%------------------------------------------------------------------------------
% File : Z3---4.15.1
% Problem : SWV125+1 : TPTP v9.0.0. Bugfixed v3.3.0.
% Transfm : none
% Format : tptp
% Command : run_E %s %d THM
% Computer : n009.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Sat Jun 21 05:31:33 AM UTC 2025
% Result : Theorem 24.10s 24.30s
% Output : Proof 24.41s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12 % Problem : SWV125+1 : TPTP v9.0.0. Bugfixed v3.3.0.
% 0.04/0.12 % Command : run_E %s %d THM
% 0.12/0.33 % Computer : n009.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Fri Jun 20 09:28:03 EDT 2025
% 0.12/0.33 % CPUTime :
% 24.10/24.30 % SZS status Theorem
% 24.10/24.30 % SZS output start Proof
% 24.10/24.30 tff(leq_type, type, (
% 24.10/24.30 leq: ( $i * $i ) > $o)).
% 24.10/24.30 tff(n5_type, type, (
% 24.10/24.30 n5: $i)).
% 24.10/24.30 tff(pv21_type, type, (
% 24.10/24.30 pv21: $i)).
% 24.10/24.30 tff(minus_type, type, (
% 24.10/24.30 minus: ( $i * $i ) > $i)).
% 24.10/24.30 tff(n1_type, type, (
% 24.10/24.30 n1: $i)).
% 24.10/24.30 tff(n6_type, type, (
% 24.10/24.30 n6: $i)).
% 24.10/24.30 tff(pred_type, type, (
% 24.10/24.30 pred: $i > $i)).
% 24.10/24.30 tff(succ_type, type, (
% 24.10/24.30 succ: $i > $i)).
% 24.10/24.30 tff(plus_type, type, (
% 24.10/24.30 plus: ( $i * $i ) > $i)).
% 24.10/24.30 tff(n0_type, type, (
% 24.10/24.30 n0: $i)).
% 24.10/24.30 tff(n588_type, type, (
% 24.10/24.30 n588: $i)).
% 24.10/24.30 tff(pv5_type, type, (
% 24.10/24.30 pv5: $i)).
% 24.10/24.30 tff(n7_type, type, (
% 24.10/24.30 n7: $i)).
% 24.10/24.30 tff(n4_type, type, (
% 24.10/24.30 n4: $i)).
% 24.10/24.30 tff(n3_type, type, (
% 24.10/24.30 n3: $i)).
% 24.10/24.30 tff(n2_type, type, (
% 24.10/24.30 n2: $i)).
% 24.10/24.30 tff(gt_type, type, (
% 24.10/24.30 gt: ( $i * $i ) > $o)).
% 24.10/24.30 tff(n1000_type, type, (
% 24.10/24.30 n1000: $i)).
% 24.10/24.30 tff(geq_type, type, (
% 24.10/24.30 geq: ( $i * $i ) > $o)).
% 24.10/24.30 tff(true_type, type, (
% 24.10/24.30 true: $o)).
% 24.10/24.30 tff(pv23_type, type, (
% 24.10/24.30 pv23: $i)).
% 24.10/24.30 tff(a_select2_type, type, (
% 24.10/24.30 a_select2: ( $i * $i ) > $i)).
% 24.10/24.30 tff(sigma_type, type, (
% 24.10/24.30 sigma: $i)).
% 24.10/24.30 tff(pv31_type, type, (
% 24.10/24.30 pv31: $i)).
% 24.10/24.30 tff(pv32_type, type, (
% 24.10/24.30 pv32: $i)).
% 24.10/24.30 tff(1,plain,
% 24.10/24.30 (![X: $i] : (pred(succ(X)) = X) <=> ![X: $i] : (pred(succ(X)) = X)),
% 24.10/24.30 inference(rewrite,[status(thm)],[])).
% 24.10/24.30 tff(2,plain,
% 24.10/24.30 (![X: $i] : (pred(succ(X)) = X) <=> ![X: $i] : (pred(succ(X)) = X)),
% 24.10/24.30 inference(rewrite,[status(thm)],[])).
% 24.10/24.30 tff(3,axiom,(![X: $i] : (pred(succ(X)) = X)), file('/export/starexec/sandbox2/benchmark/Axioms/SWV003+0.ax','pred_succ')).
% 24.10/24.30 tff(4,plain,
% 24.10/24.30 (![X: $i] : (pred(succ(X)) = X)),
% 24.10/24.30 inference(modus_ponens,[status(thm)],[3, 2])).
% 24.10/24.30 tff(5,plain,(
% 24.10/24.30 ![X: $i] : (pred(succ(X)) = X)),
% 24.10/24.30 inference(skolemize,[status(sab)],[4])).
% 24.10/24.30 tff(6,plain,
% 24.10/24.30 (![X: $i] : (pred(succ(X)) = X)),
% 24.10/24.30 inference(modus_ponens,[status(thm)],[5, 1])).
% 24.10/24.30 tff(7,plain,
% 24.10/24.30 ((~![X: $i] : (pred(succ(X)) = X)) | (pred(succ(n5)) = n5)),
% 24.10/24.30 inference(quant_inst,[status(thm)],[])).
% 24.10/24.30 tff(8,plain,
% 24.10/24.30 (pred(succ(n5)) = n5),
% 24.10/24.30 inference(unit_resolution,[status(thm)],[7, 6])).
% 24.10/24.30 tff(9,plain,
% 24.10/24.30 (^[X: $i] : refl((plus(n1, X) = succ(X)) <=> (plus(n1, X) = succ(X)))),
% 24.10/24.30 inference(bind,[status(th)],[])).
% 24.10/24.30 tff(10,plain,
% 24.10/24.30 (![X: $i] : (plus(n1, X) = succ(X)) <=> ![X: $i] : (plus(n1, X) = succ(X))),
% 24.10/24.30 inference(quant_intro,[status(thm)],[9])).
% 24.10/24.30 tff(11,plain,
% 24.10/24.30 (![X: $i] : (plus(n1, X) = succ(X)) <=> ![X: $i] : (plus(n1, X) = succ(X))),
% 24.10/24.30 inference(rewrite,[status(thm)],[])).
% 24.10/24.30 tff(12,axiom,(![X: $i] : (plus(n1, X) = succ(X))), file('/export/starexec/sandbox2/benchmark/Axioms/SWV003+0.ax','succ_plus_1_l')).
% 24.10/24.30 tff(13,plain,
% 24.10/24.30 (![X: $i] : (plus(n1, X) = succ(X))),
% 24.10/24.30 inference(modus_ponens,[status(thm)],[12, 11])).
% 24.10/24.30 tff(14,plain,(
% 24.10/24.30 ![X: $i] : (plus(n1, X) = succ(X))),
% 24.10/24.30 inference(skolemize,[status(sab)],[13])).
% 24.10/24.30 tff(15,plain,
% 24.10/24.30 (![X: $i] : (plus(n1, X) = succ(X))),
% 24.10/24.30 inference(modus_ponens,[status(thm)],[14, 10])).
% 24.10/24.30 tff(16,plain,
% 24.10/24.30 ((~![X: $i] : (plus(n1, X) = succ(X))) | (plus(n1, n5) = succ(n5))),
% 24.10/24.30 inference(quant_inst,[status(thm)],[])).
% 24.10/24.30 tff(17,plain,
% 24.10/24.30 (plus(n1, n5) = succ(n5)),
% 24.10/24.30 inference(unit_resolution,[status(thm)],[16, 15])).
% 24.10/24.30 tff(18,plain,
% 24.10/24.30 (^[X: $i] : refl((plus(X, n5) = succ(succ(succ(succ(succ(X)))))) <=> (plus(X, n5) = succ(succ(succ(succ(succ(X)))))))),
% 24.10/24.30 inference(bind,[status(th)],[])).
% 24.10/24.30 tff(19,plain,
% 24.10/24.30 (![X: $i] : (plus(X, n5) = succ(succ(succ(succ(succ(X)))))) <=> ![X: $i] : (plus(X, n5) = succ(succ(succ(succ(succ(X))))))),
% 24.10/24.30 inference(quant_intro,[status(thm)],[18])).
% 24.10/24.30 tff(20,plain,
% 24.10/24.30 (![X: $i] : (plus(X, n5) = succ(succ(succ(succ(succ(X)))))) <=> ![X: $i] : (plus(X, n5) = succ(succ(succ(succ(succ(X))))))),
% 24.10/24.30 inference(rewrite,[status(thm)],[])).
% 24.10/24.30 tff(21,axiom,(![X: $i] : (plus(X, n5) = succ(succ(succ(succ(succ(X))))))), file('/export/starexec/sandbox2/benchmark/Axioms/SWV003+0.ax','succ_plus_5_r')).
% 24.10/24.30 tff(22,plain,
% 24.10/24.30 (![X: $i] : (plus(X, n5) = succ(succ(succ(succ(succ(X))))))),
% 24.10/24.30 inference(modus_ponens,[status(thm)],[21, 20])).
% 24.10/24.30 tff(23,plain,(
% 24.10/24.30 ![X: $i] : (plus(X, n5) = succ(succ(succ(succ(succ(X))))))),
% 24.10/24.30 inference(skolemize,[status(sab)],[22])).
% 24.10/24.30 tff(24,plain,
% 24.10/24.30 (![X: $i] : (plus(X, n5) = succ(succ(succ(succ(succ(X))))))),
% 24.10/24.30 inference(modus_ponens,[status(thm)],[23, 19])).
% 24.10/24.30 tff(25,plain,
% 24.10/24.30 ((~![X: $i] : (plus(X, n5) = succ(succ(succ(succ(succ(X))))))) | (plus(n1, n5) = succ(succ(succ(succ(succ(n1))))))),
% 24.10/24.30 inference(quant_inst,[status(thm)],[])).
% 24.10/24.30 tff(26,plain,
% 24.10/24.30 (plus(n1, n5) = succ(succ(succ(succ(succ(n1)))))),
% 24.10/24.30 inference(unit_resolution,[status(thm)],[25, 24])).
% 24.10/24.30 tff(27,plain,
% 24.10/24.30 (succ(succ(succ(succ(succ(n1))))) = plus(n1, n5)),
% 24.10/24.30 inference(symmetry,[status(thm)],[26])).
% 24.10/24.30 tff(28,plain,
% 24.10/24.30 (succ(succ(succ(succ(succ(n1))))) = succ(n5)),
% 24.10/24.30 inference(transitivity,[status(thm)],[27, 17])).
% 24.10/24.30 tff(29,plain,
% 24.10/24.30 (pred(succ(succ(succ(succ(succ(n1)))))) = pred(succ(n5))),
% 24.10/24.30 inference(monotonicity,[status(thm)],[28])).
% 24.10/24.30 tff(30,plain,
% 24.10/24.30 (^[X: $i] : refl((minus(X, n1) = pred(X)) <=> (minus(X, n1) = pred(X)))),
% 24.10/24.30 inference(bind,[status(th)],[])).
% 24.10/24.30 tff(31,plain,
% 24.10/24.30 (![X: $i] : (minus(X, n1) = pred(X)) <=> ![X: $i] : (minus(X, n1) = pred(X))),
% 24.10/24.30 inference(quant_intro,[status(thm)],[30])).
% 24.10/24.30 tff(32,plain,
% 24.10/24.30 (![X: $i] : (minus(X, n1) = pred(X)) <=> ![X: $i] : (minus(X, n1) = pred(X))),
% 24.10/24.30 inference(rewrite,[status(thm)],[])).
% 24.10/24.30 tff(33,axiom,(![X: $i] : (minus(X, n1) = pred(X))), file('/export/starexec/sandbox2/benchmark/Axioms/SWV003+0.ax','pred_minus_1')).
% 24.10/24.30 tff(34,plain,
% 24.10/24.30 (![X: $i] : (minus(X, n1) = pred(X))),
% 24.10/24.30 inference(modus_ponens,[status(thm)],[33, 32])).
% 24.10/24.30 tff(35,plain,(
% 24.10/24.30 ![X: $i] : (minus(X, n1) = pred(X))),
% 24.10/24.30 inference(skolemize,[status(sab)],[34])).
% 24.10/24.30 tff(36,plain,
% 24.10/24.30 (![X: $i] : (minus(X, n1) = pred(X))),
% 24.10/24.30 inference(modus_ponens,[status(thm)],[35, 31])).
% 24.10/24.30 tff(37,plain,
% 24.10/24.30 ((~![X: $i] : (minus(X, n1) = pred(X))) | (minus(succ(succ(succ(succ(succ(n1))))), n1) = pred(succ(succ(succ(succ(succ(n1)))))))),
% 24.10/24.30 inference(quant_inst,[status(thm)],[])).
% 24.10/24.30 tff(38,plain,
% 24.10/24.30 (minus(succ(succ(succ(succ(succ(n1))))), n1) = pred(succ(succ(succ(succ(succ(n1))))))),
% 24.10/24.30 inference(unit_resolution,[status(thm)],[37, 36])).
% 24.10/24.30 tff(39,plain,
% 24.10/24.30 (succ(n5) = plus(n1, n5)),
% 24.10/24.30 inference(symmetry,[status(thm)],[17])).
% 24.10/24.30 tff(40,plain,
% 24.10/24.30 ((succ(succ(succ(succ(succ(n0))))) = n5) <=> (succ(succ(succ(succ(succ(n0))))) = n5)),
% 24.10/24.30 inference(rewrite,[status(thm)],[])).
% 24.10/24.30 tff(41,axiom,(succ(succ(succ(succ(succ(n0))))) = n5), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','successor_5')).
% 24.10/24.30 tff(42,plain,
% 24.10/24.30 (succ(succ(succ(succ(succ(n0))))) = n5),
% 24.10/24.30 inference(modus_ponens,[status(thm)],[41, 40])).
% 24.10/24.30 tff(43,plain,
% 24.10/24.30 (succ(succ(succ(succ(succ(succ(n0)))))) = succ(n5)),
% 24.10/24.30 inference(monotonicity,[status(thm)],[42])).
% 24.10/24.30 tff(44,plain,
% 24.10/24.30 ((succ(succ(succ(succ(succ(succ(n0)))))) = n6) <=> (succ(succ(succ(succ(succ(succ(n0)))))) = n6)),
% 24.10/24.30 inference(rewrite,[status(thm)],[])).
% 24.10/24.30 tff(45,axiom,(succ(succ(succ(succ(succ(succ(n0)))))) = n6), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','successor_6')).
% 24.10/24.30 tff(46,plain,
% 24.10/24.30 (succ(succ(succ(succ(succ(succ(n0)))))) = n6),
% 24.10/24.30 inference(modus_ponens,[status(thm)],[45, 44])).
% 24.10/24.30 tff(47,plain,
% 24.10/24.30 (n6 = succ(succ(succ(succ(succ(succ(n0))))))),
% 24.10/24.30 inference(symmetry,[status(thm)],[46])).
% 24.10/24.30 tff(48,plain,
% 24.10/24.30 (n6 = succ(succ(succ(succ(succ(n1)))))),
% 24.10/24.30 inference(transitivity,[status(thm)],[47, 43, 39, 26])).
% 24.10/24.30 tff(49,plain,
% 24.10/24.30 (minus(n6, n1) = minus(succ(succ(succ(succ(succ(n1))))), n1)),
% 24.10/24.30 inference(monotonicity,[status(thm)],[48])).
% 24.10/24.30 tff(50,plain,
% 24.10/24.30 (minus(n6, n1) = n5),
% 24.10/24.30 inference(transitivity,[status(thm)],[49, 38, 29, 8])).
% 24.10/24.30 tff(51,plain,
% 24.10/24.30 (leq(pv21, minus(n6, n1)) <=> leq(pv21, n5)),
% 24.10/24.30 inference(monotonicity,[status(thm)],[50])).
% 24.10/24.30 tff(52,plain,
% 24.10/24.30 ((~![X: $i] : (minus(X, n1) = pred(X))) | (minus(n1000, n1) = pred(n1000))),
% 24.10/24.30 inference(quant_inst,[status(thm)],[])).
% 24.10/24.30 tff(53,plain,
% 24.10/24.30 (minus(n1000, n1) = pred(n1000)),
% 24.10/24.30 inference(unit_resolution,[status(thm)],[52, 36])).
% 24.10/24.30 tff(54,plain,
% 24.10/24.30 (pred(n1000) = minus(n1000, n1)),
% 24.10/24.30 inference(symmetry,[status(thm)],[53])).
% 24.10/24.30 tff(55,plain,
% 24.10/24.30 (leq(pv5, pred(n1000)) <=> leq(pv5, minus(n1000, n1))),
% 24.10/24.30 inference(monotonicity,[status(thm)],[54])).
% 24.10/24.30 tff(56,plain,
% 24.10/24.30 (leq(pv5, minus(n1000, n1)) <=> leq(pv5, pred(n1000))),
% 24.10/24.30 inference(symmetry,[status(thm)],[55])).
% 24.10/24.31 tff(57,plain,
% 24.10/24.31 ((~leq(pv5, minus(n1000, n1))) <=> (~leq(pv5, pred(n1000)))),
% 24.10/24.31 inference(monotonicity,[status(thm)],[56])).
% 24.10/24.31 tff(58,assumption,(~((~leq(n0, pv5)) | (~leq(pv5, n588)) | (~((~leq(n0, n0)) | (~leq(n0, n1)) | (~leq(n0, n2)) | (~leq(n0, n3)) | (~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(n0, pv5)) | (~leq(pv5, minus(n1000, n1))) | (~(gt(pv5, n0) | (~((~leq(n0, n4)) | (~leq(n0, n5)) | (~leq(n0, n6)) | (~leq(n0, n7)) | (~leq(n1, n7)) | (~leq(n2, n7)) | (~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)))))) | (~((~gt(pv5, n0)) | (~((~leq(n0, n4)) | (~leq(n0, n5)) | (~leq(n0, n6)) | (~leq(n0, n7)) | (~leq(n1, n7)) | (~leq(n2, n7)) | (~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)))))))))), introduced(assumption)).
% 24.10/24.31 tff(59,plain,
% 24.10/24.31 (((~leq(n0, pv5)) | (~leq(pv5, n588)) | (~((~leq(n0, n0)) | (~leq(n0, n1)) | (~leq(n0, n2)) | (~leq(n0, n3)) | (~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(n0, pv5)) | (~leq(pv5, minus(n1000, n1))) | (~(gt(pv5, n0) | (~((~leq(n0, n4)) | (~leq(n0, n5)) | (~leq(n0, n6)) | (~leq(n0, n7)) | (~leq(n1, n7)) | (~leq(n2, n7)) | (~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)))))) | (~((~gt(pv5, n0)) | (~((~leq(n0, n4)) | (~leq(n0, n5)) | (~leq(n0, n6)) | (~leq(n0, n7)) | (~leq(n1, n7)) | (~leq(n2, n7)) | (~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(n0, n0)) | (~leq(n0, n1)) | (~leq(n0, n2)) | (~leq(n0, n3)) | (~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(n0, pv5)) | (~leq(pv5, minus(n1000, n1))) | (~(gt(pv5, n0) | (~((~leq(n0, n4)) | (~leq(n0, n5)) | (~leq(n0, n6)) | (~leq(n0, n7)) | (~leq(n1, n7)) | (~leq(n2, n7)) | (~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)))))) | (~((~gt(pv5, n0)) | (~((~leq(n0, n4)) | (~leq(n0, n5)) | (~leq(n0, n6)) | (~leq(n0, n7)) | (~leq(n1, n7)) | (~leq(n2, n7)) | (~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)))))))),
% 24.10/24.31 inference(tautology,[status(thm)],[])).
% 24.10/24.31 tff(60,plain,
% 24.10/24.31 ((~leq(n0, n0)) | (~leq(n0, n1)) | (~leq(n0, n2)) | (~leq(n0, n3)) | (~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(n0, pv5)) | (~leq(pv5, minus(n1000, n1))) | (~(gt(pv5, n0) | (~((~leq(n0, n4)) | (~leq(n0, n5)) | (~leq(n0, n6)) | (~leq(n0, n7)) | (~leq(n1, n7)) | (~leq(n2, n7)) | (~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)))))) | (~((~gt(pv5, n0)) | (~((~leq(n0, n4)) | (~leq(n0, n5)) | (~leq(n0, n6)) | (~leq(n0, n7)) | (~leq(n1, n7)) | (~leq(n2, n7)) | (~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))))))),
% 24.10/24.31 inference(unit_resolution,[status(thm)],[59, 58])).
% 24.10/24.31 tff(61,plain,
% 24.10/24.31 (((~leq(n0, pv5)) | (~leq(pv5, n588)) | (~((~leq(n0, n0)) | (~leq(n0, n1)) | (~leq(n0, n2)) | (~leq(n0, n3)) | (~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(n0, pv5)) | (~leq(pv5, minus(n1000, n1))) | (~(gt(pv5, n0) | (~((~leq(n0, n4)) | (~leq(n0, n5)) | (~leq(n0, n6)) | (~leq(n0, n7)) | (~leq(n1, n7)) | (~leq(n2, n7)) | (~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)))))) | (~((~gt(pv5, n0)) | (~((~leq(n0, n4)) | (~leq(n0, n5)) | (~leq(n0, n6)) | (~leq(n0, n7)) | (~leq(n1, n7)) | (~leq(n2, n7)) | (~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, n588)),
% 24.10/24.31 inference(tautology,[status(thm)],[])).
% 24.10/24.31 tff(62,plain,
% 24.10/24.31 (leq(pv5, n588)),
% 24.10/24.31 inference(unit_resolution,[status(thm)],[61, 58])).
% 24.10/24.31 tff(63,plain,
% 24.10/24.31 (^[X: $i] : refl(leq(X, X) <=> leq(X, X))),
% 24.10/24.31 inference(bind,[status(th)],[])).
% 24.10/24.31 tff(64,plain,
% 24.10/24.31 (![X: $i] : leq(X, X) <=> ![X: $i] : leq(X, X)),
% 24.10/24.31 inference(quant_intro,[status(thm)],[63])).
% 24.10/24.31 tff(65,plain,
% 24.10/24.31 (![X: $i] : leq(X, X) <=> ![X: $i] : leq(X, X)),
% 24.10/24.31 inference(rewrite,[status(thm)],[])).
% 24.10/24.31 tff(66,axiom,(![X: $i] : leq(X, X)), file('/export/starexec/sandbox2/benchmark/Axioms/SWV003+0.ax','reflexivity_leq')).
% 24.10/24.31 tff(67,plain,
% 24.10/24.31 (![X: $i] : leq(X, X)),
% 24.10/24.31 inference(modus_ponens,[status(thm)],[66, 65])).
% 24.10/24.31 tff(68,plain,(
% 24.10/24.31 ![X: $i] : leq(X, X)),
% 24.10/24.31 inference(skolemize,[status(sab)],[67])).
% 24.10/24.31 tff(69,plain,
% 24.10/24.31 (![X: $i] : leq(X, X)),
% 24.10/24.31 inference(modus_ponens,[status(thm)],[68, 64])).
% 24.10/24.31 tff(70,plain,
% 24.10/24.31 ((~![X: $i] : leq(X, X)) | leq(n7, n7)),
% 24.10/24.31 inference(quant_inst,[status(thm)],[])).
% 24.10/24.31 tff(71,plain,
% 24.10/24.31 (leq(n7, n7)),
% 24.10/24.31 inference(unit_resolution,[status(thm)],[70, 69])).
% 24.10/24.31 tff(72,plain,
% 24.10/24.31 (leq(n4, minus(n6, n1)) <=> leq(n4, n5)),
% 24.10/24.31 inference(monotonicity,[status(thm)],[50])).
% 24.10/24.31 tff(73,plain,
% 24.10/24.31 (leq(n4, n5) <=> leq(n4, minus(n6, n1))),
% 24.10/24.31 inference(symmetry,[status(thm)],[72])).
% 24.10/24.31 tff(74,plain,
% 24.10/24.31 (gt(n5, n4) <=> gt(n5, n4)),
% 24.10/24.31 inference(rewrite,[status(thm)],[])).
% 24.10/24.31 tff(75,axiom,(gt(n5, n4)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','gt_5_4')).
% 24.10/24.31 tff(76,plain,
% 24.10/24.31 (gt(n5, n4)),
% 24.10/24.31 inference(modus_ponens,[status(thm)],[75, 74])).
% 24.10/24.31 tff(77,plain,
% 24.10/24.31 (^[X: $i, Y: $i] : refl(((~gt(Y, X)) | leq(X, Y)) <=> ((~gt(Y, X)) | leq(X, Y)))),
% 24.10/24.31 inference(bind,[status(th)],[])).
% 24.10/24.31 tff(78,plain,
% 24.10/24.31 (![X: $i, Y: $i] : ((~gt(Y, X)) | leq(X, Y)) <=> ![X: $i, Y: $i] : ((~gt(Y, X)) | leq(X, Y))),
% 24.10/24.31 inference(quant_intro,[status(thm)],[77])).
% 24.10/24.31 tff(79,plain,
% 24.10/24.31 (![X: $i, Y: $i] : ((~gt(Y, X)) | leq(X, Y)) <=> ![X: $i, Y: $i] : ((~gt(Y, X)) | leq(X, Y))),
% 24.10/24.31 inference(rewrite,[status(thm)],[])).
% 24.10/24.31 tff(80,plain,
% 24.10/24.31 (^[X: $i, Y: $i] : rewrite((gt(Y, X) => leq(X, Y)) <=> ((~gt(Y, X)) | leq(X, Y)))),
% 24.10/24.31 inference(bind,[status(th)],[])).
% 24.10/24.31 tff(81,plain,
% 24.10/24.31 (![X: $i, Y: $i] : (gt(Y, X) => leq(X, Y)) <=> ![X: $i, Y: $i] : ((~gt(Y, X)) | leq(X, Y))),
% 24.10/24.31 inference(quant_intro,[status(thm)],[80])).
% 24.10/24.31 tff(82,axiom,(![X: $i, Y: $i] : (gt(Y, X) => leq(X, Y))), file('/export/starexec/sandbox2/benchmark/Axioms/SWV003+0.ax','leq_gt1')).
% 24.10/24.31 tff(83,plain,
% 24.10/24.31 (![X: $i, Y: $i] : ((~gt(Y, X)) | leq(X, Y))),
% 24.10/24.31 inference(modus_ponens,[status(thm)],[82, 81])).
% 24.10/24.31 tff(84,plain,
% 24.10/24.31 (![X: $i, Y: $i] : ((~gt(Y, X)) | leq(X, Y))),
% 24.10/24.31 inference(modus_ponens,[status(thm)],[83, 79])).
% 24.10/24.31 tff(85,plain,(
% 24.10/24.31 ![X: $i, Y: $i] : ((~gt(Y, X)) | leq(X, Y))),
% 24.10/24.31 inference(skolemize,[status(sab)],[84])).
% 24.10/24.31 tff(86,plain,
% 24.10/24.31 (![X: $i, Y: $i] : ((~gt(Y, X)) | leq(X, Y))),
% 24.10/24.31 inference(modus_ponens,[status(thm)],[85, 78])).
% 24.10/24.31 tff(87,plain,
% 24.10/24.31 (((~![X: $i, Y: $i] : ((~gt(Y, X)) | leq(X, Y))) | ((~gt(n5, n4)) | leq(n4, n5))) <=> ((~![X: $i, Y: $i] : ((~gt(Y, X)) | leq(X, Y))) | (~gt(n5, n4)) | leq(n4, n5))),
% 24.10/24.31 inference(rewrite,[status(thm)],[])).
% 24.10/24.31 tff(88,plain,
% 24.10/24.31 ((~![X: $i, Y: $i] : ((~gt(Y, X)) | leq(X, Y))) | ((~gt(n5, n4)) | leq(n4, n5))),
% 24.10/24.31 inference(quant_inst,[status(thm)],[])).
% 24.10/24.31 tff(89,plain,
% 24.10/24.31 ((~![X: $i, Y: $i] : ((~gt(Y, X)) | leq(X, Y))) | (~gt(n5, n4)) | leq(n4, n5)),
% 24.10/24.31 inference(modus_ponens,[status(thm)],[88, 87])).
% 24.10/24.31 tff(90,plain,
% 24.10/24.31 (leq(n4, n5)),
% 24.10/24.31 inference(unit_resolution,[status(thm)],[89, 86, 76])).
% 24.10/24.31 tff(91,plain,
% 24.10/24.31 (leq(n4, minus(n6, n1))),
% 24.10/24.31 inference(modus_ponens,[status(thm)],[90, 73])).
% 24.10/24.31 tff(92,plain,
% 24.10/24.31 (leq(n3, minus(n6, n1)) <=> leq(n3, n5)),
% 24.10/24.31 inference(monotonicity,[status(thm)],[50])).
% 24.10/24.31 tff(93,plain,
% 24.10/24.31 (leq(n3, n5) <=> leq(n3, minus(n6, n1))),
% 24.10/24.31 inference(symmetry,[status(thm)],[92])).
% 24.10/24.31 tff(94,plain,
% 24.10/24.31 (gt(n5, n3) <=> gt(n5, n3)),
% 24.10/24.31 inference(rewrite,[status(thm)],[])).
% 24.10/24.31 tff(95,axiom,(gt(n5, n3)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','gt_5_3')).
% 24.10/24.31 tff(96,plain,
% 24.10/24.31 (gt(n5, n3)),
% 24.10/24.31 inference(modus_ponens,[status(thm)],[95, 94])).
% 24.10/24.31 tff(97,plain,
% 24.10/24.31 (((~![X: $i, Y: $i] : ((~gt(Y, X)) | leq(X, Y))) | ((~gt(n5, n3)) | leq(n3, n5))) <=> ((~![X: $i, Y: $i] : ((~gt(Y, X)) | leq(X, Y))) | (~gt(n5, n3)) | leq(n3, n5))),
% 24.10/24.31 inference(rewrite,[status(thm)],[])).
% 24.10/24.31 tff(98,plain,
% 24.10/24.31 ((~![X: $i, Y: $i] : ((~gt(Y, X)) | leq(X, Y))) | ((~gt(n5, n3)) | leq(n3, n5))),
% 24.10/24.31 inference(quant_inst,[status(thm)],[])).
% 24.10/24.31 tff(99,plain,
% 24.10/24.31 ((~![X: $i, Y: $i] : ((~gt(Y, X)) | leq(X, Y))) | (~gt(n5, n3)) | leq(n3, n5)),
% 24.10/24.31 inference(modus_ponens,[status(thm)],[98, 97])).
% 24.10/24.31 tff(100,plain,
% 24.10/24.31 (leq(n3, n5)),
% 24.10/24.31 inference(unit_resolution,[status(thm)],[99, 86, 96])).
% 24.10/24.31 tff(101,plain,
% 24.10/24.31 (leq(n3, minus(n6, n1))),
% 24.10/24.31 inference(modus_ponens,[status(thm)],[100, 93])).
% 24.10/24.31 tff(102,plain,
% 24.10/24.31 (gt(n7, n6) <=> gt(n7, n6)),
% 24.10/24.31 inference(rewrite,[status(thm)],[])).
% 24.10/24.31 tff(103,axiom,(gt(n7, n6)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','gt_7_6')).
% 24.10/24.31 tff(104,plain,
% 24.10/24.31 (gt(n7, n6)),
% 24.10/24.31 inference(modus_ponens,[status(thm)],[103, 102])).
% 24.10/24.31 tff(105,plain,
% 24.10/24.31 (((~![X: $i, Y: $i] : ((~gt(Y, X)) | leq(X, Y))) | ((~gt(n7, n6)) | leq(n6, n7))) <=> ((~![X: $i, Y: $i] : ((~gt(Y, X)) | leq(X, Y))) | (~gt(n7, n6)) | leq(n6, n7))),
% 24.10/24.31 inference(rewrite,[status(thm)],[])).
% 24.10/24.31 tff(106,plain,
% 24.10/24.31 ((~![X: $i, Y: $i] : ((~gt(Y, X)) | leq(X, Y))) | ((~gt(n7, n6)) | leq(n6, n7))),
% 24.10/24.31 inference(quant_inst,[status(thm)],[])).
% 24.10/24.31 tff(107,plain,
% 24.10/24.31 ((~![X: $i, Y: $i] : ((~gt(Y, X)) | leq(X, Y))) | (~gt(n7, n6)) | leq(n6, n7)),
% 24.10/24.31 inference(modus_ponens,[status(thm)],[106, 105])).
% 24.10/24.31 tff(108,plain,
% 24.10/24.31 (leq(n6, n7)),
% 24.10/24.31 inference(unit_resolution,[status(thm)],[107, 86, 104])).
% 24.10/24.31 tff(109,plain,
% 24.10/24.31 (leq(n5, minus(n6, n1)) <=> leq(n5, n5)),
% 24.10/24.31 inference(monotonicity,[status(thm)],[50])).
% 24.10/24.31 tff(110,plain,
% 24.10/24.31 (leq(n5, n5) <=> leq(n5, minus(n6, n1))),
% 24.10/24.31 inference(symmetry,[status(thm)],[109])).
% 24.10/24.31 tff(111,plain,
% 24.10/24.31 (n6 = succ(n5)),
% 24.10/24.31 inference(transitivity,[status(thm)],[47, 43])).
% 24.10/24.31 tff(112,plain,
% 24.10/24.31 (pred(n6) = pred(succ(n5))),
% 24.10/24.31 inference(monotonicity,[status(thm)],[111])).
% 24.10/24.31 tff(113,plain,
% 24.10/24.31 (pred(n6) = n5),
% 24.10/24.31 inference(transitivity,[status(thm)],[112, 8])).
% 24.10/24.31 tff(114,plain,
% 24.10/24.31 (leq(n5, pred(n6)) <=> leq(n5, n5)),
% 24.10/24.31 inference(monotonicity,[status(thm)],[113])).
% 24.10/24.31 tff(115,plain,
% 24.10/24.31 (^[X: $i, Y: $i] : refl((leq(X, pred(Y)) <=> gt(Y, X)) <=> (leq(X, pred(Y)) <=> gt(Y, X)))),
% 24.10/24.31 inference(bind,[status(th)],[])).
% 24.10/24.31 tff(116,plain,
% 24.10/24.31 (![X: $i, Y: $i] : (leq(X, pred(Y)) <=> gt(Y, X)) <=> ![X: $i, Y: $i] : (leq(X, pred(Y)) <=> gt(Y, X))),
% 24.10/24.31 inference(quant_intro,[status(thm)],[115])).
% 24.10/24.31 tff(117,plain,
% 24.10/24.31 (![X: $i, Y: $i] : (leq(X, pred(Y)) <=> gt(Y, X)) <=> ![X: $i, Y: $i] : (leq(X, pred(Y)) <=> gt(Y, X))),
% 24.10/24.31 inference(rewrite,[status(thm)],[])).
% 24.10/24.31 tff(118,axiom,(![X: $i, Y: $i] : (leq(X, pred(Y)) <=> gt(Y, X))), file('/export/starexec/sandbox2/benchmark/Axioms/SWV003+0.ax','leq_gt_pred')).
% 24.10/24.31 tff(119,plain,
% 24.10/24.31 (![X: $i, Y: $i] : (leq(X, pred(Y)) <=> gt(Y, X))),
% 24.10/24.31 inference(modus_ponens,[status(thm)],[118, 117])).
% 24.10/24.31 tff(120,plain,(
% 24.10/24.31 ![X: $i, Y: $i] : (leq(X, pred(Y)) <=> gt(Y, X))),
% 24.10/24.31 inference(skolemize,[status(sab)],[119])).
% 24.10/24.31 tff(121,plain,
% 24.10/24.31 (![X: $i, Y: $i] : (leq(X, pred(Y)) <=> gt(Y, X))),
% 24.10/24.31 inference(modus_ponens,[status(thm)],[120, 116])).
% 24.10/24.31 tff(122,plain,
% 24.10/24.31 ((~![X: $i, Y: $i] : (leq(X, pred(Y)) <=> gt(Y, X))) | (leq(n5, pred(n6)) <=> gt(n6, n5))),
% 24.10/24.31 inference(quant_inst,[status(thm)],[])).
% 24.10/24.31 tff(123,plain,
% 24.10/24.31 (leq(n5, pred(n6)) <=> gt(n6, n5)),
% 24.10/24.31 inference(unit_resolution,[status(thm)],[122, 121])).
% 24.10/24.31 tff(124,plain,
% 24.10/24.31 (gt(n6, n5) <=> gt(n6, n5)),
% 24.10/24.31 inference(rewrite,[status(thm)],[])).
% 24.10/24.31 tff(125,axiom,(gt(n6, n5)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','gt_6_5')).
% 24.10/24.31 tff(126,plain,
% 24.10/24.31 (gt(n6, n5)),
% 24.10/24.31 inference(modus_ponens,[status(thm)],[125, 124])).
% 24.10/24.31 tff(127,plain,
% 24.10/24.31 ((~(leq(n5, pred(n6)) <=> gt(n6, n5))) | leq(n5, pred(n6)) | (~gt(n6, n5))),
% 24.10/24.31 inference(tautology,[status(thm)],[])).
% 24.10/24.31 tff(128,plain,
% 24.10/24.31 ((~(leq(n5, pred(n6)) <=> gt(n6, n5))) | leq(n5, pred(n6))),
% 24.10/24.31 inference(unit_resolution,[status(thm)],[127, 126])).
% 24.10/24.31 tff(129,plain,
% 24.10/24.31 (leq(n5, pred(n6))),
% 24.10/24.31 inference(unit_resolution,[status(thm)],[128, 123])).
% 24.10/24.31 tff(130,plain,
% 24.10/24.31 (leq(n5, n5)),
% 24.10/24.31 inference(modus_ponens,[status(thm)],[129, 114])).
% 24.10/24.31 tff(131,plain,
% 24.10/24.31 (leq(n5, minus(n6, n1))),
% 24.10/24.31 inference(modus_ponens,[status(thm)],[130, 110])).
% 24.10/24.31 tff(132,plain,
% 24.10/24.31 (gt(n7, n5) <=> gt(n7, n5)),
% 24.10/24.31 inference(rewrite,[status(thm)],[])).
% 24.10/24.31 tff(133,axiom,(gt(n7, n5)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','gt_7_5')).
% 24.10/24.31 tff(134,plain,
% 24.10/24.31 (gt(n7, n5)),
% 24.10/24.31 inference(modus_ponens,[status(thm)],[133, 132])).
% 24.10/24.31 tff(135,plain,
% 24.10/24.31 (((~![X: $i, Y: $i] : ((~gt(Y, X)) | leq(X, Y))) | ((~gt(n7, n5)) | leq(n5, n7))) <=> ((~![X: $i, Y: $i] : ((~gt(Y, X)) | leq(X, Y))) | (~gt(n7, n5)) | leq(n5, n7))),
% 24.10/24.31 inference(rewrite,[status(thm)],[])).
% 24.10/24.31 tff(136,plain,
% 24.10/24.31 ((~![X: $i, Y: $i] : ((~gt(Y, X)) | leq(X, Y))) | ((~gt(n7, n5)) | leq(n5, n7))),
% 24.10/24.31 inference(quant_inst,[status(thm)],[])).
% 24.10/24.31 tff(137,plain,
% 24.10/24.31 ((~![X: $i, Y: $i] : ((~gt(Y, X)) | leq(X, Y))) | (~gt(n7, n5)) | leq(n5, n7)),
% 24.10/24.31 inference(modus_ponens,[status(thm)],[136, 135])).
% 24.10/24.31 tff(138,plain,
% 24.10/24.31 (leq(n5, n7)),
% 24.10/24.31 inference(unit_resolution,[status(thm)],[137, 86, 134])).
% 24.10/24.31 tff(139,plain,
% 24.10/24.31 (gt(n5, n0) <=> gt(n5, n0)),
% 24.10/24.31 inference(rewrite,[status(thm)],[])).
% 24.10/24.31 tff(140,axiom,(gt(n5, n0)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','gt_5_0')).
% 24.10/24.31 tff(141,plain,
% 24.10/24.31 (gt(n5, n0)),
% 24.10/24.31 inference(modus_ponens,[status(thm)],[140, 139])).
% 24.10/24.31 tff(142,plain,
% 24.10/24.31 (((~![X: $i, Y: $i] : ((~gt(Y, X)) | leq(X, Y))) | ((~gt(n5, n0)) | leq(n0, n5))) <=> ((~![X: $i, Y: $i] : ((~gt(Y, X)) | leq(X, Y))) | (~gt(n5, n0)) | leq(n0, n5))),
% 24.10/24.31 inference(rewrite,[status(thm)],[])).
% 24.10/24.31 tff(143,plain,
% 24.10/24.31 ((~![X: $i, Y: $i] : ((~gt(Y, X)) | leq(X, Y))) | ((~gt(n5, n0)) | leq(n0, n5))),
% 24.10/24.31 inference(quant_inst,[status(thm)],[])).
% 24.10/24.31 tff(144,plain,
% 24.10/24.31 ((~![X: $i, Y: $i] : ((~gt(Y, X)) | leq(X, Y))) | (~gt(n5, n0)) | leq(n0, n5)),
% 24.10/24.31 inference(modus_ponens,[status(thm)],[143, 142])).
% 24.10/24.31 tff(145,plain,
% 24.10/24.31 (leq(n0, n5)),
% 24.10/24.31 inference(unit_resolution,[status(thm)],[144, 86, 141])).
% 24.10/24.31 tff(146,plain,
% 24.10/24.31 (gt(n7, n4) <=> gt(n7, n4)),
% 24.10/24.31 inference(rewrite,[status(thm)],[])).
% 24.10/24.31 tff(147,axiom,(gt(n7, n4)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','gt_7_4')).
% 24.10/24.31 tff(148,plain,
% 24.10/24.31 (gt(n7, n4)),
% 24.10/24.31 inference(modus_ponens,[status(thm)],[147, 146])).
% 24.10/24.31 tff(149,plain,
% 24.10/24.31 (((~![X: $i, Y: $i] : ((~gt(Y, X)) | leq(X, Y))) | ((~gt(n7, n4)) | leq(n4, n7))) <=> ((~![X: $i, Y: $i] : ((~gt(Y, X)) | leq(X, Y))) | (~gt(n7, n4)) | leq(n4, n7))),
% 24.10/24.31 inference(rewrite,[status(thm)],[])).
% 24.10/24.31 tff(150,plain,
% 24.10/24.31 ((~![X: $i, Y: $i] : ((~gt(Y, X)) | leq(X, Y))) | ((~gt(n7, n4)) | leq(n4, n7))),
% 24.10/24.31 inference(quant_inst,[status(thm)],[])).
% 24.10/24.31 tff(151,plain,
% 24.10/24.31 ((~![X: $i, Y: $i] : ((~gt(Y, X)) | leq(X, Y))) | (~gt(n7, n4)) | leq(n4, n7)),
% 24.10/24.31 inference(modus_ponens,[status(thm)],[150, 149])).
% 24.10/24.31 tff(152,plain,
% 24.10/24.31 (leq(n4, n7)),
% 24.10/24.31 inference(unit_resolution,[status(thm)],[151, 86, 148])).
% 24.10/24.31 tff(153,plain,
% 24.10/24.31 (gt(n4, n0) <=> gt(n4, n0)),
% 24.10/24.31 inference(rewrite,[status(thm)],[])).
% 24.10/24.31 tff(154,axiom,(gt(n4, n0)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','gt_4_0')).
% 24.10/24.31 tff(155,plain,
% 24.10/24.31 (gt(n4, n0)),
% 24.10/24.31 inference(modus_ponens,[status(thm)],[154, 153])).
% 24.10/24.31 tff(156,plain,
% 24.10/24.31 (((~![X: $i, Y: $i] : ((~gt(Y, X)) | leq(X, Y))) | ((~gt(n4, n0)) | leq(n0, n4))) <=> ((~![X: $i, Y: $i] : ((~gt(Y, X)) | leq(X, Y))) | (~gt(n4, n0)) | leq(n0, n4))),
% 24.10/24.31 inference(rewrite,[status(thm)],[])).
% 24.10/24.31 tff(157,plain,
% 24.10/24.31 ((~![X: $i, Y: $i] : ((~gt(Y, X)) | leq(X, Y))) | ((~gt(n4, n0)) | leq(n0, n4))),
% 24.10/24.31 inference(quant_inst,[status(thm)],[])).
% 24.10/24.31 tff(158,plain,
% 24.10/24.31 ((~![X: $i, Y: $i] : ((~gt(Y, X)) | leq(X, Y))) | (~gt(n4, n0)) | leq(n0, n4)),
% 24.10/24.31 inference(modus_ponens,[status(thm)],[157, 156])).
% 24.10/24.31 tff(159,plain,
% 24.10/24.31 (leq(n0, n4)),
% 24.10/24.31 inference(unit_resolution,[status(thm)],[158, 86, 155])).
% 24.10/24.31 tff(160,plain,
% 24.10/24.31 (gt(n7, n3) <=> gt(n7, n3)),
% 24.10/24.31 inference(rewrite,[status(thm)],[])).
% 24.10/24.31 tff(161,axiom,(gt(n7, n3)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','gt_7_3')).
% 24.10/24.31 tff(162,plain,
% 24.10/24.31 (gt(n7, n3)),
% 24.10/24.31 inference(modus_ponens,[status(thm)],[161, 160])).
% 24.10/24.31 tff(163,plain,
% 24.10/24.31 (((~![X: $i, Y: $i] : ((~gt(Y, X)) | leq(X, Y))) | ((~gt(n7, n3)) | leq(n3, n7))) <=> ((~![X: $i, Y: $i] : ((~gt(Y, X)) | leq(X, Y))) | (~gt(n7, n3)) | leq(n3, n7))),
% 24.10/24.31 inference(rewrite,[status(thm)],[])).
% 24.10/24.31 tff(164,plain,
% 24.10/24.31 ((~![X: $i, Y: $i] : ((~gt(Y, X)) | leq(X, Y))) | ((~gt(n7, n3)) | leq(n3, n7))),
% 24.10/24.31 inference(quant_inst,[status(thm)],[])).
% 24.10/24.31 tff(165,plain,
% 24.10/24.31 ((~![X: $i, Y: $i] : ((~gt(Y, X)) | leq(X, Y))) | (~gt(n7, n3)) | leq(n3, n7)),
% 24.10/24.31 inference(modus_ponens,[status(thm)],[164, 163])).
% 24.10/24.31 tff(166,plain,
% 24.10/24.31 (leq(n3, n7)),
% 24.10/24.31 inference(unit_resolution,[status(thm)],[165, 86, 162])).
% 24.10/24.31 tff(167,plain,
% 24.10/24.31 (gt(n7, n2) <=> gt(n7, n2)),
% 24.10/24.31 inference(rewrite,[status(thm)],[])).
% 24.10/24.31 tff(168,axiom,(gt(n7, n2)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','gt_7_2')).
% 24.10/24.31 tff(169,plain,
% 24.10/24.31 (gt(n7, n2)),
% 24.10/24.31 inference(modus_ponens,[status(thm)],[168, 167])).
% 24.10/24.31 tff(170,plain,
% 24.10/24.31 (((~![X: $i, Y: $i] : ((~gt(Y, X)) | leq(X, Y))) | ((~gt(n7, n2)) | leq(n2, n7))) <=> ((~![X: $i, Y: $i] : ((~gt(Y, X)) | leq(X, Y))) | (~gt(n7, n2)) | leq(n2, n7))),
% 24.10/24.31 inference(rewrite,[status(thm)],[])).
% 24.10/24.31 tff(171,plain,
% 24.10/24.31 ((~![X: $i, Y: $i] : ((~gt(Y, X)) | leq(X, Y))) | ((~gt(n7, n2)) | leq(n2, n7))),
% 24.10/24.31 inference(quant_inst,[status(thm)],[])).
% 24.10/24.31 tff(172,plain,
% 24.10/24.31 ((~![X: $i, Y: $i] : ((~gt(Y, X)) | leq(X, Y))) | (~gt(n7, n2)) | leq(n2, n7)),
% 24.10/24.31 inference(modus_ponens,[status(thm)],[171, 170])).
% 24.10/24.31 tff(173,plain,
% 24.10/24.31 (leq(n2, n7)),
% 24.10/24.31 inference(unit_resolution,[status(thm)],[172, 86, 169])).
% 24.10/24.31 tff(174,plain,
% 24.10/24.31 (gt(n7, n1) <=> gt(n7, n1)),
% 24.10/24.31 inference(rewrite,[status(thm)],[])).
% 24.10/24.31 tff(175,axiom,(gt(n7, n1)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','gt_7_1')).
% 24.10/24.31 tff(176,plain,
% 24.10/24.31 (gt(n7, n1)),
% 24.10/24.31 inference(modus_ponens,[status(thm)],[175, 174])).
% 24.10/24.31 tff(177,plain,
% 24.10/24.31 (((~![X: $i, Y: $i] : ((~gt(Y, X)) | leq(X, Y))) | ((~gt(n7, n1)) | leq(n1, n7))) <=> ((~![X: $i, Y: $i] : ((~gt(Y, X)) | leq(X, Y))) | (~gt(n7, n1)) | leq(n1, n7))),
% 24.10/24.31 inference(rewrite,[status(thm)],[])).
% 24.10/24.31 tff(178,plain,
% 24.10/24.31 ((~![X: $i, Y: $i] : ((~gt(Y, X)) | leq(X, Y))) | ((~gt(n7, n1)) | leq(n1, n7))),
% 24.10/24.31 inference(quant_inst,[status(thm)],[])).
% 24.10/24.31 tff(179,plain,
% 24.10/24.31 ((~![X: $i, Y: $i] : ((~gt(Y, X)) | leq(X, Y))) | (~gt(n7, n1)) | leq(n1, n7)),
% 24.10/24.31 inference(modus_ponens,[status(thm)],[178, 177])).
% 24.10/24.31 tff(180,plain,
% 24.10/24.31 (leq(n1, n7)),
% 24.10/24.31 inference(unit_resolution,[status(thm)],[179, 86, 176])).
% 24.10/24.31 tff(181,plain,
% 24.10/24.31 (gt(n7, n0) <=> gt(n7, n0)),
% 24.10/24.31 inference(rewrite,[status(thm)],[])).
% 24.10/24.31 tff(182,axiom,(gt(n7, n0)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','gt_7_0')).
% 24.10/24.31 tff(183,plain,
% 24.10/24.31 (gt(n7, n0)),
% 24.10/24.31 inference(modus_ponens,[status(thm)],[182, 181])).
% 24.10/24.31 tff(184,plain,
% 24.10/24.31 (((~![X: $i, Y: $i] : ((~gt(Y, X)) | leq(X, Y))) | ((~gt(n7, n0)) | leq(n0, n7))) <=> ((~![X: $i, Y: $i] : ((~gt(Y, X)) | leq(X, Y))) | (~gt(n7, n0)) | leq(n0, n7))),
% 24.10/24.31 inference(rewrite,[status(thm)],[])).
% 24.10/24.31 tff(185,plain,
% 24.10/24.31 ((~![X: $i, Y: $i] : ((~gt(Y, X)) | leq(X, Y))) | ((~gt(n7, n0)) | leq(n0, n7))),
% 24.10/24.32 inference(quant_inst,[status(thm)],[])).
% 24.10/24.32 tff(186,plain,
% 24.10/24.32 ((~![X: $i, Y: $i] : ((~gt(Y, X)) | leq(X, Y))) | (~gt(n7, n0)) | leq(n0, n7)),
% 24.10/24.32 inference(modus_ponens,[status(thm)],[185, 184])).
% 24.10/24.32 tff(187,plain,
% 24.10/24.32 (leq(n0, n7)),
% 24.10/24.32 inference(unit_resolution,[status(thm)],[186, 86, 183])).
% 24.10/24.32 tff(188,plain,
% 24.10/24.32 (gt(n6, n0) <=> gt(n6, n0)),
% 24.10/24.32 inference(rewrite,[status(thm)],[])).
% 24.10/24.32 tff(189,axiom,(gt(n6, n0)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','gt_6_0')).
% 24.10/24.32 tff(190,plain,
% 24.10/24.32 (gt(n6, n0)),
% 24.10/24.32 inference(modus_ponens,[status(thm)],[189, 188])).
% 24.10/24.32 tff(191,plain,
% 24.10/24.32 (((~![X: $i, Y: $i] : ((~gt(Y, X)) | leq(X, Y))) | ((~gt(n6, n0)) | leq(n0, n6))) <=> ((~![X: $i, Y: $i] : ((~gt(Y, X)) | leq(X, Y))) | (~gt(n6, n0)) | leq(n0, n6))),
% 24.10/24.32 inference(rewrite,[status(thm)],[])).
% 24.10/24.32 tff(192,plain,
% 24.10/24.32 ((~![X: $i, Y: $i] : ((~gt(Y, X)) | leq(X, Y))) | ((~gt(n6, n0)) | leq(n0, n6))),
% 24.10/24.32 inference(quant_inst,[status(thm)],[])).
% 24.10/24.32 tff(193,plain,
% 24.10/24.32 ((~![X: $i, Y: $i] : ((~gt(Y, X)) | leq(X, Y))) | (~gt(n6, n0)) | leq(n0, n6)),
% 24.10/24.32 inference(modus_ponens,[status(thm)],[192, 191])).
% 24.10/24.32 tff(194,plain,
% 24.10/24.32 (leq(n0, n6)),
% 24.10/24.32 inference(unit_resolution,[status(thm)],[193, 86, 190])).
% 24.10/24.32 tff(195,plain,
% 24.10/24.32 ((~((~leq(n0, n4)) | (~leq(n0, n5)) | (~leq(n0, n6)) | (~leq(n0, n7)) | (~leq(n1, n7)) | (~leq(n2, n7)) | (~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(n0, n4)) | (~leq(n0, n5)) | (~leq(n0, n6)) | (~leq(n0, n7)) | (~leq(n1, n7)) | (~leq(n2, n7)) | (~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))),
% 24.10/24.32 inference(tautology,[status(thm)],[])).
% 24.10/24.32 tff(196,plain,
% 24.10/24.32 ((~((~leq(n0, n4)) | (~leq(n0, n5)) | (~leq(n0, n6)) | (~leq(n0, n7)) | (~leq(n1, n7)) | (~leq(n2, n7)) | (~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, n588))),
% 24.10/24.32 inference(unit_resolution,[status(thm)],[195, 194, 187, 180, 173, 166, 159, 152, 145, 138, 131, 108, 101, 91, 71])).
% 24.10/24.32 tff(197,plain,
% 24.10/24.32 (~((~leq(n0, n4)) | (~leq(n0, n5)) | (~leq(n0, n6)) | (~leq(n0, n7)) | (~leq(n1, n7)) | (~leq(n2, n7)) | (~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)))),
% 24.10/24.32 inference(unit_resolution,[status(thm)],[196, 62])).
% 24.10/24.32 tff(198,plain,
% 24.10/24.32 (((~gt(pv5, n0)) | (~((~leq(n0, n4)) | (~leq(n0, n5)) | (~leq(n0, n6)) | (~leq(n0, n7)) | (~leq(n1, n7)) | (~leq(n2, n7)) | (~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(n0, n4)) | (~leq(n0, n5)) | (~leq(n0, n6)) | (~leq(n0, n7)) | (~leq(n1, n7)) | (~leq(n2, n7)) | (~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)))),
% 24.10/24.32 inference(tautology,[status(thm)],[])).
% 24.10/24.32 tff(199,plain,
% 24.10/24.32 ((~gt(pv5, n0)) | (~((~leq(n0, n4)) | (~leq(n0, n5)) | (~leq(n0, n6)) | (~leq(n0, n7)) | (~leq(n1, n7)) | (~leq(n2, n7)) | (~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))))),
% 24.10/24.32 inference(unit_resolution,[status(thm)],[198, 197])).
% 24.10/24.32 tff(200,plain,
% 24.10/24.32 (((~leq(n0, pv5)) | (~leq(pv5, n588)) | (~((~leq(n0, n0)) | (~leq(n0, n1)) | (~leq(n0, n2)) | (~leq(n0, n3)) | (~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(n0, pv5)) | (~leq(pv5, minus(n1000, n1))) | (~(gt(pv5, n0) | (~((~leq(n0, n4)) | (~leq(n0, n5)) | (~leq(n0, n6)) | (~leq(n0, n7)) | (~leq(n1, n7)) | (~leq(n2, n7)) | (~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)))))) | (~((~gt(pv5, n0)) | (~((~leq(n0, n4)) | (~leq(n0, n5)) | (~leq(n0, n6)) | (~leq(n0, n7)) | (~leq(n1, n7)) | (~leq(n2, n7)) | (~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(n0, pv5)),
% 24.10/24.32 inference(tautology,[status(thm)],[])).
% 24.10/24.32 tff(201,plain,
% 24.10/24.32 (leq(n0, pv5)),
% 24.10/24.32 inference(unit_resolution,[status(thm)],[200, 58])).
% 24.10/24.32 tff(202,plain,
% 24.10/24.32 ((gt(pv5, n0) | (~((~leq(n0, n4)) | (~leq(n0, n5)) | (~leq(n0, n6)) | (~leq(n0, n7)) | (~leq(n1, n7)) | (~leq(n2, n7)) | (~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(n0, n4)) | (~leq(n0, n5)) | (~leq(n0, n6)) | (~leq(n0, n7)) | (~leq(n1, n7)) | (~leq(n2, n7)) | (~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)))),
% 24.10/24.32 inference(tautology,[status(thm)],[])).
% 24.10/24.32 tff(203,plain,
% 24.10/24.32 (gt(pv5, n0) | (~((~leq(n0, n4)) | (~leq(n0, n5)) | (~leq(n0, n6)) | (~leq(n0, n7)) | (~leq(n1, n7)) | (~leq(n2, n7)) | (~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))))),
% 24.10/24.32 inference(unit_resolution,[status(thm)],[202, 197])).
% 24.10/24.32 tff(204,plain,
% 24.10/24.32 (leq(n1, minus(n6, n1)) <=> leq(n1, n5)),
% 24.10/24.32 inference(monotonicity,[status(thm)],[50])).
% 24.10/24.32 tff(205,plain,
% 24.10/24.32 (leq(n1, n5) <=> leq(n1, minus(n6, n1))),
% 24.10/24.32 inference(symmetry,[status(thm)],[204])).
% 24.10/24.32 tff(206,plain,
% 24.10/24.32 (gt(n5, n1) <=> gt(n5, n1)),
% 24.10/24.32 inference(rewrite,[status(thm)],[])).
% 24.10/24.32 tff(207,axiom,(gt(n5, n1)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','gt_5_1')).
% 24.10/24.32 tff(208,plain,
% 24.10/24.32 (gt(n5, n1)),
% 24.10/24.32 inference(modus_ponens,[status(thm)],[207, 206])).
% 24.10/24.32 tff(209,plain,
% 24.10/24.32 (((~![X: $i, Y: $i] : ((~gt(Y, X)) | leq(X, Y))) | ((~gt(n5, n1)) | leq(n1, n5))) <=> ((~![X: $i, Y: $i] : ((~gt(Y, X)) | leq(X, Y))) | (~gt(n5, n1)) | leq(n1, n5))),
% 24.10/24.32 inference(rewrite,[status(thm)],[])).
% 24.10/24.32 tff(210,plain,
% 24.10/24.32 ((~![X: $i, Y: $i] : ((~gt(Y, X)) | leq(X, Y))) | ((~gt(n5, n1)) | leq(n1, n5))),
% 24.10/24.32 inference(quant_inst,[status(thm)],[])).
% 24.10/24.32 tff(211,plain,
% 24.10/24.32 ((~![X: $i, Y: $i] : ((~gt(Y, X)) | leq(X, Y))) | (~gt(n5, n1)) | leq(n1, n5)),
% 24.10/24.32 inference(modus_ponens,[status(thm)],[210, 209])).
% 24.10/24.32 tff(212,plain,
% 24.10/24.32 (leq(n1, n5)),
% 24.10/24.32 inference(unit_resolution,[status(thm)],[211, 86, 208])).
% 24.10/24.32 tff(213,plain,
% 24.10/24.32 (leq(n1, minus(n6, n1))),
% 24.10/24.32 inference(modus_ponens,[status(thm)],[212, 205])).
% 24.10/24.32 tff(214,plain,
% 24.10/24.32 (leq(n0, minus(n6, n1)) <=> leq(n0, n5)),
% 24.10/24.32 inference(monotonicity,[status(thm)],[50])).
% 24.10/24.32 tff(215,plain,
% 24.10/24.32 (leq(n0, n5) <=> leq(n0, minus(n6, n1))),
% 24.10/24.32 inference(symmetry,[status(thm)],[214])).
% 24.10/24.32 tff(216,plain,
% 24.10/24.32 (leq(n0, minus(n6, n1))),
% 24.10/24.32 inference(modus_ponens,[status(thm)],[145, 215])).
% 24.10/24.32 tff(217,plain,
% 24.10/24.32 ((~![X: $i] : (minus(X, n1) = pred(X))) | (minus(n4, n1) = pred(n4))),
% 24.10/24.32 inference(quant_inst,[status(thm)],[])).
% 24.10/24.32 tff(218,plain,
% 24.10/24.32 (minus(n4, n1) = pred(n4)),
% 24.10/24.32 inference(unit_resolution,[status(thm)],[217, 36])).
% 24.10/24.32 tff(219,plain,
% 24.10/24.32 (leq(n3, minus(n4, n1)) <=> leq(n3, pred(n4))),
% 24.10/24.32 inference(monotonicity,[status(thm)],[218])).
% 24.10/24.32 tff(220,plain,
% 24.10/24.32 (leq(n3, pred(n4)) <=> leq(n3, minus(n4, n1))),
% 24.10/24.32 inference(symmetry,[status(thm)],[219])).
% 24.10/24.32 tff(221,plain,
% 24.10/24.32 ((~![X: $i, Y: $i] : (leq(X, pred(Y)) <=> gt(Y, X))) | (leq(n3, pred(n4)) <=> gt(n4, n3))),
% 24.10/24.32 inference(quant_inst,[status(thm)],[])).
% 24.10/24.32 tff(222,plain,
% 24.10/24.32 (leq(n3, pred(n4)) <=> gt(n4, n3)),
% 24.10/24.32 inference(unit_resolution,[status(thm)],[221, 121])).
% 24.10/24.32 tff(223,plain,
% 24.10/24.32 (gt(n4, n3) <=> gt(n4, n3)),
% 24.10/24.32 inference(rewrite,[status(thm)],[])).
% 24.10/24.32 tff(224,axiom,(gt(n4, n3)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','gt_4_3')).
% 24.10/24.32 tff(225,plain,
% 24.10/24.32 (gt(n4, n3)),
% 24.10/24.32 inference(modus_ponens,[status(thm)],[224, 223])).
% 24.10/24.32 tff(226,plain,
% 24.10/24.32 ((~(leq(n3, pred(n4)) <=> gt(n4, n3))) | leq(n3, pred(n4)) | (~gt(n4, n3))),
% 24.10/24.32 inference(tautology,[status(thm)],[])).
% 24.10/24.32 tff(227,plain,
% 24.10/24.32 ((~(leq(n3, pred(n4)) <=> gt(n4, n3))) | leq(n3, pred(n4))),
% 24.10/24.32 inference(unit_resolution,[status(thm)],[226, 225])).
% 24.10/24.32 tff(228,plain,
% 24.10/24.32 (leq(n3, pred(n4))),
% 24.10/24.32 inference(unit_resolution,[status(thm)],[227, 222])).
% 24.10/24.32 tff(229,plain,
% 24.10/24.32 (leq(n3, minus(n4, n1))),
% 24.10/24.32 inference(modus_ponens,[status(thm)],[228, 220])).
% 24.10/24.32 tff(230,plain,
% 24.10/24.32 (leq(n2, minus(n6, n1)) <=> leq(n2, n5)),
% 24.10/24.32 inference(monotonicity,[status(thm)],[50])).
% 24.10/24.32 tff(231,plain,
% 24.10/24.32 (leq(n2, n5) <=> leq(n2, minus(n6, n1))),
% 24.10/24.32 inference(symmetry,[status(thm)],[230])).
% 24.10/24.32 tff(232,plain,
% 24.10/24.32 (gt(n5, n2) <=> gt(n5, n2)),
% 24.10/24.32 inference(rewrite,[status(thm)],[])).
% 24.10/24.32 tff(233,axiom,(gt(n5, n2)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','gt_5_2')).
% 24.10/24.32 tff(234,plain,
% 24.10/24.32 (gt(n5, n2)),
% 24.10/24.32 inference(modus_ponens,[status(thm)],[233, 232])).
% 24.10/24.32 tff(235,plain,
% 24.10/24.32 (((~![X: $i, Y: $i] : ((~gt(Y, X)) | leq(X, Y))) | ((~gt(n5, n2)) | leq(n2, n5))) <=> ((~![X: $i, Y: $i] : ((~gt(Y, X)) | leq(X, Y))) | (~gt(n5, n2)) | leq(n2, n5))),
% 24.10/24.32 inference(rewrite,[status(thm)],[])).
% 24.10/24.32 tff(236,plain,
% 24.10/24.32 ((~![X: $i, Y: $i] : ((~gt(Y, X)) | leq(X, Y))) | ((~gt(n5, n2)) | leq(n2, n5))),
% 24.10/24.32 inference(quant_inst,[status(thm)],[])).
% 24.10/24.32 tff(237,plain,
% 24.10/24.32 ((~![X: $i, Y: $i] : ((~gt(Y, X)) | leq(X, Y))) | (~gt(n5, n2)) | leq(n2, n5)),
% 24.10/24.32 inference(modus_ponens,[status(thm)],[236, 235])).
% 24.10/24.32 tff(238,plain,
% 24.10/24.32 (leq(n2, n5)),
% 24.10/24.32 inference(unit_resolution,[status(thm)],[237, 86, 234])).
% 24.10/24.32 tff(239,plain,
% 24.10/24.32 (leq(n2, minus(n6, n1))),
% 24.10/24.32 inference(modus_ponens,[status(thm)],[238, 231])).
% 24.10/24.32 tff(240,plain,
% 24.10/24.32 (leq(n2, minus(n4, n1)) <=> leq(n2, pred(n4))),
% 24.10/24.32 inference(monotonicity,[status(thm)],[218])).
% 24.10/24.32 tff(241,plain,
% 24.10/24.32 (leq(n2, pred(n4)) <=> leq(n2, minus(n4, n1))),
% 24.10/24.32 inference(symmetry,[status(thm)],[240])).
% 24.10/24.32 tff(242,plain,
% 24.10/24.32 ((~![X: $i, Y: $i] : (leq(X, pred(Y)) <=> gt(Y, X))) | (leq(n2, pred(n4)) <=> gt(n4, n2))),
% 24.10/24.32 inference(quant_inst,[status(thm)],[])).
% 24.10/24.32 tff(243,plain,
% 24.10/24.32 (leq(n2, pred(n4)) <=> gt(n4, n2)),
% 24.10/24.32 inference(unit_resolution,[status(thm)],[242, 121])).
% 24.10/24.32 tff(244,plain,
% 24.10/24.32 (gt(n4, n2) <=> gt(n4, n2)),
% 24.10/24.32 inference(rewrite,[status(thm)],[])).
% 24.10/24.32 tff(245,axiom,(gt(n4, n2)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','gt_4_2')).
% 24.10/24.32 tff(246,plain,
% 24.10/24.32 (gt(n4, n2)),
% 24.10/24.32 inference(modus_ponens,[status(thm)],[245, 244])).
% 24.10/24.32 tff(247,plain,
% 24.10/24.32 ((~(leq(n2, pred(n4)) <=> gt(n4, n2))) | leq(n2, pred(n4)) | (~gt(n4, n2))),
% 24.10/24.32 inference(tautology,[status(thm)],[])).
% 24.10/24.32 tff(248,plain,
% 24.10/24.32 ((~(leq(n2, pred(n4)) <=> gt(n4, n2))) | leq(n2, pred(n4))),
% 24.10/24.32 inference(unit_resolution,[status(thm)],[247, 246])).
% 24.10/24.32 tff(249,plain,
% 24.10/24.32 (leq(n2, pred(n4))),
% 24.10/24.32 inference(unit_resolution,[status(thm)],[248, 243])).
% 24.10/24.32 tff(250,plain,
% 24.10/24.32 (leq(n2, minus(n4, n1))),
% 24.10/24.32 inference(modus_ponens,[status(thm)],[249, 241])).
% 24.10/24.32 tff(251,plain,
% 24.10/24.32 ((~![X: $i] : (pred(succ(X)) = X)) | (pred(succ(n0)) = n0)),
% 24.10/24.32 inference(quant_inst,[status(thm)],[])).
% 24.10/24.32 tff(252,plain,
% 24.10/24.32 (pred(succ(n0)) = n0),
% 24.10/24.32 inference(unit_resolution,[status(thm)],[251, 6])).
% 24.10/24.32 tff(253,plain,
% 24.10/24.32 ((succ(n0) = n1) <=> (succ(n0) = n1)),
% 24.10/24.32 inference(rewrite,[status(thm)],[])).
% 24.10/24.32 tff(254,axiom,(succ(n0) = n1), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','successor_1')).
% 24.10/24.32 tff(255,plain,
% 24.10/24.32 (succ(n0) = n1),
% 24.10/24.32 inference(modus_ponens,[status(thm)],[254, 253])).
% 24.10/24.32 tff(256,plain,
% 24.10/24.32 (n1 = succ(n0)),
% 24.10/24.32 inference(symmetry,[status(thm)],[255])).
% 24.10/24.32 tff(257,plain,
% 24.10/24.32 (pred(n1) = pred(succ(n0))),
% 24.10/24.32 inference(monotonicity,[status(thm)],[256])).
% 24.10/24.32 tff(258,plain,
% 24.10/24.32 (pred(n1) = n0),
% 24.10/24.32 inference(transitivity,[status(thm)],[257, 252])).
% 24.10/24.32 tff(259,plain,
% 24.10/24.32 (leq(n0, pred(n1)) <=> leq(n0, n0)),
% 24.10/24.32 inference(monotonicity,[status(thm)],[258])).
% 24.10/24.32 tff(260,plain,
% 24.10/24.32 ((~![X: $i, Y: $i] : (leq(X, pred(Y)) <=> gt(Y, X))) | (leq(n0, pred(n1)) <=> gt(n1, n0))),
% 24.10/24.32 inference(quant_inst,[status(thm)],[])).
% 24.10/24.32 tff(261,plain,
% 24.10/24.32 (leq(n0, pred(n1)) <=> gt(n1, n0)),
% 24.10/24.32 inference(unit_resolution,[status(thm)],[260, 121])).
% 24.10/24.32 tff(262,plain,
% 24.10/24.32 (gt(n1, n0) <=> gt(n1, n0)),
% 24.10/24.32 inference(rewrite,[status(thm)],[])).
% 24.10/24.32 tff(263,axiom,(gt(n1, n0)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','gt_1_0')).
% 24.10/24.32 tff(264,plain,
% 24.10/24.32 (gt(n1, n0)),
% 24.10/24.32 inference(modus_ponens,[status(thm)],[263, 262])).
% 24.10/24.32 tff(265,plain,
% 24.10/24.32 ((~(leq(n0, pred(n1)) <=> gt(n1, n0))) | leq(n0, pred(n1)) | (~gt(n1, n0))),
% 24.10/24.32 inference(tautology,[status(thm)],[])).
% 24.10/24.32 tff(266,plain,
% 24.10/24.32 ((~(leq(n0, pred(n1)) <=> gt(n1, n0))) | leq(n0, pred(n1))),
% 24.10/24.32 inference(unit_resolution,[status(thm)],[265, 264])).
% 24.10/24.32 tff(267,plain,
% 24.10/24.32 (leq(n0, pred(n1))),
% 24.10/24.32 inference(unit_resolution,[status(thm)],[266, 261])).
% 24.10/24.32 tff(268,plain,
% 24.10/24.32 (leq(n0, n0)),
% 24.10/24.32 inference(modus_ponens,[status(thm)],[267, 259])).
% 24.10/24.32 tff(269,plain,
% 24.10/24.32 (leq(n1, minus(n4, n1)) <=> leq(n1, pred(n4))),
% 24.10/24.32 inference(monotonicity,[status(thm)],[218])).
% 24.10/24.32 tff(270,plain,
% 24.10/24.32 (leq(n1, pred(n4)) <=> leq(n1, minus(n4, n1))),
% 24.10/24.32 inference(symmetry,[status(thm)],[269])).
% 24.10/24.32 tff(271,plain,
% 24.10/24.32 ((~![X: $i, Y: $i] : (leq(X, pred(Y)) <=> gt(Y, X))) | (leq(n1, pred(n4)) <=> gt(n4, n1))),
% 24.10/24.32 inference(quant_inst,[status(thm)],[])).
% 24.10/24.32 tff(272,plain,
% 24.10/24.32 (leq(n1, pred(n4)) <=> gt(n4, n1)),
% 24.10/24.32 inference(unit_resolution,[status(thm)],[271, 121])).
% 24.10/24.32 tff(273,plain,
% 24.10/24.32 (gt(n4, n1) <=> gt(n4, n1)),
% 24.10/24.32 inference(rewrite,[status(thm)],[])).
% 24.10/24.32 tff(274,axiom,(gt(n4, n1)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','gt_4_1')).
% 24.10/24.32 tff(275,plain,
% 24.10/24.32 (gt(n4, n1)),
% 24.10/24.32 inference(modus_ponens,[status(thm)],[274, 273])).
% 24.10/24.32 tff(276,plain,
% 24.10/24.32 ((~(leq(n1, pred(n4)) <=> gt(n4, n1))) | leq(n1, pred(n4)) | (~gt(n4, n1))),
% 24.10/24.32 inference(tautology,[status(thm)],[])).
% 24.10/24.32 tff(277,plain,
% 24.10/24.32 ((~(leq(n1, pred(n4)) <=> gt(n4, n1))) | leq(n1, pred(n4))),
% 24.10/24.32 inference(unit_resolution,[status(thm)],[276, 275])).
% 24.10/24.32 tff(278,plain,
% 24.10/24.32 (leq(n1, pred(n4))),
% 24.10/24.32 inference(unit_resolution,[status(thm)],[277, 272])).
% 24.10/24.32 tff(279,plain,
% 24.10/24.32 (leq(n1, minus(n4, n1))),
% 24.10/24.32 inference(modus_ponens,[status(thm)],[278, 270])).
% 24.10/24.32 tff(280,plain,
% 24.10/24.32 (^[X: $i, Y: $i] : refl((geq(X, Y) <=> leq(Y, X)) <=> (geq(X, Y) <=> leq(Y, X)))),
% 24.10/24.32 inference(bind,[status(th)],[])).
% 24.10/24.32 tff(281,plain,
% 24.10/24.32 (![X: $i, Y: $i] : (geq(X, Y) <=> leq(Y, X)) <=> ![X: $i, Y: $i] : (geq(X, Y) <=> leq(Y, X))),
% 24.10/24.32 inference(quant_intro,[status(thm)],[280])).
% 24.10/24.32 tff(282,plain,
% 24.10/24.32 (![X: $i, Y: $i] : (geq(X, Y) <=> leq(Y, X)) <=> ![X: $i, Y: $i] : (geq(X, Y) <=> leq(Y, X))),
% 24.10/24.32 inference(rewrite,[status(thm)],[])).
% 24.10/24.32 tff(283,axiom,(![X: $i, Y: $i] : (geq(X, Y) <=> leq(Y, X))), file('/export/starexec/sandbox2/benchmark/Axioms/SWV003+0.ax','leq_geq')).
% 24.10/24.32 tff(284,plain,
% 24.10/24.32 (![X: $i, Y: $i] : (geq(X, Y) <=> leq(Y, X))),
% 24.10/24.32 inference(modus_ponens,[status(thm)],[283, 282])).
% 24.10/24.32 tff(285,plain,(
% 24.10/24.32 ![X: $i, Y: $i] : (geq(X, Y) <=> leq(Y, X))),
% 24.10/24.32 inference(skolemize,[status(sab)],[284])).
% 24.10/24.32 tff(286,plain,
% 24.10/24.32 (![X: $i, Y: $i] : (geq(X, Y) <=> leq(Y, X))),
% 24.10/24.32 inference(modus_ponens,[status(thm)],[285, 281])).
% 24.10/24.32 tff(287,plain,
% 24.10/24.32 ((~![X: $i, Y: $i] : (geq(X, Y) <=> leq(Y, X))) | (geq(minus(n4, n1), n0) <=> leq(n0, minus(n4, n1)))),
% 24.10/24.32 inference(quant_inst,[status(thm)],[])).
% 24.10/24.32 tff(288,plain,
% 24.10/24.32 (geq(minus(n4, n1), n0) <=> leq(n0, minus(n4, n1))),
% 24.10/24.32 inference(unit_resolution,[status(thm)],[287, 286])).
% 24.10/24.32 tff(289,plain,
% 24.10/24.32 (geq(minus(n4, n1), n0) <=> geq(minus(n4, n1), n0)),
% 24.10/24.32 inference(rewrite,[status(thm)],[])).
% 24.10/24.32 tff(290,plain,
% 24.10/24.32 ((~((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(n7, n0) & geq(minus(n1000, n1), n0))) | (~(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))))))),
% 24.16/24.35 inference(rewrite,[status(thm)],[])).
% 24.16/24.35 tff(291,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/sandbox2/benchmark/theBenchmark.p','thruster_array_0001')).
% 24.20/24.36 tff(292,plain,
% 24.20/24.36 (~((~(geq(n7, n0) & geq(minus(n1000, n1), n0))) | (~(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)))))),
% 24.20/24.37 inference(modus_ponens,[status(thm)],[291, 290])).
% 24.20/24.37 tff(293,plain,
% 24.20/24.37 (geq(minus(n4, n1), n0) & geq(minus(n1000, n1), n0)),
% 24.20/24.37 inference(or_elim,[status(thm)],[292])).
% 24.20/24.37 tff(294,plain,
% 24.20/24.37 (geq(minus(n4, n1), n0)),
% 24.20/24.37 inference(and_elim,[status(thm)],[293])).
% 24.20/24.37 tff(295,plain,
% 24.20/24.37 (geq(minus(n4, n1), n0)),
% 24.20/24.37 inference(modus_ponens,[status(thm)],[294, 289])).
% 24.20/24.37 tff(296,plain,
% 24.20/24.37 ((~(geq(minus(n4, n1), n0) <=> leq(n0, minus(n4, n1)))) | (~geq(minus(n4, n1), n0)) | leq(n0, minus(n4, n1))),
% 24.20/24.37 inference(tautology,[status(thm)],[])).
% 24.20/24.37 tff(297,plain,
% 24.20/24.37 ((~(geq(minus(n4, n1), n0) <=> leq(n0, minus(n4, n1)))) | leq(n0, minus(n4, n1))),
% 24.20/24.37 inference(unit_resolution,[status(thm)],[296, 295])).
% 24.20/24.37 tff(298,plain,
% 24.20/24.37 (leq(n0, minus(n4, n1))),
% 24.20/24.37 inference(unit_resolution,[status(thm)],[297, 288])).
% 24.20/24.37 tff(299,plain,
% 24.20/24.37 (((~![X: $i, Y: $i] : ((~gt(Y, X)) | leq(X, Y))) | ((~gt(n1, n0)) | leq(n0, n1))) <=> ((~![X: $i, Y: $i] : ((~gt(Y, X)) | leq(X, Y))) | (~gt(n1, n0)) | leq(n0, n1))),
% 24.20/24.37 inference(rewrite,[status(thm)],[])).
% 24.20/24.37 tff(300,plain,
% 24.20/24.37 ((~![X: $i, Y: $i] : ((~gt(Y, X)) | leq(X, Y))) | ((~gt(n1, n0)) | leq(n0, n1))),
% 24.20/24.37 inference(quant_inst,[status(thm)],[])).
% 24.20/24.37 tff(301,plain,
% 24.20/24.37 ((~![X: $i, Y: $i] : ((~gt(Y, X)) | leq(X, Y))) | (~gt(n1, n0)) | leq(n0, n1)),
% 24.20/24.37 inference(modus_ponens,[status(thm)],[300, 299])).
% 24.20/24.37 tff(302,plain,
% 24.20/24.37 (leq(n0, n1)),
% 24.20/24.37 inference(unit_resolution,[status(thm)],[301, 86, 264])).
% 24.20/24.37 tff(303,plain,
% 24.20/24.37 (gt(n3, n0) <=> gt(n3, n0)),
% 24.20/24.37 inference(rewrite,[status(thm)],[])).
% 24.20/24.37 tff(304,axiom,(gt(n3, n0)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','gt_3_0')).
% 24.20/24.37 tff(305,plain,
% 24.20/24.37 (gt(n3, n0)),
% 24.20/24.37 inference(modus_ponens,[status(thm)],[304, 303])).
% 24.20/24.37 tff(306,plain,
% 24.20/24.37 (((~![X: $i, Y: $i] : ((~gt(Y, X)) | leq(X, Y))) | ((~gt(n3, n0)) | leq(n0, n3))) <=> ((~![X: $i, Y: $i] : ((~gt(Y, X)) | leq(X, Y))) | (~gt(n3, n0)) | leq(n0, n3))),
% 24.20/24.37 inference(rewrite,[status(thm)],[])).
% 24.20/24.37 tff(307,plain,
% 24.20/24.37 ((~![X: $i, Y: $i] : ((~gt(Y, X)) | leq(X, Y))) | ((~gt(n3, n0)) | leq(n0, n3))),
% 24.20/24.37 inference(quant_inst,[status(thm)],[])).
% 24.20/24.37 tff(308,plain,
% 24.20/24.37 ((~![X: $i, Y: $i] : ((~gt(Y, X)) | leq(X, Y))) | (~gt(n3, n0)) | leq(n0, n3)),
% 24.20/24.37 inference(modus_ponens,[status(thm)],[307, 306])).
% 24.20/24.37 tff(309,plain,
% 24.20/24.37 (leq(n0, n3)),
% 24.20/24.37 inference(unit_resolution,[status(thm)],[308, 86, 305])).
% 24.20/24.37 tff(310,plain,
% 24.20/24.37 (gt(n2, n0) <=> gt(n2, n0)),
% 24.20/24.37 inference(rewrite,[status(thm)],[])).
% 24.20/24.37 tff(311,axiom,(gt(n2, n0)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','gt_2_0')).
% 24.20/24.37 tff(312,plain,
% 24.20/24.37 (gt(n2, n0)),
% 24.20/24.37 inference(modus_ponens,[status(thm)],[311, 310])).
% 24.20/24.37 tff(313,plain,
% 24.20/24.37 (((~![X: $i, Y: $i] : ((~gt(Y, X)) | leq(X, Y))) | ((~gt(n2, n0)) | leq(n0, n2))) <=> ((~![X: $i, Y: $i] : ((~gt(Y, X)) | leq(X, Y))) | (~gt(n2, n0)) | leq(n0, n2))),
% 24.20/24.37 inference(rewrite,[status(thm)],[])).
% 24.20/24.37 tff(314,plain,
% 24.20/24.37 ((~![X: $i, Y: $i] : ((~gt(Y, X)) | leq(X, Y))) | ((~gt(n2, n0)) | leq(n0, n2))),
% 24.20/24.37 inference(quant_inst,[status(thm)],[])).
% 24.20/24.37 tff(315,plain,
% 24.20/24.37 ((~![X: $i, Y: $i] : ((~gt(Y, X)) | leq(X, Y))) | (~gt(n2, n0)) | leq(n0, n2)),
% 24.20/24.37 inference(modus_ponens,[status(thm)],[314, 313])).
% 24.20/24.37 tff(316,plain,
% 24.20/24.37 (leq(n0, n2)),
% 24.20/24.37 inference(unit_resolution,[status(thm)],[315, 86, 312])).
% 24.20/24.37 tff(317,plain,
% 24.20/24.37 ((~((~leq(n0, n0)) | (~leq(n0, n1)) | (~leq(n0, n2)) | (~leq(n0, n3)) | (~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(n0, pv5)) | (~leq(pv5, minus(n1000, n1))) | (~(gt(pv5, n0) | (~((~leq(n0, n4)) | (~leq(n0, n5)) | (~leq(n0, n6)) | (~leq(n0, n7)) | (~leq(n1, n7)) | (~leq(n2, n7)) | (~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)))))) | (~((~gt(pv5, n0)) | (~((~leq(n0, n4)) | (~leq(n0, n5)) | (~leq(n0, n6)) | (~leq(n0, n7)) | (~leq(n1, n7)) | (~leq(n2, n7)) | (~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(n0, n0)) | (~leq(n0, n1)) | (~leq(n0, n2)) | (~leq(n0, n3)) | (~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(n0, pv5)) | (~leq(pv5, minus(n1000, n1))) | (~(gt(pv5, n0) | (~((~leq(n0, n4)) | (~leq(n0, n5)) | (~leq(n0, n6)) | (~leq(n0, n7)) | (~leq(n1, n7)) | (~leq(n2, n7)) | (~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)))))) | (~((~gt(pv5, n0)) | (~((~leq(n0, n4)) | (~leq(n0, n5)) | (~leq(n0, n6)) | (~leq(n0, n7)) | (~leq(n1, n7)) | (~leq(n2, n7)) | (~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))))))),
% 24.20/24.38 inference(tautology,[status(thm)],[])).
% 24.20/24.38 tff(318,plain,
% 24.20/24.38 ((~((~leq(n0, n0)) | (~leq(n0, n1)) | (~leq(n0, n2)) | (~leq(n0, n3)) | (~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(n0, pv5)) | (~leq(pv5, minus(n1000, n1))) | (~(gt(pv5, n0) | (~((~leq(n0, n4)) | (~leq(n0, n5)) | (~leq(n0, n6)) | (~leq(n0, n7)) | (~leq(n1, n7)) | (~leq(n2, n7)) | (~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)))))) | (~((~gt(pv5, n0)) | (~((~leq(n0, n4)) | (~leq(n0, n5)) | (~leq(n0, n6)) | (~leq(n0, n7)) | (~leq(n1, n7)) | (~leq(n2, n7)) | (~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(n0, pv5)) | (~leq(pv5, minus(n1000, n1))) | (~(gt(pv5, n0) | (~((~leq(n0, n4)) | (~leq(n0, n5)) | (~leq(n0, n6)) | (~leq(n0, n7)) | (~leq(n1, n7)) | (~leq(n2, n7)) | (~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)))))) | (~((~gt(pv5, n0)) | (~((~leq(n0, n4)) | (~leq(n0, n5)) | (~leq(n0, n6)) | (~leq(n0, n7)) | (~leq(n1, n7)) | (~leq(n2, n7)) | (~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))))))),
% 24.20/24.38 inference(unit_resolution,[status(thm)],[317, 316, 309, 302, 298, 279, 268, 250, 239, 229, 216, 213])).
% 24.20/24.38 tff(319,plain,
% 24.20/24.38 (~leq(pv5, minus(n1000, n1))),
% 24.20/24.38 inference(unit_resolution,[status(thm)],[318, 203, 201, 199, 60])).
% 24.20/24.38 tff(320,plain,
% 24.20/24.38 (~leq(pv5, pred(n1000))),
% 24.20/24.38 inference(modus_ponens,[status(thm)],[319, 57])).
% 24.20/24.38 tff(321,plain,
% 24.20/24.38 ((~![X: $i, Y: $i] : (leq(X, pred(Y)) <=> gt(Y, X))) | (leq(n588, pred(n1000)) <=> gt(n1000, n588))),
% 24.20/24.38 inference(quant_inst,[status(thm)],[])).
% 24.20/24.38 tff(322,plain,
% 24.20/24.38 (leq(n588, pred(n1000)) <=> gt(n1000, n588)),
% 24.20/24.38 inference(unit_resolution,[status(thm)],[321, 121])).
% 24.20/24.38 tff(323,plain,
% 24.20/24.38 (gt(n1000, n588) <=> gt(n1000, n588)),
% 24.20/24.38 inference(rewrite,[status(thm)],[])).
% 24.20/24.38 tff(324,axiom,(gt(n1000, n588)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','gt_1000_588')).
% 24.20/24.38 tff(325,plain,
% 24.20/24.38 (gt(n1000, n588)),
% 24.20/24.38 inference(modus_ponens,[status(thm)],[324, 323])).
% 24.20/24.38 tff(326,plain,
% 24.20/24.38 ((~(leq(n588, pred(n1000)) <=> gt(n1000, n588))) | leq(n588, pred(n1000)) | (~gt(n1000, n588))),
% 24.20/24.38 inference(tautology,[status(thm)],[])).
% 24.20/24.38 tff(327,plain,
% 24.20/24.38 ((~(leq(n588, pred(n1000)) <=> gt(n1000, n588))) | leq(n588, pred(n1000))),
% 24.20/24.38 inference(unit_resolution,[status(thm)],[326, 325])).
% 24.20/24.38 tff(328,plain,
% 24.20/24.38 (leq(n588, pred(n1000))),
% 24.20/24.38 inference(unit_resolution,[status(thm)],[327, 322])).
% 24.20/24.38 tff(329,plain,
% 24.20/24.38 (![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)))),
% 24.20/24.38 inference(rewrite,[status(thm)],[])).
% 24.20/24.38 tff(330,plain,
% 24.20/24.38 (^[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)))))),
% 24.20/24.38 inference(bind,[status(th)],[])).
% 24.20/24.38 tff(331,plain,
% 24.20/24.38 (![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)))),
% 24.20/24.38 inference(quant_intro,[status(thm)],[330])).
% 24.20/24.38 tff(332,plain,
% 24.20/24.38 (![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))),
% 24.20/24.38 inference(rewrite,[status(thm)],[])).
% 24.20/24.38 tff(333,plain,
% 24.20/24.38 (^[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)))),
% 24.20/24.38 inference(bind,[status(th)],[])).
% 24.20/24.38 tff(334,plain,
% 24.20/24.38 (![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))),
% 24.20/24.38 inference(quant_intro,[status(thm)],[333])).
% 24.20/24.38 tff(335,axiom,(![X: $i, Y: $i, Z: $i] : ((leq(X, Y) & leq(Y, Z)) => leq(X, Z))), file('/export/starexec/sandbox2/benchmark/Axioms/SWV003+0.ax','transitivity_leq')).
% 24.20/24.38 tff(336,plain,
% 24.20/24.38 (![X: $i, Y: $i, Z: $i] : ((~(leq(X, Y) & leq(Y, Z))) | leq(X, Z))),
% 24.20/24.38 inference(modus_ponens,[status(thm)],[335, 334])).
% 24.20/24.38 tff(337,plain,
% 24.20/24.38 (![X: $i, Y: $i, Z: $i] : ((~(leq(X, Y) & leq(Y, Z))) | leq(X, Z))),
% 24.20/24.38 inference(modus_ponens,[status(thm)],[336, 332])).
% 24.20/24.38 tff(338,plain,(
% 24.20/24.38 ![X: $i, Y: $i, Z: $i] : ((~(leq(X, Y) & leq(Y, Z))) | leq(X, Z))),
% 24.20/24.38 inference(skolemize,[status(sab)],[337])).
% 24.20/24.38 tff(339,plain,
% 24.20/24.38 (![X: $i, Y: $i, Z: $i] : (leq(X, Z) | (~leq(Y, Z)) | (~leq(X, Y)))),
% 24.20/24.38 inference(modus_ponens,[status(thm)],[338, 331])).
% 24.20/24.38 tff(340,plain,
% 24.20/24.38 (![X: $i, Y: $i, Z: $i] : (leq(X, Z) | (~leq(Y, Z)) | (~leq(X, Y)))),
% 24.20/24.38 inference(modus_ponens,[status(thm)],[339, 329])).
% 24.20/24.38 tff(341,plain,
% 24.20/24.38 (((~![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)))),
% 24.20/24.38 inference(rewrite,[status(thm)],[])).
% 24.20/24.38 tff(342,plain,
% 24.20/24.38 ((leq(pv5, pred(n1000)) | (~leq(n588, pred(n1000))) | (~leq(pv5, n588))) <=> ((~leq(pv5, n588)) | (~leq(n588, pred(n1000))) | leq(pv5, pred(n1000)))),
% 24.20/24.38 inference(rewrite,[status(thm)],[])).
% 24.20/24.38 tff(343,plain,
% 24.20/24.38 (((~![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))))),
% 24.20/24.38 inference(monotonicity,[status(thm)],[342])).
% 24.20/24.38 tff(344,plain,
% 24.20/24.38 (((~![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)))),
% 24.20/24.38 inference(transitivity,[status(thm)],[343, 341])).
% 24.20/24.38 tff(345,plain,
% 24.20/24.38 ((~![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)))),
% 24.20/24.38 inference(quant_inst,[status(thm)],[])).
% 24.20/24.38 tff(346,plain,
% 24.20/24.38 ((~![X: $i, Y: $i, Z: $i] : (leq(X, Z) | (~leq(Y, Z)) | (~leq(X, Y)))) | (~leq(pv5, n588)) | (~leq(n588, pred(n1000))) | leq(pv5, pred(n1000))),
% 24.20/24.38 inference(modus_ponens,[status(thm)],[345, 344])).
% 24.20/24.38 tff(347,plain,
% 24.20/24.38 (leq(pv5, pred(n1000))),
% 24.20/24.38 inference(unit_resolution,[status(thm)],[346, 340, 62, 328])).
% 24.20/24.38 tff(348,plain,
% 24.20/24.38 ($false),
% 24.20/24.38 inference(unit_resolution,[status(thm)],[347, 320])).
% 24.20/24.38 tff(349,plain,((~leq(n0, pv5)) | (~leq(pv5, n588)) | (~((~leq(n0, n0)) | (~leq(n0, n1)) | (~leq(n0, n2)) | (~leq(n0, n3)) | (~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(n0, pv5)) | (~leq(pv5, minus(n1000, n1))) | (~(gt(pv5, n0) | (~((~leq(n0, n4)) | (~leq(n0, n5)) | (~leq(n0, n6)) | (~leq(n0, n7)) | (~leq(n1, n7)) | (~leq(n2, n7)) | (~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)))))) | (~((~gt(pv5, n0)) | (~((~leq(n0, n4)) | (~leq(n0, n5)) | (~leq(n0, n6)) | (~leq(n0, n7)) | (~leq(n1, n7)) | (~leq(n2, n7)) | (~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))))))))), inference(lemma,lemma(discharge,[]))).
% 24.20/24.38 tff(350,assumption,(~leq(pv5, n588)), introduced(assumption)).
% 24.20/24.38 tff(351,plain,
% 24.20/24.38 (((~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, minus(n6, n1))) | (~leq(pv21, n5))))) | leq(pv5, n588)),
% 24.20/24.38 inference(tautology,[status(thm)],[])).
% 24.20/24.38 tff(352,plain,
% 24.20/24.38 ((~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, minus(n6, n1))) | (~leq(pv21, n5))))),
% 24.20/24.38 inference(unit_resolution,[status(thm)],[351, 350])).
% 24.20/24.38 tff(353,plain,
% 24.20/24.38 (((~leq(n0, pv5)) | (~leq(pv5, n588)) | (~leq(n0, pv31)) | (~leq(pv31, minus(n6, n1))) | (~((~leq(n0, pv5)) | (~leq(pv5, n588))))) | leq(pv5, n588)),
% 24.20/24.38 inference(tautology,[status(thm)],[])).
% 24.20/24.38 tff(354,plain,
% 24.20/24.38 ((~leq(n0, pv5)) | (~leq(pv5, n588)) | (~leq(n0, pv31)) | (~leq(pv31, minus(n6, n1))) | (~((~leq(n0, pv5)) | (~leq(pv5, n588))))),
% 24.20/24.38 inference(unit_resolution,[status(thm)],[353, 350])).
% 24.20/24.38 tff(355,plain,
% 24.20/24.38 ((~![X: $i, Y: $i] : (geq(X, Y) <=> leq(Y, X))) | (geq(minus(n1000, n1), n0) <=> leq(n0, minus(n1000, n1)))),
% 24.20/24.38 inference(quant_inst,[status(thm)],[])).
% 24.20/24.38 tff(356,plain,
% 24.20/24.38 (geq(minus(n1000, n1), n0) <=> leq(n0, minus(n1000, n1))),
% 24.20/24.38 inference(unit_resolution,[status(thm)],[355, 286])).
% 24.20/24.38 tff(357,plain,
% 24.20/24.38 (geq(minus(n1000, n1), n0) <=> geq(minus(n1000, n1), n0)),
% 24.20/24.38 inference(rewrite,[status(thm)],[])).
% 24.20/24.38 tff(358,plain,
% 24.20/24.38 (geq(n7, n0) & geq(minus(n1000, n1), n0)),
% 24.20/24.38 inference(or_elim,[status(thm)],[292])).
% 24.20/24.38 tff(359,plain,
% 24.20/24.38 (geq(minus(n1000, n1), n0)),
% 24.20/24.38 inference(and_elim,[status(thm)],[358])).
% 24.20/24.38 tff(360,plain,
% 24.20/24.38 (geq(minus(n1000, n1), n0)),
% 24.20/24.38 inference(modus_ponens,[status(thm)],[359, 357])).
% 24.20/24.38 tff(361,plain,
% 24.20/24.38 ((~(geq(minus(n1000, n1), n0) <=> leq(n0, minus(n1000, n1)))) | (~geq(minus(n1000, n1), n0)) | leq(n0, minus(n1000, n1))),
% 24.20/24.38 inference(tautology,[status(thm)],[])).
% 24.20/24.38 tff(362,plain,
% 24.20/24.38 ((~(geq(minus(n1000, n1), n0) <=> leq(n0, minus(n1000, n1)))) | leq(n0, minus(n1000, n1))),
% 24.20/24.38 inference(unit_resolution,[status(thm)],[361, 360])).
% 24.20/24.38 tff(363,plain,
% 24.20/24.38 (leq(n0, minus(n1000, n1))),
% 24.20/24.38 inference(unit_resolution,[status(thm)],[362, 356])).
% 24.20/24.38 tff(364,plain,
% 24.20/24.38 ((~((~leq(n0, 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, 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))),
% 24.20/24.38 inference(tautology,[status(thm)],[])).
% 24.20/24.38 tff(365,plain,
% 24.20/24.38 (~((~leq(n0, 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)))),
% 24.20/24.38 inference(unit_resolution,[status(thm)],[364, 71, 316, 309, 159, 145, 194, 187, 302, 298, 363, 180, 279, 268, 173, 250, 239, 166, 229, 101, 152, 91, 138, 131, 108, 216, 213])).
% 24.20/24.38 tff(366,plain,
% 24.20/24.38 (((~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, 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)))),
% 24.20/24.38 inference(tautology,[status(thm)],[])).
% 24.20/24.38 tff(367,plain,
% 24.20/24.38 ((~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))))),
% 24.20/24.38 inference(unit_resolution,[status(thm)],[366, 365])).
% 24.20/24.39 tff(368,plain,
% 24.20/24.39 (true <=> true),
% 24.20/24.39 inference(rewrite,[status(thm)],[])).
% 24.20/24.39 tff(369,axiom,(true), file('/export/starexec/sandbox2/benchmark/Axioms/SWV003+0.ax','ttrue')).
% 24.20/24.39 tff(370,plain,
% 24.20/24.39 (true),
% 24.20/24.39 inference(modus_ponens,[status(thm)],[369, 368])).
% 24.20/24.39 tff(371,plain,
% 24.20/24.39 ((true | (~geq(minus(n6, n1), n0)) | (~geq(minus(n4, n1), n0)) | (~geq(minus(n1000, n1), n0))) | (~true)),
% 24.20/24.39 inference(tautology,[status(thm)],[])).
% 24.20/24.39 tff(372,plain,
% 24.20/24.39 (true | (~geq(minus(n6, n1), n0)) | (~geq(minus(n4, n1), n0)) | (~geq(minus(n1000, n1), n0))),
% 24.20/24.39 inference(unit_resolution,[status(thm)],[371, 370])).
% 24.20/24.39 tff(373,plain,
% 24.20/24.39 ((true | (~leq(n0, a_select2(sigma, pv23))) | (~leq(n0, pv23)) | (~leq(pv23, minus(n6, n1)))) | (~true)),
% 24.20/24.39 inference(tautology,[status(thm)],[])).
% 24.20/24.39 tff(374,plain,
% 24.20/24.39 (true | (~leq(n0, a_select2(sigma, pv23))) | (~leq(n0, pv23)) | (~leq(pv23, minus(n6, n1)))),
% 24.20/24.39 inference(unit_resolution,[status(thm)],[373, 370])).
% 24.20/24.39 tff(375,plain,
% 24.20/24.39 ((true | (~leq(n0, pv5)) | (~leq(pv5, n588))) | (~true)),
% 24.20/24.39 inference(tautology,[status(thm)],[])).
% 24.20/24.39 tff(376,plain,
% 24.20/24.39 (true | (~leq(n0, pv5)) | (~leq(pv5, n588))),
% 24.20/24.39 inference(unit_resolution,[status(thm)],[375, 370])).
% 24.20/24.39 tff(377,plain,
% 24.20/24.39 ((~(~((~((~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, minus(n6, n1))) | (~leq(pv21, n5)))))) | (~((~leq(n0, pv5)) | (~leq(pv5, n588)) | (~leq(n0, pv31)) | (~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, 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(n0, pv5)) | (~leq(pv5, minus(n1000, n1))) | (~(gt(pv5, n0) | (~((~leq(n0, n4)) | (~leq(n0, n5)) | (~leq(n0, n6)) | (~leq(n0, n7)) | (~leq(n1, n7)) | (~leq(n2, n7)) | (~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)))))) | (~((~gt(pv5, n0)) | (~((~leq(n0, n4)) | (~leq(n0, n5)) | (~leq(n0, n6)) | (~leq(n0, n7)) | (~leq(n1, n7)) | (~leq(n2, n7)) | (~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)))))))))) | (~(true | (~leq(n0, a_select2(sigma, pv23))) | (~leq(n0, pv23)) | (~leq(pv23, minus(n6, n1))))) | (~(true | (~geq(minus(n6, n1), n0)) | (~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, minus(n6, n1))) | (~leq(pv21, n5)))))) | (~((~leq(n0, pv5)) | (~leq(pv5, n588)) | (~leq(n0, pv31)) | (~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, 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(n0, pv5)) | (~leq(pv5, minus(n1000, n1))) | (~(gt(pv5, n0) | (~((~leq(n0, n4)) | (~leq(n0, n5)) | (~leq(n0, n6)) | (~leq(n0, n7)) | (~leq(n1, n7)) | (~leq(n2, n7)) | (~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)))))) | (~((~gt(pv5, n0)) | (~((~leq(n0, n4)) | (~leq(n0, n5)) | (~leq(n0, n6)) | (~leq(n0, n7)) | (~leq(n1, n7)) | (~leq(n2, n7)) | (~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)))))))))) | (~(true | (~leq(n0, a_select2(sigma, pv23))) | (~leq(n0, pv23)) | (~leq(pv23, minus(n6, n1))))) | (~(true | (~geq(minus(n6, n1), n0)) | (~geq(minus(n4, n1), n0)) | (~geq(minus(n1000, n1), n0)))))),
% 24.20/24.39 inference(rewrite,[status(thm)],[])).
% 24.20/24.39 tff(378,plain,
% 24.20/24.39 ((((~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, minus(n6, n1))) | (~leq(pv21, n5))))) & ((~leq(n0, pv5)) | (~leq(pv5, n588)) | (~leq(n0, pv31)) | (~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, 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(n0, pv5)) | (~leq(pv5, minus(n1000, n1))) | (~(gt(pv5, n0) | (~((~leq(n0, n4)) | (~leq(n0, n5)) | (~leq(n0, n6)) | (~leq(n0, n7)) | (~leq(n1, n7)) | (~leq(n2, n7)) | (~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)))))) | (~((~gt(pv5, n0)) | (~((~leq(n0, n4)) | (~leq(n0, n5)) | (~leq(n0, n6)) | (~leq(n0, n7)) | (~leq(n1, n7)) | (~leq(n2, n7)) | (~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))))))))) & (true | (~leq(n0, a_select2(sigma, pv23))) | (~leq(n0, pv23)) | (~leq(pv23, minus(n6, n1)))) & (true | (~geq(minus(n6, n1), n0)) | (~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, minus(n6, n1))) | (~leq(pv21, n5)))))) | (~((~leq(n0, pv5)) | (~leq(pv5, n588)) | (~leq(n0, pv31)) | (~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, 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(n0, pv5)) | (~leq(pv5, minus(n1000, n1))) | (~(gt(pv5, n0) | (~((~leq(n0, n4)) | (~leq(n0, n5)) | (~leq(n0, n6)) | (~leq(n0, n7)) | (~leq(n1, n7)) | (~leq(n2, n7)) | (~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)))))) | (~((~gt(pv5, n0)) | (~((~leq(n0, n4)) | (~leq(n0, n5)) | (~leq(n0, n6)) | (~leq(n0, n7)) | (~leq(n1, n7)) | (~leq(n2, n7)) | (~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)))))))))) | (~(true | (~leq(n0, a_select2(sigma, pv23))) | (~leq(n0, pv23)) | (~leq(pv23, minus(n6, n1))))) | (~(true | (~geq(minus(n6, n1), n0)) | (~geq(minus(n4, n1), n0)) | (~geq(minus(n1000, n1), n0))))))),
% 24.20/24.39 inference(rewrite,[status(thm)],[])).
% 24.20/24.39 tff(379,plain,
% 24.20/24.39 ((true | ((~geq(minus(n4, n1), n0)) | (~geq(minus(n1000, n1), n0))) | (~geq(minus(n6, n1), n0))) <=> (true | (~geq(minus(n6, n1), n0)) | (~geq(minus(n4, n1), n0)) | (~geq(minus(n1000, n1), n0)))),
% 24.20/24.39 inference(rewrite,[status(thm)],[])).
% 24.20/24.39 tff(380,plain,
% 24.20/24.39 ((~(~((~geq(minus(n4, n1), n0)) | (~geq(minus(n1000, n1), n0))))) <=> ((~geq(minus(n4, n1), n0)) | (~geq(minus(n1000, n1), n0)))),
% 24.20/24.39 inference(rewrite,[status(thm)],[])).
% 24.20/24.39 tff(381,plain,
% 24.20/24.39 ((geq(minus(n4, n1), n0) & geq(minus(n1000, n1), n0)) <=> (~((~geq(minus(n4, n1), n0)) | (~geq(minus(n1000, n1), n0))))),
% 24.20/24.39 inference(rewrite,[status(thm)],[])).
% 24.20/24.39 tff(382,plain,
% 24.20/24.39 ((~(geq(minus(n4, n1), n0) & geq(minus(n1000, n1), n0))) <=> (~(~((~geq(minus(n4, n1), n0)) | (~geq(minus(n1000, n1), n0)))))),
% 24.20/24.39 inference(monotonicity,[status(thm)],[381])).
% 24.20/24.39 tff(383,plain,
% 24.20/24.39 ((~(geq(minus(n4, n1), n0) & geq(minus(n1000, n1), n0))) <=> ((~geq(minus(n4, n1), n0)) | (~geq(minus(n1000, n1), n0)))),
% 24.20/24.39 inference(transitivity,[status(thm)],[382, 380])).
% 24.20/24.39 tff(384,plain,
% 24.20/24.39 ((true | (~(geq(minus(n4, n1), n0) & geq(minus(n1000, n1), n0))) | (~geq(minus(n6, n1), n0))) <=> (true | ((~geq(minus(n4, n1), n0)) | (~geq(minus(n1000, n1), n0))) | (~geq(minus(n6, n1), n0)))),
% 24.20/24.39 inference(monotonicity,[status(thm)],[383])).
% 24.20/24.39 tff(385,plain,
% 24.20/24.39 ((true | (~(geq(minus(n4, n1), n0) & geq(minus(n1000, n1), n0))) | (~geq(minus(n6, n1), n0))) <=> (true | (~geq(minus(n6, n1), n0)) | (~geq(minus(n4, n1), n0)) | (~geq(minus(n1000, n1), n0)))),
% 24.20/24.39 inference(transitivity,[status(thm)],[384, 379])).
% 24.20/24.39 tff(386,plain,
% 24.20/24.39 ((true | (~leq(n0, a_select2(sigma, pv23))) | ((~leq(n0, pv23)) | (~leq(pv23, minus(n6, n1))))) <=> (true | (~leq(n0, a_select2(sigma, pv23))) | (~leq(n0, pv23)) | (~leq(pv23, minus(n6, n1))))),
% 24.20/24.39 inference(rewrite,[status(thm)],[])).
% 24.20/24.39 tff(387,plain,
% 24.20/24.39 ((~(~((~leq(n0, pv23)) | (~leq(pv23, minus(n6, n1)))))) <=> ((~leq(n0, pv23)) | (~leq(pv23, minus(n6, n1))))),
% 24.20/24.39 inference(rewrite,[status(thm)],[])).
% 24.20/24.39 tff(388,plain,
% 24.20/24.39 ((leq(n0, pv23) & leq(pv23, minus(n6, n1))) <=> (~((~leq(n0, pv23)) | (~leq(pv23, minus(n6, n1)))))),
% 24.20/24.39 inference(rewrite,[status(thm)],[])).
% 24.20/24.39 tff(389,plain,
% 24.20/24.39 ((~(leq(n0, pv23) & leq(pv23, minus(n6, n1)))) <=> (~(~((~leq(n0, pv23)) | (~leq(pv23, minus(n6, n1))))))),
% 24.20/24.39 inference(monotonicity,[status(thm)],[388])).
% 24.20/24.39 tff(390,plain,
% 24.20/24.39 ((~(leq(n0, pv23) & leq(pv23, minus(n6, n1)))) <=> ((~leq(n0, pv23)) | (~leq(pv23, minus(n6, n1))))),
% 24.20/24.39 inference(transitivity,[status(thm)],[389, 387])).
% 24.20/24.39 tff(391,plain,
% 24.20/24.39 ((true | (~leq(n0, a_select2(sigma, pv23))) | (~(leq(n0, pv23) & leq(pv23, minus(n6, n1))))) <=> (true | (~leq(n0, a_select2(sigma, pv23))) | ((~leq(n0, pv23)) | (~leq(pv23, minus(n6, n1)))))),
% 24.20/24.39 inference(monotonicity,[status(thm)],[390])).
% 24.20/24.39 tff(392,plain,
% 24.20/24.39 ((true | (~leq(n0, a_select2(sigma, pv23))) | (~(leq(n0, pv23) & leq(pv23, minus(n6, n1))))) <=> (true | (~leq(n0, a_select2(sigma, pv23))) | (~leq(n0, pv23)) | (~leq(pv23, minus(n6, n1))))),
% 24.20/24.39 inference(transitivity,[status(thm)],[391, 386])).
% 24.20/24.39 tff(393,plain,
% 24.20/24.39 ((((~leq(n0, pv5)) | (~leq(pv5, n588))) | (~((~leq(n0, n0)) | (~leq(n0, n1)) | (~leq(n0, n2)) | (~leq(n0, n3)) | (~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(n0, pv5)) | (~leq(pv5, minus(n1000, n1))) | (~(gt(pv5, n0) | (~((~leq(n0, n4)) | (~leq(n0, n5)) | (~leq(n0, n6)) | (~leq(n0, n7)) | (~leq(n1, n7)) | (~leq(n2, n7)) | (~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)))))) | (~((~gt(pv5, n0)) | (~((~leq(n0, n4)) | (~leq(n0, n5)) | (~leq(n0, n6)) | (~leq(n0, n7)) | (~leq(n1, n7)) | (~leq(n2, n7)) | (~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(n0, pv5)) | (~leq(pv5, n588)) | (~((~leq(n0, n0)) | (~leq(n0, n1)) | (~leq(n0, n2)) | (~leq(n0, n3)) | (~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(n0, pv5)) | (~leq(pv5, minus(n1000, n1))) | (~(gt(pv5, n0) | (~((~leq(n0, n4)) | (~leq(n0, n5)) | (~leq(n0, n6)) | (~leq(n0, n7)) | (~leq(n1, n7)) | (~leq(n2, n7)) | (~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)))))) | (~((~gt(pv5, n0)) | (~((~leq(n0, n4)) | (~leq(n0, n5)) | (~leq(n0, n6)) | (~leq(n0, n7)) | (~leq(n1, n7)) | (~leq(n2, n7)) | (~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)))))))))),
% 24.20/24.40 inference(rewrite,[status(thm)],[])).
% 24.20/24.40 tff(394,plain,
% 24.20/24.40 ((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) | (~((~leq(n0, n4)) | (~leq(n0, n5)) | (~leq(n0, n6)) | (~leq(n0, n7)) | (~leq(n1, n7)) | (~leq(n2, n7)) | (~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))))) & ((~gt(pv5, n0)) | (~((~leq(n0, n4)) | (~leq(n0, n5)) | (~leq(n0, n6)) | (~leq(n0, n7)) | (~leq(n1, n7)) | (~leq(n2, n7)) | (~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(n0, n0)) | (~leq(n0, n1)) | (~leq(n0, n2)) | (~leq(n0, n3)) | (~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(n0, pv5)) | (~leq(pv5, minus(n1000, n1))) | (~(gt(pv5, n0) | (~((~leq(n0, n4)) | (~leq(n0, n5)) | (~leq(n0, n6)) | (~leq(n0, n7)) | (~leq(n1, n7)) | (~leq(n2, n7)) | (~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)))))) | (~((~gt(pv5, n0)) | (~((~leq(n0, n4)) | (~leq(n0, n5)) | (~leq(n0, n6)) | (~leq(n0, n7)) | (~leq(n1, n7)) | (~leq(n2, n7)) | (~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))))))))),
% 24.20/24.40 inference(rewrite,[status(thm)],[])).
% 24.20/24.40 tff(395,plain,
% 24.20/24.40 (((~gt(pv5, n0)) | (leq(n0, n4) & leq(n0, n5) & leq(n0, n6) & leq(n0, n7) & leq(n1, n7) & leq(n2, n7) & 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(n3, minus(n6, n1)) & leq(pv5, n588))) <=> ((~gt(pv5, n0)) | (~((~leq(n0, n4)) | (~leq(n0, n5)) | (~leq(n0, n6)) | (~leq(n0, n7)) | (~leq(n1, n7)) | (~leq(n2, n7)) | (~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)))))),
% 24.20/24.40 inference(rewrite,[status(thm)],[])).
% 24.20/24.40 tff(396,plain,
% 24.20/24.40 ((gt(pv5, n0) | (~((~leq(n0, n4)) | (~leq(n0, n5)) | (~leq(n0, n6)) | (~leq(n0, n7)) | (~leq(n1, n7)) | (~leq(n2, n7)) | (~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))))) <=> (gt(pv5, n0) | (~((~leq(n0, n4)) | (~leq(n0, n5)) | (~leq(n0, n6)) | (~leq(n0, n7)) | (~leq(n1, n7)) | (~leq(n2, n7)) | (~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)))))),
% 24.20/24.40 inference(rewrite,[status(thm)],[])).
% 24.20/24.40 tff(397,plain,
% 24.20/24.40 ((leq(n0, n4) & leq(n0, n5) & leq(n0, n6) & leq(n0, n7) & leq(n1, n7) & leq(n2, n7) & 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(n0, n4)) | (~leq(n0, n5)) | (~leq(n0, n6)) | (~leq(n0, n7)) | (~leq(n1, n7)) | (~leq(n2, n7)) | (~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))))),
% 24.20/24.40 inference(rewrite,[status(thm)],[])).
% 24.20/24.40 tff(398,plain,
% 24.20/24.40 ((gt(pv5, n0) | (leq(n0, n4) & leq(n0, n5) & leq(n0, n6) & leq(n0, n7) & leq(n1, n7) & leq(n2, n7) & 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))) <=> (gt(pv5, n0) | (~((~leq(n0, n4)) | (~leq(n0, n5)) | (~leq(n0, n6)) | (~leq(n0, n7)) | (~leq(n1, n7)) | (~leq(n2, n7)) | (~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)))))),
% 24.20/24.40 inference(monotonicity,[status(thm)],[397])).
% 24.20/24.40 tff(399,plain,
% 24.20/24.40 ((gt(pv5, n0) | (leq(n0, n4) & leq(n0, n5) & leq(n0, n6) & leq(n0, n7) & leq(n1, n7) & leq(n2, n7) & 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))) <=> (gt(pv5, n0) | (~((~leq(n0, n4)) | (~leq(n0, n5)) | (~leq(n0, n6)) | (~leq(n0, n7)) | (~leq(n1, n7)) | (~leq(n2, n7)) | (~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)))))),
% 24.20/24.40 inference(transitivity,[status(thm)],[398, 396])).
% 24.20/24.40 tff(400,plain,
% 24.20/24.40 ((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) | (leq(n0, n4) & leq(n0, n5) & leq(n0, n6) & leq(n0, n7) & leq(n1, n7) & leq(n2, n7) & 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))) & ((~gt(pv5, n0)) | (leq(n0, n4) & leq(n0, n5) & leq(n0, n6) & leq(n0, n7) & leq(n1, n7) & leq(n2, n7) & 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(n3, minus(n6, n1)) & 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) | (~((~leq(n0, n4)) | (~leq(n0, n5)) | (~leq(n0, n6)) | (~leq(n0, n7)) | (~leq(n1, n7)) | (~leq(n2, n7)) | (~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))))) & ((~gt(pv5, n0)) | (~((~leq(n0, n4)) | (~leq(n0, n5)) | (~leq(n0, n6)) | (~leq(n0, n7)) | (~leq(n1, n7)) | (~leq(n2, n7)) | (~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))))))),
% 24.20/24.40 inference(monotonicity,[status(thm)],[399, 395])).
% 24.20/24.40 tff(401,plain,
% 24.20/24.40 ((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) | (leq(n0, n4) & leq(n0, n5) & leq(n0, n6) & leq(n0, n7) & leq(n1, n7) & leq(n2, n7) & 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))) & ((~gt(pv5, n0)) | (leq(n0, n4) & leq(n0, n5) & leq(n0, n6) & leq(n0, n7) & leq(n1, n7) & leq(n2, n7) & 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(n3, minus(n6, n1)) & leq(pv5, n588)))) <=> (~((~leq(n0, n0)) | (~leq(n0, n1)) | (~leq(n0, n2)) | (~leq(n0, n3)) | (~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(n0, pv5)) | (~leq(pv5, minus(n1000, n1))) | (~(gt(pv5, n0) | (~((~leq(n0, n4)) | (~leq(n0, n5)) | (~leq(n0, n6)) | (~leq(n0, n7)) | (~leq(n1, n7)) | (~leq(n2, n7)) | (~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)))))) | (~((~gt(pv5, n0)) | (~((~leq(n0, n4)) | (~leq(n0, n5)) | (~leq(n0, n6)) | (~leq(n0, n7)) | (~leq(n1, n7)) | (~leq(n2, n7)) | (~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))))))))),
% 24.20/24.40 inference(transitivity,[status(thm)],[400, 394])).
% 24.20/24.40 tff(402,plain,
% 24.20/24.40 ((~(~((~leq(n0, pv5)) | (~leq(pv5, n588))))) <=> ((~leq(n0, pv5)) | (~leq(pv5, n588)))),
% 24.20/24.40 inference(rewrite,[status(thm)],[])).
% 24.20/24.40 tff(403,plain,
% 24.20/24.40 ((leq(n0, pv5) & leq(pv5, n588)) <=> (~((~leq(n0, pv5)) | (~leq(pv5, n588))))),
% 24.20/24.40 inference(rewrite,[status(thm)],[])).
% 24.20/24.40 tff(404,plain,
% 24.20/24.40 ((~(leq(n0, pv5) & leq(pv5, n588))) <=> (~(~((~leq(n0, pv5)) | (~leq(pv5, n588)))))),
% 24.20/24.40 inference(monotonicity,[status(thm)],[403])).
% 24.20/24.40 tff(405,plain,
% 24.20/24.40 ((~(leq(n0, pv5) & leq(pv5, n588))) <=> ((~leq(n0, pv5)) | (~leq(pv5, n588)))),
% 24.20/24.40 inference(transitivity,[status(thm)],[404, 402])).
% 24.20/24.40 tff(406,plain,
% 24.20/24.40 (((~(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) | (leq(n0, n4) & leq(n0, n5) & leq(n0, n6) & leq(n0, n7) & leq(n1, n7) & leq(n2, n7) & 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))) & ((~gt(pv5, n0)) | (leq(n0, n4) & leq(n0, n5) & leq(n0, n6) & leq(n0, n7) & leq(n1, n7) & leq(n2, n7) & 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(n3, minus(n6, n1)) & leq(pv5, n588))))) <=> (((~leq(n0, pv5)) | (~leq(pv5, n588))) | (~((~leq(n0, n0)) | (~leq(n0, n1)) | (~leq(n0, n2)) | (~leq(n0, n3)) | (~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(n0, pv5)) | (~leq(pv5, minus(n1000, n1))) | (~(gt(pv5, n0) | (~((~leq(n0, n4)) | (~leq(n0, n5)) | (~leq(n0, n6)) | (~leq(n0, n7)) | (~leq(n1, n7)) | (~leq(n2, n7)) | (~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)))))) | (~((~gt(pv5, n0)) | (~((~leq(n0, n4)) | (~leq(n0, n5)) | (~leq(n0, n6)) | (~leq(n0, n7)) | (~leq(n1, n7)) | (~leq(n2, n7)) | (~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)))))))))),
% 24.20/24.41 inference(monotonicity,[status(thm)],[405, 401])).
% 24.20/24.41 tff(407,plain,
% 24.20/24.41 (((~(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) | (leq(n0, n4) & leq(n0, n5) & leq(n0, n6) & leq(n0, n7) & leq(n1, n7) & leq(n2, n7) & 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))) & ((~gt(pv5, n0)) | (leq(n0, n4) & leq(n0, n5) & leq(n0, n6) & leq(n0, n7) & leq(n1, n7) & leq(n2, n7) & 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(n3, minus(n6, n1)) & leq(pv5, n588))))) <=> ((~leq(n0, pv5)) | (~leq(pv5, n588)) | (~((~leq(n0, n0)) | (~leq(n0, n1)) | (~leq(n0, n2)) | (~leq(n0, n3)) | (~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(n0, pv5)) | (~leq(pv5, minus(n1000, n1))) | (~(gt(pv5, n0) | (~((~leq(n0, n4)) | (~leq(n0, n5)) | (~leq(n0, n6)) | (~leq(n0, n7)) | (~leq(n1, n7)) | (~leq(n2, n7)) | (~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)))))) | (~((~gt(pv5, n0)) | (~((~leq(n0, n4)) | (~leq(n0, n5)) | (~leq(n0, n6)) | (~leq(n0, n7)) | (~leq(n1, n7)) | (~leq(n2, n7)) | (~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)))))))))),
% 24.20/24.41 inference(transitivity,[status(thm)],[406, 393])).
% 24.20/24.41 tff(408,plain,
% 24.20/24.41 ((true | ((~leq(n0, pv5)) | (~leq(pv5, n588)))) <=> (true | (~leq(n0, pv5)) | (~leq(pv5, n588)))),
% 24.20/24.41 inference(rewrite,[status(thm)],[])).
% 24.20/24.41 tff(409,plain,
% 24.20/24.41 ((true | (~(leq(n0, pv5) & leq(pv5, n588)))) <=> (true | ((~leq(n0, pv5)) | (~leq(pv5, n588))))),
% 24.20/24.41 inference(monotonicity,[status(thm)],[405])).
% 24.20/24.41 tff(410,plain,
% 24.20/24.41 ((true | (~(leq(n0, pv5) & leq(pv5, n588)))) <=> (true | (~leq(n0, pv5)) | (~leq(pv5, n588)))),
% 24.20/24.41 inference(transitivity,[status(thm)],[409, 408])).
% 24.20/24.41 tff(411,plain,
% 24.20/24.41 ((((~leq(n0, pv5)) | (~leq(pv5, n588)) | (~leq(n0, pv31)) | (~leq(pv31, minus(n6, n1)))) | (~((~leq(n0, pv5)) | (~leq(pv5, n588))))) <=> ((~leq(n0, pv5)) | (~leq(pv5, n588)) | (~leq(n0, pv31)) | (~leq(pv31, minus(n6, n1))) | (~((~leq(n0, pv5)) | (~leq(pv5, n588)))))),
% 24.20/24.41 inference(rewrite,[status(thm)],[])).
% 24.20/24.41 tff(412,plain,
% 24.20/24.41 ((~(~((~leq(n0, pv5)) | (~leq(pv5, n588)) | (~leq(n0, pv31)) | (~leq(pv31, minus(n6, n1)))))) <=> ((~leq(n0, pv5)) | (~leq(pv5, n588)) | (~leq(n0, pv31)) | (~leq(pv31, minus(n6, n1))))),
% 24.20/24.41 inference(rewrite,[status(thm)],[])).
% 24.20/24.41 tff(413,plain,
% 24.20/24.41 ((leq(n0, pv5) & leq(n0, pv31) & leq(pv5, n588) & leq(pv31, minus(n6, n1))) <=> (~((~leq(n0, pv5)) | (~leq(pv5, n588)) | (~leq(n0, pv31)) | (~leq(pv31, minus(n6, n1)))))),
% 24.20/24.41 inference(rewrite,[status(thm)],[])).
% 24.20/24.41 tff(414,plain,
% 24.20/24.41 ((~(leq(n0, pv5) & leq(n0, pv31) & leq(pv5, n588) & leq(pv31, minus(n6, n1)))) <=> (~(~((~leq(n0, pv5)) | (~leq(pv5, n588)) | (~leq(n0, pv31)) | (~leq(pv31, minus(n6, n1))))))),
% 24.20/24.41 inference(monotonicity,[status(thm)],[413])).
% 24.20/24.41 tff(415,plain,
% 24.20/24.41 ((~(leq(n0, pv5) & leq(n0, pv31) & leq(pv5, n588) & leq(pv31, minus(n6, n1)))) <=> ((~leq(n0, pv5)) | (~leq(pv5, n588)) | (~leq(n0, pv31)) | (~leq(pv31, minus(n6, n1))))),
% 24.20/24.41 inference(transitivity,[status(thm)],[414, 412])).
% 24.20/24.41 tff(416,plain,
% 24.20/24.41 (((~(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, pv31)) | (~leq(pv31, minus(n6, n1)))) | (~((~leq(n0, pv5)) | (~leq(pv5, n588)))))),
% 24.20/24.41 inference(monotonicity,[status(thm)],[415, 403])).
% 24.20/24.41 tff(417,plain,
% 24.20/24.41 (((~(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, pv31)) | (~leq(pv31, minus(n6, n1))) | (~((~leq(n0, pv5)) | (~leq(pv5, n588)))))),
% 24.20/24.41 inference(transitivity,[status(thm)],[416, 411])).
% 24.20/24.41 tff(418,plain,
% 24.20/24.41 ((((~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, minus(n6, n1))) | (~leq(pv21, n5))))) <=> ((~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, minus(n6, n1))) | (~leq(pv21, n5)))))),
% 24.20/24.41 inference(rewrite,[status(thm)],[])).
% 24.20/24.41 tff(419,plain,
% 24.20/24.41 ((leq(n0, n0) & leq(n0, pv5) & leq(n0, pv21) & leq(pv5, n588) & leq(pv21, n5) & leq(pv21, minus(n6, n1))) <=> (~((~leq(n0, n0)) | (~leq(n0, pv5)) | (~leq(n0, pv21)) | (~leq(pv5, n588)) | (~leq(pv21, minus(n6, n1))) | (~leq(pv21, n5))))),
% 24.20/24.41 inference(rewrite,[status(thm)],[])).
% 24.20/24.41 tff(420,plain,
% 24.20/24.41 ((~(~((~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, minus(n6, n1))))),
% 24.20/24.41 inference(rewrite,[status(thm)],[])).
% 24.20/24.41 tff(421,plain,
% 24.20/24.41 ((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, minus(n6, n1)))))),
% 24.20/24.41 inference(rewrite,[status(thm)],[])).
% 24.20/24.41 tff(422,plain,
% 24.20/24.41 ((~(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, minus(n6, n1))))))),
% 24.20/24.41 inference(monotonicity,[status(thm)],[421])).
% 24.20/24.41 tff(423,plain,
% 24.20/24.41 ((~(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, minus(n6, n1))))),
% 24.20/24.41 inference(transitivity,[status(thm)],[422, 420])).
% 24.20/24.41 tff(424,plain,
% 24.20/24.41 (((~(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, pv21)) | (~leq(pv5, n588)) | (~leq(pv21, minus(n6, n1)))) | (~((~leq(n0, n0)) | (~leq(n0, pv5)) | (~leq(n0, pv21)) | (~leq(pv5, n588)) | (~leq(pv21, minus(n6, n1))) | (~leq(pv21, n5)))))),
% 24.20/24.41 inference(monotonicity,[status(thm)],[423, 419])).
% 24.20/24.41 tff(425,plain,
% 24.20/24.41 (((~(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, pv21)) | (~leq(pv5, n588)) | (~leq(pv21, minus(n6, n1))) | (~((~leq(n0, n0)) | (~leq(n0, pv5)) | (~leq(n0, pv21)) | (~leq(pv5, n588)) | (~leq(pv21, minus(n6, n1))) | (~leq(pv21, n5)))))),
% 24.20/24.41 inference(transitivity,[status(thm)],[424, 418])).
% 24.20/24.41 tff(426,plain,
% 24.20/24.41 (((~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))) <=> ((~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)))))),
% 24.20/24.41 inference(rewrite,[status(thm)],[])).
% 24.20/24.41 tff(427,plain,
% 24.20/24.41 ((((~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(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) | (leq(n0, n4) & leq(n0, n5) & leq(n0, n6) & leq(n0, n7) & leq(n1, n7) & leq(n2, n7) & 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))) & ((~gt(pv5, n0)) | (leq(n0, n4) & leq(n0, n5) & leq(n0, n6) & leq(n0, n7) & leq(n1, n7) & leq(n2, n7) & 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(n3, minus(n6, n1)) & leq(pv5, n588))))) & (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, minus(n6, n1))) | (~leq(pv21, n5))))) & ((~leq(n0, pv5)) | (~leq(pv5, n588)) | (~leq(n0, pv31)) | (~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, 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(n0, pv5)) | (~leq(pv5, minus(n1000, n1))) | (~(gt(pv5, n0) | (~((~leq(n0, n4)) | (~leq(n0, n5)) | (~leq(n0, n6)) | (~leq(n0, n7)) | (~leq(n1, n7)) | (~leq(n2, n7)) | (~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)))))) | (~((~gt(pv5, n0)) | (~((~leq(n0, n4)) | (~leq(n0, n5)) | (~leq(n0, n6)) | (~leq(n0, n7)) | (~leq(n1, n7)) | (~leq(n2, n7)) | (~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))))))))) & (true | (~leq(n0, a_select2(sigma, pv23))) | (~leq(n0, pv23)) | (~leq(pv23, minus(n6, n1)))) & (true | (~geq(minus(n6, n1), n0)) | (~geq(minus(n4, n1), n0)) | (~geq(minus(n1000, n1), n0))))),
% 24.20/24.42 inference(monotonicity,[status(thm)],[426, 425, 417, 410, 407, 392, 385])).
% 24.20/24.42 tff(428,plain,
% 24.20/24.42 ((((~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(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) | (leq(n0, n4) & leq(n0, n5) & leq(n0, n6) & leq(n0, n7) & leq(n1, n7) & leq(n2, n7) & 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))) & ((~gt(pv5, n0)) | (leq(n0, n4) & leq(n0, n5) & leq(n0, n6) & leq(n0, n7) & leq(n1, n7) & leq(n2, n7) & 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(n3, minus(n6, n1)) & leq(pv5, n588))))) & (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, minus(n6, n1))) | (~leq(pv21, n5)))))) | (~((~leq(n0, pv5)) | (~leq(pv5, n588)) | (~leq(n0, pv31)) | (~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, 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(n0, pv5)) | (~leq(pv5, minus(n1000, n1))) | (~(gt(pv5, n0) | (~((~leq(n0, n4)) | (~leq(n0, n5)) | (~leq(n0, n6)) | (~leq(n0, n7)) | (~leq(n1, n7)) | (~leq(n2, n7)) | (~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)))))) | (~((~gt(pv5, n0)) | (~((~leq(n0, n4)) | (~leq(n0, n5)) | (~leq(n0, n6)) | (~leq(n0, n7)) | (~leq(n1, n7)) | (~leq(n2, n7)) | (~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)))))))))) | (~(true | (~leq(n0, a_select2(sigma, pv23))) | (~leq(n0, pv23)) | (~leq(pv23, minus(n6, n1))))) | (~(true | (~geq(minus(n6, n1), n0)) | (~geq(minus(n4, n1), n0)) | (~geq(minus(n1000, n1), n0))))))),
% 24.20/24.42 inference(transitivity,[status(thm)],[427, 378])).
% 24.20/24.42 tff(429,plain,
% 24.20/24.42 ((~(((~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(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) | (leq(n0, n4) & leq(n0, n5) & leq(n0, n6) & leq(n0, n7) & leq(n1, n7) & leq(n2, n7) & 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))) & ((~gt(pv5, n0)) | (leq(n0, n4) & leq(n0, n5) & leq(n0, n6) & leq(n0, n7) & leq(n1, n7) & leq(n2, n7) & 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(n3, minus(n6, n1)) & leq(pv5, n588))))) & (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, minus(n6, n1))) | (~leq(pv21, n5)))))) | (~((~leq(n0, pv5)) | (~leq(pv5, n588)) | (~leq(n0, pv31)) | (~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, 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(n0, pv5)) | (~leq(pv5, minus(n1000, n1))) | (~(gt(pv5, n0) | (~((~leq(n0, n4)) | (~leq(n0, n5)) | (~leq(n0, n6)) | (~leq(n0, n7)) | (~leq(n1, n7)) | (~leq(n2, n7)) | (~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)))))) | (~((~gt(pv5, n0)) | (~((~leq(n0, n4)) | (~leq(n0, n5)) | (~leq(n0, n6)) | (~leq(n0, n7)) | (~leq(n1, n7)) | (~leq(n2, n7)) | (~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)))))))))) | (~(true | (~leq(n0, a_select2(sigma, pv23))) | (~leq(n0, pv23)) | (~leq(pv23, minus(n6, n1))))) | (~(true | (~geq(minus(n6, n1), n0)) | (~geq(minus(n4, n1), n0)) | (~geq(minus(n1000, n1), n0)))))))),
% 24.20/24.42 inference(monotonicity,[status(thm)],[428])).
% 24.20/24.42 tff(430,plain,
% 24.20/24.42 ((~(((~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(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) | (leq(n0, n4) & leq(n0, n5) & leq(n0, n6) & leq(n0, n7) & leq(n1, n7) & leq(n2, n7) & 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))) & ((~gt(pv5, n0)) | (leq(n0, n4) & leq(n0, n5) & leq(n0, n6) & leq(n0, n7) & leq(n1, n7) & leq(n2, n7) & 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(n3, minus(n6, n1)) & leq(pv5, n588))))) & (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, minus(n6, n1))) | (~leq(pv21, n5)))))) | (~((~leq(n0, pv5)) | (~leq(pv5, n588)) | (~leq(n0, pv31)) | (~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, 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(n0, pv5)) | (~leq(pv5, minus(n1000, n1))) | (~(gt(pv5, n0) | (~((~leq(n0, n4)) | (~leq(n0, n5)) | (~leq(n0, n6)) | (~leq(n0, n7)) | (~leq(n1, n7)) | (~leq(n2, n7)) | (~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)))))) | (~((~gt(pv5, n0)) | (~((~leq(n0, n4)) | (~leq(n0, n5)) | (~leq(n0, n6)) | (~leq(n0, n7)) | (~leq(n1, n7)) | (~leq(n2, n7)) | (~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)))))))))) | (~(true | (~leq(n0, a_select2(sigma, pv23))) | (~leq(n0, pv23)) | (~leq(pv23, minus(n6, n1))))) | (~(true | (~geq(minus(n6, n1), n0)) | (~geq(minus(n4, n1), n0)) | (~geq(minus(n1000, n1), n0)))))),
% 24.20/24.43 inference(transitivity,[status(thm)],[429, 377])).
% 24.20/24.43 tff(431,plain,
% 24.20/24.43 ((((~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(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) | (leq(n0, n4) & leq(n0, n5) & leq(n0, n6) & leq(n0, n7) & leq(n1, n7) & leq(n2, n7) & 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))) & ((~gt(pv5, n0)) | (leq(n0, n4) & leq(n0, n5) & leq(n0, n6) & leq(n0, n7) & leq(n1, n7) & leq(n2, n7) & 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(n3, minus(n6, n1)) & leq(pv5, n588))))) & (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(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) | (leq(n0, n4) & leq(n0, n5) & leq(n0, n6) & leq(n0, n7) & leq(n1, n7) & leq(n2, n7) & 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))) & ((~gt(pv5, n0)) | (leq(n0, n4) & leq(n0, n5) & leq(n0, n6) & leq(n0, n7) & leq(n1, n7) & leq(n2, n7) & 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(n3, minus(n6, n1)) & leq(pv5, n588))))) & (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))))),
% 24.27/24.43 inference(rewrite,[status(thm)],[])).
% 24.27/24.43 tff(432,plain,
% 24.27/24.43 ((~(((~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(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) | (leq(n0, n4) & leq(n0, n5) & leq(n0, n6) & leq(n0, n7) & leq(n1, n7) & leq(n2, n7) & 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))) & ((~gt(pv5, n0)) | (leq(n0, n4) & leq(n0, n5) & leq(n0, n6) & leq(n0, n7) & leq(n1, n7) & leq(n2, n7) & 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(n3, minus(n6, n1)) & leq(pv5, n588))))) & (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(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) | (leq(n0, n4) & leq(n0, n5) & leq(n0, n6) & leq(n0, n7) & leq(n1, n7) & leq(n2, n7) & 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))) & ((~gt(pv5, n0)) | (leq(n0, n4) & leq(n0, n5) & leq(n0, n6) & leq(n0, n7) & leq(n1, n7) & leq(n2, n7) & 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(n3, minus(n6, n1)) & leq(pv5, n588))))) & (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)))))),
% 24.27/24.44 inference(monotonicity,[status(thm)],[431])).
% 24.27/24.44 tff(433,plain,
% 24.27/24.44 ((~(((~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(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) | (leq(n0, n4) & leq(n0, n5) & leq(n0, n6) & leq(n0, n7) & leq(n1, n7) & leq(n2, n7) & 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))) & ((~gt(pv5, n0)) | (leq(n0, n4) & leq(n0, n5) & leq(n0, n6) & leq(n0, n7) & leq(n1, n7) & leq(n2, n7) & 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(n3, minus(n6, n1)) & leq(pv5, n588))))) & (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)))))),
% 24.27/24.45 inference(rewrite,[status(thm)],[])).
% 24.27/24.45 tff(434,plain,
% 24.27/24.45 ((((~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))))),
% 24.31/24.47 inference(rewrite,[status(thm)],[])).
% 24.31/24.47 tff(435,plain,
% 24.31/24.47 ((~(((~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)))))),
% 24.31/24.50 inference(monotonicity,[status(thm)],[434])).
% 24.31/24.50 tff(436,plain,
% 24.31/24.50 (~(((~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))))),
% 24.31/24.51 inference(or_elim,[status(thm)],[292])).
% 24.31/24.51 tff(437,plain,
% 24.31/24.51 (~(((~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))))),
% 24.31/24.52 inference(modus_ponens,[status(thm)],[436, 435])).
% 24.31/24.52 tff(438,plain,
% 24.31/24.52 (~(((~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(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) | (leq(n0, n4) & leq(n0, n5) & leq(n0, n6) & leq(n0, n7) & leq(n1, n7) & leq(n2, n7) & 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))) & ((~gt(pv5, n0)) | (leq(n0, n4) & leq(n0, n5) & leq(n0, n6) & leq(n0, n7) & leq(n1, n7) & leq(n2, n7) & 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(n3, minus(n6, n1)) & leq(pv5, n588))))) & (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))))),
% 24.31/24.52 inference(modus_ponens,[status(thm)],[437, 433])).
% 24.31/24.52 tff(439,plain,
% 24.31/24.52 (~(((~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(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) | (leq(n0, n4) & leq(n0, n5) & leq(n0, n6) & leq(n0, n7) & leq(n1, n7) & leq(n2, n7) & 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))) & ((~gt(pv5, n0)) | (leq(n0, n4) & leq(n0, n5) & leq(n0, n6) & leq(n0, n7) & leq(n1, n7) & leq(n2, n7) & 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(n3, minus(n6, n1)) & leq(pv5, n588))))) & (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))))),
% 24.31/24.52 inference(modus_ponens,[status(thm)],[438, 432])).
% 24.31/24.52 tff(440,plain,
% 24.31/24.52 (~(((~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(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) | (leq(n0, n4) & leq(n0, n5) & leq(n0, n6) & leq(n0, n7) & leq(n1, n7) & leq(n2, n7) & 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))) & ((~gt(pv5, n0)) | (leq(n0, n4) & leq(n0, n5) & leq(n0, n6) & leq(n0, n7) & leq(n1, n7) & leq(n2, n7) & 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(n3, minus(n6, n1)) & leq(pv5, n588))))) & (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))))),
% 24.31/24.52 inference(modus_ponens,[status(thm)],[439, 432])).
% 24.31/24.52 tff(441,plain,
% 24.31/24.52 ((~((~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, minus(n6, n1))) | (~leq(pv21, n5)))))) | (~((~leq(n0, pv5)) | (~leq(pv5, n588)) | (~leq(n0, pv31)) | (~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, 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(n0, pv5)) | (~leq(pv5, minus(n1000, n1))) | (~(gt(pv5, n0) | (~((~leq(n0, n4)) | (~leq(n0, n5)) | (~leq(n0, n6)) | (~leq(n0, n7)) | (~leq(n1, n7)) | (~leq(n2, n7)) | (~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)))))) | (~((~gt(pv5, n0)) | (~((~leq(n0, n4)) | (~leq(n0, n5)) | (~leq(n0, n6)) | (~leq(n0, n7)) | (~leq(n1, n7)) | (~leq(n2, n7)) | (~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)))))))))) | (~(true | (~leq(n0, a_select2(sigma, pv23))) | (~leq(n0, pv23)) | (~leq(pv23, minus(n6, n1))))) | (~(true | (~geq(minus(n6, n1), n0)) | (~geq(minus(n4, n1), n0)) | (~geq(minus(n1000, n1), n0))))),
% 24.31/24.52 inference(modus_ponens,[status(thm)],[440, 430])).
% 24.31/24.52 tff(442,plain,
% 24.31/24.52 ((~((~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, minus(n6, n1))) | (~leq(pv21, n5)))))) | (~((~leq(n0, pv5)) | (~leq(pv5, n588)) | (~leq(n0, pv31)) | (~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, 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(n0, pv5)) | (~leq(pv5, minus(n1000, n1))) | (~(gt(pv5, n0) | (~((~leq(n0, n4)) | (~leq(n0, n5)) | (~leq(n0, n6)) | (~leq(n0, n7)) | (~leq(n1, n7)) | (~leq(n2, n7)) | (~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)))))) | (~((~gt(pv5, n0)) | (~((~leq(n0, n4)) | (~leq(n0, n5)) | (~leq(n0, n6)) | (~leq(n0, n7)) | (~leq(n1, n7)) | (~leq(n2, n7)) | (~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))))))))))),
% 24.31/24.53 inference(unit_resolution,[status(thm)],[441, 376, 374, 372])).
% 24.31/24.53 tff(443,plain,
% 24.31/24.53 ((~((~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, minus(n6, n1))) | (~leq(pv21, n5)))))) | (~((~leq(n0, pv5)) | (~leq(pv5, n588)) | (~leq(n0, pv31)) | (~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, 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(n0, pv5)) | (~leq(pv5, minus(n1000, n1))) | (~(gt(pv5, n0) | (~((~leq(n0, n4)) | (~leq(n0, n5)) | (~leq(n0, n6)) | (~leq(n0, n7)) | (~leq(n1, n7)) | (~leq(n2, n7)) | (~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)))))) | (~((~gt(pv5, n0)) | (~((~leq(n0, n4)) | (~leq(n0, n5)) | (~leq(n0, n6)) | (~leq(n0, n7)) | (~leq(n1, n7)) | (~leq(n2, n7)) | (~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))))))))))),
% 24.31/24.53 inference(unit_resolution,[status(thm)],[442, 367])).
% 24.31/24.53 tff(444,plain,
% 24.31/24.53 ($false),
% 24.31/24.53 inference(unit_resolution,[status(thm)],[443, 354, 352, 349])).
% 24.31/24.53 tff(445,plain,(leq(pv5, n588)), inference(lemma,lemma(discharge,[]))).
% 24.31/24.53 tff(446,assumption,(~((~leq(n0, pv5)) | (~leq(pv5, n588)) | (~leq(n0, pv31)) | (~leq(pv31, minus(n6, n1))) | (~((~leq(n0, pv5)) | (~leq(pv5, n588)))))), introduced(assumption)).
% 24.31/24.53 tff(447,plain,
% 24.31/24.53 (((~leq(n0, pv5)) | (~leq(pv5, n588)) | (~leq(n0, pv31)) | (~leq(pv31, minus(n6, n1))) | (~((~leq(n0, pv5)) | (~leq(pv5, n588))))) | leq(n0, pv5)),
% 24.31/24.53 inference(tautology,[status(thm)],[])).
% 24.31/24.53 tff(448,plain,
% 24.31/24.53 (leq(n0, pv5)),
% 24.31/24.53 inference(unit_resolution,[status(thm)],[447, 446])).
% 24.31/24.53 tff(449,plain,
% 24.31/24.53 (((~leq(n0, pv5)) | (~leq(pv5, n588)) | (~leq(n0, pv31)) | (~leq(pv31, minus(n6, n1))) | (~((~leq(n0, pv5)) | (~leq(pv5, n588))))) | ((~leq(n0, pv5)) | (~leq(pv5, n588)))),
% 24.31/24.53 inference(tautology,[status(thm)],[])).
% 24.31/24.53 tff(450,plain,
% 24.31/24.53 ((~leq(n0, pv5)) | (~leq(pv5, n588))),
% 24.31/24.53 inference(unit_resolution,[status(thm)],[449, 446])).
% 24.31/24.53 tff(451,plain,
% 24.31/24.53 ((~((~leq(n0, pv5)) | (~leq(pv5, n588)))) | (~leq(n0, pv5)) | (~leq(pv5, n588))),
% 24.41/24.63 inference(tautology,[status(thm)],[])).
% 24.41/24.63 tff(452,plain,
% 24.41/24.63 ($false),
% 24.41/24.63 inference(unit_resolution,[status(thm)],[451, 450, 448, 445])).
% 24.41/24.63 tff(453,plain,((~leq(n0, pv5)) | (~leq(pv5, n588)) | (~leq(n0, pv31)) | (~leq(pv31, minus(n6, n1))) | (~((~leq(n0, pv5)) | (~leq(pv5, n588))))), inference(lemma,lemma(discharge,[]))).
% 24.41/24.63 tff(454,plain,
% 24.41/24.63 (~((~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, minus(n6, n1))) | (~leq(pv21, n5)))))),
% 24.41/24.63 inference(unit_resolution,[status(thm)],[443, 453, 349])).
% 24.41/24.63 tff(455,plain,
% 24.41/24.63 (((~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, minus(n6, n1))) | (~leq(pv21, n5))))) | leq(pv21, minus(n6, n1))),
% 24.41/24.63 inference(tautology,[status(thm)],[])).
% 24.41/24.63 tff(456,plain,
% 24.41/24.63 (leq(pv21, minus(n6, n1))),
% 24.41/24.63 inference(unit_resolution,[status(thm)],[455, 454])).
% 24.41/24.63 tff(457,plain,
% 24.41/24.63 (leq(pv21, n5)),
% 24.41/24.63 inference(modus_ponens,[status(thm)],[456, 51])).
% 24.41/24.63 tff(458,plain,
% 24.41/24.63 (((~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, minus(n6, n1))) | (~leq(pv21, n5))))) | ((~leq(n0, n0)) | (~leq(n0, pv5)) | (~leq(n0, pv21)) | (~leq(pv5, n588)) | (~leq(pv21, minus(n6, n1))) | (~leq(pv21, n5)))),
% 24.41/24.63 inference(tautology,[status(thm)],[])).
% 24.41/24.63 tff(459,plain,
% 24.41/24.63 ((~leq(n0, n0)) | (~leq(n0, pv5)) | (~leq(n0, pv21)) | (~leq(pv5, n588)) | (~leq(pv21, minus(n6, n1))) | (~leq(pv21, n5))),
% 24.41/24.63 inference(unit_resolution,[status(thm)],[458, 454])).
% 24.41/24.63 tff(460,plain,
% 24.41/24.63 (((~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, minus(n6, n1))) | (~leq(pv21, n5))))) | leq(n0, pv21)),
% 24.41/24.63 inference(tautology,[status(thm)],[])).
% 24.41/24.63 tff(461,plain,
% 24.41/24.63 (leq(n0, pv21)),
% 24.41/24.63 inference(unit_resolution,[status(thm)],[460, 454])).
% 24.41/24.63 tff(462,plain,
% 24.41/24.63 (((~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, minus(n6, n1))) | (~leq(pv21, n5))))) | leq(n0, pv5)),
% 24.41/24.63 inference(tautology,[status(thm)],[])).
% 24.41/24.63 tff(463,plain,
% 24.41/24.63 (leq(n0, pv5)),
% 24.41/24.63 inference(unit_resolution,[status(thm)],[462, 454])).
% 24.41/24.63 tff(464,plain,
% 24.41/24.63 ((~((~leq(n0, n0)) | (~leq(n0, pv5)) | (~leq(n0, pv21)) | (~leq(pv5, n588)) | (~leq(pv21, minus(n6, n1))) | (~leq(pv21, n5)))) | (~leq(n0, n0)) | (~leq(n0, pv5)) | (~leq(n0, pv21)) | (~leq(pv5, n588)) | (~leq(pv21, minus(n6, n1))) | (~leq(pv21, n5))),
% 24.41/24.63 inference(tautology,[status(thm)],[])).
% 24.41/24.63 tff(465,plain,
% 24.41/24.63 ((~((~leq(n0, n0)) | (~leq(n0, pv5)) | (~leq(n0, pv21)) | (~leq(pv5, n588)) | (~leq(pv21, minus(n6, n1))) | (~leq(pv21, n5)))) | (~leq(n0, pv5)) | (~leq(n0, pv21)) | (~leq(pv5, n588)) | (~leq(pv21, minus(n6, n1))) | (~leq(pv21, n5))),
% 24.41/24.63 inference(unit_resolution,[status(thm)],[464, 268])).
% 24.41/24.63 tff(466,plain,
% 24.41/24.63 (~leq(pv21, n5)),
% 24.41/24.63 inference(unit_resolution,[status(thm)],[465, 456, 445, 463, 461, 459])).
% 24.41/24.63 tff(467,plain,
% 24.41/24.63 ($false),
% 24.41/24.63 inference(unit_resolution,[status(thm)],[466, 457])).
% 24.41/24.63 % SZS output end Proof
% 24.47/24.66 % E exiting
%------------------------------------------------------------------------------