%------------------------------------------------------------------------------
% File : Z3---4.15.1
% Problem : SWV092+1 : TPTP v9.0.0. Bugfixed v3.3.0.
% Transfm : none
% Format : tptp
% Command : run_E %s %d THM
% Computer : n004.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 05:31:29 AM UTC 2025
% Result : Theorem 0.19s 0.48s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SWV092+1 : TPTP v9.0.0. Bugfixed v3.3.0.
% 0.00/0.12 % Command : run_E %s %d THM
% 0.12/0.33 % Computer : n004.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 09:28:07 EDT 2025
% 0.12/0.33 % CPUTime :
% 0.19/0.48 % SZS status Theorem
% 0.19/0.48 % SZS output start Proof
% 0.19/0.48 tff(gt_type, type, (
% 0.19/0.48 gt: ( $i * $i ) > $o)).
% 0.19/0.48 tff(n0_type, type, (
% 0.19/0.48 n0: $i)).
% 0.19/0.48 tff(leq_type, type, (
% 0.19/0.48 leq: ( $i * $i ) > $o)).
% 0.19/0.48 tff(succ_type, type, (
% 0.19/0.48 succ: $i > $i)).
% 0.19/0.48 tff(tptp_minus_1_type, type, (
% 0.19/0.48 tptp_minus_1: $i)).
% 0.19/0.48 tff(minus_type, type, (
% 0.19/0.48 minus: ( $i * $i ) > $i)).
% 0.19/0.48 tff(n1_type, type, (
% 0.19/0.48 n1: $i)).
% 0.19/0.48 tff(pred_type, type, (
% 0.19/0.48 pred: $i > $i)).
% 0.19/0.48 tff(tptp_fun_B_13_type, type, (
% 0.19/0.48 tptp_fun_B_13: $i)).
% 0.19/0.48 tff(use_type, type, (
% 0.19/0.48 use: $i)).
% 0.19/0.48 tff(a_select3_type, type, (
% 0.19/0.48 a_select3: ( $i * $i * $i ) > $i)).
% 0.19/0.48 tff(tptp_fun_A_14_type, type, (
% 0.19/0.48 tptp_fun_A_14: $i)).
% 0.19/0.48 tff(z_defuse_type, type, (
% 0.19/0.48 z_defuse: $i)).
% 0.19/0.48 tff(u_defuse_type, type, (
% 0.19/0.48 u_defuse: $i)).
% 0.19/0.48 tff(n2_type, type, (
% 0.19/0.48 n2: $i)).
% 0.19/0.48 tff(a_select2_type, type, (
% 0.19/0.48 a_select2: ( $i * $i ) > $i)).
% 0.19/0.48 tff(n5_type, type, (
% 0.19/0.48 n5: $i)).
% 0.19/0.48 tff(xinit_noise_defuse_type, type, (
% 0.19/0.48 xinit_noise_defuse: $i)).
% 0.19/0.48 tff(n4_type, type, (
% 0.19/0.48 n4: $i)).
% 0.19/0.48 tff(n3_type, type, (
% 0.19/0.48 n3: $i)).
% 0.19/0.48 tff(xinit_mean_defuse_type, type, (
% 0.19/0.48 xinit_mean_defuse: $i)).
% 0.19/0.48 tff(xinit_defuse_type, type, (
% 0.19/0.48 xinit_defuse: $i)).
% 0.19/0.48 tff(sigma_defuse_type, type, (
% 0.19/0.48 sigma_defuse: $i)).
% 0.19/0.48 tff(rho_defuse_type, type, (
% 0.19/0.48 rho_defuse: $i)).
% 0.19/0.48 tff(1,plain,
% 0.19/0.48 ((succ(tptp_minus_1) = n0) <=> (succ(tptp_minus_1) = n0)),
% 0.19/0.48 inference(rewrite,[status(thm)],[])).
% 0.19/0.48 tff(2,axiom,(succ(tptp_minus_1) = n0), file('/export/starexec/sandbox2/benchmark/Axioms/SWV003+0.ax','succ_tptp_minus_1')).
% 0.19/0.48 tff(3,plain,
% 0.19/0.48 (succ(tptp_minus_1) = n0),
% 0.19/0.48 inference(modus_ponens,[status(thm)],[2, 1])).
% 0.19/0.48 tff(4,plain,
% 0.19/0.48 (n0 = succ(tptp_minus_1)),
% 0.19/0.48 inference(symmetry,[status(thm)],[3])).
% 0.19/0.48 tff(5,plain,
% 0.19/0.48 (leq(succ(n0), n0) <=> leq(succ(n0), succ(tptp_minus_1))),
% 0.19/0.48 inference(monotonicity,[status(thm)],[4])).
% 0.19/0.48 tff(6,plain,
% 0.19/0.48 (leq(succ(n0), succ(tptp_minus_1)) <=> leq(succ(n0), n0)),
% 0.19/0.48 inference(symmetry,[status(thm)],[5])).
% 0.19/0.48 tff(7,plain,
% 0.19/0.48 (^[X: $i, Y: $i] : refl((leq(succ(X), succ(Y)) <=> leq(X, Y)) <=> (leq(succ(X), succ(Y)) <=> leq(X, Y)))),
% 0.19/0.48 inference(bind,[status(th)],[])).
% 0.19/0.48 tff(8,plain,
% 0.19/0.48 (![X: $i, Y: $i] : (leq(succ(X), succ(Y)) <=> leq(X, Y)) <=> ![X: $i, Y: $i] : (leq(succ(X), succ(Y)) <=> leq(X, Y))),
% 0.19/0.48 inference(quant_intro,[status(thm)],[7])).
% 0.19/0.48 tff(9,plain,
% 0.19/0.48 (![X: $i, Y: $i] : (leq(succ(X), succ(Y)) <=> leq(X, Y)) <=> ![X: $i, Y: $i] : (leq(succ(X), succ(Y)) <=> leq(X, Y))),
% 0.19/0.48 inference(rewrite,[status(thm)],[])).
% 0.19/0.48 tff(10,axiom,(![X: $i, Y: $i] : (leq(succ(X), succ(Y)) <=> leq(X, Y))), file('/export/starexec/sandbox2/benchmark/Axioms/SWV003+0.ax','leq_succ_succ')).
% 0.19/0.48 tff(11,plain,
% 0.19/0.48 (![X: $i, Y: $i] : (leq(succ(X), succ(Y)) <=> leq(X, Y))),
% 0.19/0.48 inference(modus_ponens,[status(thm)],[10, 9])).
% 0.19/0.48 tff(12,plain,(
% 0.19/0.48 ![X: $i, Y: $i] : (leq(succ(X), succ(Y)) <=> leq(X, Y))),
% 0.19/0.48 inference(skolemize,[status(sab)],[11])).
% 0.19/0.48 tff(13,plain,
% 0.19/0.48 (![X: $i, Y: $i] : (leq(succ(X), succ(Y)) <=> leq(X, Y))),
% 0.19/0.48 inference(modus_ponens,[status(thm)],[12, 8])).
% 0.19/0.48 tff(14,plain,
% 0.19/0.48 ((~![X: $i, Y: $i] : (leq(succ(X), succ(Y)) <=> leq(X, Y))) | (leq(succ(n0), succ(tptp_minus_1)) <=> leq(n0, tptp_minus_1))),
% 0.19/0.48 inference(quant_inst,[status(thm)],[])).
% 0.19/0.48 tff(15,plain,
% 0.19/0.48 (leq(succ(n0), succ(tptp_minus_1)) <=> leq(n0, tptp_minus_1)),
% 0.19/0.48 inference(unit_resolution,[status(thm)],[14, 13])).
% 0.19/0.48 tff(16,plain,
% 0.19/0.48 (^[X: $i] : refl((minus(X, n1) = pred(X)) <=> (minus(X, n1) = pred(X)))),
% 0.19/0.48 inference(bind,[status(th)],[])).
% 0.19/0.48 tff(17,plain,
% 0.19/0.48 (![X: $i] : (minus(X, n1) = pred(X)) <=> ![X: $i] : (minus(X, n1) = pred(X))),
% 0.19/0.48 inference(quant_intro,[status(thm)],[16])).
% 0.19/0.48 tff(18,plain,
% 0.19/0.48 (![X: $i] : (minus(X, n1) = pred(X)) <=> ![X: $i] : (minus(X, n1) = pred(X))),
% 0.19/0.48 inference(rewrite,[status(thm)],[])).
% 0.19/0.48 tff(19,axiom,(![X: $i] : (minus(X, n1) = pred(X))), file('/export/starexec/sandbox2/benchmark/Axioms/SWV003+0.ax','pred_minus_1')).
% 0.19/0.48 tff(20,plain,
% 0.19/0.48 (![X: $i] : (minus(X, n1) = pred(X))),
% 0.19/0.48 inference(modus_ponens,[status(thm)],[19, 18])).
% 0.19/0.48 tff(21,plain,(
% 0.19/0.48 ![X: $i] : (minus(X, n1) = pred(X))),
% 0.19/0.48 inference(skolemize,[status(sab)],[20])).
% 0.19/0.48 tff(22,plain,
% 0.19/0.48 (![X: $i] : (minus(X, n1) = pred(X))),
% 0.19/0.48 inference(modus_ponens,[status(thm)],[21, 17])).
% 0.19/0.48 tff(23,plain,
% 0.19/0.48 ((~![X: $i] : (minus(X, n1) = pred(X))) | (minus(n0, n1) = pred(n0))),
% 0.19/0.48 inference(quant_inst,[status(thm)],[])).
% 0.19/0.48 tff(24,plain,
% 0.19/0.48 (minus(n0, n1) = pred(n0)),
% 0.19/0.48 inference(unit_resolution,[status(thm)],[23, 22])).
% 0.19/0.48 tff(25,plain,
% 0.19/0.48 (pred(n0) = minus(n0, n1)),
% 0.19/0.48 inference(symmetry,[status(thm)],[24])).
% 0.19/0.48 tff(26,plain,
% 0.19/0.48 (pred(succ(tptp_minus_1)) = pred(n0)),
% 0.19/0.48 inference(monotonicity,[status(thm)],[3])).
% 0.19/0.48 tff(27,plain,
% 0.19/0.48 (![X: $i] : (pred(succ(X)) = X) <=> ![X: $i] : (pred(succ(X)) = X)),
% 0.19/0.48 inference(rewrite,[status(thm)],[])).
% 0.19/0.48 tff(28,plain,
% 0.19/0.48 (![X: $i] : (pred(succ(X)) = X) <=> ![X: $i] : (pred(succ(X)) = X)),
% 0.19/0.48 inference(rewrite,[status(thm)],[])).
% 0.19/0.48 tff(29,axiom,(![X: $i] : (pred(succ(X)) = X)), file('/export/starexec/sandbox2/benchmark/Axioms/SWV003+0.ax','pred_succ')).
% 0.19/0.48 tff(30,plain,
% 0.19/0.48 (![X: $i] : (pred(succ(X)) = X)),
% 0.19/0.48 inference(modus_ponens,[status(thm)],[29, 28])).
% 0.19/0.48 tff(31,plain,(
% 0.19/0.48 ![X: $i] : (pred(succ(X)) = X)),
% 0.19/0.48 inference(skolemize,[status(sab)],[30])).
% 0.19/0.48 tff(32,plain,
% 0.19/0.48 (![X: $i] : (pred(succ(X)) = X)),
% 0.19/0.48 inference(modus_ponens,[status(thm)],[31, 27])).
% 0.19/0.48 tff(33,plain,
% 0.19/0.48 ((~![X: $i] : (pred(succ(X)) = X)) | (pred(succ(tptp_minus_1)) = tptp_minus_1)),
% 0.19/0.48 inference(quant_inst,[status(thm)],[])).
% 0.19/0.48 tff(34,plain,
% 0.19/0.48 (pred(succ(tptp_minus_1)) = tptp_minus_1),
% 0.19/0.48 inference(unit_resolution,[status(thm)],[33, 32])).
% 0.19/0.48 tff(35,plain,
% 0.19/0.48 (tptp_minus_1 = pred(succ(tptp_minus_1))),
% 0.19/0.48 inference(symmetry,[status(thm)],[34])).
% 0.19/0.48 tff(36,plain,
% 0.19/0.48 (tptp_minus_1 = minus(n0, n1)),
% 0.19/0.48 inference(transitivity,[status(thm)],[35, 26, 25])).
% 0.19/0.48 tff(37,plain,
% 0.19/0.48 (leq(n0, tptp_minus_1) <=> leq(n0, minus(n0, n1))),
% 0.19/0.48 inference(monotonicity,[status(thm)],[36])).
% 0.19/0.48 tff(38,plain,
% 0.19/0.48 (leq(n0, minus(n0, n1)) <=> leq(n0, tptp_minus_1)),
% 0.19/0.48 inference(symmetry,[status(thm)],[37])).
% 0.19/0.48 tff(39,plain,
% 0.19/0.48 ((a_select2(xinit_noise_defuse, n5) = use) <=> (a_select2(xinit_noise_defuse, n5) = use)),
% 0.19/0.48 inference(rewrite,[status(thm)],[])).
% 0.19/0.48 tff(40,plain,
% 0.19/0.48 ((~((((((((((((((((((((((((((((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)) => ((((((((((((((((((((((((((((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)) & ![A: $i, B: $i] : ((((leq(n0, A) & leq(n0, B)) & leq(A, n2)) & leq(B, minus(n0, 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))) | ((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) & ![A: $i, B: $i] : ((~(leq(n0, A) & leq(n0, B) & leq(A, n2) & leq(B, minus(n0, n1)))) | ((a_select3(u_defuse, A, B) = use) & (a_select3(z_defuse, A, B) = use))))))),
% 0.19/0.48 inference(rewrite,[status(thm)],[])).
% 0.19/0.48 tff(41,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)) => ((((((((((((((((((((((((((((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)) & ![A: $i, B: $i] : ((((leq(n0, A) & leq(n0, B)) & leq(A, n2)) & leq(B, minus(n0, n1))) => ((a_select3(u_defuse, A, B) = use) & (a_select3(z_defuse, A, B) = use)))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','quaternion_ds1_inuse_0004')).
% 0.19/0.49 tff(42,plain,
% 0.19/0.49 (~((~((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))) | ((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) & ![A: $i, B: $i] : ((~(leq(n0, A) & leq(n0, B) & leq(A, n2) & leq(B, minus(n0, n1)))) | ((a_select3(u_defuse, A, B) = use) & (a_select3(z_defuse, A, B) = use)))))),
% 0.19/0.49 inference(modus_ponens,[status(thm)],[41, 40])).
% 0.19/0.49 tff(43,plain,
% 0.19/0.49 ((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)),
% 0.19/0.49 inference(or_elim,[status(thm)],[42])).
% 0.19/0.49 tff(44,plain,
% 0.19/0.49 (a_select2(xinit_noise_defuse, n5) = use),
% 0.19/0.49 inference(and_elim,[status(thm)],[43])).
% 0.19/0.49 tff(45,plain,
% 0.19/0.49 (a_select2(xinit_noise_defuse, n5) = use),
% 0.19/0.49 inference(modus_ponens,[status(thm)],[44, 39])).
% 0.19/0.49 tff(46,plain,
% 0.19/0.49 ((a_select2(xinit_noise_defuse, n4) = use) <=> (a_select2(xinit_noise_defuse, n4) = use)),
% 0.19/0.49 inference(rewrite,[status(thm)],[])).
% 0.19/0.49 tff(47,plain,
% 0.19/0.49 (a_select2(xinit_noise_defuse, n4) = use),
% 0.19/0.49 inference(and_elim,[status(thm)],[43])).
% 0.19/0.49 tff(48,plain,
% 0.19/0.49 (a_select2(xinit_noise_defuse, n4) = use),
% 0.19/0.49 inference(modus_ponens,[status(thm)],[47, 46])).
% 0.19/0.49 tff(49,plain,
% 0.19/0.49 ((a_select2(xinit_noise_defuse, n3) = use) <=> (a_select2(xinit_noise_defuse, n3) = use)),
% 0.19/0.49 inference(rewrite,[status(thm)],[])).
% 0.19/0.49 tff(50,plain,
% 0.19/0.49 (a_select2(xinit_noise_defuse, n3) = use),
% 0.19/0.49 inference(and_elim,[status(thm)],[43])).
% 0.19/0.49 tff(51,plain,
% 0.19/0.49 (a_select2(xinit_noise_defuse, n3) = use),
% 0.19/0.49 inference(modus_ponens,[status(thm)],[50, 49])).
% 0.19/0.49 tff(52,plain,
% 0.19/0.49 ((a_select2(xinit_noise_defuse, n2) = use) <=> (a_select2(xinit_noise_defuse, n2) = use)),
% 0.19/0.49 inference(rewrite,[status(thm)],[])).
% 0.19/0.49 tff(53,plain,
% 0.19/0.49 (a_select2(xinit_noise_defuse, n2) = use),
% 0.19/0.49 inference(and_elim,[status(thm)],[43])).
% 0.19/0.49 tff(54,plain,
% 0.19/0.49 (a_select2(xinit_noise_defuse, n2) = use),
% 0.19/0.49 inference(modus_ponens,[status(thm)],[53, 52])).
% 0.19/0.49 tff(55,plain,
% 0.19/0.49 ((a_select2(xinit_noise_defuse, n1) = use) <=> (a_select2(xinit_noise_defuse, n1) = use)),
% 0.19/0.49 inference(rewrite,[status(thm)],[])).
% 0.19/0.49 tff(56,plain,
% 0.19/0.49 (a_select2(xinit_noise_defuse, n1) = use),
% 0.19/0.49 inference(and_elim,[status(thm)],[43])).
% 0.19/0.49 tff(57,plain,
% 0.19/0.49 (a_select2(xinit_noise_defuse, n1) = use),
% 0.19/0.49 inference(modus_ponens,[status(thm)],[56, 55])).
% 0.19/0.49 tff(58,plain,
% 0.19/0.49 ((a_select2(xinit_noise_defuse, n0) = use) <=> (a_select2(xinit_noise_defuse, n0) = use)),
% 0.19/0.49 inference(rewrite,[status(thm)],[])).
% 0.19/0.49 tff(59,plain,
% 0.19/0.49 (a_select2(xinit_noise_defuse, n0) = use),
% 0.19/0.49 inference(and_elim,[status(thm)],[43])).
% 0.19/0.49 tff(60,plain,
% 0.19/0.49 (a_select2(xinit_noise_defuse, n0) = use),
% 0.19/0.49 inference(modus_ponens,[status(thm)],[59, 58])).
% 0.19/0.49 tff(61,plain,
% 0.19/0.49 ((a_select2(xinit_mean_defuse, n5) = use) <=> (a_select2(xinit_mean_defuse, n5) = use)),
% 0.19/0.49 inference(rewrite,[status(thm)],[])).
% 0.19/0.49 tff(62,plain,
% 0.19/0.49 (a_select2(xinit_mean_defuse, n5) = use),
% 0.19/0.49 inference(and_elim,[status(thm)],[43])).
% 0.19/0.49 tff(63,plain,
% 0.19/0.49 (a_select2(xinit_mean_defuse, n5) = use),
% 0.19/0.49 inference(modus_ponens,[status(thm)],[62, 61])).
% 0.19/0.49 tff(64,plain,
% 0.19/0.49 ((a_select2(xinit_mean_defuse, n4) = use) <=> (a_select2(xinit_mean_defuse, n4) = use)),
% 0.19/0.49 inference(rewrite,[status(thm)],[])).
% 0.19/0.49 tff(65,plain,
% 0.19/0.49 (a_select2(xinit_mean_defuse, n4) = use),
% 0.19/0.49 inference(and_elim,[status(thm)],[43])).
% 0.19/0.49 tff(66,plain,
% 0.19/0.49 (a_select2(xinit_mean_defuse, n4) = use),
% 0.19/0.49 inference(modus_ponens,[status(thm)],[65, 64])).
% 0.19/0.49 tff(67,plain,
% 0.19/0.49 ((a_select2(xinit_mean_defuse, n3) = use) <=> (a_select2(xinit_mean_defuse, n3) = use)),
% 0.19/0.49 inference(rewrite,[status(thm)],[])).
% 0.19/0.49 tff(68,plain,
% 0.19/0.49 (a_select2(xinit_mean_defuse, n3) = use),
% 0.19/0.49 inference(and_elim,[status(thm)],[43])).
% 0.19/0.49 tff(69,plain,
% 0.19/0.49 (a_select2(xinit_mean_defuse, n3) = use),
% 0.19/0.49 inference(modus_ponens,[status(thm)],[68, 67])).
% 0.19/0.49 tff(70,plain,
% 0.19/0.49 ((a_select2(xinit_mean_defuse, n2) = use) <=> (a_select2(xinit_mean_defuse, n2) = use)),
% 0.19/0.49 inference(rewrite,[status(thm)],[])).
% 0.19/0.49 tff(71,plain,
% 0.19/0.49 (a_select2(xinit_mean_defuse, n2) = use),
% 0.19/0.49 inference(and_elim,[status(thm)],[43])).
% 0.19/0.49 tff(72,plain,
% 0.19/0.49 (a_select2(xinit_mean_defuse, n2) = use),
% 0.19/0.49 inference(modus_ponens,[status(thm)],[71, 70])).
% 0.19/0.49 tff(73,plain,
% 0.19/0.49 ((a_select2(xinit_mean_defuse, n1) = use) <=> (a_select2(xinit_mean_defuse, n1) = use)),
% 0.19/0.49 inference(rewrite,[status(thm)],[])).
% 0.19/0.49 tff(74,plain,
% 0.19/0.49 (a_select2(xinit_mean_defuse, n1) = use),
% 0.19/0.49 inference(and_elim,[status(thm)],[43])).
% 0.19/0.49 tff(75,plain,
% 0.19/0.49 (a_select2(xinit_mean_defuse, n1) = use),
% 0.19/0.49 inference(modus_ponens,[status(thm)],[74, 73])).
% 0.19/0.49 tff(76,plain,
% 0.19/0.49 ((a_select2(xinit_mean_defuse, n0) = use) <=> (a_select2(xinit_mean_defuse, n0) = use)),
% 0.19/0.49 inference(rewrite,[status(thm)],[])).
% 0.19/0.49 tff(77,plain,
% 0.19/0.49 (a_select2(xinit_mean_defuse, n0) = use),
% 0.19/0.49 inference(and_elim,[status(thm)],[43])).
% 0.19/0.49 tff(78,plain,
% 0.19/0.49 (a_select2(xinit_mean_defuse, n0) = use),
% 0.19/0.49 inference(modus_ponens,[status(thm)],[77, 76])).
% 0.19/0.49 tff(79,plain,
% 0.19/0.49 ((a_select2(xinit_defuse, n5) = use) <=> (a_select2(xinit_defuse, n5) = use)),
% 0.19/0.49 inference(rewrite,[status(thm)],[])).
% 0.19/0.49 tff(80,plain,
% 0.19/0.49 (a_select2(xinit_defuse, n5) = use),
% 0.19/0.49 inference(and_elim,[status(thm)],[43])).
% 0.19/0.49 tff(81,plain,
% 0.19/0.49 (a_select2(xinit_defuse, n5) = use),
% 0.19/0.49 inference(modus_ponens,[status(thm)],[80, 79])).
% 0.19/0.49 tff(82,plain,
% 0.19/0.49 ((a_select2(xinit_defuse, n4) = use) <=> (a_select2(xinit_defuse, n4) = use)),
% 0.19/0.49 inference(rewrite,[status(thm)],[])).
% 0.19/0.49 tff(83,plain,
% 0.19/0.49 (a_select2(xinit_defuse, n4) = use),
% 0.19/0.49 inference(and_elim,[status(thm)],[43])).
% 0.19/0.49 tff(84,plain,
% 0.19/0.49 (a_select2(xinit_defuse, n4) = use),
% 0.19/0.49 inference(modus_ponens,[status(thm)],[83, 82])).
% 0.19/0.49 tff(85,plain,
% 0.19/0.49 ((a_select2(xinit_defuse, n3) = use) <=> (a_select2(xinit_defuse, n3) = use)),
% 0.19/0.49 inference(rewrite,[status(thm)],[])).
% 0.19/0.49 tff(86,plain,
% 0.19/0.49 (a_select2(xinit_defuse, n3) = use),
% 0.19/0.49 inference(and_elim,[status(thm)],[43])).
% 0.19/0.49 tff(87,plain,
% 0.19/0.49 (a_select2(xinit_defuse, n3) = use),
% 0.19/0.49 inference(modus_ponens,[status(thm)],[86, 85])).
% 0.19/0.49 tff(88,plain,
% 0.19/0.49 ((a_select3(u_defuse, n2, n0) = use) <=> (a_select3(u_defuse, n2, n0) = use)),
% 0.19/0.49 inference(rewrite,[status(thm)],[])).
% 0.19/0.49 tff(89,plain,
% 0.19/0.49 (a_select3(u_defuse, n2, n0) = use),
% 0.19/0.49 inference(and_elim,[status(thm)],[43])).
% 0.19/0.49 tff(90,plain,
% 0.19/0.49 (a_select3(u_defuse, n2, n0) = use),
% 0.19/0.49 inference(modus_ponens,[status(thm)],[89, 88])).
% 0.19/0.49 tff(91,plain,
% 0.19/0.49 ((a_select3(u_defuse, n1, n0) = use) <=> (a_select3(u_defuse, n1, n0) = use)),
% 0.19/0.49 inference(rewrite,[status(thm)],[])).
% 0.19/0.49 tff(92,plain,
% 0.19/0.49 (a_select3(u_defuse, n1, n0) = use),
% 0.19/0.49 inference(and_elim,[status(thm)],[43])).
% 0.19/0.49 tff(93,plain,
% 0.19/0.49 (a_select3(u_defuse, n1, n0) = use),
% 0.19/0.49 inference(modus_ponens,[status(thm)],[92, 91])).
% 0.19/0.49 tff(94,plain,
% 0.19/0.49 ((a_select3(u_defuse, n0, n0) = use) <=> (a_select3(u_defuse, n0, n0) = use)),
% 0.19/0.49 inference(rewrite,[status(thm)],[])).
% 0.19/0.49 tff(95,plain,
% 0.19/0.49 (a_select3(u_defuse, n0, n0) = use),
% 0.19/0.49 inference(and_elim,[status(thm)],[43])).
% 0.19/0.49 tff(96,plain,
% 0.19/0.49 (a_select3(u_defuse, n0, n0) = use),
% 0.19/0.49 inference(modus_ponens,[status(thm)],[95, 94])).
% 0.19/0.49 tff(97,plain,
% 0.19/0.49 ((a_select2(sigma_defuse, n5) = use) <=> (a_select2(sigma_defuse, n5) = use)),
% 0.19/0.49 inference(rewrite,[status(thm)],[])).
% 0.19/0.49 tff(98,plain,
% 0.19/0.49 (a_select2(sigma_defuse, n5) = use),
% 0.19/0.49 inference(and_elim,[status(thm)],[43])).
% 0.19/0.49 tff(99,plain,
% 0.19/0.49 (a_select2(sigma_defuse, n5) = use),
% 0.19/0.49 inference(modus_ponens,[status(thm)],[98, 97])).
% 0.19/0.49 tff(100,plain,
% 0.19/0.49 ((a_select2(sigma_defuse, n4) = use) <=> (a_select2(sigma_defuse, n4) = use)),
% 0.19/0.49 inference(rewrite,[status(thm)],[])).
% 0.19/0.49 tff(101,plain,
% 0.19/0.49 (a_select2(sigma_defuse, n4) = use),
% 0.19/0.49 inference(and_elim,[status(thm)],[43])).
% 0.19/0.49 tff(102,plain,
% 0.19/0.49 (a_select2(sigma_defuse, n4) = use),
% 0.19/0.49 inference(modus_ponens,[status(thm)],[101, 100])).
% 0.19/0.49 tff(103,plain,
% 0.19/0.49 ((a_select2(sigma_defuse, n3) = use) <=> (a_select2(sigma_defuse, n3) = use)),
% 0.19/0.49 inference(rewrite,[status(thm)],[])).
% 0.19/0.49 tff(104,plain,
% 0.19/0.49 (a_select2(sigma_defuse, n3) = use),
% 0.19/0.49 inference(and_elim,[status(thm)],[43])).
% 0.19/0.49 tff(105,plain,
% 0.19/0.49 (a_select2(sigma_defuse, n3) = use),
% 0.19/0.49 inference(modus_ponens,[status(thm)],[104, 103])).
% 0.19/0.49 tff(106,plain,
% 0.19/0.49 ((a_select2(sigma_defuse, n2) = use) <=> (a_select2(sigma_defuse, n2) = use)),
% 0.19/0.49 inference(rewrite,[status(thm)],[])).
% 0.19/0.49 tff(107,plain,
% 0.19/0.49 (a_select2(sigma_defuse, n2) = use),
% 0.19/0.49 inference(and_elim,[status(thm)],[43])).
% 0.19/0.49 tff(108,plain,
% 0.19/0.49 (a_select2(sigma_defuse, n2) = use),
% 0.19/0.49 inference(modus_ponens,[status(thm)],[107, 106])).
% 0.19/0.49 tff(109,plain,
% 0.19/0.49 ((a_select2(sigma_defuse, n1) = use) <=> (a_select2(sigma_defuse, n1) = use)),
% 0.19/0.49 inference(rewrite,[status(thm)],[])).
% 0.19/0.49 tff(110,plain,
% 0.19/0.49 (a_select2(sigma_defuse, n1) = use),
% 0.19/0.49 inference(and_elim,[status(thm)],[43])).
% 0.19/0.49 tff(111,plain,
% 0.19/0.49 (a_select2(sigma_defuse, n1) = use),
% 0.19/0.49 inference(modus_ponens,[status(thm)],[110, 109])).
% 0.19/0.49 tff(112,plain,
% 0.19/0.49 ((a_select2(sigma_defuse, n0) = use) <=> (a_select2(sigma_defuse, n0) = use)),
% 0.19/0.49 inference(rewrite,[status(thm)],[])).
% 0.19/0.49 tff(113,plain,
% 0.19/0.49 (a_select2(sigma_defuse, n0) = use),
% 0.19/0.49 inference(and_elim,[status(thm)],[43])).
% 0.19/0.49 tff(114,plain,
% 0.19/0.49 (a_select2(sigma_defuse, n0) = use),
% 0.19/0.49 inference(modus_ponens,[status(thm)],[113, 112])).
% 0.19/0.49 tff(115,plain,
% 0.19/0.49 ((a_select2(rho_defuse, n2) = use) <=> (a_select2(rho_defuse, n2) = use)),
% 0.19/0.49 inference(rewrite,[status(thm)],[])).
% 0.19/0.49 tff(116,plain,
% 0.19/0.49 (a_select2(rho_defuse, n2) = use),
% 0.19/0.49 inference(and_elim,[status(thm)],[43])).
% 0.19/0.49 tff(117,plain,
% 0.19/0.49 (a_select2(rho_defuse, n2) = use),
% 0.19/0.49 inference(modus_ponens,[status(thm)],[116, 115])).
% 0.19/0.49 tff(118,plain,
% 0.19/0.49 ((a_select2(rho_defuse, n1) = use) <=> (a_select2(rho_defuse, n1) = use)),
% 0.19/0.49 inference(rewrite,[status(thm)],[])).
% 0.19/0.49 tff(119,plain,
% 0.19/0.49 (a_select2(rho_defuse, n1) = use),
% 0.19/0.49 inference(and_elim,[status(thm)],[43])).
% 0.19/0.49 tff(120,plain,
% 0.19/0.49 (a_select2(rho_defuse, n1) = use),
% 0.19/0.49 inference(modus_ponens,[status(thm)],[119, 118])).
% 0.19/0.49 tff(121,plain,
% 0.19/0.49 ((a_select2(rho_defuse, n0) = use) <=> (a_select2(rho_defuse, n0) = use)),
% 0.19/0.49 inference(rewrite,[status(thm)],[])).
% 0.19/0.49 tff(122,plain,
% 0.19/0.49 (a_select2(rho_defuse, n0) = use),
% 0.19/0.49 inference(and_elim,[status(thm)],[43])).
% 0.19/0.49 tff(123,plain,
% 0.19/0.49 (a_select2(rho_defuse, n0) = use),
% 0.19/0.49 inference(modus_ponens,[status(thm)],[122, 121])).
% 0.19/0.49 tff(124,plain,
% 0.19/0.49 (((~(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, A!14)) | (~leq(n0, B!13)) | (~leq(A!14, n2)) | (~leq(B!13, minus(n0, n1))) | (~((~(a_select3(u_defuse, A!14, B!13) = use)) | (~(a_select3(z_defuse, A!14, B!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, A!14)) | (~leq(n0, B!13)) | (~leq(A!14, n2)) | (~leq(B!13, minus(n0, n1))) | (~((~(a_select3(u_defuse, A!14, B!13) = use)) | (~(a_select3(z_defuse, A!14, B!13) = use)))))))),
% 0.19/0.49 inference(rewrite,[status(thm)],[])).
% 0.19/0.49 tff(125,plain,
% 0.19/0.49 ((~((~(leq(n0, A!14) & leq(n0, B!13) & leq(A!14, n2) & leq(B!13, minus(n0, n1)))) | ((a_select3(u_defuse, A!14, B!13) = use) & (a_select3(z_defuse, A!14, B!13) = use)))) <=> (~((~leq(n0, A!14)) | (~leq(n0, B!13)) | (~leq(A!14, n2)) | (~leq(B!13, minus(n0, n1))) | (~((~(a_select3(u_defuse, A!14, B!13) = use)) | (~(a_select3(z_defuse, A!14, B!13) = use))))))),
% 0.19/0.49 inference(rewrite,[status(thm)],[])).
% 0.19/0.49 tff(126,plain,
% 0.19/0.49 (((~(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, A!14) & leq(n0, B!13) & leq(A!14, n2) & leq(B!13, minus(n0, n1)))) | ((a_select3(u_defuse, A!14, B!13) = use) & (a_select3(z_defuse, A!14, B!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, A!14)) | (~leq(n0, B!13)) | (~leq(A!14, n2)) | (~leq(B!13, minus(n0, n1))) | (~((~(a_select3(u_defuse, A!14, B!13) = use)) | (~(a_select3(z_defuse, A!14, B!13) = use)))))))),
% 0.19/0.49 inference(monotonicity,[status(thm)],[125])).
% 0.19/0.49 tff(127,plain,
% 0.19/0.49 (((~(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, A!14) & leq(n0, B!13) & leq(A!14, n2) & leq(B!13, minus(n0, n1)))) | ((a_select3(u_defuse, A!14, B!13) = use) & (a_select3(z_defuse, A!14, B!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, A!14)) | (~leq(n0, B!13)) | (~leq(A!14, n2)) | (~leq(B!13, minus(n0, n1))) | (~((~(a_select3(u_defuse, A!14, B!13) = use)) | (~(a_select3(z_defuse, A!14, B!13) = use)))))))),
% 0.19/0.50 inference(transitivity,[status(thm)],[126, 124])).
% 0.19/0.50 tff(128,plain,
% 0.19/0.50 (((~(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, A!14) & leq(n0, B!13) & leq(A!14, n2) & leq(B!13, minus(n0, n1)))) | ((a_select3(u_defuse, A!14, B!13) = use) & (a_select3(z_defuse, A!14, B!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, A!14) & leq(n0, B!13) & leq(A!14, n2) & leq(B!13, minus(n0, n1)))) | ((a_select3(u_defuse, A!14, B!13) = use) & (a_select3(z_defuse, A!14, B!13) = use)))))),
% 0.19/0.50 inference(rewrite,[status(thm)],[])).
% 0.19/0.50 tff(129,plain,
% 0.19/0.50 (((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) & ![A: $i, B: $i] : ((~(leq(n0, A) & leq(n0, B) & leq(A, n2) & leq(B, minus(n0, 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) & ![A: $i, B: $i] : ((~(leq(n0, A) & leq(n0, B) & leq(A, n2) & leq(B, minus(n0, n1)))) | ((a_select3(u_defuse, A, B) = use) & (a_select3(z_defuse, A, B) = use))))),
% 0.19/0.50 inference(rewrite,[status(thm)],[])).
% 0.19/0.50 tff(130,plain,
% 0.19/0.50 ((~((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) & ![A: $i, B: $i] : ((~(leq(n0, A) & leq(n0, B) & leq(A, n2) & leq(B, minus(n0, 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) & ![A: $i, B: $i] : ((~(leq(n0, A) & leq(n0, B) & leq(A, n2) & leq(B, minus(n0, n1)))) | ((a_select3(u_defuse, A, B) = use) & (a_select3(z_defuse, A, B) = use)))))),
% 0.19/0.50 inference(monotonicity,[status(thm)],[129])).
% 0.19/0.50 tff(131,plain,
% 0.19/0.50 ((~((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) & ![A: $i, B: $i] : ((~(leq(n0, A) & leq(n0, B) & leq(A, n2) & leq(B, minus(n0, 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) & ![A: $i, B: $i] : ((~(leq(n0, A) & leq(n0, B) & leq(A, n2) & leq(B, minus(n0, n1)))) | ((a_select3(u_defuse, A, B) = use) & (a_select3(z_defuse, A, B) = use)))))),
% 0.19/0.51 inference(rewrite,[status(thm)],[])).
% 0.19/0.51 tff(132,plain,
% 0.19/0.51 (~((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) & ![A: $i, B: $i] : ((~(leq(n0, A) & leq(n0, B) & leq(A, n2) & leq(B, minus(n0, n1)))) | ((a_select3(u_defuse, A, B) = use) & (a_select3(z_defuse, A, B) = use))))),
% 0.19/0.51 inference(or_elim,[status(thm)],[42])).
% 0.19/0.51 tff(133,plain,
% 0.19/0.51 (~((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) & ![A: $i, B: $i] : ((~(leq(n0, A) & leq(n0, B) & leq(A, n2) & leq(B, minus(n0, n1)))) | ((a_select3(u_defuse, A, B) = use) & (a_select3(z_defuse, A, B) = use))))),
% 0.19/0.51 inference(modus_ponens,[status(thm)],[132, 130])).
% 0.19/0.51 tff(134,plain,
% 0.19/0.51 (~((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) & ![A: $i, B: $i] : ((~(leq(n0, A) & leq(n0, B) & leq(A, n2) & leq(B, minus(n0, n1)))) | ((a_select3(u_defuse, A, B) = use) & (a_select3(z_defuse, A, B) = use))))),
% 0.19/0.52 inference(modus_ponens,[status(thm)],[133, 131])).
% 0.19/0.52 tff(135,plain,
% 0.19/0.52 (~((a_select2(rho_defuse, n0) = use) & (a_select2(rho_defuse, n1) = use) & (a_select2(rho_defuse, n2) = use) & (a_select2(sigma_defuse, n0) = use) & (a_select2(sigma_defuse, n1) = use) & (a_select2(sigma_defuse, n2) = use) & (a_select2(sigma_defuse, n3) = use) & (a_select2(sigma_defuse, n4) = use) & (a_select2(sigma_defuse, n5) = use) & (a_select3(u_defuse, n0, n0) = use) & (a_select3(u_defuse, n1, n0) = use) & (a_select3(u_defuse, n2, n0) = use) & (a_select2(xinit_defuse, n3) = use) & (a_select2(xinit_defuse, n4) = use) & (a_select2(xinit_defuse, n5) = use) & (a_select2(xinit_mean_defuse, n0) = use) & (a_select2(xinit_mean_defuse, n1) = use) & (a_select2(xinit_mean_defuse, n2) = use) & (a_select2(xinit_mean_defuse, n3) = use) & (a_select2(xinit_mean_defuse, n4) = use) & (a_select2(xinit_mean_defuse, n5) = use) & (a_select2(xinit_noise_defuse, n0) = use) & (a_select2(xinit_noise_defuse, n1) = use) & (a_select2(xinit_noise_defuse, n2) = use) & (a_select2(xinit_noise_defuse, n3) = use) & (a_select2(xinit_noise_defuse, n4) = use) & (a_select2(xinit_noise_defuse, n5) = use) & ![A: $i, B: $i] : ((~(leq(n0, A) & leq(n0, B) & leq(A, n2) & leq(B, minus(n0, n1)))) | ((a_select3(u_defuse, A, B) = use) & (a_select3(z_defuse, A, B) = use))))),
% 0.19/0.52 inference(modus_ponens,[status(thm)],[134, 130])).
% 0.19/0.52 unexpected number of arguments: (let ((a!1 (~ (not (= (a_select2 rho_defuse n0) use))
% 0.19/0.52 (not (= (a_select2 rho_defuse n0) use))))
% 0.19/0.52 (a!2 (~ (not (= (a_select2 rho_defuse n1) use))
% 0.19/0.52 (not (= (a_select2 rho_defuse n1) use))))
% 0.19/0.52 (a!3 (~ (not (= (a_select2 rho_defuse n2) use))
% 0.19/0.52 (not (= (a_select2 rho_defuse n2) use))))
% 0.19/0.52 (a!4 (~ (not (= (a_select2 sigma_defuse n0) use))
% 0.19/0.52 (not (= (a_select2 sigma_defuse n0) use))))
% 0.19/0.52 (a!5 (~ (not (= (a_select2 sigma_defuse n1) use))
% 0.19/0.52 (not (= (a_select2 sigma_defuse n1) use))))
% 0.19/0.52 (a!6 (~ (not (= (a_select2 sigma_defuse n2) use))
% 0.19/0.52 (not (= (a_select2 sigma_defuse n2) use))))
% 0.19/0.52 (a!7 (~ (not (= (a_select2 sigma_defuse n3) use))
% 0.19/0.52 (not (= (a_select2 sigma_defuse n3) use))))
% 0.19/0.52 (a!8 (~ (not (= (a_select2 sigma_defuse n4) use))
% 0.19/0.52 (not (= (a_select2 sigma_defuse n4) use))))
% 0.19/0.52 (a!9 (~ (not (= (a_select2 sigma_defuse n5) use))
% 0.19/0.52 (not (= (a_select2 sigma_defuse n5) use))))
% 0.19/0.52 (a!10 (~ (not (= (a_select3 u_defuse n0 n0) use))
% 0.19/0.52 (not (= (a_select3 u_defuse n0 n0) use))))
% 0.19/0.52 (a!11 (~ (not (= (a_select3 u_defuse n1 n0) use))
% 0.19/0.52 (not (= (a_select3 u_defuse n1 n0) use))))
% 0.19/0.52 (a!12 (~ (not (= (a_select3 u_defuse n2 n0) use))
% 0.19/0.52 (not (= (a_select3 u_defuse n2 n0) use))))
% 0.19/0.52 (a!13 (~ (not (= (a_select2 xinit_defuse n3) use))
% 0.19/0.52 (not (= (a_select2 xinit_defuse n3) use))))
% 0.19/0.52 (a!14 (~ (not (= (a_select2 xinit_defuse n4) use))
% 0.19/0.52 (not (= (a_select2 xinit_defuse n4) use))))
% 0.19/0.52 (a!15 (~ (not (= (a_select2 xinit_defuse n5) use))
% 0.19/0.52 (not (= (a_select2 xinit_defuse n5) use))))
% 0.19/0.52 (a!16 (~ (not (= (a_select2 xinit_mean_defuse n0) use))
% 0.19/0.52 (not (= (a_select2 xinit_mean_defuse n0) use))))
% 0.19/0.52 (a!17 (~ (not (= (a_select2 xinit_mean_defuse n1) use))
% 0.19/0.52 (not (= (a_select2 xinit_mean_defuse n1) use))))
% 0.19/0.52 (a!18 (~ (not (= (a_select2 xinit_mean_defuse n2) use))
% 0.19/0.52 (not (= (a_select2 xinit_mean_defuse n2) use))))
% 0.19/0.52 (a!19 (~ (not (= (a_select2 xinit_mean_defuse n3) use))
% 0.19/0.52 (not (= (a_select2 xinit_mean_defuse n3) use))))
% 0.19/0.52 (a!20 (~ (not (= (a_select2 xinit_mean_defuse n4) use))
% 0.19/0.52 (not (= (a_select2 xinit_mean_defuse n4) use))))
% 0.19/0.52 (a!21 (~ (not (= (a_select2 xinit_mean_defuse n5) use))
% 0.19/0.52 (not (= (a_select2 xinit_mean_defuse n5) use))))
% 0.19/0.52 (a!22 (~ (not (= (a_select2 xinit_noise_defuse n0) use))
% 0.19/0.52 (not (= (a_select2 xinit_noise_defuse n0) use))))
% 0.19/0.52 (a!23 (~ (not (= (a_select2 xinit_noise_defuse n1) use))
% 0.19/0.52 (not (= (a_select2 xinit_noise_defuse n1) use))))
% 0.19/0.52 (a!24 (~ (not (= (a_select2 xinit_noise_defuse n2) use))
% 0.19/0.52 (not (= (a_select2 xinit_noise_defuse n2) use))))
% 0.19/0.52 (a!25 (~ (not (= (a_select2 xinit_noise_defuse n3) use))
% 0.19/0.52 (not (= (a_select2 xinit_noise_defuse n3) use))))
% 0.19/0.52 (a!26 (~ (not (= (a_select2 xinit_noise_defuse n4) use))
% 0.19/0.52 (not (= (a_select2 xinit_noise_defuse n4) use))))
% 0.19/0.52 (a!27 (~ (not (= (a_select2 xinit_noise_defuse n5) use))
% 0.19/0.52 (not (= (a_select2 xinit_noise_defuse n5) use))))
% 0.19/0.52 (a!28 (forall ((A $i) (B $i))
% 0.19/0.52 (let ((a!1 (not (and (leq n0 A)
% 0.19/0.52 (leq n0 B)
% 0.19/0.52 (leq A n2)
% 0.19/0.52 (leq B (minus n0 n1))))))
% 0.19/0.52 (or a!1
% 0.19/0.52 (and (= (a_select3 u_defuse A B) use)
% 0.19/0.52 (= (a_select3 z_defuse A B) use))))))
% 0.19/0.52 (a!29 (not (and (leq n0 A!14)
% 0.19/0.52 (leq n0 B!13)
% 0.19/0.52 (leq A!14 n2)
% 0.19/0.52 (leq B!13 (minus n0 n1))))))
% 0.19/0.52 (let ((a!30 (or a!29
% 0.19/0.52 (and (= (a_select3 u_defuse A!14 B!13) use)
% 0.19/0.52 (= (a_select3 z_defuse A!14 B!13) use))))
% 0.19/0.52 (a!31 (not (and (= (a_select2 rho_defuse n0) use)
% 0.19/0.52 (= (a_select2 rho_defuse n1) use)
% 0.19/0.52 (= (a_select2 rho_defuse n2) use)
% 0.19/0.52 (= (a_select2 sigma_defuse n0) use)
% 0.19/0.52 (= (a_select2 sigma_defuse n1) use)
% 0.19/0.52 (= (a_select2 sigma_defuse n2) use)
% 0.19/0.52 (= (a_select2 sigma_defuse n3) use)
% 0.19/0.52 (= (a_select2 sigma_defuse n4) use)
% 0.19/0.52 (= (a_select2 sigma_defuse n5) use)
% 0.19/0.52 (= (a_select3 u_defuse n0 n0) use)
% 0.19/0.52 (= (a_select3 u_defuse n1 n0) use)
% 0.19/0.52 (= (a_select3 u_defuse n2 n0) use)
% 0.19/0.52 (= (a_select2 xinit_defuse n3) use)
% 0.19/0.52 (= (a_select2 xinit_defuse n4) use)
% 0.19/0.52 (= (a_select2 xinit_defuse n5) use)
% 0.19/0.52 (= (a_select2 xinit_mean_defuse n0) use)
% 0.19/0.52 (= (a_select2 xinit_mean_defuse n1) use)
% 0.19/0.52 (= (a_select2 xinit_mean_defuse n2) use)
% 0.19/0.52 (= (a_select2 xinit_mean_defuse n3) use)
% 0.19/0.52 (= (a_select2 xinit_mean_defuse n4) use)
% 0.19/0.52 (= (a_select2 xinit_mean_defuse n5) use)
% 0.19/0.52 (= (a_select2 xinit_noise_defuse n0) use)
% 0.19/0.52 (= (a_select2 xinit_noise_defuse n1) use)
% 0.19/0.52 (= (a_select2 xinit_noise_defuse n2) use)
% 0.19/0.52 (= (a_select2 xinit_noise_defuse n3) use)
% 0.19/0.52 (= (a_select2 xinit_noise_defuse n4) use)
% 0.19/0.52 (= (a_select2 xinit_noise_defuse n5) use)
% 0.19/0.52 a!28))))
% 0.19/0.52 (let ((a!32 (or (not (= (a_select2 rho_defuse n0) use))
% 0.19/0.52 (not (= (a_select2 rho_defuse n1) use))
% 0.19/0.52 (not (= (a_select2 rho_defuse n2) use))
% 0.19/0.52 (not (= (a_select2 sigma_defuse n0) use))
% 0.19/0.52 (not (= (a_select2 sigma_defuse n1) use))
% 0.19/0.52 (not (= (a_select2 sigma_defuse n2) use))
% 0.19/0.52 (not (= (a_select2 sigma_defuse n3) use))
% 0.19/0.52 (not (= (a_select2 sigma_defuse n4) use))
% 0.19/0.52 (not (= (a_select2 sigma_defuse n5) use))
% 0.19/0.52 (not (= (a_select3 u_defuse n0 n0) use))
% 0.19/0.52 (not (= (a_select3 u_defuse n1 n0) use))
% 0.19/0.52 (not (= (a_select3 u_defuse n2 n0) use))
% 0.19/0.52 (not (= (a_select2 xinit_defuse n3) use))
% 0.19/0.52 (not (= (a_select2 xinit_defuse n4) use))
% 0.19/0.52 (not (= (a_select2 xinit_defuse n5) use))
% 0.19/0.52 (not (= (a_select2 xinit_mean_defuse n0) use))
% 0.19/0.52 (not (= (a_select2 xinit_mean_defuse n1) use))
% 0.19/0.52 (not (= (a_select2 xinit_mean_defuse n2) use))
% 0.19/0.52 (not (= (a_select2 xinit_mean_defuse n3) use))
% 0.19/0.52 (not (= (a_select2 xinit_mean_defuse n4) use))
% 0.19/0.52 (not (= (a_select2 xinit_mean_defuse n5) use))
% 0.19/0.52 (not (= (a_select2 xinit_noise_defuse n0) use))
% 0.19/0.52 (not (= (a_select2 xinit_noise_defuse n1) use))
% 0.19/0.52 (not (= (a_select2 xinit_noise_defuse n2) use))
% 0.19/0.52 (not (= (a_select2 xinit_noise_defuse n3) use))
% 0.19/0.52 (not (= (a_select2 xinit_noise_defuse n4) use))
% 0.19/0.52 (not (= (a_select2 xinit_noise_defuse n5) use))
% 0.19/0.52 (not a!30))))
% 0.19/0.52 (nnf-neg (refl a!1)
% 0.19/0.52 (refl a!2)
% 0.19/0.52 (refl a!3)
% 0.19/0.52 (refl a!4)
% 0.19/0.52 (refl a!5)
% 0.19/0.52 (refl a!6)
% 0.19/0.52 (refl a!7)
% 0.19/0.52 (refl a!8)
% 0.19/0.52 (refl a!9)
% 0.19/0.52 (refl a!10)
% 0.19/0.52 (refl a!11)
% 0.19/0.52 (refl a!12)
% 0.19/0.52 (refl a!13)
% 0.19/0.52 (refl a!14)
% 0.19/0.52 (refl a!15)
% 0.19/0.52 (refl a!16)
% 0.19/0.52 (refl a!17)
% 0.19/0.52 (refl a!18)
% 0.19/0.52 (refl a!19)
% 0.19/0.52 (refl a!20)
% 0.19/0.52 (refl a!21)
% 0.19/0.52 (refl a!22)
% 0.19/0.52 (refl a!23)
% 0.19/0.52 (refl a!24)
% 0.19/0.52 (refl a!25)
% 0.19/0.52 (refl a!26)
% 0.19/0.52 (refl a!27)
% 0.19/0.52 (sk (~ (not a!28) (not a!30)))
% 0.19/0.52 (~ a!31 a!32)))))
% 0.19/0.52 Proof display could not be completed: unexpected number of arguments
% 0.19/0.52 % E exiting
%------------------------------------------------------------------------------