E, A, B)) | (~v1_funct_2(F, C, D)) | (~m1_relset_1(F, C, D))))), ((~((~v1_xboole_0(A)) & (~v1_xboole_0(B)) & (~v1_xboole_0(C)) & (~v1_xboole_0(D)) & v1_funct_1(E) & v1_funct_2(E, A, B) & m1_relset_1(E, A, B) & v1_funct_1(F) & v1_funct_2(F, C, D) & m1_relset_1(F, C, D))) <=> (~(~(v1_xboole_0(D) | v1_xboole_0(C) | v1_xboole_0(B) | v1_xboole_0(A) | (~v1_funct_1(F)) | (~v1_funct_1(E)) | (~v1_funct_2(E, A, B)) | (~m1_relset_1(E, A, B)) | (~v1_funct_2(F, C, D)) | (~m1_relset_1(F, C, D))))))), rewrite((~(~(v1_xboole_0(D) | v1_xboole_0(C) | v1_xboole_0(B) | v1_xboole_0(A) | (~v1_funct_1(F)) | (~v1_funct_1(E)) | (~v1_funct_2(E, A, B)) | (~m1_relset_1(E, A, B)) | (~v1_funct_2(F, C, D)) | (~m1_relset_1(F, C, D))))) <=> (v1_xboole_0(D) | v1_xboole_0(C) | v1_xboole_0(B) | v1_xboole_0(A) | (~v1_funct_1(F)) | (~v1_funct_1(E)) | (~v1_funct_2(E, A, B)) | (~m1_relset_1(E, A, B)) | (~v1_funct_2(F, C, D)) | (~m1_relset_1(F, C, D)))), ((~((~v1_xboole_0(A)) & (~v1_xboole_0(B)) & (~v1_xboole_0(C)) & (~v1_xboole_0(D)) & v1_funct_1(E) & v1_funct_2(E, A, B) & m1_relset_1(E, A, B) & v1_funct_1(F) & v1_funct_2(F, C, D) & m1_relset_1(F, C, D))) <=> (v1_xboole_0(D) | v1_xboole_0(C) | v1_xboole_0(B) | v1_xboole_0(A) | (~v1_funct_1(F)) | (~v1_funct_1(E)) | (~v1_funct_2(E, A, B)) | (~m1_relset_1(E, A, B)) | (~v1_funct_2(F, C, D)) | (~m1_relset_1(F, C, D))))), ((r4_nattra_1(A, B, C, D, F, E) | (~r4_nattra_1(A, B, C, D, E, F)) | (~((~v1_xboole_0(A)) & (~v1_xboole_0(B)) & (~v1_xboole_0(C)) & (~v1_xboole_0(D)) & v1_funct_1(E) & v1_funct_2(E, A, B) & m1_relset_1(E, A, B) & v1_funct_1(F) & v1_funct_2(F, C, D) & m1_relset_1(F, C, D)))) <=> (r4_nattra_1(A, B, C, D, F, E) | (~r4_nattra_1(A, B, C, D, E, F)) | (v1_xboole_0(D) | v1_xboole_0(C) | v1_xboole_0(B) | v1_xboole_0(A) | (~v1_funct_1(F)) | (~v1_funct_1(E)) | (~v1_funct_2(E, A, B)) | (~m1_relset_1(E, A, B)) | (~v1_funct_2(F, C, D)) | (~m1_relset_1(F, C, D)))))), rewrite((r4_nattra_1(A, B, C, D, F, E) | (~r4_nattra_1(A, B, C, D, E, F)) | (v1_xboole_0(D) | v1_xboole_0(C) | v1_xboole_0(B) | v1_xboole_0(A) | (~v1_funct_1(F)) | (~v1_funct_1(E)) | (~v1_funct_2(E, A, B)) | (~m1_relset_1(E, A, B)) | (~v1_funct_2(F, C, D)) | (~m1_relset_1(F, C, D)))) <=> (r4_nattra_1(A, B, C, D, F, E) | v1_xboole_0(D) | v1_xboole_0(C) | v1_xboole_0(B) | v1_xboole_0(A) | (~r4_nattra_1(A, B, C, D, E, F)) | (~v1_funct_1(F)) | (~v1_funct_1(E)) | (~v1_funct_2(E, A, B)) | (~m1_relset_1(E, A, B)) | (~v1_funct_2(F, C, D)) | (~m1_relset_1(F, C, D)))), ((r4_nattra_1(A, B, C, D, F, E) | (~r4_nattra_1(A, B, C, D, E, F)) | (~((~v1_xboole_0(A)) & (~v1_xboole_0(B)) & (~v1_xboole_0(C)) & (~v1_xboole_0(D)) & v1_funct_1(E) & v1_funct_2(E, A, B) & m1_relset_1(E, A, B) & v1_funct_1(F) & v1_funct_2(F, C, D) & m1_relset_1(F, C, D)))) <=> (r4_nattra_1(A, B, C, D, F, E) | v1_xboole_0(D) | v1_xboole_0(C) | v1_xboole_0(B) | v1_xboole_0(A) | (~r4_nattra_1(A, B, C, D, E, F)) | (~v1_funct_1(F)) | (~v1_funct_1(E)) | (~v1_funct_2(E, A, B)) | (~m1_relset_1(E, A, B)) | (~v1_funct_2(F, C, D)) | (~m1_relset_1(F, C, D)))))),
% 36.94/23.62      inference(bind,[status(th)],[])).
% 36.94/23.62  tff(482,plain,
% 36.94/23.62      (![A: $i, B: $i, C: $i, D: $i, E: $i, F: $i] : (r4_nattra_1(A, B, C, D, F, E) | (~r4_nattra_1(A, B, C, D, E, F)) | (~((~v1_xboole_0(A)) & (~v1_xboole_0(B)) & (~v1_xboole_0(C)) & (~v1_xboole_0(D)) & v1_funct_1(E) & v1_funct_2(E, A, B) & m1_relset_1(E, A, B) & v1_funct_1(F) & v1_funct_2(F, C, D) & m1_relset_1(F, C, D)))) <=> ![A: $i, B: $i, C: $i, D: $i, E: $i, F: $i] : (r4_nattra_1(A, B, C, D, F, E) | v1_xboole_0(D) | v1_xboole_0(C) | v1_xboole_0(B) | v1_xboole_0(A) | (~r4_nattra_1(A, B, C, D, E, F)) | (~v1_funct_1(F)) | (~v1_funct_1(E)) | (~v1_funct_2(E, A, B)) | (~m1_relset_1(E, A, B)) | (~v1_funct_2(F, C, D)) | (~m1_relset_1(F, C, D)))),
% 36.94/23.62      inference(quant_intro,[status(thm)],[481])).
% 36.94/23.62  tff(483,plain,
% 36.94/23.62      (![A: $i, B: $i, C: $i, D: $i, E: $i, F: $i] : (r4_nattra_1(A, B, C, D, F, E) | (~r4_nattra_1(A, B, C, D, E, F)) | (~((~v1_xboole_0(A)) & (~v1_xboole_0(B)) & (~v1_xboole_0(C)) & (~v1_xboole_0(D)) & v1_funct_1(E) & v1_funct_2(E, A, B) & m1_relset_1(E, A, B) & v1_funct_1(F) & v1_funct_2(F, C, D) & m1_relset_1(F, C, D)))) <=> ![A: $i, B: $i, C: $i, D: $i, E: $i, F: $i] : (r4_nattra_1(A, B, C, D, F, E) | (~r4_nattra_1(A, B, C, D, E, F)) | (~((~v1_xboole_0(A)) & (~v1_xboole_0(B)) & (~v1_xboole_0(C)) & (~v1_xboole_0(D)) & v1_funct_1(E) & v1_funct_2(E, A, B) & m1_relset_1(E, A, B) & v1_funct_1(F) & v1_funct_2(F, C, D) & m1_relset_1(F, C, D))))),
% 36.94/23.62      inference(rewrite,[status(thm)],[])).
% 36.94/23.62  tff(484,plain,
% 36.94/23.62      (^[A: $i, B: $i, C: $i, D: $i, E: $i, F: $i] : trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(rewrite((((~v1_xboole_0(A)) & (~v1_xboole_0(B))) & (~v1_xboole_0(C))) <=> ((~v1_xboole_0(A)) & (~v1_xboole_0(B)) & (~v1_xboole_0(C)))), (((((~v1_xboole_0(A)) & (~v1_xboole_0(B))) & (~v1_xboole_0(C))) & (~v1_xboole_0(D))) <=> (((~v1_xboole_0(A)) & (~v1_xboole_0(B)) & (~v1_xboole_0(C))) & (~v1_xboole_0(D))))), rewrite((((~v1_xboole_0(A)) & (~v1_xboole_0(B)) & (~v1_xboole_0(C))) & (~v1_xboole_0(D))) <=> ((~v1_xboole_0(A)) & (~v1_xboole_0(B)) & (~v1_xboole_0(C)) & (~v1_xboole_0(D)))), (((((~v1_xboole_0(A)) & (~v1_xboole_0(B))) & (~v1_xboole_0(C))) & (~v1_xboole_0(D))) <=> ((~v1_xboole_0(A)) & (~v1_xboole_0(B)) & (~v1_xboole_0(C)) & (~v1_xboole_0(D))))), ((((((~v1_xboole_0(A)) & (~v1_xboole_0(B))) & (~v1_xboole_0(C))) & (~v1_xboole_0(D))) & v1_funct_1(E)) <=> (((~v1_xboole_0(A)) & (~v1_xboole_0(B)) & (~v1_xboole_0(C)) & (~v1_xboole_0(D))) & v1_funct_1(E)))), rewrite((((~v1_xboole_0(A)) & (~v1_xboole_0(B)) & (~v1_xboole_0(C)) & (~v1_xboole_0(D))) & v1_funct_1(E)) <=> ((~v1_xboole_0(A)) & (~v1_xboole_0(B)) & (~v1_xboole_0(C)) & (~v1_xboole_0(D)) & v1_funct_1(E))), ((((((~v1_xboole_0(A)) & (~v1_xboole_0(B))) & (~v1_xboole_0(C))) & (~v1_xboole_0(D))) & v1_funct_1(E)) <=> ((~v1_xboole_0(A)) & (~v1_xboole_0(B)) & (~v1_xboole_0(C)) & (~v1_xboole_0(D)) & v1_funct_1(E)))), (((((((~v1_xboole_0(A)) & (~v1_xboole_0(B))) & (~v1_xboole_0(C))) & (~v1_xboole_0(D))) & v1_funct_1(E)) & v1_funct_2(E, A, B)) <=> (((~v1_xboole_0(A)) & (~v1_xboole_0(B)) & (~v1_xboole_0(C)) & (~v1_xboole_0(D)) & v1_funct_1(E)) & v1_funct_2(E, A, B)))), rewrite((((~v1_xboole_0(A)) & (~v1_xboole_0(B)) & (~v1_xboole_0(C)) & (~v1_xboole_0(D)) & v1_funct_1(E)) & v1_funct_2(E, A, B)) <=> ((~v1_xboole_0(A)) & (~v1_xboole_0(B)) & (~v1_xboole_0(C)) & (~v1_xboole_0(D)) & v1_funct_1(E) & v1_funct_2(E, A, B))), (((((((~v1_xboole_0(A)) & (~v1_xboole_0(B))) & (~v1_xboole_0(C))) & (~v1_xboole_0(D))) & v1_funct_1(E)) & v1_funct_2(E, A, B)) <=> ((~v1_xboole_0(A)) & (~v1_xboole_0(B)) & (~v1_xboole_0(C)) & (~v1_xboole_0(D)) & v1_funct_1(E) & v1_funct_2(E, A, B)))), ((((((((~v1_xboole_0(A)) & (~v1_xboole_0(B))) & (~v1_xboole_0(C))) & (~v1_xboole_0(D))) & v1_funct_1(E)) & v1_funct_2(E, A, B)) & m1_relset_1(E, A, B)) <=> (((~v1_xboole_0(A)) & (~v1_xboole_0(B)) & (~v1_xboole_0(C)) & (~v1_xboole_0(D)) & v1_funct_1(E) & v1_funct_2(E, A, B)) & m1_relset_1(E, A, B)))), rewrite((((~v1_xboole_0(A)) & (~v1_xboole_0(B)) & (~v1_xboole_0(C)) & (~v1_xboole_0(D)) & v1_funct_1(E) & v1_funct_2(E, A, B)) & m1_relset_1(E, A, B)) <=> ((~v1_xboole_0(A)) & (~v1_xboole_0(B)) & (~v1_xboole_0(C)) & (~v1_xboole_0(D)) & v1_funct_1(E) & v1_funct_2(E, A, B) & m1_relset_1(E, A, B))), ((((((((~v1_xboole_0(A)) & (~v1_xboole_0(B))) & (~v1_xboole_0(C))) & (~v1_xboole_0(D))) & v1_funct_1(E)) & v1_funct_2(E, A, B)) & m1_relset_1(E, A, B)) <=> ((~v1_xboole_0(A)) & (~v1_xboole_0(B)) & (~v1_xboole_0(C)) & (~v1_xboole_0(D)) & v1_funct_1(E) & v1_funct_2(E, A, B) & m1_relset_1(E, A, B)))), (((((((((~v1_xboole_0(A)) & (~v1_xboole_0(B))) & (~v1_xboole_0(C))) & (~v1_xboole_0(D))) & v1_funct_1(E)) & v1_funct_2(E, A, B)) & m1_relset_1(E, A, B)) & v1_funct_1(F)) <=> (((~v1_xboole_0(A)) & (~v1_xboole_0(B)) & (~v1_xboole_0(C)) & (~v1_xboole_0(D)) & v1_funct_1(E) & v1_funct_2(E, A, B) & m1_relset_1(E, A, B)) & v1_funct_1(F)))), rewrite((((~v1_xboole_0(A)) & (~v1_xboole_0(B)) & (~v1_xboole_0(C)) & (~v1_xboole_0(D)) & v1_funct_1(E) & v1_funct_2(E, A, B) & m1_relset_1(E, A, B)) & v1_funct_1(F)) <=> ((~v1_xboole_0(A)) & (~v1_xboole_0(B)) & (~v1_xboole_0(C)) & (~v1_xboole_0(D)) & v1_funct_1(E) & v1_funct_2(E, A, B) & m1_relset_1(E, A, B) & v1_funct_1(F))), (((((((((~v1_xboole_0(A)) & (~v1_xboole_0(B))) & (~v1_xboole_0(C))) & (~v1_xboole_0(D))) & v1_funct_1(E)) & v1_funct_2(E, A, B)) & m1_relset_1(E, A, B)) & v1_funct_1(F)) <=> ((~v1_xboole_0(A)) & (~v1_xboole_0(B)) & (~v1_xboole_0(C)) & (~v1_xboole_0(D)) & v1_funct_1(E) & v1_funct_2(E, A, B) & m1_relset_1(E, A, B) & v1_funct_1(F)))), ((((((((((~v1_xboole_0(A)) & (~v1_xboole_0(B))) & (~v1_xboole_0(C))) & (~v1_xboole_0(D))) & v1_funct_1(E)) & v1_funct_2(E, A, B)) & m1_relset_1(E, A, B)) & v1_funct_1(F)) & v1_funct_2(F, C, D)) <=> (((~v1_xboole_0(A)) & (~v1_xboole_0(B)) & (~v1_xboole_0(C)) & (~v1_xboole_0(D)) & v1_funct_1(E) & v1_funct_2(E, A, B) & m1_relset_1(E, A, B) & v1_funct_1(F)) & v1_funct_2(F, C, D)))), rewrite((((~v1_xboole_0(A)) & (~v1_xboole_0(B)) & (~v1_xboole_0(C)) & (~v1_xboole_0(D)) & v1_funct_1(E) & v1_funct_2(E, A, B) & m1_relset_1(E, A, B) & v1_funct_1(F)) & v1_funct_2(F, C, D)) <=> ((~v1_xboole_0(A)) & (~v1_xboole_0(B)) & (~v1_xboole_0(C)) & (~v1_xboole_0(D)) & v1_funct_1(E) & v1_funct_2(E, A, B) & m1_relset_1(E, A, B) & v1_funct_1(F) & v1_funct_2(F, C, D))), ((((((((((~v1_xboole_0(A)) & (~v1_xboole_0(B))) & (~v1_xboole_0(C))) & (~v1_xboole_0(D))) & v1_funct_1(E)) & v1_funct_2(E, A, B)) & m1_relset_1(E, A, B)) & v1_funct_1(F)) & v1_funct_2(F, C, D)) <=> ((~v1_xboole_0(A)) & (~v1_xboole_0(B)) & (~v1_xboole_0(C)) & (~v1_xboole_0(D)) & v1_funct_1(E) & v1_funct_2(E, A, B) & m1_relset_1(E, A, B) & v1_funct_1(F) & v1_funct_2(F, C, D)))), (((((((((((~v1_xboole_0(A)) & (~v1_xboole_0(B))) & (~v1_xboole_0(C))) & (~v1_xboole_0(D))) & v1_funct_1(E)) & v1_funct_2(E, A, B)) & m1_relset_1(E, A, B)) & v1_funct_1(F)) & v1_funct_2(F, C, D)) & m1_relset_1(F, C, D)) <=> (((~v1_xboole_0(A)) & (~v1_xboole_0(B)) & (~v1_xboole_0(C)) & (~v1_xboole_0(D)) & v1_funct_1(E) & v1_funct_2(E, A, B) & m1_relset_1(E, A, B) & v1_funct_1(F) & v1_funct_2(F, C, D)) & m1_relset_1(F, C, D)))), rewrite((((~v1_xboole_0(A)) & (~v1_xboole_0(B)) & (~v1_xboole_0(C)) & (~v1_xboole_0(D)) & v1_funct_1(E) & v1_funct_2(E, A, B) & m1_relset_1(E, A, B) & v1_funct_1(F) & v1_funct_2(F, C, D)) & m1_relset_1(F, C, D)) <=> ((~v1_xboole_0(A)) & (~v1_xboole_0(B)) & (~v1_xboole_0(C)) & (~v1_xboole_0(D)) & v1_funct_1(E) & v1_funct_2(E, A, B) & m1_relset_1(E, A, B) & v1_funct_1(F) & v1_funct_2(F, C, D) & m1_relset_1(F, C, D))), (((((((((((~v1_xboole_0(A)) & (~v1_xboole_0(B))) & (~v1_xboole_0(C))) & (~v1_xboole_0(D))) & v1_funct_1(E)) & v1_funct_2(E, A, B)) & m1_relset_1(E, A, B)) & v1_funct_1(F)) & v1_funct_2(F, C, D)) & m1_relset_1(F, C, D)) <=> ((~v1_xboole_0(A)) & (~v1_xboole_0(B)) & (~v1_xboole_0(C)) & (~v1_xboole_0(D)) & v1_funct_1(E) & v1_funct_2(E, A, B) & m1_relset_1(E, A, B) & v1_funct_1(F) & v1_funct_2(F, C, D) & m1_relset_1(F, C, D)))), rewrite((r4_nattra_1(A, B, C, D, E, F) => r4_nattra_1(A, B, C, D, F, E)) <=> ((~r4_nattra_1(A, B, C, D, E, F)) | r4_nattra_1(A, B, C, D, F, E))), ((((((((((((~v1_xboole_0(A)) & (~v1_xboole_0(B))) & (~v1_xboole_0(C))) & (~v1_xboole_0(D))) & v1_funct_1(E)) & v1_funct_2(E, A, B)) & m1_relset_1(E, A, B)) & v1_funct_1(F)) & v1_funct_2(F, C, D)) & m1_relset_1(F, C, D)) => (r4_nattra_1(A, B, C, D, E, F) => r4_nattra_1(A, B, C, D, F, E))) <=> (((~v1_xboole_0(A)) & (~v1_xboole_0(B)) & (~v1_xboole_0(C)) & (~v1_xboole_0(D)) & v1_funct_1(E) & v1_funct_2(E, A, B) & m1_relset_1(E, A, B) & v1_funct_1(F) & v1_funct_2(F, C, D) & m1_relset_1(F, C, D)) => ((~r4_nattra_1(A, B, C, D, E, F)) | r4_nattra_1(A, B, C, D, F, E))))), rewrite((((~v1_xboole_0(A)) & (~v1_xboole_0(B)) & (~v1_xboole_0(C)) & (~v1_xboole_0(D)) & v1_funct_1(E) & v1_funct_2(E, A, B) & m1_relset_1(E, A, B) & v1_funct_1(F) & v1_funct_2(F, C, D) & m1_relset_1(F, C, D)) => ((~r4_nattra_1(A, B, C, D, E, F)) | r4_nattra_1(A, B, C, D, F, E))) <=> (r4_nattra_1(A, B, C, D, F, E) | (~r4_nattra_1(A, B, C, D, E, F)) | (~((~v1_xboole_0(A)) & (~v1_xboole_0(B)) & (~v1_xboole_0(C)) & (~v1_xboole_0(D)) & v1_funct_1(E) & v1_funct_2(E, A, B) & m1_relset_1(E, A, B) & v1_funct_1(F) & v1_funct_2(F, C, D) & m1_relset_1(F, C, D))))), ((((((((((((~v1_xboole_0(A)) & (~v1_xboole_0(B))) & (~v1_xboole_0(C))) & (~v1_xboole_0(D))) & v1_funct_1(E)) & v1_funct_2(E, A, B)) & m1_relset_1(E, A, B)) & v1_funct_1(F)) & v1_funct_2(F, C, D)) & m1_relset_1(F, C, D)) => (r4_nattra_1(A, B, C, D, E, F) => r4_nattra_1(A, B, C, D, F, E))) <=> (r4_nattra_1(A, B, C, D, F, E) | (~r4_nattra_1(A, B, C, D, E, F)) | (~((~v1_xboole_0(A)) & (~v1_xboole_0(B)) & (~v1_xboole_0(C)) & (~v1_xboole_0(D)) & v1_funct_1(E) & v1_funct_2(E, A, B) & m1_relset_1(E, A, B) & v1_funct_1(F) & v1_funct_2(F, C, D) & m1_relset_1(F, C, D))))))),
% 36.94/23.63      inference(bind,[status(th)],[])).
% 36.94/23.63  tff(485,plain,
% 36.94/23.63      (![A: $i, B: $i, C: $i, D: $i, E: $i, F: $i] : (((((((((((~v1_xboole_0(A)) & (~v1_xboole_0(B))) & (~v1_xboole_0(C))) & (~v1_xboole_0(D))) & v1_funct_1(E)) & v1_funct_2(E, A, B)) & m1_relset_1(E, A, B)) & v1_funct_1(F)) & v1_funct_2(F, C, D)) & m1_relset_1(F, C, D)) => (r4_nattra_1(A, B, C, D, E, F) => r4_nattra_1(A, B, C, D, F, E))) <=> ![A: $i, B: $i, C: $i, D: $i, E: $i, F: $i] : (r4_nattra_1(A, B, C, D, F, E) | (~r4_nattra_1(A, B, C, D, E, F)) | (~((~v1_xboole_0(A)) & (~v1_xboole_0(B)) & (~v1_xboole_0(C)) & (~v1_xboole_0(D)) & v1_funct_1(E) & v1_funct_2(E, A, B) & m1_relset_1(E, A, B) & v1_funct_1(F) & v1_funct_2(F, C, D) & m1_relset_1(F, C, D))))),
% 36.94/23.63      inference(quant_intro,[status(thm)],[484])).
% 36.94/23.63  tff(486,axiom,(![A: $i, B: $i, C: $i, D: $i, E: $i, F: $i] : (((((((((((~v1_xboole_0(A)) & (~v1_xboole_0(B))) & (~v1_xboole_0(C))) & (~v1_xboole_0(D))) & v1_funct_1(E)) & v1_funct_2(E, A, B)) & m1_relset_1(E, A, B)) & v1_funct_1(F)) & v1_funct_2(F, C, D)) & m1_relset_1(F, C, D)) => (r4_nattra_1(A, B, C, D, E, F) => r4_nattra_1(A, B, C, D, F, E)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','symmetry_r4_nattra_1')).
% 36.94/23.63  tff(487,plain,
% 36.94/23.63      (![A: $i, B: $i, C: $i, D: $i, E: $i, F: $i] : (r4_nattra_1(A, B, C, D, F, E) | (~r4_nattra_1(A, B, C, D, E, F)) | (~((~v1_xboole_0(A)) & (~v1_xboole_0(B)) & (~v1_xboole_0(C)) & (~v1_xboole_0(D)) & v1_funct_1(E) & v1_funct_2(E, A, B) & m1_relset_1(E, A, B) & v1_funct_1(F) & v1_funct_2(F, C, D) & m1_relset_1(F, C, D))))),
% 36.94/23.63      inference(modus_ponens,[status(thm)],[486, 485])).
% 36.94/23.63  tff(488,plain,
% 36.94/23.63      (![A: $i, B: $i, C: $i, D: $i, E: $i, F: $i] : (r4_nattra_1(A, B, C, D, F, E) | (~r4_nattra_1(A, B, C, D, E, F)) | (~((~v1_xboole_0(A)) & (~v1_xboole_0(B)) & (~v1_xboole_0(C)) & (~v1_xboole_0(D)) & v1_funct_1(E) & v1_funct_2(E, A, B) & m1_relset_1(E, A, B) & v1_funct_1(F) & v1_funct_2(F, C, D) & m1_relset_1(F, C, D))))),
% 36.94/23.63      inference(modus_ponens,[status(thm)],[487, 483])).
% 36.94/23.63  tff(489,plain,(
% 36.94/23.63      ![A: $i, B: $i, C: $i, D: $i, E: $i, F: $i] : (r4_nattra_1(A, B, C, D, F, E) | (~r4_nattra_1(A, B, C, D, E, F)) | (~((~v1_xboole_0(A)) & (~v1_xboole_0(B)) & (~v1_xboole_0(C)) & (~v1_xboole_0(D)) & v1_funct_1(E) & v1_funct_2(E, A, B) & m1_relset_1(E, A, B) & v1_funct_1(F) & v1_funct_2(F, C, D) & m1_relset_1(F, C, D))))),
% 36.94/23.63      inference(skolemize,[status(sab)],[488])).
% 36.94/23.63  tff(490,plain,
% 36.94/23.63      (![A: $i, B: $i, C: $i, D: $i, E: $i, F: $i] : (r4_nattra_1(A, B, C, D, F, E) | v1_xboole_0(D) | v1_xboole_0(C) | v1_xboole_0(B) | v1_xboole_0(A) | (~r4_nattra_1(A, B, C, D, E, F)) | (~v1_funct_1(F)) | (~v1_funct_1(E)) | (~v1_funct_2(E, A, B)) | (~m1_relset_1(E, A, B)) | (~v1_funct_2(F, C, D)) | (~m1_relset_1(F, C, D)))),
% 36.94/23.63      inference(modus_ponens,[status(thm)],[489, 482])).
% 36.94/23.63  tff(491,plain,
% 36.94/23.63      (![A: $i, B: $i, C: $i, D: $i, E: $i, F: $i] : (r4_nattra_1(A, B, C, D, F, E) | v1_xboole_0(D) | v1_xboole_0(C) | v1_xboole_0(B) | v1_xboole_0(A) | (~r4_nattra_1(A, B, C, D, E, F)) | (~v1_funct_1(F)) | (~v1_funct_1(E)) | (~v1_funct_2(E, A, B)) | (~m1_relset_1(E, A, B)) | (~v1_funct_2(F, C, D)) | (~m1_relset_1(F, C, D)))),
% 36.94/23.63      inference(modus_ponens,[status(thm)],[490, 480])).
% 36.94/23.63  tff(492,plain,
% 36.94/23.63      (((~![A: $i, B: $i, C: $i, D: $i, E: $i, F: $i] : (r4_nattra_1(A, B, C, D, F, E) | v1_xboole_0(D) | v1_xboole_0(C) | v1_xboole_0(B) | v1_xboole_0(A) | (~r4_nattra_1(A, B, C, D, E, F)) | (~v1_funct_1(F)) | (~v1_funct_1(E)) | (~v1_funct_2(E, A, B)) | (~m1_relset_1(E, A, B)) | (~v1_funct_2(F, C, D)) | (~m1_relset_1(F, C, D)))) | (v1_xboole_0(u1_cat_1(A!0)) | v1_xboole_0(u2_cat_1(B!1)) | (~v1_funct_1(k4_nattra_1(A!0, B!1, k11_isocat_2(A!0, B!1, C!2, D!3)))) | (~v1_funct_2(k4_nattra_1(A!0, B!1, k11_isocat_2(A!0, B!1, C!2, D!3)), u1_cat_1(A!0), u2_cat_1(B!1))) | (~m1_relset_1(k4_nattra_1(A!0, B!1, k11_isocat_2(A!0, B!1, C!2, D!3)), u1_cat_1(A!0), u2_cat_1(B!1))) | (~v1_funct_1(k6_isocat_1(A!0, k11_cat_2(B!1, C!2), B!1, D!3, D!3, k7_nattra_1(A!0, k11_cat_2(B!1, C!2), D!3), k16_cat_2(B!1, C!2)))) | (~v1_funct_2(k6_isocat_1(A!0, k11_cat_2(B!1, C!2), B!1, D!3, D!3, k7_nattra_1(A!0, k11_cat_2(B!1, C!2), D!3), k16_cat_2(B!1, C!2)), u1_cat_1(A!0), u2_cat_1(B!1))) | (~m1_relset_1(k6_isocat_1(A!0, k11_cat_2(B!1, C!2), B!1, D!3, D!3, k7_nattra_1(A!0, k11_cat_2(B!1, C!2), D!3), k16_cat_2(B!1, C!2)), u1_cat_1(A!0), u2_cat_1(B!1))) | (~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, D!3, k7_nattra_1(A!0, k11_cat_2(B!1, C!2), D!3), k16_cat_2(B!1, C!2)), k4_nattra_1(A!0, B!1, k11_isocat_2(A!0, B!1, C!2, D!3)))) | r4_nattra_1(u1_cat_1(A!0), u2_cat_1(B!1), u1_cat_1(A!0), u2_cat_1(B!1), k4_nattra_1(A!0, B!1, k11_isocat_2(A!0, B!1, C!2, D!3)), k6_isocat_1(A!0, k11_cat_2(B!1, C!2), B!1, D!3, D!3, k7_nattra_1(A!0, k11_cat_2(B!1, C!2), D!3), k16_cat_2(B!1, C!2))))) <=> ((~![A: $i, B: $i, C: $i, D: $i, E: $i, F: $i] : (r4_nattra_1(A, B, C, D, F, E) | v1_xboole_0(D) | v1_xboole_0(C) | v1_xboole_0(B) | v1_xboole_0(A) | (~r4_nattra_1(A, B, C, D, E, F)) | (~v1_funct_1(F)) | (~v1_funct_1(E)) | (~v1_funct_2(E, A, B)) | (~m1_relset_1(E, A, B)) | (~v1_funct_2(F, C, D)) | (~m1_relset_1(F, C, D)))) | v1_xboole_0(u1_cat_1(A!0)) | v1_xboole_0(u2_cat_1(B!1)) | (~v1_funct_1(k4_nattra_1(A!0, B!1, k11_isocat_2(A!0, B!1, C!2, D!3)))) | (~v1_funct_2(k4_nattra_1(A!0, B!1, k11_isocat_2(A!0, B!1, C!2, D!3)), u1_cat_1(A!0), u2_cat_1(B!1))) | (~m1_relset_1(k4_nattra_1(A!0, B!1, k11_isocat_2(A!0, B!1, C!2, D!3)), u1_cat_1(A!0), u2_cat_1(B!1))) | (~v1_funct_1(k6_isocat_1(A!0, k11_cat_2(B!1, C!2), B!1, D!3, D!3, k7_nattra_1(A!0, k11_cat_2(B!1, C!2), D!3), k16_cat_2(B!1, C!2)))) | (~v1_funct_2(k6_isocat_1(A!0, k11_cat_2(B!1, C!2), B!1, D!3, D!3, k7_nattra_1(A!0, k11_cat_2(B!1, C!2), D!3), k16_cat_2(B!1, C!2)), u1_cat_1(A!0), u2_cat_1(B!1))) | (~m1_relset_1(k6_isocat_1(A!0, k11_cat_2(B!1, C!2), B!1, D!3, D!3, k7_nattra_1(A!0, k11_cat_2(B!1, C!2), D!3), k16_cat_2(B!1, C!2)), u1_cat_1(A!0), u2_cat_1(B!1))) | (~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, D!3, k7_nattra_1(A!0, k11_cat_2(B!1, C!2), D!3), k16_cat_2(B!1, C!2)), k4_nattra_1(A!0, B!1, k11_isocat_2(A!0, B!1, C!2, D!3)))) | r4_nattra_1(u1_cat_1(A!0), u2_cat_1(B!1), u1_cat_1(A!0), u2_cat_1(B!1), k4_nattra_1(A!0, B!1, k11_isocat_2(A!0, B!1, C!2, D!3)), k6_isocat_1(A!0, k11_cat_2(B!1, C!2), B!1, D!3, D!3, k7_nattra_1(A!0, k11_cat_2(B!1, C!2), D!3), k16_cat_2(B!1, C!2))))),
% 36.94/23.63      inference(rewrite,[status(thm)],[])).
% 36.94/23.63  tff(493,plain,
% 36.94/23.63      ((r4_nattra_1(u1_cat_1(A!0), u2_cat_1(B!1), u1_cat_1(A!0), u2_cat_1(B!1), k4_nattra_1(A!0, B!1, k11_isocat_2(A!0, B!1, C!2, D!3)), k6_isocat_1(A!0, k11_cat_2(B!1, C!2), B!1, D!3, D!3, k7_nattra_1(A!0, k11_cat_2(B!1, C!2), D!3), k16_cat_2(B!1, C!2))) | v1_xboole_0(u2_cat_1(B!1)) | v1_xboole_0(u1_cat_1(A!0)) | v1_xboole_0(u2_cat_1(B!1)) | v1_xboole_0(u1_cat_1(A!0)) | (~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, D!3, k7_nattra_1(A!0, k11_cat_2(B!1, C!2), D!3), k16_cat_2(B!1, C!2)), k4_nattra_1(A!0, B!1, k11_isocat_2(A!0, B!1, C!2, D!3)))) | (~v1_funct_1(k4_nattra_1(A!0, B!1, k11_isocat_2(A!0, B!1, C!2, D!3)))) | (~v1_funct_1(k6_isocat_1(A!0, k11_cat_2(B!1, C!2), B!1, D!3, D!3, k7_nattra_1(A!0, k11_cat_2(B!1, C!2), D!3), k16_cat_2(B!1, C!2)))) | (~v1_funct_2(k6_isocat_1(A!0, k11_cat_2(B!1, C!2), B!1, D!3, D!3, k7_nattra_1(A!0, k11_cat_2(B!1, C!2), D!3), k16_cat_2(B!1, C!2)), u1_cat_1(A!0), u2_cat_1(B!1))) | (~m1_relset_1(k6_isocat_1(A!0, k11_cat_2(B!1, C!2), B!1, D!3, D!3, k7_nattra_1(A!0, k11_cat_2(B!1, C!2), D!3), k16_cat_2(B!1, C!2)), u1_cat_1(A!0), u2_cat_1(B!1))) | (~v1_funct_2(k4_nattra_1(A!0, B!1, k11_isocat_2(A!0, B!1, C!2, D!3)), u1_cat_1(A!0), u2_cat_1(B!1))) | (~m1_relset_1(k4_nattra_1(A!0, B!1, k11_isocat_2(A!0, B!1, C!2, D!3)), u1_cat_1(A!0), u2_cat_1(B!1)))) <=> (v1_xboole_0(u1_cat_1(A!0)) | v1_xboole_0(u2_cat_1(B!1)) | (~v1_funct_1(k4_nattra_1(A!0, B!1, k11_isocat_2(A!0, B!1, C!2, D!3)))) | (~v1_funct_2(k4_nattra_1(A!0, B!1, k11_isocat_2(A!0, B!1, C!2, D!3)), u1_cat_1(A!0), u2_cat_1(B!1))) | (~m1_relset_1(k4_nattra_1(A!0, B!1, k11_isocat_2(A!0, B!1, C!2, D!3)), u1_cat_1(A!0), u2_cat_1(B!1))) | (~v1_funct_1(k6_isocat_1(A!0, k11_cat_2(B!1, C!2), B!1, D!3, D!3, k7_nattra_1(A!0, k11_cat_2(B!1, C!2), D!3), k16_cat_2(B!1, C!2)))) | (~v1_funct_2(k6_isocat_1(A!0, k11_cat_2(B!1, C!2), B!1, D!3, D!3, k7_nattra_1(A!0, k11_cat_2(B!1, C!2), D!3), k16_cat_2(B!1, C!2)), u1_cat_1(A!0), u2_cat_1(B!1))) | (~m1_relset_1(k6_isocat_1(A!0, k11_cat_2(B!1, C!2), B!1, D!3, D!3, k7_nattra_1(A!0, k11_cat_2(B!1, C!2), D!3), k16_cat_2(B!1, C!2)), u1_cat_1(A!0), u2_cat_1(B!1))) | (~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, D!3, k7_nattra_1(A!0, k11_cat_2(B!1, C!2), D!3), k16_cat_2(B!1, C!2)), k4_nattra_1(A!0, B!1, k11_isocat_2(A!0, B!1, C!2, D!3)))) | r4_nattra_1(u1_cat_1(A!0), u2_cat_1(B!1), u1_cat_1(A!0), u2_cat_1(B!1), k4_nattra_1(A!0, B!1, k11_isocat_2(A!0, B!1, C!2, D!3)), k6_isocat_1(A!0, k11_cat_2(B!1, C!2), B!1, D!3, D!3, k7_nattra_1(A!0, k11_cat_2(B!1, C!2), D!3), k16_cat_2(B!1, C!2))))),
% 36.94/23.64      inference(rewrite,[status(thm)],[])).
% 36.94/23.64  tff(494,plain,
% 36.94/23.64      (((~![A: $i, B: $i, C: $i, D: $i, E: $i, F: $i] : (r4_nattra_1(A, B, C, D, F, E) | v1_xboole_0(D) | v1_xboole_0(C) | v1_xboole_0(B) | v1_xboole_0(A) | (~r4_nattra_1(A, B, C, D, E, F)) | (~v1_funct_1(F)) | (~v1_funct_1(E)) | (~v1_funct_2(E, A, B)) | (~m1_relset_1(E, A, B)) | (~v1_funct_2(F, C, D)) | (~m1_relset_1(F, C, D)))) | (r4_nattra_1(u1_cat_1(A!0), u2_cat_1(B!1), u1_cat_1(A!0), u2_cat_1(B!1), k4_nattra_1(A!0, B!1, k11_isocat_2(A!0, B!1, C!2, D!3)), k6_isocat_1(A!0, k11_cat_2(B!1, C!2), B!1, D!3, D!3, k7_nattra_1(A!0, k11_cat_2(B!1, C!2), D!3), k16_cat_2(B!1, C!2))) | v1_xboole_0(u2_cat_1(B!1)) | v1_xboole_0(u1_cat_1(A!0)) | v1_xboole_0(u2_cat_1(B!1)) | v1_xboole_0(u1_cat_1(A!0)) | (~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, D!3, k7_nattra_1(A!0, k11_cat_2(B!1, C!2), D!3), k16_cat_2(B!1, C!2)), k4_nattra_1(A!0, B!1, k11_isocat_2(A!0, B!1, C!2, D!3)))) | (~v1_funct_1(k4_nattra_1(A!0, B!1, k11_isocat_2(A!0, B!1, C!2, D!3)))) | (~v1_funct_1(k6_isocat_1(A!0, k11_cat_2(B!1, C!2), B!1, D!3, D!3, k7_nattra_1(A!0, k11_cat_2(B!1, C!2), D!3), k16_cat_2(B!1, C!2)))) | (~v1_funct_2(k6_isocat_1(A!0, k11_cat_2(B!1, C!2), B!1, D!3, D!3, k7_nattra_1(A!0, k11_cat_2(B!1, C!2), D!3), k16_cat_2(B!1, C!2)), u1_cat_1(A!0), u2_cat_1(B!1))) | (~m1_relset_1(k6_isocat_1(A!0, k11_cat_2(B!1, C!2), B!1, D!3, D!3, k7_nattra_1(A!0, k11_cat_2(B!1, C!2), D!3), k16_cat_2(B!1, C!2)), u1_cat_1(A!0), u2_cat_1(B!1))) | (~v1_funct_2(k4_nattra_1(A!0, B!1, k11_isocat_2(A!0, B!1, C!2, D!3)), u1_cat_1(A!0), u2_cat_1(B!1))) | (~m1_relset_1(k4_nattra_1(A!0, B!1, k11_isocat_2(A!0, B!1, C!2, D!3)), u1_cat_1(A!0), u2_cat_1(B!1))))) <=> ((~![A: $i, B: $i, C: $i, D: $i, E: $i, F: $i] : (r4_nattra_1(A, B, C, D, F, E) | v1_xboole_0(D) | v1_xboole_0(C) | v1_xboole_0(B) | v1_xboole_0(A) | (~r4_nattra_1(A, B, C, D, E, F)) | (~v1_funct_1(F)) | (~v1_funct_1(E)) | (~v1_funct_2(E, A, B)) | (~m1_relset_1(E, A, B)) | (~v1_funct_2(F, C, D)) | (~m1_relset_1(F, C, D)))) | (v1_xboole_0(u1_cat_1(A!0)) | v1_xboole_0(u2_cat_1(B!1)) | (~v1_funct_1(k4_nattra_1(A!0, B!1, k11_isocat_2(A!0, B!1, C!2, D!3)))) | (~v1_funct_2(k4_nattra_1(A!0, B!1, k11_isocat_2(A!0, B!1, C!2, D!3)), u1_cat_1(A!0), u2_cat_1(B!1))) | (~m1_relset_1(k4_nattra_1(A!0, B!1, k11_isocat_2(A!0, B!1, C!2, D!3)), u1_cat_1(A!0), u2_cat_1(B!1))) | (~v1_funct_1(k6_isocat_1(A!0, k11_cat_2(B!1, C!2), B!1, D!3, D!3, k7_nattra_1(A!0, k11_cat_2(B!1, C!2), D!3), k16_cat_2(B!1, C!2)))) | (~v1_funct_2(k6_isocat_1(A!0, k11_cat_2(B!1, C!2), B!1, D!3, D!3, k7_nattra_1(A!0, k11_cat_2(B!1, C!2), D!3), k16_cat_2(B!1, C!2)), u1_cat_1(A!0), u2_cat_1(B!1))) | (~m1_relset_1(k6_isocat_1(A!0, k11_cat_2(B!1, C!2), B!1, D!3, D!3, k7_nattra_1(A!0, k11_cat_2(B!1, C!2), D!3), k16_cat_2(B!1, C!2)), u1_cat_1(A!0), u2_cat_1(B!1))) | (~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, D!3, k7_nattra_1(A!0, k11_cat_2(B!1, C!2), D!3), k16_cat_2(B!1, C!2)), k4_nattra_1(A!0, B!1, k11_isocat_2(A!0, B!1, C!2, D!3)))) | r4_nattra_1(u1_cat_1(A!0), u2_cat_1(B!1), u1_cat_1(A!0), u2_cat_1(B!1), k4_nattra_1(A!0, B!1, k11_isocat_2(A!0, B!1, C!2, D!3)), k6_isocat_1(A!0, k11_cat_2(B!1, C!2), B!1, D!3, D!3, k7_nattra_1(A!0, k11_cat_2(B!1, C!2), D!3), k16_cat_2(B!1, C!2)))))),
% 36.94/23.64      inference(monotonicity,[status(thm)],[493])).
% 36.94/23.64  tff(495,plain,
% 36.94/23.64      (((~![A: $i, B: $i, C: $i, D: $i, E: $i, F: $i] : (r4_nattra_1(A, B, C, D, F, E) | v1_xboole_0(D) | v1_xboole_0(C) | v1_xboole_0(B) | v1_xboole_0(A) | (~r4_nattra_1(A, B, C, D, E, F)) | (~v1_funct_1(F)) | (~v1_funct_1(E)) | (~v1_funct_2(E, A, B)) | (~m1_relset_1(E, A, B)) | (~v1_funct_2(F, C, D)) | (~m1_relset_1(F, C, D)))) | (r4_nattra_1(u1_cat_1(A!0), u2_cat_1(B!1), u1_cat_1(A!0), u2_cat_1(B!1), k4_nattra_1(A!0, B!1, k11_isocat_2(A!0, B!1, C!2, D!3)), k6_isocat_1(A!0, k11_cat_2(B!1, C!2), B!1, D!3, D!3, k7_nattra_1(A!0, k11_cat_2(B!1, C!2), D!3), k16_cat_2(B!1, C!2))) | v1_xboole_0(u2_cat_1(B!1)) | v1_xboole_0(u1_cat_1(A!0)) | v1_xboole_0(u2_cat_1(B!1)) | v1_xboole_0(u1_cat_1(A!0)) | (~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, D!3, k7_nattra_1(A!0, k11_cat_2(B!1, C!2), D!3), k16_cat_2(B!1, C!2)), k4_nattra_1(A!0, B!1, k11_isocat_2(A!0, B!1, C!2, D!3)))) | (~v1_funct_1(k4_nattra_1(A!0, B!1, k11_isocat_2(A!0, B!1, C!2, D!3)))) | (~v1_funct_1(k6_isocat_1(A!0, k11_cat_2(B!1, C!2), B!1, D!3, D!3, k7_nattra_1(A!0, k11_cat_2(B!1, C!2), D!3), k16_cat_2(B!1, C!2)))) | (~v1_funct_2(k6_isocat_1(A!0, k11_cat_2(B!1, C!2), B!1, D!3, D!3, k7_nattra_1(A!0, k11_cat_2(B!1, C!2), D!3), k16_cat_2(B!1, C!2)), u1_cat_1(A!0), u2_cat_1(B!1))) | (~m1_relset_1(k6_isocat_1(A!0, k11_cat_2(B!1, C!2), B!1, D!3, D!3, k7_nattra_1(A!0, k11_cat_2(B!1, C!2), D!3), k16_cat_2(B!1, C!2)), u1_cat_1(A!0), u2_cat_1(B!1))) | (~v1_funct_2(k4_nattra_1(A!0, B!1, k11_isocat_2(A!0, B!1, C!2, D!3)), u1_cat_1(A!0), u2_cat_1(B!1))) | (~m1_relset_1(k4_nattra_1(A!0, B!1, k11_isocat_2(A!0, B!1, C!2, D!3)), u1_cat_1(A!0), u2_cat_1(B!1))))) <=> ((~![A: $i, B: $i, C: $i, D: $i, E: $i, F: $i] : (r4_nattra_1(A, B, C, D, F, E) | v1_xboole_0(D) | v1_xboole_0(C) | v1_xboole_0(B) | v1_xboole_0(A) | (~r4_nattra_1(A, B, C, D, E, F)) | (~v1_funct_1(F)) | (~v1_funct_1(E)) | (~v1_funct_2(E, A, B)) | (~m1_relset_1(E, A, B)) | (~v1_funct_2(F, C, D)) | (~m1_relset_1(F, C, D)))) | v1_xboole_0(u1_cat_1(A!0)) | v1_xboole_0(u2_cat_1(B!1)) | (~v1_funct_1(k4_nattra_1(A!0, B!1, k11_isocat_2(A!0, B!1, C!2, D!3)))) | (~v1_funct_2(k4_nattra_1(A!0, B!1, k11_isocat_2(A!0, B!1, C!2, D!3)), u1_cat_1(A!0), u2_cat_1(B!1))) | (~m1_relset_1(k4_nattra_1(A!0, B!1, k11_isocat_2(A!0, B!1, C!2, D!3)), u1_cat_1(A!0), u2_cat_1(B!1))) | (~v1_funct_1(k6_isocat_1(A!0, k11_cat_2(B!1, C!2), B!1, D!3, D!3, k7_nattra_1(A!0, k11_cat_2(B!1, C!2), D!3), k16_cat_2(B!1, C!2)))) | (~v1_funct_2(k6_isocat_1(A!0, k11_cat_2(B!1, C!2), B!1, D!3, D!3, k7_nattra_1(A!0, k11_cat_2(B!1, C!2), D!3), k16_cat_2(B!1, C!2)), u1_cat_1(A!0), u2_cat_1(B!1))) | (~m1_relset_1(k6_isocat_1(A!0, k11_cat_2(B!1, C!2), B!1, D!3, D!3, k7_nattra_1(A!0, k11_cat_2(B!1, C!2), D!3), k16_cat_2(B!1, C!2)), u1_cat_1(A!0), u2_cat_1(B!1))) | (~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, D!3, k7_nattra_1(A!0, k11_cat_2(B!1, C!2), D!3), k16_cat_2(B!1, C!2)), k4_nattra_1(A!0, B!1, k11_isocat_2(A!0, B!1, C!2, D!3)))) | r4_nattra_1(u1_cat_1(A!0), u2_cat_1(B!1), u1_cat_1(A!0), u2_cat_1(B!1), k4_nattra_1(A!0, B!1, k11_isocat_2(A!0, B!1, C!2, D!3)), k6_isocat_1(A!0, k11_cat_2(B!1, C!2), B!1, D!3, D!3, k7_nattra_1(A!0, k11_cat_2(B!1, C!2), D!3), k16_cat_2(B!1, C!2))))),
% 36.94/23.65      inference(transitivity,[status(thm)],[494, 492])).
% 36.94/23.65  tff(496,plain,
% 36.94/23.65      ((~![A: $i, B: $i, C: $i, D: $i, E: $i, F: $i] : (r4_nattra_1(A, B, C, D, F, E) | v1_xboole_0(D) | v1_xboole_0(C) | v1_xboole_0(B) | v1_xboole_0(A) | (~r4_nattra_1(A, B, C, D, E, F)) | (~v1_funct_1(F)) | (~v1_funct_1(E)) | (~v1_funct_2(E, A, B)) | (~m1_relset_1(E, A, B)) | (~v1_funct_2(F, C, D)) | (~m1_relset_1(F, C, D)))) | (r4_nattra_1(u1_cat_1(A!0), u2_cat_1(B!1), u1_cat_1(A!0), u2_cat_1(B!1), k4_nattra_1(A!0, B!1, k11_isocat_2(A!0, B!1, C!2, D!3)), k6_isocat_1(A!0, k11_cat_2(B!1, C!2), B!1, D!3, D!3, k7_nattra_1(A!0, k11_cat_2(B!1, C!2), D!3), k16_cat_2(B!1, C!2))) | v1_xboole_0(u2_cat_1(B!1)) | v1_xboole_0(u1_cat_1(A!0)) | v1_xboole_0(u2_cat_1(B!1)) | v1_xboole_0(u1_cat_1(A!0)) | (~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, D!3, k7_nattra_1(A!0, k11_cat_2(B!1, C!2), D!3), k16_cat_2(B!1, C!2)), k4_nattra_1(A!0, B!1, k11_isocat_2(A!0, B!1, C!2, D!3)))) | (~v1_funct_1(k4_nattra_1(A!0, B!1, k11_isocat_2(A!0, B!1, C!2, D!3)))) | (~v1_funct_1(k6_isocat_1(A!0, k11_cat_2(B!1, C!2), B!1, D!3, D!3, k7_nattra_1(A!0, k11_cat_2(B!1, C!2), D!3), k16_cat_2(B!1, C!2)))) | (~v1_funct_2(k6_isocat_1(A!0, k11_cat_2(B!1, C!2), B!1, D!3, D!3, k7_nattra_1(A!0, k11_cat_2(B!1, C!2), D!3), k16_cat_2(B!1, C!2)), u1_cat_1(A!0), u2_cat_1(B!1))) | (~m1_relset_1(k6_isocat_1(A!0, k11_cat_2(B!1, C!2), B!1, D!3, D!3, k7_nattra_1(A!0, k11_cat_2(B!1, C!2), D!3), k16_cat_2(B!1, C!2)), u1_cat_1(A!0), u2_cat_1(B!1))) | (~v1_funct_2(k4_nattra_1(A!0, B!1, k11_isocat_2(A!0, B!1, C!2, D!3)), u1_cat_1(A!0), u2_cat_1(B!1))) | (~m1_relset_1(k4_nattra_1(A!0, B!1, k11_isocat_2(A!0, B!1, C!2, D!3)), u1_cat_1(A!0), u2_cat_1(B!1))))),
% 36.94/23.65      inference(quant_inst,[status(thm)],[])).
% 36.94/23.65  tff(497,plain,
% 36.94/23.65      ((~![A: $i, B: $i, C: $i, D: $i, E: $i, F: $i] : (r4_nattra_1(A, B, C, D, F, E) | v1_xboole_0(D) | v1_xboole_0(C) | v1_xboole_0(B) | v1_xboole_0(A) | (~r4_nattra_1(A, B, C, D, E, F)) | (~v1_funct_1(F)) | (~v1_funct_1(E)) | (~v1_funct_2(E, A, B)) | (~m1_relset_1(E, A, B)) | (~v1_funct_2(F, C, D)) | (~m1_relset_1(F, C, D)))) | v1_xboole_0(u1_cat_1(A!0)) | v1_xboole_0(u2_cat_1(B!1)) | (~v1_funct_1(k4_nattra_1(A!0, B!1, k11_isocat_2(A!0, B!1, C!2, D!3)))) | (~v1_funct_2(k4_nattra_1(A!0, B!1, k11_isocat_2(A!0, B!1, C!2, D!3)), u1_cat_1(A!0), u2_cat_1(B!1))) | (~m1_relset_1(k4_nattra_1(A!0, B!1, k11_isocat_2(A!0, B!1, C!2, D!3)), u1_cat_1(A!0), u2_cat_1(B!1))) | (~v1_funct_1(k6_isocat_1(A!0, k11_cat_2(B!1, C!2), B!1, D!3, D!3, k7_nattra_1(A!0, k11_cat_2(B!1, C!2), D!3), k16_cat_2(B!1, C!2)))) | (~v1_funct_2(k6_isocat_1(A!0, k11_cat_2(B!1, C!2), B!1, D!3, D!3, k7_nattra_1(A!0, k11_cat_2(B!1, C!2), D!3), k16_cat_2(B!1, C!2)), u1_cat_1(A!0), u2_cat_1(B!1))) | (~m1_relset_1(k6_isocat_1(A!0, k11_cat_2(B!1, C!2), B!1, D!3, D!3, k7_nattra_1(A!0, k11_cat_2(B!1, C!2), D!3), k16_cat_2(B!1, C!2)), u1_cat_1(A!0), u2_cat_1(B!1))) | (~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, D!3, k7_nattra_1(A!0, k11_cat_2(B!1, C!2), D!3), k16_cat_2(B!1, C!2)), k4_nattra_1(A!0, B!1, k11_isocat_2(A!0, B!1, C!2, D!3)))) | r4_nattra_1(u1_cat_1(A!0), u2_cat_1(B!1), u1_cat_1(A!0), u2_cat_1(B!1), k4_nattra_1(A!0, B!1, k11_isocat_2(A!0, B!1, C!2, D!3)), k6_isocat_1(A!0, k11_cat_2(B!1, C!2), B!1, D!3, D!3, k7_nattra_1(A!0, k11_cat_2(B!1, C!2), D!3), k16_cat_2(B!1, C!2)))),
% 36.94/23.65      inference(modus_ponens,[status(thm)],[496, 495])).
% 36.94/23.65  tff(498,plain,
% 36.94/23.65      ((~v1_funct_1(k6_isocat_1(A!0, k11_cat_2(B!1, C!2), B!1, D!3, D!3, k7_nattra_1(A!0, k11_cat_2(B!1, C!2), D!3), k16_cat_2(B!1, C!2)))) | (~v1_funct_2(k6_isocat_1(A!0, k11_cat_2(B!1, C!2), B!1, D!3, D!3, k7_nattra_1(A!0, k11_cat_2(B!1, C!2), D!3), k16_cat_2(B!1, C!2)), u1_cat_1(A!0), u2_cat_1(B!1))) | (~m1_relset_1(k6_isocat_1(A!0, k11_cat_2(B!1, C!2), B!1, D!3, D!3, k7_nattra_1(A!0, k11_cat_2(B!1, C!2), D!3), k16_cat_2(B!1, C!2)), u1_cat_1(A!0), u2_cat_1(B!1))) | (~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, D!3, k7_nattra_1(A!0, k11_cat_2(B!1, C!2), D!3), k16_cat_2(B!1, C!2)), k4_nattra_1(A!0, B!1, k11_isocat_2(A!0, B!1, C!2, D!3)))) | r4_nattra_1(u1_cat_1(A!0), u2_cat_1(B!1), u1_cat_1(A!0), u2_cat_1(B!1), k4_nattra_1(A!0, B!1, k11_isocat_2(A!0, B!1, C!2, D!3)), k6_isocat_1(A!0, k11_cat_2(B!1, C!2), B!1, D!3, D!3, k7_nattra_1(A!0, k11_cat_2(B!1, C!2), D!3), k16_cat_2(B!1, C!2)))),
% 36.94/23.65      inference(unit_resolution,[status(thm)],[497, 491, 478, 464, 450, 448, 446])).
% 36.94/23.65  tff(499,plain,
% 36.94/23.65      (r4_nattra_1(u1_cat_1(A!0), u2_cat_1(B!1), u1_cat_1(A!0), u2_cat_1(B!1), k4_nattra_1(A!0, B!1, k11_isocat_2(A!0, B!1, C!2, D!3)), k6_isocat_1(A!0, k11_cat_2(B!1, C!2), B!1, D!3, D!3, k7_nattra_1(A!0, k11_cat_2(B!1, C!2), D!3), k16_cat_2(B!1, C!2)))),
% 36.94/23.65      inference(unit_resolution,[status(thm)],[498, 415, 397, 392, 289])).
% 36.94/23.65  tff(500,plain,
% 36.94/23.65      (r4_nattra_1(u1_cat_1(A!0), u2_cat_1(B!1), u1_cat_1(A!0), u2_cat_1(B!1), k7_nattra_1(A!0, B!1, k11_isocat_2(A!0, B!1, C!2, D!3)), k13_isocat_2(A!0, B!1, C!2, D!3, D!3, k7_nattra_1(A!0, k11_cat_2(B!1, C!2), D!3)))),
% 36.94/23.65      inference(modus_ponens,[status(thm)],[499, 201])).
% 36.94/23.65  tff(501,plain,
% 36.94/23.65      (k14_isocat_2(A!0, B!1, C!2, D!3, D!3, k4_nattra_1(A!0, k11_cat_2(B!1, C!2), D!3)) = k14_isocat_2(A!0, B!1, C!2, D!3, D!3, k7_nattra_1(A!0, k11_cat_2(B!1, C!2), D!3))),
% 36.94/23.65      inference(monotonicity,[status(thm)],[80])).
% 36.94/23.65  tff(502,plain,
% 36.94/23.65      (^[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))))))))))),
% 36.94/23.65      inference(bind,[status(th)],[])).
% 36.94/23.65  tff(503,plain,
% 36.94/23.65      (![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)))))))))),
% 36.94/23.65      inference(quant_intro,[status(thm)],[502])).
% 36.94/23.65  tff(504,plain,
% 36.94/23.65      (^[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))))))),
% 36.94/23.65      inference(bind,[status(th)],[])).
% 36.94/23.65  tff(505,plain,
% 36.94/23.65      (![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)))))),
% 36.94/23.65      inference(quant_intro,[status(thm)],[504])).
% 36.94/23.65  tff(506,plain,
% 36.94/23.65      (^[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))))))),
% 36.94/23.66      inference(bind,[status(th)],[])).
% 36.94/23.66  tff(507,plain,
% 36.94/23.66      (![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))) | ![E: $i] : ((~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)))))),
% 36.94/23.66      inference(quant_intro,[status(thm)],[506])).
% 36.94/23.66  tff(508,plain,
% 36.94/23.66      (![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))) | ![E: $i] : ((~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)))))),
% 36.94/23.66      inference(transitivity,[status(thm)],[507, 505])).
% 36.94/23.66  tff(509,plain,
% 36.94/23.66      (^[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))) | ![E: $i] : ((~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)))))))),
% 36.94/23.66      inference(bind,[status(th)],[])).
% 36.94/23.66  tff(510,plain,
% 36.94/23.66      (![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))) | ![E: $i] : ((~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)))))),
% 36.94/23.66      inference(quant_intro,[status(thm)],[509])).
% 36.94/23.66  tff(511,plain,
% 36.94/23.66      (![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))) | ![E: $i] : ((~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)))))))))),
% 36.94/23.66      inference(rewrite,[status(thm)],[])).
% 36.94/23.66  tff(512,plain,
% 36.94/23.66      (^[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] : 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)))))))))))),
% 36.94/23.67      inference(bind,[status(th)],[])).
% 36.94/23.67  tff(513,plain,
% 36.94/23.67      (![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)))))))))),
% 36.94/23.67      inference(quant_intro,[status(thm)],[512])).
% 36.94/23.67  tff(514,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')).
% 36.94/23.67  tff(515,plain,
% 36.94/23.67      (![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)))))))))),
% 36.94/23.67      inference(modus_ponens,[status(thm)],[514, 513])).
% 36.94/23.67  tff(516,plain,
% 36.94/23.67      (![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)))))))))),
% 36.94/23.67      inference(modus_ponens,[status(thm)],[515, 511])).
% 36.94/23.67  tff(517,plain,(
% 36.94/23.67      ![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)))))))))),
% 36.94/23.67      inference(skolemize,[status(sab)],[516])).
% 36.94/23.67  tff(518,plain,
% 36.94/23.67      (![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)) | ![D: $i] : ((~m2_cat_1(D, A, k11_cat_2(B, C))) | ![E: $i] : ((~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)))))),
% 36.94/23.67      inference(modus_ponens,[status(thm)],[517, 510])).
% 36.94/23.67  tff(519,plain,
% 36.94/23.67      (![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)) | ![D: $i] : ((~m2_cat_1(D, A, k11_cat_2(B, C))) | ![E: $i] : ((~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)))))),
% 36.94/23.67      inference(modus_ponens,[status(thm)],[518, 508])).
% 36.94/23.67  tff(520,plain,
% 36.94/23.67      (![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, A, k11_cat_2(B, C))) | ![E: $i] : ((~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)))))))))),
% 36.94/23.67      inference(modus_ponens,[status(thm)],[519, 503])).
% 36.94/23.67  tff(521,plain,
% 36.94/23.67      (((~![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, A, k11_cat_2(B, C))) | ![E: $i] : ((~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)))))))))),
% 36.94/23.67      inference(rewrite,[status(thm)],[])).
% 36.94/23.67  tff(522,plain,
% 36.94/23.67      ((~![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, A, k11_cat_2(B, C))) | ![E: $i] : ((~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)))))))))),
% 36.94/23.67      inference(quant_inst,[status(thm)],[])).
% 36.94/23.67  tff(523,plain,
% 36.94/23.67      ((~![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, A, k11_cat_2(B, C))) | ![E: $i] : ((~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))))))))),
% 36.94/23.67      inference(modus_ponens,[status(thm)],[522, 521])).
% 36.94/23.67  tff(524,plain,
% 36.94/23.67      (![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))))))))),
% 36.94/23.67      inference(unit_resolution,[status(thm)],[523, 71, 70, 520])).
% 36.94/23.67  tff(525,plain,
% 36.94/23.67      (((~![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))))))))),
% 36.94/23.67      inference(rewrite,[status(thm)],[])).
% 36.94/23.67  tff(526,plain,
% 36.94/23.67      ((~![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))))))))),
% 36.94/23.67      inference(quant_inst,[status(thm)],[])).
% 36.94/23.67  tff(527,plain,
% 36.94/23.67      ((~![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)))))))),
% 36.94/23.67      inference(modus_ponens,[status(thm)],[526, 525])).
% 36.94/23.67  tff(528,plain,
% 36.94/23.67      (![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)))))))),
% 36.94/23.67      inference(unit_resolution,[status(thm)],[527, 40, 39, 524])).
% 36.94/23.67  tff(529,plain,
% 36.94/23.67      (((~![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)))))))),
% 36.94/23.68      inference(rewrite,[status(thm)],[])).
% 36.94/23.68  tff(530,plain,
% 36.94/23.68      ((~![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)))))))),
% 36.94/23.68      inference(quant_inst,[status(thm)],[])).
% 36.94/23.68  tff(531,plain,
% 36.94/23.68      ((~![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))))))),
% 36.94/23.68      inference(modus_ponens,[status(thm)],[530, 529])).
% 36.94/23.68  tff(532,plain,
% 36.94/23.68      (![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))))))),
% 36.94/23.68      inference(unit_resolution,[status(thm)],[531, 38, 37, 528])).
% 36.94/23.68  tff(533,plain,
% 36.94/23.68      (((~![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))))))),
% 36.94/23.68      inference(rewrite,[status(thm)],[])).
% 36.94/23.68  tff(534,plain,
% 36.94/23.68      ((~![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))))))),
% 36.94/23.68      inference(quant_inst,[status(thm)],[])).
% 36.94/23.68  tff(535,plain,
% 36.94/23.68      ((~![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)))))),
% 36.94/23.68      inference(modus_ponens,[status(thm)],[534, 533])).
% 36.94/23.68  tff(536,plain,
% 36.94/23.68      (![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)))))),
% 36.94/23.68      inference(unit_resolution,[status(thm)],[535, 69, 532])).
% 36.94/23.68  tff(537,plain,
% 36.94/23.68      (((~![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(D!3, 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, D!3)) | (k14_isocat_2(A!0, B!1, C!2, D!3, D!3, F) = k6_isocat_1(A!0, k11_cat_2(B!1, C!2), C!2, D!3, D!3, 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(D!3, 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, D!3)) | (k14_isocat_2(A!0, B!1, C!2, D!3, D!3, F) = k6_isocat_1(A!0, k11_cat_2(B!1, C!2), C!2, D!3, D!3, F, k9_isocat_2(B!1, C!2)))))),
% 36.94/23.68      inference(rewrite,[status(thm)],[])).
% 36.94/23.68  tff(538,plain,
% 36.94/23.68      ((~![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(D!3, 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, D!3)) | (k14_isocat_2(A!0, B!1, C!2, D!3, D!3, F) = k6_isocat_1(A!0, k11_cat_2(B!1, C!2), C!2, D!3, D!3, F, k9_isocat_2(B!1, C!2)))))),
% 36.94/23.68      inference(quant_inst,[status(thm)],[])).
% 36.94/23.68  tff(539,plain,
% 36.94/23.68      ((~![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(D!3, 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, D!3)) | (k14_isocat_2(A!0, B!1, C!2, D!3, D!3, F) = k6_isocat_1(A!0, k11_cat_2(B!1, C!2), C!2, D!3, D!3, F, k9_isocat_2(B!1, C!2))))),
% 36.94/23.68      inference(modus_ponens,[status(thm)],[538, 537])).
% 36.94/23.68  tff(540,plain,
% 36.94/23.68      (![F: $i] : ((~m2_nattra_1(F, A!0, k11_cat_2(B!1, C!2), D!3, D!3)) | (k14_isocat_2(A!0, B!1, C!2, D!3, D!3, F) = k6_isocat_1(A!0, k11_cat_2(B!1, C!2), C!2, D!3, D!3, F, k9_isocat_2(B!1, C!2))))),
% 36.94/23.68      inference(unit_resolution,[status(thm)],[539, 69, 536])).
% 36.94/23.68  tff(541,plain,
% 36.94/23.68      (((~![F: $i] : ((~m2_nattra_1(F, A!0, k11_cat_2(B!1, C!2), D!3, D!3)) | (k14_isocat_2(A!0, B!1, C!2, D!3, D!3, F) = k6_isocat_1(A!0, k11_cat_2(B!1, C!2), C!2, D!3, D!3, F, k9_isocat_2(B!1, C!2))))) | ((~m2_nattra_1(k4_nattra_1(A!0, k11_cat_2(B!1, C!2), D!3), A!0, k11_cat_2(B!1, C!2), D!3, D!3)) | (k14_isocat_2(A!0, B!1, C!2, D!3, D!3, k4_nattra_1(A!0, k11_cat_2(B!1, C!2), D!3)) = k6_isocat_1(A!0, k11_cat_2(B!1, C!2), C!2, D!3, D!3, k4_nattra_1(A!0, k11_cat_2(B!1, C!2), D!3), k9_isocat_2(B!1, C!2))))) <=> ((~![F: $i] : ((~m2_nattra_1(F, A!0, k11_cat_2(B!1, C!2), D!3, D!3)) | (k14_isocat_2(A!0, B!1, C!2, D!3, D!3, F) = k6_isocat_1(A!0, k11_cat_2(B!1, C!2), C!2, D!3, D!3, F, k9_isocat_2(B!1, C!2))))) | (~m2_nattra_1(k4_nattra_1(A!0, k11_cat_2(B!1, C!2), D!3), A!0, k11_cat_2(B!1, C!2), D!3, D!3)) | (k14_isocat_2(A!0, B!1, C!2, D!3, D!3, k4_nattra_1(A!0, k11_cat_2(B!1, C!2), D!3)) = k6_isocat_1(A!0, k11_cat_2(B!1, C!2), C!2, D!3, D!3, k4_nattra_1(A!0, k11_cat_2(B!1, C!2), D!3), k9_isocat_2(B!1, C!2))))),
% 36.94/23.69      inference(rewrite,[status(thm)],[])).
% 36.94/23.69  tff(542,plain,
% 36.94/23.69      ((~![F: $i] : ((~m2_nattra_1(F, A!0, k11_cat_2(B!1, C!2), D!3, D!3)) | (k14_isocat_2(A!0, B!1, C!2, D!3, D!3, F) = k6_isocat_1(A!0, k11_cat_2(B!1, C!2), C!2, D!3, D!3, F, k9_isocat_2(B!1, C!2))))) | ((~m2_nattra_1(k4_nattra_1(A!0, k11_cat_2(B!1, C!2), D!3), A!0, k11_cat_2(B!1, C!2), D!3, D!3)) | (k14_isocat_2(A!0, B!1, C!2, D!3, D!3, k4_nattra_1(A!0, k11_cat_2(B!1, C!2), D!3)) = k6_isocat_1(A!0, k11_cat_2(B!1, C!2), C!2, D!3, D!3, k4_nattra_1(A!0, k11_cat_2(B!1, C!2), D!3), k9_isocat_2(B!1, C!2))))),
% 36.94/23.69      inference(quant_inst,[status(thm)],[])).
% 36.94/23.69  tff(543,plain,
% 36.94/23.69      ((~![F: $i] : ((~m2_nattra_1(F, A!0, k11_cat_2(B!1, C!2), D!3, D!3)) | (k14_isocat_2(A!0, B!1, C!2, D!3, D!3, F) = k6_isocat_1(A!0, k11_cat_2(B!1, C!2), C!2, D!3, D!3, F, k9_isocat_2(B!1, C!2))))) | (~m2_nattra_1(k4_nattra_1(A!0, k11_cat_2(B!1, C!2), D!3), A!0, k11_cat_2(B!1, C!2), D!3, D!3)) | (k14_isocat_2(A!0, B!1, C!2, D!3, D!3, k4_nattra_1(A!0, k11_cat_2(B!1, C!2), D!3)) = k6_isocat_1(A!0, k11_cat_2(B!1, C!2), C!2, D!3, D!3, k4_nattra_1(A!0, k11_cat_2(B!1, C!2), D!3), k9_isocat_2(B!1, C!2)))),
% 36.94/23.69      inference(modus_ponens,[status(thm)],[542, 541])).
% 36.94/23.69  tff(544,plain,
% 36.94/23.69      (k14_isocat_2(A!0, B!1, C!2, D!3, D!3, k4_nattra_1(A!0, k11_cat_2(B!1, C!2), D!3)) = k6_isocat_1(A!0, k11_cat_2(B!1, C!2), C!2, D!3, D!3, k4_nattra_1(A!0, k11_cat_2(B!1, C!2), D!3), k9_isocat_2(B!1, C!2))),
% 36.94/23.69      inference(unit_resolution,[status(thm)],[543, 144, 540])).
% 36.94/23.69  tff(545,plain,
% 36.94/23.69      (k6_isocat_1(A!0, k11_cat_2(B!1, C!2), C!2, D!3, D!3, k4_nattra_1(A!0, k11_cat_2(B!1, C!2), D!3), k9_isocat_2(B!1, C!2)) = k14_isocat_2(A!0, B!1, C!2, D!3, D!3, k4_nattra_1(A!0, k11_cat_2(B!1, C!2), D!3))),
% 36.94/23.69      inference(symmetry,[status(thm)],[544])).
% 36.94/23.69  tff(546,plain,
% 36.94/23.69      (^[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))))),
% 36.94/23.69      inference(bind,[status(th)],[])).
% 36.94/23.69  tff(547,plain,
% 36.94/23.69      (![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)))),
% 36.94/23.69      inference(quant_intro,[status(thm)],[546])).
% 36.94/23.69  tff(548,plain,
% 36.94/23.69      (^[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)))))),
% 36.94/23.69      inference(bind,[status(th)],[])).
% 36.94/23.69  tff(549,plain,
% 36.94/23.69      (![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)))),
% 36.94/23.69      inference(quant_intro,[status(thm)],[548])).
% 36.94/23.69  tff(550,plain,
% 36.94/23.69      (![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)))),
% 36.94/23.69      inference(rewrite,[status(thm)],[])).
% 36.94/23.69  tff(551,plain,
% 36.94/23.69      (^[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)))))),
% 36.94/23.69      inference(bind,[status(th)],[])).
% 36.94/23.69  tff(552,plain,
% 36.94/23.69      (![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)))),
% 36.94/23.69      inference(quant_intro,[status(thm)],[551])).
% 36.94/23.69  tff(553,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')).
% 36.94/23.69  tff(554,plain,
% 36.94/23.69      (![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)))),
% 36.94/23.69      inference(modus_ponens,[status(thm)],[553, 552])).
% 36.94/23.69  tff(555,plain,
% 36.94/23.69      (![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)))),
% 36.94/23.69      inference(modus_ponens,[status(thm)],[554, 550])).
% 36.94/23.69  tff(556,plain,(
% 36.94/23.69      ![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)))),
% 36.94/23.69      inference(skolemize,[status(sab)],[555])).
% 36.94/23.69  tff(557,plain,
% 36.94/23.69      (![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)))),
% 36.94/23.69      inference(modus_ponens,[status(thm)],[556, 549])).
% 36.94/23.69  tff(558,plain,
% 36.94/23.69      (![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)))),
% 36.94/23.69      inference(modus_ponens,[status(thm)],[557, 547])).
% 36.94/23.69  tff(559,plain,
% 36.94/23.69      (((~![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)))) | ((~v2_cat_1(B!1)) | (~l1_cat_1(B!1)) | (~v2_cat_1(C!2)) | (~l1_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)))) | (~v2_cat_1(B!1)) | (~l1_cat_1(B!1)) | (~v2_cat_1(C!2)) | (~l1_cat_1(C!2)) | (k9_isocat_2(B!1, C!2) = k17_cat_2(B!1, C!2)))),
% 37.01/23.69      inference(rewrite,[status(thm)],[])).
% 37.01/23.69  tff(560,plain,
% 37.01/23.69      (((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))) <=> ((~v2_cat_1(B!1)) | (~l1_cat_1(B!1)) | (~v2_cat_1(C!2)) | (~l1_cat_1(C!2)) | (k9_isocat_2(B!1, C!2) = k17_cat_2(B!1, C!2)))),
% 37.01/23.69      inference(rewrite,[status(thm)],[])).
% 37.01/23.69  tff(561,plain,
% 37.01/23.69      (((~![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)))) | ((~v2_cat_1(B!1)) | (~l1_cat_1(B!1)) | (~v2_cat_1(C!2)) | (~l1_cat_1(C!2)) | (k9_isocat_2(B!1, C!2) = k17_cat_2(B!1, C!2))))),
% 37.01/23.69      inference(monotonicity,[status(thm)],[560])).
% 37.01/23.69  tff(562,plain,
% 37.01/23.69      (((~![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)))) | (~v2_cat_1(B!1)) | (~l1_cat_1(B!1)) | (~v2_cat_1(C!2)) | (~l1_cat_1(C!2)) | (k9_isocat_2(B!1, C!2) = k17_cat_2(B!1, C!2)))),
% 37.01/23.69      inference(transitivity,[status(thm)],[561, 559])).
% 37.01/23.69  tff(563,plain,
% 37.01/23.69      ((~![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)))),
% 37.01/23.69      inference(quant_inst,[status(thm)],[])).
% 37.01/23.69  tff(564,plain,
% 37.01/23.69      ((~![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)))) | (~v2_cat_1(B!1)) | (~l1_cat_1(B!1)) | (~v2_cat_1(C!2)) | (~l1_cat_1(C!2)) | (k9_isocat_2(B!1, C!2) = k17_cat_2(B!1, C!2))),
% 37.01/23.69      inference(modus_ponens,[status(thm)],[563, 562])).
% 37.01/23.69  tff(565,plain,
% 37.01/23.69      (k9_isocat_2(B!1, C!2) = k17_cat_2(B!1, C!2)),
% 37.01/23.69      inference(unit_resolution,[status(thm)],[564, 40, 39, 38, 37, 558])).
% 37.01/23.69  tff(566,plain,
% 37.01/23.69      (k17_cat_2(B!1, C!2) = k9_isocat_2(B!1, C!2)),
% 37.01/23.69      inference(symmetry,[status(thm)],[565])).
% 37.01/23.69  tff(567,plain,
% 37.01/23.69      (k6_isocat_1(A!0, k11_cat_2(B!1, C!2), C!2, D!3, D!3, k7_nattra_1(A!0, k11_cat_2(B!1, C!2), D!3), k17_cat_2(B!1, C!2)) = k6_isocat_1(A!0, k11_cat_2(B!1, C!2), C!2, D!3, D!3, k4_nattra_1(A!0, k11_cat_2(B!1, C!2), D!3), k9_isocat_2(B!1, C!2))),
% 37.01/23.69      inference(monotonicity,[status(thm)],[79, 566])).
% 37.01/23.69  tff(568,plain,
% 37.01/23.69      (k6_isocat_1(A!0, k11_cat_2(B!1, C!2), C!2, D!3, D!3, k7_nattra_1(A!0, k11_cat_2(B!1, C!2), D!3), k17_cat_2(B!1, C!2)) = k14_isocat_2(A!0, B!1, C!2, D!3, D!3, k7_nattra_1(A!0, k11_cat_2(B!1, C!2), D!3))),
% 37.01/23.69      inference(transitivity,[status(thm)],[567, 545, 501])).
% 37.01/23.69  tff(569,plain,
% 37.01/23.69      (^[A: $i, B: $i, C: $i, D: $i] : refl((m2_cat_1(k12_isocat_2(A, B, C, D), A, C) | (~m2_cat_1(D, A, k11_cat_2(B, C))) | (~v2_cat_1(A)) | (~l1_cat_1(A)) | (~v2_cat_1(B)) | (~l1_cat_1(B)) | (~v2_cat_1(C)) | (~l1_cat_1(C))) <=> (m2_cat_1(k12_isocat_2(A, B, C, D), A, C) | (~m2_cat_1(D, A, k11_cat_2(B, C))) | (~v2_cat_1(A)) | (~l1_cat_1(A)) | (~v2_cat_1(B)) | (~l1_cat_1(B)) | (~v2_cat_1(C)) | (~l1_cat_1(C))))),
% 37.01/23.69      inference(bind,[status(th)],[])).
% 37.01/23.69  tff(570,plain,
% 37.01/23.69      (![A: $i, B: $i, C: $i, D: $i] : (m2_cat_1(k12_isocat_2(A, B, C, D), A, C) | (~m2_cat_1(D, A, k11_cat_2(B, C))) | (~v2_cat_1(A)) | (~l1_cat_1(A)) | (~v2_cat_1(B)) | (~l1_cat_1(B)) | (~v2_cat_1(C)) | (~l1_cat_1(C))) <=> ![A: $i, B: $i, C: $i, D: $i] : (m2_cat_1(k12_isocat_2(A, B, C, D), A, C) | (~m2_cat_1(D, A, k11_cat_2(B, C))) | (~v2_cat_1(A)) | (~l1_cat_1(A)) | (~v2_cat_1(B)) | (~l1_cat_1(B)) | (~v2_cat_1(C)) | (~l1_cat_1(C)))),
% 37.01/23.70      inference(quant_intro,[status(thm)],[569])).
% 37.01/23.70  tff(571,plain,
% 37.01/23.70      (^[A: $i, B: $i, C: $i, D: $i] : trans(monotonicity(trans(monotonicity(rewrite((v2_cat_1(A) & l1_cat_1(A) & v2_cat_1(B) & l1_cat_1(B) & v2_cat_1(C) & l1_cat_1(C) & m2_cat_1(D, A, k11_cat_2(B, C))) <=> (~((~m2_cat_1(D, A, k11_cat_2(B, C))) | (~v2_cat_1(A)) | (~l1_cat_1(A)) | (~v2_cat_1(B)) | (~l1_cat_1(B)) | (~v2_cat_1(C)) | (~l1_cat_1(C))))), ((~(v2_cat_1(A) & l1_cat_1(A) & v2_cat_1(B) & l1_cat_1(B) & v2_cat_1(C) & l1_cat_1(C) & m2_cat_1(D, A, k11_cat_2(B, C)))) <=> (~(~((~m2_cat_1(D, A, k11_cat_2(B, C))) | (~v2_cat_1(A)) | (~l1_cat_1(A)) | (~v2_cat_1(B)) | (~l1_cat_1(B)) | (~v2_cat_1(C)) | (~l1_cat_1(C))))))), rewrite((~(~((~m2_cat_1(D, A, k11_cat_2(B, C))) | (~v2_cat_1(A)) | (~l1_cat_1(A)) | (~v2_cat_1(B)) | (~l1_cat_1(B)) | (~v2_cat_1(C)) | (~l1_cat_1(C))))) <=> ((~m2_cat_1(D, A, k11_cat_2(B, C))) | (~v2_cat_1(A)) | (~l1_cat_1(A)) | (~v2_cat_1(B)) | (~l1_cat_1(B)) | (~v2_cat_1(C)) | (~l1_cat_1(C)))), ((~(v2_cat_1(A) & l1_cat_1(A) & v2_cat_1(B) & l1_cat_1(B) & v2_cat_1(C) & l1_cat_1(C) & m2_cat_1(D, A, k11_cat_2(B, C)))) <=> ((~m2_cat_1(D, A, k11_cat_2(B, C))) | (~v2_cat_1(A)) | (~l1_cat_1(A)) | (~v2_cat_1(B)) | (~l1_cat_1(B)) | (~v2_cat_1(C)) | (~l1_cat_1(C))))), (((~(v2_cat_1(A) & l1_cat_1(A) & v2_cat_1(B) & l1_cat_1(B) & v2_cat_1(C) & l1_cat_1(C) & m2_cat_1(D, A, k11_cat_2(B, C)))) | m2_cat_1(k12_isocat_2(A, B, C, D), A, C)) <=> (((~m2_cat_1(D, A, k11_cat_2(B, C))) | (~v2_cat_1(A)) | (~l1_cat_1(A)) | (~v2_cat_1(B)) | (~l1_cat_1(B)) | (~v2_cat_1(C)) | (~l1_cat_1(C))) | m2_cat_1(k12_isocat_2(A, B, C, D), A, C)))), rewrite((((~m2_cat_1(D, A, k11_cat_2(B, C))) | (~v2_cat_1(A)) | (~l1_cat_1(A)) | (~v2_cat_1(B)) | (~l1_cat_1(B)) | (~v2_cat_1(C)) | (~l1_cat_1(C))) | m2_cat_1(k12_isocat_2(A, B, C, D), A, C)) <=> (m2_cat_1(k12_isocat_2(A, B, C, D), A, C) | (~m2_cat_1(D, A, k11_cat_2(B, C))) | (~v2_cat_1(A)) | (~l1_cat_1(A)) | (~v2_cat_1(B)) | (~l1_cat_1(B)) | (~v2_cat_1(C)) | (~l1_cat_1(C)))), (((~(v2_cat_1(A) & l1_cat_1(A) & v2_cat_1(B) & l1_cat_1(B) & v2_cat_1(C) & l1_cat_1(C) & m2_cat_1(D, A, k11_cat_2(B, C)))) | m2_cat_1(k12_isocat_2(A, B, C, D), A, C)) <=> (m2_cat_1(k12_isocat_2(A, B, C, D), A, C) | (~m2_cat_1(D, A, k11_cat_2(B, C))) | (~v2_cat_1(A)) | (~l1_cat_1(A)) | (~v2_cat_1(B)) | (~l1_cat_1(B)) | (~v2_cat_1(C)) | (~l1_cat_1(C)))))),
% 37.01/23.70      inference(bind,[status(th)],[])).
% 37.01/23.70  tff(572,plain,
% 37.01/23.70      (![A: $i, B: $i, C: $i, D: $i] : ((~(v2_cat_1(A) & l1_cat_1(A) & v2_cat_1(B) & l1_cat_1(B) & v2_cat_1(C) & l1_cat_1(C) & m2_cat_1(D, A, k11_cat_2(B, C)))) | m2_cat_1(k12_isocat_2(A, B, C, D), A, C)) <=> ![A: $i, B: $i, C: $i, D: $i] : (m2_cat_1(k12_isocat_2(A, B, C, D), A, C) | (~m2_cat_1(D, A, k11_cat_2(B, C))) | (~v2_cat_1(A)) | (~l1_cat_1(A)) | (~v2_cat_1(B)) | (~l1_cat_1(B)) | (~v2_cat_1(C)) | (~l1_cat_1(C)))),
% 37.01/23.70      inference(quant_intro,[status(thm)],[571])).
% 37.01/23.70  tff(573,plain,
% 37.01/23.70      (![A: $i, B: $i, C: $i, D: $i] : ((~(v2_cat_1(A) & l1_cat_1(A) & v2_cat_1(B) & l1_cat_1(B) & v2_cat_1(C) & l1_cat_1(C) & m2_cat_1(D, A, k11_cat_2(B, C)))) | m2_cat_1(k12_isocat_2(A, B, C, D), A, C)) <=> ![A: $i, B: $i, C: $i, D: $i] : ((~(v2_cat_1(A) & l1_cat_1(A) & v2_cat_1(B) & l1_cat_1(B) & v2_cat_1(C) & l1_cat_1(C) & m2_cat_1(D, A, k11_cat_2(B, C)))) | m2_cat_1(k12_isocat_2(A, B, C, D), A, C))),
% 37.01/23.70      inference(rewrite,[status(thm)],[])).
% 37.01/23.70  tff(574,plain,
% 37.01/23.70      (^[A: $i, B: $i, C: $i, D: $i] : 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)) & v2_cat_1(C)) <=> ((v2_cat_1(A) & l1_cat_1(A) & v2_cat_1(B) & l1_cat_1(B)) & v2_cat_1(C)))), rewrite(((v2_cat_1(A) & l1_cat_1(A) & v2_cat_1(B) & l1_cat_1(B)) & v2_cat_1(C)) <=> (v2_cat_1(A) & l1_cat_1(A) & v2_cat_1(B) & l1_cat_1(B) & v2_cat_1(C))), (((((v2_cat_1(A) & l1_cat_1(A)) & v2_cat_1(B)) & l1_cat_1(B)) & v2_cat_1(C)) <=> (v2_cat_1(A) & l1_cat_1(A) & v2_cat_1(B) & l1_cat_1(B) & v2_cat_1(C)))), ((((((v2_cat_1(A) & l1_cat_1(A)) & v2_cat_1(B)) & l1_cat_1(B)) & v2_cat_1(C)) & l1_cat_1(C)) <=> ((v2_cat_1(A) & l1_cat_1(A) & v2_cat_1(B) & l1_cat_1(B) & v2_cat_1(C)) & l1_cat_1(C)))), rewrite(((v2_cat_1(A) & l1_cat_1(A) & v2_cat_1(B) & l1_cat_1(B) & v2_cat_1(C)) & l1_cat_1(C)) <=> (v2_cat_1(A) & l1_cat_1(A) & v2_cat_1(B) & l1_cat_1(B) & v2_cat_1(C) & l1_cat_1(C))), ((((((v2_cat_1(A) & l1_cat_1(A)) & v2_cat_1(B)) & l1_cat_1(B)) & v2_cat_1(C)) & l1_cat_1(C)) <=> (v2_cat_1(A) & l1_cat_1(A) & v2_cat_1(B) & l1_cat_1(B) & v2_cat_1(C) & l1_cat_1(C)))), (((((((v2_cat_1(A) & l1_cat_1(A)) & v2_cat_1(B)) & l1_cat_1(B)) & v2_cat_1(C)) & l1_cat_1(C)) & m2_cat_1(D, A, k11_cat_2(B, C))) <=> ((v2_cat_1(A) & l1_cat_1(A) & v2_cat_1(B) & l1_cat_1(B) & v2_cat_1(C) & l1_cat_1(C)) & m2_cat_1(D, A, k11_cat_2(B, C))))), rewrite(((v2_cat_1(A) & l1_cat_1(A) & v2_cat_1(B) & l1_cat_1(B) & v2_cat_1(C) & l1_cat_1(C)) & m2_cat_1(D, A, k11_cat_2(B, C))) <=> (v2_cat_1(A) & l1_cat_1(A) & v2_cat_1(B) & l1_cat_1(B) & v2_cat_1(C) & l1_cat_1(C) & m2_cat_1(D, A, k11_cat_2(B, C)))), (((((((v2_cat_1(A) & l1_cat_1(A)) & v2_cat_1(B)) & l1_cat_1(B)) & v2_cat_1(C)) & l1_cat_1(C)) & m2_cat_1(D, A, k11_cat_2(B, C))) <=> (v2_cat_1(A) & l1_cat_1(A) & v2_cat_1(B) & l1_cat_1(B) & v2_cat_1(C) & l1_cat_1(C) & m2_cat_1(D, A, k11_cat_2(B, C))))), ((((((((v2_cat_1(A) & l1_cat_1(A)) & v2_cat_1(B)) & l1_cat_1(B)) & v2_cat_1(C)) & l1_cat_1(C)) & m2_cat_1(D, A, k11_cat_2(B, C))) => m2_cat_1(k12_isocat_2(A, B, C, D), A, C)) <=> ((v2_cat_1(A) & l1_cat_1(A) & v2_cat_1(B) & l1_cat_1(B) & v2_cat_1(C) & l1_cat_1(C) & m2_cat_1(D, A, k11_cat_2(B, C))) => m2_cat_1(k12_isocat_2(A, B, C, D), A, C)))), rewrite(((v2_cat_1(A) & l1_cat_1(A) & v2_cat_1(B) & l1_cat_1(B) & v2_cat_1(C) & l1_cat_1(C) & m2_cat_1(D, A, k11_cat_2(B, C))) => m2_cat_1(k12_isocat_2(A, B, C, D), A, C)) <=> ((~(v2_cat_1(A) & l1_cat_1(A) & v2_cat_1(B) & l1_cat_1(B) & v2_cat_1(C) & l1_cat_1(C) & m2_cat_1(D, A, k11_cat_2(B, C)))) | m2_cat_1(k12_isocat_2(A, B, C, D), A, C))), ((((((((v2_cat_1(A) & l1_cat_1(A)) & v2_cat_1(B)) & l1_cat_1(B)) & v2_cat_1(C)) & l1_cat_1(C)) & m2_cat_1(D, A, k11_cat_2(B, C))) => m2_cat_1(k12_isocat_2(A, B, C, D), A, C)) <=> ((~(v2_cat_1(A) & l1_cat_1(A) & v2_cat_1(B) & l1_cat_1(B) & v2_cat_1(C) & l1_cat_1(C) & m2_cat_1(D, A, k11_cat_2(B, C)))) | m2_cat_1(k12_isocat_2(A, B, C, D), A, C))))),
% 37.01/23.70      inference(bind,[status(th)],[])).
% 37.01/23.70  tff(575,plain,
% 37.01/23.70      (![A: $i, B: $i, C: $i, D: $i] : (((((((v2_cat_1(A) & l1_cat_1(A)) & v2_cat_1(B)) & l1_cat_1(B)) & v2_cat_1(C)) & l1_cat_1(C)) & m2_cat_1(D, A, k11_cat_2(B, C))) => m2_cat_1(k12_isocat_2(A, B, C, D), A, C)) <=> ![A: $i, B: $i, C: $i, D: $i] : ((~(v2_cat_1(A) & l1_cat_1(A) & v2_cat_1(B) & l1_cat_1(B) & v2_cat_1(C) & l1_cat_1(C) & m2_cat_1(D, A, k11_cat_2(B, C)))) | m2_cat_1(k12_isocat_2(A, B, C, D), A, C))),
% 37.01/23.70      inference(quant_intro,[status(thm)],[574])).
% 37.01/23.70  tff(576,axiom,(![A: $i, B: $i, C: $i, D: $i] : (((((((v2_cat_1(A) & l1_cat_1(A)) & v2_cat_1(B)) & l1_cat_1(B)) & v2_cat_1(C)) & l1_cat_1(C)) & m2_cat_1(D, A, k11_cat_2(B, C))) => m2_cat_1(k12_isocat_2(A, B, C, D), A, C))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','dt_k12_isocat_2')).
% 37.01/23.70  tff(577,plain,
% 37.01/23.70      (![A: $i, B: $i, C: $i, D: $i] : ((~(v2_cat_1(A) & l1_cat_1(A) & v2_cat_1(B) & l1_cat_1(B) & v2_cat_1(C) & l1_cat_1(C) & m2_cat_1(D, A, k11_cat_2(B, C)))) | m2_cat_1(k12_isocat_2(A, B, C, D), A, C))),
% 37.01/23.70      inference(modus_ponens,[status(thm)],[576, 575])).
% 37.01/23.70  tff(578,plain,
% 37.01/23.70      (![A: $i, B: $i, C: $i, D: $i] : ((~(v2_cat_1(A) & l1_cat_1(A) & v2_cat_1(B) & l1_cat_1(B) & v2_cat_1(C) & l1_cat_1(C) & m2_cat_1(D, A, k11_cat_2(B, C)))) | m2_cat_1(k12_isocat_2(A, B, C, D), A, C))),
% 37.01/23.70      inference(modus_ponens,[status(thm)],[577, 573])).
% 37.01/23.70  tff(579,plain,(
% 37.01/23.70      ![A: $i, B: $i, C: $i, D: $i] : ((~(v2_cat_1(A) & l1_cat_1(A) & v2_cat_1(B) & l1_cat_1(B) & v2_cat_1(C) & l1_cat_1(C) & m2_cat_1(D, A, k11_cat_2(B, C)))) | m2_cat_1(k12_isocat_2(A, B, C, D), A, C))),
% 37.01/23.70      inference(skolemize,[status(sab)],[578])).
% 37.01/23.70  tff(580,plain,
% 37.01/23.70      (![A: $i, B: $i, C: $i, D: $i] : (m2_cat_1(k12_isocat_2(A, B, C, D), A, C) | (~m2_cat_1(D, A, k11_cat_2(B, C))) | (~v2_cat_1(A)) | (~l1_cat_1(A)) | (~v2_cat_1(B)) | (~l1_cat_1(B)) | (~v2_cat_1(C)) | (~l1_cat_1(C)))),
% 37.01/23.70      inference(modus_ponens,[status(thm)],[579, 572])).
% 37.01/23.70  tff(581,plain,
% 37.01/23.70      (![A: $i, B: $i, C: $i, D: $i] : (m2_cat_1(k12_isocat_2(A, B, C, D), A, C) | (~m2_cat_1(D, A, k11_cat_2(B, C))) | (~v2_cat_1(A)) | (~l1_cat_1(A)) | (~v2_cat_1(B)) | (~l1_cat_1(B)) | (~v2_cat_1(C)) | (~l1_cat_1(C)))),
% 37.01/23.70      inference(modus_ponens,[status(thm)],[580, 570])).
% 37.01/23.70  tff(582,plain,
% 37.01/23.70      (((~![A: $i, B: $i, C: $i, D: $i] : (m2_cat_1(k12_isocat_2(A, B, C, D), A, C) | (~m2_cat_1(D, A, k11_cat_2(B, C))) | (~v2_cat_1(A)) | (~l1_cat_1(A)) | (~v2_cat_1(B)) | (~l1_cat_1(B)) | (~v2_cat_1(C)) | (~l1_cat_1(C)))) | ((~m2_cat_1(D!3, 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(k12_isocat_2(A!0, B!1, C!2, D!3), A!0, C!2))) <=> ((~![A: $i, B: $i, C: $i, D: $i] : (m2_cat_1(k12_isocat_2(A, B, C, D), A, C) | (~m2_cat_1(D, A, k11_cat_2(B, C))) | (~v2_cat_1(A)) | (~l1_cat_1(A)) | (~v2_cat_1(B)) | (~l1_cat_1(B)) | (~v2_cat_1(C)) | (~l1_cat_1(C)))) | (~m2_cat_1(D!3, 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(k12_isocat_2(A!0, B!1, C!2, D!3), A!0, C!2))),
% 37.01/23.70      inference(rewrite,[status(thm)],[])).
% 37.01/23.70  tff(583,plain,
% 37.01/23.70      ((m2_cat_1(k12_isocat_2(A!0, B!1, C!2, D!3), A!0, C!2) | (~m2_cat_1(D!3, 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))) | (~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(k12_isocat_2(A!0, B!1, C!2, D!3), A!0, C!2))),
% 37.01/23.70      inference(rewrite,[status(thm)],[])).
% 37.01/23.70  tff(584,plain,
% 37.01/23.70      (((~![A: $i, B: $i, C: $i, D: $i] : (m2_cat_1(k12_isocat_2(A, B, C, D), A, C) | (~m2_cat_1(D, A, k11_cat_2(B, C))) | (~v2_cat_1(A)) | (~l1_cat_1(A)) | (~v2_cat_1(B)) | (~l1_cat_1(B)) | (~v2_cat_1(C)) | (~l1_cat_1(C)))) | (m2_cat_1(k12_isocat_2(A!0, B!1, C!2, D!3), A!0, C!2) | (~m2_cat_1(D!3, 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)))) <=> ((~![A: $i, B: $i, C: $i, D: $i] : (m2_cat_1(k12_isocat_2(A, B, C, D), A, C) | (~m2_cat_1(D, A, k11_cat_2(B, C))) | (~v2_cat_1(A)) | (~l1_cat_1(A)) | (~v2_cat_1(B)) | (~l1_cat_1(B)) | (~v2_cat_1(C)) | (~l1_cat_1(C)))) | ((~m2_cat_1(D!3, 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(k12_isocat_2(A!0, B!1, C!2, D!3), A!0, C!2)))),
% 37.01/23.70      inference(monotonicity,[status(thm)],[583])).
% 37.01/23.70  tff(585,plain,
% 37.01/23.70      (((~![A: $i, B: $i, C: $i, D: $i] : (m2_cat_1(k12_isocat_2(A, B, C, D), A, C) | (~m2_cat_1(D, A, k11_cat_2(B, C))) | (~v2_cat_1(A)) | (~l1_cat_1(A)) | (~v2_cat_1(B)) | (~l1_cat_1(B)) | (~v2_cat_1(C)) | (~l1_cat_1(C)))) | (m2_cat_1(k12_isocat_2(A!0, B!1, C!2, D!3), A!0, C!2) | (~m2_cat_1(D!3, 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)))) <=> ((~![A: $i, B: $i, C: $i, D: $i] : (m2_cat_1(k12_isocat_2(A, B, C, D), A, C) | (~m2_cat_1(D, A, k11_cat_2(B, C))) | (~v2_cat_1(A)) | (~l1_cat_1(A)) | (~v2_cat_1(B)) | (~l1_cat_1(B)) | (~v2_cat_1(C)) | (~l1_cat_1(C)))) | (~m2_cat_1(D!3, 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(k12_isocat_2(A!0, B!1, C!2, D!3), A!0, C!2))),
% 37.01/23.71      inference(transitivity,[status(thm)],[584, 582])).
% 37.01/23.71  tff(586,plain,
% 37.01/23.71      ((~![A: $i, B: $i, C: $i, D: $i] : (m2_cat_1(k12_isocat_2(A, B, C, D), A, C) | (~m2_cat_1(D, A, k11_cat_2(B, C))) | (~v2_cat_1(A)) | (~l1_cat_1(A)) | (~v2_cat_1(B)) | (~l1_cat_1(B)) | (~v2_cat_1(C)) | (~l1_cat_1(C)))) | (m2_cat_1(k12_isocat_2(A!0, B!1, C!2, D!3), A!0, C!2) | (~m2_cat_1(D!3, 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)))),
% 37.01/23.71      inference(quant_inst,[status(thm)],[])).
% 37.01/23.71  tff(587,plain,
% 37.01/23.71      ((~![A: $i, B: $i, C: $i, D: $i] : (m2_cat_1(k12_isocat_2(A, B, C, D), A, C) | (~m2_cat_1(D, A, k11_cat_2(B, C))) | (~v2_cat_1(A)) | (~l1_cat_1(A)) | (~v2_cat_1(B)) | (~l1_cat_1(B)) | (~v2_cat_1(C)) | (~l1_cat_1(C)))) | (~m2_cat_1(D!3, 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(k12_isocat_2(A!0, B!1, C!2, D!3), A!0, C!2)),
% 37.01/23.71      inference(modus_ponens,[status(thm)],[586, 585])).
% 37.01/23.71  tff(588,plain,
% 37.01/23.71      (m2_cat_1(k12_isocat_2(A!0, B!1, C!2, D!3), A!0, C!2)),
% 37.01/23.71      inference(unit_resolution,[status(thm)],[587, 71, 70, 40, 39, 38, 37, 69, 581])).
% 37.01/23.71  tff(589,plain,
% 37.01/23.71      (((~![A: $i, B: $i, C: $i] : ((k7_nattra_1(A, B, C) = k4_nattra_1(A, B, C)) | (~m2_cat_1(C, A, B)) | (~v2_cat_1(A)) | (~l1_cat_1(A)) | (~v2_cat_1(B)) | (~l1_cat_1(B)))) | ((~v2_cat_1(A!0)) | (~l1_cat_1(A!0)) | (~v2_cat_1(C!2)) | (~l1_cat_1(C!2)) | (~m2_cat_1(k12_isocat_2(A!0, B!1, C!2, D!3), A!0, C!2)) | (k7_nattra_1(A!0, C!2, k12_isocat_2(A!0, B!1, C!2, D!3)) = k4_nattra_1(A!0, C!2, k12_isocat_2(A!0, B!1, C!2, D!3))))) <=> ((~![A: $i, B: $i, C: $i] : ((k7_nattra_1(A, B, C) = k4_nattra_1(A, B, C)) | (~m2_cat_1(C, A, B)) | (~v2_cat_1(A)) | (~l1_cat_1(A)) | (~v2_cat_1(B)) | (~l1_cat_1(B)))) | (~v2_cat_1(A!0)) | (~l1_cat_1(A!0)) | (~v2_cat_1(C!2)) | (~l1_cat_1(C!2)) | (~m2_cat_1(k12_isocat_2(A!0, B!1, C!2, D!3), A!0, C!2)) | (k7_nattra_1(A!0, C!2, k12_isocat_2(A!0, B!1, C!2, D!3)) = k4_nattra_1(A!0, C!2, k12_isocat_2(A!0, B!1, C!2, D!3))))),
% 37.01/23.71      inference(rewrite,[status(thm)],[])).
% 37.01/23.71  tff(590,plain,
% 37.01/23.71      (((k7_nattra_1(A!0, C!2, k12_isocat_2(A!0, B!1, C!2, D!3)) = k4_nattra_1(A!0, C!2, k12_isocat_2(A!0, B!1, C!2, D!3))) | (~m2_cat_1(k12_isocat_2(A!0, B!1, C!2, D!3), A!0, C!2)) | (~v2_cat_1(A!0)) | (~l1_cat_1(A!0)) | (~v2_cat_1(C!2)) | (~l1_cat_1(C!2))) <=> ((~v2_cat_1(A!0)) | (~l1_cat_1(A!0)) | (~v2_cat_1(C!2)) | (~l1_cat_1(C!2)) | (~m2_cat_1(k12_isocat_2(A!0, B!1, C!2, D!3), A!0, C!2)) | (k7_nattra_1(A!0, C!2, k12_isocat_2(A!0, B!1, C!2, D!3)) = k4_nattra_1(A!0, C!2, k12_isocat_2(A!0, B!1, C!2, D!3))))),
% 37.01/23.71      inference(rewrite,[status(thm)],[])).
% 37.01/23.71  tff(591,plain,
% 37.01/23.71      (((~![A: $i, B: $i, C: $i] : ((k7_nattra_1(A, B, C) = k4_nattra_1(A, B, C)) | (~m2_cat_1(C, A, B)) | (~v2_cat_1(A)) | (~l1_cat_1(A)) | (~v2_cat_1(B)) | (~l1_cat_1(B)))) | ((k7_nattra_1(A!0, C!2, k12_isocat_2(A!0, B!1, C!2, D!3)) = k4_nattra_1(A!0, C!2, k12_isocat_2(A!0, B!1, C!2, D!3))) | (~m2_cat_1(k12_isocat_2(A!0, B!1, C!2, D!3), A!0, C!2)) | (~v2_cat_1(A!0)) | (~l1_cat_1(A!0)) | (~v2_cat_1(C!2)) | (~l1_cat_1(C!2)))) <=> ((~![A: $i, B: $i, C: $i] : ((k7_nattra_1(A, B, C) = k4_nattra_1(A, B, C)) | (~m2_cat_1(C, A, B)) | (~v2_cat_1(A)) | (~l1_cat_1(A)) | (~v2_cat_1(B)) | (~l1_cat_1(B)))) | ((~v2_cat_1(A!0)) | (~l1_cat_1(A!0)) | (~v2_cat_1(C!2)) | (~l1_cat_1(C!2)) | (~m2_cat_1(k12_isocat_2(A!0, B!1, C!2, D!3), A!0, C!2)) | (k7_nattra_1(A!0, C!2, k12_isocat_2(A!0, B!1, C!2, D!3)) = k4_nattra_1(A!0, C!2, k12_isocat_2(A!0, B!1, C!2, D!3)))))),
% 37.01/23.71      inference(monotonicity,[status(thm)],[590])).
% 37.01/23.71  tff(592,plain,
% 37.01/23.71      (((~![A: $i, B: $i, C: $i] : ((k7_nattra_1(A, B, C) = k4_nattra_1(A, B, C)) | (~m2_cat_1(C, A, B)) | (~v2_cat_1(A)) | (~l1_cat_1(A)) | (~v2_cat_1(B)) | (~l1_cat_1(B)))) | ((k7_nattra_1(A!0, C!2, k12_isocat_2(A!0, B!1, C!2, D!3)) = k4_nattra_1(A!0, C!2, k12_isocat_2(A!0, B!1, C!2, D!3))) | (~m2_cat_1(k12_isocat_2(A!0, B!1, C!2, D!3), A!0, C!2)) | (~v2_cat_1(A!0)) | (~l1_cat_1(A!0)) | (~v2_cat_1(C!2)) | (~l1_cat_1(C!2)))) <=> ((~![A: $i, B: $i, C: $i] : ((k7_nattra_1(A, B, C) = k4_nattra_1(A, B, C)) | (~m2_cat_1(C, A, B)) | (~v2_cat_1(A)) | (~l1_cat_1(A)) | (~v2_cat_1(B)) | (~l1_cat_1(B)))) | (~v2_cat_1(A!0)) | (~l1_cat_1(A!0)) | (~v2_cat_1(C!2)) | (~l1_cat_1(C!2)) | (~m2_cat_1(k12_isocat_2(A!0, B!1, C!2, D!3), A!0, C!2)) | (k7_nattra_1(A!0, C!2, k12_isocat_2(A!0, B!1, C!2, D!3)) = k4_nattra_1(A!0, C!2, k12_isocat_2(A!0, B!1, C!2, D!3))))),
% 37.01/23.71      inference(transitivity,[status(thm)],[591, 589])).
% 37.01/23.71  tff(593,plain,
% 37.01/23.71      ((~![A: $i, B: $i, C: $i] : ((k7_nattra_1(A, B, C) = k4_nattra_1(A, B, C)) | (~m2_cat_1(C, A, B)) | (~v2_cat_1(A)) | (~l1_cat_1(A)) | (~v2_cat_1(B)) | (~l1_cat_1(B)))) | ((k7_nattra_1(A!0, C!2, k12_isocat_2(A!0, B!1, C!2, D!3)) = k4_nattra_1(A!0, C!2, k12_isocat_2(A!0, B!1, C!2, D!3))) | (~m2_cat_1(k12_isocat_2(A!0, B!1, C!2, D!3), A!0, C!2)) | (~v2_cat_1(A!0)) | (~l1_cat_1(A!0)) | (~v2_cat_1(C!2)) | (~l1_cat_1(C!2)))),
% 37.01/23.71      inference(quant_inst,[status(thm)],[])).
% 37.01/23.71  tff(594,plain,
% 37.01/23.71      ((~![A: $i, B: $i, C: $i] : ((k7_nattra_1(A, B, C) = k4_nattra_1(A, B, C)) | (~m2_cat_1(C, A, B)) | (~v2_cat_1(A)) | (~l1_cat_1(A)) | (~v2_cat_1(B)) | (~l1_cat_1(B)))) | (~v2_cat_1(A!0)) | (~l1_cat_1(A!0)) | (~v2_cat_1(C!2)) | (~l1_cat_1(C!2)) | (~m2_cat_1(k12_isocat_2(A!0, B!1, C!2, D!3), A!0, C!2)) | (k7_nattra_1(A!0, C!2, k12_isocat_2(A!0, B!1, C!2, D!3)) = k4_nattra_1(A!0, C!2, k12_isocat_2(A!0, B!1, C!2, D!3)))),
% 37.01/23.71      inference(modus_ponens,[status(thm)],[593, 592])).
% 37.01/23.71  tff(595,plain,
% 37.01/23.71      (k7_nattra_1(A!0, C!2, k12_isocat_2(A!0, B!1, C!2, D!3)) = k4_nattra_1(A!0, C!2, k12_isocat_2(A!0, B!1, C!2, D!3))),
% 37.01/23.71      inference(unit_resolution,[status(thm)],[594, 71, 70, 38, 37, 67, 588])).
% 37.01/23.71  tff(596,plain,
% 37.01/23.71      (k4_nattra_1(A!0, C!2, k12_isocat_2(A!0, B!1, C!2, D!3)) = k7_nattra_1(A!0, C!2, k12_isocat_2(A!0, B!1, C!2, D!3))),
% 37.01/23.71      inference(symmetry,[status(thm)],[595])).
% 37.01/23.71  tff(597,plain,
% 37.01/23.71      (r4_nattra_1(u1_cat_1(A!0), u2_cat_1(C!2), u1_cat_1(A!0), u2_cat_1(C!2), k4_nattra_1(A!0, C!2, k12_isocat_2(A!0, B!1, C!2, D!3)), k6_isocat_1(A!0, k11_cat_2(B!1, C!2), C!2, D!3, D!3, k7_nattra_1(A!0, k11_cat_2(B!1, C!2), D!3), 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), k7_nattra_1(A!0, C!2, k12_isocat_2(A!0, B!1, C!2, D!3)), k14_isocat_2(A!0, B!1, C!2, D!3, D!3, k7_nattra_1(A!0, k11_cat_2(B!1, C!2), D!3)))),
% 37.01/23.71      inference(monotonicity,[status(thm)],[596, 568])).
% 37.01/23.71  tff(598,plain,
% 37.01/23.71      (v1_funct_1(k6_isocat_1(A!0, k11_cat_2(B!1, C!2), C!2, D!3, D!3, k7_nattra_1(A!0, k11_cat_2(B!1, C!2), D!3), k17_cat_2(B!1, C!2))) <=> v1_funct_1(k14_isocat_2(A!0, B!1, C!2, D!3, D!3, k7_nattra_1(A!0, k11_cat_2(B!1, C!2), D!3)))),
% 37.01/23.71      inference(monotonicity,[status(thm)],[568])).
% 37.01/23.71  tff(599,plain,
% 37.01/23.71      (v1_funct_1(k14_isocat_2(A!0, B!1, C!2, D!3, D!3, k7_nattra_1(A!0, k11_cat_2(B!1, C!2), D!3))) <=> v1_funct_1(k6_isocat_1(A!0, k11_cat_2(B!1, C!2), C!2, D!3, D!3, k7_nattra_1(A!0, k11_cat_2(B!1, C!2), D!3), k17_cat_2(B!1, C!2)))),
% 37.01/23.71      inference(symmetry,[status(thm)],[598])).
% 37.01/23.71  tff(600,plain,
% 37.01/23.71      (k14_isocat_2(A!0, B!1, C!2, D!3, D!3, k7_nattra_1(A!0, k11_cat_2(B!1, C!2), D!3)) = k14_isocat_2(A!0, B!1, C!2, D!3, D!3, k4_nattra_1(A!0, k11_cat_2(B!1, C!2), D!3))),
% 37.01/23.71      inference(symmetry,[status(thm)],[501])).
% 37.01/23.71  tff(601,plain,
% 37.01/23.71      (m2_nattra_1(k14_isocat_2(A!0, B!1, C!2, D!3, D!3, k7_nattra_1(A!0, k11_cat_2(B!1, C!2), D!3)), A!0, C!2, k12_isocat_2(A!0, B!1, C!2, D!3), k12_isocat_2(A!0, B!1, C!2, D!3)) <=> m2_nattra_1(k14_isocat_2(A!0, B!1, C!2, D!3, D!3, k4_nattra_1(A!0, k11_cat_2(B!1, C!2), D!3)), A!0, C!2, k12_isocat_2(A!0, B!1, C!2, D!3), k12_isocat_2(A!0, B!1, C!2, D!3))),
% 37.01/23.71      inference(monotonicity,[status(thm)],[600])).
% 37.01/23.71  tff(602,plain,
% 37.01/23.71      (m2_nattra_1(k14_isocat_2(A!0, B!1, C!2, D!3, D!3, k4_nattra_1(A!0, k11_cat_2(B!1, C!2), D!3)), A!0, C!2, k12_isocat_2(A!0, B!1, C!2, D!3), k12_isocat_2(A!0, B!1, C!2, D!3)) <=> m2_nattra_1(k14_isocat_2(A!0, B!1, C!2, D!3, D!3, k7_nattra_1(A!0, k11_cat_2(B!1, C!2), D!3)), A!0, C!2, k12_isocat_2(A!0, B!1, C!2, D!3), k12_isocat_2(A!0, B!1, C!2, D!3))),
% 37.01/23.71      inference(symmetry,[status(thm)],[601])).
% 37.01/23.71  tff(603,plain,
% 37.01/23.71      (^[A: $i, B: $i, C: $i, D: $i, E: $i, F: $i] : refl((m2_nattra_1(k14_isocat_2(A, B, C, D, E, F), A, C, k12_isocat_2(A, B, C, D), k12_isocat_2(A, B, C, E)) | (~m2_nattra_1(F, A, k11_cat_2(B, C), D, E)) | (~v2_cat_1(C)) | (~l1_cat_1(C)) | (~v2_cat_1(B)) | (~l1_cat_1(B)) | (~v2_cat_1(A)) | (~l1_cat_1(A)) | (~m2_cat_1(D, A, k11_cat_2(B, C))) | (~m2_cat_1(E, A, k11_cat_2(B, C)))) <=> (m2_nattra_1(k14_isocat_2(A, B, C, D, E, F), A, C, k12_isocat_2(A, B, C, D), k12_isocat_2(A, B, C, E)) | (~m2_nattra_1(F, A, k11_cat_2(B, C), D, E)) | (~v2_cat_1(C)) | (~l1_cat_1(C)) | (~v2_cat_1(B)) | (~l1_cat_1(B)) | (~v2_cat_1(A)) | (~l1_cat_1(A)) | (~m2_cat_1(D, A, k11_cat_2(B, C))) | (~m2_cat_1(E, A, k11_cat_2(B, C)))))),
% 37.01/23.71      inference(bind,[status(th)],[])).
% 37.01/23.71  tff(604,plain,
% 37.01/23.71      (![A: $i, B: $i, C: $i, D: $i, E: $i, F: $i] : (m2_nattra_1(k14_isocat_2(A, B, C, D, E, F), A, C, k12_isocat_2(A, B, C, D), k12_isocat_2(A, B, C, E)) | (~m2_nattra_1(F, A, k11_cat_2(B, C), D, E)) | (~v2_cat_1(C)) | (~l1_cat_1(C)) | (~v2_cat_1(B)) | (~l1_cat_1(B)) | (~v2_cat_1(A)) | (~l1_cat_1(A)) | (~m2_cat_1(D, A, k11_cat_2(B, C))) | (~m2_cat_1(E, A, k11_cat_2(B, C)))) <=> ![A: $i, B: $i, C: $i, D: $i, E: $i, F: $i] : (m2_nattra_1(k14_isocat_2(A, B, C, D, E, F), A, C, k12_isocat_2(A, B, C, D), k12_isocat_2(A, B, C, E)) | (~m2_nattra_1(F, A, k11_cat_2(B, C), D, E)) | (~v2_cat_1(C)) | (~l1_cat_1(C)) | (~v2_cat_1(B)) | (~l1_cat_1(B)) | (~v2_cat_1(A)) | (~l1_cat_1(A)) | (~m2_cat_1(D, A, k11_cat_2(B, C))) | (~m2_cat_1(E, A, k11_cat_2(B, C))))),
% 37.01/23.71      inference(quant_intro,[status(thm)],[603])).
% 37.01/23.71  tff(605,plain,
% 37.01/23.71      (^[A: $i, B: $i, C: $i, D: $i, E: $i, F: $i] : trans(monotonicity(trans(monotonicity(rewrite((v2_cat_1(A) & l1_cat_1(A) & v2_cat_1(B) & l1_cat_1(B) & v2_cat_1(C) & l1_cat_1(C) & m2_cat_1(D, A, k11_cat_2(B, C)) & m2_cat_1(E, A, k11_cat_2(B, C)) & m2_nattra_1(F, A, k11_cat_2(B, C), D, E)) <=> (~((~m2_nattra_1(F, A, k11_cat_2(B, C), D, E)) | (~v2_cat_1(C)) | (~l1_cat_1(C)) | (~v2_cat_1(B)) | (~l1_cat_1(B)) | (~v2_cat_1(A)) | (~l1_cat_1(A)) | (~m2_cat_1(D, A, k11_cat_2(B, C))) | (~m2_cat_1(E, A, k11_cat_2(B, C)))))), ((~(v2_cat_1(A) & l1_cat_1(A) & v2_cat_1(B) & l1_cat_1(B) & v2_cat_1(C) & l1_cat_1(C) & m2_cat_1(D, A, k11_cat_2(B, C)) & m2_cat_1(E, A, k11_cat_2(B, C)) & m2_nattra_1(F, A, k11_cat_2(B, C), D, E))) <=> (~(~((~m2_nattra_1(F, A, k11_cat_2(B, C), D, E)) | (~v2_cat_1(C)) | (~l1_cat_1(C)) | (~v2_cat_1(B)) | (~l1_cat_1(B)) | (~v2_cat_1(A)) | (~l1_cat_1(A)) | (~m2_cat_1(D, A, k11_cat_2(B, C))) | (~m2_cat_1(E, A, k11_cat_2(B, C)))))))), rewrite((~(~((~m2_nattra_1(F, A, k11_cat_2(B, C), D, E)) | (~v2_cat_1(C)) | (~l1_cat_1(C)) | (~v2_cat_1(B)) | (~l1_cat_1(B)) | (~v2_cat_1(A)) | (~l1_cat_1(A)) | (~m2_cat_1(D, A, k11_cat_2(B, C))) | (~m2_cat_1(E, A, k11_cat_2(B, C)))))) <=> ((~m2_nattra_1(F, A, k11_cat_2(B, C), D, E)) | (~v2_cat_1(C)) | (~l1_cat_1(C)) | (~v2_cat_1(B)) | (~l1_cat_1(B)) | (~v2_cat_1(A)) | (~l1_cat_1(A)) | (~m2_cat_1(D, A, k11_cat_2(B, C))) | (~m2_cat_1(E, A, k11_cat_2(B, C))))), ((~(v2_cat_1(A) & l1_cat_1(A) & v2_cat_1(B) & l1_cat_1(B) & v2_cat_1(C) & l1_cat_1(C) & m2_cat_1(D, A, k11_cat_2(B, C)) & m2_cat_1(E, A, k11_cat_2(B, C)) & m2_nattra_1(F, A, k11_cat_2(B, C), D, E))) <=> ((~m2_nattra_1(F, A, k11_cat_2(B, C), D, E)) | (~v2_cat_1(C)) | (~l1_cat_1(C)) | (~v2_cat_1(B)) | (~l1_cat_1(B)) | (~v2_cat_1(A)) | (~l1_cat_1(A)) | (~m2_cat_1(D, A, k11_cat_2(B, C))) | (~m2_cat_1(E, A, k11_cat_2(B, C)))))), (((~(v2_cat_1(A) & l1_cat_1(A) & v2_cat_1(B) & l1_cat_1(B) & v2_cat_1(C) & l1_cat_1(C) & m2_cat_1(D, A, k11_cat_2(B, C)) & m2_cat_1(E, A, k11_cat_2(B, C)) & m2_nattra_1(F, A, k11_cat_2(B, C), D, E))) | m2_nattra_1(k14_isocat_2(A, B, C, D, E, F), A, C, k12_isocat_2(A, B, C, D), k12_isocat_2(A, B, C, E))) <=> (((~m2_nattra_1(F, A, k11_cat_2(B, C), D, E)) | (~v2_cat_1(C)) | (~l1_cat_1(C)) | (~v2_cat_1(B)) | (~l1_cat_1(B)) | (~v2_cat_1(A)) | (~l1_cat_1(A)) | (~m2_cat_1(D, A, k11_cat_2(B, C))) | (~m2_cat_1(E, A, k11_cat_2(B, C)))) | m2_nattra_1(k14_isocat_2(A, B, C, D, E, F), A, C, k12_isocat_2(A, B, C, D), k12_isocat_2(A, B, C, E))))), rewrite((((~m2_nattra_1(F, A, k11_cat_2(B, C), D, E)) | (~v2_cat_1(C)) | (~l1_cat_1(C)) | (~v2_cat_1(B)) | (~l1_cat_1(B)) | (~v2_cat_1(A)) | (~l1_cat_1(A)) | (~m2_cat_1(D, A, k11_cat_2(B, C))) | (~m2_cat_1(E, A, k11_cat_2(B, C)))) | m2_nattra_1(k14_isocat_2(A, B, C, D, E, F), A, C, k12_isocat_2(A, B, C, D), k12_isocat_2(A, B, C, E))) <=> (m2_nattra_1(k14_isocat_2(A, B, C, D, E, F), A, C, k12_isocat_2(A, B, C, D), k12_isocat_2(A, B, C, E)) | (~m2_nattra_1(F, A, k11_cat_2(B, C), D, E)) | (~v2_cat_1(C)) | (~l1_cat_1(C)) | (~v2_cat_1(B)) | (~l1_cat_1(B)) | (~v2_cat_1(A)) | (~l1_cat_1(A)) | (~m2_cat_1(D, A, k11_cat_2(B, C))) | (~m2_cat_1(E, A, k11_cat_2(B, C))))), (((~(v2_cat_1(A) & l1_cat_1(A) & v2_cat_1(B) & l1_cat_1(B) & v2_cat_1(C) & l1_cat_1(C) & m2_cat_1(D, A, k11_cat_2(B, C)) & m2_cat_1(E, A, k11_cat_2(B, C)) & m2_nattra_1(F, A, k11_cat_2(B, C), D, E))) | m2_nattra_1(k14_isocat_2(A, B, C, D, E, F), A, C, k12_isocat_2(A, B, C, D), k12_isocat_2(A, B, C, E))) <=> (m2_nattra_1(k14_isocat_2(A, B, C, D, E, F), A, C, k12_isocat_2(A, B, C, D), k12_isocat_2(A, B, C, E)) | (~m2_nattra_1(F, A, k11_cat_2(B, C), D, E)) | (~v2_cat_1(C)) | (~l1_cat_1(C)) | (~v2_cat_1(B)) | (~l1_cat_1(B)) | (~v2_cat_1(A)) | (~l1_cat_1(A)) | (~m2_cat_1(D, A, k11_cat_2(B, C))) | (~m2_cat_1(E, A, k11_cat_2(B, C))))))),
% 37.01/23.71      inference(bind,[status(th)],[])).
% 37.01/23.71  tff(606,plain,
% 37.01/23.71      (![A: $i, B: $i, C: $i, D: $i, E: $i, F: $i] : ((~(v2_cat_1(A) & l1_cat_1(A) & v2_cat_1(B) & l1_cat_1(B) & v2_cat_1(C) & l1_cat_1(C) & m2_cat_1(D, A, k11_cat_2(B, C)) & m2_cat_1(E, A, k11_cat_2(B, C)) & m2_nattra_1(F, A, k11_cat_2(B, C), D, E))) | m2_nattra_1(k14_isocat_2(A, B, C, D, E, F), A, C, k12_isocat_2(A, B, C, D), k12_isocat_2(A, B, C, E))) <=> ![A: $i, B: $i, C: $i, D: $i, E: $i, F: $i] : (m2_nattra_1(k14_isocat_2(A, B, C, D, E, F), A, C, k12_isocat_2(A, B, C, D), k12_isocat_2(A, B, C, E)) | (~m2_nattra_1(F, A, k11_cat_2(B, C), D, E)) | (~v2_cat_1(C)) | (~l1_cat_1(C)) | (~v2_cat_1(B)) | (~l1_cat_1(B)) | (~v2_cat_1(A)) | (~l1_cat_1(A)) | (~m2_cat_1(D, A, k11_cat_2(B, C))) | (~m2_cat_1(E, A, k11_cat_2(B, C))))),
% 37.01/23.71      inference(quant_intro,[status(thm)],[605])).
% 37.01/23.71  tff(607,plain,
% 37.01/23.71      (![A: $i, B: $i, C: $i, D: $i, E: $i, F: $i] : ((~(v2_cat_1(A) & l1_cat_1(A) & v2_cat_1(B) & l1_cat_1(B) & v2_cat_1(C) & l1_cat_1(C) & m2_cat_1(D, A, k11_cat_2(B, C)) & m2_cat_1(E, A, k11_cat_2(B, C)) & m2_nattra_1(F, A, k11_cat_2(B, C), D, E))) | m2_nattra_1(k14_isocat_2(A, B, C, D, E, F), A, C, k12_isocat_2(A, B, C, D), k12_isocat_2(A, B, C, E))) <=> ![A: $i, B: $i, C: $i, D: $i, E: $i, F: $i] : ((~(v2_cat_1(A) & l1_cat_1(A) & v2_cat_1(B) & l1_cat_1(B) & v2_cat_1(C) & l1_cat_1(C) & m2_cat_1(D, A, k11_cat_2(B, C)) & m2_cat_1(E, A, k11_cat_2(B, C)) & m2_nattra_1(F, A, k11_cat_2(B, C), D, E))) | m2_nattra_1(k14_isocat_2(A, B, C, D, E, F), A, C, k12_isocat_2(A, B, C, D), k12_isocat_2(A, B, C, E)))),
% 37.01/23.71      inference(rewrite,[status(thm)],[])).
% 37.01/23.71  tff(608,plain,
% 37.01/23.71      (^[A: $i, B: $i, C: $i, D: $i, E: $i, F: $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)) & v2_cat_1(C)) <=> ((v2_cat_1(A) & l1_cat_1(A) & v2_cat_1(B) & l1_cat_1(B)) & v2_cat_1(C)))), rewrite(((v2_cat_1(A) & l1_cat_1(A) & v2_cat_1(B) & l1_cat_1(B)) & v2_cat_1(C)) <=> (v2_cat_1(A) & l1_cat_1(A) & v2_cat_1(B) & l1_cat_1(B) & v2_cat_1(C))), (((((v2_cat_1(A) & l1_cat_1(A)) & v2_cat_1(B)) & l1_cat_1(B)) & v2_cat_1(C)) <=> (v2_cat_1(A) & l1_cat_1(A) & v2_cat_1(B) & l1_cat_1(B) & v2_cat_1(C)))), ((((((v2_cat_1(A) & l1_cat_1(A)) & v2_cat_1(B)) & l1_cat_1(B)) & v2_cat_1(C)) & l1_cat_1(C)) <=> ((v2_cat_1(A) & l1_cat_1(A) & v2_cat_1(B) & l1_cat_1(B) & v2_cat_1(C)) & l1_cat_1(C)))), rewrite(((v2_cat_1(A) & l1_cat_1(A) & v2_cat_1(B) & l1_cat_1(B) & v2_cat_1(C)) & l1_cat_1(C)) <=> (v2_cat_1(A) & l1_cat_1(A) & v2_cat_1(B) & l1_cat_1(B) & v2_cat_1(C) & l1_cat_1(C))), ((((((v2_cat_1(A) & l1_cat_1(A)) & v2_cat_1(B)) & l1_cat_1(B)) & v2_cat_1(C)) & l1_cat_1(C)) <=> (v2_cat_1(A) & l1_cat_1(A) & v2_cat_1(B) & l1_cat_1(B) & v2_cat_1(C) & l1_cat_1(C)))), (((((((v2_cat_1(A) & l1_cat_1(A)) & v2_cat_1(B)) & l1_cat_1(B)) & v2_cat_1(C)) & l1_cat_1(C)) & m2_cat_1(D, A, k11_cat_2(B, C))) <=> ((v2_cat_1(A) & l1_cat_1(A) & v2_cat_1(B) & l1_cat_1(B) & v2_cat_1(C) & l1_cat_1(C)) & m2_cat_1(D, A, k11_cat_2(B, C))))), rewrite(((v2_cat_1(A) & l1_cat_1(A) & v2_cat_1(B) & l1_cat_1(B) & v2_cat_1(C) & l1_cat_1(C)) & m2_cat_1(D, A, k11_cat_2(B, C))) <=> (v2_cat_1(A) & l1_cat_1(A) & v2_cat_1(B) & l1_cat_1(B) & v2_cat_1(C) & l1_cat_1(C) & m2_cat_1(D, A, k11_cat_2(B, C)))), (((((((v2_cat_1(A) & l1_cat_1(A)) & v2_cat_1(B)) & l1_cat_1(B)) & v2_cat_1(C)) & l1_cat_1(C)) & m2_cat_1(D, A, k11_cat_2(B, C))) <=> (v2_cat_1(A) & l1_cat_1(A) & v2_cat_1(B) & l1_cat_1(B) & v2_cat_1(C) & l1_cat_1(C) & m2_cat_1(D, A, k11_cat_2(B, C))))), ((((((((v2_cat_1(A) & l1_cat_1(A)) & v2_cat_1(B)) & l1_cat_1(B)) & v2_cat_1(C)) & l1_cat_1(C)) & m2_cat_1(D, A, k11_cat_2(B, C))) & m2_cat_1(E, A, k11_cat_2(B, C))) <=> ((v2_cat_1(A) & l1_cat_1(A) & v2_cat_1(B) & l1_cat_1(B) & v2_cat_1(C) & l1_cat_1(C) & m2_cat_1(D, A, k11_cat_2(B, C))) & m2_cat_1(E, A, k11_cat_2(B, C))))), rewrite(((v2_cat_1(A) & l1_cat_1(A) & v2_cat_1(B) & l1_cat_1(B) & v2_cat_1(C) & l1_cat_1(C) & m2_cat_1(D, A, k11_cat_2(B, C))) & m2_cat_1(E, A, k11_cat_2(B, C))) <=> (v2_cat_1(A) & l1_cat_1(A) & v2_cat_1(B) & l1_cat_1(B) & v2_cat_1(C) & l1_cat_1(C) & m2_cat_1(D, A, k11_cat_2(B, C)) & m2_cat_1(E, A, k11_cat_2(B, C)))), ((((((((v2_cat_1(A) & l1_cat_1(A)) & v2_cat_1(B)) & l1_cat_1(B)) & v2_cat_1(C)) & l1_cat_1(C)) & m2_cat_1(D, A, k11_cat_2(B, C))) & m2_cat_1(E, A, k11_cat_2(B, C))) <=> (v2_cat_1(A) & l1_cat_1(A) & v2_cat_1(B) & l1_cat_1(B) & v2_cat_1(C) & l1_cat_1(C) & m2_cat_1(D, A, k11_cat_2(B, C)) & m2_cat_1(E, A, k11_cat_2(B, C))))), (((((((((v2_cat_1(A) & l1_cat_1(A)) & v2_cat_1(B)) & l1_cat_1(B)) & v2_cat_1(C)) & l1_cat_1(C)) & m2_cat_1(D, A, k11_cat_2(B, C))) & m2_cat_1(E, A, k11_cat_2(B, C))) & m2_nattra_1(F, A, k11_cat_2(B, C), D, E)) <=> ((v2_cat_1(A) & l1_cat_1(A) & v2_cat_1(B) & l1_cat_1(B) & v2_cat_1(C) & l1_cat_1(C) & m2_cat_1(D, A, k11_cat_2(B, C)) & m2_cat_1(E, A, k11_cat_2(B, C))) & m2_nattra_1(F, A, k11_cat_2(B, C), D, E)))), rewrite(((v2_cat_1(A) & l1_cat_1(A) & v2_cat_1(B) & l1_cat_1(B) & v2_cat_1(C) & l1_cat_1(C) & m2_cat_1(D, A, k11_cat_2(B, C)) & m2_cat_1(E, A, k11_cat_2(B, C))) & m2_nattra_1(F, A, k11_cat_2(B, C), D, E)) <=> (v2_cat_1(A) & l1_cat_1(A) & v2_cat_1(B) & l1_cat_1(B) & v2_cat_1(C) & l1_cat_1(C) & m2_cat_1(D, A, k11_cat_2(B, C)) & m2_cat_1(E, A, k11_cat_2(B, C)) & m2_nattra_1(F, A, k11_cat_2(B, C), D, E))), (((((((((v2_cat_1(A) & l1_cat_1(A)) & v2_cat_1(B)) & l1_cat_1(B)) & v2_cat_1(C)) & l1_cat_1(C)) & m2_cat_1(D, A, k11_cat_2(B, C))) & m2_cat_1(E, A, k11_cat_2(B, C))) & m2_nattra_1(F, A, k11_cat_2(B, C), D, E)) <=> (v2_cat_1(A) & l1_cat_1(A) & v2_cat_1(B) & l1_cat_1(B) & v2_cat_1(C) & l1_cat_1(C) & m2_cat_1(D, A, k11_cat_2(B, C)) & m2_cat_1(E, A, k11_cat_2(B, C)) & m2_nattra_1(F, A, k11_cat_2(B, C), D, E)))), ((((((((((v2_cat_1(A) & l1_cat_1(A)) & v2_cat_1(B)) & l1_cat_1(B)) & v2_cat_1(C)) & l1_cat_1(C)) & m2_cat_1(D, A, k11_cat_2(B, C))) & m2_cat_1(E, A, k11_cat_2(B, C))) & m2_nattra_1(F, A, k11_cat_2(B, C), D, E)) => m2_nattra_1(k14_isocat_2(A, B, C, D, E, F), A, C, k12_isocat_2(A, B, C, D), k12_isocat_2(A, B, C, E))) <=> ((v2_cat_1(A) & l1_cat_1(A) & v2_cat_1(B) & l1_cat_1(B) & v2_cat_1(C) & l1_cat_1(C) & m2_cat_1(D, A, k11_cat_2(B, C)) & m2_cat_1(E, A, k11_cat_2(B, C)) & m2_nattra_1(F, A, k11_cat_2(B, C), D, E)) => m2_nattra_1(k14_isocat_2(A, B, C, D, E, F), A, C, k12_isocat_2(A, B, C, D), k12_isocat_2(A, B, C, E))))), rewrite(((v2_cat_1(A) & l1_cat_1(A) & v2_cat_1(B) & l1_cat_1(B) & v2_cat_1(C) & l1_cat_1(C) & m2_cat_1(D, A, k11_cat_2(B, C)) & m2_cat_1(E, A, k11_cat_2(B, C)) & m2_nattra_1(F, A, k11_cat_2(B, C), D, E)) => m2_nattra_1(k14_isocat_2(A, B, C, D, E, F), A, C, k12_isocat_2(A, B, C, D), k12_isocat_2(A, B, C, E))) <=> ((~(v2_cat_1(A) & l1_cat_1(A) & v2_cat_1(B) & l1_cat_1(B) & v2_cat_1(C) & l1_cat_1(C) & m2_cat_1(D, A, k11_cat_2(B, C)) & m2_cat_1(E, A, k11_cat_2(B, C)) & m2_nattra_1(F, A, k11_cat_2(B, C), D, E))) | m2_nattra_1(k14_isocat_2(A, B, C, D, E, F), A, C, k12_isocat_2(A, B, C, D), k12_isocat_2(A, B, C, E)))), ((((((((((v2_cat_1(A) & l1_cat_1(A)) & v2_cat_1(B)) & l1_cat_1(B)) & v2_cat_1(C)) & l1_cat_1(C)) & m2_cat_1(D, A, k11_cat_2(B, C))) & m2_cat_1(E, A, k11_cat_2(B, C))) & m2_nattra_1(F, A, k11_cat_2(B, C), D, E)) => m2_nattra_1(k14_isocat_2(A, B, C, D, E, F), A, C, k12_isocat_2(A, B, C, D), k12_isocat_2(A, B, C, E))) <=> ((~(v2_cat_1(A) & l1_cat_1(A) & v2_cat_1(B) & l1_cat_1(B) & v2_cat_1(C) & l1_cat_1(C) & m2_cat_1(D, A, k11_cat_2(B, C)) & m2_cat_1(E, A, k11_cat_2(B, C)) & m2_nattra_1(F, A, k11_cat_2(B, C), D, E))) | m2_nattra_1(k14_isocat_2(A, B, C, D, E, F), A, C, k12_isocat_2(A, B, C, D), k12_isocat_2(A, B, C, E)))))),
% 37.01/23.72      inference(bind,[status(th)],[])).
% 37.01/23.72  tff(609,plain,
% 37.01/23.72      (![A: $i, B: $i, C: $i, D: $i, E: $i, F: $i] : (((((((((v2_cat_1(A) & l1_cat_1(A)) & v2_cat_1(B)) & l1_cat_1(B)) & v2_cat_1(C)) & l1_cat_1(C)) & m2_cat_1(D, A, k11_cat_2(B, C))) & m2_cat_1(E, A, k11_cat_2(B, C))) & m2_nattra_1(F, A, k11_cat_2(B, C), D, E)) => m2_nattra_1(k14_isocat_2(A, B, C, D, E, F), A, C, k12_isocat_2(A, B, C, D), k12_isocat_2(A, B, C, E))) <=> ![A: $i, B: $i, C: $i, D: $i, E: $i, F: $i] : ((~(v2_cat_1(A) & l1_cat_1(A) & v2_cat_1(B) & l1_cat_1(B) & v2_cat_1(C) & l1_cat_1(C) & m2_cat_1(D, A, k11_cat_2(B, C)) & m2_cat_1(E, A, k11_cat_2(B, C)) & m2_nattra_1(F, A, k11_cat_2(B, C), D, E))) | m2_nattra_1(k14_isocat_2(A, B, C, D, E, F), A, C, k12_isocat_2(A, B, C, D), k12_isocat_2(A, B, C, E)))),
% 37.01/23.72      inference(quant_intro,[status(thm)],[608])).
% 37.01/23.72  tff(610,axiom,(![A: $i, B: $i, C: $i, D: $i, E: $i, F: $i] : (((((((((v2_cat_1(A) & l1_cat_1(A)) & v2_cat_1(B)) & l1_cat_1(B)) & v2_cat_1(C)) & l1_cat_1(C)) & m2_cat_1(D, A, k11_cat_2(B, C))) & m2_cat_1(E, A, k11_cat_2(B, C))) & m2_nattra_1(F, A, k11_cat_2(B, C), D, E)) => m2_nattra_1(k14_isocat_2(A, B, C, D, E, F), A, C, k12_isocat_2(A, B, C, D), k12_isocat_2(A, B, C, E)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','dt_k14_isocat_2')).
% 37.01/23.72  tff(611,plain,
% 37.01/23.72      (![A: $i, B: $i, C: $i, D: $i, E: $i, F: $i] : ((~(v2_cat_1(A) & l1_cat_1(A) & v2_cat_1(B) & l1_cat_1(B) & v2_cat_1(C) & l1_cat_1(C) & m2_cat_1(D, A, k11_cat_2(B, C)) & m2_cat_1(E, A, k11_cat_2(B, C)) & m2_nattra_1(F, A, k11_cat_2(B, C), D, E))) | m2_nattra_1(k14_isocat_2(A, B, C, D, E, F), A, C, k12_isocat_2(A, B, C, D), k12_isocat_2(A, B, C, E)))),
% 37.01/23.72      inference(modus_ponens,[status(thm)],[610, 609])).
% 37.01/23.72  tff(612,plain,
% 37.01/23.72      (![A: $i, B: $i, C: $i, D: $i, E: $i, F: $i] : ((~(v2_cat_1(A) & l1_cat_1(A) & v2_cat_1(B) & l1_cat_1(B) & v2_cat_1(C) & l1_cat_1(C) & m2_cat_1(D, A, k11_cat_2(B, C)) & m2_cat_1(E, A, k11_cat_2(B, C)) & m2_nattra_1(F, A, k11_cat_2(B, C), D, E))) | m2_nattra_1(k14_isocat_2(A, B, C, D, E, F), A, C, k12_isocat_2(A, B, C, D), k12_isocat_2(A, B, C, E)))),
% 37.01/23.72      inference(modus_ponens,[status(thm)],[611, 607])).
% 37.01/23.72  tff(613,plain,(
% 37.01/23.72      ![A: $i, B: $i, C: $i, D: $i, E: $i, F: $i] : ((~(v2_cat_1(A) & l1_cat_1(A) & v2_cat_1(B) & l1_cat_1(B) & v2_cat_1(C) & l1_cat_1(C) & m2_cat_1(D, A, k11_cat_2(B, C)) & m2_cat_1(E, A, k11_cat_2(B, C)) & m2_nattra_1(F, A, k11_cat_2(B, C), D, E))) | m2_nattra_1(k14_isocat_2(A, B, C, D, E, F), A, C, k12_isocat_2(A, B, C, D), k12_isocat_2(A, B, C, E)))),
% 37.01/23.72      inference(skolemize,[status(sab)],[612])).
% 37.01/23.72  tff(614,plain,
% 37.01/23.72      (![A: $i, B: $i, C: $i, D: $i, E: $i, F: $i] : (m2_nattra_1(k14_isocat_2(A, B, C, D, E, F), A, C, k12_isocat_2(A, B, C, D), k12_isocat_2(A, B, C, E)) | (~m2_nattra_1(F, A, k11_cat_2(B, C), D, E)) | (~v2_cat_1(C)) | (~l1_cat_1(C)) | (~v2_cat_1(B)) | (~l1_cat_1(B)) | (~v2_cat_1(A)) | (~l1_cat_1(A)) | (~m2_cat_1(D, A, k11_cat_2(B, C))) | (~m2_cat_1(E, A, k11_cat_2(B, C))))),
% 37.01/23.72      inference(modus_ponens,[status(thm)],[613, 606])).
% 37.01/23.72  tff(615,plain,
% 37.01/23.72      (![A: $i, B: $i, C: $i, D: $i, E: $i, F: $i] : (m2_nattra_1(k14_isocat_2(A, B, C, D, E, F), A, C, k12_isocat_2(A, B, C, D), k12_isocat_2(A, B, C, E)) | (~m2_nattra_1(F, A, k11_cat_2(B, C), D, E)) | (~v2_cat_1(C)) | (~l1_cat_1(C)) | (~v2_cat_1(B)) | (~l1_cat_1(B)) | (~v2_cat_1(A)) | (~l1_cat_1(A)) | (~m2_cat_1(D, A, k11_cat_2(B, C))) | (~m2_cat_1(E, A, k11_cat_2(B, C))))),
% 37.01/23.72      inference(modus_ponens,[status(thm)],[614, 604])).
% 37.01/23.72  tff(616,plain,
% 37.01/23.72      (((~![A: $i, B: $i, C: $i, D: $i, E: $i, F: $i] : (m2_nattra_1(k14_isocat_2(A, B, C, D, E, F), A, C, k12_isocat_2(A, B, C, D), k12_isocat_2(A, B, C, E)) | (~m2_nattra_1(F, A, k11_cat_2(B, C), D, E)) | (~v2_cat_1(C)) | (~l1_cat_1(C)) | (~v2_cat_1(B)) | (~l1_cat_1(B)) | (~v2_cat_1(A)) | (~l1_cat_1(A)) | (~m2_cat_1(D, A, k11_cat_2(B, C))) | (~m2_cat_1(E, A, k11_cat_2(B, C))))) | ((~m2_cat_1(D!3, 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_nattra_1(k4_nattra_1(A!0, k11_cat_2(B!1, C!2), D!3), A!0, k11_cat_2(B!1, C!2), D!3, D!3)) | m2_nattra_1(k14_isocat_2(A!0, B!1, C!2, D!3, D!3, k4_nattra_1(A!0, k11_cat_2(B!1, C!2), D!3)), A!0, C!2, k12_isocat_2(A!0, B!1, C!2, D!3), k12_isocat_2(A!0, B!1, C!2, D!3)))) <=> ((~![A: $i, B: $i, C: $i, D: $i, E: $i, F: $i] : (m2_nattra_1(k14_isocat_2(A, B, C, D, E, F), A, C, k12_isocat_2(A, B, C, D), k12_isocat_2(A, B, C, E)) | (~m2_nattra_1(F, A, k11_cat_2(B, C), D, E)) | (~v2_cat_1(C)) | (~l1_cat_1(C)) | (~v2_cat_1(B)) | (~l1_cat_1(B)) | (~v2_cat_1(A)) | (~l1_cat_1(A)) | (~m2_cat_1(D, A, k11_cat_2(B, C))) | (~m2_cat_1(E, A, k11_cat_2(B, C))))) | (~m2_cat_1(D!3, 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_nattra_1(k4_nattra_1(A!0, k11_cat_2(B!1, C!2), D!3), A!0, k11_cat_2(B!1, C!2), D!3, D!3)) | m2_nattra_1(k14_isocat_2(A!0, B!1, C!2, D!3, D!3, k4_nattra_1(A!0, k11_cat_2(B!1, C!2), D!3)), A!0, C!2, k12_isocat_2(A!0, B!1, C!2, D!3), k12_isocat_2(A!0, B!1, C!2, D!3)))),
% 37.01/23.72      inference(rewrite,[status(thm)],[])).
% 37.01/23.72  tff(617,plain,
% 37.01/23.72      ((m2_nattra_1(k14_isocat_2(A!0, B!1, C!2, D!3, D!3, k4_nattra_1(A!0, k11_cat_2(B!1, C!2), D!3)), A!0, C!2, k12_isocat_2(A!0, B!1, C!2, D!3), k12_isocat_2(A!0, B!1, C!2, D!3)) | (~m2_nattra_1(k4_nattra_1(A!0, k11_cat_2(B!1, C!2), D!3), A!0, k11_cat_2(B!1, C!2), D!3, D!3)) | (~v2_cat_1(C!2)) | (~l1_cat_1(C!2)) | (~v2_cat_1(B!1)) | (~l1_cat_1(B!1)) | (~v2_cat_1(A!0)) | (~l1_cat_1(A!0)) | (~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)))) <=> ((~m2_cat_1(D!3, 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_nattra_1(k4_nattra_1(A!0, k11_cat_2(B!1, C!2), D!3), A!0, k11_cat_2(B!1, C!2), D!3, D!3)) | m2_nattra_1(k14_isocat_2(A!0, B!1, C!2, D!3, D!3, k4_nattra_1(A!0, k11_cat_2(B!1, C!2), D!3)), A!0, C!2, k12_isocat_2(A!0, B!1, C!2, D!3), k12_isocat_2(A!0, B!1, C!2, D!3)))),
% 37.01/23.72      inference(rewrite,[status(thm)],[])).
% 37.01/23.72  tff(618,plain,
% 37.01/23.72      (((~![A: $i, B: $i, C: $i, D: $i, E: $i, F: $i] : (m2_nattra_1(k14_isocat_2(A, B, C, D, E, F), A, C, k12_isocat_2(A, B, C, D), k12_isocat_2(A, B, C, E)) | (~m2_nattra_1(F, A, k11_cat_2(B, C), D, E)) | (~v2_cat_1(C)) | (~l1_cat_1(C)) | (~v2_cat_1(B)) | (~l1_cat_1(B)) | (~v2_cat_1(A)) | (~l1_cat_1(A)) | (~m2_cat_1(D, A, k11_cat_2(B, C))) | (~m2_cat_1(E, A, k11_cat_2(B, C))))) | (m2_nattra_1(k14_isocat_2(A!0, B!1, C!2, D!3, D!3, k4_nattra_1(A!0, k11_cat_2(B!1, C!2), D!3)), A!0, C!2, k12_isocat_2(A!0, B!1, C!2, D!3), k12_isocat_2(A!0, B!1, C!2, D!3)) | (~m2_nattra_1(k4_nattra_1(A!0, k11_cat_2(B!1, C!2), D!3), A!0, k11_cat_2(B!1, C!2), D!3, D!3)) | (~v2_cat_1(C!2)) | (~l1_cat_1(C!2)) | (~v2_cat_1(B!1)) | (~l1_cat_1(B!1)) | (~v2_cat_1(A!0)) | (~l1_cat_1(A!0)) | (~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))))) <=> ((~![A: $i, B: $i, C: $i, D: $i, E: $i, F: $i] : (m2_nattra_1(k14_isocat_2(A, B, C, D, E, F), A, C, k12_isocat_2(A, B, C, D), k12_isocat_2(A, B, C, E)) | (~m2_nattra_1(F, A, k11_cat_2(B, C), D, E)) | (~v2_cat_1(C)) | (~l1_cat_1(C)) | (~v2_cat_1(B)) | (~l1_cat_1(B)) | (~v2_cat_1(A)) | (~l1_cat_1(A)) | (~m2_cat_1(D, A, k11_cat_2(B, C))) | (~m2_cat_1(E, A, k11_cat_2(B, C))))) | ((~m2_cat_1(D!3, 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_nattra_1(k4_nattra_1(A!0, k11_cat_2(B!1, C!2), D!3), A!0, k11_cat_2(B!1, C!2), D!3, D!3)) | m2_nattra_1(k14_isocat_2(A!0, B!1, C!2, D!3, D!3, k4_nattra_1(A!0, k11_cat_2(B!1, C!2), D!3)), A!0, C!2, k12_isocat_2(A!0, B!1, C!2, D!3), k12_isocat_2(A!0, B!1, C!2, D!3))))),
% 37.01/23.73      inference(monotonicity,[status(thm)],[617])).
% 37.01/23.73  tff(619,plain,
% 37.01/23.73      (((~![A: $i, B: $i, C: $i, D: $i, E: $i, F: $i] : (m2_nattra_1(k14_isocat_2(A, B, C, D, E, F), A, C, k12_isocat_2(A, B, C, D), k12_isocat_2(A, B, C, E)) | (~m2_nattra_1(F, A, k11_cat_2(B, C), D, E)) | (~v2_cat_1(C)) | (~l1_cat_1(C)) | (~v2_cat_1(B)) | (~l1_cat_1(B)) | (~v2_cat_1(A)) | (~l1_cat_1(A)) | (~m2_cat_1(D, A, k11_cat_2(B, C))) | (~m2_cat_1(E, A, k11_cat_2(B, C))))) | (m2_nattra_1(k14_isocat_2(A!0, B!1, C!2, D!3, D!3, k4_nattra_1(A!0, k11_cat_2(B!1, C!2), D!3)), A!0, C!2, k12_isocat_2(A!0, B!1, C!2, D!3), k12_isocat_2(A!0, B!1, C!2, D!3)) | (~m2_nattra_1(k4_nattra_1(A!0, k11_cat_2(B!1, C!2), D!3), A!0, k11_cat_2(B!1, C!2), D!3, D!3)) | (~v2_cat_1(C!2)) | (~l1_cat_1(C!2)) | (~v2_cat_1(B!1)) | (~l1_cat_1(B!1)) | (~v2_cat_1(A!0)) | (~l1_cat_1(A!0)) | (~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))))) <=> ((~![A: $i, B: $i, C: $i, D: $i, E: $i, F: $i] : (m2_nattra_1(k14_isocat_2(A, B, C, D, E, F), A, C, k12_isocat_2(A, B, C, D), k12_isocat_2(A, B, C, E)) | (~m2_nattra_1(F, A, k11_cat_2(B, C), D, E)) | (~v2_cat_1(C)) | (~l1_cat_1(C)) | (~v2_cat_1(B)) | (~l1_cat_1(B)) | (~v2_cat_1(A)) | (~l1_cat_1(A)) | (~m2_cat_1(D, A, k11_cat_2(B, C))) | (~m2_cat_1(E, A, k11_cat_2(B, C))))) | (~m2_cat_1(D!3, 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_nattra_1(k4_nattra_1(A!0, k11_cat_2(B!1, C!2), D!3), A!0, k11_cat_2(B!1, C!2), D!3, D!3)) | m2_nattra_1(k14_isocat_2(A!0, B!1, C!2, D!3, D!3, k4_nattra_1(A!0, k11_cat_2(B!1, C!2), D!3)), A!0, C!2, k12_isocat_2(A!0, B!1, C!2, D!3), k12_isocat_2(A!0, B!1, C!2, D!3)))),
% 37.01/23.73      inference(transitivity,[status(thm)],[618, 616])).
% 37.01/23.73  tff(620,plain,
% 37.01/23.73      ((~![A: $i, B: $i, C: $i, D: $i, E: $i, F: $i] : (m2_nattra_1(k14_isocat_2(A, B, C, D, E, F), A, C, k12_isocat_2(A, B, C, D), k12_isocat_2(A, B, C, E)) | (~m2_nattra_1(F, A, k11_cat_2(B, C), D, E)) | (~v2_cat_1(C)) | (~l1_cat_1(C)) | (~v2_cat_1(B)) | (~l1_cat_1(B)) | (~v2_cat_1(A)) | (~l1_cat_1(A)) | (~m2_cat_1(D, A, k11_cat_2(B, C))) | (~m2_cat_1(E, A, k11_cat_2(B, C))))) | (m2_nattra_1(k14_isocat_2(A!0, B!1, C!2, D!3, D!3, k4_nattra_1(A!0, k11_cat_2(B!1, C!2), D!3)), A!0, C!2, k12_isocat_2(A!0, B!1, C!2, D!3), k12_isocat_2(A!0, B!1, C!2, D!3)) | (~m2_nattra_1(k4_nattra_1(A!0, k11_cat_2(B!1, C!2), D!3), A!0, k11_cat_2(B!1, C!2), D!3, D!3)) | (~v2_cat_1(C!2)) | (~l1_cat_1(C!2)) | (~v2_cat_1(B!1)) | (~l1_cat_1(B!1)) | (~v2_cat_1(A!0)) | (~l1_cat_1(A!0)) | (~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))))),
% 37.01/23.73      inference(quant_inst,[status(thm)],[])).
% 37.01/23.73  tff(621,plain,
% 37.01/23.73      ((~![A: $i, B: $i, C: $i, D: $i, E: $i, F: $i] : (m2_nattra_1(k14_isocat_2(A, B, C, D, E, F), A, C, k12_isocat_2(A, B, C, D), k12_isocat_2(A, B, C, E)) | (~m2_nattra_1(F, A, k11_cat_2(B, C), D, E)) | (~v2_cat_1(C)) | (~l1_cat_1(C)) | (~v2_cat_1(B)) | (~l1_cat_1(B)) | (~v2_cat_1(A)) | (~l1_cat_1(A)) | (~m2_cat_1(D, A, k11_cat_2(B, C))) | (~m2_cat_1(E, A, k11_cat_2(B, C))))) | (~m2_cat_1(D!3, 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_nattra_1(k4_nattra_1(A!0, k11_cat_2(B!1, C!2), D!3), A!0, k11_cat_2(B!1, C!2), D!3, D!3)) | m2_nattra_1(k14_isocat_2(A!0, B!1, C!2, D!3, D!3, k4_nattra_1(A!0, k11_cat_2(B!1, C!2), D!3)), A!0, C!2, k12_isocat_2(A!0, B!1, C!2, D!3), k12_isocat_2(A!0, B!1, C!2, D!3))),
% 37.01/23.73      inference(modus_ponens,[status(thm)],[620, 619])).
% 37.01/23.73  tff(622,plain,
% 37.01/23.73      ((~m2_nattra_1(k4_nattra_1(A!0, k11_cat_2(B!1, C!2), D!3), A!0, k11_cat_2(B!1, C!2), D!3, D!3)) | m2_nattra_1(k14_isocat_2(A!0, B!1, C!2, D!3, D!3, k4_nattra_1(A!0, k11_cat_2(B!1, C!2), D!3)), A!0, C!2, k12_isocat_2(A!0, B!1, C!2, D!3), k12_isocat_2(A!0, B!1, C!2, D!3))),
% 37.01/23.73      inference(unit_resolution,[status(thm)],[621, 71, 70, 40, 39, 38, 37, 69, 615])).
% 37.01/23.73  tff(623,plain,
% 37.01/23.73      (m2_nattra_1(k14_isocat_2(A!0, B!1, C!2, D!3, D!3, k4_nattra_1(A!0, k11_cat_2(B!1, C!2), D!3)), A!0, C!2, k12_isocat_2(A!0, B!1, C!2, D!3), k12_isocat_2(A!0, B!1, C!2, D!3))),
% 37.01/23.73      inference(unit_resolution,[status(thm)],[622, 144])).
% 37.01/23.73  tff(624,plain,
% 37.01/23.73      (m2_nattra_1(k14_isocat_2(A!0, B!1, C!2, D!3, D!3, k7_nattra_1(A!0, k11_cat_2(B!1, C!2), D!3)), A!0, C!2, k12_isocat_2(A!0, B!1, C!2, D!3), k12_isocat_2(A!0, B!1, C!2, D!3))),
% 37.01/23.73      inference(modus_ponens,[status(thm)],[623, 602])).
% 37.01/23.73  tff(625,plain,
% 37.01/23.73      (((~![A: $i, B: $i, C: $i, D: $i] : ((~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)) | ![E: $i] : ((~m2_nattra_1(E, A, B, C, D)) | m1_nattra_1(E, A, B, C, D)))) | ((~v2_cat_1(A!0)) | (~l1_cat_1(A!0)) | (~v2_cat_1(C!2)) | (~l1_cat_1(C!2)) | (~m2_cat_1(k12_isocat_2(A!0, B!1, C!2, D!3), A!0, C!2)) | ![E: $i] : ((~m2_nattra_1(E, A!0, C!2, k12_isocat_2(A!0, B!1, C!2, D!3), k12_isocat_2(A!0, B!1, C!2, D!3))) | m1_nattra_1(E, A!0, C!2, k12_isocat_2(A!0, B!1, C!2, D!3), k12_isocat_2(A!0, B!1, C!2, D!3))))) <=> ((~![A: $i, B: $i, C: $i, D: $i] : ((~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)) | ![E: $i] : ((~m2_nattra_1(E, A, B, C, D)) | m1_nattra_1(E, A, B, C, D)))) | (~v2_cat_1(A!0)) | (~l1_cat_1(A!0)) | (~v2_cat_1(C!2)) | (~l1_cat_1(C!2)) | (~m2_cat_1(k12_isocat_2(A!0, B!1, C!2, D!3), A!0, C!2)) | ![E: $i] : ((~m2_nattra_1(E, A!0, C!2, k12_isocat_2(A!0, B!1, C!2, D!3), k12_isocat_2(A!0, B!1, C!2, D!3))) | m1_nattra_1(E, A!0, C!2, k12_isocat_2(A!0, B!1, C!2, D!3), k12_isocat_2(A!0, B!1, C!2, D!3))))),
% 37.01/23.73      inference(rewrite,[status(thm)],[])).
% 37.01/23.73  tff(626,plain,
% 37.01/23.73      (((~m2_cat_1(k12_isocat_2(A!0, B!1, C!2, D!3), A!0, C!2)) | (~v2_cat_1(A!0)) | (~l1_cat_1(A!0)) | (~v2_cat_1(C!2)) | (~l1_cat_1(C!2)) | (~m2_cat_1(k12_isocat_2(A!0, B!1, C!2, D!3), A!0, C!2)) | ![E: $i] : ((~m2_nattra_1(E, A!0, C!2, k12_isocat_2(A!0, B!1, C!2, D!3), k12_isocat_2(A!0, B!1, C!2, D!3))) | m1_nattra_1(E, A!0, C!2, k12_isocat_2(A!0, B!1, C!2, D!3), k12_isocat_2(A!0, B!1, C!2, D!3)))) <=> ((~v2_cat_1(A!0)) | (~l1_cat_1(A!0)) | (~v2_cat_1(C!2)) | (~l1_cat_1(C!2)) | (~m2_cat_1(k12_isocat_2(A!0, B!1, C!2, D!3), A!0, C!2)) | ![E: $i] : ((~m2_nattra_1(E, A!0, C!2, k12_isocat_2(A!0, B!1, C!2, D!3), k12_isocat_2(A!0, B!1, C!2, D!3))) | m1_nattra_1(E, A!0, C!2, k12_isocat_2(A!0, B!1, C!2, D!3), k12_isocat_2(A!0, B!1, C!2, D!3))))),
% 37.01/23.73      inference(rewrite,[status(thm)],[])).
% 37.01/23.73  tff(627,plain,
% 37.01/23.73      (((~![A: $i, B: $i, C: $i, D: $i] : ((~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)) | ![E: $i] : ((~m2_nattra_1(E, A, B, C, D)) | m1_nattra_1(E, A, B, C, D)))) | ((~m2_cat_1(k12_isocat_2(A!0, B!1, C!2, D!3), A!0, C!2)) | (~v2_cat_1(A!0)) | (~l1_cat_1(A!0)) | (~v2_cat_1(C!2)) | (~l1_cat_1(C!2)) | (~m2_cat_1(k12_isocat_2(A!0, B!1, C!2, D!3), A!0, C!2)) | ![E: $i] : ((~m2_nattra_1(E, A!0, C!2, k12_isocat_2(A!0, B!1, C!2, D!3), k12_isocat_2(A!0, B!1, C!2, D!3))) | m1_nattra_1(E, A!0, C!2, k12_isocat_2(A!0, B!1, C!2, D!3), k12_isocat_2(A!0, B!1, C!2, D!3))))) <=> ((~![A: $i, B: $i, C: $i, D: $i] : ((~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)) | ![E: $i] : ((~m2_nattra_1(E, A, B, C, D)) | m1_nattra_1(E, A, B, C, D)))) | ((~v2_cat_1(A!0)) | (~l1_cat_1(A!0)) | (~v2_cat_1(C!2)) | (~l1_cat_1(C!2)) | (~m2_cat_1(k12_isocat_2(A!0, B!1, C!2, D!3), A!0, C!2)) | ![E: $i] : ((~m2_nattra_1(E, A!0, C!2, k12_isocat_2(A!0, B!1, C!2, D!3), k12_isocat_2(A!0, B!1, C!2, D!3))) | m1_nattra_1(E, A!0, C!2, k12_isocat_2(A!0, B!1, C!2, D!3), k12_isocat_2(A!0, B!1, C!2, D!3)))))),
% 37.01/23.74      inference(monotonicity,[status(thm)],[626])).
% 37.01/23.74  tff(628,plain,
% 37.01/23.74      (((~![A: $i, B: $i, C: $i, D: $i] : ((~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)) | ![E: $i] : ((~m2_nattra_1(E, A, B, C, D)) | m1_nattra_1(E, A, B, C, D)))) | ((~m2_cat_1(k12_isocat_2(A!0, B!1, C!2, D!3), A!0, C!2)) | (~v2_cat_1(A!0)) | (~l1_cat_1(A!0)) | (~v2_cat_1(C!2)) | (~l1_cat_1(C!2)) | (~m2_cat_1(k12_isocat_2(A!0, B!1, C!2, D!3), A!0, C!2)) | ![E: $i] : ((~m2_nattra_1(E, A!0, C!2, k12_isocat_2(A!0, B!1, C!2, D!3), k12_isocat_2(A!0, B!1, C!2, D!3))) | m1_nattra_1(E, A!0, C!2, k12_isocat_2(A!0, B!1, C!2, D!3), k12_isocat_2(A!0, B!1, C!2, D!3))))) <=> ((~![A: $i, B: $i, C: $i, D: $i] : ((~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)) | ![E: $i] : ((~m2_nattra_1(E, A, B, C, D)) | m1_nattra_1(E, A, B, C, D)))) | (~v2_cat_1(A!0)) | (~l1_cat_1(A!0)) | (~v2_cat_1(C!2)) | (~l1_cat_1(C!2)) | (~m2_cat_1(k12_isocat_2(A!0, B!1, C!2, D!3), A!0, C!2)) | ![E: $i] : ((~m2_nattra_1(E, A!0, C!2, k12_isocat_2(A!0, B!1, C!2, D!3), k12_isocat_2(A!0, B!1, C!2, D!3))) | m1_nattra_1(E, A!0, C!2, k12_isocat_2(A!0, B!1, C!2, D!3), k12_isocat_2(A!0, B!1, C!2, D!3))))),
% 37.01/23.74      inference(transitivity,[status(thm)],[627, 625])).
% 37.01/23.74  tff(629,plain,
% 37.01/23.74      ((~![A: $i, B: $i, C: $i, D: $i] : ((~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)) | ![E: $i] : ((~m2_nattra_1(E, A, B, C, D)) | m1_nattra_1(E, A, B, C, D)))) | ((~m2_cat_1(k12_isocat_2(A!0, B!1, C!2, D!3), A!0, C!2)) | (~v2_cat_1(A!0)) | (~l1_cat_1(A!0)) | (~v2_cat_1(C!2)) | (~l1_cat_1(C!2)) | (~m2_cat_1(k12_isocat_2(A!0, B!1, C!2, D!3), A!0, C!2)) | ![E: $i] : ((~m2_nattra_1(E, A!0, C!2, k12_isocat_2(A!0, B!1, C!2, D!3), k12_isocat_2(A!0, B!1, C!2, D!3))) | m1_nattra_1(E, A!0, C!2, k12_isocat_2(A!0, B!1, C!2, D!3), k12_isocat_2(A!0, B!1, C!2, D!3))))),
% 37.01/23.74      inference(quant_inst,[status(thm)],[])).
% 37.01/23.74  tff(630,plain,
% 37.01/23.74      ((~![A: $i, B: $i, C: $i, D: $i] : ((~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)) | ![E: $i] : ((~m2_nattra_1(E, A, B, C, D)) | m1_nattra_1(E, A, B, C, D)))) | (~v2_cat_1(A!0)) | (~l1_cat_1(A!0)) | (~v2_cat_1(C!2)) | (~l1_cat_1(C!2)) | (~m2_cat_1(k12_isocat_2(A!0, B!1, C!2, D!3), A!0, C!2)) | ![E: $i] : ((~m2_nattra_1(E, A!0, C!2, k12_isocat_2(A!0, B!1, C!2, D!3), k12_isocat_2(A!0, B!1, C!2, D!3))) | m1_nattra_1(E, A!0, C!2, k12_isocat_2(A!0, B!1, C!2, D!3), k12_isocat_2(A!0, B!1, C!2, D!3)))),
% 37.01/23.74      inference(modus_ponens,[status(thm)],[629, 628])).
% 37.01/23.74  tff(631,plain,
% 37.01/23.74      (![E: $i] : ((~m2_nattra_1(E, A!0, C!2, k12_isocat_2(A!0, B!1, C!2, D!3), k12_isocat_2(A!0, B!1, C!2, D!3))) | m1_nattra_1(E, A!0, C!2, k12_isocat_2(A!0, B!1, C!2, D!3), k12_isocat_2(A!0, B!1, C!2, D!3)))),
% 37.01/23.74      inference(unit_resolution,[status(thm)],[630, 71, 70, 38, 37, 247, 588])).
% 37.01/23.74  tff(632,plain,
% 37.01/23.74      (((~![E: $i] : ((~m2_nattra_1(E, A!0, C!2, k12_isocat_2(A!0, B!1, C!2, D!3), k12_isocat_2(A!0, B!1, C!2, D!3))) | m1_nattra_1(E, A!0, C!2, k12_isocat_2(A!0, B!1, C!2, D!3), k12_isocat_2(A!0, B!1, C!2, D!3)))) | ((~m2_nattra_1(k14_isocat_2(A!0, B!1, C!2, D!3, D!3, k7_nattra_1(A!0, k11_cat_2(B!1, C!2), D!3)), A!0, C!2, k12_isocat_2(A!0, B!1, C!2, D!3), k12_isocat_2(A!0, B!1, C!2, D!3))) | m1_nattra_1(k14_isocat_2(A!0, B!1, C!2, D!3, D!3, k7_nattra_1(A!0, k11_cat_2(B!1, C!2), D!3)), A!0, C!2, k12_isocat_2(A!0, B!1, C!2, D!3), k12_isocat_2(A!0, B!1, C!2, D!3)))) <=> ((~![E: $i] : ((~m2_nattra_1(E, A!0, C!2, k12_isocat_2(A!0, B!1, C!2, D!3), k12_isocat_2(A!0, B!1, C!2, D!3))) | m1_nattra_1(E, A!0, C!2, k12_isocat_2(A!0, B!1, C!2, D!3), k12_isocat_2(A!0, B!1, C!2, D!3)))) | (~m2_nattra_1(k14_isocat_2(A!0, B!1, C!2, D!3, D!3, k7_nattra_1(A!0, k11_cat_2(B!1, C!2), D!3)), A!0, C!2, k12_isocat_2(A!0, B!1, C!2, D!3), k12_isocat_2(A!0, B!1, C!2, D!3))) | m1_nattra_1(k14_isocat_2(A!0, B!1, C!2, D!3, D!3, k7_nattra_1(A!0, k11_cat_2(B!1, C!2), D!3)), A!0, C!2, k12_isocat_2(A!0, B!1, C!2, D!3), k12_isocat_2(A!0, B!1, C!2, D!3)))),
% 37.01/23.74      inference(rewrite,[status(thm)],[])).
% 37.01/23.74  tff(633,plain,
% 37.01/23.74      ((~![E: $i] : ((~m2_nattra_1(E, A!0, C!2, k12_isocat_2(A!0, B!1, C!2, D!3), k12_isocat_2(A!0, B!1, C!2, D!3))) | m1_nattra_1(E, A!0, C!2, k12_isocat_2(A!0, B!1, C!2, D!3), k12_isocat_2(A!0, B!1, C!2, D!3)))) | ((~m2_nattra_1(k14_isocat_2(A!0, B!1, C!2, D!3, D!3, k7_nattra_1(A!0, k11_cat_2(B!1, C!2), D!3)), A!0, C!2, k12_isocat_2(A!0, B!1, C!2, D!3), k12_isocat_2(A!0, B!1, C!2, D!3))) | m1_nattra_1(k14_isocat_2(A!0, B!1, C!2, D!3, D!3, k7_nattra_1(A!0, k11_cat_2(B!1, C!2), D!3)), A!0, C!2, k12_isocat_2(A!0, B!1, C!2, D!3), k12_isocat_2(A!0, B!1, C!2, D!3)))),
% 37.01/23.74      inference(quant_inst,[status(thm)],[])).
% 37.01/23.74  tff(634,plain,
% 37.01/23.74      ((~![E: $i] : ((~m2_nattra_1(E, A!0, C!2, k12_isocat_2(A!0, B!1, C!2, D!3), k12_isocat_2(A!0, B!1, C!2, D!3))) | m1_nattra_1(E, A!0, C!2, k12_isocat_2(A!0, B!1, C!2, D!3), k12_isocat_2(A!0, B!1, C!2, D!3)))) | (~m2_nattra_1(k14_isocat_2(A!0, B!1, C!2, D!3, D!3, k7_nattra_1(A!0, k11_cat_2(B!1, C!2), D!3)), A!0, C!2, k12_isocat_2(A!0, B!1, C!2, D!3), k12_isocat_2(A!0, B!1, C!2, D!3))) | m1_nattra_1(k14_isocat_2(A!0, B!1, C!2, D!3, D!3, k7_nattra_1(A!0, k11_cat_2(B!1, C!2), D!3)), A!0, C!2, k12_isocat_2(A!0, B!1, C!2, D!3), k12_isocat_2(A!0, B!1, C!2, D!3))),
% 37.01/23.74      inference(modus_ponens,[status(thm)],[633, 632])).
% 37.01/23.74  tff(635,plain,
% 37.01/23.74      ((~m2_nattra_1(k14_isocat_2(A!0, B!1, C!2, D!3, D!3, k7_nattra_1(A!0, k11_cat_2(B!1, C!2), D!3)), A!0, C!2, k12_isocat_2(A!0, B!1, C!2, D!3), k12_isocat_2(A!0, B!1, C!2, D!3))) | m1_nattra_1(k14_isocat_2(A!0, B!1, C!2, D!3, D!3, k7_nattra_1(A!0, k11_cat_2(B!1, C!2), D!3)), A!0, C!2, k12_isocat_2(A!0, B!1, C!2, D!3), k12_isocat_2(A!0, B!1, C!2, D!3))),
% 37.01/23.74      inference(unit_resolution,[status(thm)],[634, 631])).
% 37.01/23.74  tff(636,plain,
% 37.01/23.74      (m1_nattra_1(k14_isocat_2(A!0, B!1, C!2, D!3, D!3, k7_nattra_1(A!0, k11_cat_2(B!1, C!2), D!3)), A!0, C!2, k12_isocat_2(A!0, B!1, C!2, D!3), k12_isocat_2(A!0, B!1, C!2, D!3))),
% 37.01/23.74      inference(unit_resolution,[status(thm)],[635, 624])).
% 37.01/23.74  tff(637,plain,
% 37.01/23.74      (((~![A: $i, B: $i, C: $i, D: $i] : ((~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)) | ![E: $i] : ((~m1_nattra_1(E, A, B, C, D)) | (~((~v1_funct_1(E)) | (~v1_funct_2(E, u1_cat_1(A), u2_cat_1(B))) | (~m2_relset_1(E, u1_cat_1(A), u2_cat_1(B)))))))) | ((~v2_cat_1(A!0)) | (~l1_cat_1(A!0)) | (~v2_cat_1(C!2)) | (~l1_cat_1(C!2)) | (~m2_cat_1(k12_isocat_2(A!0, B!1, C!2, D!3), A!0, C!2)) | ![E: $i] : ((~m1_nattra_1(E, A!0, C!2, k12_isocat_2(A!0, B!1, C!2, D!3), k12_isocat_2(A!0, B!1, C!2, D!3))) | (~((~v1_funct_1(E)) | (~v1_funct_2(E, u1_cat_1(A!0), u2_cat_1(C!2))) | (~m2_relset_1(E, u1_cat_1(A!0), u2_cat_1(C!2)))))))) <=> ((~![A: $i, B: $i, C: $i, D: $i] : ((~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)) | ![E: $i] : ((~m1_nattra_1(E, A, B, C, D)) | (~((~v1_funct_1(E)) | (~v1_funct_2(E, u1_cat_1(A), u2_cat_1(B))) | (~m2_relset_1(E, u1_cat_1(A), u2_cat_1(B)))))))) | (~v2_cat_1(A!0)) | (~l1_cat_1(A!0)) | (~v2_cat_1(C!2)) | (~l1_cat_1(C!2)) | (~m2_cat_1(k12_isocat_2(A!0, B!1, C!2, D!3), A!0, C!2)) | ![E: $i] : ((~m1_nattra_1(E, A!0, C!2, k12_isocat_2(A!0, B!1, C!2, D!3), k12_isocat_2(A!0, B!1, C!2, D!3))) | (~((~v1_funct_1(E)) | (~v1_funct_2(E, u1_cat_1(A!0), u2_cat_1(C!2))) | (~m2_relset_1(E, u1_cat_1(A!0), u2_cat_1(C!2)))))))),
% 37.01/23.74      inference(rewrite,[status(thm)],[])).
% 37.01/23.74  tff(638,plain,
% 37.01/23.74      (((~m2_cat_1(k12_isocat_2(A!0, B!1, C!2, D!3), A!0, C!2)) | (~v2_cat_1(A!0)) | (~l1_cat_1(A!0)) | (~v2_cat_1(C!2)) | (~l1_cat_1(C!2)) | (~m2_cat_1(k12_isocat_2(A!0, B!1, C!2, D!3), A!0, C!2)) | ![E: $i] : ((~m1_nattra_1(E, A!0, C!2, k12_isocat_2(A!0, B!1, C!2, D!3), k12_isocat_2(A!0, B!1, C!2, D!3))) | (~((~v1_funct_1(E)) | (~v1_funct_2(E, u1_cat_1(A!0), u2_cat_1(C!2))) | (~m2_relset_1(E, u1_cat_1(A!0), u2_cat_1(C!2))))))) <=> ((~v2_cat_1(A!0)) | (~l1_cat_1(A!0)) | (~v2_cat_1(C!2)) | (~l1_cat_1(C!2)) | (~m2_cat_1(k12_isocat_2(A!0, B!1, C!2, D!3), A!0, C!2)) | ![E: $i] : ((~m1_nattra_1(E, A!0, C!2, k12_isocat_2(A!0, B!1, C!2, D!3), k12_isocat_2(A!0, B!1, C!2, D!3))) | (~((~v1_funct_1(E)) | (~v1_funct_2(E, u1_cat_1(A!0), u2_cat_1(C!2))) | (~m2_relset_1(E, u1_cat_1(A!0), u2_cat_1(C!2)))))))),
% 37.01/23.75      inference(rewrite,[status(thm)],[])).
% 37.01/23.75  tff(639,plain,
% 37.01/23.75      (((~![A: $i, B: $i, C: $i, D: $i] : ((~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)) | ![E: $i] : ((~m1_nattra_1(E, A, B, C, D)) | (~((~v1_funct_1(E)) | (~v1_funct_2(E, u1_cat_1(A), u2_cat_1(B))) | (~m2_relset_1(E, u1_cat_1(A), u2_cat_1(B)))))))) | ((~m2_cat_1(k12_isocat_2(A!0, B!1, C!2, D!3), A!0, C!2)) | (~v2_cat_1(A!0)) | (~l1_cat_1(A!0)) | (~v2_cat_1(C!2)) | (~l1_cat_1(C!2)) | (~m2_cat_1(k12_isocat_2(A!0, B!1, C!2, D!3), A!0, C!2)) | ![E: $i] : ((~m1_nattra_1(E, A!0, C!2, k12_isocat_2(A!0, B!1, C!2, D!3), k12_isocat_2(A!0, B!1, C!2, D!3))) | (~((~v1_funct_1(E)) | (~v1_funct_2(E, u1_cat_1(A!0), u2_cat_1(C!2))) | (~m2_relset_1(E, u1_cat_1(A!0), u2_cat_1(C!2)))))))) <=> ((~![A: $i, B: $i, C: $i, D: $i] : ((~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)) | ![E: $i] : ((~m1_nattra_1(E, A, B, C, D)) | (~((~v1_funct_1(E)) | (~v1_funct_2(E, u1_cat_1(A), u2_cat_1(B))) | (~m2_relset_1(E, u1_cat_1(A), u2_cat_1(B)))))))) | ((~v2_cat_1(A!0)) | (~l1_cat_1(A!0)) | (~v2_cat_1(C!2)) | (~l1_cat_1(C!2)) | (~m2_cat_1(k12_isocat_2(A!0, B!1, C!2, D!3), A!0, C!2)) | ![E: $i] : ((~m1_nattra_1(E, A!0, C!2, k12_isocat_2(A!0, B!1, C!2, D!3), k12_isocat_2(A!0, B!1, C!2, D!3))) | (~((~v1_funct_1(E)) | (~v1_funct_2(E, u1_cat_1(A!0), u2_cat_1(C!2))) | (~m2_relset_1(E, u1_cat_1(A!0), u2_cat_1(C!2))))))))),
% 37.01/23.75      inference(monotonicity,[status(thm)],[638])).
% 37.01/23.75  tff(640,plain,
% 37.01/23.75      (((~![A: $i, B: $i, C: $i, D: $i] : ((~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)) | ![E: $i] : ((~m1_nattra_1(E, A, B, C, D)) | (~((~v1_funct_1(E)) | (~v1_funct_2(E, u1_cat_1(A), u2_cat_1(B))) | (~m2_relset_1(E, u1_cat_1(A), u2_cat_1(B)))))))) | ((~m2_cat_1(k12_isocat_2(A!0, B!1, C!2, D!3), A!0, C!2)) | (~v2_cat_1(A!0)) | (~l1_cat_1(A!0)) | (~v2_cat_1(C!2)) | (~l1_cat_1(C!2)) | (~m2_cat_1(k12_isocat_2(A!0, B!1, C!2, D!3), A!0, C!2)) | ![E: $i] : ((~m1_nattra_1(E, A!0, C!2, k12_isocat_2(A!0, B!1, C!2, D!3), k12_isocat_2(A!0, B!1, C!2, D!3))) | (~((~v1_funct_1(E)) | (~v1_funct_2(E, u1_cat_1(A!0), u2_cat_1(C!2))) | (~m2_relset_1(E, u1_cat_1(A!0), u2_cat_1(C!2)))))))) <=> ((~![A: $i, B: $i, C: $i, D: $i] : ((~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)) | ![E: $i] : ((~m1_nattra_1(E, A, B, C, D)) | (~((~v1_funct_1(E)) | (~v1_funct_2(E, u1_cat_1(A), u2_cat_1(B))) | (~m2_relset_1(E, u1_cat_1(A), u2_cat_1(B)))))))) | (~v2_cat_1(A!0)) | (~l1_cat_1(A!0)) | (~v2_cat_1(C!2)) | (~l1_cat_1(C!2)) | (~m2_cat_1(k12_isocat_2(A!0, B!1, C!2, D!3), A!0, C!2)) | ![E: $i] : ((~m1_nattra_1(E, A!0, C!2, k12_isocat_2(A!0, B!1, C!2, D!3), k12_isocat_2(A!0, B!1, C!2, D!3))) | (~((~v1_funct_1(E)) | (~v1_funct_2(E, u1_cat_1(A!0), u2_cat_1(C!2))) | (~m2_relset_1(E, u1_cat_1(A!0), u2_cat_1(C!2)))))))),
% 37.01/23.75      inference(transitivity,[status(thm)],[639, 637])).
% 37.01/23.75  tff(641,plain,
% 37.01/23.75      ((~![A: $i, B: $i, C: $i, D: $i] : ((~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)) | ![E: $i] : ((~m1_nattra_1(E, A, B, C, D)) | (~((~v1_funct_1(E)) | (~v1_funct_2(E, u1_cat_1(A), u2_cat_1(B))) | (~m2_relset_1(E, u1_cat_1(A), u2_cat_1(B)))))))) | ((~m2_cat_1(k12_isocat_2(A!0, B!1, C!2, D!3), A!0, C!2)) | (~v2_cat_1(A!0)) | (~l1_cat_1(A!0)) | (~v2_cat_1(C!2)) | (~l1_cat_1(C!2)) | (~m2_cat_1(k12_isocat_2(A!0, B!1, C!2, D!3), A!0, C!2)) | ![E: $i] : ((~m1_nattra_1(E, A!0, C!2, k12_isocat_2(A!0, B!1, C!2, D!3), k12_isocat_2(A!0, B!1, C!2, D!3))) | (~((~v1_funct_1(E)) | (~v1_funct_2(E, u1_cat_1(A!0), u2_cat_1(C!2))) | (~m2_relset_1(E, u1_cat_1(A!0), u2_cat_1(C!2)))))))),
% 37.01/23.75      inference(quant_inst,[status(thm)],[])).
% 37.01/23.75  tff(642,plain,
% 37.01/23.75      ((~![A: $i, B: $i, C: $i, D: $i] : ((~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)) | ![E: $i] : ((~m1_nattra_1(E, A, B, C, D)) | (~((~v1_funct_1(E)) | (~v1_funct_2(E, u1_cat_1(A), u2_cat_1(B))) | (~m2_relset_1(E, u1_cat_1(A), u2_cat_1(B)))))))) | (~v2_cat_1(A!0)) | (~l1_cat_1(A!0)) | (~v2_cat_1(C!2)) | (~l1_cat_1(C!2)) | (~m2_cat_1(k12_isocat_2(A!0, B!1, C!2, D!3), A!0, C!2)) | ![E: $i] : ((~m1_nattra_1(E, A!0, C!2, k12_isocat_2(A!0, B!1, C!2, D!3), k12_isocat_2(A!0, B!1, C!2, D!3))) | (~((~v1_funct_1(E)) | (~v1_funct_2(E, u1_cat_1(A!0), u2_cat_1(C!2))) | (~m2_relset_1(E, u1_cat_1(A!0), u2_cat_1(C!2))))))),
% 37.01/23.75      inference(modus_ponens,[status(thm)],[641, 640])).
% 37.01/23.75  tff(643,plain,
% 37.01/23.75      (![E: $i] : ((~m1_nattra_1(E, A!0, C!2, k12_isocat_2(A!0, B!1, C!2, D!3), k12_isocat_2(A!0, B!1, C!2, D!3))) | (~((~v1_funct_1(E)) | (~v1_funct_2(E, u1_cat_1(A!0), u2_cat_1(C!2))) | (~m2_relset_1(E, u1_cat_1(A!0), u2_cat_1(C!2))))))),
% 37.01/23.75      inference(unit_resolution,[status(thm)],[642, 71, 70, 38, 37, 275, 588])).
% 37.01/23.75  tff(644,plain,
% 37.01/23.75      (((~![E: $i] : ((~m1_nattra_1(E, A!0, C!2, k12_isocat_2(A!0, B!1, C!2, D!3), k12_isocat_2(A!0, B!1, C!2, D!3))) | (~((~v1_funct_1(E)) | (~v1_funct_2(E, u1_cat_1(A!0), u2_cat_1(C!2))) | (~m2_relset_1(E, u1_cat_1(A!0), u2_cat_1(C!2))))))) | ((~m1_nattra_1(k14_isocat_2(A!0, B!1, C!2, D!3, D!3, k7_nattra_1(A!0, k11_cat_2(B!1, C!2), D!3)), A!0, C!2, k12_isocat_2(A!0, B!1, C!2, D!3), k12_isocat_2(A!0, B!1, C!2, D!3))) | (~((~v1_funct_1(k14_isocat_2(A!0, B!1, C!2, D!3, D!3, k7_nattra_1(A!0, k11_cat_2(B!1, C!2), D!3)))) | (~v1_funct_2(k14_isocat_2(A!0, B!1, C!2, D!3, D!3, k7_nattra_1(A!0, k11_cat_2(B!1, C!2), D!3)), u1_cat_1(A!0), u2_cat_1(C!2))) | (~m2_relset_1(k14_isocat_2(A!0, B!1, C!2, D!3, D!3, k7_nattra_1(A!0, k11_cat_2(B!1, C!2), D!3)), u1_cat_1(A!0), u2_cat_1(C!2))))))) <=> ((~![E: $i] : ((~m1_nattra_1(E, A!0, C!2, k12_isocat_2(A!0, B!1, C!2, D!3), k12_isocat_2(A!0, B!1, C!2, D!3))) | (~((~v1_funct_1(E)) | (~v1_funct_2(E, u1_cat_1(A!0), u2_cat_1(C!2))) | (~m2_relset_1(E, u1_cat_1(A!0), u2_cat_1(C!2))))))) | (~m1_nattra_1(k14_isocat_2(A!0, B!1, C!2, D!3, D!3, k7_nattra_1(A!0, k11_cat_2(B!1, C!2), D!3)), A!0, C!2, k12_isocat_2(A!0, B!1, C!2, D!3), k12_isocat_2(A!0, B!1, C!2, D!3))) | (~((~v1_funct_1(k14_isocat_2(A!0, B!1, C!2, D!3, D!3, k7_nattra_1(A!0, k11_cat_2(B!1, C!2), D!3)))) | (~v1_funct_2(k14_isocat_2(A!0, B!1, C!2, D!3, D!3, k7_nattra_1(A!0, k11_cat_2(B!1, C!2), D!3)), u1_cat_1(A!0), u2_cat_1(C!2))) | (~m2_relset_1(k14_isocat_2(A!0, B!1, C!2, D!3, D!3, k7_nattra_1(A!0, k11_cat_2(B!1, C!2), D!3)), u1_cat_1(A!0), u2_cat_1(C!2))))))),
% 37.01/23.75      inference(rewrite,[status(thm)],[])).
% 37.01/23.75  tff(645,plain,
% 37.01/23.75      ((~![E: $i] : ((~m1_nattra_1(E, A!0, C!2, k12_isocat_2(A!0, B!1, C!2, D!3), k12_isocat_2(A!0, B!1, C!2, D!3))) | (~((~v1_funct_1(E)) | (~v1_funct_2(E, u1_cat_1(A!0), u2_cat_1(C!2))) | (~m2_relset_1(E, u1_cat_1(A!0), u2_cat_1(C!2))))))) | ((~m1_nattra_1(k14_isocat_2(A!0, B!1, C!2, D!3, D!3, k7_nattra_1(A!0, k11_cat_2(B!1, C!2), D!3)), A!0, C!2, k12_isocat_2(A!0, B!1, C!2, D!3), k12_isocat_2(A!0, B!1, C!2, D!3))) | (~((~v1_funct_1(k14_isocat_2(A!0, B!1, C!2, D!3, D!3, k7_nattra_1(A!0, k11_cat_2(B!1, C!2), D!3)))) | (~v1_funct_2(k14_isocat_2(A!0, B!1, C!2, D!3, D!3, k7_nattra_1(A!0, k11_cat_2(B!1, C!2), D!3)), u1_cat_1(A!0), u2_cat_1(C!2))) | (~m2_relset_1(k14_isocat_2(A!0, B!1, C!2, D!3, D!3, k7_nattra_1(A!0, k11_cat_2(B!1, C!2), D!3)), u1_cat_1(A!0), u2_cat_1(C!2))))))),
% 37.01/23.75      inference(quant_inst,[status(thm)],[])).
% 37.01/23.75  tff(646,plain,
% 37.01/23.75      ((~![E: $i] : ((~m1_nattra_1(E, A!0, C!2, k12_isocat_2(A!0, B!1, C!2, D!3), k12_isocat_2(A!0, B!1, C!2, D!3))) | (~((~v1_funct_1(E)) | (~v1_funct_2(E, u1_cat_1(A!0), u2_cat_1(C!2))) | (~m2_relset_1(E, u1_cat_1(A!0), u2_cat_1(C!2))))))) | (~m1_nattra_1(k14_isocat_2(A!0, B!1, C!2, D!3, D!3, k7_nattra_1(A!0, k11_cat_2(B!1, C!2), D!3)), A!0, C!2, k12_isocat_2(A!0, B!1, C!2, D!3), k12_isocat_2(A!0, B!1, C!2, D!3))) | (~((~v1_funct_1(k14_isocat_2(A!0, B!1, C!2, D!3, D!3, k7_nattra_1(A!0, k11_cat_2(B!1, C!2), D!3)))) | (~v1_funct_2(k14_isocat_2(A!0, B!1, C!2, D!3, D!3, k7_nattra_1(A!0, k11_cat_2(B!1, C!2), D!3)), u1_cat_1(A!0), u2_cat_1(C!2))) | (~m2_relset_1(k14_isocat_2(A!0, B!1, C!2, D!3, D!3, k7_nattra_1(A!0, k11_cat_2(B!1, C!2), D!3)), u1_cat_1(A!0), u2_cat_1(C!2)))))),
% 37.01/23.75      inference(modus_ponens,[status(thm)],[645, 644])).
% 37.01/23.75  tff(647,plain,
% 37.01/23.75      (~((~v1_funct_1(k14_isocat_2(A!0, B!1, C!2, D!3, D!3, k7_nattra_1(A!0, k11_cat_2(B!1, C!2), D!3)))) | (~v1_funct_2(k14_isocat_2(A!0, B!1, C!2, D!3, D!3, k7_nattra_1(A!0, k11_cat_2(B!1, C!2), D!3)), u1_cat_1(A!0), u2_cat_1(C!2))) | (~m2_relset_1(k14_isocat_2(A!0, B!1, C!2, D!3, D!3, k7_nattra_1(A!0, k11_cat_2(B!1, C!2), D!3)), u1_cat_1(A!0), u2_cat_1(C!2))))),
% 37.01/23.75      inference(unit_resolution,[status(thm)],[646, 643, 636])).
% 37.01/23.75  tff(648,plain,
% 37.01/23.75      (((~v1_funct_1(k14_isocat_2(A!0, B!1, C!2, D!3, D!3, k7_nattra_1(A!0, k11_cat_2(B!1, C!2), D!3)))) | (~v1_funct_2(k14_isocat_2(A!0, B!1, C!2, D!3, D!3, k7_nattra_1(A!0, k11_cat_2(B!1, C!2), D!3)), u1_cat_1(A!0), u2_cat_1(C!2))) | (~m2_relset_1(k14_isocat_2(A!0, B!1, C!2, D!3, D!3, k7_nattra_1(A!0, k11_cat_2(B!1, C!2), D!3)), u1_cat_1(A!0), u2_cat_1(C!2)))) | v1_funct_1(k14_isocat_2(A!0, B!1, C!2, D!3, D!3, k7_nattra_1(A!0, k11_cat_2(B!1, C!2), D!3)))),
% 37.01/23.75      inference(tautology,[status(thm)],[])).
% 37.01/23.75  tff(649,plain,
% 37.01/23.75      (v1_funct_1(k14_isocat_2(A!0, B!1, C!2, D!3, D!3, k7_nattra_1(A!0, k11_cat_2(B!1, C!2), D!3)))),
% 37.01/23.75      inference(unit_resolution,[status(thm)],[648, 647])).
% 37.01/23.75  tff(650,plain,
% 37.01/23.75      (v1_funct_1(k6_isocat_1(A!0, k11_cat_2(B!1, C!2), C!2, D!3, D!3, k7_nattra_1(A!0, k11_cat_2(B!1, C!2), D!3), k17_cat_2(B!1, C!2)))),
% 37.01/23.75      inference(modus_ponens,[status(thm)],[649, 599])).
% 37.01/23.75  tff(651,plain,
% 37.01/23.75      (^[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))))))))),
% 37.01/23.75      inference(bind,[status(th)],[])).
% 37.01/23.75  tff(652,plain,
% 37.01/23.75      (![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)))))))),
% 37.01/23.75      inference(quant_intro,[status(thm)],[651])).
% 37.01/23.75  tff(653,plain,
% 37.01/23.75      (^[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))))))),
% 37.01/23.75      inference(bind,[status(th)],[])).
% 37.01/23.75  tff(654,plain,
% 37.01/23.75      (![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)))))),
% 37.01/23.75      inference(quant_intro,[status(thm)],[653])).
% 37.01/23.75  tff(655,plain,
% 37.01/23.75      (^[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))))))),
% 37.01/23.75      inference(bind,[status(th)],[])).
% 37.01/23.75  tff(656,plain,
% 37.01/23.75      (![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)))))),
% 37.01/23.75      inference(quant_intro,[status(thm)],[655])).
% 37.01/23.75  tff(657,plain,
% 37.01/23.75      (![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)))))),
% 37.01/23.75      inference(transitivity,[status(thm)],[656, 654])).
% 37.01/23.75  tff(658,plain,
% 37.01/23.75      (^[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)))))))),
% 37.01/23.76      inference(bind,[status(th)],[])).
% 37.01/23.76  tff(659,plain,
% 37.01/23.76      (![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)))))),
% 37.01/23.76      inference(quant_intro,[status(thm)],[658])).
% 37.01/23.76  tff(660,plain,
% 37.01/23.76      (![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)))))))),
% 37.01/23.76      inference(rewrite,[status(thm)],[])).
% 37.01/23.76  tff(661,plain,
% 37.01/23.76      (^[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)))))))))),
% 37.01/23.76      inference(bind,[status(th)],[])).
% 37.01/23.76  tff(662,plain,
% 37.01/23.76      (![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)))))))),
% 37.01/23.76      inference(quant_intro,[status(thm)],[661])).
% 37.01/23.76  tff(663,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')).
% 37.01/23.76  tff(664,plain,
% 37.01/23.76      (![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)))))))),
% 37.01/23.76      inference(modus_ponens,[status(thm)],[663, 662])).
% 37.01/23.76  tff(665,plain,
% 37.01/23.76      (![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)))))))),
% 37.01/23.76      inference(modus_ponens,[status(thm)],[664, 660])).
% 37.01/23.76  tff(666,plain,(
% 37.01/23.76      ![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)))))))),
% 37.01/23.76      inference(skolemize,[status(sab)],[665])).
% 37.01/23.76  tff(667,plain,
% 37.01/23.76      (![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)))))),
% 37.01/23.76      inference(modus_ponens,[status(thm)],[666, 659])).
% 37.01/23.76  tff(668,plain,
% 37.01/23.76      (![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)))))),
% 37.01/23.76      inference(modus_ponens,[status(thm)],[667, 657])).
% 37.01/23.76  tff(669,plain,
% 37.01/23.76      (![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)))))))),
% 37.01/23.76      inference(modus_ponens,[status(thm)],[668, 652])).
% 37.01/23.76  tff(670,plain,
% 37.01/23.76      (((~![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)))))))),
% 37.01/23.76      inference(rewrite,[status(thm)],[])).
% 37.01/23.76  tff(671,plain,
% 37.01/23.76      ((~![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)))))))),
% 37.01/23.76      inference(quant_inst,[status(thm)],[])).
% 37.01/23.76  tff(672,plain,
% 37.01/23.76      ((~![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))))))),
% 37.01/23.76      inference(modus_ponens,[status(thm)],[671, 670])).
% 37.01/23.76  tff(673,plain,
% 37.01/23.76      (![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))))))),
% 37.01/23.76      inference(unit_resolution,[status(thm)],[672, 71, 70, 669])).
% 37.01/23.76  tff(674,plain,
% 37.01/23.76      (((~![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))))))),
% 37.01/23.76      inference(rewrite,[status(thm)],[])).
% 37.01/23.76  tff(675,plain,
% 37.01/23.76      ((~![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))))))),
% 37.01/23.76      inference(quant_inst,[status(thm)],[])).
% 37.01/23.76  tff(676,plain,
% 37.01/23.76      ((~![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)))))),
% 37.01/23.76      inference(modus_ponens,[status(thm)],[675, 674])).
% 37.01/23.76  tff(677,plain,
% 37.01/23.76      (![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)))))),
% 37.01/23.76      inference(unit_resolution,[status(thm)],[676, 40, 39, 673])).
% 37.01/23.76  tff(678,plain,
% 37.01/23.76      (((~![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)))))),
% 37.01/23.76      inference(rewrite,[status(thm)],[])).
% 37.01/23.76  tff(679,plain,
% 37.01/23.76      ((~![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)))))),
% 37.08/23.77      inference(quant_inst,[status(thm)],[])).
% 37.08/23.77  tff(680,plain,
% 37.08/23.77      ((~![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))))),
% 37.08/23.77      inference(modus_ponens,[status(thm)],[679, 678])).
% 37.08/23.77  tff(681,plain,
% 37.08/23.77      (![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))))),
% 37.08/23.77      inference(unit_resolution,[status(thm)],[680, 38, 37, 677])).
% 37.08/23.77  tff(682,plain,
% 37.08/23.77      (((~![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))))),
% 37.08/23.77      inference(rewrite,[status(thm)],[])).
% 37.08/23.77  tff(683,plain,
% 37.08/23.77      ((~![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))))),
% 37.08/23.77      inference(quant_inst,[status(thm)],[])).
% 37.08/23.77  tff(684,plain,
% 37.08/23.77      ((~![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)))),
% 37.08/23.77      inference(modus_ponens,[status(thm)],[683, 682])).
% 37.08/23.77  tff(685,plain,
% 37.08/23.77      (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))),
% 37.08/23.77      inference(unit_resolution,[status(thm)],[684, 69, 681])).
% 37.08/23.77  tff(686,plain,
% 37.08/23.77      (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)),
% 37.08/23.77      inference(symmetry,[status(thm)],[685])).
% 37.08/23.77  tff(687,plain,
% 37.08/23.77      (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))),
% 37.08/23.77      inference(monotonicity,[status(thm)],[566])).
% 37.08/23.77  tff(688,plain,
% 37.08/23.77      (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)),
% 37.08/23.77      inference(transitivity,[status(thm)],[687, 686])).
% 37.08/23.77  tff(689,plain,
% 37.08/23.77      (k7_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))) = k7_nattra_1(A!0, C!2, k12_isocat_2(A!0, B!1, C!2, D!3))),
% 37.08/23.77      inference(monotonicity,[status(thm)],[688])).
% 37.08/23.77  tff(690,plain,
% 37.08/23.77      (k7_nattra_1(A!0, C!2, k12_isocat_2(A!0, B!1, C!2, D!3)) = k7_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)))),
% 37.08/23.77      inference(symmetry,[status(thm)],[689])).
% 37.08/23.77  tff(691,plain,
% 37.08/23.77      (k4_nattra_1(A!0, C!2, k12_isocat_2(A!0, B!1, C!2, D!3)) = k7_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)))),
% 37.08/23.77      inference(transitivity,[status(thm)],[596, 690])).
% 37.08/23.77  tff(692,plain,
% 37.08/23.77      (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, D!3, k7_nattra_1(A!0, k11_cat_2(B!1, C!2), D!3), k17_cat_2(B!1, C!2)), k4_nattra_1(A!0, C!2, k12_isocat_2(A!0, B!1, C!2, D!3))) <=> 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, D!3, k7_nattra_1(A!0, k11_cat_2(B!1, C!2), D!3), k17_cat_2(B!1, C!2)), k7_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))))),
% 37.08/23.77      inference(monotonicity,[status(thm)],[691])).
% 37.08/23.77  tff(693,plain,
% 37.08/23.77      (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, D!3, k7_nattra_1(A!0, k11_cat_2(B!1, C!2), D!3), k17_cat_2(B!1, C!2)), k7_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)))) <=> 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, D!3, k7_nattra_1(A!0, k11_cat_2(B!1, C!2), D!3), k17_cat_2(B!1, C!2)), k4_nattra_1(A!0, C!2, k12_isocat_2(A!0, B!1, C!2, D!3)))),
% 37.08/23.77      inference(symmetry,[status(thm)],[692])).
% 37.08/23.77  tff(694,plain,
% 37.08/23.77      (((~![C: $i] : ((~l1_cat_1(C)) | (~v2_cat_1(C)) | ![D: $i] : ((~m2_cat_1(D, A!0, k11_cat_2(B!1, C!2))) | ![E: $i] : ((~m2_cat_1(E, k11_cat_2(B!1, C!2), C)) | r4_nattra_1(u1_cat_1(A!0), u2_cat_1(C), u1_cat_1(A!0), u2_cat_1(C), k6_isocat_1(A!0, k11_cat_2(B!1, C!2), C, D, D, k7_nattra_1(A!0, k11_cat_2(B!1, C!2), D), E), k7_nattra_1(A!0, C, k2_isocat_1(A!0, k11_cat_2(B!1, C!2), C, D, E))))))) | ((~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, k11_cat_2(B!1, C!2), 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), k6_isocat_1(A!0, k11_cat_2(B!1, C!2), C!2, D, D, k7_nattra_1(A!0, k11_cat_2(B!1, C!2), D), E), k7_nattra_1(A!0, C!2, k2_isocat_1(A!0, k11_cat_2(B!1, C!2), C!2, D, E))))))) <=> ((~![C: $i] : ((~l1_cat_1(C)) | (~v2_cat_1(C)) | ![D: $i] : ((~m2_cat_1(D, A!0, k11_cat_2(B!1, C!2))) | ![E: $i] : ((~m2_cat_1(E, k11_cat_2(B!1, C!2), C)) | r4_nattra_1(u1_cat_1(A!0), u2_cat_1(C), u1_cat_1(A!0), u2_cat_1(C), k6_isocat_1(A!0, k11_cat_2(B!1, C!2), C, D, D, k7_nattra_1(A!0, k11_cat_2(B!1, C!2), D), E), k7_nattra_1(A!0, C, k2_isocat_1(A!0, k11_cat_2(B!1, C!2), C, D, E))))))) | (~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, k11_cat_2(B!1, C!2), 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), k6_isocat_1(A!0, k11_cat_2(B!1, C!2), C!2, D, D, k7_nattra_1(A!0, k11_cat_2(B!1, C!2), D), E), k7_nattra_1(A!0, C!2, k2_isocat_1(A!0, k11_cat_2(B!1, C!2), C!2, D, E))))))),
% 37.08/23.77      inference(rewrite,[status(thm)],[])).
% 37.08/23.77  tff(695,plain,
% 37.08/23.77      ((~![C: $i] : ((~l1_cat_1(C)) | (~v2_cat_1(C)) | ![D: $i] : ((~m2_cat_1(D, A!0, k11_cat_2(B!1, C!2))) | ![E: $i] : ((~m2_cat_1(E, k11_cat_2(B!1, C!2), C)) | r4_nattra_1(u1_cat_1(A!0), u2_cat_1(C), u1_cat_1(A!0), u2_cat_1(C), k6_isocat_1(A!0, k11_cat_2(B!1, C!2), C, D, D, k7_nattra_1(A!0, k11_cat_2(B!1, C!2), D), E), k7_nattra_1(A!0, C, k2_isocat_1(A!0, k11_cat_2(B!1, C!2), C, D, E))))))) | ((~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, k11_cat_2(B!1, C!2), 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), k6_isocat_1(A!0, k11_cat_2(B!1, C!2), C!2, D, D, k7_nattra_1(A!0, k11_cat_2(B!1, C!2), D), E), k7_nattra_1(A!0, C!2, k2_isocat_1(A!0, k11_cat_2(B!1, C!2), C!2, D, E))))))),
% 37.08/23.77      inference(quant_inst,[status(thm)],[])).
% 37.08/23.77  tff(696,plain,
% 37.08/23.77      ((~![C: $i] : ((~l1_cat_1(C)) | (~v2_cat_1(C)) | ![D: $i] : ((~m2_cat_1(D, A!0, k11_cat_2(B!1, C!2))) | ![E: $i] : ((~m2_cat_1(E, k11_cat_2(B!1, C!2), C)) | r4_nattra_1(u1_cat_1(A!0), u2_cat_1(C), u1_cat_1(A!0), u2_cat_1(C), k6_isocat_1(A!0, k11_cat_2(B!1, C!2), C, D, D, k7_nattra_1(A!0, k11_cat_2(B!1, C!2), D), E), k7_nattra_1(A!0, C, k2_isocat_1(A!0, k11_cat_2(B!1, C!2), C, D, E))))))) | (~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, k11_cat_2(B!1, C!2), 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), k6_isocat_1(A!0, k11_cat_2(B!1, C!2), C!2, D, D, k7_nattra_1(A!0, k11_cat_2(B!1, C!2), D), E), k7_nattra_1(A!0, C!2, k2_isocat_1(A!0, k11_cat_2(B!1, C!2), C!2, D, E)))))),
% 37.08/23.78      inference(modus_ponens,[status(thm)],[695, 694])).
% 37.08/23.78  tff(697,plain,
% 37.08/23.78      (![D: $i] : ((~m2_cat_1(D, A!0, k11_cat_2(B!1, C!2))) | ![E: $i] : ((~m2_cat_1(E, k11_cat_2(B!1, C!2), 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), k6_isocat_1(A!0, k11_cat_2(B!1, C!2), C!2, D, D, k7_nattra_1(A!0, k11_cat_2(B!1, C!2), D), E), k7_nattra_1(A!0, C!2, k2_isocat_1(A!0, k11_cat_2(B!1, C!2), C!2, D, E)))))),
% 37.08/23.78      inference(unit_resolution,[status(thm)],[696, 38, 37, 359])).
% 37.08/23.78  tff(698,plain,
% 37.08/23.78      (((~![D: $i] : ((~m2_cat_1(D, A!0, k11_cat_2(B!1, C!2))) | ![E: $i] : ((~m2_cat_1(E, k11_cat_2(B!1, C!2), 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), k6_isocat_1(A!0, k11_cat_2(B!1, C!2), C!2, D, D, k7_nattra_1(A!0, k11_cat_2(B!1, C!2), D), E), k7_nattra_1(A!0, C!2, k2_isocat_1(A!0, k11_cat_2(B!1, C!2), C!2, D, E)))))) | ((~m2_cat_1(D!3, A!0, k11_cat_2(B!1, C!2))) | ![E: $i] : ((~m2_cat_1(E, k11_cat_2(B!1, C!2), 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), k6_isocat_1(A!0, k11_cat_2(B!1, C!2), C!2, D!3, D!3, k7_nattra_1(A!0, k11_cat_2(B!1, C!2), D!3), E), k7_nattra_1(A!0, C!2, k2_isocat_1(A!0, k11_cat_2(B!1, C!2), C!2, D!3, E)))))) <=> ((~![D: $i] : ((~m2_cat_1(D, A!0, k11_cat_2(B!1, C!2))) | ![E: $i] : ((~m2_cat_1(E, k11_cat_2(B!1, C!2), 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), k6_isocat_1(A!0, k11_cat_2(B!1, C!2), C!2, D, D, k7_nattra_1(A!0, k11_cat_2(B!1, C!2), D), E), k7_nattra_1(A!0, C!2, k2_isocat_1(A!0, k11_cat_2(B!1, C!2), C!2, D, E)))))) | (~m2_cat_1(D!3, A!0, k11_cat_2(B!1, C!2))) | ![E: $i] : ((~m2_cat_1(E, k11_cat_2(B!1, C!2), 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), k6_isocat_1(A!0, k11_cat_2(B!1, C!2), C!2, D!3, D!3, k7_nattra_1(A!0, k11_cat_2(B!1, C!2), D!3), E), k7_nattra_1(A!0, C!2, k2_isocat_1(A!0, k11_cat_2(B!1, C!2), C!2, D!3, E)))))),
% 37.08/23.78      inference(rewrite,[status(thm)],[])).
% 37.08/23.78  tff(699,plain,
% 37.08/23.78      ((~![D: $i] : ((~m2_cat_1(D, A!0, k11_cat_2(B!1, C!2))) | ![E: $i] : ((~m2_cat_1(E, k11_cat_2(B!1, C!2), 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), k6_isocat_1(A!0, k11_cat_2(B!1, C!2), C!2, D, D, k7_nattra_1(A!0, k11_cat_2(B!1, C!2), D), E), k7_nattra_1(A!0, C!2, k2_isocat_1(A!0, k11_cat_2(B!1, C!2), C!2, D, E)))))) | ((~m2_cat_1(D!3, A!0, k11_cat_2(B!1, C!2))) | ![E: $i] : ((~m2_cat_1(E, k11_cat_2(B!1, C!2), 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), k6_isocat_1(A!0, k11_cat_2(B!1, C!2), C!2, D!3, D!3, k7_nattra_1(A!0, k11_cat_2(B!1, C!2), D!3), E), k7_nattra_1(A!0, C!2, k2_isocat_1(A!0, k11_cat_2(B!1, C!2), C!2, D!3, E)))))),
% 37.08/23.78      inference(quant_inst,[status(thm)],[])).
% 37.08/23.78  tff(700,plain,
% 37.08/23.78      ((~![D: $i] : ((~m2_cat_1(D, A!0, k11_cat_2(B!1, C!2))) | ![E: $i] : ((~m2_cat_1(E, k11_cat_2(B!1, C!2), 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), k6_isocat_1(A!0, k11_cat_2(B!1, C!2), C!2, D, D, k7_nattra_1(A!0, k11_cat_2(B!1, C!2), D), E), k7_nattra_1(A!0, C!2, k2_isocat_1(A!0, k11_cat_2(B!1, C!2), C!2, D, E)))))) | (~m2_cat_1(D!3, A!0, k11_cat_2(B!1, C!2))) | ![E: $i] : ((~m2_cat_1(E, k11_cat_2(B!1, C!2), 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), k6_isocat_1(A!0, k11_cat_2(B!1, C!2), C!2, D!3, D!3, k7_nattra_1(A!0, k11_cat_2(B!1, C!2), D!3), E), k7_nattra_1(A!0, C!2, k2_isocat_1(A!0, k11_cat_2(B!1, C!2), C!2, D!3, E))))),
% 37.08/23.78      inference(modus_ponens,[status(thm)],[699, 698])).
% 37.08/23.78  tff(701,plain,
% 37.08/23.78      (![E: $i] : ((~m2_cat_1(E, k11_cat_2(B!1, C!2), 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), k6_isocat_1(A!0, k11_cat_2(B!1, C!2), C!2, D!3, D!3, k7_nattra_1(A!0, k11_cat_2(B!1, C!2), D!3), E), k7_nattra_1(A!0, C!2, k2_isocat_1(A!0, k11_cat_2(B!1, C!2), C!2, D!3, E))))),
% 37.08/23.78      inference(unit_resolution,[status(thm)],[700, 69, 697])).
% 37.08/23.78  tff(702,plain,
% 37.08/23.78      (^[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))))),
% 37.08/23.78      inference(bind,[status(th)],[])).
% 37.08/23.78  tff(703,plain,
% 37.08/23.78      (![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)))),
% 37.08/23.78      inference(quant_intro,[status(thm)],[702])).
% 37.08/23.78  tff(704,plain,
% 37.08/23.78      (^[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)))))),
% 37.08/23.78      inference(bind,[status(th)],[])).
% 37.08/23.78  tff(705,plain,
% 37.08/23.78      (![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)))),
% 37.08/23.78      inference(quant_intro,[status(thm)],[704])).
% 37.08/23.78  tff(706,plain,
% 37.08/23.78      (![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))),
% 37.08/23.78      inference(rewrite,[status(thm)],[])).
% 37.08/23.78  tff(707,plain,
% 37.08/23.78      (^[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))))),
% 37.08/23.78      inference(bind,[status(th)],[])).
% 37.08/23.78  tff(708,plain,
% 37.08/23.78      (![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))),
% 37.08/23.78      inference(quant_intro,[status(thm)],[707])).
% 37.08/23.78  tff(709,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')).
% 37.08/23.78  tff(710,plain,
% 37.08/23.78      (![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))),
% 37.08/23.78      inference(modus_ponens,[status(thm)],[709, 708])).
% 37.08/23.78  tff(711,plain,
% 37.08/23.78      (![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))),
% 37.08/23.78      inference(modus_ponens,[status(thm)],[710, 706])).
% 37.08/23.78  tff(712,plain,(
% 37.08/23.78      ![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))),
% 37.08/23.78      inference(skolemize,[status(sab)],[711])).
% 37.08/23.78  tff(713,plain,
% 37.08/23.78      (![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)))),
% 37.08/23.78      inference(modus_ponens,[status(thm)],[712, 705])).
% 37.08/23.78  tff(714,plain,
% 37.08/23.78      (![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)))),
% 37.08/23.78      inference(modus_ponens,[status(thm)],[713, 703])).
% 37.08/23.78  tff(715,plain,
% 37.08/23.78      (((~![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)))) | ((~v2_cat_1(B!1)) | (~l1_cat_1(B!1)) | (~v2_cat_1(C!2)) | (~l1_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)))) | (~v2_cat_1(B!1)) | (~l1_cat_1(B!1)) | (~v2_cat_1(C!2)) | (~l1_cat_1(C!2)) | m2_cat_1(k17_cat_2(B!1, C!2), k11_cat_2(B!1, C!2), C!2))),
% 37.08/23.78      inference(rewrite,[status(thm)],[])).
% 37.08/23.78  tff(716,plain,
% 37.08/23.78      ((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))) <=> ((~v2_cat_1(B!1)) | (~l1_cat_1(B!1)) | (~v2_cat_1(C!2)) | (~l1_cat_1(C!2)) | m2_cat_1(k17_cat_2(B!1, C!2), k11_cat_2(B!1, C!2), C!2))),
% 37.08/23.78      inference(rewrite,[status(thm)],[])).
% 37.08/23.78  tff(717,plain,
% 37.08/23.78      (((~![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)))) | ((~v2_cat_1(B!1)) | (~l1_cat_1(B!1)) | (~v2_cat_1(C!2)) | (~l1_cat_1(C!2)) | m2_cat_1(k17_cat_2(B!1, C!2), k11_cat_2(B!1, C!2), C!2)))),
% 37.08/23.78      inference(monotonicity,[status(thm)],[716])).
% 37.08/23.78  tff(718,plain,
% 37.08/23.78      (((~![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)))) | (~v2_cat_1(B!1)) | (~l1_cat_1(B!1)) | (~v2_cat_1(C!2)) | (~l1_cat_1(C!2)) | m2_cat_1(k17_cat_2(B!1, C!2), k11_cat_2(B!1, C!2), C!2))),
% 37.08/23.78      inference(transitivity,[status(thm)],[717, 715])).
% 37.08/23.78  tff(719,plain,
% 37.08/23.78      ((~![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)))),
% 37.08/23.78      inference(quant_inst,[status(thm)],[])).
% 37.08/23.78  tff(720,plain,
% 37.08/23.78      ((~![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)))) | (~v2_cat_1(B!1)) | (~l1_cat_1(B!1)) | (~v2_cat_1(C!2)) | (~l1_cat_1(C!2)) | m2_cat_1(k17_cat_2(B!1, C!2), k11_cat_2(B!1, C!2), C!2)),
% 37.08/23.79      inference(modus_ponens,[status(thm)],[719, 718])).
% 37.08/23.79  tff(721,plain,
% 37.08/23.79      (m2_cat_1(k17_cat_2(B!1, C!2), k11_cat_2(B!1, C!2), C!2)),
% 37.08/23.79      inference(unit_resolution,[status(thm)],[720, 40, 39, 38, 37, 714])).
% 37.08/23.79  tff(722,plain,
% 37.08/23.79      (((~![E: $i] : ((~m2_cat_1(E, k11_cat_2(B!1, C!2), 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), k6_isocat_1(A!0, k11_cat_2(B!1, C!2), C!2, D!3, D!3, k7_nattra_1(A!0, k11_cat_2(B!1, C!2), D!3), E), k7_nattra_1(A!0, C!2, k2_isocat_1(A!0, k11_cat_2(B!1, C!2), C!2, D!3, E))))) | ((~m2_cat_1(k17_cat_2(B!1, C!2), k11_cat_2(B!1, C!2), 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), k6_isocat_1(A!0, k11_cat_2(B!1, C!2), C!2, D!3, D!3, k7_nattra_1(A!0, k11_cat_2(B!1, C!2), D!3), k17_cat_2(B!1, C!2)), k7_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)))))) <=> ((~![E: $i] : ((~m2_cat_1(E, k11_cat_2(B!1, C!2), 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), k6_isocat_1(A!0, k11_cat_2(B!1, C!2), C!2, D!3, D!3, k7_nattra_1(A!0, k11_cat_2(B!1, C!2), D!3), E), k7_nattra_1(A!0, C!2, k2_isocat_1(A!0, k11_cat_2(B!1, C!2), C!2, D!3, E))))) | (~m2_cat_1(k17_cat_2(B!1, C!2), k11_cat_2(B!1, C!2), 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), k6_isocat_1(A!0, k11_cat_2(B!1, C!2), C!2, D!3, D!3, k7_nattra_1(A!0, k11_cat_2(B!1, C!2), D!3), k17_cat_2(B!1, C!2)), k7_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)))))),
% 37.08/23.79      inference(rewrite,[status(thm)],[])).
% 37.08/23.79  tff(723,plain,
% 37.08/23.79      ((~![E: $i] : ((~m2_cat_1(E, k11_cat_2(B!1, C!2), 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), k6_isocat_1(A!0, k11_cat_2(B!1, C!2), C!2, D!3, D!3, k7_nattra_1(A!0, k11_cat_2(B!1, C!2), D!3), E), k7_nattra_1(A!0, C!2, k2_isocat_1(A!0, k11_cat_2(B!1, C!2), C!2, D!3, E))))) | ((~m2_cat_1(k17_cat_2(B!1, C!2), k11_cat_2(B!1, C!2), 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), k6_isocat_1(A!0, k11_cat_2(B!1, C!2), C!2, D!3, D!3, k7_nattra_1(A!0, k11_cat_2(B!1, C!2), D!3), k17_cat_2(B!1, C!2)), k7_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)))))),
% 37.08/23.79      inference(quant_inst,[status(thm)],[])).
% 37.08/23.79  tff(724,plain,
% 37.08/23.79      ((~![E: $i] : ((~m2_cat_1(E, k11_cat_2(B!1, C!2), 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), k6_isocat_1(A!0, k11_cat_2(B!1, C!2), C!2, D!3, D!3, k7_nattra_1(A!0, k11_cat_2(B!1, C!2), D!3), E), k7_nattra_1(A!0, C!2, k2_isocat_1(A!0, k11_cat_2(B!1, C!2), C!2, D!3, E))))) | (~m2_cat_1(k17_cat_2(B!1, C!2), k11_cat_2(B!1, C!2), 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), k6_isocat_1(A!0, k11_cat_2(B!1, C!2), C!2, D!3, D!3, k7_nattra_1(A!0, k11_cat_2(B!1, C!2), D!3), k17_cat_2(B!1, C!2)), k7_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))))),
% 37.08/23.79      inference(modus_ponens,[status(thm)],[723, 722])).
% 37.08/23.79  tff(725,plain,
% 37.08/23.79      (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, D!3, k7_nattra_1(A!0, k11_cat_2(B!1, C!2), D!3), k17_cat_2(B!1, C!2)), k7_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))))),
% 37.08/23.79      inference(unit_resolution,[status(thm)],[724, 721, 701])).
% 37.08/23.79  tff(726,plain,
% 37.08/23.79      (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, D!3, k7_nattra_1(A!0, k11_cat_2(B!1, C!2), D!3), k17_cat_2(B!1, C!2)), k4_nattra_1(A!0, C!2, k12_isocat_2(A!0, B!1, C!2, D!3)))),
% 37.08/23.79      inference(modus_ponens,[status(thm)],[725, 693])).
% 37.08/23.79  tff(727,plain,
% 37.08/23.79      (v1_funct_2(k6_isocat_1(A!0, k11_cat_2(B!1, C!2), C!2, D!3, D!3, k7_nattra_1(A!0, k11_cat_2(B!1, C!2), D!3), k17_cat_2(B!1, C!2)), u1_cat_1(A!0), u2_cat_1(C!2)) <=> v1_funct_2(k14_isocat_2(A!0, B!1, C!2, D!3, D!3, k7_nattra_1(A!0, k11_cat_2(B!1, C!2), D!3)), u1_cat_1(A!0), u2_cat_1(C!2))),
% 37.08/23.80      inference(monotonicity,[status(thm)],[568])).
% 37.08/23.80  tff(728,plain,
% 37.08/23.80      (v1_funct_2(k14_isocat_2(A!0, B!1, C!2, D!3, D!3, k7_nattra_1(A!0, k11_cat_2(B!1, C!2), D!3)), u1_cat_1(A!0), u2_cat_1(C!2)) <=> v1_funct_2(k6_isocat_1(A!0, k11_cat_2(B!1, C!2), C!2, D!3, D!3, k7_nattra_1(A!0, k11_cat_2(B!1, C!2), D!3), k17_cat_2(B!1, C!2)), u1_cat_1(A!0), u2_cat_1(C!2))),
% 37.08/23.80      inference(symmetry,[status(thm)],[727])).
% 37.08/23.80  tff(729,plain,
% 37.08/23.80      (((~v1_funct_1(k14_isocat_2(A!0, B!1, C!2, D!3, D!3, k7_nattra_1(A!0, k11_cat_2(B!1, C!2), D!3)))) | (~v1_funct_2(k14_isocat_2(A!0, B!1, C!2, D!3, D!3, k7_nattra_1(A!0, k11_cat_2(B!1, C!2), D!3)), u1_cat_1(A!0), u2_cat_1(C!2))) | (~m2_relset_1(k14_isocat_2(A!0, B!1, C!2, D!3, D!3, k7_nattra_1(A!0, k11_cat_2(B!1, C!2), D!3)), u1_cat_1(A!0), u2_cat_1(C!2)))) | v1_funct_2(k14_isocat_2(A!0, B!1, C!2, D!3, D!3, k7_nattra_1(A!0, k11_cat_2(B!1, C!2), D!3)), u1_cat_1(A!0), u2_cat_1(C!2))),
% 37.08/23.80      inference(tautology,[status(thm)],[])).
% 37.08/23.80  tff(730,plain,
% 37.08/23.80      (v1_funct_2(k14_isocat_2(A!0, B!1, C!2, D!3, D!3, k7_nattra_1(A!0, k11_cat_2(B!1, C!2), D!3)), u1_cat_1(A!0), u2_cat_1(C!2))),
% 37.08/23.80      inference(unit_resolution,[status(thm)],[729, 647])).
% 37.08/23.80  tff(731,plain,
% 37.08/23.80      (v1_funct_2(k6_isocat_1(A!0, k11_cat_2(B!1, C!2), C!2, D!3, D!3, k7_nattra_1(A!0, k11_cat_2(B!1, C!2), D!3), k17_cat_2(B!1, C!2)), u1_cat_1(A!0), u2_cat_1(C!2))),
% 37.08/23.80      inference(modus_ponens,[status(thm)],[730, 728])).
% 37.08/23.80  tff(732,plain,
% 37.08/23.80      (k6_isocat_1(A!0, k11_cat_2(B!1, C!2), C!2, D!3, D!3, k4_nattra_1(A!0, k11_cat_2(B!1, C!2), D!3), k9_isocat_2(B!1, C!2)) = k6_isocat_1(A!0, k11_cat_2(B!1, C!2), C!2, D!3, D!3, k7_nattra_1(A!0, k11_cat_2(B!1, C!2), D!3), k17_cat_2(B!1, C!2))),
% 37.08/23.80      inference(symmetry,[status(thm)],[567])).
% 37.08/23.80  tff(733,plain,
% 37.08/23.80      (k14_isocat_2(A!0, B!1, C!2, D!3, D!3, k7_nattra_1(A!0, k11_cat_2(B!1, C!2), D!3)) = k6_isocat_1(A!0, k11_cat_2(B!1, C!2), C!2, D!3, D!3, k7_nattra_1(A!0, k11_cat_2(B!1, C!2), D!3), k17_cat_2(B!1, C!2))),
% 37.08/23.80      inference(transitivity,[status(thm)],[600, 544, 732])).
% 37.08/23.80  tff(734,plain,
% 37.08/23.80      (m1_relset_1(k14_isocat_2(A!0, B!1, C!2, D!3, D!3, k7_nattra_1(A!0, k11_cat_2(B!1, C!2), D!3)), u1_cat_1(A!0), u2_cat_1(C!2)) <=> m1_relset_1(k6_isocat_1(A!0, k11_cat_2(B!1, C!2), C!2, D!3, D!3, k7_nattra_1(A!0, k11_cat_2(B!1, C!2), D!3), k17_cat_2(B!1, C!2)), u1_cat_1(A!0), u2_cat_1(C!2))),
% 37.08/23.80      inference(monotonicity,[status(thm)],[733])).
% 37.08/23.80  tff(735,plain,
% 37.08/23.80      ((~![A: $i, B: $i, C: $i] : (m2_relset_1(C, A, B) <=> m1_relset_1(C, A, B))) | (m2_relset_1(k14_isocat_2(A!0, B!1, C!2, D!3, D!3, k7_nattra_1(A!0, k11_cat_2(B!1, C!2), D!3)), u1_cat_1(A!0), u2_cat_1(C!2)) <=> m1_relset_1(k14_isocat_2(A!0, B!1, C!2, D!3, D!3, k7_nattra_1(A!0, k11_cat_2(B!1, C!2), D!3)), u1_cat_1(A!0), u2_cat_1(C!2)))),
% 37.08/23.80      inference(quant_inst,[status(thm)],[])).
% 37.08/23.80  tff(736,plain,
% 37.08/23.80      (m2_relset_1(k14_isocat_2(A!0, B!1, C!2, D!3, D!3, k7_nattra_1(A!0, k11_cat_2(B!1, C!2), D!3)), u1_cat_1(A!0), u2_cat_1(C!2)) <=> m1_relset_1(k14_isocat_2(A!0, B!1, C!2, D!3, D!3, k7_nattra_1(A!0, k11_cat_2(B!1, C!2), D!3)), u1_cat_1(A!0), u2_cat_1(C!2))),
% 37.08/23.80      inference(unit_resolution,[status(thm)],[735, 407])).
% 37.08/23.80  tff(737,plain,
% 37.08/23.80      (((~v1_funct_1(k14_isocat_2(A!0, B!1, C!2, D!3, D!3, k7_nattra_1(A!0, k11_cat_2(B!1, C!2), D!3)))) | (~v1_funct_2(k14_isocat_2(A!0, B!1, C!2, D!3, D!3, k7_nattra_1(A!0, k11_cat_2(B!1, C!2), D!3)), u1_cat_1(A!0), u2_cat_1(C!2))) | (~m2_relset_1(k14_isocat_2(A!0, B!1, C!2, D!3, D!3, k7_nattra_1(A!0, k11_cat_2(B!1, C!2), D!3)), u1_cat_1(A!0), u2_cat_1(C!2)))) | m2_relset_1(k14_isocat_2(A!0, B!1, C!2, D!3, D!3, k7_nattra_1(A!0, k11_cat_2(B!1, C!2), D!3)), u1_cat_1(A!0), u2_cat_1(C!2))),
% 37.08/23.80      inference(tautology,[status(thm)],[])).
% 37.08/23.80  tff(738,plain,
% 37.08/23.80      (m2_relset_1(k14_isocat_2(A!0, B!1, C!2, D!3, D!3, k7_nattra_1(A!0, k11_cat_2(B!1, C!2), D!3)), u1_cat_1(A!0), u2_cat_1(C!2))),
% 37.08/23.80      inference(unit_resolution,[status(thm)],[737, 647])).
% 37.08/23.80  tff(739,plain,
% 37.08/23.80      ((~(m2_relset_1(k14_isocat_2(A!0, B!1, C!2, D!3, D!3, k7_nattra_1(A!0, k11_cat_2(B!1, C!2), D!3)), u1_cat_1(A!0), u2_cat_1(C!2)) <=> m1_relset_1(k14_isocat_2(A!0, B!1, C!2, D!3, D!3, k7_nattra_1(A!0, k11_cat_2(B!1, C!2), D!3)), u1_cat_1(A!0), u2_cat_1(C!2)))) | (~m2_relset_1(k14_isocat_2(A!0, B!1, C!2, D!3, D!3, k7_nattra_1(A!0, k11_cat_2(B!1, C!2), D!3)), u1_cat_1(A!0), u2_cat_1(C!2))) | m1_relset_1(k14_isocat_2(A!0, B!1, C!2, D!3, D!3, k7_nattra_1(A!0, k11_cat_2(B!1, C!2), D!3)), u1_cat_1(A!0), u2_cat_1(C!2))),
% 37.11/23.80      inference(tautology,[status(thm)],[])).
% 37.11/23.80  tff(740,plain,
% 37.11/23.80      ((~(m2_relset_1(k14_isocat_2(A!0, B!1, C!2, D!3, D!3, k7_nattra_1(A!0, k11_cat_2(B!1, C!2), D!3)), u1_cat_1(A!0), u2_cat_1(C!2)) <=> m1_relset_1(k14_isocat_2(A!0, B!1, C!2, D!3, D!3, k7_nattra_1(A!0, k11_cat_2(B!1, C!2), D!3)), u1_cat_1(A!0), u2_cat_1(C!2)))) | m1_relset_1(k14_isocat_2(A!0, B!1, C!2, D!3, D!3, k7_nattra_1(A!0, k11_cat_2(B!1, C!2), D!3)), u1_cat_1(A!0), u2_cat_1(C!2))),
% 37.11/23.80      inference(unit_resolution,[status(thm)],[739, 738])).
% 37.11/23.80  tff(741,plain,
% 37.11/23.80      (m1_relset_1(k14_isocat_2(A!0, B!1, C!2, D!3, D!3, k7_nattra_1(A!0, k11_cat_2(B!1, C!2), D!3)), u1_cat_1(A!0), u2_cat_1(C!2))),
% 37.11/23.80      inference(unit_resolution,[status(thm)],[740, 736])).
% 37.11/23.80  tff(742,plain,
% 37.11/23.80      (m1_relset_1(k6_isocat_1(A!0, k11_cat_2(B!1, C!2), C!2, D!3, D!3, k7_nattra_1(A!0, k11_cat_2(B!1, C!2), D!3), k17_cat_2(B!1, C!2)), u1_cat_1(A!0), u2_cat_1(C!2))),
% 37.11/23.80      inference(modus_ponens,[status(thm)],[741, 734])).
% 37.11/23.80  tff(743,plain,
% 37.11/23.80      ((~![A: $i, B: $i, C: $i] : (m2_relset_1(C, A, B) <=> m1_relset_1(C, A, B))) | (m2_relset_1(k4_nattra_1(A!0, C!2, k12_isocat_2(A!0, B!1, C!2, D!3)), u1_cat_1(A!0), u2_cat_1(C!2)) <=> m1_relset_1(k4_nattra_1(A!0, C!2, k12_isocat_2(A!0, B!1, C!2, D!3)), u1_cat_1(A!0), u2_cat_1(C!2)))),
% 37.11/23.80      inference(quant_inst,[status(thm)],[])).
% 37.11/23.80  tff(744,plain,
% 37.11/23.80      (m2_relset_1(k4_nattra_1(A!0, C!2, k12_isocat_2(A!0, B!1, C!2, D!3)), u1_cat_1(A!0), u2_cat_1(C!2)) <=> m1_relset_1(k4_nattra_1(A!0, C!2, k12_isocat_2(A!0, B!1, C!2, D!3)), u1_cat_1(A!0), u2_cat_1(C!2))),
% 37.11/23.80      inference(unit_resolution,[status(thm)],[743, 407])).
% 37.11/23.80  tff(745,plain,
% 37.11/23.80      (((~![A: $i, B: $i, C: $i] : (m1_nattra_1(k4_nattra_1(A, B, C), A, B, C, C) | (~m2_cat_1(C, A, B)) | (~v2_cat_1(A)) | (~l1_cat_1(A)) | (~v2_cat_1(B)) | (~l1_cat_1(B)))) | ((~v2_cat_1(A!0)) | (~l1_cat_1(A!0)) | (~v2_cat_1(C!2)) | (~l1_cat_1(C!2)) | (~m2_cat_1(k12_isocat_2(A!0, B!1, C!2, D!3), A!0, C!2)) | m1_nattra_1(k4_nattra_1(A!0, C!2, k12_isocat_2(A!0, B!1, C!2, D!3)), A!0, C!2, k12_isocat_2(A!0, B!1, C!2, D!3), k12_isocat_2(A!0, B!1, C!2, D!3)))) <=> ((~![A: $i, B: $i, C: $i] : (m1_nattra_1(k4_nattra_1(A, B, C), A, B, C, C) | (~m2_cat_1(C, A, B)) | (~v2_cat_1(A)) | (~l1_cat_1(A)) | (~v2_cat_1(B)) | (~l1_cat_1(B)))) | (~v2_cat_1(A!0)) | (~l1_cat_1(A!0)) | (~v2_cat_1(C!2)) | (~l1_cat_1(C!2)) | (~m2_cat_1(k12_isocat_2(A!0, B!1, C!2, D!3), A!0, C!2)) | m1_nattra_1(k4_nattra_1(A!0, C!2, k12_isocat_2(A!0, B!1, C!2, D!3)), A!0, C!2, k12_isocat_2(A!0, B!1, C!2, D!3), k12_isocat_2(A!0, B!1, C!2, D!3)))),
% 37.11/23.80      inference(rewrite,[status(thm)],[])).
% 37.11/23.80  tff(746,plain,
% 37.11/23.80      ((m1_nattra_1(k4_nattra_1(A!0, C!2, k12_isocat_2(A!0, B!1, C!2, D!3)), A!0, C!2, k12_isocat_2(A!0, B!1, C!2, D!3), k12_isocat_2(A!0, B!1, C!2, D!3)) | (~m2_cat_1(k12_isocat_2(A!0, B!1, C!2, D!3), A!0, C!2)) | (~v2_cat_1(A!0)) | (~l1_cat_1(A!0)) | (~v2_cat_1(C!2)) | (~l1_cat_1(C!2))) <=> ((~v2_cat_1(A!0)) | (~l1_cat_1(A!0)) | (~v2_cat_1(C!2)) | (~l1_cat_1(C!2)) | (~m2_cat_1(k12_isocat_2(A!0, B!1, C!2, D!3), A!0, C!2)) | m1_nattra_1(k4_nattra_1(A!0, C!2, k12_isocat_2(A!0, B!1, C!2, D!3)), A!0, C!2, k12_isocat_2(A!0, B!1, C!2, D!3), k12_isocat_2(A!0, B!1, C!2, D!3)))),
% 37.11/23.80      inference(rewrite,[status(thm)],[])).
% 37.11/23.80  tff(747,plain,
% 37.11/23.80      (((~![A: $i, B: $i, C: $i] : (m1_nattra_1(k4_nattra_1(A, B, C), A, B, C, C) | (~m2_cat_1(C, A, B)) | (~v2_cat_1(A)) | (~l1_cat_1(A)) | (~v2_cat_1(B)) | (~l1_cat_1(B)))) | (m1_nattra_1(k4_nattra_1(A!0, C!2, k12_isocat_2(A!0, B!1, C!2, D!3)), A!0, C!2, k12_isocat_2(A!0, B!1, C!2, D!3), k12_isocat_2(A!0, B!1, C!2, D!3)) | (~m2_cat_1(k12_isocat_2(A!0, B!1, C!2, D!3), A!0, C!2)) | (~v2_cat_1(A!0)) | (~l1_cat_1(A!0)) | (~v2_cat_1(C!2)) | (~l1_cat_1(C!2)))) <=> ((~![A: $i, B: $i, C: $i] : (m1_nattra_1(k4_nattra_1(A, B, C), A, B, C, C) | (~m2_cat_1(C, A, B)) | (~v2_cat_1(A)) | (~l1_cat_1(A)) | (~v2_cat_1(B)) | (~l1_cat_1(B)))) | ((~v2_cat_1(A!0)) | (~l1_cat_1(A!0)) | (~v2_cat_1(C!2)) | (~l1_cat_1(C!2)) | (~m2_cat_1(k12_isocat_2(A!0, B!1, C!2, D!3), A!0, C!2)) | m1_nattra_1(k4_nattra_1(A!0, C!2, k12_isocat_2(A!0, B!1, C!2, D!3)), A!0, C!2, k12_isocat_2(A!0, B!1, C!2, D!3), k12_isocat_2(A!0, B!1, C!2, D!3))))),
% 37.11/23.81      inference(monotonicity,[status(thm)],[746])).
% 37.11/23.81  tff(748,plain,
% 37.11/23.81      (((~![A: $i, B: $i, C: $i] : (m1_nattra_1(k4_nattra_1(A, B, C), A, B, C, C) | (~m2_cat_1(C, A, B)) | (~v2_cat_1(A)) | (~l1_cat_1(A)) | (~v2_cat_1(B)) | (~l1_cat_1(B)))) | (m1_nattra_1(k4_nattra_1(A!0, C!2, k12_isocat_2(A!0, B!1, C!2, D!3)), A!0, C!2, k12_isocat_2(A!0, B!1, C!2, D!3), k12_isocat_2(A!0, B!1, C!2, D!3)) | (~m2_cat_1(k12_isocat_2(A!0, B!1, C!2, D!3), A!0, C!2)) | (~v2_cat_1(A!0)) | (~l1_cat_1(A!0)) | (~v2_cat_1(C!2)) | (~l1_cat_1(C!2)))) <=> ((~![A: $i, B: $i, C: $i] : (m1_nattra_1(k4_nattra_1(A, B, C), A, B, C, C) | (~m2_cat_1(C, A, B)) | (~v2_cat_1(A)) | (~l1_cat_1(A)) | (~v2_cat_1(B)) | (~l1_cat_1(B)))) | (~v2_cat_1(A!0)) | (~l1_cat_1(A!0)) | (~v2_cat_1(C!2)) | (~l1_cat_1(C!2)) | (~m2_cat_1(k12_isocat_2(A!0, B!1, C!2, D!3), A!0, C!2)) | m1_nattra_1(k4_nattra_1(A!0, C!2, k12_isocat_2(A!0, B!1, C!2, D!3)), A!0, C!2, k12_isocat_2(A!0, B!1, C!2, D!3), k12_isocat_2(A!0, B!1, C!2, D!3)))),
% 37.11/23.81      inference(transitivity,[status(thm)],[747, 745])).
% 37.11/23.81  tff(749,plain,
% 37.11/23.81      ((~![A: $i, B: $i, C: $i] : (m1_nattra_1(k4_nattra_1(A, B, C), A, B, C, C) | (~m2_cat_1(C, A, B)) | (~v2_cat_1(A)) | (~l1_cat_1(A)) | (~v2_cat_1(B)) | (~l1_cat_1(B)))) | (m1_nattra_1(k4_nattra_1(A!0, C!2, k12_isocat_2(A!0, B!1, C!2, D!3)), A!0, C!2, k12_isocat_2(A!0, B!1, C!2, D!3), k12_isocat_2(A!0, B!1, C!2, D!3)) | (~m2_cat_1(k12_isocat_2(A!0, B!1, C!2, D!3), A!0, C!2)) | (~v2_cat_1(A!0)) | (~l1_cat_1(A!0)) | (~v2_cat_1(C!2)) | (~l1_cat_1(C!2)))),
% 37.11/23.81      inference(quant_inst,[status(thm)],[])).
% 37.11/23.81  tff(750,plain,
% 37.11/23.81      ((~![A: $i, B: $i, C: $i] : (m1_nattra_1(k4_nattra_1(A, B, C), A, B, C, C) | (~m2_cat_1(C, A, B)) | (~v2_cat_1(A)) | (~l1_cat_1(A)) | (~v2_cat_1(B)) | (~l1_cat_1(B)))) | (~v2_cat_1(A!0)) | (~l1_cat_1(A!0)) | (~v2_cat_1(C!2)) | (~l1_cat_1(C!2)) | (~m2_cat_1(k12_isocat_2(A!0, B!1, C!2, D!3), A!0, C!2)) | m1_nattra_1(k4_nattra_1(A!0, C!2, k12_isocat_2(A!0, B!1, C!2, D!3)), A!0, C!2, k12_isocat_2(A!0, B!1, C!2, D!3), k12_isocat_2(A!0, B!1, C!2, D!3))),
% 37.11/23.81      inference(modus_ponens,[status(thm)],[749, 748])).
% 37.11/23.81  tff(751,plain,
% 37.11/23.81      (m1_nattra_1(k4_nattra_1(A!0, C!2, k12_isocat_2(A!0, B!1, C!2, D!3)), A!0, C!2, k12_isocat_2(A!0, B!1, C!2, D!3), k12_isocat_2(A!0, B!1, C!2, D!3))),
% 37.11/23.81      inference(unit_resolution,[status(thm)],[750, 71, 70, 38, 37, 430, 588])).
% 37.11/23.81  tff(752,plain,
% 37.11/23.81      (((~![E: $i] : ((~m1_nattra_1(E, A!0, C!2, k12_isocat_2(A!0, B!1, C!2, D!3), k12_isocat_2(A!0, B!1, C!2, D!3))) | (~((~v1_funct_1(E)) | (~v1_funct_2(E, u1_cat_1(A!0), u2_cat_1(C!2))) | (~m2_relset_1(E, u1_cat_1(A!0), u2_cat_1(C!2))))))) | ((~m1_nattra_1(k4_nattra_1(A!0, C!2, k12_isocat_2(A!0, B!1, C!2, D!3)), A!0, C!2, k12_isocat_2(A!0, B!1, C!2, D!3), k12_isocat_2(A!0, B!1, C!2, D!3))) | (~((~v1_funct_1(k4_nattra_1(A!0, C!2, k12_isocat_2(A!0, B!1, C!2, D!3)))) | (~v1_funct_2(k4_nattra_1(A!0, C!2, k12_isocat_2(A!0, B!1, C!2, D!3)), u1_cat_1(A!0), u2_cat_1(C!2))) | (~m2_relset_1(k4_nattra_1(A!0, C!2, k12_isocat_2(A!0, B!1, C!2, D!3)), u1_cat_1(A!0), u2_cat_1(C!2))))))) <=> ((~![E: $i] : ((~m1_nattra_1(E, A!0, C!2, k12_isocat_2(A!0, B!1, C!2, D!3), k12_isocat_2(A!0, B!1, C!2, D!3))) | (~((~v1_funct_1(E)) | (~v1_funct_2(E, u1_cat_1(A!0), u2_cat_1(C!2))) | (~m2_relset_1(E, u1_cat_1(A!0), u2_cat_1(C!2))))))) | (~m1_nattra_1(k4_nattra_1(A!0, C!2, k12_isocat_2(A!0, B!1, C!2, D!3)), A!0, C!2, k12_isocat_2(A!0, B!1, C!2, D!3), k12_isocat_2(A!0, B!1, C!2, D!3))) | (~((~v1_funct_1(k4_nattra_1(A!0, C!2, k12_isocat_2(A!0, B!1, C!2, D!3)))) | (~v1_funct_2(k4_nattra_1(A!0, C!2, k12_isocat_2(A!0, B!1, C!2, D!3)), u1_cat_1(A!0), u2_cat_1(C!2))) | (~m2_relset_1(k4_nattra_1(A!0, C!2, k12_isocat_2(A!0, B!1, C!2, D!3)), u1_cat_1(A!0), u2_cat_1(C!2))))))),
% 37.11/23.81      inference(rewrite,[status(thm)],[])).
% 37.11/23.81  tff(753,plain,
% 37.11/23.81      ((~![E: $i] : ((~m1_nattra_1(E, A!0, C!2, k12_isocat_2(A!0, B!1, C!2, D!3), k12_isocat_2(A!0, B!1, C!2, D!3))) | (~((~v1_funct_1(E)) | (~v1_funct_2(E, u1_cat_1(A!0), u2_cat_1(C!2))) | (~m2_relset_1(E, u1_cat_1(A!0), u2_cat_1(C!2))))))) | ((~m1_nattra_1(k4_nattra_1(A!0, C!2, k12_isocat_2(A!0, B!1, C!2, D!3)), A!0, C!2, k12_isocat_2(A!0, B!1, C!2, D!3), k12_isocat_2(A!0, B!1, C!2, D!3))) | (~((~v1_funct_1(k4_nattra_1(A!0, C!2, k12_isocat_2(A!0, B!1, C!2, D!3)))) | (~v1_funct_2(k4_nattra_1(A!0, C!2, k12_isocat_2(A!0, B!1, C!2, D!3)), u1_cat_1(A!0), u2_cat_1(C!2))) | (~m2_relset_1(k4_nattra_1(A!0, C!2, k12_isocat_2(A!0, B!1, C!2, D!3)), u1_cat_1(A!0), u2_cat_1(C!2))))))),
% 37.11/23.81      inference(quant_inst,[status(thm)],[])).
% 37.11/23.81  tff(754,plain,
% 37.11/23.81      ((~![E: $i] : ((~m1_nattra_1(E, A!0, C!2, k12_isocat_2(A!0, B!1, C!2, D!3), k12_isocat_2(A!0, B!1, C!2, D!3))) | (~((~v1_funct_1(E)) | (~v1_funct_2(E, u1_cat_1(A!0), u2_cat_1(C!2))) | (~m2_relset_1(E, u1_cat_1(A!0), u2_cat_1(C!2))))))) | (~m1_nattra_1(k4_nattra_1(A!0, C!2, k12_isocat_2(A!0, B!1, C!2, D!3)), A!0, C!2, k12_isocat_2(A!0, B!1, C!2, D!3), k12_isocat_2(A!0, B!1, C!2, D!3))) | (~((~v1_funct_1(k4_nattra_1(A!0, C!2, k12_isocat_2(A!0, B!1, C!2, D!3)))) | (~v1_funct_2(k4_nattra_1(A!0, C!2, k12_isocat_2(A!0, B!1, C!2, D!3)), u1_cat_1(A!0), u2_cat_1(C!2))) | (~m2_relset_1(k4_nattra_1(A!0, C!2, k12_isocat_2(A!0, B!1, C!2, D!3)), u1_cat_1(A!0), u2_cat_1(C!2)))))),
% 37.11/23.81      inference(modus_ponens,[status(thm)],[753, 752])).
% 37.11/23.81  tff(755,plain,
% 37.11/23.81      (~((~v1_funct_1(k4_nattra_1(A!0, C!2, k12_isocat_2(A!0, B!1, C!2, D!3)))) | (~v1_funct_2(k4_nattra_1(A!0, C!2, k12_isocat_2(A!0, B!1, C!2, D!3)), u1_cat_1(A!0), u2_cat_1(C!2))) | (~m2_relset_1(k4_nattra_1(A!0, C!2, k12_isocat_2(A!0, B!1, C!2, D!3)), u1_cat_1(A!0), u2_cat_1(C!2))))),
% 37.11/23.81      inference(unit_resolution,[status(thm)],[754, 751, 643])).
% 37.11/23.81  tff(756,plain,
% 37.11/23.81      (((~v1_funct_1(k4_nattra_1(A!0, C!2, k12_isocat_2(A!0, B!1, C!2, D!3)))) | (~v1_funct_2(k4_nattra_1(A!0, C!2, k12_isocat_2(A!0, B!1, C!2, D!3)), u1_cat_1(A!0), u2_cat_1(C!2))) | (~m2_relset_1(k4_nattra_1(A!0, C!2, k12_isocat_2(A!0, B!1, C!2, D!3)), u1_cat_1(A!0), u2_cat_1(C!2)))) | m2_relset_1(k4_nattra_1(A!0, C!2, k12_isocat_2(A!0, B!1, C!2, D!3)), u1_cat_1(A!0), u2_cat_1(C!2))),
% 37.11/23.81      inference(tautology,[status(thm)],[])).
% 37.11/23.81  tff(757,plain,
% 37.11/23.81      (m2_relset_1(k4_nattra_1(A!0, C!2, k12_isocat_2(A!0, B!1, C!2, D!3)), u1_cat_1(A!0), u2_cat_1(C!2))),
% 37.11/23.81      inference(unit_resolution,[status(thm)],[756, 755])).
% 37.11/23.81  tff(758,plain,
% 37.11/23.81      ((~(m2_relset_1(k4_nattra_1(A!0, C!2, k12_isocat_2(A!0, B!1, C!2, D!3)), u1_cat_1(A!0), u2_cat_1(C!2)) <=> m1_relset_1(k4_nattra_1(A!0, C!2, k12_isocat_2(A!0, B!1, C!2, D!3)), u1_cat_1(A!0), u2_cat_1(C!2)))) | (~m2_relset_1(k4_nattra_1(A!0, C!2, k12_isocat_2(A!0, B!1, C!2, D!3)), u1_cat_1(A!0), u2_cat_1(C!2))) | m1_relset_1(k4_nattra_1(A!0, C!2, k12_isocat_2(A!0, B!1, C!2, D!3)), u1_cat_1(A!0), u2_cat_1(C!2))),
% 37.11/23.81      inference(tautology,[status(thm)],[])).
% 37.11/23.81  tff(759,plain,
% 37.11/23.81      ((~(m2_relset_1(k4_nattra_1(A!0, C!2, k12_isocat_2(A!0, B!1, C!2, D!3)), u1_cat_1(A!0), u2_cat_1(C!2)) <=> m1_relset_1(k4_nattra_1(A!0, C!2, k12_isocat_2(A!0, B!1, C!2, D!3)), u1_cat_1(A!0), u2_cat_1(C!2)))) | m1_relset_1(k4_nattra_1(A!0, C!2, k12_isocat_2(A!0, B!1, C!2, D!3)), u1_cat_1(A!0), u2_cat_1(C!2))),
% 37.11/23.81      inference(unit_resolution,[status(thm)],[758, 757])).
% 37.11/23.81  tff(760,plain,
% 37.11/23.81      (m1_relset_1(k4_nattra_1(A!0, C!2, k12_isocat_2(A!0, B!1, C!2, D!3)), u1_cat_1(A!0), u2_cat_1(C!2))),
% 37.11/23.81      inference(unit_resolution,[status(thm)],[759, 744])).
% 37.11/23.81  tff(761,plain,
% 37.11/23.81      (((~v1_funct_1(k4_nattra_1(A!0, C!2, k12_isocat_2(A!0, B!1, C!2, D!3)))) | (~v1_funct_2(k4_nattra_1(A!0, C!2, k12_isocat_2(A!0, B!1, C!2, D!3)), u1_cat_1(A!0), u2_cat_1(C!2))) | (~m2_relset_1(k4_nattra_1(A!0, C!2, k12_isocat_2(A!0, B!1, C!2, D!3)), u1_cat_1(A!0), u2_cat_1(C!2)))) | v1_funct_2(k4_nattra_1(A!0, C!2, k12_isocat_2(A!0, B!1, C!2, D!3)), u1_cat_1(A!0), u2_cat_1(C!2))),
% 37.11/23.81      inference(tautology,[status(thm)],[])).
% 37.11/23.81  tff(762,plain,
% 37.11/23.81      (v1_funct_2(k4_nattra_1(A!0, C!2, k12_isocat_2(A!0, B!1, C!2, D!3)), u1_cat_1(A!0), u2_cat_1(C!2))),
% 37.11/23.82      inference(unit_resolution,[status(thm)],[761, 755])).
% 37.11/23.82  tff(763,plain,
% 37.11/23.82      (((~v1_funct_1(k4_nattra_1(A!0, C!2, k12_isocat_2(A!0, B!1, C!2, D!3)))) | (~v1_funct_2(k4_nattra_1(A!0, C!2, k12_isocat_2(A!0, B!1, C!2, D!3)), u1_cat_1(A!0), u2_cat_1(C!2))) | (~m2_relset_1(k4_nattra_1(A!0, C!2, k12_isocat_2(A!0, B!1, C!2, D!3)), u1_cat_1(A!0), u2_cat_1(C!2)))) | v1_funct_1(k4_nattra_1(A!0, C!2, k12_isocat_2(A!0, B!1, C!2, D!3)))),
% 37.11/23.82      inference(tautology,[status(thm)],[])).
% 37.11/23.82  tff(764,plain,
% 37.11/23.82      (v1_funct_1(k4_nattra_1(A!0, C!2, k12_isocat_2(A!0, B!1, C!2, D!3)))),
% 37.11/23.82      inference(unit_resolution,[status(thm)],[763, 755])).
% 37.11/23.82  tff(765,plain,
% 37.11/23.82      (((~![A: $i] : ((~l1_cat_1(A)) | (~v1_xboole_0(u2_cat_1(A))))) | ((~l1_cat_1(C!2)) | (~v1_xboole_0(u2_cat_1(C!2))))) <=> ((~![A: $i] : ((~l1_cat_1(A)) | (~v1_xboole_0(u2_cat_1(A))))) | (~l1_cat_1(C!2)) | (~v1_xboole_0(u2_cat_1(C!2))))),
% 37.11/23.82      inference(rewrite,[status(thm)],[])).
% 37.11/23.82  tff(766,plain,
% 37.11/23.82      ((~![A: $i] : ((~l1_cat_1(A)) | (~v1_xboole_0(u2_cat_1(A))))) | ((~l1_cat_1(C!2)) | (~v1_xboole_0(u2_cat_1(C!2))))),
% 37.11/23.82      inference(quant_inst,[status(thm)],[])).
% 37.11/23.82  tff(767,plain,
% 37.11/23.82      ((~![A: $i] : ((~l1_cat_1(A)) | (~v1_xboole_0(u2_cat_1(A))))) | (~l1_cat_1(C!2)) | (~v1_xboole_0(u2_cat_1(C!2)))),
% 37.11/23.82      inference(modus_ponens,[status(thm)],[766, 765])).
% 37.11/23.82  tff(768,plain,
% 37.11/23.82      (~v1_xboole_0(u2_cat_1(C!2))),
% 37.11/23.82      inference(unit_resolution,[status(thm)],[767, 37, 460])).
% 37.11/23.82  tff(769,plain,
% 37.11/23.82      (((~![A: $i, B: $i, C: $i, D: $i, E: $i, F: $i] : (r4_nattra_1(A, B, C, D, F, E) | v1_xboole_0(D) | v1_xboole_0(C) | v1_xboole_0(B) | v1_xboole_0(A) | (~r4_nattra_1(A, B, C, D, E, F)) | (~v1_funct_1(F)) | (~v1_funct_1(E)) | (~v1_funct_2(E, A, B)) | (~m1_relset_1(E, A, B)) | (~v1_funct_2(F, C, D)) | (~m1_relset_1(F, C, D)))) | (v1_xboole_0(u1_cat_1(A!0)) | v1_xboole_0(u2_cat_1(C!2)) | (~v1_funct_1(k4_nattra_1(A!0, C!2, k12_isocat_2(A!0, B!1, C!2, D!3)))) | (~v1_funct_2(k4_nattra_1(A!0, C!2, k12_isocat_2(A!0, B!1, C!2, D!3)), u1_cat_1(A!0), u2_cat_1(C!2))) | (~m1_relset_1(k4_nattra_1(A!0, C!2, k12_isocat_2(A!0, B!1, C!2, D!3)), u1_cat_1(A!0), u2_cat_1(C!2))) | (~v1_funct_1(k6_isocat_1(A!0, k11_cat_2(B!1, C!2), C!2, D!3, D!3, k7_nattra_1(A!0, k11_cat_2(B!1, C!2), D!3), k17_cat_2(B!1, C!2)))) | (~v1_funct_2(k6_isocat_1(A!0, k11_cat_2(B!1, C!2), C!2, D!3, D!3, k7_nattra_1(A!0, k11_cat_2(B!1, C!2), D!3), k17_cat_2(B!1, C!2)), u1_cat_1(A!0), u2_cat_1(C!2))) | (~m1_relset_1(k6_isocat_1(A!0, k11_cat_2(B!1, C!2), C!2, D!3, D!3, k7_nattra_1(A!0, k11_cat_2(B!1, C!2), D!3), k17_cat_2(B!1, C!2)), u1_cat_1(A!0), u2_cat_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), k6_isocat_1(A!0, k11_cat_2(B!1, C!2), C!2, D!3, D!3, k7_nattra_1(A!0, k11_cat_2(B!1, C!2), D!3), k17_cat_2(B!1, C!2)), k4_nattra_1(A!0, C!2, k12_isocat_2(A!0, B!1, C!2, D!3)))) | r4_nattra_1(u1_cat_1(A!0), u2_cat_1(C!2), u1_cat_1(A!0), u2_cat_1(C!2), k4_nattra_1(A!0, C!2, k12_isocat_2(A!0, B!1, C!2, D!3)), k6_isocat_1(A!0, k11_cat_2(B!1, C!2), C!2, D!3, D!3, k7_nattra_1(A!0, k11_cat_2(B!1, C!2), D!3), k17_cat_2(B!1, C!2))))) <=> ((~![A: $i, B: $i, C: $i, D: $i, E: $i, F: $i] : (r4_nattra_1(A, B, C, D, F, E) | v1_xboole_0(D) | v1_xboole_0(C) | v1_xboole_0(B) | v1_xboole_0(A) | (~r4_nattra_1(A, B, C, D, E, F)) | (~v1_funct_1(F)) | (~v1_funct_1(E)) | (~v1_funct_2(E, A, B)) | (~m1_relset_1(E, A, B)) | (~v1_funct_2(F, C, D)) | (~m1_relset_1(F, C, D)))) | v1_xboole_0(u1_cat_1(A!0)) | v1_xboole_0(u2_cat_1(C!2)) | (~v1_funct_1(k4_nattra_1(A!0, C!2, k12_isocat_2(A!0, B!1, C!2, D!3)))) | (~v1_funct_2(k4_nattra_1(A!0, C!2, k12_isocat_2(A!0, B!1, C!2, D!3)), u1_cat_1(A!0), u2_cat_1(C!2))) | (~m1_relset_1(k4_nattra_1(A!0, C!2, k12_isocat_2(A!0, B!1, C!2, D!3)), u1_cat_1(A!0), u2_cat_1(C!2))) | (~v1_funct_1(k6_isocat_1(A!0, k11_cat_2(B!1, C!2), C!2, D!3, D!3, k7_nattra_1(A!0, k11_cat_2(B!1, C!2), D!3), k17_cat_2(B!1, C!2)))) | (~v1_funct_2(k6_isocat_1(A!0, k11_cat_2(B!1, C!2), C!2, D!3, D!3, k7_nattra_1(A!0, k11_cat_2(B!1, C!2), D!3), k17_cat_2(B!1, C!2)), u1_cat_1(A!0), u2_cat_1(C!2))) | (~m1_relset_1(k6_isocat_1(A!0, k11_cat_2(B!1, C!2), C!2, D!3, D!3, k7_nattra_1(A!0, k11_cat_2(B!1, C!2), D!3), k17_cat_2(B!1, C!2)), u1_cat_1(A!0), u2_cat_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), k6_isocat_1(A!0, k11_cat_2(B!1, C!2), C!2, D!3, D!3, k7_nattra_1(A!0, k11_cat_2(B!1, C!2), D!3), k17_cat_2(B!1, C!2)), k4_nattra_1(A!0, C!2, k12_isocat_2(A!0, B!1, C!2, D!3)))) | r4_nattra_1(u1_cat_1(A!0), u2_cat_1(C!2), u1_cat_1(A!0), u2_cat_1(C!2), k4_nattra_1(A!0, C!2, k12_isocat_2(A!0, B!1, C!2, D!3)), k6_isocat_1(A!0, k11_cat_2(B!1, C!2), C!2, D!3, D!3, k7_nattra_1(A!0, k11_cat_2(B!1, C!2), D!3), k17_cat_2(B!1, C!2))))),
% 37.11/23.82      inference(rewrite,[status(thm)],[])).
% 37.11/23.82  tff(770,plain,
% 37.11/23.82      ((r4_nattra_1(u1_cat_1(A!0), u2_cat_1(C!2), u1_cat_1(A!0), u2_cat_1(C!2), k4_nattra_1(A!0, C!2, k12_isocat_2(A!0, B!1, C!2, D!3)), k6_isocat_1(A!0, k11_cat_2(B!1, C!2), C!2, D!3, D!3, k7_nattra_1(A!0, k11_cat_2(B!1, C!2), D!3), k17_cat_2(B!1, C!2))) | v1_xboole_0(u2_cat_1(C!2)) | v1_xboole_0(u1_cat_1(A!0)) | v1_xboole_0(u2_cat_1(C!2)) | v1_xboole_0(u1_cat_1(A!0)) | (~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, D!3, k7_nattra_1(A!0, k11_cat_2(B!1, C!2), D!3), k17_cat_2(B!1, C!2)), k4_nattra_1(A!0, C!2, k12_isocat_2(A!0, B!1, C!2, D!3)))) | (~v1_funct_1(k4_nattra_1(A!0, C!2, k12_isocat_2(A!0, B!1, C!2, D!3)))) | (~v1_funct_1(k6_isocat_1(A!0, k11_cat_2(B!1, C!2), C!2, D!3, D!3, k7_nattra_1(A!0, k11_cat_2(B!1, C!2), D!3), k17_cat_2(B!1, C!2)))) | (~v1_funct_2(k6_isocat_1(A!0, k11_cat_2(B!1, C!2), C!2, D!3, D!3, k7_nattra_1(A!0, k11_cat_2(B!1, C!2), D!3), k17_cat_2(B!1, C!2)), u1_cat_1(A!0), u2_cat_1(C!2))) | (~m1_relset_1(k6_isocat_1(A!0, k11_cat_2(B!1, C!2), C!2, D!3, D!3, k7_nattra_1(A!0, k11_cat_2(B!1, C!2), D!3), k17_cat_2(B!1, C!2)), u1_cat_1(A!0), u2_cat_1(C!2))) | (~v1_funct_2(k4_nattra_1(A!0, C!2, k12_isocat_2(A!0, B!1, C!2, D!3)), u1_cat_1(A!0), u2_cat_1(C!2))) | (~m1_relset_1(k4_nattra_1(A!0, C!2, k12_isocat_2(A!0, B!1, C!2, D!3)), u1_cat_1(A!0), u2_cat_1(C!2)))) <=> (v1_xboole_0(u1_cat_1(A!0)) | v1_xboole_0(u2_cat_1(C!2)) | (~v1_funct_1(k4_nattra_1(A!0, C!2, k12_isocat_2(A!0, B!1, C!2, D!3)))) | (~v1_funct_2(k4_nattra_1(A!0, C!2, k12_isocat_2(A!0, B!1, C!2, D!3)), u1_cat_1(A!0), u2_cat_1(C!2))) | (~m1_relset_1(k4_nattra_1(A!0, C!2, k12_isocat_2(A!0, B!1, C!2, D!3)), u1_cat_1(A!0), u2_cat_1(C!2))) | (~v1_funct_1(k6_isocat_1(A!0, k11_cat_2(B!1, C!2), C!2, D!3, D!3, k7_nattra_1(A!0, k11_cat_2(B!1, C!2), D!3), k17_cat_2(B!1, C!2)))) | (~v1_funct_2(k6_isocat_1(A!0, k11_cat_2(B!1, C!2), C!2, D!3, D!3, k7_nattra_1(A!0, k11_cat_2(B!1, C!2), D!3), k17_cat_2(B!1, C!2)), u1_cat_1(A!0), u2_cat_1(C!2))) | (~m1_relset_1(k6_isocat_1(A!0, k11_cat_2(B!1, C!2), C!2, D!3, D!3, k7_nattra_1(A!0, k11_cat_2(B!1, C!2), D!3), k17_cat_2(B!1, C!2)), u1_cat_1(A!0), u2_cat_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), k6_isocat_1(A!0, k11_cat_2(B!1, C!2), C!2, D!3, D!3, k7_nattra_1(A!0, k11_cat_2(B!1, C!2), D!3), k17_cat_2(B!1, C!2)), k4_nattra_1(A!0, C!2, k12_isocat_2(A!0, B!1, C!2, D!3)))) | r4_nattra_1(u1_cat_1(A!0), u2_cat_1(C!2), u1_cat_1(A!0), u2_cat_1(C!2), k4_nattra_1(A!0, C!2, k12_isocat_2(A!0, B!1, C!2, D!3)), k6_isocat_1(A!0, k11_cat_2(B!1, C!2), C!2, D!3, D!3, k7_nattra_1(A!0, k11_cat_2(B!1, C!2), D!3), k17_cat_2(B!1, C!2))))),
% 37.11/23.82      inference(rewrite,[status(thm)],[])).
% 37.11/23.82  tff(771,plain,
% 37.11/23.82      (((~![A: $i, B: $i, C: $i, D: $i, E: $i, F: $i] : (r4_nattra_1(A, B, C, D, F, E) | v1_xboole_0(D) | v1_xboole_0(C) | v1_xboole_0(B) | v1_xboole_0(A) | (~r4_nattra_1(A, B, C, D, E, F)) | (~v1_funct_1(F)) | (~v1_funct_1(E)) | (~v1_funct_2(E, A, B)) | (~m1_relset_1(E, A, B)) | (~v1_funct_2(F, C, D)) | (~m1_relset_1(F, C, D)))) | (r4_nattra_1(u1_cat_1(A!0), u2_cat_1(C!2), u1_cat_1(A!0), u2_cat_1(C!2), k4_nattra_1(A!0, C!2, k12_isocat_2(A!0, B!1, C!2, D!3)), k6_isocat_1(A!0, k11_cat_2(B!1, C!2), C!2, D!3, D!3, k7_nattra_1(A!0, k11_cat_2(B!1, C!2), D!3), k17_cat_2(B!1, C!2))) | v1_xboole_0(u2_cat_1(C!2)) | v1_xboole_0(u1_cat_1(A!0)) | v1_xboole_0(u2_cat_1(C!2)) | v1_xboole_0(u1_cat_1(A!0)) | (~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, D!3, k7_nattra_1(A!0, k11_cat_2(B!1, C!2), D!3), k17_cat_2(B!1, C!2)), k4_nattra_1(A!0, C!2, k12_isocat_2(A!0, B!1, C!2, D!3)))) | (~v1_funct_1(k4_nattra_1(A!0, C!2, k12_isocat_2(A!0, B!1, C!2, D!3)))) | (~v1_funct_1(k6_isocat_1(A!0, k11_cat_2(B!1, C!2), C!2, D!3, D!3, k7_nattra_1(A!0, k11_cat_2(B!1, C!2), D!3), k17_cat_2(B!1, C!2)))) | (~v1_funct_2(k6_isocat_1(A!0, k11_cat_2(B!1, C!2), C!2, D!3, D!3, k7_nattra_1(A!0, k11_cat_2(B!1, C!2), D!3), k17_cat_2(B!1, C!2)), u1_cat_1(A!0), u2_cat_1(C!2))) | (~m1_relset_1(k6_isocat_1(A!0, k11_cat_2(B!1, C!2), C!2, D!3, D!3, k7_nattra_1(A!0, k11_cat_2(B!1, C!2), D!3), k17_cat_2(B!1, C!2)), u1_cat_1(A!0), u2_cat_1(C!2))) | (~v1_funct_2(k4_nattra_1(A!0, C!2, k12_isocat_2(A!0, B!1, C!2, D!3)), u1_cat_1(A!0), u2_cat_1(C!2))) | (~m1_relset_1(k4_nattra_1(A!0, C!2, k12_isocat_2(A!0, B!1, C!2, D!3)), u1_cat_1(A!0), u2_cat_1(C!2))))) <=> ((~![A: $i, B: $i, C: $i, D: $i, E: $i, F: $i] : (r4_nattra_1(A, B, C, D, F, E) | v1_xboole_0(D) | v1_xboole_0(C) | v1_xboole_0(B) | v1_xboole_0(A) | (~r4_nattra_1(A, B, C, D, E, F)) | (~v1_funct_1(F)) | (~v1_funct_1(E)) | (~v1_funct_2(E, A, B)) | (~m1_relset_1(E, A, B)) | (~v1_funct_2(F, C, D)) | (~m1_relset_1(F, C, D)))) | (v1_xboole_0(u1_cat_1(A!0)) | v1_xboole_0(u2_cat_1(C!2)) | (~v1_funct_1(k4_nattra_1(A!0, C!2, k12_isocat_2(A!0, B!1, C!2, D!3)))) | (~v1_funct_2(k4_nattra_1(A!0, C!2, k12_isocat_2(A!0, B!1, C!2, D!3)), u1_cat_1(A!0), u2_cat_1(C!2))) | (~m1_relset_1(k4_nattra_1(A!0, C!2, k12_isocat_2(A!0, B!1, C!2, D!3)), u1_cat_1(A!0), u2_cat_1(C!2))) | (~v1_funct_1(k6_isocat_1(A!0, k11_cat_2(B!1, C!2), C!2, D!3, D!3, k7_nattra_1(A!0, k11_cat_2(B!1, C!2), D!3), k17_cat_2(B!1, C!2)))) | (~v1_funct_2(k6_isocat_1(A!0, k11_cat_2(B!1, C!2), C!2, D!3, D!3, k7_nattra_1(A!0, k11_cat_2(B!1, C!2), D!3), k17_cat_2(B!1, C!2)), u1_cat_1(A!0), u2_cat_1(C!2))) | (~m1_relset_1(k6_isocat_1(A!0, k11_cat_2(B!1, C!2), C!2, D!3, D!3, k7_nattra_1(A!0, k11_cat_2(B!1, C!2), D!3), k17_cat_2(B!1, C!2)), u1_cat_1(A!0), u2_cat_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), k6_isocat_1(A!0, k11_cat_2(B!1, C!2), C!2, D!3, D!3, k7_nattra_1(A!0, k11_cat_2(B!1, C!2), D!3), k17_cat_2(B!1, C!2)), k4_nattra_1(A!0, C!2, k12_isocat_2(A!0, B!1, C!2, D!3)))) | r4_nattra_1(u1_cat_1(A!0), u2_cat_1(C!2), u1_cat_1(A!0), u2_cat_1(C!2), k4_nattra_1(A!0, C!2, k12_isocat_2(A!0, B!1, C!2, D!3)), k6_isocat_1(A!0, k11_cat_2(B!1, C!2), C!2, D!3, D!3, k7_nattra_1(A!0, k11_cat_2(B!1, C!2), D!3), k17_cat_2(B!1, C!2)))))),
% 37.14/23.83      inference(monotonicity,[status(thm)],[770])).
% 37.14/23.83  tff(772,plain,
% 37.14/23.83      (((~![A: $i, B: $i, C: $i, D: $i, E: $i, F: $i] : (r4_nattra_1(A, B, C, D, F, E) | v1_xboole_0(D) | v1_xboole_0(C) | v1_xboole_0(B) | v1_xboole_0(A) | (~r4_nattra_1(A, B, C, D, E, F)) | (~v1_funct_1(F)) | (~v1_funct_1(E)) | (~v1_funct_2(E, A, B)) | (~m1_relset_1(E, A, B)) | (~v1_funct_2(F, C, D)) | (~m1_relset_1(F, C, D)))) | (r4_nattra_1(u1_cat_1(A!0), u2_cat_1(C!2), u1_cat_1(A!0), u2_cat_1(C!2), k4_nattra_1(A!0, C!2, k12_isocat_2(A!0, B!1, C!2, D!3)), k6_isocat_1(A!0, k11_cat_2(B!1, C!2), C!2, D!3, D!3, k7_nattra_1(A!0, k11_cat_2(B!1, C!2), D!3), k17_cat_2(B!1, C!2))) | v1_xboole_0(u2_cat_1(C!2)) | v1_xboole_0(u1_cat_1(A!0)) | v1_xboole_0(u2_cat_1(C!2)) | v1_xboole_0(u1_cat_1(A!0)) | (~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, D!3, k7_nattra_1(A!0, k11_cat_2(B!1, C!2), D!3), k17_cat_2(B!1, C!2)), k4_nattra_1(A!0, C!2, k12_isocat_2(A!0, B!1, C!2, D!3)))) | (~v1_funct_1(k4_nattra_1(A!0, C!2, k12_isocat_2(A!0, B!1, C!2, D!3)))) | (~v1_funct_1(k6_isocat_1(A!0, k11_cat_2(B!1, C!2), C!2, D!3, D!3, k7_nattra_1(A!0, k11_cat_2(B!1, C!2), D!3), k17_cat_2(B!1, C!2)))) | (~v1_funct_2(k6_isocat_1(A!0, k11_cat_2(B!1, C!2), C!2, D!3, D!3, k7_nattra_1(A!0, k11_cat_2(B!1, C!2), D!3), k17_cat_2(B!1, C!2)), u1_cat_1(A!0), u2_cat_1(C!2))) | (~m1_relset_1(k6_isocat_1(A!0, k11_cat_2(B!1, C!2), C!2, D!3, D!3, k7_nattra_1(A!0, k11_cat_2(B!1, C!2), D!3), k17_cat_2(B!1, C!2)), u1_cat_1(A!0), u2_cat_1(C!2))) | (~v1_funct_2(k4_nattra_1(A!0, C!2, k12_isocat_2(A!0, B!1, C!2, D!3)), u1_cat_1(A!0), u2_cat_1(C!2))) | (~m1_relset_1(k4_nattra_1(A!0, C!2, k12_isocat_2(A!0, B!1, C!2, D!3)), u1_cat_1(A!0), u2_cat_1(C!2))))) <=> ((~![A: $i, B: $i, C: $i, D: $i, E: $i, F: $i] : (r4_nattra_1(A, B, C, D, F, E) | v1_xboole_0(D) | v1_xboole_0(C) | v1_xboole_0(B) | v1_xboole_0(A) | (~r4_nattra_1(A, B, C, D, E, F)) | (~v1_funct_1(F)) | (~v1_funct_1(E)) | (~v1_funct_2(E, A, B)) | (~m1_relset_1(E, A, B)) | (~v1_funct_2(F, C, D)) | (~m1_relset_1(F, C, D)))) | v1_xboole_0(u1_cat_1(A!0)) | v1_xboole_0(u2_cat_1(C!2)) | (~v1_funct_1(k4_nattra_1(A!0, C!2, k12_isocat_2(A!0, B!1, C!2, D!3)))) | (~v1_funct_2(k4_nattra_1(A!0, C!2, k12_isocat_2(A!0, B!1, C!2, D!3)), u1_cat_1(A!0), u2_cat_1(C!2))) | (~m1_relset_1(k4_nattra_1(A!0, C!2, k12_isocat_2(A!0, B!1, C!2, D!3)), u1_cat_1(A!0), u2_cat_1(C!2))) | (~v1_funct_1(k6_isocat_1(A!0, k11_cat_2(B!1, C!2), C!2, D!3, D!3, k7_nattra_1(A!0, k11_cat_2(B!1, C!2), D!3), k17_cat_2(B!1, C!2)))) | (~v1_funct_2(k6_isocat_1(A!0, k11_cat_2(B!1, C!2), C!2, D!3, D!3, k7_nattra_1(A!0, k11_cat_2(B!1, C!2), D!3), k17_cat_2(B!1, C!2)), u1_cat_1(A!0), u2_cat_1(C!2))) | (~m1_relset_1(k6_isocat_1(A!0, k11_cat_2(B!1, C!2), C!2, D!3, D!3, k7_nattra_1(A!0, k11_cat_2(B!1, C!2), D!3), k17_cat_2(B!1, C!2)), u1_cat_1(A!0), u2_cat_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), k6_isocat_1(A!0, k11_cat_2(B!1, C!2), C!2, D!3, D!3, k7_nattra_1(A!0, k11_cat_2(B!1, C!2), D!3), k17_cat_2(B!1, C!2)), k4_nattra_1(A!0, C!2, k12_isocat_2(A!0, B!1, C!2, D!3)))) | r4_nattra_1(u1_cat_1(A!0), u2_cat_1(C!2), u1_cat_1(A!0), u2_cat_1(C!2), k4_nattra_1(A!0, C!2, k12_isocat_2(A!0, B!1, C!2, D!3)), k6_isocat_1(A!0, k11_cat_2(B!1, C!2), C!2, D!3, D!3, k7_nattra_1(A!0, k11_cat_2(B!1, C!2), D!3), k17_cat_2(B!1, C!2))))),
% 37.14/23.83      inference(transitivity,[status(thm)],[771, 769])).
% 37.14/23.83  tff(773,plain,
% 37.14/23.83      ((~![A: $i, B: $i, C: $i, D: $i, E: $i, F: $i] : (r4_nattra_1(A, B, C, D, F, E) | v1_xboole_0(D) | v1_xboole_0(C) | v1_xboole_0(B) | v1_xboole_0(A) | (~r4_nattra_1(A, B, C, D, E, F)) | (~v1_funct_1(F)) | (~v1_funct_1(E)) | (~v1_funct_2(E, A, B)) | (~m1_relset_1(E, A, B)) | (~v1_funct_2(F, C, D)) | (~m1_relset_1(F, C, D)))) | (r4_nattra_1(u1_cat_1(A!0), u2_cat_1(C!2), u1_cat_1(A!0), u2_cat_1(C!2), k4_nattra_1(A!0, C!2, k12_isocat_2(A!0, B!1, C!2, D!3)), k6_isocat_1(A!0, k11_cat_2(B!1, C!2), C!2, D!3, D!3, k7_nattra_1(A!0, k11_cat_2(B!1, C!2), D!3), k17_cat_2(B!1, C!2))) | v1_xboole_0(u2_cat_1(C!2)) | v1_xboole_0(u1_cat_1(A!0)) | v1_xboole_0(u2_cat_1(C!2)) | v1_xboole_0(u1_cat_1(A!0)) | (~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, D!3, k7_nattra_1(A!0, k11_cat_2(B!1, C!2), D!3), k17_cat_2(B!1, C!2)), k4_nattra_1(A!0, C!2, k12_isocat_2(A!0, B!1, C!2, D!3)))) | (~v1_funct_1(k4_nattra_1(A!0, C!2, k12_isocat_2(A!0, B!1, C!2, D!3)))) | (~v1_funct_1(k6_isocat_1(A!0, k11_cat_2(B!1, C!2), C!2, D!3, D!3, k7_nattra_1(A!0, k11_cat_2(B!1, C!2), D!3), k17_cat_2(B!1, C!2)))) | (~v1_funct_2(k6_isocat_1(A!0, k11_cat_2(B!1, C!2), C!2, D!3, D!3, k7_nattra_1(A!0, k11_cat_2(B!1, C!2), D!3), k17_cat_2(B!1, C!2)), u1_cat_1(A!0), u2_cat_1(C!2))) | (~m1_relset_1(k6_isocat_1(A!0, k11_cat_2(B!1, C!2), C!2, D!3, D!3, k7_nattra_1(A!0, k11_cat_2(B!1, C!2), D!3), k17_cat_2(B!1, C!2)), u1_cat_1(A!0), u2_cat_1(C!2))) | (~v1_funct_2(k4_nattra_1(A!0, C!2, k12_isocat_2(A!0, B!1, C!2, D!3)), u1_cat_1(A!0), u2_cat_1(C!2))) | (~m1_relset_1(k4_nattra_1(A!0, C!2, k12_isocat_2(A!0, B!1, C!2, D!3)), u1_cat_1(A!0), u2_cat_1(C!2))))),
% 37.14/23.83      inference(quant_inst,[status(thm)],[])).
% 37.14/23.83  tff(774,plain,
% 37.14/23.83      ((~![A: $i, B: $i, C: $i, D: $i, E: $i, F: $i] : (r4_nattra_1(A, B, C, D, F, E) | v1_xboole_0(D) | v1_xboole_0(C) | v1_xboole_0(B) | v1_xboole_0(A) | (~r4_nattra_1(A, B, C, D, E, F)) | (~v1_funct_1(F)) | (~v1_funct_1(E)) | (~v1_funct_2(E, A, B)) | (~m1_relset_1(E, A, B)) | (~v1_funct_2(F, C, D)) | (~m1_relset_1(F, C, D)))) | v1_xboole_0(u1_cat_1(A!0)) | v1_xboole_0(u2_cat_1(C!2)) | (~v1_funct_1(k4_nattra_1(A!0, C!2, k12_isocat_2(A!0, B!1, C!2, D!3)))) | (~v1_funct_2(k4_nattra_1(A!0, C!2, k12_isocat_2(A!0, B!1, C!2, D!3)), u1_cat_1(A!0), u2_cat_1(C!2))) | (~m1_relset_1(k4_nattra_1(A!0, C!2, k12_isocat_2(A!0, B!1, C!2, D!3)), u1_cat_1(A!0), u2_cat_1(C!2))) | (~v1_funct_1(k6_isocat_1(A!0, k11_cat_2(B!1, C!2), C!2, D!3, D!3, k7_nattra_1(A!0, k11_cat_2(B!1, C!2), D!3), k17_cat_2(B!1, C!2)))) | (~v1_funct_2(k6_isocat_1(A!0, k11_cat_2(B!1, C!2), C!2, D!3, D!3, k7_nattra_1(A!0, k11_cat_2(B!1, C!2), D!3), k17_cat_2(B!1, C!2)), u1_cat_1(A!0), u2_cat_1(C!2))) | (~m1_relset_1(k6_isocat_1(A!0, k11_cat_2(B!1, C!2), C!2, D!3, D!3, k7_nattra_1(A!0, k11_cat_2(B!1, C!2), D!3), k17_cat_2(B!1, C!2)), u1_cat_1(A!0), u2_cat_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), k6_isocat_1(A!0, k11_cat_2(B!1, C!2), C!2, D!3, D!3, k7_nattra_1(A!0, k11_cat_2(B!1, C!2), D!3), k17_cat_2(B!1, C!2)), k4_nattra_1(A!0, C!2, k12_isocat_2(A!0, B!1, C!2, D!3)))) | r4_nattra_1(u1_cat_1(A!0), u2_cat_1(C!2), u1_cat_1(A!0), u2_cat_1(C!2), k4_nattra_1(A!0, C!2, k12_isocat_2(A!0, B!1, C!2, D!3)), k6_isocat_1(A!0, k11_cat_2(B!1, C!2), C!2, D!3, D!3, k7_nattra_1(A!0, k11_cat_2(B!1, C!2), D!3), k17_cat_2(B!1, C!2)))),
% 37.14/23.84      inference(modus_ponens,[status(thm)],[773, 772])).
% 37.14/23.84  tff(775,plain,
% 37.14/23.84      ((~v1_funct_1(k6_isocat_1(A!0, k11_cat_2(B!1, C!2), C!2, D!3, D!3, k7_nattra_1(A!0, k11_cat_2(B!1, C!2), D!3), k17_cat_2(B!1, C!2)))) | (~v1_funct_2(k6_isocat_1(A!0, k11_cat_2(B!1, C!2), C!2, D!3, D!3, k7_nattra_1(A!0, k11_cat_2(B!1, C!2), D!3), k17_cat_2(B!1, C!2)), u1_cat_1(A!0), u2_cat_1(C!2))) | (~m1_relset_1(k6_isocat_1(A!0, k11_cat_2(B!1, C!2), C!2, D!3, D!3, k7_nattra_1(A!0, k11_cat_2(B!1, C!2), D!3), k17_cat_2(B!1, C!2)), u1_cat_1(A!0), u2_cat_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), k6_isocat_1(A!0, k11_cat_2(B!1, C!2), C!2, D!3, D!3, k7_nattra_1(A!0, k11_cat_2(B!1, C!2), D!3), k17_cat_2(B!1, C!2)), k4_nattra_1(A!0, C!2, k12_isocat_2(A!0, B!1, C!2, D!3)))) | r4_nattra_1(u1_cat_1(A!0), u2_cat_1(C!2), u1_cat_1(A!0), u2_cat_1(C!2), k4_nattra_1(A!0, C!2, k12_isocat_2(A!0, B!1, C!2, D!3)), k6_isocat_1(A!0, k11_cat_2(B!1, C!2), C!2, D!3, D!3, k7_nattra_1(A!0, k11_cat_2(B!1, C!2), D!3), k17_cat_2(B!1, C!2)))),
% 37.14/23.84      inference(unit_resolution,[status(thm)],[774, 491, 478, 768, 764, 762, 760])).
% 37.14/23.84  tff(776,plain,
% 37.14/23.84      (r4_nattra_1(u1_cat_1(A!0), u2_cat_1(C!2), u1_cat_1(A!0), u2_cat_1(C!2), k4_nattra_1(A!0, C!2, k12_isocat_2(A!0, B!1, C!2, D!3)), k6_isocat_1(A!0, k11_cat_2(B!1, C!2), C!2, D!3, D!3, k7_nattra_1(A!0, k11_cat_2(B!1, C!2), D!3), k17_cat_2(B!1, C!2)))),
% 37.14/23.84      inference(unit_resolution,[status(thm)],[775, 742, 731, 726, 650])).
% 37.14/23.84  tff(777,plain,
% 37.14/23.84      (r4_nattra_1(u1_cat_1(A!0), u2_cat_1(C!2), u1_cat_1(A!0), u2_cat_1(C!2), k7_nattra_1(A!0, C!2, k12_isocat_2(A!0, B!1, C!2, D!3)), k14_isocat_2(A!0, B!1, C!2, D!3, D!3, k7_nattra_1(A!0, k11_cat_2(B!1, C!2), D!3)))),
% 37.14/23.84      inference(modus_ponens,[status(thm)],[776, 597])).
% 37.14/23.84  tff(778,plain,
% 37.14/23.84      ((~(~((~r4_nattra_1(u1_cat_1(A!0), u2_cat_1(B!1), u1_cat_1(A!0), u2_cat_1(B!1), k7_nattra_1(A!0, B!1, k11_isocat_2(A!0, B!1, C!2, D!3)), k13_isocat_2(A!0, B!1, C!2, D!3, D!3, k7_nattra_1(A!0, k11_cat_2(B!1, C!2), D!3)))) | (~r4_nattra_1(u1_cat_1(A!0), u2_cat_1(C!2), u1_cat_1(A!0), u2_cat_1(C!2), k7_nattra_1(A!0, C!2, k12_isocat_2(A!0, B!1, C!2, D!3)), k14_isocat_2(A!0, B!1, C!2, D!3, D!3, k7_nattra_1(A!0, k11_cat_2(B!1, C!2), D!3))))))) <=> ((~r4_nattra_1(u1_cat_1(A!0), u2_cat_1(B!1), u1_cat_1(A!0), u2_cat_1(B!1), k7_nattra_1(A!0, B!1, k11_isocat_2(A!0, B!1, C!2, D!3)), k13_isocat_2(A!0, B!1, C!2, D!3, D!3, k7_nattra_1(A!0, k11_cat_2(B!1, C!2), D!3)))) | (~r4_nattra_1(u1_cat_1(A!0), u2_cat_1(C!2), u1_cat_1(A!0), u2_cat_1(C!2), k7_nattra_1(A!0, C!2, k12_isocat_2(A!0, B!1, C!2, D!3)), k14_isocat_2(A!0, B!1, C!2, D!3, D!3, k7_nattra_1(A!0, k11_cat_2(B!1, C!2), D!3)))))),
% 37.14/23.84      inference(rewrite,[status(thm)],[])).
% 37.14/23.84  tff(779,plain,
% 37.24/23.98      ((r4_nattra_1(u1_cat_1(A!0), u2_cat_1(B!1), u1_cat_1(A!0), u2_cat_1(B!1), k7_nattra_1(A!0, B!1, k11_isocat_2(A!0, B!1, C!2, D!3)), k13_isocat_2(A!0, B!1, C!2, D!3, D!3, k7_nattra_1(A!0, k11_cat_2(B!1, C!2), D!3))) & r4_nattra_1(u1_cat_1(A!0), u2_cat_1(C!2), u1_cat_1(A!0), u2_cat_1(C!2), k7_nattra_1(A!0, C!2, k12_isocat_2(A!0, B!1, C!2, D!3)), k14_isocat_2(A!0, B!1, C!2, D!3, D!3, k7_nattra_1(A!0, k11_cat_2(B!1, C!2), D!3)))) <=> (~((~r4_nattra_1(u1_cat_1(A!0), u2_cat_1(B!1), u1_cat_1(A!0), u2_cat_1(B!1), k7_nattra_1(A!0, B!1, k11_isocat_2(A!0, B!1, C!2, D!3)), k13_isocat_2(A!0, B!1, C!2, D!3, D!3, k7_nattra_1(A!0, k11_cat_2(B!1, C!2), D!3)))) | (~r4_nattra_1(u1_cat_1(A!0), u2_cat_1(C!2), u1_cat_1(A!0), u2_cat_1(C!2), k7_nattra_1(A!0, C!2, k12_isocat_2(A!0, B!1, C!2, D!3)), k14_isocat_2(A!0, B!1, C!2, D!3, D!3, k7_nattra_1(A!0, k11_cat_2(B!1, C!2), D!3))))))),
% 37.24/23.98      inference(rewrite,[status(thm)],[])).
% 37.24/23.98  tff(780,plain,
% 37.24/23.98      ((~(r4_nattra_1(u1_cat_1(A!0), u2_cat_1(B!1), u1_cat_1(A!0), u2_cat_1(B!1), k7_nattra_1(A!0, B!1, k11_isocat_2(A!0, B!1, C!2, D!3)), k13_isocat_2(A!0, B!1, C!2, D!3, D!3, k7_nattra_1(A!0, k11_cat_2(B!1, C!2), D!3))) & r4_nattra_1(u1_cat_1(A!0), u2_cat_1(C!2), u1_cat_1(A!0), u2_cat_1(C!2), k7_nattra_1(A!0, C!2, k12_isocat_2(A!0, B!1, C!2, D!3)), k14_isocat_2(A!0, B!1, C!2, D!3, D!3, k7_nattra_1(A!0, k11_cat_2(B!1, C!2), D!3))))) <=> (~(~((~r4_nattra_1(u1_cat_1(A!0), u2_cat_1(B!1), u1_cat_1(A!0), u2_cat_1(B!1), k7_nattra_1(A!0, B!1, k11_isocat_2(A!0, B!1, C!2, D!3)), k13_isocat_2(A!0, B!1, C!2, D!3, D!3, k7_nattra_1(A!0, k11_cat_2(B!1, C!2), D!3)))) | (~r4_nattra_1(u1_cat_1(A!0), u2_cat_1(C!2), u1_cat_1(A!0), u2_cat_1(C!2), k7_nattra_1(A!0, C!2, k12_isocat_2(A!0, B!1, C!2, D!3)), k14_isocat_2(A!0, B!1, C!2, D!3, D!3, k7_nattra_1(A!0, k11_cat_2(B!1, C!2), D!3)))))))),
% 37.24/23.98      inference(monotonicity,[status(thm)],[779])).
% 37.24/23.98  tff(781,plain,
% 37.24/23.98      ((~(r4_nattra_1(u1_cat_1(A!0), u2_cat_1(B!1), u1_cat_1(A!0), u2_cat_1(B!1), k7_nattra_1(A!0, B!1, k11_isocat_2(A!0, B!1, C!2, D!3)), k13_isocat_2(A!0, B!1, C!2, D!3, D!3, k7_nattra_1(A!0, k11_cat_2(B!1, C!2), D!3))) & r4_nattra_1(u1_cat_1(A!0), u2_cat_1(C!2), u1_cat_1(A!0), u2_cat_1(C!2), k7_nattra_1(A!0, C!2, k12_isocat_2(A!0, B!1, C!2, D!3)), k14_isocat_2(A!0, B!1, C!2, D!3, D!3, k7_nattra_1(A!0, k11_cat_2(B!1, C!2), D!3))))) <=> ((~r4_nattra_1(u1_cat_1(A!0), u2_cat_1(B!1), u1_cat_1(A!0), u2_cat_1(B!1), k7_nattra_1(A!0, B!1, k11_isocat_2(A!0, B!1, C!2, D!3)), k13_isocat_2(A!0, B!1, C!2, D!3, D!3, k7_nattra_1(A!0, k11_cat_2(B!1, C!2), D!3)))) | (~r4_nattra_1(u1_cat_1(A!0), u2_cat_1(C!2), u1_cat_1(A!0), u2_cat_1(C!2), k7_nattra_1(A!0, C!2, k12_isocat_2(A!0, B!1, C!2, D!3)), k14_isocat_2(A!0, B!1, C!2, D!3, D!3, k7_nattra_1(A!0, k11_cat_2(B!1, C!2), D!3)))))),
% 37.24/23.98      inference(transitivity,[status(thm)],[780, 778])).
% 37.24/23.98  tff(782,plain,
% 37.24/23.98      (~(r4_nattra_1(u1_cat_1(A!0), u2_cat_1(B!1), u1_cat_1(A!0), u2_cat_1(B!1), k7_nattra_1(A!0, B!1, k11_isocat_2(A!0, B!1, C!2, D!3)), k13_isocat_2(A!0, B!1, C!2, D!3, D!3, k7_nattra_1(A!0, k11_cat_2(B!1, C!2), D!3))) & r4_nattra_1(u1_cat_1(A!0), u2_cat_1(C!2), u1_cat_1(A!0), u2_cat_1(C!2), k7_nattra_1(A!0, C!2, k12_isocat_2(A!0, B!1, C!2, D!3)), k14_isocat_2(A!0, B!1, C!2, D!3, D!3, k7_nattra_1(A!0, k11_cat_2(B!1, C!2), D!3))))),
% 37.24/23.98      inference(or_elim,[status(thm)],[68])).
% 37.24/23.98  tff(783,plain,
% 37.24/23.98      ((~r4_nattra_1(u1_cat_1(A!0), u2_cat_1(B!1), u1_cat_1(A!0), u2_cat_1(B!1), k7_nattra_1(A!0, B!1, k11_isocat_2(A!0, B!1, C!2, D!3)), k13_isocat_2(A!0, B!1, C!2, D!3, D!3, k7_nattra_1(A!0, k11_cat_2(B!1, C!2), D!3)))) | (~r4_nattra_1(u1_cat_1(A!0), u2_cat_1(C!2), u1_cat_1(A!0), u2_cat_1(C!2), k7_nattra_1(A!0, C!2, k12_isocat_2(A!0, B!1, C!2, D!3)), k14_isocat_2(A!0, B!1, C!2, D!3, D!3, k7_nattra_1(A!0, k11_cat_2(B!1, C!2), D!3))))),
% 37.24/23.98      inference(modus_ponens,[status(thm)],[782, 781])).
% 37.24/23.98  tff(784,plain,
% 37.24/23.98      ($false),
% 37.24/23.98      inference(unit_resolution,[status(thm)],[783, 777, 500])).
% 37.24/23.98  % SZS output end Proof
%------------------------------------------------------------------------------