TSTP Solution File: SWV125+1 by Z3---4.8.9.0
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- Process Solution
%------------------------------------------------------------------------------
% File : Z3---4.8.9.0
% Problem : SWV125+1 : TPTP v8.1.0. Bugfixed v3.3.0.
% Transfm : none
% Format : tptp
% Command : z3_tptp -proof -model -t:%d -file:%s
% Computer : n011.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 15:10:04 EDT 2022
% Result : Theorem 0.20s 0.54s
% Output : Proof 0.70s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SWV125+1 : TPTP v8.1.0. Bugfixed v3.3.0.
% 0.07/0.13 % Command : z3_tptp -proof -model -t:%d -file:%s
% 0.13/0.34 % Computer : n011.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Sun Sep 4 01:28:14 EDT 2022
% 0.13/0.34 % 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.
% 0.20/0.54 % SZS status Theorem
% 0.20/0.54 % SZS output start Proof
% 0.20/0.54 tff(leq_type, type, (
% 0.20/0.54 leq: ( $i * $i ) > $o)).
% 0.20/0.54 tff(succ_type, type, (
% 0.20/0.54 succ: $i > $i)).
% 0.20/0.54 tff(tptp_minus_1_type, type, (
% 0.20/0.54 tptp_minus_1: $i)).
% 0.20/0.54 tff(pv21_type, type, (
% 0.20/0.54 pv21: $i)).
% 0.20/0.54 tff(minus_type, type, (
% 0.20/0.54 minus: ( $i * $i ) > $i)).
% 0.20/0.54 tff(pred_type, type, (
% 0.20/0.54 pred: $i > $i)).
% 0.20/0.54 tff(n1_type, type, (
% 0.20/0.54 n1: $i)).
% 0.20/0.54 tff(n588_type, type, (
% 0.20/0.54 n588: $i)).
% 0.20/0.54 tff(pv5_type, type, (
% 0.20/0.54 pv5: $i)).
% 0.20/0.54 tff(gt_type, type, (
% 0.20/0.54 gt: ( $i * $i ) > $o)).
% 0.20/0.54 tff(n1000_type, type, (
% 0.20/0.54 n1000: $i)).
% 0.20/0.54 tff(pv31_type, type, (
% 0.20/0.54 pv31: $i)).
% 0.20/0.54 tff(n7_type, type, (
% 0.20/0.54 n7: $i)).
% 0.20/0.54 tff(n5_type, type, (
% 0.20/0.54 n5: $i)).
% 0.20/0.54 tff(n0_type, type, (
% 0.20/0.54 n0: $i)).
% 0.20/0.54 tff(n6_type, type, (
% 0.20/0.54 n6: $i)).
% 0.20/0.54 tff(n4_type, type, (
% 0.20/0.54 n4: $i)).
% 0.20/0.54 tff(n3_type, type, (
% 0.20/0.54 n3: $i)).
% 0.20/0.54 tff(n2_type, type, (
% 0.20/0.54 n2: $i)).
% 0.20/0.54 tff(geq_type, type, (
% 0.20/0.54 geq: ( $i * $i ) > $o)).
% 0.20/0.54 tff(true_type, type, (
% 0.20/0.54 true: $o)).
% 0.20/0.54 tff(pv23_type, type, (
% 0.20/0.54 pv23: $i)).
% 0.20/0.54 tff(a_select2_type, type, (
% 0.20/0.54 a_select2: ( $i * $i ) > $i)).
% 0.20/0.54 tff(sigma_type, type, (
% 0.20/0.54 sigma: $i)).
% 0.20/0.54 tff(pv32_type, type, (
% 0.20/0.54 pv32: $i)).
% 0.20/0.54 tff(1,plain,
% 0.20/0.54 (![X: $i] : (pred(succ(X)) = X) <=> ![X: $i] : (pred(succ(X)) = X)),
% 0.20/0.54 inference(rewrite,[status(thm)],[])).
% 0.20/0.54 tff(2,plain,
% 0.20/0.54 (![X: $i] : (pred(succ(X)) = X) <=> ![X: $i] : (pred(succ(X)) = X)),
% 0.20/0.54 inference(rewrite,[status(thm)],[])).
% 0.20/0.54 tff(3,axiom,(![X: $i] : (pred(succ(X)) = X)), file('/export/starexec/sandbox/benchmark/Axioms/SWV003+0.ax','pred_succ')).
% 0.20/0.54 tff(4,plain,
% 0.20/0.54 (![X: $i] : (pred(succ(X)) = X)),
% 0.20/0.54 inference(modus_ponens,[status(thm)],[3, 2])).
% 0.20/0.54 tff(5,plain,(
% 0.20/0.54 ![X: $i] : (pred(succ(X)) = X)),
% 0.20/0.54 inference(skolemize,[status(sab)],[4])).
% 0.20/0.54 tff(6,plain,
% 0.20/0.54 (![X: $i] : (pred(succ(X)) = X)),
% 0.20/0.54 inference(modus_ponens,[status(thm)],[5, 1])).
% 0.20/0.54 tff(7,plain,
% 0.20/0.54 ((~![X: $i] : (pred(succ(X)) = X)) | (pred(succ(succ(succ(succ(succ(succ(succ(tptp_minus_1)))))))) = succ(succ(succ(succ(succ(succ(tptp_minus_1)))))))),
% 0.20/0.54 inference(quant_inst,[status(thm)],[])).
% 0.20/0.54 tff(8,plain,
% 0.20/0.54 (pred(succ(succ(succ(succ(succ(succ(succ(tptp_minus_1)))))))) = succ(succ(succ(succ(succ(succ(tptp_minus_1))))))),
% 0.20/0.54 inference(unit_resolution,[status(thm)],[7, 6])).
% 0.20/0.54 tff(9,plain,
% 0.20/0.54 (^[X: $i] : refl((minus(X, succ(succ(tptp_minus_1))) = pred(X)) <=> (minus(X, succ(succ(tptp_minus_1))) = pred(X)))),
% 0.20/0.54 inference(bind,[status(th)],[])).
% 0.20/0.54 tff(10,plain,
% 0.20/0.54 (![X: $i] : (minus(X, succ(succ(tptp_minus_1))) = pred(X)) <=> ![X: $i] : (minus(X, succ(succ(tptp_minus_1))) = pred(X))),
% 0.20/0.54 inference(quant_intro,[status(thm)],[9])).
% 0.20/0.54 tff(11,plain,
% 0.20/0.54 (^[X: $i] : rewrite((minus(X, n1) = pred(X)) <=> (minus(X, succ(succ(tptp_minus_1))) = pred(X)))),
% 0.20/0.54 inference(bind,[status(th)],[])).
% 0.20/0.54 tff(12,plain,
% 0.20/0.54 (![X: $i] : (minus(X, n1) = pred(X)) <=> ![X: $i] : (minus(X, succ(succ(tptp_minus_1))) = pred(X))),
% 0.20/0.54 inference(quant_intro,[status(thm)],[11])).
% 0.20/0.54 tff(13,plain,
% 0.20/0.54 (![X: $i] : (minus(X, n1) = pred(X)) <=> ![X: $i] : (minus(X, n1) = pred(X))),
% 0.20/0.54 inference(rewrite,[status(thm)],[])).
% 0.20/0.54 tff(14,axiom,(![X: $i] : (minus(X, n1) = pred(X))), file('/export/starexec/sandbox/benchmark/Axioms/SWV003+0.ax','pred_minus_1')).
% 0.20/0.54 tff(15,plain,
% 0.20/0.54 (![X: $i] : (minus(X, n1) = pred(X))),
% 0.20/0.54 inference(modus_ponens,[status(thm)],[14, 13])).
% 0.20/0.54 tff(16,plain,
% 0.20/0.54 (![X: $i] : (minus(X, succ(succ(tptp_minus_1))) = pred(X))),
% 0.20/0.54 inference(modus_ponens,[status(thm)],[15, 12])).
% 0.20/0.54 tff(17,plain,(
% 0.20/0.54 ![X: $i] : (minus(X, succ(succ(tptp_minus_1))) = pred(X))),
% 0.20/0.54 inference(skolemize,[status(sab)],[16])).
% 0.20/0.54 tff(18,plain,
% 0.20/0.54 (![X: $i] : (minus(X, succ(succ(tptp_minus_1))) = pred(X))),
% 0.20/0.54 inference(modus_ponens,[status(thm)],[17, 10])).
% 0.20/0.54 tff(19,plain,
% 0.20/0.54 ((~![X: $i] : (minus(X, succ(succ(tptp_minus_1))) = pred(X))) | (minus(succ(succ(succ(succ(succ(succ(succ(tptp_minus_1))))))), succ(succ(tptp_minus_1))) = pred(succ(succ(succ(succ(succ(succ(succ(tptp_minus_1)))))))))),
% 0.20/0.54 inference(quant_inst,[status(thm)],[])).
% 0.20/0.54 tff(20,plain,
% 0.20/0.54 (minus(succ(succ(succ(succ(succ(succ(succ(tptp_minus_1))))))), succ(succ(tptp_minus_1))) = pred(succ(succ(succ(succ(succ(succ(succ(tptp_minus_1))))))))),
% 0.20/0.54 inference(unit_resolution,[status(thm)],[19, 18])).
% 0.20/0.54 tff(21,plain,
% 0.20/0.54 (minus(succ(succ(succ(succ(succ(succ(succ(tptp_minus_1))))))), succ(succ(tptp_minus_1))) = succ(succ(succ(succ(succ(succ(tptp_minus_1))))))),
% 0.20/0.54 inference(transitivity,[status(thm)],[20, 8])).
% 0.20/0.54 tff(22,plain,
% 0.20/0.54 (leq(pv21, minus(succ(succ(succ(succ(succ(succ(succ(tptp_minus_1))))))), succ(succ(tptp_minus_1)))) <=> leq(pv21, succ(succ(succ(succ(succ(succ(tptp_minus_1)))))))),
% 0.20/0.54 inference(monotonicity,[status(thm)],[21])).
% 0.20/0.54 tff(23,plain,
% 0.20/0.54 ((~![X: $i] : (minus(X, succ(succ(tptp_minus_1))) = pred(X))) | (minus(n1000, succ(succ(tptp_minus_1))) = pred(n1000))),
% 0.20/0.54 inference(quant_inst,[status(thm)],[])).
% 0.20/0.54 tff(24,plain,
% 0.20/0.54 (minus(n1000, succ(succ(tptp_minus_1))) = pred(n1000)),
% 0.20/0.54 inference(unit_resolution,[status(thm)],[23, 18])).
% 0.20/0.54 tff(25,plain,
% 0.20/0.54 (pred(n1000) = minus(n1000, succ(succ(tptp_minus_1)))),
% 0.20/0.54 inference(symmetry,[status(thm)],[24])).
% 0.20/0.54 tff(26,plain,
% 0.20/0.54 (leq(pv5, pred(n1000)) <=> leq(pv5, minus(n1000, succ(succ(tptp_minus_1))))),
% 0.20/0.54 inference(monotonicity,[status(thm)],[25])).
% 0.20/0.54 tff(27,plain,
% 0.20/0.54 (leq(pv5, minus(n1000, succ(succ(tptp_minus_1)))) <=> leq(pv5, pred(n1000))),
% 0.20/0.54 inference(symmetry,[status(thm)],[26])).
% 0.20/0.54 tff(28,plain,
% 0.20/0.54 ((~leq(pv5, minus(n1000, succ(succ(tptp_minus_1))))) <=> (~leq(pv5, pred(n1000)))),
% 0.20/0.54 inference(monotonicity,[status(thm)],[27])).
% 0.20/0.54 tff(29,assumption,(~((~leq(succ(tptp_minus_1), pv5)) | (~leq(pv5, n588)) | (~((~leq(succ(tptp_minus_1), pv5)) | (~leq(pv5, minus(n1000, succ(succ(tptp_minus_1))))) | (~(leq(pv5, n588) | gt(pv5, succ(tptp_minus_1)))) | (~((~gt(pv5, succ(tptp_minus_1))) | leq(pv5, n588))))))), introduced(assumption)).
% 0.20/0.54 tff(30,plain,
% 0.20/0.54 (((~leq(succ(tptp_minus_1), pv5)) | (~leq(pv5, n588)) | (~((~leq(succ(tptp_minus_1), pv5)) | (~leq(pv5, minus(n1000, succ(succ(tptp_minus_1))))) | (~(leq(pv5, n588) | gt(pv5, succ(tptp_minus_1)))) | (~((~gt(pv5, succ(tptp_minus_1))) | leq(pv5, n588)))))) | ((~leq(succ(tptp_minus_1), pv5)) | (~leq(pv5, minus(n1000, succ(succ(tptp_minus_1))))) | (~(leq(pv5, n588) | gt(pv5, succ(tptp_minus_1)))) | (~((~gt(pv5, succ(tptp_minus_1))) | leq(pv5, n588))))),
% 0.20/0.54 inference(tautology,[status(thm)],[])).
% 0.20/0.54 tff(31,plain,
% 0.20/0.54 ((~leq(succ(tptp_minus_1), pv5)) | (~leq(pv5, minus(n1000, succ(succ(tptp_minus_1))))) | (~(leq(pv5, n588) | gt(pv5, succ(tptp_minus_1)))) | (~((~gt(pv5, succ(tptp_minus_1))) | leq(pv5, n588)))),
% 0.20/0.54 inference(unit_resolution,[status(thm)],[30, 29])).
% 0.20/0.54 tff(32,plain,
% 0.20/0.54 (((~leq(succ(tptp_minus_1), pv5)) | (~leq(pv5, n588)) | (~((~leq(succ(tptp_minus_1), pv5)) | (~leq(pv5, minus(n1000, succ(succ(tptp_minus_1))))) | (~(leq(pv5, n588) | gt(pv5, succ(tptp_minus_1)))) | (~((~gt(pv5, succ(tptp_minus_1))) | leq(pv5, n588)))))) | leq(pv5, n588)),
% 0.20/0.54 inference(tautology,[status(thm)],[])).
% 0.20/0.54 tff(33,plain,
% 0.20/0.54 (leq(pv5, n588)),
% 0.20/0.54 inference(unit_resolution,[status(thm)],[32, 29])).
% 0.20/0.54 tff(34,plain,
% 0.20/0.54 (((~gt(pv5, succ(tptp_minus_1))) | leq(pv5, n588)) | (~leq(pv5, n588))),
% 0.20/0.54 inference(tautology,[status(thm)],[])).
% 0.20/0.54 tff(35,plain,
% 0.20/0.54 ((~gt(pv5, succ(tptp_minus_1))) | leq(pv5, n588)),
% 0.20/0.54 inference(unit_resolution,[status(thm)],[34, 33])).
% 0.20/0.54 tff(36,plain,
% 0.20/0.54 (((~leq(succ(tptp_minus_1), pv5)) | (~leq(pv5, n588)) | (~((~leq(succ(tptp_minus_1), pv5)) | (~leq(pv5, minus(n1000, succ(succ(tptp_minus_1))))) | (~(leq(pv5, n588) | gt(pv5, succ(tptp_minus_1)))) | (~((~gt(pv5, succ(tptp_minus_1))) | leq(pv5, n588)))))) | leq(succ(tptp_minus_1), pv5)),
% 0.20/0.54 inference(tautology,[status(thm)],[])).
% 0.20/0.54 tff(37,plain,
% 0.20/0.54 (leq(succ(tptp_minus_1), pv5)),
% 0.20/0.54 inference(unit_resolution,[status(thm)],[36, 29])).
% 0.20/0.54 tff(38,plain,
% 0.20/0.54 ((leq(pv5, n588) | gt(pv5, succ(tptp_minus_1))) | (~leq(pv5, n588))),
% 0.20/0.54 inference(tautology,[status(thm)],[])).
% 0.20/0.54 tff(39,plain,
% 0.20/0.54 (leq(pv5, n588) | gt(pv5, succ(tptp_minus_1))),
% 0.20/0.54 inference(unit_resolution,[status(thm)],[38, 33])).
% 0.20/0.54 tff(40,plain,
% 0.20/0.54 ((~((~leq(succ(tptp_minus_1), pv5)) | (~leq(pv5, minus(n1000, succ(succ(tptp_minus_1))))) | (~(leq(pv5, n588) | gt(pv5, succ(tptp_minus_1)))) | (~((~gt(pv5, succ(tptp_minus_1))) | leq(pv5, n588))))) | (~leq(succ(tptp_minus_1), pv5)) | (~leq(pv5, minus(n1000, succ(succ(tptp_minus_1))))) | (~(leq(pv5, n588) | gt(pv5, succ(tptp_minus_1)))) | (~((~gt(pv5, succ(tptp_minus_1))) | leq(pv5, n588)))),
% 0.20/0.54 inference(tautology,[status(thm)],[])).
% 0.20/0.54 tff(41,plain,
% 0.20/0.54 (~leq(pv5, minus(n1000, succ(succ(tptp_minus_1))))),
% 0.20/0.54 inference(unit_resolution,[status(thm)],[40, 39, 37, 35, 31])).
% 0.20/0.54 tff(42,plain,
% 0.20/0.54 (~leq(pv5, pred(n1000))),
% 0.20/0.54 inference(modus_ponens,[status(thm)],[41, 28])).
% 0.20/0.54 tff(43,plain,
% 0.20/0.54 (^[X: $i, Y: $i] : refl((leq(X, pred(Y)) <=> gt(Y, X)) <=> (leq(X, pred(Y)) <=> gt(Y, X)))),
% 0.20/0.54 inference(bind,[status(th)],[])).
% 0.20/0.54 tff(44,plain,
% 0.20/0.54 (![X: $i, Y: $i] : (leq(X, pred(Y)) <=> gt(Y, X)) <=> ![X: $i, Y: $i] : (leq(X, pred(Y)) <=> gt(Y, X))),
% 0.20/0.54 inference(quant_intro,[status(thm)],[43])).
% 0.20/0.54 tff(45,plain,
% 0.20/0.54 (![X: $i, Y: $i] : (leq(X, pred(Y)) <=> gt(Y, X)) <=> ![X: $i, Y: $i] : (leq(X, pred(Y)) <=> gt(Y, X))),
% 0.20/0.54 inference(rewrite,[status(thm)],[])).
% 0.20/0.54 tff(46,axiom,(![X: $i, Y: $i] : (leq(X, pred(Y)) <=> gt(Y, X))), file('/export/starexec/sandbox/benchmark/Axioms/SWV003+0.ax','leq_gt_pred')).
% 0.20/0.54 tff(47,plain,
% 0.20/0.54 (![X: $i, Y: $i] : (leq(X, pred(Y)) <=> gt(Y, X))),
% 0.20/0.54 inference(modus_ponens,[status(thm)],[46, 45])).
% 0.20/0.54 tff(48,plain,(
% 0.20/0.54 ![X: $i, Y: $i] : (leq(X, pred(Y)) <=> gt(Y, X))),
% 0.20/0.54 inference(skolemize,[status(sab)],[47])).
% 0.20/0.54 tff(49,plain,
% 0.20/0.54 (![X: $i, Y: $i] : (leq(X, pred(Y)) <=> gt(Y, X))),
% 0.20/0.54 inference(modus_ponens,[status(thm)],[48, 44])).
% 0.20/0.54 tff(50,plain,
% 0.20/0.54 ((~![X: $i, Y: $i] : (leq(X, pred(Y)) <=> gt(Y, X))) | (leq(n588, pred(n1000)) <=> gt(n1000, n588))),
% 0.20/0.54 inference(quant_inst,[status(thm)],[])).
% 0.20/0.54 tff(51,plain,
% 0.20/0.54 (leq(n588, pred(n1000)) <=> gt(n1000, n588)),
% 0.20/0.54 inference(unit_resolution,[status(thm)],[50, 49])).
% 0.20/0.54 tff(52,plain,
% 0.20/0.54 (gt(n1000, n588) <=> gt(n1000, n588)),
% 0.20/0.54 inference(rewrite,[status(thm)],[])).
% 0.20/0.54 tff(53,axiom,(gt(n1000, n588)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','gt_1000_588')).
% 0.20/0.54 tff(54,plain,
% 0.20/0.54 (gt(n1000, n588)),
% 0.20/0.54 inference(modus_ponens,[status(thm)],[53, 52])).
% 0.20/0.54 tff(55,plain,
% 0.20/0.54 ((~(leq(n588, pred(n1000)) <=> gt(n1000, n588))) | leq(n588, pred(n1000)) | (~gt(n1000, n588))),
% 0.20/0.54 inference(tautology,[status(thm)],[])).
% 0.20/0.54 tff(56,plain,
% 0.20/0.54 ((~(leq(n588, pred(n1000)) <=> gt(n1000, n588))) | leq(n588, pred(n1000))),
% 0.20/0.54 inference(unit_resolution,[status(thm)],[55, 54])).
% 0.20/0.54 tff(57,plain,
% 0.20/0.54 (leq(n588, pred(n1000))),
% 0.20/0.54 inference(unit_resolution,[status(thm)],[56, 51])).
% 0.20/0.54 tff(58,plain,
% 0.20/0.54 (![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)))),
% 0.20/0.54 inference(rewrite,[status(thm)],[])).
% 0.20/0.54 tff(59,plain,
% 0.20/0.54 (^[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)))))),
% 0.20/0.54 inference(bind,[status(th)],[])).
% 0.20/0.54 tff(60,plain,
% 0.20/0.54 (![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)))),
% 0.20/0.54 inference(quant_intro,[status(thm)],[59])).
% 0.20/0.54 tff(61,plain,
% 0.20/0.54 (![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))),
% 0.20/0.54 inference(rewrite,[status(thm)],[])).
% 0.20/0.54 tff(62,plain,
% 0.20/0.54 (^[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)))),
% 0.20/0.54 inference(bind,[status(th)],[])).
% 0.20/0.54 tff(63,plain,
% 0.20/0.54 (![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))),
% 0.20/0.54 inference(quant_intro,[status(thm)],[62])).
% 0.20/0.54 tff(64,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')).
% 0.20/0.54 tff(65,plain,
% 0.20/0.54 (![X: $i, Y: $i, Z: $i] : ((~(leq(X, Y) & leq(Y, Z))) | leq(X, Z))),
% 0.20/0.54 inference(modus_ponens,[status(thm)],[64, 63])).
% 0.20/0.54 tff(66,plain,
% 0.20/0.54 (![X: $i, Y: $i, Z: $i] : ((~(leq(X, Y) & leq(Y, Z))) | leq(X, Z))),
% 0.20/0.54 inference(modus_ponens,[status(thm)],[65, 61])).
% 0.20/0.54 tff(67,plain,(
% 0.20/0.54 ![X: $i, Y: $i, Z: $i] : ((~(leq(X, Y) & leq(Y, Z))) | leq(X, Z))),
% 0.20/0.54 inference(skolemize,[status(sab)],[66])).
% 0.20/0.54 tff(68,plain,
% 0.20/0.54 (![X: $i, Y: $i, Z: $i] : (leq(X, Z) | (~leq(Y, Z)) | (~leq(X, Y)))),
% 0.20/0.54 inference(modus_ponens,[status(thm)],[67, 60])).
% 0.20/0.54 tff(69,plain,
% 0.20/0.54 (![X: $i, Y: $i, Z: $i] : (leq(X, Z) | (~leq(Y, Z)) | (~leq(X, Y)))),
% 0.20/0.54 inference(modus_ponens,[status(thm)],[68, 58])).
% 0.20/0.54 tff(70,plain,
% 0.20/0.54 (((~![X: $i, Y: $i, Z: $i] : (leq(X, Z) | (~leq(Y, Z)) | (~leq(X, Y)))) | ((~leq(pv5, n588)) | (~leq(n588, pred(n1000))) | leq(pv5, pred(n1000)))) <=> ((~![X: $i, Y: $i, Z: $i] : (leq(X, Z) | (~leq(Y, Z)) | (~leq(X, Y)))) | (~leq(pv5, n588)) | (~leq(n588, pred(n1000))) | leq(pv5, pred(n1000)))),
% 0.20/0.54 inference(rewrite,[status(thm)],[])).
% 0.20/0.54 tff(71,plain,
% 0.20/0.54 ((leq(pv5, pred(n1000)) | (~leq(n588, pred(n1000))) | (~leq(pv5, n588))) <=> ((~leq(pv5, n588)) | (~leq(n588, pred(n1000))) | leq(pv5, pred(n1000)))),
% 0.20/0.54 inference(rewrite,[status(thm)],[])).
% 0.20/0.54 tff(72,plain,
% 0.20/0.54 (((~![X: $i, Y: $i, Z: $i] : (leq(X, Z) | (~leq(Y, Z)) | (~leq(X, Y)))) | (leq(pv5, pred(n1000)) | (~leq(n588, pred(n1000))) | (~leq(pv5, n588)))) <=> ((~![X: $i, Y: $i, Z: $i] : (leq(X, Z) | (~leq(Y, Z)) | (~leq(X, Y)))) | ((~leq(pv5, n588)) | (~leq(n588, pred(n1000))) | leq(pv5, pred(n1000))))),
% 0.20/0.54 inference(monotonicity,[status(thm)],[71])).
% 0.20/0.54 tff(73,plain,
% 0.20/0.54 (((~![X: $i, Y: $i, Z: $i] : (leq(X, Z) | (~leq(Y, Z)) | (~leq(X, Y)))) | (leq(pv5, pred(n1000)) | (~leq(n588, pred(n1000))) | (~leq(pv5, n588)))) <=> ((~![X: $i, Y: $i, Z: $i] : (leq(X, Z) | (~leq(Y, Z)) | (~leq(X, Y)))) | (~leq(pv5, n588)) | (~leq(n588, pred(n1000))) | leq(pv5, pred(n1000)))),
% 0.20/0.54 inference(transitivity,[status(thm)],[72, 70])).
% 0.20/0.54 tff(74,plain,
% 0.20/0.54 ((~![X: $i, Y: $i, Z: $i] : (leq(X, Z) | (~leq(Y, Z)) | (~leq(X, Y)))) | (leq(pv5, pred(n1000)) | (~leq(n588, pred(n1000))) | (~leq(pv5, n588)))),
% 0.20/0.54 inference(quant_inst,[status(thm)],[])).
% 0.20/0.54 tff(75,plain,
% 0.20/0.54 ((~![X: $i, Y: $i, Z: $i] : (leq(X, Z) | (~leq(Y, Z)) | (~leq(X, Y)))) | (~leq(pv5, n588)) | (~leq(n588, pred(n1000))) | leq(pv5, pred(n1000))),
% 0.20/0.54 inference(modus_ponens,[status(thm)],[74, 73])).
% 0.20/0.54 tff(76,plain,
% 0.20/0.54 (leq(pv5, pred(n1000))),
% 0.20/0.54 inference(unit_resolution,[status(thm)],[75, 69, 33, 57])).
% 0.20/0.54 tff(77,plain,
% 0.20/0.54 ($false),
% 0.20/0.54 inference(unit_resolution,[status(thm)],[76, 42])).
% 0.20/0.54 tff(78,plain,((~leq(succ(tptp_minus_1), pv5)) | (~leq(pv5, n588)) | (~((~leq(succ(tptp_minus_1), pv5)) | (~leq(pv5, minus(n1000, succ(succ(tptp_minus_1))))) | (~(leq(pv5, n588) | gt(pv5, succ(tptp_minus_1)))) | (~((~gt(pv5, succ(tptp_minus_1))) | leq(pv5, n588)))))), inference(lemma,lemma(discharge,[]))).
% 0.20/0.54 tff(79,assumption,(~leq(pv5, n588)), introduced(assumption)).
% 0.20/0.54 tff(80,plain,
% 0.20/0.54 (((~leq(succ(tptp_minus_1), pv5)) | (~leq(succ(tptp_minus_1), pv21)) | (~leq(pv5, n588)) | (~leq(pv21, minus(succ(succ(succ(succ(succ(succ(succ(tptp_minus_1))))))), succ(succ(tptp_minus_1))))) | (~((~leq(succ(tptp_minus_1), pv5)) | (~leq(succ(tptp_minus_1), pv21)) | (~leq(pv5, n588)) | (~leq(pv21, minus(succ(succ(succ(succ(succ(succ(succ(tptp_minus_1))))))), succ(succ(tptp_minus_1))))) | (~leq(pv21, succ(succ(succ(succ(succ(succ(tptp_minus_1))))))))))) | leq(pv5, n588)),
% 0.20/0.54 inference(tautology,[status(thm)],[])).
% 0.20/0.54 tff(81,plain,
% 0.20/0.54 ((~leq(succ(tptp_minus_1), pv5)) | (~leq(succ(tptp_minus_1), pv21)) | (~leq(pv5, n588)) | (~leq(pv21, minus(succ(succ(succ(succ(succ(succ(succ(tptp_minus_1))))))), succ(succ(tptp_minus_1))))) | (~((~leq(succ(tptp_minus_1), pv5)) | (~leq(succ(tptp_minus_1), pv21)) | (~leq(pv5, n588)) | (~leq(pv21, minus(succ(succ(succ(succ(succ(succ(succ(tptp_minus_1))))))), succ(succ(tptp_minus_1))))) | (~leq(pv21, succ(succ(succ(succ(succ(succ(tptp_minus_1))))))))))),
% 0.20/0.54 inference(unit_resolution,[status(thm)],[80, 79])).
% 0.20/0.54 tff(82,plain,
% 0.20/0.54 (((~leq(succ(tptp_minus_1), pv5)) | (~leq(pv5, n588)) | (~leq(succ(tptp_minus_1), pv31)) | (~leq(pv31, minus(succ(succ(succ(succ(succ(succ(succ(tptp_minus_1))))))), succ(succ(tptp_minus_1))))) | (~((~leq(succ(tptp_minus_1), pv5)) | (~leq(pv5, n588))))) | leq(pv5, n588)),
% 0.20/0.54 inference(tautology,[status(thm)],[])).
% 0.20/0.54 tff(83,plain,
% 0.20/0.54 ((~leq(succ(tptp_minus_1), pv5)) | (~leq(pv5, n588)) | (~leq(succ(tptp_minus_1), pv31)) | (~leq(pv31, minus(succ(succ(succ(succ(succ(succ(succ(tptp_minus_1))))))), succ(succ(tptp_minus_1))))) | (~((~leq(succ(tptp_minus_1), pv5)) | (~leq(pv5, n588))))),
% 0.20/0.54 inference(unit_resolution,[status(thm)],[82, 79])).
% 0.20/0.54 tff(84,plain,
% 0.20/0.54 (^[X: $i, Y: $i] : refl((leq(X, Y) <=> gt(succ(Y), X)) <=> (leq(X, Y) <=> gt(succ(Y), X)))),
% 0.20/0.54 inference(bind,[status(th)],[])).
% 0.20/0.54 tff(85,plain,
% 0.20/0.54 (![X: $i, Y: $i] : (leq(X, Y) <=> gt(succ(Y), X)) <=> ![X: $i, Y: $i] : (leq(X, Y) <=> gt(succ(Y), X))),
% 0.20/0.54 inference(quant_intro,[status(thm)],[84])).
% 0.20/0.54 tff(86,plain,
% 0.20/0.54 (![X: $i, Y: $i] : (leq(X, Y) <=> gt(succ(Y), X)) <=> ![X: $i, Y: $i] : (leq(X, Y) <=> gt(succ(Y), X))),
% 0.20/0.54 inference(rewrite,[status(thm)],[])).
% 0.20/0.54 tff(87,axiom,(![X: $i, Y: $i] : (leq(X, Y) <=> gt(succ(Y), X))), file('/export/starexec/sandbox/benchmark/Axioms/SWV003+0.ax','leq_succ_gt_equiv')).
% 0.20/0.54 tff(88,plain,
% 0.20/0.54 (![X: $i, Y: $i] : (leq(X, Y) <=> gt(succ(Y), X))),
% 0.20/0.54 inference(modus_ponens,[status(thm)],[87, 86])).
% 0.20/0.54 tff(89,plain,(
% 0.20/0.54 ![X: $i, Y: $i] : (leq(X, Y) <=> gt(succ(Y), X))),
% 0.20/0.54 inference(skolemize,[status(sab)],[88])).
% 0.20/0.54 tff(90,plain,
% 0.20/0.54 (![X: $i, Y: $i] : (leq(X, Y) <=> gt(succ(Y), X))),
% 0.20/0.54 inference(modus_ponens,[status(thm)],[89, 85])).
% 0.20/0.54 tff(91,plain,
% 0.20/0.54 ((~![X: $i, Y: $i] : (leq(X, Y) <=> gt(succ(Y), X))) | (leq(n7, n7) <=> gt(succ(n7), n7))),
% 0.20/0.54 inference(quant_inst,[status(thm)],[])).
% 0.20/0.54 tff(92,plain,
% 0.20/0.54 (leq(n7, n7) <=> gt(succ(n7), n7)),
% 0.20/0.54 inference(unit_resolution,[status(thm)],[91, 90])).
% 0.20/0.54 tff(93,plain,
% 0.20/0.54 (^[X: $i] : refl(gt(succ(X), X) <=> gt(succ(X), X))),
% 0.20/0.54 inference(bind,[status(th)],[])).
% 0.20/0.54 tff(94,plain,
% 0.20/0.54 (![X: $i] : gt(succ(X), X) <=> ![X: $i] : gt(succ(X), X)),
% 0.20/0.54 inference(quant_intro,[status(thm)],[93])).
% 0.20/0.54 tff(95,plain,
% 0.20/0.54 (![X: $i] : gt(succ(X), X) <=> ![X: $i] : gt(succ(X), X)),
% 0.20/0.54 inference(rewrite,[status(thm)],[])).
% 0.20/0.54 tff(96,axiom,(![X: $i] : gt(succ(X), X)), file('/export/starexec/sandbox/benchmark/Axioms/SWV003+0.ax','gt_succ')).
% 0.20/0.54 tff(97,plain,
% 0.20/0.54 (![X: $i] : gt(succ(X), X)),
% 0.20/0.54 inference(modus_ponens,[status(thm)],[96, 95])).
% 0.20/0.54 tff(98,plain,(
% 0.20/0.54 ![X: $i] : gt(succ(X), X)),
% 0.20/0.54 inference(skolemize,[status(sab)],[97])).
% 0.20/0.54 tff(99,plain,
% 0.20/0.54 (![X: $i] : gt(succ(X), X)),
% 0.20/0.54 inference(modus_ponens,[status(thm)],[98, 94])).
% 0.20/0.54 tff(100,plain,
% 0.20/0.54 ((~![X: $i] : gt(succ(X), X)) | gt(succ(n7), n7)),
% 0.20/0.54 inference(quant_inst,[status(thm)],[])).
% 0.20/0.54 tff(101,plain,
% 0.20/0.54 (gt(succ(n7), n7)),
% 0.20/0.54 inference(unit_resolution,[status(thm)],[100, 99])).
% 0.20/0.54 tff(102,plain,
% 0.20/0.54 ((~(leq(n7, n7) <=> gt(succ(n7), n7))) | leq(n7, n7) | (~gt(succ(n7), n7))),
% 0.20/0.54 inference(tautology,[status(thm)],[])).
% 0.20/0.54 tff(103,plain,
% 0.20/0.54 ((~(leq(n7, n7) <=> gt(succ(n7), n7))) | leq(n7, n7)),
% 0.20/0.54 inference(unit_resolution,[status(thm)],[102, 101])).
% 0.20/0.54 tff(104,plain,
% 0.20/0.54 (leq(n7, n7)),
% 0.20/0.54 inference(unit_resolution,[status(thm)],[103, 92])).
% 0.20/0.54 tff(105,plain,
% 0.20/0.54 (leq(succ(succ(tptp_minus_1)), minus(succ(succ(succ(succ(succ(succ(succ(tptp_minus_1))))))), succ(succ(tptp_minus_1)))) <=> leq(succ(succ(tptp_minus_1)), succ(succ(succ(succ(succ(succ(tptp_minus_1)))))))),
% 0.20/0.54 inference(monotonicity,[status(thm)],[21])).
% 0.20/0.54 tff(106,plain,
% 0.20/0.54 (leq(succ(succ(tptp_minus_1)), succ(succ(succ(succ(succ(succ(tptp_minus_1))))))) <=> leq(succ(succ(tptp_minus_1)), minus(succ(succ(succ(succ(succ(succ(succ(tptp_minus_1))))))), succ(succ(tptp_minus_1))))),
% 0.20/0.54 inference(symmetry,[status(thm)],[105])).
% 0.20/0.54 tff(107,plain,
% 0.20/0.54 (gt(n5, n1) <=> gt(succ(succ(succ(succ(succ(succ(tptp_minus_1)))))), succ(succ(tptp_minus_1)))),
% 0.20/0.54 inference(rewrite,[status(thm)],[])).
% 0.20/0.54 tff(108,plain,
% 0.20/0.54 (gt(n5, n1) <=> gt(n5, n1)),
% 0.20/0.54 inference(rewrite,[status(thm)],[])).
% 0.20/0.54 tff(109,axiom,(gt(n5, n1)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','gt_5_1')).
% 0.20/0.54 tff(110,plain,
% 0.20/0.54 (gt(n5, n1)),
% 0.20/0.54 inference(modus_ponens,[status(thm)],[109, 108])).
% 0.20/0.54 tff(111,plain,
% 0.20/0.54 (gt(succ(succ(succ(succ(succ(succ(tptp_minus_1)))))), succ(succ(tptp_minus_1)))),
% 0.20/0.54 inference(modus_ponens,[status(thm)],[110, 107])).
% 0.20/0.54 tff(112,plain,
% 0.20/0.54 (^[X: $i, Y: $i] : refl(((~gt(Y, X)) | leq(X, Y)) <=> ((~gt(Y, X)) | leq(X, Y)))),
% 0.20/0.54 inference(bind,[status(th)],[])).
% 0.20/0.54 tff(113,plain,
% 0.20/0.54 (![X: $i, Y: $i] : ((~gt(Y, X)) | leq(X, Y)) <=> ![X: $i, Y: $i] : ((~gt(Y, X)) | leq(X, Y))),
% 0.20/0.54 inference(quant_intro,[status(thm)],[112])).
% 0.20/0.54 tff(114,plain,
% 0.20/0.54 (![X: $i, Y: $i] : ((~gt(Y, X)) | leq(X, Y)) <=> ![X: $i, Y: $i] : ((~gt(Y, X)) | leq(X, Y))),
% 0.20/0.54 inference(rewrite,[status(thm)],[])).
% 0.20/0.54 tff(115,plain,
% 0.20/0.54 (^[X: $i, Y: $i] : rewrite((gt(Y, X) => leq(X, Y)) <=> ((~gt(Y, X)) | leq(X, Y)))),
% 0.20/0.54 inference(bind,[status(th)],[])).
% 0.20/0.54 tff(116,plain,
% 0.20/0.54 (![X: $i, Y: $i] : (gt(Y, X) => leq(X, Y)) <=> ![X: $i, Y: $i] : ((~gt(Y, X)) | leq(X, Y))),
% 0.20/0.54 inference(quant_intro,[status(thm)],[115])).
% 0.20/0.54 tff(117,axiom,(![X: $i, Y: $i] : (gt(Y, X) => leq(X, Y))), file('/export/starexec/sandbox/benchmark/Axioms/SWV003+0.ax','leq_gt1')).
% 0.20/0.54 tff(118,plain,
% 0.20/0.54 (![X: $i, Y: $i] : ((~gt(Y, X)) | leq(X, Y))),
% 0.20/0.54 inference(modus_ponens,[status(thm)],[117, 116])).
% 0.20/0.54 tff(119,plain,
% 0.20/0.54 (![X: $i, Y: $i] : ((~gt(Y, X)) | leq(X, Y))),
% 0.20/0.54 inference(modus_ponens,[status(thm)],[118, 114])).
% 0.20/0.54 tff(120,plain,(
% 0.20/0.54 ![X: $i, Y: $i] : ((~gt(Y, X)) | leq(X, Y))),
% 0.20/0.54 inference(skolemize,[status(sab)],[119])).
% 0.20/0.54 tff(121,plain,
% 0.20/0.54 (![X: $i, Y: $i] : ((~gt(Y, X)) | leq(X, Y))),
% 0.20/0.54 inference(modus_ponens,[status(thm)],[120, 113])).
% 0.20/0.54 tff(122,plain,
% 0.20/0.54 (((~![X: $i, Y: $i] : ((~gt(Y, X)) | leq(X, Y))) | ((~gt(succ(succ(succ(succ(succ(succ(tptp_minus_1)))))), succ(succ(tptp_minus_1)))) | leq(succ(succ(tptp_minus_1)), succ(succ(succ(succ(succ(succ(tptp_minus_1))))))))) <=> ((~![X: $i, Y: $i] : ((~gt(Y, X)) | leq(X, Y))) | (~gt(succ(succ(succ(succ(succ(succ(tptp_minus_1)))))), succ(succ(tptp_minus_1)))) | leq(succ(succ(tptp_minus_1)), succ(succ(succ(succ(succ(succ(tptp_minus_1))))))))),
% 0.20/0.54 inference(rewrite,[status(thm)],[])).
% 0.20/0.54 tff(123,plain,
% 0.20/0.54 ((~![X: $i, Y: $i] : ((~gt(Y, X)) | leq(X, Y))) | ((~gt(succ(succ(succ(succ(succ(succ(tptp_minus_1)))))), succ(succ(tptp_minus_1)))) | leq(succ(succ(tptp_minus_1)), succ(succ(succ(succ(succ(succ(tptp_minus_1))))))))),
% 0.20/0.54 inference(quant_inst,[status(thm)],[])).
% 0.20/0.54 tff(124,plain,
% 0.20/0.54 ((~![X: $i, Y: $i] : ((~gt(Y, X)) | leq(X, Y))) | (~gt(succ(succ(succ(succ(succ(succ(tptp_minus_1)))))), succ(succ(tptp_minus_1)))) | leq(succ(succ(tptp_minus_1)), succ(succ(succ(succ(succ(succ(tptp_minus_1)))))))),
% 0.20/0.54 inference(modus_ponens,[status(thm)],[123, 122])).
% 0.20/0.54 tff(125,plain,
% 0.20/0.54 (leq(succ(succ(tptp_minus_1)), succ(succ(succ(succ(succ(succ(tptp_minus_1)))))))),
% 0.20/0.54 inference(unit_resolution,[status(thm)],[124, 121, 111])).
% 0.20/0.54 tff(126,plain,
% 0.20/0.54 (leq(succ(succ(tptp_minus_1)), minus(succ(succ(succ(succ(succ(succ(succ(tptp_minus_1))))))), succ(succ(tptp_minus_1))))),
% 0.20/0.54 inference(modus_ponens,[status(thm)],[125, 106])).
% 0.20/0.54 tff(127,plain,
% 0.20/0.54 (leq(succ(tptp_minus_1), minus(succ(succ(succ(succ(succ(succ(succ(tptp_minus_1))))))), succ(succ(tptp_minus_1)))) <=> leq(succ(tptp_minus_1), succ(succ(succ(succ(succ(succ(tptp_minus_1)))))))),
% 0.20/0.54 inference(monotonicity,[status(thm)],[21])).
% 0.20/0.54 tff(128,plain,
% 0.20/0.54 (leq(succ(tptp_minus_1), succ(succ(succ(succ(succ(succ(tptp_minus_1))))))) <=> leq(succ(tptp_minus_1), minus(succ(succ(succ(succ(succ(succ(succ(tptp_minus_1))))))), succ(succ(tptp_minus_1))))),
% 0.20/0.54 inference(symmetry,[status(thm)],[127])).
% 0.20/0.54 tff(129,plain,
% 0.20/0.54 (gt(n5, n0) <=> gt(succ(succ(succ(succ(succ(succ(tptp_minus_1)))))), succ(tptp_minus_1))),
% 0.20/0.54 inference(rewrite,[status(thm)],[])).
% 0.20/0.54 tff(130,plain,
% 0.20/0.54 (gt(n5, n0) <=> gt(n5, n0)),
% 0.20/0.54 inference(rewrite,[status(thm)],[])).
% 0.20/0.54 tff(131,axiom,(gt(n5, n0)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','gt_5_0')).
% 0.20/0.54 tff(132,plain,
% 0.20/0.54 (gt(n5, n0)),
% 0.20/0.54 inference(modus_ponens,[status(thm)],[131, 130])).
% 0.20/0.55 tff(133,plain,
% 0.20/0.55 (gt(succ(succ(succ(succ(succ(succ(tptp_minus_1)))))), succ(tptp_minus_1))),
% 0.20/0.55 inference(modus_ponens,[status(thm)],[132, 129])).
% 0.20/0.55 tff(134,plain,
% 0.20/0.55 (((~![X: $i, Y: $i] : ((~gt(Y, X)) | leq(X, Y))) | ((~gt(succ(succ(succ(succ(succ(succ(tptp_minus_1)))))), succ(tptp_minus_1))) | leq(succ(tptp_minus_1), succ(succ(succ(succ(succ(succ(tptp_minus_1))))))))) <=> ((~![X: $i, Y: $i] : ((~gt(Y, X)) | leq(X, Y))) | (~gt(succ(succ(succ(succ(succ(succ(tptp_minus_1)))))), succ(tptp_minus_1))) | leq(succ(tptp_minus_1), succ(succ(succ(succ(succ(succ(tptp_minus_1))))))))),
% 0.20/0.55 inference(rewrite,[status(thm)],[])).
% 0.20/0.55 tff(135,plain,
% 0.20/0.55 ((~![X: $i, Y: $i] : ((~gt(Y, X)) | leq(X, Y))) | ((~gt(succ(succ(succ(succ(succ(succ(tptp_minus_1)))))), succ(tptp_minus_1))) | leq(succ(tptp_minus_1), succ(succ(succ(succ(succ(succ(tptp_minus_1))))))))),
% 0.20/0.55 inference(quant_inst,[status(thm)],[])).
% 0.20/0.55 tff(136,plain,
% 0.20/0.55 ((~![X: $i, Y: $i] : ((~gt(Y, X)) | leq(X, Y))) | (~gt(succ(succ(succ(succ(succ(succ(tptp_minus_1)))))), succ(tptp_minus_1))) | leq(succ(tptp_minus_1), succ(succ(succ(succ(succ(succ(tptp_minus_1)))))))),
% 0.20/0.55 inference(modus_ponens,[status(thm)],[135, 134])).
% 0.20/0.55 tff(137,plain,
% 0.20/0.55 (leq(succ(tptp_minus_1), succ(succ(succ(succ(succ(succ(tptp_minus_1)))))))),
% 0.20/0.55 inference(unit_resolution,[status(thm)],[136, 121, 133])).
% 0.20/0.55 tff(138,plain,
% 0.20/0.55 (leq(succ(tptp_minus_1), minus(succ(succ(succ(succ(succ(succ(succ(tptp_minus_1))))))), succ(succ(tptp_minus_1))))),
% 0.20/0.55 inference(modus_ponens,[status(thm)],[137, 128])).
% 0.20/0.55 tff(139,plain,
% 0.20/0.55 (gt(n7, n6) <=> gt(n7, succ(succ(succ(succ(succ(succ(succ(tptp_minus_1))))))))),
% 0.20/0.55 inference(rewrite,[status(thm)],[])).
% 0.20/0.55 tff(140,plain,
% 0.20/0.55 (gt(n7, n6) <=> gt(n7, n6)),
% 0.20/0.55 inference(rewrite,[status(thm)],[])).
% 0.20/0.55 tff(141,axiom,(gt(n7, n6)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','gt_7_6')).
% 0.20/0.55 tff(142,plain,
% 0.20/0.55 (gt(n7, n6)),
% 0.20/0.55 inference(modus_ponens,[status(thm)],[141, 140])).
% 0.20/0.55 tff(143,plain,
% 0.20/0.55 (gt(n7, succ(succ(succ(succ(succ(succ(succ(tptp_minus_1))))))))),
% 0.20/0.55 inference(modus_ponens,[status(thm)],[142, 139])).
% 0.20/0.55 tff(144,plain,
% 0.20/0.55 (((~![X: $i, Y: $i] : ((~gt(Y, X)) | leq(X, Y))) | ((~gt(n7, succ(succ(succ(succ(succ(succ(succ(tptp_minus_1))))))))) | leq(succ(succ(succ(succ(succ(succ(succ(tptp_minus_1))))))), n7))) <=> ((~![X: $i, Y: $i] : ((~gt(Y, X)) | leq(X, Y))) | (~gt(n7, succ(succ(succ(succ(succ(succ(succ(tptp_minus_1))))))))) | leq(succ(succ(succ(succ(succ(succ(succ(tptp_minus_1))))))), n7))),
% 0.20/0.55 inference(rewrite,[status(thm)],[])).
% 0.20/0.55 tff(145,plain,
% 0.20/0.55 ((~![X: $i, Y: $i] : ((~gt(Y, X)) | leq(X, Y))) | ((~gt(n7, succ(succ(succ(succ(succ(succ(succ(tptp_minus_1))))))))) | leq(succ(succ(succ(succ(succ(succ(succ(tptp_minus_1))))))), n7))),
% 0.20/0.55 inference(quant_inst,[status(thm)],[])).
% 0.20/0.55 tff(146,plain,
% 0.20/0.55 ((~![X: $i, Y: $i] : ((~gt(Y, X)) | leq(X, Y))) | (~gt(n7, succ(succ(succ(succ(succ(succ(succ(tptp_minus_1))))))))) | leq(succ(succ(succ(succ(succ(succ(succ(tptp_minus_1))))))), n7)),
% 0.20/0.55 inference(modus_ponens,[status(thm)],[145, 144])).
% 0.20/0.55 tff(147,plain,
% 0.20/0.55 (leq(succ(succ(succ(succ(succ(succ(succ(tptp_minus_1))))))), n7)),
% 0.20/0.55 inference(unit_resolution,[status(thm)],[146, 121, 143])).
% 0.20/0.55 tff(148,plain,
% 0.20/0.55 (leq(succ(succ(succ(succ(succ(succ(tptp_minus_1)))))), minus(succ(succ(succ(succ(succ(succ(succ(tptp_minus_1))))))), succ(succ(tptp_minus_1)))) <=> leq(succ(succ(succ(succ(succ(succ(tptp_minus_1)))))), succ(succ(succ(succ(succ(succ(tptp_minus_1)))))))),
% 0.20/0.55 inference(monotonicity,[status(thm)],[21])).
% 0.20/0.55 tff(149,plain,
% 0.20/0.55 (leq(succ(succ(succ(succ(succ(succ(tptp_minus_1)))))), succ(succ(succ(succ(succ(succ(tptp_minus_1))))))) <=> leq(succ(succ(succ(succ(succ(succ(tptp_minus_1)))))), minus(succ(succ(succ(succ(succ(succ(succ(tptp_minus_1))))))), succ(succ(tptp_minus_1))))),
% 0.20/0.55 inference(symmetry,[status(thm)],[148])).
% 0.20/0.55 tff(150,plain,
% 0.20/0.55 ((~![X: $i, Y: $i] : (leq(X, Y) <=> gt(succ(Y), X))) | (leq(succ(succ(succ(succ(succ(succ(tptp_minus_1)))))), succ(succ(succ(succ(succ(succ(tptp_minus_1))))))) <=> gt(succ(succ(succ(succ(succ(succ(succ(tptp_minus_1))))))), succ(succ(succ(succ(succ(succ(tptp_minus_1))))))))),
% 0.20/0.55 inference(quant_inst,[status(thm)],[])).
% 0.20/0.55 tff(151,plain,
% 0.20/0.55 (leq(succ(succ(succ(succ(succ(succ(tptp_minus_1)))))), succ(succ(succ(succ(succ(succ(tptp_minus_1))))))) <=> gt(succ(succ(succ(succ(succ(succ(succ(tptp_minus_1))))))), succ(succ(succ(succ(succ(succ(tptp_minus_1)))))))),
% 0.20/0.55 inference(unit_resolution,[status(thm)],[150, 90])).
% 0.20/0.55 tff(152,plain,
% 0.20/0.55 (gt(n6, n5) <=> gt(succ(succ(succ(succ(succ(succ(succ(tptp_minus_1))))))), succ(succ(succ(succ(succ(succ(tptp_minus_1)))))))),
% 0.20/0.55 inference(rewrite,[status(thm)],[])).
% 0.20/0.55 tff(153,plain,
% 0.20/0.55 (gt(n6, n5) <=> gt(n6, n5)),
% 0.20/0.55 inference(rewrite,[status(thm)],[])).
% 0.20/0.55 tff(154,axiom,(gt(n6, n5)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','gt_6_5')).
% 0.20/0.55 tff(155,plain,
% 0.20/0.55 (gt(n6, n5)),
% 0.20/0.55 inference(modus_ponens,[status(thm)],[154, 153])).
% 0.20/0.55 tff(156,plain,
% 0.20/0.55 (gt(succ(succ(succ(succ(succ(succ(succ(tptp_minus_1))))))), succ(succ(succ(succ(succ(succ(tptp_minus_1)))))))),
% 0.20/0.55 inference(modus_ponens,[status(thm)],[155, 152])).
% 0.20/0.55 tff(157,plain,
% 0.20/0.55 ((~(leq(succ(succ(succ(succ(succ(succ(tptp_minus_1)))))), succ(succ(succ(succ(succ(succ(tptp_minus_1))))))) <=> gt(succ(succ(succ(succ(succ(succ(succ(tptp_minus_1))))))), succ(succ(succ(succ(succ(succ(tptp_minus_1))))))))) | leq(succ(succ(succ(succ(succ(succ(tptp_minus_1)))))), succ(succ(succ(succ(succ(succ(tptp_minus_1))))))) | (~gt(succ(succ(succ(succ(succ(succ(succ(tptp_minus_1))))))), succ(succ(succ(succ(succ(succ(tptp_minus_1))))))))),
% 0.20/0.55 inference(tautology,[status(thm)],[])).
% 0.20/0.55 tff(158,plain,
% 0.20/0.55 ((~(leq(succ(succ(succ(succ(succ(succ(tptp_minus_1)))))), succ(succ(succ(succ(succ(succ(tptp_minus_1))))))) <=> gt(succ(succ(succ(succ(succ(succ(succ(tptp_minus_1))))))), succ(succ(succ(succ(succ(succ(tptp_minus_1))))))))) | leq(succ(succ(succ(succ(succ(succ(tptp_minus_1)))))), succ(succ(succ(succ(succ(succ(tptp_minus_1)))))))),
% 0.20/0.55 inference(unit_resolution,[status(thm)],[157, 156])).
% 0.20/0.55 tff(159,plain,
% 0.20/0.55 (leq(succ(succ(succ(succ(succ(succ(tptp_minus_1)))))), succ(succ(succ(succ(succ(succ(tptp_minus_1)))))))),
% 0.20/0.55 inference(unit_resolution,[status(thm)],[158, 151])).
% 0.20/0.55 tff(160,plain,
% 0.20/0.55 (leq(succ(succ(succ(succ(succ(succ(tptp_minus_1)))))), minus(succ(succ(succ(succ(succ(succ(succ(tptp_minus_1))))))), succ(succ(tptp_minus_1))))),
% 0.20/0.55 inference(modus_ponens,[status(thm)],[159, 149])).
% 0.20/0.55 tff(161,plain,
% 0.20/0.55 (gt(n7, n5) <=> gt(n7, succ(succ(succ(succ(succ(succ(tptp_minus_1)))))))),
% 0.20/0.55 inference(rewrite,[status(thm)],[])).
% 0.20/0.55 tff(162,plain,
% 0.20/0.55 (gt(n7, n5) <=> gt(n7, n5)),
% 0.20/0.55 inference(rewrite,[status(thm)],[])).
% 0.20/0.55 tff(163,axiom,(gt(n7, n5)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','gt_7_5')).
% 0.20/0.55 tff(164,plain,
% 0.20/0.55 (gt(n7, n5)),
% 0.20/0.55 inference(modus_ponens,[status(thm)],[163, 162])).
% 0.20/0.55 tff(165,plain,
% 0.20/0.55 (gt(n7, succ(succ(succ(succ(succ(succ(tptp_minus_1)))))))),
% 0.20/0.55 inference(modus_ponens,[status(thm)],[164, 161])).
% 0.20/0.55 tff(166,plain,
% 0.20/0.55 (((~![X: $i, Y: $i] : ((~gt(Y, X)) | leq(X, Y))) | ((~gt(n7, succ(succ(succ(succ(succ(succ(tptp_minus_1)))))))) | leq(succ(succ(succ(succ(succ(succ(tptp_minus_1)))))), n7))) <=> ((~![X: $i, Y: $i] : ((~gt(Y, X)) | leq(X, Y))) | (~gt(n7, succ(succ(succ(succ(succ(succ(tptp_minus_1)))))))) | leq(succ(succ(succ(succ(succ(succ(tptp_minus_1)))))), n7))),
% 0.20/0.55 inference(rewrite,[status(thm)],[])).
% 0.20/0.55 tff(167,plain,
% 0.20/0.55 ((~![X: $i, Y: $i] : ((~gt(Y, X)) | leq(X, Y))) | ((~gt(n7, succ(succ(succ(succ(succ(succ(tptp_minus_1)))))))) | leq(succ(succ(succ(succ(succ(succ(tptp_minus_1)))))), n7))),
% 0.20/0.55 inference(quant_inst,[status(thm)],[])).
% 0.20/0.55 tff(168,plain,
% 0.20/0.55 ((~![X: $i, Y: $i] : ((~gt(Y, X)) | leq(X, Y))) | (~gt(n7, succ(succ(succ(succ(succ(succ(tptp_minus_1)))))))) | leq(succ(succ(succ(succ(succ(succ(tptp_minus_1)))))), n7)),
% 0.20/0.55 inference(modus_ponens,[status(thm)],[167, 166])).
% 0.20/0.55 tff(169,plain,
% 0.20/0.55 (leq(succ(succ(succ(succ(succ(succ(tptp_minus_1)))))), n7)),
% 0.20/0.55 inference(unit_resolution,[status(thm)],[168, 121, 165])).
% 0.20/0.55 tff(170,plain,
% 0.20/0.55 (leq(succ(succ(succ(succ(succ(tptp_minus_1))))), minus(succ(succ(succ(succ(succ(succ(succ(tptp_minus_1))))))), succ(succ(tptp_minus_1)))) <=> leq(succ(succ(succ(succ(succ(tptp_minus_1))))), succ(succ(succ(succ(succ(succ(tptp_minus_1)))))))),
% 0.20/0.55 inference(monotonicity,[status(thm)],[21])).
% 0.20/0.55 tff(171,plain,
% 0.20/0.55 (leq(succ(succ(succ(succ(succ(tptp_minus_1))))), succ(succ(succ(succ(succ(succ(tptp_minus_1))))))) <=> leq(succ(succ(succ(succ(succ(tptp_minus_1))))), minus(succ(succ(succ(succ(succ(succ(succ(tptp_minus_1))))))), succ(succ(tptp_minus_1))))),
% 0.20/0.55 inference(symmetry,[status(thm)],[170])).
% 0.20/0.55 tff(172,plain,
% 0.20/0.55 (gt(n5, n4) <=> gt(succ(succ(succ(succ(succ(succ(tptp_minus_1)))))), succ(succ(succ(succ(succ(tptp_minus_1))))))),
% 0.20/0.55 inference(rewrite,[status(thm)],[])).
% 0.20/0.55 tff(173,plain,
% 0.20/0.55 (gt(n5, n4) <=> gt(n5, n4)),
% 0.20/0.55 inference(rewrite,[status(thm)],[])).
% 0.20/0.55 tff(174,axiom,(gt(n5, n4)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','gt_5_4')).
% 0.20/0.55 tff(175,plain,
% 0.20/0.55 (gt(n5, n4)),
% 0.20/0.55 inference(modus_ponens,[status(thm)],[174, 173])).
% 0.20/0.55 tff(176,plain,
% 0.20/0.55 (gt(succ(succ(succ(succ(succ(succ(tptp_minus_1)))))), succ(succ(succ(succ(succ(tptp_minus_1))))))),
% 0.20/0.55 inference(modus_ponens,[status(thm)],[175, 172])).
% 0.20/0.55 tff(177,plain,
% 0.20/0.55 (((~![X: $i, Y: $i] : ((~gt(Y, X)) | leq(X, Y))) | ((~gt(succ(succ(succ(succ(succ(succ(tptp_minus_1)))))), succ(succ(succ(succ(succ(tptp_minus_1))))))) | leq(succ(succ(succ(succ(succ(tptp_minus_1))))), succ(succ(succ(succ(succ(succ(tptp_minus_1))))))))) <=> ((~![X: $i, Y: $i] : ((~gt(Y, X)) | leq(X, Y))) | (~gt(succ(succ(succ(succ(succ(succ(tptp_minus_1)))))), succ(succ(succ(succ(succ(tptp_minus_1))))))) | leq(succ(succ(succ(succ(succ(tptp_minus_1))))), succ(succ(succ(succ(succ(succ(tptp_minus_1))))))))),
% 0.20/0.55 inference(rewrite,[status(thm)],[])).
% 0.20/0.55 tff(178,plain,
% 0.20/0.55 ((~![X: $i, Y: $i] : ((~gt(Y, X)) | leq(X, Y))) | ((~gt(succ(succ(succ(succ(succ(succ(tptp_minus_1)))))), succ(succ(succ(succ(succ(tptp_minus_1))))))) | leq(succ(succ(succ(succ(succ(tptp_minus_1))))), succ(succ(succ(succ(succ(succ(tptp_minus_1))))))))),
% 0.20/0.55 inference(quant_inst,[status(thm)],[])).
% 0.20/0.55 tff(179,plain,
% 0.20/0.55 ((~![X: $i, Y: $i] : ((~gt(Y, X)) | leq(X, Y))) | (~gt(succ(succ(succ(succ(succ(succ(tptp_minus_1)))))), succ(succ(succ(succ(succ(tptp_minus_1))))))) | leq(succ(succ(succ(succ(succ(tptp_minus_1))))), succ(succ(succ(succ(succ(succ(tptp_minus_1)))))))),
% 0.20/0.55 inference(modus_ponens,[status(thm)],[178, 177])).
% 0.20/0.55 tff(180,plain,
% 0.20/0.55 (leq(succ(succ(succ(succ(succ(tptp_minus_1))))), succ(succ(succ(succ(succ(succ(tptp_minus_1)))))))),
% 0.20/0.55 inference(unit_resolution,[status(thm)],[179, 121, 176])).
% 0.20/0.55 tff(181,plain,
% 0.20/0.55 (leq(succ(succ(succ(succ(succ(tptp_minus_1))))), minus(succ(succ(succ(succ(succ(succ(succ(tptp_minus_1))))))), succ(succ(tptp_minus_1))))),
% 0.20/0.55 inference(modus_ponens,[status(thm)],[180, 171])).
% 0.20/0.55 tff(182,plain,
% 0.20/0.55 (gt(n7, n4) <=> gt(n7, succ(succ(succ(succ(succ(tptp_minus_1))))))),
% 0.20/0.55 inference(rewrite,[status(thm)],[])).
% 0.20/0.55 tff(183,plain,
% 0.20/0.55 (gt(n7, n4) <=> gt(n7, n4)),
% 0.20/0.55 inference(rewrite,[status(thm)],[])).
% 0.20/0.55 tff(184,axiom,(gt(n7, n4)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','gt_7_4')).
% 0.20/0.55 tff(185,plain,
% 0.20/0.55 (gt(n7, n4)),
% 0.20/0.55 inference(modus_ponens,[status(thm)],[184, 183])).
% 0.20/0.55 tff(186,plain,
% 0.20/0.55 (gt(n7, succ(succ(succ(succ(succ(tptp_minus_1))))))),
% 0.20/0.55 inference(modus_ponens,[status(thm)],[185, 182])).
% 0.20/0.55 tff(187,plain,
% 0.20/0.55 (((~![X: $i, Y: $i] : ((~gt(Y, X)) | leq(X, Y))) | ((~gt(n7, succ(succ(succ(succ(succ(tptp_minus_1))))))) | leq(succ(succ(succ(succ(succ(tptp_minus_1))))), n7))) <=> ((~![X: $i, Y: $i] : ((~gt(Y, X)) | leq(X, Y))) | (~gt(n7, succ(succ(succ(succ(succ(tptp_minus_1))))))) | leq(succ(succ(succ(succ(succ(tptp_minus_1))))), n7))),
% 0.20/0.55 inference(rewrite,[status(thm)],[])).
% 0.20/0.55 tff(188,plain,
% 0.20/0.55 ((~![X: $i, Y: $i] : ((~gt(Y, X)) | leq(X, Y))) | ((~gt(n7, succ(succ(succ(succ(succ(tptp_minus_1))))))) | leq(succ(succ(succ(succ(succ(tptp_minus_1))))), n7))),
% 0.20/0.55 inference(quant_inst,[status(thm)],[])).
% 0.20/0.55 tff(189,plain,
% 0.20/0.55 ((~![X: $i, Y: $i] : ((~gt(Y, X)) | leq(X, Y))) | (~gt(n7, succ(succ(succ(succ(succ(tptp_minus_1))))))) | leq(succ(succ(succ(succ(succ(tptp_minus_1))))), n7)),
% 0.20/0.55 inference(modus_ponens,[status(thm)],[188, 187])).
% 0.20/0.55 tff(190,plain,
% 0.20/0.55 (leq(succ(succ(succ(succ(succ(tptp_minus_1))))), n7)),
% 0.20/0.55 inference(unit_resolution,[status(thm)],[189, 121, 186])).
% 0.20/0.55 tff(191,plain,
% 0.20/0.55 (leq(succ(succ(succ(succ(tptp_minus_1)))), minus(succ(succ(succ(succ(succ(succ(succ(tptp_minus_1))))))), succ(succ(tptp_minus_1)))) <=> leq(succ(succ(succ(succ(tptp_minus_1)))), succ(succ(succ(succ(succ(succ(tptp_minus_1)))))))),
% 0.20/0.55 inference(monotonicity,[status(thm)],[21])).
% 0.20/0.55 tff(192,plain,
% 0.20/0.55 (leq(succ(succ(succ(succ(tptp_minus_1)))), succ(succ(succ(succ(succ(succ(tptp_minus_1))))))) <=> leq(succ(succ(succ(succ(tptp_minus_1)))), minus(succ(succ(succ(succ(succ(succ(succ(tptp_minus_1))))))), succ(succ(tptp_minus_1))))),
% 0.20/0.55 inference(symmetry,[status(thm)],[191])).
% 0.20/0.55 tff(193,plain,
% 0.20/0.55 (gt(n5, n3) <=> gt(succ(succ(succ(succ(succ(succ(tptp_minus_1)))))), succ(succ(succ(succ(tptp_minus_1)))))),
% 0.20/0.55 inference(rewrite,[status(thm)],[])).
% 0.20/0.55 tff(194,plain,
% 0.20/0.55 (gt(n5, n3) <=> gt(n5, n3)),
% 0.20/0.55 inference(rewrite,[status(thm)],[])).
% 0.20/0.55 tff(195,axiom,(gt(n5, n3)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','gt_5_3')).
% 0.20/0.55 tff(196,plain,
% 0.20/0.55 (gt(n5, n3)),
% 0.20/0.55 inference(modus_ponens,[status(thm)],[195, 194])).
% 0.20/0.55 tff(197,plain,
% 0.20/0.55 (gt(succ(succ(succ(succ(succ(succ(tptp_minus_1)))))), succ(succ(succ(succ(tptp_minus_1)))))),
% 0.20/0.55 inference(modus_ponens,[status(thm)],[196, 193])).
% 0.20/0.55 tff(198,plain,
% 0.20/0.55 (((~![X: $i, Y: $i] : ((~gt(Y, X)) | leq(X, Y))) | ((~gt(succ(succ(succ(succ(succ(succ(tptp_minus_1)))))), succ(succ(succ(succ(tptp_minus_1)))))) | leq(succ(succ(succ(succ(tptp_minus_1)))), succ(succ(succ(succ(succ(succ(tptp_minus_1))))))))) <=> ((~![X: $i, Y: $i] : ((~gt(Y, X)) | leq(X, Y))) | (~gt(succ(succ(succ(succ(succ(succ(tptp_minus_1)))))), succ(succ(succ(succ(tptp_minus_1)))))) | leq(succ(succ(succ(succ(tptp_minus_1)))), succ(succ(succ(succ(succ(succ(tptp_minus_1))))))))),
% 0.20/0.55 inference(rewrite,[status(thm)],[])).
% 0.20/0.55 tff(199,plain,
% 0.20/0.55 ((~![X: $i, Y: $i] : ((~gt(Y, X)) | leq(X, Y))) | ((~gt(succ(succ(succ(succ(succ(succ(tptp_minus_1)))))), succ(succ(succ(succ(tptp_minus_1)))))) | leq(succ(succ(succ(succ(tptp_minus_1)))), succ(succ(succ(succ(succ(succ(tptp_minus_1))))))))),
% 0.20/0.55 inference(quant_inst,[status(thm)],[])).
% 0.20/0.55 tff(200,plain,
% 0.20/0.55 ((~![X: $i, Y: $i] : ((~gt(Y, X)) | leq(X, Y))) | (~gt(succ(succ(succ(succ(succ(succ(tptp_minus_1)))))), succ(succ(succ(succ(tptp_minus_1)))))) | leq(succ(succ(succ(succ(tptp_minus_1)))), succ(succ(succ(succ(succ(succ(tptp_minus_1)))))))),
% 0.20/0.55 inference(modus_ponens,[status(thm)],[199, 198])).
% 0.20/0.55 tff(201,plain,
% 0.20/0.55 (leq(succ(succ(succ(succ(tptp_minus_1)))), succ(succ(succ(succ(succ(succ(tptp_minus_1)))))))),
% 0.20/0.55 inference(unit_resolution,[status(thm)],[200, 121, 197])).
% 0.20/0.55 tff(202,plain,
% 0.20/0.55 (leq(succ(succ(succ(succ(tptp_minus_1)))), minus(succ(succ(succ(succ(succ(succ(succ(tptp_minus_1))))))), succ(succ(tptp_minus_1))))),
% 0.20/0.55 inference(modus_ponens,[status(thm)],[201, 192])).
% 0.20/0.55 tff(203,plain,
% 0.20/0.55 ((~![X: $i] : (pred(succ(X)) = X)) | (pred(succ(succ(succ(succ(succ(tptp_minus_1)))))) = succ(succ(succ(succ(tptp_minus_1)))))),
% 0.20/0.55 inference(quant_inst,[status(thm)],[])).
% 0.20/0.55 tff(204,plain,
% 0.20/0.55 (pred(succ(succ(succ(succ(succ(tptp_minus_1)))))) = succ(succ(succ(succ(tptp_minus_1))))),
% 0.20/0.55 inference(unit_resolution,[status(thm)],[203, 6])).
% 0.20/0.55 tff(205,plain,
% 0.20/0.55 ((~![X: $i] : (minus(X, succ(succ(tptp_minus_1))) = pred(X))) | (minus(succ(succ(succ(succ(succ(tptp_minus_1))))), succ(succ(tptp_minus_1))) = pred(succ(succ(succ(succ(succ(tptp_minus_1)))))))),
% 0.20/0.55 inference(quant_inst,[status(thm)],[])).
% 0.20/0.55 tff(206,plain,
% 0.20/0.55 (minus(succ(succ(succ(succ(succ(tptp_minus_1))))), succ(succ(tptp_minus_1))) = pred(succ(succ(succ(succ(succ(tptp_minus_1))))))),
% 0.20/0.55 inference(unit_resolution,[status(thm)],[205, 18])).
% 0.20/0.55 tff(207,plain,
% 0.20/0.55 (minus(succ(succ(succ(succ(succ(tptp_minus_1))))), succ(succ(tptp_minus_1))) = succ(succ(succ(succ(tptp_minus_1))))),
% 0.20/0.55 inference(transitivity,[status(thm)],[206, 204])).
% 0.20/0.55 tff(208,plain,
% 0.20/0.55 (leq(succ(succ(succ(succ(tptp_minus_1)))), minus(succ(succ(succ(succ(succ(tptp_minus_1))))), succ(succ(tptp_minus_1)))) <=> leq(succ(succ(succ(succ(tptp_minus_1)))), succ(succ(succ(succ(tptp_minus_1)))))),
% 0.20/0.55 inference(monotonicity,[status(thm)],[207])).
% 0.20/0.55 tff(209,plain,
% 0.20/0.55 (leq(succ(succ(succ(succ(tptp_minus_1)))), succ(succ(succ(succ(tptp_minus_1))))) <=> leq(succ(succ(succ(succ(tptp_minus_1)))), minus(succ(succ(succ(succ(succ(tptp_minus_1))))), succ(succ(tptp_minus_1))))),
% 0.20/0.55 inference(symmetry,[status(thm)],[208])).
% 0.20/0.55 tff(210,plain,
% 0.20/0.55 ((~![X: $i, Y: $i] : (leq(X, Y) <=> gt(succ(Y), X))) | (leq(succ(succ(succ(succ(tptp_minus_1)))), succ(succ(succ(succ(tptp_minus_1))))) <=> gt(succ(succ(succ(succ(succ(tptp_minus_1))))), succ(succ(succ(succ(tptp_minus_1))))))),
% 0.20/0.55 inference(quant_inst,[status(thm)],[])).
% 0.20/0.55 tff(211,plain,
% 0.20/0.55 (leq(succ(succ(succ(succ(tptp_minus_1)))), succ(succ(succ(succ(tptp_minus_1))))) <=> gt(succ(succ(succ(succ(succ(tptp_minus_1))))), succ(succ(succ(succ(tptp_minus_1)))))),
% 0.20/0.55 inference(unit_resolution,[status(thm)],[210, 90])).
% 0.20/0.55 tff(212,plain,
% 0.20/0.55 (gt(n4, n3) <=> gt(succ(succ(succ(succ(succ(tptp_minus_1))))), succ(succ(succ(succ(tptp_minus_1)))))),
% 0.20/0.55 inference(rewrite,[status(thm)],[])).
% 0.20/0.55 tff(213,plain,
% 0.20/0.55 (gt(n4, n3) <=> gt(n4, n3)),
% 0.20/0.55 inference(rewrite,[status(thm)],[])).
% 0.20/0.55 tff(214,axiom,(gt(n4, n3)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','gt_4_3')).
% 0.20/0.55 tff(215,plain,
% 0.20/0.55 (gt(n4, n3)),
% 0.20/0.55 inference(modus_ponens,[status(thm)],[214, 213])).
% 0.20/0.55 tff(216,plain,
% 0.20/0.55 (gt(succ(succ(succ(succ(succ(tptp_minus_1))))), succ(succ(succ(succ(tptp_minus_1)))))),
% 0.20/0.55 inference(modus_ponens,[status(thm)],[215, 212])).
% 0.20/0.55 tff(217,plain,
% 0.20/0.55 ((~(leq(succ(succ(succ(succ(tptp_minus_1)))), succ(succ(succ(succ(tptp_minus_1))))) <=> gt(succ(succ(succ(succ(succ(tptp_minus_1))))), succ(succ(succ(succ(tptp_minus_1))))))) | leq(succ(succ(succ(succ(tptp_minus_1)))), succ(succ(succ(succ(tptp_minus_1))))) | (~gt(succ(succ(succ(succ(succ(tptp_minus_1))))), succ(succ(succ(succ(tptp_minus_1))))))),
% 0.20/0.55 inference(tautology,[status(thm)],[])).
% 0.20/0.55 tff(218,plain,
% 0.20/0.55 ((~(leq(succ(succ(succ(succ(tptp_minus_1)))), succ(succ(succ(succ(tptp_minus_1))))) <=> gt(succ(succ(succ(succ(succ(tptp_minus_1))))), succ(succ(succ(succ(tptp_minus_1))))))) | leq(succ(succ(succ(succ(tptp_minus_1)))), succ(succ(succ(succ(tptp_minus_1)))))),
% 0.20/0.55 inference(unit_resolution,[status(thm)],[217, 216])).
% 0.20/0.55 tff(219,plain,
% 0.20/0.55 (leq(succ(succ(succ(succ(tptp_minus_1)))), succ(succ(succ(succ(tptp_minus_1)))))),
% 0.20/0.55 inference(unit_resolution,[status(thm)],[218, 211])).
% 0.20/0.55 tff(220,plain,
% 0.20/0.55 (leq(succ(succ(succ(succ(tptp_minus_1)))), minus(succ(succ(succ(succ(succ(tptp_minus_1))))), succ(succ(tptp_minus_1))))),
% 0.20/0.55 inference(modus_ponens,[status(thm)],[219, 209])).
% 0.20/0.55 tff(221,plain,
% 0.20/0.55 (gt(n7, n3) <=> gt(n7, succ(succ(succ(succ(tptp_minus_1)))))),
% 0.20/0.55 inference(rewrite,[status(thm)],[])).
% 0.20/0.55 tff(222,plain,
% 0.20/0.55 (gt(n7, n3) <=> gt(n7, n3)),
% 0.20/0.55 inference(rewrite,[status(thm)],[])).
% 0.20/0.55 tff(223,axiom,(gt(n7, n3)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','gt_7_3')).
% 0.20/0.55 tff(224,plain,
% 0.20/0.55 (gt(n7, n3)),
% 0.20/0.55 inference(modus_ponens,[status(thm)],[223, 222])).
% 0.20/0.55 tff(225,plain,
% 0.20/0.55 (gt(n7, succ(succ(succ(succ(tptp_minus_1)))))),
% 0.20/0.55 inference(modus_ponens,[status(thm)],[224, 221])).
% 0.20/0.55 tff(226,plain,
% 0.20/0.55 (((~![X: $i, Y: $i] : ((~gt(Y, X)) | leq(X, Y))) | ((~gt(n7, succ(succ(succ(succ(tptp_minus_1)))))) | leq(succ(succ(succ(succ(tptp_minus_1)))), n7))) <=> ((~![X: $i, Y: $i] : ((~gt(Y, X)) | leq(X, Y))) | (~gt(n7, succ(succ(succ(succ(tptp_minus_1)))))) | leq(succ(succ(succ(succ(tptp_minus_1)))), n7))),
% 0.20/0.55 inference(rewrite,[status(thm)],[])).
% 0.20/0.55 tff(227,plain,
% 0.20/0.55 ((~![X: $i, Y: $i] : ((~gt(Y, X)) | leq(X, Y))) | ((~gt(n7, succ(succ(succ(succ(tptp_minus_1)))))) | leq(succ(succ(succ(succ(tptp_minus_1)))), n7))),
% 0.20/0.55 inference(quant_inst,[status(thm)],[])).
% 0.20/0.55 tff(228,plain,
% 0.20/0.55 ((~![X: $i, Y: $i] : ((~gt(Y, X)) | leq(X, Y))) | (~gt(n7, succ(succ(succ(succ(tptp_minus_1)))))) | leq(succ(succ(succ(succ(tptp_minus_1)))), n7)),
% 0.20/0.55 inference(modus_ponens,[status(thm)],[227, 226])).
% 0.20/0.55 tff(229,plain,
% 0.20/0.55 (leq(succ(succ(succ(succ(tptp_minus_1)))), n7)),
% 0.20/0.55 inference(unit_resolution,[status(thm)],[228, 121, 225])).
% 0.20/0.55 tff(230,plain,
% 0.20/0.55 (leq(succ(succ(succ(tptp_minus_1))), minus(succ(succ(succ(succ(succ(succ(succ(tptp_minus_1))))))), succ(succ(tptp_minus_1)))) <=> leq(succ(succ(succ(tptp_minus_1))), succ(succ(succ(succ(succ(succ(tptp_minus_1)))))))),
% 0.20/0.55 inference(monotonicity,[status(thm)],[21])).
% 0.20/0.55 tff(231,plain,
% 0.20/0.55 (leq(succ(succ(succ(tptp_minus_1))), succ(succ(succ(succ(succ(succ(tptp_minus_1))))))) <=> leq(succ(succ(succ(tptp_minus_1))), minus(succ(succ(succ(succ(succ(succ(succ(tptp_minus_1))))))), succ(succ(tptp_minus_1))))),
% 0.20/0.55 inference(symmetry,[status(thm)],[230])).
% 0.20/0.55 tff(232,plain,
% 0.20/0.55 (gt(n5, n2) <=> gt(succ(succ(succ(succ(succ(succ(tptp_minus_1)))))), succ(succ(succ(tptp_minus_1))))),
% 0.20/0.55 inference(rewrite,[status(thm)],[])).
% 0.20/0.55 tff(233,plain,
% 0.20/0.55 (gt(n5, n2) <=> gt(n5, n2)),
% 0.20/0.55 inference(rewrite,[status(thm)],[])).
% 0.20/0.55 tff(234,axiom,(gt(n5, n2)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','gt_5_2')).
% 0.20/0.55 tff(235,plain,
% 0.20/0.55 (gt(n5, n2)),
% 0.20/0.55 inference(modus_ponens,[status(thm)],[234, 233])).
% 0.20/0.55 tff(236,plain,
% 0.20/0.55 (gt(succ(succ(succ(succ(succ(succ(tptp_minus_1)))))), succ(succ(succ(tptp_minus_1))))),
% 0.20/0.55 inference(modus_ponens,[status(thm)],[235, 232])).
% 0.20/0.55 tff(237,plain,
% 0.20/0.55 (((~![X: $i, Y: $i] : ((~gt(Y, X)) | leq(X, Y))) | ((~gt(succ(succ(succ(succ(succ(succ(tptp_minus_1)))))), succ(succ(succ(tptp_minus_1))))) | leq(succ(succ(succ(tptp_minus_1))), succ(succ(succ(succ(succ(succ(tptp_minus_1))))))))) <=> ((~![X: $i, Y: $i] : ((~gt(Y, X)) | leq(X, Y))) | (~gt(succ(succ(succ(succ(succ(succ(tptp_minus_1)))))), succ(succ(succ(tptp_minus_1))))) | leq(succ(succ(succ(tptp_minus_1))), succ(succ(succ(succ(succ(succ(tptp_minus_1))))))))),
% 0.20/0.55 inference(rewrite,[status(thm)],[])).
% 0.20/0.55 tff(238,plain,
% 0.20/0.55 ((~![X: $i, Y: $i] : ((~gt(Y, X)) | leq(X, Y))) | ((~gt(succ(succ(succ(succ(succ(succ(tptp_minus_1)))))), succ(succ(succ(tptp_minus_1))))) | leq(succ(succ(succ(tptp_minus_1))), succ(succ(succ(succ(succ(succ(tptp_minus_1))))))))),
% 0.20/0.55 inference(quant_inst,[status(thm)],[])).
% 0.20/0.55 tff(239,plain,
% 0.20/0.55 ((~![X: $i, Y: $i] : ((~gt(Y, X)) | leq(X, Y))) | (~gt(succ(succ(succ(succ(succ(succ(tptp_minus_1)))))), succ(succ(succ(tptp_minus_1))))) | leq(succ(succ(succ(tptp_minus_1))), succ(succ(succ(succ(succ(succ(tptp_minus_1)))))))),
% 0.20/0.55 inference(modus_ponens,[status(thm)],[238, 237])).
% 0.20/0.55 tff(240,plain,
% 0.20/0.55 (leq(succ(succ(succ(tptp_minus_1))), succ(succ(succ(succ(succ(succ(tptp_minus_1)))))))),
% 0.20/0.55 inference(unit_resolution,[status(thm)],[239, 121, 236])).
% 0.20/0.55 tff(241,plain,
% 0.20/0.55 (leq(succ(succ(succ(tptp_minus_1))), minus(succ(succ(succ(succ(succ(succ(succ(tptp_minus_1))))))), succ(succ(tptp_minus_1))))),
% 0.20/0.55 inference(modus_ponens,[status(thm)],[240, 231])).
% 0.20/0.55 tff(242,plain,
% 0.20/0.55 (leq(succ(succ(succ(tptp_minus_1))), minus(succ(succ(succ(succ(succ(tptp_minus_1))))), succ(succ(tptp_minus_1)))) <=> leq(succ(succ(succ(tptp_minus_1))), succ(succ(succ(succ(tptp_minus_1)))))),
% 0.20/0.55 inference(monotonicity,[status(thm)],[207])).
% 0.20/0.55 tff(243,plain,
% 0.20/0.55 (leq(succ(succ(succ(tptp_minus_1))), succ(succ(succ(succ(tptp_minus_1))))) <=> leq(succ(succ(succ(tptp_minus_1))), minus(succ(succ(succ(succ(succ(tptp_minus_1))))), succ(succ(tptp_minus_1))))),
% 0.20/0.55 inference(symmetry,[status(thm)],[242])).
% 0.20/0.55 tff(244,plain,
% 0.20/0.55 (gt(n3, n2) <=> gt(succ(succ(succ(succ(tptp_minus_1)))), succ(succ(succ(tptp_minus_1))))),
% 0.20/0.55 inference(rewrite,[status(thm)],[])).
% 0.20/0.55 tff(245,plain,
% 0.20/0.55 (gt(n3, n2) <=> gt(n3, n2)),
% 0.20/0.55 inference(rewrite,[status(thm)],[])).
% 0.20/0.55 tff(246,axiom,(gt(n3, n2)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','gt_3_2')).
% 0.20/0.55 tff(247,plain,
% 0.20/0.55 (gt(n3, n2)),
% 0.20/0.55 inference(modus_ponens,[status(thm)],[246, 245])).
% 0.20/0.55 tff(248,plain,
% 0.20/0.55 (gt(succ(succ(succ(succ(tptp_minus_1)))), succ(succ(succ(tptp_minus_1))))),
% 0.20/0.55 inference(modus_ponens,[status(thm)],[247, 244])).
% 0.20/0.55 tff(249,plain,
% 0.20/0.55 (((~![X: $i, Y: $i] : ((~gt(Y, X)) | leq(X, Y))) | ((~gt(succ(succ(succ(succ(tptp_minus_1)))), succ(succ(succ(tptp_minus_1))))) | leq(succ(succ(succ(tptp_minus_1))), succ(succ(succ(succ(tptp_minus_1))))))) <=> ((~![X: $i, Y: $i] : ((~gt(Y, X)) | leq(X, Y))) | (~gt(succ(succ(succ(succ(tptp_minus_1)))), succ(succ(succ(tptp_minus_1))))) | leq(succ(succ(succ(tptp_minus_1))), succ(succ(succ(succ(tptp_minus_1))))))),
% 0.20/0.55 inference(rewrite,[status(thm)],[])).
% 0.20/0.55 tff(250,plain,
% 0.20/0.55 ((~![X: $i, Y: $i] : ((~gt(Y, X)) | leq(X, Y))) | ((~gt(succ(succ(succ(succ(tptp_minus_1)))), succ(succ(succ(tptp_minus_1))))) | leq(succ(succ(succ(tptp_minus_1))), succ(succ(succ(succ(tptp_minus_1))))))),
% 0.20/0.55 inference(quant_inst,[status(thm)],[])).
% 0.20/0.55 tff(251,plain,
% 0.20/0.55 ((~![X: $i, Y: $i] : ((~gt(Y, X)) | leq(X, Y))) | (~gt(succ(succ(succ(succ(tptp_minus_1)))), succ(succ(succ(tptp_minus_1))))) | leq(succ(succ(succ(tptp_minus_1))), succ(succ(succ(succ(tptp_minus_1)))))),
% 0.20/0.55 inference(modus_ponens,[status(thm)],[250, 249])).
% 0.20/0.55 tff(252,plain,
% 0.20/0.55 (leq(succ(succ(succ(tptp_minus_1))), succ(succ(succ(succ(tptp_minus_1)))))),
% 0.20/0.55 inference(unit_resolution,[status(thm)],[251, 121, 248])).
% 0.20/0.55 tff(253,plain,
% 0.20/0.55 (leq(succ(succ(succ(tptp_minus_1))), minus(succ(succ(succ(succ(succ(tptp_minus_1))))), succ(succ(tptp_minus_1))))),
% 0.20/0.55 inference(modus_ponens,[status(thm)],[252, 243])).
% 0.20/0.55 tff(254,plain,
% 0.20/0.55 (gt(n7, n2) <=> gt(n7, succ(succ(succ(tptp_minus_1))))),
% 0.20/0.55 inference(rewrite,[status(thm)],[])).
% 0.20/0.55 tff(255,plain,
% 0.20/0.55 (gt(n7, n2) <=> gt(n7, n2)),
% 0.20/0.55 inference(rewrite,[status(thm)],[])).
% 0.20/0.55 tff(256,axiom,(gt(n7, n2)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','gt_7_2')).
% 0.20/0.55 tff(257,plain,
% 0.20/0.55 (gt(n7, n2)),
% 0.20/0.55 inference(modus_ponens,[status(thm)],[256, 255])).
% 0.20/0.55 tff(258,plain,
% 0.20/0.55 (gt(n7, succ(succ(succ(tptp_minus_1))))),
% 0.20/0.55 inference(modus_ponens,[status(thm)],[257, 254])).
% 0.20/0.55 tff(259,plain,
% 0.20/0.55 (((~![X: $i, Y: $i] : ((~gt(Y, X)) | leq(X, Y))) | ((~gt(n7, succ(succ(succ(tptp_minus_1))))) | leq(succ(succ(succ(tptp_minus_1))), n7))) <=> ((~![X: $i, Y: $i] : ((~gt(Y, X)) | leq(X, Y))) | (~gt(n7, succ(succ(succ(tptp_minus_1))))) | leq(succ(succ(succ(tptp_minus_1))), n7))),
% 0.20/0.55 inference(rewrite,[status(thm)],[])).
% 0.20/0.55 tff(260,plain,
% 0.20/0.55 ((~![X: $i, Y: $i] : ((~gt(Y, X)) | leq(X, Y))) | ((~gt(n7, succ(succ(succ(tptp_minus_1))))) | leq(succ(succ(succ(tptp_minus_1))), n7))),
% 0.20/0.55 inference(quant_inst,[status(thm)],[])).
% 0.20/0.55 tff(261,plain,
% 0.20/0.55 ((~![X: $i, Y: $i] : ((~gt(Y, X)) | leq(X, Y))) | (~gt(n7, succ(succ(succ(tptp_minus_1))))) | leq(succ(succ(succ(tptp_minus_1))), n7)),
% 0.20/0.55 inference(modus_ponens,[status(thm)],[260, 259])).
% 0.20/0.55 tff(262,plain,
% 0.20/0.55 (leq(succ(succ(succ(tptp_minus_1))), n7)),
% 0.20/0.55 inference(unit_resolution,[status(thm)],[261, 121, 258])).
% 0.20/0.55 tff(263,plain,
% 0.20/0.55 (leq(succ(succ(tptp_minus_1)), minus(succ(succ(succ(succ(succ(tptp_minus_1))))), succ(succ(tptp_minus_1)))) <=> leq(succ(succ(tptp_minus_1)), succ(succ(succ(succ(tptp_minus_1)))))),
% 0.20/0.55 inference(monotonicity,[status(thm)],[207])).
% 0.20/0.55 tff(264,plain,
% 0.20/0.55 (leq(succ(succ(tptp_minus_1)), succ(succ(succ(succ(tptp_minus_1))))) <=> leq(succ(succ(tptp_minus_1)), minus(succ(succ(succ(succ(succ(tptp_minus_1))))), succ(succ(tptp_minus_1))))),
% 0.20/0.55 inference(symmetry,[status(thm)],[263])).
% 0.20/0.55 tff(265,plain,
% 0.20/0.55 (gt(n3, n1) <=> gt(succ(succ(succ(succ(tptp_minus_1)))), succ(succ(tptp_minus_1)))),
% 0.20/0.55 inference(rewrite,[status(thm)],[])).
% 0.20/0.55 tff(266,plain,
% 0.20/0.55 (gt(n3, n1) <=> gt(n3, n1)),
% 0.20/0.55 inference(rewrite,[status(thm)],[])).
% 0.20/0.55 tff(267,axiom,(gt(n3, n1)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','gt_3_1')).
% 0.20/0.55 tff(268,plain,
% 0.20/0.55 (gt(n3, n1)),
% 0.20/0.55 inference(modus_ponens,[status(thm)],[267, 266])).
% 0.20/0.55 tff(269,plain,
% 0.20/0.55 (gt(succ(succ(succ(succ(tptp_minus_1)))), succ(succ(tptp_minus_1)))),
% 0.20/0.55 inference(modus_ponens,[status(thm)],[268, 265])).
% 0.20/0.55 tff(270,plain,
% 0.20/0.55 (((~![X: $i, Y: $i] : ((~gt(Y, X)) | leq(X, Y))) | ((~gt(succ(succ(succ(succ(tptp_minus_1)))), succ(succ(tptp_minus_1)))) | leq(succ(succ(tptp_minus_1)), succ(succ(succ(succ(tptp_minus_1))))))) <=> ((~![X: $i, Y: $i] : ((~gt(Y, X)) | leq(X, Y))) | (~gt(succ(succ(succ(succ(tptp_minus_1)))), succ(succ(tptp_minus_1)))) | leq(succ(succ(tptp_minus_1)), succ(succ(succ(succ(tptp_minus_1))))))),
% 0.20/0.55 inference(rewrite,[status(thm)],[])).
% 0.20/0.55 tff(271,plain,
% 0.20/0.55 ((~![X: $i, Y: $i] : ((~gt(Y, X)) | leq(X, Y))) | ((~gt(succ(succ(succ(succ(tptp_minus_1)))), succ(succ(tptp_minus_1)))) | leq(succ(succ(tptp_minus_1)), succ(succ(succ(succ(tptp_minus_1))))))),
% 0.20/0.56 inference(quant_inst,[status(thm)],[])).
% 0.20/0.56 tff(272,plain,
% 0.20/0.56 ((~![X: $i, Y: $i] : ((~gt(Y, X)) | leq(X, Y))) | (~gt(succ(succ(succ(succ(tptp_minus_1)))), succ(succ(tptp_minus_1)))) | leq(succ(succ(tptp_minus_1)), succ(succ(succ(succ(tptp_minus_1)))))),
% 0.20/0.56 inference(modus_ponens,[status(thm)],[271, 270])).
% 0.20/0.56 tff(273,plain,
% 0.20/0.56 (leq(succ(succ(tptp_minus_1)), succ(succ(succ(succ(tptp_minus_1)))))),
% 0.20/0.56 inference(unit_resolution,[status(thm)],[272, 121, 269])).
% 0.20/0.56 tff(274,plain,
% 0.20/0.56 (leq(succ(succ(tptp_minus_1)), minus(succ(succ(succ(succ(succ(tptp_minus_1))))), succ(succ(tptp_minus_1))))),
% 0.20/0.56 inference(modus_ponens,[status(thm)],[273, 264])).
% 0.20/0.56 tff(275,plain,
% 0.20/0.56 (^[X: $i, Y: $i] : refl((geq(X, Y) <=> leq(Y, X)) <=> (geq(X, Y) <=> leq(Y, X)))),
% 0.20/0.56 inference(bind,[status(th)],[])).
% 0.20/0.56 tff(276,plain,
% 0.20/0.56 (![X: $i, Y: $i] : (geq(X, Y) <=> leq(Y, X)) <=> ![X: $i, Y: $i] : (geq(X, Y) <=> leq(Y, X))),
% 0.20/0.56 inference(quant_intro,[status(thm)],[275])).
% 0.20/0.56 tff(277,plain,
% 0.20/0.56 (![X: $i, Y: $i] : (geq(X, Y) <=> leq(Y, X)) <=> ![X: $i, Y: $i] : (geq(X, Y) <=> leq(Y, X))),
% 0.20/0.56 inference(rewrite,[status(thm)],[])).
% 0.20/0.56 tff(278,axiom,(![X: $i, Y: $i] : (geq(X, Y) <=> leq(Y, X))), file('/export/starexec/sandbox/benchmark/Axioms/SWV003+0.ax','leq_geq')).
% 0.20/0.56 tff(279,plain,
% 0.20/0.56 (![X: $i, Y: $i] : (geq(X, Y) <=> leq(Y, X))),
% 0.20/0.56 inference(modus_ponens,[status(thm)],[278, 277])).
% 0.20/0.56 tff(280,plain,(
% 0.20/0.56 ![X: $i, Y: $i] : (geq(X, Y) <=> leq(Y, X))),
% 0.20/0.56 inference(skolemize,[status(sab)],[279])).
% 0.20/0.56 tff(281,plain,
% 0.20/0.56 (![X: $i, Y: $i] : (geq(X, Y) <=> leq(Y, X))),
% 0.20/0.56 inference(modus_ponens,[status(thm)],[280, 276])).
% 0.20/0.56 tff(282,plain,
% 0.20/0.56 ((~![X: $i, Y: $i] : (geq(X, Y) <=> leq(Y, X))) | (geq(minus(succ(succ(succ(succ(succ(tptp_minus_1))))), succ(succ(tptp_minus_1))), succ(tptp_minus_1)) <=> leq(succ(tptp_minus_1), minus(succ(succ(succ(succ(succ(tptp_minus_1))))), succ(succ(tptp_minus_1)))))),
% 0.20/0.56 inference(quant_inst,[status(thm)],[])).
% 0.20/0.56 tff(283,plain,
% 0.20/0.56 (geq(minus(succ(succ(succ(succ(succ(tptp_minus_1))))), succ(succ(tptp_minus_1))), succ(tptp_minus_1)) <=> leq(succ(tptp_minus_1), minus(succ(succ(succ(succ(succ(tptp_minus_1))))), succ(succ(tptp_minus_1))))),
% 0.20/0.56 inference(unit_resolution,[status(thm)],[282, 281])).
% 0.20/0.56 tff(284,plain,
% 0.20/0.56 (geq(minus(n4, n1), n0) <=> geq(minus(succ(succ(succ(succ(succ(tptp_minus_1))))), succ(succ(tptp_minus_1))), succ(tptp_minus_1))),
% 0.20/0.56 inference(rewrite,[status(thm)],[])).
% 0.20/0.56 tff(285,plain,
% 0.20/0.56 (geq(minus(n4, n1), n0) <=> geq(minus(n4, n1), n0)),
% 0.20/0.56 inference(rewrite,[status(thm)],[])).
% 0.20/0.56 tff(286,plain,
% 0.20/0.56 ((~((geq(minus(n4, n1), n0) & geq(minus(n1000, n1), n0)) => ![A: $i] : ((geq(n7, n0) & geq(minus(n1000, n1), n0)) => ![B: $i] : (((((((((((true => true) & (true => (((((((((((((((((((((((((leq(n0, n0) & leq(n0, n1)) & leq(n0, n2)) & leq(n0, n3)) & leq(n0, n4)) & leq(n0, n5)) & leq(n0, n6)) & leq(n0, n7)) & leq(n0, minus(n4, n1))) & leq(n0, minus(n6, n1))) & leq(n0, minus(n1000, n1))) & leq(n1, n7)) & leq(n1, minus(n4, n1))) & leq(n1, minus(n6, n1))) & leq(n2, n7)) & leq(n2, minus(n4, n1))) & leq(n2, minus(n6, n1))) & leq(n3, n7)) & leq(n3, minus(n4, n1))) & leq(n3, minus(n6, n1))) & leq(n4, n7)) & leq(n4, minus(n6, n1))) & leq(n5, n7)) & leq(n5, minus(n6, n1))) & leq(n6, n7)) & leq(n7, n7)))) & ((((leq(n0, pv5) & leq(n0, pv21)) & leq(pv5, n588)) & leq(pv21, minus(n6, n1))) => (((((leq(n0, n0) & leq(n0, pv5)) & leq(n0, pv21)) & leq(pv5, n588)) & leq(pv21, n5)) & leq(pv21, minus(n6, n1))))) & ((((((leq(n0, pv5) & leq(n0, pv31)) & leq(n0, pv32)) & leq(pv5, n588)) & leq(pv31, minus(n6, n1))) & leq(pv32, minus(n6, n1))) => (((~(pv31 = pv32)) => (((((leq(n0, pv5) & leq(n0, pv31)) & leq(n0, pv32)) & leq(pv5, n588)) & leq(pv31, minus(n6, n1))) & leq(pv32, minus(n6, n1)))) & ((pv31 = pv32) => (((((leq(n0, pv5) & leq(n0, pv31)) & leq(n0, pv32)) & leq(pv5, n588)) & leq(pv31, minus(n6, n1))) & leq(pv32, minus(n6, n1))))))) & ((((leq(n0, pv5) & leq(n0, pv31)) & leq(pv5, n588)) & leq(pv31, minus(n6, n1))) => (((leq(n0, pv5) & leq(n0, pv31)) & leq(pv5, n588)) & leq(pv31, minus(n6, n1))))) & ((((leq(n0, pv5) & leq(n0, pv31)) & leq(pv5, n588)) & leq(pv31, minus(n6, n1))) => (leq(n0, pv5) & leq(pv5, n588)))) & ((leq(n0, pv5) & leq(pv5, n588)) => true)) & ((leq(n0, pv5) & leq(pv5, n588)) => ((((((((((((((leq(n0, n0) & leq(n0, n1)) & leq(n0, n2)) & leq(n0, n3)) & leq(n0, pv5)) & leq(n0, minus(n4, n1))) & leq(n0, minus(n6, n1))) & leq(n1, minus(n4, n1))) & leq(n1, minus(n6, n1))) & leq(n2, minus(n4, n1))) & leq(n2, minus(n6, n1))) & leq(n3, minus(n4, n1))) & leq(pv5, minus(n1000, n1))) & ((~gt(pv5, n0)) => (((~gt(pv5, n0)) => (((~gt(pv5, n0)) => (((~gt(pv5, n0)) => (((((((((((((((((((((((leq(n0, n0) & leq(n0, n1)) & leq(n0, n2)) & leq(n0, n3)) & leq(n0, n4)) & leq(n0, n5)) & leq(n0, n6)) & leq(n0, n7)) & leq(n0, pv5)) & leq(n0, minus(n6, n1))) & leq(n1, n7)) & leq(n1, minus(n6, n1))) & leq(n2, n7)) & leq(n2, minus(n6, n1))) & leq(n3, n7)) & leq(n3, minus(n6, n1))) & leq(n4, n7)) & leq(n4, minus(n6, n1))) & leq(n5, n7)) & leq(n5, minus(n6, n1))) & leq(n6, n7)) & leq(n7, n7)) & leq(pv5, n588)) & leq(pv5, minus(n1000, n1)))) & (gt(pv5, n0) => (((((((((((((((((((((((((((leq(n0, n0) & leq(n0, n1)) & leq(n0, n2)) & leq(n0, n3)) & leq(n0, n4)) & leq(n0, n5)) & leq(n0, n6)) & leq(n0, n7)) & leq(n0, pv5)) & leq(n0, minus(n4, n1))) & leq(n0, minus(n6, n1))) & leq(n1, n7)) & leq(n1, minus(n4, n1))) & leq(n1, minus(n6, n1))) & leq(n2, n7)) & leq(n2, minus(n4, n1))) & leq(n2, minus(n6, n1))) & leq(n3, n7)) & leq(n3, minus(n4, n1))) & leq(n3, minus(n6, n1))) & leq(n4, n7)) & leq(n4, minus(n6, n1))) & leq(n5, n7)) & leq(n5, minus(n6, n1))) & leq(n6, n7)) & leq(n7, n7)) & leq(pv5, n588)) & leq(pv5, minus(n1000, n1)))))) & (gt(pv5, n0) => (((((((((((leq(n0, n0) & leq(n0, n1)) & leq(n0, n2)) & leq(n0, n3)) & leq(n0, pv5)) & leq(n0, minus(n4, n1))) & leq(n1, minus(n4, n1))) & leq(n2, minus(n4, n1))) & leq(n3, minus(n4, n1))) & leq(pv5, minus(n1000, n1))) & ((~gt(pv5, n0)) => (((((((((((((((((((((((leq(n0, n0) & leq(n0, n1)) & leq(n0, n2)) & leq(n0, n3)) & leq(n0, n4)) & leq(n0, n5)) & leq(n0, n6)) & leq(n0, n7)) & leq(n0, pv5)) & leq(n0, minus(n6, n1))) & leq(n1, n7)) & leq(n1, minus(n6, n1))) & leq(n2, n7)) & leq(n2, minus(n6, n1))) & leq(n3, n7)) & leq(n3, minus(n6, n1))) & leq(n4, n7)) & leq(n4, minus(n6, n1))) & leq(n5, n7)) & leq(n5, minus(n6, n1))) & leq(n6, n7)) & leq(n7, n7)) & leq(pv5, n588)) & leq(pv5, minus(n1000, n1))))) & (gt(pv5, n0) => (((((((((((((((((((((((((((leq(n0, n0) & leq(n0, n1)) & leq(n0, n2)) & leq(n0, n3)) & leq(n0, n4)) & leq(n0, n5)) & leq(n0, n6)) & leq(n0, n7)) & leq(n0, pv5)) & leq(n0, minus(n4, n1))) & leq(n0, minus(n6, n1))) & leq(n1, n7)) & leq(n1, minus(n4, n1))) & leq(n1, minus(n6, n1))) & leq(n2, n7)) & leq(n2, minus(n4, n1))) & leq(n2, minus(n6, n1))) & leq(n3, n7)) & leq(n3, minus(n4, n1))) & leq(n3, minus(n6, n1))) & leq(n4, n7)) & leq(n4, minus(n6, n1))) & leq(n5, n7)) & leq(n5, minus(n6, n1))) & leq(n6, n7)) & leq(n7, n7)) & leq(pv5, n588)) & leq(pv5, minus(n1000, n1)))))))) & (gt(pv5, n0) => ((((((((((((((((((((leq(n0, n0) & leq(n0, n1)) & leq(n0, n2)) & leq(n0, n3)) & leq(n0, n4)) & leq(n0, n5)) & leq(n0, n6)) & leq(n0, n7)) & leq(n0, pv5)) & leq(n0, minus(n6, n1))) & leq(n1, n7)) & leq(n2, n7)) & leq(n3, n7)) & leq(n3, minus(n6, n1))) & leq(n4, n7)) & leq(n5, n7)) & leq(n6, n7)) & leq(n7, n7)) & leq(pv5, minus(n1000, n1))) & ((~gt(pv5, n0)) => (((~gt(pv5, n0)) => (((((((((((((((((((((((leq(n0, n0) & leq(n0, n1)) & leq(n0, n2)) & leq(n0, n3)) & leq(n0, n4)) & leq(n0, n5)) & leq(n0, n6)) & leq(n0, n7)) & leq(n0, pv5)) & leq(n0, minus(n6, n1))) & leq(n1, n7)) & leq(n1, minus(n6, n1))) & leq(n2, n7)) & leq(n2, minus(n6, n1))) & leq(n3, n7)) & leq(n3, minus(n6, n1))) & leq(n4, n7)) & leq(n4, minus(n6, n1))) & leq(n5, n7)) & leq(n5, minus(n6, n1))) & leq(n6, n7)) & leq(n7, n7)) & leq(pv5, n588)) & leq(pv5, minus(n1000, n1)))) & (gt(pv5, n0) => (((((((((((((((((((((((((((leq(n0, n0) & leq(n0, n1)) & leq(n0, n2)) & leq(n0, n3)) & leq(n0, n4)) & leq(n0, n5)) & leq(n0, n6)) & leq(n0, n7)) & leq(n0, pv5)) & leq(n0, minus(n4, n1))) & leq(n0, minus(n6, n1))) & leq(n1, n7)) & leq(n1, minus(n4, n1))) & leq(n1, minus(n6, n1))) & leq(n2, n7)) & leq(n2, minus(n4, n1))) & leq(n2, minus(n6, n1))) & leq(n3, n7)) & leq(n3, minus(n4, n1))) & leq(n3, minus(n6, n1))) & leq(n4, n7)) & leq(n4, minus(n6, n1))) & leq(n5, n7)) & leq(n5, minus(n6, n1))) & leq(n6, n7)) & leq(n7, n7)) & leq(pv5, n588)) & leq(pv5, minus(n1000, n1))))))) & (gt(pv5, n0) => (((((((((((leq(n0, n0) & leq(n0, n1)) & leq(n0, n2)) & leq(n0, n3)) & leq(n0, pv5)) & leq(n0, minus(n4, n1))) & leq(n1, minus(n4, n1))) & leq(n2, minus(n4, n1))) & leq(n3, minus(n4, n1))) & leq(pv5, minus(n1000, n1))) & ((~gt(pv5, n0)) => (((((((((((((((((((((((leq(n0, n0) & leq(n0, n1)) & leq(n0, n2)) & leq(n0, n3)) & leq(n0, n4)) & leq(n0, n5)) & leq(n0, n6)) & leq(n0, n7)) & leq(n0, pv5)) & leq(n0, minus(n6, n1))) & leq(n1, n7)) & leq(n1, minus(n6, n1))) & leq(n2, n7)) & leq(n2, minus(n6, n1))) & leq(n3, n7)) & leq(n3, minus(n6, n1))) & leq(n4, n7)) & leq(n4, minus(n6, n1))) & leq(n5, n7)) & leq(n5, minus(n6, n1))) & leq(n6, n7)) & leq(n7, n7)) & leq(pv5, n588)) & leq(pv5, minus(n1000, n1))))) & (gt(pv5, n0) => (((((((((((((((((((((((((((leq(n0, n0) & leq(n0, n1)) & leq(n0, n2)) & leq(n0, n3)) & leq(n0, n4)) & leq(n0, n5)) & leq(n0, n6)) & leq(n0, n7)) & leq(n0, pv5)) & leq(n0, minus(n4, n1))) & leq(n0, minus(n6, n1))) & leq(n1, n7)) & leq(n1, minus(n4, n1))) & leq(n1, minus(n6, n1))) & leq(n2, n7)) & leq(n2, minus(n4, n1))) & leq(n2, minus(n6, n1))) & leq(n3, n7)) & leq(n3, minus(n4, n1))) & leq(n3, minus(n6, n1))) & leq(n4, n7)) & leq(n4, minus(n6, n1))) & leq(n5, n7)) & leq(n5, minus(n6, n1))) & leq(n6, n7)) & leq(n7, n7)) & leq(pv5, n588)) & leq(pv5, minus(n1000, n1))))))))))) & (gt(pv5, n0) => (((((((((((((((((((((((leq(n0, n0) & leq(n0, n1)) & leq(n0, n2)) & leq(n0, n3)) & leq(n0, n4)) & leq(n0, n5)) & leq(n0, n6)) & leq(n0, n7)) & leq(n0, pv5)) & leq(n0, minus(n6, n1))) & leq(n1, n7)) & leq(n1, minus(n6, n1))) & leq(n2, n7)) & leq(n2, minus(n6, n1))) & leq(n3, n7)) & leq(n4, n7)) & leq(n4, minus(n6, n1))) & leq(n5, n7)) & leq(n5, minus(n6, n1))) & leq(n6, n7)) & leq(n7, n7)) & leq(pv5, minus(n1000, n1))) & ((~gt(pv5, n0)) => (((~gt(pv5, n0)) => (((~gt(pv5, n0)) => (((((((((((((((((((((((leq(n0, n0) & leq(n0, n1)) & leq(n0, n2)) & leq(n0, n3)) & leq(n0, n4)) & leq(n0, n5)) & leq(n0, n6)) & leq(n0, n7)) & leq(n0, pv5)) & leq(n0, minus(n6, n1))) & leq(n1, n7)) & leq(n1, minus(n6, n1))) & leq(n2, n7)) & leq(n2, minus(n6, n1))) & leq(n3, n7)) & leq(n3, minus(n6, n1))) & leq(n4, n7)) & leq(n4, minus(n6, n1))) & leq(n5, n7)) & leq(n5, minus(n6, n1))) & leq(n6, n7)) & leq(n7, n7)) & leq(pv5, n588)) & leq(pv5, minus(n1000, n1)))) & (gt(pv5, n0) => (((((((((((((((((((((((((((leq(n0, n0) & leq(n0, n1)) & leq(n0, n2)) & leq(n0, n3)) & leq(n0, n4)) & leq(n0, n5)) & leq(n0, n6)) & leq(n0, n7)) & leq(n0, pv5)) & leq(n0, minus(n4, n1))) & leq(n0, minus(n6, n1))) & leq(n1, n7)) & leq(n1, minus(n4, n1))) & leq(n1, minus(n6, n1))) & leq(n2, n7)) & leq(n2, minus(n4, n1))) & leq(n2, minus(n6, n1))) & leq(n3, n7)) & leq(n3, minus(n4, n1))) & leq(n3, minus(n6, n1))) & leq(n4, n7)) & leq(n4, minus(n6, n1))) & leq(n5, n7)) & leq(n5, minus(n6, n1))) & leq(n6, n7)) & leq(n7, n7)) & leq(pv5, n588)) & leq(pv5, minus(n1000, n1)))))) & (gt(pv5, n0) => (((((((((((leq(n0, n0) & leq(n0, n1)) & leq(n0, n2)) & leq(n0, n3)) & leq(n0, pv5)) & leq(n0, minus(n4, n1))) & leq(n1, minus(n4, n1))) & leq(n2, minus(n4, n1))) & leq(n3, minus(n4, n1))) & leq(pv5, minus(n1000, n1))) & ((~gt(pv5, n0)) => (((((((((((((((((((((((leq(n0, n0) & leq(n0, n1)) & leq(n0, n2)) & leq(n0, n3)) & leq(n0, n4)) & leq(n0, n5)) & leq(n0, n6)) & leq(n0, n7)) & leq(n0, pv5)) & leq(n0, minus(n6, n1))) & leq(n1, n7)) & leq(n1, minus(n6, n1))) & leq(n2, n7)) & leq(n2, minus(n6, n1))) & leq(n3, n7)) & leq(n3, minus(n6, n1))) & leq(n4, n7)) & leq(n4, minus(n6, n1))) & leq(n5, n7)) & leq(n5, minus(n6, n1))) & leq(n6, n7)) & leq(n7, n7)) & leq(pv5, n588)) & leq(pv5, minus(n1000, n1))))) & (gt(pv5, n0) => (((((((((((((((((((((((((((leq(n0, n0) & leq(n0, n1)) & leq(n0, n2)) & leq(n0, n3)) & leq(n0, n4)) & leq(n0, n5)) & leq(n0, n6)) & leq(n0, n7)) & leq(n0, pv5)) & leq(n0, minus(n4, n1))) & leq(n0, minus(n6, n1))) & leq(n1, n7)) & leq(n1, minus(n4, n1))) & leq(n1, minus(n6, n1))) & leq(n2, n7)) & leq(n2, minus(n4, n1))) & leq(n2, minus(n6, n1))) & leq(n3, n7)) & leq(n3, minus(n4, n1))) & leq(n3, minus(n6, n1))) & leq(n4, n7)) & leq(n4, minus(n6, n1))) & leq(n5, n7)) & leq(n5, minus(n6, n1))) & leq(n6, n7)) & leq(n7, n7)) & leq(pv5, n588)) & leq(pv5, minus(n1000, n1))))))))) & (gt(pv5, n0) => ((((((((((((((((((((leq(n0, n0) & leq(n0, n1)) & leq(n0, n2)) & leq(n0, n3)) & leq(n0, n4)) & leq(n0, n5)) & leq(n0, n6)) & leq(n0, n7)) & leq(n0, pv5)) & leq(n0, minus(n6, n1))) & leq(n1, n7)) & leq(n2, n7)) & leq(n3, n7)) & leq(n3, minus(n6, n1))) & leq(n4, n7)) & leq(n5, n7)) & leq(n6, n7)) & leq(n7, n7)) & leq(pv5, minus(n1000, n1))) & ((~gt(pv5, n0)) => (((~gt(pv5, n0)) => (((((((((((((((((((((((leq(n0, n0) & leq(n0, n1)) & leq(n0, n2)) & leq(n0, n3)) & leq(n0, n4)) & leq(n0, n5)) & leq(n0, n6)) & leq(n0, n7)) & leq(n0, pv5)) & leq(n0, minus(n6, n1))) & leq(n1, n7)) & leq(n1, minus(n6, n1))) & leq(n2, n7)) & leq(n2, minus(n6, n1))) & leq(n3, n7)) & leq(n3, minus(n6, n1))) & leq(n4, n7)) & leq(n4, minus(n6, n1))) & leq(n5, n7)) & leq(n5, minus(n6, n1))) & leq(n6, n7)) & leq(n7, n7)) & leq(pv5, n588)) & leq(pv5, minus(n1000, n1)))) & (gt(pv5, n0) => (((((((((((((((((((((((((((leq(n0, n0) & leq(n0, n1)) & leq(n0, n2)) & leq(n0, n3)) & leq(n0, n4)) & leq(n0, n5)) & leq(n0, n6)) & leq(n0, n7)) & leq(n0, pv5)) & leq(n0, minus(n4, n1))) & leq(n0, minus(n6, n1))) & leq(n1, n7)) & leq(n1, minus(n4, n1))) & leq(n1, minus(n6, n1))) & leq(n2, n7)) & leq(n2, minus(n4, n1))) & leq(n2, minus(n6, n1))) & leq(n3, n7)) & leq(n3, minus(n4, n1))) & leq(n3, minus(n6, n1))) & leq(n4, n7)) & leq(n4, minus(n6, n1))) & leq(n5, n7)) & leq(n5, minus(n6, n1))) & leq(n6, n7)) & leq(n7, n7)) & leq(pv5, n588)) & leq(pv5, minus(n1000, n1))))))) & (gt(pv5, n0) => (((((((((((leq(n0, n0) & leq(n0, n1)) & leq(n0, n2)) & leq(n0, n3)) & leq(n0, pv5)) & leq(n0, minus(n4, n1))) & leq(n1, minus(n4, n1))) & leq(n2, minus(n4, n1))) & leq(n3, minus(n4, n1))) & leq(pv5, minus(n1000, n1))) & ((~gt(pv5, n0)) => (((((((((((((((((((((((leq(n0, n0) & leq(n0, n1)) & leq(n0, n2)) & leq(n0, n3)) & leq(n0, n4)) & leq(n0, n5)) & leq(n0, n6)) & leq(n0, n7)) & leq(n0, pv5)) & leq(n0, minus(n6, n1))) & leq(n1, n7)) & leq(n1, minus(n6, n1))) & leq(n2, n7)) & leq(n2, minus(n6, n1))) & leq(n3, n7)) & leq(n3, minus(n6, n1))) & leq(n4, n7)) & leq(n4, minus(n6, n1))) & leq(n5, n7)) & leq(n5, minus(n6, n1))) & leq(n6, n7)) & leq(n7, n7)) & leq(pv5, n588)) & leq(pv5, minus(n1000, n1))))) & (gt(pv5, n0) => (((((((((((((((((((((((((((leq(n0, n0) & leq(n0, n1)) & leq(n0, n2)) & leq(n0, n3)) & leq(n0, n4)) & leq(n0, n5)) & leq(n0, n6)) & leq(n0, n7)) & leq(n0, pv5)) & leq(n0, minus(n4, n1))) & leq(n0, minus(n6, n1))) & leq(n1, n7)) & leq(n1, minus(n4, n1))) & leq(n1, minus(n6, n1))) & leq(n2, n7)) & leq(n2, minus(n4, n1))) & leq(n2, minus(n6, n1))) & leq(n3, n7)) & leq(n3, minus(n4, n1))) & leq(n3, minus(n6, n1))) & leq(n4, n7)) & leq(n4, minus(n6, n1))) & leq(n5, n7)) & leq(n5, minus(n6, n1))) & leq(n6, n7)) & leq(n7, n7)) & leq(pv5, n588)) & leq(pv5, minus(n1000, n1))))))))))))) & ((leq(n0, pv5) & leq(pv5, n588)) => (leq(n0, pv5) & leq(pv5, n588)))) & ((leq(n0, pv23) & leq(pv23, minus(n6, n1))) => (leq(n0, a_select2(sigma, pv23)) => true))) & (geq(minus(n6, n1), n0) => (geq(minus(n6, n1), n0) => ((geq(minus(n4, n1), n0) & geq(minus(n1000, n1), n0)) => true))))))) <=> (~((~(geq(minus(n4, n1), n0) & geq(minus(n1000, n1), n0))) | (((~true) | (leq(n0, n0) & leq(n0, n1) & leq(n0, n2) & leq(n0, n3) & leq(n0, n4) & leq(n0, n5) & leq(n0, n6) & leq(n0, n7) & leq(n0, minus(n4, n1)) & leq(n0, minus(n6, n1)) & leq(n0, minus(n1000, n1)) & leq(n1, n7) & leq(n1, minus(n4, n1)) & leq(n1, minus(n6, n1)) & leq(n2, n7) & leq(n2, minus(n4, n1)) & leq(n2, minus(n6, n1)) & leq(n3, n7) & leq(n3, minus(n4, n1)) & leq(n3, minus(n6, n1)) & leq(n4, n7) & leq(n4, minus(n6, n1)) & leq(n5, n7) & leq(n5, minus(n6, n1)) & leq(n6, n7) & leq(n7, n7))) & ((~(leq(n0, pv5) & leq(n0, pv21) & leq(pv5, n588) & leq(pv21, minus(n6, n1)))) | (leq(n0, n0) & leq(n0, pv5) & leq(n0, pv21) & leq(pv5, n588) & leq(pv21, n5) & leq(pv21, minus(n6, n1)))) & ((~(leq(n0, pv5) & leq(n0, pv31) & leq(n0, pv32) & leq(pv5, n588) & leq(pv31, minus(n6, n1)) & leq(pv32, minus(n6, n1)))) | (((pv31 = pv32) | (leq(n0, pv5) & leq(n0, pv31) & leq(n0, pv32) & leq(pv5, n588) & leq(pv31, minus(n6, n1)) & leq(pv32, minus(n6, n1)))) & ((~(pv31 = pv32)) | (leq(n0, pv5) & leq(n0, pv31) & leq(n0, pv32) & leq(pv5, n588) & leq(pv31, minus(n6, n1)) & leq(pv32, minus(n6, n1)))))) & ((~(leq(n0, pv5) & leq(n0, pv31) & leq(pv5, n588) & leq(pv31, minus(n6, n1)))) | (leq(n0, pv5) & leq(pv5, n588))) & (true | (~(leq(n0, pv5) & leq(pv5, n588)))) & ((~(leq(n0, pv5) & leq(pv5, n588))) | (leq(n0, n0) & leq(n0, n1) & leq(n0, n2) & leq(n0, n3) & leq(n0, pv5) & leq(n0, minus(n4, n1)) & leq(n0, minus(n6, n1)) & leq(n1, minus(n4, n1)) & leq(n1, minus(n6, n1)) & leq(n2, minus(n4, n1)) & leq(n2, minus(n6, n1)) & leq(n3, minus(n4, n1)) & leq(pv5, minus(n1000, n1)) & (gt(pv5, n0) | ((gt(pv5, n0) | ((gt(pv5, n0) | ((gt(pv5, n0) | (leq(n0, n0) & leq(n0, n1) & leq(n0, n2) & leq(n0, n3) & leq(n0, n4) & leq(n0, n5) & leq(n0, n6) & leq(n0, n7) & leq(n0, pv5) & leq(n0, minus(n6, n1)) & leq(n1, n7) & leq(n1, minus(n6, n1)) & leq(n2, n7) & leq(n2, minus(n6, n1)) & leq(n3, n7) & leq(n3, minus(n6, n1)) & leq(n4, n7) & leq(n4, minus(n6, n1)) & leq(n5, n7) & leq(n5, minus(n6, n1)) & leq(n6, n7) & leq(n7, n7) & leq(pv5, n588) & leq(pv5, minus(n1000, n1)))) & ((~gt(pv5, n0)) | (leq(n0, n0) & leq(n0, n1) & leq(n0, n2) & leq(n0, n3) & leq(n0, n4) & leq(n0, n5) & leq(n0, n6) & leq(n0, n7) & leq(n0, pv5) & leq(n0, minus(n4, n1)) & leq(n0, minus(n6, n1)) & leq(n1, n7) & leq(n1, minus(n4, n1)) & leq(n1, minus(n6, n1)) & leq(n2, n7) & leq(n2, minus(n4, n1)) & leq(n2, minus(n6, n1)) & leq(n3, n7) & leq(n3, minus(n4, n1)) & leq(n3, minus(n6, n1)) & leq(n4, n7) & leq(n4, minus(n6, n1)) & leq(n5, n7) & leq(n5, minus(n6, n1)) & leq(n6, n7) & leq(n7, n7) & leq(pv5, n588) & leq(pv5, minus(n1000, n1)))))) & ((~gt(pv5, n0)) | (leq(n0, n0) & leq(n0, n1) & leq(n0, n2) & leq(n0, n3) & leq(n0, pv5) & leq(n0, minus(n4, n1)) & leq(n1, minus(n4, n1)) & leq(n2, minus(n4, n1)) & leq(n3, minus(n4, n1)) & leq(pv5, minus(n1000, n1)) & (gt(pv5, n0) | (leq(n0, n0) & leq(n0, n1) & leq(n0, n2) & leq(n0, n3) & leq(n0, n4) & leq(n0, n5) & leq(n0, n6) & leq(n0, n7) & leq(n0, pv5) & leq(n0, minus(n6, n1)) & leq(n1, n7) & leq(n1, minus(n6, n1)) & leq(n2, n7) & leq(n2, minus(n6, n1)) & leq(n3, n7) & leq(n3, minus(n6, n1)) & leq(n4, n7) & leq(n4, minus(n6, n1)) & leq(n5, n7) & leq(n5, minus(n6, n1)) & leq(n6, n7) & leq(n7, n7) & leq(pv5, n588) & leq(pv5, minus(n1000, n1)))) & ((~gt(pv5, n0)) | (leq(n0, n0) & leq(n0, n1) & leq(n0, n2) & leq(n0, n3) & leq(n0, n4) & leq(n0, n5) & leq(n0, n6) & leq(n0, n7) & leq(n0, pv5) & leq(n0, minus(n4, n1)) & leq(n0, minus(n6, n1)) & leq(n1, n7) & leq(n1, minus(n4, n1)) & leq(n1, minus(n6, n1)) & leq(n2, n7) & leq(n2, minus(n4, n1)) & leq(n2, minus(n6, n1)) & leq(n3, n7) & leq(n3, minus(n4, n1)) & leq(n3, minus(n6, n1)) & leq(n4, n7) & leq(n4, minus(n6, n1)) & leq(n5, n7) & leq(n5, minus(n6, n1)) & leq(n6, n7) & leq(n7, n7) & leq(pv5, n588) & leq(pv5, minus(n1000, n1)))))))) & ((~gt(pv5, n0)) | (leq(n0, n0) & leq(n0, n1) & leq(n0, n2) & leq(n0, n3) & leq(n0, n4) & leq(n0, n5) & leq(n0, n6) & leq(n0, n7) & leq(n0, pv5) & leq(n0, minus(n6, n1)) & leq(n1, n7) & leq(n2, n7) & leq(n3, n7) & leq(n3, minus(n6, n1)) & leq(n4, n7) & leq(n5, n7) & leq(n6, n7) & leq(n7, n7) & leq(pv5, minus(n1000, n1)) & (gt(pv5, n0) | ((gt(pv5, n0) | (leq(n0, n0) & leq(n0, n1) & leq(n0, n2) & leq(n0, n3) & leq(n0, n4) & leq(n0, n5) & leq(n0, n6) & leq(n0, n7) & leq(n0, pv5) & leq(n0, minus(n6, n1)) & leq(n1, n7) & leq(n1, minus(n6, n1)) & leq(n2, n7) & leq(n2, minus(n6, n1)) & leq(n3, n7) & leq(n3, minus(n6, n1)) & leq(n4, n7) & leq(n4, minus(n6, n1)) & leq(n5, n7) & leq(n5, minus(n6, n1)) & leq(n6, n7) & leq(n7, n7) & leq(pv5, n588) & leq(pv5, minus(n1000, n1)))) & ((~gt(pv5, n0)) | (leq(n0, n0) & leq(n0, n1) & leq(n0, n2) & leq(n0, n3) & leq(n0, n4) & leq(n0, n5) & leq(n0, n6) & leq(n0, n7) & leq(n0, pv5) & leq(n0, minus(n4, n1)) & leq(n0, minus(n6, n1)) & leq(n1, n7) & leq(n1, minus(n4, n1)) & leq(n1, minus(n6, n1)) & leq(n2, n7) & leq(n2, minus(n4, n1)) & leq(n2, minus(n6, n1)) & leq(n3, n7) & leq(n3, minus(n4, n1)) & leq(n3, minus(n6, n1)) & leq(n4, n7) & leq(n4, minus(n6, n1)) & leq(n5, n7) & leq(n5, minus(n6, n1)) & leq(n6, n7) & leq(n7, n7) & leq(pv5, n588) & leq(pv5, minus(n1000, n1)))))) & ((~gt(pv5, n0)) | (leq(n0, n0) & leq(n0, n1) & leq(n0, n2) & leq(n0, n3) & leq(n0, pv5) & leq(n0, minus(n4, n1)) & leq(n1, minus(n4, n1)) & leq(n2, minus(n4, n1)) & leq(n3, minus(n4, n1)) & leq(pv5, minus(n1000, n1)) & (gt(pv5, n0) | (leq(n0, n0) & leq(n0, n1) & leq(n0, n2) & leq(n0, n3) & leq(n0, n4) & leq(n0, n5) & leq(n0, n6) & leq(n0, n7) & leq(n0, pv5) & leq(n0, minus(n6, n1)) & leq(n1, n7) & leq(n1, minus(n6, n1)) & leq(n2, n7) & leq(n2, minus(n6, n1)) & leq(n3, n7) & leq(n3, minus(n6, n1)) & leq(n4, n7) & leq(n4, minus(n6, n1)) & leq(n5, n7) & leq(n5, minus(n6, n1)) & leq(n6, n7) & leq(n7, n7) & leq(pv5, n588) & leq(pv5, minus(n1000, n1)))) & ((~gt(pv5, n0)) | (leq(n0, n0) & leq(n0, n1) & leq(n0, n2) & leq(n0, n3) & leq(n0, n4) & leq(n0, n5) & leq(n0, n6) & leq(n0, n7) & leq(n0, pv5) & leq(n0, minus(n4, n1)) & leq(n0, minus(n6, n1)) & leq(n1, n7) & leq(n1, minus(n4, n1)) & leq(n1, minus(n6, n1)) & leq(n2, n7) & leq(n2, minus(n4, n1)) & leq(n2, minus(n6, n1)) & leq(n3, n7) & leq(n3, minus(n4, n1)) & leq(n3, minus(n6, n1)) & leq(n4, n7) & leq(n4, minus(n6, n1)) & leq(n5, n7) & leq(n5, minus(n6, n1)) & leq(n6, n7) & leq(n7, n7) & leq(pv5, n588) & leq(pv5, minus(n1000, n1)))))))))) & ((~gt(pv5, n0)) | (leq(n0, n0) & leq(n0, n1) & leq(n0, n2) & leq(n0, n3) & leq(n0, n4) & leq(n0, n5) & leq(n0, n6) & leq(n0, n7) & leq(n0, pv5) & leq(n0, minus(n6, n1)) & leq(n1, n7) & leq(n1, minus(n6, n1)) & leq(n2, n7) & leq(n2, minus(n6, n1)) & leq(n3, n7) & leq(n4, n7) & leq(n4, minus(n6, n1)) & leq(n5, n7) & leq(n5, minus(n6, n1)) & leq(n6, n7) & leq(n7, n7) & leq(pv5, minus(n1000, n1)) & (gt(pv5, n0) | ((gt(pv5, n0) | ((gt(pv5, n0) | (leq(n0, n0) & leq(n0, n1) & leq(n0, n2) & leq(n0, n3) & leq(n0, n4) & leq(n0, n5) & leq(n0, n6) & leq(n0, n7) & leq(n0, pv5) & leq(n0, minus(n6, n1)) & leq(n1, n7) & leq(n1, minus(n6, n1)) & leq(n2, n7) & leq(n2, minus(n6, n1)) & leq(n3, n7) & leq(n3, minus(n6, n1)) & leq(n4, n7) & leq(n4, minus(n6, n1)) & leq(n5, n7) & leq(n5, minus(n6, n1)) & leq(n6, n7) & leq(n7, n7) & leq(pv5, n588) & leq(pv5, minus(n1000, n1)))) & ((~gt(pv5, n0)) | (leq(n0, n0) & leq(n0, n1) & leq(n0, n2) & leq(n0, n3) & leq(n0, n4) & leq(n0, n5) & leq(n0, n6) & leq(n0, n7) & leq(n0, pv5) & leq(n0, minus(n4, n1)) & leq(n0, minus(n6, n1)) & leq(n1, n7) & leq(n1, minus(n4, n1)) & leq(n1, minus(n6, n1)) & leq(n2, n7) & leq(n2, minus(n4, n1)) & leq(n2, minus(n6, n1)) & leq(n3, n7) & leq(n3, minus(n4, n1)) & leq(n3, minus(n6, n1)) & leq(n4, n7) & leq(n4, minus(n6, n1)) & leq(n5, n7) & leq(n5, minus(n6, n1)) & leq(n6, n7) & leq(n7, n7) & leq(pv5, n588) & leq(pv5, minus(n1000, n1)))))) & ((~gt(pv5, n0)) | (leq(n0, n0) & leq(n0, n1) & leq(n0, n2) & leq(n0, n3) & leq(n0, pv5) & leq(n0, minus(n4, n1)) & leq(n1, minus(n4, n1)) & leq(n2, minus(n4, n1)) & leq(n3, minus(n4, n1)) & leq(pv5, minus(n1000, n1)) & (gt(pv5, n0) | (leq(n0, n0) & leq(n0, n1) & leq(n0, n2) & leq(n0, n3) & leq(n0, n4) & leq(n0, n5) & leq(n0, n6) & leq(n0, n7) & leq(n0, pv5) & leq(n0, minus(n6, n1)) & leq(n1, n7) & leq(n1, minus(n6, n1)) & leq(n2, n7) & leq(n2, minus(n6, n1)) & leq(n3, n7) & leq(n3, minus(n6, n1)) & leq(n4, n7) & leq(n4, minus(n6, n1)) & leq(n5, n7) & leq(n5, minus(n6, n1)) & leq(n6, n7) & leq(n7, n7) & leq(pv5, n588) & leq(pv5, minus(n1000, n1)))) & ((~gt(pv5, n0)) | (leq(n0, n0) & leq(n0, n1) & leq(n0, n2) & leq(n0, n3) & leq(n0, n4) & leq(n0, n5) & leq(n0, n6) & leq(n0, n7) & leq(n0, pv5) & leq(n0, minus(n4, n1)) & leq(n0, minus(n6, n1)) & leq(n1, n7) & leq(n1, minus(n4, n1)) & leq(n1, minus(n6, n1)) & leq(n2, n7) & leq(n2, minus(n4, n1)) & leq(n2, minus(n6, n1)) & leq(n3, n7) & leq(n3, minus(n4, n1)) & leq(n3, minus(n6, n1)) & leq(n4, n7) & leq(n4, minus(n6, n1)) & leq(n5, n7) & leq(n5, minus(n6, n1)) & leq(n6, n7) & leq(n7, n7) & leq(pv5, n588) & leq(pv5, minus(n1000, n1)))))))) & ((~gt(pv5, n0)) | (leq(n0, n0) & leq(n0, n1) & leq(n0, n2) & leq(n0, n3) & leq(n0, n4) & leq(n0, n5) & leq(n0, n6) & leq(n0, n7) & leq(n0, pv5) & leq(n0, minus(n6, n1)) & leq(n1, n7) & leq(n2, n7) & leq(n3, n7) & leq(n3, minus(n6, n1)) & leq(n4, n7) & leq(n5, n7) & leq(n6, n7) & leq(n7, n7) & leq(pv5, minus(n1000, n1)) & (gt(pv5, n0) | ((gt(pv5, n0) | (leq(n0, n0) & leq(n0, n1) & leq(n0, n2) & leq(n0, n3) & leq(n0, n4) & leq(n0, n5) & leq(n0, n6) & leq(n0, n7) & leq(n0, pv5) & leq(n0, minus(n6, n1)) & leq(n1, n7) & leq(n1, minus(n6, n1)) & leq(n2, n7) & leq(n2, minus(n6, n1)) & leq(n3, n7) & leq(n3, minus(n6, n1)) & leq(n4, n7) & leq(n4, minus(n6, n1)) & leq(n5, n7) & leq(n5, minus(n6, n1)) & leq(n6, n7) & leq(n7, n7) & leq(pv5, n588) & leq(pv5, minus(n1000, n1)))) & ((~gt(pv5, n0)) | (leq(n0, n0) & leq(n0, n1) & leq(n0, n2) & leq(n0, n3) & leq(n0, n4) & leq(n0, n5) & leq(n0, n6) & leq(n0, n7) & leq(n0, pv5) & leq(n0, minus(n4, n1)) & leq(n0, minus(n6, n1)) & leq(n1, n7) & leq(n1, minus(n4, n1)) & leq(n1, minus(n6, n1)) & leq(n2, n7) & leq(n2, minus(n4, n1)) & leq(n2, minus(n6, n1)) & leq(n3, n7) & leq(n3, minus(n4, n1)) & leq(n3, minus(n6, n1)) & leq(n4, n7) & leq(n4, minus(n6, n1)) & leq(n5, n7) & leq(n5, minus(n6, n1)) & leq(n6, n7) & leq(n7, n7) & leq(pv5, n588) & leq(pv5, minus(n1000, n1)))))) & ((~gt(pv5, n0)) | (leq(n0, n0) & leq(n0, n1) & leq(n0, n2) & leq(n0, n3) & leq(n0, pv5) & leq(n0, minus(n4, n1)) & leq(n1, minus(n4, n1)) & leq(n2, minus(n4, n1)) & leq(n3, minus(n4, n1)) & leq(pv5, minus(n1000, n1)) & (gt(pv5, n0) | (leq(n0, n0) & leq(n0, n1) & leq(n0, n2) & leq(n0, n3) & leq(n0, n4) & leq(n0, n5) & leq(n0, n6) & leq(n0, n7) & leq(n0, pv5) & leq(n0, minus(n6, n1)) & leq(n1, n7) & leq(n1, minus(n6, n1)) & leq(n2, n7) & leq(n2, minus(n6, n1)) & leq(n3, n7) & leq(n3, minus(n6, n1)) & leq(n4, n7) & leq(n4, minus(n6, n1)) & leq(n5, n7) & leq(n5, minus(n6, n1)) & leq(n6, n7) & leq(n7, n7) & leq(pv5, n588) & leq(pv5, minus(n1000, n1)))) & ((~gt(pv5, n0)) | (leq(n0, n0) & leq(n0, n1) & leq(n0, n2) & leq(n0, n3) & leq(n0, n4) & leq(n0, n5) & leq(n0, n6) & leq(n0, n7) & leq(n0, pv5) & leq(n0, minus(n4, n1)) & leq(n0, minus(n6, n1)) & leq(n1, n7) & leq(n1, minus(n4, n1)) & leq(n1, minus(n6, n1)) & leq(n2, n7) & leq(n2, minus(n4, n1)) & leq(n2, minus(n6, n1)) & leq(n3, n7) & leq(n3, minus(n4, n1)) & leq(n3, minus(n6, n1)) & leq(n4, n7) & leq(n4, minus(n6, n1)) & leq(n5, n7) & leq(n5, minus(n6, n1)) & leq(n6, n7) & leq(n7, n7) & leq(pv5, n588) & leq(pv5, minus(n1000, n1)))))))))))) & (true | (~leq(n0, a_select2(sigma, pv23))) | (~(leq(n0, pv23) & leq(pv23, minus(n6, n1))))) & (true | (~(geq(minus(n4, n1), n0) & geq(minus(n1000, n1), n0))) | (~geq(minus(n6, n1), n0)))) | (~(geq(n7, n0) & geq(minus(n1000, n1), n0)))))),
% 0.20/0.59 inference(rewrite,[status(thm)],[])).
% 0.20/0.59 tff(287,axiom,(~((geq(minus(n4, n1), n0) & geq(minus(n1000, n1), n0)) => ![A: $i] : ((geq(n7, n0) & geq(minus(n1000, n1), n0)) => ![B: $i] : (((((((((((true => true) & (true => (((((((((((((((((((((((((leq(n0, n0) & leq(n0, n1)) & leq(n0, n2)) & leq(n0, n3)) & leq(n0, n4)) & leq(n0, n5)) & leq(n0, n6)) & leq(n0, n7)) & leq(n0, minus(n4, n1))) & leq(n0, minus(n6, n1))) & leq(n0, minus(n1000, n1))) & leq(n1, n7)) & leq(n1, minus(n4, n1))) & leq(n1, minus(n6, n1))) & leq(n2, n7)) & leq(n2, minus(n4, n1))) & leq(n2, minus(n6, n1))) & leq(n3, n7)) & leq(n3, minus(n4, n1))) & leq(n3, minus(n6, n1))) & leq(n4, n7)) & leq(n4, minus(n6, n1))) & leq(n5, n7)) & leq(n5, minus(n6, n1))) & leq(n6, n7)) & leq(n7, n7)))) & ((((leq(n0, pv5) & leq(n0, pv21)) & leq(pv5, n588)) & leq(pv21, minus(n6, n1))) => (((((leq(n0, n0) & leq(n0, pv5)) & leq(n0, pv21)) & leq(pv5, n588)) & leq(pv21, n5)) & leq(pv21, minus(n6, n1))))) & ((((((leq(n0, pv5) & leq(n0, pv31)) & leq(n0, pv32)) & leq(pv5, n588)) & leq(pv31, minus(n6, n1))) & leq(pv32, minus(n6, n1))) => (((~(pv31 = pv32)) => (((((leq(n0, pv5) & leq(n0, pv31)) & leq(n0, pv32)) & leq(pv5, n588)) & leq(pv31, minus(n6, n1))) & leq(pv32, minus(n6, n1)))) & ((pv31 = pv32) => (((((leq(n0, pv5) & leq(n0, pv31)) & leq(n0, pv32)) & leq(pv5, n588)) & leq(pv31, minus(n6, n1))) & leq(pv32, minus(n6, n1))))))) & ((((leq(n0, pv5) & leq(n0, pv31)) & leq(pv5, n588)) & leq(pv31, minus(n6, n1))) => (((leq(n0, pv5) & leq(n0, pv31)) & leq(pv5, n588)) & leq(pv31, minus(n6, n1))))) & ((((leq(n0, pv5) & leq(n0, pv31)) & leq(pv5, n588)) & leq(pv31, minus(n6, n1))) => (leq(n0, pv5) & leq(pv5, n588)))) & ((leq(n0, pv5) & leq(pv5, n588)) => true)) & ((leq(n0, pv5) & leq(pv5, n588)) => ((((((((((((((leq(n0, n0) & leq(n0, n1)) & leq(n0, n2)) & leq(n0, n3)) & leq(n0, pv5)) & leq(n0, minus(n4, n1))) & leq(n0, minus(n6, n1))) & leq(n1, minus(n4, n1))) & leq(n1, minus(n6, n1))) & leq(n2, minus(n4, n1))) & leq(n2, minus(n6, n1))) & leq(n3, minus(n4, n1))) & leq(pv5, minus(n1000, n1))) & ((~gt(pv5, n0)) => (((~gt(pv5, n0)) => (((~gt(pv5, n0)) => (((~gt(pv5, n0)) => (((((((((((((((((((((((leq(n0, n0) & leq(n0, n1)) & leq(n0, n2)) & leq(n0, n3)) & leq(n0, n4)) & leq(n0, n5)) & leq(n0, n6)) & leq(n0, n7)) & leq(n0, pv5)) & leq(n0, minus(n6, n1))) & leq(n1, n7)) & leq(n1, minus(n6, n1))) & leq(n2, n7)) & leq(n2, minus(n6, n1))) & leq(n3, n7)) & leq(n3, minus(n6, n1))) & leq(n4, n7)) & leq(n4, minus(n6, n1))) & leq(n5, n7)) & leq(n5, minus(n6, n1))) & leq(n6, n7)) & leq(n7, n7)) & leq(pv5, n588)) & leq(pv5, minus(n1000, n1)))) & (gt(pv5, n0) => (((((((((((((((((((((((((((leq(n0, n0) & leq(n0, n1)) & leq(n0, n2)) & leq(n0, n3)) & leq(n0, n4)) & leq(n0, n5)) & leq(n0, n6)) & leq(n0, n7)) & leq(n0, pv5)) & leq(n0, minus(n4, n1))) & leq(n0, minus(n6, n1))) & leq(n1, n7)) & leq(n1, minus(n4, n1))) & leq(n1, minus(n6, n1))) & leq(n2, n7)) & leq(n2, minus(n4, n1))) & leq(n2, minus(n6, n1))) & leq(n3, n7)) & leq(n3, minus(n4, n1))) & leq(n3, minus(n6, n1))) & leq(n4, n7)) & leq(n4, minus(n6, n1))) & leq(n5, n7)) & leq(n5, minus(n6, n1))) & leq(n6, n7)) & leq(n7, n7)) & leq(pv5, n588)) & leq(pv5, minus(n1000, n1)))))) & (gt(pv5, n0) => (((((((((((leq(n0, n0) & leq(n0, n1)) & leq(n0, n2)) & leq(n0, n3)) & leq(n0, pv5)) & leq(n0, minus(n4, n1))) & leq(n1, minus(n4, n1))) & leq(n2, minus(n4, n1))) & leq(n3, minus(n4, n1))) & leq(pv5, minus(n1000, n1))) & ((~gt(pv5, n0)) => (((((((((((((((((((((((leq(n0, n0) & leq(n0, n1)) & leq(n0, n2)) & leq(n0, n3)) & leq(n0, n4)) & leq(n0, n5)) & leq(n0, n6)) & leq(n0, n7)) & leq(n0, pv5)) & leq(n0, minus(n6, n1))) & leq(n1, n7)) & leq(n1, minus(n6, n1))) & leq(n2, n7)) & leq(n2, minus(n6, n1))) & leq(n3, n7)) & leq(n3, minus(n6, n1))) & leq(n4, n7)) & leq(n4, minus(n6, n1))) & leq(n5, n7)) & leq(n5, minus(n6, n1))) & leq(n6, n7)) & leq(n7, n7)) & leq(pv5, n588)) & leq(pv5, minus(n1000, n1))))) & (gt(pv5, n0) => (((((((((((((((((((((((((((leq(n0, n0) & leq(n0, n1)) & leq(n0, n2)) & leq(n0, n3)) & leq(n0, n4)) & leq(n0, n5)) & leq(n0, n6)) & leq(n0, n7)) & leq(n0, pv5)) & leq(n0, minus(n4, n1))) & leq(n0, minus(n6, n1))) & leq(n1, n7)) & leq(n1, minus(n4, n1))) & leq(n1, minus(n6, n1))) & leq(n2, n7)) & leq(n2, minus(n4, n1))) & leq(n2, minus(n6, n1))) & leq(n3, n7)) & leq(n3, minus(n4, n1))) & leq(n3, minus(n6, n1))) & leq(n4, n7)) & leq(n4, minus(n6, n1))) & leq(n5, n7)) & leq(n5, minus(n6, n1))) & leq(n6, n7)) & leq(n7, n7)) & leq(pv5, n588)) & leq(pv5, minus(n1000, n1)))))))) & (gt(pv5, n0) => ((((((((((((((((((((leq(n0, n0) & leq(n0, n1)) & leq(n0, n2)) & leq(n0, n3)) & leq(n0, n4)) & leq(n0, n5)) & leq(n0, n6)) & leq(n0, n7)) & leq(n0, pv5)) & leq(n0, minus(n6, n1))) & leq(n1, n7)) & leq(n2, n7)) & leq(n3, n7)) & leq(n3, minus(n6, n1))) & leq(n4, n7)) & leq(n5, n7)) & leq(n6, n7)) & leq(n7, n7)) & leq(pv5, minus(n1000, n1))) & ((~gt(pv5, n0)) => (((~gt(pv5, n0)) => (((((((((((((((((((((((leq(n0, n0) & leq(n0, n1)) & leq(n0, n2)) & leq(n0, n3)) & leq(n0, n4)) & leq(n0, n5)) & leq(n0, n6)) & leq(n0, n7)) & leq(n0, pv5)) & leq(n0, minus(n6, n1))) & leq(n1, n7)) & leq(n1, minus(n6, n1))) & leq(n2, n7)) & leq(n2, minus(n6, n1))) & leq(n3, n7)) & leq(n3, minus(n6, n1))) & leq(n4, n7)) & leq(n4, minus(n6, n1))) & leq(n5, n7)) & leq(n5, minus(n6, n1))) & leq(n6, n7)) & leq(n7, n7)) & leq(pv5, n588)) & leq(pv5, minus(n1000, n1)))) & (gt(pv5, n0) => (((((((((((((((((((((((((((leq(n0, n0) & leq(n0, n1)) & leq(n0, n2)) & leq(n0, n3)) & leq(n0, n4)) & leq(n0, n5)) & leq(n0, n6)) & leq(n0, n7)) & leq(n0, pv5)) & leq(n0, minus(n4, n1))) & leq(n0, minus(n6, n1))) & leq(n1, n7)) & leq(n1, minus(n4, n1))) & leq(n1, minus(n6, n1))) & leq(n2, n7)) & leq(n2, minus(n4, n1))) & leq(n2, minus(n6, n1))) & leq(n3, n7)) & leq(n3, minus(n4, n1))) & leq(n3, minus(n6, n1))) & leq(n4, n7)) & leq(n4, minus(n6, n1))) & leq(n5, n7)) & leq(n5, minus(n6, n1))) & leq(n6, n7)) & leq(n7, n7)) & leq(pv5, n588)) & leq(pv5, minus(n1000, n1))))))) & (gt(pv5, n0) => (((((((((((leq(n0, n0) & leq(n0, n1)) & leq(n0, n2)) & leq(n0, n3)) & leq(n0, pv5)) & leq(n0, minus(n4, n1))) & leq(n1, minus(n4, n1))) & leq(n2, minus(n4, n1))) & leq(n3, minus(n4, n1))) & leq(pv5, minus(n1000, n1))) & ((~gt(pv5, n0)) => (((((((((((((((((((((((leq(n0, n0) & leq(n0, n1)) & leq(n0, n2)) & leq(n0, n3)) & leq(n0, n4)) & leq(n0, n5)) & leq(n0, n6)) & leq(n0, n7)) & leq(n0, pv5)) & leq(n0, minus(n6, n1))) & leq(n1, n7)) & leq(n1, minus(n6, n1))) & leq(n2, n7)) & leq(n2, minus(n6, n1))) & leq(n3, n7)) & leq(n3, minus(n6, n1))) & leq(n4, n7)) & leq(n4, minus(n6, n1))) & leq(n5, n7)) & leq(n5, minus(n6, n1))) & leq(n6, n7)) & leq(n7, n7)) & leq(pv5, n588)) & leq(pv5, minus(n1000, n1))))) & (gt(pv5, n0) => (((((((((((((((((((((((((((leq(n0, n0) & leq(n0, n1)) & leq(n0, n2)) & leq(n0, n3)) & leq(n0, n4)) & leq(n0, n5)) & leq(n0, n6)) & leq(n0, n7)) & leq(n0, pv5)) & leq(n0, minus(n4, n1))) & leq(n0, minus(n6, n1))) & leq(n1, n7)) & leq(n1, minus(n4, n1))) & leq(n1, minus(n6, n1))) & leq(n2, n7)) & leq(n2, minus(n4, n1))) & leq(n2, minus(n6, n1))) & leq(n3, n7)) & leq(n3, minus(n4, n1))) & leq(n3, minus(n6, n1))) & leq(n4, n7)) & leq(n4, minus(n6, n1))) & leq(n5, n7)) & leq(n5, minus(n6, n1))) & leq(n6, n7)) & leq(n7, n7)) & leq(pv5, n588)) & leq(pv5, minus(n1000, n1))))))))))) & (gt(pv5, n0) => (((((((((((((((((((((((leq(n0, n0) & leq(n0, n1)) & leq(n0, n2)) & leq(n0, n3)) & leq(n0, n4)) & leq(n0, n5)) & leq(n0, n6)) & leq(n0, n7)) & leq(n0, pv5)) & leq(n0, minus(n6, n1))) & leq(n1, n7)) & leq(n1, minus(n6, n1))) & leq(n2, n7)) & leq(n2, minus(n6, n1))) & leq(n3, n7)) & leq(n4, n7)) & leq(n4, minus(n6, n1))) & leq(n5, n7)) & leq(n5, minus(n6, n1))) & leq(n6, n7)) & leq(n7, n7)) & leq(pv5, minus(n1000, n1))) & ((~gt(pv5, n0)) => (((~gt(pv5, n0)) => (((~gt(pv5, n0)) => (((((((((((((((((((((((leq(n0, n0) & leq(n0, n1)) & leq(n0, n2)) & leq(n0, n3)) & leq(n0, n4)) & leq(n0, n5)) & leq(n0, n6)) & leq(n0, n7)) & leq(n0, pv5)) & leq(n0, minus(n6, n1))) & leq(n1, n7)) & leq(n1, minus(n6, n1))) & leq(n2, n7)) & leq(n2, minus(n6, n1))) & leq(n3, n7)) & leq(n3, minus(n6, n1))) & leq(n4, n7)) & leq(n4, minus(n6, n1))) & leq(n5, n7)) & leq(n5, minus(n6, n1))) & leq(n6, n7)) & leq(n7, n7)) & leq(pv5, n588)) & leq(pv5, minus(n1000, n1)))) & (gt(pv5, n0) => (((((((((((((((((((((((((((leq(n0, n0) & leq(n0, n1)) & leq(n0, n2)) & leq(n0, n3)) & leq(n0, n4)) & leq(n0, n5)) & leq(n0, n6)) & leq(n0, n7)) & leq(n0, pv5)) & leq(n0, minus(n4, n1))) & leq(n0, minus(n6, n1))) & leq(n1, n7)) & leq(n1, minus(n4, n1))) & leq(n1, minus(n6, n1))) & leq(n2, n7)) & leq(n2, minus(n4, n1))) & leq(n2, minus(n6, n1))) & leq(n3, n7)) & leq(n3, minus(n4, n1))) & leq(n3, minus(n6, n1))) & leq(n4, n7)) & leq(n4, minus(n6, n1))) & leq(n5, n7)) & leq(n5, minus(n6, n1))) & leq(n6, n7)) & leq(n7, n7)) & leq(pv5, n588)) & leq(pv5, minus(n1000, n1)))))) & (gt(pv5, n0) => (((((((((((leq(n0, n0) & leq(n0, n1)) & leq(n0, n2)) & leq(n0, n3)) & leq(n0, pv5)) & leq(n0, minus(n4, n1))) & leq(n1, minus(n4, n1))) & leq(n2, minus(n4, n1))) & leq(n3, minus(n4, n1))) & leq(pv5, minus(n1000, n1))) & ((~gt(pv5, n0)) => (((((((((((((((((((((((leq(n0, n0) & leq(n0, n1)) & leq(n0, n2)) & leq(n0, n3)) & leq(n0, n4)) & leq(n0, n5)) & leq(n0, n6)) & leq(n0, n7)) & leq(n0, pv5)) & leq(n0, minus(n6, n1))) & leq(n1, n7)) & leq(n1, minus(n6, n1))) & leq(n2, n7)) & leq(n2, minus(n6, n1))) & leq(n3, n7)) & leq(n3, minus(n6, n1))) & leq(n4, n7)) & leq(n4, minus(n6, n1))) & leq(n5, n7)) & leq(n5, minus(n6, n1))) & leq(n6, n7)) & leq(n7, n7)) & leq(pv5, n588)) & leq(pv5, minus(n1000, n1))))) & (gt(pv5, n0) => (((((((((((((((((((((((((((leq(n0, n0) & leq(n0, n1)) & leq(n0, n2)) & leq(n0, n3)) & leq(n0, n4)) & leq(n0, n5)) & leq(n0, n6)) & leq(n0, n7)) & leq(n0, pv5)) & leq(n0, minus(n4, n1))) & leq(n0, minus(n6, n1))) & leq(n1, n7)) & leq(n1, minus(n4, n1))) & leq(n1, minus(n6, n1))) & leq(n2, n7)) & leq(n2, minus(n4, n1))) & leq(n2, minus(n6, n1))) & leq(n3, n7)) & leq(n3, minus(n4, n1))) & leq(n3, minus(n6, n1))) & leq(n4, n7)) & leq(n4, minus(n6, n1))) & leq(n5, n7)) & leq(n5, minus(n6, n1))) & leq(n6, n7)) & leq(n7, n7)) & leq(pv5, n588)) & leq(pv5, minus(n1000, n1))))))))) & (gt(pv5, n0) => ((((((((((((((((((((leq(n0, n0) & leq(n0, n1)) & leq(n0, n2)) & leq(n0, n3)) & leq(n0, n4)) & leq(n0, n5)) & leq(n0, n6)) & leq(n0, n7)) & leq(n0, pv5)) & leq(n0, minus(n6, n1))) & leq(n1, n7)) & leq(n2, n7)) & leq(n3, n7)) & leq(n3, minus(n6, n1))) & leq(n4, n7)) & leq(n5, n7)) & leq(n6, n7)) & leq(n7, n7)) & leq(pv5, minus(n1000, n1))) & ((~gt(pv5, n0)) => (((~gt(pv5, n0)) => (((((((((((((((((((((((leq(n0, n0) & leq(n0, n1)) & leq(n0, n2)) & leq(n0, n3)) & leq(n0, n4)) & leq(n0, n5)) & leq(n0, n6)) & leq(n0, n7)) & leq(n0, pv5)) & leq(n0, minus(n6, n1))) & leq(n1, n7)) & leq(n1, minus(n6, n1))) & leq(n2, n7)) & leq(n2, minus(n6, n1))) & leq(n3, n7)) & leq(n3, minus(n6, n1))) & leq(n4, n7)) & leq(n4, minus(n6, n1))) & leq(n5, n7)) & leq(n5, minus(n6, n1))) & leq(n6, n7)) & leq(n7, n7)) & leq(pv5, n588)) & leq(pv5, minus(n1000, n1)))) & (gt(pv5, n0) => (((((((((((((((((((((((((((leq(n0, n0) & leq(n0, n1)) & leq(n0, n2)) & leq(n0, n3)) & leq(n0, n4)) & leq(n0, n5)) & leq(n0, n6)) & leq(n0, n7)) & leq(n0, pv5)) & leq(n0, minus(n4, n1))) & leq(n0, minus(n6, n1))) & leq(n1, n7)) & leq(n1, minus(n4, n1))) & leq(n1, minus(n6, n1))) & leq(n2, n7)) & leq(n2, minus(n4, n1))) & leq(n2, minus(n6, n1))) & leq(n3, n7)) & leq(n3, minus(n4, n1))) & leq(n3, minus(n6, n1))) & leq(n4, n7)) & leq(n4, minus(n6, n1))) & leq(n5, n7)) & leq(n5, minus(n6, n1))) & leq(n6, n7)) & leq(n7, n7)) & leq(pv5, n588)) & leq(pv5, minus(n1000, n1))))))) & (gt(pv5, n0) => (((((((((((leq(n0, n0) & leq(n0, n1)) & leq(n0, n2)) & leq(n0, n3)) & leq(n0, pv5)) & leq(n0, minus(n4, n1))) & leq(n1, minus(n4, n1))) & leq(n2, minus(n4, n1))) & leq(n3, minus(n4, n1))) & leq(pv5, minus(n1000, n1))) & ((~gt(pv5, n0)) => (((((((((((((((((((((((leq(n0, n0) & leq(n0, n1)) & leq(n0, n2)) & leq(n0, n3)) & leq(n0, n4)) & leq(n0, n5)) & leq(n0, n6)) & leq(n0, n7)) & leq(n0, pv5)) & leq(n0, minus(n6, n1))) & leq(n1, n7)) & leq(n1, minus(n6, n1))) & leq(n2, n7)) & leq(n2, minus(n6, n1))) & leq(n3, n7)) & leq(n3, minus(n6, n1))) & leq(n4, n7)) & leq(n4, minus(n6, n1))) & leq(n5, n7)) & leq(n5, minus(n6, n1))) & leq(n6, n7)) & leq(n7, n7)) & leq(pv5, n588)) & leq(pv5, minus(n1000, n1))))) & (gt(pv5, n0) => (((((((((((((((((((((((((((leq(n0, n0) & leq(n0, n1)) & leq(n0, n2)) & leq(n0, n3)) & leq(n0, n4)) & leq(n0, n5)) & leq(n0, n6)) & leq(n0, n7)) & leq(n0, pv5)) & leq(n0, minus(n4, n1))) & leq(n0, minus(n6, n1))) & leq(n1, n7)) & leq(n1, minus(n4, n1))) & leq(n1, minus(n6, n1))) & leq(n2, n7)) & leq(n2, minus(n4, n1))) & leq(n2, minus(n6, n1))) & leq(n3, n7)) & leq(n3, minus(n4, n1))) & leq(n3, minus(n6, n1))) & leq(n4, n7)) & leq(n4, minus(n6, n1))) & leq(n5, n7)) & leq(n5, minus(n6, n1))) & leq(n6, n7)) & leq(n7, n7)) & leq(pv5, n588)) & leq(pv5, minus(n1000, n1))))))))))))) & ((leq(n0, pv5) & leq(pv5, n588)) => (leq(n0, pv5) & leq(pv5, n588)))) & ((leq(n0, pv23) & leq(pv23, minus(n6, n1))) => (leq(n0, a_select2(sigma, pv23)) => true))) & (geq(minus(n6, n1), n0) => (geq(minus(n6, n1), n0) => ((geq(minus(n4, n1), n0) & geq(minus(n1000, n1), n0)) => true))))))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','thruster_array_0001')).
% 0.52/0.60 tff(288,plain,
% 0.52/0.60 (~((~(geq(minus(n4, n1), n0) & geq(minus(n1000, n1), n0))) | (((~true) | (leq(n0, n0) & leq(n0, n1) & leq(n0, n2) & leq(n0, n3) & leq(n0, n4) & leq(n0, n5) & leq(n0, n6) & leq(n0, n7) & leq(n0, minus(n4, n1)) & leq(n0, minus(n6, n1)) & leq(n0, minus(n1000, n1)) & leq(n1, n7) & leq(n1, minus(n4, n1)) & leq(n1, minus(n6, n1)) & leq(n2, n7) & leq(n2, minus(n4, n1)) & leq(n2, minus(n6, n1)) & leq(n3, n7) & leq(n3, minus(n4, n1)) & leq(n3, minus(n6, n1)) & leq(n4, n7) & leq(n4, minus(n6, n1)) & leq(n5, n7) & leq(n5, minus(n6, n1)) & leq(n6, n7) & leq(n7, n7))) & ((~(leq(n0, pv5) & leq(n0, pv21) & leq(pv5, n588) & leq(pv21, minus(n6, n1)))) | (leq(n0, n0) & leq(n0, pv5) & leq(n0, pv21) & leq(pv5, n588) & leq(pv21, n5) & leq(pv21, minus(n6, n1)))) & ((~(leq(n0, pv5) & leq(n0, pv31) & leq(n0, pv32) & leq(pv5, n588) & leq(pv31, minus(n6, n1)) & leq(pv32, minus(n6, n1)))) | (((pv31 = pv32) | (leq(n0, pv5) & leq(n0, pv31) & leq(n0, pv32) & leq(pv5, n588) & leq(pv31, minus(n6, n1)) & leq(pv32, minus(n6, n1)))) & ((~(pv31 = pv32)) | (leq(n0, pv5) & leq(n0, pv31) & leq(n0, pv32) & leq(pv5, n588) & leq(pv31, minus(n6, n1)) & leq(pv32, minus(n6, n1)))))) & ((~(leq(n0, pv5) & leq(n0, pv31) & leq(pv5, n588) & leq(pv31, minus(n6, n1)))) | (leq(n0, pv5) & leq(pv5, n588))) & (true | (~(leq(n0, pv5) & leq(pv5, n588)))) & ((~(leq(n0, pv5) & leq(pv5, n588))) | (leq(n0, n0) & leq(n0, n1) & leq(n0, n2) & leq(n0, n3) & leq(n0, pv5) & leq(n0, minus(n4, n1)) & leq(n0, minus(n6, n1)) & leq(n1, minus(n4, n1)) & leq(n1, minus(n6, n1)) & leq(n2, minus(n4, n1)) & leq(n2, minus(n6, n1)) & leq(n3, minus(n4, n1)) & leq(pv5, minus(n1000, n1)) & (gt(pv5, n0) | ((gt(pv5, n0) | ((gt(pv5, n0) | ((gt(pv5, n0) | (leq(n0, n0) & leq(n0, n1) & leq(n0, n2) & leq(n0, n3) & leq(n0, n4) & leq(n0, n5) & leq(n0, n6) & leq(n0, n7) & leq(n0, pv5) & leq(n0, minus(n6, n1)) & leq(n1, n7) & leq(n1, minus(n6, n1)) & leq(n2, n7) & leq(n2, minus(n6, n1)) & leq(n3, n7) & leq(n3, minus(n6, n1)) & leq(n4, n7) & leq(n4, minus(n6, n1)) & leq(n5, n7) & leq(n5, minus(n6, n1)) & leq(n6, n7) & leq(n7, n7) & leq(pv5, n588) & leq(pv5, minus(n1000, n1)))) & ((~gt(pv5, n0)) | (leq(n0, n0) & leq(n0, n1) & leq(n0, n2) & leq(n0, n3) & leq(n0, n4) & leq(n0, n5) & leq(n0, n6) & leq(n0, n7) & leq(n0, pv5) & leq(n0, minus(n4, n1)) & leq(n0, minus(n6, n1)) & leq(n1, n7) & leq(n1, minus(n4, n1)) & leq(n1, minus(n6, n1)) & leq(n2, n7) & leq(n2, minus(n4, n1)) & leq(n2, minus(n6, n1)) & leq(n3, n7) & leq(n3, minus(n4, n1)) & leq(n3, minus(n6, n1)) & leq(n4, n7) & leq(n4, minus(n6, n1)) & leq(n5, n7) & leq(n5, minus(n6, n1)) & leq(n6, n7) & leq(n7, n7) & leq(pv5, n588) & leq(pv5, minus(n1000, n1)))))) & ((~gt(pv5, n0)) | (leq(n0, n0) & leq(n0, n1) & leq(n0, n2) & leq(n0, n3) & leq(n0, pv5) & leq(n0, minus(n4, n1)) & leq(n1, minus(n4, n1)) & leq(n2, minus(n4, n1)) & leq(n3, minus(n4, n1)) & leq(pv5, minus(n1000, n1)) & (gt(pv5, n0) | (leq(n0, n0) & leq(n0, n1) & leq(n0, n2) & leq(n0, n3) & leq(n0, n4) & leq(n0, n5) & leq(n0, n6) & leq(n0, n7) & leq(n0, pv5) & leq(n0, minus(n6, n1)) & leq(n1, n7) & leq(n1, minus(n6, n1)) & leq(n2, n7) & leq(n2, minus(n6, n1)) & leq(n3, n7) & leq(n3, minus(n6, n1)) & leq(n4, n7) & leq(n4, minus(n6, n1)) & leq(n5, n7) & leq(n5, minus(n6, n1)) & leq(n6, n7) & leq(n7, n7) & leq(pv5, n588) & leq(pv5, minus(n1000, n1)))) & ((~gt(pv5, n0)) | (leq(n0, n0) & leq(n0, n1) & leq(n0, n2) & leq(n0, n3) & leq(n0, n4) & leq(n0, n5) & leq(n0, n6) & leq(n0, n7) & leq(n0, pv5) & leq(n0, minus(n4, n1)) & leq(n0, minus(n6, n1)) & leq(n1, n7) & leq(n1, minus(n4, n1)) & leq(n1, minus(n6, n1)) & leq(n2, n7) & leq(n2, minus(n4, n1)) & leq(n2, minus(n6, n1)) & leq(n3, n7) & leq(n3, minus(n4, n1)) & leq(n3, minus(n6, n1)) & leq(n4, n7) & leq(n4, minus(n6, n1)) & leq(n5, n7) & leq(n5, minus(n6, n1)) & leq(n6, n7) & leq(n7, n7) & leq(pv5, n588) & leq(pv5, minus(n1000, n1)))))))) & ((~gt(pv5, n0)) | (leq(n0, n0) & leq(n0, n1) & leq(n0, n2) & leq(n0, n3) & leq(n0, n4) & leq(n0, n5) & leq(n0, n6) & leq(n0, n7) & leq(n0, pv5) & leq(n0, minus(n6, n1)) & leq(n1, n7) & leq(n2, n7) & leq(n3, n7) & leq(n3, minus(n6, n1)) & leq(n4, n7) & leq(n5, n7) & leq(n6, n7) & leq(n7, n7) & leq(pv5, minus(n1000, n1)) & (gt(pv5, n0) | ((gt(pv5, n0) | (leq(n0, n0) & leq(n0, n1) & leq(n0, n2) & leq(n0, n3) & leq(n0, n4) & leq(n0, n5) & leq(n0, n6) & leq(n0, n7) & leq(n0, pv5) & leq(n0, minus(n6, n1)) & leq(n1, n7) & leq(n1, minus(n6, n1)) & leq(n2, n7) & leq(n2, minus(n6, n1)) & leq(n3, n7) & leq(n3, minus(n6, n1)) & leq(n4, n7) & leq(n4, minus(n6, n1)) & leq(n5, n7) & leq(n5, minus(n6, n1)) & leq(n6, n7) & leq(n7, n7) & leq(pv5, n588) & leq(pv5, minus(n1000, n1)))) & ((~gt(pv5, n0)) | (leq(n0, n0) & leq(n0, n1) & leq(n0, n2) & leq(n0, n3) & leq(n0, n4) & leq(n0, n5) & leq(n0, n6) & leq(n0, n7) & leq(n0, pv5) & leq(n0, minus(n4, n1)) & leq(n0, minus(n6, n1)) & leq(n1, n7) & leq(n1, minus(n4, n1)) & leq(n1, minus(n6, n1)) & leq(n2, n7) & leq(n2, minus(n4, n1)) & leq(n2, minus(n6, n1)) & leq(n3, n7) & leq(n3, minus(n4, n1)) & leq(n3, minus(n6, n1)) & leq(n4, n7) & leq(n4, minus(n6, n1)) & leq(n5, n7) & leq(n5, minus(n6, n1)) & leq(n6, n7) & leq(n7, n7) & leq(pv5, n588) & leq(pv5, minus(n1000, n1)))))) & ((~gt(pv5, n0)) | (leq(n0, n0) & leq(n0, n1) & leq(n0, n2) & leq(n0, n3) & leq(n0, pv5) & leq(n0, minus(n4, n1)) & leq(n1, minus(n4, n1)) & leq(n2, minus(n4, n1)) & leq(n3, minus(n4, n1)) & leq(pv5, minus(n1000, n1)) & (gt(pv5, n0) | (leq(n0, n0) & leq(n0, n1) & leq(n0, n2) & leq(n0, n3) & leq(n0, n4) & leq(n0, n5) & leq(n0, n6) & leq(n0, n7) & leq(n0, pv5) & leq(n0, minus(n6, n1)) & leq(n1, n7) & leq(n1, minus(n6, n1)) & leq(n2, n7) & leq(n2, minus(n6, n1)) & leq(n3, n7) & leq(n3, minus(n6, n1)) & leq(n4, n7) & leq(n4, minus(n6, n1)) & leq(n5, n7) & leq(n5, minus(n6, n1)) & leq(n6, n7) & leq(n7, n7) & leq(pv5, n588) & leq(pv5, minus(n1000, n1)))) & ((~gt(pv5, n0)) | (leq(n0, n0) & leq(n0, n1) & leq(n0, n2) & leq(n0, n3) & leq(n0, n4) & leq(n0, n5) & leq(n0, n6) & leq(n0, n7) & leq(n0, pv5) & leq(n0, minus(n4, n1)) & leq(n0, minus(n6, n1)) & leq(n1, n7) & leq(n1, minus(n4, n1)) & leq(n1, minus(n6, n1)) & leq(n2, n7) & leq(n2, minus(n4, n1)) & leq(n2, minus(n6, n1)) & leq(n3, n7) & leq(n3, minus(n4, n1)) & leq(n3, minus(n6, n1)) & leq(n4, n7) & leq(n4, minus(n6, n1)) & leq(n5, n7) & leq(n5, minus(n6, n1)) & leq(n6, n7) & leq(n7, n7) & leq(pv5, n588) & leq(pv5, minus(n1000, n1)))))))))) & ((~gt(pv5, n0)) | (leq(n0, n0) & leq(n0, n1) & leq(n0, n2) & leq(n0, n3) & leq(n0, n4) & leq(n0, n5) & leq(n0, n6) & leq(n0, n7) & leq(n0, pv5) & leq(n0, minus(n6, n1)) & leq(n1, n7) & leq(n1, minus(n6, n1)) & leq(n2, n7) & leq(n2, minus(n6, n1)) & leq(n3, n7) & leq(n4, n7) & leq(n4, minus(n6, n1)) & leq(n5, n7) & leq(n5, minus(n6, n1)) & leq(n6, n7) & leq(n7, n7) & leq(pv5, minus(n1000, n1)) & (gt(pv5, n0) | ((gt(pv5, n0) | ((gt(pv5, n0) | (leq(n0, n0) & leq(n0, n1) & leq(n0, n2) & leq(n0, n3) & leq(n0, n4) & leq(n0, n5) & leq(n0, n6) & leq(n0, n7) & leq(n0, pv5) & leq(n0, minus(n6, n1)) & leq(n1, n7) & leq(n1, minus(n6, n1)) & leq(n2, n7) & leq(n2, minus(n6, n1)) & leq(n3, n7) & leq(n3, minus(n6, n1)) & leq(n4, n7) & leq(n4, minus(n6, n1)) & leq(n5, n7) & leq(n5, minus(n6, n1)) & leq(n6, n7) & leq(n7, n7) & leq(pv5, n588) & leq(pv5, minus(n1000, n1)))) & ((~gt(pv5, n0)) | (leq(n0, n0) & leq(n0, n1) & leq(n0, n2) & leq(n0, n3) & leq(n0, n4) & leq(n0, n5) & leq(n0, n6) & leq(n0, n7) & leq(n0, pv5) & leq(n0, minus(n4, n1)) & leq(n0, minus(n6, n1)) & leq(n1, n7) & leq(n1, minus(n4, n1)) & leq(n1, minus(n6, n1)) & leq(n2, n7) & leq(n2, minus(n4, n1)) & leq(n2, minus(n6, n1)) & leq(n3, n7) & leq(n3, minus(n4, n1)) & leq(n3, minus(n6, n1)) & leq(n4, n7) & leq(n4, minus(n6, n1)) & leq(n5, n7) & leq(n5, minus(n6, n1)) & leq(n6, n7) & leq(n7, n7) & leq(pv5, n588) & leq(pv5, minus(n1000, n1)))))) & ((~gt(pv5, n0)) | (leq(n0, n0) & leq(n0, n1) & leq(n0, n2) & leq(n0, n3) & leq(n0, pv5) & leq(n0, minus(n4, n1)) & leq(n1, minus(n4, n1)) & leq(n2, minus(n4, n1)) & leq(n3, minus(n4, n1)) & leq(pv5, minus(n1000, n1)) & (gt(pv5, n0) | (leq(n0, n0) & leq(n0, n1) & leq(n0, n2) & leq(n0, n3) & leq(n0, n4) & leq(n0, n5) & leq(n0, n6) & leq(n0, n7) & leq(n0, pv5) & leq(n0, minus(n6, n1)) & leq(n1, n7) & leq(n1, minus(n6, n1)) & leq(n2, n7) & leq(n2, minus(n6, n1)) & leq(n3, n7) & leq(n3, minus(n6, n1)) & leq(n4, n7) & leq(n4, minus(n6, n1)) & leq(n5, n7) & leq(n5, minus(n6, n1)) & leq(n6, n7) & leq(n7, n7) & leq(pv5, n588) & leq(pv5, minus(n1000, n1)))) & ((~gt(pv5, n0)) | (leq(n0, n0) & leq(n0, n1) & leq(n0, n2) & leq(n0, n3) & leq(n0, n4) & leq(n0, n5) & leq(n0, n6) & leq(n0, n7) & leq(n0, pv5) & leq(n0, minus(n4, n1)) & leq(n0, minus(n6, n1)) & leq(n1, n7) & leq(n1, minus(n4, n1)) & leq(n1, minus(n6, n1)) & leq(n2, n7) & leq(n2, minus(n4, n1)) & leq(n2, minus(n6, n1)) & leq(n3, n7) & leq(n3, minus(n4, n1)) & leq(n3, minus(n6, n1)) & leq(n4, n7) & leq(n4, minus(n6, n1)) & leq(n5, n7) & leq(n5, minus(n6, n1)) & leq(n6, n7) & leq(n7, n7) & leq(pv5, n588) & leq(pv5, minus(n1000, n1)))))))) & ((~gt(pv5, n0)) | (leq(n0, n0) & leq(n0, n1) & leq(n0, n2) & leq(n0, n3) & leq(n0, n4) & leq(n0, n5) & leq(n0, n6) & leq(n0, n7) & leq(n0, pv5) & leq(n0, minus(n6, n1)) & leq(n1, n7) & leq(n2, n7) & leq(n3, n7) & leq(n3, minus(n6, n1)) & leq(n4, n7) & leq(n5, n7) & leq(n6, n7) & leq(n7, n7) & leq(pv5, minus(n1000, n1)) & (gt(pv5, n0) | ((gt(pv5, n0) | (leq(n0, n0) & leq(n0, n1) & leq(n0, n2) & leq(n0, n3) & leq(n0, n4) & leq(n0, n5) & leq(n0, n6) & leq(n0, n7) & leq(n0, pv5) & leq(n0, minus(n6, n1)) & leq(n1, n7) & leq(n1, minus(n6, n1)) & leq(n2, n7) & leq(n2, minus(n6, n1)) & leq(n3, n7) & leq(n3, minus(n6, n1)) & leq(n4, n7) & leq(n4, minus(n6, n1)) & leq(n5, n7) & leq(n5, minus(n6, n1)) & leq(n6, n7) & leq(n7, n7) & leq(pv5, n588) & leq(pv5, minus(n1000, n1)))) & ((~gt(pv5, n0)) | (leq(n0, n0) & leq(n0, n1) & leq(n0, n2) & leq(n0, n3) & leq(n0, n4) & leq(n0, n5) & leq(n0, n6) & leq(n0, n7) & leq(n0, pv5) & leq(n0, minus(n4, n1)) & leq(n0, minus(n6, n1)) & leq(n1, n7) & leq(n1, minus(n4, n1)) & leq(n1, minus(n6, n1)) & leq(n2, n7) & leq(n2, minus(n4, n1)) & leq(n2, minus(n6, n1)) & leq(n3, n7) & leq(n3, minus(n4, n1)) & leq(n3, minus(n6, n1)) & leq(n4, n7) & leq(n4, minus(n6, n1)) & leq(n5, n7) & leq(n5, minus(n6, n1)) & leq(n6, n7) & leq(n7, n7) & leq(pv5, n588) & leq(pv5, minus(n1000, n1)))))) & ((~gt(pv5, n0)) | (leq(n0, n0) & leq(n0, n1) & leq(n0, n2) & leq(n0, n3) & leq(n0, pv5) & leq(n0, minus(n4, n1)) & leq(n1, minus(n4, n1)) & leq(n2, minus(n4, n1)) & leq(n3, minus(n4, n1)) & leq(pv5, minus(n1000, n1)) & (gt(pv5, n0) | (leq(n0, n0) & leq(n0, n1) & leq(n0, n2) & leq(n0, n3) & leq(n0, n4) & leq(n0, n5) & leq(n0, n6) & leq(n0, n7) & leq(n0, pv5) & leq(n0, minus(n6, n1)) & leq(n1, n7) & leq(n1, minus(n6, n1)) & leq(n2, n7) & leq(n2, minus(n6, n1)) & leq(n3, n7) & leq(n3, minus(n6, n1)) & leq(n4, n7) & leq(n4, minus(n6, n1)) & leq(n5, n7) & leq(n5, minus(n6, n1)) & leq(n6, n7) & leq(n7, n7) & leq(pv5, n588) & leq(pv5, minus(n1000, n1)))) & ((~gt(pv5, n0)) | (leq(n0, n0) & leq(n0, n1) & leq(n0, n2) & leq(n0, n3) & leq(n0, n4) & leq(n0, n5) & leq(n0, n6) & leq(n0, n7) & leq(n0, pv5) & leq(n0, minus(n4, n1)) & leq(n0, minus(n6, n1)) & leq(n1, n7) & leq(n1, minus(n4, n1)) & leq(n1, minus(n6, n1)) & leq(n2, n7) & leq(n2, minus(n4, n1)) & leq(n2, minus(n6, n1)) & leq(n3, n7) & leq(n3, minus(n4, n1)) & leq(n3, minus(n6, n1)) & leq(n4, n7) & leq(n4, minus(n6, n1)) & leq(n5, n7) & leq(n5, minus(n6, n1)) & leq(n6, n7) & leq(n7, n7) & leq(pv5, n588) & leq(pv5, minus(n1000, n1)))))))))))) & (true | (~leq(n0, a_select2(sigma, pv23))) | (~(leq(n0, pv23) & leq(pv23, minus(n6, n1))))) & (true | (~(geq(minus(n4, n1), n0) & geq(minus(n1000, n1), n0))) | (~geq(minus(n6, n1), n0)))) | (~(geq(n7, n0) & geq(minus(n1000, n1), n0))))),
% 0.54/0.62 inference(modus_ponens,[status(thm)],[287, 286])).
% 0.54/0.62 tff(289,plain,
% 0.54/0.62 (geq(minus(n4, n1), n0) & geq(minus(n1000, n1), n0)),
% 0.54/0.62 inference(or_elim,[status(thm)],[288])).
% 0.54/0.62 tff(290,plain,
% 0.54/0.62 (geq(minus(n4, n1), n0)),
% 0.54/0.62 inference(and_elim,[status(thm)],[289])).
% 0.54/0.62 tff(291,plain,
% 0.54/0.62 (geq(minus(n4, n1), n0)),
% 0.54/0.62 inference(modus_ponens,[status(thm)],[290, 285])).
% 0.54/0.62 tff(292,plain,
% 0.54/0.62 (geq(minus(succ(succ(succ(succ(succ(tptp_minus_1))))), succ(succ(tptp_minus_1))), succ(tptp_minus_1))),
% 0.54/0.62 inference(modus_ponens,[status(thm)],[291, 284])).
% 0.54/0.62 tff(293,plain,
% 0.54/0.62 ((~(geq(minus(succ(succ(succ(succ(succ(tptp_minus_1))))), succ(succ(tptp_minus_1))), succ(tptp_minus_1)) <=> leq(succ(tptp_minus_1), minus(succ(succ(succ(succ(succ(tptp_minus_1))))), succ(succ(tptp_minus_1)))))) | (~geq(minus(succ(succ(succ(succ(succ(tptp_minus_1))))), succ(succ(tptp_minus_1))), succ(tptp_minus_1))) | leq(succ(tptp_minus_1), minus(succ(succ(succ(succ(succ(tptp_minus_1))))), succ(succ(tptp_minus_1))))),
% 0.54/0.62 inference(tautology,[status(thm)],[])).
% 0.54/0.62 tff(294,plain,
% 0.54/0.62 ((~(geq(minus(succ(succ(succ(succ(succ(tptp_minus_1))))), succ(succ(tptp_minus_1))), succ(tptp_minus_1)) <=> leq(succ(tptp_minus_1), minus(succ(succ(succ(succ(succ(tptp_minus_1))))), succ(succ(tptp_minus_1)))))) | leq(succ(tptp_minus_1), minus(succ(succ(succ(succ(succ(tptp_minus_1))))), succ(succ(tptp_minus_1))))),
% 0.54/0.62 inference(unit_resolution,[status(thm)],[293, 292])).
% 0.54/0.62 tff(295,plain,
% 0.54/0.62 (leq(succ(tptp_minus_1), minus(succ(succ(succ(succ(succ(tptp_minus_1))))), succ(succ(tptp_minus_1))))),
% 0.54/0.62 inference(unit_resolution,[status(thm)],[294, 283])).
% 0.54/0.62 tff(296,plain,
% 0.54/0.62 (gt(n7, n1) <=> gt(n7, succ(succ(tptp_minus_1)))),
% 0.54/0.62 inference(rewrite,[status(thm)],[])).
% 0.54/0.62 tff(297,plain,
% 0.54/0.62 (gt(n7, n1) <=> gt(n7, n1)),
% 0.54/0.62 inference(rewrite,[status(thm)],[])).
% 0.54/0.62 tff(298,axiom,(gt(n7, n1)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','gt_7_1')).
% 0.54/0.62 tff(299,plain,
% 0.54/0.62 (gt(n7, n1)),
% 0.54/0.62 inference(modus_ponens,[status(thm)],[298, 297])).
% 0.54/0.62 tff(300,plain,
% 0.54/0.62 (gt(n7, succ(succ(tptp_minus_1)))),
% 0.54/0.62 inference(modus_ponens,[status(thm)],[299, 296])).
% 0.54/0.62 tff(301,plain,
% 0.54/0.62 (((~![X: $i, Y: $i] : ((~gt(Y, X)) | leq(X, Y))) | ((~gt(n7, succ(succ(tptp_minus_1)))) | leq(succ(succ(tptp_minus_1)), n7))) <=> ((~![X: $i, Y: $i] : ((~gt(Y, X)) | leq(X, Y))) | (~gt(n7, succ(succ(tptp_minus_1)))) | leq(succ(succ(tptp_minus_1)), n7))),
% 0.54/0.62 inference(rewrite,[status(thm)],[])).
% 0.54/0.62 tff(302,plain,
% 0.54/0.62 ((~![X: $i, Y: $i] : ((~gt(Y, X)) | leq(X, Y))) | ((~gt(n7, succ(succ(tptp_minus_1)))) | leq(succ(succ(tptp_minus_1)), n7))),
% 0.54/0.62 inference(quant_inst,[status(thm)],[])).
% 0.54/0.62 tff(303,plain,
% 0.54/0.62 ((~![X: $i, Y: $i] : ((~gt(Y, X)) | leq(X, Y))) | (~gt(n7, succ(succ(tptp_minus_1)))) | leq(succ(succ(tptp_minus_1)), n7)),
% 0.54/0.62 inference(modus_ponens,[status(thm)],[302, 301])).
% 0.54/0.62 tff(304,plain,
% 0.54/0.62 (leq(succ(succ(tptp_minus_1)), n7)),
% 0.54/0.62 inference(unit_resolution,[status(thm)],[303, 121, 300])).
% 0.54/0.62 tff(305,plain,
% 0.54/0.62 ((~![X: $i, Y: $i] : (geq(X, Y) <=> leq(Y, X))) | (geq(minus(n1000, succ(succ(tptp_minus_1))), succ(tptp_minus_1)) <=> leq(succ(tptp_minus_1), minus(n1000, succ(succ(tptp_minus_1)))))),
% 0.54/0.62 inference(quant_inst,[status(thm)],[])).
% 0.54/0.62 tff(306,plain,
% 0.54/0.62 (geq(minus(n1000, succ(succ(tptp_minus_1))), succ(tptp_minus_1)) <=> leq(succ(tptp_minus_1), minus(n1000, succ(succ(tptp_minus_1))))),
% 0.54/0.62 inference(unit_resolution,[status(thm)],[305, 281])).
% 0.54/0.62 tff(307,plain,
% 0.54/0.62 (geq(minus(n1000, n1), n0) <=> geq(minus(n1000, succ(succ(tptp_minus_1))), succ(tptp_minus_1))),
% 0.54/0.62 inference(rewrite,[status(thm)],[])).
% 0.54/0.62 tff(308,plain,
% 0.54/0.62 (geq(minus(n1000, n1), n0) <=> geq(minus(n1000, n1), n0)),
% 0.54/0.62 inference(rewrite,[status(thm)],[])).
% 0.54/0.62 tff(309,plain,
% 0.54/0.62 (geq(minus(n1000, n1), n0)),
% 0.54/0.62 inference(and_elim,[status(thm)],[289])).
% 0.54/0.62 tff(310,plain,
% 0.54/0.62 (geq(minus(n1000, n1), n0)),
% 0.54/0.62 inference(modus_ponens,[status(thm)],[309, 308])).
% 0.54/0.62 tff(311,plain,
% 0.54/0.62 (geq(minus(n1000, succ(succ(tptp_minus_1))), succ(tptp_minus_1))),
% 0.54/0.62 inference(modus_ponens,[status(thm)],[310, 307])).
% 0.54/0.62 tff(312,plain,
% 0.54/0.62 ((~(geq(minus(n1000, succ(succ(tptp_minus_1))), succ(tptp_minus_1)) <=> leq(succ(tptp_minus_1), minus(n1000, succ(succ(tptp_minus_1)))))) | (~geq(minus(n1000, succ(succ(tptp_minus_1))), succ(tptp_minus_1))) | leq(succ(tptp_minus_1), minus(n1000, succ(succ(tptp_minus_1))))),
% 0.54/0.62 inference(tautology,[status(thm)],[])).
% 0.54/0.62 tff(313,plain,
% 0.54/0.62 ((~(geq(minus(n1000, succ(succ(tptp_minus_1))), succ(tptp_minus_1)) <=> leq(succ(tptp_minus_1), minus(n1000, succ(succ(tptp_minus_1)))))) | leq(succ(tptp_minus_1), minus(n1000, succ(succ(tptp_minus_1))))),
% 0.54/0.62 inference(unit_resolution,[status(thm)],[312, 311])).
% 0.54/0.62 tff(314,plain,
% 0.54/0.62 (leq(succ(tptp_minus_1), minus(n1000, succ(succ(tptp_minus_1))))),
% 0.54/0.62 inference(unit_resolution,[status(thm)],[313, 306])).
% 0.54/0.62 tff(315,plain,
% 0.54/0.62 ((~![X: $i, Y: $i] : (leq(X, Y) <=> gt(succ(Y), X))) | (leq(succ(tptp_minus_1), succ(tptp_minus_1)) <=> gt(succ(succ(tptp_minus_1)), succ(tptp_minus_1)))),
% 0.54/0.62 inference(quant_inst,[status(thm)],[])).
% 0.54/0.62 tff(316,plain,
% 0.54/0.62 (leq(succ(tptp_minus_1), succ(tptp_minus_1)) <=> gt(succ(succ(tptp_minus_1)), succ(tptp_minus_1))),
% 0.54/0.62 inference(unit_resolution,[status(thm)],[315, 90])).
% 0.54/0.62 tff(317,plain,
% 0.54/0.62 (gt(n1, n0) <=> gt(succ(succ(tptp_minus_1)), succ(tptp_minus_1))),
% 0.54/0.62 inference(rewrite,[status(thm)],[])).
% 0.54/0.62 tff(318,plain,
% 0.54/0.62 (gt(n1, n0) <=> gt(n1, n0)),
% 0.54/0.62 inference(rewrite,[status(thm)],[])).
% 0.54/0.62 tff(319,axiom,(gt(n1, n0)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','gt_1_0')).
% 0.54/0.62 tff(320,plain,
% 0.54/0.62 (gt(n1, n0)),
% 0.54/0.62 inference(modus_ponens,[status(thm)],[319, 318])).
% 0.54/0.62 tff(321,plain,
% 0.54/0.62 (gt(succ(succ(tptp_minus_1)), succ(tptp_minus_1))),
% 0.54/0.62 inference(modus_ponens,[status(thm)],[320, 317])).
% 0.54/0.62 tff(322,plain,
% 0.54/0.62 ((~(leq(succ(tptp_minus_1), succ(tptp_minus_1)) <=> gt(succ(succ(tptp_minus_1)), succ(tptp_minus_1)))) | leq(succ(tptp_minus_1), succ(tptp_minus_1)) | (~gt(succ(succ(tptp_minus_1)), succ(tptp_minus_1)))),
% 0.54/0.62 inference(tautology,[status(thm)],[])).
% 0.54/0.62 tff(323,plain,
% 0.54/0.62 ((~(leq(succ(tptp_minus_1), succ(tptp_minus_1)) <=> gt(succ(succ(tptp_minus_1)), succ(tptp_minus_1)))) | leq(succ(tptp_minus_1), succ(tptp_minus_1))),
% 0.54/0.62 inference(unit_resolution,[status(thm)],[322, 321])).
% 0.54/0.62 tff(324,plain,
% 0.54/0.62 (leq(succ(tptp_minus_1), succ(tptp_minus_1))),
% 0.54/0.62 inference(unit_resolution,[status(thm)],[323, 316])).
% 0.54/0.62 tff(325,plain,
% 0.54/0.62 (((~![X: $i, Y: $i] : ((~gt(Y, X)) | leq(X, Y))) | ((~gt(succ(succ(tptp_minus_1)), succ(tptp_minus_1))) | leq(succ(tptp_minus_1), succ(succ(tptp_minus_1))))) <=> ((~![X: $i, Y: $i] : ((~gt(Y, X)) | leq(X, Y))) | (~gt(succ(succ(tptp_minus_1)), succ(tptp_minus_1))) | leq(succ(tptp_minus_1), succ(succ(tptp_minus_1))))),
% 0.54/0.62 inference(rewrite,[status(thm)],[])).
% 0.54/0.62 tff(326,plain,
% 0.54/0.62 ((~![X: $i, Y: $i] : ((~gt(Y, X)) | leq(X, Y))) | ((~gt(succ(succ(tptp_minus_1)), succ(tptp_minus_1))) | leq(succ(tptp_minus_1), succ(succ(tptp_minus_1))))),
% 0.54/0.62 inference(quant_inst,[status(thm)],[])).
% 0.54/0.62 tff(327,plain,
% 0.54/0.62 ((~![X: $i, Y: $i] : ((~gt(Y, X)) | leq(X, Y))) | (~gt(succ(succ(tptp_minus_1)), succ(tptp_minus_1))) | leq(succ(tptp_minus_1), succ(succ(tptp_minus_1)))),
% 0.54/0.62 inference(modus_ponens,[status(thm)],[326, 325])).
% 0.54/0.62 tff(328,plain,
% 0.54/0.62 (leq(succ(tptp_minus_1), succ(succ(tptp_minus_1)))),
% 0.54/0.62 inference(unit_resolution,[status(thm)],[327, 121, 321])).
% 0.54/0.62 tff(329,plain,
% 0.54/0.62 (gt(n7, n0) <=> gt(n7, succ(tptp_minus_1))),
% 0.54/0.62 inference(rewrite,[status(thm)],[])).
% 0.54/0.62 tff(330,plain,
% 0.54/0.62 (gt(n7, n0) <=> gt(n7, n0)),
% 0.54/0.62 inference(rewrite,[status(thm)],[])).
% 0.54/0.62 tff(331,axiom,(gt(n7, n0)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','gt_7_0')).
% 0.54/0.62 tff(332,plain,
% 0.54/0.62 (gt(n7, n0)),
% 0.54/0.62 inference(modus_ponens,[status(thm)],[331, 330])).
% 0.54/0.62 tff(333,plain,
% 0.54/0.62 (gt(n7, succ(tptp_minus_1))),
% 0.54/0.62 inference(modus_ponens,[status(thm)],[332, 329])).
% 0.54/0.62 tff(334,plain,
% 0.54/0.62 (((~![X: $i, Y: $i] : ((~gt(Y, X)) | leq(X, Y))) | ((~gt(n7, succ(tptp_minus_1))) | leq(succ(tptp_minus_1), n7))) <=> ((~![X: $i, Y: $i] : ((~gt(Y, X)) | leq(X, Y))) | (~gt(n7, succ(tptp_minus_1))) | leq(succ(tptp_minus_1), n7))),
% 0.54/0.62 inference(rewrite,[status(thm)],[])).
% 0.54/0.62 tff(335,plain,
% 0.54/0.62 ((~![X: $i, Y: $i] : ((~gt(Y, X)) | leq(X, Y))) | ((~gt(n7, succ(tptp_minus_1))) | leq(succ(tptp_minus_1), n7))),
% 0.54/0.62 inference(quant_inst,[status(thm)],[])).
% 0.54/0.62 tff(336,plain,
% 0.54/0.62 ((~![X: $i, Y: $i] : ((~gt(Y, X)) | leq(X, Y))) | (~gt(n7, succ(tptp_minus_1))) | leq(succ(tptp_minus_1), n7)),
% 0.54/0.62 inference(modus_ponens,[status(thm)],[335, 334])).
% 0.54/0.62 tff(337,plain,
% 0.54/0.62 (leq(succ(tptp_minus_1), n7)),
% 0.54/0.62 inference(unit_resolution,[status(thm)],[336, 121, 333])).
% 0.54/0.62 tff(338,plain,
% 0.54/0.62 (gt(n6, n0) <=> gt(succ(succ(succ(succ(succ(succ(succ(tptp_minus_1))))))), succ(tptp_minus_1))),
% 0.54/0.62 inference(rewrite,[status(thm)],[])).
% 0.54/0.62 tff(339,plain,
% 0.54/0.62 (gt(n6, n0) <=> gt(n6, n0)),
% 0.54/0.62 inference(rewrite,[status(thm)],[])).
% 0.54/0.62 tff(340,axiom,(gt(n6, n0)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','gt_6_0')).
% 0.54/0.62 tff(341,plain,
% 0.54/0.62 (gt(n6, n0)),
% 0.54/0.62 inference(modus_ponens,[status(thm)],[340, 339])).
% 0.54/0.62 tff(342,plain,
% 0.54/0.62 (gt(succ(succ(succ(succ(succ(succ(succ(tptp_minus_1))))))), succ(tptp_minus_1))),
% 0.54/0.62 inference(modus_ponens,[status(thm)],[341, 338])).
% 0.54/0.62 tff(343,plain,
% 0.54/0.62 (((~![X: $i, Y: $i] : ((~gt(Y, X)) | leq(X, Y))) | ((~gt(succ(succ(succ(succ(succ(succ(succ(tptp_minus_1))))))), succ(tptp_minus_1))) | leq(succ(tptp_minus_1), succ(succ(succ(succ(succ(succ(succ(tptp_minus_1)))))))))) <=> ((~![X: $i, Y: $i] : ((~gt(Y, X)) | leq(X, Y))) | (~gt(succ(succ(succ(succ(succ(succ(succ(tptp_minus_1))))))), succ(tptp_minus_1))) | leq(succ(tptp_minus_1), succ(succ(succ(succ(succ(succ(succ(tptp_minus_1)))))))))),
% 0.54/0.62 inference(rewrite,[status(thm)],[])).
% 0.54/0.62 tff(344,plain,
% 0.54/0.62 ((~![X: $i, Y: $i] : ((~gt(Y, X)) | leq(X, Y))) | ((~gt(succ(succ(succ(succ(succ(succ(succ(tptp_minus_1))))))), succ(tptp_minus_1))) | leq(succ(tptp_minus_1), succ(succ(succ(succ(succ(succ(succ(tptp_minus_1)))))))))),
% 0.54/0.62 inference(quant_inst,[status(thm)],[])).
% 0.54/0.62 tff(345,plain,
% 0.54/0.62 ((~![X: $i, Y: $i] : ((~gt(Y, X)) | leq(X, Y))) | (~gt(succ(succ(succ(succ(succ(succ(succ(tptp_minus_1))))))), succ(tptp_minus_1))) | leq(succ(tptp_minus_1), succ(succ(succ(succ(succ(succ(succ(tptp_minus_1))))))))),
% 0.54/0.62 inference(modus_ponens,[status(thm)],[344, 343])).
% 0.54/0.62 tff(346,plain,
% 0.54/0.62 (leq(succ(tptp_minus_1), succ(succ(succ(succ(succ(succ(succ(tptp_minus_1))))))))),
% 0.54/0.62 inference(unit_resolution,[status(thm)],[345, 121, 342])).
% 0.54/0.62 tff(347,plain,
% 0.54/0.62 (gt(n4, n0) <=> gt(succ(succ(succ(succ(succ(tptp_minus_1))))), succ(tptp_minus_1))),
% 0.54/0.62 inference(rewrite,[status(thm)],[])).
% 0.54/0.62 tff(348,plain,
% 0.54/0.62 (gt(n4, n0) <=> gt(n4, n0)),
% 0.54/0.62 inference(rewrite,[status(thm)],[])).
% 0.54/0.62 tff(349,axiom,(gt(n4, n0)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','gt_4_0')).
% 0.54/0.62 tff(350,plain,
% 0.54/0.62 (gt(n4, n0)),
% 0.54/0.62 inference(modus_ponens,[status(thm)],[349, 348])).
% 0.54/0.62 tff(351,plain,
% 0.54/0.62 (gt(succ(succ(succ(succ(succ(tptp_minus_1))))), succ(tptp_minus_1))),
% 0.54/0.62 inference(modus_ponens,[status(thm)],[350, 347])).
% 0.54/0.62 tff(352,plain,
% 0.54/0.62 (((~![X: $i, Y: $i] : ((~gt(Y, X)) | leq(X, Y))) | ((~gt(succ(succ(succ(succ(succ(tptp_minus_1))))), succ(tptp_minus_1))) | leq(succ(tptp_minus_1), succ(succ(succ(succ(succ(tptp_minus_1)))))))) <=> ((~![X: $i, Y: $i] : ((~gt(Y, X)) | leq(X, Y))) | (~gt(succ(succ(succ(succ(succ(tptp_minus_1))))), succ(tptp_minus_1))) | leq(succ(tptp_minus_1), succ(succ(succ(succ(succ(tptp_minus_1)))))))),
% 0.54/0.62 inference(rewrite,[status(thm)],[])).
% 0.54/0.62 tff(353,plain,
% 0.54/0.62 ((~![X: $i, Y: $i] : ((~gt(Y, X)) | leq(X, Y))) | ((~gt(succ(succ(succ(succ(succ(tptp_minus_1))))), succ(tptp_minus_1))) | leq(succ(tptp_minus_1), succ(succ(succ(succ(succ(tptp_minus_1)))))))),
% 0.54/0.62 inference(quant_inst,[status(thm)],[])).
% 0.54/0.62 tff(354,plain,
% 0.54/0.62 ((~![X: $i, Y: $i] : ((~gt(Y, X)) | leq(X, Y))) | (~gt(succ(succ(succ(succ(succ(tptp_minus_1))))), succ(tptp_minus_1))) | leq(succ(tptp_minus_1), succ(succ(succ(succ(succ(tptp_minus_1))))))),
% 0.54/0.62 inference(modus_ponens,[status(thm)],[353, 352])).
% 0.54/0.62 tff(355,plain,
% 0.54/0.62 (leq(succ(tptp_minus_1), succ(succ(succ(succ(succ(tptp_minus_1))))))),
% 0.54/0.62 inference(unit_resolution,[status(thm)],[354, 121, 351])).
% 0.54/0.62 tff(356,plain,
% 0.54/0.62 (gt(n3, n0) <=> gt(succ(succ(succ(succ(tptp_minus_1)))), succ(tptp_minus_1))),
% 0.54/0.62 inference(rewrite,[status(thm)],[])).
% 0.54/0.62 tff(357,plain,
% 0.54/0.62 (gt(n3, n0) <=> gt(n3, n0)),
% 0.54/0.62 inference(rewrite,[status(thm)],[])).
% 0.54/0.62 tff(358,axiom,(gt(n3, n0)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','gt_3_0')).
% 0.54/0.62 tff(359,plain,
% 0.54/0.62 (gt(n3, n0)),
% 0.54/0.62 inference(modus_ponens,[status(thm)],[358, 357])).
% 0.54/0.62 tff(360,plain,
% 0.54/0.62 (gt(succ(succ(succ(succ(tptp_minus_1)))), succ(tptp_minus_1))),
% 0.54/0.62 inference(modus_ponens,[status(thm)],[359, 356])).
% 0.54/0.62 tff(361,plain,
% 0.54/0.62 (((~![X: $i, Y: $i] : ((~gt(Y, X)) | leq(X, Y))) | ((~gt(succ(succ(succ(succ(tptp_minus_1)))), succ(tptp_minus_1))) | leq(succ(tptp_minus_1), succ(succ(succ(succ(tptp_minus_1))))))) <=> ((~![X: $i, Y: $i] : ((~gt(Y, X)) | leq(X, Y))) | (~gt(succ(succ(succ(succ(tptp_minus_1)))), succ(tptp_minus_1))) | leq(succ(tptp_minus_1), succ(succ(succ(succ(tptp_minus_1))))))),
% 0.54/0.62 inference(rewrite,[status(thm)],[])).
% 0.54/0.62 tff(362,plain,
% 0.54/0.62 ((~![X: $i, Y: $i] : ((~gt(Y, X)) | leq(X, Y))) | ((~gt(succ(succ(succ(succ(tptp_minus_1)))), succ(tptp_minus_1))) | leq(succ(tptp_minus_1), succ(succ(succ(succ(tptp_minus_1))))))),
% 0.54/0.62 inference(quant_inst,[status(thm)],[])).
% 0.54/0.62 tff(363,plain,
% 0.54/0.62 ((~![X: $i, Y: $i] : ((~gt(Y, X)) | leq(X, Y))) | (~gt(succ(succ(succ(succ(tptp_minus_1)))), succ(tptp_minus_1))) | leq(succ(tptp_minus_1), succ(succ(succ(succ(tptp_minus_1)))))),
% 0.54/0.62 inference(modus_ponens,[status(thm)],[362, 361])).
% 0.54/0.62 tff(364,plain,
% 0.54/0.62 (leq(succ(tptp_minus_1), succ(succ(succ(succ(tptp_minus_1)))))),
% 0.54/0.62 inference(unit_resolution,[status(thm)],[363, 121, 360])).
% 0.54/0.62 tff(365,plain,
% 0.54/0.62 (gt(n2, n0) <=> gt(succ(succ(succ(tptp_minus_1))), succ(tptp_minus_1))),
% 0.54/0.62 inference(rewrite,[status(thm)],[])).
% 0.54/0.62 tff(366,plain,
% 0.54/0.62 (gt(n2, n0) <=> gt(n2, n0)),
% 0.54/0.62 inference(rewrite,[status(thm)],[])).
% 0.54/0.62 tff(367,axiom,(gt(n2, n0)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','gt_2_0')).
% 0.54/0.62 tff(368,plain,
% 0.54/0.62 (gt(n2, n0)),
% 0.54/0.62 inference(modus_ponens,[status(thm)],[367, 366])).
% 0.54/0.62 tff(369,plain,
% 0.54/0.62 (gt(succ(succ(succ(tptp_minus_1))), succ(tptp_minus_1))),
% 0.54/0.62 inference(modus_ponens,[status(thm)],[368, 365])).
% 0.54/0.62 tff(370,plain,
% 0.54/0.62 (((~![X: $i, Y: $i] : ((~gt(Y, X)) | leq(X, Y))) | ((~gt(succ(succ(succ(tptp_minus_1))), succ(tptp_minus_1))) | leq(succ(tptp_minus_1), succ(succ(succ(tptp_minus_1)))))) <=> ((~![X: $i, Y: $i] : ((~gt(Y, X)) | leq(X, Y))) | (~gt(succ(succ(succ(tptp_minus_1))), succ(tptp_minus_1))) | leq(succ(tptp_minus_1), succ(succ(succ(tptp_minus_1)))))),
% 0.54/0.62 inference(rewrite,[status(thm)],[])).
% 0.54/0.62 tff(371,plain,
% 0.54/0.62 ((~![X: $i, Y: $i] : ((~gt(Y, X)) | leq(X, Y))) | ((~gt(succ(succ(succ(tptp_minus_1))), succ(tptp_minus_1))) | leq(succ(tptp_minus_1), succ(succ(succ(tptp_minus_1)))))),
% 0.54/0.62 inference(quant_inst,[status(thm)],[])).
% 0.54/0.62 tff(372,plain,
% 0.54/0.62 ((~![X: $i, Y: $i] : ((~gt(Y, X)) | leq(X, Y))) | (~gt(succ(succ(succ(tptp_minus_1))), succ(tptp_minus_1))) | leq(succ(tptp_minus_1), succ(succ(succ(tptp_minus_1))))),
% 0.54/0.62 inference(modus_ponens,[status(thm)],[371, 370])).
% 0.54/0.62 tff(373,plain,
% 0.54/0.62 (leq(succ(tptp_minus_1), succ(succ(succ(tptp_minus_1))))),
% 0.54/0.62 inference(unit_resolution,[status(thm)],[372, 121, 369])).
% 0.54/0.62 tff(374,plain,
% 0.54/0.62 ((~(~((~leq(succ(tptp_minus_1), succ(tptp_minus_1))) | (~leq(succ(tptp_minus_1), succ(succ(tptp_minus_1)))) | (~leq(succ(tptp_minus_1), succ(succ(succ(tptp_minus_1))))) | (~leq(succ(tptp_minus_1), succ(succ(succ(succ(tptp_minus_1)))))) | (~leq(succ(tptp_minus_1), succ(succ(succ(succ(succ(tptp_minus_1))))))) | (~leq(succ(tptp_minus_1), succ(succ(succ(succ(succ(succ(tptp_minus_1)))))))) | (~leq(succ(tptp_minus_1), succ(succ(succ(succ(succ(succ(succ(tptp_minus_1))))))))) | (~leq(succ(tptp_minus_1), n7)) | (~leq(succ(tptp_minus_1), minus(succ(succ(succ(succ(succ(tptp_minus_1))))), succ(succ(tptp_minus_1))))) | (~leq(succ(tptp_minus_1), minus(succ(succ(succ(succ(succ(succ(succ(tptp_minus_1))))))), succ(succ(tptp_minus_1))))) | (~leq(succ(tptp_minus_1), minus(n1000, succ(succ(tptp_minus_1))))) | (~leq(succ(succ(tptp_minus_1)), n7)) | (~leq(succ(succ(tptp_minus_1)), minus(succ(succ(succ(succ(succ(tptp_minus_1))))), succ(succ(tptp_minus_1))))) | (~leq(succ(succ(tptp_minus_1)), minus(succ(succ(succ(succ(succ(succ(succ(tptp_minus_1))))))), succ(succ(tptp_minus_1))))) | (~leq(succ(succ(succ(tptp_minus_1))), n7)) | (~leq(succ(succ(succ(tptp_minus_1))), minus(succ(succ(succ(succ(succ(tptp_minus_1))))), succ(succ(tptp_minus_1))))) | (~leq(succ(succ(succ(tptp_minus_1))), minus(succ(succ(succ(succ(succ(succ(succ(tptp_minus_1))))))), succ(succ(tptp_minus_1))))) | (~leq(succ(succ(succ(succ(tptp_minus_1)))), n7)) | (~leq(succ(succ(succ(succ(tptp_minus_1)))), minus(succ(succ(succ(succ(succ(tptp_minus_1))))), succ(succ(tptp_minus_1))))) | (~leq(succ(succ(succ(succ(tptp_minus_1)))), minus(succ(succ(succ(succ(succ(succ(succ(tptp_minus_1))))))), succ(succ(tptp_minus_1))))) | (~leq(succ(succ(succ(succ(succ(tptp_minus_1))))), n7)) | (~leq(succ(succ(succ(succ(succ(tptp_minus_1))))), minus(succ(succ(succ(succ(succ(succ(succ(tptp_minus_1))))))), succ(succ(tptp_minus_1))))) | (~leq(succ(succ(succ(succ(succ(succ(tptp_minus_1)))))), n7)) | (~leq(succ(succ(succ(succ(succ(succ(tptp_minus_1)))))), minus(succ(succ(succ(succ(succ(succ(succ(tptp_minus_1))))))), succ(succ(tptp_minus_1))))) | (~leq(succ(succ(succ(succ(succ(succ(succ(tptp_minus_1))))))), n7)) | (~leq(n7, n7)) | (~((~leq(succ(tptp_minus_1), pv5)) | (~leq(succ(tptp_minus_1), pv21)) | (~leq(pv5, n588)) | (~leq(pv21, minus(succ(succ(succ(succ(succ(succ(succ(tptp_minus_1))))))), succ(succ(tptp_minus_1))))) | (~((~leq(succ(tptp_minus_1), pv5)) | (~leq(succ(tptp_minus_1), pv21)) | (~leq(pv5, n588)) | (~leq(pv21, minus(succ(succ(succ(succ(succ(succ(succ(tptp_minus_1))))))), succ(succ(tptp_minus_1))))) | (~leq(pv21, succ(succ(succ(succ(succ(succ(tptp_minus_1)))))))))))) | (~((~leq(succ(tptp_minus_1), pv5)) | (~leq(pv5, n588)) | (~leq(succ(tptp_minus_1), pv31)) | (~leq(pv31, minus(succ(succ(succ(succ(succ(succ(succ(tptp_minus_1))))))), succ(succ(tptp_minus_1))))) | (~((~leq(succ(tptp_minus_1), pv5)) | (~leq(pv5, n588)))))) | (~((~leq(succ(tptp_minus_1), pv5)) | (~leq(pv5, n588)) | (~((~leq(succ(tptp_minus_1), pv5)) | (~leq(pv5, minus(n1000, succ(succ(tptp_minus_1))))) | (~(leq(pv5, n588) | gt(pv5, succ(tptp_minus_1)))) | (~((~gt(pv5, succ(tptp_minus_1))) | leq(pv5, n588)))))))))) <=> ((~leq(succ(tptp_minus_1), succ(tptp_minus_1))) | (~leq(succ(tptp_minus_1), succ(succ(tptp_minus_1)))) | (~leq(succ(tptp_minus_1), succ(succ(succ(tptp_minus_1))))) | (~leq(succ(tptp_minus_1), succ(succ(succ(succ(tptp_minus_1)))))) | (~leq(succ(tptp_minus_1), succ(succ(succ(succ(succ(tptp_minus_1))))))) | (~leq(succ(tptp_minus_1), succ(succ(succ(succ(succ(succ(tptp_minus_1)))))))) | (~leq(succ(tptp_minus_1), succ(succ(succ(succ(succ(succ(succ(tptp_minus_1))))))))) | (~leq(succ(tptp_minus_1), n7)) | (~leq(succ(tptp_minus_1), minus(succ(succ(succ(succ(succ(tptp_minus_1))))), succ(succ(tptp_minus_1))))) | (~leq(succ(tptp_minus_1), minus(succ(succ(succ(succ(succ(succ(succ(tptp_minus_1))))))), succ(succ(tptp_minus_1))))) | (~leq(succ(tptp_minus_1), minus(n1000, succ(succ(tptp_minus_1))))) | (~leq(succ(succ(tptp_minus_1)), n7)) | (~leq(succ(succ(tptp_minus_1)), minus(succ(succ(succ(succ(succ(tptp_minus_1))))), succ(succ(tptp_minus_1))))) | (~leq(succ(succ(tptp_minus_1)), minus(succ(succ(succ(succ(succ(succ(succ(tptp_minus_1))))))), succ(succ(tptp_minus_1))))) | (~leq(succ(succ(succ(tptp_minus_1))), n7)) | (~leq(succ(succ(succ(tptp_minus_1))), minus(succ(succ(succ(succ(succ(tptp_minus_1))))), succ(succ(tptp_minus_1))))) | (~leq(succ(succ(succ(tptp_minus_1))), minus(succ(succ(succ(succ(succ(succ(succ(tptp_minus_1))))))), succ(succ(tptp_minus_1))))) | (~leq(succ(succ(succ(succ(tptp_minus_1)))), n7)) | (~leq(succ(succ(succ(succ(tptp_minus_1)))), minus(succ(succ(succ(succ(succ(tptp_minus_1))))), succ(succ(tptp_minus_1))))) | (~leq(succ(succ(succ(succ(tptp_minus_1)))), minus(succ(succ(succ(succ(succ(succ(succ(tptp_minus_1))))))), succ(succ(tptp_minus_1))))) | (~leq(succ(succ(succ(succ(succ(tptp_minus_1))))), n7)) | (~leq(succ(succ(succ(succ(succ(tptp_minus_1))))), minus(succ(succ(succ(succ(succ(succ(succ(tptp_minus_1))))))), succ(succ(tptp_minus_1))))) | (~leq(succ(succ(succ(succ(succ(succ(tptp_minus_1)))))), n7)) | (~leq(succ(succ(succ(succ(succ(succ(tptp_minus_1)))))), minus(succ(succ(succ(succ(succ(succ(succ(tptp_minus_1))))))), succ(succ(tptp_minus_1))))) | (~leq(succ(succ(succ(succ(succ(succ(succ(tptp_minus_1))))))), n7)) | (~leq(n7, n7)) | (~((~leq(succ(tptp_minus_1), pv5)) | (~leq(succ(tptp_minus_1), pv21)) | (~leq(pv5, n588)) | (~leq(pv21, minus(succ(succ(succ(succ(succ(succ(succ(tptp_minus_1))))))), succ(succ(tptp_minus_1))))) | (~((~leq(succ(tptp_minus_1), pv5)) | (~leq(succ(tptp_minus_1), pv21)) | (~leq(pv5, n588)) | (~leq(pv21, minus(succ(succ(succ(succ(succ(succ(succ(tptp_minus_1))))))), succ(succ(tptp_minus_1))))) | (~leq(pv21, succ(succ(succ(succ(succ(succ(tptp_minus_1)))))))))))) | (~((~leq(succ(tptp_minus_1), pv5)) | (~leq(pv5, n588)) | (~leq(succ(tptp_minus_1), pv31)) | (~leq(pv31, minus(succ(succ(succ(succ(succ(succ(succ(tptp_minus_1))))))), succ(succ(tptp_minus_1))))) | (~((~leq(succ(tptp_minus_1), pv5)) | (~leq(pv5, n588)))))) | (~((~leq(succ(tptp_minus_1), pv5)) | (~leq(pv5, n588)) | (~((~leq(succ(tptp_minus_1), pv5)) | (~leq(pv5, minus(n1000, succ(succ(tptp_minus_1))))) | (~(leq(pv5, n588) | gt(pv5, succ(tptp_minus_1)))) | (~((~gt(pv5, succ(tptp_minus_1))) | leq(pv5, n588))))))))),
% 0.54/0.63 inference(rewrite,[status(thm)],[])).
% 0.54/0.63 tff(375,plain,
% 0.54/0.63 ((leq(succ(tptp_minus_1), succ(tptp_minus_1)) & leq(succ(tptp_minus_1), succ(succ(tptp_minus_1))) & leq(succ(tptp_minus_1), succ(succ(succ(tptp_minus_1)))) & leq(succ(tptp_minus_1), succ(succ(succ(succ(tptp_minus_1))))) & leq(succ(tptp_minus_1), succ(succ(succ(succ(succ(tptp_minus_1)))))) & leq(succ(tptp_minus_1), succ(succ(succ(succ(succ(succ(tptp_minus_1))))))) & leq(succ(tptp_minus_1), succ(succ(succ(succ(succ(succ(succ(tptp_minus_1)))))))) & leq(succ(tptp_minus_1), n7) & leq(succ(tptp_minus_1), minus(succ(succ(succ(succ(succ(tptp_minus_1))))), succ(succ(tptp_minus_1)))) & leq(succ(tptp_minus_1), minus(succ(succ(succ(succ(succ(succ(succ(tptp_minus_1))))))), succ(succ(tptp_minus_1)))) & leq(succ(tptp_minus_1), minus(n1000, succ(succ(tptp_minus_1)))) & leq(succ(succ(tptp_minus_1)), n7) & leq(succ(succ(tptp_minus_1)), minus(succ(succ(succ(succ(succ(tptp_minus_1))))), succ(succ(tptp_minus_1)))) & leq(succ(succ(tptp_minus_1)), minus(succ(succ(succ(succ(succ(succ(succ(tptp_minus_1))))))), succ(succ(tptp_minus_1)))) & leq(succ(succ(succ(tptp_minus_1))), n7) & leq(succ(succ(succ(tptp_minus_1))), minus(succ(succ(succ(succ(succ(tptp_minus_1))))), succ(succ(tptp_minus_1)))) & leq(succ(succ(succ(tptp_minus_1))), minus(succ(succ(succ(succ(succ(succ(succ(tptp_minus_1))))))), succ(succ(tptp_minus_1)))) & leq(succ(succ(succ(succ(tptp_minus_1)))), n7) & leq(succ(succ(succ(succ(tptp_minus_1)))), minus(succ(succ(succ(succ(succ(tptp_minus_1))))), succ(succ(tptp_minus_1)))) & leq(succ(succ(succ(succ(tptp_minus_1)))), minus(succ(succ(succ(succ(succ(succ(succ(tptp_minus_1))))))), succ(succ(tptp_minus_1)))) & leq(succ(succ(succ(succ(succ(tptp_minus_1))))), n7) & leq(succ(succ(succ(succ(succ(tptp_minus_1))))), minus(succ(succ(succ(succ(succ(succ(succ(tptp_minus_1))))))), succ(succ(tptp_minus_1)))) & leq(succ(succ(succ(succ(succ(succ(tptp_minus_1)))))), n7) & leq(succ(succ(succ(succ(succ(succ(tptp_minus_1)))))), minus(succ(succ(succ(succ(succ(succ(succ(tptp_minus_1))))))), succ(succ(tptp_minus_1)))) & leq(succ(succ(succ(succ(succ(succ(succ(tptp_minus_1))))))), n7) & leq(n7, n7) & ((~leq(succ(tptp_minus_1), pv5)) | (~leq(succ(tptp_minus_1), pv21)) | (~leq(pv5, n588)) | (~leq(pv21, minus(succ(succ(succ(succ(succ(succ(succ(tptp_minus_1))))))), succ(succ(tptp_minus_1))))) | (~((~leq(succ(tptp_minus_1), pv5)) | (~leq(succ(tptp_minus_1), pv21)) | (~leq(pv5, n588)) | (~leq(pv21, minus(succ(succ(succ(succ(succ(succ(succ(tptp_minus_1))))))), succ(succ(tptp_minus_1))))) | (~leq(pv21, succ(succ(succ(succ(succ(succ(tptp_minus_1))))))))))) & ((~leq(succ(tptp_minus_1), pv5)) | (~leq(pv5, n588)) | (~leq(succ(tptp_minus_1), pv31)) | (~leq(pv31, minus(succ(succ(succ(succ(succ(succ(succ(tptp_minus_1))))))), succ(succ(tptp_minus_1))))) | (~((~leq(succ(tptp_minus_1), pv5)) | (~leq(pv5, n588))))) & ((~leq(succ(tptp_minus_1), pv5)) | (~leq(pv5, n588)) | (~((~leq(succ(tptp_minus_1), pv5)) | (~leq(pv5, minus(n1000, succ(succ(tptp_minus_1))))) | (~(leq(pv5, n588) | gt(pv5, succ(tptp_minus_1)))) | (~((~gt(pv5, succ(tptp_minus_1))) | leq(pv5, n588))))))) <=> (~((~leq(succ(tptp_minus_1), succ(tptp_minus_1))) | (~leq(succ(tptp_minus_1), succ(succ(tptp_minus_1)))) | (~leq(succ(tptp_minus_1), succ(succ(succ(tptp_minus_1))))) | (~leq(succ(tptp_minus_1), succ(succ(succ(succ(tptp_minus_1)))))) | (~leq(succ(tptp_minus_1), succ(succ(succ(succ(succ(tptp_minus_1))))))) | (~leq(succ(tptp_minus_1), succ(succ(succ(succ(succ(succ(tptp_minus_1)))))))) | (~leq(succ(tptp_minus_1), succ(succ(succ(succ(succ(succ(succ(tptp_minus_1))))))))) | (~leq(succ(tptp_minus_1), n7)) | (~leq(succ(tptp_minus_1), minus(succ(succ(succ(succ(succ(tptp_minus_1))))), succ(succ(tptp_minus_1))))) | (~leq(succ(tptp_minus_1), minus(succ(succ(succ(succ(succ(succ(succ(tptp_minus_1))))))), succ(succ(tptp_minus_1))))) | (~leq(succ(tptp_minus_1), minus(n1000, succ(succ(tptp_minus_1))))) | (~leq(succ(succ(tptp_minus_1)), n7)) | (~leq(succ(succ(tptp_minus_1)), minus(succ(succ(succ(succ(succ(tptp_minus_1))))), succ(succ(tptp_minus_1))))) | (~leq(succ(succ(tptp_minus_1)), minus(succ(succ(succ(succ(succ(succ(succ(tptp_minus_1))))))), succ(succ(tptp_minus_1))))) | (~leq(succ(succ(succ(tptp_minus_1))), n7)) | (~leq(succ(succ(succ(tptp_minus_1))), minus(succ(succ(succ(succ(succ(tptp_minus_1))))), succ(succ(tptp_minus_1))))) | (~leq(succ(succ(succ(tptp_minus_1))), minus(succ(succ(succ(succ(succ(succ(succ(tptp_minus_1))))))), succ(succ(tptp_minus_1))))) | (~leq(succ(succ(succ(succ(tptp_minus_1)))), n7)) | (~leq(succ(succ(succ(succ(tptp_minus_1)))), minus(succ(succ(succ(succ(succ(tptp_minus_1))))), succ(succ(tptp_minus_1))))) | (~leq(succ(succ(succ(succ(tptp_minus_1)))), minus(succ(succ(succ(succ(succ(succ(succ(tptp_minus_1))))))), succ(succ(tptp_minus_1))))) | (~leq(succ(succ(succ(succ(succ(tptp_minus_1))))), n7)) | (~leq(succ(succ(succ(succ(succ(tptp_minus_1))))), minus(succ(succ(succ(succ(succ(succ(succ(tptp_minus_1))))))), succ(succ(tptp_minus_1))))) | (~leq(succ(succ(succ(succ(succ(succ(tptp_minus_1)))))), n7)) | (~leq(succ(succ(succ(succ(succ(succ(tptp_minus_1)))))), minus(succ(succ(succ(succ(succ(succ(succ(tptp_minus_1))))))), succ(succ(tptp_minus_1))))) | (~leq(succ(succ(succ(succ(succ(succ(succ(tptp_minus_1))))))), n7)) | (~leq(n7, n7)) | (~((~leq(succ(tptp_minus_1), pv5)) | (~leq(succ(tptp_minus_1), pv21)) | (~leq(pv5, n588)) | (~leq(pv21, minus(succ(succ(succ(succ(succ(succ(succ(tptp_minus_1))))))), succ(succ(tptp_minus_1))))) | (~((~leq(succ(tptp_minus_1), pv5)) | (~leq(succ(tptp_minus_1), pv21)) | (~leq(pv5, n588)) | (~leq(pv21, minus(succ(succ(succ(succ(succ(succ(succ(tptp_minus_1))))))), succ(succ(tptp_minus_1))))) | (~leq(pv21, succ(succ(succ(succ(succ(succ(tptp_minus_1)))))))))))) | (~((~leq(succ(tptp_minus_1), pv5)) | (~leq(pv5, n588)) | (~leq(succ(tptp_minus_1), pv31)) | (~leq(pv31, minus(succ(succ(succ(succ(succ(succ(succ(tptp_minus_1))))))), succ(succ(tptp_minus_1))))) | (~((~leq(succ(tptp_minus_1), pv5)) | (~leq(pv5, n588)))))) | (~((~leq(succ(tptp_minus_1), pv5)) | (~leq(pv5, n588)) | (~((~leq(succ(tptp_minus_1), pv5)) | (~leq(pv5, minus(n1000, succ(succ(tptp_minus_1))))) | (~(leq(pv5, n588) | gt(pv5, succ(tptp_minus_1)))) | (~((~gt(pv5, succ(tptp_minus_1))) | leq(pv5, n588)))))))))),
% 0.54/0.63 inference(rewrite,[status(thm)],[])).
% 0.54/0.63 tff(376,plain,
% 0.54/0.63 ((((~leq(succ(tptp_minus_1), pv5)) | (~leq(pv5, n588))) | (~((~leq(succ(tptp_minus_1), pv5)) | (~leq(pv5, minus(n1000, succ(succ(tptp_minus_1))))) | (~(leq(pv5, n588) | gt(pv5, succ(tptp_minus_1)))) | (~((~gt(pv5, succ(tptp_minus_1))) | leq(pv5, n588)))))) <=> ((~leq(succ(tptp_minus_1), pv5)) | (~leq(pv5, n588)) | (~((~leq(succ(tptp_minus_1), pv5)) | (~leq(pv5, minus(n1000, succ(succ(tptp_minus_1))))) | (~(leq(pv5, n588) | gt(pv5, succ(tptp_minus_1)))) | (~((~gt(pv5, succ(tptp_minus_1))) | leq(pv5, n588))))))),
% 0.54/0.63 inference(rewrite,[status(thm)],[])).
% 0.54/0.63 tff(377,plain,
% 0.54/0.63 ((leq(succ(tptp_minus_1), pv5) & leq(pv5, minus(n1000, succ(succ(tptp_minus_1)))) & (leq(pv5, n588) | gt(pv5, succ(tptp_minus_1))) & ((~gt(pv5, succ(tptp_minus_1))) | leq(pv5, n588))) <=> (~((~leq(succ(tptp_minus_1), pv5)) | (~leq(pv5, minus(n1000, succ(succ(tptp_minus_1))))) | (~(leq(pv5, n588) | gt(pv5, succ(tptp_minus_1)))) | (~((~gt(pv5, succ(tptp_minus_1))) | leq(pv5, n588)))))),
% 0.54/0.63 inference(rewrite,[status(thm)],[])).
% 0.54/0.63 tff(378,plain,
% 0.54/0.63 ((~(~((~leq(succ(tptp_minus_1), pv5)) | (~leq(pv5, n588))))) <=> ((~leq(succ(tptp_minus_1), pv5)) | (~leq(pv5, n588)))),
% 0.54/0.63 inference(rewrite,[status(thm)],[])).
% 0.54/0.63 tff(379,plain,
% 0.54/0.63 ((leq(succ(tptp_minus_1), pv5) & leq(pv5, n588)) <=> (~((~leq(succ(tptp_minus_1), pv5)) | (~leq(pv5, n588))))),
% 0.54/0.63 inference(rewrite,[status(thm)],[])).
% 0.54/0.63 tff(380,plain,
% 0.54/0.63 ((~(leq(succ(tptp_minus_1), pv5) & leq(pv5, n588))) <=> (~(~((~leq(succ(tptp_minus_1), pv5)) | (~leq(pv5, n588)))))),
% 0.54/0.63 inference(monotonicity,[status(thm)],[379])).
% 0.54/0.63 tff(381,plain,
% 0.54/0.63 ((~(leq(succ(tptp_minus_1), pv5) & leq(pv5, n588))) <=> ((~leq(succ(tptp_minus_1), pv5)) | (~leq(pv5, n588)))),
% 0.54/0.63 inference(transitivity,[status(thm)],[380, 378])).
% 0.54/0.63 tff(382,plain,
% 0.54/0.63 (((~(leq(succ(tptp_minus_1), pv5) & leq(pv5, n588))) | (leq(succ(tptp_minus_1), pv5) & leq(pv5, minus(n1000, succ(succ(tptp_minus_1)))) & (leq(pv5, n588) | gt(pv5, succ(tptp_minus_1))) & ((~gt(pv5, succ(tptp_minus_1))) | leq(pv5, n588)))) <=> (((~leq(succ(tptp_minus_1), pv5)) | (~leq(pv5, n588))) | (~((~leq(succ(tptp_minus_1), pv5)) | (~leq(pv5, minus(n1000, succ(succ(tptp_minus_1))))) | (~(leq(pv5, n588) | gt(pv5, succ(tptp_minus_1)))) | (~((~gt(pv5, succ(tptp_minus_1))) | leq(pv5, n588))))))),
% 0.54/0.63 inference(monotonicity,[status(thm)],[381, 377])).
% 0.54/0.63 tff(383,plain,
% 0.54/0.63 (((~(leq(succ(tptp_minus_1), pv5) & leq(pv5, n588))) | (leq(succ(tptp_minus_1), pv5) & leq(pv5, minus(n1000, succ(succ(tptp_minus_1)))) & (leq(pv5, n588) | gt(pv5, succ(tptp_minus_1))) & ((~gt(pv5, succ(tptp_minus_1))) | leq(pv5, n588)))) <=> ((~leq(succ(tptp_minus_1), pv5)) | (~leq(pv5, n588)) | (~((~leq(succ(tptp_minus_1), pv5)) | (~leq(pv5, minus(n1000, succ(succ(tptp_minus_1))))) | (~(leq(pv5, n588) | gt(pv5, succ(tptp_minus_1)))) | (~((~gt(pv5, succ(tptp_minus_1))) | leq(pv5, n588))))))),
% 0.54/0.63 inference(transitivity,[status(thm)],[382, 376])).
% 0.54/0.63 tff(384,plain,
% 0.54/0.63 ((((~leq(succ(tptp_minus_1), pv5)) | (~leq(pv5, n588)) | (~leq(succ(tptp_minus_1), pv31)) | (~leq(pv31, minus(succ(succ(succ(succ(succ(succ(succ(tptp_minus_1))))))), succ(succ(tptp_minus_1)))))) | (~((~leq(succ(tptp_minus_1), pv5)) | (~leq(pv5, n588))))) <=> ((~leq(succ(tptp_minus_1), pv5)) | (~leq(pv5, n588)) | (~leq(succ(tptp_minus_1), pv31)) | (~leq(pv31, minus(succ(succ(succ(succ(succ(succ(succ(tptp_minus_1))))))), succ(succ(tptp_minus_1))))) | (~((~leq(succ(tptp_minus_1), pv5)) | (~leq(pv5, n588)))))),
% 0.54/0.63 inference(rewrite,[status(thm)],[])).
% 0.54/0.63 tff(385,plain,
% 0.54/0.63 ((~(~((~leq(succ(tptp_minus_1), pv5)) | (~leq(pv5, n588)) | (~leq(succ(tptp_minus_1), pv31)) | (~leq(pv31, minus(succ(succ(succ(succ(succ(succ(succ(tptp_minus_1))))))), succ(succ(tptp_minus_1)))))))) <=> ((~leq(succ(tptp_minus_1), pv5)) | (~leq(pv5, n588)) | (~leq(succ(tptp_minus_1), pv31)) | (~leq(pv31, minus(succ(succ(succ(succ(succ(succ(succ(tptp_minus_1))))))), succ(succ(tptp_minus_1))))))),
% 0.54/0.63 inference(rewrite,[status(thm)],[])).
% 0.54/0.63 tff(386,plain,
% 0.54/0.63 ((leq(succ(tptp_minus_1), pv5) & leq(succ(tptp_minus_1), pv31) & leq(pv5, n588) & leq(pv31, minus(succ(succ(succ(succ(succ(succ(succ(tptp_minus_1))))))), succ(succ(tptp_minus_1))))) <=> (~((~leq(succ(tptp_minus_1), pv5)) | (~leq(pv5, n588)) | (~leq(succ(tptp_minus_1), pv31)) | (~leq(pv31, minus(succ(succ(succ(succ(succ(succ(succ(tptp_minus_1))))))), succ(succ(tptp_minus_1)))))))),
% 0.54/0.63 inference(rewrite,[status(thm)],[])).
% 0.54/0.63 tff(387,plain,
% 0.54/0.63 ((~(leq(succ(tptp_minus_1), pv5) & leq(succ(tptp_minus_1), pv31) & leq(pv5, n588) & leq(pv31, minus(succ(succ(succ(succ(succ(succ(succ(tptp_minus_1))))))), succ(succ(tptp_minus_1)))))) <=> (~(~((~leq(succ(tptp_minus_1), pv5)) | (~leq(pv5, n588)) | (~leq(succ(tptp_minus_1), pv31)) | (~leq(pv31, minus(succ(succ(succ(succ(succ(succ(succ(tptp_minus_1))))))), succ(succ(tptp_minus_1))))))))),
% 0.54/0.63 inference(monotonicity,[status(thm)],[386])).
% 0.54/0.63 tff(388,plain,
% 0.54/0.63 ((~(leq(succ(tptp_minus_1), pv5) & leq(succ(tptp_minus_1), pv31) & leq(pv5, n588) & leq(pv31, minus(succ(succ(succ(succ(succ(succ(succ(tptp_minus_1))))))), succ(succ(tptp_minus_1)))))) <=> ((~leq(succ(tptp_minus_1), pv5)) | (~leq(pv5, n588)) | (~leq(succ(tptp_minus_1), pv31)) | (~leq(pv31, minus(succ(succ(succ(succ(succ(succ(succ(tptp_minus_1))))))), succ(succ(tptp_minus_1))))))),
% 0.54/0.63 inference(transitivity,[status(thm)],[387, 385])).
% 0.54/0.63 tff(389,plain,
% 0.54/0.63 (((~(leq(succ(tptp_minus_1), pv5) & leq(succ(tptp_minus_1), pv31) & leq(pv5, n588) & leq(pv31, minus(succ(succ(succ(succ(succ(succ(succ(tptp_minus_1))))))), succ(succ(tptp_minus_1)))))) | (leq(succ(tptp_minus_1), pv5) & leq(pv5, n588))) <=> (((~leq(succ(tptp_minus_1), pv5)) | (~leq(pv5, n588)) | (~leq(succ(tptp_minus_1), pv31)) | (~leq(pv31, minus(succ(succ(succ(succ(succ(succ(succ(tptp_minus_1))))))), succ(succ(tptp_minus_1)))))) | (~((~leq(succ(tptp_minus_1), pv5)) | (~leq(pv5, n588)))))),
% 0.54/0.63 inference(monotonicity,[status(thm)],[388, 379])).
% 0.54/0.63 tff(390,plain,
% 0.54/0.63 (((~(leq(succ(tptp_minus_1), pv5) & leq(succ(tptp_minus_1), pv31) & leq(pv5, n588) & leq(pv31, minus(succ(succ(succ(succ(succ(succ(succ(tptp_minus_1))))))), succ(succ(tptp_minus_1)))))) | (leq(succ(tptp_minus_1), pv5) & leq(pv5, n588))) <=> ((~leq(succ(tptp_minus_1), pv5)) | (~leq(pv5, n588)) | (~leq(succ(tptp_minus_1), pv31)) | (~leq(pv31, minus(succ(succ(succ(succ(succ(succ(succ(tptp_minus_1))))))), succ(succ(tptp_minus_1))))) | (~((~leq(succ(tptp_minus_1), pv5)) | (~leq(pv5, n588)))))),
% 0.54/0.63 inference(transitivity,[status(thm)],[389, 384])).
% 0.54/0.63 tff(391,plain,
% 0.54/0.63 ((((~leq(succ(tptp_minus_1), pv5)) | (~leq(succ(tptp_minus_1), pv21)) | (~leq(pv5, n588)) | (~leq(pv21, minus(succ(succ(succ(succ(succ(succ(succ(tptp_minus_1))))))), succ(succ(tptp_minus_1)))))) | (~((~leq(succ(tptp_minus_1), pv5)) | (~leq(succ(tptp_minus_1), pv21)) | (~leq(pv5, n588)) | (~leq(pv21, minus(succ(succ(succ(succ(succ(succ(succ(tptp_minus_1))))))), succ(succ(tptp_minus_1))))) | (~leq(pv21, succ(succ(succ(succ(succ(succ(tptp_minus_1))))))))))) <=> ((~leq(succ(tptp_minus_1), pv5)) | (~leq(succ(tptp_minus_1), pv21)) | (~leq(pv5, n588)) | (~leq(pv21, minus(succ(succ(succ(succ(succ(succ(succ(tptp_minus_1))))))), succ(succ(tptp_minus_1))))) | (~((~leq(succ(tptp_minus_1), pv5)) | (~leq(succ(tptp_minus_1), pv21)) | (~leq(pv5, n588)) | (~leq(pv21, minus(succ(succ(succ(succ(succ(succ(succ(tptp_minus_1))))))), succ(succ(tptp_minus_1))))) | (~leq(pv21, succ(succ(succ(succ(succ(succ(tptp_minus_1)))))))))))),
% 0.54/0.63 inference(rewrite,[status(thm)],[])).
% 0.54/0.63 tff(392,plain,
% 0.54/0.63 ((leq(succ(tptp_minus_1), pv5) & leq(succ(tptp_minus_1), pv21) & leq(pv5, n588) & leq(pv21, succ(succ(succ(succ(succ(succ(tptp_minus_1))))))) & leq(pv21, minus(succ(succ(succ(succ(succ(succ(succ(tptp_minus_1))))))), succ(succ(tptp_minus_1))))) <=> (~((~leq(succ(tptp_minus_1), pv5)) | (~leq(succ(tptp_minus_1), pv21)) | (~leq(pv5, n588)) | (~leq(pv21, minus(succ(succ(succ(succ(succ(succ(succ(tptp_minus_1))))))), succ(succ(tptp_minus_1))))) | (~leq(pv21, succ(succ(succ(succ(succ(succ(tptp_minus_1))))))))))),
% 0.54/0.63 inference(rewrite,[status(thm)],[])).
% 0.54/0.63 tff(393,plain,
% 0.54/0.63 ((~(~((~leq(succ(tptp_minus_1), pv5)) | (~leq(succ(tptp_minus_1), pv21)) | (~leq(pv5, n588)) | (~leq(pv21, minus(succ(succ(succ(succ(succ(succ(succ(tptp_minus_1))))))), succ(succ(tptp_minus_1)))))))) <=> ((~leq(succ(tptp_minus_1), pv5)) | (~leq(succ(tptp_minus_1), pv21)) | (~leq(pv5, n588)) | (~leq(pv21, minus(succ(succ(succ(succ(succ(succ(succ(tptp_minus_1))))))), succ(succ(tptp_minus_1))))))),
% 0.54/0.63 inference(rewrite,[status(thm)],[])).
% 0.54/0.63 tff(394,plain,
% 0.54/0.63 ((leq(succ(tptp_minus_1), pv5) & leq(succ(tptp_minus_1), pv21) & leq(pv5, n588) & leq(pv21, minus(succ(succ(succ(succ(succ(succ(succ(tptp_minus_1))))))), succ(succ(tptp_minus_1))))) <=> (~((~leq(succ(tptp_minus_1), pv5)) | (~leq(succ(tptp_minus_1), pv21)) | (~leq(pv5, n588)) | (~leq(pv21, minus(succ(succ(succ(succ(succ(succ(succ(tptp_minus_1))))))), succ(succ(tptp_minus_1)))))))),
% 0.54/0.63 inference(rewrite,[status(thm)],[])).
% 0.54/0.63 tff(395,plain,
% 0.54/0.63 ((~(leq(succ(tptp_minus_1), pv5) & leq(succ(tptp_minus_1), pv21) & leq(pv5, n588) & leq(pv21, minus(succ(succ(succ(succ(succ(succ(succ(tptp_minus_1))))))), succ(succ(tptp_minus_1)))))) <=> (~(~((~leq(succ(tptp_minus_1), pv5)) | (~leq(succ(tptp_minus_1), pv21)) | (~leq(pv5, n588)) | (~leq(pv21, minus(succ(succ(succ(succ(succ(succ(succ(tptp_minus_1))))))), succ(succ(tptp_minus_1))))))))),
% 0.54/0.63 inference(monotonicity,[status(thm)],[394])).
% 0.54/0.63 tff(396,plain,
% 0.54/0.63 ((~(leq(succ(tptp_minus_1), pv5) & leq(succ(tptp_minus_1), pv21) & leq(pv5, n588) & leq(pv21, minus(succ(succ(succ(succ(succ(succ(succ(tptp_minus_1))))))), succ(succ(tptp_minus_1)))))) <=> ((~leq(succ(tptp_minus_1), pv5)) | (~leq(succ(tptp_minus_1), pv21)) | (~leq(pv5, n588)) | (~leq(pv21, minus(succ(succ(succ(succ(succ(succ(succ(tptp_minus_1))))))), succ(succ(tptp_minus_1))))))),
% 0.56/0.64 inference(transitivity,[status(thm)],[395, 393])).
% 0.56/0.64 tff(397,plain,
% 0.56/0.64 (((~(leq(succ(tptp_minus_1), pv5) & leq(succ(tptp_minus_1), pv21) & leq(pv5, n588) & leq(pv21, minus(succ(succ(succ(succ(succ(succ(succ(tptp_minus_1))))))), succ(succ(tptp_minus_1)))))) | (leq(succ(tptp_minus_1), pv5) & leq(succ(tptp_minus_1), pv21) & leq(pv5, n588) & leq(pv21, succ(succ(succ(succ(succ(succ(tptp_minus_1))))))) & leq(pv21, minus(succ(succ(succ(succ(succ(succ(succ(tptp_minus_1))))))), succ(succ(tptp_minus_1)))))) <=> (((~leq(succ(tptp_minus_1), pv5)) | (~leq(succ(tptp_minus_1), pv21)) | (~leq(pv5, n588)) | (~leq(pv21, minus(succ(succ(succ(succ(succ(succ(succ(tptp_minus_1))))))), succ(succ(tptp_minus_1)))))) | (~((~leq(succ(tptp_minus_1), pv5)) | (~leq(succ(tptp_minus_1), pv21)) | (~leq(pv5, n588)) | (~leq(pv21, minus(succ(succ(succ(succ(succ(succ(succ(tptp_minus_1))))))), succ(succ(tptp_minus_1))))) | (~leq(pv21, succ(succ(succ(succ(succ(succ(tptp_minus_1)))))))))))),
% 0.56/0.64 inference(monotonicity,[status(thm)],[396, 392])).
% 0.56/0.64 tff(398,plain,
% 0.56/0.64 (((~(leq(succ(tptp_minus_1), pv5) & leq(succ(tptp_minus_1), pv21) & leq(pv5, n588) & leq(pv21, minus(succ(succ(succ(succ(succ(succ(succ(tptp_minus_1))))))), succ(succ(tptp_minus_1)))))) | (leq(succ(tptp_minus_1), pv5) & leq(succ(tptp_minus_1), pv21) & leq(pv5, n588) & leq(pv21, succ(succ(succ(succ(succ(succ(tptp_minus_1))))))) & leq(pv21, minus(succ(succ(succ(succ(succ(succ(succ(tptp_minus_1))))))), succ(succ(tptp_minus_1)))))) <=> ((~leq(succ(tptp_minus_1), pv5)) | (~leq(succ(tptp_minus_1), pv21)) | (~leq(pv5, n588)) | (~leq(pv21, minus(succ(succ(succ(succ(succ(succ(succ(tptp_minus_1))))))), succ(succ(tptp_minus_1))))) | (~((~leq(succ(tptp_minus_1), pv5)) | (~leq(succ(tptp_minus_1), pv21)) | (~leq(pv5, n588)) | (~leq(pv21, minus(succ(succ(succ(succ(succ(succ(succ(tptp_minus_1))))))), succ(succ(tptp_minus_1))))) | (~leq(pv21, succ(succ(succ(succ(succ(succ(tptp_minus_1)))))))))))),
% 0.56/0.64 inference(transitivity,[status(thm)],[397, 391])).
% 0.56/0.64 tff(399,plain,
% 0.56/0.64 ((leq(succ(tptp_minus_1), succ(tptp_minus_1)) & leq(succ(tptp_minus_1), succ(succ(tptp_minus_1))) & leq(succ(tptp_minus_1), succ(succ(succ(tptp_minus_1)))) & leq(succ(tptp_minus_1), succ(succ(succ(succ(tptp_minus_1))))) & leq(succ(tptp_minus_1), succ(succ(succ(succ(succ(tptp_minus_1)))))) & leq(succ(tptp_minus_1), succ(succ(succ(succ(succ(succ(tptp_minus_1))))))) & leq(succ(tptp_minus_1), succ(succ(succ(succ(succ(succ(succ(tptp_minus_1)))))))) & leq(succ(tptp_minus_1), n7) & leq(succ(tptp_minus_1), minus(succ(succ(succ(succ(succ(tptp_minus_1))))), succ(succ(tptp_minus_1)))) & leq(succ(tptp_minus_1), minus(succ(succ(succ(succ(succ(succ(succ(tptp_minus_1))))))), succ(succ(tptp_minus_1)))) & leq(succ(tptp_minus_1), minus(n1000, succ(succ(tptp_minus_1)))) & leq(succ(succ(tptp_minus_1)), n7) & leq(succ(succ(tptp_minus_1)), minus(succ(succ(succ(succ(succ(tptp_minus_1))))), succ(succ(tptp_minus_1)))) & leq(succ(succ(tptp_minus_1)), minus(succ(succ(succ(succ(succ(succ(succ(tptp_minus_1))))))), succ(succ(tptp_minus_1)))) & leq(succ(succ(succ(tptp_minus_1))), n7) & leq(succ(succ(succ(tptp_minus_1))), minus(succ(succ(succ(succ(succ(tptp_minus_1))))), succ(succ(tptp_minus_1)))) & leq(succ(succ(succ(tptp_minus_1))), minus(succ(succ(succ(succ(succ(succ(succ(tptp_minus_1))))))), succ(succ(tptp_minus_1)))) & leq(succ(succ(succ(succ(tptp_minus_1)))), n7) & leq(succ(succ(succ(succ(tptp_minus_1)))), minus(succ(succ(succ(succ(succ(tptp_minus_1))))), succ(succ(tptp_minus_1)))) & leq(succ(succ(succ(succ(tptp_minus_1)))), minus(succ(succ(succ(succ(succ(succ(succ(tptp_minus_1))))))), succ(succ(tptp_minus_1)))) & leq(succ(succ(succ(succ(succ(tptp_minus_1))))), n7) & leq(succ(succ(succ(succ(succ(tptp_minus_1))))), minus(succ(succ(succ(succ(succ(succ(succ(tptp_minus_1))))))), succ(succ(tptp_minus_1)))) & leq(succ(succ(succ(succ(succ(succ(tptp_minus_1)))))), n7) & leq(succ(succ(succ(succ(succ(succ(tptp_minus_1)))))), minus(succ(succ(succ(succ(succ(succ(succ(tptp_minus_1))))))), succ(succ(tptp_minus_1)))) & leq(succ(succ(succ(succ(succ(succ(succ(tptp_minus_1))))))), n7) & leq(n7, n7) & ((~(leq(succ(tptp_minus_1), pv5) & leq(succ(tptp_minus_1), pv21) & leq(pv5, n588) & leq(pv21, minus(succ(succ(succ(succ(succ(succ(succ(tptp_minus_1))))))), succ(succ(tptp_minus_1)))))) | (leq(succ(tptp_minus_1), pv5) & leq(succ(tptp_minus_1), pv21) & leq(pv5, n588) & leq(pv21, succ(succ(succ(succ(succ(succ(tptp_minus_1))))))) & leq(pv21, minus(succ(succ(succ(succ(succ(succ(succ(tptp_minus_1))))))), succ(succ(tptp_minus_1)))))) & ((~(leq(succ(tptp_minus_1), pv5) & leq(succ(tptp_minus_1), pv31) & leq(pv5, n588) & leq(pv31, minus(succ(succ(succ(succ(succ(succ(succ(tptp_minus_1))))))), succ(succ(tptp_minus_1)))))) | (leq(succ(tptp_minus_1), pv5) & leq(pv5, n588))) & ((~(leq(succ(tptp_minus_1), pv5) & leq(pv5, n588))) | (leq(succ(tptp_minus_1), pv5) & leq(pv5, minus(n1000, succ(succ(tptp_minus_1)))) & (leq(pv5, n588) | gt(pv5, succ(tptp_minus_1))) & ((~gt(pv5, succ(tptp_minus_1))) | leq(pv5, n588))))) <=> (leq(succ(tptp_minus_1), succ(tptp_minus_1)) & leq(succ(tptp_minus_1), succ(succ(tptp_minus_1))) & leq(succ(tptp_minus_1), succ(succ(succ(tptp_minus_1)))) & leq(succ(tptp_minus_1), succ(succ(succ(succ(tptp_minus_1))))) & leq(succ(tptp_minus_1), succ(succ(succ(succ(succ(tptp_minus_1)))))) & leq(succ(tptp_minus_1), succ(succ(succ(succ(succ(succ(tptp_minus_1))))))) & leq(succ(tptp_minus_1), succ(succ(succ(succ(succ(succ(succ(tptp_minus_1)))))))) & leq(succ(tptp_minus_1), n7) & leq(succ(tptp_minus_1), minus(succ(succ(succ(succ(succ(tptp_minus_1))))), succ(succ(tptp_minus_1)))) & leq(succ(tptp_minus_1), minus(succ(succ(succ(succ(succ(succ(succ(tptp_minus_1))))))), succ(succ(tptp_minus_1)))) & leq(succ(tptp_minus_1), minus(n1000, succ(succ(tptp_minus_1)))) & leq(succ(succ(tptp_minus_1)), n7) & leq(succ(succ(tptp_minus_1)), minus(succ(succ(succ(succ(succ(tptp_minus_1))))), succ(succ(tptp_minus_1)))) & leq(succ(succ(tptp_minus_1)), minus(succ(succ(succ(succ(succ(succ(succ(tptp_minus_1))))))), succ(succ(tptp_minus_1)))) & leq(succ(succ(succ(tptp_minus_1))), n7) & leq(succ(succ(succ(tptp_minus_1))), minus(succ(succ(succ(succ(succ(tptp_minus_1))))), succ(succ(tptp_minus_1)))) & leq(succ(succ(succ(tptp_minus_1))), minus(succ(succ(succ(succ(succ(succ(succ(tptp_minus_1))))))), succ(succ(tptp_minus_1)))) & leq(succ(succ(succ(succ(tptp_minus_1)))), n7) & leq(succ(succ(succ(succ(tptp_minus_1)))), minus(succ(succ(succ(succ(succ(tptp_minus_1))))), succ(succ(tptp_minus_1)))) & leq(succ(succ(succ(succ(tptp_minus_1)))), minus(succ(succ(succ(succ(succ(succ(succ(tptp_minus_1))))))), succ(succ(tptp_minus_1)))) & leq(succ(succ(succ(succ(succ(tptp_minus_1))))), n7) & leq(succ(succ(succ(succ(succ(tptp_minus_1))))), minus(succ(succ(succ(succ(succ(succ(succ(tptp_minus_1))))))), succ(succ(tptp_minus_1)))) & leq(succ(succ(succ(succ(succ(succ(tptp_minus_1)))))), n7) & leq(succ(succ(succ(succ(succ(succ(tptp_minus_1)))))), minus(succ(succ(succ(succ(succ(succ(succ(tptp_minus_1))))))), succ(succ(tptp_minus_1)))) & leq(succ(succ(succ(succ(succ(succ(succ(tptp_minus_1))))))), n7) & leq(n7, n7) & ((~leq(succ(tptp_minus_1), pv5)) | (~leq(succ(tptp_minus_1), pv21)) | (~leq(pv5, n588)) | (~leq(pv21, minus(succ(succ(succ(succ(succ(succ(succ(tptp_minus_1))))))), succ(succ(tptp_minus_1))))) | (~((~leq(succ(tptp_minus_1), pv5)) | (~leq(succ(tptp_minus_1), pv21)) | (~leq(pv5, n588)) | (~leq(pv21, minus(succ(succ(succ(succ(succ(succ(succ(tptp_minus_1))))))), succ(succ(tptp_minus_1))))) | (~leq(pv21, succ(succ(succ(succ(succ(succ(tptp_minus_1))))))))))) & ((~leq(succ(tptp_minus_1), pv5)) | (~leq(pv5, n588)) | (~leq(succ(tptp_minus_1), pv31)) | (~leq(pv31, minus(succ(succ(succ(succ(succ(succ(succ(tptp_minus_1))))))), succ(succ(tptp_minus_1))))) | (~((~leq(succ(tptp_minus_1), pv5)) | (~leq(pv5, n588))))) & ((~leq(succ(tptp_minus_1), pv5)) | (~leq(pv5, n588)) | (~((~leq(succ(tptp_minus_1), pv5)) | (~leq(pv5, minus(n1000, succ(succ(tptp_minus_1))))) | (~(leq(pv5, n588) | gt(pv5, succ(tptp_minus_1)))) | (~((~gt(pv5, succ(tptp_minus_1))) | leq(pv5, n588)))))))),
% 0.56/0.64 inference(monotonicity,[status(thm)],[398, 390, 383])).
% 0.56/0.64 tff(400,plain,
% 0.56/0.64 ((leq(succ(tptp_minus_1), succ(tptp_minus_1)) & leq(succ(tptp_minus_1), succ(succ(tptp_minus_1))) & leq(succ(tptp_minus_1), succ(succ(succ(tptp_minus_1)))) & leq(succ(tptp_minus_1), succ(succ(succ(succ(tptp_minus_1))))) & leq(succ(tptp_minus_1), succ(succ(succ(succ(succ(tptp_minus_1)))))) & leq(succ(tptp_minus_1), succ(succ(succ(succ(succ(succ(tptp_minus_1))))))) & leq(succ(tptp_minus_1), succ(succ(succ(succ(succ(succ(succ(tptp_minus_1)))))))) & leq(succ(tptp_minus_1), n7) & leq(succ(tptp_minus_1), minus(succ(succ(succ(succ(succ(tptp_minus_1))))), succ(succ(tptp_minus_1)))) & leq(succ(tptp_minus_1), minus(succ(succ(succ(succ(succ(succ(succ(tptp_minus_1))))))), succ(succ(tptp_minus_1)))) & leq(succ(tptp_minus_1), minus(n1000, succ(succ(tptp_minus_1)))) & leq(succ(succ(tptp_minus_1)), n7) & leq(succ(succ(tptp_minus_1)), minus(succ(succ(succ(succ(succ(tptp_minus_1))))), succ(succ(tptp_minus_1)))) & leq(succ(succ(tptp_minus_1)), minus(succ(succ(succ(succ(succ(succ(succ(tptp_minus_1))))))), succ(succ(tptp_minus_1)))) & leq(succ(succ(succ(tptp_minus_1))), n7) & leq(succ(succ(succ(tptp_minus_1))), minus(succ(succ(succ(succ(succ(tptp_minus_1))))), succ(succ(tptp_minus_1)))) & leq(succ(succ(succ(tptp_minus_1))), minus(succ(succ(succ(succ(succ(succ(succ(tptp_minus_1))))))), succ(succ(tptp_minus_1)))) & leq(succ(succ(succ(succ(tptp_minus_1)))), n7) & leq(succ(succ(succ(succ(tptp_minus_1)))), minus(succ(succ(succ(succ(succ(tptp_minus_1))))), succ(succ(tptp_minus_1)))) & leq(succ(succ(succ(succ(tptp_minus_1)))), minus(succ(succ(succ(succ(succ(succ(succ(tptp_minus_1))))))), succ(succ(tptp_minus_1)))) & leq(succ(succ(succ(succ(succ(tptp_minus_1))))), n7) & leq(succ(succ(succ(succ(succ(tptp_minus_1))))), minus(succ(succ(succ(succ(succ(succ(succ(tptp_minus_1))))))), succ(succ(tptp_minus_1)))) & leq(succ(succ(succ(succ(succ(succ(tptp_minus_1)))))), n7) & leq(succ(succ(succ(succ(succ(succ(tptp_minus_1)))))), minus(succ(succ(succ(succ(succ(succ(succ(tptp_minus_1))))))), succ(succ(tptp_minus_1)))) & leq(succ(succ(succ(succ(succ(succ(succ(tptp_minus_1))))))), n7) & leq(n7, n7) & ((~(leq(succ(tptp_minus_1), pv5) & leq(succ(tptp_minus_1), pv21) & leq(pv5, n588) & leq(pv21, minus(succ(succ(succ(succ(succ(succ(succ(tptp_minus_1))))))), succ(succ(tptp_minus_1)))))) | (leq(succ(tptp_minus_1), pv5) & leq(succ(tptp_minus_1), pv21) & leq(pv5, n588) & leq(pv21, succ(succ(succ(succ(succ(succ(tptp_minus_1))))))) & leq(pv21, minus(succ(succ(succ(succ(succ(succ(succ(tptp_minus_1))))))), succ(succ(tptp_minus_1)))))) & ((~(leq(succ(tptp_minus_1), pv5) & leq(succ(tptp_minus_1), pv31) & leq(pv5, n588) & leq(pv31, minus(succ(succ(succ(succ(succ(succ(succ(tptp_minus_1))))))), succ(succ(tptp_minus_1)))))) | (leq(succ(tptp_minus_1), pv5) & leq(pv5, n588))) & ((~(leq(succ(tptp_minus_1), pv5) & leq(pv5, n588))) | (leq(succ(tptp_minus_1), pv5) & leq(pv5, minus(n1000, succ(succ(tptp_minus_1)))) & (leq(pv5, n588) | gt(pv5, succ(tptp_minus_1))) & ((~gt(pv5, succ(tptp_minus_1))) | leq(pv5, n588))))) <=> (~((~leq(succ(tptp_minus_1), succ(tptp_minus_1))) | (~leq(succ(tptp_minus_1), succ(succ(tptp_minus_1)))) | (~leq(succ(tptp_minus_1), succ(succ(succ(tptp_minus_1))))) | (~leq(succ(tptp_minus_1), succ(succ(succ(succ(tptp_minus_1)))))) | (~leq(succ(tptp_minus_1), succ(succ(succ(succ(succ(tptp_minus_1))))))) | (~leq(succ(tptp_minus_1), succ(succ(succ(succ(succ(succ(tptp_minus_1)))))))) | (~leq(succ(tptp_minus_1), succ(succ(succ(succ(succ(succ(succ(tptp_minus_1))))))))) | (~leq(succ(tptp_minus_1), n7)) | (~leq(succ(tptp_minus_1), minus(succ(succ(succ(succ(succ(tptp_minus_1))))), succ(succ(tptp_minus_1))))) | (~leq(succ(tptp_minus_1), minus(succ(succ(succ(succ(succ(succ(succ(tptp_minus_1))))))), succ(succ(tptp_minus_1))))) | (~leq(succ(tptp_minus_1), minus(n1000, succ(succ(tptp_minus_1))))) | (~leq(succ(succ(tptp_minus_1)), n7)) | (~leq(succ(succ(tptp_minus_1)), minus(succ(succ(succ(succ(succ(tptp_minus_1))))), succ(succ(tptp_minus_1))))) | (~leq(succ(succ(tptp_minus_1)), minus(succ(succ(succ(succ(succ(succ(succ(tptp_minus_1))))))), succ(succ(tptp_minus_1))))) | (~leq(succ(succ(succ(tptp_minus_1))), n7)) | (~leq(succ(succ(succ(tptp_minus_1))), minus(succ(succ(succ(succ(succ(tptp_minus_1))))), succ(succ(tptp_minus_1))))) | (~leq(succ(succ(succ(tptp_minus_1))), minus(succ(succ(succ(succ(succ(succ(succ(tptp_minus_1))))))), succ(succ(tptp_minus_1))))) | (~leq(succ(succ(succ(succ(tptp_minus_1)))), n7)) | (~leq(succ(succ(succ(succ(tptp_minus_1)))), minus(succ(succ(succ(succ(succ(tptp_minus_1))))), succ(succ(tptp_minus_1))))) | (~leq(succ(succ(succ(succ(tptp_minus_1)))), minus(succ(succ(succ(succ(succ(succ(succ(tptp_minus_1))))))), succ(succ(tptp_minus_1))))) | (~leq(succ(succ(succ(succ(succ(tptp_minus_1))))), n7)) | (~leq(succ(succ(succ(succ(succ(tptp_minus_1))))), minus(succ(succ(succ(succ(succ(succ(succ(tptp_minus_1))))))), succ(succ(tptp_minus_1))))) | (~leq(succ(succ(succ(succ(succ(succ(tptp_minus_1)))))), n7)) | (~leq(succ(succ(succ(succ(succ(succ(tptp_minus_1)))))), minus(succ(succ(succ(succ(succ(succ(succ(tptp_minus_1))))))), succ(succ(tptp_minus_1))))) | (~leq(succ(succ(succ(succ(succ(succ(succ(tptp_minus_1))))))), n7)) | (~leq(n7, n7)) | (~((~leq(succ(tptp_minus_1), pv5)) | (~leq(succ(tptp_minus_1), pv21)) | (~leq(pv5, n588)) | (~leq(pv21, minus(succ(succ(succ(succ(succ(succ(succ(tptp_minus_1))))))), succ(succ(tptp_minus_1))))) | (~((~leq(succ(tptp_minus_1), pv5)) | (~leq(succ(tptp_minus_1), pv21)) | (~leq(pv5, n588)) | (~leq(pv21, minus(succ(succ(succ(succ(succ(succ(succ(tptp_minus_1))))))), succ(succ(tptp_minus_1))))) | (~leq(pv21, succ(succ(succ(succ(succ(succ(tptp_minus_1)))))))))))) | (~((~leq(succ(tptp_minus_1), pv5)) | (~leq(pv5, n588)) | (~leq(succ(tptp_minus_1), pv31)) | (~leq(pv31, minus(succ(succ(succ(succ(succ(succ(succ(tptp_minus_1))))))), succ(succ(tptp_minus_1))))) | (~((~leq(succ(tptp_minus_1), pv5)) | (~leq(pv5, n588)))))) | (~((~leq(succ(tptp_minus_1), pv5)) | (~leq(pv5, n588)) | (~((~leq(succ(tptp_minus_1), pv5)) | (~leq(pv5, minus(n1000, succ(succ(tptp_minus_1))))) | (~(leq(pv5, n588) | gt(pv5, succ(tptp_minus_1)))) | (~((~gt(pv5, succ(tptp_minus_1))) | leq(pv5, n588)))))))))),
% 0.56/0.64 inference(transitivity,[status(thm)],[399, 375])).
% 0.56/0.64 tff(401,plain,
% 0.56/0.64 ((~(leq(succ(tptp_minus_1), succ(tptp_minus_1)) & leq(succ(tptp_minus_1), succ(succ(tptp_minus_1))) & leq(succ(tptp_minus_1), succ(succ(succ(tptp_minus_1)))) & leq(succ(tptp_minus_1), succ(succ(succ(succ(tptp_minus_1))))) & leq(succ(tptp_minus_1), succ(succ(succ(succ(succ(tptp_minus_1)))))) & leq(succ(tptp_minus_1), succ(succ(succ(succ(succ(succ(tptp_minus_1))))))) & leq(succ(tptp_minus_1), succ(succ(succ(succ(succ(succ(succ(tptp_minus_1)))))))) & leq(succ(tptp_minus_1), n7) & leq(succ(tptp_minus_1), minus(succ(succ(succ(succ(succ(tptp_minus_1))))), succ(succ(tptp_minus_1)))) & leq(succ(tptp_minus_1), minus(succ(succ(succ(succ(succ(succ(succ(tptp_minus_1))))))), succ(succ(tptp_minus_1)))) & leq(succ(tptp_minus_1), minus(n1000, succ(succ(tptp_minus_1)))) & leq(succ(succ(tptp_minus_1)), n7) & leq(succ(succ(tptp_minus_1)), minus(succ(succ(succ(succ(succ(tptp_minus_1))))), succ(succ(tptp_minus_1)))) & leq(succ(succ(tptp_minus_1)), minus(succ(succ(succ(succ(succ(succ(succ(tptp_minus_1))))))), succ(succ(tptp_minus_1)))) & leq(succ(succ(succ(tptp_minus_1))), n7) & leq(succ(succ(succ(tptp_minus_1))), minus(succ(succ(succ(succ(succ(tptp_minus_1))))), succ(succ(tptp_minus_1)))) & leq(succ(succ(succ(tptp_minus_1))), minus(succ(succ(succ(succ(succ(succ(succ(tptp_minus_1))))))), succ(succ(tptp_minus_1)))) & leq(succ(succ(succ(succ(tptp_minus_1)))), n7) & leq(succ(succ(succ(succ(tptp_minus_1)))), minus(succ(succ(succ(succ(succ(tptp_minus_1))))), succ(succ(tptp_minus_1)))) & leq(succ(succ(succ(succ(tptp_minus_1)))), minus(succ(succ(succ(succ(succ(succ(succ(tptp_minus_1))))))), succ(succ(tptp_minus_1)))) & leq(succ(succ(succ(succ(succ(tptp_minus_1))))), n7) & leq(succ(succ(succ(succ(succ(tptp_minus_1))))), minus(succ(succ(succ(succ(succ(succ(succ(tptp_minus_1))))))), succ(succ(tptp_minus_1)))) & leq(succ(succ(succ(succ(succ(succ(tptp_minus_1)))))), n7) & leq(succ(succ(succ(succ(succ(succ(tptp_minus_1)))))), minus(succ(succ(succ(succ(succ(succ(succ(tptp_minus_1))))))), succ(succ(tptp_minus_1)))) & leq(succ(succ(succ(succ(succ(succ(succ(tptp_minus_1))))))), n7) & leq(n7, n7) & ((~(leq(succ(tptp_minus_1), pv5) & leq(succ(tptp_minus_1), pv21) & leq(pv5, n588) & leq(pv21, minus(succ(succ(succ(succ(succ(succ(succ(tptp_minus_1))))))), succ(succ(tptp_minus_1)))))) | (leq(succ(tptp_minus_1), pv5) & leq(succ(tptp_minus_1), pv21) & leq(pv5, n588) & leq(pv21, succ(succ(succ(succ(succ(succ(tptp_minus_1))))))) & leq(pv21, minus(succ(succ(succ(succ(succ(succ(succ(tptp_minus_1))))))), succ(succ(tptp_minus_1)))))) & ((~(leq(succ(tptp_minus_1), pv5) & leq(succ(tptp_minus_1), pv31) & leq(pv5, n588) & leq(pv31, minus(succ(succ(succ(succ(succ(succ(succ(tptp_minus_1))))))), succ(succ(tptp_minus_1)))))) | (leq(succ(tptp_minus_1), pv5) & leq(pv5, n588))) & ((~(leq(succ(tptp_minus_1), pv5) & leq(pv5, n588))) | (leq(succ(tptp_minus_1), pv5) & leq(pv5, minus(n1000, succ(succ(tptp_minus_1)))) & (leq(pv5, n588) | gt(pv5, succ(tptp_minus_1))) & ((~gt(pv5, succ(tptp_minus_1))) | leq(pv5, n588)))))) <=> (~(~((~leq(succ(tptp_minus_1), succ(tptp_minus_1))) | (~leq(succ(tptp_minus_1), succ(succ(tptp_minus_1)))) | (~leq(succ(tptp_minus_1), succ(succ(succ(tptp_minus_1))))) | (~leq(succ(tptp_minus_1), succ(succ(succ(succ(tptp_minus_1)))))) | (~leq(succ(tptp_minus_1), succ(succ(succ(succ(succ(tptp_minus_1))))))) | (~leq(succ(tptp_minus_1), succ(succ(succ(succ(succ(succ(tptp_minus_1)))))))) | (~leq(succ(tptp_minus_1), succ(succ(succ(succ(succ(succ(succ(tptp_minus_1))))))))) | (~leq(succ(tptp_minus_1), n7)) | (~leq(succ(tptp_minus_1), minus(succ(succ(succ(succ(succ(tptp_minus_1))))), succ(succ(tptp_minus_1))))) | (~leq(succ(tptp_minus_1), minus(succ(succ(succ(succ(succ(succ(succ(tptp_minus_1))))))), succ(succ(tptp_minus_1))))) | (~leq(succ(tptp_minus_1), minus(n1000, succ(succ(tptp_minus_1))))) | (~leq(succ(succ(tptp_minus_1)), n7)) | (~leq(succ(succ(tptp_minus_1)), minus(succ(succ(succ(succ(succ(tptp_minus_1))))), succ(succ(tptp_minus_1))))) | (~leq(succ(succ(tptp_minus_1)), minus(succ(succ(succ(succ(succ(succ(succ(tptp_minus_1))))))), succ(succ(tptp_minus_1))))) | (~leq(succ(succ(succ(tptp_minus_1))), n7)) | (~leq(succ(succ(succ(tptp_minus_1))), minus(succ(succ(succ(succ(succ(tptp_minus_1))))), succ(succ(tptp_minus_1))))) | (~leq(succ(succ(succ(tptp_minus_1))), minus(succ(succ(succ(succ(succ(succ(succ(tptp_minus_1))))))), succ(succ(tptp_minus_1))))) | (~leq(succ(succ(succ(succ(tptp_minus_1)))), n7)) | (~leq(succ(succ(succ(succ(tptp_minus_1)))), minus(succ(succ(succ(succ(succ(tptp_minus_1))))), succ(succ(tptp_minus_1))))) | (~leq(succ(succ(succ(succ(tptp_minus_1)))), minus(succ(succ(succ(succ(succ(succ(succ(tptp_minus_1))))))), succ(succ(tptp_minus_1))))) | (~leq(succ(succ(succ(succ(succ(tptp_minus_1))))), n7)) | (~leq(succ(succ(succ(succ(succ(tptp_minus_1))))), minus(succ(succ(succ(succ(succ(succ(succ(tptp_minus_1))))))), succ(succ(tptp_minus_1))))) | (~leq(succ(succ(succ(succ(succ(succ(tptp_minus_1)))))), n7)) | (~leq(succ(succ(succ(succ(succ(succ(tptp_minus_1)))))), minus(succ(succ(succ(succ(succ(succ(succ(tptp_minus_1))))))), succ(succ(tptp_minus_1))))) | (~leq(succ(succ(succ(succ(succ(succ(succ(tptp_minus_1))))))), n7)) | (~leq(n7, n7)) | (~((~leq(succ(tptp_minus_1), pv5)) | (~leq(succ(tptp_minus_1), pv21)) | (~leq(pv5, n588)) | (~leq(pv21, minus(succ(succ(succ(succ(succ(succ(succ(tptp_minus_1))))))), succ(succ(tptp_minus_1))))) | (~((~leq(succ(tptp_minus_1), pv5)) | (~leq(succ(tptp_minus_1), pv21)) | (~leq(pv5, n588)) | (~leq(pv21, minus(succ(succ(succ(succ(succ(succ(succ(tptp_minus_1))))))), succ(succ(tptp_minus_1))))) | (~leq(pv21, succ(succ(succ(succ(succ(succ(tptp_minus_1)))))))))))) | (~((~leq(succ(tptp_minus_1), pv5)) | (~leq(pv5, n588)) | (~leq(succ(tptp_minus_1), pv31)) | (~leq(pv31, minus(succ(succ(succ(succ(succ(succ(succ(tptp_minus_1))))))), succ(succ(tptp_minus_1))))) | (~((~leq(succ(tptp_minus_1), pv5)) | (~leq(pv5, n588)))))) | (~((~leq(succ(tptp_minus_1), pv5)) | (~leq(pv5, n588)) | (~((~leq(succ(tptp_minus_1), pv5)) | (~leq(pv5, minus(n1000, succ(succ(tptp_minus_1))))) | (~(leq(pv5, n588) | gt(pv5, succ(tptp_minus_1)))) | (~((~gt(pv5, succ(tptp_minus_1))) | leq(pv5, n588))))))))))),
% 0.56/0.65 inference(monotonicity,[status(thm)],[400])).
% 0.56/0.65 tff(402,plain,
% 0.56/0.65 ((~(leq(succ(tptp_minus_1), succ(tptp_minus_1)) & leq(succ(tptp_minus_1), succ(succ(tptp_minus_1))) & leq(succ(tptp_minus_1), succ(succ(succ(tptp_minus_1)))) & leq(succ(tptp_minus_1), succ(succ(succ(succ(tptp_minus_1))))) & leq(succ(tptp_minus_1), succ(succ(succ(succ(succ(tptp_minus_1)))))) & leq(succ(tptp_minus_1), succ(succ(succ(succ(succ(succ(tptp_minus_1))))))) & leq(succ(tptp_minus_1), succ(succ(succ(succ(succ(succ(succ(tptp_minus_1)))))))) & leq(succ(tptp_minus_1), n7) & leq(succ(tptp_minus_1), minus(succ(succ(succ(succ(succ(tptp_minus_1))))), succ(succ(tptp_minus_1)))) & leq(succ(tptp_minus_1), minus(succ(succ(succ(succ(succ(succ(succ(tptp_minus_1))))))), succ(succ(tptp_minus_1)))) & leq(succ(tptp_minus_1), minus(n1000, succ(succ(tptp_minus_1)))) & leq(succ(succ(tptp_minus_1)), n7) & leq(succ(succ(tptp_minus_1)), minus(succ(succ(succ(succ(succ(tptp_minus_1))))), succ(succ(tptp_minus_1)))) & leq(succ(succ(tptp_minus_1)), minus(succ(succ(succ(succ(succ(succ(succ(tptp_minus_1))))))), succ(succ(tptp_minus_1)))) & leq(succ(succ(succ(tptp_minus_1))), n7) & leq(succ(succ(succ(tptp_minus_1))), minus(succ(succ(succ(succ(succ(tptp_minus_1))))), succ(succ(tptp_minus_1)))) & leq(succ(succ(succ(tptp_minus_1))), minus(succ(succ(succ(succ(succ(succ(succ(tptp_minus_1))))))), succ(succ(tptp_minus_1)))) & leq(succ(succ(succ(succ(tptp_minus_1)))), n7) & leq(succ(succ(succ(succ(tptp_minus_1)))), minus(succ(succ(succ(succ(succ(tptp_minus_1))))), succ(succ(tptp_minus_1)))) & leq(succ(succ(succ(succ(tptp_minus_1)))), minus(succ(succ(succ(succ(succ(succ(succ(tptp_minus_1))))))), succ(succ(tptp_minus_1)))) & leq(succ(succ(succ(succ(succ(tptp_minus_1))))), n7) & leq(succ(succ(succ(succ(succ(tptp_minus_1))))), minus(succ(succ(succ(succ(succ(succ(succ(tptp_minus_1))))))), succ(succ(tptp_minus_1)))) & leq(succ(succ(succ(succ(succ(succ(tptp_minus_1)))))), n7) & leq(succ(succ(succ(succ(succ(succ(tptp_minus_1)))))), minus(succ(succ(succ(succ(succ(succ(succ(tptp_minus_1))))))), succ(succ(tptp_minus_1)))) & leq(succ(succ(succ(succ(succ(succ(succ(tptp_minus_1))))))), n7) & leq(n7, n7) & ((~(leq(succ(tptp_minus_1), pv5) & leq(succ(tptp_minus_1), pv21) & leq(pv5, n588) & leq(pv21, minus(succ(succ(succ(succ(succ(succ(succ(tptp_minus_1))))))), succ(succ(tptp_minus_1)))))) | (leq(succ(tptp_minus_1), pv5) & leq(succ(tptp_minus_1), pv21) & leq(pv5, n588) & leq(pv21, succ(succ(succ(succ(succ(succ(tptp_minus_1))))))) & leq(pv21, minus(succ(succ(succ(succ(succ(succ(succ(tptp_minus_1))))))), succ(succ(tptp_minus_1)))))) & ((~(leq(succ(tptp_minus_1), pv5) & leq(succ(tptp_minus_1), pv31) & leq(pv5, n588) & leq(pv31, minus(succ(succ(succ(succ(succ(succ(succ(tptp_minus_1))))))), succ(succ(tptp_minus_1)))))) | (leq(succ(tptp_minus_1), pv5) & leq(pv5, n588))) & ((~(leq(succ(tptp_minus_1), pv5) & leq(pv5, n588))) | (leq(succ(tptp_minus_1), pv5) & leq(pv5, minus(n1000, succ(succ(tptp_minus_1)))) & (leq(pv5, n588) | gt(pv5, succ(tptp_minus_1))) & ((~gt(pv5, succ(tptp_minus_1))) | leq(pv5, n588)))))) <=> ((~leq(succ(tptp_minus_1), succ(tptp_minus_1))) | (~leq(succ(tptp_minus_1), succ(succ(tptp_minus_1)))) | (~leq(succ(tptp_minus_1), succ(succ(succ(tptp_minus_1))))) | (~leq(succ(tptp_minus_1), succ(succ(succ(succ(tptp_minus_1)))))) | (~leq(succ(tptp_minus_1), succ(succ(succ(succ(succ(tptp_minus_1))))))) | (~leq(succ(tptp_minus_1), succ(succ(succ(succ(succ(succ(tptp_minus_1)))))))) | (~leq(succ(tptp_minus_1), succ(succ(succ(succ(succ(succ(succ(tptp_minus_1))))))))) | (~leq(succ(tptp_minus_1), n7)) | (~leq(succ(tptp_minus_1), minus(succ(succ(succ(succ(succ(tptp_minus_1))))), succ(succ(tptp_minus_1))))) | (~leq(succ(tptp_minus_1), minus(succ(succ(succ(succ(succ(succ(succ(tptp_minus_1))))))), succ(succ(tptp_minus_1))))) | (~leq(succ(tptp_minus_1), minus(n1000, succ(succ(tptp_minus_1))))) | (~leq(succ(succ(tptp_minus_1)), n7)) | (~leq(succ(succ(tptp_minus_1)), minus(succ(succ(succ(succ(succ(tptp_minus_1))))), succ(succ(tptp_minus_1))))) | (~leq(succ(succ(tptp_minus_1)), minus(succ(succ(succ(succ(succ(succ(succ(tptp_minus_1))))))), succ(succ(tptp_minus_1))))) | (~leq(succ(succ(succ(tptp_minus_1))), n7)) | (~leq(succ(succ(succ(tptp_minus_1))), minus(succ(succ(succ(succ(succ(tptp_minus_1))))), succ(succ(tptp_minus_1))))) | (~leq(succ(succ(succ(tptp_minus_1))), minus(succ(succ(succ(succ(succ(succ(succ(tptp_minus_1))))))), succ(succ(tptp_minus_1))))) | (~leq(succ(succ(succ(succ(tptp_minus_1)))), n7)) | (~leq(succ(succ(succ(succ(tptp_minus_1)))), minus(succ(succ(succ(succ(succ(tptp_minus_1))))), succ(succ(tptp_minus_1))))) | (~leq(succ(succ(succ(succ(tptp_minus_1)))), minus(succ(succ(succ(succ(succ(succ(succ(tptp_minus_1))))))), succ(succ(tptp_minus_1))))) | (~leq(succ(succ(succ(succ(succ(tptp_minus_1))))), n7)) | (~leq(succ(succ(succ(succ(succ(tptp_minus_1))))), minus(succ(succ(succ(succ(succ(succ(succ(tptp_minus_1))))))), succ(succ(tptp_minus_1))))) | (~leq(succ(succ(succ(succ(succ(succ(tptp_minus_1)))))), n7)) | (~leq(succ(succ(succ(succ(succ(succ(tptp_minus_1)))))), minus(succ(succ(succ(succ(succ(succ(succ(tptp_minus_1))))))), succ(succ(tptp_minus_1))))) | (~leq(succ(succ(succ(succ(succ(succ(succ(tptp_minus_1))))))), n7)) | (~leq(n7, n7)) | (~((~leq(succ(tptp_minus_1), pv5)) | (~leq(succ(tptp_minus_1), pv21)) | (~leq(pv5, n588)) | (~leq(pv21, minus(succ(succ(succ(succ(succ(succ(succ(tptp_minus_1))))))), succ(succ(tptp_minus_1))))) | (~((~leq(succ(tptp_minus_1), pv5)) | (~leq(succ(tptp_minus_1), pv21)) | (~leq(pv5, n588)) | (~leq(pv21, minus(succ(succ(succ(succ(succ(succ(succ(tptp_minus_1))))))), succ(succ(tptp_minus_1))))) | (~leq(pv21, succ(succ(succ(succ(succ(succ(tptp_minus_1)))))))))))) | (~((~leq(succ(tptp_minus_1), pv5)) | (~leq(pv5, n588)) | (~leq(succ(tptp_minus_1), pv31)) | (~leq(pv31, minus(succ(succ(succ(succ(succ(succ(succ(tptp_minus_1))))))), succ(succ(tptp_minus_1))))) | (~((~leq(succ(tptp_minus_1), pv5)) | (~leq(pv5, n588)))))) | (~((~leq(succ(tptp_minus_1), pv5)) | (~leq(pv5, n588)) | (~((~leq(succ(tptp_minus_1), pv5)) | (~leq(pv5, minus(n1000, succ(succ(tptp_minus_1))))) | (~(leq(pv5, n588) | gt(pv5, succ(tptp_minus_1)))) | (~((~gt(pv5, succ(tptp_minus_1))) | leq(pv5, n588))))))))),
% 0.56/0.65 inference(transitivity,[status(thm)],[401, 374])).
% 0.56/0.65 tff(403,plain,
% 0.56/0.65 ((~(leq(n0, n0) & leq(n0, n1) & leq(n0, n2) & leq(n0, n3) & leq(n0, n4) & leq(n0, n5) & leq(n0, n6) & leq(n0, n7) & leq(n0, minus(n4, n1)) & leq(n0, minus(n6, n1)) & leq(n0, minus(n1000, n1)) & leq(n1, n7) & leq(n1, minus(n4, n1)) & leq(n1, minus(n6, n1)) & leq(n2, n7) & leq(n2, minus(n4, n1)) & leq(n2, minus(n6, n1)) & leq(n3, n7) & leq(n3, minus(n4, n1)) & leq(n3, minus(n6, n1)) & leq(n4, n7) & leq(n4, minus(n6, n1)) & leq(n5, n7) & leq(n5, minus(n6, n1)) & leq(n6, n7) & leq(n7, n7) & ((~(leq(n0, pv5) & leq(n0, pv21) & leq(pv5, n588) & leq(pv21, minus(n6, n1)))) | (leq(n0, pv5) & leq(n0, pv21) & leq(pv5, n588) & leq(pv21, n5) & leq(pv21, minus(n6, n1)))) & ((~(leq(n0, pv5) & leq(n0, pv31) & leq(pv5, n588) & leq(pv31, minus(n6, n1)))) | (leq(n0, pv5) & leq(pv5, n588))) & ((~(leq(n0, pv5) & leq(pv5, n588))) | (leq(n0, pv5) & leq(pv5, minus(n1000, n1)) & (gt(pv5, n0) | leq(pv5, n588)) & ((~gt(pv5, n0)) | leq(pv5, n588)))))) <=> (~(leq(succ(tptp_minus_1), succ(tptp_minus_1)) & leq(succ(tptp_minus_1), succ(succ(tptp_minus_1))) & leq(succ(tptp_minus_1), succ(succ(succ(tptp_minus_1)))) & leq(succ(tptp_minus_1), succ(succ(succ(succ(tptp_minus_1))))) & leq(succ(tptp_minus_1), succ(succ(succ(succ(succ(tptp_minus_1)))))) & leq(succ(tptp_minus_1), succ(succ(succ(succ(succ(succ(tptp_minus_1))))))) & leq(succ(tptp_minus_1), succ(succ(succ(succ(succ(succ(succ(tptp_minus_1)))))))) & leq(succ(tptp_minus_1), n7) & leq(succ(tptp_minus_1), minus(succ(succ(succ(succ(succ(tptp_minus_1))))), succ(succ(tptp_minus_1)))) & leq(succ(tptp_minus_1), minus(succ(succ(succ(succ(succ(succ(succ(tptp_minus_1))))))), succ(succ(tptp_minus_1)))) & leq(succ(tptp_minus_1), minus(n1000, succ(succ(tptp_minus_1)))) & leq(succ(succ(tptp_minus_1)), n7) & leq(succ(succ(tptp_minus_1)), minus(succ(succ(succ(succ(succ(tptp_minus_1))))), succ(succ(tptp_minus_1)))) & leq(succ(succ(tptp_minus_1)), minus(succ(succ(succ(succ(succ(succ(succ(tptp_minus_1))))))), succ(succ(tptp_minus_1)))) & leq(succ(succ(succ(tptp_minus_1))), n7) & leq(succ(succ(succ(tptp_minus_1))), minus(succ(succ(succ(succ(succ(tptp_minus_1))))), succ(succ(tptp_minus_1)))) & leq(succ(succ(succ(tptp_minus_1))), minus(succ(succ(succ(succ(succ(succ(succ(tptp_minus_1))))))), succ(succ(tptp_minus_1)))) & leq(succ(succ(succ(succ(tptp_minus_1)))), n7) & leq(succ(succ(succ(succ(tptp_minus_1)))), minus(succ(succ(succ(succ(succ(tptp_minus_1))))), succ(succ(tptp_minus_1)))) & leq(succ(succ(succ(succ(tptp_minus_1)))), minus(succ(succ(succ(succ(succ(succ(succ(tptp_minus_1))))))), succ(succ(tptp_minus_1)))) & leq(succ(succ(succ(succ(succ(tptp_minus_1))))), n7) & leq(succ(succ(succ(succ(succ(tptp_minus_1))))), minus(succ(succ(succ(succ(succ(succ(succ(tptp_minus_1))))))), succ(succ(tptp_minus_1)))) & leq(succ(succ(succ(succ(succ(succ(tptp_minus_1)))))), n7) & leq(succ(succ(succ(succ(succ(succ(tptp_minus_1)))))), minus(succ(succ(succ(succ(succ(succ(succ(tptp_minus_1))))))), succ(succ(tptp_minus_1)))) & leq(succ(succ(succ(succ(succ(succ(succ(tptp_minus_1))))))), n7) & leq(n7, n7) & ((~(leq(succ(tptp_minus_1), pv5) & leq(succ(tptp_minus_1), pv21) & leq(pv5, n588) & leq(pv21, minus(succ(succ(succ(succ(succ(succ(succ(tptp_minus_1))))))), succ(succ(tptp_minus_1)))))) | (leq(succ(tptp_minus_1), pv5) & leq(succ(tptp_minus_1), pv21) & leq(pv5, n588) & leq(pv21, succ(succ(succ(succ(succ(succ(tptp_minus_1))))))) & leq(pv21, minus(succ(succ(succ(succ(succ(succ(succ(tptp_minus_1))))))), succ(succ(tptp_minus_1)))))) & ((~(leq(succ(tptp_minus_1), pv5) & leq(succ(tptp_minus_1), pv31) & leq(pv5, n588) & leq(pv31, minus(succ(succ(succ(succ(succ(succ(succ(tptp_minus_1))))))), succ(succ(tptp_minus_1)))))) | (leq(succ(tptp_minus_1), pv5) & leq(pv5, n588))) & ((~(leq(succ(tptp_minus_1), pv5) & leq(pv5, n588))) | (leq(succ(tptp_minus_1), pv5) & leq(pv5, minus(n1000, succ(succ(tptp_minus_1)))) & (leq(pv5, n588) | gt(pv5, succ(tptp_minus_1))) & ((~gt(pv5, succ(tptp_minus_1))) | leq(pv5, n588))))))),
% 0.56/0.65 inference(rewrite,[status(thm)],[])).
% 0.56/0.65 tff(404,plain,
% 0.56/0.65 ((~(leq(n0, n0) & leq(n0, n1) & leq(n0, n2) & leq(n0, n3) & leq(n0, n4) & leq(n0, n5) & leq(n0, n6) & leq(n0, n7) & leq(n0, minus(n4, n1)) & leq(n0, minus(n6, n1)) & leq(n0, minus(n1000, n1)) & leq(n1, n7) & leq(n1, minus(n4, n1)) & leq(n1, minus(n6, n1)) & leq(n2, n7) & leq(n2, minus(n4, n1)) & leq(n2, minus(n6, n1)) & leq(n3, n7) & leq(n3, minus(n4, n1)) & leq(n3, minus(n6, n1)) & leq(n4, n7) & leq(n4, minus(n6, n1)) & leq(n5, n7) & leq(n5, minus(n6, n1)) & leq(n6, n7) & leq(n7, n7) & ((~(leq(n0, pv5) & leq(n0, pv21) & leq(pv5, n588) & leq(pv21, minus(n6, n1)))) | (leq(n0, n0) & leq(n0, pv5) & leq(n0, pv21) & leq(pv5, n588) & leq(pv21, n5) & leq(pv21, minus(n6, n1)))) & ((~(leq(n0, pv5) & leq(n0, pv31) & leq(n0, pv32) & leq(pv5, n588) & leq(pv31, minus(n6, n1)) & leq(pv32, minus(n6, n1)))) | (((pv31 = pv32) | (leq(n0, pv5) & leq(n0, pv31) & leq(n0, pv32) & leq(pv5, n588) & leq(pv31, minus(n6, n1)) & leq(pv32, minus(n6, n1)))) & ((~(pv31 = pv32)) | (leq(n0, pv5) & leq(n0, pv31) & leq(n0, pv32) & leq(pv5, n588) & leq(pv31, minus(n6, n1)) & leq(pv32, minus(n6, n1)))))) & ((~(leq(n0, pv5) & leq(n0, pv31) & leq(pv5, n588) & leq(pv31, minus(n6, n1)))) | (leq(n0, pv5) & leq(pv5, n588))) & ((~(leq(n0, pv5) & leq(pv5, n588))) | (leq(n0, n0) & leq(n0, n1) & leq(n0, n2) & leq(n0, n3) & leq(n0, pv5) & leq(n0, minus(n4, n1)) & leq(n0, minus(n6, n1)) & leq(n1, minus(n4, n1)) & leq(n1, minus(n6, n1)) & leq(n2, minus(n4, n1)) & leq(n2, minus(n6, n1)) & leq(n3, minus(n4, n1)) & leq(pv5, minus(n1000, n1)) & (gt(pv5, n0) | ((gt(pv5, n0) | ((gt(pv5, n0) | ((gt(pv5, n0) | (leq(n0, n0) & leq(n0, n1) & leq(n0, n2) & leq(n0, n3) & leq(n0, n4) & leq(n0, n5) & leq(n0, n6) & leq(n0, n7) & leq(n0, pv5) & leq(n0, minus(n6, n1)) & leq(n1, n7) & leq(n1, minus(n6, n1)) & leq(n2, n7) & leq(n2, minus(n6, n1)) & leq(n3, n7) & leq(n3, minus(n6, n1)) & leq(n4, n7) & leq(n4, minus(n6, n1)) & leq(n5, n7) & leq(n5, minus(n6, n1)) & leq(n6, n7) & leq(n7, n7) & leq(pv5, n588) & leq(pv5, minus(n1000, n1)))) & ((~gt(pv5, n0)) | (leq(n0, n0) & leq(n0, n1) & leq(n0, n2) & leq(n0, n3) & leq(n0, n4) & leq(n0, n5) & leq(n0, n6) & leq(n0, n7) & leq(n0, pv5) & leq(n0, minus(n4, n1)) & leq(n0, minus(n6, n1)) & leq(n1, n7) & leq(n1, minus(n4, n1)) & leq(n1, minus(n6, n1)) & leq(n2, n7) & leq(n2, minus(n4, n1)) & leq(n2, minus(n6, n1)) & leq(n3, n7) & leq(n3, minus(n4, n1)) & leq(n3, minus(n6, n1)) & leq(n4, n7) & leq(n4, minus(n6, n1)) & leq(n5, n7) & leq(n5, minus(n6, n1)) & leq(n6, n7) & leq(n7, n7) & leq(pv5, n588) & leq(pv5, minus(n1000, n1)))))) & ((~gt(pv5, n0)) | (leq(n0, n0) & leq(n0, n1) & leq(n0, n2) & leq(n0, n3) & leq(n0, pv5) & leq(n0, minus(n4, n1)) & leq(n1, minus(n4, n1)) & leq(n2, minus(n4, n1)) & leq(n3, minus(n4, n1)) & leq(pv5, minus(n1000, n1)) & (gt(pv5, n0) | (leq(n0, n0) & leq(n0, n1) & leq(n0, n2) & leq(n0, n3) & leq(n0, n4) & leq(n0, n5) & leq(n0, n6) & leq(n0, n7) & leq(n0, pv5) & leq(n0, minus(n6, n1)) & leq(n1, n7) & leq(n1, minus(n6, n1)) & leq(n2, n7) & leq(n2, minus(n6, n1)) & leq(n3, n7) & leq(n3, minus(n6, n1)) & leq(n4, n7) & leq(n4, minus(n6, n1)) & leq(n5, n7) & leq(n5, minus(n6, n1)) & leq(n6, n7) & leq(n7, n7) & leq(pv5, n588) & leq(pv5, minus(n1000, n1)))) & ((~gt(pv5, n0)) | (leq(n0, n0) & leq(n0, n1) & leq(n0, n2) & leq(n0, n3) & leq(n0, n4) & leq(n0, n5) & leq(n0, n6) & leq(n0, n7) & leq(n0, pv5) & leq(n0, minus(n4, n1)) & leq(n0, minus(n6, n1)) & leq(n1, n7) & leq(n1, minus(n4, n1)) & leq(n1, minus(n6, n1)) & leq(n2, n7) & leq(n2, minus(n4, n1)) & leq(n2, minus(n6, n1)) & leq(n3, n7) & leq(n3, minus(n4, n1)) & leq(n3, minus(n6, n1)) & leq(n4, n7) & leq(n4, minus(n6, n1)) & leq(n5, n7) & leq(n5, minus(n6, n1)) & leq(n6, n7) & leq(n7, n7) & leq(pv5, n588) & leq(pv5, minus(n1000, n1)))))))) & ((~gt(pv5, n0)) | (leq(n0, n0) & leq(n0, n1) & leq(n0, n2) & leq(n0, n3) & leq(n0, n4) & leq(n0, n5) & leq(n0, n6) & leq(n0, n7) & leq(n0, pv5) & leq(n0, minus(n6, n1)) & leq(n1, n7) & leq(n2, n7) & leq(n3, n7) & leq(n3, minus(n6, n1)) & leq(n4, n7) & leq(n5, n7) & leq(n6, n7) & leq(n7, n7) & leq(pv5, minus(n1000, n1)) & (gt(pv5, n0) | ((gt(pv5, n0) | (leq(n0, n0) & leq(n0, n1) & leq(n0, n2) & leq(n0, n3) & leq(n0, n4) & leq(n0, n5) & leq(n0, n6) & leq(n0, n7) & leq(n0, pv5) & leq(n0, minus(n6, n1)) & leq(n1, n7) & leq(n1, minus(n6, n1)) & leq(n2, n7) & leq(n2, minus(n6, n1)) & leq(n3, n7) & leq(n3, minus(n6, n1)) & leq(n4, n7) & leq(n4, minus(n6, n1)) & leq(n5, n7) & leq(n5, minus(n6, n1)) & leq(n6, n7) & leq(n7, n7) & leq(pv5, n588) & leq(pv5, minus(n1000, n1)))) & ((~gt(pv5, n0)) | (leq(n0, n0) & leq(n0, n1) & leq(n0, n2) & leq(n0, n3) & leq(n0, n4) & leq(n0, n5) & leq(n0, n6) & leq(n0, n7) & leq(n0, pv5) & leq(n0, minus(n4, n1)) & leq(n0, minus(n6, n1)) & leq(n1, n7) & leq(n1, minus(n4, n1)) & leq(n1, minus(n6, n1)) & leq(n2, n7) & leq(n2, minus(n4, n1)) & leq(n2, minus(n6, n1)) & leq(n3, n7) & leq(n3, minus(n4, n1)) & leq(n3, minus(n6, n1)) & leq(n4, n7) & leq(n4, minus(n6, n1)) & leq(n5, n7) & leq(n5, minus(n6, n1)) & leq(n6, n7) & leq(n7, n7) & leq(pv5, n588) & leq(pv5, minus(n1000, n1)))))) & ((~gt(pv5, n0)) | (leq(n0, n0) & leq(n0, n1) & leq(n0, n2) & leq(n0, n3) & leq(n0, pv5) & leq(n0, minus(n4, n1)) & leq(n1, minus(n4, n1)) & leq(n2, minus(n4, n1)) & leq(n3, minus(n4, n1)) & leq(pv5, minus(n1000, n1)) & (gt(pv5, n0) | (leq(n0, n0) & leq(n0, n1) & leq(n0, n2) & leq(n0, n3) & leq(n0, n4) & leq(n0, n5) & leq(n0, n6) & leq(n0, n7) & leq(n0, pv5) & leq(n0, minus(n6, n1)) & leq(n1, n7) & leq(n1, minus(n6, n1)) & leq(n2, n7) & leq(n2, minus(n6, n1)) & leq(n3, n7) & leq(n3, minus(n6, n1)) & leq(n4, n7) & leq(n4, minus(n6, n1)) & leq(n5, n7) & leq(n5, minus(n6, n1)) & leq(n6, n7) & leq(n7, n7) & leq(pv5, n588) & leq(pv5, minus(n1000, n1)))) & ((~gt(pv5, n0)) | (leq(n0, n0) & leq(n0, n1) & leq(n0, n2) & leq(n0, n3) & leq(n0, n4) & leq(n0, n5) & leq(n0, n6) & leq(n0, n7) & leq(n0, pv5) & leq(n0, minus(n4, n1)) & leq(n0, minus(n6, n1)) & leq(n1, n7) & leq(n1, minus(n4, n1)) & leq(n1, minus(n6, n1)) & leq(n2, n7) & leq(n2, minus(n4, n1)) & leq(n2, minus(n6, n1)) & leq(n3, n7) & leq(n3, minus(n4, n1)) & leq(n3, minus(n6, n1)) & leq(n4, n7) & leq(n4, minus(n6, n1)) & leq(n5, n7) & leq(n5, minus(n6, n1)) & leq(n6, n7) & leq(n7, n7) & leq(pv5, n588) & leq(pv5, minus(n1000, n1)))))))))) & ((~gt(pv5, n0)) | (leq(n0, n0) & leq(n0, n1) & leq(n0, n2) & leq(n0, n3) & leq(n0, n4) & leq(n0, n5) & leq(n0, n6) & leq(n0, n7) & leq(n0, pv5) & leq(n0, minus(n6, n1)) & leq(n1, n7) & leq(n1, minus(n6, n1)) & leq(n2, n7) & leq(n2, minus(n6, n1)) & leq(n3, n7) & leq(n4, n7) & leq(n4, minus(n6, n1)) & leq(n5, n7) & leq(n5, minus(n6, n1)) & leq(n6, n7) & leq(n7, n7) & leq(pv5, minus(n1000, n1)) & (gt(pv5, n0) | ((gt(pv5, n0) | ((gt(pv5, n0) | (leq(n0, n0) & leq(n0, n1) & leq(n0, n2) & leq(n0, n3) & leq(n0, n4) & leq(n0, n5) & leq(n0, n6) & leq(n0, n7) & leq(n0, pv5) & leq(n0, minus(n6, n1)) & leq(n1, n7) & leq(n1, minus(n6, n1)) & leq(n2, n7) & leq(n2, minus(n6, n1)) & leq(n3, n7) & leq(n3, minus(n6, n1)) & leq(n4, n7) & leq(n4, minus(n6, n1)) & leq(n5, n7) & leq(n5, minus(n6, n1)) & leq(n6, n7) & leq(n7, n7) & leq(pv5, n588) & leq(pv5, minus(n1000, n1)))) & ((~gt(pv5, n0)) | (leq(n0, n0) & leq(n0, n1) & leq(n0, n2) & leq(n0, n3) & leq(n0, n4) & leq(n0, n5) & leq(n0, n6) & leq(n0, n7) & leq(n0, pv5) & leq(n0, minus(n4, n1)) & leq(n0, minus(n6, n1)) & leq(n1, n7) & leq(n1, minus(n4, n1)) & leq(n1, minus(n6, n1)) & leq(n2, n7) & leq(n2, minus(n4, n1)) & leq(n2, minus(n6, n1)) & leq(n3, n7) & leq(n3, minus(n4, n1)) & leq(n3, minus(n6, n1)) & leq(n4, n7) & leq(n4, minus(n6, n1)) & leq(n5, n7) & leq(n5, minus(n6, n1)) & leq(n6, n7) & leq(n7, n7) & leq(pv5, n588) & leq(pv5, minus(n1000, n1)))))) & ((~gt(pv5, n0)) | (leq(n0, n0) & leq(n0, n1) & leq(n0, n2) & leq(n0, n3) & leq(n0, pv5) & leq(n0, minus(n4, n1)) & leq(n1, minus(n4, n1)) & leq(n2, minus(n4, n1)) & leq(n3, minus(n4, n1)) & leq(pv5, minus(n1000, n1)) & (gt(pv5, n0) | (leq(n0, n0) & leq(n0, n1) & leq(n0, n2) & leq(n0, n3) & leq(n0, n4) & leq(n0, n5) & leq(n0, n6) & leq(n0, n7) & leq(n0, pv5) & leq(n0, minus(n6, n1)) & leq(n1, n7) & leq(n1, minus(n6, n1)) & leq(n2, n7) & leq(n2, minus(n6, n1)) & leq(n3, n7) & leq(n3, minus(n6, n1)) & leq(n4, n7) & leq(n4, minus(n6, n1)) & leq(n5, n7) & leq(n5, minus(n6, n1)) & leq(n6, n7) & leq(n7, n7) & leq(pv5, n588) & leq(pv5, minus(n1000, n1)))) & ((~gt(pv5, n0)) | (leq(n0, n0) & leq(n0, n1) & leq(n0, n2) & leq(n0, n3) & leq(n0, n4) & leq(n0, n5) & leq(n0, n6) & leq(n0, n7) & leq(n0, pv5) & leq(n0, minus(n4, n1)) & leq(n0, minus(n6, n1)) & leq(n1, n7) & leq(n1, minus(n4, n1)) & leq(n1, minus(n6, n1)) & leq(n2, n7) & leq(n2, minus(n4, n1)) & leq(n2, minus(n6, n1)) & leq(n3, n7) & leq(n3, minus(n4, n1)) & leq(n3, minus(n6, n1)) & leq(n4, n7) & leq(n4, minus(n6, n1)) & leq(n5, n7) & leq(n5, minus(n6, n1)) & leq(n6, n7) & leq(n7, n7) & leq(pv5, n588) & leq(pv5, minus(n1000, n1)))))))) & ((~gt(pv5, n0)) | (leq(n0, n0) & leq(n0, n1) & leq(n0, n2) & leq(n0, n3) & leq(n0, n4) & leq(n0, n5) & leq(n0, n6) & leq(n0, n7) & leq(n0, pv5) & leq(n0, minus(n6, n1)) & leq(n1, n7) & leq(n2, n7) & leq(n3, n7) & leq(n3, minus(n6, n1)) & leq(n4, n7) & leq(n5, n7) & leq(n6, n7) & leq(n7, n7) & leq(pv5, minus(n1000, n1)) & (gt(pv5, n0) | ((gt(pv5, n0) | (leq(n0, n0) & leq(n0, n1) & leq(n0, n2) & leq(n0, n3) & leq(n0, n4) & leq(n0, n5) & leq(n0, n6) & leq(n0, n7) & leq(n0, pv5) & leq(n0, minus(n6, n1)) & leq(n1, n7) & leq(n1, minus(n6, n1)) & leq(n2, n7) & leq(n2, minus(n6, n1)) & leq(n3, n7) & leq(n3, minus(n6, n1)) & leq(n4, n7) & leq(n4, minus(n6, n1)) & leq(n5, n7) & leq(n5, minus(n6, n1)) & leq(n6, n7) & leq(n7, n7) & leq(pv5, n588) & leq(pv5, minus(n1000, n1)))) & ((~gt(pv5, n0)) | (leq(n0, n0) & leq(n0, n1) & leq(n0, n2) & leq(n0, n3) & leq(n0, n4) & leq(n0, n5) & leq(n0, n6) & leq(n0, n7) & leq(n0, pv5) & leq(n0, minus(n4, n1)) & leq(n0, minus(n6, n1)) & leq(n1, n7) & leq(n1, minus(n4, n1)) & leq(n1, minus(n6, n1)) & leq(n2, n7) & leq(n2, minus(n4, n1)) & leq(n2, minus(n6, n1)) & leq(n3, n7) & leq(n3, minus(n4, n1)) & leq(n3, minus(n6, n1)) & leq(n4, n7) & leq(n4, minus(n6, n1)) & leq(n5, n7) & leq(n5, minus(n6, n1)) & leq(n6, n7) & leq(n7, n7) & leq(pv5, n588) & leq(pv5, minus(n1000, n1)))))) & ((~gt(pv5, n0)) | (leq(n0, n0) & leq(n0, n1) & leq(n0, n2) & leq(n0, n3) & leq(n0, pv5) & leq(n0, minus(n4, n1)) & leq(n1, minus(n4, n1)) & leq(n2, minus(n4, n1)) & leq(n3, minus(n4, n1)) & leq(pv5, minus(n1000, n1)) & (gt(pv5, n0) | (leq(n0, n0) & leq(n0, n1) & leq(n0, n2) & leq(n0, n3) & leq(n0, n4) & leq(n0, n5) & leq(n0, n6) & leq(n0, n7) & leq(n0, pv5) & leq(n0, minus(n6, n1)) & leq(n1, n7) & leq(n1, minus(n6, n1)) & leq(n2, n7) & leq(n2, minus(n6, n1)) & leq(n3, n7) & leq(n3, minus(n6, n1)) & leq(n4, n7) & leq(n4, minus(n6, n1)) & leq(n5, n7) & leq(n5, minus(n6, n1)) & leq(n6, n7) & leq(n7, n7) & leq(pv5, n588) & leq(pv5, minus(n1000, n1)))) & ((~gt(pv5, n0)) | (leq(n0, n0) & leq(n0, n1) & leq(n0, n2) & leq(n0, n3) & leq(n0, n4) & leq(n0, n5) & leq(n0, n6) & leq(n0, n7) & leq(n0, pv5) & leq(n0, minus(n4, n1)) & leq(n0, minus(n6, n1)) & leq(n1, n7) & leq(n1, minus(n4, n1)) & leq(n1, minus(n6, n1)) & leq(n2, n7) & leq(n2, minus(n4, n1)) & leq(n2, minus(n6, n1)) & leq(n3, n7) & leq(n3, minus(n4, n1)) & leq(n3, minus(n6, n1)) & leq(n4, n7) & leq(n4, minus(n6, n1)) & leq(n5, n7) & leq(n5, minus(n6, n1)) & leq(n6, n7) & leq(n7, n7) & leq(pv5, n588) & leq(pv5, minus(n1000, n1)))))))))))))) <=> (~(leq(n0, n0) & leq(n0, n1) & leq(n0, n2) & leq(n0, n3) & leq(n0, n4) & leq(n0, n5) & leq(n0, n6) & leq(n0, n7) & leq(n0, minus(n4, n1)) & leq(n0, minus(n6, n1)) & leq(n0, minus(n1000, n1)) & leq(n1, n7) & leq(n1, minus(n4, n1)) & leq(n1, minus(n6, n1)) & leq(n2, n7) & leq(n2, minus(n4, n1)) & leq(n2, minus(n6, n1)) & leq(n3, n7) & leq(n3, minus(n4, n1)) & leq(n3, minus(n6, n1)) & leq(n4, n7) & leq(n4, minus(n6, n1)) & leq(n5, n7) & leq(n5, minus(n6, n1)) & leq(n6, n7) & leq(n7, n7) & ((~(leq(n0, pv5) & leq(n0, pv21) & leq(pv5, n588) & leq(pv21, minus(n6, n1)))) | (leq(n0, pv5) & leq(n0, pv21) & leq(pv5, n588) & leq(pv21, n5) & leq(pv21, minus(n6, n1)))) & ((~(leq(n0, pv5) & leq(n0, pv31) & leq(pv5, n588) & leq(pv31, minus(n6, n1)))) | (leq(n0, pv5) & leq(pv5, n588))) & ((~(leq(n0, pv5) & leq(pv5, n588))) | (leq(n0, pv5) & leq(pv5, minus(n1000, n1)) & (gt(pv5, n0) | leq(pv5, n588)) & ((~gt(pv5, n0)) | leq(pv5, n588))))))),
% 0.56/0.67 inference(rewrite,[status(thm)],[])).
% 0.56/0.67 tff(405,plain,
% 0.56/0.67 ((~(((~true) | (leq(n0, n0) & leq(n0, n1) & leq(n0, n2) & leq(n0, n3) & leq(n0, n4) & leq(n0, n5) & leq(n0, n6) & leq(n0, n7) & leq(n0, minus(n4, n1)) & leq(n0, minus(n6, n1)) & leq(n0, minus(n1000, n1)) & leq(n1, n7) & leq(n1, minus(n4, n1)) & leq(n1, minus(n6, n1)) & leq(n2, n7) & leq(n2, minus(n4, n1)) & leq(n2, minus(n6, n1)) & leq(n3, n7) & leq(n3, minus(n4, n1)) & leq(n3, minus(n6, n1)) & leq(n4, n7) & leq(n4, minus(n6, n1)) & leq(n5, n7) & leq(n5, minus(n6, n1)) & leq(n6, n7) & leq(n7, n7))) & ((~(leq(n0, pv5) & leq(n0, pv21) & leq(pv5, n588) & leq(pv21, minus(n6, n1)))) | (leq(n0, n0) & leq(n0, pv5) & leq(n0, pv21) & leq(pv5, n588) & leq(pv21, n5) & leq(pv21, minus(n6, n1)))) & ((~(leq(n0, pv5) & leq(n0, pv31) & leq(n0, pv32) & leq(pv5, n588) & leq(pv31, minus(n6, n1)) & leq(pv32, minus(n6, n1)))) | (((pv31 = pv32) | (leq(n0, pv5) & leq(n0, pv31) & leq(n0, pv32) & leq(pv5, n588) & leq(pv31, minus(n6, n1)) & leq(pv32, minus(n6, n1)))) & ((~(pv31 = pv32)) | (leq(n0, pv5) & leq(n0, pv31) & leq(n0, pv32) & leq(pv5, n588) & leq(pv31, minus(n6, n1)) & leq(pv32, minus(n6, n1)))))) & ((~(leq(n0, pv5) & leq(n0, pv31) & leq(pv5, n588) & leq(pv31, minus(n6, n1)))) | (leq(n0, pv5) & leq(pv5, n588))) & (true | (~(leq(n0, pv5) & leq(pv5, n588)))) & ((~(leq(n0, pv5) & leq(pv5, n588))) | (leq(n0, n0) & leq(n0, n1) & leq(n0, n2) & leq(n0, n3) & leq(n0, pv5) & leq(n0, minus(n4, n1)) & leq(n0, minus(n6, n1)) & leq(n1, minus(n4, n1)) & leq(n1, minus(n6, n1)) & leq(n2, minus(n4, n1)) & leq(n2, minus(n6, n1)) & leq(n3, minus(n4, n1)) & leq(pv5, minus(n1000, n1)) & (gt(pv5, n0) | ((gt(pv5, n0) | ((gt(pv5, n0) | ((gt(pv5, n0) | (leq(n0, n0) & leq(n0, n1) & leq(n0, n2) & leq(n0, n3) & leq(n0, n4) & leq(n0, n5) & leq(n0, n6) & leq(n0, n7) & leq(n0, pv5) & leq(n0, minus(n6, n1)) & leq(n1, n7) & leq(n1, minus(n6, n1)) & leq(n2, n7) & leq(n2, minus(n6, n1)) & leq(n3, n7) & leq(n3, minus(n6, n1)) & leq(n4, n7) & leq(n4, minus(n6, n1)) & leq(n5, n7) & leq(n5, minus(n6, n1)) & leq(n6, n7) & leq(n7, n7) & leq(pv5, n588) & leq(pv5, minus(n1000, n1)))) & ((~gt(pv5, n0)) | (leq(n0, n0) & leq(n0, n1) & leq(n0, n2) & leq(n0, n3) & leq(n0, n4) & leq(n0, n5) & leq(n0, n6) & leq(n0, n7) & leq(n0, pv5) & leq(n0, minus(n4, n1)) & leq(n0, minus(n6, n1)) & leq(n1, n7) & leq(n1, minus(n4, n1)) & leq(n1, minus(n6, n1)) & leq(n2, n7) & leq(n2, minus(n4, n1)) & leq(n2, minus(n6, n1)) & leq(n3, n7) & leq(n3, minus(n4, n1)) & leq(n3, minus(n6, n1)) & leq(n4, n7) & leq(n4, minus(n6, n1)) & leq(n5, n7) & leq(n5, minus(n6, n1)) & leq(n6, n7) & leq(n7, n7) & leq(pv5, n588) & leq(pv5, minus(n1000, n1)))))) & ((~gt(pv5, n0)) | (leq(n0, n0) & leq(n0, n1) & leq(n0, n2) & leq(n0, n3) & leq(n0, pv5) & leq(n0, minus(n4, n1)) & leq(n1, minus(n4, n1)) & leq(n2, minus(n4, n1)) & leq(n3, minus(n4, n1)) & leq(pv5, minus(n1000, n1)) & (gt(pv5, n0) | (leq(n0, n0) & leq(n0, n1) & leq(n0, n2) & leq(n0, n3) & leq(n0, n4) & leq(n0, n5) & leq(n0, n6) & leq(n0, n7) & leq(n0, pv5) & leq(n0, minus(n6, n1)) & leq(n1, n7) & leq(n1, minus(n6, n1)) & leq(n2, n7) & leq(n2, minus(n6, n1)) & leq(n3, n7) & leq(n3, minus(n6, n1)) & leq(n4, n7) & leq(n4, minus(n6, n1)) & leq(n5, n7) & leq(n5, minus(n6, n1)) & leq(n6, n7) & leq(n7, n7) & leq(pv5, n588) & leq(pv5, minus(n1000, n1)))) & ((~gt(pv5, n0)) | (leq(n0, n0) & leq(n0, n1) & leq(n0, n2) & leq(n0, n3) & leq(n0, n4) & leq(n0, n5) & leq(n0, n6) & leq(n0, n7) & leq(n0, pv5) & leq(n0, minus(n4, n1)) & leq(n0, minus(n6, n1)) & leq(n1, n7) & leq(n1, minus(n4, n1)) & leq(n1, minus(n6, n1)) & leq(n2, n7) & leq(n2, minus(n4, n1)) & leq(n2, minus(n6, n1)) & leq(n3, n7) & leq(n3, minus(n4, n1)) & leq(n3, minus(n6, n1)) & leq(n4, n7) & leq(n4, minus(n6, n1)) & leq(n5, n7) & leq(n5, minus(n6, n1)) & leq(n6, n7) & leq(n7, n7) & leq(pv5, n588) & leq(pv5, minus(n1000, n1)))))))) & ((~gt(pv5, n0)) | (leq(n0, n0) & leq(n0, n1) & leq(n0, n2) & leq(n0, n3) & leq(n0, n4) & leq(n0, n5) & leq(n0, n6) & leq(n0, n7) & leq(n0, pv5) & leq(n0, minus(n6, n1)) & leq(n1, n7) & leq(n2, n7) & leq(n3, n7) & leq(n3, minus(n6, n1)) & leq(n4, n7) & leq(n5, n7) & leq(n6, n7) & leq(n7, n7) & leq(pv5, minus(n1000, n1)) & (gt(pv5, n0) | ((gt(pv5, n0) | (leq(n0, n0) & leq(n0, n1) & leq(n0, n2) & leq(n0, n3) & leq(n0, n4) & leq(n0, n5) & leq(n0, n6) & leq(n0, n7) & leq(n0, pv5) & leq(n0, minus(n6, n1)) & leq(n1, n7) & leq(n1, minus(n6, n1)) & leq(n2, n7) & leq(n2, minus(n6, n1)) & leq(n3, n7) & leq(n3, minus(n6, n1)) & leq(n4, n7) & leq(n4, minus(n6, n1)) & leq(n5, n7) & leq(n5, minus(n6, n1)) & leq(n6, n7) & leq(n7, n7) & leq(pv5, n588) & leq(pv5, minus(n1000, n1)))) & ((~gt(pv5, n0)) | (leq(n0, n0) & leq(n0, n1) & leq(n0, n2) & leq(n0, n3) & leq(n0, n4) & leq(n0, n5) & leq(n0, n6) & leq(n0, n7) & leq(n0, pv5) & leq(n0, minus(n4, n1)) & leq(n0, minus(n6, n1)) & leq(n1, n7) & leq(n1, minus(n4, n1)) & leq(n1, minus(n6, n1)) & leq(n2, n7) & leq(n2, minus(n4, n1)) & leq(n2, minus(n6, n1)) & leq(n3, n7) & leq(n3, minus(n4, n1)) & leq(n3, minus(n6, n1)) & leq(n4, n7) & leq(n4, minus(n6, n1)) & leq(n5, n7) & leq(n5, minus(n6, n1)) & leq(n6, n7) & leq(n7, n7) & leq(pv5, n588) & leq(pv5, minus(n1000, n1)))))) & ((~gt(pv5, n0)) | (leq(n0, n0) & leq(n0, n1) & leq(n0, n2) & leq(n0, n3) & leq(n0, pv5) & leq(n0, minus(n4, n1)) & leq(n1, minus(n4, n1)) & leq(n2, minus(n4, n1)) & leq(n3, minus(n4, n1)) & leq(pv5, minus(n1000, n1)) & (gt(pv5, n0) | (leq(n0, n0) & leq(n0, n1) & leq(n0, n2) & leq(n0, n3) & leq(n0, n4) & leq(n0, n5) & leq(n0, n6) & leq(n0, n7) & leq(n0, pv5) & leq(n0, minus(n6, n1)) & leq(n1, n7) & leq(n1, minus(n6, n1)) & leq(n2, n7) & leq(n2, minus(n6, n1)) & leq(n3, n7) & leq(n3, minus(n6, n1)) & leq(n4, n7) & leq(n4, minus(n6, n1)) & leq(n5, n7) & leq(n5, minus(n6, n1)) & leq(n6, n7) & leq(n7, n7) & leq(pv5, n588) & leq(pv5, minus(n1000, n1)))) & ((~gt(pv5, n0)) | (leq(n0, n0) & leq(n0, n1) & leq(n0, n2) & leq(n0, n3) & leq(n0, n4) & leq(n0, n5) & leq(n0, n6) & leq(n0, n7) & leq(n0, pv5) & leq(n0, minus(n4, n1)) & leq(n0, minus(n6, n1)) & leq(n1, n7) & leq(n1, minus(n4, n1)) & leq(n1, minus(n6, n1)) & leq(n2, n7) & leq(n2, minus(n4, n1)) & leq(n2, minus(n6, n1)) & leq(n3, n7) & leq(n3, minus(n4, n1)) & leq(n3, minus(n6, n1)) & leq(n4, n7) & leq(n4, minus(n6, n1)) & leq(n5, n7) & leq(n5, minus(n6, n1)) & leq(n6, n7) & leq(n7, n7) & leq(pv5, n588) & leq(pv5, minus(n1000, n1)))))))))) & ((~gt(pv5, n0)) | (leq(n0, n0) & leq(n0, n1) & leq(n0, n2) & leq(n0, n3) & leq(n0, n4) & leq(n0, n5) & leq(n0, n6) & leq(n0, n7) & leq(n0, pv5) & leq(n0, minus(n6, n1)) & leq(n1, n7) & leq(n1, minus(n6, n1)) & leq(n2, n7) & leq(n2, minus(n6, n1)) & leq(n3, n7) & leq(n4, n7) & leq(n4, minus(n6, n1)) & leq(n5, n7) & leq(n5, minus(n6, n1)) & leq(n6, n7) & leq(n7, n7) & leq(pv5, minus(n1000, n1)) & (gt(pv5, n0) | ((gt(pv5, n0) | ((gt(pv5, n0) | (leq(n0, n0) & leq(n0, n1) & leq(n0, n2) & leq(n0, n3) & leq(n0, n4) & leq(n0, n5) & leq(n0, n6) & leq(n0, n7) & leq(n0, pv5) & leq(n0, minus(n6, n1)) & leq(n1, n7) & leq(n1, minus(n6, n1)) & leq(n2, n7) & leq(n2, minus(n6, n1)) & leq(n3, n7) & leq(n3, minus(n6, n1)) & leq(n4, n7) & leq(n4, minus(n6, n1)) & leq(n5, n7) & leq(n5, minus(n6, n1)) & leq(n6, n7) & leq(n7, n7) & leq(pv5, n588) & leq(pv5, minus(n1000, n1)))) & ((~gt(pv5, n0)) | (leq(n0, n0) & leq(n0, n1) & leq(n0, n2) & leq(n0, n3) & leq(n0, n4) & leq(n0, n5) & leq(n0, n6) & leq(n0, n7) & leq(n0, pv5) & leq(n0, minus(n4, n1)) & leq(n0, minus(n6, n1)) & leq(n1, n7) & leq(n1, minus(n4, n1)) & leq(n1, minus(n6, n1)) & leq(n2, n7) & leq(n2, minus(n4, n1)) & leq(n2, minus(n6, n1)) & leq(n3, n7) & leq(n3, minus(n4, n1)) & leq(n3, minus(n6, n1)) & leq(n4, n7) & leq(n4, minus(n6, n1)) & leq(n5, n7) & leq(n5, minus(n6, n1)) & leq(n6, n7) & leq(n7, n7) & leq(pv5, n588) & leq(pv5, minus(n1000, n1)))))) & ((~gt(pv5, n0)) | (leq(n0, n0) & leq(n0, n1) & leq(n0, n2) & leq(n0, n3) & leq(n0, pv5) & leq(n0, minus(n4, n1)) & leq(n1, minus(n4, n1)) & leq(n2, minus(n4, n1)) & leq(n3, minus(n4, n1)) & leq(pv5, minus(n1000, n1)) & (gt(pv5, n0) | (leq(n0, n0) & leq(n0, n1) & leq(n0, n2) & leq(n0, n3) & leq(n0, n4) & leq(n0, n5) & leq(n0, n6) & leq(n0, n7) & leq(n0, pv5) & leq(n0, minus(n6, n1)) & leq(n1, n7) & leq(n1, minus(n6, n1)) & leq(n2, n7) & leq(n2, minus(n6, n1)) & leq(n3, n7) & leq(n3, minus(n6, n1)) & leq(n4, n7) & leq(n4, minus(n6, n1)) & leq(n5, n7) & leq(n5, minus(n6, n1)) & leq(n6, n7) & leq(n7, n7) & leq(pv5, n588) & leq(pv5, minus(n1000, n1)))) & ((~gt(pv5, n0)) | (leq(n0, n0) & leq(n0, n1) & leq(n0, n2) & leq(n0, n3) & leq(n0, n4) & leq(n0, n5) & leq(n0, n6) & leq(n0, n7) & leq(n0, pv5) & leq(n0, minus(n4, n1)) & leq(n0, minus(n6, n1)) & leq(n1, n7) & leq(n1, minus(n4, n1)) & leq(n1, minus(n6, n1)) & leq(n2, n7) & leq(n2, minus(n4, n1)) & leq(n2, minus(n6, n1)) & leq(n3, n7) & leq(n3, minus(n4, n1)) & leq(n3, minus(n6, n1)) & leq(n4, n7) & leq(n4, minus(n6, n1)) & leq(n5, n7) & leq(n5, minus(n6, n1)) & leq(n6, n7) & leq(n7, n7) & leq(pv5, n588) & leq(pv5, minus(n1000, n1)))))))) & ((~gt(pv5, n0)) | (leq(n0, n0) & leq(n0, n1) & leq(n0, n2) & leq(n0, n3) & leq(n0, n4) & leq(n0, n5) & leq(n0, n6) & leq(n0, n7) & leq(n0, pv5) & leq(n0, minus(n6, n1)) & leq(n1, n7) & leq(n2, n7) & leq(n3, n7) & leq(n3, minus(n6, n1)) & leq(n4, n7) & leq(n5, n7) & leq(n6, n7) & leq(n7, n7) & leq(pv5, minus(n1000, n1)) & (gt(pv5, n0) | ((gt(pv5, n0) | (leq(n0, n0) & leq(n0, n1) & leq(n0, n2) & leq(n0, n3) & leq(n0, n4) & leq(n0, n5) & leq(n0, n6) & leq(n0, n7) & leq(n0, pv5) & leq(n0, minus(n6, n1)) & leq(n1, n7) & leq(n1, minus(n6, n1)) & leq(n2, n7) & leq(n2, minus(n6, n1)) & leq(n3, n7) & leq(n3, minus(n6, n1)) & leq(n4, n7) & leq(n4, minus(n6, n1)) & leq(n5, n7) & leq(n5, minus(n6, n1)) & leq(n6, n7) & leq(n7, n7) & leq(pv5, n588) & leq(pv5, minus(n1000, n1)))) & ((~gt(pv5, n0)) | (leq(n0, n0) & leq(n0, n1) & leq(n0, n2) & leq(n0, n3) & leq(n0, n4) & leq(n0, n5) & leq(n0, n6) & leq(n0, n7) & leq(n0, pv5) & leq(n0, minus(n4, n1)) & leq(n0, minus(n6, n1)) & leq(n1, n7) & leq(n1, minus(n4, n1)) & leq(n1, minus(n6, n1)) & leq(n2, n7) & leq(n2, minus(n4, n1)) & leq(n2, minus(n6, n1)) & leq(n3, n7) & leq(n3, minus(n4, n1)) & leq(n3, minus(n6, n1)) & leq(n4, n7) & leq(n4, minus(n6, n1)) & leq(n5, n7) & leq(n5, minus(n6, n1)) & leq(n6, n7) & leq(n7, n7) & leq(pv5, n588) & leq(pv5, minus(n1000, n1)))))) & ((~gt(pv5, n0)) | (leq(n0, n0) & leq(n0, n1) & leq(n0, n2) & leq(n0, n3) & leq(n0, pv5) & leq(n0, minus(n4, n1)) & leq(n1, minus(n4, n1)) & leq(n2, minus(n4, n1)) & leq(n3, minus(n4, n1)) & leq(pv5, minus(n1000, n1)) & (gt(pv5, n0) | (leq(n0, n0) & leq(n0, n1) & leq(n0, n2) & leq(n0, n3) & leq(n0, n4) & leq(n0, n5) & leq(n0, n6) & leq(n0, n7) & leq(n0, pv5) & leq(n0, minus(n6, n1)) & leq(n1, n7) & leq(n1, minus(n6, n1)) & leq(n2, n7) & leq(n2, minus(n6, n1)) & leq(n3, n7) & leq(n3, minus(n6, n1)) & leq(n4, n7) & leq(n4, minus(n6, n1)) & leq(n5, n7) & leq(n5, minus(n6, n1)) & leq(n6, n7) & leq(n7, n7) & leq(pv5, n588) & leq(pv5, minus(n1000, n1)))) & ((~gt(pv5, n0)) | (leq(n0, n0) & leq(n0, n1) & leq(n0, n2) & leq(n0, n3) & leq(n0, n4) & leq(n0, n5) & leq(n0, n6) & leq(n0, n7) & leq(n0, pv5) & leq(n0, minus(n4, n1)) & leq(n0, minus(n6, n1)) & leq(n1, n7) & leq(n1, minus(n4, n1)) & leq(n1, minus(n6, n1)) & leq(n2, n7) & leq(n2, minus(n4, n1)) & leq(n2, minus(n6, n1)) & leq(n3, n7) & leq(n3, minus(n4, n1)) & leq(n3, minus(n6, n1)) & leq(n4, n7) & leq(n4, minus(n6, n1)) & leq(n5, n7) & leq(n5, minus(n6, n1)) & leq(n6, n7) & leq(n7, n7) & leq(pv5, n588) & leq(pv5, minus(n1000, n1)))))))))))) & (true | (~leq(n0, a_select2(sigma, pv23))) | (~(leq(n0, pv23) & leq(pv23, minus(n6, n1))))) & (true | (~(geq(minus(n4, n1), n0) & geq(minus(n1000, n1), n0))) | (~geq(minus(n6, n1), n0))))) <=> (~(leq(n0, n0) & leq(n0, n1) & leq(n0, n2) & leq(n0, n3) & leq(n0, n4) & leq(n0, n5) & leq(n0, n6) & leq(n0, n7) & leq(n0, minus(n4, n1)) & leq(n0, minus(n6, n1)) & leq(n0, minus(n1000, n1)) & leq(n1, n7) & leq(n1, minus(n4, n1)) & leq(n1, minus(n6, n1)) & leq(n2, n7) & leq(n2, minus(n4, n1)) & leq(n2, minus(n6, n1)) & leq(n3, n7) & leq(n3, minus(n4, n1)) & leq(n3, minus(n6, n1)) & leq(n4, n7) & leq(n4, minus(n6, n1)) & leq(n5, n7) & leq(n5, minus(n6, n1)) & leq(n6, n7) & leq(n7, n7) & ((~(leq(n0, pv5) & leq(n0, pv21) & leq(pv5, n588) & leq(pv21, minus(n6, n1)))) | (leq(n0, n0) & leq(n0, pv5) & leq(n0, pv21) & leq(pv5, n588) & leq(pv21, n5) & leq(pv21, minus(n6, n1)))) & ((~(leq(n0, pv5) & leq(n0, pv31) & leq(n0, pv32) & leq(pv5, n588) & leq(pv31, minus(n6, n1)) & leq(pv32, minus(n6, n1)))) | (((pv31 = pv32) | (leq(n0, pv5) & leq(n0, pv31) & leq(n0, pv32) & leq(pv5, n588) & leq(pv31, minus(n6, n1)) & leq(pv32, minus(n6, n1)))) & ((~(pv31 = pv32)) | (leq(n0, pv5) & leq(n0, pv31) & leq(n0, pv32) & leq(pv5, n588) & leq(pv31, minus(n6, n1)) & leq(pv32, minus(n6, n1)))))) & ((~(leq(n0, pv5) & leq(n0, pv31) & leq(pv5, n588) & leq(pv31, minus(n6, n1)))) | (leq(n0, pv5) & leq(pv5, n588))) & ((~(leq(n0, pv5) & leq(pv5, n588))) | (leq(n0, n0) & leq(n0, n1) & leq(n0, n2) & leq(n0, n3) & leq(n0, pv5) & leq(n0, minus(n4, n1)) & leq(n0, minus(n6, n1)) & leq(n1, minus(n4, n1)) & leq(n1, minus(n6, n1)) & leq(n2, minus(n4, n1)) & leq(n2, minus(n6, n1)) & leq(n3, minus(n4, n1)) & leq(pv5, minus(n1000, n1)) & (gt(pv5, n0) | ((gt(pv5, n0) | ((gt(pv5, n0) | ((gt(pv5, n0) | (leq(n0, n0) & leq(n0, n1) & leq(n0, n2) & leq(n0, n3) & leq(n0, n4) & leq(n0, n5) & leq(n0, n6) & leq(n0, n7) & leq(n0, pv5) & leq(n0, minus(n6, n1)) & leq(n1, n7) & leq(n1, minus(n6, n1)) & leq(n2, n7) & leq(n2, minus(n6, n1)) & leq(n3, n7) & leq(n3, minus(n6, n1)) & leq(n4, n7) & leq(n4, minus(n6, n1)) & leq(n5, n7) & leq(n5, minus(n6, n1)) & leq(n6, n7) & leq(n7, n7) & leq(pv5, n588) & leq(pv5, minus(n1000, n1)))) & ((~gt(pv5, n0)) | (leq(n0, n0) & leq(n0, n1) & leq(n0, n2) & leq(n0, n3) & leq(n0, n4) & leq(n0, n5) & leq(n0, n6) & leq(n0, n7) & leq(n0, pv5) & leq(n0, minus(n4, n1)) & leq(n0, minus(n6, n1)) & leq(n1, n7) & leq(n1, minus(n4, n1)) & leq(n1, minus(n6, n1)) & leq(n2, n7) & leq(n2, minus(n4, n1)) & leq(n2, minus(n6, n1)) & leq(n3, n7) & leq(n3, minus(n4, n1)) & leq(n3, minus(n6, n1)) & leq(n4, n7) & leq(n4, minus(n6, n1)) & leq(n5, n7) & leq(n5, minus(n6, n1)) & leq(n6, n7) & leq(n7, n7) & leq(pv5, n588) & leq(pv5, minus(n1000, n1)))))) & ((~gt(pv5, n0)) | (leq(n0, n0) & leq(n0, n1) & leq(n0, n2) & leq(n0, n3) & leq(n0, pv5) & leq(n0, minus(n4, n1)) & leq(n1, minus(n4, n1)) & leq(n2, minus(n4, n1)) & leq(n3, minus(n4, n1)) & leq(pv5, minus(n1000, n1)) & (gt(pv5, n0) | (leq(n0, n0) & leq(n0, n1) & leq(n0, n2) & leq(n0, n3) & leq(n0, n4) & leq(n0, n5) & leq(n0, n6) & leq(n0, n7) & leq(n0, pv5) & leq(n0, minus(n6, n1)) & leq(n1, n7) & leq(n1, minus(n6, n1)) & leq(n2, n7) & leq(n2, minus(n6, n1)) & leq(n3, n7) & leq(n3, minus(n6, n1)) & leq(n4, n7) & leq(n4, minus(n6, n1)) & leq(n5, n7) & leq(n5, minus(n6, n1)) & leq(n6, n7) & leq(n7, n7) & leq(pv5, n588) & leq(pv5, minus(n1000, n1)))) & ((~gt(pv5, n0)) | (leq(n0, n0) & leq(n0, n1) & leq(n0, n2) & leq(n0, n3) & leq(n0, n4) & leq(n0, n5) & leq(n0, n6) & leq(n0, n7) & leq(n0, pv5) & leq(n0, minus(n4, n1)) & leq(n0, minus(n6, n1)) & leq(n1, n7) & leq(n1, minus(n4, n1)) & leq(n1, minus(n6, n1)) & leq(n2, n7) & leq(n2, minus(n4, n1)) & leq(n2, minus(n6, n1)) & leq(n3, n7) & leq(n3, minus(n4, n1)) & leq(n3, minus(n6, n1)) & leq(n4, n7) & leq(n4, minus(n6, n1)) & leq(n5, n7) & leq(n5, minus(n6, n1)) & leq(n6, n7) & leq(n7, n7) & leq(pv5, n588) & leq(pv5, minus(n1000, n1)))))))) & ((~gt(pv5, n0)) | (leq(n0, n0) & leq(n0, n1) & leq(n0, n2) & leq(n0, n3) & leq(n0, n4) & leq(n0, n5) & leq(n0, n6) & leq(n0, n7) & leq(n0, pv5) & leq(n0, minus(n6, n1)) & leq(n1, n7) & leq(n2, n7) & leq(n3, n7) & leq(n3, minus(n6, n1)) & leq(n4, n7) & leq(n5, n7) & leq(n6, n7) & leq(n7, n7) & leq(pv5, minus(n1000, n1)) & (gt(pv5, n0) | ((gt(pv5, n0) | (leq(n0, n0) & leq(n0, n1) & leq(n0, n2) & leq(n0, n3) & leq(n0, n4) & leq(n0, n5) & leq(n0, n6) & leq(n0, n7) & leq(n0, pv5) & leq(n0, minus(n6, n1)) & leq(n1, n7) & leq(n1, minus(n6, n1)) & leq(n2, n7) & leq(n2, minus(n6, n1)) & leq(n3, n7) & leq(n3, minus(n6, n1)) & leq(n4, n7) & leq(n4, minus(n6, n1)) & leq(n5, n7) & leq(n5, minus(n6, n1)) & leq(n6, n7) & leq(n7, n7) & leq(pv5, n588) & leq(pv5, minus(n1000, n1)))) & ((~gt(pv5, n0)) | (leq(n0, n0) & leq(n0, n1) & leq(n0, n2) & leq(n0, n3) & leq(n0, n4) & leq(n0, n5) & leq(n0, n6) & leq(n0, n7) & leq(n0, pv5) & leq(n0, minus(n4, n1)) & leq(n0, minus(n6, n1)) & leq(n1, n7) & leq(n1, minus(n4, n1)) & leq(n1, minus(n6, n1)) & leq(n2, n7) & leq(n2, minus(n4, n1)) & leq(n2, minus(n6, n1)) & leq(n3, n7) & leq(n3, minus(n4, n1)) & leq(n3, minus(n6, n1)) & leq(n4, n7) & leq(n4, minus(n6, n1)) & leq(n5, n7) & leq(n5, minus(n6, n1)) & leq(n6, n7) & leq(n7, n7) & leq(pv5, n588) & leq(pv5, minus(n1000, n1)))))) & ((~gt(pv5, n0)) | (leq(n0, n0) & leq(n0, n1) & leq(n0, n2) & leq(n0, n3) & leq(n0, pv5) & leq(n0, minus(n4, n1)) & leq(n1, minus(n4, n1)) & leq(n2, minus(n4, n1)) & leq(n3, minus(n4, n1)) & leq(pv5, minus(n1000, n1)) & (gt(pv5, n0) | (leq(n0, n0) & leq(n0, n1) & leq(n0, n2) & leq(n0, n3) & leq(n0, n4) & leq(n0, n5) & leq(n0, n6) & leq(n0, n7) & leq(n0, pv5) & leq(n0, minus(n6, n1)) & leq(n1, n7) & leq(n1, minus(n6, n1)) & leq(n2, n7) & leq(n2, minus(n6, n1)) & leq(n3, n7) & leq(n3, minus(n6, n1)) & leq(n4, n7) & leq(n4, minus(n6, n1)) & leq(n5, n7) & leq(n5, minus(n6, n1)) & leq(n6, n7) & leq(n7, n7) & leq(pv5, n588) & leq(pv5, minus(n1000, n1)))) & ((~gt(pv5, n0)) | (leq(n0, n0) & leq(n0, n1) & leq(n0, n2) & leq(n0, n3) & leq(n0, n4) & leq(n0, n5) & leq(n0, n6) & leq(n0, n7) & leq(n0, pv5) & leq(n0, minus(n4, n1)) & leq(n0, minus(n6, n1)) & leq(n1, n7) & leq(n1, minus(n4, n1)) & leq(n1, minus(n6, n1)) & leq(n2, n7) & leq(n2, minus(n4, n1)) & leq(n2, minus(n6, n1)) & leq(n3, n7) & leq(n3, minus(n4, n1)) & leq(n3, minus(n6, n1)) & leq(n4, n7) & leq(n4, minus(n6, n1)) & leq(n5, n7) & leq(n5, minus(n6, n1)) & leq(n6, n7) & leq(n7, n7) & leq(pv5, n588) & leq(pv5, minus(n1000, n1)))))))))) & ((~gt(pv5, n0)) | (leq(n0, n0) & leq(n0, n1) & leq(n0, n2) & leq(n0, n3) & leq(n0, n4) & leq(n0, n5) & leq(n0, n6) & leq(n0, n7) & leq(n0, pv5) & leq(n0, minus(n6, n1)) & leq(n1, n7) & leq(n1, minus(n6, n1)) & leq(n2, n7) & leq(n2, minus(n6, n1)) & leq(n3, n7) & leq(n4, n7) & leq(n4, minus(n6, n1)) & leq(n5, n7) & leq(n5, minus(n6, n1)) & leq(n6, n7) & leq(n7, n7) & leq(pv5, minus(n1000, n1)) & (gt(pv5, n0) | ((gt(pv5, n0) | ((gt(pv5, n0) | (leq(n0, n0) & leq(n0, n1) & leq(n0, n2) & leq(n0, n3) & leq(n0, n4) & leq(n0, n5) & leq(n0, n6) & leq(n0, n7) & leq(n0, pv5) & leq(n0, minus(n6, n1)) & leq(n1, n7) & leq(n1, minus(n6, n1)) & leq(n2, n7) & leq(n2, minus(n6, n1)) & leq(n3, n7) & leq(n3, minus(n6, n1)) & leq(n4, n7) & leq(n4, minus(n6, n1)) & leq(n5, n7) & leq(n5, minus(n6, n1)) & leq(n6, n7) & leq(n7, n7) & leq(pv5, n588) & leq(pv5, minus(n1000, n1)))) & ((~gt(pv5, n0)) | (leq(n0, n0) & leq(n0, n1) & leq(n0, n2) & leq(n0, n3) & leq(n0, n4) & leq(n0, n5) & leq(n0, n6) & leq(n0, n7) & leq(n0, pv5) & leq(n0, minus(n4, n1)) & leq(n0, minus(n6, n1)) & leq(n1, n7) & leq(n1, minus(n4, n1)) & leq(n1, minus(n6, n1)) & leq(n2, n7) & leq(n2, minus(n4, n1)) & leq(n2, minus(n6, n1)) & leq(n3, n7) & leq(n3, minus(n4, n1)) & leq(n3, minus(n6, n1)) & leq(n4, n7) & leq(n4, minus(n6, n1)) & leq(n5, n7) & leq(n5, minus(n6, n1)) & leq(n6, n7) & leq(n7, n7) & leq(pv5, n588) & leq(pv5, minus(n1000, n1)))))) & ((~gt(pv5, n0)) | (leq(n0, n0) & leq(n0, n1) & leq(n0, n2) & leq(n0, n3) & leq(n0, pv5) & leq(n0, minus(n4, n1)) & leq(n1, minus(n4, n1)) & leq(n2, minus(n4, n1)) & leq(n3, minus(n4, n1)) & leq(pv5, minus(n1000, n1)) & (gt(pv5, n0) | (leq(n0, n0) & leq(n0, n1) & leq(n0, n2) & leq(n0, n3) & leq(n0, n4) & leq(n0, n5) & leq(n0, n6) & leq(n0, n7) & leq(n0, pv5) & leq(n0, minus(n6, n1)) & leq(n1, n7) & leq(n1, minus(n6, n1)) & leq(n2, n7) & leq(n2, minus(n6, n1)) & leq(n3, n7) & leq(n3, minus(n6, n1)) & leq(n4, n7) & leq(n4, minus(n6, n1)) & leq(n5, n7) & leq(n5, minus(n6, n1)) & leq(n6, n7) & leq(n7, n7) & leq(pv5, n588) & leq(pv5, minus(n1000, n1)))) & ((~gt(pv5, n0)) | (leq(n0, n0) & leq(n0, n1) & leq(n0, n2) & leq(n0, n3) & leq(n0, n4) & leq(n0, n5) & leq(n0, n6) & leq(n0, n7) & leq(n0, pv5) & leq(n0, minus(n4, n1)) & leq(n0, minus(n6, n1)) & leq(n1, n7) & leq(n1, minus(n4, n1)) & leq(n1, minus(n6, n1)) & leq(n2, n7) & leq(n2, minus(n4, n1)) & leq(n2, minus(n6, n1)) & leq(n3, n7) & leq(n3, minus(n4, n1)) & leq(n3, minus(n6, n1)) & leq(n4, n7) & leq(n4, minus(n6, n1)) & leq(n5, n7) & leq(n5, minus(n6, n1)) & leq(n6, n7) & leq(n7, n7) & leq(pv5, n588) & leq(pv5, minus(n1000, n1)))))))) & ((~gt(pv5, n0)) | (leq(n0, n0) & leq(n0, n1) & leq(n0, n2) & leq(n0, n3) & leq(n0, n4) & leq(n0, n5) & leq(n0, n6) & leq(n0, n7) & leq(n0, pv5) & leq(n0, minus(n6, n1)) & leq(n1, n7) & leq(n2, n7) & leq(n3, n7) & leq(n3, minus(n6, n1)) & leq(n4, n7) & leq(n5, n7) & leq(n6, n7) & leq(n7, n7) & leq(pv5, minus(n1000, n1)) & (gt(pv5, n0) | ((gt(pv5, n0) | (leq(n0, n0) & leq(n0, n1) & leq(n0, n2) & leq(n0, n3) & leq(n0, n4) & leq(n0, n5) & leq(n0, n6) & leq(n0, n7) & leq(n0, pv5) & leq(n0, minus(n6, n1)) & leq(n1, n7) & leq(n1, minus(n6, n1)) & leq(n2, n7) & leq(n2, minus(n6, n1)) & leq(n3, n7) & leq(n3, minus(n6, n1)) & leq(n4, n7) & leq(n4, minus(n6, n1)) & leq(n5, n7) & leq(n5, minus(n6, n1)) & leq(n6, n7) & leq(n7, n7) & leq(pv5, n588) & leq(pv5, minus(n1000, n1)))) & ((~gt(pv5, n0)) | (leq(n0, n0) & leq(n0, n1) & leq(n0, n2) & leq(n0, n3) & leq(n0, n4) & leq(n0, n5) & leq(n0, n6) & leq(n0, n7) & leq(n0, pv5) & leq(n0, minus(n4, n1)) & leq(n0, minus(n6, n1)) & leq(n1, n7) & leq(n1, minus(n4, n1)) & leq(n1, minus(n6, n1)) & leq(n2, n7) & leq(n2, minus(n4, n1)) & leq(n2, minus(n6, n1)) & leq(n3, n7) & leq(n3, minus(n4, n1)) & leq(n3, minus(n6, n1)) & leq(n4, n7) & leq(n4, minus(n6, n1)) & leq(n5, n7) & leq(n5, minus(n6, n1)) & leq(n6, n7) & leq(n7, n7) & leq(pv5, n588) & leq(pv5, minus(n1000, n1)))))) & ((~gt(pv5, n0)) | (leq(n0, n0) & leq(n0, n1) & leq(n0, n2) & leq(n0, n3) & leq(n0, pv5) & leq(n0, minus(n4, n1)) & leq(n1, minus(n4, n1)) & leq(n2, minus(n4, n1)) & leq(n3, minus(n4, n1)) & leq(pv5, minus(n1000, n1)) & (gt(pv5, n0) | (leq(n0, n0) & leq(n0, n1) & leq(n0, n2) & leq(n0, n3) & leq(n0, n4) & leq(n0, n5) & leq(n0, n6) & leq(n0, n7) & leq(n0, pv5) & leq(n0, minus(n6, n1)) & leq(n1, n7) & leq(n1, minus(n6, n1)) & leq(n2, n7) & leq(n2, minus(n6, n1)) & leq(n3, n7) & leq(n3, minus(n6, n1)) & leq(n4, n7) & leq(n4, minus(n6, n1)) & leq(n5, n7) & leq(n5, minus(n6, n1)) & leq(n6, n7) & leq(n7, n7) & leq(pv5, n588) & leq(pv5, minus(n1000, n1)))) & ((~gt(pv5, n0)) | (leq(n0, n0) & leq(n0, n1) & leq(n0, n2) & leq(n0, n3) & leq(n0, n4) & leq(n0, n5) & leq(n0, n6) & leq(n0, n7) & leq(n0, pv5) & leq(n0, minus(n4, n1)) & leq(n0, minus(n6, n1)) & leq(n1, n7) & leq(n1, minus(n4, n1)) & leq(n1, minus(n6, n1)) & leq(n2, n7) & leq(n2, minus(n4, n1)) & leq(n2, minus(n6, n1)) & leq(n3, n7) & leq(n3, minus(n4, n1)) & leq(n3, minus(n6, n1)) & leq(n4, n7) & leq(n4, minus(n6, n1)) & leq(n5, n7) & leq(n5, minus(n6, n1)) & leq(n6, n7) & leq(n7, n7) & leq(pv5, n588) & leq(pv5, minus(n1000, n1))))))))))))))),
% 0.56/0.70 inference(rewrite,[status(thm)],[])).
% 0.56/0.70 tff(406,plain,
% 0.56/0.70 ((((~true) | (leq(n0, n0) & leq(n0, n1) & leq(n0, n2) & leq(n0, n3) & leq(n0, n4) & leq(n0, n5) & leq(n0, n6) & leq(n0, n7) & leq(n0, minus(n4, n1)) & leq(n0, minus(n6, n1)) & leq(n0, minus(n1000, n1)) & leq(n1, n7) & leq(n1, minus(n4, n1)) & leq(n1, minus(n6, n1)) & leq(n2, n7) & leq(n2, minus(n4, n1)) & leq(n2, minus(n6, n1)) & leq(n3, n7) & leq(n3, minus(n4, n1)) & leq(n3, minus(n6, n1)) & leq(n4, n7) & leq(n4, minus(n6, n1)) & leq(n5, n7) & leq(n5, minus(n6, n1)) & leq(n6, n7) & leq(n7, n7))) & ((~(leq(n0, pv5) & leq(n0, pv21) & leq(pv5, n588) & leq(pv21, minus(n6, n1)))) | (leq(n0, n0) & leq(n0, pv5) & leq(n0, pv21) & leq(pv5, n588) & leq(pv21, n5) & leq(pv21, minus(n6, n1)))) & ((~(leq(n0, pv5) & leq(n0, pv31) & leq(n0, pv32) & leq(pv5, n588) & leq(pv31, minus(n6, n1)) & leq(pv32, minus(n6, n1)))) | (((pv31 = pv32) | (leq(n0, pv5) & leq(n0, pv31) & leq(n0, pv32) & leq(pv5, n588) & leq(pv31, minus(n6, n1)) & leq(pv32, minus(n6, n1)))) & ((~(pv31 = pv32)) | (leq(n0, pv5) & leq(n0, pv31) & leq(n0, pv32) & leq(pv5, n588) & leq(pv31, minus(n6, n1)) & leq(pv32, minus(n6, n1)))))) & ((~(leq(n0, pv5) & leq(n0, pv31) & leq(pv5, n588) & leq(pv31, minus(n6, n1)))) | (leq(n0, pv5) & leq(pv5, n588))) & (true | (~(leq(n0, pv5) & leq(pv5, n588)))) & ((~(leq(n0, pv5) & leq(pv5, n588))) | (leq(n0, n0) & leq(n0, n1) & leq(n0, n2) & leq(n0, n3) & leq(n0, pv5) & leq(n0, minus(n4, n1)) & leq(n0, minus(n6, n1)) & leq(n1, minus(n4, n1)) & leq(n1, minus(n6, n1)) & leq(n2, minus(n4, n1)) & leq(n2, minus(n6, n1)) & leq(n3, minus(n4, n1)) & leq(pv5, minus(n1000, n1)) & (gt(pv5, n0) | ((gt(pv5, n0) | ((gt(pv5, n0) | ((gt(pv5, n0) | (leq(n0, n0) & leq(n0, n1) & leq(n0, n2) & leq(n0, n3) & leq(n0, n4) & leq(n0, n5) & leq(n0, n6) & leq(n0, n7) & leq(n0, pv5) & leq(n0, minus(n6, n1)) & leq(n1, n7) & leq(n1, minus(n6, n1)) & leq(n2, n7) & leq(n2, minus(n6, n1)) & leq(n3, n7) & leq(n3, minus(n6, n1)) & leq(n4, n7) & leq(n4, minus(n6, n1)) & leq(n5, n7) & leq(n5, minus(n6, n1)) & leq(n6, n7) & leq(n7, n7) & leq(pv5, n588) & leq(pv5, minus(n1000, n1)))) & ((~gt(pv5, n0)) | (leq(n0, n0) & leq(n0, n1) & leq(n0, n2) & leq(n0, n3) & leq(n0, n4) & leq(n0, n5) & leq(n0, n6) & leq(n0, n7) & leq(n0, pv5) & leq(n0, minus(n4, n1)) & leq(n0, minus(n6, n1)) & leq(n1, n7) & leq(n1, minus(n4, n1)) & leq(n1, minus(n6, n1)) & leq(n2, n7) & leq(n2, minus(n4, n1)) & leq(n2, minus(n6, n1)) & leq(n3, n7) & leq(n3, minus(n4, n1)) & leq(n3, minus(n6, n1)) & leq(n4, n7) & leq(n4, minus(n6, n1)) & leq(n5, n7) & leq(n5, minus(n6, n1)) & leq(n6, n7) & leq(n7, n7) & leq(pv5, n588) & leq(pv5, minus(n1000, n1)))))) & ((~gt(pv5, n0)) | (leq(n0, n0) & leq(n0, n1) & leq(n0, n2) & leq(n0, n3) & leq(n0, pv5) & leq(n0, minus(n4, n1)) & leq(n1, minus(n4, n1)) & leq(n2, minus(n4, n1)) & leq(n3, minus(n4, n1)) & leq(pv5, minus(n1000, n1)) & (gt(pv5, n0) | (leq(n0, n0) & leq(n0, n1) & leq(n0, n2) & leq(n0, n3) & leq(n0, n4) & leq(n0, n5) & leq(n0, n6) & leq(n0, n7) & leq(n0, pv5) & leq(n0, minus(n6, n1)) & leq(n1, n7) & leq(n1, minus(n6, n1)) & leq(n2, n7) & leq(n2, minus(n6, n1)) & leq(n3, n7) & leq(n3, minus(n6, n1)) & leq(n4, n7) & leq(n4, minus(n6, n1)) & leq(n5, n7) & leq(n5, minus(n6, n1)) & leq(n6, n7) & leq(n7, n7) & leq(pv5, n588) & leq(pv5, minus(n1000, n1)))) & ((~gt(pv5, n0)) | (leq(n0, n0) & leq(n0, n1) & leq(n0, n2) & leq(n0, n3) & leq(n0, n4) & leq(n0, n5) & leq(n0, n6) & leq(n0, n7) & leq(n0, pv5) & leq(n0, minus(n4, n1)) & leq(n0, minus(n6, n1)) & leq(n1, n7) & leq(n1, minus(n4, n1)) & leq(n1, minus(n6, n1)) & leq(n2, n7) & leq(n2, minus(n4, n1)) & leq(n2, minus(n6, n1)) & leq(n3, n7) & leq(n3, minus(n4, n1)) & leq(n3, minus(n6, n1)) & leq(n4, n7) & leq(n4, minus(n6, n1)) & leq(n5, n7) & leq(n5, minus(n6, n1)) & leq(n6, n7) & leq(n7, n7) & leq(pv5, n588) & leq(pv5, minus(n1000, n1)))))))) & ((~gt(pv5, n0)) | (leq(n0, n0) & leq(n0, n1) & leq(n0, n2) & leq(n0, n3) & leq(n0, n4) & leq(n0, n5) & leq(n0, n6) & leq(n0, n7) & leq(n0, pv5) & leq(n0, minus(n6, n1)) & leq(n1, n7) & leq(n2, n7) & leq(n3, n7) & leq(n3, minus(n6, n1)) & leq(n4, n7) & leq(n5, n7) & leq(n6, n7) & leq(n7, n7) & leq(pv5, minus(n1000, n1)) & (gt(pv5, n0) | ((gt(pv5, n0) | (leq(n0, n0) & leq(n0, n1) & leq(n0, n2) & leq(n0, n3) & leq(n0, n4) & leq(n0, n5) & leq(n0, n6) & leq(n0, n7) & leq(n0, pv5) & leq(n0, minus(n6, n1)) & leq(n1, n7) & leq(n1, minus(n6, n1)) & leq(n2, n7) & leq(n2, minus(n6, n1)) & leq(n3, n7) & leq(n3, minus(n6, n1)) & leq(n4, n7) & leq(n4, minus(n6, n1)) & leq(n5, n7) & leq(n5, minus(n6, n1)) & leq(n6, n7) & leq(n7, n7) & leq(pv5, n588) & leq(pv5, minus(n1000, n1)))) & ((~gt(pv5, n0)) | (leq(n0, n0) & leq(n0, n1) & leq(n0, n2) & leq(n0, n3) & leq(n0, n4) & leq(n0, n5) & leq(n0, n6) & leq(n0, n7) & leq(n0, pv5) & leq(n0, minus(n4, n1)) & leq(n0, minus(n6, n1)) & leq(n1, n7) & leq(n1, minus(n4, n1)) & leq(n1, minus(n6, n1)) & leq(n2, n7) & leq(n2, minus(n4, n1)) & leq(n2, minus(n6, n1)) & leq(n3, n7) & leq(n3, minus(n4, n1)) & leq(n3, minus(n6, n1)) & leq(n4, n7) & leq(n4, minus(n6, n1)) & leq(n5, n7) & leq(n5, minus(n6, n1)) & leq(n6, n7) & leq(n7, n7) & leq(pv5, n588) & leq(pv5, minus(n1000, n1)))))) & ((~gt(pv5, n0)) | (leq(n0, n0) & leq(n0, n1) & leq(n0, n2) & leq(n0, n3) & leq(n0, pv5) & leq(n0, minus(n4, n1)) & leq(n1, minus(n4, n1)) & leq(n2, minus(n4, n1)) & leq(n3, minus(n4, n1)) & leq(pv5, minus(n1000, n1)) & (gt(pv5, n0) | (leq(n0, n0) & leq(n0, n1) & leq(n0, n2) & leq(n0, n3) & leq(n0, n4) & leq(n0, n5) & leq(n0, n6) & leq(n0, n7) & leq(n0, pv5) & leq(n0, minus(n6, n1)) & leq(n1, n7) & leq(n1, minus(n6, n1)) & leq(n2, n7) & leq(n2, minus(n6, n1)) & leq(n3, n7) & leq(n3, minus(n6, n1)) & leq(n4, n7) & leq(n4, minus(n6, n1)) & leq(n5, n7) & leq(n5, minus(n6, n1)) & leq(n6, n7) & leq(n7, n7) & leq(pv5, n588) & leq(pv5, minus(n1000, n1)))) & ((~gt(pv5, n0)) | (leq(n0, n0) & leq(n0, n1) & leq(n0, n2) & leq(n0, n3) & leq(n0, n4) & leq(n0, n5) & leq(n0, n6) & leq(n0, n7) & leq(n0, pv5) & leq(n0, minus(n4, n1)) & leq(n0, minus(n6, n1)) & leq(n1, n7) & leq(n1, minus(n4, n1)) & leq(n1, minus(n6, n1)) & leq(n2, n7) & leq(n2, minus(n4, n1)) & leq(n2, minus(n6, n1)) & leq(n3, n7) & leq(n3, minus(n4, n1)) & leq(n3, minus(n6, n1)) & leq(n4, n7) & leq(n4, minus(n6, n1)) & leq(n5, n7) & leq(n5, minus(n6, n1)) & leq(n6, n7) & leq(n7, n7) & leq(pv5, n588) & leq(pv5, minus(n1000, n1)))))))))) & ((~gt(pv5, n0)) | (leq(n0, n0) & leq(n0, n1) & leq(n0, n2) & leq(n0, n3) & leq(n0, n4) & leq(n0, n5) & leq(n0, n6) & leq(n0, n7) & leq(n0, pv5) & leq(n0, minus(n6, n1)) & leq(n1, n7) & leq(n1, minus(n6, n1)) & leq(n2, n7) & leq(n2, minus(n6, n1)) & leq(n3, n7) & leq(n4, n7) & leq(n4, minus(n6, n1)) & leq(n5, n7) & leq(n5, minus(n6, n1)) & leq(n6, n7) & leq(n7, n7) & leq(pv5, minus(n1000, n1)) & (gt(pv5, n0) | ((gt(pv5, n0) | ((gt(pv5, n0) | (leq(n0, n0) & leq(n0, n1) & leq(n0, n2) & leq(n0, n3) & leq(n0, n4) & leq(n0, n5) & leq(n0, n6) & leq(n0, n7) & leq(n0, pv5) & leq(n0, minus(n6, n1)) & leq(n1, n7) & leq(n1, minus(n6, n1)) & leq(n2, n7) & leq(n2, minus(n6, n1)) & leq(n3, n7) & leq(n3, minus(n6, n1)) & leq(n4, n7) & leq(n4, minus(n6, n1)) & leq(n5, n7) & leq(n5, minus(n6, n1)) & leq(n6, n7) & leq(n7, n7) & leq(pv5, n588) & leq(pv5, minus(n1000, n1)))) & ((~gt(pv5, n0)) | (leq(n0, n0) & leq(n0, n1) & leq(n0, n2) & leq(n0, n3) & leq(n0, n4) & leq(n0, n5) & leq(n0, n6) & leq(n0, n7) & leq(n0, pv5) & leq(n0, minus(n4, n1)) & leq(n0, minus(n6, n1)) & leq(n1, n7) & leq(n1, minus(n4, n1)) & leq(n1, minus(n6, n1)) & leq(n2, n7) & leq(n2, minus(n4, n1)) & leq(n2, minus(n6, n1)) & leq(n3, n7) & leq(n3, minus(n4, n1)) & leq(n3, minus(n6, n1)) & leq(n4, n7) & leq(n4, minus(n6, n1)) & leq(n5, n7) & leq(n5, minus(n6, n1)) & leq(n6, n7) & leq(n7, n7) & leq(pv5, n588) & leq(pv5, minus(n1000, n1)))))) & ((~gt(pv5, n0)) | (leq(n0, n0) & leq(n0, n1) & leq(n0, n2) & leq(n0, n3) & leq(n0, pv5) & leq(n0, minus(n4, n1)) & leq(n1, minus(n4, n1)) & leq(n2, minus(n4, n1)) & leq(n3, minus(n4, n1)) & leq(pv5, minus(n1000, n1)) & (gt(pv5, n0) | (leq(n0, n0) & leq(n0, n1) & leq(n0, n2) & leq(n0, n3) & leq(n0, n4) & leq(n0, n5) & leq(n0, n6) & leq(n0, n7) & leq(n0, pv5) & leq(n0, minus(n6, n1)) & leq(n1, n7) & leq(n1, minus(n6, n1)) & leq(n2, n7) & leq(n2, minus(n6, n1)) & leq(n3, n7) & leq(n3, minus(n6, n1)) & leq(n4, n7) & leq(n4, minus(n6, n1)) & leq(n5, n7) & leq(n5, minus(n6, n1)) & leq(n6, n7) & leq(n7, n7) & leq(pv5, n588) & leq(pv5, minus(n1000, n1)))) & ((~gt(pv5, n0)) | (leq(n0, n0) & leq(n0, n1) & leq(n0, n2) & leq(n0, n3) & leq(n0, n4) & leq(n0, n5) & leq(n0, n6) & leq(n0, n7) & leq(n0, pv5) & leq(n0, minus(n4, n1)) & leq(n0, minus(n6, n1)) & leq(n1, n7) & leq(n1, minus(n4, n1)) & leq(n1, minus(n6, n1)) & leq(n2, n7) & leq(n2, minus(n4, n1)) & leq(n2, minus(n6, n1)) & leq(n3, n7) & leq(n3, minus(n4, n1)) & leq(n3, minus(n6, n1)) & leq(n4, n7) & leq(n4, minus(n6, n1)) & leq(n5, n7) & leq(n5, minus(n6, n1)) & leq(n6, n7) & leq(n7, n7) & leq(pv5, n588) & leq(pv5, minus(n1000, n1)))))))) & ((~gt(pv5, n0)) | (leq(n0, n0) & leq(n0, n1) & leq(n0, n2) & leq(n0, n3) & leq(n0, n4) & leq(n0, n5) & leq(n0, n6) & leq(n0, n7) & leq(n0, pv5) & leq(n0, minus(n6, n1)) & leq(n1, n7) & leq(n2, n7) & leq(n3, n7) & leq(n3, minus(n6, n1)) & leq(n4, n7) & leq(n5, n7) & leq(n6, n7) & leq(n7, n7) & leq(pv5, minus(n1000, n1)) & (gt(pv5, n0) | ((gt(pv5, n0) | (leq(n0, n0) & leq(n0, n1) & leq(n0, n2) & leq(n0, n3) & leq(n0, n4) & leq(n0, n5) & leq(n0, n6) & leq(n0, n7) & leq(n0, pv5) & leq(n0, minus(n6, n1)) & leq(n1, n7) & leq(n1, minus(n6, n1)) & leq(n2, n7) & leq(n2, minus(n6, n1)) & leq(n3, n7) & leq(n3, minus(n6, n1)) & leq(n4, n7) & leq(n4, minus(n6, n1)) & leq(n5, n7) & leq(n5, minus(n6, n1)) & leq(n6, n7) & leq(n7, n7) & leq(pv5, n588) & leq(pv5, minus(n1000, n1)))) & ((~gt(pv5, n0)) | (leq(n0, n0) & leq(n0, n1) & leq(n0, n2) & leq(n0, n3) & leq(n0, n4) & leq(n0, n5) & leq(n0, n6) & leq(n0, n7) & leq(n0, pv5) & leq(n0, minus(n4, n1)) & leq(n0, minus(n6, n1)) & leq(n1, n7) & leq(n1, minus(n4, n1)) & leq(n1, minus(n6, n1)) & leq(n2, n7) & leq(n2, minus(n4, n1)) & leq(n2, minus(n6, n1)) & leq(n3, n7) & leq(n3, minus(n4, n1)) & leq(n3, minus(n6, n1)) & leq(n4, n7) & leq(n4, minus(n6, n1)) & leq(n5, n7) & leq(n5, minus(n6, n1)) & leq(n6, n7) & leq(n7, n7) & leq(pv5, n588) & leq(pv5, minus(n1000, n1)))))) & ((~gt(pv5, n0)) | (leq(n0, n0) & leq(n0, n1) & leq(n0, n2) & leq(n0, n3) & leq(n0, pv5) & leq(n0, minus(n4, n1)) & leq(n1, minus(n4, n1)) & leq(n2, minus(n4, n1)) & leq(n3, minus(n4, n1)) & leq(pv5, minus(n1000, n1)) & (gt(pv5, n0) | (leq(n0, n0) & leq(n0, n1) & leq(n0, n2) & leq(n0, n3) & leq(n0, n4) & leq(n0, n5) & leq(n0, n6) & leq(n0, n7) & leq(n0, pv5) & leq(n0, minus(n6, n1)) & leq(n1, n7) & leq(n1, minus(n6, n1)) & leq(n2, n7) & leq(n2, minus(n6, n1)) & leq(n3, n7) & leq(n3, minus(n6, n1)) & leq(n4, n7) & leq(n4, minus(n6, n1)) & leq(n5, n7) & leq(n5, minus(n6, n1)) & leq(n6, n7) & leq(n7, n7) & leq(pv5, n588) & leq(pv5, minus(n1000, n1)))) & ((~gt(pv5, n0)) | (leq(n0, n0) & leq(n0, n1) & leq(n0, n2) & leq(n0, n3) & leq(n0, n4) & leq(n0, n5) & leq(n0, n6) & leq(n0, n7) & leq(n0, pv5) & leq(n0, minus(n4, n1)) & leq(n0, minus(n6, n1)) & leq(n1, n7) & leq(n1, minus(n4, n1)) & leq(n1, minus(n6, n1)) & leq(n2, n7) & leq(n2, minus(n4, n1)) & leq(n2, minus(n6, n1)) & leq(n3, n7) & leq(n3, minus(n4, n1)) & leq(n3, minus(n6, n1)) & leq(n4, n7) & leq(n4, minus(n6, n1)) & leq(n5, n7) & leq(n5, minus(n6, n1)) & leq(n6, n7) & leq(n7, n7) & leq(pv5, n588) & leq(pv5, minus(n1000, n1)))))))))))) & (true | (~leq(n0, a_select2(sigma, pv23))) | (~(leq(n0, pv23) & leq(pv23, minus(n6, n1))))) & (true | (~(geq(minus(n4, n1), n0) & geq(minus(n1000, n1), n0))) | (~geq(minus(n6, n1), n0)))) <=> (((~true) | (leq(n0, n0) & leq(n0, n1) & leq(n0, n2) & leq(n0, n3) & leq(n0, n4) & leq(n0, n5) & leq(n0, n6) & leq(n0, n7) & leq(n0, minus(n4, n1)) & leq(n0, minus(n6, n1)) & leq(n0, minus(n1000, n1)) & leq(n1, n7) & leq(n1, minus(n4, n1)) & leq(n1, minus(n6, n1)) & leq(n2, n7) & leq(n2, minus(n4, n1)) & leq(n2, minus(n6, n1)) & leq(n3, n7) & leq(n3, minus(n4, n1)) & leq(n3, minus(n6, n1)) & leq(n4, n7) & leq(n4, minus(n6, n1)) & leq(n5, n7) & leq(n5, minus(n6, n1)) & leq(n6, n7) & leq(n7, n7))) & ((~(leq(n0, pv5) & leq(n0, pv21) & leq(pv5, n588) & leq(pv21, minus(n6, n1)))) | (leq(n0, n0) & leq(n0, pv5) & leq(n0, pv21) & leq(pv5, n588) & leq(pv21, n5) & leq(pv21, minus(n6, n1)))) & ((~(leq(n0, pv5) & leq(n0, pv31) & leq(n0, pv32) & leq(pv5, n588) & leq(pv31, minus(n6, n1)) & leq(pv32, minus(n6, n1)))) | (((pv31 = pv32) | (leq(n0, pv5) & leq(n0, pv31) & leq(n0, pv32) & leq(pv5, n588) & leq(pv31, minus(n6, n1)) & leq(pv32, minus(n6, n1)))) & ((~(pv31 = pv32)) | (leq(n0, pv5) & leq(n0, pv31) & leq(n0, pv32) & leq(pv5, n588) & leq(pv31, minus(n6, n1)) & leq(pv32, minus(n6, n1)))))) & ((~(leq(n0, pv5) & leq(n0, pv31) & leq(pv5, n588) & leq(pv31, minus(n6, n1)))) | (leq(n0, pv5) & leq(pv5, n588))) & (true | (~(leq(n0, pv5) & leq(pv5, n588)))) & ((~(leq(n0, pv5) & leq(pv5, n588))) | (leq(n0, n0) & leq(n0, n1) & leq(n0, n2) & leq(n0, n3) & leq(n0, pv5) & leq(n0, minus(n4, n1)) & leq(n0, minus(n6, n1)) & leq(n1, minus(n4, n1)) & leq(n1, minus(n6, n1)) & leq(n2, minus(n4, n1)) & leq(n2, minus(n6, n1)) & leq(n3, minus(n4, n1)) & leq(pv5, minus(n1000, n1)) & (gt(pv5, n0) | ((gt(pv5, n0) | ((gt(pv5, n0) | ((gt(pv5, n0) | (leq(n0, n0) & leq(n0, n1) & leq(n0, n2) & leq(n0, n3) & leq(n0, n4) & leq(n0, n5) & leq(n0, n6) & leq(n0, n7) & leq(n0, pv5) & leq(n0, minus(n6, n1)) & leq(n1, n7) & leq(n1, minus(n6, n1)) & leq(n2, n7) & leq(n2, minus(n6, n1)) & leq(n3, n7) & leq(n3, minus(n6, n1)) & leq(n4, n7) & leq(n4, minus(n6, n1)) & leq(n5, n7) & leq(n5, minus(n6, n1)) & leq(n6, n7) & leq(n7, n7) & leq(pv5, n588) & leq(pv5, minus(n1000, n1)))) & ((~gt(pv5, n0)) | (leq(n0, n0) & leq(n0, n1) & leq(n0, n2) & leq(n0, n3) & leq(n0, n4) & leq(n0, n5) & leq(n0, n6) & leq(n0, n7) & leq(n0, pv5) & leq(n0, minus(n4, n1)) & leq(n0, minus(n6, n1)) & leq(n1, n7) & leq(n1, minus(n4, n1)) & leq(n1, minus(n6, n1)) & leq(n2, n7) & leq(n2, minus(n4, n1)) & leq(n2, minus(n6, n1)) & leq(n3, n7) & leq(n3, minus(n4, n1)) & leq(n3, minus(n6, n1)) & leq(n4, n7) & leq(n4, minus(n6, n1)) & leq(n5, n7) & leq(n5, minus(n6, n1)) & leq(n6, n7) & leq(n7, n7) & leq(pv5, n588) & leq(pv5, minus(n1000, n1)))))) & ((~gt(pv5, n0)) | (leq(n0, n0) & leq(n0, n1) & leq(n0, n2) & leq(n0, n3) & leq(n0, pv5) & leq(n0, minus(n4, n1)) & leq(n1, minus(n4, n1)) & leq(n2, minus(n4, n1)) & leq(n3, minus(n4, n1)) & leq(pv5, minus(n1000, n1)) & (gt(pv5, n0) | (leq(n0, n0) & leq(n0, n1) & leq(n0, n2) & leq(n0, n3) & leq(n0, n4) & leq(n0, n5) & leq(n0, n6) & leq(n0, n7) & leq(n0, pv5) & leq(n0, minus(n6, n1)) & leq(n1, n7) & leq(n1, minus(n6, n1)) & leq(n2, n7) & leq(n2, minus(n6, n1)) & leq(n3, n7) & leq(n3, minus(n6, n1)) & leq(n4, n7) & leq(n4, minus(n6, n1)) & leq(n5, n7) & leq(n5, minus(n6, n1)) & leq(n6, n7) & leq(n7, n7) & leq(pv5, n588) & leq(pv5, minus(n1000, n1)))) & ((~gt(pv5, n0)) | (leq(n0, n0) & leq(n0, n1) & leq(n0, n2) & leq(n0, n3) & leq(n0, n4) & leq(n0, n5) & leq(n0, n6) & leq(n0, n7) & leq(n0, pv5) & leq(n0, minus(n4, n1)) & leq(n0, minus(n6, n1)) & leq(n1, n7) & leq(n1, minus(n4, n1)) & leq(n1, minus(n6, n1)) & leq(n2, n7) & leq(n2, minus(n4, n1)) & leq(n2, minus(n6, n1)) & leq(n3, n7) & leq(n3, minus(n4, n1)) & leq(n3, minus(n6, n1)) & leq(n4, n7) & leq(n4, minus(n6, n1)) & leq(n5, n7) & leq(n5, minus(n6, n1)) & leq(n6, n7) & leq(n7, n7) & leq(pv5, n588) & leq(pv5, minus(n1000, n1)))))))) & ((~gt(pv5, n0)) | (leq(n0, n0) & leq(n0, n1) & leq(n0, n2) & leq(n0, n3) & leq(n0, n4) & leq(n0, n5) & leq(n0, n6) & leq(n0, n7) & leq(n0, pv5) & leq(n0, minus(n6, n1)) & leq(n1, n7) & leq(n2, n7) & leq(n3, n7) & leq(n3, minus(n6, n1)) & leq(n4, n7) & leq(n5, n7) & leq(n6, n7) & leq(n7, n7) & leq(pv5, minus(n1000, n1)) & (gt(pv5, n0) | ((gt(pv5, n0) | (leq(n0, n0) & leq(n0, n1) & leq(n0, n2) & leq(n0, n3) & leq(n0, n4) & leq(n0, n5) & leq(n0, n6) & leq(n0, n7) & leq(n0, pv5) & leq(n0, minus(n6, n1)) & leq(n1, n7) & leq(n1, minus(n6, n1)) & leq(n2, n7) & leq(n2, minus(n6, n1)) & leq(n3, n7) & leq(n3, minus(n6, n1)) & leq(n4, n7) & leq(n4, minus(n6, n1)) & leq(n5, n7) & leq(n5, minus(n6, n1)) & leq(n6, n7) & leq(n7, n7) & leq(pv5, n588) & leq(pv5, minus(n1000, n1)))) & ((~gt(pv5, n0)) | (leq(n0, n0) & leq(n0, n1) & leq(n0, n2) & leq(n0, n3) & leq(n0, n4) & leq(n0, n5) & leq(n0, n6) & leq(n0, n7) & leq(n0, pv5) & leq(n0, minus(n4, n1)) & leq(n0, minus(n6, n1)) & leq(n1, n7) & leq(n1, minus(n4, n1)) & leq(n1, minus(n6, n1)) & leq(n2, n7) & leq(n2, minus(n4, n1)) & leq(n2, minus(n6, n1)) & leq(n3, n7) & leq(n3, minus(n4, n1)) & leq(n3, minus(n6, n1)) & leq(n4, n7) & leq(n4, minus(n6, n1)) & leq(n5, n7) & leq(n5, minus(n6, n1)) & leq(n6, n7) & leq(n7, n7) & leq(pv5, n588) & leq(pv5, minus(n1000, n1)))))) & ((~gt(pv5, n0)) | (leq(n0, n0) & leq(n0, n1) & leq(n0, n2) & leq(n0, n3) & leq(n0, pv5) & leq(n0, minus(n4, n1)) & leq(n1, minus(n4, n1)) & leq(n2, minus(n4, n1)) & leq(n3, minus(n4, n1)) & leq(pv5, minus(n1000, n1)) & (gt(pv5, n0) | (leq(n0, n0) & leq(n0, n1) & leq(n0, n2) & leq(n0, n3) & leq(n0, n4) & leq(n0, n5) & leq(n0, n6) & leq(n0, n7) & leq(n0, pv5) & leq(n0, minus(n6, n1)) & leq(n1, n7) & leq(n1, minus(n6, n1)) & leq(n2, n7) & leq(n2, minus(n6, n1)) & leq(n3, n7) & leq(n3, minus(n6, n1)) & leq(n4, n7) & leq(n4, minus(n6, n1)) & leq(n5, n7) & leq(n5, minus(n6, n1)) & leq(n6, n7) & leq(n7, n7) & leq(pv5, n588) & leq(pv5, minus(n1000, n1)))) & ((~gt(pv5, n0)) | (leq(n0, n0) & leq(n0, n1) & leq(n0, n2) & leq(n0, n3) & leq(n0, n4) & leq(n0, n5) & leq(n0, n6) & leq(n0, n7) & leq(n0, pv5) & leq(n0, minus(n4, n1)) & leq(n0, minus(n6, n1)) & leq(n1, n7) & leq(n1, minus(n4, n1)) & leq(n1, minus(n6, n1)) & leq(n2, n7) & leq(n2, minus(n4, n1)) & leq(n2, minus(n6, n1)) & leq(n3, n7) & leq(n3, minus(n4, n1)) & leq(n3, minus(n6, n1)) & leq(n4, n7) & leq(n4, minus(n6, n1)) & leq(n5, n7) & leq(n5, minus(n6, n1)) & leq(n6, n7) & leq(n7, n7) & leq(pv5, n588) & leq(pv5, minus(n1000, n1)))))))))) & ((~gt(pv5, n0)) | (leq(n0, n0) & leq(n0, n1) & leq(n0, n2) & leq(n0, n3) & leq(n0, n4) & leq(n0, n5) & leq(n0, n6) & leq(n0, n7) & leq(n0, pv5) & leq(n0, minus(n6, n1)) & leq(n1, n7) & leq(n1, minus(n6, n1)) & leq(n2, n7) & leq(n2, minus(n6, n1)) & leq(n3, n7) & leq(n4, n7) & leq(n4, minus(n6, n1)) & leq(n5, n7) & leq(n5, minus(n6, n1)) & leq(n6, n7) & leq(n7, n7) & leq(pv5, minus(n1000, n1)) & (gt(pv5, n0) | ((gt(pv5, n0) | ((gt(pv5, n0) | (leq(n0, n0) & leq(n0, n1) & leq(n0, n2) & leq(n0, n3) & leq(n0, n4) & leq(n0, n5) & leq(n0, n6) & leq(n0, n7) & leq(n0, pv5) & leq(n0, minus(n6, n1)) & leq(n1, n7) & leq(n1, minus(n6, n1)) & leq(n2, n7) & leq(n2, minus(n6, n1)) & leq(n3, n7) & leq(n3, minus(n6, n1)) & leq(n4, n7) & leq(n4, minus(n6, n1)) & leq(n5, n7) & leq(n5, minus(n6, n1)) & leq(n6, n7) & leq(n7, n7) & leq(pv5, n588) & leq(pv5, minus(n1000, n1)))) & ((~gt(pv5, n0)) | (leq(n0, n0) & leq(n0, n1) & leq(n0, n2) & leq(n0, n3) & leq(n0, n4) & leq(n0, n5) & leq(n0, n6) & leq(n0, n7) & leq(n0, pv5) & leq(n0, minus(n4, n1)) & leq(n0, minus(n6, n1)) & leq(n1, n7) & leq(n1, minus(n4, n1)) & leq(n1, minus(n6, n1)) & leq(n2, n7) & leq(n2, minus(n4, n1)) & leq(n2, minus(n6, n1)) & leq(n3, n7) & leq(n3, minus(n4, n1)) & leq(n3, minus(n6, n1)) & leq(n4, n7) & leq(n4, minus(n6, n1)) & leq(n5, n7) & leq(n5, minus(n6, n1)) & leq(n6, n7) & leq(n7, n7) & leq(pv5, n588) & leq(pv5, minus(n1000, n1)))))) & ((~gt(pv5, n0)) | (leq(n0, n0) & leq(n0, n1) & leq(n0, n2) & leq(n0, n3) & leq(n0, pv5) & leq(n0, minus(n4, n1)) & leq(n1, minus(n4, n1)) & leq(n2, minus(n4, n1)) & leq(n3, minus(n4, n1)) & leq(pv5, minus(n1000, n1)) & (gt(pv5, n0) | (leq(n0, n0) & leq(n0, n1) & leq(n0, n2) & leq(n0, n3) & leq(n0, n4) & leq(n0, n5) & leq(n0, n6) & leq(n0, n7) & leq(n0, pv5) & leq(n0, minus(n6, n1)) & leq(n1, n7) & leq(n1, minus(n6, n1)) & leq(n2, n7) & leq(n2, minus(n6, n1)) & leq(n3, n7) & leq(n3, minus(n6, n1)) & leq(n4, n7) & leq(n4, minus(n6, n1)) & leq(n5, n7) & leq(n5, minus(n6, n1)) & leq(n6, n7) & leq(n7, n7) & leq(pv5, n588) & leq(pv5, minus(n1000, n1)))) & ((~gt(pv5, n0)) | (leq(n0, n0) & leq(n0, n1) & leq(n0, n2) & leq(n0, n3) & leq(n0, n4) & leq(n0, n5) & leq(n0, n6) & leq(n0, n7) & leq(n0, pv5) & leq(n0, minus(n4, n1)) & leq(n0, minus(n6, n1)) & leq(n1, n7) & leq(n1, minus(n4, n1)) & leq(n1, minus(n6, n1)) & leq(n2, n7) & leq(n2, minus(n4, n1)) & leq(n2, minus(n6, n1)) & leq(n3, n7) & leq(n3, minus(n4, n1)) & leq(n3, minus(n6, n1)) & leq(n4, n7) & leq(n4, minus(n6, n1)) & leq(n5, n7) & leq(n5, minus(n6, n1)) & leq(n6, n7) & leq(n7, n7) & leq(pv5, n588) & leq(pv5, minus(n1000, n1)))))))) & ((~gt(pv5, n0)) | (leq(n0, n0) & leq(n0, n1) & leq(n0, n2) & leq(n0, n3) & leq(n0, n4) & leq(n0, n5) & leq(n0, n6) & leq(n0, n7) & leq(n0, pv5) & leq(n0, minus(n6, n1)) & leq(n1, n7) & leq(n2, n7) & leq(n3, n7) & leq(n3, minus(n6, n1)) & leq(n4, n7) & leq(n5, n7) & leq(n6, n7) & leq(n7, n7) & leq(pv5, minus(n1000, n1)) & (gt(pv5, n0) | ((gt(pv5, n0) | (leq(n0, n0) & leq(n0, n1) & leq(n0, n2) & leq(n0, n3) & leq(n0, n4) & leq(n0, n5) & leq(n0, n6) & leq(n0, n7) & leq(n0, pv5) & leq(n0, minus(n6, n1)) & leq(n1, n7) & leq(n1, minus(n6, n1)) & leq(n2, n7) & leq(n2, minus(n6, n1)) & leq(n3, n7) & leq(n3, minus(n6, n1)) & leq(n4, n7) & leq(n4, minus(n6, n1)) & leq(n5, n7) & leq(n5, minus(n6, n1)) & leq(n6, n7) & leq(n7, n7) & leq(pv5, n588) & leq(pv5, minus(n1000, n1)))) & ((~gt(pv5, n0)) | (leq(n0, n0) & leq(n0, n1) & leq(n0, n2) & leq(n0, n3) & leq(n0, n4) & leq(n0, n5) & leq(n0, n6) & leq(n0, n7) & leq(n0, pv5) & leq(n0, minus(n4, n1)) & leq(n0, minus(n6, n1)) & leq(n1, n7) & leq(n1, minus(n4, n1)) & leq(n1, minus(n6, n1)) & leq(n2, n7) & leq(n2, minus(n4, n1)) & leq(n2, minus(n6, n1)) & leq(n3, n7) & leq(n3, minus(n4, n1)) & leq(n3, minus(n6, n1)) & leq(n4, n7) & leq(n4, minus(n6, n1)) & leq(n5, n7) & leq(n5, minus(n6, n1)) & leq(n6, n7) & leq(n7, n7) & leq(pv5, n588) & leq(pv5, minus(n1000, n1)))))) & ((~gt(pv5, n0)) | (leq(n0, n0) & leq(n0, n1) & leq(n0, n2) & leq(n0, n3) & leq(n0, pv5) & leq(n0, minus(n4, n1)) & leq(n1, minus(n4, n1)) & leq(n2, minus(n4, n1)) & leq(n3, minus(n4, n1)) & leq(pv5, minus(n1000, n1)) & (gt(pv5, n0) | (leq(n0, n0) & leq(n0, n1) & leq(n0, n2) & leq(n0, n3) & leq(n0, n4) & leq(n0, n5) & leq(n0, n6) & leq(n0, n7) & leq(n0, pv5) & leq(n0, minus(n6, n1)) & leq(n1, n7) & leq(n1, minus(n6, n1)) & leq(n2, n7) & leq(n2, minus(n6, n1)) & leq(n3, n7) & leq(n3, minus(n6, n1)) & leq(n4, n7) & leq(n4, minus(n6, n1)) & leq(n5, n7) & leq(n5, minus(n6, n1)) & leq(n6, n7) & leq(n7, n7) & leq(pv5, n588) & leq(pv5, minus(n1000, n1)))) & ((~gt(pv5, n0)) | (leq(n0, n0) & leq(n0, n1) & leq(n0, n2) & leq(n0, n3) & leq(n0, n4) & leq(n0, n5) & leq(n0, n6) & leq(n0, n7) & leq(n0, pv5) & leq(n0, minus(n4, n1)) & leq(n0, minus(n6, n1)) & leq(n1, n7) & leq(n1, minus(n4, n1)) & leq(n1, minus(n6, n1)) & leq(n2, n7) & leq(n2, minus(n4, n1)) & leq(n2, minus(n6, n1)) & leq(n3, n7) & leq(n3, minus(n4, n1)) & leq(n3, minus(n6, n1)) & leq(n4, n7) & leq(n4, minus(n6, n1)) & leq(n5, n7) & leq(n5, minus(n6, n1)) & leq(n6, n7) & leq(n7, n7) & leq(pv5, n588) & leq(pv5, minus(n1000, n1)))))))))))) & (true | (~leq(n0, a_select2(sigma, pv23))) | (~(leq(n0, pv23) & leq(pv23, minus(n6, n1))))) & (true | (~(geq(minus(n4, n1), n0) & geq(minus(n1000, n1), n0))) | (~geq(minus(n6, n1), n0))))),
% 0.64/0.73 inference(rewrite,[status(thm)],[])).
% 0.64/0.73 tff(407,plain,
% 0.64/0.73 ((~(((~true) | (leq(n0, n0) & leq(n0, n1) & leq(n0, n2) & leq(n0, n3) & leq(n0, n4) & leq(n0, n5) & leq(n0, n6) & leq(n0, n7) & leq(n0, minus(n4, n1)) & leq(n0, minus(n6, n1)) & leq(n0, minus(n1000, n1)) & leq(n1, n7) & leq(n1, minus(n4, n1)) & leq(n1, minus(n6, n1)) & leq(n2, n7) & leq(n2, minus(n4, n1)) & leq(n2, minus(n6, n1)) & leq(n3, n7) & leq(n3, minus(n4, n1)) & leq(n3, minus(n6, n1)) & leq(n4, n7) & leq(n4, minus(n6, n1)) & leq(n5, n7) & leq(n5, minus(n6, n1)) & leq(n6, n7) & leq(n7, n7))) & ((~(leq(n0, pv5) & leq(n0, pv21) & leq(pv5, n588) & leq(pv21, minus(n6, n1)))) | (leq(n0, n0) & leq(n0, pv5) & leq(n0, pv21) & leq(pv5, n588) & leq(pv21, n5) & leq(pv21, minus(n6, n1)))) & ((~(leq(n0, pv5) & leq(n0, pv31) & leq(n0, pv32) & leq(pv5, n588) & leq(pv31, minus(n6, n1)) & leq(pv32, minus(n6, n1)))) | (((pv31 = pv32) | (leq(n0, pv5) & leq(n0, pv31) & leq(n0, pv32) & leq(pv5, n588) & leq(pv31, minus(n6, n1)) & leq(pv32, minus(n6, n1)))) & ((~(pv31 = pv32)) | (leq(n0, pv5) & leq(n0, pv31) & leq(n0, pv32) & leq(pv5, n588) & leq(pv31, minus(n6, n1)) & leq(pv32, minus(n6, n1)))))) & ((~(leq(n0, pv5) & leq(n0, pv31) & leq(pv5, n588) & leq(pv31, minus(n6, n1)))) | (leq(n0, pv5) & leq(pv5, n588))) & (true | (~(leq(n0, pv5) & leq(pv5, n588)))) & ((~(leq(n0, pv5) & leq(pv5, n588))) | (leq(n0, n0) & leq(n0, n1) & leq(n0, n2) & leq(n0, n3) & leq(n0, pv5) & leq(n0, minus(n4, n1)) & leq(n0, minus(n6, n1)) & leq(n1, minus(n4, n1)) & leq(n1, minus(n6, n1)) & leq(n2, minus(n4, n1)) & leq(n2, minus(n6, n1)) & leq(n3, minus(n4, n1)) & leq(pv5, minus(n1000, n1)) & (gt(pv5, n0) | ((gt(pv5, n0) | ((gt(pv5, n0) | ((gt(pv5, n0) | (leq(n0, n0) & leq(n0, n1) & leq(n0, n2) & leq(n0, n3) & leq(n0, n4) & leq(n0, n5) & leq(n0, n6) & leq(n0, n7) & leq(n0, pv5) & leq(n0, minus(n6, n1)) & leq(n1, n7) & leq(n1, minus(n6, n1)) & leq(n2, n7) & leq(n2, minus(n6, n1)) & leq(n3, n7) & leq(n3, minus(n6, n1)) & leq(n4, n7) & leq(n4, minus(n6, n1)) & leq(n5, n7) & leq(n5, minus(n6, n1)) & leq(n6, n7) & leq(n7, n7) & leq(pv5, n588) & leq(pv5, minus(n1000, n1)))) & ((~gt(pv5, n0)) | (leq(n0, n0) & leq(n0, n1) & leq(n0, n2) & leq(n0, n3) & leq(n0, n4) & leq(n0, n5) & leq(n0, n6) & leq(n0, n7) & leq(n0, pv5) & leq(n0, minus(n4, n1)) & leq(n0, minus(n6, n1)) & leq(n1, n7) & leq(n1, minus(n4, n1)) & leq(n1, minus(n6, n1)) & leq(n2, n7) & leq(n2, minus(n4, n1)) & leq(n2, minus(n6, n1)) & leq(n3, n7) & leq(n3, minus(n4, n1)) & leq(n3, minus(n6, n1)) & leq(n4, n7) & leq(n4, minus(n6, n1)) & leq(n5, n7) & leq(n5, minus(n6, n1)) & leq(n6, n7) & leq(n7, n7) & leq(pv5, n588) & leq(pv5, minus(n1000, n1)))))) & ((~gt(pv5, n0)) | (leq(n0, n0) & leq(n0, n1) & leq(n0, n2) & leq(n0, n3) & leq(n0, pv5) & leq(n0, minus(n4, n1)) & leq(n1, minus(n4, n1)) & leq(n2, minus(n4, n1)) & leq(n3, minus(n4, n1)) & leq(pv5, minus(n1000, n1)) & (gt(pv5, n0) | (leq(n0, n0) & leq(n0, n1) & leq(n0, n2) & leq(n0, n3) & leq(n0, n4) & leq(n0, n5) & leq(n0, n6) & leq(n0, n7) & leq(n0, pv5) & leq(n0, minus(n6, n1)) & leq(n1, n7) & leq(n1, minus(n6, n1)) & leq(n2, n7) & leq(n2, minus(n6, n1)) & leq(n3, n7) & leq(n3, minus(n6, n1)) & leq(n4, n7) & leq(n4, minus(n6, n1)) & leq(n5, n7) & leq(n5, minus(n6, n1)) & leq(n6, n7) & leq(n7, n7) & leq(pv5, n588) & leq(pv5, minus(n1000, n1)))) & ((~gt(pv5, n0)) | (leq(n0, n0) & leq(n0, n1) & leq(n0, n2) & leq(n0, n3) & leq(n0, n4) & leq(n0, n5) & leq(n0, n6) & leq(n0, n7) & leq(n0, pv5) & leq(n0, minus(n4, n1)) & leq(n0, minus(n6, n1)) & leq(n1, n7) & leq(n1, minus(n4, n1)) & leq(n1, minus(n6, n1)) & leq(n2, n7) & leq(n2, minus(n4, n1)) & leq(n2, minus(n6, n1)) & leq(n3, n7) & leq(n3, minus(n4, n1)) & leq(n3, minus(n6, n1)) & leq(n4, n7) & leq(n4, minus(n6, n1)) & leq(n5, n7) & leq(n5, minus(n6, n1)) & leq(n6, n7) & leq(n7, n7) & leq(pv5, n588) & leq(pv5, minus(n1000, n1)))))))) & ((~gt(pv5, n0)) | (leq(n0, n0) & leq(n0, n1) & leq(n0, n2) & leq(n0, n3) & leq(n0, n4) & leq(n0, n5) & leq(n0, n6) & leq(n0, n7) & leq(n0, pv5) & leq(n0, minus(n6, n1)) & leq(n1, n7) & leq(n2, n7) & leq(n3, n7) & leq(n3, minus(n6, n1)) & leq(n4, n7) & leq(n5, n7) & leq(n6, n7) & leq(n7, n7) & leq(pv5, minus(n1000, n1)) & (gt(pv5, n0) | ((gt(pv5, n0) | (leq(n0, n0) & leq(n0, n1) & leq(n0, n2) & leq(n0, n3) & leq(n0, n4) & leq(n0, n5) & leq(n0, n6) & leq(n0, n7) & leq(n0, pv5) & leq(n0, minus(n6, n1)) & leq(n1, n7) & leq(n1, minus(n6, n1)) & leq(n2, n7) & leq(n2, minus(n6, n1)) & leq(n3, n7) & leq(n3, minus(n6, n1)) & leq(n4, n7) & leq(n4, minus(n6, n1)) & leq(n5, n7) & leq(n5, minus(n6, n1)) & leq(n6, n7) & leq(n7, n7) & leq(pv5, n588) & leq(pv5, minus(n1000, n1)))) & ((~gt(pv5, n0)) | (leq(n0, n0) & leq(n0, n1) & leq(n0, n2) & leq(n0, n3) & leq(n0, n4) & leq(n0, n5) & leq(n0, n6) & leq(n0, n7) & leq(n0, pv5) & leq(n0, minus(n4, n1)) & leq(n0, minus(n6, n1)) & leq(n1, n7) & leq(n1, minus(n4, n1)) & leq(n1, minus(n6, n1)) & leq(n2, n7) & leq(n2, minus(n4, n1)) & leq(n2, minus(n6, n1)) & leq(n3, n7) & leq(n3, minus(n4, n1)) & leq(n3, minus(n6, n1)) & leq(n4, n7) & leq(n4, minus(n6, n1)) & leq(n5, n7) & leq(n5, minus(n6, n1)) & leq(n6, n7) & leq(n7, n7) & leq(pv5, n588) & leq(pv5, minus(n1000, n1)))))) & ((~gt(pv5, n0)) | (leq(n0, n0) & leq(n0, n1) & leq(n0, n2) & leq(n0, n3) & leq(n0, pv5) & leq(n0, minus(n4, n1)) & leq(n1, minus(n4, n1)) & leq(n2, minus(n4, n1)) & leq(n3, minus(n4, n1)) & leq(pv5, minus(n1000, n1)) & (gt(pv5, n0) | (leq(n0, n0) & leq(n0, n1) & leq(n0, n2) & leq(n0, n3) & leq(n0, n4) & leq(n0, n5) & leq(n0, n6) & leq(n0, n7) & leq(n0, pv5) & leq(n0, minus(n6, n1)) & leq(n1, n7) & leq(n1, minus(n6, n1)) & leq(n2, n7) & leq(n2, minus(n6, n1)) & leq(n3, n7) & leq(n3, minus(n6, n1)) & leq(n4, n7) & leq(n4, minus(n6, n1)) & leq(n5, n7) & leq(n5, minus(n6, n1)) & leq(n6, n7) & leq(n7, n7) & leq(pv5, n588) & leq(pv5, minus(n1000, n1)))) & ((~gt(pv5, n0)) | (leq(n0, n0) & leq(n0, n1) & leq(n0, n2) & leq(n0, n3) & leq(n0, n4) & leq(n0, n5) & leq(n0, n6) & leq(n0, n7) & leq(n0, pv5) & leq(n0, minus(n4, n1)) & leq(n0, minus(n6, n1)) & leq(n1, n7) & leq(n1, minus(n4, n1)) & leq(n1, minus(n6, n1)) & leq(n2, n7) & leq(n2, minus(n4, n1)) & leq(n2, minus(n6, n1)) & leq(n3, n7) & leq(n3, minus(n4, n1)) & leq(n3, minus(n6, n1)) & leq(n4, n7) & leq(n4, minus(n6, n1)) & leq(n5, n7) & leq(n5, minus(n6, n1)) & leq(n6, n7) & leq(n7, n7) & leq(pv5, n588) & leq(pv5, minus(n1000, n1)))))))))) & ((~gt(pv5, n0)) | (leq(n0, n0) & leq(n0, n1) & leq(n0, n2) & leq(n0, n3) & leq(n0, n4) & leq(n0, n5) & leq(n0, n6) & leq(n0, n7) & leq(n0, pv5) & leq(n0, minus(n6, n1)) & leq(n1, n7) & leq(n1, minus(n6, n1)) & leq(n2, n7) & leq(n2, minus(n6, n1)) & leq(n3, n7) & leq(n4, n7) & leq(n4, minus(n6, n1)) & leq(n5, n7) & leq(n5, minus(n6, n1)) & leq(n6, n7) & leq(n7, n7) & leq(pv5, minus(n1000, n1)) & (gt(pv5, n0) | ((gt(pv5, n0) | ((gt(pv5, n0) | (leq(n0, n0) & leq(n0, n1) & leq(n0, n2) & leq(n0, n3) & leq(n0, n4) & leq(n0, n5) & leq(n0, n6) & leq(n0, n7) & leq(n0, pv5) & leq(n0, minus(n6, n1)) & leq(n1, n7) & leq(n1, minus(n6, n1)) & leq(n2, n7) & leq(n2, minus(n6, n1)) & leq(n3, n7) & leq(n3, minus(n6, n1)) & leq(n4, n7) & leq(n4, minus(n6, n1)) & leq(n5, n7) & leq(n5, minus(n6, n1)) & leq(n6, n7) & leq(n7, n7) & leq(pv5, n588) & leq(pv5, minus(n1000, n1)))) & ((~gt(pv5, n0)) | (leq(n0, n0) & leq(n0, n1) & leq(n0, n2) & leq(n0, n3) & leq(n0, n4) & leq(n0, n5) & leq(n0, n6) & leq(n0, n7) & leq(n0, pv5) & leq(n0, minus(n4, n1)) & leq(n0, minus(n6, n1)) & leq(n1, n7) & leq(n1, minus(n4, n1)) & leq(n1, minus(n6, n1)) & leq(n2, n7) & leq(n2, minus(n4, n1)) & leq(n2, minus(n6, n1)) & leq(n3, n7) & leq(n3, minus(n4, n1)) & leq(n3, minus(n6, n1)) & leq(n4, n7) & leq(n4, minus(n6, n1)) & leq(n5, n7) & leq(n5, minus(n6, n1)) & leq(n6, n7) & leq(n7, n7) & leq(pv5, n588) & leq(pv5, minus(n1000, n1)))))) & ((~gt(pv5, n0)) | (leq(n0, n0) & leq(n0, n1) & leq(n0, n2) & leq(n0, n3) & leq(n0, pv5) & leq(n0, minus(n4, n1)) & leq(n1, minus(n4, n1)) & leq(n2, minus(n4, n1)) & leq(n3, minus(n4, n1)) & leq(pv5, minus(n1000, n1)) & (gt(pv5, n0) | (leq(n0, n0) & leq(n0, n1) & leq(n0, n2) & leq(n0, n3) & leq(n0, n4) & leq(n0, n5) & leq(n0, n6) & leq(n0, n7) & leq(n0, pv5) & leq(n0, minus(n6, n1)) & leq(n1, n7) & leq(n1, minus(n6, n1)) & leq(n2, n7) & leq(n2, minus(n6, n1)) & leq(n3, n7) & leq(n3, minus(n6, n1)) & leq(n4, n7) & leq(n4, minus(n6, n1)) & leq(n5, n7) & leq(n5, minus(n6, n1)) & leq(n6, n7) & leq(n7, n7) & leq(pv5, n588) & leq(pv5, minus(n1000, n1)))) & ((~gt(pv5, n0)) | (leq(n0, n0) & leq(n0, n1) & leq(n0, n2) & leq(n0, n3) & leq(n0, n4) & leq(n0, n5) & leq(n0, n6) & leq(n0, n7) & leq(n0, pv5) & leq(n0, minus(n4, n1)) & leq(n0, minus(n6, n1)) & leq(n1, n7) & leq(n1, minus(n4, n1)) & leq(n1, minus(n6, n1)) & leq(n2, n7) & leq(n2, minus(n4, n1)) & leq(n2, minus(n6, n1)) & leq(n3, n7) & leq(n3, minus(n4, n1)) & leq(n3, minus(n6, n1)) & leq(n4, n7) & leq(n4, minus(n6, n1)) & leq(n5, n7) & leq(n5, minus(n6, n1)) & leq(n6, n7) & leq(n7, n7) & leq(pv5, n588) & leq(pv5, minus(n1000, n1)))))))) & ((~gt(pv5, n0)) | (leq(n0, n0) & leq(n0, n1) & leq(n0, n2) & leq(n0, n3) & leq(n0, n4) & leq(n0, n5) & leq(n0, n6) & leq(n0, n7) & leq(n0, pv5) & leq(n0, minus(n6, n1)) & leq(n1, n7) & leq(n2, n7) & leq(n3, n7) & leq(n3, minus(n6, n1)) & leq(n4, n7) & leq(n5, n7) & leq(n6, n7) & leq(n7, n7) & leq(pv5, minus(n1000, n1)) & (gt(pv5, n0) | ((gt(pv5, n0) | (leq(n0, n0) & leq(n0, n1) & leq(n0, n2) & leq(n0, n3) & leq(n0, n4) & leq(n0, n5) & leq(n0, n6) & leq(n0, n7) & leq(n0, pv5) & leq(n0, minus(n6, n1)) & leq(n1, n7) & leq(n1, minus(n6, n1)) & leq(n2, n7) & leq(n2, minus(n6, n1)) & leq(n3, n7) & leq(n3, minus(n6, n1)) & leq(n4, n7) & leq(n4, minus(n6, n1)) & leq(n5, n7) & leq(n5, minus(n6, n1)) & leq(n6, n7) & leq(n7, n7) & leq(pv5, n588) & leq(pv5, minus(n1000, n1)))) & ((~gt(pv5, n0)) | (leq(n0, n0) & leq(n0, n1) & leq(n0, n2) & leq(n0, n3) & leq(n0, n4) & leq(n0, n5) & leq(n0, n6) & leq(n0, n7) & leq(n0, pv5) & leq(n0, minus(n4, n1)) & leq(n0, minus(n6, n1)) & leq(n1, n7) & leq(n1, minus(n4, n1)) & leq(n1, minus(n6, n1)) & leq(n2, n7) & leq(n2, minus(n4, n1)) & leq(n2, minus(n6, n1)) & leq(n3, n7) & leq(n3, minus(n4, n1)) & leq(n3, minus(n6, n1)) & leq(n4, n7) & leq(n4, minus(n6, n1)) & leq(n5, n7) & leq(n5, minus(n6, n1)) & leq(n6, n7) & leq(n7, n7) & leq(pv5, n588) & leq(pv5, minus(n1000, n1)))))) & ((~gt(pv5, n0)) | (leq(n0, n0) & leq(n0, n1) & leq(n0, n2) & leq(n0, n3) & leq(n0, pv5) & leq(n0, minus(n4, n1)) & leq(n1, minus(n4, n1)) & leq(n2, minus(n4, n1)) & leq(n3, minus(n4, n1)) & leq(pv5, minus(n1000, n1)) & (gt(pv5, n0) | (leq(n0, n0) & leq(n0, n1) & leq(n0, n2) & leq(n0, n3) & leq(n0, n4) & leq(n0, n5) & leq(n0, n6) & leq(n0, n7) & leq(n0, pv5) & leq(n0, minus(n6, n1)) & leq(n1, n7) & leq(n1, minus(n6, n1)) & leq(n2, n7) & leq(n2, minus(n6, n1)) & leq(n3, n7) & leq(n3, minus(n6, n1)) & leq(n4, n7) & leq(n4, minus(n6, n1)) & leq(n5, n7) & leq(n5, minus(n6, n1)) & leq(n6, n7) & leq(n7, n7) & leq(pv5, n588) & leq(pv5, minus(n1000, n1)))) & ((~gt(pv5, n0)) | (leq(n0, n0) & leq(n0, n1) & leq(n0, n2) & leq(n0, n3) & leq(n0, n4) & leq(n0, n5) & leq(n0, n6) & leq(n0, n7) & leq(n0, pv5) & leq(n0, minus(n4, n1)) & leq(n0, minus(n6, n1)) & leq(n1, n7) & leq(n1, minus(n4, n1)) & leq(n1, minus(n6, n1)) & leq(n2, n7) & leq(n2, minus(n4, n1)) & leq(n2, minus(n6, n1)) & leq(n3, n7) & leq(n3, minus(n4, n1)) & leq(n3, minus(n6, n1)) & leq(n4, n7) & leq(n4, minus(n6, n1)) & leq(n5, n7) & leq(n5, minus(n6, n1)) & leq(n6, n7) & leq(n7, n7) & leq(pv5, n588) & leq(pv5, minus(n1000, n1)))))))))))) & (true | (~leq(n0, a_select2(sigma, pv23))) | (~(leq(n0, pv23) & leq(pv23, minus(n6, n1))))) & (true | (~(geq(minus(n4, n1), n0) & geq(minus(n1000, n1), n0))) | (~geq(minus(n6, n1), n0))))) <=> (~(((~true) | (leq(n0, n0) & leq(n0, n1) & leq(n0, n2) & leq(n0, n3) & leq(n0, n4) & leq(n0, n5) & leq(n0, n6) & leq(n0, n7) & leq(n0, minus(n4, n1)) & leq(n0, minus(n6, n1)) & leq(n0, minus(n1000, n1)) & leq(n1, n7) & leq(n1, minus(n4, n1)) & leq(n1, minus(n6, n1)) & leq(n2, n7) & leq(n2, minus(n4, n1)) & leq(n2, minus(n6, n1)) & leq(n3, n7) & leq(n3, minus(n4, n1)) & leq(n3, minus(n6, n1)) & leq(n4, n7) & leq(n4, minus(n6, n1)) & leq(n5, n7) & leq(n5, minus(n6, n1)) & leq(n6, n7) & leq(n7, n7))) & ((~(leq(n0, pv5) & leq(n0, pv21) & leq(pv5, n588) & leq(pv21, minus(n6, n1)))) | (leq(n0, n0) & leq(n0, pv5) & leq(n0, pv21) & leq(pv5, n588) & leq(pv21, n5) & leq(pv21, minus(n6, n1)))) & ((~(leq(n0, pv5) & leq(n0, pv31) & leq(n0, pv32) & leq(pv5, n588) & leq(pv31, minus(n6, n1)) & leq(pv32, minus(n6, n1)))) | (((pv31 = pv32) | (leq(n0, pv5) & leq(n0, pv31) & leq(n0, pv32) & leq(pv5, n588) & leq(pv31, minus(n6, n1)) & leq(pv32, minus(n6, n1)))) & ((~(pv31 = pv32)) | (leq(n0, pv5) & leq(n0, pv31) & leq(n0, pv32) & leq(pv5, n588) & leq(pv31, minus(n6, n1)) & leq(pv32, minus(n6, n1)))))) & ((~(leq(n0, pv5) & leq(n0, pv31) & leq(pv5, n588) & leq(pv31, minus(n6, n1)))) | (leq(n0, pv5) & leq(pv5, n588))) & (true | (~(leq(n0, pv5) & leq(pv5, n588)))) & ((~(leq(n0, pv5) & leq(pv5, n588))) | (leq(n0, n0) & leq(n0, n1) & leq(n0, n2) & leq(n0, n3) & leq(n0, pv5) & leq(n0, minus(n4, n1)) & leq(n0, minus(n6, n1)) & leq(n1, minus(n4, n1)) & leq(n1, minus(n6, n1)) & leq(n2, minus(n4, n1)) & leq(n2, minus(n6, n1)) & leq(n3, minus(n4, n1)) & leq(pv5, minus(n1000, n1)) & (gt(pv5, n0) | ((gt(pv5, n0) | ((gt(pv5, n0) | ((gt(pv5, n0) | (leq(n0, n0) & leq(n0, n1) & leq(n0, n2) & leq(n0, n3) & leq(n0, n4) & leq(n0, n5) & leq(n0, n6) & leq(n0, n7) & leq(n0, pv5) & leq(n0, minus(n6, n1)) & leq(n1, n7) & leq(n1, minus(n6, n1)) & leq(n2, n7) & leq(n2, minus(n6, n1)) & leq(n3, n7) & leq(n3, minus(n6, n1)) & leq(n4, n7) & leq(n4, minus(n6, n1)) & leq(n5, n7) & leq(n5, minus(n6, n1)) & leq(n6, n7) & leq(n7, n7) & leq(pv5, n588) & leq(pv5, minus(n1000, n1)))) & ((~gt(pv5, n0)) | (leq(n0, n0) & leq(n0, n1) & leq(n0, n2) & leq(n0, n3) & leq(n0, n4) & leq(n0, n5) & leq(n0, n6) & leq(n0, n7) & leq(n0, pv5) & leq(n0, minus(n4, n1)) & leq(n0, minus(n6, n1)) & leq(n1, n7) & leq(n1, minus(n4, n1)) & leq(n1, minus(n6, n1)) & leq(n2, n7) & leq(n2, minus(n4, n1)) & leq(n2, minus(n6, n1)) & leq(n3, n7) & leq(n3, minus(n4, n1)) & leq(n3, minus(n6, n1)) & leq(n4, n7) & leq(n4, minus(n6, n1)) & leq(n5, n7) & leq(n5, minus(n6, n1)) & leq(n6, n7) & leq(n7, n7) & leq(pv5, n588) & leq(pv5, minus(n1000, n1)))))) & ((~gt(pv5, n0)) | (leq(n0, n0) & leq(n0, n1) & leq(n0, n2) & leq(n0, n3) & leq(n0, pv5) & leq(n0, minus(n4, n1)) & leq(n1, minus(n4, n1)) & leq(n2, minus(n4, n1)) & leq(n3, minus(n4, n1)) & leq(pv5, minus(n1000, n1)) & (gt(pv5, n0) | (leq(n0, n0) & leq(n0, n1) & leq(n0, n2) & leq(n0, n3) & leq(n0, n4) & leq(n0, n5) & leq(n0, n6) & leq(n0, n7) & leq(n0, pv5) & leq(n0, minus(n6, n1)) & leq(n1, n7) & leq(n1, minus(n6, n1)) & leq(n2, n7) & leq(n2, minus(n6, n1)) & leq(n3, n7) & leq(n3, minus(n6, n1)) & leq(n4, n7) & leq(n4, minus(n6, n1)) & leq(n5, n7) & leq(n5, minus(n6, n1)) & leq(n6, n7) & leq(n7, n7) & leq(pv5, n588) & leq(pv5, minus(n1000, n1)))) & ((~gt(pv5, n0)) | (leq(n0, n0) & leq(n0, n1) & leq(n0, n2) & leq(n0, n3) & leq(n0, n4) & leq(n0, n5) & leq(n0, n6) & leq(n0, n7) & leq(n0, pv5) & leq(n0, minus(n4, n1)) & leq(n0, minus(n6, n1)) & leq(n1, n7) & leq(n1, minus(n4, n1)) & leq(n1, minus(n6, n1)) & leq(n2, n7) & leq(n2, minus(n4, n1)) & leq(n2, minus(n6, n1)) & leq(n3, n7) & leq(n3, minus(n4, n1)) & leq(n3, minus(n6, n1)) & leq(n4, n7) & leq(n4, minus(n6, n1)) & leq(n5, n7) & leq(n5, minus(n6, n1)) & leq(n6, n7) & leq(n7, n7) & leq(pv5, n588) & leq(pv5, minus(n1000, n1)))))))) & ((~gt(pv5, n0)) | (leq(n0, n0) & leq(n0, n1) & leq(n0, n2) & leq(n0, n3) & leq(n0, n4) & leq(n0, n5) & leq(n0, n6) & leq(n0, n7) & leq(n0, pv5) & leq(n0, minus(n6, n1)) & leq(n1, n7) & leq(n2, n7) & leq(n3, n7) & leq(n3, minus(n6, n1)) & leq(n4, n7) & leq(n5, n7) & leq(n6, n7) & leq(n7, n7) & leq(pv5, minus(n1000, n1)) & (gt(pv5, n0) | ((gt(pv5, n0) | (leq(n0, n0) & leq(n0, n1) & leq(n0, n2) & leq(n0, n3) & leq(n0, n4) & leq(n0, n5) & leq(n0, n6) & leq(n0, n7) & leq(n0, pv5) & leq(n0, minus(n6, n1)) & leq(n1, n7) & leq(n1, minus(n6, n1)) & leq(n2, n7) & leq(n2, minus(n6, n1)) & leq(n3, n7) & leq(n3, minus(n6, n1)) & leq(n4, n7) & leq(n4, minus(n6, n1)) & leq(n5, n7) & leq(n5, minus(n6, n1)) & leq(n6, n7) & leq(n7, n7) & leq(pv5, n588) & leq(pv5, minus(n1000, n1)))) & ((~gt(pv5, n0)) | (leq(n0, n0) & leq(n0, n1) & leq(n0, n2) & leq(n0, n3) & leq(n0, n4) & leq(n0, n5) & leq(n0, n6) & leq(n0, n7) & leq(n0, pv5) & leq(n0, minus(n4, n1)) & leq(n0, minus(n6, n1)) & leq(n1, n7) & leq(n1, minus(n4, n1)) & leq(n1, minus(n6, n1)) & leq(n2, n7) & leq(n2, minus(n4, n1)) & leq(n2, minus(n6, n1)) & leq(n3, n7) & leq(n3, minus(n4, n1)) & leq(n3, minus(n6, n1)) & leq(n4, n7) & leq(n4, minus(n6, n1)) & leq(n5, n7) & leq(n5, minus(n6, n1)) & leq(n6, n7) & leq(n7, n7) & leq(pv5, n588) & leq(pv5, minus(n1000, n1)))))) & ((~gt(pv5, n0)) | (leq(n0, n0) & leq(n0, n1) & leq(n0, n2) & leq(n0, n3) & leq(n0, pv5) & leq(n0, minus(n4, n1)) & leq(n1, minus(n4, n1)) & leq(n2, minus(n4, n1)) & leq(n3, minus(n4, n1)) & leq(pv5, minus(n1000, n1)) & (gt(pv5, n0) | (leq(n0, n0) & leq(n0, n1) & leq(n0, n2) & leq(n0, n3) & leq(n0, n4) & leq(n0, n5) & leq(n0, n6) & leq(n0, n7) & leq(n0, pv5) & leq(n0, minus(n6, n1)) & leq(n1, n7) & leq(n1, minus(n6, n1)) & leq(n2, n7) & leq(n2, minus(n6, n1)) & leq(n3, n7) & leq(n3, minus(n6, n1)) & leq(n4, n7) & leq(n4, minus(n6, n1)) & leq(n5, n7) & leq(n5, minus(n6, n1)) & leq(n6, n7) & leq(n7, n7) & leq(pv5, n588) & leq(pv5, minus(n1000, n1)))) & ((~gt(pv5, n0)) | (leq(n0, n0) & leq(n0, n1) & leq(n0, n2) & leq(n0, n3) & leq(n0, n4) & leq(n0, n5) & leq(n0, n6) & leq(n0, n7) & leq(n0, pv5) & leq(n0, minus(n4, n1)) & leq(n0, minus(n6, n1)) & leq(n1, n7) & leq(n1, minus(n4, n1)) & leq(n1, minus(n6, n1)) & leq(n2, n7) & leq(n2, minus(n4, n1)) & leq(n2, minus(n6, n1)) & leq(n3, n7) & leq(n3, minus(n4, n1)) & leq(n3, minus(n6, n1)) & leq(n4, n7) & leq(n4, minus(n6, n1)) & leq(n5, n7) & leq(n5, minus(n6, n1)) & leq(n6, n7) & leq(n7, n7) & leq(pv5, n588) & leq(pv5, minus(n1000, n1)))))))))) & ((~gt(pv5, n0)) | (leq(n0, n0) & leq(n0, n1) & leq(n0, n2) & leq(n0, n3) & leq(n0, n4) & leq(n0, n5) & leq(n0, n6) & leq(n0, n7) & leq(n0, pv5) & leq(n0, minus(n6, n1)) & leq(n1, n7) & leq(n1, minus(n6, n1)) & leq(n2, n7) & leq(n2, minus(n6, n1)) & leq(n3, n7) & leq(n4, n7) & leq(n4, minus(n6, n1)) & leq(n5, n7) & leq(n5, minus(n6, n1)) & leq(n6, n7) & leq(n7, n7) & leq(pv5, minus(n1000, n1)) & (gt(pv5, n0) | ((gt(pv5, n0) | ((gt(pv5, n0) | (leq(n0, n0) & leq(n0, n1) & leq(n0, n2) & leq(n0, n3) & leq(n0, n4) & leq(n0, n5) & leq(n0, n6) & leq(n0, n7) & leq(n0, pv5) & leq(n0, minus(n6, n1)) & leq(n1, n7) & leq(n1, minus(n6, n1)) & leq(n2, n7) & leq(n2, minus(n6, n1)) & leq(n3, n7) & leq(n3, minus(n6, n1)) & leq(n4, n7) & leq(n4, minus(n6, n1)) & leq(n5, n7) & leq(n5, minus(n6, n1)) & leq(n6, n7) & leq(n7, n7) & leq(pv5, n588) & leq(pv5, minus(n1000, n1)))) & ((~gt(pv5, n0)) | (leq(n0, n0) & leq(n0, n1) & leq(n0, n2) & leq(n0, n3) & leq(n0, n4) & leq(n0, n5) & leq(n0, n6) & leq(n0, n7) & leq(n0, pv5) & leq(n0, minus(n4, n1)) & leq(n0, minus(n6, n1)) & leq(n1, n7) & leq(n1, minus(n4, n1)) & leq(n1, minus(n6, n1)) & leq(n2, n7) & leq(n2, minus(n4, n1)) & leq(n2, minus(n6, n1)) & leq(n3, n7) & leq(n3, minus(n4, n1)) & leq(n3, minus(n6, n1)) & leq(n4, n7) & leq(n4, minus(n6, n1)) & leq(n5, n7) & leq(n5, minus(n6, n1)) & leq(n6, n7) & leq(n7, n7) & leq(pv5, n588) & leq(pv5, minus(n1000, n1)))))) & ((~gt(pv5, n0)) | (leq(n0, n0) & leq(n0, n1) & leq(n0, n2) & leq(n0, n3) & leq(n0, pv5) & leq(n0, minus(n4, n1)) & leq(n1, minus(n4, n1)) & leq(n2, minus(n4, n1)) & leq(n3, minus(n4, n1)) & leq(pv5, minus(n1000, n1)) & (gt(pv5, n0) | (leq(n0, n0) & leq(n0, n1) & leq(n0, n2) & leq(n0, n3) & leq(n0, n4) & leq(n0, n5) & leq(n0, n6) & leq(n0, n7) & leq(n0, pv5) & leq(n0, minus(n6, n1)) & leq(n1, n7) & leq(n1, minus(n6, n1)) & leq(n2, n7) & leq(n2, minus(n6, n1)) & leq(n3, n7) & leq(n3, minus(n6, n1)) & leq(n4, n7) & leq(n4, minus(n6, n1)) & leq(n5, n7) & leq(n5, minus(n6, n1)) & leq(n6, n7) & leq(n7, n7) & leq(pv5, n588) & leq(pv5, minus(n1000, n1)))) & ((~gt(pv5, n0)) | (leq(n0, n0) & leq(n0, n1) & leq(n0, n2) & leq(n0, n3) & leq(n0, n4) & leq(n0, n5) & leq(n0, n6) & leq(n0, n7) & leq(n0, pv5) & leq(n0, minus(n4, n1)) & leq(n0, minus(n6, n1)) & leq(n1, n7) & leq(n1, minus(n4, n1)) & leq(n1, minus(n6, n1)) & leq(n2, n7) & leq(n2, minus(n4, n1)) & leq(n2, minus(n6, n1)) & leq(n3, n7) & leq(n3, minus(n4, n1)) & leq(n3, minus(n6, n1)) & leq(n4, n7) & leq(n4, minus(n6, n1)) & leq(n5, n7) & leq(n5, minus(n6, n1)) & leq(n6, n7) & leq(n7, n7) & leq(pv5, n588) & leq(pv5, minus(n1000, n1)))))))) & ((~gt(pv5, n0)) | (leq(n0, n0) & leq(n0, n1) & leq(n0, n2) & leq(n0, n3) & leq(n0, n4) & leq(n0, n5) & leq(n0, n6) & leq(n0, n7) & leq(n0, pv5) & leq(n0, minus(n6, n1)) & leq(n1, n7) & leq(n2, n7) & leq(n3, n7) & leq(n3, minus(n6, n1)) & leq(n4, n7) & leq(n5, n7) & leq(n6, n7) & leq(n7, n7) & leq(pv5, minus(n1000, n1)) & (gt(pv5, n0) | ((gt(pv5, n0) | (leq(n0, n0) & leq(n0, n1) & leq(n0, n2) & leq(n0, n3) & leq(n0, n4) & leq(n0, n5) & leq(n0, n6) & leq(n0, n7) & leq(n0, pv5) & leq(n0, minus(n6, n1)) & leq(n1, n7) & leq(n1, minus(n6, n1)) & leq(n2, n7) & leq(n2, minus(n6, n1)) & leq(n3, n7) & leq(n3, minus(n6, n1)) & leq(n4, n7) & leq(n4, minus(n6, n1)) & leq(n5, n7) & leq(n5, minus(n6, n1)) & leq(n6, n7) & leq(n7, n7) & leq(pv5, n588) & leq(pv5, minus(n1000, n1)))) & ((~gt(pv5, n0)) | (leq(n0, n0) & leq(n0, n1) & leq(n0, n2) & leq(n0, n3) & leq(n0, n4) & leq(n0, n5) & leq(n0, n6) & leq(n0, n7) & leq(n0, pv5) & leq(n0, minus(n4, n1)) & leq(n0, minus(n6, n1)) & leq(n1, n7) & leq(n1, minus(n4, n1)) & leq(n1, minus(n6, n1)) & leq(n2, n7) & leq(n2, minus(n4, n1)) & leq(n2, minus(n6, n1)) & leq(n3, n7) & leq(n3, minus(n4, n1)) & leq(n3, minus(n6, n1)) & leq(n4, n7) & leq(n4, minus(n6, n1)) & leq(n5, n7) & leq(n5, minus(n6, n1)) & leq(n6, n7) & leq(n7, n7) & leq(pv5, n588) & leq(pv5, minus(n1000, n1)))))) & ((~gt(pv5, n0)) | (leq(n0, n0) & leq(n0, n1) & leq(n0, n2) & leq(n0, n3) & leq(n0, pv5) & leq(n0, minus(n4, n1)) & leq(n1, minus(n4, n1)) & leq(n2, minus(n4, n1)) & leq(n3, minus(n4, n1)) & leq(pv5, minus(n1000, n1)) & (gt(pv5, n0) | (leq(n0, n0) & leq(n0, n1) & leq(n0, n2) & leq(n0, n3) & leq(n0, n4) & leq(n0, n5) & leq(n0, n6) & leq(n0, n7) & leq(n0, pv5) & leq(n0, minus(n6, n1)) & leq(n1, n7) & leq(n1, minus(n6, n1)) & leq(n2, n7) & leq(n2, minus(n6, n1)) & leq(n3, n7) & leq(n3, minus(n6, n1)) & leq(n4, n7) & leq(n4, minus(n6, n1)) & leq(n5, n7) & leq(n5, minus(n6, n1)) & leq(n6, n7) & leq(n7, n7) & leq(pv5, n588) & leq(pv5, minus(n1000, n1)))) & ((~gt(pv5, n0)) | (leq(n0, n0) & leq(n0, n1) & leq(n0, n2) & leq(n0, n3) & leq(n0, n4) & leq(n0, n5) & leq(n0, n6) & leq(n0, n7) & leq(n0, pv5) & leq(n0, minus(n4, n1)) & leq(n0, minus(n6, n1)) & leq(n1, n7) & leq(n1, minus(n4, n1)) & leq(n1, minus(n6, n1)) & leq(n2, n7) & leq(n2, minus(n4, n1)) & leq(n2, minus(n6, n1)) & leq(n3, n7) & leq(n3, minus(n4, n1)) & leq(n3, minus(n6, n1)) & leq(n4, n7) & leq(n4, minus(n6, n1)) & leq(n5, n7) & leq(n5, minus(n6, n1)) & leq(n6, n7) & leq(n7, n7) & leq(pv5, n588) & leq(pv5, minus(n1000, n1)))))))))))) & (true | (~leq(n0, a_select2(sigma, pv23))) | (~(leq(n0, pv23) & leq(pv23, minus(n6, n1))))) & (true | (~(geq(minus(n4, n1), n0) & geq(minus(n1000, n1), n0))) | (~geq(minus(n6, n1), n0)))))),
% 0.64/0.76 inference(monotonicity,[status(thm)],[406])).
% 0.64/0.76 tff(408,plain,
% 0.64/0.76 (~(((~true) | (leq(n0, n0) & leq(n0, n1) & leq(n0, n2) & leq(n0, n3) & leq(n0, n4) & leq(n0, n5) & leq(n0, n6) & leq(n0, n7) & leq(n0, minus(n4, n1)) & leq(n0, minus(n6, n1)) & leq(n0, minus(n1000, n1)) & leq(n1, n7) & leq(n1, minus(n4, n1)) & leq(n1, minus(n6, n1)) & leq(n2, n7) & leq(n2, minus(n4, n1)) & leq(n2, minus(n6, n1)) & leq(n3, n7) & leq(n3, minus(n4, n1)) & leq(n3, minus(n6, n1)) & leq(n4, n7) & leq(n4, minus(n6, n1)) & leq(n5, n7) & leq(n5, minus(n6, n1)) & leq(n6, n7) & leq(n7, n7))) & ((~(leq(n0, pv5) & leq(n0, pv21) & leq(pv5, n588) & leq(pv21, minus(n6, n1)))) | (leq(n0, n0) & leq(n0, pv5) & leq(n0, pv21) & leq(pv5, n588) & leq(pv21, n5) & leq(pv21, minus(n6, n1)))) & ((~(leq(n0, pv5) & leq(n0, pv31) & leq(n0, pv32) & leq(pv5, n588) & leq(pv31, minus(n6, n1)) & leq(pv32, minus(n6, n1)))) | (((pv31 = pv32) | (leq(n0, pv5) & leq(n0, pv31) & leq(n0, pv32) & leq(pv5, n588) & leq(pv31, minus(n6, n1)) & leq(pv32, minus(n6, n1)))) & ((~(pv31 = pv32)) | (leq(n0, pv5) & leq(n0, pv31) & leq(n0, pv32) & leq(pv5, n588) & leq(pv31, minus(n6, n1)) & leq(pv32, minus(n6, n1)))))) & ((~(leq(n0, pv5) & leq(n0, pv31) & leq(pv5, n588) & leq(pv31, minus(n6, n1)))) | (leq(n0, pv5) & leq(pv5, n588))) & (true | (~(leq(n0, pv5) & leq(pv5, n588)))) & ((~(leq(n0, pv5) & leq(pv5, n588))) | (leq(n0, n0) & leq(n0, n1) & leq(n0, n2) & leq(n0, n3) & leq(n0, pv5) & leq(n0, minus(n4, n1)) & leq(n0, minus(n6, n1)) & leq(n1, minus(n4, n1)) & leq(n1, minus(n6, n1)) & leq(n2, minus(n4, n1)) & leq(n2, minus(n6, n1)) & leq(n3, minus(n4, n1)) & leq(pv5, minus(n1000, n1)) & (gt(pv5, n0) | ((gt(pv5, n0) | ((gt(pv5, n0) | ((gt(pv5, n0) | (leq(n0, n0) & leq(n0, n1) & leq(n0, n2) & leq(n0, n3) & leq(n0, n4) & leq(n0, n5) & leq(n0, n6) & leq(n0, n7) & leq(n0, pv5) & leq(n0, minus(n6, n1)) & leq(n1, n7) & leq(n1, minus(n6, n1)) & leq(n2, n7) & leq(n2, minus(n6, n1)) & leq(n3, n7) & leq(n3, minus(n6, n1)) & leq(n4, n7) & leq(n4, minus(n6, n1)) & leq(n5, n7) & leq(n5, minus(n6, n1)) & leq(n6, n7) & leq(n7, n7) & leq(pv5, n588) & leq(pv5, minus(n1000, n1)))) & ((~gt(pv5, n0)) | (leq(n0, n0) & leq(n0, n1) & leq(n0, n2) & leq(n0, n3) & leq(n0, n4) & leq(n0, n5) & leq(n0, n6) & leq(n0, n7) & leq(n0, pv5) & leq(n0, minus(n4, n1)) & leq(n0, minus(n6, n1)) & leq(n1, n7) & leq(n1, minus(n4, n1)) & leq(n1, minus(n6, n1)) & leq(n2, n7) & leq(n2, minus(n4, n1)) & leq(n2, minus(n6, n1)) & leq(n3, n7) & leq(n3, minus(n4, n1)) & leq(n3, minus(n6, n1)) & leq(n4, n7) & leq(n4, minus(n6, n1)) & leq(n5, n7) & leq(n5, minus(n6, n1)) & leq(n6, n7) & leq(n7, n7) & leq(pv5, n588) & leq(pv5, minus(n1000, n1)))))) & ((~gt(pv5, n0)) | (leq(n0, n0) & leq(n0, n1) & leq(n0, n2) & leq(n0, n3) & leq(n0, pv5) & leq(n0, minus(n4, n1)) & leq(n1, minus(n4, n1)) & leq(n2, minus(n4, n1)) & leq(n3, minus(n4, n1)) & leq(pv5, minus(n1000, n1)) & (gt(pv5, n0) | (leq(n0, n0) & leq(n0, n1) & leq(n0, n2) & leq(n0, n3) & leq(n0, n4) & leq(n0, n5) & leq(n0, n6) & leq(n0, n7) & leq(n0, pv5) & leq(n0, minus(n6, n1)) & leq(n1, n7) & leq(n1, minus(n6, n1)) & leq(n2, n7) & leq(n2, minus(n6, n1)) & leq(n3, n7) & leq(n3, minus(n6, n1)) & leq(n4, n7) & leq(n4, minus(n6, n1)) & leq(n5, n7) & leq(n5, minus(n6, n1)) & leq(n6, n7) & leq(n7, n7) & leq(pv5, n588) & leq(pv5, minus(n1000, n1)))) & ((~gt(pv5, n0)) | (leq(n0, n0) & leq(n0, n1) & leq(n0, n2) & leq(n0, n3) & leq(n0, n4) & leq(n0, n5) & leq(n0, n6) & leq(n0, n7) & leq(n0, pv5) & leq(n0, minus(n4, n1)) & leq(n0, minus(n6, n1)) & leq(n1, n7) & leq(n1, minus(n4, n1)) & leq(n1, minus(n6, n1)) & leq(n2, n7) & leq(n2, minus(n4, n1)) & leq(n2, minus(n6, n1)) & leq(n3, n7) & leq(n3, minus(n4, n1)) & leq(n3, minus(n6, n1)) & leq(n4, n7) & leq(n4, minus(n6, n1)) & leq(n5, n7) & leq(n5, minus(n6, n1)) & leq(n6, n7) & leq(n7, n7) & leq(pv5, n588) & leq(pv5, minus(n1000, n1)))))))) & ((~gt(pv5, n0)) | (leq(n0, n0) & leq(n0, n1) & leq(n0, n2) & leq(n0, n3) & leq(n0, n4) & leq(n0, n5) & leq(n0, n6) & leq(n0, n7) & leq(n0, pv5) & leq(n0, minus(n6, n1)) & leq(n1, n7) & leq(n2, n7) & leq(n3, n7) & leq(n3, minus(n6, n1)) & leq(n4, n7) & leq(n5, n7) & leq(n6, n7) & leq(n7, n7) & leq(pv5, minus(n1000, n1)) & (gt(pv5, n0) | ((gt(pv5, n0) | (leq(n0, n0) & leq(n0, n1) & leq(n0, n2) & leq(n0, n3) & leq(n0, n4) & leq(n0, n5) & leq(n0, n6) & leq(n0, n7) & leq(n0, pv5) & leq(n0, minus(n6, n1)) & leq(n1, n7) & leq(n1, minus(n6, n1)) & leq(n2, n7) & leq(n2, minus(n6, n1)) & leq(n3, n7) & leq(n3, minus(n6, n1)) & leq(n4, n7) & leq(n4, minus(n6, n1)) & leq(n5, n7) & leq(n5, minus(n6, n1)) & leq(n6, n7) & leq(n7, n7) & leq(pv5, n588) & leq(pv5, minus(n1000, n1)))) & ((~gt(pv5, n0)) | (leq(n0, n0) & leq(n0, n1) & leq(n0, n2) & leq(n0, n3) & leq(n0, n4) & leq(n0, n5) & leq(n0, n6) & leq(n0, n7) & leq(n0, pv5) & leq(n0, minus(n4, n1)) & leq(n0, minus(n6, n1)) & leq(n1, n7) & leq(n1, minus(n4, n1)) & leq(n1, minus(n6, n1)) & leq(n2, n7) & leq(n2, minus(n4, n1)) & leq(n2, minus(n6, n1)) & leq(n3, n7) & leq(n3, minus(n4, n1)) & leq(n3, minus(n6, n1)) & leq(n4, n7) & leq(n4, minus(n6, n1)) & leq(n5, n7) & leq(n5, minus(n6, n1)) & leq(n6, n7) & leq(n7, n7) & leq(pv5, n588) & leq(pv5, minus(n1000, n1)))))) & ((~gt(pv5, n0)) | (leq(n0, n0) & leq(n0, n1) & leq(n0, n2) & leq(n0, n3) & leq(n0, pv5) & leq(n0, minus(n4, n1)) & leq(n1, minus(n4, n1)) & leq(n2, minus(n4, n1)) & leq(n3, minus(n4, n1)) & leq(pv5, minus(n1000, n1)) & (gt(pv5, n0) | (leq(n0, n0) & leq(n0, n1) & leq(n0, n2) & leq(n0, n3) & leq(n0, n4) & leq(n0, n5) & leq(n0, n6) & leq(n0, n7) & leq(n0, pv5) & leq(n0, minus(n6, n1)) & leq(n1, n7) & leq(n1, minus(n6, n1)) & leq(n2, n7) & leq(n2, minus(n6, n1)) & leq(n3, n7) & leq(n3, minus(n6, n1)) & leq(n4, n7) & leq(n4, minus(n6, n1)) & leq(n5, n7) & leq(n5, minus(n6, n1)) & leq(n6, n7) & leq(n7, n7) & leq(pv5, n588) & leq(pv5, minus(n1000, n1)))) & ((~gt(pv5, n0)) | (leq(n0, n0) & leq(n0, n1) & leq(n0, n2) & leq(n0, n3) & leq(n0, n4) & leq(n0, n5) & leq(n0, n6) & leq(n0, n7) & leq(n0, pv5) & leq(n0, minus(n4, n1)) & leq(n0, minus(n6, n1)) & leq(n1, n7) & leq(n1, minus(n4, n1)) & leq(n1, minus(n6, n1)) & leq(n2, n7) & leq(n2, minus(n4, n1)) & leq(n2, minus(n6, n1)) & leq(n3, n7) & leq(n3, minus(n4, n1)) & leq(n3, minus(n6, n1)) & leq(n4, n7) & leq(n4, minus(n6, n1)) & leq(n5, n7) & leq(n5, minus(n6, n1)) & leq(n6, n7) & leq(n7, n7) & leq(pv5, n588) & leq(pv5, minus(n1000, n1)))))))))) & ((~gt(pv5, n0)) | (leq(n0, n0) & leq(n0, n1) & leq(n0, n2) & leq(n0, n3) & leq(n0, n4) & leq(n0, n5) & leq(n0, n6) & leq(n0, n7) & leq(n0, pv5) & leq(n0, minus(n6, n1)) & leq(n1, n7) & leq(n1, minus(n6, n1)) & leq(n2, n7) & leq(n2, minus(n6, n1)) & leq(n3, n7) & leq(n4, n7) & leq(n4, minus(n6, n1)) & leq(n5, n7) & leq(n5, minus(n6, n1)) & leq(n6, n7) & leq(n7, n7) & leq(pv5, minus(n1000, n1)) & (gt(pv5, n0) | ((gt(pv5, n0) | ((gt(pv5, n0) | (leq(n0, n0) & leq(n0, n1) & leq(n0, n2) & leq(n0, n3) & leq(n0, n4) & leq(n0, n5) & leq(n0, n6) & leq(n0, n7) & leq(n0, pv5) & leq(n0, minus(n6, n1)) & leq(n1, n7) & leq(n1, minus(n6, n1)) & leq(n2, n7) & leq(n2, minus(n6, n1)) & leq(n3, n7) & leq(n3, minus(n6, n1)) & leq(n4, n7) & leq(n4, minus(n6, n1)) & leq(n5, n7) & leq(n5, minus(n6, n1)) & leq(n6, n7) & leq(n7, n7) & leq(pv5, n588) & leq(pv5, minus(n1000, n1)))) & ((~gt(pv5, n0)) | (leq(n0, n0) & leq(n0, n1) & leq(n0, n2) & leq(n0, n3) & leq(n0, n4) & leq(n0, n5) & leq(n0, n6) & leq(n0, n7) & leq(n0, pv5) & leq(n0, minus(n4, n1)) & leq(n0, minus(n6, n1)) & leq(n1, n7) & leq(n1, minus(n4, n1)) & leq(n1, minus(n6, n1)) & leq(n2, n7) & leq(n2, minus(n4, n1)) & leq(n2, minus(n6, n1)) & leq(n3, n7) & leq(n3, minus(n4, n1)) & leq(n3, minus(n6, n1)) & leq(n4, n7) & leq(n4, minus(n6, n1)) & leq(n5, n7) & leq(n5, minus(n6, n1)) & leq(n6, n7) & leq(n7, n7) & leq(pv5, n588) & leq(pv5, minus(n1000, n1)))))) & ((~gt(pv5, n0)) | (leq(n0, n0) & leq(n0, n1) & leq(n0, n2) & leq(n0, n3) & leq(n0, pv5) & leq(n0, minus(n4, n1)) & leq(n1, minus(n4, n1)) & leq(n2, minus(n4, n1)) & leq(n3, minus(n4, n1)) & leq(pv5, minus(n1000, n1)) & (gt(pv5, n0) | (leq(n0, n0) & leq(n0, n1) & leq(n0, n2) & leq(n0, n3) & leq(n0, n4) & leq(n0, n5) & leq(n0, n6) & leq(n0, n7) & leq(n0, pv5) & leq(n0, minus(n6, n1)) & leq(n1, n7) & leq(n1, minus(n6, n1)) & leq(n2, n7) & leq(n2, minus(n6, n1)) & leq(n3, n7) & leq(n3, minus(n6, n1)) & leq(n4, n7) & leq(n4, minus(n6, n1)) & leq(n5, n7) & leq(n5, minus(n6, n1)) & leq(n6, n7) & leq(n7, n7) & leq(pv5, n588) & leq(pv5, minus(n1000, n1)))) & ((~gt(pv5, n0)) | (leq(n0, n0) & leq(n0, n1) & leq(n0, n2) & leq(n0, n3) & leq(n0, n4) & leq(n0, n5) & leq(n0, n6) & leq(n0, n7) & leq(n0, pv5) & leq(n0, minus(n4, n1)) & leq(n0, minus(n6, n1)) & leq(n1, n7) & leq(n1, minus(n4, n1)) & leq(n1, minus(n6, n1)) & leq(n2, n7) & leq(n2, minus(n4, n1)) & leq(n2, minus(n6, n1)) & leq(n3, n7) & leq(n3, minus(n4, n1)) & leq(n3, minus(n6, n1)) & leq(n4, n7) & leq(n4, minus(n6, n1)) & leq(n5, n7) & leq(n5, minus(n6, n1)) & leq(n6, n7) & leq(n7, n7) & leq(pv5, n588) & leq(pv5, minus(n1000, n1)))))))) & ((~gt(pv5, n0)) | (leq(n0, n0) & leq(n0, n1) & leq(n0, n2) & leq(n0, n3) & leq(n0, n4) & leq(n0, n5) & leq(n0, n6) & leq(n0, n7) & leq(n0, pv5) & leq(n0, minus(n6, n1)) & leq(n1, n7) & leq(n2, n7) & leq(n3, n7) & leq(n3, minus(n6, n1)) & leq(n4, n7) & leq(n5, n7) & leq(n6, n7) & leq(n7, n7) & leq(pv5, minus(n1000, n1)) & (gt(pv5, n0) | ((gt(pv5, n0) | (leq(n0, n0) & leq(n0, n1) & leq(n0, n2) & leq(n0, n3) & leq(n0, n4) & leq(n0, n5) & leq(n0, n6) & leq(n0, n7) & leq(n0, pv5) & leq(n0, minus(n6, n1)) & leq(n1, n7) & leq(n1, minus(n6, n1)) & leq(n2, n7) & leq(n2, minus(n6, n1)) & leq(n3, n7) & leq(n3, minus(n6, n1)) & leq(n4, n7) & leq(n4, minus(n6, n1)) & leq(n5, n7) & leq(n5, minus(n6, n1)) & leq(n6, n7) & leq(n7, n7) & leq(pv5, n588) & leq(pv5, minus(n1000, n1)))) & ((~gt(pv5, n0)) | (leq(n0, n0) & leq(n0, n1) & leq(n0, n2) & leq(n0, n3) & leq(n0, n4) & leq(n0, n5) & leq(n0, n6) & leq(n0, n7) & leq(n0, pv5) & leq(n0, minus(n4, n1)) & leq(n0, minus(n6, n1)) & leq(n1, n7) & leq(n1, minus(n4, n1)) & leq(n1, minus(n6, n1)) & leq(n2, n7) & leq(n2, minus(n4, n1)) & leq(n2, minus(n6, n1)) & leq(n3, n7) & leq(n3, minus(n4, n1)) & leq(n3, minus(n6, n1)) & leq(n4, n7) & leq(n4, minus(n6, n1)) & leq(n5, n7) & leq(n5, minus(n6, n1)) & leq(n6, n7) & leq(n7, n7) & leq(pv5, n588) & leq(pv5, minus(n1000, n1)))))) & ((~gt(pv5, n0)) | (leq(n0, n0) & leq(n0, n1) & leq(n0, n2) & leq(n0, n3) & leq(n0, pv5) & leq(n0, minus(n4, n1)) & leq(n1, minus(n4, n1)) & leq(n2, minus(n4, n1)) & leq(n3, minus(n4, n1)) & leq(pv5, minus(n1000, n1)) & (gt(pv5, n0) | (leq(n0, n0) & leq(n0, n1) & leq(n0, n2) & leq(n0, n3) & leq(n0, n4) & leq(n0, n5) & leq(n0, n6) & leq(n0, n7) & leq(n0, pv5) & leq(n0, minus(n6, n1)) & leq(n1, n7) & leq(n1, minus(n6, n1)) & leq(n2, n7) & leq(n2, minus(n6, n1)) & leq(n3, n7) & leq(n3, minus(n6, n1)) & leq(n4, n7) & leq(n4, minus(n6, n1)) & leq(n5, n7) & leq(n5, minus(n6, n1)) & leq(n6, n7) & leq(n7, n7) & leq(pv5, n588) & leq(pv5, minus(n1000, n1)))) & ((~gt(pv5, n0)) | (leq(n0, n0) & leq(n0, n1) & leq(n0, n2) & leq(n0, n3) & leq(n0, n4) & leq(n0, n5) & leq(n0, n6) & leq(n0, n7) & leq(n0, pv5) & leq(n0, minus(n4, n1)) & leq(n0, minus(n6, n1)) & leq(n1, n7) & leq(n1, minus(n4, n1)) & leq(n1, minus(n6, n1)) & leq(n2, n7) & leq(n2, minus(n4, n1)) & leq(n2, minus(n6, n1)) & leq(n3, n7) & leq(n3, minus(n4, n1)) & leq(n3, minus(n6, n1)) & leq(n4, n7) & leq(n4, minus(n6, n1)) & leq(n5, n7) & leq(n5, minus(n6, n1)) & leq(n6, n7) & leq(n7, n7) & leq(pv5, n588) & leq(pv5, minus(n1000, n1)))))))))))) & (true | (~leq(n0, a_select2(sigma, pv23))) | (~(leq(n0, pv23) & leq(pv23, minus(n6, n1))))) & (true | (~(geq(minus(n4, n1), n0) & geq(minus(n1000, n1), n0))) | (~geq(minus(n6, n1), n0))))),
% 0.70/0.78 inference(or_elim,[status(thm)],[288])).
% 0.70/0.78 tff(409,plain,
% 0.70/0.78 (~(((~true) | (leq(n0, n0) & leq(n0, n1) & leq(n0, n2) & leq(n0, n3) & leq(n0, n4) & leq(n0, n5) & leq(n0, n6) & leq(n0, n7) & leq(n0, minus(n4, n1)) & leq(n0, minus(n6, n1)) & leq(n0, minus(n1000, n1)) & leq(n1, n7) & leq(n1, minus(n4, n1)) & leq(n1, minus(n6, n1)) & leq(n2, n7) & leq(n2, minus(n4, n1)) & leq(n2, minus(n6, n1)) & leq(n3, n7) & leq(n3, minus(n4, n1)) & leq(n3, minus(n6, n1)) & leq(n4, n7) & leq(n4, minus(n6, n1)) & leq(n5, n7) & leq(n5, minus(n6, n1)) & leq(n6, n7) & leq(n7, n7))) & ((~(leq(n0, pv5) & leq(n0, pv21) & leq(pv5, n588) & leq(pv21, minus(n6, n1)))) | (leq(n0, n0) & leq(n0, pv5) & leq(n0, pv21) & leq(pv5, n588) & leq(pv21, n5) & leq(pv21, minus(n6, n1)))) & ((~(leq(n0, pv5) & leq(n0, pv31) & leq(n0, pv32) & leq(pv5, n588) & leq(pv31, minus(n6, n1)) & leq(pv32, minus(n6, n1)))) | (((pv31 = pv32) | (leq(n0, pv5) & leq(n0, pv31) & leq(n0, pv32) & leq(pv5, n588) & leq(pv31, minus(n6, n1)) & leq(pv32, minus(n6, n1)))) & ((~(pv31 = pv32)) | (leq(n0, pv5) & leq(n0, pv31) & leq(n0, pv32) & leq(pv5, n588) & leq(pv31, minus(n6, n1)) & leq(pv32, minus(n6, n1)))))) & ((~(leq(n0, pv5) & leq(n0, pv31) & leq(pv5, n588) & leq(pv31, minus(n6, n1)))) | (leq(n0, pv5) & leq(pv5, n588))) & (true | (~(leq(n0, pv5) & leq(pv5, n588)))) & ((~(leq(n0, pv5) & leq(pv5, n588))) | (leq(n0, n0) & leq(n0, n1) & leq(n0, n2) & leq(n0, n3) & leq(n0, pv5) & leq(n0, minus(n4, n1)) & leq(n0, minus(n6, n1)) & leq(n1, minus(n4, n1)) & leq(n1, minus(n6, n1)) & leq(n2, minus(n4, n1)) & leq(n2, minus(n6, n1)) & leq(n3, minus(n4, n1)) & leq(pv5, minus(n1000, n1)) & (gt(pv5, n0) | ((gt(pv5, n0) | ((gt(pv5, n0) | ((gt(pv5, n0) | (leq(n0, n0) & leq(n0, n1) & leq(n0, n2) & leq(n0, n3) & leq(n0, n4) & leq(n0, n5) & leq(n0, n6) & leq(n0, n7) & leq(n0, pv5) & leq(n0, minus(n6, n1)) & leq(n1, n7) & leq(n1, minus(n6, n1)) & leq(n2, n7) & leq(n2, minus(n6, n1)) & leq(n3, n7) & leq(n3, minus(n6, n1)) & leq(n4, n7) & leq(n4, minus(n6, n1)) & leq(n5, n7) & leq(n5, minus(n6, n1)) & leq(n6, n7) & leq(n7, n7) & leq(pv5, n588) & leq(pv5, minus(n1000, n1)))) & ((~gt(pv5, n0)) | (leq(n0, n0) & leq(n0, n1) & leq(n0, n2) & leq(n0, n3) & leq(n0, n4) & leq(n0, n5) & leq(n0, n6) & leq(n0, n7) & leq(n0, pv5) & leq(n0, minus(n4, n1)) & leq(n0, minus(n6, n1)) & leq(n1, n7) & leq(n1, minus(n4, n1)) & leq(n1, minus(n6, n1)) & leq(n2, n7) & leq(n2, minus(n4, n1)) & leq(n2, minus(n6, n1)) & leq(n3, n7) & leq(n3, minus(n4, n1)) & leq(n3, minus(n6, n1)) & leq(n4, n7) & leq(n4, minus(n6, n1)) & leq(n5, n7) & leq(n5, minus(n6, n1)) & leq(n6, n7) & leq(n7, n7) & leq(pv5, n588) & leq(pv5, minus(n1000, n1)))))) & ((~gt(pv5, n0)) | (leq(n0, n0) & leq(n0, n1) & leq(n0, n2) & leq(n0, n3) & leq(n0, pv5) & leq(n0, minus(n4, n1)) & leq(n1, minus(n4, n1)) & leq(n2, minus(n4, n1)) & leq(n3, minus(n4, n1)) & leq(pv5, minus(n1000, n1)) & (gt(pv5, n0) | (leq(n0, n0) & leq(n0, n1) & leq(n0, n2) & leq(n0, n3) & leq(n0, n4) & leq(n0, n5) & leq(n0, n6) & leq(n0, n7) & leq(n0, pv5) & leq(n0, minus(n6, n1)) & leq(n1, n7) & leq(n1, minus(n6, n1)) & leq(n2, n7) & leq(n2, minus(n6, n1)) & leq(n3, n7) & leq(n3, minus(n6, n1)) & leq(n4, n7) & leq(n4, minus(n6, n1)) & leq(n5, n7) & leq(n5, minus(n6, n1)) & leq(n6, n7) & leq(n7, n7) & leq(pv5, n588) & leq(pv5, minus(n1000, n1)))) & ((~gt(pv5, n0)) | (leq(n0, n0) & leq(n0, n1) & leq(n0, n2) & leq(n0, n3) & leq(n0, n4) & leq(n0, n5) & leq(n0, n6) & leq(n0, n7) & leq(n0, pv5) & leq(n0, minus(n4, n1)) & leq(n0, minus(n6, n1)) & leq(n1, n7) & leq(n1, minus(n4, n1)) & leq(n1, minus(n6, n1)) & leq(n2, n7) & leq(n2, minus(n4, n1)) & leq(n2, minus(n6, n1)) & leq(n3, n7) & leq(n3, minus(n4, n1)) & leq(n3, minus(n6, n1)) & leq(n4, n7) & leq(n4, minus(n6, n1)) & leq(n5, n7) & leq(n5, minus(n6, n1)) & leq(n6, n7) & leq(n7, n7) & leq(pv5, n588) & leq(pv5, minus(n1000, n1)))))))) & ((~gt(pv5, n0)) | (leq(n0, n0) & leq(n0, n1) & leq(n0, n2) & leq(n0, n3) & leq(n0, n4) & leq(n0, n5) & leq(n0, n6) & leq(n0, n7) & leq(n0, pv5) & leq(n0, minus(n6, n1)) & leq(n1, n7) & leq(n2, n7) & leq(n3, n7) & leq(n3, minus(n6, n1)) & leq(n4, n7) & leq(n5, n7) & leq(n6, n7) & leq(n7, n7) & leq(pv5, minus(n1000, n1)) & (gt(pv5, n0) | ((gt(pv5, n0) | (leq(n0, n0) & leq(n0, n1) & leq(n0, n2) & leq(n0, n3) & leq(n0, n4) & leq(n0, n5) & leq(n0, n6) & leq(n0, n7) & leq(n0, pv5) & leq(n0, minus(n6, n1)) & leq(n1, n7) & leq(n1, minus(n6, n1)) & leq(n2, n7) & leq(n2, minus(n6, n1)) & leq(n3, n7) & leq(n3, minus(n6, n1)) & leq(n4, n7) & leq(n4, minus(n6, n1)) & leq(n5, n7) & leq(n5, minus(n6, n1)) & leq(n6, n7) & leq(n7, n7) & leq(pv5, n588) & leq(pv5, minus(n1000, n1)))) & ((~gt(pv5, n0)) | (leq(n0, n0) & leq(n0, n1) & leq(n0, n2) & leq(n0, n3) & leq(n0, n4) & leq(n0, n5) & leq(n0, n6) & leq(n0, n7) & leq(n0, pv5) & leq(n0, minus(n4, n1)) & leq(n0, minus(n6, n1)) & leq(n1, n7) & leq(n1, minus(n4, n1)) & leq(n1, minus(n6, n1)) & leq(n2, n7) & leq(n2, minus(n4, n1)) & leq(n2, minus(n6, n1)) & leq(n3, n7) & leq(n3, minus(n4, n1)) & leq(n3, minus(n6, n1)) & leq(n4, n7) & leq(n4, minus(n6, n1)) & leq(n5, n7) & leq(n5, minus(n6, n1)) & leq(n6, n7) & leq(n7, n7) & leq(pv5, n588) & leq(pv5, minus(n1000, n1)))))) & ((~gt(pv5, n0)) | (leq(n0, n0) & leq(n0, n1) & leq(n0, n2) & leq(n0, n3) & leq(n0, pv5) & leq(n0, minus(n4, n1)) & leq(n1, minus(n4, n1)) & leq(n2, minus(n4, n1)) & leq(n3, minus(n4, n1)) & leq(pv5, minus(n1000, n1)) & (gt(pv5, n0) | (leq(n0, n0) & leq(n0, n1) & leq(n0, n2) & leq(n0, n3) & leq(n0, n4) & leq(n0, n5) & leq(n0, n6) & leq(n0, n7) & leq(n0, pv5) & leq(n0, minus(n6, n1)) & leq(n1, n7) & leq(n1, minus(n6, n1)) & leq(n2, n7) & leq(n2, minus(n6, n1)) & leq(n3, n7) & leq(n3, minus(n6, n1)) & leq(n4, n7) & leq(n4, minus(n6, n1)) & leq(n5, n7) & leq(n5, minus(n6, n1)) & leq(n6, n7) & leq(n7, n7) & leq(pv5, n588) & leq(pv5, minus(n1000, n1)))) & ((~gt(pv5, n0)) | (leq(n0, n0) & leq(n0, n1) & leq(n0, n2) & leq(n0, n3) & leq(n0, n4) & leq(n0, n5) & leq(n0, n6) & leq(n0, n7) & leq(n0, pv5) & leq(n0, minus(n4, n1)) & leq(n0, minus(n6, n1)) & leq(n1, n7) & leq(n1, minus(n4, n1)) & leq(n1, minus(n6, n1)) & leq(n2, n7) & leq(n2, minus(n4, n1)) & leq(n2, minus(n6, n1)) & leq(n3, n7) & leq(n3, minus(n4, n1)) & leq(n3, minus(n6, n1)) & leq(n4, n7) & leq(n4, minus(n6, n1)) & leq(n5, n7) & leq(n5, minus(n6, n1)) & leq(n6, n7) & leq(n7, n7) & leq(pv5, n588) & leq(pv5, minus(n1000, n1)))))))))) & ((~gt(pv5, n0)) | (leq(n0, n0) & leq(n0, n1) & leq(n0, n2) & leq(n0, n3) & leq(n0, n4) & leq(n0, n5) & leq(n0, n6) & leq(n0, n7) & leq(n0, pv5) & leq(n0, minus(n6, n1)) & leq(n1, n7) & leq(n1, minus(n6, n1)) & leq(n2, n7) & leq(n2, minus(n6, n1)) & leq(n3, n7) & leq(n4, n7) & leq(n4, minus(n6, n1)) & leq(n5, n7) & leq(n5, minus(n6, n1)) & leq(n6, n7) & leq(n7, n7) & leq(pv5, minus(n1000, n1)) & (gt(pv5, n0) | ((gt(pv5, n0) | ((gt(pv5, n0) | (leq(n0, n0) & leq(n0, n1) & leq(n0, n2) & leq(n0, n3) & leq(n0, n4) & leq(n0, n5) & leq(n0, n6) & leq(n0, n7) & leq(n0, pv5) & leq(n0, minus(n6, n1)) & leq(n1, n7) & leq(n1, minus(n6, n1)) & leq(n2, n7) & leq(n2, minus(n6, n1)) & leq(n3, n7) & leq(n3, minus(n6, n1)) & leq(n4, n7) & leq(n4, minus(n6, n1)) & leq(n5, n7) & leq(n5, minus(n6, n1)) & leq(n6, n7) & leq(n7, n7) & leq(pv5, n588) & leq(pv5, minus(n1000, n1)))) & ((~gt(pv5, n0)) | (leq(n0, n0) & leq(n0, n1) & leq(n0, n2) & leq(n0, n3) & leq(n0, n4) & leq(n0, n5) & leq(n0, n6) & leq(n0, n7) & leq(n0, pv5) & leq(n0, minus(n4, n1)) & leq(n0, minus(n6, n1)) & leq(n1, n7) & leq(n1, minus(n4, n1)) & leq(n1, minus(n6, n1)) & leq(n2, n7) & leq(n2, minus(n4, n1)) & leq(n2, minus(n6, n1)) & leq(n3, n7) & leq(n3, minus(n4, n1)) & leq(n3, minus(n6, n1)) & leq(n4, n7) & leq(n4, minus(n6, n1)) & leq(n5, n7) & leq(n5, minus(n6, n1)) & leq(n6, n7) & leq(n7, n7) & leq(pv5, n588) & leq(pv5, minus(n1000, n1)))))) & ((~gt(pv5, n0)) | (leq(n0, n0) & leq(n0, n1) & leq(n0, n2) & leq(n0, n3) & leq(n0, pv5) & leq(n0, minus(n4, n1)) & leq(n1, minus(n4, n1)) & leq(n2, minus(n4, n1)) & leq(n3, minus(n4, n1)) & leq(pv5, minus(n1000, n1)) & (gt(pv5, n0) | (leq(n0, n0) & leq(n0, n1) & leq(n0, n2) & leq(n0, n3) & leq(n0, n4) & leq(n0, n5) & leq(n0, n6) & leq(n0, n7) & leq(n0, pv5) & leq(n0, minus(n6, n1)) & leq(n1, n7) & leq(n1, minus(n6, n1)) & leq(n2, n7) & leq(n2, minus(n6, n1)) & leq(n3, n7) & leq(n3, minus(n6, n1)) & leq(n4, n7) & leq(n4, minus(n6, n1)) & leq(n5, n7) & leq(n5, minus(n6, n1)) & leq(n6, n7) & leq(n7, n7) & leq(pv5, n588) & leq(pv5, minus(n1000, n1)))) & ((~gt(pv5, n0)) | (leq(n0, n0) & leq(n0, n1) & leq(n0, n2) & leq(n0, n3) & leq(n0, n4) & leq(n0, n5) & leq(n0, n6) & leq(n0, n7) & leq(n0, pv5) & leq(n0, minus(n4, n1)) & leq(n0, minus(n6, n1)) & leq(n1, n7) & leq(n1, minus(n4, n1)) & leq(n1, minus(n6, n1)) & leq(n2, n7) & leq(n2, minus(n4, n1)) & leq(n2, minus(n6, n1)) & leq(n3, n7) & leq(n3, minus(n4, n1)) & leq(n3, minus(n6, n1)) & leq(n4, n7) & leq(n4, minus(n6, n1)) & leq(n5, n7) & leq(n5, minus(n6, n1)) & leq(n6, n7) & leq(n7, n7) & leq(pv5, n588) & leq(pv5, minus(n1000, n1)))))))) & ((~gt(pv5, n0)) | (leq(n0, n0) & leq(n0, n1) & leq(n0, n2) & leq(n0, n3) & leq(n0, n4) & leq(n0, n5) & leq(n0, n6) & leq(n0, n7) & leq(n0, pv5) & leq(n0, minus(n6, n1)) & leq(n1, n7) & leq(n2, n7) & leq(n3, n7) & leq(n3, minus(n6, n1)) & leq(n4, n7) & leq(n5, n7) & leq(n6, n7) & leq(n7, n7) & leq(pv5, minus(n1000, n1)) & (gt(pv5, n0) | ((gt(pv5, n0) | (leq(n0, n0) & leq(n0, n1) & leq(n0, n2) & leq(n0, n3) & leq(n0, n4) & leq(n0, n5) & leq(n0, n6) & leq(n0, n7) & leq(n0, pv5) & leq(n0, minus(n6, n1)) & leq(n1, n7) & leq(n1, minus(n6, n1)) & leq(n2, n7) & leq(n2, minus(n6, n1)) & leq(n3, n7) & leq(n3, minus(n6, n1)) & leq(n4, n7) & leq(n4, minus(n6, n1)) & leq(n5, n7) & leq(n5, minus(n6, n1)) & leq(n6, n7) & leq(n7, n7) & leq(pv5, n588) & leq(pv5, minus(n1000, n1)))) & ((~gt(pv5, n0)) | (leq(n0, n0) & leq(n0, n1) & leq(n0, n2) & leq(n0, n3) & leq(n0, n4) & leq(n0, n5) & leq(n0, n6) & leq(n0, n7) & leq(n0, pv5) & leq(n0, minus(n4, n1)) & leq(n0, minus(n6, n1)) & leq(n1, n7) & leq(n1, minus(n4, n1)) & leq(n1, minus(n6, n1)) & leq(n2, n7) & leq(n2, minus(n4, n1)) & leq(n2, minus(n6, n1)) & leq(n3, n7) & leq(n3, minus(n4, n1)) & leq(n3, minus(n6, n1)) & leq(n4, n7) & leq(n4, minus(n6, n1)) & leq(n5, n7) & leq(n5, minus(n6, n1)) & leq(n6, n7) & leq(n7, n7) & leq(pv5, n588) & leq(pv5, minus(n1000, n1)))))) & ((~gt(pv5, n0)) | (leq(n0, n0) & leq(n0, n1) & leq(n0, n2) & leq(n0, n3) & leq(n0, pv5) & leq(n0, minus(n4, n1)) & leq(n1, minus(n4, n1)) & leq(n2, minus(n4, n1)) & leq(n3, minus(n4, n1)) & leq(pv5, minus(n1000, n1)) & (gt(pv5, n0) | (leq(n0, n0) & leq(n0, n1) & leq(n0, n2) & leq(n0, n3) & leq(n0, n4) & leq(n0, n5) & leq(n0, n6) & leq(n0, n7) & leq(n0, pv5) & leq(n0, minus(n6, n1)) & leq(n1, n7) & leq(n1, minus(n6, n1)) & leq(n2, n7) & leq(n2, minus(n6, n1)) & leq(n3, n7) & leq(n3, minus(n6, n1)) & leq(n4, n7) & leq(n4, minus(n6, n1)) & leq(n5, n7) & leq(n5, minus(n6, n1)) & leq(n6, n7) & leq(n7, n7) & leq(pv5, n588) & leq(pv5, minus(n1000, n1)))) & ((~gt(pv5, n0)) | (leq(n0, n0) & leq(n0, n1) & leq(n0, n2) & leq(n0, n3) & leq(n0, n4) & leq(n0, n5) & leq(n0, n6) & leq(n0, n7) & leq(n0, pv5) & leq(n0, minus(n4, n1)) & leq(n0, minus(n6, n1)) & leq(n1, n7) & leq(n1, minus(n4, n1)) & leq(n1, minus(n6, n1)) & leq(n2, n7) & leq(n2, minus(n4, n1)) & leq(n2, minus(n6, n1)) & leq(n3, n7) & leq(n3, minus(n4, n1)) & leq(n3, minus(n6, n1)) & leq(n4, n7) & leq(n4, minus(n6, n1)) & leq(n5, n7) & leq(n5, minus(n6, n1)) & leq(n6, n7) & leq(n7, n7) & leq(pv5, n588) & leq(pv5, minus(n1000, n1)))))))))))) & (true | (~leq(n0, a_select2(sigma, pv23))) | (~(leq(n0, pv23) & leq(pv23, minus(n6, n1))))) & (true | (~(geq(minus(n4, n1), n0) & geq(minus(n1000, n1), n0))) | (~geq(minus(n6, n1), n0))))),
% 0.70/0.79 inference(modus_ponens,[status(thm)],[408, 407])).
% 0.70/0.79 tff(410,plain,
% 0.70/0.79 (~(leq(n0, n0) & leq(n0, n1) & leq(n0, n2) & leq(n0, n3) & leq(n0, n4) & leq(n0, n5) & leq(n0, n6) & leq(n0, n7) & leq(n0, minus(n4, n1)) & leq(n0, minus(n6, n1)) & leq(n0, minus(n1000, n1)) & leq(n1, n7) & leq(n1, minus(n4, n1)) & leq(n1, minus(n6, n1)) & leq(n2, n7) & leq(n2, minus(n4, n1)) & leq(n2, minus(n6, n1)) & leq(n3, n7) & leq(n3, minus(n4, n1)) & leq(n3, minus(n6, n1)) & leq(n4, n7) & leq(n4, minus(n6, n1)) & leq(n5, n7) & leq(n5, minus(n6, n1)) & leq(n6, n7) & leq(n7, n7) & ((~(leq(n0, pv5) & leq(n0, pv21) & leq(pv5, n588) & leq(pv21, minus(n6, n1)))) | (leq(n0, n0) & leq(n0, pv5) & leq(n0, pv21) & leq(pv5, n588) & leq(pv21, n5) & leq(pv21, minus(n6, n1)))) & ((~(leq(n0, pv5) & leq(n0, pv31) & leq(n0, pv32) & leq(pv5, n588) & leq(pv31, minus(n6, n1)) & leq(pv32, minus(n6, n1)))) | (((pv31 = pv32) | (leq(n0, pv5) & leq(n0, pv31) & leq(n0, pv32) & leq(pv5, n588) & leq(pv31, minus(n6, n1)) & leq(pv32, minus(n6, n1)))) & ((~(pv31 = pv32)) | (leq(n0, pv5) & leq(n0, pv31) & leq(n0, pv32) & leq(pv5, n588) & leq(pv31, minus(n6, n1)) & leq(pv32, minus(n6, n1)))))) & ((~(leq(n0, pv5) & leq(n0, pv31) & leq(pv5, n588) & leq(pv31, minus(n6, n1)))) | (leq(n0, pv5) & leq(pv5, n588))) & ((~(leq(n0, pv5) & leq(pv5, n588))) | (leq(n0, n0) & leq(n0, n1) & leq(n0, n2) & leq(n0, n3) & leq(n0, pv5) & leq(n0, minus(n4, n1)) & leq(n0, minus(n6, n1)) & leq(n1, minus(n4, n1)) & leq(n1, minus(n6, n1)) & leq(n2, minus(n4, n1)) & leq(n2, minus(n6, n1)) & leq(n3, minus(n4, n1)) & leq(pv5, minus(n1000, n1)) & (gt(pv5, n0) | ((gt(pv5, n0) | ((gt(pv5, n0) | ((gt(pv5, n0) | (leq(n0, n0) & leq(n0, n1) & leq(n0, n2) & leq(n0, n3) & leq(n0, n4) & leq(n0, n5) & leq(n0, n6) & leq(n0, n7) & leq(n0, pv5) & leq(n0, minus(n6, n1)) & leq(n1, n7) & leq(n1, minus(n6, n1)) & leq(n2, n7) & leq(n2, minus(n6, n1)) & leq(n3, n7) & leq(n3, minus(n6, n1)) & leq(n4, n7) & leq(n4, minus(n6, n1)) & leq(n5, n7) & leq(n5, minus(n6, n1)) & leq(n6, n7) & leq(n7, n7) & leq(pv5, n588) & leq(pv5, minus(n1000, n1)))) & ((~gt(pv5, n0)) | (leq(n0, n0) & leq(n0, n1) & leq(n0, n2) & leq(n0, n3) & leq(n0, n4) & leq(n0, n5) & leq(n0, n6) & leq(n0, n7) & leq(n0, pv5) & leq(n0, minus(n4, n1)) & leq(n0, minus(n6, n1)) & leq(n1, n7) & leq(n1, minus(n4, n1)) & leq(n1, minus(n6, n1)) & leq(n2, n7) & leq(n2, minus(n4, n1)) & leq(n2, minus(n6, n1)) & leq(n3, n7) & leq(n3, minus(n4, n1)) & leq(n3, minus(n6, n1)) & leq(n4, n7) & leq(n4, minus(n6, n1)) & leq(n5, n7) & leq(n5, minus(n6, n1)) & leq(n6, n7) & leq(n7, n7) & leq(pv5, n588) & leq(pv5, minus(n1000, n1)))))) & ((~gt(pv5, n0)) | (leq(n0, n0) & leq(n0, n1) & leq(n0, n2) & leq(n0, n3) & leq(n0, pv5) & leq(n0, minus(n4, n1)) & leq(n1, minus(n4, n1)) & leq(n2, minus(n4, n1)) & leq(n3, minus(n4, n1)) & leq(pv5, minus(n1000, n1)) & (gt(pv5, n0) | (leq(n0, n0) & leq(n0, n1) & leq(n0, n2) & leq(n0, n3) & leq(n0, n4) & leq(n0, n5) & leq(n0, n6) & leq(n0, n7) & leq(n0, pv5) & leq(n0, minus(n6, n1)) & leq(n1, n7) & leq(n1, minus(n6, n1)) & leq(n2, n7) & leq(n2, minus(n6, n1)) & leq(n3, n7) & leq(n3, minus(n6, n1)) & leq(n4, n7) & leq(n4, minus(n6, n1)) & leq(n5, n7) & leq(n5, minus(n6, n1)) & leq(n6, n7) & leq(n7, n7) & leq(pv5, n588) & leq(pv5, minus(n1000, n1)))) & ((~gt(pv5, n0)) | (leq(n0, n0) & leq(n0, n1) & leq(n0, n2) & leq(n0, n3) & leq(n0, n4) & leq(n0, n5) & leq(n0, n6) & leq(n0, n7) & leq(n0, pv5) & leq(n0, minus(n4, n1)) & leq(n0, minus(n6, n1)) & leq(n1, n7) & leq(n1, minus(n4, n1)) & leq(n1, minus(n6, n1)) & leq(n2, n7) & leq(n2, minus(n4, n1)) & leq(n2, minus(n6, n1)) & leq(n3, n7) & leq(n3, minus(n4, n1)) & leq(n3, minus(n6, n1)) & leq(n4, n7) & leq(n4, minus(n6, n1)) & leq(n5, n7) & leq(n5, minus(n6, n1)) & leq(n6, n7) & leq(n7, n7) & leq(pv5, n588) & leq(pv5, minus(n1000, n1)))))))) & ((~gt(pv5, n0)) | (leq(n0, n0) & leq(n0, n1) & leq(n0, n2) & leq(n0, n3) & leq(n0, n4) & leq(n0, n5) & leq(n0, n6) & leq(n0, n7) & leq(n0, pv5) & leq(n0, minus(n6, n1)) & leq(n1, n7) & leq(n2, n7) & leq(n3, n7) & leq(n3, minus(n6, n1)) & leq(n4, n7) & leq(n5, n7) & leq(n6, n7) & leq(n7, n7) & leq(pv5, minus(n1000, n1)) & (gt(pv5, n0) | ((gt(pv5, n0) | (leq(n0, n0) & leq(n0, n1) & leq(n0, n2) & leq(n0, n3) & leq(n0, n4) & leq(n0, n5) & leq(n0, n6) & leq(n0, n7) & leq(n0, pv5) & leq(n0, minus(n6, n1)) & leq(n1, n7) & leq(n1, minus(n6, n1)) & leq(n2, n7) & leq(n2, minus(n6, n1)) & leq(n3, n7) & leq(n3, minus(n6, n1)) & leq(n4, n7) & leq(n4, minus(n6, n1)) & leq(n5, n7) & leq(n5, minus(n6, n1)) & leq(n6, n7) & leq(n7, n7) & leq(pv5, n588) & leq(pv5, minus(n1000, n1)))) & ((~gt(pv5, n0)) | (leq(n0, n0) & leq(n0, n1) & leq(n0, n2) & leq(n0, n3) & leq(n0, n4) & leq(n0, n5) & leq(n0, n6) & leq(n0, n7) & leq(n0, pv5) & leq(n0, minus(n4, n1)) & leq(n0, minus(n6, n1)) & leq(n1, n7) & leq(n1, minus(n4, n1)) & leq(n1, minus(n6, n1)) & leq(n2, n7) & leq(n2, minus(n4, n1)) & leq(n2, minus(n6, n1)) & leq(n3, n7) & leq(n3, minus(n4, n1)) & leq(n3, minus(n6, n1)) & leq(n4, n7) & leq(n4, minus(n6, n1)) & leq(n5, n7) & leq(n5, minus(n6, n1)) & leq(n6, n7) & leq(n7, n7) & leq(pv5, n588) & leq(pv5, minus(n1000, n1)))))) & ((~gt(pv5, n0)) | (leq(n0, n0) & leq(n0, n1) & leq(n0, n2) & leq(n0, n3) & leq(n0, pv5) & leq(n0, minus(n4, n1)) & leq(n1, minus(n4, n1)) & leq(n2, minus(n4, n1)) & leq(n3, minus(n4, n1)) & leq(pv5, minus(n1000, n1)) & (gt(pv5, n0) | (leq(n0, n0) & leq(n0, n1) & leq(n0, n2) & leq(n0, n3) & leq(n0, n4) & leq(n0, n5) & leq(n0, n6) & leq(n0, n7) & leq(n0, pv5) & leq(n0, minus(n6, n1)) & leq(n1, n7) & leq(n1, minus(n6, n1)) & leq(n2, n7) & leq(n2, minus(n6, n1)) & leq(n3, n7) & leq(n3, minus(n6, n1)) & leq(n4, n7) & leq(n4, minus(n6, n1)) & leq(n5, n7) & leq(n5, minus(n6, n1)) & leq(n6, n7) & leq(n7, n7) & leq(pv5, n588) & leq(pv5, minus(n1000, n1)))) & ((~gt(pv5, n0)) | (leq(n0, n0) & leq(n0, n1) & leq(n0, n2) & leq(n0, n3) & leq(n0, n4) & leq(n0, n5) & leq(n0, n6) & leq(n0, n7) & leq(n0, pv5) & leq(n0, minus(n4, n1)) & leq(n0, minus(n6, n1)) & leq(n1, n7) & leq(n1, minus(n4, n1)) & leq(n1, minus(n6, n1)) & leq(n2, n7) & leq(n2, minus(n4, n1)) & leq(n2, minus(n6, n1)) & leq(n3, n7) & leq(n3, minus(n4, n1)) & leq(n3, minus(n6, n1)) & leq(n4, n7) & leq(n4, minus(n6, n1)) & leq(n5, n7) & leq(n5, minus(n6, n1)) & leq(n6, n7) & leq(n7, n7) & leq(pv5, n588) & leq(pv5, minus(n1000, n1)))))))))) & ((~gt(pv5, n0)) | (leq(n0, n0) & leq(n0, n1) & leq(n0, n2) & leq(n0, n3) & leq(n0, n4) & leq(n0, n5) & leq(n0, n6) & leq(n0, n7) & leq(n0, pv5) & leq(n0, minus(n6, n1)) & leq(n1, n7) & leq(n1, minus(n6, n1)) & leq(n2, n7) & leq(n2, minus(n6, n1)) & leq(n3, n7) & leq(n4, n7) & leq(n4, minus(n6, n1)) & leq(n5, n7) & leq(n5, minus(n6, n1)) & leq(n6, n7) & leq(n7, n7) & leq(pv5, minus(n1000, n1)) & (gt(pv5, n0) | ((gt(pv5, n0) | ((gt(pv5, n0) | (leq(n0, n0) & leq(n0, n1) & leq(n0, n2) & leq(n0, n3) & leq(n0, n4) & leq(n0, n5) & leq(n0, n6) & leq(n0, n7) & leq(n0, pv5) & leq(n0, minus(n6, n1)) & leq(n1, n7) & leq(n1, minus(n6, n1)) & leq(n2, n7) & leq(n2, minus(n6, n1)) & leq(n3, n7) & leq(n3, minus(n6, n1)) & leq(n4, n7) & leq(n4, minus(n6, n1)) & leq(n5, n7) & leq(n5, minus(n6, n1)) & leq(n6, n7) & leq(n7, n7) & leq(pv5, n588) & leq(pv5, minus(n1000, n1)))) & ((~gt(pv5, n0)) | (leq(n0, n0) & leq(n0, n1) & leq(n0, n2) & leq(n0, n3) & leq(n0, n4) & leq(n0, n5) & leq(n0, n6) & leq(n0, n7) & leq(n0, pv5) & leq(n0, minus(n4, n1)) & leq(n0, minus(n6, n1)) & leq(n1, n7) & leq(n1, minus(n4, n1)) & leq(n1, minus(n6, n1)) & leq(n2, n7) & leq(n2, minus(n4, n1)) & leq(n2, minus(n6, n1)) & leq(n3, n7) & leq(n3, minus(n4, n1)) & leq(n3, minus(n6, n1)) & leq(n4, n7) & leq(n4, minus(n6, n1)) & leq(n5, n7) & leq(n5, minus(n6, n1)) & leq(n6, n7) & leq(n7, n7) & leq(pv5, n588) & leq(pv5, minus(n1000, n1)))))) & ((~gt(pv5, n0)) | (leq(n0, n0) & leq(n0, n1) & leq(n0, n2) & leq(n0, n3) & leq(n0, pv5) & leq(n0, minus(n4, n1)) & leq(n1, minus(n4, n1)) & leq(n2, minus(n4, n1)) & leq(n3, minus(n4, n1)) & leq(pv5, minus(n1000, n1)) & (gt(pv5, n0) | (leq(n0, n0) & leq(n0, n1) & leq(n0, n2) & leq(n0, n3) & leq(n0, n4) & leq(n0, n5) & leq(n0, n6) & leq(n0, n7) & leq(n0, pv5) & leq(n0, minus(n6, n1)) & leq(n1, n7) & leq(n1, minus(n6, n1)) & leq(n2, n7) & leq(n2, minus(n6, n1)) & leq(n3, n7) & leq(n3, minus(n6, n1)) & leq(n4, n7) & leq(n4, minus(n6, n1)) & leq(n5, n7) & leq(n5, minus(n6, n1)) & leq(n6, n7) & leq(n7, n7) & leq(pv5, n588) & leq(pv5, minus(n1000, n1)))) & ((~gt(pv5, n0)) | (leq(n0, n0) & leq(n0, n1) & leq(n0, n2) & leq(n0, n3) & leq(n0, n4) & leq(n0, n5) & leq(n0, n6) & leq(n0, n7) & leq(n0, pv5) & leq(n0, minus(n4, n1)) & leq(n0, minus(n6, n1)) & leq(n1, n7) & leq(n1, minus(n4, n1)) & leq(n1, minus(n6, n1)) & leq(n2, n7) & leq(n2, minus(n4, n1)) & leq(n2, minus(n6, n1)) & leq(n3, n7) & leq(n3, minus(n4, n1)) & leq(n3, minus(n6, n1)) & leq(n4, n7) & leq(n4, minus(n6, n1)) & leq(n5, n7) & leq(n5, minus(n6, n1)) & leq(n6, n7) & leq(n7, n7) & leq(pv5, n588) & leq(pv5, minus(n1000, n1)))))))) & ((~gt(pv5, n0)) | (leq(n0, n0) & leq(n0, n1) & leq(n0, n2) & leq(n0, n3) & leq(n0, n4) & leq(n0, n5) & leq(n0, n6) & leq(n0, n7) & leq(n0, pv5) & leq(n0, minus(n6, n1)) & leq(n1, n7) & leq(n2, n7) & leq(n3, n7) & leq(n3, minus(n6, n1)) & leq(n4, n7) & leq(n5, n7) & leq(n6, n7) & leq(n7, n7) & leq(pv5, minus(n1000, n1)) & (gt(pv5, n0) | ((gt(pv5, n0) | (leq(n0, n0) & leq(n0, n1) & leq(n0, n2) & leq(n0, n3) & leq(n0, n4) & leq(n0, n5) & leq(n0, n6) & leq(n0, n7) & leq(n0, pv5) & leq(n0, minus(n6, n1)) & leq(n1, n7) & leq(n1, minus(n6, n1)) & leq(n2, n7) & leq(n2, minus(n6, n1)) & leq(n3, n7) & leq(n3, minus(n6, n1)) & leq(n4, n7) & leq(n4, minus(n6, n1)) & leq(n5, n7) & leq(n5, minus(n6, n1)) & leq(n6, n7) & leq(n7, n7) & leq(pv5, n588) & leq(pv5, minus(n1000, n1)))) & ((~gt(pv5, n0)) | (leq(n0, n0) & leq(n0, n1) & leq(n0, n2) & leq(n0, n3) & leq(n0, n4) & leq(n0, n5) & leq(n0, n6) & leq(n0, n7) & leq(n0, pv5) & leq(n0, minus(n4, n1)) & leq(n0, minus(n6, n1)) & leq(n1, n7) & leq(n1, minus(n4, n1)) & leq(n1, minus(n6, n1)) & leq(n2, n7) & leq(n2, minus(n4, n1)) & leq(n2, minus(n6, n1)) & leq(n3, n7) & leq(n3, minus(n4, n1)) & leq(n3, minus(n6, n1)) & leq(n4, n7) & leq(n4, minus(n6, n1)) & leq(n5, n7) & leq(n5, minus(n6, n1)) & leq(n6, n7) & leq(n7, n7) & leq(pv5, n588) & leq(pv5, minus(n1000, n1)))))) & ((~gt(pv5, n0)) | (leq(n0, n0) & leq(n0, n1) & leq(n0, n2) & leq(n0, n3) & leq(n0, pv5) & leq(n0, minus(n4, n1)) & leq(n1, minus(n4, n1)) & leq(n2, minus(n4, n1)) & leq(n3, minus(n4, n1)) & leq(pv5, minus(n1000, n1)) & (gt(pv5, n0) | (leq(n0, n0) & leq(n0, n1) & leq(n0, n2) & leq(n0, n3) & leq(n0, n4) & leq(n0, n5) & leq(n0, n6) & leq(n0, n7) & leq(n0, pv5) & leq(n0, minus(n6, n1)) & leq(n1, n7) & leq(n1, minus(n6, n1)) & leq(n2, n7) & leq(n2, minus(n6, n1)) & leq(n3, n7) & leq(n3, minus(n6, n1)) & leq(n4, n7) & leq(n4, minus(n6, n1)) & leq(n5, n7) & leq(n5, minus(n6, n1)) & leq(n6, n7) & leq(n7, n7) & leq(pv5, n588) & leq(pv5, minus(n1000, n1)))) & ((~gt(pv5, n0)) | (leq(n0, n0) & leq(n0, n1) & leq(n0, n2) & leq(n0, n3) & leq(n0, n4) & leq(n0, n5) & leq(n0, n6) & leq(n0, n7) & leq(n0, pv5) & leq(n0, minus(n4, n1)) & leq(n0, minus(n6, n1)) & leq(n1, n7) & leq(n1, minus(n4, n1)) & leq(n1, minus(n6, n1)) & leq(n2, n7) & leq(n2, minus(n4, n1)) & leq(n2, minus(n6, n1)) & leq(n3, n7) & leq(n3, minus(n4, n1)) & leq(n3, minus(n6, n1)) & leq(n4, n7) & leq(n4, minus(n6, n1)) & leq(n5, n7) & leq(n5, minus(n6, n1)) & leq(n6, n7) & leq(n7, n7) & leq(pv5, n588) & leq(pv5, minus(n1000, n1)))))))))))))),
% 0.70/0.81 inference(modus_ponens,[status(thm)],[409, 405])).
% 0.70/0.81 tff(411,plain,
% 0.70/0.81 (~(leq(n0, n0) & leq(n0, n1) & leq(n0, n2) & leq(n0, n3) & leq(n0, n4) & leq(n0, n5) & leq(n0, n6) & leq(n0, n7) & leq(n0, minus(n4, n1)) & leq(n0, minus(n6, n1)) & leq(n0, minus(n1000, n1)) & leq(n1, n7) & leq(n1, minus(n4, n1)) & leq(n1, minus(n6, n1)) & leq(n2, n7) & leq(n2, minus(n4, n1)) & leq(n2, minus(n6, n1)) & leq(n3, n7) & leq(n3, minus(n4, n1)) & leq(n3, minus(n6, n1)) & leq(n4, n7) & leq(n4, minus(n6, n1)) & leq(n5, n7) & leq(n5, minus(n6, n1)) & leq(n6, n7) & leq(n7, n7) & ((~(leq(n0, pv5) & leq(n0, pv21) & leq(pv5, n588) & leq(pv21, minus(n6, n1)))) | (leq(n0, pv5) & leq(n0, pv21) & leq(pv5, n588) & leq(pv21, n5) & leq(pv21, minus(n6, n1)))) & ((~(leq(n0, pv5) & leq(n0, pv31) & leq(pv5, n588) & leq(pv31, minus(n6, n1)))) | (leq(n0, pv5) & leq(pv5, n588))) & ((~(leq(n0, pv5) & leq(pv5, n588))) | (leq(n0, pv5) & leq(pv5, minus(n1000, n1)) & (gt(pv5, n0) | leq(pv5, n588)) & ((~gt(pv5, n0)) | leq(pv5, n588)))))),
% 0.70/0.81 inference(modus_ponens,[status(thm)],[410, 404])).
% 0.70/0.81 tff(412,plain,
% 0.70/0.81 (~(leq(succ(tptp_minus_1), succ(tptp_minus_1)) & leq(succ(tptp_minus_1), succ(succ(tptp_minus_1))) & leq(succ(tptp_minus_1), succ(succ(succ(tptp_minus_1)))) & leq(succ(tptp_minus_1), succ(succ(succ(succ(tptp_minus_1))))) & leq(succ(tptp_minus_1), succ(succ(succ(succ(succ(tptp_minus_1)))))) & leq(succ(tptp_minus_1), succ(succ(succ(succ(succ(succ(tptp_minus_1))))))) & leq(succ(tptp_minus_1), succ(succ(succ(succ(succ(succ(succ(tptp_minus_1)))))))) & leq(succ(tptp_minus_1), n7) & leq(succ(tptp_minus_1), minus(succ(succ(succ(succ(succ(tptp_minus_1))))), succ(succ(tptp_minus_1)))) & leq(succ(tptp_minus_1), minus(succ(succ(succ(succ(succ(succ(succ(tptp_minus_1))))))), succ(succ(tptp_minus_1)))) & leq(succ(tptp_minus_1), minus(n1000, succ(succ(tptp_minus_1)))) & leq(succ(succ(tptp_minus_1)), n7) & leq(succ(succ(tptp_minus_1)), minus(succ(succ(succ(succ(succ(tptp_minus_1))))), succ(succ(tptp_minus_1)))) & leq(succ(succ(tptp_minus_1)), minus(succ(succ(succ(succ(succ(succ(succ(tptp_minus_1))))))), succ(succ(tptp_minus_1)))) & leq(succ(succ(succ(tptp_minus_1))), n7) & leq(succ(succ(succ(tptp_minus_1))), minus(succ(succ(succ(succ(succ(tptp_minus_1))))), succ(succ(tptp_minus_1)))) & leq(succ(succ(succ(tptp_minus_1))), minus(succ(succ(succ(succ(succ(succ(succ(tptp_minus_1))))))), succ(succ(tptp_minus_1)))) & leq(succ(succ(succ(succ(tptp_minus_1)))), n7) & leq(succ(succ(succ(succ(tptp_minus_1)))), minus(succ(succ(succ(succ(succ(tptp_minus_1))))), succ(succ(tptp_minus_1)))) & leq(succ(succ(succ(succ(tptp_minus_1)))), minus(succ(succ(succ(succ(succ(succ(succ(tptp_minus_1))))))), succ(succ(tptp_minus_1)))) & leq(succ(succ(succ(succ(succ(tptp_minus_1))))), n7) & leq(succ(succ(succ(succ(succ(tptp_minus_1))))), minus(succ(succ(succ(succ(succ(succ(succ(tptp_minus_1))))))), succ(succ(tptp_minus_1)))) & leq(succ(succ(succ(succ(succ(succ(tptp_minus_1)))))), n7) & leq(succ(succ(succ(succ(succ(succ(tptp_minus_1)))))), minus(succ(succ(succ(succ(succ(succ(succ(tptp_minus_1))))))), succ(succ(tptp_minus_1)))) & leq(succ(succ(succ(succ(succ(succ(succ(tptp_minus_1))))))), n7) & leq(n7, n7) & ((~(leq(succ(tptp_minus_1), pv5) & leq(succ(tptp_minus_1), pv21) & leq(pv5, n588) & leq(pv21, minus(succ(succ(succ(succ(succ(succ(succ(tptp_minus_1))))))), succ(succ(tptp_minus_1)))))) | (leq(succ(tptp_minus_1), pv5) & leq(succ(tptp_minus_1), pv21) & leq(pv5, n588) & leq(pv21, succ(succ(succ(succ(succ(succ(tptp_minus_1))))))) & leq(pv21, minus(succ(succ(succ(succ(succ(succ(succ(tptp_minus_1))))))), succ(succ(tptp_minus_1)))))) & ((~(leq(succ(tptp_minus_1), pv5) & leq(succ(tptp_minus_1), pv31) & leq(pv5, n588) & leq(pv31, minus(succ(succ(succ(succ(succ(succ(succ(tptp_minus_1))))))), succ(succ(tptp_minus_1)))))) | (leq(succ(tptp_minus_1), pv5) & leq(pv5, n588))) & ((~(leq(succ(tptp_minus_1), pv5) & leq(pv5, n588))) | (leq(succ(tptp_minus_1), pv5) & leq(pv5, minus(n1000, succ(succ(tptp_minus_1)))) & (leq(pv5, n588) | gt(pv5, succ(tptp_minus_1))) & ((~gt(pv5, succ(tptp_minus_1))) | leq(pv5, n588)))))),
% 0.70/0.81 inference(modus_ponens,[status(thm)],[411, 403])).
% 0.70/0.81 tff(413,plain,
% 0.70/0.81 ((~leq(succ(tptp_minus_1), succ(tptp_minus_1))) | (~leq(succ(tptp_minus_1), succ(succ(tptp_minus_1)))) | (~leq(succ(tptp_minus_1), succ(succ(succ(tptp_minus_1))))) | (~leq(succ(tptp_minus_1), succ(succ(succ(succ(tptp_minus_1)))))) | (~leq(succ(tptp_minus_1), succ(succ(succ(succ(succ(tptp_minus_1))))))) | (~leq(succ(tptp_minus_1), succ(succ(succ(succ(succ(succ(tptp_minus_1)))))))) | (~leq(succ(tptp_minus_1), succ(succ(succ(succ(succ(succ(succ(tptp_minus_1))))))))) | (~leq(succ(tptp_minus_1), n7)) | (~leq(succ(tptp_minus_1), minus(succ(succ(succ(succ(succ(tptp_minus_1))))), succ(succ(tptp_minus_1))))) | (~leq(succ(tptp_minus_1), minus(succ(succ(succ(succ(succ(succ(succ(tptp_minus_1))))))), succ(succ(tptp_minus_1))))) | (~leq(succ(tptp_minus_1), minus(n1000, succ(succ(tptp_minus_1))))) | (~leq(succ(succ(tptp_minus_1)), n7)) | (~leq(succ(succ(tptp_minus_1)), minus(succ(succ(succ(succ(succ(tptp_minus_1))))), succ(succ(tptp_minus_1))))) | (~leq(succ(succ(tptp_minus_1)), minus(succ(succ(succ(succ(succ(succ(succ(tptp_minus_1))))))), succ(succ(tptp_minus_1))))) | (~leq(succ(succ(succ(tptp_minus_1))), n7)) | (~leq(succ(succ(succ(tptp_minus_1))), minus(succ(succ(succ(succ(succ(tptp_minus_1))))), succ(succ(tptp_minus_1))))) | (~leq(succ(succ(succ(tptp_minus_1))), minus(succ(succ(succ(succ(succ(succ(succ(tptp_minus_1))))))), succ(succ(tptp_minus_1))))) | (~leq(succ(succ(succ(succ(tptp_minus_1)))), n7)) | (~leq(succ(succ(succ(succ(tptp_minus_1)))), minus(succ(succ(succ(succ(succ(tptp_minus_1))))), succ(succ(tptp_minus_1))))) | (~leq(succ(succ(succ(succ(tptp_minus_1)))), minus(succ(succ(succ(succ(succ(succ(succ(tptp_minus_1))))))), succ(succ(tptp_minus_1))))) | (~leq(succ(succ(succ(succ(succ(tptp_minus_1))))), n7)) | (~leq(succ(succ(succ(succ(succ(tptp_minus_1))))), minus(succ(succ(succ(succ(succ(succ(succ(tptp_minus_1))))))), succ(succ(tptp_minus_1))))) | (~leq(succ(succ(succ(succ(succ(succ(tptp_minus_1)))))), n7)) | (~leq(succ(succ(succ(succ(succ(succ(tptp_minus_1)))))), minus(succ(succ(succ(succ(succ(succ(succ(tptp_minus_1))))))), succ(succ(tptp_minus_1))))) | (~leq(succ(succ(succ(succ(succ(succ(succ(tptp_minus_1))))))), n7)) | (~leq(n7, n7)) | (~((~leq(succ(tptp_minus_1), pv5)) | (~leq(succ(tptp_minus_1), pv21)) | (~leq(pv5, n588)) | (~leq(pv21, minus(succ(succ(succ(succ(succ(succ(succ(tptp_minus_1))))))), succ(succ(tptp_minus_1))))) | (~((~leq(succ(tptp_minus_1), pv5)) | (~leq(succ(tptp_minus_1), pv21)) | (~leq(pv5, n588)) | (~leq(pv21, minus(succ(succ(succ(succ(succ(succ(succ(tptp_minus_1))))))), succ(succ(tptp_minus_1))))) | (~leq(pv21, succ(succ(succ(succ(succ(succ(tptp_minus_1)))))))))))) | (~((~leq(succ(tptp_minus_1), pv5)) | (~leq(pv5, n588)) | (~leq(succ(tptp_minus_1), pv31)) | (~leq(pv31, minus(succ(succ(succ(succ(succ(succ(succ(tptp_minus_1))))))), succ(succ(tptp_minus_1))))) | (~((~leq(succ(tptp_minus_1), pv5)) | (~leq(pv5, n588)))))) | (~((~leq(succ(tptp_minus_1), pv5)) | (~leq(pv5, n588)) | (~((~leq(succ(tptp_minus_1), pv5)) | (~leq(pv5, minus(n1000, succ(succ(tptp_minus_1))))) | (~(leq(pv5, n588) | gt(pv5, succ(tptp_minus_1)))) | (~((~gt(pv5, succ(tptp_minus_1))) | leq(pv5, n588)))))))),
% 0.70/0.81 inference(modus_ponens,[status(thm)],[412, 402])).
% 0.70/0.81 tff(414,plain,
% 0.70/0.81 ((~((~leq(succ(tptp_minus_1), pv5)) | (~leq(succ(tptp_minus_1), pv21)) | (~leq(pv5, n588)) | (~leq(pv21, minus(succ(succ(succ(succ(succ(succ(succ(tptp_minus_1))))))), succ(succ(tptp_minus_1))))) | (~((~leq(succ(tptp_minus_1), pv5)) | (~leq(succ(tptp_minus_1), pv21)) | (~leq(pv5, n588)) | (~leq(pv21, minus(succ(succ(succ(succ(succ(succ(succ(tptp_minus_1))))))), succ(succ(tptp_minus_1))))) | (~leq(pv21, succ(succ(succ(succ(succ(succ(tptp_minus_1)))))))))))) | (~((~leq(succ(tptp_minus_1), pv5)) | (~leq(pv5, n588)) | (~leq(succ(tptp_minus_1), pv31)) | (~leq(pv31, minus(succ(succ(succ(succ(succ(succ(succ(tptp_minus_1))))))), succ(succ(tptp_minus_1))))) | (~((~leq(succ(tptp_minus_1), pv5)) | (~leq(pv5, n588)))))) | (~((~leq(succ(tptp_minus_1), pv5)) | (~leq(pv5, n588)) | (~((~leq(succ(tptp_minus_1), pv5)) | (~leq(pv5, minus(n1000, succ(succ(tptp_minus_1))))) | (~(leq(pv5, n588) | gt(pv5, succ(tptp_minus_1)))) | (~((~gt(pv5, succ(tptp_minus_1))) | leq(pv5, n588)))))))),
% 0.70/0.81 inference(unit_resolution,[status(thm)],[413, 373, 364, 355, 137, 346, 337, 328, 324, 314, 304, 295, 274, 262, 253, 241, 229, 220, 202, 190, 181, 169, 160, 147, 138, 126, 104])).
% 0.70/0.81 tff(415,plain,
% 0.70/0.81 ($false),
% 0.70/0.81 inference(unit_resolution,[status(thm)],[414, 83, 81, 78])).
% 0.70/0.81 tff(416,plain,(leq(pv5, n588)), inference(lemma,lemma(discharge,[]))).
% 0.70/0.81 tff(417,assumption,(~((~leq(succ(tptp_minus_1), pv5)) | (~leq(pv5, n588)) | (~leq(succ(tptp_minus_1), pv31)) | (~leq(pv31, minus(succ(succ(succ(succ(succ(succ(succ(tptp_minus_1))))))), succ(succ(tptp_minus_1))))) | (~((~leq(succ(tptp_minus_1), pv5)) | (~leq(pv5, n588)))))), introduced(assumption)).
% 0.70/0.81 tff(418,plain,
% 0.70/0.81 (((~leq(succ(tptp_minus_1), pv5)) | (~leq(pv5, n588)) | (~leq(succ(tptp_minus_1), pv31)) | (~leq(pv31, minus(succ(succ(succ(succ(succ(succ(succ(tptp_minus_1))))))), succ(succ(tptp_minus_1))))) | (~((~leq(succ(tptp_minus_1), pv5)) | (~leq(pv5, n588))))) | leq(succ(tptp_minus_1), pv5)),
% 0.70/0.81 inference(tautology,[status(thm)],[])).
% 0.70/0.81 tff(419,plain,
% 0.70/0.81 (leq(succ(tptp_minus_1), pv5)),
% 0.70/0.81 inference(unit_resolution,[status(thm)],[418, 417])).
% 0.70/0.81 tff(420,plain,
% 0.70/0.81 (((~leq(succ(tptp_minus_1), pv5)) | (~leq(pv5, n588)) | (~leq(succ(tptp_minus_1), pv31)) | (~leq(pv31, minus(succ(succ(succ(succ(succ(succ(succ(tptp_minus_1))))))), succ(succ(tptp_minus_1))))) | (~((~leq(succ(tptp_minus_1), pv5)) | (~leq(pv5, n588))))) | ((~leq(succ(tptp_minus_1), pv5)) | (~leq(pv5, n588)))),
% 0.70/0.81 inference(tautology,[status(thm)],[])).
% 0.70/0.81 tff(421,plain,
% 0.70/0.81 ((~leq(succ(tptp_minus_1), pv5)) | (~leq(pv5, n588))),
% 0.70/0.81 inference(unit_resolution,[status(thm)],[420, 417])).
% 0.70/0.81 tff(422,plain,
% 0.70/0.81 ((~((~leq(succ(tptp_minus_1), pv5)) | (~leq(pv5, n588)))) | (~leq(succ(tptp_minus_1), pv5)) | (~leq(pv5, n588))),
% 0.70/0.81 inference(tautology,[status(thm)],[])).
% 0.70/0.81 tff(423,plain,
% 0.70/0.81 ($false),
% 0.70/0.81 inference(unit_resolution,[status(thm)],[422, 421, 419, 416])).
% 0.70/0.81 tff(424,plain,((~leq(succ(tptp_minus_1), pv5)) | (~leq(pv5, n588)) | (~leq(succ(tptp_minus_1), pv31)) | (~leq(pv31, minus(succ(succ(succ(succ(succ(succ(succ(tptp_minus_1))))))), succ(succ(tptp_minus_1))))) | (~((~leq(succ(tptp_minus_1), pv5)) | (~leq(pv5, n588))))), inference(lemma,lemma(discharge,[]))).
% 0.70/0.81 tff(425,plain,
% 0.70/0.81 (~((~leq(succ(tptp_minus_1), pv5)) | (~leq(succ(tptp_minus_1), pv21)) | (~leq(pv5, n588)) | (~leq(pv21, minus(succ(succ(succ(succ(succ(succ(succ(tptp_minus_1))))))), succ(succ(tptp_minus_1))))) | (~((~leq(succ(tptp_minus_1), pv5)) | (~leq(succ(tptp_minus_1), pv21)) | (~leq(pv5, n588)) | (~leq(pv21, minus(succ(succ(succ(succ(succ(succ(succ(tptp_minus_1))))))), succ(succ(tptp_minus_1))))) | (~leq(pv21, succ(succ(succ(succ(succ(succ(tptp_minus_1)))))))))))),
% 0.70/0.81 inference(unit_resolution,[status(thm)],[414, 424, 78])).
% 0.70/0.81 tff(426,plain,
% 0.70/0.81 (((~leq(succ(tptp_minus_1), pv5)) | (~leq(succ(tptp_minus_1), pv21)) | (~leq(pv5, n588)) | (~leq(pv21, minus(succ(succ(succ(succ(succ(succ(succ(tptp_minus_1))))))), succ(succ(tptp_minus_1))))) | (~((~leq(succ(tptp_minus_1), pv5)) | (~leq(succ(tptp_minus_1), pv21)) | (~leq(pv5, n588)) | (~leq(pv21, minus(succ(succ(succ(succ(succ(succ(succ(tptp_minus_1))))))), succ(succ(tptp_minus_1))))) | (~leq(pv21, succ(succ(succ(succ(succ(succ(tptp_minus_1))))))))))) | leq(pv21, minus(succ(succ(succ(succ(succ(succ(succ(tptp_minus_1))))))), succ(succ(tptp_minus_1))))),
% 0.70/0.83 inference(tautology,[status(thm)],[])).
% 0.70/0.83 tff(427,plain,
% 0.70/0.83 (leq(pv21, minus(succ(succ(succ(succ(succ(succ(succ(tptp_minus_1))))))), succ(succ(tptp_minus_1))))),
% 0.70/0.83 inference(unit_resolution,[status(thm)],[426, 425])).
% 0.70/0.83 tff(428,plain,
% 0.70/0.83 (leq(pv21, succ(succ(succ(succ(succ(succ(tptp_minus_1)))))))),
% 0.70/0.83 inference(modus_ponens,[status(thm)],[427, 22])).
% 0.70/0.83 tff(429,plain,
% 0.70/0.83 (((~leq(succ(tptp_minus_1), pv5)) | (~leq(succ(tptp_minus_1), pv21)) | (~leq(pv5, n588)) | (~leq(pv21, minus(succ(succ(succ(succ(succ(succ(succ(tptp_minus_1))))))), succ(succ(tptp_minus_1))))) | (~((~leq(succ(tptp_minus_1), pv5)) | (~leq(succ(tptp_minus_1), pv21)) | (~leq(pv5, n588)) | (~leq(pv21, minus(succ(succ(succ(succ(succ(succ(succ(tptp_minus_1))))))), succ(succ(tptp_minus_1))))) | (~leq(pv21, succ(succ(succ(succ(succ(succ(tptp_minus_1))))))))))) | ((~leq(succ(tptp_minus_1), pv5)) | (~leq(succ(tptp_minus_1), pv21)) | (~leq(pv5, n588)) | (~leq(pv21, minus(succ(succ(succ(succ(succ(succ(succ(tptp_minus_1))))))), succ(succ(tptp_minus_1))))) | (~leq(pv21, succ(succ(succ(succ(succ(succ(tptp_minus_1)))))))))),
% 0.70/0.83 inference(tautology,[status(thm)],[])).
% 0.70/0.83 tff(430,plain,
% 0.70/0.83 ((~leq(succ(tptp_minus_1), pv5)) | (~leq(succ(tptp_minus_1), pv21)) | (~leq(pv5, n588)) | (~leq(pv21, minus(succ(succ(succ(succ(succ(succ(succ(tptp_minus_1))))))), succ(succ(tptp_minus_1))))) | (~leq(pv21, succ(succ(succ(succ(succ(succ(tptp_minus_1))))))))),
% 0.70/0.83 inference(unit_resolution,[status(thm)],[429, 425])).
% 0.70/0.83 tff(431,plain,
% 0.70/0.83 (((~leq(succ(tptp_minus_1), pv5)) | (~leq(succ(tptp_minus_1), pv21)) | (~leq(pv5, n588)) | (~leq(pv21, minus(succ(succ(succ(succ(succ(succ(succ(tptp_minus_1))))))), succ(succ(tptp_minus_1))))) | (~((~leq(succ(tptp_minus_1), pv5)) | (~leq(succ(tptp_minus_1), pv21)) | (~leq(pv5, n588)) | (~leq(pv21, minus(succ(succ(succ(succ(succ(succ(succ(tptp_minus_1))))))), succ(succ(tptp_minus_1))))) | (~leq(pv21, succ(succ(succ(succ(succ(succ(tptp_minus_1))))))))))) | leq(succ(tptp_minus_1), pv21)),
% 0.70/0.83 inference(tautology,[status(thm)],[])).
% 0.70/0.83 tff(432,plain,
% 0.70/0.83 (leq(succ(tptp_minus_1), pv21)),
% 0.70/0.83 inference(unit_resolution,[status(thm)],[431, 425])).
% 0.70/0.83 tff(433,plain,
% 0.70/0.83 (((~leq(succ(tptp_minus_1), pv5)) | (~leq(succ(tptp_minus_1), pv21)) | (~leq(pv5, n588)) | (~leq(pv21, minus(succ(succ(succ(succ(succ(succ(succ(tptp_minus_1))))))), succ(succ(tptp_minus_1))))) | (~((~leq(succ(tptp_minus_1), pv5)) | (~leq(succ(tptp_minus_1), pv21)) | (~leq(pv5, n588)) | (~leq(pv21, minus(succ(succ(succ(succ(succ(succ(succ(tptp_minus_1))))))), succ(succ(tptp_minus_1))))) | (~leq(pv21, succ(succ(succ(succ(succ(succ(tptp_minus_1))))))))))) | leq(succ(tptp_minus_1), pv5)),
% 0.70/0.83 inference(tautology,[status(thm)],[])).
% 0.70/0.83 tff(434,plain,
% 0.70/0.83 (leq(succ(tptp_minus_1), pv5)),
% 0.70/0.83 inference(unit_resolution,[status(thm)],[433, 425])).
% 0.70/0.83 tff(435,plain,
% 0.70/0.83 ((~((~leq(succ(tptp_minus_1), pv5)) | (~leq(succ(tptp_minus_1), pv21)) | (~leq(pv5, n588)) | (~leq(pv21, minus(succ(succ(succ(succ(succ(succ(succ(tptp_minus_1))))))), succ(succ(tptp_minus_1))))) | (~leq(pv21, succ(succ(succ(succ(succ(succ(tptp_minus_1)))))))))) | (~leq(succ(tptp_minus_1), pv5)) | (~leq(succ(tptp_minus_1), pv21)) | (~leq(pv5, n588)) | (~leq(pv21, minus(succ(succ(succ(succ(succ(succ(succ(tptp_minus_1))))))), succ(succ(tptp_minus_1))))) | (~leq(pv21, succ(succ(succ(succ(succ(succ(tptp_minus_1))))))))),
% 0.70/0.83 inference(tautology,[status(thm)],[])).
% 0.70/0.83 tff(436,plain,
% 0.70/0.83 (~leq(pv21, succ(succ(succ(succ(succ(succ(tptp_minus_1)))))))),
% 0.70/0.83 inference(unit_resolution,[status(thm)],[435, 427, 416, 434, 432, 430])).
% 0.70/0.83 tff(437,plain,
% 0.70/0.83 ($false),
% 0.70/0.83 inference(unit_resolution,[status(thm)],[436, 428])).
% 0.70/0.83 % SZS output end Proof
%------------------------------------------------------------------------------