%------------------------------------------------------------------------------
% File : Z3---4.15.1
% Problem : SWV098+1 : TPTP v9.0.0. Bugfixed v3.3.0.
% Transfm : none
% Format : tptp
% Command : run_E %s %d THM
% Computer : n015.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 65.06s 65.28s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12 % Problem : SWV098+1 : TPTP v9.0.0. Bugfixed v3.3.0.
% 0.12/0.12 % Command : run_E %s %d THM
% 0.12/0.34 % Computer : n015.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Fri Jun 20 09:27:26 EDT 2025
% 0.12/0.34 % CPUTime :
% 65.06/65.28 % SZS status Theorem
% 65.06/65.28 % SZS output start Proof
% 65.06/65.28 tff(leq_type, type, (
% 65.06/65.28 leq: ( $i * $i ) > $o)).
% 65.06/65.28 tff(pv5_type, type, (
% 65.06/65.28 pv5: $i)).
% 65.06/65.28 tff(tptp_fun_F_13_type, type, (
% 65.06/65.28 tptp_fun_F_13: $i)).
% 65.06/65.28 tff(minus_type, type, (
% 65.06/65.28 minus: ( $i * $i ) > $i)).
% 65.06/65.28 tff(n1_type, type, (
% 65.06/65.28 n1: $i)).
% 65.06/65.28 tff(plus_type, type, (
% 65.06/65.28 plus: ( $i * $i ) > $i)).
% 65.06/65.28 tff(pred_type, type, (
% 65.06/65.28 pred: $i > $i)).
% 65.06/65.28 tff(succ_type, type, (
% 65.06/65.28 succ: $i > $i)).
% 65.06/65.28 tff(use_type, type, (
% 65.06/65.28 use: $i)).
% 65.06/65.28 tff(a_select3_type, type, (
% 65.06/65.28 a_select3: ( $i * $i * $i ) > $i)).
% 65.06/65.28 tff(tptp_fun_E_14_type, type, (
% 65.06/65.28 tptp_fun_E_14: $i)).
% 65.06/65.28 tff(z_defuse_type, type, (
% 65.06/65.28 z_defuse: $i)).
% 65.06/65.28 tff(u_defuse_type, type, (
% 65.06/65.28 u_defuse: $i)).
% 65.06/65.28 tff(n2_type, type, (
% 65.06/65.28 n2: $i)).
% 65.06/65.28 tff(n0_type, type, (
% 65.06/65.28 n0: $i)).
% 65.06/65.28 tff(a_select2_type, type, (
% 65.06/65.28 a_select2: ( $i * $i ) > $i)).
% 65.06/65.28 tff(n5_type, type, (
% 65.06/65.28 n5: $i)).
% 65.06/65.28 tff(xinit_noise_defuse_type, type, (
% 65.06/65.28 xinit_noise_defuse: $i)).
% 65.06/65.28 tff(n999_type, type, (
% 65.06/65.28 n999: $i)).
% 65.06/65.28 tff(n4_type, type, (
% 65.06/65.28 n4: $i)).
% 65.06/65.28 tff(n3_type, type, (
% 65.06/65.28 n3: $i)).
% 65.06/65.28 tff(xinit_mean_defuse_type, type, (
% 65.06/65.28 xinit_mean_defuse: $i)).
% 65.06/65.28 tff(xinit_defuse_type, type, (
% 65.06/65.28 xinit_defuse: $i)).
% 65.06/65.28 tff(sigma_defuse_type, type, (
% 65.06/65.28 sigma_defuse: $i)).
% 65.06/65.28 tff(rho_defuse_type, type, (
% 65.06/65.28 rho_defuse: $i)).
% 65.06/65.28 tff(1,plain,
% 65.06/65.28 (^[X: $i] : refl((minus(X, n1) = pred(X)) <=> (minus(X, n1) = pred(X)))),
% 65.06/65.28 inference(bind,[status(th)],[])).
% 65.06/65.28 tff(2,plain,
% 65.06/65.28 (![X: $i] : (minus(X, n1) = pred(X)) <=> ![X: $i] : (minus(X, n1) = pred(X))),
% 65.06/65.28 inference(quant_intro,[status(thm)],[1])).
% 65.06/65.28 tff(3,plain,
% 65.06/65.28 (![X: $i] : (minus(X, n1) = pred(X)) <=> ![X: $i] : (minus(X, n1) = pred(X))),
% 65.06/65.28 inference(rewrite,[status(thm)],[])).
% 65.06/65.28 tff(4,axiom,(![X: $i] : (minus(X, n1) = pred(X))), file('/export/starexec/sandbox2/benchmark/Axioms/SWV003+0.ax','pred_minus_1')).
% 65.06/65.28 tff(5,plain,
% 65.06/65.28 (![X: $i] : (minus(X, n1) = pred(X))),
% 65.06/65.28 inference(modus_ponens,[status(thm)],[4, 3])).
% 65.06/65.28 tff(6,plain,(
% 65.06/65.28 ![X: $i] : (minus(X, n1) = pred(X))),
% 65.06/65.28 inference(skolemize,[status(sab)],[5])).
% 65.06/65.28 tff(7,plain,
% 65.06/65.28 (![X: $i] : (minus(X, n1) = pred(X))),
% 65.06/65.28 inference(modus_ponens,[status(thm)],[6, 2])).
% 65.06/65.28 tff(8,plain,
% 65.06/65.28 ((~![X: $i] : (minus(X, n1) = pred(X))) | (minus(plus(n1, pv5), n1) = pred(plus(n1, pv5)))),
% 65.06/65.28 inference(quant_inst,[status(thm)],[])).
% 65.06/65.28 tff(9,plain,
% 65.06/65.28 (minus(plus(n1, pv5), n1) = pred(plus(n1, pv5))),
% 65.06/65.28 inference(unit_resolution,[status(thm)],[8, 7])).
% 65.06/65.28 tff(10,plain,
% 65.06/65.28 (pred(plus(n1, pv5)) = minus(plus(n1, pv5), n1)),
% 65.06/65.28 inference(symmetry,[status(thm)],[9])).
% 65.06/65.28 tff(11,plain,
% 65.06/65.28 (^[X: $i] : refl((plus(n1, X) = succ(X)) <=> (plus(n1, X) = succ(X)))),
% 65.06/65.28 inference(bind,[status(th)],[])).
% 65.06/65.28 tff(12,plain,
% 65.06/65.28 (![X: $i] : (plus(n1, X) = succ(X)) <=> ![X: $i] : (plus(n1, X) = succ(X))),
% 65.06/65.28 inference(quant_intro,[status(thm)],[11])).
% 65.06/65.28 tff(13,plain,
% 65.06/65.28 (![X: $i] : (plus(n1, X) = succ(X)) <=> ![X: $i] : (plus(n1, X) = succ(X))),
% 65.06/65.28 inference(rewrite,[status(thm)],[])).
% 65.06/65.28 tff(14,axiom,(![X: $i] : (plus(n1, X) = succ(X))), file('/export/starexec/sandbox2/benchmark/Axioms/SWV003+0.ax','succ_plus_1_l')).
% 65.06/65.28 tff(15,plain,
% 65.06/65.28 (![X: $i] : (plus(n1, X) = succ(X))),
% 65.06/65.28 inference(modus_ponens,[status(thm)],[14, 13])).
% 65.06/65.28 tff(16,plain,(
% 65.06/65.28 ![X: $i] : (plus(n1, X) = succ(X))),
% 65.06/65.28 inference(skolemize,[status(sab)],[15])).
% 65.06/65.28 tff(17,plain,
% 65.06/65.28 (![X: $i] : (plus(n1, X) = succ(X))),
% 65.06/65.28 inference(modus_ponens,[status(thm)],[16, 12])).
% 65.06/65.28 tff(18,plain,
% 65.06/65.28 ((~![X: $i] : (plus(n1, X) = succ(X))) | (plus(n1, pv5) = succ(pv5))),
% 65.06/65.28 inference(quant_inst,[status(thm)],[])).
% 65.06/65.28 tff(19,plain,
% 65.06/65.28 (plus(n1, pv5) = succ(pv5)),
% 65.06/65.28 inference(unit_resolution,[status(thm)],[18, 17])).
% 65.06/65.28 tff(20,plain,
% 65.06/65.28 (succ(pv5) = plus(n1, pv5)),
% 65.06/65.28 inference(symmetry,[status(thm)],[19])).
% 65.06/65.28 tff(21,plain,
% 65.06/65.28 (pred(succ(pv5)) = pred(plus(n1, pv5))),
% 65.06/65.28 inference(monotonicity,[status(thm)],[20])).
% 65.06/65.28 tff(22,plain,
% 65.06/65.28 (![X: $i] : (pred(succ(X)) = X) <=> ![X: $i] : (pred(succ(X)) = X)),
% 65.06/65.28 inference(rewrite,[status(thm)],[])).
% 65.06/65.28 tff(23,plain,
% 65.06/65.28 (![X: $i] : (pred(succ(X)) = X) <=> ![X: $i] : (pred(succ(X)) = X)),
% 65.06/65.28 inference(rewrite,[status(thm)],[])).
% 65.06/65.28 tff(24,axiom,(![X: $i] : (pred(succ(X)) = X)), file('/export/starexec/sandbox2/benchmark/Axioms/SWV003+0.ax','pred_succ')).
% 65.06/65.29 tff(25,plain,
% 65.06/65.29 (![X: $i] : (pred(succ(X)) = X)),
% 65.06/65.29 inference(modus_ponens,[status(thm)],[24, 23])).
% 65.06/65.29 tff(26,plain,(
% 65.06/65.29 ![X: $i] : (pred(succ(X)) = X)),
% 65.06/65.29 inference(skolemize,[status(sab)],[25])).
% 65.06/65.29 tff(27,plain,
% 65.06/65.29 (![X: $i] : (pred(succ(X)) = X)),
% 65.06/65.29 inference(modus_ponens,[status(thm)],[26, 22])).
% 65.06/65.29 tff(28,plain,
% 65.06/65.29 ((~![X: $i] : (pred(succ(X)) = X)) | (pred(succ(pv5)) = pv5)),
% 65.06/65.29 inference(quant_inst,[status(thm)],[])).
% 65.06/65.29 tff(29,plain,
% 65.06/65.29 (pred(succ(pv5)) = pv5),
% 65.06/65.29 inference(unit_resolution,[status(thm)],[28, 27])).
% 65.06/65.29 tff(30,plain,
% 65.06/65.29 (pv5 = pred(succ(pv5))),
% 65.06/65.29 inference(symmetry,[status(thm)],[29])).
% 65.06/65.29 tff(31,plain,
% 65.06/65.29 (pv5 = minus(plus(n1, pv5), n1)),
% 65.06/65.29 inference(transitivity,[status(thm)],[30, 21, 10])).
% 65.06/65.29 tff(32,plain,
% 65.06/65.29 (leq(F!13, pv5) <=> leq(F!13, minus(plus(n1, pv5), n1))),
% 65.06/65.29 inference(monotonicity,[status(thm)],[31])).
% 65.06/65.29 tff(33,plain,
% 65.06/65.29 (leq(F!13, minus(plus(n1, pv5), n1)) <=> leq(F!13, pv5)),
% 65.06/65.29 inference(symmetry,[status(thm)],[32])).
% 65.06/65.29 tff(34,plain,
% 65.06/65.29 ((a_select2(xinit_noise_defuse, n5) = use) <=> (a_select2(xinit_noise_defuse, n5) = use)),
% 65.06/65.29 inference(rewrite,[status(thm)],[])).
% 65.06/65.29 tff(35,plain,
% 65.06/65.29 ((~((((((((((((((((((((((((((((((((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(pv5, minus(n999, n1))) & ![A: $i, B: $i] : ((((leq(n0, A) & leq(n0, B)) & leq(A, n2)) & leq(B, pv5)) => ((a_select3(u_defuse, A, B) = use) & (a_select3(z_defuse, A, B) = use)))) & ![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)) & ![E: $i, F: $i] : ((((leq(n0, E) & leq(n0, F)) & leq(E, n2)) & leq(F, minus(plus(n1, 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(pv5, minus(n999, n1)) & ![A: $i, B: $i] : ((~(leq(n0, A) & leq(n0, B) & leq(A, n2) & leq(B, pv5))) | ((a_select3(u_defuse, A, B) = use) & (a_select3(z_defuse, A, B) = use))) & ![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) & ![E: $i, F: $i] : ((~(leq(n0, E) & leq(n0, F) & leq(E, n2) & leq(F, minus(plus(n1, pv5), n1)))) | ((a_select3(u_defuse, E, F) = use) & (a_select3(z_defuse, E, F) = use))))))),
% 65.06/65.29 inference(rewrite,[status(thm)],[])).
% 65.06/65.29 tff(36,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(pv5, minus(n999, n1))) & ![A: $i, B: $i] : ((((leq(n0, A) & leq(n0, B)) & leq(A, n2)) & leq(B, pv5)) => ((a_select3(u_defuse, A, B) = use) & (a_select3(z_defuse, A, B) = use)))) & ![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)) & ![E: $i, F: $i] : ((((leq(n0, E) & leq(n0, F)) & leq(E, n2)) & leq(F, minus(plus(n1, 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_0010')).
% 65.14/65.29 tff(37,plain,
% 65.14/65.29 (~((~((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(pv5, minus(n999, n1)) & ![A: $i, B: $i] : ((~(leq(n0, A) & leq(n0, B) & leq(A, n2) & leq(B, pv5))) | ((a_select3(u_defuse, A, B) = use) & (a_select3(z_defuse, A, B) = use))) & ![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) & ![E: $i, F: $i] : ((~(leq(n0, E) & leq(n0, F) & leq(E, n2) & leq(F, minus(plus(n1, pv5), n1)))) | ((a_select3(u_defuse, E, F) = use) & (a_select3(z_defuse, E, F) = use)))))),
% 65.14/65.30 inference(modus_ponens,[status(thm)],[36, 35])).
% 65.14/65.30 tff(38,plain,
% 65.14/65.30 ((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(pv5, minus(n999, n1)) & ![A: $i, B: $i] : ((~(leq(n0, A) & leq(n0, B) & leq(A, n2) & leq(B, pv5))) | ((a_select3(u_defuse, A, B) = use) & (a_select3(z_defuse, A, B) = use))) & ![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)))),
% 65.14/65.30 inference(or_elim,[status(thm)],[37])).
% 65.14/65.30 tff(39,plain,
% 65.14/65.30 (a_select2(xinit_noise_defuse, n5) = use),
% 65.14/65.30 inference(and_elim,[status(thm)],[38])).
% 65.14/65.30 tff(40,plain,
% 65.14/65.30 (a_select2(xinit_noise_defuse, n5) = use),
% 65.14/65.30 inference(modus_ponens,[status(thm)],[39, 34])).
% 65.14/65.30 tff(41,plain,
% 65.14/65.30 ((a_select2(xinit_noise_defuse, n4) = use) <=> (a_select2(xinit_noise_defuse, n4) = use)),
% 65.14/65.30 inference(rewrite,[status(thm)],[])).
% 65.14/65.30 tff(42,plain,
% 65.14/65.30 (a_select2(xinit_noise_defuse, n4) = use),
% 65.14/65.30 inference(and_elim,[status(thm)],[38])).
% 65.14/65.30 tff(43,plain,
% 65.14/65.30 (a_select2(xinit_noise_defuse, n4) = use),
% 65.14/65.30 inference(modus_ponens,[status(thm)],[42, 41])).
% 65.14/65.30 tff(44,plain,
% 65.14/65.30 ((a_select2(xinit_noise_defuse, n3) = use) <=> (a_select2(xinit_noise_defuse, n3) = use)),
% 65.14/65.30 inference(rewrite,[status(thm)],[])).
% 65.14/65.30 tff(45,plain,
% 65.14/65.30 (a_select2(xinit_noise_defuse, n3) = use),
% 65.14/65.30 inference(and_elim,[status(thm)],[38])).
% 65.14/65.30 tff(46,plain,
% 65.14/65.30 (a_select2(xinit_noise_defuse, n3) = use),
% 65.14/65.30 inference(modus_ponens,[status(thm)],[45, 44])).
% 65.14/65.30 tff(47,plain,
% 65.14/65.30 ((a_select2(xinit_noise_defuse, n2) = use) <=> (a_select2(xinit_noise_defuse, n2) = use)),
% 65.14/65.30 inference(rewrite,[status(thm)],[])).
% 65.14/65.30 tff(48,plain,
% 65.14/65.30 (a_select2(xinit_noise_defuse, n2) = use),
% 65.14/65.30 inference(and_elim,[status(thm)],[38])).
% 65.14/65.30 tff(49,plain,
% 65.14/65.30 (a_select2(xinit_noise_defuse, n2) = use),
% 65.14/65.30 inference(modus_ponens,[status(thm)],[48, 47])).
% 65.14/65.30 tff(50,plain,
% 65.14/65.30 ((a_select2(xinit_noise_defuse, n1) = use) <=> (a_select2(xinit_noise_defuse, n1) = use)),
% 65.14/65.30 inference(rewrite,[status(thm)],[])).
% 65.14/65.30 tff(51,plain,
% 65.14/65.30 (a_select2(xinit_noise_defuse, n1) = use),
% 65.14/65.30 inference(and_elim,[status(thm)],[38])).
% 65.14/65.30 tff(52,plain,
% 65.14/65.30 (a_select2(xinit_noise_defuse, n1) = use),
% 65.14/65.30 inference(modus_ponens,[status(thm)],[51, 50])).
% 65.14/65.30 tff(53,plain,
% 65.14/65.30 ((a_select2(xinit_noise_defuse, n0) = use) <=> (a_select2(xinit_noise_defuse, n0) = use)),
% 65.14/65.30 inference(rewrite,[status(thm)],[])).
% 65.14/65.30 tff(54,plain,
% 65.14/65.30 (a_select2(xinit_noise_defuse, n0) = use),
% 65.14/65.30 inference(and_elim,[status(thm)],[38])).
% 65.14/65.30 tff(55,plain,
% 65.14/65.30 (a_select2(xinit_noise_defuse, n0) = use),
% 65.14/65.30 inference(modus_ponens,[status(thm)],[54, 53])).
% 65.14/65.30 tff(56,plain,
% 65.14/65.30 ((a_select2(xinit_mean_defuse, n5) = use) <=> (a_select2(xinit_mean_defuse, n5) = use)),
% 65.14/65.30 inference(rewrite,[status(thm)],[])).
% 65.14/65.30 tff(57,plain,
% 65.14/65.30 (a_select2(xinit_mean_defuse, n5) = use),
% 65.14/65.30 inference(and_elim,[status(thm)],[38])).
% 65.14/65.30 tff(58,plain,
% 65.14/65.30 (a_select2(xinit_mean_defuse, n5) = use),
% 65.14/65.30 inference(modus_ponens,[status(thm)],[57, 56])).
% 65.14/65.30 tff(59,plain,
% 65.14/65.30 ((a_select2(xinit_mean_defuse, n4) = use) <=> (a_select2(xinit_mean_defuse, n4) = use)),
% 65.14/65.30 inference(rewrite,[status(thm)],[])).
% 65.14/65.30 tff(60,plain,
% 65.14/65.30 (a_select2(xinit_mean_defuse, n4) = use),
% 65.14/65.30 inference(and_elim,[status(thm)],[38])).
% 65.14/65.30 tff(61,plain,
% 65.14/65.30 (a_select2(xinit_mean_defuse, n4) = use),
% 65.14/65.30 inference(modus_ponens,[status(thm)],[60, 59])).
% 65.14/65.30 tff(62,plain,
% 65.14/65.30 ((a_select2(xinit_mean_defuse, n3) = use) <=> (a_select2(xinit_mean_defuse, n3) = use)),
% 65.14/65.30 inference(rewrite,[status(thm)],[])).
% 65.14/65.30 tff(63,plain,
% 65.14/65.30 (a_select2(xinit_mean_defuse, n3) = use),
% 65.14/65.30 inference(and_elim,[status(thm)],[38])).
% 65.14/65.30 tff(64,plain,
% 65.14/65.30 (a_select2(xinit_mean_defuse, n3) = use),
% 65.14/65.30 inference(modus_ponens,[status(thm)],[63, 62])).
% 65.14/65.30 tff(65,plain,
% 65.14/65.30 ((a_select2(xinit_mean_defuse, n2) = use) <=> (a_select2(xinit_mean_defuse, n2) = use)),
% 65.14/65.30 inference(rewrite,[status(thm)],[])).
% 65.14/65.30 tff(66,plain,
% 65.14/65.30 (a_select2(xinit_mean_defuse, n2) = use),
% 65.14/65.30 inference(and_elim,[status(thm)],[38])).
% 65.14/65.30 tff(67,plain,
% 65.14/65.30 (a_select2(xinit_mean_defuse, n2) = use),
% 65.14/65.30 inference(modus_ponens,[status(thm)],[66, 65])).
% 65.14/65.30 tff(68,plain,
% 65.14/65.30 ((a_select2(xinit_mean_defuse, n1) = use) <=> (a_select2(xinit_mean_defuse, n1) = use)),
% 65.14/65.30 inference(rewrite,[status(thm)],[])).
% 65.14/65.30 tff(69,plain,
% 65.14/65.30 (a_select2(xinit_mean_defuse, n1) = use),
% 65.14/65.30 inference(and_elim,[status(thm)],[38])).
% 65.14/65.30 tff(70,plain,
% 65.14/65.30 (a_select2(xinit_mean_defuse, n1) = use),
% 65.14/65.30 inference(modus_ponens,[status(thm)],[69, 68])).
% 65.14/65.30 tff(71,plain,
% 65.14/65.30 ((a_select2(xinit_mean_defuse, n0) = use) <=> (a_select2(xinit_mean_defuse, n0) = use)),
% 65.14/65.30 inference(rewrite,[status(thm)],[])).
% 65.14/65.30 tff(72,plain,
% 65.14/65.30 (a_select2(xinit_mean_defuse, n0) = use),
% 65.14/65.30 inference(and_elim,[status(thm)],[38])).
% 65.14/65.30 tff(73,plain,
% 65.14/65.30 (a_select2(xinit_mean_defuse, n0) = use),
% 65.14/65.30 inference(modus_ponens,[status(thm)],[72, 71])).
% 65.14/65.30 tff(74,plain,
% 65.14/65.30 ((a_select2(xinit_defuse, n5) = use) <=> (a_select2(xinit_defuse, n5) = use)),
% 65.14/65.30 inference(rewrite,[status(thm)],[])).
% 65.14/65.30 tff(75,plain,
% 65.14/65.30 (a_select2(xinit_defuse, n5) = use),
% 65.14/65.30 inference(and_elim,[status(thm)],[38])).
% 65.14/65.30 tff(76,plain,
% 65.14/65.30 (a_select2(xinit_defuse, n5) = use),
% 65.14/65.30 inference(modus_ponens,[status(thm)],[75, 74])).
% 65.14/65.30 tff(77,plain,
% 65.14/65.30 ((a_select2(xinit_defuse, n4) = use) <=> (a_select2(xinit_defuse, n4) = use)),
% 65.14/65.30 inference(rewrite,[status(thm)],[])).
% 65.14/65.30 tff(78,plain,
% 65.14/65.30 (a_select2(xinit_defuse, n4) = use),
% 65.14/65.30 inference(and_elim,[status(thm)],[38])).
% 65.14/65.30 tff(79,plain,
% 65.14/65.30 (a_select2(xinit_defuse, n4) = use),
% 65.14/65.30 inference(modus_ponens,[status(thm)],[78, 77])).
% 65.14/65.30 tff(80,plain,
% 65.14/65.30 ((a_select2(xinit_defuse, n3) = use) <=> (a_select2(xinit_defuse, n3) = use)),
% 65.14/65.30 inference(rewrite,[status(thm)],[])).
% 65.14/65.30 tff(81,plain,
% 65.14/65.30 (a_select2(xinit_defuse, n3) = use),
% 65.14/65.30 inference(and_elim,[status(thm)],[38])).
% 65.14/65.30 tff(82,plain,
% 65.14/65.30 (a_select2(xinit_defuse, n3) = use),
% 65.14/65.30 inference(modus_ponens,[status(thm)],[81, 80])).
% 65.14/65.30 tff(83,plain,
% 65.14/65.30 ((a_select3(u_defuse, n2, n0) = use) <=> (a_select3(u_defuse, n2, n0) = use)),
% 65.14/65.30 inference(rewrite,[status(thm)],[])).
% 65.14/65.30 tff(84,plain,
% 65.14/65.30 (a_select3(u_defuse, n2, n0) = use),
% 65.14/65.30 inference(and_elim,[status(thm)],[38])).
% 65.14/65.30 tff(85,plain,
% 65.14/65.30 (a_select3(u_defuse, n2, n0) = use),
% 65.14/65.30 inference(modus_ponens,[status(thm)],[84, 83])).
% 65.14/65.30 tff(86,plain,
% 65.14/65.30 ((a_select3(u_defuse, n1, n0) = use) <=> (a_select3(u_defuse, n1, n0) = use)),
% 65.14/65.30 inference(rewrite,[status(thm)],[])).
% 65.14/65.30 tff(87,plain,
% 65.14/65.30 (a_select3(u_defuse, n1, n0) = use),
% 65.14/65.30 inference(and_elim,[status(thm)],[38])).
% 65.14/65.30 tff(88,plain,
% 65.14/65.30 (a_select3(u_defuse, n1, n0) = use),
% 65.14/65.30 inference(modus_ponens,[status(thm)],[87, 86])).
% 65.14/65.30 tff(89,plain,
% 65.14/65.30 ((a_select3(u_defuse, n0, n0) = use) <=> (a_select3(u_defuse, n0, n0) = use)),
% 65.14/65.30 inference(rewrite,[status(thm)],[])).
% 65.14/65.30 tff(90,plain,
% 65.14/65.30 (a_select3(u_defuse, n0, n0) = use),
% 65.14/65.30 inference(and_elim,[status(thm)],[38])).
% 65.14/65.30 tff(91,plain,
% 65.14/65.30 (a_select3(u_defuse, n0, n0) = use),
% 65.14/65.30 inference(modus_ponens,[status(thm)],[90, 89])).
% 65.14/65.30 tff(92,plain,
% 65.14/65.30 ((a_select2(sigma_defuse, n5) = use) <=> (a_select2(sigma_defuse, n5) = use)),
% 65.14/65.30 inference(rewrite,[status(thm)],[])).
% 65.14/65.30 tff(93,plain,
% 65.14/65.30 (a_select2(sigma_defuse, n5) = use),
% 65.14/65.30 inference(and_elim,[status(thm)],[38])).
% 65.14/65.30 tff(94,plain,
% 65.14/65.30 (a_select2(sigma_defuse, n5) = use),
% 65.14/65.30 inference(modus_ponens,[status(thm)],[93, 92])).
% 65.14/65.30 tff(95,plain,
% 65.14/65.30 ((a_select2(sigma_defuse, n4) = use) <=> (a_select2(sigma_defuse, n4) = use)),
% 65.14/65.30 inference(rewrite,[status(thm)],[])).
% 65.14/65.30 tff(96,plain,
% 65.14/65.30 (a_select2(sigma_defuse, n4) = use),
% 65.14/65.30 inference(and_elim,[status(thm)],[38])).
% 65.14/65.30 tff(97,plain,
% 65.14/65.30 (a_select2(sigma_defuse, n4) = use),
% 65.14/65.30 inference(modus_ponens,[status(thm)],[96, 95])).
% 65.14/65.30 tff(98,plain,
% 65.14/65.30 ((a_select2(sigma_defuse, n3) = use) <=> (a_select2(sigma_defuse, n3) = use)),
% 65.14/65.30 inference(rewrite,[status(thm)],[])).
% 65.14/65.30 tff(99,plain,
% 65.14/65.30 (a_select2(sigma_defuse, n3) = use),
% 65.14/65.30 inference(and_elim,[status(thm)],[38])).
% 65.14/65.30 tff(100,plain,
% 65.14/65.30 (a_select2(sigma_defuse, n3) = use),
% 65.14/65.30 inference(modus_ponens,[status(thm)],[99, 98])).
% 65.14/65.30 tff(101,plain,
% 65.14/65.30 ((a_select2(sigma_defuse, n2) = use) <=> (a_select2(sigma_defuse, n2) = use)),
% 65.14/65.30 inference(rewrite,[status(thm)],[])).
% 65.14/65.30 tff(102,plain,
% 65.14/65.30 (a_select2(sigma_defuse, n2) = use),
% 65.14/65.30 inference(and_elim,[status(thm)],[38])).
% 65.14/65.30 tff(103,plain,
% 65.14/65.30 (a_select2(sigma_defuse, n2) = use),
% 65.14/65.30 inference(modus_ponens,[status(thm)],[102, 101])).
% 65.14/65.30 tff(104,plain,
% 65.14/65.30 ((a_select2(sigma_defuse, n1) = use) <=> (a_select2(sigma_defuse, n1) = use)),
% 65.14/65.30 inference(rewrite,[status(thm)],[])).
% 65.14/65.30 tff(105,plain,
% 65.14/65.30 (a_select2(sigma_defuse, n1) = use),
% 65.14/65.30 inference(and_elim,[status(thm)],[38])).
% 65.14/65.30 tff(106,plain,
% 65.14/65.30 (a_select2(sigma_defuse, n1) = use),
% 65.14/65.30 inference(modus_ponens,[status(thm)],[105, 104])).
% 65.14/65.30 tff(107,plain,
% 65.14/65.30 ((a_select2(sigma_defuse, n0) = use) <=> (a_select2(sigma_defuse, n0) = use)),
% 65.14/65.30 inference(rewrite,[status(thm)],[])).
% 65.14/65.30 tff(108,plain,
% 65.14/65.30 (a_select2(sigma_defuse, n0) = use),
% 65.14/65.30 inference(and_elim,[status(thm)],[38])).
% 65.14/65.30 tff(109,plain,
% 65.14/65.30 (a_select2(sigma_defuse, n0) = use),
% 65.14/65.30 inference(modus_ponens,[status(thm)],[108, 107])).
% 65.14/65.30 tff(110,plain,
% 65.14/65.30 ((a_select2(rho_defuse, n2) = use) <=> (a_select2(rho_defuse, n2) = use)),
% 65.14/65.30 inference(rewrite,[status(thm)],[])).
% 65.14/65.30 tff(111,plain,
% 65.14/65.30 (a_select2(rho_defuse, n2) = use),
% 65.14/65.30 inference(and_elim,[status(thm)],[38])).
% 65.14/65.30 tff(112,plain,
% 65.14/65.30 (a_select2(rho_defuse, n2) = use),
% 65.14/65.30 inference(modus_ponens,[status(thm)],[111, 110])).
% 65.14/65.30 tff(113,plain,
% 65.14/65.30 ((a_select2(rho_defuse, n1) = use) <=> (a_select2(rho_defuse, n1) = use)),
% 65.14/65.30 inference(rewrite,[status(thm)],[])).
% 65.14/65.30 tff(114,plain,
% 65.14/65.30 (a_select2(rho_defuse, n1) = use),
% 65.14/65.30 inference(and_elim,[status(thm)],[38])).
% 65.14/65.30 tff(115,plain,
% 65.14/65.30 (a_select2(rho_defuse, n1) = use),
% 65.14/65.30 inference(modus_ponens,[status(thm)],[114, 113])).
% 65.14/65.30 tff(116,plain,
% 65.14/65.30 ((a_select2(rho_defuse, n0) = use) <=> (a_select2(rho_defuse, n0) = use)),
% 65.14/65.30 inference(rewrite,[status(thm)],[])).
% 65.14/65.30 tff(117,plain,
% 65.14/65.30 (a_select2(rho_defuse, n0) = use),
% 65.14/65.30 inference(and_elim,[status(thm)],[38])).
% 65.14/65.30 tff(118,plain,
% 65.14/65.30 (a_select2(rho_defuse, n0) = use),
% 65.14/65.30 inference(modus_ponens,[status(thm)],[117, 116])).
% 65.14/65.30 tff(119,plain,
% 65.14/65.30 (((~(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, E!14)) | (~leq(n0, F!13)) | (~leq(E!14, n2)) | (~leq(F!13, minus(plus(n1, pv5), n1))) | (~((~(a_select3(u_defuse, E!14, F!13) = use)) | (~(a_select3(z_defuse, E!14, F!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, E!14)) | (~leq(n0, F!13)) | (~leq(E!14, n2)) | (~leq(F!13, minus(plus(n1, pv5), n1))) | (~((~(a_select3(u_defuse, E!14, F!13) = use)) | (~(a_select3(z_defuse, E!14, F!13) = use)))))))),
% 65.14/65.30 inference(rewrite,[status(thm)],[])).
% 65.14/65.30 tff(120,plain,
% 65.14/65.30 ((~((~(leq(n0, E!14) & leq(n0, F!13) & leq(E!14, n2) & leq(F!13, minus(plus(n1, pv5), n1)))) | ((a_select3(u_defuse, E!14, F!13) = use) & (a_select3(z_defuse, E!14, F!13) = use)))) <=> (~((~leq(n0, E!14)) | (~leq(n0, F!13)) | (~leq(E!14, n2)) | (~leq(F!13, minus(plus(n1, pv5), n1))) | (~((~(a_select3(u_defuse, E!14, F!13) = use)) | (~(a_select3(z_defuse, E!14, F!13) = use))))))),
% 65.14/65.30 inference(rewrite,[status(thm)],[])).
% 65.14/65.30 tff(121,plain,
% 65.14/65.30 (((~(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, E!14) & leq(n0, F!13) & leq(E!14, n2) & leq(F!13, minus(plus(n1, pv5), n1)))) | ((a_select3(u_defuse, E!14, F!13) = use) & (a_select3(z_defuse, E!14, F!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, E!14)) | (~leq(n0, F!13)) | (~leq(E!14, n2)) | (~leq(F!13, minus(plus(n1, pv5), n1))) | (~((~(a_select3(u_defuse, E!14, F!13) = use)) | (~(a_select3(z_defuse, E!14, F!13) = use)))))))),
% 65.14/65.30 inference(monotonicity,[status(thm)],[120])).
% 65.14/65.30 tff(122,plain,
% 65.14/65.30 (((~(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, E!14) & leq(n0, F!13) & leq(E!14, n2) & leq(F!13, minus(plus(n1, pv5), n1)))) | ((a_select3(u_defuse, E!14, F!13) = use) & (a_select3(z_defuse, E!14, F!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, E!14)) | (~leq(n0, F!13)) | (~leq(E!14, n2)) | (~leq(F!13, minus(plus(n1, pv5), n1))) | (~((~(a_select3(u_defuse, E!14, F!13) = use)) | (~(a_select3(z_defuse, E!14, F!13) = use)))))))),
% 65.14/65.30 inference(transitivity,[status(thm)],[121, 119])).
% 65.14/65.30 tff(123,plain,
% 65.14/65.30 (((~(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, E!14) & leq(n0, F!13) & leq(E!14, n2) & leq(F!13, minus(plus(n1, pv5), n1)))) | ((a_select3(u_defuse, E!14, F!13) = use) & (a_select3(z_defuse, E!14, F!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, E!14) & leq(n0, F!13) & leq(E!14, n2) & leq(F!13, minus(plus(n1, pv5), n1)))) | ((a_select3(u_defuse, E!14, F!13) = use) & (a_select3(z_defuse, E!14, F!13) = use)))))),
% 65.14/65.31 inference(rewrite,[status(thm)],[])).
% 65.14/65.31 tff(124,plain,
% 65.14/65.31 (((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) & ![E: $i, F: $i] : ((~(leq(n0, E) & leq(n0, F) & leq(E, n2) & leq(F, minus(plus(n1, 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) & ![E: $i, F: $i] : ((~(leq(n0, E) & leq(n0, F) & leq(E, n2) & leq(F, minus(plus(n1, pv5), n1)))) | ((a_select3(u_defuse, E, F) = use) & (a_select3(z_defuse, E, F) = use))))),
% 65.14/65.31 inference(rewrite,[status(thm)],[])).
% 65.14/65.31 tff(125,plain,
% 65.14/65.31 ((~((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) & ![E: $i, F: $i] : ((~(leq(n0, E) & leq(n0, F) & leq(E, n2) & leq(F, minus(plus(n1, 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) & ![E: $i, F: $i] : ((~(leq(n0, E) & leq(n0, F) & leq(E, n2) & leq(F, minus(plus(n1, pv5), n1)))) | ((a_select3(u_defuse, E, F) = use) & (a_select3(z_defuse, E, F) = use)))))),
% 65.14/65.31 inference(monotonicity,[status(thm)],[124])).
% 65.14/65.31 tff(126,plain,
% 65.14/65.31 ((~((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) & ![E: $i, F: $i] : ((~(leq(n0, E) & leq(n0, F) & leq(E, n2) & leq(F, minus(plus(n1, 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) & ![E: $i, F: $i] : ((~(leq(n0, E) & leq(n0, F) & leq(E, n2) & leq(F, minus(plus(n1, pv5), n1)))) | ((a_select3(u_defuse, E, F) = use) & (a_select3(z_defuse, E, F) = use)))))),
% 65.14/65.31 inference(rewrite,[status(thm)],[])).
% 65.14/65.31 tff(127,plain,
% 65.14/65.31 (~((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) & ![E: $i, F: $i] : ((~(leq(n0, E) & leq(n0, F) & leq(E, n2) & leq(F, minus(plus(n1, pv5), n1)))) | ((a_select3(u_defuse, E, F) = use) & (a_select3(z_defuse, E, F) = use))))),
% 65.14/65.31 inference(or_elim,[status(thm)],[37])).
% 65.14/65.31 tff(128,plain,
% 65.14/65.31 (~((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) & ![E: $i, F: $i] : ((~(leq(n0, E) & leq(n0, F) & leq(E, n2) & leq(F, minus(plus(n1, pv5), n1)))) | ((a_select3(u_defuse, E, F) = use) & (a_select3(z_defuse, E, F) = use))))),
% 65.14/65.32 inference(modus_ponens,[status(thm)],[127, 125])).
% 65.14/65.32 tff(129,plain,
% 65.14/65.32 (~((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) & ![E: $i, F: $i] : ((~(leq(n0, E) & leq(n0, F) & leq(E, n2) & leq(F, minus(plus(n1, pv5), n1)))) | ((a_select3(u_defuse, E, F) = use) & (a_select3(z_defuse, E, F) = use))))),
% 65.14/65.32 inference(modus_ponens,[status(thm)],[128, 126])).
% 65.14/65.32 tff(130,plain,
% 65.14/65.32 (~((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) & ![E: $i, F: $i] : ((~(leq(n0, E) & leq(n0, F) & leq(E, n2) & leq(F, minus(plus(n1, pv5), n1)))) | ((a_select3(u_defuse, E, F) = use) & (a_select3(z_defuse, E, F) = use))))),
% 65.14/65.32 inference(modus_ponens,[status(thm)],[129, 125])).
% 65.14/65.32 unexpected number of arguments: (let ((a!1 (~ (not (= (a_select2 rho_defuse n0) use))
% 65.14/65.32 (not (= (a_select2 rho_defuse n0) use))))
% 65.14/65.32 (a!2 (~ (not (= (a_select2 rho_defuse n1) use))
% 65.14/65.32 (not (= (a_select2 rho_defuse n1) use))))
% 65.14/65.32 (a!3 (~ (not (= (a_select2 rho_defuse n2) use))
% 65.14/65.32 (not (= (a_select2 rho_defuse n2) use))))
% 65.14/65.32 (a!4 (~ (not (= (a_select2 sigma_defuse n0) use))
% 65.14/65.32 (not (= (a_select2 sigma_defuse n0) use))))
% 65.14/65.32 (a!5 (~ (not (= (a_select2 sigma_defuse n1) use))
% 65.14/65.32 (not (= (a_select2 sigma_defuse n1) use))))
% 65.14/65.32 (a!6 (~ (not (= (a_select2 sigma_defuse n2) use))
% 65.14/65.32 (not (= (a_select2 sigma_defuse n2) use))))
% 65.14/65.32 (a!7 (~ (not (= (a_select2 sigma_defuse n3) use))
% 65.14/65.32 (not (= (a_select2 sigma_defuse n3) use))))
% 65.14/65.32 (a!8 (~ (not (= (a_select2 sigma_defuse n4) use))
% 65.14/65.32 (not (= (a_select2 sigma_defuse n4) use))))
% 65.14/65.32 (a!9 (~ (not (= (a_select2 sigma_defuse n5) use))
% 65.14/65.32 (not (= (a_select2 sigma_defuse n5) use))))
% 65.14/65.32 (a!10 (~ (not (= (a_select3 u_defuse n0 n0) use))
% 65.14/65.32 (not (= (a_select3 u_defuse n0 n0) use))))
% 65.14/65.32 (a!11 (~ (not (= (a_select3 u_defuse n1 n0) use))
% 65.14/65.32 (not (= (a_select3 u_defuse n1 n0) use))))
% 65.14/65.32 (a!12 (~ (not (= (a_select3 u_defuse n2 n0) use))
% 65.14/65.32 (not (= (a_select3 u_defuse n2 n0) use))))
% 65.14/65.32 (a!13 (~ (not (= (a_select2 xinit_defuse n3) use))
% 65.14/65.32 (not (= (a_select2 xinit_defuse n3) use))))
% 65.14/65.32 (a!14 (~ (not (= (a_select2 xinit_defuse n4) use))
% 65.14/65.32 (not (= (a_select2 xinit_defuse n4) use))))
% 65.14/65.32 (a!15 (~ (not (= (a_select2 xinit_defuse n5) use))
% 65.14/65.32 (not (= (a_select2 xinit_defuse n5) use))))
% 65.14/65.32 (a!16 (~ (not (= (a_select2 xinit_mean_defuse n0) use))
% 65.14/65.32 (not (= (a_select2 xinit_mean_defuse n0) use))))
% 65.14/65.32 (a!17 (~ (not (= (a_select2 xinit_mean_defuse n1) use))
% 65.14/65.32 (not (= (a_select2 xinit_mean_defuse n1) use))))
% 65.14/65.32 (a!18 (~ (not (= (a_select2 xinit_mean_defuse n2) use))
% 65.14/65.32 (not (= (a_select2 xinit_mean_defuse n2) use))))
% 65.14/65.32 (a!19 (~ (not (= (a_select2 xinit_mean_defuse n3) use))
% 65.14/65.32 (not (= (a_select2 xinit_mean_defuse n3) use))))
% 65.14/65.32 (a!20 (~ (not (= (a_select2 xinit_mean_defuse n4) use))
% 65.14/65.32 (not (= (a_select2 xinit_mean_defuse n4) use))))
% 65.14/65.32 (a!21 (~ (not (= (a_select2 xinit_mean_defuse n5) use))
% 65.14/65.32 (not (= (a_select2 xinit_mean_defuse n5) use))))
% 65.14/65.32 (a!22 (~ (not (= (a_select2 xinit_noise_defuse n0) use))
% 65.14/65.32 (not (= (a_select2 xinit_noise_defuse n0) use))))
% 65.14/65.32 (a!23 (~ (not (= (a_select2 xinit_noise_defuse n1) use))
% 65.14/65.32 (not (= (a_select2 xinit_noise_defuse n1) use))))
% 65.14/65.32 (a!24 (~ (not (= (a_select2 xinit_noise_defuse n2) use))
% 65.14/65.32 (not (= (a_select2 xinit_noise_defuse n2) use))))
% 65.14/65.32 (a!25 (~ (not (= (a_select2 xinit_noise_defuse n3) use))
% 65.14/65.32 (not (= (a_select2 xinit_noise_defuse n3) use))))
% 65.14/65.32 (a!26 (~ (not (= (a_select2 xinit_noise_defuse n4) use))
% 65.14/65.32 (not (= (a_select2 xinit_noise_defuse n4) use))))
% 65.14/65.32 (a!27 (~ (not (= (a_select2 xinit_noise_defuse n5) use))
% 65.14/65.32 (not (= (a_select2 xinit_noise_defuse n5) use))))
% 65.14/65.32 (a!28 (forall ((E $i) (F $i))
% 65.14/65.32 (let ((a!1 (and (leq n0 E)
% 65.14/65.32 (leq n0 F)
% 65.14/65.32 (leq E n2)
% 65.14/65.32 (leq F (minus (plus n1 pv5) n1)))))
% 65.14/65.32 (or (not a!1)
% 65.14/65.32 (and (= (a_select3 u_defuse E F) use)
% 65.14/65.32 (= (a_select3 z_defuse E F) use))))))
% 65.14/65.32 (a!29 (and (leq n0 E!14)
% 65.14/65.32 (leq n0 F!13)
% 65.14/65.32 (leq E!14 n2)
% 65.14/65.32 (leq F!13 (minus (plus n1 pv5) n1)))))
% 65.14/65.32 (let ((a!30 (or (not a!29)
% 65.14/65.32 (and (= (a_select3 u_defuse E!14 F!13) use)
% 65.14/65.32 (= (a_select3 z_defuse E!14 F!13) use))))
% 65.14/65.32 (a!31 (not (and (= (a_select2 rho_defuse n0) use)
% 65.14/65.32 (= (a_select2 rho_defuse n1) use)
% 65.14/65.32 (= (a_select2 rho_defuse n2) use)
% 65.14/65.32 (= (a_select2 sigma_defuse n0) use)
% 65.14/65.32 (= (a_select2 sigma_defuse n1) use)
% 65.14/65.32 (= (a_select2 sigma_defuse n2) use)
% 65.14/65.32 (= (a_select2 sigma_defuse n3) use)
% 65.14/65.32 (= (a_select2 sigma_defuse n4) use)
% 65.14/65.32 (= (a_select2 sigma_defuse n5) use)
% 65.14/65.32 (= (a_select3 u_defuse n0 n0) use)
% 65.14/65.32 (= (a_select3 u_defuse n1 n0) use)
% 65.14/65.32 (= (a_select3 u_defuse n2 n0) use)
% 65.14/65.32 (= (a_select2 xinit_defuse n3) use)
% 65.14/65.32 (= (a_select2 xinit_defuse n4) use)
% 65.14/65.32 (= (a_select2 xinit_defuse n5) use)
% 65.14/65.32 (= (a_select2 xinit_mean_defuse n0) use)
% 65.14/65.32 (= (a_select2 xinit_mean_defuse n1) use)
% 65.14/65.32 (= (a_select2 xinit_mean_defuse n2) use)
% 65.14/65.32 (= (a_select2 xinit_mean_defuse n3) use)
% 65.14/65.32 (= (a_select2 xinit_mean_defuse n4) use)
% 65.14/65.32 (= (a_select2 xinit_mean_defuse n5) use)
% 65.14/65.32 (= (a_select2 xinit_noise_defuse n0) use)
% 65.14/65.32 (= (a_select2 xinit_noise_defuse n1) use)
% 65.14/65.32 (= (a_select2 xinit_noise_defuse n2) use)
% 65.14/65.32 (= (a_select2 xinit_noise_defuse n3) use)
% 65.14/65.32 (= (a_select2 xinit_noise_defuse n4) use)
% 65.14/65.32 (= (a_select2 xinit_noise_defuse n5) use)
% 65.14/65.32 a!28))))
% 65.14/65.32 (let ((a!32 (or (not (= (a_select2 rho_defuse n0) use))
% 65.14/65.32 (not (= (a_select2 rho_defuse n1) use))
% 65.14/65.32 (not (= (a_select2 rho_defuse n2) use))
% 65.14/65.32 (not (= (a_select2 sigma_defuse n0) use))
% 65.14/65.32 (not (= (a_select2 sigma_defuse n1) use))
% 65.14/65.32 (not (= (a_select2 sigma_defuse n2) use))
% 65.14/65.32 (not (= (a_select2 sigma_defuse n3) use))
% 65.14/65.32 (not (= (a_select2 sigma_defuse n4) use))
% 65.14/65.32 (not (= (a_select2 sigma_defuse n5) use))
% 65.14/65.32 (not (= (a_select3 u_defuse n0 n0) use))
% 65.14/65.32 (not (= (a_select3 u_defuse n1 n0) use))
% 65.14/65.32 (not (= (a_select3 u_defuse n2 n0) use))
% 65.14/65.32 (not (= (a_select2 xinit_defuse n3) use))
% 65.14/65.32 (not (= (a_select2 xinit_defuse n4) use))
% 65.14/65.32 (not (= (a_select2 xinit_defuse n5) use))
% 65.14/65.32 (not (= (a_select2 xinit_mean_defuse n0) use))
% 65.14/65.32 (not (= (a_select2 xinit_mean_defuse n1) use))
% 65.14/65.32 (not (= (a_select2 xinit_mean_defuse n2) use))
% 65.14/65.32 (not (= (a_select2 xinit_mean_defuse n3) use))
% 65.14/65.32 (not (= (a_select2 xinit_mean_defuse n4) use))
% 65.14/65.32 (not (= (a_select2 xinit_mean_defuse n5) use))
% 65.14/65.32 (not (= (a_select2 xinit_noise_defuse n0) use))
% 65.14/65.32 (not (= (a_select2 xinit_noise_defuse n1) use))
% 65.14/65.32 (not (= (a_select2 xinit_noise_defuse n2) use))
% 65.14/65.32 (not (= (a_select2 xinit_noise_defuse n3) use))
% 65.14/65.32 (not (= (a_select2 xinit_noise_defuse n4) use))
% 65.14/65.32 (not (= (a_select2 xinit_noise_defuse n5) use))
% 65.14/65.32 (not a!30))))
% 65.14/65.32 (nnf-neg (refl a!1)
% 65.14/65.32 (refl a!2)
% 65.14/65.32 (refl a!3)
% 65.14/65.32 (refl a!4)
% 65.14/65.32 (refl a!5)
% 65.14/65.32 (refl a!6)
% 65.14/65.32 (refl a!7)
% 65.14/65.32 (refl a!8)
% 65.14/65.32 (refl a!9)
% 65.14/65.32 (refl a!10)
% 65.14/65.32 (refl a!11)
% 65.14/65.32 (refl a!12)
% 65.14/65.32 (refl a!13)
% 65.14/65.32 (refl a!14)
% 65.14/65.32 (refl a!15)
% 65.14/65.32 (refl a!16)
% 65.14/65.32 (refl a!17)
% 65.14/65.32 (refl a!18)
% 65.14/65.32 (refl a!19)
% 65.14/65.32 (refl a!20)
% 65.14/65.32 (refl a!21)
% 65.14/65.32 (refl a!22)
% 65.14/65.32 (refl a!23)
% 65.14/65.32 (refl a!24)
% 65.14/65.32 (refl a!25)
% 65.14/65.32 (refl a!26)
% 65.14/65.32 (refl a!27)
% 65.14/65.32 (sk (~ (not a!28) (not a!30)))
% 65.14/65.32 (~ a!31 a!32)))))
% 65.14/65.32 Proof display could not be completed: unexpected number of arguments
% 65.50/65.66 % E exiting
%------------------------------------------------------------------------------