%------------------------------------------------------------------------------
% File     : Z3---4.8.9.0
% Problem  : SWV094+1 : TPTP v8.1.0. Bugfixed v3.3.0.
% Transfm  : none
% Format   : tptp
% Command  : z3_tptp -proof -model -t:%d -file:%s

% Computer : n013.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 : Thu Sep 29 15:09:57 EDT 2022

% Result   : Theorem 0.20s 0.52s
% Output   : Assurance 0s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : SWV094+1 : TPTP v8.1.0. Bugfixed v3.3.0.
% 0.07/0.13  % Command  : z3_tptp -proof -model -t:%d -file:%s
% 0.14/0.33  % Computer : n013.cluster.edu
% 0.14/0.33  % Model    : x86_64 x86_64
% 0.14/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.33  % Memory   : 8042.1875MB
% 0.14/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.33  % CPULimit : 300
% 0.14/0.34  % WCLimit  : 300
% 0.14/0.34  % DateTime : Sun Sep  4 01:17:32 EDT 2022
% 0.14/0.34  % CPUTime  : 
% 0.14/0.34  Z3tptp [4.8.9.0] (c) 2006-20**. Microsoft Corp.
% 0.14/0.34  Usage: tptp [options] [-file:]file
% 0.14/0.34    -h, -?       prints this message.
% 0.14/0.34    -smt2        print SMT-LIB2 benchmark.
% 0.14/0.34    -m, -model   generate model.
% 0.14/0.34    -p, -proof   generate proof.
% 0.14/0.34    -c, -core    generate unsat core of named formulas.
% 0.14/0.34    -st, -statistics display statistics.
% 0.14/0.34    -t:timeout   set timeout (in second).
% 0.14/0.34    -smt2status  display status in smt2 format instead of SZS.
% 0.14/0.34    -check_status check the status produced by Z3 against annotation in benchmark.
% 0.14/0.34    -<param>:<value> configuration parameter and value.
% 0.14/0.34    -o:<output-file> file to place output in.
% 0.20/0.52  % SZS status Theorem
% 0.20/0.52  % SZS output start Proof
% 0.20/0.52  tff(a_select3_type, type, (
% 0.20/0.52     a_select3: ( $i * $i * $i ) > $i)).
% 0.20/0.52  tff(succ_type, type, (
% 0.20/0.52     succ: $i > $i)).
% 0.20/0.52  tff(tptp_minus_1_type, type, (
% 0.20/0.52     tptp_minus_1: $i)).
% 0.20/0.52  tff(u_defuse_type, type, (
% 0.20/0.52     u_defuse: $i)).
% 0.20/0.52  tff(tptp_fun_D_13_type, type, (
% 0.20/0.52     tptp_fun_D_13: $i)).
% 0.20/0.52  tff(tptp_fun_C_14_type, type, (
% 0.20/0.52     tptp_fun_C_14: $i)).
% 0.20/0.52  tff(z_defuse_type, type, (
% 0.20/0.52     z_defuse: $i)).
% 0.20/0.52  tff(leq_type, type, (
% 0.20/0.52     leq: ( $i * $i ) > $o)).
% 0.20/0.52  tff(minus_type, type, (
% 0.20/0.52     minus: ( $i * $i ) > $i)).
% 0.20/0.52  tff(pv5_type, type, (
% 0.20/0.52     pv5: $i)).
% 0.20/0.52  tff(pv52_type, type, (
% 0.20/0.52     pv52: $i)).
% 0.20/0.52  tff(pv51_type, type, (
% 0.20/0.52     pv51: $i)).
% 0.20/0.52  tff(tptp_fun_F_15_type, type, (
% 0.20/0.52     tptp_fun_F_15: $i)).
% 0.20/0.52  tff(tptp_fun_E_16_type, type, (
% 0.20/0.52     tptp_fun_E_16: $i)).
% 0.20/0.52  tff(a_select2_type, type, (
% 0.20/0.52     a_select2: ( $i * $i ) > $i)).
% 0.20/0.52  tff(sigma_defuse_type, type, (
% 0.20/0.52     sigma_defuse: $i)).
% 0.20/0.52  tff(rho_defuse_type, type, (
% 0.20/0.52     rho_defuse: $i)).
% 0.20/0.52  tff(use_type, type, (
% 0.20/0.52     use: $i)).
% 0.20/0.52  tff(n1_type, type, (
% 0.20/0.52     n1: $i)).
% 0.20/0.52  tff(n2_type, type, (
% 0.20/0.52     n2: $i)).
% 0.20/0.52  tff(n0_type, type, (
% 0.20/0.52     n0: $i)).
% 0.20/0.52  tff(n6_type, type, (
% 0.20/0.52     n6: $i)).
% 0.20/0.52  tff(n999_type, type, (
% 0.20/0.52     n999: $i)).
% 0.20/0.52  tff(n5_type, type, (
% 0.20/0.52     n5: $i)).
% 0.20/0.52  tff(xinit_noise_defuse_type, type, (
% 0.20/0.52     xinit_noise_defuse: $i)).
% 0.20/0.52  tff(n4_type, type, (
% 0.20/0.52     n4: $i)).
% 0.20/0.52  tff(n3_type, type, (
% 0.20/0.52     n3: $i)).
% 0.20/0.52  tff(xinit_mean_defuse_type, type, (
% 0.20/0.52     xinit_mean_defuse: $i)).
% 0.20/0.52  tff(xinit_defuse_type, type, (
% 0.20/0.52     xinit_defuse: $i)).
% 0.20/0.52  tff(1,assumption,(~((~(pv51 = pv52)) | (~leq(succ(tptp_minus_1), E!16)) | (~leq(succ(tptp_minus_1), F!15)) | (~leq(E!16, succ(succ(succ(tptp_minus_1))))) | (~leq(F!15, minus(pv5, succ(succ(tptp_minus_1))))) | (~((~(a_select3(u_defuse, E!16, F!15) = a_select3(u_defuse, succ(tptp_minus_1), succ(tptp_minus_1)))) | (~(a_select3(z_defuse, E!16, F!15) = a_select3(u_defuse, succ(tptp_minus_1), succ(tptp_minus_1)))))))), introduced(assumption)).
% 0.20/0.52  tff(2,plain,
% 0.20/0.52      (((~(pv51 = pv52)) | (~leq(succ(tptp_minus_1), E!16)) | (~leq(succ(tptp_minus_1), F!15)) | (~leq(E!16, succ(succ(succ(tptp_minus_1))))) | (~leq(F!15, minus(pv5, succ(succ(tptp_minus_1))))) | (~((~(a_select3(u_defuse, E!16, F!15) = a_select3(u_defuse, succ(tptp_minus_1), succ(tptp_minus_1)))) | (~(a_select3(z_defuse, E!16, F!15) = a_select3(u_defuse, succ(tptp_minus_1), succ(tptp_minus_1))))))) | ((~(a_select3(u_defuse, E!16, F!15) = a_select3(u_defuse, succ(tptp_minus_1), succ(tptp_minus_1)))) | (~(a_select3(z_defuse, E!16, F!15) = a_select3(u_defuse, succ(tptp_minus_1), succ(tptp_minus_1)))))),
% 0.20/0.52      inference(tautology,[status(thm)],[])).
% 0.20/0.52  tff(3,plain,
% 0.20/0.52      ((~(a_select3(u_defuse, E!16, F!15) = a_select3(u_defuse, succ(tptp_minus_1), succ(tptp_minus_1)))) | (~(a_select3(z_defuse, E!16, F!15) = a_select3(u_defuse, succ(tptp_minus_1), succ(tptp_minus_1))))),
% 0.20/0.52      inference(unit_resolution,[status(thm)],[2, 1])).
% 0.20/0.52  tff(4,plain,
% 0.20/0.52      (((~(pv51 = pv52)) | (~leq(succ(tptp_minus_1), E!16)) | (~leq(succ(tptp_minus_1), F!15)) | (~leq(E!16, succ(succ(succ(tptp_minus_1))))) | (~leq(F!15, minus(pv5, succ(succ(tptp_minus_1))))) | (~((~(a_select3(u_defuse, E!16, F!15) = a_select3(u_defuse, succ(tptp_minus_1), succ(tptp_minus_1)))) | (~(a_select3(z_defuse, E!16, F!15) = a_select3(u_defuse, succ(tptp_minus_1), succ(tptp_minus_1))))))) | leq(F!15, minus(pv5, succ(succ(tptp_minus_1))))),
% 0.20/0.52      inference(tautology,[status(thm)],[])).
% 0.20/0.52  tff(5,plain,
% 0.20/0.52      (leq(F!15, minus(pv5, succ(succ(tptp_minus_1))))),
% 0.20/0.52      inference(unit_resolution,[status(thm)],[4, 1])).
% 0.20/0.52  tff(6,plain,
% 0.20/0.52      (((~(pv51 = pv52)) | (~leq(succ(tptp_minus_1), E!16)) | (~leq(succ(tptp_minus_1), F!15)) | (~leq(E!16, succ(succ(succ(tptp_minus_1))))) | (~leq(F!15, minus(pv5, succ(succ(tptp_minus_1))))) | (~((~(a_select3(u_defuse, E!16, F!15) = a_select3(u_defuse, succ(tptp_minus_1), succ(tptp_minus_1)))) | (~(a_select3(z_defuse, E!16, F!15) = a_select3(u_defuse, succ(tptp_minus_1), succ(tptp_minus_1))))))) | leq(E!16, succ(succ(succ(tptp_minus_1))))),
% 0.20/0.52      inference(tautology,[status(thm)],[])).
% 0.20/0.52  tff(7,plain,
% 0.20/0.52      (leq(E!16, succ(succ(succ(tptp_minus_1))))),
% 0.20/0.52      inference(unit_resolution,[status(thm)],[6, 1])).
% 0.20/0.52  tff(8,plain,
% 0.20/0.52      (((~(pv51 = pv52)) | (~leq(succ(tptp_minus_1), E!16)) | (~leq(succ(tptp_minus_1), F!15)) | (~leq(E!16, succ(succ(succ(tptp_minus_1))))) | (~leq(F!15, minus(pv5, succ(succ(tptp_minus_1))))) | (~((~(a_select3(u_defuse, E!16, F!15) = a_select3(u_defuse, succ(tptp_minus_1), succ(tptp_minus_1)))) | (~(a_select3(z_defuse, E!16, F!15) = a_select3(u_defuse, succ(tptp_minus_1), succ(tptp_minus_1))))))) | leq(succ(tptp_minus_1), F!15)),
% 0.20/0.52      inference(tautology,[status(thm)],[])).
% 0.20/0.52  tff(9,plain,
% 0.20/0.52      (leq(succ(tptp_minus_1), F!15)),
% 0.20/0.52      inference(unit_resolution,[status(thm)],[8, 1])).
% 0.20/0.52  tff(10,plain,
% 0.20/0.52      (((~(pv51 = pv52)) | (~leq(succ(tptp_minus_1), E!16)) | (~leq(succ(tptp_minus_1), F!15)) | (~leq(E!16, succ(succ(succ(tptp_minus_1))))) | (~leq(F!15, minus(pv5, succ(succ(tptp_minus_1))))) | (~((~(a_select3(u_defuse, E!16, F!15) = a_select3(u_defuse, succ(tptp_minus_1), succ(tptp_minus_1)))) | (~(a_select3(z_defuse, E!16, F!15) = a_select3(u_defuse, succ(tptp_minus_1), succ(tptp_minus_1))))))) | leq(succ(tptp_minus_1), E!16)),
% 0.20/0.52      inference(tautology,[status(thm)],[])).
% 0.20/0.52  tff(11,plain,
% 0.20/0.52      (leq(succ(tptp_minus_1), E!16)),
% 0.20/0.52      inference(unit_resolution,[status(thm)],[10, 1])).
% 0.20/0.52  tff(12,plain,
% 0.20/0.52      (^[A: $i, B: $i] : refl(((~leq(succ(tptp_minus_1), A)) | (~leq(succ(tptp_minus_1), B)) | (~leq(A, succ(succ(succ(tptp_minus_1))))) | (~leq(B, minus(pv5, succ(succ(tptp_minus_1))))) | (~((~(a_select3(u_defuse, A, B) = a_select3(u_defuse, succ(tptp_minus_1), succ(tptp_minus_1)))) | (~(a_select3(z_defuse, A, B) = a_select3(u_defuse, succ(tptp_minus_1), succ(tptp_minus_1))))))) <=> ((~leq(succ(tptp_minus_1), A)) | (~leq(succ(tptp_minus_1), B)) | (~leq(A, succ(succ(succ(tptp_minus_1))))) | (~leq(B, minus(pv5, succ(succ(tptp_minus_1))))) | (~((~(a_select3(u_defuse, A, B) = a_select3(u_defuse, succ(tptp_minus_1), succ(tptp_minus_1)))) | (~(a_select3(z_defuse, A, B) = a_select3(u_defuse, succ(tptp_minus_1), succ(tptp_minus_1))))))))),
% 0.20/0.52      inference(bind,[status(th)],[])).
% 0.20/0.52  tff(13,plain,
% 0.20/0.52      (![A: $i, B: $i] : ((~leq(succ(tptp_minus_1), A)) | (~leq(succ(tptp_minus_1), B)) | (~leq(A, succ(succ(succ(tptp_minus_1))))) | (~leq(B, minus(pv5, succ(succ(tptp_minus_1))))) | (~((~(a_select3(u_defuse, A, B) = a_select3(u_defuse, succ(tptp_minus_1), succ(tptp_minus_1)))) | (~(a_select3(z_defuse, A, B) = a_select3(u_defuse, succ(tptp_minus_1), succ(tptp_minus_1))))))) <=> ![A: $i, B: $i] : ((~leq(succ(tptp_minus_1), A)) | (~leq(succ(tptp_minus_1), B)) | (~leq(A, succ(succ(succ(tptp_minus_1))))) | (~leq(B, minus(pv5, succ(succ(tptp_minus_1))))) | (~((~(a_select3(u_defuse, A, B) = a_select3(u_defuse, succ(tptp_minus_1), succ(tptp_minus_1)))) | (~(a_select3(z_defuse, A, B) = a_select3(u_defuse, succ(tptp_minus_1), succ(tptp_minus_1)))))))),
% 0.20/0.52      inference(quant_intro,[status(thm)],[12])).
% 0.20/0.52  tff(14,plain,
% 0.20/0.52      (^[A: $i, B: $i] : trans(monotonicity(trans(monotonicity(rewrite((leq(succ(tptp_minus_1), A) & leq(succ(tptp_minus_1), B) & leq(A, succ(succ(succ(tptp_minus_1)))) & leq(B, minus(pv5, succ(succ(tptp_minus_1))))) <=> (~((~leq(succ(tptp_minus_1), A)) | (~leq(succ(tptp_minus_1), B)) | (~leq(A, succ(succ(succ(tptp_minus_1))))) | (~leq(B, minus(pv5, succ(succ(tptp_minus_1)))))))), ((~(leq(succ(tptp_minus_1), A) & leq(succ(tptp_minus_1), B) & leq(A, succ(succ(succ(tptp_minus_1)))) & leq(B, minus(pv5, succ(succ(tptp_minus_1)))))) <=> (~(~((~leq(succ(tptp_minus_1), A)) | (~leq(succ(tptp_minus_1), B)) | (~leq(A, succ(succ(succ(tptp_minus_1))))) | (~leq(B, minus(pv5, succ(succ(tptp_minus_1)))))))))), rewrite((~(~((~leq(succ(tptp_minus_1), A)) | (~leq(succ(tptp_minus_1), B)) | (~leq(A, succ(succ(succ(tptp_minus_1))))) | (~leq(B, minus(pv5, succ(succ(tptp_minus_1)))))))) <=> ((~leq(succ(tptp_minus_1), A)) | (~leq(succ(tptp_minus_1), B)) | (~leq(A, succ(succ(succ(tptp_minus_1))))) | (~leq(B, minus(pv5, succ(succ(tptp_minus_1))))))), ((~(leq(succ(tptp_minus_1), A) & leq(succ(tptp_minus_1), B) & leq(A, succ(succ(succ(tptp_minus_1)))) & leq(B, minus(pv5, succ(succ(tptp_minus_1)))))) <=> ((~leq(succ(tptp_minus_1), A)) | (~leq(succ(tptp_minus_1), B)) | (~leq(A, succ(succ(succ(tptp_minus_1))))) | (~leq(B, minus(pv5, succ(succ(tptp_minus_1)))))))), rewrite(((a_select3(u_defuse, A, B) = a_select3(u_defuse, succ(tptp_minus_1), succ(tptp_minus_1))) & (a_select3(z_defuse, A, B) = a_select3(u_defuse, succ(tptp_minus_1), succ(tptp_minus_1)))) <=> (~((~(a_select3(u_defuse, A, B) = a_select3(u_defuse, succ(tptp_minus_1), succ(tptp_minus_1)))) | (~(a_select3(z_defuse, A, B) = a_select3(u_defuse, succ(tptp_minus_1), succ(tptp_minus_1))))))), (((~(leq(succ(tptp_minus_1), A) & leq(succ(tptp_minus_1), B) & leq(A, succ(succ(succ(tptp_minus_1)))) & leq(B, minus(pv5, succ(succ(tptp_minus_1)))))) | ((a_select3(u_defuse, A, B) = a_select3(u_defuse, succ(tptp_minus_1), succ(tptp_minus_1))) & (a_select3(z_defuse, A, B) = a_select3(u_defuse, succ(tptp_minus_1), succ(tptp_minus_1))))) <=> (((~leq(succ(tptp_minus_1), A)) | (~leq(succ(tptp_minus_1), B)) | (~leq(A, succ(succ(succ(tptp_minus_1))))) | (~leq(B, minus(pv5, succ(succ(tptp_minus_1)))))) | (~((~(a_select3(u_defuse, A, B) = a_select3(u_defuse, succ(tptp_minus_1), succ(tptp_minus_1)))) | (~(a_select3(z_defuse, A, B) = a_select3(u_defuse, succ(tptp_minus_1), succ(tptp_minus_1))))))))), rewrite((((~leq(succ(tptp_minus_1), A)) | (~leq(succ(tptp_minus_1), B)) | (~leq(A, succ(succ(succ(tptp_minus_1))))) | (~leq(B, minus(pv5, succ(succ(tptp_minus_1)))))) | (~((~(a_select3(u_defuse, A, B) = a_select3(u_defuse, succ(tptp_minus_1), succ(tptp_minus_1)))) | (~(a_select3(z_defuse, A, B) = a_select3(u_defuse, succ(tptp_minus_1), succ(tptp_minus_1))))))) <=> ((~leq(succ(tptp_minus_1), A)) | (~leq(succ(tptp_minus_1), B)) | (~leq(A, succ(succ(succ(tptp_minus_1))))) | (~leq(B, minus(pv5, succ(succ(tptp_minus_1))))) | (~((~(a_select3(u_defuse, A, B) = a_select3(u_defuse, succ(tptp_minus_1), succ(tptp_minus_1)))) | (~(a_select3(z_defuse, A, B) = a_select3(u_defuse, succ(tptp_minus_1), succ(tptp_minus_1)))))))), (((~(leq(succ(tptp_minus_1), A) & leq(succ(tptp_minus_1), B) & leq(A, succ(succ(succ(tptp_minus_1)))) & leq(B, minus(pv5, succ(succ(tptp_minus_1)))))) | ((a_select3(u_defuse, A, B) = a_select3(u_defuse, succ(tptp_minus_1), succ(tptp_minus_1))) & (a_select3(z_defuse, A, B) = a_select3(u_defuse, succ(tptp_minus_1), succ(tptp_minus_1))))) <=> ((~leq(succ(tptp_minus_1), A)) | (~leq(succ(tptp_minus_1), B)) | (~leq(A, succ(succ(succ(tptp_minus_1))))) | (~leq(B, minus(pv5, succ(succ(tptp_minus_1))))) | (~((~(a_select3(u_defuse, A, B) = a_select3(u_defuse, succ(tptp_minus_1), succ(tptp_minus_1)))) | (~(a_select3(z_defuse, A, B) = a_select3(u_defuse, succ(tptp_minus_1), succ(tptp_minus_1)))))))))),
% 0.20/0.52      inference(bind,[status(th)],[])).
% 0.20/0.52  tff(15,plain,
% 0.20/0.52      (![A: $i, B: $i] : ((~(leq(succ(tptp_minus_1), A) & leq(succ(tptp_minus_1), B) & leq(A, succ(succ(succ(tptp_minus_1)))) & leq(B, minus(pv5, succ(succ(tptp_minus_1)))))) | ((a_select3(u_defuse, A, B) = a_select3(u_defuse, succ(tptp_minus_1), succ(tptp_minus_1))) & (a_select3(z_defuse, A, B) = a_select3(u_defuse, succ(tptp_minus_1), succ(tptp_minus_1))))) <=> ![A: $i, B: $i] : ((~leq(succ(tptp_minus_1), A)) | (~leq(succ(tptp_minus_1), B)) | (~leq(A, succ(succ(succ(tptp_minus_1))))) | (~leq(B, minus(pv5, succ(succ(tptp_minus_1))))) | (~((~(a_select3(u_defuse, A, B) = a_select3(u_defuse, succ(tptp_minus_1), succ(tptp_minus_1)))) | (~(a_select3(z_defuse, A, B) = a_select3(u_defuse, succ(tptp_minus_1), succ(tptp_minus_1)))))))),
% 0.20/0.52      inference(quant_intro,[status(thm)],[14])).
% 0.20/0.52  tff(16,plain,
% 0.20/0.52      (^[A: $i, B: $i] : rewrite(((~(leq(succ(tptp_minus_1), A) & leq(succ(tptp_minus_1), B) & leq(A, succ(succ(succ(tptp_minus_1)))) & leq(B, minus(pv5, succ(succ(tptp_minus_1)))))) | ((a_select3(u_defuse, A, B) = a_select2(sigma_defuse, succ(tptp_minus_1))) & (a_select3(z_defuse, A, B) = a_select2(sigma_defuse, succ(tptp_minus_1))))) <=> ((~(leq(succ(tptp_minus_1), A) & leq(succ(tptp_minus_1), B) & leq(A, succ(succ(succ(tptp_minus_1)))) & leq(B, minus(pv5, succ(succ(tptp_minus_1)))))) | ((a_select3(u_defuse, A, B) = a_select3(u_defuse, succ(tptp_minus_1), succ(tptp_minus_1))) & (a_select3(z_defuse, A, B) = a_select3(u_defuse, succ(tptp_minus_1), succ(tptp_minus_1))))))),
% 0.20/0.52      inference(bind,[status(th)],[])).
% 0.20/0.52  tff(17,plain,
% 0.20/0.52      (![A: $i, B: $i] : ((~(leq(succ(tptp_minus_1), A) & leq(succ(tptp_minus_1), B) & leq(A, succ(succ(succ(tptp_minus_1)))) & leq(B, minus(pv5, succ(succ(tptp_minus_1)))))) | ((a_select3(u_defuse, A, B) = a_select2(sigma_defuse, succ(tptp_minus_1))) & (a_select3(z_defuse, A, B) = a_select2(sigma_defuse, succ(tptp_minus_1))))) <=> ![A: $i, B: $i] : ((~(leq(succ(tptp_minus_1), A) & leq(succ(tptp_minus_1), B) & leq(A, succ(succ(succ(tptp_minus_1)))) & leq(B, minus(pv5, succ(succ(tptp_minus_1)))))) | ((a_select3(u_defuse, A, B) = a_select3(u_defuse, succ(tptp_minus_1), succ(tptp_minus_1))) & (a_select3(z_defuse, A, B) = a_select3(u_defuse, succ(tptp_minus_1), succ(tptp_minus_1)))))),
% 0.20/0.52      inference(quant_intro,[status(thm)],[16])).
% 0.20/0.52  tff(18,plain,
% 0.20/0.52      (^[A: $i, B: $i] : rewrite(((~(leq(succ(tptp_minus_1), A) & leq(succ(tptp_minus_1), B) & leq(A, succ(succ(succ(tptp_minus_1)))) & leq(B, minus(pv5, succ(succ(tptp_minus_1)))))) | ((a_select3(u_defuse, A, B) = a_select2(rho_defuse, succ(tptp_minus_1))) & (a_select3(z_defuse, A, B) = a_select2(rho_defuse, succ(tptp_minus_1))))) <=> ((~(leq(succ(tptp_minus_1), A) & leq(succ(tptp_minus_1), B) & leq(A, succ(succ(succ(tptp_minus_1)))) & leq(B, minus(pv5, succ(succ(tptp_minus_1)))))) | ((a_select3(u_defuse, A, B) = a_select2(sigma_defuse, succ(tptp_minus_1))) & (a_select3(z_defuse, A, B) = a_select2(sigma_defuse, succ(tptp_minus_1))))))),
% 0.20/0.52      inference(bind,[status(th)],[])).
% 0.20/0.52  tff(19,plain,
% 0.20/0.52      (![A: $i, B: $i] : ((~(leq(succ(tptp_minus_1), A) & leq(succ(tptp_minus_1), B) & leq(A, succ(succ(succ(tptp_minus_1)))) & leq(B, minus(pv5, succ(succ(tptp_minus_1)))))) | ((a_select3(u_defuse, A, B) = a_select2(rho_defuse, succ(tptp_minus_1))) & (a_select3(z_defuse, A, B) = a_select2(rho_defuse, succ(tptp_minus_1))))) <=> ![A: $i, B: $i] : ((~(leq(succ(tptp_minus_1), A) & leq(succ(tptp_minus_1), B) & leq(A, succ(succ(succ(tptp_minus_1)))) & leq(B, minus(pv5, succ(succ(tptp_minus_1)))))) | ((a_select3(u_defuse, A, B) = a_select2(sigma_defuse, succ(tptp_minus_1))) & (a_select3(z_defuse, A, B) = a_select2(sigma_defuse, succ(tptp_minus_1)))))),
% 0.20/0.52      inference(quant_intro,[status(thm)],[18])).
% 0.20/0.52  tff(20,plain,
% 0.20/0.52      (^[A: $i, B: $i] : rewrite(((~(leq(n0, A) & leq(n0, B) & leq(A, n2) & leq(B, minus(pv5, n1)))) | ((a_select3(u_defuse, A, B) = use) & (a_select3(z_defuse, A, B) = use))) <=> ((~(leq(succ(tptp_minus_1), A) & leq(succ(tptp_minus_1), B) & leq(A, succ(succ(succ(tptp_minus_1)))) & leq(B, minus(pv5, succ(succ(tptp_minus_1)))))) | ((a_select3(u_defuse, A, B) = a_select2(rho_defuse, succ(tptp_minus_1))) & (a_select3(z_defuse, A, B) = a_select2(rho_defuse, succ(tptp_minus_1))))))),
% 0.20/0.52      inference(bind,[status(th)],[])).
% 0.20/0.52  tff(21,plain,
% 0.20/0.52      (![A: $i, B: $i] : ((~(leq(n0, A) & leq(n0, B) & leq(A, n2) & leq(B, minus(pv5, n1)))) | ((a_select3(u_defuse, A, B) = use) & (a_select3(z_defuse, A, B) = use))) <=> ![A: $i, B: $i] : ((~(leq(succ(tptp_minus_1), A) & leq(succ(tptp_minus_1), B) & leq(A, succ(succ(succ(tptp_minus_1)))) & leq(B, minus(pv5, succ(succ(tptp_minus_1)))))) | ((a_select3(u_defuse, A, B) = a_select2(rho_defuse, succ(tptp_minus_1))) & (a_select3(z_defuse, A, B) = a_select2(rho_defuse, succ(tptp_minus_1)))))),
% 0.20/0.52      inference(quant_intro,[status(thm)],[20])).
% 0.20/0.52  tff(22,plain,
% 0.20/0.52      (![A: $i, B: $i] : ((~(leq(n0, A) & leq(n0, B) & leq(A, n2) & leq(B, minus(pv5, n1)))) | ((a_select3(u_defuse, A, B) = use) & (a_select3(z_defuse, A, B) = use))) <=> ![A: $i, B: $i] : ((~(leq(n0, A) & leq(n0, B) & leq(A, n2) & leq(B, minus(pv5, n1)))) | ((a_select3(u_defuse, A, B) = use) & (a_select3(z_defuse, A, B) = use)))),
% 0.20/0.52      inference(rewrite,[status(thm)],[])).
% 0.20/0.52  tff(23,plain,
% 0.20/0.52      ((~(((((((((((((((((((((((((((((((((((a_select2(rho_defuse, n0) = use) & (a_select2(rho_defuse, n1) = use)) & (a_select2(rho_defuse, n2) = use)) & (a_select2(sigma_defuse, n0) = use)) & (a_select2(sigma_defuse, n1) = use)) & (a_select2(sigma_defuse, n2) = use)) & (a_select2(sigma_defuse, n3) = use)) & (a_select2(sigma_defuse, n4) = use)) & (a_select2(sigma_defuse, n5) = use)) & (a_select3(u_defuse, n0, n0) = use)) & (a_select3(u_defuse, n1, n0) = use)) & (a_select3(u_defuse, n2, n0) = use)) & (a_select2(xinit_defuse, n3) = use)) & (a_select2(xinit_defuse, n4) = use)) & (a_select2(xinit_defuse, n5) = use)) & (a_select2(xinit_mean_defuse, n0) = use)) & (a_select2(xinit_mean_defuse, n1) = use)) & (a_select2(xinit_mean_defuse, n2) = use)) & (a_select2(xinit_mean_defuse, n3) = use)) & (a_select2(xinit_mean_defuse, n4) = use)) & (a_select2(xinit_mean_defuse, n5) = use)) & (a_select2(xinit_noise_defuse, n0) = use)) & (a_select2(xinit_noise_defuse, n1) = use)) & (a_select2(xinit_noise_defuse, n2) = use)) & (a_select2(xinit_noise_defuse, n3) = use)) & (a_select2(xinit_noise_defuse, n4) = use)) & (a_select2(xinit_noise_defuse, n5) = use)) & leq(n0, pv5)) & leq(n0, pv51)) & leq(n0, pv52)) & leq(pv5, minus(n999, n1))) & leq(pv51, minus(n6, n1))) & leq(pv52, minus(n6, n1))) & ![A: $i, B: $i] : ((((leq(n0, A) & leq(n0, B)) & leq(A, n2)) & leq(B, minus(pv5, n1))) => ((a_select3(u_defuse, A, B) = use) & (a_select3(z_defuse, A, B) = use)))) => (((~(pv51 = pv52)) => ((((((((((((((((((((((((((((((((a_select2(rho_defuse, n0) = use) & (a_select2(rho_defuse, n1) = use)) & (a_select2(rho_defuse, n2) = use)) & (a_select2(sigma_defuse, n0) = use)) & (a_select2(sigma_defuse, n1) = use)) & (a_select2(sigma_defuse, n2) = use)) & (a_select2(sigma_defuse, n3) = use)) & (a_select2(sigma_defuse, n4) = use)) & (a_select2(sigma_defuse, n5) = use)) & (a_select3(u_defuse, n0, n0) = use)) & (a_select3(u_defuse, n1, n0) = use)) & (a_select3(u_defuse, n2, n0) = use)) & (a_select2(xinit_defuse, n3) = use)) & (a_select2(xinit_defuse, n4) = use)) & (a_select2(xinit_defuse, n5) = use)) & (a_select2(xinit_mean_defuse, n0) = use)) & (a_select2(xinit_mean_defuse, n1) = use)) & (a_select2(xinit_mean_defuse, n2) = use)) & (a_select2(xinit_mean_defuse, n3) = use)) & (a_select2(xinit_mean_defuse, n4) = use)) & (a_select2(xinit_mean_defuse, n5) = use)) & (a_select2(xinit_noise_defuse, n0) = use)) & (a_select2(xinit_noise_defuse, n1) = use)) & (a_select2(xinit_noise_defuse, n2) = use)) & (a_select2(xinit_noise_defuse, n3) = use)) & (a_select2(xinit_noise_defuse, n4) = use)) & (a_select2(xinit_noise_defuse, n5) = use)) & leq(n0, pv5)) & leq(n0, pv51)) & leq(pv5, minus(n999, n1))) & leq(pv51, minus(n6, n1))) & ![C: $i, D: $i] : ((((leq(n0, C) & leq(n0, D)) & leq(C, n2)) & leq(D, minus(pv5, n1))) => ((a_select3(u_defuse, C, D) = use) & (a_select3(z_defuse, C, D) = use))))) & ((pv51 = pv52) => ((((((((((((((((((((((((((((((((a_select2(rho_defuse, n0) = use) & (a_select2(rho_defuse, n1) = use)) & (a_select2(rho_defuse, n2) = use)) & (a_select2(sigma_defuse, n0) = use)) & (a_select2(sigma_defuse, n1) = use)) & (a_select2(sigma_defuse, n2) = use)) & (a_select2(sigma_defuse, n3) = use)) & (a_select2(sigma_defuse, n4) = use)) & (a_select2(sigma_defuse, n5) = use)) & (a_select3(u_defuse, n0, n0) = use)) & (a_select3(u_defuse, n1, n0) = use)) & (a_select3(u_defuse, n2, n0) = use)) & (a_select2(xinit_defuse, n3) = use)) & (a_select2(xinit_defuse, n4) = use)) & (a_select2(xinit_defuse, n5) = use)) & (a_select2(xinit_mean_defuse, n0) = use)) & (a_select2(xinit_mean_defuse, n1) = use)) & (a_select2(xinit_mean_defuse, n2) = use)) & (a_select2(xinit_mean_defuse, n3) = use)) & (a_select2(xinit_mean_defuse, n4) = use)) & (a_select2(xinit_mean_defuse, n5) = use)) & (a_select2(xinit_noise_defuse, n0) = use)) & (a_select2(xinit_noise_defuse, n1) = use)) & (a_select2(xinit_noise_defuse, n2) = use)) & (a_select2(xinit_noise_defuse, n3) = use)) & (a_select2(xinit_noise_defuse, n4) = use)) & (a_select2(xinit_noise_defuse, n5) = use)) & leq(n0, pv5)) & leq(n0, pv51)) & leq(pv5, minus(n999, n1))) & leq(pv51, minus(n6, n1))) & ![E: $i, F: $i] : ((((leq(n0, E) & leq(n0, F)) & leq(E, n2)) & leq(F, minus(pv5, n1))) => ((a_select3(u_defuse, E, F) = use) & (a_select3(z_defuse, E, F) = use)))))))) <=> (~((~((a_select2(rho_defuse, n0) = use) & (a_select2(rho_defuse, n1) = use) & (a_select2(rho_defuse, n2) = use) & (a_select2(sigma_defuse, n0) = use) & (a_select2(sigma_defuse, n1) = use) & (a_select2(sigma_defuse, n2) = use) & (a_select2(sigma_defuse, n3) = use) & (a_select2(sigma_defuse, n4) = use) & (a_select2(sigma_defuse, n5) = use) & (a_select3(u_defuse, n0, n0) = use) & (a_select3(u_defuse, n1, n0) = use) & (a_select3(u_defuse, n2, n0) = use) & (a_select2(xinit_defuse, n3) = use) & (a_select2(xinit_defuse, n4) = use) & (a_select2(xinit_defuse, n5) = use) & (a_select2(xinit_mean_defuse, n0) = use) & (a_select2(xinit_mean_defuse, n1) = use) & (a_select2(xinit_mean_defuse, n2) = use) & (a_select2(xinit_mean_defuse, n3) = use) & (a_select2(xinit_mean_defuse, n4) = use) & (a_select2(xinit_mean_defuse, n5) = use) & (a_select2(xinit_noise_defuse, n0) = use) & (a_select2(xinit_noise_defuse, n1) = use) & (a_select2(xinit_noise_defuse, n2) = use) & (a_select2(xinit_noise_defuse, n3) = use) & (a_select2(xinit_noise_defuse, n4) = use) & (a_select2(xinit_noise_defuse, n5) = use) & leq(n0, pv5) & leq(n0, pv51) & leq(n0, pv52) & leq(pv5, minus(n999, n1)) & leq(pv51, minus(n6, n1)) & leq(pv52, minus(n6, n1)) & ![A: $i, B: $i] : ((~(leq(n0, A) & leq(n0, B) & leq(A, n2) & leq(B, minus(pv5, n1)))) | ((a_select3(u_defuse, A, B) = use) & (a_select3(z_defuse, A, B) = use))))) | (((pv51 = pv52) | ((a_select2(rho_defuse, n0) = use) & (a_select2(rho_defuse, n1) = use) & (a_select2(rho_defuse, n2) = use) & (a_select2(sigma_defuse, n0) = use) & (a_select2(sigma_defuse, n1) = use) & (a_select2(sigma_defuse, n2) = use) & (a_select2(sigma_defuse, n3) = use) & (a_select2(sigma_defuse, n4) = use) & (a_select2(sigma_defuse, n5) = use) & (a_select3(u_defuse, n0, n0) = use) & (a_select3(u_defuse, n1, n0) = use) & (a_select3(u_defuse, n2, n0) = use) & (a_select2(xinit_defuse, n3) = use) & (a_select2(xinit_defuse, n4) = use) & (a_select2(xinit_defuse, n5) = use) & (a_select2(xinit_mean_defuse, n0) = use) & (a_select2(xinit_mean_defuse, n1) = use) & (a_select2(xinit_mean_defuse, n2) = use) & (a_select2(xinit_mean_defuse, n3) = use) & (a_select2(xinit_mean_defuse, n4) = use) & (a_select2(xinit_mean_defuse, n5) = use) & (a_select2(xinit_noise_defuse, n0) = use) & (a_select2(xinit_noise_defuse, n1) = use) & (a_select2(xinit_noise_defuse, n2) = use) & (a_select2(xinit_noise_defuse, n3) = use) & (a_select2(xinit_noise_defuse, n4) = use) & (a_select2(xinit_noise_defuse, n5) = use) & leq(n0, pv5) & leq(n0, pv51) & leq(pv5, minus(n999, n1)) & leq(pv51, minus(n6, n1)) & ![C: $i, D: $i] : ((~(leq(n0, C) & leq(n0, D) & leq(C, n2) & leq(D, minus(pv5, n1)))) | ((a_select3(u_defuse, C, D) = use) & (a_select3(z_defuse, C, D) = use))))) & ((~(pv51 = pv52)) | ((a_select2(rho_defuse, n0) = use) & (a_select2(rho_defuse, n1) = use) & (a_select2(rho_defuse, n2) = use) & (a_select2(sigma_defuse, n0) = use) & (a_select2(sigma_defuse, n1) = use) & (a_select2(sigma_defuse, n2) = use) & (a_select2(sigma_defuse, n3) = use) & (a_select2(sigma_defuse, n4) = use) & (a_select2(sigma_defuse, n5) = use) & (a_select3(u_defuse, n0, n0) = use) & (a_select3(u_defuse, n1, n0) = use) & (a_select3(u_defuse, n2, n0) = use) & (a_select2(xinit_defuse, n3) = use) & (a_select2(xinit_defuse, n4) = use) & (a_select2(xinit_defuse, n5) = use) & (a_select2(xinit_mean_defuse, n0) = use) & (a_select2(xinit_mean_defuse, n1) = use) & (a_select2(xinit_mean_defuse, n2) = use) & (a_select2(xinit_mean_defuse, n3) = use) & (a_select2(xinit_mean_defuse, n4) = use) & (a_select2(xinit_mean_defuse, n5) = use) & (a_select2(xinit_noise_defuse, n0) = use) & (a_select2(xinit_noise_defuse, n1) = use) & (a_select2(xinit_noise_defuse, n2) = use) & (a_select2(xinit_noise_defuse, n3) = use) & (a_select2(xinit_noise_defuse, n4) = use) & (a_select2(xinit_noise_defuse, n5) = use) & leq(n0, pv5) & leq(n0, pv51) & leq(pv5, minus(n999, n1)) & leq(pv51, minus(n6, n1)) & ![E: $i, F: $i] : ((~(leq(n0, E) & leq(n0, F) & leq(E, n2) & leq(F, minus(pv5, n1)))) | ((a_select3(u_defuse, E, F) = use) & (a_select3(z_defuse, E, F) = use))))))))),
% 0.20/0.53      inference(rewrite,[status(thm)],[])).
% 0.20/0.53  tff(24,axiom,(~(((((((((((((((((((((((((((((((((((a_select2(rho_defuse, n0) = use) & (a_select2(rho_defuse, n1) = use)) & (a_select2(rho_defuse, n2) = use)) & (a_select2(sigma_defuse, n0) = use)) & (a_select2(sigma_defuse, n1) = use)) & (a_select2(sigma_defuse, n2) = use)) & (a_select2(sigma_defuse, n3) = use)) & (a_select2(sigma_defuse, n4) = use)) & (a_select2(sigma_defuse, n5) = use)) & (a_select3(u_defuse, n0, n0) = use)) & (a_select3(u_defuse, n1, n0) = use)) & (a_select3(u_defuse, n2, n0) = use)) & (a_select2(xinit_defuse, n3) = use)) & (a_select2(xinit_defuse, n4) = use)) & (a_select2(xinit_defuse, n5) = use)) & (a_select2(xinit_mean_defuse, n0) = use)) & (a_select2(xinit_mean_defuse, n1) = use)) & (a_select2(xinit_mean_defuse, n2) = use)) & (a_select2(xinit_mean_defuse, n3) = use)) & (a_select2(xinit_mean_defuse, n4) = use)) & (a_select2(xinit_mean_defuse, n5) = use)) & (a_select2(xinit_noise_defuse, n0) = use)) & (a_select2(xinit_noise_defuse, n1) = use)) & (a_select2(xinit_noise_defuse, n2) = use)) & (a_select2(xinit_noise_defuse, n3) = use)) & (a_select2(xinit_noise_defuse, n4) = use)) & (a_select2(xinit_noise_defuse, n5) = use)) & leq(n0, pv5)) & leq(n0, pv51)) & leq(n0, pv52)) & leq(pv5, minus(n999, n1))) & leq(pv51, minus(n6, n1))) & leq(pv52, minus(n6, n1))) & ![A: $i, B: $i] : ((((leq(n0, A) & leq(n0, B)) & leq(A, n2)) & leq(B, minus(pv5, n1))) => ((a_select3(u_defuse, A, B) = use) & (a_select3(z_defuse, A, B) = use)))) => (((~(pv51 = pv52)) => ((((((((((((((((((((((((((((((((a_select2(rho_defuse, n0) = use) & (a_select2(rho_defuse, n1) = use)) & (a_select2(rho_defuse, n2) = use)) & (a_select2(sigma_defuse, n0) = use)) & (a_select2(sigma_defuse, n1) = use)) & (a_select2(sigma_defuse, n2) = use)) & (a_select2(sigma_defuse, n3) = use)) & (a_select2(sigma_defuse, n4) = use)) & (a_select2(sigma_defuse, n5) = use)) & (a_select3(u_defuse, n0, n0) = use)) & (a_select3(u_defuse, n1, n0) = use)) & (a_select3(u_defuse, n2, n0) = use)) & (a_select2(xinit_defuse, n3) = use)) & (a_select2(xinit_defuse, n4) = use)) & (a_select2(xinit_defuse, n5) = use)) & (a_select2(xinit_mean_defuse, n0) = use)) & (a_select2(xinit_mean_defuse, n1) = use)) & (a_select2(xinit_mean_defuse, n2) = use)) & (a_select2(xinit_mean_defuse, n3) = use)) & (a_select2(xinit_mean_defuse, n4) = use)) & (a_select2(xinit_mean_defuse, n5) = use)) & (a_select2(xinit_noise_defuse, n0) = use)) & (a_select2(xinit_noise_defuse, n1) = use)) & (a_select2(xinit_noise_defuse, n2) = use)) & (a_select2(xinit_noise_defuse, n3) = use)) & (a_select2(xinit_noise_defuse, n4) = use)) & (a_select2(xinit_noise_defuse, n5) = use)) & leq(n0, pv5)) & leq(n0, pv51)) & leq(pv5, minus(n999, n1))) & leq(pv51, minus(n6, n1))) & ![C: $i, D: $i] : ((((leq(n0, C) & leq(n0, D)) & leq(C, n2)) & leq(D, minus(pv5, n1))) => ((a_select3(u_defuse, C, D) = use) & (a_select3(z_defuse, C, D) = use))))) & ((pv51 = pv52) => ((((((((((((((((((((((((((((((((a_select2(rho_defuse, n0) = use) & (a_select2(rho_defuse, n1) = use)) & (a_select2(rho_defuse, n2) = use)) & (a_select2(sigma_defuse, n0) = use)) & (a_select2(sigma_defuse, n1) = use)) & (a_select2(sigma_defuse, n2) = use)) & (a_select2(sigma_defuse, n3) = use)) & (a_select2(sigma_defuse, n4) = use)) & (a_select2(sigma_defuse, n5) = use)) & (a_select3(u_defuse, n0, n0) = use)) & (a_select3(u_defuse, n1, n0) = use)) & (a_select3(u_defuse, n2, n0) = use)) & (a_select2(xinit_defuse, n3) = use)) & (a_select2(xinit_defuse, n4) = use)) & (a_select2(xinit_defuse, n5) = use)) & (a_select2(xinit_mean_defuse, n0) = use)) & (a_select2(xinit_mean_defuse, n1) = use)) & (a_select2(xinit_mean_defuse, n2) = use)) & (a_select2(xinit_mean_defuse, n3) = use)) & (a_select2(xinit_mean_defuse, n4) = use)) & (a_select2(xinit_mean_defuse, n5) = use)) & (a_select2(xinit_noise_defuse, n0) = use)) & (a_select2(xinit_noise_defuse, n1) = use)) & (a_select2(xinit_noise_defuse, n2) = use)) & (a_select2(xinit_noise_defuse, n3) = use)) & (a_select2(xinit_noise_defuse, n4) = use)) & (a_select2(xinit_noise_defuse, n5) = use)) & leq(n0, pv5)) & leq(n0, pv51)) & leq(pv5, minus(n999, n1))) & leq(pv51, minus(n6, n1))) & ![E: $i, F: $i] : ((((leq(n0, E) & leq(n0, F)) & leq(E, n2)) & leq(F, minus(pv5, n1))) => ((a_select3(u_defuse, E, F) = use) & (a_select3(z_defuse, E, F) = use)))))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','quaternion_ds1_inuse_0006')).
% 0.20/0.54  tff(25,plain,
% 0.20/0.54      (~((~((a_select2(rho_defuse, n0) = use) & (a_select2(rho_defuse, n1) = use) & (a_select2(rho_defuse, n2) = use) & (a_select2(sigma_defuse, n0) = use) & (a_select2(sigma_defuse, n1) = use) & (a_select2(sigma_defuse, n2) = use) & (a_select2(sigma_defuse, n3) = use) & (a_select2(sigma_defuse, n4) = use) & (a_select2(sigma_defuse, n5) = use) & (a_select3(u_defuse, n0, n0) = use) & (a_select3(u_defuse, n1, n0) = use) & (a_select3(u_defuse, n2, n0) = use) & (a_select2(xinit_defuse, n3) = use) & (a_select2(xinit_defuse, n4) = use) & (a_select2(xinit_defuse, n5) = use) & (a_select2(xinit_mean_defuse, n0) = use) & (a_select2(xinit_mean_defuse, n1) = use) & (a_select2(xinit_mean_defuse, n2) = use) & (a_select2(xinit_mean_defuse, n3) = use) & (a_select2(xinit_mean_defuse, n4) = use) & (a_select2(xinit_mean_defuse, n5) = use) & (a_select2(xinit_noise_defuse, n0) = use) & (a_select2(xinit_noise_defuse, n1) = use) & (a_select2(xinit_noise_defuse, n2) = use) & (a_select2(xinit_noise_defuse, n3) = use) & (a_select2(xinit_noise_defuse, n4) = use) & (a_select2(xinit_noise_defuse, n5) = use) & leq(n0, pv5) & leq(n0, pv51) & leq(n0, pv52) & leq(pv5, minus(n999, n1)) & leq(pv51, minus(n6, n1)) & leq(pv52, minus(n6, n1)) & ![A: $i, B: $i] : ((~(leq(n0, A) & leq(n0, B) & leq(A, n2) & leq(B, minus(pv5, n1)))) | ((a_select3(u_defuse, A, B) = use) & (a_select3(z_defuse, A, B) = use))))) | (((pv51 = pv52) | ((a_select2(rho_defuse, n0) = use) & (a_select2(rho_defuse, n1) = use) & (a_select2(rho_defuse, n2) = use) & (a_select2(sigma_defuse, n0) = use) & (a_select2(sigma_defuse, n1) = use) & (a_select2(sigma_defuse, n2) = use) & (a_select2(sigma_defuse, n3) = use) & (a_select2(sigma_defuse, n4) = use) & (a_select2(sigma_defuse, n5) = use) & (a_select3(u_defuse, n0, n0) = use) & (a_select3(u_defuse, n1, n0) = use) & (a_select3(u_defuse, n2, n0) = use) & (a_select2(xinit_defuse, n3) = use) & (a_select2(xinit_defuse, n4) = use) & (a_select2(xinit_defuse, n5) = use) & (a_select2(xinit_mean_defuse, n0) = use) & (a_select2(xinit_mean_defuse, n1) = use) & (a_select2(xinit_mean_defuse, n2) = use) & (a_select2(xinit_mean_defuse, n3) = use) & (a_select2(xinit_mean_defuse, n4) = use) & (a_select2(xinit_mean_defuse, n5) = use) & (a_select2(xinit_noise_defuse, n0) = use) & (a_select2(xinit_noise_defuse, n1) = use) & (a_select2(xinit_noise_defuse, n2) = use) & (a_select2(xinit_noise_defuse, n3) = use) & (a_select2(xinit_noise_defuse, n4) = use) & (a_select2(xinit_noise_defuse, n5) = use) & leq(n0, pv5) & leq(n0, pv51) & leq(pv5, minus(n999, n1)) & leq(pv51, minus(n6, n1)) & ![C: $i, D: $i] : ((~(leq(n0, C) & leq(n0, D) & leq(C, n2) & leq(D, minus(pv5, n1)))) | ((a_select3(u_defuse, C, D) = use) & (a_select3(z_defuse, C, D) = use))))) & ((~(pv51 = pv52)) | ((a_select2(rho_defuse, n0) = use) & (a_select2(rho_defuse, n1) = use) & (a_select2(rho_defuse, n2) = use) & (a_select2(sigma_defuse, n0) = use) & (a_select2(sigma_defuse, n1) = use) & (a_select2(sigma_defuse, n2) = use) & (a_select2(sigma_defuse, n3) = use) & (a_select2(sigma_defuse, n4) = use) & (a_select2(sigma_defuse, n5) = use) & (a_select3(u_defuse, n0, n0) = use) & (a_select3(u_defuse, n1, n0) = use) & (a_select3(u_defuse, n2, n0) = use) & (a_select2(xinit_defuse, n3) = use) & (a_select2(xinit_defuse, n4) = use) & (a_select2(xinit_defuse, n5) = use) & (a_select2(xinit_mean_defuse, n0) = use) & (a_select2(xinit_mean_defuse, n1) = use) & (a_select2(xinit_mean_defuse, n2) = use) & (a_select2(xinit_mean_defuse, n3) = use) & (a_select2(xinit_mean_defuse, n4) = use) & (a_select2(xinit_mean_defuse, n5) = use) & (a_select2(xinit_noise_defuse, n0) = use) & (a_select2(xinit_noise_defuse, n1) = use) & (a_select2(xinit_noise_defuse, n2) = use) & (a_select2(xinit_noise_defuse, n3) = use) & (a_select2(xinit_noise_defuse, n4) = use) & (a_select2(xinit_noise_defuse, n5) = use) & leq(n0, pv5) & leq(n0, pv51) & leq(pv5, minus(n999, n1)) & leq(pv51, minus(n6, n1)) & ![E: $i, F: $i] : ((~(leq(n0, E) & leq(n0, F) & leq(E, n2) & leq(F, minus(pv5, n1)))) | ((a_select3(u_defuse, E, F) = use) & (a_select3(z_defuse, E, F) = use)))))))),
% 0.20/0.54      inference(modus_ponens,[status(thm)],[24, 23])).
% 0.20/0.54  tff(26,plain,
% 0.20/0.54      ((a_select2(rho_defuse, n0) = use) & (a_select2(rho_defuse, n1) = use) & (a_select2(rho_defuse, n2) = use) & (a_select2(sigma_defuse, n0) = use) & (a_select2(sigma_defuse, n1) = use) & (a_select2(sigma_defuse, n2) = use) & (a_select2(sigma_defuse, n3) = use) & (a_select2(sigma_defuse, n4) = use) & (a_select2(sigma_defuse, n5) = use) & (a_select3(u_defuse, n0, n0) = use) & (a_select3(u_defuse, n1, n0) = use) & (a_select3(u_defuse, n2, n0) = use) & (a_select2(xinit_defuse, n3) = use) & (a_select2(xinit_defuse, n4) = use) & (a_select2(xinit_defuse, n5) = use) & (a_select2(xinit_mean_defuse, n0) = use) & (a_select2(xinit_mean_defuse, n1) = use) & (a_select2(xinit_mean_defuse, n2) = use) & (a_select2(xinit_mean_defuse, n3) = use) & (a_select2(xinit_mean_defuse, n4) = use) & (a_select2(xinit_mean_defuse, n5) = use) & (a_select2(xinit_noise_defuse, n0) = use) & (a_select2(xinit_noise_defuse, n1) = use) & (a_select2(xinit_noise_defuse, n2) = use) & (a_select2(xinit_noise_defuse, n3) = use) & (a_select2(xinit_noise_defuse, n4) = use) & (a_select2(xinit_noise_defuse, n5) = use) & leq(n0, pv5) & leq(n0, pv51) & leq(n0, pv52) & leq(pv5, minus(n999, n1)) & leq(pv51, minus(n6, n1)) & leq(pv52, minus(n6, n1)) & ![A: $i, B: $i] : ((~(leq(n0, A) & leq(n0, B) & leq(A, n2) & leq(B, minus(pv5, n1)))) | ((a_select3(u_defuse, A, B) = use) & (a_select3(z_defuse, A, B) = use)))),
% 0.20/0.54      inference(or_elim,[status(thm)],[25])).
% 0.20/0.54  tff(27,plain,
% 0.20/0.54      (![A: $i, B: $i] : ((~(leq(n0, A) & leq(n0, B) & leq(A, n2) & leq(B, minus(pv5, n1)))) | ((a_select3(u_defuse, A, B) = use) & (a_select3(z_defuse, A, B) = use)))),
% 0.20/0.54      inference(and_elim,[status(thm)],[26])).
% 0.20/0.54  tff(28,plain,
% 0.20/0.54      (![A: $i, B: $i] : ((~(leq(n0, A) & leq(n0, B) & leq(A, n2) & leq(B, minus(pv5, n1)))) | ((a_select3(u_defuse, A, B) = use) & (a_select3(z_defuse, A, B) = use)))),
% 0.20/0.54      inference(modus_ponens,[status(thm)],[27, 22])).
% 0.20/0.54  tff(29,plain,
% 0.20/0.54      (![A: $i, B: $i] : ((~(leq(succ(tptp_minus_1), A) & leq(succ(tptp_minus_1), B) & leq(A, succ(succ(succ(tptp_minus_1)))) & leq(B, minus(pv5, succ(succ(tptp_minus_1)))))) | ((a_select3(u_defuse, A, B) = a_select2(rho_defuse, succ(tptp_minus_1))) & (a_select3(z_defuse, A, B) = a_select2(rho_defuse, succ(tptp_minus_1)))))),
% 0.20/0.54      inference(modus_ponens,[status(thm)],[28, 21])).
% 0.20/0.54  tff(30,plain,
% 0.20/0.54      (![A: $i, B: $i] : ((~(leq(succ(tptp_minus_1), A) & leq(succ(tptp_minus_1), B) & leq(A, succ(succ(succ(tptp_minus_1)))) & leq(B, minus(pv5, succ(succ(tptp_minus_1)))))) | ((a_select3(u_defuse, A, B) = a_select2(sigma_defuse, succ(tptp_minus_1))) & (a_select3(z_defuse, A, B) = a_select2(sigma_defuse, succ(tptp_minus_1)))))),
% 0.20/0.54      inference(modus_ponens,[status(thm)],[29, 19])).
% 0.20/0.54  tff(31,plain,
% 0.20/0.54      (![A: $i, B: $i] : ((~(leq(succ(tptp_minus_1), A) & leq(succ(tptp_minus_1), B) & leq(A, succ(succ(succ(tptp_minus_1)))) & leq(B, minus(pv5, succ(succ(tptp_minus_1)))))) | ((a_select3(u_defuse, A, B) = a_select3(u_defuse, succ(tptp_minus_1), succ(tptp_minus_1))) & (a_select3(z_defuse, A, B) = a_select3(u_defuse, succ(tptp_minus_1), succ(tptp_minus_1)))))),
% 0.20/0.54      inference(modus_ponens,[status(thm)],[30, 17])).
% 0.20/0.54  tff(32,plain,(
% 0.20/0.54      ![A: $i, B: $i] : ((~(leq(succ(tptp_minus_1), A) & leq(succ(tptp_minus_1), B) & leq(A, succ(succ(succ(tptp_minus_1)))) & leq(B, minus(pv5, succ(succ(tptp_minus_1)))))) | ((a_select3(u_defuse, A, B) = a_select3(u_defuse, succ(tptp_minus_1), succ(tptp_minus_1))) & (a_select3(z_defuse, A, B) = a_select3(u_defuse, succ(tptp_minus_1), succ(tptp_minus_1)))))),
% 0.20/0.54      inference(skolemize,[status(sab)],[31])).
% 0.20/0.54  tff(33,plain,
% 0.20/0.54      (![A: $i, B: $i] : ((~leq(succ(tptp_minus_1), A)) | (~leq(succ(tptp_minus_1), B)) | (~leq(A, succ(succ(succ(tptp_minus_1))))) | (~leq(B, minus(pv5, succ(succ(tptp_minus_1))))) | (~((~(a_select3(u_defuse, A, B) = a_select3(u_defuse, succ(tptp_minus_1), succ(tptp_minus_1)))) | (~(a_select3(z_defuse, A, B) = a_select3(u_defuse, succ(tptp_minus_1), succ(tptp_minus_1)))))))),
% 0.20/0.54      inference(modus_ponens,[status(thm)],[32, 15])).
% 0.20/0.54  tff(34,plain,
% 0.20/0.54      (![A: $i, B: $i] : ((~leq(succ(tptp_minus_1), A)) | (~leq(succ(tptp_minus_1), B)) | (~leq(A, succ(succ(succ(tptp_minus_1))))) | (~leq(B, minus(pv5, succ(succ(tptp_minus_1))))) | (~((~(a_select3(u_defuse, A, B) = a_select3(u_defuse, succ(tptp_minus_1), succ(tptp_minus_1)))) | (~(a_select3(z_defuse, A, B) = a_select3(u_defuse, succ(tptp_minus_1), succ(tptp_minus_1)))))))),
% 0.20/0.54      inference(modus_ponens,[status(thm)],[33, 13])).
% 0.20/0.54  tff(35,plain,
% 0.20/0.54      (((~![A: $i, B: $i] : ((~leq(succ(tptp_minus_1), A)) | (~leq(succ(tptp_minus_1), B)) | (~leq(A, succ(succ(succ(tptp_minus_1))))) | (~leq(B, minus(pv5, succ(succ(tptp_minus_1))))) | (~((~(a_select3(u_defuse, A, B) = a_select3(u_defuse, succ(tptp_minus_1), succ(tptp_minus_1)))) | (~(a_select3(z_defuse, A, B) = a_select3(u_defuse, succ(tptp_minus_1), succ(tptp_minus_1)))))))) | ((~leq(succ(tptp_minus_1), E!16)) | (~leq(succ(tptp_minus_1), F!15)) | (~leq(E!16, succ(succ(succ(tptp_minus_1))))) | (~leq(F!15, minus(pv5, succ(succ(tptp_minus_1))))) | (~((~(a_select3(u_defuse, E!16, F!15) = a_select3(u_defuse, succ(tptp_minus_1), succ(tptp_minus_1)))) | (~(a_select3(z_defuse, E!16, F!15) = a_select3(u_defuse, succ(tptp_minus_1), succ(tptp_minus_1)))))))) <=> ((~![A: $i, B: $i] : ((~leq(succ(tptp_minus_1), A)) | (~leq(succ(tptp_minus_1), B)) | (~leq(A, succ(succ(succ(tptp_minus_1))))) | (~leq(B, minus(pv5, succ(succ(tptp_minus_1))))) | (~((~(a_select3(u_defuse, A, B) = a_select3(u_defuse, succ(tptp_minus_1), succ(tptp_minus_1)))) | (~(a_select3(z_defuse, A, B) = a_select3(u_defuse, succ(tptp_minus_1), succ(tptp_minus_1)))))))) | (~leq(succ(tptp_minus_1), E!16)) | (~leq(succ(tptp_minus_1), F!15)) | (~leq(E!16, succ(succ(succ(tptp_minus_1))))) | (~leq(F!15, minus(pv5, succ(succ(tptp_minus_1))))) | (~((~(a_select3(u_defuse, E!16, F!15) = a_select3(u_defuse, succ(tptp_minus_1), succ(tptp_minus_1)))) | (~(a_select3(z_defuse, E!16, F!15) = a_select3(u_defuse, succ(tptp_minus_1), succ(tptp_minus_1)))))))),
% 0.20/0.54      inference(rewrite,[status(thm)],[])).
% 0.20/0.54  tff(36,plain,
% 0.20/0.54      ((~![A: $i, B: $i] : ((~leq(succ(tptp_minus_1), A)) | (~leq(succ(tptp_minus_1), B)) | (~leq(A, succ(succ(succ(tptp_minus_1))))) | (~leq(B, minus(pv5, succ(succ(tptp_minus_1))))) | (~((~(a_select3(u_defuse, A, B) = a_select3(u_defuse, succ(tptp_minus_1), succ(tptp_minus_1)))) | (~(a_select3(z_defuse, A, B) = a_select3(u_defuse, succ(tptp_minus_1), succ(tptp_minus_1)))))))) | ((~leq(succ(tptp_minus_1), E!16)) | (~leq(succ(tptp_minus_1), F!15)) | (~leq(E!16, succ(succ(succ(tptp_minus_1))))) | (~leq(F!15, minus(pv5, succ(succ(tptp_minus_1))))) | (~((~(a_select3(u_defuse, E!16, F!15) = a_select3(u_defuse, succ(tptp_minus_1), succ(tptp_minus_1)))) | (~(a_select3(z_defuse, E!16, F!15) = a_select3(u_defuse, succ(tptp_minus_1), succ(tptp_minus_1)))))))),
% 0.20/0.54      inference(quant_inst,[status(thm)],[])).
% 0.20/0.54  tff(37,plain,
% 0.20/0.54      ((~![A: $i, B: $i] : ((~leq(succ(tptp_minus_1), A)) | (~leq(succ(tptp_minus_1), B)) | (~leq(A, succ(succ(succ(tptp_minus_1))))) | (~leq(B, minus(pv5, succ(succ(tptp_minus_1))))) | (~((~(a_select3(u_defuse, A, B) = a_select3(u_defuse, succ(tptp_minus_1), succ(tptp_minus_1)))) | (~(a_select3(z_defuse, A, B) = a_select3(u_defuse, succ(tptp_minus_1), succ(tptp_minus_1)))))))) | (~leq(succ(tptp_minus_1), E!16)) | (~leq(succ(tptp_minus_1), F!15)) | (~leq(E!16, succ(succ(succ(tptp_minus_1))))) | (~leq(F!15, minus(pv5, succ(succ(tptp_minus_1))))) | (~((~(a_select3(u_defuse, E!16, F!15) = a_select3(u_defuse, succ(tptp_minus_1), succ(tptp_minus_1)))) | (~(a_select3(z_defuse, E!16, F!15) = a_select3(u_defuse, succ(tptp_minus_1), succ(tptp_minus_1))))))),
% 0.20/0.54      inference(modus_ponens,[status(thm)],[36, 35])).
% 0.20/0.54  tff(38,plain,
% 0.20/0.54      ($false),
% 0.20/0.54      inference(unit_resolution,[status(thm)],[37, 34, 11, 9, 7, 5, 3])).
% 0.20/0.54  tff(39,plain,((~(pv51 = pv52)) | (~leq(succ(tptp_minus_1), E!16)) | (~leq(succ(tptp_minus_1), F!15)) | (~leq(E!16, succ(succ(succ(tptp_minus_1))))) | (~leq(F!15, minus(pv5, succ(succ(tptp_minus_1))))) | (~((~(a_select3(u_defuse, E!16, F!15) = a_select3(u_defuse, succ(tptp_minus_1), succ(tptp_minus_1)))) | (~(a_select3(z_defuse, E!16, F!15) = a_select3(u_defuse, succ(tptp_minus_1), succ(tptp_minus_1))))))), inference(lemma,lemma(discharge,[]))).
% 0.20/0.54  tff(40,plain,
% 0.20/0.54      (((~((pv51 = pv52) | (~leq(succ(tptp_minus_1), C!14)) | (~leq(succ(tptp_minus_1), D!13)) | (~leq(C!14, succ(succ(succ(tptp_minus_1))))) | (~leq(D!13, minus(pv5, succ(succ(tptp_minus_1))))) | (~((~(a_select3(u_defuse, C!14, D!13) = a_select3(u_defuse, succ(tptp_minus_1), succ(tptp_minus_1)))) | (~(a_select3(z_defuse, C!14, D!13) = a_select3(u_defuse, succ(tptp_minus_1), succ(tptp_minus_1)))))))) | (~((~(pv51 = pv52)) | (~leq(succ(tptp_minus_1), E!16)) | (~leq(succ(tptp_minus_1), F!15)) | (~leq(E!16, succ(succ(succ(tptp_minus_1))))) | (~leq(F!15, minus(pv5, succ(succ(tptp_minus_1))))) | (~((~(a_select3(u_defuse, E!16, F!15) = a_select3(u_defuse, succ(tptp_minus_1), succ(tptp_minus_1)))) | (~(a_select3(z_defuse, E!16, F!15) = a_select3(u_defuse, succ(tptp_minus_1), succ(tptp_minus_1))))))))) <=> ((~((pv51 = pv52) | (~leq(succ(tptp_minus_1), C!14)) | (~leq(succ(tptp_minus_1), D!13)) | (~leq(C!14, succ(succ(succ(tptp_minus_1))))) | (~leq(D!13, minus(pv5, succ(succ(tptp_minus_1))))) | (~((~(a_select3(u_defuse, C!14, D!13) = a_select3(u_defuse, succ(tptp_minus_1), succ(tptp_minus_1)))) | (~(a_select3(z_defuse, C!14, D!13) = a_select3(u_defuse, succ(tptp_minus_1), succ(tptp_minus_1)))))))) | (~((~(pv51 = pv52)) | (~leq(succ(tptp_minus_1), E!16)) | (~leq(succ(tptp_minus_1), F!15)) | (~leq(E!16, succ(succ(succ(tptp_minus_1))))) | (~leq(F!15, minus(pv5, succ(succ(tptp_minus_1))))) | (~((~(a_select3(u_defuse, E!16, F!15) = a_select3(u_defuse, succ(tptp_minus_1), succ(tptp_minus_1)))) | (~(a_select3(z_defuse, E!16, F!15) = a_select3(u_defuse, succ(tptp_minus_1), succ(tptp_minus_1)))))))))),
% 0.20/0.54      inference(rewrite,[status(thm)],[])).
% 0.20/0.54  tff(41,plain,
% 0.20/0.54      (((pv51 = pv52) & (~((~leq(succ(tptp_minus_1), E!16)) | (~leq(succ(tptp_minus_1), F!15)) | (~leq(E!16, succ(succ(succ(tptp_minus_1))))) | (~leq(F!15, minus(pv5, succ(succ(tptp_minus_1))))) | (~((~(a_select3(u_defuse, E!16, F!15) = a_select3(u_defuse, succ(tptp_minus_1), succ(tptp_minus_1)))) | (~(a_select3(z_defuse, E!16, F!15) = a_select3(u_defuse, succ(tptp_minus_1), succ(tptp_minus_1))))))))) <=> (~((~(pv51 = pv52)) | (~leq(succ(tptp_minus_1), E!16)) | (~leq(succ(tptp_minus_1), F!15)) | (~leq(E!16, succ(succ(succ(tptp_minus_1))))) | (~leq(F!15, minus(pv5, succ(succ(tptp_minus_1))))) | (~((~(a_select3(u_defuse, E!16, F!15) = a_select3(u_defuse, succ(tptp_minus_1), succ(tptp_minus_1)))) | (~(a_select3(z_defuse, E!16, F!15) = a_select3(u_defuse, succ(tptp_minus_1), succ(tptp_minus_1))))))))),
% 0.20/0.54      inference(rewrite,[status(thm)],[])).
% 0.20/0.54  tff(42,plain,
% 0.20/0.54      ((~((~(leq(succ(tptp_minus_1), E!16) & leq(succ(tptp_minus_1), F!15) & leq(E!16, succ(succ(succ(tptp_minus_1)))) & leq(F!15, minus(pv5, succ(succ(tptp_minus_1)))))) | ((a_select3(u_defuse, E!16, F!15) = a_select3(u_defuse, succ(tptp_minus_1), succ(tptp_minus_1))) & (a_select3(z_defuse, E!16, F!15) = a_select3(u_defuse, succ(tptp_minus_1), succ(tptp_minus_1)))))) <=> (~((~leq(succ(tptp_minus_1), E!16)) | (~leq(succ(tptp_minus_1), F!15)) | (~leq(E!16, succ(succ(succ(tptp_minus_1))))) | (~leq(F!15, minus(pv5, succ(succ(tptp_minus_1))))) | (~((~(a_select3(u_defuse, E!16, F!15) = a_select3(u_defuse, succ(tptp_minus_1), succ(tptp_minus_1)))) | (~(a_select3(z_defuse, E!16, F!15) = a_select3(u_defuse, succ(tptp_minus_1), succ(tptp_minus_1))))))))),
% 0.20/0.54      inference(rewrite,[status(thm)],[])).
% 0.20/0.54  tff(43,plain,
% 0.20/0.54      (((pv51 = pv52) & (~((~(leq(succ(tptp_minus_1), E!16) & leq(succ(tptp_minus_1), F!15) & leq(E!16, succ(succ(succ(tptp_minus_1)))) & leq(F!15, minus(pv5, succ(succ(tptp_minus_1)))))) | ((a_select3(u_defuse, E!16, F!15) = a_select3(u_defuse, succ(tptp_minus_1), succ(tptp_minus_1))) & (a_select3(z_defuse, E!16, F!15) = a_select3(u_defuse, succ(tptp_minus_1), succ(tptp_minus_1))))))) <=> ((pv51 = pv52) & (~((~leq(succ(tptp_minus_1), E!16)) | (~leq(succ(tptp_minus_1), F!15)) | (~leq(E!16, succ(succ(succ(tptp_minus_1))))) | (~leq(F!15, minus(pv5, succ(succ(tptp_minus_1))))) | (~((~(a_select3(u_defuse, E!16, F!15) = a_select3(u_defuse, succ(tptp_minus_1), succ(tptp_minus_1)))) | (~(a_select3(z_defuse, E!16, F!15) = a_select3(u_defuse, succ(tptp_minus_1), succ(tptp_minus_1)))))))))),
% 0.20/0.55      inference(monotonicity,[status(thm)],[42])).
% 0.20/0.55  tff(44,plain,
% 0.20/0.55      (((pv51 = pv52) & (~((~(leq(succ(tptp_minus_1), E!16) & leq(succ(tptp_minus_1), F!15) & leq(E!16, succ(succ(succ(tptp_minus_1)))) & leq(F!15, minus(pv5, succ(succ(tptp_minus_1)))))) | ((a_select3(u_defuse, E!16, F!15) = a_select3(u_defuse, succ(tptp_minus_1), succ(tptp_minus_1))) & (a_select3(z_defuse, E!16, F!15) = a_select3(u_defuse, succ(tptp_minus_1), succ(tptp_minus_1))))))) <=> (~((~(pv51 = pv52)) | (~leq(succ(tptp_minus_1), E!16)) | (~leq(succ(tptp_minus_1), F!15)) | (~leq(E!16, succ(succ(succ(tptp_minus_1))))) | (~leq(F!15, minus(pv5, succ(succ(tptp_minus_1))))) | (~((~(a_select3(u_defuse, E!16, F!15) = a_select3(u_defuse, succ(tptp_minus_1), succ(tptp_minus_1)))) | (~(a_select3(z_defuse, E!16, F!15) = a_select3(u_defuse, succ(tptp_minus_1), succ(tptp_minus_1))))))))),
% 0.20/0.55      inference(transitivity,[status(thm)],[43, 41])).
% 0.20/0.55  tff(45,plain,
% 0.20/0.55      (((~(pv51 = pv52)) & (~((~leq(succ(tptp_minus_1), C!14)) | (~leq(succ(tptp_minus_1), D!13)) | (~leq(C!14, succ(succ(succ(tptp_minus_1))))) | (~leq(D!13, minus(pv5, succ(succ(tptp_minus_1))))) | (~((~(a_select3(u_defuse, C!14, D!13) = a_select3(u_defuse, succ(tptp_minus_1), succ(tptp_minus_1)))) | (~(a_select3(z_defuse, C!14, D!13) = a_select3(u_defuse, succ(tptp_minus_1), succ(tptp_minus_1))))))))) <=> (~((pv51 = pv52) | (~leq(succ(tptp_minus_1), C!14)) | (~leq(succ(tptp_minus_1), D!13)) | (~leq(C!14, succ(succ(succ(tptp_minus_1))))) | (~leq(D!13, minus(pv5, succ(succ(tptp_minus_1))))) | (~((~(a_select3(u_defuse, C!14, D!13) = a_select3(u_defuse, succ(tptp_minus_1), succ(tptp_minus_1)))) | (~(a_select3(z_defuse, C!14, D!13) = a_select3(u_defuse, succ(tptp_minus_1), succ(tptp_minus_1))))))))),
% 0.20/0.55      inference(rewrite,[status(thm)],[])).
% 0.20/0.55  tff(46,plain,
% 0.20/0.55      ((~((~(leq(succ(tptp_minus_1), C!14) & leq(succ(tptp_minus_1), D!13) & leq(C!14, succ(succ(succ(tptp_minus_1)))) & leq(D!13, minus(pv5, succ(succ(tptp_minus_1)))))) | ((a_select3(u_defuse, C!14, D!13) = a_select3(u_defuse, succ(tptp_minus_1), succ(tptp_minus_1))) & (a_select3(z_defuse, C!14, D!13) = a_select3(u_defuse, succ(tptp_minus_1), succ(tptp_minus_1)))))) <=> (~((~leq(succ(tptp_minus_1), C!14)) | (~leq(succ(tptp_minus_1), D!13)) | (~leq(C!14, succ(succ(succ(tptp_minus_1))))) | (~leq(D!13, minus(pv5, succ(succ(tptp_minus_1))))) | (~((~(a_select3(u_defuse, C!14, D!13) = a_select3(u_defuse, succ(tptp_minus_1), succ(tptp_minus_1)))) | (~(a_select3(z_defuse, C!14, D!13) = a_select3(u_defuse, succ(tptp_minus_1), succ(tptp_minus_1))))))))),
% 0.20/0.55      inference(rewrite,[status(thm)],[])).
% 0.20/0.55  tff(47,plain,
% 0.20/0.55      (((~(pv51 = pv52)) & (~((~(leq(succ(tptp_minus_1), C!14) & leq(succ(tptp_minus_1), D!13) & leq(C!14, succ(succ(succ(tptp_minus_1)))) & leq(D!13, minus(pv5, succ(succ(tptp_minus_1)))))) | ((a_select3(u_defuse, C!14, D!13) = a_select3(u_defuse, succ(tptp_minus_1), succ(tptp_minus_1))) & (a_select3(z_defuse, C!14, D!13) = a_select3(u_defuse, succ(tptp_minus_1), succ(tptp_minus_1))))))) <=> ((~(pv51 = pv52)) & (~((~leq(succ(tptp_minus_1), C!14)) | (~leq(succ(tptp_minus_1), D!13)) | (~leq(C!14, succ(succ(succ(tptp_minus_1))))) | (~leq(D!13, minus(pv5, succ(succ(tptp_minus_1))))) | (~((~(a_select3(u_defuse, C!14, D!13) = a_select3(u_defuse, succ(tptp_minus_1), succ(tptp_minus_1)))) | (~(a_select3(z_defuse, C!14, D!13) = a_select3(u_defuse, succ(tptp_minus_1), succ(tptp_minus_1)))))))))),
% 0.20/0.55      inference(monotonicity,[status(thm)],[46])).
% 0.20/0.55  tff(48,plain,
% 0.20/0.55      (((~(pv51 = pv52)) & (~((~(leq(succ(tptp_minus_1), C!14) & leq(succ(tptp_minus_1), D!13) & leq(C!14, succ(succ(succ(tptp_minus_1)))) & leq(D!13, minus(pv5, succ(succ(tptp_minus_1)))))) | ((a_select3(u_defuse, C!14, D!13) = a_select3(u_defuse, succ(tptp_minus_1), succ(tptp_minus_1))) & (a_select3(z_defuse, C!14, D!13) = a_select3(u_defuse, succ(tptp_minus_1), succ(tptp_minus_1))))))) <=> (~((pv51 = pv52) | (~leq(succ(tptp_minus_1), C!14)) | (~leq(succ(tptp_minus_1), D!13)) | (~leq(C!14, succ(succ(succ(tptp_minus_1))))) | (~leq(D!13, minus(pv5, succ(succ(tptp_minus_1))))) | (~((~(a_select3(u_defuse, C!14, D!13) = a_select3(u_defuse, succ(tptp_minus_1), succ(tptp_minus_1)))) | (~(a_select3(z_defuse, C!14, D!13) = a_select3(u_defuse, succ(tptp_minus_1), succ(tptp_minus_1))))))))),
% 0.20/0.55      inference(transitivity,[status(thm)],[47, 45])).
% 0.20/0.55  tff(49,plain,
% 0.20/0.55      ((((~(pv51 = pv52)) & (~((~(leq(succ(tptp_minus_1), C!14) & leq(succ(tptp_minus_1), D!13) & leq(C!14, succ(succ(succ(tptp_minus_1)))) & leq(D!13, minus(pv5, succ(succ(tptp_minus_1)))))) | ((a_select3(u_defuse, C!14, D!13) = a_select3(u_defuse, succ(tptp_minus_1), succ(tptp_minus_1))) & (a_select3(z_defuse, C!14, D!13) = a_select3(u_defuse, succ(tptp_minus_1), succ(tptp_minus_1))))))) | ((pv51 = pv52) & (~((~(leq(succ(tptp_minus_1), E!16) & leq(succ(tptp_minus_1), F!15) & leq(E!16, succ(succ(succ(tptp_minus_1)))) & leq(F!15, minus(pv5, succ(succ(tptp_minus_1)))))) | ((a_select3(u_defuse, E!16, F!15) = a_select3(u_defuse, succ(tptp_minus_1), succ(tptp_minus_1))) & (a_select3(z_defuse, E!16, F!15) = a_select3(u_defuse, succ(tptp_minus_1), succ(tptp_minus_1)))))))) <=> ((~((pv51 = pv52) | (~leq(succ(tptp_minus_1), C!14)) | (~leq(succ(tptp_minus_1), D!13)) | (~leq(C!14, succ(succ(succ(tptp_minus_1))))) | (~leq(D!13, minus(pv5, succ(succ(tptp_minus_1))))) | (~((~(a_select3(u_defuse, C!14, D!13) = a_select3(u_defuse, succ(tptp_minus_1), succ(tptp_minus_1)))) | (~(a_select3(z_defuse, C!14, D!13) = a_select3(u_defuse, succ(tptp_minus_1), succ(tptp_minus_1)))))))) | (~((~(pv51 = pv52)) | (~leq(succ(tptp_minus_1), E!16)) | (~leq(succ(tptp_minus_1), F!15)) | (~leq(E!16, succ(succ(succ(tptp_minus_1))))) | (~leq(F!15, minus(pv5, succ(succ(tptp_minus_1))))) | (~((~(a_select3(u_defuse, E!16, F!15) = a_select3(u_defuse, succ(tptp_minus_1), succ(tptp_minus_1)))) | (~(a_select3(z_defuse, E!16, F!15) = a_select3(u_defuse, succ(tptp_minus_1), succ(tptp_minus_1)))))))))),
% 0.20/0.55      inference(monotonicity,[status(thm)],[48, 44])).
% 0.20/0.55  tff(50,plain,
% 0.20/0.55      ((((~(pv51 = pv52)) & (~((~(leq(succ(tptp_minus_1), C!14) & leq(succ(tptp_minus_1), D!13) & leq(C!14, succ(succ(succ(tptp_minus_1)))) & leq(D!13, minus(pv5, succ(succ(tptp_minus_1)))))) | ((a_select3(u_defuse, C!14, D!13) = a_select3(u_defuse, succ(tptp_minus_1), succ(tptp_minus_1))) & (a_select3(z_defuse, C!14, D!13) = a_select3(u_defuse, succ(tptp_minus_1), succ(tptp_minus_1))))))) | ((pv51 = pv52) & (~((~(leq(succ(tptp_minus_1), E!16) & leq(succ(tptp_minus_1), F!15) & leq(E!16, succ(succ(succ(tptp_minus_1)))) & leq(F!15, minus(pv5, succ(succ(tptp_minus_1)))))) | ((a_select3(u_defuse, E!16, F!15) = a_select3(u_defuse, succ(tptp_minus_1), succ(tptp_minus_1))) & (a_select3(z_defuse, E!16, F!15) = a_select3(u_defuse, succ(tptp_minus_1), succ(tptp_minus_1)))))))) <=> ((~((pv51 = pv52) | (~leq(succ(tptp_minus_1), C!14)) | (~leq(succ(tptp_minus_1), D!13)) | (~leq(C!14, succ(succ(succ(tptp_minus_1))))) | (~leq(D!13, minus(pv5, succ(succ(tptp_minus_1))))) | (~((~(a_select3(u_defuse, C!14, D!13) = a_select3(u_defuse, succ(tptp_minus_1), succ(tptp_minus_1)))) | (~(a_select3(z_defuse, C!14, D!13) = a_select3(u_defuse, succ(tptp_minus_1), succ(tptp_minus_1)))))))) | (~((~(pv51 = pv52)) | (~leq(succ(tptp_minus_1), E!16)) | (~leq(succ(tptp_minus_1), F!15)) | (~leq(E!16, succ(succ(succ(tptp_minus_1))))) | (~leq(F!15, minus(pv5, succ(succ(tptp_minus_1))))) | (~((~(a_select3(u_defuse, E!16, F!15) = a_select3(u_defuse, succ(tptp_minus_1), succ(tptp_minus_1)))) | (~(a_select3(z_defuse, E!16, F!15) = a_select3(u_defuse, succ(tptp_minus_1), succ(tptp_minus_1)))))))))),
% 0.20/0.55      inference(transitivity,[status(thm)],[49, 40])).
% 0.20/0.55  tff(51,plain,
% 0.20/0.55      ((((~(pv51 = pv52)) & (~((~(leq(succ(tptp_minus_1), C!14) & leq(succ(tptp_minus_1), D!13) & leq(C!14, succ(succ(succ(tptp_minus_1)))) & leq(D!13, minus(pv5, succ(succ(tptp_minus_1)))))) | ((a_select3(u_defuse, C!14, D!13) = a_select3(u_defuse, succ(tptp_minus_1), succ(tptp_minus_1))) & (a_select3(z_defuse, C!14, D!13) = a_select3(u_defuse, succ(tptp_minus_1), succ(tptp_minus_1))))))) | ((~(~(pv51 = pv52))) & (~((~(leq(succ(tptp_minus_1), E!16) & leq(succ(tptp_minus_1), F!15) & leq(E!16, succ(succ(succ(tptp_minus_1)))) & leq(F!15, minus(pv5, succ(succ(tptp_minus_1)))))) | ((a_select3(u_defuse, E!16, F!15) = a_select3(u_defuse, succ(tptp_minus_1), succ(tptp_minus_1))) & (a_select3(z_defuse, E!16, F!15) = a_select3(u_defuse, succ(tptp_minus_1), succ(tptp_minus_1)))))))) <=> (((~(pv51 = pv52)) & (~((~(leq(succ(tptp_minus_1), C!14) & leq(succ(tptp_minus_1), D!13) & leq(C!14, succ(succ(succ(tptp_minus_1)))) & leq(D!13, minus(pv5, succ(succ(tptp_minus_1)))))) | ((a_select3(u_defuse, C!14, D!13) = a_select3(u_defuse, succ(tptp_minus_1), succ(tptp_minus_1))) & (a_select3(z_defuse, C!14, D!13) = a_select3(u_defuse, succ(tptp_minus_1), succ(tptp_minus_1))))))) | ((pv51 = pv52) & (~((~(leq(succ(tptp_minus_1), E!16) & leq(succ(tptp_minus_1), F!15) & leq(E!16, succ(succ(succ(tptp_minus_1)))) & leq(F!15, minus(pv5, succ(succ(tptp_minus_1)))))) | ((a_select3(u_defuse, E!16, F!15) = a_select3(u_defuse, succ(tptp_minus_1), succ(tptp_minus_1))) & (a_select3(z_defuse, E!16, F!15) = a_select3(u_defuse, succ(tptp_minus_1), succ(tptp_minus_1))))))))),
% 0.20/0.55      inference(rewrite,[status(thm)],[])).
% 0.20/0.55  tff(52,plain,
% 0.20/0.55      (((~(pv51 = pv52)) | ![E: $i, F: $i] : ((~(leq(succ(tptp_minus_1), E) & leq(succ(tptp_minus_1), F) & leq(E, succ(succ(succ(tptp_minus_1)))) & leq(F, minus(pv5, succ(succ(tptp_minus_1)))))) | ((a_select3(u_defuse, E, F) = a_select3(u_defuse, succ(tptp_minus_1), succ(tptp_minus_1))) & (a_select3(z_defuse, E, F) = a_select3(u_defuse, succ(tptp_minus_1), succ(tptp_minus_1)))))) <=> ((~(pv51 = pv52)) | ![E: $i, F: $i] : ((~(leq(succ(tptp_minus_1), E) & leq(succ(tptp_minus_1), F) & leq(E, succ(succ(succ(tptp_minus_1)))) & leq(F, minus(pv5, succ(succ(tptp_minus_1)))))) | ((a_select3(u_defuse, E, F) = a_select3(u_defuse, succ(tptp_minus_1), succ(tptp_minus_1))) & (a_select3(z_defuse, E, F) = a_select3(u_defuse, succ(tptp_minus_1), succ(tptp_minus_1))))))),
% 0.20/0.55      inference(rewrite,[status(thm)],[])).
% 0.20/0.55  tff(53,plain,
% 0.20/0.55      (((pv51 = pv52) | ![C: $i, D: $i] : ((~(leq(succ(tptp_minus_1), C) & leq(succ(tptp_minus_1), D) & leq(C, succ(succ(succ(tptp_minus_1)))) & leq(D, minus(pv5, succ(succ(tptp_minus_1)))))) | ((a_select3(u_defuse, C, D) = a_select3(u_defuse, succ(tptp_minus_1), succ(tptp_minus_1))) & (a_select3(z_defuse, C, D) = a_select3(u_defuse, succ(tptp_minus_1), succ(tptp_minus_1)))))) <=> ((pv51 = pv52) | ![C: $i, D: $i] : ((~(leq(succ(tptp_minus_1), C) & leq(succ(tptp_minus_1), D) & leq(C, succ(succ(succ(tptp_minus_1)))) & leq(D, minus(pv5, succ(succ(tptp_minus_1)))))) | ((a_select3(u_defuse, C, D) = a_select3(u_defuse, succ(tptp_minus_1), succ(tptp_minus_1))) & (a_select3(z_defuse, C, D) = a_select3(u_defuse, succ(tptp_minus_1), succ(tptp_minus_1))))))),
% 0.20/0.55      inference(rewrite,[status(thm)],[])).
% 0.20/0.55  tff(54,plain,
% 0.20/0.55      ((((pv51 = pv52) | ![C: $i, D: $i] : ((~(leq(succ(tptp_minus_1), C) & leq(succ(tptp_minus_1), D) & leq(C, succ(succ(succ(tptp_minus_1)))) & leq(D, minus(pv5, succ(succ(tptp_minus_1)))))) | ((a_select3(u_defuse, C, D) = a_select3(u_defuse, succ(tptp_minus_1), succ(tptp_minus_1))) & (a_select3(z_defuse, C, D) = a_select3(u_defuse, succ(tptp_minus_1), succ(tptp_minus_1)))))) & ((~(pv51 = pv52)) | ![E: $i, F: $i] : ((~(leq(succ(tptp_minus_1), E) & leq(succ(tptp_minus_1), F) & leq(E, succ(succ(succ(tptp_minus_1)))) & leq(F, minus(pv5, succ(succ(tptp_minus_1)))))) | ((a_select3(u_defuse, E, F) = a_select3(u_defuse, succ(tptp_minus_1), succ(tptp_minus_1))) & (a_select3(z_defuse, E, F) = a_select3(u_defuse, succ(tptp_minus_1), succ(tptp_minus_1))))))) <=> (((pv51 = pv52) | ![C: $i, D: $i] : ((~(leq(succ(tptp_minus_1), C) & leq(succ(tptp_minus_1), D) & leq(C, succ(succ(succ(tptp_minus_1)))) & leq(D, minus(pv5, succ(succ(tptp_minus_1)))))) | ((a_select3(u_defuse, C, D) = a_select3(u_defuse, succ(tptp_minus_1), succ(tptp_minus_1))) & (a_select3(z_defuse, C, D) = a_select3(u_defuse, succ(tptp_minus_1), succ(tptp_minus_1)))))) & ((~(pv51 = pv52)) | ![E: $i, F: $i] : ((~(leq(succ(tptp_minus_1), E) & leq(succ(tptp_minus_1), F) & leq(E, succ(succ(succ(tptp_minus_1)))) & leq(F, minus(pv5, succ(succ(tptp_minus_1)))))) | ((a_select3(u_defuse, E, F) = a_select3(u_defuse, succ(tptp_minus_1), succ(tptp_minus_1))) & (a_select3(z_defuse, E, F) = a_select3(u_defuse, succ(tptp_minus_1), succ(tptp_minus_1)))))))),
% 0.20/0.55      inference(monotonicity,[status(thm)],[53, 52])).
% 0.20/0.55  tff(55,plain,
% 0.20/0.55      ((~(((pv51 = pv52) | ![C: $i, D: $i] : ((~(leq(succ(tptp_minus_1), C) & leq(succ(tptp_minus_1), D) & leq(C, succ(succ(succ(tptp_minus_1)))) & leq(D, minus(pv5, succ(succ(tptp_minus_1)))))) | ((a_select3(u_defuse, C, D) = a_select3(u_defuse, succ(tptp_minus_1), succ(tptp_minus_1))) & (a_select3(z_defuse, C, D) = a_select3(u_defuse, succ(tptp_minus_1), succ(tptp_minus_1)))))) & ((~(pv51 = pv52)) | ![E: $i, F: $i] : ((~(leq(succ(tptp_minus_1), E) & leq(succ(tptp_minus_1), F) & leq(E, succ(succ(succ(tptp_minus_1)))) & leq(F, minus(pv5, succ(succ(tptp_minus_1)))))) | ((a_select3(u_defuse, E, F) = a_select3(u_defuse, succ(tptp_minus_1), succ(tptp_minus_1))) & (a_select3(z_defuse, E, F) = a_select3(u_defuse, succ(tptp_minus_1), succ(tptp_minus_1)))))))) <=> (~(((pv51 = pv52) | ![C: $i, D: $i] : ((~(leq(succ(tptp_minus_1), C) & leq(succ(tptp_minus_1), D) & leq(C, succ(succ(succ(tptp_minus_1)))) & leq(D, minus(pv5, succ(succ(tptp_minus_1)))))) | ((a_select3(u_defuse, C, D) = a_select3(u_defuse, succ(tptp_minus_1), succ(tptp_minus_1))) & (a_select3(z_defuse, C, D) = a_select3(u_defuse, succ(tptp_minus_1), succ(tptp_minus_1)))))) & ((~(pv51 = pv52)) | ![E: $i, F: $i] : ((~(leq(succ(tptp_minus_1), E) & leq(succ(tptp_minus_1), F) & leq(E, succ(succ(succ(tptp_minus_1)))) & leq(F, minus(pv5, succ(succ(tptp_minus_1)))))) | ((a_select3(u_defuse, E, F) = a_select3(u_defuse, succ(tptp_minus_1), succ(tptp_minus_1))) & (a_select3(z_defuse, E, F) = a_select3(u_defuse, succ(tptp_minus_1), succ(tptp_minus_1))))))))),
% 0.20/0.55      inference(monotonicity,[status(thm)],[54])).
% 0.20/0.55  tff(56,plain,
% 0.20/0.55      ((~(((pv51 = pv52) | ![C: $i, D: $i] : ((~(leq(succ(tptp_minus_1), C) & leq(succ(tptp_minus_1), D) & leq(C, succ(succ(succ(tptp_minus_1)))) & leq(D, minus(pv5, succ(succ(tptp_minus_1)))))) | ((a_select3(u_defuse, C, D) = a_select2(sigma_defuse, succ(tptp_minus_1))) & (a_select3(z_defuse, C, D) = a_select2(sigma_defuse, succ(tptp_minus_1)))))) & ((~(pv51 = pv52)) | ![E: $i, F: $i] : ((~(leq(succ(tptp_minus_1), E) & leq(succ(tptp_minus_1), F) & leq(E, succ(succ(succ(tptp_minus_1)))) & leq(F, minus(pv5, succ(succ(tptp_minus_1)))))) | ((a_select3(u_defuse, E, F) = a_select2(sigma_defuse, succ(tptp_minus_1))) & (a_select3(z_defuse, E, F) = a_select2(sigma_defuse, succ(tptp_minus_1)))))))) <=> (~(((pv51 = pv52) | ![C: $i, D: $i] : ((~(leq(succ(tptp_minus_1), C) & leq(succ(tptp_minus_1), D) & leq(C, succ(succ(succ(tptp_minus_1)))) & leq(D, minus(pv5, succ(succ(tptp_minus_1)))))) | ((a_select3(u_defuse, C, D) = a_select3(u_defuse, succ(tptp_minus_1), succ(tptp_minus_1))) & (a_select3(z_defuse, C, D) = a_select3(u_defuse, succ(tptp_minus_1), succ(tptp_minus_1)))))) & ((~(pv51 = pv52)) | ![E: $i, F: $i] : ((~(leq(succ(tptp_minus_1), E) & leq(succ(tptp_minus_1), F) & leq(E, succ(succ(succ(tptp_minus_1)))) & leq(F, minus(pv5, succ(succ(tptp_minus_1)))))) | ((a_select3(u_defuse, E, F) = a_select3(u_defuse, succ(tptp_minus_1), succ(tptp_minus_1))) & (a_select3(z_defuse, E, F) = a_select3(u_defuse, succ(tptp_minus_1), succ(tptp_minus_1))))))))),
% 0.20/0.55      inference(rewrite,[status(thm)],[])).
% 0.20/0.55  tff(57,plain,
% 0.20/0.55      (((~(pv51 = pv52)) | ![E: $i, F: $i] : ((~(leq(succ(tptp_minus_1), E) & leq(succ(tptp_minus_1), F) & leq(E, succ(succ(succ(tptp_minus_1)))) & leq(F, minus(pv5, succ(succ(tptp_minus_1)))))) | ((a_select3(u_defuse, E, F) = a_select2(sigma_defuse, succ(tptp_minus_1))) & (a_select3(z_defuse, E, F) = a_select2(sigma_defuse, succ(tptp_minus_1)))))) <=> ((~(pv51 = pv52)) | ![E: $i, F: $i] : ((~(leq(succ(tptp_minus_1), E) & leq(succ(tptp_minus_1), F) & leq(E, succ(succ(succ(tptp_minus_1)))) & leq(F, minus(pv5, succ(succ(tptp_minus_1)))))) | ((a_select3(u_defuse, E, F) = a_select2(sigma_defuse, succ(tptp_minus_1))) & (a_select3(z_defuse, E, F) = a_select2(sigma_defuse, succ(tptp_minus_1))))))),
% 0.20/0.56      inference(rewrite,[status(thm)],[])).
% 0.20/0.56  tff(58,plain,
% 0.20/0.56      (((pv51 = pv52) | ![C: $i, D: $i] : ((~(leq(succ(tptp_minus_1), C) & leq(succ(tptp_minus_1), D) & leq(C, succ(succ(succ(tptp_minus_1)))) & leq(D, minus(pv5, succ(succ(tptp_minus_1)))))) | ((a_select3(u_defuse, C, D) = a_select2(sigma_defuse, succ(tptp_minus_1))) & (a_select3(z_defuse, C, D) = a_select2(sigma_defuse, succ(tptp_minus_1)))))) <=> ((pv51 = pv52) | ![C: $i, D: $i] : ((~(leq(succ(tptp_minus_1), C) & leq(succ(tptp_minus_1), D) & leq(C, succ(succ(succ(tptp_minus_1)))) & leq(D, minus(pv5, succ(succ(tptp_minus_1)))))) | ((a_select3(u_defuse, C, D) = a_select2(sigma_defuse, succ(tptp_minus_1))) & (a_select3(z_defuse, C, D) = a_select2(sigma_defuse, succ(tptp_minus_1))))))),
% 0.20/0.56      inference(rewrite,[status(thm)],[])).
% 0.20/0.56  tff(59,plain,
% 0.20/0.56      ((((pv51 = pv52) | ![C: $i, D: $i] : ((~(leq(succ(tptp_minus_1), C) & leq(succ(tptp_minus_1), D) & leq(C, succ(succ(succ(tptp_minus_1)))) & leq(D, minus(pv5, succ(succ(tptp_minus_1)))))) | ((a_select3(u_defuse, C, D) = a_select2(sigma_defuse, succ(tptp_minus_1))) & (a_select3(z_defuse, C, D) = a_select2(sigma_defuse, succ(tptp_minus_1)))))) & ((~(pv51 = pv52)) | ![E: $i, F: $i] : ((~(leq(succ(tptp_minus_1), E) & leq(succ(tptp_minus_1), F) & leq(E, succ(succ(succ(tptp_minus_1)))) & leq(F, minus(pv5, succ(succ(tptp_minus_1)))))) | ((a_select3(u_defuse, E, F) = a_select2(sigma_defuse, succ(tptp_minus_1))) & (a_select3(z_defuse, E, F) = a_select2(sigma_defuse, succ(tptp_minus_1))))))) <=> (((pv51 = pv52) | ![C: $i, D: $i] : ((~(leq(succ(tptp_minus_1), C) & leq(succ(tptp_minus_1), D) & leq(C, succ(succ(succ(tptp_minus_1)))) & leq(D, minus(pv5, succ(succ(tptp_minus_1)))))) | ((a_select3(u_defuse, C, D) = a_select2(sigma_defuse, succ(tptp_minus_1))) & (a_select3(z_defuse, C, D) = a_select2(sigma_defuse, succ(tptp_minus_1)))))) & ((~(pv51 = pv52)) | ![E: $i, F: $i] : ((~(leq(succ(tptp_minus_1), E) & leq(succ(tptp_minus_1), F) & leq(E, succ(succ(succ(tptp_minus_1)))) & leq(F, minus(pv5, succ(succ(tptp_minus_1)))))) | ((a_select3(u_defuse, E, F) = a_select2(sigma_defuse, succ(tptp_minus_1))) & (a_select3(z_defuse, E, F) = a_select2(sigma_defuse, succ(tptp_minus_1)))))))),
% 0.20/0.56      inference(monotonicity,[status(thm)],[58, 57])).
% 0.20/0.56  tff(60,plain,
% 0.20/0.56      ((~(((pv51 = pv52) | ![C: $i, D: $i] : ((~(leq(succ(tptp_minus_1), C) & leq(succ(tptp_minus_1), D) & leq(C, succ(succ(succ(tptp_minus_1)))) & leq(D, minus(pv5, succ(succ(tptp_minus_1)))))) | ((a_select3(u_defuse, C, D) = a_select2(sigma_defuse, succ(tptp_minus_1))) & (a_select3(z_defuse, C, D) = a_select2(sigma_defuse, succ(tptp_minus_1)))))) & ((~(pv51 = pv52)) | ![E: $i, F: $i] : ((~(leq(succ(tptp_minus_1), E) & leq(succ(tptp_minus_1), F) & leq(E, succ(succ(succ(tptp_minus_1)))) & leq(F, minus(pv5, succ(succ(tptp_minus_1)))))) | ((a_select3(u_defuse, E, F) = a_select2(sigma_defuse, succ(tptp_minus_1))) & (a_select3(z_defuse, E, F) = a_select2(sigma_defuse, succ(tptp_minus_1)))))))) <=> (~(((pv51 = pv52) | ![C: $i, D: $i] : ((~(leq(succ(tptp_minus_1), C) & leq(succ(tptp_minus_1), D) & leq(C, succ(succ(succ(tptp_minus_1)))) & leq(D, minus(pv5, succ(succ(tptp_minus_1)))))) | ((a_select3(u_defuse, C, D) = a_select2(sigma_defuse, succ(tptp_minus_1))) & (a_select3(z_defuse, C, D) = a_select2(sigma_defuse, succ(tptp_minus_1)))))) & ((~(pv51 = pv52)) | ![E: $i, F: $i] : ((~(leq(succ(tptp_minus_1), E) & leq(succ(tptp_minus_1), F) & leq(E, succ(succ(succ(tptp_minus_1)))) & leq(F, minus(pv5, succ(succ(tptp_minus_1)))))) | ((a_select3(u_defuse, E, F) = a_select2(sigma_defuse, succ(tptp_minus_1))) & (a_select3(z_defuse, E, F) = a_select2(sigma_defuse, succ(tptp_minus_1))))))))),
% 0.20/0.56      inference(monotonicity,[status(thm)],[59])).
% 0.20/0.56  tff(61,plain,
% 0.20/0.56      ((~(((pv51 = pv52) | ![C: $i, D: $i] : ((~(leq(succ(tptp_minus_1), C) & leq(succ(tptp_minus_1), D) & leq(C, succ(succ(succ(tptp_minus_1)))) & leq(D, minus(pv5, succ(succ(tptp_minus_1)))))) | ((a_select3(u_defuse, C, D) = a_select2(rho_defuse, succ(tptp_minus_1))) & (a_select3(z_defuse, C, D) = a_select2(rho_defuse, succ(tptp_minus_1)))))) & ((~(pv51 = pv52)) | ![E: $i, F: $i] : ((~(leq(succ(tptp_minus_1), E) & leq(succ(tptp_minus_1), F) & leq(E, succ(succ(succ(tptp_minus_1)))) & leq(F, minus(pv5, succ(succ(tptp_minus_1)))))) | ((a_select3(u_defuse, E, F) = a_select2(rho_defuse, succ(tptp_minus_1))) & (a_select3(z_defuse, E, F) = a_select2(rho_defuse, succ(tptp_minus_1)))))))) <=> (~(((pv51 = pv52) | ![C: $i, D: $i] : ((~(leq(succ(tptp_minus_1), C) & leq(succ(tptp_minus_1), D) & leq(C, succ(succ(succ(tptp_minus_1)))) & leq(D, minus(pv5, succ(succ(tptp_minus_1)))))) | ((a_select3(u_defuse, C, D) = a_select2(sigma_defuse, succ(tptp_minus_1))) & (a_select3(z_defuse, C, D) = a_select2(sigma_defuse, succ(tptp_minus_1)))))) & ((~(pv51 = pv52)) | ![E: $i, F: $i] : ((~(leq(succ(tptp_minus_1), E) & leq(succ(tptp_minus_1), F) & leq(E, succ(succ(succ(tptp_minus_1)))) & leq(F, minus(pv5, succ(succ(tptp_minus_1)))))) | ((a_select3(u_defuse, E, F) = a_select2(sigma_defuse, succ(tptp_minus_1))) & (a_select3(z_defuse, E, F) = a_select2(sigma_defuse, succ(tptp_minus_1))))))))),
% 0.20/0.56      inference(rewrite,[status(thm)],[])).
% 0.20/0.56  tff(62,plain,
% 0.20/0.56      (((~(pv51 = pv52)) | ![E: $i, F: $i] : ((~(leq(succ(tptp_minus_1), E) & leq(succ(tptp_minus_1), F) & leq(E, succ(succ(succ(tptp_minus_1)))) & leq(F, minus(pv5, succ(succ(tptp_minus_1)))))) | ((a_select3(u_defuse, E, F) = a_select2(rho_defuse, succ(tptp_minus_1))) & (a_select3(z_defuse, E, F) = a_select2(rho_defuse, succ(tptp_minus_1)))))) <=> ((~(pv51 = pv52)) | ![E: $i, F: $i] : ((~(leq(succ(tptp_minus_1), E) & leq(succ(tptp_minus_1), F) & leq(E, succ(succ(succ(tptp_minus_1)))) & leq(F, minus(pv5, succ(succ(tptp_minus_1)))))) | ((a_select3(u_defuse, E, F) = a_select2(rho_defuse, succ(tptp_minus_1))) & (a_select3(z_defuse, E, F) = a_select2(rho_defuse, succ(tptp_minus_1))))))),
% 0.20/0.56      inference(rewrite,[status(thm)],[])).
% 0.20/0.56  tff(63,plain,
% 0.20/0.56      (((pv51 = pv52) | ![C: $i, D: $i] : ((~(leq(succ(tptp_minus_1), C) & leq(succ(tptp_minus_1), D) & leq(C, succ(succ(succ(tptp_minus_1)))) & leq(D, minus(pv5, succ(succ(tptp_minus_1)))))) | ((a_select3(u_defuse, C, D) = a_select2(rho_defuse, succ(tptp_minus_1))) & (a_select3(z_defuse, C, D) = a_select2(rho_defuse, succ(tptp_minus_1)))))) <=> ((pv51 = pv52) | ![C: $i, D: $i] : ((~(leq(succ(tptp_minus_1), C) & leq(succ(tptp_minus_1), D) & leq(C, succ(succ(succ(tptp_minus_1)))) & leq(D, minus(pv5, succ(succ(tptp_minus_1)))))) | ((a_select3(u_defuse, C, D) = a_select2(rho_defuse, succ(tptp_minus_1))) & (a_select3(z_defuse, C, D) = a_select2(rho_defuse, succ(tptp_minus_1))))))),
% 0.20/0.56      inference(rewrite,[status(thm)],[])).
% 0.20/0.56  tff(64,plain,
% 0.20/0.56      ((((pv51 = pv52) | ![C: $i, D: $i] : ((~(leq(succ(tptp_minus_1), C) & leq(succ(tptp_minus_1), D) & leq(C, succ(succ(succ(tptp_minus_1)))) & leq(D, minus(pv5, succ(succ(tptp_minus_1)))))) | ((a_select3(u_defuse, C, D) = a_select2(rho_defuse, succ(tptp_minus_1))) & (a_select3(z_defuse, C, D) = a_select2(rho_defuse, succ(tptp_minus_1)))))) & ((~(pv51 = pv52)) | ![E: $i, F: $i] : ((~(leq(succ(tptp_minus_1), E) & leq(succ(tptp_minus_1), F) & leq(E, succ(succ(succ(tptp_minus_1)))) & leq(F, minus(pv5, succ(succ(tptp_minus_1)))))) | ((a_select3(u_defuse, E, F) = a_select2(rho_defuse, succ(tptp_minus_1))) & (a_select3(z_defuse, E, F) = a_select2(rho_defuse, succ(tptp_minus_1))))))) <=> (((pv51 = pv52) | ![C: $i, D: $i] : ((~(leq(succ(tptp_minus_1), C) & leq(succ(tptp_minus_1), D) & leq(C, succ(succ(succ(tptp_minus_1)))) & leq(D, minus(pv5, succ(succ(tptp_minus_1)))))) | ((a_select3(u_defuse, C, D) = a_select2(rho_defuse, succ(tptp_minus_1))) & (a_select3(z_defuse, C, D) = a_select2(rho_defuse, succ(tptp_minus_1)))))) & ((~(pv51 = pv52)) | ![E: $i, F: $i] : ((~(leq(succ(tptp_minus_1), E) & leq(succ(tptp_minus_1), F) & leq(E, succ(succ(succ(tptp_minus_1)))) & leq(F, minus(pv5, succ(succ(tptp_minus_1)))))) | ((a_select3(u_defuse, E, F) = a_select2(rho_defuse, succ(tptp_minus_1))) & (a_select3(z_defuse, E, F) = a_select2(rho_defuse, succ(tptp_minus_1)))))))),
% 0.20/0.56      inference(monotonicity,[status(thm)],[63, 62])).
% 0.20/0.56  tff(65,plain,
% 0.20/0.56      ((~(((pv51 = pv52) | ![C: $i, D: $i] : ((~(leq(succ(tptp_minus_1), C) & leq(succ(tptp_minus_1), D) & leq(C, succ(succ(succ(tptp_minus_1)))) & leq(D, minus(pv5, succ(succ(tptp_minus_1)))))) | ((a_select3(u_defuse, C, D) = a_select2(rho_defuse, succ(tptp_minus_1))) & (a_select3(z_defuse, C, D) = a_select2(rho_defuse, succ(tptp_minus_1)))))) & ((~(pv51 = pv52)) | ![E: $i, F: $i] : ((~(leq(succ(tptp_minus_1), E) & leq(succ(tptp_minus_1), F) & leq(E, succ(succ(succ(tptp_minus_1)))) & leq(F, minus(pv5, succ(succ(tptp_minus_1)))))) | ((a_select3(u_defuse, E, F) = a_select2(rho_defuse, succ(tptp_minus_1))) & (a_select3(z_defuse, E, F) = a_select2(rho_defuse, succ(tptp_minus_1)))))))) <=> (~(((pv51 = pv52) | ![C: $i, D: $i] : ((~(leq(succ(tptp_minus_1), C) & leq(succ(tptp_minus_1), D) & leq(C, succ(succ(succ(tptp_minus_1)))) & leq(D, minus(pv5, succ(succ(tptp_minus_1)))))) | ((a_select3(u_defuse, C, D) = a_select2(rho_defuse, succ(tptp_minus_1))) & (a_select3(z_defuse, C, D) = a_select2(rho_defuse, succ(tptp_minus_1)))))) & ((~(pv51 = pv52)) | ![E: $i, F: $i] : ((~(leq(succ(tptp_minus_1), E) & leq(succ(tptp_minus_1), F) & leq(E, succ(succ(succ(tptp_minus_1)))) & leq(F, minus(pv5, succ(succ(tptp_minus_1)))))) | ((a_select3(u_defuse, E, F) = a_select2(rho_defuse, succ(tptp_minus_1))) & (a_select3(z_defuse, E, F) = a_select2(rho_defuse, succ(tptp_minus_1))))))))),
% 0.20/0.56      inference(monotonicity,[status(thm)],[64])).
% 0.20/0.56  tff(66,plain,
% 0.20/0.56      ((~(((pv51 = pv52) | ![C: $i, D: $i] : ((~(leq(n0, C) & leq(n0, D) & leq(C, n2) & leq(D, minus(pv5, n1)))) | ((a_select3(u_defuse, C, D) = use) & (a_select3(z_defuse, C, D) = use)))) & ((~(pv51 = pv52)) | ![E: $i, F: $i] : ((~(leq(n0, E) & leq(n0, F) & leq(E, n2) & leq(F, minus(pv5, n1)))) | ((a_select3(u_defuse, E, F) = use) & (a_select3(z_defuse, E, F) = use)))))) <=> (~(((pv51 = pv52) | ![C: $i, D: $i] : ((~(leq(succ(tptp_minus_1), C) & leq(succ(tptp_minus_1), D) & leq(C, succ(succ(succ(tptp_minus_1)))) & leq(D, minus(pv5, succ(succ(tptp_minus_1)))))) | ((a_select3(u_defuse, C, D) = a_select2(rho_defuse, succ(tptp_minus_1))) & (a_select3(z_defuse, C, D) = a_select2(rho_defuse, succ(tptp_minus_1)))))) & ((~(pv51 = pv52)) | ![E: $i, F: $i] : ((~(leq(succ(tptp_minus_1), E) & leq(succ(tptp_minus_1), F) & leq(E, succ(succ(succ(tptp_minus_1)))) & leq(F, minus(pv5, succ(succ(tptp_minus_1)))))) | ((a_select3(u_defuse, E, F) = a_select2(rho_defuse, succ(tptp_minus_1))) & (a_select3(z_defuse, E, F) = a_select2(rho_defuse, succ(tptp_minus_1))))))))),
% 0.20/0.56      inference(rewrite,[status(thm)],[])).
% 0.20/0.56  tff(67,plain,
% 0.20/0.56      (((~(pv51 = pv52)) | ![E: $i, F: $i] : ((~(leq(n0, E) & leq(n0, F) & leq(E, n2) & leq(F, minus(pv5, n1)))) | ((a_select3(u_defuse, E, F) = use) & (a_select3(z_defuse, E, F) = use)))) <=> ((~(pv51 = pv52)) | ![E: $i, F: $i] : ((~(leq(n0, E) & leq(n0, F) & leq(E, n2) & leq(F, minus(pv5, n1)))) | ((a_select3(u_defuse, E, F) = use) & (a_select3(z_defuse, E, F) = use))))),
% 0.20/0.56      inference(rewrite,[status(thm)],[])).
% 0.20/0.56  tff(68,plain,
% 0.20/0.56      (((pv51 = pv52) | ![C: $i, D: $i] : ((~(leq(n0, C) & leq(n0, D) & leq(C, n2) & leq(D, minus(pv5, n1)))) | ((a_select3(u_defuse, C, D) = use) & (a_select3(z_defuse, C, D) = use)))) <=> ((pv51 = pv52) | ![C: $i, D: $i] : ((~(leq(n0, C) & leq(n0, D) & leq(C, n2) & leq(D, minus(pv5, n1)))) | ((a_select3(u_defuse, C, D) = use) & (a_select3(z_defuse, C, D) = use))))),
% 0.20/0.56      inference(rewrite,[status(thm)],[])).
% 0.20/0.56  tff(69,plain,
% 0.20/0.56      ((((pv51 = pv52) | ![C: $i, D: $i] : ((~(leq(n0, C) & leq(n0, D) & leq(C, n2) & leq(D, minus(pv5, n1)))) | ((a_select3(u_defuse, C, D) = use) & (a_select3(z_defuse, C, D) = use)))) & ((~(pv51 = pv52)) | ![E: $i, F: $i] : ((~(leq(n0, E) & leq(n0, F) & leq(E, n2) & leq(F, minus(pv5, n1)))) | ((a_select3(u_defuse, E, F) = use) & (a_select3(z_defuse, E, F) = use))))) <=> (((pv51 = pv52) | ![C: $i, D: $i] : ((~(leq(n0, C) & leq(n0, D) & leq(C, n2) & leq(D, minus(pv5, n1)))) | ((a_select3(u_defuse, C, D) = use) & (a_select3(z_defuse, C, D) = use)))) & ((~(pv51 = pv52)) | ![E: $i, F: $i] : ((~(leq(n0, E) & leq(n0, F) & leq(E, n2) & leq(F, minus(pv5, n1)))) | ((a_select3(u_defuse, E, F) = use) & (a_select3(z_defuse, E, F) = use)))))),
% 0.20/0.56      inference(monotonicity,[status(thm)],[68, 67])).
% 0.20/0.56  tff(70,plain,
% 0.20/0.56      ((~(((pv51 = pv52) | ![C: $i, D: $i] : ((~(leq(n0, C) & leq(n0, D) & leq(C, n2) & leq(D, minus(pv5, n1)))) | ((a_select3(u_defuse, C, D) = use) & (a_select3(z_defuse, C, D) = use)))) & ((~(pv51 = pv52)) | ![E: $i, F: $i] : ((~(leq(n0, E) & leq(n0, F) & leq(E, n2) & leq(F, minus(pv5, n1)))) | ((a_select3(u_defuse, E, F) = use) & (a_select3(z_defuse, E, F) = use)))))) <=> (~(((pv51 = pv52) | ![C: $i, D: $i] : ((~(leq(n0, C) & leq(n0, D) & leq(C, n2) & leq(D, minus(pv5, n1)))) | ((a_select3(u_defuse, C, D) = use) & (a_select3(z_defuse, C, D) = use)))) & ((~(pv51 = pv52)) | ![E: $i, F: $i] : ((~(leq(n0, E) & leq(n0, F) & leq(E, n2) & leq(F, minus(pv5, n1)))) | ((a_select3(u_defuse, E, F) = use) & (a_select3(z_defuse, E, F) = use))))))),
% 0.20/0.56      inference(monotonicity,[status(thm)],[69])).
% 0.20/0.56  tff(71,plain,
% 0.20/0.56      ((~(((pv51 = pv52) | ![C: $i, D: $i] : ((~(leq(n0, C) & leq(n0, D) & leq(C, n2) & leq(D, minus(pv5, n1)))) | ((a_select3(u_defuse, C, D) = use) & (a_select3(z_defuse, C, D) = use)))) & ((~(pv51 = pv52)) | ![E: $i, F: $i] : ((~(leq(n0, E) & leq(n0, F) & leq(E, n2) & leq(F, minus(pv5, n1)))) | ((a_select3(u_defuse, E, F) = use) & (a_select3(z_defuse, E, F) = use)))))) <=> (~(((pv51 = pv52) | ![C: $i, D: $i] : ((~(leq(n0, C) & leq(n0, D) & leq(C, n2) & leq(D, minus(pv5, n1)))) | ((a_select3(u_defuse, C, D) = use) & (a_select3(z_defuse, C, D) = use)))) & ((~(pv51 = pv52)) | ![E: $i, F: $i] : ((~(leq(n0, E) & leq(n0, F) & leq(E, n2) & leq(F, minus(pv5, n1)))) | ((a_select3(u_defuse, E, F) = use) & (a_select3(z_defuse, E, F) = use))))))),
% 0.20/0.56      inference(rewrite,[status(thm)],[])).
% 0.20/0.56  tff(72,plain,
% 0.20/0.56      ((~(((pv51 = pv52) | ((a_select2(rho_defuse, n0) = use) & (a_select2(rho_defuse, n1) = use) & (a_select2(rho_defuse, n2) = use) & (a_select2(sigma_defuse, n0) = use) & (a_select2(sigma_defuse, n1) = use) & (a_select2(sigma_defuse, n2) = use) & (a_select2(sigma_defuse, n3) = use) & (a_select2(sigma_defuse, n4) = use) & (a_select2(sigma_defuse, n5) = use) & (a_select3(u_defuse, n0, n0) = use) & (a_select3(u_defuse, n1, n0) = use) & (a_select3(u_defuse, n2, n0) = use) & (a_select2(xinit_defuse, n3) = use) & (a_select2(xinit_defuse, n4) = use) & (a_select2(xinit_defuse, n5) = use) & (a_select2(xinit_mean_defuse, n0) = use) & (a_select2(xinit_mean_defuse, n1) = use) & (a_select2(xinit_mean_defuse, n2) = use) & (a_select2(xinit_mean_defuse, n3) = use) & (a_select2(xinit_mean_defuse, n4) = use) & (a_select2(xinit_mean_defuse, n5) = use) & (a_select2(xinit_noise_defuse, n0) = use) & (a_select2(xinit_noise_defuse, n1) = use) & (a_select2(xinit_noise_defuse, n2) = use) & (a_select2(xinit_noise_defuse, n3) = use) & (a_select2(xinit_noise_defuse, n4) = use) & (a_select2(xinit_noise_defuse, n5) = use) & leq(n0, pv5) & leq(n0, pv51) & leq(pv5, minus(n999, n1)) & leq(pv51, minus(n6, n1)) & ![C: $i, D: $i] : ((~(leq(n0, C) & leq(n0, D) & leq(C, n2) & leq(D, minus(pv5, n1)))) | ((a_select3(u_defuse, C, D) = use) & (a_select3(z_defuse, C, D) = use))))) & ((~(pv51 = pv52)) | ((a_select2(rho_defuse, n0) = use) & (a_select2(rho_defuse, n1) = use) & (a_select2(rho_defuse, n2) = use) & (a_select2(sigma_defuse, n0) = use) & (a_select2(sigma_defuse, n1) = use) & (a_select2(sigma_defuse, n2) = use) & (a_select2(sigma_defuse, n3) = use) & (a_select2(sigma_defuse, n4) = use) & (a_select2(sigma_defuse, n5) = use) & (a_select3(u_defuse, n0, n0) = use) & (a_select3(u_defuse, n1, n0) = use) & (a_select3(u_defuse, n2, n0) = use) & (a_select2(xinit_defuse, n3) = use) & (a_select2(xinit_defuse, n4) = use) & (a_select2(xinit_defuse, n5) = use) & (a_select2(xinit_mean_defuse, n0) = use) & (a_select2(xinit_mean_defuse, n1) = use) & (a_select2(xinit_mean_defuse, n2) = use) & (a_select2(xinit_mean_defuse, n3) = use) & (a_select2(xinit_mean_defuse, n4) = use) & (a_select2(xinit_mean_defuse, n5) = use) & (a_select2(xinit_noise_defuse, n0) = use) & (a_select2(xinit_noise_defuse, n1) = use) & (a_select2(xinit_noise_defuse, n2) = use) & (a_select2(xinit_noise_defuse, n3) = use) & (a_select2(xinit_noise_defuse, n4) = use) & (a_select2(xinit_noise_defuse, n5) = use) & leq(n0, pv5) & leq(n0, pv51) & leq(pv5, minus(n999, n1)) & leq(pv51, minus(n6, n1)) & ![E: $i, F: $i] : ((~(leq(n0, E) & leq(n0, F) & leq(E, n2) & leq(F, minus(pv5, n1)))) | ((a_select3(u_defuse, E, F) = use) & (a_select3(z_defuse, E, F) = use))))))) <=> (~(((pv51 = pv52) | ![C: $i, D: $i] : ((~(leq(n0, C) & leq(n0, D) & leq(C, n2) & leq(D, minus(pv5, n1)))) | ((a_select3(u_defuse, C, D) = use) & (a_select3(z_defuse, C, D) = use)))) & ((~(pv51 = pv52)) | ![E: $i, F: $i] : ((~(leq(n0, E) & leq(n0, F) & leq(E, n2) & leq(F, minus(pv5, n1)))) | ((a_select3(u_defuse, E, F) = use) & (a_select3(z_defuse, E, F) = use))))))),
% 0.20/0.57      inference(rewrite,[status(thm)],[])).
% 0.20/0.57  tff(73,plain,
% 0.20/0.57      (((a_select2(rho_defuse, n0) = use) & (a_select2(rho_defuse, n1) = use) & (a_select2(rho_defuse, n2) = use) & (a_select2(sigma_defuse, n0) = use) & (a_select2(sigma_defuse, n1) = use) & (a_select2(sigma_defuse, n2) = use) & (a_select2(sigma_defuse, n3) = use) & (a_select2(sigma_defuse, n4) = use) & (a_select2(sigma_defuse, n5) = use) & (a_select3(u_defuse, n0, n0) = use) & (a_select3(u_defuse, n1, n0) = use) & (a_select3(u_defuse, n2, n0) = use) & (a_select2(xinit_defuse, n3) = use) & (a_select2(xinit_defuse, n4) = use) & (a_select2(xinit_defuse, n5) = use) & (a_select2(xinit_mean_defuse, n0) = use) & (a_select2(xinit_mean_defuse, n1) = use) & (a_select2(xinit_mean_defuse, n2) = use) & (a_select2(xinit_mean_defuse, n3) = use) & (a_select2(xinit_mean_defuse, n4) = use) & (a_select2(xinit_mean_defuse, n5) = use) & (a_select2(xinit_noise_defuse, n0) = use) & (a_select2(xinit_noise_defuse, n1) = use) & (a_select2(xinit_noise_defuse, n2) = use) & (a_select2(xinit_noise_defuse, n3) = use) & (a_select2(xinit_noise_defuse, n4) = use) & (a_select2(xinit_noise_defuse, n5) = use) & leq(n0, pv5) & leq(n0, pv51) & leq(pv5, minus(n999, n1)) & leq(pv51, minus(n6, n1)) & ![E: $i, F: $i] : ((~(leq(n0, E) & leq(n0, F) & leq(E, n2) & leq(F, minus(pv5, n1)))) | ((a_select3(u_defuse, E, F) = use) & (a_select3(z_defuse, E, F) = use)))) <=> ((a_select2(rho_defuse, n0) = use) & (a_select2(rho_defuse, n1) = use) & (a_select2(rho_defuse, n2) = use) & (a_select2(sigma_defuse, n0) = use) & (a_select2(sigma_defuse, n1) = use) & (a_select2(sigma_defuse, n2) = use) & (a_select2(sigma_defuse, n3) = use) & (a_select2(sigma_defuse, n4) = use) & (a_select2(sigma_defuse, n5) = use) & (a_select3(u_defuse, n0, n0) = use) & (a_select3(u_defuse, n1, n0) = use) & (a_select3(u_defuse, n2, n0) = use) & (a_select2(xinit_defuse, n3) = use) & (a_select2(xinit_defuse, n4) = use) & (a_select2(xinit_defuse, n5) = use) & (a_select2(xinit_mean_defuse, n0) = use) & (a_select2(xinit_mean_defuse, n1) = use) & (a_select2(xinit_mean_defuse, n2) = use) & (a_select2(xinit_mean_defuse, n3) = use) & (a_select2(xinit_mean_defuse, n4) = use) & (a_select2(xinit_mean_defuse, n5) = use) & (a_select2(xinit_noise_defuse, n0) = use) & (a_select2(xinit_noise_defuse, n1) = use) & (a_select2(xinit_noise_defuse, n2) = use) & (a_select2(xinit_noise_defuse, n3) = use) & (a_select2(xinit_noise_defuse, n4) = use) & (a_select2(xinit_noise_defuse, n5) = use) & leq(n0, pv5) & leq(n0, pv51) & leq(pv5, minus(n999, n1)) & leq(pv51, minus(n6, n1)) & ![E: $i, F: $i] : ((~(leq(n0, E) & leq(n0, F) & leq(E, n2) & leq(F, minus(pv5, n1)))) | ((a_select3(u_defuse, E, F) = use) & (a_select3(z_defuse, E, F) = use))))),
% 0.20/0.57      inference(rewrite,[status(thm)],[])).
% 0.20/0.57  tff(74,plain,
% 0.20/0.57      (((~(pv51 = pv52)) | ((a_select2(rho_defuse, n0) = use) & (a_select2(rho_defuse, n1) = use) & (a_select2(rho_defuse, n2) = use) & (a_select2(sigma_defuse, n0) = use) & (a_select2(sigma_defuse, n1) = use) & (a_select2(sigma_defuse, n2) = use) & (a_select2(sigma_defuse, n3) = use) & (a_select2(sigma_defuse, n4) = use) & (a_select2(sigma_defuse, n5) = use) & (a_select3(u_defuse, n0, n0) = use) & (a_select3(u_defuse, n1, n0) = use) & (a_select3(u_defuse, n2, n0) = use) & (a_select2(xinit_defuse, n3) = use) & (a_select2(xinit_defuse, n4) = use) & (a_select2(xinit_defuse, n5) = use) & (a_select2(xinit_mean_defuse, n0) = use) & (a_select2(xinit_mean_defuse, n1) = use) & (a_select2(xinit_mean_defuse, n2) = use) & (a_select2(xinit_mean_defuse, n3) = use) & (a_select2(xinit_mean_defuse, n4) = use) & (a_select2(xinit_mean_defuse, n5) = use) & (a_select2(xinit_noise_defuse, n0) = use) & (a_select2(xinit_noise_defuse, n1) = use) & (a_select2(xinit_noise_defuse, n2) = use) & (a_select2(xinit_noise_defuse, n3) = use) & (a_select2(xinit_noise_defuse, n4) = use) & (a_select2(xinit_noise_defuse, n5) = use) & leq(n0, pv5) & leq(n0, pv51) & leq(pv5, minus(n999, n1)) & leq(pv51, minus(n6, n1)) & ![E: $i, F: $i] : ((~(leq(n0, E) & leq(n0, F) & leq(E, n2) & leq(F, minus(pv5, n1)))) | ((a_select3(u_defuse, E, F) = use) & (a_select3(z_defuse, E, F) = use))))) <=> ((~(pv51 = pv52)) | ((a_select2(rho_defuse, n0) = use) & (a_select2(rho_defuse, n1) = use) & (a_select2(rho_defuse, n2) = use) & (a_select2(sigma_defuse, n0) = use) & (a_select2(sigma_defuse, n1) = use) & (a_select2(sigma_defuse, n2) = use) & (a_select2(sigma_defuse, n3) = use) & (a_select2(sigma_defuse, n4) = use) & (a_select2(sigma_defuse, n5) = use) & (a_select3(u_defuse, n0, n0) = use) & (a_select3(u_defuse, n1, n0) = use) & (a_select3(u_defuse, n2, n0) = use) & (a_select2(xinit_defuse, n3) = use) & (a_select2(xinit_defuse, n4) = use) & (a_select2(xinit_defuse, n5) = use) & (a_select2(xinit_mean_defuse, n0) = use) & (a_select2(xinit_mean_defuse, n1) = use) & (a_select2(xinit_mean_defuse, n2) = use) & (a_select2(xinit_mean_defuse, n3) = use) & (a_select2(xinit_mean_defuse, n4) = use) & (a_select2(xinit_mean_defuse, n5) = use) & (a_select2(xinit_noise_defuse, n0) = use) & (a_select2(xinit_noise_defuse, n1) = use) & (a_select2(xinit_noise_defuse, n2) = use) & (a_select2(xinit_noise_defuse, n3) = use) & (a_select2(xinit_noise_defuse, n4) = use) & (a_select2(xinit_noise_defuse, n5) = use) & leq(n0, pv5) & leq(n0, pv51) & leq(pv5, minus(n999, n1)) & leq(pv51, minus(n6, n1)) & ![E: $i, F: $i] : ((~(leq(n0, E) & leq(n0, F) & leq(E, n2) & leq(F, minus(pv5, n1)))) | ((a_select3(u_defuse, E, F) = use) & (a_select3(z_defuse, E, F) = use)))))),
% 0.20/0.57      inference(monotonicity,[status(thm)],[73])).
% 0.20/0.57  tff(75,plain,
% 0.20/0.57      (((a_select2(rho_defuse, n0) = use) & (a_select2(rho_defuse, n1) = use) & (a_select2(rho_defuse, n2) = use) & (a_select2(sigma_defuse, n0) = use) & (a_select2(sigma_defuse, n1) = use) & (a_select2(sigma_defuse, n2) = use) & (a_select2(sigma_defuse, n3) = use) & (a_select2(sigma_defuse, n4) = use) & (a_select2(sigma_defuse, n5) = use) & (a_select3(u_defuse, n0, n0) = use) & (a_select3(u_defuse, n1, n0) = use) & (a_select3(u_defuse, n2, n0) = use) & (a_select2(xinit_defuse, n3) = use) & (a_select2(xinit_defuse, n4) = use) & (a_select2(xinit_defuse, n5) = use) & (a_select2(xinit_mean_defuse, n0) = use) & (a_select2(xinit_mean_defuse, n1) = use) & (a_select2(xinit_mean_defuse, n2) = use) & (a_select2(xinit_mean_defuse, n3) = use) & (a_select2(xinit_mean_defuse, n4) = use) & (a_select2(xinit_mean_defuse, n5) = use) & (a_select2(xinit_noise_defuse, n0) = use) & (a_select2(xinit_noise_defuse, n1) = use) & (a_select2(xinit_noise_defuse, n2) = use) & (a_select2(xinit_noise_defuse, n3) = use) & (a_select2(xinit_noise_defuse, n4) = use) & (a_select2(xinit_noise_defuse, n5) = use) & leq(n0, pv5) & leq(n0, pv51) & leq(pv5, minus(n999, n1)) & leq(pv51, minus(n6, n1)) & ![C: $i, D: $i] : ((~(leq(n0, C) & leq(n0, D) & leq(C, n2) & leq(D, minus(pv5, n1)))) | ((a_select3(u_defuse, C, D) = use) & (a_select3(z_defuse, C, D) = use)))) <=> ((a_select2(rho_defuse, n0) = use) & (a_select2(rho_defuse, n1) = use) & (a_select2(rho_defuse, n2) = use) & (a_select2(sigma_defuse, n0) = use) & (a_select2(sigma_defuse, n1) = use) & (a_select2(sigma_defuse, n2) = use) & (a_select2(sigma_defuse, n3) = use) & (a_select2(sigma_defuse, n4) = use) & (a_select2(sigma_defuse, n5) = use) & (a_select3(u_defuse, n0, n0) = use) & (a_select3(u_defuse, n1, n0) = use) & (a_select3(u_defuse, n2, n0) = use) & (a_select2(xinit_defuse, n3) = use) & (a_select2(xinit_defuse, n4) = use) & (a_select2(xinit_defuse, n5) = use) & (a_select2(xinit_mean_defuse, n0) = use) & (a_select2(xinit_mean_defuse, n1) = use) & (a_select2(xinit_mean_defuse, n2) = use) & (a_select2(xinit_mean_defuse, n3) = use) & (a_select2(xinit_mean_defuse, n4) = use) & (a_select2(xinit_mean_defuse, n5) = use) & (a_select2(xinit_noise_defuse, n0) = use) & (a_select2(xinit_noise_defuse, n1) = use) & (a_select2(xinit_noise_defuse, n2) = use) & (a_select2(xinit_noise_defuse, n3) = use) & (a_select2(xinit_noise_defuse, n4) = use) & (a_select2(xinit_noise_defuse, n5) = use) & leq(n0, pv5) & leq(n0, pv51) & leq(pv5, minus(n999, n1)) & leq(pv51, minus(n6, n1)) & ![C: $i, D: $i] : ((~(leq(n0, C) & leq(n0, D) & leq(C, n2) & leq(D, minus(pv5, n1)))) | ((a_select3(u_defuse, C, D) = use) & (a_select3(z_defuse, C, D) = use))))),
% 0.20/0.57      inference(rewrite,[status(thm)],[])).
% 0.20/0.57  tff(76,plain,
% 0.20/0.57      (((pv51 = pv52) | ((a_select2(rho_defuse, n0) = use) & (a_select2(rho_defuse, n1) = use) & (a_select2(rho_defuse, n2) = use) & (a_select2(sigma_defuse, n0) = use) & (a_select2(sigma_defuse, n1) = use) & (a_select2(sigma_defuse, n2) = use) & (a_select2(sigma_defuse, n3) = use) & (a_select2(sigma_defuse, n4) = use) & (a_select2(sigma_defuse, n5) = use) & (a_select3(u_defuse, n0, n0) = use) & (a_select3(u_defuse, n1, n0) = use) & (a_select3(u_defuse, n2, n0) = use) & (a_select2(xinit_defuse, n3) = use) & (a_select2(xinit_defuse, n4) = use) & (a_select2(xinit_defuse, n5) = use) & (a_select2(xinit_mean_defuse, n0) = use) & (a_select2(xinit_mean_defuse, n1) = use) & (a_select2(xinit_mean_defuse, n2) = use) & (a_select2(xinit_mean_defuse, n3) = use) & (a_select2(xinit_mean_defuse, n4) = use) & (a_select2(xinit_mean_defuse, n5) = use) & (a_select2(xinit_noise_defuse, n0) = use) & (a_select2(xinit_noise_defuse, n1) = use) & (a_select2(xinit_noise_defuse, n2) = use) & (a_select2(xinit_noise_defuse, n3) = use) & (a_select2(xinit_noise_defuse, n4) = use) & (a_select2(xinit_noise_defuse, n5) = use) & leq(n0, pv5) & leq(n0, pv51) & leq(pv5, minus(n999, n1)) & leq(pv51, minus(n6, n1)) & ![C: $i, D: $i] : ((~(leq(n0, C) & leq(n0, D) & leq(C, n2) & leq(D, minus(pv5, n1)))) | ((a_select3(u_defuse, C, D) = use) & (a_select3(z_defuse, C, D) = use))))) <=> ((pv51 = pv52) | ((a_select2(rho_defuse, n0) = use) & (a_select2(rho_defuse, n1) = use) & (a_select2(rho_defuse, n2) = use) & (a_select2(sigma_defuse, n0) = use) & (a_select2(sigma_defuse, n1) = use) & (a_select2(sigma_defuse, n2) = use) & (a_select2(sigma_defuse, n3) = use) & (a_select2(sigma_defuse, n4) = use) & (a_select2(sigma_defuse, n5) = use) & (a_select3(u_defuse, n0, n0) = use) & (a_select3(u_defuse, n1, n0) = use) & (a_select3(u_defuse, n2, n0) = use) & (a_select2(xinit_defuse, n3) = use) & (a_select2(xinit_defuse, n4) = use) & (a_select2(xinit_defuse, n5) = use) & (a_select2(xinit_mean_defuse, n0) = use) & (a_select2(xinit_mean_defuse, n1) = use) & (a_select2(xinit_mean_defuse, n2) = use) & (a_select2(xinit_mean_defuse, n3) = use) & (a_select2(xinit_mean_defuse, n4) = use) & (a_select2(xinit_mean_defuse, n5) = use) & (a_select2(xinit_noise_defuse, n0) = use) & (a_select2(xinit_noise_defuse, n1) = use) & (a_select2(xinit_noise_defuse, n2) = use) & (a_select2(xinit_noise_defuse, n3) = use) & (a_select2(xinit_noise_defuse, n4) = use) & (a_select2(xinit_noise_defuse, n5) = use) & leq(n0, pv5) & leq(n0, pv51) & leq(pv5, minus(n999, n1)) & leq(pv51, minus(n6, n1)) & ![C: $i, D: $i] : ((~(leq(n0, C) & leq(n0, D) & leq(C, n2) & leq(D, minus(pv5, n1)))) | ((a_select3(u_defuse, C, D) = use) & (a_select3(z_defuse, C, D) = use)))))),
% 0.20/0.57      inference(monotonicity,[status(thm)],[75])).
% 0.20/0.57  tff(77,plain,
% 0.20/0.57      ((((pv51 = pv52) | ((a_select2(rho_defuse, n0) = use) & (a_select2(rho_defuse, n1) = use) & (a_select2(rho_defuse, n2) = use) & (a_select2(sigma_defuse, n0) = use) & (a_select2(sigma_defuse, n1) = use) & (a_select2(sigma_defuse, n2) = use) & (a_select2(sigma_defuse, n3) = use) & (a_select2(sigma_defuse, n4) = use) & (a_select2(sigma_defuse, n5) = use) & (a_select3(u_defuse, n0, n0) = use) & (a_select3(u_defuse, n1, n0) = use) & (a_select3(u_defuse, n2, n0) = use) & (a_select2(xinit_defuse, n3) = use) & (a_select2(xinit_defuse, n4) = use) & (a_select2(xinit_defuse, n5) = use) & (a_select2(xinit_mean_defuse, n0) = use) & (a_select2(xinit_mean_defuse, n1) = use) & (a_select2(xinit_mean_defuse, n2) = use) & (a_select2(xinit_mean_defuse, n3) = use) & (a_select2(xinit_mean_defuse, n4) = use) & (a_select2(xinit_mean_defuse, n5) = use) & (a_select2(xinit_noise_defuse, n0) = use) & (a_select2(xinit_noise_defuse, n1) = use) & (a_select2(xinit_noise_defuse, n2) = use) & (a_select2(xinit_noise_defuse, n3) = use) & (a_select2(xinit_noise_defuse, n4) = use) & (a_select2(xinit_noise_defuse, n5) = use) & leq(n0, pv5) & leq(n0, pv51) & leq(pv5, minus(n999, n1)) & leq(pv51, minus(n6, n1)) & ![C: $i, D: $i] : ((~(leq(n0, C) & leq(n0, D) & leq(C, n2) & leq(D, minus(pv5, n1)))) | ((a_select3(u_defuse, C, D) = use) & (a_select3(z_defuse, C, D) = use))))) & ((~(pv51 = pv52)) | ((a_select2(rho_defuse, n0) = use) & (a_select2(rho_defuse, n1) = use) & (a_select2(rho_defuse, n2) = use) & (a_select2(sigma_defuse, n0) = use) & (a_select2(sigma_defuse, n1) = use) & (a_select2(sigma_defuse, n2) = use) & (a_select2(sigma_defuse, n3) = use) & (a_select2(sigma_defuse, n4) = use) & (a_select2(sigma_defuse, n5) = use) & (a_select3(u_defuse, n0, n0) = use) & (a_select3(u_defuse, n1, n0) = use) & (a_select3(u_defuse, n2, n0) = use) & (a_select2(xinit_defuse, n3) = use) & (a_select2(xinit_defuse, n4) = use) & (a_select2(xinit_defuse, n5) = use) & (a_select2(xinit_mean_defuse, n0) = use) & (a_select2(xinit_mean_defuse, n1) = use) & (a_select2(xinit_mean_defuse, n2) = use) & (a_select2(xinit_mean_defuse, n3) = use) & (a_select2(xinit_mean_defuse, n4) = use) & (a_select2(xinit_mean_defuse, n5) = use) & (a_select2(xinit_noise_defuse, n0) = use) & (a_select2(xinit_noise_defuse, n1) = use) & (a_select2(xinit_noise_defuse, n2) = use) & (a_select2(xinit_noise_defuse, n3) = use) & (a_select2(xinit_noise_defuse, n4) = use) & (a_select2(xinit_noise_defuse, n5) = use) & leq(n0, pv5) & leq(n0, pv51) & leq(pv5, minus(n999, n1)) & leq(pv51, minus(n6, n1)) & ![E: $i, F: $i] : ((~(leq(n0, E) & leq(n0, F) & leq(E, n2) & leq(F, minus(pv5, n1)))) | ((a_select3(u_defuse, E, F) = use) & (a_select3(z_defuse, E, F) = use)))))) <=> (((pv51 = pv52) | ((a_select2(rho_defuse, n0) = use) & (a_select2(rho_defuse, n1) = use) & (a_select2(rho_defuse, n2) = use) & (a_select2(sigma_defuse, n0) = use) & (a_select2(sigma_defuse, n1) = use) & (a_select2(sigma_defuse, n2) = use) & (a_select2(sigma_defuse, n3) = use) & (a_select2(sigma_defuse, n4) = use) & (a_select2(sigma_defuse, n5) = use) & (a_select3(u_defuse, n0, n0) = use) & (a_select3(u_defuse, n1, n0) = use) & (a_select3(u_defuse, n2, n0) = use) & (a_select2(xinit_defuse, n3) = use) & (a_select2(xinit_defuse, n4) = use) & (a_select2(xinit_defuse, n5) = use) & (a_select2(xinit_mean_defuse, n0) = use) & (a_select2(xinit_mean_defuse, n1) = use) & (a_select2(xinit_mean_defuse, n2) = use) & (a_select2(xinit_mean_defuse, n3) = use) & (a_select2(xinit_mean_defuse, n4) = use) & (a_select2(xinit_mean_defuse, n5) = use) & (a_select2(xinit_noise_defuse, n0) = use) & (a_select2(xinit_noise_defuse, n1) = use) & (a_select2(xinit_noise_defuse, n2) = use) & (a_select2(xinit_noise_defuse, n3) = use) & (a_select2(xinit_noise_defuse, n4) = use) & (a_select2(xinit_noise_defuse, n5) = use) & leq(n0, pv5) & leq(n0, pv51) & leq(pv5, minus(n999, n1)) & leq(pv51, minus(n6, n1)) & ![C: $i, D: $i] : ((~(leq(n0, C) & leq(n0, D) & leq(C, n2) & leq(D, minus(pv5, n1)))) | ((a_select3(u_defuse, C, D) = use) & (a_select3(z_defuse, C, D) = use))))) & ((~(pv51 = pv52)) | ((a_select2(rho_defuse, n0) = use) & (a_select2(rho_defuse, n1) = use) & (a_select2(rho_defuse, n2) = use) & (a_select2(sigma_defuse, n0) = use) & (a_select2(sigma_defuse, n1) = use) & (a_select2(sigma_defuse, n2) = use) & (a_select2(sigma_defuse, n3) = use) & (a_select2(sigma_defuse, n4) = use) & (a_select2(sigma_defuse, n5) = use) & (a_select3(u_defuse, n0, n0) = use) & (a_select3(u_defuse, n1, n0) = use) & (a_select3(u_defuse, n2, n0) = use) & (a_select2(xinit_defuse, n3) = use) & (a_select2(xinit_defuse, n4) = use) & (a_select2(xinit_defuse, n5) = use) & (a_select2(xinit_mean_defuse, n0) = use) & (a_select2(xinit_mean_defuse, n1) = use) & (a_select2(xinit_mean_defuse, n2) = use) & (a_select2(xinit_mean_defuse, n3) = use) & (a_select2(xinit_mean_defuse, n4) = use) & (a_select2(xinit_mean_defuse, n5) = use) & (a_select2(xinit_noise_defuse, n0) = use) & (a_select2(xinit_noise_defuse, n1) = use) & (a_select2(xinit_noise_defuse, n2) = use) & (a_select2(xinit_noise_defuse, n3) = use) & (a_select2(xinit_noise_defuse, n4) = use) & (a_select2(xinit_noise_defuse, n5) = use) & leq(n0, pv5) & leq(n0, pv51) & leq(pv5, minus(n999, n1)) & leq(pv51, minus(n6, n1)) & ![E: $i, F: $i] : ((~(leq(n0, E) & leq(n0, F) & leq(E, n2) & leq(F, minus(pv5, n1)))) | ((a_select3(u_defuse, E, F) = use) & (a_select3(z_defuse, E, F) = use))))))),
% 0.20/0.58      inference(monotonicity,[status(thm)],[76, 74])).
% 0.20/0.58  tff(78,plain,
% 0.20/0.58      ((~(((pv51 = pv52) | ((a_select2(rho_defuse, n0) = use) & (a_select2(rho_defuse, n1) = use) & (a_select2(rho_defuse, n2) = use) & (a_select2(sigma_defuse, n0) = use) & (a_select2(sigma_defuse, n1) = use) & (a_select2(sigma_defuse, n2) = use) & (a_select2(sigma_defuse, n3) = use) & (a_select2(sigma_defuse, n4) = use) & (a_select2(sigma_defuse, n5) = use) & (a_select3(u_defuse, n0, n0) = use) & (a_select3(u_defuse, n1, n0) = use) & (a_select3(u_defuse, n2, n0) = use) & (a_select2(xinit_defuse, n3) = use) & (a_select2(xinit_defuse, n4) = use) & (a_select2(xinit_defuse, n5) = use) & (a_select2(xinit_mean_defuse, n0) = use) & (a_select2(xinit_mean_defuse, n1) = use) & (a_select2(xinit_mean_defuse, n2) = use) & (a_select2(xinit_mean_defuse, n3) = use) & (a_select2(xinit_mean_defuse, n4) = use) & (a_select2(xinit_mean_defuse, n5) = use) & (a_select2(xinit_noise_defuse, n0) = use) & (a_select2(xinit_noise_defuse, n1) = use) & (a_select2(xinit_noise_defuse, n2) = use) & (a_select2(xinit_noise_defuse, n3) = use) & (a_select2(xinit_noise_defuse, n4) = use) & (a_select2(xinit_noise_defuse, n5) = use) & leq(n0, pv5) & leq(n0, pv51) & leq(pv5, minus(n999, n1)) & leq(pv51, minus(n6, n1)) & ![C: $i, D: $i] : ((~(leq(n0, C) & leq(n0, D) & leq(C, n2) & leq(D, minus(pv5, n1)))) | ((a_select3(u_defuse, C, D) = use) & (a_select3(z_defuse, C, D) = use))))) & ((~(pv51 = pv52)) | ((a_select2(rho_defuse, n0) = use) & (a_select2(rho_defuse, n1) = use) & (a_select2(rho_defuse, n2) = use) & (a_select2(sigma_defuse, n0) = use) & (a_select2(sigma_defuse, n1) = use) & (a_select2(sigma_defuse, n2) = use) & (a_select2(sigma_defuse, n3) = use) & (a_select2(sigma_defuse, n4) = use) & (a_select2(sigma_defuse, n5) = use) & (a_select3(u_defuse, n0, n0) = use) & (a_select3(u_defuse, n1, n0) = use) & (a_select3(u_defuse, n2, n0) = use) & (a_select2(xinit_defuse, n3) = use) & (a_select2(xinit_defuse, n4) = use) & (a_select2(xinit_defuse, n5) = use) & (a_select2(xinit_mean_defuse, n0) = use) & (a_select2(xinit_mean_defuse, n1) = use) & (a_select2(xinit_mean_defuse, n2) = use) & (a_select2(xinit_mean_defuse, n3) = use) & (a_select2(xinit_mean_defuse, n4) = use) & (a_select2(xinit_mean_defuse, n5) = use) & (a_select2(xinit_noise_defuse, n0) = use) & (a_select2(xinit_noise_defuse, n1) = use) & (a_select2(xinit_noise_defuse, n2) = use) & (a_select2(xinit_noise_defuse, n3) = use) & (a_select2(xinit_noise_defuse, n4) = use) & (a_select2(xinit_noise_defuse, n5) = use) & leq(n0, pv5) & leq(n0, pv51) & leq(pv5, minus(n999, n1)) & leq(pv51, minus(n6, n1)) & ![E: $i, F: $i] : ((~(leq(n0, E) & leq(n0, F) & leq(E, n2) & leq(F, minus(pv5, n1)))) | ((a_select3(u_defuse, E, F) = use) & (a_select3(z_defuse, E, F) = use))))))) <=> (~(((pv51 = pv52) | ((a_select2(rho_defuse, n0) = use) & (a_select2(rho_defuse, n1) = use) & (a_select2(rho_defuse, n2) = use) & (a_select2(sigma_defuse, n0) = use) & (a_select2(sigma_defuse, n1) = use) & (a_select2(sigma_defuse, n2) = use) & (a_select2(sigma_defuse, n3) = use) & (a_select2(sigma_defuse, n4) = use) & (a_select2(sigma_defuse, n5) = use) & (a_select3(u_defuse, n0, n0) = use) & (a_select3(u_defuse, n1, n0) = use) & (a_select3(u_defuse, n2, n0) = use) & (a_select2(xinit_defuse, n3) = use) & (a_select2(xinit_defuse, n4) = use) & (a_select2(xinit_defuse, n5) = use) & (a_select2(xinit_mean_defuse, n0) = use) & (a_select2(xinit_mean_defuse, n1) = use) & (a_select2(xinit_mean_defuse, n2) = use) & (a_select2(xinit_mean_defuse, n3) = use) & (a_select2(xinit_mean_defuse, n4) = use) & (a_select2(xinit_mean_defuse, n5) = use) & (a_select2(xinit_noise_defuse, n0) = use) & (a_select2(xinit_noise_defuse, n1) = use) & (a_select2(xinit_noise_defuse, n2) = use) & (a_select2(xinit_noise_defuse, n3) = use) & (a_select2(xinit_noise_defuse, n4) = use) & (a_select2(xinit_noise_defuse, n5) = use) & leq(n0, pv5) & leq(n0, pv51) & leq(pv5, minus(n999, n1)) & leq(pv51, minus(n6, n1)) & ![C: $i, D: $i] : ((~(leq(n0, C) & leq(n0, D) & leq(C, n2) & leq(D, minus(pv5, n1)))) | ((a_select3(u_defuse, C, D) = use) & (a_select3(z_defuse, C, D) = use))))) & ((~(pv51 = pv52)) | ((a_select2(rho_defuse, n0) = use) & (a_select2(rho_defuse, n1) = use) & (a_select2(rho_defuse, n2) = use) & (a_select2(sigma_defuse, n0) = use) & (a_select2(sigma_defuse, n1) = use) & (a_select2(sigma_defuse, n2) = use) & (a_select2(sigma_defuse, n3) = use) & (a_select2(sigma_defuse, n4) = use) & (a_select2(sigma_defuse, n5) = use) & (a_select3(u_defuse, n0, n0) = use) & (a_select3(u_defuse, n1, n0) = use) & (a_select3(u_defuse, n2, n0) = use) & (a_select2(xinit_defuse, n3) = use) & (a_select2(xinit_defuse, n4) = use) & (a_select2(xinit_defuse, n5) = use) & (a_select2(xinit_mean_defuse, n0) = use) & (a_select2(xinit_mean_defuse, n1) = use) & (a_select2(xinit_mean_defuse, n2) = use) & (a_select2(xinit_mean_defuse, n3) = use) & (a_select2(xinit_mean_defuse, n4) = use) & (a_select2(xinit_mean_defuse, n5) = use) & (a_select2(xinit_noise_defuse, n0) = use) & (a_select2(xinit_noise_defuse, n1) = use) & (a_select2(xinit_noise_defuse, n2) = use) & (a_select2(xinit_noise_defuse, n3) = use) & (a_select2(xinit_noise_defuse, n4) = use) & (a_select2(xinit_noise_defuse, n5) = use) & leq(n0, pv5) & leq(n0, pv51) & leq(pv5, minus(n999, n1)) & leq(pv51, minus(n6, n1)) & ![E: $i, F: $i] : ((~(leq(n0, E) & leq(n0, F) & leq(E, n2) & leq(F, minus(pv5, n1)))) | ((a_select3(u_defuse, E, F) = use) & (a_select3(z_defuse, E, F) = use)))))))),
% 0.20/0.58      inference(monotonicity,[status(thm)],[77])).
% 0.20/0.58  tff(79,plain,
% 0.20/0.58      (~(((pv51 = pv52) | ((a_select2(rho_defuse, n0) = use) & (a_select2(rho_defuse, n1) = use) & (a_select2(rho_defuse, n2) = use) & (a_select2(sigma_defuse, n0) = use) & (a_select2(sigma_defuse, n1) = use) & (a_select2(sigma_defuse, n2) = use) & (a_select2(sigma_defuse, n3) = use) & (a_select2(sigma_defuse, n4) = use) & (a_select2(sigma_defuse, n5) = use) & (a_select3(u_defuse, n0, n0) = use) & (a_select3(u_defuse, n1, n0) = use) & (a_select3(u_defuse, n2, n0) = use) & (a_select2(xinit_defuse, n3) = use) & (a_select2(xinit_defuse, n4) = use) & (a_select2(xinit_defuse, n5) = use) & (a_select2(xinit_mean_defuse, n0) = use) & (a_select2(xinit_mean_defuse, n1) = use) & (a_select2(xinit_mean_defuse, n2) = use) & (a_select2(xinit_mean_defuse, n3) = use) & (a_select2(xinit_mean_defuse, n4) = use) & (a_select2(xinit_mean_defuse, n5) = use) & (a_select2(xinit_noise_defuse, n0) = use) & (a_select2(xinit_noise_defuse, n1) = use) & (a_select2(xinit_noise_defuse, n2) = use) & (a_select2(xinit_noise_defuse, n3) = use) & (a_select2(xinit_noise_defuse, n4) = use) & (a_select2(xinit_noise_defuse, n5) = use) & leq(n0, pv5) & leq(n0, pv51) & leq(pv5, minus(n999, n1)) & leq(pv51, minus(n6, n1)) & ![C: $i, D: $i] : ((~(leq(n0, C) & leq(n0, D) & leq(C, n2) & leq(D, minus(pv5, n1)))) | ((a_select3(u_defuse, C, D) = use) & (a_select3(z_defuse, C, D) = use))))) & ((~(pv51 = pv52)) | ((a_select2(rho_defuse, n0) = use) & (a_select2(rho_defuse, n1) = use) & (a_select2(rho_defuse, n2) = use) & (a_select2(sigma_defuse, n0) = use) & (a_select2(sigma_defuse, n1) = use) & (a_select2(sigma_defuse, n2) = use) & (a_select2(sigma_defuse, n3) = use) & (a_select2(sigma_defuse, n4) = use) & (a_select2(sigma_defuse, n5) = use) & (a_select3(u_defuse, n0, n0) = use) & (a_select3(u_defuse, n1, n0) = use) & (a_select3(u_defuse, n2, n0) = use) & (a_select2(xinit_defuse, n3) = use) & (a_select2(xinit_defuse, n4) = use) & (a_select2(xinit_defuse, n5) = use) & (a_select2(xinit_mean_defuse, n0) = use) & (a_select2(xinit_mean_defuse, n1) = use) & (a_select2(xinit_mean_defuse, n2) = use) & (a_select2(xinit_mean_defuse, n3) = use) & (a_select2(xinit_mean_defuse, n4) = use) & (a_select2(xinit_mean_defuse, n5) = use) & (a_select2(xinit_noise_defuse, n0) = use) & (a_select2(xinit_noise_defuse, n1) = use) & (a_select2(xinit_noise_defuse, n2) = use) & (a_select2(xinit_noise_defuse, n3) = use) & (a_select2(xinit_noise_defuse, n4) = use) & (a_select2(xinit_noise_defuse, n5) = use) & leq(n0, pv5) & leq(n0, pv51) & leq(pv5, minus(n999, n1)) & leq(pv51, minus(n6, n1)) & ![E: $i, F: $i] : ((~(leq(n0, E) & leq(n0, F) & leq(E, n2) & leq(F, minus(pv5, n1)))) | ((a_select3(u_defuse, E, F) = use) & (a_select3(z_defuse, E, F) = use))))))),
% 0.20/0.59      inference(or_elim,[status(thm)],[25])).
% 0.20/0.59  tff(80,plain,
% 0.20/0.59      (~(((pv51 = pv52) | ((a_select2(rho_defuse, n0) = use) & (a_select2(rho_defuse, n1) = use) & (a_select2(rho_defuse, n2) = use) & (a_select2(sigma_defuse, n0) = use) & (a_select2(sigma_defuse, n1) = use) & (a_select2(sigma_defuse, n2) = use) & (a_select2(sigma_defuse, n3) = use) & (a_select2(sigma_defuse, n4) = use) & (a_select2(sigma_defuse, n5) = use) & (a_select3(u_defuse, n0, n0) = use) & (a_select3(u_defuse, n1, n0) = use) & (a_select3(u_defuse, n2, n0) = use) & (a_select2(xinit_defuse, n3) = use) & (a_select2(xinit_defuse, n4) = use) & (a_select2(xinit_defuse, n5) = use) & (a_select2(xinit_mean_defuse, n0) = use) & (a_select2(xinit_mean_defuse, n1) = use) & (a_select2(xinit_mean_defuse, n2) = use) & (a_select2(xinit_mean_defuse, n3) = use) & (a_select2(xinit_mean_defuse, n4) = use) & (a_select2(xinit_mean_defuse, n5) = use) & (a_select2(xinit_noise_defuse, n0) = use) & (a_select2(xinit_noise_defuse, n1) = use) & (a_select2(xinit_noise_defuse, n2) = use) & (a_select2(xinit_noise_defuse, n3) = use) & (a_select2(xinit_noise_defuse, n4) = use) & (a_select2(xinit_noise_defuse, n5) = use) & leq(n0, pv5) & leq(n0, pv51) & leq(pv5, minus(n999, n1)) & leq(pv51, minus(n6, n1)) & ![C: $i, D: $i] : ((~(leq(n0, C) & leq(n0, D) & leq(C, n2) & leq(D, minus(pv5, n1)))) | ((a_select3(u_defuse, C, D) = use) & (a_select3(z_defuse, C, D) = use))))) & ((~(pv51 = pv52)) | ((a_select2(rho_defuse, n0) = use) & (a_select2(rho_defuse, n1) = use) & (a_select2(rho_defuse, n2) = use) & (a_select2(sigma_defuse, n0) = use) & (a_select2(sigma_defuse, n1) = use) & (a_select2(sigma_defuse, n2) = use) & (a_select2(sigma_defuse, n3) = use) & (a_select2(sigma_defuse, n4) = use) & (a_select2(sigma_defuse, n5) = use) & (a_select3(u_defuse, n0, n0) = use) & (a_select3(u_defuse, n1, n0) = use) & (a_select3(u_defuse, n2, n0) = use) & (a_select2(xinit_defuse, n3) = use) & (a_select2(xinit_defuse, n4) = use) & (a_select2(xinit_defuse, n5) = use) & (a_select2(xinit_mean_defuse, n0) = use) & (a_select2(xinit_mean_defuse, n1) = use) & (a_select2(xinit_mean_defuse, n2) = use) & (a_select2(xinit_mean_defuse, n3) = use) & (a_select2(xinit_mean_defuse, n4) = use) & (a_select2(xinit_mean_defuse, n5) = use) & (a_select2(xinit_noise_defuse, n0) = use) & (a_select2(xinit_noise_defuse, n1) = use) & (a_select2(xinit_noise_defuse, n2) = use) & (a_select2(xinit_noise_defuse, n3) = use) & (a_select2(xinit_noise_defuse, n4) = use) & (a_select2(xinit_noise_defuse, n5) = use) & leq(n0, pv5) & leq(n0, pv51) & leq(pv5, minus(n999, n1)) & leq(pv51, minus(n6, n1)) & ![E: $i, F: $i] : ((~(leq(n0, E) & leq(n0, F) & leq(E, n2) & leq(F, minus(pv5, n1)))) | ((a_select3(u_defuse, E, F) = use) & (a_select3(z_defuse, E, F) = use))))))),
% 0.20/0.59      inference(modus_ponens,[status(thm)],[79, 78])).
% 0.20/0.59  tff(81,plain,
% 0.20/0.59      (~(((pv51 = pv52) | ![C: $i, D: $i] : ((~(leq(n0, C) & leq(n0, D) & leq(C, n2) & leq(D, minus(pv5, n1)))) | ((a_select3(u_defuse, C, D) = use) & (a_select3(z_defuse, C, D) = use)))) & ((~(pv51 = pv52)) | ![E: $i, F: $i] : ((~(leq(n0, E) & leq(n0, F) & leq(E, n2) & leq(F, minus(pv5, n1)))) | ((a_select3(u_defuse, E, F) = use) & (a_select3(z_defuse, E, F) = use)))))),
% 0.20/0.59      inference(modus_ponens,[status(thm)],[80, 72])).
% 0.20/0.59  tff(82,plain,
% 0.20/0.59      (~(((pv51 = pv52) | ![C: $i, D: $i] : ((~(leq(n0, C) & leq(n0, D) & leq(C, n2) & leq(D, minus(pv5, n1)))) | ((a_select3(u_defuse, C, D) = use) & (a_select3(z_defuse, C, D) = use)))) & ((~(pv51 = pv52)) | ![E: $i, F: $i] : ((~(leq(n0, E) & leq(n0, F) & leq(E, n2) & leq(F, minus(pv5, n1)))) | ((a_select3(u_defuse, E, F) = use) & (a_select3(z_defuse, E, F) = use)))))),
% 0.20/0.59      inference(modus_ponens,[status(thm)],[81, 71])).
% 0.20/0.59  tff(83,plain,
% 0.20/0.59      (~(((pv51 = pv52) | ![C: $i, D: $i] : ((~(leq(n0, C) & leq(n0, D) & leq(C, n2) & leq(D, minus(pv5, n1)))) | ((a_select3(u_defuse, C, D) = use) & (a_select3(z_defuse, C, D) = use)))) & ((~(pv51 = pv52)) | ![E: $i, F: $i] : ((~(leq(n0, E) & leq(n0, F) & leq(E, n2) & leq(F, minus(pv5, n1)))) | ((a_select3(u_defuse, E, F) = use) & (a_select3(z_defuse, E, F) = use)))))),
% 0.20/0.59      inference(modus_ponens,[status(thm)],[82, 70])).
% 0.20/0.59  tff(84,plain,
% 0.20/0.59      (~(((pv51 = pv52) | ![C: $i, D: $i] : ((~(leq(succ(tptp_minus_1), C) & leq(succ(tptp_minus_1), D) & leq(C, succ(succ(succ(tptp_minus_1)))) & leq(D, minus(pv5, succ(succ(tptp_minus_1)))))) | ((a_select3(u_defuse, C, D) = a_select2(rho_defuse, succ(tptp_minus_1))) & (a_select3(z_defuse, C, D) = a_select2(rho_defuse, succ(tptp_minus_1)))))) & ((~(pv51 = pv52)) | ![E: $i, F: $i] : ((~(leq(succ(tptp_minus_1), E) & leq(succ(tptp_minus_1), F) & leq(E, succ(succ(succ(tptp_minus_1)))) & leq(F, minus(pv5, succ(succ(tptp_minus_1)))))) | ((a_select3(u_defuse, E, F) = a_select2(rho_defuse, succ(tptp_minus_1))) & (a_select3(z_defuse, E, F) = a_select2(rho_defuse, succ(tptp_minus_1)))))))),
% 0.20/0.59      inference(modus_ponens,[status(thm)],[83, 66])).
% 0.20/0.59  tff(85,plain,
% 0.20/0.59      (~(((pv51 = pv52) | ![C: $i, D: $i] : ((~(leq(succ(tptp_minus_1), C) & leq(succ(tptp_minus_1), D) & leq(C, succ(succ(succ(tptp_minus_1)))) & leq(D, minus(pv5, succ(succ(tptp_minus_1)))))) | ((a_select3(u_defuse, C, D) = a_select2(rho_defuse, succ(tptp_minus_1))) & (a_select3(z_defuse, C, D) = a_select2(rho_defuse, succ(tptp_minus_1)))))) & ((~(pv51 = pv52)) | ![E: $i, F: $i] : ((~(leq(succ(tptp_minus_1), E) & leq(succ(tptp_minus_1), F) & leq(E, succ(succ(succ(tptp_minus_1)))) & leq(F, minus(pv5, succ(succ(tptp_minus_1)))))) | ((a_select3(u_defuse, E, F) = a_select2(rho_defuse, succ(tptp_minus_1))) & (a_select3(z_defuse, E, F) = a_select2(rho_defuse, succ(tptp_minus_1)))))))),
% 0.20/0.59      inference(modus_ponens,[status(thm)],[84, 65])).
% 0.20/0.59  tff(86,plain,
% 0.20/0.59      (~(((pv51 = pv52) | ![C: $i, D: $i] : ((~(leq(succ(tptp_minus_1), C) & leq(succ(tptp_minus_1), D) & leq(C, succ(succ(succ(tptp_minus_1)))) & leq(D, minus(pv5, succ(succ(tptp_minus_1)))))) | ((a_select3(u_defuse, C, D) = a_select2(sigma_defuse, succ(tptp_minus_1))) & (a_select3(z_defuse, C, D) = a_select2(sigma_defuse, succ(tptp_minus_1)))))) & ((~(pv51 = pv52)) | ![E: $i, F: $i] : ((~(leq(succ(tptp_minus_1), E) & leq(succ(tptp_minus_1), F) & leq(E, succ(succ(succ(tptp_minus_1)))) & leq(F, minus(pv5, succ(succ(tptp_minus_1)))))) | ((a_select3(u_defuse, E, F) = a_select2(sigma_defuse, succ(tptp_minus_1))) & (a_select3(z_defuse, E, F) = a_select2(sigma_defuse, succ(tptp_minus_1)))))))),
% 0.20/0.59      inference(modus_ponens,[status(thm)],[85, 61])).
% 0.20/0.59  tff(87,plain,
% 0.20/0.59      (~(((pv51 = pv52) | ![C: $i, D: $i] : ((~(leq(succ(tptp_minus_1), C) & leq(succ(tptp_minus_1), D) & leq(C, succ(succ(succ(tptp_minus_1)))) & leq(D, minus(pv5, succ(succ(tptp_minus_1)))))) | ((a_select3(u_defuse, C, D) = a_select2(sigma_defuse, succ(tptp_minus_1))) & (a_select3(z_defuse, C, D) = a_select2(sigma_defuse, succ(tptp_minus_1)))))) & ((~(pv51 = pv52)) | ![E: $i, F: $i] : ((~(leq(succ(tptp_minus_1), E) & leq(succ(tptp_minus_1), F) & leq(E, succ(succ(succ(tptp_minus_1)))) & leq(F, minus(pv5, succ(succ(tptp_minus_1)))))) | ((a_select3(u_defuse, E, F) = a_select2(sigma_defuse, succ(tptp_minus_1))) & (a_select3(z_defuse, E, F) = a_select2(sigma_defuse, succ(tptp_minus_1)))))))),
% 0.20/0.59      inference(modus_ponens,[status(thm)],[86, 60])).
% 0.20/0.59  tff(88,plain,
% 0.51/0.60      (~(((pv51 = pv52) | ![C: $i, D: $i] : ((~(leq(succ(tptp_minus_1), C) & leq(succ(tptp_minus_1), D) & leq(C, succ(succ(succ(tptp_minus_1)))) & leq(D, minus(pv5, succ(succ(tptp_minus_1)))))) | ((a_select3(u_defuse, C, D) = a_select3(u_defuse, succ(tptp_minus_1), succ(tptp_minus_1))) & (a_select3(z_defuse, C, D) = a_select3(u_defuse, succ(tptp_minus_1), succ(tptp_minus_1)))))) & ((~(pv51 = pv52)) | ![E: $i, F: $i] : ((~(leq(succ(tptp_minus_1), E) & leq(succ(tptp_minus_1), F) & leq(E, succ(succ(succ(tptp_minus_1)))) & leq(F, minus(pv5, succ(succ(tptp_minus_1)))))) | ((a_select3(u_defuse, E, F) = a_select3(u_defuse, succ(tptp_minus_1), succ(tptp_minus_1))) & (a_select3(z_defuse, E, F) = a_select3(u_defuse, succ(tptp_minus_1), succ(tptp_minus_1)))))))),
% 0.51/0.60      inference(modus_ponens,[status(thm)],[87, 56])).
% 0.51/0.60  tff(89,plain,
% 0.51/0.60      (~(((pv51 = pv52) | ![C: $i, D: $i] : ((~(leq(succ(tptp_minus_1), C) & leq(succ(tptp_minus_1), D) & leq(C, succ(succ(succ(tptp_minus_1)))) & leq(D, minus(pv5, succ(succ(tptp_minus_1)))))) | ((a_select3(u_defuse, C, D) = a_select3(u_defuse, succ(tptp_minus_1), succ(tptp_minus_1))) & (a_select3(z_defuse, C, D) = a_select3(u_defuse, succ(tptp_minus_1), succ(tptp_minus_1)))))) & ((~(pv51 = pv52)) | ![E: $i, F: $i] : ((~(leq(succ(tptp_minus_1), E) & leq(succ(tptp_minus_1), F) & leq(E, succ(succ(succ(tptp_minus_1)))) & leq(F, minus(pv5, succ(succ(tptp_minus_1)))))) | ((a_select3(u_defuse, E, F) = a_select3(u_defuse, succ(tptp_minus_1), succ(tptp_minus_1))) & (a_select3(z_defuse, E, F) = a_select3(u_defuse, succ(tptp_minus_1), succ(tptp_minus_1)))))))),
% 0.51/0.60      inference(modus_ponens,[status(thm)],[88, 55])).
% 0.51/0.60  tff(90,plain,
% 0.51/0.60      (~(((pv51 = pv52) | ![C: $i, D: $i] : ((~(leq(succ(tptp_minus_1), C) & leq(succ(tptp_minus_1), D) & leq(C, succ(succ(succ(tptp_minus_1)))) & leq(D, minus(pv5, succ(succ(tptp_minus_1)))))) | ((a_select3(u_defuse, C, D) = a_select3(u_defuse, succ(tptp_minus_1), succ(tptp_minus_1))) & (a_select3(z_defuse, C, D) = a_select3(u_defuse, succ(tptp_minus_1), succ(tptp_minus_1)))))) & ((~(pv51 = pv52)) | ![E: $i, F: $i] : ((~(leq(succ(tptp_minus_1), E) & leq(succ(tptp_minus_1), F) & leq(E, succ(succ(succ(tptp_minus_1)))) & leq(F, minus(pv5, succ(succ(tptp_minus_1)))))) | ((a_select3(u_defuse, E, F) = a_select3(u_defuse, succ(tptp_minus_1), succ(tptp_minus_1))) & (a_select3(z_defuse, E, F) = a_select3(u_defuse, succ(tptp_minus_1), succ(tptp_minus_1)))))))),
% 0.51/0.60      inference(modus_ponens,[status(thm)],[89, 55])).
% 0.51/0.60  tff(91,plain,
% 0.51/0.60      (~(((pv51 = pv52) | ![C: $i, D: $i] : ((~(leq(succ(tptp_minus_1), C) & leq(succ(tptp_minus_1), D) & leq(C, succ(succ(succ(tptp_minus_1)))) & leq(D, minus(pv5, succ(succ(tptp_minus_1)))))) | ((a_select3(u_defuse, C, D) = a_select3(u_defuse, succ(tptp_minus_1), succ(tptp_minus_1))) & (a_select3(z_defuse, C, D) = a_select3(u_defuse, succ(tptp_minus_1), succ(tptp_minus_1)))))) & ((~(pv51 = pv52)) | ![E: $i, F: $i] : ((~(leq(succ(tptp_minus_1), E) & leq(succ(tptp_minus_1), F) & leq(E, succ(succ(succ(tptp_minus_1)))) & leq(F, minus(pv5, succ(succ(tptp_minus_1)))))) | ((a_select3(u_defuse, E, F) = a_select3(u_defuse, succ(tptp_minus_1), succ(tptp_minus_1))) & (a_select3(z_defuse, E, F) = a_select3(u_defuse, succ(tptp_minus_1), succ(tptp_minus_1)))))))),
% 0.51/0.60      inference(modus_ponens,[status(thm)],[90, 55])).
% 0.51/0.60  unexpected number of arguments: (let ((a!1 (refl (~ (not (= pv51 pv52)) (not (= pv51 pv52)))))
% 0.51/0.60        (a!2 (forall ((C $i) (D $i))
% 0.51/0.60               (let ((a!1 (leq C (succ (succ (succ tptp_minus_1)))))
% 0.51/0.60                     (a!2 (leq D (minus pv5 (succ (succ tptp_minus_1)))))
% 0.51/0.60                     (a!4 (and (= (a_select3 u_defuse C D)
% 0.51/0.60                                  (a_select3 u_defuse
% 0.51/0.60                                             (succ tptp_minus_1)
% 0.51/0.60                                             (succ tptp_minus_1)))
% 0.51/0.60                               (= (a_select3 z_defuse C D)
% 0.51/0.60                                  (a_select3 u_defuse
% 0.51/0.60                                             (succ tptp_minus_1)
% 0.51/0.60                                             (succ tptp_minus_1))))))
% 0.51/0.60               (let ((a!3 (not (and (leq (succ tptp_minus_1) C)
% 0.51/0.61                                    (leq (succ tptp_minus_1) D)
% 0.51/0.61                                    a!1
% 0.51/0.61                                    a!2))))
% 0.51/0.61                 (or a!3 a!4)))))
% 0.51/0.61        (a!3 (leq C!14 (succ (succ (succ tptp_minus_1)))))
% 0.51/0.61        (a!4 (leq D!13 (minus pv5 (succ (succ tptp_minus_1)))))
% 0.51/0.61        (a!6 (and (= (a_select3 u_defuse C!14 D!13)
% 0.51/0.61                     (a_select3 u_defuse (succ tptp_minus_1) (succ tptp_minus_1)))
% 0.51/0.61                  (= (a_select3 z_defuse C!14 D!13)
% 0.51/0.61                     (a_select3 u_defuse (succ tptp_minus_1) (succ tptp_minus_1)))))
% 0.51/0.61        (a!9 (~ (not (not (= pv51 pv52))) (not (not (= pv51 pv52)))))
% 0.51/0.61        (a!10 (forall ((E $i) (F $i))
% 0.51/0.61                (let ((a!1 (leq E (succ (succ (succ tptp_minus_1)))))
% 0.51/0.61                      (a!2 (leq F (minus pv5 (succ (succ tptp_minus_1)))))
% 0.51/0.61                      (a!4 (and (= (a_select3 u_defuse E F)
% 0.51/0.61                                   (a_select3 u_defuse
% 0.51/0.61                                              (succ tptp_minus_1)
% 0.51/0.61                                              (succ tptp_minus_1)))
% 0.51/0.61                                (= (a_select3 z_defuse E F)
% 0.51/0.61                                   (a_select3 u_defuse
% 0.51/0.61                                              (succ tptp_minus_1)
% 0.51/0.61                                              (succ tptp_minus_1))))))
% 0.51/0.61                (let ((a!3 (not (and (leq (succ tptp_minus_1) E)
% 0.51/0.61                                     (leq (succ tptp_minus_1) F)
% 0.51/0.61                                     a!1
% 0.51/0.61                                     a!2))))
% 0.51/0.61                  (or a!3 a!4)))))
% 0.51/0.61        (a!11 (leq E!16 (succ (succ (succ tptp_minus_1)))))
% 0.51/0.61        (a!12 (leq F!15 (minus pv5 (succ (succ tptp_minus_1)))))
% 0.51/0.61        (a!14 (and (= (a_select3 u_defuse E!16 F!15)
% 0.51/0.61                      (a_select3 u_defuse (succ tptp_minus_1) (succ tptp_minus_1)))
% 0.51/0.61                   (= (a_select3 z_defuse E!16 F!15)
% 0.51/0.61                      (a_select3 u_defuse (succ tptp_minus_1) (succ tptp_minus_1))))))
% 0.51/0.61  (let ((a!5 (not (and (leq (succ tptp_minus_1) C!14)
% 0.51/0.61                       (leq (succ tptp_minus_1) D!13)
% 0.51/0.61                       a!3
% 0.51/0.61                       a!4)))
% 0.51/0.61        (a!13 (not (and (leq (succ tptp_minus_1) E!16)
% 0.51/0.61                        (leq (succ tptp_minus_1) F!15)
% 0.51/0.61                        a!11
% 0.51/0.61                        a!12)))
% 0.51/0.61        (a!16 (not (or (not (= pv51 pv52)) a!10)))
% 0.51/0.61        (a!18 (and (or (= pv51 pv52) a!2) (or (not (= pv51 pv52)) a!10))))
% 0.51/0.61  (let ((a!7 (sk (~ (not a!2) (not (or a!5 a!6)))))
% 0.51/0.61        (a!8 (~ (not (or (= pv51 pv52) a!2))
% 0.51/0.61                (and (not (= pv51 pv52)) (not (or a!5 a!6)))))
% 0.51/0.61        (a!15 (sk (~ (not a!10) (not (or a!13 a!14)))))
% 0.51/0.61        (a!17 (and (not (not (= pv51 pv52))) (not (or a!13 a!14)))))
% 0.51/0.61  (let ((a!19 (or (and (not (= pv51 pv52)) (not (or a!5 a!6))) a!17)))
% 0.51/0.61    (nnf-neg (nnf-neg a!1 a!7 a!8)
% 0.51/0.61             (nnf-neg (refl a!9) a!15 (~ a!16 a!17))
% 0.51/0.61             (~ (not a!18) a!19))))))
% 0.51/0.61  Proof display could not be completed: unexpected number of arguments
%------------------------------------------------------------------------------