TSTP Solution File: CAT032+1 by Z3---4.8.9.0

%------------------------------------------------------------------------------
% File     : Z3---4.8.9.0
% Problem  : CAT032+1 : TPTP v8.1.0. Released v3.4.0.
% Transfm  : none
% Format   : tptp
% Command  : z3_tptp -proof -model -t:%d -file:%s

% Computer : n016.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Tue Sep  6 17:30:00 EDT 2022

% Result   : Theorem 0.63s 0.68s
% Output   : Proof 0.74s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12  % Problem  : CAT032+1 : TPTP v8.1.0. Released v3.4.0.
% 0.11/0.13  % Command  : z3_tptp -proof -model -t:%d -file:%s
% 0.14/0.34  % Computer : n016.cluster.edu
% 0.14/0.34  % Model    : x86_64 x86_64
% 0.14/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34  % Memory   : 8042.1875MB
% 0.14/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34  % CPULimit : 300
% 0.14/0.34  % WCLimit  : 300
% 0.14/0.34  % DateTime : Tue Aug 30 08:08:30 EDT 2022
% 0.14/0.35  % CPUTime  : 
% 0.14/0.35  Z3tptp [4.8.9.0] (c) 2006-20**. Microsoft Corp.
% 0.14/0.35  Usage: tptp [options] [-file:]file
% 0.14/0.35    -h, -?       prints this message.
% 0.14/0.35    -smt2        print SMT-LIB2 benchmark.
% 0.14/0.35    -m, -model   generate model.
% 0.14/0.35    -p, -proof   generate proof.
% 0.14/0.35    -c, -core    generate unsat core of named formulas.
% 0.14/0.35    -st, -statistics display statistics.
% 0.14/0.35    -t:timeout   set timeout (in second).
% 0.14/0.35    -smt2status  display status in smt2 format instead of SZS.
% 0.14/0.35    -check_status check the status produced by Z3 against annotation in benchmark.
% 0.14/0.35    -<param>:<value> configuration parameter and value.
% 0.14/0.35    -o:<output-file> file to place output in.
% 0.63/0.68  % SZS status Theorem
% 0.63/0.68  % SZS output start Proof
% 0.63/0.68  tff(v8_cat_1_type, type, (
% 0.63/0.68     v8_cat_1: ( $i * $i * $i ) > $o)).
% 0.63/0.68  tff(k11_cat_2_type, type, (
% 0.63/0.68     k11_cat_2: ( $i * $i ) > $i)).
% 0.63/0.68  tff(k12_nattra_1_type, type, (
% 0.63/0.68     k12_nattra_1: ( $i * $i ) > $i)).
% 0.63/0.68  tff(tptp_fun_C_2_type, type, (
% 0.63/0.68     tptp_fun_C_2: $i)).
% 0.63/0.68  tff(tptp_fun_A_0_type, type, (
% 0.63/0.68     tptp_fun_A_0: $i)).
% 0.63/0.68  tff(tptp_fun_B_1_type, type, (
% 0.63/0.68     tptp_fun_B_1: $i)).
% 0.63/0.68  tff(m2_cat_1_type, type, (
% 0.63/0.68     m2_cat_1: ( $i * $i * $i ) > $o)).
% 0.63/0.68  tff(r1_isocat_1_type, type, (
% 0.63/0.68     r1_isocat_1: ( $i * $i ) > $o)).
% 0.63/0.68  tff(tptp_fun_C_3_type, type, (
% 0.63/0.68     tptp_fun_C_3: ( $i * $i ) > $i)).
% 0.63/0.68  tff(v2_cat_1_type, type, (
% 0.63/0.68     v2_cat_1: $i > $o)).
% 0.63/0.68  tff(l1_cat_1_type, type, (
% 0.63/0.68     l1_cat_1: $i > $o)).
% 0.63/0.68  tff(v1_cat_1_type, type, (
% 0.63/0.68     v1_cat_1: $i > $o)).
% 0.63/0.68  tff(k17_isocat_2_type, type, (
% 0.63/0.68     k17_isocat_2: ( $i * $i * $i ) > $i)).
% 0.63/0.68  tff(1,plain,
% 0.63/0.68      (^[A: $i, B: $i] : refl(((~l1_cat_1(B)) | (~v2_cat_1(B)) | (~v2_cat_1(A)) | (~l1_cat_1(A)) | (~((~v2_cat_1(k11_cat_2(A, B))) | (~l1_cat_1(k11_cat_2(A, B)))))) <=> ((~l1_cat_1(B)) | (~v2_cat_1(B)) | (~v2_cat_1(A)) | (~l1_cat_1(A)) | (~((~v2_cat_1(k11_cat_2(A, B))) | (~l1_cat_1(k11_cat_2(A, B)))))))),
% 0.63/0.68      inference(bind,[status(th)],[])).
% 0.63/0.68  tff(2,plain,
% 0.63/0.68      (![A: $i, B: $i] : ((~l1_cat_1(B)) | (~v2_cat_1(B)) | (~v2_cat_1(A)) | (~l1_cat_1(A)) | (~((~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(B)) | (~v2_cat_1(A)) | (~l1_cat_1(A)) | (~((~v2_cat_1(k11_cat_2(A, B))) | (~l1_cat_1(k11_cat_2(A, B))))))),
% 0.63/0.68      inference(quant_intro,[status(thm)],[1])).
% 0.63/0.68  tff(3,plain,
% 0.63/0.68      (^[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(B)) | (~v2_cat_1(A)) | (~l1_cat_1(A))))), ((~(v2_cat_1(A) & l1_cat_1(A) & v2_cat_1(B) & l1_cat_1(B))) <=> (~(~((~l1_cat_1(B)) | (~v2_cat_1(B)) | (~v2_cat_1(A)) | (~l1_cat_1(A))))))), rewrite((~(~((~l1_cat_1(B)) | (~v2_cat_1(B)) | (~v2_cat_1(A)) | (~l1_cat_1(A))))) <=> ((~l1_cat_1(B)) | (~v2_cat_1(B)) | (~v2_cat_1(A)) | (~l1_cat_1(A)))), ((~(v2_cat_1(A) & l1_cat_1(A) & v2_cat_1(B) & l1_cat_1(B))) <=> ((~l1_cat_1(B)) | (~v2_cat_1(B)) | (~v2_cat_1(A)) | (~l1_cat_1(A))))), 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(B)) | (~v2_cat_1(A)) | (~l1_cat_1(A))) | (~((~v2_cat_1(k11_cat_2(A, B))) | (~l1_cat_1(k11_cat_2(A, B)))))))), rewrite((((~l1_cat_1(B)) | (~v2_cat_1(B)) | (~v2_cat_1(A)) | (~l1_cat_1(A))) | (~((~v2_cat_1(k11_cat_2(A, B))) | (~l1_cat_1(k11_cat_2(A, B)))))) <=> ((~l1_cat_1(B)) | (~v2_cat_1(B)) | (~v2_cat_1(A)) | (~l1_cat_1(A)) | (~((~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(B)) | (~v2_cat_1(A)) | (~l1_cat_1(A)) | (~((~v2_cat_1(k11_cat_2(A, B))) | (~l1_cat_1(k11_cat_2(A, B))))))))),
% 0.63/0.68      inference(bind,[status(th)],[])).
% 0.63/0.68  tff(4,plain,
% 0.63/0.68      (![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(B)) | (~v2_cat_1(A)) | (~l1_cat_1(A)) | (~((~v2_cat_1(k11_cat_2(A, B))) | (~l1_cat_1(k11_cat_2(A, B))))))),
% 0.63/0.68      inference(quant_intro,[status(thm)],[3])).
% 0.63/0.68  tff(5,plain,
% 0.63/0.68      (![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))))),
% 0.63/0.68      inference(rewrite,[status(thm)],[])).
% 0.63/0.68  tff(6,plain,
% 0.63/0.68      (^[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))))))),
% 0.63/0.68      inference(bind,[status(th)],[])).
% 0.63/0.68  tff(7,plain,
% 0.63/0.68      (![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))))),
% 0.63/0.68      inference(quant_intro,[status(thm)],[6])).
% 0.63/0.68  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')).
% 0.63/0.68  tff(9,plain,
% 0.63/0.68      (![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))))),
% 0.63/0.68      inference(modus_ponens,[status(thm)],[8, 7])).
% 0.63/0.68  tff(10,plain,
% 0.63/0.68      (![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))))),
% 0.63/0.68      inference(modus_ponens,[status(thm)],[9, 5])).
% 0.63/0.68  tff(11,plain,(
% 0.63/0.68      ![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))))),
% 0.63/0.68      inference(skolemize,[status(sab)],[10])).
% 0.63/0.68  tff(12,plain,
% 0.63/0.68      (![A: $i, B: $i] : ((~l1_cat_1(B)) | (~v2_cat_1(B)) | (~v2_cat_1(A)) | (~l1_cat_1(A)) | (~((~v2_cat_1(k11_cat_2(A, B))) | (~l1_cat_1(k11_cat_2(A, B))))))),
% 0.63/0.68      inference(modus_ponens,[status(thm)],[11, 4])).
% 0.63/0.68  tff(13,plain,
% 0.63/0.68      (![A: $i, B: $i] : ((~l1_cat_1(B)) | (~v2_cat_1(B)) | (~v2_cat_1(A)) | (~l1_cat_1(A)) | (~((~v2_cat_1(k11_cat_2(A, B))) | (~l1_cat_1(k11_cat_2(A, B))))))),
% 0.63/0.68      inference(modus_ponens,[status(thm)],[12, 2])).
% 0.63/0.68  tff(14,plain,
% 0.63/0.68      (((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))) | r1_isocat_1(k12_nattra_1(A!0, k11_cat_2(B!1, C!2)), k11_cat_2(k12_nattra_1(A!0, B!1), k12_nattra_1(A!0, 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))) | r1_isocat_1(k12_nattra_1(A!0, k11_cat_2(B!1, C!2)), k11_cat_2(k12_nattra_1(A!0, B!1), k12_nattra_1(A!0, C!2))))))),
% 0.63/0.68      inference(rewrite,[status(thm)],[])).
% 0.63/0.68  tff(15,plain,
% 0.63/0.68      (((v2_cat_1(B!1) & l1_cat_1(B!1)) & (~((~(v2_cat_1(C!2) & l1_cat_1(C!2))) | r1_isocat_1(k12_nattra_1(A!0, k11_cat_2(B!1, C!2)), k11_cat_2(k12_nattra_1(A!0, B!1), k12_nattra_1(A!0, C!2)))))) <=> (v2_cat_1(B!1) & l1_cat_1(B!1) & (~((~(v2_cat_1(C!2) & l1_cat_1(C!2))) | r1_isocat_1(k12_nattra_1(A!0, k11_cat_2(B!1, C!2)), k11_cat_2(k12_nattra_1(A!0, B!1), k12_nattra_1(A!0, C!2))))))),
% 0.63/0.68      inference(rewrite,[status(thm)],[])).
% 0.63/0.68  tff(16,plain,
% 0.63/0.68      ((~(~(v2_cat_1(B!1) & l1_cat_1(B!1)))) <=> (v2_cat_1(B!1) & l1_cat_1(B!1))),
% 0.63/0.68      inference(rewrite,[status(thm)],[])).
% 0.63/0.68  tff(17,plain,
% 0.63/0.68      (((~(~(v2_cat_1(B!1) & l1_cat_1(B!1)))) & (~((~(v2_cat_1(C!2) & l1_cat_1(C!2))) | r1_isocat_1(k12_nattra_1(A!0, k11_cat_2(B!1, C!2)), k11_cat_2(k12_nattra_1(A!0, B!1), k12_nattra_1(A!0, C!2)))))) <=> ((v2_cat_1(B!1) & l1_cat_1(B!1)) & (~((~(v2_cat_1(C!2) & l1_cat_1(C!2))) | r1_isocat_1(k12_nattra_1(A!0, k11_cat_2(B!1, C!2)), k11_cat_2(k12_nattra_1(A!0, B!1), k12_nattra_1(A!0, C!2))))))),
% 0.63/0.68      inference(monotonicity,[status(thm)],[16])).
% 0.63/0.68  tff(18,plain,
% 0.63/0.68      (((~(~(v2_cat_1(B!1) & l1_cat_1(B!1)))) & (~((~(v2_cat_1(C!2) & l1_cat_1(C!2))) | r1_isocat_1(k12_nattra_1(A!0, k11_cat_2(B!1, C!2)), k11_cat_2(k12_nattra_1(A!0, B!1), k12_nattra_1(A!0, C!2)))))) <=> (v2_cat_1(B!1) & l1_cat_1(B!1) & (~((~(v2_cat_1(C!2) & l1_cat_1(C!2))) | r1_isocat_1(k12_nattra_1(A!0, k11_cat_2(B!1, C!2)), k11_cat_2(k12_nattra_1(A!0, B!1), k12_nattra_1(A!0, C!2))))))),
% 0.63/0.68      inference(transitivity,[status(thm)],[17, 15])).
% 0.63/0.68  tff(19,plain,
% 0.63/0.68      ((~(~(v2_cat_1(A!0) & l1_cat_1(A!0)))) <=> (v2_cat_1(A!0) & l1_cat_1(A!0))),
% 0.63/0.68      inference(rewrite,[status(thm)],[])).
% 0.63/0.68  tff(20,plain,
% 0.63/0.68      (((~(~(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))) | r1_isocat_1(k12_nattra_1(A!0, k11_cat_2(B!1, C!2)), k11_cat_2(k12_nattra_1(A!0, B!1), k12_nattra_1(A!0, 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))) | r1_isocat_1(k12_nattra_1(A!0, k11_cat_2(B!1, C!2)), k11_cat_2(k12_nattra_1(A!0, B!1), k12_nattra_1(A!0, C!2)))))))),
% 0.63/0.68      inference(monotonicity,[status(thm)],[19, 18])).
% 0.63/0.68  tff(21,plain,
% 0.63/0.68      (((~(~(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))) | r1_isocat_1(k12_nattra_1(A!0, k11_cat_2(B!1, C!2)), k11_cat_2(k12_nattra_1(A!0, B!1), k12_nattra_1(A!0, 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))) | r1_isocat_1(k12_nattra_1(A!0, k11_cat_2(B!1, C!2)), k11_cat_2(k12_nattra_1(A!0, B!1), k12_nattra_1(A!0, C!2))))))),
% 0.63/0.68      inference(transitivity,[status(thm)],[20, 14])).
% 0.63/0.68  tff(22,plain,
% 0.63/0.68      ((~![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))) | r1_isocat_1(k12_nattra_1(A, k11_cat_2(B, C)), k11_cat_2(k12_nattra_1(A, B), k12_nattra_1(A, 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))) | r1_isocat_1(k12_nattra_1(A, k11_cat_2(B, C)), k11_cat_2(k12_nattra_1(A, B), k12_nattra_1(A, C)))))))),
% 0.63/0.68      inference(rewrite,[status(thm)],[])).
% 0.63/0.68  tff(23,plain,
% 0.63/0.68      ((~![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)) => r1_isocat_1(k12_nattra_1(A, k11_cat_2(B, C)), k11_cat_2(k12_nattra_1(A, B), k12_nattra_1(A, 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))) | r1_isocat_1(k12_nattra_1(A, k11_cat_2(B, C)), k11_cat_2(k12_nattra_1(A, B), k12_nattra_1(A, C)))))))),
% 0.63/0.68      inference(rewrite,[status(thm)],[])).
% 0.63/0.68  tff(24,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)) => r1_isocat_1(k12_nattra_1(A, k11_cat_2(B, C)), k11_cat_2(k12_nattra_1(A, B), k12_nattra_1(A, C))))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','t49_isocat_2')).
% 0.63/0.68  tff(25,plain,
% 0.63/0.68      (~![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))) | r1_isocat_1(k12_nattra_1(A, k11_cat_2(B, C)), k11_cat_2(k12_nattra_1(A, B), k12_nattra_1(A, C))))))),
% 0.63/0.68      inference(modus_ponens,[status(thm)],[24, 23])).
% 0.63/0.68  tff(26,plain,
% 0.63/0.68      (~![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))) | r1_isocat_1(k12_nattra_1(A, k11_cat_2(B, C)), k11_cat_2(k12_nattra_1(A, B), k12_nattra_1(A, C))))))),
% 0.63/0.68      inference(modus_ponens,[status(thm)],[25, 22])).
% 0.63/0.68  tff(27,plain,
% 0.63/0.68      (~![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))) | r1_isocat_1(k12_nattra_1(A, k11_cat_2(B, C)), k11_cat_2(k12_nattra_1(A, B), k12_nattra_1(A, C))))))),
% 0.63/0.68      inference(modus_ponens,[status(thm)],[26, 22])).
% 0.63/0.68  tff(28,plain,
% 0.63/0.68      (~![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))) | r1_isocat_1(k12_nattra_1(A, k11_cat_2(B, C)), k11_cat_2(k12_nattra_1(A, B), k12_nattra_1(A, C))))))),
% 0.63/0.68      inference(modus_ponens,[status(thm)],[27, 22])).
% 0.63/0.68  tff(29,plain,
% 0.63/0.68      (~![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))) | r1_isocat_1(k12_nattra_1(A, k11_cat_2(B, C)), k11_cat_2(k12_nattra_1(A, B), k12_nattra_1(A, C))))))),
% 0.63/0.68      inference(modus_ponens,[status(thm)],[28, 22])).
% 0.63/0.68  tff(30,plain,
% 0.63/0.68      (~![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))) | r1_isocat_1(k12_nattra_1(A, k11_cat_2(B, C)), k11_cat_2(k12_nattra_1(A, B), k12_nattra_1(A, C))))))),
% 0.63/0.68      inference(modus_ponens,[status(thm)],[29, 22])).
% 0.63/0.68  tff(31,plain,
% 0.63/0.68      (~![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))) | r1_isocat_1(k12_nattra_1(A, k11_cat_2(B, C)), k11_cat_2(k12_nattra_1(A, B), k12_nattra_1(A, C))))))),
% 0.63/0.68      inference(modus_ponens,[status(thm)],[30, 22])).
% 0.63/0.68  tff(32,plain,
% 0.63/0.68      (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))) | r1_isocat_1(k12_nattra_1(A!0, k11_cat_2(B!1, C!2)), k11_cat_2(k12_nattra_1(A!0, B!1), k12_nattra_1(A!0, C!2)))))),
% 0.63/0.68      inference(modus_ponens,[status(thm)],[31, 21])).
% 0.63/0.68  tff(33,plain,
% 0.63/0.68      (~((~(v2_cat_1(C!2) & l1_cat_1(C!2))) | r1_isocat_1(k12_nattra_1(A!0, k11_cat_2(B!1, C!2)), k11_cat_2(k12_nattra_1(A!0, B!1), k12_nattra_1(A!0, C!2))))),
% 0.63/0.68      inference(and_elim,[status(thm)],[32])).
% 0.63/0.68  tff(34,plain,
% 0.63/0.68      (v2_cat_1(C!2) & l1_cat_1(C!2)),
% 0.63/0.68      inference(or_elim,[status(thm)],[33])).
% 0.63/0.68  tff(35,plain,
% 0.63/0.68      (l1_cat_1(C!2)),
% 0.63/0.68      inference(and_elim,[status(thm)],[34])).
% 0.63/0.68  tff(36,plain,
% 0.63/0.68      (v2_cat_1(C!2)),
% 0.63/0.68      inference(and_elim,[status(thm)],[34])).
% 0.63/0.68  tff(37,plain,
% 0.63/0.68      (l1_cat_1(B!1)),
% 0.63/0.68      inference(and_elim,[status(thm)],[32])).
% 0.63/0.68  tff(38,plain,
% 0.63/0.68      (v2_cat_1(B!1)),
% 0.63/0.68      inference(and_elim,[status(thm)],[32])).
% 0.63/0.68  tff(39,plain,
% 0.63/0.68      (((~![A: $i, B: $i] : ((~l1_cat_1(B)) | (~v2_cat_1(B)) | (~v2_cat_1(A)) | (~l1_cat_1(A)) | (~((~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(B)) | (~v2_cat_1(A)) | (~l1_cat_1(A)) | (~((~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))))))),
% 0.63/0.68      inference(rewrite,[status(thm)],[])).
% 0.63/0.68  tff(40,plain,
% 0.63/0.68      (((~l1_cat_1(C!2)) | (~v2_cat_1(C!2)) | (~v2_cat_1(B!1)) | (~l1_cat_1(B!1)) | (~((~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))))))),
% 0.63/0.68      inference(rewrite,[status(thm)],[])).
% 0.63/0.68  tff(41,plain,
% 0.63/0.68      ((~((~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)))))),
% 0.63/0.68      inference(rewrite,[status(thm)],[])).
% 0.63/0.68  tff(42,plain,
% 0.63/0.68      (((~l1_cat_1(C!2)) | (~v2_cat_1(C!2)) | (~v2_cat_1(B!1)) | (~l1_cat_1(B!1)) | (~((~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(C!2)) | (~v2_cat_1(B!1)) | (~l1_cat_1(B!1)) | (~((~v2_cat_1(k11_cat_2(B!1, C!2))) | (~l1_cat_1(k11_cat_2(B!1, C!2))))))),
% 0.63/0.68      inference(monotonicity,[status(thm)],[41])).
% 0.63/0.68  tff(43,plain,
% 0.63/0.68      (((~l1_cat_1(C!2)) | (~v2_cat_1(C!2)) | (~v2_cat_1(B!1)) | (~l1_cat_1(B!1)) | (~((~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))))))),
% 0.63/0.68      inference(transitivity,[status(thm)],[42, 40])).
% 0.63/0.68  tff(44,plain,
% 0.63/0.68      (((~![A: $i, B: $i] : ((~l1_cat_1(B)) | (~v2_cat_1(B)) | (~v2_cat_1(A)) | (~l1_cat_1(A)) | (~((~v2_cat_1(k11_cat_2(A, B))) | (~l1_cat_1(k11_cat_2(A, B))))))) | ((~l1_cat_1(C!2)) | (~v2_cat_1(C!2)) | (~v2_cat_1(B!1)) | (~l1_cat_1(B!1)) | (~((~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(B)) | (~v2_cat_1(A)) | (~l1_cat_1(A)) | (~((~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)))))))),
% 0.63/0.68      inference(monotonicity,[status(thm)],[43])).
% 0.63/0.68  tff(45,plain,
% 0.63/0.68      (((~![A: $i, B: $i] : ((~l1_cat_1(B)) | (~v2_cat_1(B)) | (~v2_cat_1(A)) | (~l1_cat_1(A)) | (~((~v2_cat_1(k11_cat_2(A, B))) | (~l1_cat_1(k11_cat_2(A, B))))))) | ((~l1_cat_1(C!2)) | (~v2_cat_1(C!2)) | (~v2_cat_1(B!1)) | (~l1_cat_1(B!1)) | (~((~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(B)) | (~v2_cat_1(A)) | (~l1_cat_1(A)) | (~((~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))))))),
% 0.63/0.68      inference(transitivity,[status(thm)],[44, 39])).
% 0.63/0.68  tff(46,plain,
% 0.63/0.68      ((~![A: $i, B: $i] : ((~l1_cat_1(B)) | (~v2_cat_1(B)) | (~v2_cat_1(A)) | (~l1_cat_1(A)) | (~((~v2_cat_1(k11_cat_2(A, B))) | (~l1_cat_1(k11_cat_2(A, B))))))) | ((~l1_cat_1(C!2)) | (~v2_cat_1(C!2)) | (~v2_cat_1(B!1)) | (~l1_cat_1(B!1)) | (~((~v2_cat_1(k11_cat_2(B!1, C!2))) | (~l1_cat_1(k11_cat_2(B!1, C!2))))))),
% 0.63/0.68      inference(quant_inst,[status(thm)],[])).
% 0.63/0.68  tff(47,plain,
% 0.63/0.68      ((~![A: $i, B: $i] : ((~l1_cat_1(B)) | (~v2_cat_1(B)) | (~v2_cat_1(A)) | (~l1_cat_1(A)) | (~((~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)))))),
% 0.63/0.68      inference(modus_ponens,[status(thm)],[46, 45])).
% 0.63/0.68  tff(48,plain,
% 0.63/0.68      (~((~v2_cat_1(k11_cat_2(B!1, C!2))) | (~l1_cat_1(k11_cat_2(B!1, C!2))))),
% 0.63/0.68      inference(unit_resolution,[status(thm)],[47, 38, 37, 36, 35, 13])).
% 0.63/0.68  tff(49,plain,
% 0.63/0.68      (((~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))),
% 0.63/0.68      inference(tautology,[status(thm)],[])).
% 0.63/0.68  tff(50,plain,
% 0.63/0.68      (v2_cat_1(k11_cat_2(B!1, C!2))),
% 0.63/0.68      inference(unit_resolution,[status(thm)],[49, 48])).
% 0.63/0.68  tff(51,plain,
% 0.63/0.68      (((~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))),
% 0.63/0.68      inference(tautology,[status(thm)],[])).
% 0.63/0.68  tff(52,plain,
% 0.63/0.68      (l1_cat_1(k11_cat_2(B!1, C!2))),
% 0.63/0.68      inference(unit_resolution,[status(thm)],[51, 48])).
% 0.63/0.68  tff(53,plain,
% 0.63/0.68      (^[A: $i, B: $i] : refl(((~l1_cat_1(B)) | (~v2_cat_1(B)) | (~v2_cat_1(A)) | (~l1_cat_1(A)) | (~((~v1_cat_1(k12_nattra_1(A, B))) | (~v2_cat_1(k12_nattra_1(A, B))) | (~l1_cat_1(k12_nattra_1(A, B)))))) <=> ((~l1_cat_1(B)) | (~v2_cat_1(B)) | (~v2_cat_1(A)) | (~l1_cat_1(A)) | (~((~v1_cat_1(k12_nattra_1(A, B))) | (~v2_cat_1(k12_nattra_1(A, B))) | (~l1_cat_1(k12_nattra_1(A, B)))))))),
% 0.63/0.68      inference(bind,[status(th)],[])).
% 0.63/0.68  tff(54,plain,
% 0.63/0.68      (![A: $i, B: $i] : ((~l1_cat_1(B)) | (~v2_cat_1(B)) | (~v2_cat_1(A)) | (~l1_cat_1(A)) | (~((~v1_cat_1(k12_nattra_1(A, B))) | (~v2_cat_1(k12_nattra_1(A, B))) | (~l1_cat_1(k12_nattra_1(A, B)))))) <=> ![A: $i, B: $i] : ((~l1_cat_1(B)) | (~v2_cat_1(B)) | (~v2_cat_1(A)) | (~l1_cat_1(A)) | (~((~v1_cat_1(k12_nattra_1(A, B))) | (~v2_cat_1(k12_nattra_1(A, B))) | (~l1_cat_1(k12_nattra_1(A, B))))))),
% 0.63/0.68      inference(quant_intro,[status(thm)],[53])).
% 0.63/0.68  tff(55,plain,
% 0.63/0.68      (^[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(B)) | (~v2_cat_1(A)) | (~l1_cat_1(A))))), ((~(v2_cat_1(A) & l1_cat_1(A) & v2_cat_1(B) & l1_cat_1(B))) <=> (~(~((~l1_cat_1(B)) | (~v2_cat_1(B)) | (~v2_cat_1(A)) | (~l1_cat_1(A))))))), rewrite((~(~((~l1_cat_1(B)) | (~v2_cat_1(B)) | (~v2_cat_1(A)) | (~l1_cat_1(A))))) <=> ((~l1_cat_1(B)) | (~v2_cat_1(B)) | (~v2_cat_1(A)) | (~l1_cat_1(A)))), ((~(v2_cat_1(A) & l1_cat_1(A) & v2_cat_1(B) & l1_cat_1(B))) <=> ((~l1_cat_1(B)) | (~v2_cat_1(B)) | (~v2_cat_1(A)) | (~l1_cat_1(A))))), rewrite((v1_cat_1(k12_nattra_1(A, B)) & v2_cat_1(k12_nattra_1(A, B)) & l1_cat_1(k12_nattra_1(A, B))) <=> (~((~v1_cat_1(k12_nattra_1(A, B))) | (~v2_cat_1(k12_nattra_1(A, B))) | (~l1_cat_1(k12_nattra_1(A, B)))))), (((~(v2_cat_1(A) & l1_cat_1(A) & v2_cat_1(B) & l1_cat_1(B))) | (v1_cat_1(k12_nattra_1(A, B)) & v2_cat_1(k12_nattra_1(A, B)) & l1_cat_1(k12_nattra_1(A, B)))) <=> (((~l1_cat_1(B)) | (~v2_cat_1(B)) | (~v2_cat_1(A)) | (~l1_cat_1(A))) | (~((~v1_cat_1(k12_nattra_1(A, B))) | (~v2_cat_1(k12_nattra_1(A, B))) | (~l1_cat_1(k12_nattra_1(A, B)))))))), rewrite((((~l1_cat_1(B)) | (~v2_cat_1(B)) | (~v2_cat_1(A)) | (~l1_cat_1(A))) | (~((~v1_cat_1(k12_nattra_1(A, B))) | (~v2_cat_1(k12_nattra_1(A, B))) | (~l1_cat_1(k12_nattra_1(A, B)))))) <=> ((~l1_cat_1(B)) | (~v2_cat_1(B)) | (~v2_cat_1(A)) | (~l1_cat_1(A)) | (~((~v1_cat_1(k12_nattra_1(A, B))) | (~v2_cat_1(k12_nattra_1(A, B))) | (~l1_cat_1(k12_nattra_1(A, B))))))), (((~(v2_cat_1(A) & l1_cat_1(A) & v2_cat_1(B) & l1_cat_1(B))) | (v1_cat_1(k12_nattra_1(A, B)) & v2_cat_1(k12_nattra_1(A, B)) & l1_cat_1(k12_nattra_1(A, B)))) <=> ((~l1_cat_1(B)) | (~v2_cat_1(B)) | (~v2_cat_1(A)) | (~l1_cat_1(A)) | (~((~v1_cat_1(k12_nattra_1(A, B))) | (~v2_cat_1(k12_nattra_1(A, B))) | (~l1_cat_1(k12_nattra_1(A, B))))))))),
% 0.63/0.68      inference(bind,[status(th)],[])).
% 0.63/0.68  tff(56,plain,
% 0.63/0.68      (![A: $i, B: $i] : ((~(v2_cat_1(A) & l1_cat_1(A) & v2_cat_1(B) & l1_cat_1(B))) | (v1_cat_1(k12_nattra_1(A, B)) & v2_cat_1(k12_nattra_1(A, B)) & l1_cat_1(k12_nattra_1(A, B)))) <=> ![A: $i, B: $i] : ((~l1_cat_1(B)) | (~v2_cat_1(B)) | (~v2_cat_1(A)) | (~l1_cat_1(A)) | (~((~v1_cat_1(k12_nattra_1(A, B))) | (~v2_cat_1(k12_nattra_1(A, B))) | (~l1_cat_1(k12_nattra_1(A, B))))))),
% 0.63/0.68      inference(quant_intro,[status(thm)],[55])).
% 0.63/0.68  tff(57,plain,
% 0.63/0.68      (![A: $i, B: $i] : ((~(v2_cat_1(A) & l1_cat_1(A) & v2_cat_1(B) & l1_cat_1(B))) | (v1_cat_1(k12_nattra_1(A, B)) & v2_cat_1(k12_nattra_1(A, B)) & l1_cat_1(k12_nattra_1(A, B)))) <=> ![A: $i, B: $i] : ((~(v2_cat_1(A) & l1_cat_1(A) & v2_cat_1(B) & l1_cat_1(B))) | (v1_cat_1(k12_nattra_1(A, B)) & v2_cat_1(k12_nattra_1(A, B)) & l1_cat_1(k12_nattra_1(A, B))))),
% 0.63/0.68      inference(rewrite,[status(thm)],[])).
% 0.63/0.68  tff(58,plain,
% 0.63/0.68      (^[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)))), rewrite(((v1_cat_1(k12_nattra_1(A, B)) & v2_cat_1(k12_nattra_1(A, B))) & l1_cat_1(k12_nattra_1(A, B))) <=> (v1_cat_1(k12_nattra_1(A, B)) & v2_cat_1(k12_nattra_1(A, B)) & l1_cat_1(k12_nattra_1(A, B)))), (((((v2_cat_1(A) & l1_cat_1(A)) & v2_cat_1(B)) & l1_cat_1(B)) => ((v1_cat_1(k12_nattra_1(A, B)) & v2_cat_1(k12_nattra_1(A, B))) & l1_cat_1(k12_nattra_1(A, B)))) <=> ((v2_cat_1(A) & l1_cat_1(A) & v2_cat_1(B) & l1_cat_1(B)) => (v1_cat_1(k12_nattra_1(A, B)) & v2_cat_1(k12_nattra_1(A, B)) & l1_cat_1(k12_nattra_1(A, B)))))), rewrite(((v2_cat_1(A) & l1_cat_1(A) & v2_cat_1(B) & l1_cat_1(B)) => (v1_cat_1(k12_nattra_1(A, B)) & v2_cat_1(k12_nattra_1(A, B)) & l1_cat_1(k12_nattra_1(A, B)))) <=> ((~(v2_cat_1(A) & l1_cat_1(A) & v2_cat_1(B) & l1_cat_1(B))) | (v1_cat_1(k12_nattra_1(A, B)) & v2_cat_1(k12_nattra_1(A, B)) & l1_cat_1(k12_nattra_1(A, B))))), (((((v2_cat_1(A) & l1_cat_1(A)) & v2_cat_1(B)) & l1_cat_1(B)) => ((v1_cat_1(k12_nattra_1(A, B)) & v2_cat_1(k12_nattra_1(A, B))) & l1_cat_1(k12_nattra_1(A, B)))) <=> ((~(v2_cat_1(A) & l1_cat_1(A) & v2_cat_1(B) & l1_cat_1(B))) | (v1_cat_1(k12_nattra_1(A, B)) & v2_cat_1(k12_nattra_1(A, B)) & l1_cat_1(k12_nattra_1(A, B))))))),
% 0.63/0.68      inference(bind,[status(th)],[])).
% 0.63/0.68  tff(59,plain,
% 0.63/0.68      (![A: $i, B: $i] : ((((v2_cat_1(A) & l1_cat_1(A)) & v2_cat_1(B)) & l1_cat_1(B)) => ((v1_cat_1(k12_nattra_1(A, B)) & v2_cat_1(k12_nattra_1(A, B))) & l1_cat_1(k12_nattra_1(A, B)))) <=> ![A: $i, B: $i] : ((~(v2_cat_1(A) & l1_cat_1(A) & v2_cat_1(B) & l1_cat_1(B))) | (v1_cat_1(k12_nattra_1(A, B)) & v2_cat_1(k12_nattra_1(A, B)) & l1_cat_1(k12_nattra_1(A, B))))),
% 0.63/0.68      inference(quant_intro,[status(thm)],[58])).
% 0.63/0.68  tff(60,axiom,(![A: $i, B: $i] : ((((v2_cat_1(A) & l1_cat_1(A)) & v2_cat_1(B)) & l1_cat_1(B)) => ((v1_cat_1(k12_nattra_1(A, B)) & v2_cat_1(k12_nattra_1(A, B))) & l1_cat_1(k12_nattra_1(A, B))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','dt_k12_nattra_1')).
% 0.63/0.68  tff(61,plain,
% 0.63/0.68      (![A: $i, B: $i] : ((~(v2_cat_1(A) & l1_cat_1(A) & v2_cat_1(B) & l1_cat_1(B))) | (v1_cat_1(k12_nattra_1(A, B)) & v2_cat_1(k12_nattra_1(A, B)) & l1_cat_1(k12_nattra_1(A, B))))),
% 0.63/0.68      inference(modus_ponens,[status(thm)],[60, 59])).
% 0.63/0.68  tff(62,plain,
% 0.63/0.68      (![A: $i, B: $i] : ((~(v2_cat_1(A) & l1_cat_1(A) & v2_cat_1(B) & l1_cat_1(B))) | (v1_cat_1(k12_nattra_1(A, B)) & v2_cat_1(k12_nattra_1(A, B)) & l1_cat_1(k12_nattra_1(A, B))))),
% 0.63/0.68      inference(modus_ponens,[status(thm)],[61, 57])).
% 0.63/0.68  tff(63,plain,(
% 0.63/0.68      ![A: $i, B: $i] : ((~(v2_cat_1(A) & l1_cat_1(A) & v2_cat_1(B) & l1_cat_1(B))) | (v1_cat_1(k12_nattra_1(A, B)) & v2_cat_1(k12_nattra_1(A, B)) & l1_cat_1(k12_nattra_1(A, B))))),
% 0.63/0.68      inference(skolemize,[status(sab)],[62])).
% 0.63/0.68  tff(64,plain,
% 0.63/0.68      (![A: $i, B: $i] : ((~l1_cat_1(B)) | (~v2_cat_1(B)) | (~v2_cat_1(A)) | (~l1_cat_1(A)) | (~((~v1_cat_1(k12_nattra_1(A, B))) | (~v2_cat_1(k12_nattra_1(A, B))) | (~l1_cat_1(k12_nattra_1(A, B))))))),
% 0.63/0.68      inference(modus_ponens,[status(thm)],[63, 56])).
% 0.63/0.68  tff(65,plain,
% 0.63/0.68      (![A: $i, B: $i] : ((~l1_cat_1(B)) | (~v2_cat_1(B)) | (~v2_cat_1(A)) | (~l1_cat_1(A)) | (~((~v1_cat_1(k12_nattra_1(A, B))) | (~v2_cat_1(k12_nattra_1(A, B))) | (~l1_cat_1(k12_nattra_1(A, B))))))),
% 0.63/0.68      inference(modus_ponens,[status(thm)],[64, 54])).
% 0.63/0.68  tff(66,plain,
% 0.63/0.68      (l1_cat_1(A!0)),
% 0.63/0.68      inference(and_elim,[status(thm)],[32])).
% 0.63/0.68  tff(67,plain,
% 0.63/0.68      (v2_cat_1(A!0)),
% 0.63/0.68      inference(and_elim,[status(thm)],[32])).
% 0.63/0.68  tff(68,plain,
% 0.63/0.68      (((~![A: $i, B: $i] : ((~l1_cat_1(B)) | (~v2_cat_1(B)) | (~v2_cat_1(A)) | (~l1_cat_1(A)) | (~((~v1_cat_1(k12_nattra_1(A, B))) | (~v2_cat_1(k12_nattra_1(A, B))) | (~l1_cat_1(k12_nattra_1(A, B))))))) | ((~l1_cat_1(A!0)) | (~v2_cat_1(A!0)) | (~v2_cat_1(k11_cat_2(B!1, C!2))) | (~l1_cat_1(k11_cat_2(B!1, C!2))) | (~((~v1_cat_1(k12_nattra_1(A!0, k11_cat_2(B!1, C!2)))) | (~v2_cat_1(k12_nattra_1(A!0, k11_cat_2(B!1, C!2)))) | (~l1_cat_1(k12_nattra_1(A!0, k11_cat_2(B!1, C!2)))))))) <=> ((~![A: $i, B: $i] : ((~l1_cat_1(B)) | (~v2_cat_1(B)) | (~v2_cat_1(A)) | (~l1_cat_1(A)) | (~((~v1_cat_1(k12_nattra_1(A, B))) | (~v2_cat_1(k12_nattra_1(A, B))) | (~l1_cat_1(k12_nattra_1(A, B))))))) | (~l1_cat_1(A!0)) | (~v2_cat_1(A!0)) | (~v2_cat_1(k11_cat_2(B!1, C!2))) | (~l1_cat_1(k11_cat_2(B!1, C!2))) | (~((~v1_cat_1(k12_nattra_1(A!0, k11_cat_2(B!1, C!2)))) | (~v2_cat_1(k12_nattra_1(A!0, k11_cat_2(B!1, C!2)))) | (~l1_cat_1(k12_nattra_1(A!0, k11_cat_2(B!1, C!2)))))))),
% 0.63/0.68      inference(rewrite,[status(thm)],[])).
% 0.63/0.68  tff(69,plain,
% 0.63/0.68      (((~l1_cat_1(k11_cat_2(B!1, C!2))) | (~v2_cat_1(k11_cat_2(B!1, C!2))) | (~v2_cat_1(A!0)) | (~l1_cat_1(A!0)) | (~((~v1_cat_1(k12_nattra_1(A!0, k11_cat_2(B!1, C!2)))) | (~v2_cat_1(k12_nattra_1(A!0, k11_cat_2(B!1, C!2)))) | (~l1_cat_1(k12_nattra_1(A!0, k11_cat_2(B!1, C!2))))))) <=> ((~l1_cat_1(A!0)) | (~v2_cat_1(A!0)) | (~v2_cat_1(k11_cat_2(B!1, C!2))) | (~l1_cat_1(k11_cat_2(B!1, C!2))) | (~((~v1_cat_1(k12_nattra_1(A!0, k11_cat_2(B!1, C!2)))) | (~v2_cat_1(k12_nattra_1(A!0, k11_cat_2(B!1, C!2)))) | (~l1_cat_1(k12_nattra_1(A!0, k11_cat_2(B!1, C!2)))))))),
% 0.63/0.68      inference(rewrite,[status(thm)],[])).
% 0.63/0.69  tff(70,plain,
% 0.63/0.69      ((~((~v1_cat_1(k12_nattra_1(A!0, k11_cat_2(B!1, C!2)))) | (~v2_cat_1(k12_nattra_1(A!0, k11_cat_2(B!1, C!2)))) | (~l1_cat_1(k12_nattra_1(A!0, k11_cat_2(B!1, C!2)))))) <=> (~((~v1_cat_1(k12_nattra_1(A!0, k11_cat_2(B!1, C!2)))) | (~v2_cat_1(k12_nattra_1(A!0, k11_cat_2(B!1, C!2)))) | (~l1_cat_1(k12_nattra_1(A!0, k11_cat_2(B!1, C!2))))))),
% 0.63/0.69      inference(rewrite,[status(thm)],[])).
% 0.63/0.69  tff(71,plain,
% 0.63/0.69      (((~l1_cat_1(k11_cat_2(B!1, C!2))) | (~v2_cat_1(k11_cat_2(B!1, C!2))) | (~v2_cat_1(A!0)) | (~l1_cat_1(A!0)) | (~((~v1_cat_1(k12_nattra_1(A!0, k11_cat_2(B!1, C!2)))) | (~v2_cat_1(k12_nattra_1(A!0, k11_cat_2(B!1, C!2)))) | (~l1_cat_1(k12_nattra_1(A!0, 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))) | (~v2_cat_1(A!0)) | (~l1_cat_1(A!0)) | (~((~v1_cat_1(k12_nattra_1(A!0, k11_cat_2(B!1, C!2)))) | (~v2_cat_1(k12_nattra_1(A!0, k11_cat_2(B!1, C!2)))) | (~l1_cat_1(k12_nattra_1(A!0, k11_cat_2(B!1, C!2)))))))),
% 0.63/0.69      inference(monotonicity,[status(thm)],[70])).
% 0.63/0.69  tff(72,plain,
% 0.63/0.69      (((~l1_cat_1(k11_cat_2(B!1, C!2))) | (~v2_cat_1(k11_cat_2(B!1, C!2))) | (~v2_cat_1(A!0)) | (~l1_cat_1(A!0)) | (~((~v1_cat_1(k12_nattra_1(A!0, k11_cat_2(B!1, C!2)))) | (~v2_cat_1(k12_nattra_1(A!0, k11_cat_2(B!1, C!2)))) | (~l1_cat_1(k12_nattra_1(A!0, k11_cat_2(B!1, C!2))))))) <=> ((~l1_cat_1(A!0)) | (~v2_cat_1(A!0)) | (~v2_cat_1(k11_cat_2(B!1, C!2))) | (~l1_cat_1(k11_cat_2(B!1, C!2))) | (~((~v1_cat_1(k12_nattra_1(A!0, k11_cat_2(B!1, C!2)))) | (~v2_cat_1(k12_nattra_1(A!0, k11_cat_2(B!1, C!2)))) | (~l1_cat_1(k12_nattra_1(A!0, k11_cat_2(B!1, C!2)))))))),
% 0.63/0.69      inference(transitivity,[status(thm)],[71, 69])).
% 0.63/0.69  tff(73,plain,
% 0.63/0.69      (((~![A: $i, B: $i] : ((~l1_cat_1(B)) | (~v2_cat_1(B)) | (~v2_cat_1(A)) | (~l1_cat_1(A)) | (~((~v1_cat_1(k12_nattra_1(A, B))) | (~v2_cat_1(k12_nattra_1(A, B))) | (~l1_cat_1(k12_nattra_1(A, B))))))) | ((~l1_cat_1(k11_cat_2(B!1, C!2))) | (~v2_cat_1(k11_cat_2(B!1, C!2))) | (~v2_cat_1(A!0)) | (~l1_cat_1(A!0)) | (~((~v1_cat_1(k12_nattra_1(A!0, k11_cat_2(B!1, C!2)))) | (~v2_cat_1(k12_nattra_1(A!0, k11_cat_2(B!1, C!2)))) | (~l1_cat_1(k12_nattra_1(A!0, k11_cat_2(B!1, C!2)))))))) <=> ((~![A: $i, B: $i] : ((~l1_cat_1(B)) | (~v2_cat_1(B)) | (~v2_cat_1(A)) | (~l1_cat_1(A)) | (~((~v1_cat_1(k12_nattra_1(A, B))) | (~v2_cat_1(k12_nattra_1(A, B))) | (~l1_cat_1(k12_nattra_1(A, B))))))) | ((~l1_cat_1(A!0)) | (~v2_cat_1(A!0)) | (~v2_cat_1(k11_cat_2(B!1, C!2))) | (~l1_cat_1(k11_cat_2(B!1, C!2))) | (~((~v1_cat_1(k12_nattra_1(A!0, k11_cat_2(B!1, C!2)))) | (~v2_cat_1(k12_nattra_1(A!0, k11_cat_2(B!1, C!2)))) | (~l1_cat_1(k12_nattra_1(A!0, k11_cat_2(B!1, C!2))))))))),
% 0.63/0.69      inference(monotonicity,[status(thm)],[72])).
% 0.63/0.69  tff(74,plain,
% 0.63/0.69      (((~![A: $i, B: $i] : ((~l1_cat_1(B)) | (~v2_cat_1(B)) | (~v2_cat_1(A)) | (~l1_cat_1(A)) | (~((~v1_cat_1(k12_nattra_1(A, B))) | (~v2_cat_1(k12_nattra_1(A, B))) | (~l1_cat_1(k12_nattra_1(A, B))))))) | ((~l1_cat_1(k11_cat_2(B!1, C!2))) | (~v2_cat_1(k11_cat_2(B!1, C!2))) | (~v2_cat_1(A!0)) | (~l1_cat_1(A!0)) | (~((~v1_cat_1(k12_nattra_1(A!0, k11_cat_2(B!1, C!2)))) | (~v2_cat_1(k12_nattra_1(A!0, k11_cat_2(B!1, C!2)))) | (~l1_cat_1(k12_nattra_1(A!0, k11_cat_2(B!1, C!2)))))))) <=> ((~![A: $i, B: $i] : ((~l1_cat_1(B)) | (~v2_cat_1(B)) | (~v2_cat_1(A)) | (~l1_cat_1(A)) | (~((~v1_cat_1(k12_nattra_1(A, B))) | (~v2_cat_1(k12_nattra_1(A, B))) | (~l1_cat_1(k12_nattra_1(A, B))))))) | (~l1_cat_1(A!0)) | (~v2_cat_1(A!0)) | (~v2_cat_1(k11_cat_2(B!1, C!2))) | (~l1_cat_1(k11_cat_2(B!1, C!2))) | (~((~v1_cat_1(k12_nattra_1(A!0, k11_cat_2(B!1, C!2)))) | (~v2_cat_1(k12_nattra_1(A!0, k11_cat_2(B!1, C!2)))) | (~l1_cat_1(k12_nattra_1(A!0, k11_cat_2(B!1, C!2)))))))),
% 0.63/0.69      inference(transitivity,[status(thm)],[73, 68])).
% 0.63/0.69  tff(75,plain,
% 0.63/0.69      ((~![A: $i, B: $i] : ((~l1_cat_1(B)) | (~v2_cat_1(B)) | (~v2_cat_1(A)) | (~l1_cat_1(A)) | (~((~v1_cat_1(k12_nattra_1(A, B))) | (~v2_cat_1(k12_nattra_1(A, B))) | (~l1_cat_1(k12_nattra_1(A, B))))))) | ((~l1_cat_1(k11_cat_2(B!1, C!2))) | (~v2_cat_1(k11_cat_2(B!1, C!2))) | (~v2_cat_1(A!0)) | (~l1_cat_1(A!0)) | (~((~v1_cat_1(k12_nattra_1(A!0, k11_cat_2(B!1, C!2)))) | (~v2_cat_1(k12_nattra_1(A!0, k11_cat_2(B!1, C!2)))) | (~l1_cat_1(k12_nattra_1(A!0, k11_cat_2(B!1, C!2)))))))),
% 0.63/0.69      inference(quant_inst,[status(thm)],[])).
% 0.63/0.69  tff(76,plain,
% 0.63/0.69      ((~![A: $i, B: $i] : ((~l1_cat_1(B)) | (~v2_cat_1(B)) | (~v2_cat_1(A)) | (~l1_cat_1(A)) | (~((~v1_cat_1(k12_nattra_1(A, B))) | (~v2_cat_1(k12_nattra_1(A, B))) | (~l1_cat_1(k12_nattra_1(A, B))))))) | (~l1_cat_1(A!0)) | (~v2_cat_1(A!0)) | (~v2_cat_1(k11_cat_2(B!1, C!2))) | (~l1_cat_1(k11_cat_2(B!1, C!2))) | (~((~v1_cat_1(k12_nattra_1(A!0, k11_cat_2(B!1, C!2)))) | (~v2_cat_1(k12_nattra_1(A!0, k11_cat_2(B!1, C!2)))) | (~l1_cat_1(k12_nattra_1(A!0, k11_cat_2(B!1, C!2))))))),
% 0.63/0.69      inference(modus_ponens,[status(thm)],[75, 74])).
% 0.63/0.69  tff(77,plain,
% 0.63/0.69      ((~v2_cat_1(k11_cat_2(B!1, C!2))) | (~l1_cat_1(k11_cat_2(B!1, C!2))) | (~((~v1_cat_1(k12_nattra_1(A!0, k11_cat_2(B!1, C!2)))) | (~v2_cat_1(k12_nattra_1(A!0, k11_cat_2(B!1, C!2)))) | (~l1_cat_1(k12_nattra_1(A!0, k11_cat_2(B!1, C!2))))))),
% 0.63/0.69      inference(unit_resolution,[status(thm)],[76, 67, 66, 65])).
% 0.63/0.69  tff(78,plain,
% 0.63/0.69      (~((~v1_cat_1(k12_nattra_1(A!0, k11_cat_2(B!1, C!2)))) | (~v2_cat_1(k12_nattra_1(A!0, k11_cat_2(B!1, C!2)))) | (~l1_cat_1(k12_nattra_1(A!0, k11_cat_2(B!1, C!2)))))),
% 0.63/0.69      inference(unit_resolution,[status(thm)],[77, 52, 50])).
% 0.63/0.69  tff(79,plain,
% 0.63/0.69      (((~v1_cat_1(k12_nattra_1(A!0, k11_cat_2(B!1, C!2)))) | (~v2_cat_1(k12_nattra_1(A!0, k11_cat_2(B!1, C!2)))) | (~l1_cat_1(k12_nattra_1(A!0, k11_cat_2(B!1, C!2))))) | l1_cat_1(k12_nattra_1(A!0, k11_cat_2(B!1, C!2)))),
% 0.63/0.69      inference(tautology,[status(thm)],[])).
% 0.63/0.69  tff(80,plain,
% 0.63/0.69      (l1_cat_1(k12_nattra_1(A!0, k11_cat_2(B!1, C!2)))),
% 0.63/0.69      inference(unit_resolution,[status(thm)],[79, 78])).
% 0.63/0.69  tff(81,plain,
% 0.63/0.69      (((~v1_cat_1(k12_nattra_1(A!0, k11_cat_2(B!1, C!2)))) | (~v2_cat_1(k12_nattra_1(A!0, k11_cat_2(B!1, C!2)))) | (~l1_cat_1(k12_nattra_1(A!0, k11_cat_2(B!1, C!2))))) | v2_cat_1(k12_nattra_1(A!0, k11_cat_2(B!1, C!2)))),
% 0.63/0.69      inference(tautology,[status(thm)],[])).
% 0.63/0.69  tff(82,plain,
% 0.63/0.69      (v2_cat_1(k12_nattra_1(A!0, k11_cat_2(B!1, C!2)))),
% 0.63/0.69      inference(unit_resolution,[status(thm)],[81, 78])).
% 0.63/0.69  tff(83,plain,
% 0.63/0.69      (^[A: $i] : refl(((~l1_cat_1(A)) | (~v2_cat_1(A)) | ![B: $i] : ((~l1_cat_1(B)) | (~v2_cat_1(B)) | (~((~((~r1_isocat_1(A, B)) | (~((~m2_cat_1(tptp_fun_C_3(B, A), A, B)) | (~v8_cat_1(tptp_fun_C_3(B, A), A, B)))))) | (~(r1_isocat_1(A, B) | ![C: $i] : ((~m2_cat_1(C, A, B)) | (~v8_cat_1(C, A, B))))))))) <=> ((~l1_cat_1(A)) | (~v2_cat_1(A)) | ![B: $i] : ((~l1_cat_1(B)) | (~v2_cat_1(B)) | (~((~((~r1_isocat_1(A, B)) | (~((~m2_cat_1(tptp_fun_C_3(B, A), A, B)) | (~v8_cat_1(tptp_fun_C_3(B, A), A, B)))))) | (~(r1_isocat_1(A, B) | ![C: $i] : ((~m2_cat_1(C, A, B)) | (~v8_cat_1(C, A, B))))))))))),
% 0.63/0.69      inference(bind,[status(th)],[])).
% 0.63/0.69  tff(84,plain,
% 0.63/0.69      (![A: $i] : ((~l1_cat_1(A)) | (~v2_cat_1(A)) | ![B: $i] : ((~l1_cat_1(B)) | (~v2_cat_1(B)) | (~((~((~r1_isocat_1(A, B)) | (~((~m2_cat_1(tptp_fun_C_3(B, A), A, B)) | (~v8_cat_1(tptp_fun_C_3(B, A), A, B)))))) | (~(r1_isocat_1(A, B) | ![C: $i] : ((~m2_cat_1(C, A, B)) | (~v8_cat_1(C, A, B))))))))) <=> ![A: $i] : ((~l1_cat_1(A)) | (~v2_cat_1(A)) | ![B: $i] : ((~l1_cat_1(B)) | (~v2_cat_1(B)) | (~((~((~r1_isocat_1(A, B)) | (~((~m2_cat_1(tptp_fun_C_3(B, A), A, B)) | (~v8_cat_1(tptp_fun_C_3(B, A), A, B)))))) | (~(r1_isocat_1(A, B) | ![C: $i] : ((~m2_cat_1(C, A, B)) | (~v8_cat_1(C, A, B)))))))))),
% 0.63/0.69      inference(quant_intro,[status(thm)],[83])).
% 0.63/0.69  tff(85,plain,
% 0.63/0.69      (^[A: $i] : rewrite(((~l1_cat_1(A)) | (~v2_cat_1(A)) | ![B: $i] : ((~l1_cat_1(B)) | (~v2_cat_1(B)) | (~((~((~r1_isocat_1(A, B)) | (~((~m2_cat_1(tptp_fun_C_3(B, A), A, B)) | (~v8_cat_1(tptp_fun_C_3(B, A), A, B)))))) | (~(r1_isocat_1(A, B) | ![C: $i] : ((~m2_cat_1(C, A, B)) | (~v8_cat_1(C, A, B))))))))) <=> ((~l1_cat_1(A)) | (~v2_cat_1(A)) | ![B: $i] : ((~l1_cat_1(B)) | (~v2_cat_1(B)) | (~((~((~r1_isocat_1(A, B)) | (~((~m2_cat_1(tptp_fun_C_3(B, A), A, B)) | (~v8_cat_1(tptp_fun_C_3(B, A), A, B)))))) | (~(r1_isocat_1(A, B) | ![C: $i] : ((~m2_cat_1(C, A, B)) | (~v8_cat_1(C, A, B))))))))))),
% 0.63/0.69      inference(bind,[status(th)],[])).
% 0.63/0.69  tff(86,plain,
% 0.63/0.69      (![A: $i] : ((~l1_cat_1(A)) | (~v2_cat_1(A)) | ![B: $i] : ((~l1_cat_1(B)) | (~v2_cat_1(B)) | (~((~((~r1_isocat_1(A, B)) | (~((~m2_cat_1(tptp_fun_C_3(B, A), A, B)) | (~v8_cat_1(tptp_fun_C_3(B, A), A, B)))))) | (~(r1_isocat_1(A, B) | ![C: $i] : ((~m2_cat_1(C, A, B)) | (~v8_cat_1(C, A, B))))))))) <=> ![A: $i] : ((~l1_cat_1(A)) | (~v2_cat_1(A)) | ![B: $i] : ((~l1_cat_1(B)) | (~v2_cat_1(B)) | (~((~((~r1_isocat_1(A, B)) | (~((~m2_cat_1(tptp_fun_C_3(B, A), A, B)) | (~v8_cat_1(tptp_fun_C_3(B, A), A, B)))))) | (~(r1_isocat_1(A, B) | ![C: $i] : ((~m2_cat_1(C, A, B)) | (~v8_cat_1(C, A, B)))))))))),
% 0.63/0.69      inference(quant_intro,[status(thm)],[85])).
% 0.63/0.69  tff(87,plain,
% 0.63/0.69      (![A: $i] : ((~l1_cat_1(A)) | (~v2_cat_1(A)) | ![B: $i] : ((~l1_cat_1(B)) | (~v2_cat_1(B)) | (~((~((~r1_isocat_1(A, B)) | (~((~m2_cat_1(tptp_fun_C_3(B, A), A, B)) | (~v8_cat_1(tptp_fun_C_3(B, A), A, B)))))) | (~(r1_isocat_1(A, B) | ![C: $i] : ((~m2_cat_1(C, A, B)) | (~v8_cat_1(C, A, B))))))))) <=> ![A: $i] : ((~l1_cat_1(A)) | (~v2_cat_1(A)) | ![B: $i] : ((~l1_cat_1(B)) | (~v2_cat_1(B)) | (~((~((~r1_isocat_1(A, B)) | (~((~m2_cat_1(tptp_fun_C_3(B, A), A, B)) | (~v8_cat_1(tptp_fun_C_3(B, A), A, B)))))) | (~(r1_isocat_1(A, B) | ![C: $i] : ((~m2_cat_1(C, A, B)) | (~v8_cat_1(C, A, B)))))))))),
% 0.63/0.69      inference(transitivity,[status(thm)],[86, 84])).
% 0.63/0.69  tff(88,plain,
% 0.63/0.69      (^[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))))), trans(monotonicity(rewrite(((~r1_isocat_1(A, B)) | (m2_cat_1(tptp_fun_C_3(B, A), A, B) & v8_cat_1(tptp_fun_C_3(B, A), A, B))) <=> ((~r1_isocat_1(A, B)) | (~((~m2_cat_1(tptp_fun_C_3(B, A), A, B)) | (~v8_cat_1(tptp_fun_C_3(B, A), A, B)))))), rewrite((r1_isocat_1(A, B) | ![C: $i] : (~(m2_cat_1(C, A, B) & v8_cat_1(C, A, B)))) <=> (r1_isocat_1(A, B) | ![C: $i] : ((~m2_cat_1(C, A, B)) | (~v8_cat_1(C, A, B))))), ((((~r1_isocat_1(A, B)) | (m2_cat_1(tptp_fun_C_3(B, A), A, B) & v8_cat_1(tptp_fun_C_3(B, A), A, B))) & (r1_isocat_1(A, B) | ![C: $i] : (~(m2_cat_1(C, A, B) & v8_cat_1(C, A, B))))) <=> (((~r1_isocat_1(A, B)) | (~((~m2_cat_1(tptp_fun_C_3(B, A), A, B)) | (~v8_cat_1(tptp_fun_C_3(B, A), A, B))))) & (r1_isocat_1(A, B) | ![C: $i] : ((~m2_cat_1(C, A, B)) | (~v8_cat_1(C, A, B))))))), rewrite((((~r1_isocat_1(A, B)) | (~((~m2_cat_1(tptp_fun_C_3(B, A), A, B)) | (~v8_cat_1(tptp_fun_C_3(B, A), A, B))))) & (r1_isocat_1(A, B) | ![C: $i] : ((~m2_cat_1(C, A, B)) | (~v8_cat_1(C, A, B))))) <=> (~((~((~r1_isocat_1(A, B)) | (~((~m2_cat_1(tptp_fun_C_3(B, A), A, B)) | (~v8_cat_1(tptp_fun_C_3(B, A), A, B)))))) | (~(r1_isocat_1(A, B) | ![C: $i] : ((~m2_cat_1(C, A, B)) | (~v8_cat_1(C, A, B)))))))), ((((~r1_isocat_1(A, B)) | (m2_cat_1(tptp_fun_C_3(B, A), A, B) & v8_cat_1(tptp_fun_C_3(B, A), A, B))) & (r1_isocat_1(A, B) | ![C: $i] : (~(m2_cat_1(C, A, B) & v8_cat_1(C, A, B))))) <=> (~((~((~r1_isocat_1(A, B)) | (~((~m2_cat_1(tptp_fun_C_3(B, A), A, B)) | (~v8_cat_1(tptp_fun_C_3(B, A), A, B)))))) | (~(r1_isocat_1(A, B) | ![C: $i] : ((~m2_cat_1(C, A, B)) | (~v8_cat_1(C, A, B))))))))), (((~(v2_cat_1(B) & l1_cat_1(B))) | (((~r1_isocat_1(A, B)) | (m2_cat_1(tptp_fun_C_3(B, A), A, B) & v8_cat_1(tptp_fun_C_3(B, A), A, B))) & (r1_isocat_1(A, B) | ![C: $i] : (~(m2_cat_1(C, A, B) & v8_cat_1(C, A, B)))))) <=> (((~l1_cat_1(B)) | (~v2_cat_1(B))) | (~((~((~r1_isocat_1(A, B)) | (~((~m2_cat_1(tptp_fun_C_3(B, A), A, B)) | (~v8_cat_1(tptp_fun_C_3(B, A), A, B)))))) | (~(r1_isocat_1(A, B) | ![C: $i] : ((~m2_cat_1(C, A, B)) | (~v8_cat_1(C, A, B)))))))))), rewrite((((~l1_cat_1(B)) | (~v2_cat_1(B))) | (~((~((~r1_isocat_1(A, B)) | (~((~m2_cat_1(tptp_fun_C_3(B, A), A, B)) | (~v8_cat_1(tptp_fun_C_3(B, A), A, B)))))) | (~(r1_isocat_1(A, B) | ![C: $i] : ((~m2_cat_1(C, A, B)) | (~v8_cat_1(C, A, B)))))))) <=> ((~l1_cat_1(B)) | (~v2_cat_1(B)) | (~((~((~r1_isocat_1(A, B)) | (~((~m2_cat_1(tptp_fun_C_3(B, A), A, B)) | (~v8_cat_1(tptp_fun_C_3(B, A), A, B)))))) | (~(r1_isocat_1(A, B) | ![C: $i] : ((~m2_cat_1(C, A, B)) | (~v8_cat_1(C, A, B))))))))), (((~(v2_cat_1(B) & l1_cat_1(B))) | (((~r1_isocat_1(A, B)) | (m2_cat_1(tptp_fun_C_3(B, A), A, B) & v8_cat_1(tptp_fun_C_3(B, A), A, B))) & (r1_isocat_1(A, B) | ![C: $i] : (~(m2_cat_1(C, A, B) & v8_cat_1(C, A, B)))))) <=> ((~l1_cat_1(B)) | (~v2_cat_1(B)) | (~((~((~r1_isocat_1(A, B)) | (~((~m2_cat_1(tptp_fun_C_3(B, A), A, B)) | (~v8_cat_1(tptp_fun_C_3(B, A), A, B)))))) | (~(r1_isocat_1(A, B) | ![C: $i] : ((~m2_cat_1(C, A, B)) | (~v8_cat_1(C, A, B))))))))))), (![B: $i] : ((~(v2_cat_1(B) & l1_cat_1(B))) | (((~r1_isocat_1(A, B)) | (m2_cat_1(tptp_fun_C_3(B, A), A, B) & v8_cat_1(tptp_fun_C_3(B, A), A, B))) & (r1_isocat_1(A, B) | ![C: $i] : (~(m2_cat_1(C, A, B) & v8_cat_1(C, A, B)))))) <=> ![B: $i] : ((~l1_cat_1(B)) | (~v2_cat_1(B)) | (~((~((~r1_isocat_1(A, B)) | (~((~m2_cat_1(tptp_fun_C_3(B, A), A, B)) | (~v8_cat_1(tptp_fun_C_3(B, A), A, B)))))) | (~(r1_isocat_1(A, B) | ![C: $i] : ((~m2_cat_1(C, A, B)) | (~v8_cat_1(C, A, B)))))))))), (((~(v2_cat_1(A) & l1_cat_1(A))) | ![B: $i] : ((~(v2_cat_1(B) & l1_cat_1(B))) | (((~r1_isocat_1(A, B)) | (m2_cat_1(tptp_fun_C_3(B, A), A, B) & v8_cat_1(tptp_fun_C_3(B, A), A, B))) & (r1_isocat_1(A, B) | ![C: $i] : (~(m2_cat_1(C, A, B) & v8_cat_1(C, A, B))))))) <=> (((~l1_cat_1(A)) | (~v2_cat_1(A))) | ![B: $i] : ((~l1_cat_1(B)) | (~v2_cat_1(B)) | (~((~((~r1_isocat_1(A, B)) | (~((~m2_cat_1(tptp_fun_C_3(B, A), A, B)) | (~v8_cat_1(tptp_fun_C_3(B, A), A, B)))))) | (~(r1_isocat_1(A, B) | ![C: $i] : ((~m2_cat_1(C, A, B)) | (~v8_cat_1(C, A, B))))))))))), rewrite((((~l1_cat_1(A)) | (~v2_cat_1(A))) | ![B: $i] : ((~l1_cat_1(B)) | (~v2_cat_1(B)) | (~((~((~r1_isocat_1(A, B)) | (~((~m2_cat_1(tptp_fun_C_3(B, A), A, B)) | (~v8_cat_1(tptp_fun_C_3(B, A), A, B)))))) | (~(r1_isocat_1(A, B) | ![C: $i] : ((~m2_cat_1(C, A, B)) | (~v8_cat_1(C, A, B))))))))) <=> ((~l1_cat_1(A)) | (~v2_cat_1(A)) | ![B: $i] : ((~l1_cat_1(B)) | (~v2_cat_1(B)) | (~((~((~r1_isocat_1(A, B)) | (~((~m2_cat_1(tptp_fun_C_3(B, A), A, B)) | (~v8_cat_1(tptp_fun_C_3(B, A), A, B)))))) | (~(r1_isocat_1(A, B) | ![C: $i] : ((~m2_cat_1(C, A, B)) | (~v8_cat_1(C, A, B)))))))))), (((~(v2_cat_1(A) & l1_cat_1(A))) | ![B: $i] : ((~(v2_cat_1(B) & l1_cat_1(B))) | (((~r1_isocat_1(A, B)) | (m2_cat_1(tptp_fun_C_3(B, A), A, B) & v8_cat_1(tptp_fun_C_3(B, A), A, B))) & (r1_isocat_1(A, B) | ![C: $i] : (~(m2_cat_1(C, A, B) & v8_cat_1(C, A, B))))))) <=> ((~l1_cat_1(A)) | (~v2_cat_1(A)) | ![B: $i] : ((~l1_cat_1(B)) | (~v2_cat_1(B)) | (~((~((~r1_isocat_1(A, B)) | (~((~m2_cat_1(tptp_fun_C_3(B, A), A, B)) | (~v8_cat_1(tptp_fun_C_3(B, A), A, B)))))) | (~(r1_isocat_1(A, B) | ![C: $i] : ((~m2_cat_1(C, A, B)) | (~v8_cat_1(C, A, B)))))))))))),
% 0.63/0.69      inference(bind,[status(th)],[])).
% 0.63/0.69  tff(89,plain,
% 0.63/0.69      (![A: $i] : ((~(v2_cat_1(A) & l1_cat_1(A))) | ![B: $i] : ((~(v2_cat_1(B) & l1_cat_1(B))) | (((~r1_isocat_1(A, B)) | (m2_cat_1(tptp_fun_C_3(B, A), A, B) & v8_cat_1(tptp_fun_C_3(B, A), A, B))) & (r1_isocat_1(A, B) | ![C: $i] : (~(m2_cat_1(C, A, B) & v8_cat_1(C, A, B))))))) <=> ![A: $i] : ((~l1_cat_1(A)) | (~v2_cat_1(A)) | ![B: $i] : ((~l1_cat_1(B)) | (~v2_cat_1(B)) | (~((~((~r1_isocat_1(A, B)) | (~((~m2_cat_1(tptp_fun_C_3(B, A), A, B)) | (~v8_cat_1(tptp_fun_C_3(B, A), A, B)))))) | (~(r1_isocat_1(A, B) | ![C: $i] : ((~m2_cat_1(C, A, B)) | (~v8_cat_1(C, A, B)))))))))),
% 0.63/0.69      inference(quant_intro,[status(thm)],[88])).
% 0.63/0.69  tff(90,plain,
% 0.63/0.69      (![A: $i] : ((~(v2_cat_1(A) & l1_cat_1(A))) | ![B: $i] : ((~(v2_cat_1(B) & l1_cat_1(B))) | (r1_isocat_1(A, B) <=> ?[C: $i] : (m2_cat_1(C, A, B) & v8_cat_1(C, A, B))))) <=> ![A: $i] : ((~(v2_cat_1(A) & l1_cat_1(A))) | ![B: $i] : ((~(v2_cat_1(B) & l1_cat_1(B))) | (r1_isocat_1(A, B) <=> ?[C: $i] : (m2_cat_1(C, A, B) & v8_cat_1(C, A, B)))))),
% 0.63/0.69      inference(rewrite,[status(thm)],[])).
% 0.63/0.69  tff(91,plain,
% 0.63/0.69      (^[A: $i] : trans(monotonicity(quant_intro(proof_bind(^[B: $i] : trans(monotonicity(rewrite((r1_isocat_1(A, B) <=> ?[C: $i] : (m2_cat_1(C, A, B) & v8_cat_1(C, A, B))) <=> (r1_isocat_1(A, B) <=> ?[C: $i] : (m2_cat_1(C, A, B) & v8_cat_1(C, A, B)))), (((v2_cat_1(B) & l1_cat_1(B)) => (r1_isocat_1(A, B) <=> ?[C: $i] : (m2_cat_1(C, A, B) & v8_cat_1(C, A, B)))) <=> ((v2_cat_1(B) & l1_cat_1(B)) => (r1_isocat_1(A, B) <=> ?[C: $i] : (m2_cat_1(C, A, B) & v8_cat_1(C, A, B)))))), rewrite(((v2_cat_1(B) & l1_cat_1(B)) => (r1_isocat_1(A, B) <=> ?[C: $i] : (m2_cat_1(C, A, B) & v8_cat_1(C, A, B)))) <=> ((~(v2_cat_1(B) & l1_cat_1(B))) | (r1_isocat_1(A, B) <=> ?[C: $i] : (m2_cat_1(C, A, B) & v8_cat_1(C, A, B))))), (((v2_cat_1(B) & l1_cat_1(B)) => (r1_isocat_1(A, B) <=> ?[C: $i] : (m2_cat_1(C, A, B) & v8_cat_1(C, A, B)))) <=> ((~(v2_cat_1(B) & l1_cat_1(B))) | (r1_isocat_1(A, B) <=> ?[C: $i] : (m2_cat_1(C, A, B) & v8_cat_1(C, A, B))))))), (![B: $i] : ((v2_cat_1(B) & l1_cat_1(B)) => (r1_isocat_1(A, B) <=> ?[C: $i] : (m2_cat_1(C, A, B) & v8_cat_1(C, A, B)))) <=> ![B: $i] : ((~(v2_cat_1(B) & l1_cat_1(B))) | (r1_isocat_1(A, B) <=> ?[C: $i] : (m2_cat_1(C, A, B) & v8_cat_1(C, A, B)))))), (((v2_cat_1(A) & l1_cat_1(A)) => ![B: $i] : ((v2_cat_1(B) & l1_cat_1(B)) => (r1_isocat_1(A, B) <=> ?[C: $i] : (m2_cat_1(C, A, B) & v8_cat_1(C, A, B))))) <=> ((v2_cat_1(A) & l1_cat_1(A)) => ![B: $i] : ((~(v2_cat_1(B) & l1_cat_1(B))) | (r1_isocat_1(A, B) <=> ?[C: $i] : (m2_cat_1(C, A, B) & v8_cat_1(C, A, B))))))), rewrite(((v2_cat_1(A) & l1_cat_1(A)) => ![B: $i] : ((~(v2_cat_1(B) & l1_cat_1(B))) | (r1_isocat_1(A, B) <=> ?[C: $i] : (m2_cat_1(C, A, B) & v8_cat_1(C, A, B))))) <=> ((~(v2_cat_1(A) & l1_cat_1(A))) | ![B: $i] : ((~(v2_cat_1(B) & l1_cat_1(B))) | (r1_isocat_1(A, B) <=> ?[C: $i] : (m2_cat_1(C, A, B) & v8_cat_1(C, A, B)))))), (((v2_cat_1(A) & l1_cat_1(A)) => ![B: $i] : ((v2_cat_1(B) & l1_cat_1(B)) => (r1_isocat_1(A, B) <=> ?[C: $i] : (m2_cat_1(C, A, B) & v8_cat_1(C, A, B))))) <=> ((~(v2_cat_1(A) & l1_cat_1(A))) | ![B: $i] : ((~(v2_cat_1(B) & l1_cat_1(B))) | (r1_isocat_1(A, B) <=> ?[C: $i] : (m2_cat_1(C, A, B) & v8_cat_1(C, A, B)))))))),
% 0.63/0.69      inference(bind,[status(th)],[])).
% 0.63/0.69  tff(92,plain,
% 0.63/0.69      (![A: $i] : ((v2_cat_1(A) & l1_cat_1(A)) => ![B: $i] : ((v2_cat_1(B) & l1_cat_1(B)) => (r1_isocat_1(A, B) <=> ?[C: $i] : (m2_cat_1(C, A, B) & v8_cat_1(C, A, B))))) <=> ![A: $i] : ((~(v2_cat_1(A) & l1_cat_1(A))) | ![B: $i] : ((~(v2_cat_1(B) & l1_cat_1(B))) | (r1_isocat_1(A, B) <=> ?[C: $i] : (m2_cat_1(C, A, B) & v8_cat_1(C, A, B)))))),
% 0.63/0.69      inference(quant_intro,[status(thm)],[91])).
% 0.63/0.69  tff(93,axiom,(![A: $i] : ((v2_cat_1(A) & l1_cat_1(A)) => ![B: $i] : ((v2_cat_1(B) & l1_cat_1(B)) => (r1_isocat_1(A, B) <=> ?[C: $i] : (m2_cat_1(C, A, B) & v8_cat_1(C, A, B)))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','d4_isocat_1')).
% 0.63/0.69  tff(94,plain,
% 0.63/0.69      (![A: $i] : ((~(v2_cat_1(A) & l1_cat_1(A))) | ![B: $i] : ((~(v2_cat_1(B) & l1_cat_1(B))) | (r1_isocat_1(A, B) <=> ?[C: $i] : (m2_cat_1(C, A, B) & v8_cat_1(C, A, B)))))),
% 0.63/0.69      inference(modus_ponens,[status(thm)],[93, 92])).
% 0.63/0.69  tff(95,plain,
% 0.63/0.69      (![A: $i] : ((~(v2_cat_1(A) & l1_cat_1(A))) | ![B: $i] : ((~(v2_cat_1(B) & l1_cat_1(B))) | (r1_isocat_1(A, B) <=> ?[C: $i] : (m2_cat_1(C, A, B) & v8_cat_1(C, A, B)))))),
% 0.63/0.69      inference(modus_ponens,[status(thm)],[94, 90])).
% 0.63/0.69  tff(96,plain,(
% 0.63/0.69      ![A: $i] : ((~(v2_cat_1(A) & l1_cat_1(A))) | ![B: $i] : ((~(v2_cat_1(B) & l1_cat_1(B))) | (((~r1_isocat_1(A, B)) | (m2_cat_1(tptp_fun_C_3(B, A), A, B) & v8_cat_1(tptp_fun_C_3(B, A), A, B))) & (r1_isocat_1(A, B) | ![C: $i] : (~(m2_cat_1(C, A, B) & v8_cat_1(C, A, B)))))))),
% 0.63/0.69      inference(skolemize,[status(sab)],[95])).
% 0.63/0.69  tff(97,plain,
% 0.63/0.69      (![A: $i] : ((~l1_cat_1(A)) | (~v2_cat_1(A)) | ![B: $i] : ((~l1_cat_1(B)) | (~v2_cat_1(B)) | (~((~((~r1_isocat_1(A, B)) | (~((~m2_cat_1(tptp_fun_C_3(B, A), A, B)) | (~v8_cat_1(tptp_fun_C_3(B, A), A, B)))))) | (~(r1_isocat_1(A, B) | ![C: $i] : ((~m2_cat_1(C, A, B)) | (~v8_cat_1(C, A, B)))))))))),
% 0.63/0.69      inference(modus_ponens,[status(thm)],[96, 89])).
% 0.63/0.69  tff(98,plain,
% 0.63/0.69      (![A: $i] : ((~l1_cat_1(A)) | (~v2_cat_1(A)) | ![B: $i] : ((~l1_cat_1(B)) | (~v2_cat_1(B)) | (~((~((~r1_isocat_1(A, B)) | (~((~m2_cat_1(tptp_fun_C_3(B, A), A, B)) | (~v8_cat_1(tptp_fun_C_3(B, A), A, B)))))) | (~(r1_isocat_1(A, B) | ![C: $i] : ((~m2_cat_1(C, A, B)) | (~v8_cat_1(C, A, B)))))))))),
% 0.63/0.69      inference(modus_ponens,[status(thm)],[97, 87])).
% 0.63/0.69  tff(99,plain,
% 0.63/0.69      (((~![A: $i] : ((~l1_cat_1(A)) | (~v2_cat_1(A)) | ![B: $i] : ((~l1_cat_1(B)) | (~v2_cat_1(B)) | (~((~((~r1_isocat_1(A, B)) | (~((~m2_cat_1(tptp_fun_C_3(B, A), A, B)) | (~v8_cat_1(tptp_fun_C_3(B, A), A, B)))))) | (~(r1_isocat_1(A, B) | ![C: $i] : ((~m2_cat_1(C, A, B)) | (~v8_cat_1(C, A, B)))))))))) | ((~l1_cat_1(k12_nattra_1(A!0, k11_cat_2(B!1, C!2)))) | (~v2_cat_1(k12_nattra_1(A!0, k11_cat_2(B!1, C!2)))) | ![B: $i] : ((~l1_cat_1(B)) | (~v2_cat_1(B)) | (~((~((~r1_isocat_1(k12_nattra_1(A!0, k11_cat_2(B!1, C!2)), B)) | (~((~m2_cat_1(tptp_fun_C_3(B, k12_nattra_1(A!0, k11_cat_2(B!1, C!2))), k12_nattra_1(A!0, k11_cat_2(B!1, C!2)), B)) | (~v8_cat_1(tptp_fun_C_3(B, k12_nattra_1(A!0, k11_cat_2(B!1, C!2))), k12_nattra_1(A!0, k11_cat_2(B!1, C!2)), B)))))) | (~(r1_isocat_1(k12_nattra_1(A!0, k11_cat_2(B!1, C!2)), B) | ![C: $i] : ((~m2_cat_1(C, k12_nattra_1(A!0, k11_cat_2(B!1, C!2)), B)) | (~v8_cat_1(C, k12_nattra_1(A!0, k11_cat_2(B!1, C!2)), B)))))))))) <=> ((~![A: $i] : ((~l1_cat_1(A)) | (~v2_cat_1(A)) | ![B: $i] : ((~l1_cat_1(B)) | (~v2_cat_1(B)) | (~((~((~r1_isocat_1(A, B)) | (~((~m2_cat_1(tptp_fun_C_3(B, A), A, B)) | (~v8_cat_1(tptp_fun_C_3(B, A), A, B)))))) | (~(r1_isocat_1(A, B) | ![C: $i] : ((~m2_cat_1(C, A, B)) | (~v8_cat_1(C, A, B)))))))))) | (~l1_cat_1(k12_nattra_1(A!0, k11_cat_2(B!1, C!2)))) | (~v2_cat_1(k12_nattra_1(A!0, k11_cat_2(B!1, C!2)))) | ![B: $i] : ((~l1_cat_1(B)) | (~v2_cat_1(B)) | (~((~((~r1_isocat_1(k12_nattra_1(A!0, k11_cat_2(B!1, C!2)), B)) | (~((~m2_cat_1(tptp_fun_C_3(B, k12_nattra_1(A!0, k11_cat_2(B!1, C!2))), k12_nattra_1(A!0, k11_cat_2(B!1, C!2)), B)) | (~v8_cat_1(tptp_fun_C_3(B, k12_nattra_1(A!0, k11_cat_2(B!1, C!2))), k12_nattra_1(A!0, k11_cat_2(B!1, C!2)), B)))))) | (~(r1_isocat_1(k12_nattra_1(A!0, k11_cat_2(B!1, C!2)), B) | ![C: $i] : ((~m2_cat_1(C, k12_nattra_1(A!0, k11_cat_2(B!1, C!2)), B)) | (~v8_cat_1(C, k12_nattra_1(A!0, k11_cat_2(B!1, C!2)), B)))))))))),
% 0.63/0.69      inference(rewrite,[status(thm)],[])).
% 0.63/0.69  tff(100,plain,
% 0.63/0.69      ((~![A: $i] : ((~l1_cat_1(A)) | (~v2_cat_1(A)) | ![B: $i] : ((~l1_cat_1(B)) | (~v2_cat_1(B)) | (~((~((~r1_isocat_1(A, B)) | (~((~m2_cat_1(tptp_fun_C_3(B, A), A, B)) | (~v8_cat_1(tptp_fun_C_3(B, A), A, B)))))) | (~(r1_isocat_1(A, B) | ![C: $i] : ((~m2_cat_1(C, A, B)) | (~v8_cat_1(C, A, B)))))))))) | ((~l1_cat_1(k12_nattra_1(A!0, k11_cat_2(B!1, C!2)))) | (~v2_cat_1(k12_nattra_1(A!0, k11_cat_2(B!1, C!2)))) | ![B: $i] : ((~l1_cat_1(B)) | (~v2_cat_1(B)) | (~((~((~r1_isocat_1(k12_nattra_1(A!0, k11_cat_2(B!1, C!2)), B)) | (~((~m2_cat_1(tptp_fun_C_3(B, k12_nattra_1(A!0, k11_cat_2(B!1, C!2))), k12_nattra_1(A!0, k11_cat_2(B!1, C!2)), B)) | (~v8_cat_1(tptp_fun_C_3(B, k12_nattra_1(A!0, k11_cat_2(B!1, C!2))), k12_nattra_1(A!0, k11_cat_2(B!1, C!2)), B)))))) | (~(r1_isocat_1(k12_nattra_1(A!0, k11_cat_2(B!1, C!2)), B) | ![C: $i] : ((~m2_cat_1(C, k12_nattra_1(A!0, k11_cat_2(B!1, C!2)), B)) | (~v8_cat_1(C, k12_nattra_1(A!0, k11_cat_2(B!1, C!2)), B)))))))))),
% 0.63/0.69      inference(quant_inst,[status(thm)],[])).
% 0.63/0.69  tff(101,plain,
% 0.63/0.69      ((~![A: $i] : ((~l1_cat_1(A)) | (~v2_cat_1(A)) | ![B: $i] : ((~l1_cat_1(B)) | (~v2_cat_1(B)) | (~((~((~r1_isocat_1(A, B)) | (~((~m2_cat_1(tptp_fun_C_3(B, A), A, B)) | (~v8_cat_1(tptp_fun_C_3(B, A), A, B)))))) | (~(r1_isocat_1(A, B) | ![C: $i] : ((~m2_cat_1(C, A, B)) | (~v8_cat_1(C, A, B)))))))))) | (~l1_cat_1(k12_nattra_1(A!0, k11_cat_2(B!1, C!2)))) | (~v2_cat_1(k12_nattra_1(A!0, k11_cat_2(B!1, C!2)))) | ![B: $i] : ((~l1_cat_1(B)) | (~v2_cat_1(B)) | (~((~((~r1_isocat_1(k12_nattra_1(A!0, k11_cat_2(B!1, C!2)), B)) | (~((~m2_cat_1(tptp_fun_C_3(B, k12_nattra_1(A!0, k11_cat_2(B!1, C!2))), k12_nattra_1(A!0, k11_cat_2(B!1, C!2)), B)) | (~v8_cat_1(tptp_fun_C_3(B, k12_nattra_1(A!0, k11_cat_2(B!1, C!2))), k12_nattra_1(A!0, k11_cat_2(B!1, C!2)), B)))))) | (~(r1_isocat_1(k12_nattra_1(A!0, k11_cat_2(B!1, C!2)), B) | ![C: $i] : ((~m2_cat_1(C, k12_nattra_1(A!0, k11_cat_2(B!1, C!2)), B)) | (~v8_cat_1(C, k12_nattra_1(A!0, k11_cat_2(B!1, C!2)), B))))))))),
% 0.63/0.69      inference(modus_ponens,[status(thm)],[100, 99])).
% 0.63/0.69  tff(102,plain,
% 0.63/0.69      (![B: $i] : ((~l1_cat_1(B)) | (~v2_cat_1(B)) | (~((~((~r1_isocat_1(k12_nattra_1(A!0, k11_cat_2(B!1, C!2)), B)) | (~((~m2_cat_1(tptp_fun_C_3(B, k12_nattra_1(A!0, k11_cat_2(B!1, C!2))), k12_nattra_1(A!0, k11_cat_2(B!1, C!2)), B)) | (~v8_cat_1(tptp_fun_C_3(B, k12_nattra_1(A!0, k11_cat_2(B!1, C!2))), k12_nattra_1(A!0, k11_cat_2(B!1, C!2)), B)))))) | (~(r1_isocat_1(k12_nattra_1(A!0, k11_cat_2(B!1, C!2)), B) | ![C: $i] : ((~m2_cat_1(C, k12_nattra_1(A!0, k11_cat_2(B!1, C!2)), B)) | (~v8_cat_1(C, k12_nattra_1(A!0, k11_cat_2(B!1, C!2)), B))))))))),
% 0.63/0.69      inference(unit_resolution,[status(thm)],[101, 98, 82, 80])).
% 0.63/0.69  tff(103,plain,
% 0.63/0.69      (((~![A: $i, B: $i] : ((~l1_cat_1(B)) | (~v2_cat_1(B)) | (~v2_cat_1(A)) | (~l1_cat_1(A)) | (~((~v1_cat_1(k12_nattra_1(A, B))) | (~v2_cat_1(k12_nattra_1(A, B))) | (~l1_cat_1(k12_nattra_1(A, B))))))) | ((~l1_cat_1(A!0)) | (~v2_cat_1(A!0)) | (~v2_cat_1(C!2)) | (~l1_cat_1(C!2)) | (~((~l1_cat_1(k12_nattra_1(A!0, C!2))) | (~v2_cat_1(k12_nattra_1(A!0, C!2))) | (~v1_cat_1(k12_nattra_1(A!0, C!2))))))) <=> ((~![A: $i, B: $i] : ((~l1_cat_1(B)) | (~v2_cat_1(B)) | (~v2_cat_1(A)) | (~l1_cat_1(A)) | (~((~v1_cat_1(k12_nattra_1(A, B))) | (~v2_cat_1(k12_nattra_1(A, B))) | (~l1_cat_1(k12_nattra_1(A, B))))))) | (~l1_cat_1(A!0)) | (~v2_cat_1(A!0)) | (~v2_cat_1(C!2)) | (~l1_cat_1(C!2)) | (~((~l1_cat_1(k12_nattra_1(A!0, C!2))) | (~v2_cat_1(k12_nattra_1(A!0, C!2))) | (~v1_cat_1(k12_nattra_1(A!0, C!2))))))),
% 0.63/0.69      inference(rewrite,[status(thm)],[])).
% 0.63/0.69  tff(104,plain,
% 0.63/0.69      (((~l1_cat_1(C!2)) | (~v2_cat_1(C!2)) | (~v2_cat_1(A!0)) | (~l1_cat_1(A!0)) | (~((~l1_cat_1(k12_nattra_1(A!0, C!2))) | (~v2_cat_1(k12_nattra_1(A!0, C!2))) | (~v1_cat_1(k12_nattra_1(A!0, C!2)))))) <=> ((~l1_cat_1(A!0)) | (~v2_cat_1(A!0)) | (~v2_cat_1(C!2)) | (~l1_cat_1(C!2)) | (~((~l1_cat_1(k12_nattra_1(A!0, C!2))) | (~v2_cat_1(k12_nattra_1(A!0, C!2))) | (~v1_cat_1(k12_nattra_1(A!0, C!2))))))),
% 0.63/0.69      inference(rewrite,[status(thm)],[])).
% 0.63/0.69  tff(105,plain,
% 0.63/0.69      ((~((~v1_cat_1(k12_nattra_1(A!0, C!2))) | (~v2_cat_1(k12_nattra_1(A!0, C!2))) | (~l1_cat_1(k12_nattra_1(A!0, C!2))))) <=> (~((~l1_cat_1(k12_nattra_1(A!0, C!2))) | (~v2_cat_1(k12_nattra_1(A!0, C!2))) | (~v1_cat_1(k12_nattra_1(A!0, C!2)))))),
% 0.63/0.69      inference(rewrite,[status(thm)],[])).
% 0.63/0.69  tff(106,plain,
% 0.63/0.69      (((~l1_cat_1(C!2)) | (~v2_cat_1(C!2)) | (~v2_cat_1(A!0)) | (~l1_cat_1(A!0)) | (~((~v1_cat_1(k12_nattra_1(A!0, C!2))) | (~v2_cat_1(k12_nattra_1(A!0, C!2))) | (~l1_cat_1(k12_nattra_1(A!0, C!2)))))) <=> ((~l1_cat_1(C!2)) | (~v2_cat_1(C!2)) | (~v2_cat_1(A!0)) | (~l1_cat_1(A!0)) | (~((~l1_cat_1(k12_nattra_1(A!0, C!2))) | (~v2_cat_1(k12_nattra_1(A!0, C!2))) | (~v1_cat_1(k12_nattra_1(A!0, C!2))))))),
% 0.63/0.69      inference(monotonicity,[status(thm)],[105])).
% 0.63/0.69  tff(107,plain,
% 0.63/0.69      (((~l1_cat_1(C!2)) | (~v2_cat_1(C!2)) | (~v2_cat_1(A!0)) | (~l1_cat_1(A!0)) | (~((~v1_cat_1(k12_nattra_1(A!0, C!2))) | (~v2_cat_1(k12_nattra_1(A!0, C!2))) | (~l1_cat_1(k12_nattra_1(A!0, C!2)))))) <=> ((~l1_cat_1(A!0)) | (~v2_cat_1(A!0)) | (~v2_cat_1(C!2)) | (~l1_cat_1(C!2)) | (~((~l1_cat_1(k12_nattra_1(A!0, C!2))) | (~v2_cat_1(k12_nattra_1(A!0, C!2))) | (~v1_cat_1(k12_nattra_1(A!0, C!2))))))),
% 0.63/0.69      inference(transitivity,[status(thm)],[106, 104])).
% 0.63/0.69  tff(108,plain,
% 0.63/0.69      (((~![A: $i, B: $i] : ((~l1_cat_1(B)) | (~v2_cat_1(B)) | (~v2_cat_1(A)) | (~l1_cat_1(A)) | (~((~v1_cat_1(k12_nattra_1(A, B))) | (~v2_cat_1(k12_nattra_1(A, B))) | (~l1_cat_1(k12_nattra_1(A, B))))))) | ((~l1_cat_1(C!2)) | (~v2_cat_1(C!2)) | (~v2_cat_1(A!0)) | (~l1_cat_1(A!0)) | (~((~v1_cat_1(k12_nattra_1(A!0, C!2))) | (~v2_cat_1(k12_nattra_1(A!0, C!2))) | (~l1_cat_1(k12_nattra_1(A!0, C!2))))))) <=> ((~![A: $i, B: $i] : ((~l1_cat_1(B)) | (~v2_cat_1(B)) | (~v2_cat_1(A)) | (~l1_cat_1(A)) | (~((~v1_cat_1(k12_nattra_1(A, B))) | (~v2_cat_1(k12_nattra_1(A, B))) | (~l1_cat_1(k12_nattra_1(A, B))))))) | ((~l1_cat_1(A!0)) | (~v2_cat_1(A!0)) | (~v2_cat_1(C!2)) | (~l1_cat_1(C!2)) | (~((~l1_cat_1(k12_nattra_1(A!0, C!2))) | (~v2_cat_1(k12_nattra_1(A!0, C!2))) | (~v1_cat_1(k12_nattra_1(A!0, C!2)))))))),
% 0.63/0.69      inference(monotonicity,[status(thm)],[107])).
% 0.63/0.69  tff(109,plain,
% 0.63/0.69      (((~![A: $i, B: $i] : ((~l1_cat_1(B)) | (~v2_cat_1(B)) | (~v2_cat_1(A)) | (~l1_cat_1(A)) | (~((~v1_cat_1(k12_nattra_1(A, B))) | (~v2_cat_1(k12_nattra_1(A, B))) | (~l1_cat_1(k12_nattra_1(A, B))))))) | ((~l1_cat_1(C!2)) | (~v2_cat_1(C!2)) | (~v2_cat_1(A!0)) | (~l1_cat_1(A!0)) | (~((~v1_cat_1(k12_nattra_1(A!0, C!2))) | (~v2_cat_1(k12_nattra_1(A!0, C!2))) | (~l1_cat_1(k12_nattra_1(A!0, C!2))))))) <=> ((~![A: $i, B: $i] : ((~l1_cat_1(B)) | (~v2_cat_1(B)) | (~v2_cat_1(A)) | (~l1_cat_1(A)) | (~((~v1_cat_1(k12_nattra_1(A, B))) | (~v2_cat_1(k12_nattra_1(A, B))) | (~l1_cat_1(k12_nattra_1(A, B))))))) | (~l1_cat_1(A!0)) | (~v2_cat_1(A!0)) | (~v2_cat_1(C!2)) | (~l1_cat_1(C!2)) | (~((~l1_cat_1(k12_nattra_1(A!0, C!2))) | (~v2_cat_1(k12_nattra_1(A!0, C!2))) | (~v1_cat_1(k12_nattra_1(A!0, C!2))))))),
% 0.63/0.69      inference(transitivity,[status(thm)],[108, 103])).
% 0.63/0.69  tff(110,plain,
% 0.63/0.69      ((~![A: $i, B: $i] : ((~l1_cat_1(B)) | (~v2_cat_1(B)) | (~v2_cat_1(A)) | (~l1_cat_1(A)) | (~((~v1_cat_1(k12_nattra_1(A, B))) | (~v2_cat_1(k12_nattra_1(A, B))) | (~l1_cat_1(k12_nattra_1(A, B))))))) | ((~l1_cat_1(C!2)) | (~v2_cat_1(C!2)) | (~v2_cat_1(A!0)) | (~l1_cat_1(A!0)) | (~((~v1_cat_1(k12_nattra_1(A!0, C!2))) | (~v2_cat_1(k12_nattra_1(A!0, C!2))) | (~l1_cat_1(k12_nattra_1(A!0, C!2))))))),
% 0.63/0.69      inference(quant_inst,[status(thm)],[])).
% 0.63/0.69  tff(111,plain,
% 0.63/0.69      ((~![A: $i, B: $i] : ((~l1_cat_1(B)) | (~v2_cat_1(B)) | (~v2_cat_1(A)) | (~l1_cat_1(A)) | (~((~v1_cat_1(k12_nattra_1(A, B))) | (~v2_cat_1(k12_nattra_1(A, B))) | (~l1_cat_1(k12_nattra_1(A, B))))))) | (~l1_cat_1(A!0)) | (~v2_cat_1(A!0)) | (~v2_cat_1(C!2)) | (~l1_cat_1(C!2)) | (~((~l1_cat_1(k12_nattra_1(A!0, C!2))) | (~v2_cat_1(k12_nattra_1(A!0, C!2))) | (~v1_cat_1(k12_nattra_1(A!0, C!2)))))),
% 0.63/0.69      inference(modus_ponens,[status(thm)],[110, 109])).
% 0.63/0.69  tff(112,plain,
% 0.63/0.69      (~((~l1_cat_1(k12_nattra_1(A!0, C!2))) | (~v2_cat_1(k12_nattra_1(A!0, C!2))) | (~v1_cat_1(k12_nattra_1(A!0, C!2))))),
% 0.63/0.69      inference(unit_resolution,[status(thm)],[111, 67, 66, 36, 35, 65])).
% 0.63/0.69  tff(113,plain,
% 0.63/0.69      (((~l1_cat_1(k12_nattra_1(A!0, C!2))) | (~v2_cat_1(k12_nattra_1(A!0, C!2))) | (~v1_cat_1(k12_nattra_1(A!0, C!2)))) | l1_cat_1(k12_nattra_1(A!0, C!2))),
% 0.63/0.69      inference(tautology,[status(thm)],[])).
% 0.63/0.69  tff(114,plain,
% 0.63/0.69      (l1_cat_1(k12_nattra_1(A!0, C!2))),
% 0.63/0.69      inference(unit_resolution,[status(thm)],[113, 112])).
% 0.63/0.69  tff(115,plain,
% 0.63/0.69      (((~![A: $i, B: $i] : ((~l1_cat_1(B)) | (~v2_cat_1(B)) | (~v2_cat_1(A)) | (~l1_cat_1(A)) | (~((~v1_cat_1(k12_nattra_1(A, B))) | (~v2_cat_1(k12_nattra_1(A, B))) | (~l1_cat_1(k12_nattra_1(A, B))))))) | ((~l1_cat_1(A!0)) | (~v2_cat_1(A!0)) | (~v2_cat_1(B!1)) | (~l1_cat_1(B!1)) | (~((~v2_cat_1(k12_nattra_1(A!0, B!1))) | (~l1_cat_1(k12_nattra_1(A!0, B!1))) | (~v1_cat_1(k12_nattra_1(A!0, B!1))))))) <=> ((~![A: $i, B: $i] : ((~l1_cat_1(B)) | (~v2_cat_1(B)) | (~v2_cat_1(A)) | (~l1_cat_1(A)) | (~((~v1_cat_1(k12_nattra_1(A, B))) | (~v2_cat_1(k12_nattra_1(A, B))) | (~l1_cat_1(k12_nattra_1(A, B))))))) | (~l1_cat_1(A!0)) | (~v2_cat_1(A!0)) | (~v2_cat_1(B!1)) | (~l1_cat_1(B!1)) | (~((~v2_cat_1(k12_nattra_1(A!0, B!1))) | (~l1_cat_1(k12_nattra_1(A!0, B!1))) | (~v1_cat_1(k12_nattra_1(A!0, B!1))))))),
% 0.63/0.69      inference(rewrite,[status(thm)],[])).
% 0.63/0.69  tff(116,plain,
% 0.63/0.69      (((~l1_cat_1(B!1)) | (~v2_cat_1(B!1)) | (~v2_cat_1(A!0)) | (~l1_cat_1(A!0)) | (~((~v2_cat_1(k12_nattra_1(A!0, B!1))) | (~l1_cat_1(k12_nattra_1(A!0, B!1))) | (~v1_cat_1(k12_nattra_1(A!0, B!1)))))) <=> ((~l1_cat_1(A!0)) | (~v2_cat_1(A!0)) | (~v2_cat_1(B!1)) | (~l1_cat_1(B!1)) | (~((~v2_cat_1(k12_nattra_1(A!0, B!1))) | (~l1_cat_1(k12_nattra_1(A!0, B!1))) | (~v1_cat_1(k12_nattra_1(A!0, B!1))))))),
% 0.63/0.69      inference(rewrite,[status(thm)],[])).
% 0.63/0.69  tff(117,plain,
% 0.63/0.69      ((~((~v1_cat_1(k12_nattra_1(A!0, B!1))) | (~v2_cat_1(k12_nattra_1(A!0, B!1))) | (~l1_cat_1(k12_nattra_1(A!0, B!1))))) <=> (~((~v2_cat_1(k12_nattra_1(A!0, B!1))) | (~l1_cat_1(k12_nattra_1(A!0, B!1))) | (~v1_cat_1(k12_nattra_1(A!0, B!1)))))),
% 0.63/0.69      inference(rewrite,[status(thm)],[])).
% 0.63/0.69  tff(118,plain,
% 0.63/0.69      (((~l1_cat_1(B!1)) | (~v2_cat_1(B!1)) | (~v2_cat_1(A!0)) | (~l1_cat_1(A!0)) | (~((~v1_cat_1(k12_nattra_1(A!0, B!1))) | (~v2_cat_1(k12_nattra_1(A!0, B!1))) | (~l1_cat_1(k12_nattra_1(A!0, B!1)))))) <=> ((~l1_cat_1(B!1)) | (~v2_cat_1(B!1)) | (~v2_cat_1(A!0)) | (~l1_cat_1(A!0)) | (~((~v2_cat_1(k12_nattra_1(A!0, B!1))) | (~l1_cat_1(k12_nattra_1(A!0, B!1))) | (~v1_cat_1(k12_nattra_1(A!0, B!1))))))),
% 0.63/0.69      inference(monotonicity,[status(thm)],[117])).
% 0.63/0.69  tff(119,plain,
% 0.63/0.69      (((~l1_cat_1(B!1)) | (~v2_cat_1(B!1)) | (~v2_cat_1(A!0)) | (~l1_cat_1(A!0)) | (~((~v1_cat_1(k12_nattra_1(A!0, B!1))) | (~v2_cat_1(k12_nattra_1(A!0, B!1))) | (~l1_cat_1(k12_nattra_1(A!0, B!1)))))) <=> ((~l1_cat_1(A!0)) | (~v2_cat_1(A!0)) | (~v2_cat_1(B!1)) | (~l1_cat_1(B!1)) | (~((~v2_cat_1(k12_nattra_1(A!0, B!1))) | (~l1_cat_1(k12_nattra_1(A!0, B!1))) | (~v1_cat_1(k12_nattra_1(A!0, B!1))))))),
% 0.63/0.69      inference(transitivity,[status(thm)],[118, 116])).
% 0.63/0.69  tff(120,plain,
% 0.63/0.69      (((~![A: $i, B: $i] : ((~l1_cat_1(B)) | (~v2_cat_1(B)) | (~v2_cat_1(A)) | (~l1_cat_1(A)) | (~((~v1_cat_1(k12_nattra_1(A, B))) | (~v2_cat_1(k12_nattra_1(A, B))) | (~l1_cat_1(k12_nattra_1(A, B))))))) | ((~l1_cat_1(B!1)) | (~v2_cat_1(B!1)) | (~v2_cat_1(A!0)) | (~l1_cat_1(A!0)) | (~((~v1_cat_1(k12_nattra_1(A!0, B!1))) | (~v2_cat_1(k12_nattra_1(A!0, B!1))) | (~l1_cat_1(k12_nattra_1(A!0, B!1))))))) <=> ((~![A: $i, B: $i] : ((~l1_cat_1(B)) | (~v2_cat_1(B)) | (~v2_cat_1(A)) | (~l1_cat_1(A)) | (~((~v1_cat_1(k12_nattra_1(A, B))) | (~v2_cat_1(k12_nattra_1(A, B))) | (~l1_cat_1(k12_nattra_1(A, B))))))) | ((~l1_cat_1(A!0)) | (~v2_cat_1(A!0)) | (~v2_cat_1(B!1)) | (~l1_cat_1(B!1)) | (~((~v2_cat_1(k12_nattra_1(A!0, B!1))) | (~l1_cat_1(k12_nattra_1(A!0, B!1))) | (~v1_cat_1(k12_nattra_1(A!0, B!1)))))))),
% 0.63/0.69      inference(monotonicity,[status(thm)],[119])).
% 0.63/0.69  tff(121,plain,
% 0.63/0.69      (((~![A: $i, B: $i] : ((~l1_cat_1(B)) | (~v2_cat_1(B)) | (~v2_cat_1(A)) | (~l1_cat_1(A)) | (~((~v1_cat_1(k12_nattra_1(A, B))) | (~v2_cat_1(k12_nattra_1(A, B))) | (~l1_cat_1(k12_nattra_1(A, B))))))) | ((~l1_cat_1(B!1)) | (~v2_cat_1(B!1)) | (~v2_cat_1(A!0)) | (~l1_cat_1(A!0)) | (~((~v1_cat_1(k12_nattra_1(A!0, B!1))) | (~v2_cat_1(k12_nattra_1(A!0, B!1))) | (~l1_cat_1(k12_nattra_1(A!0, B!1))))))) <=> ((~![A: $i, B: $i] : ((~l1_cat_1(B)) | (~v2_cat_1(B)) | (~v2_cat_1(A)) | (~l1_cat_1(A)) | (~((~v1_cat_1(k12_nattra_1(A, B))) | (~v2_cat_1(k12_nattra_1(A, B))) | (~l1_cat_1(k12_nattra_1(A, B))))))) | (~l1_cat_1(A!0)) | (~v2_cat_1(A!0)) | (~v2_cat_1(B!1)) | (~l1_cat_1(B!1)) | (~((~v2_cat_1(k12_nattra_1(A!0, B!1))) | (~l1_cat_1(k12_nattra_1(A!0, B!1))) | (~v1_cat_1(k12_nattra_1(A!0, B!1))))))),
% 0.63/0.69      inference(transitivity,[status(thm)],[120, 115])).
% 0.63/0.69  tff(122,plain,
% 0.63/0.69      ((~![A: $i, B: $i] : ((~l1_cat_1(B)) | (~v2_cat_1(B)) | (~v2_cat_1(A)) | (~l1_cat_1(A)) | (~((~v1_cat_1(k12_nattra_1(A, B))) | (~v2_cat_1(k12_nattra_1(A, B))) | (~l1_cat_1(k12_nattra_1(A, B))))))) | ((~l1_cat_1(B!1)) | (~v2_cat_1(B!1)) | (~v2_cat_1(A!0)) | (~l1_cat_1(A!0)) | (~((~v1_cat_1(k12_nattra_1(A!0, B!1))) | (~v2_cat_1(k12_nattra_1(A!0, B!1))) | (~l1_cat_1(k12_nattra_1(A!0, B!1))))))),
% 0.63/0.69      inference(quant_inst,[status(thm)],[])).
% 0.63/0.69  tff(123,plain,
% 0.63/0.69      ((~![A: $i, B: $i] : ((~l1_cat_1(B)) | (~v2_cat_1(B)) | (~v2_cat_1(A)) | (~l1_cat_1(A)) | (~((~v1_cat_1(k12_nattra_1(A, B))) | (~v2_cat_1(k12_nattra_1(A, B))) | (~l1_cat_1(k12_nattra_1(A, B))))))) | (~l1_cat_1(A!0)) | (~v2_cat_1(A!0)) | (~v2_cat_1(B!1)) | (~l1_cat_1(B!1)) | (~((~v2_cat_1(k12_nattra_1(A!0, B!1))) | (~l1_cat_1(k12_nattra_1(A!0, B!1))) | (~v1_cat_1(k12_nattra_1(A!0, B!1)))))),
% 0.63/0.69      inference(modus_ponens,[status(thm)],[122, 121])).
% 0.63/0.69  tff(124,plain,
% 0.63/0.69      (~((~v2_cat_1(k12_nattra_1(A!0, B!1))) | (~l1_cat_1(k12_nattra_1(A!0, B!1))) | (~v1_cat_1(k12_nattra_1(A!0, B!1))))),
% 0.63/0.69      inference(unit_resolution,[status(thm)],[123, 67, 66, 38, 37, 65])).
% 0.63/0.69  tff(125,plain,
% 0.63/0.69      (((~v2_cat_1(k12_nattra_1(A!0, B!1))) | (~l1_cat_1(k12_nattra_1(A!0, B!1))) | (~v1_cat_1(k12_nattra_1(A!0, B!1)))) | l1_cat_1(k12_nattra_1(A!0, B!1))),
% 0.63/0.70      inference(tautology,[status(thm)],[])).
% 0.63/0.70  tff(126,plain,
% 0.63/0.70      (l1_cat_1(k12_nattra_1(A!0, B!1))),
% 0.63/0.70      inference(unit_resolution,[status(thm)],[125, 124])).
% 0.63/0.70  tff(127,plain,
% 0.63/0.70      (((~v2_cat_1(k12_nattra_1(A!0, B!1))) | (~l1_cat_1(k12_nattra_1(A!0, B!1))) | (~v1_cat_1(k12_nattra_1(A!0, B!1)))) | v2_cat_1(k12_nattra_1(A!0, B!1))),
% 0.63/0.70      inference(tautology,[status(thm)],[])).
% 0.63/0.70  tff(128,plain,
% 0.63/0.70      (v2_cat_1(k12_nattra_1(A!0, B!1))),
% 0.63/0.70      inference(unit_resolution,[status(thm)],[127, 124])).
% 0.63/0.70  tff(129,plain,
% 0.63/0.70      (((~l1_cat_1(k12_nattra_1(A!0, C!2))) | (~v2_cat_1(k12_nattra_1(A!0, C!2))) | (~v1_cat_1(k12_nattra_1(A!0, C!2)))) | v2_cat_1(k12_nattra_1(A!0, C!2))),
% 0.63/0.70      inference(tautology,[status(thm)],[])).
% 0.63/0.70  tff(130,plain,
% 0.63/0.70      (v2_cat_1(k12_nattra_1(A!0, C!2))),
% 0.63/0.70      inference(unit_resolution,[status(thm)],[129, 112])).
% 0.63/0.70  tff(131,plain,
% 0.63/0.70      (((~![A: $i, B: $i] : ((~l1_cat_1(B)) | (~v2_cat_1(B)) | (~v2_cat_1(A)) | (~l1_cat_1(A)) | (~((~v2_cat_1(k11_cat_2(A, B))) | (~l1_cat_1(k11_cat_2(A, B))))))) | ((~l1_cat_1(k12_nattra_1(A!0, C!2))) | (~v2_cat_1(k12_nattra_1(A!0, C!2))) | (~v2_cat_1(k12_nattra_1(A!0, B!1))) | (~l1_cat_1(k12_nattra_1(A!0, B!1))) | (~((~v2_cat_1(k11_cat_2(k12_nattra_1(A!0, B!1), k12_nattra_1(A!0, C!2)))) | (~l1_cat_1(k11_cat_2(k12_nattra_1(A!0, B!1), k12_nattra_1(A!0, C!2)))))))) <=> ((~![A: $i, B: $i] : ((~l1_cat_1(B)) | (~v2_cat_1(B)) | (~v2_cat_1(A)) | (~l1_cat_1(A)) | (~((~v2_cat_1(k11_cat_2(A, B))) | (~l1_cat_1(k11_cat_2(A, B))))))) | (~l1_cat_1(k12_nattra_1(A!0, C!2))) | (~v2_cat_1(k12_nattra_1(A!0, C!2))) | (~v2_cat_1(k12_nattra_1(A!0, B!1))) | (~l1_cat_1(k12_nattra_1(A!0, B!1))) | (~((~v2_cat_1(k11_cat_2(k12_nattra_1(A!0, B!1), k12_nattra_1(A!0, C!2)))) | (~l1_cat_1(k11_cat_2(k12_nattra_1(A!0, B!1), k12_nattra_1(A!0, C!2)))))))),
% 0.63/0.70      inference(rewrite,[status(thm)],[])).
% 0.63/0.70  tff(132,plain,
% 0.63/0.70      ((~![A: $i, B: $i] : ((~l1_cat_1(B)) | (~v2_cat_1(B)) | (~v2_cat_1(A)) | (~l1_cat_1(A)) | (~((~v2_cat_1(k11_cat_2(A, B))) | (~l1_cat_1(k11_cat_2(A, B))))))) | ((~l1_cat_1(k12_nattra_1(A!0, C!2))) | (~v2_cat_1(k12_nattra_1(A!0, C!2))) | (~v2_cat_1(k12_nattra_1(A!0, B!1))) | (~l1_cat_1(k12_nattra_1(A!0, B!1))) | (~((~v2_cat_1(k11_cat_2(k12_nattra_1(A!0, B!1), k12_nattra_1(A!0, C!2)))) | (~l1_cat_1(k11_cat_2(k12_nattra_1(A!0, B!1), k12_nattra_1(A!0, C!2)))))))),
% 0.63/0.70      inference(quant_inst,[status(thm)],[])).
% 0.63/0.70  tff(133,plain,
% 0.63/0.70      ((~![A: $i, B: $i] : ((~l1_cat_1(B)) | (~v2_cat_1(B)) | (~v2_cat_1(A)) | (~l1_cat_1(A)) | (~((~v2_cat_1(k11_cat_2(A, B))) | (~l1_cat_1(k11_cat_2(A, B))))))) | (~l1_cat_1(k12_nattra_1(A!0, C!2))) | (~v2_cat_1(k12_nattra_1(A!0, C!2))) | (~v2_cat_1(k12_nattra_1(A!0, B!1))) | (~l1_cat_1(k12_nattra_1(A!0, B!1))) | (~((~v2_cat_1(k11_cat_2(k12_nattra_1(A!0, B!1), k12_nattra_1(A!0, C!2)))) | (~l1_cat_1(k11_cat_2(k12_nattra_1(A!0, B!1), k12_nattra_1(A!0, C!2))))))),
% 0.63/0.70      inference(modus_ponens,[status(thm)],[132, 131])).
% 0.63/0.70  tff(134,plain,
% 0.63/0.70      ((~l1_cat_1(k12_nattra_1(A!0, C!2))) | (~v2_cat_1(k12_nattra_1(A!0, C!2))) | (~v2_cat_1(k12_nattra_1(A!0, B!1))) | (~l1_cat_1(k12_nattra_1(A!0, B!1))) | (~((~v2_cat_1(k11_cat_2(k12_nattra_1(A!0, B!1), k12_nattra_1(A!0, C!2)))) | (~l1_cat_1(k11_cat_2(k12_nattra_1(A!0, B!1), k12_nattra_1(A!0, C!2))))))),
% 0.63/0.70      inference(unit_resolution,[status(thm)],[133, 13])).
% 0.63/0.70  tff(135,plain,
% 0.63/0.70      (~((~v2_cat_1(k11_cat_2(k12_nattra_1(A!0, B!1), k12_nattra_1(A!0, C!2)))) | (~l1_cat_1(k11_cat_2(k12_nattra_1(A!0, B!1), k12_nattra_1(A!0, C!2)))))),
% 0.63/0.70      inference(unit_resolution,[status(thm)],[134, 130, 128, 126, 114])).
% 0.63/0.70  tff(136,plain,
% 0.63/0.70      (((~v2_cat_1(k11_cat_2(k12_nattra_1(A!0, B!1), k12_nattra_1(A!0, C!2)))) | (~l1_cat_1(k11_cat_2(k12_nattra_1(A!0, B!1), k12_nattra_1(A!0, C!2))))) | l1_cat_1(k11_cat_2(k12_nattra_1(A!0, B!1), k12_nattra_1(A!0, C!2)))),
% 0.63/0.70      inference(tautology,[status(thm)],[])).
% 0.63/0.70  tff(137,plain,
% 0.63/0.70      (l1_cat_1(k11_cat_2(k12_nattra_1(A!0, B!1), k12_nattra_1(A!0, C!2)))),
% 0.63/0.70      inference(unit_resolution,[status(thm)],[136, 135])).
% 0.63/0.70  tff(138,plain,
% 0.63/0.70      (((~v2_cat_1(k11_cat_2(k12_nattra_1(A!0, B!1), k12_nattra_1(A!0, C!2)))) | (~l1_cat_1(k11_cat_2(k12_nattra_1(A!0, B!1), k12_nattra_1(A!0, C!2))))) | v2_cat_1(k11_cat_2(k12_nattra_1(A!0, B!1), k12_nattra_1(A!0, C!2)))),
% 0.63/0.70      inference(tautology,[status(thm)],[])).
% 0.63/0.70  tff(139,plain,
% 0.63/0.70      (v2_cat_1(k11_cat_2(k12_nattra_1(A!0, B!1), k12_nattra_1(A!0, C!2)))),
% 0.63/0.70      inference(unit_resolution,[status(thm)],[138, 135])).
% 0.63/0.70  tff(140,plain,
% 0.63/0.70      (((~![B: $i] : ((~l1_cat_1(B)) | (~v2_cat_1(B)) | (~((~((~r1_isocat_1(k12_nattra_1(A!0, k11_cat_2(B!1, C!2)), B)) | (~((~m2_cat_1(tptp_fun_C_3(B, k12_nattra_1(A!0, k11_cat_2(B!1, C!2))), k12_nattra_1(A!0, k11_cat_2(B!1, C!2)), B)) | (~v8_cat_1(tptp_fun_C_3(B, k12_nattra_1(A!0, k11_cat_2(B!1, C!2))), k12_nattra_1(A!0, k11_cat_2(B!1, C!2)), B)))))) | (~(r1_isocat_1(k12_nattra_1(A!0, k11_cat_2(B!1, C!2)), B) | ![C: $i] : ((~m2_cat_1(C, k12_nattra_1(A!0, k11_cat_2(B!1, C!2)), B)) | (~v8_cat_1(C, k12_nattra_1(A!0, k11_cat_2(B!1, C!2)), B))))))))) | ((~l1_cat_1(k11_cat_2(k12_nattra_1(A!0, B!1), k12_nattra_1(A!0, C!2)))) | (~v2_cat_1(k11_cat_2(k12_nattra_1(A!0, B!1), k12_nattra_1(A!0, C!2)))) | (~((~((~r1_isocat_1(k12_nattra_1(A!0, k11_cat_2(B!1, C!2)), k11_cat_2(k12_nattra_1(A!0, B!1), k12_nattra_1(A!0, C!2)))) | (~((~m2_cat_1(tptp_fun_C_3(k11_cat_2(k12_nattra_1(A!0, B!1), k12_nattra_1(A!0, C!2)), k12_nattra_1(A!0, k11_cat_2(B!1, C!2))), k12_nattra_1(A!0, k11_cat_2(B!1, C!2)), k11_cat_2(k12_nattra_1(A!0, B!1), k12_nattra_1(A!0, C!2)))) | (~v8_cat_1(tptp_fun_C_3(k11_cat_2(k12_nattra_1(A!0, B!1), k12_nattra_1(A!0, C!2)), k12_nattra_1(A!0, k11_cat_2(B!1, C!2))), k12_nattra_1(A!0, k11_cat_2(B!1, C!2)), k11_cat_2(k12_nattra_1(A!0, B!1), k12_nattra_1(A!0, C!2)))))))) | (~(r1_isocat_1(k12_nattra_1(A!0, k11_cat_2(B!1, C!2)), k11_cat_2(k12_nattra_1(A!0, B!1), k12_nattra_1(A!0, C!2))) | ![C: $i] : ((~m2_cat_1(C, k12_nattra_1(A!0, k11_cat_2(B!1, C!2)), k11_cat_2(k12_nattra_1(A!0, B!1), k12_nattra_1(A!0, C!2)))) | (~v8_cat_1(C, k12_nattra_1(A!0, k11_cat_2(B!1, C!2)), k11_cat_2(k12_nattra_1(A!0, B!1), k12_nattra_1(A!0, C!2))))))))))) <=> ((~![B: $i] : ((~l1_cat_1(B)) | (~v2_cat_1(B)) | (~((~((~r1_isocat_1(k12_nattra_1(A!0, k11_cat_2(B!1, C!2)), B)) | (~((~m2_cat_1(tptp_fun_C_3(B, k12_nattra_1(A!0, k11_cat_2(B!1, C!2))), k12_nattra_1(A!0, k11_cat_2(B!1, C!2)), B)) | (~v8_cat_1(tptp_fun_C_3(B, k12_nattra_1(A!0, k11_cat_2(B!1, C!2))), k12_nattra_1(A!0, k11_cat_2(B!1, C!2)), B)))))) | (~(r1_isocat_1(k12_nattra_1(A!0, k11_cat_2(B!1, C!2)), B) | ![C: $i] : ((~m2_cat_1(C, k12_nattra_1(A!0, k11_cat_2(B!1, C!2)), B)) | (~v8_cat_1(C, k12_nattra_1(A!0, k11_cat_2(B!1, C!2)), B))))))))) | (~l1_cat_1(k11_cat_2(k12_nattra_1(A!0, B!1), k12_nattra_1(A!0, C!2)))) | (~v2_cat_1(k11_cat_2(k12_nattra_1(A!0, B!1), k12_nattra_1(A!0, C!2)))) | (~((~((~r1_isocat_1(k12_nattra_1(A!0, k11_cat_2(B!1, C!2)), k11_cat_2(k12_nattra_1(A!0, B!1), k12_nattra_1(A!0, C!2)))) | (~((~m2_cat_1(tptp_fun_C_3(k11_cat_2(k12_nattra_1(A!0, B!1), k12_nattra_1(A!0, C!2)), k12_nattra_1(A!0, k11_cat_2(B!1, C!2))), k12_nattra_1(A!0, k11_cat_2(B!1, C!2)), k11_cat_2(k12_nattra_1(A!0, B!1), k12_nattra_1(A!0, C!2)))) | (~v8_cat_1(tptp_fun_C_3(k11_cat_2(k12_nattra_1(A!0, B!1), k12_nattra_1(A!0, C!2)), k12_nattra_1(A!0, k11_cat_2(B!1, C!2))), k12_nattra_1(A!0, k11_cat_2(B!1, C!2)), k11_cat_2(k12_nattra_1(A!0, B!1), k12_nattra_1(A!0, C!2)))))))) | (~(r1_isocat_1(k12_nattra_1(A!0, k11_cat_2(B!1, C!2)), k11_cat_2(k12_nattra_1(A!0, B!1), k12_nattra_1(A!0, C!2))) | ![C: $i] : ((~m2_cat_1(C, k12_nattra_1(A!0, k11_cat_2(B!1, C!2)), k11_cat_2(k12_nattra_1(A!0, B!1), k12_nattra_1(A!0, C!2)))) | (~v8_cat_1(C, k12_nattra_1(A!0, k11_cat_2(B!1, C!2)), k11_cat_2(k12_nattra_1(A!0, B!1), k12_nattra_1(A!0, C!2))))))))))),
% 0.63/0.70      inference(rewrite,[status(thm)],[])).
% 0.63/0.70  tff(141,plain,
% 0.63/0.70      ((~![B: $i] : ((~l1_cat_1(B)) | (~v2_cat_1(B)) | (~((~((~r1_isocat_1(k12_nattra_1(A!0, k11_cat_2(B!1, C!2)), B)) | (~((~m2_cat_1(tptp_fun_C_3(B, k12_nattra_1(A!0, k11_cat_2(B!1, C!2))), k12_nattra_1(A!0, k11_cat_2(B!1, C!2)), B)) | (~v8_cat_1(tptp_fun_C_3(B, k12_nattra_1(A!0, k11_cat_2(B!1, C!2))), k12_nattra_1(A!0, k11_cat_2(B!1, C!2)), B)))))) | (~(r1_isocat_1(k12_nattra_1(A!0, k11_cat_2(B!1, C!2)), B) | ![C: $i] : ((~m2_cat_1(C, k12_nattra_1(A!0, k11_cat_2(B!1, C!2)), B)) | (~v8_cat_1(C, k12_nattra_1(A!0, k11_cat_2(B!1, C!2)), B))))))))) | ((~l1_cat_1(k11_cat_2(k12_nattra_1(A!0, B!1), k12_nattra_1(A!0, C!2)))) | (~v2_cat_1(k11_cat_2(k12_nattra_1(A!0, B!1), k12_nattra_1(A!0, C!2)))) | (~((~((~r1_isocat_1(k12_nattra_1(A!0, k11_cat_2(B!1, C!2)), k11_cat_2(k12_nattra_1(A!0, B!1), k12_nattra_1(A!0, C!2)))) | (~((~m2_cat_1(tptp_fun_C_3(k11_cat_2(k12_nattra_1(A!0, B!1), k12_nattra_1(A!0, C!2)), k12_nattra_1(A!0, k11_cat_2(B!1, C!2))), k12_nattra_1(A!0, k11_cat_2(B!1, C!2)), k11_cat_2(k12_nattra_1(A!0, B!1), k12_nattra_1(A!0, C!2)))) | (~v8_cat_1(tptp_fun_C_3(k11_cat_2(k12_nattra_1(A!0, B!1), k12_nattra_1(A!0, C!2)), k12_nattra_1(A!0, k11_cat_2(B!1, C!2))), k12_nattra_1(A!0, k11_cat_2(B!1, C!2)), k11_cat_2(k12_nattra_1(A!0, B!1), k12_nattra_1(A!0, C!2)))))))) | (~(r1_isocat_1(k12_nattra_1(A!0, k11_cat_2(B!1, C!2)), k11_cat_2(k12_nattra_1(A!0, B!1), k12_nattra_1(A!0, C!2))) | ![C: $i] : ((~m2_cat_1(C, k12_nattra_1(A!0, k11_cat_2(B!1, C!2)), k11_cat_2(k12_nattra_1(A!0, B!1), k12_nattra_1(A!0, C!2)))) | (~v8_cat_1(C, k12_nattra_1(A!0, k11_cat_2(B!1, C!2)), k11_cat_2(k12_nattra_1(A!0, B!1), k12_nattra_1(A!0, C!2))))))))))),
% 0.63/0.70      inference(quant_inst,[status(thm)],[])).
% 0.63/0.70  tff(142,plain,
% 0.63/0.70      ((~![B: $i] : ((~l1_cat_1(B)) | (~v2_cat_1(B)) | (~((~((~r1_isocat_1(k12_nattra_1(A!0, k11_cat_2(B!1, C!2)), B)) | (~((~m2_cat_1(tptp_fun_C_3(B, k12_nattra_1(A!0, k11_cat_2(B!1, C!2))), k12_nattra_1(A!0, k11_cat_2(B!1, C!2)), B)) | (~v8_cat_1(tptp_fun_C_3(B, k12_nattra_1(A!0, k11_cat_2(B!1, C!2))), k12_nattra_1(A!0, k11_cat_2(B!1, C!2)), B)))))) | (~(r1_isocat_1(k12_nattra_1(A!0, k11_cat_2(B!1, C!2)), B) | ![C: $i] : ((~m2_cat_1(C, k12_nattra_1(A!0, k11_cat_2(B!1, C!2)), B)) | (~v8_cat_1(C, k12_nattra_1(A!0, k11_cat_2(B!1, C!2)), B))))))))) | (~l1_cat_1(k11_cat_2(k12_nattra_1(A!0, B!1), k12_nattra_1(A!0, C!2)))) | (~v2_cat_1(k11_cat_2(k12_nattra_1(A!0, B!1), k12_nattra_1(A!0, C!2)))) | (~((~((~r1_isocat_1(k12_nattra_1(A!0, k11_cat_2(B!1, C!2)), k11_cat_2(k12_nattra_1(A!0, B!1), k12_nattra_1(A!0, C!2)))) | (~((~m2_cat_1(tptp_fun_C_3(k11_cat_2(k12_nattra_1(A!0, B!1), k12_nattra_1(A!0, C!2)), k12_nattra_1(A!0, k11_cat_2(B!1, C!2))), k12_nattra_1(A!0, k11_cat_2(B!1, C!2)), k11_cat_2(k12_nattra_1(A!0, B!1), k12_nattra_1(A!0, C!2)))) | (~v8_cat_1(tptp_fun_C_3(k11_cat_2(k12_nattra_1(A!0, B!1), k12_nattra_1(A!0, C!2)), k12_nattra_1(A!0, k11_cat_2(B!1, C!2))), k12_nattra_1(A!0, k11_cat_2(B!1, C!2)), k11_cat_2(k12_nattra_1(A!0, B!1), k12_nattra_1(A!0, C!2)))))))) | (~(r1_isocat_1(k12_nattra_1(A!0, k11_cat_2(B!1, C!2)), k11_cat_2(k12_nattra_1(A!0, B!1), k12_nattra_1(A!0, C!2))) | ![C: $i] : ((~m2_cat_1(C, k12_nattra_1(A!0, k11_cat_2(B!1, C!2)), k11_cat_2(k12_nattra_1(A!0, B!1), k12_nattra_1(A!0, C!2)))) | (~v8_cat_1(C, k12_nattra_1(A!0, k11_cat_2(B!1, C!2)), k11_cat_2(k12_nattra_1(A!0, B!1), k12_nattra_1(A!0, C!2)))))))))),
% 0.63/0.70      inference(modus_ponens,[status(thm)],[141, 140])).
% 0.63/0.70  tff(143,plain,
% 0.63/0.70      (~((~((~r1_isocat_1(k12_nattra_1(A!0, k11_cat_2(B!1, C!2)), k11_cat_2(k12_nattra_1(A!0, B!1), k12_nattra_1(A!0, C!2)))) | (~((~m2_cat_1(tptp_fun_C_3(k11_cat_2(k12_nattra_1(A!0, B!1), k12_nattra_1(A!0, C!2)), k12_nattra_1(A!0, k11_cat_2(B!1, C!2))), k12_nattra_1(A!0, k11_cat_2(B!1, C!2)), k11_cat_2(k12_nattra_1(A!0, B!1), k12_nattra_1(A!0, C!2)))) | (~v8_cat_1(tptp_fun_C_3(k11_cat_2(k12_nattra_1(A!0, B!1), k12_nattra_1(A!0, C!2)), k12_nattra_1(A!0, k11_cat_2(B!1, C!2))), k12_nattra_1(A!0, k11_cat_2(B!1, C!2)), k11_cat_2(k12_nattra_1(A!0, B!1), k12_nattra_1(A!0, C!2)))))))) | (~(r1_isocat_1(k12_nattra_1(A!0, k11_cat_2(B!1, C!2)), k11_cat_2(k12_nattra_1(A!0, B!1), k12_nattra_1(A!0, C!2))) | ![C: $i] : ((~m2_cat_1(C, k12_nattra_1(A!0, k11_cat_2(B!1, C!2)), k11_cat_2(k12_nattra_1(A!0, B!1), k12_nattra_1(A!0, C!2)))) | (~v8_cat_1(C, k12_nattra_1(A!0, k11_cat_2(B!1, C!2)), k11_cat_2(k12_nattra_1(A!0, B!1), k12_nattra_1(A!0, C!2))))))))),
% 0.63/0.70      inference(unit_resolution,[status(thm)],[142, 139, 137, 102])).
% 0.63/0.70  tff(144,plain,
% 0.63/0.70      (((~((~r1_isocat_1(k12_nattra_1(A!0, k11_cat_2(B!1, C!2)), k11_cat_2(k12_nattra_1(A!0, B!1), k12_nattra_1(A!0, C!2)))) | (~((~m2_cat_1(tptp_fun_C_3(k11_cat_2(k12_nattra_1(A!0, B!1), k12_nattra_1(A!0, C!2)), k12_nattra_1(A!0, k11_cat_2(B!1, C!2))), k12_nattra_1(A!0, k11_cat_2(B!1, C!2)), k11_cat_2(k12_nattra_1(A!0, B!1), k12_nattra_1(A!0, C!2)))) | (~v8_cat_1(tptp_fun_C_3(k11_cat_2(k12_nattra_1(A!0, B!1), k12_nattra_1(A!0, C!2)), k12_nattra_1(A!0, k11_cat_2(B!1, C!2))), k12_nattra_1(A!0, k11_cat_2(B!1, C!2)), k11_cat_2(k12_nattra_1(A!0, B!1), k12_nattra_1(A!0, C!2)))))))) | (~(r1_isocat_1(k12_nattra_1(A!0, k11_cat_2(B!1, C!2)), k11_cat_2(k12_nattra_1(A!0, B!1), k12_nattra_1(A!0, C!2))) | ![C: $i] : ((~m2_cat_1(C, k12_nattra_1(A!0, k11_cat_2(B!1, C!2)), k11_cat_2(k12_nattra_1(A!0, B!1), k12_nattra_1(A!0, C!2)))) | (~v8_cat_1(C, k12_nattra_1(A!0, k11_cat_2(B!1, C!2)), k11_cat_2(k12_nattra_1(A!0, B!1), k12_nattra_1(A!0, C!2)))))))) | (r1_isocat_1(k12_nattra_1(A!0, k11_cat_2(B!1, C!2)), k11_cat_2(k12_nattra_1(A!0, B!1), k12_nattra_1(A!0, C!2))) | ![C: $i] : ((~m2_cat_1(C, k12_nattra_1(A!0, k11_cat_2(B!1, C!2)), k11_cat_2(k12_nattra_1(A!0, B!1), k12_nattra_1(A!0, C!2)))) | (~v8_cat_1(C, k12_nattra_1(A!0, k11_cat_2(B!1, C!2)), k11_cat_2(k12_nattra_1(A!0, B!1), k12_nattra_1(A!0, C!2))))))),
% 0.63/0.70      inference(tautology,[status(thm)],[])).
% 0.63/0.70  tff(145,plain,
% 0.63/0.70      (r1_isocat_1(k12_nattra_1(A!0, k11_cat_2(B!1, C!2)), k11_cat_2(k12_nattra_1(A!0, B!1), k12_nattra_1(A!0, C!2))) | ![C: $i] : ((~m2_cat_1(C, k12_nattra_1(A!0, k11_cat_2(B!1, C!2)), k11_cat_2(k12_nattra_1(A!0, B!1), k12_nattra_1(A!0, C!2)))) | (~v8_cat_1(C, k12_nattra_1(A!0, k11_cat_2(B!1, C!2)), k11_cat_2(k12_nattra_1(A!0, B!1), k12_nattra_1(A!0, C!2)))))),
% 0.63/0.70      inference(unit_resolution,[status(thm)],[144, 143])).
% 0.63/0.70  tff(146,plain,
% 0.63/0.70      (~r1_isocat_1(k12_nattra_1(A!0, k11_cat_2(B!1, C!2)), k11_cat_2(k12_nattra_1(A!0, B!1), k12_nattra_1(A!0, C!2)))),
% 0.63/0.70      inference(or_elim,[status(thm)],[33])).
% 0.63/0.70  tff(147,plain,
% 0.63/0.70      ((~(r1_isocat_1(k12_nattra_1(A!0, k11_cat_2(B!1, C!2)), k11_cat_2(k12_nattra_1(A!0, B!1), k12_nattra_1(A!0, C!2))) | ![C: $i] : ((~m2_cat_1(C, k12_nattra_1(A!0, k11_cat_2(B!1, C!2)), k11_cat_2(k12_nattra_1(A!0, B!1), k12_nattra_1(A!0, C!2)))) | (~v8_cat_1(C, k12_nattra_1(A!0, k11_cat_2(B!1, C!2)), k11_cat_2(k12_nattra_1(A!0, B!1), k12_nattra_1(A!0, C!2))))))) | r1_isocat_1(k12_nattra_1(A!0, k11_cat_2(B!1, C!2)), k11_cat_2(k12_nattra_1(A!0, B!1), k12_nattra_1(A!0, C!2))) | ![C: $i] : ((~m2_cat_1(C, k12_nattra_1(A!0, k11_cat_2(B!1, C!2)), k11_cat_2(k12_nattra_1(A!0, B!1), k12_nattra_1(A!0, C!2)))) | (~v8_cat_1(C, k12_nattra_1(A!0, k11_cat_2(B!1, C!2)), k11_cat_2(k12_nattra_1(A!0, B!1), k12_nattra_1(A!0, C!2)))))),
% 0.63/0.70      inference(tautology,[status(thm)],[])).
% 0.63/0.70  tff(148,plain,
% 0.63/0.70      ((~(r1_isocat_1(k12_nattra_1(A!0, k11_cat_2(B!1, C!2)), k11_cat_2(k12_nattra_1(A!0, B!1), k12_nattra_1(A!0, C!2))) | ![C: $i] : ((~m2_cat_1(C, k12_nattra_1(A!0, k11_cat_2(B!1, C!2)), k11_cat_2(k12_nattra_1(A!0, B!1), k12_nattra_1(A!0, C!2)))) | (~v8_cat_1(C, k12_nattra_1(A!0, k11_cat_2(B!1, C!2)), k11_cat_2(k12_nattra_1(A!0, B!1), k12_nattra_1(A!0, C!2))))))) | ![C: $i] : ((~m2_cat_1(C, k12_nattra_1(A!0, k11_cat_2(B!1, C!2)), k11_cat_2(k12_nattra_1(A!0, B!1), k12_nattra_1(A!0, C!2)))) | (~v8_cat_1(C, k12_nattra_1(A!0, k11_cat_2(B!1, C!2)), k11_cat_2(k12_nattra_1(A!0, B!1), k12_nattra_1(A!0, C!2)))))),
% 0.63/0.70      inference(unit_resolution,[status(thm)],[147, 146])).
% 0.63/0.70  tff(149,plain,
% 0.63/0.70      (![C: $i] : ((~m2_cat_1(C, k12_nattra_1(A!0, k11_cat_2(B!1, C!2)), k11_cat_2(k12_nattra_1(A!0, B!1), k12_nattra_1(A!0, C!2)))) | (~v8_cat_1(C, k12_nattra_1(A!0, k11_cat_2(B!1, C!2)), k11_cat_2(k12_nattra_1(A!0, B!1), k12_nattra_1(A!0, C!2)))))),
% 0.63/0.70      inference(unit_resolution,[status(thm)],[148, 145])).
% 0.63/0.70  tff(150,plain,
% 0.63/0.70      (^[A: $i] : refl(((~l1_cat_1(A)) | (~v2_cat_1(A)) | ![B: $i] : ((~l1_cat_1(B)) | (~v2_cat_1(B)) | ![C: $i] : (v8_cat_1(k17_isocat_2(A, B, C), k12_nattra_1(A, k11_cat_2(B, C)), k11_cat_2(k12_nattra_1(A, B), k12_nattra_1(A, C))) | (~l1_cat_1(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] : (v8_cat_1(k17_isocat_2(A, B, C), k12_nattra_1(A, k11_cat_2(B, C)), k11_cat_2(k12_nattra_1(A, B), k12_nattra_1(A, C))) | (~l1_cat_1(C)) | (~v2_cat_1(C))))))),
% 0.63/0.70      inference(bind,[status(th)],[])).
% 0.63/0.70  tff(151,plain,
% 0.63/0.70      (![A: $i] : ((~l1_cat_1(A)) | (~v2_cat_1(A)) | ![B: $i] : ((~l1_cat_1(B)) | (~v2_cat_1(B)) | ![C: $i] : (v8_cat_1(k17_isocat_2(A, B, C), k12_nattra_1(A, k11_cat_2(B, C)), k11_cat_2(k12_nattra_1(A, B), k12_nattra_1(A, C))) | (~l1_cat_1(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] : (v8_cat_1(k17_isocat_2(A, B, C), k12_nattra_1(A, k11_cat_2(B, C)), k11_cat_2(k12_nattra_1(A, B), k12_nattra_1(A, C))) | (~l1_cat_1(C)) | (~v2_cat_1(C)))))),
% 0.63/0.70      inference(quant_intro,[status(thm)],[150])).
% 0.63/0.70  tff(152,plain,
% 0.63/0.70      (^[A: $i] : rewrite(((~l1_cat_1(A)) | (~v2_cat_1(A)) | ![B: $i] : ((~l1_cat_1(B)) | (~v2_cat_1(B)) | ![C: $i] : (v8_cat_1(k17_isocat_2(A, B, C), k12_nattra_1(A, k11_cat_2(B, C)), k11_cat_2(k12_nattra_1(A, B), k12_nattra_1(A, C))) | (~l1_cat_1(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] : (v8_cat_1(k17_isocat_2(A, B, C), k12_nattra_1(A, k11_cat_2(B, C)), k11_cat_2(k12_nattra_1(A, B), k12_nattra_1(A, C))) | (~l1_cat_1(C)) | (~v2_cat_1(C))))))),
% 0.63/0.70      inference(bind,[status(th)],[])).
% 0.63/0.70  tff(153,plain,
% 0.63/0.70      (![A: $i] : ((~l1_cat_1(A)) | (~v2_cat_1(A)) | ![B: $i] : ((~l1_cat_1(B)) | (~v2_cat_1(B)) | ![C: $i] : (v8_cat_1(k17_isocat_2(A, B, C), k12_nattra_1(A, k11_cat_2(B, C)), k11_cat_2(k12_nattra_1(A, B), k12_nattra_1(A, C))) | (~l1_cat_1(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] : (v8_cat_1(k17_isocat_2(A, B, C), k12_nattra_1(A, k11_cat_2(B, C)), k11_cat_2(k12_nattra_1(A, B), k12_nattra_1(A, C))) | (~l1_cat_1(C)) | (~v2_cat_1(C)))))),
% 0.63/0.70      inference(quant_intro,[status(thm)],[152])).
% 0.63/0.70  tff(154,plain,
% 0.63/0.70      (![A: $i] : ((~l1_cat_1(A)) | (~v2_cat_1(A)) | ![B: $i] : ((~l1_cat_1(B)) | (~v2_cat_1(B)) | ![C: $i] : (v8_cat_1(k17_isocat_2(A, B, C), k12_nattra_1(A, k11_cat_2(B, C)), k11_cat_2(k12_nattra_1(A, B), k12_nattra_1(A, C))) | (~l1_cat_1(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] : (v8_cat_1(k17_isocat_2(A, B, C), k12_nattra_1(A, k11_cat_2(B, C)), k11_cat_2(k12_nattra_1(A, B), k12_nattra_1(A, C))) | (~l1_cat_1(C)) | (~v2_cat_1(C)))))),
% 0.63/0.70      inference(transitivity,[status(thm)],[153, 151])).
% 0.63/0.70  tff(155,plain,
% 0.63/0.70      (^[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))) | v8_cat_1(k17_isocat_2(A, B, C), k12_nattra_1(A, k11_cat_2(B, C)), k11_cat_2(k12_nattra_1(A, B), k12_nattra_1(A, C)))) <=> (((~l1_cat_1(C)) | (~v2_cat_1(C))) | v8_cat_1(k17_isocat_2(A, B, C), k12_nattra_1(A, k11_cat_2(B, C)), k11_cat_2(k12_nattra_1(A, B), k12_nattra_1(A, C)))))), rewrite((((~l1_cat_1(C)) | (~v2_cat_1(C))) | v8_cat_1(k17_isocat_2(A, B, C), k12_nattra_1(A, k11_cat_2(B, C)), k11_cat_2(k12_nattra_1(A, B), k12_nattra_1(A, C)))) <=> (v8_cat_1(k17_isocat_2(A, B, C), k12_nattra_1(A, k11_cat_2(B, C)), k11_cat_2(k12_nattra_1(A, B), k12_nattra_1(A, C))) | (~l1_cat_1(C)) | (~v2_cat_1(C)))), (((~(v2_cat_1(C) & l1_cat_1(C))) | v8_cat_1(k17_isocat_2(A, B, C), k12_nattra_1(A, k11_cat_2(B, C)), k11_cat_2(k12_nattra_1(A, B), k12_nattra_1(A, C)))) <=> (v8_cat_1(k17_isocat_2(A, B, C), k12_nattra_1(A, k11_cat_2(B, C)), k11_cat_2(k12_nattra_1(A, B), k12_nattra_1(A, C))) | (~l1_cat_1(C)) | (~v2_cat_1(C)))))), (![C: $i] : ((~(v2_cat_1(C) & l1_cat_1(C))) | v8_cat_1(k17_isocat_2(A, B, C), k12_nattra_1(A, k11_cat_2(B, C)), k11_cat_2(k12_nattra_1(A, B), k12_nattra_1(A, C)))) <=> ![C: $i] : (v8_cat_1(k17_isocat_2(A, B, C), k12_nattra_1(A, k11_cat_2(B, C)), k11_cat_2(k12_nattra_1(A, B), k12_nattra_1(A, C))) | (~l1_cat_1(C)) | (~v2_cat_1(C))))), (((~(v2_cat_1(B) & l1_cat_1(B))) | ![C: $i] : ((~(v2_cat_1(C) & l1_cat_1(C))) | v8_cat_1(k17_isocat_2(A, B, C), k12_nattra_1(A, k11_cat_2(B, C)), k11_cat_2(k12_nattra_1(A, B), k12_nattra_1(A, C))))) <=> (((~l1_cat_1(B)) | (~v2_cat_1(B))) | ![C: $i] : (v8_cat_1(k17_isocat_2(A, B, C), k12_nattra_1(A, k11_cat_2(B, C)), k11_cat_2(k12_nattra_1(A, B), k12_nattra_1(A, C))) | (~l1_cat_1(C)) | (~v2_cat_1(C)))))), rewrite((((~l1_cat_1(B)) | (~v2_cat_1(B))) | ![C: $i] : (v8_cat_1(k17_isocat_2(A, B, C), k12_nattra_1(A, k11_cat_2(B, C)), k11_cat_2(k12_nattra_1(A, B), k12_nattra_1(A, C))) | (~l1_cat_1(C)) | (~v2_cat_1(C)))) <=> ((~l1_cat_1(B)) | (~v2_cat_1(B)) | ![C: $i] : (v8_cat_1(k17_isocat_2(A, B, C), k12_nattra_1(A, k11_cat_2(B, C)), k11_cat_2(k12_nattra_1(A, B), k12_nattra_1(A, C))) | (~l1_cat_1(C)) | (~v2_cat_1(C))))), (((~(v2_cat_1(B) & l1_cat_1(B))) | ![C: $i] : ((~(v2_cat_1(C) & l1_cat_1(C))) | v8_cat_1(k17_isocat_2(A, B, C), k12_nattra_1(A, k11_cat_2(B, C)), k11_cat_2(k12_nattra_1(A, B), k12_nattra_1(A, C))))) <=> ((~l1_cat_1(B)) | (~v2_cat_1(B)) | ![C: $i] : (v8_cat_1(k17_isocat_2(A, B, C), k12_nattra_1(A, k11_cat_2(B, C)), k11_cat_2(k12_nattra_1(A, B), k12_nattra_1(A, C))) | (~l1_cat_1(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))) | v8_cat_1(k17_isocat_2(A, B, C), k12_nattra_1(A, k11_cat_2(B, C)), k11_cat_2(k12_nattra_1(A, B), k12_nattra_1(A, C))))) <=> ![B: $i] : ((~l1_cat_1(B)) | (~v2_cat_1(B)) | ![C: $i] : (v8_cat_1(k17_isocat_2(A, B, C), k12_nattra_1(A, k11_cat_2(B, C)), k11_cat_2(k12_nattra_1(A, B), k12_nattra_1(A, C))) | (~l1_cat_1(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))) | v8_cat_1(k17_isocat_2(A, B, C), k12_nattra_1(A, k11_cat_2(B, C)), k11_cat_2(k12_nattra_1(A, B), k12_nattra_1(A, C)))))) <=> (((~l1_cat_1(A)) | (~v2_cat_1(A))) | ![B: $i] : ((~l1_cat_1(B)) | (~v2_cat_1(B)) | ![C: $i] : (v8_cat_1(k17_isocat_2(A, B, C), k12_nattra_1(A, k11_cat_2(B, C)), k11_cat_2(k12_nattra_1(A, B), k12_nattra_1(A, C))) | (~l1_cat_1(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] : (v8_cat_1(k17_isocat_2(A, B, C), k12_nattra_1(A, k11_cat_2(B, C)), k11_cat_2(k12_nattra_1(A, B), k12_nattra_1(A, C))) | (~l1_cat_1(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] : (v8_cat_1(k17_isocat_2(A, B, C), k12_nattra_1(A, k11_cat_2(B, C)), k11_cat_2(k12_nattra_1(A, B), k12_nattra_1(A, C))) | (~l1_cat_1(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))) | v8_cat_1(k17_isocat_2(A, B, C), k12_nattra_1(A, k11_cat_2(B, C)), k11_cat_2(k12_nattra_1(A, B), k12_nattra_1(A, C)))))) <=> ((~l1_cat_1(A)) | (~v2_cat_1(A)) | ![B: $i] : ((~l1_cat_1(B)) | (~v2_cat_1(B)) | ![C: $i] : (v8_cat_1(k17_isocat_2(A, B, C), k12_nattra_1(A, k11_cat_2(B, C)), k11_cat_2(k12_nattra_1(A, B), k12_nattra_1(A, C))) | (~l1_cat_1(C)) | (~v2_cat_1(C)))))))),
% 0.63/0.70      inference(bind,[status(th)],[])).
% 0.63/0.70  tff(156,plain,
% 0.63/0.70      (![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))) | v8_cat_1(k17_isocat_2(A, B, C), k12_nattra_1(A, k11_cat_2(B, C)), k11_cat_2(k12_nattra_1(A, B), k12_nattra_1(A, C)))))) <=> ![A: $i] : ((~l1_cat_1(A)) | (~v2_cat_1(A)) | ![B: $i] : ((~l1_cat_1(B)) | (~v2_cat_1(B)) | ![C: $i] : (v8_cat_1(k17_isocat_2(A, B, C), k12_nattra_1(A, k11_cat_2(B, C)), k11_cat_2(k12_nattra_1(A, B), k12_nattra_1(A, C))) | (~l1_cat_1(C)) | (~v2_cat_1(C)))))),
% 0.63/0.70      inference(quant_intro,[status(thm)],[155])).
% 0.63/0.70  tff(157,plain,
% 0.63/0.70      (![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))) | v8_cat_1(k17_isocat_2(A, B, C), k12_nattra_1(A, k11_cat_2(B, C)), k11_cat_2(k12_nattra_1(A, B), k12_nattra_1(A, 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))) | v8_cat_1(k17_isocat_2(A, B, C), k12_nattra_1(A, k11_cat_2(B, C)), k11_cat_2(k12_nattra_1(A, B), k12_nattra_1(A, C))))))),
% 0.63/0.70      inference(rewrite,[status(thm)],[])).
% 0.63/0.70  tff(158,plain,
% 0.63/0.70      (^[A: $i] : trans(monotonicity(quant_intro(proof_bind(^[B: $i] : trans(monotonicity(quant_intro(proof_bind(^[C: $i] : rewrite(((v2_cat_1(C) & l1_cat_1(C)) => v8_cat_1(k17_isocat_2(A, B, C), k12_nattra_1(A, k11_cat_2(B, C)), k11_cat_2(k12_nattra_1(A, B), k12_nattra_1(A, C)))) <=> ((~(v2_cat_1(C) & l1_cat_1(C))) | v8_cat_1(k17_isocat_2(A, B, C), k12_nattra_1(A, k11_cat_2(B, C)), k11_cat_2(k12_nattra_1(A, B), k12_nattra_1(A, C)))))), (![C: $i] : ((v2_cat_1(C) & l1_cat_1(C)) => v8_cat_1(k17_isocat_2(A, B, C), k12_nattra_1(A, k11_cat_2(B, C)), k11_cat_2(k12_nattra_1(A, B), k12_nattra_1(A, C)))) <=> ![C: $i] : ((~(v2_cat_1(C) & l1_cat_1(C))) | v8_cat_1(k17_isocat_2(A, B, C), k12_nattra_1(A, k11_cat_2(B, C)), k11_cat_2(k12_nattra_1(A, B), k12_nattra_1(A, C)))))), (((v2_cat_1(B) & l1_cat_1(B)) => ![C: $i] : ((v2_cat_1(C) & l1_cat_1(C)) => v8_cat_1(k17_isocat_2(A, B, C), k12_nattra_1(A, k11_cat_2(B, C)), k11_cat_2(k12_nattra_1(A, B), k12_nattra_1(A, C))))) <=> ((v2_cat_1(B) & l1_cat_1(B)) => ![C: $i] : ((~(v2_cat_1(C) & l1_cat_1(C))) | v8_cat_1(k17_isocat_2(A, B, C), k12_nattra_1(A, k11_cat_2(B, C)), k11_cat_2(k12_nattra_1(A, B), k12_nattra_1(A, C))))))), rewrite(((v2_cat_1(B) & l1_cat_1(B)) => ![C: $i] : ((~(v2_cat_1(C) & l1_cat_1(C))) | v8_cat_1(k17_isocat_2(A, B, C), k12_nattra_1(A, k11_cat_2(B, C)), k11_cat_2(k12_nattra_1(A, B), k12_nattra_1(A, C))))) <=> ((~(v2_cat_1(B) & l1_cat_1(B))) | ![C: $i] : ((~(v2_cat_1(C) & l1_cat_1(C))) | v8_cat_1(k17_isocat_2(A, B, C), k12_nattra_1(A, k11_cat_2(B, C)), k11_cat_2(k12_nattra_1(A, B), k12_nattra_1(A, C)))))), (((v2_cat_1(B) & l1_cat_1(B)) => ![C: $i] : ((v2_cat_1(C) & l1_cat_1(C)) => v8_cat_1(k17_isocat_2(A, B, C), k12_nattra_1(A, k11_cat_2(B, C)), k11_cat_2(k12_nattra_1(A, B), k12_nattra_1(A, C))))) <=> ((~(v2_cat_1(B) & l1_cat_1(B))) | ![C: $i] : ((~(v2_cat_1(C) & l1_cat_1(C))) | v8_cat_1(k17_isocat_2(A, B, C), k12_nattra_1(A, k11_cat_2(B, C)), k11_cat_2(k12_nattra_1(A, B), k12_nattra_1(A, C)))))))), (![B: $i] : ((v2_cat_1(B) & l1_cat_1(B)) => ![C: $i] : ((v2_cat_1(C) & l1_cat_1(C)) => v8_cat_1(k17_isocat_2(A, B, C), k12_nattra_1(A, k11_cat_2(B, C)), k11_cat_2(k12_nattra_1(A, B), k12_nattra_1(A, C))))) <=> ![B: $i] : ((~(v2_cat_1(B) & l1_cat_1(B))) | ![C: $i] : ((~(v2_cat_1(C) & l1_cat_1(C))) | v8_cat_1(k17_isocat_2(A, B, C), k12_nattra_1(A, k11_cat_2(B, C)), k11_cat_2(k12_nattra_1(A, B), k12_nattra_1(A, 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)) => v8_cat_1(k17_isocat_2(A, B, C), k12_nattra_1(A, k11_cat_2(B, C)), k11_cat_2(k12_nattra_1(A, B), k12_nattra_1(A, 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))) | v8_cat_1(k17_isocat_2(A, B, C), k12_nattra_1(A, k11_cat_2(B, C)), k11_cat_2(k12_nattra_1(A, B), k12_nattra_1(A, 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))) | v8_cat_1(k17_isocat_2(A, B, C), k12_nattra_1(A, k11_cat_2(B, C)), k11_cat_2(k12_nattra_1(A, B), k12_nattra_1(A, 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))) | v8_cat_1(k17_isocat_2(A, B, C), k12_nattra_1(A, k11_cat_2(B, C)), k11_cat_2(k12_nattra_1(A, B), k12_nattra_1(A, 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)) => v8_cat_1(k17_isocat_2(A, B, C), k12_nattra_1(A, k11_cat_2(B, C)), k11_cat_2(k12_nattra_1(A, B), k12_nattra_1(A, 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))) | v8_cat_1(k17_isocat_2(A, B, C), k12_nattra_1(A, k11_cat_2(B, C)), k11_cat_2(k12_nattra_1(A, B), k12_nattra_1(A, C))))))))),
% 0.63/0.70      inference(bind,[status(th)],[])).
% 0.63/0.70  tff(159,plain,
% 0.63/0.70      (![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)) => v8_cat_1(k17_isocat_2(A, B, C), k12_nattra_1(A, k11_cat_2(B, C)), k11_cat_2(k12_nattra_1(A, B), k12_nattra_1(A, 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))) | v8_cat_1(k17_isocat_2(A, B, C), k12_nattra_1(A, k11_cat_2(B, C)), k11_cat_2(k12_nattra_1(A, B), k12_nattra_1(A, C))))))),
% 0.63/0.70      inference(quant_intro,[status(thm)],[158])).
% 0.63/0.70  tff(160,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)) => v8_cat_1(k17_isocat_2(A, B, C), k12_nattra_1(A, k11_cat_2(B, C)), k11_cat_2(k12_nattra_1(A, B), k12_nattra_1(A, C))))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','t48_isocat_2')).
% 0.63/0.70  tff(161,plain,
% 0.63/0.70      (![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))) | v8_cat_1(k17_isocat_2(A, B, C), k12_nattra_1(A, k11_cat_2(B, C)), k11_cat_2(k12_nattra_1(A, B), k12_nattra_1(A, C))))))),
% 0.63/0.70      inference(modus_ponens,[status(thm)],[160, 159])).
% 0.63/0.70  tff(162,plain,
% 0.63/0.70      (![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))) | v8_cat_1(k17_isocat_2(A, B, C), k12_nattra_1(A, k11_cat_2(B, C)), k11_cat_2(k12_nattra_1(A, B), k12_nattra_1(A, C))))))),
% 0.63/0.70      inference(modus_ponens,[status(thm)],[161, 157])).
% 0.63/0.70  tff(163,plain,(
% 0.63/0.70      ![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))) | v8_cat_1(k17_isocat_2(A, B, C), k12_nattra_1(A, k11_cat_2(B, C)), k11_cat_2(k12_nattra_1(A, B), k12_nattra_1(A, C))))))),
% 0.63/0.70      inference(skolemize,[status(sab)],[162])).
% 0.63/0.70  tff(164,plain,
% 0.63/0.70      (![A: $i] : ((~l1_cat_1(A)) | (~v2_cat_1(A)) | ![B: $i] : ((~l1_cat_1(B)) | (~v2_cat_1(B)) | ![C: $i] : (v8_cat_1(k17_isocat_2(A, B, C), k12_nattra_1(A, k11_cat_2(B, C)), k11_cat_2(k12_nattra_1(A, B), k12_nattra_1(A, C))) | (~l1_cat_1(C)) | (~v2_cat_1(C)))))),
% 0.63/0.70      inference(modus_ponens,[status(thm)],[163, 156])).
% 0.63/0.70  tff(165,plain,
% 0.63/0.70      (![A: $i] : ((~l1_cat_1(A)) | (~v2_cat_1(A)) | ![B: $i] : ((~l1_cat_1(B)) | (~v2_cat_1(B)) | ![C: $i] : (v8_cat_1(k17_isocat_2(A, B, C), k12_nattra_1(A, k11_cat_2(B, C)), k11_cat_2(k12_nattra_1(A, B), k12_nattra_1(A, C))) | (~l1_cat_1(C)) | (~v2_cat_1(C)))))),
% 0.63/0.70      inference(modus_ponens,[status(thm)],[164, 154])).
% 0.63/0.70  tff(166,plain,
% 0.63/0.70      (((~![A: $i] : ((~l1_cat_1(A)) | (~v2_cat_1(A)) | ![B: $i] : ((~l1_cat_1(B)) | (~v2_cat_1(B)) | ![C: $i] : (v8_cat_1(k17_isocat_2(A, B, C), k12_nattra_1(A, k11_cat_2(B, C)), k11_cat_2(k12_nattra_1(A, B), k12_nattra_1(A, C))) | (~l1_cat_1(C)) | (~v2_cat_1(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)) | v8_cat_1(k17_isocat_2(A!0, B, C), k12_nattra_1(A!0, k11_cat_2(B, C)), k11_cat_2(k12_nattra_1(A!0, B), k12_nattra_1(A!0, C))))))) <=> ((~![A: $i] : ((~l1_cat_1(A)) | (~v2_cat_1(A)) | ![B: $i] : ((~l1_cat_1(B)) | (~v2_cat_1(B)) | ![C: $i] : (v8_cat_1(k17_isocat_2(A, B, C), k12_nattra_1(A, k11_cat_2(B, C)), k11_cat_2(k12_nattra_1(A, B), k12_nattra_1(A, C))) | (~l1_cat_1(C)) | (~v2_cat_1(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)) | v8_cat_1(k17_isocat_2(A!0, B, C), k12_nattra_1(A!0, k11_cat_2(B, C)), k11_cat_2(k12_nattra_1(A!0, B), k12_nattra_1(A!0, C))))))),
% 0.63/0.70      inference(rewrite,[status(thm)],[])).
% 0.63/0.70  tff(167,plain,
% 0.63/0.70      (((~l1_cat_1(A!0)) | (~v2_cat_1(A!0)) | ![B: $i] : ((~l1_cat_1(B)) | (~v2_cat_1(B)) | ![C: $i] : (v8_cat_1(k17_isocat_2(A!0, B, C), k12_nattra_1(A!0, k11_cat_2(B, C)), k11_cat_2(k12_nattra_1(A!0, B), k12_nattra_1(A!0, C))) | (~l1_cat_1(C)) | (~v2_cat_1(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)) | v8_cat_1(k17_isocat_2(A!0, B, C), k12_nattra_1(A!0, k11_cat_2(B, C)), k11_cat_2(k12_nattra_1(A!0, B), k12_nattra_1(A!0, C))))))),
% 0.63/0.70      inference(rewrite,[status(thm)],[])).
% 0.63/0.70  tff(168,plain,
% 0.63/0.70      (((~![A: $i] : ((~l1_cat_1(A)) | (~v2_cat_1(A)) | ![B: $i] : ((~l1_cat_1(B)) | (~v2_cat_1(B)) | ![C: $i] : (v8_cat_1(k17_isocat_2(A, B, C), k12_nattra_1(A, k11_cat_2(B, C)), k11_cat_2(k12_nattra_1(A, B), k12_nattra_1(A, C))) | (~l1_cat_1(C)) | (~v2_cat_1(C)))))) | ((~l1_cat_1(A!0)) | (~v2_cat_1(A!0)) | ![B: $i] : ((~l1_cat_1(B)) | (~v2_cat_1(B)) | ![C: $i] : (v8_cat_1(k17_isocat_2(A!0, B, C), k12_nattra_1(A!0, k11_cat_2(B, C)), k11_cat_2(k12_nattra_1(A!0, B), k12_nattra_1(A!0, C))) | (~l1_cat_1(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] : (v8_cat_1(k17_isocat_2(A, B, C), k12_nattra_1(A, k11_cat_2(B, C)), k11_cat_2(k12_nattra_1(A, B), k12_nattra_1(A, C))) | (~l1_cat_1(C)) | (~v2_cat_1(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)) | v8_cat_1(k17_isocat_2(A!0, B, C), k12_nattra_1(A!0, k11_cat_2(B, C)), k11_cat_2(k12_nattra_1(A!0, B), k12_nattra_1(A!0, C)))))))),
% 0.63/0.70      inference(monotonicity,[status(thm)],[167])).
% 0.63/0.70  tff(169,plain,
% 0.63/0.70      (((~![A: $i] : ((~l1_cat_1(A)) | (~v2_cat_1(A)) | ![B: $i] : ((~l1_cat_1(B)) | (~v2_cat_1(B)) | ![C: $i] : (v8_cat_1(k17_isocat_2(A, B, C), k12_nattra_1(A, k11_cat_2(B, C)), k11_cat_2(k12_nattra_1(A, B), k12_nattra_1(A, C))) | (~l1_cat_1(C)) | (~v2_cat_1(C)))))) | ((~l1_cat_1(A!0)) | (~v2_cat_1(A!0)) | ![B: $i] : ((~l1_cat_1(B)) | (~v2_cat_1(B)) | ![C: $i] : (v8_cat_1(k17_isocat_2(A!0, B, C), k12_nattra_1(A!0, k11_cat_2(B, C)), k11_cat_2(k12_nattra_1(A!0, B), k12_nattra_1(A!0, C))) | (~l1_cat_1(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] : (v8_cat_1(k17_isocat_2(A, B, C), k12_nattra_1(A, k11_cat_2(B, C)), k11_cat_2(k12_nattra_1(A, B), k12_nattra_1(A, C))) | (~l1_cat_1(C)) | (~v2_cat_1(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)) | v8_cat_1(k17_isocat_2(A!0, B, C), k12_nattra_1(A!0, k11_cat_2(B, C)), k11_cat_2(k12_nattra_1(A!0, B), k12_nattra_1(A!0, C))))))),
% 0.63/0.70      inference(transitivity,[status(thm)],[168, 166])).
% 0.63/0.70  tff(170,plain,
% 0.63/0.70      ((~![A: $i] : ((~l1_cat_1(A)) | (~v2_cat_1(A)) | ![B: $i] : ((~l1_cat_1(B)) | (~v2_cat_1(B)) | ![C: $i] : (v8_cat_1(k17_isocat_2(A, B, C), k12_nattra_1(A, k11_cat_2(B, C)), k11_cat_2(k12_nattra_1(A, B), k12_nattra_1(A, C))) | (~l1_cat_1(C)) | (~v2_cat_1(C)))))) | ((~l1_cat_1(A!0)) | (~v2_cat_1(A!0)) | ![B: $i] : ((~l1_cat_1(B)) | (~v2_cat_1(B)) | ![C: $i] : (v8_cat_1(k17_isocat_2(A!0, B, C), k12_nattra_1(A!0, k11_cat_2(B, C)), k11_cat_2(k12_nattra_1(A!0, B), k12_nattra_1(A!0, C))) | (~l1_cat_1(C)) | (~v2_cat_1(C)))))),
% 0.63/0.70      inference(quant_inst,[status(thm)],[])).
% 0.63/0.70  tff(171,plain,
% 0.63/0.70      ((~![A: $i] : ((~l1_cat_1(A)) | (~v2_cat_1(A)) | ![B: $i] : ((~l1_cat_1(B)) | (~v2_cat_1(B)) | ![C: $i] : (v8_cat_1(k17_isocat_2(A, B, C), k12_nattra_1(A, k11_cat_2(B, C)), k11_cat_2(k12_nattra_1(A, B), k12_nattra_1(A, C))) | (~l1_cat_1(C)) | (~v2_cat_1(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)) | v8_cat_1(k17_isocat_2(A!0, B, C), k12_nattra_1(A!0, k11_cat_2(B, C)), k11_cat_2(k12_nattra_1(A!0, B), k12_nattra_1(A!0, C)))))),
% 0.63/0.71      inference(modus_ponens,[status(thm)],[170, 169])).
% 0.63/0.71  tff(172,plain,
% 0.63/0.71      (![B: $i] : ((~l1_cat_1(B)) | (~v2_cat_1(B)) | ![C: $i] : ((~l1_cat_1(C)) | (~v2_cat_1(C)) | v8_cat_1(k17_isocat_2(A!0, B, C), k12_nattra_1(A!0, k11_cat_2(B, C)), k11_cat_2(k12_nattra_1(A!0, B), k12_nattra_1(A!0, C)))))),
% 0.63/0.71      inference(unit_resolution,[status(thm)],[171, 67, 66, 165])).
% 0.63/0.71  tff(173,plain,
% 0.63/0.71      (((~![B: $i] : ((~l1_cat_1(B)) | (~v2_cat_1(B)) | ![C: $i] : ((~l1_cat_1(C)) | (~v2_cat_1(C)) | v8_cat_1(k17_isocat_2(A!0, B, C), k12_nattra_1(A!0, k11_cat_2(B, C)), k11_cat_2(k12_nattra_1(A!0, B), k12_nattra_1(A!0, C)))))) | ((~l1_cat_1(B!1)) | (~v2_cat_1(B!1)) | ![C: $i] : ((~l1_cat_1(C)) | (~v2_cat_1(C)) | v8_cat_1(k17_isocat_2(A!0, B!1, C), k12_nattra_1(A!0, k11_cat_2(B!1, C)), k11_cat_2(k12_nattra_1(A!0, B!1), k12_nattra_1(A!0, C)))))) <=> ((~![B: $i] : ((~l1_cat_1(B)) | (~v2_cat_1(B)) | ![C: $i] : ((~l1_cat_1(C)) | (~v2_cat_1(C)) | v8_cat_1(k17_isocat_2(A!0, B, C), k12_nattra_1(A!0, k11_cat_2(B, C)), k11_cat_2(k12_nattra_1(A!0, B), k12_nattra_1(A!0, C)))))) | (~l1_cat_1(B!1)) | (~v2_cat_1(B!1)) | ![C: $i] : ((~l1_cat_1(C)) | (~v2_cat_1(C)) | v8_cat_1(k17_isocat_2(A!0, B!1, C), k12_nattra_1(A!0, k11_cat_2(B!1, C)), k11_cat_2(k12_nattra_1(A!0, B!1), k12_nattra_1(A!0, C)))))),
% 0.63/0.71      inference(rewrite,[status(thm)],[])).
% 0.63/0.71  tff(174,plain,
% 0.63/0.71      ((~![B: $i] : ((~l1_cat_1(B)) | (~v2_cat_1(B)) | ![C: $i] : ((~l1_cat_1(C)) | (~v2_cat_1(C)) | v8_cat_1(k17_isocat_2(A!0, B, C), k12_nattra_1(A!0, k11_cat_2(B, C)), k11_cat_2(k12_nattra_1(A!0, B), k12_nattra_1(A!0, C)))))) | ((~l1_cat_1(B!1)) | (~v2_cat_1(B!1)) | ![C: $i] : ((~l1_cat_1(C)) | (~v2_cat_1(C)) | v8_cat_1(k17_isocat_2(A!0, B!1, C), k12_nattra_1(A!0, k11_cat_2(B!1, C)), k11_cat_2(k12_nattra_1(A!0, B!1), k12_nattra_1(A!0, C)))))),
% 0.63/0.71      inference(quant_inst,[status(thm)],[])).
% 0.63/0.71  tff(175,plain,
% 0.63/0.71      ((~![B: $i] : ((~l1_cat_1(B)) | (~v2_cat_1(B)) | ![C: $i] : ((~l1_cat_1(C)) | (~v2_cat_1(C)) | v8_cat_1(k17_isocat_2(A!0, B, C), k12_nattra_1(A!0, k11_cat_2(B, C)), k11_cat_2(k12_nattra_1(A!0, B), k12_nattra_1(A!0, C)))))) | (~l1_cat_1(B!1)) | (~v2_cat_1(B!1)) | ![C: $i] : ((~l1_cat_1(C)) | (~v2_cat_1(C)) | v8_cat_1(k17_isocat_2(A!0, B!1, C), k12_nattra_1(A!0, k11_cat_2(B!1, C)), k11_cat_2(k12_nattra_1(A!0, B!1), k12_nattra_1(A!0, C))))),
% 0.63/0.71      inference(modus_ponens,[status(thm)],[174, 173])).
% 0.63/0.71  tff(176,plain,
% 0.63/0.71      (![C: $i] : ((~l1_cat_1(C)) | (~v2_cat_1(C)) | v8_cat_1(k17_isocat_2(A!0, B!1, C), k12_nattra_1(A!0, k11_cat_2(B!1, C)), k11_cat_2(k12_nattra_1(A!0, B!1), k12_nattra_1(A!0, C))))),
% 0.63/0.71      inference(unit_resolution,[status(thm)],[175, 38, 37, 172])).
% 0.63/0.71  tff(177,plain,
% 0.63/0.71      (((~![C: $i] : ((~l1_cat_1(C)) | (~v2_cat_1(C)) | v8_cat_1(k17_isocat_2(A!0, B!1, C), k12_nattra_1(A!0, k11_cat_2(B!1, C)), k11_cat_2(k12_nattra_1(A!0, B!1), k12_nattra_1(A!0, C))))) | ((~l1_cat_1(C!2)) | (~v2_cat_1(C!2)) | v8_cat_1(k17_isocat_2(A!0, B!1, C!2), k12_nattra_1(A!0, k11_cat_2(B!1, C!2)), k11_cat_2(k12_nattra_1(A!0, B!1), k12_nattra_1(A!0, C!2))))) <=> ((~![C: $i] : ((~l1_cat_1(C)) | (~v2_cat_1(C)) | v8_cat_1(k17_isocat_2(A!0, B!1, C), k12_nattra_1(A!0, k11_cat_2(B!1, C)), k11_cat_2(k12_nattra_1(A!0, B!1), k12_nattra_1(A!0, C))))) | (~l1_cat_1(C!2)) | (~v2_cat_1(C!2)) | v8_cat_1(k17_isocat_2(A!0, B!1, C!2), k12_nattra_1(A!0, k11_cat_2(B!1, C!2)), k11_cat_2(k12_nattra_1(A!0, B!1), k12_nattra_1(A!0, C!2))))),
% 0.63/0.71      inference(rewrite,[status(thm)],[])).
% 0.63/0.71  tff(178,plain,
% 0.63/0.71      ((~![C: $i] : ((~l1_cat_1(C)) | (~v2_cat_1(C)) | v8_cat_1(k17_isocat_2(A!0, B!1, C), k12_nattra_1(A!0, k11_cat_2(B!1, C)), k11_cat_2(k12_nattra_1(A!0, B!1), k12_nattra_1(A!0, C))))) | ((~l1_cat_1(C!2)) | (~v2_cat_1(C!2)) | v8_cat_1(k17_isocat_2(A!0, B!1, C!2), k12_nattra_1(A!0, k11_cat_2(B!1, C!2)), k11_cat_2(k12_nattra_1(A!0, B!1), k12_nattra_1(A!0, C!2))))),
% 0.63/0.71      inference(quant_inst,[status(thm)],[])).
% 0.63/0.71  tff(179,plain,
% 0.63/0.71      ((~![C: $i] : ((~l1_cat_1(C)) | (~v2_cat_1(C)) | v8_cat_1(k17_isocat_2(A!0, B!1, C), k12_nattra_1(A!0, k11_cat_2(B!1, C)), k11_cat_2(k12_nattra_1(A!0, B!1), k12_nattra_1(A!0, C))))) | (~l1_cat_1(C!2)) | (~v2_cat_1(C!2)) | v8_cat_1(k17_isocat_2(A!0, B!1, C!2), k12_nattra_1(A!0, k11_cat_2(B!1, C!2)), k11_cat_2(k12_nattra_1(A!0, B!1), k12_nattra_1(A!0, C!2)))),
% 0.63/0.71      inference(modus_ponens,[status(thm)],[178, 177])).
% 0.63/0.71  tff(180,plain,
% 0.63/0.71      (v8_cat_1(k17_isocat_2(A!0, B!1, C!2), k12_nattra_1(A!0, k11_cat_2(B!1, C!2)), k11_cat_2(k12_nattra_1(A!0, B!1), k12_nattra_1(A!0, C!2)))),
% 0.63/0.71      inference(unit_resolution,[status(thm)],[179, 36, 35, 176])).
% 0.63/0.71  tff(181,plain,
% 0.63/0.71      (^[A: $i, B: $i, C: $i] : refl((m2_cat_1(k17_isocat_2(A, B, C), k12_nattra_1(A, k11_cat_2(B, C)), k11_cat_2(k12_nattra_1(A, B), k12_nattra_1(A, C))) | (~l1_cat_1(C)) | (~v2_cat_1(C)) | (~v2_cat_1(B)) | (~l1_cat_1(B)) | (~v2_cat_1(A)) | (~l1_cat_1(A))) <=> (m2_cat_1(k17_isocat_2(A, B, C), k12_nattra_1(A, k11_cat_2(B, C)), k11_cat_2(k12_nattra_1(A, B), k12_nattra_1(A, C))) | (~l1_cat_1(C)) | (~v2_cat_1(C)) | (~v2_cat_1(B)) | (~l1_cat_1(B)) | (~v2_cat_1(A)) | (~l1_cat_1(A))))),
% 0.63/0.71      inference(bind,[status(th)],[])).
% 0.63/0.71  tff(182,plain,
% 0.63/0.71      (![A: $i, B: $i, C: $i] : (m2_cat_1(k17_isocat_2(A, B, C), k12_nattra_1(A, k11_cat_2(B, C)), k11_cat_2(k12_nattra_1(A, B), k12_nattra_1(A, C))) | (~l1_cat_1(C)) | (~v2_cat_1(C)) | (~v2_cat_1(B)) | (~l1_cat_1(B)) | (~v2_cat_1(A)) | (~l1_cat_1(A))) <=> ![A: $i, B: $i, C: $i] : (m2_cat_1(k17_isocat_2(A, B, C), k12_nattra_1(A, k11_cat_2(B, C)), k11_cat_2(k12_nattra_1(A, B), k12_nattra_1(A, C))) | (~l1_cat_1(C)) | (~v2_cat_1(C)) | (~v2_cat_1(B)) | (~l1_cat_1(B)) | (~v2_cat_1(A)) | (~l1_cat_1(A)))),
% 0.63/0.71      inference(quant_intro,[status(thm)],[181])).
% 0.63/0.71  tff(183,plain,
% 0.63/0.71      (^[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) & v2_cat_1(C) & l1_cat_1(C)) <=> (~((~l1_cat_1(C)) | (~v2_cat_1(C)) | (~v2_cat_1(B)) | (~l1_cat_1(B)) | (~v2_cat_1(A)) | (~l1_cat_1(A))))), ((~(v2_cat_1(A) & l1_cat_1(A) & v2_cat_1(B) & l1_cat_1(B) & v2_cat_1(C) & l1_cat_1(C))) <=> (~(~((~l1_cat_1(C)) | (~v2_cat_1(C)) | (~v2_cat_1(B)) | (~l1_cat_1(B)) | (~v2_cat_1(A)) | (~l1_cat_1(A))))))), rewrite((~(~((~l1_cat_1(C)) | (~v2_cat_1(C)) | (~v2_cat_1(B)) | (~l1_cat_1(B)) | (~v2_cat_1(A)) | (~l1_cat_1(A))))) <=> ((~l1_cat_1(C)) | (~v2_cat_1(C)) | (~v2_cat_1(B)) | (~l1_cat_1(B)) | (~v2_cat_1(A)) | (~l1_cat_1(A)))), ((~(v2_cat_1(A) & l1_cat_1(A) & v2_cat_1(B) & l1_cat_1(B) & v2_cat_1(C) & l1_cat_1(C))) <=> ((~l1_cat_1(C)) | (~v2_cat_1(C)) | (~v2_cat_1(B)) | (~l1_cat_1(B)) | (~v2_cat_1(A)) | (~l1_cat_1(A))))), (((~(v2_cat_1(A) & l1_cat_1(A) & v2_cat_1(B) & l1_cat_1(B) & v2_cat_1(C) & l1_cat_1(C))) | m2_cat_1(k17_isocat_2(A, B, C), k12_nattra_1(A, k11_cat_2(B, C)), k11_cat_2(k12_nattra_1(A, B), k12_nattra_1(A, C)))) <=> (((~l1_cat_1(C)) | (~v2_cat_1(C)) | (~v2_cat_1(B)) | (~l1_cat_1(B)) | (~v2_cat_1(A)) | (~l1_cat_1(A))) | m2_cat_1(k17_isocat_2(A, B, C), k12_nattra_1(A, k11_cat_2(B, C)), k11_cat_2(k12_nattra_1(A, B), k12_nattra_1(A, C)))))), rewrite((((~l1_cat_1(C)) | (~v2_cat_1(C)) | (~v2_cat_1(B)) | (~l1_cat_1(B)) | (~v2_cat_1(A)) | (~l1_cat_1(A))) | m2_cat_1(k17_isocat_2(A, B, C), k12_nattra_1(A, k11_cat_2(B, C)), k11_cat_2(k12_nattra_1(A, B), k12_nattra_1(A, C)))) <=> (m2_cat_1(k17_isocat_2(A, B, C), k12_nattra_1(A, k11_cat_2(B, C)), k11_cat_2(k12_nattra_1(A, B), k12_nattra_1(A, C))) | (~l1_cat_1(C)) | (~v2_cat_1(C)) | (~v2_cat_1(B)) | (~l1_cat_1(B)) | (~v2_cat_1(A)) | (~l1_cat_1(A)))), (((~(v2_cat_1(A) & l1_cat_1(A) & v2_cat_1(B) & l1_cat_1(B) & v2_cat_1(C) & l1_cat_1(C))) | m2_cat_1(k17_isocat_2(A, B, C), k12_nattra_1(A, k11_cat_2(B, C)), k11_cat_2(k12_nattra_1(A, B), k12_nattra_1(A, C)))) <=> (m2_cat_1(k17_isocat_2(A, B, C), k12_nattra_1(A, k11_cat_2(B, C)), k11_cat_2(k12_nattra_1(A, B), k12_nattra_1(A, C))) | (~l1_cat_1(C)) | (~v2_cat_1(C)) | (~v2_cat_1(B)) | (~l1_cat_1(B)) | (~v2_cat_1(A)) | (~l1_cat_1(A)))))),
% 0.63/0.71      inference(bind,[status(th)],[])).
% 0.63/0.71  tff(184,plain,
% 0.63/0.71      (![A: $i, B: $i, C: $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(k17_isocat_2(A, B, C), k12_nattra_1(A, k11_cat_2(B, C)), k11_cat_2(k12_nattra_1(A, B), k12_nattra_1(A, C)))) <=> ![A: $i, B: $i, C: $i] : (m2_cat_1(k17_isocat_2(A, B, C), k12_nattra_1(A, k11_cat_2(B, C)), k11_cat_2(k12_nattra_1(A, B), k12_nattra_1(A, C))) | (~l1_cat_1(C)) | (~v2_cat_1(C)) | (~v2_cat_1(B)) | (~l1_cat_1(B)) | (~v2_cat_1(A)) | (~l1_cat_1(A)))),
% 0.63/0.71      inference(quant_intro,[status(thm)],[183])).
% 0.63/0.71  tff(185,plain,
% 0.63/0.71      (![A: $i, B: $i, C: $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(k17_isocat_2(A, B, C), k12_nattra_1(A, k11_cat_2(B, C)), k11_cat_2(k12_nattra_1(A, B), k12_nattra_1(A, C)))) <=> ![A: $i, B: $i, C: $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(k17_isocat_2(A, B, C), k12_nattra_1(A, k11_cat_2(B, C)), k11_cat_2(k12_nattra_1(A, B), k12_nattra_1(A, C))))),
% 0.63/0.71      inference(rewrite,[status(thm)],[])).
% 0.63/0.71  tff(186,plain,
% 0.63/0.71      (^[A: $i, B: $i, C: $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)) & 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(k17_isocat_2(A, B, C), k12_nattra_1(A, k11_cat_2(B, C)), k11_cat_2(k12_nattra_1(A, B), k12_nattra_1(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(k17_isocat_2(A, B, C), k12_nattra_1(A, k11_cat_2(B, C)), k11_cat_2(k12_nattra_1(A, B), k12_nattra_1(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(k17_isocat_2(A, B, C), k12_nattra_1(A, k11_cat_2(B, C)), k11_cat_2(k12_nattra_1(A, B), k12_nattra_1(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(k17_isocat_2(A, B, C), k12_nattra_1(A, k11_cat_2(B, C)), k11_cat_2(k12_nattra_1(A, B), k12_nattra_1(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(k17_isocat_2(A, B, C), k12_nattra_1(A, k11_cat_2(B, C)), k11_cat_2(k12_nattra_1(A, B), k12_nattra_1(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(k17_isocat_2(A, B, C), k12_nattra_1(A, k11_cat_2(B, C)), k11_cat_2(k12_nattra_1(A, B), k12_nattra_1(A, C))))))),
% 0.63/0.71      inference(bind,[status(th)],[])).
% 0.63/0.71  tff(187,plain,
% 0.63/0.71      (![A: $i, B: $i, C: $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(k17_isocat_2(A, B, C), k12_nattra_1(A, k11_cat_2(B, C)), k11_cat_2(k12_nattra_1(A, B), k12_nattra_1(A, C)))) <=> ![A: $i, B: $i, C: $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(k17_isocat_2(A, B, C), k12_nattra_1(A, k11_cat_2(B, C)), k11_cat_2(k12_nattra_1(A, B), k12_nattra_1(A, C))))),
% 0.63/0.71      inference(quant_intro,[status(thm)],[186])).
% 0.63/0.71  tff(188,axiom,(![A: $i, B: $i, C: $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(k17_isocat_2(A, B, C), k12_nattra_1(A, k11_cat_2(B, C)), k11_cat_2(k12_nattra_1(A, B), k12_nattra_1(A, C))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','dt_k17_isocat_2')).
% 0.63/0.71  tff(189,plain,
% 0.63/0.71      (![A: $i, B: $i, C: $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(k17_isocat_2(A, B, C), k12_nattra_1(A, k11_cat_2(B, C)), k11_cat_2(k12_nattra_1(A, B), k12_nattra_1(A, C))))),
% 0.63/0.71      inference(modus_ponens,[status(thm)],[188, 187])).
% 0.63/0.71  tff(190,plain,
% 0.63/0.71      (![A: $i, B: $i, C: $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(k17_isocat_2(A, B, C), k12_nattra_1(A, k11_cat_2(B, C)), k11_cat_2(k12_nattra_1(A, B), k12_nattra_1(A, C))))),
% 0.63/0.71      inference(modus_ponens,[status(thm)],[189, 185])).
% 0.63/0.71  tff(191,plain,(
% 0.63/0.71      ![A: $i, B: $i, C: $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(k17_isocat_2(A, B, C), k12_nattra_1(A, k11_cat_2(B, C)), k11_cat_2(k12_nattra_1(A, B), k12_nattra_1(A, C))))),
% 0.63/0.71      inference(skolemize,[status(sab)],[190])).
% 0.63/0.71  tff(192,plain,
% 0.63/0.71      (![A: $i, B: $i, C: $i] : (m2_cat_1(k17_isocat_2(A, B, C), k12_nattra_1(A, k11_cat_2(B, C)), k11_cat_2(k12_nattra_1(A, B), k12_nattra_1(A, C))) | (~l1_cat_1(C)) | (~v2_cat_1(C)) | (~v2_cat_1(B)) | (~l1_cat_1(B)) | (~v2_cat_1(A)) | (~l1_cat_1(A)))),
% 0.63/0.71      inference(modus_ponens,[status(thm)],[191, 184])).
% 0.63/0.71  tff(193,plain,
% 0.63/0.71      (![A: $i, B: $i, C: $i] : (m2_cat_1(k17_isocat_2(A, B, C), k12_nattra_1(A, k11_cat_2(B, C)), k11_cat_2(k12_nattra_1(A, B), k12_nattra_1(A, C))) | (~l1_cat_1(C)) | (~v2_cat_1(C)) | (~v2_cat_1(B)) | (~l1_cat_1(B)) | (~v2_cat_1(A)) | (~l1_cat_1(A)))),
% 0.63/0.71      inference(modus_ponens,[status(thm)],[192, 182])).
% 0.63/0.71  tff(194,plain,
% 0.63/0.71      (((~![A: $i, B: $i, C: $i] : (m2_cat_1(k17_isocat_2(A, B, C), k12_nattra_1(A, k11_cat_2(B, C)), k11_cat_2(k12_nattra_1(A, B), k12_nattra_1(A, C))) | (~l1_cat_1(C)) | (~v2_cat_1(C)) | (~v2_cat_1(B)) | (~l1_cat_1(B)) | (~v2_cat_1(A)) | (~l1_cat_1(A)))) | ((~l1_cat_1(A!0)) | (~v2_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(k17_isocat_2(A!0, B!1, C!2), k12_nattra_1(A!0, k11_cat_2(B!1, C!2)), k11_cat_2(k12_nattra_1(A!0, B!1), k12_nattra_1(A!0, C!2))))) <=> ((~![A: $i, B: $i, C: $i] : (m2_cat_1(k17_isocat_2(A, B, C), k12_nattra_1(A, k11_cat_2(B, C)), k11_cat_2(k12_nattra_1(A, B), k12_nattra_1(A, C))) | (~l1_cat_1(C)) | (~v2_cat_1(C)) | (~v2_cat_1(B)) | (~l1_cat_1(B)) | (~v2_cat_1(A)) | (~l1_cat_1(A)))) | (~l1_cat_1(A!0)) | (~v2_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(k17_isocat_2(A!0, B!1, C!2), k12_nattra_1(A!0, k11_cat_2(B!1, C!2)), k11_cat_2(k12_nattra_1(A!0, B!1), k12_nattra_1(A!0, C!2))))),
% 0.63/0.71      inference(rewrite,[status(thm)],[])).
% 0.63/0.71  tff(195,plain,
% 0.63/0.71      ((m2_cat_1(k17_isocat_2(A!0, B!1, C!2), k12_nattra_1(A!0, k11_cat_2(B!1, C!2)), k11_cat_2(k12_nattra_1(A!0, B!1), k12_nattra_1(A!0, C!2))) | (~l1_cat_1(C!2)) | (~v2_cat_1(C!2)) | (~v2_cat_1(B!1)) | (~l1_cat_1(B!1)) | (~v2_cat_1(A!0)) | (~l1_cat_1(A!0))) <=> ((~l1_cat_1(A!0)) | (~v2_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(k17_isocat_2(A!0, B!1, C!2), k12_nattra_1(A!0, k11_cat_2(B!1, C!2)), k11_cat_2(k12_nattra_1(A!0, B!1), k12_nattra_1(A!0, C!2))))),
% 0.63/0.71      inference(rewrite,[status(thm)],[])).
% 0.63/0.71  tff(196,plain,
% 0.63/0.71      (((~![A: $i, B: $i, C: $i] : (m2_cat_1(k17_isocat_2(A, B, C), k12_nattra_1(A, k11_cat_2(B, C)), k11_cat_2(k12_nattra_1(A, B), k12_nattra_1(A, C))) | (~l1_cat_1(C)) | (~v2_cat_1(C)) | (~v2_cat_1(B)) | (~l1_cat_1(B)) | (~v2_cat_1(A)) | (~l1_cat_1(A)))) | (m2_cat_1(k17_isocat_2(A!0, B!1, C!2), k12_nattra_1(A!0, k11_cat_2(B!1, C!2)), k11_cat_2(k12_nattra_1(A!0, B!1), k12_nattra_1(A!0, C!2))) | (~l1_cat_1(C!2)) | (~v2_cat_1(C!2)) | (~v2_cat_1(B!1)) | (~l1_cat_1(B!1)) | (~v2_cat_1(A!0)) | (~l1_cat_1(A!0)))) <=> ((~![A: $i, B: $i, C: $i] : (m2_cat_1(k17_isocat_2(A, B, C), k12_nattra_1(A, k11_cat_2(B, C)), k11_cat_2(k12_nattra_1(A, B), k12_nattra_1(A, C))) | (~l1_cat_1(C)) | (~v2_cat_1(C)) | (~v2_cat_1(B)) | (~l1_cat_1(B)) | (~v2_cat_1(A)) | (~l1_cat_1(A)))) | ((~l1_cat_1(A!0)) | (~v2_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(k17_isocat_2(A!0, B!1, C!2), k12_nattra_1(A!0, k11_cat_2(B!1, C!2)), k11_cat_2(k12_nattra_1(A!0, B!1), k12_nattra_1(A!0, C!2)))))),
% 0.63/0.71      inference(monotonicity,[status(thm)],[195])).
% 0.63/0.71  tff(197,plain,
% 0.63/0.71      (((~![A: $i, B: $i, C: $i] : (m2_cat_1(k17_isocat_2(A, B, C), k12_nattra_1(A, k11_cat_2(B, C)), k11_cat_2(k12_nattra_1(A, B), k12_nattra_1(A, C))) | (~l1_cat_1(C)) | (~v2_cat_1(C)) | (~v2_cat_1(B)) | (~l1_cat_1(B)) | (~v2_cat_1(A)) | (~l1_cat_1(A)))) | (m2_cat_1(k17_isocat_2(A!0, B!1, C!2), k12_nattra_1(A!0, k11_cat_2(B!1, C!2)), k11_cat_2(k12_nattra_1(A!0, B!1), k12_nattra_1(A!0, C!2))) | (~l1_cat_1(C!2)) | (~v2_cat_1(C!2)) | (~v2_cat_1(B!1)) | (~l1_cat_1(B!1)) | (~v2_cat_1(A!0)) | (~l1_cat_1(A!0)))) <=> ((~![A: $i, B: $i, C: $i] : (m2_cat_1(k17_isocat_2(A, B, C), k12_nattra_1(A, k11_cat_2(B, C)), k11_cat_2(k12_nattra_1(A, B), k12_nattra_1(A, C))) | (~l1_cat_1(C)) | (~v2_cat_1(C)) | (~v2_cat_1(B)) | (~l1_cat_1(B)) | (~v2_cat_1(A)) | (~l1_cat_1(A)))) | (~l1_cat_1(A!0)) | (~v2_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(k17_isocat_2(A!0, B!1, C!2), k12_nattra_1(A!0, k11_cat_2(B!1, C!2)), k11_cat_2(k12_nattra_1(A!0, B!1), k12_nattra_1(A!0, C!2))))),
% 0.63/0.71      inference(transitivity,[status(thm)],[196, 194])).
% 0.63/0.71  tff(198,plain,
% 0.63/0.71      ((~![A: $i, B: $i, C: $i] : (m2_cat_1(k17_isocat_2(A, B, C), k12_nattra_1(A, k11_cat_2(B, C)), k11_cat_2(k12_nattra_1(A, B), k12_nattra_1(A, C))) | (~l1_cat_1(C)) | (~v2_cat_1(C)) | (~v2_cat_1(B)) | (~l1_cat_1(B)) | (~v2_cat_1(A)) | (~l1_cat_1(A)))) | (m2_cat_1(k17_isocat_2(A!0, B!1, C!2), k12_nattra_1(A!0, k11_cat_2(B!1, C!2)), k11_cat_2(k12_nattra_1(A!0, B!1), k12_nattra_1(A!0, C!2))) | (~l1_cat_1(C!2)) | (~v2_cat_1(C!2)) | (~v2_cat_1(B!1)) | (~l1_cat_1(B!1)) | (~v2_cat_1(A!0)) | (~l1_cat_1(A!0)))),
% 0.63/0.71      inference(quant_inst,[status(thm)],[])).
% 0.63/0.71  tff(199,plain,
% 0.63/0.71      ((~![A: $i, B: $i, C: $i] : (m2_cat_1(k17_isocat_2(A, B, C), k12_nattra_1(A, k11_cat_2(B, C)), k11_cat_2(k12_nattra_1(A, B), k12_nattra_1(A, C))) | (~l1_cat_1(C)) | (~v2_cat_1(C)) | (~v2_cat_1(B)) | (~l1_cat_1(B)) | (~v2_cat_1(A)) | (~l1_cat_1(A)))) | (~l1_cat_1(A!0)) | (~v2_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(k17_isocat_2(A!0, B!1, C!2), k12_nattra_1(A!0, k11_cat_2(B!1, C!2)), k11_cat_2(k12_nattra_1(A!0, B!1), k12_nattra_1(A!0, C!2)))),
% 0.63/0.71      inference(modus_ponens,[status(thm)],[198, 197])).
% 0.63/0.71  tff(200,plain,
% 0.63/0.71      (m2_cat_1(k17_isocat_2(A!0, B!1, C!2), k12_nattra_1(A!0, k11_cat_2(B!1, C!2)), k11_cat_2(k12_nattra_1(A!0, B!1), k12_nattra_1(A!0, C!2)))),
% 0.63/0.71      inference(unit_resolution,[status(thm)],[199, 67, 66, 38, 37, 36, 35, 193])).
% 0.63/0.71  tff(201,plain,
% 0.63/0.71      (((~![C: $i] : ((~m2_cat_1(C, k12_nattra_1(A!0, k11_cat_2(B!1, C!2)), k11_cat_2(k12_nattra_1(A!0, B!1), k12_nattra_1(A!0, C!2)))) | (~v8_cat_1(C, k12_nattra_1(A!0, k11_cat_2(B!1, C!2)), k11_cat_2(k12_nattra_1(A!0, B!1), k12_nattra_1(A!0, C!2)))))) | ((~m2_cat_1(k17_isocat_2(A!0, B!1, C!2), k12_nattra_1(A!0, k11_cat_2(B!1, C!2)), k11_cat_2(k12_nattra_1(A!0, B!1), k12_nattra_1(A!0, C!2)))) | (~v8_cat_1(k17_isocat_2(A!0, B!1, C!2), k12_nattra_1(A!0, k11_cat_2(B!1, C!2)), k11_cat_2(k12_nattra_1(A!0, B!1), k12_nattra_1(A!0, C!2)))))) <=> ((~![C: $i] : ((~m2_cat_1(C, k12_nattra_1(A!0, k11_cat_2(B!1, C!2)), k11_cat_2(k12_nattra_1(A!0, B!1), k12_nattra_1(A!0, C!2)))) | (~v8_cat_1(C, k12_nattra_1(A!0, k11_cat_2(B!1, C!2)), k11_cat_2(k12_nattra_1(A!0, B!1), k12_nattra_1(A!0, C!2)))))) | (~m2_cat_1(k17_isocat_2(A!0, B!1, C!2), k12_nattra_1(A!0, k11_cat_2(B!1, C!2)), k11_cat_2(k12_nattra_1(A!0, B!1), k12_nattra_1(A!0, C!2)))) | (~v8_cat_1(k17_isocat_2(A!0, B!1, C!2), k12_nattra_1(A!0, k11_cat_2(B!1, C!2)), k11_cat_2(k12_nattra_1(A!0, B!1), k12_nattra_1(A!0, C!2)))))),
% 0.74/0.71      inference(rewrite,[status(thm)],[])).
% 0.74/0.71  tff(202,plain,
% 0.74/0.71      ((~![C: $i] : ((~m2_cat_1(C, k12_nattra_1(A!0, k11_cat_2(B!1, C!2)), k11_cat_2(k12_nattra_1(A!0, B!1), k12_nattra_1(A!0, C!2)))) | (~v8_cat_1(C, k12_nattra_1(A!0, k11_cat_2(B!1, C!2)), k11_cat_2(k12_nattra_1(A!0, B!1), k12_nattra_1(A!0, C!2)))))) | ((~m2_cat_1(k17_isocat_2(A!0, B!1, C!2), k12_nattra_1(A!0, k11_cat_2(B!1, C!2)), k11_cat_2(k12_nattra_1(A!0, B!1), k12_nattra_1(A!0, C!2)))) | (~v8_cat_1(k17_isocat_2(A!0, B!1, C!2), k12_nattra_1(A!0, k11_cat_2(B!1, C!2)), k11_cat_2(k12_nattra_1(A!0, B!1), k12_nattra_1(A!0, C!2)))))),
% 0.74/0.71      inference(quant_inst,[status(thm)],[])).
% 0.74/0.71  tff(203,plain,
% 0.74/0.71      ((~![C: $i] : ((~m2_cat_1(C, k12_nattra_1(A!0, k11_cat_2(B!1, C!2)), k11_cat_2(k12_nattra_1(A!0, B!1), k12_nattra_1(A!0, C!2)))) | (~v8_cat_1(C, k12_nattra_1(A!0, k11_cat_2(B!1, C!2)), k11_cat_2(k12_nattra_1(A!0, B!1), k12_nattra_1(A!0, C!2)))))) | (~m2_cat_1(k17_isocat_2(A!0, B!1, C!2), k12_nattra_1(A!0, k11_cat_2(B!1, C!2)), k11_cat_2(k12_nattra_1(A!0, B!1), k12_nattra_1(A!0, C!2)))) | (~v8_cat_1(k17_isocat_2(A!0, B!1, C!2), k12_nattra_1(A!0, k11_cat_2(B!1, C!2)), k11_cat_2(k12_nattra_1(A!0, B!1), k12_nattra_1(A!0, C!2))))),
% 0.74/0.71      inference(modus_ponens,[status(thm)],[202, 201])).
% 0.74/0.71  tff(204,plain,
% 0.74/0.71      ($false),
% 0.74/0.71      inference(unit_resolution,[status(thm)],[203, 200, 180, 149])).
% 0.74/0.71  % SZS output end Proof
%------------------------------------------------------------------------------