Z3---4.15.1.THM-Prf.s

%------------------------------------------------------------------------------
% File     : Z3---4.15.1
% Problem  : CAT027+1 : TPTP v9.0.0. Released v3.4.0.
% Transfm  : none
% Format   : tptp
% Command  : run_E %s %d THM

% Computer : n003.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Sat Jun 21 05:00:27 AM UTC 2025

% Result   : Theorem 19.50s 19.68s
% Output   : Proof 19.72s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem    : CAT027+1 : TPTP v9.0.0. Released v3.4.0.
% 0.07/0.12  % Command    : run_E %s %d THM
% 0.12/0.34  % Computer : n003.cluster.edu
% 0.12/0.34  % Model    : x86_64 x86_64
% 0.12/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34  % Memory   : 8042.1875MB
% 0.12/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34  % CPULimit   : 300
% 0.12/0.34  % WCLimit    : 300
% 0.12/0.34  % DateTime   : Thu Jun 19 11:55:10 EDT 2025
% 0.12/0.34  % CPUTime    : 
% 19.50/19.68  % SZS status Theorem
% 19.50/19.68  % SZS output start Proof
% 19.50/19.68  tff(r4_nattra_1_type, type, (
% 19.50/19.68     r4_nattra_1: ( $i * $i * $i * $i * $i * $i ) > $o)).
% 19.50/19.68  tff(k13_isocat_2_type, type, (
% 19.50/19.68     k13_isocat_2: ( $i * $i * $i * $i * $i * $i ) > $i)).
% 19.50/19.68  tff(k7_nattra_1_type, type, (
% 19.50/19.68     k7_nattra_1: ( $i * $i * $i ) > $i)).
% 19.50/19.68  tff(tptp_fun_D_3_type, type, (
% 19.50/19.68     tptp_fun_D_3: $i)).
% 19.50/19.68  tff(k11_cat_2_type, type, (
% 19.50/19.68     k11_cat_2: ( $i * $i ) > $i)).
% 19.50/19.68  tff(tptp_fun_C_2_type, type, (
% 19.50/19.68     tptp_fun_C_2: $i)).
% 19.50/19.68  tff(tptp_fun_B_1_type, type, (
% 19.50/19.68     tptp_fun_B_1: $i)).
% 19.50/19.68  tff(tptp_fun_A_0_type, type, (
% 19.50/19.68     tptp_fun_A_0: $i)).
% 19.50/19.68  tff(k11_isocat_2_type, type, (
% 19.50/19.68     k11_isocat_2: ( $i * $i * $i * $i ) > $i)).
% 19.50/19.68  tff(u2_cat_1_type, type, (
% 19.50/19.68     u2_cat_1: $i > $i)).
% 19.50/19.68  tff(u1_cat_1_type, type, (
% 19.50/19.68     u1_cat_1: $i > $i)).
% 19.50/19.68  tff(k6_isocat_1_type, type, (
% 19.50/19.68     k6_isocat_1: ( $i * $i * $i * $i * $i * $i * $i ) > $i)).
% 19.50/19.68  tff(k16_cat_2_type, type, (
% 19.50/19.68     k16_cat_2: ( $i * $i ) > $i)).
% 19.50/19.68  tff(k4_nattra_1_type, type, (
% 19.50/19.68     k4_nattra_1: ( $i * $i * $i ) > $i)).
% 19.50/19.68  tff(v2_cat_1_type, type, (
% 19.50/19.68     v2_cat_1: $i > $o)).
% 19.50/19.68  tff(l1_cat_1_type, type, (
% 19.50/19.68     l1_cat_1: $i > $o)).
% 19.50/19.68  tff(k14_isocat_2_type, type, (
% 19.50/19.68     k14_isocat_2: ( $i * $i * $i * $i * $i * $i ) > $i)).
% 19.50/19.68  tff(k12_isocat_2_type, type, (
% 19.50/19.68     k12_isocat_2: ( $i * $i * $i * $i ) > $i)).
% 19.50/19.68  tff(m2_cat_1_type, type, (
% 19.50/19.68     m2_cat_1: ( $i * $i * $i ) > $o)).
% 19.50/19.68  tff(k8_isocat_2_type, type, (
% 19.50/19.68     k8_isocat_2: ( $i * $i ) > $i)).
% 19.50/19.68  tff(m2_nattra_1_type, type, (
% 19.50/19.68     m2_nattra_1: ( $i * $i * $i * $i * $i ) > $o)).
% 19.50/19.68  tff(v1_funct_1_type, type, (
% 19.50/19.68     v1_funct_1: $i > $o)).
% 19.50/19.68  tff(m2_relset_1_type, type, (
% 19.50/19.68     m2_relset_1: ( $i * $i * $i ) > $o)).
% 19.50/19.68  tff(v1_funct_2_type, type, (
% 19.50/19.68     v1_funct_2: ( $i * $i * $i ) > $o)).
% 19.50/19.68  tff(m1_nattra_1_type, type, (
% 19.50/19.68     m1_nattra_1: ( $i * $i * $i * $i * $i ) > $o)).
% 19.50/19.68  tff(k2_isocat_1_type, type, (
% 19.50/19.68     k2_isocat_1: ( $i * $i * $i * $i * $i ) > $i)).
% 19.50/19.68  tff(m1_relset_1_type, type, (
% 19.50/19.68     m1_relset_1: ( $i * $i * $i ) > $o)).
% 19.50/19.68  tff(v1_xboole_0_type, type, (
% 19.50/19.68     v1_xboole_0: $i > $o)).
% 19.50/19.68  tff(k17_cat_2_type, type, (
% 19.50/19.68     k17_cat_2: ( $i * $i ) > $i)).
% 19.50/19.68  tff(k9_isocat_2_type, type, (
% 19.50/19.68     k9_isocat_2: ( $i * $i ) > $i)).
% 19.50/19.68  tff(1,plain,
% 19.50/19.68      (^[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)))))))),
% 19.50/19.68      inference(bind,[status(th)],[])).
% 19.50/19.68  tff(2,plain,
% 19.50/19.68      (![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))))))),
% 19.50/19.68      inference(quant_intro,[status(thm)],[1])).
% 19.50/19.68  tff(3,plain,
% 19.50/19.68      (^[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))))))))),
% 19.50/19.68      inference(bind,[status(th)],[])).
% 19.50/19.68  tff(4,plain,
% 19.50/19.68      (![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))))))),
% 19.50/19.68      inference(quant_intro,[status(thm)],[3])).
% 19.50/19.68  tff(5,plain,
% 19.50/19.68      (![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))))),
% 19.50/19.68      inference(rewrite,[status(thm)],[])).
% 19.50/19.68  tff(6,plain,
% 19.50/19.68      (^[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))))))),
% 19.50/19.68      inference(bind,[status(th)],[])).
% 19.50/19.68  tff(7,plain,
% 19.50/19.68      (![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))))),
% 19.50/19.68      inference(quant_intro,[status(thm)],[6])).
% 19.50/19.68  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/sandbox2/benchmark/theBenchmark.p','dt_k11_cat_2')).
% 19.50/19.68  tff(9,plain,
% 19.50/19.68      (![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))))),
% 19.50/19.68      inference(modus_ponens,[status(thm)],[8, 7])).
% 19.50/19.68  tff(10,plain,
% 19.50/19.68      (![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))))),
% 19.50/19.68      inference(modus_ponens,[status(thm)],[9, 5])).
% 19.50/19.68  tff(11,plain,(
% 19.50/19.68      ![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))))),
% 19.50/19.68      inference(skolemize,[status(sab)],[10])).
% 19.50/19.68  tff(12,plain,
% 19.50/19.68      (![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))))))),
% 19.50/19.68      inference(modus_ponens,[status(thm)],[11, 4])).
% 19.50/19.68  tff(13,plain,
% 19.50/19.68      (![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))))))),
% 19.50/19.68      inference(modus_ponens,[status(thm)],[12, 2])).
% 19.50/19.68  tff(14,plain,
% 19.50/19.68      (((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)))))))),
% 19.50/19.68      inference(rewrite,[status(thm)],[])).
% 19.50/19.68  tff(15,plain,
% 19.50/19.68      (((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)))))))),
% 19.50/19.68      inference(rewrite,[status(thm)],[])).
% 19.50/19.68  tff(16,plain,
% 19.50/19.68      (((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)))))))),
% 19.50/19.68      inference(rewrite,[status(thm)],[])).
% 19.50/19.68  tff(17,plain,
% 19.50/19.68      (((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))))))))),
% 19.50/19.68      inference(monotonicity,[status(thm)],[16])).
% 19.50/19.68  tff(18,plain,
% 19.50/19.68      (((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)))))))),
% 19.50/19.68      inference(transitivity,[status(thm)],[17, 15])).
% 19.50/19.68  tff(19,plain,
% 19.50/19.68      (((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))))))))),
% 19.50/19.68      inference(monotonicity,[status(thm)],[18])).
% 19.50/19.68  tff(20,plain,
% 19.50/19.68      (((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)))))))),
% 19.50/19.68      inference(transitivity,[status(thm)],[19, 14])).
% 19.50/19.69  tff(21,plain,
% 19.50/19.69      ((~![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)))))))))),
% 19.50/19.69      inference(rewrite,[status(thm)],[])).
% 19.50/19.69  tff(22,plain,
% 19.50/19.69      ((~![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)))))))))),
% 19.50/19.69      inference(rewrite,[status(thm)],[])).
% 19.50/19.69  tff(23,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/sandbox2/benchmark/theBenchmark.p','t40_isocat_2')).
% 19.50/19.69  tff(24,plain,
% 19.50/19.69      (~![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))))))))),
% 19.50/19.69      inference(modus_ponens,[status(thm)],[23, 22])).
% 19.50/19.69  tff(25,plain,
% 19.50/19.69      (~![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))))))))),
% 19.50/19.69      inference(modus_ponens,[status(thm)],[24, 21])).
% 19.50/19.69  tff(26,plain,
% 19.50/19.69      (~![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))))))))),
% 19.50/19.69      inference(modus_ponens,[status(thm)],[25, 21])).
% 19.50/19.69  tff(27,plain,
% 19.50/19.69      (~![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))))))))),
% 19.50/19.69      inference(modus_ponens,[status(thm)],[26, 21])).
% 19.50/19.69  tff(28,plain,
% 19.50/19.69      (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))))))),
% 19.50/19.69      inference(modus_ponens,[status(thm)],[27, 20])).
% 19.50/19.69  tff(29,plain,
% 19.50/19.69      (l1_cat_1(C!2)),
% 19.50/19.69      inference(and_elim,[status(thm)],[28])).
% 19.50/19.69  tff(30,plain,
% 19.50/19.69      (v2_cat_1(C!2)),
% 19.50/19.69      inference(and_elim,[status(thm)],[28])).
% 19.50/19.69  tff(31,plain,
% 19.50/19.69      (l1_cat_1(B!1)),
% 19.50/19.69      inference(and_elim,[status(thm)],[28])).
% 19.50/19.69  tff(32,plain,
% 19.50/19.69      (v2_cat_1(B!1)),
% 19.50/19.69      inference(and_elim,[status(thm)],[28])).
% 19.50/19.69  tff(33,plain,
% 19.50/19.69      (((~![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))))))),
% 19.50/19.69      inference(rewrite,[status(thm)],[])).
% 19.50/19.69  tff(34,plain,
% 19.50/19.69      (((~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))))))),
% 19.50/19.69      inference(rewrite,[status(thm)],[])).
% 19.50/19.69  tff(35,plain,
% 19.50/19.69      ((~((~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)))))),
% 19.50/19.69      inference(rewrite,[status(thm)],[])).
% 19.50/19.69  tff(36,plain,
% 19.50/19.69      (((~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))))))),
% 19.50/19.69      inference(monotonicity,[status(thm)],[35])).
% 19.50/19.69  tff(37,plain,
% 19.50/19.69      (((~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))))))),
% 19.50/19.69      inference(transitivity,[status(thm)],[36, 34])).
% 19.50/19.69  tff(38,plain,
% 19.50/19.69      (((~![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)))))))),
% 19.50/19.69      inference(monotonicity,[status(thm)],[37])).
% 19.50/19.69  tff(39,plain,
% 19.50/19.69      (((~![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))))))),
% 19.50/19.69      inference(transitivity,[status(thm)],[38, 33])).
% 19.50/19.69  tff(40,plain,
% 19.50/19.69      ((~![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))))))),
% 19.50/19.69      inference(quant_inst,[status(thm)],[])).
% 19.50/19.69  tff(41,plain,
% 19.50/19.69      ((~![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)))))),
% 19.50/19.69      inference(modus_ponens,[status(thm)],[40, 39])).
% 19.50/19.69  tff(42,plain,
% 19.50/19.69      (~((~v2_cat_1(k11_cat_2(B!1, C!2))) | (~l1_cat_1(k11_cat_2(B!1, C!2))))),
% 19.50/19.69      inference(unit_resolution,[status(thm)],[41, 32, 31, 30, 29, 13])).
% 19.50/19.69  tff(43,plain,
% 19.50/19.69      (((~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))),
% 19.50/19.69      inference(tautology,[status(thm)],[])).
% 19.50/19.69  tff(44,plain,
% 19.50/19.69      (v2_cat_1(k11_cat_2(B!1, C!2))),
% 19.50/19.69      inference(unit_resolution,[status(thm)],[43, 42])).
% 19.50/19.69  tff(45,plain,
% 19.50/19.69      (((~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))),
% 19.50/19.69      inference(tautology,[status(thm)],[])).
% 19.50/19.69  tff(46,plain,
% 19.50/19.69      (l1_cat_1(k11_cat_2(B!1, C!2))),
% 19.50/19.69      inference(unit_resolution,[status(thm)],[45, 42])).
% 19.50/19.69  tff(47,plain,
% 19.50/19.69      (^[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))))),
% 19.50/19.69      inference(bind,[status(th)],[])).
% 19.50/19.69  tff(48,plain,
% 19.50/19.69      (![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)))),
% 19.50/19.69      inference(quant_intro,[status(thm)],[47])).
% 19.50/19.69  tff(49,plain,
% 19.50/19.69      (^[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)))))),
% 19.50/19.69      inference(bind,[status(th)],[])).
% 19.50/19.69  tff(50,plain,
% 19.50/19.69      (![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)))),
% 19.50/19.69      inference(quant_intro,[status(thm)],[49])).
% 19.50/19.69  tff(51,plain,
% 19.50/19.69      (![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)))),
% 19.50/19.69      inference(rewrite,[status(thm)],[])).
% 19.50/19.69  tff(52,plain,
% 19.50/19.69      (^[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)))))),
% 19.50/19.69      inference(bind,[status(th)],[])).
% 19.50/19.69  tff(53,plain,
% 19.50/19.69      (![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)))),
% 19.50/19.69      inference(quant_intro,[status(thm)],[52])).
% 19.50/19.69  tff(54,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/sandbox2/benchmark/theBenchmark.p','redefinition_k7_nattra_1')).
% 19.50/19.69  tff(55,plain,
% 19.50/19.69      (![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)))),
% 19.50/19.69      inference(modus_ponens,[status(thm)],[54, 53])).
% 19.50/19.69  tff(56,plain,
% 19.50/19.69      (![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)))),
% 19.50/19.69      inference(modus_ponens,[status(thm)],[55, 51])).
% 19.50/19.69  tff(57,plain,(
% 19.50/19.69      ![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)))),
% 19.50/19.69      inference(skolemize,[status(sab)],[56])).
% 19.50/19.69  tff(58,plain,
% 19.50/19.69      (![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)))),
% 19.50/19.69      inference(modus_ponens,[status(thm)],[57, 50])).
% 19.50/19.69  tff(59,plain,
% 19.50/19.69      (![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)))),
% 19.50/19.69      inference(modus_ponens,[status(thm)],[58, 48])).
% 19.50/19.69  tff(60,plain,
% 19.50/19.69      (~((~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)))))),
% 19.50/19.69      inference(and_elim,[status(thm)],[28])).
% 19.50/19.69  tff(61,plain,
% 19.50/19.69      (m2_cat_1(D!3, A!0, k11_cat_2(B!1, C!2))),
% 19.50/19.69      inference(or_elim,[status(thm)],[60])).
% 19.50/19.69  tff(62,plain,
% 19.50/19.69      (l1_cat_1(A!0)),
% 19.50/19.69      inference(and_elim,[status(thm)],[28])).
% 19.50/19.69  tff(63,plain,
% 19.50/19.69      (v2_cat_1(A!0)),
% 19.50/19.69      inference(and_elim,[status(thm)],[28])).
% 19.50/19.69  tff(64,plain,
% 19.50/19.69      (((~![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)))),
% 19.50/19.69      inference(rewrite,[status(thm)],[])).
% 19.50/19.69  tff(65,plain,
% 19.50/19.69      (((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)))),
% 19.50/19.69      inference(rewrite,[status(thm)],[])).
% 19.50/19.69  tff(66,plain,
% 19.50/19.69      (((~![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))))),
% 19.50/19.69      inference(monotonicity,[status(thm)],[65])).
% 19.50/19.69  tff(67,plain,
% 19.50/19.69      (((~![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)))),
% 19.50/19.69      inference(transitivity,[status(thm)],[66, 64])).
% 19.50/19.69  tff(68,plain,
% 19.50/19.69      ((~![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))))),
% 19.50/19.69      inference(quant_inst,[status(thm)],[])).
% 19.50/19.69  tff(69,plain,
% 19.50/19.69      ((~![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))),
% 19.50/19.69      inference(modus_ponens,[status(thm)],[68, 67])).
% 19.50/19.69  tff(70,plain,
% 19.50/19.69      ((~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))),
% 19.50/19.69      inference(unit_resolution,[status(thm)],[69, 63, 62, 61, 59])).
% 19.50/19.69  tff(71,plain,
% 19.50/19.69      (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)),
% 19.50/19.69      inference(unit_resolution,[status(thm)],[70, 46, 44])).
% 19.50/19.69  tff(72,plain,
% 19.50/19.69      (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)),
% 19.50/19.69      inference(symmetry,[status(thm)],[71])).
% 19.50/19.69  tff(73,plain,
% 19.50/19.69      (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))),
% 19.50/19.69      inference(monotonicity,[status(thm)],[72])).
% 19.50/19.69  tff(74,plain,
% 19.50/19.69      (^[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))))))))))),
% 19.53/19.69      inference(bind,[status(th)],[])).
% 19.53/19.69  tff(75,plain,
% 19.53/19.69      (![A: $i] : ((~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)))))))))),
% 19.53/19.69      inference(quant_intro,[status(thm)],[74])).
% 19.53/19.69  tff(76,plain,
% 19.53/19.69      (^[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))))))),
% 19.53/19.69      inference(bind,[status(th)],[])).
% 19.53/19.69  tff(77,plain,
% 19.53/19.69      (![A: $i] : ((~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)))))),
% 19.53/19.69      inference(quant_intro,[status(thm)],[76])).
% 19.53/19.69  tff(78,plain,
% 19.53/19.69      (^[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))))))),
% 19.53/19.69      inference(bind,[status(th)],[])).
% 19.53/19.69  tff(79,plain,
% 19.53/19.69      (![A: $i] : ((~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)))))),
% 19.53/19.69      inference(quant_intro,[status(thm)],[78])).
% 19.53/19.69  tff(80,plain,
% 19.53/19.69      (![A: $i] : ((~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)))))),
% 19.53/19.69      inference(transitivity,[status(thm)],[79, 77])).
% 19.53/19.69  tff(81,plain,
% 19.53/19.69      (^[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)))))))),
% 19.53/19.69      inference(bind,[status(th)],[])).
% 19.53/19.69  tff(82,plain,
% 19.53/19.69      (![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)))))),
% 19.53/19.70      inference(quant_intro,[status(thm)],[81])).
% 19.53/19.70  tff(83,plain,
% 19.53/19.70      (![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)))))))))),
% 19.53/19.70      inference(rewrite,[status(thm)],[])).
% 19.53/19.70  tff(84,plain,
% 19.53/19.70      (^[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)))))))))))),
% 19.53/19.70      inference(bind,[status(th)],[])).
% 19.53/19.70  tff(85,plain,
% 19.53/19.70      (![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)))))))))),
% 19.53/19.70      inference(quant_intro,[status(thm)],[84])).
% 19.53/19.70  tff(86,axiom,(![A: $i] : ((v2_cat_1(A) & l1_cat_1(A)) => ![B: $i] : ((v2_cat_1(B) & l1_cat_1(B)) => ![C: $i] : ((v2_cat_1(C) & l1_cat_1(C)) => ![D: $i] : (m2_cat_1(D, A, k11_cat_2(B, C)) => ![E: $i] : (m2_cat_1(E, A, k11_cat_2(B, C)) => ![F: $i] : (m2_nattra_1(F, A, k11_cat_2(B, C), D, E) => (k13_isocat_2(A, B, C, D, E, F) = k6_isocat_1(A, k11_cat_2(B, C), B, D, E, F, k8_isocat_2(B, C)))))))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','d9_isocat_2')).
% 19.53/19.70  tff(87,plain,
% 19.53/19.70      (![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)))))))))),
% 19.53/19.70      inference(modus_ponens,[status(thm)],[86, 85])).
% 19.53/19.70  tff(88,plain,
% 19.53/19.70      (![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)))))))))),
% 19.53/19.70      inference(modus_ponens,[status(thm)],[87, 83])).
% 19.53/19.70  tff(89,plain,(
% 19.53/19.70      ![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)))))))))),
% 19.53/19.70      inference(skolemize,[status(sab)],[88])).
% 19.53/19.70  tff(90,plain,
% 19.53/19.70      (![A: $i] : ((~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)))))),
% 19.53/19.70      inference(modus_ponens,[status(thm)],[89, 82])).
% 19.53/19.70  tff(91,plain,
% 19.53/19.70      (![A: $i] : ((~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)))))),
% 19.53/19.70      inference(modus_ponens,[status(thm)],[90, 80])).
% 19.53/19.70  tff(92,plain,
% 19.53/19.70      (![A: $i] : ((~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)))))))))),
% 19.53/19.70      inference(modus_ponens,[status(thm)],[91, 75])).
% 19.53/19.70  tff(93,plain,
% 19.53/19.70      (((~![A: $i] : ((~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)))))))))),
% 19.53/19.70      inference(rewrite,[status(thm)],[])).
% 19.53/19.70  tff(94,plain,
% 19.53/19.70      ((~![A: $i] : ((~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)))))))))),
% 19.53/19.70      inference(quant_inst,[status(thm)],[])).
% 19.53/19.70  tff(95,plain,
% 19.53/19.70      ((~![A: $i] : ((~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))))))))),
% 19.53/19.70      inference(modus_ponens,[status(thm)],[94, 93])).
% 19.53/19.70  tff(96,plain,
% 19.53/19.70      (![B: $i] : ((~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))))))))),
% 19.53/19.70      inference(unit_resolution,[status(thm)],[95, 63, 62, 92])).
% 19.53/19.70  tff(97,plain,
% 19.53/19.70      (((~![B: $i] : ((~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))))))))),
% 19.53/19.70      inference(rewrite,[status(thm)],[])).
% 19.53/19.70  tff(98,plain,
% 19.53/19.70      ((~![B: $i] : ((~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))))))))),
% 19.53/19.70      inference(quant_inst,[status(thm)],[])).
% 19.53/19.70  tff(99,plain,
% 19.53/19.70      ((~![B: $i] : ((~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)))))))),
% 19.53/19.70      inference(modus_ponens,[status(thm)],[98, 97])).
% 19.53/19.70  tff(100,plain,
% 19.53/19.70      (![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)))))))),
% 19.53/19.70      inference(unit_resolution,[status(thm)],[99, 32, 31, 96])).
% 19.53/19.70  tff(101,plain,
% 19.53/19.70      (((~![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)))))))),
% 19.53/19.70      inference(rewrite,[status(thm)],[])).
% 19.53/19.70  tff(102,plain,
% 19.53/19.70      ((~![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)))))))),
% 19.53/19.70      inference(quant_inst,[status(thm)],[])).
% 19.53/19.70  tff(103,plain,
% 19.53/19.70      ((~![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))))))),
% 19.53/19.70      inference(modus_ponens,[status(thm)],[102, 101])).
% 19.53/19.70  tff(104,plain,
% 19.53/19.70      (![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))))))),
% 19.53/19.70      inference(unit_resolution,[status(thm)],[103, 30, 29, 100])).
% 19.53/19.70  tff(105,plain,
% 19.53/19.70      (((~![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))))))),
% 19.53/19.70      inference(rewrite,[status(thm)],[])).
% 19.53/19.70  tff(106,plain,
% 19.53/19.70      ((~![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))))))),
% 19.53/19.70      inference(quant_inst,[status(thm)],[])).
% 19.53/19.70  tff(107,plain,
% 19.53/19.70      ((~![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)))))),
% 19.53/19.71      inference(modus_ponens,[status(thm)],[106, 105])).
% 19.53/19.71  tff(108,plain,
% 19.53/19.71      (![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)))))),
% 19.53/19.71      inference(unit_resolution,[status(thm)],[107, 61, 104])).
% 19.53/19.71  tff(109,plain,
% 19.53/19.71      (((~![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)))))),
% 19.53/19.71      inference(rewrite,[status(thm)],[])).
% 19.53/19.71  tff(110,plain,
% 19.53/19.71      ((~![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)))))),
% 19.53/19.71      inference(quant_inst,[status(thm)],[])).
% 19.53/19.71  tff(111,plain,
% 19.53/19.71      ((~![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))))),
% 19.53/19.71      inference(modus_ponens,[status(thm)],[110, 109])).
% 19.53/19.71  tff(112,plain,
% 19.53/19.71      (![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))))),
% 19.53/19.71      inference(unit_resolution,[status(thm)],[111, 61, 108])).
% 19.53/19.71  tff(113,plain,
% 19.53/19.71      (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)),
% 19.53/19.71      inference(monotonicity,[status(thm)],[72])).
% 19.53/19.71  tff(114,plain,
% 19.53/19.71      (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)),
% 19.53/19.71      inference(symmetry,[status(thm)],[113])).
% 19.53/19.71  tff(115,plain,
% 19.53/19.71      (^[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))))),
% 19.53/19.71      inference(bind,[status(th)],[])).
% 19.53/19.71  tff(116,plain,
% 19.53/19.71      (![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)))),
% 19.53/19.71      inference(quant_intro,[status(thm)],[115])).
% 19.53/19.71  tff(117,plain,
% 19.53/19.71      (^[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)))))),
% 19.53/19.71      inference(bind,[status(th)],[])).
% 19.53/19.71  tff(118,plain,
% 19.53/19.71      (![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)))),
% 19.53/19.71      inference(quant_intro,[status(thm)],[117])).
% 19.53/19.71  tff(119,plain,
% 19.53/19.71      (![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))),
% 19.53/19.71      inference(rewrite,[status(thm)],[])).
% 19.53/19.71  tff(120,plain,
% 19.53/19.71      (^[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))))),
% 19.53/19.71      inference(bind,[status(th)],[])).
% 19.53/19.71  tff(121,plain,
% 19.53/19.71      (![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))),
% 19.53/19.71      inference(quant_intro,[status(thm)],[120])).
% 19.53/19.71  tff(122,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/sandbox2/benchmark/theBenchmark.p','dt_k7_nattra_1')).
% 19.53/19.71  tff(123,plain,
% 19.53/19.71      (![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))),
% 19.53/19.71      inference(modus_ponens,[status(thm)],[122, 121])).
% 19.53/19.71  tff(124,plain,
% 19.53/19.71      (![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))),
% 19.53/19.71      inference(modus_ponens,[status(thm)],[123, 119])).
% 19.53/19.71  tff(125,plain,(
% 19.53/19.71      ![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))),
% 19.53/19.71      inference(skolemize,[status(sab)],[124])).
% 19.53/19.71  tff(126,plain,
% 19.53/19.71      (![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)))),
% 19.53/19.71      inference(modus_ponens,[status(thm)],[125, 118])).
% 19.53/19.71  tff(127,plain,
% 19.53/19.71      (![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)))),
% 19.53/19.71      inference(modus_ponens,[status(thm)],[126, 116])).
% 19.53/19.71  tff(128,plain,
% 19.53/19.71      (((~![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))))),
% 19.53/19.71      inference(rewrite,[status(thm)],[])).
% 19.53/19.71  tff(129,plain,
% 19.53/19.71      ((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))))),
% 19.53/19.71      inference(rewrite,[status(thm)],[])).
% 19.53/19.71  tff(130,plain,
% 19.53/19.71      (((~![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)))))),
% 19.53/19.71      inference(monotonicity,[status(thm)],[129])).
% 19.53/19.71  tff(131,plain,
% 19.53/19.71      (((~![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))))),
% 19.53/19.71      inference(transitivity,[status(thm)],[130, 128])).
% 19.53/19.71  tff(132,plain,
% 19.53/19.71      ((~![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))))),
% 19.53/19.71      inference(quant_inst,[status(thm)],[])).
% 19.53/19.71  tff(133,plain,
% 19.53/19.71      ((~![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)))),
% 19.53/19.71      inference(modus_ponens,[status(thm)],[132, 131])).
% 19.53/19.71  tff(134,plain,
% 19.53/19.71      (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)))),
% 19.53/19.71      inference(unit_resolution,[status(thm)],[133, 63, 62, 61, 127])).
% 19.53/19.71  tff(135,plain,
% 19.53/19.71      (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)),
% 19.53/19.71      inference(unit_resolution,[status(thm)],[134, 44, 46])).
% 19.53/19.71  tff(136,plain,
% 19.53/19.71      (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)),
% 19.53/19.71      inference(modus_ponens,[status(thm)],[135, 114])).
% 19.53/19.71  tff(137,plain,
% 19.53/19.71      (((~![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))))),
% 19.53/19.71      inference(rewrite,[status(thm)],[])).
% 19.53/19.71  tff(138,plain,
% 19.53/19.71      ((~![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))))),
% 19.53/19.71      inference(quant_inst,[status(thm)],[])).
% 19.53/19.71  tff(139,plain,
% 19.53/19.71      ((~![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)))),
% 19.53/19.71      inference(modus_ponens,[status(thm)],[138, 137])).
% 19.53/19.71  tff(140,plain,
% 19.53/19.71      (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))),
% 19.53/19.71      inference(unit_resolution,[status(thm)],[139, 136, 112])).
% 19.53/19.71  tff(141,plain,
% 19.53/19.71      (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))),
% 19.53/19.71      inference(symmetry,[status(thm)],[140])).
% 19.53/19.71  tff(142,plain,
% 19.53/19.71      (^[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))))),
% 19.53/19.71      inference(bind,[status(th)],[])).
% 19.53/19.71  tff(143,plain,
% 19.53/19.71      (![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)))),
% 19.53/19.71      inference(quant_intro,[status(thm)],[142])).
% 19.53/19.71  tff(144,plain,
% 19.53/19.71      (^[A: $i, B: $i] : trans(monotonicity(trans(monotonicity(rewrite((v2_cat_1(A) & l1_cat_1(A) & v2_cat_1(B) & l1_cat_1(B)) <=> (~((~l1_cat_1(B)) | (~v2_cat_1(A)) | (~l1_cat_1(A)) | (~v2_cat_1(B))))), ((~(v2_cat_1(A) & l1_cat_1(A) & v2_cat_1(B) & l1_cat_1(B))) <=> (~(~((~l1_cat_1(B)) | (~v2_cat_1(A)) | (~l1_cat_1(A)) | (~v2_cat_1(B))))))), rewrite((~(~((~l1_cat_1(B)) | (~v2_cat_1(A)) | (~l1_cat_1(A)) | (~v2_cat_1(B))))) <=> ((~l1_cat_1(B)) | (~v2_cat_1(A)) | (~l1_cat_1(A)) | (~v2_cat_1(B)))), ((~(v2_cat_1(A) & l1_cat_1(A) & v2_cat_1(B) & l1_cat_1(B))) <=> ((~l1_cat_1(B)) | (~v2_cat_1(A)) | (~l1_cat_1(A)) | (~v2_cat_1(B))))), (((~(v2_cat_1(A) & l1_cat_1(A) & v2_cat_1(B) & l1_cat_1(B))) | (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)))))),
% 19.53/19.71      inference(bind,[status(th)],[])).
% 19.53/19.71  tff(145,plain,
% 19.53/19.71      (![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)))),
% 19.53/19.71      inference(quant_intro,[status(thm)],[144])).
% 19.53/19.71  tff(146,plain,
% 19.53/19.71      (![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)))),
% 19.53/19.71      inference(rewrite,[status(thm)],[])).
% 19.53/19.71  tff(147,plain,
% 19.53/19.71      (^[A: $i, B: $i] : trans(monotonicity(trans(monotonicity(rewrite(((v2_cat_1(A) & l1_cat_1(A)) & v2_cat_1(B)) <=> (v2_cat_1(A) & l1_cat_1(A) & v2_cat_1(B))), ((((v2_cat_1(A) & l1_cat_1(A)) & v2_cat_1(B)) & l1_cat_1(B)) <=> ((v2_cat_1(A) & l1_cat_1(A) & v2_cat_1(B)) & l1_cat_1(B)))), rewrite(((v2_cat_1(A) & l1_cat_1(A) & v2_cat_1(B)) & l1_cat_1(B)) <=> (v2_cat_1(A) & l1_cat_1(A) & v2_cat_1(B) & l1_cat_1(B))), ((((v2_cat_1(A) & l1_cat_1(A)) & v2_cat_1(B)) & l1_cat_1(B)) <=> (v2_cat_1(A) & l1_cat_1(A) & v2_cat_1(B) & l1_cat_1(B)))), (((((v2_cat_1(A) & l1_cat_1(A)) & v2_cat_1(B)) & l1_cat_1(B)) => (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)))))),
% 19.53/19.71      inference(bind,[status(th)],[])).
% 19.53/19.71  tff(148,plain,
% 19.53/19.71      (![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)))),
% 19.53/19.71      inference(quant_intro,[status(thm)],[147])).
% 19.53/19.71  tff(149,axiom,(![A: $i, B: $i] : ((((v2_cat_1(A) & l1_cat_1(A)) & v2_cat_1(B)) & l1_cat_1(B)) => (k8_isocat_2(A, B) = k16_cat_2(A, B)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','redefinition_k8_isocat_2')).
% 19.53/19.71  tff(150,plain,
% 19.53/19.71      (![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)))),
% 19.53/19.71      inference(modus_ponens,[status(thm)],[149, 148])).
% 19.53/19.71  tff(151,plain,
% 19.53/19.71      (![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)))),
% 19.53/19.71      inference(modus_ponens,[status(thm)],[150, 146])).
% 19.53/19.71  tff(152,plain,(
% 19.53/19.71      ![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)))),
% 19.53/19.71      inference(skolemize,[status(sab)],[151])).
% 19.53/19.71  tff(153,plain,
% 19.53/19.71      (![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)))),
% 19.53/19.71      inference(modus_ponens,[status(thm)],[152, 145])).
% 19.53/19.71  tff(154,plain,
% 19.53/19.71      (![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)))),
% 19.53/19.71      inference(modus_ponens,[status(thm)],[153, 143])).
% 19.53/19.71  tff(155,plain,
% 19.53/19.71      (((~![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)))),
% 19.53/19.71      inference(rewrite,[status(thm)],[])).
% 19.53/19.71  tff(156,plain,
% 19.53/19.71      (((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)))),
% 19.53/19.71      inference(rewrite,[status(thm)],[])).
% 19.53/19.71  tff(157,plain,
% 19.53/19.71      (((~![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))))),
% 19.53/19.71      inference(monotonicity,[status(thm)],[156])).
% 19.53/19.71  tff(158,plain,
% 19.53/19.71      (((~![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)))),
% 19.53/19.71      inference(transitivity,[status(thm)],[157, 155])).
% 19.53/19.71  tff(159,plain,
% 19.53/19.71      ((~![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)))),
% 19.53/19.71      inference(quant_inst,[status(thm)],[])).
% 19.53/19.71  tff(160,plain,
% 19.53/19.71      ((~![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))),
% 19.53/19.71      inference(modus_ponens,[status(thm)],[159, 158])).
% 19.53/19.71  tff(161,plain,
% 19.53/19.71      (k8_isocat_2(B!1, C!2) = k16_cat_2(B!1, C!2)),
% 19.53/19.71      inference(unit_resolution,[status(thm)],[160, 32, 31, 30, 29, 154])).
% 19.53/19.71  tff(162,plain,
% 19.53/19.71      (k16_cat_2(B!1, C!2) = k8_isocat_2(B!1, C!2)),
% 19.53/19.71      inference(symmetry,[status(thm)],[161])).
% 19.53/19.71  tff(163,plain,
% 19.53/19.71      (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))),
% 19.53/19.71      inference(monotonicity,[status(thm)],[71, 162])).
% 19.53/19.71  tff(164,plain,
% 19.53/19.71      (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))),
% 19.53/19.71      inference(transitivity,[status(thm)],[163, 141, 73])).
% 19.53/19.71  tff(165,plain,
% 19.53/19.71      (^[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))))),
% 19.53/19.71      inference(bind,[status(th)],[])).
% 19.53/19.71  tff(166,plain,
% 19.53/19.71      (![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)))),
% 19.53/19.71      inference(quant_intro,[status(thm)],[165])).
% 19.53/19.71  tff(167,plain,
% 19.53/19.71      (^[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)))))),
% 19.53/19.71      inference(bind,[status(th)],[])).
% 19.53/19.71  tff(168,plain,
% 19.53/19.71      (![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)))),
% 19.53/19.71      inference(quant_intro,[status(thm)],[167])).
% 19.53/19.71  tff(169,plain,
% 19.53/19.71      (![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))),
% 19.53/19.71      inference(rewrite,[status(thm)],[])).
% 19.53/19.71  tff(170,plain,
% 19.53/19.71      (^[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))))),
% 19.53/19.71      inference(bind,[status(th)],[])).
% 19.53/19.71  tff(171,plain,
% 19.53/19.71      (![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))),
% 19.53/19.71      inference(quant_intro,[status(thm)],[170])).
% 19.53/19.71  tff(172,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/sandbox2/benchmark/theBenchmark.p','dt_k11_isocat_2')).
% 19.53/19.71  tff(173,plain,
% 19.53/19.71      (![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))),
% 19.53/19.71      inference(modus_ponens,[status(thm)],[172, 171])).
% 19.53/19.71  tff(174,plain,
% 19.53/19.71      (![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))),
% 19.53/19.71      inference(modus_ponens,[status(thm)],[173, 169])).
% 19.53/19.71  tff(175,plain,(
% 19.53/19.71      ![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))),
% 19.53/19.71      inference(skolemize,[status(sab)],[174])).
% 19.53/19.71  tff(176,plain,
% 19.53/19.71      (![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)))),
% 19.53/19.71      inference(modus_ponens,[status(thm)],[175, 168])).
% 19.53/19.72  tff(177,plain,
% 19.53/19.72      (![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)))),
% 19.53/19.72      inference(modus_ponens,[status(thm)],[176, 166])).
% 19.53/19.72  tff(178,plain,
% 19.53/19.72      (((~![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)))),
% 19.53/19.72      inference(rewrite,[status(thm)],[])).
% 19.53/19.72  tff(179,plain,
% 19.53/19.72      ((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)))),
% 19.53/19.72      inference(rewrite,[status(thm)],[])).
% 19.53/19.72  tff(180,plain,
% 19.53/19.72      (((~![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))))),
% 19.53/19.72      inference(monotonicity,[status(thm)],[179])).
% 19.53/19.72  tff(181,plain,
% 19.53/19.72      (((~![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)))),
% 19.53/19.72      inference(transitivity,[status(thm)],[180, 178])).
% 19.53/19.72  tff(182,plain,
% 19.53/19.72      ((~![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)))),
% 19.53/19.72      inference(quant_inst,[status(thm)],[])).
% 19.53/19.72  tff(183,plain,
% 19.53/19.72      ((~![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))),
% 19.53/19.72      inference(modus_ponens,[status(thm)],[182, 181])).
% 19.53/19.72  tff(184,plain,
% 19.53/19.72      (m2_cat_1(k11_isocat_2(A!0, B!1, C!2, D!3), A!0, B!1)),
% 19.53/19.72      inference(unit_resolution,[status(thm)],[183, 63, 62, 32, 31, 30, 29, 61, 177])).
% 19.53/19.72  tff(185,plain,
% 19.53/19.72      (((~![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))))),
% 19.53/19.72      inference(rewrite,[status(thm)],[])).
% 19.53/19.72  tff(186,plain,
% 19.53/19.72      (((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))))),
% 19.53/19.72      inference(rewrite,[status(thm)],[])).
% 19.53/19.72  tff(187,plain,
% 19.53/19.72      (((~![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)))))),
% 19.53/19.72      inference(monotonicity,[status(thm)],[186])).
% 19.53/19.72  tff(188,plain,
% 19.53/19.72      (((~![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))))),
% 19.53/19.72      inference(transitivity,[status(thm)],[187, 185])).
% 19.53/19.72  tff(189,plain,
% 19.53/19.72      ((~![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)))),
% 19.53/19.72      inference(quant_inst,[status(thm)],[])).
% 19.53/19.72  tff(190,plain,
% 19.53/19.72      ((~![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)))),
% 19.53/19.72      inference(modus_ponens,[status(thm)],[189, 188])).
% 19.53/19.72  tff(191,plain,
% 19.53/19.72      (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))),
% 19.53/19.72      inference(unit_resolution,[status(thm)],[190, 63, 62, 32, 31, 59, 184])).
% 19.53/19.72  tff(192,plain,
% 19.53/19.72      (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))),
% 19.53/19.72      inference(symmetry,[status(thm)],[191])).
% 19.53/19.72  tff(193,plain,
% 19.53/19.72      (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)))),
% 19.53/19.72      inference(monotonicity,[status(thm)],[192, 164])).
% 19.53/19.72  tff(194,plain,
% 19.53/19.72      (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)))),
% 19.53/19.72      inference(monotonicity,[status(thm)],[164])).
% 19.53/19.72  tff(195,plain,
% 19.53/19.72      (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)))),
% 19.53/19.72      inference(symmetry,[status(thm)],[194])).
% 19.53/19.72  tff(196,plain,
% 19.53/19.72      (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))),
% 19.53/19.72      inference(symmetry,[status(thm)],[73])).
% 19.53/19.72  tff(197,plain,
% 19.53/19.72      (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))),
% 19.53/19.72      inference(monotonicity,[status(thm)],[196])).
% 19.53/19.72  tff(198,plain,
% 19.53/19.72      (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))),
% 19.53/19.72      inference(symmetry,[status(thm)],[197])).
% 19.53/19.72  tff(199,plain,
% 19.53/19.72      (^[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)))))),
% 19.53/19.72      inference(bind,[status(th)],[])).
% 19.53/19.72  tff(200,plain,
% 19.53/19.72      (![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))))),
% 19.53/19.72      inference(quant_intro,[status(thm)],[199])).
% 19.53/19.72  tff(201,plain,
% 19.53/19.72      (^[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))))))),
% 19.53/19.72      inference(bind,[status(th)],[])).
% 19.53/19.72  tff(202,plain,
% 19.53/19.72      (![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(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))))),
% 19.53/19.72      inference(quant_intro,[status(thm)],[201])).
% 19.53/19.72  tff(203,plain,
% 19.53/19.72      (![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(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)))),
% 19.53/19.72      inference(rewrite,[status(thm)],[])).
% 19.53/19.72  tff(204,plain,
% 19.53/19.72      (^[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)))))),
% 19.53/19.72      inference(bind,[status(th)],[])).
% 19.53/19.72  tff(205,plain,
% 19.53/19.72      (![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(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)))),
% 19.53/19.72      inference(quant_intro,[status(thm)],[204])).
% 19.53/19.72  tff(206,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/sandbox2/benchmark/theBenchmark.p','dt_k13_isocat_2')).
% 19.53/19.72  tff(207,plain,
% 19.53/19.72      (![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(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)))),
% 19.53/19.72      inference(modus_ponens,[status(thm)],[206, 205])).
% 19.53/19.72  tff(208,plain,
% 19.53/19.72      (![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(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)))),
% 19.53/19.72      inference(modus_ponens,[status(thm)],[207, 203])).
% 19.53/19.72  tff(209,plain,(
% 19.53/19.72      ![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(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)))),
% 19.53/19.72      inference(skolemize,[status(sab)],[208])).
% 19.53/19.72  tff(210,plain,
% 19.53/19.72      (![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))))),
% 19.53/19.72      inference(modus_ponens,[status(thm)],[209, 202])).
% 19.53/19.72  tff(211,plain,
% 19.53/19.72      (![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))))),
% 19.53/19.72      inference(modus_ponens,[status(thm)],[210, 200])).
% 19.53/19.72  tff(212,plain,
% 19.53/19.72      (((~![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)))),
% 19.53/19.72      inference(rewrite,[status(thm)],[])).
% 19.53/19.72  tff(213,plain,
% 19.53/19.72      ((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)))),
% 19.53/19.72      inference(rewrite,[status(thm)],[])).
% 19.53/19.72  tff(214,plain,
% 19.53/19.72      (((~![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))))),
% 19.53/19.73      inference(monotonicity,[status(thm)],[213])).
% 19.53/19.73  tff(215,plain,
% 19.53/19.73      (((~![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)))),
% 19.53/19.73      inference(transitivity,[status(thm)],[214, 212])).
% 19.53/19.73  tff(216,plain,
% 19.53/19.73      ((~![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))))),
% 19.53/19.73      inference(quant_inst,[status(thm)],[])).
% 19.53/19.73  tff(217,plain,
% 19.53/19.73      ((~![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))),
% 19.53/19.73      inference(modus_ponens,[status(thm)],[216, 215])).
% 19.53/19.73  tff(218,plain,
% 19.53/19.73      (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))),
% 19.53/19.73      inference(unit_resolution,[status(thm)],[217, 63, 62, 32, 31, 30, 29, 61, 211])).
% 19.53/19.73  tff(219,plain,
% 19.53/19.73      (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))),
% 19.53/19.73      inference(unit_resolution,[status(thm)],[218, 136])).
% 19.53/19.73  tff(220,plain,
% 19.53/19.73      (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))),
% 19.53/19.73      inference(modus_ponens,[status(thm)],[219, 198])).
% 19.53/19.73  tff(221,plain,
% 19.53/19.73      (^[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))))),
% 19.53/19.73      inference(bind,[status(th)],[])).
% 19.53/19.73  tff(222,plain,
% 19.53/19.73      (![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)))),
% 19.53/19.73      inference(quant_intro,[status(thm)],[221])).
% 19.53/19.73  tff(223,plain,
% 19.53/19.73      (^[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))))),
% 19.53/19.73      inference(bind,[status(th)],[])).
% 19.53/19.73  tff(224,plain,
% 19.53/19.73      (![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)))),
% 19.53/19.73      inference(quant_intro,[status(thm)],[223])).
% 19.53/19.73  tff(225,plain,
% 19.53/19.73      (^[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))))),
% 19.53/19.73      inference(bind,[status(th)],[])).
% 19.53/19.73  tff(226,plain,
% 19.53/19.73      (![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)))),
% 19.53/19.73      inference(quant_intro,[status(thm)],[225])).
% 19.53/19.73  tff(227,plain,
% 19.53/19.73      (![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)))),
% 19.53/19.73      inference(transitivity,[status(thm)],[226, 224])).
% 19.53/19.73  tff(228,plain,
% 19.53/19.73      (^[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)))))),
% 19.53/19.73      inference(bind,[status(th)],[])).
% 19.53/19.73  tff(229,plain,
% 19.53/19.73      (![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)))),
% 19.53/19.73      inference(quant_intro,[status(thm)],[228])).
% 19.53/19.73  tff(230,plain,
% 19.53/19.73      (![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)))),
% 19.53/19.73      inference(rewrite,[status(thm)],[])).
% 19.53/19.73  tff(231,plain,
% 19.53/19.73      (^[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)))))),
% 19.53/19.73      inference(bind,[status(th)],[])).
% 19.53/19.73  tff(232,plain,
% 19.53/19.73      (![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)))),
% 19.53/19.73      inference(quant_intro,[status(thm)],[231])).
% 19.53/19.73  tff(233,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/sandbox2/benchmark/theBenchmark.p','dt_m2_nattra_1')).
% 19.53/19.73  tff(234,plain,
% 19.53/19.73      (![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)))),
% 19.53/19.73      inference(modus_ponens,[status(thm)],[233, 232])).
% 19.53/19.73  tff(235,plain,
% 19.53/19.73      (![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)))),
% 19.53/19.73      inference(modus_ponens,[status(thm)],[234, 230])).
% 19.53/19.73  tff(236,plain,(
% 19.53/19.73      ![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)))),
% 19.53/19.73      inference(skolemize,[status(sab)],[235])).
% 19.53/19.73  tff(237,plain,
% 19.53/19.73      (![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)))),
% 19.57/19.73      inference(modus_ponens,[status(thm)],[236, 229])).
% 19.57/19.73  tff(238,plain,
% 19.57/19.73      (![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)))),
% 19.57/19.73      inference(modus_ponens,[status(thm)],[237, 227])).
% 19.57/19.73  tff(239,plain,
% 19.57/19.73      (![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)))),
% 19.57/19.73      inference(modus_ponens,[status(thm)],[238, 222])).
% 19.57/19.73  tff(240,plain,
% 19.57/19.73      (((~![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(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))))),
% 19.57/19.73      inference(rewrite,[status(thm)],[])).
% 19.57/19.73  tff(241,plain,
% 19.57/19.73      (((~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))))),
% 19.57/19.73      inference(rewrite,[status(thm)],[])).
% 19.57/19.73  tff(242,plain,
% 19.57/19.73      (((~![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(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)))))),
% 19.57/19.73      inference(monotonicity,[status(thm)],[241])).
% 19.57/19.73  tff(243,plain,
% 19.57/19.73      (((~![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(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))))),
% 19.57/19.73      inference(transitivity,[status(thm)],[242, 240])).
% 19.57/19.73  tff(244,plain,
% 19.57/19.73      ((~![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(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))))),
% 19.57/19.73      inference(quant_inst,[status(thm)],[])).
% 19.57/19.73  tff(245,plain,
% 19.57/19.73      ((~![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(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)))),
% 19.57/19.73      inference(modus_ponens,[status(thm)],[244, 243])).
% 19.57/19.73  tff(246,plain,
% 19.57/19.73      (![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)))),
% 19.57/19.73      inference(unit_resolution,[status(thm)],[245, 63, 62, 32, 31, 239, 184])).
% 19.57/19.73  tff(247,plain,
% 19.57/19.73      (((~![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)))),
% 19.57/19.73      inference(rewrite,[status(thm)],[])).
% 19.57/19.73  tff(248,plain,
% 19.57/19.73      ((~![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)))),
% 19.57/19.74      inference(quant_inst,[status(thm)],[])).
% 19.57/19.74  tff(249,plain,
% 19.57/19.74      ((~![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))),
% 19.57/19.74      inference(modus_ponens,[status(thm)],[248, 247])).
% 19.57/19.74  tff(250,plain,
% 19.57/19.74      ((~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))),
% 19.57/19.74      inference(unit_resolution,[status(thm)],[249, 246])).
% 19.57/19.74  tff(251,plain,
% 19.57/19.74      (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))),
% 19.57/19.74      inference(unit_resolution,[status(thm)],[250, 220])).
% 19.57/19.74  tff(252,plain,
% 19.57/19.74      (^[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))))))))),
% 19.57/19.74      inference(bind,[status(th)],[])).
% 19.57/19.74  tff(253,plain,
% 19.57/19.74      (![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))))))) <=> ![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)))))))),
% 19.57/19.74      inference(quant_intro,[status(thm)],[252])).
% 19.57/19.74  tff(254,plain,
% 19.57/19.74      (^[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))))))))),
% 19.57/19.74      inference(bind,[status(th)],[])).
% 19.57/19.74  tff(255,plain,
% 19.57/19.74      (![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))))))) <=> ![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)))))))),
% 19.57/19.74      inference(quant_intro,[status(thm)],[254])).
% 19.57/19.74  tff(256,plain,
% 19.57/19.74      (![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))))))) <=> ![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)))))))),
% 19.57/19.74      inference(transitivity,[status(thm)],[255, 253])).
% 19.57/19.74  tff(257,plain,
% 19.57/19.74      (^[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)))))))))),
% 19.57/19.74      inference(bind,[status(th)],[])).
% 19.57/19.74  tff(258,plain,
% 19.57/19.74      (![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)))))))),
% 19.57/19.74      inference(quant_intro,[status(thm)],[257])).
% 19.57/19.74  tff(259,plain,
% 19.57/19.74      (![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)))))),
% 19.57/19.74      inference(rewrite,[status(thm)],[])).
% 19.57/19.74  tff(260,plain,
% 19.57/19.74      (^[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)))))))),
% 19.57/19.74      inference(bind,[status(th)],[])).
% 19.57/19.74  tff(261,plain,
% 19.57/19.74      (![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)))))),
% 19.57/19.74      inference(quant_intro,[status(thm)],[260])).
% 19.57/19.74  tff(262,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/sandbox2/benchmark/theBenchmark.p','dt_m1_nattra_1')).
% 19.57/19.74  tff(263,plain,
% 19.57/19.74      (![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)))))),
% 19.57/19.74      inference(modus_ponens,[status(thm)],[262, 261])).
% 19.57/19.74  tff(264,plain,
% 19.57/19.74      (![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)))))),
% 19.57/19.74      inference(modus_ponens,[status(thm)],[263, 259])).
% 19.57/19.74  tff(265,plain,(
% 19.57/19.74      ![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)))))),
% 19.57/19.74      inference(skolemize,[status(sab)],[264])).
% 19.57/19.74  tff(266,plain,
% 19.57/19.74      (![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)))))))),
% 19.57/19.74      inference(modus_ponens,[status(thm)],[265, 258])).
% 19.57/19.74  tff(267,plain,
% 19.57/19.74      (![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)))))))),
% 19.57/19.74      inference(modus_ponens,[status(thm)],[266, 256])).
% 19.57/19.74  tff(268,plain,
% 19.57/19.74      (((~![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(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)))))))),
% 19.57/19.74      inference(rewrite,[status(thm)],[])).
% 19.57/19.74  tff(269,plain,
% 19.57/19.74      (((~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)))))))),
% 19.57/19.74      inference(rewrite,[status(thm)],[])).
% 19.57/19.74  tff(270,plain,
% 19.57/19.74      (((~![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)))))))) | ((~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))))))))),
% 19.57/19.74      inference(monotonicity,[status(thm)],[269])).
% 19.57/19.74  tff(271,plain,
% 19.57/19.74      (((~![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)))))))) | ((~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)))))))),
% 19.57/19.74      inference(transitivity,[status(thm)],[270, 268])).
% 19.57/19.74  tff(272,plain,
% 19.57/19.74      ((~![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)))))))) | ((~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)))))))),
% 19.57/19.74      inference(quant_inst,[status(thm)],[])).
% 19.57/19.74  tff(273,plain,
% 19.57/19.74      ((~![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(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))))))),
% 19.57/19.74      inference(modus_ponens,[status(thm)],[272, 271])).
% 19.57/19.74  tff(274,plain,
% 19.57/19.74      (![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))))))),
% 19.57/19.74      inference(unit_resolution,[status(thm)],[273, 63, 62, 32, 31, 267, 184])).
% 19.57/19.74  tff(275,plain,
% 19.57/19.74      (((~![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))))))),
% 19.57/19.74      inference(rewrite,[status(thm)],[])).
% 19.57/19.74  tff(276,plain,
% 19.57/19.74      ((~![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))))))),
% 19.57/19.74      inference(quant_inst,[status(thm)],[])).
% 19.57/19.74  tff(277,plain,
% 19.57/19.74      ((~![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)))))),
% 19.57/19.74      inference(modus_ponens,[status(thm)],[276, 275])).
% 19.57/19.74  tff(278,plain,
% 19.57/19.74      (~((~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))))),
% 19.57/19.74      inference(unit_resolution,[status(thm)],[277, 274, 251])).
% 19.57/19.74  tff(279,plain,
% 19.57/19.74      (((~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)))),
% 19.57/19.74      inference(tautology,[status(thm)],[])).
% 19.57/19.74  tff(280,plain,
% 19.57/19.74      (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)))),
% 19.57/19.74      inference(unit_resolution,[status(thm)],[279, 278])).
% 19.57/19.74  tff(281,plain,
% 19.57/19.74      (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)))),
% 19.57/19.74      inference(modus_ponens,[status(thm)],[280, 195])).
% 19.57/19.74  tff(282,plain,
% 19.57/19.74      (^[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))))))))),
% 19.57/19.74      inference(bind,[status(th)],[])).
% 19.57/19.74  tff(283,plain,
% 19.57/19.74      (![A: $i] : ((~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)))))))),
% 19.57/19.74      inference(quant_intro,[status(thm)],[282])).
% 19.57/19.74  tff(284,plain,
% 19.57/19.74      (^[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))))))),
% 19.57/19.74      inference(bind,[status(th)],[])).
% 19.57/19.74  tff(285,plain,
% 19.57/19.74      (![A: $i] : ((~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)))))),
% 19.57/19.74      inference(quant_intro,[status(thm)],[284])).
% 19.57/19.74  tff(286,plain,
% 19.57/19.74      (^[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))))))),
% 19.57/19.74      inference(bind,[status(th)],[])).
% 19.57/19.74  tff(287,plain,
% 19.57/19.74      (![A: $i] : ((~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)))))),
% 19.57/19.75      inference(quant_intro,[status(thm)],[286])).
% 19.57/19.75  tff(288,plain,
% 19.57/19.75      (![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))) | (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)))))),
% 19.57/19.75      inference(transitivity,[status(thm)],[287, 285])).
% 19.57/19.75  tff(289,plain,
% 19.57/19.75      (^[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))) | (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)))))))),
% 19.57/19.75      inference(bind,[status(th)],[])).
% 19.57/19.75  tff(290,plain,
% 19.57/19.75      (![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)))))),
% 19.57/19.75      inference(quant_intro,[status(thm)],[289])).
% 19.57/19.75  tff(291,plain,
% 19.57/19.75      (![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)))))))),
% 19.57/19.75      inference(rewrite,[status(thm)],[])).
% 19.57/19.75  tff(292,plain,
% 19.57/19.75      (^[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)))))))))),
% 19.57/19.75      inference(bind,[status(th)],[])).
% 19.57/19.75  tff(293,plain,
% 19.57/19.75      (![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)))))))),
% 19.57/19.75      inference(quant_intro,[status(thm)],[292])).
% 19.57/19.75  tff(294,axiom,(![A: $i] : ((v2_cat_1(A) & l1_cat_1(A)) => ![B: $i] : ((v2_cat_1(B) & l1_cat_1(B)) => ![C: $i] : ((v2_cat_1(C) & l1_cat_1(C)) => ![D: $i] : (m2_cat_1(D, A, k11_cat_2(B, C)) => (k11_isocat_2(A, B, C, D) = k2_isocat_1(A, k11_cat_2(B, C), B, D, k8_isocat_2(B, C)))))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','d7_isocat_2')).
% 19.57/19.75  tff(295,plain,
% 19.57/19.75      (![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)))))))),
% 19.57/19.75      inference(modus_ponens,[status(thm)],[294, 293])).
% 19.57/19.75  tff(296,plain,
% 19.57/19.75      (![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)))))))),
% 19.57/19.75      inference(modus_ponens,[status(thm)],[295, 291])).
% 19.57/19.75  tff(297,plain,(
% 19.57/19.75      ![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)))))))),
% 19.57/19.75      inference(skolemize,[status(sab)],[296])).
% 19.57/19.75  tff(298,plain,
% 19.57/19.75      (![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))) | (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)))))),
% 19.57/19.75      inference(modus_ponens,[status(thm)],[297, 290])).
% 19.57/19.75  tff(299,plain,
% 19.57/19.75      (![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))) | (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)))))),
% 19.57/19.75      inference(modus_ponens,[status(thm)],[298, 288])).
% 19.57/19.75  tff(300,plain,
% 19.57/19.75      (![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)) | (~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)))))))),
% 19.57/19.75      inference(modus_ponens,[status(thm)],[299, 283])).
% 19.57/19.75  tff(301,plain,
% 19.57/19.75      (((~![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)) | (~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)))))))),
% 19.57/19.75      inference(rewrite,[status(thm)],[])).
% 19.57/19.75  tff(302,plain,
% 19.57/19.75      ((~![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)) | (~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)))))))),
% 19.57/19.75      inference(quant_inst,[status(thm)],[])).
% 19.57/19.75  tff(303,plain,
% 19.57/19.75      ((~![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)) | (~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))))))),
% 19.57/19.75      inference(modus_ponens,[status(thm)],[302, 301])).
% 19.57/19.75  tff(304,plain,
% 19.57/19.75      (![B: $i] : ((~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))))))),
% 19.57/19.75      inference(unit_resolution,[status(thm)],[303, 63, 62, 300])).
% 19.57/19.75  tff(305,plain,
% 19.57/19.75      (((~![B: $i] : ((~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))))))),
% 19.57/19.75      inference(rewrite,[status(thm)],[])).
% 19.57/19.75  tff(306,plain,
% 19.57/19.75      ((~![B: $i] : ((~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))))))),
% 19.57/19.75      inference(quant_inst,[status(thm)],[])).
% 19.57/19.75  tff(307,plain,
% 19.57/19.75      ((~![B: $i] : ((~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)))))),
% 19.57/19.75      inference(modus_ponens,[status(thm)],[306, 305])).
% 19.57/19.75  tff(308,plain,
% 19.57/19.75      (![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)))))),
% 19.57/19.75      inference(unit_resolution,[status(thm)],[307, 32, 31, 304])).
% 19.57/19.75  tff(309,plain,
% 19.57/19.75      (((~![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)))))),
% 19.57/19.75      inference(rewrite,[status(thm)],[])).
% 19.57/19.75  tff(310,plain,
% 19.57/19.75      ((~![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)))))),
% 19.57/19.75      inference(quant_inst,[status(thm)],[])).
% 19.57/19.75  tff(311,plain,
% 19.57/19.75      ((~![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))))),
% 19.57/19.75      inference(modus_ponens,[status(thm)],[310, 309])).
% 19.57/19.75  tff(312,plain,
% 19.57/19.75      (![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))))),
% 19.57/19.75      inference(unit_resolution,[status(thm)],[311, 30, 29, 308])).
% 19.57/19.75  tff(313,plain,
% 19.57/19.75      (((~![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))))),
% 19.57/19.75      inference(rewrite,[status(thm)],[])).
% 19.57/19.75  tff(314,plain,
% 19.57/19.75      ((~![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))))),
% 19.57/19.75      inference(quant_inst,[status(thm)],[])).
% 19.57/19.75  tff(315,plain,
% 19.57/19.75      ((~![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)))),
% 19.57/19.75      inference(modus_ponens,[status(thm)],[314, 313])).
% 19.57/19.75  tff(316,plain,
% 19.57/19.75      (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))),
% 19.57/19.75      inference(unit_resolution,[status(thm)],[315, 61, 312])).
% 19.57/19.75  tff(317,plain,
% 19.57/19.75      (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)),
% 19.57/19.75      inference(symmetry,[status(thm)],[316])).
% 19.57/19.75  tff(318,plain,
% 19.57/19.75      (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))),
% 19.57/19.75      inference(monotonicity,[status(thm)],[162])).
% 19.57/19.75  tff(319,plain,
% 19.57/19.75      (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)),
% 19.57/19.75      inference(transitivity,[status(thm)],[318, 317])).
% 19.57/19.75  tff(320,plain,
% 19.57/19.75      (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))),
% 19.57/19.75      inference(monotonicity,[status(thm)],[319])).
% 19.57/19.75  tff(321,plain,
% 19.57/19.75      (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)))),
% 19.57/19.75      inference(symmetry,[status(thm)],[320])).
% 19.57/19.75  tff(322,plain,
% 19.57/19.75      (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)))),
% 19.57/19.75      inference(transitivity,[status(thm)],[192, 321])).
% 19.57/19.75  tff(323,plain,
% 19.57/19.75      (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))))),
% 19.57/19.75      inference(monotonicity,[status(thm)],[322])).
% 19.57/19.75  tff(324,plain,
% 19.57/19.75      (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)))),
% 19.57/19.75      inference(symmetry,[status(thm)],[323])).
% 19.57/19.75  tff(325,plain,
% 19.57/19.75      (^[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, 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)))))))))),
% 19.57/19.75      inference(bind,[status(th)],[])).
% 19.57/19.75  tff(326,plain,
% 19.57/19.75      (![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, 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))))))))),
% 19.57/19.75      inference(quant_intro,[status(thm)],[325])).
% 19.57/19.75  tff(327,plain,
% 19.57/19.75      (^[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, 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))))))),
% 19.57/19.75      inference(bind,[status(th)],[])).
% 19.57/19.75  tff(328,plain,
% 19.57/19.75      (![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, 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)))))),
% 19.57/19.75      inference(quant_intro,[status(thm)],[327])).
% 19.57/19.75  tff(329,plain,
% 19.57/19.75      (^[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, 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))))))),
% 19.57/19.75      inference(bind,[status(th)],[])).
% 19.57/19.75  tff(330,plain,
% 19.57/19.75      (![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, 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)))))),
% 19.57/19.75      inference(quant_intro,[status(thm)],[329])).
% 19.57/19.75  tff(331,plain,
% 19.57/19.75      (![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, 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)))))),
% 19.57/19.75      inference(transitivity,[status(thm)],[330, 328])).
% 19.57/19.75  tff(332,plain,
% 19.57/19.75      (^[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, 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)))))))),
% 19.57/19.76      inference(bind,[status(th)],[])).
% 19.57/19.76  tff(333,plain,
% 19.57/19.76      (![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, 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)))))),
% 19.57/19.76      inference(quant_intro,[status(thm)],[332])).
% 19.57/19.76  tff(334,plain,
% 19.57/19.76      (![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, 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))))))))),
% 19.57/19.76      inference(rewrite,[status(thm)],[])).
% 19.57/19.76  tff(335,plain,
% 19.57/19.76      (^[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] : 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))))))))))),
% 19.57/19.76      inference(bind,[status(th)],[])).
% 19.57/19.76  tff(336,plain,
% 19.57/19.76      (![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, 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))))))))),
% 19.57/19.76      inference(quant_intro,[status(thm)],[335])).
% 19.57/19.76  tff(337,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/sandbox2/benchmark/theBenchmark.p','t38_isocat_1')).
% 19.57/19.76  tff(338,plain,
% 19.57/19.76      (![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, 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))))))))),
% 19.57/19.76      inference(modus_ponens,[status(thm)],[337, 336])).
% 19.57/19.76  tff(339,plain,
% 19.57/19.76      (![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, 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))))))))),
% 19.57/19.76      inference(modus_ponens,[status(thm)],[338, 334])).
% 19.57/19.76  tff(340,plain,(
% 19.57/19.76      ![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, 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))))))))),
% 19.57/19.76      inference(skolemize,[status(sab)],[339])).
% 19.57/19.76  tff(341,plain,
% 19.57/19.76      (![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, 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)))))),
% 19.57/19.76      inference(modus_ponens,[status(thm)],[340, 333])).
% 19.57/19.76  tff(342,plain,
% 19.57/19.76      (![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, 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)))))),
% 19.57/19.76      inference(modus_ponens,[status(thm)],[341, 331])).
% 19.57/19.76  tff(343,plain,
% 19.57/19.76      (![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, 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))))))))),
% 19.57/19.76      inference(modus_ponens,[status(thm)],[342, 326])).
% 19.57/19.76  tff(344,plain,
% 19.57/19.76      (((~![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, 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))))))))),
% 19.57/19.76      inference(rewrite,[status(thm)],[])).
% 19.57/19.76  tff(345,plain,
% 19.57/19.76      ((~![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, 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))))))))),
% 19.57/19.76      inference(quant_inst,[status(thm)],[])).
% 19.57/19.76  tff(346,plain,
% 19.57/19.76      ((~![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, 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)))))))),
% 19.57/19.76      inference(modus_ponens,[status(thm)],[345, 344])).
% 19.57/19.76  tff(347,plain,
% 19.57/19.76      (![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, 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)))))))),
% 19.57/19.76      inference(unit_resolution,[status(thm)],[346, 63, 62, 343])).
% 19.57/19.76  tff(348,plain,
% 19.57/19.76      (((~![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, 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)))))))),
% 19.57/19.76      inference(rewrite,[status(thm)],[])).
% 19.57/19.76  tff(349,plain,
% 19.57/19.76      ((~![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, 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)))))))),
% 19.57/19.76      inference(quant_inst,[status(thm)],[])).
% 19.57/19.76  tff(350,plain,
% 19.57/19.76      ((~![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, 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))))))),
% 19.57/19.76      inference(modus_ponens,[status(thm)],[349, 348])).
% 19.57/19.76  tff(351,plain,
% 19.57/19.76      (![C: $i] : ((~l1_cat_1(C)) | (~v2_cat_1(C)) | ![D: $i] : ((~m2_cat_1(D, A!0, k11_cat_2(B!1, C!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))))))),
% 19.57/19.76      inference(unit_resolution,[status(thm)],[350, 44, 46, 347])).
% 19.57/19.76  tff(352,plain,
% 19.57/19.76      (((~![C: $i] : ((~l1_cat_1(C)) | (~v2_cat_1(C)) | ![D: $i] : ((~m2_cat_1(D, A!0, k11_cat_2(B!1, C!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))))))),
% 19.57/19.76      inference(rewrite,[status(thm)],[])).
% 19.57/19.76  tff(353,plain,
% 19.57/19.76      ((~![C: $i] : ((~l1_cat_1(C)) | (~v2_cat_1(C)) | ![D: $i] : ((~m2_cat_1(D, A!0, k11_cat_2(B!1, C!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))))))),
% 19.57/19.76      inference(quant_inst,[status(thm)],[])).
% 19.57/19.76  tff(354,plain,
% 19.57/19.76      ((~![C: $i] : ((~l1_cat_1(C)) | (~v2_cat_1(C)) | ![D: $i] : ((~m2_cat_1(D, A!0, k11_cat_2(B!1, C!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)))))),
% 19.57/19.76      inference(modus_ponens,[status(thm)],[353, 352])).
% 19.57/19.76  tff(355,plain,
% 19.57/19.76      (![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)))))),
% 19.57/19.76      inference(unit_resolution,[status(thm)],[354, 32, 31, 351])).
% 19.57/19.76  tff(356,plain,
% 19.57/19.76      (((~![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)))))),
% 19.57/19.76      inference(rewrite,[status(thm)],[])).
% 19.57/19.76  tff(357,plain,
% 19.57/19.76      ((~![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)))))),
% 19.57/19.76      inference(quant_inst,[status(thm)],[])).
% 19.57/19.76  tff(358,plain,
% 19.57/19.76      ((~![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))))),
% 19.57/19.76      inference(modus_ponens,[status(thm)],[357, 356])).
% 19.57/19.76  tff(359,plain,
% 19.57/19.76      (![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))))),
% 19.57/19.76      inference(unit_resolution,[status(thm)],[358, 61, 355])).
% 19.57/19.76  tff(360,plain,
% 19.57/19.76      (^[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))))),
% 19.57/19.76      inference(bind,[status(th)],[])).
% 19.57/19.76  tff(361,plain,
% 19.57/19.76      (![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)))),
% 19.57/19.76      inference(quant_intro,[status(thm)],[360])).
% 19.57/19.76  tff(362,plain,
% 19.57/19.76      (^[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)))))),
% 19.57/19.77      inference(bind,[status(th)],[])).
% 19.57/19.77  tff(363,plain,
% 19.57/19.77      (![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)))),
% 19.57/19.77      inference(quant_intro,[status(thm)],[362])).
% 19.57/19.77  tff(364,plain,
% 19.57/19.77      (![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))),
% 19.57/19.77      inference(rewrite,[status(thm)],[])).
% 19.57/19.77  tff(365,plain,
% 19.57/19.77      (^[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))))),
% 19.57/19.77      inference(bind,[status(th)],[])).
% 19.57/19.77  tff(366,plain,
% 19.57/19.77      (![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))),
% 19.57/19.77      inference(quant_intro,[status(thm)],[365])).
% 19.57/19.77  tff(367,axiom,(![A: $i, B: $i] : ((((v2_cat_1(A) & l1_cat_1(A)) & v2_cat_1(B)) & l1_cat_1(B)) => m2_cat_1(k16_cat_2(A, B), k11_cat_2(A, B), A))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','dt_k16_cat_2')).
% 19.57/19.77  tff(368,plain,
% 19.57/19.77      (![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))),
% 19.57/19.77      inference(modus_ponens,[status(thm)],[367, 366])).
% 19.57/19.77  tff(369,plain,
% 19.57/19.77      (![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))),
% 19.57/19.77      inference(modus_ponens,[status(thm)],[368, 364])).
% 19.57/19.77  tff(370,plain,(
% 19.57/19.77      ![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))),
% 19.57/19.77      inference(skolemize,[status(sab)],[369])).
% 19.57/19.77  tff(371,plain,
% 19.57/19.77      (![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)))),
% 19.57/19.77      inference(modus_ponens,[status(thm)],[370, 363])).
% 19.57/19.77  tff(372,plain,
% 19.57/19.77      (![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)))),
% 19.57/19.77      inference(modus_ponens,[status(thm)],[371, 361])).
% 19.57/19.77  tff(373,plain,
% 19.57/19.77      (((~![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))),
% 19.57/19.77      inference(rewrite,[status(thm)],[])).
% 19.57/19.77  tff(374,plain,
% 19.57/19.77      ((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))),
% 19.57/19.77      inference(rewrite,[status(thm)],[])).
% 19.57/19.77  tff(375,plain,
% 19.57/19.77      (((~![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)))),
% 19.57/19.77      inference(monotonicity,[status(thm)],[374])).
% 19.57/19.77  tff(376,plain,
% 19.57/19.77      (((~![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))),
% 19.57/19.77      inference(transitivity,[status(thm)],[375, 373])).
% 19.57/19.77  tff(377,plain,
% 19.57/19.77      ((~![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)))),
% 19.57/19.77      inference(quant_inst,[status(thm)],[])).
% 19.57/19.77  tff(378,plain,
% 19.57/19.77      ((~![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)),
% 19.57/19.77      inference(modus_ponens,[status(thm)],[377, 376])).
% 19.57/19.77  tff(379,plain,
% 19.57/19.77      (m2_cat_1(k16_cat_2(B!1, C!2), k11_cat_2(B!1, C!2), B!1)),
% 19.57/19.77      inference(unit_resolution,[status(thm)],[378, 32, 31, 30, 29, 372])).
% 19.57/19.77  tff(380,plain,
% 19.57/19.77      (((~![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)))))),
% 19.57/19.77      inference(rewrite,[status(thm)],[])).
% 19.57/19.77  tff(381,plain,
% 19.57/19.77      ((~![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)))))),
% 19.57/19.77      inference(quant_inst,[status(thm)],[])).
% 19.57/19.77  tff(382,plain,
% 19.57/19.77      ((~![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))))),
% 19.57/19.77      inference(modus_ponens,[status(thm)],[381, 380])).
% 19.57/19.77  tff(383,plain,
% 19.57/19.77      (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))))),
% 19.57/19.77      inference(unit_resolution,[status(thm)],[382, 379, 359])).
% 19.57/19.77  tff(384,plain,
% 19.57/19.77      (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)))),
% 19.57/19.77      inference(modus_ponens,[status(thm)],[383, 324])).
% 19.57/19.77  tff(385,plain,
% 19.57/19.77      (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))),
% 19.57/19.77      inference(monotonicity,[status(thm)],[164])).
% 19.57/19.77  tff(386,plain,
% 19.57/19.77      (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))),
% 19.57/19.77      inference(symmetry,[status(thm)],[385])).
% 19.57/19.77  tff(387,plain,
% 19.57/19.77      (((~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))),
% 19.57/19.77      inference(tautology,[status(thm)],[])).
% 19.57/19.77  tff(388,plain,
% 19.57/19.77      (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))),
% 19.57/19.77      inference(unit_resolution,[status(thm)],[387, 278])).
% 19.57/19.77  tff(389,plain,
% 19.57/19.77      (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))),
% 19.57/19.77      inference(modus_ponens,[status(thm)],[388, 386])).
% 19.57/19.77  tff(390,plain,
% 19.57/19.77      (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))),
% 19.57/19.77      inference(symmetry,[status(thm)],[163])).
% 19.57/19.77  tff(391,plain,
% 19.57/19.77      (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))),
% 19.57/19.77      inference(transitivity,[status(thm)],[196, 140, 390])).
% 19.57/19.77  tff(392,plain,
% 19.57/19.77      (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))),
% 19.57/19.77      inference(monotonicity,[status(thm)],[391])).
% 19.57/19.77  tff(393,plain,
% 19.57/19.77      (^[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)))),
% 19.57/19.77      inference(bind,[status(th)],[])).
% 19.57/19.77  tff(394,plain,
% 19.57/19.77      (![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))),
% 19.57/19.77      inference(quant_intro,[status(thm)],[393])).
% 19.57/19.77  tff(395,plain,
% 19.57/19.77      (![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))),
% 19.57/19.77      inference(rewrite,[status(thm)],[])).
% 19.57/19.77  tff(396,axiom,(![A: $i, B: $i, C: $i] : (m2_relset_1(C, A, B) <=> m1_relset_1(C, A, B))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','redefinition_m2_relset_1')).
% 19.57/19.77  tff(397,plain,
% 19.57/19.77      (![A: $i, B: $i, C: $i] : (m2_relset_1(C, A, B) <=> m1_relset_1(C, A, B))),
% 19.57/19.77      inference(modus_ponens,[status(thm)],[396, 395])).
% 19.57/19.77  tff(398,plain,(
% 19.57/19.77      ![A: $i, B: $i, C: $i] : (m2_relset_1(C, A, B) <=> m1_relset_1(C, A, B))),
% 19.57/19.77      inference(skolemize,[status(sab)],[397])).
% 19.57/19.77  tff(399,plain,
% 19.57/19.77      (![A: $i, B: $i, C: $i] : (m2_relset_1(C, A, B) <=> m1_relset_1(C, A, B))),
% 19.57/19.77      inference(modus_ponens,[status(thm)],[398, 394])).
% 19.57/19.77  tff(400,plain,
% 19.57/19.77      ((~![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)))),
% 19.57/19.77      inference(quant_inst,[status(thm)],[])).
% 19.57/19.77  tff(401,plain,
% 19.57/19.77      (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))),
% 19.57/19.77      inference(unit_resolution,[status(thm)],[400, 399])).
% 19.57/19.77  tff(402,plain,
% 19.57/19.77      (((~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))),
% 19.57/19.77      inference(tautology,[status(thm)],[])).
% 19.57/19.77  tff(403,plain,
% 19.57/19.77      (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))),
% 19.57/19.77      inference(unit_resolution,[status(thm)],[402, 278])).
% 19.57/19.77  tff(404,plain,
% 19.57/19.77      ((~(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))),
% 19.57/19.77      inference(tautology,[status(thm)],[])).
% 19.57/19.77  tff(405,plain,
% 19.57/19.77      ((~(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))),
% 19.57/19.77      inference(unit_resolution,[status(thm)],[404, 403])).
% 19.57/19.77  tff(406,plain,
% 19.57/19.77      (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))),
% 19.57/19.77      inference(unit_resolution,[status(thm)],[405, 401])).
% 19.57/19.77  tff(407,plain,
% 19.57/19.77      (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))),
% 19.57/19.77      inference(modus_ponens,[status(thm)],[406, 392])).
% 19.57/19.77  tff(408,plain,
% 19.57/19.77      ((~![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)))),
% 19.57/19.77      inference(quant_inst,[status(thm)],[])).
% 19.57/19.77  tff(409,plain,
% 19.57/19.77      (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))),
% 19.57/19.77      inference(unit_resolution,[status(thm)],[408, 399])).
% 19.57/19.77  tff(410,plain,
% 19.57/19.77      (^[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))))),
% 19.57/19.77      inference(bind,[status(th)],[])).
% 19.57/19.77  tff(411,plain,
% 19.57/19.77      (![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)))),
% 19.57/19.77      inference(quant_intro,[status(thm)],[410])).
% 19.57/19.77  tff(412,plain,
% 19.57/19.77      (^[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)))))),
% 19.57/19.77      inference(bind,[status(th)],[])).
% 19.57/19.77  tff(413,plain,
% 19.57/19.77      (![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)))),
% 19.57/19.77      inference(quant_intro,[status(thm)],[412])).
% 19.57/19.77  tff(414,plain,
% 19.57/19.77      (![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))),
% 19.57/19.77      inference(rewrite,[status(thm)],[])).
% 19.57/19.77  tff(415,plain,
% 19.57/19.77      (^[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))))),
% 19.57/19.77      inference(bind,[status(th)],[])).
% 19.57/19.77  tff(416,plain,
% 19.57/19.77      (![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))),
% 19.57/19.77      inference(quant_intro,[status(thm)],[415])).
% 19.57/19.77  tff(417,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/sandbox2/benchmark/theBenchmark.p','dt_k4_nattra_1')).
% 19.57/19.77  tff(418,plain,
% 19.57/19.77      (![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))),
% 19.57/19.77      inference(modus_ponens,[status(thm)],[417, 416])).
% 19.57/19.77  tff(419,plain,
% 19.57/19.77      (![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))),
% 19.57/19.77      inference(modus_ponens,[status(thm)],[418, 414])).
% 19.57/19.77  tff(420,plain,(
% 19.57/19.77      ![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))),
% 19.57/19.77      inference(skolemize,[status(sab)],[419])).
% 19.57/19.77  tff(421,plain,
% 19.57/19.77      (![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)))),
% 19.57/19.77      inference(modus_ponens,[status(thm)],[420, 413])).
% 19.57/19.77  tff(422,plain,
% 19.57/19.77      (![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)))),
% 19.57/19.77      inference(modus_ponens,[status(thm)],[421, 411])).
% 19.57/19.77  tff(423,plain,
% 19.57/19.77      (((~![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)))),
% 19.57/19.77      inference(rewrite,[status(thm)],[])).
% 19.57/19.77  tff(424,plain,
% 19.57/19.77      ((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)))),
% 19.57/19.77      inference(rewrite,[status(thm)],[])).
% 19.57/19.77  tff(425,plain,
% 19.57/19.77      (((~![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))))),
% 19.57/19.78      inference(monotonicity,[status(thm)],[424])).
% 19.57/19.78  tff(426,plain,
% 19.57/19.78      (((~![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)))),
% 19.57/19.78      inference(transitivity,[status(thm)],[425, 423])).
% 19.57/19.78  tff(427,plain,
% 19.57/19.78      ((~![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)))),
% 19.57/19.78      inference(quant_inst,[status(thm)],[])).
% 19.57/19.78  tff(428,plain,
% 19.57/19.78      ((~![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))),
% 19.57/19.78      inference(modus_ponens,[status(thm)],[427, 426])).
% 19.57/19.78  tff(429,plain,
% 19.57/19.78      (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))),
% 19.57/19.78      inference(unit_resolution,[status(thm)],[428, 63, 62, 32, 31, 422, 184])).
% 19.57/19.78  tff(430,plain,
% 19.57/19.78      (((~![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))))))),
% 19.57/19.78      inference(rewrite,[status(thm)],[])).
% 19.57/19.78  tff(431,plain,
% 19.57/19.78      ((~![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))))))),
% 19.57/19.78      inference(quant_inst,[status(thm)],[])).
% 19.57/19.78  tff(432,plain,
% 19.57/19.78      ((~![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)))))),
% 19.57/19.78      inference(modus_ponens,[status(thm)],[431, 430])).
% 19.57/19.78  tff(433,plain,
% 19.57/19.78      (~((~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))))),
% 19.57/19.78      inference(unit_resolution,[status(thm)],[432, 429, 274])).
% 19.57/19.78  tff(434,plain,
% 19.57/19.78      (((~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))),
% 19.57/19.78      inference(tautology,[status(thm)],[])).
% 19.57/19.78  tff(435,plain,
% 19.57/19.78      (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))),
% 19.57/19.78      inference(unit_resolution,[status(thm)],[434, 433])).
% 19.57/19.78  tff(436,plain,
% 19.57/19.78      ((~(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))),
% 19.57/19.78      inference(tautology,[status(thm)],[])).
% 19.57/19.78  tff(437,plain,
% 19.57/19.78      ((~(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))),
% 19.57/19.78      inference(unit_resolution,[status(thm)],[436, 435])).
% 19.57/19.78  tff(438,plain,
% 19.57/19.78      (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))),
% 19.57/19.78      inference(unit_resolution,[status(thm)],[437, 409])).
% 19.57/19.78  tff(439,plain,
% 19.57/19.78      (((~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))),
% 19.57/19.78      inference(tautology,[status(thm)],[])).
% 19.57/19.78  tff(440,plain,
% 19.57/19.78      (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))),
% 19.57/19.78      inference(unit_resolution,[status(thm)],[439, 433])).
% 19.57/19.78  tff(441,plain,
% 19.57/19.78      (((~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)))),
% 19.57/19.78      inference(tautology,[status(thm)],[])).
% 19.57/19.78  tff(442,plain,
% 19.57/19.78      (v1_funct_1(k4_nattra_1(A!0, B!1, k11_isocat_2(A!0, B!1, C!2, D!3)))),
% 19.57/19.78      inference(unit_resolution,[status(thm)],[441, 433])).
% 19.57/19.78  tff(443,plain,
% 19.57/19.78      (^[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)))))),
% 19.57/19.78      inference(bind,[status(th)],[])).
% 19.57/19.78  tff(444,plain,
% 19.57/19.78      (![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))))),
% 19.57/19.78      inference(quant_intro,[status(thm)],[443])).
% 19.57/19.78  tff(445,plain,
% 19.57/19.78      (![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))))),
% 19.57/19.78      inference(rewrite,[status(thm)],[])).
% 19.57/19.78  tff(446,plain,
% 19.57/19.78      (^[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)))))),
% 19.57/19.78      inference(bind,[status(th)],[])).
% 19.57/19.78  tff(447,plain,
% 19.57/19.78      (![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))))),
% 19.57/19.78      inference(quant_intro,[status(thm)],[446])).
% 19.57/19.78  tff(448,axiom,(![A: $i] : (l1_cat_1(A) => (~v1_xboole_0(u2_cat_1(A))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','dt_u2_cat_1')).
% 19.57/19.78  tff(449,plain,
% 19.57/19.78      (![A: $i] : ((~l1_cat_1(A)) | (~v1_xboole_0(u2_cat_1(A))))),
% 19.57/19.78      inference(modus_ponens,[status(thm)],[448, 447])).
% 19.57/19.78  tff(450,plain,
% 19.57/19.78      (![A: $i] : ((~l1_cat_1(A)) | (~v1_xboole_0(u2_cat_1(A))))),
% 19.57/19.78      inference(modus_ponens,[status(thm)],[449, 445])).
% 19.57/19.78  tff(451,plain,(
% 19.57/19.78      ![A: $i] : ((~l1_cat_1(A)) | (~v1_xboole_0(u2_cat_1(A))))),
% 19.57/19.78      inference(skolemize,[status(sab)],[450])).
% 19.57/19.78  tff(452,plain,
% 19.57/19.78      (![A: $i] : ((~l1_cat_1(A)) | (~v1_xboole_0(u2_cat_1(A))))),
% 19.57/19.78      inference(modus_ponens,[status(thm)],[451, 444])).
% 19.57/19.78  tff(453,plain,
% 19.57/19.78      (((~![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))))),
% 19.57/19.78      inference(rewrite,[status(thm)],[])).
% 19.57/19.78  tff(454,plain,
% 19.57/19.78      ((~![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))))),
% 19.57/19.78      inference(quant_inst,[status(thm)],[])).
% 19.57/19.78  tff(455,plain,
% 19.57/19.78      ((~![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)))),
% 19.57/19.78      inference(modus_ponens,[status(thm)],[454, 453])).
% 19.57/19.78  tff(456,plain,
% 19.57/19.78      (~v1_xboole_0(u2_cat_1(B!1))),
% 19.57/19.78      inference(unit_resolution,[status(thm)],[455, 31, 452])).
% 19.57/19.78  tff(457,plain,
% 19.57/19.78      (^[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)))))),
% 19.57/19.78      inference(bind,[status(th)],[])).
% 19.57/19.78  tff(458,plain,
% 19.57/19.78      (![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))))),
% 19.57/19.78      inference(quant_intro,[status(thm)],[457])).
% 19.57/19.78  tff(459,plain,
% 19.57/19.78      (![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))))),
% 19.57/19.78      inference(rewrite,[status(thm)],[])).
% 19.57/19.78  tff(460,plain,
% 19.57/19.78      (^[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)))))),
% 19.57/19.78      inference(bind,[status(th)],[])).
% 19.57/19.78  tff(461,plain,
% 19.57/19.78      (![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))))),
% 19.57/19.78      inference(quant_intro,[status(thm)],[460])).
% 19.57/19.78  tff(462,axiom,(![A: $i] : (l1_cat_1(A) => (~v1_xboole_0(u1_cat_1(A))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','dt_u1_cat_1')).
% 19.57/19.78  tff(463,plain,
% 19.57/19.78      (![A: $i] : ((~l1_cat_1(A)) | (~v1_xboole_0(u1_cat_1(A))))),
% 19.57/19.78      inference(modus_ponens,[status(thm)],[462, 461])).
% 19.57/19.78  tff(464,plain,
% 19.57/19.78      (![A: $i] : ((~l1_cat_1(A)) | (~v1_xboole_0(u1_cat_1(A))))),
% 19.57/19.78      inference(modus_ponens,[status(thm)],[463, 459])).
% 19.57/19.78  tff(465,plain,(
% 19.57/19.78      ![A: $i] : ((~l1_cat_1(A)) | (~v1_xboole_0(u1_cat_1(A))))),
% 19.57/19.78      inference(skolemize,[status(sab)],[464])).
% 19.57/19.78  tff(466,plain,
% 19.57/19.78      (![A: $i] : ((~l1_cat_1(A)) | (~v1_xboole_0(u1_cat_1(A))))),
% 19.57/19.78      inference(modus_ponens,[status(thm)],[465, 458])).
% 19.57/19.78  tff(467,plain,
% 19.57/19.78      (((~![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))))),
% 19.57/19.78      inference(rewrite,[status(thm)],[])).
% 19.57/19.78  tff(468,plain,
% 19.57/19.78      ((~![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))))),
% 19.57/19.78      inference(quant_inst,[status(thm)],[])).
% 19.57/19.78  tff(469,plain,
% 19.57/19.78      ((~![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)))),
% 19.57/19.78      inference(modus_ponens,[status(thm)],[468, 467])).
% 19.57/19.78  tff(470,plain,
% 19.57/19.78      (~v1_xboole_0(u1_cat_1(A!0))),
% 19.57/19.78      inference(unit_resolution,[status(thm)],[469, 62, 466])).
% 19.57/19.78  tff(471,plain,
% 19.57/19.78      (^[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))))),
% 19.57/19.78      inference(bind,[status(th)],[])).
% 19.57/19.78  tff(472,plain,
% 19.57/19.78      (![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)))),
% 19.57/19.78      inference(quant_intro,[status(thm)],[471])).
% 19.57/19.78  tff(473,plain,
% 19.57/19.78      (^[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)))))),
% 19.57/19.78      inference(bind,[status(th)],[])).
% 19.57/19.78  tff(474,plain,
% 19.57/19.78      (![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)))),
% 19.57/19.78      inference(quant_intro,[status(thm)],[473])).
% 19.57/19.78  tff(475,plain,
% 19.57/19.78      (![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))))),
% 19.57/19.78      inference(rewrite,[status(thm)],[])).
% 19.57/19.78  tff(476,plain,
% 19.57/19.78      (^[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))))))),
% 19.57/19.78      inference(bind,[status(th)],[])).
% 19.57/19.78  tff(477,plain,
% 19.57/19.78      (![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))))),
% 19.57/19.78      inference(quant_intro,[status(thm)],[476])).
% 19.57/19.78  tff(478,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/sandbox2/benchmark/theBenchmark.p','symmetry_r4_nattra_1')).
% 19.57/19.78  tff(479,plain,
% 19.57/19.78      (![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))))),
% 19.57/19.78      inference(modus_ponens,[status(thm)],[478, 477])).
% 19.57/19.78  tff(480,plain,
% 19.57/19.78      (![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))))),
% 19.57/19.78      inference(modus_ponens,[status(thm)],[479, 475])).
% 19.57/19.78  tff(481,plain,(
% 19.57/19.78      ![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))))),
% 19.57/19.78      inference(skolemize,[status(sab)],[480])).
% 19.57/19.78  tff(482,plain,
% 19.57/19.78      (![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)))),
% 19.57/19.78      inference(modus_ponens,[status(thm)],[481, 474])).
% 19.57/19.78  tff(483,plain,
% 19.57/19.78      (![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)))),
% 19.57/19.78      inference(modus_ponens,[status(thm)],[482, 472])).
% 19.57/19.78  tff(484,plain,
% 19.57/19.78      (((~![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))))),
% 19.57/19.79      inference(rewrite,[status(thm)],[])).
% 19.57/19.79  tff(485,plain,
% 19.57/19.79      ((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))))),
% 19.57/19.79      inference(rewrite,[status(thm)],[])).
% 19.57/19.79  tff(486,plain,
% 19.57/19.79      (((~![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)))))),
% 19.57/19.79      inference(monotonicity,[status(thm)],[485])).
% 19.57/19.79  tff(487,plain,
% 19.57/19.79      (((~![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))))),
% 19.57/19.79      inference(transitivity,[status(thm)],[486, 484])).
% 19.57/19.79  tff(488,plain,
% 19.57/19.79      ((~![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))))),
% 19.57/19.79      inference(quant_inst,[status(thm)],[])).
% 19.57/19.79  tff(489,plain,
% 19.57/19.79      ((~![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)))),
% 19.57/19.79      inference(modus_ponens,[status(thm)],[488, 487])).
% 19.57/19.79  tff(490,plain,
% 19.57/19.79      ((~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)))),
% 19.57/19.79      inference(unit_resolution,[status(thm)],[489, 483, 470, 456, 442, 440, 438])).
% 19.57/19.79  tff(491,plain,
% 19.57/19.79      (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)))),
% 19.57/19.79      inference(unit_resolution,[status(thm)],[490, 407, 389, 384, 281])).
% 19.57/19.79  tff(492,plain,
% 19.57/19.79      (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)))),
% 19.57/19.79      inference(modus_ponens,[status(thm)],[491, 193])).
% 19.57/19.79  tff(493,plain,
% 19.57/19.79      (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))),
% 19.57/19.79      inference(monotonicity,[status(thm)],[72])).
% 19.57/19.79  tff(494,plain,
% 19.57/19.79      (^[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))))))))))),
% 19.57/19.79      inference(bind,[status(th)],[])).
% 19.57/19.79  tff(495,plain,
% 19.57/19.79      (![A: $i] : ((~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)))))))))),
% 19.57/19.79      inference(quant_intro,[status(thm)],[494])).
% 19.57/19.79  tff(496,plain,
% 19.57/19.79      (^[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))))))),
% 19.57/19.79      inference(bind,[status(th)],[])).
% 19.57/19.79  tff(497,plain,
% 19.57/19.79      (![A: $i] : ((~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)))))),
% 19.57/19.79      inference(quant_intro,[status(thm)],[496])).
% 19.57/19.79  tff(498,plain,
% 19.57/19.79      (^[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))))))),
% 19.57/19.79      inference(bind,[status(th)],[])).
% 19.57/19.79  tff(499,plain,
% 19.57/19.79      (![A: $i] : ((~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)))))),
% 19.57/19.79      inference(quant_intro,[status(thm)],[498])).
% 19.57/19.79  tff(500,plain,
% 19.57/19.79      (![A: $i] : ((~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)))))),
% 19.57/19.79      inference(transitivity,[status(thm)],[499, 497])).
% 19.57/19.79  tff(501,plain,
% 19.57/19.79      (^[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)))))))),
% 19.57/19.80      inference(bind,[status(th)],[])).
% 19.57/19.80  tff(502,plain,
% 19.57/19.80      (![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)))))),
% 19.57/19.80      inference(quant_intro,[status(thm)],[501])).
% 19.57/19.80  tff(503,plain,
% 19.57/19.80      (![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)))))))))),
% 19.57/19.80      inference(rewrite,[status(thm)],[])).
% 19.57/19.80  tff(504,plain,
% 19.57/19.80      (^[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)))))))))))),
% 19.57/19.80      inference(bind,[status(th)],[])).
% 19.57/19.80  tff(505,plain,
% 19.57/19.80      (![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)))))))))),
% 19.64/19.80      inference(quant_intro,[status(thm)],[504])).
% 19.64/19.80  tff(506,axiom,(![A: $i] : ((v2_cat_1(A) & l1_cat_1(A)) => ![B: $i] : ((v2_cat_1(B) & l1_cat_1(B)) => ![C: $i] : ((v2_cat_1(C) & l1_cat_1(C)) => ![D: $i] : (m2_cat_1(D, A, k11_cat_2(B, C)) => ![E: $i] : (m2_cat_1(E, A, k11_cat_2(B, C)) => ![F: $i] : (m2_nattra_1(F, A, k11_cat_2(B, C), D, E) => (k14_isocat_2(A, B, C, D, E, F) = k6_isocat_1(A, k11_cat_2(B, C), C, D, E, F, k9_isocat_2(B, C)))))))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','d10_isocat_2')).
% 19.64/19.80  tff(507,plain,
% 19.64/19.80      (![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)))))))))),
% 19.64/19.80      inference(modus_ponens,[status(thm)],[506, 505])).
% 19.64/19.80  tff(508,plain,
% 19.64/19.80      (![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)))))))))),
% 19.64/19.80      inference(modus_ponens,[status(thm)],[507, 503])).
% 19.64/19.80  tff(509,plain,(
% 19.64/19.80      ![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)))))))))),
% 19.64/19.80      inference(skolemize,[status(sab)],[508])).
% 19.64/19.80  tff(510,plain,
% 19.64/19.80      (![A: $i] : ((~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)))))),
% 19.64/19.80      inference(modus_ponens,[status(thm)],[509, 502])).
% 19.64/19.80  tff(511,plain,
% 19.64/19.80      (![A: $i] : ((~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)))))),
% 19.64/19.80      inference(modus_ponens,[status(thm)],[510, 500])).
% 19.64/19.80  tff(512,plain,
% 19.64/19.80      (![A: $i] : ((~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)))))))))),
% 19.64/19.80      inference(modus_ponens,[status(thm)],[511, 495])).
% 19.64/19.80  tff(513,plain,
% 19.64/19.80      (((~![A: $i] : ((~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)))))))))),
% 19.64/19.80      inference(rewrite,[status(thm)],[])).
% 19.64/19.80  tff(514,plain,
% 19.64/19.80      ((~![A: $i] : ((~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)))))))))),
% 19.64/19.80      inference(quant_inst,[status(thm)],[])).
% 19.64/19.80  tff(515,plain,
% 19.64/19.80      ((~![A: $i] : ((~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))))))))),
% 19.64/19.80      inference(modus_ponens,[status(thm)],[514, 513])).
% 19.64/19.80  tff(516,plain,
% 19.64/19.80      (![B: $i] : ((~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))))))))),
% 19.64/19.80      inference(unit_resolution,[status(thm)],[515, 63, 62, 512])).
% 19.64/19.80  tff(517,plain,
% 19.64/19.80      (((~![B: $i] : ((~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))))))))),
% 19.64/19.80      inference(rewrite,[status(thm)],[])).
% 19.64/19.80  tff(518,plain,
% 19.64/19.80      ((~![B: $i] : ((~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))))))))),
% 19.64/19.80      inference(quant_inst,[status(thm)],[])).
% 19.64/19.80  tff(519,plain,
% 19.64/19.80      ((~![B: $i] : ((~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)))))))),
% 19.64/19.80      inference(modus_ponens,[status(thm)],[518, 517])).
% 19.64/19.80  tff(520,plain,
% 19.64/19.80      (![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)))))))),
% 19.64/19.80      inference(unit_resolution,[status(thm)],[519, 32, 31, 516])).
% 19.64/19.80  tff(521,plain,
% 19.64/19.80      (((~![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)))))))),
% 19.64/19.80      inference(rewrite,[status(thm)],[])).
% 19.64/19.80  tff(522,plain,
% 19.64/19.80      ((~![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)))))))),
% 19.64/19.80      inference(quant_inst,[status(thm)],[])).
% 19.64/19.80  tff(523,plain,
% 19.64/19.80      ((~![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))))))),
% 19.64/19.80      inference(modus_ponens,[status(thm)],[522, 521])).
% 19.64/19.80  tff(524,plain,
% 19.64/19.80      (![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))))))),
% 19.64/19.80      inference(unit_resolution,[status(thm)],[523, 30, 29, 520])).
% 19.64/19.80  tff(525,plain,
% 19.64/19.80      (((~![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))))))),
% 19.64/19.80      inference(rewrite,[status(thm)],[])).
% 19.64/19.80  tff(526,plain,
% 19.64/19.80      ((~![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))))))),
% 19.64/19.80      inference(quant_inst,[status(thm)],[])).
% 19.64/19.80  tff(527,plain,
% 19.64/19.80      ((~![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)))))),
% 19.64/19.81      inference(modus_ponens,[status(thm)],[526, 525])).
% 19.64/19.81  tff(528,plain,
% 19.64/19.81      (![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)))))),
% 19.64/19.81      inference(unit_resolution,[status(thm)],[527, 61, 524])).
% 19.64/19.81  tff(529,plain,
% 19.64/19.81      (((~![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)))))),
% 19.64/19.81      inference(rewrite,[status(thm)],[])).
% 19.64/19.81  tff(530,plain,
% 19.64/19.81      ((~![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)))))),
% 19.64/19.81      inference(quant_inst,[status(thm)],[])).
% 19.64/19.81  tff(531,plain,
% 19.64/19.81      ((~![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))))),
% 19.64/19.81      inference(modus_ponens,[status(thm)],[530, 529])).
% 19.64/19.81  tff(532,plain,
% 19.64/19.81      (![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))))),
% 19.64/19.81      inference(unit_resolution,[status(thm)],[531, 61, 528])).
% 19.64/19.81  tff(533,plain,
% 19.64/19.81      (((~![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))))),
% 19.64/19.81      inference(rewrite,[status(thm)],[])).
% 19.64/19.81  tff(534,plain,
% 19.64/19.81      ((~![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))))),
% 19.64/19.81      inference(quant_inst,[status(thm)],[])).
% 19.64/19.81  tff(535,plain,
% 19.64/19.81      ((~![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)))),
% 19.64/19.81      inference(modus_ponens,[status(thm)],[534, 533])).
% 19.64/19.81  tff(536,plain,
% 19.64/19.81      (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))),
% 19.64/19.81      inference(unit_resolution,[status(thm)],[535, 136, 532])).
% 19.64/19.81  tff(537,plain,
% 19.64/19.81      (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))),
% 19.64/19.81      inference(symmetry,[status(thm)],[536])).
% 19.64/19.81  tff(538,plain,
% 19.64/19.81      (^[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))))),
% 19.64/19.81      inference(bind,[status(th)],[])).
% 19.64/19.81  tff(539,plain,
% 19.64/19.81      (![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)))),
% 19.64/19.81      inference(quant_intro,[status(thm)],[538])).
% 19.64/19.81  tff(540,plain,
% 19.64/19.81      (^[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)))))),
% 19.64/19.81      inference(bind,[status(th)],[])).
% 19.64/19.81  tff(541,plain,
% 19.64/19.81      (![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)))),
% 19.64/19.81      inference(quant_intro,[status(thm)],[540])).
% 19.64/19.81  tff(542,plain,
% 19.64/19.81      (![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)))),
% 19.64/19.81      inference(rewrite,[status(thm)],[])).
% 19.64/19.81  tff(543,plain,
% 19.64/19.81      (^[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)))))),
% 19.64/19.81      inference(bind,[status(th)],[])).
% 19.64/19.81  tff(544,plain,
% 19.64/19.81      (![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)))),
% 19.64/19.81      inference(quant_intro,[status(thm)],[543])).
% 19.64/19.81  tff(545,axiom,(![A: $i, B: $i] : ((((v2_cat_1(A) & l1_cat_1(A)) & v2_cat_1(B)) & l1_cat_1(B)) => (k9_isocat_2(A, B) = k17_cat_2(A, B)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','redefinition_k9_isocat_2')).
% 19.64/19.81  tff(546,plain,
% 19.64/19.81      (![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)))),
% 19.64/19.81      inference(modus_ponens,[status(thm)],[545, 544])).
% 19.64/19.81  tff(547,plain,
% 19.64/19.81      (![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)))),
% 19.64/19.81      inference(modus_ponens,[status(thm)],[546, 542])).
% 19.64/19.81  tff(548,plain,(
% 19.64/19.81      ![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)))),
% 19.64/19.81      inference(skolemize,[status(sab)],[547])).
% 19.64/19.81  tff(549,plain,
% 19.64/19.81      (![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)))),
% 19.64/19.81      inference(modus_ponens,[status(thm)],[548, 541])).
% 19.64/19.81  tff(550,plain,
% 19.64/19.81      (![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)))),
% 19.64/19.81      inference(modus_ponens,[status(thm)],[549, 539])).
% 19.64/19.81  tff(551,plain,
% 19.64/19.81      (((~![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)))),
% 19.64/19.81      inference(rewrite,[status(thm)],[])).
% 19.64/19.81  tff(552,plain,
% 19.64/19.81      (((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)))),
% 19.64/19.81      inference(rewrite,[status(thm)],[])).
% 19.64/19.81  tff(553,plain,
% 19.64/19.81      (((~![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))))),
% 19.64/19.81      inference(monotonicity,[status(thm)],[552])).
% 19.64/19.81  tff(554,plain,
% 19.64/19.81      (((~![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)))),
% 19.64/19.81      inference(transitivity,[status(thm)],[553, 551])).
% 19.64/19.81  tff(555,plain,
% 19.64/19.81      ((~![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)))),
% 19.64/19.81      inference(quant_inst,[status(thm)],[])).
% 19.64/19.81  tff(556,plain,
% 19.64/19.81      ((~![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))),
% 19.64/19.81      inference(modus_ponens,[status(thm)],[555, 554])).
% 19.64/19.81  tff(557,plain,
% 19.64/19.81      (k9_isocat_2(B!1, C!2) = k17_cat_2(B!1, C!2)),
% 19.64/19.81      inference(unit_resolution,[status(thm)],[556, 32, 31, 30, 29, 550])).
% 19.64/19.81  tff(558,plain,
% 19.64/19.81      (k17_cat_2(B!1, C!2) = k9_isocat_2(B!1, C!2)),
% 19.64/19.81      inference(symmetry,[status(thm)],[557])).
% 19.64/19.81  tff(559,plain,
% 19.64/19.81      (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))),
% 19.64/19.81      inference(monotonicity,[status(thm)],[71, 558])).
% 19.64/19.81  tff(560,plain,
% 19.64/19.81      (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))),
% 19.64/19.81      inference(transitivity,[status(thm)],[559, 537, 493])).
% 19.64/19.81  tff(561,plain,
% 19.64/19.81      (^[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))))),
% 19.64/19.81      inference(bind,[status(th)],[])).
% 19.64/19.81  tff(562,plain,
% 19.64/19.81      (![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)))),
% 19.64/19.81      inference(quant_intro,[status(thm)],[561])).
% 19.64/19.81  tff(563,plain,
% 19.64/19.81      (^[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)))))),
% 19.64/19.81      inference(bind,[status(th)],[])).
% 19.64/19.81  tff(564,plain,
% 19.64/19.81      (![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)))),
% 19.64/19.81      inference(quant_intro,[status(thm)],[563])).
% 19.64/19.81  tff(565,plain,
% 19.64/19.81      (![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))),
% 19.64/19.81      inference(rewrite,[status(thm)],[])).
% 19.64/19.81  tff(566,plain,
% 19.64/19.81      (^[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))))),
% 19.64/19.81      inference(bind,[status(th)],[])).
% 19.64/19.81  tff(567,plain,
% 19.64/19.81      (![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))),
% 19.64/19.81      inference(quant_intro,[status(thm)],[566])).
% 19.64/19.81  tff(568,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/sandbox2/benchmark/theBenchmark.p','dt_k12_isocat_2')).
% 19.64/19.81  tff(569,plain,
% 19.64/19.81      (![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))),
% 19.64/19.81      inference(modus_ponens,[status(thm)],[568, 567])).
% 19.64/19.81  tff(570,plain,
% 19.64/19.81      (![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))),
% 19.64/19.81      inference(modus_ponens,[status(thm)],[569, 565])).
% 19.64/19.81  tff(571,plain,(
% 19.64/19.81      ![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))),
% 19.64/19.81      inference(skolemize,[status(sab)],[570])).
% 19.64/19.81  tff(572,plain,
% 19.64/19.81      (![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)))),
% 19.64/19.81      inference(modus_ponens,[status(thm)],[571, 564])).
% 19.64/19.81  tff(573,plain,
% 19.64/19.81      (![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)))),
% 19.64/19.81      inference(modus_ponens,[status(thm)],[572, 562])).
% 19.64/19.81  tff(574,plain,
% 19.64/19.81      (((~![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))),
% 19.64/19.81      inference(rewrite,[status(thm)],[])).
% 19.64/19.81  tff(575,plain,
% 19.64/19.81      ((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))),
% 19.64/19.81      inference(rewrite,[status(thm)],[])).
% 19.64/19.81  tff(576,plain,
% 19.64/19.81      (((~![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)))),
% 19.64/19.81      inference(monotonicity,[status(thm)],[575])).
% 19.64/19.81  tff(577,plain,
% 19.64/19.81      (((~![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))),
% 19.64/19.81      inference(transitivity,[status(thm)],[576, 574])).
% 19.64/19.81  tff(578,plain,
% 19.64/19.81      ((~![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)))),
% 19.64/19.82      inference(quant_inst,[status(thm)],[])).
% 19.64/19.82  tff(579,plain,
% 19.64/19.82      ((~![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)),
% 19.64/19.82      inference(modus_ponens,[status(thm)],[578, 577])).
% 19.64/19.82  tff(580,plain,
% 19.64/19.82      (m2_cat_1(k12_isocat_2(A!0, B!1, C!2, D!3), A!0, C!2)),
% 19.64/19.82      inference(unit_resolution,[status(thm)],[579, 63, 62, 32, 31, 30, 29, 61, 573])).
% 19.64/19.82  tff(581,plain,
% 19.64/19.82      (((~![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))))),
% 19.64/19.82      inference(rewrite,[status(thm)],[])).
% 19.64/19.82  tff(582,plain,
% 19.64/19.82      (((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))))),
% 19.64/19.82      inference(rewrite,[status(thm)],[])).
% 19.64/19.82  tff(583,plain,
% 19.64/19.82      (((~![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)))))),
% 19.64/19.82      inference(monotonicity,[status(thm)],[582])).
% 19.64/19.82  tff(584,plain,
% 19.64/19.82      (((~![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))))),
% 19.64/19.82      inference(transitivity,[status(thm)],[583, 581])).
% 19.64/19.82  tff(585,plain,
% 19.64/19.82      ((~![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)))),
% 19.64/19.82      inference(quant_inst,[status(thm)],[])).
% 19.64/19.82  tff(586,plain,
% 19.64/19.82      ((~![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)))),
% 19.64/19.82      inference(modus_ponens,[status(thm)],[585, 584])).
% 19.64/19.82  tff(587,plain,
% 19.64/19.82      (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))),
% 19.64/19.82      inference(unit_resolution,[status(thm)],[586, 63, 62, 30, 29, 59, 580])).
% 19.64/19.82  tff(588,plain,
% 19.64/19.82      (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))),
% 19.64/19.82      inference(symmetry,[status(thm)],[587])).
% 19.64/19.82  tff(589,plain,
% 19.64/19.82      (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))) <=> 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)))),
% 19.64/19.82      inference(monotonicity,[status(thm)],[588, 560])).
% 19.64/19.82  tff(590,plain,
% 19.64/19.82      (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)))),
% 19.64/19.82      inference(monotonicity,[status(thm)],[560])).
% 19.64/19.82  tff(591,plain,
% 19.64/19.82      (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)))),
% 19.64/19.82      inference(symmetry,[status(thm)],[590])).
% 19.64/19.82  tff(592,plain,
% 19.64/19.82      (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))),
% 19.64/19.82      inference(symmetry,[status(thm)],[493])).
% 19.64/19.82  tff(593,plain,
% 19.64/19.82      (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))),
% 19.64/19.82      inference(monotonicity,[status(thm)],[592])).
% 19.64/19.82  tff(594,plain,
% 19.64/19.82      (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))),
% 19.64/19.82      inference(symmetry,[status(thm)],[593])).
% 19.64/19.82  tff(595,plain,
% 19.64/19.82      (^[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)))))),
% 19.64/19.82      inference(bind,[status(th)],[])).
% 19.64/19.82  tff(596,plain,
% 19.64/19.82      (![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))))),
% 19.64/19.82      inference(quant_intro,[status(thm)],[595])).
% 19.64/19.82  tff(597,plain,
% 19.64/19.82      (^[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))))))),
% 19.64/19.82      inference(bind,[status(th)],[])).
% 19.64/19.82  tff(598,plain,
% 19.64/19.82      (![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))))),
% 19.64/19.82      inference(quant_intro,[status(thm)],[597])).
% 19.64/19.82  tff(599,plain,
% 19.64/19.82      (![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)))),
% 19.64/19.82      inference(rewrite,[status(thm)],[])).
% 19.64/19.82  tff(600,plain,
% 19.64/19.82      (^[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)))))),
% 19.64/19.82      inference(bind,[status(th)],[])).
% 19.64/19.82  tff(601,plain,
% 19.64/19.82      (![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)))),
% 19.64/19.82      inference(quant_intro,[status(thm)],[600])).
% 19.64/19.82  tff(602,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/sandbox2/benchmark/theBenchmark.p','dt_k14_isocat_2')).
% 19.64/19.82  tff(603,plain,
% 19.64/19.82      (![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)))),
% 19.64/19.82      inference(modus_ponens,[status(thm)],[602, 601])).
% 19.64/19.82  tff(604,plain,
% 19.64/19.82      (![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)))),
% 19.64/19.82      inference(modus_ponens,[status(thm)],[603, 599])).
% 19.64/19.82  tff(605,plain,(
% 19.64/19.82      ![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)))),
% 19.64/19.82      inference(skolemize,[status(sab)],[604])).
% 19.64/19.82  tff(606,plain,
% 19.64/19.82      (![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))))),
% 19.64/19.82      inference(modus_ponens,[status(thm)],[605, 598])).
% 19.64/19.82  tff(607,plain,
% 19.64/19.82      (![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))))),
% 19.64/19.82      inference(modus_ponens,[status(thm)],[606, 596])).
% 19.64/19.82  tff(608,plain,
% 19.64/19.82      (((~![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)))),
% 19.64/19.82      inference(rewrite,[status(thm)],[])).
% 19.64/19.82  tff(609,plain,
% 19.64/19.82      ((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)))),
% 19.64/19.82      inference(rewrite,[status(thm)],[])).
% 19.64/19.82  tff(610,plain,
% 19.64/19.82      (((~![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))))),
% 19.64/19.82      inference(monotonicity,[status(thm)],[609])).
% 19.64/19.82  tff(611,plain,
% 19.64/19.82      (((~![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)))),
% 19.64/19.82      inference(transitivity,[status(thm)],[610, 608])).
% 19.64/19.82  tff(612,plain,
% 19.64/19.82      ((~![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))))),
% 19.64/19.82      inference(quant_inst,[status(thm)],[])).
% 19.64/19.82  tff(613,plain,
% 19.64/19.82      ((~![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))),
% 19.64/19.82      inference(modus_ponens,[status(thm)],[612, 611])).
% 19.64/19.82  tff(614,plain,
% 19.64/19.82      ((~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))),
% 19.64/19.83      inference(unit_resolution,[status(thm)],[613, 63, 62, 32, 31, 30, 29, 61, 607])).
% 19.64/19.83  tff(615,plain,
% 19.64/19.83      (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))),
% 19.64/19.83      inference(unit_resolution,[status(thm)],[614, 136])).
% 19.64/19.83  tff(616,plain,
% 19.64/19.83      (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))),
% 19.64/19.83      inference(modus_ponens,[status(thm)],[615, 594])).
% 19.64/19.83  tff(617,plain,
% 19.64/19.83      (((~![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))))),
% 19.64/19.83      inference(rewrite,[status(thm)],[])).
% 19.64/19.83  tff(618,plain,
% 19.64/19.83      (((~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))))),
% 19.64/19.83      inference(rewrite,[status(thm)],[])).
% 19.64/19.83  tff(619,plain,
% 19.64/19.83      (((~![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)))))),
% 19.64/19.83      inference(monotonicity,[status(thm)],[618])).
% 19.64/19.83  tff(620,plain,
% 19.64/19.83      (((~![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))))),
% 19.64/19.83      inference(transitivity,[status(thm)],[619, 617])).
% 19.64/19.83  tff(621,plain,
% 19.64/19.83      ((~![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))))),
% 19.64/19.83      inference(quant_inst,[status(thm)],[])).
% 19.64/19.83  tff(622,plain,
% 19.64/19.83      ((~![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)))),
% 19.64/19.83      inference(modus_ponens,[status(thm)],[621, 620])).
% 19.64/19.83  tff(623,plain,
% 19.64/19.83      (![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)))),
% 19.64/19.83      inference(unit_resolution,[status(thm)],[622, 63, 62, 30, 29, 239, 580])).
% 19.64/19.83  tff(624,plain,
% 19.64/19.83      (((~![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)))),
% 19.64/19.83      inference(rewrite,[status(thm)],[])).
% 19.64/19.83  tff(625,plain,
% 19.64/19.83      ((~![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)))),
% 19.64/19.83      inference(quant_inst,[status(thm)],[])).
% 19.64/19.83  tff(626,plain,
% 19.64/19.83      ((~![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))),
% 19.64/19.83      inference(modus_ponens,[status(thm)],[625, 624])).
% 19.64/19.83  tff(627,plain,
% 19.64/19.83      ((~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))),
% 19.64/19.83      inference(unit_resolution,[status(thm)],[626, 623])).
% 19.64/19.83  tff(628,plain,
% 19.64/19.83      (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))),
% 19.64/19.83      inference(unit_resolution,[status(thm)],[627, 616])).
% 19.64/19.83  tff(629,plain,
% 19.64/19.83      (((~![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)))))))),
% 19.64/19.83      inference(rewrite,[status(thm)],[])).
% 19.64/19.83  tff(630,plain,
% 19.64/19.83      (((~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)))))))),
% 19.64/19.83      inference(rewrite,[status(thm)],[])).
% 19.64/19.83  tff(631,plain,
% 19.64/19.83      (((~![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))))))))),
% 19.64/19.83      inference(monotonicity,[status(thm)],[630])).
% 19.64/19.83  tff(632,plain,
% 19.64/19.83      (((~![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)))))))),
% 19.64/19.83      inference(transitivity,[status(thm)],[631, 629])).
% 19.64/19.83  tff(633,plain,
% 19.64/19.83      ((~![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)))))))),
% 19.64/19.83      inference(quant_inst,[status(thm)],[])).
% 19.64/19.83  tff(634,plain,
% 19.64/19.83      ((~![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))))))),
% 19.64/19.83      inference(modus_ponens,[status(thm)],[633, 632])).
% 19.64/19.83  tff(635,plain,
% 19.64/19.83      (![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))))))),
% 19.64/19.83      inference(unit_resolution,[status(thm)],[634, 63, 62, 30, 29, 267, 580])).
% 19.64/19.83  tff(636,plain,
% 19.64/19.83      (((~![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))))))),
% 19.64/19.83      inference(rewrite,[status(thm)],[])).
% 19.64/19.83  tff(637,plain,
% 19.64/19.83      ((~![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))))))),
% 19.64/19.83      inference(quant_inst,[status(thm)],[])).
% 19.64/19.83  tff(638,plain,
% 19.64/19.83      ((~![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)))))),
% 19.64/19.84      inference(modus_ponens,[status(thm)],[637, 636])).
% 19.64/19.84  tff(639,plain,
% 19.64/19.84      (~((~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))))),
% 19.64/19.84      inference(unit_resolution,[status(thm)],[638, 635, 628])).
% 19.64/19.84  tff(640,plain,
% 19.64/19.84      (((~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)))),
% 19.64/19.84      inference(tautology,[status(thm)],[])).
% 19.64/19.84  tff(641,plain,
% 19.64/19.84      (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)))),
% 19.64/19.84      inference(unit_resolution,[status(thm)],[640, 639])).
% 19.64/19.84  tff(642,plain,
% 19.64/19.84      (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)))),
% 19.64/19.84      inference(modus_ponens,[status(thm)],[641, 591])).
% 19.64/19.84  tff(643,plain,
% 19.64/19.84      (^[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))))))))),
% 19.64/19.84      inference(bind,[status(th)],[])).
% 19.64/19.84  tff(644,plain,
% 19.64/19.84      (![A: $i] : ((~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)))))))),
% 19.64/19.84      inference(quant_intro,[status(thm)],[643])).
% 19.64/19.84  tff(645,plain,
% 19.64/19.84      (^[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))))))),
% 19.64/19.84      inference(bind,[status(th)],[])).
% 19.64/19.84  tff(646,plain,
% 19.64/19.84      (![A: $i] : ((~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)))))),
% 19.64/19.84      inference(quant_intro,[status(thm)],[645])).
% 19.64/19.84  tff(647,plain,
% 19.64/19.84      (^[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))))))),
% 19.64/19.84      inference(bind,[status(th)],[])).
% 19.64/19.84  tff(648,plain,
% 19.64/19.84      (![A: $i] : ((~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)))))),
% 19.64/19.84      inference(quant_intro,[status(thm)],[647])).
% 19.64/19.84  tff(649,plain,
% 19.64/19.84      (![A: $i] : ((~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)))))),
% 19.64/19.84      inference(transitivity,[status(thm)],[648, 646])).
% 19.64/19.84  tff(650,plain,
% 19.64/19.84      (^[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)))))))),
% 19.64/19.84      inference(bind,[status(th)],[])).
% 19.64/19.84  tff(651,plain,
% 19.64/19.84      (![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)))))),
% 19.64/19.84      inference(quant_intro,[status(thm)],[650])).
% 19.64/19.84  tff(652,plain,
% 19.64/19.84      (![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)))))))),
% 19.64/19.84      inference(rewrite,[status(thm)],[])).
% 19.64/19.84  tff(653,plain,
% 19.64/19.84      (^[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)))))))))),
% 19.64/19.84      inference(bind,[status(th)],[])).
% 19.64/19.84  tff(654,plain,
% 19.64/19.84      (![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)))))))),
% 19.64/19.84      inference(quant_intro,[status(thm)],[653])).
% 19.64/19.84  tff(655,axiom,(![A: $i] : ((v2_cat_1(A) & l1_cat_1(A)) => ![B: $i] : ((v2_cat_1(B) & l1_cat_1(B)) => ![C: $i] : ((v2_cat_1(C) & l1_cat_1(C)) => ![D: $i] : (m2_cat_1(D, A, k11_cat_2(B, C)) => (k12_isocat_2(A, B, C, D) = k2_isocat_1(A, k11_cat_2(B, C), C, D, k9_isocat_2(B, C)))))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','d8_isocat_2')).
% 19.64/19.84  tff(656,plain,
% 19.64/19.84      (![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)))))))),
% 19.64/19.84      inference(modus_ponens,[status(thm)],[655, 654])).
% 19.64/19.84  tff(657,plain,
% 19.64/19.84      (![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)))))))),
% 19.64/19.84      inference(modus_ponens,[status(thm)],[656, 652])).
% 19.64/19.84  tff(658,plain,(
% 19.64/19.84      ![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)))))))),
% 19.64/19.84      inference(skolemize,[status(sab)],[657])).
% 19.64/19.84  tff(659,plain,
% 19.64/19.84      (![A: $i] : ((~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)))))),
% 19.64/19.84      inference(modus_ponens,[status(thm)],[658, 651])).
% 19.64/19.84  tff(660,plain,
% 19.64/19.84      (![A: $i] : ((~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)))))),
% 19.64/19.84      inference(modus_ponens,[status(thm)],[659, 649])).
% 19.64/19.84  tff(661,plain,
% 19.64/19.84      (![A: $i] : ((~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)))))))),
% 19.64/19.84      inference(modus_ponens,[status(thm)],[660, 644])).
% 19.64/19.84  tff(662,plain,
% 19.64/19.84      (((~![A: $i] : ((~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)))))))),
% 19.64/19.84      inference(rewrite,[status(thm)],[])).
% 19.64/19.84  tff(663,plain,
% 19.64/19.84      ((~![A: $i] : ((~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)))))))),
% 19.64/19.84      inference(quant_inst,[status(thm)],[])).
% 19.64/19.84  tff(664,plain,
% 19.64/19.84      ((~![A: $i] : ((~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))))))),
% 19.64/19.84      inference(modus_ponens,[status(thm)],[663, 662])).
% 19.64/19.84  tff(665,plain,
% 19.64/19.84      (![B: $i] : ((~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))))))),
% 19.64/19.84      inference(unit_resolution,[status(thm)],[664, 63, 62, 661])).
% 19.64/19.84  tff(666,plain,
% 19.64/19.84      (((~![B: $i] : ((~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))))))),
% 19.64/19.84      inference(rewrite,[status(thm)],[])).
% 19.64/19.84  tff(667,plain,
% 19.64/19.84      ((~![B: $i] : ((~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))))))),
% 19.64/19.84      inference(quant_inst,[status(thm)],[])).
% 19.64/19.84  tff(668,plain,
% 19.64/19.84      ((~![B: $i] : ((~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)))))),
% 19.64/19.84      inference(modus_ponens,[status(thm)],[667, 666])).
% 19.64/19.84  tff(669,plain,
% 19.64/19.84      (![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)))))),
% 19.64/19.84      inference(unit_resolution,[status(thm)],[668, 32, 31, 665])).
% 19.64/19.84  tff(670,plain,
% 19.64/19.84      (((~![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)))))),
% 19.64/19.84      inference(rewrite,[status(thm)],[])).
% 19.64/19.84  tff(671,plain,
% 19.64/19.84      ((~![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)))))),
% 19.64/19.84      inference(quant_inst,[status(thm)],[])).
% 19.64/19.84  tff(672,plain,
% 19.64/19.84      ((~![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))))),
% 19.64/19.84      inference(modus_ponens,[status(thm)],[671, 670])).
% 19.64/19.84  tff(673,plain,
% 19.64/19.84      (![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))))),
% 19.64/19.84      inference(unit_resolution,[status(thm)],[672, 30, 29, 669])).
% 19.64/19.84  tff(674,plain,
% 19.64/19.84      (((~![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))))),
% 19.64/19.84      inference(rewrite,[status(thm)],[])).
% 19.64/19.84  tff(675,plain,
% 19.64/19.84      ((~![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))))),
% 19.64/19.84      inference(quant_inst,[status(thm)],[])).
% 19.64/19.84  tff(676,plain,
% 19.64/19.84      ((~![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)))),
% 19.64/19.84      inference(modus_ponens,[status(thm)],[675, 674])).
% 19.64/19.84  tff(677,plain,
% 19.64/19.84      (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))),
% 19.64/19.84      inference(unit_resolution,[status(thm)],[676, 61, 673])).
% 19.64/19.84  tff(678,plain,
% 19.64/19.84      (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)),
% 19.64/19.84      inference(symmetry,[status(thm)],[677])).
% 19.64/19.84  tff(679,plain,
% 19.64/19.84      (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))),
% 19.64/19.84      inference(monotonicity,[status(thm)],[558])).
% 19.64/19.84  tff(680,plain,
% 19.64/19.84      (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)),
% 19.64/19.84      inference(transitivity,[status(thm)],[679, 678])).
% 19.64/19.84  tff(681,plain,
% 19.64/19.84      (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))),
% 19.64/19.84      inference(monotonicity,[status(thm)],[680])).
% 19.64/19.84  tff(682,plain,
% 19.64/19.84      (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)))),
% 19.64/19.84      inference(symmetry,[status(thm)],[681])).
% 19.64/19.84  tff(683,plain,
% 19.64/19.84      (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)))),
% 19.64/19.84      inference(transitivity,[status(thm)],[588, 682])).
% 19.64/19.84  tff(684,plain,
% 19.64/19.84      (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))))),
% 19.64/19.84      inference(monotonicity,[status(thm)],[683])).
% 19.64/19.84  tff(685,plain,
% 19.64/19.84      (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)))),
% 19.64/19.85      inference(symmetry,[status(thm)],[684])).
% 19.64/19.85  tff(686,plain,
% 19.64/19.85      (((~![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))))))),
% 19.64/19.85      inference(rewrite,[status(thm)],[])).
% 19.64/19.85  tff(687,plain,
% 19.64/19.85      ((~![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))))))),
% 19.64/19.85      inference(quant_inst,[status(thm)],[])).
% 19.64/19.85  tff(688,plain,
% 19.64/19.85      ((~![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)))))),
% 19.64/19.85      inference(modus_ponens,[status(thm)],[687, 686])).
% 19.64/19.85  tff(689,plain,
% 19.64/19.85      (![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)))))),
% 19.64/19.85      inference(unit_resolution,[status(thm)],[688, 30, 29, 351])).
% 19.64/19.85  tff(690,plain,
% 19.64/19.85      (((~![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)))))),
% 19.64/19.85      inference(rewrite,[status(thm)],[])).
% 19.64/19.85  tff(691,plain,
% 19.64/19.85      ((~![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)))))),
% 19.64/19.85      inference(quant_inst,[status(thm)],[])).
% 19.64/19.85  tff(692,plain,
% 19.64/19.85      ((~![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))))),
% 19.64/19.85      inference(modus_ponens,[status(thm)],[691, 690])).
% 19.64/19.85  tff(693,plain,
% 19.64/19.85      (![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))))),
% 19.64/19.85      inference(unit_resolution,[status(thm)],[692, 61, 689])).
% 19.64/19.85  tff(694,plain,
% 19.64/19.85      (^[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))))),
% 19.64/19.85      inference(bind,[status(th)],[])).
% 19.64/19.85  tff(695,plain,
% 19.64/19.85      (![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)))),
% 19.64/19.85      inference(quant_intro,[status(thm)],[694])).
% 19.64/19.85  tff(696,plain,
% 19.64/19.85      (^[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)))))),
% 19.64/19.85      inference(bind,[status(th)],[])).
% 19.64/19.85  tff(697,plain,
% 19.64/19.85      (![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)))),
% 19.64/19.85      inference(quant_intro,[status(thm)],[696])).
% 19.64/19.85  tff(698,plain,
% 19.64/19.85      (![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))),
% 19.64/19.85      inference(rewrite,[status(thm)],[])).
% 19.64/19.85  tff(699,plain,
% 19.64/19.85      (^[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))))),
% 19.64/19.85      inference(bind,[status(th)],[])).
% 19.64/19.85  tff(700,plain,
% 19.64/19.85      (![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))),
% 19.64/19.85      inference(quant_intro,[status(thm)],[699])).
% 19.64/19.85  tff(701,axiom,(![A: $i, B: $i] : ((((v2_cat_1(A) & l1_cat_1(A)) & v2_cat_1(B)) & l1_cat_1(B)) => m2_cat_1(k17_cat_2(A, B), k11_cat_2(A, B), B))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','dt_k17_cat_2')).
% 19.64/19.85  tff(702,plain,
% 19.64/19.85      (![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))),
% 19.64/19.85      inference(modus_ponens,[status(thm)],[701, 700])).
% 19.64/19.85  tff(703,plain,
% 19.64/19.85      (![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))),
% 19.64/19.85      inference(modus_ponens,[status(thm)],[702, 698])).
% 19.64/19.85  tff(704,plain,(
% 19.64/19.85      ![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))),
% 19.64/19.85      inference(skolemize,[status(sab)],[703])).
% 19.64/19.85  tff(705,plain,
% 19.64/19.85      (![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)))),
% 19.64/19.85      inference(modus_ponens,[status(thm)],[704, 697])).
% 19.64/19.85  tff(706,plain,
% 19.64/19.85      (![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)))),
% 19.64/19.85      inference(modus_ponens,[status(thm)],[705, 695])).
% 19.64/19.85  tff(707,plain,
% 19.64/19.85      (((~![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))),
% 19.64/19.85      inference(rewrite,[status(thm)],[])).
% 19.64/19.85  tff(708,plain,
% 19.64/19.85      ((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))),
% 19.64/19.85      inference(rewrite,[status(thm)],[])).
% 19.64/19.85  tff(709,plain,
% 19.64/19.85      (((~![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)))),
% 19.64/19.85      inference(monotonicity,[status(thm)],[708])).
% 19.64/19.85  tff(710,plain,
% 19.64/19.85      (((~![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))),
% 19.64/19.85      inference(transitivity,[status(thm)],[709, 707])).
% 19.64/19.85  tff(711,plain,
% 19.64/19.85      ((~![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)))),
% 19.64/19.85      inference(quant_inst,[status(thm)],[])).
% 19.64/19.85  tff(712,plain,
% 19.64/19.85      ((~![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)),
% 19.64/19.85      inference(modus_ponens,[status(thm)],[711, 710])).
% 19.64/19.85  tff(713,plain,
% 19.64/19.85      (m2_cat_1(k17_cat_2(B!1, C!2), k11_cat_2(B!1, C!2), C!2)),
% 19.64/19.85      inference(unit_resolution,[status(thm)],[712, 32, 31, 30, 29, 706])).
% 19.64/19.85  tff(714,plain,
% 19.64/19.85      (((~![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)))))),
% 19.64/19.85      inference(rewrite,[status(thm)],[])).
% 19.64/19.85  tff(715,plain,
% 19.64/19.85      ((~![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)))))),
% 19.64/19.85      inference(quant_inst,[status(thm)],[])).
% 19.64/19.85  tff(716,plain,
% 19.64/19.85      ((~![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))))),
% 19.64/19.85      inference(modus_ponens,[status(thm)],[715, 714])).
% 19.64/19.85  tff(717,plain,
% 19.64/19.85      (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))))),
% 19.64/19.85      inference(unit_resolution,[status(thm)],[716, 713, 693])).
% 19.64/19.85  tff(718,plain,
% 19.64/19.85      (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)))),
% 19.64/19.85      inference(modus_ponens,[status(thm)],[717, 685])).
% 19.64/19.85  tff(719,plain,
% 19.64/19.85      (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))),
% 19.64/19.85      inference(monotonicity,[status(thm)],[560])).
% 19.64/19.85  tff(720,plain,
% 19.64/19.85      (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))),
% 19.64/19.85      inference(symmetry,[status(thm)],[719])).
% 19.64/19.85  tff(721,plain,
% 19.64/19.85      (((~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))),
% 19.64/19.85      inference(tautology,[status(thm)],[])).
% 19.64/19.85  tff(722,plain,
% 19.64/19.85      (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))),
% 19.64/19.85      inference(unit_resolution,[status(thm)],[721, 639])).
% 19.64/19.85  tff(723,plain,
% 19.64/19.85      (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))),
% 19.64/19.85      inference(modus_ponens,[status(thm)],[722, 720])).
% 19.64/19.85  tff(724,plain,
% 19.64/19.85      (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))),
% 19.64/19.85      inference(symmetry,[status(thm)],[559])).
% 19.64/19.85  tff(725,plain,
% 19.64/19.85      (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))),
% 19.64/19.85      inference(transitivity,[status(thm)],[592, 536, 724])).
% 19.64/19.85  tff(726,plain,
% 19.64/19.85      (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))),
% 19.64/19.85      inference(monotonicity,[status(thm)],[725])).
% 19.64/19.85  tff(727,plain,
% 19.64/19.85      ((~![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)))),
% 19.64/19.85      inference(quant_inst,[status(thm)],[])).
% 19.64/19.85  tff(728,plain,
% 19.64/19.85      (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))),
% 19.64/19.85      inference(unit_resolution,[status(thm)],[727, 399])).
% 19.64/19.85  tff(729,plain,
% 19.64/19.85      (((~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))),
% 19.64/19.85      inference(tautology,[status(thm)],[])).
% 19.64/19.85  tff(730,plain,
% 19.64/19.85      (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))),
% 19.64/19.85      inference(unit_resolution,[status(thm)],[729, 639])).
% 19.64/19.85  tff(731,plain,
% 19.64/19.85      ((~(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))),
% 19.64/19.85      inference(tautology,[status(thm)],[])).
% 19.64/19.86  tff(732,plain,
% 19.64/19.86      ((~(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))),
% 19.64/19.86      inference(unit_resolution,[status(thm)],[731, 730])).
% 19.64/19.86  tff(733,plain,
% 19.64/19.86      (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))),
% 19.64/19.86      inference(unit_resolution,[status(thm)],[732, 728])).
% 19.64/19.86  tff(734,plain,
% 19.64/19.86      (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))),
% 19.64/19.86      inference(modus_ponens,[status(thm)],[733, 726])).
% 19.64/19.86  tff(735,plain,
% 19.64/19.86      ((~![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)))),
% 19.64/19.86      inference(quant_inst,[status(thm)],[])).
% 19.64/19.86  tff(736,plain,
% 19.64/19.86      (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))),
% 19.64/19.86      inference(unit_resolution,[status(thm)],[735, 399])).
% 19.64/19.86  tff(737,plain,
% 19.64/19.86      (((~![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)))),
% 19.64/19.86      inference(rewrite,[status(thm)],[])).
% 19.64/19.86  tff(738,plain,
% 19.64/19.86      ((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)))),
% 19.64/19.86      inference(rewrite,[status(thm)],[])).
% 19.64/19.86  tff(739,plain,
% 19.64/19.86      (((~![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))))),
% 19.64/19.86      inference(monotonicity,[status(thm)],[738])).
% 19.64/19.86  tff(740,plain,
% 19.64/19.86      (((~![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)))),
% 19.64/19.86      inference(transitivity,[status(thm)],[739, 737])).
% 19.64/19.86  tff(741,plain,
% 19.64/19.86      ((~![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)))),
% 19.64/19.86      inference(quant_inst,[status(thm)],[])).
% 19.64/19.86  tff(742,plain,
% 19.64/19.86      ((~![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))),
% 19.64/19.86      inference(modus_ponens,[status(thm)],[741, 740])).
% 19.64/19.86  tff(743,plain,
% 19.64/19.86      (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))),
% 19.64/19.86      inference(unit_resolution,[status(thm)],[742, 63, 62, 30, 29, 422, 580])).
% 19.64/19.86  tff(744,plain,
% 19.64/19.86      (((~![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))))))),
% 19.64/19.86      inference(rewrite,[status(thm)],[])).
% 19.64/19.86  tff(745,plain,
% 19.64/19.86      ((~![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))))))),
% 19.64/19.86      inference(quant_inst,[status(thm)],[])).
% 19.64/19.86  tff(746,plain,
% 19.64/19.86      ((~![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)))))),
% 19.64/19.86      inference(modus_ponens,[status(thm)],[745, 744])).
% 19.64/19.86  tff(747,plain,
% 19.64/19.86      (~((~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))))),
% 19.64/19.86      inference(unit_resolution,[status(thm)],[746, 743, 635])).
% 19.64/19.86  tff(748,plain,
% 19.64/19.86      (((~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))),
% 19.64/19.86      inference(tautology,[status(thm)],[])).
% 19.64/19.86  tff(749,plain,
% 19.64/19.86      (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))),
% 19.64/19.86      inference(unit_resolution,[status(thm)],[748, 747])).
% 19.64/19.86  tff(750,plain,
% 19.64/19.86      ((~(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))),
% 19.64/19.86      inference(tautology,[status(thm)],[])).
% 19.64/19.86  tff(751,plain,
% 19.64/19.86      ((~(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))),
% 19.64/19.86      inference(unit_resolution,[status(thm)],[750, 749])).
% 19.64/19.86  tff(752,plain,
% 19.64/19.86      (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))),
% 19.64/19.86      inference(unit_resolution,[status(thm)],[751, 736])).
% 19.64/19.86  tff(753,plain,
% 19.64/19.86      (((~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))),
% 19.64/19.86      inference(tautology,[status(thm)],[])).
% 19.64/19.86  tff(754,plain,
% 19.64/19.86      (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))),
% 19.64/19.86      inference(unit_resolution,[status(thm)],[753, 747])).
% 19.64/19.86  tff(755,plain,
% 19.64/19.86      (((~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)))),
% 19.64/19.86      inference(tautology,[status(thm)],[])).
% 19.64/19.86  tff(756,plain,
% 19.64/19.86      (v1_funct_1(k4_nattra_1(A!0, C!2, k12_isocat_2(A!0, B!1, C!2, D!3)))),
% 19.64/19.86      inference(unit_resolution,[status(thm)],[755, 747])).
% 19.64/19.86  tff(757,plain,
% 19.64/19.86      (((~![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))))),
% 19.64/19.86      inference(rewrite,[status(thm)],[])).
% 19.64/19.86  tff(758,plain,
% 19.64/19.86      ((~![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))))),
% 19.64/19.86      inference(quant_inst,[status(thm)],[])).
% 19.64/19.86  tff(759,plain,
% 19.64/19.86      ((~![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)))),
% 19.64/19.86      inference(modus_ponens,[status(thm)],[758, 757])).
% 19.64/19.86  tff(760,plain,
% 19.64/19.86      (~v1_xboole_0(u2_cat_1(C!2))),
% 19.64/19.86      inference(unit_resolution,[status(thm)],[759, 29, 452])).
% 19.64/19.86  tff(761,plain,
% 19.64/19.86      (((~![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))))),
% 19.64/19.87      inference(rewrite,[status(thm)],[])).
% 19.64/19.87  tff(762,plain,
% 19.64/19.87      ((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))))),
% 19.64/19.87      inference(rewrite,[status(thm)],[])).
% 19.64/19.87  tff(763,plain,
% 19.64/19.87      (((~![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)))))),
% 19.64/19.87      inference(monotonicity,[status(thm)],[762])).
% 19.64/19.87  tff(764,plain,
% 19.64/19.87      (((~![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))))),
% 19.64/19.87      inference(transitivity,[status(thm)],[763, 761])).
% 19.64/19.87  tff(765,plain,
% 19.64/19.87      ((~![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))))),
% 19.64/19.87      inference(quant_inst,[status(thm)],[])).
% 19.64/19.87  tff(766,plain,
% 19.64/19.87      ((~![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)))),
% 19.64/19.87      inference(modus_ponens,[status(thm)],[765, 764])).
% 19.64/19.87  tff(767,plain,
% 19.64/19.87      ((~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)))),
% 19.64/19.87      inference(unit_resolution,[status(thm)],[766, 483, 470, 760, 756, 754, 752])).
% 19.64/19.87  tff(768,plain,
% 19.64/19.87      (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)))),
% 19.64/19.87      inference(unit_resolution,[status(thm)],[767, 734, 723, 718, 642])).
% 19.64/19.87  tff(769,plain,
% 19.64/19.87      (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)))),
% 19.64/19.87      inference(modus_ponens,[status(thm)],[768, 589])).
% 19.64/19.87  tff(770,plain,
% 19.64/19.87      ((~(~((~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)))))),
% 19.64/19.87      inference(rewrite,[status(thm)],[])).
% 19.64/19.87  tff(771,plain,
% 19.64/19.87      ((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))))))),
% 19.72/19.90      inference(rewrite,[status(thm)],[])).
% 19.72/19.90  tff(772,plain,
% 19.72/19.90      ((~(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)))))))),
% 19.72/19.90      inference(monotonicity,[status(thm)],[771])).
% 19.72/19.90  tff(773,plain,
% 19.72/19.90      ((~(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)))))),
% 19.72/19.90      inference(transitivity,[status(thm)],[772, 770])).
% 19.72/19.90  tff(774,plain,
% 19.72/19.90      (~(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))))),
% 19.72/19.90      inference(or_elim,[status(thm)],[60])).
% 19.72/19.90  tff(775,plain,
% 19.72/19.90      ((~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))))),
% 19.72/19.90      inference(modus_ponens,[status(thm)],[774, 773])).
% 19.72/19.90  tff(776,plain,
% 19.72/19.90      ($false),
% 19.72/19.90      inference(unit_resolution,[status(thm)],[775, 769, 492])).
% 19.72/19.90  % SZS output end Proof
% 19.72/19.95  % E exiting
%------------------------------------------------------------------------------