%------------------------------------------------------------------------------
% File     : Z3---4.8.9.0
% Problem  : SWV093+1 : TPTP v8.1.0. Bugfixed v3.3.0.
% Transfm  : none
% Format   : tptp
% Command  : z3_tptp -proof -model -t:%d -file:%s

% Computer : n021.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Thu Sep 29 15:09:57 EDT 2022

% Result   : Theorem 0.20s 0.51s
% Output   : Assurance 0s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.11  % Problem  : SWV093+1 : TPTP v8.1.0. Bugfixed v3.3.0.
% 0.11/0.12  % Command  : z3_tptp -proof -model -t:%d -file:%s
% 0.13/0.33  % Computer : n021.cluster.edu
% 0.13/0.33  % Model    : x86_64 x86_64
% 0.13/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33  % Memory   : 8042.1875MB
% 0.13/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33  % CPULimit : 300
% 0.13/0.33  % WCLimit  : 300
% 0.13/0.33  % DateTime : Sun Sep  4 01:17:30 EDT 2022
% 0.13/0.33  % CPUTime  : 
% 0.13/0.34  Z3tptp [4.8.9.0] (c) 2006-20**. Microsoft Corp.
% 0.13/0.34  Usage: tptp [options] [-file:]file
% 0.13/0.34    -h, -?       prints this message.
% 0.13/0.34    -smt2        print SMT-LIB2 benchmark.
% 0.13/0.34    -m, -model   generate model.
% 0.13/0.34    -p, -proof   generate proof.
% 0.13/0.34    -c, -core    generate unsat core of named formulas.
% 0.13/0.34    -st, -statistics display statistics.
% 0.13/0.34    -t:timeout   set timeout (in second).
% 0.13/0.34    -smt2status  display status in smt2 format instead of SZS.
% 0.13/0.34    -check_status check the status produced by Z3 against annotation in benchmark.
% 0.13/0.34    -<param>:<value> configuration parameter and value.
% 0.13/0.34    -o:<output-file> file to place output in.
% 0.20/0.51  % SZS status Theorem
% 0.20/0.51  % SZS output start Proof
% 0.20/0.51  tff(a_select3_type, type, (
% 0.20/0.51     a_select3: ( $i * $i * $i ) > $i)).
% 0.20/0.51  tff(succ_type, type, (
% 0.20/0.51     succ: $i > $i)).
% 0.20/0.51  tff(tptp_minus_1_type, type, (
% 0.20/0.51     tptp_minus_1: $i)).
% 0.20/0.51  tff(u_defuse_type, type, (
% 0.20/0.51     u_defuse: $i)).
% 0.20/0.51  tff(tptp_fun_F_13_type, type, (
% 0.20/0.51     tptp_fun_F_13: $i)).
% 0.20/0.51  tff(tptp_fun_E_14_type, type, (
% 0.20/0.51     tptp_fun_E_14: $i)).
% 0.20/0.51  tff(z_defuse_type, type, (
% 0.20/0.51     z_defuse: $i)).
% 0.20/0.51  tff(leq_type, type, (
% 0.20/0.51     leq: ( $i * $i ) > $o)).
% 0.20/0.51  tff(pv5_type, type, (
% 0.20/0.51     pv5: $i)).
% 0.20/0.51  tff(tptp_fun_H_15_type, type, (
% 0.20/0.51     tptp_fun_H_15: $i)).
% 0.20/0.51  tff(tptp_fun_G_16_type, type, (
% 0.20/0.51     tptp_fun_G_16: $i)).
% 0.20/0.51  tff(minus_type, type, (
% 0.20/0.51     minus: ( $i * $i ) > $i)).
% 0.20/0.51  tff(pred_type, type, (
% 0.20/0.51     pred: $i > $i)).
% 0.20/0.51  tff(n1_type, type, (
% 0.20/0.51     n1: $i)).
% 0.20/0.51  tff(gt_type, type, (
% 0.20/0.51     gt: ( $i * $i ) > $o)).
% 0.20/0.51  tff(a_select2_type, type, (
% 0.20/0.51     a_select2: ( $i * $i ) > $i)).
% 0.20/0.51  tff(sigma_defuse_type, type, (
% 0.20/0.51     sigma_defuse: $i)).
% 0.20/0.51  tff(rho_defuse_type, type, (
% 0.20/0.51     rho_defuse: $i)).
% 0.20/0.51  tff(use_type, type, (
% 0.20/0.51     use: $i)).
% 0.20/0.51  tff(n2_type, type, (
% 0.20/0.51     n2: $i)).
% 0.20/0.51  tff(n0_type, type, (
% 0.20/0.51     n0: $i)).
% 0.20/0.51  tff(n6_type, type, (
% 0.20/0.51     n6: $i)).
% 0.20/0.51  tff(pv41_type, type, (
% 0.20/0.51     pv41: $i)).
% 0.20/0.51  tff(n999_type, type, (
% 0.20/0.51     n999: $i)).
% 0.20/0.51  tff(n5_type, type, (
% 0.20/0.51     n5: $i)).
% 0.20/0.51  tff(xinit_noise_defuse_type, type, (
% 0.20/0.51     xinit_noise_defuse: $i)).
% 0.20/0.51  tff(n4_type, type, (
% 0.20/0.51     n4: $i)).
% 0.20/0.51  tff(n3_type, type, (
% 0.20/0.51     n3: $i)).
% 0.20/0.51  tff(xinit_mean_defuse_type, type, (
% 0.20/0.51     xinit_mean_defuse: $i)).
% 0.20/0.51  tff(xinit_defuse_type, type, (
% 0.20/0.51     xinit_defuse: $i)).
% 0.20/0.51  tff(1,plain,
% 0.20/0.51      (^[X: $i] : refl((minus(X, succ(succ(tptp_minus_1))) = pred(X)) <=> (minus(X, succ(succ(tptp_minus_1))) = pred(X)))),
% 0.20/0.51      inference(bind,[status(th)],[])).
% 0.20/0.51  tff(2,plain,
% 0.20/0.51      (![X: $i] : (minus(X, succ(succ(tptp_minus_1))) = pred(X)) <=> ![X: $i] : (minus(X, succ(succ(tptp_minus_1))) = pred(X))),
% 0.20/0.51      inference(quant_intro,[status(thm)],[1])).
% 0.20/0.51  tff(3,plain,
% 0.20/0.51      (^[X: $i] : rewrite((minus(X, n1) = pred(X)) <=> (minus(X, succ(succ(tptp_minus_1))) = pred(X)))),
% 0.20/0.51      inference(bind,[status(th)],[])).
% 0.20/0.51  tff(4,plain,
% 0.20/0.51      (![X: $i] : (minus(X, n1) = pred(X)) <=> ![X: $i] : (minus(X, succ(succ(tptp_minus_1))) = pred(X))),
% 0.20/0.51      inference(quant_intro,[status(thm)],[3])).
% 0.20/0.51  tff(5,plain,
% 0.20/0.51      (![X: $i] : (minus(X, n1) = pred(X)) <=> ![X: $i] : (minus(X, n1) = pred(X))),
% 0.20/0.51      inference(rewrite,[status(thm)],[])).
% 0.20/0.51  tff(6,axiom,(![X: $i] : (minus(X, n1) = pred(X))), file('/export/starexec/sandbox/benchmark/Axioms/SWV003+0.ax','pred_minus_1')).
% 0.20/0.51  tff(7,plain,
% 0.20/0.51      (![X: $i] : (minus(X, n1) = pred(X))),
% 0.20/0.51      inference(modus_ponens,[status(thm)],[6, 5])).
% 0.20/0.51  tff(8,plain,
% 0.20/0.51      (![X: $i] : (minus(X, succ(succ(tptp_minus_1))) = pred(X))),
% 0.20/0.51      inference(modus_ponens,[status(thm)],[7, 4])).
% 0.20/0.51  tff(9,plain,(
% 0.20/0.51      ![X: $i] : (minus(X, succ(succ(tptp_minus_1))) = pred(X))),
% 0.20/0.51      inference(skolemize,[status(sab)],[8])).
% 0.20/0.51  tff(10,plain,
% 0.20/0.51      (![X: $i] : (minus(X, succ(succ(tptp_minus_1))) = pred(X))),
% 0.20/0.51      inference(modus_ponens,[status(thm)],[9, 2])).
% 0.20/0.51  tff(11,plain,
% 0.20/0.51      ((~![X: $i] : (minus(X, succ(succ(tptp_minus_1))) = pred(X))) | (minus(pv5, succ(succ(tptp_minus_1))) = pred(pv5))),
% 0.20/0.51      inference(quant_inst,[status(thm)],[])).
% 0.20/0.51  tff(12,plain,
% 0.20/0.51      (minus(pv5, succ(succ(tptp_minus_1))) = pred(pv5)),
% 0.20/0.51      inference(unit_resolution,[status(thm)],[11, 10])).
% 0.20/0.51  tff(13,plain,
% 0.20/0.51      (pred(pv5) = minus(pv5, succ(succ(tptp_minus_1)))),
% 0.20/0.51      inference(symmetry,[status(thm)],[12])).
% 0.20/0.51  tff(14,plain,
% 0.20/0.51      (leq(H!15, pred(pv5)) <=> leq(H!15, minus(pv5, succ(succ(tptp_minus_1))))),
% 0.20/0.51      inference(monotonicity,[status(thm)],[13])).
% 0.20/0.51  tff(15,plain,
% 0.20/0.51      (leq(H!15, minus(pv5, succ(succ(tptp_minus_1)))) <=> leq(H!15, pred(pv5))),
% 0.20/0.51      inference(symmetry,[status(thm)],[14])).
% 0.20/0.51  tff(16,assumption,(~((~leq(succ(tptp_minus_1), G!16)) | (~leq(succ(tptp_minus_1), H!15)) | (~leq(G!16, succ(succ(succ(tptp_minus_1))))) | (~leq(H!15, minus(pv5, succ(succ(tptp_minus_1))))) | (~((~(a_select3(u_defuse, G!16, H!15) = a_select3(u_defuse, succ(tptp_minus_1), succ(tptp_minus_1)))) | (~(a_select3(z_defuse, G!16, H!15) = a_select3(u_defuse, succ(tptp_minus_1), succ(tptp_minus_1)))))))), introduced(assumption)).
% 0.20/0.51  tff(17,plain,
% 0.20/0.51      (((~leq(succ(tptp_minus_1), G!16)) | (~leq(succ(tptp_minus_1), H!15)) | (~leq(G!16, succ(succ(succ(tptp_minus_1))))) | (~leq(H!15, minus(pv5, succ(succ(tptp_minus_1))))) | (~((~(a_select3(u_defuse, G!16, H!15) = a_select3(u_defuse, succ(tptp_minus_1), succ(tptp_minus_1)))) | (~(a_select3(z_defuse, G!16, H!15) = a_select3(u_defuse, succ(tptp_minus_1), succ(tptp_minus_1))))))) | leq(H!15, minus(pv5, succ(succ(tptp_minus_1))))),
% 0.20/0.51      inference(tautology,[status(thm)],[])).
% 0.20/0.51  tff(18,plain,
% 0.20/0.51      (leq(H!15, minus(pv5, succ(succ(tptp_minus_1))))),
% 0.20/0.51      inference(unit_resolution,[status(thm)],[17, 16])).
% 0.20/0.51  tff(19,plain,
% 0.20/0.51      (leq(H!15, pred(pv5))),
% 0.20/0.51      inference(modus_ponens,[status(thm)],[18, 15])).
% 0.20/0.51  tff(20,plain,
% 0.20/0.51      (![X: $i] : (succ(pred(X)) = X) <=> ![X: $i] : (succ(pred(X)) = X)),
% 0.20/0.51      inference(rewrite,[status(thm)],[])).
% 0.20/0.51  tff(21,plain,
% 0.20/0.51      (![X: $i] : (succ(pred(X)) = X) <=> ![X: $i] : (succ(pred(X)) = X)),
% 0.20/0.51      inference(rewrite,[status(thm)],[])).
% 0.20/0.51  tff(22,axiom,(![X: $i] : (succ(pred(X)) = X)), file('/export/starexec/sandbox/benchmark/Axioms/SWV003+0.ax','succ_pred')).
% 0.20/0.51  tff(23,plain,
% 0.20/0.51      (![X: $i] : (succ(pred(X)) = X)),
% 0.20/0.51      inference(modus_ponens,[status(thm)],[22, 21])).
% 0.20/0.51  tff(24,plain,(
% 0.20/0.51      ![X: $i] : (succ(pred(X)) = X)),
% 0.20/0.51      inference(skolemize,[status(sab)],[23])).
% 0.20/0.51  tff(25,plain,
% 0.20/0.51      (![X: $i] : (succ(pred(X)) = X)),
% 0.20/0.51      inference(modus_ponens,[status(thm)],[24, 20])).
% 0.20/0.51  tff(26,plain,
% 0.20/0.51      ((~![X: $i] : (succ(pred(X)) = X)) | (succ(pred(pv5)) = pv5)),
% 0.20/0.51      inference(quant_inst,[status(thm)],[])).
% 0.20/0.51  tff(27,plain,
% 0.20/0.51      (succ(pred(pv5)) = pv5),
% 0.20/0.51      inference(unit_resolution,[status(thm)],[26, 25])).
% 0.20/0.51  tff(28,plain,
% 0.20/0.51      (gt(succ(pred(pv5)), pred(pv5)) <=> gt(pv5, pred(pv5))),
% 0.20/0.51      inference(monotonicity,[status(thm)],[27])).
% 0.20/0.51  tff(29,plain,
% 0.20/0.51      (^[X: $i] : refl(gt(succ(X), X) <=> gt(succ(X), X))),
% 0.20/0.51      inference(bind,[status(th)],[])).
% 0.20/0.51  tff(30,plain,
% 0.20/0.51      (![X: $i] : gt(succ(X), X) <=> ![X: $i] : gt(succ(X), X)),
% 0.20/0.51      inference(quant_intro,[status(thm)],[29])).
% 0.20/0.51  tff(31,plain,
% 0.20/0.51      (![X: $i] : gt(succ(X), X) <=> ![X: $i] : gt(succ(X), X)),
% 0.20/0.51      inference(rewrite,[status(thm)],[])).
% 0.20/0.51  tff(32,axiom,(![X: $i] : gt(succ(X), X)), file('/export/starexec/sandbox/benchmark/Axioms/SWV003+0.ax','gt_succ')).
% 0.20/0.51  tff(33,plain,
% 0.20/0.51      (![X: $i] : gt(succ(X), X)),
% 0.20/0.51      inference(modus_ponens,[status(thm)],[32, 31])).
% 0.20/0.51  tff(34,plain,(
% 0.20/0.51      ![X: $i] : gt(succ(X), X)),
% 0.20/0.51      inference(skolemize,[status(sab)],[33])).
% 0.20/0.51  tff(35,plain,
% 0.20/0.51      (![X: $i] : gt(succ(X), X)),
% 0.20/0.51      inference(modus_ponens,[status(thm)],[34, 30])).
% 0.20/0.51  tff(36,plain,
% 0.20/0.51      ((~![X: $i] : gt(succ(X), X)) | gt(succ(pred(pv5)), pred(pv5))),
% 0.20/0.51      inference(quant_inst,[status(thm)],[])).
% 0.20/0.51  tff(37,plain,
% 0.20/0.51      (gt(succ(pred(pv5)), pred(pv5))),
% 0.20/0.51      inference(unit_resolution,[status(thm)],[36, 35])).
% 0.20/0.51  tff(38,plain,
% 0.20/0.51      (gt(pv5, pred(pv5))),
% 0.20/0.51      inference(modus_ponens,[status(thm)],[37, 28])).
% 0.20/0.51  tff(39,plain,
% 0.20/0.51      (^[X: $i, Y: $i] : refl(((~gt(Y, X)) | leq(X, Y)) <=> ((~gt(Y, X)) | leq(X, Y)))),
% 0.20/0.51      inference(bind,[status(th)],[])).
% 0.20/0.51  tff(40,plain,
% 0.20/0.51      (![X: $i, Y: $i] : ((~gt(Y, X)) | leq(X, Y)) <=> ![X: $i, Y: $i] : ((~gt(Y, X)) | leq(X, Y))),
% 0.20/0.51      inference(quant_intro,[status(thm)],[39])).
% 0.20/0.51  tff(41,plain,
% 0.20/0.51      (![X: $i, Y: $i] : ((~gt(Y, X)) | leq(X, Y)) <=> ![X: $i, Y: $i] : ((~gt(Y, X)) | leq(X, Y))),
% 0.20/0.51      inference(rewrite,[status(thm)],[])).
% 0.20/0.51  tff(42,plain,
% 0.20/0.51      (^[X: $i, Y: $i] : rewrite((gt(Y, X) => leq(X, Y)) <=> ((~gt(Y, X)) | leq(X, Y)))),
% 0.20/0.51      inference(bind,[status(th)],[])).
% 0.20/0.51  tff(43,plain,
% 0.20/0.51      (![X: $i, Y: $i] : (gt(Y, X) => leq(X, Y)) <=> ![X: $i, Y: $i] : ((~gt(Y, X)) | leq(X, Y))),
% 0.20/0.51      inference(quant_intro,[status(thm)],[42])).
% 0.20/0.51  tff(44,axiom,(![X: $i, Y: $i] : (gt(Y, X) => leq(X, Y))), file('/export/starexec/sandbox/benchmark/Axioms/SWV003+0.ax','leq_gt1')).
% 0.20/0.51  tff(45,plain,
% 0.20/0.51      (![X: $i, Y: $i] : ((~gt(Y, X)) | leq(X, Y))),
% 0.20/0.51      inference(modus_ponens,[status(thm)],[44, 43])).
% 0.20/0.51  tff(46,plain,
% 0.20/0.51      (![X: $i, Y: $i] : ((~gt(Y, X)) | leq(X, Y))),
% 0.20/0.51      inference(modus_ponens,[status(thm)],[45, 41])).
% 0.20/0.51  tff(47,plain,(
% 0.20/0.51      ![X: $i, Y: $i] : ((~gt(Y, X)) | leq(X, Y))),
% 0.20/0.51      inference(skolemize,[status(sab)],[46])).
% 0.20/0.51  tff(48,plain,
% 0.20/0.51      (![X: $i, Y: $i] : ((~gt(Y, X)) | leq(X, Y))),
% 0.20/0.51      inference(modus_ponens,[status(thm)],[47, 40])).
% 0.20/0.51  tff(49,plain,
% 0.20/0.51      (((~![X: $i, Y: $i] : ((~gt(Y, X)) | leq(X, Y))) | ((~gt(pv5, pred(pv5))) | leq(pred(pv5), pv5))) <=> ((~![X: $i, Y: $i] : ((~gt(Y, X)) | leq(X, Y))) | (~gt(pv5, pred(pv5))) | leq(pred(pv5), pv5))),
% 0.20/0.51      inference(rewrite,[status(thm)],[])).
% 0.20/0.51  tff(50,plain,
% 0.20/0.51      ((~![X: $i, Y: $i] : ((~gt(Y, X)) | leq(X, Y))) | ((~gt(pv5, pred(pv5))) | leq(pred(pv5), pv5))),
% 0.20/0.51      inference(quant_inst,[status(thm)],[])).
% 0.20/0.51  tff(51,plain,
% 0.20/0.51      ((~![X: $i, Y: $i] : ((~gt(Y, X)) | leq(X, Y))) | (~gt(pv5, pred(pv5))) | leq(pred(pv5), pv5)),
% 0.20/0.51      inference(modus_ponens,[status(thm)],[50, 49])).
% 0.20/0.51  tff(52,plain,
% 0.20/0.51      (leq(pred(pv5), pv5)),
% 0.20/0.51      inference(unit_resolution,[status(thm)],[51, 48, 38])).
% 0.20/0.51  tff(53,plain,
% 0.20/0.51      (![X: $i, Y: $i, Z: $i] : (leq(X, Z) | (~leq(Y, Z)) | (~leq(X, Y))) <=> ![X: $i, Y: $i, Z: $i] : (leq(X, Z) | (~leq(Y, Z)) | (~leq(X, Y)))),
% 0.20/0.51      inference(rewrite,[status(thm)],[])).
% 0.20/0.51  tff(54,plain,
% 0.20/0.51      (^[X: $i, Y: $i, Z: $i] : trans(monotonicity(trans(monotonicity(rewrite((leq(X, Y) & leq(Y, Z)) <=> (~((~leq(Y, Z)) | (~leq(X, Y))))), ((~(leq(X, Y) & leq(Y, Z))) <=> (~(~((~leq(Y, Z)) | (~leq(X, Y))))))), rewrite((~(~((~leq(Y, Z)) | (~leq(X, Y))))) <=> ((~leq(Y, Z)) | (~leq(X, Y)))), ((~(leq(X, Y) & leq(Y, Z))) <=> ((~leq(Y, Z)) | (~leq(X, Y))))), (((~(leq(X, Y) & leq(Y, Z))) | leq(X, Z)) <=> (((~leq(Y, Z)) | (~leq(X, Y))) | leq(X, Z)))), rewrite((((~leq(Y, Z)) | (~leq(X, Y))) | leq(X, Z)) <=> (leq(X, Z) | (~leq(Y, Z)) | (~leq(X, Y)))), (((~(leq(X, Y) & leq(Y, Z))) | leq(X, Z)) <=> (leq(X, Z) | (~leq(Y, Z)) | (~leq(X, Y)))))),
% 0.20/0.51      inference(bind,[status(th)],[])).
% 0.20/0.51  tff(55,plain,
% 0.20/0.51      (![X: $i, Y: $i, Z: $i] : ((~(leq(X, Y) & leq(Y, Z))) | leq(X, Z)) <=> ![X: $i, Y: $i, Z: $i] : (leq(X, Z) | (~leq(Y, Z)) | (~leq(X, Y)))),
% 0.20/0.51      inference(quant_intro,[status(thm)],[54])).
% 0.20/0.51  tff(56,plain,
% 0.20/0.51      (![X: $i, Y: $i, Z: $i] : ((~(leq(X, Y) & leq(Y, Z))) | leq(X, Z)) <=> ![X: $i, Y: $i, Z: $i] : ((~(leq(X, Y) & leq(Y, Z))) | leq(X, Z))),
% 0.20/0.51      inference(rewrite,[status(thm)],[])).
% 0.20/0.51  tff(57,plain,
% 0.20/0.51      (^[X: $i, Y: $i, Z: $i] : rewrite(((leq(X, Y) & leq(Y, Z)) => leq(X, Z)) <=> ((~(leq(X, Y) & leq(Y, Z))) | leq(X, Z)))),
% 0.20/0.51      inference(bind,[status(th)],[])).
% 0.20/0.51  tff(58,plain,
% 0.20/0.51      (![X: $i, Y: $i, Z: $i] : ((leq(X, Y) & leq(Y, Z)) => leq(X, Z)) <=> ![X: $i, Y: $i, Z: $i] : ((~(leq(X, Y) & leq(Y, Z))) | leq(X, Z))),
% 0.20/0.51      inference(quant_intro,[status(thm)],[57])).
% 0.20/0.51  tff(59,axiom,(![X: $i, Y: $i, Z: $i] : ((leq(X, Y) & leq(Y, Z)) => leq(X, Z))), file('/export/starexec/sandbox/benchmark/Axioms/SWV003+0.ax','transitivity_leq')).
% 0.20/0.51  tff(60,plain,
% 0.20/0.51      (![X: $i, Y: $i, Z: $i] : ((~(leq(X, Y) & leq(Y, Z))) | leq(X, Z))),
% 0.20/0.51      inference(modus_ponens,[status(thm)],[59, 58])).
% 0.20/0.51  tff(61,plain,
% 0.20/0.51      (![X: $i, Y: $i, Z: $i] : ((~(leq(X, Y) & leq(Y, Z))) | leq(X, Z))),
% 0.20/0.51      inference(modus_ponens,[status(thm)],[60, 56])).
% 0.20/0.51  tff(62,plain,(
% 0.20/0.51      ![X: $i, Y: $i, Z: $i] : ((~(leq(X, Y) & leq(Y, Z))) | leq(X, Z))),
% 0.20/0.51      inference(skolemize,[status(sab)],[61])).
% 0.20/0.51  tff(63,plain,
% 0.20/0.51      (![X: $i, Y: $i, Z: $i] : (leq(X, Z) | (~leq(Y, Z)) | (~leq(X, Y)))),
% 0.20/0.51      inference(modus_ponens,[status(thm)],[62, 55])).
% 0.20/0.51  tff(64,plain,
% 0.20/0.51      (![X: $i, Y: $i, Z: $i] : (leq(X, Z) | (~leq(Y, Z)) | (~leq(X, Y)))),
% 0.20/0.51      inference(modus_ponens,[status(thm)],[63, 53])).
% 0.20/0.51  tff(65,plain,
% 0.20/0.51      (((~![X: $i, Y: $i, Z: $i] : (leq(X, Z) | (~leq(Y, Z)) | (~leq(X, Y)))) | ((~leq(pred(pv5), pv5)) | (~leq(H!15, pred(pv5))) | leq(H!15, pv5))) <=> ((~![X: $i, Y: $i, Z: $i] : (leq(X, Z) | (~leq(Y, Z)) | (~leq(X, Y)))) | (~leq(pred(pv5), pv5)) | (~leq(H!15, pred(pv5))) | leq(H!15, pv5))),
% 0.20/0.51      inference(rewrite,[status(thm)],[])).
% 0.20/0.51  tff(66,plain,
% 0.20/0.51      ((leq(H!15, pv5) | (~leq(pred(pv5), pv5)) | (~leq(H!15, pred(pv5)))) <=> ((~leq(pred(pv5), pv5)) | (~leq(H!15, pred(pv5))) | leq(H!15, pv5))),
% 0.20/0.51      inference(rewrite,[status(thm)],[])).
% 0.20/0.51  tff(67,plain,
% 0.20/0.51      (((~![X: $i, Y: $i, Z: $i] : (leq(X, Z) | (~leq(Y, Z)) | (~leq(X, Y)))) | (leq(H!15, pv5) | (~leq(pred(pv5), pv5)) | (~leq(H!15, pred(pv5))))) <=> ((~![X: $i, Y: $i, Z: $i] : (leq(X, Z) | (~leq(Y, Z)) | (~leq(X, Y)))) | ((~leq(pred(pv5), pv5)) | (~leq(H!15, pred(pv5))) | leq(H!15, pv5)))),
% 0.20/0.51      inference(monotonicity,[status(thm)],[66])).
% 0.20/0.51  tff(68,plain,
% 0.20/0.51      (((~![X: $i, Y: $i, Z: $i] : (leq(X, Z) | (~leq(Y, Z)) | (~leq(X, Y)))) | (leq(H!15, pv5) | (~leq(pred(pv5), pv5)) | (~leq(H!15, pred(pv5))))) <=> ((~![X: $i, Y: $i, Z: $i] : (leq(X, Z) | (~leq(Y, Z)) | (~leq(X, Y)))) | (~leq(pred(pv5), pv5)) | (~leq(H!15, pred(pv5))) | leq(H!15, pv5))),
% 0.20/0.51      inference(transitivity,[status(thm)],[67, 65])).
% 0.20/0.51  tff(69,plain,
% 0.20/0.51      ((~![X: $i, Y: $i, Z: $i] : (leq(X, Z) | (~leq(Y, Z)) | (~leq(X, Y)))) | (leq(H!15, pv5) | (~leq(pred(pv5), pv5)) | (~leq(H!15, pred(pv5))))),
% 0.20/0.51      inference(quant_inst,[status(thm)],[])).
% 0.20/0.51  tff(70,plain,
% 0.20/0.51      ((~![X: $i, Y: $i, Z: $i] : (leq(X, Z) | (~leq(Y, Z)) | (~leq(X, Y)))) | (~leq(pred(pv5), pv5)) | (~leq(H!15, pred(pv5))) | leq(H!15, pv5)),
% 0.20/0.51      inference(modus_ponens,[status(thm)],[69, 68])).
% 0.20/0.51  tff(71,plain,
% 0.20/0.51      ((~leq(H!15, pred(pv5))) | leq(H!15, pv5)),
% 0.20/0.51      inference(unit_resolution,[status(thm)],[70, 64, 52])).
% 0.20/0.51  tff(72,plain,
% 0.20/0.51      (leq(H!15, pv5)),
% 0.20/0.51      inference(unit_resolution,[status(thm)],[71, 19])).
% 0.20/0.51  tff(73,plain,
% 0.20/0.51      (((~leq(succ(tptp_minus_1), G!16)) | (~leq(succ(tptp_minus_1), H!15)) | (~leq(G!16, succ(succ(succ(tptp_minus_1))))) | (~leq(H!15, minus(pv5, succ(succ(tptp_minus_1))))) | (~((~(a_select3(u_defuse, G!16, H!15) = a_select3(u_defuse, succ(tptp_minus_1), succ(tptp_minus_1)))) | (~(a_select3(z_defuse, G!16, H!15) = a_select3(u_defuse, succ(tptp_minus_1), succ(tptp_minus_1))))))) | ((~(a_select3(u_defuse, G!16, H!15) = a_select3(u_defuse, succ(tptp_minus_1), succ(tptp_minus_1)))) | (~(a_select3(z_defuse, G!16, H!15) = a_select3(u_defuse, succ(tptp_minus_1), succ(tptp_minus_1)))))),
% 0.20/0.51      inference(tautology,[status(thm)],[])).
% 0.20/0.51  tff(74,plain,
% 0.20/0.51      ((~(a_select3(u_defuse, G!16, H!15) = a_select3(u_defuse, succ(tptp_minus_1), succ(tptp_minus_1)))) | (~(a_select3(z_defuse, G!16, H!15) = a_select3(u_defuse, succ(tptp_minus_1), succ(tptp_minus_1))))),
% 0.20/0.51      inference(unit_resolution,[status(thm)],[73, 16])).
% 0.20/0.51  tff(75,plain,
% 0.20/0.51      (((~leq(succ(tptp_minus_1), G!16)) | (~leq(succ(tptp_minus_1), H!15)) | (~leq(G!16, succ(succ(succ(tptp_minus_1))))) | (~leq(H!15, minus(pv5, succ(succ(tptp_minus_1))))) | (~((~(a_select3(u_defuse, G!16, H!15) = a_select3(u_defuse, succ(tptp_minus_1), succ(tptp_minus_1)))) | (~(a_select3(z_defuse, G!16, H!15) = a_select3(u_defuse, succ(tptp_minus_1), succ(tptp_minus_1))))))) | leq(G!16, succ(succ(succ(tptp_minus_1))))),
% 0.20/0.51      inference(tautology,[status(thm)],[])).
% 0.20/0.51  tff(76,plain,
% 0.20/0.51      (leq(G!16, succ(succ(succ(tptp_minus_1))))),
% 0.20/0.51      inference(unit_resolution,[status(thm)],[75, 16])).
% 0.20/0.51  tff(77,plain,
% 0.20/0.51      (((~leq(succ(tptp_minus_1), G!16)) | (~leq(succ(tptp_minus_1), H!15)) | (~leq(G!16, succ(succ(succ(tptp_minus_1))))) | (~leq(H!15, minus(pv5, succ(succ(tptp_minus_1))))) | (~((~(a_select3(u_defuse, G!16, H!15) = a_select3(u_defuse, succ(tptp_minus_1), succ(tptp_minus_1)))) | (~(a_select3(z_defuse, G!16, H!15) = a_select3(u_defuse, succ(tptp_minus_1), succ(tptp_minus_1))))))) | leq(succ(tptp_minus_1), H!15)),
% 0.20/0.51      inference(tautology,[status(thm)],[])).
% 0.20/0.51  tff(78,plain,
% 0.20/0.51      (leq(succ(tptp_minus_1), H!15)),
% 0.20/0.51      inference(unit_resolution,[status(thm)],[77, 16])).
% 0.20/0.51  tff(79,plain,
% 0.20/0.51      (((~leq(succ(tptp_minus_1), G!16)) | (~leq(succ(tptp_minus_1), H!15)) | (~leq(G!16, succ(succ(succ(tptp_minus_1))))) | (~leq(H!15, minus(pv5, succ(succ(tptp_minus_1))))) | (~((~(a_select3(u_defuse, G!16, H!15) = a_select3(u_defuse, succ(tptp_minus_1), succ(tptp_minus_1)))) | (~(a_select3(z_defuse, G!16, H!15) = a_select3(u_defuse, succ(tptp_minus_1), succ(tptp_minus_1))))))) | leq(succ(tptp_minus_1), G!16)),
% 0.20/0.51      inference(tautology,[status(thm)],[])).
% 0.20/0.51  tff(80,plain,
% 0.20/0.51      (leq(succ(tptp_minus_1), G!16)),
% 0.20/0.51      inference(unit_resolution,[status(thm)],[79, 16])).
% 0.20/0.51  tff(81,plain,
% 0.20/0.51      (^[A: $i, B: $i] : refl(((~leq(succ(tptp_minus_1), A)) | (~leq(succ(tptp_minus_1), B)) | (~leq(A, succ(succ(succ(tptp_minus_1))))) | (~leq(B, pv5)) | (~((~(a_select3(u_defuse, A, B) = a_select3(u_defuse, succ(tptp_minus_1), succ(tptp_minus_1)))) | (~(a_select3(z_defuse, A, B) = a_select3(u_defuse, succ(tptp_minus_1), succ(tptp_minus_1))))))) <=> ((~leq(succ(tptp_minus_1), A)) | (~leq(succ(tptp_minus_1), B)) | (~leq(A, succ(succ(succ(tptp_minus_1))))) | (~leq(B, pv5)) | (~((~(a_select3(u_defuse, A, B) = a_select3(u_defuse, succ(tptp_minus_1), succ(tptp_minus_1)))) | (~(a_select3(z_defuse, A, B) = a_select3(u_defuse, succ(tptp_minus_1), succ(tptp_minus_1))))))))),
% 0.20/0.52      inference(bind,[status(th)],[])).
% 0.20/0.52  tff(82,plain,
% 0.20/0.52      (![A: $i, B: $i] : ((~leq(succ(tptp_minus_1), A)) | (~leq(succ(tptp_minus_1), B)) | (~leq(A, succ(succ(succ(tptp_minus_1))))) | (~leq(B, pv5)) | (~((~(a_select3(u_defuse, A, B) = a_select3(u_defuse, succ(tptp_minus_1), succ(tptp_minus_1)))) | (~(a_select3(z_defuse, A, B) = a_select3(u_defuse, succ(tptp_minus_1), succ(tptp_minus_1))))))) <=> ![A: $i, B: $i] : ((~leq(succ(tptp_minus_1), A)) | (~leq(succ(tptp_minus_1), B)) | (~leq(A, succ(succ(succ(tptp_minus_1))))) | (~leq(B, pv5)) | (~((~(a_select3(u_defuse, A, B) = a_select3(u_defuse, succ(tptp_minus_1), succ(tptp_minus_1)))) | (~(a_select3(z_defuse, A, B) = a_select3(u_defuse, succ(tptp_minus_1), succ(tptp_minus_1)))))))),
% 0.20/0.52      inference(quant_intro,[status(thm)],[81])).
% 0.20/0.52  tff(83,plain,
% 0.20/0.52      (^[A: $i, B: $i] : trans(monotonicity(trans(monotonicity(rewrite((leq(succ(tptp_minus_1), A) & leq(succ(tptp_minus_1), B) & leq(A, succ(succ(succ(tptp_minus_1)))) & leq(B, pv5)) <=> (~((~leq(succ(tptp_minus_1), A)) | (~leq(succ(tptp_minus_1), B)) | (~leq(A, succ(succ(succ(tptp_minus_1))))) | (~leq(B, pv5))))), ((~(leq(succ(tptp_minus_1), A) & leq(succ(tptp_minus_1), B) & leq(A, succ(succ(succ(tptp_minus_1)))) & leq(B, pv5))) <=> (~(~((~leq(succ(tptp_minus_1), A)) | (~leq(succ(tptp_minus_1), B)) | (~leq(A, succ(succ(succ(tptp_minus_1))))) | (~leq(B, pv5))))))), rewrite((~(~((~leq(succ(tptp_minus_1), A)) | (~leq(succ(tptp_minus_1), B)) | (~leq(A, succ(succ(succ(tptp_minus_1))))) | (~leq(B, pv5))))) <=> ((~leq(succ(tptp_minus_1), A)) | (~leq(succ(tptp_minus_1), B)) | (~leq(A, succ(succ(succ(tptp_minus_1))))) | (~leq(B, pv5)))), ((~(leq(succ(tptp_minus_1), A) & leq(succ(tptp_minus_1), B) & leq(A, succ(succ(succ(tptp_minus_1)))) & leq(B, pv5))) <=> ((~leq(succ(tptp_minus_1), A)) | (~leq(succ(tptp_minus_1), B)) | (~leq(A, succ(succ(succ(tptp_minus_1))))) | (~leq(B, pv5))))), rewrite(((a_select3(u_defuse, A, B) = a_select3(u_defuse, succ(tptp_minus_1), succ(tptp_minus_1))) & (a_select3(z_defuse, A, B) = a_select3(u_defuse, succ(tptp_minus_1), succ(tptp_minus_1)))) <=> (~((~(a_select3(u_defuse, A, B) = a_select3(u_defuse, succ(tptp_minus_1), succ(tptp_minus_1)))) | (~(a_select3(z_defuse, A, B) = a_select3(u_defuse, succ(tptp_minus_1), succ(tptp_minus_1))))))), (((~(leq(succ(tptp_minus_1), A) & leq(succ(tptp_minus_1), B) & leq(A, succ(succ(succ(tptp_minus_1)))) & leq(B, pv5))) | ((a_select3(u_defuse, A, B) = a_select3(u_defuse, succ(tptp_minus_1), succ(tptp_minus_1))) & (a_select3(z_defuse, A, B) = a_select3(u_defuse, succ(tptp_minus_1), succ(tptp_minus_1))))) <=> (((~leq(succ(tptp_minus_1), A)) | (~leq(succ(tptp_minus_1), B)) | (~leq(A, succ(succ(succ(tptp_minus_1))))) | (~leq(B, pv5))) | (~((~(a_select3(u_defuse, A, B) = a_select3(u_defuse, succ(tptp_minus_1), succ(tptp_minus_1)))) | (~(a_select3(z_defuse, A, B) = a_select3(u_defuse, succ(tptp_minus_1), succ(tptp_minus_1))))))))), rewrite((((~leq(succ(tptp_minus_1), A)) | (~leq(succ(tptp_minus_1), B)) | (~leq(A, succ(succ(succ(tptp_minus_1))))) | (~leq(B, pv5))) | (~((~(a_select3(u_defuse, A, B) = a_select3(u_defuse, succ(tptp_minus_1), succ(tptp_minus_1)))) | (~(a_select3(z_defuse, A, B) = a_select3(u_defuse, succ(tptp_minus_1), succ(tptp_minus_1))))))) <=> ((~leq(succ(tptp_minus_1), A)) | (~leq(succ(tptp_minus_1), B)) | (~leq(A, succ(succ(succ(tptp_minus_1))))) | (~leq(B, pv5)) | (~((~(a_select3(u_defuse, A, B) = a_select3(u_defuse, succ(tptp_minus_1), succ(tptp_minus_1)))) | (~(a_select3(z_defuse, A, B) = a_select3(u_defuse, succ(tptp_minus_1), succ(tptp_minus_1)))))))), (((~(leq(succ(tptp_minus_1), A) & leq(succ(tptp_minus_1), B) & leq(A, succ(succ(succ(tptp_minus_1)))) & leq(B, pv5))) | ((a_select3(u_defuse, A, B) = a_select3(u_defuse, succ(tptp_minus_1), succ(tptp_minus_1))) & (a_select3(z_defuse, A, B) = a_select3(u_defuse, succ(tptp_minus_1), succ(tptp_minus_1))))) <=> ((~leq(succ(tptp_minus_1), A)) | (~leq(succ(tptp_minus_1), B)) | (~leq(A, succ(succ(succ(tptp_minus_1))))) | (~leq(B, pv5)) | (~((~(a_select3(u_defuse, A, B) = a_select3(u_defuse, succ(tptp_minus_1), succ(tptp_minus_1)))) | (~(a_select3(z_defuse, A, B) = a_select3(u_defuse, succ(tptp_minus_1), succ(tptp_minus_1)))))))))),
% 0.20/0.52      inference(bind,[status(th)],[])).
% 0.20/0.52  tff(84,plain,
% 0.20/0.52      (![A: $i, B: $i] : ((~(leq(succ(tptp_minus_1), A) & leq(succ(tptp_minus_1), B) & leq(A, succ(succ(succ(tptp_minus_1)))) & leq(B, pv5))) | ((a_select3(u_defuse, A, B) = a_select3(u_defuse, succ(tptp_minus_1), succ(tptp_minus_1))) & (a_select3(z_defuse, A, B) = a_select3(u_defuse, succ(tptp_minus_1), succ(tptp_minus_1))))) <=> ![A: $i, B: $i] : ((~leq(succ(tptp_minus_1), A)) | (~leq(succ(tptp_minus_1), B)) | (~leq(A, succ(succ(succ(tptp_minus_1))))) | (~leq(B, pv5)) | (~((~(a_select3(u_defuse, A, B) = a_select3(u_defuse, succ(tptp_minus_1), succ(tptp_minus_1)))) | (~(a_select3(z_defuse, A, B) = a_select3(u_defuse, succ(tptp_minus_1), succ(tptp_minus_1)))))))),
% 0.20/0.52      inference(quant_intro,[status(thm)],[83])).
% 0.20/0.52  tff(85,plain,
% 0.20/0.52      (^[A: $i, B: $i] : rewrite(((~(leq(succ(tptp_minus_1), A) & leq(succ(tptp_minus_1), B) & leq(A, succ(succ(succ(tptp_minus_1)))) & leq(B, pv5))) | ((a_select3(u_defuse, A, B) = a_select2(sigma_defuse, succ(tptp_minus_1))) & (a_select3(z_defuse, A, B) = a_select2(sigma_defuse, succ(tptp_minus_1))))) <=> ((~(leq(succ(tptp_minus_1), A) & leq(succ(tptp_minus_1), B) & leq(A, succ(succ(succ(tptp_minus_1)))) & leq(B, pv5))) | ((a_select3(u_defuse, A, B) = a_select3(u_defuse, succ(tptp_minus_1), succ(tptp_minus_1))) & (a_select3(z_defuse, A, B) = a_select3(u_defuse, succ(tptp_minus_1), succ(tptp_minus_1))))))),
% 0.20/0.52      inference(bind,[status(th)],[])).
% 0.20/0.52  tff(86,plain,
% 0.20/0.52      (![A: $i, B: $i] : ((~(leq(succ(tptp_minus_1), A) & leq(succ(tptp_minus_1), B) & leq(A, succ(succ(succ(tptp_minus_1)))) & leq(B, pv5))) | ((a_select3(u_defuse, A, B) = a_select2(sigma_defuse, succ(tptp_minus_1))) & (a_select3(z_defuse, A, B) = a_select2(sigma_defuse, succ(tptp_minus_1))))) <=> ![A: $i, B: $i] : ((~(leq(succ(tptp_minus_1), A) & leq(succ(tptp_minus_1), B) & leq(A, succ(succ(succ(tptp_minus_1)))) & leq(B, pv5))) | ((a_select3(u_defuse, A, B) = a_select3(u_defuse, succ(tptp_minus_1), succ(tptp_minus_1))) & (a_select3(z_defuse, A, B) = a_select3(u_defuse, succ(tptp_minus_1), succ(tptp_minus_1)))))),
% 0.20/0.52      inference(quant_intro,[status(thm)],[85])).
% 0.20/0.52  tff(87,plain,
% 0.20/0.52      (^[A: $i, B: $i] : rewrite(((~(leq(succ(tptp_minus_1), A) & leq(succ(tptp_minus_1), B) & leq(A, succ(succ(succ(tptp_minus_1)))) & leq(B, pv5))) | ((a_select3(u_defuse, A, B) = a_select2(rho_defuse, succ(tptp_minus_1))) & (a_select3(z_defuse, A, B) = a_select2(rho_defuse, succ(tptp_minus_1))))) <=> ((~(leq(succ(tptp_minus_1), A) & leq(succ(tptp_minus_1), B) & leq(A, succ(succ(succ(tptp_minus_1)))) & leq(B, pv5))) | ((a_select3(u_defuse, A, B) = a_select2(sigma_defuse, succ(tptp_minus_1))) & (a_select3(z_defuse, A, B) = a_select2(sigma_defuse, succ(tptp_minus_1))))))),
% 0.20/0.52      inference(bind,[status(th)],[])).
% 0.20/0.52  tff(88,plain,
% 0.20/0.52      (![A: $i, B: $i] : ((~(leq(succ(tptp_minus_1), A) & leq(succ(tptp_minus_1), B) & leq(A, succ(succ(succ(tptp_minus_1)))) & leq(B, pv5))) | ((a_select3(u_defuse, A, B) = a_select2(rho_defuse, succ(tptp_minus_1))) & (a_select3(z_defuse, A, B) = a_select2(rho_defuse, succ(tptp_minus_1))))) <=> ![A: $i, B: $i] : ((~(leq(succ(tptp_minus_1), A) & leq(succ(tptp_minus_1), B) & leq(A, succ(succ(succ(tptp_minus_1)))) & leq(B, pv5))) | ((a_select3(u_defuse, A, B) = a_select2(sigma_defuse, succ(tptp_minus_1))) & (a_select3(z_defuse, A, B) = a_select2(sigma_defuse, succ(tptp_minus_1)))))),
% 0.20/0.52      inference(quant_intro,[status(thm)],[87])).
% 0.20/0.52  tff(89,plain,
% 0.20/0.52      (^[A: $i, B: $i] : rewrite(((~(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))) <=> ((~(leq(succ(tptp_minus_1), A) & leq(succ(tptp_minus_1), B) & leq(A, succ(succ(succ(tptp_minus_1)))) & leq(B, pv5))) | ((a_select3(u_defuse, A, B) = a_select2(rho_defuse, succ(tptp_minus_1))) & (a_select3(z_defuse, A, B) = a_select2(rho_defuse, succ(tptp_minus_1))))))),
% 0.20/0.52      inference(bind,[status(th)],[])).
% 0.20/0.52  tff(90,plain,
% 0.20/0.52      (![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))) <=> ![A: $i, B: $i] : ((~(leq(succ(tptp_minus_1), A) & leq(succ(tptp_minus_1), B) & leq(A, succ(succ(succ(tptp_minus_1)))) & leq(B, pv5))) | ((a_select3(u_defuse, A, B) = a_select2(rho_defuse, succ(tptp_minus_1))) & (a_select3(z_defuse, A, B) = a_select2(rho_defuse, succ(tptp_minus_1)))))),
% 0.20/0.52      inference(quant_intro,[status(thm)],[89])).
% 0.20/0.52  tff(91,plain,
% 0.20/0.52      (![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))) <=> ![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)))),
% 0.20/0.52      inference(rewrite,[status(thm)],[])).
% 0.20/0.52  tff(92,plain,
% 0.20/0.52      ((~((((((((((((((((((((((((((((((((((a_select2(rho_defuse, n0) = use) & (a_select2(rho_defuse, n1) = use)) & (a_select2(rho_defuse, n2) = use)) & (a_select2(sigma_defuse, n0) = use)) & (a_select2(sigma_defuse, n1) = use)) & (a_select2(sigma_defuse, n2) = use)) & (a_select2(sigma_defuse, n3) = use)) & (a_select2(sigma_defuse, n4) = use)) & (a_select2(sigma_defuse, n5) = use)) & (a_select3(u_defuse, n0, n0) = use)) & (a_select3(u_defuse, n1, n0) = use)) & (a_select3(u_defuse, n2, n0) = use)) & (a_select2(xinit_defuse, n3) = use)) & (a_select2(xinit_defuse, n4) = use)) & (a_select2(xinit_defuse, n5) = use)) & (a_select2(xinit_mean_defuse, n0) = use)) & (a_select2(xinit_mean_defuse, n1) = use)) & (a_select2(xinit_mean_defuse, n2) = use)) & (a_select2(xinit_mean_defuse, n3) = use)) & (a_select2(xinit_mean_defuse, n4) = use)) & (a_select2(xinit_mean_defuse, n5) = use)) & (a_select2(xinit_noise_defuse, n0) = use)) & (a_select2(xinit_noise_defuse, n1) = use)) & (a_select2(xinit_noise_defuse, n2) = use)) & (a_select2(xinit_noise_defuse, n3) = use)) & (a_select2(xinit_noise_defuse, n4) = use)) & (a_select2(xinit_noise_defuse, n5) = use)) & leq(n0, pv5)) & leq(n0, pv41)) & leq(pv5, minus(n999, n1))) & leq(pv41, minus(n6, 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)) & leq(n0, pv5)) & leq(pv5, minus(n999, n1))) & ![E: $i, F: $i] : ((((leq(n0, E) & leq(n0, F)) & leq(E, n2)) & leq(F, pv5)) => ((a_select3(u_defuse, E, F) = use) & (a_select3(z_defuse, E, F) = use)))) & ![G: $i, H: $i] : ((((leq(n0, G) & leq(n0, H)) & leq(G, n2)) & leq(H, minus(pv5, n1))) => ((a_select3(u_defuse, G, H) = use) & (a_select3(z_defuse, G, H) = use)))))) <=> (~((~((a_select2(rho_defuse, n0) = use) & (a_select2(rho_defuse, n1) = use) & (a_select2(rho_defuse, n2) = use) & (a_select2(sigma_defuse, n0) = use) & (a_select2(sigma_defuse, n1) = use) & (a_select2(sigma_defuse, n2) = use) & (a_select2(sigma_defuse, n3) = use) & (a_select2(sigma_defuse, n4) = use) & (a_select2(sigma_defuse, n5) = use) & (a_select3(u_defuse, n0, n0) = use) & (a_select3(u_defuse, n1, n0) = use) & (a_select3(u_defuse, n2, n0) = use) & (a_select2(xinit_defuse, n3) = use) & (a_select2(xinit_defuse, n4) = use) & (a_select2(xinit_defuse, n5) = use) & (a_select2(xinit_mean_defuse, n0) = use) & (a_select2(xinit_mean_defuse, n1) = use) & (a_select2(xinit_mean_defuse, n2) = use) & (a_select2(xinit_mean_defuse, n3) = use) & (a_select2(xinit_mean_defuse, n4) = use) & (a_select2(xinit_mean_defuse, n5) = use) & (a_select2(xinit_noise_defuse, n0) = use) & (a_select2(xinit_noise_defuse, n1) = use) & (a_select2(xinit_noise_defuse, n2) = use) & (a_select2(xinit_noise_defuse, n3) = use) & (a_select2(xinit_noise_defuse, n4) = use) & (a_select2(xinit_noise_defuse, n5) = use) & leq(n0, pv5) & leq(n0, pv41) & leq(pv5, minus(n999, n1)) & leq(pv41, minus(n6, 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) & leq(n0, pv5) & leq(pv5, minus(n999, n1)) & ![E: $i, F: $i] : ((~(leq(n0, E) & leq(n0, F) & leq(E, n2) & leq(F, pv5))) | ((a_select3(u_defuse, E, F) = use) & (a_select3(z_defuse, E, F) = use))) & ![G: $i, H: $i] : ((~(leq(n0, G) & leq(n0, H) & leq(G, n2) & leq(H, minus(pv5, n1)))) | ((a_select3(u_defuse, G, H) = use) & (a_select3(z_defuse, G, H) = use))))))),
% 0.20/0.52      inference(rewrite,[status(thm)],[])).
% 0.20/0.52  tff(93,axiom,(~((((((((((((((((((((((((((((((((((a_select2(rho_defuse, n0) = use) & (a_select2(rho_defuse, n1) = use)) & (a_select2(rho_defuse, n2) = use)) & (a_select2(sigma_defuse, n0) = use)) & (a_select2(sigma_defuse, n1) = use)) & (a_select2(sigma_defuse, n2) = use)) & (a_select2(sigma_defuse, n3) = use)) & (a_select2(sigma_defuse, n4) = use)) & (a_select2(sigma_defuse, n5) = use)) & (a_select3(u_defuse, n0, n0) = use)) & (a_select3(u_defuse, n1, n0) = use)) & (a_select3(u_defuse, n2, n0) = use)) & (a_select2(xinit_defuse, n3) = use)) & (a_select2(xinit_defuse, n4) = use)) & (a_select2(xinit_defuse, n5) = use)) & (a_select2(xinit_mean_defuse, n0) = use)) & (a_select2(xinit_mean_defuse, n1) = use)) & (a_select2(xinit_mean_defuse, n2) = use)) & (a_select2(xinit_mean_defuse, n3) = use)) & (a_select2(xinit_mean_defuse, n4) = use)) & (a_select2(xinit_mean_defuse, n5) = use)) & (a_select2(xinit_noise_defuse, n0) = use)) & (a_select2(xinit_noise_defuse, n1) = use)) & (a_select2(xinit_noise_defuse, n2) = use)) & (a_select2(xinit_noise_defuse, n3) = use)) & (a_select2(xinit_noise_defuse, n4) = use)) & (a_select2(xinit_noise_defuse, n5) = use)) & leq(n0, pv5)) & leq(n0, pv41)) & leq(pv5, minus(n999, n1))) & leq(pv41, minus(n6, 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)) & leq(n0, pv5)) & leq(pv5, minus(n999, n1))) & ![E: $i, F: $i] : ((((leq(n0, E) & leq(n0, F)) & leq(E, n2)) & leq(F, pv5)) => ((a_select3(u_defuse, E, F) = use) & (a_select3(z_defuse, E, F) = use)))) & ![G: $i, H: $i] : ((((leq(n0, G) & leq(n0, H)) & leq(G, n2)) & leq(H, minus(pv5, n1))) => ((a_select3(u_defuse, G, H) = use) & (a_select3(z_defuse, G, H) = use)))))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','quaternion_ds1_inuse_0005')).
% 0.20/0.53  tff(94,plain,
% 0.20/0.53      (~((~((a_select2(rho_defuse, n0) = use) & (a_select2(rho_defuse, n1) = use) & (a_select2(rho_defuse, n2) = use) & (a_select2(sigma_defuse, n0) = use) & (a_select2(sigma_defuse, n1) = use) & (a_select2(sigma_defuse, n2) = use) & (a_select2(sigma_defuse, n3) = use) & (a_select2(sigma_defuse, n4) = use) & (a_select2(sigma_defuse, n5) = use) & (a_select3(u_defuse, n0, n0) = use) & (a_select3(u_defuse, n1, n0) = use) & (a_select3(u_defuse, n2, n0) = use) & (a_select2(xinit_defuse, n3) = use) & (a_select2(xinit_defuse, n4) = use) & (a_select2(xinit_defuse, n5) = use) & (a_select2(xinit_mean_defuse, n0) = use) & (a_select2(xinit_mean_defuse, n1) = use) & (a_select2(xinit_mean_defuse, n2) = use) & (a_select2(xinit_mean_defuse, n3) = use) & (a_select2(xinit_mean_defuse, n4) = use) & (a_select2(xinit_mean_defuse, n5) = use) & (a_select2(xinit_noise_defuse, n0) = use) & (a_select2(xinit_noise_defuse, n1) = use) & (a_select2(xinit_noise_defuse, n2) = use) & (a_select2(xinit_noise_defuse, n3) = use) & (a_select2(xinit_noise_defuse, n4) = use) & (a_select2(xinit_noise_defuse, n5) = use) & leq(n0, pv5) & leq(n0, pv41) & leq(pv5, minus(n999, n1)) & leq(pv41, minus(n6, 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) & leq(n0, pv5) & leq(pv5, minus(n999, n1)) & ![E: $i, F: $i] : ((~(leq(n0, E) & leq(n0, F) & leq(E, n2) & leq(F, pv5))) | ((a_select3(u_defuse, E, F) = use) & (a_select3(z_defuse, E, F) = use))) & ![G: $i, H: $i] : ((~(leq(n0, G) & leq(n0, H) & leq(G, n2) & leq(H, minus(pv5, n1)))) | ((a_select3(u_defuse, G, H) = use) & (a_select3(z_defuse, G, H) = use)))))),
% 0.20/0.53      inference(modus_ponens,[status(thm)],[93, 92])).
% 0.20/0.53  tff(95,plain,
% 0.20/0.53      ((a_select2(rho_defuse, n0) = use) & (a_select2(rho_defuse, n1) = use) & (a_select2(rho_defuse, n2) = use) & (a_select2(sigma_defuse, n0) = use) & (a_select2(sigma_defuse, n1) = use) & (a_select2(sigma_defuse, n2) = use) & (a_select2(sigma_defuse, n3) = use) & (a_select2(sigma_defuse, n4) = use) & (a_select2(sigma_defuse, n5) = use) & (a_select3(u_defuse, n0, n0) = use) & (a_select3(u_defuse, n1, n0) = use) & (a_select3(u_defuse, n2, n0) = use) & (a_select2(xinit_defuse, n3) = use) & (a_select2(xinit_defuse, n4) = use) & (a_select2(xinit_defuse, n5) = use) & (a_select2(xinit_mean_defuse, n0) = use) & (a_select2(xinit_mean_defuse, n1) = use) & (a_select2(xinit_mean_defuse, n2) = use) & (a_select2(xinit_mean_defuse, n3) = use) & (a_select2(xinit_mean_defuse, n4) = use) & (a_select2(xinit_mean_defuse, n5) = use) & (a_select2(xinit_noise_defuse, n0) = use) & (a_select2(xinit_noise_defuse, n1) = use) & (a_select2(xinit_noise_defuse, n2) = use) & (a_select2(xinit_noise_defuse, n3) = use) & (a_select2(xinit_noise_defuse, n4) = use) & (a_select2(xinit_noise_defuse, n5) = use) & leq(n0, pv5) & leq(n0, pv41) & leq(pv5, minus(n999, n1)) & leq(pv41, minus(n6, 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)))),
% 0.20/0.53      inference(or_elim,[status(thm)],[94])).
% 0.20/0.53  tff(96,plain,
% 0.20/0.53      (![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)))),
% 0.20/0.53      inference(and_elim,[status(thm)],[95])).
% 0.20/0.53  tff(97,plain,
% 0.20/0.53      (![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)))),
% 0.20/0.53      inference(modus_ponens,[status(thm)],[96, 91])).
% 0.20/0.53  tff(98,plain,
% 0.20/0.53      (![A: $i, B: $i] : ((~(leq(succ(tptp_minus_1), A) & leq(succ(tptp_minus_1), B) & leq(A, succ(succ(succ(tptp_minus_1)))) & leq(B, pv5))) | ((a_select3(u_defuse, A, B) = a_select2(rho_defuse, succ(tptp_minus_1))) & (a_select3(z_defuse, A, B) = a_select2(rho_defuse, succ(tptp_minus_1)))))),
% 0.20/0.53      inference(modus_ponens,[status(thm)],[97, 90])).
% 0.20/0.53  tff(99,plain,
% 0.20/0.53      (![A: $i, B: $i] : ((~(leq(succ(tptp_minus_1), A) & leq(succ(tptp_minus_1), B) & leq(A, succ(succ(succ(tptp_minus_1)))) & leq(B, pv5))) | ((a_select3(u_defuse, A, B) = a_select2(sigma_defuse, succ(tptp_minus_1))) & (a_select3(z_defuse, A, B) = a_select2(sigma_defuse, succ(tptp_minus_1)))))),
% 0.20/0.53      inference(modus_ponens,[status(thm)],[98, 88])).
% 0.20/0.53  tff(100,plain,
% 0.20/0.53      (![A: $i, B: $i] : ((~(leq(succ(tptp_minus_1), A) & leq(succ(tptp_minus_1), B) & leq(A, succ(succ(succ(tptp_minus_1)))) & leq(B, pv5))) | ((a_select3(u_defuse, A, B) = a_select3(u_defuse, succ(tptp_minus_1), succ(tptp_minus_1))) & (a_select3(z_defuse, A, B) = a_select3(u_defuse, succ(tptp_minus_1), succ(tptp_minus_1)))))),
% 0.20/0.53      inference(modus_ponens,[status(thm)],[99, 86])).
% 0.20/0.53  tff(101,plain,(
% 0.20/0.53      ![A: $i, B: $i] : ((~(leq(succ(tptp_minus_1), A) & leq(succ(tptp_minus_1), B) & leq(A, succ(succ(succ(tptp_minus_1)))) & leq(B, pv5))) | ((a_select3(u_defuse, A, B) = a_select3(u_defuse, succ(tptp_minus_1), succ(tptp_minus_1))) & (a_select3(z_defuse, A, B) = a_select3(u_defuse, succ(tptp_minus_1), succ(tptp_minus_1)))))),
% 0.20/0.53      inference(skolemize,[status(sab)],[100])).
% 0.20/0.53  tff(102,plain,
% 0.20/0.53      (![A: $i, B: $i] : ((~leq(succ(tptp_minus_1), A)) | (~leq(succ(tptp_minus_1), B)) | (~leq(A, succ(succ(succ(tptp_minus_1))))) | (~leq(B, pv5)) | (~((~(a_select3(u_defuse, A, B) = a_select3(u_defuse, succ(tptp_minus_1), succ(tptp_minus_1)))) | (~(a_select3(z_defuse, A, B) = a_select3(u_defuse, succ(tptp_minus_1), succ(tptp_minus_1)))))))),
% 0.20/0.53      inference(modus_ponens,[status(thm)],[101, 84])).
% 0.20/0.53  tff(103,plain,
% 0.20/0.53      (![A: $i, B: $i] : ((~leq(succ(tptp_minus_1), A)) | (~leq(succ(tptp_minus_1), B)) | (~leq(A, succ(succ(succ(tptp_minus_1))))) | (~leq(B, pv5)) | (~((~(a_select3(u_defuse, A, B) = a_select3(u_defuse, succ(tptp_minus_1), succ(tptp_minus_1)))) | (~(a_select3(z_defuse, A, B) = a_select3(u_defuse, succ(tptp_minus_1), succ(tptp_minus_1)))))))),
% 0.20/0.53      inference(modus_ponens,[status(thm)],[102, 82])).
% 0.20/0.53  tff(104,plain,
% 0.20/0.53      (((~![A: $i, B: $i] : ((~leq(succ(tptp_minus_1), A)) | (~leq(succ(tptp_minus_1), B)) | (~leq(A, succ(succ(succ(tptp_minus_1))))) | (~leq(B, pv5)) | (~((~(a_select3(u_defuse, A, B) = a_select3(u_defuse, succ(tptp_minus_1), succ(tptp_minus_1)))) | (~(a_select3(z_defuse, A, B) = a_select3(u_defuse, succ(tptp_minus_1), succ(tptp_minus_1)))))))) | ((~leq(succ(tptp_minus_1), G!16)) | (~leq(succ(tptp_minus_1), H!15)) | (~leq(G!16, succ(succ(succ(tptp_minus_1))))) | (~((~(a_select3(u_defuse, G!16, H!15) = a_select3(u_defuse, succ(tptp_minus_1), succ(tptp_minus_1)))) | (~(a_select3(z_defuse, G!16, H!15) = a_select3(u_defuse, succ(tptp_minus_1), succ(tptp_minus_1)))))) | (~leq(H!15, pv5)))) <=> ((~![A: $i, B: $i] : ((~leq(succ(tptp_minus_1), A)) | (~leq(succ(tptp_minus_1), B)) | (~leq(A, succ(succ(succ(tptp_minus_1))))) | (~leq(B, pv5)) | (~((~(a_select3(u_defuse, A, B) = a_select3(u_defuse, succ(tptp_minus_1), succ(tptp_minus_1)))) | (~(a_select3(z_defuse, A, B) = a_select3(u_defuse, succ(tptp_minus_1), succ(tptp_minus_1)))))))) | (~leq(succ(tptp_minus_1), G!16)) | (~leq(succ(tptp_minus_1), H!15)) | (~leq(G!16, succ(succ(succ(tptp_minus_1))))) | (~((~(a_select3(u_defuse, G!16, H!15) = a_select3(u_defuse, succ(tptp_minus_1), succ(tptp_minus_1)))) | (~(a_select3(z_defuse, G!16, H!15) = a_select3(u_defuse, succ(tptp_minus_1), succ(tptp_minus_1)))))) | (~leq(H!15, pv5)))),
% 0.20/0.53      inference(rewrite,[status(thm)],[])).
% 0.20/0.53  tff(105,plain,
% 0.20/0.53      (((~leq(succ(tptp_minus_1), G!16)) | (~leq(succ(tptp_minus_1), H!15)) | (~leq(G!16, succ(succ(succ(tptp_minus_1))))) | (~leq(H!15, pv5)) | (~((~(a_select3(u_defuse, G!16, H!15) = a_select3(u_defuse, succ(tptp_minus_1), succ(tptp_minus_1)))) | (~(a_select3(z_defuse, G!16, H!15) = a_select3(u_defuse, succ(tptp_minus_1), succ(tptp_minus_1))))))) <=> ((~leq(succ(tptp_minus_1), G!16)) | (~leq(succ(tptp_minus_1), H!15)) | (~leq(G!16, succ(succ(succ(tptp_minus_1))))) | (~((~(a_select3(u_defuse, G!16, H!15) = a_select3(u_defuse, succ(tptp_minus_1), succ(tptp_minus_1)))) | (~(a_select3(z_defuse, G!16, H!15) = a_select3(u_defuse, succ(tptp_minus_1), succ(tptp_minus_1)))))) | (~leq(H!15, pv5)))),
% 0.20/0.53      inference(rewrite,[status(thm)],[])).
% 0.20/0.53  tff(106,plain,
% 0.20/0.53      (((~![A: $i, B: $i] : ((~leq(succ(tptp_minus_1), A)) | (~leq(succ(tptp_minus_1), B)) | (~leq(A, succ(succ(succ(tptp_minus_1))))) | (~leq(B, pv5)) | (~((~(a_select3(u_defuse, A, B) = a_select3(u_defuse, succ(tptp_minus_1), succ(tptp_minus_1)))) | (~(a_select3(z_defuse, A, B) = a_select3(u_defuse, succ(tptp_minus_1), succ(tptp_minus_1)))))))) | ((~leq(succ(tptp_minus_1), G!16)) | (~leq(succ(tptp_minus_1), H!15)) | (~leq(G!16, succ(succ(succ(tptp_minus_1))))) | (~leq(H!15, pv5)) | (~((~(a_select3(u_defuse, G!16, H!15) = a_select3(u_defuse, succ(tptp_minus_1), succ(tptp_minus_1)))) | (~(a_select3(z_defuse, G!16, H!15) = a_select3(u_defuse, succ(tptp_minus_1), succ(tptp_minus_1)))))))) <=> ((~![A: $i, B: $i] : ((~leq(succ(tptp_minus_1), A)) | (~leq(succ(tptp_minus_1), B)) | (~leq(A, succ(succ(succ(tptp_minus_1))))) | (~leq(B, pv5)) | (~((~(a_select3(u_defuse, A, B) = a_select3(u_defuse, succ(tptp_minus_1), succ(tptp_minus_1)))) | (~(a_select3(z_defuse, A, B) = a_select3(u_defuse, succ(tptp_minus_1), succ(tptp_minus_1)))))))) | ((~leq(succ(tptp_minus_1), G!16)) | (~leq(succ(tptp_minus_1), H!15)) | (~leq(G!16, succ(succ(succ(tptp_minus_1))))) | (~((~(a_select3(u_defuse, G!16, H!15) = a_select3(u_defuse, succ(tptp_minus_1), succ(tptp_minus_1)))) | (~(a_select3(z_defuse, G!16, H!15) = a_select3(u_defuse, succ(tptp_minus_1), succ(tptp_minus_1)))))) | (~leq(H!15, pv5))))),
% 0.20/0.54      inference(monotonicity,[status(thm)],[105])).
% 0.20/0.54  tff(107,plain,
% 0.20/0.54      (((~![A: $i, B: $i] : ((~leq(succ(tptp_minus_1), A)) | (~leq(succ(tptp_minus_1), B)) | (~leq(A, succ(succ(succ(tptp_minus_1))))) | (~leq(B, pv5)) | (~((~(a_select3(u_defuse, A, B) = a_select3(u_defuse, succ(tptp_minus_1), succ(tptp_minus_1)))) | (~(a_select3(z_defuse, A, B) = a_select3(u_defuse, succ(tptp_minus_1), succ(tptp_minus_1)))))))) | ((~leq(succ(tptp_minus_1), G!16)) | (~leq(succ(tptp_minus_1), H!15)) | (~leq(G!16, succ(succ(succ(tptp_minus_1))))) | (~leq(H!15, pv5)) | (~((~(a_select3(u_defuse, G!16, H!15) = a_select3(u_defuse, succ(tptp_minus_1), succ(tptp_minus_1)))) | (~(a_select3(z_defuse, G!16, H!15) = a_select3(u_defuse, succ(tptp_minus_1), succ(tptp_minus_1)))))))) <=> ((~![A: $i, B: $i] : ((~leq(succ(tptp_minus_1), A)) | (~leq(succ(tptp_minus_1), B)) | (~leq(A, succ(succ(succ(tptp_minus_1))))) | (~leq(B, pv5)) | (~((~(a_select3(u_defuse, A, B) = a_select3(u_defuse, succ(tptp_minus_1), succ(tptp_minus_1)))) | (~(a_select3(z_defuse, A, B) = a_select3(u_defuse, succ(tptp_minus_1), succ(tptp_minus_1)))))))) | (~leq(succ(tptp_minus_1), G!16)) | (~leq(succ(tptp_minus_1), H!15)) | (~leq(G!16, succ(succ(succ(tptp_minus_1))))) | (~((~(a_select3(u_defuse, G!16, H!15) = a_select3(u_defuse, succ(tptp_minus_1), succ(tptp_minus_1)))) | (~(a_select3(z_defuse, G!16, H!15) = a_select3(u_defuse, succ(tptp_minus_1), succ(tptp_minus_1)))))) | (~leq(H!15, pv5)))),
% 0.20/0.54      inference(transitivity,[status(thm)],[106, 104])).
% 0.20/0.54  tff(108,plain,
% 0.20/0.54      ((~![A: $i, B: $i] : ((~leq(succ(tptp_minus_1), A)) | (~leq(succ(tptp_minus_1), B)) | (~leq(A, succ(succ(succ(tptp_minus_1))))) | (~leq(B, pv5)) | (~((~(a_select3(u_defuse, A, B) = a_select3(u_defuse, succ(tptp_minus_1), succ(tptp_minus_1)))) | (~(a_select3(z_defuse, A, B) = a_select3(u_defuse, succ(tptp_minus_1), succ(tptp_minus_1)))))))) | ((~leq(succ(tptp_minus_1), G!16)) | (~leq(succ(tptp_minus_1), H!15)) | (~leq(G!16, succ(succ(succ(tptp_minus_1))))) | (~leq(H!15, pv5)) | (~((~(a_select3(u_defuse, G!16, H!15) = a_select3(u_defuse, succ(tptp_minus_1), succ(tptp_minus_1)))) | (~(a_select3(z_defuse, G!16, H!15) = a_select3(u_defuse, succ(tptp_minus_1), succ(tptp_minus_1)))))))),
% 0.20/0.54      inference(quant_inst,[status(thm)],[])).
% 0.20/0.54  tff(109,plain,
% 0.20/0.54      ((~![A: $i, B: $i] : ((~leq(succ(tptp_minus_1), A)) | (~leq(succ(tptp_minus_1), B)) | (~leq(A, succ(succ(succ(tptp_minus_1))))) | (~leq(B, pv5)) | (~((~(a_select3(u_defuse, A, B) = a_select3(u_defuse, succ(tptp_minus_1), succ(tptp_minus_1)))) | (~(a_select3(z_defuse, A, B) = a_select3(u_defuse, succ(tptp_minus_1), succ(tptp_minus_1)))))))) | (~leq(succ(tptp_minus_1), G!16)) | (~leq(succ(tptp_minus_1), H!15)) | (~leq(G!16, succ(succ(succ(tptp_minus_1))))) | (~((~(a_select3(u_defuse, G!16, H!15) = a_select3(u_defuse, succ(tptp_minus_1), succ(tptp_minus_1)))) | (~(a_select3(z_defuse, G!16, H!15) = a_select3(u_defuse, succ(tptp_minus_1), succ(tptp_minus_1)))))) | (~leq(H!15, pv5))),
% 0.20/0.54      inference(modus_ponens,[status(thm)],[108, 107])).
% 0.20/0.54  tff(110,plain,
% 0.20/0.54      ($false),
% 0.20/0.54      inference(unit_resolution,[status(thm)],[109, 103, 80, 78, 76, 74, 72])).
% 0.20/0.54  tff(111,plain,((~leq(succ(tptp_minus_1), G!16)) | (~leq(succ(tptp_minus_1), H!15)) | (~leq(G!16, succ(succ(succ(tptp_minus_1))))) | (~leq(H!15, minus(pv5, succ(succ(tptp_minus_1))))) | (~((~(a_select3(u_defuse, G!16, H!15) = a_select3(u_defuse, succ(tptp_minus_1), succ(tptp_minus_1)))) | (~(a_select3(z_defuse, G!16, H!15) = a_select3(u_defuse, succ(tptp_minus_1), succ(tptp_minus_1))))))), inference(lemma,lemma(discharge,[]))).
% 0.20/0.54  tff(112,plain,
% 0.20/0.54      (((~((~(leq(succ(tptp_minus_1), E!14) & leq(succ(tptp_minus_1), F!13) & leq(E!14, succ(succ(succ(tptp_minus_1)))) & leq(F!13, pv5))) | ((a_select3(u_defuse, E!14, F!13) = a_select3(u_defuse, succ(tptp_minus_1), succ(tptp_minus_1))) & (a_select3(z_defuse, E!14, F!13) = a_select3(u_defuse, succ(tptp_minus_1), succ(tptp_minus_1)))))) | (~((~(leq(succ(tptp_minus_1), G!16) & leq(succ(tptp_minus_1), H!15) & leq(G!16, succ(succ(succ(tptp_minus_1)))) & leq(H!15, minus(pv5, succ(succ(tptp_minus_1)))))) | ((a_select3(u_defuse, G!16, H!15) = a_select3(u_defuse, succ(tptp_minus_1), succ(tptp_minus_1))) & (a_select3(z_defuse, G!16, H!15) = a_select3(u_defuse, succ(tptp_minus_1), succ(tptp_minus_1))))))) <=> ((~((~leq(succ(tptp_minus_1), E!14)) | (~leq(succ(tptp_minus_1), F!13)) | (~leq(E!14, succ(succ(succ(tptp_minus_1))))) | (~leq(F!13, pv5)) | (~((~(a_select3(u_defuse, E!14, F!13) = a_select3(u_defuse, succ(tptp_minus_1), succ(tptp_minus_1)))) | (~(a_select3(z_defuse, E!14, F!13) = a_select3(u_defuse, succ(tptp_minus_1), succ(tptp_minus_1)))))))) | (~((~leq(succ(tptp_minus_1), G!16)) | (~leq(succ(tptp_minus_1), H!15)) | (~leq(G!16, succ(succ(succ(tptp_minus_1))))) | (~leq(H!15, minus(pv5, succ(succ(tptp_minus_1))))) | (~((~(a_select3(u_defuse, G!16, H!15) = a_select3(u_defuse, succ(tptp_minus_1), succ(tptp_minus_1)))) | (~(a_select3(z_defuse, G!16, H!15) = a_select3(u_defuse, succ(tptp_minus_1), succ(tptp_minus_1)))))))))),
% 0.20/0.54      inference(rewrite,[status(thm)],[])).
% 0.20/0.54  tff(113,plain,
% 0.20/0.54      ((![E: $i, F: $i] : ((~(leq(succ(tptp_minus_1), E) & leq(succ(tptp_minus_1), F) & leq(E, succ(succ(succ(tptp_minus_1)))) & leq(F, pv5))) | ((a_select3(u_defuse, E, F) = a_select3(u_defuse, succ(tptp_minus_1), succ(tptp_minus_1))) & (a_select3(z_defuse, E, F) = a_select3(u_defuse, succ(tptp_minus_1), succ(tptp_minus_1))))) & ![G: $i, H: $i] : ((~(leq(succ(tptp_minus_1), G) & leq(succ(tptp_minus_1), H) & leq(G, succ(succ(succ(tptp_minus_1)))) & leq(H, minus(pv5, succ(succ(tptp_minus_1)))))) | ((a_select3(u_defuse, G, H) = a_select3(u_defuse, succ(tptp_minus_1), succ(tptp_minus_1))) & (a_select3(z_defuse, G, H) = a_select3(u_defuse, succ(tptp_minus_1), succ(tptp_minus_1)))))) <=> (![E: $i, F: $i] : ((~(leq(succ(tptp_minus_1), E) & leq(succ(tptp_minus_1), F) & leq(E, succ(succ(succ(tptp_minus_1)))) & leq(F, pv5))) | ((a_select3(u_defuse, E, F) = a_select3(u_defuse, succ(tptp_minus_1), succ(tptp_minus_1))) & (a_select3(z_defuse, E, F) = a_select3(u_defuse, succ(tptp_minus_1), succ(tptp_minus_1))))) & ![G: $i, H: $i] : ((~(leq(succ(tptp_minus_1), G) & leq(succ(tptp_minus_1), H) & leq(G, succ(succ(succ(tptp_minus_1)))) & leq(H, minus(pv5, succ(succ(tptp_minus_1)))))) | ((a_select3(u_defuse, G, H) = a_select3(u_defuse, succ(tptp_minus_1), succ(tptp_minus_1))) & (a_select3(z_defuse, G, H) = a_select3(u_defuse, succ(tptp_minus_1), succ(tptp_minus_1))))))),
% 0.20/0.54      inference(rewrite,[status(thm)],[])).
% 0.20/0.54  tff(114,plain,
% 0.20/0.54      ((~(![E: $i, F: $i] : ((~(leq(succ(tptp_minus_1), E) & leq(succ(tptp_minus_1), F) & leq(E, succ(succ(succ(tptp_minus_1)))) & leq(F, pv5))) | ((a_select3(u_defuse, E, F) = a_select3(u_defuse, succ(tptp_minus_1), succ(tptp_minus_1))) & (a_select3(z_defuse, E, F) = a_select3(u_defuse, succ(tptp_minus_1), succ(tptp_minus_1))))) & ![G: $i, H: $i] : ((~(leq(succ(tptp_minus_1), G) & leq(succ(tptp_minus_1), H) & leq(G, succ(succ(succ(tptp_minus_1)))) & leq(H, minus(pv5, succ(succ(tptp_minus_1)))))) | ((a_select3(u_defuse, G, H) = a_select3(u_defuse, succ(tptp_minus_1), succ(tptp_minus_1))) & (a_select3(z_defuse, G, H) = a_select3(u_defuse, succ(tptp_minus_1), succ(tptp_minus_1))))))) <=> (~(![E: $i, F: $i] : ((~(leq(succ(tptp_minus_1), E) & leq(succ(tptp_minus_1), F) & leq(E, succ(succ(succ(tptp_minus_1)))) & leq(F, pv5))) | ((a_select3(u_defuse, E, F) = a_select3(u_defuse, succ(tptp_minus_1), succ(tptp_minus_1))) & (a_select3(z_defuse, E, F) = a_select3(u_defuse, succ(tptp_minus_1), succ(tptp_minus_1))))) & ![G: $i, H: $i] : ((~(leq(succ(tptp_minus_1), G) & leq(succ(tptp_minus_1), H) & leq(G, succ(succ(succ(tptp_minus_1)))) & leq(H, minus(pv5, succ(succ(tptp_minus_1)))))) | ((a_select3(u_defuse, G, H) = a_select3(u_defuse, succ(tptp_minus_1), succ(tptp_minus_1))) & (a_select3(z_defuse, G, H) = a_select3(u_defuse, succ(tptp_minus_1), succ(tptp_minus_1)))))))),
% 0.20/0.54      inference(monotonicity,[status(thm)],[113])).
% 0.20/0.54  tff(115,plain,
% 0.20/0.54      ((~(![E: $i, F: $i] : ((~(leq(succ(tptp_minus_1), E) & leq(succ(tptp_minus_1), F) & leq(E, succ(succ(succ(tptp_minus_1)))) & leq(F, pv5))) | ((a_select3(u_defuse, E, F) = a_select2(sigma_defuse, succ(tptp_minus_1))) & (a_select3(z_defuse, E, F) = a_select2(sigma_defuse, succ(tptp_minus_1))))) & ![G: $i, H: $i] : ((~(leq(succ(tptp_minus_1), G) & leq(succ(tptp_minus_1), H) & leq(G, succ(succ(succ(tptp_minus_1)))) & leq(H, minus(pv5, succ(succ(tptp_minus_1)))))) | ((a_select3(u_defuse, G, H) = a_select2(sigma_defuse, succ(tptp_minus_1))) & (a_select3(z_defuse, G, H) = a_select2(sigma_defuse, succ(tptp_minus_1))))))) <=> (~(![E: $i, F: $i] : ((~(leq(succ(tptp_minus_1), E) & leq(succ(tptp_minus_1), F) & leq(E, succ(succ(succ(tptp_minus_1)))) & leq(F, pv5))) | ((a_select3(u_defuse, E, F) = a_select3(u_defuse, succ(tptp_minus_1), succ(tptp_minus_1))) & (a_select3(z_defuse, E, F) = a_select3(u_defuse, succ(tptp_minus_1), succ(tptp_minus_1))))) & ![G: $i, H: $i] : ((~(leq(succ(tptp_minus_1), G) & leq(succ(tptp_minus_1), H) & leq(G, succ(succ(succ(tptp_minus_1)))) & leq(H, minus(pv5, succ(succ(tptp_minus_1)))))) | ((a_select3(u_defuse, G, H) = a_select3(u_defuse, succ(tptp_minus_1), succ(tptp_minus_1))) & (a_select3(z_defuse, G, H) = a_select3(u_defuse, succ(tptp_minus_1), succ(tptp_minus_1)))))))),
% 0.20/0.54      inference(rewrite,[status(thm)],[])).
% 0.20/0.54  tff(116,plain,
% 0.20/0.54      ((![E: $i, F: $i] : ((~(leq(succ(tptp_minus_1), E) & leq(succ(tptp_minus_1), F) & leq(E, succ(succ(succ(tptp_minus_1)))) & leq(F, pv5))) | ((a_select3(u_defuse, E, F) = a_select2(sigma_defuse, succ(tptp_minus_1))) & (a_select3(z_defuse, E, F) = a_select2(sigma_defuse, succ(tptp_minus_1))))) & ![G: $i, H: $i] : ((~(leq(succ(tptp_minus_1), G) & leq(succ(tptp_minus_1), H) & leq(G, succ(succ(succ(tptp_minus_1)))) & leq(H, minus(pv5, succ(succ(tptp_minus_1)))))) | ((a_select3(u_defuse, G, H) = a_select2(sigma_defuse, succ(tptp_minus_1))) & (a_select3(z_defuse, G, H) = a_select2(sigma_defuse, succ(tptp_minus_1)))))) <=> (![E: $i, F: $i] : ((~(leq(succ(tptp_minus_1), E) & leq(succ(tptp_minus_1), F) & leq(E, succ(succ(succ(tptp_minus_1)))) & leq(F, pv5))) | ((a_select3(u_defuse, E, F) = a_select2(sigma_defuse, succ(tptp_minus_1))) & (a_select3(z_defuse, E, F) = a_select2(sigma_defuse, succ(tptp_minus_1))))) & ![G: $i, H: $i] : ((~(leq(succ(tptp_minus_1), G) & leq(succ(tptp_minus_1), H) & leq(G, succ(succ(succ(tptp_minus_1)))) & leq(H, minus(pv5, succ(succ(tptp_minus_1)))))) | ((a_select3(u_defuse, G, H) = a_select2(sigma_defuse, succ(tptp_minus_1))) & (a_select3(z_defuse, G, H) = a_select2(sigma_defuse, succ(tptp_minus_1))))))),
% 0.20/0.54      inference(rewrite,[status(thm)],[])).
% 0.20/0.54  tff(117,plain,
% 0.20/0.54      ((~(![E: $i, F: $i] : ((~(leq(succ(tptp_minus_1), E) & leq(succ(tptp_minus_1), F) & leq(E, succ(succ(succ(tptp_minus_1)))) & leq(F, pv5))) | ((a_select3(u_defuse, E, F) = a_select2(sigma_defuse, succ(tptp_minus_1))) & (a_select3(z_defuse, E, F) = a_select2(sigma_defuse, succ(tptp_minus_1))))) & ![G: $i, H: $i] : ((~(leq(succ(tptp_minus_1), G) & leq(succ(tptp_minus_1), H) & leq(G, succ(succ(succ(tptp_minus_1)))) & leq(H, minus(pv5, succ(succ(tptp_minus_1)))))) | ((a_select3(u_defuse, G, H) = a_select2(sigma_defuse, succ(tptp_minus_1))) & (a_select3(z_defuse, G, H) = a_select2(sigma_defuse, succ(tptp_minus_1))))))) <=> (~(![E: $i, F: $i] : ((~(leq(succ(tptp_minus_1), E) & leq(succ(tptp_minus_1), F) & leq(E, succ(succ(succ(tptp_minus_1)))) & leq(F, pv5))) | ((a_select3(u_defuse, E, F) = a_select2(sigma_defuse, succ(tptp_minus_1))) & (a_select3(z_defuse, E, F) = a_select2(sigma_defuse, succ(tptp_minus_1))))) & ![G: $i, H: $i] : ((~(leq(succ(tptp_minus_1), G) & leq(succ(tptp_minus_1), H) & leq(G, succ(succ(succ(tptp_minus_1)))) & leq(H, minus(pv5, succ(succ(tptp_minus_1)))))) | ((a_select3(u_defuse, G, H) = a_select2(sigma_defuse, succ(tptp_minus_1))) & (a_select3(z_defuse, G, H) = a_select2(sigma_defuse, succ(tptp_minus_1)))))))),
% 0.20/0.54      inference(monotonicity,[status(thm)],[116])).
% 0.20/0.54  tff(118,plain,
% 0.20/0.54      ((~(![E: $i, F: $i] : ((~(leq(succ(tptp_minus_1), E) & leq(succ(tptp_minus_1), F) & leq(E, succ(succ(succ(tptp_minus_1)))) & leq(F, pv5))) | ((a_select3(u_defuse, E, F) = a_select2(rho_defuse, succ(tptp_minus_1))) & (a_select3(z_defuse, E, F) = a_select2(rho_defuse, succ(tptp_minus_1))))) & ![G: $i, H: $i] : ((~(leq(succ(tptp_minus_1), G) & leq(succ(tptp_minus_1), H) & leq(G, succ(succ(succ(tptp_minus_1)))) & leq(H, minus(pv5, succ(succ(tptp_minus_1)))))) | ((a_select3(u_defuse, G, H) = a_select2(rho_defuse, succ(tptp_minus_1))) & (a_select3(z_defuse, G, H) = a_select2(rho_defuse, succ(tptp_minus_1))))))) <=> (~(![E: $i, F: $i] : ((~(leq(succ(tptp_minus_1), E) & leq(succ(tptp_minus_1), F) & leq(E, succ(succ(succ(tptp_minus_1)))) & leq(F, pv5))) | ((a_select3(u_defuse, E, F) = a_select2(sigma_defuse, succ(tptp_minus_1))) & (a_select3(z_defuse, E, F) = a_select2(sigma_defuse, succ(tptp_minus_1))))) & ![G: $i, H: $i] : ((~(leq(succ(tptp_minus_1), G) & leq(succ(tptp_minus_1), H) & leq(G, succ(succ(succ(tptp_minus_1)))) & leq(H, minus(pv5, succ(succ(tptp_minus_1)))))) | ((a_select3(u_defuse, G, H) = a_select2(sigma_defuse, succ(tptp_minus_1))) & (a_select3(z_defuse, G, H) = a_select2(sigma_defuse, succ(tptp_minus_1)))))))),
% 0.20/0.54      inference(rewrite,[status(thm)],[])).
% 0.20/0.54  tff(119,plain,
% 0.20/0.54      ((![E: $i, F: $i] : ((~(leq(succ(tptp_minus_1), E) & leq(succ(tptp_minus_1), F) & leq(E, succ(succ(succ(tptp_minus_1)))) & leq(F, pv5))) | ((a_select3(u_defuse, E, F) = a_select2(rho_defuse, succ(tptp_minus_1))) & (a_select3(z_defuse, E, F) = a_select2(rho_defuse, succ(tptp_minus_1))))) & ![G: $i, H: $i] : ((~(leq(succ(tptp_minus_1), G) & leq(succ(tptp_minus_1), H) & leq(G, succ(succ(succ(tptp_minus_1)))) & leq(H, minus(pv5, succ(succ(tptp_minus_1)))))) | ((a_select3(u_defuse, G, H) = a_select2(rho_defuse, succ(tptp_minus_1))) & (a_select3(z_defuse, G, H) = a_select2(rho_defuse, succ(tptp_minus_1)))))) <=> (![E: $i, F: $i] : ((~(leq(succ(tptp_minus_1), E) & leq(succ(tptp_minus_1), F) & leq(E, succ(succ(succ(tptp_minus_1)))) & leq(F, pv5))) | ((a_select3(u_defuse, E, F) = a_select2(rho_defuse, succ(tptp_minus_1))) & (a_select3(z_defuse, E, F) = a_select2(rho_defuse, succ(tptp_minus_1))))) & ![G: $i, H: $i] : ((~(leq(succ(tptp_minus_1), G) & leq(succ(tptp_minus_1), H) & leq(G, succ(succ(succ(tptp_minus_1)))) & leq(H, minus(pv5, succ(succ(tptp_minus_1)))))) | ((a_select3(u_defuse, G, H) = a_select2(rho_defuse, succ(tptp_minus_1))) & (a_select3(z_defuse, G, H) = a_select2(rho_defuse, succ(tptp_minus_1))))))),
% 0.20/0.54      inference(rewrite,[status(thm)],[])).
% 0.20/0.54  tff(120,plain,
% 0.20/0.54      ((~(![E: $i, F: $i] : ((~(leq(succ(tptp_minus_1), E) & leq(succ(tptp_minus_1), F) & leq(E, succ(succ(succ(tptp_minus_1)))) & leq(F, pv5))) | ((a_select3(u_defuse, E, F) = a_select2(rho_defuse, succ(tptp_minus_1))) & (a_select3(z_defuse, E, F) = a_select2(rho_defuse, succ(tptp_minus_1))))) & ![G: $i, H: $i] : ((~(leq(succ(tptp_minus_1), G) & leq(succ(tptp_minus_1), H) & leq(G, succ(succ(succ(tptp_minus_1)))) & leq(H, minus(pv5, succ(succ(tptp_minus_1)))))) | ((a_select3(u_defuse, G, H) = a_select2(rho_defuse, succ(tptp_minus_1))) & (a_select3(z_defuse, G, H) = a_select2(rho_defuse, succ(tptp_minus_1))))))) <=> (~(![E: $i, F: $i] : ((~(leq(succ(tptp_minus_1), E) & leq(succ(tptp_minus_1), F) & leq(E, succ(succ(succ(tptp_minus_1)))) & leq(F, pv5))) | ((a_select3(u_defuse, E, F) = a_select2(rho_defuse, succ(tptp_minus_1))) & (a_select3(z_defuse, E, F) = a_select2(rho_defuse, succ(tptp_minus_1))))) & ![G: $i, H: $i] : ((~(leq(succ(tptp_minus_1), G) & leq(succ(tptp_minus_1), H) & leq(G, succ(succ(succ(tptp_minus_1)))) & leq(H, minus(pv5, succ(succ(tptp_minus_1)))))) | ((a_select3(u_defuse, G, H) = a_select2(rho_defuse, succ(tptp_minus_1))) & (a_select3(z_defuse, G, H) = a_select2(rho_defuse, succ(tptp_minus_1)))))))),
% 0.20/0.54      inference(monotonicity,[status(thm)],[119])).
% 0.20/0.54  tff(121,plain,
% 0.20/0.54      ((~(![E: $i, F: $i] : ((~(leq(n0, E) & leq(n0, F) & leq(E, n2) & leq(F, pv5))) | ((a_select3(u_defuse, E, F) = use) & (a_select3(z_defuse, E, F) = use))) & ![G: $i, H: $i] : ((~(leq(n0, G) & leq(n0, H) & leq(G, n2) & leq(H, minus(pv5, n1)))) | ((a_select3(u_defuse, G, H) = use) & (a_select3(z_defuse, G, H) = use))))) <=> (~(![E: $i, F: $i] : ((~(leq(succ(tptp_minus_1), E) & leq(succ(tptp_minus_1), F) & leq(E, succ(succ(succ(tptp_minus_1)))) & leq(F, pv5))) | ((a_select3(u_defuse, E, F) = a_select2(rho_defuse, succ(tptp_minus_1))) & (a_select3(z_defuse, E, F) = a_select2(rho_defuse, succ(tptp_minus_1))))) & ![G: $i, H: $i] : ((~(leq(succ(tptp_minus_1), G) & leq(succ(tptp_minus_1), H) & leq(G, succ(succ(succ(tptp_minus_1)))) & leq(H, minus(pv5, succ(succ(tptp_minus_1)))))) | ((a_select3(u_defuse, G, H) = a_select2(rho_defuse, succ(tptp_minus_1))) & (a_select3(z_defuse, G, H) = a_select2(rho_defuse, succ(tptp_minus_1)))))))),
% 0.20/0.54      inference(rewrite,[status(thm)],[])).
% 0.20/0.54  tff(122,plain,
% 0.20/0.54      ((![E: $i, F: $i] : ((~(leq(n0, E) & leq(n0, F) & leq(E, n2) & leq(F, pv5))) | ((a_select3(u_defuse, E, F) = use) & (a_select3(z_defuse, E, F) = use))) & ![G: $i, H: $i] : ((~(leq(n0, G) & leq(n0, H) & leq(G, n2) & leq(H, minus(pv5, n1)))) | ((a_select3(u_defuse, G, H) = use) & (a_select3(z_defuse, G, H) = use)))) <=> (![E: $i, F: $i] : ((~(leq(n0, E) & leq(n0, F) & leq(E, n2) & leq(F, pv5))) | ((a_select3(u_defuse, E, F) = use) & (a_select3(z_defuse, E, F) = use))) & ![G: $i, H: $i] : ((~(leq(n0, G) & leq(n0, H) & leq(G, n2) & leq(H, minus(pv5, n1)))) | ((a_select3(u_defuse, G, H) = use) & (a_select3(z_defuse, G, H) = use))))),
% 0.20/0.54      inference(rewrite,[status(thm)],[])).
% 0.20/0.54  tff(123,plain,
% 0.20/0.54      ((~(![E: $i, F: $i] : ((~(leq(n0, E) & leq(n0, F) & leq(E, n2) & leq(F, pv5))) | ((a_select3(u_defuse, E, F) = use) & (a_select3(z_defuse, E, F) = use))) & ![G: $i, H: $i] : ((~(leq(n0, G) & leq(n0, H) & leq(G, n2) & leq(H, minus(pv5, n1)))) | ((a_select3(u_defuse, G, H) = use) & (a_select3(z_defuse, G, H) = use))))) <=> (~(![E: $i, F: $i] : ((~(leq(n0, E) & leq(n0, F) & leq(E, n2) & leq(F, pv5))) | ((a_select3(u_defuse, E, F) = use) & (a_select3(z_defuse, E, F) = use))) & ![G: $i, H: $i] : ((~(leq(n0, G) & leq(n0, H) & leq(G, n2) & leq(H, minus(pv5, n1)))) | ((a_select3(u_defuse, G, H) = use) & (a_select3(z_defuse, G, H) = use)))))),
% 0.20/0.54      inference(monotonicity,[status(thm)],[122])).
% 0.20/0.54  tff(124,plain,
% 0.20/0.54      ((~(![E: $i, F: $i] : ((~(leq(n0, E) & leq(n0, F) & leq(E, n2) & leq(F, pv5))) | ((a_select3(u_defuse, E, F) = use) & (a_select3(z_defuse, E, F) = use))) & ![G: $i, H: $i] : ((~(leq(n0, G) & leq(n0, H) & leq(G, n2) & leq(H, minus(pv5, n1)))) | ((a_select3(u_defuse, G, H) = use) & (a_select3(z_defuse, G, H) = use))))) <=> (~(![E: $i, F: $i] : ((~(leq(n0, E) & leq(n0, F) & leq(E, n2) & leq(F, pv5))) | ((a_select3(u_defuse, E, F) = use) & (a_select3(z_defuse, E, F) = use))) & ![G: $i, H: $i] : ((~(leq(n0, G) & leq(n0, H) & leq(G, n2) & leq(H, minus(pv5, n1)))) | ((a_select3(u_defuse, G, H) = use) & (a_select3(z_defuse, G, H) = use)))))),
% 0.20/0.54      inference(rewrite,[status(thm)],[])).
% 0.20/0.54  tff(125,plain,
% 0.20/0.54      ((~((a_select2(rho_defuse, n0) = use) & (a_select2(rho_defuse, n1) = use) & (a_select2(rho_defuse, n2) = use) & (a_select2(sigma_defuse, n0) = use) & (a_select2(sigma_defuse, n1) = use) & (a_select2(sigma_defuse, n2) = use) & (a_select2(sigma_defuse, n3) = use) & (a_select2(sigma_defuse, n4) = use) & (a_select2(sigma_defuse, n5) = use) & (a_select3(u_defuse, n0, n0) = use) & (a_select3(u_defuse, n1, n0) = use) & (a_select3(u_defuse, n2, n0) = use) & (a_select2(xinit_defuse, n3) = use) & (a_select2(xinit_defuse, n4) = use) & (a_select2(xinit_defuse, n5) = use) & (a_select2(xinit_mean_defuse, n0) = use) & (a_select2(xinit_mean_defuse, n1) = use) & (a_select2(xinit_mean_defuse, n2) = use) & (a_select2(xinit_mean_defuse, n3) = use) & (a_select2(xinit_mean_defuse, n4) = use) & (a_select2(xinit_mean_defuse, n5) = use) & (a_select2(xinit_noise_defuse, n0) = use) & (a_select2(xinit_noise_defuse, n1) = use) & (a_select2(xinit_noise_defuse, n2) = use) & (a_select2(xinit_noise_defuse, n3) = use) & (a_select2(xinit_noise_defuse, n4) = use) & (a_select2(xinit_noise_defuse, n5) = use) & leq(n0, pv5) & leq(pv5, minus(n999, n1)) & ![E: $i, F: $i] : ((~(leq(n0, E) & leq(n0, F) & leq(E, n2) & leq(F, pv5))) | ((a_select3(u_defuse, E, F) = use) & (a_select3(z_defuse, E, F) = use))) & ![G: $i, H: $i] : ((~(leq(n0, G) & leq(n0, H) & leq(G, n2) & leq(H, minus(pv5, n1)))) | ((a_select3(u_defuse, G, H) = use) & (a_select3(z_defuse, G, H) = use))))) <=> (~(![E: $i, F: $i] : ((~(leq(n0, E) & leq(n0, F) & leq(E, n2) & leq(F, pv5))) | ((a_select3(u_defuse, E, F) = use) & (a_select3(z_defuse, E, F) = use))) & ![G: $i, H: $i] : ((~(leq(n0, G) & leq(n0, H) & leq(G, n2) & leq(H, minus(pv5, n1)))) | ((a_select3(u_defuse, G, H) = use) & (a_select3(z_defuse, G, H) = use)))))),
% 0.20/0.55      inference(rewrite,[status(thm)],[])).
% 0.20/0.55  tff(126,plain,
% 0.20/0.55      (((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)) & ![E: $i, F: $i] : ((~(leq(n0, E) & leq(n0, F) & leq(E, n2) & leq(F, pv5))) | ((a_select3(u_defuse, E, F) = use) & (a_select3(z_defuse, E, F) = use))) & ![G: $i, H: $i] : ((~(leq(n0, G) & leq(n0, H) & leq(G, n2) & leq(H, minus(pv5, n1)))) | ((a_select3(u_defuse, G, H) = use) & (a_select3(z_defuse, G, H) = 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)) & ![E: $i, F: $i] : ((~(leq(n0, E) & leq(n0, F) & leq(E, n2) & leq(F, pv5))) | ((a_select3(u_defuse, E, F) = use) & (a_select3(z_defuse, E, F) = use))) & ![G: $i, H: $i] : ((~(leq(n0, G) & leq(n0, H) & leq(G, n2) & leq(H, minus(pv5, n1)))) | ((a_select3(u_defuse, G, H) = use) & (a_select3(z_defuse, G, H) = use))))),
% 0.20/0.55      inference(rewrite,[status(thm)],[])).
% 0.20/0.55  tff(127,plain,
% 0.20/0.55      ((~((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)) & ![E: $i, F: $i] : ((~(leq(n0, E) & leq(n0, F) & leq(E, n2) & leq(F, pv5))) | ((a_select3(u_defuse, E, F) = use) & (a_select3(z_defuse, E, F) = use))) & ![G: $i, H: $i] : ((~(leq(n0, G) & leq(n0, H) & leq(G, n2) & leq(H, minus(pv5, n1)))) | ((a_select3(u_defuse, G, H) = use) & (a_select3(z_defuse, G, H) = 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)) & ![E: $i, F: $i] : ((~(leq(n0, E) & leq(n0, F) & leq(E, n2) & leq(F, pv5))) | ((a_select3(u_defuse, E, F) = use) & (a_select3(z_defuse, E, F) = use))) & ![G: $i, H: $i] : ((~(leq(n0, G) & leq(n0, H) & leq(G, n2) & leq(H, minus(pv5, n1)))) | ((a_select3(u_defuse, G, H) = use) & (a_select3(z_defuse, G, H) = use)))))),
% 0.20/0.55      inference(monotonicity,[status(thm)],[126])).
% 0.20/0.55  tff(128,plain,
% 0.20/0.55      (~((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)) & ![E: $i, F: $i] : ((~(leq(n0, E) & leq(n0, F) & leq(E, n2) & leq(F, pv5))) | ((a_select3(u_defuse, E, F) = use) & (a_select3(z_defuse, E, F) = use))) & ![G: $i, H: $i] : ((~(leq(n0, G) & leq(n0, H) & leq(G, n2) & leq(H, minus(pv5, n1)))) | ((a_select3(u_defuse, G, H) = use) & (a_select3(z_defuse, G, H) = use))))),
% 0.20/0.55      inference(or_elim,[status(thm)],[94])).
% 0.20/0.55  tff(129,plain,
% 0.20/0.55      (~((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)) & ![E: $i, F: $i] : ((~(leq(n0, E) & leq(n0, F) & leq(E, n2) & leq(F, pv5))) | ((a_select3(u_defuse, E, F) = use) & (a_select3(z_defuse, E, F) = use))) & ![G: $i, H: $i] : ((~(leq(n0, G) & leq(n0, H) & leq(G, n2) & leq(H, minus(pv5, n1)))) | ((a_select3(u_defuse, G, H) = use) & (a_select3(z_defuse, G, H) = use))))),
% 0.20/0.55      inference(modus_ponens,[status(thm)],[128, 127])).
% 0.20/0.55  tff(130,plain,
% 0.20/0.55      (~(![E: $i, F: $i] : ((~(leq(n0, E) & leq(n0, F) & leq(E, n2) & leq(F, pv5))) | ((a_select3(u_defuse, E, F) = use) & (a_select3(z_defuse, E, F) = use))) & ![G: $i, H: $i] : ((~(leq(n0, G) & leq(n0, H) & leq(G, n2) & leq(H, minus(pv5, n1)))) | ((a_select3(u_defuse, G, H) = use) & (a_select3(z_defuse, G, H) = use))))),
% 0.20/0.55      inference(modus_ponens,[status(thm)],[129, 125])).
% 0.20/0.55  tff(131,plain,
% 0.20/0.55      (~(![E: $i, F: $i] : ((~(leq(n0, E) & leq(n0, F) & leq(E, n2) & leq(F, pv5))) | ((a_select3(u_defuse, E, F) = use) & (a_select3(z_defuse, E, F) = use))) & ![G: $i, H: $i] : ((~(leq(n0, G) & leq(n0, H) & leq(G, n2) & leq(H, minus(pv5, n1)))) | ((a_select3(u_defuse, G, H) = use) & (a_select3(z_defuse, G, H) = use))))),
% 0.20/0.55      inference(modus_ponens,[status(thm)],[130, 124])).
% 0.20/0.55  tff(132,plain,
% 0.20/0.55      (~(![E: $i, F: $i] : ((~(leq(n0, E) & leq(n0, F) & leq(E, n2) & leq(F, pv5))) | ((a_select3(u_defuse, E, F) = use) & (a_select3(z_defuse, E, F) = use))) & ![G: $i, H: $i] : ((~(leq(n0, G) & leq(n0, H) & leq(G, n2) & leq(H, minus(pv5, n1)))) | ((a_select3(u_defuse, G, H) = use) & (a_select3(z_defuse, G, H) = use))))),
% 0.20/0.55      inference(modus_ponens,[status(thm)],[131, 123])).
% 0.20/0.55  tff(133,plain,
% 0.20/0.55      (~(![E: $i, F: $i] : ((~(leq(succ(tptp_minus_1), E) & leq(succ(tptp_minus_1), F) & leq(E, succ(succ(succ(tptp_minus_1)))) & leq(F, pv5))) | ((a_select3(u_defuse, E, F) = a_select2(rho_defuse, succ(tptp_minus_1))) & (a_select3(z_defuse, E, F) = a_select2(rho_defuse, succ(tptp_minus_1))))) & ![G: $i, H: $i] : ((~(leq(succ(tptp_minus_1), G) & leq(succ(tptp_minus_1), H) & leq(G, succ(succ(succ(tptp_minus_1)))) & leq(H, minus(pv5, succ(succ(tptp_minus_1)))))) | ((a_select3(u_defuse, G, H) = a_select2(rho_defuse, succ(tptp_minus_1))) & (a_select3(z_defuse, G, H) = a_select2(rho_defuse, succ(tptp_minus_1))))))),
% 0.20/0.55      inference(modus_ponens,[status(thm)],[132, 121])).
% 0.20/0.55  tff(134,plain,
% 0.20/0.55      (~(![E: $i, F: $i] : ((~(leq(succ(tptp_minus_1), E) & leq(succ(tptp_minus_1), F) & leq(E, succ(succ(succ(tptp_minus_1)))) & leq(F, pv5))) | ((a_select3(u_defuse, E, F) = a_select2(rho_defuse, succ(tptp_minus_1))) & (a_select3(z_defuse, E, F) = a_select2(rho_defuse, succ(tptp_minus_1))))) & ![G: $i, H: $i] : ((~(leq(succ(tptp_minus_1), G) & leq(succ(tptp_minus_1), H) & leq(G, succ(succ(succ(tptp_minus_1)))) & leq(H, minus(pv5, succ(succ(tptp_minus_1)))))) | ((a_select3(u_defuse, G, H) = a_select2(rho_defuse, succ(tptp_minus_1))) & (a_select3(z_defuse, G, H) = a_select2(rho_defuse, succ(tptp_minus_1))))))),
% 0.20/0.56      inference(modus_ponens,[status(thm)],[133, 120])).
% 0.20/0.56  tff(135,plain,
% 0.20/0.56      (~(![E: $i, F: $i] : ((~(leq(succ(tptp_minus_1), E) & leq(succ(tptp_minus_1), F) & leq(E, succ(succ(succ(tptp_minus_1)))) & leq(F, pv5))) | ((a_select3(u_defuse, E, F) = a_select2(sigma_defuse, succ(tptp_minus_1))) & (a_select3(z_defuse, E, F) = a_select2(sigma_defuse, succ(tptp_minus_1))))) & ![G: $i, H: $i] : ((~(leq(succ(tptp_minus_1), G) & leq(succ(tptp_minus_1), H) & leq(G, succ(succ(succ(tptp_minus_1)))) & leq(H, minus(pv5, succ(succ(tptp_minus_1)))))) | ((a_select3(u_defuse, G, H) = a_select2(sigma_defuse, succ(tptp_minus_1))) & (a_select3(z_defuse, G, H) = a_select2(sigma_defuse, succ(tptp_minus_1))))))),
% 0.20/0.56      inference(modus_ponens,[status(thm)],[134, 118])).
% 0.20/0.56  tff(136,plain,
% 0.20/0.56      (~(![E: $i, F: $i] : ((~(leq(succ(tptp_minus_1), E) & leq(succ(tptp_minus_1), F) & leq(E, succ(succ(succ(tptp_minus_1)))) & leq(F, pv5))) | ((a_select3(u_defuse, E, F) = a_select2(sigma_defuse, succ(tptp_minus_1))) & (a_select3(z_defuse, E, F) = a_select2(sigma_defuse, succ(tptp_minus_1))))) & ![G: $i, H: $i] : ((~(leq(succ(tptp_minus_1), G) & leq(succ(tptp_minus_1), H) & leq(G, succ(succ(succ(tptp_minus_1)))) & leq(H, minus(pv5, succ(succ(tptp_minus_1)))))) | ((a_select3(u_defuse, G, H) = a_select2(sigma_defuse, succ(tptp_minus_1))) & (a_select3(z_defuse, G, H) = a_select2(sigma_defuse, succ(tptp_minus_1))))))),
% 0.20/0.56      inference(modus_ponens,[status(thm)],[135, 117])).
% 0.20/0.56  tff(137,plain,
% 0.20/0.56      (~(![E: $i, F: $i] : ((~(leq(succ(tptp_minus_1), E) & leq(succ(tptp_minus_1), F) & leq(E, succ(succ(succ(tptp_minus_1)))) & leq(F, pv5))) | ((a_select3(u_defuse, E, F) = a_select3(u_defuse, succ(tptp_minus_1), succ(tptp_minus_1))) & (a_select3(z_defuse, E, F) = a_select3(u_defuse, succ(tptp_minus_1), succ(tptp_minus_1))))) & ![G: $i, H: $i] : ((~(leq(succ(tptp_minus_1), G) & leq(succ(tptp_minus_1), H) & leq(G, succ(succ(succ(tptp_minus_1)))) & leq(H, minus(pv5, succ(succ(tptp_minus_1)))))) | ((a_select3(u_defuse, G, H) = a_select3(u_defuse, succ(tptp_minus_1), succ(tptp_minus_1))) & (a_select3(z_defuse, G, H) = a_select3(u_defuse, succ(tptp_minus_1), succ(tptp_minus_1))))))),
% 0.20/0.56      inference(modus_ponens,[status(thm)],[136, 115])).
% 0.20/0.56  tff(138,plain,
% 0.20/0.56      (~(![E: $i, F: $i] : ((~(leq(succ(tptp_minus_1), E) & leq(succ(tptp_minus_1), F) & leq(E, succ(succ(succ(tptp_minus_1)))) & leq(F, pv5))) | ((a_select3(u_defuse, E, F) = a_select3(u_defuse, succ(tptp_minus_1), succ(tptp_minus_1))) & (a_select3(z_defuse, E, F) = a_select3(u_defuse, succ(tptp_minus_1), succ(tptp_minus_1))))) & ![G: $i, H: $i] : ((~(leq(succ(tptp_minus_1), G) & leq(succ(tptp_minus_1), H) & leq(G, succ(succ(succ(tptp_minus_1)))) & leq(H, minus(pv5, succ(succ(tptp_minus_1)))))) | ((a_select3(u_defuse, G, H) = a_select3(u_defuse, succ(tptp_minus_1), succ(tptp_minus_1))) & (a_select3(z_defuse, G, H) = a_select3(u_defuse, succ(tptp_minus_1), succ(tptp_minus_1))))))),
% 0.20/0.56      inference(modus_ponens,[status(thm)],[137, 114])).
% 0.20/0.56  tff(139,plain,
% 0.20/0.56      (~(![E: $i, F: $i] : ((~(leq(succ(tptp_minus_1), E) & leq(succ(tptp_minus_1), F) & leq(E, succ(succ(succ(tptp_minus_1)))) & leq(F, pv5))) | ((a_select3(u_defuse, E, F) = a_select3(u_defuse, succ(tptp_minus_1), succ(tptp_minus_1))) & (a_select3(z_defuse, E, F) = a_select3(u_defuse, succ(tptp_minus_1), succ(tptp_minus_1))))) & ![G: $i, H: $i] : ((~(leq(succ(tptp_minus_1), G) & leq(succ(tptp_minus_1), H) & leq(G, succ(succ(succ(tptp_minus_1)))) & leq(H, minus(pv5, succ(succ(tptp_minus_1)))))) | ((a_select3(u_defuse, G, H) = a_select3(u_defuse, succ(tptp_minus_1), succ(tptp_minus_1))) & (a_select3(z_defuse, G, H) = a_select3(u_defuse, succ(tptp_minus_1), succ(tptp_minus_1))))))),
% 0.20/0.56      inference(modus_ponens,[status(thm)],[138, 114])).
% 0.20/0.56  tff(140,plain,
% 0.20/0.56      (~(![E: $i, F: $i] : ((~(leq(succ(tptp_minus_1), E) & leq(succ(tptp_minus_1), F) & leq(E, succ(succ(succ(tptp_minus_1)))) & leq(F, pv5))) | ((a_select3(u_defuse, E, F) = a_select3(u_defuse, succ(tptp_minus_1), succ(tptp_minus_1))) & (a_select3(z_defuse, E, F) = a_select3(u_defuse, succ(tptp_minus_1), succ(tptp_minus_1))))) & ![G: $i, H: $i] : ((~(leq(succ(tptp_minus_1), G) & leq(succ(tptp_minus_1), H) & leq(G, succ(succ(succ(tptp_minus_1)))) & leq(H, minus(pv5, succ(succ(tptp_minus_1)))))) | ((a_select3(u_defuse, G, H) = a_select3(u_defuse, succ(tptp_minus_1), succ(tptp_minus_1))) & (a_select3(z_defuse, G, H) = a_select3(u_defuse, succ(tptp_minus_1), succ(tptp_minus_1))))))),
% 0.20/0.56      inference(modus_ponens,[status(thm)],[139, 114])).
% 0.20/0.56  unexpected number of arguments: (let ((a!1 (forall ((E $i) (F $i))
% 0.20/0.56               (let ((a!1 (leq E (succ (succ (succ tptp_minus_1)))))
% 0.20/0.56                     (a!3 (and (= (a_select3 u_defuse E F)
% 0.20/0.56                                  (a_select3 u_defuse
% 0.20/0.56                                             (succ tptp_minus_1)
% 0.20/0.56                                             (succ tptp_minus_1)))
% 0.20/0.56                               (= (a_select3 z_defuse E F)
% 0.20/0.56                                  (a_select3 u_defuse
% 0.20/0.56                                             (succ tptp_minus_1)
% 0.20/0.56                                             (succ tptp_minus_1))))))
% 0.20/0.56               (let ((a!2 (not (and (leq (succ tptp_minus_1) E)
% 0.20/0.56                                    (leq (succ tptp_minus_1) F)
% 0.20/0.56                                    a!1
% 0.20/0.56                                    (leq F pv5)))))
% 0.20/0.56                 (or a!2 a!3)))))
% 0.20/0.56        (a!2 (leq E!14 (succ (succ (succ tptp_minus_1)))))
% 0.20/0.56        (a!4 (and (= (a_select3 u_defuse E!14 F!13)
% 0.20/0.56                     (a_select3 u_defuse (succ tptp_minus_1) (succ tptp_minus_1)))
% 0.20/0.56                  (= (a_select3 z_defuse E!14 F!13)
% 0.20/0.56                     (a_select3 u_defuse (succ tptp_minus_1) (succ tptp_minus_1)))))
% 0.20/0.56        (a!6 (forall ((G $i) (H $i))
% 0.20/0.56               (let ((a!1 (leq G (succ (succ (succ tptp_minus_1)))))
% 0.20/0.56                     (a!2 (leq H (minus pv5 (succ (succ tptp_minus_1)))))
% 0.20/0.56                     (a!4 (and (= (a_select3 u_defuse G H)
% 0.20/0.56                                  (a_select3 u_defuse
% 0.20/0.56                                             (succ tptp_minus_1)
% 0.20/0.56                                             (succ tptp_minus_1)))
% 0.20/0.56                               (= (a_select3 z_defuse G H)
% 0.20/0.56                                  (a_select3 u_defuse
% 0.20/0.56                                             (succ tptp_minus_1)
% 0.20/0.56                                             (succ tptp_minus_1))))))
% 0.20/0.56               (let ((a!3 (not (and (leq (succ tptp_minus_1) G)
% 0.20/0.56                                    (leq (succ tptp_minus_1) H)
% 0.20/0.56                                    a!1
% 0.20/0.56                                    a!2))))
% 0.20/0.56                 (or a!3 a!4)))))
% 0.20/0.56        (a!7 (leq G!16 (succ (succ (succ tptp_minus_1)))))
% 0.20/0.56        (a!8 (leq H!15 (minus pv5 (succ (succ tptp_minus_1)))))
% 0.20/0.56        (a!10 (and (= (a_select3 u_defuse G!16 H!15)
% 0.20/0.56                      (a_select3 u_defuse (succ tptp_minus_1) (succ tptp_minus_1)))
% 0.20/0.56                   (= (a_select3 z_defuse G!16 H!15)
% 0.20/0.56                      (a_select3 u_defuse (succ tptp_minus_1) (succ tptp_minus_1))))))
% 0.20/0.56  (let ((a!3 (not (and (leq (succ tptp_minus_1) E!14)
% 0.20/0.56                       (leq (succ tptp_minus_1) F!13)
% 0.20/0.56                       a!2
% 0.20/0.56                       (leq F!13 pv5))))
% 0.20/0.56        (a!9 (not (and (leq (succ tptp_minus_1) G!16)
% 0.20/0.56                       (leq (succ tptp_minus_1) H!15)
% 0.20/0.56                       a!7
% 0.20/0.56                       a!8))))
% 0.20/0.56  (let ((a!5 (sk (~ (not a!1) (not (or a!3 a!4)))))
% 0.20/0.56        (a!11 (sk (~ (not a!6) (not (or a!9 a!10)))))
% 0.20/0.56        (a!12 (~ (not (and a!1 a!6)) (or (not (or a!3 a!4)) (not (or a!9 a!10))))))
% 0.20/0.56    (nnf-neg a!5 a!11 a!12))))
% 0.20/0.56  Proof display could not be completed: unexpected number of arguments
%------------------------------------------------------------------------------