%------------------------------------------------------------------------------
% File : Z3---4.15.1
% Problem : SWV095+1 : TPTP v9.0.0. Bugfixed v3.3.0.
% Transfm : none
% Format : tptp
% Command : run_E %s %d THM
% Computer : n001.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Sat Jun 21 05:31:30 AM UTC 2025
% Result : Theorem 119.92s 120.19s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12 % Problem : SWV095+1 : TPTP v9.0.0. Bugfixed v3.3.0.
% 0.04/0.12 % Command : run_E %s %d THM
% 0.12/0.33 % Computer : n001.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Fri Jun 20 09:32:35 EDT 2025
% 0.12/0.34 % CPUTime :
% 119.92/120.19 % SZS status Theorem
% 119.92/120.19 % SZS output start Proof
% 119.92/120.19 tff(use_type, type, (
% 119.92/120.19 use: $i)).
% 119.92/120.19 tff(a_select3_type, type, (
% 119.92/120.19 a_select3: ( $i * $i * $i ) > $i)).
% 119.92/120.19 tff(tptp_fun_D_13_type, type, (
% 119.92/120.19 tptp_fun_D_13: $i)).
% 119.92/120.19 tff(tptp_fun_C_14_type, type, (
% 119.92/120.19 tptp_fun_C_14: $i)).
% 119.92/120.19 tff(z_defuse_type, type, (
% 119.92/120.19 z_defuse: $i)).
% 119.92/120.19 tff(u_defuse_type, type, (
% 119.92/120.19 u_defuse: $i)).
% 119.92/120.19 tff(leq_type, type, (
% 119.92/120.19 leq: ( $i * $i ) > $o)).
% 119.92/120.19 tff(minus_type, type, (
% 119.92/120.19 minus: ( $i * $i ) > $i)).
% 119.92/120.19 tff(n1_type, type, (
% 119.92/120.19 n1: $i)).
% 119.92/120.19 tff(pv5_type, type, (
% 119.92/120.19 pv5: $i)).
% 119.92/120.19 tff(n2_type, type, (
% 119.92/120.19 n2: $i)).
% 119.92/120.19 tff(n0_type, type, (
% 119.92/120.19 n0: $i)).
% 119.92/120.19 tff(n6_type, type, (
% 119.92/120.19 n6: $i)).
% 119.92/120.19 tff(pv51_type, type, (
% 119.92/120.19 pv51: $i)).
% 119.92/120.19 tff(n999_type, type, (
% 119.92/120.19 n999: $i)).
% 119.92/120.19 tff(a_select2_type, type, (
% 119.92/120.19 a_select2: ( $i * $i ) > $i)).
% 119.92/120.19 tff(n5_type, type, (
% 119.92/120.19 n5: $i)).
% 119.92/120.19 tff(xinit_noise_defuse_type, type, (
% 119.92/120.19 xinit_noise_defuse: $i)).
% 119.92/120.19 tff(n4_type, type, (
% 119.92/120.19 n4: $i)).
% 119.92/120.19 tff(n3_type, type, (
% 119.92/120.19 n3: $i)).
% 119.92/120.19 tff(xinit_mean_defuse_type, type, (
% 119.92/120.19 xinit_mean_defuse: $i)).
% 119.92/120.19 tff(xinit_defuse_type, type, (
% 119.92/120.19 xinit_defuse: $i)).
% 119.92/120.19 tff(sigma_defuse_type, type, (
% 119.92/120.19 sigma_defuse: $i)).
% 119.92/120.19 tff(rho_defuse_type, type, (
% 119.92/120.19 rho_defuse: $i)).
% 119.92/120.19 tff(1,plain,
% 119.92/120.19 (leq(pv51, minus(n6, n1)) <=> leq(pv51, minus(n6, n1))),
% 119.92/120.19 inference(rewrite,[status(thm)],[])).
% 119.92/120.19 tff(2,plain,
% 119.92/120.19 ((~(((((((((((((((((((((((((((((((((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))) & ![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_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)) & ![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_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))))))),
% 119.92/120.19 inference(rewrite,[status(thm)],[])).
% 119.92/120.19 tff(3,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(pv5, minus(n999, n1))) & leq(pv51, 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)))) => ((((((((((((((((((((((((((((((((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)))))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','quaternion_ds1_inuse_0007')).
% 119.92/120.19 tff(4,plain,
% 119.92/120.19 (~((~((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)) & ![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_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)))))),
% 119.92/120.20 inference(modus_ponens,[status(thm)],[3, 2])).
% 119.92/120.20 tff(5,plain,
% 119.92/120.20 ((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)) & ![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)))),
% 119.92/120.20 inference(or_elim,[status(thm)],[4])).
% 119.92/120.20 tff(6,plain,
% 119.92/120.20 (leq(pv51, minus(n6, n1))),
% 119.92/120.20 inference(and_elim,[status(thm)],[5])).
% 119.92/120.20 tff(7,plain,
% 119.92/120.20 (leq(pv51, minus(n6, n1))),
% 119.92/120.20 inference(modus_ponens,[status(thm)],[6, 1])).
% 119.92/120.20 tff(8,plain,
% 119.92/120.20 (leq(pv5, minus(n999, n1)) <=> leq(pv5, minus(n999, n1))),
% 119.92/120.20 inference(rewrite,[status(thm)],[])).
% 119.92/120.20 tff(9,plain,
% 119.92/120.20 (leq(pv5, minus(n999, n1))),
% 119.92/120.20 inference(and_elim,[status(thm)],[5])).
% 119.92/120.20 tff(10,plain,
% 119.92/120.20 (leq(pv5, minus(n999, n1))),
% 119.92/120.20 inference(modus_ponens,[status(thm)],[9, 8])).
% 119.92/120.20 tff(11,plain,
% 119.92/120.20 (leq(n0, pv51) <=> leq(n0, pv51)),
% 119.92/120.20 inference(rewrite,[status(thm)],[])).
% 119.92/120.20 tff(12,plain,
% 119.92/120.20 (leq(n0, pv51)),
% 119.92/120.20 inference(and_elim,[status(thm)],[5])).
% 119.92/120.20 tff(13,plain,
% 119.92/120.20 (leq(n0, pv51)),
% 119.92/120.20 inference(modus_ponens,[status(thm)],[12, 11])).
% 119.92/120.20 tff(14,plain,
% 119.92/120.20 (leq(n0, pv5) <=> leq(n0, pv5)),
% 119.92/120.20 inference(rewrite,[status(thm)],[])).
% 119.92/120.20 tff(15,plain,
% 119.92/120.20 (leq(n0, pv5)),
% 119.92/120.20 inference(and_elim,[status(thm)],[5])).
% 119.92/120.20 tff(16,plain,
% 119.92/120.20 (leq(n0, pv5)),
% 119.92/120.20 inference(modus_ponens,[status(thm)],[15, 14])).
% 119.92/120.20 tff(17,plain,
% 119.92/120.20 ((a_select2(xinit_noise_defuse, n5) = use) <=> (a_select2(xinit_noise_defuse, n5) = use)),
% 119.92/120.20 inference(rewrite,[status(thm)],[])).
% 119.92/120.20 tff(18,plain,
% 119.92/120.20 (a_select2(xinit_noise_defuse, n5) = use),
% 119.92/120.20 inference(and_elim,[status(thm)],[5])).
% 119.92/120.20 tff(19,plain,
% 119.92/120.20 (a_select2(xinit_noise_defuse, n5) = use),
% 119.92/120.20 inference(modus_ponens,[status(thm)],[18, 17])).
% 119.92/120.20 tff(20,plain,
% 119.92/120.20 ((a_select2(xinit_noise_defuse, n4) = use) <=> (a_select2(xinit_noise_defuse, n4) = use)),
% 119.92/120.20 inference(rewrite,[status(thm)],[])).
% 119.92/120.20 tff(21,plain,
% 119.92/120.20 (a_select2(xinit_noise_defuse, n4) = use),
% 119.92/120.20 inference(and_elim,[status(thm)],[5])).
% 119.92/120.20 tff(22,plain,
% 119.92/120.20 (a_select2(xinit_noise_defuse, n4) = use),
% 119.92/120.20 inference(modus_ponens,[status(thm)],[21, 20])).
% 119.92/120.20 tff(23,plain,
% 119.92/120.20 ((a_select2(xinit_noise_defuse, n3) = use) <=> (a_select2(xinit_noise_defuse, n3) = use)),
% 119.92/120.20 inference(rewrite,[status(thm)],[])).
% 119.92/120.20 tff(24,plain,
% 119.92/120.20 (a_select2(xinit_noise_defuse, n3) = use),
% 119.92/120.20 inference(and_elim,[status(thm)],[5])).
% 119.92/120.20 tff(25,plain,
% 119.92/120.20 (a_select2(xinit_noise_defuse, n3) = use),
% 119.92/120.20 inference(modus_ponens,[status(thm)],[24, 23])).
% 119.92/120.20 tff(26,plain,
% 119.92/120.20 ((a_select2(xinit_noise_defuse, n2) = use) <=> (a_select2(xinit_noise_defuse, n2) = use)),
% 119.92/120.20 inference(rewrite,[status(thm)],[])).
% 119.92/120.20 tff(27,plain,
% 119.92/120.20 (a_select2(xinit_noise_defuse, n2) = use),
% 119.92/120.20 inference(and_elim,[status(thm)],[5])).
% 119.92/120.20 tff(28,plain,
% 119.92/120.20 (a_select2(xinit_noise_defuse, n2) = use),
% 119.92/120.20 inference(modus_ponens,[status(thm)],[27, 26])).
% 119.92/120.20 tff(29,plain,
% 119.92/120.20 ((a_select2(xinit_noise_defuse, n1) = use) <=> (a_select2(xinit_noise_defuse, n1) = use)),
% 119.92/120.20 inference(rewrite,[status(thm)],[])).
% 119.92/120.20 tff(30,plain,
% 119.92/120.20 (a_select2(xinit_noise_defuse, n1) = use),
% 119.92/120.20 inference(and_elim,[status(thm)],[5])).
% 119.92/120.20 tff(31,plain,
% 119.92/120.20 (a_select2(xinit_noise_defuse, n1) = use),
% 119.92/120.20 inference(modus_ponens,[status(thm)],[30, 29])).
% 119.92/120.20 tff(32,plain,
% 119.92/120.20 ((a_select2(xinit_noise_defuse, n0) = use) <=> (a_select2(xinit_noise_defuse, n0) = use)),
% 119.92/120.20 inference(rewrite,[status(thm)],[])).
% 119.92/120.20 tff(33,plain,
% 119.92/120.20 (a_select2(xinit_noise_defuse, n0) = use),
% 119.92/120.20 inference(and_elim,[status(thm)],[5])).
% 119.92/120.20 tff(34,plain,
% 119.92/120.20 (a_select2(xinit_noise_defuse, n0) = use),
% 119.92/120.20 inference(modus_ponens,[status(thm)],[33, 32])).
% 119.92/120.20 tff(35,plain,
% 119.92/120.20 ((a_select2(xinit_mean_defuse, n5) = use) <=> (a_select2(xinit_mean_defuse, n5) = use)),
% 119.92/120.20 inference(rewrite,[status(thm)],[])).
% 119.92/120.20 tff(36,plain,
% 119.92/120.20 (a_select2(xinit_mean_defuse, n5) = use),
% 119.92/120.20 inference(and_elim,[status(thm)],[5])).
% 119.92/120.20 tff(37,plain,
% 119.92/120.20 (a_select2(xinit_mean_defuse, n5) = use),
% 119.92/120.20 inference(modus_ponens,[status(thm)],[36, 35])).
% 119.92/120.20 tff(38,plain,
% 119.92/120.20 ((a_select2(xinit_mean_defuse, n4) = use) <=> (a_select2(xinit_mean_defuse, n4) = use)),
% 119.92/120.20 inference(rewrite,[status(thm)],[])).
% 119.92/120.20 tff(39,plain,
% 119.92/120.20 (a_select2(xinit_mean_defuse, n4) = use),
% 119.92/120.20 inference(and_elim,[status(thm)],[5])).
% 119.92/120.20 tff(40,plain,
% 119.92/120.20 (a_select2(xinit_mean_defuse, n4) = use),
% 119.92/120.20 inference(modus_ponens,[status(thm)],[39, 38])).
% 119.92/120.20 tff(41,plain,
% 119.92/120.20 ((a_select2(xinit_mean_defuse, n3) = use) <=> (a_select2(xinit_mean_defuse, n3) = use)),
% 119.92/120.20 inference(rewrite,[status(thm)],[])).
% 119.92/120.20 tff(42,plain,
% 119.92/120.20 (a_select2(xinit_mean_defuse, n3) = use),
% 119.92/120.20 inference(and_elim,[status(thm)],[5])).
% 119.92/120.20 tff(43,plain,
% 119.92/120.20 (a_select2(xinit_mean_defuse, n3) = use),
% 119.92/120.20 inference(modus_ponens,[status(thm)],[42, 41])).
% 119.92/120.20 tff(44,plain,
% 119.92/120.20 ((a_select2(xinit_mean_defuse, n2) = use) <=> (a_select2(xinit_mean_defuse, n2) = use)),
% 119.92/120.20 inference(rewrite,[status(thm)],[])).
% 119.92/120.20 tff(45,plain,
% 119.92/120.20 (a_select2(xinit_mean_defuse, n2) = use),
% 119.92/120.20 inference(and_elim,[status(thm)],[5])).
% 119.92/120.20 tff(46,plain,
% 119.92/120.20 (a_select2(xinit_mean_defuse, n2) = use),
% 119.92/120.20 inference(modus_ponens,[status(thm)],[45, 44])).
% 119.92/120.20 tff(47,plain,
% 119.92/120.20 ((a_select2(xinit_mean_defuse, n1) = use) <=> (a_select2(xinit_mean_defuse, n1) = use)),
% 119.92/120.20 inference(rewrite,[status(thm)],[])).
% 119.92/120.20 tff(48,plain,
% 119.92/120.20 (a_select2(xinit_mean_defuse, n1) = use),
% 119.92/120.20 inference(and_elim,[status(thm)],[5])).
% 119.92/120.20 tff(49,plain,
% 119.92/120.20 (a_select2(xinit_mean_defuse, n1) = use),
% 119.92/120.20 inference(modus_ponens,[status(thm)],[48, 47])).
% 119.92/120.20 tff(50,plain,
% 119.92/120.20 ((a_select2(xinit_mean_defuse, n0) = use) <=> (a_select2(xinit_mean_defuse, n0) = use)),
% 119.92/120.20 inference(rewrite,[status(thm)],[])).
% 119.92/120.20 tff(51,plain,
% 119.92/120.20 (a_select2(xinit_mean_defuse, n0) = use),
% 119.92/120.20 inference(and_elim,[status(thm)],[5])).
% 119.92/120.20 tff(52,plain,
% 119.92/120.20 (a_select2(xinit_mean_defuse, n0) = use),
% 119.92/120.20 inference(modus_ponens,[status(thm)],[51, 50])).
% 119.92/120.20 tff(53,plain,
% 119.92/120.20 ((a_select2(xinit_defuse, n5) = use) <=> (a_select2(xinit_defuse, n5) = use)),
% 119.92/120.20 inference(rewrite,[status(thm)],[])).
% 119.92/120.20 tff(54,plain,
% 119.92/120.20 (a_select2(xinit_defuse, n5) = use),
% 119.92/120.20 inference(and_elim,[status(thm)],[5])).
% 119.92/120.20 tff(55,plain,
% 119.92/120.20 (a_select2(xinit_defuse, n5) = use),
% 119.92/120.20 inference(modus_ponens,[status(thm)],[54, 53])).
% 119.92/120.20 tff(56,plain,
% 119.92/120.20 ((a_select2(xinit_defuse, n4) = use) <=> (a_select2(xinit_defuse, n4) = use)),
% 119.92/120.20 inference(rewrite,[status(thm)],[])).
% 119.92/120.20 tff(57,plain,
% 119.92/120.20 (a_select2(xinit_defuse, n4) = use),
% 119.92/120.20 inference(and_elim,[status(thm)],[5])).
% 119.92/120.20 tff(58,plain,
% 119.92/120.20 (a_select2(xinit_defuse, n4) = use),
% 119.92/120.20 inference(modus_ponens,[status(thm)],[57, 56])).
% 119.92/120.20 tff(59,plain,
% 119.92/120.20 ((a_select2(xinit_defuse, n3) = use) <=> (a_select2(xinit_defuse, n3) = use)),
% 119.92/120.20 inference(rewrite,[status(thm)],[])).
% 119.92/120.20 tff(60,plain,
% 119.92/120.20 (a_select2(xinit_defuse, n3) = use),
% 119.92/120.20 inference(and_elim,[status(thm)],[5])).
% 119.92/120.20 tff(61,plain,
% 119.92/120.20 (a_select2(xinit_defuse, n3) = use),
% 119.92/120.20 inference(modus_ponens,[status(thm)],[60, 59])).
% 119.92/120.20 tff(62,plain,
% 119.92/120.20 ((a_select3(u_defuse, n2, n0) = use) <=> (a_select3(u_defuse, n2, n0) = use)),
% 119.92/120.20 inference(rewrite,[status(thm)],[])).
% 119.92/120.20 tff(63,plain,
% 119.92/120.20 (a_select3(u_defuse, n2, n0) = use),
% 119.92/120.20 inference(and_elim,[status(thm)],[5])).
% 119.92/120.20 tff(64,plain,
% 119.92/120.20 (a_select3(u_defuse, n2, n0) = use),
% 119.92/120.20 inference(modus_ponens,[status(thm)],[63, 62])).
% 119.92/120.20 tff(65,plain,
% 119.92/120.20 ((a_select3(u_defuse, n1, n0) = use) <=> (a_select3(u_defuse, n1, n0) = use)),
% 119.92/120.20 inference(rewrite,[status(thm)],[])).
% 119.92/120.20 tff(66,plain,
% 119.92/120.20 (a_select3(u_defuse, n1, n0) = use),
% 119.92/120.20 inference(and_elim,[status(thm)],[5])).
% 119.92/120.20 tff(67,plain,
% 119.92/120.20 (a_select3(u_defuse, n1, n0) = use),
% 119.92/120.20 inference(modus_ponens,[status(thm)],[66, 65])).
% 119.92/120.20 tff(68,plain,
% 119.92/120.20 ((a_select3(u_defuse, n0, n0) = use) <=> (a_select3(u_defuse, n0, n0) = use)),
% 119.92/120.20 inference(rewrite,[status(thm)],[])).
% 119.92/120.20 tff(69,plain,
% 119.92/120.20 (a_select3(u_defuse, n0, n0) = use),
% 119.92/120.20 inference(and_elim,[status(thm)],[5])).
% 119.92/120.20 tff(70,plain,
% 119.92/120.20 (a_select3(u_defuse, n0, n0) = use),
% 119.92/120.20 inference(modus_ponens,[status(thm)],[69, 68])).
% 119.92/120.20 tff(71,plain,
% 119.92/120.20 ((a_select2(sigma_defuse, n5) = use) <=> (a_select2(sigma_defuse, n5) = use)),
% 119.92/120.20 inference(rewrite,[status(thm)],[])).
% 119.92/120.20 tff(72,plain,
% 119.92/120.20 (a_select2(sigma_defuse, n5) = use),
% 119.92/120.20 inference(and_elim,[status(thm)],[5])).
% 119.92/120.20 tff(73,plain,
% 119.92/120.20 (a_select2(sigma_defuse, n5) = use),
% 119.92/120.20 inference(modus_ponens,[status(thm)],[72, 71])).
% 119.92/120.20 tff(74,plain,
% 119.92/120.20 ((a_select2(sigma_defuse, n4) = use) <=> (a_select2(sigma_defuse, n4) = use)),
% 119.92/120.20 inference(rewrite,[status(thm)],[])).
% 119.92/120.20 tff(75,plain,
% 119.92/120.20 (a_select2(sigma_defuse, n4) = use),
% 119.92/120.20 inference(and_elim,[status(thm)],[5])).
% 119.92/120.20 tff(76,plain,
% 119.92/120.20 (a_select2(sigma_defuse, n4) = use),
% 119.92/120.20 inference(modus_ponens,[status(thm)],[75, 74])).
% 119.92/120.20 tff(77,plain,
% 119.92/120.20 ((a_select2(sigma_defuse, n3) = use) <=> (a_select2(sigma_defuse, n3) = use)),
% 119.92/120.20 inference(rewrite,[status(thm)],[])).
% 119.92/120.20 tff(78,plain,
% 119.92/120.20 (a_select2(sigma_defuse, n3) = use),
% 119.92/120.20 inference(and_elim,[status(thm)],[5])).
% 119.92/120.20 tff(79,plain,
% 119.92/120.20 (a_select2(sigma_defuse, n3) = use),
% 119.92/120.20 inference(modus_ponens,[status(thm)],[78, 77])).
% 119.92/120.20 tff(80,plain,
% 119.92/120.20 ((a_select2(sigma_defuse, n2) = use) <=> (a_select2(sigma_defuse, n2) = use)),
% 119.92/120.20 inference(rewrite,[status(thm)],[])).
% 119.92/120.20 tff(81,plain,
% 119.92/120.20 (a_select2(sigma_defuse, n2) = use),
% 119.92/120.20 inference(and_elim,[status(thm)],[5])).
% 119.92/120.20 tff(82,plain,
% 119.92/120.20 (a_select2(sigma_defuse, n2) = use),
% 119.92/120.20 inference(modus_ponens,[status(thm)],[81, 80])).
% 119.92/120.20 tff(83,plain,
% 119.92/120.20 ((a_select2(sigma_defuse, n1) = use) <=> (a_select2(sigma_defuse, n1) = use)),
% 119.92/120.20 inference(rewrite,[status(thm)],[])).
% 119.92/120.20 tff(84,plain,
% 119.92/120.20 (a_select2(sigma_defuse, n1) = use),
% 119.92/120.20 inference(and_elim,[status(thm)],[5])).
% 119.92/120.20 tff(85,plain,
% 119.92/120.20 (a_select2(sigma_defuse, n1) = use),
% 119.92/120.20 inference(modus_ponens,[status(thm)],[84, 83])).
% 119.92/120.20 tff(86,plain,
% 119.92/120.20 ((a_select2(sigma_defuse, n0) = use) <=> (a_select2(sigma_defuse, n0) = use)),
% 119.92/120.20 inference(rewrite,[status(thm)],[])).
% 119.92/120.20 tff(87,plain,
% 119.92/120.20 (a_select2(sigma_defuse, n0) = use),
% 119.92/120.20 inference(and_elim,[status(thm)],[5])).
% 119.92/120.20 tff(88,plain,
% 119.92/120.20 (a_select2(sigma_defuse, n0) = use),
% 119.92/120.20 inference(modus_ponens,[status(thm)],[87, 86])).
% 119.92/120.20 tff(89,plain,
% 119.92/120.20 ((a_select2(rho_defuse, n2) = use) <=> (a_select2(rho_defuse, n2) = use)),
% 119.92/120.20 inference(rewrite,[status(thm)],[])).
% 119.92/120.20 tff(90,plain,
% 119.92/120.20 (a_select2(rho_defuse, n2) = use),
% 119.92/120.20 inference(and_elim,[status(thm)],[5])).
% 119.92/120.20 tff(91,plain,
% 119.92/120.20 (a_select2(rho_defuse, n2) = use),
% 119.92/120.20 inference(modus_ponens,[status(thm)],[90, 89])).
% 119.92/120.20 tff(92,plain,
% 119.92/120.20 ((a_select2(rho_defuse, n1) = use) <=> (a_select2(rho_defuse, n1) = use)),
% 119.92/120.20 inference(rewrite,[status(thm)],[])).
% 119.92/120.20 tff(93,plain,
% 119.92/120.20 (a_select2(rho_defuse, n1) = use),
% 119.92/120.20 inference(and_elim,[status(thm)],[5])).
% 119.92/120.20 tff(94,plain,
% 119.92/120.20 (a_select2(rho_defuse, n1) = use),
% 119.92/120.20 inference(modus_ponens,[status(thm)],[93, 92])).
% 119.92/120.20 tff(95,plain,
% 119.92/120.20 ((a_select2(rho_defuse, n0) = use) <=> (a_select2(rho_defuse, n0) = use)),
% 119.92/120.20 inference(rewrite,[status(thm)],[])).
% 119.92/120.20 tff(96,plain,
% 119.92/120.20 (a_select2(rho_defuse, n0) = use),
% 119.92/120.20 inference(and_elim,[status(thm)],[5])).
% 119.92/120.20 tff(97,plain,
% 119.92/120.20 (a_select2(rho_defuse, n0) = use),
% 119.92/120.20 inference(modus_ponens,[status(thm)],[96, 95])).
% 119.92/120.20 tff(98,plain,
% 119.92/120.20 (((~(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))) | (~((~leq(n0, C!14)) | (~leq(n0, D!13)) | (~leq(C!14, n2)) | (~leq(D!13, minus(pv5, n1))) | (~((~(a_select3(u_defuse, C!14, D!13) = use)) | (~(a_select3(z_defuse, C!14, D!13) = 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))) | (~((~leq(n0, C!14)) | (~leq(n0, D!13)) | (~leq(C!14, n2)) | (~leq(D!13, minus(pv5, n1))) | (~((~(a_select3(u_defuse, C!14, D!13) = use)) | (~(a_select3(z_defuse, C!14, D!13) = use)))))))),
% 120.02/120.20 inference(rewrite,[status(thm)],[])).
% 120.02/120.20 tff(99,plain,
% 120.02/120.20 ((~((~(leq(n0, C!14) & leq(n0, D!13) & leq(C!14, n2) & leq(D!13, minus(pv5, n1)))) | ((a_select3(u_defuse, C!14, D!13) = use) & (a_select3(z_defuse, C!14, D!13) = use)))) <=> (~((~leq(n0, C!14)) | (~leq(n0, D!13)) | (~leq(C!14, n2)) | (~leq(D!13, minus(pv5, n1))) | (~((~(a_select3(u_defuse, C!14, D!13) = use)) | (~(a_select3(z_defuse, C!14, D!13) = use))))))),
% 120.02/120.20 inference(rewrite,[status(thm)],[])).
% 120.02/120.20 tff(100,plain,
% 120.02/120.20 (((~(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))) | (~((~(leq(n0, C!14) & leq(n0, D!13) & leq(C!14, n2) & leq(D!13, minus(pv5, n1)))) | ((a_select3(u_defuse, C!14, D!13) = use) & (a_select3(z_defuse, C!14, D!13) = 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))) | (~((~leq(n0, C!14)) | (~leq(n0, D!13)) | (~leq(C!14, n2)) | (~leq(D!13, minus(pv5, n1))) | (~((~(a_select3(u_defuse, C!14, D!13) = use)) | (~(a_select3(z_defuse, C!14, D!13) = use)))))))),
% 120.02/120.21 inference(monotonicity,[status(thm)],[99])).
% 120.02/120.21 tff(101,plain,
% 120.02/120.21 (((~(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))) | (~((~(leq(n0, C!14) & leq(n0, D!13) & leq(C!14, n2) & leq(D!13, minus(pv5, n1)))) | ((a_select3(u_defuse, C!14, D!13) = use) & (a_select3(z_defuse, C!14, D!13) = 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))) | (~((~leq(n0, C!14)) | (~leq(n0, D!13)) | (~leq(C!14, n2)) | (~leq(D!13, minus(pv5, n1))) | (~((~(a_select3(u_defuse, C!14, D!13) = use)) | (~(a_select3(z_defuse, C!14, D!13) = use)))))))),
% 120.02/120.21 inference(transitivity,[status(thm)],[100, 98])).
% 120.02/120.21 tff(102,plain,
% 120.02/120.21 (((~(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))) | (~((~(leq(n0, C!14) & leq(n0, D!13) & leq(C!14, n2) & leq(D!13, minus(pv5, n1)))) | ((a_select3(u_defuse, C!14, D!13) = use) & (a_select3(z_defuse, C!14, D!13) = 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))) | (~((~(leq(n0, C!14) & leq(n0, D!13) & leq(C!14, n2) & leq(D!13, minus(pv5, n1)))) | ((a_select3(u_defuse, C!14, D!13) = use) & (a_select3(z_defuse, C!14, D!13) = use)))))),
% 120.02/120.21 inference(rewrite,[status(thm)],[])).
% 120.02/120.21 tff(103,plain,
% 120.02/120.21 (((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))))),
% 120.02/120.21 inference(rewrite,[status(thm)],[])).
% 120.02/120.21 tff(104,plain,
% 120.02/120.21 ((~((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)))))),
% 120.02/120.22 inference(monotonicity,[status(thm)],[103])).
% 120.02/120.22 tff(105,plain,
% 120.02/120.22 ((~((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)))))),
% 120.02/120.22 inference(rewrite,[status(thm)],[])).
% 120.02/120.22 tff(106,plain,
% 120.02/120.22 (~((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))))),
% 120.02/120.22 inference(or_elim,[status(thm)],[4])).
% 120.02/120.22 tff(107,plain,
% 120.02/120.22 (~((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))))),
% 120.02/120.22 inference(modus_ponens,[status(thm)],[106, 104])).
% 120.02/120.22 tff(108,plain,
% 120.02/120.22 (~((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))))),
% 120.02/120.22 inference(modus_ponens,[status(thm)],[107, 105])).
% 120.02/120.23 tff(109,plain,
% 120.02/120.23 (~((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))))),
% 120.02/120.23 inference(modus_ponens,[status(thm)],[108, 104])).
% 120.02/120.23 unexpected number of arguments: (let ((a!1 (~ (not (= (a_select2 rho_defuse n0) use))
% 120.02/120.23 (not (= (a_select2 rho_defuse n0) use))))
% 120.02/120.23 (a!2 (~ (not (= (a_select2 rho_defuse n1) use))
% 120.02/120.23 (not (= (a_select2 rho_defuse n1) use))))
% 120.02/120.23 (a!3 (~ (not (= (a_select2 rho_defuse n2) use))
% 120.02/120.23 (not (= (a_select2 rho_defuse n2) use))))
% 120.02/120.23 (a!4 (~ (not (= (a_select2 sigma_defuse n0) use))
% 120.02/120.23 (not (= (a_select2 sigma_defuse n0) use))))
% 120.02/120.23 (a!5 (~ (not (= (a_select2 sigma_defuse n1) use))
% 120.02/120.23 (not (= (a_select2 sigma_defuse n1) use))))
% 120.02/120.23 (a!6 (~ (not (= (a_select2 sigma_defuse n2) use))
% 120.02/120.23 (not (= (a_select2 sigma_defuse n2) use))))
% 120.02/120.23 (a!7 (~ (not (= (a_select2 sigma_defuse n3) use))
% 120.02/120.23 (not (= (a_select2 sigma_defuse n3) use))))
% 120.02/120.23 (a!8 (~ (not (= (a_select2 sigma_defuse n4) use))
% 120.02/120.23 (not (= (a_select2 sigma_defuse n4) use))))
% 120.02/120.23 (a!9 (~ (not (= (a_select2 sigma_defuse n5) use))
% 120.02/120.23 (not (= (a_select2 sigma_defuse n5) use))))
% 120.02/120.23 (a!10 (~ (not (= (a_select3 u_defuse n0 n0) use))
% 120.02/120.23 (not (= (a_select3 u_defuse n0 n0) use))))
% 120.02/120.23 (a!11 (~ (not (= (a_select3 u_defuse n1 n0) use))
% 120.02/120.23 (not (= (a_select3 u_defuse n1 n0) use))))
% 120.02/120.23 (a!12 (~ (not (= (a_select3 u_defuse n2 n0) use))
% 120.02/120.23 (not (= (a_select3 u_defuse n2 n0) use))))
% 120.02/120.23 (a!13 (~ (not (= (a_select2 xinit_defuse n3) use))
% 120.02/120.23 (not (= (a_select2 xinit_defuse n3) use))))
% 120.02/120.23 (a!14 (~ (not (= (a_select2 xinit_defuse n4) use))
% 120.02/120.23 (not (= (a_select2 xinit_defuse n4) use))))
% 120.02/120.23 (a!15 (~ (not (= (a_select2 xinit_defuse n5) use))
% 120.02/120.23 (not (= (a_select2 xinit_defuse n5) use))))
% 120.02/120.23 (a!16 (~ (not (= (a_select2 xinit_mean_defuse n0) use))
% 120.02/120.23 (not (= (a_select2 xinit_mean_defuse n0) use))))
% 120.02/120.23 (a!17 (~ (not (= (a_select2 xinit_mean_defuse n1) use))
% 120.02/120.23 (not (= (a_select2 xinit_mean_defuse n1) use))))
% 120.02/120.23 (a!18 (~ (not (= (a_select2 xinit_mean_defuse n2) use))
% 120.02/120.23 (not (= (a_select2 xinit_mean_defuse n2) use))))
% 120.02/120.23 (a!19 (~ (not (= (a_select2 xinit_mean_defuse n3) use))
% 120.02/120.23 (not (= (a_select2 xinit_mean_defuse n3) use))))
% 120.02/120.23 (a!20 (~ (not (= (a_select2 xinit_mean_defuse n4) use))
% 120.02/120.23 (not (= (a_select2 xinit_mean_defuse n4) use))))
% 120.02/120.23 (a!21 (~ (not (= (a_select2 xinit_mean_defuse n5) use))
% 120.02/120.23 (not (= (a_select2 xinit_mean_defuse n5) use))))
% 120.02/120.23 (a!22 (~ (not (= (a_select2 xinit_noise_defuse n0) use))
% 120.02/120.23 (not (= (a_select2 xinit_noise_defuse n0) use))))
% 120.02/120.23 (a!23 (~ (not (= (a_select2 xinit_noise_defuse n1) use))
% 120.02/120.23 (not (= (a_select2 xinit_noise_defuse n1) use))))
% 120.02/120.23 (a!24 (~ (not (= (a_select2 xinit_noise_defuse n2) use))
% 120.02/120.23 (not (= (a_select2 xinit_noise_defuse n2) use))))
% 120.02/120.23 (a!25 (~ (not (= (a_select2 xinit_noise_defuse n3) use))
% 120.02/120.23 (not (= (a_select2 xinit_noise_defuse n3) use))))
% 120.02/120.23 (a!26 (~ (not (= (a_select2 xinit_noise_defuse n4) use))
% 120.02/120.23 (not (= (a_select2 xinit_noise_defuse n4) use))))
% 120.02/120.23 (a!27 (~ (not (= (a_select2 xinit_noise_defuse n5) use))
% 120.02/120.23 (not (= (a_select2 xinit_noise_defuse n5) use))))
% 120.02/120.23 (a!28 (refl (~ (not (leq n0 pv5)) (not (leq n0 pv5)))))
% 120.02/120.23 (a!29 (refl (~ (not (leq n0 pv51)) (not (leq n0 pv51)))))
% 120.02/120.23 (a!30 (~ (not (leq pv5 (minus n999 n1))) (not (leq pv5 (minus n999 n1)))))
% 120.02/120.23 (a!31 (~ (not (leq pv51 (minus n6 n1))) (not (leq pv51 (minus n6 n1)))))
% 120.02/120.23 (a!32 (forall ((C $i) (D $i))
% 120.02/120.23 (let ((a!1 (not (and (leq n0 C)
% 120.02/120.23 (leq n0 D)
% 120.02/120.23 (leq C n2)
% 120.02/120.23 (leq D (minus pv5 n1))))))
% 120.02/120.23 (or a!1
% 120.02/120.23 (and (= (a_select3 u_defuse C D) use)
% 120.02/120.23 (= (a_select3 z_defuse C D) use))))))
% 120.02/120.23 (a!33 (not (and (leq n0 C!14)
% 120.02/120.23 (leq n0 D!13)
% 120.02/120.23 (leq C!14 n2)
% 120.02/120.23 (leq D!13 (minus pv5 n1))))))
% 120.02/120.23 (let ((a!34 (or a!33
% 120.02/120.23 (and (= (a_select3 u_defuse C!14 D!13) use)
% 120.02/120.23 (= (a_select3 z_defuse C!14 D!13) use))))
% 120.02/120.23 (a!35 (not (and (= (a_select2 rho_defuse n0) use)
% 120.02/120.23 (= (a_select2 rho_defuse n1) use)
% 120.02/120.23 (= (a_select2 rho_defuse n2) use)
% 120.02/120.23 (= (a_select2 sigma_defuse n0) use)
% 120.02/120.23 (= (a_select2 sigma_defuse n1) use)
% 120.02/120.23 (= (a_select2 sigma_defuse n2) use)
% 120.02/120.23 (= (a_select2 sigma_defuse n3) use)
% 120.02/120.23 (= (a_select2 sigma_defuse n4) use)
% 120.02/120.23 (= (a_select2 sigma_defuse n5) use)
% 120.02/120.23 (= (a_select3 u_defuse n0 n0) use)
% 120.02/120.23 (= (a_select3 u_defuse n1 n0) use)
% 120.02/120.23 (= (a_select3 u_defuse n2 n0) use)
% 120.02/120.23 (= (a_select2 xinit_defuse n3) use)
% 120.02/120.23 (= (a_select2 xinit_defuse n4) use)
% 120.02/120.23 (= (a_select2 xinit_defuse n5) use)
% 120.02/120.23 (= (a_select2 xinit_mean_defuse n0) use)
% 120.02/120.23 (= (a_select2 xinit_mean_defuse n1) use)
% 120.02/120.23 (= (a_select2 xinit_mean_defuse n2) use)
% 120.02/120.23 (= (a_select2 xinit_mean_defuse n3) use)
% 120.02/120.23 (= (a_select2 xinit_mean_defuse n4) use)
% 120.02/120.23 (= (a_select2 xinit_mean_defuse n5) use)
% 120.02/120.23 (= (a_select2 xinit_noise_defuse n0) use)
% 120.02/120.23 (= (a_select2 xinit_noise_defuse n1) use)
% 120.02/120.23 (= (a_select2 xinit_noise_defuse n2) use)
% 120.02/120.23 (= (a_select2 xinit_noise_defuse n3) use)
% 120.02/120.23 (= (a_select2 xinit_noise_defuse n4) use)
% 120.02/120.23 (= (a_select2 xinit_noise_defuse n5) use)
% 120.02/120.23 (leq n0 pv5)
% 120.02/120.23 (leq n0 pv51)
% 120.02/120.23 (leq pv5 (minus n999 n1))
% 120.02/120.23 (leq pv51 (minus n6 n1))
% 120.02/120.23 a!32))))
% 120.02/120.23 (let ((a!36 (or (not (= (a_select2 rho_defuse n0) use))
% 120.02/120.23 (not (= (a_select2 rho_defuse n1) use))
% 120.02/120.23 (not (= (a_select2 rho_defuse n2) use))
% 120.02/120.23 (not (= (a_select2 sigma_defuse n0) use))
% 120.02/120.23 (not (= (a_select2 sigma_defuse n1) use))
% 120.02/120.23 (not (= (a_select2 sigma_defuse n2) use))
% 120.02/120.23 (not (= (a_select2 sigma_defuse n3) use))
% 120.02/120.23 (not (= (a_select2 sigma_defuse n4) use))
% 120.02/120.23 (not (= (a_select2 sigma_defuse n5) use))
% 120.02/120.23 (not (= (a_select3 u_defuse n0 n0) use))
% 120.02/120.23 (not (= (a_select3 u_defuse n1 n0) use))
% 120.02/120.23 (not (= (a_select3 u_defuse n2 n0) use))
% 120.02/120.23 (not (= (a_select2 xinit_defuse n3) use))
% 120.02/120.23 (not (= (a_select2 xinit_defuse n4) use))
% 120.02/120.23 (not (= (a_select2 xinit_defuse n5) use))
% 120.02/120.23 (not (= (a_select2 xinit_mean_defuse n0) use))
% 120.02/120.23 (not (= (a_select2 xinit_mean_defuse n1) use))
% 120.02/120.23 (not (= (a_select2 xinit_mean_defuse n2) use))
% 120.02/120.23 (not (= (a_select2 xinit_mean_defuse n3) use))
% 120.02/120.23 (not (= (a_select2 xinit_mean_defuse n4) use))
% 120.02/120.23 (not (= (a_select2 xinit_mean_defuse n5) use))
% 120.02/120.23 (not (= (a_select2 xinit_noise_defuse n0) use))
% 120.02/120.23 (not (= (a_select2 xinit_noise_defuse n1) use))
% 120.02/120.23 (not (= (a_select2 xinit_noise_defuse n2) use))
% 120.02/120.23 (not (= (a_select2 xinit_noise_defuse n3) use))
% 120.02/120.23 (not (= (a_select2 xinit_noise_defuse n4) use))
% 120.02/120.23 (not (= (a_select2 xinit_noise_defuse n5) use))
% 120.02/120.23 (not (leq n0 pv5))
% 120.02/120.23 (not (leq n0 pv51))
% 120.02/120.23 (not (leq pv5 (minus n999 n1)))
% 120.02/120.23 (not (leq pv51 (minus n6 n1)))
% 120.02/120.23 (not a!34))))
% 120.02/120.23 (nnf-neg (refl a!1)
% 120.02/120.23 (refl a!2)
% 120.02/120.23 (refl a!3)
% 120.02/120.23 (refl a!4)
% 120.02/120.23 (refl a!5)
% 120.02/120.23 (refl a!6)
% 120.02/120.23 (refl a!7)
% 120.02/120.23 (refl a!8)
% 120.02/120.23 (refl a!9)
% 120.02/120.23 (refl a!10)
% 120.02/120.23 (refl a!11)
% 120.02/120.23 (refl a!12)
% 120.02/120.23 (refl a!13)
% 120.02/120.23 (refl a!14)
% 120.02/120.23 (refl a!15)
% 120.02/120.23 (refl a!16)
% 120.02/120.23 (refl a!17)
% 120.02/120.23 (refl a!18)
% 120.02/120.23 (refl a!19)
% 120.02/120.23 (refl a!20)
% 120.02/120.23 (refl a!21)
% 120.02/120.23 (refl a!22)
% 120.02/120.23 (refl a!23)
% 120.02/120.23 (refl a!24)
% 120.02/120.23 (refl a!25)
% 120.02/120.23 (refl a!26)
% 120.02/120.23 (refl a!27)
% 120.02/120.23 a!28
% 120.02/120.23 a!29
% 120.02/120.23 (refl a!30)
% 120.02/120.23 (refl a!31)
% 120.02/120.23 (sk (~ (not a!32) (not a!34)))
% 120.02/120.23 (~ a!35 a!36)))))
% 120.02/120.23 Proof display could not be completed: unexpected number of arguments
% 120.53/120.73 % E exiting
%------------------------------------------------------------------------------